Math Processor Unit Library

diff --git a/mpu/etens/emu32768/ei_mtens_256_emu32lsb.dfn b/mpu/etens/emu32768/ei_mtens_256_emu32lsb.dfn
new file mode 100644
index 0000000..890f4a5
--- /dev/null
+++ b/mpu/etens/emu32768/ei_mtens_256_emu32lsb.dfn
@@ -0,0 +1,67208 @@
+
+#ifndef   __REAL_EINTERNAL_MTENS_256_32LSB
+#define   __REAL_EINTERNAL_MTENS_256_32LSB
+
+#if BITS_PER_EMUSHORT == 32
+
+static EMUSHORT _ei_mtens_32768_[NTEN_32768+1][NPIR_32768] =
+{
+/*   lgw                   */
+/*   S i g n i f i c a n d */
+/*   hgw                   */
+/*   Exponent              */
+/*   Sign                  */
+  { 0x00000000,
+    0xdfd6a957, 0x0f9eebf1, 0x7c374024, 0x151f90a2, 0x6baf9569, 0x35c145da, 0x4db06a4c, 0x37b557c5,
+    0xebb53122, 0x956db31c, 0x6b1bbacb, 0xe95094de, 0x1bdbe59a, 0x7c787084, 0xc905412f, 0x233816c6,
+    0x35ebbbe8, 0x7bb1735d, 0x99c4a6a9, 0x7ec06805, 0x40e396ea, 0x3db47789, 0x579942f2, 0xfd34808e,
+    0x6eedc060, 0xa1637540, 0x11a4417b, 0xee01512a, 0xa66b835e, 0x34926b0f, 0x92ec683f, 0x55e3101f,
+    0x5aa16101, 0x3ca13772, 0x1f57ac11, 0x556ee48d, 0x604f8d0f, 0x07e46457, 0x6acc3998, 0xcf6318a0,
+    0x02f6bb1d, 0xa11db5ed, 0x33535411, 0x770c2c26, 0xcc719ee7, 0x35f51cc6, 0x49a59883, 0x3d0167a4,
+    0x15cb1f83, 0x8e01a18a, 0xfa232285, 0x2d7818b2, 0xbf9cc82b, 0x40fd22d2, 0xa119c22e, 0x02232d67,
+    0xe96697c5, 0xd5a21b21, 0xac123d0e, 0xdc979943, 0x3e4fc274, 0x44a8f32f, 0x137809ee, 0x18cd6afe,
+    0x41b38c46, 0x163c4287, 0x8f572cff, 0x5adb687c, 0xee22e6a8, 0xa9d45c2a, 0x5f83fe7c, 0xf2dc4b16,
+    0x647f2bb4, 0x11de1fd0, 0xa8a03648, 0x5b0b251a, 0xbfd90f0f, 0x58e2a7c2, 0xf0a1737f, 0x71dfbb94,
+    0xf248ba3f, 0xac9ec14d, 0x702d1b86, 0x5e35a909, 0x9a540887, 0x03bf0381, 0x50463cf1, 0xe1d414ad,
+    0xfdc94d92, 0x7848c3a8, 0x7787fb98, 0x0c3b9187, 0xb1a6ee03, 0x22a0626f, 0x0c594281, 0xc2948350,
+    0x9f068b48, 0x5e67c8f9, 0xe732314d, 0x2ea359a4, 0xa3b7059f, 0x2f820f77, 0x70b274ea, 0x2959ed5e,
+    0x21b3dd5f, 0xcc984067, 0x25cd66f2, 0xf1ca4f2f, 0xcb503796, 0x9c24ec46, 0xbf2d8f21, 0x87ef0340,
+    0x574334c1, 0x5f95c156, 0x40db3a77, 0x569bd2c0, 0x389b790e, 0xd1bf28de, 0x7dbd50e9, 0x433402a7,
+    0x457122f0, 0x52b530b1, 0x9f9a9b27, 0x57e13f9b, 0xf9224775, 0x61caee17, 0x35fbb619, 0x668bd0e0,
+    0x66fc849e, 0xd9d19339, 0x1a1b8a6c, 0x46676e36, 0xb8f87581, 0x0edc0956, 0x640e37c5, 0xfd4a729f,
+    0xbfab82d7, 0x8b4f0cf3, 0x4b289e5b, 0xe46cdbe1, 0x1f1e40c0, 0x00dab6a6, 0x5727cb4b, 0x3f70eb5a,
+    0x2643c17b, 0x098f07eb, 0xf03382d0, 0xeb9833a1, 0x325946fc, 0xd6afff4e, 0xed3f73af, 0x5f7f8ea3,
+    0x593d8d52, 0x161496cc, 0x3fffe2df, 0xa123db16, 0xef7a7a54, 0xf3ae0c1a, 0x2c4be060, 0xbfad748e,
+    0x7b0e0e83, 0x93df722a, 0x6add6da7, 0xcccd396c, 0x6e1d2d4f, 0xb67d2619, 0x82f51df8, 0x9f06fe4a,
+    0xb43b9a53, 0xe3710767, 0x9c7b9743, 0x3cf4c979, 0x7a06fbce, 0x6693b5a1, 0x7c6a12e5, 0x82981133,
+    0x6a15454f, 0xe0fc7cc1, 0xee7565ad, 0x19b48791, 0x5791158a, 0x75ba5a05, 0x856ed082, 0xaf7584bc,
+    0x4c1af2a9, 0x94c38d84, 0xb91021ad, 0x6f48b79f, 0x9803b5e7, 0x8884f01b, 0x3989fbcd, 0x53bc8226,
+    0x2a9b2743, 0x7a3d7017, 0x229e2003, 0xaf9f96c3, 0x107359e1, 0xd34f57c6, 0xa4c0fcbb, 0x79104d17,
+    0x4ee440c2, 0xd0d37e0f, 0x7b41e8ce, 0xa838a2a5, 0x9ac44cee, 0xd205766b, 0xfb9fa45e, 0x347fb460,
+    0x9d596dc5, 0x3f88f41e, 0xa3272265, 0x0520382b, 0x338a5933, 0x915bcd65, 0x1f6315a6, 0xed1de24f,
+    0x6e2c5b45, 0x3f141d75, 0x0fcbb991, 0x3a495a00, 0x52f413be, 0xc1a25b8f, 0x9cc7120d, 0x6c6c476e,
+    0x46a816dc, 0xbbaef7ed, 0x70ff1a1e, 0x865817f9, 0xb239036a, 0xf573b72a, 0x3bc61d96, 0x02c16a3b,
+    0xca08ecd1, 0x1f80022b, 0x4cede3d7, 0x411636fb, 0xec1d2884, 0xc3f5f302, 0x4f25905b, 0xfca17553,
+    0x6bdb8709, 0x92c92ab7, 0x84e1c6de, 0xf18e0bdc, 0x7d12d69a, 0xc7b8d552, 0x9ff4c96e, 0xc2ae00d7,
+    0x967cf947, 0xf1ea0809, 0x689ff017, 0xdcfd9f26, 0x7e039be7, 0xdc2d2aad, 0xc4d2e0d7, 0x881923ba,
+    0x61d3c32e, 0x6d9416e4, 0xbb6e341d, 0xdacc7399, 0x212ac6da, 0xb37b1d94, 0x086849a9, 0x922fe7ef,
+    0xe01e4a5a, 0x34a8993e, 0x42feb573, 0x66f0b7f5, 0xace75c8e, 0x8f74ce21, 0xf991aa42, 0xd2e4174c,
+    0x0e445b73, 0xd874f9cc, 0x36a2f86f, 0xa33c0f60, 0xfa429fd3, 0xfffd9a76, 0xefe83c00, 0xae3c3dc6,
+    0x71d001df, 0x9251ebdf, 0x6f5232f4, 0x79b02bf1, 0xb01bd015, 0x1ffa9ce0, 0x50632de0, 0xc24f750f,
+    0xa039cfe3, 0x735d7338, 0x624ad733, 0xaab9f86f, 0x49cc8708, 0x57e48f30, 0x5822c0cc, 0x3e071540,
+    0x4a3cca59, 0x746ab629, 0xd11e4d76, 0xa39652b9, 0xf6cbc0f5, 0xb558d32d, 0xd4578651, 0xb5faef31,
+    0xd1386a71, 0xa30befe4, 0x4413b83b, 0xa2619918, 0xff3fe779, 0x9c2eaa6c, 0x89818ed3, 0xd86c315d,
+    0x10642bcf, 0xc4680e4c, 0xd5c9abf0, 0x828b2a8b, 0x9f1ae8d5, 0xce047ed5, 0xae950df5, 0xa7f87687,
+    0x075c480b, 0x017a49ea, 0x11575f27, 0xf28749e0, 0x4fcbf396, 0x284ef261, 0xa1d6bf3d, 0x7151e525,
+    0xdd6b11c7, 0x7707c15f, 0xc36e1cb4, 0x581bb576, 0x1ac4c0ec, 0x27a14c98, 0xd880cc70, 0xd69d473f,
+    0xcc342c45, 0x06ea58da, 0x206bc36f, 0x089789fe, 0x2602addd, 0x76c6a931, 0x421d67b8, 0x162df9f9,
+    0xf0b248a2, 0x6d1e35f5, 0xfa346ec5, 0x76ed4cf1, 0x0d57f12e, 0x26d550c8, 0xf8c2385c, 0x1d4c2a29,
+    0x13b7f31c, 0xdf022c2a, 0x31e8d477, 0x959d9486, 0x34e18895, 0x2fb558b0, 0x3db519ee, 0xc822ef8c,
+    0x39515816, 0x5a2f6c46, 0x9771a851, 0xf8de2bc4, 0xa0cc2066, 0x51c923b0, 0xc3680f8b, 0x78a6868d,
+    0xb84ceca8, 0x8fbd2782, 0x83a7b0fb, 0xa35567a0, 0xb915f924, 0x60c4f6e5, 0x20411899, 0x6058c7b9,
+    0x6bcb3c36, 0xcc1a4858, 0x2b71d293, 0x71341106, 0xc232cb10, 0x7dafb331, 0xfb40d393, 0x3c4646ad,
+    0x44d2e256, 0x9eda0b9d, 0x82a4f9b9, 0x4eeb6496, 0x6dfaa890, 0x954c0e14, 0x771bd5c3, 0xc07b4caa,
+    0x23ee6115, 0x976051a0, 0xaadff5e5, 0xc04a2046, 0x97aab6b9, 0xad1e7def, 0x885e9656, 0xd71618d2,
+    0x5bc951f5, 0xd57803a9, 0x98f3c074, 0xaaaa1523, 0x779603c4, 0xed2df808, 0xc9466da4, 0x59cdccdd,
+    0xa3e3b877, 0xceaf07be, 0xf4c19419, 0x4fb5fcb7, 0x7d28e66b, 0xdf38fe24, 0x6817c88d, 0xd9d3f635,
+    0x5e5b6dfd, 0x326dfbe4, 0xef8cc626, 0xa25b025a, 0xf8c868a7, 0xa6e008c1, 0xb22be67f, 0xd813155f,
+    0x87675968, 0x498780fc, 0x15208d7e, 0x7713d4f8, 0x15b4fdd7, 0x13964e9a, 0x80ba6820, 0x51de9180,
+    0xa1d1851e, 0x4b5f90f9, 0x9d53737c, 0x04ceda3e, 0x6357b680, 0x71a7374f, 0x23c5fa90, 0x643d6994,
+    0x7bd6fb36, 0x4b7e52ef, 0x9818f4bd, 0x6e1de737, 0xd9fa4895, 0x87749b3a, 0xb819a847, 0x0e3becd6,
+    0x80dc3718, 0x46e02e3a, 0x1801dfa9, 0xb5bbeb62, 0x252aa4d0, 0x48d8ca2d, 0x5c10e052, 0x1f852735,
+    0x757cf50e, 0xdeb3a432, 0x005d9cf8, 0x1a82a0cc, 0xe5a7ce6f, 0xe5b1259d, 0x6b3a80a3, 0x8705d3e3,
+    0x335ad622, 0xa5b478fc, 0x9794e227, 0xe3ab8d45, 0x2ef06542, 0xb07882e4, 0xdbf39348, 0xdf923868,
+    0x5a750eea, 0x900169f3, 0x01a32c9b, 0xef2a920b, 0x50e5cad6, 0xdb54ca38, 0x3c4ecabb, 0xbc2a21f2,
+    0xfef0c463, 0xfc8c7a2b, 0x081163e0, 0xb6f69e02, 0x0fc8c885, 0x153da06c, 0x55e9dd71, 0x199fdf73,
+    0x4fadb678, 0xb80661ae, 0xb7b21f71, 0xe2dbb8c9, 0xfb004ca0, 0xa9a81437, 0x42673bc7, 0xef2aa16d,
+    0x91680b53, 0x7e6ec3ad, 0x7c3a00b8, 0xa9fd23f7, 0x360bf81b, 0x030b637f, 0x4ff3752f, 0x3f25c359,
+    0x60d564a4, 0x49c1899d, 0x70c5eaa9, 0x1bd1dfab, 0x72c73f34, 0xf2b99ab7, 0xa33d9d1d, 0x55e02e97,
+    0xb6959f2c, 0x3d5268ac, 0xa4360794, 0xd0e89940, 0xb0a7c798, 0x6df56427, 0xdabb196b, 0xab5e5d78,
+    0x60432148, 0x7063d770, 0x8fea8bd1, 0xbc11e8b7, 0xf7145f87, 0xe0107a19, 0x67447b6b, 0xb7946d2f,
+    0xb1b87d5a, 0x01b9d5c4, 0xd5117a92, 0x05c70f12, 0xb07073aa, 0xa15eaec5, 0x0465b986, 0x54082f6c,
+    0xe2618969, 0x838f7231, 0x290e5bc3, 0x98b0eebf, 0x8c733c67, 0x28a6143c, 0x93996621, 0xab044ab9,
+    0xc04dbb1c, 0x82195616, 0xcdecd17d, 0xaae5cd17, 0x4c9979bc, 0xd505bc1b, 0x2ba8b3fc, 0xe9533752,
+    0x2b299ee6, 0xd595bc4a, 0xb7c1d9fa, 0x95753487, 0xa71db21e, 0x212cbc73, 0x261546c5, 0xfec091a7,
+    0xe946e2c9, 0x2e006216, 0xb755da68, 0xbaa8074c, 0x16443898, 0x60be9a77, 0x452ac8f3, 0x36a1cea9,
+    0x3dd38957, 0x083d96d2, 0xa1ce5055, 0x420ba0e2, 0x33182684, 0xf0efabe1, 0xd1bd2ba7, 0x1b8e71cd,
+    0xfe2a1fd4, 0x18c6aa87, 0xab8ad39f, 0xb386a777, 0xb445a22c, 0xa9738f6d, 0xdfd33949, 0x244eb87b,
+    0x42532e69, 0x60bbd04c, 0xb09e60b0, 0x358aff9a, 0x2287da16, 0x0a78053f, 0x5d6c0e26, 0xe966c8de,
+    0x082b3419, 0xf98cb679, 0x8e8f8d7e, 0x38c5eecd, 0x38a46b41, 0x02fa0302, 0xea073459, 0xc964e4dd,
+    0x45bb2d95, 0x8c8de059, 0xe2c8de02, 0x2bbb0e1e, 0xd8745cb1, 0x67c76cd9, 0x62a236ae, 0x29f89570,
+    0x5a181f9c, 0xa1858d9d, 0x2130495f, 0x1226a564, 0x0105c4b1, 0x41c52eb4, 0xebabf16f, 0x21df5c65,
+    0x4246b0d5, 0xea836964, 0xa126ad96, 0x9f46ca8e, 0x20595fc9, 0xd7c5613b, 0x25ef0fdd, 0x69a032b5,
+    0x4b640744, 0x059cf54d, 0xacc13bb2, 0x22cc3bff, 0x75e954a7, 0xbb424036, 0xcdde2bb5, 0x590c1d2c,
+    0x46abe2b1, 0xad682776, 0x0f0d33d7, 0xb4419022, 0xfbb34624, 0xc88f9f04, 0x9bf3fae4, 0xbcc7a1c5,
+    0xe646c455, 0x9efd63d9, 0x9206616e, 0xecc6a9cb, 0x05592607, 0x940c0217, 0x7619e094, 0x267b7664,
+    0x521c0da5, 0x7e039543, 0xe9000193, 0xa05b7377, 0x4605ad13, 0x6814ed86, 0xfff90c7c, 0xb1ccb10c,
+    0x33dde072, 0xe116004d, 0x1d6b3f4d, 0xdec083ad, 0x6f53e664, 0x79b58afb, 0xfea944cb, 0x12daed3f,
+    0xd2dc3a6d, 0x9796dafa, 0xbf82cf1f, 0x246e6872, 0x91980456, 0xa3cb40fc, 0x2a64ea52, 0x625706cd,
+    0xc65c85fa, 0xbcd1a9e0, 0x6caaf72b, 0xca53ef9e, 0x0d1542dc, 0x4f47917f, 0x03ef6075, 0x2e3dcf93,
+    0x1fb49e66, 0xac2956d8, 0x8658fa24, 0xa2c29413, 0x30c2ef6e, 0xe71bf446, 0xf11a92b6, 0xf3123838,
+    0x5b059e74, 0x8681f9ee, 0xbf33c465, 0x84a96a1f, 0x782be01a, 0x82a4ac69, 0xa9fa383f, 0x54e25c37,
+    0x017578cd, 0x8e6fc3f6, 0x312274b5, 0x4dd118c3, 0x29c950f9, 0x28f97aec, 0xf1320426, 0x4df8ff34,
+    0x188342cc, 0x10d3068d, 0x9f8b7562, 0x6d157bb6, 0xbffd2e73, 0x759c4bba, 0x45b8d73f, 0xc2ccefa3,
+    0x80f21e6f, 0xd2d0d5b4, 0x52ae2b42, 0x70c19047, 0xdc6ea221, 0x369bb141, 0xb6d561cf, 0x7de387f6,
+    0x6f69209c, 0x2fea2a2d, 0x873fb8a4, 0xb48c94ee, 0xd2953946, 0xccc93abd, 0xcf64ddd5, 0xb0509cb9,
+    0xc4f68ff9, 0xc05ad580, 0x73522eb1, 0xf288f0ac, 0x8dd962c5, 0x70eb93de, 0xbebc4a41, 0x03ced956,
+    0xc89d717c, 0x09c5f423, 0x07e4be81, 0x7b2ab4ae, 0xd1dca477, 0x822d466b, 0x8f9dac32, 0x79daaa62,
+    0xa0ea827e, 0x72e5048d, 0x53336c1a, 0x8b74f500, 0xfb9045ad, 0x5984f64f, 0x6a4f1e38, 0x057a0727,
+    0xa72dd658, 0x0dcdf620, 0xf5c162f7, 0x6eaca8b4, 0x6c499b90, 0xc7cfb624, 0xbc07f2bb, 0x50144643,
+    0xbc06798b, 0xdafdec37, 0x9869f553, 0xd0dbce99, 0xe5c0e131, 0x48353f48, 0x751d2f64, 0xfe636c55,
+    0x4da87580, 0xb99a4623, 0x83dcfa93, 0x0b77d4e6, 0xa17403fa, 0xc8520db3, 0x4c0cd196, 0x87d3c48c,
+    0x10fda772, 0x41bf5e4f, 0xf11aced7, 0x44069199, 0x19627533, 0x5926897c, 0x719eb36f, 0x877fdab2,
+    0xcdcfcf57, 0x69ac89e8, 0x2d09bddd, 0x35361722, 0x9b9b8b47, 0x26c695e0, 0xcd2eeeb6, 0x15c1aa67,
+    0x8b188387, 0xfaad2543, 0x9e86b3b4, 0x2f9d3ca1, 0x007c8198, 0xf1c23b27, 0x67b49227, 0x046437db,
+    0xe686b4b4, 0xf43cc3fc, 0xb036f433, 0xd350b490, 0x9a4ab232, 0xadf8f22a, 0xcb507af1, 0x934941a7,
+    0x18006e49, 0xc7206102, 0x6ade53d8, 0xac0d056a, 0x10eb8746, 0x2954f43c, 0xdd653a75, 0x8dc876ba,
+    0x982e82bc, 0x989e6874, 0x47afa53a, 0x539186a7, 0x8fe44552, 0x971887c5, 0xf80be1e6, 0xb3a6a885,
+    0x89fe1aff, 0x35f4866a, 0xe6689fc5, 0x047605f5, 0x467ce158, 0xe0d52ebf, 0x8d3cd817, 0xe9d0bfea,
+    0xa43ba40f, 0x663d0d80, 0x4391c311, 0x24076565, 0x4c34c1e7, 0x9631ce24, 0xd4fae14e, 0x5d2f312a,
+    0xb51f5b9c, 0x3d14f82c, 0x6cacc7b6, 0xd4b0a510, 0xe106512b, 0x73374738, 0x6ddf7021, 0x29483996,
+    0xbca07453, 0x729832da, 0xc3fa7757, 0x0c15a5d4, 0xfae2db5a, 0x7f99bb5b, 0x2dc9569d, 0xb11c451c,
+    0x79b0c936, 0xdd2f3d63, 0xef92d845, 0x1621058a, 0x16e07cff, 0xd9549f5b, 0x0a8f58ed, 0xc2712407,
+    0xa50277dd, 0x6f062d18, 0xb2985df2, 0x5970cdbb, 0x4db2c00f, 0x8c90d93d, 0x88289ab1, 0x705ee7e8,
+    0xf99c66b3, 0xf85fd3e8, 0x2c4d0ab1, 0x0e3720fc, 0x80558bdd, 0x8d266720, 0x941ac9bb, 0x759baafc,
+    0x82fe98b9, 0x70d90876, 0x25faebac, 0x8af5c8bf, 0xac1a7b7c, 0x62a7cafb, 0x9378bcb2, 0xb779546b,
+    0xde8d094d, 0xd3c060a1, 0x99d0cffd, 0x6c03ca40, 0x567f4db4, 0xc4c84482, 0x64d1a1e0, 0xcb5fbc69,
+    0x17e0dbea, 0x395ed79e, 0x02334490, 0x1950c82a, 0x5fdc1a1c, 0x37c5225c, 0xeb0dc6c8, 0xbb1ebf96,
+    0x80d128a5, 0xd88e5661, 0x8a75a657, 0x005e0b56, 0x06cd7bf5, 0xa2cb1981, 0xfd5d0109, 0xecc49233,
+    0xdddf6e3f, 0x09352e9a, 0xa0ba33ab, 0x14ab35de, 0x685f3a83, 0xdb7e80f4, 0x6c446e06, 0x5fa8fe92,
+    0xaa4a2984, 0x7a8a3674, 0x52c3309d, 0x6368e3f6, 0x485d24ed, 0x5855f94c, 0xe80fbbf6, 0x19a42422,
+    0x7af9db6c, 0x276e090c, 0xb968665d, 0xdf580988, 0x7526127e, 0xeaa7f3d5, 0xbdc0ec14, 0xa8440964,
+    0xeb355269, 0xcda52b8e, 0x045e327c, 0xebc9665f, 0x42d90da9, 0xe65fabf1, 0x05338df5, 0x6549eabd,
+    0xb09a722e, 0xbe609b64, 0x4caaa45e, 0xf05a91f4, 0xdb79dadb, 0x5283a141, 0xa3d0804e, 0x8a6d1498,
+    0xad77a434, 0x87816834, 0x51f19455, 0xf508d9fa, 0x3ba636b7, 0x46572a83, 0x730d963b, 0x2363c465,
+    0x04cd2503, 0x78e6df16, 0xe834dccc, 0x11bf9ac8, 0xef977b84, 0xdc1872fb, 0x6b6ec1f0, 0x2036bc80,
+    0x2a910e5b, 0x150c7195, 0x98e8e826, 0xe4a583bf, 0x65db1145, 0x4d70ac0e, 0xcc400904, 0x7ce65933,
+    0xfcf8a80a, 0xd00f9eb5, 0xed6cc263, 0x0700341b, 0xf0d49118, 0x726c8c7b, 0xefa659fa, 0x7e8ba3e1,
+    0x55bdbf33, 0xf28a98b7, 0xd07ecc3e, 0x32d97008, 0xdd5e2934, 0xbb5a4fbc, 0x71fe8f4e, 0x8e6723b5,
+    0xd14e39e2, 0x26a66aaa, 0x153e649c, 0x1caf9d91, 0x3c89d249, 0x3bfed1af, 0x215e5b2c, 0xa5e88413,
+    0x3fec8a2b, 0x2cb0a41a, 0x863a0d06, 0xce99d101, 0xef614324, 0xcb39fdf0, 0xadfdf86d, 0xb635e117,
+    0x00000000,
+    0xac27f31e, 0xcc03a74c, 0xfea68d6a, 0x7af2846d, 0x2714bd0a, 0x7076d055, 0x588ab831, 0xbe66bc08,
+    0xdf461e98, 0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0x0ad961ed,
+    0x00000000 }, /* 10**-08379879956214123187233765623878653829674603637870245861077225902326102518795\
+                          96686050117143635431464230626991136655378178359617675746660621652103062880256 */
+  { 0x00000000,
+    0x2a72d386, 0xb8bf6370, 0x05ff2f34, 0xcac2ac26, 0x4c1b9316, 0x88c59772, 0x14e0b19c, 0x4637420a,
+    0xbc9fde1d, 0x8e24c25a, 0xa5393e5c, 0x4c265344, 0xf85c710e, 0x68296b66, 0x2db2d93a, 0xb4799753,
+    0x8ea39796, 0x9f322a06, 0x73288a58, 0x00fc3a09, 0x807821aa, 0x6c831684, 0xf567bc37, 0xa51f7cb3,
+    0x13543edb, 0x0bc0c220, 0x00dc42aa, 0xf18c2c37, 0xe58851d1, 0xee157af5, 0x854659f6, 0x41437434,
+    0xec6839b3, 0x464cbabf, 0x827354e1, 0x06fe3b65, 0xfdfacf9a, 0x5bf00f42, 0xf403ec2c, 0x0ce24e18,
+    0x89c38fd6, 0x6302bed1, 0x9c463800, 0xeb93ecdc, 0xd1727e9c, 0x8644f4eb, 0xf0eb690d, 0xffa1d203,
+    0xff7cb1f6, 0xae13a131, 0x41d2bc60, 0x1825c81c, 0xd9f3d27c, 0x25530335, 0xdca054e7, 0x0aafc597,
+    0x85314f77, 0xbaa405d1, 0x1fc7d290, 0x598e9d12, 0x798abe3b, 0x561f1ca2, 0x129e7a8f, 0x53565d38,
+    0x3b458303, 0xcd66a272, 0x101ad8ca, 0x4ef4f8f2, 0xb8965883, 0x22c929ce, 0x531ecd54, 0xfee7fc52,
+    0xde58fa12, 0xb2ca73ec, 0x83cf66ee, 0x7aeb1427, 0x3c0aa9e2, 0x29c54a56, 0x82a0e7b9, 0x83e8461a,
+    0xdb46de78, 0xe484da8a, 0x001445ec, 0xeba64f96, 0xdf2a50f7, 0x58274ebb, 0x94fbb3de, 0xd8bfe796,
+    0xf7318e4a, 0x695566c4, 0x3f37d74f, 0xde83d04f, 0xa22aa299, 0x80f6c99c, 0x9d560f4d, 0x3e652c81,
+    0x05c83f69, 0x5abf78ab, 0xc03b8624, 0xb793a7fd, 0x57bd2b14, 0x6ff17f9e, 0x1d78d1f0, 0xca48b225,
+    0xf429032d, 0x75930682, 0x5c6faf27, 0x98c7cbf6, 0xd1f24faa, 0x55327c1c, 0x1782de63, 0x1b172585,
+    0xc52b1c2f, 0xf0d04ede, 0xaa3612d9, 0xd2873fb4, 0xc8ca6b61, 0x0588e6e1, 0xa0e0fba0, 0x2e8634c5,
+    0xc2bc1637, 0x58fdcf2e, 0x651b9a7a, 0x08328882, 0x1f5acbe9, 0x0323cbae, 0xa216a4d5, 0xca35dbd9,
+    0x3fd0caab, 0xb9d76953, 0x92e41fca, 0x1e4252d0, 0xc377f111, 0x80e01808, 0x782898e2, 0x5a76477f,
+    0x2593e70e, 0xf2f2437f, 0x8bbc5543, 0xabd7e0b7, 0x47f5fdd5, 0x09150e51, 0x1f28e36e, 0xcad165eb,
+    0x410a437b, 0x370cb20f, 0xca0afa16, 0xc00ac284, 0x8b6d1f73, 0x2cbdcef8, 0xc4f74e6d, 0x3be3f0b5,
+    0x181bf285, 0xea14cc98, 0xc108bd42, 0x26179047, 0x5f4acb92, 0x31129620, 0x31b67cc5, 0x9bfbd53e,
+    0xd1a1b538, 0xe05e3e3a, 0xf88031ca, 0x40b9d24d, 0x8e793c99, 0xfada0e4c, 0xeeb4b3b5, 0x95052ac4,
+    0x3d1fcaf8, 0xcf259918, 0xb687676f, 0xfdada48f, 0xa165ae08, 0xc73e85b3, 0x37f82224, 0xedb51176,
+    0x62943f4d, 0xf425719a, 0xd8858aed, 0x067b4944, 0xeb4d535c, 0xd827bfbb, 0x5d2ab423, 0xdc3b0b42,
+    0x7ece408b, 0x46d4b982, 0x64fb62c6, 0xfdd2ae8e, 0x71859257, 0xe7e71bc7, 0x57c7237b, 0x5a65e0dc,
+    0x0bc8efb1, 0x574b77cf, 0xe8668c18, 0x169269e3, 0x2cde48fc, 0xd9bed40c, 0x04401ee8, 0x2b9bfb13,
+    0x16a8dd61, 0xf0d454fa, 0x60a628ef, 0x6061433d, 0x0d371ec6, 0x6b7deb32, 0x001cca2d, 0xc6f53b9f,
+    0x784c4024, 0x8c621bab, 0x9ab03a99, 0x16a0f475, 0x03722f81, 0xfe3de128, 0x741659b9, 0x796e75f7,
+    0x4708d054, 0xcb725254, 0x8c395ef9, 0x4e3c547b, 0x5b197fda, 0xce8c5280, 0xd68f80b5, 0x2e842e47,
+    0xcadc5f54, 0xaf95e744, 0xf01b2e39, 0x97a4f676, 0xd1cca896, 0xee5e5e37, 0xa280ddb2, 0x843f1ef0,
+    0x10815f63, 0xb2e7d3e8, 0x3ac85d01, 0x281623fc, 0xacc9fa55, 0x3ab33a63, 0x94b4c8e5, 0xde97ece4,
+    0x4f3726f9, 0x8a4e23e2, 0x06bfffb4, 0x25024d94, 0xc9476622, 0xc5f27c87, 0xb9ac0a09, 0xa796fa00,
+    0x4ca087b9, 0xbabe4f17, 0x3ab435be, 0xb0c83df2, 0x155f6c84, 0xdacbfd6e, 0x93eed399, 0x1c2e7886,
+    0x6aaa2eb8, 0x614ff119, 0xc31a3d51, 0x000587dc, 0xa17c9fab, 0x7008a8c4, 0x3d03e97e, 0x4366d6a4,
+    0xe6a770aa, 0xeeb813d7, 0x4e452db3, 0x7eeab244, 0x33b1bb9f, 0xc90d4691, 0x8b6153cd, 0xc77b9575,
+    0x4d4705fc, 0xd992e11c, 0xd684aab4, 0xd52689c2, 0x0009e703, 0xf138a268, 0x99986b23, 0xcf3c58f3,
+    0xda64b11f, 0x431c606d, 0x182814b1, 0xcd27e611, 0x55e1bebe, 0xf29db71c, 0x14b432fe, 0xed265fbe,
+    0x4416cf55, 0x59fac4c3, 0x6c291a98, 0xfcbb96bf, 0xb720c1c1, 0xab068d2e, 0x0f80257b, 0xdbcda78f,
+    0x96a59a84, 0xd2dfd2fe, 0xca77bd71, 0x811cf1c3, 0x54b8b73d, 0x54c6194b, 0xc79ddbcc, 0x08051d7c,
+    0xbcb7b840, 0x2142abe0, 0xe041d8e2, 0xb57e4a4c, 0x78788c7c, 0xc431062a, 0x930e2f9b, 0xdcef5b98,
+    0x8a1578a6, 0xcf46a61e, 0x005df956, 0x270f1e9f, 0x400fa06d, 0x61edfc53, 0x803ebf73, 0x3b78bb69,
+    0x76f77601, 0x047383d6, 0x704e6c99, 0x734f2c59, 0x8c366a8b, 0x57428ef2, 0x7ef8be5a, 0x5885cbd0,
+    0x8c20089f, 0x854dc31e, 0xc4b28a28, 0x3b6cdff2, 0xf4887897, 0xdb34e66a, 0xe5469bce, 0x1e000072,
+    0xbfb83b45, 0x4167fcb5, 0x97179dd6, 0x880b6e50, 0x20a786ca, 0xcbdba3c8, 0x75ab8621, 0xcfcdfa2a,
+    0x626152a3, 0xfbdacdd1, 0xa320dd17, 0x6dcacf49, 0xa7d29ab3, 0x003a2fdd, 0xb1b54715, 0xcc53f932,
+    0x714f86c0, 0x3edee4dc, 0x30ceeecb, 0xc51aa2db, 0x44995a92, 0xf69b9236, 0x712732d5, 0xed5fb916,
+    0x49696064, 0x3aa49f1c, 0xadc5c07e, 0xfd055228, 0x9ec13852, 0x9cd85809, 0x93cfb8ff, 0x97f6f948,
+    0xb523344c, 0x5da6b46e, 0xaa4384ae, 0x7f124325, 0x3a5e796d, 0xe22de374, 0x4b95b46a, 0x3e6bf865,
+    0xe106899a, 0x5d3e0ff5, 0xc24c1b8c, 0x8c3207f9, 0x0fdf9b3a, 0x868b0fa1, 0x6cecf7c8, 0x1cb0361a,
+    0x78ce7e74, 0x39ac1fd0, 0xd20fbaba, 0xcc1bbf6f, 0x7bbb6d0c, 0xba5fb8da, 0x727585fa, 0xea5e813b,
+    0x7b21b385, 0xc0439dd7, 0x1ee9003a, 0xd60e8459, 0x078c94c9, 0x8ba619ce, 0x457aba4d, 0xd7617bea,
+    0xc829fe46, 0xd555ad63, 0xad77e107, 0x544d1fcf, 0x8b18cb9b, 0xcf3ef640, 0x8ff30802, 0x3442037c,
+    0xab34f2e8, 0xd8c41717, 0x52b50d7a, 0xb260096d, 0x16511ea1, 0xfc9e1579, 0x9411fc94, 0xc66ed3b8,
+    0x4084de8d, 0x330f9483, 0x38fe20b7, 0x48464fee, 0x6828f635, 0x658dc026, 0xf8bc3ebe, 0x7b28b80d,
+    0x2be081fd, 0x2730f7c5, 0x22fe004f, 0x01fa71c2, 0x5995de0a, 0x4a1a51fb, 0xde9a7b1f, 0x327cd2e8,
+    0x0b784eb9, 0xa7b364f6, 0xf6c19c30, 0xbd9d4295, 0xd9b1cbdb, 0x745f2c7b, 0x3a0d91e2, 0x22bc4a10,
+    0x5a2aa7d8, 0xb540a715, 0x3a728be2, 0xa6421626, 0x35cf3137, 0x83ab7c5a, 0xbdf04072, 0xe28b85d3,
+    0x52a40cfd, 0xe3e3a8e6, 0x071c0ac2, 0x4222c964, 0xcdec1224, 0x02c42ba8, 0x5196a92c, 0x8e5f6f4a,
+    0x7a6c98cc, 0x297e8b52, 0x4a62c1a6, 0x67d85c4b, 0x8ba59415, 0x484dfcbf, 0x4dc5285e, 0x00bd94db,
+    0xda8d322e, 0xc3549d2c, 0xc8a8504b, 0x7a8f9ddc, 0x9b8e7515, 0x14e8bfd0, 0xc03ec054, 0xc106da5c,
+    0x27c1cc12, 0x03de62cd, 0xec168cb3, 0x81bd97f9, 0x77c6aeb3, 0xd777a2a6, 0x55bd5031, 0x30567a32,
+    0xf32b27fb, 0xf1679336, 0x5a03b738, 0x93f36fe7, 0x3b01f567, 0xebd022e3, 0x00006d0f, 0x7b20bed9,
+    0x9927d8fa, 0xfb3e6392, 0xd83892fe, 0x0170ee22, 0x02a1edcc, 0xe6501289, 0xba41aa1c, 0xc311cf6e,
+    0x4bce0ef4, 0xae539c61, 0xe8dd2c77, 0xf2478e54, 0x09cc4ce8, 0xc9ea4445, 0x62834d49, 0x468569d8,
+    0xb3b0a9e4, 0x942d761b, 0x9b90fccd, 0xc727d465, 0xd390ff3d, 0xb85af8ae, 0xa6033ef3, 0xddb09f74,
+    0x2591e20b, 0x1bc6a6fb, 0x13cb3039, 0xf8d1a774, 0xb8ceebb3, 0x55037abf, 0x65130656, 0xe01a75d9,
+    0x5efebf28, 0x7b03b757, 0x9c63e6fc, 0x0b08f6de, 0xd8090563, 0xa782e107, 0x126984ec, 0xd65ddfa2,
+    0xa6ee41d5, 0x3b957935, 0x5d944822, 0x0fae8aff, 0xf32b81b5, 0x05960141, 0x9e6dc0af, 0xc9c3db25,
+    0x14e54dcb, 0x290920df, 0x28d21246, 0xa49ec1cb, 0xe7e109bd, 0x3aeb12eb, 0x8e9b66a7, 0xb367ef4b,
+    0xee72ff9b, 0x70d853d2, 0x43321885, 0x842724cb, 0x1f5dace0, 0xfd18de90, 0x97bfaa68, 0xe2afdad8,
+    0x5a089a5e, 0xacc29980, 0xb1705adc, 0xaaca2c24, 0xa9c82772, 0xefd89a84, 0xccd4fed5, 0xcc0500bc,
+    0xb83a8aa8, 0x7815af8c, 0xac9bd91b, 0x329b7c1d, 0xb206a8c3, 0xdb79f0bc, 0xfeed3fc8, 0x51e99698,
+    0x5921ee31, 0x81b446e0, 0xa5564996, 0xd9986a36, 0xd026f9d3, 0x79a006e0, 0x1a50f797, 0x346dcfc7,
+    0x719c9ca9, 0x17d81138, 0x44976615, 0x2c894827, 0xa32e16ea, 0x9800fc0d, 0xd2b041c1, 0x1f2d85c6,
+    0x74cd77d5, 0xe4a21ce3, 0xd4c3483f, 0xf7119dbe, 0x7d86aca4, 0x17438c45, 0xde36a14b, 0x27752c6a,
+    0x7c7439da, 0xc4145351, 0x65a6402b, 0x00931ebc, 0x3994345c, 0xc4d96413, 0x177d124c, 0x04614aa1,
+    0x90121668, 0x258583ca, 0xb043b6b8, 0x7254d49a, 0x4a86be4d, 0x731e5c6a, 0x2797a077, 0x504fe26c,
+    0xe612735f, 0x0207f7c6, 0x3758d1bb, 0xe5a2b4e0, 0x81570894, 0x2b80794c, 0x06df1840, 0x79edf64c,
+    0xb9074431, 0xbe495382, 0x83007747, 0xa2dfd40e, 0x803c8d83, 0x7e53bb8b, 0xaa6d382c, 0x7c9d156f,
+    0x6f61a133, 0x2a03a4be, 0x1456df26, 0xc5368d80, 0xe544c2a9, 0x460de1c2, 0x8e31f5fb, 0xf49388eb,
+    0xece681e7, 0x094f302a, 0x83c38dbc, 0x505853a1, 0x8a8c5749, 0xd685d2e1, 0x06b26aa5, 0x60ec0182,
+    0xe160091d, 0x1ab8804e, 0x3747f589, 0xb00c66df, 0xe6f8be40, 0x624f82cd, 0x3695e732, 0x7c6880cb,
+    0x67decb45, 0xb62fabc3, 0x433abdc1, 0x4d5092b2, 0x6ced2ad5, 0xca2e4b89, 0x4824007e, 0x6b082dcc,
+    0x8e959888, 0xcd2e71eb, 0x60d19fb9, 0x8dff30b0, 0x99becbeb, 0xb5047b84, 0x1ae880d9, 0x2ab2b722,
+    0x38dd45eb, 0x1c4b6e1a, 0x233cb491, 0xc1baa17e, 0x9414a098, 0xb989284b, 0x2ba7b87a, 0xb983c041,
+    0xee02b640, 0x4b3723f2, 0xf80b177f, 0xceaf2005, 0x6d7bcefc, 0x6f8925f6, 0x7733bd53, 0x8faf621b,
+    0x4d2b1e65, 0xdda25c39, 0xc4d6d274, 0x7da76ccb, 0x39e66933, 0x177d1bb6, 0xe339503d, 0xce0caa71,
+    0xb43bb821, 0x16a4610a, 0x289b0395, 0xdb3539b3, 0x510cee6b, 0x9020ceb3, 0x91696f3c, 0xa8b27c16,
+    0xecb31776, 0x333a3698, 0x08879419, 0x5e059e1f, 0xd395ed55, 0xe638558b, 0x371b2895, 0xd9d7b19e,
+    0x4f288808, 0xba1e4cc7, 0x95e89add, 0xe5f1fecc, 0x8905328b, 0xb73a8a47, 0x72746cb1, 0x225906aa,
+    0x907d3bb3, 0xe794dba8, 0x884b27bd, 0x9799aa74, 0x474fbfa7, 0x484510ce, 0x2fab8fa1, 0xc334eee3,
+    0x9b3d937a, 0x0ae874ec, 0xba5472b4, 0x04cf05fc, 0x56a40523, 0x484d2532, 0x91d782ab, 0x4f86628c,
+    0xb649c326, 0xcdb0a73c, 0x42eca959, 0xc86e07c0, 0x56bb79b5, 0x66bec89f, 0x7ee35fd3, 0x35c60bb4,
+    0x88b78b2f, 0x268bac3d, 0x8cbb14ce, 0xc070dcb3, 0x863a2cef, 0x313b4f12, 0xbaa5cbdc, 0x312f06b8,
+    0x92a6260c, 0xd2303ea5, 0x7d3bf703, 0x17c164d5, 0x8ce0e11e, 0xe6f4310c, 0xde9daca9, 0x60c305ae,
+    0xac2d8d90, 0x05b55ee0, 0xff5b8268, 0x14187557, 0x7ea96915, 0x6932d511, 0xa967c542, 0x8444d743,
+    0xbe171762, 0x27938b82, 0xa99114d9, 0x6ba4e959, 0x7cfd6406, 0xc2915b65, 0x3aeb47de, 0x90262ea0,
+    0x69ba6619, 0xe2b973cf, 0x1835e1b5, 0x209c16d0, 0x757b6d6c, 0x7606be57, 0x590e195c, 0x743a52b6,
+    0x2d295c52, 0xda55d092, 0xfe0d0517, 0x9f48fe73, 0xde71d2fc, 0x74a90e02, 0x8981bea1, 0xaba76339,
+    0xd7b9952b, 0xc1a6f201, 0x40655560, 0x3c6bd8d5, 0xf87c5ec2, 0x04b29baa, 0x8cb74381, 0xd64a06a5,
+    0x3a059480, 0x66e4c437, 0x4d693e86, 0x9a26f6af, 0xeaa3a113, 0x42fb382c, 0xbe1cd924, 0xdbdd2aa9,
+    0xdcdbfc8c, 0x13c48d21, 0x381ec938, 0xa0ff7859, 0x339d4bd9, 0xde39c523, 0x786200e2, 0xf5e5beae,
+    0x0ff0ccb1, 0x15351e91, 0x117969e1, 0xc1c3c742, 0x1651d3e6, 0x89075429, 0x93ae51aa, 0x6582695f,
+    0xc87e1f24, 0xff395044, 0x4495f424, 0x87b637ce, 0x9371bfff, 0x84c66a84, 0xe2b28b38, 0x067a1f5e,
+    0xc9dd4c97, 0xa100b451, 0xc1b60f42, 0x7ca8322c, 0xa26a6244, 0x218aa4bd, 0xe2070c80, 0x929557ea,
+    0x4296d223, 0xb548fd72, 0x903c88a7, 0x7e73a830, 0x3efc1f8a, 0x8e606c97, 0x514254c5, 0x153a6532,
+    0xce1a281b, 0x4ea5b82a, 0x48cc62ba, 0x1d650421, 0xde49b625, 0x1ded52af, 0xd63dad03, 0x39ed2fa4,
+    0xce838a16, 0x2e17dbf1, 0x5c4e5652, 0x3bc1ab90, 0x09f47b2c, 0x7b2243f9, 0x5e542045, 0x9bbcb857,
+    0x8584c4c1, 0x58b8b4c4, 0xecfd188e, 0xb31ab8a3, 0xe6c64bc3, 0xb934842b, 0xfa895bef, 0x8b49cbb9,
+    0x6a8fb163, 0x0e349e2d, 0x0ebbee02, 0xaeeb0d3b, 0xc998ef0b, 0x34466a8e, 0x5bc767e1, 0x78dc559f,
+    0x80758e04, 0xf2b5421d, 0x109480b8, 0xd718632d, 0x00c29244, 0x6aa6fda2, 0x9ec4dab4, 0x2a6bd0ef,
+    0x13c356aa, 0x29c6a039, 0x20d382a1, 0x991b280d, 0xf301372d, 0xdef16a99, 0xf90b9cc0, 0xd5685879,
+    0xe0af43f0, 0x47b1590e, 0xbcc98355, 0xaf7c33cd, 0x93b4f45c, 0x226a4790, 0xc6e81884, 0x232d9db7,
+    0xd3977662, 0x7771eff8, 0x3f61a2e1, 0xae85e628, 0xdaf87649, 0xb7b1d601, 0xed631586, 0xc89700b8,
+    0x739098d6, 0x605b65aa, 0x4cbff937, 0x41ae113a, 0xdd013c01, 0x61e1b614, 0x5fce295d, 0xd6b619f4,
+    0xd7548580, 0xc38d16ea, 0xf9cebfe6, 0x9487d619, 0xda1dc4de, 0x0030c465, 0x96fa3e89, 0x223acc0f,
+    0xdbe5f4f5, 0x7b4b61cc, 0xc4c32263, 0xa82fd012, 0x103b85ec, 0x6db8da99, 0x223e6d4b, 0x93533d9c,
+    0x24612092, 0x77283900, 0xfb78349d, 0x1540c635, 0xb830a805, 0xe4642c5a, 0x2c2d70d5, 0x49dcab56,
+    0x8a7aed1b, 0xf4fca5af, 0xbed776b3, 0xf5d9ac8c, 0x9857c353, 0x1607cf58, 0xed2742fb, 0x7ddfaab0,
+    0x3111e408, 0x11ca64d6, 0xc4d1b465, 0x89a110c6, 0xaaaa387b, 0xbdcc5c88, 0xb6e54b55, 0x288809d9,
+    0x3375a2e0, 0xe44afd8b, 0x7df148c5, 0xe9ab3a94, 0x0c58d761, 0x5b5d88dc, 0xeb042566, 0xc0081916,
+    0x975ddd90, 0x972c1103, 0xfcf387a5, 0x5a56c078, 0xe3647ba0, 0x7ec69d53, 0x71cea764, 0xfa37a512,
+    0x9e86ccd8, 0x7c49f5d9, 0xb1216d7a, 0xe78e7053, 0xd91d7d8f, 0xc77dbe33, 0x597a9551, 0x1bf0f361,
+    0x874e7f18, 0x8f03c06f, 0x6f2ed5a1, 0x6a7354da, 0xf8f0db6c, 0xd74fe9c9, 0xef4bceb7, 0xd273d0b9,
+    0x9cd6b5a1, 0x63fcbcaf, 0xa75894c6, 0x00a331f4, 0x46d019de, 0x118be5ac, 0x36c449d5, 0xc4280978,
+    0x7bb180f0, 0xa546c675, 0x604be7de, 0xde45fa27, 0x03c0ea6f, 0x561f59aa, 0xf0577a68, 0xeb4e6e40,
+    0x7d7521d7, 0x87f76216, 0xba5a97d5, 0x03a253a6, 0x4fa18bfc, 0xd34a646e, 0x6b1e0753, 0xd7fa0090,
+    0x00000000,
+    0x5613f98e, 0x6601d3a6, 0xff5346b5, 0x3d794236, 0x938a5e85, 0xb83b682a, 0x2c455c18, 0x5f335e04,
+    0xefa30f4c, 0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0x256cb0f6,
+    0x00000000 }, /* 10**-04189939978107061593616882811939326914837301818935122930538612951163051259397\
+                          98343025058571817715732115313495568327689089179808837873330310826051531440128 */
+  { 0x00000000,
+    0x9fc3218e, 0x821b4b1e, 0xbd4f7770, 0x2196bdd6, 0x4d3404e1, 0x8a8d3846, 0x7f5f37e0, 0xfee4f85d,
+    0x0ce31093, 0x6cac0ca6, 0x4f6b619d, 0xb836d55d, 0x9e33cf0a, 0x5fe3cf4b, 0x33134d88, 0x08dcb769,
+    0x60407df5, 0xf2f142ce, 0xad376ee3, 0xf7b7e749, 0x486093f7, 0xd96d87b5, 0x115828e2, 0x1db36ded,
+    0x3d8068e0, 0x03ac4f7a, 0x943c80f1, 0x264dc2a8, 0xb01df035, 0xff861706, 0x3e2e46e3, 0x9c53e18d,
+    0x688babd3, 0x7519e98d, 0x8950506c, 0x1705b5f4, 0x80aa4ba4, 0xc21e31f8, 0x994a0d00, 0xd195e6f8,
+    0xe45a2a4b, 0x2aff5064, 0xa4192332, 0xb5f0cd61, 0xbc00e952, 0xc168243c, 0xbbf70349, 0x13997285,
+    0x21d7b3c9, 0x8dd9a912, 0x1bd03f33, 0xc4a3e123, 0x289773b2, 0xc5bb595e, 0xc0ba0726, 0x6b16b161,
+    0x23f92a7b, 0xaa7e90ab, 0x075c5912, 0x58269c72, 0xad2b1995, 0xf8787beb, 0xad70b475, 0xda58670f,
+    0xbc22e347, 0x8f7e233b, 0x8ba8f4fb, 0x91f9e610, 0x66790ecd, 0x3bcda76b, 0x7501271c, 0x248cfdee,
+    0xc2a91333, 0x42470989, 0x287461ca, 0x4598c5cd, 0x0d5d2cd1, 0x281a4753, 0xc163da9f, 0x0843851d,
+    0x411bc196, 0xec52e1c7, 0x1dffe837, 0xb4901f3c, 0x69723078, 0x7f2d4682, 0x758b59e7, 0x667f9730,
+    0xd933d9e3, 0x1231aad4, 0xa3871aaf, 0xb17741b1, 0x9ae50fe9, 0xf1662ea9, 0x80ae8884, 0x3e14de0e,
+    0x4aada2ba, 0x1667d529, 0x0daae4a8, 0xb5071408, 0xc13ad64a, 0x0e35fdb8, 0x0d28ce28, 0x72669c6b,
+    0xf0c11c07, 0x3cefe57d, 0xa93f561a, 0x604998ac, 0x114ae377, 0x94975888, 0x383bbe7b, 0x81f01b95,
+    0x53e00f6c, 0x8c9e8355, 0x78ae2ca5, 0xba241ce3, 0x44388bbb, 0x14744bcc, 0xa0c61d02, 0xa94aba8e,
+    0x4a37cddb, 0x05dad29a, 0x396943d2, 0x4420c42d, 0x10a05731, 0x7d90e2fc, 0xfe59d64f, 0xce4373bc,
+    0x343aeaec, 0xaabce924, 0x3b6ac6ce, 0xb2c773e3, 0xda0aad7a, 0x60af8c6b, 0x226124cd, 0xfcc5cf5f,
+    0xa9839b16, 0x2b7b2010, 0x5b4a8290, 0xe62195c8, 0x0ab8d6b3, 0x90ede384, 0x8ffc1b86, 0x09ec83e3,
+    0x76e9094b, 0x1181ca5b, 0x4a301d6f, 0x65190b03, 0x0008c0fd, 0x48ae11ed, 0x8e2875b6, 0xcac24ea3,
+    0x6f760aee, 0xda4fd4ba, 0xce001185, 0x9bc8f9dc, 0x540966eb, 0xa2f453d5, 0x31b06953, 0xc8da6d5a,
+    0x3ed1a2bd, 0x62571bdb, 0xbe92611e, 0xe883d690, 0xdde56931, 0xd3b23df3, 0x9ea6f6de, 0xcc82d6b6,
+    0xbbf56f3f, 0x550d327b, 0xf78a3c80, 0x11095789, 0x80d875ac, 0xb759efd7, 0xe9d9c3a0, 0x730fbcd3,
+    0x3feee032, 0x951aaee6, 0x4dfbe565, 0xfa85a336, 0x55e7d621, 0x9ae89654, 0x4a2bb0ff, 0x145c5803,
+    0x8a3bbff2, 0x40856399, 0xe749454d, 0x27f6dfc5, 0xbaa0cb6a, 0x4fb387ab, 0x336ba709, 0x817431f6,
+    0x6625962a, 0x168182dc, 0x6b19b2d5, 0xe39ae6f8, 0xdec5de05, 0x4f13a16a, 0x550a8556, 0x0adadebf,
+    0x0c912142, 0xa6fc32bf, 0xa2b035fd, 0xa2e7e182, 0xc4120c88, 0x4ac8d6c8, 0x916e716e, 0x5ab60497,
+    0x7c50afc7, 0xd96d4d4f, 0x7ef8cca2, 0x4125ed3d, 0xc5b7655b, 0x87f83c8e, 0x5035d1ef, 0x62f37faf,
+    0x1bd71bbe, 0x70668fb1, 0xe88c1957, 0xf4a5df52, 0x7959bac7, 0x2b0a35e6, 0x40dc8c99, 0xc8050302,
+    0x4529d0bd, 0x5ff4ae3b, 0xda58e8e0, 0x362a2de0, 0x3e937360, 0xb002dfd3, 0xfae53e34, 0x8ebd5765,
+    0xfc4ba5fd, 0xfffafe00, 0x40fff7ad, 0xb2d87fe0, 0x8702a4ee, 0x85ab64e7, 0xa201380a, 0x40eadbe3,
+    0xf183db92, 0x447e2357, 0xdffa3329, 0x680ccfc0, 0x5e16b153, 0x31e92c4f, 0xfbcd8249, 0xc7b689de,
+    0x6372ae7e, 0x792109a7, 0x74c17459, 0x1b322b3f, 0x0b343d8a, 0x61e4c356, 0xefd422a7, 0xb5444caf,
+    0x271339b2, 0x70836cd8, 0xcd36c9e6, 0x358818e8, 0xaafa366a, 0x63ae18aa, 0x5f1e2457, 0xba6fdd3a,
+    0xe174758f, 0x3677197f, 0xa5cdc3f8, 0x80a68911, 0x7a4f9e85, 0x7f3d6ec6, 0x5e5333af, 0x1bc94618,
+    0x27fb7eb4, 0x0beafbb6, 0x04bd8219, 0xb90639e4, 0x53ad7775, 0xa8631850, 0xf6df434e, 0xdcf5d88f,
+    0x60491506, 0xf6126d6f, 0x0086814f, 0x92f4f56f, 0x06b3a10c, 0x0b2fa839, 0xe8922376, 0xe553219f,
+    0xb4e356e2, 0x55c8a6b1, 0xcddbc180, 0x83fa4425, 0x721778b2, 0x0986ffa5, 0x9490ad69, 0x3b87f31e,
+    0x929ece81, 0x3bf952fd, 0xd4c0b253, 0xa1c6a4af, 0xb4f8516e, 0xe7cb474a, 0x5f054af3, 0x1edb2e00,
+    0xd9d0a1b5, 0xc361c8c2, 0x1875a321, 0xf5c2ac42, 0x17697557, 0x9ac42c14, 0x762153f5, 0x6fca7bb8,
+    0xa0f514f8, 0x39a632c0, 0xecc560f6, 0x25b1ff0b, 0x91a287ad, 0x1d77ef1c, 0xdad05b48, 0xae5bf199,
+    0x3b385626, 0xbe1c76eb, 0x979b38a1, 0x404e5794, 0x1509c5ba, 0xfba2a0b6, 0x2543d309, 0xbe7d2eb2,
+    0x8d6962fc, 0x55eea268, 0xeb4d4c3d, 0x4ba327c5, 0x5f8e8769, 0x0917ae7b, 0x1f757439, 0x193c46aa,
+    0xe14009d8, 0x2ae32f7f, 0x906163c2, 0x011e706e, 0x06235d2f, 0x3f49e7bf, 0x070d40c6, 0xa2f314a0,
+    0x33cbad3c, 0x57884b6d, 0xac741b2e, 0x50d47c2a, 0x93613131, 0xecb4f366, 0xd187a0e3, 0x6c9414f9,
+    0xc3ebd94d, 0xba039cb9, 0x44f70545, 0x0e1a04ec, 0xbbdd501d, 0x1210f60b, 0x6e541431, 0x74c50863,
+    0x65b62291, 0xab5e3387, 0x48f2fa06, 0xa2d8c534, 0xb0d06ab6, 0xa0ceba40, 0x8c334a68, 0xe1d51902,
+    0xa8a31895, 0x60bdfb6c, 0xb3a0e3b3, 0x9d1f1370, 0xa8800472, 0xe7797cfe, 0x68d66255, 0xfbb0d52d,
+    0xdf5185a9, 0x6e9d9cf2, 0x97e850f8, 0x81d034a6, 0xd6ba9fee, 0xe8688106, 0x95d74b3a, 0x9a55f380,
+    0x42fb086d, 0x969027e3, 0x064040ca, 0x6c5ab31c, 0xc1b1cd3b, 0x30faa5c7, 0x75da89c5, 0x74735604,
+    0x3308c7d4, 0x144ce665, 0xce796e42, 0x3a8ccff8, 0x4cd357f3, 0x47f94cc6, 0x58cbbdf1, 0xab3ed299,
+    0xfdb02048, 0xb37b8c05, 0x38f64975, 0x2b7ec587, 0x1bbe8403, 0xe1006fca, 0x1e5f631b, 0x97bc3f38,
+    0xb3e27875, 0x8b628655, 0xb1dd8d17, 0x9ceabdd8, 0x7123c45d, 0xd366138d, 0xe4677f8a, 0xe1ee7abc,
+    0xfcebc5d3, 0x54384a28, 0xa642ce93, 0x89a75797, 0x3fee2bba, 0x511222f1, 0x89401270, 0x2a371e67,
+    0x3c72a269, 0x4c4ad7c1, 0x12791a30, 0x5aaa67fd, 0x6d36cf40, 0x5aa3d220, 0x8dcb0fd5, 0xa949ddb8,
+    0xc2ac4ec2, 0x215e7125, 0xb0e1051a, 0x49c33d1a, 0x63383066, 0x7487f300, 0x38995a79, 0x174e8c96,
+    0x9f5bef68, 0x236775df, 0x6175210b, 0xa2b1bdfe, 0x18f2f06b, 0xc186b28d, 0xeb16e7db, 0x66168810,
+    0xd5f22f5c, 0x9af179a9, 0x5a60e58f, 0xd7ea13f2, 0x83c1e310, 0x187be88c, 0x96259470, 0xc61f7fdc,
+    0x2062cf98, 0x497a530f, 0xfe9ffa60, 0x6bc943cb, 0x3c03054e, 0x281fea24, 0xc84a9faf, 0xc5851a2e,
+    0xcbb08280, 0x4cddcc37, 0xc5289785, 0xff5cf0f1, 0xfdd31fa5, 0x1a09eaac, 0x951223ed, 0x7b950a6d,
+    0x00f512eb, 0xa8280831, 0x790926da, 0x21c57bd3, 0xf12018ce, 0xae8fbb55, 0x9ec6b38e, 0x72d046ac,
+    0xaacaf591, 0xab16ceb3, 0x1f653ad0, 0xaddc7176, 0x31d56b64, 0x274d2e15, 0x9f25701a, 0x3c3af300,
+    0xba81285f, 0xcad9582d, 0xed98204a, 0xd3112090, 0x44aebf6a, 0x81d37946, 0xad0afed6, 0x53527c5f,
+    0xae8b9681, 0x2365ab07, 0x616c47d5, 0x8b31868a, 0x736c1021, 0xb7e76428, 0x553ccd98, 0xd70f5fb1,
+    0x34117ae0, 0x9db9b211, 0x3d602410, 0x7a56f5f7, 0x3152808b, 0x262523da, 0xf76137ac, 0x82591e59,
+    0xc118ca67, 0xf2eae1f9, 0x630ee2b2, 0x6523e3b7, 0x5e7dce35, 0xc54e0448, 0xaab5f871, 0x347dc18c,
+    0x532df188, 0x69ba616f, 0x058acd4b, 0xbbc84b3d, 0xd101b32d, 0x518bb4b4, 0x62b37cad, 0x48f32994,
+    0x5d98080e, 0x88780819, 0x83684f57, 0x3b8280fc, 0x13396d13, 0x5baa5664, 0xb98a12c7, 0x6b9f7eeb,
+    0xb2e7c2ad, 0xe9f883f3, 0x5a0a25fe, 0x23a6f499, 0xd42302e6, 0x086092db, 0x02f06f37, 0x4a3cadd8,
+    0x3f2dc424, 0xc02e522e, 0x42414057, 0x0aaedbae, 0xa2a3ba98, 0x76e54262, 0xab055e21, 0x854d8d09,
+    0xa0000b0e, 0x836ba0db, 0xae6e677b, 0x691dfb1a, 0x51f6559d, 0x9ed1310f, 0xb773a1d0, 0x42dcb9ea,
+    0x9053e37e, 0x6f5591d2, 0xf0b3b0ab, 0x5147a99e, 0xc85ec3aa, 0x9e92b365, 0xd8245a8d, 0x9184dc09,
+    0xab25113c, 0xfb87f543, 0xa954932f, 0x51dd4e2c, 0x870bf97e, 0x8de5b768, 0x554905a5, 0xa77d7405,
+    0x7b9f2539, 0x1c1a6a79, 0x7231ad88, 0x50d8e866, 0x1ff29e5b, 0x02b6defc, 0x3973d33f, 0xb2ceffdc,
+    0x3ed96773, 0xfd5579e6, 0x223fe912, 0x52a2e253, 0xeed5f3f4, 0xb50f85e5, 0x99dd250d, 0xb8f0a49b,
+    0xc6c79c22, 0x2487c9c6, 0x233b4811, 0x3586e07c, 0xc24ac4a9, 0x06634f58, 0xbe5cf2a2, 0x7bee2e14,
+    0x6a89ae5d, 0x0c731dfd, 0x92aaf6fa, 0x46f11813, 0xe727bcd2, 0x19d7318d, 0xb6724bfc, 0x714298d8,
+    0x042fbc3c, 0xd492d2c7, 0xfda12158, 0xa025cd08, 0x7fff6ecb, 0x4873d9a8, 0x3ca50cc2, 0x33ad2ec3,
+    0x29370900, 0xab324b5c, 0x5f43a2b4, 0xbc61c585, 0xede59e21, 0x318d08a1, 0xa300dc9f, 0xf74c35ac,
+    0x1c0523c8, 0x0b72bf26, 0x03adc40c, 0xc4cb4bba, 0x39ca254a, 0x2abb2e07, 0x129583e9, 0xc67c0c40,
+    0xd4d42019, 0x8e3129b9, 0x4340936f, 0xe49a265c, 0xdf2cbe0b, 0x4a4f55a7, 0xd4442478, 0xc6f5a315,
+    0x18c34a2e, 0xfc2d8c55, 0xfdec97e7, 0xbd0cc436, 0x5ecc7738, 0x90e07142, 0x0de248db, 0xb65da218,
+    0x7d83ec88, 0x3c80d88d, 0x74927ed3, 0x1d481c89, 0xa2ffe5e6, 0x08e2883e, 0x25303d9e, 0x6a97e34e,
+    0xcb762e04, 0xfc9924b1, 0xc8cc71e5, 0x81e19ddb, 0x7c9b40ab, 0xa1b52b3c, 0x8066b040, 0x6677c0fc,
+    0x9efd4a1c, 0x008f6ed1, 0xdbef4b21, 0x0d6ff0e7, 0x1ec6ce37, 0xae28a812, 0x9507069f, 0x667ad06f,
+    0x8bda48ce, 0xfcee50c4, 0x7fbf32f2, 0xe58d2867, 0x30e1e9dd, 0x369e11cf, 0xcf7ba2ee, 0x0221c1f7,
+    0xd9d4946e, 0x2a407f4e, 0x86c98faa, 0x8e1dd34a, 0x00de7503, 0x2516733d, 0x9c4fb766, 0xba5fbe7d,
+    0x01488587, 0x81c6b0bd, 0xd892b026, 0xeb73d6c1, 0x88ec217f, 0x664b5543, 0x71862ea2, 0x5910e92b,
+    0x66287e58, 0x9fb76149, 0xe77f53d2, 0xe131b7ed, 0x9eedb32c, 0x67c8d527, 0x2940269a, 0x1cbb0039,
+    0x997f1f56, 0xb992fff1, 0x2d726b5f, 0x482ca772, 0x21be9bfc, 0xf5f7cd7c, 0x3f3d5f94, 0x157dfae3,
+    0xca6a0b66, 0x465dfc4f, 0xdda6bc9a, 0x8303052f, 0x7a910d57, 0xf3f83b90, 0x8aced30b, 0x03fda7e0,
+    0xe60c1de9, 0x76f79f1f, 0x3e81afde, 0xf401eda0, 0x0e20238c, 0x703c4566, 0x6b381414, 0xb1cc6d7a,
+    0x76035690, 0x50d0f637, 0x4b727a22, 0x48115887, 0x56625bef, 0xfedf992e, 0x5b93ab27, 0xf87355f1,
+    0x1eff34c5, 0xca0fbdd0, 0x84e10070, 0x77a30fbc, 0x35b795f9, 0x18c21fad, 0xcce5465a, 0x94b67eb9,
+    0xd4197cb2, 0x3c072a1f, 0x61379797, 0xc4224de0, 0xb05cdda9, 0xa3d555c2, 0x7bcadb62, 0x6837bd7a,
+    0x4a84e9e0, 0xb0a7cdc7, 0x9a4da932, 0x416b4386, 0x06636a8b, 0x8849f76a, 0x3fdd2131, 0xc69102d3,
+    0x16b15f4f, 0x9536d37b, 0x2c25379b, 0x40c104a5, 0x3d2a2b04, 0xbb2b1a5c, 0x6e1efe74, 0x4fe91b8e,
+    0xe124dc67, 0x03dedac3, 0x93d944fc, 0xf7151e83, 0x5e115281, 0xa9952ce4, 0xdfb22683, 0xd9bb36ff,
+    0xf0345dc9, 0xf771ef69, 0xfdb57cc4, 0xa65843c1, 0xb1f4529b, 0xa61f49af, 0x4738e357, 0x7b46c20f,
+    0x259a0b46, 0x9e4fb34b, 0x2ba65868, 0x4b9ffedb, 0x30950661, 0x69245c4f, 0x6158fd9c, 0xd21eefa0,
+    0x42640abb, 0x88f4b768, 0x581d49b9, 0x5c955a62, 0x7ec75287, 0xb5fabef6, 0x1608ecf3, 0xe75f26a8,
+    0xceac4eef, 0x2b2f3449, 0x91c31101, 0x49738389, 0xef2001f9, 0x780bf1eb, 0x7e62a112, 0xba1cc55b,
+    0xc394ecd5, 0x0d82fdd1, 0x1a0021e0, 0x30c08325, 0xcee330c6, 0xc65a7557, 0x43174e83, 0x4d745ece,
+    0xaa76e804, 0xd8999f6e, 0xdbaeba94, 0x04feaaf7, 0x402bc844, 0x8643a7a6, 0x2cddf5e0, 0x51782bd3,
+    0xad63bcf0, 0x1221f1ec, 0xc1ac2589, 0x1e186fa4, 0x74162d54, 0xc7711fb7, 0x0097eddb, 0x60e36e28,
+    0x981c3ed9, 0xbc94fd63, 0xdca45aaf, 0x2a2ec8e7, 0x35e69272, 0x337e042c, 0x4d7d829e, 0x336a077a,
+    0xf1e25381, 0x08a39db0, 0x98a7f8e2, 0x5c6e0aa1, 0x6bfdf9e0, 0xd0468051, 0xa65de52c, 0x2c877199,
+    0x374de233, 0xe748e254, 0x8fba89a3, 0xd05a07a6, 0x47b28e07, 0x7b0ba787, 0x9154aac9, 0x37e91d57,
+    0x3e1737f5, 0x170b4896, 0x9bbae756, 0x2ac58581, 0xa6d774a8, 0x640480ff, 0xaf654c0e, 0x7fc21b25,
+    0x0092ed0d, 0x39981253, 0xb1a191e6, 0x5368b06f, 0xc20436d8, 0xe627b7c1, 0x077608be, 0xb548481a,
+    0x0955fc77, 0x2a2f462b, 0x1987004a, 0x1eb05d96, 0x0a4462b7, 0xcb1cbd3c, 0xdd430522, 0x3ef43772,
+    0xd7cd70f8, 0x54b075f6, 0xe93b4c0c, 0x03f87fd6, 0xe42bce50, 0xd53e68b6, 0xf5b364bc, 0x53dd5178,
+    0xae0f8925, 0xd46d6105, 0x2107f26b, 0x050a4345, 0x66973b65, 0x0ee19f26, 0xc63475f8, 0x2939cc12,
+    0x44374255, 0xf682f2ef, 0x5f97d1e2, 0xf172ba4c, 0x28d7f81d, 0x08bf1ec9, 0xa2025e30, 0xc53eaeb0,
+    0x974969aa, 0x40442e6f, 0x960eb3b2, 0x835e6f49, 0x040a2599, 0x40018f30, 0xba069035, 0x5a9ab9d4,
+    0x24782b8c, 0x47d87b70, 0x6c24852e, 0x1a1b57ca, 0x58053bed, 0xc81b027b, 0x95b63bcb, 0xbf2291e7,
+    0x602b9a47, 0x62c6cec1, 0x26465fbc, 0x9acab96e, 0xd037bdf0, 0x4479dae5, 0xcc81ab2f, 0xf5ab482e,
+    0x3d32c749, 0x537b7076, 0x5ba1efa6, 0xd0b6d89a, 0x2cda1d50, 0x163ea022, 0xc8123854, 0x0f376967,
+    0x32589d4d, 0x479c8362, 0x8fe1266c, 0x57c15eb0, 0x5c728517, 0x0f1fb6d3, 0xdcce6ac6, 0x43308241,
+    0x8f2009d0, 0x997c5bc5, 0x242c1ef1, 0x178fef19, 0x528e1b95, 0xefefa4f8, 0x5e5ec658, 0xc26cb4ab,
+    0x616e0c7f, 0x3eb5a644, 0x34792bca, 0x20362cab, 0x884462a0, 0xad43e4d9, 0xb72975dc, 0xb2cfb55e,
+    0x3e68deb2, 0x3a568cdf, 0xdeddc4c8, 0x23ea64ac, 0x86c8d88a, 0x89edd8d6, 0x22b63aee, 0xa1a7e944,
+    0x8679e9c0, 0xd51f25b7, 0x71f19c07, 0x176030d6, 0x1b73643c, 0x20be1f08, 0xe29a523d, 0x4e4fb88c,
+    0x5a6dd65a, 0x3542ece0, 0x848d8271, 0x2bc46b45, 0x91ab5110, 0x5b122ae0, 0x210c82fb, 0xc9521ee2,
+    0x21f38b52, 0x0b183185, 0x76d21333, 0x230a4dc5, 0x54a67997, 0x03272f00, 0x06bed474, 0x841d3bf4,
+    0x5337e8cb, 0xeca5c52c, 0xba098d05, 0x9f0c90e0, 0x93d5d73e, 0x1286d9a7, 0x75b11f1e, 0x8256e7c2,
+    0xfaaf3b69, 0x02dd326e, 0xc63b145a, 0x4a1cf691, 0xceb3df55, 0xc787af96, 0x8eb37ab0, 0xeb236521,
+    0x00000000,
+    0x2b09fcc6, 0xb300e9d3, 0x7fa9a35a, 0x9ebca11b, 0x49c52f42, 0x5c1db415, 0x1622ae0c, 0x2f99af02,
+    0xf7d187a6, 0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0x32b6587b,
+    0x00000000 }, /* 10**-02094969989053530796808441405969663457418650909467561465269306475581525629698\
+                          99171512529285908857866057656747784163844544589904418936665155413025765720064 */
+  { 0x00000000,
+    0xb3984dd2, 0x5fb34956, 0xeaee31ae, 0x2b753b38, 0x08ac5082, 0x1fb43846, 0x23ed7ead, 0x5f75fb88,
+    0xc0356fd6, 0xe32c897a, 0x47845e1e, 0x9095d3de, 0xc591a13c, 0xa119cc4c, 0x3be834b9, 0x30f09c34,
+    0xc72aa773, 0x062fd862, 0xa92eb594, 0x399cddf5, 0xac65fc6f, 0xbdb38c8e, 0xd86cfc00, 0x00da49e3,
+    0xc810a97e, 0x0303e9c4, 0x9c24cc4f, 0xe09d21a7, 0x49012933, 0x2264a6f7, 0x0882a081, 0x3e530865,
+    0xbb287559, 0x33cb6377, 0xce566699, 0xc1426538, 0x26ceb71d, 0xc446885b, 0x36a71f33, 0x136d24ac,
+    0x68726c46, 0xbaf48e9b, 0xc36c2237, 0x4dbfeae4, 0x3ebcf043, 0xb00573d5, 0x1ace9bb3, 0xcdb5be28,
+    0xeedc088d, 0x3853487c, 0xfb30892b, 0x443f0fc9, 0xc4d23733, 0xe8d21c40, 0xb2ea934f, 0xeb091856,
+    0xa9414b00, 0x1fbfe1d2, 0xf4982633, 0xaa18f268, 0x3f8e0a88, 0xae96cd2a, 0x6d3d2c43, 0xa80005bc,
+    0x207d0469, 0xb9acd1b3, 0x92d24004, 0xefe70c9b, 0x5925c442, 0x217f357c, 0x5dd3300c, 0xd59bd340,
+    0x6590346c, 0xc5836ea5, 0x33b2e659, 0xecd3c33f, 0xe7e093be, 0xb1282ee4, 0x61e70a95, 0xccab1b15,
+    0xb976a79d, 0xd1360dbb, 0x1b57a63a, 0xe05da6a4, 0xfcf1bd2d, 0x266296a5, 0xc7d959e8, 0xf1ce6039,
+    0x39af9f25, 0xdb682d94, 0x291de0f5, 0xc64d9100, 0xa27fe34b, 0x4c161310, 0xd1ad7543, 0x2c40fd50,
+    0x0025c522, 0xf78dfb8a, 0x2d79ce91, 0xc2d35fab, 0x2638b454, 0x2fb2f21a, 0x12b366ca, 0x2d7a8f51,
+    0x12f42d6c, 0x368c99b3, 0x6f59d6cf, 0x7bc18558, 0x4ec8637e, 0x4c8b3147, 0xf756de56, 0x63c107f3,
+    0xbfa6b6f3, 0x66d06c4d, 0x445e9c92, 0xf8369ca9, 0x2a9da4be, 0x070f2028, 0xa02587a1, 0x32e194f9,
+    0xa63bcd51, 0xf33e91fa, 0x65c3f529, 0xf28840a8, 0x02b5487d, 0xf5771979, 0xce1687c3, 0x6aec66ca,
+    0xc3c70739, 0x41836f8f, 0xd6244886, 0xca3c866d, 0x09f491a5, 0xa6ecba05, 0xd5d0eb67, 0xdb642ec4,
+    0x989c5020, 0x5fa7d3f4, 0x274446fc, 0x84b10078, 0x5664f8ef, 0xe286b095, 0xc231ed6b, 0x41551cf3,
+    0xb1cc708e, 0x5579243f, 0x81a128dc, 0x8a3e4eef, 0x0c851b6c, 0xc241b9a9, 0xb89fe742, 0xf50a2892,
+    0xb38ff7f2, 0x44b86bb2, 0x8ba07064, 0xf48e0a9a, 0x55797f03, 0x55091b7e, 0xa29d8065, 0x1402fe86,
+    0xa73ec0bb, 0x0ed54d3c, 0x3024730a, 0xd782b8dc, 0x938852a9, 0x744fb3d3, 0x4bb164f1, 0xf4c28550,
+    0xea16f6c7, 0xe8084c99, 0x4369c4ba, 0x32d6f2f0, 0xec0152e9, 0x0b661471, 0x4ca0ecdc, 0xf870e02a,
+    0x59387c92, 0x6c027ad2, 0x64dee7e2, 0x024564dc, 0x4839f697, 0x2b04a118, 0x1d1d99e9, 0xedb00516,
+    0x1d382470, 0xac08cf8d, 0x6432c43c, 0x26b71e52, 0xa1af61bb, 0x8d60ee99, 0xd8d06e64, 0x64c010ae,
+    0xd04d6959, 0xd7dc952f, 0xd4f0b9af, 0x91604ae2, 0xa2d335f2, 0x1afbea97, 0xde7117fa, 0xf227c0a9,
+    0x52ba26db, 0x5d9ecd79, 0x254eaa85, 0x6dc1fd2b, 0xdb2b025f, 0x87a113ae, 0xd697e530, 0x5dfae6b8,
+    0x0b88757b, 0x765a74c3, 0x1de3bcb1, 0xc12121b0, 0x09a0b8bf, 0x6b676361, 0xc559bb9b, 0x6289aa81,
+    0x931b9130, 0xd005884f, 0x60077702, 0xf2ecf2ba, 0xb02e6ad9, 0x49e906ae, 0x17a913f2, 0xcaaabcd4,
+    0x47e3f174, 0x16d774c1, 0xf53a48fe, 0xd1d60548, 0x333899e0, 0x7a256dc7, 0xd70aa147, 0x4bce1d2e,
+    0x961561a8, 0x77a342dd, 0x7f164cda, 0x5ea4d9d4, 0x61eeafc0, 0x2d716b36, 0xb574d979, 0x9a802579,
+    0x20b04c01, 0xd6d57058, 0x54756862, 0xea17dcbe, 0x776a7474, 0xec48dd87, 0xfd9a5a1c, 0x2c80e762,
+    0x66d5c70e, 0xe550d450, 0x54875809, 0x4ea71ad3, 0xbe60890a, 0xf7e077df, 0x665b1a8b, 0x2742d7bf,
+    0xc1c66ef3, 0xfd1ccede, 0x54564e8a, 0x1eb8d72f, 0x5357df19, 0x194cb8f3, 0x535aa492, 0xea88bc64,
+    0xc1616ecb, 0xebd35af9, 0xa2731cbb, 0xceaf3822, 0xa97857bd, 0xf9c8a53e, 0x79215f4d, 0xe1be757a,
+    0x55b1d942, 0x3600f785, 0xf328f02c, 0x2f02fc75, 0x44f77a2e, 0x4fc021da, 0x12bbab93, 0xca3c5c98,
+    0xa75deb2d, 0x9f5f837c, 0xc25d90a1, 0xfa9e9c13, 0x89de87e4, 0x83fcf242, 0x57b5e611, 0x93f0b1f2,
+    0xa1e54080, 0x5930376b, 0xf9432648, 0x61dc7af9, 0x82461ff5, 0xc3e2106c, 0x1f84d427, 0x48ae4258,
+    0x36cf0e0e, 0x1a4c4947, 0x4b86e5a8, 0x44d5b680, 0x3aab2180, 0xe8206ada, 0xc027833a, 0x59858c63,
+    0xa7c830f4, 0x6c86b4cd, 0xbe8b369b, 0x546e0857, 0x3d60baf6, 0xff7a15fd, 0x30739496, 0x358cc855,
+    0xca80a45a, 0xf6db03d0, 0x6e0b6378, 0x8e424ff8, 0x7264e805, 0x4b85019a, 0xc460b582, 0xcefc8214,
+    0x6093f762, 0xc1065612, 0xc36ab7ee, 0xf217536a, 0x0023d121, 0xac0569b8, 0xc3531768, 0xfac3a908,
+    0xd2fbb4a9, 0x7e307648, 0xf83a385b, 0x0abb69f0, 0xc0c223db, 0x4c3ddc95, 0x52789c11, 0xef0595a9,
+    0xef0bf8ba, 0x4fe13737, 0x94a0e3e0, 0xc79611a3, 0x32a58dba, 0x9d9546cd, 0x33a51296, 0x370ee918,
+    0xcf15be76, 0xea07b508, 0x537fead2, 0x8559c4a4, 0x19b05235, 0x7ff0aa0f, 0x6b067a33, 0x0a95a100,
+    0x09ac8e58, 0xe0d392d4, 0x64f51e91, 0x4dcec5c9, 0x4054a295, 0xd3e80c9a, 0x9e90ec1b, 0xb48f19ec,
+    0xdb481b2f, 0x5f574d3b, 0x81a54a8c, 0xdfbab504, 0x6f49ae11, 0x7dee3cd2, 0xa3aab998, 0x5d08b376,
+    0xb2bded7e, 0x06cbbfc7, 0x6bb0c01c, 0x4ea480ed, 0x21e21998, 0x0c1bf543, 0x70899a4f, 0x668bab65,
+    0x9a93e3a1, 0x9846814a, 0x6da10b82, 0xffd82e27, 0xae9b7ef4, 0x43c89170, 0x62ebbd19, 0xc8c5e139,
+    0xf4496e84, 0xd20ce7a0, 0xda87c462, 0x104a82d3, 0xe2a8a464, 0x2111269b, 0x0d3697a3, 0xbeb9f720,
+    0xa83a1343, 0x11bb4120, 0xd283f9d1, 0x96a6845a, 0xd604ef8e, 0xb1c8787f, 0x8b77c4d1, 0x8c65f57a,
+    0x39b19774, 0x75ff5747, 0x3e105e08, 0xe706044b, 0x7ec66152, 0x257fe701, 0x8c0f07c3, 0x3b800a26,
+    0x54672305, 0x80459c42, 0xe6e8c075, 0x86c5425b, 0xff7e9162, 0xf0a17f58, 0xb0a8bcca, 0xdc5616c8,
+    0x449aa92c, 0xc35ec3c4, 0x66425544, 0xf6ff9a74, 0xbc0e585a, 0x8c2841df, 0xa6ef1fdd, 0x44360eba,
+    0xb004e4d6, 0xf3d8235c, 0x19396fa8, 0xbe988b8a, 0x5640d64b, 0x1ce700b0, 0xaaf6e652, 0xf875df17,
+    0xb030844a, 0xba6182f5, 0xb20acb61, 0x090810b7, 0x169874b9, 0xe462e448, 0xe3cb26b4, 0x325e3d47,
+    0x95752de9, 0xb68c8a82, 0x5841ddae, 0x3dde0580, 0x38948807, 0x803fd67c, 0x6bf476b8, 0x96d97212,
+    0xfd8bd6c4, 0x97680896, 0x07c839ff, 0x286a858f, 0xaebbed32, 0x7c31af1f, 0xadf57608, 0xc0e945dc,
+    0xadd70276, 0x9fb49b74, 0xfb9760ef, 0x9a2ef977, 0x77162212, 0x1b826244, 0xd51fd2ee, 0x3f25a70f,
+    0xf8ae218e, 0xa4126bf9, 0xbd7c3176, 0xa5d54ef0, 0x70eaae56, 0x70ac6961, 0xd6a0def9, 0x907e44df,
+    0x3c7a87bb, 0x365850ad, 0x1c3ddb14, 0x750fcbb6, 0x776044cd, 0x9aca6425, 0xaec9751f, 0xed439bbc,
+    0x4deaeef7, 0x011a5dd1, 0x1b86b3af, 0x225c0b7f, 0x2cfa3918, 0x308872e2, 0xb27036d4, 0xb0a61b2f,
+    0x6577c4e8, 0xb1829718, 0x5e744c4a, 0x680d5a4c, 0x52d5b5a0, 0x13497077, 0x4fa1030c, 0xf847b467,
+    0x90449647, 0xd580892a, 0x1b6f31a4, 0xe410a8d0, 0xfa44f4e1, 0x458c30a2, 0x243511dc, 0xb03d12ad,
+    0x968de427, 0x874db9cb, 0x680f4a6b, 0xe37a94da, 0x1184011d, 0xcb92e854, 0x087deeb2, 0x6290e93c,
+    0xcd50c290, 0x26b1bd0b, 0xffe753de, 0xef6fd92a, 0xf1bd1221, 0x42632758, 0xe7999562, 0xf19a5934,
+    0xcb2deff9, 0x922c8a0c, 0x59bea1db, 0x66bbc5ba, 0x07891b9c, 0x465090b4, 0x30ace55d, 0x868c13f4,
+    0xe084f444, 0x36a60ce2, 0x46562880, 0x7c2be9d4, 0x5df1357b, 0x56736a25, 0x1d9cb9f8, 0xa22266df,
+    0xb301f7eb, 0x660e3f91, 0x9d3bda64, 0xbd583b74, 0xfe9981fe, 0x8a6a64a7, 0xf11b880e, 0x9ab676b3,
+    0x942bdc9f, 0xdecc4fb4, 0x781193b5, 0xe2e3afaa, 0xb9cfd134, 0x29dc1291, 0xa383ac50, 0xc263fcf2,
+    0xe457b092, 0x735fb993, 0x35233db1, 0x435cc538, 0x625c4e85, 0x03bbdab1, 0x81fdb56d, 0x278c3e24,
+    0xfb9fec09, 0x4db7b0eb, 0xa859d906, 0x09875a7b, 0xcd02269d, 0xdcf1d03d, 0x22bda59b, 0x8bb2d396,
+    0x4a6d362e, 0x2f161648, 0x28e86439, 0x0804cfdd, 0x58119b98, 0x51067fd2, 0xdd52a5cf, 0x0b2afe97,
+    0x1b659b1b, 0xbece4c58, 0xc227e93d, 0x7e368566, 0x390942cd, 0x030b2384, 0x04cb2afe, 0x7cd5a8e5,
+    0x5b7c8866, 0xf42d7a64, 0x2fc6be99, 0x5afe4b67, 0xb4735305, 0x0843fe92, 0xb543b1f9, 0xaba122ca,
+    0x9a2cd0cc, 0x267b8485, 0x55883450, 0x6d12c67a, 0x266a89df, 0x21cb94b4, 0x24323fc5, 0x8acafe0f,
+    0xc6af33d8, 0x891953d9, 0xfeadcde1, 0x776e3cff, 0xbdd937be, 0xd0c52b89, 0x30a57acd, 0xdbec438b,
+    0xa1882ae9, 0x4c5d9cfc, 0x96c5ce8a, 0x8bdaafb0, 0xdede042a, 0x9d8480e4, 0x41ed46d1, 0x8ea279d8,
+    0xdf80ef5c, 0x9fc34a6b, 0x5bdadf91, 0x14709d44, 0xf3000eaa, 0x83ca3315, 0xcd5f8434, 0xa65ccbf3,
+    0xe60de1ac, 0xfcf0f8ae, 0x94fdec41, 0x31128e60, 0x1c88677e, 0xc43634bc, 0x04d87058, 0xb996080d,
+    0x30326e12, 0x26b25173, 0x2a39d9bd, 0x08ccb2cb, 0x4d998c27, 0x1926f4a5, 0xa9cfa982, 0x2d27b633,
+    0xccdd2f43, 0x0a8815ff, 0x1e144872, 0x73ef9e6a, 0x58dee5d8, 0x0e96d56a, 0x24b90ec1, 0xc9b12fce,
+    0xbce419d9, 0x2cd2457f, 0x3097a618, 0x678dafad, 0x808a2e13, 0xbe9b0486, 0x43efc5c6, 0xa4121cee,
+    0x77fff318, 0xcf0e23b7, 0xff02a19e, 0x6ca1ec16, 0xbb11d22a, 0xcdd36ae2, 0x1c7fc672, 0xaf0553a1,
+    0xe1b42708, 0xce3c8a0a, 0x523dd8fb, 0x04f0d6f1, 0x9b7bdd5c, 0x8d9269af, 0xc0ac96f2, 0x86f62a99,
+    0x73f1b012, 0x8a40626e, 0xaacce86d, 0x9561d38f, 0x39836763, 0x9e3679ab, 0x235b905e, 0x806c3a74,
+    0x0a4d452a, 0xf628239e, 0x57b86148, 0xea2a9ded, 0x141c0a50, 0x150e2a05, 0x40ae3a2c, 0x11705019,
+    0xabdd716b, 0x4cd7b4ed, 0xce392643, 0x78805380, 0xeb7b292d, 0x7715b672, 0x5ccbd553, 0x7cef07f0,
+    0x8d4b214f, 0x02520bc3, 0x2480ffb2, 0x41d63098, 0x36975c6e, 0x96f8a89c, 0xbdac8c7a, 0xb720a87a,
+    0x0ba22846, 0x8a32529b, 0x0ed7e5ce, 0xdb9a97f3, 0xe8478a38, 0x24626461, 0xe42a3006, 0x2d2499c3,
+    0x3d65191b, 0x9282ec37, 0x03d51404, 0x8c9eb081, 0xe6bb94b3, 0x3579dbdf, 0xfd86d26a, 0x4e58ed29,
+    0x5fb19b39, 0x6c653c3f, 0xcc2332aa, 0x0a2ccc44, 0x5442a235, 0x1be50709, 0xb75ffff9, 0xa00fb847,
+    0x722ce28c, 0x3ae485bf, 0x34cb9f6f, 0xe6199c92, 0xe59b75ee, 0x8e335cf2, 0x59addc7d, 0x03eeb01c,
+    0x733cf0a5, 0xc493c578, 0xe94adec4, 0x6f67a6b1, 0x76f303e4, 0x46613d10, 0x42705807, 0xf0c92d60,
+    0x3f13d55b, 0xefbfffbe, 0x6197f004, 0x98c39363, 0xc2102725, 0x43076ce3, 0xddd8a566, 0xdb5f978a,
+    0x3e745c0a, 0x1427a623, 0x3a5798fa, 0x848a9476, 0x807590e7, 0x8a2c40e4, 0x3b37fa39, 0xad78493a,
+    0xd4c56f73, 0xa1039b26, 0x0f26c438, 0x044b9136, 0xebe18bfd, 0x276f35bd, 0xaf4f0167, 0xf9baa724,
+    0xc3375856, 0xa7dd1224, 0x8d2ae801, 0x97539408, 0x601e6c7b, 0xeb8d2224, 0xc80df5fb, 0xd88da2dd,
+    0x9efc276a, 0x4399cb4d, 0xf59c5ec6, 0x85afcda1, 0xea0ccf16, 0x02d24789, 0x276f1df9, 0x9537b917,
+    0xaff678a5, 0x5c10f3d4, 0x55a056e7, 0x943fbc09, 0x7551cb24, 0x92fd26e4, 0x101e4a14, 0x6c9d7bb5,
+    0x1ca1f7b5, 0xe3292c8e, 0x7b03126d, 0x6dc3eaa2, 0x273da43e, 0xfdedfdfb, 0x26db5f57, 0x65fbe90d,
+    0x9a971a85, 0x67431dd5, 0xfc3f5c13, 0x69fababa, 0xa958975f, 0x4f45eca0, 0x0efa13b2, 0x44e08fe9,
+    0x247ac316, 0xaa54b426, 0xa9475836, 0xdbf419c7, 0x254d73e9, 0xefc7585b, 0x68ec422e, 0x35d84a14,
+    0x82d6c256, 0x765d170a, 0x350a993b, 0xb1ecadae, 0x4fecf4e8, 0xd2479b28, 0x7a870c2b, 0xdedb03b3,
+    0x18f06eff, 0x00343aa4, 0x94d4eb17, 0x0d58add4, 0x1db523a1, 0x48764072, 0x3e8ae64d, 0x4543b85a,
+    0xc821e1ab, 0x18adfeb2, 0x5f731681, 0x359f5b3c, 0x2ce79d93, 0xdbd29211, 0x78602bfc, 0xab33d8f4,
+    0x1dbad336, 0x19b3e544, 0x3e74163f, 0x489f52cc, 0x71cc926d, 0x727f7f67, 0x00202cce, 0x443cc680,
+    0x0e56b0f3, 0x33543370, 0x5b0bb2e6, 0x421215a4, 0xb264bdd6, 0x3a52fc0c, 0x3f2e92f1, 0x22f827c4,
+    0x81232f8b, 0x0c1274cd, 0x8f97ea9d, 0x9facec5f, 0xd384e431, 0x5ae56bcc, 0xaff10f88, 0xb5e2d000,
+    0x3ad49cef, 0x938c0d90, 0x37d667cc, 0x9fb0a23c, 0x5cd64611, 0x3d0959fe, 0xf3b5e53e, 0x3233216d,
+    0x6ec166cf, 0x6ea81b98, 0xf2d9160d, 0xa8bc4424, 0xa78a30e1, 0xf67632be, 0x99edb7f3, 0xa2961aa6,
+    0x3c306c66, 0x5609f0f8, 0x1a80a6ed, 0x1c9ab474, 0xd87c5293, 0xe0ee57ad, 0x8bdf4620, 0x48d451f2,
+    0x17d79d8c, 0x801faa16, 0xcbeeec8a, 0x1b05e5bb, 0x110d4aab, 0x593233ca, 0x931e74f4, 0x1b480788,
+    0xb0b14008, 0x0c141edf, 0x57e0106d, 0x1bfe4a69, 0x033a8f60, 0xabcc1675, 0x4117e210, 0xfdd7c762,
+    0xf6f691b2, 0xbb5e2af2, 0x3282e6f3, 0x5bdae1ac, 0xa288652d, 0x8bfc901d, 0x78e1983f, 0x1fbbef88,
+    0xc48d2288, 0x2cd9a61a, 0x1d913985, 0x0e249d59, 0x8019eb1c, 0x5ea7bbf2, 0x2833e397, 0x156de785,
+    0xbdb4c18e, 0xa784e956, 0x06831fbf, 0xed19d749, 0xd7c3fbab, 0x31ec07c3, 0xc7267553, 0x9f50ba4f,
+    0xf997a548, 0xd148fb4a, 0x464bbfc9, 0x27419395, 0x302420dc, 0x3d79948e, 0x7cd53442, 0xb9ea765f,
+    0x72103551, 0x08202b37, 0x32156384, 0x2af03b46, 0xf82c12a6, 0x20d52ef9, 0xa18bbccf, 0x58db192f,
+    0x857bec2e, 0x3c2d5b05, 0x6b18abac, 0x6f98617e, 0xb21b03cc, 0x83cf87ef, 0x4c96d677, 0x9988593e,
+    0xc555213c, 0x30ce2050, 0xb7b3ef6a, 0x7ee25afd, 0x86f2b12e, 0x83b0c090, 0x69718866, 0x987df0b3,
+    0x1d34a62b, 0xb070d095, 0x4e5e65ac, 0x13902d15, 0x7e08532d, 0xcc0aed99, 0xfe72cb89, 0xb8828e4f,
+    0x4958557a, 0xa210c460, 0x988eb3aa, 0xd10f369b, 0x3b470ba8, 0x1f8ea1b8, 0xaba47f3f, 0x7427b488,
+    0xdee72433, 0xeff73f46, 0x956cb963, 0xe2c9106b, 0x92bfdcdb, 0x8feb680b, 0x66686c0e, 0x3a996fce,
+    0x03a67d76, 0x201a2c0d, 0x610eec32, 0xabd680cf, 0x2a0bc2b8, 0xb36a37b9, 0x955a3860, 0x097c04cf,
+    0x2fcc3855, 0x9ca21a55, 0xc0fa3269, 0xd79c56f9, 0x3d86ee9f, 0x92781544, 0x3a1c38fa, 0xce16ab9d,
+    0x7d25b48c, 0x8ea55774, 0x77844cde, 0x7e334321, 0xe4236e6c, 0x3cf649a5, 0x2efef296, 0xf558f5aa,
+    0x00000000,
+    0x9584fe62, 0x598074e9, 0xbfd4d1ad, 0x4f5e508d, 0xa4e297a1, 0x2e0eda0a, 0x0b115706, 0x17ccd781,
+    0xfbe8c3d3, 0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0x395b2c3d,
+    0x00000000 }, /* 10**-01047484994526765398404220702984831728709325454733780732634653237790762814849\
+                          49585756264642954428933028828373892081922272294952209468332577706512882860032 */
+  { 0x00000000,
+    0x009f1a8e, 0xd27426d2, 0x1f119c22, 0x71e29848, 0x969a4a63, 0xa1484cf8, 0x3ac4044c, 0xfa103e64,
+    0x04212dab, 0x44a88d71, 0xbe3ab61a, 0x039bf1c5, 0x861dc6d5, 0xd7cf5be3, 0x4797d9a0, 0x3694ca78,
+    0xf95702c0, 0x8da273a1, 0x2e54232c, 0xd1d3be83, 0x890c938b, 0x6a10375d, 0x12f6e2f0, 0xe17af3f4,
+    0xcad0ddb5, 0xd007e517, 0x7812e33d, 0xa4b8a2a2, 0x555b396b, 0x588fb86b, 0x662e1e8a, 0x69609d4b,
+    0xfeca1c55, 0x6adda616, 0x95d0bd85, 0x9b67ccde, 0x668d7a82, 0x24e43486, 0x4ca7311c, 0x239b1393,
+    0x324e14f3, 0xed4aed6b, 0x36e6ac38, 0x199a3cbf, 0xe39b7dcb, 0x91a629ad, 0xae6f6ebc, 0x23217ae1,
+    0x98f8b6a6, 0xa98c7699, 0x39fc773d, 0x751decb8, 0x418bc31b, 0xe22973c5, 0xdef63bdd, 0x4606638f,
+    0xb2a1566e, 0x4c15558f, 0x3bab1c4a, 0xc6c76367, 0x612074f5, 0x4e11c7d4, 0xa36da77b, 0x0cc5cc83,
+    0x66beaaa6, 0x3d9ba5b2, 0x88b4934c, 0x7438a46c, 0x8bf07075, 0x1446ca47, 0x16c827e7, 0x1a3ca002,
+    0x020c8370, 0x0752ecbb, 0xec9b5540, 0xe364c54c, 0x1cd97e18, 0xa2f8fc85, 0x12e67587, 0x65a3a061,
+    0x22538c67, 0x040e37f6, 0xecf13e29, 0xe8d4ac40, 0x59dbe1f2, 0xf4c1d8dc, 0xc11f0ae9, 0xd7e90a83,
+    0xf506a3ca, 0x301477f5, 0x9613c22e, 0x0decc0bc, 0xbb146e3b, 0xb0d983d2, 0x561dcf1d, 0x44db610c,
+    0x79a9fb20, 0xd9a7b793, 0xac80eac6, 0x371d9271, 0xe222aab4, 0x96c55275, 0x6e7605d2, 0x5161bf2f,
+    0xc8651a18, 0x09eba41b, 0x008a27b8, 0x22c2be6c, 0x1c788494, 0x0ac8db84, 0x916ba20d, 0x2880fd75,
+    0x0b78b418, 0x76a41d55, 0x1ab47e19, 0x7b301ec3, 0x9353659c, 0x6342ef3b, 0xbb73ea8b, 0xe86737fc,
+    0x57ecf27d, 0x96ca4080, 0x8ed42c78, 0x69a0e65d, 0xa25962f9, 0x49d9e572, 0xc56f8f03, 0x9903a8ba,
+    0xcb7b119d, 0xbe5a546e, 0xda8cfdb8, 0x8e2879a6, 0xf27bf8e4, 0xb64cb9dc, 0xcbf77778, 0x4e5d96a1,
+    0x4f882b7c, 0xc8bdc7b9, 0xbc3543c0, 0x87cc3dbe, 0x328421f3, 0xf422c35f, 0x45070296, 0xd2e629fa,
+    0xd682f9bd, 0x01bfcfc6, 0xb4df38ee, 0xefe79bdb, 0x511146b4, 0x7039f37f, 0x01119ce5, 0x3cc93299,
+    0xa0c15bf1, 0x5f4ef321, 0x686e51b4, 0xc6193a9b, 0xab6bd19c, 0xa366c5b8, 0xa8eed7a9, 0x1214871e,
+    0xa40cd163, 0x60b63c92, 0x8adf1741, 0x2a486518, 0x94f260b8, 0x19988330, 0x4a49ce64, 0x3a66936f,
+    0x75d5b384, 0xc06dc38a, 0x2e07b33e, 0x22eb2120, 0x6d3b6c21, 0x7115059f, 0xf6347817, 0x9ca46cca,
+    0x13ce4904, 0xe30cc689, 0x43406619, 0x85cf0714, 0x1195174e, 0x8e475a4a, 0x1219007d, 0x70580aac,
+    0x6345a5d9, 0xc39317ef, 0xe388848a, 0x669b917a, 0x52f1e9f2, 0xd1565cd6, 0x495552b9, 0x8bbd38dc,
+    0x1526bca9, 0x300fba60, 0xd75d41e5, 0xe852915d, 0xe90625b5, 0x8948fc28, 0xca8623ac, 0xcd128aef,
+    0xe824dc06, 0x097be90f, 0xd36d8f89, 0xa65e0a9d, 0x75c270bc, 0x0bac67c9, 0x34fc46d5, 0xf751c87f,
+    0x42c8ecde, 0x9419bba6, 0x869ce0bf, 0x81d05531, 0x93e0d549, 0x4796bc6f, 0x6f0ba47c, 0xc6807b90,
+    0x82f8afac, 0x304dc9e0, 0x6c1c7dd1, 0x059a6621, 0x475fec47, 0xd10f8da3, 0xd9cfed32, 0x8b121cd0,
+    0x31d323fa, 0xb314d6c9, 0xcd6c1f37, 0x780903a1, 0xf1cf03f3, 0xfb10cbaf, 0x87ebbe8d, 0xb49417c6,
+    0x64f4d0c2, 0xa31ef3cf, 0x6070307b, 0x877484dd, 0x06d35146, 0xac024a8f, 0x906e0f46, 0xd203b701,
+    0xfc7f4f22, 0x42091310, 0x1275b612, 0x1b061e03, 0x79771f7e, 0x125e6966, 0xa6e14b65, 0x93b14bde,
+    0xe79ab025, 0x17f5751d, 0xf0f8f200, 0x0db08cae, 0x288a8eed, 0xecce6067, 0x89ba7d0b, 0x954d4ea4,
+    0xf62713ab, 0xac9e22f8, 0x9e611f79, 0x75c72e6c, 0x38c3b6a6, 0x6b5e2f8a, 0xff3be216, 0x5411cee5,
+    0x27190f5b, 0x11cf9ed9, 0x026bfe4a, 0x0bb1b649, 0xcb008dd0, 0x1f07170f, 0xeb598ef4, 0xdd2490c0,
+    0xc70abb6d, 0x393368c3, 0x8f3691d6, 0xae1a203d, 0x63069ca7, 0x2772366f, 0x634b4fee, 0x456eb125,
+    0xc4977400, 0x19f54208, 0xdda40600, 0x68154863, 0x7a5532c2, 0xe94c40c5, 0xa51c2e2c, 0x4053aab2,
+    0xad7e27a9, 0x8ea49b1b, 0xe5c3e3b5, 0xc4b1cd77, 0xfee98a42, 0x4b4c9a55, 0x52e9e554, 0x8c49f90c,
+    0x0240f92e, 0x96c06580, 0x660494cd, 0xa85e061b, 0x70dfd869, 0xda7e538d, 0xc918e47e, 0x818b1c1a,
+    0x2835f48b, 0x756a3aa5, 0x1d205b49, 0x34b9d0b0, 0x177a62c2, 0xf110765d, 0xf6f90a33, 0x99cf80d7,
+    0xd029810d, 0x95675db2, 0xa3cf9625, 0x1a39e91e, 0x93c5ae87, 0xd8cc26cb, 0x6d7d2618, 0xaecb02e1,
+    0x99029057, 0x2a473276, 0xf4c9d3c1, 0xd9004506, 0xb2440347, 0x43010d92, 0x14d96234, 0xe4eaba11,
+    0xf14bc69b, 0x0f9fb298, 0x836eb334, 0xf6bd2948, 0x0cddc778, 0x988f0ac6, 0xb3757686, 0xb30a3f40,
+    0xc4ab3366, 0xfe67ed9f, 0x217107e5, 0xb604b217, 0x6319fdaa, 0x23a173a9, 0x67ac1b7e, 0xbdb9131f,
+    0xb63b4722, 0x12939b98, 0x3ea5656b, 0x149c2813, 0x8abb6977, 0x8dd0a521, 0x45133f6c, 0x54dec9fe,
+    0x4d8dee08, 0x62fb083e, 0xb33ca25b, 0x8410c33f, 0xa5193238, 0xbfa002e9, 0xd8e13b8f, 0x0653b2a6,
+    0xa3ec92ff, 0xafef4191, 0xd4d8b1c6, 0x1f03e3f8, 0x844e2cf6, 0x59c2994c, 0xf48d9c03, 0x0d19200e,
+    0x13cbb412, 0x82bea306, 0x0ee572f4, 0xec6c8016, 0xb7668d34, 0x3e5bfed9, 0xf86dc352, 0xa919d20a,
+    0x490c764a, 0x0eea5e99, 0x71afc4b9, 0xbf35aca8, 0xa063219c, 0xb724b2ae, 0x7e2acbb0, 0x881527ee,
+    0xabfd9fe3, 0x75cc46c5, 0xb9f01151, 0xf7a0215a, 0x09738a32, 0x70fcf703, 0x8ba31f54, 0xb57cabd3,
+    0x97e471cc, 0x0da4a2d3, 0x720a0b61, 0x20d69388, 0x46da26b4, 0x19189f4a, 0x7ce9bce7, 0x21d2d2d7,
+    0x3a63159b, 0xb517c0ac, 0xf88bf38f, 0x77528f7e, 0x048d92dd, 0xade376ae, 0xa7a8281f, 0x5b1e83c5,
+    0x69172981, 0x43a4fb0a, 0xaf52ab22, 0x07b61b22, 0x1cd7c6c6, 0x7516bacb, 0x2d692c2b, 0x25627132,
+    0x8383998a, 0x683eb7b0, 0xc3c3031a, 0x9aa3b494, 0x99c06c26, 0x4b0d4329, 0xafa5f678, 0x82bad1a0,
+    0x29984f5b, 0x08969830, 0xfcd63a17, 0x03c808c6, 0x3d3e137f, 0x75abb95d, 0xc46b44a8, 0x641cce50,
+    0x1f4025c8, 0xeaf990cf, 0xa13ea045, 0x2d134e49, 0xe9e94320, 0x208aa0c5, 0xc3023263, 0x6d4c1ecc,
+    0x327498d9, 0xa3879660, 0xd07474bf, 0xe6a82e68, 0x89d48c0a, 0x254a1908, 0x926b5c77, 0x6acdd9c6,
+    0xf5dcd0cd, 0xf084a9ca, 0x44500b35, 0xcadb4a0c, 0xa0b90fa4, 0x747d749a, 0xc0bac562, 0x3a2fb420,
+    0x5ace004c, 0xb8d9d0b2, 0x15f3b4b5, 0xc125e53d, 0x886ac2b2, 0x35651141, 0x1d927922, 0x5a0c05d0,
+    0x3d2c1580, 0xfca6e9dd, 0xfde17bba, 0x5d2dc352, 0x5fbf9ddf, 0x7f2b914d, 0xeb08bbf5, 0xc86da61b,
+    0x1850699d, 0xb018fed7, 0xbfcf9e94, 0xf3a1430e, 0xc99f076d, 0x5a488806, 0x37f2b32b, 0xe59801a4,
+    0x3dec24ac, 0x51b0f483, 0xfaf6150c, 0x612cf8bd, 0x3cddb39c, 0x6368cd1c, 0xddabffac, 0xe9021a14,
+    0xed68a075, 0xb09bcdeb, 0x9c88211e, 0xfa5946c7, 0xacd348e7, 0x56766c9c, 0x285bdbaf, 0xbf6de6d0,
+    0x0f23af89, 0x863cbd73, 0x747c7b9e, 0xf6f4a869, 0x36e3bcc4, 0x70cf46af, 0x7150abf6, 0xd837c2da,
+    0xef6f6d29, 0xc578fef7, 0xaf8d6325, 0x0d87224d, 0x04af0ea9, 0x68c20a95, 0x4b57346c, 0x7141b289,
+    0x38d95ada, 0xeaef2481, 0x8a3f5201, 0x97509238, 0x4ee36508, 0x78b3c8c1, 0xee2bf3cc, 0x1a9a2a88,
+    0x666e969d, 0x9cd80008, 0x6e7a674c, 0x485416a4, 0xb15c32b1, 0x52e3aaeb, 0x6f210878, 0x83b4eae3,
+    0xfda5ce89, 0x9b96996b, 0x1d5ac8d1, 0x9b05261e, 0x871e60de, 0x81b09033, 0x85134912, 0x8279ae39,
+    0x99b85837, 0x4e8dcdec, 0xaf5dbe07, 0x31ab41c8, 0xe17662b9, 0xf40797f3, 0x0db61ced, 0x99d521db,
+    0x4ca6be45, 0xc8b7e79e, 0xb771047d, 0x4ed4af37, 0x4930fe0d, 0x7070c8da, 0x5841bd4d, 0xb8003c7f,
+    0x0a0016fb, 0xd2886748, 0x438e5649, 0x1def7df2, 0x3050c562, 0x98d063a5, 0x0bb57e96, 0x9898b09c,
+    0x3e24d985, 0xd9bdf538, 0xc00d5c8c, 0xd63a6e91, 0x85ca4d70, 0xe8fcf69e, 0x3a333174, 0x14dd623a,
+    0x664c3f82, 0x2c340c06, 0xc881bbd3, 0x78967c12, 0x0a93b752, 0x06689298, 0xb2d6f831, 0xc839ef61,
+    0x4a5cef97, 0x1a09d4f1, 0x2000cd6e, 0xff7c6bc7, 0x66f71260, 0x2334acda, 0x1f03aa09, 0xf0401f49,
+    0x540b835d, 0x882a8cc1, 0x6a472993, 0xb4899233, 0x9d7eb5a2, 0x26ddf8a0, 0x4e5b9d4d, 0x49b2c085,
+    0x3ecc29b1, 0x275a7f23, 0xa741e84d, 0x32e76dbe, 0xd1d3a4d3, 0xe8753e00, 0x92bc0f8a, 0x7b2e4bd5,
+    0xbbc562eb, 0x518ae37f, 0xbcc570a7, 0x1d513cf4, 0x0d6b6236, 0x4c8555e6, 0x4eeebe33, 0x2ed09a0d,
+    0x5a9db42c, 0x4303eee9, 0xb3af63a8, 0x1826bd80, 0xfcdfda5b, 0x94022b17, 0x399075f6, 0x50645564,
+    0x183f3c7b, 0xfe86abc1, 0x06726c6e, 0xc950aada, 0xa914f395, 0x3ff7b3ee, 0xb018a6c2, 0xc39c088f,
+    0x2212cda9, 0x93b8ab09, 0x06ff1c7b, 0xc804ccaa, 0xb31da8eb, 0x7c502161, 0x5edcf67e, 0x8c874d87,
+    0xdc57aced, 0x0273a8fc, 0xe5ab544d, 0xc019ad01, 0x0e2a50f7, 0x552c9f52, 0x0ea48854, 0xbf7a038e,
+    0x2ee6212d, 0x0643b245, 0x91fd2c6e, 0xb47464a6, 0x45adba87, 0x9a56b9d0, 0x575a7e60, 0x141c2cde,
+    0x8c080f2f, 0xc2838e15, 0xcd5be34a, 0xee948fb6, 0x20c7e693, 0x7a216e5f, 0x4d30ea9e, 0x39fdc104,
+    0x6dc7f88a, 0x28bfa8b1, 0x4e918954, 0x34a98d69, 0x44a7e99a, 0xe975a890, 0x2f08eb6f, 0x164ff218,
+    0x6641b4a7, 0x5654123f, 0x4a8799b4, 0x3415da86, 0x57ecfbd8, 0xd49191b8, 0x485a2794, 0xd79f57c8,
+    0x486f3d5c, 0xe6e58e96, 0x24a4d9c4, 0x50e8961e, 0xb4cfa23b, 0xa9c282f9, 0xe5546522, 0x4cc2f4ad,
+    0x0b08c692, 0x30e3e0ca, 0x97340c18, 0xf65f5c4a, 0xfd609511, 0x61d75d01, 0x3301d76b, 0x642b69fc,
+    0xe004c38d, 0x51974ec2, 0xe0c651e6, 0xa8014bdd, 0xda866d4b, 0x131127cc, 0x37eadd1e, 0x54d3e184,
+    0x3119837c, 0x7d1fbbff, 0x2ab6f7c7, 0xc7096a0b, 0xd1842ae7, 0xbb1d9625, 0xcccaf3c1, 0xd2f18dfc,
+    0x011146aa, 0xfdba6ce0, 0x433ebf71, 0x67995f04, 0x1d8606f0, 0x2b9b949b, 0x99b748b9, 0x34f97a98,
+    0x2699bc2b, 0xa4e854e6, 0x964e0a30, 0x9416a379, 0xde2f497a, 0x7567099c, 0x2140305e, 0x8b62d060,
+    0x8e4f1dc1, 0xae8a0e8c, 0x0ff41ba4, 0x19bdbc58, 0x88236a7b, 0xb732fcd0, 0x2157ec18, 0x6611c3e0,
+    0x60a5ae56, 0x7014e2d1, 0x0308c44d, 0xa782e2ce, 0xe04f0a25, 0x49d54481, 0x1a3122ba, 0x2fa67303,
+    0x3a3295cd, 0x78aeca6d, 0xb3d0e5ee, 0x3cb7d499, 0xa2b83453, 0x8d29472f, 0x161d25c9, 0x0784d004,
+    0x130ea813, 0xa56f07e2, 0x853c3b7d, 0x0c9e6a63, 0x40b6182c, 0x6e9ede58, 0x8f2bd903, 0x3be57e70,
+    0x3b0ada31, 0x886f1253, 0x393e84a1, 0x5fc5e130, 0x84bbcb77, 0x9d2f4a17, 0x9ddb605b, 0x35e09e4a,
+    0xb3f06c2e, 0x0fe5d6ca, 0xf6dc48d3, 0x6d6a47a7, 0xb8583020, 0x44569f03, 0x38852db1, 0xa54b96f7,
+    0x407bf8f6, 0x99b1b3d3, 0xada80337, 0x55b4fc48, 0xcaa6742c, 0x9594ea7e, 0xe346778e, 0xfed3ffcd,
+    0x6b1afb3b, 0xac514eb8, 0x20317434, 0xfbdc7a45, 0x72b80c10, 0xde2ac7da, 0x411610e4, 0x2f2d1e0f,
+    0x55e92711, 0xbd86602e, 0xbec02255, 0x76f78a02, 0x2d92c4ef, 0x0cb8a954, 0xe31a1787, 0xd9d270b5,
+    0x2732d030, 0x703b3dbc, 0x5ea861d3, 0xc35fb086, 0x09a03a90, 0x870f2cab, 0x47168af8, 0x560cb22a,
+    0xc985a7f0, 0xb219d11f, 0x4a9be087, 0xca5f66bf, 0x2c114f87, 0xeb87415b, 0xfde69080, 0xee23793c,
+    0x512c4bb8, 0x2b1aa3eb, 0x3e585ba5, 0x3f0ee302, 0x028be256, 0xb6dd6f43, 0x9e02c9cb, 0x44c61c04,
+    0x47f50549, 0x84203384, 0x2a556b9b, 0x9f63e56b, 0xa49c0c4c, 0x6bdf2ddf, 0x8bd94612, 0xd17fe786,
+    0x91170440, 0xc940caa0, 0x79ed3031, 0xedb0151f, 0xda81fcbc, 0x961d84ab, 0x89212fd1, 0x3c88335c,
+    0x513dce39, 0xa35aa030, 0x790b62cf, 0xbce685eb, 0x133b95d4, 0xb29b9212, 0x4222a0b8, 0xfe86ddc2,
+    0x668eaaed, 0x74ccaf9f, 0x470403fe, 0x7a87fae6, 0x19cacb36, 0x62c89506, 0x8c3ed087, 0x4901456c,
+    0x767bbaaa, 0xd7330779, 0xc5f19ae4, 0x966acb4e, 0x50af826c, 0xeb81dbfa, 0x36cb6d28, 0xb31d494c,
+    0x4a0023d6, 0x5bf1c5ee, 0x3871b0f5, 0x1bb7273b, 0x40ce2864, 0xca841279, 0x3c5dab93, 0xe30374cc,
+    0xb856dcd4, 0x2bf79d08, 0xe973c144, 0xfdfd6c0b, 0xc20f4b31, 0x763f2a8a, 0x30f0d714, 0x294d16e0,
+    0x8b37c817, 0x364cf9fb, 0xfcd422c1, 0x0999b76b, 0x655856de, 0x668189d0, 0xdc6e3caf, 0x79711f5f,
+    0xfece8f5f, 0xf9a10e73, 0xd6e2c906, 0x69d86962, 0x19fb4a30, 0xe52f08a6, 0x59889bcf, 0x6f14de7e,
+    0x4d2be9dd, 0x806276be, 0x79a31da1, 0xf96119e1, 0x17dd2d25, 0xb882607e, 0x3a092a9c, 0xf204dab2,
+    0x15261c42, 0x2d892796, 0x1971fd92, 0xa15ebafd, 0xd47cee85, 0xe0fba198, 0xce97c4f8, 0xccfc01e0,
+    0xbf110d16, 0x57901b90, 0x6344b238, 0x03cd151b, 0xab90ec1b, 0xf141c699, 0x5a5de9dd, 0x002fa64d,
+    0x0f96f303, 0xb03e526b, 0x6343f9f7, 0xc3da2599, 0x996d6a43, 0x25ec1a33, 0x577fb13a, 0xa4f2fd45,
+    0x2f5f7681, 0x7423547c, 0x379b3fa5, 0xb736788d, 0xf3f20948, 0x201f04cd, 0xd3adee0f, 0x6a67a7dd,
+    0x38cd147d, 0x4121a474, 0x97d209b8, 0xa03bd7c0, 0xdd12be74, 0xc9a09269, 0xea4f7f4b, 0xa0fb17f9,
+    0xdbec172f, 0xb10f30a2, 0x99a3d271, 0xfb0855fb, 0x541336ba, 0x5f046c60, 0x7303cb22, 0x38111c75,
+    0x97874766, 0x20b12143, 0x1fefd291, 0x202ddfc3, 0x9ea1d0f1, 0xad93e73a, 0x6c2f2982, 0xba908ad2,
+    0x0bc47173, 0x33828ee1, 0x299bfa38, 0x8145c650, 0x454de866, 0xa0599535, 0x220622f7, 0x344b5355,
+    0xa5b88742, 0x4ad75ef1, 0x2dee1128, 0xd06f7ef8, 0x6f6e2e35, 0x204370f2, 0x1fa6f647, 0x87d0eb7c,
+    0x525658b8, 0x80dc36e6, 0x9fe48875, 0xa42b131c, 0xc5b04c07, 0x4a74e541, 0xe834d8be, 0xaca21eaa,
+    0xc1aaf8d6, 0xecd8668f, 0x0cc2198a, 0xcfd120f0, 0x8425977d, 0x5e7c1037, 0xe3116d0a, 0xbc6758d9,
+    0x44c32d29, 0x1696db00, 0x8e8a1ef7, 0xb2dfbf9f, 0x7a4dc9a9, 0xb4578348, 0x84b53b96, 0xc41a227a,
+    0x1e6dadab, 0xa1db4514, 0x88f649e3, 0xdac33603, 0x4605a6ab, 0x801539ad, 0xda000b76, 0x66a06f0b,
+    0xa65907ba, 0xe765ab8c, 0xe19953a8, 0x4d281444, 0x998aa3d2, 0x0322bb2b, 0x814561a1, 0xfa9dfe08,
+    0x00000000,
+    0xcac27f30, 0xacc03a74, 0xdfea68d6, 0xa7af2846, 0x52714bd0, 0x17076d05, 0x8588ab83, 0x8be66bc0,
+    0xfdf461e9, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0x3cad961e,
+    0x00000000 }, /* 10**-00523742497263382699202110351492415864354662727366890366317326618895381407424\
+                          74792878132321477214466514414186946040961136147476104734166288853256441430016 */
+  { 0x00000000,
+    0xe3368498, 0x5598ea0c, 0xeace35ad, 0x19e27439, 0xb3f89583, 0x248b92eb, 0x1f91f8f0, 0xe3192e96,
+    0xad17df2e, 0x6a529f96, 0x7cce22da, 0xede5e0b3, 0x528039a6, 0xc9c3e99a, 0xdd23b25e, 0x7b724c76,
+    0xa61217b3, 0x2c81793b, 0x190ed9db, 0x16edd3de, 0x09c8ed2c, 0x9cebea26, 0x058a65ca, 0xe0d8e397,
+    0x9de1fdab, 0x5f8f388e, 0x802e0b7b, 0xcc56346a, 0xb4310f1e, 0xa1641a24, 0xd41cb25d, 0x99208a51,
+    0x900610fd, 0x6b2b1001, 0xd94981b2, 0xad9b1180, 0x98de2b3a, 0x6754e874, 0x1e7d667e, 0xfff1f71b,
+    0x7847d1af, 0xb5979cee, 0x2528128d, 0x36b5b1fb, 0xf9f350ae, 0x2f59920b, 0xd0a76c94, 0xab2c6c3f,
+    0xac4f103b, 0x3b50cdff, 0x6eef3ff9, 0x323c96d1, 0xe6a9ecff, 0xd6bea150, 0xa37255dd, 0xe0860871,
+    0xe96eea10, 0x32f98757, 0xbf50db94, 0x54dfde7e, 0xf2b10c0a, 0x82feaee3, 0x6e5a3241, 0x2f8f5a85,
+    0xa6e792c8, 0x2e8a84e7, 0x675ef755, 0xb5fc46cc, 0x53d8e89e, 0x0e9ae48e, 0x1c8716e7, 0x657beced,
+    0x744e2ad5, 0xeef91adb, 0x99ff1c66, 0x88d1ba8c, 0xc8ffa36f, 0x20fb4d2a, 0xbb5b6518, 0x3bfa0db2,
+    0xc2efe269, 0x9d99a957, 0xc676cd90, 0x9c30531b, 0x69f0ccf1, 0x3b1d2b74, 0xe6bbae96, 0xc58de1ad,
+    0x3f81f236, 0xe130bbdf, 0x22640da7, 0x0d6ff1a3, 0xd7cadd7a, 0x0f7350a0, 0x328d1aa4, 0xdffcf3a1,
+    0x1499bfdd, 0x044b2fbc, 0x65a8f1d8, 0xaa3532bd, 0x7d4ddf8e, 0x05fec310, 0xd62cad4c, 0xdfcdea2d,
+    0xd9454af5, 0x4820b8dc, 0x24a9db56, 0xff7146fb, 0x830e857c, 0xd1e0e56d, 0x02b91bbb, 0x7fc103ce,
+    0xf4c73b5b, 0x052848c4, 0x44a57aa5, 0xff511274, 0xceee41be, 0xf387a9de, 0x9a1abe2c, 0x944d0b63,
+    0x1b9255fa, 0xc4d121cd, 0x7009e1cc, 0x0cd49454, 0x74cd084e, 0x4fd69571, 0x1956fe64, 0x3446a4c4,
+    0x60b53acc, 0x1930b8e7, 0x07314f64, 0xff120396, 0x79909697, 0x81250b62, 0x2e9eba66, 0x5d7975af,
+    0xe82ea7c4, 0xb47d403a, 0x838777d9, 0x27ab42c1, 0x1dcf43c2, 0x95a0390a, 0xf917a705, 0x866e0da1,
+    0xd5c2d4ed, 0xd8f42d16, 0xa38ba5d5, 0x950269a8, 0x81e0c9f9, 0xd00a5a45, 0x6455f318, 0x59064ec4,
+    0xccf21913, 0x32ec2541, 0x2ebd9ade, 0x0403e8af, 0xf236e2e5, 0x35cf4042, 0x5943d372, 0xbf0b788c,
+    0x8b89654e, 0x7f7a8041, 0x35af058b, 0x69aa70c5, 0x3d01ac29, 0xcb697ce5, 0x31140a73, 0xe01839c3,
+    0x6cc6cef8, 0xe37815ed, 0x1a7878fe, 0x9a668e85, 0x11019173, 0x3a5aae08, 0x7f9f2d7f, 0x3489a93e,
+    0x58153996, 0xeee2f2eb, 0x86e38cf5, 0xf9c1699c, 0xc571dc81, 0xdc322c29, 0x72a1485a, 0xe6f8d25b,
+    0x28930483, 0x4a97490d, 0x0402084e, 0x0706f94c, 0x61f893d5, 0x6931060f, 0x8708ddd7, 0x7de1ef07,
+    0x328398a4, 0x7baa5214, 0x04980b60, 0x632c6166, 0x6708e7df, 0x205c9430, 0x69581c9e, 0xffa0c2c2,
+    0x4e85aa6c, 0x7441e632, 0x2427d9e2, 0x4aac8dd5, 0x84a506c9, 0x9f275c7e, 0xfb82b42f, 0xcb0b1f33,
+    0x9b56be76, 0x736ae1ed, 0x0904d215, 0xbc276177, 0x12a28c2e, 0xbf243aa8, 0x64d3d1f0, 0x479827c5,
+    0x93df2505, 0xf856f947, 0x21802024, 0x0304874a, 0xf7e613e6, 0x3e3c9b54, 0x714e7e0c, 0xa35c50ec,
+    0xb9f432d6, 0xfd1f4cb7, 0xf8938e98, 0x9477700c, 0xd8859526, 0xeec783fc, 0x8faefb7a, 0x10e395ca,
+    0x7a98e648, 0x032e0865, 0xae6b3d85, 0x0a602ad4, 0xaec1b1f0, 0x99660eb2, 0xd422c291, 0x24de005f,
+    0x9a81fb14, 0xe1ebebf6, 0xda74c344, 0x43a8f6c2, 0xccd17aa9, 0xe4ead7da, 0x5668c236, 0xab0bead7,
+    0xb2351c09, 0xf4825ade, 0xdf908b5d, 0xe0eb1c56, 0xdc0c8b26, 0xa6292458, 0x0dc7b4bc, 0x0f75ce2e,
+    0x4bd88c40, 0x855883c1, 0x26694066, 0xb962f484, 0xb7abaf4e, 0xf0a7116a, 0x170df1c1, 0xeeac0bad,
+    0xfc6942f3, 0xb92f6a7f, 0xab07fb5a, 0x540ffe66, 0x59eecdc4, 0xc579ddad, 0x74f220cf, 0x4a7cf3c4,
+    0x64fc6760, 0x985c02f2, 0xbcba358b, 0x49e521de, 0x4eb893ea, 0x33d95f5b, 0xac3cfc1a, 0xa0638d0b,
+    0x606e7246, 0xc1226ac4, 0x5a56e18d, 0xaf283452, 0x00827a12, 0x95331935, 0xe600e6ba, 0x6719f0b1,
+    0xb93d8265, 0x151ab680, 0x624c3c82, 0xe0bfca5a, 0x63c04ea8, 0xa6583813, 0xb2c0ff02, 0xfdf1cb36,
+    0x9a20e762, 0x69cffd05, 0x78debd65, 0xc65a2bb6, 0x9a8c647b, 0x6e33a167, 0xeac558a8, 0x1829d3fb,
+    0x8d78e992, 0xe9c35c94, 0x01b09add, 0xaeef5160, 0x3192a41c, 0x39e48512, 0xffb5aef1, 0x05d51fa4,
+    0xc74be01e, 0xb321dfb0, 0x39a6caa8, 0xc8a59bd0, 0x7fe7c05c, 0x98242f2d, 0xc1c84c35, 0x572211bc,
+    0x2ba9d1b1, 0x2a31500a, 0x602affe0, 0x16f0d712, 0x8542c108, 0x3e5bdfd5, 0xa00d76f8, 0x95aba312,
+    0xb1f5f7ba, 0xa121240c, 0x27779c84, 0x3ee9998b, 0xd4fddbf0, 0x63e884be, 0xd88d17ec, 0xaf7779d3,
+    0xd69c8d7e, 0x8a8f441d, 0xe6bbd2ce, 0xd3e289ba, 0x1ad0be11, 0xc131207f, 0x3510a17b, 0xc67bd9f7,
+    0xa6d21423, 0xf7e7323d, 0xf48fdb2c, 0x92715a8a, 0x6c1e5b35, 0xefd5a02c, 0xcad7f692, 0x95ccb04c,
+    0xe3eb466f, 0xe9200a13, 0x30306d9c, 0x5547865b, 0x69d3a778, 0x192e6305, 0xc37e6f51, 0xa4bb2eb8,
+    0x0fc0ac36, 0x48fb68bd, 0xd90573c2, 0xa96252f5, 0x729e1be8, 0x1097a59f, 0x3a96105d, 0x03db53b4,
+    0x118621f6, 0xaff6eb50, 0x15bb76ba, 0x777629bf, 0x2b69f370, 0x88d6475f, 0x17b66717, 0xa02f5357,
+    0x21bae056, 0x13909d18, 0xd15ef148, 0xa974542a, 0x42c81f23, 0x1c832437, 0x4429ad35, 0x3e48c843,
+    0xbc9873b8, 0x0960ce62, 0xcb7aab55, 0x3a14bfef, 0xd675de03, 0x9237299d, 0xecd6bcc9, 0xffc8ad3d,
+    0xe5d19759, 0x9eb46f95, 0x4651a93d, 0xa6d95a79, 0x730dadc1, 0xe6240282, 0x7e4e880d, 0xeb3c2a63,
+    0xf67d3fe1, 0xcb81aa6b, 0x342a3f56, 0xf9c024d9, 0x4a992751, 0x883c787e, 0x47760f5c, 0x61312171,
+    0x6cfcfad3, 0x23155f7c, 0x2134d1f6, 0xfdb05bf1, 0x46dd9888, 0x09d093e3, 0x11e58081, 0x9e1a7e2f,
+    0x1fbdd39e, 0x90ac82e0, 0x13914fed, 0x1c6cca86, 0x6a213eee, 0x211fd6ce, 0x133636a6, 0x4666f4a2,
+    0x39a9c580, 0x695a53ba, 0x7df1c5e4, 0x2af530cd, 0x957aea6d, 0x9509b43d, 0xc9398e5e, 0xd4c8e928,
+    0xf6dab434, 0x79ba1a6b, 0xbd9fd3b8, 0x5c757de0, 0x447de1cf, 0xed654a14, 0xfcdf6289, 0xe90a04dc,
+    0x925f0fe9, 0xbfd83ec5, 0xaa859a4d, 0x293deafc, 0x5f1f41d1, 0x8ff78057, 0x1083a5ad, 0x017cfd5c,
+    0x85081797, 0x7f2e7d31, 0xc2a81d3b, 0x6ffecede, 0x1f8011b2, 0xf0f77956, 0x758184b0, 0x46160ff4,
+    0x874a9e5a, 0xe15dda17, 0x445bef36, 0x9ab3867a, 0x8e4353b7, 0xb5b737e8, 0x188aecfa, 0x00b4f477,
+    0xd2664521, 0x7f115517, 0xaa70e912, 0xb6313e96, 0x7eaf9a52, 0x5d8a5f36, 0xd731de3c, 0xb11151e5,
+    0x06d59f48, 0xff7f9cc1, 0xfeae42e2, 0x0f084347, 0xd50a61e2, 0x4d745cc5, 0xe0457785, 0x51fe8440,
+    0xe1512bc8, 0xdfcd5e93, 0x68cc6a50, 0x6cfa6b8d, 0xb0ade5d4, 0xd740b66e, 0xfd16a26c, 0xe96c8378,
+    0x67b66976, 0x455b8320, 0x21cd8636, 0x17f47759, 0xf843e5ba, 0x1254bdbc, 0x4d6c3b03, 0x9ea9fdd6,
+    0x02725b62, 0xf579e769, 0x3d4560da, 0x297d3831, 0xfac431e5, 0x75a87212, 0x8296073a, 0x6f7f0b17,
+    0xd816f93a, 0x7225a957, 0x83e1e92f, 0x7b0bc047, 0x03bc511a, 0x923f36f7, 0x6ce48a6f, 0xec631fcf,
+    0x166f7bd4, 0x37c86a7b, 0xd3f2fb0c, 0xef532a8e, 0x74a4f438, 0x400e9be1, 0x335fa417, 0xef000878,
+    0x9d31540b, 0xa291710a, 0xea42b10a, 0x20851169, 0x14614960, 0x34f47762, 0x1d9b5e8d, 0xc08d6a28,
+    0x92b1f884, 0x1643c774, 0xcc933bb8, 0x10ad2826, 0xa46d5290, 0x429c496d, 0x0f90566c, 0xa4ae5b6c,
+    0x6d44c4fe, 0x601c4773, 0xd8a58bf4, 0xffd8f4ed, 0x606d8205, 0xb3b8f75c, 0xf6be8428, 0xa59df84e,
+    0x144ee37e, 0x355b10d9, 0x9a1416d1, 0xaed45415, 0x995871de, 0x4b24c793, 0x9de415f8, 0xf18779ce,
+    0xfa050e7f, 0x2a187cf2, 0x1e4a63fc, 0x7820ef6a, 0xf57e5126, 0x34b93569, 0x2b9e81de, 0x9c56a74c,
+    0x1b01d883, 0x8280cdfa, 0xb9b6d456, 0x0d78db4c, 0x2d0740b8, 0x76fdd3f8, 0xfb7672e9, 0x5045dbc6,
+    0xa3a8d3a1, 0x30a5c2db, 0xe1c85926, 0xa5d21554, 0xd08d9179, 0x338ac029, 0x01721bb3, 0x348f4408,
+    0xab276ad6, 0xb660cd3a, 0xe77103f9, 0xf094c93b, 0x97164781, 0x50c3398e, 0x2a9ac083, 0x1d2eb7cf,
+    0x72a5cb76, 0x6e1653d9, 0xa911c860, 0x99518d2a, 0xffa74a07, 0x161d69ea, 0xb9c43840, 0x984c3dae,
+    0x3ec66b6c, 0xc6a384d0, 0x0514c35d, 0x667b36cf, 0x9401a69a, 0xda44d1d4, 0xb0b213d9, 0x7818000d,
+    0xee388e14, 0x1f3f3c35, 0xe81db909, 0xa3b1596f, 0x1bd4a5c4, 0xda8bcbeb, 0x689386f7, 0xf752da8a,
+    0xa5822e20, 0x7aafb980, 0x2615249c, 0x3454ea05, 0x9b546c4b, 0x0e7b24b6, 0x7dbea0cb, 0xa551cf27,
+    0x6c15bec4, 0xee74aee5, 0x059779e2, 0x037c8671, 0x4c7919d2, 0x3baf09df, 0xe0ddc270, 0x32a74961,
+    0xd86608a1, 0x2fd08769, 0xb915b0b6, 0x289b4e11, 0x57306479, 0x2be6ef58, 0x46904a88, 0x9868510e,
+    0x0ae481b4, 0xab0a282e, 0x78e95695, 0x08f7a01d, 0x135d4053, 0x25ea9d6b, 0xbb50d764, 0x4c5a7fa9,
+    0xf81ce3cd, 0x0e702d94, 0xc5305a7f, 0xddaf31c4, 0x68e9479a, 0x75dee183, 0x17e19503, 0x8ff1da14,
+    0x932dc9aa, 0xf27e5bba, 0xd9330320, 0xd5cfd150, 0x2a1d50fd, 0x8029ef12, 0x2c20f502, 0x532c9066,
+    0xc255d3fa, 0x89bde6d0, 0x6f132268, 0xe3129679, 0x663826ee, 0x520bbde5, 0x22162f7e, 0x3a69faca,
+    0x83b31b0d, 0x2fa026db, 0x81655f67, 0x715aff70, 0xf190d4f9, 0x47941158, 0x7e3e0400, 0x08cce66e,
+    0x81e843ac, 0x2dfa01bc, 0x7f65c2c7, 0xd7774bc6, 0x0569ea2e, 0x357b819a, 0xd0c42580, 0xb0365c30,
+    0x8737ff1a, 0x77e4b63a, 0xa8653ad2, 0x51efa6b5, 0x817cfe19, 0x2d5fc191, 0x6a8cb1ca, 0xbcc4bb4e,
+    0x46ec81e4, 0x98dc613e, 0x1ac6f905, 0xa094d957, 0x77ad7533, 0x297b177a, 0x3fb879d0, 0x04068408,
+    0x23863af3, 0x8899cd39, 0x400977ed, 0xee5ab30b, 0xb626a558, 0x2f248b4c, 0x673933d9, 0xd263020f,
+    0x47507c85, 0x2594ba98, 0x14971c57, 0xad616c8d, 0x0f9a502f, 0x5ea1bb64, 0xd9707641, 0x4166795c,
+    0xeccc087d, 0x24ce8dc2, 0x50ac9d1b, 0xd41e5573, 0x261113f3, 0x1c4d7161, 0x27003cb8, 0x7d825f1e,
+    0x0ac8c425, 0xd81d8985, 0x310c79c3, 0xd0427710, 0xd234715e, 0x14a36f3a, 0x421f118b, 0xf20b2f3c,
+    0xbe356c80, 0x20b46259, 0x73fc7ac9, 0xb5ab12a3, 0xb6941e17, 0x33636f36, 0x4b3e0885, 0x8a545fff,
+    0x1e68d9ca, 0x07c8e01d, 0x23389a8d, 0x2c1fa8d1, 0x24a48483, 0xb37bdd90, 0x606b640a, 0x6f3b03a0,
+    0x0276083d, 0x8f6308ac, 0xab2726ea, 0xa22ce902, 0x68450b69, 0xd00d240a, 0xa825a040, 0x5d7366cf,
+    0x0abfa7bf, 0x786ea344, 0xf4163fad, 0x9f49f6b1, 0x02346bd8, 0x8c42b5ab, 0x78f4b1de, 0x87bbd406,
+    0x700355ce, 0xcff4e4c3, 0x969c0b86, 0x016d1449, 0x1e35a46c, 0x7aca1a5a, 0x18f99e8b, 0xd5d3cda7,
+    0x2d49765c, 0xe57cae42, 0x3165028e, 0x126575fb, 0xe5750b32, 0xcb2032ff, 0x31b3bdaf, 0xfdbe42aa,
+    0x8c8ae593, 0x106b3356, 0x73976193, 0x7ffd950a, 0xf9dec0cb, 0x55fdd174, 0xb35e1124, 0xe03db467,
+    0xede5cd0a, 0xed971990, 0xbe7d93f8, 0x9a9b60ba, 0x77c5dac7, 0x55549b93, 0x3c44b99f, 0x4e32f455,
+    0x5139a9dd, 0xaa4a6260, 0x75710ff9, 0xd4ac6e0d, 0x0724e8c0, 0x7112c7e5, 0x54768ad7, 0x2424279d,
+    0x63a47d11, 0x019e2a8c, 0xeda3224b, 0x7bebe686, 0xe6cfc510, 0x5774077f, 0x7c28769e, 0xb27f324f,
+    0x10794b67, 0xf63b348f, 0xb439f261, 0xb39ae79a, 0xb7d8e9d6, 0x4f702836, 0xd7a055af, 0x5fe56fbb,
+    0x54232580, 0x42542b0f, 0x23d37f86, 0x09d27148, 0x3c8e6955, 0x29112b5c, 0x08b57b93, 0x6bbe4a41,
+    0x11e386cf, 0xc8513160, 0xe6d12b3c, 0xfc971f99, 0x7f2c3dbf, 0x2006f837, 0xb45a589d, 0x117adf84,
+    0xe68f3b18, 0x3fbfdd12, 0x000aadcb, 0x622766bd, 0x797c412d, 0xccb05502, 0x9acde550, 0x74a552e3,
+    0x83ac9bb5, 0x9e4115f2, 0xcea9c339, 0x6db46c72, 0xaacfac87, 0xfbe96644, 0xa42a24a6, 0xc038ecf3,
+    0x2e17c544, 0x754ec7fb, 0xfb80f0e4, 0x04d56748, 0x97b58dd2, 0x99107ac4, 0xaab1c1be, 0x18a24211,
+    0xe990bf71, 0x30c7b499, 0x5fa2e59c, 0x1cdafbee, 0x3b2fecab, 0x500533e4, 0xae615cb7, 0xa1fe1a81,
+    0x82a7ade4, 0x733b3098, 0x2fd97cd0, 0xa73e8f9b, 0x87aa6ce5, 0x11fdcf0e, 0x49d94c17, 0xcf812840,
+    0x9cf7bb96, 0x886c7643, 0xa9f776c4, 0x86cf712a, 0x92033599, 0xc02fa640, 0x5d0dcf60, 0x4cf20d11,
+    0x72ae0f08, 0xdf4b813a, 0x6835478c, 0xa926c7fe, 0x503321f7, 0x09f6cd20, 0xe3b2430e, 0x8d30969a,
+    0xcd9120ce, 0x7205ee06, 0xfaa6488c, 0xd0e94d3d, 0x5dc996c0, 0x18cec6c0, 0x26d1af0f, 0x59c95073,
+    0x42ec2ba2, 0x4c4e8138, 0x51b34355, 0x49933a62, 0xbb482d8f, 0xa62a1f59, 0x2fcfd0fa, 0x5e4e1a98,
+    0x6b96aa48, 0x378ea77b, 0x2f9228f9, 0xc11c1ba3, 0x738ea7c1, 0xfdc779fc, 0x805fc93f, 0x0c16ff87,
+    0x5927491b, 0xb25fae9f, 0x31de3354, 0x8e859cca, 0xb8abcb5e, 0x98a06e79, 0x39e71712, 0xc8ceb36d,
+    0x0554319c, 0xa437d066, 0xff6966a2, 0x203f188f, 0xb2c727f0, 0x3aa6d8d5, 0xecdce68a, 0xed1e3d6f,
+    0x5c8f0fd3, 0x70e1130e, 0x6950b3ef, 0x9ad8f645, 0x91649cb4, 0xb7c7acf4, 0x04937e0a, 0x2644bfcf,
+    0x77c31349, 0x823a9fed, 0x8b26dfe7, 0xeb4a1fa4, 0xe888e505, 0x78815b21, 0xb6c1f3b0, 0x3c1671de,
+    0xe5e1fbbb, 0x478b9719, 0x8321eee8, 0x21f4c045, 0xe4c43b3c, 0x30c6bbeb, 0xd69ccd7f, 0xa6c16d63,
+    0x9625ea2a, 0x1ea29dff, 0x546bfec9, 0x303710d7, 0x0ef128c1, 0xf9ae05e5, 0xa5fd165c, 0xa0972a31,
+    0x13fc18b2, 0x7afb4af0, 0x5db4563d, 0x11402d17, 0x71ca85ac, 0x4bcb34e8, 0x82d089c7, 0x9f6c3c24,
+    0x25e2e88d, 0x1dedd3e7, 0xb5e7dd1c, 0xf6f9d406, 0xe70182f2, 0x5581b9f8, 0x691b8990, 0xfd3c10b3,
+    0x12ad1127, 0x6d6f1429, 0x0f6a4743, 0xa9f5ca2a, 0x504b0b5e, 0xa7367a15, 0xd0547133, 0xd8b2f86d,
+    0x4c4d681a, 0x59b6dde6, 0xa1599751, 0x03038089, 0x63c4a487, 0x58aa4cb3, 0xfa899ef0, 0xf31220ed,
+    0xb1eefe64, 0xd3db318f, 0xcd4909af, 0x58c6abb1, 0xc99ac613, 0xa2f3e5da, 0x30cf5955, 0x77052a98,
+    0x76069e9a, 0x543bdd91, 0xfa2598ec, 0x3e89ba7a, 0xdea3d24c, 0xa6cb2f79, 0x55ce3ac7, 0xfd4b55f0,
+    0x00000000,
+    0x65613f97, 0x56601d3a, 0x6ff5346b, 0x53d79423, 0xa938a5e8, 0x8b83b682, 0x42c455c1, 0xc5f335e0,
+    0xfefa30f4, 0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0x3e56cb0f,
+    0x00000000 }, /* 10**-00261871248631691349601055175746207932177331363683445183158663309447690703712\
+                          37396439066160738607233257207093473020480568073738052367083144426628220715008 */
+  { 0x00000000,
+    0x1704868c, 0xc279c8e1, 0xf98c7c5e, 0x1f1ef3db, 0xe5122449, 0xeea02b99, 0xb835324f, 0x819860c1,
+    0xd6b47a7e, 0x4e010fb9, 0xf1ace65d, 0x1bcb5510, 0x65cd8ca2, 0x4ed41614, 0x383feb52, 0x05057911,
+    0xd40c1136, 0x93f316a1, 0x90be45c4, 0x8ca5ca79, 0xbc2753ec, 0x3ccdf342, 0xa730cf71, 0x891a36dd,
+    0x83fa0981, 0x0351ace5, 0x91538991, 0xc9ce021e, 0xbd967c03, 0x249adcde, 0xe68548f5, 0xcf2e17af,
+    0x12007940, 0xba149a95, 0xb3aa9f9e, 0xc2ecdc64, 0x058e917e, 0x86829897, 0xb4048d53, 0x57b152fc,
+    0xf37eb3d1, 0x286e9238, 0x69950b69, 0x5c74f946, 0x64429986, 0xaebd19cf, 0x21c6f37e, 0x38870346,
+    0xd15df102, 0x71d90393, 0x9417321e, 0x4838ae2e, 0x454deeca, 0xd3c47dc2, 0x8164d935, 0xee4876cf,
+    0xce85af37, 0x61795153, 0xa394c3b1, 0x4b6f6cfa, 0x48f9147c, 0xd53f69a7, 0x6ecfe46c, 0xdefd7ef6,
+    0x8f7aba46, 0x503b13a8, 0x47d002f5, 0xdcf42451, 0x178506df, 0xb1efb924, 0x526322dc, 0xaeff9a1a,
+    0x6ba2bee9, 0xc47a0948, 0x26e446b5, 0x5a6d2669, 0x0886fca4, 0x1b34dc64, 0xeb125225, 0xb0bde9ce,
+    0xd5709a24, 0x2cf4384c, 0xe90dd752, 0x58a01555, 0xa1a2ea67, 0xdf58336a, 0x51432674, 0x11b8a0f0,
+    0xd105804f, 0x05d8c3b7, 0x2dfbe34d, 0xbd9bef5a, 0x9613bf8f, 0xe1078599, 0x8cb03eb0, 0xf61652ef,
+    0xef5b33f0, 0x1f0943f7, 0x945b8057, 0x22b4ed70, 0xddcd3864, 0x753f7281, 0x46525b96, 0x33635a90,
+    0x6e69fc4b, 0xdf1e1f6d, 0x16ea1936, 0x3bf5c81a, 0xf89b82b9, 0xd973c54e, 0x48d62670, 0x55610292,
+    0xd748fd82, 0x214e34a1, 0x3d9d527d, 0xdc3816b9, 0xc4afde91, 0xb454d0ed, 0x18751647, 0x93fa83ba,
+    0xdd867beb, 0x073d17d0, 0xd2243772, 0x40656ea8, 0x2da7af8c, 0x8995f201, 0x60db2136, 0x414f2f60,
+    0xbcf748f9, 0x41484cf0, 0xee8f041e, 0x54b1b727, 0x7a7361e0, 0x79e7d502, 0x96d27327, 0x0e7d73b7,
+    0xb29193f6, 0x1a05d047, 0x6b906688, 0xb5a55dce, 0xdb99566a, 0x383b7d86, 0xfc73a545, 0xf6d0b673,
+    0x17821217, 0xc916028b, 0x643dbc4c, 0x733fe76f, 0x16720a1e, 0x101341e6, 0x6f961a4c, 0x3f01c0a1,
+    0x7837d2ec, 0xd5ecd52f, 0x2d237ca6, 0x07119d57, 0x2050f1b2, 0xe3860bf6, 0x820f3765, 0x374da7f2,
+    0x957a29d8, 0x9751c252, 0x49c433a3, 0xf6c5df18, 0x66549051, 0x4e655152, 0x3edce806, 0xac2fd45b,
+    0xf26d38b2, 0xcafe1ca3, 0xcce3b930, 0x2bdc160f, 0x6ac5135b, 0x438c6e5e, 0x21efc44e, 0x9d316b8f,
+    0x0d294d6c, 0xd507851e, 0x34b13ba4, 0xef88423c, 0x2fb3b78a, 0x6067a37f, 0x29875e8b, 0xada2bad6,
+    0xccb304fb, 0x78f2aae8, 0xdc66ff83, 0x3b07b4b1, 0x5ceee98d, 0xc81e6368, 0xbbde4aab, 0xe79613ff,
+    0xb080959a, 0x0429180c, 0x5f296f9b, 0xfecba938, 0x2c7d3093, 0xcda77371, 0x15abaa10, 0x094951dd,
+    0x4fe5a042, 0xa34e5c6c, 0x2bdd2682, 0xa0da8291, 0x49cfee0f, 0x7e494755, 0x49584ffe, 0x475ed9e5,
+    0xd862ac90, 0xc3ea2119, 0xc56fd537, 0xd03864a6, 0x873a87d3, 0x1a364b26, 0x5d720e9d, 0x15e86043,
+    0x4f216b7b, 0xcc7700cd, 0x86dfd7a0, 0xa8bfa205, 0x41756594, 0xee45e218, 0x6d70fc39, 0xc65d4026,
+    0xd28263e6, 0x8fbc6dfa, 0x9c5f74a7, 0xa49c1a54, 0xbb4bc7bb, 0x12e8e95f, 0x3fbb34fe, 0x21e76c90,
+    0xb7b6ce6a, 0x84f2bdac, 0x109f53a1, 0xea017cad, 0x5450c0c1, 0x7a98d4e5, 0x59226bd3, 0xd7c93a05,
+    0xb10fcff5, 0x0e2ee96d, 0xbd45b0d4, 0x5996e9ae, 0xf56839f3, 0x0b46f3e1, 0x4e8d012e, 0xbd3743d2,
+    0x10716768, 0x77b92ab3, 0xc752d250, 0x13ecb476, 0x6be29260, 0x7c125c32, 0xa901fbe4, 0x8b4bdadb,
+    0x112c6912, 0x6c8ece55, 0xf76fb809, 0xfd006eb5, 0xcbcbf3f7, 0xea18517c, 0x36350041, 0x7d842b78,
+    0xc687cd59, 0x82f7e9bf, 0x93bf7944, 0x803346d3, 0xf346f0b9, 0xa9cd157b, 0x1ab63066, 0xfd81ed4b,
+    0x2cdd5244, 0xd3a98822, 0x146b1a85, 0x98990f37, 0x73caad91, 0x4d922a08, 0xc202fa7f, 0xd361cbea,
+    0xcdafebda, 0x1fe39977, 0xa26acf25, 0xc5693598, 0xb42e0543, 0xac770917, 0x4291a918, 0xfc172d63,
+    0x153134c5, 0x7e1e7c08, 0x55907fd0, 0xf138145a, 0xca78b2b9, 0xb17a7bd5, 0xa5cf91e0, 0xa7dfd65b,
+    0x25fc1159, 0x73b7759f, 0x6392bb5c, 0xee7857c3, 0xf3d1bf00, 0xb94699c3, 0xf99e0fca, 0xdeed23ee,
+    0x44b9d500, 0xfceb6b5f, 0xac017eb1, 0xadf61fb9, 0xc86e1a72, 0x01c21050, 0x687a7600, 0x1fb56f6a,
+    0x5033761c, 0x1ee1dedb, 0xc03cb70f, 0x63c1c075, 0xdd1c9cfc, 0xd831bb8e, 0xf4f0aea6, 0x354a3600,
+    0x5cac64ff, 0x54d97a14, 0x07e69262, 0x55724d97, 0x9a59a730, 0xa91d7fed, 0xffe2bef1, 0xb7c8382c,
+    0x91d9fe39, 0xdf88f857, 0xed2f9178, 0x2be14d16, 0x4eba520c, 0x7b2b9984, 0x89208600, 0x4b899aab,
+    0xc131aad8, 0xc257dfb9, 0x9e46356f, 0x6b438277, 0xd82076a8, 0xe910cc2b, 0xba5e4bf6, 0xad35396f,
+    0x655218a3, 0x20009491, 0x71647be0, 0x4093d777, 0xfae26809, 0x459a46b4, 0x4f002673, 0x574d7e71,
+    0x13a4d6a2, 0xfbced6a0, 0x0910c4d8, 0x35ee89ff, 0x71e8b263, 0x176bdc77, 0xacadc206, 0xf90d3fec,
+    0xc7f06d17, 0x8757e0a3, 0x040d8029, 0xa8149e81, 0x5551390f, 0x28a1f811, 0x722156a4, 0xcb863b49,
+    0x30adcaca, 0xec61f4bb, 0x958e66fc, 0xf51fa546, 0xf782370c, 0xf1d4009e, 0xea6c684b, 0x3c8696e5,
+    0xd49c40f8, 0xede41842, 0x004a3bd2, 0xbd247d98, 0xf95f03ca, 0x8445dfeb, 0x43cb5ce2, 0xcb536420,
+    0x369aaa9b, 0xa8b5198b, 0x7bebe8bd, 0x479029f6, 0xc52a3075, 0x1d9275e2, 0x04272fd8, 0x2a262c5e,
+    0x7c12d427, 0x4f5164c0, 0x2096e627, 0x26f9328c, 0x54830378, 0x102cb4ed, 0x48c7afec, 0xf2ba915a,
+    0x9eb603e8, 0x857971ff, 0x8af3f62a, 0xaababfc4, 0x9c09cce1, 0xbf621f21, 0x0c5d7d65, 0x4fb6db53,
+    0x7206a503, 0xcf4b495a, 0x2bc2d509, 0x7ffe5f4c, 0xc405d234, 0x41932fa1, 0x58c8da3a, 0xa50ffed7,
+    0xfc7ae3b7, 0x7c221afd, 0x3bd54e24, 0xf4683426, 0xee4fe229, 0x2e63b78e, 0xdc454967, 0xc71c64a2,
+    0x0ea35c0a, 0x47ffe83f, 0xc4ab4587, 0xbc4a7194, 0x7c4b1c27, 0x93e1ca4a, 0x168877a6, 0x867b1871,
+    0x4a63afe8, 0xf83f05a0, 0xfed4bac8, 0xdb6df25a, 0xb7a1e9f2, 0xb74d56e9, 0xa0641a17, 0x09506e4e,
+    0x8c5ce41f, 0xcab884bc, 0xca673a2e, 0xf25b0032, 0xe7c145ff, 0x51f90b0f, 0xe99ac92d, 0x28f12be4,
+    0x681b4d74, 0x693f88f0, 0xdc341bc4, 0x4b7b2537, 0xbc3ef38e, 0xae039b94, 0x39ece24c, 0x02c2df53,
+    0x3ae20ca2, 0xd9115aad, 0x6c17ea0d, 0xa8601506, 0x09631995, 0xe96d3b06, 0x9c0038b9, 0xf24a7562,
+    0xd7f64fe8, 0x013fd3cd, 0xf771bb2f, 0xc77fe705, 0xce00e7b0, 0xabe4f158, 0xd295113e, 0xd043c358,
+    0x7f82cfe7, 0xdd9ea25a, 0xc31ba671, 0x1462c62a, 0x0d73ad66, 0x9d2590d8, 0xfcf480b3, 0x06c53148,
+    0x5a7e3976, 0x2ea7ee5a, 0x5717e5fa, 0xe8c19721, 0xa8007ea4, 0x066473aa, 0x10148fa9, 0x915c0825,
+    0x9ce416da, 0x935b8481, 0x62b59e65, 0x00211a59, 0x4b01b8a7, 0x7a0fe8ea, 0xcafcd071, 0x257b8cf9,
+    0x39afb7fd, 0x2cfee2e5, 0x1fb27b2b, 0xcf39d189, 0x40826eba, 0x0b4421e6, 0x78badc9a, 0x338fafd3,
+    0x897f6451, 0xd50742de, 0x34794cdd, 0x3b66b426, 0x91df3ef0, 0xa33dd106, 0x485d97a6, 0x84ed3388,
+    0x3962d8df, 0x8f455cd4, 0x4da6b77c, 0x6f83f090, 0x924a913c, 0x78b07c7c, 0x57e1935a, 0x9237a4cf,
+    0x7546cbc2, 0x551a8419, 0x6e1f6d6b, 0x5e98133e, 0x3a832bee, 0x3591c57f, 0x33c9c7df, 0xa1df2552,
+    0x00262b4f, 0xdfea12ac, 0xab2f8e96, 0x9f033858, 0x9d8b8a2a, 0xdf36bd22, 0x319e35e4, 0xe2a85afb,
+    0xee3a0315, 0x107b3563, 0xd20f03e0, 0x29d66201, 0x2cee9196, 0x4e5f7395, 0xab376238, 0xd439b9e1,
+    0x3a8741de, 0xcb597a6f, 0x566e875c, 0x4af552ed, 0xe6f497c7, 0xb5ba3e5c, 0xb9a20672, 0xcf72865a,
+    0x0c54f2c0, 0x9b623de5, 0xb2066b78, 0x1bed3d1f, 0xf6673b13, 0xa1b40dcf, 0x665f3ad5, 0x8fde21e3,
+    0xd88537e8, 0x5ac48b73, 0x2506d59d, 0x4a6347bb, 0x7de97161, 0x75f7ca66, 0x376b127b, 0x3b73e3e1,
+    0x4ff14274, 0x1df1a05e, 0x5b76e850, 0x0be8d622, 0xe5974b91, 0x5c287665, 0x273d223a, 0x80a0a479,
+    0xdf0a5a0e, 0x76d4c36f, 0xd80017f2, 0x25004d44, 0x53ef5a92, 0x82bfd567, 0x1d4d48df, 0xd9668478,
+    0x1faa7927, 0x6c017cd5, 0x2111c944, 0x19780467, 0x35ae7c04, 0x56f82e72, 0xb140d453, 0x51e3d28f,
+    0x36a75d39, 0x4ae54074, 0x040ac5c0, 0xb14a2ea6, 0xc8d96c7c, 0xda223f54, 0x6cb261a0, 0x37ba8d87,
+    0x17c17774, 0xf5b9b10a, 0xa5184172, 0x0772140b, 0x67e5c899, 0x2b5437f5, 0xf6a81ef1, 0x978793e4,
+    0x997374e3, 0x0eae76b5, 0xe7751109, 0x45a106b8, 0xc424d31e, 0xa8cac49a, 0xe9afffc8, 0xe2b557bd,
+    0xfc71b12e, 0x7312095b, 0xf511f688, 0xb34eabae, 0x7fb96d64, 0x4448acf3, 0x5a0e4f9d, 0x642562f6,
+    0xd3a1d4cb, 0x481e3298, 0xdab33e63, 0xb84fc263, 0xe7d65c50, 0x48c547d1, 0x8e98a521, 0x4a635cad,
+    0x2868d719, 0xea4d4514, 0x84d26ef1, 0x45286157, 0x408e4ce4, 0xdf9fdbcd, 0x8531cbc6, 0x36e873ff,
+    0x8aef259a, 0x31701cfb, 0x836af657, 0x62af4255, 0x1188b7da, 0x1fb7f73c, 0xca70c46f, 0xf107935b,
+    0xbb272714, 0x0780c9df, 0x2e937a09, 0x8ddad390, 0x1c3701bf, 0x9e1438a7, 0x462f24c7, 0x2c4d8aee,
+    0xf74ebecb, 0x2588acb8, 0x64a55d9f, 0x3a9b80e6, 0xa0b60290, 0xf03b1aa0, 0xd92d4b0c, 0x1ff90a86,
+    0xfef11a40, 0x361df7f6, 0x9fa5a981, 0xcc04db6c, 0xe4d32c82, 0xc71c66a0, 0xd2bcb03c, 0x1c65d911,
+    0x71dc9eae, 0x611159ab, 0xa28009cb, 0xb4f700ba, 0xb3396445, 0x3bb7f2e5, 0x68fae487, 0xd7041643,
+    0x3ce6ada4, 0xa4c90e1f, 0x15ba8389, 0x94ce0dbd, 0xc39cb2ef, 0x2878ac4f, 0x62627c26, 0x0870d9b5,
+    0xca5e810a, 0xd125d5cb, 0x3fec6adb, 0xfa052ea2, 0x89060a72, 0xfb513475, 0x3f78b8e3, 0x72b0a170,
+    0xfc01157e, 0x98472645, 0xc3858b0d, 0x9e9e5604, 0x76e54653, 0x5474cabb, 0x0566844e, 0x5b12a8f0,
+    0xfb462826, 0xe213006b, 0xca840a1f, 0x6db82c85, 0xd21ed76b, 0x7a5cc397, 0x9cc3180f, 0x4a3067ec,
+    0xd09456b3, 0xbd33b536, 0xe965112d, 0xad324f2b, 0xbe6459ea, 0x183d5993, 0x6c83728f, 0x8bb78c6c,
+    0x5feaec70, 0x20f30034, 0x443f0bbe, 0x9e90c7bd, 0xb1e3e85a, 0xfdd08ab7, 0x3ffecfd5, 0x2c1b5d0e,
+    0x9e084909, 0x866a0884, 0xecf7bed3, 0xfd3582fc, 0xae4e377f, 0xfbf9869a, 0x4e1ef6a7, 0x5c9e29eb,
+    0x5ab16e97, 0xe2504f46, 0x9804afe2, 0x3bde17a5, 0x8dfc6891, 0x4a0ed4e7, 0xb6e715b5, 0x3de92bf9,
+    0xf2305e73, 0xa6b310d8, 0x7f963ed3, 0x00a713d4, 0xec7a60ce, 0x4f1dec37, 0x91874e21, 0x3c3ede20,
+    0xa4dd2e07, 0x4564cb8d, 0xf887a853, 0xf475fdcc, 0xa7f91105, 0xac81823b, 0x3d68a73a, 0xbdc7fba5,
+    0x875e332a, 0x4f5c1c2d, 0x172296e1, 0xe03bb56f, 0x50ff132e, 0x80779263, 0xb44ea184, 0x420b128c,
+    0x86ee5a7b, 0x7d5b6a99, 0x9baed5b2, 0xda5606d4, 0xccf20043, 0x3e566a44, 0x7e555f5e, 0x882e9162,
+    0x62b85dcd, 0x5ab4c75d, 0xd16d7b7a, 0xf5bd3a60, 0x257b59ec, 0xe7806d29, 0x8d0c0bf9, 0x93cdec1e,
+    0x5f1625b7, 0x4939cb68, 0x79d6364c, 0x158ff4fd, 0x8d66d229, 0x0ea103a2, 0x66ea1267, 0xbc918ec5,
+    0xb435d89e, 0x20a00b42, 0x8db21d61, 0x3ee3e026, 0x33e401e8, 0x5065e185, 0x79feae58, 0xc5d4f886,
+    0x946a5caa, 0xc47c395b, 0xe02098d9, 0x0f6d7844, 0xa2298a97, 0x58d12c2d, 0x695b4e3c, 0x841f1da9,
+    0xe2730d2a, 0x2af5cda5, 0x83fe557e, 0x678acd39, 0x19045626, 0xbac914ba, 0x07f992c7, 0xf5762b10,
+    0x7d6c71a9, 0xf225477d, 0x0fef1899, 0xe45ed84a, 0x34670d55, 0x61d101d6, 0xed3d725f, 0x6ba9602b,
+    0xfff695db, 0x97e634e6, 0x926b186c, 0x8abcf112, 0x45a632a7, 0xee49d12b, 0xfeed7b72, 0xd79e9f0e,
+    0x68b525fb, 0xcc72d593, 0xb1ae591f, 0x14dcc0fb, 0x7e5ad254, 0x95e99899, 0x1d2ea75c, 0x96a94232,
+    0xcbf18e14, 0x2dbd2636, 0xd525a971, 0x98040f84, 0x47766358, 0x227f5e03, 0x6bf8831a, 0x496fd8de,
+    0x022c3b09, 0x65e1e127, 0x49309180, 0x080ebc8a, 0x6c10227b, 0xf846ec90, 0xd76e22f9, 0x2a446513,
+    0x8fd3c1c3, 0xb5154508, 0xd6643648, 0xcf6f3b05, 0x261bf940, 0x74deb525, 0x43c32f19, 0x9f2d1237,
+    0x0181e0fe, 0x43f001e2, 0xf1afc2e6, 0xc09711eb, 0x2bce70f6, 0xdf69d010, 0xf590237b, 0xbe0d218e,
+    0x4c07b19d, 0x0314f108, 0xe029af1c, 0x85938d54, 0x022639fd, 0xd802ee95, 0x3aabab21, 0x1ef07e94,
+    0x06fee652, 0x7b188776, 0x49a9be4f, 0x609aa097, 0x745831bc, 0x4abb426a, 0x5721d3d0, 0x8ca3af7a,
+    0x42e11b34, 0xe67bbffc, 0xc90a32d7, 0xafbebceb, 0x1128bb44, 0x8261d69a, 0x6185e35d, 0x73853f1b,
+    0x620c9d72, 0xeb0cfa55, 0xd03b8835, 0x8659867d, 0xd920a973, 0xf6ab0bea, 0x347ea454, 0x7d9bd037,
+    0x133ee01a, 0x999be7e8, 0x403e1252, 0x8c3bdfb1, 0x660f6cee, 0xc25797bb, 0xacf2f91a, 0x57ea61dc,
+    0x3794e2e4, 0x6cd1d891, 0x8d3db54e, 0x83e62272, 0xfcf600e4, 0xd65c616c, 0x4e8abf29, 0xf24bdce8,
+    0x5bbed82c, 0x474d7c85, 0xccbef130, 0x542739cd, 0xaab175a6, 0xc3882e06, 0x6921fa98, 0xe7008ba1,
+    0x97e4c2b3, 0x933bc0a3, 0xd652eb55, 0x7e33cf35, 0x86869506, 0x07e83a03, 0x307d83bf, 0xe58b898b,
+    0xb606eea0, 0x2edd132b, 0x8051cab7, 0x35d0caee, 0xa0053e81, 0x1c689642, 0x7fe62445, 0x2df852fe,
+    0xcc2ee9e1, 0x4558eee1, 0x8a2ee8c7, 0xfe7360f7, 0x50f295af, 0x5771b405, 0xd8b27011, 0x948c4efe,
+    0xfeae3acb, 0xf8c4127d, 0xae4ad7aa, 0x5165bc77, 0x519c7be3, 0x301c1164, 0x206d0114, 0xe1f23461,
+    0x7783dd90, 0xf9bc846e, 0x8d0accba, 0xd858b160, 0x116cc1a8, 0xa487892c, 0xb9f5f6ae, 0x58783d6c,
+    0xef29b17b, 0xaf9acdcb, 0xc235920c, 0x28b074b5, 0xe8ffe18b, 0x1f2216f9, 0x9ae99280, 0x341266f2,
+    0xe10879b9, 0xde0963b5, 0x477529a2, 0x751034c0, 0xc96900db, 0x9c3f9858, 0x6cc7efaa, 0x69781461,
+    0xb519700e, 0x17b82ccd, 0x50f2e470, 0xb10fd5f5, 0xf3273f8f, 0x9c60a889, 0x9b76467b, 0x7eb906ae,
+    0x18d869b5, 0xb5e12592, 0x52a7c679, 0x91b327c7, 0x86956997, 0x61f9ad7a, 0x28f442a1, 0xd600bfbf,
+    0x0bf484cb, 0x49ecffd3, 0x2118df27, 0xcd63d667, 0xc377f411, 0x7fd4da9f, 0x3136138b, 0xb40f67da,
+    0x00000000,
+    0x32b09fcb, 0xab300e9d, 0xb7fa9a35, 0x29ebca11, 0x549c52f4, 0xc5c1db41, 0x21622ae0, 0x62f99af0,
+    0x7f7d187a, 0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0x3f2b6587,
+    0x00000000 }, /* 10**-00130935624315845674800527587873103966088665681841722591579331654723845351856\
+                          18698219533080369303616628603546736510240284036869026183541572213314110357504 */
+  { 0x00000000,
+    0x393b54c2, 0x187eb431, 0x3b099b1c, 0xbace7b9e, 0x5ac0717a, 0xe80cc044, 0x219e441e, 0x50d93ce3,
+    0xc02beff5, 0x156a8550, 0xabcc33c8, 0x0cfe6146, 0xd0b8bdfb, 0xa766061f, 0xd3347779, 0xdd48612a,
+    0xc1115a31, 0x7ed0082b, 0xdcd847c9, 0x62ced49a, 0xe0acbb8b, 0xac37289d, 0xfd5fb1d3, 0xa3dbeb93,
+    0xdc3507fa, 0xba9831b4, 0x0ae6bd38, 0x5c8b4092, 0xed7a1a10, 0xbf3e43b3, 0xafd4292b, 0x0c5dd084,
+    0x757a9944, 0x944b5982, 0xab3180be, 0x1b9f25ad, 0x2698b40d, 0xa0d0a49f, 0xb5a7d891, 0xf5bdb403,
+    0x62504936, 0xcc725db3, 0xbfe47b31, 0xd4d78710, 0xc4d34d5f, 0x3a7d3740, 0xf7d6093b, 0x14a485bd,
+    0x637ef513, 0x4360a4cb, 0x4e989a8d, 0xb60efdf7, 0x85c7d34a, 0x00e0a506, 0xf971e041, 0x9d908c2b,
+    0xfdc40b33, 0x5e74e090, 0x2698fe7c, 0x3ba9b356, 0xc189d7d1, 0xa59a674d, 0xd03b3b33, 0x3049333f,
+    0x560ea23a, 0xde89e643, 0xda937d46, 0x1b56b39a, 0xa4560fb5, 0xc20941d4, 0x93c4140f, 0xd0084a14,
+    0xeb18b9a5, 0x8b653e63, 0x2c50718f, 0x1e4a4444, 0x3cafde9a, 0xab46d726, 0xdf04695f, 0x6a86b223,
+    0x229dc929, 0xc6038e92, 0x65bf97ba, 0xa79d5a38, 0x2d6c0d17, 0x6fa984b9, 0xe4bf4dfe, 0xd908ba6b,
+    0x41efd109, 0x876bf7b2, 0x639ac9ce, 0x79ac2c47, 0xcde8a141, 0x458f0587, 0x7efea376, 0x85089d9e,
+    0xb263b9b9, 0x03d82108, 0xd598f02b, 0x988e5dfd, 0x79099044, 0x611d04eb, 0x2ec97a8d, 0x663f01bf,
+    0xb5e42974, 0xe2e0cfd4, 0xa12b05ea, 0x15afef23, 0xa45f8015, 0x02d61be7, 0x75b1415e, 0x95ef2a36,
+    0x7ce646a3, 0x6a8ac774, 0x478d1c2d, 0x055089f1, 0xeb766283, 0x2721a680, 0xceda353e, 0x17bd941d,
+    0x9059f7f5, 0x2ec438c3, 0x823855a9, 0xa3457047, 0x8e501ada, 0xf39d739d, 0xb44ba3dd, 0xb2b36340,
+    0xb74fbe47, 0x7ea4904a, 0x034ad194, 0x85035d70, 0xaea4289f, 0x36e71a19, 0xf958ff08, 0xb4d7b307,
+    0xc6d34db6, 0x5f8592a9, 0x2cc350ce, 0xd8eef9f7, 0x19528a73, 0x424f8f9c, 0xa49583f2, 0xb6f39624,
+    0x36a371bd, 0x627a7164, 0x71b5cf09, 0x1c092b7c, 0xe6676a07, 0x02949735, 0x16517466, 0x9390e442,
+    0x32ad3f20, 0x9f1f9f68, 0xe8d30bea, 0x2b57dc7d, 0x3740e5fc, 0x49b11a77, 0x0dc88859, 0x03a233a2,
+    0x739a2ad2, 0xca4ea350, 0x7f52af6d, 0x92faeb4d, 0x11bf19ad, 0x0204ad39, 0xb9088bac, 0x5bf6adfd,
+    0xff2b4657, 0x5b628b0e, 0xa656ab0c, 0x72174345, 0x8bf5e4a0, 0x072e8817, 0x37edb89d, 0x0cc6bcfe,
+    0xbf1eece8, 0xfb25301e, 0xeea2a451, 0x3cd84720, 0x988dcf8e, 0x33a68166, 0xb5dae350, 0x585eb532,
+    0xb455442d, 0xdd0a8e61, 0xfb3c3e0a, 0xe4a236c8, 0x25c9f337, 0xe13e34a5, 0x737c43c4, 0xbd47eb46,
+    0xe5126fd7, 0x2dc717e7, 0x5e7c65c7, 0x5e30f644, 0x57113eeb, 0x95856fc6, 0x152f5833, 0x2b8a630c,
+    0xf36519f7, 0x49a287bc, 0x58d200be, 0x767f9693, 0x47e7203b, 0xe7733008, 0x1f7ec0a9, 0x6f206b31,
+    0x1dbdf752, 0xb775b30d, 0x11bdc194, 0x5bfc905d, 0xb1e1aeb0, 0x62e83646, 0xddcaf42a, 0x7c305486,
+    0x9810da86, 0xe6b07fc6, 0xa2028cd1, 0x501f4570, 0xbceb8663, 0xb84321ae, 0xb8e7d7df, 0x5996b945,
+    0x36845d55, 0x23dfbce0, 0xd1233070, 0xc05cb4cb, 0xe98d1eb3, 0x6703e467, 0x69eb3eef, 0xa6539478,
+    0x842477f5, 0x72b6b51b, 0xafe6cdd7, 0xda7ae7af, 0x1cf5f742, 0x0631b541, 0xc830fd14, 0x1a512d93,
+    0xda1c3c92, 0x0f82f2a7, 0xd6b7d147, 0xf12ebe11, 0xf6b13132, 0x82986eb6, 0x371382b4, 0x0a1e42e4,
+    0x8d17776d, 0x6fb559ca, 0xf0117db5, 0xbfde21e9, 0x5c76a990, 0x2cf6f4aa, 0xa6c9dfc9, 0x9cdc864e,
+    0xd5b7ce72, 0x6e829c5c, 0x6405f6b4, 0xe395f37f, 0x77ea4bdf, 0xbdb67b71, 0x2fddf537, 0x2024dadc,
+    0x9b15badc, 0x78dafdc1, 0x0584924d, 0x4ad3b723, 0xc5612ba5, 0xf0a1bc15, 0x9f700005, 0x5ff981d4,
+    0xf4572a8b, 0xefd7543c, 0x5422bc99, 0x1689ac44, 0x5303b994, 0x1af85b7f, 0xe906586f, 0xd88aaf54,
+    0x6842df9d, 0x056f38fd, 0xcd31a801, 0xc5470533, 0x4ceb85e7, 0xbb3266b5, 0x6c8919ec, 0x0724099d,
+    0x4590f833, 0xd7057b6b, 0xc7bcbab7, 0xd1045950, 0x7a3184b6, 0x71a00b68, 0xc19c85dd, 0x651f3acc,
+    0xd7cf8092, 0x0e615320, 0xef5dbb43, 0x6b48e713, 0x18ef7ab7, 0x51524a5d, 0x76e78309, 0xd6db4f05,
+    0x4cd7bb1b, 0xec8a5803, 0x9dbe2b82, 0x5b80cdec, 0x8e0fb747, 0x66780014, 0x298d5765, 0x96e0e0f4,
+    0x4515e65b, 0x9bfbf572, 0x5f7feeb9, 0x18050e60, 0x102a2e60, 0x023dc718, 0x3c59af33, 0xb5b5666b,
+    0xb9adc555, 0x3974ca12, 0x117b5624, 0x2e80d716, 0xd6780b7d, 0x57458042, 0xddf39426, 0x778dc3aa,
+    0x9e87769a, 0xbf6ce815, 0x6fa437ca, 0x0bed9b4d, 0x6b927c27, 0xf9db2a71, 0x1a2485a3, 0x5aeaf513,
+    0xd5bd4334, 0x219bfd82, 0x30b8c4ff, 0x3976002e, 0xfec191e7, 0x6c501837, 0xf7e3db4c, 0xfdba7efc,
+    0x736817c2, 0xd8f976bf, 0xd73e232a, 0x8cb469c6, 0xc4b5fa54, 0x3c73565b, 0xd12127ef, 0x88920161,
+    0xc57fe0ca, 0x94f657b8, 0x8f84fefa, 0xf2f1f6c3, 0xf8ade799, 0xc792bb4a, 0x6b10ca91, 0x6c219be0,
+    0x1f5c8025, 0x976355b3, 0xa26534f5, 0xcd674682, 0x81a4f397, 0xd09d19cc, 0x6d8c7f83, 0x38382610,
+    0x6024c50f, 0x2439a5b5, 0x5dd5633d, 0xa4e49e0a, 0xcf15db3f, 0x2efb7a9b, 0xd9351497, 0xa282240f,
+    0x76e24f49, 0x6136bfec, 0x3fe1092a, 0xf1605d9f, 0xbfe8afda, 0xe96e194f, 0xc549c01c, 0xe5763ab6,
+    0x6eaa741f, 0x6bd0f5ba, 0x7b2365be, 0xdd9ec63e, 0x1a0148c0, 0x57ad9912, 0x3103b9d8, 0x22183783,
+    0x7f711e50, 0x084ff209, 0x216f40a4, 0x0f251f0b, 0x3512e586, 0x50d3af97, 0x350ba256, 0x903a8c46,
+    0x472b4838, 0x5e25a4c7, 0xaab55b89, 0xbf97b1fa, 0x84b5f94f, 0x8120c4c9, 0x256ee5a1, 0xa7a046f5,
+    0xa02c0b1b, 0xaca5e131, 0x879fc0d1, 0x650c6a0e, 0x00722e2d, 0xcf76e469, 0x9cee2d02, 0xb4b2ae31,
+    0x737b9f9c, 0x6db7c72d, 0xd35626e1, 0xb917190e, 0xef9df501, 0xa078f305, 0x06ff0799, 0x8828cd18,
+    0xded3be60, 0xb11527a5, 0x2a2e147a, 0x0601f695, 0x55ec6e51, 0x6e411798, 0x51f3c288, 0xf6b088fa,
+    0x52bb6898, 0xabe84e5b, 0xf764a836, 0xd2cae31e, 0xc118f0af, 0xa669c58e, 0xffca63ce, 0xb61eb776,
+    0xb454975c, 0xbf5999b2, 0xc6b1ea4c, 0x5b0ff905, 0x75cc726e, 0x2d8cf5c9, 0x03c1357b, 0xae99d3de,
+    0x0df84d20, 0xd20f043b, 0xd95dda12, 0x6602da4b, 0xc21e4d8b, 0x096c1d66, 0xecff3bda, 0x69710f90,
+    0xb706a35e, 0x7d70cdd8, 0xcde0d190, 0x25b63b24, 0x20c26b04, 0x6d1d5c8c, 0xd9173d63, 0xe4e9f8c4,
+    0xfb35a02f, 0x34bfcc38, 0x36de1b65, 0x09b644af, 0xf00a49f4, 0x1e59c1fe, 0x07294f80, 0x354adf32,
+    0x0d6bea35, 0x39df59a1, 0x9db2f56c, 0xaa4a5552, 0x8906e7cc, 0xc38cad6a, 0x15d3d295, 0xc42feeca,
+    0x023bb7d1, 0xf75d335d, 0xe19c496b, 0xaea2c0b4, 0x8e1a63ab, 0x76cc4061, 0xb119a985, 0x78061ad5,
+    0x04be11a4, 0xda8b3904, 0xe65d98b3, 0x10b7697f, 0x8c2a2487, 0x9fda85f0, 0xcb6301f8, 0x3a07080e,
+    0xf468520d, 0x1685684b, 0x35d9461c, 0x238d39c0, 0x7d679013, 0x78060467, 0xefcc7007, 0x874210f2,
+    0x3286c21b, 0x83d297bc, 0x70e5dec4, 0x19640bbf, 0x45f178fc, 0x60aeab2d, 0x75dafc5c, 0xad5c2d34,
+    0x88058407, 0x4ddcaac8, 0x6cd9104e, 0x00776a02, 0xfe3bd5f7, 0x70167adb, 0xfe41627e, 0x6f567afc,
+    0x211b36fa, 0x63ff1260, 0x0a19e099, 0x32d1f0f3, 0xea4b0a6b, 0x2c059e44, 0xc7de5989, 0x5b44f0ff,
+    0x4f05b58a, 0x5893ef76, 0xb71c5772, 0x42e2a152, 0x236f1ebb, 0x47f092a4, 0x66a489c0, 0xe3d421a3,
+    0x747931e8, 0xb5b3db99, 0x4edab17a, 0x840bd2be, 0x8786abb3, 0x7f3981b3, 0xbff0cbe2, 0x0dfa3e85,
+    0xacd8147e, 0x354e2797, 0x9d7564fa, 0x42465784, 0x07feb01c, 0x54e4d208, 0xc258cc49, 0xa417cfc7,
+    0xde0698d1, 0x1d0eeaa5, 0xbf2629b3, 0x498fb6d0, 0x1a4784e8, 0xd7f5f9cf, 0x1e71d67e, 0x284cd243,
+    0xdbf76f5d, 0xd7077615, 0x9d873066, 0xf23d88e3, 0x81dc1463, 0x6c6b1e6d, 0x9adadf9c, 0xefdcd201,
+    0x419a1cb3, 0xce0fa714, 0x9b2fdc0c, 0xe88bb29b, 0xef5bde62, 0x86cbc0c0, 0xb6aa122f, 0x517cc354,
+    0x4c133119, 0xb684d157, 0x507ee6cc, 0x3116d4fd, 0xc802bbd3, 0xff98249b, 0x287bc42f, 0xd90b69db,
+    0xa87327ec, 0x6a0351b1, 0x238a53e9, 0xb0a89bf9, 0x1f0a0b81, 0xea82ec8c, 0x6d09178a, 0x4e2a0342,
+    0x6783d2ab, 0xc8cd0c52, 0x9ff92797, 0x57a03eee, 0x82c618ae, 0x63a425d8, 0x3cef159c, 0x0fc6f8cd,
+    0xac2ad84d, 0x39f14bf3, 0x87ee9cb7, 0x005d6b3d, 0x63f8e81e, 0x80a3a38d, 0xe870579d, 0x8d17a7b2,
+    0x5388af15, 0x28fa676d, 0xbff6162d, 0xd31934b4, 0xa84c2a76, 0x2a98f01b, 0xb8c80710, 0x1a394ce3,
+    0x7b7111cb, 0x2679d8e9, 0x672afcbf, 0xd53428e1, 0xbd9ff471, 0xdf32b4d3, 0x8b00782f, 0x5b253653,
+    0x1df54ad2, 0xa713f7c0, 0x38cdc4c0, 0x258792b5, 0xee017571, 0x466059f5, 0x338b0c43, 0x0bf042bb,
+    0xff1dc65d, 0xd41b556e, 0x5553bdc2, 0xcd5e705f, 0x16bae1f7, 0x7b960110, 0x4984e21c, 0x4bd18b28,
+    0xfe8bca67, 0xe7450d4c, 0x846b86c3, 0xa2b7e8e9, 0xc702c165, 0xaf3afdcb, 0x21e09253, 0x6025181b,
+    0xd1fa9cbd, 0x6732db19, 0x9c7398da, 0x3f81c7d9, 0x3edf81a4, 0xe0df16fc, 0x540bffe1, 0x1f252bd2,
+    0xd2aef9ea, 0xfc8463ea, 0x86ae16a4, 0xd611f1d2, 0xdeee6912, 0x3ea42d38, 0x02390925, 0x404d41b6,
+    0x76e16bde, 0xa4bf1a63, 0xab84c42e, 0xf5309575, 0xac3adc1c, 0xa4cb90e3, 0xd54a0b87, 0x8bd4f96e,
+    0x891481ec, 0xea11c692, 0x4aeb3839, 0x03154636, 0x939fb59e, 0xe7a47a73, 0x12b17ccb, 0xe0ab292c,
+    0x9cf506e4, 0xbe59f8df, 0x2d6d1f07, 0x4031ae44, 0x43da62ca, 0xf68b3bba, 0xbd9ba85d, 0xffd2a5cf,
+    0x6336bcc1, 0x479164d5, 0x1647b435, 0xe435d682, 0x5bf499fc, 0x3d994e34, 0x229f70f7, 0x77eb9b84,
+    0x1f2edbd5, 0x802c14d6, 0x40458992, 0x30625547, 0x784d7c09, 0xdd6c59d0, 0x9abf808b, 0xc5dfc671,
+    0x04019386, 0xa4de9614, 0x718ab0ba, 0x773a6355, 0xf797afb8, 0x38e8ead4, 0xd38d6f9f, 0x522002b3,
+    0xfd67c3c5, 0xb03f24ad, 0xdaa12eae, 0x70861851, 0x34064ade, 0x8a779042, 0xc6e1b833, 0xe4d4fcb1,
+    0x93f1a850, 0x0652103a, 0x2059a04c, 0x2a0cc53c, 0xf79c23d8, 0x87b380d5, 0xf789dc3e, 0x9238d1a1,
+    0x61318ddf, 0xf2b13ec9, 0xe3589d37, 0xd8384cd4, 0xe8aa3a85, 0x25c6d992, 0x0423970f, 0xb9017915,
+    0xc56b5bd5, 0x2bf17495, 0x02622255, 0xeeff92c3, 0x39416480, 0x8acb1418, 0x36fa502e, 0xed11f288,
+    0x6dc907f1, 0x4581177f, 0x6dc50645, 0x3c0f02d8, 0x451f09fc, 0x89647d47, 0x6b0f05f2, 0x623800c7,
+    0xae1aafa9, 0x659fe246, 0x5089f6ee, 0x6eccc3f7, 0x350cffde, 0xa1a3aa99, 0x2a812c44, 0x0a2bd8ec,
+    0xa315e707, 0x44d22b0a, 0xfb7a03ce, 0xc13bb387, 0xd56d78eb, 0xb2aa0df9, 0xd5c5f740, 0x088541ee,
+    0x031b69ff, 0xf963ca69, 0x6c9f5c64, 0x6809f57a, 0x9aae80ff, 0x4facbe6c, 0x237f42f2, 0xa6e1df4e,
+    0xd43529cd, 0xfa74f5a1, 0x21d6e37f, 0x9aab8820, 0xb6dd8199, 0x0d86b844, 0xd9967fb1, 0xf9e14880,
+    0x7b7861bc, 0x8b45c241, 0x10f14ad7, 0x5ea6d456, 0x41ce6bb0, 0xb0c52acf, 0xec687f99, 0xf4f26027,
+    0x63ec7e76, 0x7f7957d3, 0x46d3155d, 0xb9e62adf, 0xb6255e8e, 0xf1c398a8, 0x14f92ffc, 0x2602f510,
+    0x9daa8a0a, 0x50c3a048, 0xa4f092bb, 0xcf882b57, 0xc9f68e33, 0xc8f334f2, 0x219d69b9, 0xcdf58a12,
+    0x0151f8f1, 0xa9a55efb, 0x8c75ab68, 0x187f5536, 0xc3576382, 0x551a07e4, 0x98cc4bd7, 0xd23de8e6,
+    0x2e4c211c, 0xc9461f0e, 0x5347ccd2, 0x575cfc75, 0x88452bba, 0xa77040ee, 0x599d29b0, 0xfa7353e3,
+    0xae97d981, 0xb932bd5c, 0xee788ef7, 0x1bf77cf8, 0xd3df91e0, 0x70afee2d, 0x5ef7c4d0, 0xd0b02803,
+    0xa2828af0, 0x2c11a6c0, 0xeac408dd, 0xa15ba9f3, 0x345fa667, 0x496d4a9a, 0x9b5ed665, 0x9f9b6b14,
+    0x73df4d15, 0xf40a9b1c, 0x4bd81f9d, 0x907ec740, 0xa0b8b416, 0xe230bf49, 0x7abfdbab, 0x3acee58f,
+    0xff69a596, 0x1dbc1ca5, 0xaf707b7d, 0x8c955ce2, 0xa7b704ba, 0x834f42cb, 0x87c00c6e, 0xca40d263,
+    0x674f0bcb, 0x00eb4851, 0xab32d5ab, 0xd0b50a8c, 0x0c762abd, 0xe91fd430, 0x184dfe5b, 0x10572512,
+    0x99c5324f, 0xad1db9ff, 0xa8cbd270, 0x6e1564bd, 0xaa1d60d9, 0xe09e6ea2, 0x2528d31f, 0x7c0ad5c3,
+    0xb49aeac0, 0xa35a8a51, 0xd8354f3c, 0x8ed30c28, 0x6496efe8, 0xf3fa4bec, 0x44f4ad6a, 0xc167d03a,
+    0xa6884ed0, 0x49c59b94, 0x5cfccf33, 0x0c659f2b, 0xe6adea44, 0x5fe09b36, 0x748f1886, 0xb3d75f65,
+    0xdc971d7a, 0x77e5130f, 0x2440cb82, 0x302a67bd, 0x717444fd, 0xbae282d3, 0x987da795, 0x0ae9d46d,
+    0xe1e00303, 0x3b23e231, 0x6203716d, 0x750fa447, 0xe00637e2, 0x134d921a, 0xb6ecb354, 0x5e29752e,
+    0x88bf70cd, 0xaca1d6d7, 0xe9402cbc, 0x5ebb9c68, 0x2c3a30a8, 0x1b2e943b, 0x7f149459, 0x914ed97b,
+    0xfffb2c0e, 0x612401af, 0x494fda34, 0x6cdd8213, 0x8d49a6ab, 0xa64586cf, 0x544ca3a3, 0x291e2639,
+    0x35934852, 0xd3a93b24, 0x05f1c772, 0x7bbb116a, 0xb276dd31, 0x7a4416ea, 0x878a6dbd, 0x518a89cc,
+    0xa2c27950, 0xb931211e, 0xdb526ca9, 0xccf5e215, 0xca3adc75, 0xa072320e, 0x9144a681, 0x29593370,
+    0x6091a995, 0x8a79e023, 0xf9889acb, 0x63c98bda, 0x65b8ea66, 0x4adf3d2c, 0x419b46a8, 0x28441ae6,
+    0xcd573e4b, 0xb57c83f2, 0x78509848, 0x5989784b, 0x9a7cd919, 0x72d44c2a, 0xc8b09134, 0x754df3b9,
+    0xfdc352a3, 0x4076fbd4, 0xeb934821, 0x23ea3c70, 0x4a88a5f9, 0x2e92c7b2, 0x0df64e0f, 0x83f7fed1,
+    0x1c4ace73, 0xc46294a8, 0x33fefa6c, 0xd106a98f, 0x80ae75c8, 0xce1c87f5, 0x83687ff1, 0xa1d562c8,
+    0x038a6d00, 0xb84f2ec4, 0x331dde99, 0x9f75b917, 0x432e5e05, 0x5f03a191, 0x4e736b2c, 0xa851aad3,
+    0xd3032ed1, 0x9ce61da7, 0xc0096c3d, 0x4d9df0d1, 0x25646166, 0xe2458e54, 0x60284982, 0xcff83990,
+    0x8fee1738, 0x972e70b6, 0x0357d16c, 0x9b8ea883, 0x80e500ac, 0x41a9e092, 0xa2a16afe, 0x43c73f66,
+    0xda14fd76, 0x16ffe6f8, 0xb7c4fe31, 0x2e7d9f3b, 0x68ec7870, 0x3dd80092, 0x0de25451, 0x0ca5360a,
+    0x24a42b2e, 0x10fbca91, 0x36e7ef9c, 0xc00e3787, 0x0013c309, 0xab9af94e, 0x52ecbe3b, 0x97d0901d,
+    0x00000000,
+    0x99584fe5, 0xd598074e, 0xdbfd4d1a, 0x14f5e508, 0xaa4e297a, 0x62e0eda0, 0x10b11570, 0x317ccd78,
+    0xbfbe8c3d, 0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0x3f95b2c3,
+    0x00000000 }, /* 10**-00065467812157922837400263793936551983044332840920861295789665827361922675928\
+                          09349109766540184651808314301773368255120142018434513091770786106657055178752 */
+  { 0x00000000,
+    0xebdc3865, 0xfef0c457, 0xc0311db5, 0x8cd6eb42, 0xf3e5076f, 0xd2d9ccea, 0xec2ea824, 0x47cf6b24,
+    0xd4b26464, 0x0e8e11f7, 0xd40a05d2, 0xf2e6fc3f, 0x219a19b4, 0xe0255de1, 0x018ab8d9, 0xf2304c4c,
+    0x7abbbb88, 0x691b2ec4, 0x3b27808c, 0x94018adf, 0x5ce6f220, 0x1e0c96d9, 0x0d9f063f, 0xfa4d8b85,
+    0x6c5c82fb, 0x426d8ddd, 0xeb43b25a, 0x561bfef7, 0xf35f3999, 0xa8aa2872, 0x0e6e6843, 0x23afbf6a,
+    0x830b22c5, 0x98bca6d1, 0x8cc558c3, 0xda1645fe, 0xec8dc04b, 0xaaef7a26, 0xe9ba4e54, 0xb0846e48,
+    0x22d696a0, 0x05071f9a, 0x7f3b69a5, 0x10bf0bbb, 0xaff894dd, 0x4c416c7d, 0x5ab86660, 0xfbda74e8,
+    0x4241aabf, 0xaa683742, 0x9cfda582, 0x14f68260, 0xeb518e5f, 0x41020811, 0xb3deee98, 0x51a039e3,
+    0x5aa15209, 0x762c5752, 0xa462fc28, 0xa76fbb42, 0xb2c40558, 0x30eec4e5, 0xfd8bf51e, 0xf2cad53a,
+    0xff63d1a4, 0x8ddf94d8, 0x70f58646, 0xe4f2494c, 0x48ad3bd6, 0xd4d20520, 0xf6dde390, 0xd485a261,
+    0xa672b677, 0x783aad2f, 0x3128a580, 0x1465b041, 0xf6b0f4c8, 0x918df506, 0x1f9f6ba7, 0x6d8b3988,
+    0xa5d43fe8, 0x9f876471, 0x1f683ae7, 0xf9dcf529, 0xd3867bee, 0x9cdfa5c6, 0x178a849c, 0xdace884e,
+    0x9b37f67b, 0xf737288f, 0x8b9f185a, 0x35662824, 0x8ec3c051, 0xa9ad585c, 0x6600b855, 0xcfd91c3e,
+    0x333e9865, 0xd1031f9d, 0x06cb29fa, 0xe660744a, 0x3c32d343, 0xe15a2c02, 0xc46fe336, 0x1a2a5441,
+    0x67c26252, 0x8a2bb4cf, 0x48096b55, 0x979661db, 0xd218600a, 0x3d6d1694, 0x3316057f, 0x8e4b662f,
+    0xe75d9a29, 0x3802d3df, 0xe076cd3f, 0xc9a7035f, 0x419f12c3, 0xc97b295a, 0x35e17a85, 0xd2f07ae6,
+    0x45b826a1, 0x994a4bfd, 0x64940396, 0x0941e69b, 0x3d6ff639, 0x19aa9e36, 0xe22dd92a, 0x7edf9ca3,
+    0xb8f8b3d4, 0xf6948f1f, 0x465d8ea2, 0x00b0490d, 0xcd593555, 0x3ae3155f, 0xb40e193a, 0x37242949,
+    0x5531181a, 0x2c4c8d01, 0x2324ff02, 0x5e80e1da, 0xa6096d7c, 0x7e06b44d, 0xee08a3ac, 0x0443bf60,
+    0xf810e331, 0x84491598, 0x4d98dc26, 0xd3c06f70, 0xc1287596, 0xf613fc29, 0x12106448, 0xba5ea03b,
+    0x6caf854d, 0xfc0cb702, 0xe28ed32c, 0x19f925ce, 0xb4499105, 0x426585d8, 0x66f01177, 0x512912b2,
+    0xc2212f88, 0x50eed5bf, 0x18e525f1, 0x1fce2488, 0x484f15f6, 0x5067272c, 0xa538182b, 0xe37c8b3a,
+    0xb31c6339, 0xac9d7e3e, 0xe761d6e0, 0xeb609d84, 0xa518a32d, 0x2726d965, 0xfdc66d47, 0x2ea1c75d,
+    0xf7acc3b6, 0x0dd2835d, 0x2520e3e3, 0x3344274e, 0xef46200f, 0x8b6f9e2e, 0x503f7df9, 0xb6fe7bcc,
+    0x072dac5d, 0xdeecb0dc, 0xeacbc738, 0x1e7982d5, 0x0025cbf1, 0x0cf17310, 0xff70a0d3, 0x9af54030,
+    0x1e7724c5, 0xe0514c30, 0xde26c1aa, 0xfe381c29, 0xdc24d405, 0xa8ffc012, 0x5ce65d0c, 0x6d7ab9b9,
+    0x9be7abaf, 0x7c17db25, 0x1c71d287, 0xe2777e3c, 0x258f65f2, 0x5a415750, 0x2606fd59, 0x732f2043,
+    0x65410ccc, 0xc87a3270, 0x5c1bbadf, 0xbb2f89d7, 0x197a6090, 0xc5390f10, 0x8a09601f, 0xe9e1203d,
+    0x34bf1af4, 0x82144096, 0xc8a87a3b, 0x7653c782, 0xeb2c2662, 0x952b3aaa, 0x509ad26d, 0xb7c01b67,
+    0xe90224d6, 0x959f70b1, 0x2b49b078, 0x79b679ed, 0xbe92fc98, 0x8d085dd3, 0x3878efc2, 0x087ec6e3,
+    0xf83ff013, 0xa1b0723d, 0x78e74288, 0xa5955064, 0x7b178ad3, 0xad474148, 0x8c377917, 0xfdfaf067,
+    0x6335e751, 0xd6057350, 0x3090c415, 0x3dfe9e67, 0x65d0ca1f, 0x111c6f8b, 0x3eecd9d3, 0x483f4473,
+    0xe0206f9d, 0x247f8181, 0xf228b370, 0x5a3b4cf4, 0xad25c6bd, 0x1a89b15b, 0xe410edd7, 0x25310ad4,
+    0x4ed3e3d6, 0xdf0ae344, 0x7bbf9982, 0xea90e9c6, 0x705ec006, 0x39ea9ded, 0xf11dd143, 0xc1154648,
+    0x09553040, 0x1b3a3852, 0xaad39c1f, 0xfb737aa4, 0x05f96563, 0xd89a82a1, 0x81f76a47, 0x93713295,
+    0x27a8eee7, 0xf7bf8cf7, 0x085bc533, 0xbc6a1413, 0xef0070ca, 0xb268a9fc, 0x11c68916, 0x646633f8,
+    0x89215d1c, 0x2182177c, 0xd5dcf166, 0xb8601a4b, 0x148280ea, 0xa8772eb5, 0x75a9cd49, 0x4df0a885,
+    0xeb6dc750, 0x933766c8, 0x48634a0a, 0x78edca9d, 0x8f107f63, 0x6a1e545e, 0xdcde19dc, 0xce00fd00,
+    0x1159e32b, 0x2246c14e, 0xe15c8b59, 0xfbe910df, 0x2fa1f0d8, 0xea0d3581, 0x4d74dc1d, 0x78b10310,
+    0xa95160ba, 0x5449485e, 0xf4ebb3b3, 0x57377d7c, 0xe6c588c5, 0xba1d2d01, 0x56e93781, 0xeac47f55,
+    0x7fef07d8, 0xac1f3bd6, 0x893537e5, 0x058b1dbb, 0xb26d6810, 0x8b814f74, 0x4abebf52, 0x08507c6d,
+    0xe29eaaca, 0xb6ad99b8, 0xc52a72cb, 0x14ff8aab, 0xc6547ff2, 0xd13b5aed, 0xcbe9f051, 0x5dafa988,
+    0x63c5d2b5, 0x01ecc7a1, 0x2e6ab2ff, 0x30e91337, 0x2a60adf5, 0x43ce686f, 0x3d04e946, 0xd248ffc3,
+    0xcdea1b6a, 0x53b37c53, 0x9def167c, 0xb5d182c3, 0x67120632, 0x585aea51, 0x2e454401, 0x8ab1a9a3,
+    0x829a3b2a, 0x7e70f32a, 0x9a73eb7a, 0x3c1319e8, 0x6d638a92, 0x78b29aed, 0x7fc6dd17, 0xf87a1a63,
+    0x7b8b101c, 0x18bb2fad, 0x0b68d1df, 0xa3eea88a, 0x35833e92, 0x78971495, 0x467bf54a, 0xec326cc3,
+    0xaaae938d, 0x4f2987ad, 0x6d407d07, 0xf2bc4025, 0x9cd6ae22, 0xd024fa1f, 0xaaf1f6cf, 0x0d6fe3fc,
+    0xc11d1516, 0x231a13e2, 0x8da0cf03, 0x1ea59e2d, 0x136ca47a, 0x741b09cc, 0x428e6a3a, 0xf1b47be9,
+    0xe90daaf5, 0x4a6b5fde, 0x0b10d530, 0x5a7f46dd, 0xa967b344, 0xe69e5d08, 0xa6f0091b, 0x82316821,
+    0x7d2d88ff, 0xbd7d90ec, 0xfaae778c, 0x732f5f7a, 0x64e28939, 0x11223e16, 0xbd256e39, 0xf6f5f664,
+    0x25a94304, 0xefdb5e12, 0xd26774f5, 0x6b58d9ae, 0x73e6d0ad, 0x0b9ab7f2, 0x51ee4e4f, 0x1ead0688,
+    0x3bb7d4b1, 0x83e97f8f, 0x1de216af, 0x9e435d0b, 0x17e3539b, 0x9fe0b339, 0x6edde064, 0xbd05caf3,
+    0xbb06b677, 0xdaf96836, 0xaa8b6baf, 0x8ea2327f, 0x88ef7467, 0x3bc6536b, 0x21cd1b03, 0x0a5b143a,
+    0x37902f3b, 0x5d82b2ed, 0xce771267, 0xc3ab3c57, 0xba76c916, 0x755d6ff5, 0x670c074c, 0x225a8038,
+    0xe87b6cb3, 0x9cc318a7, 0xda92d3cc, 0xd9d405b5, 0xc3f027b5, 0xd4951965, 0xf957bdd8, 0x632f17cf,
+    0x7c835e2e, 0xcebe7ad2, 0xe91395cd, 0x8f25f015, 0xb9e75d54, 0xcdb38aba, 0xc7a7d154, 0x2364ae3c,
+    0x11845958, 0xc4e66dfc, 0xdd34d882, 0x9eaaef21, 0xe46758eb, 0x5f58285a, 0xbb2a6d91, 0x48cba81d,
+    0xd645f4a2, 0x9a44962a, 0x13bfb6bb, 0x66a73f08, 0xc5775165, 0xeb489650, 0x312b2b3c, 0x34bb69e5,
+    0xecb9302a, 0x03cc2e2c, 0xe06707e1, 0xc02ab278, 0x4ac72e3e, 0xa3b879a6, 0x6ace2497, 0xf72552a8,
+    0x0f47bead, 0xb680b4c3, 0xf861e053, 0x9187586e, 0xf3c13391, 0xd62bae15, 0xb599495c, 0x4f2f5fa7,
+    0x0e2a2e4a, 0xfe45ae28, 0xb3aea77f, 0x41f5edbe, 0x7318557e, 0x8d3362bc, 0x914aaad6, 0x8cc93979,
+    0x368ec7c4, 0x09a0c5a8, 0x439d5f31, 0x07be6260, 0x9e604df4, 0x40bc89ce, 0x18298f09, 0x4d4e268b,
+    0x1b505681, 0x9da69a09, 0xbd6c4680, 0xdc5044b8, 0x37196703, 0xde36b862, 0xe944a1ca, 0x15f7252c,
+    0x58157b6d, 0xbcbdb962, 0x76f7d4eb, 0x9723b892, 0x68054b19, 0xea895e3e, 0x4abc789f, 0x28e95b26,
+    0xcf6e5978, 0x252e8ef2, 0x30ba11b2, 0xfc6f749d, 0x656733c8, 0xa5bc0b4b, 0xc03aff7d, 0xdd131e3b,
+    0x23482559, 0xc0924966, 0x5cadfb8e, 0x9c2f4f5b, 0x2c88356f, 0x8a68c5c1, 0x000e950f, 0xe915a90a,
+    0xec127499, 0xb3a63468, 0xb3a42a6f, 0x6560c756, 0xc3217f11, 0xdb9df017, 0x25ee74b9, 0xb365cfe3,
+    0x16ff906d, 0x883241de, 0x9d1cd3ac, 0xa74d8d52, 0x39ddcbe7, 0xa290e456, 0x09febadf, 0x956e90f0,
+    0xeff33335, 0x878a4e32, 0x4ffc12dd, 0x3c7e2ec8, 0xc9451aff, 0x9a6b3adb, 0x3d3ecbc0, 0xc7cef8b0,
+    0xe1e58e60, 0xc1470dfd, 0x8f3a7d93, 0xde8e3fc7, 0xe46fa2ea, 0xe925e5aa, 0xb5a710f9, 0x0d08c8aa,
+    0x7e760da5, 0x835f5cd7, 0xb6cc87a7, 0x337f72a7, 0xd957e3ea, 0x102c1163, 0x93a7530f, 0xe98a7101,
+    0x7cd67369, 0x4abfcdff, 0x78c79c42, 0xf300b0e2, 0x03299c73, 0x3b2912f0, 0x9d9e8f42, 0x7265f952,
+    0xd56fe6fb, 0x370fe8a4, 0x67ba147c, 0x3f96561d, 0x68b29cbe, 0xc869e60a, 0x891c606e, 0x8024bf72,
+    0xe2dd98e0, 0x8c195ff3, 0x7d9a0c23, 0x3aeb0b85, 0xc032fb86, 0x326d4567, 0xb2328c42, 0xb1bd2e11,
+    0x6c59d2e0, 0xaba27529, 0xbab7fe95, 0x161c86d0, 0x2ec45d2c, 0x560721d8, 0x90db593d, 0x8dc8cac3,
+    0x886912c1, 0xb4444e0c, 0x7d6fccb9, 0x83277bba, 0xfe179e27, 0x7f66ca9e, 0x459a05cb, 0x93efe18d,
+    0x9f9acf14, 0xcd95ecc7, 0x807fa57f, 0x6a6ede7d, 0xe8581955, 0x740b9fcf, 0x2e813d7a, 0xa652c146,
+    0x6478efe1, 0xecb2e09d, 0xda2c1b02, 0xb22cc04b, 0xf4bb209e, 0x64ae7f86, 0x64d2b5a4, 0x312f237f,
+    0x1cc6614c, 0xddc4a317, 0x7c3ef371, 0xab7d9307, 0x9dd1fcab, 0xc45bf7e5, 0xaee15841, 0x90f1f982,
+    0x690ebc40, 0xf06a5a84, 0xb64da535, 0x1461e74e, 0xc951f485, 0x9f10d608, 0xc76f8bf9, 0x0ba86b1f,
+    0x7e97a7fb, 0x75e6a350, 0x5f76fee0, 0x63c36a82, 0x8ca3cb1e, 0x53e5919b, 0xd3424626, 0x7173a2d5,
+    0x7f76fd27, 0x3f6c1d2a, 0x320cb6e6, 0xbac50113, 0x2d68982b, 0x7bdd3cca, 0x2f6117ce, 0xd40e2184,
+    0x1e73be77, 0xada3ed6d, 0x592cf001, 0x7c242ba2, 0x8477747a, 0xfe32f954, 0x4d3468cc, 0x933aa2ad,
+    0x2ceb6688, 0xf6236d10, 0xaff847fd, 0x0a27f775, 0xc16ceb9b, 0x3cfb2f78, 0x8b645d81, 0x7d0cc7d4,
+    0x46dcda19, 0x4196bb2f, 0x57821f72, 0xe4ec25b2, 0x739cc845, 0x9b906f07, 0x8c52c44c, 0xaa46b912,
+    0x0f3c8132, 0xb0cf6b20, 0x8fc3ce38, 0x26aab5d6, 0xa91e9b72, 0xfd7cebf1, 0x38387eb6, 0x0a4329f0,
+    0xc821f007, 0xc4bafbdb, 0xe1fa9b39, 0xf3d95e12, 0x0c0149d3, 0x415796e5, 0x2517326b, 0x3adcafd6,
+    0x84c049cd, 0xc061bda8, 0xd159312f, 0x1f4110cf, 0xc3003cfd, 0xda5d014b, 0xce55eb6c, 0xf018d857,
+    0x6346a284, 0x8d2bbcb1, 0xba244e92, 0x017738b1, 0xd109ce50, 0x38ae0d31, 0x758c918e, 0x99849a0d,
+    0xcd3bf8d2, 0x5a49c337, 0xc099a67d, 0x5f4d9f32, 0xc5bb5825, 0x39ffe354, 0x8df85a83, 0x107a8c68,
+    0xaf26022d, 0xb18fa1d0, 0xf3876446, 0xbf016ac2, 0x371919c2, 0x0829d2a2, 0x93ac9cf7, 0x8dcdbaa5,
+    0x81d8813f, 0x1ebaefec, 0x7f51f841, 0x1916e6fa, 0x373ee3eb, 0x43a5e4ab, 0x29a3501e, 0x9228c1ef,
+    0x55a152f4, 0xbbc8d0e0, 0x1213cb2c, 0xf11c949d, 0x6d18e873, 0x109d0819, 0xa00e9e4d, 0x51b2a244,
+    0xb894123b, 0x52553838, 0x89613bbb, 0x1351e6ba, 0x19a7655c, 0x60849f98, 0xdd745b70, 0x835104dd,
+    0x2222b7bd, 0x7171ae56, 0xe3477ba9, 0xe1890a5f, 0x007f4287, 0xa7386642, 0x09e9a247, 0x6fe6845a,
+    0x2df486d3, 0x867347ae, 0x751337ae, 0x414d8e85, 0x893bf0f0, 0x79a6d4ef, 0x26aa9c5f, 0x47ca5cdb,
+    0x819c42f7, 0xffacbdf6, 0xc1aaa0f0, 0xda6c4c93, 0x6e39045b, 0xfbb363d0, 0x63d8719b, 0xe5b09196,
+    0xccf74ed2, 0xcd52119f, 0x73e60069, 0x74f717f3, 0x191b868f, 0x10ff4a23, 0xe17de0ad, 0x0724db37,
+    0x57117166, 0xf66d1879, 0x25ca9cde, 0xcfe4222e, 0xa4d41686, 0x332611e5, 0xd223990b, 0x052a0057,
+    0xc0ff1c05, 0x03b34d19, 0x009c8b81, 0xbe2770cf, 0x0d9083ac, 0xe00ccd52, 0xbbea7ab8, 0x18e3940d,
+    0x367a4ae9, 0x3d9a4e67, 0x7ec0a3be, 0x9d828f7b, 0x81efc26f, 0xf3aed2c6, 0x7c3e1ade, 0x61975c50,
+    0x9df07648, 0x654aef6b, 0x93d66061, 0xd012ffac, 0xb3d72618, 0x683d0414, 0x84c22ed1, 0xa2d32d66,
+    0x0d5c8d4d, 0x17a4a93a, 0xa1396c05, 0x2b482ed6, 0xcc8b90ad, 0xead1ee92, 0x1edebfdd, 0x8bc46318,
+    0x0b9bb818, 0x22db9e4b, 0x0a1cd392, 0x8a773ed1, 0x25cc5f0b, 0x6954eb24, 0xf2fed2d1, 0xbc728acf,
+    0xf9a562ff, 0x561217a0, 0x1d786079, 0xa5b7d858, 0x2df44633, 0xa38b6497, 0x6fc5f0e1, 0xa730f806,
+    0xbdf1f813, 0x25c2bf0b, 0x209ace6e, 0xf502177d, 0xaac1e6f0, 0xb3a08374, 0x9e52836b, 0x2c0f7c73,
+    0xe46017d7, 0xb7efe7ed, 0xa1ebe71b, 0x58fdc3c6, 0x028060d1, 0x2d78354b, 0xc4ebef57, 0x0ecf44bb,
+    0x1ef57740, 0x41a7a558, 0xbc83b071, 0x8d3551d0, 0xcbb96345, 0x8edc79cd, 0x1199e3f8, 0x2e33a51e,
+    0x176e55d2, 0x49bed004, 0xe64de303, 0xbf75a401, 0x5fe483a1, 0xdc6db3f0, 0xdb95d183, 0x08c0d639,
+    0xc9543229, 0x844b7b02, 0xc55b250f, 0xd00e40d3, 0x4a9b11b8, 0xd14a0a0e, 0x5bbe9f1f, 0xb0883197,
+    0x2bfbeded, 0xb98b6161, 0x3c79a0b2, 0xd4fa8395, 0x620f4766, 0x4055c86c, 0xb8a7e3e8, 0xad604997,
+    0x7f031396, 0xb53d1343, 0x949f5e60, 0x07f42d99, 0x686a43df, 0xb7d6337b, 0xad6631b5, 0x97287d5c,
+    0x3faec053, 0x63ed362e, 0x76e69f74, 0x5949cfb6, 0xb3a6dba6, 0xd5c7dec3, 0x4a4bb28f, 0x20b35d0e,
+    0x0a3e1041, 0x82d19275, 0x5eb24995, 0xaa21a140, 0x5e9d6fec, 0x1f24c878, 0x8c3a8b4a, 0xea9188e5,
+    0x66939e23, 0xf09f87e6, 0x882339dc, 0xbc7573b3, 0x7ba0b477, 0x4ef8e265, 0x468a6e4c, 0xcbd4061d,
+    0x46e06b25, 0x27abd572, 0xe19b014e, 0xb67d4139, 0x7e6dad53, 0x9ff08cc9, 0x42f7012c, 0x3cb4623e,
+    0x93b33868, 0x19043606, 0x0039e372, 0x6f5be476, 0x189dcf20, 0xd2df2c66, 0x212c09bc, 0xd69aa172,
+    0x31a32ef2, 0x21c47fb8, 0x83e01d4a, 0xb055297f, 0xbd515574, 0x0b53fce1, 0xe056c458, 0x17a0500e,
+    0xda163d87, 0x11efe810, 0x9dbca0e1, 0x5d1355b0, 0x0893934d, 0x22ad3dbe, 0xbf49d498, 0xe9d726af,
+    0xff9970e3, 0x5374ca8b, 0xfba38b15, 0x4bf82c3d, 0xdd6cd598, 0xd89b1cd0, 0x965f3466, 0xd97ec3b2,
+    0x7f221a6d, 0x8dfd26df, 0x41f81ea5, 0xfaae4376, 0x8c1fbd7e, 0x55fa8fc2, 0x1206576f, 0xe1f15e93,
+    0xb89466f3, 0x5fb979e1, 0x400955a5, 0x30280d96, 0xce97614d, 0x47e73821, 0x4c25ea87, 0x98dc05e3,
+    0xdf2f5f47, 0x1d8460c0, 0x0c5b7f61, 0x7d074c7c, 0x09a72e4f, 0x1ae6e148, 0xd16e2daa, 0x4cf4447d,
+    0x8ff7f469, 0xd2df46cf, 0x4adda0f0, 0xd3b0c1e0, 0x7fac3572, 0xdf26664a, 0xe477a13b, 0x7117a97d,
+    0x2175edf3, 0xcf0e16c6, 0x5cfc7c54, 0x70123c8f, 0xcae1cfbd, 0x1a527afe, 0xea48d5e5, 0x8fad2a7e,
+    0x13f45c33, 0x2919fe86, 0xfb369d50, 0xd080bca8, 0x50dd1ae4, 0x36f82148, 0x5c8c811f, 0xb734e49e,
+    0xf9c5d35b, 0x0eb26cbd, 0x8cf5b8b4, 0xd47e0d3b, 0x3da90626, 0xb98bcb7e, 0xf4e1b42f, 0x8b6653f0,
+    0x00000000,
+    0x4cac27f2, 0x6acc03a7, 0x6dfea68d, 0x0a7af284, 0x552714bd, 0x317076d0, 0x08588ab8, 0x98be66bc,
+    0xdfdf461e, 0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0x3fcad961,
+    0x00000000 }, /* 10**-00032733906078961418700131896968275991522166420460430647894832913680961337964\
+                          04674554883270092325904157150886684127560071009217256545885393053328527589376 */
+  { 0x00000000,
+    0xd3862e50, 0x0337d070, 0xb1f160c7, 0x6f9976f0, 0x5f346046, 0x9c26a230, 0x900fd79a, 0xb2404aae,
+    0xab29e3d7, 0x2678d4d2, 0x52a9eec1, 0x0e1e1129, 0xe610026d, 0x15bc5bcf, 0xb039014f, 0x7a7039c8,
+    0x93010cd6, 0xb7f37c51, 0xfbdfa3db, 0x2b617610, 0xc9f749c0, 0xa13873af, 0xf6bc3c88, 0x6395ea1f,
+    0x621be61b, 0x36cdeb92, 0x68624ef1, 0x3c655d5c, 0x5dd86862, 0xfa521bf0, 0x5e1910f9, 0xe9201472,
+    0xe82f0f39, 0xb155b3d8, 0x0cf02576, 0x832152b4, 0x05ec011d, 0x1757625e, 0xb18aec25, 0xf5c70476,
+    0xb643cff0, 0x9cb4374b, 0xc4934626, 0xfe4dd5af, 0x6a9e50a1, 0x94216b03, 0x6f787c37, 0x2dd45e71,
+    0x6983c2be, 0x1697e4ef, 0xd28acca1, 0xf8f2185a, 0x0a1e2508, 0xbcc20945, 0x7667cd79, 0xc72c2f0f,
+    0x4f3e4d3d, 0x891aae61, 0x811381c0, 0x5b67550f, 0x18df0e73, 0x8604168a, 0x2a84e9a0, 0x0b2d66ad,
+    0x17964c48, 0x104cedce, 0x4cac8135, 0xedd8f1ff, 0x413632a7, 0x82f2e975, 0x6b2e3942, 0x8f0ae00a,
+    0xe18ab3eb, 0x670cb222, 0xe73ef0be, 0x45857c9c, 0x5ca9fff7, 0x16d7925e, 0x1b86a97c, 0x612ef010,
+    0x49b71ca3, 0x83eea141, 0x56b4559e, 0x867bc1d6, 0x7c4416c6, 0xed347ce7, 0x6b447d9d, 0x94cb7126,
+    0x9ad2dfb7, 0x5b1ab28d, 0x3d58bd80, 0xe99c3c1c, 0x231af859, 0x2d37bc75, 0xa675db52, 0xf39b50cf,
+    0x5c8fdd2b, 0x356e5f1e, 0xee177591, 0x7c313397, 0xc3ba9498, 0x8ebbd917, 0xd1856968, 0xf5382a1b,
+    0x420e0da8, 0xf14436a6, 0xc8853125, 0x2db33d6f, 0xb1ab97ff, 0x091065df, 0xd7b72007, 0xa40cb529,
+    0x0cf86524, 0x99c25b18, 0xaf01b1b8, 0x03be3ca0, 0x68d6f610, 0x573c5ec9, 0x53b34cec, 0xddc5d42c,
+    0xdfbbd26c, 0x785081f9, 0x6bb05919, 0x097a9bcc, 0x66d7f27b, 0x7306b16b, 0xd01e37be, 0x9622aab8,
+    0x8de1f6b5, 0x364472f2, 0x6c437b35, 0x66639c6f, 0x79932c47, 0x35c1a599, 0x0ac08aa5, 0xd38b0a12,
+    0xaf1d5d5a, 0xe33096e3, 0x415c7895, 0x7fb7cd14, 0xf5a0a210, 0xb0468fdc, 0x193609f7, 0x856af4d7,
+    0x479a82ae, 0x9644c63d, 0xb7f696fa, 0x56a85ffc, 0xf5cbe3a2, 0x6602cdf1, 0x3a4a0a80, 0x3a3a7f72,
+    0x0f3c394f, 0x782799c8, 0x2888a636, 0xf0ebd821, 0x0982c226, 0x0b78fdd4, 0x94f44518, 0x761a9be2,
+    0x2291fb35, 0x11193849, 0xf4e7598d, 0x6e32309c, 0x19095180, 0xddeb89fb, 0x7b8b73de, 0x623e8335,
+    0x15a3a5e9, 0x7fb4af18, 0x0de58c73, 0x99aac079, 0x17dc4d2a, 0xdfcc173c, 0x3a315ba7, 0x5def4323,
+    0xd7d95cb9, 0x6f5be7ab, 0x0834fa9d, 0x164ca095, 0xc900eaa4, 0x0dcb1486, 0xfad16282, 0x05b54a49,
+    0xf87212c0, 0x4e715ce5, 0xaa5bf871, 0x2be0f737, 0x3019e539, 0x3a671cba, 0x95a0e65f, 0x6c0d2ccf,
+    0xfb31e2f7, 0xd862402d, 0xb9359d84, 0x48a5664c, 0xcc42f9a3, 0x84373b96, 0x6fc6c818, 0x4c062df3,
+    0xcb9aa56d, 0xabc167b0, 0x32172264, 0xe71b61ee, 0x150d6d95, 0xdc88c9de, 0xd565e8e4, 0xe2150f2b,
+    0xfc8db3b3, 0x13ad9e1f, 0xe9f65c1b, 0xb1ced2e8, 0x6c126729, 0xb12030bd, 0xd18283f5, 0x61f49c57,
+    0x2eb9fca1, 0xc56264f3, 0x2dfd0a2d, 0x8c881181, 0x1e022b79, 0xbc76e4af, 0x5cfb9193, 0xc08bb415,
+    0x92675159, 0xc5087e03, 0xfb13edc0, 0xaaf3e1ff, 0xe5e33d21, 0xb9e07bf4, 0xb9813f80, 0x21b454dd,
+    0x842e121e, 0x4e54fbdf, 0x40416401, 0x61ca9b02, 0x6404637e, 0x5773b417, 0xa0b12c48, 0xd85dc1bc,
+    0x1d4b4704, 0x271a3008, 0x4b99ce7c, 0x642bda9c, 0xc2db83cf, 0x9c219c71, 0x1dca6d55, 0x18ee4d9a,
+    0xe3faad76, 0x1fc7edfd, 0xe357e751, 0xb7a4f749, 0xb211b24f, 0xdf8b5014, 0xd1748f1a, 0xa0babe61,
+    0xf9881723, 0xa0f901b7, 0x41112956, 0xd050091f, 0xaf31eae5, 0x0a393e6c, 0x4e1f0497, 0x254357c5,
+    0x842f3e7a, 0x6f9d834b, 0x9575f9e7, 0x3afc3e73, 0xc36dc35d, 0xbf0346a7, 0xa732daea, 0x3e8b20f3,
+    0x7b2a6de9, 0x7305ac15, 0x4bbb9dbb, 0x750702a6, 0x1cc7c603, 0xbb545118, 0xa5c445ab, 0x28d32931,
+    0x554fe61b, 0x678dcb12, 0xc6bb0b66, 0x5a9a6219, 0x60b4978c, 0xe5e2b8b3, 0x6bda083f, 0xfb6058ff,
+    0x325c3798, 0xfc8bbc71, 0x461c01a9, 0x591992d8, 0x3a99331a, 0x80b4d99f, 0x62b3c34b, 0x7105e1f8,
+    0x9c9cdedb, 0x7cd2ab33, 0x4ba18056, 0x0071212f, 0xb9d15710, 0x2f2fdc71, 0x89845d6b, 0x2bc7b60c,
+    0xce4214d0, 0xa4702db1, 0x604ed2f4, 0xfe3bc6cd, 0x9fd764b9, 0xddd866b3, 0xef3092c8, 0x83a8eed6,
+    0xfe79fddd, 0x72a97438, 0x18340fa9, 0xe8f8dd57, 0xc2512751, 0x208fb36a, 0x1298c503, 0x8dc05d46,
+    0x3e569b8d, 0x45702fb8, 0x8da37eea, 0xac9e4475, 0xf49062d4, 0xff403b07, 0xbbcb90fd, 0x882f58fe,
+    0x5b840ff9, 0xd390f311, 0xf9df3371, 0x2a0a1249, 0x846dd1bb, 0x39744c80, 0x4d3abfd3, 0x1092d0dc,
+    0x17c74af1, 0x0de1c575, 0x269577d4, 0x58aa5d53, 0x64883d45, 0xbbcb3bd0, 0x0e5d9ad2, 0xc591d2a5,
+    0x823b6e57, 0x5775c85f, 0x931e1111, 0x3fa6f0fb, 0xf8f6fa88, 0xe78701b9, 0x45ca83ed, 0x855cde05,
+    0xd9ebc0f6, 0x04a3cf83, 0xf5321bfc, 0x9a4c3812, 0x57c0444d, 0x1c199e0f, 0xf7e92df9, 0x8103f814,
+    0x1f9b01d3, 0xcc8c91b4, 0x1092a886, 0x5ae161ea, 0x0e5bc2e6, 0xaffc69d7, 0x83dbf9a0, 0xc654ffe2,
+    0x213f32ac, 0xd7a311f7, 0xd59495bb, 0x029f822b, 0xa30b0f06, 0xf1622ada, 0x3e50e57d, 0x723690e5,
+    0x157d4447, 0xca360a3b, 0x71c915f7, 0x69a041ff, 0x90e9f241, 0xe7f8b4a8, 0xd3930634, 0x2478f6e4,
+    0x47126b17, 0x8e40ead2, 0xb31f5d1b, 0xbeec746f, 0x9908afe2, 0x430f6245, 0x491b944c, 0xc509dd3e,
+    0xad2dab1c, 0x0f9610ca, 0xa40776d3, 0xd0fd5888, 0xde62932f, 0x3686935a, 0x089b7036, 0x24a82a0c,
+    0x051409c2, 0x0b2dc995, 0x0c059f2f, 0x82ae0ac8, 0x314bfa87, 0xc58c18c1, 0x17f991f8, 0xbc29f5db,
+    0xc5b218cc, 0x872ca2e7, 0xc1d81f55, 0x1eaeef7b, 0xa83536c9, 0x8ffe0f7a, 0xed69ae79, 0xb9fee3f8,
+    0xb5002057, 0x29e669ae, 0x41b2050b, 0x9f87aa7e, 0xe5144f20, 0x9f81c082, 0xcba8e4d6, 0x57e62bdb,
+    0xad0081ea, 0xeda16a6e, 0xe72be88e, 0x2a826761, 0x36e38d8f, 0x05dc8df2, 0xc307fad7, 0x2dd9a3a5,
+    0x0b262774, 0xe5eea048, 0x32ef173a, 0xbcd72184, 0x0a7f49ef, 0x8069b088, 0x1c07f8aa, 0x27c055e9,
+    0x1b0add44, 0x3349c169, 0x2e5ec9db, 0x0c9475c5, 0x6176cf11, 0xa954c1be, 0x06ca3e28, 0xe3fa704f,
+    0x02b37f07, 0x8e818ad6, 0x4b68fdfd, 0x315fcdfa, 0x02699652, 0x49e15915, 0x2c278230, 0x1c56aec8,
+    0x90c4ad2e, 0x1607ea1e, 0xf92aa461, 0xda84c198, 0x8b98cbe5, 0x14b34ac9, 0x65076482, 0x43d4d5ff,
+    0x5cc3f58d, 0x618964d5, 0x8ce0f887, 0x685e3c88, 0x169186d4, 0xa6a6a034, 0x3b676330, 0xaa93850e,
+    0x43d76fc9, 0xe8c73e3c, 0x65e4f54e, 0x1a41d3eb, 0xe85e892e, 0x827877f2, 0x1ce30592, 0xacd4ab10,
+    0xd31279b6, 0xef359b89, 0x96200db8, 0xddc3e115, 0x126c7872, 0x83ee2bd5, 0xd7c1ec2e, 0x6c2c9962,
+    0x62561659, 0x72080c9c, 0x5b689a91, 0xfdf2b76e, 0xe9dff434, 0xbc206b80, 0xa7e7103d, 0x2cc146ee,
+    0x5f112b0f, 0x4a866e54, 0x31f2ff6a, 0x385ca1ac, 0x32007ccf, 0x26b1de40, 0xba5019dc, 0x1abef9b5,
+    0x9e68d567, 0x36cb80f5, 0x391f70a7, 0xb06952b8, 0xf55c9cab, 0xf84e22ba, 0x71203ad3, 0x5c2ea71d,
+    0x29733e88, 0xca66f1cb, 0xf64f44af, 0x5eecd9f8, 0xb57a84be, 0x2ed1195a, 0xf94fcb31, 0xe6efc83c,
+    0x520469c3, 0x551913b7, 0x872ccc56, 0xb4cb3556, 0xb17cbe51, 0x26e27d7b, 0x50225a1c, 0x9e969e4b,
+    0x1b0b6cb7, 0x85783cea, 0xd1cf52c0, 0xaa005fee, 0x10dc828e, 0xc038652d, 0xdb93f048, 0x4497bd9c,
+    0x5ea9cbe9, 0x55f1042d, 0x343a3ac1, 0xa6dede8d, 0x805037da, 0x5ab140b0, 0x7b0f302d, 0xff8741ff,
+    0x07e04b4b, 0x1c92bbb0, 0x77c39ad1, 0xa69bba2e, 0xdf1326ba, 0x9fe59d6e, 0x046d569c, 0xd0734696,
+    0x27792538, 0x7f9d980b, 0x5448d2a5, 0x1c3f60c6, 0x02fd2d8b, 0xade043e5, 0xbc45425a, 0x484fcc62,
+    0xf7322b0e, 0x095d259e, 0xdae54f71, 0x6d2cea12, 0xce76da1c, 0x57f404db, 0xb374a9fe, 0x9a0ee1dd,
+    0x160abad9, 0x672a2a4a, 0x7db5d798, 0x7b16ee62, 0x76fe4810, 0xed279f7f, 0xb08f9cac, 0x772947c2,
+    0xe1104bdd, 0x3d5f1d10, 0xb1273138, 0x718f7cb1, 0x85a99610, 0xcb9d9e45, 0xe12c5985, 0xc1ad2ce5,
+    0xdb5c5f48, 0xace2f4e7, 0x6a78b860, 0x0bcd8a3f, 0x94c8145d, 0xd3001159, 0xec8ccfa5, 0x2ac617ed,
+    0xb7b9c906, 0x37c991a9, 0xe321221b, 0xbae81126, 0x4c642aa5, 0x99d45a1a, 0x7791af78, 0xb9f5e69a,
+    0xf566b6c8, 0xd04de0bd, 0xd21b8b8b, 0xba646dfd, 0x72010de1, 0x2ec387ca, 0x09e239ef, 0x1be61ac9,
+    0x564101a3, 0x120d1d09, 0x00cee975, 0x78b09720, 0x646ec271, 0xfdc16cee, 0x32cefd12, 0x8ddcb6be,
+    0x430ea006, 0xb6164549, 0xa865a3e4, 0xc2345d5d, 0x062d3c7a, 0xcd127c56, 0xa703a5f3, 0xfa82ef2b,
+    0x80b0f66c, 0x76534bf2, 0xa54c5964, 0xda0156c8, 0xb174904a, 0xed03e9b2, 0x2418d4ab, 0x53d54b93,
+    0xb086dc2b, 0x1e5ab554, 0xe49abecf, 0x0f85bc9e, 0x6bd40c1a, 0x5e696e08, 0xf1b54008, 0xde130edf,
+    0x305dc642, 0x360c0cce, 0xa5d43136, 0xa969c726, 0x60725ffe, 0x78f145e8, 0x273e0008, 0xda3687c0,
+    0xefeaf85a, 0xa34232c3, 0x350c0b79, 0xc646f2eb, 0x73bdf3d1, 0x6d678d7a, 0x92db3cd2, 0xb08dd495,
+    0x353867b8, 0xb6bcd3a3, 0x7c971790, 0x014d70c0, 0xe302f1f0, 0xbb1df992, 0xf40e89e6, 0x638063c9,
+    0x7059d2b0, 0x10d4ff08, 0x656bd960, 0x031ae984, 0x97875743, 0xe7190653, 0x677f75f9, 0xccd5c564,
+    0x6d4d9a59, 0x5936de7b, 0x4d825da9, 0xf672b5a3, 0x9bcee2d8, 0x0135c21f, 0xa81ea7af, 0xaa2eeda3,
+    0x1cbb8b88, 0xba56e37b, 0xe87472d5, 0x8baa6005, 0x18f3ca56, 0xd89b2d01, 0xd9174376, 0xda4b800e,
+    0xa5c113ec, 0xa491bbeb, 0x23f4638c, 0x851d747f, 0xdf48c4a2, 0x2f9fe05f, 0xd5c53aee, 0x65394898,
+    0x75837bfb, 0xb263b391, 0xc8acc078, 0xc3c1e7ef, 0xd2738c78, 0xbd4d0a89, 0x55db4852, 0x9a9cc3b6,
+    0x69e244b8, 0x61467dcb, 0x522dffc2, 0xef3b0820, 0x70c6552b, 0xd6825605, 0x0e86be8b, 0x509a3e64,
+    0xad03ea20, 0xd306a4c9, 0x33419cc2, 0xadac18b6, 0x81313a04, 0xdd1d1313, 0xe85c3f13, 0x0979d6d0,
+    0xdb4e44c2, 0x63708e1a, 0xb99f6b53, 0x9948ac0b, 0x7337a6af, 0x0dfe2390, 0xb84375b4, 0xb42d4caf,
+    0x8e4db97e, 0xcfb923cb, 0xdcf6cf28, 0xa2d74fc0, 0x5d556100, 0x7394ab1f, 0x2cf0503e, 0x7929961d,
+    0x278b3eb7, 0x69310723, 0xed4f885f, 0x28bed487, 0x042b60ff, 0xf22e66b9, 0xf2ae30ae, 0xd3215268,
+    0xba918c95, 0x798ea836, 0x7426ab89, 0xb3695eb1, 0x00852cf8, 0x7a2584d7, 0xb44f7d11, 0xdfa496bd,
+    0xa407ea52, 0x2445bc93, 0xa0348f32, 0xbdd400cc, 0xe740809a, 0xec81e2ce, 0x52fcdf1e, 0xb8005f29,
+    0x50181734, 0xe8b09098, 0x0b962b55, 0x935543e8, 0x13793c8b, 0x93f0fb25, 0x19d0136a, 0x799e41ab,
+    0xbd3f3e5f, 0xc3cb18e3, 0x975bd309, 0x9caec518, 0x3e8ad727, 0x6da7d9a7, 0x623f48e4, 0xc32332e4,
+    0xdaa09e39, 0x6520e3f3, 0x45b8bcd1, 0xc98a6e81, 0x9ea4f2b4, 0xd1f5ee04, 0xf5a848ec, 0x8bf9e537,
+    0x41c1047b, 0xf437862d, 0x89d46db5, 0x5c3d1e2f, 0x936d9c26, 0xc4e270f5, 0x8fc9ff80, 0x79db3174,
+    0x05620239, 0xe23defba, 0x71d2c44e, 0xad119cd5, 0x52e4cd2b, 0x6c1f28b0, 0x3ad004d9, 0x02b0747b,
+    0xd2048abf, 0x72c47d85, 0xf664de6e, 0x96d71079, 0x16ef8757, 0x876d367a, 0xce7642b3, 0x0d9a0efc,
+    0x0f0ec7d0, 0xb71d1fde, 0xddae1b61, 0x17e770dd, 0x8910f27b, 0x682e6c48, 0xcb5405b9, 0xa9a13088,
+    0xbe1ea261, 0x4dd232b4, 0x2c82ad4c, 0xe0edb99f, 0x79a672e4, 0x6c76e67f, 0x921c682d, 0x9c48b789,
+    0x12dfa867, 0x63b427b4, 0x520cd794, 0x361bc850, 0xa1bb591e, 0xb061da55, 0xcadc357a, 0x22dbbecb,
+    0x89db05d9, 0xee386468, 0xbd37befd, 0x7fd659e3, 0xa8455a98, 0xf089a250, 0x53188c82, 0x54af3354,
+    0x716cc99d, 0xf2f7525c, 0xb6ae6afb, 0x19a83ec9, 0xbc0a406b, 0xb8617545, 0x95f617b0, 0x4547be2e,
+    0x39287a03, 0x804868d1, 0x797cfc2f, 0x8df39969, 0x2481c2f5, 0x27d4758b, 0x1ade1ae6, 0x99566eea,
+    0xad395924, 0xff977185, 0x7c42bfb1, 0x93826c45, 0x31a75b42, 0x6a14bbc4, 0x18217c5b, 0x4b646647,
+    0xd5d262fe, 0x386e114d, 0x6ed5418c, 0x0a4632d6, 0xf1571bd3, 0xaf3ccfd2, 0x54c99200, 0xea68ca51,
+    0x8e03bb9b, 0x5a15032c, 0xe99a2415, 0xe62c3936, 0x206c7d59, 0xb89c9158, 0x74ce3aae, 0x2ba1da4d,
+    0x02c20a62, 0x859c38a3, 0xf4d363ff, 0x1c24f4e9, 0x9621665a, 0xca6ffa78, 0xac1f9a54, 0x7d01b106,
+    0xc73ce3c6, 0x6eb91f34, 0x0d484314, 0x2da08bc0, 0x4e2af52e, 0x8d04248d, 0x69eca34d, 0xf86303ad,
+    0x71bc3bbd, 0x91776aa3, 0x1fa052e7, 0xce0cb75e, 0xfff9f6c7, 0x16d22ebf, 0x3224fd38, 0xae4b59c1,
+    0xcb982bbe, 0x45f3d69c, 0xcf04825f, 0x9202ff9a, 0xf79fdd6f, 0xe45a1f7d, 0xf8865cbe, 0xf1049523,
+    0xbfde9c33, 0x4a3ddce3, 0x52167b1a, 0xc2e23324, 0x8215611a, 0x47f19204, 0xbbb4acb2, 0x84a72b0b,
+    0x0255cb16, 0xa4d46d58, 0xf6dbabc1, 0x0d8b6c5e, 0x72296ce6, 0x838e78ce, 0xb957a03b, 0x595d46c0,
+    0x762b1bfa, 0xfc776ddf, 0x08607fcf, 0xfba88122, 0xbf9d13f4, 0x74d40c47, 0x38c5f63e, 0xc645b87d,
+    0xaefab89b, 0xf7d85ef9, 0x0a22280a, 0xd54370df, 0xd2cf0e99, 0x8e4bac66, 0x596c0b9a, 0xb1836cb0,
+    0xb7df4b48, 0xe7af9083, 0x1f990a06, 0x7b0b3120, 0x67689ee6, 0x52aa755b, 0x891b6910, 0x0ec743e8,
+    0xd636807b, 0x553a0fe6, 0x9a5902d9, 0xe9cf67fe, 0x8392051b, 0xf534a4b5, 0xcba14efd, 0x6abad9be,
+    0x85b1da21, 0x0b8dfaa4, 0xa2f3ea2d, 0x99381ec4, 0x8bda499d, 0x42b31ace, 0xd319183a, 0xfede430d,
+    0xa81bdd0b, 0x1f00ee57, 0xcd860633, 0x6dcfe104, 0x339cd88f, 0x48611fad, 0x05a4f4e8, 0x17f16af9,
+    0xf88b5ef2, 0xd946ca51, 0x782976ec, 0x13474c0d, 0x7d1f592e, 0xd27dd1f7, 0xfef440a6, 0x9cc22474,
+    0x48e37f6b, 0x6e8e07f0, 0x400086a5, 0xbedece1b, 0x4e88775e, 0x87621b3d, 0x346e16f5, 0x8b0d5dc2,
+    0x516b8707, 0x32b0ba47, 0x44d78524, 0xb1ebc46d, 0x748ee8b7, 0xd0d0ee12, 0xab50f207, 0x019af285,
+    0xf4398f27, 0x15a13eb5, 0xd5d26f74, 0x3dd141d0, 0xf94a34d1, 0x707a2a96, 0xd576c7d3, 0xbce8833d,
+    0x00000000,
+    0xa65613f8, 0xb56601d3, 0x36ff5346, 0x853d7942, 0x2a938a5e, 0x18b83b68, 0x042c455c, 0x4c5f335e,
+    0x6fefa30f, 0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0x3fe56cb0,
+    0x00000000 }, /* 10**-00016366953039480709350065948484137995761083210230215323947416456840480668982\
+                          02337277441635046162952078575443342063780035504608628272942696526664263794688 */
+  { 0x00000000,
+    0xe9a3cffd, 0x05136ccf, 0x0a927909, 0xd57efe45, 0x3b5941cd, 0x56e8e901, 0xb82d35c6, 0x9387f75a,
+    0x83273656, 0x4edb11b8, 0x0c484ac9, 0x0b3d0ec1, 0xc9f9f837, 0x8ef3a012, 0xe328902e, 0x7acef38b,
+    0x773a5ab8, 0xbebfa9f9, 0x2df2ba82, 0xd5806654, 0x69819629, 0x72151d78, 0xbaab3459, 0x87accf99,
+    0x82d22c5e, 0xf00f80c8, 0x22e7709e, 0x49b80e13, 0x09bcf4cf, 0x47be5607, 0x2fb22e79, 0xa613a279,
+    0x6c9e777d, 0x40f8a24c, 0x3059da36, 0x25641632, 0xf21824b3, 0xcc6279e0, 0x2a871b49, 0x66f938ba,
+    0x2de25c91, 0xb2d14a6a, 0x9ae342dc, 0x2beaff48, 0xe9ae499d, 0x59872e55, 0x10765cfa, 0x570ca364,
+    0x9a717907, 0xa1037a0d, 0x4f993dff, 0x468dc332, 0xeca12c4b, 0xc9128033, 0x3449f265, 0x47c220af,
+    0xf67629f8, 0xc31dfb2f, 0xb3b1de62, 0xf9e3eeb3, 0x572c7cc9, 0x7af087b9, 0xac2f4924, 0x4b1eccb7,
+    0xb83f78eb, 0xc2e59358, 0xf9546419, 0x20bfb622, 0x207fa600, 0x1deb4c6e, 0xd62e5cc7, 0xf4443506,
+    0x55207cf0, 0x5b0a01e3, 0xb9eb513e, 0x3efc2df6, 0xdd6baafe, 0x970cfb39, 0x37c836f0, 0xb6eec945,
+    0x043bd16f, 0x3ee6a424, 0x99c6d4ae, 0xe90010b9, 0xd3a66661, 0x944db350, 0xddccfaeb, 0x33d807c0,
+    0x5660a0c8, 0x139826ad, 0x8ff457f7, 0x03ec5f60, 0x78236e1d, 0x4833a25d, 0xa0de01aa, 0x392a255b,
+    0xfb041812, 0xb9fe4e0c, 0x1402f45d, 0x277b8b06, 0x65887afe, 0x6a3a19ec, 0x50e5fc5f, 0xa44d17d7,
+    0x223eb951, 0x20f825a1, 0x04764986, 0x41e9840d, 0x650fa652, 0xc154faf3, 0x830eb92c, 0x77d922f1,
+    0xe30ac6cb, 0x3a73bba9, 0xc51ba676, 0xe31ce8f6, 0x5e7de275, 0x247ab833, 0xe256b405, 0x037c6b25,
+    0x97d34dcd, 0xdcea7bcb, 0xe823c7d6, 0x77aa7f0a, 0x2712795c, 0x429317cf, 0x9429457d, 0x29026752,
+    0x9c5482dd, 0x863cc16b, 0x0e21c53f, 0x36ecaaa6, 0x80c679a0, 0x2f7dbe49, 0x81fa9fb8, 0x12ca017e,
+    0xa7f7df31, 0x79b31a27, 0xfe6a56a3, 0x1bea49fd, 0xdfefca7a, 0xeea1a6e2, 0x5ca9d8f3, 0x198e7b39,
+    0x4cad0bf0, 0x8bc43cc7, 0xed1fbe7e, 0xef5384fe, 0xdd2ba244, 0x8489d292, 0x1ec59dbc, 0x80c9451b,
+    0x2fcb2c86, 0x46841e68, 0x11fe94ff, 0x24446d2c, 0xcac295b2, 0xa90c116f, 0x94527018, 0xfebcf79a,
+    0x19b957e9, 0x986589c9, 0xf52a1ccd, 0x9ec29b0f, 0xf8140476, 0xfe0588bd, 0x1582295d, 0x8b1a8fea,
+    0x70d48876, 0xdced7b8a, 0x71be9567, 0x9408e7c2, 0xee74183a, 0xab22b1fd, 0x35c2aefb, 0x82196c57,
+    0xa2c2dcc7, 0x6d6a0029, 0x2402d280, 0x48e4d973, 0xf9d396e6, 0x7466c103, 0xad3c1ccf, 0x1bcc1a02,
+    0x6e289988, 0x4f1ed46e, 0x54a2f095, 0xf7b04cd1, 0x03e05624, 0xeaa92953, 0xfd16fb4c, 0xda7785e8,
+    0x59751fbf, 0x4e67b064, 0x9883580b, 0x1161c001, 0x3e5f6cb9, 0x17714067, 0x246ea392, 0x6d0e0515,
+    0xcad592ef, 0xb3f1be90, 0xb809c901, 0x33171e8c, 0x8c961a9b, 0x62e46ce9, 0x390fe042, 0xabaa9418,
+    0xf245bfcf, 0x4ad551bc, 0x0d00645f, 0xd10b4194, 0x0de96a18, 0xf4ca84bd, 0xe186ee9c, 0x146856a8,
+    0x55bbfeaf, 0xca2511c5, 0x9eefb9d7, 0x3ffc971b, 0x10566511, 0x94d1170e, 0xab62b8e5, 0xff657bad,
+    0x4f478cc6, 0x9418a8e8, 0x4ed4a080, 0xbd40f0b3, 0x594e5cb6, 0x871bc8fc, 0xa0dd6d30, 0x8a101614,
+    0x7fd8d147, 0x0cd88aa4, 0x7200abc0, 0x3aab7371, 0x012ae4c9, 0x02cff6b9, 0xc9388eb7, 0x77d9b48b,
+    0xf4fd9d5d, 0x873fdaa7, 0x2ba34e68, 0xa472b56f, 0x1ced51d3, 0xc3e47f2a, 0xf55532c8, 0x96cdd951,
+    0x1c3a0f50, 0xaae60221, 0xfd804113, 0x2fc11335, 0xb8490218, 0xd66f174a, 0x0b2173d5, 0xc10c02bb,
+    0x3a192f6c, 0x783bff5f, 0x7ff01ff9, 0x4abb670e, 0x3a3fb285, 0x3170a95c, 0xca7f8f8c, 0x25f79169,
+    0x0beec4f3, 0x29f46757, 0x51a2e841, 0x35ebd621, 0x445ed276, 0xab5939bd, 0xab658719, 0xc59c77a6,
+    0x18ff5b13, 0x5ff62e3e, 0xa26a8952, 0x7b8212c0, 0x1507c643, 0xc48c16c0, 0x51a255f5, 0x0eebf3c4,
+    0xf34ce0bc, 0x01201484, 0x6d3b4c12, 0x6f89cb60, 0x6e3631e6, 0x34f30024, 0xf3554ebe, 0x3380d133,
+    0x5c5d548b, 0x75053f79, 0x5792d5b7, 0x04ef504e, 0x64f9c3cc, 0xb61da62f, 0x3de04a55, 0x40a11571,
+    0x767478fc, 0x1f6204b9, 0x41bb256a, 0x9da0f9ee, 0xf84fd2a6, 0x947abf44, 0x97b7a764, 0x2f5cd1ba,
+    0xae06c274, 0x8b0fed52, 0x386e0376, 0xcf6f2694, 0xe4814214, 0x40c70df6, 0x8fff3987, 0x6424ed9a,
+    0x3219f234, 0x0c7331bb, 0xb1efa181, 0xd886c926, 0xa5b005dd, 0x3e572627, 0x5e293e74, 0x0592471b,
+    0xbcd583d5, 0xab57782e, 0x88e97e1a, 0x8a8c05b0, 0x128dadbe, 0xcfe3e1c3, 0xc7cc3159, 0x4ab1d701,
+    0x7b8dd52b, 0x6944341c, 0xd03f1a0a, 0xefd8e5c4, 0xdf0d2c81, 0x1f81c9ed, 0x9c45bf1a, 0xf47c3521,
+    0x4d8bfa04, 0x8efb3558, 0xb8ff6e31, 0x84bcffb5, 0xfdb17845, 0x8e349a6c, 0xc555c5a2, 0x65ae0885,
+    0x203ae3e5, 0xf9fcc4e5, 0xbee66b15, 0xbc244cdc, 0x55b5e441, 0x93a26d1c, 0x081d3c57, 0xc2ba6769,
+    0x325c8d85, 0x8bf3743d, 0x1a946951, 0x6a95b601, 0xef5208c3, 0x4eafa6fc, 0x79751742, 0x75a48463,
+    0xe50af307, 0x96f97e7d, 0xeebbcd25, 0xd9ea53bb, 0xe6fef938, 0xbcfcd9a6, 0x2489b836, 0x2cab1b70,
+    0x362a1434, 0xb5195c83, 0xaa51fd0f, 0xc7d5ef5a, 0x9944be6b, 0x74646a80, 0x9b632cc2, 0x6dfbc3d1,
+    0x1e86089f, 0x981b1832, 0x121ac8de, 0x8b576d57, 0x882c5613, 0xe396facd, 0x6bacc698, 0x36302065,
+    0xc6800059, 0x8db5f925, 0x44f914b1, 0xa8c73dff, 0x72cd44c1, 0xc10f642c, 0x1a1fe17f, 0xd8f41d44,
+    0x6c572187, 0xab80065f, 0x1c66bbdf, 0xff007a89, 0x25e66237, 0x0576e6d2, 0x87ff6ca6, 0x378a16df,
+    0x2a505972, 0x1824b107, 0x735d0540, 0x23d272b5, 0xe40d726b, 0xc108e047, 0xebc2e8d9, 0xff642324,
+    0x8ade0988, 0xd09d4eb1, 0x31ef50c6, 0x44509357, 0xe9dd5429, 0x177498f7, 0xac34728d, 0xb00eb637,
+    0xc58ea891, 0x763865af, 0xe34c53a1, 0xb7ce46ec, 0x0cbae892, 0x19147c4c, 0xd75507d0, 0xe3d0065c,
+    0x832d1147, 0x1d75fbd8, 0x5ddf7978, 0x3e5ec4e8, 0x7afba421, 0x0ff32ada, 0x97a0bb0e, 0x508b0be3,
+    0x6a546f36, 0x52e51201, 0x2408cc22, 0x3ced56a0, 0x158920d2, 0xa369ddc0, 0xe0dc4527, 0x3a64571c,
+    0xb8125dba, 0x36461a63, 0x8a06ff3b, 0x70084c0c, 0x7f98c7d0, 0xc6cfe1d3, 0x983a1e47, 0x23418166,
+    0x3ababed4, 0xe96de230, 0xa4d5ce04, 0xbe4a6043, 0xe8adcf01, 0xc494cd35, 0x7e8bd6aa, 0x5b1214fc,
+    0x3af91c6c, 0x26ec9acc, 0x778773b1, 0x48da612d, 0xdad50bdf, 0x2caa0e15, 0xee366b32, 0x75034ad1,
+    0x65ce2de7, 0x0af04fe4, 0xb8e00754, 0x2b2de816, 0xde80f756, 0x9a4df60d, 0x3476e862, 0xabf6a0e4,
+    0x1808532f, 0xb5d88999, 0x5585305e, 0x7ba755d7, 0xa621cb53, 0x7c8b72da, 0xbad90186, 0x26a420a1,
+    0xd2274644, 0xf6e58211, 0x51f4a530, 0xc0f16ff4, 0xef04ab4e, 0xa417e8d7, 0x592a01db, 0x1040d98a,
+    0x21cd2664, 0x4f47afa7, 0xe6331cd1, 0x8bf723e4, 0x79aa4c36, 0x17c26dbd, 0xa1069af0, 0x9ce3b68f,
+    0x3e08a478, 0xa9157c79, 0xc205cdf4, 0xb1531a10, 0xbe173a35, 0x9456f415, 0x61d94118, 0xa813cc91,
+    0x9c4c0368, 0x1d875fc0, 0x016d9e88, 0x6adfe406, 0x7ac9d04d, 0x4f6593b8, 0x24ee1303, 0xfd745cb5,
+    0x45d9be2d, 0xa8364e0e, 0x1d3962a5, 0x62de68ff, 0xda1eff2b, 0x1bbb34ad, 0xdd5f2a11, 0x1e620f42,
+    0xcd7af331, 0x4d2f3d96, 0xa1f6d73f, 0x23fe3659, 0x4ae12903, 0x310856cc, 0x4f7ff660, 0xabd850da,
+    0x4fdaf950, 0xa124e208, 0x129c7f38, 0x55ea621d, 0x2af6ca82, 0xa3370e99, 0x841ffcb9, 0xe4578100,
+    0x11a055aa, 0x180734c6, 0xa3d5bc74, 0xc81afdba, 0x61cb0aac, 0xe05f5216, 0x85b93e25, 0x7ffcca13,
+    0xe65fa3f3, 0xba63bb5f, 0x18db18a6, 0xca284162, 0x0dd069c5, 0x550bdba8, 0x4a74f829, 0x12309975,
+    0x067666fc, 0x7bdcbab9, 0x5c01d9d3, 0xda2257e0, 0x3fb66eca, 0x449626b5, 0x9fae1288, 0x933e3333,
+    0xa841e703, 0x467efb3b, 0x11c5fd0b, 0x4183f12b, 0xfc519433, 0xcc6ff445, 0x1735625d, 0xf17d4b8e,
+    0x85ee6e26, 0xf12cdf60, 0xa7590195, 0x353f49b5, 0x74730f3b, 0xe11745c9, 0xc64cd3de, 0x6fa10e6a,
+    0x3a1a2e88, 0x872827e0, 0x3f8ff3bc, 0x2eacce3f, 0x5ebabb1a, 0x9af72368, 0x3cd3b28f, 0xfe357121,
+    0xd162014b, 0xdbe8c865, 0xcb47e685, 0xecc27dc5, 0x55f3befc, 0xc8c4af8b, 0xaee27533, 0xcff12954,
+    0x4aead954, 0x9302abbd, 0x76e1a14f, 0x09ac01c0, 0x3cd95e20, 0x0f62acbe, 0x7fc5fe8e, 0xed84f25e,
+    0x5c2e7a82, 0x0dcb923a, 0xa160a4c4, 0x8f362b9a, 0x3b677378, 0xf7810027, 0x0581ded0, 0x1ddd3be0,
+    0x86156a59, 0x0810257d, 0xe4bbacc9, 0x75327b3e, 0xc574c664, 0x6129447e, 0x94f32d88, 0x36a89a3d,
+    0x761691b7, 0x1dddf150, 0x7c16d59a, 0x6473cd1c, 0x9aa23645, 0xef6d114b, 0x9987ef38, 0x583a1167,
+    0xf8eacd35, 0x573274a8, 0xf8efabfb, 0x5002b000, 0xb023cb2d, 0x945753be, 0x120d7637, 0xdb26bae2,
+    0xce5cacae, 0xebbc6c8d, 0x97ee975a, 0xd418f29d, 0x5e15e0e7, 0x85ca86e5, 0x73257993, 0xdf6baa62,
+    0xedbf73a3, 0xc3173d32, 0x2451b936, 0x491bdc1b, 0x01158937, 0x6e39afa8, 0xcdb548ac, 0x70b85b63,
+    0xf449cde1, 0x5023bf0d, 0xd7baf432, 0x356ec410, 0xc204e779, 0x8d509445, 0x1dbaeb18, 0xb4978d6a,
+    0x2abbcb68, 0x177a5e26, 0xf318c521, 0x8c216f06, 0x38d5c4d4, 0x8ce69ba1, 0x1cd8befd, 0x5dce29ed,
+    0x12ee4b81, 0x83b6878b, 0x76059739, 0x2211e098, 0x13922ab9, 0xa1316858, 0x73e39953, 0x22cc2b0c,
+    0x3b2f6549, 0xd8fb30fc, 0x7af414d3, 0x33d26a59, 0x9fff203a, 0x5e767aac, 0x997398e2, 0x9ba09916,
+    0x25ebe860, 0xe5b857fd, 0x4145fc57, 0xf3783e96, 0x6a978480, 0xb9d04696, 0xa988f994, 0xa8d487dc,
+    0x64225af6, 0xf986458d, 0xd660193a, 0xa57f1492, 0xcf961247, 0x71441171, 0xc6975bfd, 0x9729f3b0,
+    0xd5972be6, 0x3d4bf6f9, 0x49c3cbbc, 0x7090a1f5, 0x75a54ea2, 0xe0ca5ca9, 0x09e9d4ee, 0x517f984f,
+    0xc3b43004, 0x79d422ac, 0x77d5df77, 0xa7a7ecf9, 0xebc08311, 0x56124f90, 0xbb464c68, 0xc6b08712,
+    0x9bcf8686, 0x9acc65bb, 0x3c3594b3, 0x6f871481, 0xf2aa1abc, 0x06adc975, 0x904a0df1, 0x827a880c,
+    0x08e873bb, 0xa9a62a4b, 0x1eeed323, 0x7cfb5338, 0x73ebbcf2, 0xf4093b83, 0x4e464cce, 0x89e794d0,
+    0xa4442886, 0x031f80e7, 0x5425b7d1, 0x57987da8, 0x447de1a6, 0xe762ec24, 0x5eb853fc, 0x42de30cc,
+    0xce5b8c06, 0xf87d2aee, 0xe2832844, 0xe0a45646, 0x0a45ef3d, 0x2855056b, 0x26562c6b, 0x372bae3d,
+    0xd32885cd, 0xb2ac65d6, 0x5a4aff3c, 0x2e6156d9, 0x3d5aa54a, 0x59eab812, 0xd4c61f8f, 0x895cfd3e,
+    0x288e79c0, 0x745585b5, 0x66086421, 0x109f5bdb, 0xf38c153e, 0x5a449525, 0x56423772, 0x19dc224f,
+    0x3675e5c3, 0x3a2c9463, 0xe2703c11, 0x363fcd63, 0xea6607b9, 0xa1ff6e3c, 0x1e901dd7, 0x2b6ceb00,
+    0xb8248a4c, 0x64660509, 0x5481023d, 0xf39e2da7, 0x4cb95a07, 0xbb7762e5, 0x54430197, 0xcd51748e,
+    0xce1bb094, 0x669404d3, 0x863743d1, 0x697aa0cc, 0xcdd1c9b1, 0x4474f567, 0x3981d2be, 0xf3ad3fa9,
+    0x3ed0b066, 0x972bf646, 0xa813b3cc, 0xd22c3170, 0x1744172c, 0x7ff95b7e, 0x6076272a, 0x6726fd60,
+    0xd7d2c0b8, 0xd6c1eb31, 0xa3e8ddea, 0x3ae54912, 0xcfa593f4, 0x83fc41bb, 0xf4316f16, 0xb144a287,
+    0xc2613c7a, 0xfd194f82, 0xbd424b33, 0xaa160fb7, 0x397e799c, 0xd49014f3, 0x34179eec, 0xa593a4c9,
+    0x89fa8c52, 0xf13dd0aa, 0x30d66823, 0xad509224, 0xb1f0baea, 0xc8384806, 0xd2ca822f, 0xaf992023,
+    0xaa83edb7, 0x2856a9dc, 0x3804e607, 0xf35763de, 0x16121d6a, 0xc9f301d1, 0xf6f27032, 0x05da13b8,
+    0xb48e7f51, 0x22644576, 0x0740fe78, 0xa72a3b99, 0x6949b12b, 0x23478223, 0x9577fe35, 0xc315977f,
+    0x5ab5baef, 0x24b6fbba, 0x2005a5ee, 0x04b7c764, 0xf1c433cb, 0x50f7a5f1, 0x6bc1836c, 0x259b3469,
+    0xcfa8cd87, 0x1455df3d, 0x3e3715fe, 0x9ea8f6e7, 0xd7511c9a, 0xd5997053, 0x3dd99200, 0x24318c04,
+    0x7b707ada, 0x342b5888, 0x23618aed, 0xe335c2cf, 0x193bff92, 0x02d3bfd7, 0xcd7340f5, 0xe936fef1,
+    0x1bbc51ae, 0x5fc82abc, 0x7dc32e2c, 0xfeda942b, 0x401d19b3, 0x200b51e8, 0x6b9af5c7, 0x1f876c01,
+    0xa684b7d4, 0x0d02480b, 0x9435299c, 0xb54422d8, 0x5b6c1a4c, 0xd7e43f52, 0x4cb0bfde, 0x0f0ecebf,
+    0xeca7019d, 0x625d0fc0, 0x4571e3e7, 0x5b1a3a9a, 0x0472cab5, 0xba8f409c, 0xff1451dc, 0x88bf08e2,
+    0xadb316dd, 0x289b26f4, 0x38c247fc, 0xaee24e98, 0x64bfdcff, 0xb9620a7e, 0xbaee0ccd, 0x3faab63e,
+    0x28c4ff1a, 0x56f20245, 0x3ad0c840, 0xb6ab7b1c, 0x4a436a26, 0x0e1ed69c, 0x47638772, 0x393325d9,
+    0x80979617, 0x96ea2753, 0x5aaa082e, 0xe31abbeb, 0x8b984066, 0xc4013017, 0xbdf3b726, 0x93ec2b7b,
+    0x1ff40633, 0x90a658e6, 0x2c7041e0, 0x5fd438f1, 0xdf1db6e0, 0x7c63f05f, 0x965dede8, 0x481e516a,
+    0x1b98195c, 0x8fdf6e2e, 0xdf40f8a5, 0xaabfe6f8, 0x7d6bb01a, 0x06f5fa39, 0x01c8f2a2, 0x07565a47,
+    0x70bca6d0, 0xd7c63cb7, 0xb59f2628, 0x1147444f, 0x1120375f, 0x2cef0cb5, 0x7699aa30, 0x891d3926,
+    0x87d6a4ab, 0x58d22347, 0xb7f42759, 0x9da948e9, 0x229bf2ee, 0x32c5a5cb, 0x8f6ceaee, 0x7d1fa862,
+    0xf8e7c0db, 0x917d3805, 0xe2e5dfe2, 0x1bd2ba76, 0xb451b233, 0xb7b14c7e, 0xd3eabeb4, 0x848200e5,
+    0xb2e7969d, 0xb1c5bd10, 0xdc0cacc4, 0xc0082e09, 0x1896b03d, 0x7866474b, 0xb0ee8ced, 0x837daffc,
+    0x326e123a, 0x73b7080f, 0x4dd821e6, 0xa0875784, 0x2afd1fe5, 0x0a533100, 0x9a0cb02d, 0x6a74688f,
+    0xfc466b4c, 0x03c3c192, 0xe5d4068f, 0x7d3bc5e5, 0x71e2af8d, 0x05858cd1, 0x2d14bfc3, 0x79e99cf0,
+    0x53494120, 0x993831d6, 0xd448a88f, 0xd05cd151, 0x07ce5a91, 0x64e71b57, 0xcb72826f, 0x9074a470,
+    0x222bbc04, 0x062191fc, 0xdee767e6, 0x2662c5ff, 0x67c7f272, 0x6665ff8d, 0x6e78da64, 0x4881a366,
+    0x025029db, 0x043beb1f, 0x1e1a6936, 0xf7396324, 0x6f346f0e, 0x556e0218, 0xda32072f, 0x02c71419,
+    0xafc66656, 0x9d8a103d, 0xf05c0b1a, 0x55ecff39, 0xd7f88746, 0xd798b4ad, 0xff11e1e7, 0x3cd26176,
+    0x0310980a, 0x4ff9126d, 0xf602307c, 0xe755cc62, 0xa43b9de4, 0xa9f5e294, 0x26fd3eea, 0xdbe90557,
+    0x00000000,
+    0xd32b09fb, 0x5ab300e9, 0x1b7fa9a3, 0x429ebca1, 0x1549c52f, 0x0c5c1db4, 0x021622ae, 0xa62f99af,
+    0x37f7d187, 0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0x3ff2b658,
+    0x00000000 }, /* 10**-00008183476519740354675032974242068997880541605115107661973708228420240334491\
+                          01168638720817523081476039287721671031890017752304314136471348263332131897344 */
+  { 0x00000000,
+    0x429e50ac, 0x922e03c9, 0x15556ad8, 0x60a170fd, 0xf8d8ff24, 0xa7b84aa6, 0x41249ca3, 0x4785869e,
+    0x6e4a532a, 0xdf2c65f8, 0xa234ea95, 0x63bf825d, 0x02c32873, 0xfd0b665c, 0xeb2f6687, 0x16230bb6,
+    0x9d168749, 0xf7e8d8bc, 0x9f1395ac, 0x01c8721c, 0xde1b9e4e, 0xfdf44e5e, 0xd18f802e, 0x9ead2695,
+    0x5e541618, 0x0edf0c70, 0x812a6cb2, 0x3aa62f3a, 0xe7137e2e, 0x6ef10fec, 0x626a7064, 0xe7e77bfd,
+    0x798d9063, 0xb34cc200, 0xdf716bc9, 0x0664cf88, 0xf03ce706, 0xe139e558, 0x734f6e79, 0x660b82c1,
+    0x81e5f95d, 0x662a7926, 0xbcbef8cb, 0xa49586b5, 0xb14854c0, 0xcf99aaa8, 0x88f1f968, 0xb4874de6,
+    0x575a42fe, 0xf99603e1, 0x91890727, 0x2312ed3c, 0x60818a08, 0x20c0e7ea, 0xb385bd09, 0x75526d62,
+    0x34ed16b7, 0xa5b7e9fd, 0x473cb2f7, 0xde7634cb, 0x8cb7ff42, 0xec1efde3, 0x27c4d28e, 0xf474581a,
+    0x42cfe002, 0xfed9bab8, 0x59a6c51c, 0xe70ab5c5, 0x32153bec, 0xfacec717, 0x3c7b39a2, 0x03815e6e,
+    0xfe2c9022, 0x120746b3, 0xbaec8984, 0xddebb13c, 0x2bf20273, 0x228b81b2, 0xeb09b4c3, 0xae49f264,
+    0xf280adbb, 0x34a9180e, 0x88b115e6, 0xd6a05735, 0x3b784661, 0xcf83a39c, 0xba4f1efb, 0x8bf65230,
+    0x5bfe9785, 0xfa5c322e, 0xb38e90d1, 0x0fe87dbb, 0x504fd4d6, 0x4ef114b0, 0x511a424c, 0x126fcef0,
+    0xbd384172, 0x234eb96e, 0x877133d1, 0x9c8e5aa9, 0x6ee08dd5, 0x01984699, 0xa2bb2c53, 0x3b380ba5,
+    0x92ac3240, 0xef1bd8ad, 0x64de33ee, 0xb8cac7c0, 0x1cb8d3fe, 0xc3764427, 0x9caf21d2, 0x5a922ebf,
+    0x2d915b81, 0xe6a7c574, 0x1ffda324, 0xd0df20f6, 0xeda644b7, 0x24b3d37d, 0xa94ed3df, 0xc2c189ca,
+    0x4621a111, 0xf8b785df, 0x4ac7e5db, 0x6c36bfc7, 0xae3e760f, 0x37cfb7b9, 0xce7b1d18, 0x87a69841,
+    0x9cd6586d, 0xcf0b51af, 0xe78313ce, 0xd1357f26, 0xfdf24cea, 0xf0d26959, 0x6f513a05, 0xc0d448dd,
+    0xe52ca78f, 0xbbd70d9d, 0x4bab9456, 0x61e0855a, 0x0b51a0d7, 0xbe10edf0, 0x701eb1c1, 0x8da2b193,
+    0xe69bdfbd, 0x00536ebc, 0x06e428d9, 0x5184bd69, 0xf4446103, 0x20968b4e, 0xca47fcff, 0xe6a70585,
+    0xdd6c77e5, 0x8d61e837, 0xc5c5876d, 0x45b549fa, 0x3571bc16, 0xf0132b6f, 0x103172e8, 0xe18aad8c,
+    0xe2acc027, 0xb19db87c, 0xc8fb6d51, 0x37c6b9b5, 0x54255cf8, 0xf7fcc8a6, 0x9996dc5e, 0x56c527e1,
+    0x731ac273, 0x28c3b635, 0xa43a65a2, 0x54b324a1, 0xffc3f658, 0xbedef102, 0xfc418fab, 0x8bb37a22,
+    0xea06573f, 0xe86344e5, 0x92f657a4, 0x886e974d, 0xee81f8e1, 0x2bc44efa, 0xab7337c7, 0x0892a2a9,
+    0xd490be10, 0xdb23e9c5, 0x7a6c48f5, 0x4dc6208a, 0x94dbdad9, 0x4a850bad, 0x3cef96fb, 0x67587d6e,
+    0x4ad3ba88, 0x90618417, 0xd5886873, 0x04d66a31, 0x27371626, 0x99d90cf3, 0x17e1ddde, 0xf1f334ac,
+    0xb83f08d0, 0x1d284024, 0xe32ed4d1, 0xe2cd38af, 0x8ddda299, 0x47b3316f, 0x65c1fe2a, 0xe77739ea,
+    0x4a6009e8, 0x7df1765a, 0x5c216cb0, 0x33e2cf38, 0x7231b510, 0x5be0b86e, 0x19e89a78, 0x4609c096,
+    0xdd593818, 0xefa273e5, 0x47453e4a, 0xfca86c63, 0x98f061ab, 0x3ddaa165, 0x94a53b2f, 0xe261c678,
+    0xa2cd94fc, 0xd27aa0fc, 0xe6aec7bd, 0x49fddfae, 0xe7cc569a, 0xa63ef5c9, 0x15f6f068, 0x8e7797f3,
+    0x66abb7ad, 0x5745019c, 0x6b2deffc, 0xef0c447f, 0xc4f3ca0b, 0x6bfbeaf4, 0x3b172bf4, 0xeb3034f9,
+    0x92d0628a, 0x004edff5, 0x373d09c0, 0x72a3bd1d, 0xe3cc2f41, 0x20b8e789, 0xcb32810b, 0x2ac97e0f,
+    0xb94ce176, 0x974ff877, 0x42fc8e61, 0xc39315ae, 0x840fc69c, 0x3c76dfa6, 0x4c1a0bc9, 0xbb819de5,
+    0x1a095ce5, 0x09e1ab56, 0xbd9168c2, 0xbe5223f5, 0xd6615c1c, 0xe86192e7, 0x689190b7, 0x723e4010,
+    0xf491efd3, 0xa17462fe, 0x6e32921f, 0xb0739db4, 0x4d38c4b3, 0xbd42de5b, 0x6a5fe545, 0x5add91f6,
+    0x29293067, 0x61dd6b7d, 0x6dd58736, 0xabfe5126, 0x3856277c, 0x9b334ccb, 0x697c904b, 0x77477d77,
+    0x72dc213c, 0x000a838f, 0x31aa6642, 0x669712d7, 0x271f0e33, 0x28644b4a, 0xbb8897b4, 0xb328403c,
+    0x555579a4, 0xf2125197, 0x2687ca5d, 0xbe4feb09, 0x785cd8d4, 0xee1b85e6, 0xc12cc671, 0x2910e911,
+    0x30cfc94b, 0x72b69416, 0x976f19a8, 0x8a16d19a, 0xf1221cc4, 0xc508c142, 0x7e715023, 0xa1176933,
+    0x930dbeb3, 0xdd8e9eab, 0x3862e90f, 0x6fd24bfe, 0x7a3235d8, 0x7bc06622, 0xae660f4b, 0xe3444d29,
+    0x74d08e47, 0x46933306, 0x11a0b40c, 0x8d4ca616, 0x87bc99d2, 0xe302a287, 0xcdaed6db, 0x4d89277d,
+    0x9906616d, 0x9f68cef5, 0x36747e4b, 0x3d43b8d9, 0x7ab5a39d, 0xb24a8540, 0xcc0cd50a, 0x6eb0499d,
+    0xf828d4c2, 0x4ce2fbc0, 0x39b5ec26, 0x12fce8ea, 0x1e96aab7, 0xe4dc796c, 0x5b86e822, 0xb1d11ffc,
+    0x226c6c1d, 0x1a30f656, 0x1331fd2d, 0x8a99911c, 0x603ce0de, 0x54e8b97e, 0x90785cbd, 0x79163a73,
+    0x96a0abe6, 0xf9445ae3, 0xd7603cb9, 0x74e6fb63, 0xc3a49f80, 0x15612a98, 0xa6fdf13b, 0xe53313b1,
+    0xe9dfb4d8, 0xc8b21c03, 0x75332c07, 0xe9c18d23, 0x330739b1, 0xe285810e, 0xc6d2db0e, 0xb77a6151,
+    0x42b150d6, 0x1cd02a75, 0xec872da2, 0x8ca4925e, 0x666f02b1, 0xd0baade0, 0x53d124db, 0xdb03e1a9,
+    0x4672dc22, 0xf8fc7ac6, 0x2fb5dfe6, 0xe0a1ceaf, 0x737ab47a, 0xd0a23cab, 0x27062695, 0xdc5056df,
+    0x33e8c40c, 0x14bcae5b, 0x225f44a8, 0xdede17e6, 0xe9f5f044, 0x801bc8f5, 0x36992f49, 0xc4d50963,
+    0x96a9fff4, 0xc3f23db2, 0xe269f85b, 0x96a2cb1b, 0x37b0a61a, 0x9ffb96eb, 0x98897204, 0xc6069c2d,
+    0xfed34106, 0xf0f965d6, 0x959f119b, 0xa40c7bb6, 0xdf2043ec, 0x2747e9a9, 0xaca7eff1, 0x1d75c4eb,
+    0x1cac0f5d, 0xcd1d792c, 0x52e75bf6, 0xbece109e, 0xfe78c570, 0x2d9e4a7f, 0xe834bede, 0x10cf2aae,
+    0xa09326c5, 0x601bd7cd, 0x98b478fc, 0xbcef9116, 0x350a9d48, 0xdefc39b7, 0x67f97fc1, 0xdaad3e7f,
+    0xfbdb34e8, 0x7607ce3a, 0xcf6079f2, 0x709979d4, 0x6666ddfd, 0x01c50aed, 0xd1aa6225, 0x5c8c00c4,
+    0xf6952417, 0xc7428251, 0x9891a05e, 0x98d26f78, 0x8499944f, 0x2c23a026, 0xc0d2cdca, 0x0a127d39,
+    0x812bd433, 0x2689c031, 0x3aa75b08, 0xa089e882, 0x6b830e90, 0x98694ed6, 0x90d5eda6, 0xdd04bb2c,
+    0x7053fa7c, 0xb9fda718, 0xc0fb8a99, 0x0ea720e6, 0x9e6ffb40, 0xe98fb2d3, 0xba3832aa, 0xf8b1261f,
+    0xeb3d6b70, 0x70b38c3f, 0xb5e1481b, 0x1fae78a4, 0x56efb5a8, 0x2e549b08, 0x577bb1b2, 0x4324c0bf,
+    0x258d2f17, 0xc54fd68e, 0x45af86d6, 0x3fc0b6ed, 0x8e63a74b, 0x6a16f1a0, 0x7d4eb6f3, 0x5915e56e,
+    0x4bffc7ef, 0xb0f1b128, 0xa59aaabf, 0x391d6c2e, 0x7dfc741d, 0xb7f0c4d6, 0xd4de46db, 0x82bada23,
+    0x363bd470, 0xbe81c273, 0x80bb117c, 0xfc013b67, 0xb59b9aa5, 0x1d5eccd9, 0x810e9cda, 0x3de02714,
+    0xaa48d16f, 0xcea63426, 0x9844e282, 0x2548769b, 0xdd806156, 0x00709a59, 0x91db84c5, 0x4b9f4d14,
+    0xb6930531, 0x00d7ee43, 0x02613728, 0x3e729a30, 0xd704d063, 0x78045db7, 0xcafa3518, 0x6d458265,
+    0x679e8d93, 0x2d10a6c4, 0x81afa093, 0x4d9fb7cc, 0xcf56bd6e, 0x990d993e, 0xb2085093, 0x0a944299,
+    0xe72a6260, 0xe399e728, 0x1a0e49b4, 0x8e44cdb9, 0xf3bb640c, 0x25fee274, 0x852e1cb1, 0x3eaf7eb7,
+    0x459147f7, 0xa2509771, 0x958ea9a4, 0x6ef451bb, 0x48bcf712, 0xa8ba3d72, 0xbe9bde5a, 0x6bc91370,
+    0xedba3f9d, 0x522a30ef, 0x55d4da8a, 0xd88a6b97, 0x6d911fc4, 0xd9b61262, 0xb394d2a6, 0xc5bf83d7,
+    0x6310e5ff, 0x85bf332a, 0x3b603987, 0x6a72aebb, 0x1210b042, 0x85d8fe3e, 0x8b3ef704, 0x2c863b2b,
+    0xa17fec6e, 0x6d2a6ae0, 0xdff7660b, 0xaeda4a4d, 0xd6f0524c, 0x625d2b6b, 0x9533fa06, 0xb8739819,
+    0xeb8d769a, 0xdf8b6420, 0xa8d993cb, 0x3c459e17, 0x99b1e7f8, 0x247d1052, 0x3e3e6b5b, 0xea22704f,
+    0x843c8d25, 0x7defde02, 0x8e06ca17, 0x32721491, 0x11b27396, 0x2e03a0f8, 0x784d594e, 0x0f2e49d4,
+    0xbb62b74a, 0xb224046d, 0x15416f0b, 0x98b0694f, 0x8f805354, 0x9a8847f3, 0xc2acd962, 0x24be38ca,
+    0xb807e13f, 0xc7bb35bd, 0x8ba5ba73, 0xcdcf56fd, 0xdadc2804, 0xa9a22ae9, 0xe6e5fec1, 0xc3ca5a33,
+    0xc040388b, 0x1b388b34, 0x02999a49, 0x4616743c, 0x3874453d, 0x2258787e, 0xbbbfd4df, 0xe47907c4,
+    0x449dfe70, 0x36c98988, 0x666c3d9d, 0x4dbbe55b, 0x729898c4, 0x196d2a8b, 0x58447c27, 0xfbfe7f58,
+    0x99e91252, 0x1b626eb2, 0x0c048b9b, 0x93465b96, 0xcd5ea60a, 0x56dd8135, 0x54493141, 0x4c7f4e17,
+    0x2ec5d002, 0xdf3c4876, 0x90598a4d, 0xebeada93, 0x97045092, 0x9c765d81, 0xcd9793e8, 0x0f061870,
+    0x18fb0246, 0xc984d9a7, 0x75fb2ac0, 0xf2d792a6, 0xba1079b6, 0x5a7c1490, 0x97986547, 0x68717083,
+    0xb22c28b8, 0x4e1d7b44, 0x9b184561, 0x68b9b2b5, 0xbd8823ae, 0x9457aa54, 0xf2c256cf, 0x02cbaf60,
+    0x81d90782, 0x25654653, 0xa8fb8b7c, 0x92672e18, 0xd6d7ca73, 0x76265d99, 0x2b06668f, 0x9ce29895,
+    0xe1ea9411, 0x8372e9dd, 0x6151e771, 0x1a418a52, 0x237fffea, 0x3284061a, 0xd26a89b9, 0x7a5afffa,
+    0x4213f411, 0x4f1682f6, 0x175627d1, 0x4629cbd3, 0xc5c9890e, 0x04a37b49, 0x90683da5, 0x742921ee,
+    0xb766a281, 0x008be22f, 0x3fea2fb3, 0x8f9942e5, 0x259f8370, 0x4ec88db8, 0xf5bef2a9, 0xd73ed043,
+    0xe25f82bc, 0x594a43cb, 0xb9cb6f26, 0xd6260a7c, 0xe638b795, 0x58871c96, 0xb2f8f050, 0x78035d95,
+    0xeec4c1ec, 0x7381e578, 0xd3ebc339, 0xd32acd22, 0x491062c8, 0xcf221520, 0x4276c1e9, 0x9a75293e,
+    0xdedc4dbb, 0x6bd39100, 0x5eb107bf, 0x16decadf, 0xa052a09d, 0xa0bbf643, 0x078165cc, 0x70cff58b,
+    0xff4c4b06, 0x3bbc0d32, 0x87759b57, 0xc1023151, 0xd1fe2109, 0x52d9a031, 0x4b39b9e9, 0x2b33b4b5,
+    0xf9442d8d, 0xc75e5e76, 0x0ecf05ea, 0x85a13ef4, 0x1d298526, 0x10d6f80d, 0x35b7ea14, 0xc5feb032,
+    0xea20b99d, 0x5795b5d3, 0xd5084d99, 0x5f18e72b, 0x0ffadbd6, 0xc0589038, 0xe7464c35, 0xe3921764,
+    0xb994a11a, 0xaa44c0db, 0x85afcee8, 0xdf36bb25, 0x87ed9406, 0x292fc795, 0x2f62d390, 0x9e2a9ae8,
+    0xedae9db5, 0x2153cc25, 0x68a5418e, 0xcb31fca9, 0x47572573, 0x2c45efda, 0x5b5f79dd, 0x95a04348,
+    0x27df3eb0, 0xdd3481d5, 0xe1346ff8, 0x0019ac51, 0xe301813b, 0xfd4feedb, 0x98cc3006, 0xaa9cb306,
+    0xd2f83ef0, 0x530b2aee, 0x9aa6db0e, 0x73ec384e, 0x44be40b9, 0x5308f70f, 0x5ced2a7c, 0xd4b30e43,
+    0x52a224e5, 0x841e588c, 0x69329481, 0x13075ed7, 0xb2cf7442, 0xc91aa3a7, 0xcaa3e114, 0x463b938d,
+    0x638d1f9b, 0x406a4f6f, 0xffc55e48, 0xae59df81, 0x90e93987, 0x47a4a5ff, 0x4b6d332b, 0x6352f65e,
+    0x7ebbe785, 0x378a0219, 0x9a65a85a, 0x391bac6f, 0x77ec3466, 0xc99a2185, 0x227dec40, 0xa35e9c72,
+    0x75a7c60c, 0x14c590e1, 0xe07312ea, 0x0870731d, 0x47bb8a44, 0xbeb6659e, 0xfd72987f, 0xf67a967e,
+    0xde648c85, 0x669ded66, 0x4c2b30c5, 0x446c898d, 0x61f33158, 0xb7236904, 0xfb038a14, 0xea2748d9,
+    0x4b6d653b, 0x6663474a, 0xb649fa6d, 0x21c130dd, 0xa0214a5e, 0x09331c40, 0x0f8119f3, 0x081ad8a7,
+    0xe78622ff, 0xff8fd9cb, 0xda0de970, 0x7c37e661, 0x0622d4ea, 0x635a0f40, 0x8de40248, 0x7144e94c,
+    0xfd69a065, 0xcf7ab631, 0x49471aea, 0x621c5819, 0xf740947e, 0x25139605, 0xba1c7a24, 0x3e9dc9a3,
+    0x4e400703, 0x62120683, 0xf2f62ba2, 0xc347767a, 0x94f77da9, 0xcd4331af, 0x35f96a02, 0x381804da,
+    0xed53f1a7, 0x9cdb4c43, 0x3a986d11, 0x3d2c0910, 0x6d5c6494, 0xac6e23a9, 0x71fdee82, 0x78357bdf,
+    0x95f31da7, 0x8ccd1474, 0x843cd4a5, 0x7dec4757, 0xe33d0329, 0x5066c3df, 0x744788f5, 0xad448d3b,
+    0x769b703f, 0xe16c230f, 0x342592a1, 0xe58240a6, 0x40b3c1be, 0x70979847, 0x3ef9611f, 0x6c43a1be,
+    0xf6b3868f, 0x19571b12, 0x29f2229c, 0x6e1881b5, 0xf65b6e56, 0x7069590e, 0x99ba5351, 0x8b3334f2,
+    0x1d458cc1, 0x95e93533, 0xf33145e7, 0x7cfff61f, 0x704fb426, 0xdaf6ae00, 0xcc42a66e, 0x4abd2fc5,
+    0xa9edbe9a, 0xe5ba10fc, 0x1dd88f5f, 0x211d51cc, 0xaf9f7703, 0x067d19a6, 0x0650dae4, 0xf56cb703,
+    0xe58fbb97, 0x27d1a9ae, 0x3bc271f3, 0xb7639574, 0xb84fa115, 0xd909f84f, 0xdc8f46cc, 0x654fc92b,
+    0xe5b6d23d, 0xde45d007, 0xf7341acb, 0x125518a4, 0x8f6b7ede, 0x88b3984f, 0x4232d95d, 0x5c154b2b,
+    0x0264ed56, 0x124a9552, 0xb6a35fe2, 0x2d8a5ab9, 0xb50b9625, 0x2cb37597, 0xbab07e5a, 0x0b5bf7d0,
+    0xa3133919, 0xd58aab18, 0x921aed2b, 0x04e4448b, 0xb96cffcf, 0xac3b8336, 0x768ef99d, 0x2e906b36,
+    0xf4a05b18, 0x492627e3, 0x3acb19d8, 0x9bbb9fb3, 0x58a1e154, 0x77f3d723, 0xaef921a0, 0x6f112e07,
+    0xc7441459, 0x2d2edb2a, 0xd94dc663, 0x8ccdfac8, 0x7eb97034, 0xef933dd9, 0xad6c62cb, 0xb8d44465,
+    0x417aa3b5, 0xed6ab240, 0x6470dcf1, 0x9f0040ec, 0x984c82a3, 0xda23ffea, 0x2e0a2d4c, 0x5414faaf,
+    0x0c1b3c2c, 0x0750609a, 0x87c854ee, 0x2478b6b1, 0x51afa928, 0x9f8af090, 0x69baf0f6, 0x3ed58dfd,
+    0xa9433bb0, 0xc73c0954, 0x44f2b750, 0xde272059, 0x3b8450aa, 0x72ef85a8, 0x479a3efb, 0x8ae5ce42,
+    0xc9759209, 0xfc213407, 0xc72641d7, 0x0c6ba527, 0xa67c1dd0, 0xabed14eb, 0x2c99b6c5, 0xdf8c7f9d,
+    0x936fde16, 0xee638851, 0x4ce2e1e3, 0x3ad3817d, 0xca069779, 0x172b8c0c, 0x3b73d650, 0x11205b2b,
+    0xb11cf286, 0x9980414b, 0x67b1c3e5, 0xaf6e6cd9, 0x280e4a43, 0x95748544, 0x68aa4530, 0xc3c32574,
+    0x7ec6021e, 0xec46b510, 0x957d0a31, 0x1aaed037, 0x57e75f59, 0xae058566, 0x754c8542, 0x8b92b432,
+    0xe77f1c90, 0xe3a84a50, 0xa77a5d05, 0x7a8ee87a, 0xb768f3ae, 0x62c425e9, 0x2bbfad5b, 0xfb3cb0f9,
+    0xd21ba1ef, 0x276a9d05, 0x303ba088, 0xceff5b13, 0xb720e119, 0xf63b9721, 0x27e9e6b4, 0x00f6b4c5,
+    0x83277aff, 0x25237fff, 0x65c16f2a, 0x03dbaa15, 0x39ea9404, 0xa3c4ddc5, 0xcb95588f, 0xac680784,
+    0x606345d9, 0x591a2606, 0xd007ddd7, 0xf9940289, 0x297cbb95, 0xab7db994, 0xe4692b93, 0xd6c4e014,
+    0x4498f2a9, 0xf554db30, 0x1f69e92a, 0x230ece67, 0x8a4aee86, 0x634e7311, 0x52cf2ec7, 0x8efaff55,
+    0x69167862, 0x2d5c9786, 0xc1b0a34a, 0x8b185e98, 0x3324013e, 0xf438d652, 0xa00091f1, 0xa7c67214,
+    0x00000000,
+    0xe99584fd, 0xad598074, 0x8dbfd4d1, 0xa14f5e50, 0x0aa4e297, 0x062e0eda, 0x810b1157, 0xd317ccd7,
+    0x9bfbe8c3, 0x958b724a, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0x3ff95b2c,
+    0x00000000 }, /* 10**-00004091738259870177337516487121034498940270802557553830986854114210120167245\
+                          50584319360408761540738019643860835515945008876152157068235674131666065948672 */
+  { 0x00000000,
+    0x6591c335, 0x8a48ad76, 0xc7d278fb, 0xa7609b43, 0xd64ed341, 0x8415e702, 0x702bf383, 0x81282a73,
+    0xc77e18f9, 0x6582a098, 0x8a1a2335, 0x9cb628c5, 0x289f9eed, 0x11e2f1e8, 0x20e2c8c5, 0xc67d88b6,
+    0xc25c686a, 0x2b08514c, 0xe69b5058, 0xb6c03b74, 0xc3ca2af9, 0xfb487140, 0xd061bc3e, 0x833b8220,
+    0xc8e909d4, 0x04f27e52, 0xda1bed58, 0xea0425e6, 0xfcbc1351, 0x7220869a, 0x2eacc0b3, 0xb07fa87f,
+    0x1bd054cf, 0x1ccb9136, 0xbbd1463a, 0x86d9f2f5, 0xc53025a5, 0x039ff1a3, 0xd3b42729, 0x3636b5d0,
+    0xe78fb7cd, 0x2683bc28, 0x328448e3, 0x949080ec, 0x2639ffac, 0xf52928b7, 0x691b4d2d, 0xc430436c,
+    0xd6b7e2b2, 0x24c1ba77, 0x39b1bcf7, 0x6ffa82e4, 0xc1c62855, 0x80286e75, 0x74538aa3, 0xb653b24b,
+    0x9e7500d3, 0x26feff5c, 0xfa364bf8, 0x8286b079, 0xc27ad3b7, 0xe5d8d2be, 0xaaa9cf23, 0x90599bd4,
+    0xe89d746b, 0xc8ea2ad3, 0x0ad57860, 0xe14c77c7, 0x4fec8d79, 0xf7a49bfb, 0x4bb12a5b, 0xb47c0f8e,
+    0x14b4485d, 0x311e3805, 0x446bedc0, 0xabf9c31e, 0x8ee82614, 0x552b6d24, 0x68186bb4, 0x51a28dca,
+    0x2649a9ea, 0x92a93da9, 0xf84bbe59, 0xf6903aed, 0xcd16b394, 0x452252c2, 0xa7989b97, 0xf811c51e,
+    0x8fbecf08, 0x7f639b7d, 0x2c28a79e, 0xe0dad6d2, 0x29f8deb7, 0x009b36b3, 0x3edd2cd8, 0x24d62ffe,
+    0x8a4ece60, 0xc76879eb, 0xd4ad569c, 0x39149992, 0x69eefe6c, 0x428121c4, 0x3b05ab00, 0x07981326,
+    0xf5d9e97c, 0xfc997aad, 0x2d894ca4, 0x06ab8b67, 0x03357106, 0x526fe2d7, 0x819bea98, 0x8ba3538e,
+    0x99eade7e, 0x76cfaeec, 0x367b49e9, 0x104a3152, 0x91c83169, 0x21696322, 0xa17cf90f, 0xecb75290,
+    0x4f8a0081, 0x10cabd0a, 0x9d3e0b2a, 0x1870b02d, 0xe2b81766, 0x85a69039, 0xd52c5a8f, 0x9485cb63,
+    0x5b12b4e4, 0xc29ab201, 0x3ef1a897, 0x3a15d153, 0x386c827b, 0x39dfdf56, 0x94be9440, 0x12592f25,
+    0xffc54ece, 0x4f1adfec, 0xee1af0fd, 0x3050958d, 0x283bc4e9, 0x0e65d036, 0x5f584192, 0x266eb897,
+    0x7bf9c266, 0x7ffa13de, 0xcada0eec, 0xe10dcb63, 0x65eccff9, 0x25f0e0b8, 0xc951d1c7, 0xd0281521,
+    0x4d95cc37, 0xcef34bbf, 0xe1e0529c, 0xdb76227f, 0x8073646c, 0x48a2401d, 0x3a58cbcc, 0x51a9b686,
+    0x9d67703c, 0xa4026c08, 0x2b0c5bda, 0x0a698deb, 0x0083fd31, 0x9aaa8ff6, 0x7773604d, 0xf26e6c9d,
+    0xf88b9073, 0xef1dd3ec, 0xcc4c1a2f, 0x41a95a63, 0x40da5efb, 0xf4c3fa66, 0xefcf4b9f, 0xf053b24e,
+    0x08cd11dc, 0x40d66988, 0x70561af9, 0xc5d3538f, 0x01051417, 0xab129e0b, 0x7f6383c1, 0x98303c6d,
+    0x97c2d03c, 0xbcfc9707, 0x0ef20083, 0xab5ae2e2, 0x9cc12aab, 0x148e42c0, 0xf064ddd7, 0x1a179452,
+    0x73504749, 0x0e9721ac, 0x935d7ccc, 0xc31f801f, 0xebb4e6f3, 0x679908fe, 0x34d643e9, 0x00987470,
+    0xd153a58d, 0x2fdebe3a, 0x6fa71b07, 0xe0655498, 0xea7c5849, 0xb0c7c8f4, 0x2b36dd61, 0xdbe13ddb,
+    0x0a7d2aa8, 0x47ba9b94, 0x26b23222, 0x15fd34cb, 0x3c3fa58c, 0xcc9914ba, 0xcbcca40b, 0x2f684b95,
+    0xe2d39015, 0xbfd4e8a0, 0x3134b600, 0xe42b9463, 0x56d509ad, 0xcc5d0194, 0x2a6106b1, 0xbbe11d04,
+    0xa479b186, 0xe1fe9e92, 0x01fb21f3, 0xe64a5adb, 0xa0c08110, 0xb7d306f2, 0x88c23ac2, 0x917a0349,
+    0xf5737fce, 0x5aeb0942, 0xbad73f68, 0x756b57fb, 0x8dac05b9, 0xf78fa8d7, 0x0a6cee8e, 0x5116e76d,
+    0xf3883a81, 0xd6a1768e, 0xf607e82f, 0xb70eb143, 0x54a3c436, 0xcaed3edc, 0x6b978ee9, 0x8a138bb0,
+    0x65142fbd, 0xb88e489d, 0xf52f16c0, 0x81f468b2, 0x51d2e998, 0x20450cc1, 0x6decb826, 0x9d71410d,
+    0xefab965a, 0xcaa68d9b, 0x9ce75a80, 0x7e2d6cbd, 0x6fea3a65, 0xbb55c0c3, 0x4ce5b7a5, 0x0dc5ddd4,
+    0x3a4dfa86, 0xc656b2b8, 0x5bd45656, 0xa36b4c62, 0xdd2b68f6, 0x0411f212, 0x0adea018, 0x8e33ea63,
+    0x0d784469, 0xe38c736e, 0xf1467f70, 0x4f9aa1fc, 0xd112531b, 0x5e0178e2, 0xf3ce3e81, 0x1510ea08,
+    0x27475173, 0x70c76fcb, 0xc8141472, 0x7e39f533, 0x44081eaf, 0xafc5bb16, 0xa2e39b2f, 0xa34df73e,
+    0x7eae358b, 0xc8c7c2e3, 0x8a190974, 0x7b04bf88, 0x72001fa3, 0xd17fc10e, 0x7f65474a, 0x1722773d,
+    0x540f7307, 0x2213e101, 0xe32fb872, 0xa61f4a12, 0x5ea458d9, 0x6492b9d6, 0xc70d38f1, 0xaedd2e99,
+    0x0960b0eb, 0x803758de, 0xe296471d, 0x40b0b2ca, 0x583872e0, 0x86bb6aa3, 0xc9eaa60e, 0xd35eb591,
+    0x341da99a, 0xb8d34be6, 0xa4d3f84a, 0x4be3d83b, 0xe4a9107a, 0x5d952fa9, 0xaeb3f407, 0xcd291663,
+    0xbcc7e9bf, 0x70e524ac, 0xe5a4fd16, 0x1cd418d9, 0x98231eae, 0x31d80c79, 0x9163766d, 0xc0715b8e,
+    0xe79005b8, 0x70ee4362, 0xa7974b29, 0x2d840d89, 0x35d89a57, 0xda33ffb7, 0x37a32e93, 0xb46b1c82,
+    0x78b290b8, 0xaa63d22a, 0x84309442, 0xbcf18bc2, 0x46288316, 0x1826533a, 0x55ee1a04, 0x085acf35,
+    0xe39004c8, 0xc6ed0d3f, 0x08d840db, 0xdaeeed90, 0x7a629335, 0xeef64f89, 0x198c5efc, 0xee491725,
+    0x28806d75, 0x6bcaa1b1, 0x5bdb962a, 0x215ad788, 0xbde9908c, 0x1df04b1c, 0xf1b14a70, 0x31cf0561,
+    0xb13a2fdc, 0x0e3b976d, 0xcc8bed34, 0xf13ccc91, 0x59ab31df, 0xe30b8546, 0xb1b0260b, 0x7dc7994c,
+    0x026d44a4, 0xfb31c675, 0xc3c68726, 0x5aff18c2, 0xb498b13f, 0xaf7858d8, 0xade16692, 0x2379fedb,
+    0x9a215898, 0x29e9d993, 0x9afd05b9, 0xe1f31dcf, 0x68d14f43, 0x774bb055, 0xb9f84c4f, 0x731b55e3,
+    0xaf2f40dc, 0x5a3e4ef8, 0xbfee6888, 0x9d0602d1, 0xb3eca797, 0x2f72d00f, 0xec9f9249, 0xad8c7710,
+    0xeffd016c, 0x3b1e8d04, 0xd91d9af0, 0x124c413c, 0x31228e2c, 0x0abee76b, 0xeb24b5fe, 0x40b69904,
+    0xae13cacb, 0x5414e956, 0xe7ee3d87, 0x24c5cd03, 0xda5c2e9e, 0x30326ecd, 0xcb75b647, 0x9dc15760,
+    0xcec4ed26, 0xfc2885fc, 0xd83560f3, 0xd67ff96e, 0x05582af1, 0xa3e3c883, 0xa97c72cd, 0x6a517165,
+    0x243b4158, 0x5c3bd412, 0xd117bcb6, 0x935abbe1, 0x245bd944, 0x93647781, 0x565f5dad, 0x06543c93,
+    0xb5e0b467, 0xf24191ea, 0xb8ae342b, 0x0a986f9b, 0x980aa3d1, 0xd774f099, 0x5c408544, 0xe4fc4617,
+    0x0fc4f630, 0x68c4a017, 0xdd93170e, 0x1e1d65cf, 0xecbff156, 0x6607c5df, 0x18fda229, 0xbbd1ea4a,
+    0x882cf2f4, 0x2343321c, 0x5fbf730c, 0xc99136c3, 0xe4e8013d, 0x3fdb60a7, 0x80a5fe72, 0x84741d15,
+    0x601b208f, 0x5d5f4ec9, 0xab83c4a0, 0xaf87e1af, 0x9ae63145, 0x1b83472d, 0xbb354d2a, 0x16c5c0fa,
+    0xa5a58086, 0x66dc3776, 0xeccc1da0, 0x4930404b, 0x15a2773d, 0x58380d85, 0xa5c409cf, 0x43d9ff67,
+    0x477e61d8, 0x6f0afa30, 0x2f39a35d, 0x0f16f4ce, 0xb9f2fde4, 0xfc0a6f72, 0xe3e99134, 0x85bceeb4,
+    0xfce9a04d, 0x122bc87f, 0xd725e02e, 0xbf25dfc5, 0xf9f1eb79, 0xc7f00d8c, 0x1212d7bd, 0x8e7634bd,
+    0xa50a55d3, 0x7d610038, 0x13689bae, 0xefb893d0, 0xd0edc4d7, 0x74240356, 0xa45f0625, 0x8acc7ed5,
+    0x1d7053c8, 0x6c82f9df, 0x95578229, 0xbf621812, 0x639fedaf, 0xf39afe46, 0x48966b68, 0x623b7179,
+    0x1ab1b205, 0xc60e231c, 0x7915ff05, 0x08a2cd0b, 0x5480275d, 0xa37c2e73, 0x1c7001a1, 0x449d2797,
+    0x5babbfe6, 0x65a2ef31, 0x0d10c16c, 0x0675f56c, 0x3340ca91, 0x2c25faed, 0xc0a617ff, 0x137c3123,
+    0x3e7f9d5b, 0x10a75725, 0x973210e8, 0xbe88739f, 0x63ebf74d, 0x68cb8b30, 0x05f78e6a, 0x5ef302d9,
+    0xd27b4079, 0x60527606, 0x9f4af940, 0xed07ed9e, 0x8002eb70, 0xc0224f28, 0x82390008, 0x61adb5ed,
+    0xaaec63cb, 0x31ea581f, 0x9da24252, 0xcc796bf7, 0x7bf0e8c5, 0x6349a61d, 0xf6a0b006, 0xf9dedf74,
+    0x50848fa2, 0x399076d3, 0x13d89cec, 0x1c5b79ae, 0x9a3720e8, 0xdf5a0cef, 0x971c20b5, 0x9b8c0d26,
+    0x5af0728a, 0xa93b4b8c, 0x7251d958, 0x07e49d33, 0x9fe9e786, 0x6a01991c, 0x543e3f8e, 0x3a91d53a,
+    0x9619b3e2, 0x341c8ecb, 0x06486bd2, 0xcba2e854, 0x602d0aaf, 0x1dd66bd7, 0xae971f5c, 0x93a45ce3,
+    0x303e5043, 0x61c90657, 0xea1b89dd, 0x53025a24, 0x158c811b, 0xb91c5774, 0xe8aa4728, 0x35d13334,
+    0x52c2450d, 0xfb846b55, 0xde3ce7b5, 0x2dae0d65, 0xb2b35208, 0x59f0ee82, 0xac5a8664, 0xb9f9ee99,
+    0x8580c8f7, 0xe10fce75, 0x8282182c, 0xf0808121, 0x9758e611, 0x999dc626, 0x7ea11898, 0xd3a43aae,
+    0x44c836ad, 0x42b5e6d1, 0xe5e8e910, 0xa579a30c, 0x1167d7da, 0x1938a091, 0x5397c93a, 0x8aea7de0,
+    0xc2e992b0, 0xa1f5554e, 0x42c3b819, 0xfe8a8d58, 0x20ffdbba, 0x4fcf70b1, 0x39d34b42, 0x495daf65,
+    0x4b4a420f, 0xe5f535bc, 0xe74ffbd8, 0x580f9a6f, 0xaa599dbb, 0x6c409e37, 0xf26c300e, 0xaadc8b19,
+    0xf36d0132, 0x0b400772, 0x6b58d562, 0xf4b37ec4, 0x0502c01c, 0x58639336, 0x76618aaa, 0xd142ae25,
+    0x7376d0cd, 0x47b289a6, 0xe9349d9b, 0x9bf3e823, 0xa5e04d7e, 0xbdee25a2, 0xab4f46df, 0x018aaee5,
+    0x0c6e9968, 0xa9fc04af, 0x2be80009, 0x6ce06e02, 0xde454924, 0x76135411, 0x8492ec14, 0x8fe5d550,
+    0xc3dce7d8, 0xd6042eba, 0xf1b2c514, 0xc020607f, 0xefdaf402, 0x759b1b7c, 0xfc61755b, 0x3f93c314,
+    0xa01f88f9, 0x7c9ff427, 0x9abefbab, 0x81adf277, 0x34b7ab4f, 0xf0711829, 0xce1e38b6, 0x5a7055b6,
+    0x5b718476, 0xe261f855, 0x4545c84c, 0xa13b0c81, 0x11af7f86, 0x678b2506, 0x22530101, 0xf819889e,
+    0x66a26add, 0x2c51475e, 0x7104fa2e, 0x227386f7, 0xfa29697e, 0xc797b396, 0xc792d027, 0x36c4f4c1,
+    0xe86d5cc2, 0x96d6422b, 0x31a675c1, 0x172e38d8, 0x58921af1, 0x257f16cf, 0x0e876505, 0x7a5488a6,
+    0xffe42168, 0x1ed796f8, 0xf122756b, 0x2f30026e, 0x03593396, 0x841e24e6, 0x8c827eb2, 0x8f4c81f2,
+    0x79db54c9, 0xf85951a3, 0x534b0020, 0x958becdb, 0x23e5d231, 0x1aa0a21c, 0xafb2c5c4, 0x905b7905,
+    0x074d3603, 0x46946841, 0x16752334, 0x2524f511, 0xe2349257, 0x1486c315, 0x1d8e480f, 0xeea64b89,
+    0x2fdd8b69, 0x816fe721, 0x8def90e3, 0x52115240, 0x03e59f27, 0x1ecf0892, 0x1ea73265, 0x8fbcf511,
+    0x417eeb89, 0xc787ece8, 0xd2ef7d24, 0x90b39b59, 0x56ad3ea8, 0x4a03374a, 0x9890613b, 0xc5a32347,
+    0x75289aa6, 0x34060702, 0x38d0a646, 0xdd72efc6, 0xf70ea222, 0x7c9333f3, 0xc01364d5, 0x684e30df,
+    0xfab14004, 0x6cb4814b, 0x1996c8ae, 0xeb7572fe, 0xc3072882, 0x92f76dca, 0xb8eeb811, 0xd1c33253,
+    0x40b23f1c, 0x7a91820c, 0xc3a5d176, 0x2fb0c5b8, 0x4e1c17ba, 0x8dcbfbc5, 0xeddaba27, 0x587f66bd,
+    0x220798b1, 0xe222d456, 0x2405d888, 0x859dade9, 0x33552a39, 0xd04601c7, 0x67866e70, 0xa692c2f2,
+    0x17e6eae4, 0x8b627cec, 0xb47553d0, 0x6fe31da7, 0x1fa6828d, 0xd01fc5be, 0x522f6202, 0x3fb5b1bc,
+    0x5bf17423, 0x5a9ad173, 0xf9668a03, 0xf169b6ef, 0x3efbd1c3, 0x564fa194, 0x1a6f20c5, 0x440e5212,
+    0x8d220143, 0xcdb01c51, 0xe2355bad, 0xc4085688, 0x13e3507d, 0x70de2614, 0x93f2f9c5, 0xdad99703,
+    0xc6c27de1, 0x2505e8c3, 0xb19b01e8, 0xf25f5097, 0x5a3ee9c5, 0xc817c7cd, 0x09177257, 0x86448198,
+    0x9390bb7d, 0xccd27601, 0x66b0fde5, 0x5e58f667, 0xb2563fa3, 0xe730bd33, 0x0ef99fe7, 0xc0ea59a4,
+    0x01078967, 0x6f449241, 0xc6ae77f9, 0x160e800b, 0xd8b1f58d, 0x8e547a04, 0xc075f6a1, 0xf7940bd2,
+    0x714f1c9e, 0x7f37534f, 0x194fe442, 0x29dd5ab5, 0xd9eba90f, 0xb2ce4fa1, 0xb72c46eb, 0x622ff9f1,
+    0x18e50448, 0xbf0772b9, 0xc441ad5d, 0xa4f0c9c0, 0x2cf126cb, 0x3627c354, 0xa564323e, 0x203ada72,
+    0x272c1a53, 0x1db5e0b3, 0x4f93ecd9, 0x4364d48c, 0xc5d6d166, 0xb447da0c, 0x7b56227d, 0x7ab723d7,
+    0xddd4e9fb, 0x5d02b75c, 0xb4bfbc49, 0x8c5c21f5, 0xdd8c5537, 0xadd9c0c6, 0x4806b2c0, 0xa806de22,
+    0xfe716578, 0xf63c6fdc, 0x1e96d1bb, 0xe56c2da0, 0x468ab921, 0x1662d4f2, 0x20963dcf, 0x3519acc8,
+    0x3707628e, 0x7f259ee1, 0x68ee0e85, 0x16a21073, 0x5583bbdc, 0xd4e93b4d, 0x9c23b183, 0xf42492ae,
+    0xb3924274, 0x2c6b6ba2, 0x3bef2b8c, 0xd2cb36cb, 0x64644fd6, 0x3b6c8a29, 0x44163491, 0x678a843a,
+    0xafcfa929, 0xb857fd92, 0x44d05ba2, 0xebc99a78, 0x961599da, 0x404b8f9a, 0x50ac35bf, 0xe7b64ca8,
+    0x81261bec, 0x14289bec, 0xf27a4ba7, 0xda748a8b, 0x4de7eed0, 0xbb2aea07, 0x80cdc2d9, 0x570c8070,
+    0x568c86ba, 0x3cfe2f29, 0xee635ecb, 0x8e431eec, 0x19ae5333, 0x2c4811fb, 0x752bd14f, 0xd29f98c5,
+    0xfe98cf6f, 0x03571368, 0x4aac7c42, 0x4a7ce8f8, 0x94f8d1f3, 0x484b919c, 0x868aad33, 0x44c4be22,
+    0x0b1cbbfb, 0x806c2efc, 0x6b7e2215, 0x6bfc3f25, 0x8313b45e, 0xa3f9028b, 0x6c7213e6, 0x813358ec,
+    0x21c3469a, 0x78a95f10, 0xeb51d780, 0x2dd8a6f3, 0xa4ce79de, 0xea0020fc, 0x79a40c95, 0x6b1794fb,
+    0xf19f971a, 0x77b3879d, 0x57b38e51, 0xb7f4e03e, 0xe564d5a4, 0x1690bb56, 0x915ef0ae, 0x3040830c,
+    0x0fc3a296, 0xcdb5b952, 0x56d52fb1, 0x58d863f0, 0xbd998ac0, 0x000a5611, 0xb3859dc1, 0xadba8104,
+    0x99e23c91, 0xd3c6b79f, 0xe2b4031d, 0x694ffa9d, 0xe09b7bf8, 0xdc91bb7b, 0x75b39062, 0x8732cae3,
+    0xb8d8b577, 0x2d0cb745, 0x3fe47ce1, 0x31951e29, 0x79813ff4, 0xd6524dad, 0x01fa90fa, 0x040522d1,
+    0xac4fe46b, 0x6649cc40, 0x96f32bf5, 0xe7004004, 0x51b13936, 0xc9d16451, 0xf8c42d80, 0x4c6af9b4,
+    0x5279ef4f, 0x41da86ab, 0x14b650d2, 0x43b7c271, 0xc048742c, 0x700058f9, 0x18b9609d, 0x8dbd1ef8,
+    0xb701802a, 0x46ef9709, 0x28ab2907, 0xde0d3afc, 0x7b31d8c0, 0xc7314780, 0x50d367ea, 0xa62abb66,
+    0x46686bb2, 0x8b5baf58, 0xeba21887, 0xcfcc11ee, 0x41f0fad0, 0xaf81f0e2, 0x2e119114, 0x0ed55f60,
+    0xd8fe237d, 0xdeb90820, 0x6a927430, 0x01c0847c, 0x11964976, 0xbf32f32e, 0xf7b823f0, 0x318f84d1,
+    0x438c0424, 0x39ffae44, 0x064a8ab4, 0xc7df1e66, 0x489d4bc2, 0x66b920a8, 0xd94d0289, 0xd91c8e90,
+    0xdaeabb46, 0x47215a69, 0x1b55bd9f, 0x8e6437dd, 0x9a856e8d, 0xaead5c9d, 0xaec74a17, 0x76c46014,
+    0x3f825eb2, 0xb9be3836, 0x0291bb32, 0x54b3f63d, 0x3c43638f, 0xda611260, 0x9d082091, 0x0a9455a9,
+    0x6f0b3acb, 0x0e2ed049, 0xe02f8b51, 0x896a3ca7, 0xfd92590c, 0x2bf22218, 0x45acc327, 0x6113f703,
+    0x4b059c3a, 0x76d5414d, 0xb42bb616, 0x5f070d16, 0x7a32fd92, 0x36c289a7, 0xaf686d2f, 0x928b5538,
+    0x00000000,
+    0x74cac27e, 0xd6acc03a, 0x46dfea68, 0xd0a7af28, 0x0552714b, 0x8317076d, 0xc08588ab, 0xe98be66b,
+    0x4dfdf461, 0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0x3ffcad96,
+    0x00000000 }, /* 10**-00002045869129935088668758243560517249470135401278776915493427057105060083622\
+                          75292159680204380770369009821930417757972504438076078534117837065833032974336 */
+  { 0x00000000,
+    0x9d6358e0, 0xed7009f3, 0xba86c637, 0x5859fdb4, 0xfd854ec9, 0x475fbbb5, 0x5881f823, 0xeb201042,
+    0xc465c4a9, 0x5938bf63, 0xc9d43558, 0xebe4605b, 0xb4b8e42c, 0x02fad89e, 0x116ae11c, 0x35773494,
+    0x026e6d62, 0x4ef6b7ae, 0x47d158b3, 0x42c2f66c, 0xa044d1f0, 0x2d7c70c6, 0xf83c2762, 0xf690758a,
+    0x233ccc60, 0x92893a5b, 0x022012e7, 0xd7518347, 0xd7558588, 0x56cd7481, 0x18db7e77, 0x35bca08a,
+    0xc336d05c, 0x85f51b70, 0x11b9d4e3, 0x2d2eb072, 0x4edd1f11, 0x7667c852, 0x418ba8de, 0xc9f05277,
+    0x4de23be4, 0xbfe909f2, 0xb18e41f3, 0x384576c2, 0x0ad33ff3, 0xdda0ee14, 0xe361bff1, 0x2eab14bf,
+    0xf4d286e3, 0x4511d78b, 0x457aae6f, 0x48baa68a, 0x2773007b, 0x9b2d163b, 0xeb91845a, 0xa42085fc,
+    0x56832a98, 0x3a599a98, 0x3147dbd4, 0xa2a57824, 0xe8d9d7c1, 0xbc374184, 0x11fb7f2a, 0xb269aef7,
+    0xd14dfb13, 0x530cd5ef, 0x3033c102, 0xf901962a, 0x41a4759f, 0x14aa756d, 0x6d7a2f63, 0x88c0308e,
+    0x54fe4517, 0xa8803b79, 0x616d8f01, 0xccf5663b, 0x7a1ef8c7, 0x8551eac4, 0xd36e416d, 0x38892a2c,
+    0x691aa878, 0x90ed6cbd, 0x911791db, 0x835c4501, 0x82b305c3, 0x992d8454, 0xe8704ac9, 0x9a893b8d,
+    0xa1cbbc73, 0xc59054d6, 0x3cdda30e, 0xf45ee84c, 0x74ac79e0, 0x6f7b9b4a, 0x3338e156, 0x41a8c86d,
+    0xd5182b2b, 0x818e5776, 0x277d10b8, 0x7823b366, 0xce8cef95, 0x62e015cc, 0x736d77c8, 0x3a58abf5,
+    0x7e0a9001, 0x14a2e6dd, 0x2361e6ed, 0x9b0fca15, 0x105dd968, 0x4fd7ff19, 0xfcd6e85e, 0x832dd9fa,
+    0x3722d073, 0xa6bc6eac, 0xf9a6f4a5, 0xaf30cc2f, 0xc624865c, 0x7683bafa, 0x43dbac0b, 0xb7a25e68,
+    0xff853856, 0xcaba992a, 0x7d283321, 0xb54ceca9, 0xb8a1d58b, 0x577e64c4, 0x8397407d, 0x708e8563,
+    0xa883e9d8, 0xee199e88, 0x3a8dba24, 0x1eac6145, 0xe4a9e1aa, 0x6aa48cec, 0xe744d35e, 0x603f2e52,
+    0xc20dafce, 0x7c6a4e6e, 0xbd928bbf, 0x99a7f802, 0x23ebc415, 0xa7a480d3, 0xa4efc728, 0x8329cf0e,
+    0x854824d0, 0x2581b6fd, 0xe1a503a4, 0xe9550657, 0xa77980ef, 0x2378422b, 0xa9476acb, 0xad184aab,
+    0xec6a2233, 0x350b1eee, 0x731ec911, 0xdb3922c9, 0x60cb1f93, 0xe3879bfb, 0xcb43362e, 0x0e9419ac,
+    0x189186fc, 0xf0e87690, 0x8ad7b81e, 0x7be65638, 0x212e918c, 0xebeaa3eb, 0xfd2e06d7, 0x6748aa34,
+    0xd992240d, 0xc2375ab0, 0x5c3652db, 0x520bcdc2, 0xa8120686, 0x785dd575, 0x1289436c, 0xeeeeebd6,
+    0x455e0315, 0xd3bdc1cc, 0x5366902f, 0xaadb068b, 0x2b82a875, 0x6585de95, 0xd2f5f0dd, 0xbe352638,
+    0xd857918c, 0xe5c0a52b, 0x39839689, 0xa3a6a00a, 0x7f510b17, 0x56db0d77, 0xfd9642e2, 0xde7fd95c,
+    0x11363056, 0x75eae011, 0x4d4de4b8, 0x0c9eff89, 0xa374ab00, 0x36a8c580, 0x4eb74b29, 0x4d375ee3,
+    0xb7cee5da, 0x7abc8ca8, 0xe6e77654, 0x1c9d5e38, 0x84f53bf8, 0x28373561, 0x340bd97f, 0xdc7f9ea6,
+    0x52d6bea7, 0x57a61aee, 0x430ec45b, 0x3c91e8fa, 0xdb74aad0, 0xd2331b47, 0x4d0ffe6f, 0x43dd7d1c,
+    0xa588a07a, 0xf52effe7, 0x90b7972a, 0x4f75dc30, 0x306ba3f7, 0xf3fd52d4, 0xdcf517fa, 0x7cb2ffe3,
+    0xcfd1360d, 0x034ec31b, 0x93238b87, 0x5b1d7741, 0x10ea0c79, 0x0313b40a, 0x9490953b, 0x64c165fa,
+    0x2d4e2748, 0x1bfb37b3, 0x9fe8a689, 0xa9617f2f, 0x6a3d75da, 0x1432b05c, 0x269ac454, 0xaa09a6fd,
+    0x0767bf30, 0x3d93b540, 0x1ca38131, 0xd2bf3035, 0xb66b252c, 0x0bba8c9b, 0x913d2338, 0x17587d32,
+    0xaafd137a, 0xa796a5f6, 0x5e4dfb2c, 0x7d56e244, 0xb4f952bd, 0xcc73ebdc, 0xd45cac0d, 0x6ee47161,
+    0xe971eee6, 0xf7d450b0, 0xbe740605, 0x88450281, 0xb7e1c3e2, 0x8f18f7b9, 0x4f2624a9, 0x56dc06e2,
+    0x79ef9e02, 0xe83c9743, 0xda0af643, 0x0a963aea, 0x58942360, 0xa3b81454, 0x27069c05, 0x649bbd29,
+    0xa7206811, 0x5b337b69, 0x71589366, 0x8c9d5284, 0x39eb7005, 0x2a35db04, 0xff7fb06c, 0xa00c61a5,
+    0x031d3b6e, 0x659aa0a3, 0xa4453b80, 0x5f0bb832, 0x160a2db2, 0x9d6535ed, 0xdee86c76, 0x62b37641,
+    0xe9eb81fc, 0x65f201e8, 0xbc1f85a0, 0xf36aafc8, 0xb18050a4, 0xb14d1024, 0x0e3e5298, 0x4c29bb16,
+    0xdbf9c6f5, 0xf6e1336c, 0x954258d2, 0x89c568d5, 0x896c7930, 0x0d2bcd10, 0x331c3590, 0x4ae1ab9e,
+    0x32edce74, 0x50764043, 0xf84caaf0, 0xd9820cc9, 0x2fc0b898, 0x4cb71340, 0x0eed075e, 0x6b944678,
+    0xa75424db, 0xf006f088, 0x88229921, 0x8d2f3ac6, 0xdaa668dd, 0x19cf1e3f, 0xac188d39, 0x20e5d03f,
+    0x445ebb5a, 0x00362ac1, 0x24143bd8, 0x25adec77, 0x5a666427, 0x252e5077, 0x85e0b4b2, 0x0c6b0c54,
+    0xff480422, 0xd44aa7c2, 0x74ec9e37, 0x77d1c499, 0x0decd915, 0x4b9ee3e9, 0xb41f3a6c, 0xf1665ff8,
+    0xa53059e3, 0x78819f8c, 0xc69faa8f, 0xde14d2d9, 0x2d1bd541, 0x0299bb85, 0x612ea359, 0x8a52fe5c,
+    0x7a7c03e8, 0x8aa9756b, 0x5c32ce7f, 0xa9c438a2, 0xe53337d1, 0x9e99b83d, 0x19825f5d, 0xcca0acc7,
+    0x069ad888, 0xbe21b0bb, 0x09e62861, 0x06655ab4, 0x90d01c13, 0x83d98d4c, 0x132a0fe4, 0x72cede4e,
+    0x66b6e08f, 0x7e38a949, 0x2da2c84f, 0x7e0b7e6e, 0x08dc1915, 0xee878e09, 0x66495f3b, 0xb090eb68,
+    0x07cc04b1, 0x10e6d0b6, 0xee6f1c56, 0x0dc6a09a, 0xdeba7137, 0x0e1c5b05, 0x4d4c49f1, 0x0ebb363c,
+    0x646fa0af, 0xac3661a3, 0x136f7951, 0xdfac057f, 0xc62355f9, 0x05910fcc, 0xebd270d1, 0x284765eb,
+    0x0720bbf3, 0xdc0967c6, 0x42fbc51a, 0x7cc515de, 0x50be3ef0, 0xf9eda0a6, 0x9bab119d, 0x32b0a8ec,
+    0xc38c1d30, 0x39d4b1d3, 0xc5795144, 0x359efb25, 0x28d4e2a1, 0x3135bfde, 0x7eb20228, 0x1dec850a,
+    0xc1018c23, 0x254b4f68, 0x7df7d2ff, 0xbd03c022, 0x8477a37d, 0x1552a3c4, 0xc91939e8, 0x5b4c429c,
+    0x0aad8112, 0xa4910573, 0x5aff1122, 0x3026ab17, 0xc0097740, 0x70bf443b, 0x3dac55e1, 0x4533585b,
+    0x0f2b27cc, 0x4dd580d6, 0xdc01dfcc, 0xdf874dec, 0xd826ad81, 0xfcf922d9, 0xe64b30c4, 0xac1b9794,
+    0xdf34bd9f, 0xb7c1fbd4, 0xcf77e2db, 0xd2189bf0, 0xa8386673, 0x8631afe7, 0x0fd585ce, 0x7b67b421,
+    0xbee59059, 0x1ad55e81, 0xaaf258f7, 0x89e39377, 0x509e476b, 0x4e3add1d, 0x9a19a0ab, 0x4ed0b84b,
+    0x826a233d, 0x8feb7a4d, 0x36ff680b, 0xbc9f1742, 0xec5c0788, 0x98e8ef86, 0x5f881531, 0xa69f4863,
+    0x6071162d, 0xe61c0470, 0x8cf8ab22, 0x14d7f0ea, 0x503353a0, 0xde9ef26c, 0xd7f23704, 0xe1c74aec,
+    0x0e25ee5f, 0x42385e46, 0xad14d096, 0xbe922606, 0x9faf111c, 0x10e3eab3, 0x09d60ead, 0x68c9eacf,
+    0xae0524c9, 0xbbfc8035, 0xdb7c60c4, 0x298b4cfd, 0xf8a91b6c, 0x853d938c, 0xdfccccd8, 0x92e06593,
+    0x7a3c0f7b, 0x580869ca, 0xa7e14559, 0x7b27f3c4, 0xe0c3a000, 0x8f462a24, 0xd2de136a, 0xb64d336e,
+    0xfab3dfe9, 0x9ebe2508, 0x728bba39, 0x850e3ebe, 0xf19329e7, 0xb29a6c66, 0xea0d3283, 0x5cabf894,
+    0x8231ef05, 0x14e064cc, 0x2048a5a5, 0xb86f61b7, 0xa29fc6f1, 0xb01871bc, 0x1accb009, 0x3b69223d,
+    0x579d1e04, 0x0df28c19, 0x12748f5d, 0x7d02d327, 0x5e53e398, 0x9d9aa03c, 0x0470da0c, 0xbcd500ca,
+    0x40813cc6, 0xa353eb3c, 0x92167937, 0x0b4ea9b9, 0x3485c41c, 0x61f8af95, 0x4760ced0, 0x6d1a8066,
+    0x399a7bd2, 0x52914651, 0x25d3c397, 0x616bd704, 0xf0114b30, 0x85955843, 0xf68cba79, 0x83f2a1a5,
+    0x4b15fa1f, 0xa2e62fad, 0xfc877f4a, 0xe29480f2, 0xab6a9d00, 0x3e4c1504, 0x280410e3, 0x5940b458,
+    0x5399791d, 0x2ec1983a, 0x05134da2, 0x03feef90, 0x07cd9c17, 0xafbe109e, 0x159b3e2a, 0xcc3a41f9,
+    0x91a45222, 0x4c9f65bf, 0x8298a1b0, 0x0c092778, 0x7ad6c66a, 0xda604143, 0xecceb3f3, 0x2eb1a2f4,
+    0xf4a7f773, 0xbb0c3260, 0x8b6805e3, 0x9b03512d, 0xa2416162, 0x30945f5a, 0xefea5fff, 0xc02bf456,
+    0x0d03be8b, 0xbce5e044, 0xb428e5f2, 0x9b751d05, 0xd7afd99c, 0xf8d5e5fd, 0x9ad19ffe, 0xce2e7d93,
+    0x9c718e90, 0xebd7d43b, 0x0cfe3a82, 0x056b2401, 0xe572c0b3, 0x613c63eb, 0xe3125952, 0x1a1b80d3,
+    0xfc88cd82, 0x8598fa5a, 0xb9abfd3a, 0x5327caf1, 0xf9836791, 0x896e6c6c, 0xb7aef3a5, 0x95ca801b,
+    0x25aac460, 0xa6eced87, 0xc626a805, 0xf093b320, 0x0b66dbe0, 0xd6d57a4a, 0xf97ed8d5, 0x0bb3911b,
+    0xc4bc6684, 0x231c6cd0, 0x9cf42c83, 0x1839991e, 0x72da823b, 0xa56c6e95, 0xebe4264e, 0x3aeae503,
+    0x9431ae14, 0xe4037b39, 0xa7e38788, 0x6b302a1b, 0xe9d6b444, 0x0feae491, 0x8ee1cec8, 0x1fba6436,
+    0xc5a701e2, 0xca8fdbaf, 0xa89596bb, 0x9c2067b8, 0x10f200cb, 0xa6bb175f, 0x3b947330, 0xf9fc0d11,
+    0xecfd3773, 0x7c3c6388, 0x33b8bfaf, 0xb282a797, 0xec0d9444, 0x8aa9952a, 0x9a1414c8, 0x4f894599,
+    0x82b7d2ee, 0xc7e6c15b, 0x3b629b65, 0x923f7db4, 0xb3bd0734, 0x1e1b671e, 0x5ece9a26, 0x9b88c673,
+    0x3e41d48e, 0x907b6dc3, 0x05c69ad2, 0x0eac713c, 0x0d418fba, 0xc1cf8a5f, 0xf15fc815, 0xef9996b2,
+    0x68559898, 0x39e46288, 0xda254403, 0xfc4eb9b5, 0xef191705, 0x98719190, 0xe9ac7bb7, 0xe98ff700,
+    0x1162e4e6, 0x0c565907, 0x31e5eb41, 0x04d5ec3e, 0x92154822, 0xaf6126c9, 0xa6df58e8, 0x1a69daaa,
+    0x9b73fa4c, 0xd0ca5ef1, 0x9aba9256, 0x0812cd1c, 0x2e0aadba, 0xaca77595, 0xce9c14cd, 0x8bc00e25,
+    0x0eb6b55e, 0x6303c277, 0x632668fb, 0x4f4d7df8, 0x47f14172, 0x6207b776, 0x1318e0e2, 0x56bf2126,
+    0xc1cdecfc, 0x07a29559, 0x4fcb732e, 0x2b295f96, 0x64045674, 0xb0934d51, 0x0ee3eacb, 0xb25d3c34,
+    0x626db0e9, 0x7cdf6a2d, 0x5e7d0a95, 0x010eec50, 0x2a169ed4, 0x72d9e6a0, 0x0203aee5, 0x92016d82,
+    0x6c94a57c, 0xe4b7a185, 0xd02d0e11, 0x10842951, 0xfcddb4c5, 0xffa46e8c, 0xfc3ee284, 0xc4adfd70,
+    0xcedd771a, 0xc492a323, 0x1be8500b, 0x02d4cf54, 0x3aa33336, 0xf9eb0aeb, 0xc8eeb0ee, 0x62a89dc2,
+    0x35575c26, 0x455e171a, 0x568cc563, 0x256ddbdf, 0x924b12ea, 0x082fbe9c, 0x471968cd, 0xc3b3149d,
+    0x598e960a, 0x75eb152e, 0x4d86cef5, 0x2b37caac, 0xd13fadaf, 0x99e3ec72, 0x2b2e0e0a, 0x4232e133,
+    0x3f64934e, 0xda4c37a4, 0x4cb71a7e, 0xd1ccde93, 0x64d5c439, 0x9174fd8d, 0xa4d1d413, 0xf37b194c,
+    0xc0bca05c, 0x964a511b, 0x4b206921, 0x072018a3, 0xdc894a74, 0x347c8250, 0x9803c0bf, 0x0150179c,
+    0xb29a0ed2, 0x1f228e3e, 0x90816f58, 0x066c5e9a, 0xd4858bb8, 0xe95897cd, 0xaee62248, 0x44e96e31,
+    0x7e07d3ba, 0x6ea8dfb0, 0x7d74a353, 0xa30cab18, 0xa723742c, 0x85799458, 0x19cffb1d, 0xeb96cdb4,
+    0xcff477fe, 0xc7fc084c, 0x297da6d7, 0x06566149, 0xe72e6648, 0x079d0162, 0xa4239ae0, 0x8d115e39,
+    0xbda6ca9d, 0x4ade27a6, 0x0c756729, 0xb7db2f6b, 0xd7c673e4, 0xaacb8706, 0xdcf85594, 0x0cc79bee,
+    0x0c663a75, 0x5163145a, 0x8eb482ef, 0xbf47efb2, 0x4af710c0, 0xa8682b31, 0x2d175fc2, 0xcd63cfc7,
+    0x9bcfcba2, 0x3bd9bbdd, 0xe6bbed40, 0xc35e9770, 0x3fe7056b, 0x8ff0401b, 0x2c171840, 0x329c0953,
+    0xbee851a4, 0x9a9aefed, 0x88fc4c21, 0xa5adf838, 0xab6d464a, 0xce67fd88, 0x1eeeb69e, 0xa4383e32,
+    0x993078dd, 0xde12e262, 0xe773cbc3, 0x57e4b118, 0xcea0b308, 0x446ee328, 0xd0e61360, 0xee5ccde6,
+    0x6e24ac18, 0x93741145, 0x0bd9c36f, 0xb9fde077, 0x2ee212ee, 0xef3eb02b, 0xa5f9d369, 0xd2760f74,
+    0x47e2cbb3, 0xfb62d27f, 0xee6e5191, 0x69688e7e, 0xb8969dd5, 0x95882ce9, 0xa778845d, 0xd58ad323,
+    0xc6cde405, 0x62554ac6, 0x7c33f4ea, 0xc406ed37, 0xfcf542b2, 0x820b6ead, 0x0bc803f8, 0x28e88cf2,
+    0x839cac5e, 0xae5975e5, 0xe0f98b31, 0x9fb6e936, 0xdbb767de, 0x4bf2d183, 0xee46a99a, 0x51b6c999,
+    0xc2a65a1c, 0xd2fc106a, 0xac9e7700, 0xa42344e3, 0x94899f89, 0x3c46f4d6, 0xd33c9861, 0x263e50e9,
+    0x46473a7b, 0x6db9e9e1, 0xf07b7237, 0x9e2226b3, 0x32659ebf, 0x49839155, 0xd6de6443, 0x2f1569f4,
+    0x55175901, 0x8b412c26, 0x14f222d9, 0x291be4ef, 0xfe5e6fd6, 0x1cceac62, 0x57ffa4b7, 0x3ba34d04,
+    0xd536c584, 0x8096315e, 0x77e87235, 0xef7bae1d, 0x137059db, 0x026bc75e, 0x06fe1321, 0xdf535d25,
+    0x7a17a7bf, 0x3daf27fc, 0xa9433362, 0x8cf81816, 0x55166553, 0x0f023b6d, 0xd995213f, 0xa99f6043,
+    0x6bb08e7f, 0x8335122b, 0x3cdc65fe, 0x344db67e, 0xafc4191d, 0x292e8509, 0x0cc3a7d3, 0x898223b4,
+    0x8ccf8e5c, 0x17576734, 0x21939942, 0x5295e16b, 0xbeede671, 0xa5b473ae, 0x2b6751c0, 0x770936ea,
+    0xa5b5607f, 0x3064fa33, 0xe80d4246, 0x2e31e77a, 0x6f20b375, 0xff13d0c8, 0xc9dad68c, 0xbaeb459f,
+    0xbe714c87, 0x3f7f8b82, 0x0dddd20f, 0x850b0fae, 0x8a7be522, 0xf4a9fdec, 0x3710c3b8, 0x306c744b,
+    0x03e7da46, 0x0144c3e7, 0x3452c095, 0xe477049f, 0x96e9bf79, 0x3c2f3a9b, 0xaac18cba, 0x1217a24a,
+    0xf912e40c, 0xd73fce72, 0x010dcc87, 0x5d75b1a8, 0xb2c3bc22, 0xf0d7e385, 0x189ada2b, 0x63acede5,
+    0x13e866fb, 0x326a34f0, 0xc458c2c1, 0xc25c02a6, 0x397819d0, 0xc24fb962, 0x94da64b3, 0x6633beef,
+    0xd9b394a2, 0x49c2096a, 0x3e3ca7e3, 0x78712ab0, 0xb5677b05, 0xdbe702a4, 0xf43ab73d, 0x510432aa,
+    0x9459ff11, 0xca4b297e, 0xf5d2917f, 0x33cae25a, 0xd8268e2d, 0x52b42189, 0x945c80df, 0xe657c4af,
+    0x5ea7e916, 0x994efa96, 0x186f2348, 0xe4ffa294, 0x5d080667, 0x13a288cf, 0xc73cab52, 0xf2a06f6e,
+    0xee62043b, 0xd3075ea2, 0x61c6a91c, 0x6bb29461, 0xf039bdb6, 0x150ffa67, 0x1a5c2a69, 0x605cf4f8,
+    0x78ad8a5a, 0x480e12db, 0xdc6f8c20, 0x0e5a52a3, 0xf531f4d8, 0x23186a36, 0xa1509a98, 0x50aaf69e,
+    0x4dce4477, 0x574dddc8, 0x9cb3ecff, 0xfbe85263, 0x522549a3, 0x0ec35723, 0xebb4aa93, 0xc5e0c24b,
+    0x6bda2e48, 0x094d0190, 0x4b0d1f7c, 0xf8a01381, 0x4aff8a9d, 0x83241842, 0x88625518, 0x2eeff367,
+    0x8c04368b, 0xf9b9ec79, 0xa82624fe, 0x85de1c77, 0x7bf85680, 0xbcdf4974, 0xc7e99a2e, 0xd07f1c6f,
+    0x1aeb5eff, 0xf9f3d92b, 0x17c1a259, 0x6fdcc202, 0x7dd0defd, 0x5d8ad089, 0x4a98e6cb, 0xbdac44da,
+    0x4bf9f5b8, 0xedb0edc2, 0xd340af10, 0x9e2be626, 0x2f6f8f50, 0xd496b6dd, 0xcd85a9a1, 0x924887a3,
+    0x677d71cd, 0xe64433b4, 0xcfa3e5d4, 0xa0dc9fe7, 0x06c3a0fc, 0x72b93c70, 0xae1bc130, 0xc1b05217,
+    0x00000000,
+    0x3a65613e, 0x6b56601d, 0x236ff534, 0xe853d794, 0x82a938a5, 0xc18b83b6, 0xe042c455, 0xf4c5f335,
+    0xa6fefa30, 0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0x3ffe56cb,
+    0x00000000 }, /* 10**-00001022934564967544334379121780258624735067700639388457746713528552530041811\
+                          37646079840102190385184504910965208878986252219038039267058918532916516487168 */
+  { 0x00000000,
+    0xade219c8, 0x55b4d3e2, 0x00830872, 0x1198ef94, 0x1a2d312e, 0xbd9dd697, 0x3fb6565c, 0xbda1f367,
+    0xd3f05b7d, 0x41bad97c, 0x675d9d92, 0x00476236, 0xd84b3ae8, 0x041bff95, 0x5c11773d, 0x50727c54,
+    0xcd4198c0, 0x5e33aab1, 0xeed4161f, 0xe82bd3a4, 0xb6ed641d, 0xdbd1f7e7, 0xfe9faede, 0x2f08e36f,
+    0x242123f4, 0x5a5d3e5c, 0xc5096497, 0x1df61c61, 0x929e3b01, 0xf67022b2, 0xd64f2afb, 0xc23dac56,
+    0xca0646c4, 0x258c2867, 0x3cf0ef71, 0xc44d2bc6, 0x41247452, 0x226e8fe1, 0xf116e232, 0x27ae197d,
+    0xcad65e35, 0xbde19c98, 0xca898563, 0xa86fc4f1, 0x40e18dab, 0x79931f24, 0x1bb3f6b9, 0x87ca9280,
+    0x176650f1, 0xe99ff56f, 0xe6cca274, 0x5200d9d2, 0x2ec929a3, 0x4ccbf400, 0xd70d7e90, 0xf69d26cb,
+    0xd71ed681, 0x6ee4d2e2, 0x7c015fa3, 0x06c59846, 0x82134b0c, 0x3c729fad, 0x9b480e40, 0x05ae4627,
+    0x47594446, 0xa8bdfd82, 0x107d736c, 0xc72834d4, 0x15b5ef17, 0xc63fa8dc, 0xfe17e5f7, 0x7d9adcb9,
+    0x32b1c59b, 0x681d4d9f, 0x6ba34c7c, 0x2940ff90, 0x7140d593, 0x918afd8b, 0xb4c8b5b4, 0x95501d7d,
+    0xe7ca7da7, 0x6a705871, 0x05468bd6, 0xfd631644, 0x3761f947, 0x52309cbc, 0x3a52e2de, 0xb24f5d75,
+    0x5a641c56, 0x66ce0a66, 0x066063d7, 0x5f67e446, 0x3cf1ac45, 0x352b78b4, 0xdf579238, 0x9d2f2eb1,
+    0x90d143b9, 0x1ace1059, 0xc92ab56f, 0xe4192efe, 0x66f8c4d7, 0x363768bf, 0x2c67a3b5, 0xbba325c5,
+    0xdb33fdde, 0x114962c1, 0x12c72951, 0x1ea9046c, 0x9a519c83, 0xf346b025, 0x2a7183e4, 0x5abb0525,
+    0x08e80b48, 0x51c5fb8f, 0x6a705377, 0x9347448e, 0x5f95dd74, 0x96ab36a4, 0x00d02742, 0x5e336676,
+    0xae0ffe9e, 0x37747699, 0xae593bc4, 0xb4d13ca7, 0x8e1e7e6d, 0x750819f5, 0xd5b7b750, 0x7515abfd,
+    0x85b4b163, 0x52a8b71b, 0x265ea421, 0x694a4d0c, 0x9fa34007, 0xe0945404, 0x4bb6c914, 0xaf756093,
+    0xac5ca85b, 0x294aea3a, 0xbaaa28f5, 0x1b7991cc, 0xbbbbd8f3, 0x09451235, 0xca494f14, 0xdc5b68b3,
+    0x7e2cf082, 0x4d76c9d4, 0x0d9be9e2, 0x8bacd9a9, 0x9f5026f5, 0xaac01e21, 0x7435cefe, 0x0c27b063,
+    0x9a9d8305, 0xd6aff3c1, 0xa1fa858f, 0x3b55dcc2, 0x0cbf7b07, 0xd78c2b00, 0x2c166ff4, 0x4f04e037,
+    0x7d6ffce6, 0x75be1c4f, 0xb9944277, 0x5bcda35b, 0x5e5c661f, 0x879a6449, 0x8b43978c, 0xb578a053,
+    0xa03bbe4e, 0x541109a5, 0xa0eeb549, 0xae5531fe, 0x4d63bbd8, 0x27731935, 0xf7c5827d, 0xd82e5229,
+    0x4988156b, 0x87c77ad9, 0x6d3ddd96, 0xfa0cb58f, 0x36830534, 0x49faa73f, 0x66f701c9, 0xb962c59d,
+    0x9bafef0e, 0x34f9e253, 0x2389b7d7, 0x67382a65, 0xc2b6c081, 0x609d32da, 0x0944f479, 0xbc51f8ac,
+    0x7955af94, 0x3ac7c852, 0x9f6f918d, 0x1e674876, 0x2a511102, 0x36bf2ca4, 0x87a2c2f5, 0x4ca3e946,
+    0xa54a696c, 0xefc33d6b, 0x1e2c7ad3, 0x31076814, 0x2f491c28, 0x0d8f9950, 0xcb4d1b1f, 0x7151ef5c,
+    0x5c9f5c5b, 0x93777a09, 0xd310fc1e, 0xeeddad4f, 0x45911610, 0xc5313e41, 0x9f5d5196, 0x78ae907f,
+    0x19d477a6, 0xf584f75b, 0x8459031f, 0x59f2b6c2, 0xbb35f598, 0x359ed3e4, 0xb9d8643e, 0xde4d9e46,
+    0x43c83911, 0xbca54dbe, 0x8915e216, 0xc6a0cef7, 0x24516411, 0xf8ef4618, 0x025e182e, 0x9bf97809,
+    0xded385d7, 0xd0c2cbbe, 0x06f7cd06, 0x93c41242, 0xd0dd8f1a, 0x32258db2, 0x138022a4, 0xdf465340,
+    0xab7e6b60, 0x68f9c1cb, 0xb85e76fa, 0x66ac5dfc, 0x6984b721, 0x8aaa5cc2, 0xb463d161, 0xb31e49a6,
+    0x7a466e46, 0xefa06e43, 0x1b1b8f3b, 0x830d4e6e, 0x5f0be534, 0xffd95a00, 0x7fefa4cd, 0xc0b40b76,
+    0xf29d8b93, 0xab01c382, 0x676b7285, 0xbb126b15, 0xc5d432f7, 0x71432020, 0x27e03ed4, 0x7cf5c093,
+    0x37010a3b, 0xbe9b60ed, 0xe6cf4b98, 0x895613d7, 0xd31a3f17, 0xae7dd395, 0x80793540, 0xe610e413,
+    0xe84ee3b1, 0xa64da23b, 0x91d1e096, 0xc813c0bf, 0x87963b6b, 0x4c3e9da4, 0xe21969a5, 0x3c652975,
+    0x2c07ddee, 0xa79f2dbd, 0x2f14f7a0, 0x614d380e, 0x626a27eb, 0xca220023, 0x39d855cc, 0x4774849a,
+    0xfccefccf, 0x965d63ca, 0x44994e76, 0x9b1109a9, 0x378ca079, 0xb7d1f430, 0x7599437b, 0x6cb1f2bf,
+    0x3f731d1d, 0x321ed1c0, 0xda8ddf66, 0xc9d39cda, 0x10467e57, 0xc5b79265, 0xe7ae50cc, 0x09ad806e,
+    0x78bd9d8e, 0xcdbe8406, 0x800b4844, 0x781b70a5, 0x7f8ef1be, 0x4fddd59c, 0x341479b4, 0x0e73c6e0,
+    0xb3d0fbf8, 0xc0bd4346, 0x5ec81119, 0xbafc6c74, 0x2bacb54d, 0x451f1465, 0x2aefd40b, 0xec625003,
+    0x54a73dd2, 0xd75d9dee, 0x9c373865, 0x8f5beb3b, 0xfce4c3ee, 0xc2434320, 0xf72560b3, 0xdee93375,
+    0x9d54d493, 0xb5e195ee, 0x4d432aab, 0xa65566a6, 0xdbbeb3b3, 0x88280d6d, 0xa4d35fc5, 0xb0e8b4c1,
+    0x45202d97, 0xae37843c, 0xd41bce36, 0x4dfd4ffa, 0x36fb9b76, 0xf4bad1a6, 0x4bdea354, 0x640cdf06,
+    0x5f151f8b, 0x80af572d, 0x85e68d31, 0xddb604f1, 0x45b04075, 0x97d37b93, 0xc3ad2eed, 0x3ee54bdc,
+    0x994186c0, 0x28c4b418, 0x1a01f43a, 0x338b32b6, 0x26ece679, 0x44efeb4e, 0xf5af532f, 0x24f40671,
+    0xbb997c83, 0xd1381b36, 0xf41c7a03, 0xee3c4c10, 0x0878b13f, 0x66bf96e7, 0x0d92940c, 0x575cc6e5,
+    0xae76ecc8, 0x879f2da3, 0xeafc99a5, 0x69ced924, 0x8b61d6a0, 0xa4093288, 0xda82ce2b, 0x6377c891,
+    0xb506fcce, 0x8ff44ac8, 0x42358b55, 0x988ced6c, 0x6981fcba, 0xecf9725c, 0x2d671dcd, 0xe0b8d70e,
+    0x84d84155, 0xe4b12103, 0x9621ffad, 0xb01cf9cd, 0x3f6e7c13, 0x98c9b010, 0xb20a452b, 0x77bd89d5,
+    0xd3379022, 0x73ead1fa, 0xd460a229, 0x90356d3e, 0x3e6ce835, 0xb0ccc8d0, 0xa5430519, 0x1b0bc44c,
+    0xa59c72a2, 0xed86a912, 0x9d34262c, 0x0629ee39, 0xbaf005ba, 0xa923618f, 0x8826f99d, 0x01d43eaa,
+    0xc9e0ac0e, 0xaaaeb3ab, 0x6aa2b0da, 0xa491b89b, 0x5a8efd6a, 0xd97122b5, 0xe005c729, 0xecf5ac53,
+    0xe50651fe, 0xb0f4dc33, 0x5812bda6, 0xe5639164, 0xf5e78a6c, 0xd69ec78d, 0xa4602353, 0xbf448dd4,
+    0xf765629a, 0xa2bb5bd7, 0x43021363, 0x37a26546, 0x9221a4ef, 0x3a517027, 0x0a7743e6, 0x0d3f8702,
+    0x8a4e9352, 0xa34d0c01, 0xb6115ee8, 0x188488ba, 0x233711c4, 0xa06d0647, 0x462a32c5, 0x430dbd1b,
+    0x67d70f7e, 0xb3ced8d6, 0x6061dfba, 0xd67d20f4, 0xa11362d8, 0x7fe456b6, 0x3f253da4, 0xf8739dec,
+    0xd575f424, 0xaa53cd54, 0x9b706972, 0x1310aa21, 0x541b5cab, 0x099254fe, 0xd04264b8, 0x6a42110f,
+    0x6976ddc1, 0xf4426c5a, 0xe3d097da, 0x5a193cc2, 0x9f19444b, 0x80f7f8de, 0x52331bd1, 0x85b1e7e7,
+    0x9d81adf5, 0xc4986f78, 0xf674f06f, 0x6192582d, 0x914b152e, 0x41c92aaf, 0x6e958b86, 0x542d0766,
+    0x4c7b8f97, 0xa0175428, 0x98eb722c, 0xb6fd6a7e, 0x299b84fe, 0x12721f5b, 0x4f45b944, 0xff32d005,
+    0xff374e77, 0x36b318bf, 0x3a7bcdd6, 0xb8775141, 0x3a6544ab, 0xe7f01cbd, 0x80d0a132, 0x76f0f72a,
+    0xe882215d, 0x2add5dcb, 0xdcc1a08a, 0x715f45bf, 0x1d9efbcc, 0xcff71079, 0x5934d3bf, 0x116787fb,
+    0xf758e791, 0xee5d6f49, 0x7f619bb8, 0x24c90d53, 0x51a81e94, 0x4cde6b35, 0x7af6efcf, 0x285f877d,
+    0x57287384, 0x99ff57f8, 0xe8a1f029, 0xaac707e6, 0x458e2380, 0x8fb1fdc4, 0xdc843e0a, 0x559d63ec,
+    0xb97b6a35, 0xaddd575f, 0x69426c90, 0x5b847d6d, 0x401f664d, 0x07627ffb, 0xa3a1b668, 0xc67deb58,
+    0xf57c1286, 0x452ea2f0, 0x29297102, 0x43cfb7fb, 0x8d04a7af, 0x33234aa7, 0xa6941ca3, 0x8aa7ced4,
+    0x685ba492, 0x0fbb7080, 0xf5eda62f, 0x54f0e4b1, 0xf8929606, 0x321adcb1, 0x5fe6bd76, 0x335f6aa3,
+    0xf72ba0a4, 0xfeed57e4, 0xb6feb854, 0xf60c094b, 0xad93a52c, 0xf69efa5c, 0xda6eb60c, 0x222e4389,
+    0x63c6d623, 0xc12aa5ec, 0xef4630c5, 0xd6dae666, 0x208f50ff, 0x72ae433e, 0xa2284832, 0x4f1b8afe,
+    0x651af12e, 0x121d807c, 0xf5a1195c, 0x95cf785d, 0x3684a550, 0xd0eb3681, 0x896d6741, 0x64114d7d,
+    0xb950dc57, 0xe2c2ae29, 0x33a3f57d, 0x01279f07, 0x7fb4db31, 0xb3176b5f, 0x5e3d956f, 0x8c316ac9,
+    0xc2d0bd57, 0xc8d7eabd, 0x32c4c718, 0x7b3ebcbd, 0x38bf9fe9, 0x1e224a64, 0xc3e3c10a, 0x44cd6704,
+    0xe43e087f, 0xbea8fe10, 0xc8a995ed, 0x0977522c, 0x54af8b83, 0x842d14bd, 0xedde82d0, 0x046b398d,
+    0x935590c4, 0x34713ab8, 0x564435b5, 0xa8d38b70, 0xa50e1ab5, 0x32b5d77e, 0x3bcac0df, 0x42cd6a3d,
+    0xa94d257d, 0xdf8f7b5f, 0xf7020d1a, 0x032f1fdd, 0x750ae100, 0x3a6ac2dd, 0x84304395, 0x5e4c9aa5,
+    0x913bb8ec, 0x4cb230fc, 0xa0a63d45, 0x287f87d1, 0xb2545fc4, 0xa5f0be13, 0xc45c2201, 0x5ff0cf00,
+    0xb8b438a0, 0x91984f15, 0x1e3a47b3, 0xad897afc, 0xbfbe90e5, 0x90ac7d89, 0xd2f3d1a8, 0xa9aba7b7,
+    0xc0980540, 0xf45289f3, 0xc2bf93eb, 0xa173d3ba, 0x6e626932, 0x42b370bd, 0x35f67feb, 0x50041782,
+    0xd2731a31, 0xe0871b80, 0x159cbd38, 0x2b98fccd, 0xb06c7d3a, 0xdba4e3e3, 0xddb2fae5, 0xeed4f5cd,
+    0x4ee14006, 0xb46922b8, 0x07ee8925, 0x774e9d36, 0x6b95de0c, 0xd8da95ef, 0x14720080, 0x43cbb0ea,
+    0x1b1ef664, 0x0844a757, 0x5f26ee30, 0x2e50f671, 0x682614ed, 0xc36c806b, 0x9c4117f4, 0x6d892186,
+    0xd4e5d56f, 0x4a08fbf4, 0x79ba8608, 0x42c0b548, 0xbc81b23b, 0x904712a3, 0xd28e54f4, 0x93e7495e,
+    0x1dab62cc, 0xb003072d, 0x82e06899, 0xfbae1467, 0x20062f4b, 0x312a21b5, 0xa6c85de4, 0xe84487fc,
+    0xae5b4417, 0x80abb7e3, 0x9aa78e1f, 0xd52984aa, 0xd504c47b, 0x5b629b28, 0x1518380b, 0x7ab67fbd,
+    0x729e537b, 0x7c5c5240, 0xbc7f33c5, 0x96e81461, 0x6ef8b360, 0x55021128, 0xd726d528, 0x5ded2b68,
+    0xb47c9e1d, 0xc6491173, 0xfd4c7ac2, 0x7b5f8914, 0x1f9a3a41, 0xef14bc80, 0x9834af20, 0x64477832,
+    0x2d7657f3, 0xcdd867f4, 0x05da7706, 0x0d4fb5dd, 0x4d45a8e8, 0xb65ed804, 0xa8a123ec, 0xea2cbd98,
+    0xe5e7f539, 0xa476313a, 0x35a0446c, 0x6a19e6f8, 0x1e6598fa, 0xa7b98563, 0x80a5ceef, 0x7a1faa3e,
+    0x80f0f2e9, 0x4fefe8e2, 0x49e70240, 0xa987e0bf, 0x08ff8109, 0xaabfcef9, 0x1d592daf, 0xfe104e76,
+    0x0ee08051, 0x0b9e64ad, 0x23394eef, 0x380da1b3, 0x8916c919, 0x7afc6b14, 0xb9a30d56, 0x4227c729,
+    0xbb054075, 0xc0427e96, 0x2227c2bc, 0x3b63fb91, 0x8c608f4e, 0xf5a6db7f, 0xe8809a69, 0xd3c61d91,
+    0x48e4a80d, 0x0c1dcf45, 0xf17ac452, 0x2e532661, 0x78bc9fb4, 0xc3e99e9a, 0xb673c65e, 0x775168cf,
+    0xd3b6efb2, 0x40056380, 0x966c7a35, 0x59f3aedc, 0x3c893cfa, 0x00a43506, 0x6d86c741, 0x13af8327,
+    0xd72ac5e6, 0xc931f517, 0x34fb4f47, 0x5abdf617, 0x2baa1585, 0x6d61607c, 0xf01cc057, 0x6a670433,
+    0x075f82b5, 0x0f9ab27c, 0x9c445908, 0x6de3699a, 0xc7ef00a9, 0x5a2a0c50, 0x154e4324, 0xbb4bef2a,
+    0x21a9e7dd, 0x28227598, 0xbbe3d873, 0x695249a3, 0x449c7fe1, 0xb8b82bc8, 0xd392677a, 0x7ed5438a,
+    0x23ad5c82, 0x783246ed, 0x79b43d1f, 0x98732e07, 0x8f90af65, 0x49046b9f, 0xb21bd69f, 0x395e74b2,
+    0x37871937, 0x0ae37e12, 0x54eb6743, 0x2e8616b0, 0xe443acae, 0xf0159934, 0xf94cae9b, 0xc5b4daf7,
+    0x70b22cb9, 0x57c72098, 0xf2861643, 0x7ef99319, 0xbfbed814, 0x552e78a0, 0xe5913ab6, 0xcb90b497,
+    0x26678283, 0x95ba1d4c, 0x60d9728b, 0x7750de3e, 0x4372a26d, 0x04f52d20, 0x17cb718e, 0xe3abf2d6,
+    0x3fe5ac3d, 0xea5c24cf, 0xc37646c2, 0xd8947102, 0x86cd7b13, 0xd334c266, 0xe2989799, 0x997c2b07,
+    0xd15a7545, 0xc9c5361c, 0x97f74a23, 0x57472075, 0x5c72262d, 0x7fd33f79, 0x3038f5a2, 0x73695bff,
+    0x0d54baff, 0x5d56bed2, 0x5e7aab6f, 0x67a4cba9, 0x4cb88056, 0xc78581b5, 0x5352da4e, 0x2f671dc5,
+    0xa351e7c6, 0xd039bd80, 0x2a57c9d2, 0x9430a8ac, 0x18cc0d83, 0x05f85a61, 0xc6044e75, 0xb3d807ca,
+    0x5004e512, 0x7811f345, 0x837535e1, 0x892cf63a, 0x9e2bdac0, 0xd78e9d22, 0xd4449f1a, 0xe51c52cc,
+    0xdbc1351d, 0x532df4f6, 0xeb257fd8, 0x3ca7e14d, 0x90ff5acc, 0x4d61f8d2, 0x99c75258, 0x95ec0c6a,
+    0x8e272112, 0x098dead6, 0x4b4ae972, 0x67bce02f, 0x4cfda5f7, 0x870f9b8d, 0x5d672e28, 0xe02ce14e,
+    0x8a360943, 0x6f9d72ee, 0xfecedcfe, 0x987cd4d9, 0xf395fb4d, 0x2b0f9542, 0xb67ea498, 0x0985c1e5,
+    0x61203242, 0x14c8aa4f, 0x72e0a61d, 0x008d48cc, 0xa0aeb8b0, 0xa13210ef, 0x2e25a1ea, 0x90fc3f6d,
+    0xeea731e3, 0xab290777, 0xbc441eb8, 0xc32b706e, 0xb21a09c1, 0x6ad9b296, 0x67618805, 0xd4397955,
+    0xe9c8b96a, 0xa561c545, 0xeb33749d, 0xf1f9f7a3, 0x9bce04c8, 0x1b95286b, 0x182c7636, 0x9dd928aa,
+    0x74a5c6bd, 0x6f553630, 0xc2be2c57, 0xc6fce8b1, 0x82a32ed4, 0x76e871f9, 0x4f310cf3, 0x2dc59d1e,
+    0x2cf21ab5, 0xad529918, 0x4dc8e400, 0xbf98da24, 0x00630c36, 0x047b08ee, 0xe07f2ef2, 0x3272787d,
+    0x4537d0b9, 0x0fdb4f84, 0xb32499e7, 0x244ef665, 0xfd44b2bd, 0x365a5b0a, 0x20758cda, 0xae511941,
+    0x8f69ec76, 0x34b3eab8, 0x1bbe3225, 0xdb1304af, 0xde816fd6, 0x763b9db3, 0x593577bc, 0x4fe9bbf3,
+    0x4b63549c, 0x159fb356, 0x3aa518c5, 0xcf0a858b, 0x75ceef31, 0x6a88b61b, 0x544fb3e2, 0x977e33b5,
+    0x7ac4bc5c, 0x37c31fe2, 0x6db49b57, 0x553e3a01, 0x2eaa84b8, 0xbaeb70af, 0x7a28b8bb, 0x38a6548a,
+    0xc9eeb471, 0x3174f22e, 0x8bb9f1a6, 0x3f591b6c, 0xc92347df, 0x941449e7, 0xe02f4f0c, 0x858d3b4f,
+    0xda039277, 0xf876ba04, 0x789ea5ae, 0xffb46192, 0x46c05452, 0x0a29d15b, 0x5cfd4ab5, 0x58b46f25,
+    0x3b703578, 0x4b00d3fc, 0x70bf103d, 0x6cca23d9, 0x48302222, 0x08f5acd6, 0xef1948bc, 0xcf0843b9,
+    0xb34c0bab, 0x1d275edb, 0x45fc441c, 0x4612a295, 0x7881ab6f, 0x513ecf34, 0xc1e98684, 0x764af95c,
+    0xb36a2ce2, 0x7732d51b, 0xc42ab094, 0xb6c9ae99, 0x06663d0e, 0xed5566fa, 0xb853558a, 0x765dbf34,
+    0x4f867cc0, 0x91a7d81c, 0x60cdd329, 0xb78f25c9, 0x3e1d4c4d, 0x1198484e, 0x96b7579b, 0x490d6477,
+    0x4f2343d4, 0x9cc27fd6, 0xca67c1a5, 0x9baf2843, 0x87ad66f3, 0x5b4f7650, 0x2298a543, 0x381687f7,
+    0x04895063, 0x9e7882ef, 0xd60d0e61, 0x20220194, 0x89db8029, 0x84106273, 0x22233f0f, 0x98e060c2,
+    0xaab7eb9c, 0x87550a88, 0xc10174af, 0xae634ae5, 0xfbe140c9, 0xf068f5d8, 0x82cc84d4, 0xdeace516,
+    0x00000000,
+    0x9d32b09e, 0x35ab300e, 0x11b7fa9a, 0xf429ebca, 0x41549c52, 0xe0c5c1db, 0xf021622a, 0x7a62f99a,
+    0x537f7d18, 0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0x3fff2b65,
+    0x00000000 }, /* 10**-00000511467282483772167189560890129312367533850319694228873356764276265020905\
+                          68823039920051095192592252455482604439493126109519019633529459266458258243584 */
+  { 0x00000000,
+    0x93f89aba, 0x220a255e, 0x7eabb453, 0x5488c589, 0x1c42a883, 0x18617b58, 0x89b99fa6, 0x82ffa50a,
+    0x09618ff9, 0xcf40d7ad, 0x52431833, 0x5a307767, 0x373d785e, 0x88283e78, 0x15eca9a0, 0x15971e12,
+    0x41f764f2, 0x6d3b933b, 0x40f0247c, 0x4e828ad8, 0x3f0e7bce, 0xf0e00249, 0xdead3489, 0x38d18b31,
+    0x7da72732, 0xe7324776, 0x35737870, 0x2d9babf8, 0xc9429968, 0x06e6ce50, 0xb508d916, 0x1d2d4cbe,
+    0x840d5490, 0xb2671076, 0x92f98f93, 0x35e94cfb, 0x27bdad18, 0xf458cbea, 0x2d09b611, 0xf66cae08,
+    0xe285f81f, 0x54ec8635, 0xdbf2a5fe, 0x65f58c33, 0xca3cae37, 0xd356381c, 0xeffca42c, 0xe0d5ac32,
+    0x8e05d83f, 0x889c5062, 0xb4bcf530, 0x64add407, 0xa8b3a53e, 0x5a63c5e0, 0x04b91a61, 0xf6b0682a,
+    0xddf845bc, 0xc043ecb5, 0x2700e3e4, 0x88ca9532, 0xbb20f079, 0xe1193c7a, 0xe8498f1d, 0xd6207749,
+    0xd439ae4e, 0x862e07f0, 0xcf4daefb, 0x1fe6079c, 0x1bc48fcb, 0x3e7179e3, 0x9dd49e9b, 0xdcd253ac,
+    0x6e71880b, 0x0cbe2a03, 0x4ded9e29, 0xcece1790, 0x113b4353, 0xd5458739, 0xa8868c66, 0xc94c08e9,
+    0xc6099d61, 0x1e988d20, 0x1b09310c, 0xc256888a, 0x49dd0e17, 0xc341f2db, 0xaf251d32, 0x407ad787,
+    0xbdf3cf4d, 0x93cafe96, 0x130b355b, 0x59e5d05e, 0xe93352f6, 0x49060061, 0x34c91897, 0x66c6caa9,
+    0x0e21cd30, 0x7bc36f3c, 0xab93e1e7, 0x25f15532, 0x65be5843, 0xc7fd3660, 0x4dd65442, 0xc2809012,
+    0x3931944f, 0x35108ec8, 0x90c5c522, 0xdb58b22d, 0xdfc93237, 0xa31bf570, 0x28fa3dfd, 0x8be19364,
+    0x8af69589, 0xaafa5ba0, 0x8b95d41b, 0x4a254a1f, 0xd0810c30, 0x45bae7b1, 0x2e8d7b82, 0xf4242dce,
+    0xb940a9c2, 0x3866c978, 0x94f798ae, 0xd71ee0b4, 0x3b7640a0, 0xdba8053f, 0xf7a0148f, 0x223ed67f,
+    0xc4c943ad, 0x69b6aeed, 0x680bdeea, 0xf7f0193e, 0x6714a086, 0xca59e6ab, 0x1b0f33ba, 0x8ed62c7f,
+    0x0476ed22, 0x54c5ee41, 0x06ca32eb, 0xe87dc764, 0x5a92e9e4, 0x1020bbf5, 0xa6ad44a1, 0xec7f744a,
+    0x9e5cec1d, 0x3b5ffd9d, 0xc3ef931b, 0x23b2b25d, 0x666ce211, 0xdccc3e21, 0xd1e0004a, 0xec731b77,
+    0x0dfd80c0, 0x1f2e0591, 0xb4e69711, 0xfe0f8ae3, 0xa0e74065, 0x7885c45e, 0xbc5e6557, 0x49d675b9,
+    0xfb4ba570, 0xedcfbe9f, 0xc684581b, 0x4efd88c7, 0x30f156ee, 0xa5267254, 0xe38a18fb, 0x59eed4f4,
+    0x8ff7cbd5, 0xf388f315, 0xee033d28, 0xb8e4890a, 0xe2828a2a, 0x07c35336, 0x3ac681d9, 0x19180c99,
+    0x3490d921, 0x83d1213d, 0xbf34a72f, 0x84f21036, 0xef1d17b1, 0x84cfc3e8, 0x7e1801f2, 0x071474b1,
+    0xf05272dc, 0xd7781d38, 0xe9285c56, 0xf3635e97, 0xf9a8a8f7, 0xecfd6db7, 0x91a83f52, 0x3c798a7a,
+    0xd614c203, 0xae795b74, 0x5b9e9ee5, 0xf4e4428c, 0xdca862d6, 0x5d26d117, 0x3f5f46ea, 0x914da992,
+    0xdcf21da9, 0x51a6b80c, 0x3fcac179, 0xed3f39fd, 0x2a2bee18, 0x7a601f04, 0x047c5e77, 0x266f514b,
+    0x08b84996, 0xe3c01c97, 0xd2c4cd11, 0x103dc17c, 0xed533040, 0x3a6e1ccb, 0xa71b25bb, 0xa34a68bd,
+    0xb9c778c8, 0x0db67c97, 0x8fa92838, 0xef6ca0a2, 0x6d56e04b, 0x758051cb, 0xb659e01d, 0xb5574cfc,
+    0xd3cc343f, 0xa4af2497, 0xde03b81f, 0x0d82d4a3, 0xd7148ee5, 0x64a37d36, 0xa8a8b90d, 0x94c229f8,
+    0x5512621c, 0x897b4585, 0xa64aaa02, 0x033ae9d6, 0xc3b6eb2a, 0x1ac83b23, 0x0c720ec7, 0x76a412e1,
+    0xd57209a7, 0xfabe1f48, 0xe0d8c8d8, 0x339898cf, 0xfd73dd63, 0x883fc673, 0xd3a458df, 0x5c842716,
+    0x04c36545, 0x81f93058, 0x42b98079, 0x3c2392b8, 0x1bedc44a, 0x76365bda, 0x12c03867, 0xced1ced1,
+    0x46bd7b19, 0xf6e4816f, 0x42914e34, 0xae29db0b, 0x901be18b, 0x3ccc29d3, 0xf510a594, 0x12826fea,
+    0x367bf767, 0x25619a88, 0x923b9742, 0x8d70fcae, 0xeba90568, 0x35f9a892, 0x6e9f1388, 0x2ee6ed3c,
+    0x0d8b34b9, 0x5c63d5fd, 0x9acbbb44, 0x0bcdc957, 0xe82e39a6, 0xcfda15cc, 0x6337a0fa, 0xf357a22d,
+    0xd03e42c8, 0x55d8f598, 0xc25ef21c, 0x6c9d0052, 0xcf8f9ba6, 0xc045c1eb, 0xbb3185a9, 0x13112926,
+    0xf87e93e8, 0x6ce73dca, 0xebc06dd1, 0x03d7b91b, 0xc14128cc, 0x9b58cc3f, 0x5d74434f, 0x8430f715,
+    0xd7e6669a, 0xa54aea23, 0xccacc0a7, 0xfbeb6c03, 0x81a09213, 0x2080b638, 0xdd3211d1, 0x19d274ae,
+    0x9d2899c4, 0x1c379872, 0x0afdbd34, 0xeb24a124, 0xcf7a4d2b, 0x6636f220, 0xb603b82e, 0x489f8c3d,
+    0x65f93bbc, 0xcd7e4b38, 0x22cb3c37, 0xcd6dde7b, 0x4f39f4ab, 0x886402cb, 0xe6429f8d, 0xe81b2ac6,
+    0xe068d3f0, 0xff4d85b8, 0x6799e59b, 0xe1cd9fa0, 0x102f74a8, 0x3471d688, 0x47a6b6c7, 0xa6984796,
+    0x368d8bfe, 0x73f95525, 0x02dd4c58, 0x733e9dd3, 0x08c1f793, 0x78ced793, 0xdd63a37d, 0xf2026c0c,
+    0x419282b9, 0xbaa5050e, 0x81e4c8f1, 0xafae23eb, 0x2c1d8c4d, 0xad15903f, 0x52805154, 0xe9bc90d6,
+    0xb6acd76a, 0x3d4a2351, 0xbfda3680, 0x22966269, 0x4c3ab9c2, 0xfcfe35e9, 0x2f27b5e4, 0x9e884a22,
+    0x15cc310f, 0x2c234c58, 0x5760d502, 0x2cbf76c1, 0xbc99c030, 0xead135ba, 0x167709f0, 0xdb908788,
+    0x8d9b4d0a, 0x210b9939, 0x1cda77c4, 0x82e715cf, 0x2726a94a, 0x253f6829, 0xad6d24bd, 0xe47ee14e,
+    0xa6c0c521, 0xef6e36af, 0x1509da3c, 0x183630e0, 0x771818b7, 0x2ee667f7, 0xc213d8d4, 0x88d575b3,
+    0x2e3a0873, 0x2e9af8eb, 0x27eef37f, 0xac22d740, 0xb4ca52d7, 0x75e96dc9, 0xfe642889, 0x4d712122,
+    0x192b1ccf, 0xae61b0e9, 0xaf57079a, 0x05526cec, 0x3c5f4b2e, 0x5c6418db, 0xbe188bf5, 0xea390d05,
+    0xff0877b1, 0x6476cb83, 0xa3258d48, 0xe4b9f0e5, 0x8b4f54c8, 0x2dc2bfd5, 0x09def136, 0x77198b8e,
+    0x9ea3a8e6, 0x55a74f1f, 0xfde6713f, 0xc3a07581, 0x1b5ec56e, 0x21fd2de5, 0x749dec43, 0xed57b66a,
+    0xc9487d2f, 0xaf63505e, 0xd23638fd, 0xc5682c48, 0x8c2429f6, 0x33967837, 0xa15549cb, 0x63135973,
+    0xc6582812, 0x16448bc2, 0x3511c0af, 0x3ea36e53, 0x2d3f5fc3, 0xbba391b8, 0x8447ac73, 0x8c407551,
+    0xead16eca, 0xc9ded19f, 0xea66e945, 0xb6a53ed1, 0x290b1fe9, 0x6c118a89, 0xb3fd1d66, 0x829218d3,
+    0xbc21cfc1, 0xac01be8e, 0x7450c5e4, 0x66149af3, 0xb9833cd9, 0xec633d58, 0xb3e0abdc, 0x2067c099,
+    0x1b42a788, 0x3143ba5d, 0xa1eda668, 0x94305308, 0xb1ad02d2, 0xc0931b6b, 0x72fd72be, 0xbc30c2a0,
+    0xf904a243, 0xdcf2b5ac, 0x74920339, 0x76e28091, 0xa42d43f9, 0xe6331175, 0xafaf8a1f, 0xfd11f60b,
+    0x8c1bece7, 0xb4afbc22, 0xb9e81d8d, 0xd462f81c, 0x5652d2c5, 0x26e81c39, 0xed8d8f12, 0xf27e6103,
+    0xb15f1c26, 0x11b6919c, 0x28e29e46, 0xa73f8cc6, 0x350b3861, 0xdf747105, 0x6c001ea7, 0x59789e8a,
+    0x9daf4fd6, 0x29bccc38, 0x29839c1d, 0x7a2a4a65, 0xa7224b72, 0xc0b1dac0, 0xc504ce5f, 0xbadd3ac0,
+    0xdb96f1be, 0x51efd6d0, 0x4e65952d, 0x1f296d82, 0x36112b4a, 0xc4be4c9b, 0x4e45e5ae, 0xce7203fc,
+    0xd61c626b, 0x1fb60666, 0xee4ef6df, 0xba190c94, 0xacc67de5, 0x74ff421c, 0xd2e60f69, 0x33664978,
+    0x65375d58, 0xb111e9a2, 0x7d4255e3, 0x53019348, 0x921e9902, 0xcf33b4de, 0x10af7354, 0x19675bdc,
+    0xd3f71eb9, 0x29366be6, 0xacec9576, 0x4ff9ac9c, 0xf7dcfb17, 0xd827f7cb, 0x2f6e038d, 0x38761412,
+    0x4ad66cc7, 0x3226f60a, 0x3494a4e2, 0x9bc819f9, 0x9293e5e8, 0x19c6a5a4, 0xee1795be, 0x07c1782a,
+    0x3b89a740, 0x8fea9229, 0xa31ee3a1, 0xd5a315b6, 0x7f36aa39, 0xa90685de, 0x60325803, 0xef33e54d,
+    0x3f820562, 0xf50e986b, 0x3356e2fc, 0x323f705f, 0x1ac8aa5c, 0xb0b36f6b, 0xfd83ac02, 0xf0af8a79,
+    0x32eafe1f, 0xa82eb9c2, 0x8630d4fc, 0xc24d9a7b, 0x82ff1bd0, 0x0170fd7e, 0x6b0ddc45, 0xeac5d7cd,
+    0x6046bcf7, 0x9e678c22, 0x1408fbe8, 0xed1c5ccc, 0x3cd2b607, 0xd7d48ef9, 0xb8c7d5ba, 0xd583f63c,
+    0x3532f04b, 0x4a18e28d, 0x4a30b5ec, 0x67e219f7, 0xe3be7f60, 0x3b9dfcbb, 0x06ef3410, 0xffccd485,
+    0xbe12c001, 0x1b94601c, 0x20ff66a8, 0xe57fe879, 0x72a9806f, 0x1256b13f, 0x43d1f74d, 0xcf48d3aa,
+    0xf6452431, 0x328a76e9, 0x3860d961, 0xc2680399, 0xd5436908, 0xbd49ff95, 0xaa23ebca, 0xfa070016,
+    0xb73005ae, 0x4d2514e1, 0x17d9f166, 0xf5d80ab3, 0x71f79211, 0x160e98c3, 0x6aec2bf3, 0xa7773511,
+    0x7e009b0b, 0xa2acc375, 0xcf003adf, 0xf23d94fd, 0x6ff2aaa7, 0xb42e5e7e, 0x18551476, 0x6bdf5b75,
+    0x528dfc79, 0xcc14bb01, 0xafa45b09, 0xa87947b9, 0x2128ed4c, 0x02229ec9, 0x677b0bcd, 0x33685ace,
+    0x6564c73b, 0x23983911, 0x91b82ac8, 0xd8f5a041, 0x8041fc6d, 0xb41ee80c, 0xfe530cd3, 0x0e2a1304,
+    0x6b12e742, 0x33edbaa3, 0x3f0eead2, 0x6ec43a65, 0xff7d96a7, 0x4d4a1af1, 0x7c3c1d93, 0xd7d55182,
+    0x0a4f176a, 0xbc0a4462, 0x625c5baf, 0x30f65cb2, 0xf6abe5f0, 0x01d118b1, 0xd9c9c382, 0xdc579124,
+    0x357f338e, 0xd1045b3d, 0x9c56dac2, 0x0704f2a4, 0xebd3d7ec, 0x67762041, 0xe8fb912c, 0x8bfba861,
+    0xa76f322c, 0x0f0aaf85, 0x4693dc3c, 0xacf1eba0, 0x1d807d9b, 0xc3cb9b9c, 0xf13a4fac, 0xa20066a7,
+    0x0b689b72, 0xdf2aae00, 0x59f77da3, 0x455ce980, 0x1b1d3685, 0x8b4e92f9, 0xf698c535, 0xa36e9a0f,
+    0x19f51dc6, 0x91484229, 0xdf134b0e, 0xf50fea51, 0x1d098fe7, 0x766a82a1, 0x7debc7e6, 0x9d56dc88,
+    0x79b565bb, 0x61554f74, 0x0f804a84, 0x2b23282e, 0x7c6d36aa, 0x61ed70f0, 0xc6021131, 0x0f49fe4b,
+    0x9b062ae4, 0xf5ae17c2, 0x91d66cc6, 0x810bf361, 0x45d2d36c, 0x7d3d9737, 0x5bae2b2e, 0x3a241410,
+    0xe8582d42, 0x97d340b8, 0xbf6741d3, 0x7991ea1e, 0x2daf320f, 0x090fdd89, 0xbfea14f8, 0x47df7400,
+    0xd7fb3b86, 0x4be43dac, 0x927032db, 0x44a7d7dc, 0x2003a28d, 0x6605a8f7, 0xe840a1d1, 0x235b8045,
+    0x6650238a, 0xb039de48, 0x16465921, 0xf2b828ce, 0x039c33c4, 0xf119ef9c, 0x0c4554fd, 0xb1625def,
+    0x7b258bac, 0xebbf50b4, 0x1b449ff6, 0x49211bee, 0xce57216c, 0x596ecb26, 0x3261b43f, 0x9b982e1d,
+    0x982291de, 0x55b8cc94, 0x9fcf838e, 0x32d6768a, 0xa7e28ebe, 0x5a8c145e, 0x1d8b92e4, 0x4a4f6507,
+    0xf1d374cf, 0x5ee48c4a, 0x24c14dd0, 0xca0a7fa6, 0x8290e790, 0x35f41b5e, 0xc8184abb, 0xdee48dc2,
+    0xaac839c0, 0xb773a14b, 0xdf3de2a1, 0x7e082619, 0xe641ac5d, 0x084d07b8, 0xac5d7b72, 0x9d4a22fe,
+    0x88f78b3a, 0x0271141c, 0x480a6113, 0xe24087e8, 0x3a512635, 0x8523d810, 0xaa9383e3, 0x28246450,
+    0xdbb2dc06, 0xe9184cfe, 0x976ebd35, 0xbbe3241a, 0x7ea8a8ef, 0x87e99d9a, 0xf1d06fc0, 0x02632cb8,
+    0x06daac30, 0x1b31e470, 0xc3897945, 0xe0220ba3, 0xfd759e06, 0x710826bd, 0x0e5fe00e, 0x12a46622,
+    0x6f1d8904, 0x5942c9b4, 0x6dae0136, 0x3feffc8f, 0x5336c0d9, 0xeae2d5dc, 0x17a305f0, 0xe9e33a41,
+    0x0522c54d, 0xb4cbbb69, 0xd3520b07, 0xd7ab1e9f, 0x88104cf3, 0x0646afb1, 0xb80ce2de, 0xa9697a5c,
+    0xc09e923c, 0xcb2706fc, 0x8a8321fe, 0x51740216, 0x197fbf40, 0xcdb5d49d, 0x4c4a0094, 0xb62a2d4f,
+    0x2821a20e, 0xd9d80709, 0xa0f2404a, 0x11ce688c, 0x5e9d9189, 0x4a88df61, 0x20b6dfe6, 0x30ddf1d7,
+    0x1d65f093, 0x3796c241, 0x260b8ebf, 0x5b850936, 0x673fe881, 0xd0688d72, 0x2c6770e8, 0x107454ec,
+    0xb072e790, 0x7f3cdd16, 0xe1ff477b, 0x174b4163, 0x6b448c2b, 0x5afae491, 0xd9bcec40, 0xa68770a2,
+    0xb4651b50, 0x2190b73b, 0x81e026a8, 0xc8dfb115, 0x6f5634de, 0x1285df03, 0x437aa28c, 0x506cc9d5,
+    0x28717517, 0x44dd351a, 0x2d36d5ea, 0x43e561d1, 0xe7fb87e5, 0x411593ed, 0xef297a9e, 0xe31253f9,
+    0xbbbe6ac2, 0x3efadb41, 0x0aa6c843, 0xcac11d3b, 0x4f302d69, 0x551d04aa, 0xc33c4ca6, 0x28997405,
+    0x90b9d57a, 0x2c386e8b, 0x953ac6ac, 0x93b7fd3a, 0xa75d9051, 0x4328d83a, 0x22b84390, 0x8d2720f5,
+    0xa577ceea, 0x3eb720bc, 0x4c5d1ce0, 0xa2a321a7, 0x5bcf0b95, 0x8da7574d, 0xc6f988f9, 0x5b85591f,
+    0x41f81416, 0x3b3092ee, 0xb67e6d19, 0x354727f5, 0x17be5849, 0x210a4c82, 0x93b88e7a, 0x3f639e25,
+    0xc86ec4cd, 0x32f4e94d, 0x789927f7, 0x843b5e29, 0x71e6c891, 0x8f5be463, 0x4b1e7b2f, 0x5b58ed42,
+    0x0515db67, 0xeaef6c7d, 0xa970bf8a, 0x4b5da261, 0x6cf29254, 0xf8703efc, 0x18d7eb5f, 0xb1551aa7,
+    0x67c8bfe8, 0xf3433a7e, 0xcb4e6b37, 0x0405628b, 0x35d271c5, 0x54c960bf, 0x202bd332, 0x30daf38b,
+    0x67465b4b, 0x65425f4a, 0xbcaf0a2f, 0x23e08324, 0x87d3efc0, 0xf3715dff, 0x1f8900a1, 0x9661bfad,
+    0x0a58025d, 0x8a8c883e, 0x07d33f2d, 0xdea2b4a5, 0xc8951f5f, 0x7afaf60e, 0xda959abf, 0x81807e53,
+    0x661f0a8c, 0xfd39e97b, 0x0227b35a, 0x14a076ca, 0x30502615, 0x3e2ae2bb, 0xde556d00, 0x80a4d244,
+    0xf58e863e, 0xce85c933, 0x882d4de7, 0xec250c48, 0x705b9b27, 0xf5b17556, 0xec96ed0d, 0xec80798d,
+    0xf60f545f, 0x6ab52cd4, 0x3855d9e1, 0xfa7d85ef, 0x0875d7ee, 0x58af4d15, 0x3ae613ae, 0xf6abe70f,
+    0xda5e70e9, 0xfc268b64, 0xa70c9d0e, 0xd76ec14d, 0xcc0cb877, 0xf32cd35c, 0x88e14093, 0x6b1bb652,
+    0x352500f3, 0x07d164de, 0xb0eee54c, 0xbe833212, 0x3eea079f, 0xfbef6899, 0x189c0848, 0x387fcd64,
+    0x98deab3a, 0x8a6af0b9, 0xb7b2ed05, 0x58ba9474, 0xd41003b5, 0x8698bd45, 0xeab6357f, 0x0a726ad0,
+    0x83bec90b, 0xc24b2c20, 0xa692dbb3, 0x35fb887d, 0xebd5c752, 0x84c0a68e, 0x0ce572d2, 0x116e24a1,
+    0xb0221905, 0x2c26b3f8, 0xcdeadcbb, 0x14545267, 0x3f901e49, 0x460bcd07, 0xb48019a2, 0x9383ea47,
+    0x801ed03d, 0x71972964, 0x9a309615, 0x3188952d, 0x550d0970, 0xbbaa44c1, 0xf1b0e015, 0x4ff5c467,
+    0xe2daa99f, 0x8fcbd7be, 0x3d002105, 0xe762ddb6, 0x09eb75e2, 0xe0780c5c, 0x3772683e, 0x6819ff02,
+    0xef5e395c, 0x745ca27a, 0xb3a542da, 0x6c002334, 0x4b705d09, 0x44ca9758, 0x79d80b8a, 0x2c867609,
+    0x629bc839, 0xa06a17b0, 0x1086fc15, 0xd7ba26ea, 0x17d1b590, 0xbc0d6d07, 0xc39a865f, 0x8dc1e626,
+    0x89c44bae, 0x5991b2fa, 0xc4ac3fc5, 0x616085e4, 0xd3943e4c, 0xfe3761c1, 0xfb1ad8e4, 0x9a73d506,
+    0x26bd661c, 0xe132e761, 0xda9bed18, 0xa7bcd04c, 0x1a8f2ed1, 0xf1bf8baf, 0xce0d1e9f, 0x4fcbc13c,
+    0x90e41e0d, 0x9dd3a6c8, 0x7f79b7d2, 0x9d7bbd37, 0xfd1cdb25, 0x68847667, 0x0b5f5793, 0xeec1c95b,
+    0x00000000,
+    0x4e99584e, 0x1ad59807, 0x08dbfd4d, 0x7a14f5e5, 0xa0aa4e29, 0x7062e0ed, 0x7810b115, 0x3d317ccd,
+    0xa9bfbe8c, 0x2958b724, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0x3fff95b2,
+    0x00000000 }, /* 10**-00000255733641241886083594780445064656183766925159847114436678382138132510452\
+                          84411519960025547596296126227741302219746563054759509816764729633229129121792 */
+  { 0x00000000,
+    0x15ee24c1, 0x0bb61b0b, 0x1c6cbf92, 0x69d80be4, 0x6cc9430a, 0x77d44d41, 0xe965c5d8, 0x3b938c89,
+    0xa682c9a6, 0x566249f0, 0xb9fe36f2, 0x833f5e40, 0xa1864f65, 0x1f734356, 0xa024f44d, 0x2b5ffdf1,
+    0x3d307c97, 0xb1bb919d, 0x2b4f1476, 0x60d0da2a, 0x99457cf5, 0x5a084f4c, 0x214f0f45, 0xa68a4e52,
+    0x34eae254, 0x00715311, 0xcf5554e9, 0x93af22db, 0x9dd1e118, 0x1a899cb0, 0x07f5866b, 0x9df7560f,
+    0xf1271a70, 0x233919f9, 0xf66f432d, 0xb17e8a12, 0x60344cb0, 0xe8284acc, 0x66832f79, 0x2d1515df,
+    0x1479993a, 0x41bc6b7e, 0xdf11a19d, 0x55c7a664, 0x834d1780, 0xe0b10ad9, 0xd693fd10, 0xcf64325e,
+    0x1cc9e893, 0xe5b97582, 0xd380bab8, 0xb8b8cb4d, 0x8dc5498b, 0x31e05dc7, 0xaff6e614, 0x39b2a074,
+    0xb535c41c, 0xad9472f8, 0xcd2454fd, 0xb053dd94, 0xf75f922b, 0x4eb8f5d1, 0xa0b7b1bd, 0xd27425c0,
+    0x8da06a73, 0x248f97fd, 0x8de476fb, 0xf44bd345, 0x78817bf6, 0x9a53e760, 0xaf016c2e, 0xde79873a,
+    0x2ea3183e, 0xad0a227f, 0x8e69a5bd, 0xc1b4f863, 0xf4690e94, 0xbd61e50e, 0x5ea7dde0, 0x325b27a7,
+    0xb1cacb4c, 0xfbe11949, 0x80c77bc0, 0x44d892be, 0x3d9654d7, 0x5c044bfb, 0xb32c1728, 0x8d695186,
+    0x432c37d1, 0x1b5eba38, 0x26107db6, 0xdbd4f668, 0xad254ffd, 0x44780315, 0xcb8a90c6, 0xff3c8d63,
+    0xf67ef91d, 0xcdd7266c, 0x5e49f769, 0x0892a86c, 0x73dbf948, 0x0f55f098, 0x3b2d555f, 0x4da74d73,
+    0x73082dac, 0x10285d31, 0x867d01bf, 0xcd21d1cc, 0x6bd6c0f7, 0x7c37ffdc, 0xa254ea2d, 0xe4e1660e,
+    0x7781909c, 0xa38249c1, 0xbd3bd1d9, 0x0edf8429, 0xcba27703, 0xda2b469c, 0x86f18a7a, 0xb780873c,
+    0x49b9ece2, 0x7c1d91ef, 0x82486b4f, 0x04fa5b41, 0x5741ef5c, 0x18167020, 0x40b83bde, 0xa66da522,
+    0x586a86b3, 0x21737fe9, 0xe89ef171, 0x318244db, 0x4eaf2619, 0x821db2d2, 0xc69e34d2, 0xa2699190,
+    0x401a4d58, 0xbdc6269f, 0x7dd0dddf, 0x13f6572d, 0x3c9ad5bf, 0x3eb230e5, 0x312fc637, 0x7c9eb768,
+    0x41993457, 0x16bb5f93, 0x2fbd5d3d, 0xc2bd2879, 0xbc3ed6b5, 0x8bf0be13, 0x811a1e52, 0x90a2f5d4,
+    0x113dba1c, 0x89a8eca5, 0xedeefa58, 0x555c8cb2, 0x766195dd, 0xe4254bc0, 0x69ef0c54, 0x58a668fa,
+    0x35458770, 0x1bfb0050, 0xdadbfc67, 0xf2a63b34, 0xc12536f5, 0xb1163f39, 0x222e20d2, 0x4b310afd,
+    0xecf624f0, 0xa94ba926, 0xa42dcad4, 0xa69a6c32, 0xe053da11, 0xa37ca524, 0x900039ab, 0x8e07179d,
+    0x3bf478d4, 0x30c8cb1d, 0x9bc0d6e5, 0x5886aab8, 0xa873059e, 0xd263c748, 0x6e126d94, 0xfa41095f,
+    0x94de6d6e, 0x5c642e86, 0xdc71200c, 0xa135f43b, 0x06e0446d, 0x4a564a68, 0x1e4ffded, 0xf3c7d7ac,
+    0x04368385, 0x08a8fc16, 0x8d363eaa, 0xea4d52a3, 0x0788d10a, 0x36ef2e83, 0xff890a63, 0xc5808436,
+    0x0f103ef8, 0x10ac4e48, 0xb2f8f8d0, 0x9325eb91, 0x07fd7f85, 0x34a01c63, 0x2d1dd95a, 0x44a5e492,
+    0x4f3bba49, 0x7fa816f6, 0x4ad0b349, 0x218a7fbd, 0x6a96f3e9, 0x45fd9900, 0xa6f82539, 0xa488fb6f,
+    0x418682b3, 0xa09be7ab, 0xef92e68a, 0x5cb5e950, 0x76b0ef5a, 0xa86b7577, 0xe7980c31, 0x2c36482c,
+    0x24588f40, 0xd4378f1e, 0x5bc66479, 0xde43cfb6, 0xa0416b6c, 0xb6abed0a, 0x446cd08a, 0xf4a1a8d7,
+    0x01705ae6, 0xa2469ec4, 0x4fb3a9a1, 0xc103bdd7, 0x3cef810b, 0x9d7a2a43, 0xc3f6c069, 0xc72e0ac0,
+    0x360c104f, 0xa43409b9, 0x1c3542cc, 0x172c42be, 0x0a027ed5, 0x45e1717c, 0x4cd61ce0, 0x88def3d5,
+    0xa94b11e8, 0xe0573861, 0x0c2a8b08, 0xfa35f769, 0xb6ad837b, 0xac10b73a, 0x5708f9b7, 0x4b483ac7,
+    0x660e5fdc, 0x26ea8662, 0x2f7cfd1e, 0x3be0b59f, 0x0d1592ca, 0x935a995c, 0x6d822b0f, 0x520acffb,
+    0x59cc9aa4, 0x6b9b74ad, 0x2a905a4c, 0x012801a8, 0x3e297bed, 0xe945753f, 0xe668a1ea, 0x8d336e44,
+    0x58766961, 0x65be5400, 0xd379b6b6, 0x39f33756, 0x24c19370, 0x91ca9437, 0x098dbaf6, 0xb90d1425,
+    0x828d93a4, 0xb02764f6, 0xf52b4a3f, 0x6c75816a, 0xe324dc4e, 0xe9ec73c2, 0x82bc90fc, 0x777a628f,
+    0xc4847e78, 0xb9aa9f9f, 0xa34b3e00, 0xbad341e7, 0xfc1c833f, 0x632ed0ec, 0x824d1d6d, 0x4aca6596,
+    0xf77f042c, 0xfcc6795e, 0x37c62c3f, 0x7a7d4fcb, 0x9e2b64e8, 0x33cb5bd9, 0xf8283300, 0xddfd9cfa,
+    0xce7cdd38, 0x0fc5c4a4, 0xbc0972a4, 0x9dc7f181, 0x73862a34, 0x53da2b70, 0xf3617a18, 0xe6f91f14,
+    0x2784b321, 0x24d765ea, 0x88050133, 0x65c81bc5, 0x57717a04, 0xfb8a3b29, 0x93f1a617, 0x26469080,
+    0x50e66ec2, 0xabc19ffb, 0x5d4d6658, 0xce655999, 0x1ef81bce, 0xe9ee22e7, 0x14d3834a, 0x33da279e,
+    0x3c4e33e5, 0x31707c9a, 0x3164de97, 0x7b1d1325, 0xf573b2c9, 0x303de93c, 0x6854da80, 0xd828b6b9,
+    0x4a20619b, 0x97bd3d97, 0xc8e67318, 0xd897ddd9, 0x2881c1c0, 0xb77f408c, 0xefa54a8c, 0x6cd272ef,
+    0x87adbeda, 0x9a4bb8fd, 0xeb19df99, 0xa2567258, 0x7ea7c5a7, 0x915301ce, 0x7a4c5e0e, 0x22c45cbd,
+    0xd21b601f, 0x58e81123, 0x7f7cab60, 0x82061141, 0x43332cba, 0x3d37f7ca, 0xc34f49d2, 0xf39ae35b,
+    0xa229cf29, 0x51b0e996, 0x33773202, 0xb14d786b, 0xf242ed22, 0xb7a49707, 0x7a07d5eb, 0x0c88318e,
+    0x1a459d5c, 0x388f484f, 0x9ccaa33d, 0x42766068, 0x917b0ab7, 0x5963d208, 0xd7841856, 0x565db009,
+    0xb8cdb88d, 0x2b0dbfc0, 0x565e2c10, 0x81c127f8, 0xaec2a650, 0x2ee3b137, 0x1c27f00d, 0x1d0bc3a9,
+    0xb1b247c1, 0xa7ffbe66, 0x17acf99a, 0xe1f72fc2, 0x6b3b0d4c, 0x3b1f5346, 0xd0fb8992, 0xaf60c29c,
+    0x9bce7650, 0x5394fd22, 0x70323a75, 0x66fc0685, 0xf06165b2, 0xbb11560d, 0xd0ff23d4, 0x4059a50a,
+    0x831e9acd, 0x6b1c387f, 0x5f010c9d, 0x5f1ac510, 0xf4e3bf7c, 0x6b22534a, 0xecc5844a, 0x7a0c319d,
+    0x18c01cdc, 0xb6b62a26, 0xf9286eaf, 0x0dabde6f, 0x569a9ec0, 0x3cabfad7, 0x50e2786f, 0xff81b64a,
+    0x567b35a0, 0x74cb8280, 0xb2416e8e, 0xf6fc463f, 0x46af7272, 0x7a9f1be2, 0xff8e9c24, 0x42eea429,
+    0x121f61e3, 0x3886b594, 0xde5c3d0f, 0xda2dff17, 0xdd2178c0, 0x00ad84b4, 0x120ed661, 0x0c4c076e,
+    0x17db172b, 0xf0044453, 0xcb7ca80b, 0x5e1a5d82, 0x6a2eb95d, 0xa562db9f, 0x56e0a132, 0x18e05e8b,
+    0x2e7cdc8b, 0x58fe3202, 0xcf88b74b, 0xb722e9ba, 0xfe210447, 0x918106af, 0xbde07823, 0x0607315a,
+    0x89710054, 0xa81acabb, 0xa3ed0b40, 0x31d727dd, 0x4fe327b2, 0x51dcc270, 0xc1b77ac1, 0x16d7a605,
+    0xb98cc6f1, 0xc9138ef1, 0xace7252f, 0x8d35237e, 0xedecb6d5, 0x20ec2be7, 0x48b3784e, 0xe0fe0b55,
+    0x19f29448, 0x8fcc620e, 0xe6fb1c5d, 0x82890a06, 0x1153fdea, 0x8da57efb, 0xac2c83f4, 0xf36c93bd,
+    0x8279acb5, 0x985851c6, 0xf54bae66, 0x473eb786, 0xfcba1ef2, 0xd2293dc2, 0x3fe3f327, 0x17d66f2c,
+    0x0b99cb90, 0x44089ee6, 0x1c1514c2, 0xed5b71d7, 0x8945704b, 0x2b48daf1, 0x1d7c9c60, 0x19373453,
+    0xe37e57ba, 0x6de2a09a, 0x5643bbe3, 0x49e14745, 0x097a83d5, 0x1d30db42, 0xc055e1ef, 0x5a2cd883,
+    0x8b707d9c, 0xcac77518, 0x6624d7af, 0x44fbdc4e, 0xd773f539, 0x92882db6, 0x8fc8c149, 0xa9e8e6db,
+    0x3628e402, 0xad303a6b, 0xe3292c86, 0x0496fc1d, 0xde2a3b25, 0x750ac922, 0x60db5893, 0xad5d4cc3,
+    0x568daa3a, 0x8e80c99a, 0xfed60c6a, 0xe24f8cb3, 0x0aa68766, 0x20037496, 0x4edb021f, 0xc21595bf,
+    0x052914c4, 0x40eb1fc5, 0xf65ec528, 0x8576bd88, 0x07da0df2, 0xd0a77e39, 0x78d39bda, 0x2cdb5d20,
+    0xd6fe05d3, 0x1f6d3fe4, 0xc5fdee33, 0xea780d84, 0x78bee73b, 0x00b3f3f4, 0x7cd1c0e2, 0x665d6487,
+    0xc9e06f30, 0x342e225d, 0x92cbf09d, 0x26100eff, 0xa70416c0, 0x141c8a17, 0xa670304b, 0xff1ab8ef,
+    0xe498262b, 0x1474250b, 0xdd2ba474, 0x3714160b, 0x52e2a09a, 0x899bd834, 0xac932cd4, 0x574476ce,
+    0xd417e6af, 0x1aec4b0b, 0x955a29a8, 0x23062fe1, 0x5175c18d, 0x6c60ba3e, 0xedf0286e, 0x60f45740,
+    0xf367f77c, 0xda8e3269, 0x7b54fe06, 0x64d6e428, 0x25d1648b, 0xb35eecfd, 0xeac819c2, 0x53907c9e,
+    0x8fcd585f, 0x73b47173, 0x0b649c22, 0x4107575a, 0x1fa44744, 0x01f6e470, 0x36b2f2b5, 0xd1228e7e,
+    0x627fbb8c, 0xb1f058af, 0x07fa92f0, 0x062e5195, 0x7b961ded, 0x3cd0f481, 0x593085ec, 0xc31d55bd,
+    0x2bcb7a54, 0x3da121f7, 0x7ec9985a, 0x52e4bacb, 0x6a2ec5f7, 0x0e01c160, 0x6899b989, 0xcf775cbb,
+    0x5dd98674, 0xcbc8da4d, 0x28f638d4, 0x3adcee4d, 0x6193cfa1, 0x7633dbaf, 0x912ef99a, 0x364516ca,
+    0x4a743546, 0xb58f9ffe, 0xb250d0c5, 0xab76166c, 0xcb401c3b, 0x776189f4, 0x09b88b7e, 0x9249ff55,
+    0x8772581d, 0x910e0564, 0xfd203eed, 0x61b56f5b, 0xfb1dddd6, 0x93389b59, 0xe3788e8b, 0xc34548b9,
+    0x021d7740, 0xeb204b2d, 0xecb1b2e8, 0x59643224, 0x047b0b38, 0x5236b530, 0x03cc983b, 0x2178ade9,
+    0x186d307d, 0x57df13f0, 0x6c100e8b, 0xcb188868, 0x1b11bfb5, 0x57a5bb3b, 0xbcfeec04, 0xccde2e1f,
+    0x2f3cadf0, 0x49363d7f, 0xbf2762b2, 0x0ec1b8e7, 0xbbc1d274, 0x9efe5014, 0x7890efb1, 0x5d34211d,
+    0xd9b278e5, 0x342a0e2d, 0xd4db1d45, 0x538b9196, 0x42421653, 0x0107c60d, 0x73721488, 0x6d67d483,
+    0x1f2e5eed, 0x78fd7675, 0x446ba6f5, 0x3b16ec8e, 0xdb4127f6, 0x9cea4499, 0x397d2cb1, 0xafa22920,
+    0x12e813ca, 0x9e13c3fb, 0x93962158, 0xfeb65095, 0x10c63b4b, 0xedf2b9db, 0x60e82fd1, 0x30904707,
+    0x6ea753d0, 0xfb6608ee, 0x2843dd1c, 0x7bb389d8, 0x13e1524e, 0x1cb048c8, 0x70161562, 0x1d0d3ed5,
+    0x8289434d, 0x0c593c79, 0xf8a2d72a, 0x7478ecfa, 0xb7c6f017, 0x20a04f16, 0x88c6ac6a, 0xfd6291ee,
+    0xc74fffd5, 0x81c0fe93, 0x6e168f4b, 0x7a6fe928, 0x1c64302d, 0xb7ca88af, 0xdb7bed44, 0x2886d7c7,
+    0xe8bb7623, 0x7a3f1857, 0x72831d2e, 0xa0531cec, 0x430227ac, 0xfa0c8ba3, 0xdf76511b, 0xf22ccffa,
+    0xfc7a4748, 0xf7716711, 0xda4e0323, 0x6390c1f0, 0x019d6441, 0x5bee7e3b, 0x44305486, 0x0efb3911,
+    0xe56a267d, 0x1ad71e6f, 0x43b82d94, 0x2226da59, 0x9316bc76, 0xbd1a8736, 0xdbabf255, 0xe065a1ac,
+    0x5d9b756b, 0x51264ea5, 0xda609c20, 0xb6f93112, 0xc4cc3ba3, 0xe53e58f2, 0x67685637, 0x1a6bc282,
+    0xfa272da3, 0x7eaebfd7, 0x85bf2e08, 0xe421c465, 0x14cdb07a, 0x86ca5a7f, 0xabff53c5, 0x114272f6,
+    0xd52c4649, 0x3d740d19, 0x16c8d4a3, 0x9fbcc4a1, 0x9372a651, 0xd15674bc, 0x0c9eb2f8, 0x4a6896b2,
+    0x9973013c, 0x1e65cc56, 0xff8ea382, 0x5d6e646f, 0xd558ec33, 0x8c51876c, 0x1daf18c8, 0xd88052e3,
+    0x7f9839e2, 0xa0935c24, 0x20de1a2b, 0x708b1016, 0x80ef62fa, 0x8de5ba4a, 0x5a4c27fc, 0x0ceb4269,
+    0x516aaa86, 0x9d176194, 0xc1fa9035, 0x49ce58d2, 0x0119224c, 0x071eb817, 0xd96205ab, 0xc1477877,
+    0x6c2e57e7, 0xd887aab7, 0xc0a22e1c, 0xbd114874, 0x35add4a6, 0x2176bbbe, 0x829d80ac, 0xb366973f,
+    0x3a2ad94d, 0x4d0121e2, 0xc474b3fc, 0xe384e1fd, 0xf4f87a49, 0xb4727adb, 0xfea156c1, 0xf2e65ef0,
+    0xddad135e, 0xd75da84e, 0xa04542b3, 0x781de659, 0x1ab27947, 0x508e570e, 0x64a7abe4, 0xc9e4c93e,
+    0x6aa684ea, 0xc16664f5, 0x9becf269, 0xaa39c99c, 0x35dfe793, 0x0e718efa, 0x1cec7f45, 0x25baeee2,
+    0xd77440d6, 0xf748ee98, 0xbe1c5f07, 0x4df7d4ce, 0xb994d7cb, 0xa48b864b, 0x4afd7604, 0x50e6b3a9,
+    0xd30aa4c7, 0xfbc7a874, 0x0cc00052, 0x00d07958, 0xb5c8f566, 0xc024254a, 0xfa03da42, 0xc8b675c4,
+    0xe7334fe3, 0x0c59be17, 0xf0b22018, 0x20623b87, 0x73e205fd, 0x3dce3e15, 0x62f10353, 0x29596022,
+    0xbcf4135c, 0x3cf7f78c, 0x26f4fa6c, 0x10de6fd9, 0x12accc17, 0x4345ab11, 0x7d8a2509, 0x006b20bd,
+    0xd1e3e2d3, 0xb6a7088d, 0xeb7a8785, 0xaef41397, 0x51e2bbe0, 0x36a8f6aa, 0x074759ab, 0x8aabe70f,
+    0x253feb7e, 0x390ee351, 0x39659836, 0x5b90f212, 0x455157c2, 0x6c96c965, 0x33d5ceeb, 0xe874b671,
+    0x5498cac1, 0xbdeb6a48, 0xc9fae865, 0x3dfb51f4, 0xc9acbcb6, 0xcb2f7ac1, 0x801098eb, 0x9fc8fc85,
+    0xe6958c5b, 0xc7362989, 0x51075611, 0x95d95e5d, 0x4f878fd8, 0xdf96a325, 0x1bc6b54e, 0x5396ceac,
+    0xa365fca2, 0xa278dbb9, 0xe9dcbf5c, 0x2499087f, 0x958a996a, 0xa3a730c3, 0xcb4cd44c, 0x64f79064,
+    0x54ea3913, 0x1037eee2, 0x4102c80a, 0x48aaa816, 0x934de360, 0x9b93da32, 0x514e84c9, 0x61863516,
+    0xdb2337e3, 0x6535c009, 0x5e044b6b, 0xd9d79e79, 0xea6a19fe, 0x2efc29f0, 0x6b872b46, 0x39a0209d,
+    0xabdd3591, 0xed10e49b, 0xbba14f63, 0x6e7272d6, 0xd4d62ba3, 0x9af6b046, 0x81475f27, 0x2615bb4a,
+    0xd2a3891c, 0x43c184b7, 0xe6680b41, 0x5aadff32, 0xd8a66133, 0x29d86ebb, 0xd0fae821, 0xeabef674,
+    0x80992a8a, 0x02b4b2ca, 0x98b4b395, 0x05a4d0ca, 0x2be4cc5d, 0xc1b56579, 0x4465e69c, 0x463b1bbf,
+    0x74ee5562, 0xef5b0c63, 0xfca8b058, 0x012de960, 0x517a78aa, 0x4d06797d, 0x8968e84f, 0x0e56a84a,
+    0x49308d64, 0xbc7974f7, 0x5da30ecd, 0xb190c5e1, 0x2652d988, 0x424af09d, 0x531652d4, 0x36067230,
+    0xf860a11c, 0x6309a707, 0x93c072dc, 0xb30135d1, 0x7fcbd3f6, 0x7f4be988, 0x6c0d18e4, 0x3eefc6b2,
+    0x234b1e88, 0x5d6de9ee, 0x17db08ed, 0xd5a12e4e, 0xe1111e6b, 0x0d8f3045, 0x280021e9, 0x58dec7d7,
+    0x5b47a78b, 0x5cfc8141, 0x1de3d65d, 0xe8587f31, 0x48a02bc3, 0x90c67825, 0x7ae7f7cb, 0x21d83dd6,
+    0x7430695f, 0xfecb938d, 0x76e21523, 0x6d734388, 0x387afcf1, 0x9064465f, 0xfa9bd068, 0x25843283,
+    0x5526ed86, 0xd4c76caf, 0xa8ddf313, 0x4ca8bf4c, 0x1c370c68, 0x22be87db, 0x32e48d2d, 0x9ed686a4,
+    0xe3b7b1ab, 0xd3488b0f, 0xb50cc204, 0xf3cdf0b0, 0x8b66effd, 0x133c91d7, 0xec29eba6, 0x2dbbe762,
+    0x9aaf254f, 0x0461a86d, 0x6e64cef5, 0x2831be26, 0xd729309c, 0x87225ec2, 0xfabb7a82, 0x43969d66,
+    0x75c9dabf, 0x1e9cca02, 0xe359ded8, 0x6fb07013, 0x58ed853c, 0x86a2e09b, 0xec579eb7, 0x437bfa6e,
+    0x1c309e83, 0x5c01a88f, 0xe328f730, 0xf07898da, 0x5a5ca0f9, 0x04b97292, 0x7e7cf1ac, 0x170549f5,
+    0xe000a612, 0xd7283241, 0xf0babe23, 0xfa2cc125, 0x85fa57c8, 0x69eaac82, 0x06c41db2, 0x2a934295,
+    0x5306ce2b, 0x475d889f, 0x45c885df, 0x1c5c09fe, 0x8cfa4664, 0x6d3d07d2, 0x3983abb1, 0xf73a6bcd,
+    0x00000000,
+    0xa74cac26, 0x8d6acc03, 0x846dfea6, 0xbd0a7af2, 0xd0552714, 0xb8317076, 0xbc08588a, 0x1e98be66,
+    0x54dfdf46, 0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0x3fffcad9,
+    0x00000000 }, /* 10**-00000127866820620943041797390222532328091883462579923557218339191069066255226\
+                          42205759980012773798148063113870651109873281527379754908382364816614564560896 */
+  { 0x00000000,
+    0x4fe0664f, 0xc39b8228, 0x5bae09b6, 0x6617df64, 0x59f2346b, 0x56be3502, 0xc2714f95, 0x45041b94,
+    0x954e3169, 0x36949061, 0x22d4105c, 0xa463ac4b, 0x9a84c813, 0x4081126e, 0x3c067550, 0xf8b00d61,
+    0x67ac7642, 0x311a22d7, 0xd53a48dd, 0xc34c9672, 0xf3ecd2b9, 0x2465ed86, 0x91576fb8, 0x0ca4c3fb,
+    0x9de81451, 0xb398bb65, 0x8cc3b95e, 0x136a1ea2, 0x31da400c, 0xaab37f0f, 0xc5f60eea, 0xf5215a7c,
+    0xe7f257b3, 0xb84ca311, 0x18c85b62, 0xcdef67a3, 0xe8487375, 0xc93e1b3f, 0x716df7dc, 0x090c3e8e,
+    0x1ddb6d6f, 0x6a1b8490, 0xc0011163, 0x0dd7815c, 0x89353f68, 0x694cecbd, 0x5cfc4197, 0x829a6b4f,
+    0xfa4f3c83, 0x486c3dc0, 0x6991c530, 0xf5b27477, 0xb9cd951e, 0x2777f792, 0x6ba89d46, 0x02c80380,
+    0x9b5876e5, 0x6d042553, 0x7d35bee2, 0x11924cce, 0xbfd03352, 0xbb515a88, 0x04e74f8c, 0x7e5022cb,
+    0xfce73503, 0xac3498c8, 0x7da6d6c4, 0xca63b803, 0x1af3d915, 0x2714d2a8, 0x2d0c09d5, 0xa632b022,
+    0xd2aaffef, 0x63fb9756, 0xbde60afa, 0x56162b7c, 0xc211f736, 0xb65a1666, 0x0ba99bae, 0x66fdbacb,
+    0x87d9d8fd, 0xa2461af1, 0x9ef30930, 0x99ac7b7a, 0x11e36a52, 0x239d77e8, 0x4939eb4e, 0x9fa59644,
+    0xc1554d59, 0x990bf20a, 0x6e1ded26, 0x931ec8eb, 0xa25d4955, 0x4cab94fc, 0xbe0de60a, 0x4d462c21,
+    0xebae07d8, 0xe49735a8, 0x5ee89224, 0x1d064914, 0x01952832, 0x9aecdcca, 0x429ab66d, 0x7f78e6a3,
+    0x1160eb4b, 0x2a964f40, 0xbac4f6a2, 0xd6b597ce, 0x337cdea5, 0x7a2a4bd2, 0xdde9ebe9, 0xf474dfd6,
+    0xdf0a608d, 0x6df44aaf, 0x1907208f, 0x38c171cb, 0xeab8c192, 0xda5c32ac, 0x633187f8, 0x2c6aa8ce,
+    0x72ee05a0, 0x89fda4c0, 0x7272646c, 0x9c0b551a, 0x145e44e2, 0x5175012e, 0x5f9e5884, 0xe5dc22b9,
+    0x7dcdfc6c, 0x075318bd, 0xa35ad206, 0xe7fff3a2, 0x98c1288e, 0xe2be2cee, 0x7ef68df3, 0xc6cf73e7,
+    0xc785a328, 0xd354674a, 0x0ba7a4be, 0xb75a55cf, 0xf6c3d6aa, 0xde7e824c, 0x6c7dc9ed, 0x21d1f8c0,
+    0xfac937a4, 0x5f72932d, 0x5077e107, 0x47cbd383, 0xebceb456, 0x1116e528, 0x36fa53fa, 0x061eb819,
+    0x67956125, 0x2c57da80, 0xd5d813aa, 0xf2130df6, 0xf194030d, 0xee631695, 0xb449b713, 0xfc54c7ce,
+    0xb12132bf, 0x44fb5ed4, 0xbee92c56, 0xd4eb027d, 0x12b9b291, 0x24367dfe, 0xc7fe94b2, 0x380f2d74,
+    0x6ef99500, 0x1843249e, 0x46d91f85, 0xe2913b33, 0xaa5c6f06, 0x0462ca86, 0x95df97c6, 0x1bf6e4b1,
+    0xf9380885, 0xb030ddaf, 0x0b2eebd5, 0xc808732f, 0x147eea26, 0xae33465b, 0xcad9a8b1, 0xc5fe7eff,
+    0x6bd7de31, 0x285ac3cd, 0x82260805, 0x7f07d5c7, 0xbd53f48f, 0x5d7be56e, 0xa83ed2b4, 0xadef5fb4,
+    0xfd779355, 0x9babf062, 0x8d1bfb87, 0xee10f72e, 0x071ffd60, 0xe8143373, 0xb3dc915d, 0xeccf5998,
+    0xcb3728d1, 0xafc6315c, 0x7f4e13b9, 0xb25a3204, 0x19f3484c, 0xfae964e1, 0x0c4797a3, 0xc1c5699f,
+    0x1536ef27, 0xf6ef71ab, 0xd450c369, 0xda74ec94, 0x4363b4ed, 0x568b2b0f, 0x5aced4dc, 0xb535589f,
+    0xe76203f6, 0xcd43ebc3, 0xc0df88f5, 0x5766eb57, 0xec326cdd, 0x9ed54799, 0x89d13438, 0xb4b5911a,
+    0x544359ba, 0xd5752488, 0x058ecb4f, 0xe1e6f6ef, 0xfcfb6c9e, 0x9d60dead, 0xd62904d1, 0xd528d791,
+    0xd2f77982, 0x510f0429, 0xc4622887, 0x75b90a59, 0x2106b056, 0x5309c57a, 0x801cb879, 0x93c59dae,
+    0x34b8aa22, 0x5a923082, 0x0d389acd, 0x466d09a2, 0x22349135, 0x1c5f263e, 0x635631ad, 0xa6346df0,
+    0x108ac04f, 0x7d1a7fa5, 0x722d7b85, 0x3c9836e1, 0xcbf64864, 0x9687daf0, 0x4a9996a8, 0x0bd625b0,
+    0x19a3eb13, 0xb79bde07, 0xc93cfa22, 0x292a2575, 0x448c22eb, 0x7d29ce0f, 0xd27c1575, 0xb217cd40,
+    0x7c6ebd05, 0x9aebad44, 0xbce702c3, 0xe568dd06, 0xf37bcb60, 0x56e9ae68, 0x7c394349, 0xa6e6f382,
+    0x90ca6d05, 0xed80d996, 0x5c20b9dd, 0x29221a90, 0x14cdb76f, 0x244d27fe, 0x0b01ff01, 0x857930ab,
+    0x188225e5, 0x0adaaf97, 0xb0b05cbb, 0xa3fbfa9a, 0x394a5115, 0x3fab2555, 0xe57ae6d5, 0x73d770c2,
+    0x5b88df36, 0x7a773bc2, 0x83e8fb5b, 0xb7858f38, 0xa3d32e6f, 0x01b8ce76, 0x3d64fcd4, 0xb2a96eb0,
+    0xee35bf16, 0x126dfffc, 0x58824bfa, 0xff9c0670, 0xcf6dd410, 0xef7a0cb4, 0x9ba76ec6, 0x85cad2a9,
+    0x1cfdc79c, 0xc9ad7e52, 0x00b5df62, 0xed88987d, 0x2d31aa62, 0x20161687, 0x1192788e, 0x40fc2210,
+    0x0baa94c5, 0xbb58783b, 0x2c5252cd, 0x08768bf3, 0xac326441, 0x7c356599, 0x8fc0d345, 0x17902522,
+    0xec3c888e, 0xd40f6d16, 0x2c69756d, 0xef737af7, 0x6d52057f, 0xa9393ed4, 0xea72600b, 0x6fdca1d0,
+    0xd96fbb3d, 0xf577dc9c, 0xd2fe5e1d, 0xac844950, 0x6ad937a8, 0x249e402c, 0x2c54e1ac, 0x488961e5,
+    0x805df873, 0x98bc362c, 0x2f17303a, 0x5f0347bf, 0xc36fe582, 0x8dbbc164, 0xcce3f6a7, 0x1fae68b1,
+    0x418fd74d, 0x08cd74e1, 0xd884a45e, 0x6886249a, 0x5f541a61, 0x52f01a99, 0x5b599c4f, 0x894303e2,
+    0x62f83e2f, 0xd440306c, 0xef4d1459, 0x0f9ade78, 0x3a27c67f, 0xa9a8f68b, 0xabcbf287, 0x5ec543c1,
+    0x719ea320, 0x562708a1, 0x3eaceff3, 0x8db4cdd2, 0x2cf94c25, 0xde4fa504, 0x9896f481, 0xf9fdaa38,
+    0x8b2baaa6, 0xf4340c61, 0x0e4c416f, 0x9e6c1277, 0x7a0f2d0f, 0xcf64aa6a, 0xadb4bac1, 0xab6ca780,
+    0xd2daa137, 0xd5b43904, 0x73ac0865, 0x3b99f0af, 0x06135df3, 0xdb369c89, 0xb8036e29, 0xe9bba9c7,
+    0x877f9196, 0x378f3952, 0xe37c7b67, 0x1a0704c2, 0xb2116c5a, 0x97fa067d, 0x7e0611b3, 0x2735c342,
+    0x99f377ec, 0xed4bf072, 0x09696e51, 0x059e80cf, 0x06fd792c, 0x219a1b2c, 0xa15a99cc, 0xadb3f4bb,
+    0x974d1cea, 0x337bed02, 0x5720b42f, 0x4c383da7, 0x07c384a0, 0x9392774e, 0xd8eb1182, 0x72117311,
+    0xf3988993, 0x24ab7a6c, 0x28be3cb9, 0x53071a0c, 0x8f017405, 0xf3468226, 0x65b4c931, 0x8172cb2b,
+    0xfa4e9a3f, 0xa855c8fe, 0x0d6aa6e1, 0xcc7816c1, 0x7d42ba7e, 0x6f664e90, 0xc2cc85f7, 0xda46d254,
+    0xc6286ba3, 0xa012b663, 0x8ff7c83a, 0x97daedfa, 0x9e9cbc2a, 0x2e09ffb7, 0xd0cccc83, 0x7058a282,
+    0x0f06c9fd, 0xd233db01, 0xcee81dfb, 0x3cf9c07d, 0xd0c3535a, 0x1e10befb, 0xa9d6c01e, 0xfe39c5d6,
+    0xb4cd626b, 0x02b4eddf, 0x2eed0fb8, 0x1a76307c, 0x43c455a7, 0xd2a46905, 0x06d885da, 0x66fce5c3,
+    0xbbb007e9, 0x7f9ef339, 0xd48fe6c7, 0x60b94581, 0x0625f013, 0x4369437c, 0xecdbe04c, 0x856d2aab,
+    0x492571c8, 0x73614f8c, 0x34f34036, 0xaf802b6a, 0x8eef9808, 0x1fabc3e4, 0x17891808, 0xe2970475,
+    0x9fc02e0c, 0x6d086df3, 0xa6431f41, 0xedbb5c65, 0xaa31444f, 0x1aa75dc9, 0x18770967, 0x115962da,
+    0xa60d1be0, 0x585c76a5, 0x5b83180b, 0xcb311f2f, 0xb3456dec, 0x487d7fd7, 0x820d0a89, 0x3083dc43,
+    0x9a8bedd8, 0x5824bbf4, 0x41bbd7e3, 0x1e117254, 0x1d542e1c, 0x82180bcf, 0x8de85349, 0xa4b42054,
+    0xa588d4e0, 0x9848be2d, 0x2740a8f4, 0xe94ea131, 0x0a373f86, 0x8b7c9e8d, 0x8d658dcb, 0x1f30fe8d,
+    0xa2b90339, 0xf37847fb, 0x84570b63, 0xa1767d18, 0x804a6d4f, 0x38414cf5, 0x693e973c, 0x088e28ad,
+    0xde63c5d2, 0xe2b8fbf1, 0x57160ae2, 0xd43f140d, 0x4ad38775, 0xfcf6bb09, 0xce894f2b, 0x74ca30d0,
+    0xd8972547, 0xc6b13732, 0x84d6e6f1, 0x6ab5128d, 0x38e10d0c, 0x3cbe14f7, 0x66ffb0f4, 0xe194a8a5,
+    0xf158222a, 0xc1688f37, 0x68a29e41, 0x85dae5bc, 0x7f6dfc32, 0xc9439e21, 0xb057dfc6, 0xd38a16f9,
+    0xc4d88d01, 0x63dd738f, 0x9f6b2a87, 0x38724bde, 0x1b87118d, 0xdda5416d, 0x649f9954, 0xff7dd996,
+    0x08d35844, 0x4b8b45fb, 0x4253974a, 0x85996c94, 0x424d9c38, 0x4baf0e09, 0x8d21b8ce, 0x3828881b,
+    0x96e48d7d, 0xb3b9bc7b, 0xc4ce1a11, 0xb4c87cee, 0xa1ca0137, 0x81c4e89a, 0x58a9a492, 0xa3b5421a,
+    0x676f5af5, 0x70a75992, 0xb914c798, 0xb007e930, 0x861b9222, 0x2faed34c, 0xb11fa37d, 0x67a18a73,
+    0xa002cca2, 0xde6602d6, 0xfbf0ec36, 0xa0bb687c, 0xeebadff6, 0xa9648efb, 0x86320402, 0xeda529cf,
+    0x01197879, 0xce018e54, 0xc199442b, 0x05baa9d3, 0x78dfce23, 0x77c397de, 0x47744939, 0x41f385ce,
+    0x6bf5c864, 0x92bdf14b, 0xea6ce0c5, 0x29c27592, 0xa5c82f70, 0xee50e156, 0xd0dd6b4d, 0x76e232d0,
+    0xcfe6692b, 0xb368aff1, 0x74747e74, 0x4f0e1d47, 0x0ecdaf32, 0x0453aee4, 0xa2a165c2, 0xf304e4f7,
+    0x9f0d6bde, 0xb2c9a764, 0xa96ce1a9, 0x4081e7d8, 0x05df957e, 0x8cf2388f, 0x14b067fe, 0xf9c7ac6f,
+    0x8020dede, 0x1ef27c6e, 0x3b960c3d, 0x63815472, 0xb58eb8c4, 0xe171bc61, 0xd35522f0, 0xb983761a,
+    0xfeaa1209, 0x4191d6d7, 0x3f01e332, 0x595d61ec, 0x741bf30c, 0x29d19b2b, 0x3f950ff4, 0x93c77169,
+    0x74f720ac, 0x423df862, 0x6ebbd90a, 0x52b52065, 0xfe1113c8, 0x96c473ad, 0x87a3235c, 0x5c514745,
+    0x43a6c684, 0x80e885e2, 0x858f2912, 0xf2fa8bfe, 0xd2d922ff, 0x45e96e52, 0x4ee40f47, 0x671e4741,
+    0x5260dc6d, 0x73c0d1e0, 0x0d0066d0, 0xfa2d7e78, 0x8720ecf3, 0x99d956a7, 0x3b780d5d, 0x8d4e2732,
+    0xc4bf88c3, 0x6613c475, 0x1f63edfd, 0xb0822d89, 0x83856c20, 0x9bcbc8d9, 0x69c607df, 0x229d236d,
+    0xcce5887b, 0xcbf74bd0, 0x49468c82, 0xba208774, 0x436291cc, 0x03be7dc4, 0xe215e7cd, 0xc6d3befb,
+    0x06cfff59, 0x82783ead, 0x9763b21d, 0x8af30364, 0xb45d3a6d, 0x8afe9a88, 0xf65b55a4, 0xceba05ae,
+    0xc349729e, 0x8ed6e973, 0x9c3080d5, 0x23749f91, 0x30fd5a7f, 0x8d15828e, 0xfb208af2, 0x03224209,
+    0x91fbb8e1, 0x86e3bf40, 0x19e43b1f, 0xf1bebdc6, 0x1e7a8eea, 0xd68c80da, 0xf088f163, 0xbb0be2b2,
+    0xa39f3b4c, 0x05d9eb97, 0x2f7cd27b, 0x1a632f05, 0x03b48e7e, 0x8e418afc, 0x5b56eaf1, 0x052bec0c,
+    0xe0df186b, 0x01eda0ee, 0x3d3704bd, 0xa52a2f9a, 0x6f118ee5, 0xee7d0a37, 0x596b6678, 0x69124d97,
+    0xfedce79a, 0x56a22a9d, 0x561857ca, 0x185ceefc, 0x57094ec0, 0x9dd85eb7, 0xebc5bed2, 0x4dde53b8,
+    0x500d1b6f, 0xa416e1cc, 0x88213163, 0x6965e258, 0x95f32848, 0x0a3ba4eb, 0x88d12d9c, 0x00480cc6,
+    0x8ed6d2ca, 0x4ad908ee, 0xeab8edd8, 0x4e2d41fb, 0x716f8f2b, 0x11f92ca2, 0xa99662ad, 0x3ae68bfb,
+    0x305b4c85, 0x39f66af3, 0xf1f7e5ca, 0x2bedd797, 0xe7c9910b, 0x59a19923, 0xee26cc62, 0xf93c74a5,
+    0x4ff13625, 0xc194f035, 0x74eac791, 0x88f0bfdd, 0x2c23d071, 0x822bfcba, 0xfdf49a25, 0xd8cce714,
+    0x54a6767b, 0xcc2f0059, 0x32c32400, 0xcee54559, 0xd7c26bc6, 0xe56c3d77, 0xc2cbc331, 0x39d14f51,
+    0x0727ff16, 0x46294035, 0x441b6947, 0x0bf29e88, 0x02aa9d07, 0xe50a734a, 0x32a08231, 0x496f8781,
+    0x5b2b7ed9, 0x0d42de5c, 0xc63117cf, 0x6151798d, 0x209a346b, 0x10005644, 0x101289fb, 0x8e7bf154,
+    0xf3e40f0a, 0xb92fcd1d, 0x28fb18f8, 0x68ec5aae, 0x8498477e, 0x521163eb, 0xcc2fab64, 0x78229f7f,
+    0x4581f2d3, 0x46ee48e9, 0xb8e67354, 0xcc3a0932, 0x4ef90a79, 0x4958ad83, 0xec4baeaa, 0x39088a19,
+    0x5ecf0439, 0x434f7243, 0x3ca9c052, 0xd5cc582b, 0xe786aa82, 0x6be35349, 0xafa0475d, 0x5ef8d4bc,
+    0x00d01416, 0x1ba3ba7e, 0x06aeba20, 0xfdb63a4a, 0x7d9f9d15, 0x3dbf8995, 0x7ef91630, 0xf31760d5,
+    0x171f1e42, 0x45e05c33, 0x5620d40e, 0x2b3e88df, 0x27473245, 0x126aa04b, 0xa0be2d03, 0x097cc232,
+    0x1978dc6d, 0x1779ead0, 0x972cc691, 0xab9b413a, 0xde207e94, 0xe775830c, 0x8eb7d17b, 0xe9d6e9e7,
+    0x009e3ea8, 0x5e60fd15, 0xab0e80f2, 0x22671252, 0x59d7e440, 0x5752b26a, 0x9ffc554f, 0x42330072,
+    0x40ae6ca2, 0xa855f62f, 0x6b2bc43a, 0x36c82a2a, 0x45c0d441, 0xd8081f56, 0x777e9472, 0xff46e81e,
+    0xfca4d117, 0xc46241b6, 0xd7d4d1f0, 0x659368d9, 0xd64bf0bb, 0xe7cbc965, 0xb96f2f47, 0xe1bbc483,
+    0xeba6157d, 0xa03ca322, 0x2146aa0b, 0x415d4f8c, 0xc52a1279, 0x7c774eee, 0x84f4153d, 0x37235325,
+    0xa71dcd04, 0xfa605e68, 0xb4c41fc0, 0x578b5243, 0xb7dfc849, 0x30bfee6a, 0x3e3655c5, 0x51dbc564,
+    0x2a846ee2, 0xc709ebcd, 0x7e649f5b, 0x541c4a12, 0x56461d91, 0x6dc3762a, 0x33c02a13, 0xd763da14,
+    0x450319c2, 0x746bed7a, 0x2afc97ed, 0x5134d940, 0xc8c986de, 0x7374d8e8, 0xaca351b1, 0xdb1ced37,
+    0x740e69a4, 0xed84d016, 0xa4f4058c, 0x16db354a, 0x6ee00a14, 0xe926d007, 0x0e4f3d14, 0x73c06095,
+    0xa6165c5a, 0xf19c8211, 0xdab27937, 0x76444ace, 0xb5b012db, 0x2abea5ce, 0x2e2cbb46, 0x492cfadb,
+    0x735a9293, 0xf6544b9a, 0x030501f8, 0x33f44ee8, 0xf0d44c62, 0x30938bad, 0xb41cea5e, 0xd86732d5,
+    0x9f8af2d4, 0x269214e1, 0xe0437e16, 0x74f5aae4, 0xd8288ce3, 0xb7a1be42, 0x24a09413, 0xf500c635,
+    0x3845e715, 0x727156d3, 0x19f80cc4, 0x5296bccb, 0x52cfe744, 0x39093744, 0xb85b9c62, 0x0c400d19,
+    0x9bf65f93, 0x7b4da58d, 0xa3a5ae97, 0x55cc8834, 0x2141df3b, 0x64004b3f, 0x8e03942c, 0xac21e612,
+    0xd58fc90a, 0x395a0b93, 0x85f7eb7d, 0x63d5ecb1, 0x0a227e27, 0xe7a20d77, 0x16e87f5e, 0x2719a3d5,
+    0xddb68837, 0xd2520add, 0xfdb0adb5, 0x931aeea0, 0xcaf72c45, 0x3dee0375, 0x04186350, 0x092ef26c,
+    0x81d89ec1, 0x2860cb94, 0xa05f5b26, 0xa728aa32, 0xb42e1e97, 0x58db0a7b, 0xd57233f1, 0xe9da481a,
+    0x131ec283, 0x5197c85a, 0xbea68ec3, 0x474d6e47, 0x44af5ce3, 0xd6302b88, 0xb883a548, 0xbeda62b4,
+    0xc41a2f9f, 0x3ae939ba, 0x5b96f058, 0xceff664c, 0x527f8d41, 0x4f17cac0, 0x201d1cfc, 0xaeb55419,
+    0xa34a4875, 0xed3ca09e, 0x08e9ee4d, 0x97adfa4e, 0x041efab5, 0x8015ca60, 0x197513cc, 0x7ece3d5b,
+    0x02299217, 0x913252a7, 0x8b3b3633, 0xa52bc765, 0x3b766c9e, 0xfcf978c6, 0x6d8f8bc8, 0x5ced335a,
+    0x4f4ce17d, 0xf5181a9a, 0x8fb8b42a, 0xbf6bca96, 0x5075c365, 0x307d1282, 0xbac72dc7, 0x715fc6e2,
+    0xa3e549c6, 0x922fb7e9, 0x4371e6a9, 0x68ca101e, 0xd6d93586, 0x0e1f19f3, 0x11165734, 0x57aae280,
+    0x162ad2a2, 0x1e14016c, 0x0af73456, 0x64dcc8bf, 0x3f0ffe1f, 0xf270d67f, 0xf514ec8f, 0x8c3afdd5,
+    0xcf877d9a, 0x12d18f9c, 0xadfec35b, 0x7dd31959, 0x2fa64a54, 0x270860cf, 0x115b6bf8, 0x2caf3ae3,
+    0xe7397baa, 0x5dd12af9, 0xaa6aef5c, 0x6bd615f6, 0xd010a380, 0x3ff7af0e, 0x8a49e290, 0xfb936c92,
+    0x00000000,
+    0xd3a65612, 0x46b56601, 0x4236ff53, 0x5e853d79, 0x682a938a, 0x5c18b83b, 0x5e042c45, 0x0f4c5f33,
+    0x2a6fefa3, 0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0x3fffe56c,
+    0x00000000 }, /* 10**-00000063933410310471520898695111266164045941731289961778609169595534533127613\
+                          21102879990006386899074031556935325554936640763689877454191182408307282280448 */
+  { 0x00000000,
+    0x5d811d4e, 0xb43d9e61, 0x89f87c10, 0x10cbb45c, 0x0c5624df, 0x04dfedee, 0x2d7312bb, 0x5b400015,
+    0x49fe8730, 0x24a3ff81, 0x4077fe10, 0xfc8cf6dc, 0x6b089a85, 0xee0321a7, 0x82292e49, 0x2f515efd,
+    0x9b1b545b, 0xd16504ae, 0x9babf8df, 0xb49503c7, 0xc7224b85, 0x2d0ec25f, 0xb564fffa, 0x0c8614f6,
+    0x53f46108, 0x383942a4, 0x4607197c, 0x81f0313b, 0x8405d4d9, 0xd8a9a3b8, 0xcd080cdf, 0x0bb850b2,
+    0xc1f29b1f, 0x6e279f86, 0x6508da28, 0x44080d15, 0xd5b2f661, 0xa19a4ecb, 0xfa62b08d, 0xfe5d6739,
+    0xdf4d486f, 0x75a23fda, 0x437f435b, 0x71d500dd, 0x480eb527, 0x443d47bb, 0xc83c5fc7, 0xc03d2cc3,
+    0xf72a22d7, 0xb4678151, 0xe1e2f214, 0xea521b6c, 0x9f74fadb, 0x84f40796, 0xf5b1c3bd, 0x33b379ea,
+    0xb8226ea9, 0x38386ad9, 0xf9efcd6c, 0x49ffd9d0, 0xe90ab62a, 0x6329bc5e, 0x1b14463d, 0x7719b04c,
+    0x24f3ce8c, 0x9599a896, 0xd9f72954, 0xe72338a2, 0x61fe9898, 0x0fc2db2b, 0xec37c1bd, 0xf2dfbc6f,
+    0xd68d7ff5, 0x79ccb811, 0xd072fe52, 0x6dfaf226, 0x5f317cfe, 0xcf6ec068, 0xe317125f, 0xfae0c75f,
+    0xa6bb211b, 0x5706d45a, 0x30491b60, 0xc8812fd7, 0xfe394b64, 0xfab54182, 0xdf4c5500, 0x2d5760ed,
+    0xaa75ac62, 0x555e7e26, 0xb7c5c4d3, 0x2982fc74, 0x399e40de, 0xb2091450, 0xa36b22ed, 0xb2b91232,
+    0x1bbfab4a, 0x4b60de95, 0xe028d777, 0x9492f604, 0x2f672f3d, 0x02179acf, 0x357f1942, 0xcae006a1,
+    0x12c67524, 0xdf942e55, 0xd73b37b2, 0x5248551e, 0x9ff4ddd7, 0x46f0ae0b, 0x51ab9361, 0xb1fc4746,
+    0xc5ab2dcb, 0x1b28f605, 0x3e51c7e6, 0xd51759d1, 0xde76aeb4, 0x381382c1, 0xd82fc117, 0xe50508d9,
+    0xdb15b358, 0xda908cfe, 0x80f93e48, 0x1c85e2da, 0x1857f3e2, 0x62a97d7e, 0xff3709f3, 0xdf4b550f,
+    0x14514939, 0x359f57a5, 0x00ee0f4a, 0xff98e8c7, 0x58b6a7ca, 0x43731f6a, 0xc08bca7f, 0x6a5177e9,
+    0x38462718, 0x08a551ef, 0x0e95e904, 0x46762b55, 0x15b61b47, 0xe95a2074, 0x59c30c21, 0x69925741,
+    0x69188522, 0x5590fb19, 0xda93f1c3, 0x1295504e, 0x8feb665e, 0x14d3cdf1, 0x2b99c798, 0x0b86cf66,
+    0x66fb90eb, 0x36f6f921, 0x1a9ec935, 0xa92ce107, 0x587c3c49, 0xbf797fef, 0xa03d687c, 0x11396af6,
+    0xba908d61, 0xb600b982, 0xeec12b56, 0x930a34ab, 0xdabc1718, 0xfa05c0af, 0x3beaa4d0, 0x0c2be9fa,
+    0xed35b35d, 0xb68179c8, 0x5ad2301b, 0xdbc39669, 0x4fd2285f, 0xc100df5c, 0x0c13d93c, 0xe6944ed5,
+    0xa9d5ae97, 0xec0f38be, 0x7c051de1, 0x409d5069, 0x52ac00f8, 0x6ab8d79e, 0x6f64adf5, 0x9e09e878,
+    0x2ba5e60f, 0xb0950535, 0x091082a3, 0xebd4e0e4, 0x2bb4f63a, 0x7a839099, 0x686fda48, 0xb7a2e7fa,
+    0xdf2494c2, 0xbae4f18c, 0x29bc27f9, 0xdefb957f, 0x408ad77b, 0x1f2d935e, 0x8a4d4430, 0x6e2959b7,
+    0xe9243fda, 0x5edec473, 0x9beac1ff, 0x2e576e8d, 0x07b6e42c, 0xe825d714, 0x77330eb2, 0xbf8e845a,
+    0x63a38d96, 0x5bf7b8b6, 0xbfe35739, 0x56c0ad1a, 0xe332e8f4, 0x5bf2e7a1, 0x1891590d, 0x4097a415,
+    0x753c6d55, 0x1fa0622d, 0xccee4609, 0xddb12247, 0x78d6d2c1, 0x31b2d9bc, 0x873a4fa0, 0x46fecb54,
+    0x2157abe7, 0xcc922107, 0xc8064d7e, 0x51eee480, 0x872ce622, 0x5d2e6698, 0x68e32759, 0x46f4e023,
+    0x7caa5111, 0x5f9bb23e, 0xddfb0ce2, 0xbf651106, 0x28417c63, 0xeb0f0db2, 0x660b42c6, 0x47fb87f0,
+    0xaaa9daaf, 0xfb5b9795, 0x0989a70b, 0xd36acd78, 0x033e8a54, 0x458477c8, 0x878e4dfd, 0x9981a40a,
+    0x06aa4ced, 0x58edb7b5, 0x58df1ddd, 0x5b1a68a4, 0xb175d8b3, 0xd2131305, 0xbef87e46, 0x37a0d6d0,
+    0xcf2f8084, 0x708aaaef, 0x07bddbce, 0xecced938, 0x37d2a286, 0xf73a0161, 0x1a614a7f, 0xaf3b669e,
+    0xd96eb4a0, 0x565153fe, 0x7eefe5ac, 0x9beb45bd, 0xd2a2406f, 0x53772957, 0x283b44cb, 0xe55af16e,
+    0x26f3a179, 0xb1f2ec24, 0x5929232d, 0xe73f845b, 0xf83b2186, 0x313f71bd, 0xe6662be2, 0xdcfab4c0,
+    0x24bb0ccb, 0x9b648b42, 0xdfce8495, 0x7cdaae0e, 0x2a158591, 0x60bbfab0, 0x9de2628a, 0x643a6c37,
+    0xe1a50313, 0x14e4a5a9, 0x4ca58323, 0x46e369fc, 0xa0988446, 0x84bc1a0e, 0x25a832b3, 0x84d227e8,
+    0x43654058, 0xedb21405, 0x0d264117, 0xd0258bb2, 0xbc5c85a2, 0x6927acac, 0x35a01896, 0xc94c7994,
+    0xd703b194, 0xb14816cc, 0x81e5483b, 0x18b60147, 0x25564b71, 0x3d49cfe9, 0x28612570, 0x538fab52,
+    0x6a6d6992, 0xf94c7986, 0x46df963b, 0xa7e5a4fa, 0xea50b84d, 0xc366bd2e, 0xa84fbd9e, 0x53d04938,
+    0x15f2942c, 0xf7a0e702, 0x6bc6fc31, 0x1d7c8095, 0x5cda9228, 0xc605169d, 0x360367b5, 0xfd413a21,
+    0x9a716f71, 0xb69fe68f, 0x2a65c60f, 0x40215928, 0xaf2db920, 0x0a200bb2, 0xa980043f, 0x8ac7b99b,
+    0x733d8cb0, 0xaad6ce51, 0x6105e877, 0x2eacd253, 0xd7261648, 0xaa865461, 0x8d1b5f51, 0x3530c0c3,
+    0x4eff3bbf, 0xb115ccb6, 0xc4b04eff, 0xdbfef5b2, 0xf0c82859, 0xb5b808ca, 0x270038b7, 0xcd811935,
+    0x6109ce33, 0x3b753561, 0x6227f972, 0xef098d17, 0xf9ab9594, 0x8f25bd7d, 0x3ae2bb99, 0xcf16064d,
+    0x19e5fd62, 0xc49ffdd4, 0xa66fc4bc, 0xa9b37251, 0x77640e11, 0xc4df722d, 0x108577a7, 0xff16953a,
+    0x97925c49, 0x20cc869f, 0xefeee486, 0x0d8e5214, 0xa8473f0b, 0x181e997d, 0xceda871b, 0x46e7dadc,
+    0x6128a423, 0x3a4aea41, 0x99373133, 0x01637471, 0x71d94f43, 0xb0529b2b, 0x54e6dd92, 0x0e569abc,
+    0x8eb37b51, 0xf5ac9acc, 0x61f08f1d, 0xddee9ef3, 0x59e267a8, 0xe946e80b, 0x997a4d7f, 0x9ee738e8,
+    0xe2bd1837, 0xc3150c18, 0x569de776, 0xfe686c21, 0xffd85d64, 0xdfc0ea99, 0x2105141a, 0xe6e4d88a,
+    0x704fbbcb, 0xbc7d830a, 0xec5bd81f, 0x51d5cf6f, 0xce154792, 0x946e6b95, 0xb2ca06b6, 0xf0f797d3,
+    0x40d6e8b5, 0x56dd5bd0, 0x794ead9a, 0x2b599587, 0xf8bc1481, 0x2e030ddb, 0x31ba3c59, 0x063cd392,
+    0x288d780a, 0xa164002e, 0xf200d46c, 0xab0727ed, 0xbb29a30e, 0xd6451be4, 0x46e700d6, 0xc12f6c2f,
+    0xd94abae4, 0x8c1f7256, 0xe206592f, 0xfa9b73c5, 0xb9aadf35, 0x0b928637, 0x60696a20, 0x8588f392,
+    0x204fd667, 0x4289c8c9, 0x25bc1e59, 0x5fe2e5c8, 0x41099cac, 0x45cca5e3, 0x75984c31, 0x26f9dbba,
+    0xb4e77481, 0x850df527, 0x73dc2194, 0x715315fd, 0x97e38df6, 0x2b87bb29, 0x36eb5ded, 0x3299b081,
+    0x5d7621f5, 0x759aceba, 0x8b21e7ca, 0xa09c8c5a, 0x56571720, 0x838eefd4, 0xf33e95ba, 0x0db31a66,
+    0xcf857fab, 0x5bf63953, 0x0c71c08b, 0xe95f41e2, 0xb07f8951, 0x90ff244d, 0xdd0d1c22, 0xb9d74525,
+    0x38fb3f5f, 0x570bb4c4, 0xfc7283c7, 0x669970c6, 0x4ce85898, 0x56ec753f, 0x1360c552, 0x71188ee6,
+    0x199e96b9, 0xf42eb2d0, 0x232d0ce5, 0x224618ad, 0x5b15a25a, 0x07223f84, 0x68e496a2, 0x8a31f3c2,
+    0x2b58ad75, 0x96b15133, 0xaa7fab6a, 0xe3d3fe37, 0x379cc68e, 0x5fc29041, 0xf929942b, 0xc45ca935,
+    0xaf143340, 0x8f8ec1dc, 0x5bff1282, 0xd1baf902, 0x8e0d6fef, 0xd8ed33cd, 0x7b6b7099, 0xb075fa42,
+    0xa0bcd681, 0x17bdad02, 0x7950354e, 0x0b6ea300, 0x8078a896, 0xe21b198e, 0xba356afa, 0xf3c89240,
+    0x5ecea096, 0x31824125, 0xb70064f5, 0xa7ba097e, 0x83f470cf, 0xf87be346, 0x5eec0336, 0xd00116ec,
+    0x0c235823, 0xa7dbb4e2, 0x389f2918, 0x5c197d6e, 0xc72251e7, 0x347feb00, 0xfda3b441, 0xf321105b,
+    0xe7178144, 0x9c608050, 0xb331617e, 0x3feee702, 0xf03e175d, 0x41274881, 0x353f66aa, 0x71c46c29,
+    0x9cb9befb, 0x077a1abd, 0x297292c6, 0x0382e4a2, 0xcbd5928a, 0x7709fe7c, 0xba3b602b, 0x94677cf0,
+    0xda35d492, 0x34f82a79, 0x5b0f7ca6, 0x89c465ec, 0x200f8bab, 0x17f3b5d4, 0x0393cb0c, 0xd0d4e072,
+    0xb3ee0709, 0xe14395a4, 0x30db54f1, 0xee446590, 0x729f3cfe, 0x943b949f, 0x51c0ffc9, 0xa22f28ba,
+    0xbcac8141, 0x03c41725, 0x19823961, 0x10773422, 0x59e408d9, 0xf8504f1d, 0xb13e5f5f, 0x29f34c6a,
+    0x783b40f4, 0x5e654b78, 0x3dd70026, 0xf2cfc7fc, 0xc25b8acc, 0xb2c3bd2e, 0xad282d55, 0xeb7eea0c,
+    0x00d48f3d, 0x549580fa, 0xc01b4f31, 0x361c4c7e, 0xaca5f40d, 0x24d8e987, 0x49fda2b4, 0x1d4ec1d1,
+    0x44657f94, 0x8d848476, 0x574a60f9, 0xf97f47f8, 0x125b5a1f, 0x2da07d58, 0x95e66ac6, 0x95ce29a8,
+    0xe9b347e7, 0xccf3f152, 0x401c885d, 0xd71fa721, 0xb3cba437, 0x180a1a80, 0xb4f250c6, 0xc1cac53d,
+    0xd0fde6fc, 0xb949dce4, 0x7ae1a955, 0xebb1b608, 0xa32c5567, 0x3669538e, 0xbb3889b1, 0x7edea3b0,
+    0xcb186214, 0xd96cc842, 0xea8e036c, 0x6109a644, 0xe27e0394, 0xcee4f3da, 0xc2d01151, 0x9bf130d9,
+    0xffadccd3, 0x5920cccf, 0x09c53e5d, 0xde03704a, 0xc2455392, 0x7fa5812d, 0x7d1c30fe, 0x89938c7b,
+    0x8313a9a3, 0x14bf84bf, 0x85eef1bc, 0x9a69de74, 0xacc8efd3, 0xa176e87c, 0xaa146b77, 0x09e5c02a,
+    0x1d7ab50c, 0x3598a0bc, 0x4c5f00c7, 0x3f684eba, 0x4b43f2aa, 0x83600cf0, 0x7a369dfe, 0x2ea0e870,
+    0x6ac3d02e, 0xb7fb6e11, 0x403a4761, 0x94543ef5, 0x29b3966c, 0x56330ba9, 0xb003a6b1, 0x7dffe37d,
+    0xb3519017, 0x826e519f, 0x51665fae, 0x0ea26f2e, 0xab9a1aa1, 0xc7fd4cc3, 0x6385bb5d, 0x598e2375,
+    0xa16328d0, 0x6274e902, 0x69de8d8a, 0x62f8b7cf, 0x48f7fc40, 0x30d9c87a, 0xe7c03a37, 0x93e28636,
+    0x82346560, 0xd1717e23, 0x545fc9f7, 0x98f6958f, 0x67cbff05, 0x4982c8b9, 0x4f6b0305, 0xe6148682,
+    0x29672653, 0x53f70944, 0x5395d7be, 0xeedd2b64, 0x3c1dc155, 0xa5cd0f0d, 0xcc5f6627, 0xea620bad,
+    0x2cac67c3, 0xddc1ed3d, 0xebbbb0a4, 0xc033e119, 0xda7e7222, 0xd6b2d55c, 0x56b31522, 0x3bf2652c,
+    0x32a3b6e7, 0x95cb556f, 0xb2c3cabb, 0xa2462371, 0xf31016d6, 0x6a4550e8, 0xc4d934b2, 0xcfa0a22f,
+    0x252d03bb, 0x168b2404, 0x88791742, 0xc603b31f, 0x477ad407, 0xb8104a70, 0xab8814f5, 0x10a275d5,
+    0x79012485, 0x78abfe40, 0xd408b8fa, 0x976b51ff, 0x5744c0d2, 0x36382eda, 0xd7adacdf, 0xbfcedd9a,
+    0x05156c20, 0x54e8a15f, 0x1c4f6bc2, 0x486a43eb, 0x0339a05b, 0x92fc3c99, 0x4aa05423, 0x60b88797,
+    0x1158d674, 0xf2ca1878, 0x1410c18e, 0x074e1d2d, 0x3cbbd2ad, 0x14ea4157, 0x7d9e342a, 0xa7e40aa0,
+    0x5091797f, 0xddc80a85, 0xe9c3dcd3, 0x1fa3842d, 0xae1a7b9a, 0x1d73efd5, 0x5394bfc4, 0x2c36986c,
+    0x28a10f68, 0xbfc31ca3, 0x595a0033, 0x9f91b700, 0x2b3d0e46, 0x8057fb7a, 0x63649a52, 0xda392b9e,
+    0x00136534, 0xa8a19838, 0x0973f04f, 0x34a22197, 0xda57f1e0, 0x362f5e37, 0x0ba363da, 0x5c45b356,
+    0x512a0878, 0xb9a9c65d, 0xa23cc9e2, 0x90a3ae16, 0x316fdbc5, 0x257e364d, 0xbf5bab05, 0xed67a695,
+    0x34678049, 0xbc365352, 0xee1fa012, 0x0c8b76c8, 0xa2e416c2, 0xac440308, 0x1a9c911d, 0x0d21a54b,
+    0x540f471f, 0x0b841312, 0x7a348280, 0x416e0cf8, 0xe9f63f1f, 0x41256803, 0xd698e937, 0x86f83877,
+    0xf7f44c50, 0x0dc99955, 0x0d578230, 0xe92033ee, 0x5f2bb8ac, 0x39fcbf9a, 0x3c315b44, 0xc7db1fa6,
+    0xd2f3db20, 0xd3788295, 0x527d548f, 0xe1fc85b4, 0xa85ec5d7, 0x6bc53900, 0x89229cb4, 0x4899cab2,
+    0x430baf6e, 0xfe5ddc32, 0x00388638, 0x94363a81, 0x6f5f0d3e, 0x8ef8ec15, 0x69232d1c, 0x07cd0e1d,
+    0x16ef1af6, 0x3f41f3e5, 0xb6a3f048, 0xf7eb0d7b, 0x09a23bd9, 0xb43d3001, 0x4b32ca04, 0xa9a60d7b,
+    0x4190f4a6, 0x9f50acb2, 0xc31d88fb, 0xf5fafbbd, 0xff98151f, 0xae11767d, 0x460a4429, 0xacdd0294,
+    0x7a77a042, 0x7298d5b5, 0x7441e202, 0x12c66327, 0xe9ed8e80, 0xf5016ea9, 0xf9baca24, 0x8b0e5265,
+    0xa312fcbb, 0x527e4fa6, 0x0d3d763b, 0xbcb5f2d4, 0xe1099737, 0x22430d76, 0xcfcc3197, 0xca75533a,
+    0x73ccec6d, 0x85cb411f, 0x58c0dd15, 0x76d85389, 0x7f853101, 0x6088ab00, 0x9bcd6310, 0x822c0623,
+    0x9150c9e0, 0xf50908bc, 0x8c5124f4, 0xb6a173cd, 0x9d41c39c, 0x628fc4de, 0x160f374b, 0x310979ce,
+    0xfd9a9ae1, 0x2b3ff6d9, 0x222e0917, 0x6a90088f, 0x7f3a7113, 0xb1ea0c50, 0x272519c4, 0x85c61a81,
+    0xec0804cc, 0xafeb3be3, 0xa8198940, 0xc6d7ca17, 0x604171f2, 0x960d4a93, 0xe6d0a741, 0x4038b484,
+    0x4dc0b8e7, 0xdb150d7a, 0x5a0c2cc2, 0xd71e1b13, 0xc45e6f28, 0x81bf67f9, 0xd317b2b0, 0xcf0555dc,
+    0xbb439c79, 0x2e31541b, 0xdcb73f70, 0x7c31719c, 0x55faf4c8, 0x0799d526, 0xee9ffb92, 0xbaea9d1b,
+    0x6a02fab9, 0x64a0df72, 0xecf5f275, 0xe7a4a18a, 0xc8105fcd, 0x284e7e36, 0x832bcaed, 0x09322a1e,
+    0x88ad6504, 0x094bcb90, 0x166ae9e0, 0x25f0421e, 0x585af9c8, 0xe87eec2a, 0x7818a3df, 0x56d1373f,
+    0x3f10d8da, 0x2fa86359, 0x9e6a2d40, 0x2dc7cc16, 0x8cbff775, 0xebcb91f9, 0xfa272d07, 0x2a8e2bf6,
+    0x3b34a475, 0x803687ef, 0x9e53961b, 0xe04fa249, 0x4b7dc872, 0xf4b4ce76, 0x74285ff7, 0xe194b240,
+    0xc84937a9, 0x79b69aa0, 0x2276ab3d, 0x973532b1, 0x1ec188fe, 0xc47c1541, 0xfcb224d2, 0x691ef269,
+    0x4a760bfc, 0x1d6f2908, 0xc37c4771, 0xc0dd044d, 0x87d4984f, 0xaabdfb04, 0xad110a99, 0xc6c29a69,
+    0xcd05c44e, 0xb815a1de, 0x2cd68abb, 0xe095e414, 0x0bc5bfb1, 0x2f869f42, 0xeb79e2eb, 0x76945fcb,
+    0x5aa823d4, 0x8d061219, 0xc6324877, 0xabb7f247, 0xb1f9f825, 0x357697cb, 0xb0f328e9, 0x447297ca,
+    0xe6b96e2b, 0x5c779c9c, 0x38361495, 0xf11a2e95, 0x9e91776c, 0xaed36632, 0x6053c365, 0x08d8cae9,
+    0xc848e865, 0x66e1186c, 0xdd404c1a, 0xf35cec0a, 0x6af4a2e3, 0xc4229406, 0x4277bcae, 0x65f5446e,
+    0x61d67b8f, 0x205d28e7, 0x2ec76e2e, 0x02633aa4, 0xbc0a0e09, 0x7d332162, 0xc663fa6c, 0xf3ff2f7c,
+    0x1fa8a5b9, 0xf207405d, 0x7296055c, 0xe6f39fa8, 0x414c4510, 0xd379dc5e, 0x8acd0d42, 0xfabea2ee,
+    0xcd560a81, 0xe009427f, 0x6916cfa5, 0x304bbd7e, 0x7b2e8f4a, 0x0070a783, 0x37bf5ba5, 0x54b97c2c,
+    0x8483335a, 0xacfdba73, 0x6dea3ac2, 0xd0d26999, 0x5f24ab9d, 0x81e6756f, 0x626f8341, 0x50fafce5,
+    0x7c8dc65e, 0x0ba3b1a4, 0x11e796d0, 0x04951980, 0x746294f8, 0x12b227e8, 0x4857dc74, 0x98b11f66,
+    0x95f893f8, 0xe1806dee, 0x0f448681, 0x5089d34e, 0x2614aaa0, 0xb3b075ba, 0x25aa7410, 0x59a799a8,
+    0x5afa3b50, 0xf081a755, 0x54f30d7b, 0x27ba90c8, 0xf574d254, 0x3177506b, 0x9e47b071, 0xfdc73e7b,
+    0x00000000,
+    0xe9d32b08, 0xa35ab300, 0xa11b7fa9, 0x2f429ebc, 0xb41549c5, 0xae0c5c1d, 0xaf021622, 0x87a62f99,
+    0x9537f7d1, 0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0x3ffff2b6,
+    0x00000000 }, /* 10**-00000031966705155235760449347555633082022970865644980889304584797767266563806\
+                          60551439995003193449537015778467662777468320381844938727095591204153641140224 */
+  { 0x00000000,
+    0x8d684da9, 0x3b3e8aab, 0x00913786, 0x90656fec, 0x7dc0edab, 0x2342a8d6, 0x035337fb, 0xafdc77cc,
+    0xb35f6a58, 0xfcf9e195, 0xf3f68065, 0x3dd12837, 0x79989030, 0x1dedb836, 0xe7f7c372, 0x3097db6e,
+    0x08db56d1, 0x2012c50d, 0x337a1a73, 0xf293418c, 0x1e295787, 0x38ba8662, 0x9dc6505a, 0x4297ed3c,
+    0x1185f25e, 0xa7d41752, 0x73ceb863, 0x9c258ee7, 0xf8a1d52e, 0xcc955dda, 0x02fac0b9, 0x8099ad76,
+    0x56defa7a, 0x483b151d, 0x8adda2a8, 0xcd7a40e2, 0xa56b7ad7, 0x2feaf670, 0x3c9a2352, 0xfaa1c66f,
+    0x61f43b34, 0x1dcf4a73, 0xa4690271, 0x6acfdccb, 0x8adc663d, 0xf969053c, 0x803c4797, 0xb77495aa,
+    0xe7bf932b, 0x6d9e44ba, 0xfc707a1b, 0xff1f088c, 0xd39b10b4, 0x33d13025, 0xac6dd24a, 0xa347b2d1,
+    0x2f810396, 0xdb8ccf8f, 0x91a43af2, 0x64b53be6, 0x4b4f09ee, 0x8653eae8, 0x9ae81b9e, 0x5619b2be,
+    0x508b01f6, 0xba01f4df, 0x49005d88, 0x9431e650, 0x2aaefccc, 0x4675421e, 0x05af07dd, 0xde6cad5f,
+    0x738ee99f, 0x372bfd82, 0x91eb2c24, 0x4e4ae6d4, 0x6e08f3c5, 0x0bd7ad13, 0x190c477d, 0xefd928fa,
+    0xf7b2b3b8, 0xcf8b1d93, 0xdc2efee5, 0x3781d74d, 0xa4bda39d, 0x1b88c6bc, 0x829f6141, 0xe1e85762,
+    0xd2ebc7e1, 0xc6ae5fdf, 0x0b28ea81, 0x2fc4aed5, 0x94d08fee, 0x3cff4215, 0xac65ae0d, 0x8e5f212b,
+    0x24578e38, 0xf3626257, 0xa371c3fe, 0xea50e808, 0xd5da32a0, 0x35982071, 0x3d1e8fd8, 0xbaf04ff0,
+    0xf71d2c26, 0xed742945, 0x7fa6ae56, 0x04dd02ae, 0xf5c0f1d2, 0xa3cb2aef, 0x9971aefa, 0xf3b4d62a,
+    0x58925be0, 0x0454bf8b, 0xfc3aadf5, 0x787001f6, 0x17fa48b3, 0x21f5dbf1, 0xf0016f75, 0x10606dc1,
+    0x305b549c, 0xa4c285f8, 0x9f02f152, 0x0b741ff2, 0xdc5edad8, 0x204ca7c0, 0x87b1b5bb, 0xda656e28,
+    0xa4e64473, 0x03229ae5, 0x0d2cd6ce, 0x817e858e, 0xb6970c44, 0x7021c2b7, 0x1e6b5292, 0x710abadb,
+    0x1d8a69de, 0xd5264d56, 0x68559634, 0xbc94f213, 0x1ad538d3, 0x64425e2b, 0x006e8a7e, 0xa2c57c92,
+    0xce5b4ff6, 0x33b415ba, 0x40166f1c, 0x96a6625f, 0xb950a312, 0x3eb956d5, 0x62434979, 0xdb47674d,
+    0x37633acd, 0x2c6a713f, 0x30611e6a, 0xda6cca24, 0x9ce1f8e5, 0xf20f1c7f, 0x8390c264, 0x429c0981,
+    0xeaceb04e, 0xbf690deb, 0x10c9e413, 0xf9575668, 0x774bdd20, 0x4963c44a, 0xdfe539d6, 0x58b674ab,
+    0x8c1b6fc6, 0x98b4f2bc, 0x178d918a, 0xff2bc912, 0x6992c396, 0x788f870a, 0x1316f0fb, 0x027b137c,
+    0xd9641f0b, 0x0d8bd3c1, 0xa6520de7, 0xdaf23e36, 0xeed1a05a, 0xcf7b03ca, 0x90d72765, 0xd2249dba,
+    0x4d39fb6a, 0xdaf0ffeb, 0xd7835e3a, 0x5eebce49, 0xc700e98a, 0x80ac000c, 0x841783d3, 0xc6839d2a,
+    0x538a3730, 0x29bc8359, 0x99a204f2, 0x38aa58c2, 0x133ca55e, 0xc0f8fdb6, 0xcde55f51, 0xe8e90d56,
+    0x01e61eb8, 0xf64f893a, 0xef849d99, 0x70c359c0, 0xf7195aeb, 0xb4bcaac5, 0x0b3f9647, 0xbd12745c,
+    0xe2b1a44f, 0x4429f613, 0xe8b44096, 0x685d5c57, 0xefee6e4b, 0xefe97aab, 0x598844a2, 0xaacfcae2,
+    0x492eeb6c, 0x37d2a0f3, 0xf811259e, 0x3180b57e, 0xab94c563, 0x2b13a8f0, 0xb89d0f98, 0x7324cb37,
+    0x2bb9c607, 0xc9919dac, 0xd117f370, 0xbd298c2c, 0x8fe041ee, 0xbd9fc95d, 0x9cdf4157, 0xf1d2e915,
+    0x4ff7ae2a, 0x30bd0209, 0x0ee5ca5b, 0x987cf281, 0x607f72d0, 0x5577acf1, 0xce413f6c, 0x28227636,
+    0x93d4d7e5, 0x1df68e96, 0x58584f32, 0x2a67f439, 0x7927bf8d, 0x3422e17f, 0xbe9372a9, 0xa8e74c87,
+    0x0bea53cb, 0x87a6ea81, 0xd1c5e4d9, 0xc7aeabfe, 0xaa622c36, 0x61e2d675, 0x4a03632e, 0xe0e69406,
+    0x4207ac82, 0x9ff6e348, 0x368a7e64, 0x2de4ba2a, 0xd2184426, 0x8b6d227a, 0x320084c1, 0x8ae6e5bb,
+    0x6386def3, 0x53a4ec57, 0xec611f25, 0xb115ac88, 0xff4bbfef, 0x42e7ce68, 0x721c3c96, 0x4df6f58b,
+    0x1b9ee943, 0x08dc1c64, 0xa2af4d63, 0xa18256b2, 0x65e03e0c, 0x784dd1f3, 0x4df62107, 0x98d055e2,
+    0x477f4894, 0xc0cdcc1f, 0xaeaa553c, 0xaa6288e6, 0x37fe1d73, 0x38a36074, 0x04a4b28d, 0xee859695,
+    0x4dd9fdc2, 0x8b33c617, 0xf303f5f4, 0x1f2f47a6, 0x292f9045, 0x5870a3ee, 0x7fa1c316, 0xef4c056c,
+    0xa762a61e, 0x35bb43a3, 0x7e61e4d9, 0x0d8c58e8, 0x89de0c1c, 0x63718a4d, 0x5c9802ea, 0xb2139582,
+    0xc4ade58b, 0xeddc9d48, 0xda1fb052, 0x2ac661d0, 0x9c10f0ea, 0xb169d970, 0x2cce0ef0, 0x6b417db1,
+    0x6a98a886, 0x387dd915, 0xbf881d61, 0x732221ce, 0x495d8ac6, 0x4914324c, 0xa7d4ff9a, 0xad1a8fff,
+    0xcaf06c51, 0x7816bb3e, 0xff2740c5, 0xf2f75b20, 0x1a8b93f9, 0x351d66e9, 0xd1879a04, 0x0e0e3d42,
+    0x46fc0da4, 0x102e4649, 0x3a4a9a38, 0xb0c7490a, 0xb120a05c, 0xc73f6f82, 0xa4b3d142, 0xcdb723f9,
+    0xa107e5f0, 0x31c8fa9b, 0x95297ea2, 0xc6197cfd, 0xecb3a555, 0x6cd62490, 0x1209fec4, 0xdefa8ac7,
+    0xbce0b51d, 0xc88d5117, 0x26b3604d, 0x50d720be, 0x85052a40, 0xad3d9d68, 0xa3aa154e, 0xc1715f55,
+    0x4e55b0ee, 0xb485031a, 0x0647bac8, 0x5354d1d4, 0x5674ec93, 0x6165a7b9, 0xb46aa59c, 0x8c2783e5,
+    0x1482d33d, 0x7986c30f, 0x838ab768, 0x64f598ec, 0x2aaba8f6, 0x5e0dd897, 0x00f69931, 0x088eab01,
+    0x8a07fb42, 0xca7aaa3a, 0xf4509c07, 0x8ef66fc0, 0x77d0ba98, 0xdce8deb6, 0xcdbc6827, 0x550a6278,
+    0xc77ec5c2, 0x915d70eb, 0xc21901de, 0x45d870d0, 0x72e1ee1a, 0x07e71c6e, 0x55dd3348, 0xe576e325,
+    0x787ba017, 0xee3e7ff0, 0x081a0c22, 0x898ee482, 0x50f0e074, 0x9f7db7df, 0xb7eb566a, 0x55b4a84e,
+    0xa911409b, 0xd4e78080, 0xc981be20, 0xfe8396ca, 0xdbc36c7d, 0x843200b5, 0xcbff6e83, 0x9e9a30d1,
+    0xdf60d485, 0xc7a401c5, 0x72333497, 0x1eec647e, 0xc8687c57, 0xa68e7fd6, 0xaa4ce7cc, 0x0d540857,
+    0xb1531e3c, 0x7be6783c, 0x973174d8, 0xd3ff34a7, 0xb96c0251, 0x1fced4d0, 0x3c4349ee, 0x6a8b9064,
+    0x5937a062, 0xa5646c8e, 0x173c6942, 0x499186c8, 0xb0bf3539, 0xb7aa076e, 0x347d7a16, 0x515ba7e6,
+    0x032ed8bc, 0xb39ecc09, 0x2262dc2f, 0xafe2026a, 0x35b29b55, 0x630c9a38, 0x9c804ec0, 0xd8b67c40,
+    0xc6bc726f, 0xc66e843a, 0x80cd1093, 0x4a486478, 0xa3d43751, 0x04addeec, 0x991c1981, 0xa7247a7a,
+    0x75f2e049, 0x1822a41a, 0x9ab5aa72, 0x4d305b13, 0x6b3a242a, 0xbb09d74e, 0xaf4bba70, 0xb51d1933,
+    0xa486478b, 0x566ad8e2, 0x57f50015, 0xfb435f1f, 0xe609965c, 0x0c19c035, 0x8522a01b, 0x35923bbe,
+    0x9b3dece9, 0x4fba4a13, 0xa4d4accf, 0x66cf3945, 0x1d492e61, 0x80d6d32e, 0xfe2abd0a, 0xdd19152c,
+    0x7f3c10e7, 0xed135c4c, 0x64878f40, 0x35ac810e, 0x9e6732a8, 0xd848e666, 0x3b9eff08, 0xc216fe2a,
+    0xb4c86e45, 0x38d37dd0, 0x84195371, 0x83a58087, 0x576ca6fa, 0xb884fca2, 0xcb5c3bdd, 0x87a274d3,
+    0x6a7d398d, 0x96796d4e, 0x3991f6cc, 0xf81c7780, 0x897a8fb3, 0x05e58f4c, 0x00321ac4, 0x5c65b926,
+    0x628c5245, 0x41663f6e, 0xe8742688, 0xf2c102e3, 0x6189668d, 0x3b036bf6, 0xf669d634, 0xb904d83f,
+    0x89f766ab, 0x16608b02, 0x850eab69, 0xa3e4c336, 0x2fe6e53f, 0x2c4526e3, 0x570966f4, 0x19598281,
+    0x18c0658b, 0x84c2d369, 0xac1021f6, 0x460fade9, 0x67e8d859, 0x2c316f7b, 0x75521d1f, 0x4b624ac6,
+    0x952b4df4, 0x4b384114, 0x618fc01d, 0x98a69898, 0x460e3b8d, 0xe43747b2, 0xb2e64dac, 0xc93bae86,
+    0xa4b80c42, 0x8791d5f2, 0x3e2b6fd2, 0x4c3a1147, 0x7687d2cd, 0x63ae8ef1, 0x6860e7c0, 0x8fc19abe,
+    0x00e3028e, 0x1fb165dd, 0x84172899, 0xf52bf61d, 0x5536ca7d, 0x1b0791d9, 0xe8a610a7, 0x87e1f7b5,
+    0xd6d5b74e, 0x85cce81f, 0x6a8ffe7d, 0x5e57fc55, 0xbadd6d4f, 0xa435bf22, 0x45937a69, 0x1644342d,
+    0xabdf1b50, 0x8f6b255a, 0x84ff7c2e, 0xc8ede06d, 0xf83bbd60, 0xbc28243c, 0xcf8e7194, 0xa6e05dd3,
+    0x3b037d46, 0x73f1b3f9, 0xb92fc6ab, 0xe45f08be, 0x45db5a31, 0x86674c5a, 0x702197fa, 0xf3dd7c41,
+    0x392aca69, 0x16d0fec9, 0x91ebde0b, 0xde5ba37a, 0x7d15aef0, 0x9b8ff124, 0x095288f4, 0xe0cf2689,
+    0x23fc77bc, 0x1ec65d63, 0x342b0c6a, 0xbad84c3e, 0x0a67c90a, 0xa3745863, 0xa95b5d2d, 0x3dc6e060,
+    0xd7cbaaa5, 0x8131a596, 0xffa3d4e1, 0xa6cfa17c, 0xf4aafc8d, 0x5ab67abc, 0xb21a3458, 0x84141f2d,
+    0xadbab2ea, 0x3838ff7a, 0xb6f21acf, 0xc8bbf47d, 0x0ce2bc0f, 0x0d8fa305, 0x1fc40dfb, 0xcd63e462,
+    0x96df87ab, 0xa68833e2, 0x9a2d5e95, 0x51984158, 0xacf930cd, 0x75334bc1, 0x90a12f6a, 0xc54ed6a3,
+    0xa9ec50c7, 0x47aaabbe, 0x135a3d33, 0x25d5f13b, 0x895d62d7, 0xdadefb14, 0x94121750, 0x6cc0025b,
+    0x2fd75137, 0x01e09a02, 0xb779e7af, 0x23078a65, 0xa1e9e829, 0x8d91ef10, 0x706d02a0, 0x074708af,
+    0x2ef6aaec, 0xb648ea89, 0x0b4c647a, 0x0da245b0, 0x767fe479, 0xd55d347e, 0x3669a76a, 0xaa371ca9,
+    0x3d513bc9, 0xe862dc77, 0x2d97ee06, 0x5006fbb0, 0xe82ebe03, 0xe32de839, 0x77a21c2e, 0xe27d0caf,
+    0xf98f0edf, 0x8df91472, 0x1d80b518, 0x63c878aa, 0xb83bf00d, 0xfe8562c8, 0x587087f4, 0xeeaab635,
+    0x90b4d304, 0x59532eea, 0x5ba01ef4, 0xa8ee4257, 0xa04c1278, 0xd2a69e0e, 0x18fd424b, 0xddeef380,
+    0x4652a8bb, 0xeb35621f, 0x5fc18173, 0x46e31a21, 0x8c7ecfab, 0x5a2f0f39, 0x0db5149f, 0x195cb055,
+    0xd7bafadd, 0x322d2e62, 0x8b91a7c5, 0x93a5ccd5, 0x62bd2acb, 0x274d94de, 0x3167aa88, 0xffc96d40,
+    0xdcec4c0e, 0xf3e82b72, 0xfc766589, 0x29ea2a2e, 0x7c96d922, 0x8821f140, 0x07d9edd8, 0x57a96b09,
+    0xb4e8d239, 0x02314872, 0xc2673c42, 0x0258fb8b, 0x54fb0924, 0xbacafb86, 0x8590ed03, 0xa456e41b,
+    0xdcb44c57, 0x474b740c, 0xa6bc5399, 0x1d122f5d, 0x9a61cd87, 0xbe04397d, 0x4550270c, 0x106f70a2,
+    0x641e41d5, 0xbeb06438, 0xa5dd8605, 0x0dda6abb, 0x833d8a7e, 0x662e41fc, 0xca0df6db, 0xc67dc39b,
+    0x97bbccaf, 0xc86f3dea, 0xb10dd5bb, 0x1cf6f134, 0x53ba4966, 0x88bb4b7f, 0x0d055bd1, 0xf20bb664,
+    0xcaf0803c, 0x13eadd37, 0x475b102c, 0x3fd2d69b, 0x1af151c2, 0x617fb9da, 0x12c56ebf, 0x91de9629,
+    0x12fa1020, 0x971b63bc, 0x344e2684, 0xee3d20f5, 0xc5e6cd7c, 0x7134c04b, 0x23f33b85, 0xd34c9522,
+    0x3121d87b, 0x80f9318a, 0x0e74224c, 0x715ff719, 0x98d73630, 0x2cb0d7d3, 0x879d10af, 0x88b47f68,
+    0x46b42b7d, 0x67cfc324, 0xb5892933, 0x5e8351f2, 0x3f7fc9b2, 0xf931f4d2, 0xb89ae667, 0x89e4649e,
+    0xb0c6388c, 0xa2979341, 0x00ea8512, 0x52f16958, 0x88dad34a, 0x2c1bef53, 0xf9387444, 0x37faa747,
+    0x1bc43874, 0xe1974901, 0xc3f38ea6, 0x93fefbab, 0xc594ebd2, 0xd54f4e10, 0x3e356cb5, 0x3d340890,
+    0xd8c919b6, 0x3f29d368, 0xec27628d, 0xa3cc81e0, 0xab4dea34, 0xf88fee89, 0x879ff6cb, 0x2f2ecd9b,
+    0xcbe224ec, 0x1758e05d, 0x3e919fe0, 0x0edbf18c, 0xa6064657, 0x83f9106f, 0xd1df81f8, 0xb811a73f,
+    0xba174ecc, 0xa027e747, 0x02b3a45a, 0x79d158b6, 0xcdf54cbf, 0x8cacb843, 0x088efbc0, 0xd443f9c9,
+    0x7b1cca49, 0xa09e2540, 0x93e05306, 0x7d453485, 0x4277b7a0, 0x0d31a918, 0x9c6faf4e, 0x78ddf524,
+    0xf2162a69, 0xb3c78fec, 0x175d9e7a, 0x0c540e2a, 0x1015f073, 0x478528fa, 0x75e7e050, 0x8a7d9229,
+    0xc9539427, 0x0d1c5f61, 0x0a26f117, 0x1089c762, 0x62212d90, 0xf07ca733, 0x14b0cbb4, 0xfb22b0b1,
+    0xda548ecb, 0x5199811f, 0x600fc2c9, 0x02396fb4, 0x2de8d36e, 0xabefd381, 0x70487ea6, 0xf0869c4a,
+    0x6967ff7d, 0xd6fe2265, 0x99840cc1, 0x205d198c, 0x30dfb54e, 0xc773d35a, 0x1a385df1, 0x8c621f22,
+    0x895116b0, 0x25855fe2, 0x08aeb965, 0x4223b3c9, 0xbf5dd7ee, 0xef1bec3a, 0xf5488852, 0x9185b718,
+    0x37d2e6ef, 0x7179b13a, 0x641d2f9b, 0xeee98fb4, 0x4182fd46, 0x228d71bf, 0xe902e05c, 0x3cd02554,
+    0x6500c0b6, 0x9d93a849, 0xc123721d, 0x19acde00, 0xf659da30, 0xb40c6d58, 0x824bff07, 0x45ce8aaf,
+    0x43df95fe, 0x6352b2d2, 0x8f33e075, 0xd77673fe, 0x99bb363c, 0x6bad0241, 0x5411bdc1, 0xc211a7aa,
+    0xe26ea22c, 0x7f696ec7, 0xc86e81f9, 0xeac55d31, 0xcd63b2eb, 0xba70b3da, 0x370132be, 0xc4d57554,
+    0x4ecb8ad8, 0x8ddc34d0, 0x2293586e, 0xe96e9e94, 0x8e43d3f8, 0x7cd1f9cf, 0xcff7a1c3, 0x1e82d8fe,
+    0x698acda8, 0x2219eede, 0xc1d1d427, 0x2ac29b9a, 0x60d21203, 0xb9e17294, 0x49400db3, 0xe1c6492c,
+    0x81690308, 0xbe764037, 0x50944620, 0x4d070c0e, 0x54c4a4fb, 0x07f903b4, 0xf554a52f, 0x1c942c3e,
+    0x76273fc5, 0x6f61b427, 0x14521a85, 0xafa82d3d, 0xf20c7ea4, 0xe902dbbf, 0x26067163, 0xf3a929f5,
+    0xdbb58cea, 0xc0ea30df, 0x57e0d402, 0x7dffc5cc, 0x3645818f, 0x04e437c1, 0x0508b336, 0x21781bba,
+    0xc6f4d4b4, 0x260fcfe3, 0xab3294e4, 0xb1fe2f95, 0x39be012a, 0x14a195d3, 0xbf47e02a, 0x70711d72,
+    0x4dc97903, 0x2056e875, 0x7e89fe46, 0x6b9d7124, 0xe1025b7b, 0x8623a938, 0xf6e004c5, 0xa07731c1,
+    0xc7d2dcb8, 0xfba915ec, 0xe786568d, 0xf7fb8704, 0xa03b31ae, 0x840c2bef, 0x35d20425, 0x15ede6b2,
+    0x585d71c7, 0x1e9da475, 0xa84deee2, 0x1d382793, 0x69cec811, 0x1635cc4d, 0xa08bc18a, 0x6c1b9f5a,
+    0xe78e0340, 0xf2d06a16, 0x74e395d8, 0x7034aa9e, 0x7c2a4d37, 0x895c1c10, 0x199d11b3, 0x8303165a,
+    0xf6b69afc, 0x08b36189, 0xe5f3047f, 0xddf02160, 0xe3b23d74, 0xe3ca8590, 0x220e2522, 0x3791db14,
+    0x149329da, 0xd2b1395f, 0x0dad0239, 0x5603ce88, 0xdb6d8221, 0x80803baf, 0x24404980, 0x5337169d,
+    0xe07da816, 0x5e2acbb3, 0x0cbeb1bc, 0xbc412d03, 0xabfbf722, 0xb1dcf591, 0x29cf2677, 0x8ca66f07,
+    0xf51349bb, 0xb1656f91, 0x272b1fc6, 0xaa132170, 0xe7274960, 0x4f0b0fab, 0xb380dc4c, 0xf36d5e21,
+    0xf6eb7712, 0xf699567d, 0x946260f8, 0x7c9c5fa8, 0x74ccc9be, 0xc46802b4, 0x3f39809e, 0x064e6ae9,
+    0xe570dac8, 0xc676c022, 0xde7d5ab7, 0xff7dcbd8, 0x2034cdf8, 0x8c4745c6, 0xe3d81353, 0x33090243,
+    0x5892dbb1, 0x301692b6, 0xa2782514, 0x766abe94, 0x905a9699, 0x21e28af8, 0xa3e02a32, 0x0bec62d8,
+    0x369e2ad1, 0xbe655cd2, 0x3c457d17, 0x028813c2, 0xe305db3a, 0x9732723c, 0xb920323e, 0xa06fdb8b,
+    0x0a006250, 0xea0dcb21, 0x9596972d, 0x078ba017, 0x011590cb, 0x4e828d39, 0xfa8f9bca, 0xfee30099,
+    0x00000000,
+    0x74e99583, 0xd1ad5980, 0x508dbfd4, 0x97a14f5e, 0xda0aa4e2, 0x57062e0e, 0xd7810b11, 0xc3d317cc,
+    0x4a9bfbe8, 0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0x3ffff95b,
+    0x00000000 }, /* 10**-00000015983352577617880224673777816541011485432822490444652292398883633281903\
+                          30275719997501596724768507889233831388734160190922469363547795602076820570112 */
+  { 0x00000000,
+    0xd1b3cc60, 0x74fdc554, 0x1f06949d, 0x67af6749, 0xdb055267, 0xf168557d, 0x7a3d4fbb, 0x812d592b,
+    0x0c98dd0f, 0x1fc35f7e, 0xfca546d3, 0x326b0862, 0xda06460c, 0x8f643392, 0x5f1cff5e, 0x41660fad,
+    0xbfee086d, 0xcc10175c, 0xce424f91, 0xfe93a80b, 0xcd5dd0aa, 0x44ded688, 0xb4fb7a43, 0x631fd001,
+    0x94074166, 0xe621e8c8, 0x9a828fee, 0x58b04d7a, 0xbf5d82ad, 0x3a9d7e4a, 0xd0ed17a6, 0x364985d6,
+    0x68567aa0, 0x92710049, 0xedf095bc, 0xa6b735c9, 0xf263412c, 0xde20dd36, 0xa3851964, 0xcbb902cd,
+    0x0c0cb20c, 0x51c9337a, 0x316aa8c8, 0x4d41f3e2, 0x448b74e1, 0xaffd31f5, 0xbfd26f7a, 0xdd6c7e81,
+    0xf53f8d51, 0xdfa2afcc, 0x7862e64a, 0x720d5148, 0x93882848, 0xae3d3163, 0xc2248fb5, 0x3322a9ad,
+    0xf19f2e0a, 0x72661f65, 0x521c5131, 0xd91a0a98, 0xe5e9c752, 0x25195431, 0x6a232c29, 0xfadf3a82,
+    0xbddca3bd, 0xe13b48ec, 0x09ebdd6e, 0xf809b0a7, 0x95c4014f, 0xaaf24835, 0x7fa99bd1, 0x0a77c560,
+    0x2532561b, 0x839a0ab6, 0xb7da4ca0, 0x6e34cbed, 0xea3dcb7f, 0x808b1479, 0x2cd1da54, 0x967a9c57,
+    0x5d41ef10, 0xb44a250e, 0x7bdd857b, 0xa6fed445, 0xa65571be, 0xb904a328, 0xbdcbeeca, 0x39d0c3fa,
+    0xcda62677, 0x671838d8, 0x6cd70148, 0xc996b9e4, 0x0ead5e62, 0x56e67310, 0x571afd39, 0xc0769828,
+    0x847f00b0, 0x873905a7, 0x398a8b92, 0xf83c8cc8, 0x0d0a9457, 0x5867e2b7, 0xb7d61277, 0x0728d4e5,
+    0xdb54b488, 0xf6f91eac, 0xe7691555, 0x65ca2a5f, 0x72005977, 0x96e5387b, 0xe9601078, 0xbc5e2fcd,
+    0xa6e52242, 0x56208731, 0x579ba84e, 0xb919db94, 0xc5202a28, 0xbd197ec9, 0x3dc6c617, 0x2ae8f60e,
+    0xdce1a773, 0x1d78f1af, 0x850438a7, 0x2c6eccaf, 0xa584201c, 0xf8044b54, 0x8a328f58, 0x3f6aea1f,
+    0xa20ac81f, 0x68bafef5, 0x0cd86e09, 0xde42fd10, 0xd0806376, 0xc3c0ae47, 0x56442021, 0x96a29b49,
+    0xea7f76c9, 0x0e849000, 0x5f83a6d2, 0xcdce0820, 0xf1c00b0b, 0xeb0fe53f, 0x7827c539, 0x7d7b13f3,
+    0xabf1de6d, 0xff957dcd, 0x55d9a85e, 0x73506f2a, 0x5fae53b5, 0x509a2e4b, 0xdb50c5cb, 0x98f596e8,
+    0xa861f9ea, 0xd6c0c9e3, 0x92d10475, 0xf926c3c7, 0x58785410, 0x4ae9e27c, 0xd5b8bb68, 0x5e6ae69a,
+    0xa09f30e9, 0x6dea9274, 0xc3054820, 0xfc7d9ae9, 0x928c6a06, 0xd24286c9, 0xb93393b1, 0xef060df8,
+    0x93353cf1, 0x4c410903, 0x8e81dd78, 0x0a40ea19, 0xe882e9b1, 0x999146fe, 0x7133846c, 0x20893c41,
+    0x984432c5, 0x087a8317, 0x656e3ca6, 0x00075070, 0x3d01435a, 0x92151844, 0xe31e0953, 0xb868c23a,
+    0x5d23dfc9, 0xd631eca1, 0x855f4552, 0xf99a0187, 0x5c819522, 0x4706b01c, 0x9ccd793b, 0xb1e2e031,
+    0x8035d956, 0x937c4f08, 0xe329b00a, 0x6c68e32d, 0x36a3173f, 0x170165a9, 0xe99238fa, 0x3d37a837,
+    0x5562780a, 0x4d2c9c88, 0x88441b6e, 0xce6a0696, 0xf998babb, 0x3c1927e4, 0x2e0d062f, 0x6a2afd93,
+    0x07d62c25, 0x4543f0cc, 0x6eabcb83, 0x12e16c28, 0xbf827b0a, 0xed0fd86e, 0x4e605f7c, 0xab15970e,
+    0x0ceaace7, 0x97337d49, 0x24540195, 0x0cfd8eff, 0xc2293f64, 0xe69f148a, 0xb4a84db2, 0x649f0058,
+    0xb5fb3328, 0x93c4d2be, 0xd2c4b7b1, 0x1e937d5a, 0x56577982, 0x22d2c832, 0xc44829d4, 0x13708388,
+    0xd4e51912, 0x444e9199, 0x8e35f9bb, 0x7b0f104c, 0xc87032a9, 0x72b61791, 0xb756053e, 0x1289b544,
+    0xa879e45d, 0xe5888191, 0x378bee82, 0xf718370a, 0xb3b318fb, 0xb07ca313, 0x5dc96203, 0x638f5125,
+    0x4af8a783, 0xa23c61c6, 0x66be1358, 0x8dbd532f, 0x1bbd39bd, 0x9c41cc04, 0x34459027, 0x99ec5f81,
+    0x31fbea53, 0xbbbec090, 0x3a3e3c06, 0xfbf80c82, 0x929a6ca7, 0x77e49266, 0xf37c17f1, 0x757b25f9,
+    0x5d55c1c4, 0xfa475549, 0xafc8164e, 0x64cc0c0a, 0xdcd6d783, 0x6b5f4609, 0xd8845a26, 0xf90e7c62,
+    0x68b07850, 0x5547f2df, 0xfb62e687, 0x851f1688, 0x312b170f, 0xb77d5e4b, 0xc8b66faf, 0x2e959727,
+    0x5871e4d2, 0xff87ef48, 0xe78602b0, 0xb919ed12, 0xf34004c1, 0xd93efb18, 0x22f9595d, 0x48b6ca75,
+    0xf94a840c, 0xf8ac4745, 0x423e3d25, 0xacb20466, 0x239b2065, 0x9bad8639, 0x2025d4a5, 0xd42a73f3,
+    0xfd9bfb12, 0x0d42b672, 0x62b5e2a2, 0xbdf6c874, 0xcf3f3f3c, 0xc006f39f, 0xe216d0b8, 0x9eb4508f,
+    0xba153802, 0x81f3cf7b, 0xb8482851, 0x2bc996b7, 0x83e7e156, 0x0be11add, 0x678c864c, 0x262a62d9,
+    0xb7aa7f38, 0x8f18791b, 0xb5a8b709, 0xbaeaa711, 0xac58beb3, 0xe2982679, 0x2fa9b943, 0x8b69622e,
+    0x288979e0, 0x5a964c6b, 0x5c1c5651, 0xbbf009ad, 0x7f367cdb, 0xa83250ba, 0x2b1bb470, 0x2720ca45,
+    0x93067d5e, 0x92aafdee, 0x3fb15ae2, 0xaec96425, 0x5cf9e21b, 0x65f1f4d0, 0xb60bee6c, 0x760ff325,
+    0x3e7db2a7, 0x826fb054, 0x52fe2aa7, 0x56c4c246, 0xd7d4fc3a, 0x28394a92, 0xe75cb05d, 0x7fda3ab6,
+    0xd75a4c6e, 0x0c89b87d, 0x9f7b1c81, 0x95aec023, 0x23152d5c, 0xf1b7ed0b, 0xc4e41a32, 0xe66c973d,
+    0xffe1af0b, 0xbb8d7978, 0xdcaeeaf4, 0x716ec66f, 0x8a6c773c, 0xc9de6a25, 0x50fc85f2, 0xc1702ac3,
+    0x6e354d0a, 0x5a5a0e30, 0xd17a5834, 0xb471f7a5, 0x18862778, 0x7760c155, 0x93285c05, 0xaa3b8a2f,
+    0xfd891f80, 0x56ff626f, 0xf9361f4e, 0x594648bb, 0x894dc4a9, 0xfeb64702, 0x95c2510a, 0x48caad74,
+    0xda4a5d14, 0x9e040e3d, 0x9b4e3d0f, 0x02c973d9, 0x17d7b04a, 0x06e1b4a2, 0xde885623, 0xcc6aed15,
+    0x405b2821, 0x254e66d4, 0x9fd0e373, 0xaa3d8229, 0x2ae172ad, 0x26c87ab1, 0x74a3fc60, 0xeb549dab,
+    0x378fbad4, 0xcae6b350, 0x60e534ed, 0xca891d4f, 0x0e137280, 0x91a1ef7e, 0x986ad2da, 0xcf3d1f2c,
+    0x05ea20e0, 0x64d2213c, 0x6cb70dd9, 0xc0314c82, 0xa8e748f3, 0x4438ba73, 0x7df08134, 0xe3a69d01,
+    0xf2e6241a, 0x68ccf1c2, 0x68f5663d, 0x3a1f07fd, 0xe4157722, 0x4d93b77c, 0x520ee1f6, 0xd9171bc0,
+    0x56ef97ca, 0xefa2b168, 0xecc62c8f, 0x18c91e55, 0x652dd6fb, 0x42fa2ac5, 0xff193d7c, 0x7b2f3acf,
+    0x877d2bcd, 0x7cbdd2ae, 0xe43f3dfa, 0x0f5e3b26, 0x87f9c98e, 0x9ab92037, 0xc83e24d5, 0x9339b259,
+    0x0bbad717, 0xc8149dc2, 0x7ae9e670, 0xa53009ca, 0x918030b7, 0xc80206d1, 0x3a43ab24, 0xba158c8b,
+    0x122efdc2, 0x2cc04840, 0xe3b75c2b, 0x410de639, 0x080b2112, 0x29d72304, 0xbaf5d96c, 0x291dc97b,
+    0x25388922, 0x090ad456, 0x7db46526, 0x40016c5d, 0x85eaa4b6, 0x897470b7, 0xec24fe0a, 0x3f3a8f86,
+    0xca24c91b, 0x4f5bdc21, 0xa8a815c0, 0x20f3a3f8, 0xa4ac2da2, 0x6673ba0a, 0x7e866de5, 0x182915c1,
+    0x628fb35f, 0x7ad0b01c, 0x30821bec, 0x3f91301f, 0x67c9ec78, 0x896bb42d, 0x8f9f2bda, 0xbaf79c12,
+    0xe449460d, 0x9ae47cb0, 0x33062c4d, 0x043c141a, 0x9f4c5b24, 0x94ed98eb, 0xed484e68, 0xfd9fdb4c,
+    0x7538558d, 0x597e1be8, 0x771b34a1, 0x12c18cff, 0x86dfc44e, 0x573f1cd0, 0xbc4d4057, 0x8dce05bc,
+    0x5bddae13, 0xd59e76e6, 0xf0e36a6e, 0x0c5e85d5, 0xd69bdcc8, 0x70f3ad0a, 0xcebc0c6f, 0x069226d6,
+    0x1d8711a8, 0x8716d810, 0xeb819538, 0xd3ac9554, 0xe80a930c, 0x5922b9fa, 0x38104c72, 0x2d58548b,
+    0x7984bf8b, 0x40d8eb54, 0xa8a88092, 0xdfd24e23, 0x70eb1ba9, 0x6fb691b2, 0xa6bb176b, 0xe90b46ed,
+    0xccf5592e, 0xe57098e1, 0x85c52962, 0x8d064f8d, 0x11be04b6, 0x3f6fbc8e, 0x7c29f7d7, 0xa4a87048,
+    0xbf26b585, 0x255b6a76, 0x6d0469d0, 0x2cdd316c, 0xcf47cddd, 0xc3b23eb8, 0x7dad49af, 0xfcfa33d2,
+    0x28227899, 0x4fc17506, 0xafff0e82, 0xcca0ce16, 0x445e649b, 0xfcbe482d, 0x50b05af4, 0xf6986d60,
+    0x7dfc85ae, 0xe49d3eff, 0x2fa26fe7, 0x8cdffff4, 0x0b8bc8b1, 0x643c231a, 0x0d4658c5, 0xf6fee040,
+    0xb7868313, 0x02c60f31, 0x67b72fe7, 0x58aa4ca3, 0xa167d384, 0xab50c8b7, 0x3b7458e2, 0x69113f5f,
+    0xd01db9e0, 0x0c33a171, 0x9999016f, 0xaa8a990a, 0x18062294, 0xea57d96d, 0x431e55bb, 0x674b6ff3,
+    0x12029ddf, 0xdc3952a8, 0x507ab36e, 0xfe48eb0d, 0x543d5d14, 0x34c45c50, 0x243ce7d1, 0x7192c65c,
+    0x1594e34a, 0xbd801fc1, 0xfdee2daa, 0xd73277a6, 0xc52e5f1e, 0x1335eaaa, 0xd8a2242a, 0x0fb1c511,
+    0x3300de23, 0xfe356c15, 0x390e4af0, 0xfbf66f40, 0xce7de90c, 0x5aa2b229, 0xce36141a, 0x0b8245dd,
+    0x9a35b39d, 0xc8022d95, 0x08030de1, 0xdf106f9c, 0xd1fda184, 0xbd9e8832, 0xda8ad1ea, 0x96da2441,
+    0x762d07ba, 0x23164edc, 0x14297305, 0x21ab81da, 0x20afd44e, 0x3590227d, 0xa6e9e586, 0xeae7ec6f,
+    0xd871fa3f, 0x580383f7, 0x3e1f5ef0, 0x595efef1, 0xa4ac15e2, 0xc2758a26, 0x72859a4c, 0x128841e1,
+    0x9ebd18b9, 0x3adcd418, 0xf72655d4, 0xfbe4425a, 0xd0bbd17f, 0x241e2c12, 0x9a0fba4e, 0x3b4bb6c5,
+    0x7cd5db20, 0x5ece73bb, 0x0f93c1fb, 0xa1d61c57, 0xf9946738, 0xf8b30115, 0x585910a1, 0x59f47d91,
+    0x34422067, 0xab10fbe6, 0xbb400080, 0x28ff8d67, 0xd14bedc3, 0x8c968d1c, 0x90ed90c5, 0x9780d915,
+    0x818a37a3, 0x1cccfbe5, 0x74cd8dbf, 0xcada0cf7, 0x4a537eae, 0x8597c69f, 0x3d9ddb60, 0x76c74d4f,
+    0x9d5b7e01, 0x62299422, 0x6bd14a54, 0xe67e890d, 0x65e33c73, 0xf7c403f0, 0xa088cfef, 0x99373cf7,
+    0xe991ca87, 0xda15398a, 0xdfae6145, 0x1ac5945a, 0x366fba7a, 0x75cc92d1, 0xf9a04f70, 0xa2245218,
+    0xfe50fec9, 0x864d7d99, 0x3e8060ac, 0x8f1337ed, 0x3ed9cdf9, 0xc7c08d1e, 0xebdd79a3, 0xb374ce7b,
+    0x7a0dbea8, 0x1ca576ca, 0xb47d9d35, 0xf768764b, 0xdefbca5f, 0x8d346e2d, 0x552f2b5f, 0xb6b48189,
+    0xf0056573, 0x8135054d, 0x6308f68a, 0x1c12aa5b, 0xfda27bd9, 0xe81b8ad5, 0xe5260000, 0x1f758bb7,
+    0xab485825, 0xbbcf8e9f, 0x07d2acf8, 0xe3e7b2b7, 0x216c9b27, 0xc300e62e, 0x4c351bca, 0xb2e405c6,
+    0x2f7a3004, 0x96d2affd, 0x19395d03, 0xd74bb1e3, 0xb99d1df3, 0x85f4cbfa, 0x55d99904, 0x7db318c7,
+    0x1ba17e20, 0xc44720ca, 0xd4df4f28, 0xf292eda3, 0xb7281f97, 0xd3860206, 0x5d03d8ac, 0x012e78d8,
+    0x7bc6dfaa, 0xa4297da7, 0x61bcee71, 0xaba01a2b, 0x909d29c8, 0xd38022e3, 0xfc8b1b3a, 0xf1116402,
+    0x2bb70e65, 0xb21dc19c, 0xee2df5cf, 0x10e11963, 0xb1dd08e8, 0x0fcfea03, 0x5012a0ca, 0x46d9a4a9,
+    0x62bac0f8, 0xe906af52, 0xf585846f, 0x65f33351, 0xfeba0134, 0xe1aca4de, 0xa92410f3, 0x2c04f398,
+    0x7f916469, 0x6b8010cd, 0xe73af9ab, 0xa1769d58, 0x61fda733, 0x3c1bdbac, 0x9ae63e28, 0x65ec053e,
+    0xe30ad369, 0x3c67f6b3, 0x6a310775, 0x7274e8c0, 0xc3c11784, 0xf2c4a613, 0xd4c2a9a5, 0xbfaf9cdf,
+    0x6acedfb6, 0xa45b24e0, 0x9c67d955, 0xe8f75898, 0x463a6f46, 0x7097461b, 0xcaf591e1, 0xbf58a718,
+    0x15a3d466, 0xd1e4c018, 0xf3ac92c6, 0x338a59e4, 0x3d3fe010, 0x48a35316, 0x9f1f27fd, 0x23f27a04,
+    0xd347d53b, 0x038feee7, 0x342a9b34, 0xbbd533fa, 0xac069ac2, 0x37d3a609, 0x49b9a605, 0x0315ba29,
+    0x89a6129a, 0xb1abdfd3, 0x9731679c, 0x51a29936, 0x96721170, 0xa97b4f5d, 0x77c68ade, 0x190bb6ed,
+    0xaceb1f13, 0x20ebb3ad, 0x4a15d5f5, 0x6e960c04, 0x34b01d2f, 0xc1c670e2, 0x2bbb1bab, 0x6779a798,
+    0xe4004aa0, 0x9ba52efd, 0xfbb938ef, 0x3e1faab5, 0x8a1a3c13, 0x05d59208, 0x34498429, 0xdee0c6fd,
+    0x1a487479, 0xcfa851d5, 0x2e9e8494, 0x463e6cff, 0xfd37a2d2, 0xd4921393, 0x2dd4e3ac, 0xe3abde32,
+    0xcecfa82e, 0xfb225995, 0x1e1226ae, 0xea9fa4d6, 0x3a61ae73, 0x96361cb6, 0x63a187e2, 0xbd9be9cc,
+    0xe13b58bf, 0x2f9c95b7, 0xc075c82c, 0x38fd30fa, 0xcb9db526, 0xc8ed8dd4, 0x10ebcc9f, 0x1f11edd7,
+    0xe0f57af1, 0x2c67a5af, 0xa346f24c, 0x1be2e90f, 0xc7a4ad91, 0x10f5c6eb, 0x99e5e714, 0x2de1ac2a,
+    0x107b5695, 0x196143e4, 0xdd95eb34, 0xe3088eed, 0x44b168e9, 0x3599dfeb, 0x2208c941, 0x950890fe,
+    0x46530aa7, 0xfe1a965d, 0x59b88295, 0x41667d3d, 0xbb1e696b, 0x6c0e0a07, 0x4e10ba54, 0xdd7a06ed,
+    0xe5b27e49, 0x4b531081, 0x59128ae8, 0xedd8f326, 0x3aa11f49, 0xe66347f6, 0x233cd121, 0xda94fd1b,
+    0xb5f8b029, 0x1b4b9f75, 0x327fc55a, 0x4c202e6a, 0x1c6b2511, 0x6a3fb9f3, 0xb51b57f4, 0x4968b910,
+    0x8eb116ea, 0xd1a60bb4, 0x311cd90f, 0x4909d498, 0xd0880f25, 0x82c63c73, 0xd50e9d36, 0x99985e83,
+    0xe3acc821, 0x8325f898, 0x86c3cda6, 0x83d80f4a, 0x6bdd99fb, 0x70728611, 0xcfa1f687, 0x9c4d9f6d,
+    0x01dac22d, 0x90dbf5a3, 0x6719833f, 0xd809f675, 0x95c43a0f, 0xfb5fb072, 0x88775e3f, 0x7582982b,
+    0x34a2be2c, 0xd19a11b0, 0x0fc30bda, 0x14a98f9c, 0x78f17327, 0xb6143e93, 0xcc909fe7, 0x9368ece2,
+    0xb97aa429, 0xc32ae422, 0xe57cfb04, 0xd0079bbf, 0x0efb9189, 0x437f4b2b, 0x44a733ec, 0x7b657c95,
+    0x0a3dcfb6, 0x606d02d7, 0x3589a692, 0x4341731d, 0xbf79c06c, 0x188ca560, 0x852260fd, 0x2f86cfe3,
+    0x72840b46, 0xea1ba7d3, 0x33f546f9, 0xff79f7c4, 0x1c6d6172, 0x6cea36ba, 0xf8995bd6, 0x8d3d207a,
+    0x45f2d0b3, 0x2944511e, 0x2a385234, 0x3e19c252, 0x3841c582, 0x3b73085d, 0x5fd00202, 0x8af25881,
+    0xef41f263, 0xcc523701, 0x0f873b65, 0x64b5274a, 0xe298cda8, 0xee89beba, 0x207ac435, 0x16914a3e,
+    0xd564e19a, 0xdc698aa6, 0x5939febf, 0x125a059f, 0x50affdcd, 0x9e5bf728, 0xbbc429fc, 0x6d60b16d,
+    0xa5833a47, 0x81696def, 0x05f81e01, 0x3861a062, 0x9b404c5c, 0xbf70d931, 0xd91a4e60, 0xd05d610b,
+    0x424856bd, 0xd9abcd06, 0xdf8545aa, 0xaaa3d3d9, 0xc8fb3c5f, 0x538f0e3f, 0x94db4b6d, 0x23379316,
+    0x7777a776, 0x844a3636, 0x5e69d380, 0x5c969453, 0x2b278221, 0x110ddfff, 0x595455ad, 0xd2ce3e99,
+    0x9405f692, 0x41708788, 0xcd42d281, 0xf48f0487, 0xd16c84a9, 0xfc342081, 0x9319fb57, 0x58e6dbec,
+    0x804c02de, 0x5dbb54f4, 0x48cb05c6, 0xc00d4eed, 0x9c93cff7, 0x4840a481, 0x4c3f5568, 0xa92bf8bd,
+    0x4c00a76f, 0xaa72f4ff, 0xe622f87f, 0x691a3023, 0x728f2f42, 0x1c5e77e1, 0xdc4f32e7, 0xc2504219,
+    0x8316393e, 0xb24329d1, 0x14a40b1d, 0x969929be, 0xa09b6241, 0xb0b51756, 0x4c2587ea, 0xd44ccaae,
+    0x5ca94eaf, 0x23938f73, 0x1a4aaf95, 0x2f1211cf, 0x95f7a328, 0x4ea7a325, 0x16330e09, 0x10e3ef2b,
+    0x5ca45ce4, 0x90e28d77, 0x892a0a3c, 0x7c00ca07, 0xe19f9888, 0x645b92f5, 0x294004b9, 0xb4a0140e,
+    0x00000000,
+    0x3a74cac1, 0x68d6acc0, 0x2846dfea, 0x4bd0a7af, 0x6d055271, 0xab831707, 0x6bc08588, 0x61e98be6,
+    0x254dfdf4, 0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0x3ffffcad,
+    0x00000000 }, /* 10**-00000007991676288808940112336888908270505742716411245222326146199441816640951\
+                          65137859998750798362384253944616915694367080095461234681773897801038410285056 */
+  { 0x00000000,
+    0x262899b0, 0x4effa730, 0x9f112888, 0x869d05fc, 0xb61f6571, 0x0ab82920, 0xdf6b0f37, 0xcbdbf49d,
+    0x66f529cd, 0xf292716b, 0xf5d25b8a, 0x21991b18, 0xa4ece0a6, 0x27480662, 0x56ffac08, 0xed7971d9,
+    0xbf47c08a, 0xbe8c1e38, 0xf54f94f3, 0xf4876808, 0xe5463460, 0xb0af5816, 0x0395b5e8, 0x20fc896b,
+    0x1b1a7426, 0x7903d1a4, 0x4093dcb9, 0x98871a5a, 0x4c151f7c, 0x24eb6d81, 0x9e8e1b59, 0xa3058758,
+    0x29f999bc, 0x87966a66, 0xba197d8c, 0x1cd1fe98, 0x20e52bc1, 0x96f7b3d2, 0x4c7c4a13, 0x5bf780a6,
+    0x15dc4ee0, 0xdd327d68, 0x153a93fc, 0x52f2941e, 0x9c10ed3c, 0x73d7e9bf, 0x10d06ee7, 0x2e42dde4,
+    0x4b79d131, 0x29475a37, 0x092b1c11, 0x91cc2181, 0x94bf31b6, 0x0682e7dc, 0x46dd6a2e, 0x11556478,
+    0x34fc6875, 0x43635ca1, 0xf28f3987, 0x62819a57, 0xd006d603, 0x82b4a40c, 0x1696a3cf, 0x83565b87,
+    0xab5dcb9d, 0x2ed801f2, 0x7a773c00, 0x1296a613, 0x1d28e40c, 0xf950b0a3, 0xe03592d6, 0xd8281c2a,
+    0xb23be1e2, 0x3d24a651, 0xd43bb4a3, 0x7fcad65b, 0x060ee227, 0x20d846a8, 0xd753606a, 0x34f6bf9d,
+    0x05fc538d, 0x285f3a9a, 0x8dc9b71f, 0x4a8aa9fd, 0x000b284f, 0x7cfbba2f, 0xce153b35, 0xf8dfe711,
+    0x459c3937, 0x3ed6d884, 0xa3304df2, 0x9aca0661, 0x0d822aff, 0x6c8d377f, 0x6aed19bc, 0x70864dfa,
+    0x33e5c84b, 0xd209bd28, 0x6aca9c3b, 0xbceba125, 0xe5993a16, 0xd8f9bd86, 0xd99d0ae3, 0x6ae64a05,
+    0xde0b9c3d, 0x48d73c36, 0x70a41a31, 0x1e6e2265, 0xec3f2f17, 0xa482301a, 0x6e560402, 0x7c753673,
+    0x17e26c03, 0x67dcb18b, 0x518beee6, 0xa9277432, 0x41991c7a, 0xdf656d3b, 0x689b157c, 0x80789505,
+    0xc3c576d6, 0xfd289187, 0xb5be27f9, 0x2fe7707e, 0x8e67207b, 0xed0d5abf, 0x08d5e95e, 0xc5bf2eeb,
+    0x39c4e3f8, 0xf0dc9025, 0x611dc0ca, 0xc425243d, 0xd1cbaa75, 0x62c3a7c8, 0x86b1c55a, 0xd5593120,
+    0x2641d14c, 0xe7f4062f, 0xa32fb1dd, 0x154f98ee, 0x2de30585, 0x776ad718, 0x55e67510, 0xfe9fb969,
+    0xe54b63b9, 0xb9709417, 0xdbc3826d, 0x25d73e07, 0xdc5cbe21, 0xfa5e9d49, 0x1cd7d198, 0x72d653f3,
+    0x06664b6b, 0x125dd04b, 0xfbec5528, 0xcf67e336, 0x2d45aa9d, 0xb0fdfc74, 0x89402324, 0x2bc19555,
+    0x2a5c6f34, 0x83361e84, 0xc5a94beb, 0xc5694167, 0xedc72f2d, 0x24d691de, 0x405a24be, 0x04a3f3ff,
+    0xb4aa7a27, 0xb50e47a9, 0xc8372bab, 0x5e275ea5, 0x76e3a7d0, 0xc896b3a6, 0x8e92ac19, 0x0ebee553,
+    0x9101316a, 0x36efa9f4, 0x963c8936, 0x9f12e144, 0x0db659ee, 0x494adfc0, 0x3a969b04, 0x8835547d,
+    0xd6efe989, 0x413c9aef, 0x04eee128, 0x4dfef0d1, 0xfa938f65, 0x44f8e1a9, 0xf50de4bc, 0x51557548,
+    0xf1b2ef80, 0xb33e36bd, 0xb5d61dbd, 0xf0903ee3, 0x407537c0, 0x5a032a26, 0x2b4df323, 0xf9dcc6ba,
+    0xd3e9e09e, 0x2f12a650, 0x466da0bf, 0xfa437b1d, 0x9e0fd7b8, 0xdd67f323, 0xa94e622a, 0xc47d84ad,
+    0xc7b47665, 0xd87b10fe, 0x581c7959, 0x72371825, 0x57ad09be, 0x5e7a967d, 0xf13826f4, 0xcfc98bf8,
+    0x8b804b7f, 0x7b026870, 0x14c76763, 0x6c181aa4, 0x4302f3b5, 0xcc6d9ee1, 0xa2bab4b8, 0x113c494f,
+    0xd7b8dfa3, 0xb70c0585, 0x70859148, 0xedc6940c, 0x4f4621ea, 0x8e1afa12, 0xe096fbda, 0x833b62e5,
+    0x8c5beb65, 0x0fb8b56f, 0x8ac63634, 0x425a6d91, 0x44397cda, 0x0782be40, 0x3ecd96bf, 0x68f6d6ad,
+    0x8e97a37c, 0x3feef636, 0xc9ebb403, 0x75dad9fd, 0xcc4425e6, 0x92d8a838, 0xae142944, 0xf67f5b69,
+    0x8a155df7, 0x5121fb8b, 0x71a3b77c, 0x86693a34, 0xc84c3af6, 0xd7ed5a07, 0x2fe531f4, 0xfca89e62,
+    0xd9230d14, 0x0ae14fcb, 0x72b33c0b, 0x00cc9e6a, 0xb2854eb5, 0xf570f471, 0x990f1766, 0xf12d0537,
+    0xbb6d66ce, 0x6d567428, 0x9fb372d7, 0x8e33596c, 0xf7570450, 0xe2e54df0, 0x0ce8426b, 0x7aac7b7b,
+    0x45736763, 0x32ec6421, 0xb7c9ec09, 0xa1652f4a, 0x9d721386, 0x1ee6b942, 0xdf1e4411, 0xba58a1ae,
+    0xd54589e1, 0x8045af7b, 0x84304ed4, 0x3c799ac6, 0x39cf3b7e, 0x8df6bbc0, 0x4e6a560a, 0x55e1b924,
+    0x9847c4e0, 0xca509407, 0x21f0926b, 0x02b06b76, 0x12fc3874, 0x78c2a6b9, 0xbf0029b0, 0x0e94d19f,
+    0x66c66988, 0x1d5ac3fa, 0x69b10aa2, 0x95d429d9, 0xefbfc5b6, 0xbf5dac9b, 0x44c1acb3, 0x9c64c872,
+    0xd0dc95ea, 0xb8540e71, 0xc823d28d, 0x407871df, 0xe78d247d, 0xb415ee52, 0x5cd202c6, 0x60aecd73,
+    0x7d6c79d6, 0xb0137b00, 0x7fdd94bb, 0x97880795, 0x9708470f, 0x4a45b73e, 0x309a07ac, 0x1d09ec63,
+    0xed9823db, 0x32c57831, 0xb3893690, 0xedc94bba, 0x76dcee8b, 0x8bcf3a02, 0xb3d64eac, 0x4d378cd2,
+    0xbcbbbbce, 0xb5dda090, 0x9751662b, 0x16d9194a, 0x584f046b, 0x25da1348, 0x2ceb607d, 0xd5e8f17a,
+    0x3b613eb5, 0x85654941, 0xb2412f83, 0xf84c994f, 0xbe856c7f, 0x63106a70, 0x8203cf62, 0x0c54b4f5,
+    0xfea9135a, 0x99992202, 0x9e828ae3, 0x0f722353, 0x2c7c1fd4, 0xb2200450, 0x56b45230, 0xb97836a5,
+    0x5ed9c3fa, 0x157966ee, 0x52a7263e, 0xa2136813, 0x0edcefa5, 0x5dce6eff, 0x6f3eeca3, 0xfb9ac470,
+    0xe6a0b8de, 0x4bd346f5, 0x94304b18, 0xfc150a70, 0x7613b2fb, 0xe27e92aa, 0xd07ff2a5, 0x0303c492,
+    0x2e7a49dd, 0xa1be23c0, 0x82a1b2d0, 0x203a91ec, 0x029ee9d8, 0x3c2f0801, 0xab5a356f, 0xce42a678,
+    0x3bace201, 0xe20ff82e, 0x8327e7b6, 0xaf6a81fa, 0x01e700ff, 0x7028fcd2, 0xe0e44750, 0x0b17fc58,
+    0xa50de958, 0xe3c8db5f, 0xbb1c98e1, 0xcde74f85, 0xd4b362e1, 0x8a4547f6, 0xe524b510, 0xcf0dca8c,
+    0xeb9247b7, 0x1390220b, 0xd8911199, 0x9dc61e4c, 0xb3d3db37, 0x5e9acaa8, 0x9326356b, 0x98b64815,
+    0xdd396bc1, 0xa6d7033f, 0x81f5f760, 0x75645e59, 0x326daca9, 0xb5423e30, 0x5031d8ad, 0xc5faf215,
+    0xeba357e8, 0xa945e89b, 0x6e1f8efa, 0x96501727, 0x24530adf, 0x7f82a7cd, 0x2d34d3a6, 0xc14d939d,
+    0x31fdc6df, 0x964ae96e, 0x43b49d89, 0x31875f13, 0xec8f125c, 0x677c9218, 0xb08bc350, 0x94447a52,
+    0x7726630f, 0xf98f266a, 0x51de951d, 0xd018d9d4, 0x50fe00f6, 0x1ce48aad, 0x46268360, 0x6578ae60,
+    0x653a2005, 0xabbc320f, 0xe97eadd8, 0xb3b9539e, 0x94dc9ce3, 0x6b6ef21e, 0x6fe72f64, 0x6862e621,
+    0x9ebe0dd8, 0x2f6cf92e, 0x401a2818, 0x07cd3824, 0xd91ad70d, 0x741d057e, 0xaf2df5be, 0x0e237a4f,
+    0xd1c7fe78, 0x0f9c6552, 0xf876f603, 0x1b8d84e0, 0x9cb45f4a, 0xfe2e358e, 0x8a96feb1, 0xe26779bd,
+    0x3e5f1566, 0x9b1bfdd3, 0x54cbc1be, 0xa02e45e9, 0x31dce3d8, 0xc236b88a, 0xf618dcbf, 0x1d6ebfdb,
+    0x4b89c960, 0x4fd92cb5, 0x1882a544, 0xbfe17203, 0x60f963c7, 0x739d9588, 0x0c106f8a, 0xbb281309,
+    0xf7864620, 0x4401386a, 0xb6faa413, 0xa31fe50b, 0x6f5131a3, 0xbbde3834, 0x31897d32, 0x7aa25bb8,
+    0x42287a36, 0x8b1ba507, 0xe2cff26c, 0xe0ac1b46, 0x754b8e7b, 0x89f5a43a, 0xf35702ed, 0xc73c87f9,
+    0x47b39ec9, 0xb8a9745f, 0xc4e1c1e9, 0x2b5c8220, 0xd95af71a, 0x42d15640, 0x51128ac6, 0x07aca73d,
+    0x54a49016, 0xefef4e52, 0xa30268f0, 0x38b65a0c, 0x9770423c, 0x4b3c1e1b, 0x9c9669d4, 0x0046a22f,
+    0xaf4c5a90, 0x4169db6b, 0x3583f982, 0xb3516a2c, 0xb4ca77d3, 0xed748bab, 0xd5da6ef9, 0x77906749,
+    0x3c398ddf, 0x97ac4960, 0x1e74b9a0, 0xce10fbaa, 0x93e43d83, 0x0c5445a3, 0xfdfab190, 0xf9336151,
+    0x4c8b430d, 0xda473a63, 0xc0125e79, 0xab431c47, 0x95de93a7, 0x2ab9acd9, 0x4160885a, 0x9ab65ef5,
+    0x4cf78796, 0x46d631d3, 0x3b789de7, 0x0515d7a8, 0x6be9ff62, 0xc43d2064, 0xd8416179, 0xd171801c,
+    0x9664b0c3, 0xb2bd0c2c, 0x3d635982, 0xe8f1d681, 0x40277660, 0xbf339e3a, 0xbe7b39d6, 0x174865fd,
+    0xaedf5e8a, 0xece8c9ff, 0x7a727aa7, 0x1d0c8c3f, 0x186c7547, 0x9e4bd789, 0xa6460e96, 0x42c7e0f7,
+    0x0fec1c54, 0x1c3109a9, 0xd77cf6f6, 0xc5e2a074, 0x6a049d9a, 0xea3378b7, 0xdb515e65, 0x6929488b,
+    0xacb42c8f, 0xb584a987, 0x6cbc5a6a, 0x4907dbd0, 0x87fbeb71, 0x2008ae68, 0xeec38822, 0xa38b19fc,
+    0x12f8956d, 0xbd7fc391, 0xbadfe527, 0x7eac647d, 0x151dbd24, 0x98df2a51, 0x65ac6241, 0x0a2136b3,
+    0x833375cb, 0xf3760758, 0xe2302f9a, 0xe9967e09, 0x13fea973, 0x645384f7, 0x74639ee3, 0xa0b16f43,
+    0xac26110b, 0xb2d383a3, 0x031324d2, 0xf174a6eb, 0xa1ff7e36, 0xafd183b9, 0xe20ed055, 0x70962a73,
+    0xe00c079d, 0x998cdb3d, 0x8780a946, 0x1e91850d, 0x786a8bc0, 0xe7aaa3b7, 0xa347389a, 0xc3150687,
+    0x10db454c, 0xb552a17d, 0xff4462f5, 0x736e0c77, 0xc16c7340, 0xb66a376f, 0x704a8f3d, 0x1a7498a1,
+    0x0ea73f93, 0x3cab7bfa, 0xd5fc76ad, 0xa177028d, 0xc434234c, 0x67ed47a6, 0x866bb551, 0xfa0e3b1f,
+    0x47ffb2ec, 0xd0dfb6ad, 0x5a82076c, 0xd1cccb2c, 0x0f023379, 0xb2df05ae, 0x1ea4e1bf, 0x6594424d,
+    0xeb7a0456, 0x40ac6bbf, 0xc4d9ee3f, 0xcd6f81ef, 0xe99a223f, 0x444dfe20, 0x0480e2e2, 0xde8e8bc7,
+    0x5f814a2c, 0xe480759d, 0x5aac762b, 0x5d33d99c, 0x171f1fd0, 0xfe142e94, 0x66a6d43d, 0x1a51ca8a,
+    0x35c29b24, 0x8a694d0b, 0xdaac86cd, 0xa46e831f, 0x12be8c27, 0x989b47a1, 0x07b4c4e6, 0xbd7b644c,
+    0x7d57a02b, 0xe05560ae, 0x312aa6dd, 0xdd66b5a8, 0xf816f9c2, 0x001759d7, 0x7ba7f334, 0xe120d4c7,
+    0x98a95c66, 0x066de1c5, 0x3d10ae22, 0x105c3984, 0xbad4eb00, 0x6da4f9d5, 0xcad01592, 0x4556e334,
+    0x28be03bd, 0xe9575903, 0xd11998d4, 0x736ff7eb, 0xdb4a2975, 0xb90c55f5, 0xa2340a92, 0xc3473ce1,
+    0x914d64e2, 0xa303c355, 0x147ed56b, 0x59a7c1d9, 0xc9508beb, 0x3c6bc9e2, 0x57eff86f, 0xa3e2ce91,
+    0xe2c860c6, 0x906c26f1, 0x6a54836f, 0x206ce29d, 0x3c8aa5b8, 0x0dd3160f, 0x315d552d, 0x3ce183cd,
+    0xe458d80e, 0x99c3a5e0, 0x69809af1, 0x1654fca8, 0x2858d02a, 0x483bfc8f, 0x222ce909, 0xb463b148,
+    0xfe9afe56, 0xc82a1f1c, 0xd796110e, 0x8860dbd0, 0x16513d96, 0xefe19dc7, 0x51bb77ff, 0xdd467a1d,
+    0xfa8dc79c, 0xeaaa9e86, 0xb73b395a, 0xdf114f37, 0x27b7cd24, 0x909365ed, 0xfd6d8922, 0x526e5e87,
+    0x288deda0, 0x9e95a846, 0x1ac297b3, 0x5adc3d99, 0x60253514, 0xbdb2232a, 0x69e44898, 0xa8b5a4e6,
+    0xcfb1eb14, 0xd645db24, 0x56391c44, 0x8b15a7d3, 0x2e5b7cc8, 0x05f31566, 0x0ed53f04, 0x00f254c5,
+    0xc14eaef0, 0x5fa9cb49, 0x84ca5326, 0xe0844810, 0x354119c0, 0x93786f67, 0x03a67497, 0xc6eb4111,
+    0x75295583, 0x0c8daaa2, 0xaaac1c1f, 0x9e2d405e, 0xdd9dad83, 0x430bc9e1, 0xfb3e2167, 0x113edcad,
+    0x7ebedb92, 0x55153979, 0x338b9246, 0x7e3be404, 0xd63b846e, 0x45430c22, 0xa9a589d7, 0x4a4d0c0e,
+    0x2b57168b, 0xfdd67fe2, 0x350bf957, 0x15542193, 0x331434ad, 0xb404ad26, 0x3e348e1e, 0x1190d0b6,
+    0xfd41b9a6, 0x6a29d24b, 0x40d3d4be, 0x87d603ff, 0xf428bfc3, 0x5d9b2475, 0x56393773, 0x9e8be467,
+    0xb38bbfae, 0x83c0da56, 0x037c6a17, 0xa9357234, 0x026308e5, 0x1ee5e0da, 0x762698c3, 0x577ccb93,
+    0x94041ba1, 0xaf1a7877, 0x7576f051, 0x43fd22cd, 0x80e2b8f0, 0xbd2eca6d, 0xf1238e3f, 0x3a4d0366,
+    0x62e1a847, 0x56adf869, 0xd919eff9, 0xa45fc795, 0x36aa8044, 0xca547e4b, 0xf9d686cf, 0xaa2a3da8,
+    0xb9f70409, 0x280a90a7, 0x088c9ce7, 0x381ab24f, 0xf45ffd62, 0x7be97071, 0xbd45dc4a, 0x8b39e406,
+    0x12da26bc, 0xe2829db8, 0xfc26ed9e, 0x540781ad, 0x70a12c5e, 0xe6f40f1b, 0x12f4b465, 0x8a6b0c01,
+    0xae91a3bd, 0xbfa61a7a, 0xe03aeabe, 0xdf47bd87, 0x0a8c6c5e, 0x5104819a, 0x7d66bcf5, 0x1c721d0d,
+    0x7d347f2f, 0x50aa9570, 0x3f9b11f9, 0x4080f997, 0x24dbbaa1, 0x0c09a910, 0x1798c59c, 0xfb5326ec,
+    0x5b493f9c, 0xd0fe0fb6, 0x7dee6941, 0xd79a50fe, 0x1536f429, 0xd803d658, 0x84f6e26d, 0xefbf86cd,
+    0xbd6e4763, 0xffd5e1b4, 0x80f57c0e, 0x3028d6d9, 0xb8fb778e, 0xdccc3bea, 0xf42ab08b, 0x144ce800,
+    0x26b4427f, 0x46eadaa0, 0x071e0c5e, 0x6ae1db7e, 0xa64eb3a5, 0x7d7affc4, 0x38bc87aa, 0x5db753c2,
+    0x9a62a33b, 0x2f013538, 0x93b2a963, 0xb4005208, 0x981033d0, 0x810cc022, 0xa143828f, 0xf03e57a0,
+    0x10100d22, 0xdfc02b0e, 0xd5c82585, 0x7964b502, 0xbb15b280, 0xe039fe6e, 0x164da1eb, 0x048e55bf,
+    0xd211bd46, 0xe6a4460e, 0x3ac951cd, 0x506beaf5, 0xf11058eb, 0x29fb2e70, 0x751ece61, 0xea021040,
+    0x08447b63, 0xb9b445e1, 0xf6852ee0, 0x87b73468, 0x5d6a6351, 0x2d2d1f1e, 0x146b8b8c, 0xfc1f0a05,
+    0x6aef3e4a, 0xf17f12c7, 0x5b60fc67, 0xd9ec5112, 0xdadaac63, 0x6cc3b423, 0x67c4fee8, 0xc581df3e,
+    0x1914ed54, 0x787b1e63, 0xaad084a9, 0x00e32fd3, 0xf3fa8ce1, 0xd7e0fe0d, 0x2f333d1d, 0xca3215e0,
+    0x9bc8adf4, 0x8c5ef876, 0x7b12936e, 0x3d2806d0, 0x489c0224, 0xae9ee50d, 0x3c7ffafa, 0x74f032a5,
+    0x7ec4a752, 0x6d2a4fef, 0x43a73548, 0x421d4063, 0x13192f38, 0x56f4c1b2, 0xca0ee655, 0xe0fa89ed,
+    0x8b5c31a2, 0xedcdad00, 0x55050e9b, 0xba1d26d1, 0x40dac5ed, 0xeb5b36b8, 0x36d4b361, 0xfcf9c550,
+    0x59ec944c, 0x9f5fe538, 0x69fdbcb6, 0xd97f87a7, 0x5fdda0c4, 0x12b8dc9a, 0xd3aa3b22, 0xb6e6fffb,
+    0x39e7c3f9, 0xdf1e1cc5, 0x3825672d, 0x126dcb5a, 0xbab56751, 0x192253f6, 0x6e28223e, 0x5ce101d1,
+    0xc4be0982, 0x921d8530, 0x6f625ae0, 0xff7b164e, 0x44fa2ca5, 0xab38ddfd, 0x76ea5808, 0xcee39aae,
+    0x3869c2bf, 0x6c191b01, 0xd54246df, 0x60b2c707, 0x1b3938ae, 0x2fd7ec75, 0xeda013c0, 0x2dc401b9,
+    0xf88c6f4e, 0x7b6e39dc, 0x1662862f, 0xfc725e90, 0xbe01e7a6, 0x0e89d681, 0x58c4206c, 0x1d9d3fc1,
+    0xd3fe4216, 0xc8fec7bf, 0xa66eea09, 0x1c78b9a2, 0xe7bd2cb7, 0x8b12774d, 0xd3c3deb7, 0x26bf8a2b,
+    0xc15f2778, 0x27d938e1, 0x66fc4104, 0x13c6142e, 0x4ca6cc7b, 0x1f67c5c3, 0x149b9ce3, 0x23223187,
+    0xeabac9cd, 0x60548883, 0x7be8b2c1, 0x43f72834, 0x6b8de0cc, 0xa391ea1e, 0x3f5af926, 0x2dba6ea7,
+    0x78cd952c, 0x637e5778, 0x6b65696d, 0xaa426891, 0x62697bd5, 0x94f097e3, 0xb64430e5, 0xf3040a6c,
+    0xf0226bd3, 0xbe77bfb7, 0x6745e084, 0xc4c9f3b6, 0xe38e3665, 0x6746490f, 0x9c10f5bc, 0xcf464f90,
+    0x78eeeb96, 0x918e809d, 0xdac1fb19, 0xf1b969a1, 0x0e12167d, 0x350aeb14, 0x8c64309e, 0x980d811b,
+    0x00000000,
+    0x1d3a6560, 0x346b5660, 0x94236ff5, 0xa5e853d7, 0xb682a938, 0x55c18b83, 0x35e042c4, 0x30f4c5f3,
+    0x92a6fefa, 0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0x3ffffe56,
+    0x00000000 }, /* 10**-00000003995838144404470056168444454135252871358205622611163073099720908320475\
+                          82568929999375399181192126972308457847183540047730617340886948900519205142528 */
+  { 0x00000000,
+    0x414582e5, 0x2e2d55db, 0x87e9723d, 0x982585a4, 0x1d3347fe, 0xa09c6f47, 0x3656b276, 0x2520ed2a,
+    0xd608106a, 0x66fa8dad, 0xd90b3ee0, 0xad6af493, 0x24c3d038, 0xff16ecd1, 0x51bd8890, 0xa6b6ee70,
+    0x1b64c138, 0x276e1463, 0xb893cdbb, 0xb46e61cc, 0x360d34c6, 0x2e7a80fa, 0xc10a790e, 0x8fa8dad0,
+    0x791d2782, 0x08abff3a, 0x145078cb, 0xd96d8002, 0x7cf777ea, 0x43fa22bf, 0x2dec2e0c, 0x3fc68f13,
+    0x64ab5e85, 0x08d89255, 0x06236a60, 0x2a04e8d7, 0x86e0c4a6, 0xd1ac13f8, 0xe2c9abd1, 0x1a42ce8f,
+    0xe73a5e02, 0x4323f614, 0xaaff0629, 0x2778a158, 0x3ed07634, 0x02accea1, 0x1ecb039b, 0x9647d239,
+    0x8f34408d, 0xa56a6e42, 0x60d62431, 0x5c1b7933, 0x868e1278, 0x0c90b9c4, 0x7d647c79, 0x8deb46a8,
+    0x5695ebfd, 0x657bf0a9, 0x23f4d001, 0x197eeaed, 0x2dab7a4d, 0x680833c2, 0x1e4b80a5, 0x2fdf1f8b,
+    0x192bc8d1, 0xd430df40, 0x86073959, 0x20ab3865, 0xc100fa7d, 0x63f6f593, 0x52e47898, 0x0580cedb,
+    0x277feb74, 0xfc81ad3e, 0x11c91c40, 0x19cda741, 0xd6fc8a0e, 0x3b3101f4, 0x9fa6cdb5, 0x664d4f60,
+    0x2f0e197b, 0xafe5b68b, 0xc8f4990c, 0x669cb435, 0xa941b7c2, 0xebfe780c, 0x8bf09e9c, 0xca74267b,
+    0x6a23b8e7, 0x473cfd51, 0x37bf9472, 0xdbadf81c, 0x3ab9c8d2, 0x22345f05, 0x9adaf978, 0xe83ead46,
+    0xe460b3d9, 0x3d583ead, 0x5017b71b, 0xa732e855, 0x490a8671, 0x66427818, 0x0994fa71, 0x5a7f74fd,
+    0x88c28c58, 0x8462c69e, 0x73aaa5da, 0x8761eb8b, 0x9e1f5543, 0xe187b088, 0x32372e12, 0xe49381cf,
+    0x14d69478, 0xe51b4d11, 0x9bc6e42c, 0xeff5c471, 0x7a9a5712, 0x6957187c, 0x09c8474e, 0xfc20a9bc,
+    0x6ba58286, 0x435c3d74, 0xc3844695, 0x1085509e, 0x1c618987, 0x8f9b09df, 0x13c99ee2, 0xf1fb9c6a,
+    0xbad9c140, 0x3cffd808, 0x7cbb7ea8, 0x4a4eab4f, 0x86a44d15, 0xc6982844, 0x7586165b, 0x27dfb207,
+    0x58b418d3, 0x17a4286c, 0x54aa3715, 0x7ebe068b, 0x1b704aa0, 0x0737e07a, 0xa707b54a, 0xe415e02b,
+    0x16d11230, 0x5b367b68, 0xed8c2060, 0x24e7ed08, 0x6a362105, 0xb0a97e0a, 0xed07b7a4, 0x40c211b2,
+    0x3759d161, 0xd3bcdcbe, 0xe21e2a53, 0x211be556, 0x88777b72, 0xcd1a6625, 0xa552ecb9, 0x18c78325,
+    0xdb42234e, 0x047ba3bd, 0x3b92c980, 0x3689c740, 0x5724f7e7, 0x0a3fa82c, 0xa6f9be56, 0xb036f8f2,
+    0x0af624c7, 0x3ff56f5a, 0x5f2532a2, 0x4cb3e7ca, 0xf6e07b04, 0x5984ee85, 0x6f3d1054, 0x00cd5d10,
+    0x61d2fb6d, 0x0483c446, 0x66f0d5bc, 0x338f6889, 0xd64e0a28, 0x83a71767, 0x2f769b39, 0x0dda4fe6,
+    0xb29fab71, 0xaa102a96, 0x8dc97ce3, 0xf89c49d3, 0xc4bf8698, 0xad0fbe24, 0x3a195191, 0x2689dc35,
+    0x628818cb, 0x511c06f4, 0x27d2ca46, 0x5eb7d2e8, 0xd14895e2, 0x49a7634d, 0x343177c5, 0xfc152b79,
+    0x4eafb333, 0x6c3ac883, 0x691428bf, 0xff9b3f98, 0xfb818df0, 0x04e259ed, 0x3fd666c0, 0xd985f0ae,
+    0x2ceeb8da, 0x6792382e, 0x2483b1bc, 0x2120fb94, 0xc66a1390, 0x35fd589c, 0xec9eae42, 0x446cabb3,
+    0x0908fe34, 0xcf78e9aa, 0xf101cc36, 0x21bbfee6, 0xe63e1e33, 0xc0f49574, 0x75446540, 0xfa4cfdff,
+    0xa54ed4b6, 0xf32332ad, 0x1579f57e, 0x5be5f17f, 0x23224027, 0xc6a2158f, 0x85197758, 0xf26d99d4,
+    0xc4da2d28, 0x8b46a824, 0x8bc61831, 0x5c1d95d4, 0x0a0c2d49, 0x1ed24cea, 0x7e1b97fb, 0x448860eb,
+    0x8477ddac, 0x6bc272f2, 0xf503af79, 0x546c4492, 0xa1b99329, 0xdee3a335, 0x5172ea66, 0x14404eca,
+    0x96ad546e, 0x4bcc065f, 0x00063a82, 0x417eee4c, 0x3aa17f21, 0xf337991b, 0xb1f80b4f, 0x45ec88da,
+    0xc553af1e, 0xe292e31f, 0x1cc5d545, 0x4b0b8045, 0x88750c42, 0x4ae4980d, 0x1102c474, 0x4a5ff7a6,
+    0xaeda4041, 0x15ead991, 0x60ea7a4d, 0xb4fa04da, 0x1f329e16, 0x51a8687d, 0x842a5505, 0x36deaae2,
+    0x9e04d990, 0xc6a7ae59, 0xa0430275, 0xcd9fdff7, 0xac701e77, 0x193256ef, 0xf7c6112a, 0xd9fa5da2,
+    0x5566ab21, 0x04ee5c36, 0x2419b2dd, 0x55e6ae17, 0x98fe2ac1, 0xdf54e59d, 0xd006ed96, 0xadeb2198,
+    0x2ea13c3e, 0xa6563856, 0xdf869d26, 0x86130326, 0xe3e82c45, 0x35ea3acb, 0x74168bed, 0x846b5219,
+    0xc8152d15, 0xed60ab31, 0xa61b9bce, 0x57e6d077, 0xdfd095df, 0xc534697d, 0x10267d9a, 0x59aa1eb1,
+    0x17c32b37, 0x097a380d, 0xf6396e44, 0x08e75f30, 0xe3e7fae5, 0x7fc05b27, 0x573e1398, 0x3e562553,
+    0xab446869, 0xe027fe2f, 0xb82b682f, 0xde4bae5d, 0xf4ee64ea, 0xa3da52d5, 0x42f5ef0a, 0x7ff0695b,
+    0x3c0dcdbc, 0x0a7dfeb7, 0xa6b5cf71, 0x8cb4653c, 0x57053db7, 0x1a52ebf4, 0x518ee432, 0x99f5b48a,
+    0x188bcb1e, 0x92692eb5, 0xc7eb73fd, 0x837b0503, 0x29119ab6, 0xc265c040, 0xf16e236d, 0x914768b3,
+    0x7742774e, 0xdf2a15f7, 0x12be1faa, 0x93bc14cf, 0x77ea74d2, 0xc7c3e81e, 0x3971e402, 0x2db6403a,
+    0x42797b18, 0xc6739914, 0x1129a353, 0xf5da5a6c, 0x369ef79d, 0x5e8daeab, 0x05284336, 0x47bbe2af,
+    0x93097da4, 0xbfdec21d, 0x14055cbd, 0x9ae3a06f, 0x1e081bdf, 0x19a8e6b0, 0x353a1f14, 0xecc21991,
+    0x201908c0, 0xcdcf3dfd, 0x761dfd04, 0x59b12b10, 0xb33552d2, 0xcb767fe9, 0xcc52d0a3, 0x8d507069,
+    0x143304bd, 0x74d57c5f, 0x37a8ca6a, 0x4e7e1d8b, 0x25107cc3, 0x6c680930, 0xe3e548aa, 0x0432fc34,
+    0xe32099d2, 0x36baff8c, 0x83beb1e3, 0x1939e157, 0xe89e0ef9, 0x10ca22df, 0xa0ade3fd, 0xf03ff048,
+    0xc4ca3fd8, 0x712fddb2, 0x1628e5fe, 0xaba28919, 0x57fa6794, 0x201b3028, 0xf550293e, 0x7d66dc71,
+    0x6eedcc29, 0xd586b6f0, 0x0a015c01, 0xeccddce7, 0x7853698e, 0x66523b63, 0x961918fe, 0xeab172a8,
+    0x3f46de8a, 0x5d43573c, 0xfdd8d44b, 0x38fa4c7e, 0xdedb623c, 0xa275afeb, 0x44cbf228, 0xd3ac7116,
+    0x0cfeb76f, 0x3bc85ac0, 0x6accc46a, 0x0988dc7f, 0x33053760, 0x612bb707, 0x96b688c4, 0xe8b324b2,
+    0x55754f97, 0xae93168e, 0x1f1e0756, 0xc7f1b223, 0x2053227c, 0xa71bceb1, 0xe65352c8, 0x589cb38b,
+    0x7f76e0f8, 0x6336d54a, 0x5506f9d0, 0x0269bbcb, 0x7b744f16, 0x6497c3a1, 0x76448377, 0x5c01e121,
+    0xcf6f512c, 0xa62d2037, 0xd37b31e8, 0x03578e68, 0xe7e1d6b7, 0x6c639bd9, 0x59cb8f84, 0x7947082e,
+    0x0805a2f3, 0x684db5f0, 0xe47b5edd, 0xab13d366, 0x71d96c26, 0xa9ef0b55, 0xd95b6705, 0x2bd2575f,
+    0x4bea800e, 0x86c5ec78, 0x13703dae, 0x930068ba, 0xb6845014, 0xfa3f9547, 0x76cba8b8, 0x83cd8920,
+    0x12cf3248, 0xb0e4c913, 0x552f9f69, 0x10cbe942, 0x51446eb4, 0x835ca170, 0xd9b86ea3, 0xe9954cf6,
+    0x83fd7253, 0xb57901ab, 0xb201a53d, 0x59b3080c, 0x185949f5, 0xde71be89, 0x6af4215d, 0x6f92c28d,
+    0xdaa2ec35, 0x470124e5, 0x07e067c8, 0xdedb329f, 0x42b62c24, 0xe1489a81, 0x5abffb62, 0x8acf9b99,
+    0xa3005271, 0x942f43ed, 0x8a44131b, 0xfae5d4ad, 0xeb843a74, 0xa203c84b, 0x2c21fd61, 0x7712a666,
+    0x424f4260, 0xb88a8348, 0xe31f2336, 0xa9bf85bd, 0x1de95106, 0xd7ac1750, 0xfd501b6a, 0x4212fb71,
+    0x0c22c7db, 0x56c743cf, 0xed8655df, 0x637149f0, 0x767cdcae, 0xaeb192ae, 0x83bbbdf2, 0x9a5843c1,
+    0x87b9600b, 0x6fddd987, 0xe8bde122, 0xcc75fd49, 0x04124135, 0x0ca56c08, 0x2757cc17, 0x4de2a977,
+    0xafd0bd62, 0x38517ae6, 0x5ee82adb, 0xf45a2d09, 0x7eef22a4, 0x57fa9e61, 0x6213b067, 0xe1ab3b15,
+    0xc2dd116f, 0xd2e28402, 0x1fa93c6a, 0xd21a2c4b, 0xb53e7a3b, 0x444ccc98, 0x0c69683d, 0x73e92f23,
+    0x7c3ce86d, 0x70ff9c64, 0x8a3e0a06, 0x887185b3, 0x612cec32, 0x6ba47e84, 0x6ee709e6, 0x0d918538,
+    0x51dc621e, 0x84269d00, 0xb25e8fea, 0xf51d1fe3, 0x914994d6, 0xcecc1c0c, 0xd0138790, 0x72332b7e,
+    0x7ffecfeb, 0xaacae066, 0x1f72fb62, 0x258a3ac4, 0x93fb8e2b, 0x9d2f4653, 0xfa83593c, 0x682ec749,
+    0x968b9157, 0x6b51608b, 0x4fdf1021, 0xda0d7a40, 0x0b642bc3, 0xa08f728d, 0x9e9d0508, 0x5433172b,
+    0x0dd6be91, 0xb0c1ab5c, 0x5d5cd372, 0x1f6be5bd, 0x650aa2b4, 0x1b1af0cc, 0x2dcbc291, 0xdd106c11,
+    0x4d131dab, 0x45267966, 0x45e1d576, 0x64ca76f2, 0xcd003873, 0x5b7a9f74, 0x168c5fcb, 0x6c31c761,
+    0xefd7b76e, 0xfa2e40f8, 0xf14d0447, 0xfef94723, 0x45c27183, 0xc698b6c7, 0x2ff7b29b, 0xdd7fa7d1,
+    0x560ca595, 0xce899a00, 0x3d964f56, 0x86dfea6c, 0xc4ecd4fa, 0xbf8380fe, 0x4b0d8446, 0x13e298e2,
+    0x361861fc, 0x0f82ccfc, 0x91dc97e5, 0x8f56cd37, 0x80db688b, 0xde7268fc, 0x69151e03, 0x06cb6a29,
+    0xe4d7cd79, 0x04277146, 0xe8f4cb46, 0x0826e864, 0xcabf6bb3, 0xd74203cb, 0x4830db09, 0x11c6553a,
+    0x639f13fc, 0x4506c7e0, 0x7b89d4e0, 0xb6822853, 0xdf8d3b97, 0x28ab3817, 0x6e63db32, 0x7c2a3ee7,
+    0x762fb7a6, 0x07962c80, 0x6f5b96f2, 0x99fdd715, 0x5edffe6f, 0x69345c43, 0xb7bc10d8, 0xf1ec26d1,
+    0xf9048e1b, 0x2104e228, 0x15af2ad9, 0x313a1480, 0xfa9b2435, 0x70a5bd7b, 0x9cb94b79, 0x41945ea1,
+    0xc776ffc4, 0x7d80b3db, 0x238370bb, 0x0d69df15, 0x54cd096b, 0xf6bf60ff, 0x3c74b2cd, 0xb0d2250d,
+    0xe3034fb7, 0xa5916a24, 0x4ddde965, 0xde6a48c5, 0xff6f63e2, 0xb1674642, 0x323f423c, 0xebe8b2f9,
+    0x15ee252d, 0x3f6b4627, 0x50acb9c6, 0x18ae6e5a, 0x4f195b10, 0xd3fe02d9, 0x7b470590, 0xaac0e6c0,
+    0xd4f3d873, 0xbdd8be21, 0x88e96ea1, 0x5ded006c, 0x5b508fe9, 0xb3701b57, 0xfca0b3da, 0xc9dd232e,
+    0x2fb5fa79, 0x71abe36f, 0x750bb2e6, 0xc071cb50, 0x4f4ac1d5, 0x019f6936, 0x08313424, 0xffa3e97b,
+    0x14b5a701, 0xe564d2bb, 0xedd6390f, 0x414ccb7b, 0xb6eb5d8b, 0xd6338ccc, 0x28e0c91b, 0x5ad6cd45,
+    0xe422b732, 0x48dbb8e2, 0x246315d8, 0xb1ffddb0, 0x46591263, 0x3d03097c, 0xdcf5e67c, 0x58cc3642,
+    0x566d2ee4, 0x79f7ac12, 0xb34bdd21, 0x31c1d7d9, 0x0185df04, 0xa8bc04ae, 0xe53613c1, 0xf5c799c2,
+    0x7f56d58f, 0x22a1c925, 0xb8f01e8b, 0xa41bd591, 0xac0c49ae, 0xbd49105f, 0x2e5fc0da, 0xf0394e8a,
+    0x85125602, 0x3abb10c0, 0xde88fba9, 0x4e925af5, 0xb86b6ea6, 0x2b308dcc, 0x4119fc89, 0x3ea21b1a,
+    0xa4ec7fd9, 0x3141df0f, 0xac3b10a1, 0xeb28d5c0, 0xbe0fbff6, 0xcdd2a5ee, 0xb57fa8d5, 0x454d27b1,
+    0x81c3b627, 0xc88a4c30, 0xa646776d, 0xaab979e9, 0x1d3b66a6, 0xbe51bf0e, 0x26a56f7a, 0xe694b7d6,
+    0xcdcd5ac0, 0x1b58be44, 0x8a192c4c, 0x93d3c6ab, 0x05aab4d7, 0xd1665a80, 0xf71ff232, 0x843a302e,
+    0x487a29a3, 0x60ff5d63, 0x268df64a, 0xa24298c2, 0xdcdca330, 0xf2df2385, 0x369eae16, 0x7283cfd9,
+    0x756b2008, 0x1fef6d7e, 0xdd123a68, 0x737c6016, 0xb03bd110, 0x9f6cc8a7, 0x5358bf6d, 0x0a4e175e,
+    0xe76b35de, 0x229a891a, 0xec71c3cf, 0x9a1aa47c, 0xe3fc7cbc, 0x535e63bc, 0x6d014aa0, 0x5e5cbe4a,
+    0x5cb71ab6, 0x871920e4, 0x2809f934, 0xecb64d9c, 0x139b4666, 0x2a6ad12c, 0xacd84388, 0x72487459,
+    0xa17b5b31, 0xb38a2e9c, 0xd7330a58, 0xcfb9cda7, 0x7db236bb, 0x1dac55e0, 0x9ba86f79, 0x5b1cf4a5,
+    0x31f8c5cc, 0xaa647742, 0x9ebcad8e, 0x63b1b8a0, 0xea0f04eb, 0x4d5cfec6, 0xaccda044, 0x0c366f71,
+    0x37ce90ea, 0x48390be9, 0xdbf571e9, 0xbcba7947, 0x66141511, 0x997a0a79, 0x86ea07d8, 0x17a0f165,
+    0x4f214bf0, 0x267e9b21, 0x97ab4803, 0x73f437c3, 0x1a62a073, 0x56e4a889, 0x492797e4, 0xab13993c,
+    0x35299162, 0x5d14feed, 0x5e3af558, 0x5972393e, 0x8fab978d, 0xff5ef36f, 0x4cfdb943, 0xdefc7714,
+    0x4cd6982a, 0xc25705ad, 0x1ad69c24, 0xe26260be, 0x53148b7c, 0x336d67a7, 0x5c3f8fa0, 0xc5e83582,
+    0x2ba3fe0d, 0xc055dc6b, 0xf228a05c, 0x396bad2d, 0x647a04c6, 0xaa8b0215, 0x64afe6fc, 0x277c6f87,
+    0xde296802, 0xdb370859, 0xbd6d708a, 0x716844e8, 0xbb4b78a6, 0x06a07f38, 0xec7a3bd1, 0x09e67e75,
+    0xe5f4ede3, 0x65da5801, 0x85e54d11, 0xaec38000, 0x0076954e, 0xd527ecf7, 0xdb0f01cb, 0xa5886c4f,
+    0x98a4eb57, 0x0281593b, 0x3e6273f2, 0x0018c165, 0xe9294d1c, 0x38a336e2, 0x3822c718, 0x390e0613,
+    0x41e81fdd, 0x946cb947, 0x88166ba2, 0x2874e9e2, 0x694d5db6, 0x577187bd, 0x166e898d, 0xb81ac9c1,
+    0x2d4df6ac, 0x5d6e130b, 0x30983e7f, 0x29ad156b, 0x4a1933f1, 0xf1a33c98, 0xc1877d30, 0x90f3e25f,
+    0xc17f478a, 0x887a0758, 0x831576e8, 0x84ed5ace, 0x8d2a1c95, 0x626dc77b, 0xd2aac920, 0xe1b7ca72,
+    0xc6c4567f, 0xbb19dc02, 0x8ae6b65d, 0x9fdfc09b, 0xdd22947a, 0x9e6f1e2d, 0x7404d1cb, 0x236f6b21,
+    0xf758fde8, 0xa81e98a1, 0x5ab0bede, 0xc84fd4b6, 0xce4a2f75, 0x503c531c, 0xdfe67fea, 0x070e2fc0,
+    0xa24831dc, 0x1c47a660, 0xce3d3985, 0xdeb11185, 0xcfb727d8, 0xf4ce7155, 0x1932af4c, 0xa2f0c706,
+    0x9e8223fa, 0x3ad56a6a, 0x0c3a8a21, 0xd7782d5c, 0x528642b7, 0x92b3eb2b, 0xc2ac4bac, 0xa279d6ef,
+    0xe32307ae, 0x05cf61dc, 0x8f0f8c45, 0x1cf2bd08, 0xa3a052af, 0xfc30d84a, 0x611ece7c, 0xe979e831,
+    0xf93d5dad, 0x16bedc94, 0x62e53b31, 0x3635249b, 0xb20a6b93, 0x2796a108, 0x7cada059, 0x1921b109,
+    0x6439a324, 0xba127edf, 0xba16fd2e, 0xea289a20, 0x30fba921, 0xfddae7e4, 0xfe30e4bb, 0xf4ce5000,
+    0x7e5346f3, 0x809025f1, 0x8cfd204a, 0x45d200c3, 0xe7d9dea2, 0x16adbf77, 0x4b60bd93, 0x9d62eded,
+    0x7a0aa8ce, 0x19d6a07d, 0x0e3cc358, 0xdab84adb, 0x2a8a60ea, 0x534e82d2, 0xaadb3227, 0x887044eb,
+    0x221fe1e8, 0xca3a3b64, 0x3916a8dc, 0xdd3b39a8, 0x92f6914c, 0x320c0e02, 0x8e4d666b, 0x81c41e8d,
+    0xee65ad49, 0x2f3376b4, 0xdc48e162, 0x7e8e9609, 0x62ca1d13, 0x2355311d, 0xce1bf2d6, 0x82feac8d,
+    0xdec32477, 0xa899b21f, 0xcf09f03c, 0xafa6395f, 0x5c9e0add, 0xc070c710, 0xd5b4f64f, 0xc90458ad,
+    0x5854cd9d, 0xc71a8b9f, 0x79871900, 0x78dc0c3c, 0x9a7b876b, 0xb5165464, 0x2a5cfc5f, 0xe08254ed,
+    0x5091bf7f, 0xa5b27058, 0x9c6825d2, 0x2bbc39fa, 0xd138b00a, 0x0aa93d78, 0x6631286b, 0x6f72b966,
+    0xead0f87d, 0x615ea03f, 0x73ee0bfe, 0xcab8ea7b, 0x62d7bc45, 0xcaf703a8, 0xc67f2204, 0x9a6cb3ae,
+    0x6a6b8181, 0xb66ba085, 0xada74b0f, 0x6dbbed3a, 0x255a81d5, 0x4a5bec1a, 0xc48cbd7a, 0x057e5612,
+    0xaa714335, 0x558352f1, 0x7be0608d, 0xc1dc2510, 0x39d8446e, 0x0b490bbe, 0x6b15257d, 0xc54ba43a,
+    0x00000000,
+    0x0e9d32af, 0x9a35ab30, 0xca11b7fa, 0x52f429eb, 0xdb41549c, 0x2ae0c5c1, 0x9af02162, 0x187a62f9,
+    0x49537f7d, 0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0x3fffff2b,
+    0x00000000 }, /* 10**-00000001997919072202235028084222227067626435679102811305581536549860454160237\
+                          91284464999687699590596063486154228923591770023865308670443474450259602571264 */
+  { 0x00000000,
+    0x7638d725, 0x63fdf91d, 0x8ba50e4b, 0x0dc8c28e, 0x86d7d59f, 0x8b064d78, 0xe3b1da15, 0xcf4a7e8f,
+    0xa04a0404, 0xea9721a4, 0x031e9520, 0x35a904b0, 0x62c71acc, 0xe147104a, 0x992a1c1a, 0x3080d1b0,
+    0xb172cdcd, 0xd62065a5, 0x24b89869, 0x3f96b8c9, 0xeded7cae, 0x6d2a7f2e, 0x22700de6, 0xe6b95fa0,
+    0x63375b27, 0xa1e1e0d8, 0x572d7e7e, 0x37c86240, 0xa2582715, 0x1f13e47f, 0x83f3b620, 0x21072f9a,
+    0xca00e34d, 0x6d3c8284, 0x1dfc9319, 0xc779d41e, 0xf3b21e14, 0x9f7d8d17, 0x9007045a, 0x0234a954,
+    0x99063d19, 0xc9136096, 0x12f82ac5, 0x2a9fe5f8, 0xc6c18fc2, 0x65e742f0, 0xc0761bbc, 0x7563a13a,
+    0xb606090f, 0x93e2d1f6, 0xad73d632, 0xcd2fffc7, 0x51390503, 0x08cc2da2, 0x1e21fc78, 0x48024848,
+    0xc046d17d, 0xa0b9f908, 0xf1a03195, 0x0b41165d, 0x05b01513, 0x14bada9d, 0x7176f7e2, 0x404d7291,
+    0x4f29bfdc, 0x9025cb98, 0x30164f5b, 0x188f9b78, 0xc356634d, 0x4c9bfa01, 0x62862371, 0x6c523ed9,
+    0x58381c0b, 0x09f6d0e8, 0xecc43b2c, 0x7d2ac0a4, 0x222ded49, 0x87daf6f6, 0x9416cd45, 0x446adb89,
+    0x4eb2a88f, 0x7b411620, 0x0318805f, 0xfbb352b9, 0x871edd12, 0x808edbc3, 0x356a1bd4, 0xc6cf575d,
+    0x85a9dfd5, 0x96c61375, 0xf7efa7aa, 0xa039576a, 0xbbee4c85, 0x85d2b8f7, 0x521c4491, 0xb142a5d0,
+    0x3305b6db, 0xec3ca68a, 0x3ccf8ce3, 0x0595bd96, 0x5e37faf3, 0x87492e30, 0x1d24a9d3, 0x10862b53,
+    0x7a012fb4, 0x2baf09a3, 0xe596cd6d, 0xd1a35cb1, 0x00ec00ca, 0xfc79d652, 0x7c6004a7, 0x6d8fdf42,
+    0x5489f8da, 0xa072a8af, 0x5fc55614, 0x91fd9429, 0x88a1fd65, 0x5029a45a, 0xa1a25cf3, 0x1775f3fc,
+    0x0f1ffaae, 0xc172fa8d, 0x5bd46341, 0xee7c2f04, 0x64c9676b, 0x774fc7a3, 0x1d82e942, 0xfc00e136,
+    0x01442d80, 0x32f5b63e, 0xb76909b2, 0x5b3647c7, 0x3520fb35, 0x05a56f95, 0x466580e2, 0x45c136d6,
+    0x4aa82c21, 0x57f602c9, 0xf6810444, 0x27c17630, 0x9853a82c, 0x0ea7555a, 0x5afc6077, 0x3556683d,
+    0x4d5ea9cb, 0xde7f02d1, 0xdef0f4c1, 0xef5938ed, 0x66594789, 0x73832b0c, 0xa14f592a, 0x098dfb60,
+    0xabc0efbf, 0x6179f133, 0x2dd5c934, 0x385a1d89, 0x018f829c, 0xc1d2e0db, 0x71873fcc, 0xc9b852c3,
+    0x7d16545f, 0x096d64be, 0x7c6f2cef, 0x6a3cec04, 0x289b8702, 0xf4dc310f, 0xad4e1483, 0x457784f0,
+    0x10218b4e, 0x19d866ba, 0xfaf29688, 0x5fd522f0, 0x1bc64326, 0x9d5a1342, 0x7899d22b, 0xd647cdee,
+    0xa111c8fe, 0xc5bf5bdf, 0xe50e7fbd, 0x2e3bf5f4, 0x2c442e27, 0xd73d5cbd, 0x844772a9, 0xe952edc1,
+    0x7a11d6ba, 0x37003391, 0x939eaa77, 0x5d2d3c00, 0xf853031c, 0x9ed65aa3, 0x980925b6, 0x0ecc0e0d,
+    0x211753b0, 0x60563b84, 0xbda7e0ea, 0xa4515462, 0xcdbe7482, 0xf42b9d88, 0xe7d24b27, 0x923cc696,
+    0x4d170a5e, 0x2a0ec3f1, 0x6596c4a8, 0x84b96905, 0xaf07461b, 0xcb245bb0, 0xbbde4c92, 0x0799337a,
+    0x78f8184d, 0x72f269b7, 0x784dadfa, 0x65616f7b, 0x8603a9cf, 0xd5592b79, 0x69a9ea43, 0x085976d4,
+    0x207585e1, 0x15b8ec52, 0x31eea067, 0xa9d9872d, 0x39fab49a, 0x2f008e36, 0xa9804c29, 0x4ed4d270,
+    0x85b8fc9e, 0x68b4fc50, 0xa64d7a8b, 0x980cdc42, 0xabe38fd3, 0xc7c8ef2f, 0xfc5475b3, 0x3d0de036,
+    0x7f4bf9f0, 0x9e535b4d, 0x7bcdf059, 0xac4eb5fb, 0x54fa5344, 0xabe96227, 0x0f0ee252, 0xe6d949ee,
+    0x8b768cba, 0x071c4452, 0x948e2848, 0x50b18cef, 0xe27ddd58, 0xdb89ebab, 0x84f335e3, 0xfeb9f426,
+    0x4626ce85, 0x867fdedf, 0x26400f95, 0x58a1d750, 0x9179d676, 0xd3c60e5d, 0x0111835e, 0x4dbcf2df,
+    0xb8a91fb7, 0x66ca4448, 0x5abfffb2, 0x15a2141f, 0x31937639, 0x8ccaf679, 0xabac8e4c, 0x4ff4e4fb,
+    0xdece77e0, 0xabb79b60, 0xddd0bf42, 0x67b28f4d, 0xeb0dfed8, 0x69712152, 0x6d010efa, 0xd1ce03dc,
+    0x2015fc24, 0x3003e115, 0x0075d905, 0x3275c0a8, 0x92b7c9a9, 0xba8172b6, 0xeea4b02a, 0xebbd00be,
+    0x0b0eed0a, 0x5aff6faa, 0x0f62b423, 0x4cc3470a, 0x88664ae0, 0x1d418100, 0xd58c3802, 0x92a69b82,
+    0xa467f24e, 0x5427dc1a, 0xfd67b469, 0x6e691cf2, 0x62426183, 0x5ed0d19e, 0x804e2504, 0x5f2bc984,
+    0x19bc4fa2, 0x4c5072ea, 0x3b0c25ef, 0x408be16a, 0x1200a8b9, 0xb8b2b057, 0xc9e74e3f, 0x992d83cb,
+    0x27a6446d, 0x2b418a84, 0x2f9ebc4f, 0xc884eae8, 0x6cced324, 0x71e2720c, 0xf9e65b23, 0x416349c4,
+    0x79db9b8d, 0x3bb30af8, 0x47f476ed, 0x25fa2094, 0xa371a98b, 0x8e5e6355, 0xb708f1c6, 0xf6690e17,
+    0x99a4f150, 0x0eb1df4c, 0x638b17f3, 0xb6124338, 0x9d61b610, 0x7361af45, 0x8f162b33, 0xc3476629,
+    0xd1d2cb65, 0x819233d1, 0xbe9bb419, 0x29ef7c03, 0xa279e222, 0x7b286d45, 0xf5ebe7ec, 0x600ede24,
+    0xbac5fbc7, 0xa625070d, 0xecb77821, 0x79876785, 0x2a73ef40, 0xc7219d40, 0x48d04ff1, 0xcf519b89,
+    0x2c3f58cf, 0x743ddd0e, 0xef91981d, 0x6bd1e630, 0x495613be, 0xb3baa85d, 0x71ff1e8d, 0x8a5bf1d8,
+    0x47b9a51f, 0xc0022bed, 0x2196a7d3, 0x5cc826ee, 0xc8c8f567, 0xdf6002ff, 0x96877c92, 0xcc7c3714,
+    0x7c1161a5, 0x39cc2b3d, 0x66796615, 0x97a7f92f, 0xbe0d4f66, 0xd303f026, 0x313732e4, 0x4980ef2c,
+    0xc2059ad0, 0xebd2925e, 0xfda5209e, 0x31ee47a2, 0x5209b85c, 0xe848785c, 0x692743b8, 0xef013d58,
+    0x1baeb00a, 0x7c105316, 0x6b76ce40, 0xa472e740, 0xe0144d28, 0x07753c50, 0x9f1361f2, 0x6f1977ae,
+    0x38dad118, 0x5722f0b6, 0xa3d86171, 0xc73543a1, 0xf278a334, 0x14b5b0e6, 0x34c5bd27, 0xd235c331,
+    0xd9a96117, 0xa86e7fe1, 0x8f36d630, 0x87e8d61d, 0xb5d4a4a4, 0x4f1b975c, 0x653c6b0f, 0x09142fd8,
+    0xebd78d2f, 0xd50c8eed, 0x2e3878dc, 0x07f5335d, 0xfd0bcf3d, 0xaf90b705, 0x49237c65, 0xfdc787ab,
+    0x480e9c69, 0x27834157, 0xb6adfa18, 0x505b207c, 0xfbcba451, 0x0ae36682, 0x3fe96c8b, 0x46c47768,
+    0xcfcff1d6, 0xb331e4e9, 0xe9d3c8c3, 0x37a3f1ca, 0x8a9dbe9d, 0xb1540a17, 0xdd0b17b7, 0x848b5f33,
+    0x4fa1434a, 0xbef2c180, 0xf72c8ae7, 0x774cd409, 0x3f09bc57, 0x209dc1ae, 0x30d39c0f, 0x9190b3a0,
+    0x5558b9a6, 0xb8d309cd, 0xd7ed34f2, 0x0e3101de, 0x71ee5c40, 0x1997d4c3, 0x239baa11, 0xaf7c707a,
+    0x9152956f, 0xb21b9c00, 0x9d55c25d, 0x6aecc5de, 0x5abdf886, 0xef9f6380, 0x001dc85d, 0xe989018c,
+    0x2f5f34bf, 0x1079073e, 0xda9055a3, 0xa5e8fe3f, 0x30c73654, 0xac31f440, 0xe2b9e2ab, 0x256d4465,
+    0x78895270, 0x6cabd38c, 0x28faeecc, 0xb0b3c65a, 0x8e6a8d67, 0xfa74d3b3, 0x19b0df51, 0xd3175bcc,
+    0x58ff5ad7, 0xfb2536b1, 0x0cdc538f, 0xea20fc50, 0xebbc189e, 0xb8a90ce6, 0xea2d3bf9, 0xf185dfd2,
+    0xa6b7f09e, 0x5a86e432, 0x51c8e10b, 0x47f200bc, 0x5a83979e, 0x2dca8412, 0x4ec1272e, 0x80a72842,
+    0xab61225e, 0x73afd714, 0x3093881d, 0x997eb364, 0x680ca3a8, 0x61116e51, 0x475cc134, 0x5db6cec0,
+    0x5e2165f6, 0x69446795, 0xc58499b6, 0x2b5b632f, 0x59da7d6a, 0x08a3353b, 0xe90c8d8b, 0x9907fc2f,
+    0xf9b839ca, 0x273b2762, 0xd61a87e3, 0xba6e70d7, 0x15d56b4b, 0xc45da042, 0x3500522c, 0x370c223a,
+    0xa9989da6, 0x20f25dd0, 0xac14c232, 0x16453d3f, 0x412480f8, 0x9156bfce, 0x265c9081, 0x8680e60c,
+    0x110bb2ec, 0x1726946d, 0x32039db6, 0xb2a1141a, 0x062ae215, 0xda3d4f0d, 0x52b7351b, 0x65618234,
+    0x54fd2602, 0xfed450c5, 0x8124d419, 0x45b3ec98, 0x53511d86, 0x2ffa5ef5, 0x58df8493, 0xb225adf1,
+    0xa8d3fbaa, 0x9ca6888e, 0x4aa7f62d, 0x6d51392c, 0x1723afb2, 0xc85d06ff, 0x48c64b88, 0x0f6dbffc,
+    0x2eb70a17, 0xc941078e, 0xcf1af0b4, 0xca113875, 0xd8bc23f0, 0xbe34f864, 0xa750d938, 0xa6eb57c8,
+    0x47dd76cd, 0x2be21761, 0x9f73469d, 0x2a242dbb, 0xb6bcef3b, 0x580e3398, 0xdba6d2b8, 0x59579d29,
+    0x41d551fe, 0x40b6eb3f, 0x880e3b3b, 0xdee2eaf7, 0x33722d15, 0xbc7ce784, 0x71bce68d, 0xb9cafa23,
+    0x5f94378e, 0x3b9cddfa, 0x2a68633a, 0x24de8635, 0x61207874, 0x0f82b972, 0x73efeb12, 0xdf1ec8bd,
+    0xb9684420, 0x68b529f4, 0xec9d6d3b, 0xa6e710cf, 0xcaa0e962, 0xaf894fc6, 0xc47f7caf, 0x0c2fa2de,
+    0x1c9f625b, 0x264c3122, 0xb98926ca, 0x4a456973, 0x64f27efc, 0x2e3e2f30, 0x1b270d11, 0x82b656d6,
+    0xacbe4206, 0x1952f4e8, 0x06331732, 0x3408fd13, 0x549e8f47, 0x13fd19a9, 0x9baac488, 0xaca5f270,
+    0xa55889e7, 0xeed5fe32, 0xdcd5c533, 0x9b93b7e0, 0x271200c4, 0xd3d25e43, 0x5d9f398e, 0x3fc16191,
+    0x275f1172, 0x7020653f, 0x847987f6, 0xde922ee1, 0xba775c17, 0x383f650f, 0x58f6bba1, 0x789614f8,
+    0xba31a4ab, 0xc04d8559, 0x018dd239, 0xda02ebe0, 0xe48eacb8, 0x91632207, 0x024a7a8c, 0x63043b4f,
+    0x265576dd, 0xe56b415a, 0x1975ddb3, 0x4fd26e8a, 0x6c62b32e, 0x8d4fb764, 0xe5bc0322, 0xcb3ca192,
+    0xee1e5c29, 0xdb0c5f3f, 0xb6623c1e, 0x88215fdc, 0x1318710a, 0xc0a21f57, 0xac42dad3, 0xef229bab,
+    0x01dcd639, 0x35a3d909, 0xc339a02e, 0xe167768d, 0x7baf7e9b, 0x32de062a, 0xd21ccef0, 0xf145513f,
+    0x7fa9ae9d, 0xb7c165ee, 0x235ef2b3, 0x502ef618, 0x9f3bf96f, 0xb4db7345, 0xb6135529, 0x611d1b96,
+    0xe7961e9e, 0x034b5118, 0x12ebf3a3, 0x490aec7f, 0x8c826bbb, 0xaf27b2fb, 0x1bfe5999, 0xc41ae21c,
+    0xbe418e23, 0xfecd05f4, 0xc7e17b28, 0x02e3edd1, 0xf62dd90c, 0x27810228, 0xb2c13a57, 0xb9ced06e,
+    0xaba624d2, 0xe68f55c3, 0x918c126b, 0x2c17fa61, 0xe711832c, 0x7aeb53a6, 0xac963c3f, 0x12f96aec,
+    0x7df67f7d, 0xe1120c36, 0xb0586f66, 0x28f90da6, 0xf351dc48, 0xb02877af, 0xa45bfc62, 0x621226fa,
+    0xfcc1cdf8, 0xb1554fb9, 0x1c78064a, 0xc7d5c9e4, 0x8d48a49c, 0xb1c84a98, 0x38759745, 0x87ffc9d2,
+    0x1c1582af, 0x9a3ad1ce, 0x0896b5d8, 0x888f82de, 0x38cb8383, 0xf3b8f77d, 0xfbc79910, 0xd96e197a,
+    0xde711972, 0x5d575e07, 0x257aa9b8, 0x7ae429d2, 0xf348baf9, 0x8ec1ded7, 0x377fb761, 0x1621b8c1,
+    0x91849787, 0xbc68790a, 0x0c30ad3b, 0xd7c34093, 0xc9c49197, 0x5f3d3f1a, 0x65966fd3, 0x76804372,
+    0x251de18f, 0x8563e319, 0x7f740590, 0xacacf7b3, 0xb9003456, 0xc438ab78, 0x2ead82b5, 0xa446679e,
+    0x3b5af978, 0x5d91df35, 0x51146902, 0x0af838cd, 0x2913cbfc, 0xde7e7ad6, 0x373b661d, 0x665db395,
+    0xe743ab0b, 0x5c168477, 0xf3cb6447, 0xc480ae23, 0x8e19a32f, 0xff29264f, 0x7a9e8ff8, 0xd1247db2,
+    0xeff859d0, 0x7cf99768, 0xb0b1c182, 0xf31eb575, 0x57e6a399, 0xa8de0868, 0x09d54c77, 0x9c7fda08,
+    0x85dbcd34, 0x4acb6936, 0x81cc22e1, 0xdbe3c818, 0xfb80e9f5, 0x7b5da88b, 0xbaf1277b, 0x962729f6,
+    0xb821cee9, 0xe8328dc3, 0xe86b04a0, 0x7d1b1737, 0x58b6cd60, 0x23271fde, 0x301cc4a2, 0x050f41a1,
+    0x7f74e296, 0xdeb45e45, 0x53e8131b, 0xd05d05b4, 0xbde26fcf, 0xbd09996a, 0x173b843b, 0xb94388e7,
+    0x749e3e9d, 0x5fc7beb4, 0x08e8effd, 0x1f0fee60, 0xb3f746a3, 0xdf8a9500, 0xf5d49074, 0x0d01bf45,
+    0x58304f36, 0x148eeeaa, 0x771ce5c0, 0x0cd59fe6, 0xab4a5f08, 0x334c6767, 0xb1d6e5f6, 0x1fa9f899,
+    0x6705b56c, 0x9824b642, 0x24960b28, 0x58e23644, 0xdf61b828, 0x27ca6feb, 0x787d6b3c, 0x891c4c47,
+    0xd0b1bce8, 0x1aa963e2, 0x50086235, 0xec537657, 0x49e2f945, 0x525f4445, 0x6bcc4244, 0xa2dfb765,
+    0xf1efcfef, 0x33ea57e0, 0xbd741f2c, 0x90409946, 0x6ff09c1b, 0x59eada3a, 0xc2423c8e, 0xae1c77ec,
+    0x90ac6863, 0x2214126d, 0x5b286da6, 0xce38102f, 0xb3cc7798, 0x397bb91d, 0xf3429bc0, 0xfaf267df,
+    0xb696a97e, 0x5a6bd239, 0xf1708bce, 0xa54e4159, 0x9009ff9b, 0x99d6e810, 0x31515c26, 0xd8d96ae0,
+    0x1b57b28b, 0x824e26fe, 0xfd62c7fb, 0x20683436, 0xde678d3b, 0xe3739fdd, 0xb305d885, 0x5a4346ce,
+    0x36301293, 0xcda4ae0b, 0xd3ea5b37, 0xa9ed634d, 0x100467fc, 0x94d6c6c0, 0xd74641bd, 0xd1469135,
+    0x790beabc, 0xa0ebd908, 0x24507a56, 0x1366dfd8, 0xec125afc, 0x1ff5ec5c, 0xf620eedb, 0xa31bcdbc,
+    0x107a4b28, 0xefc7df19, 0xe75fd280, 0x226bd9c7, 0x98402686, 0x7313552d, 0x1e8b6b33, 0xf0988f09,
+    0x0a30747e, 0x15600a0a, 0x4b6a8071, 0xc70fd786, 0x8faab854, 0x501dc0a2, 0x0a0f262f, 0x72927076,
+    0xa03973bb, 0x53207b10, 0x5dfbf1a3, 0xeff6627f, 0x2b629d3c, 0x239c9b40, 0x9aeaf752, 0xfe645cb3,
+    0xef573414, 0x0a40db89, 0xfd9a62fc, 0x3ef90fda, 0xc7849ff1, 0x419b244f, 0xe47031b2, 0x12bac2b4,
+    0x9f45a22a, 0x526b11f2, 0xc6269ebe, 0x2699f284, 0x0a77fe15, 0x6a9c6870, 0x25624fb3, 0xd74899be,
+    0xdd259c48, 0x1afd5d9d, 0x65868d0d, 0x5182f6f5, 0x921dd49a, 0x843994e4, 0xb8cd3c67, 0x3f20bb8b,
+    0x00980993, 0x0b9e8137, 0x42042090, 0x4fec200f, 0xf76d55aa, 0x86705824, 0xdfa0a603, 0xbdced0f0,
+    0x3e0e10c9, 0x23d08c99, 0x75501c19, 0x87aca522, 0x94ff7a8e, 0x108b4460, 0xb022d473, 0x126bc5e5,
+    0xce02ba89, 0x9ac64592, 0x19f1f49f, 0xa9b7e334, 0xb3a2778e, 0x65b67ef7, 0x6e18506d, 0x7dc3c26a,
+    0x522f174b, 0x218a7c4c, 0xc6f99c99, 0xa80730da, 0xf7bccb4e, 0x78cb6251, 0xd67edab4, 0xc38f75ef,
+    0x58b504bc, 0xe81aaa37, 0xbc19a07e, 0xcf3ac743, 0x0ab45c07, 0x4570fbd3, 0x0e78b8df, 0x3dcf9e30,
+    0x64ec8a54, 0x0971ea23, 0x0173b041, 0x6c593b63, 0x25e22b04, 0x3b37abea, 0x6d634554, 0x0891c3ff,
+    0x8f45497c, 0x17fb8490, 0x6a90f156, 0x8469de5e, 0x1614f03f, 0x3afe1b06, 0xedf7c1fd, 0xcfe59f33,
+    0x50f25e68, 0xa3cfa712, 0x5ffd19b4, 0x5876e4b4, 0x917af41a, 0x625b8684, 0x94514e2f, 0x9a484166,
+    0x2bb5ea4e, 0xe915ec9c, 0xfe75d80c, 0x0590ceda, 0x6d5339f1, 0xe1682054, 0x4e56bd1a, 0x868053cb,
+    0x6bfd36e2, 0xca025913, 0x50185337, 0xfb58f20c, 0x569b30c6, 0x97239109, 0x9421c875, 0xfa5db245,
+    0x89bbf366, 0x563770de, 0x698279c8, 0x131887f3, 0xa019d52f, 0x8b9f70f6, 0x05b7dfa6, 0x238da75f,
+    0x33f6fa96, 0xe61e807b, 0x9be497d1, 0x068ff995, 0xc6257639, 0xe4b2111c, 0xbcfd4cc5, 0x4cf590c9,
+    0xd176fa5b, 0x8cecf094, 0x2c152b7a, 0xa37fd8b3, 0xef43d985, 0x74d61789, 0xdf22eb95, 0x24cefddc,
+    0x83886538, 0x945c08ca, 0x00827864, 0x3bde2504, 0x2ff82846, 0xd2db5e29, 0x4065b8dd, 0x9eea1d2d,
+    0x00000000,
+    0x074e9957, 0x4d1ad598, 0xe508dbfd, 0x297a14f5, 0xeda0aa4e, 0x157062e0, 0xcd7810b1, 0x8c3d317c,
+    0x24a9bfbe, 0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0x3fffff95,
+    0x00000000 }, /* 10**-00000000998959536101117514042111113533813217839551405652790768274930227080118\
+                          95642232499843849795298031743077114461795885011932654335221737225129801285632 */
+  { 0x00000000,
+    0x35ac4b3a, 0x8c9c5046, 0xf3429733, 0xff3e2660, 0x3597d4ce, 0xf1fb1dba, 0x875d63d3, 0x3f5b4cb1,
+    0x221a0b91, 0xf30efcda, 0x2107e27f, 0x99d9d5b0, 0x51ae3f18, 0xcc1f599a, 0x2c749ade, 0x9a062b06,
+    0x250508b0, 0x6840453e, 0xc08ead9e, 0x694f6644, 0x5ee667d4, 0x20c14230, 0xd11e7152, 0x1c809ed6,
+    0x3270bfce, 0x4dbb4a8d, 0x827a6f6f, 0x818c4796, 0xb770f160, 0xba12458a, 0x73e53e2b, 0x88dfd392,
+    0x6542d137, 0x1b8857e1, 0xe7293a1d, 0xc3d8db8c, 0xd9553c62, 0x62039bed, 0xaa106b98, 0xc97e788d,
+    0x046ccc6c, 0xe2a3474b, 0x97d47e6f, 0x380bdd02, 0x03316edf, 0x7e290875, 0x7f6edc56, 0xf472384f,
+    0x17db766e, 0xf580efe6, 0x0463d43d, 0xf64191ff, 0xd33ce66e, 0xbd21ce33, 0x337bd01d, 0xa9d09679,
+    0xc3045c95, 0xe56cfa72, 0x250bc99f, 0x08098801, 0x12c67305, 0xf1f94f84, 0xd60de597, 0xece2627e,
+    0xc593f429, 0x4c70f57e, 0x7c0715d7, 0xe70eeed2, 0x5806b12a, 0xdf9c0338, 0x9b589dac, 0xf39d8980,
+    0x3a63df3b, 0x1e9d553f, 0xdfdf56f9, 0x0ee180ee, 0x69791e4d, 0x5f848d68, 0x6be622b0, 0x4e846d6d,
+    0x1f62873c, 0x2096f6f9, 0x1ff16165, 0x9fb0f98a, 0x585b64ab, 0x9769aef1, 0x5c8f05e7, 0x4ce37bbc,
+    0xbdd16994, 0x5652c94a, 0x66ecdfc5, 0x190cf947, 0x04ea53aa, 0xaa1427e2, 0x9807bd94, 0x5137e5d0,
+    0x1c09bb7e, 0x2eabb866, 0x44224761, 0x53fc26b3, 0x5da7467e, 0x3a4bc2c2, 0x42812471, 0x0b00eae5,
+    0x018e63be, 0xe55901a8, 0x919e0af9, 0x268a1767, 0x317c2068, 0x22da5d05, 0xd5a19a39, 0x9a878454,
+    0x3de8b41b, 0x01b39a66, 0x177e6ca5, 0x03534c00, 0x03d32d52, 0xdd58cb85, 0x43bb7568, 0x722a6148,
+    0x72aa6791, 0x1d05daad, 0x9972751c, 0xc3a5f2ce, 0x47e2398a, 0x5a67c31a, 0x6c1fc830, 0x7ecacae7,
+    0x2c44849e, 0x10d59b17, 0xa62a3dea, 0x4c8e8c39, 0xa4ecd8c4, 0xf77e2533, 0x9c2a1afd, 0x186076c9,
+    0x79477d49, 0x1c30efb6, 0xb189c67a, 0x9b19a07f, 0xba171b3a, 0x55f7ada4, 0x74bdfc02, 0xa439c4a9,
+    0x07098d50, 0x4b7cf5ab, 0xe3d3ae01, 0x88f52f9d, 0x829fbd58, 0xf3b2894d, 0x7ca942c2, 0xe9951aee,
+    0xf237ef04, 0xdfe91931, 0x9f485d93, 0xe7729999, 0x13c9abc1, 0x35861616, 0xb6e07990, 0x64e28c83,
+    0xe09ff1a8, 0x2e4264cb, 0x9de343c3, 0xfa560b6f, 0x6205cb7b, 0x107fa7de, 0x1fe69581, 0x5dde9e94,
+    0x5dd92bf8, 0x02a86349, 0x2fb815e0, 0x7f814681, 0x72c440e7, 0xe36dbc7a, 0x1d4d93c9, 0x792d059b,
+    0xa32e8050, 0x8b7845fd, 0x223e120f, 0x35b66d9f, 0x2b8d09d8, 0x9ff829cf, 0x5cde4ae6, 0xfaa0391d,
+    0x1f3eea84, 0xc018ccfb, 0x769ee067, 0x33c4bb27, 0x1e51f710, 0x4fe169f6, 0x85f3e251, 0x819478c0,
+    0xd8b90d31, 0xc39eec31, 0xb60a88da, 0xec2c2735, 0xd8b4dc6a, 0xa4e3aef8, 0xaa9aabfc, 0x9c9b4800,
+    0x45c3d939, 0x0af5de1b, 0xc4c54752, 0x623aa745, 0x30be0a37, 0xc9586491, 0x7c5d8149, 0xa4771dce,
+    0x431c6fa4, 0xbddfed10, 0x1a5ab45d, 0x862f0471, 0xa692176a, 0xfcad3700, 0x6e7a23de, 0x8ab120b5,
+    0x7f768342, 0xc8f8be8f, 0x965b7d45, 0x82b1d66e, 0x722420e0, 0x72aa6b6f, 0x88a6a497, 0x81ebdfda,
+    0xbc001ef9, 0x365e17cb, 0x28f80a61, 0x652b4c99, 0xd2ad7316, 0xe0e63ccd, 0x95bba6c6, 0xde8e12e8,
+    0xfb06110a, 0x3516908e, 0x1669c4d4, 0xa779758f, 0x6a7aeac8, 0xb1175620, 0xbad33d4e, 0xb132aaf1,
+    0x3d5a9962, 0x20c32481, 0xdad30de3, 0xb1f5dddc, 0x92cf8038, 0x4f4d4314, 0xd1662c38, 0x214b9be9,
+    0x3e380bd5, 0xdc38b4d4, 0x5f7374ca, 0xcb2526f8, 0x3becc1e4, 0xdf1bf39d, 0xe35b7e80, 0xe131c4d8,
+    0x8420fa6e, 0x62e72d3b, 0xc6595727, 0x1a499227, 0xf004dd56, 0x4b008f09, 0x39708368, 0x410604f8,
+    0x939af898, 0x5e5f116a, 0x6b959433, 0x0ff1dc82, 0xb306bfdd, 0x21f40267, 0x32142974, 0x12caabea,
+    0x5e8658e6, 0x8baa857d, 0x78c0edaf, 0x3bdd9bb5, 0x6a5d4a80, 0xbe32f5a7, 0x20291358, 0x5dcb241e,
+    0x1f0ccb9b, 0xefb80355, 0xa00b59a0, 0x70e08193, 0xdcf36100, 0xfb95cd8c, 0x3055d503, 0x8aca9d5e,
+    0x1ebaaa52, 0x1d9ddacb, 0xd95d0961, 0xbf466a3a, 0xe8a80ae6, 0xf61416d0, 0x847724bb, 0x68516b06,
+    0x82e099e6, 0x111de107, 0xc71ff775, 0x725affe6, 0xf0012cbf, 0xbbc03faf, 0xed1b9eb2, 0x9ae392f1,
+    0x73592d62, 0x838860bf, 0x9101fe76, 0x1621826d, 0x6581060d, 0x5110f220, 0xb5b67648, 0x10ab1e8f,
+    0x7eb7c9a5, 0x1d64694c, 0xe2800fcc, 0xd349dee7, 0x423cfc34, 0x9c3e065c, 0xf075e321, 0x41b17c38,
+    0xde227ebd, 0x62883163, 0x3f8daa47, 0xad0d813e, 0xa57e77e1, 0x1f2db986, 0x1a8edc73, 0x5d100ccd,
+    0xfa8606b2, 0x66bf4f17, 0x45f13726, 0xa840e732, 0x5b416c55, 0x4f6fc37b, 0x673ba056, 0xb8738b09,
+    0x03b811f6, 0x360b7f56, 0x4f7475dd, 0x81167acd, 0xfe02bceb, 0x4312b7f0, 0x73f90f0c, 0x2b294072,
+    0xf0ae17c0, 0x7e1e6bda, 0x6115427d, 0x3fbedb33, 0xec1d1458, 0xa5a26208, 0xb7e58a41, 0x6509fdfb,
+    0xf3f2696f, 0xb287e5ca, 0xcbd82fcf, 0x8f811925, 0xf4b94a54, 0x76ec9637, 0xf45cf84c, 0xc59e2f4e,
+    0x4f597fd2, 0xafa5bfee, 0x36968aa1, 0x8018600a, 0xe2346b85, 0x581f39b2, 0xeacf1533, 0x8f118584,
+    0xa8f4bda2, 0x5b5cfba6, 0x62746b3d, 0x67776043, 0xe0a915e5, 0xf71b25ed, 0x86d91e7d, 0xa69cd40a,
+    0x8bb5ef14, 0x1a073d86, 0xa214cf27, 0x0cee7e16, 0x5a178c35, 0x3302951a, 0xdb2c435a, 0xae7c8eb7,
+    0xabe408af, 0x9a97adec, 0xcddadbdb, 0x9f54a776, 0xf9fe9017, 0x671aecda, 0x903dabf2, 0x4ea115a4,
+    0x31bc25d9, 0x6b2c656d, 0x21041c8e, 0xe6947ac5, 0xf6d3e628, 0xdda582bb, 0x7656f1cf, 0x6a618349,
+    0xd3b3457b, 0xd8e7a595, 0x87a874b2, 0x1b919b93, 0x90eaa5a7, 0xecc956a5, 0xa0d453c4, 0x9cb79600,
+    0x25865037, 0xfd2d197c, 0xd9f28a65, 0xd0ce2c32, 0x9e754dfc, 0x4df8b9e2, 0x8c13cf5c, 0x7640bbfb,
+    0x010cc97a, 0xfdf01f75, 0x16e97aa8, 0xa4a21b43, 0x718b0ba6, 0x1c8287a1, 0xd98d9bcf, 0xffeeeb9e,
+    0x1ecf9088, 0x997a0fb9, 0x2972afae, 0x0d85b543, 0x42e8e5fb, 0x8b287d43, 0x619b4289, 0x79d9115d,
+    0xbfed4219, 0x586ec810, 0xfb636213, 0x88a7c0d2, 0x3f232168, 0xd8a1d65a, 0xa5452a11, 0x9cfa916d,
+    0x1167a818, 0x2ac2fee3, 0xfa1371af, 0x75bf8f33, 0x7d8d3abb, 0x74ddaa04, 0xa66d3e7f, 0xf6f19c63,
+    0x9ba5f38e, 0x47d28408, 0xe02e997d, 0xb382e837, 0xccbbdae2, 0xe5d50e5e, 0x1a759ce0, 0x7b776364,
+    0x18d37cdb, 0x7a6ec725, 0xc8f58b4f, 0x814d97c7, 0x1d3514a2, 0xd538f15f, 0x0fb85b69, 0x986fbde4,
+    0x11fc0bf5, 0x558c845b, 0x4a6bb0f6, 0x9612050f, 0xfa5bb484, 0xfc0cc182, 0x771b31ae, 0x5a8273c3,
+    0xb1c0037d, 0x4fbdb28d, 0xb9b67e1a, 0xd4e11dac, 0xe1140c65, 0xb883f9e4, 0x3a291d8a, 0x4e39f2f8,
+    0x29d14de4, 0xf46fcf6a, 0x0c019155, 0x9a9e375c, 0x8568fbe4, 0xfa5b4523, 0x19e6a95b, 0x43399a89,
+    0x3982dddf, 0x8532b68c, 0x34cf57f8, 0x9e67def9, 0x31ada374, 0xf76492d8, 0x85a84e35, 0xb67134e6,
+    0xe45e275d, 0xfd9cc91c, 0x5e791891, 0x7791dfab, 0x84fdcc8e, 0x99200049, 0xe7e30d50, 0xe0b4e294,
+    0x9e6cacb8, 0x100316f3, 0xa96d520e, 0xde5550ad, 0xeeb4838f, 0x42181f33, 0xecf40cd7, 0xf150917d,
+    0x79ce7c59, 0xf3bafc3d, 0xf161faa3, 0x11c966c1, 0xb5cadf01, 0x855e09ca, 0x7b50edbf, 0x015909c8,
+    0x59594a33, 0x3eac03a1, 0xf9a50c68, 0xe631ee45, 0x110f7b48, 0x4fd01057, 0x93e44e95, 0x1451ed4f,
+    0x649cd943, 0x7d2a8bb4, 0xba1bd243, 0x89340982, 0x0f566507, 0xaf707b2b, 0xb8e8600c, 0x2d554577,
+    0xcf9d6eea, 0x495e5cfa, 0xd8192824, 0x23850db8, 0x4860fd5f, 0xebcfbb2b, 0x4e82cf2d, 0xcef61dcc,
+    0x82a3df9d, 0xef99bc24, 0xb1c7be04, 0xe6efb8d6, 0x6dacf338, 0x5c28e5a9, 0x53178176, 0xe153a107,
+    0x8b7483be, 0x8a7234e5, 0x9f34b7e5, 0xc4aa0ed9, 0x5af5b639, 0x102037ee, 0x20ead884, 0xaee493fb,
+    0xa8aae59d, 0x825fd975, 0x3ff75a00, 0xba0ad77d, 0xc924ee78, 0xbca62246, 0x3b2b7958, 0xeb1c5efb,
+    0x251c3634, 0x123c40e2, 0x9ea41afc, 0xf4c9bbde, 0xa05c9ab7, 0x5f1c3b63, 0x3504e399, 0x3642409f,
+    0x8dd25bbc, 0x8d0d1b30, 0xc0944070, 0x68e9ad39, 0xde574c9e, 0x879650da, 0xab8f796f, 0xcdfe4c29,
+    0x9bd30e48, 0x7122afd1, 0xe315aa41, 0x62713cb0, 0x9e00a96f, 0x8f1bdff8, 0x51c63b5f, 0x3381377b,
+    0xcef2cb5b, 0x1166ea3e, 0x7e0b9965, 0x2c15a3f8, 0xba451fcc, 0x9f0d299c, 0x1a0f65ab, 0xb1429d92,
+    0xcd42bffd, 0x4b49b459, 0x82d7f38b, 0xe9827e6e, 0xb8d91176, 0x2e9b6e43, 0xf21bea13, 0x3cd5a5d7,
+    0x162d8f5e, 0xcc314b46, 0x179ff886, 0xc97a8b0d, 0xd402be63, 0xb3b00fb7, 0x243ee0c6, 0xa341adc8,
+    0xb434bb5f, 0x31f26337, 0x1500fa42, 0x7928034f, 0xfe3f91a2, 0xd294145b, 0x62edf16a, 0x42d4f012,
+    0x558fc1b9, 0x408fdec4, 0xa4f47c00, 0x1c4b5ea3, 0x5d88c12c, 0x48c450a6, 0x6dfa9f34, 0x3a81e219,
+    0xca009488, 0x1aa08e91, 0x09abe372, 0x273029a1, 0x7a9ebe7c, 0xfa8c08d0, 0x65381e07, 0xaca72959,
+    0x8bfcc9f3, 0xaa23bad0, 0xe38bfd5e, 0xe4e2cdc9, 0x5e024add, 0x658ad77c, 0x2afdf53b, 0xdaf64b93,
+    0x1361f727, 0x915fb40c, 0x61510397, 0x3dc5dd77, 0xf8f6a533, 0x4b4f77a7, 0xfe71a843, 0xb8bdb58c,
+    0xcee65513, 0xbaaba8e2, 0x5da39e60, 0x2f043a68, 0xe6c2770c, 0xf6894c12, 0x6db39532, 0x09212026,
+    0x047bbcce, 0xcfdd249f, 0xccbbfc5d, 0xfb0dd5fb, 0x3d5360de, 0xefaa5458, 0x40d510b3, 0x627c3341,
+    0xeb452d12, 0x4dbdcb15, 0x33a46d24, 0x4d1b9960, 0xcbdd4ae6, 0x9e1baec3, 0xe8032a7f, 0x4b72449c,
+    0x6235d69b, 0x4355a5df, 0x9628c641, 0xb32a6014, 0x6d078b33, 0x32e4f305, 0x269443c2, 0x54ff3aaf,
+    0x5fa6ff1b, 0xaf92a2c8, 0xc7a91919, 0x05c24856, 0xf5326b17, 0xdcfb6bfb, 0x005f8dda, 0xc6ca87d6,
+    0x1386bf6a, 0xd80961d6, 0xb07410b6, 0x92030fb5, 0x82e3b8b4, 0x292a9788, 0x56bd6238, 0x883021ce,
+    0x291004ee, 0xecc45f1e, 0xc11e3033, 0xd2411a1e, 0xbb5c06be, 0x5b93008d, 0x69c8601b, 0x74cabb95,
+    0x35aec79b, 0xe3741faa, 0x43d6ea44, 0x77b14a7d, 0x69377ed3, 0xa4c29bd5, 0x3f8b41f0, 0x14028c2d,
+    0xf0106901, 0x9957ebbe, 0x49963b24, 0x756f19e1, 0xa4219524, 0x1f17b677, 0xb0c7c70a, 0xdd0a4e4c,
+    0xbaf42834, 0x4473c57d, 0x9e05b63e, 0x0a24f963, 0x93da66c9, 0x84feabf0, 0xad0d8ae1, 0x5317953c,
+    0xcb0988c7, 0x0c5a3803, 0xb49da4c5, 0xe554b391, 0x1e6e7ed8, 0x1ef3b002, 0xe6bd5656, 0x6c3c099c,
+    0x9e54018c, 0xe3b0fb1e, 0x964b8a4a, 0x34842c75, 0x5da1b710, 0xcc60ec2e, 0x4e63f046, 0xb5421aaf,
+    0xc761ddbb, 0x04839379, 0xca2488fe, 0xf4bf29f8, 0xfdec2d06, 0xeac82502, 0x28fe9148, 0x6eaaf4e6,
+    0xfd93f1e4, 0xed4e09a4, 0xaad6433d, 0x27bcee72, 0xecf94c3d, 0xf1be8cad, 0xa213990b, 0x634d80fb,
+    0x9950ba16, 0xaa0efff8, 0x14419382, 0xa431166b, 0xe6ef02a7, 0x583cbc7c, 0x7c05149d, 0x309ee307,
+    0x792a14cf, 0x22dbab34, 0xb2119e1e, 0xcf3ad0a1, 0xb5d1822c, 0x342da2b5, 0x4127b050, 0xfe0ef112,
+    0xf81288f7, 0x9ef208d7, 0xc0f1c112, 0xd5a867aa, 0xcd9c1d9e, 0x242f05a4, 0x2ade24ff, 0x3f8c2ccf,
+    0xa570d3fc, 0xda49d563, 0x626e6cd8, 0x76554103, 0x324d0dea, 0x96582c79, 0x58cf7476, 0x0a07f593,
+    0x0f185b12, 0xc1beb20c, 0x9fc97a58, 0xd7c472e9, 0x0b2afc87, 0x788d37dc, 0xebe8d630, 0x9d2d82af,
+    0xded1bfbb, 0x71175625, 0x15eb0894, 0x7e63c90c, 0xd3646a4f, 0x152e269a, 0xee8570ae, 0x400db556,
+    0x1c1ee77b, 0x59a6742e, 0x377cb8eb, 0x8bbe5dab, 0xcc9f14ac, 0x1fa61442, 0x0cb53062, 0xf5e93cb4,
+    0xbbd2cbad, 0xdaf8df50, 0xfdb5126b, 0xfbbade63, 0x0c3ce63e, 0xf86e62d0, 0xd1087ff2, 0x01c67e27,
+    0x3fe9b547, 0x21c0de36, 0xc1104889, 0xac0c4a50, 0xe18d95ae, 0xebebcdfd, 0xef652cc4, 0x1fe60062,
+    0xfbb1fc50, 0xb5389236, 0xe2cb73e3, 0x35603773, 0xa8aad337, 0x73f611ed, 0x58521ed8, 0x5b544eca,
+    0x23796a16, 0xb1715ab3, 0x90200029, 0x1df9e526, 0xc78e34dd, 0xa05dd04c, 0xbf0d87aa, 0x96262e7c,
+    0x19d8a3f7, 0x48f7f630, 0xe0e70bf3, 0x60c347d0, 0xbca2cbdc, 0x228d4021, 0x438a4969, 0xbd12976f,
+    0x59dd19d5, 0x6d27dae6, 0x3561f898, 0xd8baa94b, 0xc6cfc9f5, 0x297acf10, 0xdee77d14, 0xda3a2ba4,
+    0x72f9521d, 0x1f40cbf1, 0x2e178617, 0xb26af65a, 0x1a3c835c, 0x5c9c629a, 0x26c120b6, 0x2f7f1439,
+    0x75302e6c, 0xd3de88fa, 0x9b18c487, 0x3065e940, 0xe587b5c7, 0x66937ffa, 0x53d72ea2, 0x966c37c6,
+    0x74bef3da, 0xb56072af, 0xee0b4049, 0x322b47d7, 0x58116bbd, 0x5451958e, 0xe012a734, 0x9c90dc75,
+    0x602113e3, 0x7d1a629a, 0x4b27936d, 0x6da3745e, 0x87f88099, 0xf92190d9, 0x78a81dc0, 0x3855a43e,
+    0x791196ce, 0xe99ae0ec, 0x7edf6fe2, 0xaaf5e06b, 0x4f377d40, 0x1aad124d, 0x1ef46e7b, 0x2e62d666,
+    0x17b0adec, 0x959adf09, 0x81e786ac, 0x3c8c112e, 0x7a7a28d1, 0xfc2031e9, 0xd2f476d2, 0xcca7c1f9,
+    0x0872ddea, 0xb7664766, 0xdd2062f0, 0x38a7481d, 0x79a2e718, 0x422d5456, 0xc63dca81, 0xb03c065b,
+    0xad5f20bc, 0x1cda3207, 0x90f24a98, 0xba8a8ada, 0x493cddf5, 0xfc45f5cb, 0x94eb2acb, 0x17ea22c7,
+    0x32987d30, 0xf5d1716b, 0x8130c05f, 0xdc3e1466, 0x7c157818, 0x5150126f, 0x60d540fd, 0x00b48213,
+    0xac3e7297, 0x8aa46797, 0x0818c2d3, 0x9dd90554, 0x0c8f27c5, 0x7d5a34fd, 0x93b23708, 0x9f525944,
+    0x5cb3172d, 0xc8e82c0a, 0x0097a174, 0x47a09168, 0xee58bc27, 0x491a9829, 0x78ead5a0, 0xb45b2f08,
+    0x85ba58f0, 0xb54827c8, 0xf50eb47c, 0x2838a910, 0x7c823e9e, 0xa53de622, 0x82d5df9c, 0x6af5edb4,
+    0x89e201be, 0x2bffbfd9, 0x5c5c48fa, 0xae7c4180, 0xa69f9b5b, 0x8aa12a8f, 0x84463f02, 0x1a302669,
+    0x4c21a98a, 0x16a6f6ee, 0xc3d3915d, 0xd2645b6d, 0xb18886b4, 0xa09e3952, 0x32c02922, 0xc0d2be53,
+    0x8b68a02f, 0xd9c30994, 0xb5cf29f6, 0xf5f270c6, 0x033a0b45, 0xc0b43d4f, 0xf28f9529, 0x8da28955,
+    0x4a1d6c71, 0xc08ebb40, 0x6a3b14ec, 0x8f6b6bb4, 0x25c5c897, 0xae16a215, 0x4016d714, 0x9f8bbd06,
+    0xeb7273ad, 0x343595e2, 0x7cf8907a, 0xc7e72486, 0x67752275, 0x7a4f6f74, 0x5194dc1b, 0x8e9f4078,
+    0x00000000,
+    0x03a74cab, 0xa68d6acc, 0xf2846dfe, 0x14bd0a7a, 0x76d05527, 0x8ab83170, 0x66bc0858, 0x461e98be,
+    0x9254dfdf, 0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0x3fffffca,
+    0x00000000 }, /* 10**-00000000499479768050558757021055556766906608919775702826395384137465113540059\
+                          47821116249921924897649015871538557230897942505966327167610868612564900642816 */
+  { 0x00000000,
+    0xe9484880, 0xda558fcf, 0x2e21ca5b, 0xcefb0557, 0xc105269b, 0xcd4f115a, 0x397e6852, 0x5b545f78,
+    0xeac7551a, 0x742a5290, 0x9d087495, 0xfb378dca, 0x97b97dd7, 0x54f1634a, 0xd6923b03, 0x2b470d92,
+    0x3bea74fb, 0xcdb9c81d, 0xa6fb29de, 0xe150621e, 0xfe7cb2f4, 0x93418ad1, 0xd20dd781, 0x12ede7e9,
+    0x32f557fe, 0x7b0e8e63, 0xc30d10da, 0xde3fc817, 0xba57997c, 0xa4707397, 0xfde35a29, 0x545a7a76,
+    0xad12618f, 0xa7ed7668, 0x0a59b091, 0xd97d5b02, 0x5420b15e, 0x2be85645, 0x622248d9, 0x4dab3cf2,
+    0xc0988544, 0x6ecd93bf, 0x28c003cf, 0xa3b83353, 0xe6126141, 0x5db1da65, 0x7836f20e, 0x3d2479ff,
+    0x958c04b6, 0xb227ad3c, 0xbed8dc7e, 0xc1b4b8ed, 0x9081fc6f, 0xf89ae556, 0x86065e37, 0xbae1f876,
+    0x3757b6a7, 0x10a1d23e, 0x9c33370f, 0x23ce2ca0, 0x3fe415b0, 0x2e98dad6, 0xcc2b6be3, 0xd5e0e8d4,
+    0x6c029b8f, 0xb3ba7062, 0x540f476c, 0xce9dcd08, 0x5eff64e5, 0x06967bda, 0x87a6787a, 0xf5813df5,
+    0xe54b38ff, 0xe2a25623, 0xf8e29421, 0xcbfbb3c5, 0x4da0f28c, 0xa4a8eb05, 0xd56032f5, 0xaf1561b5,
+    0x82e56dcf, 0xd263b603, 0x16cd6d51, 0x62c722ca, 0xb5160a3d, 0xcc465cdc, 0x4808913a, 0x72402f5d,
+    0xc2ff9204, 0x1c057a3b, 0x8ee54f83, 0xb91042e1, 0x18a74f88, 0x35954c0b, 0x262bff5d, 0x8ecb07c1,
+    0x8d662729, 0x0ed7d4f7, 0x23bbd1da, 0x504ef2a6, 0xaea02673, 0xb7dd66ea, 0x500970c0, 0x862e8368,
+    0x81673f02, 0xc8696963, 0xb1e95854, 0xb3e64239, 0x1f55dcd7, 0x12d91a7c, 0xce426cbf, 0xded12c74,
+    0xfadbc47e, 0xeec27540, 0x37c444d1, 0x0d54423c, 0x8593fec2, 0x07c450ab, 0x6f58c221, 0xab4b8b66,
+    0x3bf16994, 0x963c6480, 0x4057f748, 0x5619b70c, 0x12df14f8, 0x553b454c, 0xb8c4e38f, 0xf43a8623,
+    0xa0be8a6a, 0x6acc18dd, 0x1c1011be, 0x78e9cb2a, 0xb0d7dd7b, 0xbb9972e6, 0xb9ee65f5, 0x1abff393,
+    0x3ae3905d, 0x553f9241, 0xa4c2945a, 0xa8e7d5bb, 0x83805d04, 0x359efb95, 0x8ff29f50, 0x6a8ed684,
+    0x5b60e66b, 0x563b0240, 0xd6551956, 0x61f6cda8, 0x64b12b8f, 0x69c9769d, 0xfe35dc05, 0x3130f6df,
+    0x505c443f, 0x46573e6f, 0x2117f663, 0xc074ebb8, 0xc32ae2b4, 0xadd3e748, 0x05f8ca9e, 0x013d1fe9,
+    0xc2d255ca, 0x0cee3634, 0xda7fbcc0, 0x98cdbc94, 0x3f53c550, 0x958a0513, 0x7f57db62, 0xce60e467,
+    0x70395774, 0x1512c8f3, 0x16603b68, 0x90e0391a, 0x47439e5f, 0x4b314dc9, 0xaab47d57, 0x6649649b,
+    0xce713040, 0x07f4f016, 0xce34c6fe, 0x10fc33c1, 0xad3edb08, 0xe7f67756, 0x768d3ea1, 0x5a871366,
+    0x08a1260a, 0x12c3e163, 0x116b6f16, 0x01af599a, 0xa69be905, 0xac5bc265, 0xcb86f37b, 0xda7c9403,
+    0x286e6e67, 0x2eedd835, 0x0a9a25f7, 0x484a247e, 0xe46f7520, 0x9a4d7e13, 0x1e069811, 0x35ca0402,
+    0x8e7c2dd1, 0xdb8d0f8a, 0x34f69d8a, 0x5a621f02, 0x65b1f147, 0x03bc85e1, 0xc9bf39a5, 0x623cc4e7,
+    0xf49dfd5a, 0xc38b90f9, 0xaf072a5c, 0x191e3010, 0xbfdcc35e, 0x959157a9, 0xcc4f2561, 0x28401c05,
+    0x925e3c79, 0x2ef128bd, 0x8e501736, 0x3c7dd7f9, 0x52557eea, 0xf5f675a5, 0x3b939288, 0xc89e9771,
+    0x51be9afe, 0xfc7faab5, 0x22fd5499, 0x15b0d390, 0x75527a83, 0x8951192f, 0x13650c67, 0x2297503d,
+    0x144cadfc, 0x60481c07, 0x4cb5d72f, 0x7506c337, 0xf31f174f, 0x69cf8199, 0xb74a7247, 0x0a902604,
+    0xbfd5fdba, 0x7d4eae1f, 0x7f578c8b, 0xf78397be, 0x3bc6e184, 0xc4cae65c, 0xf7af4cdc, 0x15699233,
+    0x7498bc6a, 0x171138eb, 0x32719528, 0xf7c05431, 0x2103206e, 0xce0073bf, 0x7fb110de, 0x72d5db8e,
+    0x09589c63, 0xb3ea61e7, 0x8943c01f, 0x9a9506fe, 0xe2770e7e, 0xcda54ad7, 0xc85c6db5, 0xb5b43c40,
+    0x7a0f565e, 0xec683e63, 0xac38b45a, 0xe2aaeb77, 0xf6c4262e, 0xe35166c9, 0xab187433, 0x0170d3e8,
+    0x91bb3632, 0xe3a24f3e, 0x1242b6b2, 0xf7a68b8b, 0xc0818b15, 0xc2a43993, 0xa5aec837, 0x47c5b9c9,
+    0xeb74357c, 0x62da9340, 0x3d75bea2, 0xcfcc351b, 0x2881c36e, 0x705879df, 0xd836312c, 0x5d2a40be,
+    0xa2906f54, 0x9083e33a, 0x23730cb2, 0x58cb9fa7, 0x5fcb7aae, 0xebbe4587, 0xcf646f1e, 0xc5183de3,
+    0x5c02b6cd, 0xac032580, 0xac41cbfb, 0x24c4deb2, 0xac42547f, 0x8a7298aa, 0xd8ae20c0, 0x0dfb63a2,
+    0x81d9b207, 0x5ecc8110, 0x2fddaf6d, 0xc7e04fbb, 0x9fbcf3b8, 0x846fb604, 0x8ee7a458, 0xe6d4c490,
+    0x7132b04d, 0xe3dbf0e4, 0x1f4912a7, 0x4b69844e, 0xb0125c87, 0x1c0f312f, 0xba66fedd, 0x5d8002be,
+    0x74d3c50c, 0x738f1ffd, 0x0b98fadc, 0xe6657e7e, 0xd959fb6a, 0xf9ed1f10, 0x2708c6cd, 0xeb8134c1,
+    0x3313cf75, 0x8c83450f, 0xb54f6181, 0x576602ff, 0x1fe3e313, 0x5f73af62, 0x27208671, 0x7f8cc657,
+    0x68ca628a, 0x5998e8ac, 0x08a5655b, 0xb80d1aa3, 0x083bc17b, 0x63a35e69, 0x3c90a282, 0xe8283873,
+    0xd5eff7fb, 0x61c0b34b, 0x274fd116, 0xcbd063fb, 0x94e4e3aa, 0xbb244325, 0xa76a9bbe, 0x5b433f86,
+    0x4fbb338a, 0xb14273e2, 0xd34e4d08, 0x8a04e95a, 0xa922aefd, 0x30bb9307, 0x46ec727a, 0x4d95f045,
+    0xce829547, 0xbe7368b3, 0xcc865582, 0x0554c257, 0x66f35eff, 0x465e39b0, 0x512adde8, 0xc8696222,
+    0x8ffff9b0, 0x947086e0, 0x701dbf4e, 0xcefaad69, 0x88fb8fb5, 0x4c738954, 0x906e61e1, 0xa4e3e4d2,
+    0xa31ba7b8, 0x8e7032b5, 0xbbc213c0, 0xe7620bc8, 0xa44a7b1a, 0x09b8da13, 0x6a2c106d, 0xb64cef63,
+    0x9df99cfa, 0x45494c57, 0x80f008cf, 0xecc8d779, 0xfef16573, 0x8b2b86c9, 0xb0c230bf, 0xa544bb40,
+    0xcd8b0e5a, 0xf19c69de, 0x9871129f, 0x0c26b628, 0xbd9729e4, 0x39bbe326, 0x3509999a, 0xb8188547,
+    0xb189b5e9, 0x052bc590, 0xaca15d22, 0x4de5dd29, 0xc22bae7d, 0x1f7bb666, 0x90120b09, 0xdc55cabf,
+    0x3fd23626, 0x3d538b79, 0x449a9bc5, 0x0944c892, 0xc5eaffa9, 0xfc17669e, 0x205fd973, 0x325e313d,
+    0x49cd0b84, 0x7315f2ea, 0x74e4431f, 0x1be78db2, 0xf4fe085e, 0x2d1a066c, 0xbe2f61cd, 0xb2193cb0,
+    0x38c845ee, 0x33ba7147, 0x183800ec, 0xb8354dd5, 0x3c99372c, 0x47d4f3f1, 0x5a1691ea, 0x086a33de,
+    0xd107a18c, 0x97ba55be, 0x55b43abc, 0x9e7ab4b3, 0xca2ba2ca, 0xd768bace, 0xe6b4ed83, 0xc27bb62b,
+    0x4922cad8, 0x783fe52c, 0x66ff7b2b, 0x98fcf142, 0x3ac41828, 0x4cb13344, 0x3d43b9f1, 0x8a1b6f01,
+    0x249e4fc8, 0x2c473c88, 0x9e4dea43, 0x3c1ddd05, 0x292f47b8, 0x222700d8, 0x13b914e1, 0x2f99f79b,
+    0x0f65a960, 0xe663902a, 0xee91a1b1, 0x8d436d35, 0x0cf0bf6d, 0xfb235147, 0xc7eddb3a, 0x859f3453,
+    0x1f555117, 0x73256ad4, 0x7afeb973, 0x21bc6ccd, 0x46e1af6c, 0x526ac129, 0x6979f662, 0x547091ae,
+    0xcee39c62, 0xadfb25f7, 0xbc23d14c, 0x3495529b, 0x8b6eb5e3, 0x9e6de641, 0xf3ed49b9, 0x793e408b,
+    0xde059b75, 0x3fd71998, 0x351f84c5, 0x0ac6aa87, 0xe652ac7e, 0x69b35a64, 0x058ee79d, 0x87f4b6a7,
+    0xfd7dd9d6, 0x5e714db0, 0x57ffab16, 0x92d66298, 0xb93becb8, 0x9c0d71e7, 0x03a0af3a, 0x200ace48,
+    0x374e4a51, 0x7c9d2733, 0xb5f8e261, 0x6c643876, 0x18e1b2a6, 0xb277e800, 0x9e2df104, 0x344b901a,
+    0xc5c9a7e9, 0x583f85c8, 0x068cce86, 0x908061b3, 0x07b39902, 0x8677c5a3, 0x48ba0132, 0x97cbeeed,
+    0x234634d3, 0x56386870, 0xd0d5d602, 0xaa3607d4, 0x42862ade, 0x8fd8b644, 0x362782fe, 0xd469ee81,
+    0x3cd92282, 0xc22ac9ac, 0x699b22dd, 0x7d16896a, 0x061b1e0f, 0x9b616b0d, 0xae9b83ce, 0x482dd4f5,
+    0x02fe9aa4, 0xda675a6b, 0x00700e9b, 0x4d9479de, 0x00c7f7ca, 0xa101498b, 0x9582c094, 0xa2fccfce,
+    0xb8b8eed5, 0x2c0e2535, 0xb4ad93c9, 0x7149bcfa, 0x289498e2, 0x5196aa2b, 0x159cba0b, 0xc99be487,
+    0x423b277c, 0x807a77e8, 0x240a568f, 0xa2ae3f4e, 0x31b235c3, 0x75d15b68, 0x780c8a35, 0xb01f7665,
+    0x4bcfecf3, 0xdad73d31, 0xbab08ea9, 0x1ea9130d, 0xc77099c1, 0xaa8098be, 0xddce825e, 0x29064a8c,
+    0xd6ae5e5a, 0x69478a91, 0x097c78bf, 0x8de26571, 0x59f51ad7, 0x13371c4c, 0xfe4c6dcc, 0xde6f87a9,
+    0x8b27e847, 0x6d3af595, 0x26ca56d0, 0x7d93f069, 0x26f981ef, 0xd65b53e7, 0x0f973c25, 0x09dfb287,
+    0x95e7a44e, 0x3817203f, 0x5fd5e77e, 0x0af872a9, 0xd71c9d76, 0x9a1bf9df, 0xa671eb6e, 0xfdcbf2b4,
+    0xa35e5b8e, 0x1c182f24, 0x3a2c53cc, 0x239cafa0, 0x3c3fc296, 0xde548727, 0xd9a876c9, 0xabf59bf8,
+    0x8ab1f9bf, 0x21129761, 0x709b2cff, 0xa0f655d1, 0x8ff49a78, 0x72e46252, 0x94cc6fb9, 0xd529cf06,
+    0x0bf2dcbe, 0x9618d8af, 0x39655540, 0x041577e3, 0x3d0cbfdb, 0x64ecf6e3, 0xbcca9697, 0x23cb34c6,
+    0x5ef49ccc, 0x6009e160, 0xadabf19e, 0x8cdee5c1, 0x60d986f1, 0x90877cba, 0x782fe5b3, 0x3516f9cb,
+    0xdfed69d1, 0x1fcd9ce5, 0xab4d1e4a, 0x6bc5c329, 0x1cb85aff, 0x3dbe053c, 0x2bdd53a6, 0xec2c26bd,
+    0x33241da4, 0xfa1e6dcb, 0x124f0e03, 0xbc4d4b81, 0x7fa21b15, 0xc0b8cb5a, 0x0f722d46, 0x1850ec7c,
+    0xa26eb340, 0x501b1ace, 0x32b020d2, 0x540e2329, 0x2f7d90e4, 0xdf744e0c, 0x155b3203, 0x87263028,
+    0x99a0fd59, 0x6d55f988, 0x419673e8, 0x9c943530, 0x1f329c1f, 0x8d4288bd, 0x34461a43, 0x85b41a61,
+    0xd770428f, 0xcb700fed, 0xdf49bcbc, 0x70140db8, 0x925e871e, 0x254bccf6, 0x5fd07788, 0x059d3528,
+    0xad8c8878, 0x2fe026f8, 0x056c34d8, 0xacbe25e4, 0xa2e415da, 0xf1495f36, 0xb4f1ae3d, 0x647a3f74,
+    0x2a3a827d, 0x4933fac1, 0x8d1835c9, 0x1611da5c, 0x8b8a064d, 0x978e1189, 0x794aae0e, 0xe707e1dd,
+    0x2d37ffdd, 0x342483ad, 0xea700678, 0xea476da3, 0x23a25950, 0xa3c9c72d, 0x0ede4274, 0xa67e8ea6,
+    0xe2d58bfc, 0xe1d85573, 0x3615615e, 0xb3fe83e7, 0x7a97205f, 0xcb700a43, 0xaaff6e9c, 0x33204671,
+    0xc276acc8, 0x159d7730, 0xd541e18e, 0x1a3d416d, 0xd446b6b0, 0xd4d587d3, 0xe7300a27, 0xc104553c,
+    0x2603da51, 0x2d428276, 0xb99164fa, 0x8910915a, 0xc3385181, 0x314db3a6, 0x0329903a, 0xddfe3686,
+    0x3e2e94ee, 0xb970305c, 0xa00ae7ef, 0x8ca301c4, 0x5dcc01ca, 0x14559d81, 0x6c519596, 0x1d1a78e7,
+    0x39287123, 0xdd35adfd, 0x8aa88771, 0x2348b621, 0xaa28fece, 0x552dfd0a, 0x75cc3827, 0xdeec48f7,
+    0x82e6716f, 0x589598d5, 0xa0a37395, 0xa4b27713, 0xe589d169, 0x5f666ff2, 0x7a51de51, 0x8999082c,
+    0x696941c7, 0x8a3a3e54, 0x657c4c9b, 0x33465427, 0x55dc17e2, 0xc1184d82, 0xc26aff43, 0x3d166c92,
+    0xca3c7769, 0xfc979bd4, 0xd5e59eb8, 0x0565ab3b, 0x4f15fe48, 0xb607b3c1, 0x95d1c3a1, 0x3b2401f9,
+    0x61ee085c, 0xcd7b9966, 0xd0b1a23b, 0xf9e5d285, 0xb4358653, 0x8e34152f, 0x6c16a268, 0x0963b756,
+    0x5ff85aa2, 0x6a0f018c, 0x46e913a1, 0x6490924a, 0x8cc12d53, 0xb5b2f64b, 0x3e16c765, 0x5f6f4290,
+    0xc13139bb, 0x30e5cc40, 0x628b07eb, 0x7344980f, 0x86d021e5, 0xc2577a66, 0x464f8716, 0x23465af5,
+    0x484af461, 0x802941f0, 0x527fc661, 0xb278153f, 0x5ba76a38, 0x6b6c40f0, 0xc79a0e38, 0x725619fc,
+    0x79b4c4f1, 0x0d5d63fd, 0xa8900648, 0x376e91e2, 0x27c3f8cf, 0x950b1344, 0x2b9ada1e, 0x7a8f5f95,
+    0x77c97292, 0x2b582b72, 0xbadc6709, 0x912a2ac1, 0x3f06d327, 0x4be9ee53, 0x050628c2, 0x2fdbc5f4,
+    0xac419592, 0xa54e19cd, 0x3725622e, 0xd8b1619e, 0x0e628886, 0x4a8dd246, 0x040900cc, 0x427b80f7,
+    0x9c2cf0fb, 0x52515151, 0x23853310, 0x1cf7ada8, 0x901f9135, 0x63449aa6, 0xfd11a0ee, 0xa1ddb7a7,
+    0xd17e82a8, 0xd9720c04, 0xdb47c030, 0x73d15b51, 0x12a0b71f, 0xc7255277, 0x2aaca7d5, 0x9c229a58,
+    0x08184662, 0x2e1b9da7, 0x1041303e, 0xa772f3b3, 0xa6729580, 0xf1cfc3ef, 0x3d2eef0a, 0x749c00b3,
+    0x2ff5349d, 0x94dd7cce, 0x88cd87f4, 0x4d1a1f48, 0xd7333e68, 0x0f24ac43, 0x120e0cc5, 0xcc13dd5d,
+    0xb8e41605, 0x51702808, 0x03b15de8, 0xb143dd2a, 0x64a27da9, 0x66df87ab, 0x910b8fa0, 0x3386b1ee,
+    0x18a0bcca, 0x73ec2db3, 0x7ebb2d52, 0x0d82fbac, 0x193e61e4, 0xd0644fca, 0xea225823, 0x8f45f827,
+    0x60eb34e4, 0x8ac04848, 0x87f44c01, 0xd2c44714, 0x7767977e, 0x77f6f0ea, 0x21f0f72a, 0xdb01e53c,
+    0x56636568, 0x5b7a505f, 0x2e735d8c, 0x04c01e66, 0x7a8b107d, 0x07ba8b4a, 0xa56fd58b, 0xb6f6a8d3,
+    0xbbd3acf5, 0x64262a28, 0x33c6ff22, 0x34514e3e, 0x36035435, 0x8aa9466f, 0xb2d2cc75, 0x433bb70d,
+    0x19498841, 0x8bb6e6b4, 0xd6db159e, 0x0f582f41, 0x18e06b92, 0x1969c524, 0x5fe5cf76, 0x46dba836,
+    0x3e868570, 0xa4f34134, 0x6bb75210, 0x27d13873, 0x50e3ed93, 0xef4db7c5, 0x67e027a4, 0x0a127e4a,
+    0x5dd2184d, 0x60e52f26, 0x29fe85e0, 0xd4ff0cd2, 0x6a41c04a, 0x3127251d, 0x62b22a0a, 0x220f54f6,
+    0x1343fb57, 0xbd24ba5c, 0x1187ede8, 0x13409dc9, 0xab968da5, 0x807109e8, 0x0f8c59cd, 0x62224d69,
+    0x99bbfc2b, 0x805ff97b, 0x4c3ac2b8, 0x12cd2154, 0x63398388, 0xc6582931, 0xd201b9cb, 0x41f01d00,
+    0x2b4fd575, 0x5388223e, 0x6030a196, 0x33fc7be1, 0xa1b76389, 0xfe6053f9, 0x9eb9863a, 0x70c9d840,
+    0xd88c55ad, 0x7f07d2c0, 0x72aa205a, 0x57808a2a, 0x10d8bd28, 0xc2bb0598, 0x7ca7e223, 0xf3c7a0b8,
+    0xef1b1536, 0x8df34f1b, 0x97669403, 0x0a06b122, 0x9916f614, 0xa52154cb, 0xffe59f9f, 0x26cf7811,
+    0xf7ce7690, 0xf4809595, 0x56a0851a, 0x0348423f, 0x901941c2, 0xd41f558e, 0x10a6cba3, 0x2262af73,
+    0x472a6113, 0x963d1505, 0xa0f930b0, 0x988c9d3b, 0xec4d68d9, 0x4e8e261b, 0x1fdd5918, 0xe5c2dcc9,
+    0xb76688d1, 0xe2e18811, 0x8f501d26, 0xd43f3aa8, 0x609862be, 0x3ddb9bc0, 0xf7365e5f, 0x44788e3d,
+    0x819915b9, 0x6bb9e504, 0x1f73e1e4, 0x0dec3f0b, 0x1825d89f, 0xb97747ec, 0x67490ffb, 0x4c0d5d75,
+    0x3a52cd2f, 0x84131fca, 0x9d861381, 0xb3f275c7, 0xfb0f5d36, 0x87d5e7b8, 0x1d7e2932, 0x739a2ded,
+    0x30caadf0, 0xbc4e25ee, 0x51de963d, 0x7b464941, 0xb3caf498, 0x84a9e535, 0x65081b3f, 0x82095a18,
+    0x7b6abab5, 0x36a3efd5, 0xa7219f14, 0xc3df1b38, 0x94421c5c, 0x983fb47e, 0x48060d81, 0xa47fd50b,
+    0x6aa6b54a, 0x05c86d7b, 0x26fd3fcb, 0x06e33ca1, 0x87f7cfff, 0x8b60294f, 0xd4deabed, 0x677469dd,
+    0x6ae07bcb, 0xe633cb08, 0x1596312d, 0x7506944f, 0xefd1e502, 0x6ab10e42, 0x7dde66d8, 0x871d0695,
+    0x00000000,
+    0x01d3a655, 0x5346b566, 0x794236ff, 0x8a5e853d, 0x3b682a93, 0x455c18b8, 0x335e042c, 0xa30f4c5f,
+    0xc92a6fef, 0x098a562d, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0x3fffffe5,
+    0x00000000 }, /* 10**-00000000249739884025279378510527778383453304459887851413197692068732556770029\
+                          73910558124960962448824507935769278615448971252983163583805434306282450321408 */
+  { 0x00000000,
+    0x6a087d6d, 0x42c4aa72, 0x2e1895d1, 0xa1ea626b, 0x06a4a48b, 0x52495340, 0x6b76cbbc, 0x2e15a461,
+    0x90a801bd, 0xb57944a3, 0x56576838, 0xeed79453, 0x06f00713, 0x2efe55da, 0x0a7978df, 0x997289ee,
+    0x9364f5d0, 0xf737c40a, 0xa957ce4c, 0x81e88943, 0xb1bcdcfc, 0xc7251f92, 0xb621dfcc, 0xbcdaaf7a,
+    0xd650d626, 0xd7126edc, 0x4eb03e8a, 0xf27ebfdb, 0xafd92d16, 0xa7f48cad, 0x01718bed, 0x11a06f66,
+    0xf9b75cef, 0x8b7b3bd4, 0xffd1f141, 0xc0ea2c09, 0xc50022fe, 0xc4c01a4a, 0xcf7b1f34, 0xf8672c78,
+    0xca2181e9, 0x234903fc, 0xb0a1d896, 0x7ef962c9, 0x10654566, 0x357958c7, 0x1cf4ef5d, 0xedfe1d95,
+    0xd318ac11, 0x4a1894b9, 0xfb5b585f, 0x71982e8f, 0xf63a2b8e, 0x3c2638c9, 0xda0af3e5, 0x388d1711,
+    0xb6c7ebbf, 0x00a5ed68, 0xa32a55e2, 0x0fd81851, 0xdb9a7c7d, 0x98bf6da7, 0x8e12f2ea, 0xb332fd02,
+    0x4ef2024d, 0xb3ebff1e, 0x4409a25b, 0x8e1f9e6f, 0x001923eb, 0x3b8cf510, 0xdfbca007, 0xe02b6429,
+    0x9d5afc3b, 0xae3a6043, 0xbc621076, 0x8932eee5, 0x945a244c, 0xc2d5a7d3, 0x4f1efb34, 0xc846338c,
+    0x4254859e, 0x222dea16, 0x595531b5, 0x502463d5, 0xe52196d6, 0x217a3f1a, 0xbe07dadb, 0xf9b6fd15,
+    0x94826ce3, 0x6cecb0c3, 0x03520ad5, 0x037cfce6, 0x3581e4e9, 0x7090d8d8, 0x7efbc893, 0x7364ac81,
+    0xee87d228, 0x9d403de6, 0x14df3deb, 0xe12269ce, 0xb09dba7a, 0x55f74b8b, 0x37dc3187, 0x7c6310b8,
+    0x11ab9d18, 0xb37c3a71, 0x6e0c14b0, 0xea84ae00, 0x6d2ba2d0, 0xaf461c0d, 0x25bb0112, 0x5e2587e6,
+    0xefbb62c9, 0x80661740, 0x4be0f2b6, 0x3b01c723, 0x79e12e4d, 0xfb74cf9d, 0xbbe3c610, 0xa4fb0b06,
+    0x09cd5690, 0x0676b033, 0xb0196e37, 0xc35a0498, 0xcba4f3e7, 0x580136bf, 0x323a9de8, 0xc8112b1a,
+    0x00829527, 0x5e48054a, 0x72e39149, 0xcf07e927, 0xca2f089a, 0x2bbcf0b4, 0x6489987a, 0x93109240,
+    0xbdb17cbb, 0xa5604c6b, 0x6e629abd, 0xf786d010, 0xdaba4881, 0xa761e779, 0xa835842c, 0x0b258268,
+    0x0afaac52, 0xd587f72f, 0xb17e0f5c, 0x12e7183c, 0x22ba177f, 0xb7a95e5a, 0xb9ac9a93, 0x8eb7fde6,
+    0xfd37f11c, 0xb758dab5, 0xcc4189ef, 0x7af92dfe, 0x97021ba7, 0xffbcc2cb, 0xe840c7b9, 0x16188ab9,
+    0x0b575030, 0xd405b5d5, 0xed7206bf, 0xc6fb0872, 0x731e26d7, 0x57ee147c, 0x5dcb933e, 0x02843379,
+    0x179ad7f9, 0x564b3244, 0x6f80de8e, 0xf6d06cf9, 0x9c97b3b1, 0xb03004f0, 0xf7a440a6, 0x4370f6a4,
+    0xae637065, 0xac8641b5, 0x0e33dbf2, 0xfbe6a797, 0x2c273c8a, 0xaedc2de5, 0xe74bfab0, 0xee2e1630,
+    0xb443a4b2, 0x1bc0ce60, 0x40a43480, 0x0f058642, 0xbd0b40f7, 0xa91e3c06, 0x579b9994, 0x23b4e3f7,
+    0xcaf07452, 0xe57d61a0, 0x4000c45d, 0xf1e2e6ba, 0xb848bf06, 0x0eb06d2b, 0x4cfdb62f, 0xd0d45c51,
+    0xbb52f490, 0xe8bfecf4, 0x80a3c969, 0x51aade6b, 0xac75dff1, 0xbfab7298, 0xed349028, 0xd509a91e,
+    0x754d8f55, 0x77f01bc5, 0x12d2ec6e, 0xec8ef0eb, 0xf4d16c85, 0xf4c0abd3, 0xb040560f, 0x42ed282b,
+    0x8b763625, 0xea071197, 0x36454ca8, 0x88bfc6f3, 0xff9d4236, 0x7bb38077, 0xeb9038c4, 0xa00b72e9,
+    0xcb47e3cf, 0x59f3a896, 0xc508ef8d, 0xdbb84b68, 0x6e832d17, 0x896f98a1, 0xef9578ef, 0xb7d25bd8,
+    0x9abe45d3, 0xac408282, 0x6aaacb0c, 0x41fadde4, 0xa1022005, 0x093f08aa, 0xa79da371, 0x84f79959,
+    0xaf0395d2, 0x2c4a0c30, 0xdc3b14da, 0x4eb75c34, 0x782c66b0, 0x40b3c7ef, 0xd1d1f3a2, 0x84a73f82,
+    0xf52c52d2, 0xb78ef171, 0x36fb9977, 0x92a65942, 0x62679798, 0x88533427, 0xe4561355, 0xa024f3ff,
+    0x50212f2b, 0x53e7b1db, 0xb27e2634, 0x23d7e618, 0xa87723e4, 0x02dd6ded, 0xb8fda310, 0x90591523,
+    0xe2c9a469, 0x28069f29, 0x7c34ed17, 0xddbb2f36, 0x47b1ad7f, 0x0010379e, 0xb0dbe708, 0x9ff113e6,
+    0xf9b2ea06, 0x9a1a6fd4, 0xcd935a95, 0x99c96008, 0x77b7d029, 0x69adc4dc, 0xeeffea97, 0xf7b7be3b,
+    0x5a739554, 0x59111b68, 0x674c9b3e, 0x3301300a, 0x52765caf, 0xab7aad26, 0x8f118afb, 0x2d3b76b1,
+    0xaf274f16, 0x4137201d, 0x10a70f32, 0xed58629b, 0x301965bd, 0xfe9132dd, 0x9ce628b3, 0x605dfe3e,
+    0x557a2e37, 0x7d4fd823, 0x55bfbe99, 0x34d0322d, 0x93d593c3, 0x95b3b92d, 0x9e748b8c, 0x0792bb61,
+    0x0dde5780, 0x8a64a419, 0x9d4c4c59, 0x6c94c972, 0x2d815b55, 0xaaf3c566, 0x2d559e5f, 0xcdf1f230,
+    0x2552824c, 0xcc0a81dc, 0xf4080dc6, 0xd88aa7a0, 0x7e739883, 0xd083abf4, 0xc3afc065, 0xb060ecb9,
+    0xbb7b0996, 0xa0151b3c, 0xcd8c9f68, 0x39935edb, 0x395ea595, 0x985df2e0, 0x10cc20c5, 0x8e56e961,
+    0xc71e9d05, 0x7b0a7004, 0x8505a662, 0x50598e44, 0x3b7515f0, 0x789ec4c6, 0xa01131e3, 0xc67c9ee5,
+    0x8ff2d032, 0x7c758e76, 0xe4ccd78e, 0x4ced98a3, 0x8b9ce5a2, 0xff4cef49, 0x6e770049, 0xe0382ac1,
+    0x48b92e8a, 0xdd79eb05, 0x150f65e8, 0x18dec7de, 0x3ac11802, 0xcf99387e, 0x2132df07, 0x8d464f9e,
+    0x7d20ffca, 0x68230bac, 0xc5e10d99, 0xdb1fe70f, 0xd1ffee92, 0x3c526486, 0xe8e01f33, 0xad32de5a,
+    0x7bd6b271, 0xb03961b8, 0x571ca990, 0x620e196d, 0x1fdcbcb9, 0xc2ff7572, 0xdfaab260, 0x5bdf9397,
+    0xa559fced, 0x6ef284b6, 0x8d98a391, 0x7fe97218, 0x63a2c141, 0x0ea0dc04, 0xf9f1ecdc, 0xefd29d66,
+    0xb8af86dc, 0x2f322a38, 0xbedf9230, 0x2182a745, 0x1387b788, 0x00923884, 0xc4acd0cc, 0x6801d772,
+    0x21725d08, 0xc2cdd264, 0x0301dcb6, 0xbfe0b615, 0x57f07788, 0x5d54bc07, 0x629d04b5, 0xb357d6d6,
+    0x0198f05c, 0x3c88371a, 0xcb91f64f, 0x5fc58630, 0x67c32eec, 0x9329f67b, 0x5f8923db, 0x1fb59bd9,
+    0xf0a70c77, 0xd851a6e2, 0x6f7858cb, 0xd6b4b2db, 0x194103b3, 0x9bd494cf, 0x60d5073d, 0xe76d4e51,
+    0x73f37035, 0xf0379849, 0xf247c760, 0x31e66359, 0x1451fccc, 0xbb170eed, 0xe2469e17, 0x51b7ccb3,
+    0x0933d561, 0xd089085e, 0x58d4c9f5, 0x5a334b3c, 0xe11a1c69, 0x9d402a01, 0x6463cbb0, 0x0e69be58,
+    0x2fd80875, 0x9b5e568b, 0x5c7fc9cf, 0x5e1944a9, 0xa3fde38e, 0x06a5bbb5, 0x9b8fd786, 0x745bb5a8,
+    0x71818013, 0x818228d8, 0x88e7cb15, 0x4e5682a5, 0x190dd08f, 0x0d12981a, 0xb5213a63, 0x6bab5c4f,
+    0x3ed17496, 0xb988e66e, 0x43ac4772, 0x1abe1770, 0x233d2e74, 0xd4a88651, 0x44ea1c35, 0x3c799ef6,
+    0x1cd3e036, 0x53608869, 0x96360208, 0xb5d2e53b, 0x174781c6, 0x38097b3d, 0x0826cef6, 0x0e906ae3,
+    0xb97ee2e9, 0xaa9db6d2, 0x4390ee9c, 0x55b957ae, 0x2ae216e2, 0x31c5b012, 0xcb83f45c, 0xbac55846,
+    0xae8d725f, 0xb7d3570f, 0xff64b443, 0x4eb561bc, 0x0d03444f, 0x39802453, 0x4f60b199, 0x41715f84,
+    0xf72b693f, 0x7978d1b7, 0xbc1ed215, 0x0d0e9dc7, 0xbddde177, 0x5f2062db, 0x288e7c91, 0x44ffd3ae,
+    0xbc601e7f, 0xe4e10687, 0x4214b96a, 0xed403d7a, 0x1b6f6047, 0xbe88e88b, 0x9da704a8, 0x45bf065f,
+    0x71038a1d, 0x8269edf8, 0x616caab9, 0x4f10aa5b, 0x2c1f0c23, 0x485898d1, 0x5a63903e, 0xad7825d3,
+    0x2d7c450b, 0x85bf34c7, 0x9bbe8475, 0xcd8200f4, 0x99e9ee5c, 0xd3309607, 0x3a98811e, 0x513d0479,
+    0xb4d2ce09, 0x3fada688, 0x470c575c, 0x87416731, 0xc236efc8, 0xd5561f69, 0x2472d940, 0x33fd4314,
+    0xa47803f3, 0x0cc45321, 0xebeab2c0, 0xa5af1ba3, 0xea01685d, 0xda70d646, 0xf89029a8, 0xef51f217,
+    0x6bc5d6a1, 0x80af9197, 0xd71f51ed, 0xa5512f31, 0xb2889c17, 0xeb158d52, 0x9979f3a5, 0x0066e831,
+    0xde981ee4, 0x28273f8c, 0x2524888b, 0xbe63d0ed, 0xd5eacd66, 0xd3c1fbf4, 0x4312ea71, 0x28f3fb5a,
+    0x9c0a8c9f, 0xb97e0428, 0xe8f78f7a, 0x7f80d7b9, 0x32ce3ed6, 0x61934f13, 0x2e96df05, 0x053e3221,
+    0x0a2ff45a, 0x1e5b070c, 0xb56a7701, 0x0d203cf9, 0xe60a61c1, 0x9b61e764, 0x9ec74980, 0xb190f20b,
+    0x68ec7210, 0xaa75530f, 0xa5cc8dc9, 0x75b694dd, 0xbb3dea46, 0x414fcf9d, 0x1f4730ba, 0x2d7f5050,
+    0x051fc41b, 0x024eae41, 0x1c928838, 0x71aefb0e, 0xe2e2c547, 0x85d9158b, 0xa4ec2ac7, 0x1335b7f5,
+    0xa7e7987a, 0x659c2e1b, 0xbbd8c6d0, 0x9d7d32bd, 0x9c241849, 0xf7648f52, 0x1e349e71, 0xadccd1ce,
+    0x20cce8a8, 0x9edc3d99, 0xc3286fc4, 0x61ba6f92, 0x4fdec50f, 0x1c3e9da1, 0x27528451, 0xa884303d,
+    0x103556b2, 0x48ffe134, 0xb00040f6, 0xd63c12f5, 0x2f752947, 0x490f2ea0, 0xfeabd867, 0xf8d9107c,
+    0x3a8770dd, 0x8f4d18bf, 0xccaf4179, 0x5d1ac3da, 0xf69dcb04, 0xbfd03617, 0xeca40a3e, 0xd3c02f8a,
+    0x6528f735, 0x124438df, 0xed1580a9, 0x665da999, 0xe8e201da, 0x46fb70f0, 0x6693980d, 0xcc8b971c,
+    0xc9963175, 0x2b36a99e, 0xf12cabad, 0xd34a44be, 0x44451e8e, 0x3a2ecb29, 0xd03805ca, 0x5968bdb1,
+    0x09f28cc5, 0x85ff4227, 0x0ffa895c, 0x4bac69ed, 0xc5541e0f, 0x9b2527aa, 0x4a9c0d90, 0x69ed5106,
+    0x8ec9fc3d, 0xdc2bab27, 0x0a8af596, 0xfd1f25ed, 0x28469084, 0x65d92e34, 0xfa6d0a6f, 0x2dbe7159,
+    0x0a421873, 0x6b94ce59, 0xfb780bd9, 0xe617a249, 0x9b217cea, 0xcd136c38, 0x665493f3, 0xdfaebf30,
+    0x70002ba4, 0xe7de65fc, 0x4631a594, 0x6ed5ca67, 0x482c16c9, 0xd512d5e1, 0xf9635a86, 0x96c4e8c2,
+    0xa7ad51db, 0x22076975, 0xe4117928, 0x73287cc8, 0x31eaa09d, 0x6711308d, 0x5a7d7290, 0x17bf4dcd,
+    0x3c2b13ae, 0x34926261, 0xf6fa399b, 0xca8b7c7d, 0x4e50cfc3, 0xbabfcb33, 0x7ca9bdb6, 0x7521282f,
+    0xc95eddeb, 0xdae37cea, 0x7127cc84, 0xb5781b06, 0x76a5b6cb, 0x2299c2bf, 0xb144cbef, 0xfe48d424,
+    0x89cdf267, 0x2cb8523e, 0x4bf3f66f, 0x220acc82, 0xcb9130b6, 0x7ecefcef, 0x12133821, 0x24eb4295,
+    0xacc7dda4, 0x9977653a, 0xec18c9f4, 0xab8cda8e, 0x8bee1bf6, 0x8002c334, 0x7b56202b, 0x90ea3d61,
+    0x46702bf6, 0x634d97b8, 0x58969b2a, 0x42b3eb32, 0xbf44dc44, 0x93f0c81b, 0x1454f7c1, 0x14cfd461,
+    0x4bc78f95, 0x3d1ea23f, 0x1a927113, 0x27213cc4, 0x0e8e7b4e, 0xa482865e, 0xabf2942f, 0xe151e313,
+    0xa616e3d4, 0x9711e349, 0x364f451d, 0x5953481c, 0xc8e7f592, 0x7c4a9c58, 0xec94048d, 0x64e76dff,
+    0xbd1aac07, 0x70ab8f9e, 0x5c99b1e4, 0xca1bae35, 0xf3d78a78, 0x1de9cde1, 0x7ea5ffc9, 0x11bbf566,
+    0x337976fd, 0x778e8079, 0x875b6841, 0x52a19783, 0x85871ff2, 0x83aa03e5, 0xef933110, 0x1809b792,
+    0xf1c253a4, 0x1f7db917, 0xa05fcbde, 0xc33cb35d, 0x6613c475, 0xf1d415c8, 0xbaba841a, 0x3dfa230d,
+    0x13cac841, 0xc5585563, 0x82f83714, 0x3bfc3f97, 0x1283cbd7, 0xf266c449, 0x0e81f4fc, 0x44f9ff0c,
+    0x81a239a8, 0x01ee1b84, 0xce945aca, 0x392e9696, 0x4b1c8f42, 0xc590009b, 0x6023312f, 0x23a47ed3,
+    0x4977e051, 0xcc376410, 0xda604f64, 0x254d8249, 0x6b494608, 0xcdb27417, 0xe5cbdd82, 0x5e8f2b04,
+    0xd5c001c8, 0xfcf3e6aa, 0x53759de1, 0x1b1956b6, 0x6bdeced7, 0x32dcfd3c, 0x17a70252, 0xbf08a6f2,
+    0x45cc07e4, 0xe85640b9, 0x8d2bf132, 0x5b4b583e, 0xfde765f2, 0xc9f332dd, 0xf68b4e81, 0x175cb1fa,
+    0x2991c7ee, 0x97e3edc7, 0x2b2448c0, 0x40947128, 0x2ba1dc61, 0x1bc6eff4, 0x5aa3cfa7, 0x055e7955,
+    0xe32765a6, 0xfa7165ff, 0xcff29f3f, 0xb4051efe, 0x8d0fabd1, 0x5cbf8800, 0xe1c7cc68, 0xd024feb0,
+    0x2d2e4e1a, 0xa885daba, 0xd04d7580, 0x3f3e8901, 0xbec27246, 0x79911d01, 0x03d85c71, 0xc25a590f,
+    0xeb8ed9c6, 0xb0f3d0e8, 0x28ab7ace, 0x7b779e42, 0x73ff7e42, 0x9bc32d34, 0x8f586255, 0x00617fa4,
+    0xdd9848fe, 0xd9ee696b, 0x398e6289, 0x86890c36, 0x2ff639c4, 0x9983f7a2, 0x4cee0d0c, 0x5fa2c247,
+    0x83e1b25e, 0xabbd873d, 0x619f65b9, 0x09dbaa9b, 0x709c57fc, 0x1c9d451e, 0xc4d566f8, 0xd74b0893,
+    0x3e1ce883, 0x33fe74e8, 0x68d2cf4d, 0x915ae474, 0x5435d06c, 0x2766e376, 0xa2395c99, 0xc1e494c4,
+    0x47b33a1c, 0x45dd70d5, 0xa2863a64, 0x123eac69, 0xf32789d6, 0xedd8ae0f, 0xa1c6930a, 0x8365b6ce,
+    0xe8741931, 0xe968d9e4, 0x2ed0a804, 0xcbdcb78e, 0x7873ab3f, 0x248d6006, 0x543d53c2, 0xe80ecd37,
+    0x0901bd68, 0xe50767f8, 0xb5509909, 0x4d98b5f0, 0xba219b10, 0x3d86a66f, 0xcc6b9965, 0xf10638d5,
+    0x2436ef05, 0x67f3ea41, 0xbc924892, 0x5dcdc8c6, 0x34e11c63, 0x80c30bb7, 0x00d9b471, 0x9052642e,
+    0x8f61458b, 0xcfd4716f, 0xb6466938, 0xccc90f5d, 0x281df668, 0xe427aaf0, 0x40435725, 0xe9a620d8,
+    0x1aab2eef, 0x3910093d, 0x194a3e85, 0x145c2ff4, 0xc51c63a0, 0x9b47cc50, 0x0d91dce3, 0xaa30154a,
+    0xa7da6cd4, 0xab30a042, 0x1a1cb593, 0x597a9bfa, 0x4ef34c2e, 0x2a4e0dfa, 0x187b3bda, 0x46bdec57,
+    0x7e7a059f, 0x6b047c63, 0xafd27d47, 0x28f504c0, 0xbba7b826, 0x08d294d7, 0x96a8b1d7, 0x0d799c8b,
+    0x555322d5, 0x73ba67ff, 0xc4b853a0, 0x4236fc61, 0x54832056, 0x878a04c4, 0x3680b9af, 0x2c8be189,
+    0xc3401f68, 0xc742539c, 0x7a9af9b1, 0x0728ff8f, 0xbfa477f4, 0xbafeb1d0, 0x0b796c44, 0xd758596b,
+    0x38c39dfe, 0xf410a2c4, 0x589d3033, 0x235379f5, 0x576486cd, 0x58baf5ec, 0xaf3b3afd, 0xe1fb8553,
+    0x38fa2d24, 0xc5677f65, 0x43b9a870, 0xd6a83f54, 0x947a3ca6, 0x017fb2c4, 0x0a279937, 0xc6043d82,
+    0xc4e684d7, 0xcd350efa, 0x4b57fb26, 0x2e3f1c89, 0x55e8b7c6, 0x61d99439, 0x943fe4e1, 0xa8387d47,
+    0xea84643a, 0x361ec4f8, 0x4d96f661, 0x8672b617, 0x0d2e7dc3, 0x6f711d4a, 0x35d9db27, 0xda161dd7,
+    0xe772fc31, 0xd5fcaba3, 0xf1925ab9, 0x657c646a, 0xe1d2ba5f, 0x152e9313, 0x81b0459a, 0x2da1291e,
+    0xc528a8d3, 0x9a3d2dff, 0xaf955471, 0x36da848e, 0xb97702e9, 0x96f27761, 0xc9039e5c, 0x3eacaa90,
+    0xd592276f, 0x58a1926f, 0x546e6b73, 0xe8d5ca92, 0xe8b36efb, 0xc2e8c216, 0xf48eae65, 0xcb48e5fd,
+    0xa299c6c8, 0xcb5bff57, 0x08146e6b, 0xb3a2182b, 0x5a3ce7cc, 0x2ef42b3f, 0xea7bf1b8, 0x694b25db,
+    0x2217d7b8, 0xf26fb4b5, 0x26b907fd, 0x64be0cab, 0x1ff09ea6, 0x26e954f4, 0x1820b31b, 0x66f2f38f,
+    0x0eb36b91, 0x247f308c, 0xbbac4df4, 0x8ed25d4d, 0xa151d8dc, 0xa3aa6bc4, 0xd40b3704, 0xcabde5bb,
+    0x463d051b, 0x1635511a, 0x6d380205, 0xa7fbbbc6, 0x0b5e9904, 0x4d1f90e4, 0x4e99e52b, 0xc0bde556,
+    0xa5a25383, 0x54706bb7, 0xb187e7a4, 0x8ed65aa9, 0xe6fdc77b, 0xa47d39c3, 0xe8a6126f, 0x838233da,
+    0x00000000,
+    0x00e9d32a, 0xa9a35ab3, 0xbca11b7f, 0xc52f429e, 0x1db41549, 0x22ae0c5c, 0x99af0216, 0xd187a62f,
+    0xe49537f7, 0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0x3ffffff2,
+    0x00000000 }, /* 10**-00000000124869942012639689255263889191726652229943925706598846034366278385014\
+                          86955279062480481224412253967884639307724485626491581791902717153141225160704 */
+  { 0x00000000,
+    0x47b009bf, 0xd2f943d0, 0x6083b350, 0x79e38f9c, 0x7cab2aea, 0x45f6026a, 0x7c9c1983, 0x3c21e5f5,
+    0xac17ee08, 0xca501a7d, 0x9b66baf6, 0xede210f6, 0xb7b07bb5, 0xd081092e, 0xc156e798, 0xec530ef6,
+    0xd6c23488, 0xb35aa3ab, 0x264377f2, 0x8ccebee7, 0xc8a8ed1f, 0x254b0566, 0x2b40907d, 0xd01b1057,
+    0xa8b2a618, 0x85dbff10, 0x3843a99a, 0x18538cd0, 0x008d236d, 0x45cf04b2, 0x4d83a43d, 0x4cc5e807,
+    0x59d0eca0, 0xc2ff3d14, 0x20942078, 0xf2de509f, 0x13d43a0e, 0xa9d0c41b, 0x02c5beab, 0x02d9c315,
+    0x1a10ba0b, 0xb6a840a7, 0xbe260214, 0x4eb26e04, 0xcc50b90f, 0x8587c938, 0x2cfaf58a, 0xc443da37,
+    0x864ffc67, 0x4da86860, 0xae63a249, 0x2c4490b7, 0xf839bfba, 0x135420eb, 0xed5c0d8e, 0x2079cbbb,
+    0x250eace5, 0xfe70571a, 0x2dc33ea6, 0x3fe86029, 0x6103950e, 0xc52944d2, 0xa0199336, 0x2342a7ec,
+    0xe6d10c7f, 0x886fe38b, 0x6886a714, 0xc95b5eff, 0xca2d4fad, 0x2d9dc9a7, 0x8ecb1ce0, 0x33b27069,
+    0x0caa8804, 0xa388c563, 0x9a7e13ca, 0x16be5144, 0x2a2fdb23, 0x335e372b, 0xd7843dd1, 0x45ce6461,
+    0xf273219e, 0x1264e6f8, 0xb6c198f7, 0xa4f60ad5, 0x9bf3939f, 0xfe09455b, 0xd7946624, 0x09e18df8,
+    0xf8a60d2a, 0xd94c8f30, 0xf93f19e6, 0x0314c4ca, 0xe46a8798, 0xce68fb4c, 0x6431dae5, 0xe462fea0,
+    0x0b817a69, 0x6b7d14ac, 0x623de6fd, 0x1082efa0, 0x410bcd4e, 0x4e73cd3e, 0x9b183da3, 0xc80ffa1c,
+    0xbc0b5137, 0xd4f0fd8a, 0xe77fb556, 0x07e03637, 0xe5fdd980, 0xb52d4561, 0x4798dbfc, 0x41792d9e,
+    0x0fc4ca13, 0xa3b163e5, 0x5dccc886, 0xa3d58142, 0xe2b9e88b, 0x99b31d50, 0x28b0f9d4, 0xa4c3af81,
+    0x34070c0c, 0xe76acae4, 0xaeebcc90, 0x2333bdb7, 0x7df1d363, 0x0652ef7a, 0x7c9cf98a, 0x17c3f208,
+    0xb12fd6f2, 0x75fa847b, 0xa219f8d2, 0xd4c0a52e, 0x9934cee8, 0xc2076f44, 0x2b824667, 0xbc04e654,
+    0x927486b4, 0x9b7c3122, 0xfabc7d8e, 0xc1ea1634, 0x092cdeae, 0x7376a009, 0x103cb5ee, 0xccf96169,
+    0x5aa42a6f, 0x2a203b07, 0x7d63b2c5, 0x28aa3185, 0x0ac85f81, 0xc3d80bb1, 0x89ec5151, 0x9e8a1c95,
+    0x83f52d94, 0xb4f6e32a, 0xc30ea916, 0xcee4cd5d, 0x703a8d41, 0xf9e19842, 0x3cbae558, 0x2eac489a,
+    0x3ff99582, 0xfd9a3710, 0x6b1bf025, 0x35f8283c, 0xf1110361, 0x77522cda, 0xd9e5dfbf, 0xc821e79c,
+    0x82cb9a01, 0xe84d8e0b, 0xa71f4bd2, 0xbba3d18e, 0xa97339da, 0x816527be, 0x0342385f, 0x0ac9c0e0,
+    0x8a3b5709, 0x2b550c9e, 0xc097e4f1, 0x50c4d7d9, 0xf4209263, 0x8080ed6d, 0x319dc565, 0x9e9e43df,
+    0x298a1883, 0x0ed74914, 0xd721cae1, 0x2fb5dda3, 0x5f9f91f2, 0x8afa2bca, 0x953a274d, 0xcee88a71,
+    0xc02d2862, 0xd904ce0b, 0x0af4e0b1, 0x0d728a24, 0xfaf45d8d, 0x828f607a, 0x85ba88af, 0x43f67e72,
+    0xed4b0f25, 0x0741fa59, 0x957471ca, 0x0e02b621, 0x5a6ce81a, 0x063e52bd, 0x2c4dcc14, 0x0d607c9b,
+    0x1b21d112, 0x26ef784d, 0x9e4ef201, 0x5a5df9e9, 0xf1d4b8d5, 0xb402aa91, 0xcafee4c4, 0xac091774,
+    0x884fe237, 0x6f5b61fe, 0x3714ffe3, 0xea9ac033, 0x1cc88694, 0x4b5d6df0, 0x431edfbb, 0x2ed898d1,
+    0xef635e77, 0x4bf00b98, 0x2093d282, 0x34a4ef99, 0x9a302dce, 0xb79cdac7, 0xaccce186, 0x90feb2f2,
+    0x897a95a8, 0x36ff9884, 0xeb2b713f, 0x5c7395c8, 0xe4547c7a, 0x8793a3a4, 0x6a4079ec, 0x8d28eefd,
+    0x0794dfb2, 0x02b3f20b, 0x1f231633, 0xd901aebb, 0xa6aef9c9, 0x0a4888c2, 0xfade8761, 0xa4c38548,
+    0x6b251724, 0xb3847026, 0x53fa9af1, 0x62a769d6, 0xd139f9cc, 0xa664707b, 0x95532dc9, 0xb9dd3dfa,
+    0xbb1b2414, 0x78afd9fa, 0xc789ec49, 0x5d859c3d, 0xd76d0d0e, 0xca24fca0, 0xcc4f8751, 0x95258d92,
+    0x9fd0c3f9, 0x121fda5a, 0x0a445bc5, 0x98bd78b3, 0xaa0221b8, 0xb33dc117, 0xebf2b59d, 0x16ccd17d,
+    0xe09110c7, 0x731ea658, 0xd0f3becc, 0xa06bfb3c, 0x08f1a115, 0x9ef3e71a, 0x6fb43400, 0xab7941cc,
+    0x5868e76a, 0x202514bc, 0xd51ef68d, 0xb0c3b74e, 0x3fdc45f0, 0xb2101568, 0xe9ce393d, 0x5e28b112,
+    0x529474ef, 0x52cad866, 0xef7ac4fa, 0xac3f99a8, 0x61ca9569, 0x0552a159, 0x9cff2064, 0x804f8712,
+    0x8ee5e2dd, 0x4652b66e, 0xa6382e5b, 0x1b185a43, 0x0a9d48c8, 0x4d1f95eb, 0x0dd45f2f, 0x76f5b83a,
+    0xd8181571, 0x537889c0, 0x3029cd8d, 0x8ad9471e, 0x4191ee7c, 0x257b7b45, 0x04cc9d03, 0x7686e8fe,
+    0x31eb0421, 0x06771658, 0x509ca160, 0x72f95df3, 0xee7cd110, 0x1f8be8e2, 0x5aa6620e, 0x02e5ced0,
+    0xd4df0d62, 0x1cbef2ad, 0xaf52b7ed, 0xfdec1659, 0x2fd61b04, 0x7c33df79, 0x43482162, 0x01b773ac,
+    0x400d6d0a, 0xbfc06fd5, 0xbd5a601d, 0x3258bc6e, 0x314ed65a, 0x793a03d5, 0x95a26a87, 0x24ce4155,
+    0x5dd3e13e, 0xc3e525e3, 0x7c3cc946, 0x6bb8f2b9, 0x36ce12d6, 0x93be94d6, 0xfc44d7c0, 0xebef2b20,
+    0x3eca3ce3, 0xbf491fd6, 0x793ea76d, 0x60004268, 0x9ef6602c, 0x55e8c8cc, 0xbd52e345, 0x40b1cae6,
+    0xb7710c5b, 0xcc4812af, 0x17956026, 0x9a145a49, 0x6a0beb0a, 0x4b0f3afc, 0xebf8178b, 0x2707887e,
+    0x6ca7c8d7, 0x8fdbcc27, 0x9f2aaa4f, 0xa71214a7, 0xb15ef1da, 0x8b9164c0, 0x2ecd51e9, 0xae997448,
+    0x1b9fd3b8, 0xc4b4e8c2, 0x9360d429, 0x39016aa7, 0x814a2523, 0x4fe73d51, 0x75c8b69d, 0xb1653081,
+    0x86547456, 0x01e45cbe, 0x97d3fc0f, 0x15753778, 0x19a34a8c, 0x0c09f669, 0x0c673d05, 0x5a7ebce1,
+    0xde80a117, 0x5e1c24ad, 0x2821224c, 0xabf7be7b, 0x6ff958d3, 0xd9b12185, 0xa70acbf8, 0x3455a30d,
+    0xa7503481, 0xcc1f6d45, 0xa631acbd, 0xdfab43de, 0x4d7d7f69, 0xdc92820a, 0x8b301cd0, 0x815da501,
+    0x4f4c1674, 0xb2ad12bc, 0x132ff241, 0x3ae75f87, 0x8815fe57, 0x1477267b, 0xc4ea73dd, 0x7d361a22,
+    0xbf9ae478, 0x1474a4fa, 0x9ce7df19, 0xa084651b, 0x8a39e436, 0xc0919e37, 0x327bc894, 0x1790737b,
+    0x910c2925, 0x47f81a04, 0xba506012, 0x3430ab14, 0xf8e60ea8, 0xeb420dfa, 0x7d60f4ee, 0x8c0cd0e3,
+    0x54db5791, 0x838d3608, 0x7906047c, 0xb0c2e912, 0x3c7bf155, 0x6e92b825, 0x5505c9af, 0xa1d9c3cc,
+    0x37ab1747, 0x528e1b4c, 0xb1ece32c, 0xd128007f, 0x43360818, 0x194b5285, 0x80e98244, 0x52c68a03,
+    0x5a057786, 0x7e329596, 0x37f53945, 0xb3b846d0, 0x4eba33e4, 0x3d807339, 0x40e27643, 0x67606846,
+    0x79bd8a84, 0x5760398c, 0xa29d1246, 0xf37512f2, 0xa6529b20, 0xf71cc08b, 0xb2bbfbdd, 0x5d232868,
+    0x55cff823, 0x83712321, 0xe84d971b, 0xf9bb52d8, 0x6ca69a85, 0xb454f8e4, 0xf2859b6c, 0xda8c027a,
+    0xbf6cfa3e, 0x64675eb2, 0xa0a3105c, 0x4a97fb48, 0x931ca59b, 0x0818bc5e, 0x0a74f619, 0xec44c47d,
+    0xf81f8e3f, 0xcd4aaf30, 0xaade4fe8, 0x78772191, 0xd1cc3b42, 0xcacb8154, 0x2e5a30bc, 0xc623bc71,
+    0x1c83f2fe, 0x4ea50121, 0x8d170454, 0xe2e47f9b, 0x426f3a82, 0xfc3b2327, 0x3134d481, 0xbb531035,
+    0xb9f6e1ec, 0x58f6d5c9, 0x36f1285a, 0xe5136109, 0x895af2ed, 0x96cadc3d, 0xa1b6aeef, 0x66b99513,
+    0x4d2ecc5e, 0xdce104bc, 0x7cb89a65, 0x7f148e36, 0xca810925, 0x1b7f136d, 0x3a617a92, 0x5e5603b0,
+    0x390029c6, 0x76fa8a09, 0x870d9a2e, 0x470ff0c6, 0x8035e557, 0x345d4edb, 0xf177454b, 0xf5f41612,
+    0xb2f47cb4, 0xc1d3f638, 0x96b623c8, 0x1b2c1f44, 0xe8061502, 0x6bba51e5, 0x3d6cb2dc, 0xa55252d0,
+    0xe82d3407, 0x2be09749, 0x8e96767d, 0x9b5e0c18, 0x9b1a47e8, 0x6da21491, 0xb45e5cfe, 0xb2307312,
+    0x105b0c7c, 0x9d62a924, 0xf08727dd, 0xb363ceb5, 0x3e461f38, 0x2b5855f3, 0x49a2b0c2, 0x67b8d6d9,
+    0x169d12fb, 0x2c95061e, 0x9494e3a1, 0x463577f6, 0x25804d70, 0x76ced7cb, 0x09e93dea, 0x6470708f,
+    0x7027609a, 0x16dc5349, 0x17e7058c, 0xae141c72, 0x030354f6, 0x213231ad, 0xd7eae51c, 0x4c11366e,
+    0x6bbd8d1c, 0x0f8b1baa, 0xc9e6d2d3, 0xf0ab0401, 0x24ae1068, 0x2376b4e8, 0x5da6074c, 0x342935f1,
+    0x0268d894, 0xfcdc1362, 0x493f1314, 0x4d43fac6, 0x6965f2a1, 0x079340c6, 0x808e4b8c, 0xaa42f02d,
+    0xe5699a6d, 0x2403dff7, 0x94471bff, 0xf6b6f05e, 0xa8293076, 0x853494d0, 0xb5af79ab, 0xe3afcedb,
+    0x7c6cb943, 0xc90ac0a9, 0x1c15d72b, 0xef3d5f91, 0x0701e6bb, 0x40e02787, 0xe2466033, 0x61a75c76,
+    0x9d591ed4, 0xeb9c971c, 0x61345eb6, 0x69dfa079, 0xb39e6a3c, 0xd3c73e8a, 0xb5d9d64f, 0x0c29f05d,
+    0x59b3338e, 0x7d39b04f, 0x842bb46c, 0x6912578a, 0xef557a68, 0xf4e4582b, 0x55c215a9, 0x27ccfc47,
+    0xca1e9e48, 0x94395fb6, 0x4ae7b598, 0xc1dc1d49, 0x9d20808f, 0xf8d158df, 0xdb87d3f7, 0x196d4f16,
+    0x50860370, 0xced323be, 0x7082ba95, 0x2b1a0f13, 0xa75d6635, 0x53f68cfa, 0x4fa593e9, 0x53cfa00e,
+    0x7234af30, 0x22068097, 0x60064fa0, 0x22eba67c, 0xdf0f2e97, 0xfa3823b4, 0x7c328055, 0x3bb962d3,
+    0x5ab9a9b7, 0xf3f043e4, 0xa64e5cf8, 0x050e1148, 0x24e36e65, 0xe50afcc4, 0xaacfb81d, 0x70934067,
+    0x285b052a, 0xa4ef257c, 0x053e634a, 0xf8e82a44, 0xd1c4953f, 0x91e303db, 0x286c43e5, 0x243c90c8,
+    0x05ad3d55, 0xbb1412ed, 0x1df31037, 0xcfa8126d, 0x26bfc298, 0x78849ddb, 0xe6754db9, 0x652683a9,
+    0xe82a3e83, 0x8f50388c, 0xdcc93579, 0xd780067c, 0xbad94cba, 0x2331e718, 0xbe1ad55f, 0x7c5291b6,
+    0xf7dea115, 0xbd5a529e, 0xd779cb3e, 0x2d0a6136, 0xe2f3732e, 0x2094cc6d, 0xa3c1edf0, 0x30fb5f2f,
+    0xe2b055f7, 0x371a59a3, 0xf926ca95, 0x886fecb6, 0x6809d14a, 0x3c2a1f8b, 0x390d887f, 0x59653325,
+    0x7109288a, 0x5aae8e42, 0x55f553f1, 0xfbe4e15b, 0x7d028baf, 0x5d764d36, 0x6bc32575, 0xc0c527f7,
+    0x9fdc5c27, 0xa6924628, 0x1a258668, 0xb7cde2f6, 0x368d11df, 0x21b357e1, 0xc9ffbceb, 0x974d9de5,
+    0x09413ba2, 0x38e56fa9, 0xba6ef665, 0x3e031d47, 0x74bd5d66, 0x1e467c20, 0xad7f1634, 0xfa5132ef,
+    0x2b213dbd, 0x197a440f, 0xd09f724b, 0xae6e3a79, 0x358b5695, 0x2f264119, 0x2af99e8c, 0x85c6276f,
+    0x231172e0, 0x4bd56d59, 0xbb26b735, 0x07dc688f, 0xaa19c66f, 0xde2a7304, 0xc2ec4f7d, 0x238028c6,
+    0x7c10e479, 0xe0a4de39, 0x4c13c71a, 0x80ed7ad6, 0x6abc0007, 0xe51cb87e, 0x9adc0330, 0x6ee61bf1,
+    0x4811ce07, 0x9ec61ba7, 0x80fcfc04, 0xb15fa8bc, 0x55353750, 0xcc5b1dfa, 0xe95574c7, 0x2f3f5693,
+    0x92ee8b49, 0xcd0c2bd4, 0x7f552079, 0xac2161d4, 0x9861ac6d, 0xc44c9c2b, 0x72c1a091, 0x6060c4d9,
+    0x79bb4799, 0xb54074fa, 0x1f9e9f01, 0x89ccccfc, 0xa5e7cc3f, 0xaa84f7cc, 0x296a7e16, 0xbedcb087,
+    0x2fe40423, 0x24ee17ed, 0x904d418b, 0xab2b9ef8, 0xc46513c5, 0x770f7229, 0xa1c8c19c, 0xfcd34685,
+    0xf5020dc5, 0x138db145, 0xa896d02f, 0x76794456, 0x3cd3264c, 0xed45d74a, 0xd46663b8, 0x2082b406,
+    0xacd039a3, 0x770cd860, 0x969377d5, 0x2d92bc4a, 0x49efa18e, 0x806aa0bf, 0xfad15fa8, 0x62dc2d73,
+    0x5fbf06dc, 0x7befed4d, 0x02be2622, 0x99205f5c, 0x547fb6fc, 0xe5744eac, 0x7e1f7763, 0x31ec80a6,
+    0x21388e4e, 0xe91c1b7d, 0xc718ab2c, 0x2e45290b, 0x05a7336a, 0x4ae7c850, 0x7e90c354, 0x4ef5baa0,
+    0x4cfddd3f, 0x24170de4, 0x29801c8b, 0xa6edeb0a, 0x59828708, 0xec8cbb02, 0xa584cb6c, 0x2842c330,
+    0x838a7045, 0x59a8c088, 0xe910c967, 0x91ce2acc, 0x7dadf62a, 0xc9a5b1cc, 0x926c2ac1, 0x227706a6,
+    0x7cd6e160, 0x1ceb5098, 0xe8a44bf1, 0xf2a1386b, 0x43b64b20, 0x66089cc0, 0x735f5c11, 0xcd01817b,
+    0xa3070a19, 0xb577fa9f, 0x65f2fb03, 0xf572cf16, 0x2b8f4dcd, 0xebda2650, 0x28c44134, 0xa6bd8bb2,
+    0xc01a139a, 0x993c3457, 0x6a6e896a, 0x631cc8f7, 0x3cd011e8, 0xcec6d6ff, 0x98543e8c, 0x72184d49,
+    0x8550ca47, 0x6c9a5c2d, 0x5426755c, 0xaf4ec4c9, 0xd2d08ee6, 0xe36f054d, 0xaf3b2179, 0xdb23a126,
+    0x95eec381, 0x8dc3d961, 0x08babc32, 0x8f0d01af, 0x39875330, 0x4471e548, 0x47473e0a, 0xed74c93e,
+    0x519a7f06, 0x5243c191, 0x25aa2e5f, 0x1540a7c3, 0x2a6b97ce, 0x441ef5c5, 0xec962bf6, 0xcdfb55e0,
+    0x70acde90, 0xb34ad0b2, 0xc9fb871a, 0x955e9e08, 0xa48ceb36, 0xfc39d629, 0xb06f57f1, 0xb546b94a,
+    0x0cab56a9, 0x1c41e6f2, 0x18297f28, 0x31cae04e, 0xd28882cb, 0xde6ebdc6, 0x470bbc15, 0x4fec468a,
+    0x3e19c34d, 0x01c9f269, 0xcf075424, 0x4178b9e3, 0x3d37c5e9, 0x620ef57c, 0xec974abc, 0xe42ca0a4,
+    0x2f1d15d8, 0xcb360412, 0x511961a6, 0x6a19990e, 0xb409b67a, 0x8191b3cf, 0x7b501b2c, 0x260f3b09,
+    0x090c1964, 0x0a8c6d9f, 0x9f73b900, 0x86ab71c0, 0xd235ef52, 0x6b732d83, 0xcb9c6c03, 0xb59ad15e,
+    0x2890840f, 0x47f8aba6, 0xfb413a51, 0x0bb1a0a4, 0x20a07f8d, 0xea6fc358, 0x9c0f475f, 0x9d8db602,
+    0x13bce6b2, 0xc3c60af3, 0x696bec00, 0x2670e3a7, 0x5278fd53, 0xdf8399c5, 0x2e7e8ac6, 0x7e898824,
+    0xb688a222, 0x76279fbf, 0xad78f5ac, 0x43369567, 0xcbf483fb, 0xc4171868, 0x8e93ce27, 0xe7de7f98,
+    0xf21551d4, 0x1e3ee5e9, 0xf8449643, 0xd54e6d3b, 0xda9b8338, 0xdb90a0c4, 0x915aa685, 0x689e5c87,
+    0xa1ee0e2e, 0xa7f777ee, 0x2eb9c3b2, 0x99cd1335, 0x1f577dd4, 0x2fa3c6d1, 0x31fb9049, 0xbfe3773a,
+    0xb7854b71, 0xb9e2e48e, 0xf4694cae, 0x35988627, 0xbea26ba4, 0x7af2562e, 0x8d3a56ee, 0x760b093a,
+    0xdefafa5d, 0xa16c25f5, 0x1a743548, 0x4321f97c, 0x5bd1aebf, 0x641ba254, 0x7729d12e, 0x54eb86e6,
+    0x3ebc8a1f, 0x495b2da1, 0xa8a5e899, 0x4175348a, 0x9e5dbf48, 0x6f3842c0, 0xc0c53e37, 0x304acc2b,
+    0x1cd9ae25, 0xb4feb62f, 0xd5cb8f54, 0xb27594cf, 0x54e17687, 0x4e7fa2fe, 0xb64d3cbd, 0x939223ae,
+    0x7c241ef0, 0xba8952dd, 0xa8f651b8, 0xf88602fe, 0xfe953bb4, 0xfc2a4732, 0x10ec8c5b, 0xbbd0baf3,
+    0x250cdfa0, 0x26d2a79c, 0x4948f5d4, 0xa4bbc641, 0xc985bc9e, 0xa627f7b4, 0x04b81e19, 0xb75cf71f,
+    0x416d8e2f, 0x066f56d9, 0x2c573699, 0x9361a3a4, 0x24bd0da7, 0x1d808860, 0xb6cb3f64, 0x848dd44e,
+    0x69088de0, 0x27b0ce6c, 0x1a978a01, 0xc2892744, 0xe417e6a9, 0x7c1ceaf5, 0xbc3838dc, 0x11b32e65,
+    0xb8d2eefa, 0x223f9c33, 0x88117596, 0xdf62f3c4, 0xb26225cf, 0x470d26a0, 0x77af27cc, 0x01e8c726,
+    0x95f3724b, 0xf510c4e7, 0x478c31ff, 0xcec2fbf5, 0x0e528448, 0x89bfad52, 0xefcfb85a, 0xb77bc80b,
+    0x00000000,
+    0x8074e994, 0xd4d1ad59, 0x5e508dbf, 0xe297a14f, 0x0eda0aa4, 0x1157062e, 0xccd7810b, 0xe8c3d317,
+    0x724a9bfb, 0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0x3ffffff9,
+    0x00000000 }, /* 10**-00000000062434971006319844627631944595863326114971962853299423017183139192507\
+                          43477639531240240612206126983942319653862242813245790895951358576570612580352 */
+  { 0x00000000,
+    0x1a38e795, 0xd06ee741, 0x43f29290, 0xc71a949a, 0x82cf495d, 0xae15615a, 0xe32e5625, 0xb95d34c6,
+    0x8c04d5b7, 0x9fda3583, 0xe84cf0ce, 0x947031e1, 0x5252854e, 0xab55ab4f, 0x25b3e28f, 0x4bc5708a,
+    0xd8d2b802, 0xc4fb61a8, 0x34ecbe46, 0x5b1a95c2, 0xf34282e4, 0xb62c3abf, 0xbc47b535, 0x3c254f72,
+    0x678eb4c0, 0x9e45805c, 0x2d7b1290, 0x0afb79bb, 0xc6eec327, 0x91a01a51, 0x0a76d424, 0x82fb4b42,
+    0x208aa3a4, 0xf9a663ba, 0xdf165ee2, 0xe8382574, 0xe4c875fb, 0xbb546a86, 0x4c1d46cd, 0xb468bb5c,
+    0xfd2a96fd, 0x03c51def, 0x2657350b, 0x9086c055, 0xad895740, 0xd692ec0a, 0x1d1aa1fa, 0x309ed853,
+    0x87f1da72, 0x2b7dc83f, 0x01ccfae9, 0x15f027fc, 0x0f573d55, 0x558d0a58, 0x7e6fe63d, 0x9f2278e8,
+    0xb54d65f5, 0x86282253, 0xc89e15df, 0x7ea24d05, 0xc052e8b8, 0xa73284fa, 0xc33c60d0, 0x60d03e68,
+    0xd3f75a16, 0x3ae8c217, 0x686af7f3, 0xea12aef8, 0xc7369a97, 0x697f6b58, 0xe50a0f04, 0x066ed3f2,
+    0x351ac641, 0x1e1478c4, 0x42f2b817, 0x9c643747, 0x18ab4094, 0x5ed040df, 0x5c4be4e9, 0x93240e6a,
+    0x9fba219b, 0x2b74ed7b, 0xaf87c956, 0xad5343d5, 0x1d5b04f0, 0xdea024fe, 0x86c7cb46, 0x2134482d,
+    0x7b0a8e13, 0x3d42eb81, 0xab50d9d2, 0xd6eb460b, 0xb52c81fe, 0xb83d316b, 0x8e27f30c, 0x069b5984,
+    0xe8258b22, 0xb1ea1f73, 0x4de7523f, 0x31c26e09, 0x295fdaac, 0x97e284b7, 0xe0b902a8, 0x9022fead,
+    0xae77aca4, 0xae73a470, 0xefc44d0a, 0xb73febf8, 0x172254fc, 0xc70a55d5, 0xa58bc339, 0x738af110,
+    0xa4218c59, 0xba0aa3a5, 0xc9823d9f, 0xc44e35ce, 0x061f3e26, 0x91bdc8ad, 0xadeb1687, 0x4d3c3f45,
+    0xf29e8162, 0x95480faf, 0x285e5e25, 0x1ebc65fd, 0x63c2c5a3, 0x5b666133, 0x55b07fe6, 0xb4de1a78,
+    0x9ab156cd, 0x25d0f11e, 0x92488e53, 0xba02afbf, 0x490ee411, 0xea6c4b42, 0x1fa15f6b, 0x7c24fb40,
+    0x654c9616, 0x1fa16bd4, 0x5375e8eb, 0xfcb4fcee, 0xc4699152, 0x61cdff30, 0x2af4a516, 0x83a6aa43,
+    0x0b1fbef4, 0xc0a305f3, 0xd3d544eb, 0x007edc6e, 0xc7ad326c, 0xa0287bed, 0x34e96c29, 0x92472e31,
+    0x54fcdf0e, 0x84abefe8, 0x4f6cdd70, 0x5cfc96eb, 0xc818bb8d, 0xdf757994, 0x9efeb12c, 0x3152d0c7,
+    0x2608b6fb, 0xaf85cee2, 0x40cee186, 0xaaa78450, 0xd4ff8b7a, 0xf6fd6f67, 0x0560a8d8, 0x29cb7235,
+    0xa91b3733, 0x522cdb33, 0xfd9cfd87, 0x006be272, 0xadb8d98d, 0xffcc119b, 0xb25bb6e9, 0x611cd5c1,
+    0xf9d3f0ae, 0x99c3b987, 0x8fb182e9, 0x9f370060, 0x0410d6b7, 0x172896c3, 0xf332f7ca, 0x91c6c388,
+    0xa9092dec, 0x7062718f, 0xf41982a3, 0xee92a6f2, 0xda5f81e6, 0x33a79683, 0x6801e9c7, 0x041ab1ac,
+    0x4821a04f, 0xe9de2501, 0x84f83f09, 0x8f091b9d, 0x68ef3b22, 0x20be3243, 0xf265e992, 0x08561363,
+    0x2e9f3a69, 0x9564f0c3, 0xa6559254, 0x7f547c7f, 0x448b33fe, 0xb4ef9311, 0x252f88d8, 0xc96154f1,
+    0xb6e9360c, 0x3945ba58, 0xcd40ec67, 0xee3cf7a4, 0xc7667abc, 0xb1aae845, 0x0dd59f48, 0x83e31f59,
+    0xe6250428, 0xc99dad00, 0x3124e4b7, 0x5c3c576e, 0x61f00066, 0x3849a478, 0x07ee6e91, 0xe35443a6,
+    0x4fb2ebd0, 0xb85a8fc3, 0x26ee0829, 0x16bd8301, 0xf10b2c37, 0xe910cdc6, 0x3f14455d, 0x2a0bf8b5,
+    0x6c713e61, 0xac893949, 0x30051d12, 0xaf5a92a6, 0xa5fd576e, 0xed82627d, 0xd2d02ff5, 0x25e50570,
+    0x46c282cf, 0x5c3d16dd, 0x9cda3494, 0x47b03fc0, 0xc969388a, 0x574346bb, 0x685e1011, 0xb0dd307b,
+    0xb3757f4e, 0xfd77fd56, 0x26d21157, 0x6118a9db, 0x8dd20700, 0xa361a273, 0x842d7270, 0x34129880,
+    0x96001819, 0x135996b3, 0x1ec478c9, 0xc4e85647, 0xa9505014, 0xd62a04f5, 0x2b33cd58, 0x8d6424d0,
+    0xfe9b1a29, 0x37c53b8d, 0x0f01218c, 0x87cd9e28, 0xc88b3e45, 0x32469497, 0x849c165b, 0x306ce9f3,
+    0xa3b30f2e, 0xaa751d37, 0xaa5ef622, 0x6a52b5a2, 0x96dd4410, 0x4bd8d561, 0xee10284c, 0x110df99b,
+    0x0d260d81, 0x96c93b0d, 0x71188f16, 0x6e44b280, 0x45bc4921, 0xf1692269, 0x235c3f69, 0x2e02fa86,
+    0xeb88f64d, 0xa4398611, 0xdaedef20, 0x9c4ea0df, 0x3532b8ca, 0x04f46290, 0x87865608, 0xd40be763,
+    0x061cf52d, 0xe1346517, 0xe6955906, 0x737f249d, 0x720ff801, 0xae6fe91c, 0xa1ab7d22, 0xf1e27368,
+    0x30909ab4, 0xb95bafa9, 0x037cb596, 0x858b30be, 0x0bde0bad, 0x2c07514a, 0x59de8036, 0x880b01e0,
+    0x66017d30, 0xf3efcd97, 0xc04b4372, 0x5c048b45, 0x57fb26bd, 0x00aeb3ae, 0x62ffd3a9, 0x3b7e5c3f,
+    0xa9b8bab5, 0xfe44847b, 0x736f11c3, 0x93f2d217, 0x6f939718, 0xb18135ed, 0x4c7e2259, 0x2db949f4,
+    0xb78c67fe, 0x18c08044, 0x7b67ec99, 0x30c4df80, 0x41f8b0fb, 0xe01b3c98, 0x56c72cab, 0x4ce72439,
+    0x6e28f6d1, 0x5c2c84d7, 0xa150301b, 0xd3706f11, 0x7d3fb850, 0xb7859125, 0x49222672, 0x5907ee7b,
+    0x163dc3ef, 0x7abb7e95, 0x91a55283, 0xc078d7ba, 0xea067acc, 0x9fadeb71, 0x8f01a2d8, 0xe0db4d63,
+    0x48e442e6, 0x897f5cb1, 0xd058a134, 0xaee30bae, 0xaa843a6b, 0x7f09a6c6, 0x1faeae26, 0x0b620945,
+    0x4d44337a, 0x89b8d2a5, 0x77ac4faf, 0x257d4fd1, 0x45de4949, 0x01c459bb, 0xa059b047, 0x76b6af26,
+    0x9b5fccaa, 0x095e139d, 0x17b256ad, 0x7b61556d, 0xeadb349b, 0x01a68cc1, 0x84f76bbe, 0xcfec7d2d,
+    0x0d800847, 0x89305d1c, 0x67cdabba, 0x3c58c613, 0xb174a163, 0x536138a8, 0x913b78a2, 0xb2c406d7,
+    0x768bce28, 0x569a827a, 0xba9dcece, 0xf3cf13e2, 0x48330894, 0x4ac1c11a, 0x9cf70da0, 0x1192931c,
+    0x16855836, 0xd7f9321d, 0x996a4680, 0x6ba8f371, 0x58b6dbc9, 0x1b6021a8, 0x82b254d5, 0x112b24d8,
+    0x4f0cf5b0, 0xe9556646, 0x9e34ea0d, 0x999677c4, 0x4f96ae46, 0x01c0d238, 0x8456d5cb, 0xe1eb4b6b,
+    0xa0e1ecf5, 0xb94edfb3, 0xb0243131, 0x63bf4e1e, 0xe0d16692, 0x4b8bbb67, 0x2dbfb37e, 0x86eb508b,
+    0x029f8acb, 0x52f5312f, 0xa62b33c3, 0xeb12ffea, 0x8b6fa1c2, 0x436e5a5b, 0x1877b7ac, 0xff23db1b,
+    0x9d1a5447, 0x02d46293, 0x3afa57f1, 0x3824dc47, 0x18451a26, 0x093beefb, 0x997cf9bd, 0xa8a5bc68,
+    0x8c6fe8a0, 0x598b59a7, 0x8ec4e5d4, 0x340d2cc5, 0x94fa8b0a, 0x15f190f3, 0x67a40c4b, 0xf824d488,
+    0x7b5fe9fc, 0x5295566f, 0x19953be5, 0xdae32e54, 0x0e88688c, 0x5807dfe6, 0xe8a3424b, 0x7e49157f,
+    0x974a2165, 0x8db4075a, 0xedf90647, 0xc4310e6e, 0xa20d5c9d, 0xa187a854, 0xfc67211f, 0x5ac2f07a,
+    0x35318095, 0x931ad613, 0xaaff577c, 0x40517926, 0x57a1e3d0, 0x5b9b5d81, 0x2d50eb5a, 0xd21dd302,
+    0xa37769f4, 0x31a76b74, 0xae6cb071, 0x8a20b845, 0xf9930eca, 0x68c5fe28, 0xa26dc17f, 0x6c970b1e,
+    0x1e46601f, 0x09e014f8, 0x7f374555, 0x7ddb6d20, 0xaa8c4ae7, 0xb33535aa, 0x368097af, 0xc93ac565,
+    0xdbf520a0, 0x793a696b, 0xa60457da, 0xf2e6ede3, 0xce16ea44, 0x9b00c896, 0x7e05468f, 0x7157b0a3,
+    0x2ec20863, 0xbec76b32, 0x86980c92, 0x866a7a5b, 0x981418bc, 0x523d7db3, 0xa5db7827, 0x17b5d192,
+    0x466c0dd7, 0x523aec08, 0x775f04d7, 0x3836c118, 0x87476cea, 0x39b64acd, 0xac7fe38b, 0x73536f43,
+    0xfcf7f321, 0xc60266f9, 0x8f871818, 0x516c50e9, 0xcc4f6ab3, 0x11d94519, 0x9b160910, 0x1dbae3ba,
+    0x52ef474b, 0xde6587fb, 0x4f19ed63, 0x43684ba3, 0xf6c1ccfd, 0x4502b983, 0xbfc45c2f, 0x1ec326ae,
+    0x4ef05dfb, 0xfe85c51f, 0x3870feaa, 0xff7fe2c0, 0x6cb68e54, 0xc79d84eb, 0xa84dc6b4, 0x68c0c259,
+    0xab4e26f8, 0x54e01b20, 0xb34a2ee8, 0x3cf86c54, 0x89543dd6, 0x7a591d5d, 0x162ac331, 0x8796d089,
+    0xe1b54f2b, 0x9dcc96a6, 0x121dcdb2, 0x2516a596, 0x0fbf9808, 0xab70f799, 0x56d19700, 0x965132df,
+    0x711ebb64, 0x232ad174, 0x658bcd9c, 0x4f1d57f2, 0x8a928b0b, 0xa10cd224, 0x499ff652, 0xfd9cd633,
+    0x10cf5b3d, 0x261ed409, 0xb4119d08, 0xfd77d1f7, 0x9f4e125e, 0x731a31f2, 0x1fc37577, 0x02d873e0,
+    0x96760ed8, 0x9d80948f, 0x884721dc, 0x48e1da66, 0x2eaf82f3, 0x12ff2b19, 0xa2c0733e, 0xa3646646,
+    0x5e76f8ae, 0x7dc1e097, 0x50d94462, 0x2510e4ea, 0x47b6d65e, 0x9cf3eaa3, 0x15a8fa1f, 0x890fb49a,
+    0x64aecd65, 0x2a8db197, 0x3b4d4a45, 0xdbd3dd6d, 0xae5c3160, 0xc89431c2, 0x36902e6d, 0x35c534ce,
+    0xc5be9c9c, 0x8c62ae7e, 0x48cf16fb, 0x0094b50e, 0xc0503cb2, 0xa283050e, 0x51959d5e, 0xd141fa83,
+    0xca63636a, 0xe94be233, 0xccf05f1d, 0x48cbe164, 0x933f16d7, 0x99ee0c32, 0x99716b65, 0x30e51bb5,
+    0x8fc6b56b, 0x609ec063, 0xec2ffd0d, 0x4eb40605, 0xad96f241, 0x3e7811a6, 0x19a2141c, 0xd78f0455,
+    0xa1b5292a, 0xe643398a, 0x1a22cbaa, 0xa99f00b8, 0xc76c8e24, 0xede7fd54, 0xbcd920f1, 0xed434165,
+    0x986b0b69, 0xecc22e51, 0x56e4879e, 0xc6f57ae8, 0x3d2e018f, 0xfe27ddc7, 0x25c1f5b4, 0x095fc0c1,
+    0xee66e601, 0x4580391b, 0xf82eaaea, 0xd671edd1, 0xab352626, 0xb130ff53, 0xc5eca853, 0x87e9d242,
+    0xb5ad0f90, 0x6fcd9707, 0x1d8538d1, 0xaa0cb664, 0x12f23227, 0x05c8e7e4, 0x49ae4119, 0x74d5a8fe,
+    0xc3baca36, 0x7c7deedf, 0xcf247f8c, 0x7a3323de, 0xf7558cb9, 0x5ea70aa0, 0xf45d34e4, 0x47eb92e3,
+    0x91a32720, 0xfc605a34, 0xc967b88e, 0xe4a1be35, 0x5e51e5e9, 0x23c72206, 0x45705334, 0xea75839f,
+    0xcea3ae20, 0xc4879939, 0xc3c43cac, 0x2fcf1389, 0xf4bd578a, 0xa81c7a3b, 0xaf869d86, 0x91a8e1f3,
+    0x9b5253ec, 0x84841751, 0x00a8d6b0, 0x0c541db9, 0x7bea599c, 0xad06c683, 0xd5aa05c1, 0xbacbb3b0,
+    0x9269ddba, 0x44a62c6b, 0x78c2c7fd, 0x3381e379, 0xc6c18b34, 0x0ecd65f9, 0xb6999c55, 0x3686a7fa,
+    0x6baf032b, 0x35158ebe, 0xe09c32f0, 0xab135f5a, 0x8b540eeb, 0xfb438225, 0xc0cf96d9, 0x3f970146,
+    0x04b21186, 0xf8a25473, 0xbfbd2259, 0x04823b9b, 0xf2c4cad1, 0xdc8f71af, 0xf21a73ce, 0x72df145a,
+    0xde145bfc, 0xbbef7112, 0x68476299, 0x6d51c902, 0x6fd65870, 0x8b6e7d93, 0x1ae1f04e, 0xac35cc24,
+    0x99f568c8, 0xd756eead, 0x6d4595dc, 0x17dcf956, 0x3116bd7e, 0xd3fe1c24, 0xb07e7a96, 0x9c3fb33d,
+    0x0253fedc, 0x0aaa92cf, 0xc97282d4, 0x02197f0f, 0xf5d75c5e, 0xb1211a07, 0xd0d29b6b, 0xf601fcc7,
+    0x99aeca20, 0xed86e2e0, 0x822310ad, 0xfbd83f6e, 0x30209f85, 0x4617f870, 0xc184819b, 0x02361580,
+    0xbf8660e1, 0x056ee22e, 0x1ea8376a, 0x6e8d6b2d, 0x8083be42, 0x93ff64c0, 0x41a24d5f, 0x2bdccec2,
+    0xf6da12d0, 0x50bed64e, 0xceff6b3a, 0xa86c3e5c, 0xaddeb9e0, 0x3847b1ce, 0x4da9ac0f, 0x3d24b28d,
+    0xba595403, 0xd1b75e18, 0x88fd05ab, 0x0c3f9ad3, 0x0a62a21b, 0x651371a3, 0x63340e20, 0xad701407,
+    0x13671320, 0xb46f1640, 0x971d2858, 0x53b688ec, 0xebfecd06, 0x80b2f096, 0xe6b211cb, 0xecddfab9,
+    0x29480964, 0x615f1191, 0x93e82aee, 0xc21f6b1a, 0x5b02b5c5, 0x7a83efce, 0xf7922d6a, 0xef8496b9,
+    0x29752814, 0x8c8877c2, 0xf571b969, 0xb631acb3, 0x96f68d4b, 0x9141a7d5, 0x5b326962, 0x873afd62,
+    0xc86f2789, 0x705bae09, 0xaebfbffb, 0x5eb46b10, 0x4baada9e, 0xbfe86128, 0xa71d5e4d, 0xc74eaf59,
+    0x6c123b98, 0x0002e4f0, 0x3f7a4d97, 0x96ad3636, 0x5cc017b4, 0xea2090a5, 0xc5ef5b2d, 0xa3f2e698,
+    0x191e2ac7, 0x4675d81e, 0xca9afb64, 0xeee2332d, 0x2c404a60, 0xcc2b84bc, 0xf9686e85, 0x4f5ad6cf,
+    0xcb144fbe, 0xc163daeb, 0x0f5761bb, 0xb462efc6, 0x5e80b486, 0xf26c8004, 0xb5600049, 0xa9dab2ab,
+    0xf76eb9b8, 0x8e5e8889, 0xb87dc2ae, 0x08f58a0b, 0x273ad7af, 0x82b80795, 0x420c97de, 0xe74c9d36,
+    0xf3e502b4, 0x4b6f53a5, 0xb7d9e00b, 0xa5268b53, 0x36d7f3ba, 0xf31e356f, 0x4036604c, 0xc74d4174,
+    0xf6ce8059, 0x20c04873, 0xa1f02359, 0x1de2e33c, 0xe9c19697, 0x34152d64, 0x397c9669, 0x4029ff02,
+    0xea72136d, 0x574c2400, 0xda189cb8, 0x207805a7, 0x0f2c5ac3, 0xdc46ba7b, 0xbda10709, 0x2309fa6e,
+    0x1573b80e, 0x62eb2889, 0xa220530f, 0x51509640, 0x149eaeb2, 0x55b16267, 0x77454c41, 0x14773d33,
+    0x4b66c4f8, 0x7642d959, 0xfdbc94e9, 0x3625e04e, 0x6ebfa501, 0xf1d07057, 0x11fea287, 0x517c2a88,
+    0xfb583007, 0xc0c63d34, 0x12d4558c, 0xc15e7acb, 0x7f954e57, 0x05af00d5, 0xec9338b5, 0xaa60169c,
+    0xe8ac1862, 0xca7dbbe7, 0x5d332b9e, 0x61b20aed, 0x53fe0e76, 0x2e7defb7, 0xd996cb6b, 0x16d60931,
+    0xdb90ebb4, 0x9053c9da, 0xe0ea5441, 0x500734ad, 0x850532d7, 0x49359ee0, 0xd6eb6e70, 0x3f7f21f9,
+    0x6c96f52f, 0xeb89a644, 0x9a094f66, 0x5cf6997a, 0x3c69643f, 0xf5cea1bd, 0xf00c8f9c, 0xf8da3112,
+    0xddc88977, 0x4c5daf60, 0x2a4f5ccb, 0xcfdbbe4e, 0x0e653470, 0x6390d5c1, 0x7bff5690, 0xfa266311,
+    0x2df3062e, 0x7af0d823, 0x18dee4f1, 0xddfe459e, 0xb2c6a0b8, 0x31dd6fdb, 0xeef99cc3, 0x39c91ec0,
+    0xdd6e5987, 0x1e9c0a6f, 0x364faa8f, 0xacdfb187, 0xd63cca66, 0x07296893, 0x3ed7fd72, 0x0cf6d030,
+    0x76fb0f53, 0x72e169ed, 0xbbc7620e, 0x1ca8932d, 0x43892362, 0x2c2b399c, 0x97726d91, 0x433cbb64,
+    0x6145342c, 0x0c3c80a3, 0x824fa586, 0x19df79c5, 0x6c72a0f7, 0x443fbb09, 0xb8e1f5b5, 0x362f71ee,
+    0xaa526c23, 0xa405bd40, 0xdd2f262a, 0x9be6c4b7, 0x36b1c1cf, 0x5c1e9a9f, 0x2c0b0904, 0x2bc8a56f,
+    0x0f208713, 0x3dcab7bb, 0xedf38aca, 0x6d917368, 0x3f87ca3e, 0x7bf7a5fd, 0x618bbb8c, 0x8db11e34,
+    0xb4a014d1, 0x188d5fe3, 0xcc127c67, 0x8af4ca1e, 0xa34525f4, 0x90ba9068, 0xc5aa54c0, 0xce6f2b1a,
+    0x53d7836c, 0x2c6ca766, 0xa2e0656e, 0x659de044, 0x0e0fd00e, 0x556b7501, 0xdd333bdb, 0x17f63032,
+    0x1a291d0e, 0xa10d74d2, 0x5156437e, 0x349beba6, 0x9d85efd8, 0x58c1194c, 0xc376f5f0, 0xc07a5e91,
+    0xbbdae658, 0xd120a561, 0x8ed2540d, 0xec740e64, 0xeb2eee68, 0x6e8a6225, 0xee89cbf4, 0x4876f8d2,
+    0xd83c37fa, 0x33ad5d7f, 0x59cc2021, 0x50ff83e1, 0x79770e45, 0x40b87c46, 0x7f4676e8, 0x83b373d5,
+    0xc2810c49, 0xcabc8f05, 0x03ba5cd3, 0x4d7520c8, 0xf8545208, 0xbc58c217, 0xcce994e0, 0xd481df2e,
+    0xee3d0676, 0xef459792, 0xc1493e6f, 0x497145ff, 0x2ffe2a72, 0x9d1cf5d2, 0x62a2a4bd, 0x2f6a9b45,
+    0xe571b92f, 0xc0365cd3, 0x679b21aa, 0x5f1bfd0b, 0x09888fc5, 0xbcff2320, 0x46b60d30, 0xd8bad06d,
+    0x00000000,
+    0xc03a74c9, 0xea68d6ac, 0xaf2846df, 0x714bd0a7, 0x076d0552, 0x88ab8317, 0xe66bc085, 0xf461e98b,
+    0xb9254dfd, 0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0x3ffffffc,
+    0x00000000 }, /* 10**-00000000031217485503159922313815972297931663057485981426649711508591569596253\
+                          71738819765620120306103063491971159826931121406622895447975679288285306290176 */
+  { 0x00000000,
+    0x79e05232, 0xfa741857, 0xfbf0eb28, 0xda56f74f, 0x96d335cc, 0x62ce4497, 0x66416293, 0xc93f0075,
+    0xcfcd76d7, 0x190060d0, 0xe13c091c, 0xbff12b1e, 0x165c0b63, 0x906b0001, 0x75067134, 0xe6552636,
+    0x6d90de3d, 0xc8bcb6f7, 0x6ac4e0d6, 0xb003642e, 0x4efea26e, 0xfa950e0d, 0x9c6f028c, 0x6ec3ae51,
+    0xd17d7102, 0x0c62218c, 0xfbdbf82e, 0x246f6914, 0xe8d220aa, 0xa65e43e6, 0x7bac68a7, 0x20f46c70,
+    0x3ae0123b, 0x3ec2ee4c, 0x052989b1, 0xa4922a89, 0x3ad96b94, 0x3a017c74, 0x1cccb304, 0xfea2603c,
+    0x28423d61, 0xefb93c70, 0x51ed6fc6, 0xcb35b075, 0x529ed4da, 0xaddb3f4a, 0x34c595fb, 0xbdf8bb67,
+    0x8f5d6f6c, 0x4a8bc126, 0xacdc72ea, 0x4f9c4faf, 0xb710db34, 0xeccae323, 0xc1811b66, 0xe9490159,
+    0xde1c46bf, 0xe696a2da, 0x12e1c043, 0x66e24ea0, 0x8ae6ea2b, 0x1040edf1, 0x9249c7c2, 0x5fd21cb1,
+    0x0ddd4cdd, 0x752fb9dd, 0x156f85af, 0x029f2727, 0xbcc22e59, 0x8547b0db, 0xbebf314c, 0x4ca6735d,
+    0xc68f7b63, 0x03d72a37, 0xaacfc4b8, 0x9337afdc, 0xa41a3a9a, 0x4077e6a2, 0x468a906f, 0xfe711bae,
+    0xa62231cc, 0xc9072285, 0x5773b448, 0x867b7423, 0xe2fabd1a, 0x82e36ab7, 0x30fc1487, 0x460ec015,
+    0x2a88e897, 0xcfc004fa, 0xb3b81f16, 0x27290aef, 0xaa233f12, 0x00056f84, 0x6e3403f0, 0xfc4bde9d,
+    0xab955f4c, 0x923b0e53, 0x7b214d5d, 0xc52fd6ad, 0x8a9d7fb4, 0x2910c64d, 0x02fdf0c0, 0xe73c28ff,
+    0xf25a36d9, 0xa7bfd9d7, 0xf423543c, 0xe3d956b8, 0x19a5b2bd, 0x82399fa9, 0x3a5916f2, 0x7a8eb714,
+    0x9dec8d5f, 0x4688b7b8, 0xe9909e9e, 0x3658d57f, 0x99de31a1, 0xcebda857, 0xc3335cbc, 0xdd59591a,
+    0x204b10f2, 0xc334b557, 0xed23cb1f, 0x941d0cd2, 0x20cbdcc2, 0xc7d254e1, 0x27fc4402, 0x05ab926a,
+    0x30815232, 0xfa0dd0ad, 0xfec3322f, 0x67c4aaa1, 0x6ec7d9db, 0x2338d78a, 0x9d1082ff, 0x48c9390b,
+    0xe06c2ed1, 0xadf7683f, 0xc129a832, 0x588535c1, 0xc00dc4a7, 0x2c4ed1a0, 0x3be5852d, 0x08484f71,
+    0x61c1f395, 0x38c564f3, 0x853ae585, 0xfbc324fc, 0xb490cc9a, 0xd5138bc1, 0x1072017d, 0x32f0c20a,
+    0x29593fde, 0x792fc525, 0x7484bf3f, 0x7243f188, 0x8155e0cc, 0xc06b2d85, 0x39ed2559, 0xa012fee4,
+    0x1644c615, 0xcfc0e00f, 0x521f2458, 0x8c769764, 0x52edc9c4, 0x3ec00c47, 0xed5cb900, 0x1a98e26f,
+    0x3b820281, 0x22e69ecf, 0x3ef08e5f, 0xba5056ce, 0xc738884a, 0x875ed221, 0xad46aa6f, 0x2f07478c,
+    0x928d8997, 0x9fd62724, 0x6b6c70ed, 0x9909707f, 0xe8d91371, 0x3044464d, 0x892d4696, 0xa122d328,
+    0x5d5a5f3e, 0x0e5dcc10, 0x49cbe335, 0x7b8d3aef, 0xb9ce7c9d, 0x083effe6, 0x9f895efa, 0xc12d768d,
+    0x8fd8432f, 0xe50d7ed4, 0x40c17401, 0x9810cc4b, 0xdf2ba358, 0x1bfdd96b, 0x476ff662, 0x750d6089,
+    0x75717e54, 0x7c6782d1, 0x0b22943c, 0x56f0f801, 0xe75943de, 0xdd9534a8, 0x4e9a8eb2, 0x92653994,
+    0x9c2e95a5, 0x90eb5f2d, 0x27302d64, 0x32d0f252, 0xaef7f9a6, 0x4f1057b0, 0x41795d32, 0xdd9d836a,
+    0x800690ed, 0x45d913a8, 0x71537405, 0x6d2861af, 0x726de3f4, 0x28329e73, 0xaf1e5d52, 0x77a8e3b9,
+    0x5799ba79, 0xade0285b, 0x983591e0, 0x52edf654, 0x7041f44a, 0x7c61ba72, 0xd97f2049, 0xd3700b68,
+    0xa00b6f72, 0x37121e58, 0xabe5b733, 0x7ed9ceb9, 0x2f6f9cbc, 0x77ab8f4e, 0xff50fc8e, 0x393dd02a,
+    0xbf5e3f1d, 0x96b79208, 0xf32b739e, 0x28379606, 0x3746d660, 0xa7639160, 0x153d5ae8, 0xf5a094d1,
+    0xec85cf36, 0xb4dc8190, 0xb10db9df, 0x6fb99802, 0x89e091e6, 0xc64fd50f, 0x25013edb, 0x2ac9cf6b,
+    0xd228541d, 0x13d6bc37, 0xc220ecfa, 0xac03dab5, 0xdee495fa, 0x4fac83b2, 0xe9c8e1df, 0x98c206cb,
+    0x9db580de, 0x45a31313, 0x22c2662f, 0xb6a218ee, 0x3e0d4bdf, 0x46f903f5, 0xf2cb2ece, 0x34982572,
+    0x47bd13a4, 0xa59da43e, 0xc49eba98, 0xa0c954c1, 0x5ae2bfc2, 0x0326daf4, 0xf8b98808, 0x349850d9,
+    0x77ebc984, 0x2e471606, 0xafac0d89, 0xc7633790, 0x8c08bf75, 0xa1165efe, 0x765c4304, 0x8d1a56be,
+    0x32b11699, 0xbfc144e1, 0x1be109f5, 0x51231aa4, 0xcb0ef0ed, 0xe75c8ded, 0x0a3da9cc, 0xeb960fea,
+    0x9b18f2ae, 0xa9a3b4d1, 0x1557cc84, 0x0159e200, 0x732c8c4d, 0xba84f789, 0xbdfbab74, 0x22944b6b,
+    0x0687657f, 0xb9a90c8b, 0x1e691f0f, 0x3a100743, 0xef365ec7, 0x2cf140c1, 0x2e6c4008, 0x28ec215a,
+    0xd353ea24, 0xa795f81b, 0xc4e45707, 0x1d502e7f, 0x5523145e, 0xa5bc331b, 0x5ebd1f64, 0x405b66b2,
+    0x0a2cd065, 0xac1128f6, 0x4c9a26e7, 0xa75bc2dd, 0x6f040cc6, 0x1ff0c76f, 0x4e5e77fb, 0x94499cac,
+    0xba74c3cf, 0x965e5a68, 0xb7b7cc18, 0x7ee89df2, 0x81f08fc8, 0xd74f17df, 0xef9b6da9, 0xa19fadc6,
+    0xf92b0911, 0xe30ffa12, 0xd8be4290, 0xfe7f778a, 0x97702495, 0xf4ab460d, 0x7f3f8e44, 0x2ecc661f,
+    0x018c8eb6, 0x96c524ee, 0xab42147b, 0xe4b0dbb2, 0xb7520e5a, 0x08efded9, 0x45948644, 0xbb25b154,
+    0xfcdc63a3, 0x68204426, 0x62cb0be1, 0xdb8d4696, 0x61a64bd0, 0x01b9a9c1, 0x9b91d7f6, 0x935d8ee9,
+    0x635c24f7, 0xfd1feb2d, 0xc3937b31, 0x6041ab43, 0x3d492c5c, 0xc6389b0c, 0x42e66e7b, 0x6776da47,
+    0x05acd3c1, 0xe4ff97e7, 0x1d031d3d, 0xf68f0008, 0x561abe65, 0x7904f482, 0x3d108839, 0x0e5176ab,
+    0xc90e38eb, 0xbc4c96c7, 0xc5a65dd3, 0x97284cb2, 0x3ead0910, 0x932a0bbd, 0x0124f0f8, 0x2cb267fc,
+    0xa0f6f995, 0xe4d09573, 0x85f942d3, 0x05e051e7, 0x1a953929, 0x87eadc0e, 0x2bb9c19e, 0xf65ef86f,
+    0x8cb40f2b, 0xed72dcb6, 0xf3604529, 0xaf8f5758, 0x46362eda, 0xfe2d871e, 0x34dcc933, 0xfef4421e,
+    0xa4af55dd, 0xcff16a2b, 0x1c31f851, 0x3bdefd73, 0x4fca811e, 0x45ed37c2, 0x8bd595cf, 0x0193ac86,
+    0xe18817aa, 0xd02daab6, 0xf65cacd8, 0x65e3c6e6, 0xe62224e6, 0xa33e60d1, 0xac1822a7, 0x3ed30d70,
+    0xbe28a232, 0x1324a6c2, 0xe4f9824d, 0xc01456df, 0x465e6d43, 0x7429c236, 0x0ac99bfc, 0x5a73291c,
+    0x09279164, 0x1bd85d17, 0xedb82ac4, 0x9ca9cd20, 0xf7c0b6e0, 0x5f14d7f8, 0x868e4bf6, 0x4b6b8b88,
+    0x55120a99, 0xab642043, 0x43cc1b69, 0xd7032746, 0x743506f1, 0xc6067dd5, 0x3bebe14b, 0x4493b3bf,
+    0xbda40613, 0xaddc6137, 0xfa4852dc, 0x7699f8c6, 0xcfb16566, 0x19a38cfd, 0xb46a2abc, 0x22e22f79,
+    0x23dc58b3, 0x308eecf8, 0xa1980e2c, 0xcc3f13ce, 0x1ce4c59d, 0x860a46d3, 0xfa530dcd, 0x0b324523,
+    0xb06947c1, 0x2d696e8f, 0xa7b41b45, 0x3e2ec054, 0xa483af29, 0x241c98d4, 0x47536499, 0x0d368046,
+    0x9d5ea4d6, 0x424da09e, 0x07a5cfbe, 0x560dd1d9, 0x23b6aff3, 0x778ae892, 0xcbeeffd5, 0x5fa3a6e7,
+    0x5e1fc6b8, 0x056a6404, 0xb7c3e57a, 0xb24d58d2, 0xa7d57cca, 0xe101cdb6, 0x252bcb0a, 0x8709c305,
+    0x4389037c, 0xd0ec8f65, 0xdc966e9c, 0x65062e62, 0x7711ba45, 0xa7c38912, 0x357b5be8, 0x4e86ece7,
+    0x85d90e52, 0x5e2309c3, 0x8d5075cf, 0x340556b7, 0xb10acf5f, 0x1a37e663, 0xfe24e4e5, 0xe5e5d608,
+    0x06d1a183, 0x76d05f10, 0x2076db36, 0x52d03d43, 0xa748f956, 0x1e60484c, 0x80f854d6, 0xd4756aa9,
+    0xbfdeb574, 0xb185d2a8, 0xb134de73, 0x8c4763fd, 0xe852556d, 0xca2f9c24, 0x39d637b0, 0xdcdad447,
+    0x2dd4ae47, 0x30e944e1, 0x3d86c492, 0xc102b76f, 0xb2037df0, 0x3877f250, 0x0a131b48, 0xb90cdcf3,
+    0x3990e2b6, 0xc8e3d604, 0xda7bd1e6, 0x8ae26f55, 0x6e4db236, 0x1a31ee7a, 0xaee05baa, 0xccf3caf4,
+    0x289c175d, 0x8a501410, 0x7cbc632f, 0x34977026, 0x722acc47, 0xdb6ff0bc, 0xb3c306ce, 0x761a25ed,
+    0x504b2850, 0x1e4f436e, 0xea4334d8, 0x58f53701, 0x226d5474, 0xe42459e2, 0xd9899813, 0x7bb6d1de,
+    0xca0c00c9, 0x0a38cd59, 0x4a94d27c, 0x3ea31aff, 0xdc5562aa, 0xbdb47ee0, 0x55aa7c3a, 0x80e5eba4,
+    0x457ac2fe, 0x1a69e5ca, 0x0e952533, 0x35e8abc1, 0x846e7fe8, 0x35a889dd, 0x91b9ff64, 0x37fde0e0,
+    0xc5b27114, 0xd78ed6ec, 0x807506d4, 0xa3c26dbf, 0xc4041a14, 0x37dfa48b, 0x1eb40b76, 0xceeb64b0,
+    0xcd954e8d, 0x2eca51e8, 0x40874011, 0xd72da22c, 0x49da111e, 0x4df00161, 0x6a4f790c, 0xa594de54,
+    0x4ef77d6e, 0x168846b3, 0x772c569a, 0x59d81898, 0x99081fe7, 0x435e86ed, 0x9d08ddc0, 0x584f6562,
+    0x8d9e68b7, 0xf610a48e, 0x8cf58c4e, 0x074e5400, 0x72c67809, 0x2a612aa5, 0xad1df6a5, 0x8c5daab8,
+    0xaf267e69, 0xbe387f9e, 0x21523b88, 0x7d4c2074, 0xa96ac336, 0xfe95342e, 0xe44b8e7e, 0x916788ec,
+    0x05d487d2, 0x58fe42d5, 0x4491a4f5, 0xa9f87dc9, 0xb39f429f, 0x918e1190, 0xbec1c372, 0xe3b33126,
+    0x0fdfd8c9, 0x2bbd68a2, 0xf9e4c98c, 0x216d161a, 0x64de788b, 0xf1693589, 0xa30b9fa8, 0xad4bafa9,
+    0xd54b8f95, 0x4c41695f, 0x573c0dd4, 0xe32c9c45, 0x3021c823, 0x0c786729, 0x3d827134, 0xa83aa62a,
+    0xe7e990b4, 0x10cbe56f, 0x1a3d4df2, 0x8acdb96d, 0x0419c001, 0x4e902ded, 0x5681791e, 0x16f688eb,
+    0x283175e2, 0xcda8505b, 0x400531cc, 0x8d5df156, 0x3841fd0f, 0xd94d0c29, 0x7f0bcbf7, 0x3af2df13,
+    0x285c4ede, 0xbfc194d9, 0x7ac75284, 0xed97a049, 0x7ebcf2fd, 0x1aaa9ea6, 0x2f5837f7, 0x97fd4f05,
+    0x540d128c, 0x8d866ca7, 0x36709f39, 0xa23cab58, 0xbb75af13, 0x3927f07a, 0x0a045022, 0xf8f50585,
+    0x9a4c20aa, 0xd750de91, 0x59cac905, 0xa2c6f9bd, 0x2e3858a3, 0x00f3d778, 0xa48db637, 0x6cf9ee1a,
+    0xa6e35200, 0x9b9f6a7c, 0x24d03872, 0x9f4b11fd, 0x687f1402, 0xc690a8e6, 0xd29c9a9e, 0x5c4fd5c7,
+    0x899455ca, 0xda24c216, 0x59989d31, 0x3a32cf8f, 0x1abacbab, 0xc1cc74b6, 0xdc365b8b, 0xa675cdb3,
+    0x04dd691a, 0x4c3d05d2, 0xd953b7c6, 0x7aa1c15d, 0x86902720, 0xb9159ea6, 0xc900e6db, 0xd8501473,
+    0x72854e33, 0xf794cbc2, 0x476f40de, 0x4a046c90, 0x2389ef51, 0xa3251e6f, 0x47865027, 0x3489118f,
+    0x31a55642, 0xe71238ef, 0x4b8c4505, 0x7fbc92b8, 0x3df09b4f, 0xe4a76071, 0xbe97a006, 0x8ebfb188,
+    0xd1d1fb5c, 0xaaba3e64, 0xfaa9460b, 0x3c8d625b, 0x3689b4c4, 0x5bbc99c0, 0x462c31a0, 0x592b832e,
+    0xff0357b3, 0x2b30b3f2, 0x4b20d4ff, 0xdc886619, 0xef19a44b, 0xd8170cd4, 0xcc968571, 0xf2ffa577,
+    0x2bf89b02, 0xab3102e2, 0xf6610dd0, 0x97e0dfe9, 0x1ec5aefe, 0xe865947c, 0x822c761f, 0xa14ec9c5,
+    0x7e4011e0, 0xfb453ae8, 0x2afeded0, 0x32b69ac4, 0xc517d070, 0x8f8bd71a, 0x60b44f37, 0x1986301b,
+    0x187e8308, 0x9469f36f, 0x8de8fca5, 0x44b676e4, 0xd6067b9e, 0x7cc9a7aa, 0xa810957b, 0x2168efdf,
+    0x8c55388a, 0x6238a8c3, 0xfb66662f, 0x72804ef1, 0x12a74dea, 0x33f1ed05, 0xad1c76b7, 0x693f16fa,
+    0x8d27abf2, 0xaa8332c1, 0xc3929f84, 0xc080cbbf, 0x9a4f9991, 0x3faa5fd7, 0xbb727df4, 0x8532067b,
+    0xa9b0bba9, 0x3499185a, 0x3d6869db, 0x3f3bfc8f, 0x4e3f77c6, 0xc53506aa, 0x327a05b1, 0xbffb9d3a,
+    0xc63fbde8, 0xcf7c6158, 0x2840de3a, 0xf9dc71c4, 0x47c28053, 0x97cfd36c, 0x327b5545, 0x3a5da626,
+    0xefdc6354, 0x358cc258, 0x1a651274, 0x379a096e, 0xc7feadfa, 0x818828e3, 0x8233ea49, 0x52aed3e2,
+    0xf25b9405, 0xfa91cfa9, 0xedab7eb6, 0x2add104a, 0xd60ed811, 0x2e35e877, 0xaa722cfc, 0xbe3d38b8,
+    0x4de09cd8, 0x7bcbc8f9, 0xf0859c5c, 0xf43487bc, 0x3a18e5ef, 0xc31ebe95, 0x99d28e59, 0x5711ecb9,
+    0x2d8387bd, 0xdfb95163, 0xefcd11c5, 0xd2dedec8, 0xfa11bbb8, 0x0ed6c9ce, 0x0f40058f, 0xb2c8c9b9,
+    0xe74a28a7, 0x6c1f30d1, 0x88ae6148, 0xcf22760b, 0xebffc2cf, 0x8c04fde9, 0x686878be, 0x4f1635f7,
+    0x76fdb078, 0xebbb9d53, 0x413a062f, 0xff1b95f7, 0xf5dd17e5, 0xfd843fc6, 0x56148bcd, 0xd0dd6988,
+    0x287e62a2, 0x78e2c48a, 0xd658ce19, 0xd5ab2680, 0x6fa329d3, 0xa6459c03, 0xf8ff9403, 0x60938876,
+    0xfbd1429c, 0xc29dad09, 0xd79f2a3b, 0x71d0b097, 0xbe3b46f0, 0x2205cf9a, 0xa6463269, 0xfff4d43f,
+    0xf4998b13, 0xc38f8c67, 0xd554b03c, 0x6cef21a0, 0xcc91d98e, 0x871b5c9e, 0xdf6b03dd, 0xb05799a7,
+    0xe29c8c8f, 0x28523264, 0xb1987c17, 0x11120c03, 0x29d54d31, 0xc1d3a51e, 0x799f7e92, 0x769bc67a,
+    0xf043f900, 0xb8afff15, 0xde659d72, 0x0a888b21, 0x76221a3f, 0xb5c4ccb8, 0x5b0a9ed4, 0xab045952,
+    0xdec2d85f, 0x5b28d7a9, 0xc80db980, 0x6d9ffc76, 0xd989a9b3, 0x1fa5b837, 0xf4114918, 0xb176ebbc,
+    0xc88383af, 0x2a961a7a, 0xf0d5647b, 0x6f79eaf8, 0xf5409209, 0xd0a4a69b, 0x2135a19f, 0x0956d6ef,
+    0xfa457b2b, 0x2127ca85, 0x01c29041, 0x328b313e, 0x6a49c563, 0xcd86357a, 0x463afd6c, 0xffe9f06f,
+    0x870064e6, 0xff52ba9d, 0x8dba3db5, 0xd2c1477c, 0x41f7a731, 0x8ac4cd92, 0x1690cd8e, 0xb49dddcc,
+    0x083e8ac4, 0x4d8e83ff, 0x8a7469f1, 0x26bc7c51, 0x3158f931, 0x112efcfb, 0x74cf5e85, 0xed6697fb,
+    0xe0fc708b, 0x4061389d, 0xeb38b3b0, 0xd5023325, 0x3a1614a4, 0x9484e1cd, 0xfdb3c60b, 0x19039d92,
+    0x02329ae2, 0x4e5bfadc, 0x7042517f, 0xfd03dda8, 0xd34c256f, 0x875d2eab, 0x7f00a63f, 0x5955dc21,
+    0xb05dac68, 0xd44adb60, 0x96c071e1, 0x59672cff, 0xd4caf2e8, 0xd30c61b5, 0xe5b7ced9, 0xc30c32db,
+    0x70847984, 0x3e08540d, 0x8c03b800, 0x2c6bbaac, 0x0b6f9fde, 0x41a50f5d, 0x428a8033, 0x369df693,
+    0x70507c73, 0xc831dc89, 0x9c70bcfe, 0x10daea52, 0x5cea0ef5, 0x3754356d, 0xd299e13a, 0x5513d1ff,
+    0x60665dab, 0x23888808, 0x4a4e7b4f, 0x9900d467, 0xdbebadc9, 0x4b7dd610, 0xec65a728, 0x147e5ffe,
+    0xc5987420, 0xf1aa541b, 0xa0bdcdc9, 0x8b95c5d7, 0x7a2c31f3, 0x97066f25, 0x17bfdf24, 0x987c73e4,
+    0x0a1bc0ed, 0x0a655c48, 0x6b9cc1a2, 0x48c3328f, 0x175d8906, 0xeec71f4d, 0x0b27ed12, 0x064c49a9,
+    0xe6aa6b66, 0x1c5053d7, 0xcb870d4d, 0xe0f18ae2, 0x86e4930b, 0x4d540a1d, 0x71331260, 0xb58aba13,
+    0xdb4bfa73, 0x8b02b894, 0x52955ab0, 0x3ebcce37, 0x57ac4b86, 0xcc6610bd, 0x928d8a7e, 0x9c08a1a7,
+    0xa27c3d1a, 0xdf6765b6, 0x39d023cc, 0x460ff68a, 0x28586378, 0x2dbb04c4, 0x6ecc6a47, 0x768c4caa,
+    0x0c97073a, 0x04f80549, 0xe999c73a, 0xd6516f7f, 0xbc5e0e42, 0x0819ceb7, 0xeb2daa8c, 0xb1109358,
+    0x87d013c1, 0xdf987f23, 0x03d96478, 0x231fa0ee, 0x5ac3ac32, 0x4a23e5d3, 0x1500d219, 0xa68eb98e,
+    0x00000000,
+    0x601d3a64, 0xf5346b56, 0xd794236f, 0x38a5e853, 0x83b682a9, 0xc455c18b, 0xf335e042, 0xfa30f4c5,
+    0xdc92a6fe, 0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0x3ffffffe,
+    0x00000000 }, /* 10**-00000000015608742751579961156907986148965831528742990713324855754295784798126\
+                          85869409882810060153051531745985579913465560703311447723987839644142653145088 */
+  { 0x00000000,
+    0xecaf3fe8, 0xae18ecf7, 0xd77d784b, 0x7d8232bd, 0x0d96ee1e, 0x2cc0fe09, 0xc46e32e0, 0x9a456c5c,
+    0xf2123ab3, 0x480face7, 0x900c02de, 0x84e6bda8, 0xcb0017aa, 0x6e07c010, 0xd70f6265, 0x55938f5a,
+    0x62b3dd11, 0x35b70632, 0xe995034c, 0xdbc346a2, 0x0f7e6f72, 0xa1a2d950, 0x70e577e6, 0x915583a7,
+    0x35e75142, 0x865344a4, 0xcfe24f6e, 0xc470c84a, 0x4d171f50, 0xea080b89, 0x247048d2, 0x10c27377,
+    0xeb8a5a92, 0x7d2e158a, 0xce8ee0dc, 0x40f1e504, 0xb8b2bca5, 0xb3446413, 0x7d06295b, 0x6e3cc759,
+    0x0a4e139e, 0x0cc21315, 0xb0f3dd87, 0xc5fb373b, 0xc5e131cf, 0x32a012c1, 0xb3374775, 0x669f16f2,
+    0x58f16b74, 0xab5d9622, 0xe3f4648a, 0xf1bc3167, 0xcdf351ee, 0xa9ffcdfa, 0x0060bbc2, 0x7bd3267a,
+    0xfe5248ce, 0xa1eca76f, 0xa39e0df4, 0xed4fac0a, 0x5f21cefc, 0x2ae302fb, 0x41101c16, 0x4ef565f2,
+    0xed228fa3, 0x5db5e41b, 0x196a0c83, 0x328fc28c, 0xd515262f, 0x2ec3b0c5, 0x1aafd2d9, 0xdaf9ba02,
+    0x58102b62, 0x1314fbb7, 0x3a71c5b0, 0x8233dda6, 0x94116a7e, 0x5df736a4, 0x8ca49fbd, 0x2b686e34,
+    0x8c36c713, 0xcd9afb32, 0x650af78c, 0x38080ffc, 0x41d4547a, 0x3510407d, 0x62cde74f, 0x0fc6007a,
+    0xa922d4fa, 0xdddf1850, 0x25e7dfc7, 0xcaf02890, 0xd10d1a21, 0xd85d4d54, 0x9f11589d, 0xa22669bf,
+    0x99961fd8, 0x0eb89596, 0x02c90c5a, 0xa5b94f5d, 0x674634d6, 0x29effd90, 0x8898daa2, 0x23d11d2c,
+    0x82c7fdd4, 0x746c4c52, 0x4e8de95a, 0x4218e38b, 0x18f375fa, 0x259159a0, 0x7ad4b419, 0x6d87441b,
+    0x3024f1d6, 0xe6287e9f, 0x8803f309, 0x8c2267f3, 0x2e1da4e0, 0x73bf4141, 0xab760d88, 0xec97a385,
+    0x9cfa6356, 0xad4d054f, 0xd3af0128, 0xe729fc8d, 0x98947cc2, 0xcc9e6a7e, 0xea78b3d7, 0xb7176968,
+    0xbe9f76cd, 0x34cd849f, 0x2d08ebc0, 0x94f0ae81, 0xcf81e574, 0x95e03c3a, 0x63a98514, 0x181d2f60,
+    0x6408bf37, 0xaafc6212, 0x9b435b4f, 0xa9c58026, 0x7b2cdc30, 0x754fba5e, 0x10dd2a06, 0x6c08e356,
+    0x2c8e9bd3, 0x10362238, 0x68159dfd, 0x3c266a8c, 0xdf120cc0, 0xdf1ef5c0, 0x47db4751, 0xdcfa198c,
+    0xe951ea05, 0x0142f228, 0x321bd931, 0xd3432de2, 0x1559d183, 0x71314f13, 0x41a9cd4b, 0x8e177876,
+    0x0882b797, 0x61bd5061, 0x6f071133, 0x25c16ac9, 0x5b3ed0d4, 0x01fe3f9d, 0x378ab324, 0xb636a212,
+    0xdfac141b, 0x663be3d2, 0x3fba3aa8, 0xcf61db20, 0x6facbaa8, 0x00c0914f, 0x63f2778d, 0x41cccd67,
+    0x169561a9, 0x61c636d7, 0x1ee27bb1, 0x9e097f97, 0x156baa35, 0x8c0415b5, 0xafd27ab5, 0xa0cb72b4,
+    0xe3ee4003, 0x190f1b03, 0x50286696, 0xa06b2e34, 0x0f6ae4e5, 0xd73f5f45, 0xdc11a606, 0x4a3bed16,
+    0x513527f1, 0xd2426d9b, 0x31eb6848, 0x4eae0216, 0x3102824c, 0xa59868a0, 0xa7087e02, 0x0ba78eb2,
+    0xee455e7e, 0x5289c1ba, 0xe80ecfed, 0xda10851f, 0x446f9aba, 0xadeadfaa, 0xd1cc5212, 0x74536467,
+    0x3e83d991, 0x28eb73ea, 0xede803e9, 0x54b04408, 0xebd43402, 0x95fd2230, 0xcef9b06c, 0x9102edc0,
+    0xcce721fe, 0x86800e62, 0xe19f2ce4, 0xfcb3f18a, 0xebb54784, 0xadb64975, 0x74f05a9b, 0xc7c971b6,
+    0xee049de4, 0xc4d94f26, 0x1d80ab84, 0x47f77f13, 0x8cf8767c, 0x3a834902, 0xd58f36e7, 0xc14e1b15,
+    0x965d56d4, 0xd349692c, 0xe6e7349c, 0x6020bed8, 0x98c5b4a1, 0xfdd15b3c, 0x77649be9, 0xd21eeba1,
+    0x920b6433, 0x7cff8d42, 0xa6a0db9b, 0x08cf9a28, 0x7fedbbf4, 0x84418fbb, 0x0835d2fc, 0x77bc1a57,
+    0xc3e3f8fc, 0xf57201cb, 0x366f0354, 0x054c9db3, 0x73f9981c, 0x97ff9585, 0xa00ab2dd, 0x897e7083,
+    0xc8fc5bdd, 0x0995b18b, 0x61ae45a6, 0xb0981336, 0x74a66c8f, 0xe7459fd9, 0xbd4c8fcb, 0x70f83360,
+    0x7d6f55f5, 0x7349d695, 0x7330f480, 0x5e0bf255, 0x79bbc1db, 0xe382c84b, 0xf7e00cf5, 0xf3e9cd82,
+    0xbe1be888, 0x5cbd0ecf, 0x740aed12, 0x22817e4a, 0xca2143d4, 0xd70c687c, 0x60eac949, 0x47916543,
+    0x625d1774, 0x9df8bebf, 0x5b7b83e4, 0x9444703a, 0x28cd3728, 0xd7d2fea6, 0x9d0935b3, 0xdb3a6ebd,
+    0x9028fedd, 0x6fbaedbb, 0xa161b5ea, 0x47c9dd2d, 0x5753062a, 0xdd18a96e, 0x387f349d, 0x0da0577c,
+    0xd7c482ea, 0xfb1dde1d, 0x103ad169, 0x47b0da70, 0x274012c7, 0x63bf592a, 0x1653e160, 0xd4f5fa0b,
+    0xfa66a858, 0x02ea01d0, 0x3a050c07, 0xde8cd983, 0x9ed54147, 0xcc4a33ae, 0x5a1cb073, 0xe11ba501,
+    0xe17967e7, 0xc58d193a, 0x84df6d9a, 0x7e3753ab, 0xad71851e, 0x75b9e13b, 0x68f429a0, 0xfce109be,
+    0xc5f4a6bd, 0x8461c810, 0x3973905b, 0x581e0618, 0x7a4cef79, 0xe78cbbb6, 0x12235a05, 0xfc9182de,
+    0xc85de22c, 0x4338aacd, 0x230b5dbc, 0x02d2ada5, 0x8252ddae, 0x24576bcd, 0x7548ba87, 0xd6399205,
+    0x10e88c47, 0xde87cd86, 0xf9fff7b9, 0x6c18be48, 0x9f541a08, 0xb561355b, 0x1bff3b9e, 0x3536f50d,
+    0xf28c5f14, 0x81756f82, 0xde5f13a0, 0x7fcb73b6, 0xafcd90b7, 0xe8a736a4, 0x647a83b4, 0x2d743699,
+    0xd3ad1d43, 0xabd6aeb1, 0xa724c9a0, 0x4cd3977d, 0x94998ebb, 0x6da6e8ea, 0xf5108179, 0xe31b5a17,
+    0xf54fc7a1, 0x71042258, 0xce2a4f62, 0x49cb53c9, 0x48577a2b, 0x605de094, 0xec6fae6e, 0xf6fdaf80,
+    0xcf04836d, 0xbaabfcf2, 0x727dddd2, 0x45d0605e, 0x8e48160e, 0x95cd1462, 0x6399a08d, 0xff7d2094,
+    0x09a9d557, 0xb146a628, 0x65f1994d, 0x973deb1a, 0x39c9f7e3, 0x0af49387, 0xd6507951, 0x3730fc11,
+    0x684dfbce, 0x37bad501, 0x2b2a44eb, 0xd8e899ef, 0x6365f378, 0x862e54a7, 0xdbdcdbc0, 0x2c5c115a,
+    0xfcead446, 0xd6bf5b0f, 0xdb14ee25, 0x0370c9c3, 0x31b0e4ff, 0xa4d894e1, 0x48e0678b, 0x6c994520,
+    0x46a1ef61, 0x524be36c, 0x55f53aa6, 0xec80ac87, 0x1ff653af, 0x59e6274c, 0x8eb75388, 0x00401f3f,
+    0x8e49ac71, 0x9aff80f3, 0xa2ca5e00, 0xe40051f5, 0x450b6cfe, 0x737628c9, 0xab6de3ff, 0x507ae114,
+    0x47e1b725, 0x7868a0da, 0x66fddb91, 0xfd73b229, 0xa3a9094a, 0xd1697a19, 0xec8a76d5, 0x0863d905,
+    0x9b3d614d, 0xbee083e1, 0x7eb56ae7, 0x1d88ec55, 0x76ce275d, 0x6add755b, 0x08a9c6dc, 0xef4b336f,
+    0xf42a3fe1, 0x1ff6eca5, 0x34b0068c, 0x332a4d7a, 0x88827c48, 0x27aabf95, 0xc72b4a75, 0x5f2fbe38,
+    0xf8955194, 0x8fa92ab9, 0x39f6b398, 0x5c994fec, 0x5de4103e, 0x8fa8c85c, 0x5ca69ed4, 0xbfafec45,
+    0x50873684, 0x735c9488, 0x865c34bc, 0xd0ee8b8b, 0x3f78c3e5, 0xb3e81f23, 0xb3bfa2ed, 0x34a79d08,
+    0xdeade5e0, 0x0a8b265f, 0x0d4e24b7, 0x1e20c9f5, 0xc1217e65, 0xb11eb35f, 0x670abf90, 0x561f455a,
+    0x44123c8c, 0xf4d4380f, 0xae83867a, 0x9dabbe72, 0x8dddc39c, 0x38be0de4, 0x2540018e, 0x65b700a9,
+    0x4eead873, 0x8e1a5de8, 0x401ad89c, 0x20eb6627, 0x74c73846, 0x25d5936c, 0xe46c067d, 0x95eff606,
+    0x0adb929d, 0x2b401c45, 0xce7ae151, 0xf3a38e4a, 0xe794bf48, 0xfc10207b, 0xe9ee9861, 0xba931809,
+    0x44108288, 0xca925fb7, 0x41029966, 0x7ec09624, 0xed9dc574, 0xbd7d2f83, 0x70b6a3d9, 0x6929de46,
+    0x78c08ac9, 0x108875c0, 0x4510b511, 0xa63c9798, 0x4b376c48, 0x5ca41342, 0x40004e72, 0x01d24b64,
+    0x5803e0b8, 0xb6641259, 0x4785afef, 0xef9f6bcb, 0x7f369519, 0x10fbccdd, 0xfb1a43dc, 0xed79c3b7,
+    0xdc9cc536, 0xcb3ffffb, 0xf39bf09d, 0x286ef24f, 0x0c325ef1, 0xad583719, 0xecf14623, 0x6dc38eae,
+    0x78130851, 0x572b7f04, 0x5ab7f75e, 0x6fbee559, 0x6a85a898, 0xc5a75890, 0x61d31790, 0x344210a3,
+    0x349675ce, 0x73a67c9f, 0xb0ba883e, 0x58e4b84b, 0x6f5edbfb, 0x3a7ed3d8, 0x59341b6d, 0x4cf1e42c,
+    0xc72fa2c2, 0xb8c24136, 0xe8f8a123, 0x549f8c0f, 0xa4c95cf6, 0x84484d13, 0x7f0a7519, 0x9cef1e3d,
+    0xe5df027c, 0x39391720, 0x424ad3cf, 0x079c298d, 0x5c48ab7a, 0x6cc407a8, 0xc363cdd8, 0xc8d9e830,
+    0xd9158c63, 0xdef074de, 0x152cadbd, 0x6293d31c, 0x821da023, 0x384aab33, 0x29e710eb, 0x27ca0a2e,
+    0x7d614484, 0x558d7a80, 0x5979f79a, 0x60c3be0a, 0xa8b6a9cc, 0x406f229d, 0x9e61bcc1, 0x0d3cf2e7,
+    0xb7e389c6, 0x9e7ae2c0, 0x01a05950, 0xb1510984, 0xc1159c10, 0x3748c881, 0xe9e32304, 0x1a42c856,
+    0x24d41bef, 0x8af100aa, 0xbd673188, 0x28cf4a25, 0x2a414c44, 0xa876c5d7, 0x85741f47, 0x89e89418,
+    0xc8bf1584, 0x98c277ca, 0x9377caca, 0xbdb11b3e, 0x6f84a069, 0x9351b8a8, 0x20313454, 0xf091c2ff,
+    0x3f0a0e8b, 0x3446cb74, 0x3cefdb7b, 0xc1f5d3ac, 0xc99ba123, 0x716cd741, 0x58467de7, 0x15ba804c,
+    0x038d77fc, 0x7845a004, 0xe26b4006, 0x8adf36cb, 0x64dbe70d, 0x80b27e06, 0x0d031434, 0x8571cee5,
+    0x46b870d9, 0x767dc858, 0xeb4354d6, 0x30d51552, 0x41a136be, 0x19528d51, 0x5db5588d, 0xf3a62d6a,
+    0x8bd5c57a, 0x81954d39, 0x709ed6ac, 0x63ed653f, 0x9e53ee4e, 0xfface1e3, 0xa3cfbb2a, 0x6dfbbe95,
+    0x4a4cac07, 0x27ea6076, 0xff1c10dd, 0xe982c7b1, 0xa1e3e8e5, 0x4cac6312, 0xf56e1922, 0x566fde05,
+    0x1ba2f65f, 0xd3738b86, 0x82130135, 0xff95665c, 0xc801108e, 0xa3698392, 0x51af1a67, 0xcc507c53,
+    0x645935b4, 0x3f86d89a, 0x555f6f51, 0x86f52814, 0xd35d8515, 0xa3e63256, 0xd12821a3, 0xd210bba3,
+    0x7b8625d6, 0xdc37bdfb, 0x5e64ec84, 0x9de90c1b, 0xd39c0518, 0x7f72b125, 0x343a41f5, 0x14c180ff,
+    0x0549ac9a, 0x712f2cb9, 0xe2a712d2, 0x4e36b047, 0x14074e57, 0x55c3b465, 0x018f822a, 0xd1963e85,
+    0x9b211e0e, 0x4453dade, 0x0bd75b1d, 0x489519ea, 0xa9c7fd1a, 0xe630db16, 0xffa63e6a, 0x782ddb27,
+    0xb47cd2a7, 0xb4e7daa5, 0x15db463b, 0x97075b27, 0x2c1d30cd, 0xbaf4d70e, 0x1b292f62, 0x21eeaf59,
+    0x0a34cbf1, 0x857b103c, 0x121b5015, 0xed787e83, 0xbf65289f, 0xb2a7c0d1, 0x3567f8c8, 0x8727360c,
+    0x070228a2, 0xe613e0c1, 0x806ac92d, 0xe2dab42c, 0x007850f5, 0x2ebe490e, 0x5a26cc2a, 0x9530c42c,
+    0xebd273e7, 0x84aca3ad, 0x170f0d7c, 0x35979549, 0x9c487b09, 0x6bef88b3, 0x01dc1898, 0x6d2d7d8c,
+    0x8c204a55, 0x10e5e11c, 0x4f43eb18, 0xc4e53ba1, 0x10514544, 0x5c27387b, 0xa2d6217f, 0x7f18ba62,
+    0x9937a073, 0x0474f97d, 0x387a401f, 0x8e49dd23, 0x71e71bc0, 0x97c57f8c, 0x4f1decf4, 0xd70880ce,
+    0x45d84645, 0xad328146, 0x292981e6, 0x2ef65aa0, 0xfb6ddace, 0x3bc5f61e, 0xc75125b4, 0xb5d3b7ef,
+    0xe175fd8f, 0x2ab13ca5, 0x0350dc73, 0xccfacd79, 0x4faafcaa, 0x6847fd59, 0x5348137a, 0xb9eae6f9,
+    0xbe5378b1, 0x30a36d92, 0x78b0cc5a, 0x60e998bb, 0x0f8f235b, 0x4ef5fa59, 0x507081a9, 0x3b175028,
+    0xa4f2170e, 0xd3693c70, 0x280a8371, 0xf5a4c97b, 0x637f1df7, 0x6c6d68ad, 0x205dd76f, 0x845e7ea9,
+    0x751a1b42, 0x92c10778, 0x88030a04, 0x36662775, 0x7e55067d, 0xb67df03a, 0xca54a751, 0xfa9b677b,
+    0xbffb7ffc, 0xcc43c8c0, 0x185b565c, 0x6be35ee0, 0x2224485e, 0x916da467, 0xea816dee, 0xc648d200,
+    0xf232f6b1, 0x066fe70e, 0xcd871258, 0x09eb4ce2, 0x8ea4bc2d, 0xe3a7a859, 0xe2be9bca, 0xf0b5f8c0,
+    0x1c860fc4, 0xd35dc5f5, 0x7c1b37d9, 0x31c3f91d, 0xb66e6749, 0xa1ef5deb, 0xd19f004d, 0xb813c229,
+    0xc663a8f5, 0x8fe4b8d0, 0x8b1f2a55, 0xe59758a0, 0xfde70978, 0x86bc1ca0, 0xb04d279a, 0x3e20ee39,
+    0x5856c1ed, 0xd16105f8, 0x682c6561, 0x196ada4d, 0xf6d847fa, 0xbbe86e98, 0xa3d891ab, 0xe106bfae,
+    0x3ac8ed46, 0x02ff28e3, 0xee6ce1c0, 0x978e6be9, 0xcc79c5c9, 0x12f47df7, 0xe377211e, 0x7fc10c34,
+    0xdee60643, 0x82e1b015, 0xa4bb22a2, 0xd6304c43, 0x2a5439ab, 0x21a6a800, 0x7ed23873, 0x185a4826,
+    0xe0714d32, 0xa8e4a693, 0xc430cae4, 0xdc04c9a8, 0x8c6eb296, 0xb3d87ed2, 0x59e4d4f3, 0x21253d0d,
+    0x418a3e55, 0xf279b349, 0x0e8112a5, 0x2611146c, 0xe6569a2f, 0x11a6814f, 0x2a0dd29d, 0x76eb8d5d,
+    0x9eb45afe, 0x025f8ffd, 0x3e5a2b17, 0xb817f7c6, 0xe578359b, 0x111b9db1, 0x2366fd8f, 0x6413815b,
+    0xd35104b6, 0xc143567a, 0x83a6f184, 0x20a204b9, 0xca625328, 0x4faa907f, 0x33bf8a72, 0x225f2bf6,
+    0x52129287, 0x39bdd75a, 0x1ddf54da, 0x2aa3fd19, 0x76b87022, 0x320ce999, 0x65ba5007, 0x62028cd3,
+    0x06f041ae, 0xe05c8f3c, 0xeb0ac88f, 0xe312c664, 0xccf71e52, 0x38eb2d62, 0xb666ffe7, 0xf0169653,
+    0x765f61f0, 0x23d3755d, 0x57369995, 0x42d79f00, 0x8b144553, 0x1667d8eb, 0x008725aa, 0x8b9fac03,
+    0x56c082b4, 0x30c902c9, 0xbd03c673, 0x63e05bf6, 0x14e992c9, 0xd57a363c, 0x2d2db3b7, 0xf39ab0a5,
+    0x2e6667f1, 0x68961d6e, 0x4a9a9911, 0x15ec246f, 0xdceb1a25, 0xee566b2c, 0xb9f3df13, 0x482c1ca0,
+    0x1896ad9f, 0x5d237d01, 0x4c336339, 0xb372b6ee, 0x42576457, 0xe08851d5, 0x4267496d, 0x9f60ca66,
+    0xfff973d8, 0x9105174e, 0x7e26e789, 0xcdedb661, 0xda0b7c8e, 0x56b79882, 0x2ba2a5de, 0xcd81036f,
+    0xac38014c, 0xd4330a6f, 0x618ca01b, 0x8dc17be2, 0xd0bc9441, 0x42e27386, 0x9d0c25b0, 0xfc3d2cfd,
+    0x5998cda2, 0x4de72b58, 0xde80f7a6, 0x69192913, 0x1fd314b0, 0x91325795, 0x2155e6ba, 0x084a8173,
+    0x3373c9bb, 0x54cb619e, 0x5bf07df9, 0xa63f7c26, 0xc8b588d5, 0xd6bfe807, 0x8634cfee, 0xc66d3a0b,
+    0xbe1f9e35, 0x1f48f706, 0x1a3e4668, 0x9cab9866, 0x39de13a3, 0xe0cd5f42, 0x69513a82, 0xa592334a,
+    0x61875c47, 0xa8d878df, 0x4ad96dff, 0xb01d35bb, 0xc9ff4bf7, 0xa2670186, 0xd31204a9, 0x62f86955,
+    0x1a662601, 0x40dc901f, 0xeb94beae, 0x20661a65, 0x5f84719a, 0x25322f95, 0x85c60110, 0x3c56972f,
+    0x453e36f8, 0x1bc6627f, 0xbead95dd, 0x046ac795, 0xf3939121, 0x91bc1c9d, 0x3ee09bd4, 0xf3a3fb81,
+    0xe6614957, 0x91ab40e2, 0xd6493764, 0x09f12423, 0xbb6beab0, 0xac1ef70f, 0x979869ff, 0x0b2f0d3d,
+    0x2838a160, 0x152b3e50, 0x7abeb9f0, 0x43e08a5d, 0x33d4a824, 0x82eb6226, 0x782f1c89, 0x9f6d84d2,
+    0xbd9bf6a9, 0x0f1044a6, 0xa4e1b21f, 0x97bc2554, 0x38e193e9, 0x79c5fc84, 0x937c464b, 0xdb35f9a4,
+    0xa50730ae, 0x3a283d52, 0xc8217f9c, 0xaf5c71b0, 0x53f5f576, 0xe95c86b0, 0xd3bea6a6, 0x24291018,
+    0x73f391bd, 0x9f059ff7, 0x91487f7c, 0xf4c25182, 0xc7c3b406, 0xbfee4a06, 0x0d603c08, 0xc30b7887,
+    0xabb4c43a, 0xcd209264, 0x72cba22b, 0xdea33f27, 0x759d0aee, 0xfbe7ad41, 0x88c43607, 0xce7dd09a,
+    0x00000000,
+    0x300e9d31, 0xfa9a35ab, 0xebca11b7, 0x9c52f429, 0xc1db4154, 0x622ae0c5, 0xf99af021, 0x7d187a62,
+    0x6e49537f, 0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000007804371375789980578453993074482915764371495356662427877147892399063\
+                          42934704941405030076525765872992789956732780351655723861993919822071326572544 */
+  { 0x00000000,
+    0xe0a00fe4, 0xe53d64b3, 0x623afb88, 0x3012bb87, 0xb2912f70, 0x8c3d0c82, 0x7b066566, 0x7897dd55,
+    0x76c5c487, 0x863984f9, 0x21eb9470, 0x70556204, 0x09d9921b, 0x8ea2e73d, 0xa940778b, 0x1bffe017,
+    0xcd894ac9, 0x5aa58fca, 0x011146f1, 0x22136064, 0xa5670cd2, 0xd5032047, 0xdef5f899, 0x9b20ae88,
+    0xbaad1661, 0x7208394f, 0x18e79098, 0xe014235c, 0x56d8bdb9, 0xe499bde0, 0x6626b1b4, 0x67d3699c,
+    0x169b5e6a, 0x0873a5bc, 0xb6237569, 0x485e6944, 0xee4ee326, 0x1f72cad0, 0x6ab87e55, 0xc5c19e1d,
+    0x882a808a, 0x7621c05b, 0x10eae5c5, 0x7273599d, 0x72b010d6, 0xd31710e0, 0x8c228706, 0xb8cf36c3,
+    0x31f42b4c, 0x15a37b2d, 0xb38f62c5, 0xa9465a02, 0x91389229, 0xc0e77fdb, 0x234c4204, 0x6886254e,
+    0xd45bdabd, 0x95b7142e, 0x64084dd7, 0x49e86d56, 0x9104817d, 0xde5bacbc, 0xd4b14745, 0x09181b05,
+    0xe4ee8bc9, 0xae15c595, 0xf2ee66be, 0xd343b308, 0xf5ba87a1, 0x7a1f7b70, 0x7f2f462d, 0x05b9d464,
+    0x86f623f1, 0xc3c430d9, 0xf0ac7bd7, 0xb2d9f81c, 0x58c7a742, 0xced96b8e, 0x67fc2280, 0x65962394,
+    0x8adc30f0, 0x597ab1df, 0x1d28c4bb, 0xfa1881aa, 0x391ff969, 0x86f02337, 0xe48ec9ab, 0x7482e7f0,
+    0x5296868f, 0xdfd654e8, 0x00d8a60f, 0x7a3a80bf, 0x7df97fed, 0xf44dc0fe, 0xc8e0bcf7, 0x0aadc26c,
+    0x59940da0, 0xbba50f39, 0xc9f43128, 0x4a9ff8eb, 0x59350653, 0x755b2d1d, 0xa1dd7da2, 0x964890b0,
+    0xc561eaf2, 0x64cebc5d, 0x4ba9f826, 0x26906eec, 0x5406c35e, 0xd40bbad4, 0xdc98aed1, 0xb42107c2,
+    0xe1e1bc08, 0xc76cf7a0, 0xd598d56b, 0x828b0c37, 0x26bad2fa, 0x711d1e83, 0x765fc53e, 0x0028664a,
+    0xee306cd1, 0x5b3c3bc4, 0x03f2d9ca, 0x1509b565, 0xb4650b25, 0x0a794aee, 0xea66147a, 0xf4c71393,
+    0x82c8f973, 0x404da8d4, 0x07570ea5, 0x526985ed, 0xb2e0230e, 0x2eed9244, 0x93e0da44, 0xd84e0b1b,
+    0x54f2d994, 0x4fb0bbb5, 0xb3fb4ef3, 0x5ddd44b1, 0xf2f01390, 0x930b66c7, 0xb9253fe6, 0x708f70f2,
+    0xb557479c, 0xdc071655, 0x11f061b2, 0x8dce1e1b, 0xaba868a4, 0x9eae5f93, 0xbc023638, 0x593c6909,
+    0x8207c9af, 0xaa1770a0, 0x5def86e9, 0x0dcb4f93, 0x41823be4, 0xe130be27, 0x8e602bcb, 0x9beb43c1,
+    0x1ece6d05, 0x1db8a949, 0xa6af2a3c, 0x1f61c268, 0xe1400d3f, 0xf8d8c3da, 0xf1430607, 0xd413d1bc,
+    0x27288c46, 0x1874a30c, 0xd1877b2a, 0xbef621f0, 0xeac975c6, 0x7806a4b7, 0xdc7478d1, 0xa56a59e7,
+    0x98cbf082, 0xd42bd59b, 0x5b122943, 0x671e53d2, 0xc8cc5fa2, 0x794370f4, 0xaba3d6af, 0xff5a13c9,
+    0x951b844e, 0xb45f57d8, 0xb17a841f, 0x60c8f246, 0x06a3b51e, 0x9abe8669, 0xaacfdb38, 0x418e51eb,
+    0x79830e72, 0x2b2c3964, 0xad434e2c, 0x2bb935f1, 0xc2cae48e, 0xefd22dc8, 0xd9d83b77, 0x8e337b10,
+    0x132ff698, 0x82eed82c, 0x1628e8fe, 0xae4cfc80, 0x47e55cac, 0xc03e6374, 0xe0492fec, 0xbfa1c746,
+    0x72d876d7, 0x3d32454c, 0x16a98d65, 0xff843c5d, 0x736d2154, 0x6c4cf00b, 0x840229ca, 0x7ae33330,
+    0x8dc37c5e, 0xfe830379, 0x164b6c29, 0x9738c2e9, 0x3a14f36f, 0x91246f2a, 0xa3ed5d40, 0xc37f38bb,
+    0xf2af1b3b, 0x3884ec2a, 0xfe7b13e0, 0xb3e4fba5, 0x63c5e9b4, 0xe4007fb2, 0xd8c779c1, 0xe17da487,
+    0xa656ad2c, 0xe1da44f8, 0x417a4f3a, 0x1a099706, 0xcdb12266, 0xe84907fe, 0x8ddcd0f3, 0x70add728,
+    0xafb90885, 0x4ea9abd0, 0xd733c330, 0x8fb66719, 0x51153193, 0x15bf7699, 0xb1bbb48b, 0xf70f29e7,
+    0x8ab780ec, 0xb68ef3bb, 0xcf3cb969, 0xa3c6946c, 0xbab26fd8, 0xa625447d, 0xb84d5c7f, 0xd6e3afd8,
+    0x50240143, 0xb8508058, 0x9d36210f, 0xf7a8cf37, 0x4ca82ba6, 0x525d9dcd, 0x3cff3b82, 0x4bc68b8f,
+    0x76febb5d, 0xf38a3254, 0x17b67e17, 0xe9e72684, 0x39918e21, 0x40afe038, 0x30ad2639, 0xb91a6413,
+    0x10c222b7, 0x0c2ffa5e, 0xad60a204, 0x11ed7c28, 0x98461911, 0x6c284dff, 0x986481c2, 0x5aed6a44,
+    0x143e5e1e, 0xb985a35b, 0x703f6fd2, 0x4dc2f342, 0x4afc0611, 0x72f95c07, 0x7cfc4922, 0x4a3174dc,
+    0x7db09c24, 0x737f3b08, 0xaec6486d, 0x3e8ed01a, 0xf0fd430c, 0x4e540153, 0x3d6c150f, 0xd997a880,
+    0xf514c63d, 0x0eeeea1f, 0x93abf2fe, 0xb33c9bf6, 0x4a56933f, 0x22b2ca7a, 0xdc03c65d, 0x27de2702,
+    0xce6239d9, 0x9fbe83c6, 0x43573c85, 0x23a45b89, 0x20ebe31c, 0x3c68df12, 0xc47bf019, 0x384a8e5d,
+    0x377b5f63, 0x6d3cdd69, 0xa331c9bb, 0x7741f7be, 0x607d799a, 0xbeaeb058, 0x931e60b8, 0xa6f21d2a,
+    0x58acb9a6, 0x4732ced6, 0xc25ed2f2, 0x83e7fa46, 0x33c498c8, 0x536b391b, 0xc54ed7ab, 0x13efcc56,
+    0x282221ae, 0x8484a8ef, 0xeea533af, 0x110a1dd9, 0x8e3044b8, 0x8636a817, 0xcc0a4cdd, 0x42255725,
+    0xac0e8356, 0x7b412e5c, 0x64607867, 0x7510ccbf, 0xe90ac114, 0x08c99c3d, 0xe0bd519d, 0x893716ec,
+    0x3c56f908, 0x2f7e8402, 0x5f44dc7b, 0xee10341b, 0xf5ea6008, 0xbc38176f, 0xfb03fa8a, 0x9c1b2e02,
+    0xe3ee6b13, 0x5bd7817b, 0xaad4c6fa, 0x5aea3dc7, 0x6ffe8c5a, 0x88cc1985, 0xe41d3dff, 0x087f7ac0,
+    0x4a3ebb81, 0x9e3a7a4a, 0x74ec7025, 0x373f2c05, 0xac6b3ed5, 0x513065d0, 0x06854d5e, 0x01b1085e,
+    0xd2ce199c, 0x860e8c69, 0xaf7d9b57, 0xebbed3f7, 0x86c1e892, 0x2a91417c, 0x48764d65, 0x47147157,
+    0x180c633e, 0x4064c2c6, 0xe59814ae, 0x61f72d62, 0x4e25222e, 0x7201389d, 0xe095e3f4, 0x190f91cd,
+    0x5e9a7798, 0x72bf4b88, 0x68d1b8f6, 0x531ab5b1, 0xadfcc50c, 0x8cf5ba8d, 0x845def67, 0x80ec45b5,
+    0xcdd267f8, 0x3ebe6747, 0x99dab4f6, 0x4342f09e, 0x5f8a052c, 0x848ab1f5, 0x1e494b95, 0x52c7ee4a,
+    0xf9eb0d73, 0x15473fc6, 0xd8a2ab7d, 0x0421f503, 0x0f57a849, 0xc4540fdf, 0x33f92a56, 0xe100d702,
+    0xfa4ad0ed, 0x972a8be1, 0x83aae1f3, 0x3f13a9a9, 0x7ec17943, 0x8df14546, 0x4517aa99, 0x48414b45,
+    0x5906d2f1, 0x3df8d587, 0x99ddf80b, 0xb101b769, 0x0ecb4cd8, 0xb1ea8ba7, 0xcf2f28a5, 0x879b4995,
+    0x784786a5, 0x4ba44133, 0xde78bbd8, 0x629c269a, 0x3e4860a2, 0xafcd8576, 0x8ef02f43, 0xa5c63d94,
+    0x2b79e29f, 0xf17c4ff0, 0x081bbefa, 0x0f281c5a, 0xf4397edb, 0x9796e92b, 0x7334c4e2, 0x6f9939c3,
+    0x9276cbde, 0xea9bb87a, 0x7a673352, 0x74201bfd, 0xf1228fd1, 0x7b520021, 0x0cb528c0, 0x014ed1ac,
+    0xce315705, 0xf5485e51, 0x61b341ae, 0x1006329f, 0x1b50bf3a, 0x75eb1610, 0xf841384c, 0xfd9c79f8,
+    0x0238ee84, 0x95570cdc, 0x1d810f72, 0x76ce37f0, 0xb559b752, 0x002c973b, 0x36353064, 0x4fccfe02,
+    0xde7caff3, 0xa66a8e51, 0x0179beef, 0xa1ee7efa, 0xef02557b, 0x0787fd23, 0x3ec364db, 0x48fbb06e,
+    0x44c9e0f1, 0x9762ba4c, 0x30cefe96, 0x856eea96, 0x4d5246ba, 0xf0b1be20, 0x7e643414, 0xf4ce6502,
+    0x517bef5c, 0x54006a97, 0x069da257, 0x25120bce, 0x41c5d8a3, 0x18d2c40d, 0x4e33f529, 0xbe19e94d,
+    0x27087a82, 0xa76baaf7, 0xe7d7c282, 0x678c7c2f, 0xa45ebc62, 0x25452ce7, 0x7e2128e9, 0x2f7712af,
+    0x1203db37, 0x265c9afd, 0x2ea84402, 0xdd20a67c, 0xd9cd2a35, 0x6dd31f13, 0xe0af71c1, 0x7f23f1e6,
+    0x5238888a, 0x9c12ec29, 0xc0ac3139, 0x4cd5db2d, 0x06db1607, 0xa261accf, 0x8958b527, 0x3bdca33e,
+    0x69345956, 0xa6fa3f74, 0xd3452fe6, 0x72189d99, 0xc5683238, 0xaff7d9b1, 0xf7abf377, 0xcfd78e65,
+    0x7cca509a, 0x43abc802, 0xcf425f3e, 0x05dcef13, 0x3701a48d, 0x64aa69f6, 0x0b2af634, 0xfd62d6ae,
+    0x3af31f63, 0xae7c3ba3, 0xf1eb5fd2, 0xfdd3628a, 0x2c28a2ba, 0x0b217e31, 0x0a6dff5f, 0x532763da,
+    0x6e53cc20, 0xd13e04a7, 0x59585c86, 0xcccb4ec2, 0xfc08c6f6, 0x88b897dd, 0x0becd115, 0x479b5690,
+    0xba96c0ba, 0xef4a5f06, 0x89ba6a24, 0x28538194, 0xbb0e0433, 0xb395a299, 0x0136d7ee, 0xb50f6569,
+    0xe99a189b, 0x595130a7, 0x4bd16bcf, 0x339efba4, 0x6c35981a, 0xcc38063a, 0xfe2e7462, 0xd1018998,
+    0x872e2032, 0x381eb2c5, 0x3fd36624, 0x4cd09766, 0x66081d34, 0x7ca28597, 0xbf72b814, 0x69751359,
+    0x5205e173, 0x87833949, 0x0ab1fb2c, 0x3abb4dda, 0xbdbd4233, 0xb3a0a292, 0x0b4565c4, 0x8c4f94cc,
+    0x92169f01, 0xa792a70b, 0xfeb36a95, 0xa30ab8a4, 0x9cccfc95, 0x1557c9bc, 0xa8991935, 0x734a0252,
+    0xed3c2131, 0x6e165134, 0xaf8cf061, 0x6a09a0c2, 0x7c489184, 0x88b0521d, 0x279fd1e3, 0x0ca0bf71,
+    0x73c89a55, 0xc82f67bb, 0x0739e22d, 0x65a83738, 0x4c352b59, 0x835d258c, 0x0114ac93, 0x74a0f646,
+    0x7b001464, 0x44d36baf, 0xc9b2050b, 0x99f9480d, 0x14d2c8c4, 0x8fc91b89, 0x80b06ac5, 0x2d796032,
+    0xfad722c5, 0x57b07670, 0xd0b58594, 0x69df5569, 0xf1403569, 0x19346373, 0x8dcda07c, 0xf51b33a9,
+    0x52d7f5fa, 0x3d9a62d2, 0x6827e8f1, 0xa53a5022, 0x63214900, 0x9a14a0d4, 0x461d05a7, 0x967a44b2,
+    0xa6f4ac74, 0xf60ad0f1, 0xc34b2ff5, 0xedbc7a15, 0x829b19e4, 0x0c3de0ac, 0x3ee0bc07, 0x527077a6,
+    0xb2aeb94f, 0x100f4ab3, 0x257c1ef3, 0x8dccc62e, 0xa666ed9d, 0xed28027f, 0x0609a73e, 0xc0be2142,
+    0xbc410ea0, 0x68e9ef90, 0xd2df7a09, 0x919ca7ad, 0x8cc01783, 0xd7f41951, 0x5d6ea26a, 0x7525427c,
+    0xe2df4343, 0xd98d83d7, 0x2cf2ba78, 0xc9130121, 0x8c188510, 0x8737a0e4, 0xd47b2d82, 0x7a6ca835,
+    0xa71b4cb5, 0x3703c24c, 0x988204d2, 0x055f431e, 0x3b7b3e48, 0x89fc5c76, 0xb96965ab, 0xa44a42e6,
+    0x5dd7bb17, 0x100c1e5b, 0x8532f1a0, 0x4b79159f, 0x9a45fb3d, 0x9f7a9f8b, 0x6fea8c6a, 0x1f8b1559,
+    0x6abdaf5e, 0x1add6c16, 0x440fc5eb, 0x6172fbaf, 0x8632de67, 0xdee17674, 0x72d38bed, 0xe4b91339,
+    0xf1efc649, 0x9e745930, 0xfdd27263, 0x410cbe83, 0x94b1d0e4, 0x9f146f31, 0x004949a7, 0x9d365808,
+    0x63e7ac98, 0x6e9e8b23, 0x50f0cfdb, 0x8871e777, 0xf096f903, 0xde66c541, 0x51774296, 0xdc6391e2,
+    0x12407725, 0xe0fdcf5a, 0x983656c8, 0xcfd6c75f, 0xd8294c45, 0x22535347, 0xdd55fbab, 0x0f83c13f,
+    0xb2c96d21, 0xbfc66c32, 0xb6e2424c, 0x1b1300e4, 0xa5abaf20, 0x3aaff982, 0xef0415cb, 0x16b1568e,
+    0xde3e6ac3, 0xa44ac999, 0x209718eb, 0x91452b0b, 0x33bdae89, 0x5719598b, 0x3389ac96, 0x1b0d1533,
+    0xe99dfcd9, 0x9b24a7c2, 0x8191070a, 0x993b1899, 0x0e857774, 0xb23a4a46, 0x08b5cbb6, 0xe0f7625c,
+    0x5d03e8ea, 0xe2241d23, 0xd597d940, 0x02263f04, 0xe8ebe83a, 0x7d76c40a, 0xe8caf408, 0x78c22854,
+    0x5f28e1a0, 0xbb1bbe33, 0xf78950f0, 0x6bd4eb54, 0x9a51f00c, 0x45915c3f, 0x406ebdac, 0x13c0c9a3,
+    0xe4aa95f3, 0x6fd48a5d, 0xdd12af36, 0x1c40ef75, 0x7d5b60a3, 0x55ddd5ce, 0x391fa180, 0xa3fc8fe6,
+    0x94aa8d15, 0x7324ff57, 0x15f976b2, 0x53399afb, 0x7462c488, 0xfd033b15, 0x110b7fcc, 0x1cf9f276,
+    0xe1afd2e9, 0xab614167, 0xc0642e7b, 0x94655f09, 0x603cdf85, 0x60e99433, 0x239135fb, 0xbbab1370,
+    0xe78072fe, 0xce4f2b09, 0x28949fc7, 0x745c6241, 0x6c615056, 0xd95089f6, 0x19665690, 0x4533b4e5,
+    0x9d278e57, 0x59121100, 0x585e53f9, 0xff82a1fe, 0x9a2959d1, 0xf3dc8765, 0xfb39ad7f, 0xc6a3b33e,
+    0xf0a4dcba, 0x2f1ada86, 0xe58c9055, 0xcf65981e, 0xd0de0d2a, 0x414f29d0, 0x3c4ab87f, 0x8a3185bd,
+    0x8657140a, 0x56fa4f2d, 0x24102033, 0xa1213be4, 0xebeef9b5, 0x334ed96c, 0x52085ee8, 0x64bae7ef,
+    0x9ae2012f, 0x4120a29b, 0xb154240b, 0xaf90b746, 0xd13609d5, 0x14ff20f8, 0x95376258, 0x4fd9826b,
+    0xdbf28521, 0x536652e2, 0x3d32368e, 0xf4895133, 0xcdd1f37f, 0xa8a79467, 0x5d19087a, 0xc58624e0,
+    0xcf10bbc2, 0xa4597802, 0xca3646e0, 0xa13e69f4, 0xc84a4d6d, 0x211cf2be, 0x1f67de60, 0xdeb927dc,
+    0x11dd8369, 0x0b13058d, 0xff5897fb, 0x4d011bf9, 0xe0398d42, 0x250fc3fb, 0xf85c29f5, 0xe136a890,
+    0xa81eeb02, 0x54501dd6, 0xf73cd2e2, 0x6b10120d, 0x78cca610, 0x3b36ef98, 0xce662bd3, 0xdc9fad1b,
+    0xbf283f91, 0x7b4d2c35, 0x8fbcabcd, 0x29f30fd5, 0xbf63bd92, 0x5370d3f2, 0xdfbb3060, 0x28d132d0,
+    0x54659bdb, 0x9423eb22, 0x5e1aa3f9, 0x4dbdf5d8, 0xb9bef5d7, 0x661125a3, 0x75474508, 0x8242d5d0,
+    0xf224f69f, 0xe3bb7e9f, 0x92245b0c, 0x94906676, 0xdba77923, 0x20d99634, 0x30db702f, 0x8c604465,
+    0xec4a2f40, 0xb850ea76, 0x9b061da8, 0x7da64b2f, 0x629f7256, 0x93628ad4, 0x9e57fe05, 0x210ef3ab,
+    0x6dfe7bc5, 0x9e8e9cb1, 0xe30bdede, 0x6645a4d9, 0x14507577, 0x56500a84, 0xc244ce49, 0xcdb50442,
+    0xa204d10d, 0x649a0fb6, 0x8ffbd0a9, 0x83a4f568, 0x4d77a9a6, 0xc679f0a1, 0x460bea0e, 0x5ebdf3e7,
+    0x12e837cd, 0xb549bfed, 0x11c3c086, 0x91f6486d, 0xa819f4b5, 0x40585749, 0xd4ad9b98, 0xc9e190b9,
+    0x841a6291, 0xd8727ee7, 0xb82cf8dd, 0x32670649, 0x14d79764, 0x4ef36e38, 0xdf12b47a, 0xad5ac281,
+    0x9fee7e33, 0x43654c83, 0x4a901679, 0x401655bc, 0xf420f767, 0x0c47855c, 0xc13042bf, 0xaaf7db34,
+    0x5dd849f3, 0x643b3905, 0x18d12a5b, 0xa01c4719, 0x726c5497, 0x14eb45f8, 0xae9d8d68, 0xbf70db09,
+    0x9ae999b1, 0xea6ecb7c, 0x7d6ea7f1, 0xaa1426a6, 0xa6382908, 0xd817d0a5, 0x74a83854, 0x6ce1fb54,
+    0x48274904, 0xff3ee482, 0x9715b2a2, 0xc3d38766, 0x41f111ee, 0xc5dcf0ad, 0x886f3921, 0x7562fbd5,
+    0x68d34723, 0x834fe5ad, 0x942cf535, 0x7ddce107, 0x13203827, 0x305c43b9, 0xc9303b09, 0xbfaf512d,
+    0xfedebee9, 0xa88ad82a, 0xe2835e52, 0xfa651d52, 0xc54f540c, 0x78c4fc71, 0x3c64e1bd, 0xf1034ee3,
+    0x5172eebc, 0xf91918a9, 0x3e7120b0, 0xc3ea99dc, 0x222257ee, 0x125e4ea3, 0xf484c657, 0x8540cbb5,
+    0x25313d15, 0x97a81ceb, 0xf8bb9f65, 0xf473ccd0, 0x9f1c410b, 0xe272fa5f, 0xbe43f9f5, 0x9715c7c2,
+    0x434a6a92, 0xc1ee9d14, 0x1b60faf2, 0x124e11ed, 0x1fce5613, 0x0fcd5f88, 0xa6a148a8, 0x6a461a33,
+    0xc60ca47d, 0xbada9ea3, 0xde422e46, 0xf55fc928, 0xe13e43d3, 0x87d973b8, 0x10613b50, 0x8f2de0e2,
+    0x90a4fdeb, 0xbc7d3668, 0xdc887190, 0xdb59a270, 0x5eb226db, 0xaea04859, 0x805afe68, 0x03afe61e,
+    0x2bc9cda2, 0xf97a2335, 0xda11963f, 0x113183ef, 0xc12e8498, 0x1e7c2598, 0xdbe1bd71, 0x719b460e,
+    0x5884e106, 0x6384859d, 0x860363a4, 0x16b9f8b7, 0x27a2e711, 0xf4788388, 0xcd95358e, 0xa2936afd,
+    0x00000000,
+    0x98074e98, 0xfd4d1ad5, 0xf5e508db, 0x4e297a14, 0xe0eda0aa, 0xb1157062, 0x7ccd7810, 0xbe8c3d31,
+    0xb724a9bf, 0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000003902185687894990289226996537241457882185747678331213938573946199531\
+                          71467352470702515038262882936496394978366390175827861930996959911035663286272 */
+  { 0x00000000,
+    0xe010dae0, 0x49175a32, 0x9757774c, 0x61155eba, 0x1fe24c1e, 0x6630c43a, 0x4f3b7b9e, 0x6d4ad54b,
+    0x25909401, 0xe082b4a2, 0x4b3c0ff6, 0x4cb1363e, 0xd31b054a, 0xbb318f7f, 0x431b9ce4, 0x387be651,
+    0x94d22c66, 0x318a96eb, 0x58d570ef, 0x45e3310c, 0x45471561, 0x3456d49b, 0x0c8d40dd, 0x9a55c431,
+    0x14b934ca, 0xc891bf55, 0xd74a2534, 0x2621d048, 0x36a1e2f2, 0x7c87df06, 0xdab6db59, 0xbff4fd99,
+    0xdd651847, 0x8d4a316b, 0x3558524e, 0x84f78e08, 0xd3cb496c, 0xe264c0ba, 0x0062f6cb, 0x225f7c98,
+    0xe0ec9a78, 0x18d0bf84, 0x41594e26, 0xec40deeb, 0x4b7803f1, 0x4f44a608, 0x1abb8b9f, 0x6ac78d68,
+    0x25f5efc9, 0x982d7db0, 0x9f4c2363, 0xd4af1c37, 0x3a758e73, 0x6cab511c, 0x28f70d56, 0xdb28a500,
+    0x791df834, 0x17e2e29c, 0x47eaa012, 0xe1b30d43, 0xb9498f86, 0x1ce06192, 0x1d8ca36b, 0x1c1d54da,
+    0xfa37c006, 0xfea917b0, 0x58bceda3, 0xfc8e1a75, 0x1fcca7e0, 0xf8f14ba4, 0x859d9d79, 0xf9e08f33,
+    0xbbe4b661, 0x183c3e2f, 0xd0c7876e, 0x9749d9fd, 0x9b3acf14, 0xfa3ab53d, 0x1e6c5e2b, 0x46d4fd5f,
+    0xfc840c20, 0xb627e12b, 0x9088b060, 0x44782c29, 0xc196972f, 0x25587dc9, 0x12a18579, 0x1aa50d9f,
+    0xcabb7bb7, 0x5b7e0f11, 0x569f7cfb, 0x483881fa, 0x03832b17, 0x959440ac, 0xe5bb4e7d, 0x8946b387,
+    0x69b4ede2, 0x51887826, 0x66fcc779, 0xb3a45eb4, 0xc71cf8df, 0x9afd86b9, 0x5868300e, 0x2461dc4e,
+    0xc3c48d32, 0x0e71173c, 0x889d49df, 0xfd796b2e, 0x9dc4629f, 0xa8241deb, 0xe4a36120, 0x9b7b92cf,
+    0x099a2b7b, 0x344e6acc, 0x6abf9198, 0x3ead739a, 0x44b26ab0, 0x6b58bd43, 0xe5805f6f, 0x7b22fe8c,
+    0x1e30ffd2, 0xab48fcc3, 0x6f5203ef, 0x61918c40, 0x5007f2ef, 0x0317e8e3, 0x5b6760f4, 0xba0c1e2f,
+    0x614b06a1, 0x2669c6b4, 0x4e5928ce, 0xc96075fe, 0x54451f33, 0xed962634, 0x9d46cba1, 0xf6b3f89f,
+    0x657830a2, 0x8768405a, 0x72c9dd2a, 0x6759f3d0, 0x8f275bda, 0xa0d0585f, 0xeda5505a, 0x194f492d,
+    0x812049f5, 0x156f8d81, 0xf8345739, 0xb8174515, 0x89f19724, 0x8073609f, 0x2872d90c, 0xd48a2b5c,
+    0xc15aca66, 0x25a6dd07, 0xd011e558, 0x72e2055b, 0x50be63e5, 0x0546fc51, 0x3b7c8349, 0x038a9d5a,
+    0xf54eaa75, 0x3b65d1a0, 0xb1574fc5, 0xec232a5e, 0x029155ab, 0x72e2c792, 0x55dd1284, 0x8f8dff50,
+    0x86290242, 0x86c507d0, 0xc9d1eec8, 0x68db8f60, 0x056c9943, 0xb96eae7e, 0x7b254273, 0x1bc47ba9,
+    0x15165ab6, 0x673885a0, 0xa19fa266, 0x70a0d1bb, 0xb4178f51, 0xe15c915a, 0x1d5c22ce, 0xbd392a59,
+    0xf201f14e, 0x87c556ef, 0xfcd23567, 0xbbde3911, 0x87e2bdc9, 0xd033078b, 0x3567fa1e, 0xc9767447,
+    0x2762c18b, 0x209b1a85, 0x906411c9, 0x5f91d134, 0x2cd10189, 0x28aa17d1, 0xf7fbaf63, 0x27150c5e,
+    0x185747fe, 0xc6e4e130, 0xc819ddb7, 0xd22551fe, 0xa16526cc, 0xde7a5e38, 0xcc781ee8, 0xf0cf1f2d,
+    0x31edd39b, 0x12173a52, 0xfa29a91a, 0xe63ee3b5, 0xb3a4c543, 0x1ac27e60, 0xbc2547ad, 0x07eb4f34,
+    0xdc2e619d, 0xb4c86988, 0x949a2fea, 0xa986b583, 0x0667c169, 0x6d66719b, 0x6fd20b2e, 0x2112b1ca,
+    0x35538dff, 0x659d24e3, 0x8ac8b210, 0x794b41ec, 0x27051e8a, 0x42b237b6, 0x5049da99, 0x98f64369,
+    0xe699dca9, 0x87837c52, 0x6c95f189, 0x90a7223d, 0xaa5c61a3, 0xe75874e1, 0xda62021c, 0x878d0a8a,
+    0x629a36cf, 0x5a0aeed4, 0x5c423e96, 0xc0ddbbcc, 0x09a590c4, 0x885a80dc, 0xb1325438, 0x6b28be7a,
+    0xba490a85, 0xf27d5b19, 0x646263f8, 0x67f6db02, 0xa603370f, 0x283ee974, 0x5e5386ed, 0x05a410a3,
+    0x52ed6554, 0x5e807f8d, 0xbd3eec18, 0x5712833c, 0x6c86ee7a, 0x4efccabf, 0x9bfe8540, 0x6305cdbe,
+    0x6ac9fa5e, 0x17e31012, 0xe95c2b08, 0x275cc83f, 0x51e549c3, 0xf21409a5, 0x509c52e1, 0xd0667299,
+    0x586c48df, 0x37b010d8, 0xa8d6d347, 0xa887932a, 0xf3f58eaf, 0xeef2a16c, 0x59dc81df, 0xbb6ccc45,
+    0x111adbe8, 0xb4bd6c32, 0x9ac1d248, 0x0ab0e455, 0xa99d7be0, 0x1f29fcdb, 0x3c190a9c, 0x2e9d373a,
+    0x85cdb360, 0x9c45dada, 0x54505958, 0x3c867fbb, 0xdad4c806, 0x163aa646, 0xee459716, 0x1576d59e,
+    0x363d0d76, 0x5319fdb6, 0xca37b5d0, 0x571ba41c, 0xa94c18ad, 0xe85d8779, 0xed6c5154, 0xf18004de,
+    0x9b6ffcd3, 0x1da3d240, 0xe81984d2, 0x0354e117, 0x45b76974, 0x517f1222, 0x472ab3a4, 0x41635851,
+    0xc4aa64ec, 0xae894bb4, 0x6512d0b2, 0x0f714e50, 0x54293c66, 0x0cfe7d6b, 0x0c4fde31, 0x6ee15b69,
+    0xf6965880, 0x4f9c7fda, 0x5495851e, 0x29bd9a7f, 0xd4059a83, 0xbbed1dfb, 0x62a9ab0f, 0xa04d1db4,
+    0x1654777c, 0xad767d33, 0x14e7cd36, 0x7823151f, 0xe6dffec2, 0xab7f7e8f, 0x32a9fd89, 0xc7d7a0df,
+    0x18697b03, 0xc44f7d8a, 0xff122435, 0x0e7d1285, 0xc3917232, 0x7628e8b2, 0xf7160e04, 0x8582e4ec,
+    0xfc734c0e, 0x38d57199, 0xfcdaf272, 0xae4a8886, 0xa36de7e4, 0x5fdb4113, 0x14a2501e, 0xb461c8b6,
+    0x0b7a4896, 0x27210b33, 0x15075044, 0x7fa4dd96, 0x8f248d6a, 0xa3e0314e, 0xba218050, 0xaccd9a3d,
+    0x6fd0fcfc, 0x61894915, 0x5b6de8a6, 0xb1100413, 0x48a69c90, 0xaa57c73f, 0xa408eb62, 0xc401574f,
+    0x29f5595e, 0x199ea96f, 0x63b8f79c, 0xb76eada9, 0xaf625ff8, 0x158648c6, 0x237b4b55, 0x01eb79f9,
+    0x10ec282d, 0x124b8c5e, 0x4c0b3094, 0x33f9364e, 0x40c049c2, 0x183af528, 0x239461f8, 0xf5e78105,
+    0xf0851eb0, 0x98b9d3e3, 0xe2f62597, 0x6c694bcf, 0x256b1f05, 0xbab16e5b, 0xb531fafb, 0xfa797e15,
+    0xcab7dd1a, 0xe07e726a, 0xf0388b23, 0xcd0be687, 0xd3568040, 0x4a1f3e88, 0xe65853fa, 0xe5d10c94,
+    0xca420822, 0x5e6870bd, 0x5026eb54, 0xed7c628a, 0xf9af2ace, 0xaf9e3fb0, 0xfeb07ad7, 0x2c3a59c4,
+    0x4c4da92b, 0xf3b15fa7, 0xafb60ee0, 0x485fb140, 0xf64bd1c4, 0x21bd0ff8, 0x132bb308, 0xa22eb8d6,
+    0x9fc809ef, 0x59428a76, 0x18b4b56f, 0x808a3702, 0x2c967408, 0xd7b6dc4d, 0xb466e17f, 0xe7c7efc8,
+    0xddcfdf53, 0xf10b25e4, 0x3d1ae85c, 0xb97d9186, 0x41323395, 0x19584eb1, 0xd36dcb7f, 0x557c90e7,
+    0xc4bdef0f, 0x3ce18108, 0x3893ca4e, 0x6197349b, 0x1cadecb8, 0x85b60e63, 0xe7e3050d, 0x7b33404f,
+    0xff499caa, 0x401316f7, 0xbe22b3bf, 0x893de48e, 0x144415a3, 0x4a64411b, 0x8d61612b, 0xa0fa9bbc,
+    0x8437310a, 0xbbdc08d0, 0xe62be473, 0xb2eeb724, 0x69254eb7, 0xfcb59044, 0x3e62d3c2, 0x6daea75c,
+    0x97b55e96, 0x459173bb, 0x88e8120d, 0xfe390ac1, 0xea7890d0, 0xff84d74d, 0x6089f38e, 0xf83d1596,
+    0x485a0ff8, 0xe9eaa726, 0x7ff58ee1, 0x8b0bcab0, 0xff68ad9b, 0x5ccb3980, 0xf3b680dd, 0x64c9eb74,
+    0x0825923a, 0xcd3b2918, 0xbedb7d8a, 0xf66bfbb1, 0xb227743d, 0x8e4f97e2, 0x4d3cd82c, 0x8adcc9e3,
+    0x7b2da126, 0xdd377cc4, 0xc957c431, 0x3d9beb93, 0xb7bb17f3, 0x92eb77ec, 0xaf640983, 0xdd2351a4,
+    0xadfb8599, 0x070a24c4, 0x4d400ee3, 0xed30501f, 0x5f948e3d, 0xa5e8c88b, 0x54e168be, 0xa5cdfcd4,
+    0xafd0b896, 0x1a5dd890, 0x02eb2087, 0x2cd562ef, 0x6b981fff, 0x191dc95b, 0x2269775e, 0xc1e0fc4e,
+    0xd384e881, 0x2318a85d, 0xd5cf1078, 0x47d227b3, 0x7d1c281a, 0x7b44ff95, 0x004763d0, 0x486ed25f,
+    0x0721d14a, 0x328f514e, 0xe9eab72b, 0xa2e246ac, 0xd7d7303b, 0x79c179a8, 0x77a3381e, 0x8be546ad,
+    0x52f19dc9, 0x6c125c2c, 0x14c9c4e7, 0x9810788b, 0x4b103079, 0x82ab066e, 0x4c004e05, 0x5f12ca3f,
+    0x31ce006a, 0x93a30632, 0xa9b8c12d, 0xa716dc56, 0xe2d778dc, 0x64b7ed6e, 0x1e9aab4a, 0x8466944c,
+    0xe9d7ff65, 0xbbff964b, 0x1eefc6a8, 0xb3bab834, 0x65122ed3, 0x54915a0a, 0xff941be8, 0x259edcf7,
+    0xb05a214c, 0x7d8e6577, 0x62076f84, 0xfd596c09, 0x40c73318, 0x04767371, 0xf32bfedb, 0x169ba0ec,
+    0x6d906610, 0x888e51b1, 0xb1ab333b, 0x2733ec09, 0x5087a043, 0xb67532cd, 0x4dc5a892, 0x1ab7bf1b,
+    0x8b58dd1a, 0xea634a77, 0xc90d1735, 0x21a4dccf, 0xb1e3cc5d, 0x9b6e9100, 0x0362ee8f, 0xee9a1fbc,
+    0x5b3edbb8, 0x6a0951d3, 0xc5be0e80, 0x748bb2d2, 0x5482b5cc, 0xf061c246, 0x5292a202, 0xc11d762d,
+    0x5c3ef8a5, 0x99ee0518, 0xad1f6446, 0xb01008e0, 0x82e1b4c0, 0xfbe4e388, 0x526497e3, 0xbaf289b9,
+    0x287beb83, 0x08fd3d30, 0xd951ea1d, 0xe8080978, 0x485e9cbc, 0xd07b4d97, 0xec223a44, 0x3ff97ff1,
+    0x67488c2c, 0xf9df2981, 0x0e4ae904, 0xd413b7a6, 0x91f67894, 0x9c67e592, 0xca0f2742, 0x820edcd8,
+    0xd6316aea, 0xb6c06866, 0xac29e48c, 0x6531b825, 0x2376cc6c, 0xbbc04b42, 0x3761db8d, 0x286c91e3,
+    0x2733c3db, 0xcab1d064, 0xafe6a92a, 0xc969d062, 0x9d0adb52, 0x8dfc799e, 0xb484d8bd, 0x7b00bad1,
+    0xb5b530e6, 0x2dcc386b, 0x5577070a, 0x6a406c46, 0x4a4d77d9, 0x9a497157, 0x00d6c6e6, 0x93cebe7b,
+    0xcd23c764, 0x078f0616, 0x70ef987b, 0x3f23927e, 0x01b0de40, 0x136f361a, 0x36079df8, 0x28eb3589,
+    0x03e2befc, 0x726154ab, 0x843e09ba, 0xa303b3a1, 0x63b1c5d9, 0xa6083e6e, 0x99ee5c63, 0x28844b72,
+    0x7e60061e, 0x8e587e61, 0xbcb7074a, 0xf9b66716, 0xdf033c45, 0x00659cf5, 0x8e210c52, 0xb89e119d,
+    0xf5d5c0cb, 0x00323e14, 0xf43c32b2, 0x6c09c5f6, 0x53cea85c, 0x43880d62, 0xba906bfb, 0x5ce0f960,
+    0x88177bbe, 0x585f94ea, 0xd205b7ba, 0x5a147957, 0x70f18c74, 0x19f20c1f, 0x125f304f, 0xcd5d8139,
+    0xa3375dcf, 0xf0b8d9ef, 0x3b10942c, 0x06f81cec, 0x76863d90, 0x6f169fdc, 0x15a5d39e, 0x3a8210d0,
+    0x902762d1, 0xf9847562, 0xc6bf0227, 0x7ef5d312, 0x862c089c, 0xd22848ce, 0x4c32d5a7, 0x3ffa3442,
+    0x9891feb5, 0x7c084119, 0x2a10b9f9, 0x0ae62e18, 0x00fd0f69, 0x2a7e2b03, 0xc0688eef, 0xeb96060b,
+    0x34ce861c, 0x1e1872b8, 0x1a6f1218, 0x13746807, 0x972d4f80, 0xda3793df, 0xb508155f, 0x57548796,
+    0x982412c8, 0x7c13b6e7, 0x50b48d1f, 0xc8b1045a, 0x802b2c48, 0x5a57e1b1, 0xf0a36ec1, 0x4443f4e0,
+    0x612b2cba, 0x056c80aa, 0xeba259ac, 0x4b28efc6, 0x21c71c9f, 0x66ddcfd9, 0x31d5529a, 0xb7f6463d,
+    0x3c1179a8, 0x37e1e0a9, 0xb1fd0305, 0x65c805de, 0x1aed423b, 0xf0a3e559, 0x70840e71, 0xaa7e70e3,
+    0x5a51d4a3, 0x6fa28298, 0xfedc97e7, 0x30e7262a, 0x3cbfa1ae, 0x7e6d5a97, 0xde8f9d60, 0x3d75a309,
+    0x188cb999, 0x84990ca3, 0x3a4f340e, 0x5dd16b14, 0xf3aafda4, 0x761c6f4c, 0x9ccfa333, 0x55c39e20,
+    0x74385358, 0xe4bf347f, 0x340235bb, 0xf8a5a9d6, 0x9ecbc97d, 0x2b87ecf4, 0x0b14c78f, 0xfa483a76,
+    0x1c3f0366, 0xbad59f12, 0x8ff891f0, 0xf7d2bcae, 0xab694a2d, 0x46de58e5, 0xc3d89152, 0x65776214,
+    0x2c8161fa, 0xcc394586, 0xf3487ba0, 0x682669db, 0x081417fd, 0xc8bd3c6a, 0xe931c399, 0x36d4b84c,
+    0xba9f0508, 0x70ee0e8d, 0x47a85329, 0xd216662c, 0x2149553b, 0x2415a3ae, 0xfe410606, 0x7eda9ea8,
+    0x04736b60, 0x8055d7c2, 0x23404238, 0x2e5cf1fc, 0x994cae15, 0xf58d21bb, 0x6cc3b9fa, 0xeaf9cb2b,
+    0xdcbf0c4e, 0xd942369b, 0xb20cf040, 0xe05c3ed2, 0x707baabd, 0x5163581a, 0xd845f15d, 0xdbb23e57,
+    0xf436361f, 0x30f9964e, 0x2310435d, 0xaa1aa13c, 0x51ed9716, 0x7b0b18ea, 0xc9bfe815, 0x9d128545,
+    0xbbf710cd, 0xec425332, 0x3a671960, 0x3b7083a9, 0x099aa4c5, 0xd33be463, 0xe834c242, 0xe5f3fe14,
+    0x0d1fd19a, 0x8cd6b364, 0xb29e37bf, 0x1da9a2dd, 0xd5758601, 0xace2b41a, 0x4d6de62c, 0xcc8d6320,
+    0x2460ec99, 0xe88cec63, 0x097ec70d, 0xbc57f07b, 0xfc086bd3, 0x1adfc37b, 0xb431de97, 0x145a0eb6,
+    0x57faae99, 0xfbe512ad, 0xd55e3d76, 0x6d957d95, 0xa956e200, 0xae20737e, 0x2aa11f0f, 0x514cc793,
+    0xab1bd63f, 0x606b7015, 0x8c1818a3, 0xd6aaf4e1, 0xc5a7afcb, 0x2f2e4cba, 0xcb9de17c, 0xc9fb873a,
+    0x29c5743e, 0x976b97eb, 0x53f65baf, 0x4855e84c, 0x1f537a2d, 0x783187bc, 0x13dda1b0, 0xba0f3f53,
+    0x1183c58c, 0xaefcd8b2, 0xd1ab2060, 0x56cb02f3, 0x7144bd1e, 0x9bb93d79, 0x611af84f, 0x0d8ebf66,
+    0xd657f627, 0xc6e1eab2, 0x16e53355, 0xbd8a9709, 0xff3d7889, 0x2b93a834, 0xd4010b2d, 0xa70941be,
+    0x47460f7c, 0xb8e43e32, 0x6bc3d6b2, 0x32d889c0, 0x072bf18b, 0x11676ac6, 0xa8d62d28, 0xe61d74ce,
+    0xa1e9f071, 0xee666cdc, 0xc067d694, 0xa226edf8, 0xc6da0298, 0x947025ec, 0x4a7485a1, 0xc7283b03,
+    0x63a601d0, 0xb81c9c5b, 0x7c05d4fb, 0x70606c71, 0x03fb82ea, 0xd6fa13b4, 0xeb20ae9c, 0x3cd4cfb0,
+    0x952ef3c0, 0x86db50ba, 0xf6415871, 0x91b9266d, 0xc3d79845, 0x45f3b447, 0xadf618cc, 0xd0cc5596,
+    0x0aa9fdb7, 0xd4cd256b, 0xdcf1dac3, 0x625cd756, 0x8dfe2df5, 0xa90ad4bc, 0xf625cc2a, 0xc418346c,
+    0x2e66dd2f, 0xc5bf68ad, 0x5217e63d, 0x16d30442, 0xbc0f7d75, 0x32068e65, 0xfef5b0bf, 0xb4a2330b,
+    0x1a80e775, 0xf3f7f6d9, 0xeae3684c, 0x8a88a329, 0x69635200, 0x42816763, 0x927353b6, 0x5d283d66,
+    0xce69d41d, 0x0b31ac0d, 0xf1164618, 0x3ef2bc7b, 0x12d9c003, 0xd22f8a5f, 0xe929b6ef, 0x97b78974,
+    0x4752b2a0, 0x4cc6e4a9, 0x9cb545c6, 0x2b12e980, 0x4b53a693, 0x552ef509, 0x735009af, 0x62e31e14,
+    0x44611ad3, 0x9d5574ad, 0x346fdf9c, 0xd7b0a7dd, 0x28e227da, 0xd8b81dcf, 0xdd17a596, 0x23255bd8,
+    0x691d5afb, 0x138d994e, 0x04e21de0, 0x7ef35f44, 0x3e0ac496, 0xd679f94b, 0x3a66d146, 0x7b0a089a,
+    0x819b3f1a, 0x1ce2df26, 0x05f56bf9, 0x53934147, 0xc43c5d46, 0xc35633d0, 0x112974a9, 0x2861d36c,
+    0xad73820c, 0x51033e37, 0x8d64c416, 0x6f3ffc62, 0xfa150559, 0x4e6109c1, 0x650c743c, 0x22db1b36,
+    0x7ed02cdc, 0xdf665ae3, 0xb04257f2, 0x7f3886e0, 0x8c69e8f4, 0x6a46cdbc, 0xdc35073d, 0xe096d845,
+    0x2a248fb3, 0x333cbb17, 0x9ee12702, 0xd6a1c253, 0x387649b5, 0x52e3dbd6, 0xc2231b49, 0x98f32c4a,
+    0xc5f2faab, 0xf3dc7276, 0x653cc53e, 0x99a18d39, 0x67678df6, 0xd6313588, 0x7d9da3b4, 0xef11b13a,
+    0x97b78a20, 0x80d6b69b, 0x885fc863, 0xabc1a2dc, 0x394c1148, 0x02703491, 0x32da9aa2, 0x226a8edf,
+    0xa035c2f4, 0x05361d67, 0x90ef8c90, 0xa39d1e04, 0x47db952d, 0xa8f9ed2f, 0xdcf675f7, 0xde5c3031,
+    0xff0e2f88, 0x8760c732, 0xa26d2c0c, 0x18db0b58, 0xbe20c9f6, 0x0a254a19, 0xc165000c, 0xcc022500,
+    0x00000000,
+    0xcc03a74b, 0xfea68d6a, 0x7af2846d, 0x2714bd0a, 0x7076d055, 0x588ab831, 0xbe66bc08, 0xdf461e98,
+    0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000001951092843947495144613498268620728941092873839165606969286973099765\
+                          85733676235351257519131441468248197489183195087913930965498479955517831643136 */
+  { 0x00000000,
+    0xb22ee9d1, 0xb61d275d, 0xe9479603, 0xa923bde2, 0xfbd827de, 0xfbc3f47a, 0xdc798b29, 0x4e5700d9,
+    0xbca0b2d7, 0x3928cb26, 0x6d4e230b, 0x27ef2d76, 0x0c0aaf7b, 0xf5092e69, 0x1fd68d56, 0xd5d4bc9e,
+    0xaceb4938, 0x97f15437, 0xa5ec9b60, 0xb2a75569, 0x55ec84bb, 0x1950d4ef, 0xfa466e23, 0x2497fa96,
+    0x13b20f1e, 0xff023689, 0x550bef0b, 0x0d1fb19e, 0x3c89d413, 0xc509639c, 0x5d7255f7, 0x33d01862,
+    0xdf2a150b, 0x1165eeb7, 0x9830bba2, 0x23f0d321, 0x60aa0647, 0x91f3b200, 0xfbf32e42, 0xe327cc01,
+    0xed42e70b, 0x85867afb, 0xef3fcbad, 0xe6737b14, 0x1db018d1, 0x308d4d03, 0xa6fb84fe, 0x9a95a6e5,
+    0xcbccff57, 0xb590d847, 0x7ae82ab1, 0x15ef9baf, 0x7ab2c5bb, 0xf73dd939, 0x3b1cb051, 0x6d45ccca,
+    0xe3257fe3, 0x60cbf913, 0xb7be4ea9, 0x51631fbf, 0x7e15bfae, 0x85ac1d58, 0x2c18ca40, 0x35892cc0,
+    0x4884adfb, 0xda3aeca9, 0x53cad306, 0x893665da, 0x087c49b9, 0xaa4195db, 0x5ba65fa9, 0x48ae15b9,
+    0x2441bacb, 0x71d3c11a, 0x207fead4, 0x29d523db, 0x2ee83e73, 0x9f737b36, 0x6608b527, 0x3f183bc2,
+    0x5a7895da, 0xd2938487, 0x8f754fe1, 0x1add83c6, 0x78c105ad, 0x5a2689d9, 0xf2dbe047, 0xd3f42306,
+    0x37639554, 0xf4d2aa77, 0x8a922ec1, 0x3447ee92, 0x90a9abf2, 0x13fe6a5e, 0xc3256f10, 0x2530b163,
+    0x0e00bf35, 0x09c66591, 0x0cbf5e11, 0x68a308c8, 0x077a1e56, 0x214ad8bf, 0x13a29e87, 0xb80af532,
+    0x4475f69e, 0xc9cc454b, 0x9ca8a475, 0x08c8b4c5, 0xe9c08665, 0x482a1c41, 0x751e3c99, 0x0bea5cc7,
+    0x887125d5, 0x3fa70403, 0x8074c6af, 0x9c9a92ac, 0x54c3fe3d, 0x9975528d, 0x91f89a2f, 0xeb1c4e7f,
+    0x0233efea, 0x373fd4b7, 0x73a56828, 0x7fbaa0e2, 0x0a944a27, 0x7920b140, 0xad723a38, 0xe2e234f4,
+    0x44ee2199, 0xfc7649c7, 0x9f699d34, 0xc44e01a2, 0x1c5b9a1c, 0x66f048e3, 0xad2ca430, 0xdd504cc3,
+    0xa7075f47, 0x07935c19, 0xe2ac519f, 0xa3d12cb9, 0x5e8f7436, 0x31a4b514, 0xdd10021a, 0x057699df,
+    0xf3c55fff, 0xaeab4d7d, 0xb473e607, 0x0cf11937, 0x3a4fd706, 0x6a5f30df, 0xb1e8ab75, 0xef9fdd76,
+    0x8fdccc61, 0x7f3373ee, 0x8e2eff79, 0xa967ba3f, 0x02af3fd8, 0xae5b4643, 0x2ac16668, 0x0d55df17,
+    0xede45f4a, 0x0aafc9d9, 0x54aacb5a, 0x2aacf5ea, 0x52e434ac, 0x147b7a46, 0xa54640f2, 0x2ed08f8d,
+    0xcbafaa31, 0x70bcc8a9, 0xca6eaaa0, 0x820df0c1, 0x5c9784fb, 0x3e2badb4, 0xc0895ee3, 0x6c217d4a,
+    0x66fdec7d, 0x2702709b, 0x4ca03cb4, 0xb75e6bbe, 0x93bf51f2, 0x016f38cb, 0x16a88d21, 0x0d26aef6,
+    0xfe76f506, 0xa24f06bf, 0xcc5479a0, 0x9522e4b6, 0xb13fa686, 0xb13d3789, 0x24bac606, 0xf492cbea,
+    0xe5d3ca21, 0x75278b79, 0x80ce6420, 0x691f7a5b, 0x1c6f73cf, 0xe0026016, 0xf01935b9, 0xc0f4d190,
+    0x3165d512, 0x0f0e4b5a, 0xecd2ecc9, 0xfcd6c67c, 0x7182aa74, 0x6674f48d, 0xfca916ce, 0x56199408,
+    0xd3969e3b, 0x87edf4a8, 0x31617046, 0xc9cc14da, 0xa64a157e, 0xc99c8825, 0x8333c8bb, 0x0ae26618,
+    0xb71e5b75, 0x26b67e5d, 0x569824eb, 0xdbffb06f, 0x6c5435ef, 0x393ddd61, 0xa0733f37, 0x115bca05,
+    0xde692697, 0xec826327, 0xe403fd18, 0x4229afb6, 0x3366a97e, 0xe26ff3db, 0x3c97580c, 0x59a64e6b,
+    0x6f9514d4, 0x5504d7fa, 0x030e0760, 0x9b85c57f, 0x59b33912, 0x41e3dea1, 0xa2324f77, 0x9b21628e,
+    0xf5661bea, 0xd098ebd7, 0x538c54f8, 0xfa7f4d61, 0x29867af4, 0x374ece47, 0x3a7ff448, 0xfcc2a56f,
+    0x896e0540, 0x55399b68, 0xc151052e, 0xf101351e, 0x31913987, 0xe2516ef5, 0xc62e942c, 0x3c28e8aa,
+    0xc3a5cfe0, 0x087400be, 0x19b8d189, 0xe86e0499, 0xb06c5d20, 0x5f02047c, 0x0506311d, 0x6988a2dc,
+    0x34fffc47, 0x517ab22d, 0x893b9380, 0x665b56d6, 0xc94bff57, 0x4df10dd9, 0xdebb2609, 0x929b7a94,
+    0x97f61898, 0x1fc93deb, 0x6414ff34, 0x185395f3, 0x5d16bebb, 0x995f77af, 0x3b2aa258, 0x9a103a51,
+    0x4b6d03bf, 0xe63fab48, 0x84274498, 0xe2de7d57, 0x9b424c8f, 0x27a60e9e, 0x349b5af3, 0xbfb3aff0,
+    0xd0c47cba, 0xea7b3843, 0xdacbb938, 0x7fdbb18f, 0x5ffd8448, 0x64df9ee9, 0xc10245cc, 0x62535399,
+    0xddec8d5b, 0x8a887f3d, 0x9890a97a, 0x632c5015, 0xf0567bae, 0x5386bad6, 0xaf6c2147, 0x2fb7cf57,
+    0xf5051766, 0xddccecd1, 0x8ffada6e, 0x949d0b36, 0x2135ed81, 0x38b088c2, 0xb22fd0bd, 0xb044ab8c,
+    0xa20cba86, 0x21ca8c7f, 0x5c65d625, 0x8e6328a7, 0x9658140c, 0x22d6d11f, 0xd4cb38ab, 0xe076381c,
+    0xffb61dfd, 0x1da8355e, 0x39048684, 0x04a49182, 0xcc22ab24, 0x2b030d75, 0x92554527, 0xf8100f11,
+    0xfd24e018, 0xff668b9b, 0x0e50a791, 0x2126ebc9, 0xfbc6bfc8, 0x75c6c865, 0x2276fd9a, 0xf99646a3,
+    0xdfb5e90a, 0x996f3112, 0xe49937dd, 0xc4de2fdf, 0x6bce290a, 0xeae189ad, 0x04057897, 0xccf5e8f5,
+    0x794bc9a1, 0xc5bc23a0, 0x26704417, 0x89cdd5c8, 0x8ab7c3ea, 0x365c0fbe, 0xe5734a33, 0x71b0bc5f,
+    0xe8ad9a91, 0x820a18d3, 0x99860956, 0xbe5f890a, 0xf2611cc4, 0xc29e2f30, 0x6470b4ff, 0x50dbd81a,
+    0x62cbb834, 0x30df209f, 0x74762138, 0x4eac8c2f, 0xeeb7ac3b, 0x8c27dcae, 0x9cdcd902, 0xd1b6f30b,
+    0x2e7f3bfa, 0xc19d62e9, 0xe618386a, 0x75ffab4f, 0x5964bfe7, 0xff413bf0, 0x039990b2, 0x260ccee8,
+    0xb24a189c, 0x4bf0a971, 0x26dacee4, 0x8bcace63, 0x0f953bb1, 0x962a713f, 0x7f476f9e, 0xcc3d93d4,
+    0x8c95b06a, 0x6a1fbe9c, 0x1a37aa90, 0x3e87037a, 0x64f6109a, 0xdbcc538f, 0x5765ea9c, 0x0c6c590a,
+    0x82ffa1f0, 0xd07a06bf, 0xc96755a6, 0x068af4b4, 0x6ebe545c, 0x41eadff2, 0x9048302b, 0x3f1189bd,
+    0xfb80bb84, 0xe7efb01c, 0xc1a22f80, 0x0732e9a0, 0x891fb533, 0x8c0471a4, 0x69722ec2, 0xf98bc522,
+    0x0edf717f, 0xf41acdeb, 0x8d7edd11, 0x2da19924, 0xea7d0f54, 0x76dbf49b, 0x5329e0ba, 0x6b7f8129,
+    0xb8ba3e1c, 0x6ed13f62, 0xb9a7e306, 0x9d844fe6, 0x4ea6dfdc, 0x19ed4acc, 0x66444506, 0xee5575fc,
+    0xa260e11c, 0xb84f8388, 0xf9806cdd, 0xf72cd151, 0x83c126b8, 0x7a15c210, 0x99514c19, 0x19457aa1,
+    0xa8d217be, 0xa949f4e9, 0x108f2cc2, 0x64f6d6b5, 0xd387d7ec, 0x251ece0a, 0x047142cb, 0x0d4c2b29,
+    0x4e3f20ed, 0x81d165ea, 0x0d34916a, 0xde5ad80e, 0x5089eadf, 0x484ac2e8, 0x163213eb, 0x30c4a13f,
+    0xbe65cc28, 0x88e46929, 0x7e09fd9b, 0x4b8935fe, 0x134638bb, 0xd05eb871, 0xdc2848f3, 0x411282ea,
+    0xf872bab3, 0xd7ec419a, 0x9c12ae7b, 0x4dab6548, 0xd9b6dec4, 0x18e1c9c0, 0xa2207724, 0x184b4b49,
+    0xb617639a, 0x8182f964, 0xb7344cfd, 0x49e93c0c, 0xeb2d1f3c, 0x6a841b00, 0x1e866da3, 0x16edeb26,
+    0x25086b6e, 0x47e72810, 0x52ef296d, 0x32d4da19, 0x3b64be35, 0x2141ad91, 0x5883e59d, 0x3d9f5758,
+    0xd2edf835, 0x60c98d49, 0xebf15611, 0xd81147b8, 0x39ddd34a, 0xa1f17547, 0xcf1fe3cf, 0xb3226886,
+    0x5f70c233, 0x38b24a8a, 0x4955ab59, 0xfd504b39, 0xa23a9e82, 0xd8fd1598, 0x30cb00c0, 0x95bb7260,
+    0x61633634, 0x3c878720, 0xa92410ef, 0x348f1781, 0x7fec5e4a, 0xbc9f0fd9, 0xfe7c6f71, 0xb9513065,
+    0x9d196c09, 0x12a5de74, 0xc5236de0, 0xb9a43272, 0x73cd73f2, 0xf4e4b050, 0x2d24969a, 0x07f9e21e,
+    0x20e60d50, 0x2860f120, 0x7aba51c3, 0x9f482e23, 0xe7be6f94, 0x062fa88f, 0x0d1b498d, 0x76eb3d7f,
+    0x805fcce9, 0x4bdba8d7, 0x88c1b709, 0x3b6f9fbc, 0x988e6054, 0x87d1cec9, 0x2710ba13, 0x034c2140,
+    0xba201f47, 0x04875cb1, 0x2d37e113, 0xc16329bd, 0x2bf8d272, 0x4365458c, 0x7993782a, 0x7bcadb08,
+    0x36f2b818, 0x09a12b9e, 0xd1f26369, 0x08b1ccac, 0x9550f72d, 0xf7d4462d, 0xc9a201df, 0xe840a1f1,
+    0x4f7facbf, 0x8e98c7a7, 0xc4908bf6, 0xed581802, 0xbd4d20da, 0xbde867b6, 0x00b2c943, 0xf8664b00,
+    0x99949dab, 0xa11e8030, 0x7c954bf6, 0x83b841ed, 0x5bb8246f, 0xa9da0c2f, 0x9a6de02a, 0xf52361fd,
+    0xd621b4c7, 0xb69ed568, 0xfa2d1f7e, 0xc0d246df, 0xa1f3b214, 0x67319f6e, 0x168937da, 0x4ec49b56,
+    0x2b459d2d, 0x5e88b0df, 0x97c799f7, 0x0de159c1, 0x766e57ed, 0xc5a4bb96, 0x6dcc0f19, 0xa5cab3f8,
+    0x064183f7, 0x21f699aa, 0x25375688, 0x6753fe56, 0x44304f3a, 0x8c843cef, 0xba397fec, 0x26842fc9,
+    0x8f86ac20, 0xf510340c, 0x81f08791, 0xd2a0a804, 0x687a969a, 0xdf239b66, 0x0e25bd88, 0x76763fa5,
+    0x8f0e7039, 0x8bc9f95c, 0xc342a3df, 0x99b443cf, 0x9d6a20c2, 0x369cd7ae, 0xd16c2883, 0xb7f12626,
+    0x3a75d272, 0x8d8ef045, 0xaf562baa, 0xbe7f0958, 0x5049dd52, 0xe03537e2, 0x7c4dc451, 0xe321cee7,
+    0xd6860112, 0x38565e04, 0xaad61a06, 0x7ce34598, 0xb93c8168, 0x42ec4810, 0x0ad8339a, 0x7c8cbc5c,
+    0xcb560dd8, 0x195049eb, 0x805f8119, 0x5b9dcff0, 0x8f8d2887, 0x8650b1d0, 0x5321fca6, 0x4abcacb0,
+    0x9acb92e1, 0x5be60178, 0xb71d26a6, 0xf9d8ea9c, 0x913d3d06, 0x77eee263, 0x55c310e2, 0x94e02d6b,
+    0xf95deb85, 0x36429b92, 0x47c0ea14, 0xcf49e8c5, 0x5bede7e9, 0x7fcd4915, 0x2472e2e1, 0x5aa96d2d,
+    0x570d11e3, 0xc61282a9, 0xb4f86c76, 0xa5d33ad4, 0xe03ba725, 0xd971a8f2, 0x773f7e86, 0x0ab1ecc4,
+    0x6227183d, 0x5c585f0d, 0xfb922482, 0x9c57431f, 0xbc57ac54, 0x64cd0189, 0x50f77247, 0xef188531,
+    0x46a4f9c8, 0x1d9357cc, 0x3bef6bdf, 0xeae16f97, 0xf5582677, 0xad2014f4, 0x614cf4d3, 0x25e58cfa,
+    0x16f308f2, 0x363a073a, 0xf0db7cf3, 0xaa4efd14, 0xd84b4bb6, 0x77767d02, 0x69e4f6d8, 0x1f7d37c4,
+    0xad8ec3a1, 0x55563023, 0xda8c6daf, 0x4889339b, 0x1f0af907, 0x6155432a, 0x592d340c, 0x02709b6a,
+    0x8125da4f, 0xf445e6e8, 0xcebfc343, 0x0073175b, 0xac832f27, 0xa93c6455, 0xbaf429d8, 0x6c8a0d5a,
+    0x55303091, 0xaf262509, 0x4ff4c31f, 0x545a038b, 0xdd7449a7, 0xd17fd642, 0x65bef495, 0x89f27dfd,
+    0x8fb700f4, 0x2ee34512, 0x341a1ad6, 0x96b2213e, 0x57e7b881, 0x7337421f, 0x4ff26687, 0x45de7f3f,
+    0x2f0fa224, 0x838506b6, 0x51892463, 0x60733505, 0x3767f5c5, 0x40db94ad, 0x122f6fe6, 0xc05dc6fb,
+    0x70133be2, 0xb32f634b, 0x77f85998, 0x31ef8c71, 0x54ae7a2b, 0x48404791, 0xbc851a4b, 0xee0179ba,
+    0x8f14cb4e, 0xfbdb8f26, 0x4ce3433b, 0x25489733, 0xe38f2ff3, 0x21b97407, 0xd7892d44, 0xbb9cfc3a,
+    0xf2eb89e2, 0x8d54f13b, 0x6bff10a2, 0x968a52f3, 0x4045b7fb, 0x37d50a0f, 0xcc65ee1f, 0x3bec12f3,
+    0xa88e46f5, 0xec6ae59f, 0x82a187a2, 0x0d7304d2, 0x1c1002fc, 0xc4c822d5, 0x3d27f3e3, 0x849e0774,
+    0xbbb2527e, 0x6b6f3517, 0x9d930c77, 0x0b65f39d, 0x66e229f2, 0x43bd157f, 0x3e1e660f, 0xba73b763,
+    0xe453aa4a, 0xf449e54c, 0xdda37021, 0xbfc7b9d0, 0x85d26739, 0x3e914d14, 0xd8cac31d, 0x4c2cbeb6,
+    0xe7da97d3, 0x6016b605, 0xbad0d559, 0xd6c4d450, 0x224c094b, 0xd01f4476, 0x72d575b9, 0x95f5bdd5,
+    0xce827a40, 0x44f47284, 0xb6195eb8, 0x5b40b93a, 0xe012dc87, 0x8e65f295, 0x3391105a, 0x3d290dd7,
+    0x1ce3ebac, 0xef802bf1, 0xb1d81087, 0x28396c2d, 0x0b4984ae, 0x2b3328d2, 0x8c10c78f, 0x85197d43,
+    0xc197acf8, 0x039fa990, 0x9d769227, 0x207d8d87, 0xe9c559cb, 0xd4f387cb, 0x319f4dd5, 0xf50285f1,
+    0x5290c11c, 0x08871abc, 0x2671015f, 0x56a66c08, 0xd9b46859, 0xa25a390e, 0x930b9d07, 0x2c777ac6,
+    0xd4c34446, 0xb2e368e6, 0xfaa98eb7, 0xbb2f0555, 0x57206e2d, 0x852e3d13, 0x026df039, 0x28df3b5e,
+    0xaf3811db, 0x0802a90a, 0xba0f5520, 0x6d44dc5d, 0x14b8e3a8, 0xb1a5a5ee, 0x252f1ed4, 0x20ea2a44,
+    0xb5f5b813, 0x56167f8d, 0xe886f80b, 0x378afd1c, 0x435e17fd, 0xa5c05374, 0xcc8d4ac0, 0xd1c0753a,
+    0xb910757b, 0x9b76a1e0, 0x4d41f410, 0x3e22d38b, 0xff5f452d, 0x03cb1838, 0x42fd7ba2, 0xcd6d9c2b,
+    0xf6287a41, 0x152d4000, 0x6824f4f9, 0xf532d890, 0x6138d4ba, 0x99e1f9b4, 0x145f9343, 0xb486d9b4,
+    0x6c1b93f4, 0x2b8f3057, 0x14968886, 0xc705d2c1, 0x5d8c43ae, 0xf93c1533, 0xf57b37d0, 0x506b73e2,
+    0x6b957af3, 0x162b5667, 0xbb09ca7d, 0x2d4cf8f8, 0xf04b351a, 0x856d6900, 0x3f3a9836, 0xf34b316c,
+    0x97f7c0e2, 0x2b66164e, 0x8a10bfdb, 0xfefcc4d6, 0x400d3d33, 0xb44235a4, 0xc14c9f1d, 0x852afed2,
+    0x065ccf7a, 0xf1b22be0, 0x89ff01cf, 0xf9c554ac, 0xed85dc1f, 0x959ee607, 0xec19db32, 0x88cf9421,
+    0x650be2b7, 0x33ab2dbf, 0x5bd01266, 0xd3358f32, 0x8e6119c2, 0x304047ae, 0x12b30e57, 0x66ed52d6,
+    0xa891ba6c, 0xcfc07c25, 0x3cc40a61, 0xe7102055, 0xf6215185, 0x4d2f0027, 0x0f4b0cc0, 0xecc054b1,
+    0xa1dec559, 0xcfe4c42e, 0xc7f1e3a9, 0x7c842ac7, 0x2b003dd5, 0xb7d263c6, 0x35d11876, 0x65d1e97c,
+    0x38dbd0bd, 0xc487b887, 0xee4b0c89, 0x5a081ad0, 0x8c301689, 0x87e69ce2, 0x04fd9480, 0x3df845c7,
+    0x30ca86e0, 0xb3e2bc24, 0xc61eac4d, 0xf7f99532, 0x95124aef, 0x54c6b266, 0x2612efa8, 0xe4c0a211,
+    0x10554aff, 0x2ee97881, 0x54f02531, 0x6deab40c, 0xc2be5826, 0x0169c424, 0x8d58d30c, 0x9c3f0a0d,
+    0x9272ec19, 0x80693e82, 0x983a0198, 0x3e67aac4, 0x354e33b7, 0x881e6eeb, 0x20bad2dc, 0x66a4adb0,
+    0x66643bac, 0x370e7f33, 0x335bb4b2, 0x1d546efb, 0x191514b4, 0xb2bef919, 0xdfcb78a2, 0x0979efc6,
+    0xc2af1de6, 0x54fe304b, 0x9316e723, 0x7660d08d, 0x28ecf448, 0xef748e64, 0x4b9995f5, 0x33eb9d76,
+    0xc3f650f0, 0xe4145b0e, 0xeffa4aa3, 0xfc68d292, 0x64dd56d1, 0x18cf7368, 0x97279076, 0x88ba4c8b,
+    0x3ba741b7, 0xc65c051a, 0xbceb7cce, 0xdb77d3b6, 0xe49edb4e, 0x2500d611, 0x232f5bb4, 0xd94f1cf2,
+    0xb3b0baa2, 0x64f3c5d7, 0x89d3697f, 0xcb1bc441, 0x16503fb7, 0x801e6664, 0xe9ba7347, 0xe3bfae83,
+    0xc4c01144, 0x6df96359, 0xcedf518c, 0x294f94b1, 0x299f9258, 0xc653cef6, 0x5d5b42de, 0xc0954a06,
+    0x891efaee, 0xd2ac4ed6, 0xcd2db138, 0x5d4203e7, 0xc9c5f2c4, 0x38e02139, 0x1e25c5ef, 0x00a22be9,
+    0x45552fd7, 0xfa7584a0, 0x064b6c64, 0x27b3b092, 0xcff1286b, 0x76dbb414, 0x7955dbac, 0xf48bb366,
+    0xa258f956, 0xdbd1f5c7, 0x03a47832, 0x20e7ef22, 0xf7f3def3, 0x1065ed1b, 0x0b3acbe1, 0x0ab22cef,
+    0x850debb7, 0xff055194, 0x6be4a0c9, 0x4fec4257, 0x09938d34, 0x47914921, 0xf322db7b, 0xa1986bec,
+    0x00000000,
+    0x6601d3a5, 0xff5346b5, 0x3d794236, 0x938a5e85, 0xb83b682a, 0x2c455c18, 0x5f335e04, 0xefa30f4c,
+    0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000975546421973747572306749134310364470546436919582803484643486549882\
+                          92866838117675628759565720734124098744591597543956965482749239977758915821568 */
+  { 0x00000000,
+    0xe549a3f6, 0x20360765, 0x7e7299be, 0x46e1c18f, 0x55650b17, 0xe2d946e7, 0x7b2e4230, 0xa8da11f1,
+    0x230cc261, 0x2965e567, 0xa624a688, 0xe7e1bfe5, 0x17f611e1, 0x6f6d73d1, 0xd520da71, 0xd7bd729d,
+    0x653b0c26, 0x0d7ebc74, 0x1a81382a, 0x7d6059a5, 0xacd8ba52, 0x8a3b4d2e, 0x364a7fab, 0x1aa14eae,
+    0xfb760f2f, 0x04a9bf6c, 0x251ca03d, 0x178913e6, 0x6ee22568, 0xde8549d0, 0x2131a798, 0x610ca0eb,
+    0xe30e9e89, 0x8e32c50c, 0xe7c26117, 0x2bf30db0, 0x879be74e, 0xda66305b, 0x1a1c9d07, 0xeb7246f5,
+    0xe686e208, 0xbd90a79d, 0xee0df650, 0x43400ba3, 0x8152264b, 0xb03cf17a, 0x18d53e96, 0x2f38341f,
+    0xf29db1a7, 0x3bd43599, 0x223f2401, 0x86db9db4, 0x4258b436, 0x26923f78, 0xb876f99a, 0x57aa3423,
+    0x8129253d, 0x6124ae7c, 0xf1761739, 0xf9e207c9, 0x4fb046a0, 0xd177b2d7, 0xd59ade51, 0x92c0e9fb,
+    0x85fafa64, 0x48c47093, 0x74880fb8, 0xd035bc51, 0xfa0d9ffa, 0x10475ecd, 0xc4224bcd, 0xd120f983,
+    0xa95a25b2, 0x4ea46c3a, 0x9d5a58a9, 0x69e26b50, 0x7064192d, 0x2c84cc53, 0x60a21175, 0x086d7fdc,
+    0x0c7544e7, 0x8f748f6f, 0x20d49e0a, 0xbd2bd6d3, 0x880dc61d, 0x199d037f, 0x75d49bb2, 0xe0fd40e2,
+    0xea2b11ef, 0x93f0cd58, 0xdf0d88a0, 0x10e71a84, 0xb7cd9fc0, 0x97eb034a, 0x095d59bd, 0xe0f461f9,
+    0xe7c8d3bd, 0xaa62b17a, 0x41bc4abd, 0x595dfd10, 0xa6031df2, 0x27f4894d, 0xc242e1fa, 0xe3f272a4,
+    0x2bf8f3f5, 0x002abc97, 0x35973541, 0xa31d1e71, 0x50083736, 0x9ae74435, 0xc76bf1b1, 0x332b60ab,
+    0x4fae478e, 0xeef77107, 0xf480f06f, 0xf2877688, 0x4e6cdda2, 0x1bb5bbbc, 0x6884a5c4, 0xe4acf1fa,
+    0x118060cc, 0xef9ba848, 0xef318428, 0x1e1d909a, 0x0a1eb81d, 0xb824c6c4, 0x45061b3b, 0x2d9342dc,
+    0x7b28f5b8, 0x8fe53fad, 0x02e769c2, 0x6c07a9b3, 0x069ae649, 0xcc64f8e7, 0x225cd551, 0xadcb043d,
+    0x285d947d, 0x510bd5fe, 0xc749189c, 0x161fd65d, 0xf44fbf90, 0x790d3a57, 0x0513fb7a, 0x37578d9d,
+    0x6f4f8f7c, 0x00e3818f, 0x4390c364, 0xe223f5dd, 0xaae8276f, 0x2d7e49a9, 0x36ac4cbd, 0x73078e66,
+    0x040e3367, 0xd6760417, 0xce43cea6, 0x93033e0c, 0x554aaaab, 0x289a096d, 0xe02ba54e, 0x271fe989,
+    0x3f57510f, 0xcb0262e8, 0x441e3b1f, 0x5cd77a3a, 0x8b87a5fc, 0xc3391f5d, 0xb7bf9186, 0x9ae9ddcd,
+    0xc1904207, 0x44a5c62b, 0x8968ba2b, 0x42e6ba2e, 0xc47a76d2, 0x3e40dea1, 0x638184d0, 0xa7307b49,
+    0xbcfd2866, 0x4b560f82, 0xcdb5ba0c, 0xa1a7473d, 0x273fd87e, 0xd8f34e00, 0xfcd901c8, 0x76a6e79f,
+    0x42b0dd42, 0x7590f5d3, 0x267e33df, 0xbc7ee3b8, 0xa200e6f2, 0xd2ab0f8c, 0x18390c87, 0x0f5a13ac,
+    0x0f378f96, 0x7053f500, 0x7a1a2326, 0x82ac7e95, 0x87373078, 0x9052b3ce, 0x4561058a, 0xcec1179a,
+    0x3ee2d1a4, 0x4f840734, 0xf16b55e4, 0xe3c6c2bf, 0xcbfe97d5, 0x6e97fc56, 0xc6fc4823, 0x98e130ee,
+    0x6b649a5f, 0x5a836a2c, 0x80c5bcef, 0x38d6cd07, 0x53ce7d11, 0xcf2cceb1, 0x98d453e7, 0x84528b62,
+    0x6d0f97e3, 0x35e771d2, 0xb2eba9d7, 0x9f9afb22, 0xee8a8797, 0x0327c59e, 0xec6debb7, 0xd6fc49dd,
+    0x1c09f96c, 0xb5d42748, 0x0478234d, 0x79756c30, 0xcd45a10b, 0xbd3d4d46, 0x3ead5b96, 0x36f34642,
+    0xaca358ff, 0xc73040d9, 0x9009f126, 0x5cf1d3f6, 0xa0336da2, 0x35838458, 0xbe38e303, 0x65dcf1d0,
+    0x4bf87656, 0xebbc7a3c, 0xbbcffb7c, 0xf18b8b8a, 0x98809c38, 0x3610a7d2, 0x2272706b, 0x17f9bae6,
+    0xca8ec4e2, 0x6f12aa17, 0x5372d984, 0xbdaa75fb, 0x0aeb2b7a, 0x0b6b2ed0, 0x8555ef5e, 0x91550b99,
+    0x7f1719f8, 0x4b455e48, 0x0520ca28, 0x7e79ef6c, 0x2eb8515e, 0x662d000d, 0x647d3bb9, 0x7b1cf489,
+    0x2084fd36, 0xd3aca93e, 0x2ffb15d7, 0x49ffe97f, 0x12efa773, 0x29377309, 0x09c98886, 0xebb034eb,
+    0xc68689de, 0xb3010a38, 0xf51dd67d, 0x90000f76, 0x11252c90, 0x4adcbb56, 0x986e0a49, 0x279ffa9f,
+    0x6bb37847, 0x44af421a, 0x6cdaea7e, 0xa178b763, 0xd654aaaf, 0xf3f968e6, 0xc203a8a2, 0x0ff18f30,
+    0x7f709574, 0xf9d40423, 0xc62bd91a, 0x3ed40499, 0x2d34e7ca, 0xb82a490f, 0x2b5e180b, 0x5f153aeb,
+    0xc661491d, 0xdacadeda, 0x52828da2, 0x96f2cb63, 0xc5606d81, 0x97131bb7, 0xb60781b0, 0x214f6e04,
+    0xf92b6711, 0x1c8d93e9, 0xcb5231b2, 0xad146eb6, 0x088d3e6b, 0xfabb8103, 0x5862afae, 0xea52fca5,
+    0xefcdf95a, 0x707ab970, 0x0025feaf, 0x5e149fc7, 0x06043e33, 0x61c770a7, 0x386f002c, 0x5adf4f30,
+    0xcc2e5588, 0xda82c1ca, 0x570eace9, 0x01531920, 0x2dd72025, 0x7dfebf0d, 0x507a1d21, 0xfba7d052,
+    0x72a351d3, 0xbfe04d36, 0x733cdcbf, 0x8ed353a7, 0x4d316a3b, 0x027954bf, 0x4660f713, 0x615a6469,
+    0xaa9300ba, 0x6f95ec2f, 0x5675fa67, 0x3c04e0a3, 0x3a5d21ed, 0xc3958aef, 0xf10ef990, 0x11aa6402,
+    0xf9acbee0, 0x92d0580e, 0xe938e813, 0xd30d661c, 0xece5a077, 0x543f783e, 0x2c389738, 0xcc2d50e0,
+    0x7824b8de, 0x45d1353f, 0x529c8f9a, 0xf758fc29, 0x8ad70de2, 0xc33fcbe0, 0xf3677872, 0x470bce7b,
+    0xa705e070, 0x64383a8a, 0x356f3888, 0x0f13fd5c, 0x30caa2d0, 0xd01ee37a, 0xfa3a11ca, 0x8ec94bf5,
+    0xcbae4978, 0xc68a3d77, 0x404fb9bc, 0x2575d0d9, 0x16e14d06, 0x24b2494f, 0x6056f0a6, 0xf879779d,
+    0x57e62a1b, 0xa1eab2f3, 0x9798766c, 0x7990fec1, 0x5fc559ad, 0xa5d9064c, 0x86084b3f, 0x08b2d95d,
+    0xaf93df75, 0x208da447, 0xded64e3c, 0x2dbe4215, 0x649a243b, 0xcf7bdec2, 0xa5851837, 0xb4c73a8e,
+    0x2995bb0d, 0xe7ab891c, 0xcc80afd2, 0x8c1cb0a2, 0xece9ef99, 0x6f5bd707, 0x45730dd0, 0x20aac482,
+    0x1e5c3f8f, 0x28668c4d, 0x2e4ed7b6, 0xa82f014e, 0x567dec81, 0xe1c27e7e, 0x5e5807c7, 0xe644a444,
+    0x6bc06e42, 0xd0aa1b91, 0x03ef0cab, 0x8f3e707f, 0x0df4e5f0, 0x8467bcb4, 0x51f7418c, 0x2d3ee1e4,
+    0x0d0b5757, 0x7c21bb2f, 0x29686156, 0x5ec18242, 0xca27ae84, 0x843ee378, 0xd2ddcb4f, 0x6416f960,
+    0x9aa98bf0, 0xc2dcb17a, 0xd232aef2, 0xdb5a8073, 0xd1f1b03d, 0x3e2937f5, 0x0b84b15a, 0xf5f3d44c,
+    0x5b1616f6, 0x8b6c5610, 0x2099ea34, 0xebff940b, 0x23f4713c, 0x31fa68c6, 0x1660f2f4, 0x5df48c34,
+    0xf25b6061, 0xbb20803f, 0x3eca7013, 0xf19d135b, 0xa798141a, 0xabdbf3df, 0x14fe1341, 0x05c175a3,
+    0xaaf63061, 0x08bc2af9, 0xdd78ed92, 0x7d759b86, 0x171cf6d9, 0x8505e322, 0xacbb74e5, 0xe289e3c1,
+    0x919115e4, 0xbbb2ad2c, 0x993f5f25, 0x7a0cbfd9, 0xd5089789, 0x33da816d, 0x7a2440b8, 0x0e991ceb,
+    0x94880d90, 0xaa71f71c, 0x9edbb950, 0xa0ee6cff, 0x6204d64f, 0xfe0465eb, 0xec3c9b17, 0x0bf9c084,
+    0x864b3197, 0xb1952329, 0xc3596e68, 0x6bb832f3, 0x34a827ce, 0xdfb063a1, 0x38c2b552, 0xc2f6fac5,
+    0x1ed7554b, 0xeef82163, 0xb58d9fa0, 0xe6f527ce, 0xfe02e42b, 0x73e41a73, 0xc2e77b7b, 0xe6a10017,
+    0xb8977894, 0x3a3276b4, 0x9d2a4ed8, 0x58c7aa3f, 0x23898030, 0xc0f5d485, 0x304f36e1, 0x3374cf7c,
+    0xd4cf480e, 0xfee10342, 0xc3f7337c, 0x957162d9, 0x84f3488f, 0x99d0ac14, 0x2472e346, 0x1029451e,
+    0x112fcec7, 0x8e6b24ab, 0x86266616, 0x995e01e7, 0xdf13650d, 0xc1ad4f14, 0xe4eb2c4c, 0x79f39f70,
+    0x27032fcf, 0x0e4f8a92, 0x4c8b16c5, 0xdb213c09, 0x9f3bc855, 0x3cda56cf, 0x4bb4ba48, 0x10de031b,
+    0x53e979c2, 0x2554379b, 0x0a891ac3, 0x2e75a28f, 0x9edced84, 0x72e20794, 0x59769447, 0xca9d1cef,
+    0xf3025ad8, 0x22a2dc18, 0x2639f675, 0xdfa704f6, 0xd540cfa4, 0xfb4feb92, 0x2e3fbff9, 0x85094476,
+    0x3f33aacf, 0x3d568019, 0xdeb98b3d, 0xa4c8cbc1, 0xbc85539c, 0x14a43266, 0x21d8e233, 0xe7a52746,
+    0xcee78486, 0x94140c3d, 0x54cc00c2, 0x672a58e6, 0x1bb050bf, 0x22e87e94, 0xbc312ebe, 0x001d1244,
+    0x1d3b03ce, 0x94d47d6c, 0x71de08ea, 0x80f9cd60, 0xb5dd04c5, 0xbd74fed9, 0xfbcaec2f, 0x2d3d4c97,
+    0xafe4e47c, 0xac3880a5, 0x5124299d, 0x0adcf211, 0x132adbfb, 0xdb781503, 0x10561f9d, 0x62e188af,
+    0x08fdba53, 0xa58caa7e, 0xbf66aee5, 0xd7e9de28, 0x82ab34f6, 0x1940e9e5, 0xb037a3e1, 0x78114246,
+    0x4936f0fd, 0xe00c840a, 0x29847264, 0xffa97e8a, 0x2b81f667, 0x61063367, 0xc2ff2bfc, 0x9aa4c6f4,
+    0x94739563, 0xda119e96, 0xfd57a70c, 0x8901d15d, 0xa673bf5c, 0x0c2e39a8, 0x0435451d, 0xf522ab44,
+    0x9f1c0765, 0x064f342f, 0xa45240fe, 0x7527eee8, 0xafd053d4, 0x0652b6ea, 0xe8254f55, 0x2ea37163,
+    0xa1aecc55, 0x692e6a82, 0x9b291254, 0x8693bb8b, 0x030c917b, 0x5be92936, 0x00a467e2, 0xeb4f8fe2,
+    0x65a9a75d, 0xead6ff5f, 0x88b9c334, 0xa52372fd, 0x97a5fad7, 0x0e5f4269, 0x5e8092f6, 0x3a180a5e,
+    0xbcc50cb7, 0xe365d198, 0x17ff29cc, 0x10ea337e, 0xf5270663, 0xa777ec61, 0x2029355b, 0x7b4518c6,
+    0xebc5ad3b, 0x89a5cf6c, 0x9dcf286b, 0x7f906005, 0x973faa3c, 0xbf393388, 0x777a5a27, 0x8a6ab939,
+    0x834abb3f, 0xb56f14f3, 0x67445096, 0x9c895652, 0x37e5f94d, 0x10ce0bbb, 0x3f47e2f9, 0x6e3c2620,
+    0xdb9ed3b6, 0x049fffde, 0x7b303b28, 0xdc62b80f, 0xcdf36802, 0x167d6d5a, 0xfb718783, 0xdc28f2a2,
+    0xadcfbd64, 0x3c72ff20, 0x85265823, 0x139e4b6a, 0x06da42f1, 0x3a02cd29, 0x66808bec, 0x6b2c8967,
+    0x9983327e, 0x82594722, 0x49f41654, 0xad5bf745, 0x96629ea7, 0x6ea263bf, 0xdd84eb40, 0x2d14a43a,
+    0x1fade105, 0x7ff00258, 0x33773fbf, 0x22f4bf0f, 0xab4d0d8a, 0x50b327fc, 0x9115e5c6, 0xf0ebaba2,
+    0x3fc36bf4, 0x20d42b26, 0xc24624fc, 0xf3ad0355, 0x9c07a157, 0x753e091d, 0xc4764f2f, 0x460b3f35,
+    0x738a73e9, 0x2c7fcf98, 0x34cefbe9, 0xee94d6e0, 0xa3ebc43c, 0xdfe90559, 0x6a105c19, 0xccc4f428,
+    0xc6e49fbe, 0xeecfd0e2, 0x796dc39d, 0x3607ae16, 0x647b87d4, 0x715c3806, 0xe8cc7ff5, 0x48ac47d4,
+    0x27e982da, 0x914f5416, 0xb66a3cf1, 0xd96658da, 0x59490bff, 0x29bc563f, 0xb0a08402, 0xa01633e3,
+    0x564ebdd6, 0x3e22d363, 0x893dd4ab, 0x360307c2, 0x10f86ff8, 0xf162ffe3, 0x2acf8832, 0xf309c371,
+    0x2a737f58, 0x60c5146d, 0x41dff4ea, 0xa808cc57, 0x71f20d9f, 0xf809a3f6, 0x0de1303e, 0xef035058,
+    0xef501944, 0xb074de6a, 0xfb86003a, 0xd7c515c0, 0x0ddb839d, 0xc3914379, 0xf4d2a178, 0x555e3ac0,
+    0xdc028184, 0x9d93aef8, 0xe27456fa, 0x33b9a6f6, 0x30cd2277, 0xbdb503bd, 0x86842c11, 0xaf5cf744,
+    0x0176d045, 0x6eb3bef4, 0xb7dd38a0, 0x321dbe73, 0x5215b98e, 0xd67ece6b, 0x280caa0c, 0x24fb279d,
+    0x6fb7807f, 0x6c4dd516, 0x9b6244fe, 0x7fa2deca, 0xfd44b3ae, 0xd7146d3a, 0x5f3ea0dd, 0x5d95b07c,
+    0x9fb2e762, 0xd1a24421, 0x2a5e4cb0, 0x3382c04d, 0xf82f2cec, 0xec5d91fe, 0xa9d860a8, 0xb6d4c80b,
+    0xfc60b5b2, 0xabe9cdca, 0x95372bb0, 0xc0565df7, 0x30a86c01, 0xa2d95f74, 0x81781409, 0x3de810d8,
+    0x564dcc36, 0xc0594040, 0xd06f1e8a, 0x6ee7a93d, 0x6b641de5, 0x7d202a8c, 0xa0552e9b, 0x2ad656c4,
+    0x082bf668, 0x4714bcc8, 0x91fab957, 0x98dfcb96, 0x8269b649, 0x183a0f22, 0x69f0fbca, 0x2610ec75,
+    0x1b09d482, 0xc7fc1de4, 0xa3bd8467, 0x351ed3b6, 0x9728378f, 0xffacf41c, 0x9a6e0181, 0x63a9617a,
+    0x5a5fe5a2, 0x27cab617, 0x758fedc4, 0xe91718f9, 0xc0e29397, 0x8a7cbf4c, 0xfe8e0a8b, 0x899ff38d,
+    0x65d446d4, 0x36b0765d, 0x3d5a4498, 0x6cec7130, 0x769a7084, 0x0c7c33e3, 0xebc42a38, 0xfb02ad11,
+    0xa53ffe3a, 0x175d4672, 0xc439419c, 0x17209c80, 0x6993277c, 0xbaf03342, 0x26f360c5, 0xcdea8c62,
+    0x4a4a4b30, 0x6018f007, 0x759a76f6, 0x37b66016, 0x3d9da11e, 0x2a6c3ee3, 0x1353d0ce, 0x07c55091,
+    0xc0fbf782, 0x21d5669e, 0x5d8a2001, 0x4931d447, 0xf8561dd4, 0x2bf0cc18, 0x6f3e7962, 0xab8defed,
+    0x32520393, 0x0dd30d26, 0x7e2d6f72, 0xd9d030ea, 0xa8f9afdb, 0x02ecfeae, 0xc8ecf2d8, 0x90b3f34a,
+    0xb28acd5a, 0x14bddc4a, 0x7f01cb5d, 0x3d6c3429, 0xa1a5935e, 0x91691c15, 0xd86336e1, 0x31654e87,
+    0x17a93bdd, 0xea395653, 0xe6b229d1, 0x08b7b128, 0x6d624e11, 0x8a0edd6b, 0xedff32be, 0x4e8f9321,
+    0x044a5846, 0x5fb248eb, 0x57d0e2f6, 0xaab10905, 0x2a0c54c4, 0xb583c45d, 0x388baa83, 0x21e66b69,
+    0x0137b352, 0xe082490c, 0x63ef7c58, 0x0a4d5279, 0x00bc56d8, 0x6b2b185f, 0xaf379630, 0x719cdd9b,
+    0xb7e579fe, 0xad559b50, 0xc9508104, 0xb6b42dfa, 0x45be5161, 0x778dc942, 0xe08bb2fe, 0xc0397392,
+    0x6c15c720, 0xdd0fdc93, 0x7f21fb99, 0x52ed7664, 0x3050172d, 0x49255ac0, 0x979dbc74, 0x8e57d706,
+    0xeb4a2482, 0x781cd83d, 0x29767435, 0x046eaab7, 0xb2cf7596, 0x879052e5, 0xacc75461, 0x949e5a53,
+    0xcdf94f2e, 0x6c4de299, 0xdcd2553b, 0xced8b5d1, 0x15dcfe0d, 0x81147635, 0xbc9c1db8, 0xd36ea8dc,
+    0x11105927, 0xe1a2cdf5, 0x294b7a2f, 0x4c95d39a, 0xdbefe55c, 0x1206f26b, 0xf75c00e3, 0x28edef65,
+    0x67549f47, 0x91c0ca18, 0xf3163332, 0x364a285b, 0x9fc43f23, 0x3b09a20f, 0xb61ae6e3, 0x4f0b2a03,
+    0x921eb179, 0x4bbd041a, 0xdcab71d9, 0x5b77f2db, 0x9492a7f5, 0xa9a34a58, 0x8d33aa88, 0x24126370,
+    0xfaaf48a5, 0x3375535f, 0x74fdb34c, 0x24b64359, 0xba50dcb3, 0x005cf71e, 0x0f4c08dd, 0x8958dae4,
+    0x77ac0e03, 0x6398b98b, 0x83ffc20f, 0x1b6661c0, 0xb18ad358, 0xcae3ab93, 0xb334a034, 0x6040d54d,
+    0xbf568aa4, 0x4ec48695, 0x1d3e59be, 0xeddfd799, 0x532f3a2a, 0x0b2dbba9, 0x3866428a, 0x452de1cb,
+    0x294996c2, 0x48ae1511, 0x1205f95f, 0x3906a664, 0x92102d08, 0xd51fac18, 0x2cf97815, 0xcc035865,
+    0x2b9dc1c7, 0xe70c80fd, 0xfe128cb3, 0x83be0370, 0x8dfc90b4, 0xd88b2ce3, 0xebb0d222, 0x014e882e,
+    0x4cf86aa0, 0x2353e7c3, 0x66544506, 0xd33b17bc, 0xc91e6fdc, 0xde484a96, 0xe30b5815, 0x8fc3abbd,
+    0x5ac13560, 0xa9717eaf, 0xf54d7145, 0x96fee1b5, 0xff23d8d1, 0x0dd1a1df, 0x57f7d6bb, 0x3d19bff8,
+    0x2543e070, 0xe1d146bd, 0x440a5a62, 0xcb2c0744, 0x2d253131, 0x3e04d539, 0xe2dea7f9, 0x8c23f4d7,
+    0x99a09cf1, 0x5b87edfe, 0x00aebe7a, 0x390e5768, 0x149eb5a4, 0x16b9cfb2, 0xf6985be3, 0x6625fa80,
+    0xcf70c1e5, 0x83b61226, 0xff3ccf8c, 0xb7f46d8f, 0x68a896e9, 0x93c05880, 0xe1af46a6, 0x8fd1efb5,
+    0x00000000,
+    0xb300e9d2, 0x7fa9a35a, 0x9ebca11b, 0x49c52f42, 0x5c1db415, 0x1622ae0c, 0x2f99af02, 0xf7d187a6,
+    0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000487773210986873786153374567155182235273218459791401742321743274941\
+                          46433419058837814379782860367062049372295798771978482741374619988879457910784 */
+  { 0x00000000,
+    0xb02470b8, 0x836ac20f, 0xd26c33d1, 0x1515dfd9, 0x9ef8d06a, 0x420f738c, 0xdb017311, 0xead67d3f,
+    0x5e4a6a43, 0xa1e801f0, 0x9de53b9c, 0x789d85e1, 0x931039f6, 0xd4cfc2ba, 0x9efa9168, 0x76a2fdf8,
+    0x71a19086, 0x16382b11, 0xeceaa517, 0x22d0ebbd, 0x2014a2c5, 0x8e4c3f91, 0xeb4eb444, 0xf4f67311,
+    0x7c3fe412, 0x1de66abe, 0x9178cdb1, 0xe578a121, 0x2935d04b, 0xe98c7439, 0x708fdaff, 0xb9286fc8,
+    0x5ca25a7a, 0x2d7c1957, 0x24b2aa3c, 0xbc3b0766, 0x2e6a94ec, 0x7b5ca0c6, 0xeacf37eb, 0x7a62ce65,
+    0xb1014296, 0x66a6e199, 0x745d99c1, 0x8d2892c4, 0x24df7a25, 0xcee7a231, 0xc0e5b497, 0x2803e497,
+    0xe775a667, 0x3a4dde9a, 0xfe4e4e30, 0x6a7d68dc, 0xc34b4cf6, 0x807604bf, 0x0be503af, 0x6a2306bd,
+    0x897a3567, 0xfe848c68, 0xec1da0ed, 0x76c72050, 0xa7ef7bfa, 0x04b31e4a, 0x2277b8ac, 0xa4d48605,
+    0x3b73008f, 0x2997770b, 0x59890c61, 0xe48d3dd7, 0xe1385125, 0xefd85aef, 0xb251cb1e, 0xa2b8a1c2,
+    0x931c5b1e, 0x7ae8efb0, 0xd4246cff, 0x3ebedd5d, 0x926d49d2, 0xa5d8c476, 0x9bdd92a1, 0x08bcbba7,
+    0xbd9ff20f, 0xf035b9d8, 0xa1960a8c, 0xdebcf142, 0x7eca9d35, 0x4582faae, 0xdeee2de6, 0x95ab1670,
+    0xfb50fc94, 0x18fc888a, 0x78c2488d, 0x1fccd4b8, 0x7e77b2d8, 0xe4694b3c, 0xc35a2804, 0x8b37b714,
+    0xd9ee451c, 0x06d57598, 0x1c85093c, 0x02c3979a, 0x79041b8a, 0x761ed33c, 0xfa1ab99b, 0x3739b062,
+    0x2db8aee7, 0x2a1df4ec, 0x1ac0049f, 0xb3652dab, 0x45e4463c, 0xe15cddb5, 0xff4c7df7, 0xdea50028,
+    0x00a4215d, 0xd8eda5a8, 0x406f4fe9, 0x07e1cc0a, 0xc320f5d3, 0x1144e08f, 0x2f7da63e, 0xf674a633,
+    0xa056002a, 0x1401862e, 0x44ca23e7, 0x78d12412, 0xcd367bbb, 0x66361b19, 0xe7daff05, 0x9de813a9,
+    0xa0306279, 0x756fb3aa, 0xf7591bea, 0xdba64989, 0x2252f784, 0x3dde4777, 0x838c8e6a, 0x20005e51,
+    0x40ff8eca, 0xea1172b0, 0xccb24fbc, 0xf5a57235, 0x51b5173a, 0x7b56a2ba, 0xafbb0f9b, 0x18352912,
+    0xff4f5994, 0x8b5949dd, 0x8d12f303, 0xa3c04792, 0x8cde4a39, 0x507be0ad, 0x7e367c92, 0xaab98f3e,
+    0xbb72f86a, 0x7fac9bca, 0x22e7a752, 0x3c3914c8, 0x9c87ce77, 0x5de5ac2f, 0x0a0c644b, 0x5413583b,
+    0xbeb272b2, 0xd5a8a25c, 0xbe17046e, 0x55032d62, 0xbcbf2f5b, 0xdbb23446, 0xbf6bc304, 0xaaa52dd5,
+    0x61424c1e, 0x02e0cfd2, 0x819cfc17, 0x99d511d5, 0xd8af7cd2, 0x6ad91a37, 0xceef407e, 0x9d9b2d1f,
+    0x7ec1cb68, 0x694137bc, 0x030abe86, 0xc9e193fb, 0x2ce88684, 0xe0a4bcba, 0x8c7a7500, 0x17b86399,
+    0x04d7a3ea, 0xb59b3ba5, 0x699181bb, 0xd126c036, 0x6a59d637, 0x2a28e1ae, 0xb05ca8e8, 0xea26b039,
+    0x82af0a85, 0x252a749f, 0x6969a00f, 0xa8ccddd7, 0xd4b60020, 0xf91c8c4e, 0xbfa05b97, 0x389d4f16,
+    0x3c0384e5, 0x97bf9ccb, 0x1e4b1757, 0x0c1b9ecc, 0xfd2b0749, 0x650e58a3, 0x57ae4e63, 0x2a2d81b8,
+    0x6e1d16bf, 0x36a12c2b, 0x98ed9fef, 0xdec3594a, 0x80c90946, 0x3d7639dd, 0x513236b2, 0xd3b0e0bd,
+    0x0a784377, 0xf9421263, 0xbbbd0458, 0xb8885ad0, 0x7614da98, 0x87b8fb57, 0xd34e6abe, 0xfea031c8,
+    0x5572344b, 0x65f23cec, 0xd734ff9c, 0x8542421e, 0x793503ef, 0x012f851b, 0xabf8f7a7, 0x85d5ef90,
+    0xf0f7f1cc, 0x9bfccf62, 0x2daebde2, 0x078437b7, 0x2b1984b5, 0x3ca60ab5, 0x1e4be2a7, 0xc755fb06,
+    0xaac365ec, 0x10a4e9f3, 0xf928e887, 0x4c6813a1, 0xb4572fb8, 0xda8643c7, 0x9df3a44d, 0x63274132,
+    0x71ae188e, 0x2b9176e0, 0x8d8e891a, 0xbe81a1ba, 0x84b7ef2f, 0xf7d6e063, 0x46005db4, 0xaedfc04a,
+    0x0a6e7314, 0xd5471ef3, 0xd6eedf33, 0xd53b8e63, 0x37d83548, 0x4656459c, 0x96b1ce24, 0x2060eaae,
+    0x4e678c00, 0x4f4bcd1a, 0x0078822e, 0x6d804575, 0xb453f913, 0x82177e7c, 0xeb237121, 0x08c76e41,
+    0xfdf87872, 0xee62c924, 0x3119120f, 0xfd22a24d, 0x7118ef41, 0xd894032e, 0x2a2c603a, 0xe16e1905,
+    0x97e3ddce, 0x16fcb9e9, 0x521fa1aa, 0xdc4af093, 0xf07bf92a, 0xec9de28d, 0xdd3d18ed, 0x929691d1,
+    0x687e4fd1, 0x71c1d56c, 0xfcb82824, 0x73243e9b, 0x9927c568, 0x2b2db09b, 0x514a9732, 0x2c12d1fc,
+    0x33dd204a, 0xd4334ad5, 0x984068f9, 0x2b26ee42, 0xea46dc11, 0x75cd3d12, 0xb1f023f2, 0x5db5af39,
+    0x316c6f88, 0x4bedc46e, 0xc82f6557, 0x2819791c, 0xf92f2d5f, 0x5a08f20d, 0x1151c3bb, 0xc1cc58ef,
+    0x85f2f91c, 0xdc19495d, 0x6fe8ace5, 0xa140958e, 0xa2731e95, 0x84fea147, 0xfd278858, 0x66d75e4e,
+    0xc07994d1, 0x3180f162, 0xb6f46128, 0xe0290ae5, 0x7f381895, 0xfe639ff8, 0x5cf6fa22, 0x5604cfa1,
+    0x8ee62897, 0x06bfd549, 0x5d569b44, 0xc73ed323, 0x5573c80c, 0xb3f5cb80, 0x9c2091c5, 0x3ad45004,
+    0x6d46e73e, 0xa670e4dc, 0x3af880fe, 0x9f29a054, 0x71dd7380, 0x80ec3e63, 0xd3fdce50, 0xbb83584a,
+    0x6cbde945, 0x4863b4aa, 0x6ad73bc9, 0xd3484221, 0xc764f9bd, 0xaf7ba616, 0x771b046c, 0xaaed2c3a,
+    0x27674c1d, 0x6e4cebbb, 0xa953e0ed, 0x866368bb, 0x10c70256, 0x32f1a069, 0xdae6b90f, 0xf2e19768,
+    0x4a286958, 0x8fe7c8d5, 0xa0c0acde, 0xef04e1fb, 0x6dbc4c77, 0xd0deacbb, 0x0b455fad, 0x793aa04c,
+    0xda7adcf0, 0x8a273868, 0xe550d578, 0x6c1373d4, 0x3d164d54, 0xad56f991, 0xa38c3c0b, 0x92597c7f,
+    0x7a5a994b, 0x7b260b1a, 0xb2a0a7af, 0x582e440a, 0x8d26f3a9, 0x7035be6d, 0x216fd53b, 0x534e1aca,
+    0x728568f5, 0xf4f88fd1, 0xd0924e5b, 0x9ffe7075, 0xc00e138c, 0x279ec411, 0x12f0becb, 0xd77faac8,
+    0x87ae21c7, 0xb1e1e250, 0x3f9d62a1, 0xc06dfbf1, 0xdb4997a3, 0x258f4a54, 0xb10120fb, 0x25dd2ab3,
+    0x8d9a03de, 0x7c00911a, 0x4f7afb6a, 0xd89faf23, 0x5f888f3b, 0x87d8bf11, 0x6b7e36a2, 0x39331153,
+    0xfc7c7b5f, 0x3d2f8cdf, 0xf49587c6, 0x0acee201, 0x54c58944, 0xf3349a38, 0x3de57901, 0xc8776053,
+    0x1723e22b, 0xb10df38a, 0x7e23ddc4, 0x964e1528, 0x63680bd5, 0xf10eb5bc, 0x9718a555, 0xc2b7f9d6,
+    0x9f40c826, 0x7e500dfd, 0x21ea0898, 0x2ee58d7a, 0x12b95ffe, 0x436944ef, 0x3991fc7c, 0x5fa67f7c,
+    0x224a4641, 0x2fd9add2, 0x90d684cb, 0x2a81debe, 0x7bfb58ca, 0x226bf02c, 0xb8f9520f, 0x2897adb3,
+    0x89070a91, 0xff3a623e, 0xd3f81b65, 0x6c8399f5, 0x89790cf3, 0xc8522be2, 0x4a25ce66, 0x119b5a79,
+    0xeb83eca8, 0xebd1cf48, 0xa27d5f1c, 0xf950963b, 0xb518f635, 0x130ac0dc, 0x997d8998, 0x59410da8,
+    0x9514ca62, 0x5bc0ae1f, 0x4847802d, 0xadaa5556, 0x4fbae30f, 0x695dc95c, 0xdea07877, 0xc6773284,
+    0x387a28e2, 0x16a2fd4e, 0x562c2b9f, 0x473c22fc, 0x868f9e9f, 0xdc1aa5a7, 0x6915708c, 0x41b137cb,
+    0x5cff41a4, 0x0c677f36, 0x5e48d451, 0x882fa5d9, 0x428e5b4c, 0x49b04ad6, 0x8e279664, 0x8067386d,
+    0xdce8984b, 0xf858f688, 0x5d5d9c22, 0xe83dfd8f, 0xa2e613d2, 0x3ce65b69, 0x077ef10d, 0xff452183,
+    0xde91343f, 0x04330321, 0x67f4f070, 0x389f8e51, 0x8a6c1854, 0x93797997, 0x9828713e, 0x0ce60f88,
+    0xf00c32b3, 0xf15aa8ca, 0xf7ca1e57, 0xede0cf71, 0x034840fb, 0x3756bb79, 0x9317a65b, 0xd82d8578,
+    0x0cb147aa, 0xbfcc6ba8, 0xe624905e, 0xb0391cc4, 0x3bedcd13, 0x81db1630, 0x48deb8b0, 0x7f70c8cb,
+    0xc80e5e87, 0xd7d93cf7, 0x5ec955db, 0x1a9cc2c7, 0x1db5b499, 0xd75a7d3b, 0x8d8bdc1f, 0xa906f1c8,
+    0xc2321071, 0xaea2dd80, 0x3f8d146e, 0x2e439ad7, 0xe5289b29, 0x304af11d, 0xe9df4435, 0xface91e6,
+    0x840fc50a, 0x70160ae7, 0x8925e397, 0xf7e0a7da, 0x44e2d85a, 0x93c0abc0, 0xb5d2674a, 0xdf522686,
+    0x66583084, 0x62f7f8ec, 0xe29ba71a, 0xac76b89c, 0xb8cb7f96, 0x23e7b414, 0xf20e8ac8, 0xe3340d36,
+    0xc69467fd, 0x9bdc2954, 0xcd17c07f, 0xd68559bd, 0x33776932, 0x5f4e15fe, 0xa17700e2, 0x8709d811,
+    0x7b82b2f0, 0x9e01f4e9, 0x9a1d6bdd, 0x82b019a8, 0x825fa567, 0x74b0763c, 0xaf5ad229, 0x16a8f99f,
+    0x11d04e6a, 0x6b9b1ec2, 0x7a942354, 0x1c0918e5, 0x7bf64e09, 0x022cbc34, 0xcc4e8451, 0x430ade01,
+    0x60a5b2be, 0x4f7a4856, 0xf7e4471d, 0xf2541303, 0x9d7ff270, 0x572219c2, 0x1e78b509, 0x8508188b,
+    0x87acef1f, 0x6ece6d9a, 0x0264a7d6, 0x26fc85c5, 0x175a3888, 0x226ee0b3, 0x56baa014, 0x9176472d,
+    0x1aee5ee4, 0x6f68c700, 0x9be24a9c, 0xa8b502e1, 0xf549965d, 0xe31595c3, 0x793df9e6, 0x4b0afcf4,
+    0x669b137c, 0xac33b980, 0x2e417973, 0xe06c52d0, 0x67dec2b0, 0xe8b921ea, 0x03bc5472, 0xf0edc2f3,
+    0xd1860d30, 0x9d135865, 0x5ecb0006, 0xae95f0e7, 0x1de4cabb, 0x078f9d9f, 0xe255fdc6, 0x5a244b02,
+    0xe5f2b08b, 0x47bd981e, 0x4885869e, 0x09ba6edf, 0xa32d5658, 0xea189897, 0x9110657b, 0x924f8c49,
+    0xd9dfdcbc, 0x4e93f4f8, 0x921dda10, 0xd350753a, 0x38ba48ef, 0x497053bd, 0xc275ce12, 0xcaf84d77,
+    0xa0a7bb55, 0x3a17cd02, 0xbfee7be2, 0x53827095, 0x5e846119, 0x51b3cb9a, 0x98cdce92, 0x78fa4c9b,
+    0xb6ef1c43, 0x209f48c0, 0xd8a211a2, 0xba29142a, 0xaffcb33e, 0x8f47b436, 0x4069543a, 0x01fff1c9,
+    0x0f231460, 0x5d62390a, 0x74cf1069, 0x251b0941, 0x9fa47696, 0x11bbf3b3, 0xf6dc2cd8, 0x9c3969c0,
+    0x9cd1060f, 0x38fa187c, 0xa3fbd021, 0x69c2f00d, 0x6259ac2f, 0x9906cf50, 0x9b1bb905, 0xb36e4c50,
+    0x33ef7ab6, 0xf1ff0aa4, 0xcc165d74, 0xfb7d8a40, 0x2dd01392, 0xaf7fca68, 0x5973c89f, 0x4659ab1b,
+    0x62b29ed7, 0x9811c280, 0xd9b3772d, 0x0d3ed624, 0x4294bcf2, 0xe5bf6799, 0x97da20e3, 0x30a4ba3f,
+    0xd4ab2faf, 0xa8981ce1, 0x329ac021, 0x3e909a2d, 0x7911d43e, 0x4d080841, 0x1070cab1, 0xe49a904b,
+    0x51f441bc, 0xbc2d14fc, 0x62d043e3, 0xa81475ec, 0x08ef1202, 0x4198e844, 0x26273c9b, 0x8b12d412,
+    0xad7bbc04, 0xa2582dbd, 0x750bff92, 0x074cd867, 0x5fe83956, 0x86782d15, 0x4772bbb8, 0x01c054c8,
+    0x2fd40358, 0x4e23f485, 0x4da47515, 0x23f9e637, 0x9f83f276, 0x3fd61692, 0xffb84f87, 0x9355d87a,
+    0x67c1f6db, 0x814b95dc, 0xa1c9f5cf, 0x71432f0b, 0xa05736bc, 0x9c66b036, 0xf8c408f3, 0x79d8f6f2,
+    0xe25ae0e2, 0xb8ab2f9a, 0x3d428951, 0x77d7a028, 0x733dacc3, 0xa288eb82, 0xa66e7957, 0xc6df639a,
+    0xab29cb71, 0x3df7714a, 0x07a776e6, 0x34333593, 0x267bcccc, 0xae418ad0, 0x2a4ae9cb, 0x393c89de,
+    0x0e574955, 0xa4a47e95, 0x863ae2b3, 0x773644f1, 0xbd4ebe4e, 0x7871f9a4, 0x1b124a6b, 0x449830c0,
+    0x8bc7bd06, 0x39e2cdfd, 0xeba61895, 0xc94e36c7, 0x8ce5cc5b, 0xe41741e0, 0xa4969bd2, 0xe8c463d1,
+    0x9d56a083, 0xa359db1b, 0x7bb23d65, 0x8e9d4db1, 0x958dbfc3, 0x41df6527, 0xf5ebf960, 0x687ffef1,
+    0x65e7e5ca, 0x65cab0de, 0x3682a239, 0x080be9fa, 0x480421fc, 0xe494ee71, 0x0a8313f9, 0x9fb50cca,
+    0x175edc05, 0x00b41d59, 0xfcfc9dfd, 0x8bfa7500, 0x72e1c63f, 0xb0b52cc7, 0x598ec2f3, 0xd8cb8d89,
+    0x0e4e3e63, 0x28c61c6a, 0x9c12f0ec, 0xd4a50106, 0x84390623, 0x05f9cc6e, 0x6704d0d2, 0x62b8b8f8,
+    0x07c4715b, 0xf36ed3b5, 0x62d0b278, 0x3ad57d1f, 0x0e26f3ae, 0x93e2ac18, 0xe8f2c1cb, 0x1a635d8b,
+    0xe4ee8750, 0xfafb0e30, 0x9c316f7a, 0x25cf3faf, 0xb584a068, 0x66eae30f, 0x08a9d965, 0x68fdc3e4,
+    0xf904a3bb, 0xa9be90b0, 0xe19d24b9, 0x2d7300bd, 0x976425cf, 0xdb9f81b5, 0x761d02a9, 0xa7f0a73a,
+    0xa168ae14, 0x17f1786c, 0xd0b900b8, 0xee37bb17, 0xb88f150b, 0x7168444b, 0x9c317507, 0x9d413e03,
+    0xb9ee9bdd, 0xe8beda9c, 0x457abdc3, 0xd3c01a9f, 0xd8cce221, 0x7061053e, 0x3ff25510, 0xdf9b1ecb,
+    0xfeab8ed1, 0xdcbb897e, 0x7ba4c149, 0x48af06f4, 0x6cfc550c, 0x2a45b865, 0x7de07574, 0x4dd99f1c,
+    0x0288966d, 0x5803d044, 0x3608c698, 0x16bbdd1e, 0x824bf156, 0x32368630, 0x248138f5, 0xc1cc4242,
+    0xe5cb993f, 0x909f068f, 0x0a4bc126, 0x903f7ffc, 0x3593af1e, 0xfd4bc627, 0x84fc9f66, 0x19e2c742,
+    0x326af373, 0x7af78f3c, 0x17b9a87c, 0x1d619211, 0x9e7c065a, 0xd98ecd56, 0x6d7e14c1, 0xcb039c46,
+    0xfc08896a, 0xfece4b27, 0x5d933b6e, 0xebfe1065, 0x7db4de02, 0x721c4643, 0x34a2c484, 0xf88fa472,
+    0x478796d4, 0x3da4e3a2, 0xa34cf225, 0x1434c3cb, 0x47136bdd, 0x00d9bb37, 0xa70e7eb4, 0x94b67d03,
+    0x57028dc9, 0x70a2ba32, 0x0f77f44a, 0xe1ecbc0f, 0xf4a2f003, 0xf73f649f, 0xc845ccfd, 0xcf72a88d,
+    0x32be2b48, 0xf55a16a0, 0xebff8c7c, 0xcb702c8f, 0xe1de17fc, 0xf8a2793b, 0xd9685474, 0x99ee9c54,
+    0xb12cb9f0, 0x3f720ae5, 0x50700c3e, 0x632802df, 0xae5ece0f, 0xd7b3c3df, 0x74062433, 0xb2e7f202,
+    0x2ac94f08, 0x8e4c8c85, 0xd6d5f48c, 0x84649ccc, 0xe6d7dcba, 0x51e6b02a, 0xc2115963, 0x0c84a674,
+    0x23ad3e80, 0x08771a96, 0x9370745c, 0x9636d51a, 0x7b5fcab3, 0xa97da712, 0x0d450b8d, 0x3c5bb21c,
+    0x585e43c2, 0xf67516ce, 0x48bffb5c, 0xf0bf6070, 0x113d8f8f, 0xd0148988, 0xb29ee9d8, 0x6a2dbad7,
+    0x6feb65f0, 0x21ff057c, 0xc42788b8, 0x47ef282d, 0x06587a7c, 0xcdf1f307, 0x1ca55e05, 0x21948107,
+    0x3f132b23, 0x79ec0b7e, 0x5706adb5, 0x6bea1366, 0x552e6246, 0x06c9c68d, 0x9dd06895, 0x252be9bd,
+    0x50f5a6a1, 0x337cd6e2, 0xd7ca4124, 0xa0bb6fdc, 0x070ed776, 0x0ee6607e, 0x60b4c710, 0x2cb66d09,
+    0x8f5f5b0b, 0xb497ad74, 0xde87675c, 0x77aa8f15, 0xe20b68e1, 0x1b6d078a, 0x1b10e22c, 0x8b3af732,
+    0x66450a31, 0xb7da2c22, 0x3e7c43fc, 0x9f5a446f, 0x8a1855dd, 0x7a03c11f, 0x15070fc0, 0x152e80b4,
+    0xa1f7a106, 0xf49cd3ac, 0x4eb35ea3, 0x632c5636, 0xb414de03, 0x92596c09, 0xa288a14e, 0x0c458aca,
+    0x4fc15a8f, 0x877f4a93, 0xb12270a8, 0x13bb923c, 0xa2a49cbb, 0x201bfadb, 0x618c8cdb, 0xadd71abe,
+    0x3bf5e26e, 0x4d3317a3, 0x80d3675d, 0x347c255d, 0x1d38535f, 0xc8826fcb, 0x9fa1fe98, 0xcac4ca45,
+    0xa8f62d53, 0x486046f2, 0x7ee5d876, 0x08defb44, 0xbbfbd29f, 0x1934dcbf, 0x3241b54c, 0xb219d6c3,
+    0x9696a26a, 0xa70e9c7f, 0x16eb3906, 0xc910499d, 0xc5575f48, 0x5a05d0dd, 0xcdb5fb5d, 0xd61ec66d,
+    0x449a9a52, 0xd7c934c6, 0xc9cd0eab, 0x7f9d904e, 0x24095603, 0x9eae1200, 0xdf8a3696, 0x7bf0819a,
+    0x969e1f96, 0xd408a93e, 0x46fa4a27, 0xe67a9832, 0xc036937c, 0x4326e6bc, 0x299f57d7, 0xbfe14804,
+    0x00000000,
+    0x598074e8, 0xbfd4d1ad, 0x4f5e508d, 0xa4e297a1, 0x2e0eda0a, 0x0b115706, 0x17ccd781, 0xfbe8c3d3,
+    0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000243886605493436893076687283577591117636609229895700871160871637470\
+                          73216709529418907189891430183531024686147899385989241370687309994439728955392 */
+  { 0x00000000,
+    0x790da18b, 0xda21398a, 0x2b36d58c, 0xf0a0878b, 0xf474f396, 0x27d6599b, 0x9e4272c8, 0x46ede2ba,
+    0x1bc9999f, 0xc2044317, 0x576fa776, 0x1de828bd, 0x8da46382, 0xae481a26, 0x7c2afb3e, 0xfbd60083,
+    0x76ba60e5, 0xeb839c79, 0xcbdca3b1, 0x2dbc4307, 0x5ef3be82, 0xd1db72a1, 0xb5dfa4b4, 0xe361b484,
+    0x81f86126, 0x7f864aac, 0x2fc9c84b, 0x762f3658, 0xf1e7d61c, 0x1c3e3149, 0xa65317b4, 0x794864d1,
+    0xb82adbde, 0x7f2f31bd, 0xddeee217, 0x21aca195, 0x166a1777, 0x8d68a9c9, 0x0a576651, 0x5e94d4da,
+    0x903222c1, 0x168d8907, 0x92b8e915, 0xbe917980, 0x22f57a50, 0xa2c4785b, 0x5d6555c2, 0x3f9f16e7,
+    0xa717de65, 0x3bcf609f, 0x109fa07d, 0x251526ac, 0xc2dc9619, 0xdbdf1c90, 0x0249e180, 0x61706c31,
+    0xd2ee060b, 0x1fee7d23, 0xc3b0eb3e, 0xb9e8bcba, 0xa846b3a9, 0x9addf341, 0x8517354e, 0x8e8028c4,
+    0x5675e856, 0xef441f39, 0x2acdc778, 0x1d68486b, 0xe1083ad8, 0x202fbf02, 0x30178eb3, 0x7e9a3f14,
+    0x1caae707, 0xee462c31, 0xcaecd2e0, 0x3fbd12cc, 0x4d03ed57, 0x28b7a34f, 0xe4882b79, 0x1d86ec51,
+    0xe93efeed, 0xc765c975, 0x5b37051d, 0xabf125d2, 0xe54e19b1, 0x28de47ee, 0x551a14b1, 0xede9e0a3,
+    0xb922c287, 0xf97c2ff1, 0xac243f23, 0xae453064, 0xf240acdb, 0x67039679, 0x6bd46d7b, 0x9d90b041,
+    0xffee887e, 0x75ee43b7, 0x639d40e5, 0x7510c934, 0x1f10498c, 0x28de3df8, 0xd611b95d, 0xd65cc5b4,
+    0x1f1e53a3, 0x10f57ea6, 0x6250b90b, 0xd92d3a09, 0xc6770626, 0x4aa94f41, 0x758a01e1, 0x1f863f8b,
+    0x2d1f7262, 0x7cd9330a, 0xa6787909, 0x27e39148, 0x7543a4b9, 0x320bfe43, 0xa5999c3b, 0x13bdfeb8,
+    0xe0b97ddf, 0x0cb74186, 0x2e641b2a, 0x817191bc, 0x8a3e67f3, 0x3e6316b5, 0xa1b220b7, 0xc0f3c222,
+    0xd9411184, 0x848b99e2, 0x03d2ebeb, 0xcd63c106, 0xd59538fe, 0x22e5459e, 0x2cb26ad3, 0xca56d834,
+    0xdc3825ed, 0xadee2e7f, 0x1ea52582, 0xc606eb0a, 0x730b21c2, 0x6495d20e, 0xe36207a9, 0x2efdcb2f,
+    0x30f79b61, 0x9f84a45d, 0x5b454912, 0x62163740, 0x16e2788b, 0x2bd4a124, 0x1c73b690, 0x222c0622,
+    0xbf1ffdbd, 0xe0348bef, 0x8bd22ac8, 0x47307928, 0x6eec8d06, 0x202e7f76, 0x83d5ca45, 0xed32e874,
+    0x3c7173dc, 0x50236ace, 0x93604c4e, 0x110dbf0d, 0x9df3884f, 0x1521cad0, 0xd94b336c, 0xcf2a5953,
+    0xa8a7c5ca, 0x8973a8eb, 0xf0172047, 0x2e5162ee, 0x98785a4a, 0xd6339a91, 0x7353a28b, 0xa7849250,
+    0x56e2e174, 0x49332e1e, 0xc7242105, 0xc23fd085, 0xfa5c8f0e, 0xfa6ce522, 0xa6ccb0ff, 0xe2d4284a,
+    0xad230381, 0xf941e1c8, 0xb70b6c5e, 0x8f27ca08, 0xf3ce872d, 0x99e37d8e, 0xebf52c81, 0x146304ac,
+    0x5812171f, 0x46268fb1, 0x542eda07, 0xf1d7b285, 0x2654c326, 0xfa2cc877, 0xe71c3bd2, 0xb601365e,
+    0x128bc083, 0xb461ed8d, 0x42e6a476, 0xf0ca77b9, 0xf4f03383, 0x3cba2d1a, 0x3fefaace, 0xf09e4677,
+    0xcc8c6f53, 0xdd4c7352, 0xf0c31fe3, 0xbf72d38b, 0x5a832707, 0xa122f37f, 0x8a06a0c0, 0x67c893e4,
+    0xf7c42261, 0x9375ee3a, 0xcaa77e8f, 0x979d9861, 0x653c3ff2, 0xc9966a6b, 0x4ada3624, 0x06ffc9e3,
+    0x2d8f3d5e, 0x14eec001, 0xf3744ea1, 0x4dc89ec8, 0xd3f63931, 0x8f85e883, 0xc18f2a02, 0x93a55473,
+    0x4e455222, 0xd0967529, 0x472b87ed, 0x80388f30, 0x37ff3929, 0x57d65eec, 0x8939c03f, 0xee29b6c1,
+    0xba4513e4, 0xe99d0d92, 0x4254e9c2, 0x4623afc1, 0x160dddc3, 0x218987f3, 0xf7424e42, 0x7bc5a90d,
+    0xfa90e574, 0x0bc58f27, 0xf6175e18, 0xb04d9a0f, 0xbb553671, 0xd345c219, 0xafcd68e7, 0x50382c9e,
+    0x42b755b8, 0x03872e6f, 0x0d57f6fb, 0x8c2bf4ba, 0x82419e4f, 0xde4dd5ad, 0x082f4dab, 0xa350e2b6,
+    0x5dad8ce2, 0x59008638, 0x57875f28, 0x3bdaca75, 0xdbed202f, 0x39a629af, 0x65eab40c, 0xb03f419e,
+    0x962f9da5, 0x71a54b78, 0x41f4cd48, 0x343a29cb, 0x86b68996, 0xd654ec40, 0xc10f75ac, 0x79c32170,
+    0xf8ed0824, 0x975f4293, 0x6d477a9c, 0x85324638, 0x5968db9f, 0x1e7e8a49, 0xca05f390, 0xd5eeaea0,
+    0xe61d7c01, 0x101ede51, 0xdc44f319, 0xb5403513, 0x9a5e39ea, 0xa7052850, 0x039898ee, 0xf83b9ed3,
+    0x60d4b1e9, 0xf5abba21, 0x9d44da05, 0xe1bd97eb, 0x8846ebb6, 0x7b032504, 0xf2fe437b, 0x12cbcd0a,
+    0xeb22003c, 0x2f6d48e9, 0x73884bfc, 0x1fba2cf0, 0x103bc384, 0xec22c0a3, 0x243e8575, 0x83d77498,
+    0xe1966bdb, 0x95da029a, 0x37cfc43d, 0xdb5f8528, 0x57ef52c0, 0x6d1aad0f, 0x5a27014d, 0xeda4a1af,
+    0x74629534, 0x94153cb7, 0x3e0ff56a, 0xb1388128, 0x8a0cee46, 0xf180ffbb, 0x4b207de6, 0x6bd7d51c,
+    0x77f30628, 0xf9e4bdce, 0x204227f6, 0xee94aa94, 0x467b0a51, 0xfde9bf38, 0xa188ea50, 0x21d0fad2,
+    0xbfa86ef9, 0xfde3142c, 0xf51951c0, 0x3dd151a6, 0xd6ffa395, 0xd110120c, 0xf3ce6f88, 0x13dd9934,
+    0x0a759fe3, 0xd0de4ce7, 0x0d23b38c, 0xcac2e496, 0x08f52478, 0xb3b7e89d, 0x2d265ab6, 0x0f8823f0,
+    0xc80fc1cb, 0x474d0637, 0x4a6e0dd4, 0xff535e40, 0x9e4ed9aa, 0x308da49d, 0x86d2bcf6, 0xb0bdb689,
+    0x8f262a39, 0x0c3bf73a, 0xf58fc894, 0x01dce98a, 0x8d198dd1, 0x2b624fb3, 0xa89609c1, 0x80cb0de7,
+    0xbc0da888, 0x6b540967, 0xaf558e92, 0xb194aca8, 0x49578b34, 0x03d607df, 0x50429660, 0x15bc9e9f,
+    0x7b82248a, 0xc60c680c, 0xed15f7c5, 0xe842cca4, 0xb547a8d1, 0x94d7795b, 0x0d6c680e, 0xfb1eb05d,
+    0x2f1b97a5, 0xea16a01b, 0x87da0b1a, 0x3da8c873, 0x6b965ad8, 0x8e24b4ca, 0x3c6cec50, 0x96ca4429,
+    0x7952ed66, 0x446903cb, 0xbe01798b, 0x5482f3a2, 0x46a0723e, 0x24be7b57, 0xe4fc320f, 0x9d5be007,
+    0x23e0e96f, 0x770e4b93, 0x2a233caa, 0xea390712, 0x13319f95, 0x44466623, 0xcad372dc, 0x5014a867,
+    0x73696833, 0xd966757c, 0x4124ce2a, 0xee30d5cb, 0xb2f79abf, 0x49158b3f, 0x012349e1, 0x03d913c6,
+    0xe157aa20, 0xe3aa4921, 0xa0045cf9, 0xe7837097, 0x46c2b051, 0x05a2c933, 0x17bd3cf9, 0xe7bf5bbe,
+    0xe69475e1, 0x1808e72c, 0x3c1e8be4, 0x26679292, 0x5f9ffcd0, 0x4879aa78, 0x5891d72d, 0xccfe36a4,
+    0x49c5ad5b, 0xe1b3264a, 0x2e72e258, 0xc81befb5, 0x68b97a6e, 0x65c2bd46, 0x19a320a9, 0x0a57326b,
+    0x1bcf0f7a, 0xc8e1fbd2, 0xa30ef2c9, 0x9d1b475c, 0x015c4d77, 0x80f33cf6, 0x188bcc78, 0x90d525c5,
+    0xaa3080cb, 0x873394f2, 0x627a668f, 0x1defe55c, 0x5496bbc0, 0xfc61581f, 0x3549a4c4, 0x174fd3e7,
+    0x7534330c, 0x3dc864ec, 0xc989a7e9, 0x19477711, 0xc7330ea6, 0xe5664e33, 0x7dc136da, 0xf22756e3,
+    0x8e1f7365, 0xd25c3ccf, 0xc941bdfb, 0xddca73ed, 0xa7be522c, 0x1e550907, 0x74d16b8b, 0x73e302f4,
+    0xe23e3f67, 0xfd2edff3, 0xcc93753c, 0x60e4f167, 0x397eb43d, 0xccc1829d, 0x751026b9, 0x2233a577,
+    0x898a8d2f, 0x94239493, 0xc915a6c3, 0x6891ce25, 0xe8d4ac5a, 0xbc799d12, 0xae416f41, 0xc61ceff3,
+    0x6553edb0, 0x9a3135b4, 0x2e6e002b, 0x282a0e51, 0x309a473b, 0x3361cfa7, 0xc4d7cfbd, 0x2fb2daa8,
+    0xdc000d3f, 0xd59a1d7b, 0x8846149c, 0x8909c7a3, 0xd5e1554a, 0xb1a4015f, 0x565696fa, 0x096fddeb,
+    0x599a34c8, 0xfed6391b, 0xc6b067ca, 0x6689c7cb, 0xe8629771, 0x823a09be, 0xce0115be, 0x93b440bc,
+    0x32e543db, 0x89d58cc6, 0xb142effd, 0x4f832807, 0xd2c8980f, 0xcd785164, 0x2976cc9f, 0xf1c19639,
+    0x311b6fe4, 0xf591d777, 0x1fa2914c, 0xe94bedb9, 0x4f53edbf, 0xef3db16b, 0x04b8403e, 0x55ac58c8,
+    0x1aa0a4aa, 0x2e6745c0, 0x3a6406e6, 0xb6a8e213, 0xe9ebcedd, 0x29f3af0a, 0xb66fb3dc, 0xbbe61ecb,
+    0xddf786e1, 0x3c80e5a9, 0x51046054, 0x7a8c98aa, 0x8f95808a, 0x313d7008, 0xc89de511, 0xff0f4ab8,
+    0x9e547f0a, 0x84443468, 0xdf5a7e81, 0x236f29d7, 0x2850fa84, 0x1d8dc548, 0x901253ee, 0xd20c8cb3,
+    0x2227b8d0, 0xe927ea40, 0x424ea20b, 0xed91363c, 0x04935dda, 0x673ec0e3, 0x300182b9, 0xc21edc88,
+    0x8d369cef, 0x09133ffe, 0x0d9e0819, 0xdaedb2bc, 0x5f3278ab, 0x906e1dda, 0x0552b75c, 0xf51273f8,
+    0x885d8e7a, 0x30219519, 0xc4a1ce4d, 0x61df2714, 0x7b641f45, 0x3bf7750d, 0x306a906c, 0xaf02ffca,
+    0x6a5f6984, 0xfcc8a98a, 0x407db6af, 0x5708d5d0, 0xd9cebc78, 0x0568c829, 0xfe88dc51, 0x8b8504c8,
+    0xc4cbafe5, 0x4788f654, 0xed8e9db3, 0x6283df3e, 0x944bf6bd, 0x6659cd2c, 0xc6777f4e, 0xb2c6aa35,
+    0x3c897df2, 0x4de4f6bb, 0xb3c34a8a, 0x51800fd0, 0x2df8e245, 0xdb42ac4a, 0xdc27919f, 0x055bbb3c,
+    0x33c37d1d, 0xa27b29b3, 0xccfaf0ef, 0x55db5114, 0xa475d7c7, 0xd0f045bc, 0x06c9ef0a, 0x6f3e7b47,
+    0x1df2f0cd, 0xc0a61bf9, 0x1e5ee1a7, 0x463cc855, 0xdab0c796, 0xcfcdfed3, 0x77eb8973, 0xecf10059,
+    0x51978a9c, 0x1629f1d3, 0x26329f9d, 0x58b832be, 0xadfcdc72, 0x1c015861, 0x128816de, 0x6477921f,
+    0x3df0daae, 0x29613750, 0xfbf33962, 0xd9115644, 0xa02def39, 0xd636e084, 0x70cb2e23, 0x37779352,
+    0x74ae3749, 0xe0f0619e, 0x63e823b7, 0x2a7c3314, 0xed5ea117, 0x3c271dc7, 0x83bc61ed, 0x08c8a668,
+    0x86ca6bbd, 0xb8dc005c, 0x535153bf, 0x2fbd03c9, 0xadd86b69, 0xbf9831a8, 0xf38e9b21, 0xb17abea9,
+    0x9a730f04, 0x741e5d67, 0xb21f64df, 0x846d8e14, 0xa9ed3a2b, 0xa57d836d, 0xe557751a, 0x438cfc65,
+    0xd36cad52, 0x3727a459, 0x9f9554fd, 0xc6b8096f, 0x01b498a3, 0x8831f981, 0xce9c178c, 0xf920408d,
+    0x85feb62f, 0x747c8a3a, 0xe5a56fed, 0x50eb59d0, 0xfd7fc94d, 0x412b316c, 0x3b590583, 0x75c71f0d,
+    0x65adea23, 0xfe6fc50f, 0xfd5c1956, 0x8dea818f, 0x54c6f56f, 0x35f76d0d, 0x994dc63f, 0xc576e88e,
+    0xe6049b78, 0xdd2f1107, 0xcd629713, 0xd74d4a34, 0xf061f465, 0x4b45d75e, 0xc30e9143, 0x2906f02c,
+    0x4cbea142, 0xcc659288, 0xa77b5088, 0xecce4d76, 0x0a16075f, 0x8421ff76, 0xa87526ca, 0x4607ab6e,
+    0x82c53939, 0xa4c94de7, 0x9fc2f1b8, 0x9c5c184c, 0x897a1098, 0x5921413b, 0x30eb7a09, 0xd967ee6e,
+    0x906ee20f, 0xab5edfba, 0xb5baa661, 0xab771318, 0x8ba3285d, 0x42e11fe0, 0x816b314d, 0x1cd1b13e,
+    0x1c2fc779, 0xab0ad5f6, 0x13c67bd4, 0x6377dc30, 0xc32b5a1d, 0x751112d1, 0x01086a3f, 0xc6917bf5,
+    0x42f1d2c4, 0xac36be0f, 0x99721480, 0x7e755139, 0x54e146f4, 0x4d95bdfa, 0x5dbaf675, 0x3713f7c9,
+    0x69d6f1c7, 0x5029af29, 0x405fe7d7, 0x37840418, 0xec4bd608, 0x1ab5a49d, 0xf5ecba14, 0x2bfe0554,
+    0xf7a4fa61, 0xd5db5054, 0x1fef0b78, 0xfc8f55df, 0x479dfe40, 0xe562e9cc, 0x1dd0a757, 0x3ea4cc1b,
+    0x0270bf50, 0x163c731d, 0x2870c235, 0xaf6c9bc6, 0xd2f57710, 0xdfc115b9, 0xb8723e28, 0x3409a50f,
+    0xca701cd7, 0xc2f60a7d, 0x55a92607, 0x4aedc7b9, 0xb88e96ef, 0x6f302158, 0x15a2c993, 0xbd065398,
+    0xe4630397, 0x92dd6d04, 0x46ecc2f8, 0x6e23f12f, 0xd093cfe5, 0x161f437b, 0x393b4622, 0x29b66117,
+    0x9a04eb91, 0xebb69bbe, 0x75bee22d, 0x4dd8ce85, 0x14086ae9, 0xfe60476d, 0x8d8f319a, 0xd036cb3a,
+    0x0917e05d, 0x326b056b, 0x716f385b, 0x48f8b835, 0xfeb9104f, 0x35de4af6, 0x73eaa324, 0xdab79d70,
+    0xe7e6eb9f, 0x7c7b28fe, 0x28ba4314, 0x938a3167, 0x2b16f827, 0x252e3a2d, 0x90a1c7bc, 0x1747ed65,
+    0x03fbcec4, 0x097e1e5e, 0xf519c121, 0x9e4923b5, 0x70b83417, 0xff4040c8, 0xbbdbbf35, 0x86f1a912,
+    0xf5c6432d, 0x525ab7c9, 0x020d1271, 0x4aeba42a, 0x48cc5ee2, 0x410da7c0, 0xc122eddb, 0x451a92f0,
+    0x993087f2, 0x705e35d6, 0x3f111e91, 0xc810497a, 0xc528e210, 0x708f0ad1, 0xdb0b019f, 0xdbd72b66,
+    0xb529e271, 0x166ffdcb, 0x5b852955, 0x7357d196, 0x3a7be85e, 0x04de4088, 0x8f794e68, 0x1ba9d810,
+    0x1d8e32a8, 0x162976d0, 0x381066df, 0x66ee1605, 0xb30d620d, 0x7ad88d56, 0x7acc22c4, 0xc75a6f20,
+    0xd44cd731, 0x10bb48fd, 0x78074c88, 0x44491f85, 0x0e0a9fa3, 0x6046f78f, 0x532fbd2a, 0xa5f38431,
+    0xfadec3d5, 0x7db2e393, 0xc8a13610, 0x950bc58f, 0xee6474d1, 0x0fe6a646, 0xe20c97db, 0x1c5a7214,
+    0xa34b72ad, 0x762b4e84, 0x6f434d32, 0xfea2b700, 0xea8fda4c, 0x0a760a66, 0x173748c9, 0x44f5fd3c,
+    0x36da0aa4, 0x4c61bcc7, 0xa7a95084, 0x21d6cb8b, 0x811ec277, 0x542cf03f, 0x529c5b4a, 0x391de4a8,
+    0x76b81913, 0x34f68770, 0x41587b19, 0xd42cccf9, 0x124a008b, 0x233535be, 0x108fd794, 0x91be3523,
+    0xc6b1024c, 0x4f9e74d8, 0x2c091b0c, 0xe5ff82a3, 0x727e3dd2, 0x70bef7ae, 0xeeb41e5f, 0x17bf923f,
+    0x4f2f0685, 0xc4b27ac4, 0x7630a17f, 0xe40f1b41, 0x3dd60d7b, 0x550394f2, 0x3f6710e0, 0x53f4cfd9,
+    0xbd2790a1, 0xa357d879, 0x1ab5666c, 0xfd10c339, 0x5f5f8ecb, 0xac60cb92, 0x84915cca, 0x5a587680,
+    0xd3cf82ce, 0x9d50bc8e, 0x04b002fc, 0xc75fd5e4, 0x973d82cd, 0x27d7f651, 0xff859e9a, 0xa1f07d84,
+    0x6a874533, 0x1d7ec19e, 0x6a9b3823, 0x05142cdd, 0x08c93e33, 0xd8d262d3, 0x5d3a283d, 0x19303e3c,
+    0xf2278bb4, 0x74d9bb6c, 0xf27c489c, 0x2c43f8cb, 0xf7f8c86c, 0x4fff83e7, 0xcebbbf72, 0x16d7314b,
+    0x5dcaec58, 0xa00daaaa, 0xdf749b69, 0xaeecba20, 0x51909ac5, 0xb9d8367e, 0x3bffd5f6, 0xb777144f,
+    0x5e3b36aa, 0x52a2cdee, 0x7dcbf270, 0x15abaaa9, 0xbdf71117, 0x63de697f, 0xc63ce49c, 0x6f3c42ed,
+    0xc2f47801, 0x04a3fa99, 0xbf8ce8a5, 0xb0d555ec, 0xe31277e3, 0x30779b91, 0xab010614, 0x99ca71ab,
+    0xa378ba52, 0x08750de9, 0x17589c3d, 0x1d88667a, 0x4aec8da4, 0x41dee45d, 0xe8aa1e3c, 0xfbf9f072,
+    0xa7ab1479, 0x4893ccb0, 0x559fa084, 0x137fad23, 0x764376ad, 0x2e2ef1e1, 0xa21af3aa, 0xef0e7fcd,
+    0x91dd0d22, 0x9c90e00b, 0x0c7bc255, 0x44389f0e, 0x6a502f0c, 0x25018f1a, 0xded20eb7, 0xd3741b50,
+    0x192529c8, 0x3aa1e38e, 0xb18444dd, 0x4874f6d1, 0xfed29ed9, 0x1674c0f5, 0x3974d22d, 0x72632fcd,
+    0x26ef6434, 0xf8e3f2f9, 0xba73d80b, 0x7ff34d38, 0x639da01d, 0x575db435, 0xb70acbfb, 0x2c9ce673,
+    0xf04fb76b, 0x3fdb4f2d, 0x37a503e5, 0x8794d4b1, 0xac8da318, 0x16cca921, 0xe25f1b2a, 0xd726314e,
+    0xf7e6f71a, 0x17563214, 0xf5b9f502, 0x3d6fbc22, 0x31d60c9e, 0x08cf4d17, 0x0f515212, 0xf849627c,
+    0x13a7b342, 0xfc7b3b07, 0x429fca1f, 0x694630f4, 0x12f4d40f, 0x166283ca, 0x2da9b5db, 0xdda21a47,
+    0x00000000,
+    0xacc03a73, 0xdfea68d6, 0xa7af2846, 0x52714bd0, 0x17076d05, 0x8588ab83, 0x8be66bc0, 0xfdf461e9,
+    0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000121943302746718446538343641788795558818304614947850435580435818735\
+                          36608354764709453594945715091765512343073949692994620685343654997219864477696 */
+  { 0x00000000,
+    0xa6f54b17, 0xcba245ef, 0x93bb3742, 0xa14da8ed, 0xd91192ad, 0x7737cff5, 0x3224e857, 0x5218f7be,
+    0x6ab994c2, 0x06a96231, 0x67a09b66, 0x9df9bb41, 0x843f54a6, 0xe6e77008, 0x784acbb5, 0x9b1c090c,
+    0xd5ed6e9f, 0xc672412b, 0xc7ce0356, 0x1de92bd2, 0x9da044e4, 0x122bc64f, 0x5828135f, 0x83c78b3b,
+    0xb136f6bb, 0x57d9ab4f, 0xa701c04c, 0x9da26609, 0x38414ada, 0xcd2cc4f9, 0x1e588f5c, 0xcaf731e6,
+    0xbaf6c694, 0x9263a303, 0xe9192756, 0x7c87212e, 0x1c98df96, 0x5adf1c26, 0x40ae780a, 0x08b94e34,
+    0xf4e5760a, 0xeaf6fd81, 0x84b4b83b, 0x755741b9, 0xc055f3bd, 0x6211b319, 0xfcbd59fb, 0x5725098e,
+    0xadd0a149, 0x2d9e8274, 0xc6e92dcf, 0x5bf14578, 0x2ed3a108, 0xa8ca589c, 0x29a13418, 0x3d1cf28a,
+    0x3d11afba, 0xd0467380, 0xdbd08878, 0x6cbec7ad, 0xb7a8930a, 0x8e9fabea, 0xb9466e57, 0xa179c9e9,
+    0x66097da8, 0xfdfd6c0f, 0x5da480af, 0x9bb58da6, 0x5fa614d0, 0xf3e1d484, 0x23862379, 0xc465e5e9,
+    0x5a837099, 0x4066c91b, 0x614859da, 0x988e32c1, 0x55e9c9e0, 0x4ea438cd, 0x8e2399c0, 0xd610963c,
+    0x151328c6, 0x322cdfec, 0xd73a5764, 0x31b4e644, 0xc38ac4d5, 0xdeca902a, 0x3ce41855, 0x8d6efe9a,
+    0xa3071bb8, 0xa09b4525, 0x0e19b36a, 0xbfa35a7f, 0x625449f2, 0x7523de53, 0x21c43161, 0xab3ff058,
+    0xe86ea088, 0xb3a51dc2, 0xd4326c1d, 0xcf264392, 0xf41611fd, 0xfbddef18, 0xcb8e5aba, 0xccad7d8c,
+    0xb5d3a88f, 0xd639fb63, 0xcc2c4cde, 0x88e342fb, 0x32f82464, 0x784a6b4f, 0xb936315f, 0xf159b643,
+    0xaed22613, 0x26336ada, 0xb691dd55, 0xb92c99d9, 0x8d5b8769, 0x9f1713bb, 0x7b7e0e61, 0xff615dd7,
+    0x528a58b1, 0x9c808f90, 0x1c512ca6, 0xe1c170b5, 0x9749e654, 0xc3405670, 0xb507cf74, 0x8a52f78c,
+    0xad31114d, 0x25ed5fba, 0x26c5e81a, 0x884d75aa, 0x297c1504, 0x05c229a0, 0x42807567, 0x7c618cd6,
+    0xe803f95c, 0xed374f76, 0x8adbf21b, 0xecba1701, 0x3b6063c7, 0x31528fcd, 0xe82f038a, 0x4d9143df,
+    0x86f28201, 0x2ebef690, 0xc86ec0bb, 0x7f4a6f1d, 0x7a72fe7e, 0x95a25e59, 0x491bca4f, 0x9d22dcec,
+    0x7e452674, 0x10b18e3a, 0x5d8fa2b4, 0x5bc34b8e, 0x074678b6, 0xa10b7af0, 0x528c8ae8, 0x06b7bdc5,
+    0x3a2f108e, 0x64595dbe, 0x8297c70a, 0xd78031d3, 0xcbb5bd3f, 0xb53e204d, 0xc172e87b, 0x5d7207ab,
+    0x59fa7625, 0x24ce4fae, 0xdde0c124, 0x16a1126c, 0x3a96a4e1, 0xafe4b5bd, 0x5f0fc62e, 0x48b7049f,
+    0xa4b5b076, 0x332955d0, 0x12dbc756, 0x62c0a1c3, 0x2ddfb4ad, 0x3f1fbbbe, 0xfe8b0221, 0xe160a39b,
+    0x450ee364, 0x59cdffc7, 0x8d25f942, 0xa30f8bc0, 0x2542ca33, 0x1a3005bc, 0x5f57b97e, 0xac5a43b9,
+    0x58db0f39, 0x68734c4e, 0x569165dd, 0x30fe5965, 0x02fdae4d, 0x31b8467c, 0x341c3f99, 0xd2c012cc,
+    0x16c47bfd, 0x663cacd8, 0xa34fe1f1, 0x857cfa87, 0x995d83e9, 0x46491765, 0x81d37aad, 0x16b37ec5,
+    0xeb222efa, 0x1546b589, 0x81f32f79, 0xe21d80cb, 0x4ce33dea, 0xe94323f4, 0xbfa5412e, 0x6332d739,
+    0x997ae9f4, 0x3bad17d1, 0x3084490f, 0x2b6f91fb, 0x32589250, 0x2d7c66f8, 0xea0c3a81, 0x5566d899,
+    0xd9131f53, 0x0b500795, 0x8316b00b, 0x835ac78b, 0x62158382, 0x867c1591, 0x15af7956, 0x0d1ac891,
+    0x6aade312, 0x0295dc0b, 0x20f99bf0, 0x19fe0187, 0x7508e53b, 0xb86c5ab8, 0x4eb7653b, 0xa2c6c9e4,
+    0xdc33f8b9, 0x342e6184, 0xe1bdc5ed, 0x300c505c, 0xf2f5f81e, 0x6878082e, 0x769cc46f, 0xeeb202e1,
+    0xa9151e72, 0x44519242, 0xd8e8e48f, 0x6706771a, 0x657dd231, 0x9a154f99, 0x3aaae30b, 0xb4261879,
+    0x279b982e, 0xf483819f, 0x5edc1e3a, 0xc144737a, 0x6a718b2c, 0xbd4e42b3, 0x6e0831da, 0x5f92e279,
+    0x5918ede3, 0xe595277b, 0xf31463c9, 0x3497c740, 0xb0346adc, 0xcba4caa3, 0x6c5438f8, 0x94d40c3f,
+    0xc63280c9, 0x0e52997a, 0xec138595, 0xc16ebb98, 0x44ee6adc, 0xdf2cf602, 0xd8324cd2, 0xf2a89bc1,
+    0x9c2a6be3, 0x44683c0c, 0xdda586c9, 0x6365aa6b, 0x405fa17e, 0x7e40f043, 0x5ce1af49, 0x8e679af0,
+    0x8bfc69cf, 0xf9e6c594, 0x61aa6c0b, 0x76b979a2, 0x7ad38f1c, 0x69fdb27a, 0x1602a24b, 0x083aa631,
+    0xcbbce5cd, 0xc6a13d7f, 0xbc9d0a6c, 0x4235946f, 0x6e18b8ca, 0x0e621715, 0xa31e4fe3, 0x5899a019,
+    0xfd842872, 0x78566d8d, 0x607219ba, 0x8630bb9a, 0x303aa142, 0x0fb80b35, 0xd2a0edbe, 0x41bc6da8,
+    0x606a3a89, 0x1a5c832c, 0xdf84323a, 0x1ed6cb1a, 0x6702543c, 0x95e334da, 0xb2b52319, 0xbd158b5a,
+    0x28d9c9c8, 0x1398036f, 0x5319ffcb, 0xcc1732d2, 0x3e9a6f3b, 0x2e421a1b, 0x38961c25, 0x635ebf54,
+    0xacafd77d, 0x64f360dd, 0x2c0efb8a, 0xae9a5621, 0xd689659f, 0x00bf6423, 0x9d91efe3, 0x2e5c4e26,
+    0x2abe8f7a, 0x4691f9ea, 0x7fbe78a9, 0x08d5f53c, 0xe4b7be3d, 0x500bad36, 0x3111f0a1, 0xfd3d3771,
+    0x5b668059, 0xbd7395a4, 0x4f359c00, 0xe7a26edd, 0x23f2cd00, 0x593e707f, 0x9cb8f55e, 0x5f9fdba1,
+    0x613abd0b, 0x79898e22, 0xa4810bb6, 0x85263b3e, 0xbf9b6cca, 0xdb5bcd1e, 0x59cfe0bb, 0x3b21e1bd,
+    0xb1e6c0e0, 0x088d5462, 0x3325b2f1, 0xe42e019b, 0xce49cdb7, 0x82a4485f, 0xe46d6925, 0x78f089b2,
+    0x88d95d3f, 0x036d7b8b, 0x2bb6279c, 0x3e5469d7, 0x8ad26eb5, 0x3a7f98d3, 0xaaae6bf6, 0x053ccc68,
+    0xded8d7fd, 0xe88819e8, 0x62d61dfd, 0xada69d9e, 0xf000cd6c, 0x3f02ef78, 0xddacb80e, 0xed37eb2a,
+    0x2916e91c, 0x784b1a81, 0xe2a9e3c4, 0xd0e4ed78, 0xa7ce7fbf, 0xcfc496d0, 0x32c09503, 0xcd6cacc6,
+    0x13cb3004, 0xe9c3b41a, 0x8f3ff828, 0x9b1db475, 0x9afedf59, 0x1802ee5c, 0xa0cdb473, 0xf86ce4d4,
+    0x627a089e, 0xa51d470a, 0x8cf0712a, 0x8b6fe98d, 0x664988da, 0xd848231a, 0x78545915, 0xaccbd71d,
+    0x28b5740c, 0xb65e5a3a, 0x4485ba4a, 0xec43dd8d, 0xf1206e54, 0x6f38ea4d, 0xfec65045, 0xa95bed76,
+    0x34539f28, 0x2bcdd56f, 0x508fbbfe, 0x6b3f111d, 0xbf435d26, 0xa5fb97a6, 0x5a26fa5a, 0x71e271b9,
+    0x7b1210c1, 0x2c765615, 0xdfddf4ff, 0x2c8cee25, 0xf71ae8a7, 0xfa3228de, 0x839a2f26, 0x53d6b708,
+    0x6acc5845, 0x85a4bbf6, 0x54dd3dda, 0x5a3c5346, 0xb95a5fed, 0x55a607ae, 0xb4a17342, 0x9a043719,
+    0x5fa85f2b, 0xd81c6439, 0x3187e8bf, 0x6734cfa2, 0x08b9849c, 0x1d891350, 0x166fc770, 0x8526919d,
+    0x62e236b5, 0x3c2c19b6, 0x251d9723, 0x5d6ffc80, 0xf348a6e4, 0x0161035f, 0xe6abb14e, 0x0efc8420,
+    0xf55f0624, 0xaafc37b2, 0x1a7ae965, 0x43302e86, 0x4a7c5dd2, 0xa081e12e, 0x1e0305e8, 0xaa3cdf90,
+    0x40991615, 0x159b0b0f, 0x68fa6bf3, 0x658ab673, 0x679e97cd, 0x90b02088, 0x79d004f3, 0xaf3f6f88,
+    0x1be93969, 0xe6f651cb, 0x02ff503d, 0xc3fdee64, 0xdbbb92e5, 0x6f398bf3, 0xf8dcd1b2, 0x947e01dd,
+    0xa7699233, 0x84b1aec6, 0x67b430e2, 0x311a928a, 0xae31996c, 0xcdc29db2, 0xbae80edf, 0x951e8a2a,
+    0x4a678636, 0xbc4ceea4, 0x721aafae, 0xf66f3057, 0x9f9abc66, 0xcdd3d9af, 0x07ed46d8, 0xe2c98274,
+    0x7595a41c, 0xb51e6f8f, 0x0213a3de, 0x6a6bd98e, 0x5a2c775f, 0xe9569d21, 0xf75b3001, 0xf5d6f4ac,
+    0xdaa6f83c, 0x5ce8b6b9, 0x21d4daf3, 0xd24b96e2, 0x9d09b892, 0x31716fb6, 0x836ff0e9, 0x563e9172,
+    0xe1187443, 0x3f663e62, 0xbbda69c5, 0xcf95b8f0, 0xf9c16779, 0x6c596175, 0x09894afa, 0xe44cebf3,
+    0x7e076ac5, 0x1a0c5c72, 0x2f229904, 0x08a13fe7, 0xc7f835f6, 0x1d46ce97, 0x9d1aa39c, 0xdc7b191a,
+    0x084ce325, 0xe2f5d0a5, 0x6cff93e1, 0xf124c2a7, 0x6a889818, 0xe849a79c, 0x48501fbc, 0xa18b5c95,
+    0x32595025, 0x5f05b9e2, 0x22647753, 0x60fe2f11, 0xe24d7a1f, 0x6a035b26, 0xf8b6f9bf, 0x1dc145e2,
+    0x36d73c5e, 0x0ccaaf8c, 0xc011801e, 0xdffb0339, 0x17831a79, 0x68881664, 0x7e2a644e, 0x38b08845,
+    0x35ff4453, 0x13e69b1d, 0x72ad64d3, 0x2b56491b, 0x601f83be, 0x52439cdd, 0x2a54cd48, 0x832c474c,
+    0xb1519d60, 0xbd389f36, 0x2921866a, 0xe0878597, 0xfc09b124, 0x703766cc, 0x68b357f7, 0x36b9bf03,
+    0x32d5a31e, 0x45200827, 0xdc8af6a8, 0x7e95ea91, 0xa58fc09e, 0xd0b4c6cb, 0x6ec599fc, 0xb4b38494,
+    0x91fb9886, 0x31d0bc45, 0xef418b1b, 0x40827b2f, 0x84bdfc6b, 0x48ab1504, 0xf87f922d, 0x6156e225,
+    0xe028fabd, 0x3b4c638b, 0xbfd2bc89, 0xb677c135, 0x63592942, 0x3a7e8d22, 0x814ddf36, 0xd14d2d4d,
+    0x92885caa, 0x117494b7, 0x6a27be1f, 0x0dba4fd0, 0xf4ba9300, 0x6fefaaef, 0xf24044a8, 0x2c197a86,
+    0x5ec998ff, 0x489143d4, 0xad1c5a98, 0x84f3199b, 0x1fa8e583, 0x7b3b5472, 0xdf46c9dd, 0xf853fc45,
+    0xcae96a82, 0xf3b8b209, 0x490f441b, 0x11f0b98b, 0x4eb8b267, 0x19e1b613, 0x409971dd, 0xcf012443,
+    0xde4cc22d, 0x7dcafc9a, 0x896bdee4, 0x4115c0f7, 0xe6d5489c, 0x1399421e, 0x70f89488, 0xcaae7a52,
+    0xaa1a2c09, 0x09af50cc, 0x85795e7d, 0x1192f801, 0xeb59b989, 0x701ebfa6, 0x5dd4fe45, 0xaadf92c3,
+    0x8c5b5a77, 0x13a514cf, 0x31fdb007, 0x0c54bc21, 0x922bc374, 0x3e2536aa, 0xb901d65e, 0x2db14083,
+    0x2777e61b, 0x74ded2d7, 0x2ec65c21, 0xd9d0a76b, 0x8a206eca, 0x7afd5f00, 0xf645dd69, 0x35ece152,
+    0x0ac04a7a, 0x295b0bf6, 0x6be6418c, 0x125bbbd4, 0x9cd8dd1c, 0x59278b63, 0xd206a836, 0xed500400,
+    0x24797c1c, 0x9fc0a7af, 0xee6a0491, 0xccf1eb0b, 0xaefcfe13, 0x7e9c901b, 0x055f07e4, 0x5df952b5,
+    0xde654c81, 0xedb65f64, 0x084f7502, 0x9dc6861e, 0xedc9cd0e, 0xaf3af501, 0x536dc9bf, 0xcae545d4,
+    0x390899c0, 0xc7eb4b8f, 0x612a14ba, 0x89fb572b, 0x5eab77e5, 0x272b9c35, 0xda3a42e2, 0xeadef236,
+    0x05abd1cb, 0x38099b2e, 0x953b9a99, 0x7d8a6f1f, 0x1ec5ac68, 0xcd486344, 0x78a3b2aa, 0xef5d5610,
+    0x8e3fe88f, 0x19afbbc8, 0x24b53284, 0xf447434d, 0x4245334d, 0x44285f0e, 0x487770eb, 0x91612018,
+    0xed22948e, 0xcefc76ba, 0x0bc45fbb, 0xecc40235, 0xa0e6df43, 0xce7c85b3, 0xd0255c79, 0x0b4d10a5,
+    0xa84c4a74, 0xe5f96dbc, 0x6682bd7d, 0xc6576b2e, 0x78374156, 0xebc3ad39, 0x8f9ff336, 0xfac575ab,
+    0x23e32b11, 0xbb26bfc8, 0xa3d42753, 0x517d9ad4, 0x4e56ebce, 0xea88a36d, 0xcafd6ef7, 0x6d4544d8,
+    0x99601251, 0xb03dd1cb, 0x8f37c676, 0xae4304ea, 0xfd9a1b6a, 0x3bd168ec, 0x976dda50, 0x20f931b1,
+    0x0231673e, 0xbdf74cca, 0x9c9016d1, 0x53a638b9, 0x77d96e1a, 0x73a66713, 0xda37d9e8, 0xb30976f2,
+    0xbba5b1b1, 0xeb4ad8b8, 0xa1237a9f, 0xdd753f96, 0x8ce30db6, 0x79d6c628, 0x4c1a9eb7, 0x2b435edf,
+    0x59c77a65, 0x5768e3dc, 0x4bdf88ad, 0xcd4e66cb, 0xd5bf1291, 0x3a606626, 0x14531cd1, 0x6e729076,
+    0x5d08b26d, 0x1095533b, 0x0fae2236, 0xf66cb36b, 0x396a2839, 0xf4bff0ef, 0x109c4ce7, 0x7fe247ed,
+    0x81002376, 0xe1fe151b, 0xeac237aa, 0x41b43847, 0xeac39389, 0xa7a135c9, 0x00a42cd4, 0x882cbe60,
+    0x31087266, 0xffade9fe, 0x8148bce0, 0xcd30741e, 0x8e88abfc, 0x07424e52, 0xf35222c9, 0xe4640c3c,
+    0x52b056e4, 0x56b27b1e, 0x86762239, 0x1f297f9e, 0xa0a5ab52, 0xb56e12a2, 0x2c325654, 0xa2864a19,
+    0x377243ca, 0xe8e98f80, 0x06e0f52a, 0xa1dde05a, 0xf6149b66, 0x6a087b8f, 0x057fd7c4, 0x130f4a10,
+    0xb4dc08b2, 0xd5a9df29, 0x65c0b641, 0x75346b42, 0x9746ecc0, 0x2dbcbdf8, 0x6525b6a7, 0x1dd25524,
+    0x6c725f28, 0x12b94b1b, 0x6c952741, 0x10d0ed0f, 0x535bfbaa, 0x6f242720, 0xc3ccd6bb, 0x04055ed4,
+    0x52d2b462, 0x79ebb353, 0xc264b242, 0x1e81ea86, 0x8f7da900, 0xf4a7a318, 0x6d4b7d7a, 0x792f5b8e,
+    0xc30167a7, 0x17502dcb, 0x0a003c65, 0x5974403b, 0x0dd2a16d, 0x84f19240, 0xb7775228, 0x5fe95a7e,
+    0x7ac3cbfc, 0xf68865bc, 0xbfab016b, 0x744da5d6, 0x7f1e3c37, 0xaa35f572, 0x368e0e76, 0x8a6440de,
+    0x9e7e23c9, 0xf34be7ca, 0x095c2d47, 0x85eaf532, 0xfe7b4863, 0x1aced180, 0x0ab7a1f4, 0xebe062d5,
+    0x5a09385b, 0xae199e67, 0x7f693a56, 0x94291b05, 0x88c630af, 0x3399ef9b, 0x98b407f3, 0x7fc6b7ec,
+    0xcc81820e, 0x7cabc4c4, 0xe79d42ef, 0x687532bf, 0xb05e683a, 0xd4e2d51f, 0xc5590463, 0xaa548fc2,
+    0xeccc63c9, 0xf6101a4f, 0x32a4c15a, 0xc52872c5, 0x34d4e97d, 0x50ba71ea, 0x84799575, 0xda5f9287,
+    0x71e629e7, 0x7dded5b3, 0x7a2c4303, 0x46dedc4b, 0x07d7fe3c, 0x7c7c72a9, 0xbc886f0c, 0xc1b4f0a4,
+    0x2cecbda0, 0xafd09541, 0x7aef509a, 0x10373b40, 0xf6af37ef, 0xe8173c42, 0xbd725173, 0xa44d5e59,
+    0x80696aa5, 0x0042e3cc, 0x9dbe4e81, 0x30b514ee, 0x1e7805ce, 0xb0c0b442, 0x5cbb79a9, 0x7a153d8a,
+    0x39f0fda1, 0x55dc6222, 0x27b03c63, 0x474481d0, 0x6349b010, 0xc06d267d, 0x2ced909b, 0x45048471,
+    0xf303118d, 0x3cd5e98c, 0x96582281, 0x32145a1f, 0xf8d3d4f1, 0x93f374b3, 0x7e20e3f0, 0x03f407b2,
+    0x58052406, 0xc8a2e89a, 0xd0705fa9, 0x7f1f4ae0, 0x910c6196, 0xf4068932, 0x2b94dbb5, 0x1a71a1b8,
+    0x13481417, 0xa9ea0c71, 0x33de88c4, 0x48436d46, 0x33f8a310, 0xb767f60c, 0xc2f37e63, 0xa71d7437,
+    0xc121b75a, 0xe703e8be, 0xcf6889e1, 0x3b475a68, 0x64d09cb5, 0x9d1e4afa, 0x2edfcfe5, 0x221cf390,
+    0xd49cedf5, 0x7de9a788, 0xa2cf7581, 0xdfe5a540, 0x3939afc6, 0xbdd5139f, 0x8b251625, 0x104e2171,
+    0x03d35999, 0x24bb8fa9, 0x921d7618, 0xf8909c71, 0x80a13ed4, 0x9ddc9594, 0xbbab4401, 0xfd264328,
+    0x948ae7e3, 0xce5b0e62, 0xa97c6f78, 0x8ca3a357, 0x39c1951b, 0x9b58ae8f, 0x94b1e20b, 0xe2fa4650,
+    0x1c9d388e, 0x3f68261f, 0x0a2616e6, 0xf496b139, 0x6daa7f9b, 0x23b6a9cc, 0xcfad9f43, 0x09a98090,
+    0x3bc57783, 0xa444acc6, 0xcac8bbc2, 0xc3aecb4c, 0xd60db4f6, 0x6968b3af, 0x759b59bd, 0xc7aff97b,
+    0xf44c6dab, 0xc40f7d57, 0x8f1939bc, 0xfef80130, 0xc2d2f26e, 0x8c753fb1, 0xb3848053, 0x204e71b1,
+    0x7572e6b0, 0xbca60466, 0x7654bc6b, 0x1c61c927, 0xc5bed6a8, 0x002b7600, 0x38d4e066, 0xfa894ff4,
+    0x282a3db3, 0x6f87b8a2, 0xfce61b0c, 0x2a3d7510, 0x86e00435, 0x4d826231, 0x2c5485c4, 0xeb894a4a,
+    0x382a6b70, 0xc900e749, 0x122439c8, 0xe38c3a99, 0xe5642c85, 0xe6f8fd92, 0x63aa887d, 0xd1e0a416,
+    0xf61d9ca8, 0x17b12c7f, 0x549e71f9, 0xd88b6aea, 0x636e2d23, 0x90f0dbf5, 0x90ef0e6b, 0xa86e5fa8,
+    0x00000000,
+    0x56601d39, 0x6ff5346b, 0x53d79423, 0xa938a5e8, 0x8b83b682, 0x42c455c1, 0xc5f335e0, 0xfefa30f4,
+    0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000060971651373359223269171820894397779409152307473925217790217909367\
+                          68304177382354726797472857545882756171536974846497310342671827498609932238848 */
+  { 0x00000000,
+    0xaaeac7a9, 0x520501a7, 0xcb6d2825, 0x2a87bbb3, 0x0f36f4e6, 0x80213bdc, 0x2a83d423, 0x911571a8,
+    0x0ac54023, 0x9183624f, 0xadbb1380, 0xe8b9df6a, 0xb6a4e9b7, 0x4922da6d, 0x156045ed, 0x533b57c9,
+    0x6dadaec4, 0x486cfcb4, 0xa9f1d509, 0xc30b1455, 0xd590bdab, 0xa35dfa50, 0x85d53490, 0x910d86e5,
+    0xda4c497f, 0x42436995, 0x82eaad49, 0x7110ad27, 0xe6f2d4e1, 0x5d390030, 0xe78f7798, 0x6e163360,
+    0x68a17fc7, 0xd44ca03c, 0x465dddcf, 0xcd3aad42, 0x6812b078, 0x5fdb9384, 0xb165837d, 0x5b1d8a05,
+    0x5f3ba205, 0x962e0e94, 0xa6ebf19e, 0x12303882, 0xd4404868, 0x5701d09f, 0xdece1d71, 0xd4575a6a,
+    0xa6746325, 0x3d28245e, 0xae2816e0, 0x8503a5e3, 0x37fc6d00, 0x003faa00, 0x1fcdcd35, 0x92466f70,
+    0x8ac7535f, 0x62db51be, 0x1d7f7711, 0x6beb5aeb, 0xcac7040a, 0xf7f48096, 0xd0179da9, 0xa6aba58f,
+    0x9d34f40f, 0x378fd9af, 0x3b9ef2f2, 0x991f6701, 0x3897d56d, 0xa4a11fcb, 0xaa5db244, 0x43d9d091,
+    0xfa234ed7, 0x90e73105, 0x7001470e, 0xf3d2be63, 0xaecd19e9, 0x24a2f6b2, 0xaffa2495, 0x3b7a1d2c,
+    0x96789456, 0x46195f8c, 0x8d8a004e, 0x57594174, 0x8b2d9d88, 0xcdb13482, 0x72287bac, 0x0b8f3390,
+    0x62029745, 0x1974cae1, 0xb5116767, 0x721a27dc, 0x3c919158, 0xa8139036, 0x6c471955, 0xec25201b,
+    0xb45dbdfb, 0xfcb07b20, 0xef7c7b87, 0x862c3c52, 0x155170f2, 0x9306973b, 0x4297c997, 0x96b92e5f,
+    0xf57a5a58, 0x4be8bb94, 0x9c8541a8, 0xb6f567d5, 0xf91b8114, 0xde982d15, 0xf025eb82, 0x4fda0053,
+    0x73f660d3, 0x16b011b9, 0xc367423b, 0xca115042, 0xe92b9177, 0x6bea2544, 0x3288d416, 0x20b40e5d,
+    0x0dcc1e1e, 0x71161b57, 0x2f9b773e, 0xdf27eef8, 0x2d0f771f, 0x2f312563, 0xc2f140de, 0x2f94d506,
+    0x8feaa2a2, 0xa4db150e, 0x9448498a, 0x9bfea4eb, 0x2c411dc8, 0x9eb0e0df, 0x5d9c9cf2, 0x83228bc1,
+    0x3fceecc8, 0xfaa4b8a3, 0x2250bb77, 0xe58e492c, 0xbca35f8d, 0x8ce520e4, 0xd426211c, 0xfa95cc22,
+    0xe1812730, 0x8125f7c5, 0x79293a90, 0x8d5d1941, 0xe6f05bf6, 0x4033b0f8, 0x25362a88, 0x48b02d9a,
+    0x5772f10a, 0xfd495d41, 0xf050993b, 0x63905783, 0x853323d3, 0x4d3e2f0b, 0xfbfd8759, 0x39ee443f,
+    0xaba02caf, 0x448c3641, 0x1a070378, 0x8f274a3d, 0xb692efc7, 0x1b67df7a, 0x7f48e154, 0xe2da5751,
+    0x0daeffc4, 0x7d67826a, 0x55c328d6, 0xc99faf08, 0xc45da17f, 0x1a0b82fa, 0xd7531657, 0x8ff9165a,
+    0x990b9832, 0x38b06282, 0x334e6d32, 0xa445306d, 0xdc6512b4, 0xe907e6a4, 0xc6cc2d4d, 0x2f8e9819,
+    0xe8991b8f, 0xcd78c3ce, 0xeea4ae8b, 0x21eabc27, 0xc73d9c27, 0xcc07faa2, 0x3c4a4258, 0xa7f1a7ee,
+    0xa553093b, 0xf7e31daa, 0xd779abac, 0xfa0581bf, 0xefd11a02, 0xcdb6e2b9, 0x1c09de5e, 0xb9f24d95,
+    0xbabf47da, 0x19982884, 0xf8148c7e, 0xc70f4b0d, 0x0893a19a, 0xa87e93c2, 0xd16c9650, 0x600f0bb4,
+    0x978b8b29, 0xac1778ff, 0xf61b1894, 0xd2f1c5a5, 0x82a6d334, 0x14a219aa, 0x342df890, 0x33317c9e,
+    0x00d2fac0, 0xcc942037, 0x31d96900, 0xef044965, 0xaa693ecf, 0x31395d87, 0x61ff3602, 0x131f95ea,
+    0xb46d9d6e, 0xc38d7905, 0x10c42e13, 0x1cdfd03a, 0x6592ee84, 0x7e1c9162, 0x2dd83c7d, 0x5403d63f,
+    0x6fa01b13, 0x1b324a4d, 0x5fd0610d, 0x6152b552, 0x1469c277, 0xcdaf3803, 0x14325f21, 0x10fe6108,
+    0x37a1d15a, 0x584bcbf3, 0x1da21a6a, 0x1f6ba90e, 0x7e8a0fa1, 0xe5bc8e31, 0x34dbb82c, 0xf43c52d1,
+    0x19f57df5, 0x9a3f0e5c, 0x5386ce1a, 0x7002bf76, 0xa7415aad, 0x535c7c8b, 0x0d8a9aeb, 0x194c9b24,
+    0x44b9f32e, 0xb2eefffc, 0x0390457e, 0xf3802a51, 0x22c0a56d, 0x99e79993, 0x9d602515, 0xa533dd01,
+    0x74d02342, 0xb7c641cb, 0xdbb361ab, 0x17e55d43, 0x941545be, 0x2f0159dc, 0x77ec74a1, 0x1f3424b3,
+    0xf4d7c19a, 0xbdfc72b4, 0x74ab5b9e, 0x3b8924d5, 0xc116a98f, 0xc1856887, 0x2b3d5f41, 0x00fd56f3,
+    0xd336e97d, 0xeb09dc24, 0x634e53eb, 0xbfcd3911, 0x9fcbd0aa, 0x1b5130da, 0x983c6c1e, 0x05d97df9,
+    0x57892548, 0xe52504d6, 0x378a76a3, 0x5163bdf4, 0x42cdab15, 0xb7792c40, 0x9fe059c7, 0xf47f3f19,
+    0x918b965d, 0x0eea8c52, 0x375d3da1, 0x2bef758d, 0xa402e140, 0x063cb51c, 0x3406926c, 0x398027b5,
+    0xc1491322, 0xceb5d779, 0x5e06b822, 0x94faddc8, 0xf37c7a31, 0x6fbba889, 0xf976b0be, 0x8de30a06,
+    0x26d2facb, 0x2e22b6af, 0xba000346, 0x05095c0b, 0x1e31fad1, 0xb476c229, 0x581eeebb, 0x277913d4,
+    0xecfb4d48, 0x799f57cd, 0xbbb86e1e, 0x3344fd52, 0xbdcd34ac, 0xf34bd236, 0x3bd2c38c, 0x741687b2,
+    0xbe3ca168, 0x31f3d02c, 0xba3a43c6, 0x323a1f7a, 0x6e0ef39b, 0x807a1202, 0xbedae8a1, 0x00570c43,
+    0xe72a9d2a, 0xb956b5a1, 0xc9540a31, 0xae5541e5, 0x70cb4c3e, 0x5680439d, 0x29264027, 0x43282fb9,
+    0xa4a9aae6, 0x7b21de1a, 0x9abe0267, 0x8ff95432, 0xc8ae89de, 0x4d0d335b, 0x4dc83ec9, 0xd7737cae,
+    0xe9f727be, 0x1619407c, 0xc682701a, 0x2706924b, 0x49d93ca8, 0xe69de144, 0x131648c4, 0xfda69f12,
+    0x382a9418, 0xfcf166e5, 0xba045bfc, 0x7e74d525, 0x089e61db, 0xa998204e, 0x51f50153, 0xda54feea,
+    0x7533e86f, 0xc3c0db65, 0xd407e0c2, 0xa4ae07bd, 0x73afb66f, 0x451e7d65, 0x90795981, 0x0898f87b,
+    0x4f12e947, 0x934b2635, 0x71c0d6d8, 0x14427993, 0xbcd17eea, 0x5138eb94, 0x96176200, 0x8e068a47,
+    0xfb6c2f1d, 0xea9a150c, 0xd9ed4ccb, 0x2b341eed, 0x6e764d87, 0x3629949f, 0x9b6c16f6, 0x0602099f,
+    0x8bbfce4d, 0x4a4045cc, 0x3d376c4b, 0x62f5999e, 0x5020af11, 0xc6d761ed, 0x6a639f33, 0xbce7569a,
+    0x93607074, 0x19085327, 0x86a1e8c0, 0x05515597, 0x46c90945, 0x591969f7, 0x715a33d7, 0x629620ce,
+    0x99cfd668, 0x8d948ad1, 0x31267106, 0xd18762d4, 0x7dce781c, 0x7759de18, 0xbf909f0e, 0xc6efcc73,
+    0xc0f1f9f8, 0xc25ae17d, 0x3fa3144f, 0x7f4f9498, 0xf90f53cf, 0xbfa1be4b, 0x784bd87f, 0xc2bd2fdf,
+    0xf83b89c7, 0x6f0ed452, 0x365911ad, 0x093a239f, 0xc9c91396, 0x93914492, 0x077d7b2d, 0x7fa40889,
+    0x9c81310f, 0x239b43a2, 0x7bef0226, 0xb03a50d9, 0x54ea468b, 0x8d24dbb7, 0x4f830908, 0x67c0c550,
+    0x13dac9cf, 0xcf18f4e0, 0xb811a10f, 0xee8d014a, 0xcf58d3b8, 0x93341d1d, 0x45df633f, 0x93f3dd65,
+    0xb301b047, 0xca5d3f4d, 0x16d4113d, 0xe1b1c77d, 0xda110e9b, 0xdc33abfd, 0x04b996a1, 0x4e4be425,
+    0xb6600530, 0x1a52592d, 0x68e5421a, 0xb8946fa4, 0x12c013c1, 0x3b33c523, 0xb5add62f, 0xa7aef94f,
+    0x42f5d3d2, 0xbc0725c2, 0x64036e39, 0xaf7366a5, 0x4d9225bb, 0x767bdc34, 0xe6f747e0, 0x21aa7374,
+    0xa8f41a2f, 0x5fa108af, 0x98c2a61b, 0x8282ed8d, 0xb49df76c, 0xfef9baed, 0x3dd4223b, 0x21dfbebc,
+    0x4218cb16, 0x81e4a56b, 0x8dc83d3c, 0x4a76f8df, 0x144b34c8, 0x358108f5, 0x8167bdeb, 0x53e07a7c,
+    0x186f59e3, 0x94db68a2, 0x5ffe57a8, 0x01d472bd, 0x466bd5d8, 0x8e2e63dc, 0x78696f8c, 0x6e3e25e1,
+    0xa2ed2027, 0xb7155257, 0xc8720b10, 0xf85a54a6, 0x7f27e577, 0x19d77d6a, 0x450277cb, 0x19c063f1,
+    0x187b295f, 0x650774a2, 0x8bcb0db9, 0x26d44105, 0xd2436234, 0xaf48cd0b, 0x053e21a7, 0x381d7037,
+    0x856419f0, 0x53c4b54a, 0x124eb1ef, 0x7c1c7295, 0xd29172df, 0x947a6ba3, 0x112e5e06, 0xfaa73560,
+    0x4a894ebd, 0x236c9ce6, 0x59776ba3, 0x5cb663d5, 0x3f0c981e, 0xf8d22a46, 0x10da6692, 0x11a8722f,
+    0xffc7215c, 0xdb3c6c5d, 0x4f596d81, 0xcfc9ca62, 0x1f739ad6, 0x313a7938, 0x36043a0b, 0xd1994c13,
+    0x40997fd2, 0x43385965, 0x9ce53860, 0xf9e1d7d7, 0x2c63d0b5, 0x280bba06, 0xf2548d86, 0xdc674526,
+    0xed0c1216, 0x5e99bc28, 0x06c56193, 0x1290da9e, 0x836dcf9b, 0xf80ab0a5, 0xe1ede335, 0xb432ece0,
+    0xfca0d6e8, 0x0f65d7cd, 0xe7200c49, 0x27e92fa4, 0x677a17e5, 0xa26e0cf2, 0xe0491f92, 0x3162da14,
+    0x88e4d86b, 0x5e840bc8, 0xffbb22b6, 0x9f82f106, 0x568994a3, 0xcfcde3c7, 0x74ca3df1, 0x6bcaed0f,
+    0xe8b1972a, 0x41ff050b, 0x3ee8f2b5, 0xf6b06965, 0x04c88b9c, 0x362f3dbd, 0xcff4c16d, 0x9458d23b,
+    0x415052a0, 0x85b18bcc, 0x2b702f03, 0x55e0927d, 0xef4b362c, 0xaa725b1a, 0xb7165c09, 0x1237cfb5,
+    0x875f1920, 0xa2516192, 0x05cd4d0a, 0xc7b4db9f, 0x6d255895, 0x4e262e30, 0x43e54dbc, 0x2eeb3181,
+    0x8f3be9e7, 0x995ce1f6, 0x0fc84433, 0xfc2ea006, 0xbb619035, 0x91148a40, 0x5203246e, 0xfab827f8,
+    0x92abde94, 0xc4491103, 0x1d193ee1, 0xcec0d379, 0xf147d89f, 0x5dab5981, 0x3e8d339e, 0xd5d3cdba,
+    0x6f4c95db, 0x0f4cfd90, 0x7a3a45de, 0x287a0a45, 0x4801d0c7, 0x1f8c01a5, 0x37972b5a, 0x9d4e6129,
+    0xed046610, 0xe47cc7d5, 0x355f0406, 0xa7a3a118, 0xac8d1bde, 0xcc7b713d, 0x1e44f4d2, 0xa86cf455,
+    0x7cc5fdc6, 0x6711af14, 0xb89114b4, 0xd7f52af3, 0x0da5ace6, 0x9333d3a6, 0xf2208880, 0xd71bec9b,
+    0x0d5983c3, 0x0dd1c4df, 0x9f811939, 0x30124582, 0x587dc241, 0x468289bd, 0x7904de94, 0x5eb67cee,
+    0x3cfc69f5, 0xdcd96db6, 0xd65758cc, 0xba4fb47e, 0xa4e80bf8, 0x1445ee34, 0x51bc419d, 0xbdda35ef,
+    0x2acec6ff, 0xfbb5b477, 0x0a320e5c, 0x8cf6c3e6, 0x3d49a8cc, 0x3ee221fc, 0xfc2ad555, 0xa3d7a879,
+    0x43515196, 0x1873bb30, 0x48b1b35d, 0xa901dd4d, 0x68988ea5, 0x3ddee3ca, 0xc45337bd, 0x0240b198,
+    0x4a1eae38, 0xdf085c8c, 0xe765cb94, 0x04885c68, 0x7f0a67dd, 0xe8e9e84b, 0x5ebe7e96, 0xce1f556b,
+    0x235982ad, 0x8e369d77, 0x7b685204, 0x36f46308, 0x9cbb15dd, 0x321da088, 0xa608ee01, 0x2b97736e,
+    0x5ae2c52b, 0xabb625af, 0x306725df, 0xb2943130, 0xf23361af, 0x61962a5e, 0xb655eb1d, 0xc4446362,
+    0xcb0ab6cc, 0xa1034b31, 0x39420f28, 0xfa448dd0, 0x7087e16f, 0x87a0185f, 0x9e473d9c, 0xfdd3f37f,
+    0x53aae12d, 0xb9eb1c2e, 0xd5e3db97, 0x6aa70226, 0xe083bfd1, 0x1b2d5b71, 0x0c5b5b8e, 0x8f270054,
+    0xec61ea27, 0x2088958b, 0xce34c7e2, 0xc5b079ea, 0xa144dc39, 0xd6c0ad17, 0x2de24df7, 0x4d112488,
+    0x8f5fbee6, 0xcac82395, 0x3448cc2a, 0x2811fa2e, 0xe244f55a, 0xefcc5829, 0x67d39734, 0xb0bb797b,
+    0xf76cc601, 0xc1a981ef, 0x0e05a49a, 0xafc7fb16, 0x08899053, 0xd9daeed6, 0x11c8f58c, 0x7ed408a1,
+    0x063a0c0d, 0xe49ef257, 0x5064f929, 0x6b62c223, 0xa4e33c95, 0x487d9fc1, 0x2fff0560, 0xf6c86128,
+    0x9ca55f3b, 0x9695a052, 0x194793ae, 0x473ba736, 0x892e790b, 0x38f03938, 0xc52c17cf, 0xd9d9215e,
+    0x6bdca0eb, 0x52673099, 0x2d2b31e7, 0x62014098, 0x9b0f0d56, 0xf1c58b32, 0xab24a5fd, 0x19d078a2,
+    0x595e16ec, 0xccaac3f3, 0xe9b50640, 0xa16dbed0, 0xaba712b8, 0x98c79d00, 0xd8704465, 0x28b3a152,
+    0xd9d5016b, 0xf6bd40fa, 0x3c2a6801, 0x038c653f, 0x34520e91, 0xe61ea221, 0x0af84c13, 0x94fff0d7,
+    0x8dfd47c5, 0x47cdd4ba, 0x790a2d0c, 0x0810af10, 0x9908a515, 0x70153d0c, 0xe18dd9e9, 0xb98431be,
+    0x9bd12969, 0xc8fda215, 0x05cb560b, 0x27b3470b, 0x6c0ae81e, 0x85b45724, 0x990ebcf7, 0x62204c98,
+    0x09511f68, 0x5a79a5f1, 0x472ffd74, 0x0dac5b96, 0xf8bf62fc, 0xaa9cb1f8, 0x653e2b9d, 0xac089f93,
+    0x69f139e2, 0xc27a75a1, 0x5e28bb27, 0x84c9949b, 0xc965c44c, 0x37af1d28, 0xe3d4f8d7, 0x049ca615,
+    0x51b26200, 0xcd7dabca, 0x1d2f71c3, 0x876e0938, 0x888e4f32, 0x42d68747, 0x3c60aec1, 0xb4733dce,
+    0xfd6d0b5e, 0xae03ed59, 0xe9085465, 0xfd9d191a, 0xd9888e0a, 0xea448741, 0x8ddb067d, 0x092d9001,
+    0xf5fc4665, 0x4a158336, 0x61f3c295, 0xf4ad9697, 0x700b3bac, 0x6fbf2df9, 0xd85239cb, 0x2c6244a3,
+    0xb5d01667, 0x85cd6373, 0xf02e7e81, 0x8afe97bc, 0x950fb17b, 0x40e03f1d, 0x9ad769e9, 0x469efa86,
+    0x893d52d8, 0x72e95dee, 0xda403d02, 0xad58de62, 0xa45e6bf0, 0x91540b23, 0x69e2d9e1, 0x4a54efa9,
+    0xab9d33e9, 0x51f355fe, 0x75720dba, 0x862eba8a, 0x949faa90, 0xf9212372, 0x5461c2da, 0x137de05c,
+    0xb79a4d34, 0x50804fd8, 0x081c6f8f, 0x65acae73, 0xb27b5b54, 0x2985b464, 0x71197a97, 0x5494711c,
+    0x29d47e48, 0xc3e69442, 0xc14afccc, 0xa310abce, 0x709c9867, 0x90493052, 0xa8d3e7ad, 0x3f180a8c,
+    0x2c743634, 0x62e1da9b, 0xc25c05d3, 0xcf2e43b8, 0xd1b23be7, 0x81892f8e, 0x84433f57, 0x265c9bb4,
+    0x32ffec11, 0xb915d11f, 0xf719e2fa, 0xad896b56, 0xbe2d8f66, 0xbcf91f3c, 0x9688fa61, 0x4480a69e,
+    0xd3908e50, 0x5161b0f7, 0x78ab1c2d, 0x52c9f6b6, 0xd0d8f31e, 0xa3b2ab1a, 0x2890c51d, 0xe5309b71,
+    0xe6e40bdf, 0x5c6852c8, 0xc62c6fae, 0x42a15d4d, 0xe7e6c0ed, 0x1f5914c0, 0x866f2323, 0xde63b8b7,
+    0xd2781c35, 0x7704d7c5, 0xe682128a, 0x77b13a55, 0x4c5bd215, 0x1f5ec0ee, 0x0b8195c6, 0xed63949c,
+    0xd357a760, 0x0379746f, 0xac6fb7b8, 0x0b006b52, 0x1c8ff21e, 0x0d2ef786, 0x0f70794c, 0xb573c05d,
+    0x62132816, 0x944db29b, 0x1bb5b084, 0x1f1570e5, 0xc4a3dc8e, 0x5f770058, 0xb31d9354, 0x2e83c03b,
+    0xfffd7299, 0x642078ab, 0x0d7cdadf, 0xdf7f096a, 0x390d91e4, 0x25797259, 0x18ab61c3, 0x2037eadd,
+    0xa4971da6, 0x73d3c2bf, 0x4b1e80ab, 0x41e724fa, 0x141906ef, 0x6e77af42, 0x797f22cc, 0xd1253011,
+    0x4fc9c1c1, 0x2c56ba91, 0x394f8642, 0xd6a92acb, 0xab791b2c, 0x534b9625, 0xa409767c, 0x44478155,
+    0x7ea5297f, 0x8343a4f4, 0xb09eba10, 0xf8a33209, 0xa0b7ae83, 0x66c0ebca, 0x0903d8c8, 0x641f66ea,
+    0xe62fedfb, 0x3cb4a5a7, 0x9391c476, 0x75f641bb, 0xd50ec07e, 0x8795a4d1, 0x37fbfb0a, 0xcfd997ec,
+    0x094b52af, 0x94357e1d, 0x67a43d45, 0xa05cc34d, 0xacbc625c, 0x71969f60, 0x8a746cfb, 0xb518c57e,
+    0xd463b647, 0x9ec5d5bc, 0xc6300e2e, 0xdd04f7bd, 0x7a0b1382, 0x7be6d844, 0x3242cc00, 0x2cb38ebf,
+    0x3c143bdf, 0x5a7f8262, 0x94018459, 0x6d8e6aaa, 0x6df4a493, 0x61975e01, 0x2f41b88c, 0xb55163b2,
+    0x1f674f20, 0x5ac283f0, 0x892e2906, 0xd1c9804c, 0x2e4cd45d, 0xa6d65dee, 0xe809cc33, 0xd3e19204,
+    0x2333ea58, 0xab2cdf6c, 0x03606719, 0x7a5552b6, 0xa4084891, 0xa4ca009a, 0x6f848391, 0xcc73539e,
+    0xa7996bbb, 0x9b6291ff, 0xde5be60e, 0x330dfe8a, 0xcf599549, 0x9bc7adc4, 0x92bdaebf, 0x92d499a9,
+    0x00000000,
+    0xab300e9c, 0xb7fa9a35, 0x29ebca11, 0x549c52f4, 0xc5c1db41, 0x21622ae0, 0x62f99af0, 0x7f7d187a,
+    0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000030485825686679611634585910447198889704576153736962608895108954683\
+                          84152088691177363398736428772941378085768487423248655171335913749304966119424 */
+  { 0x00000000,
+    0x1d46767a, 0x1b0645a2, 0x71108177, 0x07c547f0, 0xd44209d4, 0xbe045b63, 0xf1c0a2ab, 0xb4c09bc0,
+    0xe011d4c1, 0x4d29607e, 0x85953768, 0xeca11de7, 0x4f4237cb, 0x382ea8df, 0x1978638e, 0xaeacc882,
+    0x5575abb5, 0x1e6444e0, 0x6dea35bd, 0x4ed8d8af, 0x486f13cb, 0x1e9bc4ab, 0xd4b2b313, 0x221f3171,
+    0x1eee77b7, 0xffc706f7, 0x81e0d23c, 0xd69b9ad3, 0x094628eb, 0x69e1dabf, 0xa180f5ec, 0x3733f7c9,
+    0x99fed4be, 0xbdb8c4c0, 0xae5b5004, 0x9cfd33b3, 0x2a9ee3ec, 0xbafd04f3, 0xcb344749, 0x63408919,
+    0x23d85383, 0x33d36133, 0x5e6f5c2f, 0x0614adef, 0xefb028e5, 0x79ba4308, 0xbd10d695, 0xaf9cea7d,
+    0x6d0d1db5, 0xd8065f29, 0x7cafe87b, 0xdde2e6fa, 0x288c39c3, 0xf2a54064, 0xd00ba990, 0xdd09446f,
+    0x0f9b5cf9, 0x3906a76e, 0x1237e17b, 0x906aebd8, 0xb7e21ef0, 0x2944a25b, 0x9a7a4da7, 0x2526d033,
+    0x4854bd7f, 0xa0a79548, 0x5db3b41e, 0x756eae8d, 0x9c320acd, 0xb45d47f9, 0x8f63c83b, 0xaa1ef6ce,
+    0x1a14649b, 0x65f14aed, 0xabc8fc83, 0x10c23cb8, 0x76544829, 0x50b86188, 0x4908ab8e, 0x7675ab26,
+    0xed2e8431, 0xd21fe4be, 0x49c6ebd6, 0x703cf12a, 0x58dc12b2, 0x4a4ffc6f, 0x449c938a, 0x6bc8269c,
+    0x4c933889, 0xf46cae0c, 0xd742a5fe, 0xcb70f4b4, 0xd0fb07d8, 0x4eb096e9, 0xcaab01fd, 0x69b65a66,
+    0xd9c8f921, 0xc2ee6752, 0xd2e2e4d6, 0xd3ceb1c0, 0x192ed8aa, 0xf5f7822b, 0xd49d4485, 0x6be4e887,
+    0x64bfb56f, 0x9b4a49bd, 0x7061aaa3, 0x25772295, 0xb75fbd54, 0x84767a68, 0xaf133b0f, 0x327fcf6c,
+    0xadbc0d91, 0xb61ae207, 0x69d90e1f, 0x95ab0bed, 0x301a1ac5, 0x66c7c3b8, 0xc9ae3dcd, 0x3d289b68,
+    0x51d4bdb7, 0xdd709d6a, 0x0d596de5, 0x787e3432, 0xba4fe60e, 0x916bccf9, 0xb2553bf4, 0xdfa7bf93,
+    0x9b5a5ca6, 0x4d8dc404, 0xfd12ed41, 0xb58a1a67, 0x9cfb4591, 0x32a487c0, 0x53991420, 0xac774c06,
+    0x1b1efc13, 0x6988885b, 0xd0a973bb, 0xf8261941, 0xa666ed89, 0x991dc12a, 0x7f3df77d, 0x29f1f14a,
+    0xa8e6fc05, 0x3275c2e6, 0x852d0805, 0x5276f46b, 0x604f71db, 0x2ae8e1f8, 0x1783f7e3, 0x33a69811,
+    0x1f166dc9, 0x08ceaca1, 0x86702732, 0xe6a9a561, 0x9aa4151f, 0x55afc306, 0xff3efaf1, 0xa8de6de6,
+    0x120597dd, 0xa2d4a0a4, 0xacb1b0c6, 0x23d9cd61, 0x40ab7895, 0x2613bc7b, 0xad189e42, 0xd977b70c,
+    0x4cb3aca1, 0x911d5f88, 0xcb01b133, 0x6c1cb26b, 0xe716a3d4, 0x1f53b32b, 0xb7eab347, 0x6bb853c0,
+    0xb92c91ed, 0xb2d801b4, 0x7ef42599, 0x0dfba25f, 0x408bef37, 0x11f445d5, 0xb1bfa582, 0xf360fa8e,
+    0x27df2de8, 0x6105af87, 0x88f96f78, 0xb8b148cd, 0xb5464c04, 0x78844c49, 0x3a673d42, 0x67c08e77,
+    0xf7050e61, 0x91d8ad31, 0x1b253e5f, 0x85bc3dd5, 0x9387c38f, 0xa2973ec3, 0x392c584c, 0x32b4f95d,
+    0x7078d225, 0xaa5bbc9e, 0x12a90bdb, 0x0e285640, 0xac0dd81a, 0xcdeeeef2, 0x91e81e4c, 0x7ed39114,
+    0x065735cc, 0xd99eaab9, 0x10b84b27, 0x3d062769, 0xf4153255, 0x410b5f56, 0x007f6bf2, 0xaecd88e2,
+    0xb5df2914, 0x52317fae, 0x06c4bfec, 0x3f06dd6d, 0x9665d8c6, 0xa601c96c, 0x561a8ecb, 0xc153f84b,
+    0x7951cc7f, 0x1b609538, 0x874cd614, 0x8ab6c009, 0xa45b1438, 0x7f74ff5f, 0x886b21a2, 0xfa9ccccd,
+    0xffadee61, 0xaa2492c4, 0x4c29b207, 0x9a073fa0, 0x4aad1974, 0xfd74a60f, 0x5230871a, 0x8ab09642,
+    0x82df359e, 0xeba2227c, 0x6fc7c23b, 0x96e77a1a, 0x516c1e3a, 0xfb0e6364, 0x78f98875, 0x489cda1a,
+    0x72b8049f, 0x6d5b337e, 0x92438aea, 0x9207b973, 0x3eba280d, 0xc88cc2dd, 0x3306e1ae, 0xca281549,
+    0xf964f4a0, 0xe58b04a0, 0x736e7e9a, 0x733c1307, 0xda7d7721, 0x2b97de20, 0x18a1eb42, 0xf6f5b18b,
+    0xd3a45f1c, 0xfd798068, 0x4da0bd07, 0xcef39002, 0x5b8fca48, 0x76d12bbb, 0x86300b0b, 0xefc17078,
+    0x2927664b, 0x2698d2bf, 0xfcce24fd, 0x4fbea355, 0x11783404, 0x8abf0b94, 0x93eacb33, 0x72d93b1c,
+    0x0a57b79e, 0xcc8ec8a0, 0x3b22090d, 0x28aa2628, 0x5f61e699, 0xc03a4b8b, 0x8fbf7275, 0x595fcc76,
+    0xdc3f8d6d, 0x9d0d8946, 0x0c5c5720, 0x1dd43540, 0xe7fed786, 0x40f7cb15, 0x4bf9a74b, 0xdcac0d99,
+    0x9031f615, 0x0b59c8f7, 0x479fa460, 0x55bf89cb, 0x9c1cb16e, 0x729a4bb4, 0xb979695a, 0xc99cc06b,
+    0x3e86d346, 0x95862ea6, 0x60778ba1, 0xd87e55c6, 0xa0c8515a, 0xbe940155, 0xc2a3aad9, 0x85d5401b,
+    0x1f89d0da, 0x8a54266d, 0xb816e09a, 0x7fd5be9c, 0x5fe1afa7, 0xe6ead16f, 0xd5571d71, 0x344592d5,
+    0x0f8f5bf8, 0xedc9001b, 0xf412c4ec, 0xd9dea9fa, 0x3d0edef1, 0xff69475e, 0xc62c19f0, 0xe67f850b,
+    0xd70c75bc, 0x8373307c, 0xd9b4a407, 0xca33f7f5, 0xe27fb4d9, 0xb48d72c6, 0xd4e18166, 0x4566b94d,
+    0x7f1f4851, 0x602b60d2, 0x21b92e1e, 0xb20f1ced, 0x30993671, 0x531f05ef, 0xf58489e7, 0x3b727025,
+    0x8650a975, 0x46bf36a8, 0x9bc67c1b, 0x9f20d68d, 0x002e1ad8, 0x68610622, 0x52a12b26, 0xe2c8e540,
+    0xd2c8cb3c, 0x80c196f7, 0x19da25f7, 0x13f00e5f, 0xfd8f0afe, 0xa62b7074, 0x33c55193, 0xcdbb8d4c,
+    0xf12830cf, 0xd431fb87, 0x18182293, 0x592a495e, 0xf9cc1c8d, 0xcfed8ca3, 0xc78f420f, 0x0c9b64a9,
+    0x912d48be, 0xea8d2977, 0x8323dc15, 0xb9a9d263, 0x32bde3f0, 0xf9f016ab, 0x8fe080f5, 0xf2e1ddb6,
+    0xc777233f, 0xf9051e41, 0xb13d1466, 0xc819c096, 0xf59b8194, 0xd5bab21e, 0x893e7016, 0xf346ce52,
+    0xd4c1938f, 0xd61c2776, 0xe75ec66b, 0x4ba7eeca, 0x9fd9a832, 0x3325f37f, 0x6c2c6bb0, 0x2b2f67a1,
+    0x8458f2ce, 0x37cd52e7, 0x5326c536, 0xc82ce391, 0x2eb831ab, 0x2d639f73, 0xf272fae6, 0x6f6639b4,
+    0x7ebb17b9, 0xf9ef3c24, 0xb2d8be32, 0x27d2a73c, 0xf1d27e80, 0x83a84801, 0x3f6ce6cc, 0xe82a655f,
+    0xfae6238b, 0xe4146bf3, 0x90a90a65, 0x82e2625f, 0xe11e7082, 0x819d0868, 0x78dfbec7, 0x2eee8048,
+    0x54a46778, 0xef145f39, 0x38ba9bb0, 0xf175694d, 0x5accfd25, 0xd1ed56e8, 0x52a22144, 0x8eb40e64,
+    0x0a9af6ef, 0x583e4047, 0x5d768600, 0xd27b132e, 0xc2c4dd15, 0x325d88fc, 0x2fcebb2e, 0x242074f9,
+    0xb472bc2c, 0x1e58cf72, 0xb0b33b0b, 0x5015fdf8, 0x8a2165dc, 0x3ed2234d, 0x48f83779, 0x91099c3d,
+    0xc4bac66e, 0x293791a1, 0x22f8ba2e, 0xb7bfaea3, 0xdd27c0d7, 0x10055402, 0x326261bc, 0x2217e125,
+    0xf2d6c305, 0x2f905af4, 0x19948996, 0x89e81a75, 0x8bdf73d1, 0x1083dab6, 0x40468054, 0x70289bd0,
+    0x1ae74bae, 0x47bc9ef8, 0x9d3ada34, 0xd18537cd, 0xbcc681b8, 0x2c2887ff, 0x126c992a, 0x877c971e,
+    0x96ec25cb, 0x7bae711a, 0x954ae7ea, 0x8049a7b8, 0x5d6c4365, 0xcaa3b938, 0xfd3c9352, 0x28bbba90,
+    0x798a06e0, 0xde30b5b4, 0x0c32ec94, 0x91140fe3, 0x1732b76c, 0x540f6a78, 0x62e6fa74, 0x812ea811,
+    0xb1c8595c, 0x8922944b, 0xb150e6f5, 0x3a506e99, 0x7c66ff54, 0x28a176a9, 0x5fbbd88c, 0xa66a0cf8,
+    0x756fff15, 0x910ea0ff, 0x745e5a78, 0xe7645cff, 0xf3c4984d, 0x0e2d586e, 0x491e6cd3, 0xccff6dfd,
+    0xbb7f6001, 0x6c564f5a, 0x77dda260, 0xf0643e31, 0x8a8f117e, 0x77face6f, 0x3f2bef08, 0xfa003f77,
+    0xef34f0f7, 0xf2a852dd, 0x7a470d79, 0xb2888f59, 0x2b4929ca, 0x45fb9d57, 0xe06affc1, 0xcb6378b9,
+    0x55ebd809, 0x196f98b7, 0x18a8e316, 0xedf16c60, 0xb970b3e1, 0x9679f530, 0x8178e4c0, 0xcd905540,
+    0x5f8be74d, 0x1107746d, 0x8b915c2b, 0x147e4768, 0x562f5be5, 0xa374f9c2, 0xf0fb6007, 0x918fff23,
+    0x32d852a3, 0xeca4c335, 0x09c436bf, 0xe2e53302, 0x3ba1b9ba, 0xe6242f38, 0x3603f4f8, 0xcdd7c52d,
+    0xa3d45957, 0x70a01554, 0x2375eeb2, 0x4d50c549, 0x347e767a, 0xea7cbb67, 0x9b109653, 0x0d342a28,
+    0xaba658e4, 0x551320cf, 0xdd928e95, 0xbc65263d, 0x25f1fdbc, 0x90f6baa5, 0x894a7b08, 0x00b5518e,
+    0xb26e7ca2, 0x7d668df6, 0x14843183, 0x388195e0, 0xdd9222d9, 0xae121d62, 0xf7483f1d, 0xb575b99a,
+    0x25fcdf62, 0xb5ee399b, 0xfaac2104, 0x2241466c, 0xb188d894, 0x5155ef8b, 0xdd408e39, 0x8dfc4cc9,
+    0xace5bc51, 0xca8cd3dc, 0xb3f17673, 0x8d994f69, 0x0ba777f8, 0x45c34077, 0x4baf2c51, 0xa6baaacd,
+    0xaca38503, 0x7d0471e7, 0x9c94b807, 0xfdf586e3, 0x4e51906b, 0x9ed2e42b, 0x15bdc841, 0x043bf682,
+    0x47b671af, 0x88eedba6, 0x7ffc40f2, 0x5d707c07, 0x2ea248f5, 0x3f7dd912, 0xd3f7e186, 0x44d2e952,
+    0x65f244f3, 0x5dbe2c53, 0xe9cbb2c9, 0x64fea6b3, 0x61e07eb1, 0x15dd6d9a, 0xbc35878b, 0xebbd32fb,
+    0xbbde7cd3, 0x34e5693e, 0x86c5525a, 0xfad8925e, 0x7b177872, 0x9cc2905a, 0x8e77e600, 0x7cd240fd,
+    0x21c47191, 0x98ac1707, 0x27317827, 0x99a1ba0b, 0xdaf6dbe2, 0xc7fb0eb1, 0x767780a2, 0x5f8de73d,
+    0x66bb3076, 0x791698ef, 0x9566e9fd, 0xad05259d, 0xa57d7fd0, 0x5d25c926, 0x07b110ef, 0xa953bb24,
+    0x9e56a48f, 0xb5889649, 0x987474a4, 0xdba6d271, 0x47ae755c, 0x55c21bfc, 0x01dcdc5d, 0x28b49486,
+    0xff70a70b, 0x95b5e214, 0x659aa624, 0xff2363d3, 0x142dba61, 0x84591a77, 0x6e5194cc, 0xdeb69923,
+    0x4eaf93e0, 0xddb87151, 0x5126083e, 0x1b1325b1, 0xb2790d0f, 0x0251feb1, 0x4c6c2571, 0x2282ee87,
+    0xa8eb6147, 0xfcd515f2, 0x45fb65e0, 0x2cf22c6f, 0x097926f9, 0x3f449103, 0xcc5b1823, 0x30d6c8a9,
+    0x2fdf3172, 0xcb1eec2b, 0x87ae432e, 0x22252a2d, 0x6b60e4e7, 0x7579ba38, 0x02bc55cc, 0x9d90ed77,
+    0x50b2f761, 0xe00d10fc, 0x549eb1f1, 0x6b74f23d, 0x62196e8f, 0x5dedb2ec, 0xa40a83d6, 0xe141ab6a,
+    0x61098288, 0x785c9a01, 0xb40a908a, 0x70c98060, 0x47ee2bc1, 0xfb89f025, 0x3e93e8d2, 0x72c484d3,
+    0x046f1faa, 0x16e7c186, 0x22c26b93, 0x2ee8ac4c, 0xeb7795fe, 0xb0ca0ddc, 0x296cc6b4, 0x162d6e0d,
+    0xbb7267c6, 0x559ad9f4, 0xc6060e33, 0x9d6a0726, 0x4ed8e908, 0x7672bba1, 0xfbfe7f48, 0x434e20a5,
+    0x598448ab, 0xa9b75f4d, 0x24c1bddb, 0x1f654214, 0x85498dbe, 0xdf15da07, 0xdb3d14cd, 0x6aaf5359,
+    0x751a2b79, 0x0b1c3446, 0xba1cd12b, 0x856f9d96, 0x19410be4, 0xbb31cd9a, 0xdaff9b98, 0x36bc90a0,
+    0xa7ea2c60, 0x7c7abd4d, 0x66749126, 0xabb1093a, 0x8274ed29, 0x08f291c5, 0x94f80270, 0xcbd2e0ef,
+    0xd879437a, 0x97c65db8, 0xd6e977e8, 0x5256f38a, 0xe8a3e7ca, 0x2ea6e7b8, 0xc1e3a3ad, 0xdf06d504,
+    0xf3eca8ce, 0xf0701014, 0xd27b10b9, 0x1c1ceeea, 0x57cf27d5, 0x9bc87dd0, 0xfc73b283, 0xe9f661ed,
+    0x626afd2c, 0xed5e6182, 0x1a888f6e, 0x43993576, 0xab773417, 0x54e0c39e, 0xaf42fdc7, 0x04644348,
+    0xe186f4d7, 0x1f60d673, 0x258633a0, 0x98545eae, 0xe400fae5, 0x71595564, 0xe5a3daf0, 0x9ea37a99,
+    0x234bf894, 0x9aaa71a7, 0x851644c2, 0x1c94313c, 0x7411de73, 0x47d761d2, 0x57952ea9, 0xdd8a5537,
+    0x40ce71bc, 0xa7257109, 0x29244e1f, 0x79a79e7b, 0xe8b26e68, 0x015521c6, 0x1769bfec, 0x83a0be15,
+    0x13f8bf38, 0x90bba8e0, 0x2c5b3e1c, 0xdecff96a, 0x854005e3, 0xe7bca688, 0x52404950, 0x1577fe82,
+    0x4aa32860, 0x3f9ddcfb, 0xb2722466, 0x4a588aae, 0xdf1bd9fd, 0x9050095d, 0x666088af, 0x11c83853,
+    0x0cd8c11f, 0x89e0de5f, 0x6f931b87, 0x44e1f505, 0x033f42ff, 0x315675cc, 0x82be15f5, 0x93a36fb7,
+    0x877acdb2, 0x9b68970a, 0xfdd3806e, 0xcfb7fb35, 0x22d4743c, 0x97509f5b, 0xaea82827, 0x355a8240,
+    0xcec5ee84, 0xba9b73e4, 0x1a9d6447, 0x55d44662, 0x67d5d396, 0xef788468, 0x6b8576b7, 0x8a6d7c9f,
+    0x7b41ca83, 0x667dcb38, 0xd517532f, 0xfce4acaa, 0x7d7ae0cb, 0x52b46b14, 0x9a4a8ed3, 0x95272c3c,
+    0xdcbf2506, 0x686e26d7, 0x31f159cf, 0xf60e773f, 0x841ff9c7, 0x4ab8f8e1, 0xc43fa385, 0x4fffc17d,
+    0xfe8d52cb, 0x2e1d77d6, 0x887d5296, 0x548e885a, 0xaf444549, 0x675835b5, 0x735dd152, 0x015728cf,
+    0xe9a58eeb, 0xdee2a691, 0x720f98f2, 0xf8824b2b, 0x0480776c, 0x71edd8cf, 0xd301d77e, 0xec385613,
+    0xad236cef, 0xe515d748, 0x87c04a69, 0x26821ea7, 0x1b83d661, 0xebfa62a2, 0x953b657e, 0xa47b059f,
+    0x9c6dfd6f, 0x6df17e2f, 0x8a738a2b, 0x17e5683f, 0x7b9c09ed, 0x38cecdec, 0xa7d5bde2, 0x0817109e,
+    0x63d5624f, 0x96c6fcbc, 0x1b2fa9df, 0x46a44f14, 0xb52356f6, 0x2c77fafe, 0xcab182c1, 0xab44683e,
+    0x857e9f70, 0x961847be, 0xbb4fef99, 0x60791233, 0xc25c072c, 0xd952309d, 0x1450487e, 0x55ddd6db,
+    0x0a45ea71, 0xb0b45be7, 0x185b9b2c, 0xac1693b5, 0x944be473, 0x7e37e008, 0x3d561b2e, 0x2a905175,
+    0x82fc65ef, 0x4ab5317e, 0x6ba6c644, 0x52718e31, 0x5c157f89, 0x62d44b1d, 0xcb598b2d, 0x678232d2,
+    0xec02b165, 0x26914aca, 0x7d6143b9, 0x287c2de0, 0xac588dc4, 0xd6e3ad80, 0xfd4999b3, 0x8635bcc8,
+    0x97d69ac1, 0x61a511a1, 0xf0b6634e, 0x677f8215, 0x07a8f6bf, 0x659afd81, 0x4bc31503, 0x4ac65337,
+    0x6f97b31f, 0x2d3fb2f2, 0x6982a239, 0x080b53de, 0xf768db27, 0x4f520d3a, 0x8528fd39, 0x99893185,
+    0x9c361693, 0x49266e49, 0x5aff8914, 0x6c68b432, 0x3e430bfd, 0xc5b62a3d, 0x71942e69, 0xd8e94fa7,
+    0x83746ece, 0x7bd422fe, 0x90f3d21d, 0xff3540b5, 0x14fb276a, 0xf44c2f1d, 0xeb7e7895, 0xea669f7b,
+    0x1c7d1d1f, 0xc94e08ab, 0x44371f1a, 0xfaa265ce, 0x44042526, 0x1cdfb8c4, 0x52b427fe, 0x38a85185,
+    0x289b57ba, 0x8f8300a9, 0x262ae76c, 0x7aa8dc22, 0x8239109d, 0xbfd4ffa0, 0x239ef827, 0xe270f5cf,
+    0xcfb0e362, 0x302964a3, 0x4b327866, 0x5a02c39c, 0x1b956ce7, 0xb01103fe, 0x7350983b, 0x647155ca,
+    0xa5e413e9, 0x407430e2, 0xafa49c16, 0xc9c71581, 0x4f664751, 0xd74d2ff0, 0xb887733e, 0x89298de9,
+    0x8b8ab789, 0x3b3d72b5, 0x6ef15b12, 0xda9431fd, 0xc3598157, 0x6a58e555, 0xf986e504, 0xefaef3e5,
+    0x84065c30, 0x7492aa8f, 0x0d95e89e, 0xb71d7013, 0xb05a0221, 0x859d1107, 0x82ef4757, 0x6f5662b9,
+    0x166179e9, 0xd51ecb8d, 0x3e525457, 0xffc64256, 0x35d9ed76, 0xfa313563, 0x77b46d68, 0x07b691d9,
+    0x3be93dda, 0x33bf3acc, 0x7bc6fc67, 0x5d675802, 0xd6130c40, 0xd3f93bd5, 0xac46b7a1, 0x69418185,
+    0xc6503ad1, 0xfb01fe7a, 0xd150364b, 0x02d8f848, 0x85a40469, 0xb1eafda7, 0x198d2160, 0x85ad3f9c,
+    0x0003c20b, 0xc5146079, 0xee9dbc4d, 0xb174c9b8, 0xdba614b3, 0x1b8ba594, 0x14f16a8b, 0xc1e0b751,
+    0x00000000,
+    0xd598074d, 0xdbfd4d1a, 0x14f5e508, 0xaa4e297a, 0x62e0eda0, 0x10b11570, 0x317ccd78, 0xbfbe8c3d,
+    0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000015242912843339805817292955223599444852288076868481304447554477341\
+                          92076044345588681699368214386470689042884243711624327585667956874652483059712 */
+  { 0x00000000,
+    0xb5f6a7f6, 0x52c930c6, 0x584b7669, 0x0aeb8fc8, 0xd7f22b1e, 0x9c1da9f0, 0x302d2204, 0x35715c67,
+    0x6dfa5a31, 0xc5581f7b, 0x99451124, 0xf65a103d, 0x1fa86a35, 0x0692bea8, 0x7e9ef0b7, 0x1e0ff0a8,
+    0xa95f878d, 0x1f921e17, 0x00815a14, 0xf1b90689, 0xa12655e1, 0xa66c7896, 0xe3177dbc, 0x69329dee,
+    0x21a2482a, 0x864dd192, 0x00169093, 0xd68b1863, 0x0e84b8bd, 0x958c9de0, 0xbfd84b3d, 0x8c143fc1,
+    0xac2e5f72, 0x7c5ec859, 0xb1572d5f, 0x3644816d, 0x6febbd92, 0x47ed7005, 0x3d034731, 0x7608cd22,
+    0x42a066fe, 0x202bd7b1, 0xf28b0c48, 0xf967cef3, 0x3e1e91c9, 0xf39f5ab8, 0x711afd17, 0x6d529097,
+    0x07b2de5b, 0x67e71baf, 0xaf28042b, 0xc2a646e0, 0xda2562f1, 0x00757011, 0xcf26e6e2, 0xd5282948,
+    0x8b006fc5, 0x1ac18066, 0xb2af94ef, 0xd0a45a6b, 0x4f61dab4, 0x78b6276d, 0xf6ed5e05, 0xbe927e5c,
+    0x314b24c1, 0xad762110, 0xd5eed8ae, 0x359a72d4, 0x10d49c33, 0x3b6f9c1e, 0xee346a88, 0xbaf8c226,
+    0xc78c7163, 0x74568d33, 0x4a614874, 0x14ede758, 0xc9aea0b1, 0xd68f583c, 0xef018711, 0x82c18516,
+    0xfc7a2cbf, 0xffb8bc8c, 0xc86ea5e5, 0x5d8f0b20, 0xfe5b8706, 0x1c3b44bf, 0x22101fb3, 0x055afea3,
+    0xa4ed3578, 0x95b26472, 0xba798089, 0x3515e961, 0x88b93f54, 0x04b0f31b, 0x84ca33cd, 0xa7adbea4,
+    0x9d89729f, 0x6bdb0503, 0xcff02c7c, 0x2172ba99, 0x7b8ad349, 0xc81fb18b, 0x26d3472b, 0xbd8603e3,
+    0x1494a15b, 0x3ee20ff3, 0x8f43f819, 0x793f2ca8, 0xb39adb1c, 0xb680d1d5, 0x61f7dca2, 0xd7961eba,
+    0x0830648a, 0x95be4316, 0x7d923a3c, 0x6edee197, 0xda3b9956, 0x1cb6c30b, 0x8f576252, 0xf9be040e,
+    0x6768cb39, 0x7fd97a7f, 0x86a34533, 0x66f1aab0, 0x692162c0, 0xc3092cfc, 0x6eabdf94, 0x0dd661c6,
+    0x56745238, 0xc55d9165, 0x267174ad, 0x2aba2235, 0xeda4dcdc, 0x2e1573b4, 0x244e6529, 0x53fa8028,
+    0x819f53b4, 0x0beb6010, 0x5ffb6c1c, 0xc5c277ef, 0x08d2dfe5, 0x40e350f9, 0xfa771a78, 0x3d64dd68,
+    0xc13ee3b7, 0x6182ae33, 0x69b04364, 0x09e00204, 0x74bf49f8, 0x913e25b8, 0x5b009b7b, 0x4d280f28,
+    0x7d41ecb2, 0x575e3f38, 0x7f5f5ab3, 0x336d7fa7, 0x3a70ce57, 0x26162079, 0x70202a76, 0xd31a955b,
+    0x9afc2ffa, 0xbb686dfa, 0xcd6b6011, 0x1a0c9101, 0x6916de80, 0x1efd2ec4, 0x3720f600, 0xc2e00fbc,
+    0xd6d2d3b1, 0x5de24b66, 0x91183682, 0xaa5860dc, 0xc01b2acf, 0xfc1d26fa, 0xc8dd767f, 0x5ac598cf,
+    0x29b308cd, 0x311ac13e, 0x37b472f4, 0x18dae712, 0x66dea1cc, 0x653dc34e, 0x5faf2ad0, 0x7101a723,
+    0xb3bb79be, 0x606c76f8, 0x76bd868b, 0xa3bd5115, 0x1c4d153b, 0x8d02f0fb, 0xd63a77c1, 0xb499a002,
+    0x9972284e, 0xeed486f8, 0x501f981f, 0x3a78a631, 0x90b8ea11, 0xcdb4d883, 0x9e5cee55, 0xe9d80943,
+    0x357b8912, 0xaf206f45, 0x93920a8f, 0xdc598263, 0x216d2e53, 0xe94f8121, 0x9eebb542, 0x55eadd09,
+    0xc45dd1ae, 0x30596f50, 0xbe6bc7e5, 0x2442ff52, 0x50401ce7, 0x77bef525, 0x9f6075e2, 0x7259b985,
+    0xf41cea4e, 0x50ce060c, 0x2b828bd3, 0xddc4f0bc, 0xcec8bf8e, 0x7dd5ea22, 0xfb81b214, 0x32d4bedb,
+    0x95ea87fc, 0x4b159f85, 0x6cbcec99, 0xa0211697, 0xdcd4c5e6, 0x529cd1af, 0x2c8a79f3, 0x24f3553d,
+    0xd89be43e, 0xca015b24, 0xe4216835, 0x81dc0f41, 0xfed0781b, 0xb92931c3, 0xa48d2f69, 0xcb44b528,
+    0x1e7ddfad, 0x9eaa9b10, 0xc321cb6f, 0x5816b98c, 0x588cf8ab, 0x914940f4, 0xe00f34f8, 0x9e2df205,
+    0x890306d0, 0x22177b7d, 0x3a55fc67, 0xbeaace4a, 0x0ce6b4c5, 0x4641c727, 0x4fc3b3bf, 0xa24a582b,
+    0x47144826, 0x0730c3fb, 0x114890b8, 0xd22fd950, 0xcec788ed, 0xc56d4951, 0x179e7472, 0x684b5610,
+    0x6bd39d58, 0xcae176dd, 0x87d58636, 0xb6a75537, 0xe655726a, 0x0653a5aa, 0x5c8453c5, 0xa8831a20,
+    0xafb2f009, 0xef2e3fbb, 0xf263a25d, 0x1ca4ee27, 0x9bfdd5c5, 0xc017c103, 0xcf813111, 0xab084b80,
+    0xdb2e51a3, 0x4c3f3539, 0x793bb4e5, 0x5cb3dad2, 0x621831af, 0x4ea59bea, 0xab8819c2, 0xb4feef5e,
+    0x6f2b12d1, 0x3bba7b89, 0x48bc4e60, 0x167315aa, 0x2eec9638, 0x4fcf3567, 0x19be49f0, 0xe3ed8adb,
+    0x9e92f6c3, 0x4cfa455c, 0xe1da3841, 0x23a2542c, 0x8932437b, 0x5a636018, 0xf287dd7b, 0x6683c771,
+    0xb4a5f1b2, 0x0d1a1eae, 0x8f7e599a, 0x84343bcb, 0x3dfc5ac3, 0xed510096, 0xe6f484e9, 0x2e008463,
+    0xd377763f, 0xb2d9714c, 0xd6b61bd2, 0xdc434091, 0x1c438bb8, 0xf69983de, 0xa6cf4934, 0x9c748092,
+    0xb69cd29f, 0x7e108f8d, 0x3c3c3f31, 0xd5b5b674, 0xfdc0c991, 0x168430ec, 0x5dcaad4d, 0x31da86b1,
+    0x7c275e9b, 0xb60844a1, 0x5c29edf8, 0x53e07108, 0x8f5b8ed9, 0x800252ea, 0xc81f67e4, 0x236efbf0,
+    0x81bfe343, 0x4900a1aa, 0x4aea4222, 0x6f91b0ea, 0xf9581565, 0xbc523e26, 0x43d6a603, 0x6a5cef40,
+    0x757211f8, 0x07ec4f95, 0x9955a481, 0xc99a57f3, 0xfabc8e8f, 0x37d71d56, 0x345b5b70, 0x49851768,
+    0xe1fe630e, 0x2bb6a53b, 0x5fe4d740, 0xc7ef2d5f, 0x333d1df5, 0x4b13e9f5, 0x43321b05, 0x8f866882,
+    0x4f3f1f0e, 0x56565175, 0x657d818b, 0xeb74bc44, 0xf4f3a348, 0x53507424, 0xb554511b, 0x9ebe814d,
+    0x62a75e0f, 0x94f0ece6, 0xf9782f7f, 0x8f1b3fc3, 0x14300009, 0x97dbffb6, 0xc2b97f12, 0xe34cef61,
+    0x880dacc2, 0x012fdd95, 0xc1387abd, 0xfb6e2495, 0x5e9075e3, 0x87983741, 0xaecb5d5a, 0x4ff1b1e1,
+    0xb7aa8ef6, 0xcde873ba, 0x86c51346, 0xf584ed6b, 0x304d11d3, 0x6b1f92ee, 0xaff6f72f, 0xb8a39dec,
+    0x2c0a1503, 0x2debd690, 0x93072745, 0x26bca26a, 0xc0eb8284, 0x4d1602f2, 0x844ba7a0, 0x6896ba45,
+    0x04d52ea2, 0x82b55c1c, 0x662497aa, 0x675ccc83, 0x76cbb267, 0x3c1d1241, 0x0e08d18d, 0xbef0e82d,
+    0x52c5a8b9, 0x6086841f, 0xa306189a, 0x514f4016, 0x9b457f21, 0xa50b0c46, 0x3370f50b, 0x98c8f959,
+    0x6702a7fe, 0xd60cd288, 0x705515d9, 0xcf84811f, 0xf379b507, 0xc70dca0b, 0xff199080, 0x94e103d3,
+    0x15ace49d, 0xc0c3cd2a, 0x70b6fb92, 0xabd4968d, 0x17402300, 0x71b2d854, 0xb1d51b93, 0x6e7898f3,
+    0x45f97560, 0xed163574, 0x87cb7def, 0x67698f2f, 0x634b949c, 0xf19a9c79, 0xe39867d6, 0xaa2d3a46,
+    0xe9729695, 0xb4df8f3c, 0xb9d7896b, 0xe060180f, 0x4643f2f7, 0xd7ad334f, 0xfd58c08d, 0x4cf910b2,
+    0x178ec2f5, 0x6b69d1f6, 0x80c550e6, 0xa74e6b8c, 0x3365de4f, 0xfa1052a5, 0x7a8bd5a4, 0x701bb3fc,
+    0xa46c8a59, 0x4b93dc11, 0x52a41a2d, 0xd46060e0, 0xcd09a4ef, 0x4494cbab, 0xc47ab80e, 0x19aaf72d,
+    0x59093b60, 0x97e38bfd, 0x1054382e, 0x26f350cd, 0x5e5b4771, 0x9003d0e9, 0x8eaca81b, 0xdd19badd,
+    0x0e7634d1, 0xd358c029, 0x0e257861, 0x516cf145, 0xf6f2eeb2, 0x3be7cf71, 0xeac69246, 0x8d856f57,
+    0x07b1cb76, 0x71d47676, 0x80516029, 0x486e02af, 0x9536039b, 0xf04d9551, 0x3dc59ead, 0xf8255dd5,
+    0x06a98b98, 0x718fb63d, 0x1d1540d8, 0xced5b9a4, 0xe886c710, 0xc7e60725, 0x47f48d08, 0x086a001a,
+    0x21446e31, 0xb63f009d, 0xd3744a6a, 0xa34e80f0, 0x9b16818a, 0xe005b644, 0xac612077, 0x8ddb3a7c,
+    0xfd9f1b89, 0xc7aac30d, 0x0322150d, 0x1b12c1ce, 0xfc074bc6, 0x09b0eb80, 0xd22f1691, 0xaa48f7de,
+    0x00013812, 0xfe876c21, 0xfa318539, 0xc76e4596, 0x3f4c1cac, 0xb692c432, 0xd68b9a90, 0xa971581d,
+    0xd074e300, 0x9a67ec34, 0xf02d62b4, 0xfc13fb13, 0xbcd7df43, 0x74d1d023, 0xf8b81595, 0xebde1ad5,
+    0x317fadf1, 0x0449e1f7, 0x872ebcf1, 0x3e766e2d, 0xd17cb2a4, 0x4757cbe5, 0x54112e6b, 0xbada2537,
+    0xcafdcc7f, 0xcddc7541, 0xd53a9a87, 0x0a2adf98, 0x2f93d7f5, 0x368cfc8b, 0xa97985b7, 0x5eb59aed,
+    0x964dc53c, 0xf1f2ab69, 0x3dbba334, 0x427081eb, 0x3aa91054, 0x7f621f4c, 0x88ae92b2, 0x4f5c13b1,
+    0x2e386e67, 0x56db2db0, 0x8f875943, 0x142060a7, 0x3bbad656, 0xe6b59c71, 0xd1de488e, 0x74752a0c,
+    0xec4adcf4, 0x89aeb8ae, 0x39f2153a, 0xc933cb75, 0x24578995, 0x7aaec965, 0xd143d33c, 0x8e290a5c,
+    0x52fa8fdd, 0x4cef62f4, 0x36d8e532, 0xe09878eb, 0x5de7a8c1, 0xcc20f69c, 0x0c6404c8, 0x11733203,
+    0xa77778f5, 0xb10d5d8d, 0x9ac0c6e5, 0x241e4b11, 0x82cc4607, 0x02be9dde, 0x2510fd0e, 0xc570e02b,
+    0x8b2c4a75, 0x844e49b4, 0x662b2fe7, 0xdcef295e, 0x49d4d0fc, 0x49c2de95, 0xd3568d67, 0x64649645,
+    0xe4411ecd, 0x032afd9a, 0x934289e6, 0xd5336a8e, 0x9010438d, 0x44a618b5, 0x0f70364e, 0xec732ce6,
+    0x9b6d39c7, 0xa5c19bcc, 0xda0d28e2, 0xe507e2d8, 0xf3646cca, 0x8eb241bb, 0xa9dbd595, 0x34baa126,
+    0x8ffc84dc, 0xcfea3d11, 0x8c629895, 0xe78c69f3, 0x6aac6717, 0x8ffeee4e, 0xf41e4ce6, 0x6bb89f77,
+    0xaf68c764, 0xd8c91e9f, 0x6a8ce399, 0x5eb91ed6, 0xa11c9ba0, 0x03bb1ad3, 0x6e1f12d2, 0xbb3794c1,
+    0xe5fb09da, 0xfcb809ed, 0x7a533bb9, 0x1e454b3e, 0xa1dae88f, 0x2dc62378, 0xd78d7502, 0x3f8fa49f,
+    0x920bc7d2, 0xf0c5be3b, 0x6190bbc8, 0xa0e2b2bc, 0x418b20b5, 0xd5e655fb, 0x3b5bf673, 0x8a8b299c,
+    0x4d5887c0, 0x028568fc, 0xf487641d, 0x0c0ed281, 0xe84ece4f, 0xce3213b8, 0x5742088f, 0x4ebb355f,
+    0x74163a39, 0xfe7f3dce, 0x77c4c89b, 0xdd8d2fbc, 0x0bd71bcb, 0xdad3b402, 0x6659eece, 0xdee5ecf3,
+    0xc350a48f, 0x44087c47, 0x58f2d2de, 0x0546182b, 0x42c69884, 0x404bd23a, 0x887bb6ab, 0x7e70f6d2,
+    0x966ae38c, 0x0cca5c0a, 0x3c35520c, 0xdbb62192, 0x090d886c, 0x1bb45ec9, 0xbe0ae6c2, 0xf51a690e,
+    0x99f7b91e, 0x3442f563, 0xb3352f4b, 0x8d19d930, 0x56e06da1, 0x58ebc188, 0x1befd62c, 0xbbe775ed,
+    0xecea43d1, 0xbd0df105, 0xfa388c60, 0x502559c7, 0xdafede86, 0xc4877777, 0x750c4159, 0xcad64d1d,
+    0xb0b01fb4, 0x1dd2dd6d, 0x19a0d98f, 0x796d91af, 0x070dbc49, 0x8b48f913, 0x2cb9d990, 0xdf28d6fc,
+    0xc7da1dfd, 0x5dd900ad, 0x1f0ed4f7, 0xfb475a96, 0x00099216, 0xb123f730, 0x89b740c4, 0xde1b506b,
+    0x293b7c6a, 0xa2501a79, 0xa9939108, 0x581a8fc7, 0x9fc4f93b, 0x1c8ae2e3, 0x9f7638d0, 0xade029c1,
+    0x5e80e9f3, 0x422d569f, 0x7ae86a9d, 0xfc4c31d8, 0xe8251be7, 0x29835176, 0x34110c2b, 0x497c1f5b,
+    0xb745a17f, 0x14b5d6fa, 0x436bbf38, 0x337a71c6, 0x90ae47ad, 0x9eabf356, 0xdf818257, 0x746e43a0,
+    0x4563d90b, 0x1f3c5b80, 0xe2cc3f16, 0x7a15ff80, 0x71420a85, 0x8e6bb160, 0x773baef0, 0xb1314a34,
+    0xc455a430, 0xb726645b, 0x13ca386d, 0xeed7b13f, 0x3726d580, 0x3128f258, 0x9ea9dfc1, 0xbbbbd8fa,
+    0xed83584d, 0x8cdc812e, 0x7d4b70da, 0x72515c65, 0x4dd3ba61, 0x8a9913cc, 0x1e409835, 0x64f5159c,
+    0x8332a80d, 0xea16f15e, 0xd4945ee2, 0xd3dca908, 0x6c7c6bef, 0xd9e2a64f, 0xb0f64f08, 0xef466020,
+    0xc3c513e9, 0x7e61387e, 0x9bd4739a, 0xdd5ffea8, 0xfc7b7c11, 0x5969ecb1, 0xfa7eb784, 0x59019b9f,
+    0x646a5686, 0x5f3217e2, 0xe059340f, 0x75a74482, 0x2a626503, 0xf9c7ce12, 0xc619eb9b, 0x7f112617,
+    0xc60e4fc7, 0xdd0b494f, 0xb31cda32, 0xbecd431a, 0x07df435e, 0x7d93e7ac, 0xc44e9f33, 0x83600662,
+    0xbd1faa44, 0xf0bea56c, 0x7c83e2a2, 0x654012df, 0x4268d271, 0xacefc905, 0xcf78bc14, 0xbdac7f0d,
+    0x8f4e7fba, 0xa32c6f74, 0xeb5b26ab, 0x8295b8fe, 0x18ccb77d, 0x0586bc3b, 0x4c035658, 0x67886cae,
+    0x36c413dc, 0x1333c638, 0xbf89971f, 0x658cb533, 0x93c8ad2f, 0x8eb12b11, 0x45ae9c20, 0x52d796b7,
+    0x9bfa3a51, 0x4ad9f119, 0x8a5b12f7, 0x1a2e0ba1, 0x518296c3, 0xf2af27d7, 0xb4581e20, 0x8e720bb3,
+    0x39bbb232, 0xeff1a5a8, 0x8ff2e2a4, 0xd1ee364b, 0xf96e0a88, 0xcd8b9a1c, 0x3c4785fe, 0x9baf4bed,
+    0x60a88578, 0x8e8f1499, 0xb24189b2, 0x2b3e92cc, 0x72494c48, 0xb84b1f1a, 0xf02c90a5, 0x54bb5ff8,
+    0xce2cb05f, 0x52cb2382, 0xec4c8090, 0xe7cee22a, 0x26c98676, 0x5df1f569, 0x90c64422, 0xa723c231,
+    0x395de375, 0x0c591503, 0x24d3536c, 0xaaad397d, 0x926ee964, 0xca0c74ff, 0xbee06975, 0x41bdef8c,
+    0xe0a983c0, 0xb7a2c4c1, 0x1797282f, 0x10a796fc, 0x1882c81d, 0x653474fd, 0x9d8aaf32, 0xe39fd4ae,
+    0x2df65c76, 0xf51ddfcc, 0x529d75ad, 0x96842650, 0xfcea8325, 0xbec96ccb, 0xd930ce1b, 0x63076a38,
+    0x1763f6b8, 0xc8f693bc, 0x722afcbc, 0xabbfee89, 0x2e2cb73d, 0xa601d658, 0xd05db900, 0x36bf9324,
+    0x007913e5, 0x5df8f482, 0x135369c0, 0x91c287c4, 0x4e4ba48d, 0x1fc72984, 0x833c2646, 0xac85480e,
+    0x0ebd5ac9, 0xfa88b4a7, 0x9bef5b01, 0xf7b00fe2, 0xa66697f7, 0x74aaa994, 0xc270ad94, 0x6a5c2811,
+    0xedd2a7cb, 0x6c13a2ff, 0xd499d265, 0xf38ea2a6, 0xb57d42c1, 0xbc31a34e, 0xd1d17d5e, 0x7b750fd8,
+    0x4d61f967, 0x827481d0, 0x626c1f47, 0x4873b3f8, 0x9c09a697, 0xa63ac293, 0xd385ee5e, 0x0f065bb2,
+    0x5b3816e5, 0xcf1497ff, 0x009f4c19, 0xce43f9da, 0x8aae7a47, 0x717e6c33, 0x47985872, 0xce8457ea,
+    0xb512e65f, 0xc7d5584c, 0x0de3bb95, 0xf3d7f9f4, 0x417420fd, 0x2f1afce2, 0xd14bd05c, 0x81c20ddc,
+    0xfa5ef272, 0xa70d51c8, 0x8d056b49, 0xfcc2568c, 0x978edd42, 0xaca4aeb7, 0x658a82a8, 0x1470cf1c,
+    0xe0efe443, 0xdf710290, 0x7c1e3e2c, 0xcc736335, 0x417dce4a, 0x4eb4f827, 0xb152e1b8, 0x22f3ab57,
+    0x44c13011, 0xfa6ba6c5, 0xac150cf8, 0x90f2dfb0, 0x19aab8ba, 0x03ca0c94, 0x8da4e271, 0x79ab1873,
+    0x8b8d1b9d, 0x6f7faffb, 0xa91e136f, 0xf1e8d3d7, 0xe9e8a800, 0xf59d2591, 0xcb59c0f7, 0x82693f43,
+    0x23d66363, 0x65c55ec6, 0xa7ba1547, 0x71d17a32, 0x232a9f58, 0x17960809, 0x5373cd34, 0x795293a3,
+    0xf5cf4bf0, 0x36befeb0, 0x9b9a47af, 0xa846f6c7, 0xc844acd9, 0x243233d3, 0x8fcfdc19, 0x948ff097,
+    0x8cfde3cc, 0x2ae19e1c, 0x43b736dd, 0x8a21522a, 0xc8023498, 0x4c60396f, 0x52a37cdb, 0x84333ff2,
+    0x1ca811a3, 0xd621d62e, 0xaeaf217e, 0x18541dab, 0xe9ab7db8, 0x9655dd68, 0x03788dd2, 0x5509f2b3,
+    0x6562c2e9, 0x7380b704, 0x6603c9dc, 0xf8a5dcee, 0xbed20722, 0x43c8ad03, 0x5559d277, 0x1d76cfc0,
+    0xe40ef36f, 0x1515d813, 0xc1104d97, 0xd1c7fee4, 0x6207a38e, 0xe9dee507, 0x2816c02a, 0xab27c809,
+    0xdb3b34df, 0x8e888f53, 0xdff6dee5, 0xd4a922fd, 0x4bb6ecfa, 0xd075a087, 0x8b4d42d5, 0x9d8836c5,
+    0x00000000,
+    0x6acc03a6, 0x6dfea68d, 0x0a7af284, 0x552714bd, 0x317076d0, 0x08588ab8, 0x98be66bc, 0xdfdf461e,
+    0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000007621456421669902908646477611799722426144038434240652223777238670\
+                          96038022172794340849684107193235344521442121855812163792833978437326241529856 */
+  { 0x00000000,
+    0x2b9e6f98, 0xbbead46f, 0x045b715a, 0xe373f362, 0x39fe03ef, 0x355bd72b, 0xbc98df61, 0x87a8392b,
+    0x10a0b3e9, 0x57ceb283, 0x825a78f6, 0x74024f4f, 0x368cf543, 0x8483d535, 0xab2bce2d, 0x402cf7c6,
+    0xb8cd6a67, 0x58f07937, 0xd97c3202, 0x3b11e04d, 0x3a770587, 0xa7675bfb, 0x8b62575e, 0x090ca1c2,
+    0x5c27412f, 0x8feebd57, 0xd0b3a38c, 0xd8244fb3, 0x2f6411d6, 0x13bd936f, 0xb766a709, 0xa58e99f8,
+    0xe3b3cc46, 0xd5a65d9b, 0xd9e1d63b, 0x76dc20a5, 0xbe35e919, 0xb5b9a6c5, 0xaa5785d6, 0xe2a4677d,
+    0xc360ce24, 0x2feceb80, 0x34a27ace, 0xe26451e1, 0x9ccf5f1f, 0x6f92d8b3, 0xf5f85771, 0x03e57635,
+    0xfc229b9f, 0x84a62d17, 0x757f9727, 0x3c4f25c8, 0x2d76d919, 0x45303365, 0xcb8e1d5d, 0x2a30595b,
+    0x350918e9, 0xb1ce9254, 0xc84e40a3, 0xd244a9d5, 0x8b49f449, 0xc6c76487, 0x1ce6157e, 0x7bfe6332,
+    0xf862c46a, 0x56775e0f, 0x84797ea0, 0x3b7b6c52, 0xb00555da, 0xdf549a60, 0xb1bb3b78, 0xda5023ab,
+    0x4b36045c, 0x23498e43, 0x2a43689d, 0x4375c429, 0x1a154104, 0xcc3b4cc9, 0xbf3728f1, 0x4dbf0ab3,
+    0xcb09416d, 0x3601e74a, 0x5c8d0880, 0x2991a765, 0x9070c713, 0x40291470, 0xfb1ba741, 0x4d85c62c,
+    0x3f2efac7, 0x865d9969, 0x99e30b7a, 0x568196af, 0xc2f70697, 0x7d2392e8, 0x074e4e67, 0x9aaa1cb1,
+    0x1c7a47ed, 0xcacd7130, 0x73570f06, 0x02e01433, 0x20a431ab, 0x3e966586, 0x763f7ac2, 0x80d09e2d,
+    0xecf03f5b, 0x695c213b, 0x9732d4bf, 0x818db8cd, 0x860e3a47, 0x63a727e1, 0x0b622af3, 0x6b83080e,
+    0x39eafdd7, 0x3748ed11, 0x9caae01a, 0x2660cd98, 0xcaaa362b, 0x32f873da, 0x0cdda13f, 0xcd096e62,
+    0x851a715e, 0x942d09b8, 0x40707468, 0x3d00aa25, 0x1a134e3b, 0x45154834, 0x65c195cd, 0xed56c39c,
+    0x5e92fe35, 0x796344a6, 0x7d5947ca, 0x576ce85c, 0x082dcde1, 0x8c2df29c, 0x3a59c7f6, 0xa9e8af73,
+    0x22d7bddb, 0x09c1cf67, 0xb2c4c25d, 0xa960e44a, 0x6641c982, 0xa88e54ce, 0x4d097cd0, 0xd68dc42e,
+    0xb816b831, 0xacc2f49c, 0xcac2ee1a, 0x9f139d32, 0xdda877ec, 0x1fc4615f, 0xc73fcd1d, 0xa6afb5e9,
+    0xdda97442, 0x33cda0ab, 0x8cacd740, 0x973c3c31, 0x415e63d9, 0xd9acebb0, 0x3b9d67ae, 0x8121af3e,
+    0x6f4550f0, 0x5cc9ff57, 0xbdb92eef, 0x583f71e2, 0x69e0a9f4, 0xdf214356, 0xab038b45, 0xdbb2f582,
+    0x397faf49, 0xb8b658e9, 0xd7b799bb, 0x794852bd, 0xfb9c4fc8, 0xd144a53c, 0xd0b59072, 0x1613c1cc,
+    0x8ca4b539, 0x2891e5c7, 0xb0b26554, 0x57169dc1, 0x44bc92b6, 0x1cba6591, 0xbd1ccd0f, 0x13ab2204,
+    0x68c07ab9, 0x44449c13, 0x784cab30, 0x19978c62, 0x012442c6, 0xe125a7e7, 0x98aeb152, 0x612df144,
+    0x47eb8599, 0x5d67f3a9, 0x802aa222, 0xcb559ac3, 0x2af42ce2, 0x9d1d1ff0, 0x0267b6aa, 0x00209d84,
+    0xd57f0f27, 0x4fa08c68, 0x487e353f, 0x8e89df30, 0x03a30818, 0xf3cd86c6, 0x87b39db2, 0x12608aaf,
+    0x6db0ebc2, 0x0c1bbe46, 0xbc95cde0, 0xc0347bd9, 0x9e4d40b3, 0x47119b7c, 0x32d0cb56, 0x5a38fb44,
+    0xd49c9957, 0xc675973f, 0x90e451b0, 0xcacf12af, 0x453d0c65, 0x2f50b824, 0x0efc902e, 0xc750a1ad,
+    0x8d3315d5, 0x3c97bfbb, 0x312b8600, 0xb25ac450, 0x2c57aeb5, 0x61e3366c, 0xd537ba02, 0xb5047aad,
+    0x5165a577, 0x2c28b42d, 0xaa7be46b, 0xdf703f08, 0x05891b93, 0x4ff81a36, 0x53f08a5e, 0x419cc599,
+    0x8a1f5b0e, 0x719809eb, 0x1ecbc7b5, 0x8868109d, 0x5d0c990e, 0x4e7845e6, 0x60674ccc, 0x9c06a70d,
+    0x430fc6fb, 0x97275f57, 0x8b34c6c2, 0x8b8d6fee, 0xc4057bbd, 0x62141530, 0x7b3f136e, 0x526d2c10,
+    0x59fd177a, 0x1f9eb60f, 0x8c7c6a7d, 0x5432bdd5, 0x51ed12a4, 0x467ac4f0, 0xaf0113eb, 0x96562e33,
+    0xaaefc31f, 0x29cc02c2, 0xf47896e9, 0x2f4b591c, 0x317f1e08, 0x8aeca39e, 0x88849ef1, 0x94bf9efb,
+    0x4db891cf, 0xc7256ba8, 0x50fdcba8, 0x930b7c55, 0xa6783343, 0x903945c5, 0xb839624a, 0x62db69a4,
+    0x4ddc4530, 0x49104fa9, 0x51d17ed2, 0x14a50193, 0xb77019c0, 0x22a9f363, 0xb062ec24, 0xac5c70c8,
+    0xb8555ba2, 0xd1efcc50, 0x2e7b7591, 0x2337c11e, 0x8a836f4e, 0x8c17ddcc, 0x9d69eb0c, 0x2214d022,
+    0xe8fdbf75, 0x8fd30dc6, 0x3382a77d, 0x315f9f5e, 0x6fa3a377, 0x2e458e30, 0xce50e4da, 0x69e7a0b6,
+    0xd10279dd, 0x62c9d2f0, 0x58b01fb4, 0xa2613cd2, 0x0723a79f, 0x68d442df, 0xd6d09bd8, 0x17c7b813,
+    0x56dec1aa, 0x73f0d09c, 0x308e3c57, 0x2477d227, 0xc9fcaf03, 0x1a43fdbd, 0x522ef9b8, 0xda1c0f04,
+    0xc449dcc6, 0x160cfc4f, 0x1b523cf0, 0x1e5eeb50, 0x2a931a88, 0xd999d250, 0xe8dd251e, 0x4ba2bc7d,
+    0x09667014, 0xdd1e2d94, 0xe62cbf38, 0x363c4416, 0x5aaaddf1, 0x4fad2f6d, 0xa640ae11, 0x23bf349b,
+    0x48c07bce, 0x548607f9, 0x27edfdcf, 0x04cd392b, 0xf49c2851, 0xd81b6ea2, 0xcadefde1, 0x1e60f618,
+    0x268cb496, 0xe4d13d54, 0x853592ac, 0x28e65686, 0x9f21da9d, 0xe3f523af, 0xa3b81808, 0x3ff7df89,
+    0x695ad527, 0x1c9cb1de, 0xae79df5f, 0x02d25b18, 0x896156c1, 0x0657b75d, 0xf341b9ad, 0xfa75d349,
+    0x2ae95077, 0xb61a77bb, 0x2e6e6d2e, 0xd0b31263, 0x3dedcf28, 0x5831acd1, 0x2894f216, 0xd2b34484,
+    0xe9234016, 0xb810c3da, 0xd286150d, 0xd1335bb5, 0x63dcef1c, 0xd590f51b, 0x5dd98507, 0x79bb36bb,
+    0x8daaf79d, 0x67fe7291, 0x1c05605d, 0xb260fea5, 0x0f9b4498, 0xaaa8dd89, 0x40886834, 0xce80f4de,
+    0x032ecb4e, 0x15543ad3, 0xc11e06ab, 0x2209bb84, 0x1e1d6273, 0xf1c12d41, 0xa26e4ed1, 0x96c36cf3,
+    0x92b90a40, 0xf461ae81, 0xeb956956, 0xcdc8d5fb, 0x346746a3, 0x3b4735ca, 0xbd414b48, 0x53b64fe3,
+    0xd17865ec, 0xd4720359, 0x8f4c2430, 0x868632ce, 0xba093f2e, 0x28761872, 0xd4a9c855, 0xfb0d9a3a,
+    0x1739fb75, 0x1f8cadd4, 0x357379b7, 0x018ed297, 0x8e8fcaf1, 0xda336475, 0x05eb31f1, 0x9badc45a,
+    0xe513dc1c, 0xf7c5339d, 0x03a9ffb3, 0x315cb2b6, 0x2a5a5c98, 0xe5b945bb, 0xe480d5c1, 0xe39015ec,
+    0x350406bc, 0x53aa9dab, 0x65f3c89b, 0x8fb422a1, 0x28c776e3, 0x5fe9b8aa, 0xaa919532, 0x10d40555,
+    0x354f91a7, 0xc814c786, 0x5c484e43, 0x8c12e275, 0x7e8a987e, 0x43e2d913, 0x4f5fffb9, 0x5fe8b34f,
+    0xb51e8ac7, 0x317aca15, 0x20485dfd, 0x08fcdbc7, 0xde534f29, 0x9c18025c, 0x37ba41b3, 0x7cde93df,
+    0x9b6466b6, 0x29979480, 0x0e7a4445, 0xb855d825, 0xf85a2100, 0x51f7e1f8, 0x1669ea6a, 0xd75a339f,
+    0xf5fa008e, 0x448f755b, 0x1f0121fb, 0x8d40ed76, 0x03771719, 0xe80d2b41, 0x779417e5, 0x66e62f55,
+    0x514ae6ac, 0x15e775fa, 0x51615d96, 0x2fd3ed30, 0x9c9a93fd, 0x3c4cae40, 0x0c64b44b, 0x3fa88265,
+    0x711598b2, 0xa13ed108, 0x2fa7f5d1, 0xe6c6ed11, 0x7d5fafab, 0x1fb099c3, 0x1cb68226, 0x74b662e4,
+    0x0c83119e, 0x8470780d, 0x4e213b0f, 0xe613e872, 0xdfd6024c, 0xd10503a2, 0x2cb36dbe, 0xc80c8b70,
+    0xfc79e215, 0xecaabd9f, 0xa8efaaae, 0xa275247e, 0x8d7a5750, 0x76567ec9, 0xbda29999, 0x4278886c,
+    0x4acede9f, 0x28dd0e75, 0xecedf996, 0xd188bbac, 0x3b93baca, 0x43031455, 0x0b2b3cce, 0x84a0fa00,
+    0x8b2f0d6e, 0xc1ea4117, 0xe5efd603, 0xbe9e6a6f, 0xb85f4a62, 0xc37e8dc5, 0x7b4d96c3, 0x060ac331,
+    0x4d5cd5f2, 0xb9fd0cd2, 0x867beca6, 0x5d1003a0, 0x40af92f1, 0x2b968ee7, 0xd23d406d, 0x7617d0c5,
+    0x860d0c14, 0xdd021bc6, 0x7fd11aa2, 0x2741afa7, 0x5dbecd9e, 0xc60a9084, 0xa41c36de, 0x65e80bc9,
+    0xee721d03, 0x998b46e2, 0xf45378b4, 0xb6e5e7fe, 0x2a041fd2, 0x8ade4dce, 0xb9b952a3, 0x98d1cfc3,
+    0x99563326, 0x983856f4, 0x547a1fc0, 0xbd2f8d06, 0xb9f3068b, 0x34a97491, 0x805d6242, 0x8d29a418,
+    0x3d88ca7f, 0x8826e7be, 0xc78c3fb9, 0xe55194ff, 0xdaca63ab, 0x7a848444, 0xadc7eed4, 0x7c4ec277,
+    0x08b4d0a4, 0xe7f9495b, 0xae7d2daf, 0x8fa28bed, 0x546e157b, 0x20684a65, 0xe317a4ca, 0x2ed5ae7c,
+    0xc03d5db8, 0xe86b9f41, 0x8daa14a7, 0xc21c3d56, 0x9c78efb0, 0xfd0e9ebb, 0xc8446445, 0x35ae3224,
+    0xcbaccd77, 0x82fb2ddd, 0x22abb471, 0x6b83b9ab, 0xf4457c8f, 0x5cb7d1af, 0x28fa58eb, 0x0361ef7f,
+    0xdeb8c77b, 0xe3e64781, 0x30df77ca, 0x8cff0736, 0x4b3ef949, 0xd8315e43, 0xd127eae1, 0x0673320b,
+    0x4af90590, 0x5776adfd, 0x417967f7, 0xc138d3ac, 0x8209e8b9, 0x5727827d, 0x840b955e, 0x240d02a7,
+    0x630294e0, 0xd5015d10, 0xa264bb9e, 0x84380bae, 0x31f4ebb4, 0x278cbb59, 0xdf6e75b2, 0x61cc013e,
+    0xa390e24e, 0xc8c2cb4a, 0xdcab08e7, 0x18b57908, 0x33416187, 0x66f85172, 0x7b668916, 0x44e819cb,
+    0xf08f82db, 0x395f1ad6, 0xde8bdfeb, 0xfd920912, 0x237f80e6, 0x30a65457, 0x35621115, 0xdc1e8cc2,
+    0xa3e5f4f9, 0x6062312e, 0xa7b2df1a, 0x6bf4d475, 0xd07e8ce5, 0xd3748a22, 0x7c6cfaee, 0x018cfd63,
+    0x7c9f44c3, 0x1207a5a5, 0xca16730e, 0x261b3dcc, 0xa48c75be, 0x5e3533b1, 0x138c68f5, 0x82461c9d,
+    0x12fe3398, 0x0df0a307, 0x74fc0228, 0x70ff0c87, 0x5eff575d, 0xcd567f45, 0x6481bc52, 0x06fbdecf,
+    0x9e23491b, 0xc865a522, 0x13470d82, 0x99af1e77, 0x45e21e23, 0x437dec89, 0x6dd1f9bb, 0xd7471859,
+    0xada79a38, 0x9fdfa871, 0x0931362a, 0x18df3c19, 0xf942f327, 0x9530899b, 0xe9fd97e4, 0x68507dd4,
+    0xdbe5f671, 0xa650f160, 0x419d7424, 0xc80f4b56, 0xff60b74c, 0x755dd780, 0xadc684d1, 0x8f882ca6,
+    0x4a82a82c, 0x22c894e7, 0x1e7f3873, 0xe8ff639a, 0x825dbcdc, 0xaa6c5a95, 0xd8e99582, 0x7ea67a2f,
+    0x2f277fef, 0x0c818735, 0xc3520dd8, 0x74663a04, 0xcfac1e74, 0x779a3092, 0x2a261162, 0x66ce81ee,
+    0xa95d4324, 0x6723e76c, 0xbfdbe355, 0x21430a28, 0x95273b49, 0x06b03b74, 0xc9131219, 0x59b2677f,
+    0xcadae69f, 0x2efb1530, 0x052d3c22, 0x429159e6, 0x0aa7a8b7, 0x00d2f8f0, 0x5dfaab4b, 0xb3be1678,
+    0x3dea729e, 0xd8611c20, 0x4ee3f030, 0x867611bf, 0xc41796a1, 0xb2dd8476, 0xcb616c3c, 0x29a1317d,
+    0xe5d6310b, 0x473f21df, 0x7ea8fb25, 0x32f1128d, 0x64f3eb76, 0x0328922a, 0x20d739b9, 0x14198f2f,
+    0x146e7c39, 0x6d5bcc79, 0x50d19516, 0x9e0c34f3, 0x54224d6b, 0x8851b6e5, 0xae171b16, 0x96056acc,
+    0x4a558909, 0x9f250157, 0x27d8c419, 0x41b69edf, 0x49dd20e7, 0x89bf7678, 0x7922adf9, 0x7c65ec71,
+    0xfbf8ce0d, 0xec13d5b6, 0x79be4af4, 0x21c2b15c, 0x0df2222f, 0x62b8bcad, 0x25554c22, 0xd1633d38,
+    0xabb5ad36, 0x28393289, 0x79d04c27, 0x2f7c92a9, 0xeb5a84cb, 0x537c1e38, 0x9d2d1975, 0x7ff9612e,
+    0xf6ac9d9a, 0xdb539b9e, 0x48b7acc4, 0x0e5c50e8, 0xdf9bb345, 0x63c9e87b, 0xbd7b98e0, 0xb321b5a4,
+    0x9bd99f28, 0x634ee33a, 0xf73c1ee6, 0x6296c38c, 0x153bd743, 0x83d018ea, 0x73e39dcd, 0x118c4a98,
+    0x910bb1e3, 0xb2031ca2, 0xe34a5b4c, 0xfb0dd623, 0x04ce45b1, 0x259c5b0c, 0x48ebb53f, 0xaa8907a1,
+    0x0d609ee4, 0x7bab8ae0, 0xf30c65ff, 0xa254c472, 0x208cf815, 0x81c31d6a, 0xdfecab13, 0x0e13431d,
+    0x110bea82, 0xf35a32c1, 0xd9573a81, 0x833458e8, 0x6d53aa6f, 0xd9d39257, 0x715a6f71, 0x72476701,
+    0x03eeb9b9, 0x16d2d4f9, 0xb4985e8f, 0xb833154a, 0x3a2b4ae3, 0xcd087f7e, 0xdb1b41ef, 0x4cfa3fad,
+    0x810788cd, 0x044a0b78, 0x58c9adfe, 0xd8ab205d, 0x96e7f88f, 0xed0c38e4, 0x77c2fba0, 0x5c009fae,
+    0xb1d15551, 0x56433b11, 0xa7a4aa5f, 0x3b1c9c20, 0xde5c5bca, 0x0832c3f4, 0x689bf5a3, 0x4ca75eb5,
+    0xb7657cd4, 0xedbd621b, 0x09539082, 0x3bcd11e4, 0x83afeb4c, 0x263c0e1a, 0x1e369a07, 0x888a4161,
+    0x4e4d3965, 0xa7f3e8e1, 0xeb8f038b, 0xef792bcd, 0xa157611d, 0x788ecdb1, 0x1d0f7086, 0x340eabde,
+    0x5ddf9159, 0x657161c3, 0xc60bccea, 0x32d29313, 0xde9f7bf9, 0xea19675b, 0x895a0705, 0xfa17b81e,
+    0x81618b1f, 0x99321f37, 0x8ee06e91, 0x85ce4b8e, 0x6a1e790d, 0xd7a9f6c7, 0xedd5c2c4, 0x5a9b6163,
+    0xd682e425, 0x57a27d69, 0x73a6ebba, 0xfadb30af, 0x3d66bf6c, 0xcf9823d9, 0x12f9b3c4, 0x7574a980,
+    0x9f5ab86a, 0x08b6ee43, 0xe2bee65b, 0xd2f3ea10, 0xd4f5436f, 0xa5c1015a, 0x9c4b8fe7, 0x881ae6cd,
+    0x262e87e6, 0x04c0a610, 0x24cba058, 0xabf6ec8d, 0x5a13ec9f, 0x16d3d4e0, 0xcfbfa28c, 0x58d38237,
+    0x19156395, 0xd481acc2, 0x0b38e5ef, 0xed8808be, 0xe74bc0e9, 0xaf02e178, 0x4584d8c2, 0x5704556f,
+    0x3dc1b85a, 0x5209bd3d, 0xdc747b0f, 0x4debc30c, 0xffeb14ce, 0xd71603eb, 0x0d89ecb0, 0x97710c53,
+    0x4833f4d4, 0x408f908d, 0xf06adb32, 0x1e996cc5, 0xff0bb571, 0xfcf652f9, 0x1a434345, 0x7f6473ec,
+    0x2a7107fc, 0xdcd9f9fb, 0x7dc3532d, 0x7f9133bd, 0xd3a46640, 0x3c380063, 0xed3dfa55, 0x0e036f11,
+    0x6be4ceea, 0x094fbe20, 0x22586b33, 0x5731ae2d, 0x3b974116, 0xd7f332df, 0xfb60615e, 0x37129446,
+    0x75feda66, 0xf06f67fa, 0xa590989d, 0xfe1919d2, 0x36b6e53e, 0x49471d3a, 0x5f9a55f5, 0x84c40b26,
+    0x1788f007, 0xbe245347, 0xd80ddd8b, 0x65deec24, 0x5826cf5f, 0x871e6f12, 0x6be76a56, 0xe5d04787,
+    0xa772995b, 0x595ac0dc, 0x1397d285, 0x4ffb7d87, 0x68712a0a, 0xc95deaf4, 0x7f9c9061, 0x4c7af26f,
+    0x55584793, 0x5678f192, 0x54335202, 0x8fca2ad9, 0x0d9620a8, 0x90a0558a, 0x76cbe5b7, 0x590ca967,
+    0x23de70b9, 0x6fdc520b, 0xaa4df1e0, 0x5d2e3145, 0x3faaef4a, 0x8dfe114a, 0x429dadf7, 0xe414e271,
+    0x1d08be7e, 0x9c373f51, 0x05c95bc2, 0xde0f9ee5, 0xc7d97632, 0x0821b37d, 0xf5b73559, 0x2a285868,
+    0x05cbed2f, 0xbf5fbdbd, 0x39ed31bf, 0xaa549913, 0xe4c898a0, 0xa866c8b5, 0xce3d27d3, 0xc5727f99,
+    0x4bb1394e, 0xfdb1619f, 0xe8d0dfb1, 0xa2e08c8a, 0xb3337e62, 0xc9d12a74, 0x9e72d4fb, 0x1929d419,
+    0x4fd5b3cb, 0x8380d41f, 0x8d9bb5fa, 0x740d8af2, 0x0b66def3, 0x0750e49f, 0x4200f429, 0x8f9d1752,
+    0xc5459c1b, 0x1628d193, 0xd1f6f1ed, 0x709ae77b, 0x176442f4, 0xd17fc531, 0x7c853a32, 0xf283fea7,
+    0xe0c90243, 0x19804c28, 0x449511cd, 0x2f04406f, 0x068177be, 0x1450182b, 0x023bcfa3, 0x669e8096,
+    0xdca3861e, 0x2d604945, 0x03c0e8fe, 0x9100311a, 0x8b18f7e8, 0xa126e771, 0xccdd4050, 0x9482e3cf,
+    0x03eb78c7, 0x389c462c, 0x6d754328, 0xda70c421, 0xfe8f0316, 0xb5d8f80b, 0xde9a0bca, 0xc8d1a0b6,
+    0x00000000,
+    0xb56601d2, 0x36ff5346, 0x853d7942, 0x2a938a5e, 0x18b83b68, 0x042c455c, 0x4c5f335e, 0x6fefa30f,
+    0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000003810728210834951454323238805899861213072019217120326111888619335\
+                          48019011086397170424842053596617672260721060927906081896416989218663120764928 */
+  { 0x00000000,
+    0xa1bb68e3, 0x3b554574, 0xf4c286e3, 0xa8b44ec4, 0xa9e9e5f8, 0x73a924ea, 0x997411f8, 0xba66057d,
+    0x0eae4f7b, 0x195ac9b3, 0x7f896977, 0x6d08fb8c, 0xf1fc6e09, 0x790da60c, 0x85d2e20d, 0x60d687d9,
+    0x32abd9a2, 0xb6d82783, 0x9f806e8a, 0x1c0872b7, 0x386717b2, 0xd87285a8, 0x5a4c5bf0, 0x85459e82,
+    0x41ac953c, 0x957f6080, 0xda5e49e7, 0x0338b963, 0x652a6a86, 0x445f1234, 0xe0147c7b, 0x3b00d9b1,
+    0x4140f341, 0x31b4b1e6, 0xf8e3615f, 0x27caf72a, 0xfc6f2bda, 0xfbd0f47a, 0x29933462, 0x9436cf6b,
+    0xc82e62a3, 0x28b30f98, 0xd2f1cbad, 0x360c0173, 0xddff09dd, 0xc8374b85, 0xdc1780ff, 0xa839b824,
+    0x5244a43a, 0xa56689bc, 0xc17b1345, 0xe782d0dd, 0x345a977c, 0xaf6258ce, 0xbdb735d4, 0x15a7b7b1,
+    0x259e4a72, 0xb369ed06, 0x44a832a7, 0x026db092, 0x787258bf, 0x85343644, 0x4c72e884, 0xf70243d4,
+    0x2a54e917, 0x1f15fc50, 0x20a6f754, 0xd1c595ec, 0x6d11b387, 0x2c3bf74f, 0x8e2e8af6, 0x60cbb925,
+    0xc6ae0323, 0x208c370e, 0x9808182c, 0x06e5a463, 0x59a9d7b1, 0xd312364d, 0xf12a01de, 0x538d6158,
+    0x60ea6d29, 0x3b6adf77, 0x3aa06c80, 0x738975e2, 0x05430e1d, 0xa07c1d2d, 0xc8eda6cf, 0x09580bc7,
+    0xd92a5ea6, 0x7ee410d8, 0xfd327a93, 0x4d625595, 0x6c503fc0, 0x283344ff, 0x293f51cd, 0x932d77cc,
+    0x15dcbc97, 0xdb72c4ac, 0x1a7121d3, 0xdc353acd, 0x75699271, 0x5dc7a95d, 0x70ea644a, 0x8fc48ecc,
+    0x758ae237, 0x82cdd38b, 0x12ac5382, 0xdbbebd5d, 0x1c385a1b, 0x2e146f74, 0xda84e815, 0x33f49845,
+    0x7758d137, 0xb5d39e62, 0x341cc1ec, 0xe71f8aa4, 0xbef45f2f, 0xfb3c1ce4, 0x7e0b92e7, 0x2aed86cc,
+    0x5e1e4eff, 0xf0db61fd, 0x624bf05e, 0x9a9d8cb9, 0x65946df9, 0x8c6d3eec, 0x5f0b5bdf, 0xdede2823,
+    0xc1d4581d, 0x05f73110, 0xc4a479cf, 0xa6f2f7c0, 0x3ed381aa, 0x29b0460c, 0x17bf5be8, 0x89a73038,
+    0x094d23df, 0x635ccfe0, 0x464a820d, 0xa5633c28, 0x3261cf02, 0x29f76ada, 0x0f6652d0, 0xbd7f139b,
+    0xcdaa6369, 0xae66ae99, 0xe2969dad, 0x25dbb844, 0xbadb28d0, 0x4e9cf377, 0x8e792269, 0x4b0c94aa,
+    0x6bc292ec, 0x4f88ce33, 0xb0f698a9, 0x55bbea62, 0xd4c965bc, 0xbfe97340, 0x53648792, 0x84a55458,
+    0xdab0ef8d, 0x0a3cee5c, 0xf626e7c7, 0xebfd5d12, 0x6a5f1e22, 0xd7e07fcf, 0x02a3abbb, 0x40b8e912,
+    0xef3d13b9, 0x99782c1a, 0xe1971248, 0xbd4f4f7b, 0x869c0720, 0xb2ad6147, 0xf45b0b25, 0xb27b1442,
+    0x91e619d8, 0xe488bcc1, 0x7e685643, 0x56eb3e9c, 0xc63d0bab, 0xbec2b722, 0x13d5932f, 0xeb7382a3,
+    0x992b5ebf, 0xf69515a1, 0x5151299f, 0x8b671b7f, 0x85b9ba8c, 0xddc88ec9, 0x176c3c53, 0x8b6f6132,
+    0xfb36e15f, 0x9bcd372f, 0x318fb3dc, 0x31bf0588, 0xa12719db, 0x4850a14e, 0x9547296c, 0x0fdf058d,
+    0x806f26c2, 0xccea978e, 0x79c1ba59, 0xaa6d40fe, 0xaaeb9487, 0x16a1e327, 0x8c79aba5, 0x046ad8c9,
+    0xfd6fbb24, 0x04dd1b2c, 0x7d938de9, 0xb31fa60a, 0x32072717, 0x574907c7, 0x8b8c4c18, 0x44fd719f,
+    0x798c27ee, 0xada960fd, 0xfb34322a, 0x94867f54, 0x61bcf15e, 0x96ce2b20, 0x4602f566, 0x8ef5077a,
+    0x7af471e1, 0xbaf3f852, 0xc2ddd7eb, 0xf76e126f, 0x11f8ec67, 0x53ee9e18, 0x5a75348b, 0xb997bc64,
+    0x7ea8e719, 0x35b51eeb, 0x81d3962d, 0xce568fbe, 0x8c3f135d, 0xd7fed173, 0xd67c7d88, 0x5591593f,
+    0xe1c8c419, 0xe207cbf9, 0xe32f8402, 0xbdf5b6d9, 0x67be6a5e, 0x82420531, 0x27ede511, 0xc37cbcb7,
+    0x1e863cb8, 0x74bf2d6e, 0xc02afdf4, 0xa0fc7ac9, 0x41104fef, 0xb3ee862f, 0x2bfabbab, 0xeaedf2b5,
+    0x32da0fe9, 0x25dca365, 0xc8b0b947, 0xc4cffa62, 0x9a0f228f, 0xcbd3a7a5, 0xd5f7702d, 0x82540828,
+    0x45fbc9fb, 0x54055a4b, 0xf3d12856, 0x9b81798e, 0x49b21834, 0x0afd272e, 0xbee963a3, 0x9b8a7117,
+    0xdc351ad8, 0x16edff91, 0x808f1925, 0x70b09e95, 0xcab02510, 0xc0dc4d87, 0x351af488, 0xcff6b47e,
+    0x47a6f7e8, 0x858438c5, 0x955f459d, 0xb5d151fc, 0x78faf5d5, 0xc93951cc, 0x6610d290, 0xe06e4753,
+    0xb9cc608f, 0x674807a7, 0xd2fce483, 0xc1d948a9, 0xe4c74332, 0x7667b25c, 0xddf56591, 0x04dcdf07,
+    0x5de7a727, 0x7c5c30bf, 0x18ad58f4, 0xe3e5141c, 0x0453f625, 0x66481d67, 0x2ca59e79, 0x642ca055,
+    0xbe7969d0, 0xe75d6985, 0x179d3a89, 0xbe41f947, 0x5fd452fb, 0xe8de0e35, 0x558a4b40, 0xbcfa0095,
+    0x73902a38, 0x4637361a, 0x4a4f1af7, 0x5c213c1a, 0xd42464d8, 0xfef403ad, 0x7eb72080, 0x4a8d677f,
+    0xe6d4516a, 0x4036b32a, 0x1ea9b118, 0x22369165, 0x7ae1d741, 0x4db7e94d, 0xe25f00ce, 0x938791f1,
+    0x398b4d05, 0x6ff385e6, 0xb54048e8, 0xeadb0835, 0xf46c1a50, 0xbe5ab3d8, 0xc8960c3a, 0x9139af6a,
+    0x37558aa0, 0x2af3e64b, 0xf7d8a814, 0xd127c600, 0x831c1a82, 0x35361203, 0x13ef2ce6, 0xd4ad0142,
+    0x776fa2d7, 0x08ae4fb3, 0xb446a671, 0x3728dacf, 0xacae81b4, 0xde66cda1, 0x0bde0b37, 0x55cc959d,
+    0xc9ad9783, 0x2c4b9a98, 0xac7719c3, 0x7159bcd4, 0xa1ddd8e5, 0x08b03c28, 0xa05da00f, 0xe279bfdc,
+    0x6946c3af, 0xe6551bf9, 0x615deb01, 0xb097bd44, 0x6c79aa3f, 0x25b067ad, 0xc8aa5620, 0xfcbf6423,
+    0x113552e9, 0x6b918410, 0x32566621, 0xbddff1ae, 0x4efe7baa, 0xe9ade08c, 0x624c5314, 0x2618e879,
+    0x2284f599, 0x3ba25ea8, 0x16e5486f, 0xcfe13d0f, 0x43da5198, 0xd01e32e2, 0x68c6c35a, 0xc93b0ec4,
+    0x0383fff8, 0xa20e1980, 0x27f85066, 0xa19dae62, 0x5ae7b2c7, 0xbc5de7b3, 0xa55f9b79, 0xc1bd7cf6,
+    0x79994573, 0x891c81cb, 0x79a58e3e, 0xc09e0511, 0x14af0f13, 0xd48de355, 0xae6a9fb5, 0x46734607,
+    0x4e836569, 0xe5686499, 0xa90afffe, 0x05f6fda8, 0x26b3ef78, 0x9559533b, 0xedef4069, 0xe0b189fa,
+    0x9d5e27c7, 0xdd20cab4, 0xc97e5fad, 0x43f9aa35, 0x74aaa17a, 0xa53265b2, 0x263eb796, 0x9851cbf4,
+    0xb52c3c8f, 0x7bb9f6c0, 0x84f1c97f, 0x42671d02, 0xbcc961d2, 0xac292e24, 0x75fec7e2, 0x1949ccd9,
+    0xf94b53d3, 0xa7cde92c, 0xec056ea8, 0xc3fedd3b, 0x4ebd5cb7, 0x76e26a42, 0xa241ea88, 0xc47ec0a8,
+    0x7acdf562, 0x6071520c, 0x123f6085, 0xe7de83bc, 0x60eeb841, 0x7513b85b, 0xe5c0a73d, 0x6f43114f,
+    0x803e60da, 0x397faaa7, 0x0b3b61b5, 0x31ecf395, 0x431a4958, 0x08b7a54f, 0x6aca4177, 0x589fc7c2,
+    0x549b231f, 0x1484f079, 0xd376fcea, 0x360d26c9, 0x7fbd487e, 0x51e457ff, 0x0dd3948c, 0x32ad9003,
+    0x8176e2d6, 0x1c3ba227, 0x0a8064f5, 0x4edf679d, 0x8d2e4f19, 0x3baa483b, 0x46fc07be, 0xd18b5c57,
+    0x4aacc6e7, 0x89545ab3, 0x7b13caff, 0x6ae87b12, 0x51adac8d, 0xa034a1e1, 0xc0e50853, 0xb14155e1,
+    0xc9e74f94, 0xc0a5d37a, 0x97e7844a, 0x8527bd3d, 0xe8ce0fe8, 0xf0c78cde, 0x2e8b129a, 0x36eb2b70,
+    0xd8b445aa, 0x54bdbe58, 0x2f398eae, 0x11148777, 0x3ba1665f, 0xb857e668, 0x1afeb51f, 0x180be911,
+    0xf5c4591d, 0x4e300174, 0xbf838338, 0x1246f1c4, 0x329b54d0, 0xec4d96b6, 0x60563572, 0x185fa414,
+    0xd9bb655d, 0x081f7533, 0x289b680e, 0x354a8471, 0xcc47dd03, 0x62d6e0e8, 0xcf75ea7c, 0x8ec7857d,
+    0x1ec2d4ac, 0x0b8e48dc, 0x1bc18ffc, 0x94d05172, 0xf06c8ef0, 0x14d4dfa6, 0x38125d7d, 0x7794d871,
+    0x14a77fd6, 0x5acbef5b, 0xe927c15a, 0x7a2e9734, 0xa082f14d, 0xb006381d, 0xad4d7c9e, 0x906b036f,
+    0xd645486c, 0x5cd4013f, 0xe86ef3a8, 0x4424f9eb, 0xaa989fa4, 0xd7c07512, 0x905635a7, 0x81fd7c82,
+    0xe557b591, 0x87803a1e, 0x3d6dc319, 0x61f6cd78, 0x90a82c1e, 0x45cd68b4, 0x673ece23, 0xc5630bb8,
+    0x0282a828, 0x36e2c63b, 0x43959ab4, 0xe8a2b1ef, 0x5126f92e, 0x26479cf2, 0x59735cc1, 0xee4c6c5c,
+    0xaab38262, 0x36e9382d, 0xe6abc3d4, 0xadfe8034, 0x75421ec9, 0x6d01296a, 0xa74fefbf, 0x50fc8f68,
+    0xc5616c6c, 0x0075c729, 0x681887eb, 0x84a4a4df, 0x351d91c2, 0x6c9082a4, 0x6250042f, 0xcc1ef591,
+    0xfc8185e2, 0x6b88b433, 0x8e90ceed, 0xabbf4c5d, 0x57e8a71f, 0x619ecd18, 0xe0d29a75, 0x1f9ed4d0,
+    0xa7e13f68, 0x0db87e5f, 0x7118178a, 0x11a84f19, 0x0d9333ca, 0x4126d34d, 0xc42877dd, 0x16f85f34,
+    0x21fd4b1b, 0x66d4b99d, 0x61cbd7a6, 0xe5a9316e, 0x0caef0f8, 0xc14c0f1c, 0x9f5fcb3f, 0x297582c7,
+    0x60a2bd29, 0xf97af223, 0xf76a37af, 0x12ed727e, 0x167c474a, 0xbebaaf1f, 0x928b88f1, 0x0be457e7,
+    0xed46be4e, 0x75b6c648, 0xe358ab95, 0x42c50a93, 0x15f1c2f6, 0x5005e27c, 0x94466a0e, 0x35f5a42a,
+    0x8b777fef, 0xa37a54c2, 0xe72ebdbc, 0xb318a7be, 0x62432a64, 0xef914dfe, 0x65ad2afa, 0x3dadea2c,
+    0xd3c9de45, 0x9b29d194, 0xce22283e, 0x1598eca3, 0x08694a01, 0x6ea21805, 0x6ad4aca7, 0x7a068b28,
+    0x28f608a0, 0x6f4cdde2, 0x8d9d00e7, 0xa48ff407, 0x33cd9114, 0xebd227dd, 0x79e6ea6f, 0x9a11a5b5,
+    0xf1fbc1d7, 0xe642d073, 0xf141532e, 0x31b432e6, 0x6c824b0f, 0x636195d3, 0xa6628951, 0xcf6a3a58,
+    0x02031890, 0xebabc02d, 0x8dd242bf, 0x533c4801, 0x8ec25574, 0x35545679, 0xe28fa6a2, 0xfa99c230,
+    0x50173095, 0x8e6fcdf0, 0x10ddd306, 0x9f2eb74b, 0xb6ea0f95, 0x204706d1, 0xa6189bfa, 0x5058389b,
+    0xee70a7a2, 0x69d2097b, 0xdab98e2f, 0xcebc3f01, 0x92981a8a, 0x7e1141ac, 0xcc450ebc, 0xc2087fa7,
+    0xb88d3aee, 0x1cce9012, 0x3fc6d728, 0x6ef17fdf, 0x97824c8b, 0x3fbf7b87, 0x58bbd584, 0x1a0ef1e2,
+    0x2a2b48e0, 0xf3ad4b47, 0xb1431d79, 0xe7c11903, 0x2a076f0c, 0x1c5b0300, 0x92d636ba, 0xb811f829,
+    0xc21b559c, 0x6f2e6061, 0x297e6832, 0x4e419db0, 0x8f437693, 0x85fdc2d1, 0x41779722, 0xc69263a5,
+    0x66400110, 0x5d3b1001, 0x2fcffb11, 0x7abee2de, 0x864a0acc, 0xe83904d5, 0x5f13b63a, 0xbc8251df,
+    0x737d8b30, 0xc62cab0d, 0x10c64978, 0xc8198a65, 0x63e91053, 0x6226f1aa, 0x032dffcb, 0xd70bf3a7,
+    0x08d57f39, 0x1bc8d431, 0xb9eed7c2, 0xd4d3b429, 0x3f9bcf48, 0x9276fa29, 0x8a4fc515, 0x75089d40,
+    0xa7fea4d9, 0xc101d431, 0x9df70abc, 0xac636c2c, 0xd26f5e7c, 0xbd6fc526, 0x56655430, 0x9bb97936,
+    0x5b311821, 0xf53eb113, 0x45c4df5b, 0x44ff0aac, 0xdc5ca8a0, 0x93ea8010, 0xb3910291, 0x5b34859a,
+    0x1182e27e, 0xc1f5a20a, 0xf033bb40, 0x724c3b80, 0x3cd0a14d, 0xaf14016e, 0xb0d8514a, 0xc7f6d952,
+    0xc6e64a62, 0x752fc39d, 0x472286c3, 0x072a2e02, 0xb89be2d3, 0x17afca26, 0x48c93369, 0xefba39d2,
+    0x2b03f466, 0x31f192ea, 0x54499f90, 0xeb1925e2, 0x81d707de, 0x093d3f6e, 0x40b32567, 0x7defc88c,
+    0x2d8898c4, 0x2743c047, 0x79d34525, 0x88bff4c3, 0x4a1346a1, 0xd1d56184, 0x0ee16de0, 0x741c36e8,
+    0xfd6c4d31, 0x1f139dad, 0xf429c9a8, 0xd87a1254, 0x33abde63, 0x4f2a7234, 0xa550af2b, 0x2ba7d2f8,
+    0x683b08c5, 0x4b15296a, 0xc5e8d386, 0x08cb7e1e, 0xdd998434, 0x37ea7fdc, 0xcc0719d3, 0x9b4a4709,
+    0xf854ead9, 0x79ab15f9, 0x423e5bdf, 0xf9b01a4c, 0x40771be4, 0x8f0b9706, 0xe2966bce, 0x5d902845,
+    0x13765cea, 0xa7770929, 0xe14ee7fc, 0x9a94cbba, 0x9ca91ef2, 0x52fe7548, 0x75cd2e51, 0x88ff6468,
+    0x6251d1a2, 0xe56979a1, 0x48f69c22, 0xb81221b8, 0x8f1f2044, 0x98e2b135, 0xaf7a9f41, 0x0a96c5a6,
+    0xeaf08d92, 0xf819febd, 0x549c9aca, 0xc2fb5ec0, 0x6a9514cc, 0xcc295fe8, 0x19bafc0c, 0x159b154d,
+    0x57ae6a16, 0x569b16a5, 0x1fa5d67e, 0x55bbfa56, 0xe39778ce, 0xd923716b, 0x0c2430e2, 0xe46a4b2c,
+    0xaaab65f4, 0x3fb2f4ac, 0x1b0b306b, 0x24cdded7, 0xa046e7cd, 0x6545105a, 0x76a9d92b, 0x1dc88f26,
+    0xf9eb71a5, 0x65287cac, 0xaa8f601d, 0xaa9f0350, 0x542fc9ea, 0xc2d07823, 0x0a3ae3a1, 0x64f17064,
+    0x58dc73e0, 0xa821d61c, 0xc828fc73, 0x646da451, 0x1f02ea09, 0x45cd705f, 0x85723ffd, 0xf9abb80c,
+    0x9f146d44, 0xfa52a369, 0x3b9b79ab, 0x78fb6b72, 0x72b37df8, 0xff3f8501, 0xcb18c0b5, 0x9ae92b0a,
+    0x8f541f31, 0x9fdf6b90, 0x7ea8c6f9, 0x60d48cd7, 0x2592c59a, 0xeeeb18a5, 0x274d02fb, 0x94502350,
+    0x96598287, 0x214ca16e, 0x4a8c78c9, 0xf22aba4d, 0xf10d0cd8, 0xed473002, 0xaef014dd, 0xe3f93d4f,
+    0xcf0fda65, 0x7346c861, 0x18380eea, 0x042f3ef9, 0x8ceb9d8b, 0x685fb834, 0xc36dd3ae, 0x0b67f91a,
+    0x5a60d137, 0x460fc7f6, 0xc6bc1864, 0x59fbe820, 0x4030a6b0, 0x63bb11f8, 0x57e471d1, 0x0574b154,
+    0x2df065ac, 0xeaf1e933, 0x378bc713, 0xd1dc7284, 0x3485eb4f, 0x62fd5b76, 0x1a898e9d, 0x316fee62,
+    0xb861f552, 0x8d0bddd2, 0x6d0a70cd, 0x7cad78e8, 0x835ed15a, 0xbd18f9cb, 0xe6a865d3, 0x9402edfe,
+    0x15eb8b7b, 0x8794f9f9, 0x19dc205e, 0x88d28ece, 0xcbfc5dd5, 0x06c34044, 0x5d5f0dce, 0x17e2a8b0,
+    0xadc28756, 0xc81c7dae, 0x13a618ff, 0xa4dbd960, 0xd16f49a9, 0x4dd81c76, 0x71b0b80e, 0x932943fb,
+    0x0b12f999, 0x8c327c2b, 0xaee51a9e, 0x310f7cdc, 0x7825a664, 0x56b33444, 0x1f6d2b97, 0xc164820f,
+    0x57bea333, 0xb8784b91, 0x7b4b1d38, 0x3da3326c, 0xe2c03903, 0x0da17ea0, 0x49c9a989, 0x860d2616,
+    0x59f68120, 0x0aacd68f, 0x5e2e7dee, 0x9406a13c, 0xbdd34f7b, 0x7bed2a65, 0x0250290b, 0xac8a9571,
+    0x5fc14224, 0x3741a61e, 0x189110d8, 0xae233e62, 0x4ae0fb1d, 0xed784139, 0xbf8540b9, 0x021f9331,
+    0xbf1c3906, 0xe8a974d2, 0x42526e22, 0xa5d425db, 0x730abe56, 0x229f347b, 0x64536284, 0x8e6db433,
+    0x81b5f2b9, 0xca680356, 0xc543663f, 0x09f10fc9, 0x4724843e, 0xbcf0488b, 0xbf61a22b, 0x45674947,
+    0xa481baab, 0x9451b368, 0xaedec3ac, 0x13b2e127, 0xd99c6fe6, 0x95df3cb0, 0x40925f13, 0x87492f76,
+    0x29375135, 0x862d9b9c, 0xabbbef80, 0xcc6bb69e, 0xd5787c71, 0x81ad2196, 0x113dc048, 0x7c4e55b5,
+    0x74dbd5d1, 0x5ab6b656, 0x31c2552e, 0x5a447a80, 0x0b3ab7d8, 0x326f232f, 0xa22ddff5, 0xde9e241c,
+    0xc12f69d2, 0xc24a8ae2, 0xb457f6e5, 0x24a3b0b0, 0x23a18e14, 0x5fb6efa3, 0x8d9af44b, 0x03b91981,
+    0x9f0371ad, 0x195db52b, 0x56422816, 0xdceeacb8, 0x40bf7abd, 0x4748065f, 0x143b079c, 0x6c2df34e,
+    0x143db97d, 0xda297726, 0x080d3c3d, 0x2f99e263, 0x7c4ff459, 0x25f65d0e, 0x5cd30f74, 0xa3cdb428,
+    0x60aaca94, 0xb21b3bc6, 0x30d58557, 0x51d1886a, 0x915f882b, 0x6bebb7c7, 0x4c106c52, 0xe2bca657,
+    0x00000000,
+    0x5ab300e8, 0x1b7fa9a3, 0x429ebca1, 0x1549c52f, 0x0c5c1db4, 0x021622ae, 0xa62f99af, 0x37f7d187,
+    0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000001905364105417475727161619402949930606536009608560163055944309667\
+                          74009505543198585212421026798308836130360530463953040948208494609331560382464 */
+  { 0x00000000,
+    0x87720c43, 0x4f3b58e7, 0x174aa301, 0x00850972, 0xe1ab1e25, 0x22224f5a, 0xfac74f34, 0x929c2607,
+    0xce70a594, 0x1f96823d, 0x46f507cc, 0xcb7b1c25, 0xcef3bbab, 0x4bfab6d5, 0xec8e54bb, 0xb5d58294,
+    0x6f02abdb, 0xae60d471, 0xdbdad769, 0x3c8cb986, 0xd8ff4eac, 0x6f7fb175, 0x6edb2890, 0x3943b035,
+    0xc1bcfc36, 0x4f6c4c48, 0x43e83674, 0xd6ef4a84, 0x0e2d5d2b, 0xfc5cf948, 0x922765df, 0x1dbd4424,
+    0x613929f1, 0x06adfd92, 0xcec153c5, 0x65d0d716, 0xe7fdb755, 0x556a6a7a, 0x05f87496, 0x2220ed1b,
+    0xf714c28d, 0x05797d0b, 0x285cf953, 0x88f31460, 0x9e73fa6c, 0x70dbdad4, 0xac2bcd15, 0x494663d9,
+    0x065d4f3c, 0x1ebe8894, 0xe90d852d, 0xd134a53a, 0x368e712f, 0xf2d5cb39, 0x17cda5a1, 0x640e5e64,
+    0x531cb6fb, 0xb8f0c31e, 0x8fde11e2, 0x8a0cb0c9, 0x21051b4d, 0x9370bb23, 0x4aac2509, 0xf352fb82,
+    0xf15c3b76, 0x3aa15775, 0x5ab22098, 0x5d114dfe, 0x64da1e44, 0x80d5dff2, 0xb6e79543, 0xfb50057b,
+    0xe81d5909, 0x5bd25f23, 0xe5ad8fe3, 0x8bd5ef28, 0xb4a92a20, 0x7fb3dd03, 0xb9070533, 0xd13212ae,
+    0xd645056d, 0xa4ba0746, 0xecd52203, 0xca1219c8, 0x8c876183, 0xddc45b4a, 0xe08d6a4d, 0x1993d75d,
+    0x64e6a845, 0xbd57e32d, 0x7c356b91, 0xd349509e, 0x821010b0, 0xefc0e6e5, 0xe9afa1d9, 0x169065d2,
+    0xe8ef8150, 0xaf69e4a5, 0xbb87956c, 0x17fbf5ce, 0x7ee4da64, 0xab37bdaf, 0x1ddd4fa5, 0x67c41f8d,
+    0xd644d84d, 0xf2a628a5, 0x4c249af6, 0x993a071b, 0x77b8bb89, 0x462723c3, 0x59a91200, 0x4ca2949d,
+    0x703285b8, 0x61469620, 0x9e46a4f0, 0x483446ca, 0x03e535a4, 0xf9d76e35, 0xda17d4b4, 0x127a9127,
+    0xefbd37d6, 0x595ace8e, 0xd067fd34, 0x5a88ebad, 0x3c6df46b, 0xb06da204, 0xe28d7a45, 0xb548a05b,
+    0x8a915fbd, 0xc0543032, 0x9b27baa2, 0xb334778e, 0xec33b621, 0x9bdbf4a0, 0x47336a23, 0x59f5865f,
+    0x6a4fe6d5, 0x36fdf5ad, 0xb6c5bfb7, 0xad095dfa, 0xc60eadc0, 0x04f1a48c, 0xdcc882d5, 0xec3b48db,
+    0x0027a921, 0xe31adbda, 0x37f9591e, 0xd0784de0, 0x36f8dbe2, 0xc3036f42, 0x9de90459, 0xec4857bf,
+    0x7728cd0c, 0x176bd7dc, 0xb32b6314, 0x45889ae2, 0xed527458, 0xe93b8f79, 0x99b040b2, 0x52ce3afb,
+    0x44d5e0a8, 0x1c73ef51, 0xf7368428, 0x1bab7216, 0xfbdfc483, 0x51d9173b, 0x949a9e77, 0xc35fe25c,
+    0x63b2367a, 0x30f6d675, 0x54f0e11d, 0x82f058ab, 0xa1907c0f, 0x1c9ffdc7, 0x86363941, 0x285837eb,
+    0x7df8aa08, 0x633f594f, 0xee126f52, 0xc111f09f, 0xb9bb5e8a, 0xa2d782fd, 0x6117c279, 0x8067441b,
+    0x233b9ca6, 0x591d2982, 0x3f23f9c3, 0x2e0670de, 0x2c8cddef, 0xa872f90f, 0xdb0770da, 0xde0c0b63,
+    0xc60639c3, 0x1f304aa5, 0x72d9074c, 0xb71ff116, 0x2eb25770, 0x5bd55fef, 0xa0eed947, 0xcb8299a3,
+    0x03719319, 0xb7407e3a, 0xf7c2dd8d, 0x7c9e0e38, 0x48875aee, 0x0216031a, 0xa95708ac, 0xe5402b15,
+    0x770bdd1a, 0xb60e172e, 0x81b4795b, 0x97bbfa8d, 0x6eeb078d, 0x421fd814, 0x99b0b846, 0xab9bca51,
+    0xcd5c90e8, 0xad42ad75, 0x5cf98cc5, 0x136ed257, 0xc4b013b3, 0x3030cbea, 0xf17e2e2b, 0x6636e903,
+    0x236b0ce7, 0x179489b3, 0x0116e880, 0xa855135c, 0xbbbc9209, 0xa79a6973, 0xa4ba0f6a, 0x6396b508,
+    0x416ea384, 0xd1babc55, 0x903bddec, 0xbe8ccb02, 0x835569f1, 0xae026b18, 0x324fd2ae, 0x877ef394,
+    0x90cd9638, 0x2d7cf797, 0xe26529c1, 0x4c36bffe, 0x320e8115, 0x9a8aa541, 0x2fbd8930, 0xaae30cd5,
+    0x7f29e163, 0x93a9ba97, 0x336e7193, 0x35caffb1, 0xdebf0166, 0x1c2ae08a, 0x824452d9, 0xd04af4f9,
+    0x242e8716, 0xa0905c19, 0xdd0f87b2, 0x091688d2, 0x60f4d704, 0x35c73c16, 0x95c6016e, 0x781be077,
+    0xd8456502, 0x707b3ba2, 0x40584d43, 0x32b53d71, 0xe4fa2cbd, 0x12c490da, 0xc72073e7, 0xce5dc0aa,
+    0x52e71627, 0x11ae03d6, 0xc3791e6a, 0x98d18045, 0x801106c4, 0x0bc60f8c, 0xc3c3a22e, 0xf5ffd911,
+    0x5b69deab, 0xa4bb4e6a, 0x3b63ed23, 0x0aeb62d0, 0x9a8264fc, 0x3a1c1d1c, 0xa76f4575, 0xdc8f4f64,
+    0x4ddc43da, 0xfe6c94cf, 0xaf60eb6c, 0x2fc85473, 0x3f96190b, 0x16953ce6, 0xcefdac15, 0xc2bf522e,
+    0xcc205d7b, 0x5424bbcf, 0x1ce77068, 0x7629e053, 0x18370f79, 0xb1cddb9d, 0xab4f83cf, 0xe378b6c0,
+    0xb091855f, 0x39568eb4, 0x4cf63450, 0xe018664b, 0x439731a5, 0xbf6efa5e, 0x11a3828e, 0xac64afec,
+    0x9c16194f, 0x821e0327, 0xdb0c22a2, 0xf878d145, 0x92849a2d, 0x56869c56, 0x5d5c71db, 0x06ef57fc,
+    0xfe968633, 0xf45a776d, 0xd72a7cf8, 0x983a2b4a, 0xcf7e9337, 0x2764e440, 0xded24581, 0x5068df83,
+    0x88326031, 0xfb8deac6, 0x34db10e7, 0xe72c9b82, 0x9fb524d7, 0x899c6861, 0x2c02bc39, 0x58a245cf,
+    0xe78365fc, 0x91e8e158, 0x6cb3af1c, 0x87180b52, 0x6bd00510, 0xc24ac442, 0x789737cc, 0x3c81254c,
+    0xa837e7e3, 0x39479776, 0xa0acaa82, 0xa19a131c, 0xc3c314d9, 0x4984da07, 0xece9c08d, 0xb2191799,
+    0xb2f92e83, 0x1d32db66, 0x32043057, 0x286aa867, 0x009ba199, 0x069a63fd, 0xe7646c9d, 0xb7ddceef,
+    0xa27eb648, 0x7403271a, 0x03304689, 0x131a619e, 0xc16aae20, 0xddefb01c, 0x6c67a204, 0x33f737b9,
+    0x95cfb0de, 0xffff6694, 0x8c7c0822, 0x8dd68033, 0x9a8feb84, 0x3ff0da3a, 0xb89bd63c, 0xe08441b9,
+    0x685bdb87, 0x0db0f58a, 0x075dd9ff, 0xf68fef8c, 0x2aa14494, 0x90048975, 0x49dc5f01, 0x918213eb,
+    0x197f5921, 0xd4e45ba6, 0xfd10a881, 0x6f0b2285, 0x817eb132, 0x3bce399a, 0x60d1e8a4, 0x25114b91,
+    0x8a57605f, 0xd5725352, 0xde758290, 0xe18bf480, 0x60cf811c, 0x41fb2036, 0x2b10d656, 0xd4b7e790,
+    0x3fbb6e62, 0xf90f8b38, 0x3895aeb1, 0x6adae48c, 0x2ce5cd42, 0x6b0f95a2, 0xf6820150, 0x61e10711,
+    0x8b96f58b, 0xa61ed3f8, 0xf420a830, 0xe7f4f848, 0x223354df, 0xd96bc8cf, 0xac7989dc, 0x6e4292af,
+    0x504a5134, 0xf15de420, 0xd5794e57, 0xa5f9be80, 0xd115217f, 0x42f08890, 0x8a077101, 0xccca2ff0,
+    0x7971fcb3, 0xed320b5f, 0xfac8c7a2, 0x97a353e7, 0xc650d099, 0xdd4c4c71, 0x79821b79, 0x2b57076b,
+    0x2a2b8b0b, 0x2b3d32b5, 0x1fa366df, 0xee8bfc98, 0xb6f1c747, 0xd359cefa, 0x9d735a6d, 0xa0d8382a,
+    0xe85a887f, 0xdd1dd366, 0xa10902f1, 0x5ed97148, 0xad959fd2, 0xb0172e1b, 0xa5c778b4, 0x6fdc0159,
+    0x06a8e2ad, 0x3bd394a1, 0x58a89f58, 0xf3e707b4, 0x3d654d04, 0x5f694867, 0xf90875fa, 0xc2ae1fad,
+    0xc8811b79, 0xa74e7391, 0xff7befbc, 0x77c8d789, 0x32321155, 0x622881a3, 0x38c1107a, 0x00592f56,
+    0x1df5b51e, 0x454d1d7e, 0x59815750, 0xb3a9708a, 0xb9fc5f76, 0xf6eb194f, 0x60c710b5, 0xe985a656,
+    0x4673da46, 0x801b8e10, 0x1eb439f6, 0xeb91a3eb, 0xea52582d, 0x3c32753b, 0xab5ed2f5, 0x20cb4a4d,
+    0x76edecba, 0x0755de61, 0x26b3149f, 0x2a35b0ca, 0xdabc0ab1, 0xad207c8f, 0xf8521dca, 0xc4c8757c,
+    0x9e40de03, 0x114d617e, 0xfa8bb75b, 0xa4f4cca7, 0x024a56d7, 0xad8e6630, 0xe7080b3f, 0x63fde6c4,
+    0x5b5c1dbf, 0x9c4192c1, 0x186981d5, 0xe0250e50, 0x4fc3521a, 0x72640339, 0xe9644935, 0xee772ade,
+    0x511e6972, 0x7696b631, 0x5df21a35, 0xbbd0a975, 0x737441bc, 0xa300897c, 0x3e9aa06b, 0x0960e183,
+    0x34c9216a, 0xe50603e0, 0x0a0a4d13, 0x636c437a, 0xd354281d, 0x97c536e9, 0xed0b1687, 0xe57c0f7c,
+    0x52b8d256, 0x79b403ee, 0x333e638d, 0x63e3ea51, 0xa11a3393, 0xa2dd1efc, 0x0c54b8d7, 0x47ad03c2,
+    0x84eb3145, 0x512ec801, 0xaf9df7d1, 0x5613db0f, 0x47debd99, 0x4125186e, 0xa790d8b0, 0x664eb8bb,
+    0xf1d28c82, 0x1ad20aa5, 0x6e7c7eab, 0xae550ec6, 0x793209d4, 0xa9373426, 0xd979d935, 0x9048a000,
+    0x9fe93218, 0x5fc9f632, 0xae2ed388, 0x0a08f44d, 0x4539616c, 0x456ad615, 0x3825b512, 0xf8a71371,
+    0x4830979f, 0xa23c40d3, 0x30fbe69f, 0xb6c852e8, 0xf91f2cab, 0x9640ccb7, 0x280ed1d5, 0xc99cd773,
+    0xd33f8299, 0x1e7432fe, 0xa7186954, 0x92338491, 0xbd01876a, 0xaaabf5d4, 0xd2daf06d, 0x1a145d11,
+    0xb34d0f4c, 0x0ee381c3, 0xb2df0b5f, 0x6cc0c0a8, 0x09bdf7fa, 0x6d301899, 0xa8467da2, 0x1cbbc913,
+    0x93a36c14, 0xb61d97cd, 0xf1ce649b, 0xcd065412, 0x63b6680a, 0x58bba7d7, 0xa37c685a, 0xf93b2488,
+    0x5566417c, 0xc78d2a3b, 0x6475b815, 0x2e452d09, 0xb0efc964, 0xd4a3e8ff, 0xc8fc433c, 0x8f19a12d,
+    0x38e653e1, 0x45a9a39f, 0xd3734928, 0x50360a23, 0x0dd60bcc, 0x581871a9, 0x5b6833ce, 0xba095f9b,
+    0x44c4ae68, 0xb8d982a0, 0x12bc88f7, 0x352ecb22, 0x685f36e0, 0x19b45843, 0xd57a437c, 0xb049c1ca,
+    0xde82e124, 0x3bcbcc89, 0x6017d6fe, 0x9a68dadc, 0x9bfa6341, 0xb8b247d4, 0xa4279e02, 0xfd6436ea,
+    0x0434be84, 0x739015a9, 0x5b295bcc, 0x3d8c07b0, 0x3803db61, 0xa185fc44, 0xb5f17903, 0x52480270,
+    0x06926843, 0x158cdde0, 0x5dcd7583, 0x4570c044, 0xd466ea5e, 0x312e2dc3, 0xf7cddc9f, 0x069237df,
+    0xc409c261, 0x8e4ffcea, 0xfbe20168, 0x4bf21ddd, 0x444f4b91, 0xec978c66, 0x1a85f5b8, 0x2b34e1c6,
+    0xdef5a049, 0xedae929b, 0x7fedcf62, 0xf9676ba5, 0x3a00649c, 0x9f8a7025, 0xb315aef3, 0x98b581c7,
+    0x3bf0d39a, 0x6372ad02, 0x2883344d, 0x13c46c11, 0x50cd4807, 0x8d49baf7, 0x23d0253d, 0xfba36260,
+    0xe816a03b, 0x534a086c, 0x6665fd60, 0xa21397a8, 0x89c18653, 0xaa9d1605, 0xaf3ad8d3, 0x529114fe,
+    0x113428b3, 0x222344c2, 0x337d12a3, 0x07d613d4, 0x8642e2c9, 0x4bd9e9f7, 0x2df7638e, 0xf2b5958f,
+    0x6725165a, 0x4a83026a, 0xa97779f7, 0xc2f53a46, 0x51651271, 0xbdf66835, 0x7899a55f, 0x6832f4c7,
+    0xeb5d7e65, 0x59ea6f60, 0xd842e25b, 0x71761a1c, 0xbe2fcca1, 0x59c76a33, 0x5ef802fd, 0x3f0f759b,
+    0xc529c5e2, 0x25f5d130, 0xa904ff83, 0x2939bce7, 0x3a69c30e, 0x44cdc095, 0xc280d5bc, 0x9aadc468,
+    0x4e94eb18, 0x49bf2670, 0xb7174fe2, 0x875995e7, 0x8985d9c2, 0x61d58823, 0x9bfecd4f, 0x91ecbbbd,
+    0xbbeb5c05, 0x6b9245e9, 0x1e6a7525, 0x6930c1c4, 0x70a25272, 0x3793e314, 0xe9acfb46, 0x7a679a30,
+    0xaa33e299, 0xfdc6b779, 0x7ebb20b1, 0xf3c8dd46, 0x092ddbb6, 0x02cebbd5, 0x7cc891ef, 0xedd48e30,
+    0x861e72d5, 0x9b7f7ca2, 0xcfad0a04, 0x6428f79c, 0x2ec6ed8e, 0xd4156c9a, 0xd98a72db, 0xf13950cd,
+    0xd732f0af, 0x1144c788, 0xebd6175c, 0x69eab871, 0xc1e9dab6, 0x50448357, 0x065968d1, 0x24f5b8ed,
+    0xfd525fbf, 0x9cbb0068, 0x2731e2dc, 0xcea22f7a, 0x38ebcc9e, 0xbe1549e8, 0x0fa962c4, 0x2a6286bb,
+    0x824f3f98, 0x8624d31b, 0x68c18884, 0x016dd965, 0xd9563903, 0xaa006102, 0x6205316c, 0x433091eb,
+    0x92d16da0, 0x4447d6a0, 0xea9bdde6, 0x89114b07, 0x742b027a, 0x07a7df41, 0xfdf6f7bf, 0x0e9c0aac,
+    0x130adf7a, 0x031257a7, 0xcf1e84f2, 0x80f4a9ef, 0xcae9b4f7, 0xc59172bb, 0x536a39c8, 0x23129f12,
+    0x3062c1d0, 0xd8332423, 0x709ccf90, 0xe5667174, 0x171077f1, 0x0ab06889, 0x7acc1d6a, 0x34d3be3a,
+    0xe1c250b4, 0x3427235a, 0x0cad814a, 0x76b1952b, 0x03ada92b, 0x65c116e6, 0x423afb79, 0xc7b7d3d2,
+    0x45571869, 0x1f90c373, 0x48f200d0, 0xd70cc7f7, 0x6239d662, 0x29587f00, 0x4e4e8b88, 0xf60f5dbe,
+    0x089314c7, 0x65c0f943, 0x0a4a9128, 0x1d6dcdf7, 0xf22819c5, 0x4a0cc3b7, 0xf6d6d6ca, 0x4533155b,
+    0xbe41b718, 0x753aac07, 0x6ac89fa3, 0x3531ff98, 0x7da74a01, 0xed8b9328, 0x7869402e, 0x80b71a7f,
+    0x7bc25c80, 0xf09374cc, 0x9bc98823, 0xd4ecea5b, 0x13b07662, 0x6cd40f35, 0xd90015c4, 0x71c25dfa,
+    0x0e9ed750, 0x013276b1, 0xec65269e, 0x47c305bd, 0xe50714ac, 0x29d9487e, 0x3ba0fea2, 0xbcf6af78,
+    0x7950b4ef, 0x7b2d9526, 0xc4a56b58, 0x964462fe, 0x59a4fd9e, 0x11cc6f8f, 0x03a6d50f, 0xf80ce19d,
+    0x25548764, 0xabbd0a06, 0xce669420, 0xe1ad9a96, 0x4f271e93, 0x2123b01b, 0xfebc6bd6, 0x77f1a202,
+    0xc23a5a59, 0x5c894734, 0x5213ab67, 0x0d95d34f, 0x18af650d, 0x2b8bd3a2, 0xe0271545, 0xd6158a13,
+    0xe13c23e7, 0xcf7d38b1, 0x10777ef9, 0x30c5c27c, 0xf866cb9f, 0xf32731d6, 0x50090597, 0x10ec5563,
+    0x3b078a7f, 0xe4297639, 0x5f33dfe9, 0xb93b7c70, 0x067deaf3, 0xc22cf055, 0x87ce6b7a, 0xe738110a,
+    0xe811fd59, 0x6708538f, 0x3f2633fe, 0x8d6461ae, 0xede29f0a, 0x6cba4db3, 0x49da3e72, 0x83fcdb23,
+    0x2c757073, 0xadb15bf8, 0xafd07ef1, 0x5af708f8, 0x8351bf88, 0x58d9fe92, 0xdd011042, 0xb4b79a15,
+    0x8e53122c, 0x51e6f9dd, 0x28749971, 0x810e83a4, 0x73e9d673, 0x687ab55b, 0x2da4561b, 0x8739be9c,
+    0x44bee187, 0x26f003b9, 0xad643617, 0xb9c495d3, 0xd8673356, 0x2cd73b8a, 0x2775f366, 0xcbce4952,
+    0x8b1895f9, 0x9945e7a7, 0xb24fc9bc, 0x3e7d1861, 0x0b159174, 0xed02e666, 0x5c1580df, 0x46bba6f8,
+    0x4d19b1ec, 0x6821b5f6, 0xb5e00ef8, 0x3c661dc1, 0x6118e50c, 0x5d0e38c7, 0x5155aa65, 0x0c41ff9d,
+    0x6f906908, 0x27011ab3, 0xb8e21d32, 0x3c705477, 0xe9ce69b9, 0x5d552c19, 0x8c613f2c, 0xc8d97677,
+    0xe39a85ce, 0x74866138, 0x97c33af9, 0xbcc8e497, 0xafdf42d8, 0x57005d4b, 0xcb86c5f8, 0x860d1b35,
+    0xe007b188, 0x2d8de61d, 0xe878da8f, 0x6d46e71e, 0x37ad22b0, 0xa000d429, 0xcbfa2522, 0x1b5f8f17,
+    0xc3f7b2a6, 0x296b5fda, 0xb3ae3e91, 0x0e1e3733, 0x456fbe5b, 0x11210798, 0xc86d28b4, 0x9dfd04e0,
+    0xc962f3dc, 0x84a6a7a7, 0x312a545f, 0xd2607237, 0xec70a4be, 0xe86bdc69, 0x3539f719, 0x2815a221,
+    0xc0487a79, 0xe8fb9057, 0x6e5f9d62, 0x1a094f25, 0x0cc1f96c, 0x9cc1d1c9, 0x5f6219de, 0xb203adcb,
+    0xb5bd0715, 0x2433ffcf, 0x111cd0b6, 0xa01a9962, 0x9f2344fb, 0xddf347df, 0xd4d5068e, 0x05a643e5,
+    0x36287b93, 0x0ffa37b3, 0xf4903542, 0x5a8c5be8, 0x1cc5fb69, 0xbe5eeeb6, 0xb2631d15, 0x440fbbed,
+    0x19c98cc8, 0x6db3b8a8, 0x5f36ccf2, 0x963f1d37, 0x31a47f52, 0x23c6ddbf, 0x996e19e1, 0x3b25d8da,
+    0x0d028006, 0x2d1aa9af, 0x226f22f7, 0x8330198b, 0xdad8e5a2, 0x932c290f, 0x1b5c3747, 0x9a8fa278,
+    0xe7824637, 0x11e7dc51, 0xa8a3ae28, 0xb8491cd7, 0xb8d1f644, 0xa1136a57, 0x1a8ce558, 0x59759039,
+    0x52ca52d0, 0xd906b3cb, 0xa1cb261c, 0x166d608d, 0x5688fd61, 0x8a011357, 0x3fc0033e, 0xf0ecb0cd,
+    0x00000000,
+    0xad598073, 0x8dbfd4d1, 0xa14f5e50, 0x0aa4e297, 0x062e0eda, 0x810b1157, 0xd317ccd7, 0x9bfbe8c3,
+    0x958b724a, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000952682052708737863580809701474965303268004804280081527972154833\
+                          87004752771599292606210513399154418065180265231976520474104247304665780191232 */
+  { 0x00000000,
+    0xfe0d95be, 0x776c6f76, 0xb5963186, 0xa1499bf7, 0x14bfa59d, 0xb77aee51, 0x1c63a311, 0x1310f396,
+    0x5d1cdbae, 0xddf46a10, 0x0d113e2a, 0xb6815260, 0xc003cf6f, 0xa43bdd8f, 0x8c06c10c, 0x420532a5,
+    0x1cb7b968, 0x60a90c31, 0x6fa61432, 0xc7b19d3f, 0xe9be401f, 0xfbf2ab4d, 0xb5a32aa4, 0x2efade34,
+    0xb73cb3de, 0xe4fea7bf, 0x02b5bc40, 0xb9a12a48, 0x3448230d, 0x6537a621, 0x50e1efd4, 0xe3af39c9,
+    0xdc684e43, 0x7613bbd5, 0x3c95e6ff, 0x68100823, 0x47308b94, 0x783f63ab, 0x8d190935, 0xb195c6e3,
+    0xdd1b87b1, 0x4661cdad, 0xeb1fc2dd, 0x3dfae582, 0xaf30ecfc, 0x04309e93, 0x2e28bb83, 0xeb527b96,
+    0xb3e3e469, 0x3866976e, 0xf004b913, 0x12629ac6, 0xbec953ca, 0xb949fdb9, 0x16232c47, 0xc5a5a9c5,
+    0xf58674f9, 0x4c0c7263, 0xbf741b2e, 0x42a35e81, 0xd4cd7ceb, 0x01b47026, 0x209c7fa6, 0xc479b0ce,
+    0x15e12799, 0x728c797c, 0xe7420634, 0xf83d084a, 0xa33945df, 0x740c5820, 0x74a3d981, 0x98e4ed21,
+    0x87d450eb, 0x1126c353, 0x4759e9a5, 0x32a6daf5, 0x7e405ab3, 0x0aacdf44, 0xbb97aa48, 0xaa9bb523,
+    0xbcf7f0aa, 0xd63f4b78, 0x5515dad4, 0xc9a8479c, 0x853aa52a, 0xe34f199c, 0xfd869d00, 0x45728fed,
+    0x04dc5aac, 0x5db4ad7f, 0xe75bb0ca, 0xebfca8ad, 0x57f49e8a, 0x8f5ec53a, 0x5f18b319, 0x85730249,
+    0x9ab910d2, 0x50e3bba5, 0xff7652f6, 0x3bd2ddd0, 0x69832577, 0x3d781f42, 0x7df3e6e1, 0xc7b6e7cc,
+    0xbae60ec2, 0xe73b43a4, 0xd31c857d, 0x9b76730d, 0xb4221cc6, 0x418aa382, 0xe0466163, 0xd30964cc,
+    0xee234961, 0x933a477a, 0x7d1594e5, 0x370e7d6f, 0x6d20a3a5, 0x19f5d7b8, 0x6cbd1074, 0x60883e31,
+    0x258a4f92, 0x37bcbc00, 0x70ea5c56, 0x7d2369f4, 0x80fb8414, 0xcf17ba15, 0x1f0bddbd, 0xa3037f28,
+    0x4e85b54e, 0xe935d87a, 0x16574fe7, 0x7a28298f, 0xc6174d22, 0x3653e4ee, 0x5d24b6df, 0x79d204f8,
+    0xc7652273, 0x4214e4ef, 0x0b7557bb, 0x0b117647, 0x7c690df2, 0x08062766, 0x1316ba6f, 0xfbf90a94,
+    0x500b916a, 0x61d8a138, 0x21a1db6c, 0x43666d9b, 0x56d0fca2, 0x33661456, 0x87a972de, 0xe842834e,
+    0x564e04d4, 0x4e8f5601, 0x50c8d0c6, 0x27e06dfe, 0x55d5b39f, 0x93acee25, 0x3195e0e5, 0x36583da4,
+    0xc68d5e67, 0x92bdb436, 0x3d812358, 0x6ba854bb, 0x969871eb, 0xadd04c5c, 0xd17a7366, 0xe1ae8ad2,
+    0xf1b91a39, 0x70dc6bba, 0xab50b33a, 0x9c1b390b, 0x126934e6, 0x8b04ed97, 0x1671f276, 0x1787b7aa,
+    0xad4a3282, 0xbbcab7c8, 0x85795cf5, 0x8f30e1c0, 0x96efe205, 0x5742ec1a, 0x92589c57, 0xc0548c02,
+    0x3d02cf88, 0x7167e047, 0xd1b21bff, 0x6b5a5443, 0x96eface9, 0x3ed61323, 0x56805a2a, 0xf0d843fa,
+    0xbdfe7d82, 0x1dee5078, 0x7e904fc4, 0xeb01e4c0, 0xf56e5dfd, 0x77a43c6e, 0x10547471, 0x18768e04,
+    0xcf4c4cad, 0x3b8371d6, 0xcf05e711, 0x991827f9, 0xd63ae8d5, 0xa9a4b5db, 0xcdac6433, 0x38ec0d6b,
+    0xda829e45, 0xd7cfbb58, 0x7a6aee35, 0x8fdc4ed8, 0x0384be08, 0x66554617, 0xdc3d3084, 0x13bc273f,
+    0xd8f84e80, 0x4874e306, 0x2d4f2757, 0x3f5d4fb9, 0x9faa54af, 0x728cb079, 0xcf3e1f2a, 0x0e7f8fa6,
+    0xe956bfde, 0x7f8a384d, 0x18ece01b, 0xd541db42, 0xd770429c, 0x8f0b17de, 0x1eb2698a, 0xe24abe71,
+    0x843237b2, 0xdad33fd7, 0x70cc2e4d, 0x1f399e7a, 0x4294f30c, 0xcb7a6806, 0x1d9eaf72, 0xdeed7fa8,
+    0x3dd4acc8, 0x2bf3b50f, 0x3df8ab24, 0x8183466b, 0xb229a28d, 0xafb6f72f, 0x0f0936c0, 0xf9280555,
+    0xcf35a6a9, 0x6ecc4de7, 0x27cf3625, 0xabaa95f7, 0x6d185022, 0xdf1eb7ea, 0x8afa2397, 0x124ad7b7,
+    0x646918b0, 0x3d315e5d, 0x98124fef, 0x9f9e6ec8, 0x2a4e4b9b, 0x5299b8d8, 0x8d4e4207, 0xbb7e349c,
+    0xe4d029fd, 0x9304666b, 0xa4635e71, 0x0e3b61fe, 0x5ac4d375, 0x7565ef62, 0x1bbf1dea, 0xaee4538f,
+    0x08b30766, 0xbbc7b1d3, 0xc6a65bef, 0x7c5a550d, 0x57b8777a, 0x277de6b8, 0x77d36efd, 0xf4b56155,
+    0x8debb1e6, 0x81b415f9, 0xb05ac578, 0xce3bc273, 0x5ce2dad2, 0xbd5921ed, 0x0eeadb94, 0x76a4e2a5,
+    0xa45ff211, 0xe275c0b1, 0x54b341c3, 0xf0d27568, 0x57031568, 0x417b3cb3, 0x211e5b16, 0xeeeb0434,
+    0xbb395156, 0x03566f57, 0x3ebc5d65, 0x33e716b3, 0x37953cbc, 0xb18a3f48, 0x51566b38, 0xfe8d4c4f,
+    0x44330997, 0xaad6a411, 0x96a73123, 0xfb1cd456, 0xaaa22b98, 0x210546b0, 0xb7440163, 0x243008d2,
+    0x3a2903b0, 0x366af595, 0x2c0458fd, 0x3a0d81dc, 0xb4f2dc19, 0xe372590f, 0x28a647fc, 0xbb2eb735,
+    0x104bed5d, 0x3762e339, 0xf4af7241, 0xc88db2fa, 0x1d3b1ffc, 0x9f8f6177, 0x0c542e35, 0x61428460,
+    0xcfef7de3, 0x94b91431, 0xdafe6308, 0xa4ade66d, 0x6f5c72c3, 0xb0975213, 0x922d12a4, 0xa5f51612,
+    0x1bf761d1, 0x0dbbe299, 0x9e66c3bd, 0x7259eca7, 0x7e22c423, 0xa2c4069f, 0xbc9c006c, 0x1622da31,
+    0x1c8da817, 0x705724e0, 0x7b18b029, 0x4828b183, 0x2e99e9b8, 0xe77c0626, 0x5aba625b, 0x31e077fd,
+    0x49130dbb, 0xcd486a40, 0xc773a1f1, 0x2555df03, 0xb52f34f1, 0x33aa4f17, 0xd126f458, 0xf940c7a7,
+    0xe8ad2ad7, 0x9fcf3335, 0x1006a686, 0x3754ca09, 0x6774f17e, 0x17e789e5, 0xf7d6be91, 0xc5340d48,
+    0xa252fb67, 0xfdb3b748, 0xb7020f06, 0xb791812a, 0x57a1753d, 0xe7eced57, 0xa4e79f1c, 0x1904710a,
+    0xf7f21449, 0x1d1d7310, 0x0f877a0f, 0xafbb7128, 0x3bc3df30, 0x6f491c52, 0x84bcfa92, 0x9b1a5354,
+    0x3659fee6, 0x7e85cc74, 0x1ed9eaa3, 0xe89b44ec, 0x8bf3d7d5, 0x9840f93c, 0xaca39f7e, 0x9b8fcf60,
+    0x7d389105, 0xd2334ae5, 0x59ed45c8, 0x36a602ff, 0x68db85b3, 0xd02bd292, 0xf8fa29ca, 0x56a6c123,
+    0x66539972, 0xc4ed202d, 0x39936b41, 0x81b37430, 0xd6920139, 0x2c2be855, 0x9a88f9ea, 0x3837db4b,
+    0xa85f96c3, 0x88211520, 0x4a98b727, 0x2ded7057, 0x6f08af98, 0xb307bb88, 0x2103291c, 0x4901c3dc,
+    0xd9a59d9f, 0x474468c6, 0x750f35e9, 0x6f14a429, 0x187f6d4c, 0x1b38c45c, 0x02c284cd, 0xd773447a,
+    0xe7b44fe8, 0xf55fa46a, 0x7c75a8a6, 0xfb78059b, 0xf9c7f176, 0x87766dc9, 0x61c5770b, 0xe599938b,
+    0x43bbca99, 0x88a5a908, 0x200c24b9, 0xc3afead7, 0xb210742b, 0x3596cb88, 0x3618c4aa, 0xcaf61ef7,
+    0xe09be0c2, 0x5c35568b, 0x4ff9eaf3, 0x9fd5f764, 0x905cff5a, 0x708d816c, 0x1797d724, 0xbf0a0040,
+    0x5812e9be, 0x3a460e66, 0x1e2ab23a, 0x09506ca2, 0x1bd5152d, 0x6eb21df4, 0x78c04a48, 0x0c9d518d,
+    0xc430634d, 0x23570bbe, 0x23a02c2a, 0x5b04669d, 0x8bab97d3, 0x32e59103, 0x105ccf47, 0xbf2b25d0,
+    0x2623382e, 0xc2d689b8, 0xed903931, 0xa3de7635, 0x48a5e1a2, 0x9af1b9ba, 0x7845d45e, 0x22ad36e3,
+    0x73df8364, 0xc7061857, 0xc97cb1cf, 0x646f1ca4, 0x5ee8cb5d, 0xf9fa6f79, 0x91b03005, 0x276ca385,
+    0x609b404a, 0x6d4ecdb9, 0x746d5d87, 0x7df1e89f, 0x6e848f35, 0x9493d810, 0xfaa5ef90, 0x488c5d5c,
+    0x23b11672, 0xf5f93b82, 0x11cdb668, 0x9a20e50c, 0x078255eb, 0x0439413c, 0x616abf35, 0x8ed5301f,
+    0x3f81f6ed, 0xa38f9e18, 0x82c04fcb, 0x6d1f5f8f, 0x03ab89d7, 0x1ff7a6a1, 0xe252b215, 0x65d04fe6,
+    0xbccd339f, 0x51f50eaa, 0xf0b45a5c, 0x681f9820, 0x6cd71e37, 0x707b42df, 0xb6e534db, 0xacb91954,
+    0x8c752b34, 0xbbc9bd3a, 0xe275e39e, 0xfd8eefa3, 0x6887bccc, 0x7d89b83a, 0x34e19c0a, 0x42f246cc,
+    0x3e10ecc1, 0x0ce131a6, 0x45e06ea0, 0x2815ed1d, 0x7352b693, 0xeba1fa08, 0xf2dd2fba, 0x706b6866,
+    0x2e511f1c, 0x9ca184ba, 0xa13d5737, 0xbc26fbbf, 0xc9d1aac1, 0xf266ec08, 0xc6d19b28, 0x3599c9d0,
+    0x42afcfe7, 0x02bc5fd7, 0xae531160, 0x256e9d2a, 0x3f7bf4ae, 0x100f8708, 0x83ae3b33, 0xb927fdd8,
+    0x79a83b79, 0x1d7c913f, 0xfa4c83a4, 0x0932f359, 0x556c0a23, 0xb7be8112, 0xaa48011d, 0x588792dc,
+    0x9cfee4e2, 0x63b309f8, 0xf898ead5, 0xd885e41a, 0x0b8fd6f0, 0x046adeb7, 0xce49a447, 0x78bf8520,
+    0xd9164213, 0x45346330, 0xf69448da, 0x54be8684, 0x5d4e3457, 0x197c8780, 0xb8d8f4e3, 0xc7acd1d6,
+    0x77414dac, 0xab2e5f75, 0x6996ea87, 0x1eab5572, 0xfd870c1f, 0xae9ff65c, 0x613cf2ad, 0xf2d6a563,
+    0xbd09ecd9, 0x123c4e89, 0x6110a4d3, 0xc1a4fa27, 0xe5e6873f, 0x587f5a60, 0xd84d0ce0, 0xcdfa7296,
+    0xaaf92161, 0xd17b4fa6, 0xda9bb55d, 0x7c06212c, 0x23aab34b, 0x403f836e, 0x8db55b1e, 0xbffac1d0,
+    0xd74a7fcc, 0x2e5020b4, 0x433c53a6, 0xe1064877, 0x53738792, 0xce8749a3, 0x603f60ad, 0x7afd5bda,
+    0x8080ebb0, 0xcc9b6ccb, 0x02df2381, 0x1cc72cd2, 0x8b93c3cd, 0x1e9c3bd9, 0xd910ad11, 0xa113f6c0,
+    0x089fdd4f, 0xd769af91, 0xe1487350, 0xa2e9e176, 0xde9c28b0, 0x68749bcb, 0x4a87d06c, 0x14c51a73,
+    0x8da0ebf3, 0x1e6d0fdc, 0xcc4d8dbc, 0x82db69fd, 0x4e348e50, 0xb3af1daf, 0x404e2d15, 0x3cf046ff,
+    0x73df6224, 0x25e1f745, 0xd4c2bfd9, 0x2f0158b9, 0xda71448b, 0xe6f54fdb, 0x1dab8c20, 0x57bd2280,
+    0x1909e599, 0x68fdbc61, 0x3988debb, 0x0d27cfa3, 0x43dbfd5b, 0x8efb0803, 0x726dfac0, 0x704c0cc4,
+    0x087dfe9c, 0x8fa355aa, 0x6d2ca748, 0x40eb8d28, 0x3afc2cf9, 0x74a0b088, 0x429225d5, 0xf4426c86,
+    0x84464bb2, 0x0291100a, 0xe5252ca6, 0xb07b085e, 0xdb01a184, 0x7c61f41c, 0x308db907, 0x5e4e7a11,
+    0x72ced6af, 0x2de89c94, 0x08ccbc01, 0x8e33f0e9, 0x71608a11, 0xac2c6f7d, 0x9bcb3fbe, 0x5e9d7f2e,
+    0x04cac81f, 0xd78b255f, 0xf605ac4b, 0xe0998f74, 0x5563df55, 0x1469b63a, 0x9be2d25f, 0x8d6a549a,
+    0xa82a7b46, 0x8de2a94e, 0x13de2e1c, 0xff366c91, 0xc747374a, 0x7f544389, 0x5eb6f746, 0x20d04e37,
+    0x95ed2678, 0x30ecf40a, 0xd9921b32, 0xa0b64261, 0xa5b032d4, 0xc8c9e477, 0x2cfc6581, 0x7971b3ef,
+    0xb57b6868, 0x1e90cc7d, 0xa6ba1858, 0x3ba52287, 0x2ef0791c, 0x3734d15b, 0x165bad23, 0x79d98afe,
+    0x9a87a443, 0x3e2d8087, 0x171193de, 0x357903ae, 0x5d04116f, 0x6504da6d, 0x6ac7a8de, 0x59520c5b,
+    0x7fd1b47c, 0x43627527, 0x00c1ff42, 0x60105fef, 0xcd5dc0b1, 0x57c04a6b, 0xd117fa7c, 0x85a42963,
+    0x225334e6, 0xe921ff7a, 0x7ddc073f, 0xaf78bb1a, 0x714492d1, 0xa1aa561f, 0xb927fdbe, 0x8297b0d5,
+    0xf13b824a, 0xed625f7d, 0x0c6ee094, 0xfe07af63, 0xf913fefd, 0x23cfb86b, 0x97c9fba4, 0x260581bc,
+    0xc839ad94, 0xea1b72d1, 0x5e325a14, 0xcc61af0c, 0xa28c418c, 0x29bb015f, 0x1f518a2e, 0x983cbc5a,
+    0x4a4d5781, 0x7951a863, 0xac5f39d4, 0xe9fdf4e3, 0xbf1d6ff2, 0xa5c8bd0d, 0x80e263c7, 0xba9d93eb,
+    0xe65214ef, 0x7e56ba6b, 0xad506484, 0xd660dbd9, 0x9f568075, 0x4b69e73a, 0xda2e199d, 0x25ff0d82,
+    0xc75bfb4b, 0xc2cfac3f, 0x69097adc, 0x20b94be7, 0x78fcc6d1, 0x188297be, 0x839ef0af, 0xcf871fe4,
+    0xe31cfd82, 0xb43e28a6, 0x6072ad05, 0xcea3067d, 0x464c2e6d, 0x7174adb2, 0x646f5b5c, 0xb8f0a803,
+    0xd922da8a, 0xbd65480c, 0x7877f892, 0x6f7cb596, 0x40934fa3, 0x95f20890, 0xc6026ee2, 0xc53b8cec,
+    0x06dfedb0, 0x722212d3, 0x62a1d780, 0x28f16b9a, 0xdc7cef0f, 0x1d5851c5, 0xc7efb590, 0x880cae70,
+    0x2fd9ab86, 0xcbd0f8bf, 0x747f424a, 0x1e1803eb, 0xf1bce203, 0x5baae89d, 0x3915cf2c, 0x1a62a355,
+    0xe6d4b685, 0x918072ba, 0x1e54ae47, 0xab1243ea, 0x0a9deabf, 0x803bf2e0, 0x4d517309, 0xf0ad0dc7,
+    0x62c70fcf, 0x11715fbb, 0x6e8e1e40, 0xcf5c9e77, 0x2848c1ea, 0x8ef12022, 0x0b2a00b6, 0x30e48f3e,
+    0xf12076b6, 0x395c93f4, 0x5b449297, 0x5da5f527, 0xc8f3a0ab, 0x32abeb13, 0xdabf3896, 0xb9caa5f9,
+    0xe4a7c456, 0x65bf6cab, 0x0164348c, 0x5b3beff6, 0x0591e1bb, 0xe608183b, 0x507591b2, 0xf404004e,
+    0x14203da2, 0xcd27bae5, 0x646dba08, 0xe4542904, 0xc4484d32, 0x6364f87b, 0x801ae451, 0x280a84c6,
+    0x4bd0ead7, 0x0164f1d2, 0x87c09e87, 0x71d117c8, 0x4cb79521, 0xb5f957f3, 0x28854070, 0x5d04e760,
+    0x2c18ccf5, 0x222ba53c, 0xb8305446, 0x4dba5605, 0xa3a46066, 0x51f3cb35, 0x16589193, 0x28317b58,
+    0x49a478c3, 0x80e607a0, 0xfb846c29, 0xab66d1eb, 0xeea87a4e, 0xed685c92, 0xa85a2605, 0x285a50a1,
+    0x2930a82f, 0x6ddea006, 0x768dbaa5, 0xe143e5e8, 0x4d7876c7, 0x56633427, 0x28a4fe61, 0x0f9d8569,
+    0x89800dec, 0x4484e513, 0x761f0580, 0x0eecfd5c, 0xe04b97a9, 0xfa3a8781, 0xde32ae06, 0xb30164e5,
+    0xa3d24d08, 0x88041aa1, 0x7d4acc75, 0x04cfdd1d, 0x3cd0be53, 0xbebdced5, 0xb7aefca1, 0x3f4cc3fd,
+    0x94f05963, 0x0ba1acfe, 0x2622bf8a, 0xe4c40842, 0xad404e65, 0xea741c98, 0xe3e7fbed, 0xeff2ddca,
+    0x6845ab71, 0x71ecfba8, 0xdcb918a8, 0xbf4a8660, 0xa6521eb3, 0x842d9d5d, 0x71d00746, 0x97070e1c,
+    0xab98db39, 0x97e73b70, 0xef3e1b57, 0x6643f195, 0xf3efb0c7, 0xb253754b, 0x624d1adb, 0xf0456dc0,
+    0x6b207646, 0x6c1f6af6, 0x0934b740, 0x31d07c07, 0x016f654d, 0xe71c5688, 0x095786fb, 0x63992812,
+    0xfc59558e, 0xd5cb852b, 0x0195865b, 0xdd76e68b, 0x574e2c6b, 0x3196ced3, 0x0c0381da, 0xd460da6d,
+    0x09fee1fd, 0x602dc987, 0x1dde3ae1, 0x690a8db0, 0x4515f91e, 0xbadc6791, 0xa9cf1baa, 0x52fe4a44,
+    0xbd250d3d, 0x9c6cc067, 0x73622018, 0xc8fb302c, 0x91014449, 0x96ef2c51, 0x0042dfbf, 0xf6546080,
+    0x86dae7d5, 0x7ebe3836, 0x7bfea90b, 0x6f844e30, 0xb1dd4f96, 0xb1a72127, 0x546e082a, 0x3a22ffb9,
+    0x6170fb1a, 0xb19c8bf7, 0xc81abc9c, 0xa209f2bc, 0xef365ce5, 0xed28d9e9, 0xac887593, 0xcc05c4a6,
+    0x9eebe6e1, 0xe5622b4a, 0x5f7086db, 0xea7f37f6, 0x2d763206, 0xaa2e4e87, 0xa8e400ea, 0x1ffec2e1,
+    0xbb4962c7, 0xfb866a12, 0x8ab913a9, 0x093e8300, 0xd253f65a, 0x5e3de7df, 0xb4cbd3ea, 0x34a79cc8,
+    0xe8138185, 0xc3237260, 0xe7aaf13e, 0x292b2c3a, 0x914be15a, 0x61402fff, 0xd903f6f2, 0xbf092dc0,
+    0xdbfd9a59, 0x753b6e82, 0xabc77058, 0x3bbc712c, 0x8d33f9be, 0x231320b3, 0x78db0337, 0x230fdd23,
+    0x1663c562, 0x42170978, 0x9e7ce0f0, 0x75c04547, 0xe2189971, 0x08379f7d, 0x08bf5e13, 0x112edaca,
+    0xb6b608c7, 0xd7fa4414, 0x3b877aa2, 0x611daf49, 0x87ccab81, 0xd56f36f9, 0x9da34f9b, 0xb7ecfcea,
+    0xf74b793d, 0xeffeef37, 0xe4ae7620, 0x45eadafc, 0xb48338e4, 0x64f33251, 0x05b80de1, 0xaf9bc6aa,
+    0x00000000,
+    0xd6acc039, 0x46dfea68, 0xd0a7af28, 0x0552714b, 0x8317076d, 0xc08588ab, 0xe98be66b, 0x4dfdf461,
+    0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000476341026354368931790404850737482651634002402140040763986077416\
+                          93502376385799646303105256699577209032590132615988260237052123652332890095616 */
+  { 0x00000000,
+    0xdf8d4ee2, 0xd044b04c, 0x8c33f780, 0xd81945e8, 0xfe8f1d94, 0x1d14722a, 0x6863637f, 0x6140442d,
+    0x559f1538, 0x75749ab1, 0x7c7945c2, 0x985326a0, 0x083e1e39, 0xa31d8a30, 0xb5045679, 0x68fbb8f9,
+    0x9df4ec41, 0x5f502e31, 0xb6ffab6a, 0x37d907c4, 0x0fb4eeba, 0x2d698e5e, 0x5d810664, 0x6a2bed9f,
+    0x2ec57e9e, 0xd7b31e00, 0x2014ad3b, 0x759d7944, 0x93e6776e, 0x45514af1, 0x4c5dc558, 0x3c42a9ab,
+    0xc08ade75, 0xab81742a, 0x4040b200, 0x5e0af874, 0x075fb0ba, 0x3b0922e8, 0x442264e2, 0xc0c72a4c,
+    0xd48f71fd, 0x3db63f21, 0x3a08b44d, 0x8fb151b7, 0x962bbc96, 0xaa6169b0, 0x6c40f2e3, 0x38a57ce2,
+    0xf44f6d14, 0xc0b59c93, 0xd3768d1f, 0x4a50f73e, 0x96d7a159, 0x628ab335, 0x16721f21, 0x368c6e39,
+    0xe636d875, 0xe61307cc, 0xcda09751, 0xc4479f46, 0x807f50f5, 0xd9e5e817, 0x9b77d287, 0xfa66a504,
+    0x41088d5a, 0x572af1f5, 0xc391c6a4, 0x96ac34f8, 0xeea39120, 0x356a3b5e, 0x72e4dc36, 0x50110e16,
+    0xa2529399, 0x5527e9f0, 0x0419f44a, 0x4639defc, 0xd1300cdc, 0x0ada0047, 0x84d0cdd6, 0x8a403620,
+    0x5b78bac5, 0x94472acf, 0x4077dbe2, 0x257f7118, 0x68e8ca41, 0x8ad93abf, 0x6e616242, 0x53d55861,
+    0x59b27c1c, 0x25c2b82e, 0x0a70f1a9, 0x8a55eab7, 0xbdf00be1, 0x799f8974, 0x90d74f70, 0x4c491df0,
+    0x89c69936, 0x224c4f85, 0x99da0366, 0xd210abcd, 0x7321ad0e, 0xed3f6c47, 0x917c33bd, 0x999880bf,
+    0xcb28e5da, 0x44b14448, 0x247bda4e, 0xf8ec4cc2, 0x953c2ad4, 0x46423090, 0x1a25beb3, 0xc9e642ad,
+    0x830fe3bc, 0xf5c18d75, 0xbd82630d, 0x55d90b24, 0x3b2932f2, 0x7ee4e7aa, 0x935b9192, 0x5f429e99,
+    0xca90fa03, 0xd6d91a51, 0xc07a4730, 0xc5aac9e4, 0x798904ee, 0x3ae2cfd4, 0x4947e54c, 0xf85e2745,
+    0x8ec1c9ee, 0xc1759db7, 0xceb0f722, 0xd2b5ef58, 0xfd476585, 0x5f950be5, 0x150a7839, 0xa90ca18d,
+    0x457e5da9, 0x98b455d7, 0x09b47071, 0xa61d7246, 0xfa3f69a7, 0xa9dd3c3e, 0xbeddec04, 0x560cb5d7,
+    0xd4d007c0, 0x9ebe1f0c, 0x52f3e9ce, 0x0809457c, 0xcff62a37, 0x9c431174, 0xcd5e75e9, 0x24a782c2,
+    0x60091a56, 0x4416f9a0, 0x2ce94df6, 0x4e7e2455, 0xc436953c, 0x75992fec, 0xebc75cf2, 0xd357316d,
+    0xa99adac8, 0x738ba320, 0xeca5ecd7, 0xc37c4b16, 0x896a9cf6, 0xde727a23, 0x689b6fc3, 0x3e239bd1,
+    0x5182b451, 0x68e4515f, 0x3d5426c6, 0x78299406, 0x9e8e4d77, 0x6d678359, 0x0e1cb911, 0xf6b754cf,
+    0x29610a75, 0x47f7f719, 0xbe0c2427, 0x84155c97, 0xebe56f3d, 0x54575bd9, 0xf140de37, 0x196434d1,
+    0x9da3a504, 0x51c06787, 0xce2734aa, 0x1627ce5f, 0x20e0144d, 0x481b87b0, 0x8044eaec, 0x4fa5fa3e,
+    0x4c7e67f2, 0xdbea86b4, 0x90b698ff, 0xcef925c2, 0x09f9cab6, 0x503e608e, 0xefed6d4a, 0x193d92b1,
+    0x72ef65d2, 0x8d2c0869, 0xa103d3e0, 0x1b33580c, 0x97c36f53, 0xd69b08ae, 0x9312107f, 0xba93a5ce,
+    0xefc42077, 0xed9dbf6d, 0x33cbd423, 0xa20ceb89, 0xebf75c73, 0x05c470b7, 0x8fe92709, 0x4690d8c1,
+    0xd60db61b, 0x6a1345b9, 0xd261e230, 0x9692fdb2, 0x74f967a3, 0xf67454bd, 0xfa6cd980, 0xfbb2abc6,
+    0x65c407c8, 0x16ec6974, 0x17ca3aa5, 0x75cb758e, 0x93bb40f2, 0xa022af15, 0xead25dc5, 0xd31f8848,
+    0xe948f951, 0x40034c2c, 0xabf85c50, 0xac63a6ea, 0xa4be86ff, 0x04d9e0b7, 0x156a0aa9, 0x671a82dc,
+    0xd72f9025, 0xe3707e1d, 0xc4544484, 0x4332c97f, 0x715eefe8, 0x53cf6f87, 0xff3de755, 0xcbef11f0,
+    0xb67b0a2a, 0x9281730b, 0x9286d9a7, 0x2206fa64, 0x85856dfd, 0x56666173, 0x5802a62d, 0xd29a6f63,
+    0x170fd6c7, 0x3247517e, 0x582c33f1, 0x404b2a38, 0x4eb660f7, 0xedf19287, 0x9ae252dc, 0xe157fd81,
+    0xddd9ab1a, 0x13770393, 0x6a6ae7da, 0x02234300, 0xcc65d7a4, 0x8cda3f2f, 0xc4f80b34, 0x343dc0a1,
+    0xf1e64162, 0x84af0afe, 0x1e853f22, 0xa36aabb7, 0x3baba857, 0x0859fb24, 0x465025c1, 0xa9242398,
+    0x033df597, 0x54e40b32, 0xb7513645, 0xb007d6fc, 0x3c907863, 0x6c29f430, 0x25d673e0, 0xc2682f08,
+    0x85a856f6, 0xcc32cff4, 0xa40a5d04, 0x7dda613a, 0xf2095e2e, 0x99cc3226, 0xe9b2b8de, 0x07bce36a,
+    0x5f5641a9, 0xcaf97a9a, 0xd5e08ce1, 0xd4c0a5a6, 0xf516c36c, 0x010cc0a3, 0xa18ebf05, 0x60b57f5a,
+    0xd2960b5c, 0x686c089b, 0xea1c4287, 0x7a2bf61b, 0x1f4e1db9, 0x2458af63, 0x6c01e56c, 0x9b45fe47,
+    0xf38246e0, 0xee8e8ce4, 0x9a315741, 0x19853b92, 0x3452d9e7, 0xa29c089e, 0x9b2710a1, 0x6ee7703e,
+    0x92c446a0, 0xb0f3017a, 0x0aadb87f, 0x79d9b18f, 0x40d214ae, 0x7e11e9a8, 0xb10ea341, 0x0036f756,
+    0xd1c6720d, 0x82b8c78b, 0xbb30d8bf, 0x16e81a6e, 0x9f0b0ec6, 0xd16f0810, 0xd47c761d, 0x1122eb66,
+    0xaf98a612, 0xdbc80028, 0xa7dc990d, 0xcc918be9, 0x72d9afe1, 0x4f2bf078, 0x2bb2cd28, 0x7996ce55,
+    0x63a865eb, 0x82446649, 0x52bd46f9, 0x20708336, 0x82ec9d22, 0x4a0272f4, 0x29943233, 0x51bb785e,
+    0x284c8527, 0xb992ed33, 0x15f5d1d9, 0xcca1ec58, 0x01845697, 0xed6ac4c4, 0xee9fc694, 0x4a265a6e,
+    0xc47d5bf8, 0x676162e6, 0xd381dd1e, 0x6892b097, 0xf21349bd, 0x3c7307c2, 0x1085f908, 0xafe6faf9,
+    0x4988de61, 0x0524ba2a, 0x3dcac2d5, 0x0386a96b, 0x81aeddae, 0x62b0511a, 0xee43b3f5, 0x4016cf61,
+    0x4a6526c6, 0x3f1a97a3, 0x50a1dfd5, 0x473fae60, 0x3a2ecbba, 0x00a6a2b0, 0x59ea1048, 0x1edceb3b,
+    0x8fb348a2, 0xcd0bbf50, 0xabebcc8e, 0xd103eac2, 0x71ef6d80, 0x53e2003f, 0x40834a4b, 0x093f7a5a,
+    0x56928f96, 0x9a6856ab, 0x7f978830, 0x6ad3b817, 0x6634d82f, 0x82173d74, 0x08f74198, 0xc6f59bca,
+    0x9b2f4556, 0xb080e305, 0xd08bd8d7, 0x6055fb60, 0xff9e38e9, 0x6cf0af69, 0x8ff41519, 0x8f33f4d3,
+    0x5d8a75bc, 0x2b1a3612, 0xe9e2dc5e, 0x6885387c, 0xc859bbaf, 0xd5ead20b, 0x4305cd12, 0xe701271f,
+    0x8f16dc04, 0xb36ba033, 0xff1aae1c, 0xd314b2ae, 0x412658ff, 0xcdf9a436, 0xcba22ddb, 0x980fea7a,
+    0xaa272143, 0xf27c6bce, 0x2d17b82a, 0xe2c5dfc4, 0x1df9c215, 0x06ce93fb, 0x97fd8b6f, 0x023f9a16,
+    0x804985cb, 0x5dd0eb35, 0xb2fe2a81, 0xfc0d6ad1, 0xb9a7e196, 0x07aea856, 0xd6d32322, 0x8bfa416c,
+    0xcf15f704, 0xa1f088dd, 0x7116b825, 0xc54ef814, 0x3a7e10c9, 0xdadedb72, 0xb69e027d, 0x0ea3ab97,
+    0x936c3ddb, 0xa1970a8e, 0x6f287e54, 0x2c1a6174, 0x14bcc9b7, 0x3b0b9e2e, 0x08fbb430, 0x44d72519,
+    0x47472f2b, 0x2abf74d9, 0x10f2ac87, 0x0cde533d, 0x35a8a9f0, 0x1f405f02, 0x86accabf, 0x7702cbc3,
+    0x0eabfc77, 0xb03ec2f5, 0x1635027b, 0xef18ee70, 0x9ed5092a, 0xc67ecfdc, 0xabb14a8a, 0x255aa1ac,
+    0x97854a92, 0x340b9bb1, 0x3f27ba41, 0x57407a44, 0x2087c06b, 0xe7fec896, 0xe702696d, 0x98f0b937,
+    0x4a9f5753, 0xfbb3c5fa, 0xa1cf9d73, 0x19c1eaad, 0xf3501df6, 0x847034f9, 0x45941ab1, 0xfaa825d7,
+    0xde860a06, 0x1d2c5567, 0xf6fa969d, 0x2fe9a7ed, 0xfb74483b, 0x9cb85d5d, 0x35d170e5, 0x2b5fb1c2,
+    0x06d0de10, 0xda029d60, 0xf664ade9, 0x0b0b023f, 0x32b920f1, 0x29ac2690, 0xd31c56e5, 0x316099c7,
+    0x28816b59, 0xb584bae5, 0x492d0e20, 0xfa7a3651, 0x95ce3cf3, 0x8f8513e9, 0xdcce78c2, 0x97d64e0f,
+    0xdceffab5, 0x18aa16d3, 0x62b29140, 0x62bccd29, 0x9a186c17, 0x42015fe0, 0x9274bd67, 0x2757b971,
+    0xf0d58c21, 0x8da9f74a, 0x874be2e5, 0xe096dd8f, 0xe492d7d9, 0x03a269ea, 0xcc17e6a7, 0x3c1bd9e9,
+    0x25147000, 0x4500059a, 0xd429146b, 0x2e4a16e6, 0xcf28fec2, 0x24aa2080, 0x92095d3c, 0xfcaac901,
+    0xad6515fe, 0xd91d941d, 0x5b1dfc2d, 0x78206e37, 0x76a7c55a, 0x6a2e5ebc, 0xacc87fdb, 0x3e0ac985,
+    0x5e5c3944, 0x7a329895, 0x4e0336d9, 0x464f3527, 0xa9519925, 0xf190be19, 0x6f3c3fc7, 0x8c3357df,
+    0x08a8e1b3, 0x9495b2f7, 0x76eae1bd, 0x73531ad8, 0xd16649d5, 0xe0bb9077, 0x6ac9842a, 0x6a71d551,
+    0x19830a01, 0xa6af3250, 0xc048b908, 0x5ed3ff64, 0xea186c25, 0x0aa9c8d5, 0x8cb1fafa, 0x78aa1c42,
+    0x08be546e, 0x801b0470, 0x65ddfa05, 0x8d4398f2, 0x3585470a, 0xe705917e, 0x5af3a837, 0x2bfe991b,
+    0x30b4e913, 0xba15a629, 0x0b874869, 0x80a30c51, 0x825d9ab4, 0xee78dc5e, 0x9987cb49, 0x68e1cb0f,
+    0x0f54775a, 0x3f3492cb, 0x62e32aef, 0x6e95cce5, 0xb9c14cf1, 0x9f5d9cd9, 0xc8673d8c, 0x049c7a8a,
+    0x104a55d3, 0x643f8dd3, 0x3880e829, 0x7eaf464b, 0x62d8e8b7, 0xc2734787, 0xa4d4814a, 0xa379249e,
+    0x0ac0b185, 0xc40683d0, 0xb72abd27, 0x7fdcf444, 0x61328342, 0xd6a0fde6, 0xab073b89, 0x48ccec74,
+    0xf67e872f, 0x9b4145f4, 0x1a6a5235, 0x3a1f07e8, 0x2ce000b7, 0x884e5bb4, 0x209f4eb7, 0xf73bd683,
+    0x575ddcd8, 0xff9bb693, 0x85b3ec7e, 0xc1736c6d, 0xbba81ee2, 0xa86d6b7b, 0xb575359d, 0x589b6708,
+    0x0aa7c1e9, 0x295351f4, 0xbacb9af5, 0x80694633, 0x8a650dc0, 0xab68f31c, 0xf4d69d1f, 0xc259b712,
+    0x97007c3e, 0xd7be5abd, 0xf9206400, 0x4a0707e3, 0x89662bb8, 0x6749476b, 0x383b525e, 0x2cca6d1a,
+    0xcc2c832f, 0xfbe0ab9e, 0x523a43d3, 0x9d909ab8, 0x085f161b, 0x1c9e1658, 0x50d6ce63, 0xb096c37d,
+    0xbc9eec9a, 0x70e75850, 0x3b0444ee, 0x5d22af39, 0x89a1f57a, 0xf9d8bd5a, 0x8559d9b7, 0xe52c8881,
+    0xea9e70df, 0xf74602f1, 0x6856523a, 0x9302aeb5, 0x262bd700, 0x7eed6237, 0x2ae613b1, 0x8768c205,
+    0x64f28f9a, 0xbc4a6954, 0xc3521330, 0x9fe00657, 0xfea9e715, 0x75b4c354, 0xc3caf3ac, 0xc9a46a4a,
+    0x81fafdd3, 0x08662e94, 0xedfea1b4, 0xbed62467, 0x6a25c96e, 0x5cc20c30, 0x5fa4d629, 0xf31209e2,
+    0x3d0bffb1, 0xfb553eab, 0x5464ccf4, 0x2ab9fe6f, 0x620ca63a, 0x05912c0b, 0x6c8e5d2c, 0xa9eb4e13,
+    0x14cd3f38, 0xf0f080c7, 0xd7048f53, 0x28f7475f, 0x54e1385e, 0xae47d75d, 0xb3962121, 0xbdf205e3,
+    0x40a47afe, 0x3b356463, 0xa9cbe529, 0x1227a3b1, 0xbcb6073b, 0x24359114, 0x64d837a9, 0xf0c7179e,
+    0x77ed1211, 0xb0fa063c, 0xfe868170, 0x9417ec2b, 0x191fef05, 0xcf7a4c67, 0xc0eb8d3c, 0x91ae18c1,
+    0x8403fd97, 0x2999e8fe, 0x61a08062, 0x38abf158, 0xbb29cebc, 0x05d7487b, 0xfde89f1e, 0x31b447a3,
+    0x054c121f, 0x3778c23d, 0xfc53be00, 0x96adc821, 0x564fd959, 0x1da52ab0, 0x80f6fa3d, 0xa03b31ce,
+    0x59438028, 0x265f6887, 0x92d74d5b, 0x83d39718, 0x40406665, 0x9b58daef, 0xb445896f, 0x196c468d,
+    0x252423f2, 0xf0bb04e1, 0xfb5cabb0, 0x04097f96, 0xb4077127, 0xce5ca685, 0x17554f4f, 0xdb95baa9,
+    0xfb1d218f, 0x647f99f6, 0xac5de02b, 0x770bdb78, 0x25ff5580, 0x3c6cfe4a, 0x58accc78, 0x5e2c7127,
+    0xf05f6c24, 0x7a207bec, 0x5d86a559, 0xaa33ffc5, 0x3e246699, 0x3a69f5f3, 0x2880dfe0, 0xa92da1e0,
+    0x601d495f, 0x611a2f44, 0x027f8560, 0xb3d8f01d, 0xf908e108, 0x0d4916da, 0x8cf2a746, 0x99e82984,
+    0x43816f8a, 0x6a13a76b, 0x37bdb824, 0x62e2e07c, 0x7866f5e7, 0x519c621b, 0x735e6faa, 0x803995d0,
+    0x515ed835, 0xf6f67bef, 0xf81934a3, 0xc459c8b0, 0x7c9f3678, 0xaa34f878, 0x4180dcdf, 0xbf7a1706,
+    0xf13bfca1, 0x21e751dd, 0x9b22b9b7, 0x7f30c3ee, 0x66b31bf5, 0xb0c4b403, 0x11fb510d, 0x5bdb89ca,
+    0x5aa7ce58, 0x538a8243, 0x52cae4b3, 0x676dbdd3, 0x2b273b7d, 0x8e9a3fa8, 0xa864d8b6, 0x72cd6a67,
+    0xb15dffe2, 0x8e4ac25c, 0x44126692, 0x72a37559, 0xbfc73c68, 0x9fe7abd4, 0x73d300ea, 0xb5ac734a,
+    0x0c0fb79f, 0x2af142f5, 0xfdd84856, 0xbc444015, 0xd4ca598f, 0x8a79146e, 0xd42c80f8, 0x5ea48cb0,
+    0x7b4c2ff0, 0x27c581f8, 0xac375c4c, 0xb8e7dc39, 0x2e8c9413, 0xde0703dd, 0xd6976e8c, 0x07a3342c,
+    0x6b022f2d, 0x8f9f359c, 0x3c8194bc, 0x58291514, 0xb1978454, 0xc90dddd7, 0x068b24bf, 0xcd911e54,
+    0xc40652e9, 0xd07740ea, 0x3de3d598, 0xb66ece09, 0x5891c723, 0xa6ca3f71, 0xf1b5cfad, 0x7ae5def4,
+    0xf13309a7, 0x7a793e4e, 0x822af802, 0x6a6c3169, 0xa6babf27, 0x08368608, 0x50a8a07e, 0x764fe45f,
+    0x97310dc4, 0xf2a3927f, 0x05888b07, 0xe5ebb3d3, 0xcf011ad4, 0x54d5be47, 0x7c44d267, 0xd14d7c8c,
+    0x7b57da9a, 0x86abda8d, 0xda2b81e2, 0x1a6570f9, 0xfa9a0b00, 0xddd1a1d3, 0x123340dc, 0x463d7db9,
+    0x60f023aa, 0x630e933a, 0xb9759223, 0xeed8519c, 0x1c93684f, 0x960cc1ba, 0x8c992210, 0x858f52b6,
+    0xcb89f006, 0xcafd77bb, 0xc314ab13, 0x21354d35, 0xb30a87e7, 0x86e3b4f6, 0x7d144664, 0xc449ab15,
+    0x315d6546, 0xf9845cc1, 0x3b6385bf, 0xbea4cbf5, 0x87051ca9, 0x9d9380f7, 0xf8544235, 0xeb2a01d9,
+    0x994fbcd0, 0xedfc2f3d, 0xd16dc208, 0x9778c893, 0x8ec49395, 0x50363dfa, 0x56817143, 0x0045fa78,
+    0xef776315, 0x166833aa, 0x43447628, 0x0c56f62c, 0x0606d80b, 0x1ec02540, 0xc9cf43aa, 0x49c44627,
+    0x20435fcd, 0x710e40e0, 0xaab17b59, 0x6eac7fbc, 0x4d1e2fb1, 0x9d382463, 0x8172a52a, 0x734c1261,
+    0x123105d7, 0xb2618aee, 0xcc19dba8, 0x1c023797, 0x8431f5f3, 0xc37ed729, 0x337a4918, 0x7259557d,
+    0x1fdb13dd, 0xac359a64, 0xb96a8234, 0xf234ee62, 0x258f47b1, 0x820eba6a, 0x44593acf, 0x4e9567fe,
+    0x0299c335, 0x76b8ede0, 0xc84981a8, 0x5496584a, 0x924fed3d, 0xc13f55bd, 0x190552eb, 0x8aee8fa3,
+    0x385cb616, 0x64d4fe6d, 0xb61a620d, 0x88fcfc3b, 0xcc8f57e7, 0x3e183e92, 0x5069780e, 0xc5939b19,
+    0xfe53cf44, 0x6b0bb830, 0xcf67ad81, 0x882f4145, 0x3114f856, 0x16b0438f, 0xb2c6d582, 0xab26620d,
+    0xd375c5fb, 0xe02f7965, 0x509e2c0e, 0x64d85e1d, 0x1e0462cc, 0x69d9b4fc, 0xc6dedc02, 0xc7cae896,
+    0x6d68a5e5, 0x18b7c740, 0xf68a9c79, 0x652045b9, 0x43c5e0ab, 0xfd49fe6a, 0x36d4275a, 0xb9e909c2,
+    0x2384ca6d, 0x467923ba, 0x6d24a4e5, 0x9b031e55, 0xbc494ed9, 0x9f3b70e8, 0xf40bd6ab, 0xc0e55335,
+    0xd8368654, 0x2c5437e1, 0xcdd625d4, 0x464bde53, 0x88a4f590, 0x8f18e36a, 0x805993c3, 0x6d9a0946,
+    0xe3717db3, 0x1ca06cf2, 0xd5ef6d0c, 0x2edf699d, 0x672d561b, 0x0e5a16f9, 0x61f6aca4, 0x2a48a863,
+    0x3b54bd62, 0x1878d663, 0x9511d7c8, 0xdfc0e122, 0x66962576, 0x24cf805f, 0x63347e3b, 0x9c326f06,
+    0x910f5a7e, 0x90d28c3c, 0x4f135142, 0xf0a6155d, 0x5eab6b93, 0xfda38a0b, 0x41c07f0b, 0x95ed2060,
+    0x00000000,
+    0x6b56601c, 0x236ff534, 0xe853d794, 0x82a938a5, 0xc18b83b6, 0xe042c455, 0xf4c5f335, 0xa6fefa30,
+    0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000238170513177184465895202425368741325817001201070020381993038708\
+                          46751188192899823151552628349788604516295066307994130118526061826166445047808 */
+  { 0x00000000,
+    0x6d8860b9, 0x7e2848df, 0xba31ee75, 0xf9709fce, 0x8864cf95, 0x1d45a5ab, 0x24b710f1, 0xe080e0bb,
+    0x2feecfd2, 0xdf012db4, 0xcb9457d5, 0x07c5efef, 0x80048776, 0xbd116a8d, 0x8dcc2e70, 0x8470b50c,
+    0x550f66a2, 0x1d3b1d4c, 0x6c146b78, 0x2acf5ca2, 0x99a14f23, 0xd2ef95e0, 0x32e0c298, 0x372e7dc3,
+    0x0c95172c, 0xea3fa43c, 0xa526ae3b, 0x991f4be4, 0xe7bb25ca, 0xe39b569b, 0x7f4606e2, 0x43834c31,
+    0xe4138e3f, 0x8ba6cbd9, 0xaf887f14, 0xe895720d, 0x21a014e3, 0xc30df1c7, 0xfd8030d7, 0xfd79dd77,
+    0x514e0677, 0xb842c897, 0x209e76dc, 0x117de788, 0xfd61128d, 0x05703851, 0x70cce5a2, 0xb7f99c94,
+    0xfbf54dfd, 0x93128ebd, 0xb99dd60b, 0x51e967a7, 0x8df655e8, 0xe274e23d, 0x1f95ec8a, 0xd6c076f1,
+    0x9dea2018, 0x7ba5593f, 0x83c65a97, 0x8b6f07ef, 0xfcf18d1a, 0xeccf1a34, 0x9543327f, 0x2828e233,
+    0xddad1a99, 0x712c2911, 0x32198ef8, 0x32e681e8, 0xe441062b, 0xbb734802, 0x99867ee1, 0xd3385156,
+    0xa53803ef, 0xa9fd64b7, 0x14ac1e6d, 0xeec16942, 0x28046072, 0x10d1151d, 0x293fff71, 0x4f6b4a94,
+    0xd0fe84ad, 0x76ec925e, 0x1ba2abbf, 0x0c5c8649, 0xa13c93e5, 0xa7b0033a, 0x4a158ff4, 0xfe8a6c06,
+    0x6b86c54e, 0x63f497d8, 0x346e3424, 0x1a58a4f4, 0xeedbc3fc, 0x1f63c7ea, 0x840e4caa, 0x369ad97a,
+    0xaddf8cc5, 0x382fc696, 0x94beeaad, 0x8bed8e23, 0x6b14d3cf, 0x00f17a1d, 0x2a7ed6d6, 0x2775feff,
+    0xdd45ae07, 0x3af0cdc7, 0x1633ed89, 0xdb1236ff, 0x5419f06b, 0xb6bf2fc5, 0x8a744bc0, 0x2854d01c,
+    0xbe5a0cf2, 0xe893b9ea, 0xc601c1f8, 0xde440018, 0x7e807e15, 0x0f929dfa, 0xc3fac76a, 0xb8bd02d8,
+    0x27f6c997, 0x761119d3, 0x67c18d57, 0x6be81496, 0xc79f9b69, 0x1bd11ee7, 0x438a457f, 0xa0fccdbb,
+    0x28ec31f6, 0xb0593dcb, 0x08ac0a48, 0xcd7889c1, 0xd7a5e7bd, 0x937d42a1, 0x06a8d111, 0x15d0f4e1,
+    0x052e9019, 0x9c2bc033, 0x36625927, 0xc45bd53d, 0xc33632f0, 0xe988ead6, 0xca6cd945, 0x6bd8388f,
+    0x7f1510e7, 0xfa40874a, 0xf7337043, 0x6626a042, 0x6745b3ee, 0xe5430884, 0xd788edbf, 0x43adb8ef,
+    0x962fd928, 0xb46e5e01, 0x0c6feea0, 0x2d2fe539, 0x43c6ec7f, 0x25cc3750, 0x2ee2e04e, 0xb985fc95,
+    0x45c8173b, 0x6f7d7299, 0xb1b6b10b, 0x2dd044c4, 0xfbe0c712, 0x7d6bdc91, 0xb3f1288e, 0xfaafd5c2,
+    0xb37ab329, 0xaddc18d0, 0x7722b1a0, 0x71069e9d, 0xd268417e, 0x253a9856, 0x0c477662, 0x961c94c5,
+    0xf1df5617, 0xae93e821, 0x6b1e268b, 0x752cceec, 0xcf98afc0, 0xf331673d, 0xe3203d39, 0x8ddb83ea,
+    0x06327b02, 0xd3985072, 0x4631c90b, 0xe9a2627b, 0x5a59ffc5, 0xaae37ee4, 0x0209e57a, 0xe84a9d0f,
+    0xe84b3793, 0xc2a82105, 0x8b0d1595, 0xdb18bcd6, 0xe79c82df, 0x6b99c36f, 0x40393b70, 0xfdb17d1d,
+    0x8c609e5f, 0x648e8bc1, 0x3c820645, 0x2d77c7a8, 0xaf4367e0, 0x14a34fe0, 0x32e4b2e2, 0x63e8a636,
+    0x58367c1b, 0xbd8dbd6f, 0xfd47a7a2, 0xa93dac36, 0xbc9f8701, 0x76fd5e18, 0xcf742205, 0xfb10bf15,
+    0xa5bcdaf8, 0x9598470c, 0x046f488e, 0x7d836efa, 0x6174e89d, 0x4e70273a, 0x653f9a37, 0x86659544,
+    0x68752f92, 0x2495001c, 0x44356b50, 0x67938b55, 0xe59ff441, 0x44eb81f8, 0xbb800af6, 0x93392af0,
+    0xca52ddef, 0x249916fb, 0x40d0c29b, 0x8728c338, 0x422a19a6, 0xf9d2432a, 0xd6e7929e, 0x3d6858af,
+    0xf9b97bb8, 0xc606db4d, 0x2dd0def1, 0x390e4322, 0xa837b167, 0x9dfb3e8f, 0x4eb13976, 0x41d57b17,
+    0xad70eabd, 0x8cf294dd, 0xe54c2052, 0xec9b07fd, 0x82ce1a27, 0xc5c152b3, 0x360512db, 0xcb1e2f3f,
+    0x3051d57e, 0x17f6660b, 0xd3c7c4c0, 0x233df5b8, 0xe9b993ed, 0xd0be15a1, 0x52403ad4, 0x95d58ca9,
+    0xa02e916d, 0xdec97f4d, 0xba1b88a1, 0x17027699, 0x55d48af0, 0xc1bf2db2, 0x63b0e253, 0x4bf43bb4,
+    0x655ce4ff, 0x02c59c27, 0x298fb012, 0x1b768ec6, 0x8e1394fc, 0x432dac6a, 0xe80fe3fb, 0x343e8058,
+    0xe561ded1, 0xcf0a8dba, 0xaa739e7c, 0xe8ff296a, 0xf32e7bb1, 0xe7bad3d0, 0x81b51593, 0x55c2a6f8,
+    0xe2957435, 0xcd9bf2fa, 0x54b51019, 0x34aea7a4, 0xeee19846, 0x3b430404, 0x287d47dd, 0xbe1439cd,
+    0x98dac090, 0xdf40c260, 0xeec95aca, 0x9f549ac2, 0x85f9f7af, 0xc556724f, 0x6023e0e6, 0x5733d9db,
+    0x7d1dfec4, 0xc2ccf3d7, 0xd13cf515, 0xb008def2, 0x945f9504, 0xd63b0437, 0xa68def79, 0x942845c3,
+    0x28f843e1, 0xeb7ca4ed, 0xb99b72dd, 0xe2d4b074, 0x72c0ecc7, 0x6a76a728, 0x6d03c40b, 0x39f5bd00,
+    0xbeb80574, 0xf74c1a01, 0xa38652ac, 0x72aac1f7, 0x416a517e, 0x538eb115, 0xc65f6725, 0xa391b163,
+    0xcb1e94ab, 0xb7a27457, 0x48d6a82d, 0xeab5c662, 0xd04db45e, 0x1f557d55, 0xa63785b3, 0xcb169cbb,
+    0xd87fd9a2, 0x0be720f3, 0xf4bd4e45, 0x3280e404, 0x851b5ebe, 0x79ae6ce6, 0xd71f3126, 0xc2037d18,
+    0xaa87343e, 0x84a84446, 0xddd830d2, 0x92050408, 0xfc4a8a72, 0x5e77170c, 0x750430ae, 0x4d77b897,
+    0xc564faaa, 0xe93325c2, 0x38e9207f, 0x242be9c7, 0x9960579f, 0xca5fc484, 0x0e5b540e, 0x9dd5b01e,
+    0x4768ddac, 0xf8af8150, 0xc9f96b9e, 0x5742878b, 0x44afbdc4, 0xabb3f9ca, 0x3591de1b, 0x46b40530,
+    0x4fce3172, 0xe25b73b5, 0x845632eb, 0xc5d9d640, 0x59c41942, 0x095846a6, 0xcd26d2bc, 0xd988051e,
+    0x065e27a6, 0xbcc9b48a, 0x4fc23bae, 0x6a2192bb, 0xf86bc65b, 0x194411a1, 0xf86fa70e, 0xa251a0d9,
+    0x95ef05b0, 0x5f71cd0d, 0xae537e5b, 0x1987ae56, 0xbcd7ed1f, 0x4ba080f6, 0x6160cfc6, 0xa0d64058,
+    0x8bd78eb8, 0xb2130187, 0x8a198d0f, 0xc7136c61, 0xe7c34038, 0x92230f4a, 0x553059c5, 0x9b08c56d,
+    0xcdc951fb, 0xe25fed23, 0xff172182, 0x2c57975c, 0xa382b404, 0xfcce5f62, 0x0c2375d8, 0x91e8e338,
+    0x2b31fc07, 0x53075bba, 0x4d56dce8, 0xe52190f5, 0xa5601292, 0xec884a25, 0x329aad3c, 0x7d5fabd9,
+    0x1a5ea42d, 0xf23f0d3e, 0xa5698d3e, 0x978f0f05, 0x532a37b7, 0x0ab62d77, 0xe623f2ed, 0x13628cd6,
+    0xfb8a51ab, 0x0dcb5996, 0x6eedbb6a, 0xd7b31970, 0x0ad62635, 0x6d01a20b, 0x4774f70f, 0x4b62c737,
+    0x72aca9f2, 0x581ccb6a, 0x6c073351, 0xdea67b86, 0x4e9e355f, 0x3d087127, 0x6ca3a77b, 0xbd07670b,
+    0x69109f35, 0xd63cbb72, 0x726b50b9, 0x7a7438e4, 0xe72a8383, 0xb9754582, 0x8725c108, 0x607c28ad,
+    0xa0e963b6, 0x00091506, 0x1055816c, 0xd10f8b41, 0xf1c4177a, 0xe610b0c4, 0x978a5202, 0x585ff545,
+    0x1a9c8d4c, 0xa8dc5310, 0xb4a2bb8b, 0x31b090dc, 0xf55c2205, 0x9249f2a9, 0x21533cec, 0x3dc9c6e9,
+    0x728d2d80, 0xe1fc97d9, 0x6ef20e2d, 0x9eea7d63, 0x1304cf9e, 0x8ba1b2cd, 0xc64d4681, 0x7e2f5035,
+    0xab6cf4ec, 0xd7632bb2, 0xa221a120, 0xf007d4be, 0xfa2ce287, 0x65c9586a, 0x85abf90f, 0x6d250918,
+    0xa8dcd90a, 0x76e36b3f, 0x50fe3eac, 0x9f4414de, 0xeead37ae, 0x1cc60ecc, 0x550403ba, 0xe1fea4f2,
+    0x6ba07223, 0xace45492, 0xbef9c594, 0x9de6b0e1, 0xe298ff18, 0xbd7996b8, 0x88c4f2e9, 0xa305bf78,
+    0x5723f242, 0x7b89facb, 0xa0cc569b, 0x27650c63, 0x253fb051, 0xdf4fc17f, 0xaa1a8d24, 0x8016c706,
+    0x4f8c9cb3, 0x6e482883, 0xa8204a8b, 0x3a9a5683, 0x8459a22e, 0xbd01f9d1, 0x5cac592e, 0x87d7e358,
+    0x09b972aa, 0x462ee92a, 0xabbaa3d7, 0x4fd0e2f9, 0x1fcc0fff, 0x85a1367a, 0x694b6051, 0x8a0c52f5,
+    0x90d654ff, 0x9b71fc19, 0x6a1ca5bb, 0x42180bc9, 0x0d8c69c0, 0x1f77b4c7, 0x95b141a6, 0x85289074,
+    0xf5e31d38, 0x58963274, 0xf2addd6c, 0x430e3542, 0x701d0a68, 0x873f4ed0, 0x1e3eb3f9, 0x344f8d4f,
+    0x64825016, 0x5decdcc7, 0x1c1a5967, 0x2ba151a2, 0x0489b3fb, 0x1325deda, 0x0400c03a, 0xe8af29d9,
+    0xf909b9fd, 0x75ad63b5, 0x0c2dffed, 0xdd49e50b, 0x521c3d05, 0xc5367f5a, 0x1ffc796a, 0x54a9d97d,
+    0x5135b2e9, 0xc725f64e, 0x728c6706, 0xcfa75c84, 0xb8c15607, 0x81e2fba2, 0x57d9ffad, 0x0e51998c,
+    0x16f763fa, 0x4e677653, 0xb83ce6b0, 0x99155f2e, 0x285107f2, 0x330b202c, 0x4104b636, 0x7ad7281e,
+    0x3a704d68, 0x136d6588, 0x8882935f, 0x82d51324, 0xa8783a46, 0xca57bc6c, 0xfd037502, 0x59bc29db,
+    0xd19c5724, 0x6de02b73, 0xe4cb9899, 0x876ecb68, 0x81791dc0, 0x7e86733d, 0x44789242, 0xa5966c9b,
+    0x710dcad7, 0xf98f5220, 0xeb8e4be5, 0x54e5a0a4, 0xf46b19b3, 0x5dd136e9, 0x36cb7580, 0xd1eeb14e,
+    0x03215697, 0xf1053315, 0xe54dd04b, 0x85bb5d29, 0x7be3efa3, 0x94e6e9d0, 0x96c65142, 0xbd4e7fe1,
+    0x023f8b22, 0x4246b1a4, 0xc424b6c6, 0x6d0d5f91, 0x1934c1ea, 0xc95eaff8, 0x831d1fcb, 0xaec6f320,
+    0x15c73adb, 0x95d307ea, 0x5b98bf37, 0xa11aeeac, 0xe2cd459a, 0x90e60c08, 0xd229e904, 0x93da5878,
+    0x95c16544, 0xdab86755, 0x49311744, 0x3f267771, 0xdecce316, 0x009c3384, 0x6e6d682d, 0x5cbbb198,
+    0xef90d2e4, 0x6dc836d0, 0x78ad871e, 0x23613b7c, 0x664a030a, 0xac5cd3fc, 0xb45eb7f2, 0x886fed45,
+    0x1680cdab, 0x311b2e42, 0x4a9569fe, 0xffc5ef22, 0x818fc95d, 0x6b93a9a2, 0x82335db0, 0xebdd315d,
+    0xda291533, 0x93224fee, 0x66420e7f, 0x75ab6b4e, 0x5a549280, 0x4986b36d, 0xfbd31f69, 0x6d201443,
+    0xb8849430, 0x0b9e076e, 0x1fefbb4b, 0xb8a6b90e, 0xa67624a7, 0x13969c44, 0xf730088a, 0xed140371,
+    0x52f05951, 0xe7aedf6c, 0xf2f2e0aa, 0x7db6569e, 0x8c30290b, 0x99f9d889, 0x75c0b853, 0x0212b8cf,
+    0x73c2d4df, 0xd583f317, 0x3a32a51b, 0x785baa64, 0xa0d6738f, 0x3969f06d, 0x218d6d59, 0xf1466dd9,
+    0x5971f0a4, 0xe8175150, 0x19235016, 0xd05cfcc5, 0xb8fb275a, 0x286bb9e6, 0x599b891c, 0x0f89e3d5,
+    0xcf794d62, 0xfa5cdf5b, 0x0de711d9, 0x9f16005b, 0x0fc5131a, 0x54ed2d48, 0x583e20cf, 0xb5fe6d35,
+    0xdb9df86c, 0xe8f1bc81, 0x9deb51d4, 0x4dcc4730, 0x094d17e3, 0xd6265f7d, 0x143b016c, 0x85d591e8,
+    0x50b3374f, 0xbd63368d, 0xf4aa492f, 0xac095e7c, 0x625dafc2, 0x07c68956, 0x018eff62, 0x90a76764,
+    0x1bbaef6f, 0x71c7da16, 0x5bdbc7e0, 0x83cad24a, 0x7dedd871, 0xd7d257fb, 0xe34b4391, 0x3d557148,
+    0x6df30628, 0xb4d767ad, 0x77acf2f7, 0xc66c82e1, 0x112df207, 0x4c03a196, 0x9604675b, 0xf103f3d9,
+    0x7aa906c1, 0x620c6071, 0xca7c7faf, 0x41813219, 0x0a5ebf51, 0xaf2dbdf4, 0x16ee55dc, 0x3449d0d8,
+    0xb5c02477, 0x3b716449, 0x464549bf, 0x8e700fa4, 0x2ba36209, 0x3c780975, 0x76dec12e, 0x7d8b23bf,
+    0xea0b5a0b, 0xae6826f5, 0x391ca239, 0x4cabb4cb, 0x9e9f4566, 0xd5dc2cb3, 0xc039dfd7, 0x5b843ea4,
+    0x5be66974, 0xba768cf1, 0x661e7be8, 0xd27ab594, 0x3d7afcfc, 0x68fe5ec6, 0x07511cc6, 0xc5c5e2cc,
+    0x6eb06909, 0xacd5716d, 0x39b59482, 0x6f2fe2b0, 0x75f9d9f6, 0x683f1e2e, 0x60c16866, 0xa648e10b,
+    0x1918cea2, 0xf029c656, 0x7516269b, 0x53051d81, 0x233f4142, 0xb3cf719f, 0xd12e5247, 0x80e3b0f6,
+    0x88f09888, 0x3af06431, 0x9fddee57, 0x4ee4e664, 0xec8f43cb, 0x629166b2, 0xd2a1ed8e, 0xb1a55a2f,
+    0x3688638f, 0x1e82c371, 0xf86ff439, 0x65437db1, 0xd63ad088, 0x37499964, 0x1de191f8, 0x3e61c747,
+    0xc87e368c, 0xb6d0326b, 0xacfdbb69, 0x69ef8218, 0x0c0111ec, 0xfcf11d93, 0x2ac51d6e, 0x49191095,
+    0x3d69620e, 0xd7663cf5, 0xa5c3f275, 0xdf533f2e, 0x40054f03, 0xae1c4d04, 0x87b5728b, 0x0732ab38,
+    0xd21974b3, 0x1e45a0e9, 0xeec18157, 0x09e9002c, 0x4ba63e45, 0xe3ad8ac3, 0xc7e7f91d, 0x9bfc37b0,
+    0x57852112, 0x4f9ee213, 0xf75e4984, 0xc7be3587, 0x052737ed, 0x656215b7, 0x09d780eb, 0x4b5e62d6,
+    0x13685c29, 0x1b37f060, 0xd0854235, 0x441f4a77, 0x6b287d01, 0x3d982d11, 0x096cee80, 0x22261b5c,
+    0x775ab024, 0xefe9892f, 0xa4eec6cc, 0x46f91286, 0xbf94c217, 0xfdf2169b, 0x839941cf, 0x5e4152c9,
+    0x064f2fe7, 0xe912a846, 0x360a5c3a, 0x21a08c03, 0xa005cbe6, 0xcada80cc, 0x95d8c122, 0x602ac52f,
+    0x45ce205c, 0xb59d6578, 0x630839ea, 0x7ec49084, 0x63b3c598, 0xce237e0a, 0xd3e6a04a, 0xbc2108ae,
+    0xc2cea599, 0xcfde8233, 0x553da7ba, 0x4a11733d, 0x889107ae, 0x3bd43d03, 0x0c60ea53, 0x67a22ef5,
+    0x5d676e4f, 0xe303183b, 0x21394b5c, 0x4fca766c, 0x3c6a0760, 0xfd60c029, 0x9aece26a, 0x69dcd479,
+    0x50759a1f, 0xf99e9632, 0xd92a85e1, 0xf421a9f4, 0x90b7b42d, 0xe610dc08, 0xd28e031f, 0x5e4a0dad,
+    0x55ac442b, 0x30e8aa91, 0xc9b8f549, 0x34c43787, 0x55af0ebc, 0xae51bd02, 0x60c80b37, 0xce617e6d,
+    0xc5259075, 0x65905211, 0x27164e1a, 0xdc86c575, 0x3c32bb5c, 0x53976bc7, 0x95d6d6cb, 0x5628062a,
+    0x62efe207, 0x347d05f5, 0x8bcb4c41, 0xdf6c7376, 0x60c422e5, 0x6c992d01, 0x4f97913f, 0xc72e50d0,
+    0xccbe1e09, 0x7b857890, 0x9d3a9ee6, 0x432ebe0e, 0x5bf922de, 0xc82f7c9f, 0xb8e00a01, 0x66963161,
+    0x161bd995, 0x90f39c24, 0xf3d1d7a9, 0x49b297a6, 0xd1552fbd, 0xde435436, 0x3b4bd6c3, 0xada26649,
+    0x29f9d6af, 0xe7507ad5, 0x9a9aca1e, 0xec675bb3, 0x5a5589ac, 0x52ee1198, 0xb6167eec, 0x8f0916fa,
+    0x7cf86026, 0x76737ca7, 0x924ee2d9, 0x00c90ed1, 0xfc89f3ab, 0x0031db8a, 0xf9b4501f, 0x98f9e4cf,
+    0xc2cd4256, 0xee0ee455, 0x8e5eab53, 0x7ca2a55f, 0xd524f9d7, 0x42dfc190, 0x54f2db86, 0x3da5b611,
+    0x93013b8d, 0x8e68493e, 0x260c1431, 0x44de0d43, 0x776fa2fe, 0xb05f2bf4, 0xb769aac9, 0x7c8ae24b,
+    0x2f0b90a3, 0xd4482e7a, 0x08899a80, 0xeb67e724, 0x74969a02, 0xcef3e0c2, 0x8b0b1a75, 0xe5378a6b,
+    0x9e5f12d3, 0x27bb42f3, 0xa623a4e6, 0x6f718edf, 0xdb49a96b, 0x2750a370, 0x90627aa4, 0xc9cd0f88,
+    0x3805303a, 0x4c822769, 0x9c5d02a3, 0x964035e7, 0x3e2be637, 0x2c6b71f5, 0x4ec6711b, 0x7c46765a,
+    0x354f4e9c, 0x5455c918, 0xbe9c1a28, 0x4c3e7553, 0x0e3be278, 0x322637cc, 0xc9054558, 0xac946950,
+    0x404a4d34, 0xe4a7fe8d, 0x4e88d5b2, 0x144dfe2b, 0xb3aefde4, 0x8f1b9fc7, 0x7c8cef5d, 0x0b9f8059,
+    0xccf0887b, 0x54b82ee0, 0x0fb223ba, 0x0f709dc4, 0xf9541420, 0x32889f9e, 0x72a56ef7, 0x1126b3fe,
+    0x03ffb2aa, 0x9aa2626b, 0x04c5c178, 0xdfb7f03a, 0x5cda4510, 0x0aa040e8, 0xf703d84f, 0x72a7f4e1,
+    0x88667e3d, 0xd8ebb480, 0x0d594486, 0x4bc75a23, 0xd78bb5be, 0x42231749, 0x24215252, 0xc3e93864,
+    0x00000000,
+    0x35ab300d, 0x11b7fa9a, 0xf429ebca, 0x41549c52, 0xe0c5c1db, 0xf021622a, 0x7a62f99a, 0x537f7d18,
+    0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000119085256588592232947601212684370662908500600535010190996519354\
+                          23375594096449911575776314174894302258147533153997065059263030913083222523904 */
+  { 0x00000000,
+    0x0f6c3a21, 0x6f3f26cd, 0xaf39b282, 0x65d36a5d, 0x7a6e8d1d, 0x92b2ccbf, 0x0be262bc, 0x92629ff3,
+    0x8c8d4965, 0xb51bef2b, 0x3e20addb, 0x0b97ddea, 0xf023f57f, 0x33a1e56a, 0x9dc3f756, 0xf0418159,
+    0xdded0795, 0x80c5f63f, 0xa7a50da3, 0xe4bdfc0a, 0x2b8d4a74, 0x574d98d5, 0xb3290360, 0x03e29bc2,
+    0x5949c4d6, 0x5f5e2538, 0x4ee82b2a, 0x3ed92cb7, 0x511912b0, 0x56e61640, 0x6100540d, 0x3bf71f43,
+    0x27756b36, 0x15105d01, 0x4481fafe, 0x66321b83, 0xc0f19413, 0x3b3d02df, 0x27b60009, 0x491605c6,
+    0x39b5c165, 0x669a8216, 0x265b4807, 0xaeede24b, 0x44a96abd, 0x0fdfbeb0, 0x89f95bd1, 0xc83a5068,
+    0xcf0a57c9, 0x7924214b, 0xcb367214, 0x1c3ce38b, 0x2b2fca28, 0xe45c45d8, 0xd9f2ff79, 0xc7e533aa,
+    0x146912a4, 0x37313f9d, 0x8e6c859f, 0x86d224e8, 0x1429716b, 0x637370cf, 0x3f9b24f6, 0x374cd6ec,
+    0x35983c0d, 0xae895bd4, 0xe5f9f5f7, 0x3d5abbfd, 0x35742be4, 0x5f5e05ba, 0x91d9c347, 0x50590891,
+    0x3487b34d, 0x488fecbc, 0xbed47709, 0xb038981c, 0x8733a106, 0x319f3cfe, 0xfbfb1212, 0x69c1d988,
+    0x00591383, 0x5d2557b7, 0xdeea9231, 0x98b3699d, 0x7da61f5d, 0x4c7d1a37, 0x8df03517, 0x49f38658,
+    0xd0a1e8c4, 0xcaf0e30c, 0x7b614fbb, 0xe88ac750, 0xcf5e7188, 0xad130c31, 0xa1d8a5a3, 0x2aeba41c,
+    0x5ffe235d, 0x293ed3aa, 0x12946384, 0x9ba5d205, 0x4cff38cb, 0xe1dcefa7, 0xb1fef78e, 0x415f79e8,
+    0x44707fe5, 0xa48647f4, 0x0f3a9d7a, 0x3ba88424, 0x36bda784, 0x9a584894, 0x05bbe540, 0x7b148f36,
+    0x579e9b4b, 0x3db282cc, 0xcfe12403, 0xbeb64960, 0x5f4d5d51, 0x38595f1a, 0x9e9905b5, 0x0d42ceb1,
+    0xe15c5166, 0xa4d5bdb9, 0x8eda2e27, 0x6aed0e16, 0xd7e788d0, 0x66576bd9, 0x988f29b3, 0xaeb995b9,
+    0x85e61a65, 0x0d94c36e, 0x8d62afa6, 0x63a9933c, 0xa28b3208, 0xb39f2862, 0x7dc6d1c8, 0xc8a59b5b,
+    0xfe3653df, 0xe53dce8c, 0xb594eb8b, 0xa1918a65, 0x08cdd97b, 0x16ccc831, 0x61b31eda, 0xbadb853f,
+    0x8a2d0206, 0x9e5a9a5a, 0x06850f94, 0x899b9604, 0x28accf8e, 0x22a3f190, 0xbbafc61c, 0xf6a55e8b,
+    0xdc525544, 0x1258904a, 0x22255301, 0x2c9c2b1d, 0x2b73b911, 0x7d5b3f11, 0x6f5cb979, 0xf2ec6297,
+    0xe8e6e379, 0x02c279f1, 0x5ae18ea8, 0x7541acc0, 0xb5947d4d, 0x5685cbc4, 0x42cb35b8, 0xb5881c33,
+    0x6406a0dd, 0x0779bf29, 0x61d2fd9f, 0x973c483b, 0xd8f0edd4, 0x14cc7cba, 0x2f52a776, 0x0dfa7709,
+    0xb2d77e9a, 0x231134b3, 0xa7291c93, 0xf83c77e8, 0x0e30123e, 0xda3dc50e, 0x26d2eb67, 0x14e3fe96,
+    0xa1b2cda7, 0x30033da6, 0x1dafeb14, 0x1b48bbe4, 0x67b05ee7, 0x86f0635a, 0x49388353, 0xbedd486a,
+    0xbe3271d4, 0x25e39add, 0xf9d81736, 0x3d4d0e15, 0xf6bf321e, 0x979a1480, 0x391d8ef7, 0xd6fe0ea8,
+    0x617b5b74, 0xf712e944, 0xfb7081a5, 0x23a90d14, 0x99969c5c, 0x70f37f3d, 0xe90b2a13, 0x3d5716f5,
+    0x22d52a7c, 0x385925ff, 0xe1428ebb, 0xaabaae90, 0x36a13b3b, 0x1191fa8d, 0x8c487cc5, 0x7bdc1c34,
+    0xbc1d491c, 0x47ff8fed, 0xfce1ec26, 0x17063b2a, 0x332629e1, 0xae0dc151, 0x85934f50, 0xde879d16,
+    0xbb373ffd, 0xe479a0a2, 0x1124f4a5, 0x0c2a6156, 0x2ec65179, 0x069523d1, 0xdf2b593c, 0x1d8b1b4f,
+    0x836cdcfb, 0x2c6bea1a, 0xe21f74fb, 0xcdac5e54, 0xbeb9f140, 0x7399951a, 0x8dca8834, 0xef995a64,
+    0x3f49e122, 0x0f03dcb2, 0x204cd58d, 0x7cb174e1, 0xfb55afb7, 0x1e655b3b, 0x176f0fc6, 0xcc51aecb,
+    0xadc1062a, 0x47118d0d, 0x52e94a11, 0x40bc7dd2, 0x34b2df8b, 0xc7caeaf0, 0xcc95610e, 0xe620eef8,
+    0xf45b525d, 0xe2482779, 0xfc227e5e, 0x437b93c3, 0xda769f05, 0x2a54d803, 0x12dd46d6, 0xff172c93,
+    0xf69a829a, 0x1af4e84b, 0xf7bdbc4d, 0xb9aed1cd, 0x80864b1a, 0xfb50e612, 0xce501d27, 0x64586338,
+    0x6a93dcfa, 0x87a5dd68, 0x319f784b, 0xaff885ba, 0x1d2fbc49, 0x5ceba59e, 0xd91c4de7, 0x5e1faa26,
+    0xdf39aa41, 0x5a1c5ee3, 0x04a4aef6, 0x5f199001, 0x34553d78, 0x9cc55181, 0x2145b3a0, 0xc1007f6f,
+    0xb9b34fc0, 0x3472c240, 0x78e7b01e, 0xa4617318, 0x11039158, 0x6f1fb2d9, 0xe0511d54, 0xde9977ad,
+    0x51c68d39, 0x11cbc17e, 0x0c43c7e7, 0xedc78dcf, 0x778ba0e3, 0xee04d99e, 0xf75a9e3a, 0x425d551f,
+    0x257a1038, 0xfdb3a5dc, 0x3a67239d, 0xf8ca9721, 0x0d5e4455, 0xcb3b0a12, 0xa4397639, 0x5932471c,
+    0x46936acb, 0x8b3e46cd, 0x3d8735b8, 0x5cfe229d, 0x89767293, 0xa0763c7c, 0xbd143578, 0x5c59aab1,
+    0x385ad445, 0xc496cb4a, 0x820e9b05, 0x469b38e2, 0xe9ac3df8, 0x25559b15, 0x427176e3, 0xbd1f7244,
+    0x6d04a4b4, 0x9e52c23d, 0x25fb3e63, 0xa48ef320, 0x57834c09, 0x611ae48a, 0x6cad807d, 0x60667aae,
+    0x55b06e15, 0x0584971e, 0x7a0a702e, 0xde4c853d, 0xcfaeaa12, 0x5f707794, 0xc6c78e5d, 0x7c690fc7,
+    0x5d2e606e, 0x3d8b8f77, 0x09a0f4c4, 0xab050ee0, 0xe86efae6, 0x05822d35, 0x358083f3, 0x77016ef3,
+    0x5e8b1bce, 0x9b6c2628, 0x928c8ef7, 0xa0835af2, 0x63ee5d00, 0x7b64a283, 0xd3f8add7, 0xf3bd5b98,
+    0xdb1e3462, 0x31e60569, 0xc3431df7, 0x85ee2399, 0x4b1b0adb, 0xd513f6d2, 0x4a84779e, 0x940abdda,
+    0x047a8230, 0xd1f698a4, 0xc7373d86, 0x3dc95ae6, 0x4bc1e35f, 0x992db742, 0x7a931625, 0xff92abea,
+    0x9bb4ef28, 0x052dca0a, 0x4057f009, 0xe5b58136, 0x98b288f6, 0x31b274b1, 0x68466783, 0x837d9457,
+    0x97a3a465, 0x60a385e0, 0x78dca885, 0xc7805775, 0xd42f3296, 0xd158cda4, 0xbe40bf26, 0xfc9f8e49,
+    0x8aa597b7, 0x9842e7b0, 0x9e8a31f8, 0x3116f5af, 0xc2764c07, 0xd94834d5, 0xd596ffd5, 0x9e5522eb,
+    0xe70f5500, 0xf6ba4944, 0x92f61d82, 0x0078ce7f, 0x97f17cea, 0x85ad066f, 0xc6e77008, 0x92f600b3,
+    0xd8ceda46, 0x8414685d, 0xafa28685, 0xdd33519b, 0xa99e8da0, 0xbd3eb15d, 0xc498c033, 0x29f7b251,
+    0xbe38016b, 0x47895940, 0x8fc4bdf5, 0xbba79461, 0xd6df0fa6, 0x94b50d9a, 0x25475e82, 0xc5786c86,
+    0x42f1995e, 0x185971d0, 0x3a91edb8, 0x2f8e766c, 0x8a99257f, 0xdc7467e1, 0x6f4249a0, 0x03f614dd,
+    0x8220bdcd, 0x019d2957, 0x659b070b, 0xacd0f519, 0xe774b5eb, 0x2339ab6a, 0x50455cd4, 0x8d5861a0,
+    0xd411a42e, 0xa8c6f4a2, 0xa052fd7e, 0xcb776d69, 0x34516289, 0x7f0275e2, 0x01579909, 0x24b5811c,
+    0x2d071a06, 0x811294a6, 0xfe4fa794, 0xdbe35608, 0x7e601551, 0x86ef9c6a, 0x348aed70, 0xc65d6d14,
+    0xa9bbc633, 0x188dbfda, 0xff24a36e, 0x382b3953, 0x1d4b26fb, 0x15191fc4, 0xd38749c3, 0xc914f362,
+    0x016baf18, 0x6a7aaba3, 0x5f1479b4, 0x5c619c13, 0xa006b9be, 0x0f91b6ab, 0x0d6bc5cc, 0xd560317b,
+    0x7f0625c2, 0xe1d73665, 0x591be201, 0x4ecab3f3, 0xea605d97, 0xc83a6abc, 0x800daa00, 0xda47bacd,
+    0xbe4ba48b, 0xef8fdba6, 0xe28c1504, 0xb6213207, 0x8f5b0f29, 0x135a27aa, 0x243d1a5c, 0xe1fbfb84,
+    0x1307cede, 0x8f0f54e8, 0xfe5676ab, 0xc97545d1, 0x6e35d1fe, 0x763dfb20, 0x4bccdb58, 0x406e3329,
+    0x6cf44725, 0xe560f0a3, 0xd2aad923, 0xb3882bde, 0x62e5e5d0, 0x78eb7460, 0x83ce54fc, 0x20b41804,
+    0x7eb823a6, 0x3d20e260, 0xd0f135fb, 0x2de7142d, 0xfa91156b, 0x7afaabb0, 0x4a6479dc, 0x0ef4f4ff,
+    0xd1e15bd1, 0x0dd70140, 0xbfb83ae3, 0x82618599, 0x52d9d2ab, 0xa48390b3, 0x423a221e, 0x2e70bc27,
+    0xeed52b9a, 0x90cd2148, 0x649c043b, 0xe2e9f463, 0x7b345a01, 0x10cecb10, 0x09f2c500, 0xd83118d8,
+    0x3fff79c7, 0x82376d0b, 0xbfb61825, 0x3368e684, 0xe0a9c0f3, 0x6a424b35, 0x08e3e2d8, 0x98c5ce8d,
+    0x257a8d12, 0x65583d0a, 0x2f9a00b5, 0xf436c3d0, 0x901c779d, 0xac70dbc8, 0x60da9b99, 0xac7946dc,
+    0x2e2bd9fc, 0x93420e9c, 0xc87ef73c, 0x94e0bded, 0xbe2adce5, 0x5a1b26e2, 0x123a82e8, 0xd4c088fa,
+    0x1e8474fd, 0x53c2771d, 0xf49c07f1, 0xd44ee62b, 0xa398139f, 0xbbd6626f, 0xa4a4c291, 0x53cb619d,
+    0x76484beb, 0x2775073a, 0xe0b43f64, 0xfbfbdcc0, 0xc3bba7ef, 0x5c250ab0, 0x1c29026b, 0x05947cde,
+    0xade3ffe6, 0x781ae7ca, 0xa568c191, 0xb111a922, 0x9f554b31, 0x763d89f0, 0x11fbc9dd, 0xa9de6525,
+    0xd2e40d73, 0x4d867e58, 0x16c6daea, 0x453c25c8, 0x08c4aaad, 0xbba8bea8, 0xbe6ec3ee, 0xcfce65f0,
+    0xefab0654, 0x601a8f3e, 0xb329c1c6, 0xb98a17d4, 0x7652d896, 0x0dd331fb, 0x2869e3db, 0xdfb4a811,
+    0x58253816, 0xddf90b99, 0x1c519e9a, 0x5e841898, 0x7a900523, 0x5dec8ea3, 0xe159757d, 0x27f127ca,
+    0x1193acf9, 0x1fc774ec, 0xa3a75906, 0x4787f428, 0x087e84e4, 0x471f52a8, 0xf4259969, 0xe0a9a994,
+    0x1fb7aa3d, 0xa394c548, 0x2b3df43d, 0xd2279a07, 0x9e02ad6a, 0xfd5f0693, 0x2500e809, 0x90786a35,
+    0xca6138d5, 0xdce0f1e1, 0xb4a6c935, 0xf0ab0a05, 0x0edfb205, 0xdc2efa61, 0x40611690, 0x5ea758fd,
+    0x5b4c91d1, 0xd7738f8d, 0x0e8fdfca, 0x1f089d2b, 0x33d4cc13, 0xe0792512, 0xb487f8ef, 0xcce6d610,
+    0x9e4722f0, 0x7464c2e6, 0x3b5de2f7, 0x6c1d7e8b, 0x2b98daae, 0x3f7592d1, 0x82a1bfd6, 0xa6032073,
+    0x336f5017, 0x5f81abc8, 0x233c6526, 0xdcc146a5, 0x19482ce6, 0x04c24da4, 0x06ed3f48, 0x1555d3e5,
+    0xf56a45f9, 0x04d6aa39, 0x3d09385a, 0xbbfe228c, 0x7a908125, 0x60519141, 0xe8df3a90, 0x41c266a6,
+    0x3b3235a0, 0x2a0b9529, 0xe4eb80b6, 0xd2cbec86, 0xce7edc27, 0xd5cd63cd, 0xff50a235, 0x830b5800,
+    0x7867037e, 0xce2da708, 0xc60fec43, 0x0c7cb465, 0x292a10d1, 0x8b4953aa, 0x1392f9e5, 0x6e8cc7c0,
+    0x2947da1f, 0xfdf9031e, 0xe8307cf7, 0xc7f4d5a6, 0x2cb95581, 0x5433e457, 0xffbb4eae, 0x8ac6acc4,
+    0x780179ad, 0x57962350, 0xa556b938, 0x03c3680e, 0x1b387a5e, 0x26a08bf4, 0x82995adc, 0xa7bcec66,
+    0x1d5357f0, 0x5e4ad86a, 0x6c93764f, 0xe3df3536, 0x027f5914, 0x2aca93b4, 0xe4c1760d, 0xc7177071,
+    0x3c101e2d, 0x57d7d0a3, 0x3e0cef34, 0x55d7d9f1, 0xe4be5389, 0x47016f82, 0x317bdef9, 0x7c05cc24,
+    0xc76177a2, 0x4b2647f9, 0x06b3d440, 0x375be0ca, 0x33350f86, 0x7c8bc8b6, 0x4d54daa2, 0x1e4ea363,
+    0x65f63936, 0xd300a6a8, 0xe65edaf0, 0xfc84467f, 0x59eb2b2f, 0x24d3f751, 0x74dabb03, 0x816d15d6,
+    0xbeba5cd4, 0x2a12994f, 0x0ad8454d, 0xcce55e19, 0x67043240, 0xeaf94104, 0xff8a2753, 0xb64bf220,
+    0xe188e0a7, 0xd8983673, 0x69266611, 0x6dda70e6, 0x7ec7a83d, 0x80ca41e5, 0xf4b47f93, 0xfd51c96f,
+    0x94f8f54b, 0x869746dc, 0x4f91c56e, 0x81df3ba7, 0xbe9c0626, 0xf9661c37, 0x8cf778b8, 0x8c51bfe1,
+    0x458ee796, 0x7044bf1d, 0xcf44f71d, 0x9d5fd047, 0xf806c884, 0xca6ea059, 0xfca441a5, 0xc25d5e3a,
+    0xc8699910, 0x35f5085f, 0x0407708a, 0xcfe64ccc, 0xb952ba43, 0x28e1d770, 0x73f521fb, 0x58b3d4eb,
+    0x9ae72fe0, 0x6d475f17, 0xa3a44c4f, 0xd8f1f0df, 0x5f46210d, 0xf6e354a9, 0xbbb2f800, 0x27020c67,
+    0xb7956f42, 0x356034a3, 0xa0058021, 0xd6e2ffab, 0xcebe6520, 0xab3ad0b9, 0x97b19ebf, 0x4f8a72d5,
+    0xd4527469, 0x08128a2b, 0xc78d5381, 0x34141534, 0x7383c2f1, 0x8b1d0270, 0x365e41cb, 0x6a9e0f27,
+    0x94df13fb, 0x9fd6aa48, 0x65b2a8d0, 0x33e906e8, 0x2fa86f26, 0xd79bf865, 0x706f1207, 0xd48fb013,
+    0x99856d23, 0x3906248f, 0x7a058854, 0x60fd264a, 0xde5fadf1, 0x0c51cc99, 0x06341607, 0x13219a9d,
+    0x0be58510, 0xe9160735, 0xc42a22a7, 0xe9c01c43, 0xabc108ea, 0xbf469306, 0x8e200722, 0x56f11846,
+    0x12d524bb, 0x8b3bf321, 0x9b33e8a2, 0x36a59590, 0xd06f01aa, 0x10ad6e50, 0x6146e377, 0xe87ab325,
+    0x2b7d9c24, 0x2ce56a2f, 0x55ab9bdf, 0xc99ba89f, 0x0fcb0e3a, 0x62f9f51b, 0x70d13828, 0x4027d1d6,
+    0x482494f1, 0x7b1bd0bd, 0x7b1297eb, 0xa9dbdc11, 0xa3ca558c, 0x42a482fe, 0xbb07875f, 0x451c085f,
+    0x176c7afa, 0x357c6075, 0xfc1162ac, 0xa6a6ab3c, 0x912be7dd, 0xe3546438, 0x6a1e64b2, 0x85f20103,
+    0x1bee77ce, 0xad706154, 0xe3e8817d, 0x38523bbc, 0xd8ea3131, 0xf74a09ee, 0x8c01c631, 0x893c1e62,
+    0x19aea560, 0xd2d77653, 0xfb160e1c, 0x60f07697, 0x701fb307, 0x90e533b5, 0x987fe271, 0xd573de0d,
+    0x51231aca, 0xfb29bc7a, 0x74a0732b, 0x14b16a14, 0x5656508a, 0x8c66d098, 0xeccadbc3, 0xa4517e99,
+    0x30f9c6ed, 0xc022da51, 0x353d4e78, 0xb8561ddd, 0xa463c943, 0xf1f8785d, 0x6822da40, 0x72588cdc,
+    0x1d72b7a2, 0x18168905, 0x5af0f1cf, 0xa3440e6d, 0x0e726618, 0x52550346, 0xec30ffa6, 0x1f58e016,
+    0x373d5be2, 0x2f7083cf, 0x7b9a8ba5, 0x62ba6b7e, 0x8473a0c3, 0x7781c0c3, 0x369636f2, 0xf848bbc3,
+    0xbec3be71, 0x1d514677, 0x02babece, 0x7c0a438c, 0x7e065e58, 0xb2876d55, 0x82d2a697, 0xcda7596b,
+    0x53f127f0, 0x97edd7c2, 0x3de28cdd, 0xe8e5ef5b, 0xaa297ff5, 0xb1f9ffd3, 0x9c25c1a2, 0x9cc33d47,
+    0xa7e32743, 0x8bf5a4cf, 0x3c9b4968, 0x96fa2da2, 0x1f7c8455, 0x0fbf6d8f, 0x57bec636, 0xde9d9c31,
+    0xc6213307, 0xe1ffb366, 0xbc4a89c9, 0x65bc4569, 0xdfe606ea, 0xc3770454, 0x2ef89974, 0x0464a4d4,
+    0xec562f13, 0x7a4cb0c2, 0xbd1e242d, 0x3e75f265, 0xed0e062f, 0x8836df83, 0x512d6bb9, 0xf91673d4,
+    0x978cbacb, 0xed2b1368, 0x61f6d6fb, 0x6de2c608, 0xdc553c6f, 0x01a6987e, 0xaa10cd2e, 0x71c1972f,
+    0x419716bc, 0x67e2082b, 0xdca50eb6, 0x277e3a33, 0x216ff422, 0x1e90e759, 0x985040e1, 0xb28e4afe,
+    0x7561a3b1, 0x7de5554e, 0xea3bad3c, 0x46632eaa, 0x6120e760, 0x38c0ebbb, 0x6c03dd35, 0x8f1860e5,
+    0x2e05127b, 0x4fcd3779, 0xd53083de, 0x999f7972, 0xf4e95d2a, 0x93f116b3, 0xf79cecce, 0x2cdbb13c,
+    0xc3f659f0, 0xc9c4de0c, 0x9817416e, 0x04523bdb, 0x1a5e3937, 0xaffdb57b, 0x8074651a, 0x733ac9d9,
+    0x5226e861, 0x724ca451, 0x499b972c, 0xbba44c19, 0xcf0879c3, 0x7f1fca79, 0x60f17008, 0x3dc99b79,
+    0x0fca2fda, 0xe26a9fbe, 0x3b9fd027, 0x979758c7, 0x22acd25f, 0x7a20e391, 0xcd25431d, 0x729e8374,
+    0x43b99cf4, 0x2327ab62, 0x38d4df96, 0xf0d205e0, 0x1325c01c, 0xb80b13d4, 0xaae09540, 0xebeaac7e,
+    0xcea1256a, 0xc8068c4b, 0x0c2a5cf0, 0xe5b6b642, 0x8f66783f, 0xfa7fd99d, 0x7f03b2cd, 0x9f306e45,
+    0x619694ff, 0x69d84e91, 0x264c7e61, 0xa6d251cd, 0x12f08531, 0xf65b38c4, 0x983b21e5, 0x9e5b2035,
+    0x00000000,
+    0x1ad59806, 0x08dbfd4d, 0x7a14f5e5, 0xa0aa4e29, 0x7062e0ed, 0x7810b115, 0x3d317ccd, 0xa9bfbe8c,
+    0x2958b724, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000059542628294296116473800606342185331454250300267505095498259677\
+                          11687797048224955787888157087447151129073766576998532529631515456541611261952 */
+  { 0x00000000,
+    0xa714efac, 0x53cd4655, 0xbbf8d6be, 0x0ee9dee7, 0x9980d79d, 0xa05ed5dd, 0x4aea1f51, 0xb5270fe8,
+    0x894024e6, 0x26b9989f, 0xb938d128, 0xe2dbca3e, 0x36256c98, 0x7d05b09b, 0xae17765c, 0xf6589709,
+    0xd77cef4f, 0x4349695e, 0x67a7269b, 0xb0f72ee3, 0xed92f345, 0xd816f12c, 0xc4d7e5c2, 0x6a57e862,
+    0x87d5b2cf, 0x3f53fa2a, 0x9126c88f, 0x63f4d97f, 0xe05ccc35, 0xfe344b60, 0xfa6d5519, 0x0ac343e4,
+    0x1fa298e7, 0x238e60ba, 0x87b30f98, 0xe71f7d8a, 0x14b6fb93, 0x32df25d6, 0xad20f02e, 0x8d204500,
+    0xa101b120, 0xea35d780, 0x1a4ff3c4, 0x4c002e4e, 0x002d41d5, 0x68d59d35, 0x9283cdea, 0xe425476f,
+    0x05e025a3, 0xf16fa150, 0xa42dc259, 0xa1ff2272, 0xc4b67d24, 0x5b019bd8, 0x53069d50, 0x93bdee11,
+    0xf0b934b1, 0x3a06ed8f, 0x2e86f1f4, 0xbdfd63b6, 0xd9eff441, 0xa00eab5c, 0x80f0774a, 0x3dd2f210,
+    0xe7853631, 0x7dcbc39b, 0xbe902303, 0x63ccf8f1, 0xa964019d, 0xe56e4e26, 0xa2de91ba, 0x9c846472,
+    0x5799b170, 0x4a667362, 0xbab30b60, 0x929d4194, 0x56398450, 0x5a4078a5, 0x1575164a, 0xc5dabc48,
+    0x59686ca6, 0xeefa3d41, 0xbbf944a5, 0xe80a8d67, 0x94b5cfde, 0x09f738e2, 0x0629f08a, 0x0d7e5033,
+    0x228c07bc, 0xd70251eb, 0xb955e86a, 0x81d7dd56, 0x695b3d05, 0x57c1ab1e, 0x9551faf0, 0xc461f24e,
+    0xbe5c2d77, 0xb16b4630, 0x5e669708, 0xfd09a0f7, 0x97cf183a, 0xab594de2, 0xdb836f84, 0xc45037db,
+    0x55195e5e, 0xfed5de24, 0x6f5bf1ef, 0x46e6ea4c, 0x43ec17a6, 0xbb740ddc, 0xaf9a9e62, 0x26f03bfb,
+    0xb21c2ce0, 0x3fe66122, 0x67c1c345, 0x08b8d583, 0x0976a1e0, 0x3eb3ce6c, 0x361c1a58, 0x7c3f51f9,
+    0x387c7a0f, 0x919c4c73, 0x7795b106, 0xba9fb29f, 0xaf55d435, 0x91b225f2, 0x1babc9c7, 0x25af101c,
+    0xb2bd422d, 0xa8e1434b, 0x6297b9f0, 0xea51e245, 0x1f3a5b18, 0xcc06341a, 0x2cba3e70, 0x7d5c50e9,
+    0xf4e7bd73, 0x1ecac5a8, 0x6f1b8362, 0x61057547, 0xb4fa674b, 0xd7920dcf, 0x3223e396, 0x9b57d200,
+    0x580c74b8, 0x5ddb8949, 0x57b94b3d, 0x7188b7fe, 0xd19d5f70, 0xb40bb4b6, 0xef78f693, 0xcf544b34,
+    0x6d5458b8, 0xd5035a8a, 0xd54afd1f, 0x9df926f6, 0xb6b69f39, 0x53665779, 0xf6efb3ef, 0x426a06f8,
+    0x7eec0593, 0xee178744, 0x2ff0274b, 0xdf6f70a6, 0x1043b3fb, 0xa5ff3ef7, 0x188b33b6, 0x569409bb,
+    0x883d52ee, 0x0433fbfe, 0xbf484611, 0x960cf9e4, 0xc859fd46, 0xbecc324e, 0x37f18f06, 0x5ab5d414,
+    0xaff82f4b, 0x304ab3af, 0x3d17b4ff, 0x3e3e32a7, 0x733e7476, 0x00bb145c, 0x8f28897e, 0xbda82055,
+    0x5f866d53, 0xcb84955b, 0x24d0dafe, 0x59e40900, 0xd0ec4857, 0xb60da5ed, 0x81f81290, 0xc134cc25,
+    0xc615a4a7, 0xdcb26702, 0x33ba4e61, 0x6a309154, 0x2b8ddacd, 0x2f7bb3ed, 0x69d8a528, 0x834fb77f,
+    0xc03aa80d, 0x93fda6d5, 0x0f7dd27a, 0x8558e42f, 0xe654ffb6, 0x1f65aad8, 0xe4f2583c, 0x0d3ebbf8,
+    0x2009dc28, 0xcb21dc1e, 0x422bdb05, 0x80654cd5, 0x0f680951, 0xcfab132a, 0x21229f66, 0x5f6007b5,
+    0x0ebf150d, 0x0290c579, 0xde3f031c, 0x7391e635, 0x866a9b72, 0x2193ffce, 0x82742644, 0x426c072f,
+    0xc660b8ee, 0xf701ec7c, 0x2479ea87, 0xf219951c, 0xd196af1c, 0x63ed88b1, 0x854d934a, 0x7bfe1207,
+    0x903e48c5, 0x42c42a2e, 0xb84e9465, 0xd48682c7, 0x739ffb15, 0xc2723a30, 0x5d76ccd7, 0x9d98ce45,
+    0x27504f5a, 0xe0c802c1, 0x9c05db39, 0x5414afc7, 0x47ecf777, 0xdcd64822, 0x7da81030, 0x06463ec6,
+    0xb191eae3, 0x656797fa, 0x189ccfc8, 0xd115ef66, 0x8efa8c3e, 0xcab62499, 0x6492902c, 0x179abbe0,
+    0xda6a5c48, 0xb163b047, 0x2097a60d, 0xa8b92692, 0xaaa8a02a, 0x5d6581eb, 0xd87a0b91, 0xebe7fb6a,
+    0xd5cc0bc3, 0xf89eef46, 0xda41904c, 0x3cc2551b, 0x19898e15, 0xe4da6cca, 0xc9c0ca44, 0x17b48125,
+    0x5f3b8462, 0xa85f288e, 0x83fabc41, 0xd4286290, 0xc2abe99a, 0x510d19e4, 0xd0247d5a, 0xf065026d,
+    0x0d5d4ebe, 0x182239ea, 0xc320b7b9, 0x7487d345, 0x5d710dcc, 0xb0feeb28, 0x37b86c13, 0xe216613b,
+    0xf59ffdc4, 0xcec406b9, 0x77b48cae, 0xad6a7fff, 0x4676e5da, 0x51660798, 0x570afccf, 0x8e839e21,
+    0x85fe59d9, 0x0920c384, 0xb5c5ff19, 0xd8c14cb4, 0x4cc46889, 0x8fbbbc3c, 0x48807261, 0x0dfa7704,
+    0xa6bfe2c4, 0x87294586, 0xc8b7002a, 0xc1ba9e3e, 0x051328f9, 0x65cbd5f2, 0x135ecdb8, 0x6de3bf4e,
+    0x5db38c37, 0x79c02bf1, 0xd503213e, 0x03c426d6, 0x7d60e170, 0xc0963b1b, 0xa9ea3043, 0xbcd1cf7d,
+    0xc473edd2, 0xa4911572, 0x74daf2c8, 0xdde07c6a, 0x072532ab, 0xdc24fe68, 0x59ca3868, 0x135cc238,
+    0x7da1868b, 0x3c1b3222, 0x7b6e77c1, 0x77f412f8, 0x1108ff56, 0x1412080e, 0x4c22f701, 0x7797bdb2,
+    0x3167ffda, 0x3a1c3722, 0xb459dbff, 0x742a6720, 0x698dc1b8, 0x26637a58, 0xfab1a771, 0x3633b4a4,
+    0x460898d6, 0x1ab2d795, 0x0b14e76e, 0xddae5b8f, 0xeff98659, 0xde5d2af3, 0xfed6d164, 0x236f90a1,
+    0xc67696e9, 0x22e1df54, 0xfa966267, 0xe4227205, 0xbf16b2f6, 0xf92b6781, 0x843f30fd, 0x8933cf8e,
+    0x0b88bdfd, 0x7cdd6c7d, 0x8792a518, 0x02d82b0c, 0xc1ec37e2, 0x4bf0857a, 0xd30be213, 0x85f52f3a,
+    0x71398392, 0x34d687bc, 0x05ee8a19, 0xf76fd9f2, 0x175e98e5, 0x674b662c, 0xefe805b7, 0xf6b60826,
+    0x50706d5f, 0x9e30f04c, 0x127b4fc4, 0x9cc3c769, 0x975d59e8, 0xafc0e4db, 0xaa7012f2, 0x13ccf6e9,
+    0x43eac937, 0xe922f1a0, 0xd69a6365, 0xb9635167, 0xfceda3c6, 0x16a0ba3a, 0x0b903d33, 0x96f23d5c,
+    0x697289c4, 0x3e49c9a0, 0xf4358224, 0x15b01586, 0x9b5eda32, 0xb2835eb0, 0xab7fbc3a, 0xf263d25c,
+    0x78e2f25c, 0x2d349b95, 0x975bdda7, 0x56332556, 0x42d1402c, 0x07d2bdd1, 0xb48437f5, 0x98e96ed5,
+    0x428c82a3, 0xe61ab64a, 0xd518535a, 0x1d899125, 0x24c2e560, 0xc0f7b1c2, 0xa457dc09, 0xd7ac1987,
+    0xf720e3bb, 0xdb2f3fb8, 0xf3c245f7, 0xb751ebca, 0xce99e941, 0x992469f1, 0x537dfc73, 0x476fe3eb,
+    0xe69a6591, 0x8f1b32f5, 0x42177de8, 0x74bc806d, 0x7d890616, 0xe7926ad3, 0xca27d25e, 0x686732ab,
+    0xaa2590b3, 0x0652a245, 0x4db97629, 0x502102ab, 0x9b9568e4, 0xad6a0da7, 0xf3cd02e7, 0xed3cbcf6,
+    0x9118a6df, 0x59dee4f8, 0x62569ab3, 0xf8474498, 0xcc869c3e, 0xa514f996, 0xc11164dc, 0xdf70a29a,
+    0xc9391117, 0x16cd808c, 0x1c6e183e, 0x0b3c634c, 0x3c6bd8f1, 0x3e19bfc1, 0xe19f2239, 0x1161a1a3,
+    0xb3abc237, 0xcd8fcbf6, 0xbb3a4308, 0x1da9449b, 0x9d6c2cce, 0x512e420a, 0x122d6189, 0x4d00f851,
+    0x155a2d19, 0xa84efcdb, 0xab7d5de7, 0xbb70c704, 0x254ba5d6, 0x777b23d4, 0x38ce0233, 0xc7e4f0b0,
+    0x671b16f6, 0x7f0152c5, 0x5b0cbe91, 0xfbf51714, 0xfca4c99d, 0x45717499, 0x3069a551, 0x142e0467,
+    0xdf3520ac, 0xb751b42c, 0x40af60f1, 0xe04ca3e8, 0x1274c19f, 0x1d61b0af, 0x22d09d1c, 0xb841ae35,
+    0x4909aa24, 0xef95cb95, 0xaffe1eed, 0xea0e8a59, 0xc0db775c, 0x8ccdbc52, 0xfe537c61, 0xce003a09,
+    0x18b309b5, 0x726834ff, 0x1211c1d3, 0xd6d5d066, 0x324c1ed2, 0xdce5cbd9, 0x27861c46, 0xe416dbb5,
+    0x1e8e5ce2, 0x8f2a60f5, 0x7a96f73b, 0xfd19acf2, 0xf244ce3f, 0x0882632e, 0xe29d42a1, 0x4797a859,
+    0xf8d8aa67, 0x2e13a7c2, 0x6684a242, 0xfb9e1cc7, 0x1037b2c6, 0x463c3e19, 0x411db1a1, 0xd9ef81e8,
+    0x3cc6b19f, 0xf33ea00c, 0x821bf765, 0x4689df5e, 0x646ada98, 0x0f8db835, 0xe136b076, 0xaad0e989,
+    0xa146ed74, 0xbf723dee, 0xc996e46e, 0x9a91fdd8, 0x15fd3c92, 0x26dcdc7f, 0x6b53444c, 0x3cd02126,
+    0xbb644d31, 0x6a74b15e, 0x0c915d98, 0xc1410843, 0x42c42c6d, 0x5d645ccf, 0x6c71a5dc, 0xd5b9dedc,
+    0x4715ad27, 0x056e72ec, 0x9d91dc0d, 0x25dcc7fe, 0x04cd5318, 0x1d7c346b, 0xa8f07ed3, 0x9029af82,
+    0x55afcc41, 0xe7231c22, 0xf40da45e, 0x083089bb, 0x535d6da6, 0xcccb4c8e, 0x0fcccd3d, 0x296419ca,
+    0x4ec1c502, 0xc2fdf818, 0xdc0da14b, 0xda9f13e8, 0x9ce39acb, 0x90d8f37d, 0xae8d803b, 0x181abb91,
+    0x8f1441b5, 0x32cbe7a2, 0x296c7857, 0xfbab9788, 0xe1b0685c, 0xb18b8690, 0x8a66013f, 0xe6bb44b9,
+    0x17e859b0, 0x69b6702f, 0xabca6ef4, 0xdc70d4cb, 0x2aad9553, 0x636742ba, 0x884a518f, 0xffa07b05,
+    0xaa47d9f0, 0xcfa23a5a, 0xded9959e, 0x08029fac, 0x6e3f0d4d, 0xc866bf62, 0xaf4bbd51, 0x905fb74e,
+    0xfeb3a6e2, 0xdfaa2b5e, 0x5b211f23, 0x3f0bd3e9, 0xa5cd5d36, 0x58224492, 0x58575f65, 0x48d9ab0f,
+    0x5289ca47, 0x70da2a54, 0xb62f5f5f, 0xb484facf, 0x8408ccb6, 0x412e8374, 0x529c1174, 0xa1e70fb8,
+    0x3a17b3ca, 0x6c82bd9c, 0xfb8cf6bd, 0x43f787cf, 0x57147fb4, 0xbd87a998, 0xfff6669a, 0x21bd7d4c,
+    0x99f8ab70, 0x144aa6c5, 0xe7a94582, 0x7a0d638b, 0x4cdd8474, 0x749a8662, 0x5edda4af, 0xee0d73ee,
+    0x46fc49b6, 0x83499ae1, 0xa748d1fc, 0x44a44e75, 0xa99e93cf, 0x1c76c7ee, 0xa0cad50e, 0xe47b404d,
+    0x98f24abc, 0x04529d35, 0x35c2998f, 0xb27d9a37, 0xfc983a4d, 0xc72553b9, 0x150d6953, 0x56aad980,
+    0xcc9665a3, 0xd1a83fd7, 0x38a03e3e, 0xecc0f44f, 0x4deda07e, 0x239ec846, 0x75ba4d4c, 0xca89b26c,
+    0xa41701a8, 0x9421ab2b, 0xc7811cc8, 0x9a1e6cde, 0x8a7bec0f, 0x25da7c84, 0x1c693b3e, 0xe7c22800,
+    0xec0e6e4a, 0x7f3f2883, 0x2a66cd2f, 0xce73ef49, 0x03301930, 0xb2ab418d, 0xeb879cf8, 0xebb5bc51,
+    0xecb12846, 0x22d06527, 0x37cfd5d5, 0x22be1b23, 0xb4c76e09, 0x7b8e93bf, 0xf9f13293, 0x28419d17,
+    0x63312fdb, 0x0f62652b, 0x0d2cb669, 0x833dab40, 0x78a390eb, 0x231ac311, 0xcd03f1ba, 0x75e170ef,
+    0x93993286, 0x1a1e4815, 0xee80ef2e, 0x3e421451, 0x630cf72c, 0x469362b1, 0xfcb94778, 0x1cc3cdf8,
+    0x542b3e53, 0x68d427e1, 0xe2caf61a, 0xa5024977, 0x46ce0026, 0x98b03742, 0x57882bc6, 0x05b20ad7,
+    0xdb811b1c, 0xb25b5c96, 0x43b54082, 0xc60975e1, 0x2591e652, 0x201bacf1, 0x0bca9deb, 0x3f722b9d,
+    0xa2eedd08, 0x1a12d955, 0x99286d97, 0x42077b4b, 0xa6d077c3, 0x025aa916, 0x6d4f6fb2, 0xd406cf75,
+    0x474965e2, 0xdb3d7ac8, 0x9461e2ec, 0x95d6a82f, 0xe568a3d8, 0xb68caea4, 0x00c17c51, 0x6e5c1a1c,
+    0xbf2450d1, 0x36cdeed7, 0x54a82363, 0x9013261f, 0x53909abd, 0x1f02e63d, 0xe133a222, 0x8a40b8dd,
+    0xbde017b1, 0x802e9566, 0x96a8d5b4, 0xe3ce3aa1, 0x42495c70, 0x85e93b43, 0x4a1d28b4, 0xc2ea279d,
+    0x7c90abf9, 0x53c1804a, 0xba25efe2, 0x2cad2d73, 0xc064b76d, 0x6f18a411, 0x9d7454c7, 0xe2a616c9,
+    0xeda13ffb, 0xd70af896, 0x4fbac34f, 0x4724d619, 0xfa8a7b49, 0xcfc5b956, 0xc8795ca6, 0x59dce07a,
+    0xcf0f82e9, 0x70afb1ec, 0x6099b37c, 0xd9a83f6e, 0x776eb7e1, 0xefe48e9a, 0xeb9e4405, 0x6f98a5a1,
+    0x2e47ed27, 0xf80e9b56, 0x250bb356, 0xa1f9d0ed, 0x935adfc9, 0xef1cd8e4, 0x521be50e, 0xa2b37c49,
+    0xa21df2b9, 0x9fbe5056, 0x0e31611b, 0xb0e3fe06, 0x114c2c71, 0x3f1f42a7, 0x0dfe5308, 0x3514b226,
+    0x0ace2201, 0x3dae6d9f, 0x77f48930, 0x8d18d687, 0x22918aea, 0xea011698, 0x5c7ca12c, 0xecc13a89,
+    0xc4eb33c2, 0x416cfc5d, 0x1322a071, 0x03817011, 0x45228a3d, 0xd9038e9d, 0xda429b15, 0xc99044a4,
+    0x21da2462, 0xece5464f, 0x3349d364, 0x7386365e, 0xd6cba023, 0x7377b257, 0xf65fc08e, 0x92f37034,
+    0x44f00ce1, 0xeb21f41d, 0xa7df84e4, 0x007a2fc4, 0xf35497b1, 0x5918bce7, 0x140b1000, 0x58b3c130,
+    0x64f0adcc, 0x3852c815, 0xe9f77c6c, 0x78669bd6, 0x89e92f05, 0xfad0252d, 0xd0843dfa, 0x45afa210,
+    0xf67c76f9, 0x1708e2cb, 0x2e609ada, 0x16d0d1e4, 0xf3b3375c, 0xc38e3647, 0xa9aa6ccb, 0xb4ca4135,
+    0x7dfa23c1, 0xd0417dbe, 0xc9a7183f, 0xd630d2cb, 0xeaa085d7, 0xd72efb76, 0xca4d9f83, 0x734494d0,
+    0xc7e22493, 0xe46a15e1, 0xba7b9438, 0xc63a7efd, 0x45018c1a, 0x59bebec5, 0x19bcabdd, 0x18ad8ca4,
+    0xbf9ba0d7, 0xf88bc764, 0x8e9ff374, 0xf54c33e6, 0x4fcb6fa0, 0x0d89477b, 0x2ee8485c, 0x7e8d762d,
+    0x351490d7, 0x3ba9fb85, 0x6da8e4ac, 0x8ab14821, 0xc993d2d2, 0xe52bbd5b, 0xedc30377, 0xfa118aed,
+    0xfd16c414, 0x92af20ae, 0x251b32d0, 0x35645cab, 0xee2d4ecb, 0x769f72ca, 0xed521fc1, 0x50d2f344,
+    0x93a68edd, 0xdddd148b, 0xf67c71c9, 0x82c40039, 0xcdf9fe2e, 0x6ab35abf, 0xd18d2959, 0x5dde2447,
+    0x93025659, 0x137098fc, 0xb426882a, 0x0f28a43e, 0xd2889ad8, 0xd657e17d, 0xf042cc04, 0x7fd60049,
+    0x2faeead8, 0x6a99a624, 0xfe8b03f4, 0xa4736d68, 0x02e22314, 0x3ad20bbc, 0x632fe570, 0x9afd1c26,
+    0x6603d8c2, 0x3d517dc2, 0xabf0da07, 0x9bd3b54c, 0xc6219d67, 0x1ad3e336, 0xc6b68f19, 0x931414fd,
+    0x939f16a1, 0x5d475176, 0x0c9b8319, 0x458fb69e, 0xc080b3be, 0x709a963d, 0x4f2d2924, 0xc53311c2,
+    0x948871a6, 0x1f15f42a, 0xa7fa2f2b, 0xe6c0c384, 0xd6fcfcdc, 0x1917936b, 0xaca1b7be, 0xb4f93036,
+    0x434d9707, 0x1aacabc1, 0xcf99d034, 0x2ebd439e, 0xb9369e63, 0xf9a7123a, 0xb5539f78, 0xf6b69ab9,
+    0x4996aeeb, 0x778bcfb0, 0x7f16be8e, 0xdf225108, 0x7f27eccf, 0x6d801b84, 0x68e4465e, 0x10272a0f,
+    0x2912013e, 0xb810f78e, 0x07586293, 0x09d63908, 0x46976bcf, 0x22c790bb, 0xbe07e7c2, 0x80967b67,
+    0x4b320ea1, 0xb7337a31, 0x1f26408a, 0x3527d5af, 0x69b009c0, 0x5e2dddbe, 0x438e967d, 0x719ef222,
+    0xfce025f9, 0xd39fa9e8, 0x9b987f8a, 0xd9feb8bd, 0x0661b131, 0x3a2d86a8, 0x4c60e8a7, 0x906215e9,
+    0xebb726e4, 0x4edf897b, 0xd1b8ef75, 0xb5d5bda3, 0xc81cbcff, 0x34e5cb09, 0x3341d374, 0x06822660,
+    0x584bb90b, 0x08273fd8, 0x6703fe83, 0x29c4260b, 0x5f8af35e, 0x54883dfc, 0x12a14c14, 0xa0d69056,
+    0x7ef1c9f2, 0x83a81573, 0x5c410e57, 0x7e593d61, 0xb803bc8a, 0x298af057, 0x612325c0, 0x434c77e0,
+    0x398f514a, 0xe0ba7cd4, 0x5dc2aecb, 0x2d18a45c, 0x646f6c5a, 0x8e0dfd3f, 0xfbc31e43, 0x7063594a,
+    0xffddaeba, 0xa1c1206f, 0x2e1a7ea1, 0x73df9867, 0x181732e9, 0xfc0ad5ca, 0xff998f6c, 0xacab652d,
+    0xad4d0f89, 0x6bc98f56, 0x209bff12, 0x48827732, 0x501e3ecd, 0x8444c58e, 0x43e1ce8e, 0xdaf1e33a,
+    0x88bdd01c, 0xff907062, 0x54aed715, 0x1634d149, 0x041f59c2, 0x2c98a7a2, 0x091adba6, 0xc957e2bb,
+    0x00000000,
+    0x8d6acc02, 0x846dfea6, 0xbd0a7af2, 0xd0552714, 0xb8317076, 0xbc08588a, 0x1e98be66, 0x54dfdf46,
+    0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000029771314147148058236900303171092665727125150133752547749129838\
+                          55843898524112477893944078543723575564536883288499266264815757728270805630976 */
+  { 0x00000000,
+    0x42d1fdb5, 0x59063236, 0x75f47151, 0x9c0e6c82, 0x9df64724, 0x3b7082ca, 0x596c5d06, 0xc624f31f,
+    0xa22fc896, 0xb739a857, 0x5cc7e51a, 0x3d72333a, 0xddad89f6, 0x94130d8e, 0x1c0de4b8, 0x3d20bd31,
+    0xe0ca6bc2, 0x474fe995, 0x4d5aa624, 0x233312b0, 0xfce5d150, 0x6f5ec99a, 0x4a520810, 0x64f6153e,
+    0xf7eaa913, 0xa07aa6c1, 0xa64352bf, 0x2840de24, 0xdacfaef9, 0xe93d85be, 0xf219a141, 0xd55471ff,
+    0x1cfb8a64, 0xe0179ef5, 0x9fd36f00, 0xfef9ed94, 0x879ce926, 0x89d9b1ed, 0x0e88fca5, 0x7311d76a,
+    0x4e7cb872, 0xac2a478d, 0xdae13757, 0x89522eae, 0x5df16123, 0xd90c37c6, 0x45afb875, 0x9ce4adb2,
+    0x115c93f1, 0xbfd68ccf, 0x044d329a, 0x610039b9, 0xf5ad5f1a, 0xcf06caf4, 0xa50fc20c, 0x9fc1953d,
+    0x733c6f79, 0x61fc27a1, 0xe54ac4a2, 0x0ffed136, 0xbdadeb5d, 0x5de48e89, 0xd2940334, 0xbd55ab9a,
+    0x1852834e, 0x21ab9067, 0x7c22411f, 0x8cb20151, 0x0c5b577e, 0xc569d131, 0xe7800cc9, 0xa1615217,
+    0xcf4e1176, 0x96b1fab4, 0x4d66b02e, 0x7d5d51dc, 0xfa886b04, 0x8b5a03d8, 0x5ff17142, 0x2d2bfa1f,
+    0xce01c647, 0x793d1b5b, 0xde99a578, 0x30c02e30, 0x58a71642, 0x436914b5, 0xa083af80, 0xdd0691b1,
+    0xfa836f27, 0x09d0d3d4, 0xc3e60a26, 0xb01020df, 0x0352bff3, 0xd11280eb, 0xe1827108, 0xeb1b524c,
+    0x635f855f, 0xf3a2ee18, 0x69e017b6, 0xf664394e, 0x9996dbb9, 0x66de0689, 0x40122083, 0x14b33ec5,
+    0xb1b39eb4, 0x4f50abaa, 0x753b458f, 0x6eda7ff2, 0x5e58ce54, 0x58a8f6fb, 0xfa105d5b, 0xf824cb7e,
+    0x6deb089f, 0x3e8bb169, 0x6c8d624c, 0x203876ec, 0x71174e51, 0x4abb9ea7, 0xf9543f04, 0x1b59b823,
+    0x19503f6b, 0xf9c663c4, 0xc6ad7847, 0x3b8de882, 0x9487b7f7, 0xc39e4294, 0x83a45e4c, 0xc306e3cb,
+    0x7f0edba0, 0x6b9b1944, 0x9c28a787, 0x4a27da64, 0x343c3cbb, 0x38b9e179, 0xc4f1e9fe, 0x0c4d4001,
+    0xb64c45fb, 0x125a3d3e, 0x4451dd43, 0x845a3d82, 0xda3c64e3, 0x243043ad, 0xb87d2b3f, 0xec711b3a,
+    0x9504de64, 0x0b4001ad, 0x7f34f023, 0xaae99984, 0x8fe74e87, 0x8492ccc8, 0x57f12d3e, 0x1c0a251f,
+    0x5c1ce6c5, 0x11353536, 0x6b425841, 0x30cf8e3a, 0x5e28a4e3, 0x4a5197e2, 0x4dd54628, 0xe2961128,
+    0xbbd8e834, 0xf8a6b7f1, 0x483835f0, 0x85bbddc2, 0xb8efff81, 0x241c6379, 0x1b2a2a13, 0xb777e5f8,
+    0xcfe96f54, 0x140e1031, 0x7910a6ce, 0xc058eb5b, 0x97c6b582, 0x16e04477, 0xa450824d, 0x4f8ee228,
+    0x59feb660, 0x68c3ff1c, 0x946c0533, 0x421403fc, 0x7ce70cb7, 0x5165af1b, 0x9ab960ba, 0xdd9bf9bc,
+    0x0f094dd1, 0xc100d11c, 0xe6bf8565, 0x5b9e5006, 0x90c8a4b5, 0xcab063b5, 0x59b7f4d6, 0xb80a2520,
+    0xc130d5be, 0x094f6bb4, 0xf2e080b8, 0x1b50ad07, 0xac550d50, 0x44d3f8c7, 0x892be95b, 0x69b1d7d4,
+    0x6e5e339e, 0xdd26d18c, 0xf7bcf489, 0x276e5e37, 0x498a8a82, 0x1197d6e2, 0x001ba53e, 0x8d154b51,
+    0x20720f4d, 0xd9920dce, 0x105e96bc, 0x9e130836, 0xdc63c1f9, 0xb2a93b6f, 0xafff5f7a, 0x2c1d443e,
+    0x18f38ef3, 0x05ac1dca, 0xbce87032, 0xd5166283, 0xc7146741, 0xa187295b, 0x98723e0a, 0x968122ae,
+    0xa5efa474, 0x7cb83d7c, 0xa52e3505, 0x8e92d621, 0xbbd9c889, 0x55b884f2, 0x571e8477, 0x79ee5c2b,
+    0x622104e1, 0xcb36bca1, 0xc398aeb1, 0x499fd5ec, 0x180b2b62, 0xbfc04431, 0x598a5bf6, 0x8864b686,
+    0xb24c6b35, 0x2fde5e90, 0x8d4fe807, 0xfb4e7a31, 0x9f66f0d4, 0x98dd98fa, 0x06920a62, 0x50e7b79b,
+    0x5e385839, 0xe749fdff, 0x9067c66d, 0x71f00e9d, 0xe8aa9fbb, 0x84297c6c, 0xfafbc074, 0xaa08c993,
+    0x9d775d77, 0xb2d03ac7, 0xe4576b98, 0xeebeb3d8, 0x5f33a769, 0x70e5788f, 0x94643e16, 0x8077a8be,
+    0x0e97b713, 0x2cefec69, 0x92de1bf2, 0x8b31bf94, 0x80dedecf, 0xdb3754e0, 0x100a6716, 0xc54699b6,
+    0x4dd6a057, 0xb7ce6c56, 0x50c54816, 0xf1b24b86, 0x1a83c7bc, 0xff307c6e, 0x9d27e495, 0xf1af6b11,
+    0x8d94bfe5, 0xd203c8f2, 0xdd4b3306, 0x232f65bf, 0x413edcf0, 0x235d84c3, 0xd9e311e5, 0xfe8c29c8,
+    0x2ae73b41, 0xa1aace43, 0x3864ad3b, 0x9a44ce20, 0x1c5f4ad1, 0x7fc5d6be, 0xe5001c43, 0xfbf272ef,
+    0x051db39d, 0x6eb2129d, 0x0b19fe14, 0x0134ee48, 0x7efce846, 0x63e0184f, 0xdadc7663, 0x4c50a5e2,
+    0x3cd336e1, 0x19c0c1b0, 0x41d4d42c, 0x8528d584, 0x7b25d6e6, 0x43e9b44d, 0xcdeaabd3, 0x8701d26e,
+    0x6180c743, 0x4a0ef395, 0x9876e697, 0xdec32837, 0x42d67c07, 0x6e7dce6e, 0xd8165944, 0x629bb7f5,
+    0x56d89953, 0x4f62a612, 0xc4b88586, 0xa8ad1c7d, 0xb3d84944, 0xb2fef517, 0x9f2d7117, 0x37b8d42e,
+    0xac4e37cf, 0x5db27645, 0x18702672, 0xea396acc, 0x5aa8551f, 0xf6b8d06e, 0xe3867b85, 0x6c8bffe6,
+    0xd1c32e68, 0x06a07ff9, 0x7181364a, 0x7e1f1626, 0x96e5b847, 0x5f630fe6, 0x6c2cb269, 0x22f4a7d7,
+    0xdb0e5b60, 0x37b48d1e, 0x39fc6dfe, 0x45965e77, 0xa5655d2c, 0x8bc1ab10, 0x80ffbbf4, 0x2e5bbc3e,
+    0x3d8e78c4, 0x4fcb7df4, 0x95727b5a, 0x643b0fdc, 0xd6cb38a7, 0xdae045ee, 0x131b25a7, 0xe52ddabf,
+    0x5c36cc1f, 0x4f0e04e5, 0x5bd3455f, 0x0b09529b, 0x71a58d6e, 0xe48dd75a, 0xa3df80f2, 0x47ab69df,
+    0xb70260a3, 0x903a53f6, 0x70add3f0, 0x6ae3b916, 0x617e514e, 0xca7c072f, 0xe358e860, 0x3a5b7a98,
+    0xaad7eed4, 0x155ff8ce, 0xb472a2c3, 0x6ce388d2, 0x60e33851, 0x32f9acb4, 0x3b61c080, 0x355f06b4,
+    0x4f62b882, 0xa3fe41dd, 0x92138e1b, 0x9baafeb2, 0x881c92d8, 0x538612d3, 0x8367f593, 0x971377c5,
+    0x0608df99, 0xd33e7a40, 0xb92cefa4, 0xd6ce96fa, 0x51d08777, 0x2513d7f0, 0xa79d07a7, 0x72d88020,
+    0x3f799211, 0xdacc6bb5, 0xbb20056e, 0xe1a26e6b, 0xbaeb7518, 0xd6d12c42, 0xd9f3f42c, 0xa7e9c7e1,
+    0x76fab8a1, 0x6f76d647, 0xde5c2efd, 0x7df885de, 0xcaa57c1d, 0xebe3c426, 0x7d6b8d97, 0x32cbaec6,
+    0xf21497fb, 0xa2dcadf8, 0x274b921d, 0x5e0dc038, 0x7b35c738, 0xcf18e6e5, 0x7146988b, 0xea280e7c,
+    0xc29b95c3, 0x6a53e51c, 0x68e6b049, 0x9689c2e2, 0x82b016cb, 0x81d8e971, 0xc93a133c, 0x48b8b740,
+    0xbf0576cb, 0x6ddc8a8d, 0xf5648a79, 0x602225f2, 0x52c84c77, 0x0c6d2974, 0xd3ffaf75, 0xa87ab9e6,
+    0x70ce7b96, 0x937a4eb0, 0xa94155b1, 0x7be1915a, 0x9bdada99, 0x1569e036, 0x044948ff, 0x7554b1ed,
+    0x79acffea, 0xe9fa346f, 0xda7869f3, 0xe97edc5d, 0xf3dd5b19, 0xb732b6a3, 0xe1a36eb2, 0x756d78f0,
+    0x04ae5b64, 0xd138909c, 0x110cc10a, 0x79d4f159, 0x7a0e9948, 0x67753e6a, 0x9b703469, 0x9cab4c26,
+    0xf40ca791, 0x000d4816, 0x553c85f4, 0xccb96b47, 0xfaeed690, 0x2f4b10a1, 0xaba4e323, 0x9d6a99df,
+    0xa3c1e31e, 0xb684b0be, 0x06bf71c8, 0xcdd2e15f, 0xc64461d5, 0x0e72c7e3, 0x42820438, 0xa443ea25,
+    0x025498cb, 0xd569d80d, 0x5b705b57, 0xf1a5b12b, 0x8c1211bb, 0x6e4eaac1, 0x6c9b7c0c, 0x083a20c1,
+    0x5854855c, 0xec8f61dd, 0xf99e891d, 0xd4d593ff, 0x09cc3489, 0xc2490a99, 0xdde6e83e, 0x20295709,
+    0xecc444d5, 0xa5bf9137, 0xc3364a59, 0x29e69bd3, 0xd79a437d, 0x694ef1b1, 0x960679a6, 0xece99247,
+    0xc43088da, 0x94a0eb7e, 0x0cd73d67, 0x6e32ee8f, 0x3880c79a, 0x8f4dbe6c, 0x94996740, 0xd14659fe,
+    0xb603103f, 0x859a4bc1, 0x142d5779, 0x0ef1582a, 0x20759fcd, 0x210762fd, 0x8bad93e6, 0x75e13d11,
+    0x70a649b1, 0xbdf29063, 0x10b3648e, 0x56db48a1, 0x9b78ba22, 0x56f3b445, 0x242173cc, 0xa5e76f96,
+    0x9c0a5d2d, 0xaf292838, 0xc6274392, 0xbc1bf97b, 0xe13d2b1f, 0xf3c2927b, 0xdf5815d3, 0xb16a8042,
+    0xd1ec058d, 0x1ad97048, 0x06acd379, 0x69506c94, 0xe89738d0, 0x0603c7ae, 0x19db20c5, 0x67b5443f,
+    0xa8930971, 0xd9e18023, 0xe2200328, 0x6821b13b, 0xb9bfbbd1, 0x60cd106b, 0x42d80382, 0xe1c17e6b,
+    0xfdd1188b, 0x3c40d21c, 0x16718104, 0x6ccce4d5, 0x3da9fbb3, 0x0ff6c678, 0xa00ca85e, 0x93c6f868,
+    0xd0d1077f, 0xa0d01e56, 0xf52d05c1, 0x195efd90, 0x9f23452b, 0x2aaa6a70, 0x5c20f6f9, 0x3e3e1674,
+    0x49bd5fbe, 0x780799e5, 0xddeb087d, 0x1d8b8ac6, 0x1572b5f3, 0x37780cc7, 0xb19cbf8a, 0xc4f2d8f6,
+    0x9204be13, 0x1d424d1e, 0xce54cab8, 0x71789ab8, 0x1a6f2e98, 0xe7e5ae56, 0xd0edba29, 0x8d96ca61,
+    0x45698f58, 0x86f5cbf8, 0x4049f847, 0x81bac2fe, 0xfa091018, 0x9faf7770, 0x78fa7346, 0x95f17a2b,
+    0x86d58c43, 0xd4e5c19b, 0x9843c6d2, 0x66bf8314, 0xa6739c3a, 0x8f19e883, 0x1a3ae294, 0xb0827ea6,
+    0xf9b2482a, 0x1befd3af, 0xa7a8de45, 0x3a5c5350, 0xc5976e5f, 0xa50b2f8f, 0x7944db77, 0x30af8f59,
+    0x08db21c6, 0x3cdb57f0, 0x2edcb9b3, 0x67d902b6, 0xbeac92fb, 0x98f36eec, 0x61e811f4, 0xd0de8364,
+    0xda21dcaf, 0xab5a9094, 0x1a8d6848, 0xb43a3722, 0xec2563a4, 0x7c258722, 0xeadef673, 0xbb2d023d,
+    0x1f0cbee8, 0xd146e484, 0x89d8e8fb, 0x8a14c426, 0xceb84809, 0xb00ed42b, 0x1703fd6c, 0xd7bca8e3,
+    0xe1d490ad, 0x31a17acd, 0x18f4529b, 0x5532db64, 0xf499f5f2, 0xc8176acc, 0xa0ce4c0d, 0x7451e03d,
+    0xd03bd829, 0xc1bef835, 0x79680c32, 0x251b2f62, 0x7c631d40, 0xe39ea492, 0x0a471fcd, 0x7eb0ba6d,
+    0x55fa80d3, 0xf3913c0d, 0x25b0d085, 0xf3bb903a, 0x12f00423, 0xdb992c7e, 0xfed2c9d5, 0xeb44a6d8,
+    0x79441bdc, 0x3cd30960, 0xcacacd41, 0x32c2d8bf, 0xd6854b5d, 0x1d1293e6, 0x9e2f8399, 0x1e662998,
+    0x055968bb, 0x032116e7, 0x1ff5a8d5, 0xd30728a8, 0x17b64f0b, 0x6ee19865, 0x2ff042d0, 0x59fd218f,
+    0xf2719c2c, 0xcd7f2035, 0x81c49792, 0x1dd5e298, 0x7bd50a18, 0xe617a125, 0x9b7e71ce, 0x5e73563a,
+    0xf173dd7a, 0x1f49f914, 0x686b85b8, 0xfef10a3e, 0x435c263f, 0x042c91fa, 0x79236748, 0xdc6de7dd,
+    0x3b197501, 0xda19ebbe, 0x7435f258, 0xf6c01911, 0xac568f95, 0x1cdd3cc8, 0x58eab9a5, 0x0e2e1e0d,
+    0x35b9d5b1, 0x4fda1297, 0x1494d3c2, 0x7791b1be, 0xdc0b0129, 0x8a6b601c, 0x47399ab5, 0x18664708,
+    0xcc1709ad, 0xc487a0c5, 0xd211a9d3, 0xb4660707, 0x0b6e4d39, 0x9036a18e, 0xbcda7466, 0x82f014ce,
+    0x44782314, 0x700dc39a, 0xc500eae9, 0x9d026cbd, 0xbb4b6d9f, 0x2facf05e, 0x15ad01c9, 0x9991105c,
+    0x9f07ce37, 0x0280bf39, 0x0285aa99, 0x62ead1a1, 0x4d40832b, 0x5f99dfa9, 0x3e1c8c66, 0x292deebb,
+    0xc25091b7, 0x01146b36, 0xae32984a, 0x0e702dd6, 0xb6c85bf1, 0x2756e330, 0x028abf7a, 0x6bb33d2d,
+    0x69fc40fa, 0xf2730979, 0xb7a8f1a8, 0x8ef6cc5e, 0xd4f0fe0c, 0x268716fd, 0xfefc460d, 0x1c09409d,
+    0xfc9a4292, 0x82ececef, 0x5a09eebf, 0x7661b20c, 0xca079b00, 0x0a94d658, 0xb76dc3d7, 0x0d75acee,
+    0xc628070c, 0x291f961b, 0x6fa4b2af, 0xda99d6dc, 0xef1d740a, 0x45cf0aa8, 0x803e35cc, 0xd5e5b6ed,
+    0x39541820, 0xb486886d, 0xb88891bb, 0x5312a7ed, 0xf49005b2, 0xb13675d1, 0xb0e7dc6c, 0x5d6b19ee,
+    0x146340da, 0xbd21b443, 0x0ec66022, 0xd0301184, 0x95b8b277, 0xb1508d8d, 0xdddef194, 0xb5c22617,
+    0x5bf1a40b, 0x51711324, 0x05628119, 0x3d24a22b, 0x541d6334, 0x0655d83e, 0x52aa329c, 0xabad108e,
+    0xa3bf6f41, 0x5bbe416a, 0xbe67b354, 0x5cbda99f, 0x7515c056, 0xdf99a249, 0x80839d68, 0xdfbc70f1,
+    0xb1d2e162, 0x83cdcb80, 0x3b942871, 0xfdac99f5, 0xa4693a9c, 0xeb4b430f, 0xff8764b8, 0x867d3875,
+    0xb6049748, 0x60340033, 0xbc25403b, 0x38e37a82, 0x6b6f75e6, 0x204d0cde, 0xc4179d72, 0x071a7bb4,
+    0x6b283c7e, 0xd4d91e4b, 0xe129c87f, 0x9dbc34e1, 0x8d221408, 0x83b26c5b, 0x6bbaa1b0, 0xda36090e,
+    0xd95aff59, 0x5ff5c97c, 0x9033d964, 0x155fb6ed, 0x26ed6a01, 0xf4d502cb, 0x16d7f9e7, 0x85afdacc,
+    0x9242d9f5, 0xb8f5d63e, 0x40362243, 0xd203fd9d, 0x8a168f20, 0x446e3ccb, 0x197d417e, 0x9bccf283,
+    0x2d532c67, 0x54d1c5da, 0x1da4edf1, 0x0119324f, 0x3a1174aa, 0x7eb3c32e, 0xea5912d7, 0x0d793549,
+    0xcdabafda, 0x267fcbd4, 0xfc62c1ac, 0xc94c33a8, 0x357f41c9, 0x2540d95e, 0x012ffdb4, 0x60308d9c,
+    0xf680d025, 0xa46702eb, 0xe5901f53, 0xa0585374, 0xa1b386ec, 0x32eca8b1, 0x4a32b554, 0x67ffed7e,
+    0x205d7707, 0x6eeea134, 0x8aabdfe1, 0x28ca9b81, 0xbf3e02c7, 0x877c8e47, 0xe7fa9770, 0x21c877a7,
+    0x89e45c7d, 0x78463ca8, 0x86b48063, 0x2769bf6e, 0x9a794782, 0x5ada6556, 0x332aec73, 0xd6ffc126,
+    0x6e4830d8, 0xce9e0331, 0xd07772a5, 0x0563736e, 0xd807c10c, 0x536ad853, 0xe8047571, 0x4395cce1,
+    0xc1a2868f, 0xf0d7874a, 0x3c639584, 0x8aef8e94, 0xbaed7051, 0x4b93b3ba, 0x75246c82, 0x92a5e1d9,
+    0x7f778320, 0x06ddc479, 0xff1fc891, 0x452315bd, 0x7e153c38, 0x40704f9b, 0x50f1298e, 0x881fb9c9,
+    0xa0360a2b, 0xfaec8e8e, 0x41c00f62, 0x0f5d754f, 0xd5eb7b08, 0x225e1d4f, 0xce879963, 0x937a7b6a,
+    0x01cfa8d6, 0xd5790e35, 0x41c3c6e7, 0x71879460, 0x5d4737f1, 0x1cab4425, 0x01c7aa10, 0x5681c563,
+    0xed06d5e8, 0x409d75af, 0x63ee34a3, 0x4758b2a6, 0xe8140038, 0x1635043c, 0xc0365abe, 0x55020806,
+    0xea37064c, 0x2a8a9938, 0xeb4ce9ca, 0xa2fb3e1a, 0xac439f5b, 0xa6fbde69, 0x7ae1262b, 0x8d62f02d,
+    0xa2e81c1e, 0xaa2bb2a1, 0x6bd4f957, 0xa70a717e, 0x0d167524, 0xc5a2ca45, 0x47080845, 0x908a3156,
+    0xd4d2d05c, 0xb8278943, 0xe1fed72f, 0xfc273f2d, 0x6573d803, 0x35e131fc, 0x31c52308, 0xd3a9ee13,
+    0xcb1ee9cf, 0xe7742c2a, 0xf14e7758, 0x2eb38ed6, 0x81eac18a, 0x15d8f82a, 0xaefa8f02, 0xe9dac748,
+    0xb659ce5e, 0x909ce483, 0x46bc85c8, 0x29a4b85b, 0x3d40c883, 0xf2fc442f, 0x39c88397, 0xe28cb2eb,
+    0x506d6010, 0x91fc19d4, 0x9c7e6875, 0x6f3c8d02, 0x01444e62, 0xb5c55caa, 0x115c1fcd, 0x82e4844d,
+    0x81fabf1b, 0x1951cee1, 0x20c98a39, 0x97755eaf, 0x410b5a71, 0x0d195893, 0x883c9372, 0xefc93511,
+    0xa4fdfe1e, 0x38b6bbda, 0xb8992c59, 0xafb94eea, 0xa92f5cf0, 0x366382d4, 0xbd8474fd, 0x0e0f4149,
+    0x75aadb15, 0xc9753456, 0xa5ecd889, 0x0b6e06ba, 0xa7420cf3, 0x5ff95170, 0xb39b78b2, 0x9ecb1cd8,
+    0xff776c70, 0x872212c4, 0x5c6e70c4, 0x17c6fb5c, 0x39388b94, 0xc73b8ef8, 0xecfedc8b, 0x2f8c5539,
+    0x4be3f7bd, 0x379b75c7, 0x91c52ede, 0x6da11562, 0xc967939c, 0x41fdf314, 0x79870c38, 0xe30864a0,
+    0x00000000,
+    0x46b56600, 0x4236ff53, 0x5e853d79, 0x682a938a, 0x5c18b83b, 0x5e042c45, 0x0f4c5f33, 0x2a6fefa3,
+    0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000014885657073574029118450151585546332863562575066876273874564919\
+                          27921949262056238946972039271861787782268441644249633132407878864135402815488 */
+  { 0x00000000,
+    0xc434059c, 0x3c97eebe, 0x112364ad, 0x39da89fa, 0xd3c5c40d, 0x5aae9c2c, 0x8e887695, 0x7d741d44,
+    0xd67bf51c, 0x932b9ec1, 0xf86052c8, 0xc76d0067, 0x75edd264, 0xef89b60c, 0xd9ca87e5, 0x2d38e0fd,
+    0xb0677405, 0xa72938eb, 0xe17f94ed, 0xac2c4b3f, 0x656b846f, 0xc26f2b36, 0xa3349fae, 0x7b1c942e,
+    0xf4e575e4, 0xefda32cd, 0x56db787e, 0x2def2f89, 0xe4c4db51, 0xd0d62e32, 0x6b7a0c52, 0x4ec18275,
+    0x60690bb1, 0x8aa84f0d, 0x24e1dd08, 0xa82a720d, 0x970227f8, 0x96949988, 0x746cf988, 0xacae2079,
+    0x8d72cea5, 0xcee86738, 0xdc119038, 0x454004d2, 0x162a64e5, 0xab1ae971, 0xea7158d0, 0xa75299a9,
+    0x7a7e5000, 0x2886ed78, 0x6c9b32a2, 0x9a5befdd, 0xd1f14c33, 0x85a49d4b, 0x9ac3a291, 0xadd57709,
+    0xde3bd938, 0x98e83bf6, 0x1dcf27f4, 0x2803a2c1, 0xe3e871ff, 0x33668f35, 0x68204289, 0x116901e0,
+    0xc8ef3d6c, 0x3100e92c, 0x5cb375d7, 0xfc58031d, 0x3bc1a8ee, 0x82c4a609, 0x0fb9d0c9, 0x9276e1f2,
+    0x1e65bd55, 0xdccd83b4, 0x58efe3e4, 0x52b04783, 0x637320d6, 0xa9fcc1ab, 0x5d4af60f, 0x53112436,
+    0x927f302d, 0x3a302b99, 0x94d8360f, 0x5970e507, 0x0817724c, 0xddc092b3, 0xf6c92d12, 0xcb571ee1,
+    0x004f4fe7, 0xdd5b2fdc, 0x3b7799ec, 0x2f6273af, 0xb02372e6, 0x0d8edd75, 0xbc2f57a4, 0xeb28a318,
+    0xfabafdf7, 0x15435d39, 0x508853ce, 0x0b83d843, 0x87af5781, 0x9ddd54f1, 0xf9e653a1, 0xf5b3d43d,
+    0xda46c5ea, 0x6ed50aba, 0xc9127256, 0xae6c28ba, 0xb919247e, 0x32fb705d, 0xa224d67a, 0x4c1aefd2,
+    0x42eec0f2, 0xf4fae299, 0x5c0580d6, 0x69b976ba, 0x27e85d15, 0xc0df2c6e, 0xea100242, 0xdcedbe53,
+    0x0a0423ff, 0xf1bf148c, 0x9e17ceb3, 0x85816114, 0xbafa22b6, 0x8a1f2008, 0xf31dd87f, 0x56ac448f,
+    0x210461c8, 0x8aa2c3b8, 0xc925a877, 0x60d493c9, 0xad98381d, 0xc8a6494b, 0x52dc1df4, 0xa5321e76,
+    0xf5dc77f6, 0x3afe8c99, 0xf8a8f00d, 0xa15c1375, 0x2c14d634, 0x859766a9, 0x3f78d47e, 0xe5d2a961,
+    0x85484cc0, 0x50139042, 0x96acb4bd, 0xcabcd5cc, 0x85e721d5, 0xac404137, 0xed430a87, 0xc51e7978,
+    0x916ab790, 0x99efb307, 0x33f9fc4f, 0xea0264db, 0x840dcc02, 0x7a2a27aa, 0xb3fae6d7, 0x51e0d7fc,
+    0x04cb32dd, 0xb7b45807, 0x83e08ee4, 0xe6e7ffc2, 0xe4dea1dd, 0xdd4fa4a9, 0x25865d1f, 0x8e4adc77,
+    0xb38efe91, 0x3af6d797, 0x3da1c4dd, 0x2d93fa00, 0x00d97be6, 0x38bdbf0d, 0x5e27f2dd, 0x101ba02f,
+    0x4d247ad1, 0xac9ccfcb, 0xd55f2ff6, 0x5840a22b, 0x779416f5, 0x98f5e3a8, 0x9c619dfb, 0x38599076,
+    0x1eb36c92, 0xe6b9d88c, 0x898900dd, 0xa2bb3a26, 0x8a385e8b, 0xed21ecb8, 0x57ae6517, 0x220a43f1,
+    0x780b7159, 0x9b58dcef, 0xec48dead, 0x958964ab, 0x6f585185, 0x230f17f4, 0xcea20ca6, 0x10045743,
+    0x18cacc72, 0x7c9571c0, 0xad5f9827, 0x32c4222e, 0x43568b8f, 0xd94f1eec, 0x36043579, 0xd3eb041e,
+    0x2ff2d262, 0x3cd23aa4, 0x2b7c9b8c, 0x1b58a356, 0x758b58bf, 0x1db74742, 0xf285cb7e, 0x4c48dc8a,
+    0xfa127b5b, 0x9630811d, 0xf2d3c40f, 0x874a1513, 0x9763adad, 0x746f7ec0, 0x394c5c67, 0x7b64b971,
+    0x909c6321, 0x6b36077b, 0xfcbcf651, 0x03960e93, 0xf2eb6625, 0xf3cf48e0, 0xb91ad0be, 0x5e8c839c,
+    0x9fd7c46e, 0x547601bd, 0x65e58456, 0x18a4ef80, 0x0476215f, 0xa5fe52f7, 0x4a4ff450, 0xfc9e72d7,
+    0x509a4e64, 0x72e61023, 0xa2d30f37, 0xbcbb4101, 0x7888e2a9, 0x906d537c, 0xc98aa11b, 0x4444082b,
+    0x341e2495, 0xebad7c89, 0xdb5391f0, 0x59d98640, 0x953a8b6c, 0x35a2e7a5, 0x4c641565, 0xa33e8e95,
+    0xdb05cd92, 0x8029f67e, 0xf0658d33, 0x82b59463, 0xa54b6524, 0x109b816d, 0x5fee32fa, 0x6a1087f7,
+    0x34d325b8, 0x59f956d6, 0x5ef90b21, 0x67e8f309, 0xa84da58e, 0xe4076313, 0xedb4ee12, 0xf1090d8a,
+    0x7f96b070, 0x204b4a4d, 0xd9598e7a, 0x390bb26a, 0x46a1597a, 0x052c5c15, 0x0ffd1784, 0x3413ea15,
+    0x91068198, 0xf507cd2b, 0x9b1b6f0e, 0xba772be6, 0x19201cba, 0x8d5e5d33, 0xbc9ef8c6, 0x523e0c40,
+    0xc2f9762e, 0x7832d86a, 0x78feb3f6, 0x1001ef97, 0x6316dcb3, 0x9b8740a6, 0x74f0f25e, 0xa016b97a,
+    0xa7be832f, 0x146085f3, 0x48ae6956, 0xfddfe81b, 0x359936bc, 0x16a8a434, 0x4088630a, 0xcafc79d1,
+    0x445a973c, 0xf3843512, 0x5641b275, 0xf42b7e45, 0x2a11f8dc, 0xa4323cf2, 0xe4c9b9cb, 0xedcbf0df,
+    0x4a567f14, 0x0849b1f4, 0x2deba30f, 0x6a2c0c5b, 0x5a22063e, 0x75cea89e, 0x90163e09, 0xf883bced,
+    0x93dcb497, 0x1d918004, 0x886c4931, 0x046bf039, 0x5a426f10, 0x07e95d91, 0xd9f050e1, 0x01dbbfef,
+    0x974cfd09, 0xd4c87993, 0x3628e280, 0x1a06add8, 0xfe975295, 0x52d7448c, 0x9b0b7cb3, 0xdf90359a,
+    0x2fe426df, 0x0f55b969, 0x74124429, 0x0bfb115a, 0x078d8910, 0x2bd52ed6, 0xb037658c, 0xf87a4cc3,
+    0x1b44f3d0, 0xa4b05cba, 0x7d6e5100, 0xdb118583, 0x3d2412ce, 0x0c5458d1, 0x490b9cfb, 0x1b4fbe70,
+    0x05c081ae, 0xdb859334, 0x48395be1, 0xd0130e1e, 0x6d05423c, 0xaa0ff7bb, 0x477fc060, 0xa23d3dda,
+    0xcd914ca8, 0x11fbf5e2, 0x6ca76d98, 0xd25efdd4, 0x33b3467b, 0x7a0d3aa9, 0xc7c9d40c, 0x22f02e7e,
+    0xb5a2d5d0, 0x8c15ee1a, 0x578d39e0, 0x45bdec4c, 0x2d838f00, 0xbb0dbc49, 0x46e6906e, 0x51ebff39,
+    0x56dd0f28, 0x03c92120, 0xd0d18e2f, 0x16bf4939, 0xfc2b5365, 0x79d74a8d, 0x44dc92e4, 0x78e7606d,
+    0xcac566b2, 0x6554a1ca, 0xf55636b4, 0xdfe22f76, 0x1045a789, 0x29038743, 0x9080bba9, 0xf8d98b62,
+    0xb958724d, 0x58d4ba02, 0xf04bd356, 0xd24b37e0, 0xaeb3d4ad, 0x72f3f7d7, 0x44c27fcc, 0xe2bdba33,
+    0xb22e5305, 0x817483ab, 0xe6943980, 0x89c34123, 0x0411ba1e, 0xa46d0816, 0x728b3d11, 0xbd47eede,
+    0x256a3f3c, 0x55438400, 0xbad23e0a, 0x5fee4837, 0xe7d9c2cb, 0x2942544c, 0x71b5f917, 0xd9534466,
+    0x3b0d1e62, 0x6966ad23, 0xc7c04b55, 0xb6883ee7, 0x27bb48e8, 0x39c7828f, 0x27abe678, 0x23e1c9e4,
+    0x43b5f743, 0xe48811dd, 0x689ffc6a, 0xb4560549, 0x6eb11d77, 0x7698ecfb, 0x42fe6e55, 0x39a23ecb,
+    0xe967d83f, 0xe977507d, 0x960b4f07, 0xb04d9bd4, 0xdb5be7c9, 0xcb2eadaf, 0x046cc7f0, 0x2f1d5360,
+    0x3b17b3b1, 0x47d39451, 0xde8926f3, 0xc2aa7f2d, 0x9ce8eb3d, 0x763d54cf, 0x41e733e3, 0x59b7016e,
+    0x32c2488e, 0x527ac243, 0xb017f813, 0x3e68809f, 0xed9e8314, 0xa0d230da, 0xc7b15595, 0xf05e9296,
+    0xfb611bb8, 0xd517fd75, 0xc6212622, 0x20b84474, 0x6a7b5c6a, 0x98e0d4d8, 0xb8022c32, 0xe1bd9378,
+    0xb2d587de, 0x1586210c, 0x202b581d, 0x09d5cc41, 0xec973daf, 0x1969d87f, 0x8e44a9f4, 0xd6268f48,
+    0xe26d418a, 0x1419c420, 0xe79134c7, 0x6bc65b19, 0x374d2c72, 0xf2b2d055, 0xe02e5210, 0xa86907d4,
+    0x3437d7a5, 0x8502b450, 0x4c06f1e6, 0xa4cdfbfd, 0x9fd48e91, 0x0a43af49, 0xb46b6272, 0xf9cdc240,
+    0x725c71cc, 0x2c84eaa9, 0xf1305e93, 0xb2a449ae, 0xe2cde735, 0x66309ca6, 0xb4e12f55, 0xf17982ad,
+    0xc4b1af04, 0x3afefca8, 0xdca817d8, 0xd6814678, 0x1a8bfc8d, 0x3fb1b612, 0x449d520a, 0x3d1c1d15,
+    0x282aa5cb, 0x0ffc8752, 0xfc131e35, 0xbc9f66b4, 0x60dc1ff2, 0xc65016e2, 0xbd8ede62, 0x5d6c336b,
+    0x63e1ace6, 0xade9a5cc, 0xb7e2003a, 0xfab9ffff, 0x2e63adc0, 0x1dc40291, 0x3c489195, 0xfd04411f,
+    0xdfa3e3f1, 0xf7a47295, 0xd0d27db0, 0x7193087a, 0xbfa7f58b, 0xd2c526b7, 0xb7d221e4, 0x3263477f,
+    0x7a386619, 0xbd017818, 0xf6c82061, 0xbfb0f085, 0xace5c4f4, 0x2a9b2eff, 0xf2e826eb, 0xda5ccd6d,
+    0x83e907d3, 0x952d21e2, 0xc4006543, 0xe6000a1d, 0x509b47fe, 0xc4e59de9, 0x94e9837e, 0xcf9d9547,
+    0x5797884a, 0x2cf5a6af, 0x18388abd, 0x2860cc59, 0xb3081bf9, 0x881dcd78, 0x6afbd2f4, 0x31a6a8b7,
+    0x1c8d5ead, 0xd0c671c2, 0x48759475, 0x1f0bb900, 0xc48d6203, 0xdaaf15e9, 0xba2e2889, 0xce30383b,
+    0x7ec6c3ab, 0x7b9f899f, 0x1aef8cc3, 0x61321b50, 0x786f94d1, 0x5d36dbda, 0x0fea1f72, 0xf21aa03d,
+    0xeff0ee5d, 0x49293a07, 0x2cfcea90, 0xcdcdaeaf, 0x3c38d0f6, 0x57b24c89, 0x73873ee9, 0x1af642b2,
+    0xa81e7758, 0x57628113, 0xf2f5d776, 0xc037ab36, 0xab5583de, 0xf2de27b8, 0xb80ab219, 0x8478d80b,
+    0x01f38a41, 0xc626f60f, 0xf032745f, 0x629e62d5, 0x7c6b671b, 0xdd7357ea, 0xa3fc28bc, 0x08e053ac,
+    0x0a89dcc5, 0xedf4891f, 0xabc389ae, 0x8f55fd7d, 0x9ebe8b7e, 0x6f9c7904, 0x4ee3b07c, 0x6b98c728,
+    0x30f4db1a, 0x4c99ea38, 0xd91f9151, 0x7527a0fc, 0x4292e993, 0xc96a447c, 0x31d115fc, 0x83aa7e1a,
+    0xf2530287, 0x87272325, 0xd8425748, 0x48051a83, 0x3c9dea9e, 0x3a290daf, 0x673e2deb, 0xe7f0b7ba,
+    0x0970ce64, 0x687cdc72, 0xdc23e497, 0xab565237, 0xc6f012ff, 0xa5c3e467, 0x124f9955, 0xcb3fa179,
+    0x6dd93731, 0xd88e4f5c, 0xce028d84, 0x2a00c06f, 0x04e46a6c, 0x5c96d50e, 0xc77f1a08, 0xd18e1a4e,
+    0x39106779, 0x7fa9085c, 0x9942d166, 0x2270ddf2, 0x1890201d, 0x39857f8a, 0xfd2a027b, 0xdd93ab2e,
+    0x3ebd5981, 0xe9ccf876, 0xc3daeee2, 0xabc16e58, 0x19eea63c, 0xe0769f89, 0x1381137e, 0x4a148721,
+    0x2898579e, 0x67809cad, 0x7ad8bfb8, 0x2cb437f3, 0x6d4d259a, 0x8556098e, 0x2262b1c5, 0x83f78720,
+    0x46cfd857, 0x985d9c81, 0x65be4b84, 0xb0f9b694, 0xe99a5a14, 0xf04a175b, 0x32293af0, 0x95b50c1a,
+    0xd062cac9, 0xacf4cae5, 0x88415dbb, 0xdb24c0a7, 0xa187c0b9, 0xeaaf7485, 0x148376d5, 0x2b82fe5d,
+    0x020bd44d, 0x17976896, 0xcd709688, 0xe9834200, 0xc63d19cc, 0x379c8110, 0xd4bebe81, 0xd8b4049d,
+    0x88b1c8d0, 0xfe34e312, 0x3bdbedf0, 0x959036e7, 0xce2b10d5, 0x123d85f2, 0x55ddfe22, 0xf4699ac3,
+    0x6091c0bc, 0xdaf79659, 0x1da3e46e, 0x8f7b0e28, 0x5ac2473a, 0x27eb1a28, 0x994ef76e, 0x0e68d4c5,
+    0xb48bf9a5, 0x66acd066, 0xe4ada690, 0x4a8fa733, 0xaaff7f1e, 0x0963f0f8, 0x0877ff3d, 0x4399d3fe,
+    0x2a0b2a56, 0x39e0d739, 0x2e2d1817, 0x25328fbd, 0x0bd5d9e0, 0x811fb1f9, 0x880cf4d8, 0x38e394a0,
+    0x1cee8909, 0xee8a93ce, 0x73c686ca, 0x247af682, 0xb8708268, 0x69b02694, 0xe3086cbe, 0xf3586d81,
+    0x7f7ef0cd, 0x5c6e65ce, 0x1fae6a98, 0x2f3a9321, 0xa6434846, 0x953593c7, 0xe346d9e7, 0x600136ee,
+    0x0b4d114e, 0xc41265c2, 0x72e281f5, 0x34d94a38, 0x1c456c9d, 0xb4070b15, 0x8e90d2da, 0x93a764a0,
+    0x2410c6b6, 0x2aac1d77, 0x3923cb50, 0xb24b1993, 0xc4313f38, 0xbce4c29d, 0xbe4b068f, 0x67361578,
+    0x22286a64, 0xc74d1d61, 0xb508f137, 0x8f765cc3, 0x92103c28, 0xb34892a1, 0x512ef78e, 0xc8ba00aa,
+    0x55dcda16, 0xb216e4d9, 0x63578934, 0x73500c34, 0x85ccaa23, 0xf0537be9, 0x6fd471a2, 0xea739d4b,
+    0x8e955116, 0xcf5f41fd, 0x7cf4a660, 0x02821e6f, 0xa634c0df, 0x889ae96c, 0xbc217192, 0xfaf47c1e,
+    0xccacd5f2, 0x44da25dc, 0x770ac0a9, 0x00b99dec, 0xbd91076d, 0xd34e28af, 0xcda3653f, 0x7b89a3d1,
+    0xaa08be9f, 0xbc3cf53c, 0x85f2b734, 0x2700c403, 0xb70c394c, 0xbca0dea4, 0x9b03e785, 0xe45c7e57,
+    0x081499d1, 0x2f08010c, 0xecf626c1, 0xd826ccad, 0x3dc2ca93, 0x979956cf, 0x83ea3f44, 0xd79800b8,
+    0xf33e744c, 0xb0335ed8, 0xa7b19150, 0x3d21636f, 0x6b0f42b0, 0x091d4b86, 0x73820171, 0x335badb0,
+    0x45164cae, 0x862e4c78, 0xf530bf67, 0xf3b567be, 0xee1e6a89, 0xaebe0b17, 0x6f23998e, 0xb85be98f,
+    0xca2e31d0, 0x2eb41653, 0x594f4c65, 0xd447bc68, 0xcfc49eb3, 0x17c3c42a, 0x88c75de3, 0x653ca5b0,
+    0x0d592c2a, 0x27e9fa76, 0x2a0332c2, 0x18bb82b4, 0xe8fae0b2, 0xcb7820ff, 0xb8b690d5, 0x8a216c1c,
+    0x944ec134, 0x13fd3e48, 0xa007fe0a, 0xdb02f4c4, 0xe5b20605, 0x073793f5, 0xee02916f, 0x362bd22a,
+    0x523ee2e9, 0x24300cfd, 0xdc57d856, 0x9495b798, 0xda46bdf9, 0x84e9dc35, 0x5fad5ae1, 0xe367bd34,
+    0x0ca45246, 0x8fd198cd, 0xe7f0ed37, 0xa97e3faf, 0x50ced72e, 0xce020707, 0x7b44915e, 0x832fdff1,
+    0x5248976d, 0x78a3af51, 0x95498d61, 0x626c53f5, 0x8de5f939, 0xf1f40665, 0xfb14fc9c, 0x87061eec,
+    0xcc4b3e32, 0xba3d6aa0, 0xacdfb5e1, 0x99b9b304, 0x5358353c, 0x01e0e123, 0x542b41de, 0xdcaf9d67,
+    0x8129369c, 0x4fe8342a, 0x5908b7d4, 0x8e7b110b, 0x78c5a40a, 0x180cc8a1, 0xeb0abd75, 0x9af97d66,
+    0x8b2d94c3, 0x1489eb50, 0x09bee6df, 0x1c1a392b, 0x5b98fa2c, 0x004aac52, 0x32989d59, 0x0d15980e,
+    0x61722311, 0x08b3066c, 0x0abe7e89, 0xedb5e816, 0xf03296ca, 0x0e3004f6, 0xf2e671ae, 0x1f2fe0e4,
+    0xe87d88e6, 0xd625a531, 0x77f5286a, 0x051d29f4, 0x548366b2, 0x1f6bf4c2, 0xb4e01ba0, 0x89790b96,
+    0x2edd8052, 0xb0dfbfe8, 0xe743faa2, 0x55df94a5, 0x0edb7a11, 0x73fd1b04, 0xa8d4f5a5, 0xd2a0b929,
+    0x9cc9ca7d, 0x4a6112c8, 0x08bf6392, 0x0b41f9e4, 0x2f340782, 0xb9712f8c, 0xbe790678, 0xdc59688f,
+    0x38786de0, 0xf8c3afbf, 0x7a767441, 0xb55485df, 0x651fe0b9, 0x47a8fadc, 0x3c796ded, 0xc55f6004,
+    0xab7162ba, 0x3981a6e4, 0x3ba6d59a, 0x8458c59a, 0xc0d48e65, 0xb433e359, 0xfd965bad, 0x13ec607d,
+    0x4deda418, 0xa854b968, 0xccbaafdc, 0xbbeaba2f, 0xa526a3e8, 0x3594776c, 0xe2185eb4, 0x0265138f,
+    0x9e9c3be1, 0x1e1a295b, 0x78f30294, 0x6c91290c, 0x122cdb1e, 0x3ef79705, 0xf72af4c0, 0x2c1c974d,
+    0xbbf3fb5a, 0x56a8ae05, 0x47e70ea7, 0x29adc621, 0x56ee1574, 0x32baa7f0, 0xb75a790f, 0xc314a5dc,
+    0x2573eb99, 0x35166b05, 0x086b2f00, 0x1c51dc61, 0x3c623038, 0x9d1682c4, 0x0b6ea633, 0x26e6c083,
+    0x1ed7429d, 0xd1eb4a37, 0x99ac2053, 0xc3156e29, 0x18a6a582, 0x09ec99cc, 0x218c3136, 0x30444bf0,
+    0x9a3a28d2, 0x2f0a60bb, 0x8ed47a0c, 0xd8ee9647, 0xc0357b50, 0xf645747a, 0x3977a0f9, 0xd186b036,
+    0xd9dfe8bf, 0x0b699389, 0xbc34faf8, 0x35dc0351, 0xb4c87f9b, 0xc5eb1f82, 0x96c900ac, 0x3870ee21,
+    0xffad0a1d, 0xc909c1f7, 0x2a79950c, 0x083c9232, 0xcb0c4251, 0xfef6f735, 0x548ee352, 0xc2679ecc,
+    0x33bae892, 0xcf69ae80, 0x8e070c08, 0xc2f9cd85, 0x2e755f32, 0x5e4cafc4, 0xdd730dd9, 0xcaa93fe7,
+    0x04f799f9, 0x54bbebd9, 0x2e99250f, 0x98f72fb4, 0x57bea321, 0x4194469f, 0x12f0a1e2, 0xf114eb3e,
+    0x00000000,
+    0xa35ab2ff, 0xa11b7fa9, 0x2f429ebc, 0xb41549c5, 0xae0c5c1d, 0xaf021622, 0x87a62f99, 0x9537f7d1,
+    0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000007442828536787014559225075792773166431781287533438136937282459\
+                          63960974631028119473486019635930893891134220822124816566203939432067701407744 */
+  { 0x00000000,
+    0xfdcb9402, 0x3ac15ea9, 0x3909b99f, 0x8780db2c, 0xaefb45da, 0xf7ebc2b2, 0x00dcf5a1, 0x938a9965,
+    0x4ed379e9, 0x9cd7c356, 0xc04d1bec, 0xbb7f95ef, 0x29587f90, 0xed58f0d3, 0x448509a9, 0xb0bd7f57,
+    0x48b04343, 0x03ec1c61, 0xd4bc327f, 0xa52e2106, 0x4c164988, 0xb12f60d4, 0x3f9f1120, 0x2273638f,
+    0xc0ac195d, 0xd94eff35, 0x59ad0b62, 0x2eb6e784, 0x0cfd7476, 0x359d22a3, 0xe15f3453, 0x64fbd540,
+    0xdba02a1d, 0xf4f7cb4b, 0x4d6c6d8c, 0x5ab7e645, 0x7495ec05, 0x94e60402, 0x35b3a081, 0xb2c96237,
+    0x239197d8, 0xad2dc1c1, 0x72bdedd2, 0xe14672eb, 0xf969ff1c, 0xcbcb9e38, 0xd08be23a, 0x8c4ed9b5,
+    0x4b2326be, 0xeb27fb9e, 0x15226ad6, 0xe24aac4b, 0x61449434, 0xc4590353, 0x7a3e70e0, 0x9a3ddc82,
+    0xe6650975, 0x230ff462, 0x1273aa8a, 0x65a81b63, 0x758ebf5d, 0x3faa8cb2, 0x87a12909, 0x54b20056,
+    0x36f22fea, 0x32f63d37, 0xaeaa1150, 0x0434418e, 0x127a7aa4, 0x63df4618, 0x5126665c, 0x09d528b6,
+    0x065e6ced, 0xf0ba545d, 0x1cd32ec8, 0x23ee9dee, 0xf409b1ed, 0x02b22f30, 0x8dfd2355, 0x710677f0,
+    0xebb06dce, 0x9ccbc819, 0x67b8133a, 0x9312944a, 0x355c0bb0, 0x12ed6bf7, 0x5fce570b, 0x3f2d35ca,
+    0x59f22e12, 0x27fe367b, 0x7ec8c1bd, 0xa3619b00, 0xe5bfb147, 0xbf26ed8d, 0x0144e45e, 0x13d373b2,
+    0x8900421e, 0x388f3f91, 0xe912e1c8, 0x9076ee1b, 0x406d9b2c, 0x1a18b409, 0x1e63995a, 0xe82c4c5c,
+    0xd8e3ae52, 0x321eb6f4, 0xd2147dc0, 0x7a334820, 0xea3a7bc0, 0x67020200, 0x6eb4de59, 0x9e9867a3,
+    0xa30f98d4, 0x5d391162, 0x37d250d0, 0x8e7351a1, 0xaab3877e, 0x3e82a0be, 0x3f6a3764, 0x0133f1c3,
+    0xa42b0348, 0x5973fb08, 0x48791571, 0xd087e116, 0x3eed39e2, 0x7c78ee9f, 0x799889b6, 0x36f587bf,
+    0x12c5dca4, 0x46862c8a, 0xcf26c4da, 0xcb10e967, 0xa28dd048, 0x475e1e16, 0xc3ebdf68, 0x16a18ee4,
+    0xe8efaf68, 0x62b95761, 0xa0534bb7, 0x7d8cb3bf, 0xed726700, 0xa76d9d9b, 0x71f13165, 0x1f65751e,
+    0x9233780e, 0xe37b48f3, 0xe8a8dde3, 0x3592c896, 0x5a381674, 0x1574df95, 0x1d5e49c4, 0x2b8e1149,
+    0xd603b796, 0x864cfbdf, 0x7f27d23e, 0x8d828967, 0xc85f2f1f, 0x2464227f, 0xf8252612, 0x4dac0212,
+    0xd27f4443, 0x136c4c05, 0xbc25dc57, 0x7882934f, 0xac98e1be, 0x4216c46a, 0xd8a4f25a, 0x48a86568,
+    0x722dd759, 0xa789ec7f, 0xf9c2aaf5, 0x1ed1686c, 0xb22036d1, 0x0154f056, 0xb12010f5, 0x0db80876,
+    0xf31a50c4, 0xacb902ef, 0x98b79af8, 0xa6b6b0ca, 0xaf8dc7a0, 0xd368cee1, 0x1020376d, 0x5051e216,
+    0xcafdad8c, 0x729fb317, 0x6582781d, 0x5bc205bb, 0xeebc1aa5, 0x653394bf, 0xa19b4b91, 0x0f70dad2,
+    0x20d82079, 0x480f4575, 0x685ad875, 0x8fa66165, 0xe07ff7e6, 0x086b588a, 0x376fed77, 0xa4198bfd,
+    0x577959a9, 0x56343b62, 0x5e8a8574, 0x85664f30, 0xb5860988, 0xacd22f27, 0x41d4fd2d, 0x2ec9afa6,
+    0x8043195c, 0x12aa8a7c, 0x60331176, 0x11be4f2c, 0xa61f87a6, 0xe5c1f667, 0xe6a2ff7e, 0x2532816e,
+    0xc0a0a0f3, 0xb8682c90, 0x1d6f0f06, 0x04be947f, 0xf7e67bd6, 0xd6712824, 0x45943c3f, 0xe68e428b,
+    0xe9b9ca48, 0xe63bfb62, 0x6d100e4c, 0xb1ef8c31, 0x039522f4, 0x553c900e, 0x06d4a3ee, 0x994375ee,
+    0xe3277360, 0xbc49e6f1, 0x5c000e0f, 0x46aa79cf, 0xf94cc7a5, 0x479f893f, 0x197f506f, 0xf594929c,
+    0xde6d439f, 0x8c511cd7, 0xd88ac7be, 0xd8f7dd90, 0xc6cbf016, 0x3ed5ca8b, 0xa1d69346, 0x15554532,
+    0x5f8aaf2c, 0x56b7b363, 0x1fd948ec, 0x697b0580, 0x40f2d9b7, 0x0418503d, 0x5d8d14e4, 0x87720208,
+    0x4745d105, 0xffe54b1c, 0xb1185f18, 0x28974d6e, 0x07184a86, 0xec50d70f, 0x0549074b, 0x73ed90f5,
+    0x476d2d74, 0xbe4fca78, 0x68e3b1ec, 0x1dd62422, 0x5bb8259e, 0x97835554, 0x798d94a4, 0x70c92600,
+    0xec9e129f, 0x0bfdc9c1, 0x165f6a0f, 0xc1e4743a, 0x7e0e4106, 0xc75afd42, 0x8bccb0f9, 0x07b203a1,
+    0xd7a74757, 0xad5fca1b, 0x6546b37b, 0xbdbec693, 0x6742113f, 0x2ebd7808, 0x7c463e71, 0x1f4b4db7,
+    0x3d9cd821, 0x606e6e18, 0xa73397db, 0x10d045eb, 0x0eecdad1, 0x00e700b1, 0xc530a8bf, 0x5d7c8ec9,
+    0x3a873d35, 0xac715a05, 0x2ae1150c, 0x657b7b3f, 0xa77b7119, 0x1c53f11b, 0xe90191c4, 0x32bdae4c,
+    0xb0b3fc33, 0x79eaf166, 0xffead21b, 0x7a851277, 0x0e05e5d6, 0xe60d4eba, 0x3d8dabb9, 0x1edcc473,
+    0xa2fae9e1, 0x2068a9b5, 0x3a2d8bff, 0xc47ebd1a, 0xfe97516e, 0xe357c893, 0x3fa1dbb3, 0x97c39fe2,
+    0xc0d12583, 0xf9da86cd, 0xaf907e04, 0x92af7a57, 0x840dbe1d, 0xc2017fbc, 0x238dc622, 0xcf4f393d,
+    0xe338cef2, 0xd33250ad, 0x14c46697, 0x43a926ad, 0xeb297356, 0x076a6ff1, 0xe85666d0, 0xe738dac0,
+    0x136bc63f, 0xbe5c9415, 0x86b0c6ef, 0xf9e19907, 0xfe4bfcc4, 0x11b9cd18, 0x04fbdff3, 0x0253207d,
+    0x47ce6e4f, 0x6921fcdd, 0xfbaf25f5, 0x3a59e549, 0x53a5c8a2, 0x63ef3194, 0x8110240a, 0x8697d316,
+    0xcdf1f8b7, 0x35c4f346, 0x8918dd31, 0xb28b953e, 0x29b9af2a, 0x31645f5e, 0x395f6f28, 0x4e4aeba5,
+    0xacb584b5, 0x85701448, 0xef589d53, 0x71303a74, 0x4659b844, 0xcee201c1, 0xbfba9a39, 0x1a7679c5,
+    0x6df75865, 0x41078986, 0x804e1136, 0xf95aa700, 0xbaa8c50e, 0x42a6170e, 0x73b88d49, 0x45348caf,
+    0xddf7f1c8, 0xa4ff8c14, 0xa4e430d9, 0x0d6d9f3b, 0x7ecf5880, 0x1257e0d3, 0x7200cc21, 0x8336fd16,
+    0x94f6706e, 0xbbbeaaa0, 0xdc013299, 0x2fa22576, 0x0a829438, 0x80bf0691, 0x0aa7ca3b, 0x2e0f2edc,
+    0xa9bff7bd, 0xc6fb10a0, 0xf9662896, 0xc791167b, 0xfa1a387a, 0xe3adcf59, 0x7da8bec9, 0x8e7d753d,
+    0xf0bdb018, 0x1ded071d, 0x5022988c, 0x0ffa2181, 0x9ad95117, 0x20b84762, 0x0f98d7a7, 0xb1c77f91,
+    0x12381b96, 0x7c13fa92, 0x433601ef, 0xd3ce957c, 0x872a074f, 0x6eedc8bf, 0x6083845e, 0xe9c8d84c,
+    0x6affeefb, 0x9af439f2, 0x9b512472, 0xecf3ceb7, 0x27604e19, 0x651cd785, 0xa176a306, 0x8f550afc,
+    0x1d5842a9, 0x29b7c775, 0x2ba6e340, 0x3fe7881f, 0xdbfb7ae9, 0xb6cdb816, 0x754d3c0a, 0x2f77aa2f,
+    0xb031a747, 0xf536510c, 0x5eda5740, 0xce134202, 0xb1fc1d6d, 0x97e8e0f6, 0xadf7410e, 0x25f50b50,
+    0x706d816e, 0x34de8230, 0x5db0276a, 0x661ead3b, 0xd10b7be9, 0xf9a6eb64, 0x68aae0fd, 0xd33b0191,
+    0xe2fc5e6a, 0x984402a3, 0x2222bbee, 0xc56e9fb3, 0xd1d68ed4, 0x0bc11d61, 0x15e621a1, 0xc5587c12,
+    0x38e949e2, 0x6b3500fa, 0x58a5de3e, 0x3a97fbc3, 0x162cc16d, 0xa1f15cf2, 0x3dd80978, 0x81b685a7,
+    0xf6d90e85, 0xd2091c6d, 0xea2116f4, 0x50d38c3d, 0x6acc34e3, 0x9d55701f, 0x4c4a0f2e, 0xba5bb31f,
+    0xe9d2c2e7, 0x3a339e5f, 0xec72204a, 0x12a7a596, 0x8a8e60e8, 0xb09b9782, 0xc766db2e, 0x7979aa99,
+    0x082082ec, 0x5dd29c53, 0xf170b1c2, 0x8aebde9a, 0x866a1270, 0xe6b57844, 0x0ccf53da, 0xee75095b,
+    0x871173d9, 0xe8d8efb4, 0x7bcdecd7, 0x617b7c28, 0x909b5539, 0x83adcb2b, 0xcdc8a0ca, 0x36dca637,
+    0xfda28f41, 0x7200ee82, 0xe809e4cc, 0xbbbcbf57, 0xa93f8011, 0xb7f8c14e, 0xbf13c0e1, 0x6d1ce03e,
+    0x4c101bef, 0xafb2c4ae, 0x8eb26fff, 0x6d5694b0, 0xec0a2db8, 0x3708a60d, 0xdf252d80, 0x54c131d1,
+    0xa4114e85, 0xa8542376, 0x0fa0e53b, 0x3ba65eae, 0x8ade9dee, 0x6ed05a14, 0xd9d83af3, 0x79cace73,
+    0x683fe390, 0x746cc4d6, 0x64b6db4a, 0x9d966440, 0x21fa36f3, 0xc808a0e1, 0xe6757ef0, 0xceb32fdc,
+    0xf7d66d8b, 0xa37ea58c, 0x34de27fb, 0x1058eec3, 0x61fcc51c, 0x6db14956, 0xd29f8f72, 0x3855f072,
+    0xc58c39ed, 0x0170efe6, 0x7f826fc3, 0xe55aa8dc, 0xc9450d69, 0x4a95c33f, 0xa4726963, 0x72c2d331,
+    0x4fef0d76, 0x2d05df26, 0x4dc4b634, 0x703c7469, 0x61d137ad, 0x14e44092, 0x93f90c14, 0xf2c94cd6,
+    0x71faab37, 0x0e3f2003, 0xb5f2e93a, 0x27a94b63, 0x182d9c23, 0x1aae3ca8, 0x387d2dc4, 0x5db6df7f,
+    0x6ef0824e, 0xcb7f2f11, 0x30bdbd13, 0xf181a7e0, 0x4e8821da, 0x85b9b56c, 0xf32b8395, 0x04ca2d55,
+    0x191f2f1c, 0x372babd2, 0x544f88c9, 0x0183c567, 0xa75b1b91, 0x65e282c4, 0x435d9d56, 0xf3528635,
+    0x52354b7c, 0xbbfe3ab1, 0x29dfa90c, 0x728f4cda, 0xc784173c, 0xee9d4dac, 0x7cc57645, 0xaf829577,
+    0xaf76b363, 0x75382b2c, 0x5feca903, 0x03833929, 0xafd14754, 0xcd305723, 0x0802b970, 0xc8eb18fb,
+    0x15760f51, 0x95f73637, 0xdbb6217c, 0x54231a0f, 0xa959e3fd, 0xc34ef940, 0xae0bfe48, 0x2e4ecbf6,
+    0xcafb8c00, 0xb8c6d8ba, 0xd9017786, 0xf011a07d, 0x4dcd2cbb, 0xf82ae6f1, 0x63c6ce9b, 0x5a274235,
+    0x8f3efcb0, 0x8326ff8b, 0x73a309fc, 0xd8f4ecc1, 0xbb6fe876, 0x4583e275, 0x1f0c34d3, 0xd44027f6,
+    0x24aadc71, 0x747faf40, 0xf936ce1d, 0x6f3f8fa2, 0x4f0d7eee, 0x7e154f55, 0x0f802154, 0x0b9b5ac7,
+    0xd9752c7c, 0xf731d962, 0xdbf09f32, 0xfd2f9b0d, 0xff5e44bb, 0xb0943119, 0xc965bf63, 0x5f9ef8e1,
+    0x2a5570e3, 0x71477371, 0xed008686, 0x7a756fc2, 0xc845a606, 0x11b30002, 0x56d158a8, 0xc5cc19b9,
+    0xc99327a1, 0x11b13044, 0xa048b604, 0x2d55d98f, 0x64706cf8, 0x96f69064, 0x091abb71, 0xc9183393,
+    0x0d569559, 0x1df1147b, 0x5cd3ab7a, 0x41ffaa64, 0xb38afa62, 0x07e2468e, 0xeb624064, 0xb2708f6e,
+    0x9af00fb4, 0xc4bf1850, 0x53535297, 0x6b716d37, 0x759f4d32, 0x1cb0a907, 0x748da759, 0xe72cddfa,
+    0xeeab58e8, 0x0048835a, 0x6870bb77, 0xaa4b2818, 0x3d0a46f6, 0xc6352e8a, 0x0335df89, 0xfe3e5d01,
+    0xca9634ca, 0x2a31430d, 0xf0a57259, 0x29e3efc6, 0x3f69ba96, 0x589c27ad, 0xfbe604eb, 0x7034a6d8,
+    0xce7acf6d, 0xd589a340, 0xb16c5a7d, 0xc59c11ed, 0xb312e820, 0xeabb71aa, 0xe3ec7f05, 0xa570b4ec,
+    0xf1fbdb96, 0xab3ab5b5, 0x53f0aa15, 0xe87c0961, 0x86d89a47, 0x8cdd1cb5, 0x28255384, 0xda3461eb,
+    0x6af1b2f5, 0x51a33003, 0x0a837a57, 0x05feff5e, 0x17c09f74, 0xad7312d5, 0x1d575a73, 0xc4028560,
+    0xd62c747b, 0x0ad4d90b, 0x5de13228, 0xc749ba22, 0x6552513f, 0x43fe30c3, 0x03ee83ce, 0x45b3b68d,
+    0x5f09c7ce, 0x73893c2f, 0x4f512365, 0x97bab3b3, 0xa21afc04, 0x916ea54d, 0x88db597b, 0xf1458d81,
+    0x2b73f69e, 0x1604f92a, 0xb054eabb, 0x3789b7ff, 0x8f7ec332, 0x62976eaf, 0xe6508c15, 0x29c88d67,
+    0x8327e310, 0x95d2a83e, 0x5546ad48, 0xbdfea1e4, 0x5c966c0e, 0xc483c90e, 0x7080a1c3, 0x18b94eb7,
+    0x87156881, 0x44018740, 0x7ae4d5f9, 0xdee4645f, 0x9ce78938, 0x827c8f3a, 0xede9fd76, 0xe664e2f1,
+    0x04162432, 0xc5dbf0f0, 0x9614a7d7, 0x3ee8fe85, 0x8560ae1f, 0xd70b3b54, 0x1557eb6d, 0xdafc671f,
+    0x8260b0be, 0xbef15fef, 0x1efdf786, 0x69da29b4, 0x0623d3b7, 0x97ce3986, 0xdd59785c, 0x88a910c0,
+    0x751c69a3, 0xd3a1d0f4, 0xfe950aed, 0x1d3f15ba, 0x37785537, 0x184d8866, 0xb7449ecf, 0xf03bfac9,
+    0x4b3b7c87, 0x6734e37a, 0xc7f12d33, 0xcf617f23, 0x6efaa85f, 0xa1d9cffe, 0x8495d9c1, 0x098c0d8e,
+    0x31218418, 0xecc80f56, 0x54070164, 0xb0406f5d, 0xb7e9c186, 0x519ccc14, 0x5dafd04e, 0x308bf28e,
+    0x04a6f537, 0xc5b04982, 0x5114b782, 0x43610bf9, 0x16f646fc, 0x5929f1c9, 0xfad2615c, 0xf94ab4fe,
+    0x59fdf87b, 0xf9513c47, 0xdcb38e12, 0xbfb5cdb9, 0x5cc6b607, 0xa4a3e95b, 0x2c23b39e, 0xf6f13237,
+    0xa05d46f9, 0x470ce1c8, 0x15469107, 0x177f009a, 0x1ad0565a, 0x6dd8569a, 0xeb3d290b, 0x54592e57,
+    0xe3aa01bc, 0xa29ebafb, 0xfd1cdc36, 0x8e91b921, 0xf2353cfe, 0x24c230ca, 0xa72ac8be, 0xb2cb8600,
+    0x9efd2f34, 0xf1e482a9, 0x3d237080, 0x313b0f44, 0xe30d031f, 0x880078eb, 0x118e5339, 0x152c3f0e,
+    0x3b87bf92, 0x7cfdb24c, 0xd31bcf53, 0xc5805f37, 0xd5ca75c1, 0x81e2dc8c, 0x1ff0ffbe, 0xe9951483,
+    0x6c81ccce, 0x394d7be3, 0xfad9e62d, 0xa914be5d, 0xf6f6e0ba, 0x7a40c00d, 0x59089873, 0x193dc72a,
+    0xbd130719, 0x7200f04c, 0x728e033e, 0x9708110c, 0x6c44dc9c, 0x191f31bc, 0xd00ebb96, 0x6218bbc1,
+    0x68de2b55, 0x88345a1b, 0x3198a309, 0xdeaf2ac8, 0xb0798c37, 0xbd210e9c, 0x34b21dfa, 0x696fb709,
+    0x60805142, 0x2f4b42f1, 0xf8ea734a, 0xf9ce0666, 0x2cb7f412, 0x35acd6ac, 0xe3ae7685, 0x15e9615a,
+    0xc92aaaad, 0x15c5cbd0, 0x1a581c69, 0xeb9afbe7, 0x449ec51d, 0x5e3f610c, 0xbc67d865, 0x3cb7a213,
+    0xfbb6bfd0, 0x5c116097, 0xf267f939, 0xcda55d14, 0x88b499b3, 0xdfe7ba09, 0x2330b0bf, 0xe307fbf9,
+    0xe1fae43a, 0x395a49b7, 0xcee01e88, 0x23aa790f, 0x1da9a321, 0x14fcc57d, 0x67f36113, 0xcf486bfd,
+    0xa66e8cf5, 0x0637ce70, 0x34ed944f, 0xb754cd71, 0xd8ec4f89, 0xf7962e80, 0x68801a87, 0xabc29bb7,
+    0xa7632977, 0x2f02e6cd, 0x261a2258, 0x4e265ea1, 0x1d10d6e4, 0x5adf1680, 0x52591c8b, 0xd219c106,
+    0x0518ae20, 0x71e0ef30, 0xe0f686bb, 0xf9cebdc9, 0xbe731561, 0xac4f8a36, 0xa6872118, 0x0f235f01,
+    0x66f27e30, 0xe3647509, 0xf502fb8e, 0x5c5373b9, 0x81d622a5, 0x8591d538, 0x3756edb3, 0xfb180b0c,
+    0xf99abca4, 0x80e11007, 0xf72252f1, 0x5d03f177, 0x54d7b810, 0xc2e2cbe0, 0x83af5568, 0x5f277310,
+    0x22a7dcb6, 0xa76c6dc5, 0x90cf1d62, 0x87dae556, 0x95b1e187, 0x9b1b8fcf, 0x85b0f741, 0x94dba936,
+    0x722d9f14, 0x78d1734f, 0x68ab6514, 0x9612962a, 0xf9d02b59, 0x07d8ba77, 0x34880249, 0x4ff1082d,
+    0x5888fdd4, 0xa7d6dea0, 0x7af105d8, 0xbf2fffe9, 0x239a658a, 0x8c83f4a6, 0x8280bc3c, 0x13ea2e57,
+    0x2054415d, 0x62d1a2b2, 0xbeea4f03, 0x83e64045, 0x6906f70a, 0xb471fa80, 0x4b162d3b, 0x3cdd6610,
+    0x3813e479, 0xcbab007f, 0xc1aa4848, 0x4ecf1f6a, 0x900af50e, 0x0a25ff83, 0x117443bc, 0xae5a38fc,
+    0x2637b0cb, 0x8b902c5f, 0xf15095c0, 0x20be3f9c, 0x8414fb43, 0x7c77409f, 0x92bd6861, 0x3e2c8168,
+    0x27d7e443, 0x424432cc, 0xa3d32669, 0x81d6eede, 0x6cd83a68, 0xe1308333, 0x9840a664, 0x8914548c,
+    0xa8c71d43, 0x612365bb, 0xcdd11ce5, 0x28a34048, 0xc89a6ea0, 0x2b9a4426, 0x12f4fb71, 0x3febd8a1,
+    0x87953e09, 0xbf5f0e20, 0xee5a2991, 0xccd326c6, 0x3309ffa4, 0x4368a326, 0xf6e9ba2d, 0xba9eb79a,
+    0x1ebef9d4, 0x5500d02c, 0x8c1c3677, 0xb01f90cf, 0x5c0f59b7, 0xf5df4982, 0xe7d0a65f, 0xafaa6f49,
+    0x00000000,
+    0xd1ad597f, 0x508dbfd4, 0x97a14f5e, 0xda0aa4e2, 0x57062e0e, 0xd7810b11, 0xc3d317cc, 0x4a9bfbe8,
+    0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000003721414268393507279612537896386583215890643766719068468641229\
+                          81980487315514059736743009817965446945567110411062408283101969716033850703872 */
+  { 0x00000000,
+    0x2f082675, 0x83199572, 0x0de5767c, 0x681a1e4f, 0x23431178, 0xeabb4bad, 0x19afeeec, 0x6cfdf052,
+    0x9f6bcef8, 0x69daf513, 0x3950eb20, 0x3702f916, 0x3be0af78, 0x4efe648c, 0x13d08905, 0xd6b7ac39,
+    0xa455262e, 0x709d6cb7, 0xe9a69f32, 0x4a0a1108, 0xd9ca13d8, 0x03ff81a6, 0x83ab31e7, 0x5fb60603,
+    0x1a313dd5, 0xa485d930, 0xb6f71daa, 0x3054bb29, 0x174eb1a6, 0xb2c1f1d0, 0xd0329853, 0xa8abcc39,
+    0x4b00c767, 0xbf0981df, 0xeb5e4c4f, 0x51fa4f94, 0x7a3bbe1a, 0xaf4788d7, 0xcb2ee688, 0x46597e30,
+    0x8e5db261, 0x53b8c1b3, 0x11b9d5de, 0x7b401e4c, 0x1936a91e, 0x5c784b8f, 0x64cd3d48, 0xabc014cb,
+    0x2c8ddec7, 0x8a403094, 0x81ad8a61, 0xd62bd4f8, 0x3e4843aa, 0x1cc1cc03, 0x1a57f60a, 0x68785d1c,
+    0x2e4a160c, 0xa7ccaee6, 0x9e56d6d7, 0x8f1bf4f8, 0xa1557e8a, 0xd686579a, 0x65c41de7, 0xd3f3fc5b,
+    0x2087157c, 0x0a05e13c, 0xa331015f, 0x302a3dcc, 0x08892931, 0x133ace7c, 0xa6f64a85, 0xe48fea80,
+    0x116ada46, 0x5b9794ad, 0x1374553b, 0x0a2606b5, 0x126025b7, 0xf0bc48cc, 0x5692c020, 0x7609c1d4,
+    0x20c78b1e, 0xbe9d1d94, 0xd3509478, 0x6b90b770, 0x3a94db13, 0x3a852df9, 0xed3b3570, 0x838ce30b,
+    0x2e9c8cd6, 0x5b6e7df4, 0xea97dddf, 0x1294b5e2, 0xbfd66f8f, 0x08c11a86, 0x01adecbf, 0xd3bcd23d,
+    0x6866bbe2, 0xb789eae0, 0x3e69ea19, 0x9f1db592, 0x88543822, 0x7499aab9, 0xf4acdf21, 0x8360b0d2,
+    0x69dab3e0, 0xce47c6c2, 0xe7601483, 0xfd29d453, 0x9cc2012c, 0x48c296be, 0x45a9e689, 0x0e94e806,
+    0x9db2325d, 0x07035474, 0x7ee5293c, 0x5c4c5c99, 0x0580c4ff, 0x015caf86, 0xcdaf26cc, 0x46d3c3ad,
+    0x43f3d113, 0x760cc1e5, 0xf8056468, 0x34d8ee4c, 0xa4c7726c, 0xed395f8f, 0xfb67b1da, 0xea8a44a3,
+    0x0221965d, 0x327b911b, 0x4b65b9fa, 0x8d8c905e, 0x4e0d0b8e, 0x1abaddd1, 0x89f9a99c, 0x34dd6934,
+    0x12df48c3, 0x66df4d83, 0x84cda5e0, 0x6e8cbc34, 0xeebd890a, 0x85cb67f6, 0xf2ee03bd, 0x73171ecb,
+    0x755cd612, 0x569fed7a, 0x4ba0441c, 0x2be55763, 0xc5f71ba6, 0x56e2858d, 0x985ea2b3, 0xcb2e5291,
+    0x800fbe17, 0x36903b17, 0x72fe34f0, 0x62721e3d, 0xa2f756d6, 0x7083c889, 0x36de01bb, 0x553d6bab,
+    0xe33f9e72, 0x74f4fbf4, 0x309cd277, 0x91460d38, 0x31947ef7, 0xc8f03891, 0x831dbd44, 0x1b12403c,
+    0x1a32c770, 0x63c08142, 0xe266198a, 0x33458708, 0xed13cc51, 0xad07a12e, 0x572b4c21, 0x6fbcd670,
+    0x1f49e7b2, 0x7e3cfaee, 0xb9669285, 0x31731de2, 0xbe827320, 0x4416d030, 0xc3004b7e, 0x7e91ebad,
+    0xc89601dd, 0xce4cefda, 0xd691989a, 0x95249da0, 0x24846ecf, 0x2277dd23, 0x86c84ca9, 0xe4f1a931,
+    0x61a085bb, 0x60f97d56, 0x42480ec8, 0x73cc4ad9, 0xd92b7535, 0xda3ae0f6, 0x33217db4, 0x52c7a97e,
+    0xa708ef56, 0x6f98495a, 0x23a7ba12, 0xd56005d2, 0x1c6b5fe3, 0x012a8658, 0xd181df64, 0x5bc1ab4a,
+    0xd5c025f7, 0xcf6ae368, 0x8442410b, 0xc844ceaa, 0x4132a7e2, 0x6f071ff5, 0x8621067a, 0x47c691e6,
+    0x75fcf98b, 0xa1be7de8, 0xa1d51459, 0xc1399afd, 0x296221e6, 0xd5dc7994, 0x366c41ca, 0x0b738ea5,
+    0x0d3486b5, 0x272cd785, 0x4a920e02, 0xc06f5e73, 0x25f0dc79, 0x5383fd55, 0x7a35942d, 0x2b5fe3d2,
+    0xa705890b, 0x09133a6b, 0x5d4e96d8, 0xe861c042, 0x384f9503, 0x3af2a5bd, 0xe5d5b651, 0x17c317dc,
+    0x9109a56a, 0x3b7e5344, 0x0e2a8a1b, 0x8cc3b198, 0x2b9e2011, 0xde131000, 0x53c90bde, 0xa8750dd0,
+    0xf88cff67, 0x8616581a, 0x44daba90, 0x7cd29430, 0x8660e39d, 0x5bc9f618, 0x7f147140, 0x1290ee9f,
+    0x7f8b3223, 0x0fbb9ab8, 0x052bc460, 0x1b677487, 0x583fa834, 0x269ab5d5, 0xac7a02cd, 0x70e0314a,
+    0x72690651, 0xdae7798b, 0x4313672a, 0xa23fbe6a, 0xacc0575b, 0x3cba21ec, 0xafefbf5a, 0xd30b1c4a,
+    0xb02f6034, 0xb0229cb5, 0x64ee04ce, 0x38468ed2, 0x96ecc00b, 0x7834835d, 0xa1984d33, 0x6ea9c9f6,
+    0xc3d88770, 0xcf555b77, 0x70179432, 0x3daf05ed, 0x36df6a91, 0x8fcfa9ba, 0xd2af076a, 0xef6a00ab,
+    0x1e9a01f6, 0xa865d128, 0x3be70c1c, 0x5a28a110, 0x1a820569, 0x506d34fc, 0xa6d1ba85, 0xec122763,
+    0x93adb202, 0xd5012c70, 0x14009eda, 0xe6b52031, 0xc6c5be19, 0x7de9398a, 0xa71a1dcf, 0x537b7487,
+    0x36d9f106, 0x49552676, 0x6cdc0b9a, 0x823c1e44, 0x8d034e83, 0xf634accb, 0xa098c79e, 0x060227cb,
+    0x197d362a, 0x9cd7f191, 0x01a8ba05, 0x0a527086, 0x6405162b, 0xa52c5ff5, 0xf6d8e70f, 0x67a2d356,
+    0xf83932bd, 0xa619dfef, 0x16c06a0c, 0xf0d05fc1, 0x90804352, 0x44164ff9, 0x943ebbad, 0x07a12232,
+    0xce0d8cf1, 0x61657c75, 0xe80b48be, 0x074ffd16, 0x32587529, 0x4034a8e4, 0x056e19eb, 0x762b067a,
+    0xd7225a32, 0x09512970, 0x40c1a0dd, 0x186f8f88, 0x09ad9e79, 0x9220946d, 0x11763723, 0xc0f0976d,
+    0xe7b46f12, 0xc0980283, 0x374beaba, 0xae6b28e2, 0xdb0260c8, 0x6c027e5f, 0x02e1ede9, 0x7f19729d,
+    0x32acbc81, 0x13dfe9d9, 0x8a3bb3f3, 0x0f1d14c0, 0x5f9ddcf1, 0x11c32d7e, 0xdc5add80, 0xa31918d7,
+    0x8e60eee4, 0x9ad9187e, 0x06f467ed, 0x25c9bab4, 0x15931b73, 0xf2d0aeb8, 0xcc56f003, 0xeb30f5bc,
+    0xfdbcac34, 0x77a8b5ec, 0x804fae00, 0x221cd113, 0x7b4b6cab, 0xf7df0866, 0xb8439c6f, 0xa3cb1638,
+    0x882c01c5, 0x2452a98d, 0x8ddb4054, 0x1a5b4801, 0xb39caad7, 0x19c80a35, 0x5366aa74, 0x72f1f2b2,
+    0xb41b0a18, 0xc8206ebf, 0x531baff0, 0x30b60126, 0xbf455bfa, 0x3e421784, 0x95e20e23, 0x2f7a4f10,
+    0xccd71de4, 0xab65d710, 0xc72cdc6f, 0xbc2f794f, 0x35cb9811, 0xd722e5b4, 0xf3d9bea5, 0xcfbd10b3,
+    0xd61fe428, 0x14f8e34a, 0xb16ce33c, 0x48774e82, 0x2486f73c, 0x1dbe8d03, 0x1b3056f2, 0x8e78f5b0,
+    0x1f1b7fc3, 0x153e59bc, 0xf95eecc1, 0xf286c59c, 0xf4e78a60, 0x7b8037f2, 0xdf73de77, 0x64db33b7,
+    0xaeab2fb3, 0xc3773084, 0xc020a1fd, 0x29eee0b8, 0xe4207cb1, 0x0d24425a, 0xc825a96e, 0x91c2aa92,
+    0x969fa34a, 0xf024b945, 0xcc63011c, 0xddb3fac4, 0x18643fd7, 0x5ac6383f, 0xff716ec4, 0xc1ad8563,
+    0xea259850, 0x10054413, 0x38d269ea, 0x48acdf9a, 0x8b187a75, 0x07523776, 0xdf29a68a, 0x203be882,
+    0x79997f50, 0xd0ed4871, 0x52ff0297, 0x38b73afb, 0x418d8fa9, 0x9453bb87, 0x7d506514, 0x9c1f0d57,
+    0x71680ee3, 0x43690258, 0x8282f700, 0x3310d22d, 0x72c40d9b, 0x704dd8f8, 0x55d14bc4, 0x14d894fa,
+    0xe236472b, 0x331ce151, 0xa26b142f, 0x0590b3cf, 0x51370e65, 0xc97b65f8, 0x8d6e1738, 0xce35cdf9,
+    0xcb0198c9, 0x3c7ee088, 0xfe6ae630, 0xe0689c84, 0x50295eee, 0x0ee5aac1, 0x2ecca14a, 0x5a49678b,
+    0xfe778ddd, 0xff341d46, 0x71a1136a, 0xa44450f0, 0xcccf25b7, 0xb89f4389, 0xf6a15b02, 0x19d28748,
+    0x9c6887db, 0xa51fc5c9, 0xb696801a, 0xb5688782, 0x6a12b6d7, 0x96e51c96, 0xeac9661a, 0x95c4bedb,
+    0x2dc50d37, 0x3c74cc5f, 0xe287da42, 0x08e69b27, 0xd771d9e7, 0xd5c3e6c1, 0xd808eb38, 0x24394ad5,
+    0x246d98b5, 0x7c654259, 0xf728d93f, 0xe1784b8d, 0xb3deaf50, 0xfddbaf9a, 0x91948594, 0x07a16a0e,
+    0x8bd0268d, 0x28bc1817, 0xd9d942c2, 0x90a913b4, 0x6ae01b40, 0x04d370ca, 0x4ab17dbb, 0x1437c625,
+    0x701eb329, 0xcdc9f4fe, 0x95096221, 0x5f9e27c1, 0xd7e943fc, 0xe33fb9f8, 0xae61fb80, 0x33b6d5b1,
+    0x44660363, 0xdd6ddb93, 0xa6cd36ff, 0x8f59983f, 0x3cd15fd4, 0x8f935057, 0x21ea1960, 0x1cc90589,
+    0x2421c648, 0xac6cb10a, 0xa9fae947, 0xe814f330, 0x66098ec2, 0x5f2d2f0c, 0x7aa8379b, 0x75c02ef5,
+    0xe843de5e, 0x905bf814, 0x67c303e4, 0xcf33ec90, 0xbb77f064, 0xf444caab, 0x92187a08, 0x70edbf0b,
+    0x9d0297fb, 0x044ab9d8, 0x19ecdbff, 0xda42ebfc, 0x267ecc21, 0x5b83561e, 0xa90e86f8, 0xb9bef5a0,
+    0x91fe543f, 0xe63c4cf4, 0xaf4d8275, 0xd775a382, 0xdbbbec8b, 0xb86714e9, 0x900fc721, 0x0f6cee2c,
+    0xf0a5be9b, 0xc571618c, 0x12bfef0b, 0xb3632c79, 0x240949be, 0x39141a16, 0x2f47ebb7, 0x3ed15c31,
+    0xd3241d62, 0xc813047c, 0xfa55457b, 0x650d8ca2, 0xde4047f2, 0x6e793d43, 0xfe39697e, 0x5a7e9254,
+    0x1b027172, 0x6315bddd, 0xd9b596c4, 0x1ed148b3, 0x20cd04aa, 0x94d491d6, 0x7fdae308, 0xdae0fab9,
+    0x5bc1224d, 0x30a1623c, 0xa30ac8eb, 0x5c5f06d9, 0x70d43019, 0x8624163e, 0x310bd71a, 0x99965800,
+    0x3a266545, 0x9e33b621, 0x7e4c74ed, 0x83475a42, 0x2c55ee7e, 0x356deef9, 0xc57c55f4, 0x0b884a57,
+    0x96c9529d, 0x8fffe9ab, 0xdb07d66b, 0xfae0fefe, 0x4a20a575, 0x5214d2b0, 0x1b6e64b6, 0x81615275,
+    0xfdb3c2f3, 0x63412808, 0xc93b073c, 0xd34745c9, 0x9af90566, 0x9f759a12, 0x0392917a, 0x64d4feb2,
+    0x14bf4ac3, 0x26268380, 0x6e870037, 0x666d65f2, 0x1ff5c7bd, 0x3854fe3f, 0x991d9612, 0x4769440e,
+    0x9d60384a, 0x3100c006, 0x15598ad7, 0x0b10dc1d, 0x9089a38f, 0x1e040187, 0xa8c9a252, 0x470bd728,
+    0x9319dc76, 0x6b2e91f7, 0x5b2d6f36, 0x320aeea0, 0x02df8ea5, 0x021224c5, 0x7e6c3d5b, 0xbd8f4e86,
+    0xe64412e9, 0xd675bdcc, 0x7eb9dee7, 0x20603ea1, 0x6d930a0a, 0xa707df03, 0x103c2461, 0xd7b209c8,
+    0xa5d0c110, 0xc448e525, 0x5eecee67, 0xe73e03e1, 0xdb05aed2, 0xb8e0a222, 0x4e9f8eff, 0x6dc24648,
+    0x648a2213, 0x2b93a927, 0xdb90e7a7, 0x1fd1bd76, 0x53d05c65, 0x22c29068, 0x404b044e, 0xab66c2d3,
+    0xb5dd727b, 0x45872e3f, 0x1a35db8a, 0xca7bc48b, 0x62dbc190, 0x5dc6cce9, 0x23c0f55a, 0x6a727791,
+    0xa884703c, 0x25e8bd75, 0x3550c059, 0xd88a188d, 0x6b037b4c, 0x2e4cd292, 0x1b6013e2, 0xeff60617,
+    0x64ae37ec, 0x3bf6ee3e, 0xf0be3077, 0x831455df, 0xa6150fd0, 0x43004e2d, 0x630d3a7f, 0xf31d3249,
+    0x6ccd329e, 0xf6837fd4, 0x28e6fb31, 0xaddeaac9, 0xc4fad7bf, 0x6cbd7ae1, 0xfa793791, 0x2b3d067b,
+    0x83dd1ec3, 0x54d185f6, 0xa76378eb, 0xcf880a12, 0xa934099f, 0xfd13331b, 0xbf2d18a0, 0xa5f9bbdb,
+    0x0565183c, 0xa13dc938, 0x966eac20, 0x520bdfeb, 0x88c86389, 0x6746df0e, 0x307a3514, 0x5b9be4dc,
+    0xb396fe26, 0x1bf350c8, 0x6647af2d, 0xca453583, 0x58eb76c5, 0x94676013, 0x529be5a4, 0xb3eeae04,
+    0xd12bc02b, 0x393d60ab, 0x88309fe5, 0xcbcc748d, 0x7998f0c6, 0x699410ff, 0xd1c98eae, 0xb3a5e848,
+    0xc0687193, 0x277a39aa, 0x5ec059f4, 0xd86ebde8, 0x49c31fde, 0xd77cc445, 0xaa3526fc, 0x4b855888,
+    0x8717cf36, 0x59cd3f66, 0xa06c4075, 0x4cb444ba, 0x1c3d7523, 0x01052c7c, 0xad80a960, 0x04878ecc,
+    0x8fe21ef9, 0xd39996c6, 0x2f14af92, 0xf2e509f7, 0x26fbd7ec, 0xac8ef213, 0xeb2f53bf, 0x041408e1,
+    0xb9a86f47, 0x9f59119f, 0x0f1e4146, 0x3e39167a, 0x55ad1806, 0xb5cc390d, 0xc205cc5d, 0x38b5f76b,
+    0x4405ed02, 0x81dcbb2c, 0xfe10edad, 0x84a085c3, 0x87a2e5fa, 0x3feaafff, 0xb603d706, 0xd2529f92,
+    0xe7537503, 0x4f67ac77, 0xd1a2f913, 0x67c00031, 0x272d591a, 0x343a0701, 0xb5bfc61a, 0xf4bcc0b6,
+    0x52f08fee, 0x0dbae3bb, 0x9ff9b040, 0x12c56c23, 0x850735ac, 0xa76aed0e, 0x94d3b957, 0x23b67576,
+    0x554dcb39, 0x3fbdbd17, 0x27015736, 0xef6075b8, 0x91faf8e0, 0xe9b23fe5, 0x9156f304, 0x500df833,
+    0x251da2fe, 0xb1438404, 0xbcad61df, 0x869a8fea, 0x8d48da92, 0x3d3783a9, 0x7a830093, 0x6348bb8b,
+    0x7c189396, 0x4fd370a7, 0xd65f0057, 0x91b8c378, 0x7fffbee8, 0x9c61df0c, 0x28fd497e, 0x1ff3ff13,
+    0x24f73496, 0x4019f2e2, 0x05dadc57, 0xc1870a9c, 0x299fc0d3, 0xf6872934, 0x3d003aeb, 0xea8e712f,
+    0x07ef3c96, 0x3a7e5577, 0x5b4874e9, 0x880ac1ba, 0x8f7e5a84, 0x4b0e8ca2, 0x1ba5282c, 0x15aa71a2,
+    0x5c339327, 0xafffb5ab, 0x71c7bfae, 0xc08d986e, 0x79ff62f3, 0x79b306ea, 0xe7f666c8, 0x4e016176,
+    0x89558508, 0xa9ab4ddd, 0x5951c7f6, 0x370b640e, 0x444aaa29, 0xabdc80ce, 0x8920a96f, 0x6353f138,
+    0xa7b0a2f9, 0x84389d55, 0x281f924c, 0x7d99d4d8, 0x06646752, 0xc23975be, 0xae040fd6, 0xbe8d0157,
+    0x8558e207, 0xb3c7bd4e, 0x31c53dc5, 0xcce7ba96, 0x6bdb6001, 0xc78508ad, 0x1029197a, 0xa30e03e3,
+    0xd5c8bb51, 0x70d66149, 0x95cd4947, 0x33b4f623, 0x5049b20c, 0x3dcc1ec9, 0x54b76f25, 0xe88c33cc,
+    0x252cef69, 0xf2766044, 0x5de69560, 0x696c89f0, 0x69c2b277, 0x06218508, 0x1167828c, 0xe30d8811,
+    0x48037130, 0xe4fc9bf8, 0x8758824e, 0x271502a5, 0x738e3c70, 0x99dd427f, 0x0f10c019, 0xf3256f60,
+    0x724e8ecb, 0x19aa3b1e, 0x82a16d5b, 0x597005da, 0x015e8fe6, 0x9b0bcb4a, 0x9dc5a26a, 0x2f5fefec,
+    0xbe83c145, 0xaad16f88, 0x7bd3c56b, 0x1b9427d2, 0x707884e1, 0x07a33283, 0x465474b2, 0x85c0a18c,
+    0x060edd8a, 0x1258b3e5, 0x91bc95e2, 0x73c1712c, 0x645fc8b8, 0xf7b907e5, 0xacc8146d, 0x71e344fc,
+    0xb518cb65, 0xa30a36c7, 0x7503b8b7, 0x2069cd1e, 0xaa1f7cd8, 0x99130dd0, 0x70f71188, 0x62c20df4,
+    0x5ee5c980, 0xae5a6e54, 0xd45429a6, 0xd4984b1d, 0x79d7e88e, 0x2a8bd62c, 0xf9b40ab4, 0x273fa1b7,
+    0x6e2f84bb, 0x26048a31, 0xbf89cabc, 0xf6a09bd2, 0x21e55c4b, 0x3251560e, 0x7fba0fc6, 0xcbeef46f,
+    0x135e59f0, 0xa47906af, 0x6f958f61, 0x353a6577, 0x98d7cbac, 0x0b22a5d4, 0x0810a268, 0x28ee2ba1,
+    0x894ee2c1, 0xe426f8b3, 0xd8bca90d, 0x04e7616c, 0xd08b6f03, 0x38e5ac46, 0x20a23526, 0xe51f4f86,
+    0x2febe3dd, 0x2d1754e0, 0x20bbcae2, 0xd60130a5, 0x4fb62feb, 0xfe8d4224, 0x7600396d, 0xbaafcb5b,
+    0xe33c8770, 0x78aa8a2a, 0x3e6fe2d9, 0x25e4538a, 0xf2a219c0, 0x6424f75f, 0x03e742bc, 0x9c0537c2,
+    0x8c596f32, 0x3cd496a5, 0x5fc0d1d4, 0x250d013b, 0x5ebc7051, 0xf1c75c73, 0x6bf2924a, 0x7423bd8d,
+    0x59016411, 0x127123d2, 0x8afce949, 0xf8ca39f3, 0x84e33c93, 0xb306fa3d, 0xb6bd9f8f, 0xac90c071,
+    0xeb40c3dd, 0xddbcb3de, 0x6ac6540c, 0x9eb47665, 0x5cdf9207, 0x13424a2d, 0x1603a234, 0x697027c1,
+    0x85aff648, 0xc11f0da0, 0x6f555a0e, 0x66090df3, 0xa354a13e, 0x632d52a3, 0x617dd932, 0x7cd68191,
+    0x56d3c989, 0xc1610684, 0x383cf221, 0xc9ab9de0, 0x67cd7ec9, 0x137be0a1, 0xb89c75b4, 0x1ece6140,
+    0x0c4fad6c, 0x4b2a4797, 0x70c34dcf, 0xd90b2474, 0x69305ee7, 0x386fd7b3, 0x0f910bfb, 0x95f36227,
+    0x00000000,
+    0x68d6acbf, 0x2846dfea, 0x4bd0a7af, 0x6d055271, 0xab831707, 0x6bc08588, 0x61e98be6, 0x254dfdf4,
+    0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000001860707134196753639806268948193291607945321883359534234320614\
+                          90990243657757029868371504908982723472783555205531204141550984858016925351936 */
+  { 0x00000000,
+    0x63b9f78f, 0x979e87b6, 0xe5dae405, 0x2e35de9a, 0x01f8a46d, 0x83e20d04, 0xa9c55dde, 0x5afde839,
+    0xc769fc30, 0x7b5c5d0c, 0x1ad92abe, 0x18132080, 0x05eb5882, 0x339c77e4, 0x21ba7d11, 0x69f3393b,
+    0x82532370, 0x6f615477, 0x75dd3159, 0xcb4fe50e, 0x7cc859bf, 0x850bafb9, 0x2a6a05b0, 0x6448e6ab,
+    0x8391e37c, 0x86adca73, 0xed3d74e2, 0xe650c729, 0xe9fd21b6, 0xdd03f616, 0xf9917a49, 0x3bd15bad,
+    0xd4486519, 0x28ba472a, 0x2f2ac2f6, 0x54b55619, 0xfb425eb3, 0x0c4b9617, 0x8176df75, 0x14a2920c,
+    0xf9659cbf, 0xe7362843, 0x691a4a8a, 0xd837f70e, 0xc287e63d, 0xb349d1c0, 0xfb3681f5, 0xe63bdfda,
+    0xd4e4e527, 0xc6c66de3, 0xccdb5c46, 0xa249864e, 0x70ef616c, 0x43e4ecf9, 0xcbd30755, 0x7fd0097b,
+    0x28940e10, 0x3e2e2a69, 0x09d442ee, 0xf88e8757, 0x4836d719, 0xb9991313, 0x13664d5e, 0xe4ef6e58,
+    0xba40705b, 0x6913c023, 0x98feceae, 0x36191a21, 0xfc0b2d03, 0x4906a6bd, 0xccd6a540, 0x180fd06e,
+    0xd3c73664, 0x81c278c7, 0xcbe5e4c6, 0xa34947b8, 0xf3378d43, 0x4621d72b, 0xf94ac04d, 0x586e8d03,
+    0x4f102ee9, 0x1be9089c, 0xa52d842e, 0x2636a1da, 0xbbaf6c28, 0x6546d6a7, 0xb106e5ec, 0x6bd62c11,
+    0xb590b3f2, 0xdc94e9f0, 0x2e6ffb9a, 0xc9894a00, 0xf802a204, 0x4b4fa768, 0x5f48caf3, 0xc4a318b2,
+    0x2816de88, 0x0d422a8b, 0x076d7dd9, 0xb5e18538, 0x7140a9b8, 0x7f7b1ff0, 0xdad58ad5, 0x4a9dcaed,
+    0xee1126d6, 0x13a6c9e5, 0x1bf85afc, 0x79025dc5, 0x1273beb5, 0x091c3977, 0xe61c98be, 0xdfc57d96,
+    0x2b7104ee, 0xdad7b7f8, 0x58845bb6, 0xf4d35d8c, 0xc36aa281, 0xfca39eae, 0xfbaab411, 0xf86a2fc5,
+    0x0541f086, 0x71a5d32e, 0x68770303, 0x4de67ffe, 0x045aa828, 0xa26fe8bb, 0x6f4d56d4, 0x2c4047ff,
+    0xb0b01115, 0x5c5cb504, 0x77f7274e, 0xcd3a25f1, 0xdb1f379c, 0x289913ce, 0x893aac64, 0x299fb458,
+    0xe5700b4d, 0xfe24a15f, 0x1fc038a8, 0x8e5a4150, 0x626a2bd0, 0x37be6f58, 0x4f61182d, 0x194ec244,
+    0xa4ab2120, 0x61997b81, 0x8c137641, 0x095ea04d, 0xf2d65265, 0x506290b1, 0x5d718586, 0xdf9fc9c8,
+    0xa10de622, 0x8c82dcd7, 0x5ca17818, 0x9b0b3a0f, 0x801f9732, 0x3d127b64, 0x11673cde, 0x3a7877c1,
+    0x10c1ff83, 0xfd81093c, 0xcf2ff525, 0xad5d7e43, 0x68bb07f8, 0xa610a2b5, 0x13484658, 0xff99747b,
+    0x7e9830e6, 0x3cddd4f2, 0x277df3b0, 0x2de15f29, 0x42671950, 0x310d1d18, 0x9c62748f, 0x89f40eae,
+    0x5a2e7386, 0x1bc8e6fe, 0x150e652e, 0x1f0cb2f3, 0xfee1b298, 0x05c4a0da, 0xdcb57522, 0x7a6df4cc,
+    0x4d848b77, 0xa6b989cb, 0x37ef8557, 0xeb5236d3, 0x6793bb69, 0xf7561a17, 0x542c14d0, 0xdfff05da,
+    0x107883d4, 0x72730f23, 0xa40463e8, 0x0abe8f3d, 0x27c79ff7, 0x6db4c5b8, 0x66473f1e, 0x58b3c30a,
+    0x52251d84, 0x1acff6e8, 0x65214c8b, 0xde038ec3, 0x60d0d271, 0xcd941349, 0xc5013217, 0x394baeb2,
+    0x6e3b8295, 0xb6048c72, 0x37851a87, 0x11f30d83, 0xad865632, 0x125b9d0f, 0x2076dd79, 0xfe31eecc,
+    0x62058f6f, 0x1c724741, 0xd96cd4b8, 0xf43b24b3, 0x52dfb467, 0x31fd6c2e, 0xa17ffab1, 0x31068399,
+    0x4ac2dee5, 0x93625374, 0x99e115b3, 0xbb7b68ba, 0x18e117e2, 0x83647954, 0xc2cc185b, 0xb06370ba,
+    0x3cf72d63, 0x0a9c9bd5, 0x2eda12f8, 0xfbfb7354, 0x305a1805, 0x9307aa3a, 0x0031fa8d, 0xe422d919,
+    0xa6c041c3, 0xb1dea4a4, 0x720e435e, 0xf6040d20, 0x67e7c394, 0x71525894, 0x2f4d3990, 0x9f126484,
+    0x44d3e13c, 0x556d906b, 0x728126ea, 0x5835fcb2, 0xcc80d189, 0x6217c07c, 0x7764f59f, 0x6f5a5a6e,
+    0xf279bfee, 0x9feebeb4, 0xf7f7ec7a, 0xf11916d4, 0xea41ddac, 0xbc755216, 0x6a005015, 0xa9a21512,
+    0xe3fef1d8, 0x866e7aef, 0xd15fa942, 0x48f5a0de, 0x050fef8e, 0x7c16ed1e, 0x786f0fd1, 0xcd97ea6b,
+    0x8378e2e0, 0xcd43f24f, 0xc41ac2ac, 0xdc1db2e4, 0xc1be17fb, 0x338dccc4, 0xd7568df2, 0xb4a2e63e,
+    0x6fdde344, 0xa9c1578a, 0x1d76e36c, 0xba7acd32, 0x2e3335e5, 0x537cc2c3, 0xb65a0d88, 0x3c29f797,
+    0x4bc261ba, 0xd2b9bfa0, 0xc218e5f7, 0x0183c11b, 0xbd5e2418, 0x3bc51aca, 0x3dedf4f6, 0x6878dd89,
+    0x113dcc3e, 0x62d4de28, 0x66ef013b, 0xf3640e98, 0xb160d92a, 0x0bfe8531, 0x3f2fb9b8, 0xb348a99c,
+    0x86eeaf39, 0x6c74caa0, 0xae4ea44a, 0x1ad41e21, 0x80d13a58, 0x484550be, 0xf3571a88, 0x4d19c4e7,
+    0x7b8e2546, 0x6b8b5ce8, 0xb52904c2, 0x868e0828, 0x588c4318, 0xa6601d34, 0x919e450b, 0x6e0fb161,
+    0xe2b7c5c9, 0x08837066, 0x02e85785, 0xa1678b06, 0xbd117b01, 0xe73971c2, 0x188cd1b8, 0x9c7d8b4a,
+    0xa5842c14, 0x7f8364cc, 0xd45d30a4, 0x3de1e27c, 0x926edde5, 0xdcedcf19, 0xbc16b9d5, 0x17f2a8b2,
+    0x225dc3b7, 0x7bcd5de0, 0x1ab47944, 0xf7385f62, 0x15648500, 0x36f9f4e0, 0x04e9ff27, 0x3a7acc93,
+    0xff27b1b8, 0x1de9e42e, 0xad8d8a34, 0x026983a1, 0x6e2bafb8, 0x60752df2, 0x41540b55, 0x4bcbd4c1,
+    0x0e099230, 0x978df374, 0x51800493, 0x05b4bfd8, 0x42da4e8c, 0x52d168e7, 0x42221ad7, 0xba7bc0e0,
+    0x9b7c1e57, 0xce2dc51e, 0x928f028a, 0x1ee29555, 0xfd10dec4, 0xbec45123, 0x48dc5048, 0x1bdfe525,
+    0x8e600263, 0xe461645f, 0x20b3f580, 0x62d3d052, 0x085213a9, 0x7d0bead9, 0xd20fccb5, 0xca66b13a,
+    0x01c148eb, 0x5c6f3ad4, 0x3e66b73b, 0xa725d7d5, 0xcb423908, 0xb3aa30f7, 0x6795327a, 0x15d02dc0,
+    0x87a4ebc6, 0x36af458d, 0xa687500e, 0xa5ba3340, 0x7f02c067, 0x4fa15e06, 0xde22fb3d, 0x6561ed0f,
+    0x12c6a071, 0xf5259949, 0xfa8461ba, 0x103b16a7, 0xdf28fce6, 0x851d1b75, 0x15d2b39d, 0x33623c28,
+    0x8cf2d48c, 0x302df0b6, 0xeb95f81c, 0x61292f1a, 0x186a4b0c, 0xf44a70b1, 0xba51ceb1, 0x230e6c45,
+    0x787d70e0, 0x9c6c36ac, 0x57963a50, 0x86cb6aca, 0xa113a0b7, 0x935bd58a, 0xa617340c, 0x5590b8bf,
+    0x82cffe98, 0x42d4842a, 0x09d87ed6, 0xf9408bbe, 0x56128b7a, 0xae2bfb28, 0xa0011cc3, 0xb6face9b,
+    0x5dc2002e, 0x81e95b7a, 0x0285f39c, 0x002df5fc, 0x8d1a0a67, 0xc224dd3e, 0x42522020, 0x5a63c5c9,
+    0x948c3217, 0x3afd089c, 0xee27b993, 0x6b7e395f, 0x726954e2, 0xad47a1a1, 0x9ce6b533, 0x0b44cbff,
+    0x6a9e992f, 0x597219ed, 0x668349f7, 0xe503b068, 0x4cee2c96, 0x0d9bebce, 0x7f636431, 0x917cf5dd,
+    0x3ca53fa9, 0x0162618e, 0x68290e91, 0x701a1dac, 0xa0b56875, 0xf9bc0876, 0x2d09bb42, 0xc7bf85a0,
+    0xd00ee850, 0x3687eb54, 0xf547e324, 0x5ec33946, 0x196c686b, 0xff9ec66a, 0x858dace1, 0xe500275f,
+    0x8796ece1, 0xeb1ddd30, 0x3491dfe9, 0x725eeefb, 0xd5f8c7fb, 0x7127289e, 0x351d1324, 0xa766b5b3,
+    0xd2bf1b5b, 0x44175923, 0x82000135, 0x29f75e18, 0xb6c197e1, 0x29f6a62c, 0xf8680c91, 0x06305568,
+    0x7e662a77, 0x34e31bc9, 0x2a86fc06, 0x131ba3eb, 0xa3cc4588, 0xe8628b88, 0x59eaecc9, 0x7e36f42e,
+    0xddeecd3f, 0x65631720, 0x2df04d15, 0x5c8f798b, 0x60ed197e, 0x7815d7ee, 0xeaa14d6a, 0xdfe894f9,
+    0x0e6f2bc9, 0x998a8398, 0xb56d2bd9, 0x70b89bd7, 0xc5c7b1dc, 0x66912381, 0x32873947, 0x793cb3c8,
+    0x2c1e3c8b, 0x71bf6a19, 0x46bd5fca, 0xad9e8976, 0xeb8a9304, 0x7904b205, 0x6b373ac3, 0x826b335b,
+    0x0e7cd566, 0xfdeaac0d, 0x3b53203b, 0xcd2ecb90, 0x17093668, 0x9ec89dd1, 0x6c4ad01c, 0xca83d1fa,
+    0x45f75128, 0x17d08453, 0x1040a781, 0x0dda5cf0, 0x5a001f1f, 0x836388be, 0x8c29f50a, 0x1aa11ead,
+    0x7ce94337, 0x1cb7d7dd, 0x11441366, 0xd39fa524, 0x9bf79a10, 0xc5463e5b, 0x5df514b5, 0xd0d4984b,
+    0xeef65fec, 0x37d96357, 0xef7852c5, 0x64d483b0, 0x6ab05ca7, 0x1976463d, 0xab129eb2, 0x1c1776bc,
+    0x54a23089, 0xaef9317c, 0x63b86ba6, 0x0cf031fe, 0x14338b25, 0xc7021f6d, 0xf5d72a0c, 0x5647b0d0,
+    0xa444e375, 0x97fa52f3, 0xcc606b04, 0xe9086546, 0xa868caec, 0x5e34ae06, 0x0a78d113, 0x5bd89a98,
+    0x69ecfbcb, 0xa9d0b48f, 0xe8c7dbc7, 0xffccef7b, 0x5133b342, 0xdb58cbb7, 0x759c55b9, 0x8e6b526e,
+    0x1af9a441, 0x57bdceee, 0x80b3fcfc, 0x3b46f3a9, 0x36c465a0, 0xda14fcfe, 0x56989515, 0xe0afbc4c,
+    0xe64166dc, 0x5ef8781b, 0xcb5b475b, 0x8b8923de, 0xdf1088e0, 0xc4f097b0, 0xdd26b16f, 0xad15d0b2,
+    0x94649c1d, 0xef0f1d0f, 0x46717510, 0x77472ebe, 0x53a06d7b, 0x3bb13487, 0xdbbc99b0, 0x82b462cb,
+    0x8ae400bd, 0x51aebdcf, 0xf5462f15, 0xe42f1a81, 0x84db3648, 0xae332835, 0x9c47b624, 0x348fe284,
+    0x98fabd8c, 0xe491b234, 0x04392128, 0x85e9bce0, 0x8062c7d0, 0x43474b27, 0xa8f9f28e, 0xfbce9efd,
+    0x2ea47978, 0x34fc77b7, 0x648e19eb, 0xaa3ee717, 0xe99b5e86, 0x389f5933, 0x70921509, 0xad6fa18f,
+    0x9bdb531c, 0x8768c06e, 0x9255f2ba, 0x356f7583, 0xd7aea9e7, 0x40e7eb40, 0x2e2faafb, 0xab16fbe2,
+    0x063f1d56, 0xe94fad57, 0x8171bfd1, 0x0d4aa0e3, 0x1fcac730, 0xd1cf9c8e, 0xf0eeb932, 0xfc747871,
+    0x4e58416a, 0x9be5ecbe, 0x003fac40, 0x60aa6fd4, 0xebf79d44, 0x242fb40e, 0x27a01b79, 0x60f241a6,
+    0x4f6583dd, 0x018e1fb4, 0xf51695f4, 0x34b8d3f2, 0xfdc27409, 0xcb6a7852, 0x3cc706a9, 0x67a1654f,
+    0xc3ac609b, 0x172065e2, 0x6490eebc, 0x9807503a, 0x7c5ebba5, 0xf4aac56d, 0x398d90cc, 0xbcd007e9,
+    0x69b52c71, 0xbfb0e8fa, 0x91f50a7e, 0x05b3b8bf, 0xb8d0e68a, 0x6a211158, 0x0cc90aa7, 0x88dd3113,
+    0x999dae01, 0x8e276292, 0x65021253, 0x98d50e14, 0x4594a288, 0x2e83b770, 0xe5ebec41, 0x8779b660,
+    0xa7cb6791, 0x3dcdd853, 0xffcfe6ba, 0x6f728c78, 0xbae74bae, 0xafb68c35, 0xaa83c863, 0xbd983b8c,
+    0xcfb41ec0, 0xb6c47c30, 0xe44897f2, 0xa5ef979f, 0x93c6ce10, 0xcd463fed, 0xafd29187, 0x43a38838,
+    0x1d2ac3a1, 0x9ecce52f, 0x589d59b8, 0x257922c1, 0x7e6893b6, 0x68be9ea7, 0xb07d9edf, 0xb822b98b,
+    0xf3c51fb1, 0x2245d5d9, 0x83d06953, 0xee6bedf7, 0x8906394c, 0x60abf89b, 0x092cb01f, 0x2f352f33,
+    0xdf3b7d93, 0xf36cc8fb, 0x32c960e5, 0x91336119, 0x40b4e81b, 0x8ec65198, 0xa4149c6d, 0x5cae4955,
+    0x4f92c3c7, 0x70ef9172, 0x403cdd2e, 0x317eb14d, 0x73988331, 0x7f9da96e, 0x940dcf0a, 0xa867ac2f,
+    0xd6873542, 0x9035d788, 0x7525e28a, 0x9d0cfe0e, 0x4b641919, 0x733a5d8b, 0x4fd91f5c, 0x83278438,
+    0xf1932c94, 0x646568a3, 0x7c446365, 0x81feb45f, 0xa6213142, 0x9f6bbbc2, 0x3b82d39d, 0xf3780a36,
+    0x77eb710b, 0xfa4c45a4, 0x39852fc0, 0x440022b1, 0x1c50501f, 0x11cbc10a, 0xcd5a0e62, 0xabdc2384,
+    0xda56cb60, 0x66a6e6b2, 0x717b6ba9, 0x21cc911f, 0x61854c30, 0x47622f57, 0x90fa4b0b, 0xdf790d76,
+    0x68fbd2ca, 0x8811d0e4, 0x63bfde59, 0x2b4d9c81, 0x984cfd21, 0x64822418, 0xa816fc12, 0xf56f2974,
+    0x53364e48, 0x5e9c6964, 0x33261b2e, 0x5abd8c0f, 0xd697bb88, 0xf2c1cc00, 0x8e469d92, 0x76510176,
+    0x242c2cdd, 0xf5761ac2, 0x2c4b091f, 0xbeaf06be, 0x457be193, 0x22b1d52d, 0x2437963f, 0xf21c6991,
+    0x69949110, 0xde6dc5be, 0x654197d8, 0xbe5cc005, 0x9d6b71b4, 0xe44efad4, 0x114a5041, 0xaba4cb81,
+    0x8d7f6f95, 0xf5b9f459, 0x0f40a9c9, 0x3c1535fb, 0x0d6e3649, 0x964edd1c, 0xb2f18888, 0xc0cee787,
+    0x8a1a9bd2, 0x5a1a2d54, 0xf68dbd20, 0x403f89d2, 0x6d1b35c3, 0xc03c0a47, 0x3ce84327, 0x9c352b5a,
+    0xddfe5e2e, 0xf6083251, 0x518d33a5, 0x49a7692b, 0xd82b7293, 0x338c359b, 0x0412396b, 0xfeb32c55,
+    0x86cd890a, 0x110de042, 0x074e61bd, 0xb53a21bd, 0x42acdecf, 0xf5a5a4bb, 0xbf9dce58, 0x9bc4825a,
+    0xe2823b08, 0x4f5a65d1, 0x08357f36, 0xdce7be11, 0x3363f528, 0xfc4fc17f, 0xf6825eb9, 0xcbcca083,
+    0x5546a17e, 0x51c49455, 0x7d134013, 0x0f7126f2, 0x1d653afa, 0x93e7bbee, 0xe3024e0f, 0x245232e5,
+    0xd811443d, 0x2c36d713, 0x381397b8, 0x712b6dd1, 0xb1a233b7, 0x26461ddf, 0x85ed64ba, 0x234e8d9d,
+    0x0035f3f7, 0xcb335e22, 0x218ff506, 0xc0826c12, 0x3c0e1d8d, 0x709f86ec, 0x6d2f2b3a, 0x0e704c52,
+    0x00775ebc, 0xf6463c9c, 0x20dfcb35, 0x4f2ea21a, 0x08cbff83, 0x0fd3dc22, 0x346b90ca, 0x5a0cd6f9,
+    0xd5c43f76, 0x028bf0ba, 0xbffda95d, 0x4d6c295a, 0xa26fa9d7, 0x7d7d30f0, 0xd3937925, 0xf5d33b55,
+    0x61bc9c7f, 0x959921a0, 0x5cf2567b, 0x2d2b4f20, 0xfbd3a82d, 0x8e4b2548, 0x70a73537, 0x5bae6a87,
+    0xd8060952, 0xb8353d35, 0x9838c6fd, 0x28ec8538, 0x2b539bf2, 0xd5319b60, 0xfd38b0da, 0x12c49609,
+    0xcbef41c8, 0x1cf9a459, 0x13f1d827, 0xf9a39a42, 0x7d53621a, 0xf7cbcbb5, 0x65138ac4, 0xeddd9693,
+    0x1a6fe22e, 0x04849554, 0x4b6183e6, 0x69230a49, 0xcec9badb, 0x584aff72, 0x025dfd4c, 0xbcf51b24,
+    0x603e5204, 0xc496412a, 0x0a9f38b8, 0xdd84f1ea, 0xa6c297b3, 0x01c4ee35, 0xb194a808, 0x49aa6f96,
+    0x94a0ff66, 0x88f67af2, 0x4fbb2dca, 0x444dc52f, 0x7d02c934, 0xacaa2e3c, 0xfa7755df, 0x30c0cdc1,
+    0x64cf12a6, 0xf99d7151, 0xdf155975, 0x23566568, 0x1399cca6, 0xaa7e76ea, 0x05f74226, 0x570b1c22,
+    0x91d2262b, 0x1829c7a8, 0xd6add2ba, 0x76565549, 0x508d8b78, 0x53f105cb, 0x1e1113dc, 0x24d8d202,
+    0xf8ba9bb6, 0x80e6fc79, 0xe82147ff, 0xffcc6cfc, 0xd08cdb84, 0x5c84f7c5, 0xd3e67378, 0x03aa05e9,
+    0x94a42559, 0xeaeb58e8, 0xcc6e2b8e, 0xb07b9292, 0xbe1bbb3c, 0x19dacb1d, 0xf17101cf, 0x6fcf1708,
+    0x44d18b5c, 0xe3e9e374, 0xf4d473a2, 0xba7a8641, 0xabd589b1, 0xfd706e8b, 0x2d296785, 0x11d01603,
+    0x640224a0, 0x8e59375c, 0x88b517fb, 0x6d2396e5, 0x0ecebd7c, 0x4590fae2, 0x703999f7, 0x9e19e6f3,
+    0x539bab66, 0xd8cd1207, 0xd95f83b3, 0xa5ddeabb, 0xa909d6a7, 0x4d591e75, 0xab5663b5, 0x7e34549a,
+    0xf266d45a, 0xfc7378ba, 0x4dd4336c, 0xb03261ad, 0x53bc31fc, 0x6ecfb699, 0x75b8c8ad, 0x624be82b,
+    0x4d81a005, 0xc8aa728d, 0xd3903531, 0xa792ae4d, 0xa56c2293, 0xb4341958, 0xad70df7d, 0x4fa89a75,
+    0x9c8e3a2c, 0x63fb350b, 0x16833e92, 0xede0ea75, 0xb726c960, 0xf420d574, 0x63c539b2, 0x1666e84d,
+    0xce6845b5, 0xbfd35354, 0x12be4729, 0xf790cb82, 0xffb253bf, 0x5ac27224, 0xc7c0effb, 0xc8dee607,
+    0xf73c507b, 0x8effe10e, 0x0349c1ea, 0x2ccbf551, 0xa1516422, 0xb9b50827, 0xe1189a81, 0x8a8a929c,
+    0x00000000,
+    0x346b565f, 0x94236ff5, 0xa5e853d7, 0xb682a938, 0x55c18b83, 0x35e042c4, 0x30f4c5f3, 0x92a6fefa,
+    0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000930353567098376819903134474096645803972660941679767117160307\
+                          45495121828878514934185752454491361736391777602765602070775492429008462675968 */
+  { 0x00000000,
+    0xc8b0c454, 0xd386930d, 0x965f2750, 0x1ac2a81d, 0x68a37d24, 0xdc549ce5, 0x5b87f43c, 0xf2200347,
+    0xc43418f5, 0x054a417a, 0x56a4ced5, 0x71143b60, 0x2ea01460, 0xfb05baa6, 0x9fac494c, 0xdca9c3db,
+    0x2084ad04, 0xdfa9dcb0, 0x6b99e1c2, 0xd3790866, 0xb98a5146, 0x63169d69, 0xf7f35a69, 0x532fbccb,
+    0x58315101, 0xc7119175, 0xf87a2f57, 0x8ab4e722, 0xc2d9f938, 0x0d1d0ed3, 0x0fb25392, 0xf3951cbd,
+    0xef155f0f, 0xbc1ca337, 0xa9960d75, 0x746b2448, 0x44ca6e53, 0x8f64f51c, 0x82d20635, 0x5f123185,
+    0x7ffaa252, 0x2efdded2, 0x7b2cbae7, 0x8a03d85d, 0x4ba182c2, 0xe8752a97, 0x92d505fa, 0x09d7dbe3,
+    0x3848f075, 0xad405a0c, 0xa0298687, 0xd63610f7, 0x8060c161, 0xc0d86e02, 0xda5d35d0, 0x06dcc7be,
+    0xde37df6d, 0x05beab1d, 0x6fddffd3, 0xc2324148, 0x16aa3281, 0x23ebed6e, 0x219e7823, 0xaed10cc6,
+    0xd3714afb, 0x205beb45, 0xbdfad483, 0xfc9a26ac, 0x396fc66d, 0xb0151376, 0x57ba6157, 0xeb738a42,
+    0x876b2c1a, 0x029f2293, 0xffdec31b, 0xedc5146c, 0xa68ce98b, 0x41f95520, 0x7a67a5c2, 0x30b022e5,
+    0x1cd264ab, 0x333c9d8b, 0x969f29f0, 0x1eca501d, 0x3e5304fa, 0xafdd62e1, 0x11cebf2d, 0xee901b24,
+    0x419f2da0, 0x8ce1d77c, 0x114b1dfc, 0xddb0da17, 0x07215ba7, 0x967dd08a, 0x1aec5ecf, 0x59cc5998,
+    0xbf5872c5, 0xf119e4e0, 0x6fbbe792, 0x824e99e8, 0xeb361c2d, 0x74493a18, 0x011796d7, 0xba353023,
+    0xf4755c72, 0x9e237a42, 0x01d4e107, 0x315e2c6d, 0x7d3f63f3, 0xb6e8efac, 0x6dba8ce5, 0xc92a1100,
+    0xcf29022e, 0x1ccec98d, 0x239461d9, 0x3226ef2e, 0x6b9ac0eb, 0x603cb565, 0xd2ab05a5, 0x8a5c74e9,
+    0x4b2f13c8, 0x7e8e508e, 0xf7b1110a, 0x37b054f0, 0x29042dd9, 0x6ab63d75, 0x3ef4690d, 0x8274d3bd,
+    0x133c66d8, 0x0df7e1e4, 0xd6fc9d63, 0x8f2253c8, 0xb493f534, 0xa74edef0, 0xbffd4c93, 0x17a04dbd,
+    0x3c24d7c1, 0x38c11986, 0x2722adf5, 0x4803016f, 0xa59011e5, 0xd29cfc62, 0x05e30bbc, 0xcb0849e7,
+    0x97d6a7de, 0x6377a1cc, 0x4dfd43db, 0x4ecdfe1b, 0x785f80d0, 0x1d6e0279, 0x2f0b850a, 0x51da680e,
+    0x6f116948, 0xa7fd0214, 0x662aed6c, 0xe8001348, 0xe5412982, 0xd6d36b0a, 0x911edff3, 0xa3d19f06,
+    0x1b89e1aa, 0x3648b725, 0x9b6fa1c3, 0x379bfb65, 0x5bf4119f, 0x8e0c8c82, 0x7c5de591, 0x50b18f3d,
+    0x1b1fddbc, 0x56ff8944, 0x0b486508, 0x6ec39065, 0x1daf3a3c, 0x23eab3c2, 0x74134854, 0x3208e63b,
+    0x729a9300, 0x68c7c260, 0x7f9d8d27, 0x92736643, 0x260a6919, 0xee80a39e, 0xbf061aeb, 0xd000a80c,
+    0x9bcfa08b, 0xf3a8e4dc, 0x94926482, 0xadf4f235, 0xc2faaae0, 0x5787d12c, 0xc873e381, 0x8b94d19e,
+    0x26642c0e, 0x4beacf6f, 0x6b1c58a6, 0x8866deb7, 0x0a9b1456, 0x416c8b48, 0xeef2774b, 0x192a04aa,
+    0xe04f7916, 0x0ef2ad3a, 0x8aadb16f, 0x094b6337, 0xf5a23edd, 0x2ecf3393, 0x587b067a, 0xc50f8819,
+    0x72b0322d, 0xf19edbcc, 0x0fd71d98, 0x5dfc9d13, 0x5b985cac, 0x44e568c7, 0x21067d57, 0x1ac357bd,
+    0x9853e8a9, 0xfd52ba12, 0x09ef759a, 0x1b84ce78, 0xc0f83665, 0xdb77f02c, 0x10e982bd, 0xd5ce20fc,
+    0x79bc21f8, 0x3c25c865, 0x77c9a9e4, 0x0cc75818, 0x29753bfb, 0x437c0d9b, 0xdeddfc48, 0x30cca743,
+    0x8e6a64f5, 0x58257cd5, 0x3ad5d8b0, 0x608bf22a, 0x322043fc, 0x2691a2f5, 0xdfef3a2c, 0xe8b67760,
+    0x286ed8e0, 0x8da29b2e, 0x19ff9823, 0xc9462fa9, 0x46a14b63, 0xa6d40c02, 0x31d8cd4e, 0x8221b372,
+    0xafa0f8ac, 0xa452020b, 0xa155480f, 0xfd27ad76, 0x4a4bece8, 0x43ea2e76, 0xe4a32a25, 0x9e9ae838,
+    0xcae43507, 0x18c6ed0d, 0x1a7f54b4, 0x913b904e, 0x2a4116dd, 0x201237dc, 0x9e692ee7, 0x3ef9f57d,
+    0xea19679a, 0xda0e46c8, 0x266af598, 0xb080f436, 0xe81baceb, 0x2a07493c, 0x7d9db51c, 0x3f1e82f0,
+    0xa656f1dc, 0x96df74db, 0x8a3f46e5, 0xf00711a3, 0x166a0bab, 0xc61c4639, 0x47182252, 0xe66dd914,
+    0xc9801d82, 0x86a748cf, 0x3366af24, 0xdf1609a4, 0xc3688319, 0x902f91d9, 0x5916b5ab, 0xb14c76e3,
+    0x3b8ffa55, 0x037976bd, 0x0ce66f50, 0xc27e489a, 0xc7c06f56, 0x53412984, 0x06b86dd4, 0xa167033a,
+    0x7250d87a, 0x7b2e193a, 0xede47e78, 0x28510883, 0x28f95775, 0x9f4949e2, 0x3b55cd0f, 0xafd0ffdb,
+    0xb27fe5fa, 0x69b4ea8f, 0x2ee64417, 0x2960119a, 0xb3477099, 0x267f5748, 0xdb33c026, 0x7cd3c35b,
+    0xf9ffde8f, 0x4038a989, 0xf70a39bd, 0x06d710a6, 0x3e256d7f, 0x814a23a1, 0xb1ab122e, 0x5ff68b5b,
+    0xc206818d, 0x37c7eb5f, 0xe8bc7c1e, 0x39aa2ad6, 0x5fc0e388, 0xcbccc390, 0x33d54ebd, 0x0f38536f,
+    0xec2385d6, 0xcae6b513, 0x8e32180e, 0xfe299681, 0x03edfc5f, 0x865eeac3, 0x3f39a63b, 0x8c9172b9,
+    0x9288c388, 0x424b398d, 0xa8e6cda5, 0xa45ff9fe, 0x687f3840, 0xfe78ba10, 0xaa6cb3bb, 0x87b1718a,
+    0x8f9fb89a, 0x21d0bce8, 0xc7082dbb, 0x63c2da33, 0x5886874e, 0xd2025be1, 0xecc85831, 0x30aec5b0,
+    0x4e0e535c, 0x35cac96d, 0xefddb073, 0x33571a1e, 0x4ac06f29, 0xe5888606, 0xadbaae2a, 0x333980db,
+    0x205212b9, 0x9a7c5c4f, 0x9d59451c, 0xc59e3a39, 0x565bd6b3, 0x9b83a164, 0x9e0d6b7b, 0x4f186963,
+    0x468059cc, 0xd979dfbe, 0x2b32c353, 0x9533f4e4, 0xb958f949, 0x6b84b609, 0x17a10362, 0x6f74d236,
+    0xc8b192bf, 0xe6b47823, 0xbb81a0d2, 0xbd404e83, 0x5ea397e7, 0x3fba1240, 0x639d3172, 0xc4ec3afd,
+    0xa2a07312, 0x4b101293, 0x479990c6, 0x40f777a4, 0x32f010de, 0xe9c95704, 0x5262b6a6, 0xa7dfd1a2,
+    0x37a92c74, 0x5101ac02, 0x7e5777e1, 0x1b403177, 0x1c4f9efc, 0xa8070b5e, 0x1ad6186b, 0xfe40f33f,
+    0xa10f23d5, 0x154b5c86, 0x7991b8e2, 0xf9b2ff70, 0x783f37e1, 0x30dcc41b, 0x21caafb2, 0x1655a7d3,
+    0xf33f1014, 0xad4e68fb, 0x0710638a, 0xf00d4768, 0xb522cb1f, 0x0c3fb5a3, 0xbd23508d, 0xfb76ba11,
+    0x07155ba1, 0x51c7f92e, 0x5f4bbe87, 0xb2adb8d5, 0x6b44fe76, 0xe4397f92, 0x14f69a6c, 0x016d2723,
+    0x2f5488ab, 0xfbfdab8b, 0x097d54bf, 0xc4cf427e, 0xe5a238f4, 0x14222ce8, 0x5ffebb76, 0x4b1b262d,
+    0x1ef1ea55, 0x277cf338, 0x73eff745, 0x63186da7, 0xb80f5199, 0x2bcaa361, 0xd6f0a92c, 0xa84dc4b2,
+    0x80ea949b, 0x4b114a6f, 0xea0efb7b, 0x69a8eab9, 0x07a3c7cc, 0x0992b2ac, 0xa647c611, 0x9046b026,
+    0x440f11fa, 0x3b7e5df2, 0x3f827216, 0x364744de, 0xe24b979b, 0xf147668f, 0xfb869180, 0xedac5415,
+    0x6f824966, 0x3cabae0c, 0xeef38026, 0xdf95da95, 0x6c7b5696, 0xc57430f7, 0x618e5371, 0xa212ca44,
+    0xd6fc90e9, 0x190ff794, 0xd956dbe6, 0x27bec123, 0x0f1cea59, 0x39736a4f, 0xbf127578, 0xf98c7f32,
+    0x9b604741, 0x02ab276d, 0x70752f54, 0x11bf0403, 0x50d7e4ba, 0xa81b96f5, 0x1e692f63, 0xcfa682e7,
+    0xc8a0d470, 0xad6ba56d, 0x8ab76527, 0x05ac7b3d, 0x0722afe8, 0xadf42e0a, 0xde7d8ac5, 0x2bf85fd6,
+    0x1d4c9a5c, 0x6dc4d356, 0xbd29103b, 0x4a404ac5, 0x1dffc6bb, 0xbe34b57f, 0xb891be75, 0x72e6a4d1,
+    0x3a68475d, 0x0a5e7137, 0x91cf7b3f, 0xf7e6acac, 0x39b4333d, 0x3d54d63a, 0xc94ebb5e, 0x1012412f,
+    0x3b2d6a58, 0x2a7dadf1, 0xb7a2a1ad, 0xc1052a6a, 0x9b9b8afa, 0x6983828c, 0x70f5c50c, 0xc77597df,
+    0xaf10878f, 0x5e076911, 0x9af88347, 0x21cb7ea1, 0xf5ec4565, 0x5a1167ea, 0x316fe293, 0x91f6159c,
+    0x5e4384f6, 0x9cdae95a, 0x6aca8b9c, 0xb0b0b0cb, 0x7fcceb15, 0xb09ea6b7, 0x42e8c34a, 0xfbc7bd01,
+    0x5271e4cc, 0x1dc08a4e, 0xbc540072, 0x936ff2cc, 0x7b944dda, 0x9f0ea94a, 0x3d8989ae, 0xb9d83f97,
+    0xd3816589, 0x75804e16, 0xc812769b, 0x8d5c6770, 0xbd9badc6, 0x480118f1, 0xe655f271, 0xc6264d74,
+    0x1d6b84df, 0xb1a8e34b, 0xb580b5f3, 0x3f673f4e, 0x574c52a7, 0xfa15f9cc, 0x5eb46ca6, 0x53636d79,
+    0x2b684f5e, 0x2601da87, 0xccfdaf16, 0xb011ede3, 0x29e0a86b, 0x0fe76212, 0x02a8265a, 0x54db8100,
+    0x363df668, 0x6e658e69, 0x5b7bf917, 0x0f39e510, 0x0135f7af, 0xb2cd9c6c, 0xe5425002, 0x57ed7634,
+    0x949a554e, 0xa4f231c8, 0xcd776293, 0xdc181e0c, 0x434b872d, 0x3563c635, 0xab07a5ef, 0x7be66c51,
+    0x5f1c2f12, 0x1e06c45a, 0xe303341b, 0xd55dddfe, 0x1b63be56, 0x3d7090e2, 0xf99c74b0, 0x26fcf052,
+    0x63171b65, 0xab557eaa, 0x6fa13fa4, 0xbd7511ee, 0x8f52e15f, 0x3fe0391c, 0x0f9cba95, 0x601cd5de,
+    0x190c3e87, 0xe402db0c, 0x473e8ff2, 0xb72e8127, 0x47b7f475, 0x384ae71c, 0xdc43110f, 0x1c05a730,
+    0x61124fa3, 0x75ac5eed, 0x5a321cec, 0xe0ca2416, 0x6029c050, 0xf5c185db, 0xd5f8cf2b, 0x12e5caff,
+    0x19531523, 0x720a985b, 0x98770190, 0x95c0dcd3, 0x08b6f24c, 0xd34bee91, 0xc45bf9b6, 0xbae5961b,
+    0x4b05b313, 0xbd9c0812, 0x617f29eb, 0x2c29999a, 0xd99000bc, 0x254567d2, 0x3136cdeb, 0xad9f5730,
+    0xe33284ba, 0xa9740e9b, 0x15cdc63a, 0x80e66b72, 0x036ea482, 0x63008cab, 0x6a6be5a7, 0xca8a5256,
+    0x0cf1d2de, 0xb813c822, 0x7072d7b0, 0x966a4fd8, 0x4b6fb174, 0x0a4acc75, 0xf82b3bbd, 0xf1aae7bf,
+    0xad3f2c17, 0xbd0f4daf, 0x751e69b4, 0x1aae3f21, 0xd72ce521, 0x24b1cbe2, 0xd3378e7b, 0x7248d4d8,
+    0xb003c95c, 0x29c1debf, 0x410ccbd6, 0xfb1a3b49, 0x49d21cf9, 0x7afa1758, 0xed3f8c2e, 0x50ff7167,
+    0x4b9dcd95, 0x22f043e9, 0xda0b0a60, 0xba25a523, 0x90d4b801, 0xd7f3120a, 0x7c88a82e, 0x368cd71c,
+    0x6187e891, 0x26247f46, 0x719546a7, 0x82eaf726, 0x7f99f4f6, 0xf7f60154, 0xc35f9d29, 0x2de49d41,
+    0x317a05a8, 0xef732a91, 0x2fc741cc, 0x631c2271, 0xc931d8e5, 0x74244904, 0xdfbd6dd6, 0xb18ac786,
+    0x536fd237, 0xf890049b, 0x798c5b17, 0xdd6cb0b6, 0x7e1e0dfe, 0x2b46081a, 0x2e1e5d1d, 0x896646f1,
+    0xe2e5d900, 0xb123223f, 0x87e98ae1, 0x4be134ea, 0x76da6006, 0x46a4943c, 0x96a82fcc, 0x847db7ba,
+    0x3e146802, 0xedf442bd, 0x3f3b663d, 0x8fa53bed, 0x7b77f33b, 0xa1135227, 0x6eeeffb9, 0x412d0853,
+    0x8cf0c1ce, 0xdbfa3935, 0x1481d37f, 0xe6743664, 0x02c4547f, 0x7e72ec7b, 0x8567c37f, 0x92cb0182,
+    0x6f089561, 0x8e50346e, 0xd1e883c7, 0x93830e21, 0x6a0a3b5c, 0x99330cb4, 0xd64be51c, 0x7567bd3d,
+    0xef35277b, 0x380ea110, 0xbcbccf89, 0x79bbf2d5, 0x9def353f, 0xf0a0a867, 0x65a5bf1a, 0x28c872ad,
+    0xcf127584, 0x0a1f2584, 0x727a3c9f, 0xfb0ecca0, 0xb8e6abff, 0xb1c031bc, 0xa68f2e53, 0x3edc7632,
+    0x421cffd1, 0x6fceedc1, 0x8fdb7498, 0xc532f1dd, 0xff2ae950, 0x8d224acc, 0xc35ade9e, 0x585138db,
+    0x31acecc9, 0xa97c09c6, 0x0fb7b4f7, 0xe5a7ba8d, 0x041a257c, 0x761aef9e, 0x1b747bfb, 0x90529d08,
+    0x572a0f6f, 0x63ad4ed6, 0x775858d0, 0x7a22ccf9, 0x54b7d6aa, 0xc9817c15, 0x4838eca0, 0x08295bb4,
+    0xc65a1dbd, 0xb0454331, 0xf45875e1, 0xe45dd2ee, 0xf1af3f2a, 0x7f31bfe2, 0x7da31392, 0xb59aa31c,
+    0x78bcbf0e, 0xbb1e5b61, 0x554c1bdb, 0xed81ec13, 0x0ec2835d, 0x948832e7, 0x848d66d9, 0x50d8cb08,
+    0x2edc85e4, 0x47e5d70e, 0x74c06dc1, 0xa041caea, 0xead1707a, 0xae5127e7, 0x2def6df8, 0x95caa5a9,
+    0x4212c87e, 0xbecd2dbc, 0x1bb7b64b, 0x4df42e34, 0x79b5c4b5, 0xfb7cd6e0, 0x291c45ca, 0xdc985f05,
+    0xadaf6d8a, 0xed9bd93f, 0xf8bab050, 0x839c45da, 0xcd099691, 0x8c5e7331, 0x82420a17, 0x8fd97d50,
+    0x24f332b3, 0x6c33b82a, 0x4e00e547, 0x5faeb2d9, 0x7439f7e1, 0x6010b7b5, 0xdc85a869, 0x717ad9c3,
+    0xc9814fcb, 0x4a34bd0d, 0xc13031d7, 0x2b162e13, 0xe1b40799, 0x8b6bdee6, 0x300eb143, 0xee005c34,
+    0x213332dc, 0xf4aec8c2, 0x74b3554b, 0xd72a5715, 0xf303fb46, 0xbc742837, 0xe3fe3ed0, 0x9b0a2dbb,
+    0xaccc2107, 0x61b6ff26, 0xf2f0596f, 0xcc73ea5d, 0x19309fe5, 0xacd3a08a, 0x7d8caaef, 0xd7f607e4,
+    0x18f01578, 0x6ff83121, 0x53aeba4a, 0x910206c1, 0xc314be50, 0xa78531b6, 0x18cad1d6, 0x37240e46,
+    0x5ff6cf7d, 0x1e67f260, 0xc4de07b2, 0x5abb3e03, 0xb93308f4, 0xe5ca4f11, 0x23b37361, 0x720f3bb3,
+    0xfc7fd669, 0xb0882393, 0x28749b64, 0xb9089952, 0x3a16c85f, 0xf9f92e62, 0xf63fc870, 0x93cfd290,
+    0x8bf74a75, 0xab9e8161, 0xcf95831a, 0x7b41b4e0, 0x362a0bbb, 0x81594f0d, 0xd6aad780, 0xfbcb4fb6,
+    0x5d022b91, 0x0b97b262, 0x4021f56e, 0xd9d94c63, 0x3ade6ccd, 0xcc45e094, 0x466059da, 0x03667a46,
+    0xddcf7711, 0x23f4fe5b, 0x75baa653, 0xc4022da0, 0xe3af3d83, 0x8fb96c78, 0x5743c0ee, 0x2d5d23b9,
+    0x1a1c3d39, 0x230317cd, 0x64b5a2af, 0xecf39934, 0x382d4ceb, 0xcf9868b0, 0xe580dabf, 0xe28b4791,
+    0x14d84f71, 0x28840b9e, 0x9cd7c091, 0xaccaf001, 0xcbdf68a4, 0x7224a698, 0x678512b4, 0xdb8d2094,
+    0xbfdda60a, 0x5be212c0, 0x541861d7, 0x0412f5e3, 0x8707f28d, 0xa7085644, 0xbf384d49, 0xc6a82823,
+    0xee521e7a, 0x39c71040, 0xf9446ce6, 0xe36de3b9, 0x30d94b46, 0xe3cc20c4, 0x4593f3bd, 0xbf57dea7,
+    0x0cc8d178, 0xa38eea4b, 0xa12c12af, 0x324c0bdf, 0xa5bc94c1, 0xcbd1924b, 0x1723b873, 0x0a6305f7,
+    0x7ba0f1f7, 0xc8e5c6c3, 0x723cdeda, 0xd39a9ac6, 0x17e3cd24, 0xd6873a4c, 0x2a989613, 0x9e136172,
+    0x361c4de4, 0x541da083, 0xe4a4bb2b, 0xdc7fe480, 0x36f593f8, 0x7492705a, 0x1a6923fa, 0xb53f7497,
+    0x90cdd444, 0x5852415d, 0x1f326922, 0x27ce632a, 0x376bb656, 0x0394da09, 0x880cb0d1, 0x0ddb8e47,
+    0x4d875021, 0x2d03035c, 0xb26a44de, 0x7f1994d8, 0x1133a703, 0x4d0e014b, 0x6523727d, 0x8f397bf2,
+    0xb4b06f39, 0x338e28bc, 0xf28f2a32, 0x6b995dd2, 0x8d25931e, 0xecb9ea1e, 0x82648643, 0x058de061,
+    0x23d7bf9d, 0xce418062, 0x0501da50, 0x0f7440e9, 0xc876118b, 0xb834b92d, 0x24b1aee8, 0x42b2a38c,
+    0x3c24830b, 0xb86e9bac, 0x9c655f0d, 0x6735ce2b, 0xcffea82e, 0x42274d5c, 0x256716e2, 0xa7fc7f77,
+    0x9b5d3715, 0x3d540a57, 0x87ca252c, 0x23754e1f, 0x007ee5c9, 0xe8f01ec5, 0xcea6caba, 0x1eeb87d5,
+    0x64b0da00, 0x6511b5fe, 0xc9833d21, 0x02c293b6, 0x6eae8e11, 0x3d02fa3f, 0x3f12fcc0, 0x1906598f,
+    0x8521b173, 0xd7b781a4, 0x3165f51f, 0x2bcabe61, 0x5e178756, 0x0c94c245, 0xa06b39fe, 0x28f43659,
+    0x7b08595a, 0xed82128c, 0x56215744, 0x5f608ee4, 0x95172cf7, 0x99bd0285, 0x69185df7, 0x852a9845,
+    0x00000000,
+    0x9a35ab2f, 0xca11b7fa, 0x52f429eb, 0xdb41549c, 0x2ae0c5c1, 0x9af02162, 0x187a62f9, 0x49537f7d,
+    0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000465176783549188409951567237048322901986330470839883558580153\
+                          72747560914439257467092876227245680868195888801382801035387746214504231337984 */
+  { 0x00000000,
+    0xf54cc37d, 0x4e4d4577, 0x8ccc8490, 0xfa5ece5d, 0xa97699c6, 0x4a2d5f0e, 0x9fbabbff, 0x5ba00498,
+    0x0b69cf02, 0xe6b3df10, 0x4fb68950, 0xe20c9052, 0x90dd032e, 0x841f9091, 0x931e3359, 0x7930cae9,
+    0xa8151662, 0x22066876, 0x8766f4db, 0x227ff8ef, 0x3ebb7fa7, 0xdeb50f14, 0x3aacaa4f, 0xc415e5e0,
+    0x539780ab, 0x5dafb09d, 0x3e75d905, 0x10ef4188, 0xc0e190e1, 0x8212e3d9, 0x9f9cbea0, 0x913ad42d,
+    0x0d15a8d8, 0xaa214d8d, 0x5c8fa79a, 0x888bf60b, 0x81660b95, 0xc2176135, 0x950d8f8f, 0x07909665,
+    0x959b5aec, 0x55c0ecd4, 0xc490d8f2, 0xdbc1e5f9, 0x625161a1, 0x7682129a, 0xffb3bb20, 0xfe5b427c,
+    0xa4607ab4, 0x2dd12dae, 0x215f6dbc, 0x8a032053, 0x233efc8e, 0xb7378fd1, 0xd9d514c9, 0x9190487f,
+    0xb1cf9e12, 0xd686e72a, 0xae78c4d5, 0xa60e921c, 0x02a047f7, 0x2b438a66, 0x32b7ab44, 0x03d899e2,
+    0x2c717ea4, 0xa3287d56, 0x999a5b2b, 0x7b538a09, 0xc76fe278, 0x7df4fec6, 0xaf2dd567, 0x7183d5cd,
+    0x50634286, 0xcc43e7d7, 0x0761f31e, 0xb47a62f4, 0x549d2147, 0x436ca60a, 0x410e477b, 0xf87dcc18,
+    0xb3b5b01f, 0x5924dbc7, 0x1b1ca36a, 0x29888926, 0x7c114da4, 0x8ce482e6, 0x0b86a6cb, 0x29d61ff1,
+    0x952399bf, 0x5fe55ccd, 0xead152ba, 0xf010e363, 0xcd58c388, 0xa1a0ae9b, 0x6beb6e8f, 0x75ea337e,
+    0x8c10f006, 0x81a96197, 0xa0e6e755, 0xd02c5c76, 0xd5eef644, 0x01c7e7dd, 0x4203c2ef, 0x4f9f7637,
+    0x6169d559, 0x4579667f, 0xe7ed0314, 0xf6141320, 0x83990b7d, 0x2de672f2, 0x20be9264, 0x133b5bc4,
+    0x1d9ceca5, 0x68b2157e, 0x0f36a018, 0xc82dafb5, 0x86ae62ed, 0x422a32ce, 0xeb469c47, 0x370ea0d4,
+    0x5e1163f7, 0xb2d9c4ae, 0x594f4c67, 0x7e42797f, 0xca925044, 0x4f4193aa, 0x557b9e3f, 0xa3dcc1e2,
+    0xc75dd933, 0xa3431e5b, 0xcc7c6a3f, 0x7adb7b32, 0xe5cb8c79, 0xbc4de644, 0xeb977e87, 0x6f05f878,
+    0x095e8623, 0x681fc520, 0x7ba7a8ba, 0x2b22013e, 0x38fc95ab, 0x0317f2e0, 0xf9d0b3d9, 0x027aa46d,
+    0x0a2efe98, 0x5a4aecf3, 0xa9fda893, 0xbfdf2b5b, 0xe54fd965, 0x36f2fc7d, 0x9c6d1586, 0x869fb834,
+    0xf9b8d759, 0x4c3d649b, 0x5b1a1bee, 0xef600211, 0x198c0a38, 0xa8110a60, 0xcb83d570, 0x1e1a68f4,
+    0x57a7f796, 0x5890fa66, 0x7fcca7d2, 0xdb8e931d, 0x0e5aef1a, 0x486542ec, 0xe1a03dd2, 0x9dbf44f0,
+    0x5f7c21e2, 0x31c46aa9, 0xed0eced9, 0xffaf5b84, 0xbe0b36ac, 0xf42a9579, 0xf18c494e, 0x814050f9,
+    0xd829b0c5, 0x8ee3780b, 0x0bb57e9f, 0x2c98a73d, 0xaf0668a6, 0x8c47ad84, 0xc4b54363, 0xdc4d2a86,
+    0xe02c8b3c, 0x8ee57434, 0x4f772e4c, 0x0ea58c34, 0xf4e5a816, 0x7b29b975, 0xa0756bd3, 0xef65f7b6,
+    0xf20ea3a1, 0x7d158ec4, 0xcca8aed8, 0x7b52f0a1, 0x5ebd49b4, 0xb21113c5, 0x431d0655, 0xb9a04fe6,
+    0x14617bf3, 0x07884b39, 0x722ebd28, 0x90af6446, 0xc948ab00, 0xe9df22d2, 0x64efae95, 0x523f962d,
+    0xfb3a578e, 0x8f02eb17, 0x81d8d065, 0xf7846808, 0x7b7588fe, 0xe75d4104, 0x2f1a7f70, 0x4c500750,
+    0x2ad13579, 0xf5e61549, 0x28e98911, 0xd8e8100b, 0xecd0aa32, 0xa09d113e, 0x3625c184, 0x4ecfcf23,
+    0xf73df6cf, 0x493725e5, 0xab6220df, 0x5122b63a, 0xfbff29e2, 0xc256f9ab, 0xabb732c4, 0x002786be,
+    0x1430c903, 0x1234f568, 0xaeaa1d7f, 0x59c670ec, 0xc33cfdf0, 0xb7ebf33d, 0x673c1953, 0x60967787,
+    0xce485d9f, 0x6b432902, 0x4485578d, 0x20aa255e, 0x3bfdd578, 0x7a6518e5, 0x6b557373, 0xf1f14f8f,
+    0x05ac378e, 0x5be7db4d, 0xcabe0c6b, 0x537dd084, 0xdedeb1a4, 0xd40cce40, 0x9e4313a5, 0x6ab33627,
+    0x92314f5e, 0x511803c3, 0x0a973722, 0x9c3f4b90, 0x75d6cfba, 0xcc350823, 0xb2f8f69a, 0xcbd8f5de,
+    0x269fa9cf, 0x1f3ddb04, 0x2d5a64eb, 0x6cf87e34, 0xa347551c, 0x71c2df94, 0xd073e81a, 0x7049347c,
+    0x3b43e54f, 0xdf687608, 0xbcd8f004, 0x96175130, 0xe6731fa6, 0x98c6754a, 0x308194c5, 0xc3cf4bcf,
+    0x1bb77698, 0xf0e27463, 0xe9b1424a, 0x3331f4bc, 0xb3de87ff, 0xc254a63b, 0x51db3a88, 0xe35bcbff,
+    0x1abda83b, 0x4f0164dc, 0x968caa3b, 0x07094a45, 0xa010a154, 0x77c33440, 0xceff6a79, 0x93082854,
+    0x56c2afbc, 0x67fd784d, 0x350770c3, 0x7c4b6d25, 0x9ec64a73, 0xc63460fb, 0xcfd64bb1, 0x30edae2c,
+    0x1b0c800d, 0xbc0c014e, 0xe4d42d62, 0x965e04d4, 0xcd355b71, 0x8f65b08e, 0x8b2b3a7d, 0xbe7cd778,
+    0xa56b9b6c, 0xb371cb57, 0x5050736e, 0xb7a2c386, 0x189e05f3, 0xf78e7628, 0x9a4d630e, 0x81aef4ed,
+    0xdf6d06f9, 0x10a22550, 0x8cd11ecc, 0xe4a9964a, 0x59f572b0, 0x78a2ed4a, 0x51fd24fd, 0x19962e16,
+    0x5b225771, 0x5dfbf2c6, 0xc9d03603, 0xa41ff53c, 0x99e582e2, 0x4857a97b, 0x16e3c423, 0x670aac6d,
+    0x3b035e77, 0xb2346eb7, 0x0d1daf92, 0xf9b3ea40, 0x9f132d29, 0x134bbd16, 0x1897baa7, 0xf77677be,
+    0x5e122368, 0xdf134fa6, 0xc7da3775, 0x68ca498f, 0xbd4bac2f, 0x43eec835, 0x3c7380af, 0x37ccb1a2,
+    0x2bc680cc, 0x1e819017, 0xa00bd66e, 0x279039c4, 0x2ac84ffb, 0xc2842147, 0xd7b36ccf, 0xf0cbe12d,
+    0xdc9576b8, 0xe4797d10, 0xfa2556cb, 0x42567955, 0xfd31d921, 0x6cc9fdaa, 0x3f3eac88, 0xc055efb0,
+    0x22a16845, 0x433c53dd, 0x59a74d3a, 0x96339b17, 0x1ce2aac9, 0x0145a63f, 0xa5e5ec6a, 0xc25fea13,
+    0x7872d28f, 0xf741e5cb, 0xba7e9756, 0x14134c2d, 0x62fb12ca, 0xcbcfd522, 0x6d9007eb, 0x7cf471d6,
+    0x2a958ac7, 0x4da5b032, 0x1b54373a, 0x8cf63e2f, 0xa8ad9cb8, 0xc8d5fd44, 0x03fb83bb, 0x636390ff,
+    0xd052d658, 0x805f8c2e, 0x48aee475, 0x1b69700a, 0x76f959ad, 0xfc702d1b, 0xcc3512c1, 0x67a9563e,
+    0x940f8ecb, 0x99840352, 0xed14d776, 0x6af10153, 0x0bbbc603, 0xfaf8c6d5, 0xcaeb689c, 0xb4386e67,
+    0x5428b72e, 0xbd9ca459, 0x56f6249a, 0x4436335c, 0x7c736aa4, 0xce1c0284, 0xcc1b444f, 0x1b6f0f35,
+    0x07999da2, 0x2b4c8506, 0xe0a1cbf0, 0xc79ae2ae, 0x699adeec, 0xd660196f, 0xcc1fb481, 0xacfcac21,
+    0x1377cc85, 0x79e7d6bb, 0x68e1b54e, 0x8d0c141e, 0x28eed078, 0xdad623b4, 0x1611dac3, 0x8e241315,
+    0xb48e8fc9, 0xeefa8803, 0x935a32a1, 0xd2268e9c, 0xae068883, 0x7d5a3921, 0xc5c4eaa0, 0xfd3cadd6,
+    0x43e7313d, 0x855390e7, 0xec083cab, 0x4cdda37d, 0x6723c704, 0x4a384291, 0xdab5e6c6, 0x8c983e80,
+    0xe149481a, 0x9cfa2cea, 0x221f2ce3, 0x260fa6e8, 0xc534ab69, 0xb4ae6a7f, 0xb518876f, 0x575cc963,
+    0xc21a9783, 0xe4533bdf, 0xa270e782, 0xeabba5fd, 0x106db885, 0x1ef654d1, 0x5a3d3ab4, 0xa423a600,
+    0xd29ce42f, 0x63e0facb, 0x67b72072, 0xd737b20e, 0x2289b110, 0x126c3e5b, 0x08749921, 0xbe40bad1,
+    0x49580c22, 0xb2ceeedd, 0xb873ed16, 0x447ccdb9, 0x0d4140c8, 0xe9c96f74, 0xeafed2f3, 0xd1ef2fd9,
+    0x89328289, 0x3b319e1d, 0xfc0cd403, 0x9f34fea2, 0x6e539a6d, 0x245d9b2d, 0xa5df6f77, 0xdd1d7260,
+    0x4d88a164, 0xa0f76296, 0x75073ba3, 0x53bce33a, 0x2f1fb925, 0x30e41fed, 0xbc20992d, 0xdc94fcd1,
+    0x27174dcc, 0xe9e05562, 0x6824b314, 0x1933cf19, 0x0314a8d7, 0x154d57ec, 0x0fd0525b, 0xb3974941,
+    0xd84473f2, 0x2218b884, 0xb5224b69, 0xaf3b87e1, 0x05210c32, 0xd8a71620, 0x6d1c85ab, 0xfce41d2a,
+    0x88498477, 0x8936ac23, 0x889e2c66, 0x388f9911, 0x4152e399, 0xe1f60e04, 0x85b8f046, 0xae02fa36,
+    0x252ecea1, 0xc9643b22, 0x22b2f541, 0xd4305702, 0x0a6bcf48, 0x0ad54570, 0xcdd8c273, 0x1174cf41,
+    0x7e8dceb8, 0x72edb76d, 0x37f46d67, 0x5e485170, 0x1b74f743, 0x6d567847, 0xdd2cf801, 0x3069ac4b,
+    0xa8be194b, 0xa6e1d185, 0xd23472bb, 0xc7b78037, 0x557d2424, 0xc1b0ec89, 0x40e11b54, 0x0de01fc7,
+    0xccbd1352, 0x8bd19e80, 0x284fd230, 0x0d2ae36b, 0x628ad58a, 0xc7422cf5, 0x520a5426, 0x51b86b59,
+    0x8c29b614, 0xe1993725, 0xaf7becf0, 0xce8d9db2, 0x601caca9, 0xee3337ea, 0x8d6260ef, 0x260aecb5,
+    0x90810c6c, 0x2827c15d, 0x94c41d70, 0x6e905030, 0x18a889b5, 0xe09e9970, 0xe725d80f, 0xf10a2153,
+    0xc2d5b6f8, 0xdc22692d, 0xed5f4e95, 0x858a300f, 0x470f6c04, 0x3c4a109c, 0x005983a8, 0xcd822ab9,
+    0x7e0ad5e0, 0x243270ac, 0xea0bf61b, 0x0a7742ec, 0xaba490d2, 0x7858399e, 0x48aa82dd, 0x11033276,
+    0x9aba30f0, 0xcab3e38a, 0x40f91566, 0xdcb0ddd2, 0x6b0d504c, 0x95095909, 0x444c89e2, 0x3f945d50,
+    0xeb93a0d7, 0xa2d187f2, 0x47407b70, 0xc809b2bc, 0x79c46865, 0x4ced4db4, 0xf41feb8c, 0xc54094fa,
+    0xdd1c4ab8, 0xc539fc79, 0xbc38582f, 0xa73a1221, 0x071cf627, 0x4ce2b5b8, 0xbd48deca, 0xfe71c7ef,
+    0xd928a09e, 0xeb30811b, 0x71c0bcd8, 0x5cf92165, 0x8fbfc0f9, 0x613cdd21, 0xc16aecc4, 0x11d69d39,
+    0x88a79424, 0xe37e80c6, 0xf8346089, 0xe2dacfee, 0xa560d43d, 0x72db1b10, 0xb669ba0a, 0x5b454211,
+    0xb39fc571, 0x5f299a97, 0x207f1a41, 0x0b64d854, 0x81580a62, 0x32c3d95e, 0x6f1768e1, 0x60d805df,
+    0x463a81f2, 0xf5b8df7d, 0x6c82800d, 0x6bf88697, 0x104575c5, 0xc8d60994, 0x9223ed55, 0x3c779909,
+    0xdcff045e, 0x8b73c5ac, 0xabdb2c13, 0x982ac836, 0x91e74a62, 0x3d4e6ddb, 0xed4cc111, 0xe835a959,
+    0xe1dd50d0, 0x4088f22d, 0x4d9edf8f, 0x7008677e, 0xf97f32bd, 0x1df88776, 0x347bb81e, 0xfe840206,
+    0xf24dbc74, 0x4b184ea4, 0x1e6c6bb2, 0x6e6096eb, 0x5bc80dec, 0xd1a4b450, 0x7df48911, 0x41d2c9f4,
+    0x2d3966ab, 0xdbe1e5a6, 0x9a62a6f0, 0xa912801f, 0x7c1731b8, 0x711a9a76, 0x89e7580d, 0xf72a9473,
+    0x74b094d2, 0x6f76f105, 0x4ab216bf, 0x960eeded, 0xa06bd13c, 0x5d3b59e7, 0xb899b85d, 0x81f99e7d,
+    0x69c7ea3b, 0x783eee41, 0xb8acd90e, 0x095650ce, 0x048c292d, 0x5390e99c, 0xcca19a0c, 0x205e0eab,
+    0x1b17092f, 0x7e7c8614, 0x15807c43, 0x7e69dae9, 0xc045fd40, 0xd19bdfae, 0xd4f64e72, 0x806fbaad,
+    0xadba21f7, 0x2146cd22, 0x4ba075fd, 0x32754ca6, 0x045e6560, 0x16d6d04d, 0xc3691c36, 0xcc44caf0,
+    0x128ad59e, 0x90bf8e12, 0xfebb33fc, 0xeb318e42, 0x1d67aa92, 0x987d716f, 0xf3231f32, 0x5b8507e8,
+    0xc6b164a0, 0x1a1814c4, 0x841c3172, 0x2810878b, 0x3ce369ec, 0x2cedf9e8, 0x88a711ef, 0x78490102,
+    0x61dd950f, 0x0c4bd903, 0x132f5539, 0x822d7f44, 0x84300c70, 0x2e8d71b5, 0x2caa8ae6, 0xadf947de,
+    0x901ae40c, 0x2f23350a, 0xde32880a, 0x79e45523, 0xef6d6ba0, 0xbf3986c6, 0xac9c3d51, 0x14bf2455,
+    0x4cdb6370, 0x767a5f8f, 0x06c88961, 0x9dc3d6c1, 0x1589dbd6, 0x95e7cb77, 0x199d6460, 0xdf669a42,
+    0x08704a1a, 0x9e18cc41, 0xdbfa34a2, 0xefb37099, 0x5c7b0c34, 0x3456e596, 0x825a2668, 0xaac887ac,
+    0x3b6b5d75, 0xb9e91f03, 0x519527ae, 0x18b11eff, 0x2799ac0a, 0x9719c20f, 0x4df32c19, 0x1ab4e6ad,
+    0xe27a7ac5, 0x1530aa59, 0x5cb7e166, 0xbeadc10a, 0xfe9cbd11, 0x10304880, 0x7bf9fc8f, 0x46db9c35,
+    0xce43dbcc, 0xfefb42a4, 0xa7bc462e, 0x9f4b022f, 0xf89d3532, 0xad33e44e, 0x119f5595, 0x395ba6c2,
+    0xb1a12b53, 0xf83f5cae, 0x388c62dc, 0x1813b9c2, 0x1c64cfa0, 0xc219152b, 0x55466a7f, 0xcb97be14,
+    0x6bcfea83, 0x9ab90ebc, 0x1527aa87, 0x140f38a8, 0x5f98dd56, 0xbe1644cd, 0x5a467113, 0x8493f442,
+    0xa08f3aa4, 0x19ea87ea, 0x088e5e40, 0x1a5f26c1, 0x7176664b, 0x91583caa, 0xb5dd41d9, 0x94b3dba4,
+    0xd0ddf639, 0x2c8af903, 0x787ae8bd, 0xc3d1cfad, 0x1abe645a, 0x358b4ad6, 0xaa423bea, 0xdfe2a08a,
+    0x5773f0af, 0xd23ad08c, 0xbc5f7351, 0xde46c272, 0x58d956d9, 0x1074ecd7, 0x9d901cc0, 0x262cbc1d,
+    0x1a9f404e, 0x20e65ae1, 0x6501148c, 0x142860d6, 0x464371bc, 0x34f60625, 0x4349bc6a, 0x9e639d25,
+    0xc8bc5951, 0x0e044d40, 0x5ef8126c, 0xa1341108, 0xa93598a9, 0xcee574f2, 0x4226a742, 0x7ca31d0f,
+    0x116c335b, 0x491ce058, 0x127ceafb, 0xb00bf0e6, 0x9d215bbc, 0xc15d2bca, 0x85f0f0a5, 0x6571f725,
+    0xf7e84acc, 0x867b86ca, 0x3ece6cd7, 0x65ecce8c, 0x1a3091b6, 0xd2f7ac2e, 0x04e7faab, 0x31daa456,
+    0xaf28b30a, 0xfb7dd680, 0x49c2e668, 0x141061e6, 0x8fb42135, 0x0a1d4dec, 0xdccb93b9, 0xab6e63d8,
+    0x16b8a209, 0x20108c21, 0xa523d16a, 0xf5fb0a20, 0xa9c7c16e, 0xc6bb7bac, 0x9515653f, 0x0d2e6d6f,
+    0xbd1783eb, 0x88680a51, 0x37862670, 0xc41bf9d3, 0xc511e713, 0x26cfb22a, 0x035cc708, 0x4b199673,
+    0x264ce589, 0xec053d3c, 0x39fefd15, 0x08628c6a, 0x4469764a, 0x81848339, 0x7df2c135, 0x204159db,
+    0x01c01f83, 0x85ed420e, 0x914da702, 0x47e24dd6, 0x91b09a79, 0xcac677a2, 0x4e73fbf6, 0x15070457,
+    0x94b686c5, 0xc171e068, 0xf1a7588d, 0x3b0f8b4c, 0xe59a3be9, 0xb03ab81e, 0x0c97b34a, 0x889033c6,
+    0x3926935b, 0xca34843e, 0xb620c36c, 0xec5fe682, 0x05dbf505, 0xebaf1ee6, 0x44125307, 0x16ef2069,
+    0xca194c7a, 0xdb792e37, 0xf008928b, 0x9f82169a, 0x9c60f8df, 0x480ac3ae, 0xbcfae2f4, 0x4b105535,
+    0x2d70426a, 0x551d7811, 0x037ba815, 0x586f401d, 0x6f1fadc3, 0xea60cc49, 0x144b81f5, 0x621f9e2b,
+    0xc46307c2, 0xe96c9579, 0x33ec3fc2, 0xd90f61bd, 0xb7156336, 0x13b085ff, 0xdd5935c6, 0xff41005a,
+    0x9e929a8a, 0xa2fe8335, 0xaf085905, 0x2ac2a229, 0x6f7befe1, 0x469a53e9, 0x8ddf315a, 0x740a65aa,
+    0x447ff614, 0xf7ade5c0, 0x9fedd299, 0xdb73c5a8, 0x38a2ae29, 0x8635b3ba, 0xe382d550, 0xd41fc57e,
+    0x8047c018, 0x05edd186, 0xd8efe6b6, 0x2f603bae, 0x58b2ea51, 0xef6088e9, 0x41aa6200, 0x2f69a44a,
+    0xa023910d, 0xe063f22f, 0xb1cfd7a6, 0x8ffe5555, 0x795d15e4, 0xfbf772c8, 0x5d51b630, 0x2543b479,
+    0x967410e3, 0x90833968, 0xfdf20257, 0xb883e722, 0x8b968942, 0x35a81ced, 0x6087d552, 0xa8d7665a,
+    0x14695b7c, 0xe9778e02, 0x2a494088, 0xd9e2cf91, 0x967d9471, 0x4812592b, 0xc567f3d6, 0x29090b33,
+    0xeb7bfaa0, 0x4a659ee6, 0x4d96ae2e, 0xbbf9a1c4, 0xf8001188, 0xcecfb205, 0xdad70fa6, 0x54917e13,
+    0xdb6dbb9f, 0x6e78809e, 0xfe9b3844, 0xc8f62b46, 0x0c42fb7b, 0x72ce84ac, 0x44d8fa0f, 0x067b1cbd,
+    0x2cb9a458, 0xf075109c, 0x0402c697, 0xec19c03a, 0xff02b9f3, 0x0c819f3d, 0xd4007b5e, 0xcace0eb3,
+    0x7d699ed5, 0x5eef9833, 0x8ad4d3a0, 0x7e39df85, 0xeb83f17d, 0x52de2b23, 0x70ead180, 0x828ec181,
+    0x00000000,
+    0x4d1ad597, 0xe508dbfd, 0x297a14f5, 0xeda0aa4e, 0x157062e0, 0xcd7810b1, 0x8c3d317c, 0x24a9bfbe,
+    0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000232588391774594204975783618524161450993165235419941779290076\
+                          86373780457219628733546438113622840434097944400691400517693873107252115668992 */
+  { 0x00000000,
+    0x82c9328b, 0x06784c96, 0x094e9397, 0x5614022b, 0xea71e4cc, 0x00785845, 0x9a1d9bc3, 0xd0a72596,
+    0xc19973ba, 0x9029d19f, 0x6a6c4d4c, 0xeb5d828b, 0x933ff55f, 0x0ee0e642, 0x4d1e8feb, 0x63ed33bd,
+    0x89a524f2, 0x7ff52a99, 0x594938b3, 0x8afce1d1, 0x51c08684, 0x373ea22a, 0x1a8a16c1, 0xcba99d1c,
+    0x3aa4c13b, 0x75d844c8, 0x0ffe5586, 0x7580abe6, 0xe8a1302a, 0x013ad23d, 0x30fdfe97, 0x46afff17,
+    0x53d62262, 0x5ab20e1a, 0x53fa6da1, 0x31b0445a, 0xdf97ea44, 0x01ff3a74, 0xa7e7828e, 0xd9033d34,
+    0x6d21ba92, 0x613296bf, 0xc726abeb, 0xbc098e19, 0x290e345f, 0x3922046f, 0x49f6c61e, 0x9efe1301,
+    0x89b94fdf, 0xd3fafd31, 0x4f9c2bc5, 0x25a5c650, 0xb33d1bbc, 0xb3d7a850, 0xa9103ba5, 0x1ebbd14e,
+    0xde26476f, 0xcb1757a8, 0x6c8969d4, 0x29a8fa6e, 0x39ed54e6, 0x2b75d2f5, 0x66ba9a8b, 0x89799c32,
+    0x5c070d92, 0x3c50d825, 0xf2c02b31, 0x9e5c9091, 0x66b03b72, 0x9b215e1c, 0x92132896, 0x6b83aaaf,
+    0x6c511515, 0x375ce491, 0xa5d78084, 0x0d0e2cbd, 0x7301e004, 0xc57bf8d1, 0xed249840, 0x6149fd0d,
+    0x4157d896, 0x41a0da07, 0xec9d56cf, 0xe7235b08, 0x36d63d0b, 0x3ef54889, 0xa5cde67b, 0x33074354,
+    0x5dcb18f4, 0x19487bf4, 0x63dab547, 0xc2aa6b62, 0x91cb8b32, 0xa57256ef, 0x4e70c82c, 0x59006d54,
+    0x49d8103d, 0x46512db9, 0x1dc5d2bb, 0x33caa3f0, 0x36f21d38, 0xecce1e74, 0xff3a20e8, 0xd51359af,
+    0x78c4ccb5, 0x9000eda7, 0xb7ec9c51, 0x46696d03, 0xd341a6cc, 0xa3c48754, 0x2333f48c, 0x857f7906,
+    0x2d9492a9, 0x83082acf, 0x36e8ce08, 0x78766c70, 0xd7617b49, 0xab372b1c, 0xa806865e, 0x9ba207c6,
+    0x2c26bde2, 0xc405e64b, 0x33cda3e7, 0x7c637a1b, 0x9ff02a3e, 0x6915de3d, 0xfb003558, 0x65c49b9d,
+    0x97079572, 0xce4050ea, 0xa6510eda, 0x49a4e157, 0x44f968e2, 0x6e6e8cd9, 0x79b6187f, 0xe6087adf,
+    0x101ae114, 0x27dc3fe3, 0xe645d6f4, 0xca57896c, 0x6d74617f, 0xfa8e8fb7, 0x12c3b980, 0x795039c4,
+    0x11b2bb4a, 0xc57d56f5, 0x1892b115, 0xc3a35053, 0xd015bcaf, 0x36808585, 0xba89c386, 0x0dff6364,
+    0x3bbe8a83, 0x306161af, 0x2ab08e93, 0x5d60dad4, 0xb0bec908, 0x5947cda0, 0xf10ceadd, 0x49007d04,
+    0x6d41c436, 0xc6fe6bf6, 0x8387bc53, 0xa3248f0a, 0x3a3d3c56, 0xa934b6ef, 0x5d0c639b, 0x6e4685cc,
+    0x035c3458, 0x0db2a3a9, 0xe62524c2, 0x5cf55dcf, 0x44e81cdd, 0xee303cb8, 0x96d4eb16, 0x80130a26,
+    0x16d903d3, 0xfb1a72a7, 0x574f4f0a, 0xeb7a5900, 0xcfb1bcdb, 0x023a94f6, 0xd59f18d8, 0xbb518b8f,
+    0xbff8ca6b, 0x4b4a2c01, 0x13cd6591, 0xada1d09f, 0xffb19d6e, 0x89416d8e, 0x4bd6c291, 0x8d55e34a,
+    0xe27d9d9e, 0xda4cb89c, 0xcfb4a3d1, 0x17019851, 0xe66748c1, 0x2bdcd15b, 0x8f82da10, 0xd19280db,
+    0x265456cd, 0x1ff77bde, 0xcd204b64, 0xafe3a59e, 0xd7101d1e, 0xcc5ee3e5, 0xac3ab21a, 0x459932b7,
+    0x9a5fe63f, 0xd0803ce2, 0xaec01e71, 0xf4eab701, 0xd7c3e263, 0x80f1931c, 0x15ad073d, 0xf7ada052,
+    0xd38ae6c7, 0x22c8050c, 0xd1f47779, 0x50546708, 0x1ae8b193, 0x1f90a2da, 0xbe4068fd, 0x73c7cd31,
+    0x983e61a5, 0xbb38554c, 0x4b504b51, 0x84e8e817, 0x08dd11c2, 0xcc2c657c, 0x7b0ff963, 0x7191b272,
+    0xbc15d955, 0x3c625f43, 0xbea8ba3d, 0x32bf6f31, 0x4415cd4c, 0x43c2628f, 0x6c3e0ec9, 0x58d5ab2e,
+    0xd7125fcf, 0xa03d9162, 0xdee12a02, 0x1b26c7c8, 0xd8c6ace5, 0x63300d05, 0x83332f2f, 0xebaa08a3,
+    0xdb319e44, 0x0209a790, 0xc5414171, 0x689aa677, 0xbfcf4d8b, 0xf188d01a, 0xb2af00de, 0x83bf2b18,
+    0x701a25ec, 0x2b308423, 0x9bcaf57d, 0xd4d864e9, 0xc8ff61a2, 0x31eb0839, 0x2c4ffe93, 0x531553c3,
+    0x3e602b54, 0x862fe5d4, 0xaa873af2, 0x92726621, 0x68d90dec, 0x8c0ccb23, 0x004bd75e, 0xab27c17e,
+    0xf5f7c2aa, 0xe3ce49bc, 0xc11bb3cb, 0x4e681cde, 0xbd8a7c74, 0x23846266, 0xcb09ced5, 0x7ddc7288,
+    0x965f5472, 0xc50da518, 0x62a4af91, 0x5d173a5f, 0xab27bfd0, 0x852b56e6, 0xc3fe9ae7, 0xdbeddb57,
+    0x714cc5b4, 0xca272b6c, 0xec7dfb24, 0x16a7561c, 0x02f26c8e, 0x4195085e, 0x2c126f1e, 0xa9caae1c,
+    0x125fec29, 0xf19f8a7e, 0xfc8bcaec, 0xea3835fe, 0x5043ce64, 0xb260317c, 0x6583f983, 0x96db4ded,
+    0x93592fef, 0xbdadbfbc, 0x062d0a12, 0xf0ef2176, 0x6b483709, 0x39f00dbb, 0x5225c03b, 0x11928bca,
+    0x66eb9853, 0x4a25144a, 0x73b894b0, 0x06f12dfb, 0x033293f5, 0x3c2a898d, 0x8a16e513, 0x085fdb42,
+    0xb89bebdd, 0xed12a333, 0xb246ce1e, 0xe05505c2, 0x2f97206d, 0xed52c804, 0x07afdab7, 0x68da4aa6,
+    0x7b8fc2f3, 0x73cb001a, 0x64fd76d2, 0x112ba0a2, 0x1d513a21, 0xded64ca0, 0x9c3b776b, 0x9dcaf757,
+    0xf2d854a5, 0x6e35528d, 0xbfebd6cc, 0xac458fe7, 0x93f2ea23, 0xe0aa1d7d, 0x01705464, 0x5a1b5685,
+    0x49b23721, 0x9ed0f940, 0xe8c4f1e5, 0xd29e8a46, 0xfc7545c3, 0xa81cb48e, 0x1a0287a3, 0x72a65b66,
+    0x34cb78ec, 0x811b03e0, 0x10aca926, 0xf65528cf, 0xeaae4550, 0x7a3083f7, 0xf33e3884, 0x0f7c70e3,
+    0xeb3833f6, 0xc92a6c8b, 0x31e06821, 0x582ef9a2, 0xbe48fcde, 0x237c2669, 0xdab88a31, 0xff9ac490,
+    0x6d25152f, 0x4a141c0b, 0xa406b384, 0x52fc125e, 0xf75957e5, 0xdaea416f, 0x838aa847, 0xd7ca7d2a,
+    0x6c8f8db3, 0x9f77c2c3, 0xbfa76d80, 0x487f9004, 0x68f79f86, 0xd39fcc6c, 0x85df8338, 0x23d447c1,
+    0x40ae2f2b, 0x976798ce, 0xfdb475c9, 0x3f84f29a, 0x496e80fc, 0x64a85d97, 0x2aa2c997, 0x17e2e8fb,
+    0xdeee3ba2, 0x81bac87d, 0xf02dde50, 0x9dfdcc92, 0x2f5680dc, 0x2c1e4142, 0x9f6e6fc2, 0xb7b53e55,
+    0x4587b877, 0xf6cc1c99, 0x0edcddb8, 0x3b87bf27, 0x30dedf11, 0xfb5df3ce, 0xd7cb8f7c, 0x1231c2ef,
+    0x4b3b6b00, 0xee0e9319, 0x26362d5f, 0x1bc397ca, 0x20b001e2, 0xe3a72d23, 0xb41768bd, 0x242748c0,
+    0x214a67e9, 0x0119bf5c, 0x49b4e20a, 0xfc4e527a, 0xed61a8db, 0x335ae98a, 0xae2d3e72, 0xad2d882c,
+    0xe4d6ff22, 0xa758fc71, 0x3df05f9c, 0x69acdf5d, 0x32432613, 0x323b88c9, 0x6bdfceeb, 0xce073aab,
+    0x58c4db65, 0xd196203f, 0x2e0aad43, 0xfb1deeeb, 0xb13a1b00, 0x10d445ef, 0x63cfb209, 0x5b8cb263,
+    0xd67b8f2c, 0x76b61997, 0x44b6b850, 0x26e16b22, 0x21f0c9eb, 0xf3041084, 0x4e2fc94c, 0xa65fb26a,
+    0x2dabd38e, 0xc3377961, 0xa4362ade, 0xe10d5964, 0xcfe0793d, 0xdf480114, 0x5cbbea08, 0xba20d6d5,
+    0x1dadd8d8, 0xe51d4e32, 0xf4d591f1, 0xb0daf168, 0xf56f46ec, 0x6b6fff44, 0x7ab987e5, 0x959fc7c6,
+    0x2f38d200, 0x83d5361e, 0x3ad0fc26, 0x57c85bad, 0x6aebc5d0, 0x981bcfa3, 0xbe0f67e7, 0x020562aa,
+    0x53eace66, 0x1aebf3d0, 0x178e218c, 0x1e90e497, 0x5885a977, 0xf482bde5, 0xc18d773d, 0xbffd9cde,
+    0xbab2164f, 0x5df4a232, 0x4e252dff, 0xa0861e8b, 0x126b411a, 0x0c9285b4, 0x20555b08, 0xdb3f75d3,
+    0xb0277078, 0x9912cb06, 0xe8ea8b88, 0xded9bec9, 0x2fca1b0f, 0x8ec7275b, 0x1e01d74e, 0x1399d12d,
+    0xa4790967, 0xf5d9da8b, 0x636df3f7, 0xc5d752d6, 0xefc1e150, 0x4aa2eff8, 0xf657e076, 0x66dbb7f7,
+    0x451fdf9b, 0xfd0b292e, 0xa746f25c, 0x7f2e3e1e, 0xb2bf038b, 0xfeb009d0, 0xf38f24b1, 0x361452d1,
+    0x5e597d4d, 0x1677312d, 0xa5d549c9, 0x5cb5ca9a, 0x20b1facc, 0x888dab36, 0xffd1380c, 0xd9a04d96,
+    0x3fdd59d4, 0xcda69c84, 0x2dbe5622, 0xea2aa45c, 0xe1fe1cdc, 0xf3d1438e, 0x09b8d267, 0x1951355d,
+    0x82399bf6, 0x06bba583, 0x9f50ff71, 0xd13f099a, 0xbab09882, 0xe5f13cc0, 0x8b748508, 0x42690ff9,
+    0x4ca77072, 0x9a2b1d43, 0x38db029e, 0x5a6dc7e3, 0x691e5f76, 0xb94914d0, 0x95b7e205, 0xfaa8ebad,
+    0xd1ad8928, 0xf5181b54, 0x45a3e969, 0x0464397f, 0xb0858d33, 0x5edf16ca, 0xd86695fc, 0xcf94bee7,
+    0x1e1567de, 0x1c95a2b6, 0x0ab3efa2, 0xfcb7cca6, 0x5ba93fa5, 0xdded64e8, 0xf5282880, 0x38b98c54,
+    0x9e966662, 0x9df87337, 0xaf84ab17, 0xc094661f, 0x7680b457, 0x762d10a9, 0x585f51a9, 0xc10b8c72,
+    0xa94449b6, 0xf9a9daca, 0x4b9e2768, 0xb8cd86b5, 0xeac96439, 0x7b0ccf35, 0xc0e23754, 0xc71798ce,
+    0x569d0b70, 0x7c73deb8, 0x4e104427, 0x9f847167, 0xc64b0b17, 0x6fefad0c, 0xec2589ef, 0x4ef686d2,
+    0x32bbd239, 0x638b54d5, 0x02a1c26b, 0x8aef14cb, 0xecb8bf3a, 0x743c7e54, 0x87f1fa22, 0x851f0813,
+    0x6d3a0053, 0x87498357, 0xdb2d4261, 0x6ce46444, 0xe602044d, 0x8c59e46f, 0x8e93e32f, 0xb56920df,
+    0x9c76ee85, 0xbe4c93e2, 0x1ffabf25, 0xd68d1ad4, 0xc27f44cc, 0xccf36110, 0x545ce002, 0x391191e6,
+    0xa113c83b, 0xe5de8574, 0x1c944c78, 0x565194c1, 0x1d56a6a6, 0xfc3072c2, 0xef078320, 0xc2c1014a,
+    0xabdb1aea, 0x24b19c9f, 0x02ec9aed, 0x1fce4215, 0x4f78622e, 0xc3a10a23, 0x0aad4d24, 0xd97036e4,
+    0x0424649c, 0x852dcb35, 0xd3312fbf, 0x12c6c3e6, 0x48eba9c1, 0x8cb30bca, 0xa8be296a, 0x4587d309,
+    0x10436a89, 0x4d286cf5, 0x2a164cfe, 0xb3ba5e07, 0x7b4baaa8, 0x3c561a40, 0x3be3c6a9, 0xba8fc58f,
+    0xc508169f, 0x15fb9d3e, 0xd883269f, 0x43684525, 0x9f7c63f5, 0x07703f2d, 0x003958ec, 0x9b40519e,
+    0xdecbadfd, 0x6c4a18c3, 0xf84f218e, 0x8164845b, 0x0b692057, 0x3f075db1, 0x9de20308, 0xb8acfbed,
+    0x6478b00f, 0xaa361494, 0x5244405d, 0x7ec42fea, 0xa602ec95, 0x54b866d4, 0xc65cb751, 0x56806b7a,
+    0xea56303a, 0xcb7c033c, 0x91f169bb, 0x9c29d857, 0x394fbff0, 0x5954c1cd, 0x078d4f9b, 0x068e4d26,
+    0x7eaf1dcb, 0x89844f6a, 0x5189607d, 0xbd36a8e5, 0xee100456, 0x9075b7a2, 0x32474586, 0x078d9442,
+    0x92e86f15, 0xc427fcf0, 0xfe041f45, 0x2f0b2dad, 0xc61ebbc4, 0xc7e0e62a, 0xa4921edc, 0xb0b338f4,
+    0x8e99677f, 0xc26109ee, 0x1f1c7b5b, 0xb3957abd, 0xe21c218b, 0x1cc86472, 0x5e28a2be, 0xa1692003,
+    0xc21f945e, 0x8ba9fcd5, 0xc725eb92, 0xfcda03c1, 0x7bd08cfe, 0x0e79df22, 0x35b95739, 0x7b7050db,
+    0x4323310c, 0x137d4f49, 0x300510bb, 0xbfad09d3, 0x2054636d, 0x99c32131, 0xcc52eaa9, 0x7f129bf4,
+    0xf0fa2235, 0x4b968ec9, 0x76194e0c, 0xf48d0e20, 0x350d8402, 0x12206284, 0x6d6c4f4a, 0xbe2c2503,
+    0xadfa1acb, 0xaa02f9bd, 0x70266b0d, 0x3bc02bc2, 0x0c4cb5ef, 0x11205501, 0xf412d265, 0xfaf9e92c,
+    0x31967e58, 0x85562ddf, 0x3256e02e, 0xedb92e79, 0x728e0119, 0x6210cf29, 0xef263810, 0x794ad80b,
+    0x5606d84d, 0x2001d40d, 0x4b003819, 0x78beb8b1, 0x5b35c983, 0x2e6622d1, 0x830ee122, 0x045a7722,
+    0x524454c1, 0xaa6fc2da, 0xbfdb511f, 0x9c6bddaa, 0xbcca5382, 0xfe4cf004, 0x9175b85f, 0x90b22374,
+    0xc97c4480, 0x4421c324, 0x8c4884e6, 0x361bb10d, 0x1cfacb24, 0x23db45d3, 0x72c000e6, 0xcc13f41f,
+    0x3497f619, 0xe761dad2, 0xb55c45fe, 0x6d8b7287, 0x08e24d34, 0x3d76eabf, 0xe1f0bf52, 0xf4cf3dfd,
+    0xe945fc56, 0x3699c0dc, 0xa2d9813d, 0x7413457c, 0xb0cc3933, 0x8734703f, 0x162ace66, 0x630b8036,
+    0x8b050a8f, 0x684b8d89, 0x9421f082, 0xcfc04466, 0x8db6a073, 0x1600020f, 0x89b4fdf3, 0x792e19a7,
+    0x951b1f67, 0x7ef673f2, 0xd2a7882a, 0x80008a7a, 0x0e5ba5fc, 0x457ab91b, 0x2fe299fa, 0xd5c6ab47,
+    0x9e53fb11, 0x47c500d4, 0x994079d9, 0x6c9f78f7, 0x3cd5abec, 0x7bbd5701, 0x7dc66a8a, 0x917d6ecc,
+    0x7b44eef3, 0xb463e67b, 0x9fc00c98, 0x2e1f7861, 0x05fae9b7, 0xa7801b3a, 0x86b22129, 0x8dab6334,
+    0x6eadc4fa, 0xdf4230ec, 0x296cf88d, 0x56a8ad95, 0x43d20eff, 0xb15dc26f, 0x4264cf61, 0x8b8b4d9a,
+    0x9784ac1a, 0xc0c9d49e, 0x14c26bd0, 0x13b33d87, 0x6b15dd6d, 0x9aa5e455, 0x3a488b8a, 0x4f7e2d45,
+    0xbe632dcd, 0x6b08b698, 0xed3a812f, 0x30a8552c, 0xf93c242c, 0x82df763f, 0x014e096b, 0x506b5904,
+    0x61ea9520, 0xbe73a7de, 0xedd2b881, 0x32d94784, 0x9a2189ab, 0x19a5415e, 0x7a668b40, 0x8df4e3a6,
+    0x9dcdc3d8, 0x32b30bb4, 0x1f7b17d8, 0x542da11b, 0x896951d1, 0x140080d3, 0xf16b708c, 0x27543d1f,
+    0xd6de3391, 0x7cf2dc0d, 0xc54abc2d, 0x68001d80, 0x110ffa44, 0x8e98ca0d, 0x9de455ad, 0x81a0a214,
+    0x129ca8b0, 0x369b43da, 0x5f239368, 0x1aaa8539, 0xcd4f62e6, 0x76d76c85, 0xcaaa0f62, 0x3abff3f9,
+    0xbf0a8022, 0x38013b1b, 0xd6274b57, 0x005d2bbd, 0x8fed8f24, 0x2cf5d8fd, 0x864bee55, 0x5ff92d43,
+    0x157b18ae, 0x8b1bcccd, 0x9d4dea04, 0xe726b721, 0xada24a95, 0x83653529, 0xfa088b03, 0x36c0ed30,
+    0xb623580d, 0x5a18b4be, 0x83fa5f33, 0xeb82a0b6, 0x10594c7d, 0x6d204f11, 0x12e8928e, 0xeed8faf7,
+    0xc6896a65, 0x85b55dcd, 0xcce2de23, 0x7cbd652f, 0xfbb9846a, 0xc49cfc56, 0xe7cd76e1, 0x59864009,
+    0x01303165, 0x945bb224, 0xdd60b8c5, 0x231c515d, 0xdb20cc50, 0xd10409d0, 0xd92dfb20, 0xfa6d6f19,
+    0xe02a808f, 0x48f680d3, 0xbc54c02e, 0x154bee5c, 0x7fa8f154, 0x6687a8bc, 0x8176e0ec, 0xee4e6a9c,
+    0x4b09f310, 0xb7f0106e, 0x606e98d4, 0x4ad5eb92, 0x41e381f2, 0x3068d2da, 0xbec34d60, 0x968b30e3,
+    0xbc6a746e, 0xfbfa0bde, 0x6fbbaf5d, 0xf735c6ef, 0x85cf3204, 0x6f89c39d, 0x8f8afe01, 0x12f68aa0,
+    0xd2be81db, 0x2d1f72e4, 0xe01c5e3c, 0x24270d57, 0x9a96be86, 0x3afed076, 0x394e62e5, 0xbc5ada9f,
+    0x3a738b82, 0x420d5c85, 0x0b3ffa4c, 0xe6462356, 0xfd595317, 0x4cde4559, 0x818b7039, 0xf2b078a8,
+    0xfea85c64, 0x9cc1ccca, 0x85a67810, 0x494164d2, 0xb4d47c33, 0x78c230da, 0x18e9ad13, 0x35b87cc2,
+    0x0ba08ecc, 0xef8a7fcf, 0x25b46fe0, 0xa528646d, 0xc3376ab1, 0xa20bc554, 0x9b5f6eb6, 0xd4cb3f70,
+    0xff862358, 0xfd378a26, 0xc4cc9743, 0xb81040e2, 0x6a55f3d7, 0x9de612a8, 0x95baedbf, 0x7ff58c83,
+    0xbc4c39e0, 0x83960097, 0x40df0742, 0xf7b42751, 0xfbe5669e, 0x5775dc7b, 0xaec6bc1b, 0xd972735a,
+    0xe1b2cec1, 0x4f63fdbe, 0xf4cfd096, 0xcc1afbf7, 0xd1ee61dc, 0x35d55082, 0x73364623, 0x6605a457,
+    0x0c16c08b, 0x168d54b3, 0xb7e90ee0, 0xc3f7493e, 0xc1bc6589, 0xb327d765, 0x01695981, 0x73584884,
+    0xfd7ff39c, 0xd5525685, 0x8e7aaa53, 0xbf4ac6bf, 0x29cc414b, 0xfe0560e2, 0x42f5eeae, 0x5860336a,
+    0x8eb0a3e0, 0x874fcbd6, 0x466f313b, 0x886d4b0b, 0x9f1200e0, 0xa685743b, 0xfddae909, 0x8145c239,
+    0x00000000,
+    0xa68d6acb, 0xf2846dfe, 0x14bd0a7a, 0x76d05527, 0x8ab83170, 0x66bc0858, 0x461e98be, 0x9254dfdf,
+    0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000116294195887297102487891809262080725496582617709970889645038\
+                          43186890228609814366773219056811420217048972200345700258846936553626057834496 */
+  { 0x00000000,
+    0x530afc99, 0xb614beb6, 0x16ded025, 0xc0960c7d, 0x1fc2ef29, 0xf7c849dd, 0x61bc02e4, 0x831c65ea,
+    0x8b845a53, 0x2d4e786b, 0x4f681dfe, 0xcfdcd9c8, 0x6b980d0a, 0xa68fe6cf, 0x2404c2e0, 0xb4f1ad7e,
+    0x41ec69dd, 0xad05e2ba, 0xaf957df7, 0x4d90f94d, 0x2aeeec50, 0x8483e025, 0xc6613856, 0x43c45ea5,
+    0x08860ad9, 0xac3e9f6e, 0x5dcd595f, 0x16b9efdb, 0x0769356c, 0x25bc6bbc, 0xb34fdff8, 0xcb6a10ab,
+    0x8512b813, 0xddebe85b, 0x0cc6c127, 0xf15e4161, 0x2b19016a, 0x82298818, 0xe01c2310, 0xb1f8898b,
+    0xa0cb2e31, 0xb4c4371f, 0xdbf43a2d, 0xb8a6ca94, 0x13c2eb12, 0x5531f737, 0xa145df9a, 0x26d13a3e,
+    0x10097026, 0x46c39f0b, 0x261776bb, 0x9f4bcbd3, 0x084e9ed2, 0x80d71c0d, 0x644272fa, 0x3b1e31cc,
+    0x153ddaaf, 0xdfee6e8a, 0x2670de6f, 0xc78f5b15, 0x66f6bf06, 0xbc50ecb7, 0xd5ced3b4, 0x557ea6f0,
+    0x54401d2b, 0xec6c9670, 0xa5604899, 0x6d202180, 0xe699a563, 0xaa89a359, 0xc64b17cb, 0xdb7c239e,
+    0x7a1b0dc1, 0x4d8f614c, 0x7ec09293, 0xc83c48eb, 0x877a7e9d, 0xd63ebd50, 0x1c6db095, 0xf2bd4cea,
+    0x44b2b542, 0xe55c5bc7, 0xe9a4ae72, 0x7d15b14c, 0x28f07bcd, 0x762a71a4, 0xba75066d, 0xe6639a01,
+    0x48f12c86, 0xb4a8e1a6, 0xe5fe066e, 0x971f9181, 0x78b2ea60, 0x01366b36, 0x665f3530, 0x1f22a229,
+    0xec8b557d, 0x5c56a793, 0x091b3636, 0x72c28e8b, 0xc7385246, 0x92e64940, 0x71ada5c8, 0xbc7d3766,
+    0x1d7fcafc, 0xe2f5bec3, 0xbe00aa3a, 0x64954c58, 0xd1c77334, 0x6dd795ad, 0xeabaac4f, 0xf40b4292,
+    0x8b719bce, 0x8ae523ca, 0x5085e954, 0xcb67f0d3, 0x72ec81bc, 0x3dc58c13, 0x276485f1, 0xbc9b6395,
+    0x2abdee7f, 0x014a34b4, 0xe10c7670, 0x3506cbd6, 0x61947d19, 0x63e1654f, 0xe53362b0, 0x0aae56ba,
+    0xca7ffad6, 0x77f03c47, 0x66352e5e, 0x7305062f, 0xb9faa9f8, 0x378ccfad, 0xd35e3b45, 0x4bbf83be,
+    0x8e0efdc8, 0x80e203de, 0x500fc27a, 0xc6afceb1, 0x752e9082, 0xa30c8601, 0x4e59e37a, 0x7022e308,
+    0x85373451, 0xbbc5db67, 0xc6f001b7, 0x9b7090a7, 0xb3e46d95, 0x0761df72, 0x3b68c65e, 0x255a468b,
+    0xa1e05af5, 0xbbe76303, 0xd7ab324f, 0xc8f66e9f, 0xb81b5920, 0x1a4d90ed, 0xa041007e, 0xdc4ffdec,
+    0xde6f6bd6, 0x0e18f9f5, 0xca6c292d, 0x62a0cfc0, 0xcb20b59f, 0xd042af35, 0xc98f903b, 0x88f8d175,
+    0x45b05f2d, 0x9ed4fda5, 0x3bd9a311, 0x3f0923c4, 0x9224b6b1, 0x057ca061, 0x1a0fcae8, 0x5864905f,
+    0x233e7676, 0x00cfec7f, 0xcdfbae3b, 0xa18a184d, 0xa987c504, 0x0a269bf6, 0x61e12ea5, 0xa11af2b2,
+    0x7c2de519, 0x22952fe3, 0xd7766cd4, 0xf78071c2, 0xd3fd788d, 0xe96b41f6, 0x5c864df8, 0x43df3111,
+    0x54e30eec, 0xa81a47ac, 0x762d0edf, 0xe8841e5a, 0xe1def895, 0x10feb073, 0x152ae106, 0x96e75807,
+    0x8010a40e, 0x4b9efe3e, 0x34c3b5b9, 0x633ce89f, 0xc76c667a, 0x23ae0571, 0xc43d2d41, 0x0794ffd2,
+    0x7d2a5860, 0x953f522c, 0x25a023fb, 0x99a8d674, 0x1246b579, 0x97290523, 0x207823bd, 0x597be120,
+    0x7628234d, 0xf8c0e6d7, 0x8bf02a65, 0x6cd11253, 0x2364be22, 0x6a8b9de5, 0xa7026f6c, 0xfd310a75,
+    0x12d5cea3, 0x9ef2cd33, 0x24b6b4f6, 0xb2af41a8, 0x8e59a968, 0x1898cd80, 0x4746aa4f, 0xf2486d06,
+    0x88922ae0, 0xb8fcf7d6, 0x57c39b20, 0x677f8798, 0x68afdd18, 0x2317bf5b, 0x3346d1d0, 0x6e459bbd,
+    0x0493bd26, 0x7e61e353, 0xa418d85c, 0x1f184762, 0xd42c8612, 0x32326e3c, 0xe4c3dd39, 0x5fbcb94c,
+    0xfbd75e17, 0x81775b11, 0x3e4753cc, 0x17fed5d1, 0x65db1b66, 0x8f0345f6, 0xba576e7b, 0x832a4bf1,
+    0xa5d20321, 0x1ee47907, 0x85e6aca8, 0xccc0407a, 0x168457c9, 0x0721f16c, 0x74bca4a8, 0x3d9da320,
+    0xf14d32a1, 0xc7dc85d6, 0x26c5797d, 0x5d00e9b0, 0x5eabd994, 0x87f4116e, 0xdfde252e, 0x989e29a0,
+    0x85eafaa2, 0xd6b40648, 0xde063296, 0xb536e14b, 0x57ed4a35, 0xa4194690, 0x72390af5, 0xc94e07db,
+    0xe5f20834, 0x199c256c, 0xb67837c0, 0xbcd2addf, 0x332c992f, 0x1cd70282, 0x76e4c2ad, 0x15a1059b,
+    0xf4273fee, 0x3713a111, 0x94765236, 0x3326b5d4, 0x53300c51, 0x03e3a20d, 0x0c54627e, 0x3b9c8649,
+    0xc1c5f660, 0x15b48687, 0xc81f4652, 0xe8e12293, 0x57f18d50, 0xcd16fbcd, 0xe19183a4, 0x0b037449,
+    0x0f992b59, 0xcd100edc, 0x4d3d8bb3, 0x2d722146, 0x2cd56cc3, 0xebf37243, 0x6196d9f2, 0xb088ae0c,
+    0xe47e5153, 0x51356698, 0x80a18286, 0x3a4700cc, 0x466754d6, 0x217ea673, 0x0187edb6, 0x362648d7,
+    0x3a0f66f7, 0xb889a40b, 0xadfc5a3f, 0xaad4cb4a, 0xa4a9f40e, 0x787a7004, 0x2391753b, 0xf3a1514f,
+    0x13b875b4, 0xb71bc760, 0x0a81f304, 0x1c0d1094, 0xc3a447e9, 0xf199e4ec, 0x4c898814, 0x95b877e0,
+    0x9c5b83f9, 0xf0c42910, 0xa268cbf5, 0x81afc8a7, 0x2fbea95b, 0x02636a3a, 0x33f55536, 0xea2d3a26,
+    0x6d26ba79, 0x66b33759, 0x5d7a91c6, 0xa8261a40, 0x38c62cab, 0x912ca7bf, 0x3a73b205, 0x5d52ee9c,
+    0x686f25e5, 0xbd100429, 0x1ce8f40e, 0xdb04c8ae, 0x06ad2341, 0xed6f8c8b, 0x171e1fd8, 0x875e23d6,
+    0x9348d015, 0xef774244, 0x3e112d31, 0xfd57e9b0, 0x3a6341a1, 0xf1047d8d, 0x88ba767c, 0x70ec752d,
+    0x1bc86b2f, 0x6ec72e2e, 0x6d914b3a, 0x4fcad9f6, 0x1909a791, 0xb2755183, 0x34904fe8, 0x28a8a1c9,
+    0xa14bfee9, 0x60c68d45, 0x3738cbf2, 0xf5801d7b, 0x96f8f2fd, 0xfac87a2b, 0x9acf6925, 0x5156535a,
+    0x50fe0e38, 0x1186725f, 0xd36b0d05, 0x196fbfeb, 0x2ac7c681, 0x7f83ccfe, 0x289fcb48, 0x2f3d3265,
+    0x3bf00e57, 0x0992bd5f, 0x077e9818, 0xc9b0f7f7, 0x94b9078e, 0x08ace9cb, 0x847ce6f5, 0x3fcbdbc3,
+    0x8adb5b0b, 0xb9d42ef2, 0xc4fb1192, 0xe96e8824, 0x86968ad4, 0x4ac6fbb9, 0x2ced5f6f, 0x527523a5,
+    0xffd72a69, 0x59cafb91, 0xa29cce9b, 0xef0695fb, 0xbe28d52a, 0xd3ebb105, 0x7828d7bd, 0x208d02d2,
+    0x51fd922a, 0x96bd0f13, 0x5dc527a6, 0xad37f320, 0x91311115, 0x14290d4c, 0xea4a80c9, 0x3d0f7970,
+    0xac25975b, 0x0a477203, 0x3b78b7d7, 0x63087528, 0x9b63c778, 0xa2421f8b, 0x2d944c8a, 0xb7c508a1,
+    0xad68a7bc, 0x4d2c331f, 0xa840adab, 0xc111615a, 0x0f90e87e, 0x69c535c0, 0xb9afeed3, 0xf5563420,
+    0xfd4e6e68, 0x089fbe75, 0x0e405a29, 0xf4133f31, 0x028d877c, 0x875177af, 0x6f38e589, 0x2b5a08a0,
+    0xaa452c31, 0xaac21950, 0x11767705, 0x1d898f1d, 0x07fb7dd5, 0x016a5a3a, 0x7dc294ee, 0x1884a201,
+    0x21f2fa68, 0xe5e86f78, 0x0452bab1, 0x44cec9fa, 0x925b839e, 0xdaee52c9, 0x94e93ec2, 0xdead4329,
+    0x0cf4d072, 0xd92c756e, 0x089d759f, 0x285ac02b, 0xe8c42ba5, 0xe7e3b7c8, 0x61ec3d01, 0x5e3d0b09,
+    0x2c5cc4ff, 0xd6ca7622, 0x2997ac93, 0x014e3fab, 0x44e2d72b, 0xc481847b, 0xaf8a49df, 0x9e42d87e,
+    0xfe3ca7b5, 0x14fe8442, 0x71c5aafb, 0x7744506d, 0xce850abf, 0x7092e1f9, 0xa74ed348, 0xd2f3336e,
+    0x44a08c19, 0x904ef863, 0x8233faf5, 0x4fc6e56f, 0xd186f8cc, 0x28c4b69d, 0xd8ee8307, 0x782ba3e5,
+    0x5ec4f404, 0xa3f1271c, 0x333fa7a9, 0x5cf75445, 0xf219477f, 0x67a6fe11, 0x6e29c24e, 0x6062b1dd,
+    0xcdc56033, 0x9ccdb061, 0x251c0b4e, 0x13cdb1c9, 0xd9f897ec, 0xa2374547, 0xd02f2756, 0x5726d8f4,
+    0xa02924f8, 0xe482254e, 0xf2b7f4b0, 0x1aefb5c2, 0x2bfea087, 0x5cf20fb8, 0x6412c8b9, 0x6d3b6346,
+    0x8f3d68b4, 0xc11a333b, 0x7c19efee, 0x65dea907, 0xeee6bcb7, 0x5a0493bd, 0x582088be, 0x3596356b,
+    0x3cebec4c, 0x66a30408, 0x4283c5b4, 0xd539cf50, 0x7cc0f55d, 0x29ec2d17, 0xde023591, 0xeccc1a46,
+    0xf42c5047, 0x9d7c3eb1, 0xe7558237, 0x960bbfbd, 0x8d407561, 0x6277d508, 0xbe608410, 0xa40ae2e2,
+    0x43be03c3, 0xe5b2141d, 0x70d44f5e, 0xcc0c2269, 0xc2537877, 0xc2eaf353, 0x0e22aad4, 0x5c0b073b,
+    0x5e433e03, 0x496bd27c, 0x19c9b916, 0xb0329986, 0x5e6193fe, 0xc942fa07, 0xf94ea970, 0xa9dd53d5,
+    0x805639c2, 0x91f43f49, 0x4716cabb, 0x372a0579, 0x1490642b, 0x1eae25dd, 0x224960e2, 0x97818773,
+    0x3fd05e1c, 0xc9d17ed1, 0xec660b03, 0xf4f93e62, 0x273130d2, 0x575d9480, 0xb48d0f41, 0x5648fece,
+    0x4363d7a5, 0xa59a59af, 0x688dd730, 0x81965711, 0xd771c8a7, 0xfb607e8a, 0x9135844f, 0xf59ca026,
+    0x853cee26, 0xb19aaffe, 0xcc14f1cd, 0xad75591f, 0xf26f3198, 0x69608fb1, 0xef6dc18f, 0x70cc3802,
+    0xc3f69dd5, 0x63a4fbe7, 0xbced7d8e, 0x82fc321a, 0xe25ba629, 0xab6a7f1c, 0x0a7dc2fb, 0x03c507a0,
+    0x10729263, 0x64d38eb9, 0xa9c8aa77, 0xb5d4646e, 0xfc6ed2e7, 0xd85caba9, 0x1d4dff7c, 0x4723d258,
+    0x1ee68f95, 0xe57aab0d, 0x7d9710c3, 0x1c435632, 0x054fc7b4, 0x3f5f3c05, 0xff6bc1d3, 0x17706365,
+    0xbf3f610e, 0x36ddb5b4, 0x26c95310, 0x5a413427, 0x4b131288, 0xe88c0541, 0x07659280, 0xb4db2813,
+    0x78b26d8a, 0xbd4b85a2, 0xf5bc2bcb, 0x79531a27, 0xfd7966a3, 0xc5b0f6fc, 0x7941e567, 0x6e790632,
+    0x5a432624, 0x6bb6526f, 0x3fbd31df, 0x1b14ccff, 0x3d3101d0, 0x39becc1a, 0xf5548587, 0x21f55e61,
+    0x15ff984e, 0x8c27d45a, 0x3a23ccd5, 0xcea94cd4, 0xd325e728, 0x7795f003, 0x0e763674, 0x6443f45d,
+    0x5f1121cb, 0xc67f5588, 0x97152224, 0x91188323, 0xa23b7a96, 0x0eb13644, 0x35d1e007, 0x190ebd04,
+    0x05955bf4, 0x134c349d, 0x7badee10, 0x69c71c26, 0xc3e86ad0, 0x5a5cc89c, 0x9c7a6e85, 0x423e7876,
+    0xa001dabe, 0x686df83f, 0xd009dd9c, 0xc14ec6cb, 0x8d8d7a7a, 0x006845c2, 0xc782e48c, 0xad5a4559,
+    0x3ca82a11, 0x7833baf8, 0xf149a18e, 0x54706bae, 0x4fced501, 0x9f2a00f6, 0x1842e4c6, 0xa03ff60d,
+    0x66e841b9, 0x03a414f1, 0x9b8be53c, 0x52eb8dc2, 0x1bbb9cbf, 0x8d12ecd1, 0xc737c900, 0x743d409b,
+    0x1571d111, 0x0882574c, 0x5e4a9cb7, 0x8ccfd8f8, 0x9f9e0468, 0xfe0a2591, 0xe211719e, 0x59d452d5,
+    0xfc12adb5, 0x90817f03, 0xb30ec816, 0x6edd058f, 0xa7e929ca, 0x3d03cdd9, 0x41e4851f, 0x534b7f29,
+    0x3d405086, 0x2641d4d5, 0x7d9c2691, 0x54309c74, 0xa247d64e, 0x71344d71, 0xd2e65ded, 0x8dee3db8,
+    0x341184a1, 0x175f53c0, 0x717ca9af, 0xde274b44, 0x70ec8da0, 0x52f69275, 0x6ae6e75b, 0x0ee5a30f,
+    0xd778a8d8, 0x66768ad2, 0x6b889d70, 0xc227633c, 0x88d903d8, 0x88525313, 0x71ad2d8e, 0xea6fe550,
+    0x2353f816, 0xbd6faffc, 0xd75dfc99, 0xe3ddf75e, 0xb055d17b, 0xa30bbb7b, 0xa020b273, 0x033c1a73,
+    0x43396848, 0x4ae90bb0, 0xe85aabe8, 0x16f8aa24, 0x0ec82531, 0x8fd1d8e2, 0xb249fb74, 0x8ce3ab1d,
+    0x9d18a04e, 0xa829301f, 0x9027328a, 0x8616c489, 0x62a1d4c2, 0x6ad41d7c, 0xd5707e1f, 0x7df860c1,
+    0x10af2b7b, 0xc8c8044a, 0x40284a4e, 0x964e4db1, 0xc76114f3, 0x6714b0a9, 0x669eed8c, 0x5deb5b52,
+    0x6e57073c, 0x6dd6661a, 0xc3ffbb30, 0x31ead12d, 0xce0f9f0d, 0x3dee95d5, 0xd9104cdf, 0x87a71297,
+    0xb4677f38, 0xc4e61528, 0x32646410, 0xe0e4d1c5, 0xabfbe7b7, 0xabdae857, 0x8e2ae59c, 0x44672797,
+    0x22d5521c, 0xb0d90f42, 0x2ca9aaf6, 0x728a0d06, 0x7ec5f061, 0x542bf842, 0x13753ff4, 0x801e8232,
+    0x68c29562, 0xc01474c0, 0x73da1bf7, 0xbaeac3eb, 0xc740e55d, 0xda2cd895, 0xf2a2f6da, 0xed718694,
+    0x72cf7b60, 0x36978c69, 0x846c8c6d, 0x99742ddf, 0x34ff8bac, 0xe9c83294, 0xe85ec2e7, 0x144445c8,
+    0x0b3461ba, 0x14e98d61, 0x026c858e, 0x287f0f72, 0x1e0bbc3c, 0x2b7e722a, 0x88767c5f, 0xc5934b31,
+    0x096234a2, 0xf557af98, 0xff8e90ad, 0xf8f8630c, 0x9a9d39e0, 0xbfb030ea, 0x41678853, 0xaa31aa55,
+    0xaf450dca, 0x2a0a94dc, 0x95cd66de, 0x2ad02868, 0xa34e8ced, 0x9284c80d, 0x6da6b20b, 0xf12c20be,
+    0xfdbc7856, 0x15839976, 0x3254acca, 0xed6b0aa6, 0xe99f1225, 0x84d28aa3, 0x4d11de19, 0x64c751d4,
+    0x9b22d5de, 0xb6b8ad4e, 0x72b56f35, 0x9ad03f18, 0x0bd0fada, 0x9b554125, 0x5509c7f6, 0xa632191a,
+    0xa0c739a6, 0x0b0e3a88, 0x50314d2a, 0x4e1fb4c6, 0x7d89248b, 0x5815fd5e, 0x9257d795, 0x54f84e2b,
+    0x637e0484, 0x8072229f, 0x8480b9f5, 0xb5e4d4a4, 0xe64052c8, 0xed68fb4b, 0xa4c1deae, 0x994adc22,
+    0x3ca28c3e, 0xe8f26b04, 0x3d7bc329, 0x25352b9a, 0x62fd6d13, 0xd97e8dcb, 0xfedec5d1, 0x40c6254d,
+    0x2d3e625c, 0x7c0812bc, 0x9b5efc52, 0x2e444163, 0xf40081a9, 0xc3c70f99, 0x3579af0f, 0xe94dc2ad,
+    0x2cac0000, 0xa10c9d48, 0x594946c2, 0x283fb03c, 0x4f5d6160, 0x511cf295, 0xdbc26e7b, 0x4dba6383,
+    0x43aae96e, 0x35d68318, 0x825826ef, 0xb2af15e5, 0x81da47ff, 0xf6c24ff1, 0x0c17cbfc, 0xae43cc6f,
+    0xdd7f149d, 0x3931878c, 0x885b66e5, 0x83451b72, 0xcbb959c4, 0x8ce2bd2f, 0xb590208f, 0xb7bc3d22,
+    0x2cdaf93c, 0x1e0332ca, 0x3f1181b6, 0xd219f95d, 0x5f52cd2a, 0xa067f915, 0xa7653d87, 0xd2bed0bc,
+    0xea02028e, 0xcac38583, 0x7e4aa58d, 0x3d15a6db, 0xb3b9c737, 0x620d539e, 0x990acc55, 0x8808d3e3,
+    0x9cd4ea25, 0x102f5300, 0x24427bdc, 0xd5effce7, 0x9804d2da, 0x12f78177, 0xf7e65301, 0x582db2c3,
+    0x6103bcf2, 0x0792c971, 0x90615723, 0x5f0e52b2, 0xbd88e46c, 0x039944cf, 0x63691428, 0x765db150,
+    0x9f0e660f, 0x439d916c, 0xe795fbd1, 0x28a5368a, 0x1a59cfed, 0xaa49a1a5, 0x8b484536, 0x358eeade,
+    0x16bd72f5, 0xb6a934f0, 0x8f90cd18, 0xe2b48832, 0xaab8d05f, 0x22127456, 0x797ffd99, 0x9f06f6e2,
+    0x7dde6ce5, 0xede474dd, 0xd85e3b5f, 0x0d85813c, 0x902355d0, 0xde38501a, 0x03f86855, 0x8d43fd3a,
+    0xacbd1082, 0x58d37a44, 0x17b284ed, 0xbd636c87, 0xf1721af5, 0xeafe5475, 0xa1eef4be, 0xebecffc8,
+    0x40463245, 0xd6a8364c, 0xb568c967, 0xf157aa47, 0x22ec592a, 0xcedba65d, 0xabd13bf9, 0x9debbd83,
+    0x146a9fe9, 0x4bbc4478, 0x8f32d7fd, 0xa9cadd96, 0x97e590fe, 0xa3cd049c, 0xe1759312, 0x987183f2,
+    0xe36f985d, 0x2496a70a, 0x0b3e1a5d, 0x8a3a6de3, 0x16a76043, 0x038185e1, 0x8e499cca, 0x11dd1f1b,
+    0x6e5c60e3, 0xaff389da, 0x3e82bd88, 0x2312c411, 0x6424fda8, 0x21ef1218, 0x669e4afd, 0x77c9e890,
+    0x0bd38ec3, 0x92ebabd7, 0xc6befe5a, 0xaf80c040, 0x8c928f9a, 0x7cf817e2, 0x10875dfa, 0x62f0f99e,
+    0x57e6020c, 0x1ceb1e8f, 0x281bd5ee, 0x18ab9d41, 0xd6eaed52, 0x6bd4ea9c, 0x5edaf4fb, 0x80a279fe,
+    0x00000000,
+    0x5346b565, 0x794236ff, 0x8a5e853d, 0x3b682a93, 0x455c18b8, 0x335e042c, 0xa30f4c5f, 0xc92a6fef,
+    0x098a562d, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000058147097943648551243945904631040362748291308854985444822519\
+                          21593445114304907183386609528405710108524486100172850129423468276813028917248 */
+  { 0x00000000,
+    0xedf15585, 0x4e680e90, 0x3bc151af, 0xe0912088, 0xf7cccbba, 0x72ad6965, 0x4d3359a8, 0xe9900d0d,
+    0x6b9eeab6, 0xbc367216, 0x2678e023, 0x65d20586, 0x9b626cbf, 0x759d7280, 0xba5f5c6e, 0x8a3d4bb2,
+    0x6fcb194d, 0x3876f81d, 0x14439435, 0x57f3b770, 0xc304b7a8, 0xddf4c1f0, 0xfcd648d5, 0xf586f524,
+    0x3c3e6c93, 0x6b52281c, 0x182f03e5, 0xf5edf790, 0xdad51d99, 0x29477b14, 0x3c880b81, 0xcaec4e8f,
+    0xfca040b0, 0xa9b73342, 0x93bba652, 0x98c68267, 0x92417b41, 0x7f0dbe0a, 0x4c3d2057, 0x2d4de3bf,
+    0x0e7dda17, 0x25abcab9, 0xc4ebc85d, 0xc844fe39, 0x1638fa73, 0xec8e8bc8, 0x2f3b7a68, 0xdd8c2ee6,
+    0x364e2d6a, 0x363d8670, 0x10228d58, 0x699baa2f, 0xbda295ee, 0xfee80949, 0x2c2869ae, 0xc947a9bb,
+    0xf927d9af, 0x0f2415bb, 0x19e0cba1, 0x973a9297, 0x4a692d5b, 0xb32494b4, 0xbc4575bf, 0x7bda9af9,
+    0x1bfefd5d, 0xc6a14448, 0xd60668cd, 0xaae24599, 0xb6133c96, 0x964fd93a, 0x12e40c64, 0xc7564774,
+    0xe0df5048, 0x1355a307, 0x73b84268, 0xcecd459a, 0x02da90dd, 0xc46397ff, 0xe537910f, 0x7f7b0864,
+    0x4f2a640b, 0x0de56e0d, 0xae91778a, 0x01379393, 0xba932ae7, 0xe3889ae1, 0xdeed8f11, 0xc83603a4,
+    0xda7fe2f4, 0x1aa70c7b, 0x89d3169c, 0x05a5324b, 0xd7a87f90, 0x64a28ebb, 0x24848884, 0xb243ae49,
+    0xa8650b48, 0x4345b2dc, 0xce89191a, 0x9a1dafe9, 0xf1c51f75, 0x9c74d07f, 0x7263adfc, 0xb03e12b7,
+    0x971cb260, 0x7cd78193, 0x18cb0b43, 0x602c256a, 0x1486e50d, 0xdf761088, 0xde5fdb0c, 0xd08ad756,
+    0xae50540b, 0x5e87e679, 0x70ec9cab, 0x1d14d055, 0x61df1ad7, 0x30c9432c, 0x699b3152, 0x23b0122c,
+    0x72b297da, 0xb8a8f0b5, 0xdd4aee0f, 0xa17e2b97, 0x7093c034, 0x7f4961e5, 0x0b3d8bb4, 0x6be73ec3,
+    0xe3a73e81, 0x0a060712, 0xe6add98d, 0x87e056ea, 0xe083da6e, 0x9f3c20b2, 0x66457c63, 0x73c4eb19,
+    0x350bdd60, 0x4687ddaf, 0x7ab84d17, 0xf528362a, 0xa5a38361, 0x8ba8c015, 0xea2b327e, 0xdf08fd9e,
+    0xf11358ec, 0xae806508, 0xcea1f596, 0x2ff2f84b, 0xb90c3517, 0x54b29cb0, 0x6d4d877f, 0x589b8d5e,
+    0xf8b5debb, 0x5b817522, 0x418d3114, 0x7f9c7f2f, 0x19f5c507, 0x834d2d03, 0xa2b51290, 0xe2bf0ede,
+    0x147e88a4, 0xff19da2d, 0x09a64e8d, 0x36e9bdff, 0xef0de1d2, 0x06726f1d, 0x06e96430, 0xe84b41d1,
+    0x7a7769d5, 0x56797035, 0x522fd9bf, 0xb3a9e68c, 0xa608cd3d, 0xcb125341, 0xc49597c9, 0x466c06e8,
+    0x41ebc569, 0xafdfe31b, 0x4badab35, 0xa34ad71b, 0x55bc957e, 0xe6e446ec, 0x7c480fd4, 0x2989e4d8,
+    0xf1ebb69e, 0xbd59926d, 0xd42ac9aa, 0x0ef8cca9, 0x9b8c92dc, 0x0ed7e1a8, 0x5777638c, 0xdc5763e9,
+    0x23766f6e, 0xcde050b3, 0x602c3977, 0xd2f564ec, 0x5649daba, 0xede2dfff, 0x6a68074d, 0xd9f64088,
+    0x6eb42a71, 0x167be72d, 0xd1a19610, 0x3269ca5b, 0x02e6830a, 0x79855c61, 0x6849f622, 0x38d4ec4c,
+    0x5d0c7358, 0xc8e6daa4, 0xffceea9a, 0x96cd75ee, 0x0fb1932c, 0x89a1f9dd, 0x474087b5, 0xb8b35835,
+    0xd11595c1, 0xfc35f085, 0x423a666c, 0x897fbae2, 0x420b2734, 0xa0278e77, 0x61713ab2, 0x34f07ddd,
+    0x08cd004e, 0x07c9f9e5, 0x38d89c90, 0x2e3eae10, 0xe946dac2, 0x3f96e453, 0xb4513a47, 0xa6d2e6fd,
+    0x0d330975, 0x82e291e8, 0xe2c24ef8, 0x35ff31c7, 0xf3bd56ad, 0xcac40a2b, 0xd4c72dc8, 0xf08accc7,
+    0x3cab790c, 0x59f1fc97, 0x92a65877, 0xaba631ae, 0x7aa9a0ee, 0xa1b5c84b, 0x5fb29404, 0x7ce1ac27,
+    0x6c588b24, 0xae6ab7c1, 0xd8b46068, 0x5d62e0e4, 0xe2be4171, 0xedf369b8, 0x9f016897, 0x34b30c79,
+    0xeac40e9d, 0xd2f813f5, 0x619d84f5, 0x8f237e67, 0xd6a2809d, 0xead87eb2, 0x5e3f6e50, 0x4f43c281,
+    0xca56543a, 0x32608270, 0xd5d95539, 0xcdd88d21, 0x8f4ccc46, 0xf4b55197, 0x26ac7a99, 0x5c19945c,
+    0x2d13699e, 0xc5e69f5c, 0x6b2f55cb, 0x3fe88dd6, 0xccad121e, 0x45f6c523, 0x66a5d6be, 0x5f0502f8,
+    0x0aa2bbc2, 0x6dfde258, 0x01120b48, 0x442add00, 0xfe42529c, 0x9667f097, 0xf57557dd, 0xc2013f54,
+    0x579dd5b5, 0x6fa4690d, 0x7ae0f71e, 0xceaa6f7a, 0x613ff453, 0x67c03f29, 0x3ac71313, 0x32c73d44,
+    0x55ba2e51, 0x9589e405, 0x0c86880b, 0x32971b9d, 0x867d9d08, 0x4eae6b11, 0xa8ab55dd, 0x1c42e527,
+    0x9166eddc, 0x98ce92de, 0x357c7773, 0x403985c4, 0x74dde805, 0xfed226bc, 0xbe25bbc8, 0x93eda7d9,
+    0x5373cb5b, 0xd26ccd92, 0x21d5fb49, 0x991035f2, 0x56451c4a, 0x18a7283e, 0x4ccba7fd, 0x6abe6398,
+    0xd1db24f5, 0x64aaab02, 0x2f74e435, 0xb12e26e0, 0x9cca7e5e, 0xaea5efd3, 0xc7bac010, 0x1d5c25bf,
+    0x1f485fdd, 0x3d071511, 0x6c20fc0a, 0x5b99f197, 0x99a27b60, 0x64b12a95, 0x72bcc2e4, 0x0bdf4956,
+    0x6ff20a16, 0x207b2eae, 0xf41e0008, 0x49731ac0, 0x52a1b216, 0xe6ed30cc, 0x8554104a, 0x9f02baf9,
+    0xc887a606, 0x9af0d787, 0x595dd3e7, 0xfd574889, 0xda8f5ff8, 0xdc4dc99c, 0xfc38a346, 0x96b07010,
+    0x931a21f0, 0x95f2c2e1, 0xa0342e04, 0x3e192bcb, 0x79ef1b3e, 0x0f3d6c3b, 0x3c054a60, 0x435e099e,
+    0x13149d89, 0xe2139dbe, 0xa467f239, 0x8c22dc91, 0x6d260c1f, 0xa759f931, 0x6ee300c8, 0x0f8bf9b6,
+    0x1a47bb4d, 0xbc676342, 0xffee82a6, 0x81c5db03, 0xce9e8106, 0x1e6759b3, 0x90801605, 0x6e79642a,
+    0xe6050576, 0xe6b13303, 0x9fb7b2c7, 0xb1f96233, 0x364a719d, 0x0fa7638b, 0x46e0dd1e, 0xca49b18f,
+    0xff20666b, 0xd714a370, 0xabc9e4ed, 0xab794380, 0xe7f43c56, 0xf15f714d, 0xafa3519d, 0x6191081e,
+    0x75c0337e, 0x817f98ad, 0x10c06c18, 0xad398fba, 0x849e3f04, 0x33771ecf, 0xe0d0f03d, 0xe3f3cc67,
+    0xee25a6f7, 0x66bd711d, 0x197c6b79, 0xe3585f0d, 0x4c6d8e70, 0x6111dc11, 0x5de76228, 0xdd423e80,
+    0x12d4222d, 0xb7149b3f, 0x2856a97b, 0x9b658d9f, 0xa49b9e2f, 0xac298994, 0x8ad9e915, 0x76b5ccee,
+    0x370a319e, 0x3213635b, 0xb2b2966b, 0xcdd5c6e8, 0x19092ba8, 0xccf489ae, 0xce197591, 0x62eedabe,
+    0x6d76ab63, 0x9e5024f4, 0xf4f0e873, 0xb4ea4895, 0xb6f57519, 0x9592a28c, 0x9df814a9, 0x3b1d3003,
+    0x279cfe3c, 0xa01756d5, 0x5c529177, 0xbcd8eb9c, 0x3fc9ed0f, 0x9e6fc64f, 0xee9b03d2, 0xe75c9eda,
+    0x37231ce9, 0x7522cedc, 0xb5123d60, 0x0657b820, 0xdf4c3e9d, 0x43c77eaa, 0x71d5e1b4, 0xf6c7a7be,
+    0xeab7d471, 0xaf7577cd, 0xc2d5bc2c, 0x5750b046, 0x464a26e3, 0x7fe072bf, 0x4825c5ca, 0xc566e3a7,
+    0x885c15f8, 0xd3d016f7, 0xefe40f7f, 0xfac81679, 0x25c7334e, 0xb46b1faf, 0xb5a1dbb7, 0xb4704059,
+    0xc31199f0, 0x575cbb1a, 0x2a84ad02, 0x333b8576, 0xf9ad3e96, 0xc81fce55, 0xd21a2dc0, 0x3b18c2b4,
+    0xde47ad20, 0x443a7ca0, 0x4447e909, 0x1da70026, 0x3c160abe, 0xfe4f12b1, 0x42cc26be, 0xea734545,
+    0xaf282e57, 0x96642ad6, 0x9582d539, 0x28c334f7, 0x6b8b0549, 0x467527f9, 0xa17b3faf, 0x871233aa,
+    0x17e0eacf, 0xa09ccb1e, 0xeb37dddc, 0xc4f616aa, 0x47cd05f6, 0x148448ae, 0x06fb6f51, 0xea9671c9,
+    0x3a88c72a, 0xb3436d49, 0xdb934ddb, 0xf77f13fa, 0xabc6e432, 0x0b7ac1b2, 0x48b39f0f, 0xee4fab62,
+    0x04abe0fb, 0x848fb090, 0x464f6aaa, 0x2d78efef, 0x2bd2fbef, 0x0d57c41e, 0xc18021d7, 0x97e39e80,
+    0xae13b5a0, 0x99718ba0, 0x3d01c54e, 0x06700e2a, 0xf3dd783e, 0x51c1a8ad, 0xe02524cd, 0x8e9836f8,
+    0xce2dc095, 0x422368ce, 0x571bd473, 0x599a898b, 0xfacf0a5e, 0xe62e4596, 0x0e9abdba, 0xcb5f0eb2,
+    0xb1891d73, 0xa4cb8cae, 0xbbfb167a, 0xef2d9b93, 0x69cd1d18, 0x5b094b97, 0x7dff9921, 0xe4652b25,
+    0x33af6c9e, 0xa0453d0e, 0x09642ae0, 0x5f95d92e, 0x90eefa6c, 0x3434e610, 0xaf7118e1, 0xee28a931,
+    0x03afa77b, 0xf700f049, 0x5ce35566, 0x719b712b, 0x1c7fa6e7, 0x588bde70, 0x34315452, 0xfdcfd772,
+    0x7ef3e757, 0xfeb867c0, 0xdbea9de9, 0x2b631415, 0xd84dbb56, 0x555128f6, 0xf32b70b1, 0xd83056f3,
+    0x3cd8c614, 0x71cb6f30, 0x0f2a6d67, 0xade825c0, 0xbd09ea12, 0x8c6188b0, 0x0dfdd77c, 0xc66c975c,
+    0xf4eaaa7a, 0x9a0f137d, 0xf8399a1b, 0x42133f09, 0x4d6550a1, 0x3cb17209, 0xa9d4764f, 0xff029bc8,
+    0x97aa38a7, 0x79145e1a, 0x8630911d, 0xf916d996, 0xd16f5d52, 0x5ac4219c, 0x71a32b05, 0x73b1c130,
+    0x96c99703, 0xab121c40, 0x2b9a235a, 0x7ce9010a, 0xa237e8c5, 0x6b9be64b, 0x415dbdc7, 0xf7b7a858,
+    0xd992dd9a, 0x546e16e3, 0x689974be, 0x9e547d1e, 0x16e6b052, 0x77e7817a, 0xf5dbe4ca, 0xb8b7de07,
+    0xbd9f69d2, 0x2fd767b1, 0xb37bb6f4, 0x0c8c8614, 0xc7063972, 0xe7788b93, 0xbbbbc3cf, 0x7e830ca1,
+    0xdf1db654, 0x6f67adfb, 0xbb1d0b5e, 0xbec2b079, 0x161994bc, 0x42520153, 0x94665f92, 0x37ee6118,
+    0xe3287270, 0x50bbe9da, 0xda1e7d87, 0x397bc8a1, 0xbda15a6c, 0x46d17163, 0xde615fa7, 0x9a5bb760,
+    0x2142aeb3, 0x38348655, 0x046deb37, 0x82455b40, 0xa6150ff5, 0x6cf21dc5, 0x46494294, 0x7e97799a,
+    0xeb5a0297, 0x0da91a3c, 0x26f73653, 0x22401d37, 0x787002ad, 0xd6b175fb, 0x30714dd1, 0xfe175a8f,
+    0xeb37d2b7, 0x1138a14e, 0xda682a12, 0x295e688f, 0x03bac965, 0x6fed1098, 0xca85eaf3, 0x715b911f,
+    0xdcb97b9d, 0x3a253a08, 0x18f75fe1, 0xef7b13a7, 0xa1d3ade9, 0xb70e92cc, 0xe8c7b79c, 0xa90ed4b2,
+    0x1886ff22, 0x9a6fb7d8, 0x8ee2e567, 0x7d5291b2, 0x264e5636, 0xb9d23517, 0xef6339fd, 0x0140508d,
+    0xa455a372, 0x8fe290f9, 0xf4398ae7, 0xa3fd7309, 0x8ee88c89, 0x1b3d5b4d, 0x8aba0b2b, 0xcdcdd401,
+    0x88503059, 0x1f7206d0, 0x684a3e13, 0xfe7c9415, 0xca49f63b, 0x0d543a45, 0xb5ac4264, 0xcd1ebc35,
+    0x93a0cd18, 0x94a57ab0, 0x44be2fb0, 0x029e4bf3, 0xb5be054c, 0x60523c11, 0xcc789bfc, 0x5da34465,
+    0x5c11afa2, 0xc2cb9540, 0x2ec9fff8, 0x4306d3fc, 0x0fd90c59, 0x0cc62915, 0x9a7ae8b1, 0x9ae8b2f8,
+    0x06dae254, 0x0906e635, 0xbb30270c, 0xf32e4ac6, 0x62625ee0, 0x9a893117, 0xb5b474d4, 0xddb90801,
+    0x010a5ca8, 0xadfb93d1, 0xe617ea67, 0xcb03ccc8, 0x13baf720, 0xaf7fc9ef, 0xe9c1b213, 0x7db88b87,
+    0x67a3d57a, 0xb64fe213, 0x9cf92078, 0x46c537fc, 0xc39077e5, 0x0dfe3562, 0x0a79cbed, 0x98752d74,
+    0x312d7024, 0xa2770053, 0xbd48cad0, 0x7f50072d, 0x49d673d3, 0x8fbfe84f, 0x042ef6ba, 0xa42841fc,
+    0x5990d407, 0x18675b01, 0x7c3ab0a5, 0xcc5a41ed, 0x2f53a5f6, 0xcbd34d8a, 0x02a2ec86, 0x8c99887a,
+    0x2bac9f32, 0xa22e202e, 0x36905008, 0xda7aff71, 0xf7c23c9a, 0x71b08832, 0xe018f30b, 0xdd277312,
+    0x671d66d6, 0x15e30692, 0x706230f9, 0xe4558a99, 0x4e80af88, 0x2b23be82, 0xd1f8de9e, 0x132678f8,
+    0xcde348fc, 0x31fe0e1b, 0x606543a9, 0xe214cf2d, 0x3a437f81, 0x525b9567, 0x7a68bfe2, 0x6466c11e,
+    0x108d31ab, 0xb31beb85, 0xe325f2a4, 0xe0726054, 0x8628e8c4, 0x3ae3cb2b, 0x01980a11, 0xeda8c0e0,
+    0xad76ff31, 0x25693399, 0x52fe5713, 0xf4c06494, 0xb59412cc, 0x05fbca29, 0xbef2e203, 0xce33fa3b,
+    0x185403de, 0x90aa97a1, 0xdd7a8307, 0xe2927c0d, 0x72b2b398, 0xa7cca81a, 0xe6d7c75f, 0xb4aef1d7,
+    0xf111441f, 0x8860a108, 0xddd93747, 0xe3889577, 0x13fa8424, 0x159f666b, 0x518964e1, 0x439184e5,
+    0xea9fd71f, 0x9b169516, 0xa5952d95, 0x2316ef4d, 0x78f4273e, 0xc9d33b26, 0xea70ef97, 0xdfa4b229,
+    0xe2a41be2, 0xcd3ab642, 0x742e78d9, 0x669dde62, 0xf4cde9be, 0x1c1aec78, 0xf2190e80, 0x9b630693,
+    0x5bccd1c0, 0x1e2e9cfa, 0x66942f4c, 0x6fb9ddbc, 0x07260d00, 0x716cbeb7, 0x0f11b57c, 0x0e873ae7,
+    0xfc0abd7b, 0x9c336b85, 0x0d96db88, 0xf75928b1, 0x175f2530, 0xa908cf2c, 0x679189b3, 0xf5c7908a,
+    0xdf9d53a2, 0x32002523, 0x8dd5e874, 0x9b284b91, 0xa4b4fe27, 0xfab8d2f0, 0x55b68b35, 0xa15e71dc,
+    0x6543b2cd, 0x18d48f5a, 0xfcf7819f, 0xdfee82be, 0x52de019c, 0x9eb6300c, 0x709f178b, 0xb9c282a0,
+    0x04b604de, 0x04fc76a9, 0xab51ff83, 0xff8db31d, 0xf726e625, 0x1cbd1044, 0xd83d0b01, 0x4da9fb55,
+    0x0ba9883d, 0x5907e596, 0xad855dcf, 0x2cad20d9, 0xefb63f23, 0xe0ad9f33, 0x7c347c97, 0x0ea245fb,
+    0xeb491030, 0x55bdcb71, 0xcf665bda, 0x2562f307, 0x321e8634, 0xf439a836, 0xa8e5fbb5, 0x35234df1,
+    0x3f896da1, 0x415de4ab, 0x0f36a0f4, 0xaa031649, 0x084c7981, 0x321dcfa9, 0xe152a6c4, 0xfdf054e9,
+    0x4ef4eb5d, 0xbfe0a990, 0x2fbbbe01, 0x1ea56d44, 0x6c6a0888, 0x95ad5cf3, 0x3a55f318, 0x572f0ca9,
+    0x41fe5543, 0xaa616a1b, 0x814fd1f8, 0x98d9dc46, 0xcb0c9051, 0xd03a177b, 0xbd775ac4, 0xf9ca87d6,
+    0xfdd60d43, 0x37d06a39, 0x83c2a695, 0xc2f18a1c, 0x85ed27c7, 0x14b28148, 0xe8c1d03c, 0x5c6c8183,
+    0xa8bbd1c2, 0xa88cbe75, 0x9e0312e5, 0x1f181225, 0xf0e8f078, 0x19fc805a, 0xc4e9900e, 0x5fa12987,
+    0xfa40843d, 0x6afe32a3, 0x54ac2d25, 0x40b64025, 0x073b5909, 0xff6abbc8, 0x85f488cf, 0x8bf04cf9,
+    0xef6d865b, 0x5ebe847f, 0xfa5606cd, 0x3d986ddb, 0xb8bb5380, 0x741276fd, 0xf947112d, 0x6021a426,
+    0x2cf19de6, 0x5cc08e56, 0x0881984f, 0xe72fdc52, 0x9340a036, 0x0add4f49, 0xf5945c83, 0x6759fedd,
+    0xfdea99bb, 0x85f6d710, 0x5f0660f6, 0x148ac0d5, 0x297336ad, 0x80e0a691, 0xa3753e97, 0x01d7398b,
+    0x3145ed40, 0x5accab92, 0x01537fe7, 0x31b3bffd, 0x06ed261f, 0xeb80110a, 0xc8221c3c, 0x6da34ab4,
+    0x972744d3, 0x7f037e10, 0xf1802014, 0x9daba9fe, 0xd9c2a7e7, 0x6ec9e1d1, 0xf63d3b7b, 0x592eb31d,
+    0x8f01c6d4, 0x8c6cfe89, 0x2a6b908d, 0xc6178bd8, 0xc811a12d, 0x73668c62, 0xe8da1725, 0x44cb502e,
+    0x2546d187, 0x168229ff, 0x5943b66f, 0xe339a855, 0x11cb0906, 0x02a4ed69, 0x5847b24a, 0x092e6b00,
+    0x7c9d3a68, 0x99cf82a4, 0x2d42fa05, 0x3595bf04, 0x3301513d, 0x95ea9880, 0xcd13fc17, 0x30d115ce,
+    0xae5515ec, 0xfafc0762, 0xcde4c972, 0x7eb73d8e, 0xcee566e8, 0x29a386e7, 0x95f2f950, 0xd39c6405,
+    0x0a52b361, 0x6e978244, 0xc2a512c5, 0xf639f652, 0x9cc8c64b, 0x9a6e45a7, 0x9dd3d90e, 0xfe9b4823,
+    0x846f0f1a, 0xe7d90507, 0x9f212bc4, 0xc2cbdcb6, 0xf2f32d52, 0x2c913ad5, 0x87745c05, 0xa2dd85c6,
+    0x8ec20293, 0x13ff9fda, 0x541d8516, 0x243f104c, 0xb092b3a6, 0x794fa64b, 0xd71aa2a8, 0x80512347,
+    0x00000000,
+    0xa9a35ab2, 0xbca11b7f, 0xc52f429e, 0x1db41549, 0x22ae0c5c, 0x99af0216, 0xd187a62f, 0xe49537f7,
+    0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000029073548971824275621972952315520181374145654427492722411259\
+                          60796722557152453591693304764202855054262243050086425064711734138406514458624 */
+  { 0x00000000,
+    0xd113f938, 0xaa86b106, 0xd61ab3be, 0xac9492e1, 0x6e4abb60, 0xc17ee25b, 0x9186dd93, 0x13303fe4,
+    0xd689930a, 0x1267edfc, 0x698266a6, 0xafe51459, 0x191d021d, 0xe66cdfce, 0xbea5dd3f, 0x838a6c79,
+    0x600b5ff1, 0xd1f2bc75, 0x886ed25b, 0xde786207, 0xafb6d030, 0x473f780b, 0x80e22f21, 0xc3d28fd9,
+    0xd7f704cf, 0x1d55961e, 0x74f5836e, 0x853f1fb7, 0x637ff1bf, 0xab6d7a8f, 0xbb8f1822, 0xad8e1dee,
+    0x2219c07d, 0x97341529, 0x28eede9f, 0x70f47605, 0x3c0c4fff, 0x785a454f, 0x5f05eec7, 0x6b15f83c,
+    0x8799e298, 0x7006c577, 0xff226db2, 0x60e0a64e, 0x8e3e7b70, 0x5909db1e, 0xa42973d1, 0x485e0b33,
+    0x9da28d88, 0xd0ee69e5, 0xd46a3caa, 0x387fbc41, 0x8a3bdd2c, 0x36b1b8d8, 0x095802f5, 0x0527c78d,
+    0xf61b3a24, 0x57a378e4, 0x2a42ffac, 0x8cdef27a, 0x087cd73a, 0xda26c75f, 0x64843160, 0x41874c8a,
+    0x082d1a5b, 0xdb0a0da1, 0xebf647e5, 0x88723e63, 0xe7987f89, 0x1bbd7857, 0x40d0f829, 0x6c7f65e9,
+    0x8c3b17f1, 0x815d2660, 0x272e02b3, 0xb79c43da, 0xe74df48f, 0x858f0c6e, 0x3e7753c3, 0x6f684672,
+    0xaa424711, 0x07eba023, 0xba13352d, 0xfa2a5c73, 0x88bb2f94, 0x440d1698, 0xbc79f886, 0xf27ff314,
+    0x4f94dc41, 0xacb86369, 0xedfb9b0d, 0x28548bfd, 0x46d70388, 0xb19e1b11, 0x9192158c, 0x354a35fb,
+    0x7dd59c26, 0xd454eb9f, 0xfd07814e, 0x2ebc6705, 0xaff85eb5, 0x62d14a19, 0xff600299, 0x2ba1e70d,
+    0x807291c6, 0x1f1d352f, 0x17a68435, 0x9bef0bd4, 0xb38c15c8, 0x35d87a41, 0x9b90509d, 0x7137faed,
+    0x1cc80a75, 0xd593b8da, 0x27777bfe, 0x856eef8c, 0x9d097e8d, 0xd7d64975, 0x65995e68, 0x118c8aff,
+    0x46ed6433, 0xe028c3bd, 0x5b152241, 0x1175bb1d, 0x596fedc1, 0x211fba20, 0x64094e7a, 0x2ddfef56,
+    0xbb8aeae6, 0xa057ea0a, 0x6e069c7b, 0xa1cd6679, 0x6eb3d206, 0x8c03f177, 0x81c5b1f9, 0x00d08d0d,
+    0xb2284dea, 0x6f3e16c5, 0x88faea33, 0x897baf4d, 0x7029d4fd, 0xed58b2a3, 0x95cd6219, 0x5c7d2f24,
+    0xcdac9bae, 0x64c6f208, 0xaa2b1ed4, 0xa10413c2, 0x06d55467, 0x74de480d, 0xdbcc505d, 0x2d8f8c87,
+    0x0b64c65c, 0x318f3f67, 0xc65306ff, 0x84855137, 0xce98b446, 0x2259683b, 0xd8d180fd, 0xbab7372c,
+    0x23764999, 0x65892c03, 0xb0978daa, 0xf432c7e4, 0x4a91ee59, 0x0ad718c0, 0x635fe1e5, 0xd71cffc7,
+    0x47f02dd6, 0xf478f513, 0xdd681876, 0x33eb18dc, 0x84664d1e, 0xa9a6d605, 0x69ca879f, 0x0bb983bf,
+    0x104d6134, 0xb72e96ad, 0x568ff135, 0x1b08c5ac, 0x057057a2, 0x42deda9e, 0xd07c93e5, 0x1012130b,
+    0x81694b05, 0x62f8b91d, 0xa3342893, 0xcd2a72a1, 0xcfe59313, 0xc3941eae, 0xd539b189, 0x82ac68cc,
+    0x851caf0a, 0x7abd9eb3, 0x6843839d, 0xf38a8e2c, 0x1b30ae12, 0xcedebfd4, 0xa530658d, 0x1df3fa1c,
+    0xee037eb8, 0xb01681a3, 0x4654d355, 0xe73f19b2, 0x279615ee, 0xe67529cb, 0x5cf7bf33, 0xe9cea008,
+    0x2dc83de0, 0x3e11f0c2, 0x6ad74f5b, 0x60088c63, 0x7619778a, 0x8dccf10c, 0x65cbb8cd, 0xa968cfda,
+    0x04b05e70, 0xbce45903, 0xb494d8a9, 0xffabbe3a, 0x74e6c848, 0xe15410b3, 0xc8d9904b, 0x44fafb50,
+    0x681c7420, 0xba1b2b03, 0x9a680ffd, 0x017f3dca, 0xf589ecc0, 0x2aaf55c2, 0x1c900669, 0xd23dcd0a,
+    0x98518447, 0x67e67c2a, 0x3de16432, 0x8cfe3e09, 0x7b88c6ce, 0x8c5d9853, 0x07fcc0e9, 0xbe89bf70,
+    0xd9caae69, 0xb0eac42f, 0x61bb362a, 0xb09177bb, 0x8b329f0d, 0x40280d8c, 0xa0e4853b, 0x747d73e5,
+    0xab3cb7e2, 0x4432159c, 0x1e6f5952, 0x566d9149, 0x59828c77, 0x6c77a343, 0x2e4e5bb9, 0xf736a8ea,
+    0x369a2862, 0x901a5fc4, 0x66cc63e6, 0x0bbc1d85, 0x51dfbdea, 0xffe5caba, 0x0605447e, 0x77c52004,
+    0x626f50a9, 0xaa7b08ce, 0xf2cbe0d5, 0x8ffd452b, 0x9e3bd104, 0x8f0c538f, 0x2b261dbf, 0x6b4bb212,
+    0x483a8443, 0xaafef464, 0x754fafae, 0x166862a3, 0xaeef240c, 0x02d02491, 0x24164301, 0x507ae403,
+    0x587d267c, 0x35678b02, 0xcef615ee, 0x65e104b9, 0x3775c111, 0xede1e4a4, 0xa57ea950, 0xa4986e86,
+    0x71fa19fa, 0x2cfa3997, 0x3aebb0ec, 0x38d1a99c, 0x6a20b952, 0x564ab602, 0x4a3cd86c, 0xdee05208,
+    0xee860948, 0x695fa946, 0xee09b511, 0x4f5e708e, 0x5e219019, 0x2c6e743d, 0x46668017, 0xecbafc02,
+    0x42963887, 0x285532c1, 0x6650a160, 0x4da65bb1, 0xe8dd2bbf, 0xb81484d4, 0xf1de97a2, 0x206be459,
+    0x7ae82235, 0x136e52ca, 0x85972c1c, 0xf931c2a1, 0xd51bc46d, 0xb369cf19, 0xe5838fbb, 0x856afda7,
+    0x8f673ca8, 0x9db95140, 0x44c2e365, 0xefe38996, 0xf20f7f99, 0x09b2d8b1, 0xbddf30f4, 0xe5fb2a8f,
+    0xb6543b14, 0x781e2b30, 0x19f6f10e, 0xa853550d, 0xc1fcf0b3, 0x0dcabe5b, 0x18af1af8, 0xf377c7ea,
+    0x6f24b44a, 0x09c7828a, 0x0fced40c, 0x5c642a97, 0x2b83c8f5, 0xb65b6d35, 0x089161fe, 0xafd2b5b7,
+    0x545e1551, 0x665a7a08, 0x0b56c4c3, 0xeb45c0a0, 0xa96ac92d, 0x4d037bfe, 0x31a99b5c, 0x355299f0,
+    0x070399eb, 0x14ccf89e, 0x2ac1c765, 0x837d1ef2, 0xe3d4cb1b, 0x3100742c, 0xde85c623, 0xab50172c,
+    0x329fa527, 0x5cefba10, 0x8eaa530e, 0x3921748e, 0xb35b61f4, 0x923f7e3d, 0x7b96f995, 0x346467e1,
+    0xa7ee78eb, 0x38e18d66, 0xadbe033e, 0x6af34262, 0xb97432ef, 0xa90ac038, 0x83380ffa, 0xca29c0be,
+    0x897fe773, 0xaa0e0728, 0x2eab7c32, 0x5b5cf34d, 0x3d84f762, 0xa0b4bceb, 0x2600117e, 0xdd9774bf,
+    0xc3f6ebf3, 0x1b112b88, 0x5df4e620, 0xf151d4b6, 0x7a3ee914, 0x0ef6bdb9, 0xfaef4267, 0xa870eedb,
+    0xc4fbabee, 0xed548ac6, 0xeddc9f80, 0x0e2363d5, 0x059fb54f, 0x703a66b0, 0xe232a50c, 0x11436c89,
+    0x39c66c6c, 0xff8f8e0b, 0x7b36e8a6, 0xe084dfc7, 0xf594b92b, 0x1b4348e4, 0x11b4de41, 0xc578746c,
+    0x9ac29f53, 0x94727b5b, 0x027b8e50, 0x4901c1c8, 0xc63b91b7, 0xe90c5c71, 0xb68eda87, 0x75e3aa4b,
+    0x8583619a, 0xb38f42e4, 0x882d183e, 0xfbdaffef, 0xee8938f8, 0x951930cd, 0x898fbc0e, 0x0be39678,
+    0x20690b7f, 0x51f37eeb, 0x55d1ad96, 0xdd55c781, 0xe9c891da, 0xb4b9311a, 0x3195e9a1, 0xd7d2ec3c,
+    0x7d98b462, 0x18033d77, 0x44923879, 0x0c4222c2, 0x551d995a, 0x254a9c26, 0x6b099863, 0x3089c621,
+    0x12db4ce9, 0x6a6e9ad3, 0xd83a7912, 0xcf413271, 0xaf00c1c1, 0xe29f9143, 0x012997ea, 0xc82d519d,
+    0x9d3baa30, 0xfd36e6cd, 0xef994958, 0xf3fe737a, 0x30586da0, 0x9e71a2c4, 0x0a492534, 0x777ba76d,
+    0x55043a7d, 0x85398f18, 0x94241575, 0x72aee8da, 0x00c17794, 0x6ee4ede4, 0xcaf3daba, 0xccf50e93,
+    0xbdd5473d, 0xe1689a4c, 0x48ef1b04, 0xf68a3ac0, 0xd4ed0f70, 0x1aab9839, 0x458a27bc, 0x9729a646,
+    0xad859c06, 0x69d34f2d, 0x4a00b706, 0x85d03830, 0x4ed92d20, 0x210ca317, 0x3e9a44af, 0x8356fa24,
+    0x29ca5641, 0x32a6b50e, 0xb0556a08, 0x7bec9235, 0xced85ee1, 0x6a2360ba, 0x1ce191ea, 0xf0671aaf,
+    0xd8b66aa6, 0x7c3ada91, 0x3ae571e8, 0x3149c376, 0xd4133028, 0x927fca8c, 0xf785722a, 0x1eaaa230,
+    0x1d9d497d, 0x309184c0, 0xbebadebf, 0xaa74b4c6, 0xab49ca6e, 0x53469b53, 0x14823d90, 0xfef5a6b7,
+    0x1dd052aa, 0xe7df66b5, 0x3cbfc2d9, 0x0e8f33a7, 0x0449b698, 0x78e6887d, 0x9c56ec6e, 0x0d0c9bc3,
+    0x3b7e90c8, 0x8d7686b4, 0x766c6e5c, 0x3259e62b, 0x0743ed0c, 0xb0b98ee4, 0xf5456534, 0x764272b9,
+    0x1ce0623d, 0x03f9aa63, 0x5aa538f9, 0x4ec031b0, 0x7c3d5b23, 0xbe90cc27, 0x565e459e, 0xbfecb54a,
+    0x9a660ee0, 0xbbe91b6f, 0x1ddea32b, 0xe0a6f073, 0xb7df1d40, 0x954db0cd, 0x721e5f14, 0x5c0a96f2,
+    0xbbf5d7da, 0xde641b4c, 0x23fac76f, 0x75f05081, 0x05fc8c17, 0x43bcbf86, 0x6c5963b2, 0xb52bdcc6,
+    0xa30cc74a, 0xa97a736b, 0xd6b21950, 0xeb880af2, 0x79d66441, 0xf776e107, 0x2ed38ff6, 0xe1a7ec6d,
+    0x39f072d2, 0x20680f2f, 0xfd4347ce, 0x09f976fc, 0xce764d95, 0xb641a8b3, 0x1fdb0e2a, 0xfc69b08b,
+    0xb0d885e8, 0x57962791, 0x5c4b88a3, 0x2e4a5f2d, 0x0ffa5ea8, 0xb5de7fd7, 0x99c08b11, 0x0db24248,
+    0x5f9d3590, 0xbb3b8b35, 0xd276abbf, 0xca728c54, 0x63fbac85, 0xb606d1e9, 0x38ff0c2e, 0xe35c0b21,
+    0x606af862, 0xb7926136, 0xbd05433c, 0xf2c75f16, 0x45fd8cba, 0xa16a3ab0, 0x61098024, 0x55dbc2e5,
+    0x8cf9a2aa, 0x0b7b4e3f, 0xa9510206, 0x7e898b3d, 0x754786d9, 0x4de21c2a, 0xe5f36149, 0xe93c5786,
+    0x640a2b0a, 0xa589d92e, 0x35da2c5f, 0x7003742d, 0xb9ec1c81, 0x8def9809, 0x6c37fb20, 0xb6ecc5d7,
+    0x2d97e389, 0xe8dde0a1, 0x7320aa90, 0x35caedc6, 0xf605ac70, 0x751f3711, 0x244e1e36, 0x6fda1f45,
+    0x18061e7a, 0xacf0d492, 0x483f20c0, 0x6ee15721, 0xee56fd59, 0x3dc902ee, 0x05637ed6, 0x7ece9fcc,
+    0x46129a22, 0x4ef51ba8, 0x13cd3b77, 0x8e5b2c39, 0x01344d9d, 0xf6ee7dd6, 0xbea2097f, 0x94e8e176,
+    0xe21f5f4b, 0x372e24ee, 0xfbee7b83, 0xcc6d1c48, 0xbf374456, 0x8c3cdd8e, 0x17c619ab, 0x02efb58a,
+    0x9982c8c5, 0x6d9720e4, 0xf3b2ac9f, 0x10a5215a, 0x718ad9f2, 0x4cdd9f68, 0x1e331496, 0xf7624718,
+    0x6ac697ec, 0xc8f62eff, 0x07233f4a, 0x349da05d, 0xc9caa685, 0x7606c908, 0xab4dab99, 0x41fe1bee,
+    0xc0d1d022, 0xaa0f1514, 0x76c288d4, 0xad3d53a0, 0x5b27d6a0, 0x9ff8b217, 0x43738049, 0xbeadcde8,
+    0xfa6d380a, 0xe0cc40d3, 0x2c8b9c9c, 0x6e769ff8, 0x0756baac, 0x5029e0fe, 0x2d3ac83b, 0xe48a13be,
+    0x1ea9f9e4, 0xe2e4b1e9, 0x45ec639e, 0x22eb6764, 0x8fde9a33, 0x8c61a796, 0x526de816, 0x909d3cb1,
+    0x9379948e, 0x0ff12f7a, 0xb12d7830, 0xe03e193d, 0x4ad9877c, 0x623d3e26, 0xfd948b9a, 0x33abfc61,
+    0x4496f61b, 0xa728ebcf, 0x37e4fe89, 0x3b954625, 0xd4b4aa07, 0xd09d7c6f, 0x90995281, 0x8b93edbb,
+    0x6dde6442, 0xd4007a5d, 0x483dd720, 0xe129d98b, 0x5fe6525d, 0x9b0539f2, 0xe08a4717, 0x8732fe35,
+    0x61981862, 0xa37c30d3, 0x4cdeff5a, 0xdfa0f06d, 0x80099752, 0xc39e366c, 0x0d11f182, 0xdd466a20,
+    0x59917652, 0x5e9271af, 0xd9dc46e5, 0xa30062ed, 0x3192ef05, 0x89e9b4b9, 0x27dfb90f, 0x52711371,
+    0x49b380d1, 0x24d987f2, 0xa22ae59a, 0x2e66d87f, 0x94fb1c58, 0x1bf2b473, 0x9bdf075f, 0xd60d854e,
+    0x40fb5706, 0x7f4a3762, 0xfe9fcd71, 0x94fe2f5c, 0x816edd40, 0x19e203ef, 0x5b1631f5, 0x3660f816,
+    0x02aee544, 0x42791c1e, 0x679f1753, 0x11adc122, 0x6b236a69, 0x01fa6679, 0x65941277, 0x9583a40c,
+    0x3641a777, 0x28225829, 0xa8032c81, 0x4a463584, 0x9d9c8698, 0x18db240c, 0xaaa49cde, 0xbce67cca,
+    0x04ddeb6e, 0x68c62e3a, 0x8af95dee, 0xd2d810ef, 0xac8f988a, 0x28dd8ae8, 0xf803727e, 0xd8add95a,
+    0xd7a09034, 0x08195c78, 0xc421278d, 0xc52d41fa, 0xa137c1bc, 0xf4c4b48c, 0x6efaa090, 0xc4db10a4,
+    0x85bab37f, 0xb9fdba66, 0x613c3dac, 0x19d3f725, 0xd9aace92, 0x38152927, 0xcf51dcbd, 0x0e2620b1,
+    0x23dc16d0, 0xe4848159, 0x067be7d6, 0x85fd5f29, 0xa5830dd8, 0xaa839dd1, 0xbc514604, 0xfabb1fb3,
+    0xa2f4ef89, 0x918128fc, 0x47f29b9a, 0xde201b8b, 0x3586bb49, 0x368b3d8e, 0xfb1737cc, 0xe86511e2,
+    0x68c0750a, 0xd616b111, 0xd38c69b9, 0xe8f47100, 0x246fa81d, 0x92c81ae9, 0x28bc6e49, 0x94b02453,
+    0x35d10e1d, 0x970b9254, 0xf090b9ce, 0xf59d3d9b, 0x29926b10, 0xc5a141b9, 0xc5472e47, 0x088e91dd,
+    0xd43a5aa9, 0x57d7f716, 0x66e1cc8e, 0xf5dda76e, 0x5e68137a, 0x1a938b97, 0x3fb97905, 0xe2a7b6f1,
+    0x78013dec, 0x16acd169, 0x2c26f2f9, 0xe1cf2887, 0x2d9af4ff, 0x748cbf86, 0x52f96147, 0xc58a22b6,
+    0x0a084dc9, 0x5c9f7aa1, 0xc79e9b53, 0x92da6fdd, 0xbc9dc5f7, 0x633c460b, 0x91ab3a62, 0x7d9430b9,
+    0x2b3b8b4f, 0x2a2f05be, 0xe2ab5eb1, 0x7c304a36, 0x201ead6d, 0x52948dbc, 0xd736d3fa, 0x588a3b16,
+    0x297da925, 0x20bf359f, 0xf1b15bbe, 0xc84fa37b, 0x5db7d59a, 0x3b069633, 0x578e0d55, 0xe6b7ab74,
+    0x216ad1c3, 0x7b24e0b3, 0x1ad46384, 0x9294a781, 0x78fb7ce2, 0xba359922, 0xe60a3aab, 0x901937f7,
+    0x67df6d3f, 0xe79f88b8, 0xd8546180, 0x4b411b33, 0xd6b3d51c, 0xdc2f5356, 0x8d1fd730, 0x8331c083,
+    0x651bf6da, 0xc9f68315, 0x52c6ce83, 0x223f82b8, 0x6f6b694d, 0xc2eed7f9, 0x0966905b, 0x2d7a5e00,
+    0x042cf414, 0x22979b82, 0x5bff2f27, 0xdd061244, 0xd8f53791, 0xdfd3fb22, 0x6d236cc5, 0xb8868504,
+    0xb6494cd5, 0xc1d5f8a5, 0xeab53c48, 0x1ad77bca, 0x9a012ddd, 0x00f8a5e7, 0x09873259, 0x2154dace,
+    0xb45410ec, 0xb96e8fe1, 0xd9ba77f5, 0x249f3425, 0xaedbbbbb, 0x68768c5a, 0xb4cdf265, 0xdac4439f,
+    0x1dd48bb3, 0x6cf4bc3b, 0xee057caa, 0xefc170e7, 0x5c102aff, 0x011a2cea, 0x2fa1ea7b, 0x9b05d439,
+    0xba32b866, 0xa781e714, 0xf43b34dc, 0xd5e528e0, 0x36ebc3bc, 0x0370bb04, 0x64fbf998, 0x20584cc9,
+    0x5b0e561c, 0x5b65a78d, 0x1e08a3aa, 0x2b1f4d57, 0xe7991083, 0x002d32f6, 0x6c973672, 0x727ab079,
+    0x9a4a8b21, 0xcfe9ce54, 0x7326e643, 0x3adeadd8, 0xe8b3e55b, 0xd44dfc05, 0xf6976917, 0x92903ef1,
+    0xdf2ba699, 0xb716e8d7, 0x5a69b07b, 0xb8eb3815, 0x5eaa8f4e, 0x14ea303e, 0x2010b30d, 0xefc46a28,
+    0xae9b6739, 0x4c776ce7, 0x13787e70, 0x18e93466, 0x7cd2add1, 0x4748dc84, 0x625c9818, 0xdc582bf4,
+    0x05a86f88, 0xfd9a9627, 0x933b8bee, 0x0e8a7ca2, 0xaa7cc89b, 0x6816edb6, 0x9e9ad77c, 0x535df994,
+    0xd5525bfc, 0x147d7b4c, 0x042aa996, 0xb930bd57, 0x6228171b, 0x63c10658, 0xcfcd6042, 0xcb4f6494,
+    0x2acf5480, 0xb4deeb5f, 0x27ea1033, 0x4c3ee146, 0xb50caca7, 0x34a0fdc0, 0x6ab227e4, 0x25cf6ec7,
+    0x035aada9, 0x4181175d, 0xb0acfc41, 0x8da4b218, 0x61e60ef4, 0x8ae0e4fe, 0x2b1fe4d4, 0x0252a20b,
+    0x248c6181, 0x70ea09bd, 0xf5f201f4, 0x5c0ea70d, 0x38f80b42, 0xaddec6e7, 0x9b3ce3c4, 0x7bc69541,
+    0xaa055cbd, 0x92a6b4a4, 0x577fdc8a, 0x3356df0f, 0x775af11c, 0x92aac550, 0x15e15d6a, 0x2574cfb3,
+    0xb6cc1139, 0x2f6e9414, 0xf86c5b02, 0xac410a9a, 0xc5ad31d4, 0x9e7f4129, 0xd01a51e0, 0x6f7a2426,
+    0xb667d2f8, 0x5124889f, 0x2288b03c, 0x747610d4, 0x234ae144, 0xdf86a69c, 0x34a8031e, 0x11fafd7c,
+    0xca6cc24d, 0x95fe20df, 0xacb0a9d7, 0xf3c2aa4f, 0x4dc17790, 0xd3dff975, 0xb73c96e6, 0xb53e49a2,
+    0x00000000,
+    0xd4d1ad58, 0x5e508dbf, 0xe297a14f, 0x0eda0aa4, 0x1157062e, 0xccd7810b, 0xe8c3d317, 0x724a9bfb,
+    0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000014536774485912137810986476157760090687072827213746361205629\
+                          80398361278576226795846652382101427527131121525043212532355867069203257229312 */
+  { 0x00000000,
+    0xff7338f4, 0x290a807a, 0xf6becb52, 0x0bbc4154, 0x3b7a8385, 0xbf635a42, 0xc64d8e60, 0xbdfe4851,
+    0xb3a0f2fe, 0xdad512f6, 0xcaf75609, 0xbe7448ab, 0xdb1da0c1, 0x431d8328, 0xf2b6ed68, 0xfaebb98f,
+    0xa61fb2d2, 0x51a04e57, 0x183f86e8, 0x9eb2f937, 0x65e51e22, 0x4170b9bd, 0x19c6265e, 0x68b34255,
+    0x5d808f46, 0x5e238bef, 0x0104b42e, 0x8aaf7212, 0x7219b2d8, 0x817218e8, 0x840fa22e, 0x23eef429,
+    0xfcc32cd6, 0x49464101, 0x2a51921b, 0x81a1ea94, 0xf2f22627, 0xbe3f7f99, 0x44253e0e, 0xc03d678b,
+    0x9a4cec78, 0x7b2a285d, 0xc6da8d7c, 0x237101bb, 0x023f29d0, 0xef703873, 0x727c0358, 0xe03549dd,
+    0x97a9b6ee, 0x5f5e6aa7, 0x5f360a2f, 0xb7078f20, 0x284e9517, 0xc79f18ec, 0x5eb7bcda, 0x219f71c8,
+    0x0c846326, 0xab3dc7ff, 0xbd77efd6, 0x13637039, 0x86333a5d, 0xe73f5f1f, 0x8da39de7, 0x4f4b48a9,
+    0x9b304bd0, 0x9a69c3c9, 0xe2764996, 0x9f02cf58, 0xf68de6ac, 0x64b7e8db, 0xc1a6be83, 0x766f0277,
+    0x290b69e2, 0xc519d967, 0xa4d296ed, 0x9777baf2, 0x7e7e41a2, 0xb2029f82, 0x49d4435d, 0x99b449cc,
+    0x5911c7d1, 0x603f3482, 0x082f2b9c, 0xbf0e2a3d, 0x5b74f640, 0xc58f5f17, 0xd4a46841, 0xaf03b566,
+    0x4cf2a814, 0x35660eb2, 0x3eb3aeed, 0x762b00f1, 0xa55e93e5, 0x7758af87, 0x54ed47bf, 0xc8d24977,
+    0x58e565dd, 0x7209344e, 0xd7b6e09d, 0x907714d4, 0x179c8e42, 0x5809cb62, 0x863ea2ab, 0xf8800e64,
+    0xc7338fd3, 0xbd7b49bb, 0xb85e1c2c, 0xb0b242b7, 0x37d8763d, 0xed5d6eb0, 0x03f32d6c, 0x03a06b07,
+    0xa5c0c031, 0x6337ab45, 0x48e77853, 0x1719b792, 0x03d4db4d, 0x87d09946, 0xfb581f0a, 0x168f3d84,
+    0x219aefc1, 0x7be39bd5, 0x618c1ae3, 0xc31dbea7, 0xcb875da8, 0xb0da44a1, 0x41ed281f, 0x4a706038,
+    0xcd3e2b71, 0xadf685df, 0x9d58a806, 0xde5dca35, 0x252f241b, 0xcd164585, 0x1c3db854, 0x3dfc109a,
+    0xd16e872c, 0x3871cd71, 0x915d390b, 0xc12e47e3, 0xac8df9bf, 0x98ef755d, 0x3fdf5013, 0x2f16286f,
+    0xe67528cc, 0xbacd042b, 0x4541da5c, 0xe59699c3, 0x07cec18b, 0x31aacb59, 0xaa83e146, 0x69ea7277,
+    0x4c128e33, 0x1e8673ff, 0x7d1dbc13, 0x24dbea24, 0x84d1b0ea, 0x9eb9667f, 0x16c75341, 0xb83935c0,
+    0x0eeb1cfb, 0x950ff88e, 0x5256e51b, 0x78381c6f, 0xe465ff9f, 0xe24a7ca9, 0x87c77cb3, 0x334e2328,
+    0x2773e208, 0x83f4eb73, 0xeb70e445, 0x94b5f452, 0xc5931fdb, 0x938b2e29, 0xf8fa5907, 0xc8588f20,
+    0xfedb9b10, 0x6b4e72db, 0x4342d0ee, 0x06ed78fe, 0xacad6f6f, 0x38a88198, 0xe7c9d059, 0xa98a3bb6,
+    0x20026480, 0x3794b019, 0xfa286f94, 0xc1a50882, 0x480dd600, 0xda8c7872, 0x36242d63, 0x3588b9ac,
+    0xa79f582f, 0x447380ca, 0xb6611506, 0xce2df2f1, 0x9f5cea14, 0x703c9186, 0x45752dd7, 0xba9a3516,
+    0x5c167ce2, 0xd5938ef5, 0xde783a5f, 0xbcd5c67f, 0xdefa68e2, 0x6f075296, 0x7e0d4e41, 0x1c328acd,
+    0xfc08e8be, 0x570acab9, 0xe8b4c04e, 0x1ccc5153, 0x1b856842, 0x248fac43, 0x7b48c50a, 0x9e17749b,
+    0x0676cf71, 0x6fff15c5, 0xf4e9b9f3, 0xa9d436af, 0x263afcd0, 0xa86184ee, 0x85caa8e9, 0xe0127476,
+    0x6f8f4cd6, 0x5a151f44, 0xffbcb720, 0xab6e93b2, 0x58ea5c00, 0xe9b87bdb, 0xcb47064e, 0x157212e3,
+    0x34a1e293, 0xc3200c23, 0x7562fc7f, 0xa6b658f3, 0xbb7060ae, 0x89f1a2af, 0xd9789469, 0xa385b6e3,
+    0x1f527fb7, 0x1e6e235b, 0x88f0ea4a, 0xa9e1817d, 0x0a90af29, 0xe834c622, 0x1a7fd85a, 0x4035d9ad,
+    0x234f7c93, 0xdab7b936, 0xc6b32bec, 0xb3b18c39, 0x48a64064, 0x53dbb144, 0x8a3a73f9, 0xe3c368e2,
+    0x7517aad1, 0x9e2f1d57, 0x171bfeac, 0x9164e4fb, 0xf1305bf3, 0xbac47043, 0x8b9685b1, 0x72b9f27f,
+    0x0a79f6ae, 0x5e99b2c3, 0xbc8350a2, 0xf1277b94, 0x044cecc2, 0x2878261d, 0xa53fabcc, 0x39299f83,
+    0xc7d27edd, 0x3d5f11cd, 0xd43126c2, 0x4bd127da, 0x2ea828b3, 0xe84148a8, 0x77006a11, 0xb35897bb,
+    0xf58f6ce4, 0x47e00e95, 0xa69b138b, 0x97a6c17c, 0x4dbbda62, 0x8ea915e6, 0x56599adb, 0x6f6fa80d,
+    0x9a00edee, 0x85de238f, 0x0e33c7ed, 0x942ba2ca, 0x6233db5a, 0xda7a94d1, 0x9d293134, 0x8eddd82e,
+    0x9da967bd, 0x2fbbd025, 0x9e521111, 0xf8b87bee, 0xa1f718c6, 0xb052c728, 0xaf924a96, 0x0c95fbdf,
+    0x8c0282b7, 0x9a2a7666, 0x7798739d, 0x79bf2cc9, 0x3645c025, 0xeb2d99b1, 0xa0833b79, 0xf2d7095b,
+    0x23f55d90, 0xcbe69e98, 0x1bca93ce, 0x27cf0127, 0x015eebfe, 0x9397b62f, 0x8746b3b4, 0x9fa5ea24,
+    0x75a5f128, 0x6288ccce, 0x70f77efb, 0x4ebb884f, 0x3f742e40, 0xf1ba4305, 0xa445651e, 0x47e47973,
+    0xa352c3af, 0xfb086b52, 0x5025a2bb, 0x7f018f83, 0xb47c959b, 0xa50a6f1e, 0x310326cc, 0x358edf05,
+    0xe34d38d3, 0x232ac05d, 0x32aa6864, 0x35652a1b, 0x99127e90, 0x02145eb8, 0xf182437c, 0xbc15d6da,
+    0x0b4cfc17, 0xfe1eb2c4, 0x1803399b, 0xf3125148, 0x23a6a2f0, 0x851ca025, 0xb88f5803, 0xbfdd1247,
+    0x350d2282, 0x3931b56e, 0xbe7cfbcd, 0xec8a24e1, 0xb692a2d9, 0x2c5f825d, 0xe3bdcd70, 0x3fedf416,
+    0xcaaad060, 0xabae0a43, 0x65aaf400, 0x4ddfc689, 0x75cf4078, 0x8febf55d, 0xad5191d0, 0x5e54a1d6,
+    0x934a3827, 0x165060cd, 0x1b88d2b0, 0xe3f19768, 0xc644b00b, 0xcf2a8c44, 0x25bcb152, 0xa91be516,
+    0x966f4ecd, 0x9def03fd, 0xa47d95e5, 0xd1e8969b, 0x33894075, 0x5c0e14b4, 0x78862b74, 0x1042a4d2,
+    0xba274d0b, 0xea3a5500, 0x9d4d6f1c, 0x8818d1ca, 0x5923e745, 0xedea81a7, 0x165fa40e, 0x7d88c35a,
+    0x6ed1cec9, 0xc13f9672, 0x2c655a66, 0xf6c0384f, 0x452fea77, 0xa1dd6012, 0xb4e4dd64, 0x470d006e,
+    0xdf01aab7, 0xe2270e41, 0x7e44b5fd, 0x17722b19, 0x58a2d59c, 0x4a20015a, 0xdc471130, 0xc95922fc,
+    0x7497b239, 0x7bda8736, 0x1adc3371, 0x637f024e, 0xce84c24a, 0x74224b31, 0x6e16f471, 0x88cbee74,
+    0xc286da45, 0xe4d3bd18, 0x2d6b59c6, 0x0a3912d8, 0x1dbb7cf5, 0xa705343f, 0xe9e1bd73, 0xfb7efa51,
+    0x56cba9a1, 0x3ee55eb6, 0x3f2f5382, 0x790eeeb3, 0x975588e2, 0x16b631bc, 0x910dd0d4, 0x96a538b5,
+    0x37ba6a11, 0xb9a5975a, 0x7f1628ca, 0xd40d18e0, 0x8e925c3a, 0x9e24dd33, 0x313fbacc, 0xf63742d5,
+    0x7a99bef6, 0xae43d45d, 0x52f27dd7, 0xa6d6eac0, 0x13ed9add, 0xc3a94cd6, 0xa8a4e0e5, 0xbde1d42b,
+    0xa081c32e, 0x7c07a06c, 0xe3267ffc, 0x422107ec, 0x983d3178, 0x3734bb45, 0x9f6f942a, 0x7691fc0c,
+    0x1c0c16a0, 0x1f4614d7, 0x76908e6a, 0x086e807d, 0x8ea7ed6c, 0x51e28aa6, 0x6842a727, 0x4b121900,
+    0x4c591253, 0x95e87dc2, 0x3ae6b0dc, 0x914dbb39, 0x8d4eaa77, 0x8ef6a5d2, 0xc5154a4f, 0x9b1e6bf7,
+    0xb8e70e80, 0x1c817d52, 0x86471916, 0x7baca24f, 0x54d06773, 0x0fdf8f4f, 0xa1a3c1ac, 0x81a8d9ed,
+    0x65d8293c, 0x94fa4c5c, 0xa292e51c, 0x6594179f, 0x7891203f, 0xaaf5961a, 0x8c6df56c, 0x5405155e,
+    0x35de6a7d, 0x04740386, 0xd3d3ce3d, 0xf89370d8, 0x2fb10a93, 0x1d32eb53, 0x71ba19c2, 0x27981779,
+    0x84a500af, 0x80805ae8, 0x3457cb9f, 0xc940f77a, 0xcbe2ab09, 0x7d2f9173, 0x034040c1, 0x7a4a552b,
+    0xcb6ab402, 0x698f40ef, 0x17ab7ea1, 0x065170e8, 0x4972441d, 0x106a2c8d, 0x9ca765e0, 0x2e25b03d,
+    0xfb3a185b, 0x7e556742, 0x83be1dbb, 0x13c30675, 0xb8699620, 0x806de735, 0xbb4f6d0f, 0xb84ef78d,
+    0x432d17be, 0xbe02ab59, 0x760f69b7, 0xc8f195a9, 0x07feb418, 0x675a290c, 0x5aefdc56, 0x2beb1888,
+    0xdbab91b7, 0x62d9c9e4, 0xb6aed07d, 0x077694dd, 0xd8b3909f, 0x6e6c60d1, 0x08d921de, 0x334c6d2c,
+    0x19dfaedc, 0x9f8e0b84, 0x6201cfc4, 0x6c6d2905, 0xd687a30b, 0xb74f848f, 0x4db46266, 0xa05bb68b,
+    0xfd2aeaa4, 0x1608c0fb, 0x41346de2, 0x00907429, 0x3d9e4753, 0x47890622, 0x155b1a61, 0x2ea02fda,
+    0xd14c8c25, 0x40cb3f02, 0xbae94f61, 0x05e8dc77, 0x113785ab, 0x9e96d080, 0xd8aa0fd2, 0xf7dfa4bf,
+    0x14eacf5c, 0x6d2ce329, 0xa319d3e0, 0x9b9c0907, 0x611d89f2, 0xf76e9a34, 0xd83cf5a7, 0xacfa0d6d,
+    0x6af37380, 0xf67f823f, 0xd1b5c3a5, 0xa1bf40fe, 0x562d3bf0, 0xcbb719d7, 0x2547c855, 0x874977f2,
+    0xac172978, 0xe8431a9a, 0x674c8535, 0x64a06707, 0x14da1caf, 0xa5f85adc, 0x29ded5b7, 0x2f2cdf8e,
+    0x36a44677, 0x0290b228, 0x52630c18, 0x4268296b, 0xe151104d, 0x79f76549, 0x3b112f4a, 0xd8c51470,
+    0x8cd4089c, 0x568e2ede, 0x74011198, 0x94321336, 0x2213e2ca, 0x71ee200e, 0x576a2c22, 0x1ee69ef5,
+    0x6e2d0770, 0x6b75c9d3, 0xb6654836, 0x64736985, 0xd21dd634, 0xf4414a93, 0x17d46aef, 0xab1d4407,
+    0x9d8508f3, 0x53877ae7, 0x24f4bba0, 0xbde8545a, 0x9069259d, 0x489d155f, 0xb5e74989, 0xc662442d,
+    0x8573349b, 0x33fef1d6, 0xcdf68acb, 0xe636015c, 0x2c0324d5, 0x2c0c9406, 0x8717a0f3, 0x551da321,
+    0xdecb7a64, 0xd318417a, 0xca566c44, 0xe6ff5b98, 0x70d65f1d, 0xd7622e92, 0xa0688809, 0x3c3fe1ff,
+    0xb0959c15, 0x653d3104, 0xf3759edb, 0xa474471a, 0xc5db7bc0, 0x3e2592c6, 0x25172fde, 0x593f003d,
+    0x925c701c, 0xa7ecc5ee, 0x506d60b7, 0x4c6ec9b4, 0xf1e07755, 0x1e38770c, 0xc6407815, 0x050c386f,
+    0x23ffe96b, 0xaf79941d, 0x271288ae, 0x265863ed, 0xfe6204ba, 0x06a6a8d2, 0xc39f87ac, 0x311d2c98,
+    0xd765a41c, 0x04441f26, 0xec918e3b, 0xe4167c20, 0x5b30fd31, 0x3395eea6, 0x1d866559, 0x159ff0c9,
+    0x3650afa1, 0xe7f6e6f7, 0x1ad15cae, 0x07119e20, 0x225aeae7, 0x9f116c60, 0x3d31ee39, 0xf72122cd,
+    0xd05ae505, 0xe8c519db, 0x543a9d55, 0x7afe559c, 0x76840b2e, 0x2dc52630, 0xb2db0b93, 0x19ebd802,
+    0xeb8073c4, 0x4d3fe9f6, 0x774872a5, 0x754b3981, 0x3f2cceeb, 0xe0dc9bc2, 0x811c2105, 0xad5692ab,
+    0x38e60eb4, 0x6feec2b1, 0xa0336f22, 0x97687529, 0x070dd66a, 0xdb949529, 0xc2b2eb33, 0x9233f960,
+    0x5793239c, 0x73241a31, 0x240b39d2, 0xe917e0c0, 0x6b556bd6, 0xd1f92d65, 0x9b02103c, 0x009914f3,
+    0xe0fadac0, 0x374db107, 0x1fe86242, 0xa69905a9, 0xbc32b1bc, 0x6664eef3, 0x198093c1, 0x49184180,
+    0x765635ad, 0xcdaf9561, 0xea8f4c8c, 0xf1514fa4, 0x5915bbb9, 0xc562788f, 0xa5300e63, 0xb27a6a74,
+    0x16d5ee60, 0x998377b1, 0x6d240a69, 0xefeba824, 0x7de6f658, 0x99ee8b32, 0x37b9cab2, 0x02351d82,
+    0x16a59601, 0x96375bd4, 0x473011ce, 0xb98c9a1a, 0x35ae9ead, 0xb003f039, 0x30476fb7, 0x0f2a5410,
+    0xcdf28cb3, 0x4054c242, 0xb148c251, 0x402e9897, 0xde37a958, 0xc252d475, 0x172873aa, 0xefcb5ed4,
+    0x05bf30b0, 0x3f2b7768, 0x74897286, 0x6e41af4b, 0xf08ad74f, 0x3b4341af, 0xdd4e295c, 0xf3020744,
+    0x36897eb8, 0x37fd6d1f, 0x95530ce1, 0xc091a53d, 0xb408be31, 0xc1779125, 0x785bcab5, 0xb3cafe34,
+    0x294f3889, 0x6b5fcabc, 0x563b6c33, 0x164cf19e, 0x8a2ff83a, 0x2832dab9, 0x27216e1a, 0xa017d7d7,
+    0xbb2bc650, 0x3db35357, 0xa9c9969e, 0x6da38010, 0xa20ede3e, 0x21157148, 0x9746d9a7, 0x8c356866,
+    0x5f48f045, 0xfb5792aa, 0xd4b8182c, 0xf966aced, 0x0ed66878, 0x710c2fea, 0x502401f9, 0xc3faa8cf,
+    0xa43a3c01, 0x8528fee8, 0x7457a2fb, 0x3a7e8cc6, 0x82231dd8, 0x1af55424, 0xe791c739, 0x27903a9f,
+    0x0b5a6ed2, 0x64a84ac8, 0x31d44cd5, 0xbe40d3cb, 0xfd21db42, 0xe584fe45, 0xc6f4a46e, 0x3f6b8b60,
+    0x5a82f6ad, 0x5f838406, 0x9eb076ac, 0x90db7016, 0xe0f7ca60, 0x514674f7, 0xe468d8b1, 0x60ee0010,
+    0xe93a7cdf, 0x6f9f5c49, 0xefada3be, 0x7c80f51e, 0x48097939, 0x984f3a76, 0x542b643f, 0x892d4fb2,
+    0x23e32572, 0xf77ea8e4, 0xbac5ee6d, 0xec5bd5ec, 0x66c08855, 0xa0fe51e6, 0xced11dd4, 0x63874cd6,
+    0xab052a5b, 0xc3aca722, 0xa6393bd1, 0xc63fe646, 0x6c460f9b, 0xbbe11e92, 0x2953a72e, 0x1e763db7,
+    0xf7cd830a, 0x06adaf73, 0x6ed8eead, 0x590ce070, 0x19c580b5, 0x01e8876d, 0x9b828d3a, 0x37afde3c,
+    0x60b49b86, 0xb59a67bd, 0xff8fc5d8, 0xe183eca9, 0xbab7a6b4, 0xab188e91, 0xf4170b6b, 0xd25bcae9,
+    0x0c00250c, 0xa27ccb24, 0xc9bbfdc6, 0x333f13b1, 0xffd02bb9, 0xa3931f0f, 0x5b881880, 0xed1cdde4,
+    0xc9f90d52, 0x1dbde074, 0x3fbc300e, 0x3345facf, 0xc2061d9e, 0x794e495f, 0x1c3bcad3, 0x7b4124af,
+    0xf4629001, 0xc3e46aba, 0x5ef8aa9f, 0x55c679a5, 0x5cd76148, 0x6c76508e, 0x3cc55381, 0xb9f9010d,
+    0xed47f7cf, 0x24c0038e, 0x5a44a3ab, 0x6fb11c75, 0xd1df281a, 0x5838ef76, 0x61728c7d, 0xf60c0a73,
+    0x6ebee0d3, 0xd1bca447, 0xfbcf6605, 0xf8e6b8c1, 0x678ec019, 0x68c8d95b, 0x413e2442, 0x199dfab6,
+    0xdfebdf22, 0x96fa8c71, 0x573e4bc9, 0x4ee2fdae, 0x2afc86cb, 0xf3302bf5, 0x41837d0d, 0x4def8136,
+    0xd43e9aba, 0x63934b53, 0x143621e5, 0xc26e913c, 0x051d50d6, 0xf9f9ca20, 0x4469d0fb, 0xfeb9003c,
+    0x8b4b3644, 0x8972f3db, 0xe1d5f85f, 0x5a18306a, 0x2508bbb4, 0xb773a9c9, 0xb5d90ac2, 0x57f2e159,
+    0x44d4414d, 0xf31eee88, 0xb66505e3, 0x19a04bc8, 0xca49fb16, 0x328d0c2c, 0xd3ad3937, 0x77246723,
+    0xef576e4c, 0xb74114c9, 0x3b72fa17, 0xc5a3dc0a, 0x547b845a, 0x59c65986, 0xe15c7609, 0x044d9145,
+    0x239c67b3, 0x8ba67105, 0xd3f437ed, 0x0f595f64, 0x7d3d9f80, 0x729678ee, 0x91949a42, 0xe7b394a9,
+    0x3e7ed68c, 0xc3f86cce, 0x6955eae9, 0xa30a2530, 0xe6a3f073, 0xa0ad36a8, 0x0b11c3b0, 0x82e337f0,
+    0x5777cd8c, 0x336aadfa, 0x473a7f98, 0x5c762d5a, 0xe01ddb53, 0x423d5df1, 0xa03b5dcb, 0x6fd4f56d,
+    0x9fb9dee0, 0x468001b1, 0x70462107, 0x9aa0bcb3, 0x7094666a, 0xc18de8ab, 0xe3cccd46, 0x736375d0,
+    0x4781a5eb, 0x03960505, 0x95d5c278, 0x1ad86561, 0xa4e9a606, 0xdbe57780, 0xb0f0a9a3, 0x4dfd3abb,
+    0x2d274bc9, 0xa0246a0e, 0xbf6a46e9, 0x022f6bde, 0x0c1c046a, 0xf6859084, 0xcae95410, 0x417a2bb9,
+    0x86f2d23f, 0xc78d15eb, 0x192364c4, 0xe785a686, 0xfc4c366f, 0x41f98eea, 0x97670053, 0xe79fa899,
+    0x3374cab7, 0x62d3cdc7, 0x9fb42a61, 0xfcd5166f, 0xcefbc0f8, 0x8f04fdd5, 0x5928eabf, 0x1f1616f8,
+    0x60d5b9c9, 0x9aa18fec, 0xe03216bb, 0x1cafb9da, 0x69ae1386, 0xe1da8216, 0x5450b38f, 0x95fe6af2,
+    0xbb7825cc, 0x5a1e45f8, 0xb8a67e58, 0x02afdd7a, 0x2e176d99, 0x2eaf03fb, 0x475679b6, 0xd76711f1,
+    0x00000000,
+    0xea68d6ab, 0xaf2846df, 0x714bd0a7, 0x076d0552, 0x88ab8317, 0xe66bc085, 0xf461e98b, 0xb9254dfd,
+    0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000007268387242956068905493238078880045343536413606873180602814\
+                          90199180639288113397923326191050713763565560762521606266177933534601628614656 */
+  { 0x00000000,
+    0xc1291cd2, 0x95d76bf7, 0xcaf2e6aa, 0xeb0494a8, 0xd27235e7, 0xb9ddab54, 0x7d3060eb, 0xdd631def,
+    0x2d81b7fd, 0xcce905cf, 0xc439b76e, 0x79700c8f, 0x65c1c940, 0x4e5c19e8, 0x7836b15b, 0x84a64d6d,
+    0x46277df1, 0x286383ab, 0xd7233031, 0x4c29628f, 0x2332d448, 0x4c76123b, 0x778ee299, 0xb014055c,
+    0xab503921, 0xa122af77, 0x31b589e2, 0x16babc48, 0x06c9faee, 0x0d149660, 0xf6e2406d, 0xbe0b3690,
+    0x9a86ddbf, 0x201e324d, 0xf1eaa8ac, 0xb7a3cb3d, 0x6972090f, 0xb6af0432, 0x46e3f0f8, 0x2fe6dd32,
+    0xba51673e, 0x92bed420, 0x27bd30ed, 0x2f095de5, 0x9f7ce1e2, 0x98e2ed53, 0x6f260e54, 0x6d2f948e,
+    0x655a87a5, 0xdcfed78e, 0x7ad46208, 0x0e4a8b6c, 0xd3e97f52, 0xa1cf339f, 0x0f647932, 0x5ef28a1b,
+    0xe63c3cc0, 0xfb37a3aa, 0x4fa01a9f, 0x1bd0ef8f, 0x73dd9c73, 0x787cc910, 0xee2a3117, 0x92299a46,
+    0x4b2bc0af, 0x6b3d9a4a, 0x12bf6a4a, 0xbaa602e6, 0xb2ad5454, 0xf5b5b986, 0x5184e42a, 0xfa2a1515,
+    0x6e8852ab, 0x7e293994, 0x31cc916d, 0x50109447, 0xd9e3c605, 0xb3c1eed2, 0xde81fbd1, 0xe2788097,
+    0x943590e1, 0xe3a84fd1, 0x7e8215d0, 0xb324be7d, 0xcff5a9c1, 0xbf1acf9a, 0xc74b49a1, 0xfcb03e59,
+    0x4c9a799c, 0xfcf07f9c, 0xa1ba625b, 0x6ecc80db, 0x36ac37c6, 0x22815e09, 0x9c18dc84, 0x38bf557f,
+    0x884d1500, 0xf7e774b0, 0x717de0c4, 0x40967b52, 0x9eecff86, 0x930f0de2, 0xc0d3c5ed, 0xab4e7589,
+    0xe24bb8e2, 0x82862436, 0xcfec75f1, 0xd0afcdcd, 0x3a554e38, 0x54a395cd, 0x518cdfbf, 0xc4639bdd,
+    0x42146045, 0x43a51c41, 0xc14618b5, 0xe95a2f60, 0x5449b9ba, 0xb42ca862, 0x22ea1502, 0xfcb43969,
+    0x05992d7d, 0xecf19cdf, 0x9ccd5e5c, 0xcd283eff, 0xfe6b481f, 0xa0542462, 0xf7daed72, 0xd54cee2d,
+    0xb8e5b36e, 0x1a33d961, 0xfe52c096, 0x13da9b31, 0xd022d75b, 0xfe39dd9c, 0x1cc4059e, 0x32f6f950,
+    0xd7860827, 0xe7d01ebb, 0xc47e53c0, 0x430aaa0c, 0x500ba5c1, 0x56d4094c, 0x2e899d90, 0x1d2be2df,
+    0xd34daba1, 0xaaea85df, 0xe4933866, 0x5947b1d9, 0x4be9b5e1, 0x390526d7, 0xaa013059, 0x10f2cc10,
+    0x1312dd94, 0xb3435c5b, 0xbe21529a, 0x20534698, 0x07a78a46, 0x742fc5a0, 0xf96f0466, 0x6c2055b9,
+    0x5feaa447, 0x7ff36417, 0xa69fe9db, 0xea2c827a, 0x95619311, 0xeb56890c, 0x2c2bf653, 0x0aceb7b0,
+    0x872d3b54, 0x7ce2cf2c, 0xec189c5b, 0x67e22137, 0x9e220a97, 0x235ed49f, 0x31ac0eb3, 0x8f37193e,
+    0x96a2fa1e, 0x2b041244, 0x9523b61c, 0x0787f53f, 0x5c881f5d, 0xc570ef36, 0x7599e7c4, 0xd398b3a6,
+    0xf68324d0, 0x5eaf9b42, 0x973266c8, 0xde889162, 0x8acfc014, 0x554defb9, 0xc75c4ee8, 0x427fda80,
+    0x97240007, 0x31c82346, 0xe90d1cc0, 0x324e0753, 0x88811f3d, 0xc9dea726, 0x5138e237, 0x189e5cbc,
+    0xdfdd358c, 0xb0a471be, 0xe95ffa12, 0x05a263f5, 0x5e67c33c, 0xee4e245c, 0x47d27ea5, 0xcb36e216,
+    0x1563241b, 0x043eb5ed, 0xbfb6ab8e, 0x821fdf1f, 0x8d1b5c66, 0xb7e6e16f, 0x84c7b856, 0x1002b541,
+    0x0b7f693f, 0xbeece525, 0xab139e81, 0x14d80bdc, 0xdd2db6a3, 0x81ffaa61, 0x88df3047, 0x2a0f55e5,
+    0xc053f1fa, 0x00ee03b3, 0xdfb2bac6, 0xbfb1bdc5, 0xe6f7ec2e, 0x9223af78, 0x9464f2f0, 0xfeb18cf1,
+    0xf83efc54, 0xa3322275, 0xfb491eba, 0x0bc108d4, 0x4fbf6fbc, 0x898e4a76, 0xe686e5b0, 0x12dbee0f,
+    0x77c0c2e3, 0x6f12d121, 0x989e9598, 0x042a382e, 0x2b9fa287, 0x29590992, 0x94c7b74d, 0x0c037fee,
+    0xb1c9b510, 0x3fd74994, 0x8b111e98, 0xc8706871, 0x7e1ef8d4, 0xb42cd36c, 0xe37bae3c, 0x6ab23c50,
+    0x8974ac9e, 0x83464e84, 0x64dbf1a8, 0x11741ae1, 0xccc12215, 0x41c2f04c, 0xcacc14f3, 0x4f2e0e0a,
+    0x49d40c23, 0x1eecbbb7, 0x7a35ee44, 0xc90e5096, 0x6da1e175, 0x907bdaad, 0x16490743, 0xce5b7588,
+    0x24f3e647, 0x86ce82c6, 0x4d602c64, 0x863a3a69, 0x4698df74, 0xd82e13f1, 0x5441c2aa, 0xebfe3728,
+    0x63c62a80, 0xe734ebf5, 0x3dbc4832, 0xae39b9f7, 0x5f5b48c5, 0x03364f29, 0x8120e6ee, 0x249152f2,
+    0xd1d05a8e, 0xca30e0ab, 0x751f75b9, 0xa46d7559, 0xf945f08e, 0x009eeba1, 0x8a6ae98f, 0x47e4e272,
+    0xf0f415fa, 0xa00d3e3b, 0xb0c281e8, 0xf085f850, 0x624c6400, 0x993bd8dc, 0x53a9ae0d, 0x6a3239d4,
+    0x48d803d3, 0x202353a4, 0x6bbd54e7, 0x8b463a97, 0x6a0eb58f, 0xb5333312, 0xca616690, 0x682f1a38,
+    0x2d2dae67, 0xb6641756, 0x92a5ff1b, 0xcec3135f, 0xa0f5014d, 0x1e5b9b53, 0xe65f0aab, 0x282bdefc,
+    0x597c1b42, 0xd91e3d32, 0x66083634, 0xfcafa3b7, 0x05feacb8, 0x6416602c, 0xf905bcd7, 0x9a3f8096,
+    0x98178c7b, 0xe522ae11, 0x6e9f3028, 0x75d81857, 0x62ddd480, 0x16560411, 0x6b6782ae, 0x67dcf37e,
+    0x04638a02, 0x0bd3bb66, 0x2fe1533d, 0xf1687978, 0xce4cba85, 0xde66e789, 0xc0ac4028, 0xd5cbcc70,
+    0x3b00c593, 0x822dffad, 0x57167491, 0x569babdc, 0xca84bc42, 0x61d5238b, 0x0f519e4d, 0xdab98ef2,
+    0xda9094db, 0xda6a9604, 0x55bec125, 0x36146006, 0x18c38964, 0xebe01163, 0x07cf6e29, 0x35eebb75,
+    0x2ce9635a, 0xbc33d5e2, 0x2eefbbb0, 0x64332896, 0xb54bb2bd, 0x361abd2e, 0x1b2ecf81, 0x59b09aeb,
+    0x8e3ce23c, 0xe22a0253, 0x4ad3f959, 0xab263a22, 0x316cf124, 0x7d2ec8af, 0xd79e0afd, 0xce90025e,
+    0x70c12da5, 0xc054182f, 0xf1238c5b, 0x09db5572, 0xcc089051, 0xc01908a7, 0xfbea74f0, 0xc3c466a9,
+    0x5b5f1e0b, 0x57c56483, 0x9931544d, 0x331fc378, 0x328c4866, 0x3eb4f28e, 0x2a974183, 0xf920476b,
+    0x07f66adc, 0x32fe29e7, 0xec430cb0, 0xab739bbd, 0x5534d671, 0xc96f29e4, 0xf1a8b84b, 0x8f047926,
+    0xc2644bae, 0x8e61015e, 0x16114481, 0xccdb2cb8, 0x9cb9dce7, 0x3c1577b2, 0x35989cce, 0xb23bcfb2,
+    0xc057dee2, 0xa3748b75, 0xa37fd338, 0x54ec46f3, 0x19120ced, 0x9703edcf, 0x51378cbe, 0xd8664498,
+    0x2601b790, 0xd82ae74c, 0xe9bfe7aa, 0xc6eda82a, 0x5ef21890, 0x0702c56f, 0xe24e3c6f, 0x4f0fcba5,
+    0x8b218dd3, 0xad6229b5, 0xcdc15712, 0x797f52d9, 0x7c76c243, 0x092702d6, 0x0781a222, 0x1c7f93ae,
+    0xe507953a, 0xc2c5ce46, 0x6a5b01ad, 0x0c1413cc, 0x29b37938, 0x68c5cdce, 0x17f1f24b, 0x21e4de33,
+    0xbcd204c8, 0x493cfb4e, 0x76eced46, 0xbbf11bb8, 0x4efbc01c, 0xb6a5b6e6, 0xe6108b80, 0xe6b9edbe,
+    0x09004466, 0x733a8fe2, 0xda3d7b8c, 0xdce91804, 0x8264f517, 0xf8f3722e, 0x2eabce22, 0x16c79f5b,
+    0xc9ca9c5a, 0x4c51c8ef, 0x69225f3a, 0xdf83f0ec, 0x9bf3a72c, 0x0785cea2, 0xc508e304, 0xcd3eaf08,
+    0x4cef42b2, 0x60b65464, 0xb63322f1, 0x540cc52a, 0x1d94a989, 0x0fb7ab0b, 0x8f605d6d, 0xd8d63363,
+    0xc19b339a, 0x254da7b0, 0x9570f532, 0x00faad41, 0xfb1ab4a1, 0xb399b63f, 0x6564f5d2, 0x7ef92e0c,
+    0x795f2c88, 0x3e7a0410, 0x6fd789bc, 0x805ea720, 0x55745f8a, 0x0c5f03df, 0xad1d3b76, 0xb70e11a6,
+    0xa1e0410e, 0x12659214, 0xdbca0c0a, 0xe5bd5b8f, 0xe703fbaa, 0xa2a90d38, 0x306800e4, 0x06aac576,
+    0xae9b0c2d, 0x7c065804, 0x29565a12, 0x6c522f58, 0x79b6df50, 0x032fbf71, 0x20e1117e, 0x5c92326b,
+    0xbb0d1423, 0xfafd4504, 0xe2b092f0, 0x08a10e35, 0xd8d3ae5d, 0x749acb12, 0x48f9f40d, 0x5844eca8,
+    0xa0be0744, 0x894b1ccd, 0xd98353a7, 0xe218a973, 0xfaac1c1a, 0xaf1abd9c, 0xcdee1e84, 0xe6765ca6,
+    0x626ffcf0, 0x9d3d6f2e, 0x3acf3823, 0xd04d3362, 0x55a5cc37, 0xe42bd1e6, 0x4fa21304, 0x5abb1fe9,
+    0x18c72c49, 0x624d1fd8, 0x7fdd7ce0, 0x4e6ef543, 0x22de36e1, 0x7d75c287, 0x13829efa, 0x286225cd,
+    0x94374b43, 0xba36fad4, 0x242b7c15, 0x774930bc, 0x64cb11e9, 0x503de007, 0xe5bbe21c, 0xa829838a,
+    0x4a01e057, 0x8b54b0d2, 0x9411a758, 0x160f12d1, 0x8d093ee3, 0x391f9e05, 0xa1ebc591, 0xfbdb585f,
+    0x158629e1, 0x8a67f786, 0x9f3347fc, 0xe9a5b98f, 0xfe845b12, 0x4aa20744, 0x7f496ca7, 0x7037d13a,
+    0x14b59f70, 0xc3ea345c, 0xb879da66, 0xb68e8c29, 0x1bf9f0a9, 0x2d5d1acf, 0x08edcf6d, 0x396bfe23,
+    0xcec46a8d, 0x59ca864c, 0x6159c17b, 0xa23f57c0, 0x3fdc1c03, 0x68fcf48d, 0xedb1b24d, 0x76528d0e,
+    0xb6e9b9de, 0xc92285d9, 0xe1a131c2, 0x36a58d54, 0xe7a1d995, 0xe18381f7, 0x282feed4, 0x4619f7b4,
+    0x5016bb86, 0xae95e2b2, 0x6bfbfe90, 0x82d99475, 0xfd96ae26, 0x5e59ac4c, 0xb26474b5, 0x82d05ed2,
+    0x7f9054df, 0x20c51dfc, 0x57764754, 0xe089b8ab, 0xf829d526, 0xc07d039f, 0xfcafea65, 0x029e679c,
+    0xc804fcc2, 0xcb983792, 0xc20077ff, 0xced70625, 0xfdd4919e, 0xd00f6223, 0xbf5d9ea6, 0x482aab26,
+    0xcdb36651, 0x22f5bd4e, 0x0cbfc595, 0x7dcb5bb4, 0x5e84be0a, 0xe06708ab, 0x5957b7b9, 0x8f6efbc9,
+    0x60dc5e2b, 0x52d68987, 0x5b8ebe73, 0x30606003, 0x132343fe, 0xd0bbe5f8, 0x4b497fa3, 0xdaa1fa9d,
+    0x8be6f6a7, 0xab3516fd, 0x909fc882, 0xc60a375f, 0x33c5503e, 0xa481a48c, 0x61928b4d, 0x84a0181e,
+    0x8be10b82, 0xc3d5eec1, 0x64e120d1, 0xb1ff0883, 0x2c80775b, 0xb93fd891, 0x71010998, 0x050d0821,
+    0x91b61393, 0xdf6dfc3e, 0x8822fe3b, 0x5d9e69e9, 0xc53171d2, 0x9818da5d, 0x2b93e370, 0x7132cf02,
+    0x28e91d68, 0xde49e1e0, 0x2c47d767, 0x2a1b1047, 0xa455f74b, 0xbe80f4a8, 0x55652d8d, 0x5f668487,
+    0x8c041d4f, 0x73799f07, 0x44288c06, 0x2007837b, 0x9a76c4e2, 0x1c8a93d6, 0xe102b0a8, 0xa4b89147,
+    0xc4117485, 0x91fc7511, 0xdea1edfd, 0xebae70ec, 0x8b8cb5bd, 0x7450d1f4, 0xb4226815, 0x21ea8b20,
+    0x6c87b8ac, 0x37b160f0, 0x6175d59d, 0x3d779549, 0x27ad5c43, 0x23fbb407, 0xed4e515d, 0xf68f49d8,
+    0x471b85dd, 0xfaf7615e, 0x76ec5690, 0x06107809, 0xa1b54988, 0x81084530, 0xb82cd1d4, 0xb8d22fd8,
+    0x1d78b6f7, 0x19b8bc37, 0x981923a4, 0x1684159e, 0x02e4464d, 0x7cc10412, 0x005a2979, 0x7d0821ab,
+    0x80891bc2, 0x57469081, 0x37461ed0, 0x0ae07200, 0xa1178c0d, 0x18a569ba, 0x4f71929d, 0x517e3db9,
+    0xc373dab2, 0x9974f29f, 0x43ac27cd, 0xebfe8c35, 0x81c5126f, 0x5293ae49, 0xf13fd99f, 0x3ee01b30,
+    0xb977594f, 0xe19a52b8, 0x21b4f4d0, 0x26e85646, 0xe29c8082, 0x95ca61b3, 0x4f96b52b, 0xcb5816dc,
+    0x8e842937, 0xf9f26690, 0xb675a391, 0xccbdfb6f, 0x56c4ecee, 0x6c6dc61b, 0xdac7cd24, 0xb3bc680a,
+    0x7f319712, 0x3591b7d8, 0x3132e41e, 0xfd61e53e, 0xa9992c55, 0x6feaab0d, 0x06af668d, 0xfd4e1ce9,
+    0x9293e91e, 0x22f4a152, 0x6966bf3b, 0x334df818, 0x37ec0668, 0xa242a2ee, 0x839773a2, 0x58c9d0ce,
+    0x7513e735, 0x1c25e2d3, 0x0b00f8f6, 0xa3be51b2, 0x1354b78b, 0xbaffbe05, 0x7f37e91e, 0x38bdda5e,
+    0xce2f2bb7, 0x0df0f0f6, 0xf5d2bad9, 0xc6d76985, 0x293dd4a5, 0x93c05302, 0xb3b7fbb6, 0x8392d98b,
+    0x85cf97ae, 0x6d743809, 0xdabfc12d, 0x7ad0ee5f, 0x2e22ca40, 0x26326a8b, 0xe1c2ca33, 0xe08db91f,
+    0xbae256a7, 0x3f14b812, 0x3671993b, 0x4c5ef8f7, 0xad21f482, 0x85b809ae, 0x8cce16b6, 0x6cd46ab6,
+    0xd1b4bccb, 0xe31fb1be, 0x54e4a8a1, 0xddad131f, 0xba571f78, 0x32dc8c06, 0x512e3029, 0xeb44b06f,
+    0xc32cd7eb, 0x4a19ba09, 0x406c7371, 0xb9c80c47, 0xa2ca3329, 0x9d07f3d1, 0x99ed5303, 0x874f6505,
+    0x076099c9, 0xc7d7994b, 0x815347fc, 0x0ee98919, 0x0f4a3137, 0x9648ab1e, 0x7f660619, 0xede3ede8,
+    0x22a3f4ee, 0x8a3b0294, 0x9cb08d43, 0xa5542b65, 0xf76b5dc2, 0x960ec4b6, 0xd2cf07bf, 0x6f9b5f17,
+    0x741177e8, 0xb5727362, 0xf3ed5674, 0xd47f0a3c, 0x2c2a2ab3, 0x5d4fec1a, 0x151b69a8, 0x8bce356d,
+    0x70487785, 0xf2a9c2c1, 0xb1d9e1aa, 0xc2ea7fd3, 0x1b9e55d3, 0x2812801f, 0xc4a0b488, 0x0014a4c2,
+    0x2d661a22, 0x9dcb7792, 0x8c4de2c7, 0x9e13d62c, 0x5d6f994d, 0xd182aa86, 0x3b1a3f48, 0x3fb1f9e7,
+    0xa32ea4e2, 0x92bd3ca1, 0x809fe760, 0x346ea7ab, 0xa6e956ec, 0xc3ff48f5, 0xa07033e0, 0x2a7390b9,
+    0x0614bfd6, 0x5089eff5, 0xec25c28b, 0x7cf33420, 0xd10f06fd, 0x8fe411af, 0xf27abaa6, 0xffa23ae9,
+    0xef4fdd8a, 0x3bccb38f, 0x77585bed, 0xf2fa00c1, 0xff45dc1d, 0xdf5ef3e4, 0xc9c55fd8, 0x62ce0682,
+    0xba23c718, 0x02a65de0, 0x43b7b298, 0x38214aee, 0xa25ef0e1, 0xe92f646a, 0x267ad2f7, 0x4b2b82b5,
+    0x748774a8, 0xa9f6a09b, 0xd1e5e77e, 0x16729902, 0x25344e8f, 0x00e52260, 0x22e8e5e1, 0x35a82464,
+    0xf803734c, 0x8e91f9a8, 0x3734f71e, 0x6443be3c, 0xeec035de, 0xde003b49, 0xb7370a1f, 0x2f5a5a8f,
+    0xb44ea672, 0x901160c6, 0x8ebcabfb, 0x1a2d13b9, 0xe42963a3, 0x0eb49f2e, 0x172aad88, 0x66792e48,
+    0xe644678b, 0xf28bdac6, 0x95b9a886, 0x9c8ec5ae, 0x3bbb1993, 0x1e2527cc, 0xaac3b623, 0x5fadb549,
+    0xb2ce353a, 0x4ea6a5e6, 0xd67a5534, 0xa0bbfb12, 0xa24fe716, 0xf64ea533, 0xaf5504f4, 0x749d492c,
+    0x96cdd0d0, 0xd89c0604, 0x6d5064c1, 0xf451b98b, 0x89f8fd89, 0x50df6c79, 0x9780dda9, 0x6c9ce435,
+    0x18e437e5, 0x0f3f5f2a, 0x89496430, 0x13538f95, 0x459170b7, 0xd5bb1de0, 0x7ebff140, 0xf7328fd1,
+    0x6e889cec, 0x2d511d9c, 0xee63da77, 0x8d706829, 0x7eb319a4, 0xf66addbd, 0x02565711, 0x10a2dc90,
+    0x6a8c609d, 0x3f2b7e34, 0xc79eb766, 0xe952ae81, 0x64597e44, 0x0756b2b2, 0x7ce3f162, 0x347f6bbd,
+    0x276d3263, 0x6ea199d8, 0x08dfa937, 0xff4bc492, 0x9047b9e9, 0x1ac53192, 0x0a9dd31a, 0x01ee1372,
+    0x677985b3, 0x10740688, 0xdafc8415, 0x78b65948, 0xa60fa1de, 0x0e99efd9, 0x1c2f7ea5, 0xb006889f,
+    0x7f5d9552, 0x72130283, 0x65e2c0c7, 0x78e8ba8b, 0x04fae0f1, 0xfda8ccb0, 0x6bb965d5, 0xd230e584,
+    0x52ce4e86, 0xea7a0166, 0x7d8e0e2e, 0x5540b18f, 0x18cd5705, 0x69422bfe, 0xd952f7b0, 0x6fb04978,
+    0x099e31bf, 0x82da0698, 0xe346d5bf, 0xbede114d, 0xd9e56c3f, 0xa5b59292, 0x3415ce7a, 0x8b04c4b1,
+    0xe280abc5, 0x2eaf17d4, 0x24811f60, 0xe1a25cf5, 0x1c289c8b, 0x2f515071, 0xcca548e1, 0xd11499af,
+    0x4a54a54d, 0x072f4f06, 0xa1351026, 0xaf8aa540, 0x03f528b9, 0xd7ac46d4, 0x7751ad45, 0xea16f28f,
+    0xa6a3cfc9, 0x578a4def, 0xf4a80ba9, 0x2d19a335, 0xe803029d, 0x21441d85, 0x9c90de2b, 0x0bbae364,
+    0x4e967a9e, 0x96a69943, 0x04aadd23, 0x4ffe4f39, 0xe2a11ec6, 0x282676c4, 0xed7a64ee, 0xa60bfa25,
+    0x00000000,
+    0xf5346b55, 0xd794236f, 0x38a5e853, 0x83b682a9, 0xc455c18b, 0xf335e042, 0xfa30f4c5, 0xdc92a6fe,
+    0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000003634193621478034452746619039440022671768206803436590301407\
+                          45099590319644056698961663095525356881782780381260803133088966767300814307328 */
+  { 0x00000000,
+    0x05301f04, 0x2223a78e, 0x2379d04f, 0xbb12db46, 0x80f59db6, 0x88d90c2c, 0xebc22a5a, 0x15f2b1f4,
+    0x93753f39, 0x94ecd61f, 0xa0668739, 0xf59801c6, 0x3a6a7dd2, 0xdc7967f0, 0x4270454e, 0x4708fbe6,
+    0x84af3294, 0xfa3195b7, 0x88620103, 0xdb97de25, 0xe0b54459, 0xaebd5700, 0x43d2bd9d, 0xfc47f564,
+    0x829cede6, 0x0066c1fc, 0x027e98f3, 0x27698247, 0x6429ff76, 0x59f471b5, 0xe77e8e0f, 0x4d361531,
+    0xe176f299, 0xd957605c, 0xae02fd22, 0xfc2a4148, 0x0234d1ee, 0x61380b91, 0xf367df8b, 0x5606ddfa,
+    0xa7c577ed, 0xd69c07f0, 0xf747afaa, 0x1e0a4bd8, 0x3d1b70af, 0x168cdf97, 0xcbfe9c63, 0x06411173,
+    0x24f38db6, 0x7fbf0aae, 0xdf9bba3d, 0x41446a4f, 0x4465367b, 0xe8e2975a, 0xa28b2497, 0xef88e68f,
+    0x99766b95, 0xc7f788fc, 0x562a830f, 0x16ba849b, 0xbdad1cc5, 0xa2b755d4, 0x80a7a6ba, 0xd3272f5a,
+    0xd826c5cb, 0x7e6372e5, 0xb6776f9e, 0x975afa06, 0x83f686f9, 0x2d1c638f, 0x0dcebde3, 0x95d0fa87,
+    0xf30d053a, 0x29c145ab, 0x47569559, 0x5dd2896a, 0xd686e621, 0xa28bb28e, 0x19b1f2ed, 0x0219c9ca,
+    0xedf762d6, 0x4c4f7918, 0x3862950e, 0x4139f30b, 0x451ab1ef, 0x5f3b2ab5, 0x995ad222, 0x1cc61952,
+    0x25296594, 0x09a1b0fd, 0x637c4086, 0x8751fa99, 0x5039d1cb, 0x0351a07f, 0xb7221e55, 0x69937b0b,
+    0x342b96dd, 0x89864fbf, 0x366ac82b, 0x06afb2b9, 0x963a8272, 0x76dc11da, 0x9b1e5f92, 0x3f1a94e5,
+    0xbb270e59, 0x595b57a1, 0xc3aa5553, 0x6b1c9405, 0xfc2a4de2, 0xdc280971, 0xae071ff9, 0xc5a912c1,
+    0xcde40edb, 0xbc82c988, 0x398f9d14, 0x6d6559d9, 0xe6afe41e, 0x52a563c4, 0xe1881c5a, 0xe78fed06,
+    0x9191f284, 0x2419df1e, 0xbca43cd5, 0x645ec241, 0xff247d23, 0x336d0b56, 0x39e05a9a, 0xd1f453ac,
+    0x8ccc6101, 0xaf1366fb, 0x76db219d, 0x41ac91d9, 0xc29c81ff, 0x0a33b7d5, 0xa78eda94, 0x037e6fc9,
+    0x6587be59, 0x8a285959, 0xe7d8ca74, 0x33654cbe, 0x4b846441, 0x6b5147a0, 0x77a5d49b, 0xea50e204,
+    0x5e14c66c, 0xe816d54f, 0x27dec931, 0xe456aed8, 0x6b795bda, 0x04edadbe, 0x049eed29, 0x602a17b5,
+    0x2ea20949, 0xa539ba95, 0xa96d52b0, 0x2555ab31, 0xc989fc20, 0xf1b51e57, 0xa688655b, 0xe7a44987,
+    0x600d2d45, 0x0296bfb4, 0xc599a513, 0x5660ff75, 0x595e68bc, 0x1f351e35, 0x5441542c, 0x01781356,
+    0x64b3246a, 0x399043a1, 0xda0cff15, 0xc496245d, 0x168d3148, 0xd53ec560, 0xfcdea201, 0x44cf2369,
+    0x8e123415, 0xebd8a2a3, 0xce801927, 0xbb403509, 0x4b041b6a, 0xc104efab, 0x73deb109, 0xd095aa74,
+    0x55e89baf, 0x67ac2cc5, 0x85824319, 0x5efe3008, 0x348df9b3, 0x0e7128f1, 0xbfe01de1, 0x02cc01fd,
+    0xf07c5624, 0x124308ea, 0xf1b60719, 0x308c4d3c, 0x541542ba, 0x29a50935, 0x1bf55c5b, 0x3cf62d92,
+    0x9baf35d5, 0x8f49c30d, 0x74728abe, 0xe35e05a9, 0xb41115ea, 0x4711066d, 0xe5d11eed, 0x4cd71154,
+    0x26cc705b, 0xc161fd01, 0x0ff418fd, 0xb1a1732d, 0x6c3028bb, 0x62f39698, 0xd9a569a1, 0x3be6cc61,
+    0xff84b6a2, 0x52a92832, 0xe63c1a7b, 0x7a279008, 0xfa828ca0, 0x7117f0c5, 0xdc81c944, 0xd7a19b0d,
+    0x38469a83, 0xa7febb30, 0x87c8e379, 0x333a1a63, 0x87a1fa45, 0x3289d4d8, 0x8235375d, 0xdccaa236,
+    0xbb0100f4, 0x66bf49bd, 0x3ce21d5c, 0x4204eea4, 0x09c447f9, 0xf0746bfa, 0xb8501f22, 0x2948b9c3,
+    0x3dce2ad4, 0x68c2a020, 0x382843c0, 0xdab6ece2, 0xdf32f216, 0x4230599e, 0x854521a3, 0xa5953e5d,
+    0xf617197a, 0x4e22fe19, 0x592be404, 0x44c2711f, 0x0df739f5, 0x9eac037b, 0xf91995b3, 0xc3d2e98a,
+    0x157f7c52, 0x9b73ca1d, 0xc90413b8, 0x08b6fb3b, 0x9a3d6f17, 0xd257a151, 0x734abeea, 0xa7d23fcd,
+    0xd4edb5a1, 0xaaf2fb0d, 0x9495fb6d, 0xab24fb28, 0xb99772ce, 0x6ba22e37, 0x4191e2ec, 0x5906600c,
+    0x2e9eb4e2, 0xe23de716, 0x33b1dbf3, 0xaacc17ce, 0xa9b81daf, 0xbbded9ab, 0xc680f8b1, 0xead85e6a,
+    0x0f82291d, 0x1c056dd7, 0x299258e3, 0x55e1d108, 0x364707ce, 0xac9697f6, 0xb5d5b238, 0xde97d94d,
+    0x0419d920, 0x00e08d71, 0xc887a8bf, 0xb339a594, 0x8da4e008, 0x60b925b3, 0xc582661f, 0x499e9bbd,
+    0x6479a94f, 0x055d814d, 0x3e9694be, 0xeee31c8d, 0xee137711, 0x0adec9e0, 0x111cabd6, 0xd27cf69b,
+    0x1a3a6480, 0x85dab69f, 0x68b85c10, 0x07efbcc6, 0x92e0f760, 0x0920b3f6, 0xdd9c50f7, 0xef20cb27,
+    0x29d62f7b, 0x8d623737, 0x81f617be, 0xd419f75b, 0x25e6039a, 0x0e30a460, 0xe7c8663d, 0x9cb90a8e,
+    0xfe8c4383, 0x3c16f8b2, 0x43f9cf6e, 0x159d7903, 0xea81b4b9, 0x59725e11, 0x326392b5, 0xbdd89925,
+    0xb567d2d3, 0xf72b3b21, 0x92760354, 0x65d21045, 0x0cae4ace, 0x5e266861, 0x3f7f839e, 0x15d793b7,
+    0x0092b066, 0xd047dfad, 0xd4135ee7, 0x49d3a500, 0x22df95aa, 0x00023830, 0xd6f3d333, 0xf8d8a2ec,
+    0x670417be, 0x7c3fd366, 0x56eb57b4, 0x75dfef72, 0x97f3f4d9, 0xdb5db290, 0x07195553, 0xd33c6bfa,
+    0xd1db2f80, 0x47f90417, 0x67fc9938, 0x7d5bc5c0, 0x85926b96, 0x4b8cd257, 0xb14652d9, 0x7851d5de,
+    0xd891f1d0, 0x53be7c66, 0x2a5eff06, 0x1b2d6f33, 0x84d1564b, 0x2a1aa211, 0x8e55c6e3, 0xaac30037,
+    0x90cc801e, 0x4220a2b5, 0xef08b66f, 0xf4d93174, 0x3d718944, 0xbb45b44f, 0x9967da81, 0xb24d67d7,
+    0x0a6a776b, 0x0e855d0f, 0x93e9a43e, 0xb578cae6, 0xade6b9f1, 0x47b0c3b2, 0xae377271, 0x3c57d001,
+    0xdd286c81, 0x1a31a10e, 0x1ebe414c, 0x50795732, 0xe64cbbbe, 0xa70baaf7, 0x57e43269, 0xb9f1a9fe,
+    0x093c295b, 0xe58cbf78, 0xdc5a0af8, 0x9668f1fa, 0xf8dc0bf3, 0x247142a2, 0x67b6510b, 0xb81a9cbe,
+    0x4828cecd, 0xa0ca5110, 0x0581351c, 0x4b10254c, 0x5f277216, 0x0c554f18, 0x1ea58d2a, 0x1f50a091,
+    0x63d0e205, 0x978cf0e9, 0x36832f22, 0x7453febf, 0x15af05e1, 0xbdbe15ec, 0xd9a0c09d, 0x5ca3cc62,
+    0xeb5db738, 0x853ba1b8, 0xcd8c933e, 0xec30d2e2, 0x3d62f22a, 0x1af4c95b, 0x12ce75bb, 0x1bf40c1e,
+    0x298adfeb, 0x483d8b4c, 0x60ff3f87, 0xbe3e2335, 0x86958a15, 0x570cbcf2, 0x661b0a31, 0xe3a1f568,
+    0x1bfcfb14, 0x55bc7694, 0x75d71ef7, 0x7e8abfe3, 0x620bdd18, 0xb7926951, 0x7d2c7151, 0x165e8237,
+    0x5505445b, 0xa2145fcf, 0xa8f82088, 0xf91d5b46, 0x41d5ddb5, 0x35fd9c65, 0x91acd031, 0x0debf2d5,
+    0xe207b1e0, 0xd954435b, 0x0d05ddea, 0x79785193, 0x05d3d5fd, 0xef8b32d9, 0xfb04ce9d, 0x02f61fc8,
+    0x03892044, 0xd3f4a7ad, 0xf3ad61c6, 0xb3f580df, 0x6d93d15d, 0xc76c1946, 0x19b5e454, 0x94212db0,
+    0x4d63da97, 0x2686dfb2, 0x76f482ef, 0xc7565f41, 0xba69546c, 0x354eb466, 0xaeeb0d66, 0x81afb65c,
+    0xee3846aa, 0x3ec59706, 0xfcb75adc, 0xdf8a6c4d, 0x080153d5, 0xbcecc94e, 0xcbd59f2b, 0xe30c8293,
+    0x468d6d66, 0xef28646f, 0x44e453a0, 0x16445a05, 0x6263629c, 0xf71fdcd7, 0x0ccb5912, 0xc4515815,
+    0xeefd111f, 0x2fba3f7c, 0x6bcb0b0e, 0x5ce89689, 0xfebc2b96, 0xaa9d616b, 0x85ac13c5, 0x1dbdbc98,
+    0x7dbd8396, 0xcd77ac02, 0x49326487, 0x04971653, 0xf56b4c4c, 0x4454ab8c, 0xc12ef07c, 0x2582ccf8,
+    0xa28f3970, 0x370b26cd, 0xee01ab77, 0x009a14fa, 0xeee86c35, 0xfadde1cf, 0x2f6a6ef6, 0x316f8909,
+    0x77dd3d90, 0x95d73774, 0xdc296698, 0x0ff16d1e, 0x1250aafa, 0x15c2a412, 0xc04e3f3c, 0xd75bd8e4,
+    0x26edc992, 0xf387c2d8, 0xf86f3831, 0x920e727e, 0x84d8c71f, 0xc817f092, 0x3591b7b5, 0xfab7ee30,
+    0x79d3bba1, 0xb726240c, 0x7639fb88, 0xd344f3fd, 0x5575f0c9, 0xa2e0916c, 0x906f4718, 0xa4f0aded,
+    0x8efc777d, 0xe956e465, 0x4f403bef, 0xe8584f2c, 0x97a16ce7, 0xda653b72, 0xdbd50109, 0x819de29f,
+    0x24c77628, 0xce71c2be, 0x7f6c4411, 0x8aa856d8, 0xfacf157a, 0x93aaf0c3, 0x444bd7b6, 0x03a0c046,
+    0x209bda06, 0x3742f30f, 0x84ad6095, 0x2686f0d4, 0xafb0dfa7, 0xb1da12e7, 0x602a5be8, 0x134bcf1a,
+    0xcd773735, 0x5f4284e9, 0x652e4bba, 0xb999b7eb, 0xb77d9a3c, 0x186e38e0, 0xa06c5ca1, 0xb19f0299,
+    0xeaa9c277, 0x6f8de124, 0x38f0e345, 0x27fd59ba, 0xb301be33, 0x57503f4f, 0x47f56d6f, 0x37456511,
+    0x8b587d0a, 0x89c5b4cc, 0xf332aaf1, 0xe2b6f6a8, 0x9b5f7af9, 0x21415eab, 0xa957a06e, 0x0611e703,
+    0x278b2396, 0x609b2eb7, 0xa9809422, 0xf20722db, 0xd6947c58, 0x174063f1, 0x22989f1d, 0xde981449,
+    0x3743d482, 0xdf65f7d4, 0xf149928e, 0xac01b5ad, 0x9bda28b5, 0x1a9412a8, 0xabd50306, 0x03b1ceed,
+    0xcbb6dd4a, 0xbc8a5537, 0x8d64650e, 0xb6afdf81, 0xe320bc18, 0x322ab983, 0xa6e91b35, 0x6159c77b,
+    0x45065059, 0xb9032a16, 0x88f2427b, 0xdfbc5044, 0x09f161e2, 0x3203f3ee, 0x67b61130, 0x81fa3fdc,
+    0xbf8860ea, 0x5ad5bdb6, 0xe6c11617, 0xea158460, 0x53d4f35e, 0xfabc2a89, 0x9cae777e, 0x2cb0e33f,
+    0xfd73e370, 0x4a5c5c81, 0xc20b36a9, 0xf2ade0be, 0xdb11d8bc, 0xa212b611, 0x8c0a714f, 0x5ae5c556,
+    0xc80e81ad, 0x64f40cc6, 0xbd9ee115, 0x730f214e, 0xb1e07aad, 0x88249a84, 0x9befd845, 0x512da541,
+    0x2058e11d, 0xa04f2b7e, 0x8c949d4e, 0x4c22a552, 0x47293f4f, 0xcc2560d9, 0x9fd46d20, 0x1a76afd9,
+    0x3d25d86b, 0x5bd86b1b, 0x41fce452, 0xa0737531, 0x9a0703e1, 0x10ecdf71, 0x136f7c54, 0x3601418d,
+    0x02495654, 0x16e8cfab, 0x7659599f, 0x4a505456, 0x0b63054a, 0x1a572d2a, 0x41b10e53, 0xcb81e42a,
+    0x13ea906e, 0x2b9f106d, 0x2c8ba371, 0x633bf26b, 0x1fa4cffc, 0x6869fe40, 0xcf1d4552, 0x039f3d23,
+    0x1e8048b6, 0x64d0fb37, 0x73eba740, 0x9ab921b6, 0xd345953c, 0xb916a346, 0x64014191, 0xf630f002,
+    0x79580631, 0xca0cef6f, 0xdffafe74, 0x4630a9ba, 0x827bde4e, 0x88779228, 0xc4c6b9e5, 0x5665e978,
+    0xc3f92e7b, 0x0496cf52, 0xf810d77f, 0xd8a212a1, 0x73d44bd3, 0x02193684, 0x1accb845, 0x41759fb0,
+    0x0fb09d16, 0x7c6adcbc, 0xd0997633, 0x8a528aee, 0xb00d77d9, 0x61123bfb, 0xbb875cbd, 0x749bc377,
+    0xb91a8ce8, 0x309a9ccb, 0xbe72ff9e, 0x65a8e17d, 0x0835c0e9, 0x24b7d212, 0x67823b2d, 0x109d71a5,
+    0xc0a66232, 0x41185049, 0xc4e11f99, 0x9bfeac36, 0x30fb10d9, 0xe64e88d0, 0x89084e7f, 0x0d08c4af,
+    0x36bb1ba7, 0xb8496896, 0x098369cf, 0xcb92ddcf, 0x8f2e55c5, 0x847b2f99, 0xa20ece7b, 0x3cf0ea02,
+    0xe2e3a46d, 0x15b85c5e, 0x9f5f0b52, 0x8a76607e, 0xffaa4dda, 0xc9168f4e, 0x5d949bb3, 0x42617ee8,
+    0x12206b5f, 0x84ab547a, 0xdedaa886, 0x65c38858, 0xf7212c11, 0x06f5be7a, 0x6f7011c5, 0xea27683e,
+    0xbd4e3a3c, 0x47596274, 0xe5028d72, 0xd59ad5ee, 0x9c55d8cb, 0x7c7c187a, 0x7fba6e3b, 0x0d7b780a,
+    0x6698f9b1, 0xd535dd71, 0x20ef0179, 0x354f00ac, 0x79fc6c4a, 0x3b805d51, 0x8836b37b, 0xcb7895ec,
+    0xfebf753a, 0x1f3787b1, 0x9c6aa372, 0x603d0671, 0x722e62e5, 0x867c0415, 0xd08be66e, 0xbe6d7824,
+    0xca99d1a9, 0x77576d49, 0x352e04a7, 0xa6cf04f1, 0x817a5211, 0x06fca1c9, 0x6166832a, 0xb8db20cd,
+    0x24de25b3, 0xc1acfc52, 0x6b315cea, 0xc5ea0b4f, 0xdc7bb30c, 0x305aefd6, 0x09e70cf4, 0x5dded9f2,
+    0x63573ab2, 0x2e747849, 0x491db876, 0x4fe9b411, 0xc4b385f8, 0x4d70f7e9, 0x6c97305a, 0x45367877,
+    0xdb9ca9d4, 0xdbd4ddf6, 0xbcef66df, 0xa0db15b1, 0x949d5161, 0xc295e0dc, 0x321569d9, 0x5d32a7b1,
+    0x08283756, 0x39dc86fa, 0xa46a89bb, 0xd75f9c87, 0xfccaa156, 0x43a38c00, 0x045db912, 0xcc941d28,
+    0xc41afcd6, 0x4a5ae3d1, 0xffdef9a1, 0xa2955d81, 0x6c1d80fe, 0x86fcd9bd, 0x20cd74d3, 0x1e756b8a,
+    0x604018ad, 0xb43d82a9, 0xa2eeef3b, 0xe745accb, 0x3ae885d7, 0xa8038715, 0x9c7757f7, 0x87840afc,
+    0x99b6e435, 0x95a7bffa, 0x3e56ad42, 0x42120787, 0x69f19b01, 0xf24d16ad, 0x490a47d6, 0xc173b93e,
+    0x461901c6, 0x3e2d09b4, 0x8642e25d, 0xb26f349c, 0x8688889c, 0x5737ae7f, 0x4b08a1b0, 0xbbdefedc,
+    0x20621c69, 0x8effc8ed, 0xed13b4be, 0x6955c8de, 0x60d0ed02, 0xd4f68701, 0xdc87b974, 0x2e21299b,
+    0x3171233c, 0x134dfd0e, 0x200449ad, 0x60313332, 0x9d2c6b4e, 0xfb034147, 0xe7e38e9d, 0x5280bf1b,
+    0x889c13e0, 0x220b6eed, 0xd076a804, 0x00c2e005, 0xc58c41c8, 0x0c97e610, 0x51091cfb, 0xc574e984,
+    0x9189ac36, 0xacb9c8c8, 0x6cfd2cba, 0xb69ae587, 0xf2d4edbe, 0xc7651062, 0x32e47633, 0xebb7d568,
+    0x319b8577, 0xcd0aff33, 0xc3bbca53, 0xf7bbb6bc, 0x658ae4e5, 0xa7a9f2f1, 0xbc770599, 0x14f1a7b8,
+    0xa6a2d22e, 0x55cd07e5, 0xfa23005a, 0x0064461e, 0x61553002, 0x6c8bedf5, 0xa065aeea, 0xd3ea2332,
+    0x1649cae7, 0xd3071e5d, 0x54907316, 0x3fcdd640, 0x785f51ba, 0x57196111, 0x6af3e7c9, 0xce67667a,
+    0x41166162, 0x6e020ade, 0x750e3856, 0x09ce6a18, 0x5f808b64, 0x67d72d8a, 0xd8b42fa7, 0xa9b4dbd4,
+    0x7337029e, 0x383e8849, 0x65b4debe, 0xb5937de6, 0xb6c649b3, 0xc7400978, 0x2b9a2bcf, 0xe04b3a05,
+    0x69c7ef91, 0x09e6e028, 0x137b037f, 0x12eb46b6, 0x13b7b46b, 0x63da1db1, 0x372a11b6, 0x34da9b55,
+    0xd2d80e3e, 0x02758252, 0xe902a2b0, 0xb2cab38d, 0x12803994, 0x983c46d4, 0xd4d7bc10, 0xe744f30f,
+    0x6bd3661d, 0xfea67fa3, 0x5cc60e9e, 0x2553eaee, 0x7c7574d8, 0xc5160662, 0xc83e6db9, 0xf1af890a,
+    0xa6ffeee8, 0xf45a2e2b, 0x29e6c28d, 0x6787583c, 0xba19e73f, 0x0d4150a4, 0x56cc16c8, 0x9a6fcd65,
+    0xc13bbc37, 0xdecbeac7, 0x24e9492d, 0x67bc9ca4, 0x4d65ce32, 0x4f31ab15, 0x5ebb3039, 0x7d5ffdfd,
+    0xc00d6cb9, 0x2647afeb, 0x8bac4a5b, 0xf07e91c8, 0x369a1a43, 0x59a82f14, 0xcafadc87, 0xf549a7c0,
+    0x4666b152, 0x2fe383fc, 0xaf9c51d0, 0x646def2a, 0xaf6b9e0b, 0x48f64066, 0x7312001d, 0x3e613506,
+    0xc19df4d1, 0xf0aa9b9b, 0xdb715fd4, 0x9f700aad, 0x68b64479, 0xead7982c, 0x35094c49, 0x6377403d,
+    0xd93a7224, 0x14c1ef72, 0x80e33904, 0xd7c756d8, 0x9980d62e, 0x78b4fc2e, 0xeab2e13e, 0xdb85493f,
+    0x33bf1058, 0x485f98f8, 0x560a46c4, 0x4b60d287, 0x4701694a, 0x4ba17c2d, 0x8e348091, 0x0412a823,
+    0x7eb03270, 0xdf2e7723, 0x67b45c95, 0x8ceb52de, 0xa0c4b8fb, 0x8f3615fd, 0x9587946f, 0x7f7e66ab,
+    0x8a657ce9, 0xb554336e, 0x0b40243c, 0x1c5ba489, 0x41cf8671, 0xb86d557a, 0xa9a9cba3, 0x91c9981e,
+    0x00000000,
+    0xfa9a35aa, 0xebca11b7, 0x9c52f429, 0xc1db4154, 0x622ae0c5, 0xf99af021, 0x7d187a62, 0x6e49537f,
+    0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000001817096810739017226373309519720011335884103401718295150703\
+                          72549795159822028349480831547762678440891390190630401566544483383650407153664 */
+  { 0x00000000,
+    0x0db35ed2, 0xfbd8fa98, 0x898843e8, 0xcf5f8dc8, 0x8413e730, 0x533616ca, 0x2729048f, 0x6d375b0e,
+    0x1e4b07d5, 0xa6698646, 0x84836813, 0x077c2b77, 0x3f4950b0, 0x7498c229, 0x6d3b3036, 0x51d5b48d,
+    0x260586a8, 0xf5d8fbf8, 0x5505fc5c, 0x6aeabac6, 0x33a350f7, 0x856c46b4, 0x6264a136, 0x48c7c1b4,
+    0xe7ad0215, 0x720bbe93, 0x3868f2fd, 0x15bad588, 0xd31781d7, 0x78d40839, 0xb101ae43, 0x851984d0,
+    0x9e80b8ec, 0xbd7b0665, 0x6544de20, 0x91b0eee1, 0x04c0f6ac, 0xa9cd8dfa, 0x3fefe988, 0xce57ed91,
+    0x1a9ce7a7, 0x26255658, 0x7f48c3a6, 0xb32b3870, 0x30e3b13d, 0x611374be, 0xde2b3a1f, 0xdb814ddf,
+    0x1dc63a1c, 0x9b511513, 0x57599bdf, 0x665a31d6, 0xc9a72165, 0x14a4e4c1, 0x385eb425, 0x6f132fb0,
+    0xd21b23bb, 0xb6c706c1, 0x7839b280, 0xc3b88443, 0x0b1c2339, 0xeb17a908, 0x62de8e6d, 0x2e5a7195,
+    0x8d9dee87, 0xed0adb29, 0x9619757c, 0x819f4ab1, 0x188af184, 0x2795a639, 0x160bad6e, 0x5c662f39,
+    0x7ad8e562, 0x6f38c7c2, 0x72fb9fe8, 0xa9db8c7e, 0xa91646f1, 0x72722694, 0x8178fcdb, 0x5c026a59,
+    0x5752ff2f, 0x1d46ccc2, 0x3be465a1, 0x072533ca, 0x50b9343b, 0x601d43b6, 0x8ae3c599, 0x51fda394,
+    0xbf232ea6, 0x10fb6aaf, 0x704169e1, 0x7054898d, 0x9c53b391, 0x0d030c0c, 0xf61745f3, 0xe61e5cb6,
+    0x87fa954b, 0xff3ff314, 0xc228ddf3, 0x8e80de36, 0x9042f266, 0x90ebbf72, 0x6ad27a85, 0xdff02ff1,
+    0x2da62ed0, 0xf75f565f, 0x96b3b7c0, 0x6da480c0, 0xec2ceda9, 0x129ec541, 0xdbc44938, 0x22a0ce16,
+    0xd58dae1a, 0x8370f54b, 0xf4514d13, 0x27f4f1aa, 0x56f57e5c, 0x1047da78, 0xeb347549, 0x520ab408,
+    0x925cb4de, 0x8148096f, 0x41a8f0db, 0x368b4e36, 0x2d17fc2a, 0x743c3c0a, 0x728ca23c, 0x35bd4b88,
+    0xf4697011, 0xfbf6860f, 0x15c23083, 0x9d0ec565, 0x647ff03b, 0x2763c6a7, 0x96134121, 0xc7f67132,
+    0xa3ed5d3a, 0x67e3e54a, 0xe1e9a34f, 0x42b63dfd, 0x9ea4ad78, 0xca4fdb05, 0xd2190f46, 0x207f9904,
+    0x9d2d6032, 0xec2b8417, 0xdb69ab21, 0x7813066e, 0xadf13502, 0xc6d7aead, 0x401145ea, 0x88c94bc9,
+    0xf785a777, 0x7870cf7f, 0x2962c9d6, 0x25dfb630, 0xbee0ca8c, 0x6222a500, 0xadea54c0, 0x0cd288a0,
+    0x1002a787, 0xcdddbc89, 0xb6a9919d, 0x3b2a097c, 0x5ac51b27, 0xe3798331, 0x4173db84, 0x5ea56b55,
+    0x70baed22, 0x2a088c3d, 0xb4833ea0, 0x604da967, 0xa6673ec0, 0x8011f193, 0xf035e86c, 0x3dd0f7bb,
+    0xdcfe1271, 0xee300d9b, 0x2ba00452, 0xf42a048e, 0x9682d225, 0x00a1a3ac, 0x44fd2bcb, 0xa3d79fe8,
+    0xe185dbc7, 0x8fd818b9, 0x58f7e647, 0x4d811b64, 0x540e0028, 0xc28ab168, 0x929f8720, 0x9b3d4adf,
+    0x1e7b90c6, 0x96f7525b, 0x345bbc22, 0xf3d933af, 0x386c3c57, 0xdfb90c60, 0x2709d659, 0x61257905,
+    0x436da058, 0xfc6ed4e5, 0xcdbf4d8f, 0xb7668117, 0x68a25f41, 0xcd61476c, 0xbcb02e61, 0x9f763541,
+    0xdb4b44b4, 0x6c42081f, 0x5fc2edd0, 0x9f8fcf06, 0x9d098351, 0x235eb45f, 0x41639686, 0xbdcdf89c,
+    0xff2708ee, 0x9ba20753, 0xfd1a559e, 0x4c357406, 0x8fddfcc6, 0xef5ecce8, 0x08cd6604, 0x0c2603ca,
+    0xef3038cb, 0x13de29c7, 0x0c5716e3, 0x31692266, 0xd5b5b194, 0x670450c4, 0x95c358e9, 0xb75ee555,
+    0xea572f53, 0x6dfa132f, 0x022604a6, 0x35c5f0fa, 0xd0aaf4c3, 0x482cca96, 0x1e8f6a3b, 0x9c8255c0,
+    0x1c50ee09, 0x4cd3b74b, 0x82e1e550, 0x62d1637a, 0x602cfa5d, 0xc9da4b1a, 0xae5361ae, 0xf1087819,
+    0x42bf91bc, 0xfe02f36a, 0x187709ea, 0xcaf5a587, 0xddb12b7d, 0x9e517c20, 0x1077f569, 0xf60b9015,
+    0xf7f36732, 0x3ee7503c, 0xfcc06be1, 0x7e3e9183, 0x67b227d3, 0x2fd71beb, 0x2e3f9de7, 0xd803066f,
+    0x8075bca8, 0x1aee429a, 0xd085bab0, 0xd3f726de, 0x585a7fad, 0xa302bb14, 0xf0fbb953, 0x407844a3,
+    0xf05f66d5, 0x8b06115d, 0x9862da1c, 0x84571094, 0xb08bb55d, 0x40cd4eaf, 0x2ab19ae6, 0xd49a3ca2,
+    0xcb5e84db, 0xa38fd86b, 0xd54e94a3, 0x10651641, 0xb0ccef32, 0x764288cc, 0xf2a7e964, 0xf182fad4,
+    0x8e11ee73, 0x04e00279, 0xadab7d4c, 0xe44b7556, 0x6e7a724a, 0xf9cbf520, 0x17c4e7d2, 0x2b496204,
+    0x0eabfc2e, 0x3c421c0a, 0x3963d5d1, 0x718d0e54, 0x65db0034, 0xa509d25a, 0x7e29fc20, 0x138d5fb2,
+    0xfece9936, 0x0afee5b1, 0xc51c781e, 0x03bd4335, 0x91f05440, 0x7f912d48, 0x1bdde727, 0x4edaa688,
+    0xb3f10de6, 0xe4f02335, 0x001cefd0, 0x424dcfb8, 0x589f755e, 0xbc71262b, 0xdb6f370a, 0x8b48daa8,
+    0x5b59170b, 0x17687de9, 0xaa1759e0, 0xad6a9118, 0xc71b31ec, 0x7a6ac9f7, 0x34c5b35e, 0xd813a51e,
+    0xb3faf5f1, 0xa356e533, 0xf93e0edc, 0x20b84aab, 0xf3893472, 0xee359d52, 0x4e7ead25, 0x219f5a6e,
+    0x8133a340, 0xcf78df73, 0x615cb999, 0x21e4ecf9, 0xa56dd6d3, 0xa27e96f1, 0x7057b4e4, 0x27651dcb,
+    0xd66aa7d7, 0x66d67b4a, 0x336b398e, 0xeadd36dc, 0x170e5a6b, 0x7d168f5d, 0x35cacecf, 0xead5f12f,
+    0xdeb8590d, 0xf4d4f833, 0x1c09a833, 0x91e4aca6, 0x2754d9d4, 0x03722c88, 0x40489200, 0x2d40ed61,
+    0x36de8cc0, 0xcf1bd308, 0xebed92bf, 0x1efa86f1, 0xe74b0dc6, 0xc61eebe5, 0x8baca701, 0x96b99515,
+    0xc162b1c6, 0x71be0038, 0x5df6c7bc, 0x5eb590e2, 0x19e204fb, 0x91c357d9, 0x1c09c010, 0x5121466f,
+    0x13bd3afd, 0x78edc68c, 0x20bb2100, 0x89ddc116, 0x45c268ce, 0x0c7b205b, 0x27803dbc, 0x653ef352,
+    0x025b690a, 0x2d2ff24a, 0x2fcb9ad1, 0xc8068261, 0xcd558df1, 0x8b072d86, 0x1390982a, 0xd1481605,
+    0xd8c252b7, 0xd0d9a093, 0x61757727, 0x9446ac51, 0xddb85ddb, 0x64d12181, 0x6c310ad5, 0xce347e72,
+    0x9f7a93aa, 0x37a428c2, 0x772dbba2, 0x151a0902, 0xbb276e5f, 0xdd57b2fe, 0xd59b04f3, 0x5cced130,
+    0xd0594f27, 0xc0739256, 0xdc30c3a9, 0xbc8edecf, 0x7e282890, 0xe9f68c19, 0xcd88dc4a, 0xb8a28b24,
+    0x5c42c243, 0x8113ab8b, 0x3b699801, 0x784e9d12, 0x07f0bd4a, 0xd70721dc, 0x9a080d13, 0x9f6dfe5b,
+    0xfb072010, 0x8e215102, 0xae31afb1, 0x3d6c1b89, 0x57c3cc9e, 0xc00caafb, 0x347d3400, 0xceca1f61,
+    0x58a063b8, 0x38fe04db, 0x4e8fe8f8, 0x4bcdc7b6, 0xbf762de2, 0x59105e0a, 0x174cfccd, 0x3be0139a,
+    0xf8346350, 0x415de2ec, 0x0e54d5f2, 0x135b5872, 0x5f133fb6, 0x68074c0e, 0x2a2f7896, 0xa26aa727,
+    0xf7055731, 0x58761d5e, 0xea4a3ad2, 0xf784821e, 0x5991abb5, 0x576b6017, 0x426b887f, 0xf341c357,
+    0x666a8b98, 0xaf4c2d9e, 0xd9ac5901, 0xbf44bd3e, 0xd6726b05, 0x510bc7af, 0xa1b391eb, 0xead5cddd,
+    0xf02a78d6, 0x0f79c38c, 0x5dc18d09, 0xa9b3de8c, 0x1f623ac6, 0x77a8f968, 0x24dde433, 0x39fb832e,
+    0x17466e85, 0x8f143037, 0x4a5df395, 0xe3067829, 0x649544e4, 0x6e93c3e9, 0x4653884b, 0x755218ca,
+    0x4c899dcd, 0x4a8bdf97, 0x1ad0323f, 0x56b9a464, 0xbcc69df9, 0xd75ebd57, 0x5bd75e1f, 0x9458badb,
+    0xafe24d01, 0x397d7417, 0xa3b08a5c, 0xecf57e14, 0x3781933e, 0xfdb26bd9, 0x4329f8b3, 0xad8ff8b7,
+    0xee8ff7fd, 0xc5cf76d5, 0xa084b738, 0xe72d3a42, 0xdfa9e272, 0x3a86e5f3, 0xf4fb6018, 0xfeb8aa56,
+    0x1e787bbc, 0x3266d5b1, 0x24f0fc5b, 0x8beaf6c0, 0x6d47ab06, 0x1fdacdce, 0x12565efe, 0x934574e6,
+    0x8a397c62, 0x499f4391, 0xb8b80fc2, 0x8d3e55a8, 0x25c8ad0a, 0x5020ac2f, 0xc20e4e13, 0xb266c124,
+    0xc3efdd3f, 0xf6ad0ac5, 0xe389e36f, 0x18d9d617, 0xdc344364, 0x1cf0b0bb, 0xbab26233, 0xea4b6099,
+    0x9342d38d, 0x56ef1289, 0xde24788b, 0xb7321495, 0x909d7bf1, 0x396e7ddd, 0x4c939466, 0x2df207bb,
+    0x9f65f4cb, 0xd1100792, 0xb18fa19d, 0xe060a007, 0x42a29d2b, 0x4fa31e49, 0xf69901ed, 0xf9f8d6b7,
+    0xb160c4b9, 0x486a00e9, 0x5be82b98, 0xe31e7d0e, 0x01194270, 0x6498b564, 0x9c0e9232, 0x738d1332,
+    0x15d96833, 0x2e760e58, 0xa72a52de, 0xcbee389f, 0x6c7cfe59, 0x5900d2cf, 0x4c53014f, 0x3bb2d637,
+    0x4e1d296a, 0x6561df48, 0x4e4095c6, 0x652eeb97, 0x6f07abdd, 0x07ff8c15, 0x73b09e2d, 0xc53ca85b,
+    0x1cc33fb9, 0x8b994857, 0x9d7a7815, 0xca0118c5, 0xfe7793b7, 0xca9adbd5, 0x9b1610e4, 0x7c4902ed,
+    0xb63fe841, 0xe1304435, 0x42919db9, 0xc3b8c4c0, 0xf2e8fa54, 0xa17f1800, 0x056fca1c, 0xd5ec2149,
+    0xb0729dad, 0x078de28a, 0xbb169779, 0xdd2d378a, 0x761db1e1, 0x0e9eb83a, 0xb2f8363c, 0x0cf44138,
+    0xe681f4be, 0x3559fc5b, 0x82703137, 0x27e2878f, 0x55b5a2ed, 0xe099e8dd, 0xbc57aacc, 0xcaa6dbb4,
+    0x03e8df8b, 0x0ff37abb, 0x6f68dd78, 0x6cd47f7e, 0x7b312029, 0x352e19b3, 0x4fb3814d, 0xf2aa15c4,
+    0xead2f9f6, 0xcd001cbb, 0xa4a15308, 0xb1dec493, 0x9fe5ddf6, 0x7f82e8a4, 0x0f611924, 0xac9b0acf,
+    0xe9591183, 0xf078cac3, 0x70520632, 0x5cf42053, 0xa1d9d6c7, 0x7e4814b9, 0x56a2f9a3, 0x8178c82a,
+    0x31a1e043, 0xb4502985, 0x7872b79c, 0x72c3605e, 0x0613a5a4, 0x8e94f8ae, 0xb3a31e6d, 0xbff963ee,
+    0xdba6424c, 0xe7609369, 0x766474d2, 0x41ef2101, 0x70fcbb1b, 0xfbeda1bc, 0x41aa2fd2, 0xc8460d6c,
+    0x3b777494, 0x505e3ccb, 0x4bcd6aba, 0xf67f0ff9, 0xd0e55bd5, 0xdf3d1cd7, 0xaa78d001, 0x5f4aa68a,
+    0xc81b827f, 0x08ba096a, 0x9e9161f8, 0xa5f6f346, 0x5ecd2f7b, 0x8c20ff0b, 0x66dd9900, 0xce7af645,
+    0xc4076829, 0x2b03adc8, 0xa88ee50f, 0x8daf1d6f, 0x51f184dc, 0xa7f0f55f, 0xd999bcbd, 0x9b83db2b,
+    0xb1c37eb3, 0x42e07a5a, 0xc52ff58c, 0x7a5fd569, 0x323cdee0, 0x72d2b634, 0x3b33e312, 0x53a59d34,
+    0x03d29102, 0xe304698e, 0x5e6d25b3, 0xb436d5aa, 0x48c4d23b, 0xda8adacd, 0xe9851e39, 0x3f6e83ed,
+    0x19080649, 0x99c47b78, 0x7b060b52, 0x4057bcbf, 0x78855633, 0x7452a047, 0x4211349d, 0xc7a933c0,
+    0x5113cb8c, 0xda4f7e44, 0x712ae69c, 0x67965980, 0x9a6e6264, 0xd9ec0112, 0x32c51503, 0x3e90d12c,
+    0x2a6ad982, 0xe8e622d3, 0x6e36abe7, 0x9fd9af45, 0x1e3b1d68, 0xce756595, 0x8b29ce3f, 0x97f036b2,
+    0xe62738f2, 0x440b0682, 0xa5328f50, 0xa0eb0e06, 0x04b700f1, 0x58f72132, 0x6555946a, 0x6a13bb76,
+    0x2fe67eb1, 0xb7ff3d22, 0x1b78d942, 0xdb3399f8, 0x0311e2e1, 0x842e4517, 0xd2b202d6, 0x703ea458,
+    0xd5c788be, 0xfad617f4, 0xa001dbb7, 0x359faa83, 0xbe1074f7, 0x43dbc34c, 0x5a7f7da7, 0xcf7fea03,
+    0x544a73f7, 0x85394f25, 0x49158c49, 0x143bacaa, 0xb3e35e1f, 0xc61aee00, 0x2cb69df0, 0x72f33172,
+    0xb0de4e02, 0x0c5bdccb, 0xda85aedb, 0x3ff9f059, 0x02228ef3, 0x93edd6bf, 0x42f5ac4a, 0xe10895ea,
+    0x8727f8c5, 0x3fdea3da, 0x2dcb1c91, 0x831f77fd, 0x1927b023, 0xac3b0c66, 0xc71770c4, 0xbcb3d89b,
+    0xbebb0eda, 0x423911d1, 0xf816e677, 0x47b68bc4, 0xffb7ebd9, 0xbee270fc, 0xa0f1eb3f, 0x0862d49f,
+    0x7f504441, 0xde24e8aa, 0x756d63af, 0x7007da3c, 0x02d3bcd1, 0xa384bec6, 0xf6e14cd9, 0x996413f0,
+    0x82c5412c, 0xcaaa021b, 0xab2a5dd9, 0x17af43b6, 0xe1e5e239, 0x07eed857, 0xee9c8fe7, 0x53957975,
+    0x7a939f99, 0xc89dfa6c, 0x70032125, 0x8d97204f, 0x4aad2e04, 0x8eabdcfd, 0x5f4a234a, 0x61747166,
+    0x9d19154d, 0x54b747d4, 0x2a2956bc, 0x935c93c2, 0xe8054be0, 0x13f80f71, 0xb58e30b2, 0x5aaa18fb,
+    0xe907a2a3, 0x65b49fe5, 0x38d6889e, 0x17fa263a, 0xfa1836a8, 0x43bb662c, 0x286a9496, 0x9f012623,
+    0x9e2bf635, 0x01cd50bf, 0x7c21b42a, 0xbe7103bc, 0x3aa88b79, 0xe197afe9, 0xb8f7b411, 0x2d31fd8f,
+    0x93583a98, 0xefee0bfa, 0x34774b04, 0x6e8333bd, 0x7631a677, 0xf6a6e07b, 0x3751f4b3, 0x4a610f00,
+    0xf16e4196, 0x5806caf4, 0x74ce3b67, 0xb622540d, 0x330c56a3, 0x1f2b2314, 0x007d7d39, 0xde28f675,
+    0xd1691b37, 0x80021cc7, 0xc3221b2b, 0x97301661, 0x2a0414db, 0xfaaccd01, 0x8896da6f, 0x0bfb3d4c,
+    0x5f77b107, 0xb722dd51, 0x5a315c3b, 0x3ec8c14a, 0x4fe7995d, 0xf39bafe2, 0x7d90bc0b, 0xbc55dc01,
+    0xe9c08e50, 0x45725b2e, 0x1f54a9b4, 0x27da6ad1, 0x689cece4, 0xcc0ec578, 0x0015658c, 0x37ee036e,
+    0xcc7d32a5, 0xe9b967bc, 0x6f426096, 0xb753464d, 0x41b7da79, 0x71c236a3, 0x30de3f13, 0x2a620b9c,
+    0x8f0e4256, 0x907b6486, 0x3710a190, 0x7a02973d, 0x4227b9b3, 0x2e075f05, 0xa12b6782, 0x01e3e6cf,
+    0x777e5c7f, 0x68224ffd, 0xe953a6f4, 0x20115110, 0x6f3c1d9e, 0x5af8d897, 0x0c2bc7c0, 0xd2cec786,
+    0xd3328ff1, 0x56150e6d, 0xb986e316, 0xdc8076e0, 0xf487b160, 0x84e7ec53, 0x4e932391, 0x46e90adf,
+    0x7762287a, 0xf6836b6e, 0xf994cb62, 0xb0b7fabc, 0x33874cc0, 0x3db77bab, 0x4eff17b7, 0xe30e51e3,
+    0xcc8f7d21, 0xfd04ac52, 0x3f661e4e, 0xe8d6a855, 0xa268f80d, 0x5de9820f, 0x0328068d, 0xf76b2dc9,
+    0x7a450e83, 0x3f1ed3f0, 0x8243ef7d, 0x7850f658, 0x8b42014e, 0x53c3d68b, 0xc0759b9c, 0x4d96b0ac,
+    0x30c90110, 0x07664bce, 0xc04e6b3f, 0xd01603b9, 0xb9120dbf, 0x6a4bdae5, 0x1dde644b, 0xa0cdb0b5,
+    0x2d24db91, 0xb0bbba59, 0x03af95b1, 0xa997e801, 0xfcc64ac5, 0x14533ca3, 0x7bb71b69, 0x0d2cb65f,
+    0x85f81664, 0xfb31f01d, 0x80d657d1, 0x5f6e7b8c, 0xb4d4fb6b, 0x7dbc5d67, 0x4d80b8fe, 0x6fd54124,
+    0xbfec525f, 0x8dca7c80, 0xbe8618d8, 0xd85fcb2e, 0x17a6433c, 0xe8abec8c, 0x4b32350f, 0x9fa6d10f,
+    0x7af06881, 0xc632bc06, 0x7a1f572e, 0xb845d17b, 0xd0130965, 0x29ced5b2, 0x804029e1, 0xd18d3eff,
+    0xf1ff1ca2, 0x5a91f34a, 0x462d6d95, 0x8070efb8, 0x256349c8, 0x69fc4a04, 0x3043cb94, 0xbfc720e6,
+    0xe2cd5fd5, 0x5999ba20, 0xefb7d818, 0x76b23a75, 0x96e632d8, 0xa48717ad, 0x73cc89f0, 0x94ad95e5,
+    0x39049ba0, 0xd6b3001f, 0x4f9f194d, 0x48f4caed, 0x71796ca4, 0x05b99637, 0x09679f7a, 0xbf5fcc53,
+    0x42a28199, 0xedcfd7ea, 0x51801718, 0xdf9809f1, 0xb020334f, 0xf911b501, 0x5105c14e, 0x43b5d50e,
+    0x99eda8e1, 0x1d366172, 0xcc54d698, 0x9fad6fd5, 0x0a98cc22, 0x9e10388d, 0x18bd5054, 0x6c374499,
+    0xea105bc7, 0x9686c923, 0x944e41f1, 0x703dfbae, 0xaa66ba56, 0x64c9e719, 0xc2e40edd, 0x189687b7,
+    0x8f434e27, 0x1ab7abde, 0xcea1ec29, 0xf0429f8e, 0x5e434f56, 0x3ef65a0b, 0xea401d8f, 0x751ecb2f,
+    0x7d53d8c6, 0xc6c04d84, 0x2ff39e7f, 0x0dd41717, 0x1a7a8a08, 0x27a5f909, 0x5560395b, 0xc1301f38,
+    0x00000000,
+    0xfd4d1ad4, 0xf5e508db, 0x4e297a14, 0xe0eda0aa, 0xb1157062, 0x7ccd7810, 0xbe8c3d31, 0xb724a9bf,
+    0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000908548405369508613186654759860005667942051700859147575351\
+                          86274897579911014174740415773881339220445695095315200783272241691825203576832 */
+  { 0x00000000,
+    0x286cf059, 0xb3382205, 0xc30bda3b, 0x4c7b1069, 0xd2a62030, 0xf2c3dfa7, 0xe32f98c5, 0x8df788d1,
+    0xf5e19956, 0x5d01e855, 0x96ad9137, 0x166247bf, 0xe0955d8a, 0x7d4938ca, 0xfcec3d1a, 0x9ab8323a,
+    0x66d98e5a, 0x7462a404, 0x9c966e07, 0xa945c151, 0xb8519377, 0xfaa61dbb, 0x1f9fa189, 0xd56c2d1a,
+    0xd48f5d1a, 0x495099d1, 0x10e89c24, 0xeb119d82, 0x295108de, 0x9cce4c6c, 0xd2f98d3f, 0x5975d007,
+    0x1105c8dc, 0x8e0804f1, 0xe58f39ce, 0x74030b53, 0x36a1350d, 0xa4727a1b, 0xe4dd59ea, 0x99dd04b5,
+    0x1f29478f, 0xd2ee999b, 0x30a88ea7, 0x54cc30f2, 0x98f7ddd7, 0xd01470d7, 0xda44e428, 0x9e943478,
+    0xfb6de479, 0xe2334ae4, 0x435627d4, 0x6a0e8b10, 0xff6b7a87, 0xcdc89b3c, 0x104a879c, 0x03d205ca,
+    0x5aa0b1e2, 0xd8159943, 0x7221f939, 0x2d39545b, 0xba549d19, 0x62413ae5, 0x0a6a1563, 0xec701744,
+    0x856c0fe0, 0x0365ae5c, 0x7b78db47, 0x318b82de, 0xc639a051, 0x909ede67, 0x0645ab41, 0x12ff0f46,
+    0x22b31735, 0xa3a23801, 0xfcdf43e4, 0xc43344a1, 0x9730c624, 0x53594504, 0xf95e20a9, 0x9ba117a9,
+    0x840cf502, 0xdb3c913c, 0xc36a8d8e, 0x46298f6f, 0x3ed477e2, 0x79b73999, 0x932059be, 0xe54565ad,
+    0x9de91262, 0x5749aa70, 0x79e2e6b5, 0x0e2ba052, 0xedc2bbf7, 0x0853043f, 0x3f2ea3d1, 0xc341c6f2,
+    0x03483dc7, 0xf3273083, 0x7807c214, 0x88df2930, 0xb4e97920, 0xb3e8c1c3, 0xf74ef4f5, 0xea2a6dc6,
+    0xd17230ea, 0x17bf91d6, 0x50480762, 0xd5e77e2c, 0x95908e9d, 0xf10e8c9d, 0x95ae2231, 0x4c5bef71,
+    0x5cc810f7, 0x2727e2f1, 0x95e141fe, 0xafc74761, 0x0ddf063d, 0x8f5511e9, 0x2aa3be80, 0xbbca57df,
+    0xdd66cb17, 0x4bf71ddd, 0xec3c781b, 0x7c1c548b, 0x4307c54f, 0x4e3fc009, 0x58d70c3c, 0x8359bcb1,
+    0xced0f68e, 0xd29b8470, 0xcbc8c8b3, 0x08434ab0, 0x8a54a4e3, 0x87ecdec9, 0x758290d5, 0x46d960a5,
+    0xff19252c, 0x2a56aa31, 0xddc9f4e1, 0x354ea9df, 0x3d1ea0b5, 0xbd096766, 0x1d21fadd, 0x4c489f48,
+    0x70c3b2f7, 0xffba45a8, 0x2f0c15ac, 0x6e9090d6, 0x3194e31d, 0x67797165, 0x3da22fec, 0xf011509c,
+    0xfe23a170, 0x82ee07dc, 0xcdc35e27, 0xa22dd12a, 0xfa1f526e, 0x54f2eabf, 0xd2c28735, 0xc7d748a9,
+    0x01049e4c, 0x3f911ef3, 0xfb69fa1a, 0x5bfde3e0, 0xd1cb5803, 0xc7d84fba, 0x09b9f59c, 0x4a7c1704,
+    0xaa0da946, 0x1c2d58ef, 0xe9c283af, 0xea0f1d52, 0xbf9e9196, 0x883a8b39, 0xd2de4564, 0x5e5d5da6,
+    0x94b19e88, 0x529bbd1e, 0x9847ec52, 0x637353c8, 0x89254b3b, 0x185b7d22, 0x908c6556, 0xfc6f88fc,
+    0x54f43367, 0xce166374, 0x39156319, 0x9069f847, 0xd2f6b5a9, 0x7987a947, 0x7a362b71, 0x56afb329,
+    0xa246b661, 0xc9a8443a, 0xea20d09a, 0xc7161ee1, 0x29ec07eb, 0x29a628d4, 0x3b1a3b5c, 0xacc9a607,
+    0x3978004a, 0xfdfed677, 0x71c7015a, 0xe74e6645, 0x453d2ad0, 0x4dac0426, 0xe72de52b, 0x52e49ce9,
+    0xfed7fe48, 0x26626fd5, 0xf9469a0a, 0x9dd9b695, 0x53bd1b64, 0x6a66db40, 0x01f69216, 0xb8ef9956,
+    0x80020ec9, 0xe33d9fbe, 0x6e14358d, 0x5812e4aa, 0xbe3d2439, 0xe66281ec, 0x778be489, 0x320dedb4,
+    0xdd24a557, 0x81f78e2f, 0xb76d6874, 0x2ba4ee7f, 0x69c9d004, 0x0b9fcdba, 0xb05988be, 0x81edd5c9,
+    0xdaf76598, 0xf1a233b8, 0x0ee6e577, 0x37f0fa57, 0x9f6f3afe, 0x849e2355, 0x15b98102, 0x40afb1bd,
+    0xfab1f510, 0x4bbe1840, 0x0352b382, 0x85cd9401, 0xa04d432c, 0x3549cbc2, 0xf2f40857, 0xc6af3577,
+    0x64d42269, 0xbe16807d, 0xbb0716d3, 0x73f679f3, 0x71587f3c, 0xf5e167ee, 0x3da2aa73, 0x3f627544,
+    0xf9d61642, 0x1635187f, 0x411e6c12, 0xf3c922b6, 0x5350aaa7, 0x8bb4f605, 0x8455966c, 0x81b520e2,
+    0x6954a825, 0xa820f0c8, 0x17ac8487, 0x8c367304, 0xd4d401bb, 0xb53f9fd1, 0x44f8fb3c, 0x70b4934e,
+    0x8626b258, 0xd9669151, 0xd3155410, 0xfd1ab8a9, 0x1e782682, 0x7c80c077, 0x24cf4a34, 0xc17d8602,
+    0x8e3d714b, 0x510e4415, 0xd9f9311b, 0xe525e8e3, 0x5ceac76e, 0xe31655dd, 0xa9a0e45b, 0x21a6088d,
+    0xc83e9a06, 0xf05e17ce, 0xb696856c, 0x27b58ef6, 0xde91a770, 0xd5d2a4ce, 0xc67d7a17, 0x30a8977e,
+    0x197aa602, 0x01552c9d, 0x558a205c, 0xac70d2b8, 0x681a315d, 0x6154d50b, 0x16f65238, 0x6f923bdc,
+    0x0adff585, 0x12b41030, 0x79c1061b, 0x75e1b0c5, 0x5222c156, 0xfcf872cb, 0xa0ea0e5e, 0x738cd3ac,
+    0x54e28aff, 0x40f07049, 0xac08085d, 0xfd4c19bf, 0x1c07f948, 0xebc3c103, 0x96250ba4, 0xe709f471,
+    0x3160b3c3, 0x21bea748, 0xa4724981, 0x6b07ff8a, 0xc8de0bf8, 0x523215f5, 0x3e0173a1, 0xd2cf5bdf,
+    0xdaa15bc8, 0x537218e4, 0xebc40560, 0xcf375361, 0x2bf88937, 0x3f7957ff, 0x844fc7bf, 0xf15ab043,
+    0x7ff3dc10, 0x0ae72441, 0xf88b485a, 0x8c1028b2, 0x120e8032, 0xb8303f36, 0xc726f491, 0x8db31620,
+    0xf33a1f3f, 0xbd3b308d, 0x84b0e573, 0x4163da52, 0xff7658a5, 0xe85167c0, 0x8e7e9957, 0xff472d46,
+    0x2e7e911a, 0xb01a3123, 0xb057f1ad, 0x92f0bfd8, 0x04988c33, 0xc4f6cc39, 0x47515bf8, 0x3fecbbab,
+    0xee927e78, 0x73bfe0c1, 0xdb03c67b, 0x75576173, 0x99142e64, 0x22cde670, 0x4abaa48d, 0xcccbb1a4,
+    0xd11febff, 0x79e89a70, 0x18364537, 0xd6b17615, 0x70dc5203, 0x742ee1ab, 0x3d6794e1, 0xad9a5f78,
+    0x98a59188, 0x2b670e60, 0x23ad7c58, 0x630549e6, 0x19d5f6a2, 0x41be779d, 0x808b4124, 0xc47b732f,
+    0x566ab1ca, 0x0effdb5a, 0x72ef12d0, 0xdfac7e29, 0xd0693d5e, 0xb28b22ed, 0xaf775202, 0xa8564fb1,
+    0xdb458d78, 0x0f1de1a1, 0x5a017458, 0xd1735c6c, 0x9bc36f2d, 0x7ff3534d, 0x681d3bea, 0x478ece15,
+    0x89f2e5fe, 0x8e39c743, 0xe795d468, 0xbd896ade, 0x8548582f, 0xb7138b1e, 0x4217f58d, 0x4a952c2e,
+    0x6e27844f, 0xfa736387, 0x1562aee5, 0x4aa7074d, 0x1cb4c32a, 0x8965e399, 0x24112b27, 0x214f9f49,
+    0x9cee7908, 0xfbad8625, 0xdfdc05f0, 0x4b0caa1d, 0x3c853953, 0xefb886b6, 0xcc25d7b5, 0xdf26aff1,
+    0xdad14bac, 0xd14e212e, 0x49409af3, 0x3da58c3d, 0x437ffdd8, 0x27838430, 0x7c25818b, 0x1eb48a2a,
+    0x83ae689d, 0xd866cf8a, 0x382de331, 0xf4108120, 0xe7644600, 0xcb3b6f55, 0x8844446a, 0x59ec600d,
+    0xa4f45413, 0x81cbf622, 0xade156f8, 0x1155a0de, 0x009d281c, 0x51e23ccb, 0x08f77cf3, 0x6e827c46,
+    0x6e26cb37, 0x58c0cb2a, 0xf3cba467, 0x11a424c4, 0xa9701978, 0x88e53bb2, 0xe8cead8e, 0x40c9e8b0,
+    0xe69824e6, 0xc52fa205, 0xf54a386a, 0x1e795368, 0xe59b0b73, 0x0c96b3fc, 0x0d987f88, 0xcf88f4f5,
+    0xe0aebd1a, 0x9bd82e86, 0x5df0fcc8, 0x59d31e77, 0xd367b163, 0x4747a657, 0x9d9a45f6, 0x1a8a48d1,
+    0x3b7aa0fa, 0x89384809, 0xf671a7d0, 0x200584f1, 0x49bc134a, 0x119ba5ff, 0x6aa94642, 0xb2abc7b6,
+    0x2ef5758d, 0x70097c9e, 0xecc373e6, 0x8ec9086e, 0x4545815a, 0xcd906552, 0x0296dec9, 0xe6e4b091,
+    0xd0176546, 0x3c926f2f, 0xe00b9699, 0xe8d4eb5e, 0x30a0017c, 0x4b90860e, 0x32c5f640, 0xbe597b68,
+    0x9f1fa990, 0x3c8e65fb, 0x41d2388b, 0x3324064e, 0xdce2c8fc, 0xc3490d04, 0x04829906, 0xeadaf820,
+    0x0611e92e, 0x1d0b3bff, 0x2bebbaf8, 0x892f6394, 0x9e800a22, 0xe51fb93e, 0x66d0a5b2, 0xc77797cd,
+    0x1039c51b, 0xb9aa7b3e, 0x5060da9e, 0xce22565f, 0xba0bd008, 0x4db20a6e, 0x38e4a005, 0x02e090f3,
+    0xfa7e1ecd, 0xca7bdae1, 0x6c6a58f5, 0x5cb40faf, 0xf8539948, 0x2a07d439, 0xfb26f1b3, 0x62c9ec6c,
+    0xeac062bb, 0xf1c8cf9e, 0x2ad0f6c2, 0xf63108ef, 0x7fc81360, 0x986b186f, 0xea2cb691, 0x1467eaad,
+    0x3cc650fd, 0x7b217959, 0x95ac95d2, 0xbfdeba2d, 0xb2ab7c52, 0x041d2e8e, 0x3e8f4cad, 0x0f02dbd2,
+    0x472fd07b, 0x0d48a83a, 0x96544925, 0x1bce672d, 0xbc372e5f, 0x1def40f0, 0xbd62e1a5, 0x6ea07f8c,
+    0x14105c84, 0x6eb3c26b, 0xabc01087, 0xf20e9399, 0x29a72c67, 0xa1dc210b, 0x948130c9, 0xc738ee14,
+    0xd3755107, 0x3e5eef3d, 0x5b69a92e, 0x0a50b60e, 0x9b7411e5, 0xf5e45412, 0x0056e521, 0x22888b4f,
+    0x9c7bbd68, 0x2e162ad0, 0x42a7c115, 0x41e417fc, 0x39f4687c, 0x7271faee, 0xe873a4a5, 0x9b4964ef,
+    0xf1d7e29e, 0xa07db9e7, 0xeebf40b6, 0x3f7efbd5, 0x223ea947, 0xe042d8f5, 0x8441b9b1, 0xaa29ee36,
+    0x18f8febb, 0xc2b780a6, 0xf46c6538, 0x5876cfd2, 0x9125dcda, 0x073f72f6, 0x747bec72, 0x52424bc9,
+    0x37ee1343, 0x1a4e2e26, 0xfaecad8e, 0xf317cb3a, 0xc226ce44, 0xb494e9b4, 0x2960841a, 0x6ea37b74,
+    0x7866286f, 0x3f86dbf1, 0xe722ed53, 0x0dc504fd, 0x73c3f061, 0x2941f4dc, 0xfc7a028f, 0xce4da32d,
+    0x267b4f0c, 0x32929b65, 0xc67cd34e, 0x0b8ae0fe, 0x115825c4, 0xb8d8d734, 0xe7f307fc, 0x574010b5,
+    0x8b6e09e4, 0xb8c365e4, 0xd8d6a13d, 0x91dc372b, 0xd53700db, 0x6f09a268, 0xdc2b11e6, 0x8ac75056,
+    0x5f72ac80, 0xf255d449, 0x335a5c35, 0xf7158c03, 0x6bf4f94c, 0xec67fee0, 0x9d31519d, 0x79e875ae,
+    0xa032099a, 0xc79c2aa7, 0xec5e10af, 0xbc154785, 0x62881e30, 0x8d9a0004, 0x49516d00, 0x6c9b3806,
+    0x51661b9a, 0x55776e07, 0x1f868f09, 0xd7327c99, 0x775fb8dd, 0x07c9c45e, 0xa3a42f7b, 0xf9f36425,
+    0x546d9d63, 0x83f10f87, 0xd4ef5b78, 0x2c9e431d, 0xba58ca7c, 0x547b8bc3, 0x12d23583, 0x32f8d4b1,
+    0x35eb1144, 0x5bcaf88e, 0xd2a10f4e, 0xaaa07303, 0x82485a1d, 0xc7efd441, 0x28fa6bae, 0x236a0c75,
+    0xc693bf4c, 0x52f0e730, 0x13750fc0, 0x66d42adf, 0x45278e21, 0xc110e84c, 0xaeb564e4, 0xd7d9a99a,
+    0x28738813, 0x49f9bffc, 0xfc11db6c, 0xf4b234d7, 0xd6d731e0, 0xce1e4228, 0x03855bab, 0xe83005bd,
+    0x64910b70, 0xa4edb1b0, 0x4ec75c52, 0xae2967f9, 0xb77e19d3, 0xe2f030d1, 0xac50f875, 0x839c5609,
+    0xf4f54cdb, 0x62c10653, 0x0997f998, 0xb72d5309, 0xa1b91202, 0xfc2a4b6f, 0x4ac6790d, 0x1205c7f2,
+    0x0d330fbb, 0xc5bf6946, 0xb1da7040, 0x9f9873fc, 0x39fabd52, 0x7cdf7918, 0xf990e94b, 0x8f1bbf2c,
+    0xe9eadbb3, 0x833609f2, 0xa2cebc9a, 0x3bbbac47, 0x62ad67d6, 0x262ba787, 0x77ae5487, 0x15339ffe,
+    0xb8c36f84, 0x51267a65, 0xe779333a, 0xd073c593, 0xec7d00f2, 0xb8889b54, 0x1ce89a18, 0x2743c068,
+    0x5c7bfff4, 0xa1ccdf0a, 0xe493cd94, 0x5cc483f4, 0x1eae0803, 0x6b779d6a, 0xa4d41925, 0xac0e88aa,
+    0x4b7bde91, 0xb1966011, 0xaa3f9458, 0xd9f3cfc5, 0xcdb85402, 0x71d9eebd, 0xf2640342, 0xc903fa68,
+    0x03788cde, 0x72a06894, 0x1c61bdf4, 0xde06efd8, 0x75f66d10, 0x32cfe544, 0x8669f371, 0xcdb7818b,
+    0xe1e807c6, 0xf37fb277, 0x7f963245, 0x59144400, 0x710db4b6, 0x8b1972e2, 0xe5572867, 0xa8da7a8d,
+    0xcdfd9157, 0x10d1849a, 0x41454a60, 0xf88064e0, 0x0d1183f0, 0xdf8afa98, 0x8df4d8e8, 0xafea6175,
+    0x6cc80bc9, 0x6674cd4b, 0x2acfb602, 0x16dd84af, 0x5854dcfd, 0xc5d671f6, 0xd7007c96, 0xdffa4766,
+    0x6d2886a2, 0x0a96a948, 0x758faaaa, 0xcae61cdc, 0xa33e140c, 0xeab6e896, 0x3d20311d, 0xd3b01341,
+    0x6b8cea05, 0x92d9df36, 0x45f89d3d, 0xb9813bb0, 0x4941d35f, 0x6858e47f, 0x117452a7, 0xc042495a,
+    0xe3f72e2e, 0x17b7e1af, 0x344aa7f9, 0x9ba01cde, 0x68d75b8d, 0x4f0741b5, 0xc3542dee, 0xcefac32e,
+    0xe45a2a19, 0x0668b5cf, 0x9b96e0a0, 0x09f20189, 0xabc1ae53, 0xfc45a63a, 0x524b87a9, 0xba66dfbf,
+    0xa487a54d, 0xc175e713, 0xf610d7de, 0x9f34e30a, 0xa2ac378e, 0x35769e60, 0xe7e4fc4d, 0xedf17be5,
+    0x35e32143, 0xe93bd7f5, 0x6e0088e9, 0x24166b8f, 0xc8338fcb, 0x698863bc, 0xe6c2938f, 0xdf6cb555,
+    0x05115d89, 0x027eca53, 0xb5b82139, 0x34a15a8e, 0xc5cfdc34, 0xca5ce283, 0x6fad6bba, 0x015f0187,
+    0xa9a95e3a, 0xedb34131, 0x7a0636fe, 0x4eefc4c5, 0x6dcb761d, 0xd8b272d8, 0x077fcb5d, 0xfb8a62d8,
+    0x1b2f4053, 0x657ec8c2, 0xf95f2458, 0xb7ab068a, 0x24bb716e, 0x940a5026, 0xf47991db, 0x3c12e0dd,
+    0xcf9c8691, 0x5de128b6, 0xc3814279, 0xcf7b98ca, 0x874538a2, 0xa4184659, 0x8eae5aba, 0x25170a4c,
+    0x553304ff, 0x648e709f, 0x531cd39b, 0xc0ec4580, 0x36461431, 0x74093d84, 0xcf69dfc8, 0x394b6a1e,
+    0xb155e52f, 0x4debf1ce, 0x2f94e8c8, 0x1f4829bf, 0xf4a34bee, 0x21fa9ab5, 0xc58477d0, 0xb09711eb,
+    0xd6fbbdf8, 0xc8afd9e6, 0xf373ee81, 0xe26dd195, 0xf2e2e9b8, 0x18b9f625, 0x7b6f4ca2, 0xf7ff1bde,
+    0x23a8ccff, 0x378939f1, 0xaa7ffbb7, 0x455516d9, 0x7433f1e3, 0xad7ab621, 0xb711ef80, 0x08d50b22,
+    0x8a238560, 0xe35ed6bf, 0x52c5ae43, 0xca23db7f, 0x8e790ccc, 0x0e033c55, 0x79582fce, 0x55bd5cc4,
+    0xd73fc55d, 0x8aaa311d, 0x5ea34a01, 0xb22d29bb, 0xfca33afd, 0xeca51645, 0xdeb471db, 0x7fe27eb3,
+    0x68c60f66, 0x97edb359, 0x8f76d8b7, 0x3611e9b1, 0x5844347b, 0xf60da49b, 0xc439bf6b, 0x907b4113,
+    0xc21534a6, 0xf5173932, 0x9efea006, 0xec1fa193, 0x0b5ed901, 0x9c56d434, 0x0131d2e2, 0xd5d1826d,
+    0xadcae293, 0xa43035ab, 0xb2ac5cbe, 0x4b5fe70b, 0xb82fe5bc, 0x89fbcb7b, 0x033ce972, 0x42544a64,
+    0xa42b9e4e, 0xc3eb8599, 0x0fabc401, 0x9b36ea3a, 0x5ff3aa22, 0xa714db72, 0xe41953fe, 0x54a1ec08,
+    0xe1c5df63, 0x55a72e95, 0xe3d859cc, 0x9fe9f2d5, 0xf441214d, 0x627445dc, 0xbf4dea71, 0xe1655d3e,
+    0xbd392131, 0xf3391be4, 0x365434a8, 0x0c14831c, 0x17cc64b5, 0xe0c02534, 0x72c65ef0, 0xcc4fd4ab,
+    0xdf169340, 0x4e5990c2, 0xefec7c6a, 0x974594aa, 0xe6b7dd88, 0x9ee4c4b1, 0x9fd2007f, 0xa639e143,
+    0xae6d08e5, 0x05410261, 0x56b47dc0, 0xe0c6f67f, 0x05411ead, 0xb1393245, 0x6cfc8eec, 0xeab12c91,
+    0x2b18786c, 0x49d178a0, 0x41091a53, 0x151926c9, 0x266bd180, 0x8f2202da, 0x4c8fffe5, 0x46814c1b,
+    0x81415e9b, 0x4ca3db1d, 0xad451e9c, 0xa54da4ed, 0xa9e86ae5, 0x0ab35418, 0x9c1859ff, 0x3f7f8245,
+    0x7355f620, 0xee472981, 0x251f30fb, 0x5ec245a0, 0xb2e9be90, 0xfefc3201, 0x609a96fc, 0x3bf67b7f,
+    0x704d0f7f, 0x0686c9f0, 0xb12e9d59, 0xea02eafd, 0x6661ed8f, 0x4908609d, 0x8cfaf735, 0x6b0d19e7,
+    0x875f82eb, 0xcb126856, 0xfcbab1be, 0xb165ebaa, 0xc42cbe28, 0x1dfa1043, 0x9c486a50, 0x38c13971,
+    0x20304f1a, 0x718a081c, 0xc418c132, 0xa2c111c6, 0x04ee58c4, 0x43ba011b, 0x54da2244, 0xde6327ad,
+    0x00000000,
+    0xfea68d69, 0x7af2846d, 0x2714bd0a, 0x7076d055, 0x588ab831, 0xbe66bc08, 0xdf461e98, 0x5b9254df,
+    0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000454274202684754306593327379930002833971025850429573787675\
+                          93137448789955507087370207886940669610222847547657600391636120845912601788416 */
+  { 0x00000000,
+    0x8cd7bbc2, 0x08adc099, 0xf432a505, 0xfd6ecac8, 0xa7890bb2, 0x609cf0af, 0xb3b5b146, 0xc612b848,
+    0x2fdd1c34, 0xf4294a48, 0xa75d628f, 0xee8d4989, 0x98f92d1e, 0x86f1e0ab, 0x192268aa, 0x36ed5870,
+    0xc16ebfda, 0x2a0c1ca6, 0x7b239ef5, 0x437a1074, 0x9a350686, 0x1d521687, 0xe698c6c5, 0x8b6b94a1,
+    0xab8581dc, 0x9e1f4495, 0x493c4644, 0x7e53cdc0, 0xbff40e9d, 0xdf4169d7, 0x4b95530c, 0xb9ccdd5a,
+    0x5dd43e6c, 0xa43202dd, 0xb8b62c29, 0x82072dff, 0x74b5ea93, 0xc1eba48f, 0x83ce2a5e, 0x2c00d2aa,
+    0x5acbaf59, 0x08edac84, 0x43313365, 0x46ce9220, 0xa60fd866, 0x3309af5d, 0xe0b647a1, 0x25454cc9,
+    0x37a79cd2, 0xb960e64c, 0x8033e20e, 0xa19f3fe5, 0xb30586fe, 0x5d5d014f, 0x9e97414a, 0x336361dc,
+    0x78ca4e82, 0x8c58148d, 0xf34d7163, 0x99a3ab87, 0x26b43f01, 0xf47ab15e, 0x40177ffc, 0x69d6ad70,
+    0x045824b2, 0x397250cc, 0xc5094037, 0x5fd736e5, 0xe40d6d32, 0xaa6e5088, 0xa7dd5700, 0x451c52e5,
+    0x27a326c7, 0xec6ce048, 0x14e94914, 0x6c6458ed, 0x501277f5, 0x4289dbfe, 0x1a5a348d, 0x5d43133e,
+    0xe504431c, 0x4751bd51, 0xcb596019, 0x2e75efa4, 0x31b266cb, 0xf81fddc2, 0x81833d8d, 0x3d767f65,
+    0x480d0700, 0x2d2ffda4, 0xaea6302f, 0x6b45ef45, 0xfb95004b, 0x188a9ced, 0x9292160f, 0x3139aa92,
+    0xae5aa762, 0xc4ad03d6, 0x4d8aca6f, 0xf941a082, 0x75398f01, 0x2ec7f3f7, 0xf1f4f766, 0x22b32120,
+    0xd45ce023, 0x96077975, 0x2a3b505a, 0x69a48b5a, 0xcb60f669, 0x94f7563e, 0xf7d3086c, 0xd1edff3f,
+    0x427997da, 0x5db70ea8, 0x0c3794e7, 0x6d09674b, 0xd699ecd3, 0x06f200aa, 0xc7854da7, 0x26eafd9d,
+    0x9eb18cba, 0x885d3f6f, 0x51d2c340, 0x47fc79b4, 0xe7d40c00, 0x8f116a8c, 0x956d77d4, 0x377a312d,
+    0x53644396, 0x69a5896c, 0xaf7f465f, 0xaa41b631, 0xe5c7a129, 0xe41de2f4, 0xa6aef0fe, 0x790ab8df,
+    0x2fc375fa, 0x400a4ef8, 0x15e897f0, 0xc0c1dbd5, 0x8d9a4d01, 0xf9a217c8, 0x4468b0b4, 0xb8591a92,
+    0x8645244b, 0x0058d03c, 0xbdd27de6, 0x5a1d0e4d, 0x461f18b1, 0xead0524d, 0x3630c60e, 0x8623d5fc,
+    0x489825ce, 0x533089fa, 0x5d8b9a34, 0x9a8de8e7, 0x33c5060c, 0x5480e448, 0xd2b5ef07, 0x777068df,
+    0x0940a9c5, 0x5ffccfa1, 0xc06865b5, 0x0bb4840f, 0x6ea208bf, 0x63aa84b8, 0x1e42bde2, 0x2eac01c7,
+    0xf0154dd5, 0x37c7bb9e, 0x3ea6506e, 0xc33e03bb, 0x59d907c2, 0xd84f1430, 0x30c8e30f, 0x3aa0b5c4,
+    0xef46d10c, 0xf0973832, 0x14523262, 0xb2196eda, 0xb561ed21, 0x2f121e7d, 0x1a8b7e90, 0x69cf7c15,
+    0x59f55c14, 0xf4bec26c, 0xb69dd378, 0x11da9015, 0xf8099398, 0x1ae5d07c, 0x0b7feb53, 0x5828a2ee,
+    0x3b4e61d7, 0xedc92ec5, 0x82963cc4, 0x9dacfb0f, 0xf6dbb1ad, 0x6c67f862, 0x02bc6cb2, 0x87c3f070,
+    0x22ecd16d, 0x1c6c3356, 0xca3a6124, 0x9f69f0d7, 0xecedd1c7, 0x1e808d71, 0xf6129822, 0x6232ca2b,
+    0x1f702d46, 0xb034085e, 0x1c0ae10f, 0x2355feec, 0x889e8bd6, 0x16cb7e1c, 0x7939e660, 0xa511f843,
+    0xaa1f142f, 0x5e435e0d, 0x39257f0c, 0xe4a5180e, 0xedaced1c, 0x91347fb0, 0x44f9f004, 0x785df6bf,
+    0x87eee0a5, 0x7292711f, 0x6aa6289e, 0x4d5a7e70, 0x22762b06, 0x3924082e, 0xeec6f4c5, 0x98532fce,
+    0x0521f826, 0x7ed07c5d, 0x7050aef5, 0x03f4fcf5, 0x061db2ec, 0xa8027321, 0x9a961ef8, 0x0d7dd931,
+    0x0fc29ba0, 0x77c9bfb3, 0x7103757f, 0xa97b3936, 0x41c7ce5d, 0xa9fe8e6d, 0xf6edc181, 0xf8b8aaa5,
+    0x6dfd1788, 0xa2b79f63, 0x98480449, 0xbedaee57, 0xef0dc060, 0x4c64e2c0, 0x544d3fbe, 0x1be7ee90,
+    0x0c9e9c2b, 0xe7e7a5e4, 0x9c27c37d, 0x8b9b9e26, 0x431b9f9c, 0xaf1e3077, 0xa08f93f8, 0x89d58c36,
+    0xad073616, 0x05128c7a, 0x2a2720ca, 0xa8474ad7, 0x4c9829b6, 0x0f528e9f, 0x9c51e439, 0xe0ee57ab,
+    0x0f7ea541, 0x82d56964, 0x6d281ddc, 0x895ae683, 0xf169bfb2, 0xdeff0236, 0xc5723238, 0xabf4f52e,
+    0x331f5234, 0x7381ad1b, 0x8e9d9ea6, 0x7ce6c2b3, 0xa3ef93ee, 0xd3229d0a, 0x872c1930, 0x496d7c88,
+    0x40b31ae3, 0x0091686c, 0x92ef46b7, 0xb0b9313e, 0xbea974a3, 0x9499e298, 0xe7eb1d4a, 0x2418d032,
+    0x74facb0c, 0xfbbf158f, 0xbed227bc, 0xe5b4a7cf, 0xcbd00778, 0x22f88636, 0xbb0a60f9, 0x62929b05,
+    0xad0b462e, 0xb9ea6d7d, 0x0e11d1d9, 0xc76ee1f9, 0x8305c5f7, 0xf775efff, 0x29b1915f, 0xae4088e1,
+    0x74484b66, 0x2a10f8f2, 0x5e36a909, 0x52815ea6, 0x55ad7248, 0xb14d53a6, 0xd9f5b395, 0xe54f1587,
+    0x8ba71ba3, 0xfced8d43, 0x7d4d8b5c, 0xd0763940, 0xacec7a0a, 0xbc0aa732, 0x52a8a3ad, 0x06e7bd36,
+    0x825ea227, 0xe6ef9e20, 0xfdc0f20a, 0x79dcd3d6, 0xdbee701f, 0x30ab3120, 0x801977c8, 0xbd60173e,
+    0x36b571ca, 0x53296937, 0xeba8a123, 0x8284b203, 0xd1a155d2, 0xd3b83f7b, 0x1e238b55, 0x0e47d008,
+    0x0f7ab01b, 0x68211150, 0x7c5c9975, 0xe257b509, 0xa0ab68af, 0x547682f5, 0x9dadf372, 0x6b92853c,
+    0x3773f888, 0x6a2bfb93, 0x21d22429, 0xb8bbe3c1, 0xacea7753, 0x1d2ef2d9, 0x100c6db7, 0x6f4afd00,
+    0x1339e86a, 0xe2d416ac, 0x3061b18d, 0x5d24df95, 0xb9737968, 0x3ef0d58c, 0x5974ba80, 0x33152cd2,
+    0x079d9872, 0x3288f986, 0x0dac4587, 0xd6c2b797, 0x9408f636, 0x80aae1d6, 0x67925821, 0x0f693e99,
+    0xa8d427da, 0x9cd39a66, 0xbb56ba8b, 0x05aeca73, 0x60e67418, 0xb203fb1d, 0x0f9f49dc, 0x8b54f087,
+    0x43102131, 0xb4fbc633, 0xa533e0e5, 0xb1b0d4d9, 0xd00fc19c, 0x4e5aabf7, 0xfa1b48a1, 0x2194c127,
+    0xf45937dd, 0x0a9783c1, 0xc2d67898, 0x46b271c6, 0xef273db1, 0x6be94237, 0x077cc2c6, 0xe8bdea37,
+    0x273a66d1, 0x84b66d59, 0x3962e5ca, 0x167f441e, 0xfadc2b41, 0xaf6742c8, 0xc1ea1265, 0x41afe572,
+    0xb927d81d, 0x6a099553, 0x73d01fe9, 0x89be468f, 0xc220a9f2, 0x6d44e1b5, 0xc49b2746, 0x0635acfc,
+    0x4f3f9bd3, 0x52574870, 0xa05d03ab, 0x49115276, 0x8851dfa6, 0xd0b80e11, 0xdbb2f669, 0x7498642d,
+    0xe0144109, 0x78efa5de, 0x25d2da33, 0x7964cf2d, 0x4307abfc, 0x15540594, 0xa9158233, 0x76674d54,
+    0x2d7a6280, 0x236de5c7, 0xea0277e7, 0x06f42d6c, 0x0db1480f, 0xdbbf22ce, 0x24a98f5b, 0x6e96b9e2,
+    0x8ae6fcf5, 0x01b5394b, 0x80c8f306, 0x5c92b84c, 0x8602dd72, 0x40716f56, 0x88cc939d, 0xd444989b,
+    0x24aee611, 0xd4b36190, 0x4b862011, 0x284795d0, 0xb5030036, 0xbd1b28a1, 0x4cc83c31, 0xcacc128b,
+    0x7b7264f2, 0x507342bf, 0x32c0f7da, 0x3d87f68a, 0xf68c43d5, 0x0b9f6ee9, 0x1960a4f1, 0x71399e3f,
+    0x9da74551, 0xdf0f3b76, 0xc1282215, 0x46189a3e, 0x58b85abf, 0x2cca404c, 0x2bfc5f75, 0xf1d43f05,
+    0x2b8d6474, 0x6b193ddc, 0xbbb9f4e4, 0x9f66c7b5, 0x76a676d0, 0xae56c1cf, 0x7c73e11c, 0x3b86d08f,
+    0xb35dc2ca, 0x24ce847d, 0xdc85e34f, 0x8ed86d4b, 0xad65803b, 0x92f99558, 0x17e6f1f7, 0x7b117d4d,
+    0x2a741d1f, 0x326b32c6, 0xd7bff94d, 0x554f2b7a, 0x1ea0884a, 0x1329cb07, 0x1bc3d052, 0xc86213cd,
+    0x13fa9c55, 0x52143ff0, 0xd3f91d25, 0xd3dcd85a, 0x964e73f4, 0x28aef4e7, 0x217af58b, 0x07058bbd,
+    0x9de5e2c9, 0xf03a3640, 0xa968b060, 0x2aea87c2, 0x3bede97c, 0xd08912c5, 0x398f01f8, 0xfa2006c1,
+    0xdd13f7d2, 0x80f282ed, 0xa4bef0c1, 0x6693ce38, 0xef650287, 0x70bd87c3, 0x12173ef8, 0xd3d86760,
+    0xd46336e9, 0x13fb92cf, 0xa7308f55, 0xffad560a, 0xf34f4a6a, 0xe0727768, 0x2986ea14, 0x48525864,
+    0xda5d8c39, 0x8d04401f, 0x0965785c, 0x9fb46e9d, 0xeabfb81b, 0x24ec62d6, 0x5937c58f, 0x3ab68f10,
+    0x4c213c50, 0xd2c48002, 0x7f04c9c9, 0x8cea9720, 0x85cac7a8, 0xb35a210f, 0x9ac9bf23, 0x2b8ec923,
+    0x5e46497d, 0xa435d6a7, 0xea906313, 0x92817c3d, 0xd838b740, 0xe57ca6dc, 0xdbd77b5b, 0xacfbce04,
+    0xb04cd24c, 0x44f7c258, 0x25b2af3d, 0xe686892c, 0xd7e83ea0, 0x877c37bf, 0x39f5f468, 0xa52c8e52,
+    0x17f9c858, 0xede7a68e, 0xdee0abdf, 0x01566ae0, 0x036e7b18, 0x77684f6c, 0x4fa1d0e0, 0x6fb5657e,
+    0x26074281, 0x0121bb20, 0xb68f7ca0, 0xbaa1a026, 0x3eb8159e, 0xf4ebd287, 0xead6cd3b, 0x169a192a,
+    0xd725e671, 0xe56ef7fd, 0x6579dbb4, 0x1b4a98fd, 0x81bb8d7e, 0x3cf876a5, 0x1adfd2a1, 0xf4b909b0,
+    0xe56a1864, 0x8d8eb42e, 0x5d4e0d58, 0xab2680cd, 0x777255e3, 0x7e1fc011, 0x05d83e5f, 0x86097f2e,
+    0x4255413d, 0x00303e0b, 0xcaf7bfa3, 0xe0aaa2ec, 0x911250ee, 0xb8551e0b, 0x5fae97dd, 0x3359da6f,
+    0xc2f543cd, 0xe0d6ef98, 0x6cec562f, 0x68226150, 0xa7150c43, 0x1ae4341f, 0xd81f6957, 0x55c8ef76,
+    0xba18c38b, 0x42d766ac, 0x04702535, 0x8bcd119a, 0x905d1961, 0x24db15c5, 0xf2ca2b6a, 0xfbb73861,
+    0x3bfc1f90, 0x1ed31418, 0x4afcc0d3, 0x0e07d295, 0x93f53ae7, 0x59501817, 0x1809d2d3, 0x9d7b58f7,
+    0xa689095d, 0x78ec9b3a, 0x2c1d41f5, 0xeb99dc6e, 0xac4652e7, 0x952cba8b, 0x3fc00ed4, 0xe0fdf728,
+    0xf4edc33e, 0x22bf3261, 0xd36829fc, 0x244678cf, 0xcf41519e, 0x549f1ce8, 0x8d55c728, 0x1bc40a06,
+    0x0a6b5ad8, 0x5e9cd23c, 0xbe1b4e76, 0x13f173c6, 0x73475cfc, 0x705734b9, 0x02207e45, 0xecefc7fe,
+    0xfa3505e3, 0x86a5169e, 0xeb2cdbeb, 0x02bfb47a, 0x56bbb293, 0xd8004800, 0x86f2cd3e, 0xa79ddb17,
+    0x8b84704c, 0xda1abbd1, 0x3c0f3090, 0xf425c34d, 0x4d17e1c3, 0xf2652368, 0xe8d82b16, 0x5b75e76d,
+    0x2100a731, 0x4bd62d2b, 0x4216f245, 0x83c0b880, 0x2c48578b, 0x666713b7, 0xa9ff73bc, 0x2f46f860,
+    0xcf8fdf12, 0x173e45fe, 0x0b3250a7, 0x7d4ca991, 0x2dcf134b, 0x7880f5dd, 0x9c1707ce, 0xa3f3cf6e,
+    0xfb0fbc34, 0xaf26c426, 0x43fc828c, 0x48afddea, 0xc7948fa6, 0xafa98c45, 0xa3e52609, 0xe4096f09,
+    0x649167a3, 0x93181dac, 0x78bce732, 0x58af48dd, 0xac622ba8, 0xa6b49c26, 0xfa7dcd53, 0x48400c15,
+    0x99621710, 0x7e498b94, 0xe42f44e2, 0xc6399e9c, 0xf73e0c3b, 0x0c26532e, 0x232db511, 0x3f3fee82,
+    0x586e903b, 0xa22683f5, 0x6bccb366, 0xc8f24533, 0x36455aef, 0x6f710c97, 0x49cfd490, 0x117c482e,
+    0x66f0ce54, 0xf028b52e, 0xdd6f8a0d, 0x5b439795, 0x650cfe66, 0x9b972bab, 0x6a675ca0, 0x12ac6b27,
+    0xf022b1a9, 0xe303499b, 0x96c2c3ba, 0x120d0189, 0x62dbddac, 0x16355ffe, 0x84b9b642, 0x85656737,
+    0x97906172, 0x02266c13, 0xf53a1151, 0x805eccfb, 0x80bcae94, 0x5fdc6805, 0x0f39724b, 0x211bd9a5,
+    0xd0ef8679, 0x60599de3, 0x69f6734b, 0x417dcbad, 0x98bc2835, 0x9f6ef7b5, 0x7f93390c, 0x3aaa9c80,
+    0x8e5078b0, 0xa648cc8c, 0xa518c936, 0x3afedd23, 0xabb47320, 0xeafe0909, 0xde75d1e2, 0xdd02256b,
+    0x370529ac, 0xd2cf6195, 0xe17c25fa, 0xfbdebaa8, 0xc7deb2eb, 0x0690bde7, 0xb3b08fa6, 0xb82e1155,
+    0x5534c3c3, 0x2059be56, 0x06dd0a10, 0x427ea1ee, 0xe975e145, 0xb0682b52, 0x23348976, 0xa17581ef,
+    0x3e9e3d44, 0x15381845, 0x7b093ee8, 0x46cccd2c, 0x1cb88650, 0xe32d41a1, 0x95fd445e, 0x8c962daa,
+    0x89cf986e, 0x43ecbe20, 0x29a49c14, 0xcbce7b49, 0xdd95146e, 0x9c38540a, 0xc589ef71, 0xd57dc29b,
+    0x8f244e55, 0xa8500df6, 0x8340530b, 0x9f200d48, 0x37a1841e, 0xfb3a94c0, 0xbccbda67, 0x85c9c08b,
+    0x62fb567d, 0xb045d644, 0xa5f0c0ea, 0x79b66273, 0x1c271eea, 0xccd78248, 0x4c0b5be6, 0x62da4847,
+    0x71b04a46, 0x372c1b8f, 0x6cb27655, 0x80da19f7, 0xcaad049e, 0xce13f50c, 0xcdca2652, 0xb3fcb120,
+    0xd4ce6596, 0x531f78bd, 0xc342443b, 0xbfcf590b, 0x88e41569, 0x1a3cd8aa, 0xd7e05dea, 0x81fbabdb,
+    0xd3c6109a, 0x0ee7333d, 0xd694035c, 0x0ac757ee, 0xd5823baa, 0x43f3aa66, 0x0e15f662, 0x2e63f912,
+    0xc7181ee0, 0x89948011, 0xaa1cac4f, 0x0fc6db24, 0xb86b5b36, 0x27fd1362, 0xa2ff6f85, 0x9c68e398,
+    0xa61fe682, 0x49dec84e, 0x6b9af09a, 0xe976904e, 0xea521c7a, 0xa90c730c, 0xffced77f, 0x66a5f379,
+    0x13c04874, 0x37976f69, 0xe5b1c533, 0x8eddd1e3, 0x07193c5b, 0x4524ae14, 0x7f1218bf, 0x48301d33,
+    0x2e26c640, 0x64bd261f, 0x1f38137e, 0x03acb5b4, 0xa8292ffe, 0x043207d9, 0xd0cbc985, 0x9119493e,
+    0x3faafdc6, 0x88ecef55, 0xfd00e6ea, 0x4329ef13, 0x8f6c61f3, 0x0bbcf8c4, 0x9d845902, 0x7c543b1f,
+    0x180e2e88, 0xcde63de9, 0x97294d3e, 0x21bb465c, 0x090f57c2, 0x4b299ca4, 0x2b4610cc, 0xb4330a47,
+    0x487e25d7, 0x9967cefb, 0x87d6d4db, 0x45584c36, 0xff857e03, 0x4dafe5b7, 0x6bd063d2, 0x32721b67,
+    0x62aaf2a0, 0xccae49bc, 0x0635808e, 0x3f133d68, 0x5f35710a, 0xd49eccd7, 0x446e6e32, 0x2ef545a2,
+    0x80382f09, 0x31d7ed18, 0x051b8e09, 0x6d8b1d5e, 0x82065e61, 0xf3e06a6e, 0xe8cd88f5, 0xd5eb7925,
+    0xd1041cce, 0x1354a207, 0x50be91ea, 0x1110f8c3, 0xfa8f9bfb, 0xdb94d29d, 0x55677780, 0x90137f8a,
+    0xe3c93038, 0xb478f292, 0xe1954c18, 0xb8cfd34e, 0xd3d2d7ba, 0x845b4229, 0x28f07db1, 0x661e27c1,
+    0x9e8cd65a, 0x5a2c6897, 0xbb61a12c, 0x5645e0d1, 0x835d8223, 0xe372057a, 0xbbaa8992, 0xbae3592b,
+    0x312349c3, 0x46e7cbf5, 0x83890cfc, 0xa600c33b, 0x629e58ed, 0x7eaae298, 0xd3d76759, 0x66670866,
+    0x49c02d6b, 0x16a5771d, 0xa1939aea, 0x01c6d2a7, 0x70c1205c, 0xdb3beca6, 0x48e21322, 0x8719abde,
+    0x7ee634d3, 0x81f635b0, 0x5c4bf75f, 0x0f474c0b, 0x786e3b29, 0x1c5c8b85, 0xa46eb290, 0x92c9ce98,
+    0x945c8de2, 0x9a987aba, 0x7f224732, 0x2c58c4b8, 0xe39e9c28, 0x8ac3f955, 0x1ceca8b4, 0xffca9465,
+    0x66d8f3ea, 0x64831c10, 0xb54baa44, 0xa11bee95, 0x2ce18589, 0xa744c8aa, 0x76db2473, 0xb83a1e56,
+    0x8bd5e546, 0x733b52f6, 0xd2c7b28f, 0x31b57356, 0xc6abc029, 0xc7107e08, 0x13bf5e16, 0xea9c244b,
+    0xeaa34e9d, 0x72dfe6bf, 0x0913885a, 0xaee737db, 0x2c61abdf, 0x70505b71, 0xd8cb09c4, 0x8999c51d,
+    0x99368e46, 0xa5c13e6d, 0x5e5d100e, 0x2cc48244, 0x9f9c6c06, 0x4aac4523, 0x10ea2679, 0x1a2f3d07,
+    0x7bc1f2f4, 0x815b3e52, 0x30f6e379, 0x3f2e8ac2, 0x9ac4c6dc, 0xf8a1382f, 0x5ce8f64a, 0x0e98c71f,
+    0x23e46bd7, 0x2710b123, 0xb8384a21, 0x2d8707ac, 0x6d81e4d0, 0xb99b230c, 0xbbca8f64, 0xfdfd525c,
+    0x5d9b9eba, 0x2d86af5f, 0xf6a411c6, 0xa52bb8d9, 0x0c0c1be9, 0x62559307, 0xbb5a6b8e, 0xa8b7aab7,
+    0x00000000,
+    0xff5346b4, 0x3d794236, 0x938a5e85, 0xb83b682a, 0x2c455c18, 0x5f335e04, 0xefa30f4c, 0x2dc92a6f,
+    0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000227137101342377153296663689965001416985512925214786893837\
+                          96568724394977753543685103943470334805111423773828800195818060422956300894208 */
+  { 0x00000000,
+    0x3781745e, 0xedc760e8, 0x1ecf07be, 0x9c30b1ca, 0x15c61470, 0x03a56e1f, 0xe017aed2, 0x0c2539a8,
+    0x36e0d725, 0x07f50586, 0xedf4f264, 0x2ef63839, 0x2aa95b97, 0x7da3416b, 0x054cd4cf, 0x5b7abe50,
+    0x8bd0d909, 0xe45c91c1, 0xc08958a6, 0xc2ab6e58, 0x0d5e9f94, 0x5e1497a8, 0x9bf46615, 0x85267775,
+    0xa4912914, 0xbd01cd91, 0x54920042, 0xd8e3365e, 0xffb23771, 0xc3e31e45, 0x0935e2ad, 0x3e76c4b6,
+    0x5304ae61, 0x2ea98454, 0x94307181, 0xbfad8b11, 0x0e00a140, 0x86cdccdc, 0xf76a3f81, 0xd7b713a8,
+    0x006e2d46, 0x192f7fe2, 0x3a0f0d18, 0x2a9bf4ba, 0xef228718, 0x0a003ee0, 0xc19e201a, 0xcf2f850f,
+    0x72aa18f1, 0xe6e306dd, 0xf2ccc512, 0xd079a998, 0x4d486762, 0x4693dd01, 0xcfd59ab9, 0x66711e3a,
+    0x312e9c83, 0x6d24440e, 0x10c8eefd, 0xa7582cdb, 0xc8913c48, 0xfa863fcc, 0x0b1b4ef2, 0xecec7a0d,
+    0xb6e85b87, 0xe5ac86c0, 0x67c539ac, 0xebbe6ba4, 0x43cc067b, 0x73f458c0, 0x743d0b1a, 0x7fb3d933,
+    0xdd2be25e, 0x1ae3b2d0, 0x6e2ba189, 0x3ed35753, 0xed89685a, 0x33956799, 0x6a09791e, 0x86a225cd,
+    0xf7481784, 0x51debb3c, 0x596ab78b, 0xa6dc5f9f, 0x5c5f2630, 0x19899577, 0x183058d9, 0x07cbf716,
+    0x93683026, 0x9adfb70e, 0xf1709c7b, 0x7ef613b7, 0x7e6066a7, 0x86d3f926, 0xfd52beea, 0xb450486b,
+    0x5560b4d2, 0xd0afe5a6, 0x3d117d3f, 0xebf422a6, 0xeaf6d16f, 0xb1b2570f, 0xc8378c0c, 0x688b6ce3,
+    0xfb622f91, 0x851e0e88, 0xb06b9ac3, 0x26d67b85, 0x9796230c, 0xc16baa77, 0x14350031, 0xd8968208,
+    0x34a1e0ec, 0x4d5d7728, 0x5b870dbe, 0x63c832e9, 0xd5cf2eed, 0x1748ae4d, 0x812153ec, 0xd45653c6,
+    0x4c41bb83, 0x0408da27, 0x68122d54, 0xe921634e, 0x9a7be970, 0x0de60806, 0x959aac97, 0x9af9bb60,
+    0x026e817c, 0x0d585751, 0x02541036, 0xbb861243, 0xd4916493, 0x6f5284cc, 0x3055439b, 0x96ab7c2f,
+    0x17ad1a54, 0x3862a1a5, 0x2a524eaa, 0x38eb59d3, 0x4f56bf19, 0x2feda362, 0xb1ce24cd, 0x511f20f3,
+    0x4ecebde6, 0x29d01441, 0x0636b8fe, 0x6af3ab2f, 0x4ecccdfb, 0xb0764fff, 0xc4a95f46, 0xff5b2ad0,
+    0x5e49f1f9, 0xe3a60532, 0xbe2f3aa6, 0xf7b37e20, 0x6c955520, 0xa8ef4381, 0x644b47c9, 0x1c57dfac,
+    0x02967e9a, 0xa00e70a6, 0xac2faac0, 0x2f70f4e0, 0x1b20545c, 0x85e96a2c, 0x9d8d621d, 0x63fbf16b,
+    0x3e862eaf, 0xa9ce4562, 0xe7250ae0, 0x4fb23bc9, 0x747a1e35, 0xb8aa54c6, 0x21db403e, 0xd7290c64,
+    0xb6a890ca, 0x86513dc0, 0x68b4743b, 0xf57a18d4, 0x2d6cf584, 0x775dd0f9, 0xd42f06c3, 0xdd6c3054,
+    0x22768e6e, 0x0b80766a, 0x11cc5232, 0xf889bcf0, 0x021ed822, 0x1fa61086, 0xe629f149, 0x403011d1,
+    0x0d070913, 0xe99104b6, 0x2128a86f, 0x5eb92ce7, 0x05215455, 0xa9cc3339, 0xfe5d058f, 0xf5f11601,
+    0x05595a3d, 0x55b3fb4e, 0xfc59799e, 0xf165432a, 0x9be5bd91, 0x831dffff, 0xcd91d69f, 0x8ea1625d,
+    0xd9d3abbf, 0x89c20734, 0x975c4aae, 0xdadacde6, 0xb122b119, 0xb92e30c6, 0x220f4241, 0x7763d2bb,
+    0xfb774dc8, 0xb41c352f, 0x5dd34ec7, 0x4e65fe71, 0xdfdb075f, 0x3b2ab275, 0xb083fe8b, 0x810d77e3,
+    0xca294fac, 0xe994f8a3, 0x2e68eb7c, 0x3a42caa2, 0x3f600198, 0x412d0317, 0xbb7bac37, 0xa418f1ca,
+    0xf843049e, 0x60f62401, 0x604a6f19, 0xd4632473, 0x6b6ff924, 0xf5510781, 0xb7349f67, 0x8ce459fd,
+    0xc4250daf, 0xb0016226, 0x286d2ebb, 0x05e4bd2d, 0x938076ac, 0xa62edbd1, 0x517c1b7a, 0xf22a28ba,
+    0x91964f08, 0x2ec8ec16, 0x944fba29, 0x7f438592, 0xf4e7274c, 0x3c090e99, 0x1399a255, 0x31a5e86b,
+    0xc9aa62c9, 0x20640f27, 0x7a8115b1, 0xafd1508c, 0xa9e26e45, 0xa3bba997, 0xfc6562f3, 0x8307fcd5,
+    0xf7549a15, 0xc5c1d316, 0xa53755bc, 0x21c3d106, 0x80277ce6, 0xa5efde62, 0xcb9131d7, 0x3efa6453,
+    0x37695601, 0x4b6ffd8b, 0x7567dc65, 0xb51e3e0b, 0xafb5074b, 0x52e4654a, 0xdd9ff7d6, 0x466210a8,
+    0x53dd35ac, 0x8b6986bb, 0x48cbef34, 0xfde1f16c, 0x6e86e70c, 0x1fa7450c, 0xdc649b90, 0xcbec1f4e,
+    0x0a5cf3c7, 0xf465abed, 0x96949de4, 0xf71ef424, 0xe6b4a3aa, 0xc3eee4af, 0xd0b5bf8c, 0x3dbc06c6,
+    0xef2c41c8, 0x1f1f8723, 0x39157fc6, 0x12b787dc, 0x0d56c359, 0xbdb2c8e7, 0xc3cc9527, 0x8268a2eb,
+    0x74c81f37, 0x6cd4a74f, 0x13e42337, 0x80aeebdc, 0x1231ba0d, 0x86e3d2e1, 0xfc348774, 0xf9b0df85,
+    0x8a30e798, 0x6ed9b87a, 0x42ce0124, 0x2e87943e, 0x52ef2944, 0x9bdb47b0, 0xfe798435, 0x4b4c325a,
+    0x09f5880c, 0x11162b35, 0x3c12e9b1, 0x2698ea69, 0x97651d90, 0x87dd9f30, 0xb8bbbb5f, 0xd0021f87,
+    0x4ea1b1e4, 0x90904672, 0x0858bf3b, 0xddf39aa6, 0xd646933f, 0x1bfafac8, 0x48344ce9, 0xee552f41,
+    0x2097eabb, 0xe2ee6bf6, 0xaaae3d78, 0xce776323, 0xb9c992c2, 0xc89cfe83, 0x1452e46c, 0x6e62d7bf,
+    0xc456388c, 0x4701f47a, 0x12f1b19b, 0x4054da4c, 0x7b4418fc, 0xc84921c6, 0x8e06f175, 0x5fae7176,
+    0x8186befc, 0x63241b5e, 0xceac7950, 0xcee9aa73, 0xd893df4e, 0xb6d3653d, 0xb29b2532, 0x32804b21,
+    0x855822ea, 0x8c0a5032, 0x3fb8767e, 0x2e12d7ba, 0xe46e2a53, 0x5adc7c0f, 0xf89cd13e, 0x969b2741,
+    0xc8fc5252, 0x41dbebf7, 0x808af530, 0x9fbcbdf9, 0xc767bb6a, 0x3b0b4a18, 0xa105ca5d, 0xb427204b,
+    0xb4130d01, 0x322ab815, 0xed28b169, 0x198a66dd, 0x67437fe1, 0x91a000b0, 0xa8afa1e1, 0x288912f7,
+    0x108192c9, 0xf26ed86b, 0x80d24949, 0xa1646514, 0x0a5166f9, 0xf16523e0, 0x1206dbde, 0x6c9e879f,
+    0xace5b4e7, 0x6f652d99, 0x1cc08914, 0x388312a8, 0xe2ca6600, 0xb6f05edc, 0x87095183, 0x84bfe0bc,
+    0xe4439a60, 0x04603b08, 0xe6fc533b, 0xff4f231a, 0x288ad1ef, 0x3d892c3b, 0x83916551, 0x269523dd,
+    0xcb476b45, 0xba962f5d, 0x7ef3ea69, 0xbeb23247, 0x3a1b7229, 0x86f06937, 0xc5dc3e79, 0x47a2eb26,
+    0xb8c9b62b, 0xa4486ae9, 0xf977ebeb, 0xf4cf2a8d, 0x28167125, 0x2f000195, 0x36e19fce, 0x9af09eb1,
+    0xb1b4c6b5, 0x9c44d498, 0x2ee81d53, 0x1c70841a, 0x48d9ccf1, 0xd803112a, 0xad8b2f7b, 0x9e22c746,
+    0xc10afb71, 0xca6d650c, 0x93787830, 0x8ebff1fc, 0xfd1a0650, 0xf183991d, 0xd4f05ff8, 0xbc3cda87,
+    0x98d65dea, 0x4f04a505, 0x257f32da, 0x53906e5d, 0x245213e8, 0xc5b15d10, 0xc9c8c9a8, 0x85ec791a,
+    0xee3d8fb8, 0xb23cb5b9, 0xb5411e45, 0x9aa00c4b, 0x6107cd3f, 0x8bed8f7f, 0x4a01265d, 0x82781490,
+    0xe956b01d, 0xa6619653, 0x779f59da, 0x14bf634c, 0xd6cef959, 0xff50a9aa, 0x02b46e5b, 0x4f6a94f5,
+    0x33812ec6, 0x5eee45f9, 0x33ec1068, 0xf2989c1f, 0x325d99dd, 0x7251b68a, 0x0399d135, 0xe6dfccfb,
+    0xbe507809, 0x40409944, 0x4696205a, 0x22c780eb, 0x5f019680, 0xb10454bb, 0xf5a4c321, 0xf88e1aa5,
+    0x9c1234f7, 0xf01d8df1, 0x4b48afaf, 0x08af296b, 0xf08a805f, 0x33cce822, 0x4bef3b4e, 0xd627ec38,
+    0xf711f05b, 0x0d9d7aa3, 0x82e12afe, 0x70b63726, 0xacad00b1, 0xb8e92d1e, 0x92877fc6, 0x6d465774,
+    0x346f183b, 0xe0e09f6b, 0xb7ea25ba, 0xada1b4bd, 0xc9e1ef2a, 0x9ba3dff9, 0x04ef90c2, 0x9daa9584,
+    0x4ac5467c, 0x2af8848b, 0xed20a1be, 0x140318b7, 0xd98a747a, 0x2d5d2681, 0x7ec3a5ff, 0xb7b55a06,
+    0x15c48e01, 0xa5ba4923, 0xf2f78c63, 0xbe3089ae, 0x05239753, 0xc6d416cd, 0x29e706d0, 0xabbd9916,
+    0x4bbff8e4, 0xcf1b98f6, 0xb3c3834d, 0x73a44606, 0x06295cc9, 0x731082f8, 0x1a30a833, 0x5ca65b70,
+    0xcbf57532, 0x448a2e3d, 0x9d1133d6, 0xa40f6b04, 0x7238c250, 0xf0067f1b, 0xf212b4fd, 0x3aa07779,
+    0xced50464, 0x651b4ccf, 0xff15b6f7, 0x38337266, 0x3748ed1b, 0x72653646, 0xa773d3db, 0x8ecd8233,
+    0x4adf88bd, 0x0e78bb74, 0x711475fa, 0x140f83ad, 0xdc2a5a1a, 0x6e562b18, 0xd2113a68, 0xc99b903f,
+    0x45103d32, 0x4b86b02d, 0x5e638d6f, 0x019337bb, 0xe67aee9c, 0xaadefcf9, 0x515c268f, 0xa0cb1193,
+    0x175ce3d6, 0xc6dc4c4d, 0xf0f99fe4, 0xb09a22c1, 0xb8e916aa, 0x0b9c29b4, 0xcfd5fd58, 0x9da593f0,
+    0xfd6a6c2c, 0x1ad2c10b, 0x79fd8e0d, 0xd913de14, 0xdc5bb1f6, 0x4573281d, 0x50d6bd7b, 0x273ec423,
+    0x4af656d2, 0xc31866e3, 0x1d04aeff, 0x1cd3b0ea, 0x21318d44, 0xc24e6103, 0x93be1ae1, 0x8bd31477,
+    0xd2a8512c, 0x5ec6b3be, 0x6112800e, 0x1b55fcd7, 0xa5a5462d, 0xb78617a9, 0x9164164b, 0x3ced2527,
+    0x31335ee2, 0x2a58a682, 0x566e47a8, 0x46e54b44, 0x632f5885, 0xda48384a, 0x5b142819, 0x26216deb,
+    0x84d12672, 0xdf9dcf9e, 0xd391670f, 0x0088762a, 0x30bfdaa6, 0xb4875b46, 0x617ef5f0, 0xce3c838c,
+    0xeea7a548, 0x72f63a3d, 0x61ae7999, 0x5321b665, 0x7a1b13b3, 0xa2066a50, 0xc2185bf9, 0xe29267da,
+    0xce620cf5, 0xd30a37df, 0x21dedbb5, 0x25f171f8, 0x128372a5, 0x4913a6bd, 0xe431e1c5, 0xdeb566ab,
+    0x5171b87a, 0x35e81d1e, 0x0fead645, 0x0faf0f0b, 0x83c684de, 0xe7f0c96a, 0x7ca4db91, 0xcd08ea15,
+    0xdffa5969, 0x963ee4a6, 0x8d15b693, 0xcdf98b21, 0xccab98d9, 0xcfe9e5c6, 0x10d26bf3, 0x3e19e7bc,
+    0xf68214dd, 0x5fe5df97, 0x801104c3, 0x753bfa3b, 0x80259a3f, 0x9dfecd74, 0x49782906, 0x1fd62966,
+    0x6110711e, 0x2e80c2ae, 0x07e711ae, 0xa337177b, 0x87e3d6f0, 0x68e0d0a1, 0x149795ba, 0xf9ec7628,
+    0x52b591bb, 0x7bf328eb, 0xdb799a67, 0x552a4efb, 0xef32a0e3, 0xbb2aa4a1, 0x676c62c7, 0xf6a983ba,
+    0x36d2b8b9, 0x6fe97b7d, 0xd5eddf4b, 0xa78bce54, 0xe1b0f2a8, 0xd8b749db, 0x759657da, 0x1fbaa4d5,
+    0x9622d955, 0x2e67b8bb, 0xddde9b90, 0x873049ed, 0xdada128d, 0x36b3a2f1, 0xb7280afc, 0xcd993d70,
+    0x45e5ed96, 0xf65dc0ec, 0x6e0f113a, 0xfb20f9a2, 0xb5921a8d, 0xc59a63f3, 0x949af244, 0x2f7532bf,
+    0x6c7b1e75, 0x595e59c9, 0x6f650d19, 0x21c5212f, 0x7c581263, 0xe3289502, 0x28d8a889, 0x01d2a0b6,
+    0x9a2e35d5, 0xef2e01e2, 0xa64a5673, 0xa39a1779, 0x0c8f5a55, 0xacc1dc49, 0x9688869b, 0x02c5e2af,
+    0xccacefef, 0xb8ca9cdc, 0x46da5443, 0x3549c0b8, 0x30284b22, 0x83e9ad7a, 0x448b8850, 0xb993aa2f,
+    0x54b1cd58, 0x6b2fbfb0, 0xb4f78328, 0xf4d8350d, 0x6c1f97aa, 0xeade5356, 0x5159e0ed, 0x163be452,
+    0xb7be62b4, 0x518afebb, 0x3b474794, 0x77ca8530, 0xf0430b27, 0xc823219b, 0xf39c8d76, 0xc9a1f64e,
+    0x11ea2b01, 0xe9ee2e89, 0xf0a9a4d7, 0xa4792341, 0x35854113, 0xcd21d379, 0x06561ab6, 0xf895c419,
+    0xe9cdd0b6, 0x425c9b12, 0xd1125531, 0x7f2de4fe, 0x985aad49, 0xa3a221f2, 0xc9fdb926, 0x5e2ef051,
+    0x0ce3ebc7, 0x88bf2d49, 0xdd14ddcf, 0xca6b8a24, 0xc235edf7, 0xc4ad4c4c, 0xea1d9722, 0x46bdbab6,
+    0x77328d8f, 0x88717355, 0xbcb6ec7d, 0x9f576f28, 0x6d1de1bc, 0x427ec369, 0x531c4996, 0x7d959aef,
+    0xfc96003e, 0xde19a8f2, 0x5eab64c5, 0x599cf699, 0x4dab2d64, 0xf3cd2b5d, 0xbc3a4ff6, 0x944b682f,
+    0xdbd70e5a, 0x522ba3d3, 0xcdf6038d, 0x3bd36e84, 0x4145accb, 0xf99d1c33, 0x80da1bd5, 0x0b921a33,
+    0x90229a09, 0xa42fc2a0, 0x85aabc58, 0xe85749d4, 0x969fec63, 0xb868679a, 0xaa1c095e, 0xdaf24a40,
+    0x649c9643, 0x8f4781c1, 0xa0fa1680, 0x047fa854, 0xb32281b2, 0x97bbf7bb, 0xe3ca5331, 0xa3374342,
+    0x69083b09, 0x20563981, 0x35085c99, 0x0ff51c87, 0x83424c5b, 0x4383c102, 0x518dd66f, 0xb8fa3f1e,
+    0x83da4d82, 0xdf92663c, 0x01ca526f, 0xb8eb00c2, 0xf205db94, 0x734710ec, 0x41e41b0f, 0xb3f08760,
+    0x726e385a, 0x39ab0a40, 0x0418b027, 0x56df7fcf, 0x6c4c1465, 0xb1e48463, 0x39bd3716, 0x1b3035b4,
+    0xf39552ed, 0x8f01733d, 0x321ad734, 0x787b3734, 0x638f3971, 0x143daec8, 0xc94b7503, 0x67d04ee7,
+    0x20bf4bae, 0xe21b323d, 0x9422da26, 0x235290dd, 0xc1640e74, 0xdf0cbb7b, 0xaca80931, 0x8a172b59,
+    0x655975f2, 0xdaa1b28c, 0x2a219714, 0xcb3dc17b, 0xf761f7a8, 0x6fd57627, 0xcb1686f0, 0x24a617bc,
+    0x72f69ff4, 0xaa392178, 0x2bbe7db5, 0x5d495272, 0x9474dfc6, 0xdb2570b8, 0xe6a17ce4, 0xcf00f965,
+    0x7a479b02, 0xfd314a2a, 0x52beaf53, 0x3f0fc9af, 0x2ec3384d, 0xfba9524a, 0x24f3ff02, 0x16d0e255,
+    0x2378abfb, 0x6bd28d9d, 0x553ee81f, 0x550c7211, 0x0f12c002, 0x50b94e85, 0x1c7ad956, 0x632755f8,
+    0xaeadbfc3, 0x3631c1ef, 0xe463e15c, 0xec77a15a, 0x7c467c94, 0x16e818b1, 0x339fda63, 0xaf56aed9,
+    0xd2927ed9, 0xf2d29007, 0x0c1eb250, 0xfbd344cb, 0x1608b508, 0xfe0d6305, 0xe2bd0757, 0xe0611c4c,
+    0x677e73ef, 0x32e4ef65, 0x2341203f, 0x40e565a8, 0xbd3262e9, 0x9201c43f, 0x1f695dd8, 0x893aed7a,
+    0x8d25c999, 0x003de4f4, 0xd01ab6f9, 0x3344324d, 0x83439a88, 0x188e9d20, 0xb4d57704, 0xa5ad3d83,
+    0xf0d338b1, 0xbaf59f12, 0xb1ed3223, 0xee71d11a, 0x36cda34e, 0x576d3c54, 0xb612c543, 0xb098d2e9,
+    0xa841e9bd, 0xb78fa155, 0x612ef68e, 0x6d53cf92, 0x3c1061fe, 0x680b6282, 0xdebaa0f5, 0xd2ed2310,
+    0xf2014c41, 0x6d80bbbf, 0xe0300385, 0xc8eea246, 0x19b15653, 0xc8204134, 0x127bd95a, 0xdae9f290,
+    0x71ecc634, 0x5383bc58, 0xa2d7fa81, 0x4ec7b24b, 0xad656c25, 0x96fef19b, 0xfdbf1b76, 0x67a4f263,
+    0x9a886c44, 0x81dbce38, 0x5477a810, 0x5615e380, 0x5084c1a9, 0xf499a69a, 0xc7402064, 0x0ca9d1dd,
+    0xfa4e876d, 0xfda1ba0c, 0xc4257ec2, 0xe7bf171e, 0x16ded577, 0x54d7ff8a, 0xb15832eb, 0xab5e5efa,
+    0xc666a33f, 0x8a501edf, 0x9c1a83d1, 0x5eb44d82, 0xa433d1ba, 0xaaa3efc5, 0x58d7d0a9, 0x2b72fa33,
+    0x59df6144, 0x1086e10f, 0x4a301e8e, 0x94cbc43b, 0xcc4f96ea, 0x0393c8bd, 0xf97e54b3, 0xc772723d,
+    0x4ba7b416, 0x0109c0c2, 0x7a5f7eb3, 0x7442bc91, 0xdb5e8a61, 0x5d0c4e42, 0x379dd545, 0x95fae489,
+    0xfc933d3f, 0x3245ac63, 0xd102271b, 0x847569ec, 0x981f3507, 0x5e5cba5c, 0x8144e0d2, 0x99f58968,
+    0xa0e26a2d, 0x70d047fe, 0x9f7edb35, 0x9600b838, 0xc2675557, 0x0336a7f3, 0xec1f34f9, 0x05877f7b,
+    0x0172cad8, 0x0dadaf07, 0xa3429179, 0x6f954043, 0x6f7b0da8, 0x5c3c3916, 0x3bd4b34f, 0x928eaa01,
+    0xdb1f49a9, 0xe9418039, 0xe870c593, 0x611ed676, 0xe30e0a47, 0xe29ef109, 0xadaa106a, 0x3c30b018,
+    0x56635d3c, 0x4c5b0861, 0x0632b7fd, 0x224de032, 0x64e003f7, 0x2aeddcdc, 0x80f2711f, 0xcfd377fb,
+    0x00000000,
+    0x7fa9a359, 0x9ebca11b, 0x49c52f42, 0x5c1db415, 0x1622ae0c, 0x2f99af02, 0xf7d187a6, 0x16e49537,
+    0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000113568550671188576648331844982500708492756462607393446918\
+                          98284362197488876771842551971735167402555711886914400097909030211478150447104 */
+  { 0x00000000,
+    0x5871656a, 0x28b80e07, 0xfbc4969c, 0x9c559dc4, 0x00800b8b, 0x76374aac, 0xfa57ba65, 0x85082afc,
+    0x87afb3c7, 0xc866587e, 0xb933a4c7, 0xc777a9cf, 0xca3f2612, 0x760ec9af, 0x1986df84, 0xeca098d4,
+    0xea833f05, 0x479f1d30, 0xb745b70f, 0x0ef7ee68, 0xeadf9166, 0x7f865fa7, 0x8c07eaac, 0xa0d49b76,
+    0x548fe397, 0xce008578, 0x465b390f, 0x66fe52ad, 0x438c02a2, 0xa462d13c, 0xd24954cc, 0x8fa86955,
+    0x970c2787, 0xd2319299, 0x8c1ed3bf, 0xfe256f35, 0x6011618a, 0x2a6be3eb, 0x12acf84d, 0xd2bd423a,
+    0xed33c3db, 0xbd95e7b1, 0xde5f7c88, 0x2e007002, 0x9b3eada4, 0xb80921bf, 0xba91ad68, 0xb5a408ec,
+    0xbdcbb338, 0x027537e3, 0x4c48b818, 0x52a6c4ac, 0x5c96a20f, 0x6c6c3588, 0x9c23e6b4, 0xcf0ce128,
+    0x1f1e8cae, 0x91c106e8, 0x88ad3182, 0xb59fddf5, 0x3776ae8a, 0x23164336, 0x0a19d979, 0x399b58cb,
+    0xa88115e2, 0x5462e1d1, 0x0d785b49, 0xf1f09476, 0x527490bc, 0x89d6a73b, 0x75581361, 0x2c671a95,
+    0x66acf4fa, 0x67e27292, 0xbfbcf455, 0x8af831c1, 0x1a618dc0, 0x064ebe65, 0x954da2f8, 0x1c0ac136,
+    0xd238f16a, 0x89c05d19, 0xc0afc8e2, 0x711198e8, 0xb380be22, 0x324402ee, 0xa10c062c, 0xa538f874,
+    0xed416a45, 0x37862cdd, 0x45c2e47b, 0xe90afc5e, 0x44571bcb, 0x15bb2e25, 0xa33fee4f, 0x487de1c6,
+    0xd3cd816f, 0xdb7333cb, 0x2ea8c05d, 0x9e6c3c50, 0x4b5eaee3, 0xf11eaa1c, 0xb0670cca, 0x6f187b5a,
+    0xb189c910, 0x5e792b07, 0x959ad9cd, 0x48517c7d, 0x0d8aa246, 0xabd080e7, 0x7ed20d4d, 0x044bc038,
+    0x3fe564ad, 0xf773e7d2, 0x7c96a94e, 0xee786cc5, 0x6481fb5c, 0x4f8b19c4, 0x81274cdc, 0xe4055e51,
+    0x8eefd122, 0xf7e41795, 0x0d550ee7, 0xabeb1ff9, 0x4b93e995, 0x3900a7e7, 0x55724dc2, 0x5783d5e2,
+    0x2d43cfbd, 0xf8248d33, 0x993e4864, 0x2b5e4f7b, 0xaf5ad4ee, 0x0cff20a2, 0x0e54949a, 0x0b262265,
+    0x6941fa6e, 0x763bd225, 0x4acdc550, 0xfe35e130, 0xec96fbe1, 0xb5b25438, 0xd0281143, 0x4fff4baf,
+    0x74979e7c, 0xc48cc94e, 0xad86a47f, 0xeaee0bee, 0x02f542c4, 0x8362b193, 0x4572a2f8, 0x686f91e0,
+    0xd1ef9339, 0xd9c59b6f, 0xe2613c05, 0xfc3a0f02, 0xee318358, 0xfe825865, 0xf674cecb, 0xf13e28c9,
+    0x4d166160, 0x9f5b9359, 0x7deb9fd2, 0xd9ea4c09, 0x67268403, 0xbca969ec, 0xddd6a50a, 0xc06b0b58,
+    0xc9fab624, 0xe974dcb2, 0x27ce2a8f, 0x12f1ddc2, 0xdc873729, 0x59a65705, 0x105735a6, 0x6b688fe7,
+    0x95da068c, 0xd12773b4, 0x54898dd0, 0x445ab5d0, 0x837ce4c4, 0x7cf661ce, 0x388ccd2d, 0xbf46a893,
+    0xcf414e27, 0xacae721f, 0x79587689, 0x1cbbdeb8, 0x7d0ad248, 0xc5fcc41a, 0x45c4fdb5, 0x85a6b6ad,
+    0x7faf131f, 0x46572b17, 0x2dc80692, 0x070445e6, 0xdb3b2b21, 0x35464415, 0xcad6217f, 0x4754898b,
+    0x50c4c91b, 0xf741dbf5, 0xbb487f02, 0x5dedbff2, 0x47236304, 0xc8fe943e, 0xca01bd00, 0xa8f75b98,
+    0x68fafa48, 0xa4557aef, 0xad133ac6, 0xa19c4994, 0xa2d42816, 0xa7eae295, 0x397ae0ce, 0x67bf0ce5,
+    0x98571a58, 0xcfa3154a, 0x84f4e33f, 0x85171f49, 0x3b6fa1c4, 0x18116a09, 0xb680dbbe, 0xc9b7ff26,
+    0x9b230955, 0x4451d019, 0x97a7f9c5, 0xcc41b6ce, 0x62c787a5, 0x420ea186, 0x54d2d6e9, 0xe520d3b7,
+    0x96255734, 0x967ac959, 0xb9e0cf2b, 0x4d8fd649, 0x105e2be2, 0xedf83385, 0xc7facbef, 0x1cd77f93,
+    0x1df0c036, 0x07f6159a, 0x2a683e6d, 0xd796288b, 0x758b5026, 0x79dfa7a6, 0x827004a5, 0xa2eaa289,
+    0x8f0418de, 0xe5ab5133, 0x71a8ee86, 0x34bbed3e, 0xf369b56a, 0x76c66e20, 0x2c35921a, 0xbcc998f4,
+    0x530799e2, 0x90bd8517, 0x0899d469, 0x7680e5ae, 0x69e13088, 0xe3fbc6bc, 0xc7e513b8, 0x7528b83f,
+    0xdf5d37c3, 0x3aa0f584, 0x1a7b7c3d, 0xd62aff49, 0xc918d68f, 0xcc0e4383, 0x94494f38, 0x28af24f3,
+    0xf3692cc2, 0xe6634882, 0x135630e9, 0x6a11ca31, 0x2deea80b, 0xcf121820, 0xd5378fd8, 0xbc219c8c,
+    0x28af86a2, 0x39e8c771, 0x2e7547a1, 0x0415662c, 0x631d2315, 0x03ee7912, 0xfc9a1be7, 0x5d762bd1,
+    0x4e746371, 0xe48ec160, 0xe7e5455e, 0xedc51ccf, 0x605bce80, 0x4775e76a, 0x085872f0, 0x694a7115,
+    0x37cecd4a, 0x753bdc8e, 0x27d3745c, 0x8db7513e, 0x23bb3323, 0x521a3fc2, 0x3717716f, 0xd1be5b78,
+    0x127136d4, 0xdcb04984, 0x6de4f315, 0x62188b13, 0xfde5f538, 0x827184c9, 0xa4081804, 0x899b089a,
+    0x7dcac3b5, 0x68009a82, 0x33709811, 0x3a0627b6, 0x79933e31, 0xde57cb66, 0xce740368, 0xd2af5de9,
+    0x0aa29d17, 0xd14e94ec, 0xde74d350, 0x630f4995, 0x919cea22, 0x9e5bcb61, 0xffe1a3b6, 0x10ec603d,
+    0xe19bb839, 0x2d69aaf2, 0xb53fad42, 0xfd401c68, 0xa4632371, 0xba7cb829, 0x8dcd93a1, 0x88954a2d,
+    0xafb6c3c4, 0xfee960fa, 0x28908511, 0x840ac8a8, 0x5965cca8, 0x4305c05b, 0x9d4e1f1a, 0x0aa378b6,
+    0x015ca9cc, 0x3d442598, 0x11d8f69e, 0x2d6038d0, 0x94dfa2ac, 0xaceb5274, 0x1ae08829, 0x3978e391,
+    0x5a966181, 0x98c40875, 0x2a275bcb, 0x894bad8f, 0xdf57b26d, 0x71b5892b, 0x1262f42e, 0x73a5d9fd,
+    0xe794d815, 0xbae02088, 0x54286465, 0xc0daa688, 0xb6c3437d, 0x2e006095, 0x54f26fa3, 0xa1e567bf,
+    0x49e0dfd0, 0xf376f1da, 0x2acf786c, 0x21b01797, 0xa84cca72, 0x5e935d16, 0x0a702a81, 0x7b255cef,
+    0x78106006, 0x6094a0b6, 0x88ecddbd, 0x24a7a383, 0x60e87893, 0x1389b2eb, 0xb6159dd4, 0x69d12d71,
+    0xe60700eb, 0x5c9669b1, 0x64c19854, 0x7b7ebd9c, 0x866fac7d, 0x38b13d70, 0xbb92af2a, 0xa389f478,
+    0x4fd11b62, 0x91aec976, 0x3533e2e1, 0x58dcf201, 0xa01c4179, 0x488c9d96, 0xa80c11e0, 0xbdaa4fea,
+    0xe143110d, 0x5ca5b35f, 0x66f5e2c5, 0x2fcfc460, 0x2cd916bd, 0x687a879c, 0xebfd9308, 0x66ec50ff,
+    0x1192c870, 0x70eb0e6e, 0x19ea02a7, 0x5458db35, 0x21a11fe8, 0x898b0ae5, 0xccb7e253, 0xc75e2e58,
+    0x61604f5e, 0x0ab6305c, 0xdabaf680, 0xe93bbc30, 0xd982ddcc, 0x416a4eea, 0x23f706bb, 0x9d6c1503,
+    0x33e3ab8e, 0x994b8954, 0x8db660f1, 0x35e3c427, 0xeee556fa, 0x629d6ef7, 0xd8e511e8, 0x94817004,
+    0xcc7ca12b, 0xda686ad2, 0x79810453, 0x45c1d56d, 0x6e89588d, 0x7851254d, 0x5d5d4a25, 0x41b52a23,
+    0x2a92e27c, 0xdde96efe, 0x53d04e97, 0xabe43260, 0x0a6648cf, 0xe2a987de, 0xf17f4e2f, 0x1f628f87,
+    0xea1d56bf, 0x68ffdadf, 0x41f126bf, 0xc1812900, 0xe4e1cab5, 0xf4a9c0d0, 0x7e08252e, 0x18f0b544,
+    0x7b20c309, 0xd4993709, 0x4fddf56f, 0x981a9fc0, 0xe58629ff, 0xc6922c15, 0x07b5a3d2, 0xbffba0ce,
+    0x329c5bfb, 0x7b7759f5, 0xac0cee24, 0xb080619b, 0x62f53fa6, 0x87d2c57c, 0xf04e17ad, 0xf2cd0b73,
+    0xc42119cd, 0xa5e65882, 0x36f58951, 0x8c19a210, 0x31d75cbb, 0x62abc2b7, 0x225efd24, 0xfb22a628,
+    0x2e1b92f2, 0x5f5589ea, 0x41602553, 0xa2443ef2, 0x1ced50bd, 0x99dc57fa, 0xf112a1f3, 0xf53d75b0,
+    0x432fe9fe, 0x29ce1502, 0x51afbefd, 0x3906c1c4, 0x9e23f97f, 0xb4a10df9, 0x16995387, 0xef7f9ee1,
+    0x47514efc, 0x6e0cd5dc, 0x6c23e4f2, 0x138cdd5b, 0xf87197bb, 0xeb3faff0, 0x9bd64d2c, 0x6f6ca6e4,
+    0x1c35173c, 0xa425eb73, 0x64add116, 0xd31d3bf3, 0xff1949c1, 0x56fd6e0b, 0xa809bc67, 0x63c7fcd9,
+    0xee89d1d7, 0x284b6cc9, 0xa87eb1cb, 0x6cb04224, 0xe3c9bff6, 0xdb7c679a, 0x7e76bc27, 0x95c2acfa,
+    0x2102a0d9, 0x345e8e20, 0x1f82a282, 0x81522c9c, 0x7a915b54, 0xbb7c8418, 0x4ae192c7, 0xf5402432,
+    0x1dd197fc, 0x31466846, 0x8ea597c7, 0x9127551c, 0x574b1fb0, 0x77d10163, 0x37e0dad7, 0x62f7928d,
+    0x8f8e9f29, 0xc2dddd2a, 0x975144aa, 0x5b6b5468, 0x10edc398, 0x95beed3f, 0x947e4cee, 0xa83263ce,
+    0x46cf3c3f, 0x1f2ddb26, 0xb6a41687, 0x5c1701dd, 0x5b9e6c9d, 0xdbf4c3d9, 0x4a8359d1, 0x42c29ad8,
+    0x7c73d100, 0xbdc5e730, 0x18a3a564, 0x4d83348a, 0x00c4c1f0, 0xd3a5c77a, 0xa9ebab7b, 0x272accb4,
+    0xd4fb6809, 0x02f669d6, 0xd4e5038f, 0x1d697616, 0x824cef2f, 0x20a0f5c7, 0x96c1c526, 0x9750b5d8,
+    0x7a896e42, 0xe86a4dd7, 0x731e9bb0, 0xbd95529b, 0xe432b701, 0x65111495, 0x186c0315, 0xc15c42ee,
+    0xaa552c3f, 0xf9526f60, 0x5af6cd8a, 0x58c2ce70, 0x2b74fc7a, 0x69a6e30a, 0x684e65fa, 0xba363018,
+    0x214f2199, 0x95020cf0, 0x2c1bbf7c, 0x53bb6b37, 0xb5778697, 0x21cc64f2, 0xbdc830c5, 0xcdd56858,
+    0x9c0660c6, 0x49bca5d2, 0x33c3c6b4, 0x8e0bdf07, 0x70f43970, 0x599438b5, 0xbc9a7c3a, 0x945cb4fa,
+    0x0bcbbf8d, 0x2f12b401, 0xc45597a3, 0x84e33774, 0x7023a2f6, 0x3340e7d5, 0xa4d30eec, 0x9fc56d2d,
+    0x28be6830, 0x17f2100e, 0x4489e89d, 0x74d6651c, 0x1333d360, 0xc82211c7, 0xaf39645e, 0xec614e4f,
+    0x4c10d209, 0x727388cd, 0xec154018, 0xfbd84fed, 0x398f35f0, 0xeabaf0f0, 0x74da6ff2, 0x86213136,
+    0x24d3420d, 0xc09a7cc1, 0x057c8e1b, 0x3194a1fc, 0xf025e72b, 0x4db1836b, 0xf7af94d8, 0x74b164f6,
+    0xf73d5d84, 0xd0bbe00e, 0x06b98edc, 0x9e1c241b, 0xed88f365, 0x8ff4b9fd, 0x200f095e, 0x1b776ee6,
+    0x1f612fd8, 0x0b2513f9, 0xf987c727, 0xa9cc27ea, 0x97ec4205, 0x1a33cf58, 0x63c06326, 0xdc12941e,
+    0x75cb0da1, 0xdbe45f77, 0x06ce565e, 0x7d559504, 0x05bad9e9, 0x5e08aacb, 0x93071e8a, 0x54242731,
+    0x24b15b46, 0x819b4680, 0x600122e4, 0x75ca3a84, 0x33b0c927, 0x53b2d941, 0xfb435cdf, 0xb7748aaa,
+    0xa8e3b385, 0x4d7011d0, 0xc66c47a9, 0xcd01e52d, 0x0c41a4d8, 0x8a11e3b3, 0x873d8e64, 0x690d7702,
+    0x2e45e381, 0x078f6a77, 0xbfae9d3e, 0xa1793ca0, 0x7d74856c, 0xcfbe8182, 0x8d283884, 0xe0f79a7f,
+    0xd084ef18, 0x30d614a4, 0x43b79e92, 0x394bfb8b, 0x13894d12, 0x736a75b6, 0x31eaccdb, 0x5514ea05,
+    0x6ccf71b1, 0x9722aaee, 0xb6e19d63, 0x4c7c3a48, 0xa6080e93, 0xf23caed6, 0x40f414c3, 0x534411ed,
+    0xed168456, 0xfaec2e8d, 0xf2803fd7, 0xd7cb0b3d, 0x6bbaf32a, 0x5acd0a6c, 0x63a50370, 0xcc51d59f,
+    0xdfc2443f, 0x03309509, 0x938f1764, 0xf2808c6d, 0x73a4f193, 0x8445b43d, 0x61af65e1, 0x892f3c5a,
+    0x1131c733, 0x1347076c, 0x60aea8b4, 0x759678f5, 0xc9676e5d, 0xf93453c8, 0xfd5a436b, 0x1d6eadd8,
+    0x8519b965, 0x736998eb, 0x279d34f6, 0xfae95ecc, 0x69c734ad, 0xe5971075, 0x84e756fa, 0x8b8cfcae,
+    0xb69d9fc3, 0x860399b5, 0x45e21e53, 0x22af2ceb, 0x4b6705d9, 0xb0540540, 0x54fff13d, 0x30551a80,
+    0xb83da01d, 0xb6310128, 0xdafbb767, 0xc9a6406c, 0x5f5a23e8, 0xdc6c8a05, 0xe0d843f4, 0xdf371b95,
+    0x70b35da7, 0xb0dd3763, 0xd370c18c, 0x4a31b251, 0xdec18f85, 0x33f97e94, 0x49a543ad, 0x7e6bd253,
+    0x1499f872, 0x9ce4f6c9, 0x89c74553, 0x4ab9fd9d, 0x1e323528, 0x4b34d9db, 0x31082bed, 0xd97e8c12,
+    0x667fa0e4, 0x78ee2a03, 0x65536bf5, 0xf957ef2e, 0x0f0ee18f, 0x9ed97d30, 0x03f1aca3, 0xa603b717,
+    0xc3d6078a, 0xc504f1e3, 0x26115440, 0x3f7a5cef, 0x0ea414f6, 0xfd8ba5ba, 0x7bcd075d, 0x4aebc712,
+    0xd1ea3ee4, 0x5b1e6e64, 0xa7d44beb, 0x90ada057, 0xc24b4e00, 0xc75b08d6, 0x654cf8eb, 0x32fa0973,
+    0x0b4d234e, 0xb8b33117, 0x9acd2a33, 0xe42ec464, 0x2a17a220, 0x05ad6986, 0x56ff26ad, 0x77dffd9e,
+    0x3fdfd001, 0xd785ec5b, 0x2e1c2717, 0xbfd5ec36, 0x364f05a5, 0x8ea4fd3f, 0xb8727567, 0xbe9ea202,
+    0x38c63c87, 0x513dd0c3, 0x64b9aa82, 0xa1330346, 0x1608b3fc, 0x254abfc1, 0x574899ab, 0x18b64f07,
+    0x94eb77f4, 0xd463a81b, 0xe55efbf6, 0x1bd28863, 0x5dae1e60, 0xddf6fb67, 0x8ea24ad0, 0xa51d949a,
+    0xcffd9509, 0x8d7a7888, 0xf1be22d1, 0x4dee306b, 0x2d7598b6, 0x25b8c835, 0xc79dec1d, 0xb640c454,
+    0xafb3ee01, 0x73b610b8, 0x74c37e2d, 0xe1660813, 0x5f4b773d, 0xad79fdec, 0xa1ec6bc6, 0x01e9b116,
+    0x789234db, 0x2a98f126, 0xaa0a3cc1, 0xf6bc404e, 0x9f0e6579, 0xd73bf3d1, 0xed469eea, 0x4309bd5a,
+    0xa7f23657, 0xd2320117, 0xb0ffeaae, 0x885716ed, 0x5baf7b67, 0x7e571338, 0xb2a90b38, 0xe1ed8d25,
+    0xbc5c195e, 0x42c1cff1, 0x0e99e276, 0x0c1a790e, 0x83389e6d, 0xe3dbdf14, 0xa5cb30b0, 0x7e60409b,
+    0xab245444, 0xd1b7c6f7, 0x496f594d, 0xad549091, 0x92190fd4, 0x5ce66760, 0x620df1c0, 0xe6d2c682,
+    0x461c52cb, 0x16f7a2a8, 0xd13c8621, 0xe43b8659, 0x2de37737, 0x44867300, 0x2188073d, 0xd62d9204,
+    0xf1137166, 0xcb59b266, 0x170a3a6c, 0xc17e2f3b, 0x974f26e8, 0xbfbb10c8, 0x39057975, 0x62c5326c,
+    0x87e1eef1, 0x7d7d5080, 0xec8ed4d9, 0xcd28a51e, 0xa149e273, 0xe0cb3f0c, 0x51620e64, 0xd9cb1ce1,
+    0xc40809c3, 0x5f6eae76, 0xe8aad733, 0x15038581, 0xc3620377, 0x41efa2a7, 0x9666ff63, 0x7d830da6,
+    0x0bde5f0a, 0x237fb60b, 0xedc1ef92, 0x5ac2cec5, 0x3d3fa82c, 0xd31af6f8, 0xb751069a, 0x595d718b,
+    0x7c842edb, 0xeba4e531, 0x9c6acd4c, 0xbe041767, 0xd000ffad, 0x339fdb33, 0x2c6539c6, 0xf305e585,
+    0xe4cb07a4, 0xf761058f, 0x5aae028b, 0x1b4865e4, 0x2af5eb25, 0xdc9ebe4e, 0x97e1a17a, 0xde87f5a0,
+    0x2b7ffbc4, 0xa210b981, 0xf23b13ce, 0x21dcd358, 0x584df90e, 0xeca90992, 0x641c4c74, 0x277c775f,
+    0x49257e93, 0xe7f30a11, 0x79f150ab, 0x2b835bc1, 0xf2727b95, 0x0e8630bc, 0xf03bb275, 0xa6c2625d,
+    0x829a483a, 0x21e39bf8, 0x67c2100c, 0xf7455724, 0xd2692c33, 0xdb559e5a, 0x936ec4c2, 0xa3d944be,
+    0xda618563, 0xf8c19789, 0x553227fa, 0x193a82a9, 0xc93c130f, 0x4711a707, 0x72f6096c, 0x8da8ca2d,
+    0x043700c9, 0x67b7e8a2, 0x3cfa4511, 0x45071c09, 0x3080f4ff, 0xc8179839, 0x17a3f33c, 0x33a84281,
+    0xbfec882a, 0x6902d667, 0xeb4eb3f1, 0x03c9fede, 0x83410bff, 0xed28941f, 0x2e17df24, 0xc62525fb,
+    0x5ac9a0e8, 0xa91e75ba, 0x871bafce, 0xf0a9ec23, 0x0936f842, 0xdb3030c6, 0x952ff083, 0x8802326b,
+    0x92960fbb, 0xed57b357, 0x089ca1d1, 0xc255402c, 0x78302979, 0xb10e640d, 0x3a95c8c5, 0xc8e2c692,
+    0x0a889e9a, 0x9e017b38, 0x2598fe32, 0xbf281d4a, 0x11d89103, 0x21168efc, 0xf735204d, 0x6b646db7,
+    0x139f5700, 0x63749657, 0x5dbaf31d, 0x2f70b41c, 0x91e149df, 0x4325c1c6, 0x02c0f8a8, 0x773ba861,
+    0xc1355f73, 0xc31d207b, 0x8a9aba91, 0xe91a499e, 0xd4ec7dd8, 0xdcb38c01, 0xb86c6811, 0xa319b294,
+    0x00000000,
+    0xbfd4d1ac, 0x4f5e508d, 0xa4e297a1, 0x2e0eda0a, 0x0b115706, 0x17ccd781, 0xfbe8c3d3, 0x8b724a9b,
+    0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000056784275335594288324165922491250354246378231303696723459\
+                          49142181098744438385921275985867583701277855943457200048954515105739075223552 */
+  { 0x00000000,
+    0x8eba2822, 0xa44c4b4e, 0x5f6480d4, 0xc76279dc, 0x36191261, 0x0e0bdb8d, 0x1f4c7f2f, 0xedd641b7,
+    0x33b40475, 0xcc73388b, 0xc88bc571, 0x5fe6dd8b, 0x9b6b5599, 0x38d477c5, 0xfb6e0d80, 0xf5fde33e,
+    0xcb0ed012, 0xb818ba3f, 0x7ea0c636, 0xecde7e5e, 0x9d76f361, 0xa9db5587, 0x420bbe07, 0xbe3dc80b,
+    0xf60cf148, 0x1504c7e0, 0x6ecd41c4, 0x53843a64, 0x29c02e97, 0x53e1cf1a, 0x612abbb7, 0x42cb5cbc,
+    0x2db303e0, 0xdc4e5cb9, 0x0f0df663, 0x48769e96, 0xdbe61fad, 0x560285e6, 0x351b6176, 0xa634e721,
+    0xccdfb4c2, 0x778f94bc, 0xfa9e2c7e, 0x94805f88, 0xbae19b95, 0x3845a24f, 0xe3c4c49b, 0xfe1152cf,
+    0x882eff76, 0x041c2967, 0x98cc2707, 0xcfe8596d, 0x3bfeca60, 0xecbde381, 0xdcef61e0, 0x7dd13f33,
+    0x8378e6c1, 0x3a9f1867, 0xea57963c, 0xa01d996f, 0x7a8ea41d, 0x0891ad1a, 0x4b0d60aa, 0x74955a1b,
+    0x9d319b8c, 0xe60c17c3, 0xc55d86a5, 0x5a2ca707, 0xa18fa02a, 0x7984d1c9, 0x4efcf7a2, 0x51c0b0d0,
+    0x792a08ba, 0x3a1c0ba9, 0xb493074c, 0x7e78d30f, 0x8162fa0f, 0xbdaf6459, 0x25a6061e, 0x1515e940,
+    0x43977ef3, 0xa5d09d1a, 0x598a2772, 0xd4a44f90, 0x138d1bf9, 0x76594df4, 0xd6175baa, 0x35a05ef6,
+    0xdeb09928, 0xde933e06, 0xa2f5375a, 0x95cd8057, 0x221c3535, 0x1431fc69, 0x53b32e1b, 0xf88b58a1,
+    0x9bec14bd, 0xbde767af, 0x4c0a9f9d, 0x1129fb66, 0x6c924877, 0x409572ce, 0x54518b98, 0x34858b97,
+    0x005e66cc, 0x69ecabb6, 0x4e68327f, 0x33fc31d8, 0x2d2fc94b, 0xdc5557c9, 0xfb707d70, 0xdaf91c77,
+    0x43f89e97, 0xe2bedc55, 0x56beb17a, 0x35c8be71, 0x5b9b5d33, 0xc8657068, 0xffe3278e, 0x43591ddd,
+    0xd3ac5656, 0xddd963d9, 0x7b29851f, 0xc75c1a52, 0x660fd8ca, 0x6a8cf713, 0xfadd45f7, 0x56c4dca1,
+    0x864f5f2c, 0x2dec7545, 0x554044b4, 0xc8b8a285, 0x04e1c5e9, 0xa7a9754e, 0x65bae8a7, 0x4f9cd846,
+    0x5b8c8ee4, 0x655cf1b6, 0x75d8f1c1, 0x488111f1, 0xdaa5e80a, 0xfb75c643, 0x008d0df8, 0xd6171252,
+    0x97f3ea51, 0x2d653788, 0x7738eec5, 0xb0a01a28, 0xb9de0fca, 0x0857f636, 0x11368b2a, 0x25f438fd,
+    0x82843ece, 0x1eda44fc, 0x48685810, 0x527327cb, 0x3f938ef8, 0xac8f27c2, 0xf459ab6b, 0xe67a282c,
+    0x9cfedbc9, 0x7e52b1b7, 0x1a69f99f, 0x1df2d598, 0x9515bb84, 0xe8036838, 0x4ff5d03b, 0xabad31f8,
+    0xc32a60ce, 0x7ccd8e0a, 0x478567cb, 0x7ff3be2d, 0x88c1b4f1, 0x2daddac6, 0x0a3e9c5d, 0xfa21b093,
+    0x67978934, 0x9d09063c, 0xb56fbdbd, 0x31e5a6e5, 0x40250e5a, 0xdc17524f, 0xfb98bb53, 0x7892bdbb,
+    0xc7d26541, 0x1f18a81f, 0x7b93241f, 0xa3b54ff4, 0x5b116695, 0x614502e1, 0x59668fcb, 0xab4b0465,
+    0xf750fa0f, 0xccf3f97e, 0x44b46a21, 0x5da27d57, 0xd75a926c, 0x07b2bae2, 0x7103aa0f, 0x87d23af6,
+    0xaa884be7, 0xe33874eb, 0xaaf5a0f6, 0x8e2a928b, 0xd1ef1478, 0xdb667cea, 0x57cd0da8, 0x24fc2e96,
+    0xc2281502, 0xdd8f9d6b, 0xc60b04d4, 0xc4ba7df0, 0xcbd2d322, 0x2f755c35, 0x094dc6a7, 0xe7208b23,
+    0xfe274e60, 0xc0c98916, 0xb158d8dc, 0x738d1f4a, 0x72d97d6e, 0x516d18a9, 0x1a77bb99, 0x09d95f33,
+    0x6030c36a, 0xc1525f7d, 0x1ab0a098, 0xbb9920da, 0x2e2caae3, 0x4039b45f, 0x852fe3c8, 0x84036ab7,
+    0x6accaedb, 0x02ced437, 0x24bee0b7, 0x08cf64cf, 0x3a198aad, 0x2d8e6dfa, 0x2c09a695, 0xffc8fe60,
+    0xb1182bee, 0x2d3233ba, 0x7366357f, 0xf2d3481f, 0x8346f623, 0xc397af0c, 0xa22056a8, 0xead1aa36,
+    0xd6bf3a29, 0x8b315e07, 0x387f3a96, 0x63e49d95, 0xef31fd3e, 0xf4ff627b, 0x55f95c23, 0x4481e4d9,
+    0xc203b35c, 0x248cfb33, 0xd7dfef2d, 0x9d027979, 0xb89656f9, 0x6e3688bd, 0xac5fa8c2, 0xbca85314,
+    0x9d8dd5c2, 0xdba4f571, 0xe6aa406f, 0x5cf710eb, 0x036ad229, 0xa7097d0a, 0xf1c591f7, 0xef6b6daa,
+    0x41ba66c8, 0x7d105c6b, 0x8d521a7e, 0xb9b4a399, 0x989fc87d, 0xdf52145d, 0x2a28a272, 0x97b71fd4,
+    0x41ce2941, 0x6dd6b515, 0xcd2105aa, 0x55319586, 0xc7face53, 0xd519fb75, 0xaa5265e6, 0xf0791262,
+    0x0b5bb9dc, 0x19997d99, 0x9eb85fd8, 0x7e796acc, 0xc6969dd0, 0xaef67f9e, 0xddacfce2, 0xcfdcebdb,
+    0x71fd1e59, 0x78382866, 0xa826f59d, 0xc50ebc7c, 0x6448ec5b, 0xd29501ea, 0x6cf623ea, 0xf62df552,
+    0x4bbb7619, 0x7d802659, 0x90e7fbea, 0xac8b3650, 0x7b6dc621, 0x0e778cc1, 0xdfb838d0, 0xe834ebf2,
+    0x5bb2b134, 0x5c756510, 0x29ccfe91, 0xf4d4e5a2, 0xb432f083, 0x84f23827, 0xffc9e529, 0xcb42211a,
+    0x724da995, 0xf0233de7, 0xfac0e740, 0x76008668, 0xd9732cdc, 0x30b51a87, 0x73b690b8, 0xd2a4cd92,
+    0xe8312d7e, 0x6c305bb6, 0x05ec1848, 0x9d38b32d, 0x594bf014, 0xb450a918, 0xe35544d6, 0x14f6a5e5,
+    0x1f707070, 0x952504c9, 0x9b8ab881, 0xb892b671, 0x2c06b229, 0x878890f8, 0x839ce482, 0x79e25a6f,
+    0x9257d1a0, 0x3101ea02, 0x8d7803e0, 0x01f7a50a, 0x259153db, 0xed387a8e, 0x0495a75e, 0xbd2e5f0f,
+    0x750ad7e5, 0x1374c486, 0x0bff4794, 0x895c956c, 0xa3b44af4, 0x09ca4b13, 0xf6fba59e, 0xdeb280d7,
+    0xd3fec267, 0x57ad715d, 0xc9774ad0, 0xb9e99159, 0x68da5acd, 0x3133b495, 0x096bde29, 0xbef19cef,
+    0x7dfa670d, 0xb39d09ca, 0x4bef6d7b, 0x11a57b34, 0x76a0c583, 0x236ce363, 0x481f7063, 0x3b3b7753,
+    0xa10a31fd, 0xc8f735e9, 0x739b8fbd, 0x4a76b086, 0x3a49b83b, 0x8fae39ef, 0x87d038c5, 0x5137f23e,
+    0x7948c4a1, 0x1b2ea97d, 0x1c091ed7, 0x9827a1c9, 0x8f8a4609, 0x54ca2298, 0x4b9be655, 0xb4dad454,
+    0x1d95ef01, 0x839019f0, 0xf1f1ba0b, 0x0b8ee32e, 0x8e1e8bf8, 0x030a1f35, 0xb033f8ee, 0x253d301d,
+    0x3e2173a8, 0xbbc7d4f1, 0x4e38fe2c, 0xf30f2300, 0x750c9004, 0xb357a3d0, 0xc0b4f9c4, 0x54643e35,
+    0xc0dd3683, 0x2d42ecfd, 0xc9dd3e3d, 0x7b808ec5, 0xb4e3e173, 0xaa104b6c, 0xb7cbcb12, 0x5f06b2fe,
+    0xb958543f, 0xab753f0d, 0xd853a59e, 0x6ecc5d8b, 0x4e315bff, 0xfcc86356, 0x5b65e5fc, 0x6c4048ca,
+    0x3618a8d9, 0x990c62a6, 0xe1297456, 0x25d72971, 0x106f76c7, 0xf58280de, 0x2e87b3cc, 0x7eabc54d,
+    0x0d71f14d, 0x58374f14, 0x2c3b352c, 0x812fb973, 0xf7025873, 0x6ecbc463, 0x58e5dd42, 0x98de10ab,
+    0x879ac543, 0x3912fd79, 0x99c62316, 0x632caa64, 0x7269b278, 0xbc623607, 0x02cfa34f, 0xfa4b06b0,
+    0xd9a5d98e, 0xa83c0fc3, 0xe67db2d0, 0xae3432a5, 0x034d887b, 0x0e973351, 0x8fca1ec2, 0x9b3bbe04,
+    0x3eb14ea7, 0x8c3790cf, 0x58158b0e, 0x1a642ad7, 0x7ca36c2d, 0xf206ea5b, 0x28c55714, 0x97520e4b,
+    0xafc18836, 0x5e3a9093, 0x94a0c9e7, 0x0b38b732, 0x63aa5f80, 0x5208d7ba, 0xe81ad3df, 0x2fae4499,
+    0xcce62cd3, 0x943544ee, 0xfbcbbe89, 0x6c9df522, 0x3158c3e2, 0x931f78c8, 0x121176a7, 0x12c0bd93,
+    0x41ecb22f, 0x27cc6a35, 0xbb010354, 0x4220103f, 0x9051dcac, 0x334ef935, 0x5a68858e, 0x2dd2160b,
+    0x7288a572, 0xb834c75f, 0x56ec4993, 0xfa6f3529, 0xee69badb, 0x35ed7712, 0x09360ea4, 0x3057c5f6,
+    0xdd3ac2c2, 0x6203806b, 0xc3c16a27, 0xed8dbf80, 0x648ce443, 0x9e33aa22, 0x23b53a7e, 0x35eceb48,
+    0x1d89f404, 0xca2b2008, 0x7581adf0, 0x393b59b1, 0xcb7a2a3d, 0xacb29ffd, 0x74d2bcb5, 0x61a5c026,
+    0x0ce492cd, 0xba06feb9, 0xe244c954, 0x4bb3b7af, 0x9d6aaeb3, 0xe7fb7ea8, 0xfd25e337, 0x864fa2b3,
+    0xcf63af99, 0xba89c87d, 0xa9a5f5aa, 0xf8bd8b26, 0x3bd48087, 0xcbc3a4ba, 0x5737d4c5, 0x6452a2ba,
+    0x41adeada, 0xe0725a8d, 0xd11a36ec, 0x6c380812, 0x5e6326f0, 0x4cbed462, 0x4f5c65f1, 0xf1113747,
+    0x78f0262b, 0x9bbdd1ea, 0xfec21d68, 0xd6261afd, 0xfda99f76, 0x0d21f9bd, 0xa167f35e, 0x3a61aa18,
+    0x2d85d78c, 0x49f25971, 0x3b1bdb6a, 0x8c2bfb10, 0xefd85474, 0xee477cb5, 0x79724f9b, 0x6e3704b9,
+    0x27bd35f8, 0x1768f852, 0x74ff5b00, 0x70030fee, 0x3994d9e6, 0x9af6353a, 0xad5aaa37, 0x6ceb5799,
+    0xb0c71ffd, 0x45bf0442, 0x2a6c1c36, 0x612166ab, 0x9257557d, 0x2f934e38, 0x7b0761d1, 0x8fa47c08,
+    0x590d091e, 0x884d56ac, 0x89294b5f, 0x567ad3ac, 0x0e3f0552, 0x8ccbfaeb, 0xa8bed842, 0x9a81f4ca,
+    0xe9ced827, 0x8ea6d265, 0xbe19415a, 0x48790c7b, 0x61c1ebcb, 0xe209b504, 0xf53f10b5, 0x3363f2c8,
+    0xb58ece3d, 0x063d3d96, 0x85e050be, 0xd30c2356, 0xa079c326, 0xcf751654, 0x1c0f5f8b, 0x46743a81,
+    0x8c205a94, 0x8bf5f644, 0xc20cad6f, 0x132158e2, 0x7982b578, 0xc0a75225, 0x09e958ed, 0x62c932cc,
+    0x0c5985b2, 0x4d45d438, 0x0052ee19, 0xd44eab72, 0x823503b9, 0x38e7b806, 0xd165d6a9, 0x6001ae39,
+    0x78e51bc6, 0xb9b8261e, 0x6ead3297, 0x192ab9aa, 0xdf0546ec, 0xa1b95af0, 0x1a8161e1, 0xc5ca1851,
+    0xf3e0ecb2, 0x876c8b38, 0x1bca7993, 0x03edda4d, 0xe1e7f689, 0xba74c189, 0x9b8bb9f3, 0x03d0a32e,
+    0xf9fb6857, 0x602d2ddd, 0x6fbd0a8f, 0xbadc29a1, 0x98427ff6, 0xa3d5ef1c, 0x6f994e01, 0xbb32cdd8,
+    0xa7352d3d, 0x495a1806, 0x955c0365, 0x9a398725, 0xfb925d96, 0xd4f13f34, 0x784c745b, 0x577c9157,
+    0xac845c59, 0xf9d66b7d, 0x81809c8e, 0x53dca29d, 0xddb8e77c, 0xb0704496, 0x57cde847, 0x2cf44431,
+    0x216adb5e, 0xab61bc23, 0x9eaade38, 0x0e2afda9, 0xf32adfa0, 0x80dfceb6, 0xc14616cd, 0x04dfbfe7,
+    0x7f6084cc, 0x224f5515, 0xdd5088b7, 0xc3e05b23, 0xd4a139c9, 0x62a6170a, 0x021c5b59, 0x6f69dcb5,
+    0xdcfdb0d4, 0x7d07709d, 0x90f32003, 0xcb034b32, 0x50205c71, 0x8640260e, 0x26b0f6db, 0x9fb8b544,
+    0x975d4804, 0xac1ebb13, 0xc38b9c23, 0x5cc51817, 0xf618c0e2, 0x1b578b38, 0x994f4c7a, 0xdd6d5356,
+    0xb43932fa, 0x0280d3ab, 0xc247c0fa, 0xbdea20e6, 0x89e4478d, 0x52104129, 0x9a4e3d3b, 0xe9c25d84,
+    0x60bb5204, 0x175e33fb, 0x347b2695, 0x09a1f49b, 0x19e5fdf7, 0xc0002ead, 0x7c167584, 0x70cea772,
+    0xb52fba6e, 0x5c681bc8, 0x94139754, 0xeaa94f77, 0xc661dc34, 0x140de803, 0x82763d27, 0xf93d9252,
+    0x09f0eb69, 0xa68a8731, 0xb208f470, 0xc585aba1, 0xa2a12b7b, 0x85c325ca, 0x536e7de1, 0xa16f60c5,
+    0x1d6ef213, 0x17f48654, 0x00b243a9, 0x106498e1, 0x8eb76973, 0xda4b927d, 0xfe20ebe0, 0xd3d0eed2,
+    0x112e982c, 0x727e58a2, 0x747cdef2, 0x04f2694c, 0x8ce2218f, 0xee401d6d, 0x6956972e, 0x3ed810d1,
+    0xc529f881, 0xedd3c88d, 0xd97457cb, 0x39cddf9b, 0xc8320cb5, 0xd358a94c, 0xdbd5516e, 0x0fd9286e,
+    0x0869628b, 0x1c1bf115, 0xfb2931b9, 0xa1bfa43c, 0x72467668, 0x0355b1c7, 0xcb500ec8, 0x7a75217c,
+    0xc104036b, 0x83d0c294, 0x85a5134c, 0x721d10ed, 0x5134a4d4, 0x754028c5, 0x5252784c, 0x54ceefb7,
+    0xae78cd6d, 0xc1eaf935, 0x2f23f983, 0x6c01e8d3, 0x39ff6b57, 0xeb5fd138, 0x47eb35ad, 0x22f13f0b,
+    0x00116331, 0x4957e56d, 0x7ae16162, 0x37a19ccb, 0xd506c849, 0x63d89b20, 0xf6231e44, 0x4e2a2e1f,
+    0xced76f4f, 0x8a4c2ee2, 0x92f15b26, 0x8dc1eaac, 0xb126e341, 0x437c8f44, 0x5c9702ed, 0xdcb1d002,
+    0x8f909f51, 0x71afa017, 0x55a6e25e, 0x07be4f08, 0x1c37cedc, 0x58af9dd5, 0x8e9bf0e6, 0x0bee1754,
+    0xdb471293, 0xb79d004a, 0xd0d6e704, 0x21010292, 0xbb347092, 0x43b1b7e9, 0x533e5176, 0x258a9eda,
+    0x34be5e61, 0xde4543f5, 0x75ce7391, 0xaa782834, 0x55eb4a55, 0xc44d45e9, 0xb0a90885, 0xc67a8278,
+    0xb5f0ba5f, 0x59ea980d, 0xd3a1e0ce, 0x8e73988f, 0xe79622b8, 0xd142562e, 0x9bf91c09, 0xe7c08c15,
+    0x1f28eb9e, 0x9b516e65, 0xa34335b4, 0x4855b56e, 0xa683c5fa, 0xe626f8be, 0xd6eeea83, 0xb080c866,
+    0x0dff36cd, 0x7454c3be, 0x430858be, 0xa2affb25, 0xc61c4f3d, 0xc7a95c67, 0x9ce3f0c7, 0x431477c1,
+    0x18db4e6e, 0xfd44da26, 0x160c0c7c, 0xf7cbee77, 0x3821f81f, 0x7c69df70, 0xadf409e9, 0xb46ec9e7,
+    0x3de432e8, 0x40e06132, 0x6589e177, 0x5b36975a, 0x155247c7, 0xbfd4db5d, 0xa3cf38db, 0xb4666b05,
+    0x15dff018, 0x8fbb53a1, 0x78eb18e0, 0x31f25377, 0x1f30cb8d, 0xa9664407, 0x7b36058b, 0x141e2897,
+    0xb50e43b5, 0xebbdda2d, 0xe0f205e2, 0xf28c193a, 0x2edcad9e, 0xca8bbcee, 0xa73aac03, 0x1082dd7a,
+    0xc6749f42, 0x43a5aa3e, 0x3103293c, 0xaf4a8b92, 0x5d6187a7, 0xfbf33ce0, 0x93df8025, 0x3d8425ae,
+    0x1ce3b27d, 0x309e1376, 0x16199464, 0x8f0b91c2, 0xea49ea59, 0x45d2088b, 0x7f4f68dd, 0x092d1991,
+    0x5e846d39, 0x9b6f12c0, 0x3a4afab5, 0x64bcaed1, 0x954782e3, 0x67ad767e, 0x6c96b6b7, 0xb51cb4e8,
+    0xd982478e, 0x51414ccf, 0xc27a7dd6, 0xee919c88, 0x3d534b3d, 0xfd790fe4, 0x6ff8298d, 0x1805c7e5,
+    0xdb5fae2c, 0xf23919dc, 0x7192885f, 0x94e0e473, 0xc3a5317d, 0xb4108b86, 0x8a4af098, 0xc42ee15a,
+    0x403c15b6, 0xc4cbc96e, 0x32ba8296, 0x2e29593e, 0x8428f5db, 0x0a3029b7, 0x33548e69, 0x230e0a01,
+    0x9909b08f, 0x6ab7fc30, 0x16c4e2e4, 0x132e8531, 0x01ceed9a, 0xb06b38d0, 0xa6d87002, 0x82ba2687,
+    0xa64378d3, 0x29d2781a, 0x996e7b61, 0x284a0286, 0x034d63e1, 0xdaaee2b9, 0x4b0724f5, 0xee671f82,
+    0x85f55883, 0x3cb1a2db, 0x27a32b7f, 0x2139649d, 0x839603ee, 0x9bd3b8bb, 0xf20c38c7, 0x91be93e7,
+    0xaad63d16, 0xa13f78ee, 0x8294d5d7, 0x8eaa52e5, 0xf66aed37, 0xc7f16718, 0xba4d850c, 0x1d87c47d,
+    0xd8ef7e1f, 0xda95a452, 0xd1a519a4, 0x92f7cb2d, 0x6fc38509, 0x6a1292ce, 0x5f6ce80a, 0xeedd6bb3,
+    0xc24a04ec, 0x9bd75c6f, 0xf2624c47, 0xb41f18e4, 0xa8813728, 0xd705c129, 0x99dbf33b, 0xc0950d32,
+    0x6d8cbd7a, 0xd851a80f, 0x0d4b14f0, 0xdf981f8c, 0x3df8db11, 0x63157590, 0x23549379, 0x0299eeff,
+    0x3e995be4, 0x3bfd3365, 0xd419752e, 0x2a846523, 0xeedc63fd, 0x608df271, 0xc3446b7f, 0xfa773842,
+    0x1fdd3bc8, 0x0a6310a1, 0xb5accfd1, 0xe867f0f0, 0x3b06bac2, 0xe5ce3beb, 0x15fa1061, 0x87df197f,
+    0x6504e97f, 0x314540ea, 0x7ac50d29, 0xc0329e0d, 0x5b58f889, 0xb9a46761, 0x15cda9a5, 0x189af485,
+    0x5b1de6bc, 0x988523e4, 0xdb5c6c50, 0x516a9125, 0xc16c8ba7, 0xdd13ea68, 0xca081e9b, 0x70ab2d42,
+    0x269a0d79, 0x640d88d9, 0x34ce1be2, 0x48d7287a, 0x3e4d95f4, 0xa5340064, 0x4390911b, 0x38976516,
+    0xa1d90b88, 0x7a218d27, 0x4dc7f2b8, 0x3ecf430b, 0x62731820, 0xccfc19c7, 0xf66a5453, 0xcc5653be,
+    0x00000000,
+    0xdfea68d5, 0xa7af2846, 0x52714bd0, 0x17076d05, 0x8588ab83, 0x8be66bc0, 0xfdf461e9, 0xc5b9254d,
+    0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000028392137667797144162082961245625177123189115651848361729\
+                          74571090549372219192960637992933791850638927971728600024477257552869537611776 */
+  { 0x00000000,
+    0x1d8f3d35, 0x7db54155, 0x59211c05, 0x3f73a4e5, 0x253dfbcd, 0x6e2bd4ea, 0xe73f8efc, 0x7265f65f,
+    0x2d2999bc, 0x75cdb09f, 0x165af2fb, 0xe443f3ba, 0x25b62318, 0xdf9bdc81, 0x501d7cae, 0x0c20b63d,
+    0x8f5f34ff, 0x2387680c, 0x0b7dd65d, 0x7669a2b3, 0xb76e56f1, 0xf6574b17, 0x47726840, 0x42b069b0,
+    0x45d8f0b8, 0x629e721a, 0x4f26eba5, 0xe07ee65a, 0x5dc0697e, 0x95fe46fa, 0xa954a013, 0x7a4ce699,
+    0x3dcc4bd9, 0x5fe1fc01, 0xeb635916, 0xb32f552d, 0x577f43a5, 0x0885c546, 0xa79c4fbf, 0xcb7b97fd,
+    0xb21daabb, 0x97648a1b, 0x9a5c5bcf, 0x820bf6e9, 0xc8abb120, 0x03517a8b, 0x91db8aa4, 0xeefafc83,
+    0x42e02163, 0x605fae85, 0xab895871, 0xe3e6f0ab, 0xa3d123ee, 0x80047774, 0x52f5864e, 0x4bd4962a,
+    0x2edae525, 0xd31307f6, 0x488d8aa1, 0xbf0f0246, 0x0149ef91, 0x95eb04a9, 0xa739a207, 0x45a140b5,
+    0x3d22d24a, 0x5e820491, 0x3613943e, 0xd7425d77, 0xbbea4791, 0x5a15fd5f, 0xac7f9ca7, 0x21275299,
+    0x0621fe42, 0xcdf65743, 0xc3e343fd, 0x5b4c896c, 0x7f1de81a, 0xdce9ab19, 0xa802452c, 0x175dcf92,
+    0x10a40ac4, 0x03cdf3ff, 0x4452a599, 0x80a275e8, 0x8e862c9f, 0x9049c3bb, 0xc6c70685, 0x17c938c3,
+    0x6549df12, 0xba64909e, 0x491c9804, 0x9bc965b1, 0x953d8557, 0x154c82e9, 0x898e2abe, 0x54044c7e,
+    0x8fd11ab5, 0x911098aa, 0x2ad9e647, 0xf7ddddfd, 0xb65b42bb, 0x1cdcb623, 0x860088fd, 0x6d9369ba,
+    0x3c3cd487, 0xb00077ee, 0xf3eef079, 0x29a5db26, 0xe190d592, 0x7b877e09, 0x866c121e, 0x00b4a7f4,
+    0x7911c582, 0xbb2c0266, 0x0fe86d32, 0x5b510086, 0x05a0adb6, 0xf6664c77, 0xc4cf32cb, 0x0d190480,
+    0xc5d117e5, 0x932ca159, 0xee4df415, 0xc401d7d0, 0x243c7ffc, 0x8885e0c6, 0x1c7689ec, 0xa06b81fb,
+    0x3e69f33a, 0x6df860b5, 0xb3bf2bd0, 0xf9a58804, 0x63b49e35, 0x152eee9c, 0x1d520d97, 0x3571268d,
+    0x10b0436a, 0x4ce46fcd, 0xdfefdbb8, 0xc352753e, 0x48016d12, 0xd791660d, 0xd617ee88, 0x4f9d3f45,
+    0x56a27ddc, 0x6f293621, 0x9838149b, 0x5ff970af, 0x90dc7f00, 0xfd77fc98, 0x91e6618e, 0x4c8c472a,
+    0x062b9d46, 0x7bd0cfa6, 0x1c2f8eea, 0x3efdf37d, 0xfc7ab86d, 0x7c69f3c4, 0xd2e8c511, 0xef61f46b,
+    0x34b94eca, 0x90a539e1, 0xda49baa4, 0x4e7a9d7d, 0xd27b868a, 0x8cd94992, 0x822fd62f, 0x80c26f9a,
+    0xdf2bea1d, 0x34803f51, 0x59bb6e1a, 0x02a7a9db, 0x796fb3e7, 0xc2728394, 0xa5776c55, 0xf2b53343,
+    0xab3cb9fc, 0xb326c5ac, 0x793783ec, 0x7c318a6a, 0x90e1dd15, 0x5a2da3c4, 0x9dbe7c27, 0xa451ce96,
+    0xd61096ea, 0x062b33b8, 0xcef07b1a, 0x26ea78f0, 0xec4bef11, 0x57b9fbbe, 0xc76570ef, 0x690b96c6,
+    0xb67b6dee, 0x7edab6e9, 0xff96a406, 0xc6ab24e2, 0x638dd78f, 0xdb0c461b, 0xa15d6ccf, 0x597ea69a,
+    0xf4974a41, 0xf4c0212c, 0x56c148f6, 0x08d57abd, 0xd0669c2e, 0xd935cd33, 0xa4516914, 0xb76868e6,
+    0x55f0cdd5, 0xf56adf74, 0xb8508895, 0x903502a7, 0xd6f28dde, 0x5b9e9a88, 0xd6fdf73f, 0x1968c7c2,
+    0xe337082f, 0x458cf8c9, 0xb1602726, 0x0f397ec3, 0x196b22b3, 0xf5e28ab0, 0x7b6c0e3c, 0x446c1cb8,
+    0xe24780d5, 0x825ea13c, 0x6293a330, 0xe46e7e1b, 0x4a77da4b, 0xcc9756fe, 0xdc64fe65, 0x6af419f2,
+    0x4f47ee97, 0x6f8c816f, 0xa0432c07, 0x3d5b3a65, 0xd43a96a1, 0x68725c50, 0xb204e711, 0x53c5517c,
+    0x833ce585, 0xc4cada2e, 0x55462073, 0xd82416f6, 0xc6fd168b, 0xe130c867, 0x95900225, 0x947b074f,
+    0x6ef54468, 0x99db05c7, 0x65110b83, 0xe89c7ecd, 0xa46fd2d7, 0x38e8a895, 0x725b812c, 0xa77d3a7d,
+    0x284016ae, 0x7cea3a4b, 0xff70f454, 0x186fe94a, 0xacab03cd, 0xc80d3d5e, 0xd954de8d, 0x564f6817,
+    0x6b4f24c8, 0xb301e13c, 0x92ebe520, 0x4aefbb9f, 0x075ab0f5, 0x6ffaa976, 0xbfbaddec, 0xf9e584d2,
+    0xdad0e799, 0x0cf5bea3, 0x6d23fe80, 0xcdd083aa, 0x85bc26c3, 0x024c5d52, 0x50f7c3cd, 0x091b744d,
+    0xf9baede5, 0xb91c4f9f, 0xe07ad523, 0x16ce8735, 0x5315c4c8, 0x6169d8ae, 0x723594e7, 0x67d47189,
+    0x04ad894d, 0x939778b1, 0x2f807066, 0x9923ce40, 0xf1586a46, 0x3a1bce84, 0x67eb57c4, 0x16bb950a,
+    0xa705d893, 0x4e4bc008, 0x7db32054, 0xd4649ca2, 0x8a090f5b, 0xe257c9a3, 0xd240bea8, 0x36d85d93,
+    0x6778bfbc, 0x854ff251, 0xa44c4735, 0xfc75481a, 0xa1cd6d5f, 0x63f954cf, 0x190232d4, 0x5fe15962,
+    0x73ad5b32, 0x7d4be395, 0x48cff367, 0x2d30b9bc, 0x84206561, 0x44be8733, 0x55f1e475, 0x6efdb520,
+    0xee8dc80e, 0x75fcc265, 0x408c89d3, 0xd66aa25b, 0x4df30a45, 0x1669a08c, 0xc5012431, 0x625755a8,
+    0x33ec3445, 0xdee928d8, 0xb448b72c, 0x2af986c4, 0xe411ec7a, 0xc4d57b23, 0x2fab5971, 0x34f3cbe5,
+    0x33a54ba1, 0x229b7b25, 0x4cae02bb, 0xaa51d9dc, 0xf91afcf4, 0xfa7c0b17, 0xa814d6dc, 0xc6af0638,
+    0x1847694d, 0x4e98e8f2, 0x7389477e, 0xe85046cd, 0xeb65faa5, 0x12285f9d, 0x99175bc9, 0xd6a656da,
+    0x00e13c3a, 0x891bb900, 0x36813d86, 0xb2e9f1f0, 0x90c2ec45, 0x8bc77f43, 0xb52abdb8, 0xbd977b97,
+    0x0c9bf2df, 0xb7f70706, 0x59d10737, 0x937db5bc, 0x390caf0f, 0xa327d80e, 0xc2febfde, 0xcc9990bc,
+    0xdcbf1200, 0xf1f51ae2, 0x6248dcb1, 0xc7ab478a, 0x89dd3157, 0xd44b080c, 0x719a7904, 0xa5bbdbc7,
+    0xd1c4cb58, 0x9ee49f95, 0xd1b8a72c, 0x5d36c5d2, 0x568276b6, 0x0ace7e45, 0x189c2c8a, 0x620843e3,
+    0x323ea33d, 0xe8f4106a, 0x08370ed4, 0xbc9ce5d7, 0x6d127efe, 0xf58acfe5, 0x7bd431b5, 0x5cc167a1,
+    0xabc9ca6f, 0x10499e62, 0x4967c8ed, 0x8009c863, 0xc045e515, 0x5d94aa23, 0xd75fc3d9, 0xb23f41b1,
+    0xa7b4cf7e, 0x11b02343, 0x2d93c7a8, 0x9c673ed6, 0x704e8763, 0xb01aadd2, 0x9a875e7e, 0x7efedfce,
+    0x710e429e, 0x6b148650, 0x75c6c9f5, 0x58cd8056, 0x8ac9182e, 0x4df1c299, 0x562bb2a5, 0xa350646a,
+    0x80e363dd, 0x8b958f32, 0x78fb0185, 0x7c6f4b84, 0x5b63d01c, 0x080c4854, 0xda7719d2, 0xfe926231,
+    0x11f1549e, 0x7079cfb6, 0xac290929, 0x891d9f11, 0x88d3e1f8, 0xfa8cb58c, 0x06b0057c, 0x9a8921aa,
+    0xef36a78a, 0xf8f07ce0, 0x10e91761, 0x77cbd032, 0xd93ff2b1, 0xbc11a660, 0x1257fe9a, 0x7344efef,
+    0x74624caa, 0x74412de8, 0x4dfecbcc, 0x16807a36, 0x6b784b6e, 0x81c94337, 0xd8c89937, 0x4b960934,
+    0x5f1de4ba, 0xc9549b6b, 0xa5b52b93, 0x3e79fca5, 0x4d845410, 0x7037289e, 0x1252eb75, 0x93e0d644,
+    0x1718bf58, 0xe024f0f0, 0x18cb6bd2, 0x62a0d911, 0x74d2e51b, 0xeb34568e, 0x5dafff00, 0x602c7b59,
+    0x3512cd87, 0x39862968, 0x45bee48d, 0x692e6fec, 0x12df2f39, 0x64a4a34b, 0xfb58d5d3, 0xd889ba3b,
+    0x81fe64ec, 0x4a4dd2c9, 0x69ed67e2, 0xcef07e4d, 0xeb8ae01e, 0xfe2da3c6, 0xa967f791, 0x1abaae5a,
+    0xe4b86749, 0x65a167c3, 0x72f3aed9, 0x074d0a4f, 0x63335adb, 0x7d9de8c1, 0x03f53c6f, 0xab59db1f,
+    0xf7927c7f, 0x77ee7e18, 0x5c122113, 0x9e45cfce, 0x5a06262c, 0x51f96f48, 0x97696912, 0x7bc7db8f,
+    0xd526cfde, 0xe448d7c7, 0x7bb7ac1e, 0xb7bc63ed, 0x80ee534e, 0xc2b9b655, 0xcc6c1550, 0x3e8f4598,
+    0xd882146e, 0xfff26ce9, 0x3783cfc0, 0x943a6a33, 0x703719de, 0x92f0eec9, 0x32914d92, 0x7625713a,
+    0x6598f5d0, 0x5ee0361e, 0x8eed7a58, 0x15b723ce, 0x248604a0, 0xc7f388ad, 0xe11f85a2, 0x9af06ba6,
+    0x7dd34fc7, 0x2337c544, 0x8e033644, 0x74228c8f, 0x85a32524, 0x6c340792, 0x0562bad7, 0xfeb3a2c1,
+    0x6adf3e98, 0xf0ceb97e, 0xdfc22060, 0x97fff319, 0xb5724196, 0x0c69f76f, 0x50ca3d05, 0x1b7e45fe,
+    0x72b93c0a, 0xe70a1340, 0x7506b325, 0x144e0dd2, 0x6b0bddff, 0x8cc3d546, 0x0ad27945, 0x1f977f40,
+    0x721f7368, 0x1b2c761a, 0xb118db42, 0x44cba31c, 0xb11dcbfc, 0xd3c27ec0, 0xe3cef75c, 0xcc48265b,
+    0x4c848f5c, 0xf82dd5e4, 0xbe4ba0f4, 0x467df292, 0x606f0258, 0x0bc35438, 0x222f0cf7, 0x3458cdda,
+    0x8677bf8a, 0x44208bcb, 0xa8ad08e5, 0x63b13585, 0x8e26b595, 0x191adf31, 0xa00443f9, 0x20d63530,
+    0x644df2c6, 0x988ff3c5, 0x49ca12d8, 0x8f6cf018, 0xf8c6c49a, 0x8ca5fbab, 0xfecf0326, 0x7393d781,
+    0xc76e7740, 0xe740dce6, 0x61fa22aa, 0xc4ca5e2b, 0x90277784, 0xa63565d3, 0xc448ac16, 0xf04f36ee,
+    0xad46d18c, 0x96487f4d, 0xa4bb659f, 0xa82f78eb, 0x72ae85c1, 0x974b0b6c, 0xbc122671, 0x9f8b18c2,
+    0x5a2c9a3d, 0xe58be934, 0xa34356f8, 0x982dcea2, 0x0a830a0f, 0xbe284c13, 0x09381742, 0xa8e00fe7,
+    0x4894b787, 0x61930085, 0xdd6cc40d, 0x03b9fbad, 0xa8857ae5, 0xa8cc11a6, 0xcdca171b, 0x5e8cf021,
+    0x7f014b35, 0xe3483900, 0xa3c54063, 0x82835502, 0x4219dc8a, 0x2c5a1d04, 0xebe9c209, 0x19b64c08,
+    0x1965f607, 0x2469df70, 0xba2d4617, 0xa46df820, 0x945d7f61, 0x25a73dba, 0xa5995871, 0xe060adce,
+    0x6f3e94dd, 0xd0e2cb9b, 0x45ea4db7, 0x5eb673fd, 0x34fff2a1, 0x774a9871, 0x6ca00e0c, 0x45f5f67a,
+    0xfc0dc00e, 0xc63d4bf9, 0xc0d86a42, 0x07218e7b, 0x53acbc83, 0xced3f43a, 0xc0f7e265, 0x2022957a,
+    0x886aca3b, 0xecad1894, 0x0a814440, 0x36ee66d9, 0xb0514e1f, 0x3e6cf257, 0xf7be1a44, 0xdde6a8a5,
+    0xaac92d01, 0x39f63776, 0xd3348cdb, 0x73ae66bc, 0x86bc23da, 0xa0bdbb3e, 0x0dc0b7d5, 0x6c287745,
+    0x94c96d7f, 0x31773255, 0xaeb55f99, 0x6514a1f2, 0x3d3459b7, 0x65712ab2, 0xcbaddf4a, 0x80549f3f,
+    0xfd87df10, 0xb1784f8d, 0xf407dbfc, 0x1072fb59, 0x2e171cf5, 0x22c8ac5c, 0x9bd21a97, 0xbead36a3,
+    0x5399f406, 0xc1f0034e, 0x7e25cd9d, 0x03c75eb9, 0xf10d271a, 0x884f9e80, 0x2be4b415, 0xc74912f3,
+    0x247aa753, 0x0007dfe0, 0x2af05128, 0x11780f99, 0x1019f876, 0x75ffd52e, 0xd85dd359, 0xbe56a7d4,
+    0x2052e393, 0x636014ef, 0x7c442b65, 0x36ffaf2c, 0xcda1b56a, 0xe2e3dd56, 0x267062cd, 0x48708694,
+    0x8fd763f3, 0xdd46af6f, 0x7e97b857, 0x59d06d1e, 0x211f60bd, 0x47a12645, 0xd6ef0507, 0x9f1147b8,
+    0x70bafca1, 0xf6b1662d, 0xa3d5cae1, 0xc6d9bd3b, 0x1035694e, 0x9cb32379, 0xe3e958f4, 0x913d1fff,
+    0x263e92cb, 0xe451b22b, 0x29b071fa, 0xa30fafdf, 0x365d16e1, 0x2f2692c1, 0xf7f5b94b, 0x7a25c6bb,
+    0x46da44e4, 0xc9a1105d, 0x9fb8eb8a, 0x48101558, 0xfd5ab9a5, 0x288e4624, 0x9f9dd5cc, 0x0b7f9964,
+    0x12b1d03b, 0xdfea0d15, 0x55b9b37b, 0x065b677d, 0x4481d16c, 0x0150b2b4, 0xbdfbb196, 0x8d929e9b,
+    0x549e47fd, 0xc608ee72, 0x41bf8205, 0xfe3f2ad0, 0xbd332b27, 0xfdb6a001, 0x47cbdb51, 0x4137804a,
+    0xafa9d770, 0x944beec6, 0xe9cd38bd, 0x04dd5ddf, 0xac5b450c, 0xd98120b3, 0x307d7ce4, 0xc5c0d20d,
+    0xf9ff298a, 0x5b77975b, 0xb43f6bfe, 0xbe1dd4a5, 0x2baedbb0, 0xea86d378, 0xc775e1a5, 0xfe935027,
+    0xd79e8a71, 0x60d12507, 0x805a3697, 0xb2a1738b, 0xdb757ecd, 0x227f2572, 0xb5992e6a, 0x7b4f751d,
+    0x7d8cc6a7, 0x3517fdb5, 0xeee6d246, 0x95fd7fd3, 0x712ce2f5, 0x183ca503, 0xdf324b83, 0x222383b7,
+    0x2f6fb69e, 0xe5982abd, 0x4ec6d4b6, 0x077fd73b, 0x316962dc, 0x2ac788d9, 0xd9877a98, 0x8a3f2555,
+    0x127a7e9d, 0xdc56acec, 0x27d2d337, 0x70090fcd, 0x8d328bdc, 0xb7bbddc5, 0xca592480, 0x452ee225,
+    0xed4a96ca, 0x355f86ae, 0x3e6641e8, 0x8979e251, 0xcf67246f, 0xd53f79c4, 0x573d80b1, 0x02c7c71c,
+    0xb5b0f76f, 0x2ec7cfb2, 0x21c58ec0, 0x1fad111c, 0x5601ed6e, 0x92b1c937, 0xb005fdb2, 0xedc54f2a,
+    0xf7bdb765, 0xa7609803, 0x34870a36, 0x0fb0e53b, 0xb9870759, 0x84eb9f0a, 0x823121a6, 0x125c6b53,
+    0xbfcb7aa7, 0xaf72af49, 0x366035b2, 0x31649c49, 0x2d734a07, 0x357fb8e2, 0x62c18567, 0xd0026591,
+    0x1e18d1ad, 0x4fc05be2, 0xda7c4749, 0x19e88326, 0x78b1474c, 0xeee52be1, 0x9401ca37, 0x6288e90e,
+    0xdf2d3364, 0x21d286f2, 0x13bc291d, 0x34364c56, 0x83749947, 0x61c70ead, 0xa12f528f, 0x8526fde9,
+    0x54f4b22a, 0xd5843f14, 0x0e54c27a, 0x816a119c, 0xda189dee, 0x5f90c44a, 0xbce7d0c3, 0x06277f01,
+    0x2afb1adf, 0xfd8aa7c6, 0xbcb327a1, 0x778a73e0, 0xfaa2dd0b, 0x0eed66a6, 0x663999f1, 0xe8305383,
+    0x993b8809, 0xb90e950b, 0xf80c050f, 0xb99d8028, 0x8e119120, 0x8a372fbf, 0x21bcf3f7, 0xde9ca5ae,
+    0x2f797521, 0x0f3b4418, 0xcbbaa1f1, 0x736668c7, 0x7672fc1b, 0x6a6f67fd, 0xfce013b2, 0xec630d4b,
+    0x0e3c7920, 0x059e83da, 0x8b40931a, 0xdadd8459, 0x703a20bb, 0xd8f3f35e, 0x2fb8e8e1, 0xbbc417d1,
+    0x0f6b21eb, 0xe7ce2e4d, 0x0b4ba66f, 0xf92ce594, 0x386a8c8f, 0x68caa114, 0x5b9af5e3, 0xb369578f,
+    0x8ca4e3da, 0x2bc39ee9, 0x60642c09, 0x7407ea53, 0x4c9a488c, 0x1e8aa09d, 0xc351a038, 0x34f260f4,
+    0xa658fe90, 0x6033fc8e, 0x6288a1c3, 0x43cef8ce, 0x9494966f, 0x3bd1ba53, 0x8a7c9cb7, 0x6bf597ed,
+    0x5faa04cc, 0xe9d1a13b, 0xd041c8e2, 0xe697e31f, 0x998b9898, 0x676f8aac, 0x9c356328, 0xa7832a93,
+    0x225cd203, 0x0f76a0b8, 0xe85bdb82, 0x9882d67d, 0xb893a298, 0x8a862990, 0xd152ec25, 0x7751d0bd,
+    0xb6af8be8, 0x43df6a89, 0x99e024ae, 0xd990193d, 0x0f0c2c1c, 0x1886a6d1, 0x52bd31ca, 0x41e7aff3,
+    0xaea54fac, 0x3c94b81f, 0xb06f7d81, 0x88ca3b45, 0xe07a867b, 0x0a427364, 0xd7dc4f17, 0x07b69986,
+    0x7856ce5b, 0x9b5830bf, 0xd52d0f3e, 0x25702abe, 0xa2da08c0, 0xd4112c5d, 0x16738c09, 0x829dbf3c,
+    0xfcbf57e1, 0x88db99bf, 0x963a2ddd, 0x319aa5f9, 0x4fcab20e, 0x73542c1b, 0xfd24a106, 0x07762e3e,
+    0x778d831c, 0x61d670df, 0xf8ab1a08, 0xded11de6, 0x7ae974ed, 0x2a4f8de3, 0x3cc31bd0, 0x0b750a33,
+    0x2b4cbc58, 0xf67f0c48, 0x075f3506, 0xcd40554c, 0x270eea66, 0x1a8aa669, 0xda3ee2fe, 0x6ff00897,
+    0xef3b62ad, 0x72681fa5, 0xf463bde8, 0x1e540789, 0xeda92504, 0x7f2b3a78, 0x56d14b23, 0xac41c36c,
+    0x00c51fcc, 0x4d863b31, 0x46f64eae, 0xf2d01ec7, 0x2a798ab2, 0xf20290ea, 0x5c5eb01d, 0xd8de6b05,
+    0xff9d2ba8, 0xb478c48b, 0x2b2fd727, 0x14f2a461, 0x02fcae39, 0x29efe967, 0x9b6fa175, 0xf6d126df,
+    0xc19ab45b, 0xbab2684a, 0x1479e483, 0xec3e8f13, 0x78693b9e, 0x9db8260b, 0x26a660f4, 0x3b7a253b,
+    0x8f4f36eb, 0xbabba239, 0xce751713, 0x58c1754c, 0xd4b57994, 0xff4d9a2e, 0x04e8e4eb, 0xa1b9bfae,
+    0x00000000,
+    0x6ff5346a, 0x53d79423, 0xa938a5e8, 0x8b83b682, 0x42c455c1, 0xc5f335e0, 0xfefa30f4, 0x62dc92a6,
+    0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000014196068833898572081041480622812588561594557825924180864\
+                          87285545274686109596480318996466895925319463985864300012238628776434768805888 */
+  { 0x00000000,
+    0x0434765f, 0xfcc1e7e1, 0xfa935ffc, 0x4fd1a639, 0x95e91044, 0xc178bdda, 0x91cfe9b6, 0x1cb3af28,
+    0xceaa4ab9, 0x459b3690, 0xe4a2598d, 0x96f71fb2, 0xe25fc641, 0x358970be, 0x6172a7f8, 0x4b587632,
+    0xce5001bf, 0x5327190c, 0xcaf3692c, 0x915c648d, 0x4e89bbba, 0x19d5b22d, 0x37b1d863, 0xb524f729,
+    0xe1fa2b06, 0x601c1dbe, 0x1879ab33, 0x51dc631e, 0xc7cfbf8a, 0xc0f77a61, 0x6a4324c5, 0x2fac7d6c,
+    0xac3d40b6, 0x7980156f, 0xeda6210d, 0x15e476a0, 0xd27a1f30, 0xb1e90f59, 0xc5b84838, 0x476fe416,
+    0xab5b0a5a, 0xdfe0b47c, 0x9ef83bf1, 0x9d60f079, 0xd7cb8803, 0x782299b3, 0xf59a5f9f, 0x5bdfc7b2,
+    0x942623e0, 0x71d68f10, 0xee2a4779, 0x2f1d887a, 0x0ca25d10, 0xde3c2763, 0xa00cd73d, 0xa49f2910,
+    0x0bca80b8, 0x70d4431a, 0xdd680fe9, 0x91b53356, 0xa5f405d0, 0xfd6e9ef4, 0x3af53d31, 0x6308f828,
+    0xc301bf21, 0x65ab08a3, 0x1bf31b23, 0x032e0910, 0xff41713c, 0x78b635f6, 0x8179a7df, 0xef33e2a4,
+    0x8973b588, 0x5bd7d46f, 0xe9dd2648, 0x62e8fa1f, 0xa0191a78, 0x419f4313, 0xde86e790, 0x2f9207de,
+    0x152f496f, 0xc564448c, 0x38c4e746, 0x1ed2dfa4, 0x7f9255d2, 0xa24aa63c, 0xbcd2a645, 0xaf2971f5,
+    0x67c03f1b, 0xcfd0ce91, 0x0d0d810c, 0xaedc85e6, 0xf985b5f2, 0x375d2fa7, 0x56f60f97, 0x8222269d,
+    0xe646f38f, 0xd27305c3, 0xbd6138e2, 0x1d0d46f1, 0xe64c7692, 0x3a5049fe, 0x03c624fd, 0xae3c29c2,
+    0x1ca9e6be, 0xb76f7e3a, 0xb01b644e, 0x785a78f0, 0xb5c4d43b, 0x7aa0b289, 0x1e1850fd, 0x126bf764,
+    0x66c9c8e5, 0x0121ee64, 0x3bb2ba3c, 0xba41c347, 0x998f9aa6, 0x64b40197, 0xf865aaa0, 0x4c6bc2fc,
+    0x3442aa8d, 0x359617ca, 0x06be1ae6, 0x2c336fad, 0x9568bf8f, 0xa35dc680, 0x363e5396, 0xd6cb3f77,
+    0xef7dc234, 0xef0dddc5, 0xf825ae1d, 0x5acd0baf, 0xf14076b6, 0x45bfb7a5, 0x3c1a1ad3, 0x1686886f,
+    0xcc37e800, 0x353082b8, 0x2a92c0e3, 0x163367e5, 0x1debca1f, 0xe7c579f8, 0x17cde062, 0x28d0b092,
+    0x6abb992d, 0x050c4807, 0xddc1f53e, 0xa42940f7, 0x075dffb2, 0xad9bae7d, 0x0b2aa159, 0x0cefee0d,
+    0x2e9fa442, 0x14dcc76b, 0x8625c787, 0xf6eaf3e6, 0x01ebcdf4, 0x57b66cda, 0x67d12352, 0xca7034fe,
+    0x65dbe8a4, 0x1b91a874, 0xb9527856, 0x02f17c8c, 0xdbfdbecf, 0x609697bd, 0xa2cd2aa6, 0x3cc83430,
+    0xf74ad901, 0xfc118a1e, 0x866bd227, 0x3f3d0cab, 0x24fb83fd, 0x9eaebfd3, 0xa2927711, 0x10c54b4c,
+    0x0269dccf, 0x5928d4c3, 0x0179d8c1, 0xfdbeec91, 0x14772f09, 0x1d6474a1, 0x200c58c9, 0x94651b95,
+    0x18a81122, 0x7f3e334d, 0x8a41cbfa, 0xa310f7e2, 0x309f1822, 0xfca2d71b, 0xe50493d7, 0xe1389127,
+    0x65d2c4ab, 0xba5eb772, 0xc6697db2, 0x80884276, 0x26406077, 0x79b005c2, 0x08106286, 0xc6674cf1,
+    0x8f621807, 0x30a965cc, 0xe1c1c95e, 0xb6b6ca3e, 0xe42757ae, 0xaff4f532, 0xb588a975, 0xa9b2cf87,
+    0x8d2a15d1, 0x9960ac75, 0x7d075704, 0x3ab20592, 0x3c4d6ffd, 0xbcfa6877, 0xbb79a609, 0x535daa23,
+    0x2d2d7b9f, 0x7f4bfdd7, 0xf2e9693a, 0x4d796dce, 0x7110e528, 0x9612237c, 0xbad20f10, 0x34638977,
+    0xcbe5826d, 0xda033597, 0xe4f7255b, 0xec92626c, 0x92add1a4, 0x58368edd, 0x13a93293, 0xb6e8a99f,
+    0xb57a8377, 0xad5f0e99, 0x43ca30c8, 0x3f7c7f8d, 0x743896ad, 0x2ab8a599, 0x4dc11f69, 0xb756ffc3,
+    0x1139f57d, 0xbd46085f, 0xc8b6c063, 0x46a37dac, 0x80d74fac, 0xdbf6cede, 0x97a12b32, 0x7af8326a,
+    0x00fde35d, 0x9ab6b50b, 0xe38927e2, 0x41552461, 0x40d51dce, 0x921fe6c6, 0xb0a0f9d9, 0x2d51b1b7,
+    0x0c6ae6b9, 0x0a849964, 0xcab17bcc, 0x5043adb3, 0x028b9501, 0x6dcd0ef8, 0xd578cd9f, 0x5a26046f,
+    0x6bdb237d, 0xf7c430e1, 0x4dcfd2fd, 0xc8b401f5, 0x4e27d860, 0x213fd327, 0xb3e2c42d, 0x6bf116e5,
+    0x98c493bf, 0x8247e43e, 0xa21f7484, 0x54eb9de0, 0x190e0bb8, 0x0073a2fa, 0x4754bc29, 0x243fb42f,
+    0x63f079ef, 0xcacfc9d9, 0xdce8f80d, 0x7fa694a5, 0xc2d5cdde, 0xcd72baaa, 0x3a78daff, 0x614a88b7,
+    0xe587255b, 0x13aa42a7, 0x2b5a45d1, 0xf71cd4be, 0x0e0333ba, 0x64b3d9fb, 0x4125972f, 0x0ca8a8c2,
+    0x4e5a5783, 0x270007be, 0x824d05d5, 0x054ec498, 0x010be696, 0x94c7fd8d, 0xf9b7c653, 0x73f15b30,
+    0x59d601dc, 0x67165ab1, 0xa81e1874, 0x57ff4d0a, 0x0439ce4e, 0xfb7fbf8f, 0x01e59657, 0x76ca913a,
+    0x2bbef634, 0x7f99c990, 0xae813d72, 0x1d6e86ac, 0xdbe81ea7, 0x326751c7, 0x253e364e, 0xbe9f0ab8,
+    0x66c9c5c9, 0xdcd80f6d, 0xc6e561d1, 0x6175cd5a, 0x953fc765, 0x08fd8d3b, 0x305f0e8e, 0x989d7a35,
+    0xdbcc093e, 0x118ea536, 0x7fdab330, 0xb2808e59, 0xf12e71f7, 0x78d62b1b, 0x5cd7d630, 0x87d9ebb5,
+    0xc8654ad4, 0x57986cf1, 0x6825b523, 0x6dcd2da2, 0x4db51368, 0x898a3708, 0x203189cd, 0xe213f14c,
+    0xfc2a4ced, 0x9a7a23cd, 0xe055933d, 0xc8b2f6a4, 0xf4740873, 0x9bef9e4b, 0x4b0166da, 0xf29dfd81,
+    0x7df8c6c3, 0xac8d4720, 0xaf3b3d7c, 0x491a8557, 0x252c2202, 0x2a16ec2f, 0xa4b985f8, 0x15661131,
+    0x7854d695, 0xccc71f17, 0xc220b8de, 0xe15f0d00, 0xdf6490ba, 0xd0dbe5d4, 0x5bcaf3b1, 0x16b2fac0,
+    0xeace445b, 0x80353079, 0x48920011, 0x9dc642fc, 0x514d3baf, 0x164f2697, 0x45394195, 0x05945485,
+    0xb3d1b62c, 0x4a457ad5, 0x4ee6fba7, 0xebcad81c, 0xbed0941f, 0x9d98ae0d, 0xf6fe9f52, 0x0ba3ced2,
+    0xfa3db806, 0xe342a0ab, 0xc7d25db2, 0x5e559a20, 0x0582939e, 0x5bd7ea80, 0x8f69ed50, 0xc9cb06fd,
+    0x0caa195e, 0xe2e49d0d, 0x94168e16, 0xc4c84623, 0x9f72e79c, 0x6751af1c, 0x9977df97, 0x0cf3f480,
+    0x3aaa8996, 0xc5f7755d, 0xdb896340, 0x9865e677, 0x34e77cb6, 0x54ee7f24, 0x0593c0b8, 0x76209a53,
+    0x4dd3dd10, 0xf129e483, 0x63df6ee2, 0xccfcfe75, 0x0d8927b5, 0xb41c2b8f, 0xa6b138bf, 0xd6e17c0a,
+    0xdde35f9b, 0x63f7e1e9, 0xf23b691a, 0x5be0e759, 0x9965bf20, 0x8333b6c0, 0x76a396f1, 0xe2cd8a8f,
+    0x9ad55060, 0x05077c2c, 0x47255b72, 0x6bc0097b, 0x829df9dd, 0x36f83b16, 0x6ab6ff21, 0x297becab,
+    0x65809752, 0xa02c0bf5, 0xc53ba298, 0x50b164f3, 0x36476c73, 0x5251a0ba, 0x4c679b52, 0xb12ad349,
+    0x030631f0, 0x9cb34840, 0x968e1159, 0x86f65343, 0x7bee6d6b, 0x9626e837, 0x8a4a396a, 0x15de027e,
+    0x535b141c, 0x1d935ce9, 0xb6708290, 0x0715fd9e, 0x100bc8fb, 0xd200400e, 0x217aa5ff, 0x5434de02,
+    0x7ea30c85, 0xae9d731c, 0x6113738a, 0x7372411f, 0x4505b1d7, 0xd39fe531, 0x30f39da2, 0x5639007d,
+    0x69605efe, 0x65ab2a19, 0xbf5d02a8, 0x3ee3ad03, 0xcf8d17b8, 0x95252fe8, 0x4eb62245, 0x90df4dba,
+    0xd913d8f7, 0x0285c374, 0x58ff6e87, 0xdba62418, 0xf0888806, 0x09b9788a, 0xdfa3b4a8, 0xa4586694,
+    0x55eb6642, 0xbd2ca7e5, 0xd2e88770, 0x9041dbee, 0x0ac7e492, 0xe2d62afa, 0x6711700d, 0x665b262a,
+    0x68235b24, 0xdb443010, 0x8ae11749, 0x6ade5460, 0x0affe72b, 0xf17c81f2, 0xd87b83a6, 0xce9e95d4,
+    0x73bbc7a0, 0xb7f3384a, 0x8d6be51a, 0x996c0c5a, 0x69fb3373, 0x4783e74d, 0x9d05018d, 0x75633656,
+    0x21183ef7, 0xb2d5247a, 0x725a1b2c, 0xed157988, 0xa6048a14, 0xa3810c9b, 0xcbfa38f8, 0x030d330e,
+    0x1ab91fc2, 0x1ac2012b, 0xfa682e6d, 0x34fbfa2b, 0x11c93d46, 0x35c6ad0c, 0xfbc5f020, 0x090770e5,
+    0xf7c6a9e0, 0xc39fc53f, 0x975e1a6e, 0xd2539acc, 0x75f70aea, 0x1745b5e0, 0xa15e9e66, 0x27f03561,
+    0xbf1a9612, 0xfe00a4d8, 0xa9172a5f, 0x157ec195, 0x4dba4566, 0x68c8dd25, 0xed4120bf, 0xeb980bd6,
+    0x6bb00c66, 0x00928041, 0xac95cb8a, 0xe42e5fb5, 0xe537e194, 0x82ddd22d, 0x84e0fa40, 0xe8b934e5,
+    0x99c8c31f, 0x115c73a3, 0x0a04919f, 0x4fcb48eb, 0xe90e7248, 0xd1c4821d, 0xe0b51a4d, 0x9ba05e94,
+    0xe64ec42f, 0x329cc6a0, 0x7f10b06e, 0xc772e56d, 0x41f1a792, 0xa583e49a, 0x06afc023, 0xfbd0ff09,
+    0x45a49f1c, 0x6684d333, 0xefbe4827, 0x6352d2ca, 0x47afeb63, 0xf078a8d4, 0x53babd99, 0xb619b382,
+    0x39f51450, 0xb5969209, 0x866b452e, 0xc9dd6e01, 0x77fad1b8, 0x00980944, 0xaf086d40, 0x39acb9c2,
+    0x01ba0138, 0xbb34e332, 0x0312065c, 0x62a1752b, 0x89d307bd, 0x293fdde7, 0xd5ec7d5f, 0xe18c3439,
+    0x598c0368, 0x96286753, 0x799e204e, 0xdfa3f141, 0xa6b0e2c3, 0xec8bbb6a, 0xa4381543, 0xec9b458c,
+    0x2fccd2f4, 0xa65f6a51, 0x3cd5b7cf, 0x15db56a0, 0x62eec176, 0x27e0b130, 0xff132b67, 0x5ccad75b,
+    0x3a0db47d, 0x44c123a8, 0x69214c6b, 0x6e103828, 0x0b7fd824, 0x6309c0c1, 0x30d8b183, 0x1b1c2acc,
+    0x07404673, 0x8473a19d, 0xbb229fc7, 0x98a56995, 0xf97c83dc, 0xa1ba4ab4, 0x2ae671cb, 0xd4857b42,
+    0x8f3df4b1, 0x5bca752c, 0x5e75f3ec, 0x197f4180, 0xf60d82d9, 0xa7ead225, 0xcc84b1b6, 0xcd412511,
+    0x60bc87cb, 0xe563790f, 0xfd417f37, 0x2e4e3e30, 0x0066a842, 0x8aacc052, 0x351b56df, 0x5f81e9bd,
+    0x94f3e780, 0x86c0abfd, 0x3f8114b0, 0x4235a2e5, 0x0727f53a, 0x2fa487c9, 0xfa6ccc14, 0x8735b4d9,
+    0x882c4c9c, 0xe04fa0fe, 0x560d144a, 0xae05dca2, 0x90e58913, 0x54bc6c1b, 0xa32b1155, 0x981c9aa5,
+    0xfdfcec00, 0xca9c4b79, 0x345dea3f, 0x00848a70, 0xc6737422, 0x222d5623, 0x61b4d4ca, 0x5488771b,
+    0x07842677, 0x3b371be0, 0x7f79027a, 0x8a95bb85, 0x4918f9ef, 0x2296b791, 0x7ed8227a, 0xcb70ea13,
+    0xa605786c, 0x631da0b4, 0xe801cbe8, 0xc74baaaf, 0x2bb46039, 0x7bd52c55, 0x74f1b1d6, 0x096a8296,
+    0x7104ce0c, 0x5d165c33, 0x0f0cbe5a, 0xb205db71, 0xd181e957, 0x3ed25e00, 0x96a1c705, 0x7124f663,
+    0x1f4f1b32, 0xee4d7190, 0xfffb38b7, 0x6ee775c6, 0x6f2e351b, 0x5c8f33ee, 0xcf00bbb7, 0x7dd8e7a0,
+    0x0bd5d26d, 0x302b8325, 0x99262e64, 0xe9925432, 0x34ba85bd, 0xd77463f1, 0xdaa9e763, 0xa52e36f7,
+    0xb83eabeb, 0xeb45ae4b, 0x7a2f717e, 0x9e488894, 0xee26cad1, 0xe96b426a, 0x762e5305, 0x2948c6f2,
+    0xca428527, 0x5eda9f87, 0x5122b00f, 0x367767b9, 0xfbdd9b71, 0xcbdf6fb2, 0xe958cf16, 0x4b254c29,
+    0x1cf7ea64, 0x0defb132, 0x85aa9367, 0x17a20325, 0x918cb3ec, 0x54affcf0, 0x7a5f8c10, 0x51a64f37,
+    0xecf1d838, 0xf05dd2de, 0x72cbdbd4, 0xae0b1b54, 0x125c5027, 0x29b5e2cf, 0x3ad90d2f, 0x48dd65ac,
+    0x6999d0a9, 0x72ab37a0, 0xaf75cbee, 0xfccb0ca8, 0x9ed99610, 0x9267be7b, 0x7ad79a6d, 0x7d68b083,
+    0xfe4ca155, 0xe3aa7e52, 0x78c7132b, 0x5747224e, 0x4ced0472, 0xded73f6b, 0x494424f1, 0x114bec82,
+    0xc1d39753, 0xa7a478cd, 0x380d87be, 0x78879e22, 0x48ccf237, 0xc78ee73c, 0xec2ae4c4, 0x91198b55,
+    0xc48cf760, 0x98302775, 0xcfa4f6df, 0x9b4a3b7f, 0xe73e7998, 0x416782a4, 0xf525afab, 0xc60b5b62,
+    0x5aa90f61, 0x410d186b, 0x916e991c, 0xdc7fe325, 0xa20e6ecc, 0xdbe02908, 0x1db02d3c, 0xb85f020c,
+    0xdc994e2c, 0xeec1bb3b, 0xf8b5cb6a, 0x3db325ca, 0xb64e7dfc, 0x4851cc40, 0xa13223db, 0x4b3e3074,
+    0xadf2ea10, 0xe557f9b7, 0x9d433427, 0xc322bab2, 0x85ea40a9, 0x73a92a62, 0xb8b43f99, 0x4a96bed2,
+    0xf53ae1cc, 0x75c6328b, 0xa4ba9ca2, 0x3cbb0c30, 0x58caebf0, 0xd836eddc, 0xa936884d, 0xff49f0cb,
+    0x7d099120, 0x76ac5931, 0x43c1796f, 0x7a19b6fc, 0xbbfa1d48, 0x8c7f5620, 0xc708f0a3, 0xfcf26db4,
+    0x5bcdfdb8, 0x4a95e309, 0x39271ef9, 0xc1590176, 0xde153b4b, 0xcb82ed9a, 0x1f90a97a, 0x1ce4c3ab,
+    0x87c704e1, 0x63ed6e46, 0xffc1a317, 0xdb6d6611, 0x0962ce4c, 0x252c67a9, 0xb741bca9, 0xc83f121d,
+    0x9be27729, 0x69aee493, 0xd6aa02a6, 0x58b756f3, 0xfb52659c, 0xe060559b, 0x53dbbb4a, 0x5a6af20c,
+    0xc8ebbe27, 0x7bebb148, 0xebc268bc, 0xa6ce7816, 0x05a9577a, 0x384ec83f, 0x71d85c27, 0x4a926e53,
+    0x8c4842f1, 0x96cafa2b, 0x458fceaf, 0xcd14c99e, 0x1d212843, 0xea1c5752, 0x80d33187, 0x74c0c658,
+    0xc9e2fe61, 0x38d6bc73, 0x709d5f2b, 0xa79cc9b8, 0x64740c81, 0x2eadb1b0, 0x484fad0f, 0xb44cfcb3,
+    0xa64d8a25, 0x2f39af1a, 0x6454faed, 0x7920608b, 0x1c59ae51, 0x2c0bb338, 0x67c56e62, 0x8c02acdb,
+    0x3008d292, 0x4cf69392, 0xb1c0a8ee, 0x52b1d882, 0xa30c335d, 0xa6f11c8c, 0xb9b46123, 0xc112ca6f,
+    0xd4d1ee18, 0x2955e83d, 0xad673fc3, 0xdf67aa59, 0x2a5c85a3, 0x5f021fe2, 0x7aa248d9, 0x0de8b61d,
+    0x86c60d8a, 0xad06535c, 0x1de759f3, 0x663c5a15, 0x8c308590, 0x6cab2fb3, 0x16e40d0b, 0x2468ac13,
+    0x0a99b2fa, 0xed238b4c, 0xdff8a5a2, 0x5620cb71, 0x19840e8c, 0x53b85dae, 0x95ce269a, 0x643404e7,
+    0x1cf06d93, 0x7a2e1d37, 0xe26a4551, 0xd286c4c6, 0x9a05c528, 0x345548d9, 0x631986d1, 0xa7d464a9,
+    0x8b4b14e0, 0x7260d9b5, 0xc181b8fa, 0xc0860205, 0x22c34762, 0x7fad9bb1, 0x87b0f66e, 0x94192dd7,
+    0xda4a3c63, 0x84028071, 0x0680152d, 0x6363a442, 0xc1eefc2c, 0x590858a4, 0xb86bffab, 0x597f392f,
+    0xab181c20, 0x858eec4d, 0x8601362a, 0x50157dbf, 0x009fe084, 0x4bf1f05f, 0x2c1aa836, 0xa59a6c43,
+    0x6f7c092f, 0x6229f3c6, 0x5d0db9b6, 0x0497ea59, 0x5e4f4778, 0x5ad1fa37, 0x73d1ae75, 0xb03f7b84,
+    0xa08c272e, 0x0d370f5b, 0xe01020f9, 0x93f12040, 0x747b8919, 0xb8581269, 0x9518a3c8, 0xb65d75a9,
+    0x65e715b4, 0x1403959c, 0xa08240f9, 0x085880a2, 0x40ec6b43, 0xb08f6726, 0x22115102, 0x798048be,
+    0xc397a6fd, 0xca3fbc63, 0x47cae113, 0x629dc121, 0x074bc4cf, 0xa26728bd, 0x52ae71fe, 0xeabb2d6e,
+    0x0404be88, 0xe6048eb6, 0xd29202e7, 0xe80fa2c6, 0x736698e2, 0xdd3fced9, 0x91f1fc15, 0x107f9e4c,
+    0x0b9afc33, 0xca68496e, 0xc2664d7d, 0x41e8372a, 0x33f66778, 0x9d3aeaef, 0x095dc79c, 0xa4984762,
+    0xc27d4c70, 0x4a440c00, 0x4f99d5e1, 0x12291229, 0x2178aac8, 0xe69c640f, 0x6fd31514, 0x90cdbb4d,
+    0x758e3681, 0x72580aa8, 0xee17d59d, 0x29ebbdea, 0x80e920bb, 0xf7cf2e0d, 0xfca9d1b0, 0x9aceaee5,
+    0x6f1a5e06, 0xa703a50e, 0x0d218a41, 0xe68d9a7b, 0x2ab4e592, 0xccc69b96, 0x446060fc, 0xa6dfe90d,
+    0x2eeb334e, 0x8b3fd45c, 0xfa047c87, 0xa13417d9, 0xc2b747ac, 0xafa26eec, 0x8db3a605, 0x0d676247,
+    0xe2bcec68, 0x58ee1939, 0x987538e6, 0x91f8c155, 0xb87d0bbd, 0x02fd487f, 0x8c981b99, 0xcb7964f5,
+    0x00000000,
+    0xb7fa9a34, 0x29ebca11, 0x549c52f4, 0xc5c1db41, 0x21622ae0, 0x62f99af0, 0x7f7d187a, 0xb16e4953,
+    0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000007098034416949286040520740311406294280797278912962090432\
+                          43642772637343054798240159498233447962659731992932150006119314388217384402944 */
+  { 0x00000000,
+    0x2227670c, 0xad797e18, 0x37708837, 0x2a77138f, 0x83d2ef27, 0xd748e247, 0xaecced15, 0x855c0923,
+    0x1104a7e2, 0x7280f5db, 0x028740b7, 0xd1d708f7, 0x6b338601, 0xfea5673e, 0x67e861fb, 0xd61d592d,
+    0x5dedac6c, 0x2286b417, 0x711296b0, 0x4eebf116, 0x06dfd468, 0xdbe49517, 0x52440986, 0x4d616b32,
+    0x80c45efb, 0x643bca14, 0x7762f482, 0x5ac1cb47, 0xbf8a438c, 0x6d99c3b1, 0x0ebd9d09, 0x75753ced,
+    0x6a65c0c0, 0x05ea5e52, 0x33fc7278, 0xe73b2434, 0x321cb7ce, 0xcd197c2c, 0x29e10d1a, 0x01d1256a,
+    0xe268f1f1, 0x2bef405a, 0xfe4c2128, 0xc3a8a21b, 0xd862acd5, 0xe792d810, 0x446ff248, 0x5aac2ea7,
+    0xdc0d7e5e, 0x8cb367ff, 0x780b831e, 0xd80f9138, 0xb117b4e9, 0x98c5b93f, 0x1e38c510, 0xfea5457c,
+    0x30916aea, 0x7777424f, 0x06219daa, 0x285164de, 0x89a30abf, 0x4c668777, 0xc00f782a, 0xa3b55e06,
+    0x9ca8a72c, 0x3f20e875, 0xb8368423, 0x979f85db, 0x098e55ff, 0x25ef8f45, 0x18bb8482, 0x0ed3d5aa,
+    0xae737661, 0x441a09e5, 0xb86f4b9b, 0xcb448849, 0x2845b4ba, 0x0d003959, 0x724df454, 0x31db6acf,
+    0x7fc30907, 0x47de0527, 0x12c05e27, 0x719e0979, 0xad2a8c49, 0xb64e5ca9, 0x96f095f6, 0xc3bfc146,
+    0x122f080d, 0xfac506fb, 0xd7a4bd2a, 0x305d2f10, 0x9e943074, 0x2127caa7, 0x8adea7c0, 0x006b405f,
+    0x750fa07f, 0x1dda41c1, 0x03996cfb, 0x73378253, 0x3295da16, 0xdd5cb454, 0x690ff8c5, 0xaff23f77,
+    0xefcbadaa, 0x0598e139, 0x89c1eeca, 0xd728bee9, 0xc64dee3a, 0x9205b8c2, 0x453e3356, 0xfcfa35cc,
+    0x3a646fc7, 0x15410f13, 0x23aabba5, 0x2daea5c4, 0x09dc5b8d, 0xdf5f1c6c, 0xfaf4c836, 0xbd1af2a4,
+    0x0afcdb10, 0x1a0020e7, 0x66ca73cb, 0x988ccb5c, 0x27191a16, 0x169b70a1, 0xa4d4235e, 0x07b165fb,
+    0x0ae587a5, 0xcb5c25fd, 0xf2051a15, 0x2bae5307, 0xd0702da9, 0x994e976e, 0x1984b5d1, 0xc44e4701,
+    0x217077e8, 0x5fb19ac9, 0x5c19369e, 0xd496f084, 0xce2116fb, 0xb8949255, 0xcb8ed89c, 0x41dc2ae3,
+    0x717d5c40, 0x41c8a31e, 0x9839d252, 0xa29364c2, 0xb3d4c6b8, 0xb5b95cb7, 0x60ad3acd, 0xa1ebf2f0,
+    0xd9f8b1bf, 0x86bca825, 0x18e96a0e, 0x9ede5b30, 0xc0ce1117, 0x9427a4a5, 0xd0f2530b, 0xb20ef138,
+    0xd87b1569, 0xd5fc1c79, 0xb13bcf7d, 0x05709c8b, 0xcabc61f0, 0xa8131be8, 0x6d514326, 0xaa5a975f,
+    0x1d6efa96, 0x50a6c14b, 0x0dc7b72d, 0x34405f0e, 0x1b4fc22d, 0x93bebc23, 0x52d073e9, 0xad803541,
+    0xb2dfdca4, 0xcdde8228, 0xefbe84b0, 0x88079358, 0xbf1a5d51, 0xfc6795a9, 0x079dbc37, 0x53186a87,
+    0x689995d3, 0x8ebcf725, 0xc77e18a7, 0xb523f638, 0x4baab0c2, 0xb3630a5c, 0x844b7a45, 0xe0190007,
+    0xa39fbfbf, 0x9c2bd368, 0xfc67d4e0, 0x17207455, 0x43e44027, 0x289bd09c, 0x9af376b3, 0xa21a218a,
+    0xacd67cab, 0xd9b9ef06, 0xbe7dec39, 0xf3064b71, 0x18a013d5, 0xeeaee0fd, 0x04a51ace, 0x06b0e160,
+    0x3f9e5db2, 0xa1216463, 0x0ade5e92, 0x77a1cdcf, 0x62ef1594, 0xf1865894, 0x7575e1ca, 0x1ff492e5,
+    0xfc917cec, 0x0e03644c, 0x21a64343, 0x93aabe00, 0x1d8453b8, 0xf2e0e69a, 0x41836808, 0x05a968fd,
+    0x2d7dfffa, 0xc2377981, 0x9984dfe3, 0x5b2ae61e, 0x05a107fa, 0x20e28ea0, 0xe4882502, 0xc260e7f6,
+    0x247556ea, 0xdaf90e3a, 0x8a084ea9, 0xef8a363c, 0xff0d1a63, 0x7bd55ad1, 0x685a4a1b, 0x172ab111,
+    0xe905f55a, 0x30cfa854, 0x238817c1, 0x61d9e3ec, 0x8ce238e2, 0xec73b834, 0x5c461d42, 0xdbc66dfe,
+    0xecf6ca2f, 0xbd8e477e, 0xd2abb688, 0x14c0d143, 0xe24676ea, 0x891bf994, 0x7c3c951d, 0xeefa64d7,
+    0xe9f06ce0, 0x9bf18166, 0x16c21afb, 0xf9a71dcb, 0x2077067f, 0xbc9a8e85, 0x675d68b9, 0x390a77d6,
+    0x88e4039b, 0x1b757a0b, 0xa81177c7, 0x0451178a, 0xa7df50c6, 0x1cb6f041, 0x167f95e7, 0xfcc95fdb,
+    0xf29a5ecd, 0x37fd2d80, 0xfb818bec, 0xe980b161, 0x2efe83df, 0xdbd71c5c, 0x7b437288, 0x12d5b61e,
+    0x22a47459, 0x73905071, 0x3d1196c5, 0xd53f221d, 0xf579e6f2, 0x716cc73e, 0x0342ff0a, 0xbb6f6ab5,
+    0xddf8d1bb, 0xf03cc962, 0xb7b7e81f, 0x9cb4bb15, 0x1d55978c, 0x9cc916a5, 0xc26c36d2, 0xcaea7e95,
+    0xbea047fb, 0xe018b940, 0x64e2e609, 0x84e1f9ec, 0x05531542, 0x3e1c07d9, 0xbb5e9835, 0xd2fa88db,
+    0xff68ed75, 0xee04aa34, 0x04bdfb05, 0xe6cab5e1, 0xc26b8956, 0x41201bc4, 0xfb01000d, 0x3f309946,
+    0x9978c8a1, 0x4f05bf89, 0xc67cf5f4, 0x68eb1f17, 0x576eb1c2, 0xd65bfce4, 0x8c7775bf, 0xe3f135eb,
+    0x4bd67125, 0x7dc5c0fb, 0xe9bb6524, 0xea3a8e34, 0xb35a0bfa, 0xbf2e7624, 0x372a65b8, 0x228dce1f,
+    0x44627adb, 0xc7c0e341, 0xdba33d5a, 0x5793688a, 0x56f71381, 0xeaa53fb3, 0x952d1edd, 0x688c58ef,
+    0x55cd54e1, 0x7234e8f3, 0x10371327, 0xf1a404fe, 0x9026f316, 0x907e635d, 0x60741293, 0x89dc59b4,
+    0x41fa8131, 0xba0191b8, 0x7cc1f145, 0xdf82f505, 0x9f617fce, 0xb1af0213, 0xf160f245, 0x1ea570e1,
+    0x0fde0d09, 0x68143158, 0xb58420a3, 0xd9938d00, 0xbd6c25db, 0xe253540b, 0x2ceea990, 0x6ffb585c,
+    0x2063858f, 0x493a6caf, 0x2b05f563, 0x27fadb24, 0xfe2237a2, 0xfa53e4e1, 0x3e26873d, 0xc74a2623,
+    0x80e2aeca, 0xbd5dffe8, 0x13bcae98, 0xd9a8a417, 0x6cbbaa68, 0x5ef4e088, 0x5cafcaad, 0xa310b671,
+    0x3b66a184, 0xc2ec8744, 0xcc29ba69, 0x9f32150d, 0x9630f2dd, 0x0c0a40b7, 0x27eaf6ee, 0x1da3e7a4,
+    0x0f4cefac, 0x1b292491, 0x998ba49d, 0x5095c172, 0x5e19f13d, 0x21a2b9d0, 0x06e60d01, 0x527e5cee,
+    0x9495d282, 0x4fc77182, 0xb675571f, 0x81632b2c, 0xca5a7427, 0xb6d1c4d9, 0x40dd05ca, 0x8bd98729,
+    0x9802ce96, 0xeba43f22, 0x39d92bd2, 0xc41e1274, 0xdc684f07, 0xd10e2ef5, 0x791e0729, 0xb2f4c7f7,
+    0x7666bc06, 0xed01f1a5, 0xfb74193e, 0x267fefde, 0x68043643, 0x0daf60db, 0xeea1a573, 0x92da983b,
+    0x8b15f30e, 0xf3c8489a, 0xc1f75b35, 0x8cfcf364, 0x8b5d2d63, 0x137d0ba3, 0x7ddf42f1, 0x5e545c96,
+    0x12af41e6, 0xc793eae0, 0xb8e01e1e, 0xffa83c3c, 0xfbcc3d61, 0xf42711d8, 0xc4fc2f11, 0x82fe2a21,
+    0x5d720630, 0x601fddba, 0x458f57c0, 0x2af37173, 0xcc2a8438, 0x9c7f61df, 0xa699a5ca, 0xa3a71bf1,
+    0xb7dc45c2, 0x761838fe, 0x9407eb1c, 0x52f05d5e, 0xc086fae7, 0x8a4cea83, 0xe947a3a7, 0xa1e2dd98,
+    0x454462bf, 0x9c74e80d, 0x228e225f, 0xdd6eb987, 0xff3f4851, 0xaeb61c9d, 0xb8d7a636, 0xe2bb2147,
+    0x720d6e6e, 0x894ca59b, 0x14b5162f, 0xead4e9bf, 0x8d96228b, 0x9f08515d, 0x395700e0, 0x9bccf829,
+    0xf66f1529, 0x23889118, 0xd2af411f, 0xde93a515, 0x591eb1f9, 0xcaccd437, 0x35f4eda3, 0xae08e21e,
+    0x645fbc1f, 0xb736ab36, 0xafe93a8e, 0x2302b028, 0x6fe894e5, 0x63ed2db3, 0x3ab5971f, 0xde8566b3,
+    0xc45b91be, 0xcc7fc711, 0xa802c897, 0x10c0f80a, 0xfa794f7a, 0x6511b6ad, 0x6fcd73bf, 0x1cf4d8b9,
+    0xe55cdd56, 0x6beee612, 0xf2aafd65, 0xafeb2de3, 0x89d45cb9, 0xb2f5d4ef, 0x84ae12be, 0xdedc3488,
+    0xdb34e2fd, 0xe7580903, 0x39bf0585, 0x56eb3049, 0xa10b5931, 0x44c9d746, 0x1b19625c, 0x57f3766e,
+    0x776ee415, 0x2080d0bf, 0xc4b29387, 0x92d194c6, 0x4e20f338, 0x1bf78ad6, 0x798ee86c, 0x4fb79634,
+    0x85281365, 0x95726635, 0x9a5fb4ca, 0x913eae3a, 0xd1a83441, 0x161c9408, 0x7e27f87b, 0xcaaea31b,
+    0x7f1f0457, 0xa4d39e0d, 0x63909aad, 0xbdfdcddb, 0x51a6f7f5, 0x1a70035b, 0x26edb818, 0xe59a293f,
+    0x58cfbe60, 0x8e0cf48e, 0xb377c245, 0x8a3784b5, 0xf0aaddd4, 0x0269e358, 0x7591c1ef, 0x06560f23,
+    0x10fe1118, 0x625e7923, 0x7300e38b, 0x72a68341, 0x76ba0f4f, 0x451018cf, 0x1f62407d, 0x2fc37ae1,
+    0x8f5a3b59, 0x66333134, 0x565489b7, 0xb8dff34a, 0xcc271f76, 0xaa9ed27e, 0x76e0a695, 0x938efadb,
+    0x73963adf, 0x8050e040, 0xc6e05cab, 0xce6219f0, 0x1bea36d9, 0x5b91d6eb, 0x3e049c2b, 0xff80302c,
+    0x6135ba36, 0x53ec6f78, 0xefcfe336, 0x2b8c04c0, 0x2a78d27e, 0xe1023540, 0xb7d538ee, 0x90e4b0b3,
+    0x46784a84, 0x1b93b922, 0xc4eb43e4, 0xb07a334e, 0x5a1c6d5b, 0x114386ca, 0x5fb6ebed, 0x80e53923,
+    0xbff62c89, 0xd68640e3, 0x80baaa5e, 0xd212d071, 0x0dd5bba8, 0xdf8f2bf5, 0xa1c9d61d, 0x0d33afc6,
+    0x068c51ae, 0x38b7138f, 0x0a5fb347, 0x0aa86afc, 0x8de77364, 0xf7dbef9e, 0x73a0a1e5, 0x5eabfd44,
+    0xf8b17586, 0xd81a7fd9, 0xcadb150a, 0xa961bf02, 0x9465f555, 0xe867c8cb, 0x0a736332, 0x1332bed5,
+    0x659b9832, 0xe7a91f11, 0x5023eedc, 0xbc5331dc, 0xbc5c62b4, 0xfd07968a, 0x94d391ec, 0x846e82d9,
+    0x5fd8880d, 0xe2b02ccb, 0x67b2810a, 0x46c80283, 0x9409bad6, 0x2d8316b6, 0xb7e7cb7b, 0x99090ea4,
+    0xe5772865, 0xdfccd401, 0x9617e6fd, 0xb0624f36, 0x719b9a87, 0x0536e5f2, 0x2ef8753f, 0x9d7b1cce,
+    0x41d804c2, 0xc6efcb2d, 0x24322a63, 0xf3f96ada, 0x888ea6b3, 0x0835b11f, 0xeccd92ce, 0xea4848cf,
+    0xce9b5bcc, 0xbd4823a6, 0x39914fe6, 0xe284375a, 0x861d331d, 0x8cadfab7, 0xe80f9d99, 0x6d5d2d1e,
+    0x65431689, 0x454ae14a, 0x92972f48, 0x62bb66fe, 0x52a1d2d5, 0xd87346c3, 0x2c37c180, 0xc6a496b6,
+    0xf365a1c6, 0x5095273f, 0xc405227f, 0x095f598a, 0x58eea25a, 0xf2397570, 0x4f41fa02, 0x2cb2bcdc,
+    0xeb5dfb0b, 0x1aea572b, 0x65b013a7, 0x98b9afc3, 0x0d84f081, 0x6da93301, 0x1ff6314f, 0x9bd540bb,
+    0x17107eb4, 0x9f6b84b5, 0xdcc496c9, 0x727ef3d6, 0xf0ea83aa, 0x45c9efa6, 0x1be21ae3, 0xd59d0a56,
+    0x54b4ff66, 0x114117f7, 0xf53a9339, 0x362e0a7a, 0x1059e72a, 0xa7e75e37, 0xab176e42, 0x0526ee7b,
+    0xbe21d54a, 0xbff0d5b6, 0x395b057d, 0x7f539396, 0xba4611a2, 0xb1a0b29f, 0xdf980651, 0x10d0e206,
+    0xde9d2bb1, 0xdc23ed32, 0x2bc20029, 0x535499aa, 0xe8d69adf, 0x52c03027, 0x95261ef1, 0xb5c1d9c8,
+    0xaf625634, 0x79ac4537, 0x210d557c, 0xd89f2ea1, 0x03c40f26, 0x237e42a8, 0x410b349c, 0x281a392d,
+    0x81093190, 0xc4b68c01, 0x32dce376, 0xc24dd74c, 0x4f5a5d38, 0x96677df4, 0xae61142f, 0x34b563b6,
+    0x71e0a69c, 0x0fc823d6, 0x7cc5d3f2, 0x894d680c, 0x29882eb8, 0xb805c1c4, 0x9e4af4b8, 0x7983f6ee,
+    0x79d09c2f, 0xec7a46ce, 0x4e3d8206, 0x0fcd7df7, 0xa68901fe, 0xa4b5c60c, 0xa89def59, 0x4f7cd385,
+    0x5acdb632, 0xb5913b16, 0x250db1ad, 0x9248d4f9, 0xea52d7e2, 0xd9c5cd8c, 0x57232998, 0x82fa73da,
+    0xe8818754, 0x2e04bc8c, 0x8eb4338b, 0x6d8dec14, 0x1fb3d9f5, 0x47292460, 0x70308162, 0x9ac1416a,
+    0xf7df52d3, 0x702e682b, 0xc6e4fbe2, 0xbb03c110, 0x732b62bf, 0x0eb4d270, 0x83ec3153, 0x83b29023,
+    0x04f566bc, 0x1dd901c9, 0xde8c646f, 0x7185c06b, 0x334d79ee, 0x3783c2ef, 0x2bf3210e, 0x47c3e41d,
+    0x583871df, 0x1971d6ad, 0x57d6e5c5, 0xd41f17df, 0x87d1ef63, 0x7d909fbe, 0xb684d86f, 0xe26be474,
+    0x8a41f5a8, 0xd72f21f7, 0x91a75983, 0x21feef02, 0x74961443, 0xe055896a, 0x91ffc8b7, 0xfa7a8d1c,
+    0x6c4147d4, 0x90707a86, 0xaf8af0cb, 0x1f316f89, 0x81f68303, 0xbef8d47d, 0xa1729d9f, 0x6074a23b,
+    0xefd29fa7, 0xfbe93b84, 0x12ccd4fe, 0x76aaf2e5, 0xd1dfd638, 0x6f0a314f, 0xd6923c15, 0x18626398,
+    0x9364a72e, 0x4c3c6110, 0x5deb4226, 0x973decaf, 0x0fa9a7eb, 0xffcdc1d3, 0x33df72fc, 0x9f4e5af8,
+    0x876a46ca, 0x877f4f45, 0xf2bd3f11, 0xc4d14540, 0x7dece95a, 0xfc56c079, 0xd5cff294, 0x03f3bb95,
+    0x057d145c, 0x24c33d3f, 0xd0a36e9a, 0xd20806d3, 0x761fd6e1, 0xd0b6a6b0, 0x15217a69, 0x405a2c26,
+    0x2c5cff6e, 0x4bb5b089, 0xfe4b4d4f, 0x8f3aec0a, 0x556bf76b, 0xe62751c9, 0x758c0eb0, 0x76908546,
+    0x8d26c2ae, 0xc1d9feb8, 0x432977ca, 0x9057074d, 0x4232fcbe, 0xac27cdf6, 0xc4c45415, 0x0dfd14d7,
+    0x4cf90f03, 0xb0970314, 0x8de53b94, 0xdcf8ea5c, 0xcf21cf04, 0xe5920f35, 0x43ec12e6, 0xbf3abf16,
+    0xf9a0e3bb, 0xd211c3ba, 0x6a30e279, 0xb408a3e3, 0x046cdac2, 0x8fd3237f, 0x0cc11c9a, 0x772b91f5,
+    0x00a95461, 0xef8f7d2f, 0xb90bbc33, 0xdf5422e6, 0x4a9bae1e, 0xec1d0f4b, 0xb16ba8db, 0xf2807b1d,
+    0xad10ca15, 0xe6c56de0, 0xc8cbc47c, 0x4fdcf1d5, 0xe5c3f9d3, 0x62c52ecf, 0x7f1a80fe, 0x939808d5,
+    0x0f35df99, 0x887898cc, 0xf36fc492, 0x52098fd2, 0xefadb25a, 0x9595e18c, 0xc3005c72, 0x1ae998f7,
+    0xcc2318ef, 0x8c8aac51, 0x4179ec2a, 0x1c068919, 0x004480b2, 0x9feb344b, 0xb14fdaf0, 0xcb4cf573,
+    0x9101d5e6, 0x7ffaaa1d, 0x16903fcc, 0xccda7f07, 0x98f2e5f9, 0xd2d95a58, 0x267dd4ab, 0x9976563e,
+    0x46c3c693, 0x85545881, 0xef2fd576, 0xf9de54c4, 0xfff6687d, 0x22703fa9, 0x99fe2239, 0x1839aed6,
+    0xdb4f0390, 0xe151294b, 0x9590ea8f, 0x56816b52, 0xf6c53f85, 0xb92ae174, 0xf40bee1c, 0x8e195c5f,
+    0x6ca95da5, 0xfe140db6, 0x2beacb8e, 0x127c91e8, 0x717771ae, 0x86e7d1eb, 0xab02ca0a, 0x49efbb47,
+    0x5162cb8f, 0x36d069a1, 0x18502e10, 0x0a61896b, 0x5e5980c2, 0x2fb1075c, 0x159f6a43, 0xf65218ff,
+    0xf52f512c, 0x49329c21, 0x80dbb438, 0x0c6f32b8, 0x717887ee, 0xc84e2b92, 0x75cdd256, 0xf14f5c52,
+    0x12756e23, 0x7b9051c5, 0x4437ea18, 0xf7d5bb8c, 0x219251e1, 0xf21de2e6, 0xf59deade, 0x49302326,
+    0x581e694d, 0x7c1463ea, 0x86e22705, 0x6f46e30c, 0xba5f058d, 0x02252a2f, 0xec562e7f, 0xc8bd94a7,
+    0x0c8b8eb0, 0x5003254c, 0xf76882da, 0x06801f87, 0x5b740e3b, 0xade86e6a, 0x20631b53, 0x1ae2d052,
+    0x7d37f1db, 0x1d1728fd, 0xfa3e3e47, 0x72ee4ca3, 0x32366828, 0x8e7c7e3b, 0x624bb286, 0x188622ab,
+    0x13fb0434, 0x2c340b60, 0xd9915fd0, 0x71154b6d, 0x55195b9d, 0x26c19fce, 0x4ee977c2, 0x91787c0d,
+    0xe346ec28, 0xfd95b094, 0xc057cab1, 0xcbc76ce4, 0x819f08a4, 0xb4a58463, 0x4c82db4c, 0x2d4059f8,
+    0xa1fc6989, 0x4889161e, 0x2f73a99c, 0xf2ac1899, 0x3d6c2c57, 0xba4a1c3a, 0x1d266e8b, 0x98928ce9,
+    0xcc688522, 0x1b48ee09, 0xfafa60a3, 0x2f693ba7, 0xbbe6dc0a, 0x84e52e4f, 0x016d4a46, 0xc4cb06c9,
+    0xa23cf8f3, 0xdb470779, 0x29eb81fb, 0x36d06da3, 0x9d5ce6fa, 0xd57b97f8, 0x60332c35, 0x4bb7e550,
+    0x14ba1b2b, 0x69aec9e1, 0x17380da0, 0xd676f490, 0x787599e8, 0x94fa56d7, 0x111ce2ed, 0xe43b2389,
+    0x00000000,
+    0xdbfd4d19, 0x14f5e508, 0xaa4e297a, 0x62e0eda0, 0x10b11570, 0x317ccd78, 0xbfbe8c3d, 0x58b724a9,
+    0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000003549017208474643020260370155703147140398639456481045216\
+                          21821386318671527399120079749116723981329865996466075003059657194108692201472 */
+  { 0x00000000,
+    0xf0ca28e2, 0x734cb43d, 0x53965ac1, 0x30404b2d, 0xa18c50cb, 0x1588f1ba, 0x7de6c750, 0xa6ad76f3,
+    0xc9890653, 0x8afece8f, 0xf6fdccd8, 0xc105efd5, 0x74f3f794, 0x368afa68, 0x8dae14e9, 0x08f19b56,
+    0x8e4e9eca, 0x708ef4a8, 0x5c0ff12e, 0xc8be4d8c, 0x03e26bee, 0x188aa66e, 0x33faa130, 0x9b3b7738,
+    0x4616744f, 0x5163322f, 0xa84ea8ca, 0x5d33ea4d, 0x24ab1573, 0x76a4bfab, 0x61a1553b, 0x4d1cae51,
+    0x7b1003bc, 0x040529f6, 0xa39cf71b, 0x4e6c646f, 0x884c3430, 0xf066276b, 0xfe9df191, 0x2d561579,
+    0x9726f5d3, 0x42e55676, 0x94f57dbd, 0xcaaf10fa, 0x92a1aace, 0x2955ad29, 0x75c3adf8, 0xfd1b3784,
+    0xfbfe4036, 0xa5295a94, 0x1c0ce1fd, 0xd700b234, 0x1147933d, 0x64a609c8, 0xe6e43b72, 0x9a024c31,
+    0x7b93f2bd, 0x0eb6097c, 0x4b08fa11, 0x851732ab, 0xb120bfea, 0xec861837, 0xf46e69c7, 0x4517ff1b,
+    0x462dd611, 0x668d2133, 0xdb8de710, 0x2a92535c, 0x506f8add, 0x449981ce, 0x01cbd6ed, 0x48ad710c,
+    0x2dd3c3dd, 0x9a1a8982, 0x407b56ac, 0x0a15fe8c, 0x71d88b57, 0xfc155c98, 0x619a561a, 0xf4f3d78e,
+    0x2b42dbcc, 0x5ceb1ba7, 0x944856cc, 0x8fa55f6e, 0xc2c659b5, 0xbcc6546b, 0x916dd250, 0xc09a892b,
+    0x2840d6c8, 0xeb2ad2fd, 0x75a49a1e, 0xd6de576b, 0x94d14a73, 0xdd403026, 0x8c24eca5, 0x4e962ca4,
+    0x17e2c853, 0xfc6c89a6, 0x2f5055b6, 0x653bccbe, 0x3a464e22, 0x32472a1f, 0xe8eb4066, 0x1db5f450,
+    0x38987346, 0x31955cc7, 0xd0a35062, 0xae44f764, 0xba02325b, 0x21810de9, 0x2681eb12, 0xf8442292,
+    0x10bac439, 0x90598d76, 0x8ffad7e1, 0x14771f55, 0xcc4eb590, 0xd050c5bf, 0x8dadb89a, 0x69797fcd,
+    0x805f2e96, 0xda3c269b, 0x35a7448a, 0x003f6457, 0x42f0e8b2, 0x37d50d1d, 0x891d5c2d, 0xff5767ea,
+    0x9c0f490e, 0x1cb615cc, 0x1b7f07fd, 0xe6d756d6, 0x62e8f6a8, 0x6dcc03fd, 0xe4feba0f, 0x01f45fec,
+    0xca8b3322, 0xc5ebc01e, 0xcecf982a, 0x8c67af35, 0x69a00aaf, 0x82f47b61, 0xc61ee018, 0x6bad6cf8,
+    0x3d005a4b, 0x3dc85492, 0x53a5ecee, 0x2ff9fc93, 0x8c85d382, 0x3e61ec7d, 0x1d785268, 0x5123ea31,
+    0x8b818efa, 0xa72b907d, 0xec9ff112, 0xbe21ad47, 0xcaaceb95, 0x396f3ed3, 0x65f0a98f, 0xcf34ccf4,
+    0xaac2a65a, 0x5bde7c8f, 0x158c4346, 0xa71c63f5, 0x66a3e5ba, 0x9d591e17, 0xcd665a5a, 0xec315e96,
+    0xf49a6731, 0xaef71f1d, 0x09f9a8f0, 0xbcbf185c, 0x692aea1b, 0x788055e3, 0x5631d75b, 0xd450828e,
+    0xf7307d31, 0xcddebb1f, 0x5636367c, 0xb57aca5d, 0xcdec3fb9, 0xd5ef8ec1, 0xb1782461, 0xdbad168c,
+    0x7caecd00, 0x4b4b4549, 0xa31e4588, 0x703ba4e2, 0x8e29588e, 0x1b4e23f3, 0x6ecf62c7, 0x8e5d8658,
+    0x88a8f946, 0x7405fc88, 0x25262c3a, 0xa41b52ac, 0x902a4bed, 0x0fdbc87c, 0xb20d72e7, 0xbdc25599,
+    0xe118bcac, 0xd874178a, 0xc354bdf4, 0x66c09aa5, 0x74cbd070, 0x0eddcfc0, 0x0d48a706, 0x34c1895a,
+    0xcf341ee0, 0x68a9cb3b, 0x5c894b10, 0xcf10c9a0, 0x1a49f31b, 0x936e110a, 0x8966e3dc, 0xe6daa2b7,
+    0xb11e417b, 0x0cd90d54, 0x14258eb9, 0xa9ce4c95, 0xcb780aa9, 0xd0571093, 0x63605da1, 0xae47902c,
+    0xd7cfd556, 0xdf1c401f, 0x280521a2, 0x5454f02e, 0xaeb9487a, 0x805f42aa, 0xbd5d888b, 0x45903fe0,
+    0x42d3207f, 0xaf565faa, 0x55dd1bc2, 0xd63077e3, 0xa59e6c0c, 0xd36eb93d, 0xc3568a95, 0xe2b23fff,
+    0x847e3e7c, 0x0604975b, 0x923d1968, 0xf286f4db, 0x15afdf9e, 0x13aecc31, 0xca4a8d61, 0xf87fc263,
+    0xb4e657ff, 0xbe85d121, 0x8466ad8f, 0x898a1246, 0x351ed4be, 0x92dbca25, 0xe850b1a1, 0xf3c57d18,
+    0x30479d73, 0x6d68991e, 0x3389ece4, 0xaaa4b68b, 0x29f55d1f, 0x4660707e, 0x61af8362, 0x43005476,
+    0x10386e02, 0x2a9ee2ab, 0x1bd63a09, 0x138c9aed, 0xeb7fc2dd, 0x8187638f, 0xc4ded485, 0x29eda6a2,
+    0x739e356f, 0x0c6a8f83, 0x8e2185cd, 0x6b64bbc8, 0x49104a70, 0x015aec67, 0x10864dbf, 0x668ac1d2,
+    0xb0ef70d2, 0xc8f5f07a, 0xbdbd1c30, 0x7c39b224, 0xe9dd5e18, 0x7ca19b74, 0x74b8b7dd, 0x51d7c087,
+    0xd2f92bc0, 0x23633de2, 0xa4c9fd8f, 0x73329856, 0xaa5599fe, 0xd1b3bb17, 0x960d1df6, 0x8bc6f6b4,
+    0x45f1325e, 0x57476c2f, 0x979b79e4, 0xd43ee5c6, 0x2fdb10e7, 0x5d714b58, 0xf23d0723, 0xc18730de,
+    0x9e1ec03d, 0x333c5d33, 0x971bba31, 0x0afd1b3c, 0x0a363c78, 0xe66a9a59, 0x6413f459, 0x4db7fbb0,
+    0xe6bb9ccc, 0x62892d65, 0x5141d6f8, 0xbfedb945, 0x24f9efcc, 0x367af490, 0x67647e84, 0x30710c7d,
+    0x7db48438, 0xcf3a0071, 0x59d06345, 0x5bc483df, 0x7137f3fe, 0x21b5a89b, 0xb3ec15f5, 0xfd148d59,
+    0x0d8dc156, 0xbb4a5162, 0xfcca384c, 0x0cb6b674, 0x8d597e41, 0x622b5fd9, 0x80d092ae, 0x6e26c19b,
+    0xb60aeb6d, 0x90be0af2, 0xac447e77, 0xe364abbd, 0xe182fed7, 0xd598e52b, 0x5241600d, 0xa8030063,
+    0x09ce349e, 0x9884fae6, 0xf93f47a7, 0x1121f3b7, 0x3dff673c, 0x9522d950, 0x82432476, 0x96ff2484,
+    0xda11554b, 0x7e127aad, 0xf33ddb11, 0x9b51d3b5, 0x08eca74d, 0xdd6968f4, 0xedf6c7e4, 0xcdce10ac,
+    0x0c7dc802, 0x6bb89fb0, 0x4ec88633, 0x315027f5, 0x1c4b9f3a, 0x913ffd5f, 0xe7d4d8ab, 0x03880474,
+    0xc1a349d2, 0x31647c18, 0x403c351d, 0x5901c22e, 0x4ff6a99e, 0x2de4b628, 0xefd43d30, 0x8b977668,
+    0xb9efb667, 0xc8f57aa7, 0x40757e7a, 0xabe333d0, 0x965eb9ee, 0x98a4b9bb, 0x88ed8290, 0x1113940f,
+    0x84c773ec, 0x235a28f4, 0x24641aaa, 0x2bc90a9d, 0x43d47f7f, 0xd9224819, 0x5ab42023, 0x38036cc4,
+    0xf0337ee6, 0xabd94382, 0x9b3d75e2, 0x7a6fc1f7, 0x6c584537, 0x32c31106, 0xe094978c, 0x72f23915,
+    0x103c5ea3, 0xdd1fb706, 0x8720800c, 0x221bc59c, 0x16f44d2a, 0x4828a71e, 0x38a2783a, 0x3fb4106a,
+    0xd9a38500, 0xd1221d33, 0xe384f1bd, 0x94a59e5e, 0x8966d48f, 0x97937316, 0x5b2dfbd7, 0x261e0008,
+    0x61807c9c, 0x7ee85518, 0x75de6b72, 0xde1cdb2f, 0xf7671b48, 0xc89bf432, 0xebd01680, 0xcdff619b,
+    0xb07e1cd3, 0xfe890e72, 0x4cf2efb6, 0xe57f1947, 0x79b6c0fb, 0x61d03d94, 0xbfa27e22, 0x890127e6,
+    0x97293fa9, 0x13525b66, 0x8dbee3d8, 0xc226a196, 0x8c50495d, 0xd3111abe, 0xf96bb910, 0xcd7a9e82,
+    0xa6177151, 0xb4a00ab2, 0xbc49db3b, 0x0c817d94, 0x03f0348b, 0x49c6cec5, 0x29f848b5, 0xb87dcd61,
+    0x88012c96, 0x923a6073, 0xb04c1366, 0x83990efe, 0x82c7d4c3, 0xdb8e3fa2, 0x98947b17, 0x0032b423,
+    0xfb9bb585, 0xa3d2e1dd, 0x109c1224, 0x637cdbb8, 0x05ba03b6, 0xb5cfd2b8, 0x619bf812, 0xfbb4419a,
+    0x3df544d0, 0x2789220d, 0xb6114c4c, 0x569ee9a5, 0x41ec10ee, 0x5be45740, 0x8966557a, 0x36838b08,
+    0xbee7c067, 0xe4a1e9aa, 0x4c4cfabf, 0xb85a9f83, 0x898f320e, 0x7a1527d1, 0x8406b8d3, 0xdd2b6b6d,
+    0xac9cc87c, 0xce03d9d2, 0x0f7b5760, 0xb0da3dea, 0x5b387cba, 0x92266059, 0x5e94c2c5, 0x6568b25b,
+    0xc8c3ebbf, 0x712e48b6, 0x618082a3, 0x85d26bb3, 0x8d5c3211, 0xa1e3c38c, 0x81b61c4d, 0x7f1a8699,
+    0x03bb4af4, 0xca12484f, 0x41ffae8c, 0x561086c5, 0xbbf9f153, 0x6c180166, 0x480dccaf, 0xdb828cab,
+    0xfca52d3d, 0x3b0ee464, 0x83f4c591, 0x4c0200f0, 0x8d1b36ba, 0x9937a8ea, 0x4595eac3, 0xf075c0b1,
+    0x9816de56, 0xa07852d4, 0x552e21a7, 0xe91c2468, 0x2d51877e, 0x4e4b08fe, 0x693a7451, 0xe6aaf125,
+    0x7ac48fef, 0xbcc363b0, 0x8ed58aa7, 0xc309dcdd, 0x1a05c7bd, 0x1e2bdd1a, 0x0d0be6b7, 0x63409225,
+    0x1a3f420a, 0x88733852, 0xe50dc579, 0x4460929f, 0x59de52cd, 0xeeb2ce75, 0xcd8f87a0, 0x24511770,
+    0x7b352352, 0xfe8e7fc4, 0xd877ebda, 0x0b975ef3, 0x0c419599, 0x21cc45ed, 0x3c2f7921, 0x81129599,
+    0x47ed4d9c, 0xdefc75c1, 0x448a52ee, 0x03a7bcae, 0x26f2b986, 0x927efab9, 0x798439b2, 0x2269f0eb,
+    0xe49c0d68, 0xe1b9a4ea, 0x885fac48, 0xefab9a7b, 0xb5c97fb6, 0x01fbbae0, 0xfa4264ba, 0x846fe311,
+    0xade57efd, 0x5f013fa2, 0x0b6b1d13, 0xf01288b3, 0x145e4458, 0x2fefb891, 0xe3b709a4, 0xd3254afd,
+    0x76617335, 0x01ffaf4d, 0x24fd05f6, 0x0f80eb9c, 0x8776a26d, 0xbfeb75a3, 0x5ee90506, 0x8c870573,
+    0x897b2fb6, 0xc2ad1b03, 0x896b7e87, 0x9d9a7f53, 0x6ba2f71f, 0x327a764a, 0x9f62d963, 0x0cebf21e,
+    0x74f432da, 0xd355d306, 0x03c6aa06, 0xce6a350e, 0x37ea5161, 0xeb05eced, 0xd6aacd84, 0x2ab20189,
+    0x3be1db7f, 0x2ffce60d, 0xff1494d1, 0xd4daab83, 0x3a41b018, 0x5eba071a, 0xe4fb9f2e, 0xeafd7dfe,
+    0xb099d2b6, 0xd43751c3, 0xa9da0d97, 0xd2725501, 0xc366eb15, 0x4cc6e892, 0xf1c483e8, 0xc032b82d,
+    0xd78c8262, 0xf67e0efd, 0x7377b31f, 0x4917ce83, 0xe5f88303, 0xfb1ae5e3, 0xd997a5a1, 0x4437c949,
+    0x55539d94, 0x3600ffa0, 0x7d3879ac, 0xcc7b38ea, 0xe8739348, 0xb4c8d1d6, 0x37942c4a, 0x07416bfa,
+    0xb67c72d9, 0x18b20673, 0x6a077823, 0xf7a01711, 0x96f17f81, 0xe408eecb, 0x1835e4d7, 0x484aaaf0,
+    0xd47e28db, 0xd8b0db30, 0x8e3436b3, 0x63f58b98, 0xdd837674, 0x725a4d15, 0xe303a2cc, 0x95012fb3,
+    0x84d31184, 0xe322e800, 0x476fba7d, 0x623ce226, 0xe7175f32, 0x5a7567c3, 0x2c10b0b6, 0xf26b783b,
+    0x77f351ce, 0xe369266b, 0x632e5d2d, 0x3078f84b, 0x217c54f2, 0x94be08aa, 0x5c6598f1, 0xe7356f27,
+    0x206465d2, 0xe3d81f59, 0xf94f795d, 0x0ce9c8c5, 0x019c049f, 0xbc7872a7, 0x7561b858, 0x0cd10a70,
+    0x71365a7c, 0x8a0b6219, 0xe8eaebe4, 0x4793d781, 0x96216584, 0xd189455f, 0x6ec6fd10, 0x1055a62e,
+    0x17fe1868, 0xf14a477e, 0xc5ae59d5, 0x6825abb9, 0x84aa1c99, 0x173b8daf, 0xede1401a, 0xf52f7f59,
+    0xa0e73b7b, 0x3ddffbcd, 0x144760f4, 0xf81fc0da, 0x13cf9809, 0x420d524c, 0xb7744ad8, 0x862abf33,
+    0x8658520f, 0xabee718b, 0xcd9bcd0f, 0x1e7b5392, 0x30847168, 0x4a06d613, 0x02381385, 0xc2020b22,
+    0xdbb2308b, 0x5632914b, 0x818e6eac, 0x06ccebe3, 0x260a6330, 0x1e9e6bcb, 0x1c26891a, 0xa8a04ce7,
+    0x874cde3a, 0xbbb3202e, 0xe3b083d8, 0x4145d1d5, 0x6b0c0cb6, 0x55be307e, 0xadbac5dd, 0x7e425593,
+    0x31edc8b9, 0x3445e06e, 0x40f62a9d, 0x0f1c11b1, 0xda139ac7, 0xb3a1d029, 0xa32475cc, 0xaf878cc5,
+    0x190a615d, 0x253667ae, 0xc46e67aa, 0xa507b828, 0x374de418, 0x99b4cd17, 0x2a779201, 0xaeedd553,
+    0xeced035e, 0x320015a6, 0xb94cbc6b, 0x1777651b, 0x8222ec27, 0xe694a286, 0x08f48188, 0x3643bb1f,
+    0xb3b171dc, 0xad769ef7, 0x6f071141, 0x78685913, 0xa931734b, 0x1df8f695, 0x7e43d3e8, 0x7df3fdf0,
+    0x25d4e959, 0xe87816e6, 0x31b6ffaa, 0xfc28dd5f, 0xa1e29187, 0xaa8bc2e4, 0xcc0a9749, 0x86ef98c8,
+    0x96987e00, 0x8f30f653, 0xe92dbba6, 0x4efc7212, 0x1d699f3b, 0x283a3e02, 0x276ea2d5, 0x34ff8938,
+    0x50d248dd, 0xe9b8b508, 0x7d6cc33a, 0x6af40efa, 0x6a2c8cdb, 0xbc5d1781, 0xde2476e1, 0xcc85e8ff,
+    0xf185fcdf, 0xf074e91f, 0x30a46a8e, 0xf0912dbe, 0x2f21d23b, 0x396b083a, 0x5f30d685, 0xad1c5f70,
+    0x9b9398fc, 0x7238ee29, 0xd8499c0c, 0xfd9359b1, 0xdfa77643, 0x06c88607, 0x8867a56c, 0x4a6121ec,
+    0x256343bd, 0x8de9348d, 0x25e6faf4, 0xe2f703c0, 0x599da05d, 0x340a6e99, 0xdccc86c9, 0x891d9065,
+    0x91b74da6, 0x4ec40d75, 0xd11ddaec, 0x95f7d358, 0x2139b7cd, 0xbb582302, 0xe820d1ce, 0xe389d472,
+    0xefa258d5, 0x01aaa1f9, 0x792fd1bf, 0xeaabf1a8, 0x0e1363b1, 0x1e9f0147, 0x567aadd7, 0x89bd3a5c,
+    0x1cbbd3a7, 0x74f0ed48, 0x69926cae, 0xdb3873d4, 0xe9aab51e, 0x94d0f13f, 0x2503c1af, 0x41d4a904,
+    0x01cec488, 0xdf7f85fe, 0x8da6352f, 0x470aaaaa, 0x2e9b0235, 0x72125021, 0x9718e140, 0x331ca367,
+    0x6f861ce9, 0xcf9eae01, 0xad712b63, 0xb3e616d2, 0x1a362d46, 0x23e40830, 0x4e1cf709, 0x3be3fde5,
+    0xa0da9e02, 0x85a0f07b, 0x1a5d9633, 0x3eee927d, 0x50e7b28c, 0x0e8c84eb, 0xc313f814, 0xe748ab8a,
+    0x954861a7, 0xd5462bc1, 0xe70caa65, 0xeeb8456d, 0xc7616853, 0x7f639c68, 0x76198995, 0xb7bcb9de,
+    0x1ba57e30, 0x57da76eb, 0x9af62c66, 0x6c7134c7, 0x1a919282, 0x413561ac, 0x716683ef, 0x3f188fca,
+    0x0fd447a5, 0x4ab522cf, 0xcf1d1b99, 0xf013806e, 0x4c54b17c, 0xa97a8082, 0x92c92b38, 0x1cdb02d4,
+    0x05bfa90a, 0x962b2e5c, 0xca3aabec, 0x07240e5e, 0x194f0ed4, 0x41add243, 0xedd6221d, 0x16d5e95f,
+    0x27ce20fd, 0xc381b497, 0x2fdba8f1, 0xce5bc185, 0xf90946ba, 0x8b99963f, 0x47115228, 0x7ae02c0c,
+    0x51aee5a4, 0x9f987321, 0x27b52afb, 0x579cb1ea, 0x9d18b1d0, 0x48f08e29, 0x0c67711a, 0x6e6a4f58,
+    0xd738f038, 0x027337ea, 0xbe86667e, 0x9a043881, 0xa9df3d0c, 0xb422ef49, 0x74bbe74c, 0xa2bfcbf7,
+    0x299b940d, 0xea5df672, 0x26b388f5, 0x676838c2, 0x21bff527, 0x112b320b, 0x2bdddd61, 0xebc89ac1,
+    0xb23e442a, 0x63e8eef7, 0xa05c499c, 0x0ec0f070, 0xb5188527, 0x3c0cc0fe, 0xbe0b961f, 0x7dabcb11,
+    0x09a1f835, 0xf2eff608, 0x5d364363, 0x1e9abb7b, 0x496ca95b, 0x8087fb48, 0x97339233, 0xab55be85,
+    0x15c86e94, 0x0f6289ac, 0xf7415961, 0xf16a243d, 0xf0ec5f89, 0x61036606, 0xaabe5007, 0x7948b5b9,
+    0x0adf0860, 0xdfb89d0e, 0xd92100fc, 0xb9dfb9ea, 0x1e1a284a, 0x4a1f360d, 0x603bb24d, 0xd71da150,
+    0xd84b3f1c, 0x7681e95b, 0xfecb6ec1, 0x75b312c0, 0xe318f4ed, 0x6bb1b0e4, 0xf598f2c3, 0x7e99321e,
+    0xc5e1ec67, 0x98bc204f, 0x78d7471a, 0x73bbf250, 0x5013e716, 0x71ec475d, 0x8741078a, 0x5197dcbf,
+    0xe505f04c, 0xb8fd8e8a, 0xfcc14c71, 0xafc89af6, 0xbd988a59, 0x5a97bff0, 0xdfa825b6, 0x6d59c3cd,
+    0x5259be4f, 0x98df4648, 0xa6762264, 0xb2cf43e2, 0x0447fafe, 0x92ce1633, 0xd7cefd90, 0x923efc77,
+    0x0580213d, 0xe817c2fa, 0xbc9ee99b, 0xe8a60cfe, 0x8a7a3fc0, 0x0b80cf42, 0x0be19e63, 0x096ddf90,
+    0xe098ac54, 0x0835f713, 0xa9f7b768, 0x5345b7de, 0x498edeef, 0x1990a237, 0xc66ebc2a, 0x1b9947bf,
+    0x062e1e1c, 0xe5bb90b3, 0x10c597af, 0x9440735d, 0x1a7d01bc, 0x53c9289a, 0x9490d9cf, 0x31b7ecbd,
+    0xdb2fb713, 0xaea1538f, 0xb3a640f0, 0x4fa61f5a, 0x92436f7c, 0x3dbfb65d, 0x0814b48a, 0x2c316e99,
+    0xfed50e07, 0x9de1fdc0, 0x8b2000ad, 0x69040e62, 0x86ecf4db, 0xe131b05e, 0xdfbe5f68, 0xaaeb765b,
+    0x00000000,
+    0x6dfea68c, 0x0a7af284, 0x552714bd, 0x317076d0, 0x08588ab8, 0x98be66bc, 0xdfdf461e, 0xac5b9254,
+    0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000001774508604237321510130185077851573570199319728240522608\
+                          10910693159335763699560039874558361990664932998233037501529828597054346100736 */
+  { 0x00000000,
+    0x4eccf923, 0xf5f13fdb, 0xd907590d, 0xe36898da, 0xc3855a52, 0x3f1e3a79, 0xf3307b06, 0x3db493b8,
+    0x50351e84, 0xe65ed098, 0x2bf9c5db, 0x19bdd8ba, 0x0ebfdfe4, 0x761330ec, 0x10907c32, 0x9d0f8ca2,
+    0xb6944971, 0xe9801e05, 0x9f8309f6, 0x44f38041, 0x7f2d2826, 0xc9605f90, 0x82a506ec, 0xc0017492,
+    0xec40600c, 0xee5b7429, 0xa4b59f80, 0x505af282, 0xb8fbb57c, 0x67d9db49, 0x5b1821ef, 0x533b285c,
+    0x09d0dfcc, 0xb11be28f, 0x5bcf9401, 0x19533eaa, 0x1bfa11ca, 0x570fa69e, 0x1e02c805, 0xa22cd814,
+    0xf0346547, 0x18c3bf60, 0xdc58d04a, 0xc4da479b, 0x070525f3, 0x98b74584, 0xf08c06ce, 0x1f3fabaa,
+    0xae0ded13, 0x9d6117b0, 0x92dce5ce, 0x6d63b66c, 0x21b216c9, 0x87a2ddfd, 0xaa26420e, 0xbe9c7fce,
+    0xc06f1e35, 0x6b8ce7e7, 0x1854465c, 0x8cc6ab86, 0x00f48510, 0xfa878acf, 0xd1f7394b, 0xe807f3e8,
+    0xefeaeb4e, 0xdb5661cd, 0x81e1d53f, 0xf95d56e6, 0xe3eae8c2, 0x1265b4d3, 0x90ebd230, 0x502958de,
+    0xd5cb995c, 0x95a770cf, 0x1f5d1d99, 0x917da01c, 0xca87d4d1, 0xd39f7dd6, 0x4ecebddd, 0x819f3880,
+    0x79d87648, 0x8f81aa9e, 0x7f5a5e50, 0x4b2f4bd5, 0x1aaaa55a, 0xa5203a49, 0x880a0326, 0xa914f03a,
+    0x334b17ae, 0x22391021, 0x02c941dd, 0x311f3580, 0x9de41076, 0x57f3334c, 0xd83c9e62, 0xe5029d94,
+    0x8bd12700, 0x9e27e0a2, 0x9a7e5130, 0xc16f8be3, 0x91fd0926, 0x00e5d03c, 0x4f8b1ec8, 0xd9fbfa19,
+    0x475ba942, 0x53116225, 0xa558d667, 0xa61f015e, 0x659832d5, 0xa14e1914, 0x2645ef36, 0x5c388f05,
+    0x6ed28ea0, 0x881ca063, 0x4c91c251, 0x02f658b7, 0xede484ba, 0xb5a6a3bd, 0x4c5f14d3, 0x834e3649,
+    0xec3265b9, 0x19c8c5e0, 0x579c09b4, 0xcb4975b2, 0x2a576e6c, 0x4f2c1fef, 0xcb96f19b, 0xb66ccd75,
+    0x846b3e0e, 0x045ec403, 0x1d98ed80, 0x0044499b, 0x5841dc57, 0xc3da25d3, 0xb999f282, 0x5b2312e6,
+    0x483b14d5, 0x0e13a33a, 0xd69e9e55, 0x76dfbffc, 0x2487d2f4, 0x07ebf3ef, 0x4a569b9f, 0x84e3eacf,
+    0x27c4afaf, 0x7b9b2679, 0xd232bc7b, 0x5f0ecab3, 0x33f8ed34, 0x1c381aa7, 0xa18ef9fd, 0xc52bae31,
+    0x0e977337, 0xb1d067fb, 0xee3bba87, 0x8f0d5013, 0x26f9eeac, 0xb9729451, 0xa8863d66, 0xdc5bf77c,
+    0x552fe67e, 0x261e4b82, 0xac5b7b28, 0x0e529ed7, 0x3611b253, 0x31885f08, 0x43bd0040, 0x8327d18d,
+    0xa61fe0fd, 0x1d7acd30, 0xf7465fbe, 0x50995d75, 0x4bb4e6d3, 0x400741d0, 0xca806cbe, 0x423c793a,
+    0x3a7a1900, 0x3fbfb282, 0xf685a483, 0xb7bc86e7, 0xc7fbaeee, 0x2a0b5a16, 0x53c221aa, 0xbb63ed9c,
+    0xee26a042, 0xf4281865, 0xa6e7dd30, 0x6389da12, 0x0ed6dbda, 0xaa83961f, 0x6e3e2fd1, 0xe8166cca,
+    0x3e500649, 0xf304cdc2, 0x82ba0cd0, 0x01b5ffe3, 0x1cd1a1f4, 0x76c7535e, 0x4c341b60, 0xb56e4931,
+    0x5f293e55, 0x9963aacc, 0xebd9e2c5, 0xf1d5f939, 0x319e1b5a, 0xc6a60b82, 0x7af77c40, 0xa890577a,
+    0x8bdaa97f, 0xcac86dbd, 0xc29d2d92, 0x06374bb3, 0x375f0c0b, 0xd42ca12f, 0x7c09982f, 0x88371824,
+    0xd5482402, 0x8bb4606d, 0x2b3a43f6, 0x0c6a2233, 0x3204cd28, 0x6c59c2b5, 0x99684a8c, 0x33a528a9,
+    0x69db8bd2, 0x95207b5f, 0x4bccd853, 0x9bbbeca5, 0x0c18d2cd, 0x97273a1a, 0x3665ebc4, 0xbc7048bb,
+    0x17cb05d7, 0xd963b9da, 0x2fb3f391, 0x8b3f08dc, 0xa26bb7a5, 0x98308207, 0x856abfb0, 0x79ba61db,
+    0x82a3c929, 0xb12e1480, 0x810ac34b, 0x4faed204, 0xf334f16c, 0x90d8efdf, 0x71d8bafd, 0x9e721af8,
+    0x2ec770d9, 0x5209298c, 0x77f9d369, 0xa693bea7, 0x674d5c8d, 0xa4a1a15c, 0xe8969e2d, 0xae62ffa4,
+    0x68e8b88e, 0x4378e651, 0xcfd99b7e, 0x4d53ffa3, 0x1aa3faca, 0xb9c18b21, 0x9cf0a7a0, 0xf2d664d6,
+    0xe613539a, 0x1951bcae, 0xfcfe32b5, 0xcb8c2a49, 0x2c65a41b, 0x8d10ecb3, 0xc0d4bc97, 0x4149b86b,
+    0xc6cfd2e7, 0x5c60454e, 0x251b496e, 0x362457ad, 0xabb2c2e4, 0x4baf77fc, 0xfb5e661b, 0x6f1bd5d2,
+    0x8bc1aac9, 0xa953a7a6, 0x5549f7ab, 0xab0d1b6a, 0x125a0f7b, 0xeb82fa3e, 0x41646a9a, 0x658ee3f5,
+    0x6daf2183, 0xf0da15ed, 0xdb0ed356, 0x888220b9, 0x4ffd944d, 0x001305b2, 0x9d337f3a, 0xd608972f,
+    0x1110af33, 0x1a354d7c, 0x32dd9b64, 0x5aee49fe, 0x6dbe49d7, 0xe6978c66, 0x21ad2aba, 0xac741de5,
+    0x6cf43470, 0xa6d93bff, 0xc9472425, 0xda4bc59a, 0xf23a9295, 0xe38fa5e5, 0x5e6888b7, 0xad5db538,
+    0xe83ca2dc, 0x82a8c1fe, 0x9ccda209, 0xf29d78f7, 0x81880579, 0x15add4ae, 0xb2ba75b0, 0xd78a5f39,
+    0x919886dc, 0x18a1a8da, 0x5ccd7f7a, 0x1e459ae1, 0x0cc3ce39, 0x88090a7c, 0x92f92098, 0xc68d0839,
+    0x2971cdd6, 0x2f81ccb9, 0x558750a6, 0x54824139, 0x0706ffa9, 0xf351460a, 0x2d87a9aa, 0x6542ed9c,
+    0x08db67d8, 0x98484fd1, 0x04dcbca5, 0x4be39329, 0x162392ab, 0xf218397a, 0x0437c99b, 0xaf17a3fe,
+    0x14885a25, 0x356a4353, 0x801512bd, 0x2989ba38, 0xa017a42e, 0x1de95295, 0x19445575, 0x7fa21084,
+    0xad57304c, 0x0366c4fe, 0x6201b6ab, 0xcb38da51, 0x83ecf432, 0xe62604cc, 0x29af8c5c, 0xd9dacaab,
+    0x09dd582b, 0x99c13e7a, 0xdcc66818, 0xd9ce9d83, 0xfb7360e6, 0x7f8b6e74, 0xc3789ff8, 0x2a77571e,
+    0x1acf6531, 0x8f73eb8e, 0x74b03e52, 0xbc92fd44, 0x2a3e40a3, 0x449d3561, 0x74ae68e1, 0xc2d6dc79,
+    0x2112bd73, 0xe8bc846f, 0xad119612, 0x6cc4e922, 0x34868f6b, 0xba7e4241, 0xa6504844, 0x11b4b6b4,
+    0x801b4b18, 0x65bf0f17, 0x1c26e443, 0xe2efe69f, 0x773def58, 0x99ed8f87, 0xc2a63d3a, 0xfc8df767,
+    0x3d8a7b47, 0x14981e7b, 0x4b30834c, 0x3ac3f7c8, 0x5274e95e, 0xaf13a8a0, 0x298f4260, 0xd60b6c79,
+    0xb7fb35a9, 0x117fa2da, 0x07337504, 0x0849203e, 0xa9499634, 0xbc9ec9c0, 0x391802c0, 0x6026eaa3,
+    0x691fbe95, 0x6612c177, 0xfec74328, 0xd4ffbfd5, 0x0864fc35, 0x3f769a3a, 0x241ec277, 0x9d199688,
+    0x4b3df983, 0xcdce4f1e, 0x0c689ad6, 0x36a28c6c, 0x4ec2bc46, 0x56a496b3, 0x962dbaee, 0x7bb0813c,
+    0x5ec18707, 0x2f6ae893, 0xf246ae6c, 0xcc9e9d33, 0xef3fb5a6, 0x46ecd361, 0x3efa44ed, 0x2e367709,
+    0xb3414880, 0x078e8abb, 0x93f7c543, 0x9422bc24, 0x3f79e4f3, 0x51d7a345, 0x3a5573c6, 0x6a641765,
+    0xf450604b, 0x260beb3e, 0x22196295, 0x62d24ec3, 0x8c289f6e, 0x26178cd0, 0x026a76cd, 0x2ee59b65,
+    0x788ecf3c, 0x531e1c7f, 0x1e57d1b7, 0xe8badbcf, 0x51b988fd, 0xc4926028, 0x44aeafdb, 0x6e80b683,
+    0x656854f1, 0xdfa52ee7, 0xa51cb40d, 0xb99ca93d, 0xb3d7797d, 0xfd45192e, 0xbb518fe1, 0x5e91873c,
+    0x8274d007, 0x70bc1687, 0x6db9c0a0, 0x128c5cda, 0xe18a82d7, 0x03b6f966, 0x0e75c89b, 0xb8517006,
+    0x912b5506, 0x68d31ae3, 0x8405b051, 0xd8578d4f, 0x36fb3c61, 0x0ba411ab, 0x9888d2f2, 0x8d399b75,
+    0x3285583c, 0xaa2a9c4c, 0xf505c089, 0x8aab5fc3, 0x2d1610a7, 0x0ca9056e, 0x92e88acf, 0x7b21fd19,
+    0x94bb9f6a, 0x31fd041a, 0x2de9a231, 0xb0343368, 0x26eaaba8, 0x8821dea6, 0x97e0ff12, 0x3346ceda,
+    0x8857b50e, 0x56136b93, 0x329e3ece, 0xae6f23a4, 0x79272e7f, 0xb59af9e0, 0xc04ef3c6, 0x42f2fb1a,
+    0x7c700828, 0xad5d4794, 0x4e9a2629, 0x06c401aa, 0xb04c547f, 0x2bc13bf5, 0x5caa546f, 0xc3a8f7e9,
+    0x9a44fc9a, 0x77aa3c60, 0xc9c6d570, 0x4754c2b9, 0x752e275a, 0x0970d09a, 0x3e3e02ea, 0x7d1f62a2,
+    0x65adc780, 0x69d0b957, 0x09edf1cc, 0xb09d2f64, 0x1149f100, 0x1feb6176, 0x7fc1a5db, 0x3f7a28cc,
+    0xe686bfa5, 0xdfcf2c07, 0x69b1568d, 0xdc61c71c, 0xa134a988, 0xda1174c5, 0x8ea17ed1, 0x4ac2f58f,
+    0xb9833585, 0x8ccb34e3, 0xa388b4f0, 0x887a4da6, 0x9d4b0c3a, 0x22f832df, 0x3009d43a, 0xa15bed68,
+    0xf2a46ea6, 0x17fab93b, 0x3e46c744, 0x15faa691, 0x3e1bc60c, 0x060fa1b5, 0x8208c412, 0xa0098028,
+    0x9b4298ea, 0xe95c8795, 0x0a6ca053, 0x0cd2b85a, 0x768e42d6, 0x4ddfb39f, 0x30836c9e, 0x6720a4fa,
+    0x8bacc7f5, 0xdd79d5a4, 0x60229b17, 0xd9d3aa34, 0xb9ef211f, 0xfc869c1a, 0x2591afff, 0x46deea5c,
+    0x97d3b8db, 0x09ffb5a4, 0xc3100f7d, 0x631ac82c, 0x6ed5ff80, 0xbc1be665, 0x03c8ab9a, 0x4f020338,
+    0xfef21276, 0x996d473b, 0x11e5d290, 0x4fe67e36, 0xf263488d, 0xcd2ae833, 0xad40b51b, 0xd3a992da,
+    0x96ff61e8, 0xcf56ebae, 0xcddcb2e1, 0xcc64d68b, 0xb5fe8c3b, 0x937fd863, 0x3dba8cf0, 0x858ea2eb,
+    0x977ea580, 0x8aae6464, 0x6fdac69e, 0x95d962d1, 0x2d6463a8, 0xa53477f6, 0x4d234dd1, 0x8b5d9101,
+    0x8cea557d, 0x1703ba74, 0xde7b7d52, 0x224aa6e6, 0xe2ea39b3, 0xcab06189, 0x2b59f912, 0x645c9098,
+    0x2aeb6a9e, 0x3e344687, 0x986627f8, 0xe84bead6, 0x4d016b24, 0x5b1219eb, 0xa61f2ce1, 0xe0f4f0f6,
+    0xf41ea705, 0x6e3f929d, 0xd239f822, 0xb0541a80, 0xbd68bcf1, 0x79eef249, 0xe16a8e0b, 0x37b7bf89,
+    0xe0dd0780, 0xb78ce0a5, 0xe655eb20, 0xd71e3aad, 0x16cceeb2, 0x1652a07b, 0x8ee4f5ea, 0x78d38668,
+    0x55ccbaef, 0x1d67112e, 0x22e30b56, 0x008ac85c, 0x54478146, 0x21eab45a, 0xf57786a1, 0xf276d482,
+    0x991cb077, 0x1a440186, 0x5286566f, 0x1b848eb5, 0x0a0e1f95, 0xc605a21c, 0xf57706ae, 0x041587c8,
+    0xbee2dc30, 0x24f9e2d7, 0x77b246c5, 0xfa92a627, 0xace51eb7, 0x0575f07a, 0x2843d73f, 0x3595747a,
+    0x08ac92d0, 0x2c77b12c, 0xf36289ed, 0xf0155832, 0x730564c5, 0xae340a6d, 0x6fa7988b, 0x5e643c42,
+    0x4fc67c44, 0xc0f20532, 0x9cd7dceb, 0xeba3fb84, 0x985f9ab1, 0xe282d763, 0x3d8d3fcf, 0x642eaf88,
+    0xe7778682, 0x667d9ced, 0x92c79a82, 0x0ce017ea, 0x910380aa, 0x5eb6e278, 0xaf2cfefe, 0x12c34e9b,
+    0x4468a40c, 0x7c09a2c4, 0xc46cfe28, 0x4e350ff2, 0xc4484486, 0x18f6c19e, 0x79021c8b, 0x5f20c56d,
+    0x350010b0, 0xa7684b08, 0xcb3390a4, 0x1ea15169, 0x6471805d, 0x91ce60a7, 0x34086ece, 0xa8e24cd9,
+    0x6bce34e0, 0x3228cc49, 0xa594ea59, 0x0bcadbcc, 0x677cf2ea, 0x162541ec, 0xc7bade93, 0x6a3e1048,
+    0x5aac3a67, 0xd73eb7dd, 0xb7408a9a, 0xffe76e41, 0xf33208e7, 0xbc1d51ba, 0x1b3be811, 0xb7535083,
+    0x05d71419, 0x738a5501, 0x215e04f9, 0x1386eee7, 0x1a6c4da2, 0xde311b1a, 0x3104f708, 0x0a28d15c,
+    0x686b8820, 0xa21e4430, 0x73e68fd4, 0x114010bc, 0xd7be03e2, 0x83690fe7, 0xd25a1a33, 0x4156dea4,
+    0x2a0b880e, 0x8f312450, 0x8eb75956, 0x5e62f678, 0x09adf80b, 0x8c872d33, 0x7253f157, 0x1dcaffc6,
+    0x9d7396d1, 0xa2b0d776, 0x22dda3bb, 0xb3752cdb, 0xc26fb705, 0x030d4856, 0x7d7a3ff2, 0x3f2ffdc8,
+    0xcaa42598, 0xd6161060, 0xb64663ce, 0xa205e6c0, 0x1b592e50, 0xa4dccf7d, 0xc5cfe9c0, 0xa56ed2a2,
+    0x375edaaa, 0x3b21b77e, 0xdefa7847, 0xa35f8239, 0x5ab6da90, 0x52f6d153, 0xfea5e168, 0x48ea3d61,
+    0xdcd6c7d4, 0x3589ee6c, 0x7c0a3ddb, 0x02aa9b16, 0x4da5ee02, 0x6ac6ca5f, 0x7252dc50, 0x9ace15d5,
+    0x6863d3d4, 0x948533ea, 0x83096510, 0x690a827f, 0xada60faa, 0x247f3c7f, 0xc63e66cb, 0x2b3e79bd,
+    0xf5c374b2, 0xeeca6297, 0x3e494c45, 0x38000559, 0xa95bb429, 0xcacb2b32, 0xde8a05a0, 0xb6779fce,
+    0x02c01f47, 0x8194b3f4, 0x221c6a91, 0xd152f22e, 0x84f38b62, 0x86f50837, 0xcbcc6f77, 0x634a242f,
+    0x99ac1f05, 0x324f0a0e, 0x0278eee4, 0x9de63dc2, 0x6f5aee82, 0x9cd4ebac, 0x0ed9fceb, 0x51bfacc8,
+    0x7db012cc, 0xcd1fb57a, 0x3b5567a2, 0xc8d57fcd, 0xb43ceddc, 0x60563a02, 0x59dde131, 0xad197fff,
+    0xcf852165, 0xc55921e2, 0xa1cdc162, 0x224b5672, 0x4ec445d2, 0x0f3f05de, 0x89a48440, 0x71485802,
+    0x728789da, 0xc562e0aa, 0xa18e1d3c, 0xb5be0bc6, 0xe20554a8, 0x8f7b8278, 0x103e997a, 0xdbab3e10,
+    0xf8eda385, 0x3fe0d9a6, 0x7e9a4c5d, 0xb54131f7, 0x698c2e7b, 0x6e8e45d4, 0x07364a46, 0x6302166b,
+    0x2d73dcfe, 0x6f200f73, 0x88b92237, 0xedbb3347, 0xfe57d837, 0x65b9c2c8, 0x1d8a46d3, 0xd85049f4,
+    0x084411e3, 0x583d94b3, 0x665c044c, 0x9b0fee20, 0xa7649e27, 0x9c97b3b4, 0x543f6f15, 0xf5d6befa,
+    0x7826fc11, 0x46b63a7a, 0x92a97ca5, 0x7667fcdd, 0xf8341d54, 0x937effc8, 0x576645a2, 0xe5969fcd,
+    0x84461151, 0x4958f31a, 0xa24d3ee4, 0x04af0b44, 0xc1e8289f, 0xbc60afb2, 0xd2cbd2b4, 0xb0db31ff,
+    0x3e2e2ef8, 0x7d21d5e8, 0x9e384afd, 0xe33e226e, 0x2874d57b, 0x9a7b27df, 0x5a19fbd4, 0x29afc90a,
+    0x8f185182, 0x0263dbdd, 0x104f2958, 0x3e6109de, 0x857c39c0, 0x91aebbe0, 0xa49e2dac, 0xf0f2c111,
+    0xdafba3ca, 0xb2e69aff, 0x867b20d2, 0x3346bfa2, 0x1b7edca4, 0x2aa3c25a, 0xe3198864, 0x0550deb6,
+    0x38076030, 0xecf0e378, 0x5f372757, 0xb3354aaf, 0xc079cca5, 0x96c2f3aa, 0x8b68b6f3, 0x108eabfc,
+    0x226a0962, 0x50739d70, 0x5c19790e, 0x5ee38b63, 0x2f1f69bb, 0xe094d597, 0xa6be809b, 0x68d63c5f,
+    0x8ecfed45, 0x1ede9a6e, 0x09267150, 0x0a740133, 0xad14e3bb, 0x013f572b, 0x44ba52e4, 0xc42d7baa,
+    0xc18d4152, 0x4ab34db3, 0x17dc8b7f, 0x08977d84, 0x94f88b5c, 0xec27b9c9, 0xe5818d33, 0x5426dce7,
+    0x0328a339, 0xbcd476fc, 0x2ef323c1, 0x4b99df81, 0x25db303c, 0x0584238e, 0x5349189c, 0x467335bc,
+    0xf1e99f59, 0x8fe2fd90, 0xaf1248a8, 0xe4f69a10, 0x0f331e0f, 0x50a5ea83, 0xb6f0cc44, 0x7d1f0fa4,
+    0x5df6a0d4, 0x238edc05, 0xad7efcf9, 0x7d69ce69, 0x088addaf, 0x1352ed92, 0xaa221738, 0x0ef67f43,
+    0x8845c452, 0xd2774368, 0xb2a3f547, 0xb2287e7d, 0xeb46cb90, 0x406173ef, 0x3db52ba5, 0xa083c9d4,
+    0x031b4ef6, 0xf56c8d88, 0x29cbf653, 0x59e1b2e8, 0x5055945b, 0xfe7d0332, 0x0d3e68f4, 0x853956a5,
+    0x0ef65666, 0x584a7069, 0xe29ff9fd, 0xc7d9657d, 0xbe6b853f, 0xc67a383c, 0xdcee0bd1, 0x3fcc09d2,
+    0x13a41892, 0x41f67120, 0x3770d453, 0x6af1b848, 0xc3f4750b, 0x1982d00f, 0xea7ee701, 0x386489e5,
+    0x5ec140be, 0x8e5d250c, 0x9e1afac9, 0x8c7a49cd, 0x2037cec7, 0xe05c7688, 0xc4820bf4, 0x48619002,
+    0x187af88f, 0xd6960596, 0x0f081587, 0x02e85205, 0xb8144b2b, 0xfcec1b34, 0x18ddb85c, 0xb1c0057b,
+    0xa702684d, 0xbcd032c7, 0x91c43a53, 0x7b53a44a, 0x55412f59, 0x1717123c, 0xcb2c828b, 0x77cb2ee4,
+    0xbc9b19f3, 0x33805a68, 0x4f7742c5, 0x1f54385a, 0x5d36795c, 0x105ea45f, 0x66c708f2, 0xd12d9595,
+    0x00000000,
+    0x36ff5345, 0x853d7942, 0x2a938a5e, 0x18b83b68, 0x042c455c, 0x4c5f335e, 0x6fefa30f, 0x562dc92a,
+    0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000887254302118660755065092538925786785099659864120261304\
+                          05455346579667881849780019937279180995332466499116518750764914298527173050368 */
+  { 0x00000000,
+    0x4cbbbe1e, 0xc520f7a1, 0x36454049, 0x65bcac2d, 0xcdd47f4f, 0xe0c0cab0, 0xb5ae519e, 0x92baacaf,
+    0x48859954, 0xf75e7adb, 0x6f3d31df, 0xccf3b3e5, 0x3acd0e60, 0xc5c0d68d, 0x069a5554, 0x5681f465,
+    0xea211564, 0x75b4cbdd, 0x64c3665d, 0x011c96b6, 0xe4c1946d, 0xed47271b, 0x364fe9c3, 0x6a4c00a8,
+    0x8b80e2a1, 0x679c60c8, 0xf450430a, 0x037d377c, 0xd8f19074, 0x1d1d0b66, 0xda2fd879, 0xff00da13,
+    0xacecc75b, 0x12ad49e4, 0x378b2812, 0xe75ccfe7, 0xa1ea5921, 0xf3f3852f, 0xc5bf55a0, 0x6195fecf,
+    0x575ea634, 0xe2e2ed02, 0x747a5343, 0xc0505b0e, 0x41ee40d0, 0xaaf77bf6, 0x6d8216bb, 0xa4793cd8,
+    0x5a95cbee, 0xc010ba99, 0x6a0aaf8c, 0x51b8251c, 0x54079deb, 0x29d31a5b, 0x6581e373, 0xe4bcf786,
+    0x3ecb66a9, 0xe5ff3110, 0x4f359267, 0xaa5f56e9, 0x314ade48, 0xd2bc45d6, 0xeefd16c1, 0x855a19cb,
+    0xa54842b7, 0xb851d804, 0x05e65ccb, 0x442939ec, 0xeb4c433b, 0xd001e702, 0x7e8e0b8f, 0x2f007675,
+    0x8ed64402, 0x8e39c158, 0x11630e5c, 0x9927a7fe, 0x9b0c766f, 0x65930f1b, 0x3fac0637, 0xad456c46,
+    0x7cd643ec, 0x9d43ceb7, 0x21d83c15, 0xf1627cd6, 0x30356f9f, 0x4d36e440, 0xb5af88cd, 0x5949c5d2,
+    0xc207a579, 0x6d09f46a, 0x0db7ea4a, 0x99245a27, 0x7c7333fd, 0x023a0e5a, 0x3b42f27b, 0x4182e00e,
+    0x2df5f355, 0xbb9a9f89, 0x9b65d57e, 0x5d6e40bd, 0x881a9c92, 0xed3645d0, 0xd9694539, 0x9371b437,
+    0x8a5cad25, 0x876049e9, 0x2cbc8ae4, 0x97f93dae, 0x33884d7d, 0xda5c32b6, 0xdbcf765b, 0x0ab06278,
+    0x7b4a3bf9, 0x1dfc4272, 0xffbc46fd, 0x58701d72, 0x44566255, 0xe10eb077, 0xede0e20c, 0x1dd7b18d,
+    0x3bdba960, 0x473b15fe, 0x6e2c80a8, 0x23473737, 0xb060bf60, 0x2fc8a4fa, 0x67474b65, 0x607eacf0,
+    0xaaeb6b79, 0x91f3b23b, 0xc8c4690e, 0x49909c67, 0x49169222, 0x48c679b8, 0x0bf57440, 0x7e96e558,
+    0x9fdf2a04, 0xfe860e28, 0x99a3abd6, 0x12ab73ff, 0xd72df011, 0x32f82ce5, 0x79792e64, 0x77cc688a,
+    0x3d4f1775, 0x326bfef8, 0x26cfac1c, 0x82fe6ef0, 0xf275db85, 0x24f5324e, 0x0bf308f3, 0xb3975085,
+    0x47e16da4, 0xd007bf93, 0x5b103765, 0xe3297360, 0xd2d7e873, 0xeae64284, 0x5339ec7f, 0x27e22b07,
+    0xf2dd3710, 0x53c94032, 0x51319de5, 0x83f0b66a, 0x2ca13380, 0x13ce9fe7, 0x95b57b3f, 0xa752fd00,
+    0x8faeadb4, 0x5582463b, 0x4a321a96, 0x7abbc1c5, 0x07a5c96f, 0x43324ecf, 0x0947a593, 0xa57d78db,
+    0x646c4276, 0xec169d2c, 0x7932910b, 0xc5842895, 0x4b2bce17, 0x2f24ec62, 0x4709cfdd, 0xc6a4ed5b,
+    0x068f73b0, 0x38f187e9, 0xa3a66662, 0x7c582b2a, 0x1848f74a, 0x4ea03a5c, 0x9c45b0b4, 0xda16a6fd,
+    0xd67effa3, 0x9ade92d1, 0xd32cab7d, 0x9d2d2e96, 0x712a198a, 0xeac33662, 0x0d4e8ea9, 0xaccd643b,
+    0xa765e0be, 0x1aeb84b1, 0x93465fed, 0x7105ce7b, 0xf8a609c9, 0xba8add26, 0x403cb7b0, 0x9c1abbb1,
+    0xd10729f5, 0x5bbf0820, 0x1c3a6e00, 0x140ddeaf, 0xf1084e3f, 0x7ba22879, 0xbeba3f9d, 0xf0c81f1d,
+    0xd466f293, 0x74a10a9d, 0x7311f1ab, 0xa3ab4da2, 0xd0d9c64e, 0x47f11645, 0x063df362, 0xce1d8e3c,
+    0x56337154, 0x23543cca, 0x8b71de5a, 0x7a3af3f9, 0x5f36b1a0, 0xf2e9aaf2, 0x3b996fdc, 0x23f5645f,
+    0x3cdc5632, 0xc4d2e7be, 0x0f4270d5, 0x87b3dcde, 0x32d0ce17, 0x990451bc, 0x2d9c6696, 0x41088243,
+    0x8e380856, 0x833e916a, 0x4f670241, 0xd1ed64c0, 0x2b7ddc20, 0xd657fed6, 0x42ca1ce9, 0xa4e9b833,
+    0xbf2b1c2e, 0xab43285c, 0x0b2a77cc, 0x2fdc3792, 0xa66000eb, 0xf9fd24ec, 0x7aac420c, 0xe6995aad,
+    0x8ab510d4, 0x297d4fc8, 0x29f4af40, 0x811fb9a4, 0x559601ae, 0xd447fcad, 0xe40d2c38, 0x16da262d,
+    0xed1de2d9, 0x8bf24c1b, 0xc1c0bc33, 0xd267e0d1, 0xe5b09140, 0x3cd3aa95, 0x33abc148, 0x337c28db,
+    0xad3c8532, 0xafbf5271, 0x53e256b1, 0xfc14d9d3, 0x1ab18b22, 0xead36167, 0x90ddd2a2, 0xf637913c,
+    0xb206d1e5, 0x8d621b34, 0x143ac50b, 0xc6b1de5d, 0xee1cf91a, 0x9e2e612b, 0xb219d150, 0x4804fbc7,
+    0x281636cf, 0x7f871b45, 0x2c4d75e0, 0x7a54b97b, 0x3eee6e63, 0xb1855001, 0x1470db39, 0x2632cbe0,
+    0x45658f5c, 0x0493c576, 0xde97aecc, 0xe7499932, 0x1177eeeb, 0x200991f0, 0x8ceea4c0, 0xe3b436e5,
+    0x02150060, 0xd0242092, 0x3f7b7cb9, 0x091e5b92, 0x30efad50, 0x294c233c, 0x6c5f0197, 0xdebfd6ed,
+    0xd25077a7, 0xcbbc14d3, 0x714b13a3, 0x82af20d7, 0x97969f7e, 0x0a65c2f9, 0x48a8d0ad, 0x0c96d7b9,
+    0xddb1f98e, 0xd04e9f0c, 0x0223cf42, 0xc9d191a2, 0xbdab41c0, 0xcd7a667e, 0xbe1f2b33, 0xfc3f52f9,
+    0xbc5e5261, 0x2475984e, 0x7f1f201a, 0x6b0c8888, 0x8c1eccfa, 0x73c37042, 0xabfd9fc7, 0x7d373629,
+    0xbc26c58f, 0xf8b50cc9, 0x310bfec5, 0x995ded44, 0x0ca4c159, 0x668912e6, 0x53505782, 0xaf6cd3a9,
+    0x2222c0cb, 0xdd3f0ff8, 0x525b566d, 0x345a37e7, 0x02b2f857, 0xd056b79b, 0x20afbe6b, 0xcf80aa9e,
+    0xdb83f89f, 0x20e0fef5, 0x053b7abd, 0xce1c6ee0, 0x2b9e0487, 0xd6f244ca, 0x34cd0d26, 0x44af8de7,
+    0xf6194a2a, 0x384fdff1, 0x7dd7e4d8, 0x43102bfd, 0x6a609039, 0x95974558, 0x6115e3d8, 0x68b55aa9,
+    0x795e17ba, 0xf95cf78f, 0x83f322b6, 0xb50dc4dc, 0xbe6644db, 0xd00f1766, 0x3bee673a, 0x2061680a,
+    0xe599b263, 0x68f5c025, 0xb44defdf, 0x77edaaa3, 0x86d9ece4, 0x30bda62e, 0xb5350c3e, 0x674f5aaf,
+    0xb84682bf, 0xa0d44a43, 0x2b46e832, 0x9492d195, 0x134fc628, 0x0f21fe8d, 0xaaafa6bb, 0xfc12af33,
+    0x022f0aa8, 0x751afa69, 0xd4c8aac2, 0xcd8c638a, 0x243d58e1, 0x1bf61cb0, 0xafac1a03, 0xf9af7c6a,
+    0xc4b5ab2c, 0xa2456bdb, 0xbb087e30, 0x600b730f, 0x6bd04985, 0xb0249524, 0x5f15915f, 0x0c1198d3,
+    0xc49e483d, 0x378debaf, 0xfa5be1e3, 0x640bf0ca, 0x9347879c, 0xb172f965, 0x821bb207, 0xb240e493,
+    0x28665cc9, 0x4c5b26d5, 0x9e1301c4, 0xfb0ba7e1, 0xed3bae53, 0xf5958f83, 0xb707a1a9, 0x344ce019,
+    0x49accc28, 0xadb78db2, 0xa21117cb, 0xb19adbc4, 0x25ab7cf2, 0xd72632c0, 0x8c3f1c9d, 0x92510a25,
+    0xef2cfa3d, 0x73c844a8, 0x76c51370, 0xa98a8973, 0x6be9a743, 0xbb85a66f, 0x8c49f3d6, 0x55bfed35,
+    0x2d6964b7, 0xa4c21ef0, 0x9de57643, 0xa860cfa1, 0x6360d071, 0xff3c1ebf, 0x8e07df73, 0xdc80ac80,
+    0xd4308f78, 0x66c42199, 0x0da32519, 0x96cda891, 0x06473881, 0xe540c566, 0xe602e6f4, 0xd65e98e4,
+    0xf74f7b67, 0x4a1958a5, 0x9147c0d1, 0xa2d4e578, 0xfaa69bf7, 0xcf223bdd, 0xbe1d2d6a, 0x3ac8557d,
+    0xb4dacd8a, 0x3b055cb2, 0x908c1662, 0xb4d5cc2d, 0x773213db, 0x53fc6e42, 0xfab93e20, 0x98fa4025,
+    0x8e75033a, 0x7c2024cd, 0xb595ca2c, 0x7ff0a0d7, 0x206eb89d, 0x2e7cbcac, 0x8e279bfc, 0xaf902436,
+    0xedf55730, 0x0d5da623, 0xe093b5e9, 0x6ab8ed0c, 0x1f314859, 0xba58a95e, 0x36470021, 0x55511e29,
+    0x0fedb5ec, 0x6062b8b2, 0x631151ac, 0x3db63fa0, 0x5f4a6b4d, 0x8279bca2, 0x66d5cdfd, 0x61192e89,
+    0xb17392f3, 0x7d2cecd5, 0x88b5b368, 0x60559cf8, 0x6bda364e, 0xca3ec3f8, 0x4d884791, 0xa5cdc5d1,
+    0x96e56d36, 0x2fd37668, 0x765a414b, 0x3efefed7, 0x1c93e03d, 0xc534fca1, 0x375da3d9, 0xb2de180d,
+    0x4c03e895, 0xb02a3ee0, 0xe1b203c4, 0xb6d4aff7, 0x5475a31b, 0xc62057a6, 0xe6545f4b, 0xcd3c72ac,
+    0x94f2a533, 0x985beac9, 0x0a4e4e3c, 0x5e56fa5c, 0x5629868f, 0x3c4bcf87, 0x2b05fe88, 0x2c16f17f,
+    0x42127bb7, 0x69eb6eb4, 0x8cfcb38e, 0xe4536abb, 0x11ea2ddb, 0x318c30b9, 0x18541414, 0xe43a3404,
+    0x7865e022, 0xe19bcd33, 0x53cc6d03, 0xbba1c5c0, 0x9985d218, 0x54847d42, 0xd185442b, 0xe62a7bab,
+    0x3b95252d, 0xa1ea8831, 0xc040a390, 0xf6d7f33d, 0x746beca5, 0xbd5c5333, 0xaf298140, 0x60334f63,
+    0xe2a33e32, 0x632e1f03, 0x6988bb58, 0x74675903, 0xc3c017bf, 0xd44b0366, 0x36616a74, 0x2af5d11b,
+    0xaa93313e, 0xa0602758, 0x896a67da, 0xe26e9663, 0x3e34c12c, 0x4865a524, 0x2875ce33, 0xbdc38254,
+    0x3c17a321, 0x47c6c693, 0x68dfad78, 0xb988127d, 0x0be3da05, 0x5716fd42, 0x5cabc3bb, 0x41681fc1,
+    0x5ab59145, 0xcc9f38a1, 0x8fe0f637, 0x3773ac82, 0x53259887, 0xb6227cfe, 0x5e351a85, 0x3e595358,
+    0x4cb23731, 0x4e4c321c, 0x84e864d4, 0x879c0aa9, 0x49c2c9ee, 0x50a67161, 0xe3ff18e9, 0xde57a997,
+    0x40d9c764, 0x8b8cb8c4, 0xcce9b1a8, 0x1f364683, 0x5b6f6c37, 0xd93017c3, 0xe17b3578, 0x4907c488,
+    0x875fecec, 0x74964920, 0xc0ea7445, 0xe20ed860, 0xfce9f6b2, 0x36a89415, 0x512e9b1e, 0x601e86f4,
+    0x92019305, 0xa0566f75, 0x46d742b2, 0x12d75b84, 0x2a3451bf, 0xcdecb3d6, 0x25d73749, 0x7f97877c,
+    0x86a09e97, 0xbf7bb4c0, 0x588a11f6, 0x71770658, 0xd0fcc78a, 0xb77b4486, 0x93b80a40, 0x84f88429,
+    0x80ac2747, 0xa2430990, 0x84c3c6b5, 0x843b260a, 0x3cf71677, 0x37697985, 0x1455eda5, 0xbba66de5,
+    0xfc8d2b5e, 0x96e36342, 0x82dad136, 0xf85e6606, 0x6f515ca0, 0xf947245a, 0x1a8de3ff, 0x8e45647a,
+    0x0577e90c, 0xcf309539, 0x807237a3, 0x754676d1, 0x488cb7d8, 0x034b8e28, 0x8d929ae8, 0x12fb0173,
+    0xe97daa08, 0x08165068, 0xa5fd7ec1, 0x976f6916, 0x3bbe33d2, 0xa463d2ea, 0x48b939ed, 0xdccc08fc,
+    0x3b010ab2, 0x036aaa87, 0x0e9123e8, 0xa3a1fab2, 0x3ec4942a, 0x9cdd971e, 0x63d0e306, 0x4551322c,
+    0x39680c8d, 0x98d32133, 0x51d8d344, 0x31570a10, 0x9b9373a8, 0xb9d39900, 0x192bfc66, 0x721e2d2e,
+    0x7fa90790, 0xd6d27b91, 0x2fe95beb, 0xa34ba003, 0xa49c8749, 0xf520044e, 0x46d8ae85, 0xe9ce8325,
+    0x2ec4c937, 0x96b3be25, 0x6d4c8e93, 0xe5dc3c0e, 0x1f99b025, 0x43b9650c, 0x5899f93b, 0x7e1f5b28,
+    0x4d857249, 0x8ef3b85c, 0x0fdacd89, 0x4148c8ab, 0x698bc628, 0x0b44cde1, 0xe7446a84, 0xb4bf5b76,
+    0x611b9e41, 0x58f7295c, 0xa0fd990a, 0x818e87ec, 0x92e0e88b, 0x57f01795, 0x558a7179, 0x54fad90f,
+    0x227fb68e, 0xc43ddcee, 0xb8184911, 0x11f03c6e, 0x7b6740fa, 0xfd6c6c07, 0x15ff21a4, 0x4059c38e,
+    0x43511acf, 0xc40a7fc5, 0xbb200fd4, 0x427d92b4, 0x6790eddd, 0x3528794b, 0x4c485e2e, 0xef81d0e0,
+    0x95e21b29, 0x9a710190, 0x27c55d9f, 0x82f0c819, 0x91cfdd28, 0x8f32e668, 0x991f636c, 0xdda3856b,
+    0xc25259d0, 0xa3177019, 0x10b12088, 0xf86d7ea6, 0xb1b8bbea, 0x4469469e, 0x9e0d09aa, 0xc4b0b92a,
+    0x801a7a97, 0xf6cb0de4, 0x68b688af, 0x232de239, 0x8bba5468, 0x0877fd28, 0xdc53930f, 0x4e83e82e,
+    0xf8b5e289, 0xc011d8ab, 0x77492438, 0xce9b19b6, 0xe51dad23, 0x889797e6, 0x98a854e5, 0x13b5f619,
+    0x0adfec83, 0xdb711946, 0x1b5ea242, 0x2e9d465b, 0x805fd2c4, 0x7fdb6ed7, 0x18dc6188, 0xac33e769,
+    0xc78cfa02, 0x83dda34a, 0x2204dc53, 0x4502135a, 0xa579fbfa, 0xfe062ed4, 0x562ff81a, 0xb95aed57,
+    0xeb08b44b, 0x568df602, 0x645e43ec, 0xbe125cb2, 0xc6acb3b4, 0x6bb6fd42, 0xa03affc6, 0xa0750c39,
+    0xb4417fca, 0xdbf060a6, 0xdb3206a6, 0xf75b42e0, 0xa820f023, 0x1d05d465, 0xb6a394f8, 0x6b9a2baf,
+    0xfc82f3d3, 0x0a2f970e, 0x9a65d8c3, 0xab978c19, 0x5e1f7896, 0x6ab41ae3, 0x09574a47, 0x55745402,
+    0x92509668, 0x7a198952, 0xe621b971, 0x8a9cd72b, 0xfafb0ada, 0x6e666a31, 0x115f7c45, 0xc265063b,
+    0x359c8239, 0x50af8a70, 0x5fd3fcf7, 0x46409afd, 0xbb70715c, 0xa633068d, 0x4c8efe9c, 0x8c1d0f2e,
+    0x11c0ae48, 0x4f87037e, 0xbad4898a, 0x88f26b49, 0x899fca46, 0x00249757, 0x1159832b, 0xe270079f,
+    0xfcac8260, 0x5199ed66, 0x8f3c9e9d, 0xfd230a6a, 0x7f1fdde7, 0x302aafb8, 0xa29908f6, 0x1f8f80da,
+    0x2ed0e650, 0x72a4cbd0, 0xd256a8f1, 0xabcb1896, 0xa8ae8446, 0xeded3c2d, 0xb0249117, 0xb7148622,
+    0xc38365fa, 0xe52f26c2, 0x9f469dba, 0x27042dc9, 0xdc7cf6d4, 0x0bd62f30, 0xc52e193f, 0xb5f96f9d,
+    0xb3d181a7, 0x56302d55, 0x98491669, 0x24e50837, 0x81cefce9, 0x695578c1, 0x2ba49aef, 0x46f78639,
+    0x1de12aee, 0x9c3262f3, 0x69636a5e, 0x4a619b67, 0x226643bc, 0x1fdd521c, 0x9b7c25c1, 0x1dec2ff3,
+    0x8f796fab, 0x188fd49e, 0x0b16ab57, 0x9b5c6c87, 0x7b7bf986, 0x054696c8, 0xd06cc220, 0x5d5f28cd,
+    0x16ed616a, 0x9a71345e, 0xd5a6fae0, 0xda7d6e6a, 0x265c01ed, 0x50c9430a, 0x9b7f81f0, 0xa6b03d71,
+    0x32a238d6, 0xed8aa93d, 0xcb9027fc, 0x44c84d5a, 0x04157cf2, 0x037d2db8, 0xaa5a5512, 0x47c00a6c,
+    0xe3168f25, 0x04c3aa73, 0x041d1a32, 0x19747482, 0x63c84a7f, 0x3096048d, 0xba6476ba, 0x1dd1da2d,
+    0x0a5f9781, 0x18655fcb, 0xc8cbcdd7, 0x8e862b15, 0x13516138, 0xa7a0a41d, 0xdc5ea27b, 0x2a2c55f4,
+    0xf7e61485, 0xcf653710, 0x28d485e1, 0x15f51ab6, 0xde9090d1, 0xcdae48c3, 0x1c170920, 0x7b23d2dc,
+    0x38dd386f, 0xc6715f14, 0x0af62d98, 0x8cfdff49, 0xc5f17a7d, 0xe3901cd9, 0xac0f23ad, 0x90f78e55,
+    0xe30b2347, 0x0c51657f, 0xc71eb0c1, 0x9b62e690, 0x234c820b, 0x51b13b56, 0xb2fa801f, 0x270aabb0,
+    0xc5c16c0a, 0x9d1fc4f0, 0xc6255c6f, 0x186267e6, 0x2ba87cc5, 0xc670d888, 0x0cf56f33, 0x0536218b,
+    0x8c228b0f, 0x047557f8, 0x5286650a, 0xdb1b96f0, 0xb251c314, 0x5693d2b2, 0x5df34449, 0xb6d32851,
+    0x8506ab26, 0x9f0075f4, 0xd854ca96, 0x2c53e7e4, 0xd97b4411, 0x4f8cd4b0, 0x0b55f4b8, 0x837f9976,
+    0xc15cfdec, 0x4bbf2e4e, 0x29263c48, 0xc63741ac, 0x31e47af6, 0xbdbab948, 0xdc43d8b6, 0xefaf800c,
+    0x8a223ee4, 0xa4bf45b4, 0x6821089b, 0x23531d16, 0x80897b21, 0x58c3df00, 0x447b5313, 0x2515cbfe,
+    0xa2753f28, 0x195c07f1, 0x73b3e911, 0xb3200d1f, 0x41521a2d, 0xf06db6a9, 0x6be6501a, 0x8d6ec667,
+    0xf943224b, 0x2c7f5350, 0x34570f1c, 0xfc074b42, 0x37e3cf10, 0x70d06e59, 0x40e31336, 0x98212358,
+    0xab848a23, 0x832b74b4, 0x6a3c9007, 0xb47d6987, 0x47abf4fd, 0x27760747, 0x6e3a0869, 0x2f42ce1b,
+    0x0bd62ddf, 0x1716e706, 0x40bc316c, 0xb5933d9b, 0x802f5bca, 0x75fce8ed, 0x21b7e950, 0x0b4bf51e,
+    0x3f4b6ad2, 0x00c8a8e8, 0xb614fb5e, 0xdc0b20fb, 0xc375ed0d, 0xe3560622, 0xe938af56, 0xcbef261c,
+    0x82f5d6a1, 0x436a5041, 0xa0ade385, 0xed081449, 0x80a1287a, 0xcc52abbb, 0x298a2ab1, 0xa3a14abc,
+    0x00000000,
+    0x1b7fa9a2, 0x429ebca1, 0x1549c52f, 0x0c5c1db4, 0x021622ae, 0xa62f99af, 0x37f7d187, 0x2b16e495,
+    0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000443627151059330377532546269462893392549829932060130652\
+                          02727673289833940924890009968639590497666233249558259375382457149263586525184 */
+  { 0x00000000,
+    0xeed6dd42, 0xfaba58be, 0xc18422c9, 0xdb8b077f, 0x0a13fe50, 0x422308b4, 0xed95143c, 0x8a6919c8,
+    0x4cc4b73f, 0xcd1f6456, 0x617d4d86, 0x359019aa, 0xc30223c2, 0x484e3121, 0xd28b125b, 0xdd4674cf,
+    0xbec127b9, 0x9bb5b40c, 0x7473e5ae, 0xc6a33ee4, 0xb6a607c0, 0xdba88c60, 0xe7715aa2, 0x0b48f0b3,
+    0x4c7f857b, 0xcc129a76, 0x3e301559, 0xa8f04204, 0x0824624d, 0x895fd73c, 0x10a61e7e, 0x6e79344e,
+    0x8b5f2fca, 0x17c9f3d2, 0x467777ee, 0x09ce833f, 0x6bf3398d, 0xffdb30cb, 0xfe1a1c05, 0x9de0ed19,
+    0x99f58568, 0xd24b3f1f, 0x7cc375b2, 0x1ff97477, 0x5007d2a4, 0x7cb7d211, 0x624daf4d, 0x8c6dab59,
+    0x193f0d23, 0xd61300c4, 0x2ecdcbc5, 0xab2d637e, 0xfc8c233c, 0x88bc9c78, 0x8304be9d, 0x78d451ad,
+    0x50bf5409, 0xc4981356, 0x370cf80d, 0xefb5a526, 0xcc6101ef, 0xf980f8c4, 0xc7091a72, 0x9fde942c,
+    0xc14002ce, 0xc059326f, 0xa9151781, 0x036fb7e4, 0x39310f11, 0x03c7a375, 0x005be752, 0x22d65759,
+    0x6a9d8d1e, 0x2f9b04b8, 0x704d63f9, 0x85c49782, 0x94eac155, 0xbf212ef5, 0x48b219d9, 0x1c96852f,
+    0x063a1b10, 0xcd4c1a32, 0xe1cf6217, 0xc10b34bf, 0x88960045, 0x3701e434, 0x0cfae932, 0x6a8e0069,
+    0x37988d90, 0x02ab24e6, 0xbe64456c, 0xf13bd754, 0x87d45592, 0xc5cbb4f9, 0xccb79195, 0x4d62a994,
+    0xa66ab46f, 0xbf8db33b, 0x15145064, 0x4ad09868, 0xe1dd0120, 0x5db02e34, 0xff36d79e, 0x5d728fdb,
+    0x343bdc64, 0x1d897362, 0x907bc39c, 0xcf5715c1, 0xd6389231, 0x53c95f64, 0x40908a77, 0x71f4fbe8,
+    0x6ef59000, 0xee459060, 0xead309d4, 0xbba5d309, 0x462a4790, 0x065a4044, 0xf10c5df2, 0x2c872ec3,
+    0x18855875, 0x2b4c4e32, 0xc6befa42, 0xbb223b7d, 0x1aacfbca, 0xfbb22a23, 0xb666fe2a, 0xd33095d9,
+    0x7dc12e6d, 0x2fde0274, 0x14a2c0d0, 0x8442ceda, 0x91da5114, 0x9f09a34b, 0xc7fbb10a, 0x3159bd06,
+    0xf1a18ba1, 0x85f0a13e, 0x579a3c67, 0x83c1e2ed, 0x095f724f, 0xbc5e8136, 0x31c16aa1, 0xbca6502d,
+    0xf77db863, 0x198cfb14, 0x5cfff0ce, 0x09a5fb6a, 0x33391565, 0x28fdd7d4, 0x2cbd083c, 0xc6381428,
+    0xacc6f16f, 0xc59f26ba, 0xfea5d167, 0x1e0adbdc, 0x0c9270b8, 0xe4a9cb52, 0x7c35e3c1, 0xac7b7155,
+    0x410f0781, 0x0f001f5c, 0xa315a6f0, 0x86d08e05, 0xa53079ea, 0x54de6270, 0xafe2e176, 0x5ce54a5f,
+    0x41ca7a33, 0xfcb5dd58, 0x84ba3532, 0xd778da43, 0x00514bd1, 0x22e63956, 0x0e00feb0, 0x3c1027b3,
+    0x9a829b99, 0x160e89da, 0x14d00545, 0x784cdf88, 0x63e1d748, 0xeffbbfd6, 0xb0fce3e0, 0x03702c6c,
+    0x6a5e91d4, 0x787beab0, 0x55f1a45d, 0x9d455c15, 0x49927e95, 0x85b859ef, 0xe2cc9837, 0x223fd549,
+    0xeaf6dd87, 0x7f392cf6, 0x3ccead60, 0x164fdd7b, 0xf401c3ff, 0xfbd9be66, 0x260e9da4, 0xdd7bd89c,
+    0x44cd2b42, 0xdbb2f4ef, 0x90ca8fbb, 0xacc1a1b6, 0x35951d2c, 0x7cf995bc, 0x73aac538, 0x8eed29cd,
+    0xd961b1b1, 0x8f76c62a, 0xa914dc18, 0x9b97e646, 0xff894414, 0x159416c9, 0xa9339fe0, 0x75751f4b,
+    0x8a4463b4, 0x99947ed8, 0x2ee70e3f, 0xa9866333, 0x331b520c, 0x1fe63c0c, 0xdd3c6827, 0x342275dc,
+    0x8229ffb2, 0x3edcda8f, 0x034f6021, 0x11728835, 0x9b085ec5, 0x9a193286, 0xa260cba1, 0x90c891f8,
+    0x13bd47b8, 0xc9a4e3c4, 0xee8ee980, 0x157a366a, 0x7274c689, 0xd2b2a87a, 0xc8e0470b, 0xf6f952cf,
+    0x3c9465db, 0x1edb811d, 0x9e48268d, 0x01abad34, 0x5f9bf634, 0x90c5f61e, 0xbe8627fa, 0x71318cb5,
+    0x288e7412, 0xf0eac1dc, 0xefd861f7, 0xd4135558, 0x9dc07a5b, 0x14dd7ab5, 0x04405cc3, 0x72c77170,
+    0x1c356a87, 0x18026444, 0x6822e90d, 0x479869b9, 0x8dab358a, 0x7a5496f0, 0xc2e7ea8c, 0x9af6dcfa,
+    0x6a38d8f7, 0xc8a23a29, 0xd638ddd3, 0x5f6cdff8, 0x358db0d3, 0xc4557f38, 0xa54ba419, 0x97db9397,
+    0x7ffdb860, 0x15a550e1, 0x3304f293, 0x82b05bcb, 0x3065f783, 0x33b18d4c, 0xeaaf90fd, 0x7d77cd0b,
+    0x15bca2c9, 0x37f9328a, 0xfa697bae, 0xb41aa325, 0x05a6bb04, 0x95c94522, 0x0021f378, 0x147ffc11,
+    0x8affc6cb, 0xbb9e7252, 0x724c49ff, 0x366e42a2, 0x0b9c2678, 0x1f5e6e13, 0x1393cb3f, 0x7e696588,
+    0xc8508320, 0xf86e0c30, 0x413e2d4f, 0xf5bc922e, 0xc04e19ed, 0xb442fd22, 0xc3c5d118, 0x72bcab3b,
+    0x6264cf8b, 0x8a74d395, 0x81cf4a3e, 0xcbc89a95, 0x9253ab70, 0xde2fffe3, 0xc82529e3, 0xa778dcb9,
+    0x2e596cb3, 0x5984fbff, 0x39229ca2, 0x236c6461, 0xe2c4496d, 0x7f57ee78, 0x65734b64, 0x7ce9880e,
+    0x96362c36, 0xbdb5e9f4, 0x259bf9eb, 0x5cad20ab, 0x1a5edfa6, 0x2d3d7c52, 0xb3de5f2b, 0x445cdce0,
+    0x684160bb, 0xee3517d5, 0x27e919bf, 0x46010d48, 0x7ae778e4, 0x516aa812, 0x9520145b, 0x7033f3d3,
+    0xefccb56d, 0x3550ba17, 0xed065288, 0x9bf27341, 0x3caac74f, 0x070eb7b1, 0x58c243b8, 0x0d21de36,
+    0x2e37c03c, 0xd7970954, 0x7dfef899, 0x71336965, 0x235923cc, 0xc9da9809, 0x9783633e, 0x98581ea2,
+    0x6e409f10, 0x39c8a357, 0x39de64fc, 0x1f1eb4c5, 0x8c91a769, 0xfa55e452, 0xb733577f, 0xc33f78b7,
+    0x27f473dd, 0x86db5e4a, 0xf2ff04cb, 0xd7b06954, 0xbd6ba975, 0x3584acfd, 0x5970f031, 0x57d1d66f,
+    0x1b53da8e, 0x8ffe45cf, 0x53e3ca31, 0xeff9dce5, 0xaa1ec34c, 0x2510e3bd, 0xa676499d, 0x000fc792,
+    0x2a3ab363, 0x7b1c01a1, 0x6364d487, 0x495f3d26, 0x94f0fa45, 0xe3dbcfca, 0x2786060f, 0xa79a2874,
+    0x2c6af44b, 0x7ad8566f, 0xf97c1ca3, 0x4e564252, 0x7c0d99a0, 0x6e2daafc, 0x9a11f43e, 0xfd1ce7c0,
+    0x783b72d6, 0xd1995abd, 0xbd3cbc96, 0xdd769cbc, 0xeedf8dc5, 0xedb32ec5, 0x07a5cb82, 0x029d2ada,
+    0xa2a1263f, 0x93d81aac, 0xf08db66f, 0xca697a16, 0xaf73aa4e, 0x764a1a71, 0xe437da50, 0xb0b1fdfb,
+    0x9e90917d, 0xbaf73c95, 0xb775f339, 0x1556bd2a, 0x6526547e, 0x8f167877, 0x74212a62, 0xe703254d,
+    0xf7a39234, 0x9bc900e2, 0xdacc6768, 0x3259e4bb, 0x1b11daae, 0x65cd6f41, 0x4e8e07de, 0xaaaf9e4d,
+    0xfbfd7da9, 0xb12dddf0, 0x6609ff39, 0x8c5f6c0e, 0xb0cbcad4, 0x26c5818f, 0x4ad8d402, 0x55505e2b,
+    0x506cbe62, 0xecf5d1f6, 0x59a988ac, 0x58dbb660, 0x232635de, 0x3d6f7b6b, 0x4d8a355a, 0xd690b18a,
+    0x49de8975, 0x511fba06, 0x6b65b431, 0xd164a6f5, 0x94c577c4, 0x1b8dab76, 0x9982f3bc, 0x3d59252c,
+    0xc5ce3645, 0x344e9143, 0xbe68e606, 0x5210936d, 0x79fe0cfe, 0x18898588, 0xa6d9150c, 0xe4dea3f1,
+    0xfb6c33df, 0x64dcc813, 0xc37fc2ac, 0x6d08c055, 0xc2092420, 0xdb4ec095, 0x5cfae1d9, 0x6100dd30,
+    0x6d5bd525, 0x66327927, 0x5ccd72fd, 0xc67c5c18, 0x31c5faa3, 0x2d296502, 0x72b9c073, 0x6c910c28,
+    0x4beaff4c, 0x582e96d3, 0x8859f695, 0xac87d314, 0xc97fdb31, 0x74a7c71c, 0x838bafd5, 0x5e6f5efb,
+    0x7d860f3e, 0xfdd99d8c, 0x3838bebb, 0xc6de31f4, 0x861497b7, 0x5a0f29f9, 0xa16b7bd8, 0x99e7062b,
+    0x94170823, 0x4f6c8fd7, 0x6e5f40bd, 0xd5095bf1, 0xb46f8365, 0xb19a5a09, 0x8554e03b, 0x90009117,
+    0x7973099a, 0xd8ac81a0, 0x83025e81, 0x88591e8b, 0x26d9311c, 0x2616a767, 0xa89b49fe, 0xf61a87cf,
+    0x980b73a7, 0xb0ddace4, 0x37ba625b, 0xe85224d4, 0xf710440c, 0xbb4e18f7, 0x2a8c0b13, 0x8edcb560,
+    0x949f38b2, 0x26f630dc, 0x297a7f6a, 0x2d0196c6, 0xdf75363e, 0x16efbadb, 0x2768f0b6, 0xb8d0e347,
+    0xac92e9be, 0xc060a8ba, 0x95cf77af, 0x403e7f03, 0xa6f190de, 0x37e000be, 0x326e56fc, 0xf38fe910,
+    0xd09563ef, 0x36e26387, 0xa5226876, 0x62663089, 0x58f3d067, 0xe77d54fb, 0x31e5f003, 0x289cca10,
+    0x4a0a2835, 0x955e6a8f, 0x1004c0f2, 0xa7af5dd9, 0x6a4fe2a6, 0x12c49a00, 0x39029954, 0x2eb8b6a9,
+    0x39e5cc2e, 0x0484d4fc, 0x4bc0f6f9, 0x6cfe6440, 0xa88299b6, 0xab4dd9b4, 0x546a0270, 0x22f6e900,
+    0x120b5d32, 0x7592664f, 0x4317124b, 0x635e2803, 0x72d4969a, 0xfe40af35, 0x35672321, 0x5d397ce1,
+    0x8ff6daf2, 0x2d5e3a1f, 0xbc1e7aa8, 0x6e489662, 0x0a990194, 0x52588fc0, 0x394a35f5, 0x4c0a8343,
+    0xb7348b79, 0xa9bfb7bf, 0x1eb12f39, 0xd520177c, 0x61eb9b5d, 0x73c06d61, 0x77a45d48, 0x73db39cc,
+    0xeaed9a7e, 0xdf542f83, 0x28d1e67c, 0x11189225, 0x905b2f18, 0xae0e8a02, 0x9ecf0ff6, 0xe94b193b,
+    0xe8c16721, 0x15a6678f, 0xaa824e32, 0xe14bfb5e, 0x93d0da96, 0xd90234b4, 0xbb523e56, 0x625f1718,
+    0x334e9add, 0xd8c59dee, 0x8681894e, 0xeddcabfa, 0x5d3848d1, 0xc48dcf6d, 0x0df825cc, 0x657cd443,
+    0xff76a7b0, 0x8e1aba56, 0xbb443ed5, 0x0207997e, 0x58f48287, 0x3cac2b3c, 0x5575b3ea, 0x473140c7,
+    0x383c0c2a, 0xb6372d03, 0xc1b8c5bb, 0xc355d0ce, 0xf3d3dcd0, 0x98e7194a, 0x04ffb1d7, 0xe5322ee6,
+    0x7d1cd0a3, 0x9f2a3bd7, 0xb5b884f5, 0x9d8e5d91, 0x2618c7d0, 0xdbd6daae, 0x4fdd392a, 0xab1cff8c,
+    0xbd86fbd7, 0x77480586, 0xa289fbef, 0xb7e4fad2, 0xc652db91, 0xd76c45f6, 0x2e981c92, 0xa9e1b342,
+    0x2321b6f3, 0xa15c0798, 0x19dd7907, 0x6171b8ee, 0xd712d658, 0x7a59052a, 0x3d1f15f8, 0xaebf6fec,
+    0x610de184, 0xd3ddc6f0, 0xabaf3436, 0x7da6a068, 0xdef19001, 0x0cc079cf, 0x17d64835, 0xcde56af2,
+    0x1a158f27, 0xaf299a71, 0x97cfcefe, 0xb58b266a, 0xccf150e8, 0x50c4438c, 0x1f634661, 0x2a252594,
+    0xcfc35ffd, 0x47944c56, 0xbe3a2708, 0x2e797451, 0xb7f94332, 0x26559050, 0x3af83f37, 0xde783531,
+    0xfc105b3f, 0x7620e741, 0xc72b50f9, 0xd924c217, 0x9dbae5b8, 0x5af035ae, 0xb6a2d636, 0x3e4f5c04,
+    0xdc4dea66, 0x1cb02b8a, 0x4506a24d, 0x25126390, 0x2bb51851, 0x6ed28a72, 0x4fe26bfb, 0xceb4c21e,
+    0xf8f4d77b, 0xebcd02ac, 0x1fb8626f, 0xd594096c, 0xc88c2064, 0x23964f19, 0x44fb0214, 0xe88866c4,
+    0x6d8d3ac0, 0x0c6e44b5, 0x7dc95a7f, 0x40dd1311, 0x76317e2c, 0xa5abeb17, 0xbee55639, 0x321d510c,
+    0x64d51178, 0x867d8ff3, 0xb3b2a0d4, 0x4e21caf8, 0x74ec22f8, 0x6e37968b, 0x609b7c4c, 0x40f2e847,
+    0x56a90202, 0x7d0c3811, 0xde8221c3, 0x6e308ef7, 0x9c478b80, 0xeaea0564, 0x9eef8bd4, 0x09702b97,
+    0xa2c2cc84, 0xd0b3b0a4, 0xf7d79977, 0x7f80b7ce, 0xac8d5b91, 0xd4a673b9, 0xdd079949, 0x505560cd,
+    0x5b894e16, 0x375b0378, 0x00db10c1, 0x6da7d42e, 0x151da184, 0x10c08b1f, 0x1e5d6ad6, 0x41aca6ee,
+    0xfb74b5c2, 0x2d17799e, 0xaac4c854, 0xdae0ce4c, 0x78eb715f, 0x72289e6e, 0xed98736b, 0xfa0bac5c,
+    0xfcf96504, 0x3b123e9b, 0x779e683d, 0xa5082b01, 0xf0c276e4, 0xc9ae8b92, 0x9d1c8383, 0xffd8e5b4,
+    0x68bbe798, 0xadc542fb, 0x5290dd36, 0x3e53971f, 0x15d85d17, 0xcc1379ca, 0xda2e8fda, 0x60c858c5,
+    0x47851027, 0x6ad8143c, 0x917cfcac, 0x49d05537, 0x00d5e81a, 0x86656e19, 0xf129ddb8, 0x37ad8ca5,
+    0x396350d0, 0x26f49b89, 0x82e26bd5, 0xc6b277de, 0x07d33e1e, 0xf47f36b0, 0xfdafaae7, 0xdb7f5f39,
+    0x5924cc81, 0x6eba216e, 0x43044333, 0x89a0ca1c, 0xcbbb93a5, 0x76a74b5c, 0x3b7264f2, 0x0ab30be8,
+    0x4c4a0d4c, 0x6e7e2601, 0x913a1987, 0x226b4387, 0xc3cdc743, 0x4e020922, 0xc5e50c7f, 0x685085ac,
+    0xb65d4c08, 0x24424cc1, 0x657ca542, 0xc65cda5c, 0xb6d0d89a, 0xd69094cb, 0x85493b7e, 0x3f2dd2bd,
+    0x2edda0c8, 0x6fdbfc67, 0x37fb1c78, 0x8b00f1ec, 0x6b012798, 0x5249538a, 0x8c486a17, 0xb0529654,
+    0xec909eb6, 0xca6ae7ed, 0x7ed9de04, 0x9b54bef8, 0x3d63b243, 0xa2af3d45, 0x0e2b9983, 0xd6bd3f63,
+    0xcfcb4ea5, 0x50a0c3f3, 0x36fa810d, 0xf5305552, 0x48978f40, 0xaca91c08, 0x43969161, 0x38cf8e17,
+    0xa3e89d5e, 0xc01ac004, 0x0d70ae19, 0x066e7e31, 0x4c55969a, 0xb6d6e5fe, 0x38fd10dc, 0xa5c41433,
+    0xf55cd5f9, 0x0ac599e3, 0x78c3c3c8, 0x6505fa7a, 0x478e04db, 0x41e3d9e0, 0x507fd6ee, 0x01513152,
+    0x901f5800, 0x440d5e59, 0x4b1d4320, 0x92695c39, 0x75621bd0, 0x6dca76a1, 0xdf3cb10f, 0x575c1791,
+    0xc14d7cbe, 0x5624001a, 0xcb252f5a, 0xaed08b0f, 0xa1f0cb87, 0x158c4572, 0x86afe866, 0x89a7e426,
+    0x011f0e43, 0x3abf285a, 0xd257c937, 0x79f0ddca, 0x0a0cbac2, 0xed919e91, 0xe7461c71, 0x96c59cd1,
+    0x7264c3c5, 0x12c3221d, 0x66207997, 0x5f9ed00d, 0xfd64d929, 0x0b38c143, 0x034c9d7e, 0x3366497a,
+    0xc62176d2, 0x27228f11, 0x00f90947, 0xb37d2471, 0x31cec52b, 0x93360314, 0x61fe9a06, 0x084b029c,
+    0xae5a7e1a, 0x20f3408f, 0xbb1d0b77, 0x5e14638b, 0x57437474, 0x7effafc9, 0xc4a65b6a, 0x3b2f7c83,
+    0x9b35d24c, 0xbc855048, 0x1b68c908, 0x8baaf814, 0x4a8a4c50, 0x66a572d3, 0xf30c08fa, 0x835b39f9,
+    0x6f97521d, 0x5cff449f, 0xcd53e80e, 0xff3226f6, 0x1cc7260a, 0x10d1b989, 0x224514f4, 0x4fdabed3,
+    0xa8054ba7, 0xdde282e1, 0x6ed7d23d, 0xff39c6c3, 0xab15c507, 0xf592a249, 0x2498d8c1, 0x02573917,
+    0xcde61269, 0x52caef11, 0x0d8aefe3, 0x3538cb80, 0xeea6b42d, 0x3257767f, 0x87c74620, 0x3cd942ab,
+    0xd8c8cdef, 0x425263f2, 0x309d5cf3, 0x0140f5bb, 0xc155f7a2, 0xb3283834, 0xdf8b1120, 0x616d892a,
+    0xbeb15986, 0x01ddcbed, 0x01d5a07b, 0xe8f8087e, 0xbbd2d9ac, 0x4c8509c2, 0xffc4f7d6, 0x357908c1,
+    0xe14f28e7, 0xeccf6b0a, 0x5a628e44, 0x7dbec3a4, 0x5cc15df9, 0xa3ec98fe, 0xe777ab27, 0x9f3f50b0,
+    0x420c7a27, 0x0d4d5342, 0x22e9fa68, 0x5c1e4ddb, 0x6d9a044f, 0x5f4f3dad, 0x69f23766, 0xb85bb8c9,
+    0x53e8700c, 0xbe18b11d, 0x011d320e, 0x838879bf, 0xacd283e0, 0x02bfd3d4, 0xcd1e1d7b, 0xfbbbd3ee,
+    0x22b66f86, 0x7f9bb7dc, 0x86735dd7, 0xbcb2b1ea, 0x3ca7ee25, 0x4342aa6c, 0x39aba653, 0xde4e97bc,
+    0x7a068d10, 0xa9463973, 0x730c509b, 0x04bfe89f, 0x70bc8fe4, 0x07ed32d5, 0x50c7fde0, 0x94baf501,
+    0xe42d6e74, 0xc3ed2d64, 0x5f06fee4, 0x2ed831f5, 0xa0176ad7, 0xcdd4ce26, 0x86fa8c93, 0xfb9aea5e,
+    0xce6d3af7, 0x733b45e7, 0xd713d156, 0x38731a27, 0x4f4b69d3, 0x62cb2327, 0x9b78715b, 0x4c2b80ff,
+    0x50232e17, 0x768b4daa, 0x18abee79, 0x53dbcbef, 0x4048689b, 0xcf51f36e, 0xee61df11, 0x880643f3,
+    0x5d10b4a6, 0x0c5619ce, 0x751be933, 0x75ed8cda, 0xc5806d77, 0x0c084d3b, 0xbbafbf03, 0xa9f76fee,
+    0xd1f9439a, 0x28136b5f, 0xe65c8907, 0x08aec457, 0xb2132a47, 0x7b84f49d, 0x432b534b, 0xccab325a,
+    0x00000000,
+    0x8dbfd4d0, 0xa14f5e50, 0x0aa4e297, 0x062e0eda, 0x810b1157, 0xd317ccd7, 0x9bfbe8c3, 0x958b724a,
+    0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000221813575529665188766273134731446696274914966030065326\
+                          01363836644916970462445004984319795248833116624779129687691228574631793262592 */
+  { 0x00000000,
+    0x32f248b6, 0x5a84053d, 0x898eed1d, 0x8f18db00, 0xca270b7c, 0x2ff8e986, 0x344c4292, 0xb5c89e8a,
+    0x766d8812, 0x2e1e2f2f, 0x8dff2e04, 0xb1e11d99, 0x249786e2, 0x95290127, 0x98d92bab, 0xbf674d7d,
+    0xb05caec3, 0x92db8567, 0x82086ed7, 0x3242e421, 0xe0ba8c52, 0x85169dd6, 0xfd700c80, 0x09abbaf5,
+    0x928d8ebd, 0x79bd3202, 0xd7ce3327, 0x454c5380, 0x566aba30, 0x5c262e67, 0xee04967a, 0xef2d0652,
+    0xd35796a5, 0x66c10c60, 0xebb863d5, 0x34bb4f81, 0x0ab0d651, 0x4eb8ed9d, 0xebbfc5fb, 0xf255cb2f,
+    0x65b161f3, 0xd52a89b2, 0x37c53841, 0x7adc5cb0, 0xd6e2b36d, 0xdf11f37d, 0x6acb14f3, 0x4f574cd5,
+    0x75317d90, 0x71fa4f6a, 0x1c557e5c, 0x0f255e84, 0x136c1290, 0xa4848498, 0xb9214490, 0x98b8d2bd,
+    0x33fb9a77, 0xb9afc00c, 0xa0a6c5ca, 0x0a52b04c, 0x9b6419c3, 0xf1a99327, 0xe6184acb, 0x8be2a4c3,
+    0x16075636, 0x3138d306, 0xf124a776, 0x178b3cf5, 0xe732d1ce, 0x9f7a3562, 0xdc434322, 0x3c26ed93,
+    0x401a57ce, 0xd07ef412, 0x037a244c, 0x1e2a4097, 0xa728a6ea, 0x9a4965b9, 0xb47a4291, 0x24584e8e,
+    0xccde25c4, 0xbc7fa695, 0xa31e3e17, 0xb782700b, 0x6ce571f3, 0x12834c85, 0x3b1b3942, 0xa07de4e2,
+    0x52e15919, 0x7ca969b0, 0x2b81f33d, 0xff938761, 0x7e3ca22d, 0x4a25fb7f, 0x7db171ae, 0x93e7df01,
+    0xbdce59c4, 0xa4fbce58, 0xd735f50d, 0xbde65c69, 0x6f3aa92c, 0x8b83fd16, 0x49411422, 0xb44f86cf,
+    0x8dd9e8f7, 0x57f1e744, 0x410e3e18, 0x010d9a45, 0xd804fa1e, 0xac6c865e, 0x1ca2d600, 0x81560149,
+    0xafe94b7b, 0x668dc56d, 0x8aaf3ecd, 0xc6339a9d, 0x2876255a, 0xfe66282b, 0x8a447967, 0x8b77585c,
+    0x2ce17243, 0x4afbdc77, 0xb337a818, 0x1bf9b9bc, 0xf65960a0, 0x3c3e3f15, 0x9c5421f0, 0x06161733,
+    0x5ee43351, 0x8df3a6c3, 0x155a273e, 0x442ddf40, 0xc263ccdc, 0x408dad73, 0x11f85113, 0xc32b20d7,
+    0xf48d6183, 0x640f2155, 0xd064a030, 0xc31fae1b, 0x9d86189a, 0x47ffd773, 0x51f48414, 0xe9747bf1,
+    0x5f1e9f3a, 0xbc2f63c5, 0xa596548a, 0x8fc4fa78, 0xbf43e78d, 0x32f99b1e, 0x67df6145, 0xf884b0d1,
+    0x275ecbf5, 0x5348bdbf, 0xd743180d, 0xa81b04dd, 0xcfe06e38, 0x653deb00, 0x8d9845b5, 0xa144f47b,
+    0xfcf94e6b, 0xefc97200, 0x4e4ccc6f, 0x5f987e7b, 0x817831ac, 0xbbc068be, 0xb24b2480, 0xaa0430d3,
+    0x840fd439, 0x7879f119, 0xdd7d1423, 0xe47e64b4, 0xa0c58576, 0x8fde8d9e, 0x42ece6ee, 0xbb3d5043,
+    0x3cf052ed, 0x67adb41f, 0x6440a7b3, 0xe8978392, 0x07197540, 0x874e9364, 0x372a3cc0, 0x84fd1573,
+    0x5407411d, 0x23aed836, 0x2509c1a5, 0x6dfd6ab4, 0xd19eaa46, 0x56c16402, 0x2ccea225, 0xb3d44238,
+    0x1eeca157, 0xc5983d9c, 0x8e7762fd, 0x6a91d2ad, 0xfa7b8761, 0x74b8eb28, 0xb57d01de, 0xe4f5f623,
+    0xd7460505, 0xcafb30bb, 0x7327cc50, 0x0857bc99, 0xfa83cd56, 0xf7c0cf43, 0x896b3144, 0x4ee2d5d0,
+    0x6d407de4, 0xdbcac508, 0x8a8b41c1, 0xca8605b9, 0x9a843c76, 0xc0b54180, 0x96f79830, 0x6c3e22ef,
+    0x6dcca05c, 0x55ff77c1, 0xe577afbf, 0x3c17f7d9, 0x74fd1bc0, 0xf331f69e, 0x4189707a, 0xa0a77182,
+    0x0b1ce328, 0xdd1d18f7, 0x61d93a5e, 0xa86b86cb, 0x6675a621, 0x3d21d193, 0xd8108017, 0x19ff5485,
+    0x6e2c4569, 0xa3d3ff3b, 0xa4f7672b, 0x4f748ed2, 0xfa753a73, 0x70cf2f8b, 0xce145a78, 0xddb1f4ba,
+    0x4a2e5a21, 0x2cbe962d, 0x79712a26, 0xeb5d5aa3, 0x3cbf7602, 0x0a123fbb, 0x6713a7f4, 0xb33d8b92,
+    0xd8f2a5da, 0xb2133624, 0xe251d944, 0x062d60d0, 0xb256a2a2, 0xde341128, 0xf285870f, 0xd206a3bb,
+    0x4340a3e9, 0x83989508, 0x575e7ea3, 0x85b0d415, 0xdf1a7eb6, 0x689f8471, 0xdc9a26bc, 0x67ec07e0,
+    0xaeeb2e69, 0x8ffcb1fc, 0xef7f4001, 0x80350050, 0x9904db3b, 0x392210f3, 0x38101b70, 0x63b533ef,
+    0x54fed5ee, 0xd3a72ee8, 0xc226a15d, 0xde68dc60, 0x6af0c85e, 0xc34b85a5, 0xe608aeb8, 0x32a8367b,
+    0xe9b54e38, 0xe46cfa0f, 0xd81409db, 0x7942d1b5, 0x6ddd350f, 0x8a1f9aad, 0xcb6fb3b9, 0x2915e081,
+    0xfdc86774, 0xae50790d, 0x06fc3c14, 0x3e3fac34, 0xf54380f4, 0x96956ab2, 0x59f5d285, 0xdb2f1e59,
+    0xd63b8c8c, 0x7192fd34, 0x016b8d8c, 0x472998ff, 0xa3fe28ab, 0x7749d66c, 0x52381936, 0x62df267d,
+    0xecc1c641, 0x03bc21b4, 0x59101d2c, 0x7899b8ab, 0x8522de6f, 0x7252838c, 0xed890e8c, 0xe19f9530,
+    0x9b08ea83, 0xfc3e8933, 0x7d9e4d5b, 0xb85f5be6, 0xadb66cf8, 0x57e11e3c, 0xf7b45e82, 0xaf13f95b,
+    0x303f0406, 0x61b03bd0, 0xa2e16ef4, 0x34c614b0, 0x2243d0d5, 0x3b22847a, 0xf1beba93, 0x19767c4a,
+    0xf7baa2c6, 0xe75fd4d3, 0x77647a2d, 0x39a2bcbc, 0xc75326e0, 0x674793e1, 0x60e502e6, 0x3ac5bb3a,
+    0xbd97acb1, 0x935b034e, 0xfd1545d6, 0x48e690c1, 0xd5c24e27, 0x8751f591, 0x63053efd, 0xeced3d9e,
+    0x0234fbe7, 0x4188dc05, 0x58e98b7d, 0xea5630f2, 0x60db9ef5, 0x5c17f7d8, 0xec92ad44, 0xcd6507d5,
+    0x0592d0ab, 0x7f89d6b1, 0x3385b0e0, 0xee95b98f, 0xd6e1e8c9, 0xd536eba5, 0xfb4c246f, 0x2ec6b6ad,
+    0x6ad0c706, 0xea034ca0, 0x849d6e36, 0x49febb4c, 0x211de6c3, 0xe39ce5f1, 0x0605838d, 0x1fa47634,
+    0x8b92ddaf, 0xe2dd7c2f, 0xf21a96ab, 0x1809099d, 0x537be0a9, 0x217be532, 0x766c84de, 0x3c35c6f1,
+    0x0915c07d, 0x0e8506a7, 0xdd294f48, 0xea6c58a2, 0x7ed048e4, 0xa22f81a1, 0x439d478a, 0x06aee93e,
+    0x57c95e23, 0x5885d16f, 0xf36e5489, 0x31912c11, 0x62fb9ba1, 0xadfc387f, 0x04c3c13c, 0x68558647,
+    0xcf174ad0, 0xfa4d5ef1, 0x2ab9aad0, 0x9163842c, 0x741b2565, 0x60a87b2c, 0xc3cf0f31, 0x00b457bb,
+    0x45091b30, 0x9c48008a, 0xaeff0d46, 0xa85bd30d, 0xc172f68f, 0x54941360, 0x63d03234, 0x2ae1e541,
+    0xbc11974f, 0x41b918ac, 0x5bb8eeff, 0xa3df1539, 0x437cdc92, 0xe24d8b4f, 0xf4cc8475, 0x717716c5,
+    0xdbdb6d76, 0xe5109ff6, 0xe8f09a6b, 0xdac0e356, 0x3382984e, 0xe8d5f661, 0x4d528d55, 0x53cb5e78,
+    0xf0ead4c8, 0xc82eb78a, 0x0577804b, 0x3d031ca8, 0x43098844, 0x8618b691, 0x3c41215a, 0x54d7b90f,
+    0x6f81a709, 0x7f425bdb, 0x0e607b9f, 0xabf54e33, 0x26b01588, 0xd2947113, 0xe1008c52, 0x5a5780ae,
+    0x27444234, 0xca54c743, 0x283dfc15, 0x7950dcc5, 0x58127e96, 0x69f4eae1, 0x3f7cf345, 0x1d50cae7,
+    0x019e6394, 0x2ed7b7b4, 0xee77e60f, 0x66b243a7, 0x4f14b7fa, 0x1e13d1bc, 0x3e08c929, 0x5f59725b,
+    0x52ade592, 0xf8e426d1, 0x2e81bf67, 0x1f431e4b, 0xb2ffca44, 0xeade305f, 0x16a277a2, 0xc2b84a4f,
+    0xe36c03c8, 0xaf4fdc7a, 0x0aed9289, 0x8f8c0736, 0x7f0909fb, 0x2c603d32, 0xb20682cb, 0x32d5cc93,
+    0xe7e851f6, 0x72e1b3ac, 0x5aa71537, 0x80cc711d, 0x66189e75, 0xa39fba61, 0xbc38f14e, 0x366ddc8f,
+    0xd49942bc, 0xe5bec1ac, 0xc907da9f, 0x988ddfd7, 0x5b67dcd8, 0x6d261637, 0x6964e736, 0x8a3f1ec9,
+    0xe43ec1cd, 0x08edd67c, 0x7624d9ff, 0x6dda8034, 0xf6c33156, 0x13438432, 0x599b7aa2, 0x9e01e9f8,
+    0x560bb8b3, 0x828691e2, 0xf722176a, 0xe9267f0e, 0x83dd32f3, 0x11c16796, 0xf6f6b87e, 0x95ded2f7,
+    0xaf37232d, 0x86fbf8bb, 0xe6551b4a, 0x28caa15a, 0x8fe86d73, 0x7468bf81, 0xb4e1a622, 0xf12d1f08,
+    0x7fe4510f, 0x4ccd0d24, 0x774c05e8, 0xa3b2296a, 0xc3fa5715, 0xb2e31e1a, 0x1529535e, 0x7dd9b633,
+    0xb6152635, 0xc73b996c, 0x56ca8c1e, 0xd43f5ea4, 0xa003cba0, 0x09a22ef3, 0x970b8f9c, 0x70f884ba,
+    0x6387a354, 0x92f3b8e1, 0xa3951bae, 0xe1b965e6, 0xff04cafe, 0x511b62a7, 0x4c0f9fd5, 0x8099f09e,
+    0x37a896ac, 0x42bb0acc, 0xe1577a14, 0xe4844c95, 0x0802cf5e, 0x72161d91, 0x41fd3511, 0x3fcd9cfa,
+    0xb6455507, 0xa442b33d, 0x9bc3192a, 0xbcca1921, 0x2000b1f5, 0x88eaa473, 0x02c6a8b0, 0x9be288cc,
+    0x03633cbf, 0x58d03439, 0x7356e8dd, 0x678b1c0e, 0xe6b142c7, 0x90f2d650, 0x9562cea2, 0x4c9dc04e,
+    0x6c584b47, 0x495a5fd9, 0x65478cd5, 0x0035a3b8, 0xf9a7df66, 0x05737fbb, 0x6d564e83, 0xaf913427,
+    0xd4f45a36, 0x58736154, 0x2810a7b7, 0x8c096a9d, 0x330a405d, 0xe6714c52, 0x2c82db1f, 0x6c037618,
+    0x2e892832, 0xc4038b56, 0x9dd6da00, 0xbfad6ed0, 0x33901d56, 0xe6769942, 0x8b263c6a, 0x36041fc0,
+    0xb8d0b814, 0xf0536f32, 0x9d8048dd, 0x2c28cef0, 0xe8275aec, 0xd4b6c3b6, 0x01116a27, 0x8300cdbb,
+    0x27c4cf56, 0x408d5619, 0x403adfa7, 0xcbf4d708, 0x6047aa52, 0x6be051c5, 0x75c5af44, 0x44837f8e,
+    0x91ec8189, 0xb9645363, 0x6ebe05c0, 0x0c2b6b76, 0xa1c53e8b, 0x44e2405a, 0x5322e9e2, 0x2cd466aa,
+    0xc63f7af6, 0x40b5714d, 0xc3cbedb3, 0x636dbcea, 0x1f951c71, 0x5ad7e95f, 0x73f89b7c, 0x6406ba8b,
+    0xb432d652, 0xfc7866f5, 0x92980e3e, 0x1b0d0530, 0x5aa633cb, 0x8151cd87, 0x4d2dbea8, 0x1114f9a9,
+    0xc15d6b28, 0x3526877b, 0x9b2da4a4, 0xbcff5ef1, 0xd7e4f426, 0x9580c1fd, 0x13f9aee1, 0xde05de2b,
+    0xf3388720, 0x8d64cd40, 0xf11e807e, 0x7e232855, 0xc39744ce, 0xf02d7a15, 0xc45b5b32, 0xffa62ecf,
+    0xb53c3385, 0x4f68bded, 0x07e72cf9, 0x891edb14, 0xbc7af51c, 0x8b3bb2ce, 0xf641cb8c, 0x6610d731,
+    0xf66201b3, 0x17029da9, 0x5f715ab0, 0xec53c242, 0x77aae3f4, 0x8a0121f8, 0xb4942dc4, 0x3fd5c372,
+    0xa144b41d, 0xaa6cece5, 0x147b3efd, 0xb5852581, 0x2f87982e, 0x9102fec8, 0x97e7bb9b, 0x521cb32c,
+    0x69834605, 0x3ce1aaa9, 0x0edeb4e2, 0x0bb344f0, 0x76124279, 0x4bbb78f5, 0x9945908f, 0x4702b143,
+    0xfbda119a, 0x44e5cf22, 0x381beaaf, 0x662470af, 0x2917f663, 0x4a45e5ce, 0xceec0cc2, 0xdec81362,
+    0x978ed70b, 0x085d1fbb, 0x64518fc1, 0x25dbfdfe, 0x05be9d20, 0xb9dee6b1, 0x5dfdf702, 0x5e289424,
+    0x7d2fbd69, 0xd081a37e, 0x8d52556f, 0x3ffa4958, 0x49d87e17, 0x365597ea, 0x2c62bf32, 0xbf2be0aa,
+    0x3a5e6f30, 0xefd63e93, 0x88c93b36, 0xb7cdc921, 0xc75c1bf4, 0xca490b16, 0x5fc14ae1, 0xca84ee78,
+    0x6a5cc8a4, 0xafb5a147, 0x147d4364, 0xa145ae14, 0x80b2ea40, 0x56c030b3, 0x56750ce7, 0xf8386000,
+    0x8987356f, 0xd700b3ac, 0x41155663, 0x61e90aaa, 0x380a7a55, 0x0dfec0d4, 0x3e21f7d9, 0xa93be057,
+    0x4bfb535e, 0x603bd493, 0x6f542acf, 0x69c21f9c, 0x4e0b85eb, 0x1d289bd8, 0x706ee6a0, 0xe85f563b,
+    0x01ee8e63, 0x6dbbe5e8, 0xea59be53, 0xe7fe68bb, 0x99e9a4fb, 0x2270c0d2, 0x052a37ed, 0x26818b37,
+    0x4fd21431, 0x3f263c67, 0x95f30540, 0x4ac675be, 0xf4d0e128, 0x13a213cc, 0xa3bf654e, 0x96b39b2c,
+    0x52c30839, 0x15646908, 0x61662149, 0xa72aede6, 0xcf4014fa, 0xc3843851, 0x428feb50, 0x7b3397b3,
+    0xd08dcf19, 0x259c6fc7, 0x4f1ce5b6, 0x6fa9f5b0, 0xce8fa6f9, 0x4ea1ac9c, 0xac43b148, 0x72aa5fd1,
+    0x0e82f432, 0xb2dac393, 0x07501681, 0xee50f458, 0xa2c6b754, 0x94f026a5, 0x1b28c893, 0xe80e952d,
+    0xa6a99caf, 0x0081dd68, 0xca37dd6c, 0xa833f80c, 0x96ffa183, 0xd429fdd4, 0x6a2add6a, 0xf066d076,
+    0x9a371e08, 0xfac7c7a7, 0x6dceb2a7, 0x6ca0b08f, 0x5c1626fb, 0xf29aa3a6, 0x10f11820, 0x1cc7f1ba,
+    0x7250f136, 0xa34b3690, 0xcf7f9443, 0x53c040fe, 0xc7e2aca6, 0x43e93b87, 0x81ac1f59, 0x8416c158,
+    0x5f7e6691, 0x20e1cf7b, 0x3ba0f02c, 0x19659343, 0xa0570033, 0xe7ebc7a6, 0x50280fe3, 0x65adf0ae,
+    0x1a30d0b1, 0xd67aa27b, 0x1ab3e34c, 0xa978386e, 0xe7e5a5ba, 0xa9b5ee14, 0xb517d08c, 0xe844857c,
+    0xcd609c31, 0x8d2c5adf, 0x9070b4b0, 0x353f7179, 0x134cc7be, 0xdbb7ec94, 0x08709fac, 0xc1a2311a,
+    0xe1ebdb5d, 0x3088b851, 0x6afe0903, 0x22b0c68f, 0x6b2f33a9, 0x6f4b404d, 0xb14a71ee, 0x65c3f0e3,
+    0xf199e8d5, 0x9f4be664, 0x4175b313, 0x9ab09ce7, 0x4a90d5fd, 0xaa7a44a4, 0x5d9baae3, 0xa8bb2284,
+    0x81710d34, 0xfa7cd482, 0xc532f70f, 0x241df72c, 0xdf92ad30, 0x83a24ec5, 0x6851c170, 0x4687abac,
+    0x3b035593, 0xf1896079, 0xb5508735, 0x01766340, 0xa2be8769, 0x70c72bcc, 0x3608ed0b, 0x6616e943,
+    0x70405e7f, 0xaff0e421, 0x05d8c4c4, 0x9eafbfe6, 0xf4b89654, 0xcf0b145b, 0xedb5fe5f, 0x9805f88c,
+    0xb8c12200, 0x918b79d2, 0xb48a3867, 0xc74ad28c, 0x5b5e2198, 0xd5f0d1c5, 0x2ebf6f74, 0x799d149b,
+    0x6b2443fa, 0x25ab932f, 0xa9e527fd, 0x3a18d263, 0xe970592b, 0xdbd8dbb3, 0xbdac471e, 0x5eda6fb0,
+    0xb2e4103c, 0xc939ea7a, 0x60018776, 0x784b99cc, 0xc0ce4a4e, 0xc13a5467, 0xdcb97c48, 0xf81ea90e,
+    0x148bdc19, 0xb2cbf7d5, 0xaf6ec403, 0xd7de8bec, 0xe7a2d133, 0x465f063d, 0xf013af4a, 0x40f6e09d,
+    0x018e0a28, 0xc0b28ddb, 0xd589122d, 0x3a9ed545, 0x748a04be, 0x31fd504e, 0x020b993f, 0x62946487,
+    0x8b0e82d4, 0x75435a4a, 0xe6945cd2, 0x1ef31ce0, 0x94765eda, 0x4ea834c4, 0xdd77e7f7, 0xe8771787,
+    0xd69f4290, 0xc2bebe28, 0xd2f3d4fd, 0x99bd4aef, 0x591acdb8, 0xe06d6fd1, 0x45164c17, 0x1bcb3de7,
+    0x55f07059, 0xa2c7d578, 0x3a1de502, 0xf9da8201, 0x2afd857b, 0xd34fef8f, 0x6e27fd00, 0x6c0cb7b2,
+    0x408115bf, 0xe878e116, 0xdaf16209, 0x80353b00, 0x7aed5a63, 0xe4ec5e46, 0xfa8814c7, 0x412db016,
+    0xf253099b, 0x52bddae3, 0xc96a262e, 0x10cf081d, 0xaa2b0125, 0x53a97745, 0xcb6aa6e7, 0x4ada4066,
+    0x28cb82ad, 0xb7f68a5c, 0xee1f9ada, 0xb8f1a3f6, 0x63bc9620, 0x2b85415a, 0x31eba6c3, 0xf5f8b276,
+    0x466e5496, 0xb59742f8, 0x0ef01594, 0x933c2a8d, 0xd79e5822, 0xf75d06c9, 0xb5fa3638, 0x0d68efc8,
+    0x28385774, 0xe7c7d0c7, 0x1d4ceba6, 0xfc34af66, 0x34f71638, 0x606ffa9d, 0x45c8500b, 0x976cf56d,
+    0xd82f2c3c, 0xd160446f, 0x9f11cf3f, 0x648f934c, 0xd9c2fbc3, 0xd209c56d, 0x228f0a58, 0xa9f691cb,
+    0xfe225778, 0xfae15bef, 0x4cac93a0, 0x05d8b3f7, 0xe7d7d79a, 0xb731cdcb, 0x1cccf25b, 0x472a0a63,
+    0x2a9d04bc, 0x4a2f5a9b, 0xb5904b5f, 0x6361607c, 0x116f99d0, 0x0eee0449, 0x34b15311, 0x52522ab8,
+    0x7d2934f9, 0xcebb488f, 0xf20e26b5, 0x7c486001, 0xbc42ee47, 0xf260a720, 0x78ca4012, 0x0a23c60a,
+    0x08ef2597, 0x98a45dd0, 0xc98766c7, 0xe196f5a3, 0x758d34b3, 0x3b4628f8, 0x63fd97ba, 0x60ab675b,
+    0x9d82cda9, 0xac18850f, 0x2bf9cbb3, 0xaed3c2a6, 0x22947a8b, 0x6c589136, 0x9d4f6fbd, 0xe4e6647e,
+    0x00000000,
+    0x46dfea67, 0xd0a7af28, 0x0552714b, 0x8317076d, 0xc08588ab, 0xe98be66b, 0x4dfdf461, 0x4ac5b925,
+    0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000110906787764832594383136567365723348137457483015032663\
+                          00681918322458485231222502492159897624416558312389564843845614287315896631296 */
+  { 0x00000000,
+    0xc0d555f2, 0xc975a168, 0x3569b871, 0x62ea4149, 0xb7a9c4d6, 0x914298a8, 0x11b6f626, 0xe4be63b4,
+    0x9ea0f5f0, 0xc7ed1590, 0x612af36c, 0x2c92eb76, 0xea5b38bf, 0x1f6cfec6, 0x1a75ea2f, 0xb1a2e963,
+    0x9d5aa598, 0x856bef2c, 0x3bd16acb, 0x80173362, 0xf4a0b9f5, 0x5db1413f, 0xb8c87386, 0x922406e0,
+    0xf0bfc246, 0x408d6237, 0x006e73cc, 0xe4bb6553, 0x1dfb9bba, 0x41ff8c17, 0xbb07eeb6, 0x3576cbbe,
+    0x2954cb5a, 0xa81a1c47, 0xa0cf73a9, 0x38eef2f7, 0xd0193ba4, 0xcc81660b, 0x90ebb877, 0x5f8b8b35,
+    0x5dfda8f7, 0x8e630c91, 0x0a80f3ee, 0x596651c8, 0x00a1bacd, 0x09db757b, 0x3f33fded, 0x6c6e1258,
+    0x4ec01881, 0x9b12799c, 0x996a0673, 0xae433312, 0x16593284, 0xb977a1bc, 0x1614b67f, 0xcb06af6f,
+    0xb018896e, 0xd245a28e, 0x1056cee8, 0x2e2551ca, 0xe065c955, 0xc8496e82, 0x17330373, 0x17460e5c,
+    0x66dcb888, 0xfb08724f, 0xafe298b1, 0xe157fe6a, 0x6e80daaf, 0x0bb4fd53, 0x794b3eb1, 0x29e5542d,
+    0x89bfb386, 0x6bc253e0, 0x43ba4221, 0xc27ba43a, 0x2cacdee8, 0xc411b3e8, 0x28654a0d, 0xa0b3a3be,
+    0x9b2c83da, 0xd6ceb650, 0xcbdec2c2, 0xdcece47d, 0x3d59d921, 0xc82c4fc8, 0x9651c68d, 0x3f006278,
+    0xa1ce475d, 0x6710b8b4, 0x17cd8264, 0xe8139de8, 0x24a80d53, 0x5886e3e0, 0x7e73d43e, 0x83ee7648,
+    0x376a6222, 0xc078ae2b, 0x724e842a, 0x76668c76, 0xdda3fd37, 0x12c9e458, 0x42b2e473, 0x4608b618,
+    0xdbde3616, 0xc2a7581e, 0xddd8b74e, 0xdfb5dbc8, 0xd1b3777a, 0xf8effd81, 0xee9ca903, 0x5f6f53ad,
+    0x1d5e4900, 0xd770b0bb, 0x43af537c, 0x5d2c8fc0, 0x192d3fee, 0x69738ce8, 0xb53c0544, 0x535e2b92,
+    0x0eecc25a, 0x71f7687d, 0x66697d6e, 0x6f6aa594, 0x1dc0bc9c, 0x496d4afa, 0x4d56732e, 0x50e4d916,
+    0x6cc04146, 0x7fef7567, 0x76cc89fa, 0x2f80d16e, 0x03b965ce, 0x0b16f3be, 0x5e6aac77, 0xb12cafbe,
+    0x37177a0a, 0x8cf181ea, 0x2af37424, 0xa43be48a, 0xda0046b2, 0xf2bf5916, 0x6104b243, 0xa1f025ad,
+    0x78f59230, 0x1ace0456, 0xa08985ee, 0xb133b3d4, 0xe5a1ac48, 0x48aa51d3, 0x7f4d42f2, 0xbcc71ce2,
+    0xb23dd0bd, 0xae2b7aa3, 0xb3a0bd9f, 0xbd01d298, 0x2a144c84, 0x42b1bd90, 0x3c230da0, 0x5facbd16,
+    0x2289676e, 0xcf6f0c0a, 0x702bfeb4, 0xf03ad5b0, 0x237c36eb, 0xa85b8518, 0xe730d4ae, 0x46fc6b75,
+    0xbdab3146, 0xd50042b6, 0xda2afb06, 0x31096b5b, 0x55592c23, 0x79cbcd4d, 0xe507934c, 0x38e732fa,
+    0xc5224d84, 0xa9cf3a19, 0xb73d38c1, 0x6bfc34c5, 0xfba096f3, 0x4abdcca8, 0xa75afef6, 0x496ade1b,
+    0x60808968, 0xd490b0e6, 0x3d94bef3, 0x7237bcd5, 0x6e95f718, 0x2280ddc0, 0x6262fe79, 0x7624e056,
+    0xe2072c34, 0x5a91b80d, 0x46bb9b5b, 0x0282bea6, 0x19992d47, 0x71e2eac0, 0x2f8593cf, 0xf1507e97,
+    0x348837e3, 0x22ed9051, 0x3c3b5145, 0x8acf2a3a, 0xb43095c9, 0x6ad0b79e, 0x95c2b440, 0x548f7e54,
+    0xe3c5990b, 0x3c6a8542, 0xcac1558c, 0xaabf6af2, 0xaa30f5f3, 0x84ac6887, 0x538c2369, 0x1bd9dee1,
+    0xf0defd2a, 0x00f7a6d9, 0xd91faa40, 0x2523188b, 0x589da794, 0x631acb01, 0x0b10b2f6, 0x3ac36cb0,
+    0x0c82ff13, 0xc99cbf59, 0x12201508, 0x29e46400, 0xda76cdcf, 0xe5db06ea, 0x9d1c49fc, 0xd04f187b,
+    0xc0c0f60c, 0x2b9331ec, 0xa1e52adc, 0x24c5fc83, 0xb0772c99, 0xecba771d, 0xa85e1cf5, 0xd88f84ad,
+    0x4af1ce30, 0x4ca8ee73, 0x87d004a5, 0xd703eead, 0x0e8ec50b, 0x27b437f6, 0xdbe8a72e, 0x608cc095,
+    0xc1226c0b, 0x78c0e49a, 0x28bb110c, 0xefb5397e, 0x2e41a3ce, 0xcd52c139, 0x5be3cbda, 0x4779144e,
+    0x5c1500bb, 0x359485a5, 0x0ac5e4d0, 0xe8e4bd9e, 0xb3eef31f, 0x84ba36f0, 0xec863ac1, 0x6d032454,
+    0x16afe28b, 0x795bb2bf, 0x46b9145e, 0x314ea458, 0x6f2445f6, 0x86ba37e5, 0xc354ece7, 0x5b7fa206,
+    0xd74bbd2f, 0x6116c90a, 0x4492426e, 0xf744d06d, 0x7bcffd43, 0x23ae8116, 0x42a01acb, 0x131db467,
+    0xc397ef74, 0xe04abb91, 0xe7bf09e6, 0xfe98c313, 0x64a5e382, 0x4d49578c, 0x8e16a867, 0x907b321c,
+    0xc8353d3b, 0x4bb4be55, 0x4fb0fdd8, 0x4265dde2, 0xcbe7ca34, 0x73616d56, 0xcbd90d34, 0x3e620068,
+    0x16f475dd, 0xac1f0867, 0xb0f39c96, 0x272365d0, 0x5247298c, 0xa3fc8fbb, 0x9e5f7ae3, 0x17e7e5f4,
+    0x8f31cfa5, 0x8cb970b9, 0x92d3b967, 0x786c32be, 0x51398556, 0x076d399b, 0xe65fee01, 0xe7125b3a,
+    0x4ed1032b, 0x206607f7, 0x0f43a694, 0x12bf48fa, 0xbaee57e3, 0x3c914f9a, 0xa63f9ca0, 0xbfd5d0ee,
+    0x9c9b303c, 0xe7c97339, 0xf187946e, 0xc52373b6, 0x2a4549d2, 0x1a9bf745, 0x76f3ce8d, 0xe778d51a,
+    0x6d0c2871, 0x483f9be9, 0xe94c88c2, 0x0c88748b, 0xe5aeb970, 0x42a3ca96, 0xce1108cd, 0xa2060680,
+    0xcfb4ed5f, 0x0e1ffde9, 0x24a0fc1a, 0xad4642fc, 0x0e3c6bed, 0x7681cfcb, 0xaad014b9, 0x40126069,
+    0x0c0bc401, 0x5cdf1916, 0x32baa20d, 0xf77359c3, 0x3c61962a, 0x566342d2, 0xc0be93d9, 0xe88a6464,
+    0xee5f0e07, 0x73719eeb, 0xc3956a8c, 0x0c196198, 0xf0244d32, 0xf55e5bf1, 0x138bf3b0, 0x6b8e3357,
+    0xa78529b4, 0x5fa3fe0f, 0x6133ab3a, 0xfbc6047e, 0xea11d370, 0x965595cb, 0xeeac76c1, 0xebad4bc6,
+    0x097f9955, 0xad3e4393, 0x7b3faee9, 0x63395a9a, 0x2e515eae, 0x0b72fb35, 0x1b01a8d5, 0x85bd7595,
+    0xdbd2e997, 0xaa993bca, 0x5fd4de29, 0xffae5c35, 0xfed8dce4, 0xa62544c6, 0x76101712, 0xad82e675,
+    0x852adab3, 0xde66a776, 0x3ffe0f2b, 0xb3d2720c, 0xc4c95516, 0x7a2c90e4, 0xe024eb9f, 0x5b29cf0a,
+    0x64295e78, 0x383e9bef, 0x55d74009, 0x84a2afff, 0x75f6b170, 0x84247786, 0x4e655438, 0xcdefb059,
+    0xe052baf1, 0xad244535, 0x5af32ecb, 0xdf5036c3, 0xfd982c3a, 0x581fa0f4, 0xe9549196, 0x06be89e2,
+    0x7b48fd10, 0x84902f73, 0xc1b17519, 0x45d9ce9c, 0xfa69e939, 0x3d21218f, 0xd2eaa425, 0x213b40f7,
+    0x507d9dc1, 0xc7fe9978, 0x906d9651, 0x3c28ea1c, 0x5d1e1d17, 0x3859cd0e, 0x0369dc48, 0x75d09569,
+    0x446b7360, 0xa87e4a7c, 0xad04a299, 0x27d2fd13, 0x9f942b9e, 0x653c78f2, 0xc8177c05, 0x0b5229b8,
+    0x06c41781, 0x95a4bccf, 0x2a22309d, 0x98034839, 0x128f8784, 0xcb58e4e9, 0x5c0ddc2b, 0xc0a94071,
+    0x60dd5692, 0x620a98fe, 0xb9fd5cef, 0x738fef83, 0xb12d7f39, 0x2a20589e, 0x13c9f6f4, 0x00198837,
+    0xf9714d9f, 0xfce3d18a, 0x4024ec8b, 0xb5b38d32, 0xf3616741, 0xfb4c44b2, 0xe1824b25, 0x6e141e9b,
+    0x2a71d95f, 0x278747bb, 0x35500599, 0x79bb0410, 0x0f38e8c0, 0xbff624f0, 0x870967a2, 0x8cd435cb,
+    0x7d29e59c, 0xbc74d259, 0xdd19446d, 0x4f18d834, 0x3f8b1480, 0xf6d51b65, 0x72cc3924, 0x55999f62,
+    0x84f289a9, 0x435fb91e, 0xad5caaef, 0x3a8c6a21, 0x1834bd47, 0x8966b39c, 0x55a50941, 0x98ef0ed8,
+    0xd2a96d44, 0xa9ec06db, 0xe601835a, 0xbc73eab1, 0x9486bf3b, 0x773c547e, 0x3fb0092c, 0xf5e07fff,
+    0x13a4d950, 0xed0d060a, 0x3873e428, 0x43b9bd95, 0x3f9ab972, 0xd520c37e, 0x85f1c51d, 0x8a03ba1f,
+    0xb63e52bf, 0x2548ad47, 0x01a5b707, 0x1e23d312, 0x8f52f463, 0xaf2fe3a8, 0xca55d304, 0xd278fc01,
+    0xd95fd3e7, 0xf820473e, 0x4d322649, 0xfa0f1d8f, 0x33b29e12, 0xfdb74652, 0x41f48855, 0x7fd1d2bd,
+    0xd8cc26a6, 0x2884ef7b, 0xd8718baa, 0x9c8828b8, 0x7b479168, 0x174ccfb0, 0xe8883689, 0x8b23d8f0,
+    0xb6608243, 0x4a524b42, 0xbfbc8094, 0x37af98da, 0xb12f3b0a, 0x4c142620, 0xa018ee5b, 0x5b7beba0,
+    0x02407a17, 0x608f8020, 0x92e84a1c, 0x143c8614, 0x8bbf5a4e, 0x1dffc769, 0x64ec4823, 0x3d8ec034,
+    0xc33ccf52, 0x17c60ce7, 0xc01052e8, 0xb677189e, 0xcd708caf, 0xab6e5b97, 0x404a0081, 0x979de5cf,
+    0x90ee8492, 0x925c44ad, 0x5a3b3c55, 0x0b0eba49, 0x373a9cf2, 0x82fdd52e, 0x4c9a81ac, 0xc8edc9a6,
+    0xea5c0483, 0xf142defb, 0x702a58a2, 0x56d96a18, 0xea6dc9c9, 0x52a96f71, 0x83bd2ef0, 0xf5aa6a91,
+    0x10d828e9, 0x55910d26, 0x0cbfaf00, 0xc2f3b14b, 0x66049feb, 0x8044d14f, 0x84eadc51, 0x4f6c7179,
+    0x6dc2bc1e, 0x604a57f2, 0xcaf9fa04, 0x8e787d74, 0xae78adf4, 0x1ee9bcf4, 0x9b26b92d, 0x81ecef5f,
+    0x9b929584, 0x9cd194b7, 0xadefe261, 0x9ea3f2fb, 0xb2153c49, 0x82a5eea6, 0xf7a2701d, 0xcbc11ab1,
+    0xf6022357, 0xfc675761, 0x4013d1c2, 0x5719cff7, 0xc37d2d0f, 0xa3bc5f66, 0x785f6fb1, 0x5a382292,
+    0x77b5f841, 0x26f56211, 0xfe9a1ed7, 0x15fb5bd2, 0xadf9b824, 0xf545a733, 0xb70d087c, 0x5e1eb129,
+    0xb66c44cd, 0x2b2e4f97, 0x70c0a6ea, 0x35935d3c, 0xc359c981, 0xa0afca21, 0x5e109497, 0x3f9471c9,
+    0x9a79564e, 0x3d79f2cc, 0xf06a1a38, 0x9fa61efa, 0x93db1bc5, 0xb8dfd8d5, 0xe30616fd, 0x3e98323f,
+    0xc72c5052, 0x7cdfb599, 0x256980e7, 0x7341585f, 0xa3aeb377, 0xc211984d, 0x60ddc5c4, 0x2670df19,
+    0xd219cbb4, 0x41db23a9, 0x2085a723, 0xf3b1b338, 0x800ebdb3, 0xaa891535, 0x3ac9182a, 0x004f51e9,
+    0xdd036142, 0xcdb50fc9, 0x2abf0419, 0x964f1be9, 0xdc1df567, 0xe9d67539, 0x4cfb40f6, 0xf193c105,
+    0x272a96b4, 0xb8cce857, 0xd0cafa25, 0x461196bc, 0xc29408ae, 0x0a958c1e, 0x337f80a8, 0x142565f5,
+    0xc1def0af, 0xdcdf4bbd, 0x49d5f7d2, 0xb6dbc309, 0x973ad686, 0xa4764785, 0x4001e92d, 0x72f3f94d,
+    0x2baeb431, 0x47a55887, 0x0ac50231, 0x74b950c7, 0x699f6c6b, 0xe7e6cc78, 0x0fbffd2b, 0xb2020ceb,
+    0x82ee46ee, 0xf7e53700, 0x1e438c52, 0x125b8c94, 0x5b3ff89f, 0x16774b4b, 0xd2765eb7, 0x04629f84,
+    0xc7ac8daa, 0x00517947, 0x05689f79, 0xe84b32c6, 0x17522472, 0x5cf38e4f, 0x57fa1e99, 0x04b2172b,
+    0x1bcdabe9, 0xe617fccd, 0x94706984, 0x0c08485d, 0x952ec0c1, 0x02f25ed9, 0x7803f3e7, 0x21996c72,
+    0xa8cacc77, 0x43f00b5e, 0x513f923d, 0xdb8157ef, 0xa94e84dd, 0x5074f690, 0x96b8c623, 0xa4a51485,
+    0xaf045a72, 0xb658d2dd, 0x9d70bd9c, 0x40b2e2e9, 0x6b33ad34, 0xa577e013, 0x7ae98b5e, 0x86872738,
+    0x5335f292, 0x08f68e22, 0x061672a1, 0x27949216, 0x25ed7541, 0x7e7f82a6, 0x47e18d4e, 0xcfba02bb,
+    0x103adabb, 0x2f0537de, 0xb6f8ab0f, 0x375294e1, 0x33774341, 0x101fc578, 0x854b12e8, 0x3743a504,
+    0x43bb9c0a, 0x7bcfd7b3, 0xf6eac863, 0xc65ebf1a, 0x456d00bd, 0xb13447c4, 0xd2b21c58, 0xbed1c6e0,
+    0x95f8fdad, 0x78f6f13a, 0xad8c1256, 0x88d59b63, 0x2a18de33, 0xe16b1775, 0xd1b76001, 0x7986cc43,
+    0x8175b811, 0x63514a34, 0xe5166e13, 0xcb34547d, 0xb15ea2b3, 0x7e57b5e2, 0xea2f5684, 0x5c5e0c96,
+    0x7a1c7f0e, 0x1803aaf1, 0xa056751b, 0x63b6b45c, 0x2cbf85de, 0xcafaa7f2, 0xf2cf950c, 0xbf148cae,
+    0x3b563bab, 0x49f66c39, 0xc3c8aa84, 0x0f60c754, 0x63a407e6, 0x1040d204, 0xd2a82e3c, 0xdff00970,
+    0x8d35a37f, 0xe6c647e9, 0x2399ccf9, 0xd53a3121, 0xd9cddcc8, 0xd9181de9, 0x5fe30148, 0x09c34845,
+    0x448b301b, 0xcb7e00f1, 0x82eb254c, 0x33521c87, 0x3c7199a0, 0x99294fad, 0xb8c04041, 0x258a22ec,
+    0xc46d595d, 0x8e024553, 0xe17e195a, 0xf97a224c, 0xac55148f, 0x05456da5, 0x4ae18ab8, 0x21517e3a,
+    0xedbb7ff9, 0x4eb79bc3, 0x16726c18, 0x73932828, 0xa261e362, 0x3465d070, 0xa41f7b33, 0x897f3e13,
+    0x379aff2d, 0xb692a915, 0xf6024904, 0x9b575656, 0xa45c06d2, 0x8fde98fd, 0x362ec3e6, 0x95d050a7,
+    0x7f04086a, 0x12c667ee, 0x038b59f7, 0x236b89f1, 0x567879ab, 0x92c8c191, 0xaab8670e, 0x0f13aba6,
+    0x48d57a43, 0x8c91cac3, 0xb16fad45, 0x78ec5d0b, 0xbc31d0a7, 0x63398c06, 0xfe9f613d, 0x10e0cff4,
+    0x1f6f4a08, 0x74c9ad8e, 0x615bc1a7, 0x2a5a5eae, 0x7449552b, 0x677e73b2, 0x5b718067, 0x5f33dd2a,
+    0xfbf82d74, 0xda0891a6, 0x5e3c70e1, 0x09071ad5, 0xce2dfa71, 0x799c8fa5, 0xa7097721, 0x6f52bb06,
+    0x021a58f9, 0xb0a6f86c, 0xac93317a, 0x7f6af072, 0xe48b397f, 0xbc924802, 0x3d32fe88, 0x173d914f,
+    0xc7d02639, 0xe34fbac6, 0xe1a513f4, 0x4d08267e, 0x51685a29, 0xd50b8485, 0x22bbb01a, 0x4af74647,
+    0x566e7cba, 0x21b56d28, 0xc67a118c, 0x9320c3a6, 0xfe9d4e4d, 0x17ad050e, 0x4c50b1e3, 0xaa74f7f5,
+    0xcd0f4b62, 0xaa42a22e, 0x1c36fbc5, 0x7d52c00a, 0x2c20af0d, 0xdf0089b2, 0xa1b831ee, 0xcfbb21f4,
+    0x8923fcf2, 0xc6d290a3, 0x0db9644c, 0xa7379b57, 0x58099de0, 0xb213c545, 0x8f90b511, 0x1fe5ee38,
+    0x2ecafc86, 0x9d97ac61, 0x38a1892d, 0x63f6cd2d, 0xf90fb050, 0x39e747b0, 0xcab5b1f2, 0x7ad7daf0,
+    0x03a6a1fd, 0x44d87d7e, 0x06b8997c, 0xbe311581, 0xa45bc023, 0x5584f9d3, 0x242330e8, 0x113d314e,
+    0x6eedbf1b, 0xae9c37fd, 0xf3d0ee07, 0x53df63f9, 0x87a0be1a, 0x86f3fede, 0x00add403, 0x6bf232cf,
+    0xdf05ca48, 0x0bed1a2b, 0x2767424c, 0x73193591, 0x9038c568, 0x236b8377, 0xb37ef3ee, 0x6b91bae7,
+    0x45cbf508, 0xd2ddd59e, 0x1615ac0d, 0x8d7324f9, 0x6bba5984, 0xdfdd8969, 0x6dc9eb0d, 0x1e79da62,
+    0xa331e8de, 0x5f06acbb, 0xf3c41f53, 0x4e2d56d8, 0x65c747de, 0x9732ff64, 0xab668f03, 0xc4f8366e,
+    0x0915a994, 0x2a735849, 0xd7173bf9, 0xe383d769, 0x7f24bfb0, 0xe7dba56e, 0xe6fb66fa, 0xa8f4c8a3,
+    0xab8bddf2, 0xe08f7e63, 0x611a1c05, 0x98a4b3b3, 0x148c8578, 0x85dd75fe, 0xfd3dff1d, 0x07be0ba6,
+    0x8122d93c, 0x9edf42ad, 0xd0768832, 0xaba37e4a, 0x5d418eee, 0x079ec07a, 0x289b032b, 0x63a137fb,
+    0x5ba8c4ef, 0xc26668b3, 0xe831079d, 0x05a9d09c, 0xa5d03d94, 0x88a00130, 0x6c3f6fd3, 0x4e267d6e,
+    0x1f9a3674, 0xd16154a9, 0x19a3b57e, 0xb94a87d3, 0x2fa7284d, 0x6342b6a3, 0x7d0244cc, 0x635ba0e7,
+    0x3cb65b56, 0x851d67b5, 0x682943c0, 0x1aac413e, 0x597ca52d, 0x43ca485f, 0x6cc8af37, 0x7f7659a9,
+    0x13a4fca9, 0xfe19e5ea, 0x84e4e64b, 0xf3c67dc7, 0x0228e081, 0x6b515e32, 0x37420339, 0xcdff0baf,
+    0xacaa2b12, 0xb2025dfe, 0x7f78e4cc, 0x6ffe83a8, 0xc0aa7ad8, 0x8181c966, 0x4e820954, 0x0e0d648c,
+    0xaf598ca7, 0x01e98d74, 0x49da0231, 0x940ebbcb, 0x029b4eed, 0xd49a02b8, 0x632d984d, 0x176ccdd5,
+    0x49c0a978, 0xcbe82682, 0x31bc1759, 0x8fcad18b, 0x0bb77c88, 0x28e78e9b, 0xf04193b9, 0xa3366067,
+    0xacfe8b84, 0xc5126798, 0x209e6d41, 0x6b16cd6b, 0xd8b0ef32, 0x4c78ed9d, 0x785f67c7, 0xab2b8a5c,
+    0x00000000,
+    0x236ff533, 0xe853d794, 0x82a938a5, 0xc18b83b6, 0xe042c455, 0xf4c5f335, 0xa6fefa30, 0xa562dc92,
+    0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000055453393882416297191568283682861674068728741507516331\
+                          50340959161229242615611251246079948812208279156194782421922807143657948315648 */
+  { 0x00000000,
+    0x95531a38, 0x21adb067, 0x8f4792b3, 0x93bfd478, 0x7f7bf099, 0x8f2b8c41, 0x1dc18bc0, 0x946e1b24,
+    0x7c8b443b, 0x89915cc2, 0xf1b4a54b, 0xd8a992ba, 0xd7ea6343, 0x96efe827, 0x6cf7147f, 0x7509df74,
+    0xd1d14019, 0x842fff80, 0x9acac2f1, 0xad1054da, 0x82723c02, 0x0f54fd1f, 0xc3238af9, 0x09bd3727,
+    0x3b47002f, 0x084c92b2, 0xc4ff3547, 0x14d72d31, 0x9c9c9c75, 0x068065b9, 0x522eb337, 0x91d2948c,
+    0x8185ba9a, 0x5621ae6c, 0x3a0cdda4, 0x7de98769, 0xac093f00, 0x5ae70710, 0x87525453, 0x2d9cf843,
+    0xb252aea9, 0xb2276242, 0x4fa5a468, 0x6b121553, 0xd1dae2a5, 0x02aac584, 0x5e5b5618, 0x4de9288b,
+    0x73b84a9e, 0x2fb4def7, 0x0405c339, 0xc0e735cb, 0xe4e773e8, 0xc4707641, 0x5f56802d, 0x5f49c9c3,
+    0x7bbc5bf3, 0x789f015b, 0x229bb171, 0xfdf31a9f, 0xa4521457, 0xfaffd82a, 0xafad3082, 0x68a82233,
+    0xa92e83b2, 0x70d9c566, 0xbdaa0591, 0x3769b37d, 0x3ea637d7, 0x6486b648, 0x8fccc562, 0x1bbbd470,
+    0xe3f69d75, 0x642636e3, 0xbd9f7bf7, 0xdd466787, 0x6ddbdf15, 0x483eaf61, 0x2f23f77d, 0x1e6039b6,
+    0xadcdb9a5, 0x8de8fb14, 0xcdc0355f, 0x564b7cf6, 0x50bc7d04, 0x232fd459, 0x098e8722, 0x2332acbe,
+    0x874a9f0a, 0xb2d07a80, 0xcd8e24a4, 0x21c2ea52, 0xfc94b7c1, 0xeb0c50f2, 0x055e8d11, 0xea2ad23c,
+    0x2abbfe37, 0x0a10f24a, 0xd94e6249, 0x8e59eb26, 0x7e3c7d1e, 0xc2e6c61f, 0x3f231e7c, 0x9002214d,
+    0xe08a24eb, 0xf2dac8a4, 0xb786ef67, 0x333b9111, 0xa7711472, 0x3e3dc9cf, 0xf12bfa12, 0xc1589491,
+    0x50850604, 0x422d699b, 0xeaa7e85d, 0x52b85e5c, 0xded7d0a4, 0x97c2610e, 0x7144c98e, 0x2e823040,
+    0x1d94ab41, 0x9823e065, 0x7df8cb97, 0x597a05ca, 0xde5a88f1, 0x81897c02, 0xb55705aa, 0xd46fb189,
+    0xd3de30de, 0xd1cf34a1, 0x13181bef, 0x6d3b5dc6, 0x91044a29, 0x1537b7b9, 0x605a8bf0, 0x29774e02,
+    0xe856966c, 0xe5efaa1f, 0x8eddb1e8, 0x2580550d, 0x84897fa6, 0x672d8beb, 0x7d2371cd, 0x95d8e7cb,
+    0xe1a78d2d, 0x63d5e3ce, 0x0c229998, 0xb6475d22, 0x0a1d6205, 0xfd54996a, 0x7ca6a66d, 0x3521c8a7,
+    0xd37c6452, 0x1021b3fe, 0x13497b44, 0xd9a597f2, 0x3ba9847a, 0x233c42f3, 0xdb14d21e, 0xd7527bf1,
+    0x8b144ae8, 0x23068fcc, 0x3d44732e, 0xf3178557, 0x31fbad70, 0xd5393773, 0x542b4218, 0x82fb4e78,
+    0xd3c72e55, 0xfeffbc9e, 0xbcbd61e3, 0x5e823d5f, 0xa6f795a9, 0x4ccc4834, 0x2d78a721, 0x9a1971fa,
+    0x005a58ed, 0x3957d760, 0x6db4863b, 0xca06edf9, 0xbe775a38, 0xb7b08e73, 0x20ad0063, 0xd2e8b7ac,
+    0x933ed590, 0xb760ee50, 0x202a0064, 0x2beea319, 0x67a28ebd, 0x94aa1ef0, 0xefc314a9, 0x0b92a7ac,
+    0x701f1491, 0x794a8f34, 0xcea679dd, 0x0e1ab3cd, 0x5fe38897, 0xd8047774, 0x3fc7c1f4, 0x342dea6f,
+    0x3fa2302e, 0xcb2d0388, 0xc5e367de, 0xaace4529, 0x582efd28, 0x90bc97da, 0xdd7f60a7, 0x7861339d,
+    0x66d47f29, 0x81a95b4e, 0x53ce2d04, 0x5b441363, 0x94a20c78, 0xee626d53, 0x485a93dc, 0x7e63011d,
+    0xc8ca1d28, 0x770df709, 0x5ad7934d, 0xa63217d9, 0x43138661, 0xd1b8ea33, 0xb5f67220, 0x41b8c720,
+    0x8b029119, 0xe6c94bf4, 0x54ddd499, 0xb8e5c10e, 0x8efae84b, 0x7e96a0c9, 0x54a35149, 0xa4e4c87d,
+    0xc6dd5210, 0x4db0252b, 0x1b790be2, 0x3c1fd64b, 0x9e5e25bb, 0x93c0d70f, 0xc0dc820b, 0x161de723,
+    0x7c106a0d, 0xb3729392, 0x5e6d7604, 0xd11cf8cc, 0x8e9e9551, 0x79560fe6, 0xb9e5c72c, 0x99e7d48a,
+    0x69e2396a, 0x3e874431, 0x8e16828d, 0x6fb67d1a, 0xfcaacedc, 0x1f91bcb0, 0x5b6fb5f2, 0x1232a52b,
+    0xc9957a26, 0xc66e195d, 0x006d689a, 0xa1e01639, 0xe9750b3b, 0xf10b76e1, 0x0e296166, 0xff261c58,
+    0x6ab9abfb, 0x8f9400c7, 0xd9391924, 0x15360582, 0x454c7934, 0x9fb93b57, 0x784c937b, 0x674666d1,
+    0x79a2b6ab, 0xed6f7767, 0xdc7e569a, 0x289d702a, 0x23f4d13e, 0x917c3cb5, 0x3c0f0218, 0x1338ef84,
+    0xc6884a32, 0x7a0b1f2e, 0x060dd942, 0x7701314d, 0x7c22c91c, 0xe02b4fea, 0xae1d109e, 0x0252dff2,
+    0x5f6dc7be, 0xfc6e266c, 0x586b57be, 0xe98c7981, 0xac1778d5, 0x6613b492, 0xdefffb23, 0xe68fca40,
+    0x436b7533, 0x1643dae8, 0xff80d3f8, 0x662ab54c, 0x782b752d, 0x9296bf0f, 0x9e05e6b0, 0xcb96c509,
+    0xb13f6de3, 0x158cbc76, 0x586364e5, 0x27b38a11, 0x903ce0f1, 0x01d75c70, 0xd5f99ede, 0x278f04bd,
+    0xb4f7cdc2, 0xa0327211, 0xc9a86c3f, 0x1a236926, 0x41fc89a9, 0x5ebc4eb6, 0x88a792d3, 0x66fbaf47,
+    0x41dd4394, 0xf0cb7551, 0x54974d8f, 0x9ffeddf1, 0x9206f4c2, 0xee3f480c, 0x851a43d9, 0xa36ff2c4,
+    0x9f2f5fab, 0x0282781b, 0x7c08d6a1, 0x6658fe0a, 0x04666152, 0xf0fe7b68, 0x5268a44c, 0x71d6cd98,
+    0xd4bea649, 0xe64d73f9, 0xfe014edf, 0xd7c57c91, 0xe3c0e2ed, 0xd305f4de, 0x9045310b, 0x10368f66,
+    0xff0a7565, 0x545ada6d, 0xda84ec98, 0x8fc6b2f3, 0x6a77ea47, 0xff4e22da, 0x40a10d95, 0xc75bf7a4,
+    0x1a2d0ed5, 0xe360b41b, 0x0c0e15e7, 0xed189b5f, 0xf2d0e2ff, 0x8294464e, 0xe5dd2326, 0x31cf4eaa,
+    0x9312114d, 0x7e24acb4, 0x16b63c22, 0xf5995bb7, 0x84a7302a, 0x80618cf7, 0xa1cc4fdb, 0x1a80c99b,
+    0x4acfcc00, 0xb651db08, 0x29201168, 0xd8fb16af, 0x352d7152, 0xa9c762bf, 0xcba1858c, 0x29572a09,
+    0x0aee3280, 0x35bdf84f, 0x3bc03224, 0xdb2102d0, 0x93018b7d, 0xaa8dc111, 0xb625ac63, 0xf99a471d,
+    0x2d07d4ae, 0x5dd66b95, 0x4dfcd773, 0x335af73a, 0xa5a23a0c, 0x74a6ee69, 0x4525af3f, 0x5c5226cc,
+    0xab7fafcb, 0x6a40f47c, 0x5a2f4117, 0x3644ef58, 0x087ec2fc, 0x9b1d757e, 0x930bbd40, 0x00e975be,
+    0x07922072, 0xe361e09e, 0xba75ca96, 0xbadc3623, 0xfb4333b6, 0x496df61c, 0x03e9382c, 0x7038ebaf,
+    0x164fd0f0, 0xb5641835, 0x1e16ea7e, 0x960ebf86, 0x715370ff, 0xc59cdd7c, 0x3687735a, 0x7e8a7480,
+    0xc6978e9b, 0x78e91e37, 0x30043a3c, 0xb2388008, 0x56cd5694, 0x1403403b, 0xa1158c2c, 0x38a00357,
+    0x97e1beab, 0xda8a7025, 0xc142956b, 0x5d5c39c0, 0x9216534f, 0xe670d052, 0x6b81994e, 0x0c385cb4,
+    0x09fba7d3, 0xac022030, 0x947a2a6e, 0x5ff1a609, 0x8e4116f1, 0x5f77b3db, 0x981caaa3, 0xa5312bcf,
+    0xc5ef806e, 0xd7456766, 0xc527db5c, 0xc7ac54bb, 0xe9605d1c, 0xb773c4ac, 0x3e239d2d, 0xa749a9c8,
+    0xbfee7984, 0x5d96b4e2, 0xca296add, 0xe33325c0, 0x81eda3ae, 0x569759a3, 0x0a01460e, 0x35c8c4b8,
+    0xf7a87d0d, 0x74a4e2b2, 0x239c8859, 0x0d7cf960, 0x3751befa, 0x03e692fa, 0x412f7589, 0x0dd48aa2,
+    0x4594aec2, 0x0bb64c6e, 0x097642c0, 0x5f583a08, 0x168a5061, 0x28e6a3e1, 0x17bc1a08, 0x1726d57f,
+    0x324682f4, 0x537171cf, 0x0cb95d49, 0xac80ea06, 0x337e164f, 0x65aca5de, 0x45f1375a, 0xa6295408,
+    0xfaf66262, 0x02e65ab5, 0x58f3da64, 0x571076ec, 0x9365fba6, 0x343921b0, 0x40e24c01, 0x43c22cc7,
+    0x41c3071a, 0x519de8ad, 0x6b939128, 0xf766a370, 0x8c8f8636, 0x516f23f5, 0x62a4f381, 0x11ad9fe1,
+    0xb71450cb, 0xba7377bd, 0x72422821, 0x65be2a03, 0x04811522, 0x47146e10, 0xe2855ca0, 0x81df2c10,
+    0xd81137c9, 0xe3d97a6c, 0x0ae236db, 0xd04bf4af, 0xf8b5d199, 0xa83d464a, 0x4836faf9, 0xe5119e43,
+    0x9255c8c0, 0xa54d2679, 0x705b855d, 0x780798a3, 0xeb4b72ee, 0x5e24bbe8, 0x73bce0b7, 0x75cb329f,
+    0x5a9ede81, 0x5f14167e, 0xbe046f1b, 0x830ed8c6, 0xa0735fc9, 0x2c993657, 0x248a26b5, 0xfc9ae480,
+    0x842b8e93, 0x157d9066, 0xeeac35a1, 0x5936c155, 0x57f95ce6, 0x47ab7c5e, 0xc9d71ca4, 0x624b5206,
+    0xb8d157c6, 0x3caaf992, 0x2928bd9c, 0x2105d75e, 0x96c69018, 0xa9cc61dc, 0x535fe833, 0xb5d20cd5,
+    0x978c63cb, 0xce54b537, 0x2f42373b, 0x2e782768, 0xc83bf4b4, 0xbc57a7f7, 0x72eb40c0, 0xf0305eeb,
+    0xf41d420c, 0xa1d97609, 0x423a3f99, 0x67543b90, 0xeafda3da, 0xebed94ac, 0xdea3b5af, 0x7d589afa,
+    0xb036b313, 0x5b5476fc, 0x2493d368, 0xd5ab296a, 0xeececbf1, 0xfe38c931, 0x590e3bf6, 0x7c6c6866,
+    0xcd4830b9, 0x7f9d8848, 0x702c81ba, 0x8d2583c8, 0xaea85f02, 0xee2660d2, 0xd10772b5, 0x233cf7ec,
+    0x93086005, 0xf6f6d710, 0x8ac2b869, 0xc6e8e405, 0xae49fa76, 0xc335c92e, 0xbdbd04ea, 0x22a4e908,
+    0x349c6618, 0x9f26399e, 0xaf1950b5, 0x201f82ab, 0x48f04ac5, 0x7f944e6f, 0x8fa33cab, 0x4b2905b8,
+    0xa248affb, 0x6f36908c, 0x2ffc1dbf, 0x631d1b57, 0xa60da885, 0x8a5b6b2f, 0x3c7b4e1e, 0x13d7945a,
+    0x994a6e21, 0x0fbc241c, 0x964efc24, 0xdd736ff4, 0x2ae653bf, 0x83c8897c, 0x2d5539f9, 0x28225c6a,
+    0x022c1b1a, 0xed855f47, 0xcd1373f3, 0x8379a2a6, 0xcc0be741, 0x878fa7c5, 0xa1e45083, 0x2c1d8661,
+    0x3e676080, 0xbcfd1d07, 0xeac38c3e, 0x680e3d94, 0x28749f40, 0x98efd146, 0x767e2a1e, 0x37954466,
+    0x06b98b08, 0xcb3328b0, 0xcc2b0b3a, 0xbfcef1e6, 0xb2ddbdd2, 0xfcc284be, 0x5ca2fb07, 0x56a6314c,
+    0x7b4525bd, 0xdfac4683, 0x8ce10029, 0x9f456b8c, 0xf5d92605, 0x32a43d30, 0x71145cc4, 0x01cdbcc0,
+    0x8355db7b, 0xef792ebf, 0x06f6add9, 0x91a7fd46, 0x227c26e9, 0xb01d7f08, 0x04cb9cf1, 0xa6a4d020,
+    0xf8587d68, 0xa182e36e, 0x24167b98, 0xa65e1a0f, 0x2726dd05, 0x89135b43, 0x98f4a0d9, 0x33939106,
+    0x6b3597bf, 0xc3fc288a, 0xfbca5cd2, 0x00cde6e2, 0x77edd423, 0x3c2842e0, 0x08e69ed3, 0x8d64b531,
+    0xd523910a, 0x0e52de23, 0x12d97693, 0xa7db5ef6, 0x6d6f54e5, 0x044e7bde, 0x26cbc950, 0xaa088ef8,
+    0x46a0ad1e, 0x64ac9714, 0x6fe7dd4c, 0x97e1eed4, 0x06db3835, 0x702f5063, 0x9720b5f6, 0xeaba722c,
+    0xd93e5301, 0x9a582cbf, 0xca4a9dbe, 0x2bb36791, 0xe1d6e2d3, 0x1590e6e8, 0xc0fcaeef, 0x61d7850d,
+    0xd771cc7b, 0xeaa43c9a, 0xcc2a5f3d, 0x343a07cc, 0x6fa30dfc, 0x20a0d845, 0xbfea7a9d, 0x8bfefc26,
+    0xbe94b479, 0xd385f140, 0x1bab5282, 0xe7c33eaf, 0xd3448602, 0xce17f4df, 0x2aa3fa0d, 0x8867a707,
+    0xe9f9f1c1, 0xc3540944, 0x7d033549, 0x49d2c2ec, 0xd167a54c, 0xca38d8ef, 0x34686cc6, 0xa921a08b,
+    0x92ac4621, 0xe76548f7, 0xf88adda2, 0x49b10eb1, 0xa20a34af, 0x004c5257, 0xd7e5e077, 0x5f31a049,
+    0x79c2efa8, 0x9abbe387, 0x31274606, 0x76b26339, 0xf7b77f5b, 0xa02afcae, 0x26eb7915, 0x26d4e656,
+    0xd1c44433, 0x5a663bec, 0xfdd0b6c3, 0x8d0dcb82, 0xd1655987, 0x0f636ebd, 0x67d2c6c6, 0x9da800f1,
+    0xefd8c769, 0x17d1322d, 0xfc38cac9, 0x0445afc0, 0x5722a845, 0xec91ee89, 0xb07aa4d7, 0x6554c9c8,
+    0xd5755701, 0xb1ed6bf0, 0x4c15257f, 0x5f198125, 0x6cc790d7, 0xea8e6827, 0x2b7b8544, 0x5b75b2ad,
+    0xfb62081c, 0x5a653a44, 0x9ef7bf15, 0x8ba91f45, 0x789b68c4, 0xfe45370d, 0xbf1af432, 0xe97e669c,
+    0xb2747d18, 0xf2fb05a2, 0xd511f27c, 0x13d61278, 0xe699c733, 0x3c2b8a89, 0x77590cb1, 0xa60b7ab3,
+    0x8004ca80, 0xce6aa411, 0x833b386b, 0x0c6118c1, 0x7ae681fc, 0x69109ac2, 0xee4828b1, 0x0d090711,
+    0x659bbe77, 0xda145de4, 0x0e3403bf, 0xc7262ce5, 0x4babc676, 0x5f3f84a8, 0xd6094274, 0xb7b07084,
+    0x5f6ade68, 0x8d91dfc1, 0x74f59b09, 0xa0f0f951, 0xc0cce591, 0x30b46599, 0x0f96573e, 0x6e15f5bd,
+    0x7c74e6eb, 0x6c65a4c4, 0x9a7299ec, 0xee2d9e02, 0xa22d8c7f, 0x509d64b4, 0x77ae517e, 0x11f742ba,
+    0x3c7da981, 0x68f68f4d, 0xfbd16803, 0x11d8af50, 0xc5fcb83a, 0xf27447c2, 0xba8ab8b2, 0xc1937f85,
+    0x9e93f620, 0x2d9962cb, 0x3df3a796, 0x365a4bc5, 0xf563fa5d, 0x4ddd0b06, 0x3256974e, 0xa90c4450,
+    0x204c5cfe, 0x7262d077, 0x0d4bca58, 0x47e9332d, 0x8ca06937, 0xb43272df, 0xe45ae392, 0x25de6dec,
+    0xc40431a3, 0x2b2f7be1, 0xc796b3c5, 0x5c1c5767, 0xf42e9254, 0x6a4cfc68, 0x9f85098c, 0x070daaa9,
+    0x84db091b, 0x3c0711be, 0x45a49a83, 0x8d8e2cbb, 0x3df07d4c, 0x9d16a264, 0x84b58948, 0x80bcb374,
+    0xcb0d091a, 0x1fce5873, 0x60d87766, 0x4720dcf0, 0xebf28d98, 0x9821ecd7, 0xf47e34c8, 0x4ba86d49,
+    0xad667436, 0x9f7da043, 0xe76eb1ef, 0x1700551c, 0x748aee8e, 0x67e4bcf0, 0x5f83ce9e, 0x75712f30,
+    0xc764f999, 0x3e591939, 0xf71a4d4e, 0x5a8a4143, 0xb39dbe1a, 0x0986ff52, 0x0341f482, 0xceac71b7,
+    0x3c784b8f, 0xfcfd32e1, 0xf686fed3, 0x25604bf8, 0xa2977fa2, 0x1718b534, 0x16144ea0, 0x93ab401e,
+    0x5cc4f919, 0x3dced859, 0x22dd4786, 0xeb686ace, 0xd0a55cf5, 0x7744c444, 0x1c491940, 0xe6853604,
+    0x45b7f970, 0xffcc0ae6, 0x8a4fb362, 0xb6df57c5, 0xa36a7e6a, 0x52412ba1, 0x81d96246, 0x00006975,
+    0xda6e80f5, 0x8630b51c, 0x396a0f92, 0x6451af78, 0x4aa966de, 0xad3fe27e, 0x97f35e27, 0x23bc7edd,
+    0x4b9fb8ac, 0xe132c691, 0xfafbecd8, 0x14183da0, 0x2d29411b, 0xbc0666d3, 0xec917660, 0x86a2b577,
+    0x113c586f, 0xa2cfae58, 0xbd823377, 0x59fbf717, 0x1c5d3ec5, 0x8f7b8783, 0x4e0e1de2, 0x006aa0cf,
+    0x79904288, 0x32dd5a77, 0x7b5aed69, 0x924dbc86, 0xf5a5aeb8, 0xf5f6e36b, 0x69c283e3, 0xa5a10a39,
+    0x91a824ba, 0x2317d026, 0x6e8c251e, 0x398a56cf, 0x03e63322, 0x8cedcb80, 0xff575265, 0x88aba234,
+    0x2a3dffa1, 0x5a4cc37a, 0x9729b855, 0x2e84f228, 0x0274dfbc, 0x3b95a544, 0xf3749501, 0xc408cfec,
+    0x1fefb227, 0x7ef46f68, 0x6546679f, 0xc2c7d0d6, 0x42a20f2a, 0x6a4f10bc, 0x1cfcdfc3, 0x9258114d,
+    0x052cb8f3, 0x2890a9f0, 0xb04e71cd, 0xc64e960c, 0x5b6a654a, 0x337a3de7, 0xfea01f21, 0x06767ab4,
+    0xb85c36a9, 0x5fe4961d, 0xdcbba92f, 0x451ba135, 0x1d7c2068, 0x66d41285, 0x55baa446, 0x01f23867,
+    0x7c544ea4, 0xea3bd448, 0xfca1697e, 0x7b02227d, 0x90c4e905, 0xd68add78, 0x5f267f75, 0x69f5912f,
+    0xd324cdba, 0x5427605e, 0xd81059a5, 0xc1b3b820, 0x3678377c, 0x667ef86a, 0x2b864aeb, 0x069fdc71,
+    0xc41b3daa, 0xdba24451, 0x7857ba7e, 0xcf3be384, 0xe21eb73c, 0x0ee76d87, 0x31e695fa, 0x7df65dd9,
+    0xae7b870b, 0xf13000ee, 0xfe83e0b3, 0xec1d3f37, 0x05f8fe18, 0x36f37d78, 0x18b5f39c, 0xefac1479,
+    0xd35434a6, 0x64dcc324, 0x13f9ea1e, 0x8cf68f84, 0x7f61574e, 0x632c01a7, 0xe2facfd1, 0xc24e213a,
+    0x5b82def2, 0x72ebcdf3, 0x1981a986, 0xc40cd927, 0x10e5419f, 0x5e710347, 0x3c029734, 0x9404fd7a,
+    0x00000000,
+    0x11b7fa99, 0xf429ebca, 0x41549c52, 0xe0c5c1db, 0xf021622a, 0x7a62f99a, 0x537f7d18, 0x52b16e49,
+    0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000027726696941208148595784141841430837034364370753758165\
+                          75170479580614621307805625623039974406104139578097391210961403571828974157824 */
+  { 0x00000000,
+    0x5e68e67c, 0xb6c93d38, 0xc8d68753, 0x3b610e5b, 0xb09010ce, 0x09ee5423, 0x411d63e8, 0x1c3e80f2,
+    0x22b87bbb, 0xb45b3a73, 0xc5b08f14, 0xe6bf08ff, 0xde7e895a, 0x81a88bf9, 0x40c72e12, 0x758a4c1e,
+    0x7534ddb9, 0x04653fea, 0x79d2d193, 0x50051418, 0x29d87909, 0x3c6ab760, 0x915956e9, 0xc38de4e8,
+    0x758abd3f, 0x8bdf559e, 0x80876f86, 0xce4f3f0b, 0xb47340eb, 0x6edf705d, 0x8f91c17e, 0x06e9725e,
+    0xc2354369, 0x4cae0c41, 0x581d739a, 0xcdd784c8, 0x9df0d73e, 0xbf562ed5, 0xad48c731, 0xc0bfeea6,
+    0x3216b3f7, 0xcc0e4c1c, 0x9d9cb523, 0x13f30e2e, 0x14eb0011, 0x355da0f5, 0x92ea9633, 0x296c6d1d,
+    0xf79b4f64, 0x993f7b6d, 0x46ea5d3d, 0x67f8a22d, 0xe2614d58, 0xb65e9bca, 0x79aaa5c5, 0x1eb72e79,
+    0x2af1c2cf, 0x6fa4a490, 0xede819d4, 0xf109540e, 0x42f648e1, 0x90b1f476, 0x3b9ebd09, 0x4e9e9723,
+    0x494da699, 0x73b9d1e7, 0xd43f1969, 0x71c59e79, 0xb7a80bba, 0x4402f34d, 0xa61a7c8e, 0x085b9ffc,
+    0x56a1e662, 0x8681003b, 0x0b03a4ef, 0x1c50573f, 0x8dd4080d, 0x839e3158, 0x99e0db09, 0xa536f0ad,
+    0x2b42a476, 0x43260dd9, 0x354fadf7, 0x0fa2decf, 0xc6a7b837, 0x2100b62a, 0xb547f8be, 0x404cdee9,
+    0xf388b837, 0xc6b340ff, 0x0eccf5f0, 0x51fa92b7, 0xac195482, 0x68f5ecc5, 0xfb4a2ea0, 0xd9fbaf72,
+    0xc5f4247a, 0x98ea2bf9, 0x02df9be8, 0x7b9398a6, 0x89e5d538, 0xf6a9921f, 0xa6bc94ea, 0xb84147fa,
+    0x23ca13bf, 0x2530c332, 0xeb6a31b6, 0x98847871, 0x84801668, 0xcd7349b9, 0x747efa7b, 0xd15b17c5,
+    0x4c0994ff, 0xc050f056, 0x9c7fab9d, 0xf1fe9d4c, 0x19ae7ba4, 0xa46ae911, 0x502d1f41, 0x11b69e2c,
+    0x29bbb5d3, 0xa78bfd23, 0xfa6b5a38, 0x6263088e, 0xb308672f, 0x48b1ba87, 0xc5318122, 0x1a7bfb60,
+    0xcee6c96b, 0xffb17362, 0x19ec5699, 0x11c844e8, 0x3ec10121, 0xa98020d2, 0x6449302d, 0x97f0e6f7,
+    0xca634044, 0x5d9b1709, 0x04da51f0, 0xac92de47, 0x3bf90ca4, 0xf7a70607, 0x63ead8ff, 0x15a0c7d4,
+    0x83333925, 0x06713f61, 0x4ec1fef9, 0x7d141330, 0x0e853b7f, 0x334f67ae, 0xcae64e15, 0xec00909c,
+    0xc41b2629, 0x786534b5, 0x081ba76b, 0x5b2bcf86, 0x6a9d57ba, 0x704bb00f, 0x8a78124d, 0x40d19f55,
+    0x24c8fea3, 0x83b61561, 0x55ac661b, 0x4e0a8419, 0xbcc91fbb, 0x844968e6, 0x31bca1a6, 0x0b310499,
+    0xbf26988b, 0x5f20f755, 0xa1a24386, 0xf00b043f, 0xea59e11d, 0x2a90b82d, 0x937c9904, 0xe1a9d484,
+    0xae983f03, 0x4ed86eef, 0xa808880c, 0x2b55cfff, 0x75227bfb, 0x9c8054a2, 0x12711116, 0x4d2b827a,
+    0x2563dc4e, 0xa14efefa, 0xcef6a15c, 0x01f7960a, 0x90034ccd, 0x0e15ad50, 0x296e3864, 0x8202ca68,
+    0xc8acfbc5, 0x9134c26a, 0xf6c7941a, 0x6aeae0c3, 0x2a4efeb5, 0x0b1b872e, 0x36cd5434, 0x572b4e4a,
+    0x98349765, 0x4467f169, 0xb1d97a3b, 0xe3ef7cc5, 0x20472197, 0x3c86cf28, 0xfcd9af0d, 0xac6a16a4,
+    0x86f77d55, 0x18f63f40, 0x422d5558, 0xfc0ea06c, 0xae9ab780, 0xf158993d, 0xc3a45c9a, 0x6f46be31,
+    0xf3a1a580, 0x8e3818c3, 0x84aa98b4, 0x884c71a9, 0xaf9f8b6f, 0x49198cee, 0x3814442a, 0xe37f25df,
+    0x13c9fae0, 0x3134784d, 0x499ea7dc, 0xb4496a6a, 0xaff0ce1e, 0x9fa23dac, 0x58d82939, 0x5b59135a,
+    0x8a2bc73f, 0x2381a4de, 0x6ff60366, 0xcb0f63c6, 0x10840e1b, 0x6095fb11, 0x8248beae, 0x0a663b43,
+    0x582de193, 0x653af243, 0xb37424b8, 0x8eea639b, 0x6e2635b9, 0x8eb25c63, 0xb6dbd9a8, 0xab155f31,
+    0x2f251454, 0x8deee347, 0x59f31eaf, 0xdc098502, 0x3ea741df, 0x2beefa5f, 0xb971c9bd, 0x877f37c6,
+    0xc7545019, 0xcaf94f54, 0xdfdd83aa, 0x87151d19, 0xa9bdc397, 0xfd86f635, 0x1f7f85b5, 0x79c8ad1a,
+    0x92ffe9bb, 0xf93e3820, 0x2bab1179, 0x3b106c81, 0x3759d156, 0x5cd0211b, 0x8d4b29b4, 0x238868ff,
+    0x156e629f, 0x3a6bb3d4, 0x163543d6, 0x67f201bd, 0xc1c992dd, 0xf10e1cba, 0x05fe9587, 0x35de3bd4,
+    0x5f47f7fa, 0x5c1b312b, 0xf479c6d0, 0xf44a0861, 0x9c7301ee, 0x49df5ffc, 0xd1a6da5f, 0x76a3024e,
+    0x6c0b2046, 0x0e802025, 0x2a421d51, 0x4440e18c, 0xafbd25a7, 0xbcb0d4bd, 0xbd5e7530, 0x1a49d762,
+    0xde1d9783, 0xa86fca66, 0x35a83dac, 0xc6e14637, 0xd6fc4a64, 0x725f52e1, 0x94cd5bf7, 0x27f6cc4a,
+    0x678856ff, 0xa9daef21, 0xa824298e, 0x37c54bdc, 0xc4dc6c0f, 0xc9481d9f, 0x9122dc92, 0x073ff886,
+    0x94e16f3a, 0x3304d8e9, 0x08fb5c81, 0x6c6e7c61, 0xabcf3098, 0xdd63e37c, 0x91964405, 0xa4bf8b0c,
+    0xa821e7c0, 0x7ef461cf, 0x0c0b131d, 0xa021c65c, 0xe88d3ee1, 0x6ff6af55, 0x77c4eae0, 0xec85ad17,
+    0xec3810d6, 0x6daa3c42, 0x02b7fa82, 0x4801847b, 0x7fe867b3, 0xec50260d, 0xaa871e22, 0xaf868bfb,
+    0xd42160fc, 0xada9dbb6, 0xb9859f8d, 0xf3545752, 0x76881f66, 0x020a2d7f, 0x21f571c6, 0xb754e32b,
+    0xe44414f4, 0x6caa1a8a, 0x175b13cc, 0xb0d9db0f, 0xdbf9e4c5, 0x99e53c19, 0xf1856ff5, 0xe6b83e4f,
+    0x80fcc7eb, 0x978be3c3, 0xd949b17c, 0xff7bd899, 0x0510b9ec, 0x9ef96a4f, 0xbb3de320, 0x177ec8d4,
+    0x82f35cc1, 0x953c13e9, 0xc9261f74, 0x83917b58, 0xc5b38afb, 0x7082460a, 0x368f0b31, 0xeea40d89,
+    0xfb525d80, 0xd5762921, 0x97d7f8c1, 0x0a2bd47c, 0x9c2f010f, 0xc4152da6, 0x2e8493c5, 0x19420d15,
+    0x1ac7e16e, 0x3d05b09c, 0x64df8a5e, 0x964e2816, 0x1da4e41a, 0x25928eb7, 0xd9624da9, 0xd283ca26,
+    0x771f3ccb, 0xdf2d2c2a, 0x49b4c482, 0x8eb08b22, 0xf8ec3f4c, 0x3016ebf2, 0xe56ff4a1, 0x5ea9871a,
+    0x5689742c, 0x72bb2516, 0xe682c11d, 0x055a2624, 0x2313554e, 0xac90edc6, 0x170def47, 0xfeec7a6c,
+    0x43cdeac3, 0x1d1775f5, 0x91b850c0, 0xe86cb372, 0x1ae9b82b, 0x62ae35c8, 0x8afdfae8, 0x60302ade,
+    0x176e3f18, 0xb1c2dbf2, 0x87332981, 0xbd569827, 0x8c3f8f53, 0x78c2bc8a, 0x049d6e00, 0x7bc55908,
+    0xd7881470, 0xd4a7853b, 0xc92aadf2, 0xfc981f29, 0xa37f9db5, 0xe2edb842, 0x1f3c4b33, 0x1cadbc97,
+    0xc300831f, 0x4029ad90, 0xe026d712, 0x535660ed, 0xfe27dd7d, 0x761fd9e5, 0xed5d822f, 0x00da0e20,
+    0x5e8aec79, 0xe6172135, 0x82030dd2, 0x3d0ba3c6, 0x90f5067f, 0xab96e4f2, 0x243e751e, 0x1654d508,
+    0x46384c27, 0x1f1813bb, 0x2e5c2879, 0xca83b6fe, 0x9c9cb3ad, 0x5e062416, 0x8bfb3084, 0x7319d7d8,
+    0x3357b25f, 0x20eb2b15, 0xa603fc52, 0x7321ec61, 0xcf77665f, 0x412f0e8c, 0xced8ce8c, 0x07b0c3ab,
+    0xbd3d4fa5, 0x8835586c, 0x7ff47297, 0x6ac30996, 0x4de57ec3, 0x84ce3500, 0x30f20f07, 0x9ce39290,
+    0x88524fba, 0x7b551b5d, 0x2aa98463, 0x0ffb423d, 0xace33709, 0x788a1355, 0xed73e5aa, 0x3fa477b8,
+    0xbc567675, 0x45125c2f, 0x4d106d8b, 0xaeee6a68, 0xc53478fa, 0x9d2bcb19, 0x589c48a5, 0x22e2a5ff,
+    0xa9b5f5be, 0x12bed07e, 0x6e31ff08, 0xe3c170f0, 0xade79815, 0xc0a2a7d6, 0x1b81516d, 0xb61e4c19,
+    0x549d3703, 0x92d1671f, 0xb094d3ea, 0x0d21049f, 0xdd590a4b, 0xf8b5d626, 0x5d10573c, 0xffc8cb9d,
+    0x9059c4cb, 0xde4425b6, 0x81d7b636, 0xb52ea486, 0x6f280290, 0x172bc0c7, 0x4e453f8d, 0x485335e3,
+    0xaaa534da, 0xf074a0c3, 0x8afd7671, 0x7c2043bc, 0x42e9db9d, 0x71606de9, 0x8212db71, 0x0ffe18d1,
+    0x6ca03470, 0xc6ba14b4, 0x71ae9e43, 0x4244f698, 0x24f6f19a, 0x02aed3f5, 0xad56b276, 0xc7e8c7af,
+    0x1d5104c1, 0x6a1b4a1c, 0xcd3020c7, 0xb9d52f24, 0x680b8300, 0x498f9fe0, 0x049caf89, 0xdbe7dbde,
+    0x43681722, 0x79bc7739, 0x8b2a76e4, 0xc4282416, 0xfea1b41d, 0x7e441c66, 0x21dc415a, 0x8afd0119,
+    0x60deda75, 0xc4a2daef, 0xcba75865, 0x2e2c8bfd, 0x0fb149d6, 0xa0b55ab8, 0x050dd49a, 0x9e01e173,
+    0xfa345d63, 0x54d8e75c, 0xa836c0bf, 0xdd0fe884, 0xa7519573, 0xc53bc072, 0x894e9d0c, 0xfecfd938,
+    0xdecd711c, 0x33d3d3f9, 0x51914202, 0xf26fb33c, 0x367f5d94, 0x872897a5, 0x0738e37c, 0x0ab9d8d2,
+    0xc00e6ba3, 0xa8d5d7a2, 0x2ac114fa, 0x58c2093b, 0xa5d96ae6, 0x5e179701, 0x79293aa3, 0x1ee6bd79,
+    0x4768b507, 0xd1e041c5, 0xa377d79f, 0xca4b2cb1, 0x952c14c9, 0xc19fcc69, 0x54a8862e, 0xc8ea3ffc,
+    0x0cde5566, 0x24969058, 0x94aa2897, 0xa80353e2, 0x7c189f1e, 0x449c0114, 0xc1fc6a82, 0xc37f9b22,
+    0xa4734a76, 0xb288f635, 0xe8fd6db8, 0x137bec83, 0x6c25f092, 0xeac57d1b, 0xca3d10db, 0x65c1086d,
+    0x6c529de1, 0x6614b817, 0xb389cb03, 0x9f1882a6, 0x20e6b4be, 0x40aa1337, 0x5ec4bc1d, 0x8c4924c2,
+    0x6afd74ed, 0x097dea8e, 0x2195851f, 0x4dc1d04d, 0xb8eacc7c, 0x382e87bc, 0x66e75910, 0xee302232,
+    0x774aa400, 0x8ffc4e87, 0x78d3c44e, 0xeb3ad96a, 0x25b67d6f, 0x2d687ff3, 0x04b7ea64, 0x88733a35,
+    0x64c9fd77, 0x12eb0965, 0x45c622cf, 0xc587f240, 0xbc3ce8e3, 0x7ec7b8f1, 0x95bddf33, 0x5afc1fbe,
+    0x93d8d94f, 0x216445e4, 0x3155bfe1, 0x4a23ef2e, 0x5326013c, 0xa958821b, 0xf0c27d0a, 0xe14daa75,
+    0x8b586bb5, 0x726894f2, 0x46b6c117, 0x0306f3b3, 0x3bbd1a01, 0xe6b75954, 0x583d8efe, 0x9b031330,
+    0xb9879e02, 0xd4e76308, 0xd1bc908c, 0xc1b1b679, 0x7e45f855, 0x5c0abda3, 0x37d0c449, 0xdcd9fae5,
+    0xa87e3600, 0x9e6fb899, 0x2a3ae564, 0x0cdbd78e, 0x522251d4, 0x4d2b309f, 0xe97114bf, 0x4117109a,
+    0xf40d1767, 0x81a2c7fb, 0xd8bab2a0, 0x6af25113, 0xdc0d833f, 0x290d5b8e, 0x33a9df03, 0x730142bc,
+    0xefbea345, 0xadeb0296, 0xd05b4129, 0x0e8fff42, 0xfdc7679f, 0xd7ca19c8, 0xc014ca4a, 0x6374ffa0,
+    0x3eded3c9, 0xc9a6d698, 0xba3d05a1, 0xb2093bcb, 0x1bbb0305, 0x5e7adb31, 0x94db719c, 0x856d8cba,
+    0x434ccfc5, 0x7004398b, 0x44212e78, 0x241407b3, 0x771cdefe, 0x8178715a, 0xc5a46578, 0x5fd5406b,
+    0xe45fe6ca, 0xfe22d669, 0xf7d08e1e, 0x7d9fceb0, 0x52f9a43a, 0x50a1f1db, 0x71281cd6, 0x29e9b2e4,
+    0x8bb1e5ca, 0x73893125, 0x3ae6ff04, 0x7c71e26b, 0x4916527d, 0x730c256e, 0xa566a923, 0x478b113d,
+    0xc09ea92b, 0x48517f4c, 0x3193932c, 0xa38d4a7f, 0xe32bb6cd, 0xd9eaa804, 0x3cedd826, 0x89f371cc,
+    0xfdd3dc28, 0xa5d77f64, 0x119e506c, 0xbad6512f, 0x80be84c7, 0x6b4230b5, 0x42a624d9, 0x31190f8c,
+    0xfacc17f9, 0xa7d360d5, 0x91acb64b, 0x741fa976, 0xf050ebc6, 0xf1a513d4, 0x29f9fde2, 0x2dd68e76,
+    0x5e343082, 0x90f0e46f, 0x1b8aa774, 0xbaddc857, 0x3177b9fe, 0xfba111e4, 0x09374579, 0x0278b2ce,
+    0x3603a553, 0x4633da53, 0xc20f8f73, 0x7a327e38, 0x717d4454, 0x7a22f480, 0x003d1f95, 0xd1162baa,
+    0x7755bb6c, 0x9106a6d5, 0x55f9b26d, 0x7168900b, 0x0d40e415, 0xda2fd2fe, 0x72bf8f19, 0x9341c735,
+    0xbd675571, 0x230d9978, 0xe1b55931, 0xbff3492c, 0xf71d34f6, 0x276151e5, 0xaeba0a23, 0xd6d518ea,
+    0x1fb769ad, 0xb69ef890, 0x9d9f3f9a, 0x71d7af68, 0xa1b5efc0, 0xa323f190, 0xb6d635a0, 0x5818aecc,
+    0x940c9ea5, 0xd75144bb, 0xa6d965b0, 0x0b9bcfd8, 0xc833c2cb, 0x2a08d1e9, 0x3f63af9c, 0x42398cfe,
+    0x415ee031, 0x9fb22afa, 0xf1605705, 0xb5e52948, 0x39ead9b8, 0x7464aa97, 0xf274ec74, 0xa8d12aa6,
+    0x8a6026b5, 0xbf719d6a, 0x984743d5, 0x9e6e457b, 0xc346a6bc, 0x42241469, 0x7e09d441, 0xbfed05d7,
+    0x09885cf6, 0x09f8ecee, 0x846b2293, 0x18575108, 0xdb4db04b, 0xa20f6e91, 0xf25e0489, 0xc107ccf2,
+    0x2dce95d5, 0x793aeba3, 0x18f5b34a, 0x414d5b90, 0xf2fe9eca, 0xe7efc7e6, 0x3b8223b7, 0x5b44c3b6,
+    0x83acb4b4, 0xab0dd04e, 0xa6e39462, 0x1d4c83f1, 0xba0143f0, 0x56bf8d01, 0x7fea0b97, 0x1b2d98fc,
+    0x689d2b3e, 0x779d2956, 0x4e1c2151, 0xb216279b, 0x693d4115, 0xcc2a5b6e, 0xb82cd378, 0x18427130,
+    0x952ec737, 0xdc17c3c8, 0x03104901, 0x0beb63ba, 0x0008eba7, 0x3a9d0d58, 0x71ad704f, 0x074ffabc,
+    0xceb583ff, 0x935b82f8, 0xd278a8b7, 0x1a4953d6, 0xca404f4e, 0x55556e43, 0x8163c4b6, 0xf7b3e764,
+    0x6a4d860d, 0x69a84ba2, 0x97d86302, 0xb0f6d2ba, 0xd1e66537, 0x2cf3a0c2, 0xc80661d6, 0x624eda09,
+    0x9257bb56, 0xa2b9d04a, 0xbe82fd24, 0xdd6b1cea, 0x2150890a, 0x6d0a1be5, 0x9af69e2f, 0x986e1d07,
+    0xe7e54bd5, 0xcd5a26d1, 0xa0490ae0, 0xa72a11b3, 0xaa7e37be, 0x6408d1d7, 0xbe8276d5, 0x386348a4,
+    0x7cc85ffb, 0x86146a1a, 0x51965e1d, 0xc82978b2, 0x6ec25846, 0x945579de, 0x6a6c11fa, 0x331debb4,
+    0x45211c97, 0xe90e46f2, 0x6332aa5b, 0xadfece1b, 0xd337d34e, 0x8feade8e, 0xb6646f47, 0x0d45cc2f,
+    0x446baed5, 0x867c580e, 0x68063c08, 0x5b8a63d9, 0x9d068a20, 0x70b39f23, 0x6ace1d2e, 0x5e32f1c1,
+    0x2f4a13b8, 0xd63e2b46, 0x1981ba05, 0x361a923d, 0xee37fb73, 0x281f66a1, 0xfa1ca77a, 0xe56141e7,
+    0x851362cd, 0xb99f9132, 0x4e73ace3, 0x43f7e1e7, 0xc453af6d, 0xedf98d3f, 0x327255e2, 0x4e2810a5,
+    0x16a57236, 0x6a163671, 0x9661ad69, 0x678ea2f0, 0xc9ff9b2a, 0x0ee036c4, 0x75974934, 0xeca12777,
+    0x46ca368e, 0xbb6b6ea4, 0x803edd58, 0xf5d0ca46, 0x1717f051, 0x40c21375, 0xf70d84a9, 0xb162f077,
+    0x8d00e892, 0x0bbc65bc, 0xbb9a8e3a, 0x72e10bbb, 0xac7316d6, 0x1b1a9e6d, 0x71ac959e, 0xe550f8cf,
+    0x40305877, 0xbf8d84f2, 0x49398676, 0x56e8cfc7, 0xed20bc32, 0xc8367701, 0x5e3a5603, 0x06ed8039,
+    0x06b5eb22, 0xc81ed2a4, 0x850bf1bd, 0xc083b775, 0x419aa885, 0x49f318ca, 0x2958904d, 0x067ac703,
+    0xabbddd68, 0xfc37849d, 0xa20efc9a, 0xe85a8e36, 0xf3e2ce7e, 0xa755e04f, 0xcb44a87b, 0xa1e12d30,
+    0x2a520a02, 0x3237905e, 0x229eb075, 0xfadfe71f, 0x3aeddf58, 0x2176db15, 0x3f26af05, 0xcf69abd1,
+    0x2d73cea3, 0xef301f45, 0x78c570bf, 0x0545fe2e, 0xbc472134, 0xa985ea85, 0xea0b0a39, 0xa48ad222,
+    0xe2a29055, 0x902580e9, 0x4ba59d19, 0x37bc11a6, 0x6074f214, 0xdf4723a1, 0xe0f3a094, 0x2b5c8de7,
+    0xd6dff7e1, 0xe8e46011, 0x145ba17c, 0x92a76b08, 0xd0d0440e, 0x621f05b7, 0x99f76a23, 0xa1aff68f,
+    0x6ad9baf3, 0x88d70444, 0x925145f7, 0x04e99843, 0x513f2943, 0x50f75325, 0x7c06d4d0, 0x266965b2,
+    0x9cae8ee7, 0xaf0dcb35, 0x1349e70c, 0xabd24d2b, 0xaeb27f49, 0x191f7a3d, 0x722bf256, 0x7dbd729d,
+    0x2ae9cc33, 0x938c1eeb, 0x08cb2c5c, 0xefe7ade3, 0x5f2c674c, 0xba485fc6, 0x8ad1d3cb, 0x89a571d0,
+    0x00000000,
+    0x08dbfd4c, 0x7a14f5e5, 0xa0aa4e29, 0x7062e0ed, 0x7810b115, 0x3d317ccd, 0xa9bfbe8c, 0x2958b724,
+    0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000013863348470604074297892070920715418517182185376879082\
+                          87585239790307310653902812811519987203052069789048695605480701785914487078912 */
+  { 0x00000000,
+    0xd9f47bfb, 0x086cd2f0, 0xb6d77180, 0xbb650433, 0x6daa1829, 0xafa485fc, 0x6f775386, 0xf23fc107,
+    0x9d34e484, 0xf3409fee, 0xe52b849f, 0x5ffc394e, 0xead364cd, 0x3b9f2be7, 0x7b7cce42, 0x25703e68,
+    0x04d610b8, 0x00635821, 0x30580713, 0x74eb10af, 0x3e2170ad, 0xca339e72, 0xa1e71e97, 0xeed9b1fd,
+    0x90315fa3, 0xa38c71b5, 0x3924a9c9, 0x62c48938, 0x38cf8ace, 0x64315b1a, 0x91b6739b, 0xeabf7982,
+    0x9008f9a6, 0x3c8c3733, 0x920ba8d3, 0x1ce7ac48, 0xc0145cc2, 0x789eca44, 0x7c4bfcf9, 0x4e76fa09,
+    0x471f672a, 0xcf0673b8, 0x9786780a, 0x060e3a38, 0xd1388712, 0x234f3aca, 0xfc7d3938, 0xbfbf8cda,
+    0x39991ff5, 0x88980419, 0xa287c744, 0xf0b320ea, 0xe09973df, 0xb86c9445, 0xa74c4d09, 0xc8ecd2d2,
+    0x0f20cd9d, 0xd208f587, 0x705e3765, 0x8071fbf7, 0x22cd4664, 0x99e50b9a, 0xed4bf47c, 0x880d6eee,
+    0xf2999630, 0xc7e6333f, 0xfce64052, 0xb034bca3, 0x10105376, 0xc71e8391, 0xa028070a, 0x4d6c4eb7,
+    0x8c231e62, 0xefe75046, 0xcfbbdddc, 0xdf5b645a, 0xc6b2ae99, 0x6675a008, 0x81652206, 0x4dac5ba6,
+    0x592e26ab, 0x6d47ed35, 0x1ce3eefd, 0x473d466f, 0xacdcbe78, 0xa3501266, 0x716bf57c, 0x61f9c283,
+    0xd28dcd71, 0x4b6d9f15, 0xa78092e0, 0xf9626026, 0xd7215020, 0x11dd06d4, 0xfd5d5cb1, 0x5c5842ee,
+    0x2681b7c0, 0x37a851ad, 0x57311d72, 0xe81fe5d7, 0x9a23d9ae, 0x51949514, 0xd8d2095b, 0x34ffddb9,
+    0xe60ad262, 0xb69fc173, 0xcb5a246b, 0xf10545f0, 0x45bba01c, 0xfe8271a5, 0xe5e2d0a0, 0xf5011036,
+    0xdfbf04cc, 0x0ca98e37, 0x21e512f8, 0xbca45a4f, 0xcb592938, 0x096af9a9, 0x3189a4a8, 0xde11c9de,
+    0x39a5d691, 0x40e52232, 0xc33327f2, 0x4840a521, 0x94f8ee4a, 0x07a70f92, 0x7e1c4e87, 0xa172d984,
+    0xf7d18a28, 0xc84ef638, 0xfd996916, 0xb13d084d, 0xbf8bf82c, 0x1495a3ff, 0xff5ce9b8, 0xddb1a9c4,
+    0xe0d991d1, 0xb8a677af, 0xff71fea4, 0x7da65c95, 0xcf170db6, 0xf6cd7a67, 0xbbe1e0c0, 0x93f54b17,
+    0x11248198, 0x12817eed, 0xc175ce56, 0x567e0939, 0xa3e3637c, 0xcbd9f4f1, 0x58e93151, 0x2d650d51,
+    0xd93db4bb, 0xe7742a01, 0xee1eb12d, 0xf49b8cde, 0x80f6dc12, 0x0fa9bd42, 0x7085f0b4, 0xccceb928,
+    0x6298797a, 0xdef8d2e0, 0x9fbcc9b9, 0x32034c31, 0x2b9d2a34, 0xf1864c9f, 0x20277ec1, 0x83f1475c,
+    0x871cf574, 0x31ba392a, 0xe04dcd71, 0x152c880a, 0xfef59e6c, 0xe69ade9b, 0x413461c5, 0x44154f8d,
+    0xf0486bd9, 0xbf4b0cd2, 0x3c2c39a4, 0x3d022a21, 0x0d5d1492, 0xec8d1b47, 0x6548ed1b, 0x87c855bc,
+    0x3f2e8f70, 0xd3ee11e7, 0x31586503, 0x36f2ce51, 0x931cf590, 0xd337dae7, 0xa9d40aa0, 0x59840c10,
+    0x179f1afa, 0xaa6deb07, 0x580822f6, 0x81a91e36, 0x2b3020f2, 0x22acfefa, 0x40bab13a, 0x6be77b52,
+    0x085e72bd, 0x21151900, 0x2c04f585, 0x95f8266d, 0xeee3ccc4, 0x0dc1141b, 0x690313d6, 0x8759a4b3,
+    0x30037cec, 0x1dc57cc6, 0xba7d1c3a, 0x0186e2b4, 0xb243e78b, 0x80b376bd, 0x0d15c02d, 0xacfbc544,
+    0x9ad06d51, 0x63cc01f9, 0xa3986f96, 0xdc0bf3d6, 0x24d6967b, 0xc7dc2461, 0x41aa10b0, 0xd1cecde1,
+    0xee5890c3, 0xca5b84a3, 0x304d3647, 0x788b177c, 0xde74c4da, 0xa5352022, 0xadc4ea53, 0xc0b014a6,
+    0xaa5c17b0, 0xfcfff788, 0x143c19cd, 0xe945c66e, 0x88eb2f0a, 0xcfe72a03, 0x710d6a2e, 0xf76f5ffc,
+    0x7cb5ab77, 0x0e5287bb, 0xf0acc10c, 0x6eb3151a, 0x04634586, 0xfc86ab54, 0x9543919a, 0xcb2121ac,
+    0x03c5aa42, 0x23466f22, 0x8541c2bf, 0xa6f13bec, 0xb2321db4, 0x7e51167e, 0x528e5a27, 0x9ce5981e,
+    0x9a998b88, 0x97a82adf, 0x44319779, 0x706d32c2, 0x2285fabe, 0x751c5523, 0xac74a3a7, 0xcc4b239a,
+    0x2d0ecefd, 0x5ba1bc2f, 0x03e9c4b7, 0xec8b3038, 0x5f72a5e7, 0xd8f00085, 0x8155fa07, 0x4ec06e40,
+    0xd2e4ab7c, 0x52a94531, 0x3f60ceca, 0xb2eb54d4, 0xb29bd86e, 0x3ca83946, 0x5f098d6e, 0x2c6004ce,
+    0x384ec824, 0x8d1dd7d6, 0xc6a0ac43, 0xd0a3547f, 0x753687c3, 0x8c18c4af, 0x302dcfe0, 0x2f6ee15f,
+    0x6d82c888, 0xb4f10d21, 0x0e5fbe70, 0xf3496f64, 0xf1ffd042, 0x4d163eb7, 0x704c1727, 0x7728587c,
+    0x281d9b14, 0x0681b80a, 0xbd62941f, 0x83a7a92a, 0xbc319693, 0x6c451d9f, 0xc81e4d22, 0x7658c75c,
+    0xfb4f6040, 0x90838c5e, 0x9388c027, 0x0622ee79, 0x9cf86ff6, 0x938ac43c, 0xaf207fad, 0x70f6b39e,
+    0x1a9f488e, 0xf34e88a3, 0x5429b2f1, 0x748534c0, 0xf1ef4700, 0xf4ff5b21, 0x43769468, 0x7bba2cc4,
+    0xf72317d0, 0xf495026a, 0x3e7a0d33, 0x89b6cc83, 0xb575b4fc, 0x2603f0bb, 0x6eb13b48, 0x0995feb0,
+    0x608259d5, 0xed0ee169, 0x1222dcef, 0xd95f7c20, 0x07330a06, 0x37b50566, 0x07307b90, 0x08a12eb9,
+    0x61ad1c14, 0x700cac52, 0x794560da, 0x38698a6a, 0x88ff04bf, 0x018b37d1, 0x5482ce23, 0x07845a8d,
+    0x45008041, 0x1e658096, 0xb7827c26, 0x986e4c5d, 0x0cb8442f, 0x2f4a1d52, 0x2f1a431a, 0xd0752587,
+    0x47916334, 0x40752ee1, 0x3e9087de, 0xb4cc212e, 0x08fc7b88, 0x61c3c2db, 0x5a09b98e, 0x76a98561,
+    0x3e7776bc, 0x6e389ec1, 0x73160a8b, 0x4c30ec6c, 0xa6b14337, 0x1c62a6ed, 0x8cd1c9ec, 0xb50e6a6a,
+    0x732a14ee, 0x71486fab, 0x4c680562, 0x9ed89706, 0x32020659, 0x81c3564c, 0x763c844a, 0x87895923,
+    0x3a5ecbbb, 0x07f0ceb4, 0xb3b7229c, 0x59f24569, 0x045b1778, 0x987a75b8, 0x728ea096, 0x5627ecbb,
+    0x2983bcc1, 0xd7d81d47, 0xfeb3681b, 0x5eac8263, 0x7b7460ee, 0x708c03f5, 0xa2e09537, 0xa5913f8c,
+    0x1c4c1c97, 0x88a9b505, 0x7dbe3aab, 0x4b4319ad, 0x45831cfc, 0x4196ac42, 0xe19532d9, 0x27895602,
+    0xa7bbb249, 0x3211ca00, 0xbb502d2e, 0xceb13700, 0x63f97855, 0x77567453, 0xda67b8cd, 0x141563fc,
+    0x1df00c73, 0xa45ee530, 0x3734c2c8, 0xc1988a20, 0x2be5c9ef, 0x22ef2788, 0x259956d1, 0x27522a39,
+    0x900dec38, 0x2a6fe6ff, 0x668098c0, 0x1825b4be, 0xd95193a5, 0x5e186055, 0xe94f229f, 0x8ce87407,
+    0xce2ebecc, 0x41eb1d43, 0x09b19a29, 0x1c35a72f, 0xf34cc317, 0xb9df982a, 0xd8d47b46, 0x92c4282b,
+    0xf70debad, 0x3b89e1ae, 0x2a3ee35f, 0x802ac7b1, 0xaec8ef1d, 0xe40b92bb, 0x61d733e9, 0xb748c8db,
+    0x323f6cf3, 0xf99f62cb, 0xffe5b3a7, 0x22b1f4ec, 0xd52cc45a, 0xd8b56c38, 0x2dba4c83, 0x53afe24a,
+    0x52aa78d8, 0xc110a3d9, 0x56cad3f8, 0xd1869ea8, 0x31d2d203, 0x55ae47bb, 0xa1dc2810, 0x48ecf0fe,
+    0x739e9648, 0x2ed97cae, 0xe4729e76, 0xae40cfb9, 0xfbac734f, 0x3fd27abf, 0x5974f3e6, 0x38997b66,
+    0x44124eaf, 0xf8339d3f, 0x4ddb29d3, 0xe7238fac, 0x3a8d5e91, 0x937c228c, 0xdafb4265, 0xc9e3bc67,
+    0x4b019b32, 0xd181bda8, 0x8b0d67cf, 0x56cf8e1f, 0x3fe90c1f, 0xdd351c15, 0x5eae803b, 0x02aa1bbf,
+    0xc8aada39, 0x641119ec, 0x11483e8c, 0xb56647ad, 0x79ae6472, 0x4b92fcce, 0xcc8d334b, 0x4dca0494,
+    0x0a18477a, 0x17facdec, 0x2a3e8fa8, 0x4e83f6c7, 0x641240a3, 0x8ad7c225, 0x8c621dec, 0x04dd08e8,
+    0xf44e6ec6, 0x7fffc5f3, 0x7a5780c4, 0x816bb376, 0x682b96b4, 0x1daaa387, 0x4fb66ff3, 0x4e5cad8e,
+    0x89ccf791, 0x8a2ad83b, 0x7074d723, 0x6ee70dc9, 0xef89e71b, 0xd185c8e9, 0xd5059697, 0x9b3651cd,
+    0xb1412c7f, 0xe4bc224a, 0x91ca9110, 0x72039738, 0xb3b080ad, 0xb2cace07, 0x2dbb765c, 0xe7058c65,
+    0x29df84cd, 0x4adc9e57, 0xeb9dc397, 0xa9a20334, 0x6e9d1546, 0x50b244aa, 0x11bc4658, 0xd48b7d37,
+    0x6d866d2a, 0x5d1c6ee3, 0xab7e18dc, 0x14cb0bf5, 0x1ef518f0, 0xcba20cbf, 0xde3ca70d, 0x08ad874a,
+    0x0aabb760, 0xa8dbc3a3, 0x711482d4, 0x05fce898, 0x8774a871, 0x8d0e1812, 0x38bca580, 0xb1213386,
+    0x25349be9, 0xb05af2a6, 0x28883805, 0x596299c8, 0x457179ca, 0x7519cc86, 0x8b2d197c, 0xeb565dcb,
+    0x3eb671f4, 0x8ca55068, 0x8894db14, 0x9fba0105, 0xe8069352, 0x0cb1674c, 0x5438477b, 0x6fbe5a03,
+    0x0bcd5254, 0x63495c9c, 0x2b09aeb7, 0x3b648d5a, 0x1de7f89c, 0xb5fd64e1, 0x76f6b1da, 0xf185fa5b,
+    0x89dcf3e2, 0xaca34183, 0xd96cc541, 0x362542b5, 0xf63d4054, 0x753ebdf5, 0xff884427, 0x20a2c768,
+    0xff3d2a64, 0xe5382af5, 0xee4b8255, 0x860ed64f, 0xc1e5e410, 0x5e7a9f7f, 0x76229811, 0x1c6c6eff,
+    0xeaf13edc, 0x2b5f09ce, 0x7d56fec2, 0x1b553099, 0xf0112218, 0x2acd0080, 0x9f6b4375, 0x74ab8dd5,
+    0x09e973f6, 0xcf28181b, 0x39ab90fc, 0x571a84ce, 0x380ea2e5, 0x67c858da, 0xb5aad08a, 0x233bf94d,
+    0xa75c2f79, 0x14344f51, 0x07241159, 0x2e38ef99, 0x48b5cf2d, 0x96cb2b5f, 0xf6d21bd9, 0x4db0662e,
+    0x8aa4a523, 0x553b64c0, 0x3e007a8b, 0xb019f550, 0x0d8ff9bc, 0x01fea098, 0xdaf5ea3e, 0x496733ed,
+    0x517f0f54, 0x10aedc24, 0x1a10bbda, 0xccb8cd22, 0x6414d8fc, 0x86c5fdb8, 0xd68a5986, 0xc2b7d64d,
+    0x1fd7490f, 0x1ec52882, 0xd618ac41, 0x177e2c01, 0x2474629e, 0xe6f15c05, 0xc08bd093, 0x2d1f0140,
+    0xfd9cbe2c, 0xcb4f2d8a, 0xa1f84371, 0x874c61c1, 0xd2e0d693, 0x68b7ce8e, 0x8e49fe76, 0x061a43d0,
+    0x7e7fee0c, 0x36281e1f, 0x46d7bd6c, 0xd46e1f74, 0xeff60937, 0x3088d51a, 0x18f3fe96, 0xde30dd6c,
+    0x78dfd9b4, 0x22887cc3, 0xf9d3da96, 0x46f2b960, 0xc189e860, 0x0f6624e5, 0xf0fb9753, 0x0ad4d5ac,
+    0xcc60f2dc, 0x4907e3d9, 0x60b35bce, 0xd27098a0, 0x28bde627, 0x17aa7e9a, 0x12348346, 0x238fa4b8,
+    0xe9906f8d, 0xecf3b9d3, 0x083cc2cc, 0x0f8c8588, 0xdea83137, 0xfa15f422, 0x59e215bb, 0xd565d47d,
+    0x28c531a8, 0xd8282225, 0xc5852b8e, 0xd031a45d, 0x8592d4b6, 0x9c58e34d, 0x032fc82f, 0x0a4b0314,
+    0xb8591d64, 0x0362499c, 0xe5d92467, 0x015a76cb, 0x92eca12e, 0xf622b40e, 0x9ae193a1, 0x73deb616,
+    0x15aa5f08, 0x6c4990e2, 0x5350ec81, 0x25b822f8, 0x4598fbfc, 0xef434b29, 0x825a36d5, 0x5c8b3295,
+    0x0029cf13, 0xf32b4c67, 0x8b134f47, 0x2aa93d03, 0xbd600a37, 0x99b20cca, 0x99cb62a9, 0xe35d2860,
+    0xbad3119d, 0x8c0fbcff, 0x547768f6, 0x41abcd9b, 0x512135b3, 0x023cac21, 0x81e537a3, 0xc15ae41a,
+    0xeb86b472, 0x91f9afc4, 0xcf684919, 0x454d1447, 0xf88412b3, 0x5edab219, 0x3ef92f35, 0x7f769dce,
+    0x71df8b48, 0x0668e2b8, 0x99ce4154, 0xc05af86d, 0xb660e77b, 0x51491089, 0x1984a325, 0xcfc88df1,
+    0x0f780f67, 0xacf98fbe, 0xc646cb28, 0x1e5f06c7, 0x8a560f1c, 0x0b2d3705, 0xcf24de5c, 0xd1b9aa6d,
+    0xf01d5657, 0xbe2afe1f, 0xe9b243a5, 0x2c1e3122, 0x4dd28eda, 0xed220b47, 0xfdf7df32, 0xcd12aed5,
+    0xd19717ae, 0x402e009d, 0xaaa1d0f8, 0x2c479153, 0xaf44d7ff, 0x9c714021, 0x39a63954, 0x9b703f69,
+    0xa9ebabca, 0x3269f03b, 0xd6920d20, 0xac29880e, 0xd2e3ef61, 0xaab95de7, 0x31d98c31, 0x672ecbbc,
+    0x5142bfc6, 0x30b50c4d, 0x11131862, 0xd5c27f49, 0x23b6a533, 0xf9deeee4, 0x59570d6f, 0x9ebf40a9,
+    0x360b7ca9, 0x6d28adb6, 0xd13c93b6, 0xcd24467b, 0x6ce85768, 0xba2c7604, 0x2b227342, 0x322e64d3,
+    0xa9d8647b, 0x0617372f, 0xf986fc24, 0x57d203c6, 0x51e6cbab, 0x36a1c0bc, 0xf87902e9, 0x3cb8a88f,
+    0xd2d611e4, 0xaee6697b, 0x923a24ac, 0xb709a34a, 0x445b86c5, 0x1f7fd18b, 0x6cbdff00, 0xedbfb18c,
+    0xa30bb606, 0xd5711e76, 0x4de4cbdb, 0xdb7a5a1f, 0xffb2a717, 0xf36685e7, 0xf1841eb5, 0x9105d65d,
+    0x7f8f9416, 0x8d6dcbc5, 0x92eba678, 0x77c39bba, 0x928c7acd, 0xb2b88f04, 0x7ad38713, 0x73bb4992,
+    0x9983feca, 0x3183f58c, 0xdba702a9, 0xb7860384, 0x60d74a15, 0x547abfe5, 0x3346121c, 0xae0d3256,
+    0x285a5cb2, 0xf3fd1ef5, 0x9aa6daea, 0xf6c2751a, 0xcbdb693e, 0x37c6e4a7, 0xec602d1e, 0xb0e66344,
+    0xd7dd5161, 0x41b61353, 0x7dfa4bf1, 0x6b9dce91, 0x28454409, 0xfb4f5e54, 0x051660d2, 0xf3c7e01e,
+    0x1f614b8a, 0x4c1e216d, 0xbd6cfa85, 0x759e8546, 0xfae7e0f7, 0x22dadd64, 0x0f4afbf5, 0x2ef6921a,
+    0x7f26f565, 0xcead3857, 0x206e034d, 0x71c7a0ea, 0xe1fed528, 0x0cfaaee8, 0xe912fc5b, 0xf737200e,
+    0x0832cf2e, 0x3117c456, 0x45e99018, 0x2f173da2, 0xe8a9b837, 0x3e1ed844, 0xceb419ec, 0xdd2a9ce0,
+    0x4f7ac30b, 0x8d3e9ac1, 0x7e0cbf86, 0xc26e3702, 0xb50d7c5e, 0x72e76d26, 0x4c7ba36d, 0x6ee7b689,
+    0xdf829f46, 0xb465ab71, 0x77620465, 0xf373ca9f, 0xe5470560, 0x82bd8e6a, 0xb62fe087, 0xfb0bb31f,
+    0x67d2c5f6, 0xb8580213, 0xf370b663, 0xa7bee955, 0x67c73181, 0xe828dfd5, 0x124af580, 0xdb64f52f,
+    0xe29cd752, 0x314ce64a, 0xdd342461, 0x2243d807, 0xea78c5f9, 0x2294ee3f, 0x6f01b66e, 0xca2e8a96,
+    0x64e5305e, 0x4a21d158, 0x5f99811d, 0x747f686b, 0x92e64457, 0xb03fd3f2, 0xf0b95e18, 0xd13e891b,
+    0x61a6a649, 0xd5b81218, 0xbf4ac223, 0xc01e5f6b, 0xcb08957c, 0xba50b955, 0x3ee0fef4, 0xc2eb1864,
+    0x44e5739b, 0xc33bfb03, 0xc420cd95, 0x4399c21b, 0x8cc1e93f, 0x198e7643, 0x04205548, 0xe95dbfbb,
+    0xa72cdcee, 0xb8568077, 0x7a099646, 0xdf93525e, 0x7e1f7ebf, 0xc535bad5, 0x62eee7b7, 0x048292f1,
+    0xf3552769, 0xa9ca5df0, 0x012858c5, 0x7151f0ab, 0x59e8b097, 0x5a42356f, 0xcf1a819d, 0xc048b10a,
+    0xe28f843c, 0x97ad5c90, 0x2f38a52a, 0x08dda9fe, 0x6f638f35, 0x6de60879, 0x5c366e87, 0xbd9b0394,
+    0xcdcdc64d, 0x8c7f2040, 0x0a8b04aa, 0x7c2fefae, 0xf3c8cd13, 0x69f61403, 0xd573b52c, 0xfbb2e743,
+    0x7e7d37ed, 0x67229a76, 0x75cfa637, 0xe4b0e620, 0xc73058ae, 0x2c73ed77, 0xce4c2ed3, 0xd24e4936,
+    0xb0673ca6, 0x9f69004f, 0x04aec2c0, 0x34223a1a, 0xa5a6b841, 0x258470f8, 0xf58ac19c, 0x39b89704,
+    0x02b3892f, 0x75345c45, 0x9e99bc39, 0x90b6fe03, 0x1e9a0b3b, 0x08811c2a, 0xb197fa29, 0x9cdb4fb2,
+    0x99a88b90, 0xb4c87ba7, 0xdce7bac2, 0x8015130c, 0xc074f764, 0x26f6ecec, 0x964dbf04, 0xcf61b278,
+    0xbd8e0fb6, 0x3335de65, 0xa820635e, 0xea9965a8, 0xf6ed9e5b, 0x7189aa9c, 0xe57f32a1, 0x384f4b08,
+    0x9e7eac8b, 0x19cbea77, 0x8114a4d9, 0x7947bed0, 0x4193e636, 0x9232d4b8, 0xf4e324ca, 0xaef9fddf,
+    0x5869a369, 0xce824396, 0x97341acd, 0xbe61b847, 0x31f953e6, 0xe889d266, 0x96706909, 0x105c25c4,
+    0x05916ea3, 0x6d580421, 0x0e370dbc, 0xa75ca360, 0x6a262625, 0x26e1d8b7, 0x6a3518bd, 0xbbb76599,
+    0x00000000,
+    0x846dfea5, 0xbd0a7af2, 0xd0552714, 0xb8317076, 0xbc08588a, 0x1e98be66, 0x54dfdf46, 0x14ac5b92,
+    0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000006931674235302037148946035460357709258591092688439541\
+                          43792619895153655326951406405759993601526034894524347802740350892957243539456 */
+  { 0x00000000,
+    0x0b0a8aac, 0x308a2cfd, 0x56b8324c, 0x615ad591, 0x3aa0bc0c, 0x2186918c, 0x8bfae220, 0x1ebd35bc,
+    0x0c62bc64, 0xf3b00c82, 0x9ddab2e5, 0x6e6cb0ac, 0xb4f95b23, 0x68b3b7df, 0x876622b5, 0x50cb1295,
+    0xbbf69f4a, 0x67d95305, 0xe1b0610c, 0x5c74f2cc, 0xbaf07041, 0x4b9793d8, 0xb13bbda8, 0xfb312c38,
+    0x2a237901, 0xa406dab8, 0x81476e31, 0x219fa77f, 0xd3fd40e2, 0xe711a5fa, 0xd2c12050, 0x44a856a4,
+    0x3221af21, 0xc7af1652, 0x7d3f1047, 0xac73cb1e, 0x018d8a91, 0xbc18df49, 0x83657feb, 0x9649482e,
+    0x8a4e854c, 0xec7b97c6, 0x1ed89143, 0x196f5b4e, 0x3ecada70, 0x33b6a10a, 0xd05f1b29, 0xabf4ea84,
+    0x6be81a6b, 0x84796d14, 0xc64c65ea, 0x732c0c72, 0x9f4342c7, 0xf25bbac5, 0xd98df433, 0x53eb1667,
+    0xf763f572, 0x5e8a34c0, 0x686a292b, 0x0a147b91, 0x9568d61c, 0x3b232777, 0x985b59ee, 0x27316bb6,
+    0xfc4e645d, 0xf43f07fb, 0x118d9cd8, 0x3fe9fce9, 0x566c5c63, 0x7cc27987, 0xabe00cac, 0x3ea9d1d9,
+    0xc387e45e, 0x2a97f733, 0x09c27b24, 0xd5fe3fde, 0xbf846a23, 0xd8b5f85c, 0x742733e3, 0xe8b4966b,
+    0x916bd1a6, 0x7226f90f, 0x564a9f54, 0xde8f5420, 0x6cc65154, 0xf439688d, 0x3e77d22d, 0x3da0f22e,
+    0x149429ef, 0xeb940a63, 0x611f295c, 0x50a8cb5f, 0x20edd1f1, 0x3e1b8440, 0x448ce536, 0xf6047f01,
+    0x38b49c99, 0x13c9248c, 0x1b5690a0, 0x61bd9b38, 0x2ae97a59, 0x264b6884, 0x5560d204, 0x3b048e77,
+    0xd79ded49, 0x6332470d, 0x7e8ca6a3, 0x391f2008, 0x0286e32f, 0x8123131b, 0x989bf267, 0x3da78014,
+    0x48ed1261, 0x66c7d224, 0x494aba20, 0xe95a8385, 0x541abb8f, 0x57d6bdb4, 0x0839d58a, 0x879456e7,
+    0x7b70160c, 0x380cd877, 0x4070a32a, 0x18c4071e, 0x88ac7eb6, 0x43c43d7b, 0x3c3638e8, 0x364e177e,
+    0xe4128eda, 0xb6abe395, 0x083f7715, 0x0008e34e, 0x3736cacf, 0xcd8ccfc0, 0xebf1ddb4, 0xa249de63,
+    0x7641516b, 0xad65c9a7, 0x386017b7, 0x1a2099ff, 0x37ab4857, 0x6179c638, 0x3d3e4cf0, 0x0d7a42b9,
+    0x16b9a621, 0xe1bc5a77, 0x854bc5ce, 0x794586cb, 0x664920c0, 0x33dda59c, 0xae4d7144, 0xc24322a4,
+    0xbc42f529, 0x55bdf753, 0x81bad2a7, 0xedf42e64, 0xd748d6c5, 0x52abe691, 0x2993bdf2, 0xbabd189e,
+    0x1378fe9a, 0xc7eaa203, 0xb3163d3e, 0x2c5fb4ca, 0xd90dd87a, 0xbf20b215, 0x784331e5, 0xc87d69e3,
+    0x7a2e8ed7, 0xc5e423c8, 0x2441ce1e, 0xc6398e8b, 0xa799d43e, 0x537346d5, 0x3e3c4081, 0x64a427fb,
+    0x238cfcbf, 0x85380d1c, 0xcd9d6a6c, 0x41f5cf34, 0x8babb540, 0x80ebee9b, 0x980f7d6d, 0xbe239286,
+    0xee6e5c4b, 0x49dc4cdc, 0xe95a2912, 0x3f8c1936, 0x9c6d4676, 0xb2ecdb40, 0xbac71c3e, 0x086c6555,
+    0x04275a05, 0x55632351, 0x0dea288d, 0xd66f094b, 0xf4a25254, 0xc39d8fb0, 0xe18c684a, 0xda7f2783,
+    0xdbebd6d4, 0x01016957, 0xfbd80175, 0xedfece90, 0x46362c67, 0x262f2f59, 0xf2b69966, 0x0bfe9bbf,
+    0xb06fa2b5, 0x855ebe0f, 0xb7454c12, 0x1a034650, 0xf17c0930, 0x6f10330b, 0xf4284889, 0xc49549cd,
+    0x64a58d8e, 0xc7d36c3c, 0xa4ef4c02, 0xa6121250, 0xf60e8050, 0x4b791a9b, 0x9261deb5, 0xe70c3630,
+    0x33a7bdbf, 0xc9e8be25, 0xa2edc5dd, 0xe06906d5, 0x36f444ad, 0x568f983b, 0x05ffc31e, 0x0daf0f56,
+    0x42875de5, 0x6ec1002d, 0xe151961b, 0x6f7b03ee, 0x2e81b0ba, 0x30fbcf9c, 0x386449c5, 0xac4d2fe5,
+    0x7a0afa3d, 0x3d99f283, 0x4dfc491e, 0x9a1b0ce2, 0xb6a6bce7, 0x07cf4ba1, 0x8e2b16eb, 0x52041638,
+    0x6c18550e, 0x46a1709a, 0xe396c66c, 0x4f17a613, 0x105f43c0, 0x2c4a7f27, 0xc7acf0d9, 0xeb9c1ed6,
+    0x6e552bb2, 0x2db59d36, 0x36b667fc, 0x8e3762fd, 0x5d0111c8, 0x252bf507, 0x05458b29, 0x8c1078be,
+    0x39cee2b5, 0xd5357a61, 0x43cbda2d, 0x7ec4450f, 0x9b8ee8a0, 0x26379cce, 0x0a75bfcc, 0x028c4e1a,
+    0x2103410d, 0xfb52f415, 0x0b2da60b, 0xc2516344, 0xe53989b9, 0xc0e3ceab, 0x29e7a83c, 0xa3484eb0,
+    0xb2ce20b2, 0x6b81ee4b, 0xf3174b67, 0x222b5372, 0xac8509b7, 0xc597591e, 0x44041804, 0xb1d0d1bf,
+    0xa8c791c7, 0x673d43a0, 0xed1b9465, 0x9bec0335, 0x1906f464, 0xf60e152e, 0x8c338998, 0xd7c787d6,
+    0xdd19d837, 0xa01d7cea, 0x9e3e93f0, 0x7237bff6, 0x2d94bf5e, 0x0072d44f, 0x0470742b, 0x63aae3ad,
+    0x514f1e27, 0xbdf38915, 0x4f5afd2e, 0xcef35626, 0x0ac0d8ef, 0x0ca12dac, 0xcb8ab117, 0xf9c07166,
+    0x8f40209a, 0xd6158d43, 0xddbc71c9, 0x8c6a760f, 0x36cfbc86, 0x6dca097e, 0xb07e5032, 0x60623df5,
+    0xf25da95a, 0xc79a5dcc, 0x1161538b, 0x6e5eef55, 0x9ae561cc, 0x08da4bd2, 0xaebc8042, 0xbb0ed248,
+    0xab00f597, 0xd66b9d14, 0xd5f6919b, 0xce7823f5, 0x0f1d838d, 0x3f60943e, 0x5cd0257d, 0x028c046c,
+    0x8edeca9a, 0xa7c825e8, 0x523f803f, 0xe4a528fe, 0x0bceca54, 0x17c18d32, 0x0a3af339, 0x20e63178,
+    0xb7bca455, 0x6bf296f5, 0x2235e4db, 0x367561a0, 0x204a58c3, 0x34461837, 0xbd36b118, 0x2728319a,
+    0x236efa83, 0x6c0c0d79, 0xd88e0496, 0x1f166062, 0x0d4c863d, 0x742a1cfa, 0xe5bf67a1, 0xcf0ad944,
+    0xb171e68e, 0x7a1693a7, 0x126aa600, 0xad4125b3, 0x29cb725e, 0x11832f89, 0x39b8bb56, 0x0d1cf869,
+    0x92672187, 0x59bb7fb1, 0xba5e02d4, 0xd5d65723, 0x9dcafdcb, 0x5a7ecce8, 0x2412c6a4, 0xbcbe8904,
+    0x4ad54592, 0x0b9fe227, 0xb986b61c, 0x017cbee3, 0xa2485528, 0x0735c64d, 0xd082cf4d, 0x06935bd5,
+    0xbf4adee1, 0x62aba179, 0x454e56a2, 0x07497825, 0x1b36d4c7, 0x8ebe80d0, 0xff8f04c8, 0x85488fbe,
+    0xe40cf40c, 0x4afd5adb, 0xb9c6c068, 0xd9496bed, 0xc96128ab, 0xcb38be7d, 0xb0e16b18, 0x53aa9f84,
+    0x0050a20d, 0x124e0933, 0xcb2b1a5c, 0xf4af81db, 0x2d8ed6ef, 0xc295f4b3, 0x4a322819, 0x09033405,
+    0x6097e291, 0x7728dd38, 0x3fccb231, 0x022f5404, 0x45183c54, 0xab7eae67, 0xe3f4bd64, 0x562b9fc6,
+    0xc178eb23, 0x8a106b96, 0xf47823d2, 0x1c4d63ab, 0x7c057ae9, 0x24f54065, 0x9d7803b6, 0xa283f539,
+    0xbfa7819d, 0xf21bc281, 0xff119137, 0xf4058cb5, 0x1b240ca6, 0x3aa6947a, 0xc9006505, 0xcdb052a9,
+    0xe491db5c, 0xf1294b69, 0x594fc365, 0xce2aafcc, 0x3eaa7049, 0xf00b0f89, 0x2b5f5596, 0xc307afaf,
+    0xad64187f, 0x9f2c7e6d, 0xb0a9626d, 0xcf1511f5, 0xcf794132, 0xc527705f, 0x7f151f55, 0x2feb2780,
+    0x8d4bc630, 0x0ab94621, 0x186cd814, 0x6f3f81d0, 0x753caff5, 0x03d1a407, 0xc417dba3, 0x1a4322ab,
+    0xe25809b3, 0x3c5b23ab, 0x6cbef45f, 0x0ca95f20, 0x7f73ddd0, 0x1b3fb15e, 0xac784058, 0xf6f55ebc,
+    0x8f9b5b01, 0x189e4411, 0x96d7ce6c, 0x71938730, 0x9c1ff9e6, 0xf0eac432, 0x410556ef, 0xb7ad5709,
+    0xdcb6f351, 0x96558056, 0x9b85269a, 0x3a33fbfe, 0x89c49215, 0xc78d6e51, 0xc81e08e7, 0xb31fd63f,
+    0x281893e6, 0x7ec6ecc0, 0xffa23afb, 0x111a6efe, 0x77fdd103, 0xc4af17a8, 0xdc5a7550, 0xfb67f4d3,
+    0x7c828e9b, 0x9d123ffc, 0x1cf5ddda, 0xd013fac8, 0x042d2948, 0xd0a25a94, 0x0ee058d2, 0xd7a1956d,
+    0x5f9d2640, 0xfb9d56c6, 0x3229d648, 0xe8c0dcd0, 0xca24cceb, 0x63315cf3, 0xde54c361, 0xb6def0c0,
+    0x073a395a, 0xd4ef33c2, 0x93232e49, 0x42e9542a, 0x9f4b4cfc, 0xb76ad8d5, 0x029cfffe, 0x5dda2f7e,
+    0x68bcbf8a, 0x4d50563c, 0x3d60d015, 0x86ce0205, 0x8f8b549d, 0x3076415d, 0xc68464fa, 0x9d310ceb,
+    0x491a67ab, 0x8341356b, 0xf1d0d231, 0x073c5e58, 0x6aa7cbd5, 0x365125ef, 0x4cc0f515, 0x236b79cd,
+    0x641168a9, 0xf7b145f6, 0x9546c2ed, 0x78294ab5, 0x5cd1adee, 0x39d69b14, 0xf3481452, 0x80e7ea5d,
+    0x0cacc705, 0xa00e7841, 0xbebd564b, 0x79e04278, 0x2e0de969, 0xbf3f2f0d, 0x66abc41c, 0x4eefbf88,
+    0x023ed580, 0xbd8a24e1, 0x9d18c17f, 0x94ff9c38, 0x156963ba, 0x0a4ba240, 0x945dc6dc, 0x56a6fe1b,
+    0x4d505683, 0x3207ce9c, 0xf79cc8a1, 0xa8feb5aa, 0x6c5b8b2a, 0xde5018d7, 0xbed1e6d3, 0x84901b14,
+    0xf25cebe3, 0x9d681440, 0xc6ccb493, 0x9afa1297, 0x580e6d66, 0x6f292c3f, 0x9f5ec8fc, 0x86187bcb,
+    0x88066017, 0x25f08468, 0x1d24d3c2, 0xa388200f, 0x78b549ba, 0x6c1d118f, 0xfe4db7ea, 0x95c5c215,
+    0x62be8f9f, 0xee64d83d, 0x79f19422, 0xf19b5084, 0x118d653b, 0x906f89f7, 0x58eb6ab8, 0xa3f13599,
+    0xfaf46203, 0xf0fe6a04, 0x0cc69da7, 0x3bdb0d35, 0xe9614784, 0xa1e4fed0, 0x240682c5, 0x4122e89d,
+    0x0e0682bc, 0xe27016b2, 0x62a4b199, 0xa27e3b4c, 0xd26b71b0, 0xa31379e7, 0x8e753b05, 0x55d6fbd5,
+    0x16953ff1, 0x259f01f3, 0xe59a79fa, 0xdc5c45da, 0x9fcf7031, 0x5e08163a, 0x92e35c72, 0x30aec029,
+    0x2cbb831f, 0xb3bc9a89, 0x052d4453, 0xc62d31d5, 0x39798491, 0x1d56f385, 0x2d9548bf, 0x41642df1,
+    0x16f47d24, 0x1da14863, 0x32767249, 0xeb0a250c, 0xace88525, 0xc39abf7b, 0x98d9d6f2, 0x6162b13b,
+    0xa353f140, 0x1f7693d5, 0x4b97eb78, 0xaf23151f, 0x3ae030e1, 0xa480bf8b, 0x4aae60df, 0x26598a7b,
+    0x914add0f, 0xeeaa54bf, 0x8a03d080, 0xf9da1d99, 0x8295ab3d, 0x3901feff, 0x04eba080, 0x49a6a2f4,
+    0xc7fb26a6, 0xcbdb98bc, 0xcc206326, 0x52c1c72c, 0x50aafd79, 0x65db4476, 0x2567d692, 0x4597d601,
+    0x183e8bfd, 0xd54211b9, 0x6d476da9, 0x68786a06, 0x7c38a7f1, 0x23013fe4, 0x5dad344f, 0x30059bb9,
+    0x59e549a8, 0x119c168d, 0x9b4f6d83, 0xd90f15ed, 0xf63dd2e6, 0xb22b2103, 0x9d7f2f03, 0xd1192e73,
+    0x4af3adea, 0xc6faba2d, 0x5515a476, 0x90e0d912, 0x46cf2462, 0x7de0feb9, 0x5e532c2f, 0x6fcd30be,
+    0x08795f02, 0xbc9dd1e3, 0xb57f71fa, 0x29086222, 0xaddb881b, 0xa8f98b40, 0x494dea45, 0xc6e06457,
+    0x8c93b521, 0x9e29e29d, 0x685a8cf6, 0x3881bfc4, 0xaca82634, 0x5d210e6e, 0x3251a6c1, 0x50bda6b3,
+    0x7f70e5da, 0x6e7b8a36, 0x3831301b, 0xc2057fc7, 0xb774a580, 0x0c433ce9, 0x32d481fa, 0x211a26a8,
+    0xf8f04ee6, 0xd685b57e, 0xa42656b3, 0xa0facb15, 0x1e5eb221, 0x983037c9, 0x5c4ca03e, 0xf26a7848,
+    0xa55ae2b2, 0xf1a4b0b7, 0x790629e9, 0x8e6b90ee, 0xd3a546aa, 0x8d94edb5, 0x3652a1c7, 0xf06f4169,
+    0xf854551b, 0xf8eb4ebf, 0x4d6ac641, 0x53228ac8, 0x8af66f70, 0xccf83641, 0x8b8a62f2, 0x0edb1a75,
+    0xcc2bb45c, 0xbd271569, 0xfc69a476, 0xa860a722, 0xe4e15994, 0xd30211d0, 0x3a806c01, 0xab2d61ea,
+    0x399c3c20, 0x81f7f995, 0x54dbbfa1, 0x40596a81, 0x94eed095, 0x44cbbefc, 0x5799216b, 0x41fe9fc8,
+    0x282d232b, 0x9502c945, 0x031d6a47, 0xf8956a8d, 0xd728f554, 0xfe5eb4ef, 0xa448c282, 0x076be443,
+    0xea6d796c, 0x83a5fd00, 0x828daa16, 0x408f78f3, 0x47421577, 0x57eb3f8c, 0x28fe0c9a, 0x11adce2c,
+    0x7b548b90, 0x429fa929, 0xff6b50c4, 0xe609ad08, 0x9df20183, 0x6dbd2d6c, 0x80d48b6b, 0x5b484d8c,
+    0x0da3ecb3, 0x1a3b20db, 0x4ec0cc24, 0x6f81225a, 0xd3121f3a, 0x3649df22, 0x1cea26d0, 0xa4b55bf5,
+    0xedf6ae89, 0x186b2180, 0x2e9b19a0, 0x354cb78e, 0xf57608a6, 0xf786f2f1, 0x901c2657, 0xd3988230,
+    0x7d2b8859, 0x19f3f7a7, 0x7d6dfd33, 0xf22fc395, 0x700ac724, 0xe3936363, 0x186a666d, 0x97a0ccf7,
+    0x782cfd5f, 0xf758f1b4, 0x1672b2dc, 0x565c9a6f, 0xebb380fe, 0x8c245280, 0xe5bd7e5a, 0xab065586,
+    0x15454788, 0xeb5dbbba, 0xbb36dfa2, 0xaca0cd33, 0xc3921099, 0x4ef2db91, 0xda5e12d8, 0x59559a4d,
+    0x73d3a9cb, 0x48d41a1d, 0xf5d9a43c, 0xdba0a635, 0x4119e7a5, 0x92adf040, 0xe749e5d0, 0x1f724f3d,
+    0x9207dcd3, 0x60409494, 0x56847420, 0xd1c148e8, 0xdad771f7, 0xe30482a8, 0x0279bf18, 0xbe1a5a3d,
+    0x2e14e0a7, 0x02fc4a2a, 0x970ee7c0, 0x59e17841, 0x76eff8fe, 0x8197e520, 0x0df59c00, 0xf86b04c9,
+    0xb6b00ca2, 0x494382a2, 0x6c5de66e, 0xa8a8c8ae, 0x82db85e8, 0xde40f29d, 0x28111b1c, 0x5da30377,
+    0xabcfeb5a, 0xc1c3666d, 0x4c798c6e, 0xc0f1ee77, 0xca1814c0, 0xbc5fdb00, 0x52587d1b, 0x4f438221,
+    0xe87c2408, 0x7e5e0ae4, 0xe962f790, 0x3c9f6e73, 0x063da2ff, 0xb146acb5, 0x94ae092c, 0xd1b0cde9,
+    0x9e77e1eb, 0x093d2da0, 0xb7d6a1a9, 0xff21b8b2, 0xdf301a32, 0x11d5e8a9, 0xc86be2f8, 0x0e637938,
+    0x33c51a44, 0xb02ba3ef, 0xed6ff0b8, 0x85d1b74f, 0xb319863d, 0x85be89fd, 0x95c3f14f, 0x1d3d0fa0,
+    0xb0c5d839, 0xad04e71a, 0x9d940b45, 0x08abea8b, 0x6e973b51, 0x47e17ddf, 0xc664d266, 0xdf432a91,
+    0xfc33851b, 0x3ed38f89, 0x966fc44a, 0xce5ccc85, 0x14067620, 0x198fc3a4, 0x2739aa20, 0xdd57e853,
+    0xec5ee679, 0xeda8cafe, 0x17e93795, 0x88f25fdb, 0xbefb9b46, 0x87d48dd1, 0x043308f3, 0x8409eadf,
+    0x7791a9cf, 0x9ecf6306, 0xbd5700f1, 0x0be67f3c, 0x86515138, 0xb797dde2, 0x7f0193fa, 0x6589dea0,
+    0x671b3121, 0x4fdb3cf4, 0x770ea552, 0x7af6cce7, 0x6c092e47, 0x372271aa, 0x007848ef, 0x9a783897,
+    0xc6d8da59, 0x55bc9da0, 0xf0d33628, 0x4a29a7e5, 0x75fcbabf, 0xf51eea7a, 0xae963bdc, 0xced157b8,
+    0xff14abb0, 0x9a321dd6, 0x8a81f4c1, 0xb8ba80b4, 0xc09c0410, 0xca4a5480, 0xff4d163d, 0x56372929,
+    0x68e6230d, 0x3f356b2c, 0xfc50cb34, 0x63b60b37, 0xf491776a, 0xec00a9fe, 0x535e0245, 0xdb04c612,
+    0xf5508564, 0xf970ace0, 0xe3d1db24, 0xaceff7ee, 0x7d138cf3, 0xb4021d14, 0x49498f44, 0x36e77b41,
+    0x5f3f47a5, 0xf7265363, 0x40369dd0, 0x75a41e88, 0x705aa044, 0x1956fd27, 0x10a55efe, 0x37ce25f8,
+    0xd7faf2b0, 0x8ac33530, 0xad45ac3a, 0x0eef9422, 0x1d6a46a3, 0x4280522f, 0xcf0d063b, 0x91b8671b,
+    0x26882dd4, 0x5499125c, 0xc0ebbd7c, 0xc83741a4, 0x93ab1c4f, 0x6bdf21da, 0x38ecb4e2, 0x39c2d195,
+    0xc755ba4e, 0x614d3642, 0x1a893bb4, 0x7cdb013b, 0x27aa267b, 0x1685151b, 0x5121bb1b, 0xfaf9f1ed,
+    0xca2af2f0, 0xbc7797ac, 0x87658672, 0x2be88905, 0x5e1ee7bc, 0x0644f773, 0x85a3a864, 0xf97e686b,
+    0x1f0c919d, 0x7250629e, 0xf1a31a48, 0xea2434f3, 0x90a37fa4, 0x8369f834, 0x7797bba5, 0x6a9cbf62,
+    0x83e907ec, 0xfcf30fd5, 0x54af30f6, 0x69b50174, 0x658a351b, 0x10cffe5b, 0xba1f99be, 0x6dc4bdd8,
+    0xbfe45265, 0x16aaf76c, 0x6c30b713, 0xa1d34436, 0x5360bcac, 0x335a00ce, 0xb69506ef, 0x62f25e77,
+    0xf9232df0, 0x80fcec95, 0x4ecb553f, 0x32fd6b1d, 0x899524cb, 0xdb5c9519, 0x665cddbd, 0x9b023a73,
+    0x00000000,
+    0x4236ff52, 0x5e853d79, 0x682a938a, 0x5c18b83b, 0x5e042c45, 0x0f4c5f33, 0x2a6fefa3, 0x8a562dc9,
+    0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000003465837117651018574473017730178854629295546344219770\
+                          71896309947576827663475703202879996800763017447262173901370175446478621769728 */
+  { 0x00000000,
+    0xaa28a26d, 0xcc85238d, 0xb47254be, 0xd6c0c32d, 0xa3ed0b56, 0x30f31967, 0x245518f4, 0xa58b9906,
+    0x92e6c8da, 0xcfa1c2dc, 0x27122eba, 0x05a9fe21, 0x5ee40794, 0x916c08e0, 0xa336b913, 0xd68db0e8,
+    0xd1afdd4c, 0x2e3991d2, 0x67eea9c4, 0xbb1d4144, 0x4ce2067a, 0x2f0fc981, 0x5687e1e5, 0xa12ae51b,
+    0xae33c017, 0x5e0a9a55, 0x8ac7cfe1, 0x284b141b, 0x463f0a82, 0xe611677b, 0x6694bf17, 0xa16b1654,
+    0xb19f24f3, 0xea81908b, 0xbdc7f744, 0x5c7b75a8, 0x6d63968b, 0x34ce6b49, 0xdd8b3622, 0x165e9837,
+    0x0206463c, 0x4eece9bd, 0x42497eab, 0x89e9a258, 0xa8a22d42, 0x86097b55, 0xb7efff71, 0xd2eb719c,
+    0x34595118, 0x614c240a, 0x43d4377c, 0x5dcc92fd, 0xe306f5f7, 0xecd527d8, 0x4c989a7a, 0x9893171b,
+    0xcdf22f21, 0xc7223cd5, 0x5758697e, 0x9a7926b0, 0xfc266ddc, 0xa8aa8328, 0x89937c65, 0xfb5cee02,
+    0x2d6c476e, 0xeb379957, 0x7096d6a0, 0xd3c17837, 0x5f5699dc, 0x103cc0bd, 0x62d3a54e, 0x8d593c93,
+    0xd31517ae, 0xe7c603f0, 0x3c46d53a, 0x944f7a8a, 0xe8a283ed, 0x03bcda5a, 0x768a2f26, 0x399ab5b8,
+    0x9c4b9478, 0x65a211fc, 0x1469c179, 0x92a178ff, 0xa3b52dd6, 0xa8bf0130, 0xbef2285a, 0x8e1beef8,
+    0x73c588b6, 0x85688b9f, 0xb61363d8, 0x8626cc56, 0x20520a7b, 0x4b4d9d63, 0xab1983be, 0xa6676bbd,
+    0x3bde8a2d, 0x20d2c1b0, 0x588e1e77, 0x20a29d4c, 0xa6b39908, 0x63b74e9c, 0x840f7780, 0xba3a4533,
+    0x66e4b133, 0xcabadc34, 0x8f7cce20, 0xd1d1b9f9, 0x6ffbd897, 0xe2c5210c, 0x5a37074c, 0xc7b5daf0,
+    0x22b96a55, 0xdfa6343a, 0xb0589766, 0x18071e41, 0x4be81e48, 0xd62c4fc0, 0xea591082, 0x4e4ab8b0,
+    0xff58ad09, 0x76a1bda6, 0x78e3ef97, 0x4f7dfbc0, 0xc5fd4711, 0x461a627a, 0x8ba835e5, 0xdb0b3b3e,
+    0x6e9d9a68, 0x571cbb61, 0x1f580e9d, 0x482bc491, 0xc3791ee4, 0xf4264bfa, 0x8e182377, 0xa6488d4f,
+    0xc2edd79e, 0x0959faee, 0xf0d066b0, 0x3aae898a, 0x1ac0339d, 0x7a1950c0, 0x49c33643, 0x0fb1978d,
+    0x07ab19c1, 0xa349b559, 0x5f59452d, 0x2705659a, 0x7048eb3d, 0x5ffbcce9, 0x4a4faf4a, 0x5735add5,
+    0xe483d1fc, 0x6eee89da, 0x247d3183, 0xddfc2e12, 0x18661633, 0x1554f0e1, 0x2b95f92d, 0xc3766087,
+    0xf1b349f4, 0xc61d8135, 0x89c8b494, 0x8f6c9168, 0x366cf798, 0x017ae1ef, 0xdede0768, 0x55f65f99,
+    0xec1509e1, 0xc3f5c3d1, 0xd87f7457, 0xc1aa39ef, 0x38ec95d6, 0xc52391bf, 0xed104a2b, 0x96f3d068,
+    0x53ca8666, 0x0f1bb0c4, 0x541aeed3, 0x3f0a33a8, 0xf3f05deb, 0x590457a0, 0xf6bc24a8, 0x4209fc31,
+    0x1b986ee3, 0xceb25123, 0xdba340d6, 0xbee8918e, 0x49cc87de, 0x67c441e6, 0x3daad3ef, 0x4efa6398,
+    0xb3e50adb, 0x91803784, 0xfec70bf2, 0xfd4951ee, 0xbaa1f0fd, 0x4a09cdad, 0x9e99bc00, 0xc00a5d7f,
+    0xc6021611, 0x8f0cb337, 0x936d726c, 0x78c37304, 0x23db1931, 0xa2671967, 0x7c0b24bd, 0xf0ae512f,
+    0x5914fcd2, 0x3dec9129, 0x0bd43074, 0xf7c026ba, 0x8108db91, 0xb365c6ac, 0xb1bcb9a2, 0x4659bc89,
+    0xf318a4ee, 0x0605c7e7, 0x60c4ceb3, 0x71cd7d35, 0x3c1005ac, 0x559245e8, 0x972e315f, 0x92bf20f9,
+    0x9e5988d6, 0x350dd32e, 0x615d4cc3, 0x37c154b7, 0xaac2b6e6, 0xcf2723bc, 0xd257d67b, 0xeda0ba4b,
+    0x1be15e9f, 0x3498d1f7, 0x8cb2a6ba, 0x76b5a0ad, 0xd5380e30, 0x33e61f3d, 0x927ebc6f, 0xed7f23db,
+    0x09541aa2, 0x52b681c7, 0xe3df3060, 0xb5fb13b1, 0xd3b6a49a, 0x402c60d5, 0x1deecd1d, 0xd44c47b8,
+    0x84940690, 0x8af73891, 0x6106981f, 0xac6c597f, 0xc3467e2f, 0xb6edbb90, 0x5ff47999, 0xf910c59c,
+    0x103bb5ce, 0x7568be79, 0x68343021, 0xbb373fd9, 0x40fa7d45, 0x4f243182, 0x0619c52e, 0xf3d6502a,
+    0x48830782, 0x752f1041, 0xa9a01a59, 0x79838931, 0xb5fefc8e, 0x6a3c60bd, 0xb2f6f0af, 0x34b0a512,
+    0x94204668, 0xcc2c4019, 0x20ee4cab, 0x0c154df0, 0x45a015f8, 0x158908a0, 0xc9143c2f, 0x6be52fe9,
+    0x42309106, 0x0333d8cc, 0xec823a7f, 0x31e10878, 0x410b5266, 0xdba0ccdf, 0x700da64c, 0x114a8cc4,
+    0xb7b7026b, 0x1cd7b889, 0x499dde28, 0x3c6ae58c, 0x2025915f, 0x6939757b, 0x947df16e, 0x6824053d,
+    0xf6cecaa1, 0xc294b010, 0x391e6995, 0x6a68776e, 0x3461658a, 0x024b1d3e, 0x06fe280f, 0x22d34804,
+    0x13f60826, 0xbd70bd99, 0x74e2ed0b, 0x8ea16173, 0x5078adca, 0x4aa06b16, 0x018d9864, 0x77e2bb22,
+    0x90280942, 0xcf675058, 0x90e95ede, 0x5ec104bc, 0x5f857f24, 0x46476e2f, 0x7787425b, 0x4a828347,
+    0x9d3e6149, 0xb40455bc, 0x667ca867, 0x8ed0bb2d, 0xc6cb9bf4, 0x558912d0, 0x8e2740e8, 0xfdaa2de2,
+    0x784b3515, 0x0595cca4, 0x87d0ec07, 0x2d92e166, 0x08a6e934, 0xdd2757c8, 0xec356003, 0xc4e66cad,
+    0xabd5f887, 0xa4ab41ec, 0xfa18a4e1, 0xb403056e, 0x9ed64b4d, 0xd2e06ac2, 0xb07cd35c, 0xca053125,
+    0xd28856b1, 0x3a5e9362, 0xf479605e, 0xca4718fd, 0x9a364863, 0x47e4bc17, 0x0547bcd1, 0xeeb3f4af,
+    0x5f4d38e0, 0xac221a49, 0x2f412d5b, 0xab1e6fe0, 0xf116ac92, 0x9308c9f4, 0x38018629, 0xed58192a,
+    0xb45617a0, 0x04b06fbb, 0x79fc57d6, 0x98db909a, 0x5c12ba91, 0x4d65e07b, 0x20ea3764, 0x6747ee8b,
+    0xde8e0d74, 0xdd873c88, 0xd45f9d6d, 0xc4a2faeb, 0xd7a39057, 0x0974c8ae, 0xcca4a596, 0x09a2eb6c,
+    0xa0ce5850, 0x95c2d82b, 0x5394bd5c, 0xbab2e03e, 0xc118310c, 0xf835c844, 0xfbf54bf6, 0x7cde117f,
+    0xa02458a1, 0x750d8b86, 0xb68625a8, 0xade7f020, 0x332bbe40, 0xf5a78718, 0xd0407488, 0xaff52c10,
+    0x9c713638, 0x1bad683e, 0x9420a8dc, 0x00e048d0, 0x56d0cb34, 0x2d036863, 0x9ed591f3, 0xbd3eeced,
+    0x880adf2b, 0xf43c869a, 0x4255c8eb, 0xc1fb004b, 0xa1ce39ee, 0x02e278eb, 0xd9db5ba7, 0xeb07ab7d,
+    0x6be6c900, 0xbb25c940, 0x62ace9b0, 0x8ae656fe, 0x6762be64, 0xb779c851, 0xa0e3c5ec, 0x6bb4af49,
+    0xe7c3d67e, 0x79c4a18c, 0x031fe453, 0xd65090f6, 0xd7c902ae, 0xc55c0b03, 0xa7ce2650, 0x44891ce0,
+    0xab7db63a, 0x30dfcc47, 0x301fc664, 0x3e686dd4, 0x6cbd1b31, 0xcd469bca, 0x4bfec6b4, 0xb42acf46,
+    0x5f29e06c, 0x38c55687, 0x96a775da, 0x4c4cf21f, 0xe480f2fb, 0xefb0fbaf, 0x23a64524, 0xea4cda5e,
+    0xf4c20615, 0xabca275c, 0x4f509e69, 0x7a198b21, 0x90f5a42c, 0x36c4dd49, 0x66f1b0a3, 0x25f319b4,
+    0x28b59693, 0xc8ce84a8, 0xa786b844, 0xe665d2ae, 0xc83fc335, 0xe359181e, 0x5a776a2c, 0xb5b121fe,
+    0x96919e63, 0x9b8a22bf, 0x02b280ab, 0xfccc2183, 0x3dabd7cf, 0x6a1828cf, 0x6d52b8b7, 0x4796cd80,
+    0xecb36750, 0xd8462fcb, 0x37d63982, 0xa4f7cc75, 0xa6d8a9cd, 0xf76a4ba7, 0x170e55f9, 0x9676797a,
+    0xe579921c, 0x8b867450, 0x4f2c28e5, 0xefcafd6c, 0xe453118d, 0x3daa40c2, 0x686778f5, 0x485822be,
+    0xfd552af8, 0x77a64983, 0xfccd2680, 0xbee2ab48, 0x4b4e4cf6, 0x217385c0, 0xe5722c98, 0x5c2a5327,
+    0x15b15a14, 0x6f854d05, 0x714b3471, 0xff409a4a, 0xb201cb43, 0xf1fc7f52, 0xadab302a, 0xe3b66e44,
+    0x07a182f3, 0x5070f56f, 0xf4d3f57f, 0x19ea09ce, 0xca6e0ecb, 0x06de00f8, 0xe30b949c, 0x7ead63d6,
+    0x2919d9b5, 0x1338043d, 0xa7fd8abd, 0xe72eac09, 0x51c331e3, 0x281e7f92, 0x85e23202, 0x1b74942f,
+    0x34de03c2, 0x4376e627, 0x4baee8b4, 0x2759120a, 0x6e4aa786, 0x940871d7, 0x06b7844b, 0xbf73e68b,
+    0x5ce9b763, 0xb553a670, 0x075ddded, 0x5f6f4cb8, 0xac23548b, 0x90869b1d, 0x0c068d2b, 0xe76a32e7,
+    0xd63ad13d, 0x12d48cd5, 0xd159772f, 0x55d2655e, 0x80de8050, 0x43c2f03e, 0x6abd2a0d, 0x435bd73a,
+    0xf7826a74, 0x912ab88a, 0xf2cd3c24, 0x83bc7919, 0x6d77f597, 0x942bac8c, 0x4bb275e1, 0x0897b6f5,
+    0x2892e71f, 0x9c100da0, 0xb3cfc20c, 0x8fda6bd4, 0x31b5d79d, 0x2f83523f, 0xd342705c, 0x081a7867,
+    0xa19050d3, 0x3501c308, 0xa16ac83d, 0x6a86d1b7, 0x69312c0e, 0x2bb907ab, 0x68cdbbbd, 0xaaa34236,
+    0x36365d25, 0xd5c258cd, 0xebd65095, 0x87ab51f9, 0x6802d33b, 0x1a61a1de, 0x95840e29, 0x3b46a8d3,
+    0x023298bf, 0xba56d902, 0x8eb7ff93, 0x6a0aa182, 0xffd6900d, 0x173c972f, 0x67f6fcae, 0x9970ba04,
+    0x3d2a5d68, 0x93b4a0dc, 0x8f5c1540, 0x4482f624, 0x9291fdaa, 0xaf79f035, 0x956a2bab, 0x52e96c06,
+    0xbde21f85, 0x9109304e, 0x3370dba0, 0x5dc85b7f, 0x90289e77, 0x14bc90a4, 0x7ed3f8e7, 0xaa72b003,
+    0x16324d5f, 0x6d50a4ed, 0xc33eacc5, 0x36f2688f, 0xe49aed68, 0x717d9c0a, 0x2248c0e8, 0x84969043,
+    0xe989d0fe, 0xe7aebf8a, 0xb2d51b41, 0x99b310a1, 0x2412b266, 0x8b6afa1a, 0x32de06fc, 0x87473587,
+    0x42a43f66, 0xf7d779f2, 0xc19823a7, 0xe832b526, 0xe8d2b7cc, 0x62e9d8b3, 0x7b2e18ea, 0x1eb99397,
+    0xafa7aa6c, 0xcf82a483, 0xc3dc4987, 0x77bc49bc, 0xa1cbbbf7, 0xdb5f755f, 0x702f9af0, 0xfd5af622,
+    0x9bc97435, 0x93decb77, 0x73183c5f, 0x9bc29323, 0xae8745de, 0xb7865d2b, 0x917e8398, 0x3a5f3a49,
+    0xb0804962, 0x8dac5f80, 0xf1887673, 0x4c1fb2dc, 0xc56aab6a, 0x1de19cc2, 0x335c9669, 0xdf836b36,
+    0x43eb4f42, 0x4214d40f, 0x26b6904a, 0x8bd416ce, 0x528acadf, 0x45879bba, 0x1c8dd758, 0x92d03005,
+    0xf8f6c935, 0xfe8b2b1c, 0xb9aab89e, 0x20a022df, 0xb0775f4d, 0x37037f0d, 0xfe53937d, 0x5a78c8ad,
+    0x173c1825, 0x33c9f684, 0x26f9986b, 0x595b78cb, 0x1583f112, 0x33d42115, 0xa94ae575, 0xb96a3410,
+    0xcad2427c, 0xc07181ef, 0x38a0d4ca, 0x0ae73671, 0xcde7cab5, 0x6924d2a5, 0xc88ebdef, 0x355fcf58,
+    0x1c9d6a98, 0xc7afadc9, 0x53446e0c, 0x2cefef27, 0xa4a9e373, 0xe805ce45, 0x782e5b3f, 0xdc5e5356,
+    0x68d1339d, 0x2c106eeb, 0x05248633, 0x3db8ff8e, 0xd4595d89, 0x0c38a48e, 0xa9baf32a, 0xeefb7848,
+    0x485fe759, 0xe9267b40, 0x6ae3d9ca, 0x63cf7a19, 0xe5fd37e6, 0x0e693301, 0x39062eda, 0x6b0c45ab,
+    0x270d3cd9, 0xafbf4032, 0x5e146624, 0x3313972a, 0x15844f47, 0x68451c6a, 0x0f6270a3, 0xe5c49ddd,
+    0x52a33e03, 0x180aa60b, 0xda6c5a70, 0x446f2b3c, 0xa5396dbc, 0xfc9e46c7, 0x47481e46, 0xf16779b1,
+    0x4bbdf197, 0x8feac2d3, 0x63221627, 0x6ab50c8b, 0x0bf75bd4, 0x14c40326, 0xce2cdc65, 0x860fddb9,
+    0x7c22b17b, 0x91935ff1, 0xdb6402a6, 0xe6048663, 0x7dfc7fad, 0x76f6d72d, 0x83e5c8af, 0x2b3d7314,
+    0x40bdcec6, 0x47c8efc2, 0xf0186c81, 0x9c7c5ce1, 0x24f72fd1, 0x6d76140f, 0x6fc0a8fa, 0x9dd02899,
+    0xecc88da5, 0xbfb0ed48, 0x1b0e7c9d, 0x537479c8, 0xca3a08df, 0x654720c5, 0xb0d03755, 0xae2ff0c8,
+    0xf6bb3153, 0x4405dd32, 0xf4b9c6db, 0xb3c94031, 0xb439dde8, 0x3bfb04ba, 0x3a5a90c6, 0xaa9755e8,
+    0x0a16796f, 0xab08f437, 0x88c3dd0f, 0x58bdd097, 0x2e9d01f0, 0x1dc19789, 0x1f3f1708, 0xcb45ab62,
+    0xb5a616a2, 0x2228802d, 0xb92f24d0, 0x11dfb046, 0x81682d63, 0x136540b1, 0xbe84557c, 0xb3374df9,
+    0xa8d7511a, 0xabe54b02, 0xacbac3ae, 0x4012ce3b, 0x0bdb2701, 0xffc09ab3, 0x0f71682b, 0xbd520122,
+    0xa56363d2, 0xfa7fc853, 0x1e4d9b85, 0x500a68e3, 0x8a180492, 0x6a75cca6, 0x7f4cf0a9, 0x8ba32cbc,
+    0x814494cb, 0x210efaf0, 0x685350ba, 0x51bb3416, 0x4f2af129, 0x3a25d74a, 0x67735c2b, 0x319568b5,
+    0xbd14d91f, 0x375d95ff, 0xd7bfa69a, 0x1f0b6249, 0xf215de86, 0x221df672, 0x0346dbbb, 0x39f2b884,
+    0x19e88ff1, 0xf3f9778f, 0x09332a00, 0x4ab695c7, 0x44e0a6d0, 0xcee31854, 0xd8e6ec69, 0xf077e2b3,
+    0x658937ba, 0x8cf897c3, 0xd1c6d025, 0xb75f6b48, 0x931dff5d, 0x4f87060d, 0x27ba6274, 0xd05f4821,
+    0x2497bca9, 0xd9cab68f, 0x6f4390e8, 0x20e96a53, 0x3ccb1c9e, 0x4e91b0c5, 0xc7e8a4a9, 0xa4c9e2f6,
+    0xa17ecf8a, 0xcdf80fe1, 0xb2ff8979, 0x8923769a, 0x9e672584, 0x9fcc4002, 0x89170a8f, 0x098abf4a,
+    0xb244c2a8, 0xdac17f28, 0xa3e4d365, 0x80ca3358, 0x61ad8998, 0x16d38ccc, 0x70b26d26, 0xe57e96fb,
+    0x054b094d, 0x0155447d, 0x9837d3e8, 0xd50a21c7, 0xdd2ec631, 0x3659b494, 0xdaa5e7e8, 0x980741eb,
+    0x559fb309, 0x91c98717, 0x777bbaca, 0x5097b6bc, 0xbf5c4ee5, 0x3636c01d, 0xc8fe095f, 0x179d92ab,
+    0xc5899d20, 0x41ed1ec2, 0xb4bc2ee3, 0x6afb11b2, 0xf01f187e, 0x268d45ef, 0x336008e5, 0x8d7ddb06,
+    0x1dc93e9d, 0xae30ead4, 0x09c1a39a, 0xba7ac93f, 0x05127f5e, 0xf81169bf, 0x29d2df9d, 0x950aa181,
+    0x26b47ce4, 0xfde234d8, 0x364a19db, 0x8c81014c, 0xe410a4fb, 0x2012eaa3, 0x1753bfd0, 0x1f2d811a,
+    0x43d23022, 0xd9a6a578, 0x6f2a05c0, 0x55324f82, 0x454ce18a, 0xe69af720, 0x03c8a464, 0x3eb8ee0e,
+    0xab61452c, 0x22fc143a, 0x75beeda9, 0xf5ace973, 0x8fe4166a, 0xf7c6a7d5, 0x8efdc82a, 0xcf530d33,
+    0xab0cc649, 0xa35505cc, 0x156f293e, 0x61278876, 0x29dc971d, 0x9b64cf3f, 0x6b5fc093, 0xe0cbdb7e,
+    0x05beb435, 0x49214d86, 0xd31946bf, 0x9db1366d, 0xed1829e6, 0x59896e63, 0x235466b6, 0x6c3ab80a,
+    0x29abbea4, 0x173f4732, 0x0b346f8d, 0xc38d3b5c, 0x6fdd8bed, 0x979ae910, 0x29d96b79, 0x9cf8a6f9,
+    0x5ecd3ea9, 0x72b15492, 0xa6e0d94e, 0x76239d53, 0xe30c2023, 0xaccba69f, 0xff882e5c, 0x142a1bb7,
+    0x74773822, 0xeb25e7e2, 0x546dbd74, 0x71b5dc32, 0x5cb5c299, 0x37c3c0fc, 0x0e3f574c, 0x80e33878,
+    0x6e405231, 0x477098ca, 0xce69beaf, 0xa1fba73b, 0xc962ea49, 0xed9bdaba, 0xe1cbae3d, 0xc4f0aef7,
+    0xed57043b, 0x01cfef28, 0x168d323e, 0x8e82a5e6, 0xe31502cf, 0x6f7e8a5e, 0x31a88796, 0x96285c46,
+    0x7ab72801, 0x53980537, 0x0801dfb8, 0xaaa379ad, 0x2b143f71, 0x172a43fe, 0x5f689c3f, 0x5a2541dd,
+    0xa326937e, 0xc04fcbaa, 0x0c59b288, 0x830da1fe, 0xeb608a9e, 0xe94df2da, 0x4c0912f4, 0x76991e84,
+    0x02d7a919, 0x2cf8e423, 0xf8f886de, 0x884162b3, 0x5ae7b4f6, 0xa14dee00, 0x19f5ff46, 0x9f381acb,
+    0xdcfcdb56, 0xb6c75f70, 0xaf8895ca, 0x8b2a82e9, 0x5b0f0f47, 0xfbba46d7, 0xf40f6834, 0xf0f98f53,
+    0x52eac9e8, 0xfcb489f0, 0x31cded41, 0x109d9970, 0x0eb0bb40, 0xe6fd6a4b, 0x31d90d3a, 0xc9c7ff90,
+    0x509c85b2, 0xaffda4e8, 0xfa67a46d, 0xe412e3cb, 0x7c2dc9f1, 0xd52c62ee, 0xb39aeea9, 0x45c8f0c6,
+    0xa7d7e8c9, 0x76e9c694, 0x8b4f7037, 0x1d0b3d5d, 0x972f1fc3, 0x6232352c, 0x3007ca18, 0xc7343879,
+    0x00000000,
+    0xa11b7fa8, 0x2f429ebc, 0xb41549c5, 0xae0c5c1d, 0xaf021622, 0x87a62f99, 0x9537f7d1, 0xc52b16e4,
+    0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000001732918558825509287236508865089427314647773172109885\
+                          35948154973788413831737851601439998400381508723631086950685087723239310884864 */
+  { 0x00000000,
+    0xf65ae0b7, 0xe003d2a8, 0x92bf39cf, 0x1061da45, 0xba64d2f3, 0x7a39a4c9, 0x14920467, 0x59ddadab,
+    0x19d86f93, 0x76286aab, 0xec3fdd12, 0x1be1c398, 0x34525c5a, 0xab1e9123, 0xadab2186, 0x4bf58c50,
+    0xeb77fff9, 0xc19e66b0, 0xc91cbdac, 0x0372da79, 0x7b68d700, 0x611d2610, 0xa34252b0, 0x54e184b0,
+    0xa8bfecc4, 0xaec39c43, 0xc5c37559, 0xa2b41aaf, 0xd2707d67, 0x27b2198c, 0xb2dae993, 0x312eb627,
+    0xa96226e6, 0xc1b17a88, 0xcdb0078f, 0x306b50c3, 0xbcbfa8f6, 0x660fff6a, 0xda5ddc2c, 0x6a645183,
+    0x4d7cd8b6, 0x67c73c3e, 0x379c29af, 0x2d9cc193, 0x3bc03b5a, 0xa3c9bc92, 0xe4b16e96, 0xf7b3eab0,
+    0xb3e46d06, 0xfdbd618a, 0xd93f5cf5, 0xaf07e782, 0x77a8433a, 0x505a5293, 0x71520a7f, 0x463c2786,
+    0xf5fb01ee, 0x8392c9b2, 0x4afa1ecc, 0xa18bad4f, 0xb3969d03, 0x9e25d609, 0x62b4c835, 0x1ac89d6b,
+    0x0dfddebe, 0xcb018bb4, 0x587172f6, 0xf4dd421b, 0xb03c9374, 0xd5c82758, 0xb3180b67, 0x9b39effc,
+    0x38dc7dc0, 0x97294c37, 0x913514a8, 0x40806b92, 0x95ba5aef, 0x1420ce90, 0xe701d154, 0x91cca35c,
+    0x948e1ff6, 0xf715d85a, 0x8ec89d84, 0x2bb286e2, 0x9ce73e28, 0x244eacfc, 0x22a0a46d, 0x8252a15c,
+    0xa4750fb9, 0xfb3b7d6f, 0xff3f6b8d, 0x3a2da186, 0xf6e98859, 0x2765a4b3, 0x0168e325, 0x21cf2506,
+    0xf6c2cdf9, 0xf283b729, 0xa0633b6e, 0x8dec44d2, 0xa4646583, 0x272df11d, 0x5479c4e2, 0x4acf75e5,
+    0x1b329629, 0xde973caa, 0x05975454, 0xe9ddd0da, 0x39ba2f19, 0x74e88de1, 0xd04f714e, 0xe93b9cd5,
+    0xda1b5295, 0x2a5da5af, 0x52df4bdf, 0x36b1e603, 0xdd0980bc, 0x2fe4299a, 0x5d5390d4, 0x53cec2a2,
+    0xe02ee7ab, 0x20389d52, 0x6c5f8e94, 0x30483b26, 0x2ee26cba, 0xb0d2324e, 0xead97445, 0x0f6cb4e7,
+    0x33e3c7b6, 0x314bfd74, 0xd7358700, 0x0f9e8a01, 0xda9882b0, 0xe36f91dd, 0x7d2fa709, 0xd08852bc,
+    0x6af808b8, 0x6cea28ff, 0x04528c07, 0xc32775a0, 0x9ef8d2cc, 0xb03e46b4, 0x3fcaf928, 0xd4f7ef2f,
+    0xd2f84661, 0xcf93c1d9, 0x13f10e5f, 0xd2ed89b8, 0x44d0ed06, 0x7053d7c1, 0xfb273367, 0x2aa22ba7,
+    0xd7a04001, 0x6ef0867d, 0xee8fa6d0, 0x24ca50fa, 0x598209b0, 0x204bae2e, 0x007b6511, 0x2f7912da,
+    0x39204898, 0x61b8b972, 0xc57a8b45, 0x41af194e, 0x38c7a485, 0x09218ab8, 0x00703531, 0x6b5ea013,
+    0x426980fc, 0xcbdb1cea, 0xd7554c65, 0xd3afd357, 0x1578cc0f, 0x254ea622, 0x3180035c, 0xde5ebab1,
+    0xc7b0112d, 0x6f26b6d4, 0x43c6061c, 0x0a03f196, 0x5bc3f4da, 0x7747d934, 0x929f8ac5, 0x7866608e,
+    0x106c3de1, 0xdd7a90fb, 0x6849aaa4, 0x679001d6, 0x0cf1e131, 0x11cddd64, 0xd211c828, 0xdd099e1b,
+    0xfda11c68, 0xebf93d3e, 0xcfa5fe7a, 0xbfa43f43, 0x86956c11, 0x836dda97, 0x73f7b404, 0x7552413a,
+    0x0a48ebf2, 0x928c5503, 0x2c798c14, 0xabdc6a93, 0xd46a78fb, 0x2032057b, 0x5421e437, 0x48aeb563,
+    0x20103d1d, 0x815fc932, 0x4fbd6dae, 0x5ac69139, 0x08d5274f, 0xc12a5417, 0xf0dc14aa, 0x11e13589,
+    0xe2caf62f, 0x123a55dd, 0x3129362c, 0x08614d66, 0xdfd366a2, 0x69851418, 0x5f3408fc, 0x2ca8dbeb,
+    0x42499e51, 0x101c4866, 0x62974940, 0xc16f534a, 0x412a84be, 0x3189189e, 0x13db6ee0, 0x84ae61bb,
+    0x4c076904, 0x4d95c7d8, 0x9ac2f2d7, 0xb66093d1, 0xa39d98d8, 0x1f10c9ab, 0x838c3f85, 0xf47490fb,
+    0xc1a091d9, 0x30c776a5, 0xf41a9920, 0x56aa7fe4, 0x04d5d54f, 0x682d434b, 0x5d5c05eb, 0x55ca8e81,
+    0x39a79e19, 0xa6751f71, 0x8d53d99a, 0x45a20cb1, 0xbaada992, 0x35f52fa9, 0x8c2f45ea, 0x32eeb020,
+    0x68306522, 0xd164f238, 0x118efad2, 0xbbb1184b, 0xabb86234, 0x672ea185, 0xf0d5bce5, 0x7547412b,
+    0x3ce4333c, 0xe4ec9a1f, 0x0a7c9a05, 0xbacfa71b, 0x27ff5df1, 0x4a58d6f3, 0x02b8fadf, 0x891c0211,
+    0xa38e437a, 0xf886ec54, 0x68b72d29, 0x8de005ca, 0x096805eb, 0xe3611723, 0x296c11ae, 0x7260ba9b,
+    0xc3cb8f42, 0xcd0c85ad, 0xc24f7819, 0x94ae2ba4, 0xd4da5aca, 0x9c84828d, 0xb18b6ab4, 0xeb50f1db,
+    0x4591fd30, 0x8204b8e5, 0x3ad2b676, 0xaffac34d, 0x2673ee83, 0x94fd25ef, 0x4bc753ee, 0x7d78c70e,
+    0xbe605c3d, 0x9a6df23d, 0xe662c5bc, 0x5c2653b3, 0x75c6b644, 0xa7b2aed5, 0x5eadd0e5, 0x2bccbbf6,
+    0x84a01ebe, 0x2ed81f92, 0xe05d2230, 0x5ba0a815, 0x2e69c3d1, 0xd14ae3d0, 0x8cdb52ed, 0xcf03adb4,
+    0x83f48adc, 0x95ac3b0b, 0xccbf846b, 0x76867ee8, 0xbf5c9325, 0x2ca83181, 0x8be16295, 0x5167f9e6,
+    0xe0f47a68, 0x210f4044, 0x53027421, 0x9d5a2554, 0x9fd29216, 0x636bd372, 0x835953de, 0xe02bba9d,
+    0xebc91680, 0x93001853, 0xa162fd9a, 0x8f8db91e, 0x94206abe, 0xa7a7ddb1, 0x9140c2d8, 0xea6d1444,
+    0x0bf95f71, 0xfa60880d, 0xa6a6120e, 0x8e6ebf03, 0x545d08bc, 0xb367ab7b, 0x2cce1ff1, 0x3d8feb73,
+    0x08ea3ae3, 0xa00c3fab, 0x44a35ea8, 0x196da130, 0x6c71d637, 0x2ccbf1b3, 0x9a0a30ad, 0x2f5e4bab,
+    0xd6dfab9b, 0xb262d20f, 0xa2920404, 0x2570ce34, 0xeeda096b, 0x40b790d5, 0x8cba5c8e, 0x6f219e79,
+    0xe78a9f94, 0xc18c9400, 0x1948a1e1, 0xedbf7c9e, 0x97e52e4c, 0x4bd89561, 0x81a4fce9, 0x01a71aae,
+    0xc692034f, 0x3967970f, 0xd49ee255, 0xb9f88f68, 0xbe75964e, 0x8b63789e, 0xda500c51, 0x81966fa4,
+    0x481e53b6, 0x271f3917, 0xb1320440, 0x5f9975a2, 0x85b8c961, 0x3508e3a2, 0x70b6ac99, 0x1ec2d340,
+    0xeb9e4231, 0xc0e93d89, 0x0b648980, 0xf08e8c28, 0x6e43029e, 0xa55b74f9, 0x8a70ae54, 0xf848f9cf,
+    0x14bd94f5, 0x3579963b, 0xf77df266, 0x7d5514a3, 0x3b0d3e57, 0x05e33263, 0x40431762, 0x69a22d7a,
+    0x929e2a20, 0x7db1b16a, 0x2eeb9a64, 0xff8cffb3, 0x66c61ac0, 0xeffd1b52, 0x286f6525, 0x3bfb09cd,
+    0xd43299ff, 0x0521da18, 0x658b0d66, 0x2d3b72be, 0xa189d383, 0xd4233021, 0xc4b84fca, 0xcb16d3a5,
+    0x6e4b0631, 0xf7f141da, 0x35cdea93, 0x667d05c3, 0xb2c82288, 0xf0180990, 0xb3347b89, 0x94ad70ec,
+    0xe8dcfe59, 0x3a743988, 0xf943cfd4, 0x5824632e, 0x3dd86a64, 0x5ebd0ed8, 0xbe370108, 0x2f747ad1,
+    0x71d2bdd8, 0x16686939, 0x37f4d05f, 0x1e1f591a, 0x3fc94e92, 0xcdcca435, 0x5bf8880b, 0x4d7c3d72,
+    0xa4a1e533, 0x7e43f8dd, 0x71cf6b29, 0x969c5a68, 0x33da1ea7, 0x8a01b11e, 0x38c83674, 0xac32cddf,
+    0xf5c935d3, 0xa675a226, 0x302df36c, 0xf8bc882e, 0x21998e8b, 0x96032452, 0x1ba08cb2, 0xcc827343,
+    0x9b59e9a0, 0x395375a8, 0xad381e65, 0xa30bf3b0, 0x91323d8a, 0xa618699e, 0xf8a100f5, 0xbe32cb54,
+    0xdd5a4541, 0x70d37899, 0x52f59a2d, 0x6766ac15, 0xd4831b57, 0xcb577c54, 0x3f15a890, 0x73de07bf,
+    0x103c6e25, 0xbeb9c9e7, 0x144991cf, 0x5faf72ed, 0xc2c966b2, 0x028244ec, 0xc16a98b3, 0x1725dfc1,
+    0x41ffb7be, 0xa6b93908, 0x6190c52c, 0xcf9eaf69, 0x2bf2c9d4, 0x77d91755, 0x373fc82f, 0xdf199345,
+    0x6bc8f06b, 0xbc13270f, 0x99ce66af, 0xaa3e77b5, 0x730ec3f8, 0x868da5ff, 0x04fa4029, 0xb8c78c23,
+    0x440066e2, 0xa525433d, 0x5c46b192, 0xe89bc4c2, 0x8ef6985c, 0xeeddd0ab, 0x9936992b, 0xc9b0d82e,
+    0x8a4473a1, 0x3b21f9e5, 0x46ea3c41, 0x5734ed73, 0x99bd67d0, 0x7d6ac2c0, 0xafccfc49, 0xe6ddfba2,
+    0x47ff5716, 0xb49ed7f6, 0x094e8be9, 0x706d6300, 0xa9944be1, 0x6df17faf, 0x62dfb01e, 0xa29a3b32,
+    0x95bbe739, 0x80dcf653, 0xcc3c9bc2, 0xe133807f, 0xaedc0571, 0x744726be, 0xaf121dc4, 0x8b83a096,
+    0x144874fc, 0x56f8007a, 0xb846e434, 0xb7472ecd, 0x3740b8f2, 0xf633e60e, 0x2da92bfb, 0xda1ff031,
+    0xff490323, 0xbb41c1c9, 0xfc29af75, 0xd17c77ab, 0x2d596912, 0x8fd10ed2, 0x48ad11db, 0x14dbefd9,
+    0x0f97d8d3, 0xdcc8d7d3, 0x65d0e524, 0x2411834e, 0x6614ef2f, 0x8d8930e2, 0xd3aba9eb, 0xfbfc0055,
+    0xb06bb6b2, 0x1955b688, 0x393fb115, 0xb3bca7a1, 0x6752fec2, 0x99b1da60, 0x33631ed2, 0xebe117e8,
+    0x6b579008, 0xc5e6559c, 0xdba60da6, 0xe0bc11a2, 0x3801c6d8, 0xca2f638c, 0xe4511b53, 0x177610e1,
+    0xbf4f35e0, 0xa4e50df0, 0xd7bb97d8, 0xb12bda02, 0xf08b9e04, 0xc9ae9e11, 0xe6bb5763, 0xfe2e0acd,
+    0x38f2db78, 0x652c5182, 0x9a5d8876, 0x83482155, 0x9f3426d1, 0x22b86090, 0x65318ae7, 0xbed2a220,
+    0x32fd000d, 0xae051e90, 0xc501b817, 0x122e84fd, 0x3cd65516, 0x54eff350, 0x77c590fe, 0x5b231e05,
+    0x9587dcb5, 0x4f2d8e91, 0xa5e83ed7, 0x84b01692, 0x12e6dfcb, 0x278d80a8, 0x47ac1287, 0xba607efa,
+    0x60ea1639, 0xf65fbb65, 0x02789530, 0x8a5ef94e, 0x26710144, 0xb88a5663, 0xdf0e029e, 0x4fb11281,
+    0x798dde45, 0xc77ec3cd, 0xb4d5f8bb, 0xa65045be, 0x8d38826b, 0x8fac7dbf, 0xe2c0169b, 0x37cabe81,
+    0x57aaf237, 0x51aebfdb, 0xbb7f0902, 0xd48c1e74, 0xf44c6c91, 0xdf0acbb0, 0x7b6efb9e, 0x7c7d34ed,
+    0x790f744c, 0xc6d69786, 0x1c0f9b09, 0x278e3294, 0x65140cac, 0xd01151de, 0x2b4eb77c, 0x8b973f61,
+    0x02a736e9, 0x46011047, 0x85f0cf31, 0x95218280, 0x184f832f, 0x81de167f, 0x2cd20889, 0x90741051,
+    0x95b8d3e5, 0x575b51d6, 0x7b4c4e33, 0x4cc37a4b, 0x0c92d9ab, 0x1feb649f, 0xac319c01, 0x358d2f70,
+    0xf943fe94, 0x40acc684, 0xdd4ddc44, 0x2c7a9eec, 0x9692d166, 0x2c5a1feb, 0xd7eb6218, 0x29b98187,
+    0x321c6e6d, 0xa219ab2a, 0xafef042d, 0x5ec69269, 0xe8de1c5c, 0x663868ef, 0xa689692e, 0x790acec9,
+    0x808f9e67, 0xe6446e66, 0xdee3e38d, 0xa74b65a8, 0xce8b0663, 0x44082414, 0xdc056d2b, 0xebd2de74,
+    0x7c95ca0c, 0xe817d5b9, 0xeb74254d, 0x04c5e5c6, 0x025c432c, 0x7762e361, 0x5425685e, 0x4a3ad5a1,
+    0x6ffbec7b, 0x3b39c40a, 0x7ca5bc91, 0xc66f77db, 0xa57defbb, 0xd39c8ff1, 0x0d1a03f6, 0xab247523,
+    0x24911eb9, 0x32897515, 0xdb9c5759, 0xf6af914e, 0x7c34107f, 0x06a95bde, 0xdb4ce73d, 0x485ff29a,
+    0x5a3d600e, 0x6355319f, 0xecf27401, 0x0445ecaf, 0x0bacc89f, 0x5792bacb, 0xc6cd35c9, 0x77f9ef60,
+    0xfa021d49, 0x4ff3020c, 0xdcb3bee2, 0xc128f029, 0xa750e940, 0x14d0a1b0, 0x4d926e7f, 0x99b81e17,
+    0x46570168, 0xfea5b1ec, 0xe6348014, 0x97ac01c4, 0xd7c12cbb, 0x75f02222, 0x46e015ad, 0xa2f3689d,
+    0x7dbc3275, 0x50610a68, 0xafae609b, 0x6db5d787, 0x93efcb9f, 0xb43dd198, 0xdbbd21a3, 0xc6843d71,
+    0x036b5598, 0xdbc83a35, 0xf57a2f20, 0x04a1c1a9, 0x029fb048, 0xe4161ba7, 0xbe2c2d94, 0x527c77db,
+    0x2124b6a8, 0x25495a19, 0xb62b1365, 0x45898d1a, 0xa13db7c4, 0xf95d1431, 0x80e0eff2, 0x67001f72,
+    0x909f4bc9, 0x0856c9c4, 0xb1baee44, 0x595f258f, 0x56310de3, 0xa547dd04, 0x81dd8fd7, 0x7842b97f,
+    0x993bc1b8, 0x6ba722db, 0x4790df8e, 0xc6e18d6f, 0x33bd5812, 0x4fb2cc9f, 0x87c91a2f, 0x7ef5ec8d,
+    0xa70b2470, 0xea928d6f, 0x4711a78b, 0x11aeba69, 0xe6bd6744, 0x18d542c1, 0xc8f33d2b, 0x6f00b497,
+    0x87b115b9, 0xe0f50b8b, 0x09f71200, 0x5c7939dd, 0xd629af08, 0x45cea911, 0xa066bb2e, 0xf2df7c5f,
+    0x766e4ac2, 0xdf7b2ee4, 0x704e1053, 0x9433c3fb, 0x7d654951, 0x3d3af921, 0x4d3ba5cb, 0x19c9a025,
+    0x510ed289, 0x4bb299a1, 0xf578309a, 0x34c65de0, 0xb0c0e1bb, 0x7797d82a, 0x45022234, 0x9627fb17,
+    0xcf2d80f1, 0x45cd69dc, 0x3063d1d6, 0xdb233476, 0x819a680c, 0x8e9581a6, 0x05df2224, 0x48aa24e9,
+    0x90812959, 0x8c3852c3, 0x844e0359, 0xe894a79c, 0x39033cb9, 0x3ce79923, 0x0c26949d, 0xe4fabd3e,
+    0x80f743ff, 0xa78ab573, 0x7b27c5fe, 0x78f98e91, 0x95c404e1, 0x0c369d0d, 0x18bba25d, 0x9c61d4c3,
+    0x661a31cc, 0xf6d9a1f8, 0x140da8a9, 0x5ec30652, 0x0cf5bc3d, 0xc8b7aa2b, 0x3d65cbf9, 0x3569a006,
+    0xe177c4f0, 0x47443617, 0x275bee51, 0xd34c49d6, 0x94531629, 0x3f7f47b7, 0xe207d56a, 0x11dbd543,
+    0x84bbf187, 0xb6884a15, 0x01999b45, 0xf976f2df, 0x2fbd5cd2, 0x838b3ddb, 0xc527b34f, 0xe27f75e9,
+    0x1762e535, 0x12c5570f, 0x5e3bd5e6, 0x1281d5af, 0x8b3e466b, 0xde810f3d, 0xf6bf64ef, 0x85fa20ea,
+    0xd67ba4b5, 0x9843ddd2, 0x534fac2b, 0x67f09c4e, 0x9fc9e4e1, 0x46358fb4, 0x2be9d27b, 0x3f91f0aa,
+    0x78d135fc, 0xe221b1fe, 0xf5d1b299, 0x3c735792, 0xed61948c, 0x90d84c81, 0xec967aeb, 0xec2e039f,
+    0xcaf8ef1b, 0x84713b77, 0xde6d58ae, 0xe3cd153f, 0x0759306c, 0xd54c775e, 0x1b699f68, 0x6862c490,
+    0x1519f2a2, 0xcb319a8b, 0x7b9d4596, 0x0ea61330, 0xb9ab9cf0, 0x88344c03, 0x2b8523fb, 0xc156ab36,
+    0xef4b9087, 0x0b0faf11, 0xe75bd550, 0xaa532719, 0x53b1bdc0, 0x9e4f279e, 0xb8fa3c89, 0x00237614,
+    0x36fd7dfa, 0x83d00415, 0xdc00c533, 0x4f8b478c, 0x1ca2062f, 0x2c068085, 0xe5f57a6e, 0xf1b89877,
+    0xee217d59, 0x1d235504, 0x2bfef719, 0x14e42ffb, 0x14f6f600, 0xa91a3a9d, 0xa8d034df, 0xaaebbbfd,
+    0x766f37e3, 0x014c9759, 0xf96919cf, 0x698bed38, 0xd125733e, 0xd6d875da, 0x2b619c75, 0x691d0084,
+    0x0170cf8a, 0x141006c4, 0x1cb0482c, 0xf1b5abb0, 0xa9763464, 0x00c210ed, 0x23d0d0e8, 0xa6f71e05,
+    0x64f3d803, 0x34fffae6, 0x86d71dba, 0xf24c729c, 0x4f5b5aeb, 0x47b30e4f, 0x52f6e040, 0xe52f08d3,
+    0x2efd3218, 0x85540c2d, 0x80f6ccb3, 0xdb02c877, 0x3d6a175d, 0x37aae32f, 0xb497e29a, 0xb887613a,
+    0xaa24e091, 0xa659e611, 0xa48998ed, 0xd13b05b0, 0x3490fc2c, 0x073cbce3, 0x74290ff1, 0xf4c15f3d,
+    0x664f18b9, 0x63d13c35, 0x2233be80, 0x0582372b, 0x01e81a50, 0xca2458b2, 0xb46d7b52, 0x8ad204fd,
+    0xa67047c5, 0xdeef94ea, 0xa2a31593, 0xf85d39f6, 0x4d622892, 0x3f334fdf, 0x8858ee38, 0xc7c05d15,
+    0xebaa2564, 0xc2409667, 0x3af38500, 0xba5668e8, 0xcd0a9412, 0xf4ec819c, 0x30c9104e, 0xb6928bb9,
+    0x6616cd61, 0x15b4052a, 0x3ff05314, 0xad81b88d, 0xef10a8ee, 0x470b2676, 0xe5c51bd5, 0xd63b627c,
+    0xf54bb7d0, 0x55633346, 0x7fca67d4, 0x2922331a, 0xd0f36bf3, 0x1b77d8e6, 0xe7179813, 0x02259e80,
+    0x11440227, 0x29d42209, 0xba31ce0d, 0xa4c9305a, 0xe5af2a4b, 0xb02e924d, 0x461ebbf1, 0xdaa7f4d7,
+    0x17c7f816, 0xd7ca7579, 0x24013e29, 0xc670daad, 0x906c92d3, 0x875c8edd, 0x3e9a0055, 0x1c2d28f6,
+    0xa2c8e714, 0xc59ba84a, 0xe5c8d962, 0x91e17033, 0xc17427ee, 0x2da8eaf1, 0x22944d68, 0xe1d2cc2c,
+    0x00000000,
+    0x508dbfd3, 0x97a14f5e, 0xda0aa4e2, 0x57062e0e, 0xd7810b11, 0xc3d317cc, 0x4a9bfbe8, 0x62958b72,
+    0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000866459279412754643618254432544713657323886586054942\
+                          67974077486894206915868925800719999200190754361815543475342543861619655442432 */
+  { 0x00000000,
+    0xc3dbd623, 0x550a3eee, 0x54c86d81, 0x9e0253ff, 0x8b695dca, 0x77b57c71, 0x2ea38caf, 0x250baa03,
+    0xf47c2176, 0xd7594237, 0x01796774, 0x61028c31, 0xc6d306e1, 0xcf727fd2, 0x115150ea, 0x66d4067b,
+    0x127dbed1, 0x5bcee166, 0xf5178eae, 0x6cc414c6, 0xae9ac8ec, 0xd116546a, 0xc73ff3b4, 0xc3f30e7b,
+    0x4f73f738, 0x50ed697c, 0xf3730f34, 0xc52d7ef3, 0x272c0336, 0x99721002, 0xafdd1e49, 0x5c38ce6c,
+    0x4aed8045, 0xfc5462c5, 0xfb935212, 0x8ef667fe, 0x6489899c, 0x74e94589, 0xd8c5c476, 0xafc1f2a9,
+    0x88c823a0, 0xc3eac530, 0x5d87dfa7, 0xd4cdccae, 0x22667363, 0xecd5755e, 0x0ec3d5b7, 0x9109675e,
+    0x66636845, 0xbcaeab38, 0xb292957d, 0xf6779bef, 0x2407f213, 0x7219af9e, 0x7ecdf7b8, 0x3ec08b55,
+    0xdabc6db3, 0x6ec444c3, 0xdea16992, 0x26f0fdc2, 0x7a9650ae, 0x647960f3, 0xa3dc00b1, 0x95a27b8d,
+    0xd009376c, 0x2368f7b4, 0x7b576341, 0x080b1129, 0xd7bd9351, 0x2283d55e, 0xeeaa389d, 0xd8f2fc6c,
+    0x0a426025, 0xde6e4b34, 0x3bfdd8b5, 0x67683bd3, 0xcc30fe2c, 0x33a1b9b3, 0x6ecd5a56, 0xb0732817,
+    0xcd58faf9, 0x2f5cdf21, 0x83675a1c, 0x5cb75907, 0x4f987a0a, 0x42a5add5, 0x62d18ee1, 0x73e79f49,
+    0xd525841e, 0x3fccb990, 0xf4ad0889, 0xe395dff7, 0x46c6577e, 0xa54096be, 0xe3b9bf63, 0x2fa3ca4e,
+    0x414e7f9a, 0x24d2d1a8, 0x1909132a, 0x1c8125d4, 0xc7866708, 0xa20c0a0c, 0xc57a8d88, 0xfdbd8387,
+    0x9e945f61, 0x2969914d, 0xdc4f0f73, 0xf175508b, 0xa11d2ddf, 0x9b313c90, 0x1ee13e49, 0x9dc55bed,
+    0x34b73699, 0x56549b34, 0x4f2a2f22, 0x0dccc742, 0xe47e3393, 0xe0608f0d, 0x682b34b8, 0x169ecd1b,
+    0x64b71e55, 0x53a7a588, 0x04cf3da2, 0x937089d5, 0x43dc1b6d, 0xdabedc6f, 0xf4fbbace, 0x4db1c857,
+    0xe1d9507c, 0x22183035, 0x3f83879a, 0x2bb84347, 0xe0f08d49, 0x1426e9b1, 0x722962bf, 0xe40d8519,
+    0x28f6003b, 0x7fc41a6a, 0x24d3fee1, 0xdda1bec7, 0xe9f797ce, 0x7501aaac, 0x5877fe25, 0x27149839,
+    0x2282b4b9, 0x2d916da5, 0xfe1142af, 0xc23c2151, 0x5a06fc14, 0x73f5f6d1, 0x148941e6, 0xbd580cc5,
+    0xfbbf3fde, 0xb8878c26, 0x5c7b56b6, 0x5ad18705, 0x003cddcd, 0x33544587, 0x573343a2, 0x746eafd8,
+    0x409dc4ee, 0x8f51a6e4, 0xc1b2d959, 0xc72980d0, 0xf27b3f81, 0xd04acf05, 0xaeac51fd, 0x006eb2a5,
+    0x7bb29587, 0x7521b572, 0x97b6c7a8, 0x370eea72, 0x7f247a96, 0x9ca9d809, 0x4c9d5da1, 0x5cc285d9,
+    0x455698e3, 0xd85ba58d, 0xac9c6ca6, 0xce980139, 0xe4a77935, 0xc9c81565, 0x6b26044e, 0xc5fe5dd4,
+    0x5d9d1b81, 0x543d630b, 0x2f44bc7c, 0x3e3be193, 0x258fea4d, 0xaca34c06, 0x5d1419e7, 0x1f2a1703,
+    0xde6febd0, 0xe4274ffb, 0xc08263d1, 0x1da03907, 0x09af4e78, 0xa3b64e63, 0x8aec233b, 0x040e4e75,
+    0x359a50f9, 0x3644e595, 0x173a464a, 0x6becc3be, 0x44bcf983, 0x97f791cf, 0x589dad93, 0x1ca75277,
+    0x4a0d6b15, 0xd3218a32, 0x9f5379eb, 0xcca7a48d, 0xdb7a584d, 0xa757ca35, 0x6dc1f3d5, 0x8eac0c3d,
+    0xaa7c1ac4, 0xaa3e1e34, 0xccf0cf63, 0x7b7ded12, 0x436c2cd3, 0xc85bbd84, 0xdb28d45c, 0x59688f64,
+    0x5714b118, 0x9e103910, 0xa56377ad, 0x18257884, 0x7552a798, 0x01956ecf, 0x20d8f35c, 0xac8c67c8,
+    0xbadd81f5, 0xe3355a53, 0x07efdb96, 0xaeae772f, 0xc013767f, 0xbf11d273, 0xe97836d2, 0x537895af,
+    0x4bd32c93, 0x7f919bba, 0x6c4f1931, 0x18b9e16f, 0x8448a865, 0x38d5bb8d, 0x0d452eb4, 0xf4db7ce0,
+    0xe753da16, 0xa78e80ff, 0x7cd4f1a7, 0xae7f2268, 0xfcb4d4e6, 0xe69dcc10, 0x1a349159, 0xbaee532d,
+    0x6f8f842a, 0xd9ef8378, 0xd8e743f4, 0xbf14d073, 0xf9803dff, 0xef830f00, 0xcbf8188e, 0x36e4bfaa,
+    0xc45ae025, 0xd99fac6d, 0xebfbb783, 0x1fdcec74, 0xc357da5a, 0xcfe32669, 0x1c994329, 0x88ff0405,
+    0x0b8470b6, 0x7dcdd834, 0xa2cb0b30, 0x4b797364, 0x7dfb335b, 0x2b1f910d, 0xd907ee4b, 0x9ad3d60f,
+    0x30e29523, 0x3cec59a0, 0xb10733a5, 0xbe8e7424, 0x5ea8b184, 0x2276c229, 0x05670076, 0x7c038815,
+    0x243214a7, 0xc7bd3626, 0x8a0a568a, 0xd70e1984, 0xdc1c7950, 0x20f3e324, 0x812c6839, 0x3f081641,
+    0x86ed3008, 0xf1838b26, 0x0abfb39e, 0x5bfb0fa8, 0xe23a3c18, 0x8decf57d, 0x4130a720, 0xee202349,
+    0x82e853c3, 0x602db614, 0x338d66b6, 0xf6a31af1, 0x790c0fda, 0xee58380a, 0xaa9ed204, 0x0bc02d3a,
+    0xc141125d, 0x55bca0f9, 0xff1a4e95, 0xdb5cf2af, 0xa70e36ac, 0xf2823f62, 0xb067a936, 0x2e188f56,
+    0x319aa381, 0x4fad8b17, 0xd98849dd, 0x5e95dc86, 0x4b33a11a, 0x61b09154, 0xfe4dadac, 0xd666ab3e,
+    0x9546bfd8, 0x4ea1ade9, 0x6fad3d90, 0x955db268, 0x3cf4d12d, 0x7eb01bd7, 0xcb15689a, 0x20cab687,
+    0xae496133, 0x3915f879, 0xdffc7f52, 0x1dca8187, 0x5b94363a, 0x655f45c7, 0xaa914c29, 0x6fa9e0d9,
+    0x204e40ba, 0x607cfec5, 0x67b4c2ad, 0x6e4f241a, 0xf462f9be, 0x40ecd196, 0x10cf99c4, 0xc991fb8f,
+    0xec5a7f51, 0xc2d2ad16, 0xed1b89c5, 0x3bcb4a99, 0x7285e81e, 0xaaa80089, 0x0e0a42c4, 0x57bc4897,
+    0xb9a84708, 0x0cced0b2, 0x5e5ff9b2, 0x7741e44b, 0x3da06166, 0xb0f8d992, 0xe72f685d, 0x37a7ba23,
+    0x83f65b1d, 0xb4447d2b, 0x4b78b34d, 0x39f278c4, 0x2b852d4c, 0x3f877fb0, 0xd2bad56f, 0x32f34783,
+    0x0972a650, 0xee84a21d, 0xcdbebba5, 0xeabeb8c4, 0xe0652fc4, 0xd9ea3730, 0x88583a0a, 0x06cf279b,
+    0x2f940689, 0xca6b9243, 0x609ef785, 0x36a9d735, 0xa5fe3389, 0x184dae3c, 0x398ef6b5, 0x9eae81d2,
+    0xa2c26c69, 0xe42f9d72, 0xb6990560, 0x6003a124, 0x5a51b777, 0xcbeb27e4, 0xe7e14982, 0x9db0f547,
+    0x7f2fb607, 0x592b9d5a, 0x72722fa9, 0x45562a91, 0xd371aacf, 0x50c161cc, 0xedb35b4f, 0xf7100a58,
+    0x4b064f89, 0x104cceb9, 0xebc77dbc, 0x6f457fee, 0x4a1719f6, 0x37fdff98, 0x1eafffb0, 0x7df9640f,
+    0xc0992e44, 0x606d4428, 0xfc1a45cf, 0x37bac5fe, 0x688a485f, 0xcd1aeafe, 0xf5bdc037, 0x1b75ba6e,
+    0x9f9a3fb8, 0x841f9889, 0x74ee449d, 0x55a4df6b, 0xf4a0c2b7, 0x511b7dba, 0xfc6b76fc, 0xf7c219dc,
+    0x97de5cbe, 0xb943d654, 0xe9042d90, 0xc696533a, 0x0cf839c5, 0xcb7f5ae0, 0x83e2e94a, 0x8e21df62,
+    0x3c2e6dfe, 0x0b24f52a, 0x7e9edbc3, 0xc5c71777, 0x66e6a2c6, 0x287bb262, 0x4d11d157, 0x18943d74,
+    0x97e64a71, 0x47a7f4d8, 0x301c726c, 0xb527652c, 0x250f7758, 0x5cf242f0, 0xa2740003, 0x7c8d2b8e,
+    0xa496452d, 0xaa56c287, 0xd6e70b51, 0x70a9a593, 0x759f48e1, 0x3404525a, 0x54fecbc5, 0xd9e983af,
+    0xc2702ec3, 0x5b9b6322, 0xb324eeef, 0x1a4df162, 0xcffb7418, 0xc9b7120b, 0xaa61ea45, 0x2faa0e62,
+    0x066d5bab, 0x6cbc923c, 0x32e489ce, 0x72dfe8f0, 0x13fa4d81, 0x118d6fc9, 0x025493c6, 0x463890c7,
+    0xc259d388, 0x8c6b49e2, 0x513f1ae9, 0xc7307454, 0xe289efd0, 0xeed9be15, 0x9f502b5f, 0xfb8ccc78,
+    0x6176bf3a, 0x67fb4e48, 0x644e5527, 0xaade9d02, 0x46f26899, 0x57a82de1, 0xd40f1b64, 0x180b7698,
+    0xae1275c0, 0x16234a31, 0xe4308db6, 0x81c63547, 0xcddf020c, 0x0712d344, 0x16744c1f, 0xc151110d,
+    0x9284bad8, 0xde10807d, 0xac64bda9, 0xf4e905b2, 0x95f0962b, 0x521fa261, 0x16955ba9, 0xea668ecf,
+    0x55226101, 0xc6046adb, 0xdda707fc, 0x3aa5682f, 0x3ccb8dee, 0x7a56534f, 0x42288648, 0x66ddf082,
+    0xf510c474, 0xb9a6f733, 0xa9bf0d5f, 0xe956a283, 0x2b8ca853, 0xfd1ead07, 0xed1728ef, 0xcae8b4bb,
+    0x2446bcc3, 0x4674c75c, 0xa4d6183d, 0x87f0bafe, 0x45600071, 0x6630e990, 0x17cf2e58, 0xc4657287,
+    0x57855c67, 0x2884b818, 0x88af316e, 0xe1a8969f, 0xb7326dee, 0x367fc3e6, 0xbedae18a, 0x4ffb9ca2,
+    0x73f394b1, 0x321af597, 0xf082c8aa, 0x46df0812, 0xf54059d3, 0xca47d570, 0xff4d7720, 0xc249e96e,
+    0xd4226127, 0xcf948034, 0xd99c3844, 0x597eff03, 0x62218153, 0x3676e8e3, 0xbe667e4f, 0x94f5b4b5,
+    0x2ad01894, 0xafd712a9, 0x5aba7c01, 0x788027b0, 0x999d22f1, 0x5f1c6b0c, 0xc6a1bfbf, 0xf42eee07,
+    0x74f87e40, 0x6ce0a887, 0xea79c325, 0xdf75ba6e, 0xa7c7a732, 0xe8b9b389, 0x4091ac96, 0x6b83c777,
+    0xe9b40406, 0x0d78776d, 0x2a554052, 0x10d1a870, 0x0dabe005, 0x354d525d, 0x4154cff1, 0x94441878,
+    0xf96c445a, 0xb25fdd96, 0xc1572eb5, 0x873ae204, 0xd4bd8bd3, 0xe465a803, 0x4844562a, 0x0efc14a3,
+    0x704449bb, 0xf6afb504, 0x2699adff, 0x27044082, 0x5bb8577d, 0x0b55d2e7, 0x247fda29, 0x8359927f,
+    0xfa512c95, 0x2ecda497, 0x24f6feda, 0x51ddc43a, 0xbc9a29ec, 0x28c44674, 0x9f39e173, 0xbf3299f6,
+    0x3cf6bd33, 0xa5a9b6f0, 0x8901d88e, 0x29cbafc4, 0x98c55ea9, 0x7d412b7f, 0xbee292cb, 0x58a4bc60,
+    0x1fbfc184, 0xc36326fa, 0x2244dd3b, 0xe632ac4a, 0x9b1b5f7a, 0x4ec8f15b, 0x26c2e78e, 0x0fcd6f24,
+    0x25e4963d, 0xe9e93ec1, 0xaec3d8e6, 0xc9f31372, 0xb151f8b0, 0x22e4dcda, 0x4ff83e0e, 0xbbf71754,
+    0x25f5c278, 0x8f7c1141, 0xb0ccf558, 0xf818fdda, 0x5275c427, 0x5a56c1ca, 0xd7c08c03, 0x590cc981,
+    0x7fd3e319, 0x40e306b0, 0x5d2197d0, 0x8be4602e, 0x8814f296, 0x5637fb06, 0x4cf9095b, 0xfcc0ceda,
+    0x3808e45f, 0xb8fdc02d, 0x6e80c74b, 0x46a4b17e, 0x108b7a2b, 0xbadc010c, 0x8079cc6a, 0x716cac9e,
+    0xc6c46628, 0x1020992b, 0x6ed3d8e4, 0x6dc4e9ba, 0x8e7be1ff, 0xc222c274, 0x94f25d8f, 0xc2f9e2f3,
+    0xe1a59811, 0xd04ba702, 0x55ec97ea, 0x6fb8f4da, 0x71fa4e01, 0x0bad5cf2, 0x2b48f9d3, 0x01000975,
+    0xa4afbda6, 0xad8be074, 0xd1b3b6d6, 0xf9a5d3af, 0x92acab0d, 0x8bee31e8, 0xabef6a18, 0xb0dd2d36,
+    0x2a4c1fe9, 0xcbf88234, 0x7c78ccaa, 0x7a3544f3, 0xb17fde0e, 0x34580b11, 0x3176ffe6, 0x7155fa8d,
+    0x390b0e65, 0x713dca8a, 0x4315d2d8, 0xb14c1783, 0xbd2712da, 0x8a7af46c, 0xec16b69f, 0x1e39839d,
+    0xa728c5fb, 0xdcf7eb58, 0x995ab775, 0x509a639a, 0x3b6e5f8b, 0x7105db12, 0x35e80aaa, 0x5f1e5fcf,
+    0xa0f52ee3, 0x55706462, 0x92a5d403, 0x56fd8c3d, 0x9bbc9ba2, 0x05ac9c22, 0xdb079573, 0x0a2fa1c1,
+    0x25828880, 0x70c5054e, 0x663eb06d, 0xf19ece9e, 0xa0ea184f, 0x3e5f9be6, 0x39b4026a, 0xe03d84a1,
+    0x3eea642f, 0xe829e524, 0x754b4712, 0x43a1edde, 0x46faef3a, 0xa3c39175, 0x7298be7f, 0xb01d1e67,
+    0x0954ffd9, 0x569bcb3a, 0x40433226, 0x1440bb69, 0x2bb72980, 0xbf4ac051, 0x93b26b39, 0xc13e7866,
+    0x841ec4f0, 0xd4aa6b2f, 0x35a51282, 0x5bb85881, 0x071a7f26, 0x52e00926, 0x94ed9127, 0xcb3bfa17,
+    0xa7f13c7f, 0x800ad43b, 0x9a1c21a2, 0xa8da6a02, 0x29f15bd0, 0x12f770d7, 0xfd648abc, 0x92ef8775,
+    0xfeadf588, 0x975b22fa, 0x31dc2d00, 0xbecc68d6, 0x31366391, 0x5735ebb1, 0xde031fbc, 0x9cbb4868,
+    0x866542bb, 0x37c54a0e, 0x79041420, 0x6636accf, 0x2759f298, 0x3eb7d5e2, 0x40880e81, 0xf078c3c2,
+    0x3e560c28, 0xe9272341, 0x8cc7fbd9, 0x1a7c4de2, 0xe4d27ff4, 0x8c40a3dc, 0x6769471c, 0xa976cb77,
+    0xca08822e, 0x9316cc6d, 0xdc62257c, 0x14a2d559, 0x3beebef1, 0x29df2258, 0xdf512da4, 0xf529a934,
+    0xd8811fb9, 0x43215211, 0x18d49220, 0x6e2d9843, 0x3a8183af, 0x85e57b52, 0xc89ce9af, 0x2ebb2164,
+    0xfc415bfd, 0x749a00d4, 0x3be04e55, 0xed5d39b4, 0xe51fb3aa, 0x3cf1c3fb, 0x86582014, 0xb7c4ebf2,
+    0xfe55083a, 0x1b00bd1c, 0x9e0f563d, 0x6f3a4fa7, 0xf9bc476c, 0xc32a0b93, 0xd1656141, 0x82e53cde,
+    0x5dbf4b3c, 0xb38c8f3a, 0x2185257c, 0x64e57610, 0xa7d0a357, 0x14692d6c, 0xedb034c7, 0x460b7699,
+    0x4254c726, 0xfd1e1cf3, 0xad84ced2, 0xcb964e69, 0x4c3e1d1d, 0x2588e1eb, 0x78d216c1, 0x708fbefc,
+    0x711b82d6, 0x0921428f, 0x41dc9e81, 0x22e5e2b5, 0xc102315d, 0x46785da0, 0x830c38ce, 0x3f538eb7,
+    0x85cc2110, 0x36723311, 0x2a2b13b3, 0xc6598c54, 0xac031221, 0x65a89ef6, 0x65563797, 0x9bbbf943,
+    0x362ca55c, 0x5b0de56e, 0xb6a36819, 0xb19de665, 0xed07d984, 0x3cd0b4dd, 0x6a5e1076, 0xb780f6aa,
+    0xc9181299, 0xa50f93b5, 0x1d09df0e, 0x5478e929, 0x26367483, 0xb5798eea, 0xef6d8ba9, 0x959769e5,
+    0xab223d41, 0x1bc599ed, 0xe7cd1948, 0x12dc9b6b, 0x318b2046, 0xb241a61e, 0x12a30b35, 0xe7ae7d55,
+    0xe5809d04, 0xdcc06a9e, 0xfe7e3d0d, 0x4f49ceae, 0xe6e6ab49, 0xbfbb9624, 0xce97926f, 0xb808d8fa,
+    0x2b0e0098, 0x989c6483, 0x0e2cb4a5, 0x16e8cc5e, 0x1a2f41ce, 0xf8d940d5, 0xc38cecb1, 0x476a8804,
+    0x42cca2e7, 0xe219ad00, 0xf82b6b3e, 0x40188137, 0x14ecc4d0, 0x61b492a5, 0xb3ce06e8, 0x1dbe18f8,
+    0xaa39033d, 0x20620454, 0x5bd710b5, 0xbf0b1e7a, 0x184342d5, 0x11fc7ff6, 0x01968484, 0x1e7ab778,
+    0x751942ad, 0xe7ba70d8, 0x51157cc1, 0x48deb1af, 0xa0ffc946, 0x08ceaf69, 0x562598ad, 0x4e81e797,
+    0xdf152e60, 0xd7748e17, 0x58ea7970, 0x0db2c53a, 0x3e74d1e6, 0x59515880, 0x6e33d46f, 0x54890282,
+    0x141401d1, 0xd5a3428e, 0xf47854cf, 0xbb97a15b, 0x2f836884, 0xe73a93c2, 0xcb7576d4, 0x4444afc7,
+    0x81e9fb72, 0x91f399d4, 0xcf21e408, 0xc7d71105, 0x9f9f9174, 0xddc5d62c, 0x4b8fefdd, 0xc66249b9,
+    0xe1c3d137, 0x9c35280c, 0x6933f91f, 0xbd02ff4d, 0xb16b73dd, 0x64288f92, 0x53c6b9b1, 0x72e5df29,
+    0x8329a38a, 0xf7adb0b9, 0xe463317a, 0xcde3bf7b, 0xfa52f420, 0xf4a571c3, 0xb5e1faac, 0xbf8cf06b,
+    0x4f4e2071, 0xb036d851, 0x0c65d9f2, 0x0ddaa6f4, 0x1b550e1d, 0x04874776, 0xe57a110b, 0x19e7c03a,
+    0xc3c5aabf, 0x7e90f70f, 0x403d7e3d, 0x0a0f58aa, 0x78ba3643, 0x357da0f1, 0x493f25cf, 0x76f2a057,
+    0x76af1fcb, 0x9665bfdc, 0x0ddc830d, 0x6667d55b, 0xdcde7ab5, 0x2089f63f, 0x7e8f602b, 0xe15db932,
+    0xfb71f3c8, 0xc4205da1, 0x451ad50b, 0x12daaf16, 0x0d97ac28, 0x4995d3cb, 0xbcbe5769, 0x34ff67a6,
+    0xda646bc5, 0xc870880b, 0xe504aca7, 0x7680280b, 0x87fcc1e4, 0xae1e323b, 0x68220b59, 0xf9c7ecfd,
+    0x0a61ef9b, 0x51c94eb8, 0x2b315c39, 0x0e08c287, 0x48e8d83a, 0xdd3894a7, 0xe59ca946, 0x88aff6b8,
+    0xc2fd835a, 0x923a162f, 0x3aec5293, 0xd467898c, 0x9d064909, 0xdb80b63f, 0xad432247, 0xce543d7a,
+    0xcd6f7606, 0x24903756, 0x719f3b72, 0xf50e0123, 0x808a5025, 0x6ca53d93, 0xbd6a645a, 0xaa041094,
+    0x00000000,
+    0x2846dfe9, 0x4bd0a7af, 0x6d055271, 0xab831707, 0x6bc08588, 0x61e98be6, 0x254dfdf4, 0x314ac5b9,
+    0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000433229639706377321809127216272356828661943293027471\
+                          33987038743447103457934462900359999600095377180907771737671271930809827721216 */
+  { 0x00000000,
+    0xc31c2a79, 0x2f575128, 0xa69d018a, 0x07dbb799, 0x36c2ce3f, 0x76eff8fc, 0xa8e9d5a1, 0xe959fb82,
+    0x3aafb258, 0x3de2a910, 0x58586ac4, 0x1a1fadc5, 0x209203af, 0x3d5cf6cb, 0x9a450617, 0xbc6d3bff,
+    0x87e2a69c, 0x5394a9e2, 0xb98945d8, 0x0a7da987, 0x47e456f8, 0x2ac2b9eb, 0xd178d8ec, 0xfa377d10,
+    0xb84d5f97, 0x83a77c93, 0x2f0c3a9f, 0xa95c675b, 0x2521c978, 0x5a261e7a, 0xd72209db, 0x671688cd,
+    0xf811af23, 0xacb7792c, 0x39b72866, 0x438002ef, 0x87023f26, 0x1b66822c, 0x201fcdf2, 0x60aab1ec,
+    0x40687726, 0x51a5e084, 0xbd587781, 0x655a9374, 0x02fc8bfb, 0xb8e1ead9, 0xf46b315d, 0x2af63e6f,
+    0x3434ab56, 0x6c5ad27e, 0x95cac726, 0x544fafe7, 0x9a83b657, 0xa8fb4b55, 0x25c35b89, 0xc1ec357b,
+    0xfbb00d23, 0x6f653651, 0xc1b0e8f9, 0x3a7e39bd, 0xabc285d4, 0xdfa39d68, 0x7434ec5e, 0x89f78d5f,
+    0xf443fea8, 0xf0ef87ba, 0xa0adee26, 0xfbdd8c12, 0xb82f37d0, 0xaa25b3d0, 0xadad6576, 0x38c45935,
+    0x0e67c08c, 0xae8378b7, 0x072d61ea, 0xc6a2ec65, 0x72ef91df, 0xd4fdf60b, 0x4e9dd59f, 0x7e1b0384,
+    0xfb221653, 0xb19efe18, 0x3f15a9a0, 0xbf81552e, 0x8508080a, 0x921104b7, 0x01b25602, 0x3b6bae0f,
+    0x5c384044, 0x4a2d1cba, 0x3daa19df, 0xab9798f8, 0x35daac70, 0x558f7937, 0x79aeb48b, 0x7cf1b0a3,
+    0x8ee6fb6c, 0x105320cf, 0xd6f8feae, 0x8534418f, 0x707fb523, 0x11ddec07, 0x771d09b5, 0xf7666367,
+    0x6f193568, 0x5dce2a26, 0xbf771cbe, 0xf1362bf4, 0x2724e2ec, 0x5d6d070d, 0x0bdae030, 0x2a2c0466,
+    0x4d256447, 0xafeac0a5, 0x2a5ecd19, 0x66c765b0, 0x60d0cd60, 0x91ffbd83, 0xf35b3036, 0x7bffcdc7,
+    0xfdb21adb, 0xeb8e644b, 0x16f987e2, 0x460058a2, 0x0b8a442b, 0x28e330f2, 0xb0e64c12, 0xe9ccb34c,
+    0xed49d756, 0x9b1bfcb3, 0x89dedfe6, 0xa70eaf08, 0xd1e8a69b, 0x1213e77c, 0x77a538e7, 0x7a7c651f,
+    0x65ae87ea, 0xd70ac37d, 0xe5ddaf20, 0x7547afbc, 0xdd353804, 0x2caa0067, 0x3d6b8e9e, 0x063240e6,
+    0x03735892, 0x6fc158c8, 0xd924e854, 0x4f9134a6, 0xdf11b10c, 0xc67c2183, 0xaaafce1e, 0xa5fc7cbf,
+    0x7d365fd5, 0xd1c8a290, 0x796f4962, 0xb3f7239b, 0x6bf69889, 0x288399d5, 0x02201aa6, 0x8c1233f7,
+    0xb2138917, 0x56feaa09, 0x7ea79c8d, 0xe4a2ac65, 0x1b2cda9d, 0x67876e4f, 0x30b64336, 0x3840d1ba,
+    0xb66ec5b9, 0x758548c0, 0xee6cc335, 0x86ad9818, 0xb13f9fc9, 0x6c779028, 0xd7cce5de, 0x9047a7aa,
+    0xbdd64da4, 0x94622030, 0x9cf06b26, 0x29dcbec5, 0x2b0aac87, 0xe18309ed, 0x22308973, 0x8656788d,
+    0xb4f74ceb, 0x40a13807, 0x17390384, 0x9a2a9637, 0x0e043e3c, 0x03690ff4, 0x6bf601f0, 0x42c333d6,
+    0x31106b6c, 0x3e4cb0f1, 0x287d2cfc, 0xc5bfe8f4, 0xe2e99e23, 0x097bf634, 0xba3d80c7, 0xda2bb0d0,
+    0x82188f20, 0x7ad2e0cc, 0xf2f28336, 0x228376cf, 0x2d3e8395, 0xf968d95c, 0x4053763d, 0x756af2a0,
+    0xbd6a0d38, 0xcd663dc2, 0x1f4152c1, 0xf4296302, 0x7850be24, 0xf737cf47, 0x1983d408, 0xf63d1d04,
+    0x384a6fa0, 0x28cff749, 0x3e010077, 0x36dda984, 0x1ea38367, 0xef6e6454, 0xb34f4fe9, 0x16fcc791,
+    0x22455278, 0x71552d2f, 0xb0cd7bce, 0x3ed533d4, 0x47a8a00e, 0x7c10d608, 0x5e00c812, 0x82c0fe3c,
+    0x5fd26b2b, 0x2120855b, 0xf18704ba, 0x5df95bf8, 0xe9136f1b, 0x7752bb60, 0xb338ca71, 0x9c3a5278,
+    0x3d5f83cb, 0xb2236d05, 0x9447f717, 0x5b555d43, 0x551d74c0, 0x3365c912, 0x89c7931c, 0xfe1bce0c,
+    0x1d092d69, 0x1fcee149, 0x5db26ac2, 0x334b1f0b, 0x01ecaeb8, 0xbef12505, 0x366d298d, 0xbde14751,
+    0x2ac9b279, 0xf9bfa63f, 0x8c9f1ac1, 0xacf60422, 0x0053d492, 0x6815387f, 0x8d03b4f0, 0x50ab983c,
+    0x2826c09c, 0xfd222386, 0xea819675, 0x2c416a57, 0xbd79e388, 0x7615b69f, 0x165dde1a, 0x0d5d708b,
+    0x3a950613, 0xc2948959, 0xe1de4903, 0x3757f6c9, 0x96b7ba13, 0xc498b485, 0xf4170ddb, 0x30acc01f,
+    0x7ff236d3, 0x3c8a6b40, 0x73553d41, 0x67f3b601, 0x8a7126e6, 0xbb837a73, 0xe8546b98, 0x17c4566f,
+    0x0bfbfefc, 0x760c6205, 0x6aecf96c, 0xd07b97aa, 0x3edaec41, 0x35cc7607, 0x00872cb9, 0x9a83b789,
+    0xc17a2d20, 0x6ef510b0, 0x0f8b4401, 0x2d8c3a5c, 0x0aa049a2, 0xe0662d43, 0x8bf2bf6f, 0x4d2c9a2e,
+    0xadb95b78, 0x138455df, 0x272f471e, 0x170fbf5f, 0x731285fc, 0x92eea695, 0x6dc65784, 0xccb12502,
+    0x4385f224, 0x33fd0ffb, 0x52140256, 0x6f5bc7c9, 0x30eac4c6, 0x577f3572, 0x48d08512, 0xe7fad17e,
+    0x0c3d05a5, 0xe30451bf, 0x65652169, 0x1d1c0c30, 0x05e714cc, 0xc2e2ca11, 0x50e46453, 0xd508ddd6,
+    0x2ab2815f, 0x413d57b3, 0x32549e36, 0xb0715cba, 0x20cf84de, 0x89c5a125, 0x2c5556f7, 0xbfd54ff8,
+    0x1458a361, 0xf412a8a0, 0x9ab0afb9, 0x1e5a4ff7, 0xebd06ed0, 0x067a67e4, 0x4867f789, 0xc297e3c3,
+    0x3b213cc9, 0x23152990, 0xb1b490d3, 0x7638255d, 0x28bd3f9c, 0xdb1aba1c, 0x48a2d93b, 0xc8fcbe7d,
+    0x961a019f, 0x10455d84, 0x94e041e2, 0xa08363a2, 0x47591637, 0x6b85c268, 0xb25175f8, 0xa15f1223,
+    0xb4bda4e8, 0xdf1efe5e, 0x17976ade, 0xd3b25562, 0xc7b136d3, 0xada758d7, 0x645fc5aa, 0xa782f611,
+    0x21b34848, 0x079ac96e, 0x1877dcce, 0x7e950ea3, 0x8cacc960, 0xbc86a888, 0x696d6185, 0x72357927,
+    0x673e5685, 0x8fa93dec, 0x85b3d50a, 0xc69cc144, 0x5338dab8, 0x6c585e62, 0x6338af31, 0x906e1055,
+    0xe9d351c1, 0x1d08adaf, 0x47a091b5, 0x90793f9f, 0x2e74bdbc, 0x914c85f4, 0xa1deca68, 0x02cb62a3,
+    0x2d52d171, 0x6ba159e2, 0x60f22da1, 0x9d25cabf, 0xe634346d, 0x3b446d1e, 0x59453088, 0xfa86d74d,
+    0x62343d88, 0x0a0f545f, 0x8f8ffef6, 0x2a33e93e, 0x05b1e9f0, 0x10767503, 0xce7841d1, 0xf3acc6af,
+    0x52e00264, 0xf83b5e27, 0xecfee099, 0xafd25606, 0x7f7f9993, 0x253ada46, 0xb88807be, 0xf43b94b8,
+    0x6bc42fea, 0x21997cda, 0x8fcf88a1, 0xa16ec76c, 0xa096a2b3, 0xecf9fd15, 0xb4c9c0b9, 0x49ead3df,
+    0xc269d12f, 0x9d053459, 0x6aca413c, 0xb4ab09c5, 0x7baa24a7, 0xee3fa91a, 0x5ab47551, 0x7590230b,
+    0xc9975bb0, 0xc800913e, 0x57b0a3ba, 0xeaebc88b, 0x98e5ea0f, 0xd00277de, 0x3e961fb3, 0x3068554d,
+    0x51b97d78, 0x31fcc2ff, 0x755ff699, 0xec405156, 0xaece226a, 0xfc409859, 0x130bbebf, 0x5132ccff,
+    0x8c24e990, 0xb167c2f7, 0xc4b1b797, 0x658603a7, 0x056b7282, 0x65fb141e, 0xc438da55, 0xb642300a,
+    0x4c47782c, 0xbb08ee80, 0x77cf6408, 0x1a60ceb8, 0xdae1de9b, 0xdce6a8bf, 0x75590f98, 0x37d9c657,
+    0xd4d9395a, 0xaa1e46e5, 0xe8735bd6, 0xb92c303a, 0xf540a1f9, 0x9893137a, 0x7a4de980, 0xccff2728,
+    0x59bbd706, 0xd56d81c8, 0x34312435, 0xd209c4e8, 0x1c755851, 0xcec4f9df, 0x7228c81e, 0x4645522c,
+    0xcd4b2324, 0x4618d4f1, 0xb37caa06, 0xd97c6b5c, 0xbd7405ef, 0xcca40764, 0x26920b26, 0x83c0710f,
+    0x5114a480, 0xa23dde54, 0x89ca57bf, 0xfe2d967f, 0x93f52a92, 0x91e05e53, 0xcf22f3e4, 0x1f26b24e,
+    0x07926551, 0x00091db3, 0x43d771c2, 0x07bfddbb, 0xe3813cb7, 0x027baf19, 0xaec3cd1f, 0x63acae38,
+    0x7202a2f2, 0x523224da, 0x6e44c508, 0xb8f34248, 0x4a61781e, 0xc582b45d, 0xba907f8c, 0x6e2fda5d,
+    0x90156187, 0x3858031a, 0x2b039d68, 0xb37e62db, 0x875a7804, 0x4342690a, 0x2d546b98, 0x0e5d77a7,
+    0x342c7793, 0x802090d4, 0x2a0442bb, 0x7ac536b4, 0xbfbf3bb0, 0xa8e824c7, 0x3ce59cb1, 0x0890dddd,
+    0x10a8be69, 0x8bee72f5, 0xbc6f7b70, 0xec9227fa, 0x1dc4461a, 0x551d4501, 0x373d2a35, 0x92aaf82c,
+    0xb7328730, 0x6a29ff8d, 0x0c5621a1, 0x8600ee1b, 0x8116b4f8, 0xb1b1248d, 0x653b503c, 0x3a91ce7b,
+    0x3a963549, 0xaf935de0, 0x7c9a80d2, 0x58b23ed0, 0xe6fcac90, 0x23bb8abc, 0x52655a4c, 0xa4588f40,
+    0x3194fd1b, 0x5e1dc128, 0xfada9135, 0x3d3de752, 0x2666c872, 0x1f234cdc, 0xc790157e, 0x61d5734a,
+    0x1d45156a, 0x905e3413, 0x368ae921, 0xaf829229, 0x728e2805, 0x757160ec, 0x6978f11b, 0xd4ef75e6,
+    0x75331c4e, 0x8bad769b, 0xebee422d, 0xee4d96f8, 0x7fe43ab7, 0x64008a41, 0x7a16d8da, 0x08aed9f7,
+    0x21d84d50, 0x4bc20887, 0x619c28bf, 0xc9eb5518, 0x2336a0f1, 0x4c8425da, 0x778b7435, 0xf57dfff8,
+    0x94ee6df8, 0xc1f1da48, 0x06e00c14, 0xbba04b38, 0x6fbfebe9, 0xbb518c00, 0x2fbc0161, 0x919d3fa2,
+    0xa13903e9, 0x8223e9c0, 0x8f3c6dcc, 0xdc2d4210, 0x868bbe33, 0xa575c866, 0x96edb90f, 0xcc7ad9ba,
+    0x2b5f8286, 0x0e80342a, 0xbd5ad026, 0x076fdaec, 0x52f9b4f1, 0x739cce9d, 0xffb56882, 0x2d208b52,
+    0x60c9c424, 0xff828a00, 0xcfd7774e, 0xa4497257, 0x2f2eda72, 0xe7a6a395, 0xa3228c83, 0x486570cc,
+    0x99bfd40a, 0x4f6b8a0c, 0xcfa00ce4, 0xaa03d1f2, 0x38c13bc9, 0xa9785994, 0xc4765659, 0x4a78e527,
+    0x1701369b, 0x6d7bd3e7, 0x130f4686, 0x6cffe4af, 0x0122d3fa, 0xf950ff04, 0xc43f4a2c, 0xad340e09,
+    0x4316c058, 0x7ef14ce9, 0xecaa9b12, 0x40e0df5b, 0x57626298, 0x0d38e152, 0x372af6ee, 0x70a644d6,
+    0xaaeef5ba, 0x8967dd19, 0x0a1d976b, 0xbde7f779, 0x9ec8d834, 0x707fdfbd, 0x64ef0905, 0x89e201e7,
+    0x980332d4, 0x0409d65c, 0x5413fdd4, 0x8ce1030a, 0xd154dc62, 0xdaf54420, 0x51567235, 0x821b8fa2,
+    0x7de7c7e3, 0x894b2d70, 0x91ad288e, 0x067808f4, 0x0b3ba959, 0x03451b8e, 0x0bedb1ae, 0x1f6cffd9,
+    0xc99832a7, 0xbf81e5e0, 0xf6dbb9a3, 0x217955ad, 0x33528077, 0x137710a1, 0x810832f5, 0x871a0f33,
+    0xdb779110, 0x361eb8a6, 0x8a98e5f0, 0x294c7704, 0x460722fe, 0x3608fc78, 0xd2bee7bb, 0xf7fe84ef,
+    0x9ba5430d, 0x6ce858d0, 0x092f0519, 0x8ce10dc4, 0xcfab8795, 0x15702dc3, 0xaa48b3d2, 0xa6eb525b,
+    0x0ee5b6e2, 0x056d808f, 0xedfed476, 0x5a55967b, 0x33c3ce4b, 0x96074e78, 0x9f7042f5, 0xa42b15b2,
+    0x45a11ba5, 0x887c0c81, 0x5f53a74d, 0x64642ffd, 0xaf21fc5a, 0x274839b5, 0x5bc9adc6, 0xc37fb1ef,
+    0x1ba24cf1, 0xeaa62e79, 0x4ee0b3ef, 0x3bb8d2bf, 0x17e19832, 0x284bb3c0, 0xf6abadf7, 0x8d56dac5,
+    0xfe6fbbcc, 0x77b8e2b9, 0x15b4616c, 0xfcbd3d52, 0xf83511cb, 0x14cd7c54, 0xb5dcf359, 0x8a200cd2,
+    0xd13f8f5a, 0x6c0eea79, 0x3c40e089, 0xfca8fded, 0x68b9f82b, 0x391c7063, 0x5bc296c6, 0x4970518d,
+    0x71e195e7, 0x73194ad0, 0x39dc6d2f, 0xd7b06cf6, 0xf2c88156, 0x391f2355, 0xd282dc1c, 0xdd7f80c2,
+    0xa567d48b, 0xdf48bb43, 0x0fdc6433, 0xfe20daf7, 0xc43752dc, 0xb5041a49, 0xcb463e08, 0xd5717c85,
+    0x0d8d1ca0, 0xed0134ce, 0x44ab8e09, 0x9429c6aa, 0xc7280e38, 0xea347310, 0xf949f62c, 0x1bf49224,
+    0x30ed9fc1, 0x12ba1d55, 0x48630838, 0xfb13516d, 0xfa7c9417, 0xbd54f4a2, 0x300268da, 0x8d4b402d,
+    0xe680b902, 0x86f8a0b0, 0x567ae50f, 0xbbbba28f, 0x2dc3d426, 0xd2288c31, 0x28bbde52, 0xfd419cf4,
+    0x7b6d591c, 0xcb49fa1f, 0x397dec22, 0x0eef802a, 0xa9a00e2d, 0xc94a6369, 0xa33f0f60, 0xee06f349,
+    0x0f3d85df, 0x9e43d138, 0x6fdc79ad, 0xbdadcdb4, 0x9c116e15, 0x97d7b791, 0xcf4dedc5, 0x5cdca65b,
+    0x8032740e, 0xe8921ae5, 0xae130f0f, 0x9516fb2d, 0x706cf551, 0xf90c2cc7, 0x6423dc10, 0x74f2440d,
+    0xa7071fb2, 0x2c8a5f44, 0xd4f12586, 0x76e83816, 0x65c8cce8, 0x10f2d0e3, 0xb085c00b, 0x6e0583fa,
+    0xe97ea069, 0x1e62763c, 0x3226e707, 0x7da9aa6b, 0xc2f55143, 0xeaa19404, 0x3d6db49d, 0x2bf2e454,
+    0xb20521fd, 0xd26fd8ac, 0x0f930772, 0x24051c9a, 0x06eeedb1, 0x3a4794da, 0x65150898, 0x531b0f71,
+    0x503da918, 0x0555773b, 0x40c7149a, 0x97edcf17, 0x91ac45d2, 0x5a1fbc68, 0xc245770f, 0x0105267c,
+    0x5a6d3940, 0x44a6a6f0, 0xdeee1cc8, 0xe525bd03, 0x83661479, 0x4aceb2f9, 0x0f4f3085, 0xd866a3cc,
+    0x336a177d, 0xa7511d5b, 0xc5aec5d0, 0x22b55639, 0xcb842d0a, 0x5987838e, 0xd366ec5b, 0x5552bc7e,
+    0xc49e419d, 0x1e743c54, 0xd8efb4c3, 0x9ceed522, 0x87c65c6b, 0x74c27db5, 0xcd02f2d0, 0x9d819b23,
+    0xac7a5851, 0xf51a14f2, 0x6fb1aac5, 0x57091ea3, 0xb5e0340d, 0x723e59a3, 0xda46c997, 0x3f4e279c,
+    0x40f785f5, 0x5f23fc2c, 0x0be72d7d, 0x8836da74, 0x9f172e0f, 0xe199c988, 0xc3b2b15e, 0xceba94ba,
+    0x9f1e1188, 0xebd6551a, 0x288d7047, 0x4a2925e8, 0xe6e19f38, 0x8df0c399, 0x23295884, 0x7b1af274,
+    0x389a4204, 0x1fbce9ea, 0xe5993b3b, 0x1682287e, 0x9bc0ad4c, 0x76036ffb, 0xd5734266, 0xe1d3a5b9,
+    0x70198288, 0x01cc9149, 0xf8c52ea2, 0xdc2a1514, 0x4908208b, 0x3e0bac7f, 0x953bce38, 0x33d0c2bf,
+    0x3f7a4dc5, 0xc475918a, 0xd8bae605, 0x04734b06, 0x0a8f36da, 0x52cfd894, 0x96ae99fc, 0x26dd07c8,
+    0xbffebfd5, 0x53dfa497, 0x9435ec69, 0xdfa67ea7, 0x65e7be2e, 0x3e64fc7d, 0x175eebca, 0xf166362c,
+    0x640aafce, 0x4efd30f5, 0x33e8b3c9, 0xc8045ceb, 0xa61d7960, 0x0917a3ba, 0x75c2fda0, 0x4d2ab73b,
+    0xb8161511, 0x73d8e2ae, 0x81a346ae, 0x8f2691ef, 0xa2987042, 0xfc5acd18, 0x86a862ae, 0xb9e668f9,
+    0x38bdcf1b, 0x137535f5, 0xf2427568, 0x200c9ebe, 0xbdfdfdf6, 0xb8bda690, 0xdae1af3b, 0x4b8e95cc,
+    0x61ef2601, 0x330a3ec9, 0x6099d071, 0xae964210, 0x776850cc, 0x8b451db3, 0x2ebfec5e, 0x0d269a95,
+    0x1aebfa2a, 0x4103bb7e, 0xc66b72a2, 0x87d75221, 0x154bb1f9, 0xc14d6eaa, 0xf10b0840, 0x32f1cfc9,
+    0xcfcf9fe7, 0xd632f332, 0x8c93f1ed, 0x1ed39f20, 0x744954e5, 0xdb0d953e, 0x89bb7ab3, 0x163f3c53,
+    0x6e8de518, 0x5a7ee612, 0xa735a13f, 0x6276ef53, 0xd68a2066, 0x29aa2030, 0xf17ee76b, 0xdb7a215f,
+    0x936ff543, 0xc02de200, 0x952b49cd, 0x7932795a, 0x29e422e3, 0x881334cd, 0x7ead3691, 0x0969a840,
+    0x9b8e1acb, 0x307063c0, 0x4e3e98ae, 0x63c091ef, 0xbb415156, 0x91d0e646, 0xb5f694ae, 0x103bcb49,
+    0x16604ba9, 0xd4789150, 0x74ad9b5b, 0xca33c900, 0x482803b3, 0x97b3effe, 0x3bb34ca3, 0x3927c95f,
+    0x8fbb49f0, 0xa27d17ef, 0xf675690e, 0x828eab34, 0x70a079f1, 0x6dacb93e, 0xdf645d6f, 0xdde34199,
+    0x9bdbd429, 0xf9afdd55, 0xe93ecc0c, 0x76f77c33, 0x52c45dbd, 0x50582818, 0xb37808f7, 0xf263f1d5,
+    0x3d79f424, 0x4f903a3d, 0xa4dd4948, 0x7d5d9973, 0x707c5fe0, 0x49a4c248, 0x7840634c, 0x93850481,
+    0x00000000,
+    0x94236ff4, 0xa5e853d7, 0xb682a938, 0x55c18b83, 0x35e042c4, 0x30f4c5f3, 0x92a6fefa, 0x98a562dc,
+    0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000216614819853188660904563608136178414330971646513735\
+                          66993519371723551728967231450179999800047688590453885868835635965404913860608 */
+  { 0x00000000,
+    0x1a494230, 0x72d282b2, 0xa84a02fb, 0x2ed8e859, 0x0e54a293, 0x0ccdf230, 0x3579efe4, 0x39786f1a,
+    0x713114b8, 0xb0d27bf7, 0x8afd1ffa, 0x02318627, 0x3d5ce3c3, 0x4e6563b9, 0xe0633258, 0x4d1a94db,
+    0x8bd00637, 0xfd0db150, 0x223dac16, 0xa3eb3d9d, 0x571a095f, 0xd1f1b91b, 0xb2241ffe, 0xe3926278,
+    0x93f6c4ca, 0xf9f67d4c, 0x460ef0e7, 0x4781ea27, 0xe3d7731a, 0xcffb5e88, 0x25b5b4a9, 0xa973c677,
+    0x13faf1b5, 0x0a8d3403, 0x2d0fa4a2, 0xc438fcea, 0xb9fe2f77, 0x8a8f8b7c, 0x3e08933d, 0x38b40ca1,
+    0x3bc46490, 0xbcb5c89b, 0x85ebb685, 0x0020cbcc, 0x70ae1cc9, 0x75436d4a, 0x03eba72e, 0x65e41458,
+    0x179bcf24, 0x904dc289, 0xd8851597, 0x6ede6163, 0x8c53217e, 0x0eb23659, 0xf36c964b, 0xa1f63c96,
+    0x1eaf0a8b, 0xc504ccae, 0x7e61fb92, 0xb0fc1c43, 0x89b7ae8b, 0xbc188a2b, 0x5dac6a6c, 0x3ba88be0,
+    0x0a200892, 0x29bcf622, 0x76e4a0c8, 0x8ad25c1a, 0xb53a63df, 0x54c8a451, 0x4222cb5d, 0x575b01d5,
+    0x598b2aed, 0xf07c4e5b, 0xc8e0c914, 0x8a62d450, 0xd1665cc5, 0x0ba9e894, 0x55467ed1, 0x6d57211a,
+    0xa5dfa3e9, 0x64f918c3, 0x42d7c63b, 0x6991989f, 0x0486ab9e, 0x980b0d9f, 0x334d68e8, 0xdaa7297a,
+    0xacac7f71, 0xac744f08, 0x36fcd3c0, 0x37dcbbc7, 0x246da385, 0xfc5fbc40, 0x0601fabf, 0x8c1f241d,
+    0xa30cd3e0, 0xa3ff2285, 0x9efb7bae, 0x9fd8280d, 0x824f9040, 0xf8d28f18, 0x131c5ab3, 0x940b1cbd,
+    0x2efd9cc1, 0x69f68161, 0x5410bb22, 0xb5fc7ce8, 0xcd8d9f03, 0xb172f706, 0xe7269316, 0x4bdda3e0,
+    0xd4f0b1ee, 0x493c3999, 0x53effc90, 0xb4d43de2, 0xb754c3ea, 0x75dea059, 0x1895ee84, 0x6ade9e3b,
+    0x7ca7da51, 0xb7f89eeb, 0x48f77a1e, 0xf7d025c3, 0x068083f0, 0x10d0cbf0, 0xc5e5250e, 0xe14d9ac0,
+    0x6afc8d4e, 0x06c0950f, 0x97c67fe2, 0x5cc3693c, 0xfa0d6e7c, 0x7b186197, 0x7b1b209a, 0xc6deb284,
+    0x3aa5c4dc, 0x4094c268, 0x291b2d49, 0x4b022aed, 0xb3c92ace, 0xa6bab4ed, 0x99aba108, 0x5127d286,
+    0x66e84b67, 0x5a2a7d99, 0xa2f19dda, 0x9fa84c77, 0x1df19d1c, 0xeac3d7af, 0x49100ef0, 0xb9e42478,
+    0x3f4550d8, 0x9d6d89d0, 0xc936fd2e, 0x090dcb31, 0xe5c393d5, 0xa990144d, 0x09565fd4, 0xe5563c24,
+    0x19734916, 0x61903488, 0xac742400, 0x30e1ffdf, 0xcbc3db0a, 0x96a8be17, 0x5519a213, 0xa0dbc81e,
+    0xba676bf4, 0x20df41ac, 0x4ada5ca5, 0x42c2e35f, 0xaaab2f76, 0x230eda1a, 0x7db1bb31, 0xaceebff0,
+    0x5ba1ecb0, 0xf55cf8f0, 0x3e874184, 0x0088309a, 0xe2dccc46, 0xf790ff0d, 0x22397996, 0xf7ccd0b6,
+    0xeb5c886c, 0xbc0df973, 0xdfc4e087, 0xab8c2702, 0x7d845e58, 0xe9527228, 0x0316d22a, 0x71a46f86,
+    0x02d5e327, 0x9c1eeb43, 0x65467711, 0xa26a034d, 0x64cf57f8, 0x415c6598, 0xeb7297b1, 0xbc8b742f,
+    0x1c945359, 0xb0e2be30, 0x7bc506d6, 0xf32448f8, 0xff41cfff, 0x2cb65861, 0x72e2de1c, 0xf3c4215c,
+    0x8a7a6283, 0x4e0996f6, 0xd3c9f75c, 0x6c29d534, 0x2553a450, 0x46ec41d5, 0x5d301546, 0x9e1ca066,
+    0x7b96797d, 0x2bda9370, 0x99af3d4d, 0x1175b19c, 0x0a0aea28, 0x1c94a7af, 0xf4f84550, 0xb40c21ab,
+    0x9049689b, 0x27388f2f, 0x3c05ddff, 0xae8274f7, 0xd0b0f6e9, 0xcc318584, 0x1a739539, 0xd8a29fc3,
+    0xf4f9d460, 0xb96245a5, 0x49cd7eb9, 0x198d71d0, 0xf6762575, 0xb5cc4ca6, 0x0a1e4323, 0x0bc2d28a,
+    0xa0aef968, 0xa0c6e746, 0x10e3b046, 0x4926fa15, 0xaa7ee552, 0xf4d26342, 0x7fefb287, 0x7949d9b6,
+    0xdf4d8cdf, 0xc4549e98, 0x2da819f5, 0x90736bad, 0x14391955, 0xa860a9f9, 0x61c63a3b, 0x528d1eca,
+    0x69988069, 0x034cf5dc, 0xd4c84f56, 0xe796efb9, 0x7b6f94e9, 0x542d1410, 0x1d171afe, 0xce201b7f,
+    0xee4b3c08, 0x1c5c96c0, 0x821ec5a7, 0xd46c3288, 0xd88de504, 0x19fc26a2, 0x283e158d, 0xaef8bf60,
+    0x4c602853, 0x9649afa8, 0xbdb4d9f7, 0x55afbc23, 0x4941a5ab, 0x3c28a9a0, 0xc707ae57, 0x7fd79860,
+    0x16b1a12e, 0xa4aad8a1, 0xfe7a930e, 0xeec7ba4f, 0x9b208a68, 0x8b37f3d9, 0x5ea5f1c7, 0x7b987dda,
+    0xb7f3cf6c, 0xece2bb8c, 0x057c055e, 0x3ee81054, 0x18e71764, 0x9af21fd5, 0xaf95a151, 0x5740947b,
+    0x10ed5580, 0xdfd4dd88, 0xf3c98932, 0xf2d8f6a5, 0xdbbf9955, 0x33aa7050, 0xe0872bc5, 0xd4d9fc73,
+    0x34fec9c2, 0xbfcc9639, 0x1b0c8639, 0xf1c85dc8, 0x01222d93, 0x0f4392ce, 0x5407c630, 0x3812c4de,
+    0x7352ac3b, 0xd988b26f, 0x8c912d3d, 0x4dee4b7a, 0x29f21461, 0x13aa6aaa, 0xd82b8fb8, 0x74e0ad51,
+    0xc113f900, 0xabd9a894, 0xada07441, 0xbf5e1ff5, 0x4b6628eb, 0x29e271ef, 0x0a483ada, 0xbbe66454,
+    0x838445b6, 0xcc3a6223, 0x050c9233, 0x82adee84, 0x78f0c411, 0xaa28114b, 0x6c42a2c8, 0xefd697c7,
+    0x6e4cb5cc, 0xb8cfc00f, 0xf4118bcb, 0xb054cdcc, 0x3a5c26b1, 0x5a611a23, 0xdec630e4, 0x98ca71c4,
+    0x84fb5964, 0x06093383, 0x2913f83c, 0x19fe0870, 0xf45fbdaf, 0xb9a16cf0, 0xa742aac7, 0x3d70393a,
+    0x36a2995b, 0x02445369, 0xa1e392e2, 0x450d24ea, 0xb741120c, 0xf6fa7ab4, 0xbc266bf7, 0xec16d421,
+    0x8fe08d57, 0xf882a58d, 0x7a4e87d8, 0xdaef9a99, 0x5930e0e5, 0x639bd6b0, 0xd6387d54, 0xafe83211,
+    0x9991951d, 0x79e3bad8, 0xeeea4ada, 0xebef64fa, 0x910298e9, 0x14f3f1a7, 0xa7d00cc0, 0x514f3591,
+    0xd6261172, 0x7b90668d, 0xa6019b3a, 0xab9cc16b, 0xd70cd3d6, 0x75b27b93, 0x39a71e65, 0x7f60b9ef,
+    0xa8ba43e2, 0x31a17a98, 0x0b19a8c1, 0xd0527063, 0xfe6f4b7a, 0x3ad8cf6b, 0x6a5891f6, 0x485ec264,
+    0xbf12a6b6, 0x50286f48, 0x80123a79, 0xdace3c7a, 0xc35ae02f, 0x85ece24a, 0xc9119356, 0x4b38bb2a,
+    0xe57bbd4c, 0x85e355fe, 0x7deffcb3, 0x59e892e3, 0xbd94c223, 0xd8f8f098, 0x59418296, 0x108c24d3,
+    0xce3f040f, 0x0b048eae, 0x18efd856, 0xa41791de, 0xa0c21c10, 0xdca8f8e5, 0x24efeb96, 0xca671ce0,
+    0x806d3797, 0x04051c2d, 0x8f1e2fb6, 0xfc9b7fa1, 0xf2e95884, 0x2aca7d58, 0x66ad5488, 0x25630f50,
+    0x3d25b406, 0xd4e80a00, 0x4243f560, 0x2155bbfe, 0x098848bf, 0x26bbf207, 0x73f70cee, 0x7f5bd83e,
+    0x4d17c2fe, 0x4f367f0a, 0x8bca5de6, 0x8bd2a84d, 0xb4cda7b2, 0x33a8b56f, 0xa2afc536, 0x5d591098,
+    0xa1439358, 0xa8799f30, 0xcf680516, 0xa2548172, 0xdbf9ca6a, 0x56073f06, 0x9fcdd7ce, 0x36327250,
+    0x46bd67a6, 0x01534039, 0xf88d5c8b, 0xd2a8f10d, 0x85ded15c, 0x11a9e1fb, 0x76c43af2, 0xf2ce77f0,
+    0x777a0e2b, 0xf10755ab, 0x0c5d6495, 0x39998769, 0x71ca6dff, 0xfca0d7ca, 0x21039671, 0x395cc74d,
+    0x16797bf6, 0xe77db6e1, 0xcb24c55f, 0x171f5d8b, 0x3e95392b, 0x685fc6f5, 0xfc746879, 0x75f15d86,
+    0x05838d3c, 0x80f023a0, 0x261261c7, 0x32721f8d, 0xb52e7473, 0x2c69df34, 0x08315415, 0x21517641,
+    0xd97a2e6a, 0xf8620d8e, 0x17d06d80, 0x364afe94, 0x22853608, 0xfaf8b17b, 0xfbad5aff, 0x28e0aabd,
+    0x84eafb66, 0x30d86e66, 0xf8b5fb82, 0xb78bea28, 0x39825f0b, 0xfc793266, 0x46ea0bdf, 0xf7a5e2bc,
+    0x17cd9fd2, 0xc64ea435, 0x6538d1fc, 0xdab239e0, 0x7d4eeb06, 0x29fc25a1, 0x1bda9438, 0xcff66625,
+    0x3d5573b7, 0x0799ae83, 0x55e88f95, 0xe5c2467b, 0x7a3a52e6, 0x492f62c7, 0x99d551f9, 0x4232717c,
+    0x7cf47bce, 0x1a037983, 0x82dc9a0f, 0x97487c7e, 0xba86b66e, 0x0f471d9b, 0x4c1579ce, 0x3794ce56,
+    0xb157532a, 0xa6c6eb6c, 0x72f04598, 0x15384d38, 0x44ee7298, 0x26ef4d64, 0x97912d71, 0x01bb98d7,
+    0x69d9705e, 0x55e0289b, 0xff719b9d, 0x3549dbf8, 0xa4ea2a1e, 0x5de94654, 0x82db2e2a, 0x03dd2ad6,
+    0xa803e4f4, 0xc1984c42, 0xd1934d97, 0x8d7432ff, 0xd5a14b35, 0xff199a00, 0x3ba979af, 0xa92b16f7,
+    0xec2a68be, 0xf7aa8b4e, 0x374a0f70, 0xe2673583, 0x6fc98b60, 0x20292dcb, 0xc17138a3, 0x45bf449f,
+    0xc14a2b2e, 0x6ab3a8b5, 0x9db008e9, 0x834c8f3b, 0x20b933d5, 0x8033a93a, 0x0f4d7099, 0xa5deb0c5,
+    0xb56b07b2, 0xb94f5db4, 0xcbad052f, 0x3d12890c, 0xc57c3ef4, 0x1c469375, 0x85691af2, 0x854bf5c2,
+    0x552cdcad, 0x053ba691, 0xeefc3d7d, 0x05226091, 0xdf6e2e0c, 0xdbdd5791, 0x131d9448, 0xc59ae767,
+    0xf7f97724, 0x9aee03e2, 0x765e63d7, 0x9482cb55, 0xe83d4ac9, 0xa16a5ef3, 0xc269bc72, 0x1bccc194,
+    0xa5edee0f, 0x103c5a66, 0xd86bb80f, 0xb1c85ebc, 0xcbcc4fd7, 0xda0e34fc, 0xdbf45003, 0x5aae973b,
+    0x33345b44, 0x9ff811b6, 0xc42ba336, 0x8553703e, 0x8de6a0aa, 0xd97f58f3, 0x51717c5d, 0x81a86ba1,
+    0x871dec85, 0x1df77ef2, 0x982db824, 0xf2001f25, 0x87e16055, 0x9e321a45, 0x2bfe34e6, 0x897b3109,
+    0x70e5567f, 0x5f3f67ef, 0x7360c627, 0xc4f71c44, 0x901f3aec, 0x9eae5a8a, 0x2a687c51, 0x2c7e7e71,
+    0x2a1a49bc, 0x8a9beef9, 0xfcb4cf39, 0x5a6dea7d, 0x8ca7d5dc, 0x12f017e4, 0x60885a2e, 0x6eedeb25,
+    0x22de0bb0, 0x582f1807, 0xe74c8aa5, 0x8293ebb5, 0x0f4f74de, 0x4f169f39, 0x12170598, 0x3d49186c,
+    0x6a876eee, 0x2120bc26, 0x96b823ff, 0xfa6593ba, 0x0c1cb697, 0xf56d72f5, 0xa8cf2d3a, 0x7529988f,
+    0x8f7f1aff, 0xd1303e64, 0xc5a18b21, 0xa31fe0ee, 0xb68cdfed, 0xa600d94c, 0x0beeb52a, 0xd22d6b31,
+    0x699d4816, 0x8671019e, 0xe3281fb1, 0x00c1872f, 0x15a259b1, 0xcda8efa4, 0x97687f8b, 0xbac87c7f,
+    0x926915b2, 0x8b5ffbe3, 0x01447ae0, 0x7a1fab25, 0x2157c36f, 0xca3c0f9a, 0xb951eed5, 0x4e62b2c0,
+    0x9f957876, 0xc8aa090d, 0x0f2cd79e, 0xb6fc287a, 0x103615c4, 0x8bbd0d74, 0xded361ab, 0x0d7e8daa,
+    0x0c35d342, 0x285a47c8, 0x631eb492, 0x28394ced, 0x0b968288, 0x9dd31d8c, 0xdbbdf57a, 0x33059d0f,
+    0xca349579, 0x04e50860, 0x056ccdd5, 0x661d4abc, 0x0de17752, 0x087d2bf2, 0xe6d8c99c, 0x92b4397a,
+    0x8f13f0fb, 0xde11816c, 0xb98b34ff, 0x29388d93, 0xc4b3d318, 0xff51b6bc, 0xa1d86dfe, 0x6185dff3,
+    0xe8ed4747, 0x9439412b, 0xbb5277cd, 0x3337ab5f, 0x1a85355f, 0x5beb67d1, 0x3d4c0863, 0x293ebca7,
+    0x43d44a30, 0x05d64e55, 0x7b9ea4c0, 0x8d4e03db, 0x882ef252, 0x36541747, 0xcfad1e68, 0x8cbea58d,
+    0x89ef260e, 0x7afdc4aa, 0x62d63452, 0x390a8896, 0xe5128665, 0x8c773d11, 0x253dcff2, 0x1248a3cd,
+    0xf6939293, 0x3feb7f2b, 0x611a1880, 0xdd6defc9, 0x28fda524, 0x1f6b3089, 0xd19c7b8a, 0x188d3344,
+    0xe70b55b2, 0x8320729c, 0x3bf3420f, 0x5ca4e38a, 0x48a9213d, 0x89848bec, 0xa371d388, 0xb37fae7f,
+    0xbd1dddc3, 0x45565638, 0x5e16a79d, 0x220b2ed4, 0x9cdabcf8, 0xf9786368, 0x02282753, 0x0f505411,
+    0x01f1fdaa, 0x7e79eb3a, 0x5284e9a7, 0xd7c61a04, 0xfda1e2bd, 0x1e28f344, 0xb6ab57e9, 0xe835f6cc,
+    0x64041784, 0x338d70f9, 0x9e98c9cc, 0x5bfb1571, 0xf27c77e1, 0xc61a7acb, 0x07fe6934, 0x0056d534,
+    0xd22fa7a9, 0x437c72a1, 0xa50da92f, 0x2de6dd9d, 0xe45fa56a, 0x0e871a04, 0xd1aea670, 0x7a4a6189,
+    0xa74f62f8, 0x9b9fa5d8, 0xf9d935bd, 0xcc2e3316, 0xdd7cb114, 0x6d84ff4b, 0x517de601, 0x3611988a,
+    0xdf89f9a7, 0x2a19674c, 0x2292bd01, 0x2f5842fb, 0x1722d0be, 0x45770502, 0x4aa6702b, 0xfed886be,
+    0xcaf76496, 0x51c74bc3, 0x13b01795, 0x7a97186d, 0x81bee49b, 0x9112d61a, 0x091be796, 0x7a8c9b23,
+    0x2bd412fb, 0xad62460a, 0xc76dd52a, 0xa72456ca, 0x48f5b311, 0xe304d7b4, 0x0fd9f80c, 0x422878ea,
+    0x6d76269f, 0xf3de94ac, 0x4de6921f, 0xfbf82869, 0xe552de83, 0x3bcb3a0c, 0xe84791a9, 0x9d964571,
+    0x88375ea9, 0x20221c1d, 0x2fa75fbe, 0xad39c53f, 0x24b53264, 0x1edcd776, 0x048ebfb8, 0x3e3982eb,
+    0xd22d655b, 0x04eb102c, 0x4e3803dd, 0xd587c602, 0xb57849d8, 0x262619f3, 0x3feedd4e, 0x85e98bc9,
+    0x658230e0, 0x143aa963, 0x1d89183b, 0x11713e64, 0x10495059, 0x3f17561f, 0x78f3079c, 0x224d3055,
+    0x7cd7d49b, 0x785eeac7, 0xa56f5145, 0x5fbe256d, 0x6f1ad709, 0x78daddff, 0x1868d601, 0x4397dd45,
+    0xc4f7b138, 0x47d843dc, 0x270ad864, 0xbd34f948, 0x2460d7c1, 0x177af201, 0x8ca2818c, 0xe940c93f,
+    0x7a2fe967, 0x2396292c, 0xa9c54060, 0x7e25e54b, 0x15c5cc3d, 0x24cdcaf5, 0x84e198ba, 0x3195d9f0,
+    0xe719c570, 0x3564b4df, 0x8c3bdb76, 0x38b32635, 0xfee00bdc, 0x5f4c0dba, 0x5d79fac1, 0x21f80b68,
+    0x2afaa2b3, 0x9a77b02f, 0x9644fbe4, 0xd9de2921, 0x4bacb4c3, 0x96f4abc9, 0x3c639e13, 0x9062e943,
+    0x1ff0063d, 0x801003f8, 0xb0cac384, 0x77a03ece, 0xb4243a36, 0x72645d57, 0x85f8a717, 0xefcbe856,
+    0x89e88b7b, 0xa12b6f27, 0xc5a66567, 0x18c33686, 0x269ee97a, 0x20f12713, 0xaa507217, 0x84b22e1a,
+    0x70996053, 0x678c50da, 0x11d98772, 0xe9e00bf3, 0xb932dc13, 0x2e12ac16, 0x153f2ebe, 0xdde322e6,
+    0xa9fe5f5b, 0x7e83e8db, 0xc32cbc79, 0xf949b3d7, 0x02cbe7ad, 0x61d68968, 0x67c0b697, 0x8e0807d5,
+    0x5b3e01ab, 0xefabd2b5, 0x09f440bf, 0x696c5ea7, 0x1bf34865, 0x716b6874, 0xee67f2b0, 0x14993548,
+    0x1e376729, 0x0e317a39, 0x497fe158, 0xf86852a2, 0xc026cd25, 0x8e086d16, 0x2b241e23, 0x2cc83b66,
+    0xa7b0eb3b, 0x0e31eda7, 0xc4dfe4a6, 0xdf14f992, 0xf6d51d42, 0x90f8f8c7, 0x03c3d2da, 0xc81a7168,
+    0xbb124c8c, 0x726facb8, 0x75b8584d, 0xbbdfeac2, 0xe622774c, 0x1c5330a1, 0x09df55c6, 0x3558c51a,
+    0x34429f20, 0x1802e8a2, 0x726bc63d, 0x4f384a6e, 0x7f8e072c, 0x415199b0, 0x89849946, 0xe4970878,
+    0xa31752a3, 0x13dd7a8f, 0xb985d37e, 0xbfea681a, 0x9c67f616, 0x0cb1bbda, 0xe5a31deb, 0xe6e3ca50,
+    0xafd96323, 0x4d6eb830, 0xf5420764, 0xc67b749d, 0x900e63b2, 0xafcc1da1, 0x3000b59c, 0x8d528ab3,
+    0xd7143ff0, 0xda9b2e38, 0x89856c1b, 0xeb5e185d, 0xfaef1c25, 0x028b648a, 0x068e0059, 0x60d3c6cc,
+    0xd0966143, 0x6f86d786, 0x8df3ffc1, 0xe4d6a137, 0x14a3e5cd, 0x5426618c, 0x9bb52d08, 0xcaf8e5c5,
+    0x039d4983, 0x089e50a0, 0x5bb903a9, 0x0bf35987, 0x9371ff0a, 0xa1df5ce6, 0x706849e7, 0xfc03b882,
+    0x8366afb9, 0x84e30efc, 0xa009c577, 0xf97d3a1f, 0x3c5119ca, 0xb518872d, 0x29f6c289, 0xf06f1577,
+    0x94ede4e9, 0xef1b2e94, 0x1ade9199, 0x07f08774, 0x645fde14, 0x19d493b1, 0x5c12817d, 0x47b43a27,
+    0x2a5cc935, 0xeb6b1075, 0xdfa85651, 0xfc55a912, 0xa94607d8, 0x27d14dc5, 0x1aa6678e, 0xc2550d5c,
+    0x00000000,
+    0xca11b7f9, 0x52f429eb, 0xdb41549c, 0x2ae0c5c1, 0x9af02162, 0x187a62f9, 0x49537f7d, 0x4c52b16e,
+    0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000108307409926594330452281804068089207165485823256867\
+                          83496759685861775864483615725089999900023844295226942934417817982702456930304 */
+  { 0x00000000,
+    0xd29fb371, 0xc0ca62ef, 0xe7e7a4ae, 0x2c02de71, 0xdeba10bd, 0xfa8fab3d, 0x2126a910, 0x51a0b57e,
+    0x159cfcad, 0xd058fc3c, 0x065d0613, 0xc8887a30, 0x7f4d5f6f, 0x340f8c94, 0x6adc6f3a, 0x1c789896,
+    0x69fd27f3, 0x1bda3273, 0xd8e4553a, 0x10a704e4, 0x1129c899, 0xa115256d, 0xf4c47dda, 0xf4c00b89,
+    0xf570589d, 0x9291980e, 0x179a5011, 0x6ef4833b, 0x421971f2, 0xce7597aa, 0x1046def9, 0x07f2e234,
+    0x58286717, 0xfb2e5d9d, 0xf81b244c, 0xb528fe9a, 0xb6f84104, 0x6ac3e233, 0xa58ffe26, 0x3da81b4a,
+    0xba4c728a, 0x720d619a, 0xef308f98, 0x6c5d0771, 0xcdbface7, 0x557ae5e1, 0xf681e8c2, 0x64a3d8e9,
+    0x41d8ad85, 0x12a4e273, 0x37ff7ed8, 0x17e839df, 0xbf77a541, 0xb09760b9, 0xe7412d6d, 0x140bab4b,
+    0x2d758868, 0x235f6ecd, 0x40eddf66, 0x83803d5f, 0xb257f54c, 0x4a9d1d3a, 0x52bb3b60, 0x057271f0,
+    0xb42ebd93, 0xf2724d0e, 0x3a216e48, 0x946b7208, 0xf1a264ef, 0xa614b6f2, 0x6d7ce44e, 0x2151521c,
+    0xfc151d00, 0x33b0538f, 0x16348cf0, 0x5893365a, 0x5fdeb4e0, 0x253f5a75, 0xd1701ffa, 0x6449e73d,
+    0x73c5f011, 0xc3f181a6, 0x8721d830, 0xc6903394, 0x857eea7e, 0xd5d9ba9d, 0x1c750dc7, 0xce6e1639,
+    0xc0aa6501, 0x10b872de, 0x84005d4b, 0x61e9b594, 0x08785a62, 0xef539749, 0x955d6a66, 0x2d733132,
+    0x3b080408, 0x2b91f7ec, 0x37f20675, 0x045f83d8, 0x1bbca6f9, 0xfe823cb2, 0x7a64d590, 0xecb52a9b,
+    0xc9291acf, 0xe81e3a97, 0xf4e8825d, 0xb1f7b550, 0x448b1a3e, 0xd85cfcf8, 0xaf395f4c, 0xc1044cce,
+    0x88b56385, 0x0c9c1475, 0xef86c00c, 0xcffbeec0, 0x32f7e692, 0x92a1ebf5, 0xf5768d75, 0xb745df4b,
+    0x90b72ff9, 0x2d591251, 0xb6f5769f, 0x69db7c6e, 0xa4c190ab, 0x0a44c32c, 0x7c13fbe9, 0x9a2adf0c,
+    0xa1bfa04e, 0xb745146d, 0xb457925a, 0x9d2d5215, 0x5d302e18, 0xbfcf907c, 0xfda43048, 0x00eaf01d,
+    0x891bc149, 0x42b93472, 0x815f324a, 0x35820f8f, 0x15efeedc, 0x0e22d04d, 0x79e6e4d4, 0x00095e7a,
+    0xc1301ca4, 0x8989c2e6, 0xf524b4d9, 0x9cc13e4c, 0xd1b5a24b, 0x734a3a8c, 0x259d1afd, 0x84f7df70,
+    0x5ab73f74, 0x21008b0c, 0x45d36096, 0x82a1a239, 0xddd39e40, 0x81130d41, 0xd8f50afa, 0x52ec31fc,
+    0x4f3af14b, 0x2349be44, 0x96d73463, 0x3513d5ad, 0x8166c7ec, 0xcc141124, 0x3c5ad5a1, 0xa837b7a6,
+    0xcd9bd30b, 0xdbd4ca31, 0x4dbd4b79, 0xc95dcd62, 0xb4b9ff7b, 0xeafa4a7c, 0x111fd6cb, 0x211773a9,
+    0xadffc7bd, 0x01f3fb95, 0xacc0316c, 0xf38bffe0, 0xeb644199, 0x5cee48a2, 0x451b472c, 0xa9bd6a40,
+    0x87ad4bb5, 0x0b09dfa2, 0xc485eee9, 0x52214734, 0x97e4c8c3, 0x0f293ce8, 0xff193fa5, 0x7caf7f4e,
+    0x4f7e0236, 0xaf5399af, 0x4e52c0eb, 0x351f5a48, 0x32cdcc63, 0x14329a60, 0x020aaaa3, 0xa1880d70,
+    0x4e81aa1e, 0x3ef1a706, 0x43fa9d57, 0xf25dd527, 0x3c059424, 0xc7937568, 0xc0955719, 0xbc912124,
+    0x335006c5, 0x3c938c95, 0xef291a73, 0x0fe554e1, 0x049d2fe4, 0x07f3e1b8, 0x694a30d5, 0x8ccf74fe,
+    0xb185994c, 0x64e88617, 0xa4eae0dd, 0x4cddd1ed, 0x285b034b, 0xce383b86, 0x7ec4c023, 0xdc3acf67,
+    0x95c49ebd, 0x5a647583, 0x8a966d7f, 0x1f062fb3, 0x4f21b28c, 0x534f1654, 0xef4a2c76, 0x1445adc8,
+    0x108dad7e, 0x71525b3c, 0x84ee9607, 0x6f7ca1a3, 0xc006bded, 0x285c5bf9, 0x532240ef, 0x1ec4fcf5,
+    0x775339d2, 0x5e73b2e6, 0x9b744c4f, 0x15858490, 0xac89b5c7, 0xc8c2a754, 0xef5fdd37, 0x6bf456c3,
+    0xa05f377b, 0x443afa68, 0x4851dc8a, 0x01c94903, 0xb55c43fb, 0xf3a45b5c, 0xef774eb4, 0xa0ddb942,
+    0x4c065422, 0x0a7f3b15, 0xeb3102bb, 0x2f5f9e54, 0x25ee9ea9, 0xf540dedb, 0xa42e690b, 0x010da96a,
+    0x24f464c8, 0xd162705a, 0x093882ee, 0x3a78b322, 0xc9546a9d, 0x8190f628, 0xdca40156, 0xa10c3bb1,
+    0xfbf5484f, 0x70d798a5, 0x9a167523, 0x23f8f8c6, 0x1c283946, 0x0a5f990c, 0xb7e650dd, 0x549eb4b6,
+    0x4618f9ae, 0x2fdb8e7a, 0xea5277ef, 0x86877271, 0x999db41a, 0x737387d5, 0x7d741808, 0xcf5641b2,
+    0x9fde6e39, 0x15a5e81f, 0x9403142e, 0x51c0c8ff, 0x9f4cec13, 0x52627992, 0x69c4ea85, 0x358a690f,
+    0xef2b54b2, 0x24506e5a, 0xc71a1215, 0xbab7d1ee, 0x22893cbf, 0x9e426d19, 0xa525acb2, 0xc337b1de,
+    0x13a95b95, 0x3762c86c, 0xe72f986a, 0x4a277879, 0xb6c5f9b4, 0x3a45b007, 0xca6a627f, 0xfc612f91,
+    0x16a5cc81, 0xb6c3e259, 0x1a6fae0b, 0xd058206a, 0xe823e0ef, 0xe0716682, 0xbea2109d, 0x62c2e13f,
+    0xd57c1b08, 0x4dc91729, 0x0791d037, 0x95e24b0f, 0xc96563ad, 0x89acbf89, 0x7bf4c929, 0xfa7e2c54,
+    0x10d3da3b, 0x43728de1, 0xd00277de, 0x5a625108, 0xcb16cc29, 0xa883c109, 0x553c8808, 0xc5b937f6,
+    0x28c5220a, 0xf3ed4185, 0x68a685df, 0x93704642, 0x0ab9115a, 0xa88e39de, 0x25a4108e, 0xa307f3f1,
+    0xa39685b4, 0x6a988c1e, 0x1cd4ce0f, 0xb852967b, 0x48ee1400, 0xb8b68c38, 0xfe25571d, 0x239f8623,
+    0xc54de622, 0x4344e314, 0x7e96f2eb, 0x393ee9cc, 0x87cd42a2, 0x542e4e31, 0x6ec9056d, 0x8f32d840,
+    0xa754d171, 0xbf4bb20a, 0xfef4b769, 0x70721d8b, 0xfa97fa62, 0x17a3a614, 0xc3ef4e2d, 0x5ccbeb81,
+    0xc051e7ca, 0x9bda9e78, 0x44089180, 0xaaaf5597, 0x9125d10a, 0xec292c4b, 0x2d8bbc0f, 0x545e705d,
+    0x021ed05c, 0x51b86968, 0x9523c53e, 0x4b163f76, 0x7cad1f82, 0x92f37a19, 0x35ef3641, 0x4ff8113f,
+    0x4183245f, 0x66186799, 0x48d24f28, 0xaf915fdc, 0xa00ae42c, 0xf2bff238, 0x5fee0327, 0x1d313d9e,
+    0x000f707c, 0xb52e42a7, 0x9b2a7d78, 0xc6539747, 0xd76dd417, 0x7643eb28, 0x1750e18e, 0x337c7f99,
+    0xdb908107, 0x42aadc9b, 0xdefb7884, 0x07b18f41, 0x013babb2, 0x81b8e6a5, 0x7c9b717e, 0x59bbae95,
+    0x9133f1d2, 0x14540d25, 0xda6675d1, 0x06886e82, 0x70ac1bbb, 0x79cbb52d, 0xff4cb18b, 0x0b3f926b,
+    0xd4bb0cf5, 0xbd06d124, 0x0dde8df5, 0x90682a59, 0xa621aa18, 0x5ec762cc, 0xbed599f9, 0xe6d58001,
+    0x4fb6cac8, 0xbd74849e, 0xe9358957, 0xc5150043, 0xad8a1df7, 0x1fecca11, 0x08ec50b1, 0xa9d72dd3,
+    0xeaae4e2f, 0xd71a3e0f, 0xf9870a53, 0xffb7c1d5, 0x2d5c8068, 0x4e705f2f, 0xc741dc18, 0xa3e5ed3b,
+    0xe8aad77c, 0x20ce2390, 0x53555276, 0x0a4bca98, 0x72b3eb28, 0xaf641d59, 0x7bc43fae, 0xef93160c,
+    0x8d899a96, 0x52bb8307, 0x9f1d3230, 0x3e7951d8, 0x43cdceb6, 0x04de176e, 0xd95866ab, 0xd4a4d47f,
+    0xd99a146d, 0x6499b77a, 0xeaa06ee6, 0x987b8f25, 0x70e5bc0c, 0x1c6f81ea, 0x2c873efd, 0x20a47ee3,
+    0xcb58fbe3, 0xa2005fb7, 0xbd18ff84, 0xe47e6c8b, 0xfc5b8722, 0x811f3ead, 0xf30323da, 0xf8ad2ec5,
+    0x2dfaefbe, 0x5e399084, 0x8ab75da0, 0x2669c4f9, 0xb1cac4a5, 0x54ceb865, 0xb6e406bd, 0x7c130fd8,
+    0x9e1d9b83, 0x098ce6f3, 0x6585b379, 0x9f4a3faa, 0xab7ffa6e, 0x11072a60, 0x3172c4e2, 0xcffc7394,
+    0xb5504cab, 0xd433360e, 0x96a11a24, 0x91d77686, 0xe5b34010, 0x0e3e0686, 0xa2718dfa, 0xdd6ac748,
+    0xb3b3e344, 0x143e63c7, 0xc66be77f, 0x19fce785, 0x9dcc7d81, 0x401a815a, 0xe585d116, 0xb58130af,
+    0x9a663f7c, 0x3a660b43, 0xa925a07d, 0x427badc4, 0x8caf6da2, 0x79987011, 0xf1bac153, 0x55479d98,
+    0xcb10c970, 0x3842d1d4, 0xdaddbeb1, 0xe6b6de70, 0x3b2e5efe, 0xf70fca53, 0x2e6c19a3, 0x0baa2342,
+    0x2acc2fe8, 0xd87866d4, 0x09d6e777, 0x992d1c45, 0x04901ff0, 0x7295e441, 0x8c7790a5, 0xd616591b,
+    0x8b89a151, 0x3d9626eb, 0x629718f0, 0x519b7a5c, 0x95288316, 0x3b2c7634, 0x025e6ca9, 0xbfb108bc,
+    0xf8d8763d, 0x6b7d083b, 0xbfc4c7d2, 0x4d8bbe26, 0x3ce34910, 0x93332b47, 0xce217fc8, 0x6d1e5f99,
+    0xc51c11fe, 0x60ce44e6, 0x072e5948, 0x0ff52373, 0x573cd930, 0xf734ee08, 0x0e92919a, 0x2e10285d,
+    0x7c88b57d, 0x2c79c42b, 0x6f22de19, 0x0c76b830, 0xa57fb123, 0x37759d7f, 0x7f9adcea, 0xe136608d,
+    0x8b5db3ee, 0x4d694e0c, 0x9dd1ff08, 0x20852a5e, 0x15df9d77, 0x9cb533da, 0x1500f641, 0xb25f1ce1,
+    0x52ed1e92, 0x130e702c, 0x3fee9f78, 0x673e1b9a, 0x131ec211, 0x3fe80c0a, 0x93a6da30, 0xe64588a0,
+    0x8d313177, 0x7fc10bb3, 0xdbd67408, 0x4d93046a, 0x72e7af2c, 0xea8b4659, 0x11305747, 0xbea2add1,
+    0xd90fdb00, 0x0eae885c, 0x14fdde14, 0x7f55e26c, 0x9b9714bf, 0x28866a05, 0x123bebb7, 0x567bbcf4,
+    0x305fb60d, 0x8ff12805, 0x6770d7df, 0x65d19a3c, 0x569fdf31, 0x5d08218c, 0x3ca6584d, 0x11ed76ab,
+    0x9e045a65, 0x89c0552e, 0x629256c9, 0x3eb96fae, 0x175b72d9, 0x6c0302a5, 0x915fdea1, 0xde415ac0,
+    0x2cea0fa7, 0x6139c829, 0x6c84585f, 0x57f443c7, 0x77d1bff6, 0xd59354c4, 0xc4c58bca, 0xa9d29a79,
+    0x5fde77ca, 0x7de00373, 0x90bccbb0, 0xa2487406, 0x2e392842, 0x7fca96d0, 0xa20097e3, 0x68a387d9,
+    0x49c27a69, 0xeca13033, 0x062d56b6, 0xd4a3a0a5, 0xd7fd1e59, 0xb16db7c1, 0x5276c7ea, 0x099b474a,
+    0xa65c6dbd, 0x8dd6c5bf, 0x828987f1, 0x862e56bd, 0xb0f9365b, 0x058abab7, 0xaa54b20e, 0x6d0df246,
+    0xb2215078, 0xc94f8bfb, 0xe1511100, 0xb8aa52cd, 0x67183aeb, 0x8ee8ba02, 0x78dc679a, 0xb03516d4,
+    0x799c9b1a, 0x5915d269, 0x731aaf70, 0x0cc23c06, 0x4e61fba0, 0xeeee0677, 0x1946831e, 0xdcec6555,
+    0x368c9397, 0xeaa5cc52, 0x0fcc6de1, 0xd399133e, 0xd447abf1, 0xb81f121a, 0x30493392, 0x910f2779,
+    0x05e9157b, 0x3a5e1386, 0x962b6c75, 0x2c4ff57f, 0x4f0f001e, 0x93b67172, 0xec65ef71, 0x07e4a67e,
+    0xd33979f4, 0xfd6551aa, 0xb76d3772, 0x8955ba10, 0xac8a4a0a, 0xc114ec52, 0xc0a6c257, 0x686c93f0,
+    0x7f63eafe, 0x827ca86e, 0x78751b3e, 0x994468c5, 0x4900a598, 0xf8089d05, 0x70dc1367, 0xb209277b,
+    0xc7f23b33, 0x1521b1d4, 0x5366c4b0, 0x694a1606, 0x6633fd6c, 0x6fe2f5d1, 0xdf57da41, 0xb42ae6fd,
+    0xd21dbb0c, 0xc1f9b632, 0xed4e8736, 0x0ca587b7, 0x599f5bd4, 0xbcf541dd, 0x42f7d402, 0x6d126fb9,
+    0x6fd3cb74, 0x11b15174, 0xb30d2bed, 0x45f0ce70, 0x11255ac3, 0x6736d1e0, 0x10d5c157, 0x35931c70,
+    0xf15479c8, 0x74ba1482, 0xc6b877dc, 0x020902ef, 0x1af96f29, 0x64b1853f, 0xe98340fd, 0xc83ba1c8,
+    0xa7d04a66, 0x2ca99a39, 0x60c2d539, 0xed36e816, 0xc5c70044, 0x2e20f24d, 0x45f31170, 0x3b0fa1a8,
+    0xa4e663f0, 0x243fcea9, 0x26b91e2e, 0x9d44961e, 0x4af78e8c, 0xc6c8cf89, 0x3c20ec1e, 0xb6c2300b,
+    0x68f1d6c6, 0xe49c5536, 0x3687ed30, 0x3ad059d8, 0x75caed3f, 0xd8d84331, 0x1e5e0b4f, 0xc089c5c5,
+    0x8179260e, 0x63311424, 0xd3771fc8, 0x067954f7, 0x1fbec07d, 0x28cc4eaf, 0x1cbe8fdb, 0xd324bf4e,
+    0x33a2e035, 0x754fd136, 0x93569f79, 0x72ee62a4, 0xd945de96, 0x318b1f3b, 0x2b994fb3, 0xdced003d,
+    0x119d9d44, 0xbd2b1227, 0x1e325b47, 0xd0a0c819, 0xc48b2c3c, 0xe677a38e, 0x738c60a0, 0xd9cbf0e0,
+    0xcdf47bde, 0x624fd6e8, 0x2860dcdf, 0xd66e64de, 0xc5641579, 0x7a62c50d, 0x486ba79a, 0xca793e0b,
+    0x0701f156, 0x332765bc, 0xfc5176c0, 0x2871ff11, 0x77a82ac6, 0x3998021f, 0x84158c73, 0xd1587440,
+    0xdd0090b9, 0x434249ba, 0x67c3d082, 0x5bad91d7, 0x2473af84, 0x0f64e2f8, 0xfd4e73c4, 0x4c20c806,
+    0x8d0f05b3, 0xbd62c76d, 0x4d000bc1, 0x672d5f0b, 0x1565c742, 0xfd779071, 0x084bf79e, 0x870669bc,
+    0x83ce8c11, 0x3a7addce, 0xa0dfc678, 0xdcc88d72, 0x65181f44, 0x3cea5d25, 0xac0b609b, 0x83d01ee9,
+    0x094dd4fd, 0xe006cd3d, 0x86bc7733, 0xb877077b, 0x5243b19b, 0x9a9c6e60, 0x0dde80bb, 0x80333697,
+    0x2bad9dc1, 0x99b58991, 0x5f40eae6, 0x1626cc7e, 0x401a73d0, 0x2b36a140, 0x36c208fb, 0x443b6fcb,
+    0xa804b3d9, 0xf73901ce, 0x7c384aaa, 0x6d425522, 0xa8fdce4a, 0x176c663a, 0x2c33f752, 0x1cca3955,
+    0x69c0e629, 0x1399082c, 0xa7c52008, 0xfa8ac7f1, 0x51af92c8, 0x7acffa23, 0x24a18cad, 0x700ab29a,
+    0xff35780b, 0x87ebe271, 0x4c4e2ae0, 0xfc2eb1d3, 0xeb5030c6, 0x02ed2592, 0x348c0152, 0x3195c53e,
+    0x3c2de6a7, 0x3146c774, 0xb9383cfc, 0x6ee6d3ac, 0xa70d5666, 0x173c4754, 0x7cd8ab62, 0x1f84ee60,
+    0x6b8dceba, 0xccb73d6f, 0xed2f169a, 0x4cb26988, 0x65ccacfe, 0xbe22c245, 0x44a5a454, 0xa62e3df6,
+    0x353dba33, 0x3d161de0, 0x0208a521, 0x4b6211a9, 0x3516bc6d, 0x68f431ff, 0xe51671e8, 0xe213ae7e,
+    0xab03909b, 0x17505885, 0xac64f9ae, 0xc6873a2e, 0x402b99ab, 0xe22ba366, 0x9ff33809, 0x4261a830,
+    0x8fa8b1fa, 0xa96ef45b, 0x88e6cfe1, 0xc5e48e73, 0xec77d633, 0xab2f6f83, 0xbd54786b, 0xe2643fe0,
+    0xdcfde8e8, 0xe4564db8, 0xc6be64d2, 0x9d224d6b, 0x40cac755, 0x8de4529b, 0x6a6ff814, 0x79de3755,
+    0x42d8dc79, 0xc592d67a, 0x31cb2f0a, 0x8302f638, 0x8d13ad87, 0x1d6bcd63, 0x7561a30a, 0x7c9b2512,
+    0x3bc11830, 0xc12f80a2, 0xe0b1bfbf, 0x94fd46c9, 0xf262eebb, 0x673f0d38, 0x55444bdb, 0x22ef8147,
+    0x87bd2bf6, 0xf19aa6b9, 0xfb4a2101, 0x0bc4188b, 0x3f711d42, 0x282462a8, 0xf02fc4b2, 0xe4d64612,
+    0x9a5153ab, 0xed529d08, 0x665ffbe8, 0x87a52740, 0x21563cb1, 0x4b08dcba, 0x6affeed7, 0x1386325b,
+    0xec3ce89e, 0xfe4ee3f0, 0xea42dcf0, 0xdf4897c9, 0xb6818436, 0x063ab640, 0x3f157e12, 0x34393a77,
+    0x13178bb7, 0x0ee68204, 0xbbb6e416, 0x2bd45c5f, 0xe6613e16, 0xb9fca41f, 0x7a208fca, 0xb398ad61,
+    0xca53c5a8, 0xc74ee9f9, 0xf64a987f, 0xcadd4b3a, 0x84992bce, 0x758c101b, 0x12b4a45f, 0x2bce0140,
+    0xf84a015b, 0xee1832dd, 0x90375e32, 0x8d1f20ca, 0xc08dd011, 0x9ee88fc9, 0xbd4c5b11, 0x9287a324,
+    0xcde64671, 0xef18da1d, 0x0c032b4a, 0x4abdc77a, 0x4a4af9e6, 0xe6a4032a, 0xea7f0f97, 0x2fcb516d,
+    0xbfc55dfc, 0xe753b0a1, 0xc353c7bf, 0x1669fc5d, 0x54288dc6, 0xc35bb6c7, 0x35a8bb2f, 0xf8538731,
+    0xd20614c8, 0x48af5049, 0x35d6e385, 0xae2914b2, 0x5f7e239e, 0xdb300f56, 0x21788927, 0xa607de06,
+    0xaa567e9c, 0xbf0ffcdd, 0x64e5975c, 0xdada6365, 0xe5217f73, 0x214c7312, 0x8e0e7690, 0x07c1b14c,
+    0x6dd5c957, 0xe61a61f7, 0x1b8e0438, 0x6839de9a, 0x002d5a66, 0xb1b58d24, 0x0306f908, 0xda6e0812,
+    0x43b6d5d4, 0x410e6b0d, 0x4f2db582, 0x3dad3ec7, 0xfe8182be, 0xd48865fa, 0x70c2109e, 0x9db77322,
+    0x00000000,
+    0xe508dbfc, 0x297a14f5, 0xeda0aa4e, 0x157062e0, 0xcd7810b1, 0x8c3d317c, 0x24a9bfbe, 0x262958b7,
+    0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000054153704963297165226140902034044603582742911628433\
+                          91748379842930887932241807862544999950011922147613471467208908991351228465152 */
+  { 0x00000000,
+    0x4dd01c91, 0x54a77ef6, 0x1094a6b5, 0x70c9586c, 0x164b58f0, 0x217622a2, 0x9d3d41e1, 0x8b6d5229,
+    0x990a6233, 0x4285eb51, 0x38654d5a, 0xc52f36f5, 0x8c80cd18, 0xb83229df, 0x780f2fe7, 0x2c153fa0,
+    0x13bf3a0b, 0x0bca887d, 0x31338c52, 0x4290eab5, 0xaceb2a39, 0xc6bbb7d7, 0xd9840f8b, 0xa9d57c95,
+    0x863b416b, 0x25f6ea0a, 0x863a21d6, 0x54b4bcbd, 0x72d0b14d, 0x868a16e5, 0x110098ce, 0xbbc7e141,
+    0xbf93e1d9, 0x4b4d1b59, 0x9e9b01f8, 0xe70777cb, 0x821b146d, 0xa88b4526, 0x0f16f1af, 0x185c2a68,
+    0x1daaa75c, 0x88535f0d, 0x854379f4, 0xb9aabc79, 0x54fb4551, 0xfeb66182, 0xa34d088f, 0x2dce5465,
+    0xef164510, 0x77770173, 0x6adae521, 0x5ce80c22, 0x6d00ee42, 0x63a009f7, 0x8e49d5f4, 0x54070b06,
+    0x498594a0, 0x2a92542d, 0xcfd40b72, 0xb0901ca4, 0x75cee81b, 0xc2ac14b9, 0xfd6db6fe, 0xcc1215ce,
+    0x0f5ec870, 0x531313e0, 0xbd83cc25, 0xb46e2a5b, 0xf35d85ed, 0x6e6cdebc, 0x15c0ca5f, 0x6fb157fa,
+    0xc1325f0a, 0xeca6ba72, 0x44ce1550, 0xf4b65f45, 0x15e32999, 0x6d34f1f6, 0x038e94ce, 0xa28afc99,
+    0x56cc7145, 0x364aacad, 0x2f0f1611, 0xb64101c3, 0x42791342, 0xf9f5e023, 0x56d6e46d, 0xdff53705,
+    0x8dc967d4, 0xa15fd8b7, 0x59ba8cc7, 0x247dd254, 0x9dfb315f, 0xee85990c, 0x63eceb49, 0x9baa9b14,
+    0xae7e5743, 0x329b0cda, 0x6b883476, 0x55f166f4, 0xadc738c5, 0x947a4cc6, 0x50d8daf4, 0x196d99ef,
+    0x5b18599b, 0x5b108a8c, 0xabd61725, 0x0836ca32, 0xd01e4595, 0x1340f339, 0x042cfe8a, 0x8ad2e637,
+    0x5aa9da22, 0xc86036ef, 0x3058a7c7, 0x15996b24, 0xbeb1256e, 0x2925a482, 0x4f3ba1d4, 0x5bd3ba99,
+    0xcb393930, 0xd850d4d9, 0xf56c118d, 0xdd387a96, 0x5b182c92, 0xbdfb8147, 0xcd2f6bef, 0xccc52985,
+    0x350582e5, 0x05f10b18, 0x49d34816, 0x0e748697, 0xf8804798, 0x67574573, 0x24670d28, 0x21ec2c9c,
+    0xdb9132ba, 0xd832232b, 0x2749309c, 0x90a81923, 0x2f76a7c7, 0xf3328f21, 0xc0e37ded, 0x2c990de6,
+    0x187d7c39, 0x62805975, 0x3cd2e3a4, 0x51424a62, 0xf2660f6d, 0xda21ca31, 0x12eea8d8, 0x5b13d2f8,
+    0xe6839fb9, 0x290b7c83, 0x5ac883ca, 0x51a09c04, 0x5c270e64, 0xb97b31ef, 0xbbcb050d, 0xb9a639c5,
+    0xfadc2acb, 0xc24fa2b1, 0x44182e2c, 0x284588b9, 0x3c81d8e6, 0x245ca10b, 0x9a177b0b, 0x14039236,
+    0xa90aaf69, 0x1246e106, 0x32ac941f, 0x4d334d0c, 0x47b0784c, 0x39222d6f, 0xbbfb94cf, 0xe4115829,
+    0x64af75da, 0x27988796, 0xc5b663dd, 0xf8068877, 0xc65d87a5, 0xb8114054, 0x225f4891, 0xb6c96d0b,
+    0x12c022d6, 0x5dd28a21, 0x2bdc7432, 0x5544dae3, 0xa3b544ea, 0xcea9784c, 0x946ab2c6, 0x273826c6,
+    0x004287c1, 0x240e7c3f, 0xeec74a55, 0x10c25d97, 0x55503f65, 0xff7a524d, 0xa83a4e85, 0x23f907ed,
+    0x065c0023, 0x467412fc, 0x51bc2736, 0xd1a6ce38, 0xbabff81f, 0x530f1d54, 0x322e3581, 0xfc3806ff,
+    0x89fc80d0, 0x8af3f543, 0xb1ab8c6b, 0x153c703c, 0xb6d06740, 0x4898cdf6, 0x1e4f8328, 0xbb854db4,
+    0x649a9c6d, 0x9f611308, 0xef2c0cf0, 0x4e295620, 0x156a3c31, 0x43a7ef11, 0x9ff979ea, 0x1045cb22,
+    0x025a6599, 0xb99e39ce, 0x217f2e5e, 0xaab8ff73, 0x16e68ca8, 0x5b543e07, 0x2dec34e2, 0xc0731662,
+    0x3090f222, 0x78246600, 0x7d2ebfae, 0xa278ce16, 0xfc13e568, 0xc6685316, 0x4fe46285, 0x66a5b118,
+    0x95370408, 0xaa6d071e, 0x07f72080, 0x5c23b760, 0x5c96986c, 0xca6047a4, 0x77ab352e, 0xb3330628,
+    0x7a333db9, 0x841df26d, 0x7ccfda6f, 0x765d9a3c, 0x00846718, 0x10ab9666, 0xa1060356, 0x0799f894,
+    0x25bc25f2, 0x0edbcf22, 0xa3fcf2f3, 0xd87d9b2a, 0xcc7ad186, 0xfd58da94, 0x8bf85368, 0x0c5b6305,
+    0x970c083a, 0xb144bfe0, 0x67f6acc6, 0x1bac798d, 0x95eb2541, 0xe16cfded, 0x0763d6b4, 0x48f77757,
+    0x043d59a1, 0x95bc5be5, 0x9004b834, 0x5535d031, 0x914c076b, 0x93e31a46, 0x19b6ed96, 0x669551d0,
+    0xfdbc7445, 0xb4d01b40, 0x7ee20e47, 0x2ed1a51c, 0xf889e327, 0x80727956, 0x90b38c91, 0x7fb87e08,
+    0xfb794886, 0x0f311c52, 0x77a88bdd, 0x0b38c851, 0xfc648058, 0xa21eb979, 0x991377a1, 0x1d3b8b15,
+    0xe23ee017, 0x47fba55b, 0x11b98298, 0x2c68b08d, 0xeb2ae646, 0x4b436a4b, 0xb6db8209, 0x3e1daedd,
+    0xcb178255, 0xb8d23484, 0xb5e9188d, 0x9a735151, 0x2dc44d91, 0xc6ee40ec, 0x9423e157, 0x8e98fe91,
+    0x00656f66, 0xaa325984, 0x3f38b0cd, 0x729c0b18, 0xcc339d18, 0x809b1a91, 0x67631f19, 0x5f45d15a,
+    0xb7098642, 0x316a1ee0, 0xb8bdcdf4, 0x8e36fc93, 0x24ea4d5a, 0x9b6e8867, 0xb1c90ab6, 0x7a386903,
+    0x713f49ff, 0x8fdb473e, 0x6236622d, 0x7ca40ca9, 0xc0726862, 0xef0b0d83, 0x538ea500, 0x29a7798d,
+    0x74f01e2a, 0x00d572bc, 0xe63bb53c, 0x8c7fbf57, 0x45475612, 0x4b7e50a9, 0xe2e8e6b5, 0x9ec9c743,
+    0x9d8ec2e2, 0x62876dc1, 0xa2a19a8a, 0x78107324, 0xce39e813, 0x878eba57, 0x9535611c, 0xadddea2d,
+    0x8ea345b5, 0x6949fd19, 0x8c0ebf78, 0xf0ac358e, 0x9070818e, 0x5addc597, 0x4d42e1d3, 0x0e019006,
+    0x8c6aca56, 0x3eaac857, 0x188f85f4, 0x2da0c5d8, 0x22473aa1, 0x27f71c8b, 0x3c5dc121, 0x4d470ea8,
+    0x7cece8b5, 0x8ce917df, 0x2e004865, 0x897abdab, 0x6d830a72, 0xe5f85423, 0x2f243396, 0xd800a2f6,
+    0x1f101967, 0xd34261b8, 0xb3894c6e, 0x169a4c51, 0xab286e1b, 0xd0af168e, 0x5ebcb098, 0x91451de6,
+    0x03d8b296, 0x57d49132, 0xfb75f7a8, 0x76f65cc2, 0xb338d394, 0x108ad8f2, 0x71ac3c5d, 0xc31aa786,
+    0xead86392, 0x1314aa11, 0x87777d7d, 0xcb09c291, 0x10555dac, 0xdd8ac48e, 0xc2cf5939, 0x6098aa8d,
+    0x2b4e32d8, 0x36bac8aa, 0x7162e307, 0x2e6613b4, 0xd7f8f4d5, 0x52ab8734, 0x8359e551, 0xbdfdb9b2,
+    0x1015bfa3, 0xac1891ac, 0x2795599a, 0xfc81821a, 0xc33a39fb, 0x9a4965ea, 0x15a77117, 0x3bd91f4d,
+    0x06322098, 0x9cb81abc, 0x9876417e, 0xd3d92390, 0x58960e00, 0x041ab310, 0x00475c42, 0xe4fa2ec9,
+    0x9305c78f, 0x5d13f929, 0x072f4a6c, 0x244f0d24, 0xfa40cba9, 0xf3ac21fb, 0xeaefc461, 0x3003e546,
+    0x5e770699, 0x0803f23b, 0x3afce7a3, 0xe553b637, 0xa6cb0285, 0xd61372fb, 0x84e0e08b, 0xc5d507a6,
+    0xe274c3d5, 0x9fa93121, 0xde3ea9c1, 0xe8fabd11, 0x00593a11, 0x97a035e2, 0x98ea4d7c, 0x490639be,
+    0xd5959cc8, 0xe82ed8c1, 0x9d9158aa, 0xe7164359, 0x347eaeac, 0x63c6acfb, 0xc99b670e, 0x8e7b36ed,
+    0xc0e79484, 0xe385c2ed, 0x859fc781, 0xac91b7cc, 0xd9a29665, 0x894dee3f, 0xa3586bc6, 0x7c367f50,
+    0x312b3e17, 0x0da0c399, 0x8540b49e, 0x37e1529f, 0x9c88b136, 0xbaa1937b, 0x45e334b2, 0xa7dd9398,
+    0x02b821c6, 0x19a3150e, 0x90322f83, 0x1a41fe54, 0xc59532f4, 0x74c145de, 0xd8e848dc, 0x384ee767,
+    0x692a0e94, 0x4a9b2c1a, 0x4a27258e, 0xded48f73, 0x73bf9c47, 0xeefbc462, 0xc355daaa, 0x51315c3f,
+    0x5fcef063, 0xb73f8a5c, 0xe941c485, 0xe672cbd7, 0xa068fe70, 0xb977e8c1, 0x789d50c1, 0xbd1cb4c5,
+    0xfb058bdd, 0x489a53af, 0xfafb2fcd, 0x3904a7ab, 0x2bee5e37, 0xe29704ff, 0xcffce7b3, 0x199e1719,
+    0x13e4b78b, 0x265e6f87, 0xec93511d, 0x008c1f21, 0x03c433bb, 0xcad2ecad, 0xa87582c7, 0xf83dc09a,
+    0x4a5fc855, 0x7b1b69c1, 0xb5adedd5, 0xfbc4d9d0, 0x7bdf578d, 0x1b35d8c8, 0x24a6ea26, 0x61a7eb2d,
+    0xfcd675cd, 0x9eaded79, 0x9761f5f5, 0xf24eeb5f, 0x46a4dd95, 0x867581f6, 0x0f3e2fc6, 0x581ddab4,
+    0xa6b72a79, 0xa4f03606, 0x85f41f3d, 0xcb809c5d, 0x0e18a9dd, 0x6f5d2c4c, 0x7c2e0624, 0x97df58e9,
+    0x2236031a, 0x57ab9369, 0x04492563, 0x89c9df7b, 0x0945281c, 0x750b7a52, 0x5dcb89e8, 0x6f2b12b2,
+    0x2527048a, 0x1c7817d5, 0x5fdc2d60, 0x6d695a0e, 0x74a9878d, 0x82424283, 0x560e24e6, 0x7f547f57,
+    0x25adad0b, 0x7ba585aa, 0xa3eb3d1a, 0xc3649be7, 0x9a3e1af4, 0x907a1ab6, 0xd7f9a52b, 0x983af311,
+    0xe7423400, 0xefd4fe7a, 0xde744653, 0x0ad62738, 0xe22c3584, 0x6b48e2ca, 0x0bdc74a8, 0x47dd4902,
+    0x0a0dde41, 0x9bed6660, 0x05d5e309, 0xd5aa17ab, 0xe9bc05ee, 0xdad89c59, 0x9c344279, 0x5c4787d5,
+    0x9a99232c, 0xcc612f63, 0x1e424eb5, 0xe14efe88, 0xdb591345, 0xdb33ccd7, 0x8dd98e46, 0x5d18abc8,
+    0x214d2f11, 0x664b92d6, 0x1200c19f, 0x45c36210, 0x760115ec, 0x4e022946, 0xbdd61f4f, 0x63173166,
+    0x571be806, 0x0627ace6, 0x9dacd96b, 0x1bab1880, 0x9f9adf8a, 0x44b52db8, 0x58f5fdae, 0x9ace34be,
+    0x99a7e023, 0xd4e0589e, 0x8444961c, 0xc87d1394, 0x7da4320a, 0x4deb4021, 0x9a7937ee, 0xfea7b85b,
+    0x00e856a6, 0xcbfdbac5, 0xeb94c68e, 0x7662f511, 0xa53da757, 0xb1741ed3, 0xb0a2d409, 0x6c825020,
+    0x55c11f7d, 0x23cf7c09, 0x7896e049, 0xa38cab5a, 0xf6b6229f, 0xb56d316f, 0x3cba11ec, 0xcf9fcf0b,
+    0x78c891f2, 0x0fb60bc5, 0x0bdbfaa4, 0x1c4a42c6, 0xc5428c9f, 0xeeb02d43, 0xd00e84e1, 0x2a25ad23,
+    0x54ff99ad, 0xfa29d1a6, 0xeea22802, 0x574312db, 0xe3bcb852, 0x11cb7d37, 0x118a63a0, 0x0208bc1c,
+    0x7711de2e, 0xcebe7ddc, 0x95554b31, 0x3f96d945, 0xc1f73a72, 0x9de82b57, 0x28f1b0f4, 0xac1e1727,
+    0x56961310, 0x49382d8a, 0x791b8a04, 0xfb1f24a2, 0x1e5fbc6e, 0xc6b65c01, 0x344a0e78, 0x8a6394cc,
+    0x1d27b058, 0xa00c6245, 0x6fe43698, 0x5372fe4e, 0x86e94197, 0xc5497521, 0x4dc90e8e, 0x0cb266c7,
+    0x2060499d, 0xc175bdd9, 0x7271b056, 0x4b4768f2, 0x4e26e3b9, 0xf40f8230, 0x155e3c6d, 0xd05e9be1,
+    0x0c54c7a1, 0x9dfc8e8e, 0x9360adb8, 0x5b80853e, 0x3659417c, 0x190aaa0f, 0x9bc83650, 0x1bd3f549,
+    0x5223b1f6, 0x4a1f6384, 0x29a272de, 0xc1dcae44, 0x5fa61bda, 0x0046b67e, 0xaa9b7ef0, 0xc793677d,
+    0xe313d32c, 0x8d1da7b4, 0xfba5e176, 0xa09c0204, 0xd1651a00, 0xad50795b, 0x8f809608, 0xc1fb03c2,
+    0x8afc081e, 0x26e26004, 0x70216c68, 0x7ef35e89, 0x550a5b62, 0x793502c0, 0x3341e82a, 0x461f5b6c,
+    0x87f25927, 0xca7f7fa8, 0xa7745634, 0x74e91f5b, 0xafce8985, 0x76d53e6d, 0xf427b676, 0x92ddcbe4,
+    0x41599a48, 0xbed2f4ca, 0x7889681f, 0x5833daa8, 0x4495ab10, 0xa0e7e630, 0x8af95e1b, 0xcbc4e98b,
+    0xc83cd675, 0x56a3c87c, 0xd67f90f3, 0x155b831d, 0xab348a7a, 0x5bc8d9be, 0x631578e5, 0x23dc3080,
+    0x46411714, 0xcc1636e5, 0x3011b367, 0xbef6f5da, 0xd2e2ecd7, 0x024af981, 0x0dfff1af, 0x44fc2b75,
+    0x56527602, 0x967311a5, 0xc52fe6b7, 0x8c51c25c, 0xd230741a, 0x4b42d009, 0x60cba46d, 0xc2150c6b,
+    0xd17ff9c5, 0xfab38ae7, 0xfc000e5a, 0x9924a0fc, 0x144d7e05, 0x6e0fd7cb, 0xdfb7efcc, 0x0bf1a5b2,
+    0x4a55a857, 0xab237c2f, 0xea2ccf24, 0x7cc8cdd4, 0xc643ea4d, 0xb7611d10, 0x1a62ef7c, 0xdb865743,
+    0x70ab7eb9, 0x1f11aa22, 0xacdadc5f, 0xd46fd6e5, 0x8173cb67, 0x4901a75b, 0x7588513a, 0xa2fa0a62,
+    0xbaf74211, 0x8dc45383, 0x0303495a, 0x4988cd63, 0x0d0286bf, 0x1d0e036d, 0xd0743d42, 0xf08d555c,
+    0x08caed8b, 0x09698aca, 0x979ebead, 0xbdf02218, 0x14b689c9, 0xa4688c48, 0x5e04ec05, 0x3feee82c,
+    0xeb12f899, 0xaa8a4092, 0xcd7c2255, 0xd6dde955, 0x5c7d14c4, 0x0299529c, 0x47ff53ba, 0xe9bacf3d,
+    0xc439132d, 0xad892b0c, 0xc8040ad3, 0xf1db16c4, 0x132419c2, 0xc49fa5de, 0xa59313bc, 0xd4aaf274,
+    0xa21e79f5, 0xecfeec2b, 0x782ae33c, 0xebb05813, 0x80fc7fac, 0x1068b435, 0x1b16de9f, 0xa1b7452a,
+    0x390bd347, 0x28f00a48, 0x4633aa57, 0x648c78ba, 0xc021eb79, 0x4f235934, 0x7993548a, 0x38bef966,
+    0xc587a0fe, 0xbffc39b2, 0x54fd05d3, 0x02e77192, 0xc147b49b, 0xfd66930b, 0x086eba6b, 0xd57c5a63,
+    0xc7336dd6, 0xda499c02, 0x24306f0b, 0x79b67741, 0xddf60b70, 0xe16da38d, 0xa78d63fb, 0xf6cac183,
+    0xe4e5863d, 0xb1281d89, 0x97a01e12, 0x02ccbe88, 0xbe9a9886, 0x461c0f98, 0x871a9a08, 0x6f95113f,
+    0x9ec3b99d, 0x571b2198, 0x45e7c652, 0xe52f6864, 0xa6deaeac, 0x89157beb, 0xef2ccaf3, 0x847dc183,
+    0x99a5c691, 0x640ba4fb, 0x77d8f053, 0xb0263ab4, 0xf70fa8a7, 0x51d439d1, 0x49b03463, 0x1863294c,
+    0xbf68f8f9, 0x66e53c74, 0x5a7d39dc, 0x0dae4f0b, 0x801efa3b, 0x3e84fa63, 0xa363d0ee, 0x6203ace4,
+    0x17705a4d, 0xeb0243ae, 0xf57425a8, 0xc8c699ce, 0x4494d80c, 0x34b8babb, 0x3ca5c857, 0xfd0f13d0,
+    0xe9aa24e3, 0x1d3f1897, 0xcc381e50, 0x8963a9ad, 0xfbbf9a15, 0x089aa4f6, 0x2fe5ef9e, 0x3f3d9ce6,
+    0x2c414fe9, 0x7329d078, 0xadb09ce1, 0xc2406513, 0x48cee029, 0x1bbe773a, 0x7dd24be8, 0x7ee7e476,
+    0xa019b7d9, 0x6629a59c, 0x2f72c13f, 0x26372732, 0xb91942ee, 0x18a59a79, 0xb856d25e, 0x291f6357,
+    0xdb7d955e, 0x8580479a, 0x82a9cc64, 0x76ade484, 0x3d9763fd, 0xa4518ca3, 0x50d078d4, 0x53363a4e,
+    0xb910badb, 0xab2e4460, 0xbb5eb1d0, 0x9fb9e245, 0x4adfea5a, 0xb4393a85, 0x531fe022, 0x0f0d997d,
+    0xbec2d5cb, 0xf79c3a9d, 0x42342657, 0x46e32076, 0x3713fd57, 0x55b2f638, 0xb8375ebc, 0xf9e687f6,
+    0x27181a84, 0xdb30fdd9, 0x0aa9933a, 0x958d62f5, 0xc4d6d1c8, 0x5ea35336, 0xeaef7782, 0x83a0db42,
+    0xabea71ef, 0x4bd148ec, 0x833b150f, 0xb3c8284d, 0xe4ec2067, 0x64065bea, 0x83ef8c61, 0x7b28c07f,
+    0x5b90ef43, 0x278029e8, 0x8223e6aa, 0x28dc8a74, 0x8257ac0e, 0x3eb43d50, 0xc9656a2f, 0x1656b115,
+    0x26ca61be, 0x41fbb360, 0x7be64d84, 0x31f983ba, 0xb392bdce, 0x377d5b43, 0x6d1d1967, 0xfc3168cc,
+    0xb11adc09, 0x443d2445, 0xb90bd73d, 0x6c9ddd5c, 0x6aa5e982, 0xda21eea5, 0x6f0bc410, 0xf0e39a00,
+    0xc76ca13e, 0x33d874d0, 0x920e434c, 0xd496c218, 0xd384cfb7, 0xc6189c9c, 0x02128ec7, 0x18bf4ec8,
+    0x833cd503, 0x3596f9e7, 0x9f63c2bf, 0xd1d5e615, 0x2f24d3eb, 0xf9efbc2d, 0x875eebf5, 0x8fe3d6a0,
+    0xd0ef79c4, 0x0248cf1f, 0xe37b1660, 0xe5136585, 0xd523297f, 0x5f45e846, 0x2e979c8b, 0x85a678dd,
+    0x33eaa8fc, 0x3528b1e4, 0x668e7343, 0xc7e9a745, 0x2338802e, 0x6106eae9, 0x2bcf445f, 0x41809c80,
+    0x94284ad5, 0x05f70164, 0x92677b7a, 0x4f878a14, 0x7b99e619, 0x0b6ce60c, 0xcc6c370c, 0x3bd69e72,
+    0x352160a8, 0xf4684bd2, 0x0e568962, 0xddfb8667, 0xbec171e1, 0xe06da54e, 0x93c98c78, 0xc8efba03,
+    0x00000000,
+    0xf2846dfd, 0x14bd0a7a, 0x76d05527, 0x8ab83170, 0x66bc0858, 0x461e98be, 0x9254dfdf, 0x1314ac5b,
+    0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000027076852481648582613070451017022301791371455814216\
+                          95874189921465443966120903931272499975005961073806735733604454495675614232576 */
+  { 0x00000000,
+    0x79504f5f, 0x723077da, 0xf980c838, 0x810d35ea, 0x77ce364e, 0x802609c1, 0xb96b4e3d, 0x1bd1f83d,
+    0xed12602c, 0xd7c270d7, 0xb1c53d9b, 0x929a215c, 0x541e4977, 0x197c1ce9, 0x2d7aa809, 0xdacdea11,
+    0xec022b0f, 0xac137d17, 0x4cdbbfbc, 0x02fcc058, 0x59e82876, 0x613645eb, 0x9870b598, 0x77241b38,
+    0x6711b071, 0x172b6a5b, 0x07fafd1a, 0x9d7a523b, 0x7a6c2a52, 0x6d090866, 0xee720c7a, 0x771ac793,
+    0x64bc9e6a, 0x3c92f992, 0xff556925, 0xe6138143, 0xa6f3d40e, 0x92535bd3, 0x30d15c7e, 0x5477a2b2,
+    0x63199452, 0xdfe25fec, 0x7ef23546, 0x4fc1e19d, 0xa419df51, 0x3a5a90ed, 0x0504e68c, 0xe9ef7ad7,
+    0xf94dbd37, 0x1302e954, 0x9a3693ba, 0x0315b34b, 0x3221cde3, 0xb1327464, 0xfdbad1fb, 0xdd2c041f,
+    0xd7f50d91, 0x71195219, 0x65696fdf, 0xb57a854d, 0xba890f8d, 0xaf03a89f, 0xe94de07d, 0xf06f40e8,
+    0x5036874f, 0x15af205d, 0xae766f54, 0x8d528b27, 0x9ebeea1b, 0xaeed1015, 0x11e0ffa1, 0x268a48fe,
+    0x9e17fa31, 0x7b932328, 0x8187ab04, 0x03e5ef9e, 0x0b6525b5, 0x3d6782a1, 0x9b5c4110, 0x7dafbcd4,
+    0x84fd0b68, 0xbc69b19e, 0x8e21c5ab, 0x4389f42d, 0xe1d4a42d, 0xbd2390be, 0x3ce832ca, 0x413df954,
+    0x1a47a328, 0x2059d71e, 0xfb145d12, 0x74871c8f, 0x59f9fc4d, 0x004b185a, 0xd54d3a14, 0x8ba25021,
+    0x8b7be407, 0xeac1ac7a, 0x1e0111de, 0xdf2ff9af, 0x940270f0, 0xfe77c0d1, 0x29c9ddc5, 0x445acb3f,
+    0x768de7ab, 0xa727daf0, 0x11d1bc0a, 0xf3405572, 0x903e0bf9, 0x45166e85, 0x01072d23, 0x5a3da460,
+    0xc3efe74c, 0xbbb74a07, 0x7eecea78, 0xd8be1a9d, 0x5627308a, 0x07d1546f, 0xb40b860a, 0x5cfe319b,
+    0x6b2c40ca, 0x95e96c93, 0x938247b7, 0x3b2ecb0b, 0x0b876a72, 0x997b8f93, 0x6c926a78, 0x2df76734,
+    0x03ce849b, 0x987ef1eb, 0xd7205d70, 0x795353d9, 0x4611b379, 0x1bca28b4, 0xa79356e3, 0xb6c47e74,
+    0xed174d69, 0x3ed58af1, 0xc5696f3d, 0x3a6728e1, 0x33f12a57, 0x4e576861, 0xb4c811fa, 0xe101c3d6,
+    0x9cdef8cf, 0xbcd936b6, 0x72ba96ed, 0x7f147d3a, 0xcf13f0d2, 0xf211b497, 0xad8fc1b7, 0x1d428782,
+    0x58459aa9, 0x6b4b42ee, 0x2ee44308, 0xa248339a, 0xa0727639, 0x36186709, 0xf9e2771c, 0xf4feaa1f,
+    0x6f8f5974, 0xed9f3a96, 0xc938ba32, 0x27571657, 0x78a4c256, 0xb7e9cdf4, 0xa5b384d3, 0x2bb764af,
+    0xd49486ee, 0x1ca94f97, 0x404e0c20, 0x20fe2f31, 0xd8d4bb51, 0x1904d4a2, 0xea088885, 0xf1895794,
+    0x7975645b, 0x95e76047, 0x54852ee4, 0xcce3b241, 0xf3863342, 0x53d18564, 0x87463523, 0xa294c44d,
+    0x9c202666, 0xee06f2d1, 0x1f284b36, 0x0b453abc, 0x9b37d1a0, 0x5efa4d0f, 0x86c39c60, 0x63c0cb66,
+    0x88cef60c, 0x744bac66, 0x46b142cf, 0x815daa86, 0x6d2c0c76, 0x05c5ca34, 0x0ea664a4, 0xa85c4edf,
+    0xbf50e590, 0xb1802907, 0xb49e3fd6, 0x1b6b5d15, 0xf174dffa, 0x4cd121f7, 0xf27b82c3, 0x485f8c28,
+    0x5938e5bc, 0x7b079af7, 0xf3e794ef, 0x4d25987a, 0x1a8f5e63, 0x06071f6b, 0x63b7d5df, 0x53f40450,
+    0x3366166d, 0x54dada38, 0xd255157e, 0x8d8206d5, 0xd026823b, 0x650d896e, 0x6b4f11c3, 0x1d31e0ab,
+    0x83629f07, 0x04ca2e42, 0x694ff203, 0x032ac5e7, 0x01222e6e, 0x8fc2276d, 0x0c56c6b7, 0x4716ef3b,
+    0xe00945a9, 0x316930f4, 0xbc6e12ea, 0x95844ce1, 0x4232ce26, 0x410c156b, 0x5b4ec563, 0x5d793b9f,
+    0x26f02d9d, 0x0cd2ff02, 0xe603b491, 0xc4a8588d, 0xcf2c74eb, 0x0505e283, 0xa49d978c, 0xbe6acc86,
+    0x68e29618, 0x689aa634, 0x2fbf1bee, 0x017eb832, 0x03899137, 0x70daa8d3, 0xb3eccf6b, 0x4864ace5,
+    0x0e6204da, 0x7fd35ecf, 0x5d43125a, 0xee64eef6, 0xbece24e2, 0x2464da7f, 0x61d0a2dd, 0xe3c90d80,
+    0x29b5770e, 0x44f14718, 0xe2f89fd9, 0x9ceec6f6, 0x0670c1a9, 0x7cef944e, 0x7571fc52, 0x9138cf53,
+    0x472e7588, 0x8728b079, 0xbbe08831, 0xb8105395, 0xb3dd2ffa, 0xd66dd00e, 0xcf5630ca, 0xbfd01d5b,
+    0xba4f4680, 0x6aabd2e4, 0x49a2390e, 0xf74d59bd, 0xe57935dd, 0x8bb7139a, 0x2ed74937, 0x4e154cde,
+    0x11ee0a49, 0xf05c4a20, 0xd221a44a, 0x3ce658fb, 0xe4a4ced4, 0xb0f2153c, 0x00261aa1, 0x212ed2e0,
+    0x978991a8, 0x419c3b10, 0x5419ba38, 0x17b2eafb, 0x4421ddd3, 0xef692d89, 0x41d92027, 0x7c47bcfa,
+    0x30e8c970, 0x877e04c2, 0xe7a3459c, 0xd070f848, 0xde1523a3, 0x999c650b, 0xaf9f7123, 0xf04b2fd5,
+    0x7ccf8401, 0xa3a8ca5d, 0xd1e914fd, 0xe1f99313, 0xdde1eca0, 0x0a0a1d60, 0xa0c22b1c, 0x7493e402,
+    0xe5a96f5a, 0xd5561b05, 0xf1a8e8fb, 0x2798eb5e, 0xda4df75f, 0xbbfca2bc, 0xdfa39712, 0x149dc19b,
+    0x4f2204e9, 0x22ba1e86, 0xb487079a, 0x35e3648a, 0xcc151990, 0x4c939089, 0x3dfb150d, 0xd510c88e,
+    0x956a9133, 0x99e1a400, 0xe0431bd3, 0x387edc01, 0x141bf04f, 0x503251ec, 0x4bfdb91a, 0x76c6d305,
+    0x5aa824e3, 0xba34cf8d, 0x870813c8, 0x7d98e94d, 0xadcb315d, 0x7afa493f, 0x07b79dda, 0x13b1ee0d,
+    0xbdbe7a91, 0x5b2d97cb, 0x482d98c0, 0xbc9536bf, 0x9eb37314, 0x6a330274, 0x1b6491ba, 0xed855b9c,
+    0x2a7676b9, 0x8ec0bbb3, 0xbdce9dfd, 0x4e1acd55, 0xcc084292, 0x2c88b9c3, 0x6a68cf73, 0x30b6804e,
+    0x17b41064, 0x2688f94b, 0x69bca74f, 0x82f75e43, 0x6508eeff, 0xdad61738, 0x6621ae73, 0x2ec148f4,
+    0xc1d54958, 0x660fc5c8, 0x4c287f77, 0x8fb9df3c, 0xc1481b4c, 0xf5921db6, 0xdf991d3a, 0xe16499da,
+    0xbe965c33, 0x672fdc6d, 0x4b751618, 0x803131c2, 0x969494c4, 0x15b85e64, 0xfb20b233, 0xd84a87c4,
+    0x7628054d, 0x073221fa, 0x33584e21, 0x74c523a0, 0x277bc8d8, 0xa3e396cd, 0x68fb1d2d, 0xf120b260,
+    0xb8c7e0eb, 0x9a8aa2bc, 0xab2df797, 0x989d4c41, 0x324a90ae, 0xebf56f57, 0xf519b5bf, 0xb448912e,
+    0x2fb368ea, 0xec2bf96f, 0xed8d117f, 0xe14724b9, 0x52211dd5, 0x39c24337, 0xad3c41f1, 0xf4d0eee0,
+    0x99ed1dd9, 0xd8dd5902, 0x611831ce, 0xfb97c98d, 0x8873b75d, 0x3fc3c2b4, 0x05fe5dcd, 0x600fd151,
+    0xc9816c90, 0x4b330ff6, 0xfce63607, 0xed385241, 0xd3d6a7cd, 0xf88c4592, 0x4db2eb32, 0xcca944a5,
+    0x78160628, 0xd33a277a, 0xd8bfad8b, 0xedbdb4f3, 0x55b50900, 0xaed3281c, 0x6bdc8650, 0xdb465f4a,
+    0x5209c038, 0xa812d5a4, 0xa4ab19d0, 0x920e7ddd, 0x16ec498c, 0x71212307, 0x7550b832, 0x8b3d8d1b,
+    0x920ef0a6, 0x877cd002, 0x915085f5, 0x9bcee025, 0x25bdeb0b, 0x7e075452, 0x800a2aa6, 0xcde18dce,
+    0x07767f32, 0x2e43cfbd, 0x33630fc6, 0x286573ce, 0x298e8e11, 0x11c31e39, 0x1face64a, 0x93ca1ce5,
+    0xc4372142, 0x48157414, 0x0a36c54d, 0x5f1a712e, 0x80166e1b, 0xd1dfc5f2, 0xc98af735, 0xf7ff750a,
+    0x0c247b27, 0x6d31fdc6, 0xec764078, 0xfd6e60b4, 0xa2f95d0e, 0x32fd5eee, 0x57ee6a9b, 0x043b1a5c,
+    0xc1ebddb8, 0x35b892a2, 0x0a114c61, 0x93cb7158, 0x4b9c8b1b, 0xa599b58b, 0xffc7ee14, 0xc58bff82,
+    0x8d2473cb, 0x6080a316, 0x66024303, 0xcb4fa2e9, 0x8dbc033a, 0x2551db48, 0x79049f69, 0xd7850602,
+    0x200a8373, 0x6c48d08a, 0x82c4c336, 0x2dfc1ad5, 0x20a2ea71, 0xaabf1478, 0x66537301, 0x9f8bba44,
+    0x4db9e17e, 0xeacf7fb6, 0x143db763, 0x0978667f, 0xe3c6f951, 0x3bf1fadd, 0xaab4a9f2, 0x3002c67e,
+    0x78b5647a, 0xb188ec0a, 0x28deef20, 0x88dc2df7, 0xd0fa80c6, 0x2e660dfb, 0x5bb3335c, 0x01ddf713,
+    0x8362f8f3, 0xfbf51d2e, 0xb18cf787, 0xf78be239, 0x2262ca61, 0x8b14dfc8, 0xfc5b0938, 0x4b8fb372,
+    0xe8391a58, 0x8f2f3b25, 0x21e2ccd9, 0xd250c9dc, 0xbfcfd9f1, 0x34d8b52d, 0x4034b23b, 0xed6ff552,
+    0xdfed8c4a, 0xdfa5c696, 0x7e368533, 0x4d32be82, 0x83d5c75b, 0xa7fd12d3, 0xf294d816, 0x26e55c7a,
+    0x1d54887a, 0xc674f057, 0xeec2c51c, 0x5fb56792, 0x0c12ff74, 0xc7687bf5, 0x194a638d, 0xdb05a63b,
+    0xcbeef257, 0x320051a3, 0xa8643e5a, 0xf8995ba7, 0x17090543, 0x29638e29, 0x1a923178, 0x575cf5d8,
+    0xd5585858, 0x060f898a, 0xed7853be, 0xedd74d52, 0xaf43abce, 0xe6742e34, 0xd1a9fb87, 0x0e159c86,
+    0xbcc126fe, 0xf54deeb6, 0x4842e57c, 0x168e09e1, 0x3e9fd8f8, 0x067b5168, 0x7f96372e, 0x9af83338,
+    0xa40566cb, 0x7a2a8ee2, 0x0a70d1f8, 0x0e2c562a, 0x1d9021c6, 0x8a5f94f8, 0x26f670b1, 0xba317dbc,
+    0x8abdb911, 0x5b55bdc9, 0x4123019a, 0xf26b82bf, 0xf286ef66, 0x4ed535e0, 0xf553b6a3, 0xa3eb80f8,
+    0x51b9b640, 0xdc70dcb9, 0x76de6c99, 0x51e1b7be, 0xc9cfc737, 0x2a6345c4, 0x2e440f50, 0x2a4f03c5,
+    0xe36d3eb9, 0xe0f41861, 0x0f8d672a, 0x76b7d488, 0xa47013b0, 0x40800852, 0x5fb08bd6, 0x88365da0,
+    0x2e0cf57f, 0x7bc07993, 0x13180a8f, 0x8f372a2a, 0xeebd92e4, 0x18eafecc, 0x65c5c579, 0x9542f22e,
+    0xc91a989d, 0x395ece8d, 0x6cdb238a, 0x45d43231, 0xc4c239ef, 0x28d518be, 0xd1099e9c, 0x4eeccc03,
+    0x53a187ed, 0x97cef019, 0x7f5cebfc, 0x20d6254b, 0x8eddeb26, 0x98ab3c9b, 0xae1fceaa, 0xf2efc1b7,
+    0xfeca5afc, 0x6caa1f37, 0x96951cd5, 0x0e8f336b, 0x73a2d45d, 0x3b96b793, 0x0634f020, 0x6b7521c9,
+    0x47e827a8, 0x7ae266f5, 0x814e7aa3, 0x16781839, 0xc63cb7f9, 0xc629885e, 0xe0387c8b, 0x93d26247,
+    0xf3dfd70d, 0xa93b67db, 0xd8053408, 0x4bfcf929, 0xa46f76a7, 0x90ca4ede, 0x33334854, 0x961b1c38,
+    0x409b5967, 0x671934df, 0x805919db, 0x3241718c, 0xe65e7358, 0xd43a33c5, 0x92b0c023, 0xde090493,
+    0x83bb9fab, 0x939f8824, 0x12d01e75, 0xc3ad1c57, 0xc33a8dbc, 0x1bedf7e8, 0xd035ea46, 0x9417b109,
+    0xcd6fd334, 0x75544e58, 0x0e78615a, 0xc649c9a2, 0x0dc765c5, 0x14d7ea8e, 0x857d40b8, 0xc106047c,
+    0x4631735b, 0xddc08196, 0xe7c2ba5c, 0xbf5a6728, 0xd21bc506, 0xce5bc744, 0x64d28a2a, 0x0aa0fbe2,
+    0x83dba1ec, 0xfc54bdf5, 0x003ea512, 0x0d849276, 0x34777a1e, 0x39807fd0, 0xdf28aa63, 0x4ef56ed2,
+    0x48a8ea98, 0x3058a81c, 0xd9225242, 0xf9577c63, 0x65aca589, 0x72b81652, 0xeae77238, 0x1a7256c6,
+    0xbc4ff585, 0x3a774168, 0x6e40f1d9, 0xb1525dd2, 0x31b1c0fd, 0x3ef638a5, 0x3a53f1d1, 0xe17e85f5,
+    0xe2bea45c, 0x56149df3, 0x6232b4cd, 0xd329f197, 0xec23bfa3, 0xb4a7eeaa, 0x8274da3b, 0x44b1bb00,
+    0x45324326, 0x9e2e86ba, 0x9aa22835, 0x4ae765ca, 0x249495d2, 0xaf806170, 0xba225aaa, 0x3374bd4b,
+    0x4d436b69, 0x2927427e, 0xf7f657bc, 0x73c5559c, 0x9409d8c9, 0xca7743af, 0x211e08e5, 0x3a4c3967,
+    0xbd02cd6b, 0x6e34d9f0, 0x7443d66b, 0x58df2900, 0xa518a615, 0x29521b86, 0x46481bde, 0x10a53d43,
+    0xb21de1df, 0x7053f18a, 0x4e4e2468, 0xb99dbd3a, 0xce44eac6, 0xbbc8fc72, 0x41f6b33f, 0xb2bfaaa5,
+    0xf01471f0, 0x6ef19a66, 0xe390184c, 0x1a2f0684, 0x81ae2a43, 0x9e84becc, 0xec6ef2db, 0x1be57477,
+    0xff4593a2, 0x47c7e689, 0x5b881251, 0x0358a89c, 0x8983eacb, 0x4999bfa2, 0x8cb00e90, 0x7c21a436,
+    0x3becf41a, 0xe067e448, 0x4e6a00b2, 0x084d943e, 0x13a524d6, 0x53336c1c, 0xce24de5a, 0xd309e52d,
+    0xc6121080, 0x24c67e7d, 0xf3c30234, 0x1c079970, 0xbaefd61f, 0xbc0eb0d0, 0xc16cb573, 0x8ad920ad,
+    0x73672104, 0x587dbcf0, 0x1eca968e, 0x57e7140f, 0xc10065ca, 0x14b754fb, 0x13e79555, 0x8bcf1d07,
+    0x0ceeed89, 0xaeaa9fbe, 0x5ebebecf, 0x833a71a5, 0xb6a60f23, 0xb17aad2a, 0x9f7f591c, 0xaaf02559,
+    0x4a421d9d, 0xc879e652, 0x9726f7b5, 0xde21f0f9, 0x6ecb67c6, 0x929c9dd3, 0x2601e00a, 0x2e0f5a0d,
+    0x553baa0b, 0x0a7df4ff, 0xb32cc3c2, 0x42cd26d0, 0xca12f54d, 0x6865397a, 0xe841aef7, 0x3cc1aa4c,
+    0xbe4edc59, 0x012e5e90, 0x1134aeb2, 0xa234c6fb, 0x7637305c, 0xe88bc3ae, 0x5f52d66d, 0x2ebe8d01,
+    0xa7e8aaf0, 0xa86add84, 0x203f8b88, 0xa8be3502, 0xf90804fe, 0x150ed352, 0x6a6420d0, 0xb62292ec,
+    0x384a42ee, 0x6d623c97, 0x7ea31808, 0xc705649b, 0xded41e08, 0xcb9cc95c, 0xad3ed8f6, 0x9340a4b2,
+    0xb47485d2, 0x5ad7678d, 0xaeec9db9, 0x71d00e76, 0x3484b72f, 0x49f82560, 0xd3d81e15, 0x633a8b52,
+    0xf9bc888f, 0xc9f5fe18, 0xce40439f, 0x77da1aa6, 0xa6c86366, 0x0274e270, 0x08da856f, 0x8c5120b4,
+    0xb5619db8, 0xb2d9e3db, 0x4cd0fa64, 0xa29bc517, 0x6734de72, 0x51601349, 0x93054181, 0xd2aa4461,
+    0x738e0e04, 0x74708737, 0xbd9da2e7, 0xc14f651a, 0x6a5e8df8, 0x0cc7b98c, 0x3cb02285, 0xb6be4d15,
+    0x429e0ed7, 0xae406dc5, 0xbe8aa7e9, 0x4d021145, 0x811e514b, 0x8d98dc37, 0xe7c975be, 0xeff90090,
+    0x8c21f7ab, 0x9e9c4b82, 0x4965a2a3, 0x059fa1d9, 0xdc50fff6, 0x3ef9ba58, 0x9a7f58f4, 0x796930d0,
+    0xc3a70c54, 0x4c817b8c, 0x483a0143, 0xe7e36e4e, 0xe8017794, 0x6594f52c, 0x7e6c19dc, 0x0fb7d58e,
+    0x8b6e780f, 0xf517ae45, 0xdb0fbdfc, 0x9a855abd, 0xe2d38f39, 0x0bc10446, 0x815dcade, 0x6c699755,
+    0x07ced311, 0x36040656, 0x9c597692, 0xdcfba554, 0x684d3125, 0x87e99c6d, 0x0a015072, 0xe8f744f1,
+    0x2806d6a0, 0xcbc46db4, 0xe3e81cab, 0xc9dd12a4, 0x4f9720e4, 0x0e0304c8, 0x9ee46d66, 0x2ac83935,
+    0x59e13709, 0xe1fcb390, 0x06510f8b, 0x659d4219, 0x1bab7fff, 0x1df87187, 0x5955c093, 0x5a3b6873,
+    0xf478f0ec, 0xdc035b20, 0x714ebd8a, 0xee5bfb09, 0x0fc9943b, 0x1c7f3ebc, 0xcb936c08, 0xcf921ea9,
+    0x4815adf5, 0xe534dc8a, 0xa88bf99a, 0x4034dd38, 0x5cba756e, 0x4198e134, 0x79289bac, 0xe6e78248,
+    0x892f51a8, 0xd5d1bb93, 0xb4839308, 0x03070fcd, 0xbf3c697f, 0x328e8b32, 0x6c72b449, 0xdbedec02,
+    0x7526ce4a, 0x435cf4e0, 0x5642c59a, 0x91658940, 0x55a43f55, 0x67a84de8, 0x05c4bba9, 0xb2765890,
+    0x090b006d, 0x84ba64cd, 0xe56c8fc2, 0x53694481, 0xbf298640, 0x5b46a446, 0x303cd8ad, 0x3f02bd6a,
+    0x21dc8b32, 0x92cef803, 0x31ddcf4b, 0x2c0bfed1, 0x02d81d7a, 0x8c2476ea, 0x30cf2550, 0xa6f20b9a,
+    0x2cd91bad, 0x6fb754f4, 0xf8fe64c2, 0x4f6e6cd5, 0xf2a0d6b7, 0x29914316, 0xca5a97ae, 0x5d6a4111,
+    0x1812de62, 0xef235ac9, 0x39e757f6, 0xfd9fa3fe, 0x6c83832f, 0x06f0a347, 0x26bf8524, 0xd82b0782,
+    0x43de1e18, 0x2178b997, 0x8c6d7ed6, 0x7ad3ab7c, 0xfdca537f, 0xb87e2e73, 0x5c501d3d, 0x2aae5343,
+    0x48f20c56, 0xd275a47d, 0xcac88423, 0xdf51d839, 0xa801cff5, 0xabc650ca, 0x96ba89bb, 0xa05fc756,
+    0x00000000,
+    0x794236fe, 0x8a5e853d, 0x3b682a93, 0x455c18b8, 0x335e042c, 0xa30f4c5f, 0xc92a6fef, 0x098a562d,
+    0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000013538426240824291306535225508511150895685727907108\
+                          47937094960732721983060451965636249987502980536903367866802227247837807116288 */
+  { 0x00000000,
+    0xdf4f5539, 0xabe704bd, 0x0359e9b6, 0x7385a118, 0xa95a0bd4, 0x1c172a04, 0x321414b9, 0x446534f1,
+    0x5ada2b10, 0x07201545, 0xd9ceae78, 0xc3ef018b, 0x4e2ca770, 0xe8758e1e, 0x0efe19ee, 0x5eca6355,
+    0x71a3c25e, 0x9d6340f9, 0x9cacc819, 0x22bf6578, 0xb8ce4b8d, 0x5b829c21, 0xa68bfbf4, 0xd09e288a,
+    0x53fdb62b, 0xa69ab036, 0x73002be3, 0xe6a9221e, 0xb56cd8e4, 0x8ad65c14, 0x78053721, 0xa3c40d72,
+    0x24070739, 0x13306e4e, 0xf26a007b, 0xc7aa8409, 0x9edec096, 0x0fc352a3, 0x8752c0ba, 0x95385b04,
+    0xdd457c3b, 0xcc891e43, 0xa639ecd5, 0x1b820ebe, 0xf9b322cc, 0x4dfc82c0, 0xb3795760, 0x2832bdbb,
+    0x72907581, 0xd288aeb0, 0x14a67c34, 0x82da9c0c, 0xaee02e7a, 0xb7ea4452, 0xa131d2d3, 0x2a5fbb39,
+    0x16bd0d85, 0xffd8a975, 0x4761c43d, 0xe33771a3, 0xe653bb7d, 0xf8b93ac2, 0x1531f8b9, 0x2c4b4299,
+    0x38c674c9, 0x1157724a, 0x97ce593a, 0x8eaaa84d, 0xecb6a4b5, 0xce268ae9, 0x9a52391e, 0x820002eb,
+    0x84209ea1, 0x68e5d03e, 0xc60e6c8d, 0xf028101a, 0xffd3b735, 0xd4f35e74, 0x1ac916d2, 0x76928592,
+    0x60e2fd0e, 0x125b5f3f, 0xec848665, 0xfed88eac, 0x65305b6a, 0xffdd0836, 0x74e26c1d, 0x726dfb4a,
+    0x67ef6b61, 0xbdbae01c, 0x17bca625, 0x91214542, 0x676f78f5, 0xa05b385a, 0x730e454d, 0x26fe205e,
+    0xa3231f5e, 0x27b68804, 0x74b1be2a, 0x0840f386, 0xcdb95e5a, 0x4a701a1b, 0x18f7ff6b, 0x434915f1,
+    0x40f3900c, 0xde27d6d9, 0x2d63cbf3, 0x0a63d2b6, 0x33495919, 0x66acb52c, 0xc121f165, 0x91347e53,
+    0x16446583, 0xea8cf644, 0x3c3168fa, 0x244c0161, 0x9815a454, 0x4272e388, 0x6602f0db, 0x7a798f55,
+    0x6c843ba4, 0x70100497, 0x67383d83, 0x25986a32, 0x06845a3a, 0x78c6c196, 0x8f9db281, 0x4f677fd1,
+    0xe9b3dd56, 0xe5c81968, 0xd7dfc32e, 0x56b486c9, 0xa3650895, 0xfba09444, 0xb7023577, 0x7dce1cc6,
+    0xae38d94c, 0xf3a99175, 0xa9910d2e, 0x8e1a5b57, 0x2dacd77c, 0x94165f44, 0x165da2e3, 0xfdd20f00,
+    0x64714f52, 0x408b7d7d, 0x92cd113e, 0x62c493c6, 0x27a55aa6, 0x716e406c, 0x15f6daeb, 0xa57d2a3c,
+    0xd6082ba5, 0x4a7b20bd, 0x5dc8aff6, 0xae16533f, 0x1483fec1, 0xfc773ee1, 0x3c3861a6, 0x21910c2b,
+    0x3c24a8b0, 0xe6542dd5, 0x31828a5d, 0xd858c2e7, 0x5f3b824a, 0x8a99996d, 0xce84e17d, 0x3d4b86b0,
+    0x2b0247e6, 0xbbde8ad7, 0xa1f12079, 0x972bc7ae, 0x491d8262, 0x4a2b2564, 0x77f8a794, 0x4bcaa90a,
+    0x8914180c, 0x1f1aaf80, 0xda0c9035, 0x2b148916, 0x88b68cba, 0xe8f1cf5d, 0x052aab0e, 0xf8f152fb,
+    0x62c6c742, 0x6b0dd68e, 0xb864479c, 0x87ea8aa6, 0xd7042b85, 0x01fe2bf7, 0xabefd956, 0x98834d3c,
+    0xa066e2b5, 0x520cf0d7, 0x9c4b9802, 0xd0907186, 0x8e290fce, 0x4ee34475, 0x084aeab8, 0xbf798b4f,
+    0xe0c6e8d9, 0x2842ac1b, 0x71d03c17, 0x0fea1728, 0x1e4acbe6, 0x04c7453b, 0xb61178c1, 0xb2e99909,
+    0xc5220b5c, 0xc34d9e87, 0xdc094cc6, 0xaa2a547f, 0xcb9b7e1b, 0x7e4f6f85, 0x5548967b, 0xbf825572,
+    0xd1f4cc6c, 0x40247828, 0xccd7b85e, 0x64a5c5f2, 0x42574044, 0x5205d40a, 0x81318299, 0xcbd21ff6,
+    0x977a64fa, 0xbe07f427, 0x77747241, 0x2a59acb6, 0xcc5dd020, 0xe36485be, 0xb093391e, 0x38b8316f,
+    0x2391708a, 0x0480163c, 0x90f5580f, 0x9a349a62, 0x4f0cfbae, 0x90a3940f, 0x3f695f1e, 0x3816cd01,
+    0x4bb783dd, 0x1b960b16, 0xb8d3bdf8, 0x8511c44d, 0xa44b43a7, 0x4dfa494a, 0xabeb8ac6, 0x7cf47eef,
+    0xdc0b46ec, 0x4a0636b5, 0xc99dc8fe, 0x6b49a452, 0x90d0abcf, 0xabb8f854, 0xadd01006, 0xecf1710d,
+    0xceee2745, 0x6e588964, 0x6d4cdd7f, 0xe79b453b, 0x6746335e, 0x27c46601, 0x5e5ba124, 0x430ca38b,
+    0x3663aae6, 0x549c3ad4, 0x9a8c2075, 0x8bd8eb4e, 0x17ae416e, 0x90d641aa, 0x73335332, 0x346ef24e,
+    0xd3c03238, 0xf75c9370, 0xf61878fb, 0x9a2907ff, 0xabd95b0e, 0x4b155e55, 0x2406fe8e, 0xcc94a693,
+    0x5ae53b91, 0x76c95e51, 0xbeafee4a, 0x458c7afb, 0xa893142a, 0x570be6c0, 0x125fa556, 0x3ef79405,
+    0xbceb30e8, 0xcf30a670, 0xf19f3ec5, 0x73bb226c, 0x00374e87, 0x697507b3, 0xd58cbe3a, 0x47fc2d1c,
+    0x4902db91, 0xaefd0d2e, 0xced7cdbd, 0x57289106, 0x7b1d336d, 0x154027c7, 0x79c97fb8, 0xd0ee5635,
+    0x66a3ca6f, 0xe63cfecc, 0x60d5bafe, 0x5e0c4f97, 0xe2393c92, 0x53df11b7, 0x877e2247, 0xd95c925f,
+    0xc49d04e0, 0x22a9e712, 0xfac617d1, 0x549624b8, 0x1030ec9d, 0x001df48a, 0x2f5ab6b7, 0x74b2f640,
+    0xb83095ed, 0x8d7a7091, 0x40c22996, 0xfa2829f5, 0x5a2e8c77, 0xb571a260, 0xabc4c179, 0x266db1e8,
+    0x8f89020d, 0x3bdc8708, 0xbceae0d1, 0xfeabd85c, 0x8ac3aab6, 0x9b4a59ea, 0xca001439, 0x3fa54662,
+    0xde7cf64b, 0xff6d94fe, 0x3c200acd, 0x754362a6, 0xe24ce6a4, 0x5bb3d41e, 0x1b34a861, 0x834dd7e3,
+    0x7817dc1f, 0xb297da1d, 0x9a3d842d, 0x253d8a02, 0x9d9707ac, 0xda158482, 0x8f2d10fd, 0xd4e9476a,
+    0xf101f792, 0x88247ff2, 0xea4da0b9, 0xe9886bd0, 0x1b8647ea, 0x6d612634, 0x6ac75952, 0x74c08fb0,
+    0xa13fd1da, 0x8d379abb, 0x9ed03f83, 0x33cff72f, 0xac2ac7fd, 0x37b94ec3, 0xf77ff3be, 0xeae37e61,
+    0xf04ac917, 0xad3e55ab, 0x3a28df67, 0xcb3b8e97, 0x3b1e9b0b, 0x56f1e6d3, 0x5274d468, 0x6eb0c537,
+    0x5554242d, 0x37d8d3ad, 0x6e907987, 0xbd5c6743, 0x970ee887, 0xbc1584c6, 0xb27812ba, 0xd13d622c,
+    0x2f175fe1, 0x1d445e71, 0xfa2ee610, 0xa576d5b8, 0x426fbf9c, 0xa44760d2, 0x8990bef3, 0x0d95512a,
+    0x99cf88ed, 0x01472004, 0x0746cf36, 0xa0468c8d, 0x378b8ea7, 0x186f8cab, 0x1341f5f8, 0x867a2e6b,
+    0xcc604380, 0x3eba6b0b, 0xb5a1a77c, 0xfad4459e, 0xf252dcb2, 0x00917685, 0x6133cb6e, 0xa6d324c9,
+    0x42715811, 0x7c028323, 0x8a89a430, 0xb9256f6f, 0x0e77dfa9, 0x1e764ad0, 0xa50093ff, 0x6e036b19,
+    0x9eb43134, 0x57872ca4, 0x6fd46806, 0x7a980c44, 0x18306bd4, 0x3ed8e541, 0x849323f0, 0x74a846dc,
+    0x922f2416, 0x1ecb9d83, 0x32895953, 0x932b307d, 0xa7346d10, 0x5681a62a, 0xf80acb6b, 0x0416243a,
+    0xfdead744, 0x8b1e0b03, 0xdb9dade6, 0x47eec2e3, 0x7263f7ef, 0x5bf45886, 0xe2a2723f, 0x78268479,
+    0x9efdfd6a, 0xc928f35a, 0xfa5fb5c4, 0x81b929fd, 0x91860726, 0x6d14bbe1, 0xbb882b56, 0x90007ee4,
+    0xab5a86e7, 0x571ef47b, 0xf48892ad, 0xc8a6df34, 0xef7d463b, 0x8468dd27, 0x57c18b8f, 0x52a11fd6,
+    0xb3e31770, 0x596fa38f, 0x210ea073, 0xbc1b4bec, 0x763ae845, 0xe9932ffb, 0x9200de16, 0xd713ca75,
+    0x7d8ddb02, 0xd4cecbbc, 0xbfd8a2f1, 0x0d831b83, 0x99dd2d32, 0xd75c6d5f, 0x6e4adebd, 0xc880d840,
+    0x0f0cedfd, 0x03600f6e, 0xffa254e2, 0x5c5a2c6a, 0x5394765b, 0x9cb82f24, 0x96cd3508, 0x85ab1b43,
+    0x502ecf54, 0x9258d5e1, 0x380ca13f, 0x70b19d3e, 0xa34f6ad3, 0xff4cdaf8, 0x95ffb17a, 0x971014c1,
+    0x3cb6acc0, 0x76918459, 0xc25682e8, 0x4ee346bf, 0x2434a28f, 0xcdd5acf9, 0x5435b3e3, 0x4a996f4f,
+    0x31bdfb53, 0xcc3ea321, 0xcbaf01f4, 0x8a3ab380, 0x9af364d4, 0x9415912a, 0xeec538d7, 0xd9adfc23,
+    0x8b230c5a, 0x3f49c58c, 0x44502390, 0xa7b51e77, 0xdc17d14f, 0xfbfb6c64, 0xb23880b8, 0x3fce2c42,
+    0x07835a23, 0x94c75e77, 0xa6f4019c, 0xa8f0ff92, 0xd2cd8cc1, 0x1d7f12e3, 0x8b8abc99, 0x5089bc49,
+    0xc7044e24, 0x835882f0, 0x54cfa4b8, 0xbe3a3383, 0xa1fab6c5, 0x10e86b01, 0xdbe49b0c, 0x9da6011d,
+    0x580d1fcc, 0xabfbe129, 0x94c941df, 0x86d3df89, 0xfbd2c558, 0x2e385191, 0x9bc09ebf, 0x2ec37ffe,
+    0xd8f0db21, 0x85e58126, 0x74e1c24f, 0x3eab1ac0, 0xee154df0, 0xeec494a6, 0x8e4b8f0d, 0x7f081a8a,
+    0x8b0e84a0, 0x498baab4, 0x824b28db, 0x2cfe0e4b, 0x7c124463, 0x7d673668, 0x2b6a6539, 0x8a4ac02f,
+    0xf95b91d4, 0xc90a7f72, 0x6531fedb, 0xfaf5aa9d, 0x72ab6204, 0xda7d5295, 0x93113241, 0x81722731,
+    0x4972b74b, 0xcd80ef7f, 0xcd540326, 0x48c80271, 0x6449aa75, 0xcdc3d3bd, 0x69023419, 0xf29a4057,
+    0x70892ce5, 0x1edbd056, 0xebb6fdb9, 0x994e07c1, 0x79f620ea, 0x0d573b8c, 0x0df8164a, 0x2c4b1286,
+    0x195f6815, 0xd2745f5e, 0x8a0f5a74, 0x9eb39554, 0xa2345623, 0xee0f43e1, 0x26402cb9, 0x83ebe279,
+    0x8872ed99, 0xc60ccd6d, 0x440be214, 0x2f3b30bd, 0xb8f3018a, 0x6beda9d7, 0x3f0daf32, 0x0874928c,
+    0xacb2071f, 0xeafaae84, 0x87797722, 0x4b75dda2, 0xfb1fa5ce, 0x09a3e70e, 0x2a0c837c, 0x8a638d90,
+    0xbee2c442, 0x519cbcfd, 0xf0167f82, 0x95b9bb66, 0xdffeda80, 0x8f2d863d, 0xcfb72fd6, 0x413fa8e5,
+    0x11f487da, 0xcfbd0c60, 0x8b97ff61, 0xc2262cc5, 0xf3d8b27a, 0x98a23168, 0xf6ec4a95, 0x1b39554e,
+    0xaf19e636, 0x1d9209e5, 0x88d714ea, 0x7ca4cb38, 0x0aaab0f0, 0x0addf74e, 0x375827d1, 0x5e41cc62,
+    0xf1c93e1e, 0xd58e23fd, 0xb7750439, 0xf9909383, 0x916f02ed, 0xa06516fe, 0x5065c6bb, 0x8c30530e,
+    0xfc9c71b4, 0x0d67ee08, 0x57015c34, 0x23a26c9f, 0x2c62c6dd, 0xd36acd5f, 0xf7a3a78e, 0x24a8f473,
+    0x2f4488d3, 0xdc20dee7, 0x43c0502e, 0x3a7fee6e, 0x5d7d4120, 0x65bc2a90, 0xf20add47, 0xc3a27355,
+    0xcc0d79aa, 0x69ded8e4, 0x27aade73, 0xe02cd19d, 0xb51e20ab, 0xb278f966, 0x516dfaf0, 0xd211c1a7,
+    0xbd42efa3, 0xc7613104, 0xdfc6de58, 0xc46feddd, 0x73dbe92a, 0x1df3a621, 0x6ce3c06d, 0xf3a892f0,
+    0xab917474, 0x2c3496a7, 0x2e3d6c9a, 0x12d607d3, 0x68d6d789, 0xd35a8617, 0x78ad709c, 0x12c35fba,
+    0x788a1a9e, 0x77ca6179, 0xa37ea3e3, 0x4c6113c6, 0x42400979, 0x01996ebc, 0xe9400e8b, 0x8352e442,
+    0x23c4318e, 0xe13badc0, 0xd570c310, 0x63ca8e53, 0x62db86a5, 0x62616eda, 0xfc2ecd75, 0x7c5ff729,
+    0xc7853cb5, 0x865a7a18, 0xada2f28d, 0xb85ca86f, 0xed43ee62, 0x1769dc4d, 0xa94802d4, 0x4730c234,
+    0xae6181c3, 0x55e7f610, 0x44d61c8d, 0x02206c06, 0xa14e4f04, 0x7242647b, 0x421d9bbc, 0x8b320a93,
+    0x1c5a05a5, 0xf4b64ee7, 0xa28bb214, 0xe9bcfe9f, 0x8890f1dd, 0xd1cf2758, 0x54560b73, 0xf607af1a,
+    0x4b2597ad, 0xb5d7ba75, 0xa171d7f3, 0x7c494445, 0x75dc1d5c, 0x315e0ebd, 0x4201159e, 0x2b55c3e4,
+    0x02e5ec24, 0x5656058e, 0x3ee0fefc, 0xdfd4c881, 0x538e4a5e, 0x39eef8e0, 0x73fc8709, 0x347175ab,
+    0x25635fa0, 0xd951f56a, 0x83ce5c1d, 0x0cee19a8, 0xe4ec1a9b, 0x0007684f, 0xe318b586, 0x29de866d,
+    0xabd2374c, 0xd6d0cf2e, 0xed615928, 0xa6d6e4ec, 0xe6abd581, 0x2ea0e67a, 0x378cdb9b, 0xf09bf7d5,
+    0x41c71b99, 0x13239ecd, 0xf4fdae28, 0xfb9eef4c, 0xdf89b6a9, 0xfd9aa376, 0x414033b0, 0x2f57fb0e,
+    0xbaa62eb2, 0xabbe07c0, 0x34d6931c, 0xf2985af1, 0x279b1a65, 0x185a7a79, 0xefc15724, 0x2cd9b0d0,
+    0xae042f13, 0xb9e5ab36, 0x01a4dcb6, 0xca678c0e, 0x6600c891, 0x76b6480d, 0x00c5539a, 0x7c32a48b,
+    0x9dcc403e, 0xee5b8bc7, 0xd1cb8bba, 0x52fa488c, 0x9b6930e2, 0xc0371dee, 0xfb914a38, 0x240159d6,
+    0xa0a148f0, 0x8780a4dc, 0x268e4969, 0xf339b85f, 0x64e83e88, 0x957d5be2, 0xdfb2071a, 0x1dd96090,
+    0xd19b16a0, 0x8362f65f, 0x29bfc509, 0x85bfb5f1, 0xdebc1907, 0xdaa5101f, 0x91e8d798, 0x8f156bc2,
+    0x6027c7c8, 0x538d9cb9, 0x5652f57b, 0x32f111af, 0xd387dc72, 0x4d3cc2f8, 0x9e599b1b, 0xec7130c2,
+    0x526f507f, 0xb3ba041f, 0x6b9c4e5a, 0xf0b13a63, 0xe17aae92, 0x72374795, 0x0e89b072, 0xb30dab46,
+    0xd7234383, 0xcd6aca86, 0x0cb4948d, 0x5cb98b9a, 0xf8310a4d, 0x816ebbbb, 0xb93f8f4b, 0xae108e90,
+    0xbb019423, 0x4cbd264b, 0x9768c0cc, 0x052adddd, 0x90076e05, 0xd0a7bfdb, 0x886ee362, 0xfd7bc182,
+    0x900950cb, 0xb02cd843, 0x5bf8d595, 0xb2387335, 0x13795c15, 0x94d6566f, 0x198d49e4, 0x5e8676ec,
+    0xcb7a60f8, 0x6e5ac5fe, 0x311b54bd, 0x1ec8a96c, 0x897a6b16, 0x4d24d1b0, 0xad4b995e, 0xc2b417a5,
+    0x5151430d, 0x47d17fa4, 0xcec67368, 0x098f75f3, 0xe2713398, 0x2ed8f412, 0x1632584a, 0xa13fc409,
+    0x23ccc83f, 0x0f7a32c4, 0x2308ee97, 0x3b836af0, 0x041ae0db, 0xb5a0757d, 0x3bdd34e6, 0xc30402d4,
+    0xb2898030, 0x293479fb, 0x5be90570, 0x6d74d1ae, 0x88fb1218, 0x6623dc23, 0x9d49ac35, 0x6f7eba44,
+    0x6f8c90e1, 0x6d62c48e, 0x17a7db9f, 0xf246d467, 0x4c2aed6e, 0x4665a435, 0x2c625f04, 0x12308c95,
+    0xd3cdbb78, 0x702c44fb, 0xe1c0bbfd, 0xad716d33, 0x95ee1a35, 0xf1165a6c, 0x4a2407b1, 0x9f2e8140,
+    0x4b7341f7, 0x77edb93a, 0x6b02ae60, 0x968ef44d, 0xf6d080b3, 0x2dd35f22, 0x5235a90a, 0xb965cbdd,
+    0xfc8b4ba7, 0x5339533f, 0x7cfb74fd, 0x249e90e5, 0xc2831925, 0x203db4ac, 0x743a269e, 0xfc158eb4,
+    0x7dd83142, 0x89c4ad9b, 0x103e2f2b, 0x6c23051c, 0xaae5f625, 0x04eb6620, 0xb3b30159, 0x25b13258,
+    0xf16cb0ba, 0xa5374dd7, 0x611e42f6, 0x02a54e40, 0x84dc8000, 0x93d1ef19, 0xf65a3c8c, 0xc0523271,
+    0xcdbffa5c, 0xd9c6d88a, 0x0a4002e6, 0x31eb46f2, 0x0cf030fb, 0x87e57c12, 0xd93b7b34, 0xf1b4642d,
+    0xb1c28ba6, 0x9e5dbb8b, 0xf161772e, 0x72bc0e43, 0x73919d48, 0x2a1e5de9, 0x82552274, 0x341db51a,
+    0x693ac087, 0x175bbfb2, 0xe9776465, 0xfbaab6f0, 0x86225c24, 0xc055e11f, 0x98579700, 0xd3796789,
+    0x3aeb0372, 0x462891fa, 0x68701853, 0xf7387c7a, 0xa948f078, 0xb689ade7, 0xfc2908d0, 0x24fdc132,
+    0x2360f0b9, 0x914568ce, 0x3434676a, 0x2ad5a534, 0xe7e565f6, 0x89503fdb, 0x00dd55bb, 0x656b693d,
+    0x2a835add, 0x160db256, 0xf0abcfda, 0x1395b07a, 0x2d60e1b2, 0x8b40d668, 0xe704400f, 0x08b17358,
+    0x1cba0dea, 0xcb95457a, 0x9c715e34, 0xac7e22ff, 0x54b8cfd5, 0x60d0709f, 0xdf890ff1, 0x8dc00a78,
+    0x93d183de, 0xeba5889e, 0x40b2f8f5, 0xa7eacbba, 0xf2bf59a3, 0x07309ae9, 0x27b8cfb1, 0xd0adce06,
+    0x9dbfc17c, 0x3f7aa672, 0xa2729baf, 0x0d240376, 0xd1c8dabe, 0x5b33b942, 0x91c7b5c7, 0x27c32df6,
+    0xb9dfb3d5, 0xab4f8354, 0xe439d024, 0x49910feb, 0x6a87e277, 0xf09c1e3c, 0xddee230a, 0x398946a2,
+    0x782e2b3d, 0x8e466ace, 0x40736056, 0xd14b98bb, 0x25611538, 0xf2178527, 0x10a4818b, 0x387db73f,
+    0xa5a71ced, 0x98a024f1, 0xf660f831, 0x7b2f5177, 0x5ccb35a7, 0xbc4842d4, 0xe95c7db8, 0xca9f4c2c,
+    0x00000000,
+    0xbca11b7e, 0xc52f429e, 0x1db41549, 0x22ae0c5c, 0x99af0216, 0xd187a62f, 0xe49537f7, 0x84c52b16,
+    0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000006769213120412145653267612754255575447842863953554\
+                          23968547480366360991530225982818124993751490268451683933401113623918903558144 */
+  { 0x00000000,
+    0x615f70d9, 0xeab85e4b, 0xe61d400b, 0x0c581647, 0xd174e640, 0x40d7f260, 0x844dd5cf, 0x79c9e9f3,
+    0x5b948f90, 0xfa089c46, 0xe06290b9, 0x92202727, 0xd1ed06ac, 0xdfb6f688, 0x082a33b2, 0x46d99e18,
+    0x321b241a, 0xcdf695e3, 0x8a20fd89, 0xf75ba29d, 0x1f00df7e, 0x3a2b4d64, 0xbf729433, 0xf634f2af,
+    0x67b1dc7e, 0x23d7c337, 0x09002710, 0xcf9f5acd, 0x264e48bd, 0x9915f568, 0xeebaaad3, 0x29280919,
+    0xa064ebf5, 0x68bce1a5, 0xac21f3dd, 0xf3d3b00f, 0x33198b66, 0xa7e71b51, 0xea56b378, 0xd26b8c35,
+    0xdc75c0c7, 0x6995a3ee, 0x0f3e40a2, 0xe68be58e, 0x0b2ba883, 0xeeffb4f6, 0x4aca9a27, 0xca85161c,
+    0xafd64c77, 0xb3faa46a, 0xc1b8cb6c, 0xb4e9d2ed, 0x3f457261, 0xfc42cf1f, 0x0318afa7, 0x1343a7cb,
+    0x8b7903c0, 0xb69caf5d, 0xc4754fb3, 0x5e61bc0b, 0x9f03adb3, 0x22dd0e07, 0x5b2f65f4, 0xd217c8b2,
+    0xf495b2f7, 0xbdd126ac, 0xbb86d109, 0x0099dd7e, 0x38920089, 0xb8bfb301, 0x8408c8d3, 0xac870844,
+    0x9836f1ac, 0xfd659148, 0x18e76cf5, 0x864e7407, 0xce724543, 0xaa82aaba, 0x483a6c8f, 0x585c6676,
+    0x04bb4b9c, 0x08bc40c6, 0xf72caa1a, 0xe72e6c19, 0x2b36b79f, 0x65b3893c, 0x887ba068, 0x43698818,
+    0x7d6ea3bd, 0x86d50f4f, 0x48cef822, 0x4fd91779, 0x562e1a2c, 0xc637d0c9, 0x8735039d, 0x7eb02875,
+    0x22512970, 0x2966c68c, 0x6976c4bc, 0x317ae184, 0x6aea42bb, 0x972f78af, 0x5c7034e5, 0x786e62f5,
+    0xf118eea2, 0x847fdb91, 0x349ed8fa, 0xf7923ed5, 0xbdb26f59, 0xda4b386c, 0xfbec3d36, 0xc01358d5,
+    0x4852a2de, 0x2369456f, 0x1c657cc9, 0x09e050ba, 0xf8d7a0ab, 0xb5f1e125, 0x59552eef, 0x878eaf31,
+    0x07c1daba, 0x85eed642, 0x4e521c5b, 0xe7c274bb, 0x0920300a, 0x5e6f314c, 0x2579ca2d, 0x2fe9df0c,
+    0xe68c7807, 0x3dc411f3, 0x94799aec, 0x2cb11211, 0x266b38a8, 0x2da6c2dd, 0xd3bd25c3, 0x4f7f03fe,
+    0x039f57ed, 0x1855f106, 0x975098e7, 0xdf238450, 0xb0a3252c, 0xf4c668f1, 0xb469c951, 0x37e7d9db,
+    0xd0f4c992, 0xf5c0fc53, 0x95279609, 0xfaf58c71, 0xb2828eb3, 0xae6437e5, 0x84414ced, 0x7e1f70c2,
+    0xb5e0042a, 0x176e732b, 0x62187cc7, 0x5b8fe754, 0x7fb177e2, 0xd0e71c96, 0xa0b5796d, 0x011b5c07,
+    0x7ba08266, 0x339a373e, 0xf1be886b, 0x31d4f93b, 0xa6505154, 0x827288c9, 0x231866d9, 0x35603f1c,
+    0x16220c38, 0x538624fb, 0x96b63f1f, 0x1d3efa65, 0x6f2717a1, 0xde3e7fac, 0xa72839b1, 0xaf7c77bb,
+    0x4658c5b3, 0x9f818187, 0xd181c039, 0xfb625b04, 0x8d57ca0a, 0x68448e89, 0xe3b3c8bf, 0x1d6cc000,
+    0xc28b7996, 0x142a52a0, 0x4918d198, 0xd94b227e, 0x6c794c5c, 0x30ce7b93, 0x09e3c18d, 0x849d7a94,
+    0xc4e5f126, 0x12035a37, 0x0fc569e1, 0x43738bb5, 0x3a1573ca, 0x5fe28afd, 0xb699314c, 0x1cd68787,
+    0x6eb05e93, 0x3d795a3f, 0x2a8eb326, 0xfa3391bc, 0x6a7fabb7, 0xd2b4714d, 0xf904b3a2, 0x4e6a05cc,
+    0x6c71523c, 0xac7d49dd, 0x36e28834, 0x1bf06641, 0x2e6592b5, 0x6a531d95, 0xe68846d1, 0x84e3ba8c,
+    0x9dcfdd38, 0xff90f3f2, 0xe93bf64c, 0x9bf66416, 0xe602f965, 0x4a62aaec, 0x186892be, 0x049c368d,
+    0x516b627f, 0xb0ff6071, 0x63164980, 0x17fcf9da, 0xd3b3defa, 0x469bde73, 0x5de9d829, 0x69135a96,
+    0xebbb0a79, 0xc75c2ff1, 0x848ca405, 0x09475e98, 0x3635f33a, 0x141ec6fe, 0xae02ede5, 0xb86a8f10,
+    0x656f2611, 0x04d8def6, 0xdd050218, 0xfc3511a9, 0xf4275249, 0x1fc07559, 0x40eb4405, 0xc398fc67,
+    0xd2b714ee, 0xfec06749, 0xd7d756b1, 0x162ad029, 0xcdad1bd7, 0x2b854fcf, 0x58afe1ed, 0xe7248ef3,
+    0xad8cda8b, 0x3d94c642, 0xdbb09d39, 0xff9006be, 0xf9336986, 0x4ca48ecc, 0x98f95edc, 0xad04578b,
+    0x3349e3e4, 0x4bdf4bc1, 0x1fea262b, 0x7372590a, 0x2427aa85, 0x035c84d4, 0xe2c1a461, 0x994b1f59,
+    0x3217a0ae, 0x9bc25a2b, 0x21924e99, 0x66709083, 0x0bcb614c, 0x526fb822, 0x9cccb68e, 0x4dd6ea8d,
+    0x67e261ae, 0xc595d617, 0xd24c837d, 0x46fcc36b, 0x7f4e04be, 0x37ad6043, 0x6be31db2, 0x7bda1809,
+    0x546fac1f, 0xe75a4c9d, 0x1480d39a, 0x2427c623, 0xb5e35a2b, 0x544f1650, 0x5ca3f21d, 0x55ec7498,
+    0xfb6d76c7, 0x13a9d1ff, 0xb450a520, 0x39cf0b75, 0x246c1f67, 0x0ae5ae85, 0xdc013983, 0x26166246,
+    0x9d9de7b2, 0x9963be85, 0x7b061fd8, 0x3df46170, 0xc2fa5645, 0x942f09b1, 0x26838665, 0xd7389e9c,
+    0x9dd87c7d, 0xb7084d0e, 0x507bc8b7, 0x9b5165ee, 0x7c7cf2f4, 0x85e50a5c, 0xd1800e46, 0x69250e00,
+    0x85999fb9, 0x0b59d5cf, 0xb1f5375f, 0x413677ff, 0xb2d40d0c, 0x8fb3df34, 0x70295d06, 0xa3d3b3f6,
+    0x8b293127, 0x4399d96c, 0x27097804, 0x112b327f, 0xcf36fe33, 0xbfa8c120, 0xc130a9ef, 0xd8b9b002,
+    0xba17fe0d, 0xca79e93b, 0x5a02c87a, 0x40c829b9, 0x86451001, 0x0eb0a1cb, 0x265d4f6d, 0xacf7fb93,
+    0xe20e6218, 0xb614fa9e, 0x7fe151d7, 0x4cdf3603, 0xc46fd7b1, 0xf494f867, 0xf5845a83, 0xa776194a,
+    0xbb4fa59f, 0x5fec1d53, 0x2841d9cb, 0x67a27c2d, 0xf3e58609, 0xb1d01f13, 0x7b762794, 0x47718ce9,
+    0x8f94063c, 0x048adc27, 0x79dbe77b, 0xb6613b2c, 0x307e78b8, 0x1670302a, 0xe349b0d7, 0x3c09e750,
+    0xc3923407, 0x5f1bdf20, 0xfe11c6b9, 0xd6c4706b, 0x7074a05b, 0x2eae2053, 0x4da59f90, 0x455ccc54,
+    0x6a353037, 0xe2521a23, 0x3c2bd2ee, 0x88891c7c, 0x8ca348ad, 0xd752b0e9, 0x2ce671e9, 0xec1b533a,
+    0x1bdb6813, 0xf3bad40a, 0xd75234ef, 0x7a86c01b, 0x96d2fa9b, 0x1e1fd627, 0x46531a5d, 0xe8336215,
+    0x1eebe403, 0xab36fde0, 0x07bbbcb6, 0xd583896e, 0x9999bdd6, 0xb9e4b380, 0x03049ec1, 0xdcd260a2,
+    0x71395cdc, 0x7e93e9d0, 0x1c40e8c7, 0xd438ee84, 0xade97c4a, 0x9cda7951, 0x81bfff9a, 0x4934ed35,
+    0x7fb45ddd, 0xaa2a6117, 0xb9149b12, 0x716287c5, 0x4633d029, 0x74791cd0, 0xd660f847, 0x1c815a13,
+    0x6d1c21ff, 0x6e9637d5, 0x313f4947, 0xab60b429, 0x2ca586c8, 0x929b09ce, 0xf3ea35c1, 0x2b46cf13,
+    0x728530b1, 0x49c850c3, 0x1901c39c, 0x2244bda0, 0x7badaa15, 0x9b720b29, 0xe44dc5c6, 0x8b5fdda0,
+    0x39b81ecb, 0x85ca7dac, 0x4bf6ed4a, 0x9b4d3b3d, 0xa3e6b15a, 0xeb23a087, 0xd4d687de, 0x2fcc3d00,
+    0x106f6a2a, 0xdced74b4, 0xb9626043, 0x6a3b2d40, 0x1a443e60, 0xdb0e9582, 0xb4f8ba75, 0xb7643a59,
+    0x973787a0, 0x0862c92c, 0x0ba9d92a, 0x8eecbce0, 0x10981a4a, 0x68ef6137, 0xfe0a88cb, 0xf4b6ea2a,
+    0x05698f30, 0xee5ca7a8, 0x1d6fa4a8, 0x9b32f0e9, 0xae104f11, 0xc8416a7a, 0x5477b49b, 0x034186cf,
+    0xbef29b7a, 0x0aa5914d, 0xfc4c73b1, 0xa5a3a612, 0x64317c60, 0x6e8b4b43, 0xb6d4c5db, 0x26856c09,
+    0x8bba7f0b, 0x1d6638c7, 0x45126fbd, 0xb9d2d0fc, 0xa1db6f81, 0xc3fda160, 0x6df02a80, 0xeb48dcc1,
+    0x0534a886, 0xdce3d363, 0xe6de1f83, 0x7b4b64c0, 0xb75a90e0, 0x25e30dc3, 0xea86e80b, 0xfb452a52,
+    0x09cb602b, 0x4c16b3ea, 0x710fde5a, 0xc8932fa5, 0xe90be970, 0x2accb2bc, 0x87ff0e25, 0x719d6278,
+    0x82f00ec4, 0x6c5bd5b3, 0x9473183f, 0xd0eb2d6b, 0x7fd8a6c9, 0x1614c3d9, 0x16fcbd0d, 0x3429521a,
+    0xaed61ccb, 0x82bcdac8, 0x364885a7, 0x98f6cf57, 0x9febdb01, 0x06906a70, 0x4656a01c, 0x1554ee3a,
+    0x7d19355c, 0xdeb1212c, 0xf7210483, 0x92411e5a, 0x79aa7490, 0xa06e9154, 0x318f7e70, 0xfb13fe91,
+    0xce899830, 0x175e325e, 0x91acd10a, 0x7a1fafbc, 0x8a09271b, 0x22acaf23, 0xafe3420d, 0x0cf9acb0,
+    0xceee619a, 0x87127848, 0xf827b468, 0x3cd5cdb5, 0x502a308a, 0x41906631, 0x8ae7d133, 0xc50b58e2,
+    0xd022240d, 0xc03bb6bd, 0x806eb923, 0x0ef528dc, 0xd7d357f0, 0x6a05165c, 0x72082120, 0x926c11db,
+    0x3b249959, 0x4f98c9d3, 0x2dd66004, 0xa878cb78, 0x49634ce2, 0xdf7624f7, 0xb1fcff60, 0x878a0835,
+    0x5dffdc36, 0x6ae1301c, 0xf81d2699, 0xe8681d47, 0xea1a3acc, 0x30cc5536, 0x5d83f782, 0x70fc178e,
+    0x705ac9ec, 0x33aaae52, 0x42ea28ee, 0xf6a66800, 0xb0066d23, 0xd1d0cc9e, 0x2b85d17c, 0xe90de3fd,
+    0xf4d9409d, 0x6a3b955a, 0xd3900f48, 0x8900c0b0, 0x815bb219, 0x33f9fe78, 0x57a8dc1a, 0x4d5814f0,
+    0x24b5711d, 0xf59fc991, 0x6baf1e41, 0x6e29bf7f, 0x98b45cda, 0x153d34a5, 0xdaac3248, 0xf337195d,
+    0x339a8bc6, 0x29e48a73, 0xb41ac946, 0x1bad43bf, 0xa79afbe7, 0x58d54012, 0xfda224d4, 0xa80b9a04,
+    0x804e90da, 0x965a182d, 0x66c2c39a, 0x4b0a2c7d, 0xed38a9f8, 0xf191c492, 0x3554a607, 0xbf9a4826,
+    0xebfc3d48, 0x66732e46, 0xf924828b, 0x59d92b3b, 0x0b43d95d, 0x3671f445, 0xe18840c4, 0x48a03b04,
+    0xbaeac07e, 0xc9b3604e, 0x9a5aa974, 0x3a1912e2, 0x1511fdf3, 0x810d7224, 0x89e18c4e, 0x7cccf4be,
+    0xb3230b75, 0xc36a609d, 0x0793bd67, 0xa9fba276, 0x21d39f9f, 0x0ef04cad, 0x2ac61138, 0x5edeafc7,
+    0x44f3b6d4, 0xd9ade85c, 0x7d85a992, 0xef7f1489, 0xa5a32238, 0x4f33cff6, 0x487f98e0, 0x243f3fc8,
+    0x640a2858, 0x3fffcf04, 0xaae0b7c3, 0xf3a4af2d, 0x1f5cb21c, 0xef18629e, 0xec85a499, 0x4ebe3d36,
+    0x9ddee79d, 0xca0c97ec, 0xdb8526e0, 0x75adbc55, 0x074f18c8, 0xda09acc7, 0x08b61001, 0x825f5fbf,
+    0x68ea1dd4, 0x3bddaaff, 0x435a130d, 0xf8fc2692, 0x4221204b, 0x8369f8a6, 0x41620d55, 0xfaf009f9,
+    0x5d8c180c, 0xcd5040bd, 0x46adcb4e, 0x037d505f, 0x9deab8d8, 0x576d99d0, 0xeba6e4d1, 0x6dd5d715,
+    0x2f005d26, 0x8a4c6a31, 0xe0cdab92, 0xb6ef153b, 0x87ea5eb6, 0x799ea0c6, 0xc710d91b, 0xb010061d,
+    0x38017836, 0xd30dddc9, 0x410bf8dd, 0x2f6ced2d, 0x9ec724bd, 0x97db01ed, 0x699725e7, 0xdade8df8,
+    0x0c0fc023, 0xaa9f2620, 0x83af518c, 0xdbf55d49, 0xa5b2e2d2, 0xc48da0c1, 0xc0c4ed5d, 0xf580b2cc,
+    0x549164d0, 0xc9a85399, 0x657b54e5, 0xf42a0b5d, 0xdd5253bb, 0xbd166b47, 0x7f2d88e0, 0x8751c698,
+    0x000a4289, 0x7abac5b0, 0xccd22564, 0x9b903a05, 0x45200635, 0x373acd08, 0xa3df857d, 0x98f32f56,
+    0xf9318ffd, 0x37754bfc, 0xe7615313, 0x87709b8d, 0x7dda6076, 0xab1911d9, 0x8188ccdc, 0x230e3cbc,
+    0x61ccefc3, 0x5be06b94, 0x9552bc8e, 0xae6af5bf, 0x11e6fed4, 0x08e5c985, 0x49f3e585, 0x0272b26b,
+    0x4c942b70, 0xaa775e90, 0x05550361, 0xab1a5de2, 0x24510c9a, 0xbda26444, 0xb3ae3bbc, 0x6d533c64,
+    0xc5aab66d, 0xf405696c, 0x01c18dbf, 0x367d88e3, 0x15c23433, 0x69c0f564, 0xfd91a68d, 0x6cde5133,
+    0x3b7d6132, 0x1fe30e7f, 0x2d22da76, 0xd501df0d, 0x588c2b84, 0x0a53fbbf, 0x659caf91, 0xb49df1a9,
+    0x2b16c309, 0x90ddf1e1, 0x48545680, 0x0d30ca12, 0xfead5dae, 0x10fc86f3, 0x0794493c, 0x265c6a1a,
+    0x8b719994, 0x2b330738, 0x28842c94, 0xd66eef90, 0xe93a823c, 0x8c8b2378, 0xc65ee1ef, 0x177c1bca,
+    0x4c4ba113, 0x4f2fa6b6, 0x4f3f02ef, 0x045b3f70, 0x7414da77, 0xd4e2c3f0, 0xb8ed506c, 0xe4efded6,
+    0xf9588ea6, 0x667404eb, 0xe1bc5a30, 0x483731e2, 0x5ebb2e01, 0x6c24712f, 0x3666e04a, 0xa1c699fb,
+    0x7f08ee9c, 0xe5f535ce, 0xd18a7ed2, 0x2066b863, 0x553b22c8, 0x04c1af1d, 0xd6bfd97e, 0xa27f1489,
+    0x51ec746c, 0xe927a57d, 0xbd12b2fa, 0xdb6d4816, 0xe110fa21, 0x19dd044e, 0x9e22b3bd, 0x6d768874,
+    0xaacbfdc7, 0xfd94987d, 0x3fbb285b, 0x19972aca, 0xe5aef557, 0x4e135c5c, 0x818878e0, 0xaa24086c,
+    0xaead704c, 0x940da8f6, 0xf683b222, 0x5f1f4389, 0xb75ca73d, 0xb0d6addf, 0x58eba1be, 0xaab967a5,
+    0x90af434d, 0x6e26123b, 0x86fcf760, 0xf49e8d9b, 0x9bb3bc5d, 0xaa893589, 0x339e962d, 0x5a18a733,
+    0x7f4a8e5c, 0x99ae4edd, 0x778f3441, 0x687838de, 0xb44d54f0, 0xec321f1f, 0xbe7b5a3e, 0x17d89403,
+    0xa4ad7c12, 0xf1799e8d, 0x6d445c43, 0x6a04b44d, 0xcb8bed01, 0x556ef264, 0xcaf6f971, 0xd356228f,
+    0x18b89337, 0xf4117f0c, 0x16262609, 0xe9b41257, 0x583a99e1, 0xadb0f7e7, 0xfb811df7, 0xaa099e9b,
+    0xb8e64ef9, 0xbeda4c43, 0x7f0601df, 0x2c63ce65, 0x3946e79b, 0x3594cb6b, 0xe3a8fc56, 0xb6f245db,
+    0x62b9e03d, 0xd40ef330, 0xfea05106, 0x6364d402, 0x46607c70, 0xe498a5c6, 0xde76abea, 0xb5dd3b77,
+    0x89983ff5, 0xb1c88d84, 0xdbb03618, 0x77787c94, 0x59b50411, 0x270a8827, 0x04024ac8, 0x08351658,
+    0x274f92aa, 0x5d4836fb, 0xff451ccb, 0xc7ec7664, 0x0f66e35d, 0x88efd98e, 0x2b09882e, 0x825ec229,
+    0xfec2b8e5, 0xee6b725d, 0xd24ef807, 0x24e8d5ba, 0x6af37691, 0x11c01485, 0xe497394a, 0xfd9e8e8b,
+    0x6b2490a0, 0x010a0a8c, 0xaab7889b, 0xac3391ab, 0x07e114d2, 0xbfb4a825, 0xc76d09a4, 0x5ab40bab,
+    0x37e6795f, 0xd17bf062, 0x82659860, 0x3082e418, 0x859b32a6, 0xcb545abf, 0xeb126693, 0x10b2f5ac,
+    0xc90be315, 0x81cd7fda, 0xaafc1deb, 0xf96159b7, 0xc55f0335, 0xe9829693, 0x02630348, 0xb270e5fd,
+    0xe9dd6ffa, 0x129b98bc, 0x04a3b1d4, 0x75ffb02d, 0x6d0bad44, 0x87707084, 0xc807eecd, 0x72cf405f,
+    0x28ac4c00, 0x3dc61de8, 0x77a3f1b1, 0x26b1d9a3, 0xfbd3e788, 0x692a69de, 0x0a022014, 0x01ad291c,
+    0xebc3c5d7, 0xa41f61fb, 0x76d8e93e, 0xc46d79fb, 0xe01d1edb, 0xce0b1499, 0x307271d7, 0x6d04f02f,
+    0x20d78641, 0x20f5012c, 0x22e02c70, 0x97446c2c, 0x6c2c59cb, 0x0ae0f718, 0xb6441547, 0x9ed85366,
+    0xabad4bb8, 0xf50eb795, 0x4c008680, 0xd51df1aa, 0xcc3847f6, 0xaf459894, 0xc6b1b43b, 0x7d1786ff,
+    0x85fa9aaf, 0x1768c286, 0x6680ee34, 0x146821d5, 0xe3181529, 0xb44899ba, 0x4dc927f4, 0x2475c001,
+    0x7c30ef04, 0xbd470ce0, 0x5f491a62, 0x7ce9b4a6, 0x4b193619, 0x6bd5ebf6, 0xa1f755be, 0x534dffcf,
+    0x925f173c, 0xc52fa7d3, 0xfd4b8a69, 0x5e1842bf, 0xed51aec5, 0x1336efa8, 0x1e582575, 0xca825a13,
+    0x85cef494, 0xe43ab293, 0x52ced119, 0x28d7a11b, 0x971589ed, 0x8c6e5999, 0xcab7a9c9, 0x467729da,
+    0x1366437f, 0x79a68a33, 0x611d8de4, 0xb8604815, 0x2ea45215, 0x51477eb3, 0xc3a346a4, 0x481c6840,
+    0xf4b56f78, 0x2c85182d, 0x1c63d785, 0x92e32241, 0x9675026b, 0xf40e7bc7, 0x432135fa, 0xf33559ff,
+    0x87e61e06, 0x75281c52, 0xbdefdac0, 0xcbbfc09f, 0x75e5abb5, 0xed093171, 0xaeb88155, 0x49fe912f,
+    0x13a2e807, 0x80bbcf4d, 0x33c2f43b, 0xf7c24446, 0x3adc6038, 0x006bc4c3, 0x1eebe11b, 0xe3c0b1b2,
+    0x00000000,
+    0x5e508dbe, 0xe297a14f, 0x0eda0aa4, 0x1157062e, 0xccd7810b, 0xe8c3d317, 0x724a9bfb, 0x4262958b,
+    0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000003384606560206072826633806377127787723921431976777\
+                          11984273740183180495765112991409062496875745134225841966700556811959451779072 */
+  { 0x00000000,
+    0xf1dfa8ed, 0xe175b334, 0x09b90bcd, 0x675dd80e, 0xfec41849, 0x21d12e6f, 0x4434c142, 0xdda602b5,
+    0xfdb779e4, 0xff86be9e, 0x777b2b0e, 0xc3a89d30, 0x87730e9a, 0x5c97dd02, 0x03f00f9f, 0xb4ab3d75,
+    0x89173a2d, 0x45f0dfb6, 0x59949ff4, 0x76d0c1da, 0x5fdca6ef, 0x0dc9703e, 0x341ba7b2, 0xd88e3fa1,
+    0x1f73fadc, 0xa5aac59d, 0x77d7ae8e, 0x338c88a6, 0x1e8938e9, 0x77a08ed1, 0x49769021, 0x5335b31b,
+    0x1a0963f2, 0xb9592ea0, 0xe2b75fbb, 0xb2247f22, 0x5fa6071d, 0x81a4bf8b, 0xafba0e59, 0xd173e307,
+    0xb11525b2, 0x9b0f3da3, 0x70122343, 0x2c0ff418, 0x582e7ec9, 0xcbc5ab28, 0x2a1216ea, 0x923baf5a,
+    0x91da775d, 0x60e02920, 0xa046d89f, 0x9e956803, 0xa00865fd, 0xe1a26626, 0xa7c3e5ba, 0x275a6c62,
+    0x6ea8bee2, 0xccd5cc17, 0x43ec1522, 0xae8bd9e9, 0x1bb630f5, 0x555a4387, 0x399e86c3, 0xaa8655a2,
+    0x1f5b07b3, 0x70445c54, 0xd17b4f4b, 0x32f59cf3, 0xb8b4106f, 0xfffa71b9, 0xb4aef689, 0xf5b1dcbf,
+    0x63449120, 0x158d033e, 0x7ef8758b, 0xbf93e4e3, 0xc9712997, 0xf6361108, 0x52b42ece, 0xdb72f601,
+    0x43a86642, 0xa7aff9b0, 0xbdcee307, 0x3afc227d, 0x66446bc7, 0x4a6b7788, 0x2b341be8, 0xd47d1fe9,
+    0x78796376, 0x9331851a, 0x531d2390, 0xa326833e, 0xe36d047d, 0x37f5320d, 0xede2579d, 0xc0327698,
+    0x774077b4, 0xa1d1a024, 0xd0415550, 0x531ebb15, 0x0e50e169, 0xe899e65a, 0xde736d46, 0x7f0e0c30,
+    0xb41e06f5, 0x1c75e5f2, 0x5d476afd, 0xf5faa051, 0x7873141d, 0x87ee6bcb, 0x4012e16e, 0xdc86a300,
+    0xe685dd96, 0x8f189dfe, 0x4abe2338, 0xd956061d, 0xc7fa83f9, 0xec26319a, 0xe15361ff, 0xbb608012,
+    0x3dc35673, 0x6fc63867, 0x1fa9a4fb, 0xe0c05fb3, 0x5d5264e5, 0x6c8ea742, 0x0a49e4e9, 0x4ca18a15,
+    0x2e187d7d, 0xc61d793a, 0xd926bafd, 0xcec87385, 0xa263ca1b, 0x9b71b546, 0x1e50b32b, 0x097b7225,
+    0xf8cc1458, 0x7bb5ca1c, 0x8bfee628, 0xc599ef16, 0x2eeca463, 0x541eb729, 0xa18ab6fe, 0xe29e1927,
+    0x87eeec56, 0xaf1f16fd, 0x21eef6ea, 0x207c39be, 0x5e12a657, 0xebcc8609, 0xee3baab3, 0xe1e7a9be,
+    0xd5d768ba, 0xe2fd0112, 0x004f542c, 0x359b6c1c, 0x5f6b2245, 0x34a66bac, 0x273ee53d, 0xb06acf9f,
+    0x9820edfd, 0xa5cacd38, 0x3101d378, 0x11df0931, 0xd690879a, 0x71717dde, 0xf07e32b6, 0xcafe0032,
+    0x34813c7a, 0xe884ad5d, 0x049c04a9, 0xec8eb8af, 0xca8a677e, 0x81c7a943, 0x1f6bacd1, 0xa614f574,
+    0x5dbbaa6f, 0xc7e20204, 0x4a7bae62, 0x39c736a6, 0x08bc60c6, 0x762ee78c, 0x7b9ed504, 0x51d29aac,
+    0x5b19946f, 0xfc27d26f, 0x2b27f60f, 0x5b7846f2, 0xd77c0607, 0x8c041a8b, 0xc95d9519, 0x4c6cb912,
+    0x56403392, 0x7083d992, 0x8b5c39e6, 0x227b069b, 0x2dcd100e, 0xd551a06b, 0xe98adae8, 0x77682dd1,
+    0xffc2a0af, 0x6432e5d9, 0x1593e576, 0xd091a047, 0x9c4c314b, 0x6667a51a, 0xb4369bf2, 0x0f4e3d9a,
+    0xbc71dfaa, 0xd8aa54a4, 0xf64b0e80, 0xb2bc8534, 0x90e759c0, 0x24f4abf7, 0xeff05e69, 0x4e0cecd2,
+    0xd31cce81, 0x2e44195e, 0x26bff3dc, 0x029b4bcf, 0xfddb11b6, 0x326253a4, 0xf17f93cb, 0xe1678413,
+    0xe2a8272a, 0x4f2507c5, 0x92aa287b, 0x37dbc32f, 0x3b342fa2, 0x50462c99, 0x408ac704, 0xd1d5b760,
+    0x6ea9289b, 0xd5458e79, 0x364e2eb7, 0xa98fda95, 0x347f3d0c, 0xb4ba73cd, 0xa38835ff, 0x20c430c4,
+    0xb43ad033, 0xadf549ce, 0x740930d0, 0xc84b174f, 0x199fd919, 0x951aba40, 0x0437a5ec, 0x8c1f822b,
+    0x376849ad, 0x8edcdbd1, 0x1190ce24, 0xeca2635f, 0x801a896d, 0xcfbff3b0, 0xbda5de8e, 0x36f9f622,
+    0x4a17054e, 0xa3a221ab, 0x4bc4397f, 0x5d76496c, 0xffd14ec3, 0xf0bbb12e, 0x1b7a947b, 0x80020b42,
+    0xf140ba84, 0xb7f410b2, 0x9f73556a, 0xb41ec962, 0x44ab8f4f, 0x50fb8424, 0xc4fb04d5, 0x629e8013,
+    0x3e43b831, 0x90abc046, 0x21f67ee5, 0x6db188f9, 0xebadd3fe, 0xe75646cc, 0x16184541, 0x3af99234,
+    0xc53fcdcd, 0x60c91577, 0x2a3628fe, 0x148ebd87, 0x70eded09, 0x459f7360, 0xde303b6f, 0x064b2193,
+    0xc7a04187, 0x23d65756, 0xf915207a, 0x48cc0299, 0x1f1ace61, 0x1c60eb47, 0x27e84187, 0x804b716d,
+    0x13186527, 0x671d471e, 0x6b98ad0a, 0xe17dcd9b, 0xa2583d00, 0x1626234e, 0xfe7c4f13, 0xbe11e830,
+    0xd608ee69, 0x236bc9c2, 0x382a42e2, 0x180d0151, 0x688ce7ea, 0xb8d4584f, 0xcd0c1896, 0xec4e8db8,
+    0xda4b602d, 0x206d7151, 0xe4012ed9, 0xc9a56c3e, 0x1e9b9312, 0x87223ee9, 0xf0dac821, 0x4e4d8ab0,
+    0xfe7702af, 0x15637cf7, 0x039c8483, 0xdfa3e50a, 0x9cc613cd, 0x0e9c4ebc, 0xdda4ebcb, 0x5f433877,
+    0xd6b0b866, 0x39e3de84, 0xdfcc85f6, 0x77139531, 0xda4ff652, 0x6b58626b, 0x973372a2, 0xf0b06c36,
+    0x1a1db763, 0x4a4c42a0, 0xb7bcf976, 0x40ff976e, 0xf2fcf77c, 0x29b20cd4, 0x08c5d52e, 0x3650bd29,
+    0x5c1641ab, 0xedc5633a, 0x47d0e096, 0xca44bb96, 0x7e32e8f9, 0x855a392d, 0x62956328, 0xc8f51f57,
+    0x7f2c715a, 0xe87229c7, 0x1cf7afaa, 0xb93d5ec0, 0x93c78caa, 0x26fd6b64, 0xc4dcbdfa, 0xa7648241,
+    0xc1b1c200, 0xa5d8d417, 0xae6b45fb, 0x94639395, 0xa3e32fa1, 0xc09dd957, 0x17ab1979, 0x0dd1919a,
+    0x38c0f751, 0xa7d60872, 0x94c1ad1c, 0x57a4b0e4, 0x0e25147f, 0x290caa5b, 0x74e0dda2, 0x8b646763,
+    0x5c7f68c6, 0xe3774aed, 0xf1a32845, 0x3a7ee0fd, 0x5645ae22, 0x65aa650e, 0xa72207ff, 0x665d37de,
+    0x68d1daf7, 0x231f943f, 0xb4b02128, 0x5057e2b0, 0x4f7ea1eb, 0xb5c5c4f0, 0x453afce5, 0x95043162,
+    0xb3d4b262, 0xf7086815, 0x4eab25ef, 0x1f2bdd63, 0xd76334cf, 0x731b49a8, 0x2ff2bc97, 0x1fd933fb,
+    0x76b879b2, 0xe64b7013, 0x31a5fd20, 0x234affdd, 0x2c7b40ec, 0x40937d77, 0x1deb4e7f, 0x0c7a85fd,
+    0x818175c1, 0xce431e20, 0x7212120e, 0x391392c1, 0xf357731e, 0xa4ab4854, 0xb2fe1548, 0x3cae2a05,
+    0xa8cf537e, 0x1ef8228c, 0xe375a6a2, 0x39f1d08b, 0xae150c83, 0x620900a5, 0x277aad03, 0xe6a9ecbf,
+    0x3e7c4f99, 0x6338dafe, 0x3445e681, 0xeba02348, 0xd78ef60d, 0x39b267cc, 0x1d8a4196, 0x1c8b8f5d,
+    0x335a9b0b, 0xf068f385, 0x19fad28c, 0xeffcc796, 0xe9f07a94, 0xeef54e43, 0x777b04e7, 0x53b4a4bf,
+    0xb4be67b6, 0x03d97a97, 0xdc37182b, 0x1d5b8d14, 0x749dbf1e, 0x1014c25f, 0xda239d82, 0x79a2b42e,
+    0x01e2d1cb, 0xc0752d70, 0x6bff025b, 0xcc0de144, 0xaae2b86d, 0x5564cb8f, 0x8bc5f37a, 0x7fbc9496,
+    0x80bef936, 0x7777ec4d, 0xec4e798a, 0x53a48424, 0x1dd2513a, 0xcaf621b9, 0x8f29633f, 0x0df30a3a,
+    0xf29dfc5b, 0xae76b82b, 0x3fbc9e66, 0x022dda75, 0x8ee8481d, 0x77b7dce3, 0xc581dea3, 0x24e54b8b,
+    0x7a6dc354, 0x2c8a3b21, 0x51780ac3, 0x013e50a5, 0xe26892e0, 0x2b6c0da2, 0x6f803740, 0xb12425cb,
+    0xcd129d69, 0x49c5a50e, 0x17946601, 0x2e8c6122, 0x1c53409b, 0x079b6356, 0xc5181ecd, 0xb20f0543,
+    0xf5f009d5, 0x2ca215f8, 0xb6539be6, 0x2925d277, 0xa4d7c649, 0x95b09c0c, 0xedfcf0e5, 0xaf261e0f,
+    0xcb61c7e3, 0xdcb547ee, 0x1af0f57b, 0xd7196174, 0x7b0a2b0b, 0x42dfa445, 0x62ca8817, 0xb6418e6b,
+    0xef3fa8b0, 0xa06fca3d, 0x8405bc82, 0xd7f49f12, 0x35e4083a, 0xcc7ae230, 0xdae3c9f1, 0x4fa916af,
+    0xc534d136, 0xc60e9ccb, 0xe7e0ad6d, 0xa96b50b3, 0x361b7356, 0xb3d27575, 0x9fa54347, 0x21f5d87e,
+    0xe5ce171d, 0x546fba8b, 0xc3a6c755, 0x01f6562d, 0x3f6c848f, 0xed5f6afe, 0xb15b1ca9, 0xe043545c,
+    0x110010fd, 0x4c5cdf3b, 0xbb845d68, 0x8316683a, 0x7fa7c4ef, 0x192cc569, 0xb3d2855c, 0x7ff08a99,
+    0x4b6c0bf2, 0x7e29c2ee, 0x018caf9d, 0x55feed7c, 0xc16c78e1, 0x4f100a7f, 0xc2bbb998, 0xe9d763aa,
+    0xcd4f6854, 0xbe7a3469, 0x56113136, 0x7581ffc2, 0x33b0988d, 0xd6e957f0, 0x9d9b506e, 0xe4ad4cde,
+    0x47910309, 0xdb74f9b2, 0x8b40b860, 0x21ab3fcc, 0x21e947ba, 0xbd083d5f, 0x1ea4fc50, 0x6dc18a2a,
+    0x67265f78, 0xd007d89b, 0x5cb2f209, 0x6e88598f, 0xb52f52ed, 0x85a89b3a, 0x3fdc9926, 0xba14dbc9,
+    0x88055086, 0xd1efd666, 0xe64e93cd, 0x027e3e97, 0xa41ad92d, 0xb3cd742a, 0x2e5e0844, 0x100f9964,
+    0xf9ced1f0, 0x7d08a5bb, 0xc4923830, 0x94632179, 0x52dc1e1e, 0xdf7ac401, 0x8433d86b, 0x2984e0f9,
+    0x0f514090, 0x1e5e215b, 0x185174e2, 0x7ed3ce4b, 0xb26626a0, 0x098816cb, 0x788a6d79, 0x25e9c037,
+    0x9b2a6b0b, 0xc6cb5e6c, 0x33c07d2a, 0x035138af, 0x72f46cb9, 0x70453400, 0x832603ec, 0x4ffa0251,
+    0xc8ee7029, 0x21a49137, 0x66579e99, 0x578aa1d5, 0x5f2789fc, 0x176db420, 0x7bd0e7c3, 0x20caca75,
+    0x8154b56e, 0x22e24124, 0x30da3a4b, 0xfb17b3de, 0x747c2ce5, 0x75cbdb25, 0xe1af40cf, 0x22fcbbf9,
+    0x7cdf576e, 0xd24f1fcb, 0x303729a9, 0xf11ec7da, 0xa3018d7d, 0x983fcc72, 0x779ba155, 0xa1a78da6,
+    0x7a601a28, 0x6586bdb4, 0x72d409f5, 0x55b73cfc, 0x3238822c, 0x8bff0fa3, 0x7db35e7c, 0x80c323d2,
+    0x52ed1aee, 0x56a02122, 0xd6c850aa, 0xe7caaeaf, 0x0a44527b, 0x3371fbdd, 0xd0f9fd38, 0x0ff1b23b,
+    0x17cddfec, 0x89ec772b, 0xd155bdaa, 0x6fb82329, 0x804be904, 0x7497c627, 0x776ad297, 0x718e78ca,
+    0x752da03e, 0x6df62990, 0xff0f8de1, 0x72bb30cf, 0x9426120f, 0xdf3e8fe2, 0x20d7c9d4, 0x92d8ccb4,
+    0x933cbac0, 0x58553d4e, 0xbc4ad6d1, 0x6a7c4064, 0xc7303fc6, 0xdeda2b85, 0x4197ed35, 0x4da032b1,
+    0xe728b375, 0x070734c2, 0x7429e896, 0x91b16f28, 0x1d25795d, 0xb7bc3cf1, 0xb65abed1, 0x90cbefc8,
+    0x38e7675d, 0xe4a7e3aa, 0x869f4b6a, 0x8715594c, 0xac098cfc, 0x84b1eb08, 0x5284f0b5, 0x2432acb6,
+    0x96278de5, 0x341628ab, 0x04f221b2, 0xdf56d403, 0x5a1a7fc8, 0x2d84af37, 0x17359a89, 0xce816caf,
+    0x6f8e6142, 0x5b29ca45, 0x84016b99, 0x9c2d6631, 0x60276459, 0x71e7f427, 0xd75c31d4, 0xf87806a0,
+    0x9a508e3f, 0x6f0bc987, 0x70277534, 0xb0b6e803, 0x11c1ba4f, 0x216d5df6, 0x6c440b22, 0x9a6ac7bd,
+    0x3bba1ac1, 0xdcc30da3, 0x3c6c8e18, 0x493dc4f0, 0x99c0ceab, 0x9393e8de, 0x7b927d73, 0x8d0797c3,
+    0x18d13cd6, 0x03a35786, 0x9cf9cb40, 0x352f84c4, 0x82c6e136, 0x6112138f, 0xbc1a9d71, 0x025c569f,
+    0xdb805eb1, 0x156c6d52, 0xac0a7253, 0xe9fa14fc, 0x65003f90, 0x7246c948, 0x417e5653, 0x010c186d,
+    0x20e16a55, 0x8cf7f429, 0x2d44f645, 0x1e941510, 0xf314db00, 0x6389d2e4, 0x5a5772fc, 0xe125aa59,
+    0x022ccd1a, 0x87154259, 0xba83279b, 0xca04ee3e, 0xbdf31de2, 0x8e3e723a, 0x1394c117, 0x39455a1d,
+    0xa7241f39, 0xe7af348f, 0x706dd460, 0xcf848c0a, 0x50425de6, 0xa4e7cce4, 0xbe99ccf7, 0xaef16740,
+    0x99245b56, 0x0f25bcb5, 0x73933102, 0x3c098e41, 0x8782ccd7, 0xac78b707, 0x2e57debc, 0x28cb9880,
+    0x58a817f1, 0x87206405, 0x74abf44d, 0xaa019996, 0xfcd2278c, 0x57451cda, 0x7f65bd61, 0x4728b18d,
+    0x1c36d322, 0xa7e4252e, 0xc9a76418, 0x17cb63ae, 0x8f6cdc43, 0xce43c1ca, 0xd242c7be, 0x6ea17340,
+    0xa1966b96, 0x9d5f5eaa, 0x0db6b5ad, 0xbf6900f7, 0xe01cdc03, 0x5cd89dfc, 0xf5d475d0, 0x60ac9c16,
+    0x64b89692, 0x607c6fb9, 0xcac3f00f, 0x6ccb55c1, 0xdc814814, 0xf91eb988, 0x681b8635, 0x047b97e2,
+    0x6c3267dd, 0xed6f563e, 0x69488882, 0xed1677f3, 0xc615c88b, 0xf50d5e07, 0x5cf973f3, 0xd039009f,
+    0x7d3c897a, 0xa3f88bed, 0x340fd884, 0x2cdf3201, 0xd14f9175, 0x82194ff5, 0x7b094ccc, 0xcb72f1c4,
+    0x2d10a660, 0x616a953f, 0xe5b177cc, 0x7895dbe3, 0x94d89835, 0x7b234e3b, 0x2f200ed9, 0x8c754bc5,
+    0xa17d522a, 0x3b33ded8, 0x76545bfd, 0x6160efb0, 0xa71a63f6, 0x5316a47c, 0xb7d99aac, 0x0eff0475,
+    0x71b5ebde, 0xf1ce1ed7, 0xf3c27719, 0xc832b418, 0x61e35f8f, 0x1ffc0933, 0xcc6c23e7, 0xe0535aeb,
+    0x5067ae98, 0x35180053, 0xe5f2684d, 0x09dd5305, 0xb5092bf2, 0x6975ae8f, 0x1b84de03, 0x1ef89b22,
+    0x9046578f, 0xc5efe22e, 0x3817b018, 0x7e3e4dca, 0x8bdb1ae5, 0x1c45b14c, 0xa74522da, 0x98ee70ff,
+    0xec8719f5, 0x3d44d007, 0x246e70d6, 0xe8ea4f99, 0xf3f6cf2c, 0x971d28c7, 0x49fbfdba, 0x903c5cca,
+    0x1520b184, 0x3539c2f1, 0x25099420, 0x330c78ee, 0x7927f8a8, 0xda98611b, 0x2f119a05, 0x7708b04c,
+    0xda37340f, 0x0f60783c, 0xf6107232, 0x11cf5c56, 0x7efef322, 0xf26a0d0f, 0xec495cbb, 0x6429b4b2,
+    0x28cb6dfe, 0x1364a804, 0x857137b0, 0x7acefb92, 0x7121b5a5, 0xdd7a7f4c, 0xfb1fd039, 0x8076059b,
+    0x2559f528, 0x05b65311, 0xa6efa1f1, 0xe2dc5ab5, 0x8805b3eb, 0x0c4b9da0, 0x662c0097, 0x7d959038,
+    0xc6dd1d01, 0x38d3f35e, 0x1b180d44, 0xe20ff462, 0xaa7b64c1, 0x94ca6e96, 0xfd887a5c, 0x13946f59,
+    0xe72af607, 0x9add40cc, 0xdcd58f85, 0xa2c6f64f, 0xf17b44d4, 0x3e7a0cbd, 0xa5efca67, 0x6154dbe7,
+    0x7851618b, 0x0e1081fa, 0x408e4af6, 0xbf39b98d, 0x2901e45d, 0xea20aa89, 0x181d9b6c, 0x98689b0c,
+    0x72661e40, 0xbaa6f1ec, 0x8f875d99, 0x2390cb76, 0xdca6cc8b, 0x517e9b6b, 0xd12719a7, 0xc74ed67f,
+    0xe1d9a454, 0x52432e2c, 0xcd93774a, 0x448cb25a, 0xcb8bd2d5, 0x750a60a6, 0x194a6cb1, 0xa1c6c2ba,
+    0x04706f01, 0x57d59b96, 0x32706d6a, 0x39e11be0, 0xde49144e, 0xe7b151fa, 0xfb593f0d, 0xe998f509,
+    0x11907075, 0x01bc0d4c, 0x132fc939, 0x8f389f27, 0x038368f8, 0x8a13384a, 0x4af5a91c, 0x9bca897c,
+    0xa9af22ef, 0xa9487074, 0x7b6cffe9, 0x286d9dba, 0x645f9492, 0x8d721277, 0x0f60d8c0, 0xea2ddff5,
+    0x34c7f719, 0x430b9e76, 0x5fdad9bf, 0x22389ac2, 0x8d9307aa, 0x7fa6c3fe, 0x0d535a09, 0xefd6864f,
+    0x0878c031, 0x7fb75952, 0xff866e36, 0xfa4c95ba, 0xb811d8a6, 0x7af9004d, 0xd2b2c4e3, 0x78bd70a5,
+    0xed81bcbb, 0x34bb5ed8, 0x8110d0d9, 0x2c48b710, 0x323dd293, 0x4ddc1bae, 0xfa3a1339, 0x89a2e2c0,
+    0x86f63cf8, 0x172a0650, 0x27a8f9e5, 0xe2552efe, 0x2824682c, 0x0036c124, 0x93c8da0e, 0xba801484,
+    0x22352698, 0x680069d9, 0x0360dc9b, 0x3856fe77, 0xdf185107, 0x9f3fa89c, 0x4b23dbc3, 0x4f6f44fd,
+    0x33b056ea, 0x18da5fe0, 0x08ce65b9, 0xb75200c0, 0x1c205502, 0xf0b468d0, 0x866c14c4, 0xe261fa9b,
+    0xcd00ac12, 0x8741ff2d, 0xc512e3d0, 0x1b58a8bd, 0xe14f2894, 0xb4979a3a, 0x15f65ad1, 0xf176b1bf,
+    0x00000000,
+    0xaf2846de, 0x714bd0a7, 0x076d0552, 0x88ab8317, 0xe66bc085, 0xf461e98b, 0xb9254dfd, 0x21314ac5,
+    0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000001692303280103036413316903188563893861960715988388\
+                          55992136870091590247882556495704531248437872567112920983350278405979725889536 */
+  { 0x00000000,
+    0xf569c99f, 0xbe6276b3, 0x9124e67d, 0xe61a0fa0, 0xacbba5bc, 0xe0bfcc0a, 0x822b1798, 0xfc7ee2cc,
+    0xa2f707ae, 0xddcc44d9, 0x98e808fc, 0x27ccdbcf, 0xd8f990d1, 0x52e82367, 0x6d5012fb, 0x3aecf2e5,
+    0xd610064e, 0x2474e768, 0x1e3d4e05, 0xd836e8c5, 0x90081273, 0xd0a4449f, 0x77610e32, 0x040d69bf,
+    0xb46acd71, 0xa66ea097, 0x99e58500, 0x92744785, 0xea2ee4ad, 0xce22f5ca, 0x446c5314, 0xe9281537,
+    0x447ee352, 0x9207c348, 0x4ca1870d, 0x50d6b635, 0x9eb3d869, 0x578aba09, 0xe3f12335, 0x73803758,
+    0xd4571568, 0x41792655, 0x4d78f7b4, 0xb38ee95e, 0x71fa0a0c, 0x86f5bbf0, 0x1897809d, 0x3c36c822,
+    0xe6b82aca, 0x5d3c6d1d, 0x1d51a185, 0xea919e92, 0xccfb9d31, 0xa04bd375, 0xce4126df, 0xba1b20b8,
+    0xadbd2488, 0x1931266d, 0xbf3b7649, 0x23a36f83, 0x9fbf814e, 0x4544426c, 0x7a19d761, 0x37ac5f57,
+    0x0760a939, 0xc7ecde44, 0x3a706111, 0x2f15a5ad, 0x330162c9, 0xb37afb39, 0xb6b74636, 0xa929ea88,
+    0x25f54999, 0x3e4d5bda, 0x948c4fd0, 0xb6e2c2a6, 0xa2ac0bea, 0xa313814d, 0x8dca6333, 0x5d8b1a58,
+    0xfa4f6f88, 0x5f66b876, 0x66689b47, 0x2a6346b6, 0x20b46e54, 0x0e3ce0d0, 0xfdd5a908, 0xa2f43588,
+    0x83265130, 0xf77c98db, 0x526c91b2, 0x998da960, 0x7e7002d0, 0x9c098345, 0xe22749a7, 0xc8e0f76a,
+    0x30252626, 0xa16c64ae, 0x7f33523a, 0x8de68d0d, 0x2e76a4dd, 0xffe9f1e7, 0x94c9409f, 0x8179c3c5,
+    0x360c3c75, 0xef196eb7, 0x81070bc6, 0xc392ed49, 0xbc9623e3, 0xc8765951, 0x996892d2, 0xcdef42f4,
+    0x23dad1d3, 0xb15a7daa, 0xf07ee3b8, 0x9f712e3e, 0x659f38fc, 0x6b582b24, 0x093bccfd, 0xb4f5bd9e,
+    0x42cabd07, 0x7f936552, 0x4bd0861d, 0xbee5f60b, 0x56662732, 0x162510e5, 0x013eef8d, 0x38466324,
+    0x6a1e913c, 0xf07664b3, 0x2dd25861, 0xf3fb5362, 0x9d1f3794, 0xbc68a560, 0x7ce4a272, 0x20aab01c,
+    0x7e311921, 0x4158ddaa, 0x2c728194, 0xf85f8eb9, 0xd1b5e973, 0xec0f3f67, 0xd8b4f14c, 0xf9643672,
+    0x0e954508, 0x839d70c4, 0x1ea195b0, 0x64b95e60, 0x03c26aa9, 0xd3290e73, 0xe548e338, 0x2a7d48a6,
+    0x0685f773, 0x73970ba8, 0x1b6e5b62, 0x72b78665, 0x63c84c85, 0xe7aeeae8, 0xe7271e9c, 0x95862394,
+    0x88ef0a4b, 0xe9019c2f, 0xd1d10007, 0xc470ebc1, 0xb78716cd, 0x1b858c09, 0x1dbb6a91, 0x561c714d,
+    0xe953df59, 0x2c314f21, 0x891e92f4, 0x02e224db, 0xb1908f9b, 0xcfa4aa4f, 0x0c3662d9, 0x7058d3a1,
+    0x18809be4, 0xdc418a6b, 0x2afcc039, 0x94f0c9b9, 0x2406ef17, 0x8d16a484, 0x9c0d04e3, 0x4c6e6634,
+    0x6fc9752b, 0x91f9202e, 0xd400a574, 0xcf418b50, 0x8685763a, 0xb2050c77, 0x53a76c15, 0x512b4c60,
+    0x6c44fa5b, 0x669dbe18, 0x211ae9c9, 0x81b37d23, 0xbd2b8311, 0x642e59a3, 0xd1a81acc, 0xfd12b18c,
+    0xff2724fc, 0x1ea2ddb5, 0xca35a75c, 0x7f74ceed, 0xcce132c5, 0xa191c890, 0x3a86c0f1, 0x01823a05,
+    0x4988eb0f, 0xccb635a3, 0xca9c4692, 0x8dca6848, 0xa87fe059, 0x41f232a6, 0x1a182495, 0xd61832c5,
+    0x110e015f, 0x0b07e234, 0x884963d9, 0x032ad570, 0x92535730, 0xdadd82a1, 0x0e663f41, 0xef742814,
+    0x6a5b3c4f, 0x990cb006, 0x4a446dcc, 0x0757d3e0, 0x0c4be390, 0xa93d771d, 0x512d53ce, 0xf859b581,
+    0x5d39c16d, 0x1e367596, 0xf4cd4802, 0x1f981846, 0x82b4a5cc, 0xe2e02cdf, 0x49e92ecc, 0x47cd0fb3,
+    0x856a961d, 0xf0d90f8a, 0xc3a26b50, 0x79898d97, 0xe2a2162b, 0x715b2583, 0x4eef1267, 0x5feb4eb7,
+    0x7bf33694, 0x45c0ba34, 0x72f44e67, 0xceb55e3c, 0x36ec7633, 0xda4443a1, 0xf39c1270, 0x5a042899,
+    0x91c41f9c, 0xbd9b98fc, 0x3d13a589, 0x233f5416, 0x866f4463, 0xf5826a3f, 0xdc925ab0, 0x151c7b7f,
+    0x97906cbe, 0x5851cbf2, 0x54d7ad97, 0xb5e971ef, 0x375895bf, 0xe68b49b3, 0x4e46eaff, 0x3bc4787d,
+    0x9b743d9b, 0xc4ff375e, 0x4c319b7d, 0x4d02ec03, 0x9eb1869c, 0xd4e60c34, 0x19cad2ab, 0x8ba04e05,
+    0xa64fa6bd, 0x839f20b8, 0xb602ddb9, 0xcf878f11, 0xbd852309, 0xa586146a, 0x3873411e, 0x9f2999fe,
+    0x02e4cb4c, 0x7597ecf9, 0x62486fe2, 0x13e816c9, 0xdaa829c9, 0x28150716, 0x49f58515, 0x643fce65,
+    0x40752457, 0xc603f315, 0xa2899714, 0x9a92f934, 0xced6188b, 0xbbdee5d0, 0xf16ba76e, 0x953b14f2,
+    0xa39d7b79, 0x105009f4, 0x66706cfb, 0xeb2cf8be, 0x28c81c97, 0xa44e6419, 0x54c56719, 0x4a8893e2,
+    0xd805cf18, 0xf6c9e085, 0x8feeee9c, 0x83ab6dcd, 0x999ab7d9, 0x2d3e93ff, 0x02bbc54d, 0xac9cbe4e,
+    0x576fe59d, 0xde0f6914, 0x3d482bba, 0x81f0d807, 0x497dbf85, 0x227fd3de, 0x2dc873b2, 0xd423a35c,
+    0xcb1315dc, 0x2047f52b, 0xe3aa293c, 0x690b0c9f, 0xe16f6153, 0xb9a85881, 0x3e3c28fd, 0x5d745345,
+    0xadb01b83, 0x4f1f9001, 0x76fed991, 0xb3e638c2, 0x66c01b6d, 0x735f9eff, 0xfeb7e134, 0x5d812158,
+    0x5e8635df, 0x12fc7b6e, 0x2adda901, 0x0a2b8cf9, 0x5bd389a7, 0x5346ec06, 0x1b181668, 0xd2c7cfdd,
+    0x47722bcb, 0x3ce0753e, 0xcb86a864, 0x91ca6aa4, 0x0639e969, 0x3bc2009c, 0x368e7cac, 0x750ae8e8,
+    0xbf2c7752, 0x07d5fd14, 0xcde0ace8, 0x62bc41c2, 0xf47f70f8, 0x13e0989b, 0xbd738a0d, 0x05aca83b,
+    0x00d87bb7, 0x8464092e, 0xf16c2d0a, 0x9753bcc4, 0xdfe0f856, 0xd3d40610, 0x4b431941, 0x975fbdf3,
+    0x8519a3d8, 0x16c61462, 0xf7941398, 0x6153ac93, 0x433dd5e9, 0xebb40978, 0xe14bf85f, 0xe6213e5e,
+    0x595d171d, 0xd83b0593, 0x688e259e, 0x3fc01e03, 0xdf0bfdbb, 0x9a351564, 0x1bfb5767, 0x5a90b91b,
+    0x7b3f7dae, 0xf16b426d, 0x17756f8d, 0xa3e0d4a6, 0x680c965e, 0xe5a9c9fb, 0xb72f3ed7, 0x92d703ad,
+    0x8c8ead42, 0x5ebd9c2f, 0x1106d610, 0x422e4b3c, 0xcb16dbd8, 0x9f7ab902, 0xccd4b0fa, 0x052c2c90,
+    0xafe233f6, 0x6a3e87f1, 0x03700324, 0x9418cbe8, 0xa1363460, 0xacc29412, 0xe6dde533, 0x2e6400a4,
+    0x78420df8, 0xb3a4d885, 0x1c5efc96, 0xe87573f4, 0x2feb9257, 0x6c2aa2a9, 0x94630016, 0xad457bba,
+    0x07a448c3, 0x76934ad0, 0x379309c4, 0xe1a4757b, 0xabfb7a72, 0xa511de50, 0xfe2efc09, 0x8b862cd7,
+    0xc6a2dd2e, 0x2c1dd8a1, 0xfef79115, 0x3e751094, 0x05f724e5, 0x75583186, 0xf253c33d, 0x481732cf,
+    0x59408c9b, 0x51c68ecf, 0x58436984, 0xcd2bff3b, 0xf043bef1, 0x11f566df, 0x7eeb776f, 0x6917dd99,
+    0x97056191, 0x73aae984, 0xd7681a1c, 0xd947e52a, 0xbcf750ff, 0x5a36cf70, 0x137342e5, 0x8516b038,
+    0xcb9145a3, 0xb32c3766, 0x153c95bf, 0x31f049f7, 0x709d862c, 0x75d4ab79, 0x765dfc2d, 0xdd9ddb9b,
+    0xa4dd5c76, 0xda3de3dd, 0xcbcac9dc, 0xe5c87e9c, 0x18736e10, 0x79008888, 0x716ddb18, 0xfe1da9f2,
+    0xe5674566, 0xfb7d9356, 0xb921cd6f, 0x24d592ad, 0x5b476fdf, 0xa7baa5bd, 0x77d1c68d, 0x695c5e0c,
+    0x77ba9bc0, 0x003dd677, 0x72be3e22, 0x68fc394e, 0x6028361a, 0xc020cb57, 0xa221b674, 0x0f261149,
+    0x47e624ef, 0x83b207cd, 0xb6e65373, 0x8f5b382a, 0x9660df94, 0xf442c65a, 0x468cc9b5, 0x49196160,
+    0xf06d9062, 0x32c05d40, 0x737971a5, 0x8dbdb666, 0x0dfae348, 0x44bc1a0d, 0xeada21a8, 0xf620b05a,
+    0x7b9db139, 0xae1cb111, 0x75d21d4d, 0x543a0de4, 0xb48ad477, 0x6842c10e, 0x8fe6a08b, 0x4c3f43ea,
+    0xc6d5bf65, 0x2681d9a1, 0x182402f9, 0xae52ab5e, 0x0906ec42, 0x6e587e18, 0xab26c9f0, 0x9a091276,
+    0x3f99a3c1, 0x47c11548, 0xd9dafc90, 0x48d2525b, 0x37a59058, 0xe26b8025, 0x979f9bb0, 0x75d96f5c,
+    0x9fca2148, 0xf03a9489, 0x7720d59b, 0x3ce79152, 0x248ffbf3, 0xd84bea3a, 0x8974a0cf, 0xa4632eeb,
+    0x39fd9331, 0xa8f0a9f8, 0xb506af7a, 0x7031ef87, 0xfb2b48cf, 0x2764f423, 0xf739fe6f, 0x37bd4f81,
+    0x2cc8973a, 0x399afde9, 0x66a6f627, 0x7a527c46, 0xb5bd2dea, 0xbe717c93, 0x55b12a42, 0x57256e19,
+    0x2dc0839a, 0x55159849, 0xf03dd6b9, 0x1d1c1c6e, 0xa796881c, 0x4a01ad35, 0xf75398d0, 0xde82f9b3,
+    0x5acf1193, 0xed049f9e, 0x466c7ff1, 0x1dfd682a, 0xf18c1e7f, 0x722575a0, 0x555e347d, 0x201ae1e0,
+    0xaa107a15, 0x01186f7d, 0x885d51e0, 0x16676d59, 0xa3227e96, 0xce96e8c2, 0x8e7ba665, 0x0ae588c6,
+    0x5db91ac1, 0xcf6920be, 0x035b6e66, 0xcc84d1fc, 0x5005cd69, 0x25ef926c, 0x147772c7, 0x3eaa5090,
+    0x8872b84a, 0x219138e7, 0x13cd4f6e, 0x3297705c, 0x7f85d7af, 0x248bc134, 0x0fea6157, 0x87a7da36,
+    0x15a956d9, 0xf46b7b6d, 0x364238ac, 0x04067bc4, 0x7389f449, 0xf09468cc, 0x123f6ae5, 0xf9575174,
+    0xf776163d, 0x7177c3bb, 0xe68ee473, 0xe2fb612d, 0xf42b75d5, 0x817f5755, 0xfd47c99a, 0x936399f6,
+    0xac4933a7, 0xae60b454, 0x3e2f5dcd, 0x434ef471, 0xe922ba39, 0x94edde12, 0x31935032, 0x4368bf29,
+    0x30042d88, 0xf47b8c3e, 0xcd95e51a, 0x891ab7d3, 0xe0bb3c92, 0xf0d5c6fc, 0x4bb54979, 0xbd6052ba,
+    0x7471bf62, 0x60941fd1, 0x6725ab88, 0x35e91224, 0x3e4852db, 0x138eca5d, 0x9dde3a09, 0xd3505858,
+    0x281650b4, 0x63ec6e35, 0xb2131fdc, 0xc273b303, 0x35562f83, 0x0966586f, 0x299c3e9e, 0x9676d975,
+    0x15b038b1, 0x250ff266, 0x8b600b99, 0x8a973fb9, 0x0c4eb2cc, 0x896e74c9, 0x9c3175b4, 0x0b02437a,
+    0xafbca885, 0xa748336a, 0xa430af5b, 0xb55a6037, 0x62c2a858, 0x0444c0d9, 0x5ecf0540, 0x7acaafdb,
+    0x86e96474, 0x446d69b2, 0x07d57364, 0x3eaaf8a0, 0x896f654a, 0x9155b6ef, 0xa29890e5, 0x15edf147,
+    0x81b468bd, 0x63c3df35, 0x0120b936, 0x7523d84d, 0x307b2417, 0xf56832a1, 0xd91f91f2, 0x7da698b8,
+    0xf84e9854, 0xceac39df, 0x0e71a9b0, 0xb9d8e175, 0x01ac06f2, 0x647e9eff, 0xc33eacbc, 0xa248c30b,
+    0xb5075372, 0x53bf8723, 0xe43e636f, 0xb59f5ba2, 0xaaad8f65, 0x236ad52b, 0x77bd9423, 0x46b1b560,
+    0x0a35cea7, 0x48c9a633, 0x74d3a48a, 0xf6f2ddec, 0x9654fec4, 0x11eb342d, 0xc993ca5d, 0x92f13545,
+    0x121c14df, 0x9bd10c32, 0x90e20166, 0xf7e8b06e, 0x1d2243f6, 0x2ffbf912, 0xe7847126, 0xe3f804ef,
+    0x18731524, 0xaec4a783, 0x468014db, 0xd4abe801, 0x44cbd377, 0xcdd1c865, 0x8d7bb16e, 0x4cc5230d,
+    0x7bfe010e, 0xf60822a9, 0x6d576024, 0x84e87ab4, 0xfa3e8c10, 0x9db0a162, 0x3fd6ff52, 0x05df74f7,
+    0x04926574, 0xfe43d199, 0x24723164, 0x2d623cf5, 0x8010a0ec, 0xb200be58, 0x30e47d07, 0x93d812c7,
+    0xd2228bbf, 0x6d85ad7a, 0x1f28cdda, 0x142ba73b, 0xed4d8d1e, 0x4d24d9e2, 0x0a344f8a, 0xf9d0420e,
+    0x18dedbf8, 0xaf48d960, 0x1f65e1fa, 0x6340d090, 0x441c0690, 0x1e137d7a, 0x3868eff7, 0xdd0f9b81,
+    0x8be88185, 0x57b8d13a, 0xeb5b8b57, 0xe7604ce4, 0x80d9d0a4, 0x0d5010e3, 0x9c3646d7, 0x0db7af12,
+    0xa6af6907, 0x3ccaeb08, 0xa32469a5, 0x0d394b2e, 0x2c33dc99, 0x9bc42851, 0x0cfd61ce, 0x18a2f405,
+    0x1d0370c4, 0x95d702f7, 0xbc037877, 0x86ebc6ca, 0x6cd21b89, 0x27bbc3c4, 0x87e39e70, 0x92d570d3,
+    0x1f3b8b76, 0x1df7e373, 0x4126d15b, 0xcf32575c, 0x43f299b1, 0x279ae012, 0x3452bcf8, 0x190b89b8,
+    0xb81f36e9, 0x206ecf98, 0x5f164bb1, 0x46065007, 0xdea7260a, 0x422a8f52, 0xba08c2e6, 0x83e43c73,
+    0xca6808a0, 0xd342718b, 0xc5c202b5, 0x7d7edc03, 0x05136a0d, 0xd06d2186, 0x4f9e92f4, 0xc728742e,
+    0xfdd8013e, 0x5bed28ac, 0xb3fb15f8, 0x940750b1, 0x1f2151b4, 0xc8f14e94, 0xaf76ce1d, 0xb3395ede,
+    0x8dde31c4, 0x741d9a66, 0x0a3432b3, 0xd51ee81b, 0x4830df5b, 0x5a61dfb2, 0xf3f1c123, 0x08366652,
+    0x3ed28372, 0x719ce680, 0x0f507091, 0x905090c1, 0xe4cb95d5, 0x5a81a7bd, 0x878215ff, 0xd9cf059f,
+    0x0780919b, 0x70a5c91e, 0x1cd7c0ca, 0x69e35c67, 0x947fc8c6, 0x32499931, 0xdd136bc5, 0x719d5a43,
+    0x31457a24, 0x1c2917df, 0x2623ed65, 0x617d9344, 0xe51dcb55, 0x66273f36, 0x6a376fab, 0xed766fd3,
+    0x1491b0b0, 0xa65ed0ac, 0xe358e42f, 0x9188557d, 0xeae8f3aa, 0x0a85e01f, 0xc52a7d1b, 0xfb83b687,
+    0x3d9100ed, 0xf55b6774, 0xb0fec29a, 0xf517aa12, 0xf7356276, 0x9647d17a, 0x347a165d, 0x141b2a27,
+    0xbed3b570, 0x0257e929, 0x3097e7a9, 0x8909bd3a, 0xa59001e2, 0xfbba3475, 0x62833065, 0x2a77f63f,
+    0x6f4909b5, 0x8a9b4ef8, 0xd7672f36, 0x9764d3f1, 0x6f0c044c, 0x72fdc5a2, 0xb151dc81, 0x714b83be,
+    0x49dda7ec, 0xf230bf1a, 0x059712f1, 0xdd8c9422, 0xaa24f886, 0x274aaa70, 0x25fe7175, 0x1db19305,
+    0x54208599, 0x8860d91f, 0x64327de8, 0x158bc1dd, 0xc1922ff7, 0xc0bd5486, 0x65215984, 0x5f7eec65,
+    0xaf8eb160, 0xe8935200, 0xd6727bf7, 0xdb2af0e1, 0xe16fae4c, 0x71c76a8f, 0xcc6144e3, 0x94e491df,
+    0xd634a30b, 0x38349fce, 0x582867cf, 0x4f5ee8fb, 0x2007b199, 0xe1aac235, 0x8e149b6d, 0x45df0882,
+    0x6c5e2be6, 0x9ad2d6a2, 0xba6243fb, 0xc8d904cb, 0x4d4d388b, 0x2a6e5a62, 0xd23cb160, 0xa1f31b20,
+    0x66f258f9, 0x917b6a01, 0x631dee7b, 0x6bf24f3e, 0xa577e466, 0x526cbf4a, 0xd68f4a65, 0xd3888c9f,
+    0xedadb7f2, 0xccdc55d9, 0xd6cde306, 0xd2a1821a, 0x6c324ef2, 0xbc0c34b5, 0xfc0eab94, 0x7c7fa227,
+    0x3a8a0e7c, 0xe55ed327, 0x6f5248c3, 0xf0125790, 0x0d574053, 0x4f2aae48, 0xbd494a66, 0x2c414587,
+    0x03034ead, 0xd9ef86ea, 0xabc970f6, 0xe4d2bdee, 0x8abe012e, 0x328268fe, 0xc4cac5c3, 0xd9adf7e3,
+    0x46dda6e1, 0xaea6480d, 0xe7485b99, 0x93119c91, 0x59abb156, 0x48c2f1d7, 0xcba20919, 0xefd5a975,
+    0xce9a9876, 0x75119a66, 0xbc5a579c, 0xeb948a7d, 0x735dabb5, 0xa583ca54, 0xc30a575a, 0xd9a7d387,
+    0x856dba9c, 0x373eaef3, 0xc69414de, 0xc1a990bb, 0x30ca21e9, 0x4a20ab15, 0x64ce1f82, 0x455279a2,
+    0xd8ed4d43, 0xca28f1a3, 0x349f03f6, 0x3d244e67, 0x1d6d2931, 0xd34168b3, 0x6c500107, 0xecb4194b,
+    0x8036c68f, 0xab42b18f, 0x34e55cc1, 0x8670d3f4, 0x2327ea46, 0xc1e256d6, 0x7ce0555e, 0xc5668402,
+    0xeda80741, 0x509c5fd6, 0xf89fc8f3, 0x13eeac98, 0x414db4a5, 0x3165a758, 0x61a20dd3, 0xb85a2917,
+    0x9d727f3f, 0x3c411be7, 0x8d02bb08, 0xcd1951ab, 0xd9cd3716, 0x751f1b17, 0xb34beb4b, 0x6287a4b1,
+    0x4080081d, 0x6ee219e4, 0x67daf85f, 0xea55a779, 0xf7ea625f, 0xbc16b5b2, 0xadd7e262, 0xa9bca75d,
+    0x930d6172, 0xd8e3c7da, 0xeba5317c, 0x500d5a7e, 0x1d544ac7, 0x88dcfe53, 0xb971c777, 0xf8a02806,
+    0x00000000,
+    0xd794236e, 0x38a5e853, 0x83b682a9, 0xc455c18b, 0xf335e042, 0xfa30f4c5, 0xdc92a6fe, 0x9098a562,
+    0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000846151640051518206658451594281946930980357994194\
+                          27996068435045795123941278247852265624218936283556460491675139202989862944768 */
+  { 0x00000000,
+    0x619745d1, 0x73bf117f, 0x5f982583, 0xba9bcee1, 0x00f0146e, 0x130093de, 0x1869dc6b, 0xf27ee042,
+    0xeeeba620, 0x457cfdd6, 0xea3933d1, 0x677c890d, 0x4943d074, 0xed3c0166, 0x8a0dd6ab, 0xe0b59d99,
+    0x17dea9e7, 0xd4f0565e, 0x0cc7af73, 0x4c07018e, 0xb1e23b1f, 0x225dc338, 0x963012d8, 0xae0b5996,
+    0x6b1da654, 0xc4f6d320, 0xefe597d6, 0x45e7dc25, 0x317e0840, 0x4241631a, 0x5135ab38, 0x00b8bfb9,
+    0x665b03ed, 0x21118700, 0xd6527593, 0x25949655, 0x940ba0d4, 0xb1f00795, 0xddae1bc2, 0xd0573f67,
+    0xa94e2a8f, 0xc8e321ed, 0x0fe552cf, 0x539c5b9a, 0x69154bdb, 0x673b920e, 0x9e8277f4, 0x7462b644,
+    0x9d4a8b47, 0xe2623811, 0x93c25669, 0xaabea0ee, 0xfd3b7a40, 0x96ae16e2, 0x6a1c027f, 0x4453fa9f,
+    0xfb864734, 0x46e409cb, 0x51c6ff28, 0x30dbbb3f, 0x2ea4c3b6, 0xe67f37fe, 0x00c47661, 0x33e76186,
+    0xdd2233eb, 0xf395d1ae, 0x344f0670, 0x7f516bb8, 0x4859b5cb, 0x06294715, 0x44129de1, 0xe6b3e1ae,
+    0xe812f02b, 0x99bbd03a, 0xf4682c28, 0x1c60a00e, 0xb41b16c7, 0xa81e4ba3, 0x1ae50bd6, 0x70fd5665,
+    0xec43772d, 0x7b6eb2a4, 0x5f883e59, 0xfced8223, 0x427d9df8, 0x0746c081, 0x8e1ac4a7, 0x27542bde,
+    0x9394b500, 0xee4d0ac7, 0x87af36b8, 0xe4459906, 0xdd6df5bd, 0xd3cd13a3, 0x75f3b48e, 0xa84ff76d,
+    0x3fb47af2, 0xf2be1e25, 0xa9993a47, 0xa39da83a, 0x34e929c1, 0x30184e55, 0x8b39883d, 0x23a2874f,
+    0x4fe7c76c, 0x9a05e600, 0x50d7dc57, 0x55eb47de, 0x08c2db92, 0xb4acf74c, 0x63caf650, 0x5adde3db,
+    0x451d63df, 0x0e4de22d, 0xda691857, 0x6d4ba25d, 0x0cc70b58, 0x1d684036, 0x0634d20c, 0xe2868863,
+    0x4cbf5589, 0x60ed3b6d, 0x7a984ce7, 0x7d796a47, 0x611ba164, 0x4c427a6d, 0x7519de88, 0x9d96e627,
+    0xb31e35ba, 0xf1e0ec93, 0x7e28884f, 0x5be8a706, 0x25fc4657, 0x270511bd, 0x023d625e, 0x523f38a1,
+    0x1ff2b7c5, 0xe05ed9d2, 0x1b91a64b, 0xe8b8d7a6, 0x77b01d6d, 0x9ca5046c, 0x9564b303, 0x4a3632f4,
+    0x7bf03ff5, 0x9254f9f2, 0xf74ac2a9, 0x4f966376, 0xaf17b322, 0xd42c1239, 0x90088cda, 0x6bc67048,
+    0x46e4475b, 0x706fa84d, 0x37f01fa4, 0x6b82c233, 0x265f3b2f, 0xcf291ca5, 0x575ef40f, 0x1fd9a9e0,
+    0xa364f151, 0x33b6a2c3, 0xf684ccff, 0xf2af4f09, 0xb943f47f, 0x107fe1b4, 0x1b45b401, 0x9c7e68d4,
+    0xe2bfa1b0, 0xf0fd7987, 0xf1005bb6, 0x00d12eb3, 0x0c285461, 0x19f28436, 0xec5eaa2e, 0x7d4a000e,
+    0x24e5d1b1, 0xce136a81, 0x3ef3947c, 0x9a51ac0f, 0xfe939264, 0x3210d543, 0xab43597b, 0xb165ae5f,
+    0xa0148c82, 0x40d906b7, 0x004de046, 0x401004ba, 0xb8eac120, 0x97eb9689, 0x98dc8f3a, 0xa2695792,
+    0xeb29c428, 0xfeea81fa, 0xb46cb927, 0x0232c89e, 0x97e83351, 0x0e05c2db, 0x39f18c81, 0xd5f93d5d,
+    0x17c6b094, 0x7710da81, 0xc2367cd8, 0xc9abb0a2, 0xc1325cba, 0xb7a390c5, 0x964019bc, 0x7758eb88,
+    0x0c34a399, 0x1e1727fb, 0xe10c80dc, 0xf741c890, 0xd04834c1, 0x426f2c70, 0x1c7ed902, 0x29212a4d,
+    0xcfe0c304, 0xead4bca3, 0x71cc4aab, 0x2263d42d, 0x60a97d9e, 0xf298f958, 0x6cad0538, 0x1c50475d,
+    0xaa762449, 0x53076d7c, 0x4286e084, 0x90555fb8, 0xce0fb7d6, 0xf7eef0e9, 0x286ae5df, 0xed91ed05,
+    0x52c0d6e6, 0xdf00f260, 0x7adfce98, 0x0714ec7b, 0xf9b5740d, 0x028ce6b1, 0x6ad6cc68, 0xb671d5ce,
+    0x25b11237, 0xc79d2acf, 0x1b7121cd, 0xe1b35557, 0x6bd6d181, 0x2a5c6930, 0x4af0ebec, 0x05d166d4,
+    0xf4ea5859, 0x1a275b61, 0xbb82ea37, 0x5340d9b7, 0xdd65b65d, 0xc5e35b99, 0x6a1e1026, 0x394c2d0f,
+    0x43114c81, 0x5aa12416, 0x872cdcc3, 0xbe7fafc9, 0x44fce852, 0x18fc4692, 0xd1c945c8, 0x86b45c6f,
+    0xdc77fc77, 0x713247fe, 0xf9409bb2, 0xa726cc90, 0x59d62095, 0x35a402db, 0xfca3dccf, 0xb24f02ab,
+    0x05942c87, 0x6cb990eb, 0x8ed54c0e, 0x5878f223, 0x38ce2d25, 0x6a42c14b, 0xe5df7ed1, 0x60803998,
+    0x00ec670b, 0x5f1c28b5, 0xba994ba6, 0x29deaef2, 0x1d8713fe, 0x01f0e330, 0x7951b583, 0x68edecd4,
+    0xb607b4cb, 0x9eb2bb36, 0xc5168fb5, 0xc407e5ae, 0xcdcb5893, 0xc8823db8, 0x4b447369, 0x4e7216db,
+    0x006c6cc5, 0x53499022, 0x89431f80, 0x739af7d5, 0x32aa2844, 0x4aceb876, 0x9c15f9e1, 0x032f8a66,
+    0x2ecb28ab, 0xa62d95e1, 0x4d4c8a80, 0x747e24eb, 0x1b6c6be2, 0xa8b0c3a5, 0x7ca9ca1f, 0xfce677d8,
+    0xc50b6259, 0xda707c88, 0x63db5111, 0xb9cd50b3, 0xd92fbbb5, 0x8bd8fda8, 0x73957e6b, 0x8a789b38,
+    0x4fa39abc, 0x33c61d16, 0x4567acdb, 0xb82ea57c, 0xcd297591, 0x119bb1f5, 0x36b70c34, 0x095c49ab,
+    0xb0c03236, 0xf5c44c46, 0x29f911ce, 0x04695318, 0x5eed1a13, 0xb69ac240, 0x47d1280d, 0x6d6a668b,
+    0xa80c82d5, 0xff439ab8, 0xb52ee52d, 0x0f9961d5, 0x6839e915, 0x73f11e65, 0x072b6bcb, 0x65e2f4dd,
+    0x7f87738d, 0x021dc011, 0x5a2cd0e0, 0x8f8149b0, 0x608f24cd, 0xe708892a, 0x9ae75dd2, 0x86ca7183,
+    0x753067d4, 0xaac5b7ca, 0x04abed3a, 0x1278a983, 0x57a4b502, 0x33af46cf, 0x62173877, 0x130b134f,
+    0xb537961e, 0x2ac005da, 0x5395cc27, 0xad70c7fb, 0xaba19252, 0xc171947d, 0x075d42c8, 0xf45cc4bd,
+    0xbc56733f, 0x2bf60769, 0xf321e042, 0x02086576, 0x4e7431e3, 0x2ba78b22, 0x27799d10, 0x51373bff,
+    0x3aa40718, 0x9f06045e, 0x67e08d14, 0x7162839e, 0xd078538f, 0x5a3adb44, 0x7ee9b731, 0xcfb3f238,
+    0x0f1c7ad5, 0xa0a6b8fc, 0xfc6f609a, 0x76ca584f, 0xc0683a01, 0x2c279b02, 0x0d72a82a, 0x30880431,
+    0xb6d4d0c2, 0x9153c30a, 0x9cd80372, 0x47213f40, 0xdf6787a8, 0x7930e350, 0xe643d311, 0xb5c026db,
+    0x267fdac2, 0x2269abd0, 0x893b0c1a, 0x4d588a9e, 0x334c3a88, 0x50aa042f, 0x0c381117, 0x9dbaa276,
+    0x2a29de96, 0x71a0276e, 0xe6ad3650, 0xe491f483, 0xe1eda374, 0xe868c229, 0xdd976b2e, 0x17641b03,
+    0x4b9c1c6b, 0x7e684fdd, 0xc9f27e2e, 0x2f308d76, 0x8a3c1103, 0xdf9bc257, 0x633012c4, 0x61327682,
+    0x9d0d3478, 0x07aa5fef, 0xca804dfa, 0x9f854f5f, 0xbf313d4a, 0x5215bfee, 0xf40318c5, 0x0faa0979,
+    0x4873cc01, 0x45b7803d, 0x3ffbf040, 0x71e13d62, 0x57927931, 0x0b94a2d1, 0x90da59bf, 0x3104aa17,
+    0x43002e6d, 0x0ed09eb5, 0x792623ae, 0xe3ccc053, 0x53c370b6, 0x03ab933c, 0x4bb2787f, 0x65ea99a2,
+    0x8c066943, 0x818a084d, 0x661cc6ae, 0x1c043696, 0xe65a9da0, 0x025fb3b5, 0x122d1910, 0x59221c02,
+    0x05dbae55, 0xf6202639, 0x1886c688, 0xa01a6e18, 0xee7ec8a3, 0xcdb82853, 0x34bfb3cd, 0xd92cd766,
+    0xc8443d40, 0x8cea005e, 0x07de0675, 0x4dc541c2, 0x72629aee, 0x51adfa81, 0x5e42f18c, 0x4c9b278e,
+    0xd3922938, 0xf09cc775, 0x3cbec2e6, 0xa54fd14f, 0x050f2fee, 0x33d988a7, 0x7b7d37f3, 0xca0421b7,
+    0x09bd9cd3, 0xe99ceec4, 0x0b02e16d, 0x0ab0b710, 0xc2aa13c8, 0xbc244c59, 0xa56b58e0, 0x6df09ea6,
+    0xdaea24da, 0x2622859f, 0x6195a1de, 0x396d1434, 0xdd30931c, 0x27f52f9b, 0x9271aa61, 0x2d4129de,
+    0x0bcb2d8d, 0x959d1121, 0xe79f2f37, 0xeee4020d, 0x145c8d0b, 0x3740cb17, 0x83a99fb2, 0xcdf73d3a,
+    0x73171907, 0x836364e3, 0xb2d9c4aa, 0xc7823729, 0xa363e094, 0x9a174ec4, 0x59b84b23, 0x53576489,
+    0xf3af4a6b, 0x8867a080, 0x8646b358, 0xda06162e, 0x55f4fac9, 0x503e5c86, 0x59f07876, 0xe39e3cd0,
+    0x8e789ad9, 0x2f78426c, 0xcc949259, 0xdbb45382, 0xe0ede665, 0x333bdc32, 0x3f9648c2, 0xd06ccb40,
+    0xccb23351, 0xd1493834, 0xa8f3df95, 0xa986b634, 0xa9dd62ec, 0x04abcf1b, 0xa0bc0662, 0x9192ff4c,
+    0xbcf7f717, 0x3e8d83bf, 0xee406d76, 0xe2331374, 0x01961f30, 0xf132e0b4, 0x12ca3134, 0x5ae55123,
+    0x6dc256dd, 0xbb24a253, 0x2a8f745f, 0xc3435643, 0xbaf83b09, 0x5be1361b, 0x89150e49, 0xcbcc7db0,
+    0xaf786ba7, 0x6831aeb6, 0xd3aaa3e8, 0xbbc722cc, 0x844555e3, 0x2c4a6e8b, 0xa74740ce, 0x43a04bd4,
+    0xca017a2c, 0x9a6018f4, 0x2e87f89c, 0x023b322b, 0x4a417a47, 0x40748a03, 0x8c0e9f41, 0x2974ad4d,
+    0xaf488092, 0x7ac5ae49, 0x4957d63f, 0xee9ceaa9, 0xcd25c4bc, 0xb45996f2, 0x6b245d50, 0xbbcfb859,
+    0xe7d5eb20, 0xec494f7d, 0x3e4a794b, 0x33819bf1, 0x25b0c03c, 0xf63cba02, 0x6cb12e2b, 0x68c5d9a9,
+    0x2c3ccd8f, 0x1aa92b3b, 0xc3e8ee97, 0x93a19ada, 0xc92ff49b, 0x820ca1c6, 0xbf4e6265, 0x1af14af0,
+    0xbc5491fa, 0x0fe51015, 0xfdd83455, 0x7415c9e1, 0x0c983b7c, 0xc507cf99, 0x1296defb, 0x05f6e2a7,
+    0xba6a2a3c, 0xbc41c2dd, 0x0f613f00, 0x4ca2070d, 0x0ff4a63f, 0x06de5b51, 0x8cec1241, 0xa22f9842,
+    0x178eb396, 0x7a3dd78b, 0x57b73000, 0x7f32c221, 0x40c54b73, 0x9ba31239, 0x17c19cbd, 0xb92153ef,
+    0xf1bf2d12, 0x2ae18984, 0x9202889f, 0x0d226221, 0x04a5283e, 0xe23104df, 0x778afcc7, 0xc592e5a9,
+    0x86c1d70a, 0xc3ef028a, 0x93318ddf, 0x7740b12e, 0x251876e5, 0x0398c6fa, 0x48953218, 0x74ad1068,
+    0x4c96fd58, 0x7989a79e, 0xf6bef413, 0x64396010, 0x37d867df, 0xa6e97b39, 0x8244c7c2, 0xb38e1d39,
+    0xd621372d, 0xfb74e57e, 0x6c262b02, 0xf17fb755, 0x239c50f2, 0xe579bc6a, 0xdeba5eb5, 0x5593a295,
+    0x17bbe57d, 0xd2cbcbd1, 0x2e981bc8, 0xfd8dc2e2, 0x47b186e8, 0xe25c55a5, 0x65e35d0b, 0xb9b7e418,
+    0x62f11cb6, 0x379d6e79, 0x99d75b8a, 0x3deea558, 0xb62e7e84, 0xc26cb009, 0xbdb2ace5, 0x2f914332,
+    0xeba49794, 0xfc203e84, 0x93b9a16d, 0xfb3c9b64, 0xe857979d, 0xf1cef971, 0x782fb9b5, 0x80477cc2,
+    0xf24c9afe, 0x97b27245, 0xeb7b2b72, 0xe926b2c7, 0x7abfab45, 0x7555225e, 0x1a59b371, 0x5b2560af,
+    0x0ad0ad70, 0x8c4bfac5, 0xe541301a, 0x893ac971, 0xa81f1342, 0x118d4369, 0xf8825d0b, 0x460c3f33,
+    0x34cdfb03, 0x9abaa3f8, 0x566a6be3, 0x086c3970, 0xa92aa3d4, 0x9f045feb, 0x07debd15, 0x5b8fb561,
+    0x8a889a34, 0x7d6442a2, 0x1995a1cd, 0xb6b63265, 0x90b45ab7, 0x4fd8ae88, 0xd9b99d7c, 0x69ceda14,
+    0x4af1d4d5, 0x5b0954ad, 0x497819f4, 0xc4647804, 0xb1d58367, 0x642cde10, 0x45efdd20, 0x05c2cde4,
+    0xa195e274, 0x8f89a889, 0x0747e8f4, 0xd09619bb, 0xaf87a20f, 0x39cac395, 0x85747256, 0x4d2cc6f8,
+    0xb0b88832, 0x2ff97513, 0x237a8a55, 0xc1f80fb8, 0x5d823119, 0x224877d0, 0x42f2f3ad, 0xe7353e05,
+    0xe6ea4055, 0x00f7ecb3, 0x1fe0a7cf, 0x2ac663da, 0x1e6bf69e, 0x96671a9d, 0xd50b8f27, 0x465f7b00,
+    0xb8fbdac3, 0x4c2d4152, 0xa177596f, 0x0c18dfd3, 0x9103f0cf, 0x177dd8ee, 0xd14e556c, 0x1adafefe,
+    0xac027aaa, 0x798d9a6b, 0xa7fba46a, 0xc5b8a737, 0x66a26904, 0xe426c130, 0x3a0c13d4, 0x1779e508,
+    0x371ae3ec, 0x3c0096e6, 0xb8d22f94, 0xe3b29948, 0x70536457, 0xc43d80bb, 0xf3706647, 0x5689f9e7,
+    0x5b6a27fe, 0x07d733a8, 0x9abf7d9b, 0xa2bf64b4, 0x27bbc242, 0x491e9679, 0xfad1f19f, 0x5fe8cce4,
+    0x35fbceb0, 0xd9659413, 0x571a3d42, 0x9a07dbf1, 0x7c7ac90f, 0xafbd1944, 0x063d0f43, 0x902b17fa,
+    0x14f3671d, 0xa1c738cc, 0x1e1b81cb, 0xa740b571, 0xd98d4411, 0xa93e7234, 0x271a6a39, 0xb011f75f,
+    0xde532c41, 0x0a7d7a6c, 0xbc2cfbe4, 0x1714e253, 0x8115fe48, 0xd7b75fde, 0x0081f93e, 0x9c25daf0,
+    0xc20e9f01, 0x8c6c8841, 0x181cc3a3, 0xf02a6a65, 0xc115e852, 0x5982bb4f, 0xcfcced67, 0x75cd7276,
+    0xf5a1529b, 0xcd2060e3, 0xf284e4dc, 0xaebef06f, 0x49cbf5ee, 0x17a42d27, 0xc9ba04c9, 0xe2812747,
+    0x7ccbcb88, 0x21b8e5a2, 0xa79f361f, 0x34a19e13, 0xb32fa0e5, 0x9c0b4116, 0x2e99640d, 0xe3247d4c,
+    0xe10674b3, 0x69caa433, 0x2936902c, 0xe05c9ca5, 0xb7b95e69, 0x8227dfe0, 0x024c4ee6, 0x3c8751dd,
+    0xe66f0bb2, 0x31be623e, 0x6e233fb9, 0x2c4a4ca2, 0x7d007ddc, 0x9be781db, 0x4b27a41c, 0x488eb418,
+    0x3bfc9371, 0x5c3aeaa7, 0x962c0c44, 0xdc36f373, 0x540e7ce3, 0xb63b84c9, 0x54e991d1, 0x982953a6,
+    0x0aab83b5, 0x8eac565a, 0xa308450d, 0x5efda481, 0x4c2bd318, 0x4d0b5d96, 0x6fc482b1, 0x40897684,
+    0x25276d7d, 0x13959dfd, 0x2e0768f8, 0xcf18f02b, 0x576a5a3e, 0x55e941a6, 0x7bc363be, 0xd085eac1,
+    0x79a410d7, 0xc5a0626e, 0x6baa4905, 0xb74e2aed, 0xec1b0b01, 0xf45b6844, 0x6fd9d2a6, 0x5ce9bc77,
+    0xe139ff04, 0xa611f998, 0x1d297e2e, 0xed2383f9, 0x3983db25, 0xf993079c, 0x39b2a93a, 0x00480dad,
+    0x159b39ad, 0xe3f477b8, 0x59bd6b04, 0x6e0e21eb, 0xcc560ff2, 0x247ce39b, 0x8b112960, 0x4f6c3c43,
+    0xcec4f9b1, 0x5b0e85c3, 0x1e586c36, 0x884ea1e1, 0x24e50e3c, 0x0d1d67c7, 0x19a56c0d, 0x04dc8974,
+    0x7ed5a4ab, 0xa9b52b73, 0x3b47ac3c, 0xd5fdfe6e, 0x67b65de3, 0x416613c6, 0x99ad227b, 0xe95156ee,
+    0xa7a79f79, 0x64638ce1, 0x89ec9afb, 0xd731f3d1, 0xf7f1d071, 0x59b93d63, 0xef974e58, 0x0eee59ed,
+    0xe9ec53f3, 0x53594969, 0x548f3fba, 0x5e05f83f, 0xaec9e019, 0x3d7b5a97, 0x66e381ec, 0x9929d076,
+    0x2c345a49, 0x803c398e, 0x637c6b2c, 0xf2b356f8, 0x0dabc07c, 0x668dcdc5, 0x0087ad91, 0xc5b40b37,
+    0xb0869c5e, 0xf88a82ec, 0x242a7000, 0xe4f6904e, 0x85db5716, 0x9e293e69, 0x86f3b493, 0xb335dc6a,
+    0xb2ed93bd, 0x41fe1065, 0xb110fec6, 0xdf69de4c, 0x70d5fd1c, 0x85eb5328, 0x1b35b9bd, 0x2f8116e9,
+    0xc79d440f, 0x703c73a6, 0x54d077ab, 0x9d96c722, 0x2d9816c6, 0x128f9b8a, 0xd6248c9c, 0xef00cb80,
+    0x1ce84ad1, 0x0db54b6c, 0x9f1ef11c, 0x11958587, 0x5fbd7690, 0xa31039a0, 0x71091777, 0x1c0964bb,
+    0xc3821cd7, 0x8350c7ae, 0x2658e894, 0x8d4ca813, 0x56a17d7c, 0x7c260c7c, 0xbe8b03fa, 0x6e954fe8,
+    0xc122dcdb, 0xda39d817, 0xfeceb653, 0xb244e754, 0x11c16925, 0x45159704, 0xc5521155, 0x69907839,
+    0x57ee45e2, 0x79dcc79a, 0xda7b2d59, 0xb3b22e5c, 0xb4db8b65, 0x03eca911, 0x3ce86e36, 0x6721ba38,
+    0xd4da72d2, 0x54f0fff3, 0x5f12c593, 0x3a223001, 0x9f50e78b, 0x4b95222e, 0xdb8fddf0, 0xd36dd66b,
+    0x9de93575, 0x18ad4ce9, 0x2650c942, 0xdeb4c86f, 0x2b73b3a4, 0x73d074cd, 0x5cebd437, 0xae4cd8cf,
+    0x546ed3ec, 0x5bb248f1, 0xb387a3d2, 0xca98563a, 0x04624a52, 0xb91c6320, 0xf22395a9, 0x2478572f,
+    0x703563b6, 0x6b064e4c, 0xdd7b5184, 0x14597b0a, 0xa8d3aec6, 0x009494a8, 0xc162883d, 0xfc492e46,
+    0x00000000,
+    0xebca11b6, 0x9c52f429, 0xc1db4154, 0x622ae0c5, 0xf99af021, 0x7d187a62, 0x6e49537f, 0xc84c52b1,
+    0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000423075820025759103329225797140973465490178997097\
+                          13998034217522897561970639123926132812109468141778230245837569601494931472384 */
+  { 0x00000000,
+    0x9e48c323, 0x8383687c, 0x1c238c67, 0xd5779a8f, 0x203c60fa, 0x7da733b9, 0x9f5f452d, 0x4a3cd7a8,
+    0xf5459bc4, 0xd23bc1e0, 0xe700b62d, 0xc69c8253, 0xcd10b5f4, 0x36aba696, 0x4289589f, 0xf3964384,
+    0x88d20242, 0xd3c56dc8, 0x9d4f7902, 0x41d3942b, 0x8ebb9ccd, 0xedb6a3a6, 0x2a3fa23f, 0xf8711dde,
+    0x10b65f8e, 0x10a15507, 0xa2c24554, 0xa3fddf16, 0x13554c11, 0xf0d11c93, 0x159fcc71, 0xf6ca814a,
+    0x61301d73, 0xc4d20b55, 0xad4a9bb7, 0x231e0d6b, 0xb3b13836, 0xb203b3c3, 0xce747742, 0x2861ca47,
+    0x282cc4da, 0xf7937cbc, 0x45eee211, 0x8c1476f7, 0xdf1f6525, 0xf51c284a, 0xd498ea4a, 0x36556a64,
+    0x67d8548d, 0x342941e2, 0x5269c361, 0xc784e537, 0xdff3e894, 0x4eceadb7, 0x13309958, 0x4e08f104,
+    0xe758eddb, 0x94309532, 0xc31cd4c7, 0x117b3811, 0x04ba4436, 0x07f7dba4, 0x2d3be584, 0xb27a36af,
+    0x6d33b182, 0xd8d77dfe, 0x005ca6f2, 0x4a64295c, 0xf461dcf4, 0xaff9d631, 0x162a383c, 0xa5feb7ea,
+    0x32a69041, 0x5e3c756a, 0x82294ed1, 0x0c3b9f6e, 0x8bf784a7, 0x0aaacd4b, 0xecfa5155, 0x7adedd6c,
+    0xf113f8e1, 0xbee7976f, 0xc860c7aa, 0xfd67cc2c, 0x32a2c537, 0x9598ad1f, 0x4e171f4e, 0xa75d4342,
+    0xfc9e53cd, 0xde62228e, 0x13aeaaee, 0x939136cd, 0x2cab754b, 0xf0522f85, 0x9dc55482, 0x395209eb,
+    0x8c1f449a, 0x97bc879d, 0x2a825cea, 0xf0ac8c09, 0x5494b1b9, 0xb13e6aa4, 0xd12f539a, 0x7e877439,
+    0x569f9206, 0x357692c0, 0x2167b30a, 0xf6421c5c, 0xc08ec44e, 0xa4cbd507, 0x934a8840, 0xf95c0d38,
+    0x06a8d7c4, 0x7e317569, 0x5cc45dd0, 0x3f7394c8, 0xc0cf6af1, 0x9a96d296, 0x5af57a0b, 0xd24ed421,
+    0xd6dfac7a, 0x24d5ec9f, 0x2fc7e35a, 0x311cd4e8, 0x60b0cd75, 0xc0f124fb, 0xc89a86d6, 0x7f877236,
+    0x520844f1, 0x9ee9b9f6, 0x398d7b27, 0xa736d8fa, 0xcf7eeedb, 0xc9692345, 0x7dd23235, 0x96a56e19,
+    0x02a74a13, 0x53a41861, 0xa0c8e3a6, 0xcc7c6de3, 0xd63e6ae1, 0x48d7ed35, 0xc6cca5a1, 0xfc0f8346,
+    0xdea15c9a, 0x423c4c5b, 0x720acccc, 0x75f92cad, 0xec52f88a, 0x7c587855, 0x6786568d, 0x5734c69e,
+    0x23276c5b, 0x4d285e47, 0x7446b4f8, 0x4f52e76c, 0x9b2d0e3a, 0x4b864401, 0xc5e3d312, 0x8049f718,
+    0xc32403ac, 0x8c788eb1, 0xe99da829, 0x0771ec96, 0x7b8101de, 0xef881462, 0x578a61c9, 0xa7ff101d,
+    0xafd88fd7, 0x6d69dcf5, 0xb86d4fea, 0x3a7f4577, 0xdc0964e9, 0x9f3c9bb8, 0x1168c6f7, 0x27d53589,
+    0xbb5ef512, 0x10449950, 0x43ff10ca, 0xcc33e58d, 0x5378e0cf, 0x78f7232b, 0x4a189ba3, 0xbb48b5d7,
+    0x66aff8b7, 0x6075efb1, 0x78154f31, 0x4c95eb3b, 0x2d74d9a8, 0xdcc737f1, 0x7c8f496d, 0xfa9fb03b,
+    0xe5b633b6, 0xc8dceebf, 0x4a79505b, 0x2bf2c6e4, 0x0ff94e82, 0x7cfa8ee7, 0x5b241820, 0x789649dc,
+    0x3a94a0f4, 0x463e3870, 0x87fa38a1, 0xc4b8d991, 0x16870f58, 0x12a88ea9, 0x4d7be3ec, 0xfea5a644,
+    0x32f56324, 0x64206628, 0xe36080ac, 0x3fa8dd80, 0x9ff83672, 0x76a55d54, 0x296efa20, 0x47a7e12c,
+    0x7594f096, 0xda2a6ab5, 0xb240d5be, 0x442bc78c, 0xf3198a86, 0xaa0d6cfa, 0x831d7052, 0xc18815c8,
+    0x7dc9b6b7, 0x5e43a5b5, 0x440a1a45, 0xb6ea6ceb, 0x2055e29c, 0x85e3bab6, 0xdd4da490, 0x3776b2a1,
+    0xf0d352ce, 0xb5820dff, 0x67a13957, 0xb55db052, 0xb07efa53, 0xfaf4023e, 0x1e599f88, 0xed323c67,
+    0xe2e7a605, 0x7f3b2159, 0xcfac0f9a, 0x8b694aa6, 0x1c200b52, 0x07947e4a, 0x19527525, 0x618a8061,
+    0x3c16482a, 0xdf4f8fc8, 0xc11f72bc, 0xc66c396d, 0xf21b5c9a, 0x03c7d40d, 0xfcd47436, 0x41289d83,
+    0xf0b15f0c, 0x0a2c3b0a, 0x9160f820, 0xecefbc3d, 0xe58f6028, 0x1e744296, 0xd7eeea13, 0x3829f156,
+    0x1926bb78, 0xa9103f41, 0x3954f7e2, 0x698fd752, 0x5c5280b1, 0xe05c7fa3, 0x3d822105, 0x632cbabc,
+    0xb490da8f, 0xef4dad36, 0xc2e18e66, 0x8fc55b0b, 0x837b1562, 0xd9ea4cc4, 0x7ad9c598, 0x403095d3,
+    0x99feb901, 0x9b18e49f, 0x1806862c, 0x878fa2b2, 0x38d9e87a, 0xfd782b37, 0x74538c46, 0xeed90872,
+    0xeb8c5e21, 0x7242314b, 0xf3c9d046, 0xefe62f24, 0x91b10ffa, 0x3b6ee06d, 0x72593e07, 0x624d3302,
+    0xbb485f6b, 0x5c73a811, 0x6d2928bf, 0x9800e7e7, 0x13ea39d2, 0xb08aeb84, 0x43a166fe, 0x7a52a731,
+    0x18b9cbf9, 0xb5f0b3d3, 0xc65d2f80, 0xad0c3248, 0x29b7b780, 0xd37bbad7, 0x3e4437e5, 0x8e044c5e,
+    0x2e8818b9, 0x6546218f, 0x26df6950, 0xb68c7700, 0xe8328720, 0x12317a9b, 0x963dd887, 0x79766c8a,
+    0x3f649c76, 0xda98ccce, 0x1fb2db30, 0x928bbfab, 0xdeceecab, 0x3baba07d, 0x7791eb13, 0xeda27bcd,
+    0xf1e56cfe, 0xf2a4115a, 0x77eed719, 0xef57cae8, 0x8a223430, 0xcc1607e3, 0x9fba7d48, 0x7bb6d371,
+    0xd811fee3, 0x1e9a66de, 0xc354743e, 0x88d0a152, 0xfb425b9f, 0xab7db643, 0x40c4f5ac, 0x516d830a,
+    0x46f1867a, 0xfaaac8b2, 0xc291b60e, 0x0f7f0e4a, 0xb2efbf3a, 0x8eb124c7, 0xd13cdc34, 0x0d4b73ce,
+    0x34c5adc8, 0x79e2193f, 0x6efa519f, 0x6ac5cbe5, 0xd3364a3e, 0xe4644616, 0x0a8c7f5c, 0xf8df7a4e,
+    0xe6ae7eaa, 0xde9e1237, 0xb9862822, 0x65c25345, 0x8cfcc76c, 0xdd5e6f78, 0x94085c35, 0x46a1ade7,
+    0x33f4700b, 0xe626ade7, 0xc0581a55, 0x470d5394, 0x140b3ef6, 0x585b9811, 0x53347847, 0x4bfd7b98,
+    0x589492b7, 0x26004cc3, 0xf70649a0, 0x44188b97, 0xf21873c3, 0xea357d83, 0xe3ffafcb, 0x83a6b36a,
+    0xbf69076e, 0xae3fe3cb, 0x5c176d19, 0x95cc0cd7, 0x37b4addf, 0xdc952787, 0x44b02c31, 0xc22e062c,
+    0x4826103f, 0x8bdaf202, 0x8a5de9d6, 0x599ee636, 0x69db134d, 0x60b362e6, 0x58c44663, 0x8823e44e,
+    0xd13a1bc2, 0xf47b960c, 0x8e0ed9a3, 0x7cb4808e, 0xb1885f06, 0x3eba8d75, 0xd10d1088, 0x004b4760,
+    0x7ddd2f16, 0x3d29f5e4, 0x9cbbea5c, 0xf74fb6e4, 0x3965529a, 0xfba923c7, 0xbe53d17f, 0x6e16c543,
+    0xbc8ee373, 0x375e4fa1, 0xa25a2540, 0x8d15aaef, 0x06de0e52, 0xc0558437, 0xb3bcbd51, 0x02bfa7be,
+    0xe44548c0, 0x91c13c1b, 0x0d327d07, 0x2a9f4188, 0xb9ba58e7, 0xe0bae08a, 0xcdd7fbf5, 0x886aabaa,
+    0x0c7a5c89, 0x097fe9d7, 0xb9540dcf, 0xc902fff0, 0xc6bfa0dd, 0x5f0d410e, 0x6e7b94ae, 0x6e300e01,
+    0x884694f5, 0x0a8af230, 0xd75b970d, 0x1c007405, 0x7a7e6ee1, 0x0d8a962f, 0x1c76960d, 0x74c0d097,
+    0x027b88b3, 0xf4b72d41, 0x2cf34074, 0xcfa80281, 0xf1f58c5a, 0xa62fa6bb, 0x8253a02f, 0xa6051e98,
+    0xdd58b752, 0xa9bde7f1, 0xfc22119e, 0x7d088fc6, 0x326b92da, 0x862b88e3, 0xe4ef6d37, 0xc305108a,
+    0xae66a78c, 0x6c69fae8, 0x65d2c55c, 0x800203f9, 0x2d3c4e59, 0x9ff39d4c, 0x6409fd5d, 0x6f009aa5,
+    0xff15fce6, 0x0cf0d65d, 0x1f7360f3, 0x88231d8f, 0xbe5fa41e, 0x079a0fed, 0x2b18ddd4, 0x1c51883e,
+    0xe78c3a9d, 0x0bd8a9a0, 0x70605c85, 0xb4d4ed67, 0x631a4be3, 0xf66adbfa, 0x32041300, 0xd63c8ccc,
+    0x77b16a27, 0xcfdf894c, 0xc58de42a, 0x9abe3118, 0x35488416, 0x5d069445, 0xf69c60da, 0xed08d3e3,
+    0x5ede1550, 0x602740fc, 0x04d83b6b, 0x90850a4e, 0xf56b0827, 0x5b726a1b, 0x27ee4696, 0x45ad4fa5,
+    0x40b1be2d, 0xdcad3a35, 0x31fe669b, 0xf9cdf6c3, 0x92e1899c, 0x8b4050d7, 0x705ce678, 0x8d3c5025,
+    0x6e292493, 0x1cacd34c, 0x2b16c87f, 0x3a9f9bda, 0xfee15c2b, 0x14c197cb, 0xb7bd540e, 0x0e4102b8,
+    0x6f7cb59c, 0x2cab06ba, 0x90f5e678, 0x0e2efbef, 0xaaefa0ac, 0x9683eac4, 0x7f0e5b80, 0xdf39c18f,
+    0xc4e4490e, 0xab9e0eb1, 0x06f1d479, 0xdeb2ce96, 0x3dbd49ca, 0x12414307, 0xf01f19ae, 0xd07d38be,
+    0xf4974620, 0x88bd0402, 0x736d213b, 0x450e0626, 0x728177e4, 0x8bcad98b, 0xf666086e, 0xef64d169,
+    0xca4dad12, 0xefcd0440, 0x0f85eda5, 0x44c4ab9d, 0x9e7610d9, 0xda42e087, 0x42bacdb4, 0xdb4e7e86,
+    0x4e7841a2, 0x4408b977, 0x632396f0, 0x88758ddb, 0xcd93a742, 0x266cb805, 0xc775471f, 0x5f087da5,
+    0x23f9f2b2, 0xebb2998c, 0x8be24307, 0xcff0fa20, 0x1269f7af, 0x156c1213, 0xf0acf464, 0x9165fe12,
+    0x7e950a6e, 0xf7f1d14f, 0x7067fa60, 0x4aff98c6, 0x2a50b52c, 0xcf6efa2b, 0x0d920e04, 0x7526c081,
+    0x27549dc9, 0xf951af40, 0xb6c8f2ce, 0x856e4949, 0xe724287e, 0xcc3d8dd3, 0x37682404, 0x37453bd5,
+    0x3c291e18, 0x2ad76114, 0xd58ff365, 0x0d3a81b5, 0x5c92360a, 0xc2ec16d0, 0x5f12b43f, 0xb10f981c,
+    0x4cf3f18a, 0xe91c6df9, 0x61a70e31, 0x0f99daeb, 0x55103046, 0xf6a22db8, 0x5e288d4b, 0xfdd06fa9,
+    0xb0f32320, 0x8b232939, 0x054fbf66, 0x6f1b7f39, 0x3e132766, 0xa1531a43, 0xd1764d81, 0x499a3817,
+    0xac3cec8d, 0x70dd6eb3, 0xf295349b, 0x6ce177a5, 0x7460a00b, 0xc5a2d9a8, 0xdbeb7acf, 0xfd062d85,
+    0x5e7dd084, 0x40ad8ce7, 0xcc52b851, 0x649c6a6d, 0x8810ecfc, 0x24c483d3, 0xda330a2a, 0xd55cac42,
+    0x72c5870b, 0x67b24f17, 0x7c3cc893, 0xbe41cdfe, 0x4e89ea38, 0x292804d4, 0x54983392, 0xac116c92,
+    0xfad74981, 0x14b2bcd4, 0x19fde227, 0x48c07427, 0x9684b044, 0x30db597e, 0xaf051cf4, 0x1f9d87d7,
+    0x133eb64e, 0x1abb973b, 0xe6938668, 0x294320bb, 0x128e9d01, 0x5b229899, 0x79917e87, 0xa0468a24,
+    0x356e780a, 0xe62c6acb, 0xddae9be5, 0xafeed971, 0x0ab5cbad, 0xdb2264f9, 0xfe28fad4, 0x85846446,
+    0x58439f69, 0xcab1b8d8, 0x4e8b6ddd, 0x673a3808, 0xfb855c8f, 0x0b2b4755, 0x6e6ecfb4, 0xe3dbe1f9,
+    0x73fad431, 0x13b64f31, 0x9f5f607b, 0x6a44f25e, 0xe3e4d8d6, 0x57e9711a, 0x97f1580a, 0xa87ed1b9,
+    0x03a9a3f7, 0xeb49d7fc, 0x2c9468bf, 0x47c70e23, 0xfb4edaad, 0x25eb00cd, 0x7c2ca2e8, 0x6e04475b,
+    0xc967a883, 0xeab6a87e, 0x0624b4d5, 0x39e59344, 0x8a88f048, 0x835f1dac, 0xa68e045d, 0x8ee8692c,
+    0x2855f6a3, 0xa16f2e3a, 0x9b13a016, 0xd166bad1, 0x17a65290, 0xb0141fb5, 0x15ba59b0, 0x8424ccbd,
+    0x0d4bccd0, 0x76041b95, 0x13c3ec98, 0x380397a6, 0xf1630704, 0x5bb90518, 0x713be48f, 0x81cc65d0,
+    0x7841a84c, 0xe0ffb5a2, 0xd099d74f, 0x61c8a8e7, 0xf9cd6d1f, 0xbdc415d4, 0xdee78e42, 0x4adea015,
+    0x2a83055e, 0x0f5e6063, 0xe52281ea, 0x89004f54, 0x95b9de48, 0x4a3ba6cc, 0x16fcacb2, 0xa34ca9ea,
+    0x8af3bc1a, 0x07d8fb58, 0x17095fdb, 0x07195c9d, 0x2516e2e1, 0xd4158c74, 0xad8c8a54, 0x2f20d3a1,
+    0x433923cf, 0x859c34a0, 0x772d7622, 0x235d7a59, 0xedf11948, 0xfaa5494e, 0xd89c52aa, 0xcf2d59f7,
+    0xff8983b9, 0x5182a813, 0x6bfa0721, 0xc4e0e938, 0x0e07271e, 0x5b734825, 0xb3779f0b, 0xb5bd443a,
+    0xc1cf5b18, 0x0486cce1, 0x04414e0b, 0xaa4f970c, 0xa8acbd0b, 0x00e38093, 0x10f83dc8, 0xa318340d,
+    0x662d2985, 0x14a3a2ac, 0xec5b1dc4, 0xc5bb2985, 0xd22a1818, 0x18abfb9b, 0x3f761d46, 0x5c490dfc,
+    0x8b7c56f5, 0x296a068f, 0xd5497229, 0x30ca676f, 0x9ba12a61, 0x59ddb6a6, 0x2b343d20, 0x618f98a3,
+    0x4a2a4110, 0x3ad44701, 0xe03207a3, 0xc57c3c55, 0xf29140e6, 0xd1072c94, 0xef3f9130, 0xd7fc84f5,
+    0x872b2142, 0x122163c2, 0x2965b180, 0x6e16e182, 0x0bb15cb6, 0x1609cc61, 0x64669b77, 0x647a283a,
+    0x94615484, 0x5e158898, 0x80fba4bc, 0x9c5fdb7c, 0xbb58699c, 0x449d79ad, 0x55d23e65, 0x45d635f9,
+    0x3f125d58, 0x402ef6b8, 0x47f93147, 0x9c30f46b, 0x43c45f21, 0x7df92bfb, 0x4c4c41c1, 0xdb010c9a,
+    0x22cacc67, 0x538fe2de, 0x14803433, 0x3693fcb1, 0x496779c6, 0xe5469d91, 0x7e294d8f, 0x56455d21,
+    0xefb2a519, 0xba1b0d06, 0x3b90104d, 0x37b0038d, 0x94f101ab, 0x2be05fda, 0x282e235a, 0x7444d89b,
+    0x9bc5eca1, 0x0aa5e7da, 0x17b921d8, 0x710020a0, 0xa2ae3517, 0x65572c74, 0xa1575fbb, 0x2654af92,
+    0x5d6bab61, 0xdb1ddb74, 0xb017f6b8, 0x0424274d, 0xb12951ca, 0xe5ab4242, 0x65b04da7, 0x29f52deb,
+    0x60ad3c8b, 0xd26dd0a7, 0xdd26d149, 0xbf0df63e, 0x51f5ac29, 0x2d9fcd5e, 0x8bb085ba, 0xece1b1ee,
+    0xf953864e, 0x35d83808, 0xd49520af, 0xeedaabdc, 0x8365f0a8, 0xbeae4e54, 0xbfc24b61, 0x196f8bb6,
+    0xe415428f, 0xd2dfdb57, 0x9bc795f2, 0xc56c9524, 0xdbe45f58, 0x556f3b21, 0x80cefe10, 0xb922571e,
+    0xa0d48911, 0x1c064dd2, 0x672a23d5, 0x0db0a05c, 0x01387785, 0x91326d5e, 0x5887816c, 0xf4bac5be,
+    0x2cde4026, 0x5af36bbb, 0xe7aa7d36, 0x2899b08e, 0x4ed31d8e, 0xc83ff480, 0x60b6ce4a, 0x0f26b990,
+    0xe5cd7323, 0x1b27b317, 0xce2b0a25, 0x7832c722, 0xb7586cef, 0xdd231199, 0x149eb838, 0x020ec279,
+    0x14d21a46, 0x04ae8f8a, 0x3377d2e9, 0x0e20a856, 0x334bee3f, 0xddd44ad6, 0x92f85120, 0x88368f22,
+    0x305849b7, 0xe8259cfc, 0x00106a29, 0x10757633, 0xf6c3828f, 0x003a6996, 0xb5448e4f, 0xcaf58d71,
+    0x002277b1, 0x90ab55e6, 0xb2af106f, 0x54747528, 0xaa3e648a, 0x4ac46932, 0x4322df59, 0x75f1d313,
+    0x396d4e2c, 0xd663753e, 0xf1eb98ca, 0x2c159997, 0xcf18a00b, 0xece3f286, 0xd226d603, 0xb6ef1e49,
+    0x0bfe234a, 0xbf93b694, 0x7715cd8c, 0xda525d26, 0x089b14bc, 0x0095acbb, 0xa15dc393, 0xe4a6d34b,
+    0xe7b2712f, 0x3fa7b006, 0x35c7b814, 0x31116e33, 0x606b46d6, 0x9718ebf1, 0x54c45ade, 0xe732dd96,
+    0x3d28b6e8, 0x19ca4369, 0x81b31fed, 0xde70a8b1, 0xd52b53ab, 0xd07abfbf, 0x9f429cc6, 0x222508fc,
+    0xa111972b, 0xf51f3a20, 0x313937bb, 0x7ebd3a48, 0x44b4406b, 0x8b25258f, 0xbd01d678, 0x7c904eed,
+    0x59f5aa12, 0xd9d4bcb0, 0x8b60febc, 0x05d8db78, 0xe5f4e15e, 0x5728e0fd, 0x3e8e9df6, 0x0db9a40e,
+    0xf4779f8d, 0x5d430c98, 0x1fedbbc0, 0xd1cea33f, 0xfe735f8d, 0x704185f0, 0x873008e3, 0xa7506077,
+    0xcb4e9c78, 0x74f67a52, 0x61026cb1, 0x690826c0, 0x1f87efa3, 0xe6d86a63, 0x76595624, 0xebcc00ec,
+    0xaa97e76f, 0xb8c65518, 0xdfbfab62, 0xdc1902d5, 0x0c2cd331, 0x72a73776, 0x82682ff6, 0x0f2aa79a,
+    0x54a25c8a, 0xeb618f7f, 0xa9600b87, 0x1c4e5594, 0x920e168b, 0x8d84bc79, 0x3937b5a0, 0x50448f06,
+    0x2bfab627, 0x0c52e40b, 0x42970722, 0x1eff8779, 0x4ce329af, 0xc37bf40f, 0x6bec49e1, 0x1c9f52f1,
+    0xc206c63b, 0xd4f5689a, 0x9afc3da4, 0x9d557b39, 0x77ac6700, 0x60b7b435, 0x788f0afb, 0x9768e3ca,
+    0x5d35a2de, 0xe8b4a047, 0x6cd245ac, 0x711c6e0e, 0xd14b34c1, 0x9aed1851, 0xf14ab38e, 0xfe22da78,
+    0x00000000,
+    0xf5e508da, 0x4e297a14, 0xe0eda0aa, 0xb1157062, 0x7ccd7810, 0xbe8c3d31, 0xb724a9bf, 0xe4262958,
+    0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000211537910012879551664612898570486732745089498548\
+                          56999017108761448780985319561963066406054734070889115122918784800747465736192 */
+  { 0x00000000,
+    0xd674409b, 0x088b766a, 0x7b8abcd9, 0x02278fdd, 0xcb336ac1, 0x6a9f7cc5, 0xedf0e8f4, 0x51389809,
+    0xda20d45f, 0x6ff65cbd, 0xe2449c15, 0x1ec87221, 0x2b07e144, 0xc2867492, 0x411f13e3, 0x9a81e8d0,
+    0xe9e96cf3, 0x7ebac343, 0x1290b6b6, 0x9c28116e, 0x13a90929, 0x609353f9, 0x59f6d0f8, 0xfe003aec,
+    0x46bcd9ba, 0x80aac2d1, 0xabcc25c5, 0xd01190bc, 0x59e51e29, 0xa9a35f5b, 0x9ba81ecb, 0x35ba15fb,
+    0x3091a692, 0x23445b19, 0xb0e15ebb, 0xc936588a, 0x086cf1f3, 0xae58f5b6, 0xa8e44937, 0x9f6a74bb,
+    0xe7024b8f, 0xca81af42, 0x5f0b8f39, 0xe47b12fc, 0x2f3f8203, 0x70fde41d, 0xeec8ad0a, 0x53ac7e94,
+    0x1cb62d55, 0x7153cf78, 0x50f98ab4, 0x9724f9ac, 0xb1d3ed33, 0xd16fba0f, 0x8b424e7f, 0x8e821997,
+    0x6d0efc55, 0xdde100f9, 0x25a033fc, 0xfabb976d, 0x8b8820a3, 0x63873912, 0x9815843b, 0xbe281be2,
+    0x7edfcedc, 0x41db9526, 0x1956a745, 0xb8cbcb89, 0xc1552026, 0xdcc3d214, 0x3c1e26ce, 0x4030e21a,
+    0x9169359f, 0x9bdb4530, 0x23f9f08f, 0x7e4ad7e0, 0xe46a2c61, 0x5fbe41ec, 0x250b83ab, 0xf5e7e63f,
+    0x32a1e2ab, 0x903d0f6e, 0xa50583ed, 0x3265118c, 0x67cb18d8, 0x0a159b86, 0x58fa86ed, 0xedc9d4b0,
+    0xbec08bc1, 0x62b9108a, 0x0c67ea9f, 0x5ac20563, 0xb31108a5, 0x1b53995d, 0x4764e65d, 0x5bdc3f16,
+    0xb61693d1, 0xe718596d, 0x380a58bb, 0x111ccf49, 0x49041219, 0x939289fa, 0x3c774815, 0x73281945,
+    0xf9f0f5f8, 0xb6d02e7f, 0x7989a356, 0xc0bae285, 0xd9b54156, 0x02e00fbf, 0x22b08422, 0xa525c40c,
+    0x2deb19dd, 0xe9ae332f, 0xfe0a16ab, 0xfadb27f4, 0x489f3f46, 0x4deb2969, 0xf427b334, 0x0d151b07,
+    0xc7706800, 0xf7daac75, 0x604dfb24, 0x70783236, 0xd957c1e6, 0x071fc91d, 0x232caf63, 0x92b2f24e,
+    0xce3a12d8, 0x2c9c0e1a, 0xd489f8a0, 0xbadb9b22, 0xb9304e99, 0x13b1198d, 0x7e2c3a03, 0x3c88394c,
+    0x28fdb2df, 0xeab5dcb1, 0x15b36a28, 0x485c1536, 0x7f48d7a9, 0x89f205bd, 0x59e3b890, 0x7cd6049c,
+    0x6f055baf, 0xa78c9024, 0xe8578ca2, 0xd2467665, 0x6a1f2db1, 0x4ac87f79, 0xc636c8ab, 0x2e1de6ee,
+    0xb3224f82, 0x45411cae, 0xffbdc39c, 0xa0a76bb2, 0x00209456, 0xdbdf342c, 0x1cdca315, 0xd18982b5,
+    0x85971d70, 0xc3c462cc, 0x6ccd9a5f, 0x3edc80e1, 0xbc43f307, 0x754cc1bd, 0xc65e181b, 0x6f3dcf32,
+    0xaf1a9bc2, 0xa37bf9d6, 0xfe2cb0a6, 0x03f2e295, 0x7ebaa3dc, 0x5dac88a6, 0x1edd3747, 0x46a5dd4c,
+    0xc836488a, 0x2f77e102, 0x7a47c5e3, 0x65474caa, 0x8b084c24, 0x2e9894bb, 0xcc0c09cf, 0xda45c5a4,
+    0xc7b34718, 0x6a658961, 0xf9b7d900, 0x7b9fb24d, 0xb850326b, 0x8087facb, 0x251eea11, 0x1d2fcbd7,
+    0x90c956f6, 0x4be1392d, 0xaddfa81a, 0xa5b5feb4, 0xaf1b5dfa, 0xd84fd2c0, 0x5a8e9ade, 0xff0c11e0,
+    0xd40cc21a, 0x0d5fea9d, 0x9ae4dcac, 0x6a32c85b, 0xe469e2b3, 0x92c75b1d, 0x84db63bf, 0x7e3a1476,
+    0x0697021d, 0x4bea290f, 0xa230d344, 0x0a464d8c, 0xe134919e, 0xdea12022, 0x303a01cd, 0xb64b5390,
+    0x06b2d33c, 0x7c4b3941, 0x7d94cc04, 0x84c35a85, 0xbe29ffcb, 0x01996924, 0x39428dec, 0xb7041c1d,
+    0x3af0b9ed, 0x5a54b3d7, 0x2719cb2b, 0x32b470c8, 0x8e1da868, 0x714d7bbb, 0x6f0610e8, 0x7becd4b1,
+    0xc6fff175, 0x7bba2528, 0xdd6e8e26, 0x235e36a5, 0xb63c157b, 0xa2392c45, 0x84ddbe8c, 0x93cf0c46,
+    0x01cc005b, 0x9fd7780f, 0x3f0d95da, 0x990eb838, 0xef961b67, 0x5122b307, 0x2f5b4ab4, 0x725ea8a9,
+    0x44c9722b, 0xfbb9bf5e, 0xac9d5b51, 0x10bb4b10, 0x528fbce0, 0x4d10ab47, 0x53981bb2, 0x5c3c86cb,
+    0x9308712a, 0x1599bd43, 0x749ec136, 0x48e074ca, 0x92b9a423, 0xb1c84023, 0x7e027c4d, 0x370ad777,
+    0xc52ab880, 0x82dbb8ee, 0x0cf15571, 0xa1cc6ee1, 0x44633b8e, 0x4212a037, 0xfc1dbd9e, 0x67beeb01,
+    0xf629bd3f, 0x61fc2a07, 0x99214d3c, 0x86f482d6, 0xbe073322, 0xe64ecf88, 0x902a3a69, 0x6f72a860,
+    0x7938b303, 0x5cf5a461, 0xf6d93a63, 0x7cfc1288, 0x4ae7d1a6, 0xcf93a20f, 0x6336dd86, 0x470ce72f,
+    0x28bf815c, 0xed57a085, 0x85708808, 0x0be0059e, 0x93c43956, 0x03bf7957, 0x0976f704, 0xa030d911,
+    0x545fb9ee, 0xcf40095d, 0x04cb52fe, 0x637688ee, 0x5d9f7681, 0x1ef315a4, 0x5e7b23a0, 0xfc7d4e83,
+    0x87d94687, 0x7df0154f, 0x9d19e561, 0x45a02250, 0x071c2668, 0x643524c1, 0xd9509ad8, 0xe32c1b3b,
+    0x1906f3b3, 0xfe541ceb, 0x5b3a831c, 0xa22d4f15, 0x489a47ab, 0x1908245f, 0x82f7bf45, 0xb6ba95c2,
+    0x25ae200a, 0xb4a78450, 0x00f648af, 0x1ad0d44a, 0x23ceaf3b, 0x0f6abffe, 0x40e68f38, 0x372be78b,
+    0x0533c271, 0x98c0d7cc, 0x8c0119e3, 0x1bfdb3ac, 0x0988cbda, 0x92d5ecba, 0xc8006c5b, 0x2b8e2b17,
+    0x8c4d6e2a, 0x136f527b, 0xe610e632, 0xcd25a585, 0x96114992, 0x6bb0dace, 0x460a68ca, 0xd03db249,
+    0xc83ea851, 0x867418a5, 0x16023e95, 0x1dd32906, 0xf86232b0, 0xd17369ce, 0xa7d2a0b7, 0xaaeb6616,
+    0x9d144802, 0x5eff5adc, 0x22e23004, 0x77a62e9e, 0x0445a0d4, 0x4c67277f, 0xa1588ab0, 0x357252ec,
+    0xa8439a61, 0xdb68f71e, 0x181d9293, 0x579d5509, 0x15ffee2b, 0xa2f11bbb, 0x4610bc55, 0x468fce33,
+    0xf8c9b197, 0x46571b02, 0xdebbcff4, 0x02ad4590, 0x9942e271, 0xe2cb95f7, 0x73a377fd, 0x3f6e31e3,
+    0x087e34f5, 0xb588c6f8, 0x25ff4b7a, 0xb3649340, 0x2e9ab270, 0xb38dda16, 0x65bd20ec, 0xe6df974c,
+    0x850333da, 0xeb40dbc2, 0xde94d42c, 0x485c4003, 0x6063d9cc, 0x9e28012d, 0xb7cf211e, 0xe63f7669,
+    0xcbcc092e, 0x9e8ec269, 0xd0c68dbc, 0x3895a0f2, 0x57ab96a6, 0xc5bcc1d2, 0xa62e8d1e, 0x2ced81e6,
+    0xce635ae5, 0x071ed4de, 0xa2b881e7, 0x3c1a8f97, 0x86ce5d52, 0xf9add99e, 0x8a4df9a6, 0xdcc4a2ad,
+    0x9ac383a6, 0xc6f6ff21, 0x677d746a, 0x53cfbd90, 0x96afeacd, 0xc8b5eb88, 0xdafa6e58, 0x304b3d24,
+    0xf90c894e, 0xda1090e0, 0x9a45699e, 0x4e82b21c, 0x73a30b17, 0xd9625609, 0x34a6e27e, 0x1b1aad9e,
+    0xcf63e4d1, 0xe9a30fb1, 0xd5c86df7, 0x467afdaf, 0x849d90a9, 0xccf053d2, 0x83fcb61b, 0xdce05322,
+    0x1e354252, 0xe1bcb7f6, 0xf9f82ec4, 0x182906f8, 0xe7eb8503, 0xfdc83b13, 0x940edd77, 0x32b29d76,
+    0xc3a09852, 0x5f057d17, 0x0af1c4f2, 0xa80bccb7, 0xbb379f4c, 0xf596e291, 0x62aaf18e, 0xf0d1452a,
+    0x56dbb452, 0xa8590394, 0xcac0d29f, 0x08ee5776, 0xf2adf410, 0x149a7641, 0xed2bfb6a, 0xa14ace2a,
+    0x71db0fdb, 0xc6359e33, 0x153c2085, 0x337fd91e, 0xaf6a8409, 0x22b16832, 0x9b0f899b, 0x84d48ce9,
+    0xf4501fee, 0xeaf4f647, 0x9a6ff453, 0x0cf53db4, 0x8b31e065, 0x8116d6ae, 0x0de50062, 0xb09b7299,
+    0xf08a298f, 0xeb1ee281, 0x7f0e1a73, 0x5829448d, 0x4168d0b2, 0x477f95c2, 0x9f4f44d0, 0x579b2636,
+    0x2e221cf5, 0xa39a2a67, 0x7c97e628, 0xe13152bc, 0xf1bf3acd, 0xaa291d38, 0xf601e514, 0x9550b0fc,
+    0x247f4c31, 0x75fa277e, 0x69ef3509, 0x7b67afc2, 0x8a72135f, 0xaf3335a6, 0xba09e2f3, 0xb0af4c4f,
+    0x9b39b6ee, 0xdb00ecd3, 0x87067445, 0x41b6043f, 0x91e50f2a, 0x79f97466, 0xb6a13551, 0x986f4962,
+    0xc0621900, 0x97d809e8, 0x5a432464, 0xc299e510, 0xa563d12d, 0x25d29f81, 0x4a85f78d, 0xac2d3638,
+    0xc99c8805, 0xb67ea854, 0xbd7d24a6, 0x8fa02b6f, 0xc2c02385, 0x0bdc88a7, 0xc0783c1e, 0x6f3601bb,
+    0x5815bdf5, 0x69b672ab, 0xc6fcf8ef, 0xd316704d, 0x4afc16a9, 0x65af766f, 0x9d2c1017, 0x9b15366e,
+    0x9c6f3d64, 0xd5f59df9, 0x4fcaf5ae, 0x1c9d11e5, 0x0da273e5, 0x69e34cac, 0xb768e3a1, 0xf5ff2fbb,
+    0x9ec69ab9, 0x4bb47537, 0xb4a561fe, 0x1068183c, 0xc04b9a2e, 0xded8ac35, 0x43efcdac, 0xf435f56f,
+    0xcb278098, 0xd57c8081, 0xc9208979, 0xd72408d1, 0x7ce1078a, 0xc481e2b6, 0x7715c634, 0x1138c56a,
+    0x7817e78c, 0xc3c82970, 0x0cea0dd7, 0x68537029, 0x120dd373, 0xcbc21379, 0x7b2bbf7c, 0x5eee16f6,
+    0xd89c35c5, 0xfa7b5dec, 0xb34aff48, 0xc174f6fa, 0xb1781cb6, 0xf9ea4766, 0xf59dea16, 0x69100eb3,
+    0xe5661012, 0x44c734ab, 0x478b2668, 0xbe79fecb, 0x62ecfdb4, 0xa6a4c412, 0xfdd676f5, 0x1dacda4a,
+    0x01c0644f, 0x07217355, 0x3751e888, 0x04428375, 0xaa3faa1a, 0x09cb72c4, 0x633da706, 0xaa3f465e,
+    0x067d464e, 0x0746b6a5, 0x9b391b33, 0x2eac4bfc, 0x665b03b9, 0x997a1ccf, 0x0899cf4b, 0x07c9fe65,
+    0x3ce6f0d5, 0x5fbcfd9d, 0x8b8fa50d, 0x6acf68b9, 0x0ed0e7d5, 0x86c660b6, 0xf8914a77, 0x33b94f8d,
+    0xffa15a66, 0x39f24525, 0x96a836ec, 0x1a86d470, 0x676f5a1a, 0x2f384fa9, 0x86efec25, 0xb7924969,
+    0x1cf6afd4, 0xa5a38666, 0x9b1d0b70, 0x3f273a43, 0xab1a417d, 0x6ea1f48b, 0x51431f2b, 0xdb005cb7,
+    0xa90db6f2, 0x4e3e494c, 0xd9a99de2, 0x88de7896, 0xdbb4f5b6, 0x02ccdcb9, 0x20468b86, 0x9e983c49,
+    0x31a93d43, 0xd430c35d, 0x2c219a65, 0xf9c244c3, 0x8b1c1030, 0x589042ea, 0x3bc5c07c, 0xd45747c4,
+    0xa520a258, 0x659131b3, 0xcfd43f42, 0x37078fd2, 0x35827be0, 0x0f6d0b53, 0x92e1add0, 0xea9b17af,
+    0x081545c3, 0x6693a2b4, 0xe8afa5a8, 0x200ba951, 0xe3061822, 0x41dfa876, 0x831c6a52, 0x23d5bdf1,
+    0xde3dcf97, 0xed713162, 0xa0f92fb5, 0x999e0062, 0x20d65ad0, 0x56b875a3, 0x00cc471c, 0x614776e1,
+    0xdc4cb61d, 0xe14a0d16, 0xfe6dc187, 0x04aae197, 0x93c796d0, 0x1c73eb0d, 0xb4ee87e9, 0x0f2913ff,
+    0x9d5ace31, 0x08d491fb, 0xad5fdbd9, 0x746b7548, 0x1620e5e9, 0x9b87ef8b, 0xb7fb6cc7, 0x1e89552a,
+    0x79777cf9, 0xbf945de4, 0xb965c311, 0x61f83329, 0xf6e6fdfd, 0xf206455c, 0xfb97ea2c, 0x628bbb6c,
+    0xd7820097, 0x895ba318, 0x73e06344, 0x12b0db2d, 0xe90c2d26, 0x7af62e3b, 0xda7422d2, 0x996657b9,
+    0x6a84c368, 0x1c73ab33, 0x2cf032fb, 0xed571c70, 0xb679e185, 0x041952e5, 0x298efba5, 0xb352c3f4,
+    0x73d69a08, 0x11774158, 0x67a918a9, 0xf1f4ea92, 0x2676d0c3, 0x4de4f9a3, 0x66022122, 0x4530f9c6,
+    0xd67c3c6e, 0xae055b5a, 0xc704d1d6, 0x21cdafc4, 0x6b16c8ab, 0x95def178, 0x9e0e8b74, 0x1fdf1c42,
+    0x9d5f34ec, 0x2cf36963, 0x97beaf94, 0xaef4ff0d, 0x289a3efc, 0x1658a1fe, 0xe8cbf83c, 0x8da2064a,
+    0x2ffe9464, 0x25bf9d6a, 0x435c4ee8, 0x61c79098, 0xb6368c7f, 0xaee79954, 0xba2e73ca, 0x11492cdf,
+    0x6cd305bb, 0xbc300562, 0xf5befdda, 0x81f04e6a, 0xf4e08fd9, 0xe92ff223, 0x18fee147, 0x226592d2,
+    0xe549b321, 0x95859875, 0x77d266aa, 0xc47d8269, 0x234ed396, 0xad8a5d93, 0x9a389b0a, 0x16d41fed,
+    0x1bb590d3, 0x3e7a8953, 0x1d3af717, 0x39fec371, 0xab2c49d5, 0x882c9955, 0xfc9544cc, 0x388dbdfa,
+    0x50267bb5, 0x0626fdf2, 0x4502d6a6, 0x7792d079, 0x019a8278, 0x1ceee401, 0x1333c6ea, 0x2209c7b5,
+    0x3317e117, 0xe7b362c4, 0x07f22ef3, 0x09925d6a, 0xfaa797fe, 0x2a67402b, 0x67e238be, 0x670e3503,
+    0x38c5908d, 0xa36d52d5, 0x5e9cfdaa, 0xb2304c8f, 0x7630b830, 0x01698afd, 0xa5d462be, 0x2366b689,
+    0x5e726900, 0x0099d9bb, 0x2cf01fca, 0x0cb0565f, 0x634259a8, 0x1a609d98, 0x1c365d65, 0x6205a6bc,
+    0xf5c4f093, 0xf313785b, 0x800cecb0, 0xc50c461f, 0x275835a2, 0x8104349c, 0x16dec213, 0x3ca4adc3,
+    0x4c68cf36, 0x93c10141, 0x64decd13, 0x7eab4683, 0x5c152357, 0xd876121b, 0x7c8dd6e9, 0xe7f47251,
+    0x681a213b, 0x4e421cb6, 0x1d40ffa4, 0x2b9c088c, 0x0b58a232, 0x4bd57dd0, 0x7ca3431e, 0xce02d3d8,
+    0x54773f1c, 0xa81c7408, 0x705a5181, 0xec41adae, 0xee0ef61a, 0xe0fca99d, 0xa7df53cd, 0xc58cd051,
+    0x8b57c838, 0xd9cf024f, 0x29a8eb12, 0x621b2409, 0xe7b1be44, 0xdb2d04cb, 0x377a741c, 0xd63233c5,
+    0xcd9a599c, 0x1f9ee1e7, 0x4868d456, 0x4c0955e7, 0x0f07f187, 0xd38c6d5f, 0x8eaa2bec, 0x21e91499,
+    0x64d06b30, 0xe3ed95f5, 0x9539ab39, 0x3cb397df, 0xf7b595e9, 0x1f0144bb, 0xf7c7dd3e, 0x25b59821,
+    0xa51ed419, 0x873d836b, 0x894428d6, 0xb06f30ee, 0x20836315, 0x7fb7f426, 0x2b674b5a, 0x77c509d0,
+    0x75cafcd4, 0x4823bf34, 0x1316f2f7, 0xac2e1f4f, 0xe33c0a5d, 0xe4371ffe, 0x5f8c2496, 0xb300ffbd,
+    0x9a6c420f, 0x8eac9ef6, 0x2ff5511c, 0xcd74cc4e, 0xcec31b8f, 0xdbd831d7, 0xa880d1b4, 0xefdac156,
+    0xab418749, 0x1806b2ce, 0x70768635, 0xdaec8226, 0xb8654bca, 0x04bc59f6, 0x55f33c49, 0xe7b98b45,
+    0xaefa16cd, 0x6bd2369d, 0x18129bdd, 0x235de1c2, 0x7a18c478, 0x17602e17, 0x716afe91, 0x3825c506,
+    0xf471fb0c, 0xefd51d35, 0x8f632d7c, 0x063ebbb0, 0xa9c51951, 0x3b6ac5e3, 0x9bad6181, 0x2b971c98,
+    0xecc5e0f6, 0x5e2e1162, 0xf30d019d, 0xf4f197ff, 0x94eb0506, 0xb96c086b, 0xaa1abdb8, 0x1cbfdfa1,
+    0xe46e6467, 0x4017fd80, 0x14dcc73e, 0x7117081c, 0xfc0ed0cc, 0xe75577d6, 0x487543f2, 0x6e1548b3,
+    0x42a2fa3b, 0xaf164e55, 0x6cf48083, 0xcc516575, 0xef1eb889, 0xe9c986c7, 0xb88b410a, 0xabdfc69c,
+    0x4b01ae0d, 0xf1317ed5, 0x2d6b4a71, 0x65f76d40, 0xda269776, 0xf90feb1e, 0x115015e1, 0xb26c53a0,
+    0xcba8efb6, 0xa6f1ff8f, 0xaca6e9b1, 0x5e977708, 0x889be438, 0x2b85b020, 0x62bc76cb, 0x8a440dfc,
+    0xbb667775, 0xf394d6d7, 0x817448ca, 0xdadc5622, 0x3ac85b1f, 0x72574dc2, 0x18f4059a, 0x5e14c5e5,
+    0x0bd20842, 0xd9419b1a, 0xb1b015f0, 0x59a1c9c7, 0x014d5039, 0x1cd95add, 0xc2754ce7, 0x7985fb72,
+    0xe7ea5b2d, 0x49727373, 0xa0b910e5, 0x1677d7e0, 0xfb8c8895, 0x25f154f9, 0x47dbfe63, 0xa8eec192,
+    0x126d50c1, 0x6e1a2b19, 0xc143c0c3, 0x66242441, 0xaf43c688, 0x51919eb8, 0x442c9e22, 0x030c9d00,
+    0x0e395eda, 0x8d0270eb, 0x75a6e6a2, 0x7e10548b, 0xed677a93, 0xb3937ee2, 0x6cb3e528, 0x3859514d,
+    0x49864290, 0xfd07414c, 0x23ed5804, 0xa66d53b8, 0x9d28720e, 0xe1102f04, 0xd22b4d03, 0xb98ca34d,
+    0x7510047f, 0x3ef2744a, 0xb64cc9b6, 0x5e2dceea, 0xc303138a, 0xb2f7b163, 0xca34e715, 0x98cc8687,
+    0x86303e3b, 0x3c662e74, 0x87cd7575, 0x87f854ed, 0xe30fb9d4, 0xa091ef56, 0xe418039e, 0xdffaf8d4,
+    0x3e24d5fa, 0x009e17d9, 0xb2bb3417, 0x8e2f7a1e, 0x413f3eac, 0x169ccf64, 0x41f59a30, 0xa2db5971,
+    0x0f23e560, 0xd27de39b, 0x5c9b9335, 0x0385cadc, 0xa426f8c3, 0x3eb63bc8, 0xca2658a4, 0xff10fda9,
+    0x00000000,
+    0x7af2846c, 0x2714bd0a, 0x7076d055, 0x588ab831, 0xbe66bc08, 0xdf461e98, 0x5b9254df, 0x721314ac,
+    0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000105768955006439775832306449285243366372544749274\
+                          28499508554380724390492659780981533203027367035444557561459392400373732868096 */
+  { 0x00000000,
+    0xc4c2f4a1, 0x3a9a3aac, 0x39e556fc, 0x0658f32a, 0xe6e16277, 0x1a5d082f, 0x19b55d07, 0xd2ed3061,
+    0x48b5072c, 0xb6a1e103, 0xc0233cda, 0x5a7810d6, 0xfa188742, 0x13b7b6ea, 0x802b0076, 0xc624e8ef,
+    0xd30ff1fb, 0x02fa846e, 0x05b1eefe, 0xe500ad8b, 0x62f60ab4, 0x0a7942ad, 0x7f80ec21, 0x4105d890,
+    0xe7f0a726, 0xb97693dc, 0x05a47b0c, 0x5dbfc104, 0x9d835d9d, 0xac1c2820, 0xceba0ec9, 0x2becfb70,
+    0x86784a6c, 0x1593212c, 0x9709c4a8, 0xb71c4506, 0xef51a3a1, 0xa2a3cb6f, 0xa0ae3ff5, 0xfab812b9,
+    0x2b9dfe6c, 0xefd3aa56, 0x810d9c21, 0x4c6e80e9, 0xc83b9140, 0x65bc5cd4, 0xedfd343a, 0x85eab381,
+    0x82f4b988, 0xcf64f7c9, 0x440631c5, 0xd563e191, 0x897cf030, 0xaa677766, 0x0bdb2f7b, 0x7b594ef8,
+    0x5248906c, 0x1bed9a35, 0x98f6d9ae, 0x74f928ab, 0x2534fbcd, 0x4f7ccfc5, 0xf1f2ab9f, 0x6a2439d8,
+    0xa9d738ae, 0x947a4221, 0x85da0263, 0xbda5fcda, 0x8fb335ec, 0xd7c702e3, 0xb69456ca, 0x98855a35,
+    0x80416c83, 0xb1228639, 0x5e6889c1, 0x9e3270e6, 0x42a43c78, 0x757970a6, 0x4fd1c278, 0x85d4acd1,
+    0x9649d2a7, 0xfbf24c55, 0xf5ac8b2a, 0x1f1d5163, 0x489be245, 0xdbab1145, 0x3a7ef2ae, 0x5f7334d0,
+    0x88c71020, 0xf35ca4d8, 0xa950df0c, 0x32ed546a, 0xcc45f838, 0xacc4f20f, 0x12a4ef78, 0x9cb0b941,
+    0x1cacc46e, 0xeefa9329, 0xb861cbce, 0xae697f8a, 0x815ec0b2, 0x481ef4f4, 0x598e4e48, 0x69630238,
+    0x9b8f1fda, 0x00c07623, 0xf0a164a5, 0x4d0e52e5, 0x213b965c, 0xc71a8886, 0x99d47de2, 0xf5d2cd6e,
+    0x2f4a0ddb, 0x60702e8c, 0xd91fc42e, 0x59633521, 0xc6b720f0, 0xe206ea88, 0x92432f4a, 0x8ce6845a,
+    0x18235c26, 0x0bf59616, 0x5c159234, 0xe32b2b61, 0xba05972b, 0x324ba43e, 0x8987b427, 0xc0959b9f,
+    0xdc67a22b, 0xcdb44635, 0x2956c09c, 0x932a7bb8, 0xa85e5007, 0x1f738809, 0x53513d28, 0x6b2c2efb,
+    0x92451077, 0x6d21d558, 0xf9482d3b, 0xd17ef05e, 0x472260d6, 0xc1cb326a, 0x843ca0d4, 0xd0a492bc,
+    0x72bbfce5, 0x4d5f470a, 0x8320e35a, 0x6481ed6c, 0x94f93649, 0xf56b7242, 0xabb601b5, 0x4f98139a,
+    0x61b30e45, 0x7194098e, 0x6957396d, 0x7d232e17, 0x4ee9365a, 0xdc30b188, 0x145a5944, 0xf28b70a3,
+    0x48e3a50b, 0xfb354bca, 0x34a506ea, 0x829bfa86, 0xf1a7a31e, 0x208311d8, 0xd9a9479e, 0x4bde52e6,
+    0x9a2f6dfc, 0xf083a3ef, 0x14494017, 0x44e3e62d, 0x186cd82f, 0xe5aa7296, 0xd7e8de53, 0x21c37230,
+    0x5c8e2d8b, 0x71d4dbc5, 0xe9989c6f, 0xd8c42221, 0xfd0f21b9, 0xc4ae1408, 0xe1975ef4, 0x022d1d59,
+    0x9b5422a6, 0x60737ed8, 0x3f30fb5f, 0xeefa8c97, 0xf5b73b3b, 0xcac007a4, 0x6a23f111, 0x8af3844c,
+    0xdc8b2932, 0xfdcb72ec, 0xbb4a39e0, 0xa6965b19, 0x931545ff, 0xac553fc5, 0x773153bf, 0x35b76fd1,
+    0xd7cdde29, 0xdd50e8ab, 0x63b32505, 0x7fae44cc, 0x6351bbb2, 0x380b1c66, 0x67a2973c, 0x95574609,
+    0x861acd3b, 0xe95816cb, 0xad2e08f5, 0x332fd710, 0x52a962e4, 0x08ab2cd1, 0x3eeccd05, 0xef0edee2,
+    0x9a008b58, 0xe88fd2f6, 0x97c5efe4, 0xa0be8fa9, 0x77a13a2c, 0xb5123274, 0xbf01ab7b, 0x1c7388ef,
+    0x887042d1, 0x136428d1, 0xc1894d8b, 0x09ed8f5b, 0x34c4946c, 0x4791ddba, 0x15b5f713, 0xda446bf8,
+    0xc28b2a4b, 0x470c390f, 0x2dceffc5, 0xb8c589fb, 0x1ec824ce, 0x08066cc5, 0xc8e00a1c, 0x420cc007,
+    0x1f2a838a, 0xc815e8f2, 0x768a46be, 0xc6ad1252, 0x03f86ca7, 0x142a38c5, 0x106735dd, 0xf9d6b1b3,
+    0xdb2c5673, 0xf56d059b, 0x979468d8, 0x2bf49ef4, 0x1104ee4a, 0xa4aba615, 0x3dfac01e, 0xd211c013,
+    0x7c445c1d, 0x6b3f4023, 0xac4a9a86, 0x18d76564, 0x08b5bbf9, 0xb03f7bbf, 0x39e23ec7, 0x94cb90d1,
+    0x2c5b7995, 0x833a554f, 0xac5cc3c2, 0x8679ee0a, 0x5b7fe64e, 0xa415e506, 0x5236511b, 0xebfdf05e,
+    0x9740dab7, 0x018db3e9, 0x780735c7, 0x7ae6c28b, 0x4fec8f40, 0x24942ec3, 0x5bf4aa0e, 0x302f4e7f,
+    0x8c4c41e4, 0x58b7062f, 0xfb760360, 0x3b817e51, 0xfe886c37, 0x879eff7b, 0xa7936de1, 0x597b75e2,
+    0xc4ea02be, 0x222faeb4, 0xacdbb01d, 0x1c86c04a, 0xd9767c96, 0x6669ee49, 0xfba65908, 0x71b6b588,
+    0xbd8803b5, 0x90b29169, 0x4d56a3a9, 0x6a270316, 0x9c1a94e3, 0x52fb1149, 0x59f3ec94, 0xf299931b,
+    0xe124b9aa, 0xb1d79c21, 0x16c005bb, 0x66d29b11, 0xc7d2cb62, 0xdf8594ea, 0x04742e73, 0x42e75f02,
+    0xe4833e10, 0x7d9bd99d, 0x786c1b4d, 0x9f952ceb, 0x0a14624a, 0x1b37fc68, 0x7a0933ac, 0x328afe73,
+    0x1c68aed2, 0x5db2da50, 0xc8703ec8, 0x6cd79c8a, 0x3b73f070, 0x7dd1d712, 0x09c774c2, 0x956e3677,
+    0x6eb801f8, 0x1dc9034c, 0x59b0607b, 0xdecd9942, 0xa8a34709, 0x8e900f3c, 0xe789d685, 0x0e900949,
+    0x0e0a74ca, 0x76016b1f, 0xd240e5ee, 0xe4434e24, 0x153ceacf, 0x7f77a311, 0xc7216748, 0x7b4c2d6a,
+    0x600be840, 0x8f3e60d2, 0x810fc0fa, 0x15184e7a, 0x9c32f395, 0x5ee802bb, 0xa3a99f90, 0x8731ad5e,
+    0xd7abae56, 0x6d279193, 0x11b30b2c, 0xf022c354, 0x2dd8d379, 0xd8e9fb07, 0xaca59e6a, 0x3bb901c9,
+    0xeaeb5dba, 0x4fe31798, 0x65396525, 0x1b2dede8, 0xfa01fe49, 0x82482ed8, 0x62bfdba2, 0xb38f9e9b,
+    0x44b2f6e1, 0x2fce46f2, 0xb74ae771, 0x81090eb2, 0xbfedbf45, 0xcc8b2ba2, 0xd342e971, 0x03ead55d,
+    0xc8fda478, 0xa969e499, 0xbc5d60b0, 0x1e8bd363, 0x919d6071, 0x21d72c3e, 0xbbee4c5e, 0x564ccc8f,
+    0xa236ea79, 0x40bdfc6a, 0xc3cb5f22, 0xd85bbacc, 0x9a087dc6, 0xbd8d07bc, 0x8d96c4bc, 0x759922cd,
+    0xac7565ee, 0xba9f8e2d, 0xe4eb77cd, 0x4f8166d7, 0x9393e7ca, 0x0ba8751d, 0xeeccec03, 0xdd6144b3,
+    0x51c50ea2, 0xced8d984, 0x19651770, 0xd7b157b8, 0xca275ac9, 0x9261ef50, 0x392ff286, 0x9055067e,
+    0x4b8be782, 0xfd2b1a78, 0x2288beb3, 0x00d10e32, 0x0cc59cf2, 0xf3237177, 0x0ae8fd1d, 0x14a0cc70,
+    0xfd804625, 0xd1f4df68, 0x7890c676, 0xef05028f, 0xef6f004a, 0xc485171c, 0x8f3390c1, 0x92fea194,
+    0x759943a1, 0x0baef8e6, 0x275d519d, 0x9125fb39, 0x81658798, 0x89c57e0d, 0x6f6f84be, 0xc41376ea,
+    0x4cb6b040, 0x24599740, 0x61525401, 0x9dcd27d6, 0x59a0f03a, 0xc2d7781d, 0x43ec6e13, 0x74dd6f07,
+    0x5dc30f3d, 0x344f6f18, 0x47269988, 0x19ababe8, 0x47dc5aaf, 0x5037cb29, 0xcf7d48df, 0x9dcc82af,
+    0x0a16be54, 0x0eb44190, 0x8a8e832c, 0x290a4de8, 0xf11f2298, 0x287b4a0e, 0xc3e3d8e7, 0xe69f820b,
+    0x06947261, 0x0dfa62f0, 0x2f2e0ee0, 0x90a676c9, 0xca3c686a, 0xcec40e95, 0x4dd41e65, 0xf694016d,
+    0x63f8c9c2, 0x6e146213, 0xa37b373f, 0xe1bd0f9d, 0x03de89e2, 0xeb47168e, 0xeb9a1096, 0xd9758faa,
+    0x9748cc69, 0x449e4971, 0x4cfa9b33, 0x1737bc47, 0x7b171704, 0x3e6be4ff, 0x403dd1e8, 0xbe9aa4c6,
+    0xb45a4527, 0x40d66185, 0x74c4bb6c, 0xc369048a, 0x704ae3b7, 0x9708e1b0, 0x874a9452, 0xdd18ff1b,
+    0x7a75db7e, 0x2ef03d0a, 0x27371916, 0x38cb9ea9, 0x33b11201, 0x02bb33d5, 0xf5f8cbb7, 0x58618336,
+    0x78eccb87, 0x289b6c60, 0x2b9dbf3a, 0x3e939a61, 0x35c6236b, 0xfdefc2bd, 0x434e5a08, 0xf5ec711e,
+    0xb22682b6, 0x32dafe4b, 0x0cad8a38, 0x5335278f, 0x5d7975c9, 0x99df4817, 0xea41712a, 0xe700c122,
+    0xc48a8693, 0xbeddc9d3, 0x2d5a65c1, 0xebb8c79c, 0x72f23d19, 0x5980df28, 0xafeb30e0, 0x698505af,
+    0x180d1c60, 0x2b1d6ad3, 0xde2b0d35, 0x8c004a8d, 0xc891ff7e, 0x5369b60c, 0xe36485ea, 0x4a97f43b,
+    0x5bd93b81, 0xfd56b7c4, 0xb6ebcbca, 0x9c4bf6f6, 0x9b757ad7, 0xcd2b92e6, 0x800bd9d8, 0x3d9580c9,
+    0xdf6c3a03, 0xe7d09752, 0xdff183f4, 0x97639e59, 0x95620eb6, 0x5cbd0252, 0xe4f6b05a, 0x14a37625,
+    0x56977092, 0xef046712, 0xe7f2d119, 0x02521017, 0x4c827c9f, 0xbdbccb57, 0xb7cf2030, 0x9334dcd5,
+    0x4b79c56f, 0x694706f9, 0x16ae5056, 0xc6677f0c, 0x70391923, 0xd7af3a3e, 0xe009c9c3, 0x037f6056,
+    0x40aa179f, 0x18eeab5c, 0x6bfe230e, 0x62a5ea91, 0xb099aa2e, 0x5bb77fc2, 0x4c9150d2, 0x67fccc83,
+    0xbbdfb172, 0xa4d5be71, 0x0d15b26a, 0x3309d382, 0xf0abd453, 0x1ac87fd8, 0x459af73a, 0x45109d87,
+    0xba464c3e, 0x9894a2cb, 0x499fcbfb, 0x8d6883c8, 0xe3bb7db5, 0x52d22d58, 0x9d5c169b, 0x466d2c89,
+    0x0a890d63, 0x60f2d484, 0x2fa511ef, 0x356591c5, 0x1204aa0d, 0x0aeeb229, 0xe90aac0a, 0x21aa60fd,
+    0x6efd9f5b, 0xe8afd28b, 0xc1e39078, 0xe403a624, 0x104e88eb, 0x2ae5b687, 0xdb8ee6b3, 0x6397f04d,
+    0x030788d4, 0x7eb4321c, 0xf6dd3c5d, 0xfe258ef4, 0x5ba5a943, 0xa0d9d4b4, 0x48c4147a, 0xf0374277,
+    0x947b484a, 0x2206b98b, 0x74596711, 0x69b9c89f, 0x91380780, 0x512ac530, 0x9244f3a2, 0x7ddd0016,
+    0xe6f00370, 0x7fc85439, 0x65d5ab05, 0xc0ca3a8f, 0x927028b6, 0xea77e4ff, 0xba59aade, 0xc2bc644c,
+    0x1f1a40cf, 0x49f7d7b9, 0x8558186a, 0x59a16d0b, 0xd1abf470, 0x4d3997fe, 0xa5949f8a, 0x657e4f38,
+    0x9ccaa4cd, 0xe047d9a2, 0x6406ff2b, 0x30d85129, 0x0f6f6fd3, 0x242eaf82, 0xd8ddddc3, 0x018a365d,
+    0x8aeb3b9f, 0x0725af4a, 0x766a272a, 0xee537bbd, 0xfe6ca991, 0x766421d0, 0xfa4b15e9, 0xd73f19d9,
+    0x9cfc7515, 0x61292a71, 0x72d5f127, 0xd771d0f3, 0x9675a6bd, 0x4369c4b7, 0xb053740e, 0x78356403,
+    0xbe795bd9, 0x0c491185, 0xbfa838d1, 0x91475c7a, 0x63dae95d, 0xd5e3b3cf, 0xb68b65e5, 0x2f60b988,
+    0x8a79fccf, 0xe6dc4e8d, 0xa24d6c94, 0x25271f81, 0xc1233f07, 0x0cb5c8b8, 0x5000521d, 0x870cb981,
+    0xe8b3b026, 0x40c03da6, 0x05409561, 0x525509dd, 0x017f185c, 0x911269d7, 0xace2d1da, 0xd1940796,
+    0x0ef46eb4, 0x7c870421, 0xd217c63f, 0xd62f7459, 0x34b8a4a5, 0x64ee44f2, 0xe2b0cfba, 0xc691a735,
+    0xa3bd1fef, 0xaacbbabc, 0xe29775ab, 0x0c79af33, 0x8a764b98, 0x73cfb109, 0x027fb359, 0x2e2d2cb5,
+    0x8b6d89b1, 0x1d7b37fa, 0xef4cdcc5, 0x696518d7, 0x50c63c89, 0x20f1835f, 0x370aed4c, 0xccd8ae32,
+    0xc5dfab6f, 0x72e3b4e6, 0xe46f3616, 0xdc7800bb, 0xa9ecaabf, 0x4e369b5e, 0xa916e650, 0xcc1a1819,
+    0x4190a60c, 0xa67bc81b, 0xc4e04fc1, 0x602673e0, 0xbddfbad8, 0xac28f7f4, 0xadd94592, 0x71fb8c97,
+    0xd9426c49, 0x8215d119, 0x4bcf26d0, 0x712bbc86, 0xff2a8ad9, 0x5d964fcc, 0x344df391, 0xee6b55d8,
+    0xd6fef331, 0xa2342ce5, 0xb7385dd7, 0x29466016, 0x24bdc81c, 0xb55ac7c3, 0x581a796a, 0x0bdb8c05,
+    0xc6016cc6, 0x38a449f7, 0x1cab4d2c, 0x62499eca, 0x595ac710, 0x82e9d257, 0xbe7845d6, 0x2fd1e24f,
+    0xec77df73, 0x15873719, 0x67757050, 0x159fd05f, 0x988ee663, 0x4b86a317, 0xe51a2dd2, 0x33c8f51a,
+    0xa526581a, 0xf089b2d3, 0xc6fdeb5d, 0xf43a0460, 0x48ac7080, 0xd870caa7, 0xfd06fbe3, 0x780d67bb,
+    0xaa1712aa, 0x9ed570bb, 0xa2a50d4c, 0x32f08a9d, 0x054d8642, 0x11040f0d, 0x53feacb0, 0x38990832,
+    0x4054b23e, 0x1e57a855, 0xf48de5be, 0xf6ff2862, 0xb5dae2c1, 0x39d13f38, 0x0f900309, 0x546f67c6,
+    0xfe97ae22, 0xe2a3db18, 0x5376f9a9, 0x198a1b95, 0xc9a8680a, 0x581f2ef5, 0x4d1828d0, 0xc0260df5,
+    0x3e39574b, 0xb2948e40, 0x51e19046, 0x69f3fd31, 0x03780308, 0x2a87e5ec, 0xe1a7c0e9, 0xffe430f9,
+    0x03afb744, 0xe25f8026, 0x336b351f, 0xe1c6a737, 0xd50448b6, 0x610cf1cb, 0xa19bbbb8, 0x70f2f989,
+    0x314db9e9, 0xb2f33f95, 0xafb7a6b8, 0x50d8e71b, 0x1fd07d07, 0x6c671ac1, 0xdd9add3b, 0xfebd7516,
+    0xdc5c4a7f, 0xf3dc84cc, 0x33127318, 0x37eb3b10, 0xf34ead06, 0xce7c5f9a, 0xa6b38037, 0x93e35d68,
+    0xa969585d, 0x7c9b0ff5, 0x227af562, 0x36f057a9, 0xabedc721, 0x5287d39c, 0xb083c64e, 0x9a3c5a2b,
+    0x2dee4a51, 0xf949ac91, 0xa9aa5b98, 0xfe0de5ff, 0x18c96653, 0xbac98725, 0x145d5f85, 0xf3b9343d,
+    0xdc619074, 0x9508aadc, 0x01a745df, 0x1fd831d3, 0xa97e090a, 0x360c95fe, 0x070ee139, 0x138911e6,
+    0x2c3ec4d6, 0x96c5d77f, 0xe1983ca6, 0x16293a93, 0x27eb9587, 0x82502acc, 0x421cd364, 0xdc37f7d8,
+    0x56fa81fb, 0xbfc5c532, 0x22a93758, 0x6ef757c3, 0x3e2259e2, 0xaa14f79e, 0x040b9871, 0xe0ebf183,
+    0xf95c7b75, 0xe585843f, 0x4a3525fd, 0x67459cac, 0x7ef0600b, 0x0650631c, 0x23788dc7, 0xc3b1b2b7,
+    0x30723fd0, 0x975f24bd, 0xecd99118, 0x2bc1907f, 0xb14f0bc9, 0x904600bb, 0x95321092, 0xf74a4201,
+    0x1ef2d6b6, 0x7d5635d5, 0xd5ef0f71, 0xc6aae7a0, 0x0ed0d00a, 0x939df7be, 0x2ea881db, 0x3e170a4e,
+    0x815ac1f9, 0xfd7ad35d, 0x2760a799, 0x8eb49a3d, 0x7a2f4dcc, 0xc7863e57, 0xd0a769d6, 0xda0fef9b,
+    0xe0bf6956, 0x1ab3f59e, 0xc6da4bff, 0x6c9a3aa6, 0xaf88c273, 0x5c278e9a, 0xc8761683, 0xd63e4b4d,
+    0x8436691d, 0x761115a9, 0xee6a3e15, 0xe741ff52, 0x4ad2cb67, 0x8109d8f2, 0x36256278, 0x00678bfb,
+    0x05e78597, 0x0aee5f09, 0x8ff4983e, 0x07aa8083, 0x8d96be4e, 0xd1025288, 0xf92f1d7c, 0x624050c9,
+    0xb2dcdce5, 0x2310c801, 0xf21a6300, 0xfae9612e, 0x188aefe2, 0xd2a19214, 0xd9101d6d, 0x16e3a2ff,
+    0x65bc5c36, 0x2f1afa80, 0xe75de10a, 0x0a50abf0, 0xff8a5660, 0x83f79acf, 0x3c69f39f, 0x1a60bbca,
+    0xf7335d5b, 0x7ca77209, 0x4ceb958a, 0x894e63d1, 0xab56a0ca, 0xf5eecfd4, 0x55829dcb, 0xfb455104,
+    0x59e01dbe, 0x7b2d3df8, 0x50ed196a, 0xaac93ae2, 0xee506ff8, 0x402fa956, 0xcc1930a6, 0xb10451d0,
+    0x5046ae07, 0x0ade4015, 0xd68ced78, 0x4029aefd, 0x670076c4, 0x4c379552, 0x72efc976, 0x7369a84d,
+    0x722c57df, 0x259a0539, 0xa53fa735, 0x7e317bb0, 0x60fdc7e9, 0xb271d450, 0x3f26e229, 0x3cf153ac,
+    0xcf87d2a5, 0xaa1182e7, 0x9bc44c79, 0xa9f86e98, 0xa65b2f85, 0xe3a9ac9e, 0xfe175e3b, 0x602d92a4,
+    0x8fad4040, 0xb6df03e5, 0x17bf29cf, 0x47d44100, 0x7a765a5c, 0x5ab31e36, 0x7d11bf22, 0x4183d341,
+    0x154d3ad6, 0xaf165801, 0x2a208797, 0xfc78cef9, 0x21974fda, 0x2bece640, 0xa58a9776, 0x19a405ec,
+    0x97b72a0d, 0xfd977ed2, 0xe94d0fe7, 0x3ac5c0fb, 0x408d9e95, 0x642cc8dd, 0x6a9d75e4, 0x820ac99f,
+    0x4252cf08, 0x055e586c, 0xc929e7b4, 0x179d1309, 0xcb8d0c44, 0x7ad470b7, 0x93da9123, 0x3252497c,
+    0x2398fa8e, 0xbce3934d, 0xc5aa7536, 0xc9f6819c, 0x65951594, 0x90b74a06, 0x2c76a81f, 0xff8862e3,
+    0x00000000,
+    0x3d794235, 0x938a5e85, 0xb83b682a, 0x2c455c18, 0x5f335e04, 0xefa30f4c, 0x2dc92a6f, 0x39098a56,
+    0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000052884477503219887916153224642621683186272374637\
+                          14249754277190362195246329890490766601513683517722278780729696200186866434048 */
+  { 0x00000000,
+    0x0d6d34fa, 0x0ace30b9, 0xf4bd3740, 0x841c0c9e, 0x85024d61, 0x84d8ac76, 0xb20c01ef, 0xf29efe6f,
+    0xc784e36c, 0x206e4d55, 0xa9ee3980, 0x08f3a226, 0xcb0b2ee7, 0x7882b275, 0xeef8781b, 0xfdcab9cc,
+    0x276028be, 0xc3a99aeb, 0xf0e3dc8a, 0xaa3ef012, 0x8878022f, 0x330ef806, 0x61fdbd1b, 0x83d9ad13,
+    0x7d3e593d, 0x381305bc, 0xe2159057, 0xfc18c864, 0x74b54546, 0xc65121d7, 0x5a4044fe, 0x7b60aeac,
+    0xe4ade873, 0x4e151b41, 0x91a5122a, 0xfeb56b0b, 0xdc6bdc5e, 0x1f700d2a, 0x701320a8, 0xac0f65cd,
+    0x23a22f27, 0x2e1c5bd4, 0xe1906dd7, 0xfe4e2b33, 0x5634e66e, 0xbee0e2ea, 0xe05c70f8, 0x40e1f5d8,
+    0x254bcde9, 0xaf990479, 0x989d29f7, 0xc54de781, 0x5e059023, 0x891db6bb, 0x92be09ab, 0x3e92f7c5,
+    0x8d9a7146, 0x35d1b63f, 0x6ef7e7a4, 0x60b46aa6, 0xf065121e, 0xe1b8ae42, 0x21dfeb9b, 0x1f6dcd77,
+    0x607654c3, 0x101fe798, 0xc132dd3b, 0x9d4aac86, 0xc999ab65, 0xf3c56e5c, 0x2cd2d406, 0x2fa308ca,
+    0x1142e178, 0xd630d571, 0x3c9bb045, 0x3e6b3673, 0xd32fe05f, 0xdcd4874a, 0x5f75821d, 0xc803b5bd,
+    0x454cbc46, 0x54021624, 0xd19e1082, 0x95008262, 0x5fe83559, 0x7f66e936, 0xadd401d2, 0xe60d2a9d,
+    0x7e425a72, 0xd78cedb6, 0x14da75cb, 0x05266bb3, 0xff7908a7, 0x76e4e0e8, 0x95499767, 0xa7e8d474,
+    0x19beaedd, 0x84e55dfa, 0x84dc64a9, 0x810b314b, 0x032b9470, 0x0f124800, 0x9b999044, 0x711ea772,
+    0xa62f1f04, 0x9fd9660b, 0xf6af1121, 0xfc33aeeb, 0x4f0094c4, 0xdfde2d8d, 0x1efacf6a, 0x308fa07f,
+    0xcada8aac, 0x664da7b8, 0x0026e61a, 0x6d88738a, 0x7de51374, 0xc6b2116d, 0xbfcdb57b, 0x289ccbcb,
+    0xf30d2a1c, 0x720922c3, 0x280a4161, 0x29b244fd, 0x2bf200eb, 0x70c7abc7, 0x1aab4e7d, 0xeae123c1,
+    0xe470b36d, 0x6f48500f, 0x6fe86a6f, 0xd6a9420f, 0x4cfbf0ca, 0x163a984f, 0x3e581824, 0x66de257b,
+    0x242b1532, 0xfe9d3e27, 0x243ab2f3, 0x5e90f9fb, 0xeaed17eb, 0x3f59c144, 0x35ad39d9, 0xdaaaf572,
+    0x71e287b4, 0x4c400aa2, 0x431d03af, 0xeee88286, 0xbe7bf7c5, 0xad49cddd, 0x857c5913, 0x5f72e7c4,
+    0xf3414584, 0x512fe5d5, 0xbfec273b, 0xb8666fb9, 0x1345e25e, 0x0603359d, 0xa0db6d4b, 0x8740ff9d,
+    0x5b24e488, 0x0351c4fd, 0x04c3897a, 0x250593c7, 0x1aa1469a, 0x95364523, 0xa45f3424, 0x2b4e85a9,
+    0x9533a236, 0xe8f020c8, 0x0cb24fa6, 0x5797eb33, 0x18fd1186, 0xae826602, 0x7d9e5ba0, 0x2ec836e7,
+    0xaf1876a5, 0x79893030, 0xf0181790, 0xb7250d5e, 0x30592a9f, 0xdfd971e5, 0x8af8b694, 0x700a0bf2,
+    0xb5ad394b, 0x57f79afe, 0x2d714753, 0xee2b1792, 0x92c522e6, 0x2f2fa11d, 0x7313e1c8, 0x595b1447,
+    0x7f3ca847, 0x5635079a, 0x0145c0db, 0xe2bbfad6, 0x0957e4bd, 0x515fd41c, 0xa4fafc29, 0x23adfd38,
+    0x140cd497, 0x374ecb6b, 0x94212945, 0x80af7bb2, 0x39202ba4, 0xc4370339, 0xce9dab70, 0x4608ee7f,
+    0xbc5250b0, 0xe5bc93e2, 0x2937288a, 0x4d1ba0b7, 0x0dbf938b, 0x0d6b50ae, 0x635b1244, 0x1ed2eb46,
+    0x787b2258, 0x613a05fb, 0x15e43e6f, 0xae483304, 0x9adcc576, 0xede1a35e, 0x2ad611e6, 0xfe703cd2,
+    0xf22cd361, 0x704d2782, 0x245cf75d, 0xe9a533ee, 0x0887e942, 0x4bd67314, 0x29f92bb0, 0x1b602258,
+    0xe9992f5b, 0x95eb9f20, 0x80a13729, 0xae9ff84e, 0x449c493e, 0xe86d781d, 0xa7084c4d, 0x843ecbfd,
+    0x9507c7b4, 0x103453d3, 0x88307783, 0x5bc74cdd, 0x5ffb4151, 0x0fe008f8, 0x24fbfb43, 0xf42eb7b2,
+    0xda73213a, 0x776343f8, 0x22021e09, 0x0a790959, 0x29785fbd, 0x531dccde, 0xc2a6dbe7, 0x021e5c9e,
+    0x95dd21e2, 0xaaa8f96c, 0x1b31b5bd, 0x62c0f12f, 0xa4ee485f, 0xde256d30, 0x5c30ae2b, 0xbe0fb2e4,
+    0x33bfa44c, 0x47cd87c1, 0xbb1774c5, 0x43da1803, 0xaca6c95f, 0x3c797ffc, 0xc000ddcf, 0xe596d926,
+    0x85ea4660, 0xf9b415f2, 0x51ca307c, 0xe2471463, 0xb1f83bbe, 0x515ac2eb, 0xb16bfd42, 0x2c976656,
+    0xadd296ea, 0xeeb8b73f, 0xae7a5925, 0x2c3eda07, 0x1605fcae, 0x748f1129, 0xdf27fdb5, 0xda01c57c,
+    0xce9d6204, 0x2850af47, 0x7ab23701, 0x84460ccf, 0x020a6e7b, 0x13cb8a15, 0x15b79145, 0x541e973a,
+    0xc41a0e48, 0x80aa38c4, 0x85583e82, 0x7be2e571, 0x2a1d506c, 0x049691f9, 0x52f796c6, 0x354d22b7,
+    0x12f527ed, 0xa783e5fb, 0xc9b4f563, 0xb22b4aab, 0x13e7a6a9, 0x6bee7f65, 0x1f187d1e, 0xeacb34e6,
+    0x7e995e8f, 0x8763ab62, 0x44957dcf, 0x5e22e78a, 0xf6a6a105, 0xc23a1b2f, 0x3a31d92d, 0x96ade724,
+    0xa4122f4d, 0x24b13327, 0xc5c64f70, 0x1d053994, 0x666bcac0, 0x3e7d183c, 0xea1cfac3, 0xd8e1650b,
+    0x40fd7b2d, 0x345856f4, 0x65d46caa, 0x446b16a8, 0x819c4ea4, 0xa77efa80, 0x0e216692, 0x6a3dd432,
+    0x2dc7fccb, 0x60bef813, 0x82fc983f, 0x0ebde896, 0xaa4200ec, 0x87f00189, 0x8bfcf93c, 0xcd30c1a4,
+    0x03b344d2, 0xb5114529, 0x1e30b104, 0xf9737c89, 0x4b396fa1, 0xa925853f, 0xf76a5240, 0xdf9b8440,
+    0x26e1a67d, 0xdf970882, 0x32be068a, 0x92fa8028, 0x2d259fc9, 0x75d594e5, 0x3eb76905, 0x76013a99,
+    0x9320f0e4, 0xb6f653e9, 0xba008e40, 0x11aa36d4, 0x2d155ba0, 0xcdb343bb, 0xf42ad666, 0xfc1db563,
+    0x7b5cc2bb, 0x26cbe90a, 0xea3b67b9, 0xfb07ee3e, 0x0b23c7a5, 0xe60cf5df, 0x8c90653c, 0x9ad7ac2e,
+    0x3d5b1aa6, 0xb57815d6, 0x37ac0a9f, 0xa21e2718, 0x155417c4, 0xf282aa57, 0x7ad52634, 0x43ba0db1,
+    0x7c98d7a7, 0xbd0d65d3, 0xba3223a8, 0x61376c97, 0x763e957b, 0x15844290, 0x5d5ced34, 0xd215e4c3,
+    0xa6ba9735, 0x6c0be651, 0x3a600579, 0x59b28b55, 0x44ece743, 0xd78c5a96, 0x807c2621, 0x115fc1a7,
+    0x05bee828, 0x7ac1fe1a, 0xbc58de09, 0x25d2fb24, 0x8d69b36b, 0x483b6455, 0x56f1e817, 0x82237cca,
+    0x7cdc94cc, 0x8245c953, 0x017cc0d3, 0x95059f3a, 0x1df26771, 0x0dce0455, 0xd971da6f, 0x2ff87a82,
+    0xdbedbea2, 0x74b7e277, 0x34596c59, 0xdf6488ec, 0x01adf234, 0x5ef4892b, 0xa7b73266, 0xe26ff814,
+    0x18e84993, 0xfd5125c8, 0xd7c690b2, 0x7f96acd6, 0x060f721c, 0xd5702810, 0x090a69bb, 0xfba0495f,
+    0xc7aeb1be, 0xeb439ab4, 0xe87da94f, 0x7daa3f94, 0x23112cb7, 0xba0b12bd, 0x55c16582, 0x7731fe79,
+    0x82097e39, 0x913341d1, 0xd57084e1, 0xb9397538, 0xcb536a44, 0x653f3060, 0xf9484388, 0x18161624,
+    0xfd4a0749, 0x8357132a, 0xd3a255b6, 0xc4f51260, 0x944e64e7, 0xfc9680f6, 0xf9c472dc, 0x476c09d0,
+    0x6de92d07, 0x945bbf9a, 0x5a8d633f, 0x76e4568d, 0x13b75613, 0x8d129587, 0x63e0b5c5, 0x9f8449ee,
+    0xca168f2f, 0xfde22346, 0x23dcd425, 0xe64d795c, 0x73e43f77, 0x85900119, 0xfbf82de2, 0x24a9b6f0,
+    0x0ca8aeaf, 0x680d1cf8, 0x7e281a4a, 0x8b8b076f, 0xc509da1c, 0x4a18e496, 0x1f9ebc52, 0x2dafa732,
+    0x67817680, 0x8595ff57, 0xf121c243, 0xee6bf397, 0x9debe7b7, 0x3e6845d0, 0xfa46e042, 0x6e883448,
+    0x60913149, 0x52f7e38b, 0xe1fdda23, 0xf9191d44, 0x33d26afd, 0xc40e3f3f, 0xfdc7e48a, 0xb9d6d359,
+    0x48574753, 0x95b7051c, 0x384b9ca2, 0x39788750, 0xc4e42551, 0x3c5674dc, 0x3120d529, 0xd94e1edb,
+    0x00696c9e, 0xd200adba, 0xf4c390e3, 0xed94e4e9, 0xa0f13d76, 0x195bdbad, 0x8b75dbff, 0x811ca2fe,
+    0x9d5d0e13, 0xba09f985, 0x5990a59f, 0x14530ade, 0x72184040, 0xf6865d92, 0x9f7db66b, 0xc1f1757f,
+    0xb1300c0f, 0xd66daea8, 0xec3e15b6, 0xc227138a, 0xa4fa5fc2, 0x38deb180, 0x7e7e356a, 0x83f10177,
+    0x8ef79b92, 0x4f2ff641, 0xe9567f0e, 0x143c2a69, 0xc1c9c20e, 0x398c6be3, 0x7c6d029f, 0x49e39a2f,
+    0xdef74faa, 0xab2edf9b, 0x598e78d9, 0x1f2c3ae5, 0xecff6c6d, 0xa5a26365, 0xc1d2de05, 0x087b2fb3,
+    0xbd04757d, 0x005ffd34, 0x40f0adeb, 0xeeedf2a6, 0xfabe405f, 0xcbb8eb0f, 0x7da3f156, 0x18a148f5,
+    0x06c6ba30, 0x4b1e1684, 0xb6d61cb5, 0x75a43ca1, 0x19e14003, 0xed01dfcc, 0x2e57519a, 0x8efd7e69,
+    0x95e69bad, 0x4fe9f437, 0x40cf569b, 0x06a99198, 0x411c422a, 0xe48dcdc9, 0x14317ca1, 0xe23a791b,
+    0x14e1ed9d, 0xb4575296, 0xd6e8e0bd, 0x40ff8df2, 0x6ee7b8f2, 0x9a0effae, 0xeb5cf28d, 0x921dd9d5,
+    0x768611a3, 0xed8a2556, 0xd645f008, 0x3f8afd9e, 0x5de01098, 0xe8a0dadf, 0xaa9072f7, 0xee29554e,
+    0x0ea7457a, 0x0bbae1f5, 0xdba98c04, 0xdd46b424, 0xd63e92cc, 0xbb641c46, 0x8dace66c, 0xa8ee1c1b,
+    0xa0b36248, 0xce3284d9, 0x6e6674a0, 0xac588b1f, 0x9f341e1a, 0xe38547d8, 0x58f1dc11, 0x1234098c,
+    0xd6d3df3c, 0x7274c793, 0xa0fe7a4a, 0x87511e09, 0x136d5281, 0x63c7d792, 0xbd0d36c0, 0x9d7fea81,
+    0x5c094601, 0xb30d6178, 0x81ac7078, 0x5e559ece, 0xcbbaf7b9, 0xfe1dd485, 0x0367f224, 0x1b4f30fe,
+    0xe729cc35, 0xaecaf285, 0x63eb479e, 0xd04dc9d9, 0x236e7674, 0xe5488ac1, 0x945db0ac, 0x8cfa4406,
+    0x715f48a8, 0x4b62643e, 0x910ae1ca, 0x30b65234, 0x5e833d27, 0x692394aa, 0x2db2acb2, 0x6b7b1c9b,
+    0x97c10945, 0x2b839707, 0x583fea88, 0x5e5939bf, 0x3bbd78c2, 0x23491c41, 0x31a975f8, 0xbdd73a34,
+    0x0bd40d9d, 0x62bd4056, 0x532cfd1d, 0x34c09a23, 0x775a8a75, 0x5a17aa14, 0x94844d85, 0x1ee31871,
+    0x0c5e95d8, 0x6bb15dc8, 0x1b7df3a3, 0x44a5cd44, 0x70a88112, 0xfa3cccf2, 0xe1a8286f, 0x2a8b1aec,
+    0x3720644a, 0x16c6de32, 0xc8503851, 0x03f16f1f, 0xa9df3001, 0x853cc7f5, 0xa832fd52, 0xcd76d2ea,
+    0xc446cbe8, 0x9c35debb, 0xc98eb1e6, 0x6ca75cac, 0x9ceb52b7, 0xe7cb8a52, 0x9bc41c3a, 0xde3ca3ae,
+    0xe2a1760e, 0x9c2e770a, 0xe86ac927, 0x020bb1a5, 0x8ca8388d, 0x9dbc07ac, 0x1acf18ba, 0xca1c1716,
+    0xd897c369, 0x1dbd0064, 0xb4ce08bb, 0x589ed1db, 0x237e94db, 0xdf37f219, 0x767c66fc, 0x2828ba06,
+    0x828c41b7, 0x72f57195, 0xaebc3ee4, 0x182ec57e, 0xde679166, 0x2e573318, 0xe8fded18, 0x72896732,
+    0xde91f201, 0xa80dbb5e, 0x5da0ac3a, 0x637c7923, 0x0cf746bc, 0xf3bcf6ec, 0xcd5b7514, 0x5662eacb,
+    0x362569bc, 0xaa9bf715, 0xe189deaf, 0x1ba6bb48, 0x714c5b84, 0x605d7921, 0xff485da7, 0x9407ca08,
+    0x1cd36bb2, 0x4d15fdbb, 0x49aeb763, 0xdd215d68, 0x8fbeb633, 0x1099ecad, 0x9e9c49cc, 0x203b0af1,
+    0x455bdc2c, 0x488d1910, 0xcf8c085f, 0x0276a82a, 0x9e51202c, 0x35dc967b, 0x987fd9fe, 0xc04b6788,
+    0xc7911172, 0x66cb65df, 0xd7c30c7e, 0x358d8494, 0x04b4530b, 0x98626b5b, 0xff4ec057, 0x9cbb4fd6,
+    0x84c4e663, 0x6dbd86d3, 0x3b73c540, 0x769fda6a, 0x696c810b, 0x49d3a4f8, 0x757d4e75, 0x582725a4,
+    0x8e561d18, 0x23cc220c, 0xe8b4ac6a, 0x82d00361, 0x9356a7a5, 0x4740f145, 0x2f8b89eb, 0x51744cb4,
+    0x3d8edec3, 0xc5631e60, 0xa7705ffa, 0xd7c29393, 0x3e5f3eaf, 0x9ce9a8a0, 0x2cd68b97, 0x48e4bc9a,
+    0x704a47b9, 0xeb221499, 0x2e504956, 0xd14b5bce, 0xbc98a3d0, 0x77715d09, 0xdf4a9436, 0x7eff221b,
+    0x795a1082, 0x1e86d312, 0xec119930, 0xc072a7b8, 0xa53f3172, 0xb7b461d5, 0x68795f73, 0x4b020ce4,
+    0xf954c3dd, 0xc7d8116a, 0xc1a5539c, 0x522df663, 0xf2e20095, 0x152a873e, 0x2c405fa4, 0x438ab489,
+    0x8d1b0f13, 0x01311b1e, 0x293eab6f, 0x3add431d, 0xebee6529, 0x9f06b9fe, 0xd6a176f1, 0xcfd92bb1,
+    0x305c52d7, 0x4bc18177, 0x68c0985b, 0x757e9a9a, 0x1e2508ad, 0xf152dd6a, 0xa594918c, 0xfdf07ed0,
+    0x8077f3c5, 0x20d13539, 0x5bbfba3b, 0xa6466a4e, 0x1fb6a033, 0xb857bfe2, 0xc968328b, 0x7e260e91,
+    0x6cb24a2f, 0xe7ed8cfe, 0xf8f51be3, 0x476d431a, 0x064b963e, 0x6b21c8bf, 0x877e1ab7, 0x9498eb14,
+    0x6fc43d72, 0xf1044ff9, 0x50c4c61f, 0x85a1c09c, 0xdb619163, 0xcbdf1b0c, 0xe3c245db, 0xa1042713,
+    0x9cd45472, 0xa348c77e, 0xc6836b57, 0x849cec38, 0x368af905, 0x0d6ccc3f, 0xad76b4a0, 0xaf487417,
+    0x526d570e, 0xe1fdee55, 0xc8c18d2a, 0x4b0857ca, 0x15730e35, 0xed96beb6, 0xd96f9b3c, 0xfc8a3f8e,
+    0x60606867, 0x26449d4d, 0x802a33b5, 0x50de6b18, 0x2a39ec42, 0xf5f904a0, 0x01dda2fa, 0x1215ed2b,
+    0x4087ffe2, 0x8b85393a, 0xe56a5c1a, 0x092d82e0, 0x0c160d42, 0x8d8edd08, 0xcf4a1db4, 0xf7feb8d6,
+    0x762d8e2b, 0xd71cd0ed, 0x511fcbfe, 0xea10766a, 0xfdf63e32, 0xe73b7f46, 0x0862f888, 0xa76c5a6d,
+    0xfc70e53f, 0xfd73ca42, 0x241f6940, 0x1f57fca1, 0xac2db6d3, 0x2b9349d7, 0x1f245d15, 0x6a267524,
+    0x02a1a54d, 0xb25decec, 0x4522480f, 0xb1983531, 0xb25a455a, 0x7da54304, 0x4e4e6e46, 0x1ffbd589,
+    0x3a6303db, 0x00040789, 0x467aab47, 0x185ef6a0, 0x106773bd, 0xe9b298cb, 0xca3f791d, 0xbaf713f1,
+    0xa722ead7, 0x91c9b864, 0x502f4680, 0x719ae476, 0x08c31b12, 0xe071ee2d, 0x04c40429, 0x523d7ad1,
+    0x7b98c458, 0x10840c7f, 0x3d760607, 0x7b815b34, 0xd108414c, 0x9c26683b, 0xff5295ec, 0xe164c920,
+    0xf7547eb7, 0x0b77401c, 0x1b8c53e4, 0x932fae81, 0xeaf4233a, 0x54855aeb, 0x45dbdd7f, 0xc5af64eb,
+    0x8bd054be, 0x24eec780, 0x575ae55d, 0x3225653b, 0xb2e197b4, 0xd2a1de76, 0x37e92bca, 0x83ac5254,
+    0x78aa8700, 0xd274dd60, 0xd9b43cb0, 0xdb76a2b8, 0x8ec66229, 0xb1d214b8, 0xb6195665, 0x6f079f25,
+    0x1a7169f1, 0x2184957f, 0x90542296, 0xe6327a4e, 0xc9da8cd6, 0x91e1d005, 0xa6291371, 0xd2602ff3,
+    0x2f7f3e01, 0x768548c6, 0x7fe695ea, 0x473737e1, 0xc5f86f8e, 0xb1863686, 0xf7bd4e23, 0xdd29bb1f,
+    0x6087317f, 0x88e792b9, 0x8fd9777e, 0x05d9c780, 0x54cb322b, 0x858e6110, 0xf4bf2533, 0xabf387a2,
+    0x146585fa, 0x0ef349dd, 0x13a48754, 0xdf334ae7, 0x05882c9d, 0x251550aa, 0x442b0d12, 0xf4a5dcf2,
+    0x9a982ff9, 0xc5b1c8cb, 0x39e9cfc9, 0x8a4b8b23, 0x8985df8d, 0x553b258a, 0x0b6d6559, 0x48f2278f,
+    0x48d400f9, 0x1e747d7e, 0x3760d4ad, 0x03d1677d, 0x700846d0, 0x1ad203cf, 0x10054bfb, 0xab0da74f,
+    0x5d9af368, 0x7fa1ae15, 0x0683aefc, 0x0005ec2e, 0x455108f3, 0x9e58e623, 0xa69a0da6, 0xee41db3b,
+    0xcd39cd67, 0x6ce1db7a, 0x5fd33667, 0x798a0b55, 0x1855bf2d, 0x13aa4b9c, 0xa1cb8eb3, 0x752ade30,
+    0x4e97dca2, 0xecbda429, 0xc677018c, 0x1a15befe, 0xa1b060f2, 0x9d177593, 0x854910ab, 0xa257b0c1,
+    0xb9beb612, 0x7315d1e5, 0xf8b44eaf, 0xd6996c02, 0x972a0b48, 0x95a4fdf1, 0x7969c108, 0xb4daa40f,
+    0x00000000,
+    0x9ebca11a, 0x49c52f42, 0x5c1db415, 0x1622ae0c, 0x2f99af02, 0xf7d187a6, 0x16e49537, 0x1c84c52b,
+    0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000026442238751609943958076612321310841593136187318\
+                          57124877138595181097623164945245383300756841758861139390364848100093433217024 */
+  { 0x00000000,
+    0x9a08ea3e, 0x043f409e, 0xc9761071, 0x7fc9dcb1, 0x679d0a77, 0xe4306c4d, 0x6ca9019c, 0x62616ff3,
+    0xc41ce2d9, 0x70f6da1d, 0x629297a6, 0x2290c59d, 0xcbde19fe, 0x8a2ac268, 0xa8341ad0, 0xa63ff5ca,
+    0xc4d210bc, 0x944f38f8, 0x65adcc4e, 0xff2497b9, 0xf0a2dbcc, 0x3709e966, 0xc712a042, 0xf3367cbd,
+    0x2c033eff, 0x3cd02bb7, 0x2df10a0b, 0x063fca96, 0xf9c1d116, 0xcbf53b79, 0xb596f5d7, 0x2ba79ee1,
+    0xe3a551df, 0x3ab4883a, 0xf4cb04c2, 0xf0ce6bb7, 0x62aa7466, 0x51f65ca9, 0x8f99420a, 0xb43ecc26,
+    0xea6ca9cd, 0x6a3f819e, 0x47267a7f, 0xc0dec1b4, 0xf589957f, 0x09d73ca3, 0x70ba62ef, 0x25819efd,
+    0x9f17c1c6, 0xb066c5bd, 0x045a0702, 0xce09f027, 0xf81f25c6, 0x4475829f, 0xd23bdedc, 0x16656124,
+    0x9dd38a77, 0x7cb78a06, 0x671f0be3, 0x906a73c1, 0x6e17e07a, 0xfd47430a, 0xd4e52629, 0x27fa3bc0,
+    0x5b45b309, 0xf571bd94, 0x1a5123d7, 0x2f32ab0f, 0xec6f401a, 0x56f28dfb, 0x9223621c, 0x8b2c30fe,
+    0x86cb0aa5, 0x174ed445, 0x98d10715, 0x7d660649, 0x1d59391c, 0xa3adeac9, 0x29219e09, 0xc602f83a,
+    0x61bdd3b6, 0xdc03ee55, 0x1fc04620, 0xef430c14, 0x7e6a27d3, 0x09b0d98e, 0x319c911e, 0x6329c429,
+    0xb6dad268, 0x5de1f5d4, 0xafd9e608, 0xbad49043, 0xe931b23f, 0xea69d13e, 0xed9e5391, 0x8fbe9c7f,
+    0x637c5bc7, 0x6399b8d6, 0x451e9260, 0x16b3984a, 0x7dc4c376, 0x18f868e3, 0xd44abae1, 0x981181a1,
+    0x6f844040, 0xd930b16a, 0xaa41eca4, 0x5cdd632f, 0xc1eb6ba7, 0x3daf2d65, 0xfdf88002, 0xd80c60e9,
+    0x10563dc4, 0xf3efd602, 0x769eeaac, 0x609ae102, 0x3c06b1c3, 0xa4bff2ac, 0xe3cf8ede, 0xd4e185b6,
+    0x88c3149f, 0x7d95f235, 0x1f66fce1, 0xa26675f6, 0x137b5588, 0x3d9a693e, 0xc9268a62, 0xd380d888,
+    0x1b548148, 0xb68cb685, 0x2f414c43, 0x48fda84b, 0xa0fdc14d, 0x90cca952, 0xd407b548, 0x300ab32b,
+    0xcd6d5ac6, 0xac3fbced, 0x984ddd62, 0xc5bbb87c, 0x8facd023, 0xc7b07162, 0x5e41e4e3, 0x540901dd,
+    0xc262f06a, 0xad906ca5, 0x83c98048, 0x59174b9b, 0x3a27c92f, 0xd1201a9f, 0x13263876, 0xb1881f9a,
+    0x010c66c2, 0x3a37649e, 0x6b02ed8b, 0x534425db, 0x4e02380f, 0x6e1fd39f, 0x74299a97, 0x35555076,
+    0x584aedd1, 0x4c56517b, 0xb921877e, 0xe4ee33ad, 0x87985b6b, 0xa73d9b14, 0x4cce7c38, 0x317e11a1,
+    0xe35d630a, 0xb9012b99, 0x2031fc23, 0x6cec60fe, 0x3974ffcf, 0xbfe82f45, 0x72c175b9, 0x93468698,
+    0x2c98ee2b, 0x929bd522, 0x869c68f0, 0xf94c425b, 0x706ec4aa, 0x13ee2c7d, 0xb09cebbe, 0xf603d5cd,
+    0x429ce8e3, 0x4f6e2c36, 0x8256f7b6, 0x1b4d7596, 0x6ca5fc16, 0xf393d848, 0xb0d683fb, 0x8987dbdf,
+    0x8477fe22, 0x18d5a77a, 0xf0a7d946, 0xc1122cb5, 0x0a372392, 0x3a21915e, 0x65510c83, 0xe811ff65,
+    0xa11fad0f, 0xa5e0cbae, 0x6d5c2633, 0xb640d745, 0xfc21960c, 0xc73b9e30, 0xc5e0550d, 0x0a133f0e,
+    0x68116d8e, 0x0b294d5d, 0xb3662b69, 0x330df546, 0xb563a46d, 0x783369f9, 0x0b0d2baa, 0x330aea38,
+    0xdf88e918, 0xa4cfaf06, 0xfc9476d6, 0x2969de14, 0xcd841683, 0x0d79e57a, 0xb564422e, 0xa9c17521,
+    0x098b692d, 0x471e0771, 0xad2f1630, 0x1afd5787, 0x9c053fb4, 0x9a8b2838, 0xb4fe0b6c, 0x11a8a0a9,
+    0x7a585652, 0x1d1f12af, 0x70881ae2, 0x8caa1757, 0x47d33d19, 0x2ec9e8d3, 0x23418432, 0x4aa6ed30,
+    0xf640e007, 0x231b471d, 0xa35be8ce, 0x8cb113d1, 0xbf070b27, 0x8ba805fe, 0x5b49c080, 0xf33698de,
+    0xdc5a1590, 0xcbc176cd, 0x6bc6bed5, 0x1fac458f, 0x3097270e, 0x3ae80df2, 0xbf9e4080, 0x59eb06de,
+    0x082d2af6, 0xfc0c5f7c, 0x0d427da8, 0xd10d13f5, 0xd71f0fc2, 0x446b1c80, 0xc5e02196, 0xcd7ac222,
+    0x8c06fd99, 0xced0c1d1, 0xd06ba684, 0xa6f3a2b9, 0xf28ffb2e, 0x676ac3a7, 0xf12d1013, 0x7af472f8,
+    0x50b60394, 0xb0a20d82, 0x2804d027, 0xe46e8d10, 0x09eea311, 0x2e8751ae, 0x2c1f32ad, 0x06adea7e,
+    0x91c1ab04, 0x3dcf8b77, 0x64df8eab, 0x183f3675, 0x70fda681, 0x9e6773fa, 0x21c06e07, 0x8977adfa,
+    0x1246ac61, 0xba8a6a48, 0x53960fdd, 0x5fcab61d, 0x3fd8b6e4, 0xf5cdf64a, 0x6879ee3a, 0x80013a65,
+    0x4241c6aa, 0xc02c48f9, 0x26745f70, 0x63943b0e, 0xdee49d7f, 0xda25052b, 0x4216a0ac, 0x6f51ea20,
+    0x133dd206, 0x22fca166, 0x053e5dd3, 0xc86f456d, 0xbf49ab2c, 0x43c7c04c, 0xea18fff8, 0x0736a9b3,
+    0xb5da3f40, 0x6ae0d286, 0x2d32e63d, 0xd1e1f4f4, 0xe09de5d3, 0xd9dde68f, 0xb33784fa, 0x04f24c65,
+    0x0e99e391, 0xc30be296, 0x25f08e3e, 0x024b215f, 0x184c0d0f, 0xdd5a2c92, 0x4e0f44a2, 0x096b865e,
+    0x2c22aac4, 0xb165bace, 0x567aa09e, 0x01418a7b, 0x91e46407, 0xc6bca7ed, 0x4feb73a8, 0x8ed5f1c3,
+    0x5b0495c2, 0x633ec25a, 0x020f3554, 0x389025fc, 0xebee46c2, 0xd291afc7, 0x3cd153ba, 0x1641fecd,
+    0xae15dc8d, 0x01f3e803, 0xdc5844d6, 0x5570d213, 0x31a0d110, 0xd17abd11, 0x3052716a, 0x322a1d66,
+    0x8c39ab2f, 0xd982ec3b, 0x8d9edfa6, 0xc3aef344, 0x069e6122, 0xd39bb6d7, 0x6f8207f7, 0x6220e85d,
+    0x89b31858, 0xa0493325, 0x9122aae6, 0x93b23984, 0x11f316c1, 0x6c97e022, 0x71bc3191, 0x05aa45f0,
+    0xdebe0ba3, 0x4be93f4f, 0x4ce23863, 0x790f1cf7, 0xe02b906f, 0xd3e91f93, 0xc5b180a9, 0x88a90539,
+    0x9f10202f, 0xac793443, 0x42f5c34c, 0x78ab18d4, 0x8d5ba1ec, 0xe143c764, 0x9d3a95fa, 0x8d7e5619,
+    0x016c8267, 0x02dd1e62, 0xf07d022c, 0xae844c56, 0x642d3180, 0xd1b61e08, 0x7c29b65e, 0xa5772d70,
+    0xee49a9ef, 0x537a34da, 0x5cbd066a, 0x0f2dce0b, 0x2b60d247, 0x72ee18fb, 0xb132cb50, 0x6f16c9a5,
+    0xcaceb93a, 0x25acbee0, 0x81519e71, 0xcc091921, 0x8af0c86c, 0x52e9373e, 0x3ea682bf, 0x6192a30c,
+    0x2b40e68c, 0xd5ab0970, 0x4feb3359, 0x422a8627, 0xe81b4318, 0xe4fe58f6, 0xe7f2da99, 0x5242acfb,
+    0x46f4d226, 0x6a135f73, 0xc8fd5424, 0x01fb4f98, 0xa993f161, 0x243355f6, 0xb5e7df2d, 0xe2f927ae,
+    0x1cb5332e, 0x2e5843f7, 0xe672cc3a, 0x5d71b12c, 0x01625aa1, 0x60306098, 0x6c1249d7, 0x52701df2,
+    0x1cce3f70, 0xa71dde69, 0xbba5dd1f, 0x2c7e7755, 0xa76e1d7b, 0x59463fff, 0xf2f428a2, 0x12db0437,
+    0xbc45662d, 0xf7bdc8fa, 0x1199010c, 0x4ebf659c, 0xd5f324b4, 0xd2566d25, 0x0155dc8c, 0x5c260999,
+    0x136e1db9, 0x8448d164, 0x2190f785, 0xb85d9949, 0xd1ca8ce3, 0x9354309a, 0x5ae3af96, 0x95ab02c4,
+    0x89e53989, 0xfa3769c7, 0xe7034cc9, 0x5e203cf3, 0x3b58337c, 0x32177b18, 0x1add8139, 0x9c2140e6,
+    0x45671351, 0xbc614a02, 0x62b643d2, 0x964fdb90, 0x0d7aab81, 0x5192b21d, 0x9e0b72c2, 0x6e547dcf,
+    0x24d86b83, 0x536b4434, 0xaf8922a6, 0x53d07caf, 0x95b835d1, 0x75b29684, 0x386e1c32, 0x3fb46c7b,
+    0x741f90b6, 0x834e7a0d, 0xb94d0b19, 0x04418da2, 0x7b795772, 0xa11945c6, 0xa4170481, 0x33b56290,
+    0x8408dca0, 0x7fc173c8, 0x81bd9517, 0x632ca88f, 0xd43b06b9, 0xfed93a57, 0x016cbfe2, 0x947e624f,
+    0x5b6f10ab, 0xa5dc9b95, 0x7bb05ebf, 0x55b0b8da, 0x49d587d0, 0xa2162591, 0xb1622424, 0x04147c5c,
+    0x5f08179e, 0x8f946716, 0xdd52be06, 0xe58c636b, 0xff6820ac, 0x5de79b7e, 0x381b166e, 0xbab6c91f,
+    0x08100542, 0xb4f9d01d, 0xc49cdf33, 0x6b46bc84, 0xc021a9be, 0xbf819a88, 0x9c07fd76, 0xa1dac6c8,
+    0x7bb07e69, 0xbe2f12f9, 0x26bd9e27, 0x001413bc, 0x4f1b2e7a, 0x9cb9daa7, 0x4d4fe8b7, 0x29fd53d6,
+    0x935017c8, 0x67780c05, 0x6f4fcf32, 0x35939981, 0x4d220ce0, 0x6b2a4444, 0x8d3f6e34, 0x7bf9de3e,
+    0x76ed61b8, 0x511f630b, 0xb45da6cb, 0x68c187c0, 0x4632b2be, 0xc358574a, 0x2f1fb02b, 0xb1e61c2a,
+    0x3e69065f, 0x348bc2db, 0x1f6095fa, 0xa84b2f6b, 0xe09f01ed, 0x90577b5e, 0xb3a4d5c1, 0x500e7731,
+    0xc6cbdadb, 0x170dd8a9, 0x84bdcb08, 0xc3ddff42, 0x5a5921fc, 0x02c995fb, 0x08c26995, 0x5573507f,
+    0xfed83832, 0x778a80b8, 0xfa2a403d, 0xe349b143, 0xf1c13982, 0xf04d8dad, 0x646617d0, 0xb097105e,
+    0xda120b61, 0xd35a1096, 0xb51f9faf, 0x25653dcf, 0xbac19ad9, 0x56baf54e, 0xa922da9a, 0xcf133a05,
+    0x8944caae, 0x70ce2615, 0x3baf0ea6, 0x44d86be6, 0x26dc247a, 0x5f338015, 0x113279af, 0xe2401abc,
+    0x328c1e7e, 0xb8da25fb, 0x0787cec9, 0xbbe23e7e, 0x7ba7db4f, 0x85497a03, 0xac0e0e16, 0x348e0f03,
+    0xd74ac1f3, 0xe573faa1, 0xae47c3da, 0x508a111f, 0xb89e578a, 0xc4f60bad, 0x69ff036b, 0xfe7ec302,
+    0x94d9b915, 0x30a4ca03, 0x0124d13d, 0xbd427ccc, 0xd70f5e17, 0xfa2b2f7c, 0x2c542dbe, 0x2278b1f9,
+    0x543c2f4c, 0x81b8ea7f, 0xe29ea801, 0x4c9495fd, 0xb6d0949f, 0x3618d97b, 0x18002812, 0x7948f259,
+    0xfe24c285, 0xdfeaa1b9, 0x12777b2b, 0x99b92a88, 0xaaf23c7e, 0x160e5a68, 0xf1783a79, 0xedde3c0b,
+    0xc3cb456d, 0x181e8955, 0x1dd68564, 0xbe4a9dbe, 0xdf81876f, 0x58c4163b, 0x16385bda, 0x72e18fbd,
+    0xe07f7092, 0x87ba83cf, 0x94751a27, 0xeb07c5f3, 0xbb0a19f6, 0x9e0f956a, 0x81d76fe4, 0x0baf8b82,
+    0xf2863d5e, 0xde954416, 0x452f6081, 0x0f8063b8, 0xe0c0575a, 0xa3d88c78, 0xba1d8ca1, 0xb929dd2f,
+    0xfd133c41, 0x61946440, 0xa1b546eb, 0x21dd6071, 0x5c25a33a, 0xc01d5e26, 0xa10386d4, 0xd736f01f,
+    0xb12195a9, 0x530a6fb0, 0xad443244, 0x85b0fc24, 0x14a91222, 0x5d8fadfd, 0x4b26bde6, 0x1acaf0c8,
+    0xdc8edb37, 0x8c9b993b, 0x8948c6ba, 0xffa9f811, 0x077160d6, 0xcc6e7fcf, 0x421a878d, 0x2c717f54,
+    0x2f53fff7, 0x8bd005a2, 0x04d5e800, 0xa0fea0f0, 0x6c37db8f, 0xd0754edd, 0x4fad1622, 0xe5b8e48e,
+    0x9abdaa7e, 0x9052583f, 0xd646310f, 0x6f2cb912, 0xa77229cf, 0xb5f5d291, 0xd13e90c9, 0x11b956fd,
+    0x1009c5c2, 0xe411d0db, 0x64de7517, 0x7efd33c2, 0xb97064e5, 0xfa476ad7, 0xd2b7d9a6, 0x9e7e1aec,
+    0x1e1674df, 0xaafa0ce5, 0x1112d56e, 0x85ae38fc, 0xee716fec, 0xcd2e5b53, 0x6aca3d58, 0x48dbff0e,
+    0xcafc8331, 0x23cfc539, 0xd1ed25de, 0x7555beb2, 0x82f31cd6, 0xf92ca4d0, 0xd01efafa, 0x34eb32e3,
+    0xc2e1c8fd, 0x846ca5d4, 0xdb367d02, 0xa947e899, 0xa1b72c15, 0x12d07f2a, 0xca2d24a8, 0x8ab56174,
+    0x10b752b6, 0x5d86738c, 0x51aa4050, 0xd84fe4d3, 0xbd967ad5, 0x3a402e22, 0xe74fd3ce, 0x7fbbbc21,
+    0x02aafa83, 0xcea1b774, 0xb79817e9, 0x100d3906, 0x8d599299, 0x3859e339, 0x678d731c, 0x03a20f65,
+    0xe3522093, 0xe9801825, 0x0169fe81, 0x37c0b898, 0xf3ce4e23, 0x9d435d26, 0x0caa529c, 0x9f681720,
+    0x5a5149bb, 0x9b3e5119, 0xb4017504, 0x0ec0df63, 0x159bfae1, 0x1d79716c, 0xdd6760e6, 0x2aa270a2,
+    0x0dd0f468, 0x0c454d38, 0x6f00a9b0, 0x51852dd5, 0x286bc077, 0x4d842031, 0x4824150d, 0x2c2eb749,
+    0x6a0cd9cb, 0x418eb886, 0xe133c7cd, 0xd76a68be, 0xe7f3c095, 0x15b52da1, 0x2a57e131, 0xf9a3e0f3,
+    0xd3f6bded, 0x414b7bc8, 0xbae1d95b, 0x71ae914d, 0xece3e413, 0x21e9ca5e, 0x28922fec, 0x574bb077,
+    0x0abf35fb, 0x653ce1d7, 0x5671666a, 0xcab21f45, 0x0eef17ad, 0xa0f4ce37, 0x95b47b3e, 0x67b94227,
+    0x3c805708, 0x1b274b0c, 0x55b92a70, 0x8ed3f30a, 0x4110537f, 0x80062954, 0x9549ce8f, 0x9fd5a52b,
+    0x67049050, 0x4a4e8bf3, 0xfe894554, 0xd359294d, 0x47acf767, 0x5b4ea878, 0x41d9237b, 0x8085c6e9,
+    0x40cfe73a, 0x17c7272f, 0xb5058bb2, 0xe4956cb4, 0xffb7440d, 0x8d8207c1, 0x50efa7d8, 0x73cd4cb5,
+    0x7179fddf, 0xd251d892, 0x3e2d107f, 0x6894e868, 0xb7c5b51b, 0xd596eab6, 0x1085382f, 0xc6c33ee2,
+    0xd6f89b97, 0x126e4146, 0x9beedf21, 0x9129e61f, 0x86583a7b, 0x4e5bd302, 0x1f304dc2, 0x7a49eb5e,
+    0xfbc3bfca, 0x2352eac1, 0x0aab181d, 0x9f99e33e, 0x7258bd7a, 0xf14d03bf, 0xccea90d4, 0x237a8ad5,
+    0x575d482d, 0x78ce5523, 0xbe75cca9, 0x6bf34cd6, 0x1ffd2dae, 0x0409cce6, 0x94ea22d8, 0x37b8699d,
+    0x3cddebb6, 0x6310cc2b, 0xfb9e4541, 0xfd5a58b6, 0x67d132f8, 0x374a415d, 0x3d97e69e, 0x2d57e7c4,
+    0xcc6b990f, 0xd02d47b9, 0x5372eb32, 0xa6731895, 0xe1657c01, 0x71e2102d, 0x85a88802, 0x6e13dcf4,
+    0x421755e3, 0xd3570d0a, 0xe3e852d7, 0xb3aa501f, 0x7f4c94b1, 0x2646e981, 0x6e189fe7, 0x953937dd,
+    0x98b194bd, 0x8c2b7fbd, 0x85d6cad0, 0xf67cd63a, 0xb8283af3, 0x216abfc6, 0xa3405e11, 0x6e306d13,
+    0x35b0ab9b, 0x64a216ea, 0xf9794a11, 0xb0f83ad2, 0x668b1e8d, 0x05e87c3f, 0x804db574, 0x19017293,
+    0x1c686061, 0x0b1b857d, 0x06b463fb, 0x955ae72b, 0xdc831b10, 0x6bb54db6, 0xd0740160, 0xbae211aa,
+    0x881083b0, 0x5d751213, 0xe406b1ed, 0x34ce8ea0, 0x9db8a03f, 0xf59fff31, 0x3160da9f, 0x48872254,
+    0x59b82a09, 0xf1c09d65, 0x5ad42b46, 0x40cd4893, 0xe374b7f4, 0x40db1278, 0x1df0f0c7, 0x632d0264,
+    0x5f17dfc7, 0x6a9a8956, 0x23165740, 0x695991ad, 0x245cde5b, 0x742a2cc4, 0xd7428c10, 0xcf3bca49,
+    0x196194ae, 0x4959a35c, 0xfc01f4b4, 0x859fe6a7, 0x24e84d68, 0x87091fdf, 0x05c70799, 0xebb2f5d6,
+    0xc5aa75df, 0xe3691df6, 0xffd6fb5f, 0x288710f8, 0x43fb0950, 0x7d7bf372, 0x35a6caa8, 0xc75bb55c,
+    0x7352a828, 0x9a6fb563, 0x5c5439b9, 0xd4be582a, 0x35ebb449, 0x6106d466, 0x46d9a84b, 0xc634ea24,
+    0xf035d165, 0xc832da49, 0x05fd12ce, 0x187c767b, 0xb1828d6c, 0xa2465f0a, 0x0ef785fd, 0x72ae41b1,
+    0x67120382, 0x366cf217, 0x6f2beb0d, 0x6c29222c, 0x10f38031, 0xc89df86a, 0x140ce406, 0x5dcc95e4,
+    0xe3b90620, 0x56fa0b64, 0xf92ee255, 0x59255d29, 0xa9cb697d, 0xdd066fbc, 0x2e998e93, 0x43e636a9,
+    0x5343e5f4, 0xdc2c950d, 0x5d4098fb, 0x2d9ae628, 0x4e1dcd4e, 0xd4535143, 0x04f3576a, 0x173aca7e,
+    0xaf545d5e, 0x01fa3b78, 0x77594b26, 0x943bc0cb, 0x2f37a3eb, 0x8b8dff2c, 0x1fd70635, 0xe39bfe3b,
+    0xcbb09a57, 0x59e73df8, 0xe5e41a59, 0x8f6599b6, 0x98776548, 0x4f8c6e91, 0xab1863c4, 0xf242d4c2,
+    0x9d416d84, 0x43ab0e6b, 0xfe9955c4, 0xf5b74095, 0xf51eb907, 0x151d4455, 0x336fecf8, 0xdb8a8b98,
+    0x21755ae6, 0xc116b529, 0x9b749b2f, 0xe598091a, 0xcd52fc28, 0xbbe20d7d, 0x9229d609, 0x2a3cb309,
+    0x64f11854, 0x40179194, 0x320f236e, 0x8acb48ba, 0x3e82a872, 0x8c8664dc, 0xf54657a2, 0xd72bd315,
+    0x00000000,
+    0x4f5e508c, 0xa4e297a1, 0x2e0eda0a, 0x0b115706, 0x17ccd781, 0xfbe8c3d3, 0x8b724a9b, 0x0e426295,
+    0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000013221119375804971979038306160655420796568093659\
+                          28562438569297590548811582472622691650378420879430569695182424050046716608512 */
+  { 0x00000000,
+    0xc54588fb, 0x50caa638, 0x41506094, 0xd8e4d056, 0x6d8a5e25, 0x43259458, 0x464e6a1e, 0xe9e1a4c4,
+    0x8d3ef88f, 0x2087330f, 0x51871863, 0x95a7149f, 0x45afdbe3, 0xfa67d617, 0x06a946dd, 0x0fc52c7a,
+    0x34bf8836, 0xa864d7ae, 0x29d7ded8, 0x14c99491, 0xf61e8d72, 0x3ceb2b36, 0x33742ae9, 0x1158389a,
+    0x05b89879, 0xaa7549bc, 0x5d7f9153, 0xefcbbcc1, 0x648de38d, 0xf35a4321, 0x17542487, 0x5e05dfef,
+    0xc225bbe3, 0x5cea6869, 0x29794d7a, 0xefa53dc1, 0xe5e327de, 0x9b678f4b, 0x2cf72094, 0xea5ffe96,
+    0xb0059cb5, 0x303cf194, 0x41f3a3b0, 0x3564d911, 0xb19c43c5, 0x01602492, 0x8a89f60e, 0x4930be8b,
+    0xd398280e, 0x6567b6e1, 0x0b8f1849, 0x166caeaf, 0xfd8d76b3, 0xc834362f, 0x96580514, 0x634de103,
+    0x5bf95045, 0xc5ca25c8, 0x3b108084, 0x309282d0, 0x72f14db2, 0xee306cce, 0x18b0ff90, 0x36bdf023,
+    0x469e8821, 0xe80f22aa, 0xfc1d1b25, 0xd08254a8, 0xe9a82a16, 0x9209da14, 0x402bfda4, 0x60cbbdfd,
+    0x590ba895, 0xd05f04ed, 0xa1cf3025, 0xcd7449f1, 0x7d163017, 0x200bb5fd, 0x867bb4c0, 0x5a62f160,
+    0x3d8a5cba, 0xd039b791, 0xc067728d, 0x6fc4926e, 0x00a4c690, 0xdd699303, 0xee9969ad, 0x66a3a5a6,
+    0x082169cb, 0x07a67dc1, 0x7db147e7, 0xd6802a60, 0x4179d515, 0xe234a745, 0xca2c3f88, 0xaf8a2d1e,
+    0x11e94f62, 0x920d3f00, 0xe51cfad7, 0x7a7cd3bd, 0x9e770a5c, 0x77a6fe49, 0xf51880eb, 0xbad60950,
+    0xc862092d, 0x1e823400, 0x796312d6, 0xad46200a, 0x9a8b9809, 0x81aadf84, 0x78a5dd5b, 0xd5343e5f,
+    0xce679060, 0x2745b8a9, 0xad1237e4, 0x19683f25, 0x7ee398db, 0x06f0b2f6, 0x7e39f381, 0x01a11a95,
+    0x0bc3a18c, 0x35731ed8, 0xaa4f8c9d, 0xb772766e, 0x569d4b76, 0x6f8b0311, 0x29549c83, 0x6b1a48df,
+    0xa9388363, 0xeb70c60a, 0x5f7a3059, 0x354e2cdb, 0x1905b752, 0xb2ab628b, 0x0b4a2fda, 0xaa89030e,
+    0x9a7da452, 0xd02245ff, 0xdfc1fbc6, 0xf6ab9e06, 0x8a0cb797, 0xd9a55fa8, 0xc02ab71f, 0xb0df1333,
+    0xe3c61f5c, 0x0bbc4b6d, 0x59dd0d16, 0x83ed1e93, 0x5d171508, 0x14c9573a, 0xa9268777, 0xd61bef5e,
+    0x8c739327, 0x73a55e6f, 0x979827ab, 0xc1812f09, 0xafc25fc3, 0x0a0a1c68, 0xf1c80d9c, 0xe78c409e,
+    0x0c9263ef, 0xb0c7897d, 0xbbb0adeb, 0xc9d74a62, 0xb37fb49d, 0xd1dbf033, 0x05174a79, 0xb74a7a2b,
+    0x1383fc3d, 0xbafc2952, 0x1bfe0ee2, 0xb2f86669, 0x6f9eba54, 0xd0c67b04, 0xe7570913, 0xedc87569,
+    0x37ded546, 0x3856484b, 0x9837a7b3, 0x9edaef53, 0x14ec89e0, 0x4ead6f9c, 0xac32f921, 0xc88c4e41,
+    0x6f68b5fe, 0xc508b116, 0xb04b01dd, 0x0b27fbd9, 0x8fdf380c, 0xd2d7383f, 0xe679b0e7, 0xd28557f3,
+    0xb1a72756, 0xc0ad83b9, 0xe399d197, 0x9b488cdc, 0x3d4e666a, 0x1e6315e7, 0x336f251d, 0x56326066,
+    0x7fb4df75, 0x1d58e727, 0x250d03e7, 0x96349e68, 0x3803f137, 0xd6d80e54, 0x1c7a9bd1, 0xa7823d8d,
+    0x9ecf20b4, 0x240414bd, 0xac2c5bf1, 0xabcd5ee9, 0xfac2777d, 0xdaa7365a, 0x32d618bf, 0xa37cbe38,
+    0xe661fe72, 0xd926ec29, 0x401f2351, 0xa00e56db, 0x765531ba, 0xec50c97b, 0x389f6cce, 0x4170cbd5,
+    0x3302ec34, 0xc1f7c1c4, 0xba7358d9, 0x54020e72, 0xc8320b76, 0xd9e51c90, 0x4e269559, 0x265384bd,
+    0x7328fd80, 0x3706f4c2, 0x094c08bb, 0xcfb299e6, 0x952d6e79, 0x7416be63, 0x5e24f4aa, 0x9036432b,
+    0x4ce568e8, 0x85627050, 0xe6f04b0f, 0xeab74497, 0x82745919, 0xc4fa4651, 0x6b22a80a, 0x28f96d2c,
+    0x696916df, 0x87a1e9b8, 0xcd8f6cb1, 0xb24e3084, 0x1cd58426, 0x15273bce, 0x529f7685, 0x62f226c1,
+    0xaef0d71d, 0x2cbbc182, 0x0298367a, 0x5b10e9aa, 0xcd71160b, 0xae0d90b4, 0x8ffabb27, 0x95da11db,
+    0x63946ae7, 0xd14c853f, 0x1379a83d, 0xf48ddba9, 0x5990d643, 0xc508615c, 0x3a614e3f, 0xf0ca9abc,
+    0xbf8e50ff, 0x8c28d35b, 0xc86eea49, 0x18aa1acb, 0x7a8dc5d0, 0x2a966441, 0xe290ecbe, 0x1f76e934,
+    0xfb1e04a2, 0x7f3b2c95, 0x841fef38, 0xf7bcf25c, 0xb8d9f0ad, 0xf2e3f3a1, 0xbb3354c9, 0x41f4a622,
+    0x1c1138ba, 0x85f95a6d, 0xdfcbfc1d, 0xb8c6d558, 0x5284a493, 0x1e81826f, 0x38101180, 0xbdcce9e5,
+    0x7503aaae, 0xc21a2ed0, 0x14663aa0, 0x2f510442, 0x4f2ce8ca, 0x488eae4e, 0x8e95b5b5, 0x29a11580,
+    0x87d55d08, 0x16e1b2e2, 0xdb6d1694, 0x79eef14b, 0x96d269d9, 0x7866301e, 0xd014f679, 0x900dbfe2,
+    0x2b38ce19, 0x3e0bed49, 0x2c21c718, 0x3b96934c, 0x0f643cbf, 0x3f64af03, 0x32cb5f85, 0xe6629014,
+    0xd2623f5b, 0xbf5f397b, 0x0ebb0c41, 0xc83f0faa, 0xdefe8585, 0x47e463bc, 0x3a3a8ccc, 0x03e8b37c,
+    0x4b347eaf, 0x8152c002, 0xd5e680df, 0x3e32cdea, 0xfce592ca, 0xc368754b, 0xf7c990ae, 0x441fb8a9,
+    0x4345930d, 0x97ee1afd, 0xf4f2e0e4, 0x3eea12f3, 0xcc6a0a1e, 0xbb893b1b, 0x6a3ffb14, 0x42449668,
+    0xd7ce5028, 0x62e4f569, 0x60787507, 0x4c54c6c0, 0xe67d966d, 0x4a8d39b5, 0xd87ddc0d, 0x2ba9b077,
+    0x0ebdd0e8, 0x004be782, 0xb556879b, 0xaaed71a5, 0xd1229400, 0x282ac791, 0xe483d0de, 0x2d850aee,
+    0xc64de1c3, 0xae0332bc, 0xeb331331, 0x7bb043e6, 0x0af61d74, 0x8b6206f9, 0x914ca6df, 0x1657e50d,
+    0x3df8103c, 0xa3a76fdd, 0x56a63437, 0x870dea10, 0x3dda38f5, 0xb919af32, 0x9581e75c, 0x0451c1dc,
+    0x50c2989a, 0xe910f065, 0xa15ca952, 0xd0615b74, 0x2e8bbc58, 0x03ba7fe4, 0xdb55ade8, 0x8681ec0c,
+    0xe439c10d, 0x0c0f2016, 0xe7c18e35, 0x96120544, 0xe45e3667, 0xd4f3cbeb, 0x64bc4fb6, 0x9b3cac63,
+    0xcb609b68, 0x55a646d1, 0xd81e06e4, 0x2292aaba, 0x5a46a0d1, 0xac05293d, 0x376872dd, 0xec1f4d57,
+    0xdee808de, 0xa92d5bd0, 0xdf5b1fa2, 0xa2af364c, 0x65680cf3, 0x56de17f0, 0xc613f7fc, 0x53f66d04,
+    0x54f84d72, 0x71d24558, 0x4bc9cc0e, 0xd937716c, 0xf0734b5c, 0xdfa36d14, 0x37c6764b, 0x0c983dfe,
+    0x89a21e5a, 0x5efb7fc9, 0xa7048d1f, 0x1efd3367, 0x3e1aee1b, 0xc9fbd1b3, 0x0de11c83, 0x0a569806,
+    0xa4c7b526, 0x6204ca6f, 0x2479cc84, 0x73ac8f2a, 0x661a40d6, 0x233e6baf, 0x72700734, 0x2c278cf3,
+    0xadb3abef, 0x0fb85646, 0xd7bffb10, 0x568c526e, 0xd79c5bfd, 0x499e4050, 0x82be1850, 0x28655659,
+    0x20acb559, 0x69911521, 0x7690ec64, 0x1943ff16, 0xa7b5ecf3, 0xe623c32b, 0x90205083, 0xf8c1011c,
+    0x089d2158, 0xd3b24ce3, 0xc38eceb7, 0x3b2a7bb4, 0x42c3f06d, 0x8fc970b9, 0x108e5bc3, 0x090d760f,
+    0xa109d4cc, 0xdb8de667, 0x65e89ade, 0x48b06e8d, 0x6fbf33c9, 0xe488d224, 0x1c25c8df, 0x0fabf78b,
+    0x2e4584be, 0x057c1ef0, 0x86c6b335, 0x2a778045, 0xf4f1cd7b, 0x7a7f21f9, 0xd06762d0, 0x5bd1ed5c,
+    0xc9c44214, 0x142f74c6, 0x4cf9ee35, 0x4854161a, 0xed4cf232, 0x869e3fe4, 0xaf9edc79, 0x0ee402ce,
+    0x6315a8ce, 0x7ddd8244, 0xe30c21bb, 0x8bf025a5, 0xe07a4713, 0x7ea5e257, 0x7a00f5b2, 0x9d7c0a28,
+    0x03b0e578, 0xc0a9e9ea, 0x2da5127a, 0xf8eac809, 0x113ac523, 0xd062401e, 0x7b03b19d, 0x5b592ded,
+    0x868136d7, 0x87c02e60, 0x5593847d, 0x477d5dc3, 0x983c1443, 0x291b606e, 0x7aacb8fa, 0xee69ab90,
+    0xcfdbe2ae, 0x14d5d61e, 0xb2cffe98, 0x55e24bc5, 0x39365274, 0x56fd4644, 0x7bf28cc9, 0xa8b3f821,
+    0x2f218be5, 0x09039ae7, 0x9f498076, 0xa11fbc01, 0xbbfa8898, 0xb0b58deb, 0x98c0bea0, 0x9a227b26,
+    0xdea2da60, 0x18e7d743, 0x660e2a20, 0x5d80254d, 0x3d67b5e4, 0xe83dc62c, 0x2d3db1ab, 0x21169f23,
+    0x8a35f4c2, 0x4c294bfc, 0x0e4aa258, 0x08cc06de, 0x80d03ca6, 0x6f9d051d, 0xc1741c0f, 0xf5ebe5e9,
+    0xe1c65927, 0x77c432c6, 0xb3845427, 0x1f8563e5, 0x8687429d, 0xae4d9229, 0x78bed1f8, 0x15e436fd,
+    0xe53ba6f0, 0x3fc0c629, 0xba09630a, 0xdcea0960, 0xe46ed0aa, 0x2620734d, 0x77f1c7bf, 0xcaf856a2,
+    0x4496bfec, 0x915c523f, 0x7aa6d0a7, 0xe95ffc2c, 0x5a16a8b6, 0x6b7bfe6a, 0xfc5474f9, 0x85723314,
+    0x8fa89c1b, 0x8a7873fd, 0xffa627c9, 0x048f0dc5, 0xd4777259, 0xb4d00763, 0x682524c7, 0xf98218ff,
+    0x807838c7, 0x98203e07, 0x45ee974a, 0x46be8e3f, 0x379814ab, 0xad12d65d, 0x65bb46a3, 0xb5a63634,
+    0x9032810e, 0x82ebfb94, 0xc9357f11, 0x47278ebf, 0xd92c8875, 0xedd1fac5, 0xa7526d9b, 0x04f0c5b2,
+    0x09fde68f, 0xad95d28c, 0x2d821095, 0x32addefe, 0x081417f9, 0x8f9e8909, 0xf0c119ed, 0x35b3dfd9,
+    0x49fed37f, 0x79e87ac4, 0x9ecafe59, 0xe15e1c74, 0xa17ab7aa, 0xeea33337, 0xfc77f675, 0x54883307,
+    0xea42adf0, 0xc2151a5a, 0x56743d0b, 0x3a147193, 0x485818ee, 0x962e6377, 0x45e22421, 0xea0d1acd,
+    0xd9f17d41, 0xaed12f8d, 0x4ea4648d, 0xb86dfdb6, 0xce0637df, 0x950c6449, 0x28eb533f, 0xd976840c,
+    0x7bed5438, 0x369d46cb, 0x0ab1c7c7, 0x1c29b751, 0x0d81d5d3, 0xcfee2a0a, 0xdbeedaa4, 0xdb4f0a37,
+    0x4cac030b, 0x80769d1b, 0xe69f18e6, 0x7cef6ee6, 0x45400ff9, 0xd215ddd5, 0x67d36bf6, 0xa43500c4,
+    0x45c9f028, 0xe63bf0a8, 0xc7355f69, 0x1a44269b, 0xaefba6ad, 0xde403eb5, 0xcdae82b7, 0xad376f50,
+    0xdb29390e, 0x83ad79e6, 0x25d2ca69, 0x3c8826b4, 0x57f7f1d6, 0x22b75ccb, 0xaa64fe00, 0xeaf0dbff,
+    0x2a8ff016, 0x201c2e80, 0xb17b7e6c, 0xac5f915b, 0xcfcebb8c, 0xe015855e, 0x04f44773, 0x4e7870e9,
+    0xd08e28d1, 0x02d9965d, 0xadfabbae, 0x34eb332a, 0x098007f6, 0x1970e744, 0xa6b8b670, 0xeb92ddc2,
+    0x31d6d128, 0xbaacaa01, 0x08835e50, 0x2c22f1b2, 0x38995326, 0x0bd7c590, 0xb3e333bd, 0x1aa3101f,
+    0x1ce1d686, 0xdd38f8c3, 0x519e1912, 0x03cc0f0e, 0x319995cc, 0xf5fdbf46, 0xb8d0e0d4, 0x8fafc65d,
+    0xee99f0e9, 0x348bc401, 0xdc8e6538, 0xcc7168a3, 0xe99ce55b, 0x44999a18, 0x3bf74bf8, 0xa1d1151d,
+    0xe05bd705, 0x279a34d0, 0xdaf10f6d, 0x6940fcc0, 0x3212422a, 0xb0edd92f, 0x7f54a49c, 0x64284cd1,
+    0x5e5a6ca7, 0x0ee6af0f, 0x435c1a88, 0x61faab89, 0x59870bc9, 0xec5bb606, 0xeeef9ca7, 0x97bbcfd7,
+    0x379afc9f, 0x5f7139a5, 0x02024c0e, 0xccda345b, 0x100967a3, 0x9c6f98f6, 0xfff0933e, 0x63bd7c22,
+    0x3f1b8f5a, 0x398f11e8, 0x21fca058, 0xbae24eb2, 0x673516ae, 0x8feb9030, 0x3408d110, 0xb7820fe6,
+    0xd94d30d2, 0x2f26865d, 0x74fc629e, 0x5d7d5615, 0xa9400114, 0x72b10395, 0x2be4fcaf, 0xcaf56c63,
+    0x4fd5b7bb, 0xe2a9d2a5, 0xa186e514, 0x03370f9a, 0x2e26be1d, 0x72376b17, 0x0e52ae8b, 0xea0bc97d,
+    0xcccf5eda, 0xdacd1245, 0x2fd5d744, 0x9db8e83b, 0x88b87e64, 0xdc4d494d, 0xb24e2478, 0x7d6d29f3,
+    0xcbfbc2d1, 0x7750fdaa, 0xcfcfd6a9, 0x025e81fa, 0x94dd0349, 0x2a25e9c2, 0xceb16f97, 0x3b44bfef,
+    0x832ed986, 0xb2ee71bf, 0x8d14c3fd, 0xb34c85bc, 0x058737ba, 0x2398d5e6, 0x2985e4ef, 0x2ef22bbe,
+    0x95f95781, 0x0a29817b, 0x5456fe3b, 0x73086bab, 0xad6aae1e, 0xaaad1d7d, 0xb1a45976, 0x0a957990,
+    0x85d64692, 0x08c4c3ee, 0x316a62db, 0xdba6b5bc, 0x79ad78b3, 0xc7892117, 0xd73985cd, 0x762b0360,
+    0xb03de923, 0xf56e486b, 0xb33a968d, 0x41d25943, 0x6169ae5e, 0xea9770f7, 0x7d6d0fd0, 0xc40bc526,
+    0xa5c1fb73, 0xb18cef5e, 0x877d1494, 0x744b8ddf, 0x971d2d9f, 0xa3975ff2, 0x2ecd27da, 0x9a64afdc,
+    0x13efb134, 0xa9b5c627, 0x3686016c, 0x67138a84, 0xde74a131, 0x704370a9, 0xb0c69b41, 0x316d3eec,
+    0x04d9a1e2, 0x8dd6833c, 0x3c971d66, 0x88f080a5, 0x2070d693, 0xdd7ddb0d, 0xbdfb103d, 0x46550459,
+    0x09029356, 0x01a25318, 0x90bd4c6e, 0xf1b87274, 0xeee9294d, 0x477663c5, 0x172014ab, 0x53dafba6,
+    0xf08f4382, 0xb96725bd, 0x2d63322a, 0x6b995198, 0x556e2fc9, 0x35902c2c, 0xce3d8cf2, 0x9eb338ef,
+    0x2d1461d0, 0x17751645, 0x1c577016, 0xeb60fe10, 0xf118e112, 0x17370832, 0x8220daf2, 0xc605720b,
+    0xe115a09b, 0x6edec09b, 0xeb123a45, 0x8d4da7e4, 0xb3a6f4db, 0xfec06730, 0x53004bd0, 0x6431cbc6,
+    0x0485e5af, 0xacc39f89, 0x7f06ce8b, 0x0b6344c6, 0xd5971830, 0x1712eeaf, 0x7445358c, 0xe373311d,
+    0x1366b455, 0x99a7ef7d, 0x473bedb6, 0x0638acb8, 0x55bb4caa, 0x7a399202, 0xcab839bd, 0x96ced0f4,
+    0x2651ba56, 0x71202602, 0xd0cae26c, 0xcba16fa3, 0x93e4cf5f, 0x61c12b77, 0xc823cb12, 0x3758b7d1,
+    0xa0a549eb, 0xe157c0d3, 0xca54571e, 0xb5528e71, 0xa2aa86c9, 0xfdfb7b06, 0x04ae385e, 0x194ed040,
+    0x4bc87df4, 0xbe660171, 0xb2c2e419, 0xae0443e2, 0x4c6bde1b, 0x1827490d, 0x026abd6e, 0x63b48341,
+    0x8ba6d491, 0xa5954cfd, 0x2fc8630a, 0xc3e536c3, 0xdc9cb91f, 0x41dc9d4a, 0x01980dab, 0x177bc977,
+    0x77f8f568, 0x80dbb731, 0x09cafd2d, 0x75c44c1c, 0x1dd00639, 0xfaa844d0, 0xc0a86ffe, 0x45ab7f18,
+    0x00879d55, 0xf5fa3ff1, 0x16791b7d, 0x5eb8ab10, 0x12525442, 0x4da3790c, 0x16327dd5, 0x21826b44,
+    0xe582c672, 0x48a87936, 0x4a159312, 0x1ce74529, 0xca478259, 0x76edcbd3, 0xd53737f1, 0x307de9a9,
+    0xd80a5ec3, 0x2f47515e, 0x4e5c422c, 0xa84dd4af, 0x5f951931, 0x4628ebab, 0xa0861a00, 0x31f246b0,
+    0xae72f130, 0x12785601, 0x35b246a8, 0xd3a43320, 0x498fbd1f, 0x1eafab01, 0x97f8034f, 0x49fee299,
+    0x66e6007e, 0xb99c8aac, 0xbebc83b7, 0xcab758a3, 0x89064044, 0xa6b043fb, 0x2cc36fd4, 0xc7a971bc,
+    0x9d6a0841, 0x0c1e4273, 0x04cfff68, 0xfca36d43, 0x65f7d618, 0x1d59d1f3, 0x0ae3517c, 0x83c33e94,
+    0xbdedd899, 0x03bddf84, 0x5ca9dda3, 0x2f2baee7, 0x373f058b, 0x74234e17, 0x4683f02a, 0x4b973549,
+    0xe427c6f9, 0x2a5595b3, 0xea7b1ef5, 0x6ef6081e, 0x749b5668, 0x642b1075, 0x851a943e, 0xdc5295f2,
+    0x5f940ca2, 0xf1f79199, 0x050c0351, 0x715bf2d4, 0x89d0b6b1, 0x3300be48, 0x30e9a9f4, 0x755ee065,
+    0x735f3725, 0x9498acc6, 0xdfb8e5ac, 0xc602220b, 0x822a21e8, 0xd15a3a7e, 0x94212f2f, 0x22c9f5e6,
+    0xe661628f, 0x8d24bd49, 0x9a743a33, 0xc1a8fd9f, 0x60d4dd3f, 0x7c9af6a0, 0xb04221ea, 0x1b715383,
+    0x00cb700e, 0xca1f01a0, 0xf7ed8182, 0x3913e615, 0x47f68e18, 0xa118331f, 0x552897b7, 0x2a06fd6f,
+    0xa85daf3b, 0x3e049182, 0x20e7e20e, 0x42074ec2, 0xd472d892, 0x60a624d8, 0x7a3a98b7, 0x4ce34d5b,
+    0x5ac21963, 0x804a8ed6, 0x49290522, 0x2d5be3ab, 0xe09d24dc, 0xe061a713, 0xa7bb0071, 0xeab30e23,
+    0x00000000,
+    0xa7af2845, 0x52714bd0, 0x17076d05, 0x8588ab83, 0x8be66bc0, 0xfdf461e9, 0xc5b9254d, 0x0721314a,
+    0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000006610559687902485989519153080327710398284046829\
+                          64281219284648795274405791236311345825189210439715284847591212025023358304256 */
+  { 0x00000000,
+    0xce79db43, 0xf0c342b5, 0x67097a09, 0x8d304171, 0x07da4e33, 0xbba926b8, 0x7655b3c1, 0x4a4ece98,
+    0x7757fc0c, 0x6f83829c, 0x5574f2a1, 0x16c7f7f1, 0x1fa9a019, 0x3d07949d, 0x2aa1bf35, 0xc77f0490,
+    0x81430c3e, 0xbbf5151a, 0x8c952ac9, 0x9af94562, 0x12cd0d0c, 0x2283a4c7, 0x8c3a896c, 0x8d89248f,
+    0xe7499e6d, 0x410ee9bf, 0xdc8c2f51, 0x8979c352, 0xce2d4318, 0xd7820cc0, 0xf9b4473e, 0x33d9ae94,
+    0x66331508, 0x7be5db22, 0x27d93d5d, 0x0f2b6fd5, 0x0de00955, 0x2b724a5a, 0x03c94025, 0x9659e4b8,
+    0xe3a08d66, 0x8da00daf, 0xdb89547c, 0x2af1be4e, 0x185578cf, 0x56f248a6, 0x2b774c26, 0xaf19aa98,
+    0x7b0d0159, 0x4e62dec2, 0x8c61dbbc, 0x709b2bba, 0x49e2eb6a, 0x92686998, 0xa8597093, 0x17b7b406,
+    0xdd2dca2c, 0x68e9afde, 0x9679c2d3, 0xa4731bb2, 0x4eeb1a9d, 0x80aa1395, 0xf110da0c, 0x05e1648a,
+    0xb4ff5681, 0xbd21658d, 0x7a0981fe, 0x75bc398d, 0xdb469137, 0x64d85e0d, 0xca60763f, 0xb6172d9d,
+    0xe87a6187, 0x70cead85, 0xf692edbb, 0x3de128dd, 0xdea89128, 0x34a36beb, 0xca5263db, 0xdbb060f1,
+    0xf2731f4d, 0x79e99fe2, 0xd15023da, 0x2a665358, 0x324e2279, 0xbd72d5d5, 0x2e7d36c7, 0xf90c7200,
+    0x3ccec531, 0xcb2644f3, 0x86b499ca, 0xf45164c9, 0x69954614, 0x755b1615, 0xc3adf41c, 0xe4f10ced,
+    0x9d47ffd9, 0xda131ffc, 0xad213ad2, 0x2829dc13, 0x80ebdcc1, 0x0b6cdb22, 0xc2e42558, 0x771e2c23,
+    0x4a309d1e, 0xa09a4cb3, 0x3e20310e, 0x720c0c58, 0x964430fa, 0x0e67dc69, 0x6ab6b803, 0xfe18206a,
+    0xe6e33a48, 0x89f853ae, 0x01a799ea, 0x0dc417ef, 0xad1b8de3, 0xff57233b, 0x5592f220, 0xcb4b87a4,
+    0xa5cb36b0, 0xfece50ad, 0x8f842387, 0x1642812d, 0xd4f5e908, 0xf9145bc2, 0x8698cbd2, 0x48397058,
+    0x8eb948fa, 0xd0891ffc, 0xa7bd3364, 0xd8256167, 0x56cd20c6, 0xacf88506, 0x48d5773c, 0x94eb0344,
+    0x90e48a07, 0x9462e5e7, 0xa9fdf112, 0x29952f7b, 0x9b5e7149, 0x45065e3e, 0xfe058980, 0x77d4bc01,
+    0x0f9a575b, 0x860e40b7, 0x035f6bd4, 0x79783fae, 0xcaf90520, 0x19b65052, 0x0eaa177c, 0x5b037218,
+    0x5e1d92e0, 0x78b85924, 0xd3e45904, 0x531b3f92, 0xd67ae33c, 0x74bfc3ce, 0xd7b91d27, 0xd6649eba,
+    0x5b30ad06, 0x87693e0c, 0x6484cac1, 0x9ffe65fa, 0x01caf4ff, 0x325862b2, 0xd32ecf17, 0x6462f389,
+    0xc0c576a2, 0x7e61a428, 0xa2d1948d, 0xbd71c577, 0xe715bcb0, 0xce72568b, 0xdc5613da, 0xc7c22923,
+    0x5571ee32, 0xc453feaf, 0xeaa92eeb, 0xccf3d02b, 0xefa3c8ba, 0x1845aaa0, 0x70ef0616, 0xfc2673c8,
+    0xe4e6175a, 0xa9d83c06, 0x95861ee0, 0xe954ee14, 0x5080f6bb, 0xe1f6584f, 0x8c4bc1f6, 0xba846620,
+    0x13c1e451, 0x4c429026, 0x4ca9af2b, 0xd82c1445, 0xa667c2d2, 0xfa199370, 0x8202330a, 0x1342b807,
+    0xe08ea2f7, 0x1b54377c, 0xc25d30d8, 0x3b0bb4d3, 0x086ef4fb, 0x7cb97cd9, 0xd8484c3d, 0xbd66e29e,
+    0xe2c91ddb, 0xc577184d, 0x66ad36c3, 0xc9b317fe, 0x11aeb903, 0xa96a0c7e, 0x4ae7632a, 0x12c8b4bf,
+    0x5887723e, 0x5d4b284e, 0x2ac8542d, 0x812f0f9b, 0x6bea4de6, 0x13f809cc, 0x05f12690, 0x774ee144,
+    0x5b8f0d7f, 0x9ae0b254, 0x6bc92bdf, 0xa96bac36, 0x81a0ab00, 0xbf8404e8, 0x640cd524, 0x67021d34,
+    0xf26f1cc7, 0x45ec94bf, 0xfe8625ea, 0xe3afe708, 0xbc6118ed, 0xd509f20d, 0xb5500a24, 0x51ee7731,
+    0x5a99894a, 0x8ba93a74, 0xb4314c95, 0x08930836, 0xecf360b5, 0x3609d54d, 0x49ac9d7d, 0x20cca084,
+    0x8b12f064, 0x42751dcd, 0x05437c16, 0xe86a47aa, 0x86a0857a, 0x68ac769c, 0x9822beab, 0x061e2095,
+    0x6d29b86b, 0x71bf3c29, 0x1954d892, 0xe3414898, 0x9aa6048f, 0xe406ad48, 0x90fdcd44, 0x0b37abaf,
+    0x0e07bf93, 0x745b3e2a, 0x75d4decc, 0x3452bcf1, 0x12479eb5, 0x4a9656f5, 0x9aee161d, 0x49c4c5bb,
+    0x444262e6, 0x376f1ca5, 0x7be50536, 0xe52c5be2, 0x8eefe9de, 0x5373c151, 0xe7fb828e, 0xa1d31724,
+    0x2421235f, 0xde5060be, 0x4002ddde, 0x9e11d4b8, 0x607df9e4, 0x93f0b09e, 0x0bcc9765, 0xb830b73d,
+    0x9c3b031e, 0xb0cc246b, 0xd678dffe, 0xe724d916, 0x423d8660, 0x8a6e0868, 0x08508058, 0xcb183ef3,
+    0x23a18538, 0x4dfd2abc, 0x195cecda, 0x284af424, 0x4c714deb, 0xb79cdf47, 0x8953e6fe, 0xca517a7b,
+    0x022c95c9, 0x12a049c3, 0x2a0838c7, 0xdc81bd41, 0x24c5aff0, 0xe6df8238, 0x1ed77459, 0xa0e582b6,
+    0x014a756a, 0x946c2490, 0x8ad060c6, 0x1e52f6f5, 0xb24f9d47, 0xfddf8dfc, 0x7e1bdac8, 0x1a545eca,
+    0xfee60bf3, 0x7e0ce5dd, 0x404ce7e7, 0x0fb69c6e, 0xd07071c3, 0x5c5bf83b, 0xdfba0391, 0x00d9b07c,
+    0x6da78993, 0xbab5fc89, 0xf5179747, 0x22c411ad, 0xf3c3243d, 0x1a807983, 0x2f8e7d2a, 0x3878cb66,
+    0x5b76dd9d, 0xf16a64c6, 0x49ce4082, 0x81c4dbdb, 0x3325f0aa, 0x53183894, 0x7e4459ca, 0x2f7f763d,
+    0xa9b6856a, 0xcfef3390, 0xe5a639f3, 0x60d26b42, 0xf700333c, 0xfe412992, 0xdb1d0c6d, 0x9a541d38,
+    0xda3ca7a1, 0xafe7705c, 0xe4a20436, 0x76dfb730, 0xf79c20ee, 0x7287448d, 0xc4cd785c, 0x3583c39c,
+    0xfe58fc6a, 0xc45baf0c, 0x9360c5e0, 0x0236a392, 0xe368e898, 0x58c5755f, 0x6371b036, 0x81f523a7,
+    0x39311fd4, 0x03858c35, 0x7387a488, 0x51845c4a, 0x146e7b31, 0x6ce83e31, 0x9d833f12, 0xbb88f2d3,
+    0x0f69cd11, 0xfbfff2ea, 0x344a14da, 0xe9077790, 0x2849336c, 0x2e6414d4, 0xc9ab2073, 0x1f966e56,
+    0x8057cdae, 0x673f65eb, 0x036a1b72, 0x90f16580, 0xa2bf01e7, 0x4fa1ac40, 0x8a74e106, 0x775cff7f,
+    0x0051d346, 0x356fab28, 0xaa862353, 0x1876b210, 0x723a74d9, 0xac4b922c, 0x2c7d4a4c, 0xeefcc2e5,
+    0xa873078f, 0x0fcffc09, 0xd43ed952, 0xc3a32b03, 0xc27560aa, 0xc1e8fb7f, 0xad1c56fc, 0x89237ea8,
+    0x3d376682, 0x0be86fa0, 0xf4f85d27, 0x5da8ece4, 0x9647183e, 0x4ea5dea8, 0x7fae9d8c, 0x9d982226,
+    0xa4eeb29a, 0x068e461f, 0x3702125f, 0x5422e4c3, 0xf35473ee, 0x72376d1f, 0xe6881b37, 0xb7837ca0,
+    0x27b80e2a, 0x9b5c9ecb, 0xd90650fd, 0x06f1e8ba, 0x974f7756, 0x840d1463, 0x4d36a773, 0x3afa6df8,
+    0x838b18ca, 0x68adf964, 0x7ecd02e8, 0x85fca208, 0x1074d153, 0xa69387c0, 0x042acf47, 0x907ecf1f,
+    0x0a16e26d, 0x1d1d1398, 0x83685d75, 0x1720230e, 0x21ad906a, 0x8d02b659, 0xddb14047, 0x4a4212d2,
+    0x311d81fc, 0x4358f7ba, 0xae9f0576, 0x5f2fe24c, 0x0f0f33c6, 0x5d5f64db, 0x4a7bc0de, 0x0d921a15,
+    0x0627aadb, 0x988b962d, 0x5afa93b6, 0xe6e2f702, 0x4ea70ade, 0xa38c653c, 0x51d3f597, 0xf9628fd0,
+    0xabe8ed16, 0xb516b6af, 0x352628a2, 0x14e0b1c6, 0x577140e1, 0xa35771c0, 0x1db82e87, 0x30c58162,
+    0x9bab744f, 0x67adc290, 0xe0bba207, 0x1d97a003, 0x1134e094, 0xa648fcc6, 0x01c08609, 0xb1f3cff5,
+    0xc0effb6f, 0x1d5b5d1e, 0x3faa3d92, 0x8fa8b5c0, 0xe0ec70f9, 0x66e6f3db, 0xccd16071, 0x4bfee388,
+    0x1ab75248, 0x3bfc1272, 0xa419b2d2, 0x0336a0c4, 0x467166c8, 0xd90951e1, 0x34d6a8cc, 0x023e30ec,
+    0x0301b2d3, 0x3a09c85a, 0xa8a2b402, 0x6dba9ff4, 0xef46ae09, 0x1fa09bf5, 0x8fa02d3e, 0xb4303eae,
+    0x8cb46d99, 0x62a81cb3, 0x48d9670e, 0x53c7b4d2, 0x86aed494, 0x2c0c1fbf, 0x335f22bf, 0x17b180c9,
+    0x30a93f51, 0xb635774b, 0x283cc9ae, 0xffb2a043, 0xa8cc8298, 0xbf6e1e50, 0x394a085b, 0xafbb7a9c,
+    0x3b34f0bf, 0x1f06c769, 0x4c4f32c9, 0x11980ed3, 0xd5d983c1, 0x679d5a04, 0xa91c49ff, 0x4222dc85,
+    0xcfb1e4d6, 0x2f25517d, 0x4cd8dbe8, 0xa8cff4f9, 0x2baccaa7, 0xded10c17, 0x840d27dc, 0x5a2a0f79,
+    0xd32cf961, 0x604ac360, 0xb9d5fedf, 0xce3444d4, 0x6eb09138, 0x86dc339e, 0x313e94ba, 0x6b2e3bb2,
+    0xb834fd60, 0xfc89df1b, 0xe598de6b, 0xd2f942a8, 0xdaa8d48f, 0x29a36ca7, 0x2120c049, 0xbc97e172,
+    0xb86d4c23, 0x7fcfca64, 0xedc8c6b7, 0xdd4fa21d, 0x79ad98c0, 0x0535b1bd, 0x5e00f385, 0xbd4b1b39,
+    0x8aaf2a92, 0x6a211a7a, 0xf2fb7a90, 0x862cc2fe, 0x7fd03300, 0xaf781857, 0xce9e594a, 0xf75a6878,
+    0x4ce3ddd6, 0xc28a336f, 0x68907533, 0x984c6608, 0xd9f0c1be, 0xc278416f, 0x9d0abb86, 0x11800765,
+    0x69c1581e, 0xa9fb0451, 0x2c3c4c6a, 0xa87f333f, 0x42bb474d, 0x95432732, 0x331f51ec, 0xe2a79580,
+    0x7b2f6614, 0xfd49757c, 0x4209a9b6, 0x91c0c09c, 0x5e44ad70, 0x944a498d, 0x89bebbb7, 0x4d8ea51a,
+    0xe17d7407, 0xbeccb3e9, 0x2448097b, 0xf0a132e1, 0x5290a26d, 0x41d18ae1, 0xb1cefc51, 0xd77a02de,
+    0xab211edb, 0x74f761a4, 0x46f6fb69, 0x76437439, 0xe5587c98, 0x7d3cbba7, 0xf03e2598, 0x7684f63e,
+    0x8d9ed284, 0x163eae96, 0x440e0fbb, 0x0d1451fd, 0xdca9802d, 0x11ac7ba3, 0xf79cec1d, 0x9d0e5034,
+    0xaeab0175, 0x85d220f3, 0xda0580d1, 0xf82043ae, 0xbb86a9f1, 0xe893be30, 0xe00c197c, 0xcbe40ef5,
+    0xa347a434, 0xb2b694ed, 0x84cf71f8, 0x62ab9f8c, 0xfcf28e45, 0x66b5bf12, 0xbba2d0a2, 0xd41cf2d4,
+    0xe9d36f74, 0x4d9a480b, 0xc7a7e063, 0xa9b6447d, 0x8c17c5c0, 0x1714153f, 0x57df0284, 0x1681e7eb,
+    0xcb49177a, 0xf7fa1f14, 0xa6ae1c97, 0x63f7d4e3, 0x9b565041, 0xe7bbcd0f, 0x40b45642, 0x44358f7c,
+    0x5dd38391, 0x7dd75839, 0x1c310cbd, 0x11f44c67, 0x4b25d75a, 0xcc834226, 0xfb169cd2, 0x92f3e649,
+    0x04c64f9d, 0x82a95254, 0xb423708c, 0x619e74e5, 0x019fcac3, 0x1cd21447, 0xd69424c4, 0xcd260125,
+    0x4938119b, 0x6338921f, 0x1149c665, 0x6651d1b9, 0x85d3e881, 0xe5ab7e75, 0xab715a13, 0x0e50a12c,
+    0xf163056c, 0x9a8b36f4, 0x85b1525e, 0x48132459, 0x095c75f4, 0x91b29bc9, 0x1df9df1f, 0x63360cdb,
+    0xd9249534, 0x67fe82ec, 0x49f289a1, 0xaec61b53, 0xf9bbfea6, 0x06bab0ec, 0xbafb5995, 0xba24a295,
+    0xd686dc37, 0x6c424955, 0x509c3523, 0x0b036a0f, 0x312261de, 0x42d4c79e, 0x07800f33, 0x474aa280,
+    0xbec9b580, 0xf07fa6a1, 0xff298dd6, 0xe8d9dea0, 0x9d4f51ac, 0x85ddb3fb, 0xdbdfd858, 0x8fea0f65,
+    0x5ff7bdea, 0xf13d0d85, 0x4534eb50, 0x8023e6bd, 0x236088d2, 0xe2accbd0, 0xf6e2eefe, 0x85b9e8d9,
+    0x1868acff, 0xd49f07f6, 0x65f5d057, 0x236b4624, 0x9b704a94, 0x5bb33503, 0x166ed8b1, 0x5084e4c3,
+    0xcda0c339, 0xfc2b0e51, 0xd2bcf814, 0xa3c6cc24, 0x2747ba91, 0x12465be4, 0x2919b622, 0xca93c9b2,
+    0x5dc961a5, 0x299a1c3c, 0x5a703aee, 0xbf0fcaee, 0x9f222ce7, 0x4ac60b1c, 0x6c3be083, 0x8008f737,
+    0x2ff9e274, 0x89861bc5, 0x1f7c99a7, 0xa41ba112, 0xc2f8c743, 0x13ad059d, 0x1f447d83, 0x4867333d,
+    0x62a99d45, 0xbfeefa72, 0xc81d2688, 0xd974fb5a, 0x55a1c9af, 0xf5c1b0ca, 0x57a48804, 0x887aad96,
+    0x5e564e04, 0x76df8e20, 0x5adf965b, 0x70abcb3c, 0x0db61b5d, 0xb4eaee8a, 0x53d13399, 0x81f694d1,
+    0x2e2dc0c9, 0x8a5960f7, 0x9290ca84, 0x430ae042, 0x6737881a, 0x635fd805, 0x4fc623b9, 0x73519d7a,
+    0x5ee9d047, 0x5e9ecd32, 0xfec00775, 0x4b51947f, 0x6865fe55, 0x5d84a825, 0xb6fe74f7, 0xe59f05c3,
+    0x23a12dc6, 0x7bf32fe8, 0x16bdd7af, 0xf0ceff60, 0x363aaf37, 0x638897a2, 0x820452f7, 0x7aff42c8,
+    0x18c3ca33, 0xd08505ff, 0xbd3da5e4, 0xad076bf0, 0x9b592a1c, 0xbb9b77d2, 0x91e99755, 0xab57b637,
+    0xa09800a1, 0x59e27c90, 0x399d7ce9, 0xb58363ce, 0x62336f73, 0xddf9ff8f, 0xac9b364d, 0x756a3e4e,
+    0x7104234c, 0x23431e95, 0x7ac6dc20, 0x2e4016fa, 0xfc1f9423, 0x5a8968dc, 0xd2786888, 0x0d861348,
+    0xbecac8dc, 0x8b53d8f1, 0xba1c8f8f, 0x148c8a01, 0x8eac5ad8, 0xf7f2d5fc, 0x04ac6565, 0x50b5709d,
+    0xe32162cc, 0xca8cdb56, 0x5dc51384, 0xd7fc0a49, 0x1878fbe6, 0xa4d4cbc1, 0x88e95d79, 0x26948971,
+    0x1df05cc4, 0xea223f4b, 0x1afd348f, 0xff14b7c5, 0xaeaa4fca, 0x936b4111, 0xb6503c03, 0xa94363f4,
+    0xd393d371, 0xda62882b, 0xcdfc1c6b, 0xdcd850fe, 0xa873e0ed, 0xba50c422, 0x07c1ad67, 0x8e408dce,
+    0x1a2532c3, 0x26f42b51, 0xdd7c1d0d, 0x8809eedf, 0x80d459ef, 0xadc358c0, 0xc7b21c20, 0x4ab8985e,
+    0xd32db727, 0x83035c75, 0x9ed8770b, 0x94ad1ef8, 0x07aaca22, 0xe938cfd2, 0xa2282f1c, 0xa46bd046,
+    0xbf905656, 0x01ed4a40, 0x4556493e, 0xb19b8a83, 0xdb1aba0d, 0x999aa4c0, 0x73ad5da8, 0x249c3b04,
+    0x78766fd9, 0x01e0e64a, 0x60477615, 0x27d2d98e, 0xdd3e382b, 0x6f9b5ca6, 0x7189e5a3, 0x4364ea85,
+    0x8d61dc60, 0x42f9c68f, 0xb76dcd80, 0x09a9d67f, 0x6024193a, 0x7fc5b713, 0x3ad546e7, 0x0155dba5,
+    0xc6f731f5, 0x3c742421, 0x8b3f378b, 0xfa1e0966, 0x891fb90d, 0x4b3f5b79, 0x7d3c5171, 0xb494e85e,
+    0x2966e66a, 0xbea06123, 0xd751ac6f, 0x4a31d28a, 0x45a684bc, 0xc0f2e977, 0xd36dd66e, 0xabe5b2a7,
+    0x11f92485, 0x5fc80107, 0x6c87642f, 0xbfd86355, 0xa6378d63, 0x317111cf, 0x2cded2db, 0xfe76b762,
+    0x26cd0aa4, 0x84e577a6, 0xa59fbb65, 0xec368f59, 0x41f871bb, 0x8c5772ad, 0x615f9dda, 0xcc7742b1,
+    0x2355bd78, 0x3d49a49e, 0x4212a3b6, 0x2f929650, 0xfc4a6a74, 0x9b036ae6, 0xdc8efbec, 0x791cdf49,
+    0xa84da2d6, 0x3ca68341, 0x9353db7d, 0x2f93c091, 0xed82e5f0, 0xe9622d07, 0xb4c714de, 0x316ef988,
+    0xbb32af0c, 0x713730fd, 0xa0122538, 0x2f9b313e, 0x835c045b, 0x1f168ce8, 0x86ef54da, 0xb63109b4,
+    0x14811eb4, 0xbf804057, 0x43bd06a7, 0xb15ee9c8, 0xa09291e7, 0x7b328ed1, 0x7d38a5ad, 0x6bbc5a55,
+    0x27b9b705, 0x89a55152, 0x2d5d1e59, 0x04e8fb42, 0x7909eacf, 0xc2a2f1c4, 0xed9e3dfa, 0xf31d0fb3,
+    0x82cb6f37, 0x2deca8b6, 0x4dcb703e, 0xae3f9376, 0x876b6540, 0x54686df2, 0xf4efb3d2, 0xbff6e849,
+    0xfcc300f2, 0xa23773e0, 0x993799f1, 0xb55986d9, 0xba19dc47, 0x05a49f4a, 0x5d5551d9, 0x58db89ae,
+    0x1c41e8ad, 0xa329e9be, 0xe5814e16, 0x8bb48f2c, 0x45b52759, 0xac7c7c1d, 0x74245f51, 0x19f087a3,
+    0xda6ade1a, 0xc2446854, 0xa9e47045, 0xed548a93, 0x97b48f5a, 0x65161fb9, 0x7353d270, 0x4aee7084,
+    0x3763c485, 0x4e404153, 0xdd19d420, 0x859eb2bd, 0x83cb995e, 0x2784a888, 0x64fb7097, 0x7f45af2e,
+    0x0801d915, 0x9d602f1b, 0x92964198, 0x2946be3e, 0xea07daa5, 0x798ccf52, 0x686e0058, 0x3309f2f9,
+    0x80b8d4a1, 0x4bc1afd5, 0x5bddedc4, 0x20165f91, 0x84d4a030, 0x9f18a7de, 0x9af86e53, 0xad532de7,
+    0x00000000,
+    0x53d79422, 0xa938a5e8, 0x8b83b682, 0x42c455c1, 0xc5f335e0, 0xfefa30f4, 0x62dc92a6, 0x039098a5,
+    0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000003305279843951242994759576540163855199142023414\
+                          82140609642324397637202895618155672912594605219857642423795606012511679152128 */
+  { 0x00000000,
+    0xd9408b1c, 0x240ec3db, 0x7646c8a4, 0x73e6b640, 0xf3ce31fd, 0xa7a9ce27, 0xe23a3b1f, 0xd1d18ae7,
+    0xfc291c0c, 0x58cd57be, 0x74fd28b0, 0xbb229e1f, 0x9c116a34, 0xf439f046, 0x459de36f, 0x78f5ce6b,
+    0xd185c870, 0x9ea1a37e, 0x52c327bb, 0xdb9db2b8, 0xcabd8789, 0xe68f1707, 0x54343302, 0xce44529a,
+    0xcccd9e16, 0x06516ed0, 0x94d5023c, 0x85db9443, 0xb53d2acd, 0xf99688eb, 0x7c14a79a, 0xc8ea72ad,
+    0x2a028e56, 0x141aeaea, 0xfb33de35, 0x2e838cac, 0xb3d635a9, 0x7048865c, 0xabe44bd5, 0xd3ab3206,
+    0x293bdd60, 0x38d4e38e, 0x5f5b9ff6, 0xc641b09d, 0x9d0864e3, 0xb1a0cedd, 0x9da5527c, 0x27413f7e,
+    0x6342b14d, 0x3eecebb6, 0x1a93a303, 0xd5e225ef, 0x4f40acd2, 0xe3b2f8ba, 0xcf3a0cf4, 0x7a6d7a97,
+    0xd7e9820c, 0x430c9da0, 0x9df2a993, 0xac7badb9, 0x4e68cfef, 0x4bf4be27, 0x8f281644, 0xe16a3072,
+    0xb646971b, 0x99e15966, 0xcd7f217a, 0xa854257e, 0x98e7f9d6, 0x72433f18, 0x90a32a33, 0x72ddf4ca,
+    0x1dbc2bfb, 0x7a8bed6f, 0x58221f0f, 0xe492ce5f, 0xc3e19de6, 0x0d98d838, 0x16d69d99, 0xec06ee59,
+    0x94349f9c, 0x132b55dc, 0x4ff9ed0c, 0xeb802e53, 0xd3c2ef71, 0xf1a3e1a1, 0x99eb7a37, 0xd7c4cb56,
+    0x706cea17, 0x29abfd00, 0x5567770a, 0xc604c0b6, 0x7608a0b7, 0x2075bd89, 0x880b5ee9, 0x172d6b92,
+    0x5c033724, 0x249c7e8a, 0xca6761a9, 0x6899a766, 0x0cbbe763, 0x774dd43f, 0xb02c80dc, 0x3444b261,
+    0x0c859092, 0xf6c1937c, 0xe5799044, 0x798300d4, 0xa7d03d1c, 0x939791e8, 0x5739326b, 0xf18beab0,
+    0x939b6852, 0x5468b79e, 0x1dcd1e16, 0x73db3a6b, 0x9d693d84, 0xbfff2176, 0xf1f18721, 0xb3b5a7b6,
+    0xa7b9586e, 0x21a5b0a8, 0x354cf377, 0xb990ba03, 0x1c1435ec, 0x761fe80f, 0x26714306, 0x63c89044,
+    0x585c57d7, 0x246f74a8, 0xcbb451b9, 0x75644fb7, 0x56b0a155, 0x08289d8f, 0x484cb4aa, 0x1117bc65,
+    0x7dff18c9, 0xf0159de7, 0xbbacb3ab, 0x6425c3c2, 0x2cda351d, 0x0ab9c35d, 0x2e3cef49, 0x0e6e90cf,
+    0x4d6a7a6e, 0xf3225222, 0x6eb1fbe4, 0x09dac3c1, 0x61e5001c, 0x479c070c, 0x9a368628, 0xc4940b11,
+    0x6d8f496e, 0x4f27226a, 0x80c8353b, 0xd1aa0958, 0xcf9a5bc7, 0xe85fa46d, 0xa81cb0ce, 0x601d4f6b,
+    0x1b169b83, 0xadc405a8, 0xb9d549d6, 0xdeab03ea, 0x81794950, 0xc9aaa18c, 0xd98469fa, 0x96a13fdb,
+    0x75649bbe, 0xb445c83c, 0xf2648a0b, 0xf7564bfb, 0x9bf129df, 0x1543eac3, 0x9592bd66, 0x1fba8cdb,
+    0x40990e8e, 0xf81af0b8, 0x6914b5db, 0x8e888218, 0x1cc7c08f, 0x276792a4, 0xcdebf221, 0xa28b2919,
+    0xa01280a3, 0x93cb72af, 0x268e59de, 0x064e4362, 0x13e2a9be, 0x1decb6d0, 0xccaf26a0, 0x585d1700,
+    0x725dfb47, 0x0c0b7888, 0xd9f6e0d9, 0xf45c7b0a, 0x99e82d30, 0xe24ccdd1, 0xfe59cec1, 0x07efbee2,
+    0x5c27a3f2, 0x442fa3d4, 0x3d2c9fe4, 0xaadd7938, 0xc7da72f3, 0x4a74f0cf, 0x8847285d, 0xf8addb6a,
+    0x62131166, 0xc1b2fd88, 0x92a02bc1, 0x25f6a1e7, 0xab94248f, 0x68ed5e1c, 0xe064a088, 0xa7311822,
+    0x902e850c, 0x398831c7, 0xe6fd1dff, 0x14ded78c, 0x995092ac, 0x9ad8e07a, 0xb5ee89a8, 0xb90b5f99,
+    0x52976185, 0x42a0d58a, 0x10151e81, 0x87c269ca, 0x3931b3ca, 0x82b07c18, 0xab98a6ba, 0x4b9adec3,
+    0xf5155951, 0xca168df8, 0x171bff57, 0xdb6a5296, 0x0e2f6279, 0xe57d0e27, 0x1948074d, 0x37859da8,
+    0xf7104851, 0xbb1bc9f4, 0x23ed1c78, 0x33278a12, 0x461732d8, 0x1a408748, 0xa0e4d074, 0x25bfcd78,
+    0x05fc9c6f, 0x489825c5, 0x246c7466, 0x6a9d3a2c, 0xbf93913a, 0xa7958c15, 0x41f1dc31, 0x0326e4e2,
+    0x7d90e766, 0x3d07d3e0, 0x3dcc06f2, 0x3edb921d, 0xf5113050, 0x912dbcd6, 0xfbed46c4, 0x05a4434a,
+    0x9ebacbd1, 0x6b21333a, 0x0c30c6ad, 0x8db3481e, 0x45a82936, 0xed05fce7, 0xf1b8796f, 0xec051f7f,
+    0x168eb551, 0x510ae2f9, 0x8b66807e, 0x5ee78a11, 0x38986e41, 0x31b2bc16, 0x75fcef70, 0x2ddec3e8,
+    0x48273ee9, 0x21e173fd, 0x2174fd7b, 0xa3d4821d, 0xfc0486d6, 0x4f9762f1, 0x2002c1ca, 0x361788cf,
+    0x85b9893c, 0x818b2728, 0x0d1af6e9, 0x88513c67, 0xf10c3ab2, 0x97c79a34, 0xd7d309d3, 0x59bb12c5,
+    0x771ba6fe, 0x47c466ae, 0x74a1a884, 0xd7440e44, 0xb1ef0e50, 0xb0b26a64, 0x132bc85c, 0x9e2c3f13,
+    0xac31753e, 0x89a603dd, 0xa2d65462, 0xc1dc92ff, 0xe7c3ac16, 0xcd988d6a, 0xb0c62d61, 0x88b5ba8f,
+    0xab4170e8, 0xbac6f8b6, 0x87c12923, 0x90062584, 0x2b783bc5, 0x4eb676f1, 0xb6c9a6a2, 0xcc843e54,
+    0xf6ea130f, 0xad477147, 0x7098e9f5, 0xf34d8611, 0x6d6a4e84, 0x33092594, 0xb84f7baf, 0x4c02237e,
+    0xa5390090, 0x548bc850, 0xf79fd7ad, 0x19332c15, 0xf3500fac, 0x558e6c5f, 0x566dfd95, 0xba2637fc,
+    0xeda6a608, 0x77fa0785, 0xbc95b0cf, 0x213878a9, 0x011e52c9, 0xccf78fb4, 0x6eb71348, 0xd936908f,
+    0x0a061f8a, 0x71b47ef1, 0x8a379369, 0xf55bf1d3, 0xfb250d82, 0x57708e15, 0xb221be07, 0xda14eeb9,
+    0x3c7e01f7, 0xadddad13, 0x3792dd8c, 0x8696690f, 0xd2fe7a77, 0x33d3a71e, 0x982fd5f2, 0xd8a79541,
+    0x15c70503, 0xf4f15f59, 0x0192aa06, 0xec009a98, 0x3bc3f533, 0x19cb5d5a, 0x7dd2192e, 0x8d3db408,
+    0x0d96354d, 0x2d2057c1, 0x5a5cc5e4, 0xd3cc80e9, 0x2b076d93, 0x21fc1a58, 0x7323b38f, 0x5c903a43,
+    0xdab0cd30, 0xbda529fe, 0xafcccc71, 0x529a19bf, 0xbbcefcec, 0x368dff1d, 0x001901b8, 0xd31259bb,
+    0x2e898640, 0x94b5b821, 0xf48ea704, 0xe1d0b85d, 0xe966cb68, 0xff801e92, 0x999c7200, 0xc475c144,
+    0x9ceba177, 0x74be5308, 0x7479ec44, 0xccbe40c2, 0x60dc64e1, 0x7aa1c54c, 0x5ed1f9ff, 0xd906c6c8,
+    0xe855f1e3, 0xfd9d9585, 0xb6b22113, 0x23e4f1ab, 0x14f64d45, 0xc3e2e109, 0xb2dd3125, 0x66bcda05,
+    0x3ecadf5f, 0x39f48f88, 0xadfaf37c, 0xdad151b8, 0x73785cf4, 0xb23eb0c9, 0x4db4e2a2, 0xc7f37cf5,
+    0x7971a565, 0xfa8735cb, 0x1c2662ed, 0x5116327a, 0xde87c929, 0x7b1074e1, 0x0f791e91, 0xb5f3c33b,
+    0x148136d1, 0xefb3e56f, 0x3e53e218, 0xd5c341df, 0x5b017b7c, 0xbad8f395, 0x533fb6d9, 0x30a5af69,
+    0x22735c33, 0xdcc76bcd, 0x3d39b581, 0x2dade24b, 0x030426c0, 0x6cfcb122, 0xe09742ca, 0x4a87e6f0,
+    0x2592591b, 0xb93ada82, 0x795348b2, 0xd07a8dee, 0xb5465445, 0x1390a10c, 0xe6ffce1a, 0x737b511c,
+    0xf4ae3f7d, 0x53041ccf, 0xf1653091, 0xd7889f91, 0xd2bb7c34, 0xfe6ebe02, 0xd5850f87, 0xc12df9bc,
+    0x4b53a709, 0xc29f74b6, 0xf6ecbb2f, 0x539b1dc0, 0xc6b949fb, 0x40708c28, 0x872080bf, 0x4c7ef377,
+    0x55539aca, 0x5dd96a2c, 0xf4d4f3f5, 0xe87d4e22, 0xb66a7a1b, 0xbb4a5489, 0x9e2f6328, 0x2d88bab7,
+    0x5865925e, 0x8ac24726, 0xdc774739, 0xc8260009, 0xe4b16255, 0x11ef32d0, 0x6b4e4995, 0x5bbd69a2,
+    0xf92653dd, 0x3b410274, 0x360c80b3, 0x50c4ad95, 0x7393e1d9, 0xc957c7c1, 0x9cbc6eef, 0x8b92ab96,
+    0xc35c861b, 0xfac6ad71, 0x403ef96e, 0x5803da41, 0xef7ba2bc, 0xca779e26, 0x862c2384, 0x6384e6eb,
+    0xfeaf871e, 0x8dbb53fe, 0xc0563fcb, 0x30eb2095, 0xe3c3c390, 0x30f0432c, 0x89ad38db, 0x53949515,
+    0x2de4d7fc, 0xf5386301, 0x7ec6ea14, 0xc31095d2, 0xeb95b1ae, 0xa0955fd5, 0x49311457, 0xff55a836,
+    0xfa61c46b, 0x6dbb2b16, 0xe209869a, 0xcfc15109, 0x7dbdda40, 0x36d54640, 0x8cfb9a01, 0x851fbf0e,
+    0x3ee30d6d, 0xe26d26c6, 0xdde4ed33, 0x722a07f1, 0xcc966944, 0xbf9b4bdb, 0x285117cf, 0xaeaac667,
+    0xa450e54f, 0x60054db5, 0xb9ebc43a, 0xd3e450dd, 0xe2d44368, 0x99242838, 0x83eb0cf9, 0x86b0dddb,
+    0x996c600c, 0xd0038099, 0x475f59ba, 0x8c84dc42, 0x41565830, 0xdbe0b378, 0x942eaeec, 0xa0e4304d,
+    0xb6e19f18, 0x1581d1dd, 0x229bb6e4, 0x4eff7ce6, 0x13d4d6eb, 0xc62fb64c, 0xa645d50d, 0xca14d709,
+    0x977b003a, 0x3958fdec, 0xcc0cab0f, 0xc8e2bffb, 0x82ab30f5, 0xc029a981, 0xfac78128, 0x68a9776e,
+    0xec74c03c, 0xbc02e3eb, 0x9ab93c35, 0x645dce3d, 0x51e6b243, 0xf8ef3ee1, 0x3e03b9df, 0x42633b9d,
+    0x9e696ad6, 0xfd6ef1e4, 0x760b5a09, 0xce23b2d1, 0xf0711800, 0x1703f04f, 0xd80d0084, 0x637d6429,
+    0x40fd2a4c, 0xd48ebedb, 0xa4b7357e, 0x29fbe97a, 0xfcbe53ec, 0x4e337b33, 0x557458a6, 0x262ba292,
+    0x72dd8447, 0x54a7d6a6, 0xb77ad7c8, 0xf12a2ff3, 0x65ccd045, 0xd9b80164, 0xfefa1101, 0x84e780e7,
+    0x502637b0, 0x0b31b88b, 0xc580b83b, 0x4aeaf425, 0xa019649f, 0x397b6a23, 0x8b7aae1c, 0x20a85684,
+    0x0a1d41c0, 0x0fc0e3c5, 0x43f11339, 0x6b2c64c1, 0xd1b49329, 0xe261cf50, 0x3abd0daa, 0xb0b7c35d,
+    0xa4d5be40, 0x0c0ba454, 0x4bb3c5d8, 0x26f09cce, 0x7d26f9dc, 0x7199b73a, 0x9f11b6b8, 0x84231124,
+    0x016a87cf, 0xd14f8d64, 0xda893f2a, 0xe5bba0b2, 0x6bcf47a8, 0x458cab52, 0x57688992, 0xb4d2510a,
+    0x00a4647b, 0xa1927d9e, 0x77a07d76, 0x74de0f8c, 0xca712cf5, 0x1afe6adf, 0x822f44cd, 0x9c49a685,
+    0x4a5e085c, 0xfbb01c9a, 0xcfe25b17, 0xb1f71ec2, 0xd5d7231c, 0x199b6893, 0xe592f3c2, 0x4ad76c5c,
+    0xc1d2f5cf, 0xed5b3e85, 0x473bf9ba, 0x848e8185, 0x9c32622b, 0x5565261a, 0xfa05c0dc, 0x3d94fc92,
+    0x9a768559, 0xf16dff82, 0xa075a7db, 0xddebf9b5, 0x10adf127, 0x3aebf13f, 0x24b592dd, 0xafafcccf,
+    0x9e0b14c3, 0xf232d7fd, 0x248168ce, 0xbc96b37a, 0x64f1ce87, 0x3b4300cc, 0x2d0fb280, 0x01af34a2,
+    0xcd3554f4, 0x9db9523c, 0x1b80b9c4, 0x14617731, 0xdbdd0d07, 0x024156e0, 0x56a84457, 0xb9f2f6e9,
+    0xc2dae99a, 0x6e5cdee8, 0xaed11f70, 0xcb71ba4c, 0x1464bba6, 0xf059b2a3, 0x4de0f70b, 0x71a62592,
+    0x6e99fe70, 0x69a3fe4e, 0x819e8a2f, 0xd08f8f6c, 0xebed0de0, 0x70100297, 0x9f4d7c45, 0xa2871725,
+    0xa81ee2fe, 0x50f3625f, 0xdba7517c, 0x1473baef, 0xb73816a5, 0x0b3386a2, 0xb3a3550e, 0xf258fedb,
+    0x5b8e73b6, 0xa05b552d, 0x98a6f79c, 0xd76cbf9a, 0xd7b5a70e, 0x278303b1, 0x97928a9a, 0x1a461d2e,
+    0x14754541, 0xf9099040, 0x8413575f, 0x8f603afb, 0x72668260, 0x10fc6a03, 0x0972699f, 0xe2af0e39,
+    0xa48af3e5, 0x9dafdfbc, 0x4bc5257e, 0x7634338d, 0xb81ffab0, 0xc32b88cf, 0x2a8d43b3, 0xdcaf83e9,
+    0xf5b40a75, 0xa2b67998, 0x853b0107, 0x1d7a97a3, 0x32d10d78, 0x5234f939, 0xc5d92979, 0xec8d1e83,
+    0xe2b3b2b4, 0xfa82a672, 0xeb24bb67, 0xe4e322e5, 0xf74f9528, 0x091a9bf2, 0xe7cbcaca, 0xb1927a08,
+    0x0a2ece46, 0x0a5893e6, 0x9acd6400, 0x09636bee, 0x18265128, 0xbb49dafc, 0x7d06879f, 0x0649277c,
+    0xcd10d677, 0x13e30b87, 0xe0c3cc53, 0xe7a4a2c1, 0xe64db312, 0x935162d6, 0x7b4c3d8d, 0x543537b6,
+    0x9402e93f, 0x154089d8, 0xe7d8f6de, 0x164a5c7b, 0x89cbd82f, 0x291e98e4, 0xb18fbc33, 0x5c0fa192,
+    0x4fdd5a0a, 0xc56217ac, 0x3689473a, 0xac263d62, 0xb2d94df6, 0xc18d9859, 0x2e9f636a, 0x2eee70f7,
+    0x3c3ded1f, 0xf470d29d, 0x2dfd4dcc, 0x4df4955d, 0xca3215d8, 0xc5829ffc, 0x46bfeab3, 0x63d8032a,
+    0x0a88eac2, 0xe4842125, 0x06373272, 0x9d5cd233, 0x00faf184, 0xb3f77375, 0x02ff6512, 0xd69ebea2,
+    0x6aa1f9a7, 0x195baaec, 0x533cd64d, 0x4c46877b, 0xc359e54e, 0x6ac62c9d, 0xcd2b9329, 0xddea9cbc,
+    0x63d93f32, 0xc8dff507, 0x6fff7022, 0xc487a7b7, 0xa4ce1368, 0x8e70f92f, 0xd0b568bb, 0x132faf48,
+    0x0b75c362, 0x47c1c37f, 0x04f30dfd, 0x6b213085, 0xc8e4b09d, 0xb5093c03, 0x26f00980, 0xd7037c50,
+    0x6f5a8ac9, 0x34eb6e82, 0x990f5829, 0x56f97e99, 0xae5c86b9, 0xf9aee165, 0x4beab9db, 0xe2391cdc,
+    0x4648e11b, 0x68baee24, 0xe8c25ad9, 0x3d146898, 0xe7da3c1d, 0x3d545ada, 0x3efd708b, 0x58c698a1,
+    0x1289715a, 0xf9573900, 0x05fdf592, 0xe4e92603, 0xdc813e9f, 0x69dc74ed, 0x9e6e9e67, 0x91a6dc11,
+    0x74329c75, 0x6992250f, 0xcb6479c7, 0xa00c10be, 0xc96ea482, 0xfa0b83cd, 0x57742af7, 0x70d60c65,
+    0xeeab129e, 0xcc35194a, 0xa2914acd, 0x978d836c, 0x51742167, 0xcf14f87c, 0x2305f3e5, 0x7f5d96d1,
+    0x720496c8, 0xe1282fbd, 0xe1ed5213, 0x50787dbf, 0x69b6a0f7, 0x12c105e3, 0x6396f5b9, 0xf0ed294b,
+    0x8e88ad29, 0x7b4c2d34, 0x293539be, 0xf1aba93d, 0x3d250f32, 0x8a895480, 0x806e6bae, 0xa0e9ba16,
+    0x18adf1c0, 0x0264bdab, 0x55a1b95d, 0x96b6b6b8, 0x6644513f, 0x2ef2b764, 0xe8746366, 0x50b3664c,
+    0xf8321175, 0xeab7d442, 0x3393b5fc, 0xee83b5b0, 0x20cb6a24, 0x2afb7946, 0x4acf98eb, 0x6c2da9ae,
+    0xbe590b81, 0x8a7e96b0, 0xe8882970, 0xbe763981, 0xe8df708d, 0xa1d54cae, 0xe892581c, 0x29771c82,
+    0x037e86f8, 0x45ff97dd, 0xe8b31482, 0x44e7e4de, 0x4e707be9, 0x4c136f3d, 0x71167453, 0xddf93d1b,
+    0xde996687, 0x67d8ccfe, 0xdbcb4745, 0xbf27ea9d, 0x458591c8, 0x06968569, 0x4e0900b8, 0xae19ce58,
+    0xfc68b816, 0x12bce2d1, 0xcb556bf6, 0xc83a0096, 0x74e3d93c, 0x57747ca9, 0x753fc84c, 0x8bf5d267,
+    0x2868ad64, 0xbf58b05d, 0x109a06b4, 0x36879d36, 0x94ce1558, 0x874d58dc, 0x71b155f7, 0xd8b89424,
+    0x21e97e9d, 0x4019c993, 0xb69d466c, 0x408f54a0, 0x88831c19, 0xcad37801, 0xeb5377db, 0xd91eb791,
+    0x339e6f41, 0x984fccaa, 0x15102ac6, 0x461242c4, 0xd7c37096, 0x34030f8f, 0x97083ae1, 0xcbe89b61,
+    0x50c2f5ae, 0xd0d27bae, 0xa68351a1, 0xc83a822c, 0x14e98575, 0x0e41e4aa, 0x3adbb7ef, 0x4cdcf957,
+    0xcc606855, 0x126f7f1a, 0x4fcfd51f, 0xbe3a3ef2, 0xc1d1fab8, 0xfdcff041, 0x5d792089, 0x10759494,
+    0x4e467642, 0xebaf647e, 0x2e82f0fa, 0xfefb7f79, 0x8c078269, 0xbd7804bb, 0xf968ad78, 0xa406d187,
+    0xaf7f670d, 0x1aa22087, 0xfc463b08, 0x2ad9f2f5, 0xf54faab5, 0x238cea5a, 0xe161e029, 0x0fc078fa,
+    0x04701256, 0x26d713b9, 0x2d549a3a, 0x161640a0, 0x2ecb8bf1, 0xe48e752a, 0xe4fe4180, 0x59cd2fd2,
+    0x3df83728, 0xd5f1bdc3, 0x9c001b23, 0xe0d0cc25, 0x868f74cd, 0x6bdd4fa2, 0x237a5e0b, 0x02f6c579,
+    0x0addd06a, 0x0b4dff6b, 0x1307738b, 0x65ae206c, 0x35d94cf7, 0x841a1428, 0x453ed48d, 0x2624fb55,
+    0x82faa92a, 0x5cd68a00, 0x5e1d6d53, 0x8d1f54d0, 0x2c432f0c, 0x783912d0, 0xce247781, 0x63b1f42d,
+    0xc7872b83, 0x78185f9e, 0xb37480b2, 0x85f19262, 0x0ac01d78, 0x2d5bf8dc, 0x10762728, 0xd2a50974,
+    0x00000000,
+    0x29ebca10, 0x549c52f4, 0xc5c1db41, 0x21622ae0, 0x62f99af0, 0x7f7d187a, 0xb16e4953, 0x01c84c52,
+    0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000001652639921975621497379788270081927599571011707\
+                          41070304821162198818601447809077836456297302609928821211897803006255839576064 */
+  { 0x00000000,
+    0x72d172fd, 0x8f47de1d, 0x0cadaa7d, 0x99cead22, 0xb9a31f07, 0x9bf7551b, 0x130b5c3a, 0x1920d3e1,
+    0x91bce78a, 0x8f11b3ca, 0xd4c33df7, 0xf180650d, 0xef49c1f8, 0x1908b0e9, 0x74fb398a, 0xd0ade495,
+    0xeda5e58b, 0xca3bed72, 0x8f1d7146, 0xc199065e, 0x598fba23, 0x79ac2fb9, 0x8d364a5a, 0x9947b917,
+    0x1b0ba56e, 0x678e7aba, 0xfeef55ce, 0xc893c3b3, 0x967040d9, 0x8cdca543, 0x5e584501, 0x76d87567,
+    0xa9290f7c, 0xbc550f49, 0x74c54421, 0xb346d44d, 0x0034bfa9, 0xc072f364, 0x6923cf42, 0x2a4c62d9,
+    0x89d6162c, 0x74907199, 0x3d0c3c14, 0xf0888bce, 0x18fe83c7, 0x8350bfb9, 0x5a2b2ca6, 0x7d057cf1,
+    0x84633565, 0x8435106c, 0x2f8f1fc3, 0xe5eff709, 0x3649fe6e, 0xf9e4aaa9, 0xdb515964, 0x446442b4,
+    0x84255061, 0xe0817cde, 0x21acacaa, 0x6c93a006, 0x7df8ebcf, 0x0b742219, 0x5690fbdc, 0x12e82b37,
+    0xe39bc496, 0x2a80449b, 0xf5c46c75, 0xc8dfeefc, 0x7b66969a, 0xcf7a7da5, 0xcc516a45, 0x2b0c9c44,
+    0x21debc65, 0x84d70c9e, 0x75d85310, 0x22418d3b, 0x85e90d5d, 0x09526e47, 0xf4a55a7e, 0xfbec4ea0,
+    0x8d06d03d, 0x76ceb330, 0x82c4fb8b, 0xa5217e42, 0x0191e466, 0xee9869ed, 0xdc850512, 0xbd7108a5,
+    0x4dc8e8ed, 0xc97158e4, 0x6e05f0fc, 0xb1da9219, 0x6021a9a0, 0xd1bafaa8, 0xedae45dc, 0x3fa72da8,
+    0xd449d57b, 0x549405de, 0x5d936299, 0x7595e772, 0xb5a0d31e, 0x74c1497d, 0xd90226c0, 0x7fddf5ac,
+    0xebbb7004, 0x4c16c758, 0xf37db759, 0xe3a6d9d4, 0xa2f5b725, 0xa068b3ed, 0x86283782, 0x2bedb339,
+    0x3414c481, 0xa0654c49, 0x8dbd255e, 0x6d333cba, 0x2d467b50, 0xcfd4950e, 0xc12c99b5, 0xda3a0e5b,
+    0x7b87f1a5, 0x5ab80630, 0x66777d5e, 0xe31bc89f, 0x6be02561, 0x4f57af06, 0xbd0ac1f9, 0xe46630f7,
+    0x8a151dc9, 0x190b11c0, 0xfd254fc4, 0x3e8aa11a, 0x31d30512, 0xac645bae, 0xddc69528, 0xcf05d616,
+    0x141ef81e, 0xf50c0f22, 0xfa24059d, 0x8734ad3f, 0x4a9f54c4, 0x089679ef, 0x07ecc206, 0x333043a8,
+    0x147bee67, 0x530a8a6b, 0x3ac7efc5, 0xbddb7510, 0x677acb4f, 0xc7d70768, 0xdaf3b19a, 0xa278b0c6,
+    0x956de611, 0x1f106fc1, 0xc24de3f9, 0xf021a41e, 0x6cf5868e, 0xbc75d911, 0xd8fa1d1c, 0xf7e97305,
+    0x8459f35d, 0xce71ee03, 0x2a74bfad, 0xa1c96297, 0x1e1ea0aa, 0x25f9720c, 0x1f8bf4e7, 0x3c8b671d,
+    0xd4d3dfad, 0xfafa3cfc, 0x62e2a7ef, 0x1f0b7bcd, 0x808f7719, 0x493786bd, 0x6f3c35f4, 0xb21a3809,
+    0xedafb007, 0x8b83c30a, 0xc05cf3a9, 0x1544448d, 0xb60075dc, 0xd9e5bc8c, 0x144641bc, 0x2a26dfaf,
+    0xd9c47bac, 0xebac9d73, 0xc66678fb, 0x8a6735e4, 0xc982fc81, 0x8529baba, 0x56833ccc, 0x7cfbcbac,
+    0xaa967f37, 0x1cfd6517, 0x1e96bee9, 0x21374382, 0x8d9f8a8d, 0xe9112d62, 0xd27e5cb5, 0xbef01c6e,
+    0x44adc13a, 0xa65acd98, 0xde86ada4, 0x53533f78, 0xb4166ed1, 0xbdc1a233, 0x0a82303b, 0xcf934ece,
+    0x82e16ca3, 0xa6c045a7, 0x0ec9bf97, 0xb35b1d45, 0x97f20eb5, 0x65df41b4, 0xa39cbdba, 0x6f89fdd3,
+    0x75b4e039, 0xe7e8e4c5, 0x76009a3b, 0xa5a2b4b0, 0x6c53433f, 0x2374f13f, 0x47eb90ad, 0x0c19d79c,
+    0xfdc15523, 0x83afafc4, 0xc4de7ff3, 0xc9c34cc9, 0x170d2830, 0xc7c8d49c, 0x1b2213ae, 0x4889fd3a,
+    0x75ea4f56, 0xceb84f2f, 0xd870b876, 0x137ba042, 0x10152f3e, 0xb65a135c, 0x3543a649, 0x4b3a5f98,
+    0x1873c91e, 0xfd244026, 0x230b2a37, 0xb483b627, 0x893ef4f3, 0x5249736a, 0x95bad999, 0x236d4f05,
+    0x7b257377, 0x4271a3c8, 0x196b7e85, 0x2a687561, 0xf6e34817, 0xf2231187, 0xf362768c, 0xf409f783,
+    0x720ff236, 0xd825d166, 0x4676ffa8, 0x9df13c9c, 0x1a3d4005, 0x7d7e9381, 0xe387151d, 0x3774c2c4,
+    0x17dce8a3, 0x9ed02f00, 0x51644a55, 0x21110753, 0xb151241d, 0xc91bfc76, 0x70d217bb, 0x5a5a4483,
+    0x8b94391f, 0xdd1faf35, 0x1d96b6e3, 0x0740910b, 0x3a965c34, 0x8756af0c, 0x09e8e13c, 0x58570e2f,
+    0xf4c69573, 0x05e9490d, 0xfc5cd7cb, 0x120f86be, 0xf7a348bb, 0xbca9f185, 0xedb5c398, 0xeaf26583,
+    0x7be5ad5b, 0x05fa055c, 0x7a15ebde, 0x9e4ff182, 0xd1d45071, 0xf9257745, 0x030277e2, 0x1fb983e9,
+    0xcf3d60e4, 0x9ef9a702, 0x3e870c46, 0xd1d4fbbb, 0x0065919e, 0xf5a7b371, 0xf77311fb, 0xae29d5ce,
+    0x5fea72fc, 0x5b606124, 0x15e16559, 0x152e4385, 0x21115abb, 0xc835ae85, 0xe5dade4f, 0x55d8b7bb,
+    0xcff67dbe, 0xfabc9cdd, 0x8cf587c4, 0x2225b087, 0x402f05e4, 0x71766152, 0x7ff0efc5, 0xb4911615,
+    0x1aa8490e, 0x77d08cfc, 0x1d47727a, 0x7f83f58e, 0x02bc19cf, 0x7d996d21, 0x459a690d, 0x29f3204a,
+    0x89aa80fa, 0xb18e80d9, 0x38766860, 0xd01baf54, 0x95db208c, 0x7a358f4c, 0x639a0a7e, 0x22f27149,
+    0x8d14e985, 0xbf5774ed, 0xea5cf089, 0x9204057a, 0x99e0d98e, 0x58bc6e21, 0xc2f6e4ee, 0x4a75afa3,
+    0x49053897, 0xac240b9d, 0x743df3af, 0x065f863f, 0x3e1e6ae8, 0x399bec1c, 0xa3720fb7, 0x48d27784,
+    0xfd2f1778, 0xad39b8bb, 0x839dea19, 0xee597bdc, 0xb92ba676, 0xf4a48545, 0xb86d4c1a, 0xc12e4939,
+    0xa2b170bb, 0xac2120f1, 0x154511b7, 0x493dc958, 0x778975b3, 0x911ce3c8, 0x24bb020b, 0x65ad4193,
+    0x651a01a5, 0x36272ccd, 0xc13a3b6c, 0x949cfa76, 0x0daf65b0, 0x3dc807c8, 0x4d2c4ed9, 0xdcdfa328,
+    0xf1aacfc2, 0xf41ae8a0, 0x9dcaeba2, 0xe7d2af43, 0x72cab143, 0x00032ed9, 0x9762e2d7, 0x64d222be,
+    0x517c4918, 0x3a6dff43, 0x7b69fa6d, 0xe7d37f23, 0xdaa9b68c, 0x8d58c287, 0x96cc3158, 0xc816b1e7,
+    0xb6b689df, 0x73b37628, 0xf9e13bee, 0x31607a12, 0x95c31c46, 0xdb405244, 0xb3ad5928, 0x7f3d5229,
+    0x6e2d2a42, 0xfa5b9a25, 0xb4c9e7d8, 0x59cc6d7c, 0xaa4088a5, 0x8a2f6faa, 0x136a1be5, 0x8c82057f,
+    0x4b673173, 0x27b4a47e, 0xc02a80ad, 0xecdec54f, 0xc93402ad, 0x6692aad9, 0x20807394, 0x6d917c0f,
+    0x8d4cf78b, 0x590dadd6, 0x895fec8b, 0x98a37ab4, 0xa5a2a1fd, 0x408367e0, 0x8b91846e, 0x0368c821,
+    0xdddb97a6, 0xe32638ef, 0x70388c2c, 0xad37c226, 0x8d498ac5, 0x61723ed0, 0x7f04212f, 0xd74c825d,
+    0x54fc19ff, 0x22d15756, 0xded8240d, 0x726c247e, 0x797ac36b, 0xf549bd5d, 0xa5fc7491, 0x2a40dbb0,
+    0x049c82f0, 0x687b7459, 0xf5da3472, 0x9b7e7469, 0xc3fa01de, 0xd3990f6b, 0xf8a6e42e, 0x47bea94c,
+    0xf79f8c30, 0x6e46a8be, 0xc59ca39c, 0x130f557d, 0x9210ca57, 0x6b22106e, 0xc40d22d7, 0x32be4397,
+    0x7ed3720b, 0x8e3a1e4d, 0x67febb91, 0x4245c2aa, 0x34fbd6e1, 0xabc02f0d, 0xa2601cd8, 0xf40ba4db,
+    0x1b1b728d, 0xe4200124, 0xa91bc9bf, 0xf50499f6, 0x1f89ed8b, 0x5e162883, 0x03c7187c, 0x73857eb3,
+    0xc271270c, 0x61803258, 0xbfe77095, 0x9ebcee29, 0x4afab23d, 0x5322fc8e, 0x07eb1fd1, 0x87a01e6b,
+    0x2fabf941, 0xc6b741e8, 0xe454ccf0, 0x670baca4, 0x9a2f7ea0, 0x7a2f0193, 0x8868de3c, 0x570fb5c3,
+    0x645d3b71, 0x1331b8a4, 0x31ba87e7, 0x9fe4122c, 0xb55b3008, 0xdfd13bdd, 0xdd690119, 0x31b23859,
+    0x4b9d73fd, 0x9c35cd09, 0x1783c908, 0x512716f9, 0x5094c9bc, 0xaa6d9dc6, 0xdf0701e6, 0x74f3ad68,
+    0x3f9cbdc7, 0xc6379e47, 0x3eec9e3e, 0xa1b001c0, 0x552d8793, 0x3bb5ef86, 0x91a5176b, 0x85e1f507,
+    0x40bdd639, 0xfa9fd1e7, 0x9d8030af, 0xcb154530, 0xbfbf9722, 0x4f2564fd, 0xba0bd406, 0x3e361307,
+    0x596841a7, 0xc8dee4af, 0x51b27efe, 0xeaf80341, 0x7a1c683b, 0x5c92908c, 0x226adb8d, 0xa76734d8,
+    0x03a14550, 0x421d7ab8, 0xddd80792, 0xee408115, 0x6f450d01, 0xb19d242a, 0x4d029c31, 0x19859218,
+    0xc4ae190b, 0x7caa2a33, 0xe6700edd, 0xf96cc93c, 0xd84adaf7, 0xb2e82901, 0x3af6d582, 0xd895970c,
+    0x9e3911cc, 0xb58d2916, 0x34b7057d, 0x70feb0e0, 0xdaa1f373, 0xbde337fb, 0xfac4dae8, 0xeb85dd3d,
+    0xc88c4259, 0xdd68d61d, 0xe4e0016e, 0x9cb4b859, 0x7a45b9e3, 0x5569f911, 0xe09e49f4, 0xa0972284,
+    0x2568a21c, 0x51a3ca76, 0x58178206, 0x4643f6f3, 0x307eae78, 0x02abe82a, 0x2f7d8da8, 0xc055cab1,
+    0x6d6d1f5a, 0x34755771, 0x11641543, 0x7db5a53a, 0x486d7a5f, 0x85782e47, 0xd798544b, 0x4a2793e4,
+    0xc684667d, 0x77bc7db1, 0x253fc9a7, 0x0213b2a9, 0x55d4c260, 0x8bf6b6dc, 0x020a0cf2, 0xab5fe307,
+    0x4c0d1938, 0x199b3473, 0x6aa46965, 0x4ef51d76, 0x583e1908, 0x20217df2, 0xad81befa, 0xee07d89e,
+    0xbb750051, 0x9b761db9, 0xc78bc643, 0x8789dcd7, 0x8495128d, 0x06ce7333, 0xc81fad74, 0xac1e3939,
+    0x073b8a41, 0x8cee9aff, 0xd7f22a8f, 0xdf31b678, 0xb3a01d69, 0x0db0367f, 0x3f674a4f, 0xf95823da,
+    0x9a406076, 0x88298f2f, 0x717a8feb, 0x99ff3e62, 0xd2da8f6e, 0xa0a327dc, 0xab017f0a, 0xc2ab90fe,
+    0x5b0e812e, 0x4c923984, 0x6820e020, 0x132aad74, 0x63f59b74, 0xbf2a242e, 0xa05d02af, 0xa78ba05d,
+    0x6224e3bf, 0x28017f90, 0x36a1dd8a, 0xf70d1580, 0x321c8a31, 0x3ad2910a, 0x8eff85de, 0xd664cdcc,
+    0xba07ac99, 0x5db61f8f, 0xcf509b2e, 0x5bd37936, 0xb85c62f1, 0x740b1b52, 0xcb5e49d2, 0xee20b2dc,
+    0x337f54b6, 0xfd881aae, 0xed949f5d, 0x44a60329, 0x403946e8, 0x37acddfa, 0x769ca70c, 0xbf0cd8c3,
+    0x5f8f0310, 0x8cf72321, 0xc0a12c71, 0xfb087c8c, 0x4b0d2e28, 0x22000d64, 0x3d0eaf3b, 0xc5b7b7f5,
+    0x69d33289, 0xff0d0783, 0xdb64b893, 0x2e0d8fd7, 0x19ddfc3f, 0xb29d29b1, 0x5c17d0a1, 0xb7d82f8d,
+    0x1449078a, 0xa3ca4fb4, 0x99b036f0, 0x78617cc6, 0xd4c71911, 0x35d2895a, 0x7e7fdcfd, 0xd5104da0,
+    0x45f6c618, 0x5224c663, 0xcdb386c8, 0xb984de1e, 0x9d411c8a, 0xa756a718, 0x82e5d062, 0x96caa2c9,
+    0x3bff9415, 0x67dc8ccd, 0x02bbf603, 0x634ed3a3, 0xf4cd7188, 0xfac256e5, 0x88ea885f, 0x2e07500c,
+    0x695b2e55, 0xef65cb55, 0x85728294, 0x164f75ba, 0xd9d7515c, 0x4b54921b, 0xb1e72738, 0x969b2f0a,
+    0xd34c523f, 0xad17d3d8, 0x6144e474, 0xed1a2550, 0xaf725632, 0x97eaec4c, 0x88dd7ea7, 0x9c096193,
+    0x90fc1bbc, 0xa6e42338, 0x69491de4, 0xb3463c16, 0x5534682d, 0x7e60a25c, 0xb63b7aa7, 0x8d725d3d,
+    0x14e5f0cd, 0x78f134bc, 0x19290a74, 0xec9dd39b, 0xb49be3e1, 0xda66c5e9, 0x6c048a0f, 0xc584f7d9,
+    0xbcfe2786, 0xfdf1b872, 0xf73d0af6, 0x9fadf9d9, 0x5c9d5369, 0x619f93ce, 0x2e2f2ada, 0xf056efd4,
+    0xe4538310, 0x21ecaa51, 0xb21ea1f1, 0xef490c7a, 0x4b58d512, 0xf015bb2f, 0xb7be3ef8, 0xbfb117aa,
+    0xe8965cee, 0xa4d27b9f, 0x92405696, 0x30e070d2, 0xb115021c, 0xf82bfa14, 0x139c2206, 0x09d5e75f,
+    0xf36188bf, 0x91dd8419, 0x65af68de, 0x50caf246, 0x36705ef7, 0x21720b14, 0x0d31c949, 0x3dd06e68,
+    0xb9a1563c, 0x97d932ab, 0xebae0c6b, 0x6f620864, 0x6b0d1999, 0x48ced8ce, 0xaf73b929, 0x2dd83464,
+    0xf0d56e86, 0xa2f0f516, 0x783916d7, 0x1d5af15b, 0x7da6b9cb, 0x16ddcbbe, 0xf656eacf, 0x45d23b98,
+    0x10d83552, 0x40bcf2a7, 0x2ea4797e, 0x73e2acd8, 0x897ca628, 0xdeb825f3, 0x51c7cbf8, 0xf88a9e93,
+    0x13b46edc, 0x3e870015, 0x8915bbec, 0x27be6a24, 0x5a0dc2f6, 0x0e618bf5, 0xac318feb, 0x5ce8b03a,
+    0x171fbc5c, 0xc4058064, 0xeaee70b4, 0x88d87102, 0x32cada02, 0x196c869d, 0x2d0cd0ea, 0x38f2aaba,
+    0x0da7b02d, 0x4933a317, 0xc50b92ab, 0x5d6f9d34, 0x9d624339, 0x988e4997, 0x77d2ed19, 0xb7a3649f,
+    0x6681e34f, 0x18fec8f6, 0x8cf94774, 0xe6a0cf4c, 0xcedbad55, 0xf54134ff, 0xa1f9e4aa, 0xcd287462,
+    0x2de455e2, 0xb63e7092, 0x399b4722, 0x4dba58d3, 0xb5c4d267, 0x5819933d, 0xb2cd10d1, 0xa931da1f,
+    0xd6c9a969, 0xdb57c2e0, 0x438e9098, 0x2aca4a02, 0xbebf150d, 0x28a3f183, 0xbb5e1ace, 0x77ac7a0b,
+    0xf28bd7d9, 0x49f9abeb, 0x871b058e, 0x6a54612b, 0x4e203d52, 0x06e5825b, 0x348659e1, 0x52fe7b1d,
+    0xaeacc541, 0x9514cda5, 0xbc5a5a48, 0x67484508, 0x8af0fa26, 0x92691bfa, 0x62b64dae, 0xaf90de39,
+    0x805d705f, 0x1f29b55d, 0x7c186579, 0x88651476, 0xc9c372c2, 0x7cd8067b, 0x9e14b565, 0x731c80cf,
+    0xce208841, 0xb0e18bab, 0x94045c44, 0xeb1be0bc, 0x4ea9f100, 0xeb91a595, 0x408c5792, 0x95d2834c,
+    0x187698f5, 0x4099c9e6, 0xeba1fb5c, 0xb9a79257, 0xb04c3b82, 0x804bbeed, 0x72ed5b76, 0x239e2500,
+    0x84bc8f72, 0xa571bb82, 0xc1a36b6e, 0x483b0f82, 0x846313de, 0xe0bedef8, 0xe0195afa, 0x8ec92080,
+    0xbbd5450c, 0x619fa0da, 0x3897a6eb, 0xb909601e, 0x87281034, 0xad1b96bc, 0x1aa6896f, 0xd729f95e,
+    0x4d950485, 0x9a6700ee, 0xecb37027, 0x7424d36c, 0xc41e1a55, 0xbc155ebe, 0xe3c027bb, 0x7f123d2f,
+    0x7160a781, 0xadf44c52, 0x01056f5a, 0x3ed7b6ab, 0x51a1e0b6, 0xf750a267, 0x5456db54, 0x783b0134,
+    0x6bf862a3, 0x80b0ac2b, 0x3546eda1, 0x62ab2231, 0x65c142c1, 0x0eeb73db, 0x5db9bcd2, 0xec221805,
+    0x565e868c, 0x6b79c4d5, 0x61c4d857, 0xd7eb19d7, 0x791eeb2f, 0x30451ace, 0x2ba5dc79, 0xa82b6689,
+    0x20a406c0, 0x6c8a36ab, 0x459817ee, 0xa5c1b89c, 0xa5f395f3, 0xc921a80b, 0xa0074919, 0xc05755f5,
+    0x5d64e4e3, 0x108ec4a1, 0x5907e9b9, 0xaa710a82, 0xa6172c1b, 0x72da42bb, 0xb5bb2a8f, 0x8b560f4b,
+    0x62d9c794, 0x0cfc445c, 0x6b79b0fb, 0x8c702844, 0x4b2325b1, 0x4f2a0b11, 0x17031487, 0xff6818b5,
+    0xb9ae946f, 0xc98b2792, 0xb6150308, 0x82870642, 0xfc87f3b0, 0x9f30f8ba, 0x82048956, 0xf87b0963,
+    0xa6e8343a, 0x9611e60e, 0x8bb7b3eb, 0x191f9a62, 0x0bd09f79, 0x7e7becbf, 0x45a7df5c, 0xaeb7079f,
+    0x5634ab58, 0x6a4eefca, 0xd27b5b2a, 0xde896848, 0xccf5e2f3, 0x9543c53f, 0x89030bc9, 0x6999f1f3,
+    0x9a49480b, 0xe0a50d37, 0x692e2c7a, 0xa17634a3, 0xd333c18f, 0xb68fa354, 0xd348e1f6, 0x861c5479,
+    0x6ac4d91d, 0x63372828, 0x9493829c, 0x3fa79078, 0x5fd18dba, 0xc971082a, 0x14164a34, 0x4b61c8d6,
+    0x28610f06, 0x1c273d83, 0xb35fd8ed, 0x0c72251c, 0x266c2076, 0xdd060ced, 0x3d6f56cf, 0xcb8462f0,
+    0xbc98f93d, 0x4f9e62e5, 0x5797bcf1, 0xb2a66bf8, 0xc50b4739, 0x32cdc99b, 0x263e97fe, 0x516d23e7,
+    0xb6bbdcd7, 0x9fb52280, 0x0732244f, 0x48059bbe, 0xe3a92213, 0xaaff24ff, 0x736a9c25, 0x0b64ed6a,
+    0x39f18545, 0x50e8b2d3, 0x29942521, 0x07aa0abf, 0x9f8cec74, 0x3ece2bf1, 0x768fb54f, 0xe837b7e7,
+    0x00000000,
+    0x14f5e507, 0xaa4e297a, 0x62e0eda0, 0x10b11570, 0x317ccd78, 0xbfbe8c3d, 0x58b724a9, 0x00e42629,
+    0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000826319960987810748689894135040963799785505853\
+                          70535152410581099409300723904538918228148651304964410605948901503127919788032 */
+  { 0x00000000,
+    0x9f89813b, 0x3d833832, 0x65f54b34, 0x62921558, 0xc8540e79, 0x7c52b344, 0xd6bb5ba8, 0xdd0a6b4c,
+    0xc0220a3f, 0x1a6cd1d1, 0x9b4f0213, 0xa60578ab, 0x4a67744e, 0x9de5e1dc, 0x313af522, 0x977b34d2,
+    0xe8418acc, 0x77aacdb2, 0xee28f5ad, 0x8e44d17d, 0x7797b0f3, 0x93f54429, 0x8f90e478, 0x92cfbf2b,
+    0x1973d8d8, 0x35b97b3d, 0x21870917, 0xc59f682a, 0x961489dd, 0x8390b7b7, 0xb1b06324, 0xf9afd475,
+    0x9a7b4e48, 0x7d1b418a, 0xfd13cae2, 0xd0f147d6, 0x7e1dfcbe, 0xe15348b9, 0xecb0b4b8, 0x6096bb7f,
+    0x0dc7d1ed, 0xd16ef043, 0x47220b62, 0x149e3c95, 0xdde69521, 0x8012a654, 0x80836e20, 0x43203877,
+    0x62f6ff4b, 0x68aaad64, 0x4abeaf45, 0x9c45734c, 0x96e1596e, 0xd0d0100e, 0xc268037a, 0x27685ebe,
+    0xa85b61a4, 0x2256f32f, 0x5d13b82b, 0x3a9e2619, 0x891f4e55, 0x6f27f8e5, 0xfe153c0c, 0x81c1fd52,
+    0x43a5897d, 0x408973bb, 0x22f9d074, 0x7355e369, 0x55655c2d, 0xbe6b75d2, 0xd9d01182, 0xa524dda5,
+    0xc4f6cef2, 0xf0508078, 0x0df6464f, 0x095db38b, 0x8f14c6eb, 0xfc5607fe, 0xd0b5261c, 0x92dca6ba,
+    0x1bb60376, 0x58f12ab6, 0xd075e75c, 0x9dea0985, 0xca90ffe5, 0x891056c7, 0x344b5b67, 0x154f9cf1,
+    0x0794cc3a, 0x1091f050, 0xe7fc7783, 0x04443563, 0x6d6fe47e, 0x60230f5c, 0xfd7eea0a, 0x10dea94a,
+    0x17a38e09, 0x81e25837, 0x8170812d, 0x491d5ed3, 0x22246ccd, 0xbf19e404, 0xbcf4a99e, 0xd29ea8b7,
+    0xcc48dd0b, 0xf284c125, 0xb7fcc613, 0x49043cf2, 0xb1f9b602, 0x113a20de, 0x29ad07ea, 0xaf517495,
+    0xe61d1db2, 0xb426d573, 0xb49e72fe, 0x05c454ba, 0xbb7aad36, 0x7f479ca3, 0x077ead44, 0xafe1dd91,
+    0x29cb1bd6, 0xf3d9686e, 0x4731ad36, 0x5adce1e9, 0x070c960b, 0xac81c5b1, 0x5c3af64d, 0x809128a7,
+    0x2016f617, 0xb2cb3179, 0x88f4ae1c, 0x19e75297, 0x69b3a800, 0x260caab8, 0xb3e89f7f, 0x471de7a3,
+    0xa84ca5d1, 0x2170edcb, 0x5b0ebf9f, 0x3fa5ed70, 0xcbbd79ec, 0x59bcdd3e, 0x0c2ba743, 0x06739e61,
+    0x96e17d52, 0xcf6c00d7, 0xe1161790, 0xb415d29c, 0x15c82d4a, 0x29631b96, 0x4de19bac, 0xc9d64818,
+    0x18c6c8e6, 0xd16dce9e, 0x16eda192, 0x23c3f864, 0xa152c0e0, 0x13eedd96, 0x3e3e7596, 0x6fe1c79b,
+    0xbcc2346d, 0x61e1d160, 0xd51751df, 0xcc7be809, 0x1a73e8c4, 0xf94b8509, 0xa4d71343, 0x2873d363,
+    0xc5d52e57, 0x3636682d, 0x9448abae, 0x77eaab53, 0xbdf57715, 0x8b53ec4e, 0xed2fd47f, 0x5d0b8cec,
+    0xce93872e, 0xf11be806, 0xa1f1e746, 0x079d4bcd, 0x1799ee50, 0x18cb9414, 0xbf7be29b, 0xee622de6,
+    0xe6cbb8cb, 0x834c8c60, 0xa738d4cb, 0x7b16a9c7, 0xad247be0, 0x7d3e0d9f, 0xa1a60e5e, 0xdf57348a,
+    0x4aeba4bc, 0x450ed0f1, 0x7bce004f, 0x2f9bc91e, 0x3d5fc9c0, 0xdfa3734b, 0x72ee845d, 0xa0021047,
+    0x1a99fe0c, 0x8d7e43fa, 0x747a26e7, 0x1094fdd6, 0xc7f751d9, 0x3cf34f2b, 0x8e87755f, 0xd1b206f0,
+    0xc962c3c7, 0x2adf3d7c, 0xf59aa077, 0x86fc9d19, 0xf75c2c8b, 0x70e641e6, 0xdf0c46af, 0x78b25954,
+    0xd2fb032a, 0x2a4404b9, 0x0e0c196a, 0x8c1cf07f, 0x1566df03, 0x84caa4e8, 0xac6ce7e8, 0x65305f06,
+    0xef43d0e4, 0x2273308b, 0x8e53d0f7, 0xcf16a9c9, 0x0c9b0d3d, 0xf3756189, 0xc7ca2e96, 0x7bfc9465,
+    0xad433d5f, 0x776b8142, 0x2390b6f1, 0xa8055854, 0xb54cf92d, 0xd500ada2, 0x4d77ad44, 0xfef1c502,
+    0x057d67dc, 0x89bd1428, 0xdca539eb, 0x66f57b75, 0x0da7330c, 0x4effef90, 0x13578c52, 0x6809c457,
+    0x9dca123d, 0xa241ff34, 0xf11559f1, 0xdadfa7e1, 0x400b069b, 0xf280d15e, 0xb52ed1c7, 0x0a59c910,
+    0x3a56de26, 0xaef2c415, 0x9257ee69, 0x16870344, 0x732380f7, 0xa640553d, 0x4e835ed4, 0x5c840c1d,
+    0xc5d7bee9, 0x01104c77, 0x5ba1523c, 0x920b27e0, 0xb6d40b57, 0x0e5ec1c9, 0x71f98c84, 0x58d0e7dc,
+    0x7a0580cc, 0xb92adfb0, 0x558ae092, 0xee5fa4b7, 0x47d653ba, 0x851c6fe3, 0x255d50ef, 0xa93b7161,
+    0x336351b4, 0x144705ae, 0x2675268f, 0xa42bfdaa, 0xda776e69, 0xb857b772, 0x46e0852b, 0x16369a36,
+    0x8bcab089, 0xfacfd6cd, 0x5ab7d149, 0x2960ea92, 0x580c6a83, 0x459b0ff8, 0x7bee242b, 0x71665f96,
+    0x00782862, 0x4dbafceb, 0xb3c6710f, 0x6cc15997, 0xb45b0257, 0xefda6d70, 0xdc713fe4, 0xc45d6e67,
+    0x575c6026, 0xa7d6d2a2, 0x7c979f62, 0x26b4cd76, 0x0f281959, 0x27505ac4, 0x550a78a1, 0x94e30c70,
+    0xd91f2b0f, 0x13de14e4, 0x284855e8, 0x0c70f042, 0x9013c9c9, 0x9691ef33, 0x13d14b36, 0x490c1ace,
+    0xc2f88711, 0x1960071e, 0xebe73114, 0x4b4246eb, 0xdd8135f1, 0x3bebf89a, 0x4a9a0d75, 0x59c5a63e,
+    0x886aa30e, 0xc0454c42, 0x90484d37, 0x0817e8a5, 0xe83e63d7, 0xee966bc6, 0xac37e1b5, 0x41df4144,
+    0x2c4329ec, 0x536c2e18, 0xd90e3401, 0xe18fd8e6, 0x558841c8, 0xe6a3e32e, 0x0dc2de57, 0x7aac7f0e,
+    0xfe5e4fdc, 0x08f1a9c2, 0x946ada00, 0xc6146a74, 0xaed26227, 0xead8958e, 0xbd17d2c7, 0xd62f63e9,
+    0x490de6ec, 0xc4f5cc99, 0x99c3d168, 0x561a6579, 0x1e770a30, 0x15638c6e, 0x579e61eb, 0x6269dff4,
+    0xed000b62, 0x7f03d039, 0x12982c8a, 0xf78d5fdc, 0x7447bd61, 0xbed2d72e, 0xa814c19e, 0xb7a4b59a,
+    0x2af37371, 0x19f836de, 0x33e8220c, 0x25c2b48c, 0x89874f00, 0xcae76bfd, 0x73f79cea, 0x2f3c8f2f,
+    0xc7f927e2, 0xc8826bb1, 0xf0223212, 0x1b1a5e18, 0xc857f9c3, 0xd8192b71, 0xd4b747d4, 0x91a90c70,
+    0xbb494ebe, 0xffe1f89a, 0x316f11a5, 0x8e19b1fa, 0x43052cd1, 0x8a5ca1d1, 0x3ebc24eb, 0x21a6ac86,
+    0x42d25e18, 0xd8ef7b75, 0x2ad8660c, 0x4138c681, 0xa5a1f2c5, 0x946e75c4, 0xd2c0400b, 0xcd247082,
+    0x3c24dfc1, 0x6079f3b9, 0x286edc4a, 0xbc516f49, 0x528165cb, 0xf1d987cb, 0x1ff11bab, 0x35b194a9,
+    0x74c0d9d2, 0xf937d3ff, 0x9c37a339, 0xe63074df, 0x6ece97ba, 0x249dea15, 0x8fe37d9e, 0x7ee7b9b5,
+    0xce1318ad, 0xd5a42f50, 0x73b321f5, 0x6dd9cb53, 0xce4e019c, 0x03a5ea51, 0x8eb17d0a, 0x441fc86d,
+    0x9c741444, 0xa74fd45e, 0x3de45dc1, 0xa8039a15, 0x39c7371b, 0x8f8a5dc8, 0x99c83be7, 0x41206f35,
+    0x23e2f4a8, 0x2c2b64cd, 0x67cd7e46, 0x1730beba, 0x82e9f418, 0xc53ce64d, 0xefb75b01, 0x475e05de,
+    0x5c720f1e, 0x69f779e7, 0x7620bef9, 0xb07ca34d, 0x8a388f6d, 0x9cb17789, 0x2895c2ae, 0x179aea7e,
+    0x3b4c83ea, 0x3440d117, 0x4360c727, 0xff65f6f9, 0xb4542361, 0xb679d3fe, 0x9536daf1, 0x45efeeef,
+    0x83d5fd34, 0x49cb9513, 0xcabb9c24, 0xdd62abbf, 0x364cca1c, 0x08642efd, 0xd23184f3, 0xd5375fc8,
+    0x70b4a117, 0x5f16a93d, 0xa0ec2cba, 0x5a4ede31, 0xa529bc46, 0xb07e53d3, 0x9f900432, 0xe23a955e,
+    0x3901a118, 0x8b0be45e, 0xdc3d00d1, 0x76586616, 0x84f964a3, 0xb4210d25, 0x12c23d45, 0x9d8c2638,
+    0x22a1f042, 0x67a286de, 0xcb8bc020, 0x77305084, 0xcf504360, 0xc7b61de7, 0x2c8f9ab4, 0xc6e7ccae,
+    0xa8d48a5d, 0x92ada608, 0x72766bcc, 0x50008ed7, 0xc65ec43d, 0x6bbf10db, 0xeb5a4286, 0xd128a3d5,
+    0x1716bb5e, 0x6795c21a, 0xdbb63271, 0x1b17121d, 0xb54d8398, 0x04c5e3c0, 0xf9865af6, 0xe1bb718f,
+    0xc09c02c3, 0xedae4fa9, 0xc4e3ca21, 0x2b8db4e3, 0xc4112c3f, 0x4b2ef10b, 0xd0bed719, 0x686b6b55,
+    0x3d551270, 0x79e5652e, 0xce47d0b0, 0xaba55f04, 0x33966ca8, 0x3f761a43, 0xa80ee102, 0x5df33bdb,
+    0x5be0dc15, 0xd8738d1e, 0x7df4002b, 0x026b5bfd, 0x2a70506f, 0x944349a1, 0x7db783e8, 0x00462f34,
+    0x17deb651, 0x37228f29, 0x14568429, 0xd6e9815c, 0xaf021d70, 0x8ed02e8f, 0x80981b1d, 0xf6e0f423,
+    0xca021dc6, 0x1280717a, 0xd58cccbb, 0xb62ce41e, 0x7e45cab5, 0xfa6c9aa0, 0x61bab027, 0x9de642ae,
+    0x6dbc50a1, 0x297add02, 0x7fa9a4a0, 0x12629968, 0x4d397e94, 0xb19360b1, 0xa5838059, 0x5ad06527,
+    0x1bb909e8, 0xae175d10, 0x8016a0a3, 0x14abc05b, 0x032d399a, 0x187f5135, 0xb4e47d02, 0x1c610d4a,
+    0x1419227e, 0xea96e24f, 0x27e6da3f, 0x339ebe27, 0xc3241937, 0x848b4c5f, 0x94ba6c15, 0x8f14d971,
+    0x3df17f98, 0x53d9ca5e, 0x90bf6649, 0xb500ce9b, 0x89884097, 0x0a7ba103, 0x8dbb478b, 0xeefb049f,
+    0x3e1c817c, 0xfef17d88, 0x026c876a, 0x735149d5, 0x9b4a69ea, 0x5e3678f3, 0xa7fc2284, 0x74de0380,
+    0x644bcc12, 0x8f080f19, 0x3c172339, 0x60636c60, 0xeb6580fe, 0x781a64a7, 0x1e2b4084, 0xa7e48c01,
+    0x9f91831b, 0xc5521509, 0x9f901a1f, 0xd89db11e, 0xd7ba3c57, 0x4a3f0c10, 0x0c40f05f, 0xabe6d352,
+    0xfcd49138, 0xe8c0254d, 0xde83f9a0, 0xaf38c129, 0x7229b8e3, 0xc6c89f0a, 0xc15132d2, 0xb55e14fb,
+    0x62bcd2db, 0x0d4dd5aa, 0x8816cb61, 0x73e8f6db, 0xffbd0d4a, 0xc3444379, 0x6e5ff214, 0xb0d36c24,
+    0x10ec61f0, 0xb8bf2637, 0x6c3b1ab6, 0x6f3faf0b, 0x0f3febb8, 0x19c3c536, 0x3098f67c, 0x2c1aa89e,
+    0x1111577f, 0xc759f034, 0xa4f930c7, 0x16de4e8a, 0xc46ae3fd, 0xe3e47674, 0x0c686c02, 0x06be3cfb,
+    0xe9ac1765, 0x5e3cba2f, 0x90eb61e6, 0x9bc86e66, 0x40ea63a1, 0x88fe5d9a, 0xa820b43a, 0x19466189,
+    0x3395a7a3, 0xcf59449f, 0x08535323, 0xc811062b, 0xe2389036, 0x9d9b224d, 0xd4295360, 0xb60c0356,
+    0xc118f91f, 0x23250cc7, 0xcbf1cc8a, 0xeb3e4080, 0x8e1d7e93, 0x3d2c09b4, 0xfd349f03, 0xad85d214,
+    0xa9b4c213, 0x41fe584d, 0xa5803dd3, 0x6a11fed3, 0xafe00d6e, 0xda32916a, 0xdb0f126b, 0xe5b7c53a,
+    0xe6afadfb, 0x343f5a7f, 0xe070ec9b, 0x7fe5953e, 0xe6b9ff40, 0xf0acb3b8, 0x7fd16cb9, 0xee430d9d,
+    0x48d603d2, 0x8c1d4a17, 0x3b4896c2, 0xf2137324, 0x462e8fe5, 0x4286e68f, 0x02de447d, 0x2260d190,
+    0x25d3c07d, 0xbd3d99c6, 0xed31f03f, 0x43eee443, 0xa03e1ce2, 0x0711e475, 0xe188a52b, 0xfaba8241,
+    0xfef9801c, 0x16fe97f5, 0x1dab7118, 0xb664c7dc, 0x207364e8, 0xc371e09d, 0x677a3b84, 0xaa9ccef5,
+    0x98c14b51, 0xa03e7f5c, 0x6238a695, 0xe96fd541, 0xd01a89ab, 0xb9bb4bd2, 0x021638e4, 0x71f01e15,
+    0x3a9c72fc, 0xcdc44124, 0xf51aefc7, 0xe8b2d4ae, 0x7d4e02fb, 0x6ea8e060, 0xfc2e1a8d, 0x91085859,
+    0xce88934b, 0x4c5b9984, 0x5de607a5, 0xe83e05b1, 0xe9dc5fb3, 0x5777cce1, 0x72b4d5de, 0x933ce44d,
+    0xdf2e07ea, 0x7cc59c9a, 0x8ef1c89d, 0x158caf77, 0x7f0c3d54, 0xfc7a6809, 0xe395fa02, 0xf15b3cc4,
+    0x90d3da81, 0x8b9ad426, 0x3880354e, 0x56600434, 0x0c2f8061, 0x7b1eda5c, 0xf5f59d64, 0x00508667,
+    0xb44ee53f, 0xa1e9421e, 0xdf19ee40, 0xcd366180, 0xf5dcc665, 0x6ef0327a, 0x0d6e015a, 0xbe1a224f,
+    0x116171c6, 0x319abb2b, 0x932134d2, 0xd3c7448b, 0xaf75a1ac, 0xce5a17b6, 0xbdb1feee, 0x9ef0e82d,
+    0x0d0b57ec, 0x7c7cee26, 0x9021821f, 0xd6cc3c87, 0xe4ff56cd, 0x18692db9, 0x0d58e6bf, 0xedae028e,
+    0x830406a0, 0xf9f50a81, 0xd104b6e0, 0x7c5d75c2, 0x79d60c10, 0x3177cc6b, 0x9227bda6, 0x79583bcd,
+    0x9b1e3b36, 0x30203d08, 0x6a520e98, 0x1e559792, 0xc9f6614f, 0x9bad3ab7, 0x9123bfbb, 0x8360c3b9,
+    0x7e676595, 0x5883fab8, 0x62ad47a3, 0xcdac89bf, 0xe9722ce4, 0x42705522, 0xe9834b47, 0xd6b7ccd1,
+    0x11da4a7d, 0x53a3f503, 0x9a66c7be, 0xe41ab7d7, 0x3ec36bec, 0xe1e59ee0, 0x549b124a, 0xeb8c10b1,
+    0x10782e06, 0x76631b0e, 0x6f606f8d, 0x5d2eb505, 0x27823859, 0x759dab11, 0x15d8c4c2, 0xb4255f32,
+    0x9a675ff4, 0xe81ae7c0, 0x129a9c4e, 0xf4719de3, 0xdcdbd935, 0xa0fe6231, 0xd8018c57, 0xb81bdc5d,
+    0x593c3f78, 0x13bb659b, 0xa81e36f0, 0x260d5f18, 0x58fc3db3, 0x966b6198, 0xd8e6351f, 0x0f12c2f4,
+    0xf20e2f70, 0x6b772046, 0xde88aeca, 0x94aa4281, 0x63525085, 0xa2ece488, 0xe9b119d5, 0x302f25c6,
+    0xe26bea9c, 0x2d97d5fb, 0xdbd0a635, 0xf286243e, 0xa1610023, 0xad6ddaa3, 0x1f376518, 0x4f9fdfb9,
+    0x54674607, 0xfea3455b, 0x85d18f24, 0x95db8e46, 0x6b8a8598, 0x003d2f75, 0x44151d0c, 0x57acb39b,
+    0xbc48cab1, 0xd030e1e1, 0xc0ddc27a, 0x08a17661, 0xe9520ac2, 0xb9fddb28, 0xfb7e30fa, 0x3da23fb6,
+    0x29cd62ec, 0x06efa944, 0x81b9c3e4, 0x3bc2ab5c, 0x5c89167c, 0x96cfe928, 0x7f64f9e1, 0x79acc241,
+    0x9a47441a, 0xda3cd15b, 0x09391124, 0x8a9acb22, 0x1b3e46de, 0x0808a859, 0xde0da7f0, 0x8088ce21,
+    0x977c561d, 0x4edf2c1a, 0xb79f59bd, 0x49b06390, 0xfb49261e, 0xb71a2315, 0x57bd7692, 0xfc3a0a0a,
+    0xd36d3683, 0xa487634b, 0x8bbba608, 0xe2dd3950, 0x32068685, 0xfe10857a, 0xef3be343, 0xd03595eb,
+    0xb7c652ec, 0x2a04b867, 0x53dc0e5b, 0x251383d9, 0x9c65837e, 0xb539cc78, 0x5ace35d1, 0xec1e9e20,
+    0x8ac9599e, 0x0440a5f4, 0x4131cd53, 0x54736c14, 0x95afd090, 0xc753a844, 0x34a0d923, 0x41564033,
+    0xcf8335ed, 0xbda4c725, 0x708979ed, 0x89c1b1db, 0x2a198407, 0x59f9a828, 0xf70c135a, 0x219a58c5,
+    0x47934716, 0x5df71252, 0x5ed681be, 0xebaebeba, 0x37859e31, 0x22813a70, 0x51b80305, 0x0b3dec0a,
+    0xc5ab262f, 0x3ff41457, 0x6225c3b1, 0xff1a71d5, 0xef69badf, 0x73d52ede, 0x305770b9, 0xa0df9364,
+    0x22aeb496, 0xca7ba253, 0xd0985ada, 0xec96110c, 0x12425de3, 0x59c3f038, 0xdc6c7797, 0x10f87648,
+    0x1fe69b31, 0x213a1982, 0x9a562ad9, 0x2d2cf5f4, 0x8cba2934, 0xa91e6dbd, 0x3d4f0504, 0x527ac6f7,
+    0x4f356b1c, 0xa3a9a767, 0x9047fb28, 0x9a12ba43, 0x241b2de7, 0x4357bea1, 0x8d255994, 0x4d89a916,
+    0x936697cf, 0xb6a4c60c, 0x0537de12, 0x085d66c6, 0xef96388f, 0x3b759e61, 0x9d5bf9af, 0xd0bdfe1b,
+    0x51926ef0, 0xeb61a441, 0x3c1777a5, 0x75b90b65, 0x5015af1e, 0x23c3fd54, 0xb0b93afc, 0x314cbddc,
+    0xe54eb419, 0x0cf099ae, 0xb5fdbc9e, 0x2fdd3bc9, 0x1ed414f8, 0x116ade77, 0xcf9cae61, 0xb58889cb,
+    0xc990390b, 0xf2b01b33, 0xc8717c78, 0xf1a06a3f, 0x4e223338, 0x898e4398, 0x675cecef, 0x84adb0cc,
+    0xf2dd60b1, 0xccf82781, 0x97bdde25, 0x3788f5ec, 0x3fca906b, 0xcce80d0f, 0x84f705dc, 0x4592f1b0,
+    0x0e91b7cb, 0xf8746aa9, 0xcea44a21, 0x2e80c908, 0xc38bc5c3, 0x6906c321, 0xf55336d3, 0x77b83467,
+    0x5fa6db19, 0x46e22d0c, 0x772841f5, 0xc819ca38, 0xa6c4db20, 0x353c2e7f, 0x403e4b19, 0x691adec2,
+    0x0b7dc19b, 0x947b6f2c, 0x54c38068, 0xddeb5192, 0x0bc8bdab, 0x85ae7948, 0x7f1daf4d, 0xac67f562,
+    0x00000000,
+    0x0a7af283, 0x552714bd, 0x317076d0, 0x08588ab8, 0x98be66bc, 0xdfdf461e, 0xac5b9254, 0x80721314,
+    0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000413159980493905374344947067520481899892752926\
+                          85267576205290549704650361952269459114074325652482205302974450751563959894016 */
+  { 0x00000000,
+    0x8f8a0e6c, 0x5b03f90c, 0x27d8a36a, 0xec53b6d9, 0x9fe2d1b6, 0xf8fcdf21, 0x3971275a, 0x1530425c,
+    0x6a182520, 0x6f5bbab9, 0x86c815bb, 0xdc1b40c6, 0xbfd3200e, 0x27421247, 0x70380b8f, 0xb69ec3ce,
+    0x8881551a, 0x58fc3421, 0x9aa98240, 0x546375a3, 0x7cc3ec95, 0x6ebd4899, 0x19ab90e7, 0x672f20d6,
+    0xc9cc5908, 0xbef2d0bc, 0xf52ee83f, 0xfb0638b5, 0x30ec48b9, 0x6321c8ad, 0xc776bd2b, 0x8040db35,
+    0xdc789ef3, 0x91b7e55e, 0xac0e837a, 0x70299ec4, 0x764d2c42, 0xe09e6839, 0x1fe362cb, 0xae5683a1,
+    0x1038164e, 0x5ce91760, 0x07cdc699, 0x2740c5a4, 0xff12e48d, 0xe22baa9d, 0x6848459d, 0x14f92134,
+    0x951f5d17, 0xf8d0f255, 0xa2988e61, 0x86006ed6, 0x0168b6d4, 0xf60dcdbb, 0xf0239843, 0x1c51f4c1,
+    0xc55b84d4, 0x5f139d4a, 0xa210851a, 0x2594c69d, 0xd4b76474, 0x21a8e8b1, 0xa7019307, 0x275522cf,
+    0x7b9a27f4, 0xa0495f95, 0x6ee78916, 0x97e15fa0, 0x2d1063ed, 0xa2538a99, 0x40ff8137, 0xdb4a4583,
+    0x769cf792, 0x9de982fa, 0x9d028caa, 0x40765ca7, 0xc05476fb, 0x3600f291, 0xf2b58a21, 0x3a72b975,
+    0xb699aae1, 0xa9ac3603, 0xe2c623a7, 0xe66e6a8a, 0x8b047a63, 0xb0f288de, 0x5b1b0acd, 0x40bb154c,
+    0x1e2ec542, 0x4ac7dcfb, 0x1bec5287, 0x74b3438a, 0xfb55daab, 0x78f4d2c2, 0xb7de0d1d, 0xef1aacbe,
+    0x2063acbf, 0xeb69a7c6, 0x9f4e62a6, 0x5eb1d7bc, 0x99f7b2b8, 0x55b52175, 0x36d87518, 0xe2bb3216,
+    0xe544166e, 0x749649fd, 0x674f87ac, 0x19d0ffe9, 0xfa718a42, 0x898ec579, 0x30632f2a, 0xc0eecc90,
+    0x040c05b4, 0xa1ca8ce5, 0xed30d722, 0x9c3ed4b9, 0x5267b31d, 0x114bdcf6, 0xb8a51a31, 0x5356acb3,
+    0x7e3b737f, 0xa8c4e12d, 0x4853d751, 0x8b26029b, 0x41c88c0f, 0x412f7db1, 0x2e72e564, 0xf025ba16,
+    0x79ada549, 0xcefc2631, 0xe431e02e, 0x6ba7b7fd, 0xcd89d411, 0xd6f74d97, 0x96a3a498, 0x2f0da67b,
+    0xcde25925, 0x22649822, 0x373415eb, 0xeb6b1bdb, 0x77b182f6, 0xc866ef91, 0x15c1a82b, 0xe51c5457,
+    0xf1d35424, 0xc832a022, 0x186b25b6, 0x2dfe683d, 0xf63f1790, 0xa6b2f267, 0xd6685106, 0x406c0c4d,
+    0x28cf83ac, 0x3a2db7d2, 0x0c5010b4, 0xcbc9927a, 0x36761280, 0xb7a36a5b, 0x17405a80, 0xac6b88c1,
+    0x732519bf, 0x61a3ff3c, 0xa85146a0, 0x0d0234a1, 0x55799ac7, 0x7195afc1, 0x85d1af32, 0xd601da2c,
+    0x4bc85cca, 0x973070e7, 0xa7bdaceb, 0x07529dad, 0x2e0776b4, 0xc348f9db, 0x437797ad, 0xcd276248,
+    0xc7b2b379, 0xa9d2f4de, 0x8c0c5781, 0x830a2385, 0x11dbd4db, 0x71d25eb2, 0x4befae82, 0x9c81d111,
+    0xa638bb6e, 0xe9b7b2d0, 0xfbbe8757, 0x503d1e66, 0xa0e69eee, 0x97a70b27, 0xca287cf2, 0x05c04a1e,
+    0x055ba33e, 0xa3de1acc, 0xf2c156b1, 0xb3972671, 0x8726b871, 0x2ea9f299, 0x8f916c5b, 0xb3075eac,
+    0xd578905f, 0x10ee420c, 0x1fe9cbf6, 0x659a3a54, 0x3870850a, 0xbbb4986b, 0x5b65259a, 0x6c8037d3,
+    0xf566e637, 0x613a6a9f, 0xe3729c5f, 0x1bf301e7, 0x2d7426f6, 0x3c925cd4, 0x8049355c, 0xde14ffd4,
+    0x5651edaa, 0x43d4716a, 0x14c35ac3, 0x5784859a, 0x3ed2b84f, 0x8bd9ef52, 0x05903af5, 0xe85233e7,
+    0xe77f9285, 0xc55710aa, 0x1867b2eb, 0xdd06bd92, 0x74821151, 0x9b1f26e9, 0xa428f882, 0x1225e081,
+    0x2434027e, 0x0d00c7f3, 0xb6655ab7, 0x410d1f76, 0xe0582201, 0xe2faf28b, 0x713f1567, 0x216ebf4a,
+    0xe49745d8, 0x3ba2f35c, 0x52917f52, 0x756adfd5, 0x0c6d0ee8, 0x776a4840, 0xfa567180, 0x7bdd1921,
+    0x64f492ad, 0xe36aece1, 0xcdf4a39c, 0x2abd9299, 0xb01c5ed1, 0x029602ce, 0x61efd906, 0x93baeafe,
+    0xbefb3c24, 0x244e5f02, 0x880a1f86, 0x95f7937b, 0x1a0caee7, 0x3461eb72, 0x110f52c9, 0xd5590e1c,
+    0x74e37839, 0xd4c2c740, 0xb8d382c3, 0xed25f4f0, 0xd971530d, 0xa3b13ff9, 0x290ac176, 0x72e62e26,
+    0x05ef9166, 0x24626fc2, 0x77d9a22a, 0x5591cf35, 0x9277531d, 0x4aa39d80, 0xae41dc05, 0xe0365f19,
+    0x276dc7e0, 0xc63e294c, 0xe8f585ab, 0x689ea53b, 0x28191d76, 0x9c6cfa3d, 0x3b0c299d, 0x3e7fc8f7,
+    0x4d61da2c, 0x6c05c93e, 0x8106ef38, 0xebf07f34, 0x4a0410c1, 0x5cba368c, 0x17d6380f, 0xe6074b13,
+    0xebbca325, 0xa3bad18d, 0x05f8c15e, 0x651edf5a, 0x84cac6bd, 0xcceb7110, 0x96f21325, 0xd0c4bc91,
+    0x97bc724d, 0xc8ff1d2e, 0x348c3657, 0xe96b4487, 0xf92406da, 0xffa57bf6, 0x7b5184a8, 0xaaa5a7f5,
+    0xce6e56f9, 0x830fd8d4, 0xfc6a096b, 0xb72a70d8, 0x35af7cad, 0xbb2c8799, 0xce90b354, 0x06fa8c8b,
+    0x4f700f68, 0x52a8b827, 0x05d8532d, 0x1c8f0c77, 0x4fab7e40, 0xb3fd0242, 0x7b0f7229, 0x91799634,
+    0x3750a188, 0x5cb8fb51, 0xbb5eed5c, 0x1745f5ad, 0xe545ee9b, 0x963e75be, 0xdfeab071, 0x74a6b25c,
+    0x6a8b6995, 0x45a66743, 0xd6d7f4cc, 0x65ae79c7, 0xa4311e91, 0x1ef27479, 0x08e64c59, 0xf5fc46bc,
+    0x376c0093, 0x0f79d43f, 0x0da2e064, 0x3b4b851f, 0xf78d1d2e, 0xf0ac56c8, 0xd9739158, 0xbcbaf723,
+    0x068b7e9f, 0x49511e46, 0x8c10cd15, 0x956b4f9c, 0x5b407753, 0xd831cc1a, 0x54051860, 0xc81f16c6,
+    0xbd145cf4, 0xa4f2a24f, 0xcf670082, 0xa4642b29, 0x65f5d81c, 0x007279da, 0x0279287e, 0x1c2a88a9,
+    0xaae3a9a2, 0x2dafbe95, 0x06c785a5, 0x101263a1, 0x1b1f83ea, 0x1fa8cac8, 0xacafdc47, 0x9cafba1c,
+    0x26520a9c, 0x1c13adae, 0xcaf226b7, 0xd9d3c6ff, 0x2435cdc8, 0x1e6233f3, 0x0dd0e71b, 0x8eb934e0,
+    0x409e6bc3, 0xfe24b9da, 0xdd89a903, 0xc5fcc031, 0xabb30903, 0x8b719e8f, 0x4f8d139a, 0x1e380e94,
+    0x9a76387f, 0xe71aa78f, 0x21aa3277, 0x22cb124d, 0x36b0007c, 0x56eada73, 0xbd399d67, 0x762effd7,
+    0xac8324f1, 0xd71e23ce, 0x3cc03969, 0x4f4a63f7, 0x697ad4d3, 0xb89a5832, 0xacc4fb74, 0x9a3142c9,
+    0x05555425, 0xc701a4b9, 0xbfddd53d, 0x81f0eee4, 0x7716b090, 0x24de52a1, 0x366932d6, 0x72ea9f51,
+    0xc56f612e, 0x27d68d05, 0xbd371a80, 0x797fdabf, 0x0933bbae, 0x13e9a1c2, 0x43e4a944, 0xe1eaa656,
+    0xb790c366, 0xb4564e9c, 0xd403dda3, 0xa43a8ac4, 0x5cd94106, 0x77e41d6c, 0x131af38d, 0x588834ac,
+    0x62ea0bb3, 0xea6108a3, 0x29ac18d2, 0x82a272e8, 0x5c160a70, 0xcfab3170, 0x7f4d3c1d, 0x06766ac9,
+    0xf32e8412, 0xd4fe2386, 0x2a79c96c, 0x18266e4d, 0xd90640d4, 0x89731f25, 0x3f1236b9, 0x719ea64d,
+    0x02e4df98, 0x0dc02a96, 0xed4ea25b, 0x45a11c62, 0x143da836, 0xf9f1da44, 0x5a21e1fc, 0x478e5881,
+    0x4a3ba0d2, 0x96067369, 0x0a868513, 0x85c4303a, 0x3815fc8a, 0xc28d3753, 0xc026767a, 0x1d2f4039,
+    0xb1e17213, 0x28693e1e, 0xcb4491a1, 0x0ef5a32e, 0x76fac4e3, 0x1c6511c2, 0xb016463f, 0x1b90f9eb,
+    0xa03dda31, 0xac73045a, 0xe29d2337, 0x9e8d2323, 0x902ccdd1, 0xcf60db9f, 0x3627a826, 0xae4e70b9,
+    0x6a3f3e61, 0xa676e1be, 0x09382286, 0xd391a3e8, 0x3b493597, 0x21a4c7e9, 0xa891b480, 0x3357bb6d,
+    0xbd0a5f60, 0xced01a58, 0xcac162af, 0xee5613d2, 0x4d2f0413, 0x29299109, 0x9ecb42ad, 0x7abff3df,
+    0x63d5979c, 0x4b192368, 0xae9e26fc, 0xad98300e, 0x12259576, 0x461471f6, 0xf062c2da, 0x3a7ba6c1,
+    0x9e56d12c, 0xfa4eadf2, 0x2b96e2ea, 0xf8685db6, 0x401e7d0a, 0x791a346d, 0x0e2b52a1, 0x716b3042,
+    0x3d757f63, 0x154079ad, 0xb81d3c41, 0xb9713e0d, 0x210d6c91, 0x5fa84a8c, 0xd6aee32c, 0x11357106,
+    0xb28b79af, 0xa6e034cc, 0x0d60b153, 0xeb518db6, 0xd843b29f, 0xc4619c5e, 0x5d0bf31d, 0x117be336,
+    0x7cf20307, 0x810a210c, 0x1051d75e, 0x124ab58e, 0x9d9da84b, 0x104c5b87, 0x1470815a, 0xfb3520ed,
+    0x4208341b, 0x81915a7e, 0xafb33053, 0x1eb6189e, 0x4f277326, 0x27d90021, 0x7ffaca87, 0x254dc3fa,
+    0x40ba5394, 0x290045cf, 0x83269bff, 0xabcd6ecc, 0x323126f5, 0xca26c3bb, 0xeb2f36b1, 0xa9e089b1,
+    0x5149aae4, 0x77a5e6ae, 0x0f04682b, 0x0a3d6c40, 0xcc9f152d, 0xe34ac8ae, 0xe5edfe8c, 0xb5479eda,
+    0xf4ad187b, 0xb9699d2a, 0x0b13e071, 0xbce80b31, 0x0dd1df2d, 0xe4198a2b, 0x620b1e64, 0x22263cec,
+    0xbc931175, 0x47beec26, 0x0ae52d7b, 0x962a855b, 0x74a2b3fb, 0xfed2ee72, 0xd213c9aa, 0x001d4d52,
+    0x0c10020a, 0x538cbe3f, 0x10ee814d, 0x1bc7b936, 0xbb1441be, 0xb54e647f, 0x260b57e5, 0xccb7b7df,
+    0xa29ac683, 0x2fb6c39b, 0xbccb0be8, 0x4c188d8b, 0x279ef87c, 0xfbe2de22, 0xd903d457, 0x8596d940,
+    0x5d2b85a0, 0x35ab64a6, 0x54bb3ed6, 0x2f6d7182, 0x97037bc2, 0x0e648b7b, 0x255ac598, 0x4e1c8cef,
+    0x696213b7, 0xf4d0a8dd, 0x814f5db2, 0x51f170ad, 0xef32488a, 0xadc32d42, 0x0c4c551b, 0xdf73955b,
+    0x46ad13ae, 0x1562dc89, 0x7d1c8c55, 0x39e95f93, 0xb1ac1454, 0xe0922935, 0x9fb98aa9, 0xecf681d1,
+    0xc90ef814, 0x0953de4d, 0x21e25a7d, 0x87d5168c, 0x2f9da3f6, 0x261b540b, 0x9610e4a3, 0xc28fcf92,
+    0x3bd60330, 0xc20339d9, 0x0892d7a2, 0xc6a1a835, 0x94e57b2c, 0x01936c9b, 0xdf1b7535, 0x71054504,
+    0x455d0f21, 0x2be5331f, 0x84580636, 0x8db8cb88, 0x0ebdbe3e, 0xb669b5e5, 0xdef1941e, 0x10e0cfc9,
+    0x6db8d8fe, 0xa9d28b3c, 0x18002c28, 0x60cf7f57, 0xb6df603f, 0x76fef816, 0x2ad41a0f, 0x2c1a0098,
+    0x97bb8673, 0x6372f1b9, 0xc26b98bb, 0xff0f2eb4, 0xe9c30de0, 0xe83e4d3a, 0x4b0291e2, 0x1b43968b,
+    0xc6758cf0, 0x7cc1b5a9, 0x261a990d, 0xa2178990, 0x1f24d43b, 0x1bc4feec, 0x9e77057c, 0x067d607f,
+    0xa1fa344e, 0x25af5d75, 0x3a7f7b39, 0xaa58a7e8, 0xcb8e6452, 0x06c3ecdb, 0x14a02fd9, 0x6da09317,
+    0xeb81c719, 0xc6e84a25, 0x79f6bcd6, 0xd3f9691d, 0xd9a03f36, 0xac85090a, 0x46bc4097, 0x4b92ee8a,
+    0x64d69e8f, 0xe610a5ee, 0x1377ec40, 0x161bd583, 0xb944e959, 0xdc4c11cd, 0x2fbbb540, 0x202fc3c8,
+    0xa1328463, 0x2a512594, 0x5a3edbcf, 0x619b0500, 0xc75f11db, 0x27104c41, 0xf731d53d, 0xca9c068b,
+    0x264cf7d5, 0x41b29abd, 0x0739f0a7, 0xc919fbcc, 0xf4bb91d2, 0x88142503, 0xb47f3aef, 0x281b508e,
+    0x6635a2a3, 0x369d621a, 0x3c8bd072, 0xb3bc24e2, 0xe4a07e3b, 0x33bdb29c, 0xa3e27727, 0x4f4bcb60,
+    0x83ba2891, 0xf0aa5dd6, 0xdd1cb765, 0xeac72e22, 0x711a392b, 0x7e045b93, 0x1a298d30, 0xc078ab37,
+    0xb889474e, 0x486f14ad, 0x9453f1a4, 0x12d841c6, 0xf451770e, 0xe03386eb, 0xd2fd7f7f, 0x2d55fc23,
+    0x3a8e3937, 0xbc91d48f, 0xbe2595b0, 0x5b996ad3, 0x0748fc13, 0xc2b15d1e, 0xb6fadcb5, 0x9c5cf191,
+    0x9829bc52, 0x143cd5cc, 0x358dfb24, 0x2136a5e9, 0x9e832636, 0xed6823a3, 0x9616c22e, 0x9430f812,
+    0xa63d7e5b, 0xfed813f1, 0xd26b4a4f, 0xb0392266, 0x7a6459a6, 0xe6f8776c, 0x271012f8, 0x2805ab48,
+    0x0a17170b, 0x361dc0d8, 0xa8fe50a6, 0x844dd573, 0x122094c3, 0x839772f8, 0xf0ca0ada, 0x682bd0e0,
+    0x5b16c1fc, 0x1050e9e2, 0x5417a8fd, 0xc4ac310d, 0x4c21c32c, 0x30aeb5fd, 0x0627a1ca, 0x04cc23b6,
+    0x529265e0, 0xba93ee13, 0x3c9b4abc, 0x4401d384, 0xf4eeea9f, 0xce1c7cdc, 0x16aafdaa, 0xc2ca8334,
+    0x9ad5ac29, 0x7f532de6, 0x49d360a8, 0x5b4ad436, 0x408996f2, 0x12248e2d, 0xcbcaa9c0, 0xe7effe3f,
+    0xaaa7b450, 0x10ac2073, 0xad925bbd, 0x9addce6b, 0x03094e89, 0x75257424, 0x1915b2b6, 0x0bde2f8b,
+    0x27ff6a9f, 0x28ec72ba, 0xa8dc9ed7, 0xf2988fb6, 0xa5ca3453, 0xff66f58e, 0xadaded5a, 0x5e98405b,
+    0x0e819e28, 0x26e1de06, 0xd4bbd6ec, 0xbc0b4e52, 0xe2147cb1, 0x6cbb0a5b, 0x68e8b5ac, 0x61f9e828,
+    0x5cb2ae25, 0x91f59271, 0x95ba27b8, 0x7b9a9f20, 0x13ff1b5d, 0x94d3f08a, 0x9f25772d, 0x3849b7e8,
+    0x11d706bf, 0x042be806, 0xeba1021c, 0x2192be2c, 0x1c8423b1, 0xc5877601, 0xdb37969c, 0x6bba468a,
+    0x703d71b9, 0x79dab13b, 0x145bacf6, 0x04f69a83, 0x510509c8, 0x24230da1, 0x9aaa2636, 0x7e7b2fc2,
+    0x9530111d, 0x149c75de, 0x708ba5cb, 0xa3db6284, 0x8caf56a0, 0xd8557f6d, 0x5e7c5c36, 0xf80c1c79,
+    0x425c3316, 0x577b3c0f, 0xf4b0b9e5, 0x75a46114, 0xa4181b6d, 0xb359b9b4, 0xca847254, 0x2a5fe685,
+    0x99024ad2, 0x6e49a98b, 0xc5bd610a, 0x027ae136, 0xc6d3da57, 0x75685b83, 0x154a42ef, 0x18cebd08,
+    0x75f2e043, 0x9a70a2ae, 0x8da8fee0, 0x19d1864d, 0x14744fc0, 0xb777274e, 0xcb771f3d, 0x965a3d9a,
+    0xcfb9690c, 0xb260a1b2, 0x88edfcab, 0x8312040d, 0x809f7322, 0xf89483db, 0x99e7c04e, 0xb238199d,
+    0x35af880d, 0x179d09ea, 0x7bde1fcc, 0xc9d344a1, 0xa9504a33, 0x884251e5, 0xc2afa190, 0xeb221520,
+    0xaa80cc37, 0x48e3a893, 0x57a7e594, 0x3dd723a1, 0x236732d2, 0xc2acee2f, 0x5443da82, 0x711d1aed,
+    0xec033e8a, 0xc222195f, 0x3468c630, 0x0a12bdcd, 0x9b5192d3, 0x120803de, 0x69b639ec, 0x716f7432,
+    0xcb10074a, 0x32701573, 0x3235426c, 0x8a7eb9d4, 0x54d0aeac, 0xab24275a, 0x456f8047, 0x65ebf156,
+    0x90d456a8, 0xe6d283a6, 0x1164eaf0, 0x64c5e574, 0x7fe8fb40, 0x6c082392, 0xc741a334, 0x1fb7b368,
+    0xeebd3e8f, 0xfd72caba, 0xc1c184b0, 0x115f4bab, 0x610fcf78, 0x2fbd90c1, 0x330def9f, 0x43ca1661,
+    0x62ffeee7, 0x032d5583, 0xd7e08117, 0x49853439, 0x62f49da0, 0x06b92445, 0x49d4685f, 0xd9e06a33,
+    0xd248551e, 0x22367d33, 0x83593874, 0x17739aaf, 0x50e9b261, 0xa47e29b4, 0x91ea8945, 0x8b6ba0eb,
+    0x86a219e2, 0xcde57f70, 0xcec73cc6, 0x3ff178db, 0xaa20b0ed, 0xb9784f7a, 0xeaff4cb7, 0xff140e1a,
+    0x3e15e450, 0x4ef8f571, 0x5266c85e, 0x93ffb46f, 0x2479d3a3, 0xb22d0927, 0xe9438822, 0x888f14fd,
+    0x5f2641fb, 0xb89ef86f, 0xc1c5f56a, 0x251eccc5, 0xd0d7edf3, 0x82065e05, 0xac3fdaeb, 0xc676880e,
+    0x3d03eb3a, 0x73a23b11, 0x8c8b9688, 0xa750d926, 0x81cba62e, 0x64293fe8, 0x83d4d4f6, 0x928fd085,
+    0xe293d28a, 0x8823261f, 0x0875a854, 0x0b33191d, 0x10ec4708, 0xa20e85d6, 0xb2ba6721, 0x36c53e77,
+    0x38fd2153, 0x6ce4d4a3, 0xae98341b, 0x524f54eb, 0x39cacd74, 0xcaa54a0e, 0x2c49308b, 0x36d07042,
+    0xde4a3e22, 0xbc787778, 0x413d07d3, 0x7175b020, 0x2d485b52, 0x2a37763a, 0xdeddef44, 0x04e21e34,
+    0xdc82a637, 0x7b13a127, 0x97d48538, 0x4f37972a, 0x565ff18e, 0x1dcb6567, 0x5369550e, 0xe6b88421,
+    0x4e20cb6f, 0x62ae601a, 0x04555a98, 0xc65783b6, 0xd67ccc84, 0x472df7ce, 0x48b72f7f, 0x948d8e33,
+    0x00000000,
+    0x853d7941, 0x2a938a5e, 0x18b83b68, 0x042c455c, 0x4c5f335e, 0x6fefa30f, 0x562dc92a, 0x4039098a,
+    0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000206579990246952687172473533760240949946376463\
+                          42633788102645274852325180976134729557037162826241102651487225375781979947008 */
+  { 0x00000000,
+    0x920591cf, 0xfb95b874, 0xac97f3e8, 0xfe30a445, 0xacc45653, 0xbd8bfd1e, 0xdd46937a, 0xb6566998,
+    0x5a7d7710, 0xbe01c2e7, 0x34a468da, 0x9e0c01ff, 0x2b9701c9, 0x64facb8c, 0x6e4c3f76, 0x8abe5a29,
+    0x948ac661, 0x9458aad2, 0xa74b8175, 0xc6a28817, 0xe385c799, 0xda3bf956, 0xe58e2a9d, 0xfef55d2b,
+    0x3e743091, 0x0510988a, 0x213dd007, 0xe550e8aa, 0x2f5f6c83, 0xe97687d5, 0xd8496aff, 0xfe4cb606,
+    0xc7ea3975, 0x96593d74, 0xd36ee5a7, 0xcba39825, 0x24913e29, 0xd7b53099, 0xb5d112e1, 0xfd9c6efd,
+    0x66c43568, 0x10bac9c5, 0x05739f05, 0xa51be250, 0x3ef8817c, 0x0174bc78, 0x8f4363fd, 0x5378d872,
+    0x1a33cdc7, 0xfc4e986e, 0xcc1be81b, 0x724a0e22, 0x147d7e6d, 0x01088119, 0x7f053432, 0x48e941cc,
+    0x481b564e, 0x141d10d1, 0xfcf68705, 0xd6f9c03e, 0x1d4e10d1, 0x2ce0e99a, 0xadf90c2a, 0xf8612a26,
+    0x67bfba0e, 0xe9c9032c, 0x26e169b7, 0x76c7ec30, 0x7f20c07d, 0xc2a2fbb3, 0x719ef302, 0x430ad545,
+    0x5c951005, 0xf04f62e3, 0x7b005e4e, 0x0564b901, 0xa6291328, 0x7d31ed97, 0x08318b57, 0x9e945f85,
+    0x679d1fa3, 0xc6605e03, 0xbcd33b5d, 0x83e0c7b7, 0x0bb8342c, 0xdf46c90c, 0xc6339cc1, 0xde302b34,
+    0x2b26f281, 0x6f862fe4, 0x67636983, 0x2ffc7528, 0x0b277ab8, 0xb7ba8481, 0xaceef11b, 0x5aa2d56b,
+    0x77c477d0, 0x102e6bff, 0x36d6b799, 0x1c9f618f, 0x9ce82df8, 0x86b2e50e, 0xeb946764, 0xe1fcf016,
+    0x89fa0de3, 0xd5f7f13d, 0x33e74b9a, 0x485d8bd8, 0xdac307c3, 0x5a4129c0, 0x10c2a256, 0x136860eb,
+    0x4f7aa14b, 0x3e38525b, 0x92ef7851, 0x85d4cf2e, 0x2c2a864c, 0x4bd86fe6, 0xad1ecdb5, 0xb38d5b07,
+    0x754f3346, 0x2053b903, 0x31f1b5da, 0x585a0605, 0x21bba7ad, 0x761caf3b, 0xf9793249, 0x6eb63147,
+    0x13ff859c, 0x8a27cb22, 0xb08ab4b1, 0x94b1f8e3, 0x77a9ca05, 0x03f94cb9, 0x49797d98, 0x5ff6d10b,
+    0x08230ab8, 0xb6acd3e1, 0x8fad38f1, 0x097a2180, 0x589fad4b, 0x4fe5ee55, 0xdad8ae2b, 0x7fc3c5bd,
+    0x64a0cb6e, 0x9b2e174b, 0x3a13e10e, 0x42b4d0b2, 0x7dfa728c, 0xc94c83e7, 0x4287daa4, 0x1275b7c6,
+    0x044623fa, 0x9e0e0a93, 0x1c4f3e88, 0xd5cfe61d, 0xdddd6ada, 0x441a1fd5, 0x884a046d, 0x59d20c71,
+    0x0b2dfa9f, 0x7b86815f, 0x42b6b939, 0x23fa2305, 0x479aaab4, 0x7f1479dc, 0xaf11ba51, 0xcc5684bf,
+    0xf12afd61, 0xb56efc84, 0x5c4ac87e, 0x82b097a1, 0x4531aa17, 0xedce27f5, 0x0488da55, 0xd32984d7,
+    0xe8f66573, 0x541ec76a, 0x0a832854, 0xb66e9e29, 0xc029c02e, 0x7c914370, 0xbcb744ec, 0x50204e02,
+    0x1d97e5b9, 0xa5cad6b3, 0xb475428c, 0x779e2b61, 0xc1ff2a8f, 0x762316c1, 0x9979ada3, 0x7c699e31,
+    0xebbe2a97, 0x98cb07cd, 0x7ecf4f37, 0xbafa3d59, 0xbf2c4f38, 0x8600dfee, 0x1c28838d, 0x62fdaae1,
+    0x0839edba, 0xc8cab200, 0x4b7cf4b8, 0x5fdda30b, 0x135a722e, 0x63ee521d, 0xd2b4428b, 0x85bfcea0,
+    0xdb8e318e, 0x2bbfbc10, 0x819e3d99, 0x89df41fe, 0x13750bd0, 0xc067c119, 0x4156010e, 0x079459eb,
+    0x90afdcb0, 0xe914b019, 0x7ebbe2e6, 0xa8c7746b, 0x1b524e16, 0xb121d644, 0x9a295a68, 0x52ab7168,
+    0x3701907f, 0xf67a355a, 0x0550b2c5, 0x105bba48, 0x9ce21f57, 0x0a8b4577, 0x76e13a4b, 0x57966bfd,
+    0xbf2d7bb5, 0xd29bc817, 0x7d8bb115, 0x6e13768b, 0xff129085, 0x20679343, 0x1c830ff9, 0x5e64f2d7,
+    0x44958684, 0x24f1b132, 0x42e4dc0c, 0xdfdfc929, 0x08961487, 0xe4677c44, 0xa9811bb8, 0xc24d89dd,
+    0xfc2fddb4, 0x3535000e, 0x96f697b0, 0xe68afc0e, 0xdad52022, 0xb1d8d0f5, 0x45924f0f, 0x20d932d3,
+    0x888749b2, 0xa65141e9, 0x0efbeeb3, 0xd7517561, 0x0fab1f50, 0x71b49b54, 0x68dfcf1e, 0xd02c2c16,
+    0x8d86f246, 0xa2a33e38, 0x8b70e86f, 0x18ee2c1c, 0xa9243f47, 0x4c2ab1cb, 0xcec5408c, 0x46539cb1,
+    0x0c811789, 0x4c8abda1, 0xcd86893c, 0x263d6762, 0x6fee7356, 0x0ec304fa, 0xa4067692, 0x68104b15,
+    0x262fc583, 0xf7187e14, 0x575260e1, 0x06e95f33, 0x44d18b88, 0xa3b8c591, 0x5dd7d078, 0xa2defd22,
+    0xb43d26d2, 0xdc4951d4, 0xfb37a798, 0x2d4e35b5, 0x49926b4b, 0xa3078cb2, 0x19071973, 0x1f725067,
+    0x68f89bb0, 0xc86f3a4e, 0xdda34a1c, 0x5a1f96c3, 0x780a7bc2, 0x012104da, 0x27130efc, 0x9fac971a,
+    0x11da2616, 0xe528ed5c, 0xc064f2ea, 0x5668fca8, 0x42a722f5, 0x55820e0a, 0x0b4de7ed, 0x18f698b4,
+    0x2d4c0f00, 0x94c68bb3, 0x55eb51eb, 0x7df66790, 0x6dbb7923, 0xb55f07ff, 0xbe0814b1, 0xc48c53c2,
+    0xb881db4d, 0xf7e5632c, 0xc3e6392d, 0x6c1e414b, 0x1e992ba9, 0x5e4011fa, 0xc474dced, 0x51f4344c,
+    0x9eeb7414, 0x4aca25f7, 0xf030e20b, 0x024582f3, 0xa50db85d, 0xcff3d5aa, 0x4d3d287b, 0x922c547c,
+    0xb59d448a, 0x38ba6733, 0xdb058fbf, 0x3dc665b1, 0x2586ac5a, 0x1c02e32f, 0xe6af21bd, 0xc0b26294,
+    0xb52e57cc, 0xf7bd0c65, 0x3d56812a, 0x4e4c0060, 0xe0c49442, 0x9031d928, 0x80f209fb, 0x8c1d0b90,
+    0xcc56e3e4, 0x17123141, 0x98c7e76d, 0x6a51be5b, 0xe107c667, 0x2c73c01b, 0x7aa7ebe1, 0x9e756c8a,
+    0xf3e7a336, 0xd3e89a21, 0xcd7d9c34, 0x7b330211, 0x0442a329, 0x56ada83a, 0xe72961fd, 0x24228707,
+    0xb06d9f68, 0x42a7e69d, 0x0faa1fe7, 0x717ff8dd, 0xae109a6c, 0xcae9a93a, 0x5897ae5c, 0x41a2838f,
+    0xefde6ef0, 0x55ad22e0, 0xc29f61da, 0x311833f8, 0x8b5f4f85, 0x240ac1c6, 0x2f7785c7, 0x92049d12,
+    0x4d07fd6a, 0x95478c7b, 0xbe2cff7e, 0x1e6d5cd6, 0x9940ab2b, 0x3215e663, 0xe03335a0, 0x43061fbe,
+    0x257f9593, 0x4d314f9c, 0x4bbb090d, 0x20bb3db8, 0x8efa8267, 0x4e93ae7f, 0xb89922f5, 0x60ed8f06,
+    0x7d395cfd, 0xb1c12d7d, 0xa5526d8e, 0xe0c2c5c9, 0x84da88a6, 0x12c1cfad, 0x31093303, 0xec393778,
+    0xeec000ec, 0xd7ff5712, 0x08b4d6a5, 0x73a73e92, 0x71e983ec, 0xcef43528, 0x2bae22b3, 0x40ebe5f2,
+    0x1503047c, 0x264bfa54, 0xaf8bc2ae, 0x27318275, 0xc500b6d4, 0x4bc51484, 0x852cd756, 0x66a25bdf,
+    0x235f8472, 0x3fce5136, 0xfa260af2, 0xc1516fa4, 0x4ff19ed5, 0x95b9cf9a, 0xb467b0ae, 0x4d8304c0,
+    0x0c7e4857, 0xf57d07ee, 0x03adb50e, 0xb1aecfd2, 0x30731525, 0x4a532ea0, 0xb134c01d, 0x9e91c286,
+    0x81f9d980, 0x6db67ce5, 0x3aba1117, 0x29e3a30d, 0x7da4a188, 0x1b3161e2, 0x8c012465, 0xdb970d7d,
+    0xc2a27f9e, 0xa932da3d, 0x7d637d3a, 0xdc93c3df, 0x1042dfcb, 0xb24e62d2, 0xa5e95e7b, 0x0a296bd6,
+    0x8d50f0e1, 0x948e6052, 0x51c04c71, 0x0c49b0e4, 0xd9d7dcfe, 0x4dede184, 0x9a397ec7, 0x258b4580,
+    0x62034e0f, 0x21cd15f6, 0x1fe5130a, 0x3f58e648, 0xf83b9b42, 0x59e92dc3, 0x7f38ee6c, 0x0c7169c7,
+    0x666a9f2e, 0x43863a0e, 0x485046a5, 0x75174c77, 0xd58f5dc9, 0x120e22c3, 0x80e24a22, 0x6a216dd4,
+    0xa8d2f4de, 0xc1fc8761, 0x3dbf26ac, 0xa4c33063, 0x22d4f604, 0x5dad5b7f, 0x47934ad4, 0x611318c3,
+    0x49ff8a93, 0x09b20b8c, 0xe944b8d4, 0xdc63d732, 0x02037564, 0x0f5b6fb5, 0xe11b7a5d, 0x9c72f1d5,
+    0x2159ac4a, 0x794c2c60, 0x90b0eb40, 0x80ca7a88, 0x74508a7c, 0x79fa934a, 0x1f9bbe5f, 0x17c7882a,
+    0xa6846b83, 0xc9bec26f, 0x3e029964, 0x3d225b43, 0x50cd78ba, 0xce32969c, 0xe85c5b91, 0x525db27e,
+    0xf630e0d2, 0xf037dce5, 0xc2739374, 0xcefdd848, 0xf34c5f3e, 0x7a718edd, 0x613c5fd8, 0xb4b824af,
+    0x291c6ad4, 0x000ed792, 0x3ec872c3, 0xce99cb9c, 0x9ece23f3, 0x09d81623, 0xa9f46fb1, 0x8e36394f,
+    0x7d99858b, 0xfd4a8a2d, 0x6b175ed5, 0xc075fe76, 0x4d315ebb, 0x149cbc50, 0x2161c1d3, 0x2615227d,
+    0x6837af37, 0x023c5ff7, 0xb897dbd3, 0x5b0376bf, 0xd5df0557, 0x9ff51f26, 0x6d152500, 0x1da38923,
+    0xd7074db5, 0xf3d0b8fe, 0xa12b8db3, 0xe05c5cdc, 0xa808ca9c, 0xec3af2f9, 0x5e0ce4ac, 0xa97b9434,
+    0xb3e09d6d, 0x4fe89270, 0x628933b8, 0x84411a03, 0x8439c289, 0x6f542d0a, 0xd820c097, 0x7efae07d,
+    0x3fa20363, 0x2f15052d, 0x4071eec3, 0x8c3501e6, 0x59018cf0, 0x1a3d6113, 0xded6cdc8, 0x3517f01d,
+    0x092a5411, 0xbec5c9e9, 0xe952918c, 0xb758ba40, 0x032bf7de, 0x4d7183ff, 0x70ee9eba, 0x3d4dfc29,
+    0x42027499, 0xb8c18aad, 0x625d3ef4, 0x9b65e305, 0xbd17888f, 0x7ce4acdb, 0xe7d56235, 0xcdf3efd9,
+    0x501d5d23, 0x9766820b, 0xedb39754, 0xac8fe8d9, 0xa8938473, 0x42aa6381, 0xfc6726b9, 0xfc285343,
+    0x9b3a4d29, 0xda56ae68, 0xe3782a4e, 0x118de3f9, 0x16387449, 0xe11e000f, 0xdb925e24, 0xf3aaa563,
+    0xa21501f3, 0xb1b02a34, 0x45319646, 0x48f2fddc, 0xccb144f3, 0xe72a2c2f, 0x3712ee90, 0xa472eaa2,
+    0x83c10a62, 0x56218c88, 0xbddc60ad, 0x0a12a914, 0x5177a804, 0x3be33cd0, 0xf2949db5, 0xd914eab9,
+    0xd408fe77, 0xe1f5eefb, 0x3b864825, 0x5e3ee249, 0x9b471eae, 0xdc37b45a, 0x3f0a2a9a, 0xb16b674f,
+    0x3a96b355, 0xfb53294c, 0xdd621625, 0xb4ca1345, 0x0ca3608c, 0x60c55635, 0x8fc775a8, 0xa16f3274,
+    0xdd659192, 0x3b91408a, 0x3a9e1361, 0x2100fa65, 0x38c2630e, 0x701be1ec, 0xa36fcec8, 0x20e681e3,
+    0xe49cb22e, 0x277b42d2, 0x0761deb8, 0xaa165f94, 0x08f67255, 0x09d34d14, 0xf6f28da6, 0x484da8c5,
+    0x65e015c3, 0x507c8886, 0xb252bfba, 0x778df850, 0x335d0f5b, 0x0688eda0, 0x20450199, 0x2611d0db,
+    0x95d8b290, 0xbb3e9b66, 0xf42bb605, 0x2c78ca59, 0x1ec94144, 0x37dfdf0d, 0xfaa9dc41, 0x33f1503d,
+    0xcaf42400, 0xcd71992b, 0x4316309c, 0xec4392f1, 0x69b281b2, 0x32ca2a90, 0x9281ae6c, 0x8060f7c5,
+    0xf414f682, 0x2667ea0a, 0x1526efb9, 0xcd391677, 0xf4d8b659, 0x928ea9cd, 0xae34217d, 0x5d57ea7e,
+    0x8c35a1e5, 0xb3368b88, 0xb5d51aa9, 0x42d24164, 0x0c1987d1, 0xd54eb3c1, 0x9a7ecd15, 0xb91be0be,
+    0x399330b5, 0x8cc0478d, 0x9356b923, 0x817c9f0b, 0x5035985e, 0x002b4671, 0xeb5b2f60, 0x65be364b,
+    0xf85485f6, 0x4e54bf32, 0x60d1a6fb, 0xb56fb661, 0xf0c02e19, 0x1fadb640, 0xd4bf2ecf, 0x5c095ed4,
+    0x044582fb, 0x7c1e73e2, 0xc3a58a34, 0xae6e5e03, 0x7ac7a18c, 0x72536235, 0x5308915f, 0x91a64e4c,
+    0x3ccd2f73, 0x0af37bed, 0x21b8f2a6, 0xd2543c41, 0x20e4dcc9, 0x58de8382, 0x75ad2248, 0x68dd8739,
+    0x69ad1565, 0xc3548ec1, 0x5180e1bd, 0x46eb411f, 0x5f1847ff, 0x9743763b, 0xf2963eae, 0x8aa8d6a6,
+    0x1024f1ea, 0x3b52dbae, 0xbc1ed64b, 0xe0885d53, 0x9eff5228, 0x7cc49cb2, 0xd50dfde9, 0x212d7912,
+    0xed59de61, 0x6e531a7f, 0xeb50b0c8, 0xa6b578ed, 0x314d1eae, 0x74b64541, 0xeeb844e6, 0xbf6ffd9c,
+    0x731b78ad, 0x0631f352, 0xbdf8febe, 0x75c933e9, 0x0a561e1c, 0x41840c33, 0x4564e419, 0x0584e1ce,
+    0xb8d2f460, 0x427283f1, 0x046fa744, 0x9f91bb65, 0x2245e53c, 0x0c734a74, 0x10a1a0ed, 0x2277b42b,
+    0xf2676885, 0x6cc5157a, 0xc2a81409, 0x15917c9b, 0x493fdec9, 0x9e613402, 0x9a059e59, 0x40fbc542,
+    0xebfa313d, 0xc7ee7680, 0x3b2ded25, 0x590b62d8, 0x821b2798, 0x25afb4d1, 0x5b17ebc7, 0x06571415,
+    0x97375c37, 0xef6a2c78, 0xb277da72, 0x7bb09557, 0x43bc8872, 0x18cca29b, 0xf20b6509, 0x675134d9,
+    0x40f86dcb, 0x809eaf65, 0xb887aaa8, 0x33565048, 0x08422088, 0x382a0204, 0x5fa7e11c, 0x302acdb3,
+    0x3b67f2dd, 0x8b84ac3a, 0xbfd60c45, 0x6bca868b, 0xb2beac41, 0xe2a67db5, 0x1a863e8b, 0xc691eb92,
+    0xea4bb0c4, 0xec52fa5a, 0x42b5d49c, 0x2416c867, 0x9be85ed4, 0x7eeef68d, 0xc50fe152, 0x459ac026,
+    0x56f0d145, 0x6e27d143, 0x0705c371, 0xb385accc, 0x6c759947, 0x936e03c0, 0xd13cf290, 0x84510f80,
+    0xdde801f2, 0x07a759a9, 0x5d805a65, 0x49d99686, 0x3765bf50, 0x65f1058c, 0xdb730639, 0xe04237e5,
+    0x11289e0b, 0x4cfd9295, 0x30d7bb61, 0x9f08f69c, 0xd53c11a1, 0x856d2bc5, 0x5ba04a6b, 0x453671db,
+    0x668818b8, 0x7d0346a9, 0xbb6446f4, 0xef307f41, 0x34f93ec9, 0xe10f8226, 0xbfac3766, 0xed00d85d,
+    0x5a7c3a5f, 0xe0cf5e24, 0xec663f52, 0xba03910d, 0xe0c22e6c, 0x7378db82, 0xd6120852, 0x71ca4d31,
+    0x5c1093c7, 0x1535b753, 0x5f055f4e, 0x90d6849b, 0xa749f362, 0xbadbc974, 0xe5cef9c2, 0x2e9dd6a3,
+    0x9f832d45, 0x8acd8306, 0x048d358f, 0x890b4b74, 0xa0bf0fc1, 0x1d6636bf, 0xeab398d1, 0xc4e8408e,
+    0x1867170c, 0x47e36b7b, 0x8bc275b4, 0x669b666b, 0xeb798d9c, 0xe3415dc7, 0xab022095, 0x91cfba0d,
+    0xe9ea2287, 0xff2393f0, 0xbc6c31f9, 0xfc0f0389, 0x99562786, 0x7a42a11c, 0x70a80fdc, 0x91a84df4,
+    0x71aafbbc, 0x19520de2, 0x2d0973ba, 0x109cde56, 0x90d34a44, 0x2e890162, 0xb0ef2763, 0x0716d948,
+    0x856f4f3d, 0x175be1e4, 0x30bdf077, 0x3fc5eb3e, 0x0a4408f3, 0x9f259495, 0x82c65c2c, 0xed59bb45,
+    0xd1f3c5b5, 0x72e7e7fb, 0x1aee9b7f, 0x5fbd418f, 0x16b50d9d, 0x71b059c3, 0x29cc1d35, 0x0e9594af,
+    0x8c2df182, 0x9127de7c, 0x68d32d67, 0x25ef810d, 0x0e928fc4, 0xf0f25492, 0x7517d769, 0x420a90f2,
+    0x95a6af5e, 0xe1072381, 0xe68585f0, 0xbc2094c1, 0xd7da6f5c, 0x88a7bae1, 0x486f1442, 0xbd6d8c87,
+    0x54958d92, 0x3023f964, 0x9db86587, 0xea6ae833, 0x64f985a4, 0x3300c104, 0xbde7f13f, 0xf38d1370,
+    0x1a9a02bf, 0x99b37aa6, 0xd69ecd51, 0x8b1098a6, 0xa95effc7, 0x29760e4c, 0x8d6d9d54, 0xf17a4354,
+    0x7ea2615b, 0xea305ab4, 0x9913b8d5, 0xdb891899, 0xbefa5249, 0x8f22efbf, 0xdbabc6a3, 0x70d3f0e6,
+    0xc247bd14, 0x5cda1ff5, 0xdb58a2df, 0x00fbddf0, 0x776b75e7, 0x1234ee49, 0x826fd297, 0xfc3a4af4,
+    0xf2e602e6, 0x8f25a547, 0xd5ea2c7b, 0xd5d51156, 0xaae6e36f, 0x5f2b5101, 0x6c42d54a, 0xf1f72f9f,
+    0x2d5b0fe4, 0x42be89eb, 0xf9115ce3, 0x991488e8, 0xd97a50d1, 0x81061776, 0x56f15a8a, 0xf42db415,
+    0x5b4478a6, 0x9c1d4f9c, 0xce2b2b1e, 0xc91e9f6a, 0xd8b895ac, 0xe1c90c0b, 0x7763d830, 0xbdfa9f71,
+    0xc7e8d0c8, 0xc0f653fa, 0x4beb14b9, 0x38bc98df, 0xe04d9efa, 0x092472d0, 0x7b3e9f53, 0xe85f4fe4,
+    0xb44e263b, 0x375a47e7, 0x730da736, 0x583f9e3e, 0xa61ed430, 0x94424e8d, 0xb1628846, 0x925ada9f,
+    0x3cbf8807, 0x24fb7153, 0x9385c949, 0x700e10b1, 0x886cb883, 0xf4822bdd, 0xe9bf3a1a, 0x7f5445c1,
+    0x2496bb04, 0x5572ec58, 0x5c4cfceb, 0x4d7dd027, 0xd7078d53, 0x7224a933, 0xcd8d72c1, 0x89e4e287,
+    0x00000000,
+    0x429ebca0, 0x1549c52f, 0x0c5c1db4, 0x021622ae, 0xa62f99af, 0x37f7d187, 0x2b16e495, 0xa01c84c5,
+    0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000103289995123476343586236766880120474973188231\
+                          71316894051322637426162590488067364778518581413120551325743612687890989973504 */
+  { 0x00000000,
+    0xea7f4043, 0xcfa6893e, 0xd8b91fec, 0x37f66fb3, 0xdd287cf3, 0x8dbf102d, 0x649f326c, 0x3739f5c0,
+    0xdfb8cd4e, 0x08fde6cf, 0xfdefc6bd, 0xc0ebfbe9, 0x89f87919, 0x1ddb1959, 0x189baf74, 0x7ac81fe8,
+    0x7110e6aa, 0xbebb3100, 0x4bc6f2b7, 0xc5b37432, 0x325fb10a, 0xb1b37040, 0xab197389, 0x04e5ea6e,
+    0x8a4a796a, 0x4b93bd12, 0x03c1509e, 0x525ef0e2, 0xdccc5ee6, 0x7c1699a4, 0xa8907603, 0x1da8b812,
+    0xfe5cb39a, 0x30d58e90, 0x8d961ac0, 0x8287849b, 0xefac1004, 0xe8865e2b, 0xc8a9db87, 0xc4512042,
+    0xf401de79, 0xd943bf65, 0x7481acbf, 0xc1321065, 0x086228da, 0x27062463, 0xac2b888e, 0xe157456a,
+    0x94740221, 0x6311b7f0, 0x87b0bbc5, 0xeb0c8d2d, 0x90d6548d, 0x49019b24, 0x89fdfa21, 0x7e452a76,
+    0x70960b26, 0x622280de, 0xa045662e, 0x4853e3b9, 0x25e5162b, 0x9d2c4bb0, 0x6dbe3d31, 0x53de8a3d,
+    0xa7eff90f, 0xb04678d1, 0x793ef1bb, 0xf14fe616, 0x5276d187, 0xacdfae0f, 0x390d1d7b, 0xa4bf9275,
+    0x1af14f0b, 0xc65bede3, 0x3a4e9fdd, 0x0821a27f, 0xe0c1f420, 0x2b46ac47, 0xf5e2b32a, 0xce066cf1,
+    0x71100bfa, 0x2a1bb723, 0x8eff3026, 0x7d07e5cd, 0x4a7b8cad, 0x7b877234, 0xbcd8f870, 0x81cb4e99,
+    0xdb758f45, 0x883f13aa, 0x20ca573d, 0x40e59e16, 0x2799850a, 0xca562774, 0x3d0819e7, 0xa478e394,
+    0x55447f44, 0xe8b1f298, 0x74be01d6, 0x681fb0f4, 0x6dc9128b, 0xddefdfe6, 0x0c858d21, 0xe251af0c,
+    0x4be534e8, 0x3b0c0364, 0x165fa526, 0x990c0c19, 0x77d9d092, 0xbcf9ceaa, 0x72674c36, 0xa50a171e,
+    0x0943a1d3, 0x265c6326, 0xfcf9cb89, 0x522080bc, 0x98c1dc23, 0x298f2e62, 0xb897a37b, 0x49080cd7,
+    0x033914de, 0x68773c11, 0x330590e8, 0x17641863, 0x8d90c7cc, 0x30c8810d, 0x3f6a5025, 0xa7336a97,
+    0x0ea75aaf, 0xd2693728, 0xad3abf1e, 0x8bcc23b8, 0xb316affb, 0x5527f1aa, 0xb67b4c2c, 0xd2e4d427,
+    0xdc388ac0, 0x24ba7832, 0xba2a75f4, 0x5b0daa39, 0xf77c86a7, 0x04e6f714, 0x264307d6, 0x2a8683da,
+    0x21187247, 0xe9e3192e, 0xf3bbbab7, 0x81df1bf0, 0xd7cb0989, 0x7cae0472, 0x69085725, 0xe084e5cd,
+    0x7b9b0512, 0x4e1ee3dd, 0x0d6dbfb7, 0xafade571, 0x5184d1f5, 0x1c0c696f, 0xfd472754, 0x2d095c44,
+    0x912c93b7, 0xa6be2df8, 0xbaa0c9f6, 0xe8b261aa, 0xee88bb2e, 0x4e904eb6, 0xd33620e8, 0xd8df5db4,
+    0x91b15937, 0x69e850df, 0x84bf0ea8, 0x7ed4a5ef, 0xf5765278, 0x7f789abb, 0xf9ef45d3, 0xcf434bf9,
+    0x9aa31cc2, 0xf82a82f0, 0xd5f20eec, 0xf8ebaf1f, 0xc175c759, 0xb955f49c, 0xab669b94, 0xa9a825b4,
+    0x5def3e4a, 0xe878ec08, 0x478c060a, 0xdead05f7, 0xacef5972, 0x5dc61941, 0xa4ebee41, 0x1011ddfa,
+    0x684a9551, 0xc577e8d7, 0x7627c9b5, 0xc5f38d98, 0x68e3a3ef, 0x406dfc0a, 0xe4adea80, 0x8d56735d,
+    0x6a54ff13, 0x6ee3a8e3, 0x6014a50e, 0x5bb54685, 0xdf82745b, 0xd94c65db, 0x650fa0e5, 0x55ff7f3b,
+    0x924b687d, 0x9cd54e75, 0xe5c95b09, 0xe6ed64b7, 0x98d0c419, 0xe6a3d9c4, 0x5a039ee4, 0x772c7b0c,
+    0x133d3e9a, 0xd7abe32d, 0xca0ad5c4, 0x4c1f7e45, 0x953b9bf8, 0xcceec707, 0xe348bd93, 0xb2550012,
+    0x90f06b61, 0xf3ccadbf, 0x93346384, 0xfa8908ea, 0x04453916, 0x32f02d8a, 0xd605c816, 0x3b55468b,
+    0x8a35f620, 0x3765f32c, 0xc10d1123, 0x4c2ca955, 0x635d9136, 0x8caae5bc, 0x9b83c8b9, 0xdb839972,
+    0x8f359473, 0x5ba7face, 0x6b1d6c5d, 0xec2e67e8, 0x5a2b6db6, 0x60a207a2, 0xffdf98b8, 0x9b0b82ce,
+    0x7c02b05d, 0xbfcf6c7c, 0x868de289, 0x123b3236, 0xedf71c9e, 0x21966ca7, 0xfad44c82, 0x746cbed1,
+    0xbb468616, 0x6441b6fa, 0x4ee6a3be, 0x6dbe5ea7, 0xa3ddec2c, 0x86bcc87d, 0x54af2849, 0x5d7b28a4,
+    0xb4845695, 0x2ef8f525, 0xddfcb792, 0xfbaeb366, 0x4ed29f35, 0x70bc6b7d, 0x576ad747, 0x9a43e9eb,
+    0xdac3bcfb, 0x165158d9, 0x69233ec5, 0xc73e26c9, 0xeaf175fc, 0xb53ea0d9, 0x0311f0f7, 0xaf240edc,
+    0x3361174f, 0xaea2b6bd, 0x19bbdfea, 0x82fcb4a1, 0x4560dda8, 0x42f8a957, 0x732302ff, 0x951a0476,
+    0xd14f9d7c, 0xeaa071a3, 0x5240b114, 0x5f138ddd, 0xbfdafd73, 0x58fa261d, 0x92249e3d, 0x010249a3,
+    0x8aaa6f5b, 0xd64d2b65, 0x2918926d, 0xa62cacb1, 0xa0bf4707, 0x954b21ae, 0x6d03cc1e, 0xed5f4c2b,
+    0x7567a81b, 0x51cfcea7, 0x91ef680e, 0x479126f3, 0x89c3c28f, 0x7a6ee908, 0x4f14a952, 0xb640b538,
+    0x99732116, 0xe8c0afb7, 0x46665625, 0xfd54cc11, 0x48ae51dc, 0xfe77120b, 0x59fcf73f, 0x683bbfa2,
+    0xfe5cac54, 0x4c0d5d85, 0xfd5b3bce, 0xb865ed2f, 0x7ed5d3bb, 0x0f1197f7, 0x5148d62a, 0x4ce24d47,
+    0xb96dfe82, 0x0bcd91ef, 0x0b8d460a, 0x63968ec3, 0xf5896850, 0x6824cd26, 0x576db75e, 0x19ed8360,
+    0x021e1bb0, 0xd999c338, 0x85b74033, 0x0689247c, 0xf5eac8c2, 0xfe6653c8, 0x4e83c808, 0xc43e4d1d,
+    0x86a7003a, 0x93dada36, 0xfd003f40, 0x831a4cdf, 0xe92823d8, 0xedac788c, 0x55ce4980, 0xccde8766,
+    0x18007f7b, 0xd22a6496, 0x93c7c0fe, 0x230a68e3, 0xa65a4943, 0xc6bb3f18, 0x4438bba2, 0x0e269db7,
+    0x2362da0a, 0x6238c1fa, 0xbdc571b0, 0x88353970, 0xab531a04, 0xc1a43004, 0x6247599a, 0x9a97715d,
+    0xcf77225a, 0xd182bc24, 0xcea09073, 0xd2c1ecce, 0xac8834c3, 0x690a5d41, 0x0f470134, 0x5492c7ce,
+    0x443bc57b, 0x72c11652, 0xe3a1a98d, 0xaeb9e642, 0x5ef1e076, 0x74a40440, 0x5098cc49, 0x6fad153e,
+    0x38664777, 0x24e440e3, 0x4bee86f3, 0xd81d7aac, 0x76a8a60d, 0x1026f6df, 0x1ab9fa6c, 0xf3bebf55,
+    0xfa6ef533, 0xb7084468, 0x758aea45, 0x0c0716bf, 0xb05196d3, 0x4afb5c04, 0x7c9d9d40, 0x31761a09,
+    0x1f51f75b, 0xa91a7b2a, 0xd5d2d169, 0x584ad3d9, 0xd95c15e7, 0x55707628, 0xf30c36f9, 0x9dbd052d,
+    0x34ab704a, 0x8b2d00a5, 0x239ec080, 0xe860408e, 0x42634669, 0xb05cf112, 0xad855281, 0x996f9d94,
+    0x47e36560, 0x68fdd489, 0x5e001d05, 0xb63edaeb, 0xca8853ac, 0xd87c5874, 0xdfc214a2, 0xf25f394c,
+    0xd3acf172, 0x094ea9a0, 0xe74c1e40, 0xac6eaaa8, 0x247d2f12, 0x30d62213, 0xfdb15255, 0x872d7296,
+    0x72b3b9b9, 0xcadb7d60, 0x0fa59395, 0x08080461, 0xd8c569e8, 0xa16d9884, 0x7a00d8e7, 0x9afd6c61,
+    0xf7c0c40f, 0xae523cec, 0xd905c8d9, 0xbecf90c1, 0x878c6193, 0x9fd89e82, 0x5fdfcf37, 0x22b2f99f,
+    0x424bf6df, 0xe2e1099c, 0xe5dfbee9, 0xb29a8d4e, 0xe41e53fd, 0x8198546d, 0xae7d4325, 0x13aa9802,
+    0xb55f02fa, 0x9a64a38c, 0xe38c5961, 0x36f67bdc, 0x249c2fe2, 0x029280cf, 0x99568113, 0x3b15757e,
+    0xf88db275, 0x41ff9052, 0xb9ae3b28, 0x9b34b660, 0xba0e48ef, 0x82ad6d7c, 0xc6c89e7a, 0xb72df942,
+    0xda6afdab, 0x09c408b5, 0x4f1a91c4, 0x99330109, 0x5912b568, 0xf0fb475f, 0x91626c9c, 0x820a0d04,
+    0x5562b326, 0x1a5c7055, 0x38d8acce, 0xff5db917, 0x5fb4e5fd, 0x55b9734a, 0x6d626a3a, 0xeedc34d9,
+    0x6e98fdcb, 0xb728a39a, 0xdf1e2b39, 0x270adff9, 0x410d8edd, 0x7cff964b, 0xa6a09b30, 0x5f5204a8,
+    0x0fed8aff, 0x5d67f1aa, 0xcff72835, 0xe1729068, 0xd89f36d6, 0xb93b0a9d, 0xca7bc1df, 0xb3d5ac17,
+    0x4c8a9dd9, 0x41ca3d71, 0x36d8e958, 0x5d5f4409, 0x6190a340, 0x0bc8df33, 0xb05af388, 0x639c42b5,
+    0x3f933d1e, 0x5aaf5376, 0x92ce2a02, 0xce007d4e, 0xde3bfb5f, 0xf7370d8d, 0x6b725dfd, 0xd0950b8e,
+    0x83a047ed, 0x51002057, 0xc3a33f8e, 0x5ac685c4, 0x0790e127, 0xd845742f, 0xc3d8a357, 0xac072325,
+    0x162c24c9, 0xf21abce3, 0xe1eadbac, 0x038d2240, 0xfff01678, 0x876f32bb, 0x2dbd28a4, 0x6f11faf0,
+    0x69520bca, 0xb798b98f, 0x238a8128, 0xe582f1c7, 0x77d9fecb, 0x470453c6, 0xeacca415, 0xf60d5e92,
+    0x9489db0f, 0xccac428e, 0x77dc92b9, 0xf4c98fa3, 0x529ecd53, 0x33a8596a, 0x2e1bdfca, 0x18046d58,
+    0xac6fa8b4, 0x9a8c2025, 0x99ef212d, 0xa4322eb5, 0x0a3399b3, 0xe241797d, 0x08b8781a, 0x272a5bdf,
+    0xc6f9c9c2, 0x2864460a, 0x13ff1d5f, 0xdf251354, 0x4784d7b1, 0x34f274fa, 0x50c39f38, 0xda5331a4,
+    0x843e38b3, 0x90a9755b, 0x8598ea57, 0x4132e037, 0xd3b51e9a, 0x5a7fcf5b, 0x5945f850, 0xccbf5c1e,
+    0x869e4d99, 0x3960f153, 0x130b67e7, 0x26d484b7, 0x9d74c2fb, 0xbef9f4c9, 0x062c9fb9, 0x4f54fc16,
+    0x03e3a8c0, 0xd48bbd7c, 0xa719eb64, 0xb46ec7d5, 0x17f88186, 0xb6cdb4fd, 0x51a474af, 0xa29fe099,
+    0x4bbf353b, 0xae2b8b03, 0x125509c6, 0xef00fb04, 0x0d29f5a7, 0x0c14c03f, 0x3a327abf, 0x47140042,
+    0x83d9736c, 0xc6a9faf4, 0x08e8eb37, 0xacd1a9b1, 0x5bcf2bf1, 0x41c2e135, 0x30e580e2, 0x70a2a2cc,
+    0xbc7c053b, 0x82b7d2f0, 0x7e5e8f6c, 0xf8d794e1, 0x65001016, 0xfce29d05, 0x8bcb1bc9, 0x3113f237,
+    0x1a6475f8, 0xf3598d1c, 0x69df75c2, 0x99c21617, 0x37dee0bf, 0x9bca2c9c, 0x6073b48f, 0xdf3ec7a3,
+    0x7f4f8069, 0x10c98f9b, 0x51412003, 0xaca05f99, 0xba3358db, 0x03542ffd, 0xabe14b0d, 0xa14a9b8a,
+    0xb04d92fb, 0xae5d062b, 0x627b943f, 0x12716e0a, 0xb7ea2a41, 0xe27e6a9d, 0xa66ec130, 0x69c258cc,
+    0x911c031e, 0xa7b90bed, 0x0d6c18b4, 0x739f75e5, 0x072c35e3, 0x8dbfd40f, 0xfe689002, 0x0f2e2918,
+    0x3c1323de, 0xfd5498f2, 0xceed38f1, 0xdc734b54, 0x6e46f885, 0xfad7308a, 0xa831dc1b, 0x1bf9db23,
+    0xbd329220, 0xac4d3387, 0x657f0207, 0xed3cf7d0, 0x4fc37154, 0x8c300291, 0x696d41b4, 0x2b1d358c,
+    0xde681bc3, 0x265ff3fc, 0x6d31bdb6, 0x39c1f8da, 0x374d3987, 0x1780ddf9, 0x7bad76d6, 0x6924f493,
+    0xa0eb1e4f, 0xc496b56d, 0x99ab62e1, 0xc4361a23, 0x6b79dadf, 0x24daeb53, 0x9f2a86ec, 0x03930e93,
+    0xe855b014, 0x04d71451, 0xaa271f6a, 0x72669c9e, 0x488bc1e0, 0xa23ec354, 0xb8967640, 0x1f420373,
+    0x185c98b2, 0x7c6f20b7, 0x0f877967, 0x74929a7c, 0x48b07e70, 0x49ada52a, 0xb463a528, 0xf298e5ff,
+    0x2fe49ac9, 0x8c86623e, 0xd0faaaa3, 0x8f849a4c, 0xcf110f4f, 0xa171f8f7, 0x6250a3b9, 0x2a489383,
+    0x7407a5ae, 0x85d49689, 0x597f58f4, 0x67382e8f, 0xc6ed7896, 0xc6c32bda, 0x6980ccb5, 0xbfc8404d,
+    0xd5104991, 0xba8a49f9, 0xa389fd8b, 0xdc33eaec, 0x0a1075ce, 0xe7dd8a32, 0x55f702c6, 0xc65dc174,
+    0xedc1ae7f, 0xddbd1781, 0xa870b96e, 0xd82288ac, 0x6cf521fd, 0xfe1ab19c, 0x27c1063d, 0xd2f96157,
+    0xee69e4b2, 0x13758b16, 0x55c99b8c, 0x2a417685, 0x5587e3d1, 0x84143a1f, 0xd25a4d07, 0x5c6f91c6,
+    0x491bf854, 0x786be96c, 0xa747f977, 0xdd13a333, 0x7ebdcd24, 0xb0b41445, 0xf732a4fc, 0x2bdb0a0a,
+    0x9095bf62, 0x4ec7cae3, 0x840fb938, 0x42ac97be, 0xd55e4e9a, 0x33e73a02, 0x9b96019a, 0x9cc6d324,
+    0xdfb85345, 0xcfdba06b, 0x99b54134, 0xe230d6ae, 0xa3f0b64c, 0xa0bac226, 0xeeb2c3dd, 0x39daa25e,
+    0xcee03b14, 0x88da442b, 0xc6966beb, 0xb60cfc8d, 0xd8528918, 0xb875daf0, 0xb10942f1, 0xdb84e5fb,
+    0x4cadc1ff, 0x43c50d1a, 0x00c57b7a, 0xd879e649, 0x78a60475, 0x0544659b, 0xfe54b0d6, 0xe9023a77,
+    0xa17c56ca, 0xa3077e3e, 0x04d10230, 0x04055223, 0xa87f9433, 0x3cfb4f7a, 0x9997d890, 0x9fd07517,
+    0x2b0c5565, 0xd063aad8, 0x975279c4, 0x868d15d3, 0x4cb4abcc, 0xcc286c70, 0xbffc7f11, 0xb3053a15,
+    0x20de4be6, 0x3df4014a, 0x4e01be5e, 0x42d1c4c7, 0x001e500f, 0x20c6c17e, 0xe2eea391, 0x00ac13a2,
+    0x66fa6ca5, 0x1d47e759, 0xe173e0ad, 0x77d95744, 0x26ebc726, 0x45110996, 0x4c8c36ca, 0x40398bc4,
+    0xd8ea0a5b, 0x113ecf9b, 0x2987a082, 0x7ece9433, 0xdd43dd10, 0x3c1f03e1, 0xffbff75e, 0xe17033cc,
+    0x969b7003, 0xf8f143ab, 0x57202430, 0xb39b2940, 0xb7751de2, 0xc7c81098, 0xe9a4be30, 0x56254c06,
+    0x1a76b8b6, 0x0e1b5203, 0xbc7233c7, 0xaf3b1394, 0xeb9e4dc8, 0x9f487f7b, 0xd69f9297, 0xffa2edf8,
+    0xf7c18bbb, 0x712fb540, 0x892b324d, 0x7d83f2f9, 0x8888cec3, 0x3671104d, 0x78f8c6ad, 0x97f433a6,
+    0x58ccdd64, 0x82461e11, 0x8accf07f, 0x2e40da87, 0xd33750e2, 0xb95088b8, 0x82f44d0c, 0xc91283e4,
+    0x15648111, 0xe361f878, 0x9189e550, 0xa29d26a2, 0x51dfd565, 0x195bd3b0, 0xdbe7ec78, 0x798c3048,
+    0xf8725bc3, 0xccdbb49c, 0xfc90c4d7, 0x90135d47, 0xd8719af8, 0x391c3b88, 0xec8b031c, 0x814e6632,
+    0x9fdc2638, 0xca2b2834, 0x81b6e083, 0xf9810713, 0xee4bacac, 0x90969982, 0xd46d2fcb, 0xe3398ecf,
+    0x3cfdd130, 0xb602115e, 0x005986fc, 0x8203690b, 0xc0f69651, 0xf4d14ce7, 0x7e2492f8, 0x7168e122,
+    0x82bbcde2, 0x12422550, 0xda5f1e37, 0x6aab9296, 0xc8079be2, 0x5ef5868e, 0x7ba2fbdb, 0xc36415a7,
+    0x10df5d77, 0xc41afdbe, 0x03f39167, 0x8a17ca70, 0x9f24dc0d, 0xb803f8f3, 0xd814fcd0, 0xf5fbd1da,
+    0xafe3b962, 0xda115f98, 0xfbfb9999, 0xcac35b01, 0x39287212, 0x7d951442, 0x444cdafd, 0x5abfb44c,
+    0xbe2d13c9, 0xc845f4e5, 0x7edb9863, 0xcf39651b, 0x645fdfdb, 0xa97e2267, 0x42468037, 0x558301a7,
+    0x325c7c73, 0x0f02dd8b, 0x1c33f9ec, 0x4dec77a2, 0x5c1263ef, 0x2136bf6f, 0xd36dd2ea, 0xfeb30f7d,
+    0xa4b2052e, 0x3549faba, 0x64d618d7, 0x3fa03484, 0xcb599bb7, 0x83e33405, 0xc7a9e7d6, 0xbd012c88,
+    0x4af758a6, 0xcc8c0eb7, 0x69e8fb7c, 0x55553edb, 0xf0951f7f, 0x48ef7a02, 0xe44edd39, 0xf941add9,
+    0x4dabba85, 0xe28ec31f, 0x542e7c72, 0x62274464, 0xbe052148, 0x270e5ae4, 0x33f731c6, 0xeec43e9c,
+    0xbfd7c1e3, 0x7ec45f45, 0xaa4fad1b, 0xe947e9a7, 0x696edede, 0x9a23ff93, 0xbde6da5d, 0x17d05a98,
+    0x06af1fe5, 0x0a1f7044, 0x7ba58e37, 0x979672fc, 0x5043dc7c, 0xece262b8, 0xb0db059f, 0x1a91cf07,
+    0x287753d9, 0x69231a55, 0x203c06df, 0x5c0a0e02, 0x0a2e4fcc, 0x89889aa9, 0xfdbff920, 0xb142d525,
+    0x468640c5, 0x59b8afcf, 0xcf86dd22, 0x9654e36a, 0x77d4bf71, 0x159f5915, 0x0a68b5f5, 0x9a04e229,
+    0x87e922b4, 0xc7d1c213, 0x800f15ed, 0xad9775c1, 0x4d3bbca5, 0xc283107b, 0xfc242b92, 0x37787414,
+    0x3ee1fa83, 0x4ae05c9a, 0xb77789ed, 0xf4956c35, 0xed4265e2, 0x24560ea0, 0x3b4a3e42, 0x22acf322,
+    0x1de96195, 0x040ac900, 0xe7b7716f, 0x48432259, 0xf12a9589, 0x0871d573, 0x9ce437b5, 0xe12f3106,
+    0x6940404f, 0x93441765, 0x62b31c38, 0x3af3f73c, 0xbc275e0f, 0x3cf7e37f, 0x7d497a20, 0xbbe2a2d5,
+    0x00000000,
+    0xa14f5e4f, 0x0aa4e297, 0x062e0eda, 0x810b1157, 0xd317ccd7, 0x9bfbe8c3, 0x958b724a, 0x500e4262,
+    0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000051644997561738171793118383440060237486594115\
+                          85658447025661318713081295244033682389259290706560275662871806343945494986752 */
+  { 0x00000000,
+    0x9cec6da3, 0xaddd41f1, 0xd45d09ac, 0x53fe82ed, 0xadd37cb3, 0xbd2bf591, 0xf8a29b07, 0xe0852b6a,
+    0xaf70efe7, 0x2988e15a, 0x139bbd58, 0xe4ab4290, 0x16059c89, 0xa78df541, 0x0e586a36, 0x730c7195,
+    0xe7775cfc, 0x01ffc947, 0xd9776ff5, 0xba9b7b21, 0xa18103c1, 0x57711a49, 0x939e3528, 0x9c39fc21,
+    0x7414d752, 0xa72ce6b0, 0x1a5f211c, 0xca9f725b, 0xc7c769d7, 0x66581157, 0x099d8960, 0xa868acb2,
+    0x15c9e5cb, 0xeefcfd24, 0x8786fdd0, 0x22c0ca45, 0x947e9242, 0x9ccb7f2a, 0x6d06765f, 0x7dc546a7,
+    0x006e3dce, 0x4693ef4d, 0xb543da90, 0x77bd45b0, 0xc47531f5, 0xf6f9f6cc, 0x1c8ffe86, 0xf91c3db6,
+    0x6f7c44a6, 0x4ddb0199, 0x1c7249af, 0x3fa888a8, 0xa36040c9, 0x3638688c, 0xa7026edc, 0x3662dbb4,
+    0x270961b1, 0x3e19de93, 0x12fd2869, 0xb0610cf2, 0xc9a08dd4, 0xd406884a, 0x9f48aa1b, 0xbf21f5b6,
+    0x8074cbad, 0xb7b71fad, 0xe5763748, 0x100fc38a, 0xfddef02c, 0xc59ae756, 0x5cb5fed1, 0x674a4ca7,
+    0x2c56aff8, 0xfd760d3f, 0xe79d160b, 0x56ef9676, 0x568f5530, 0xac250245, 0xa0ac0f64, 0xd0a29305,
+    0xe37ada87, 0xbc257285, 0x213cd3ed, 0xcffbaeb8, 0xc6c81f28, 0xf7cd08a4, 0x55322ac8, 0xbafad04e,
+    0x106161a2, 0x6f7b41af, 0x075cb8ae, 0x221cada9, 0x0213317f, 0x83ce5e89, 0x899f4b2a, 0xfcd7532d,
+    0x4e7f471b, 0x6d07f65b, 0x8db5978b, 0xcaa81f3c, 0x729a6aaa, 0x9c3b4388, 0x5bd1fc80, 0xcf7d07b6,
+    0xf1011253, 0x799a722d, 0xf8f6552e, 0x5809a6ca, 0x28baca1a, 0xea7a177f, 0xb6fe4c8f, 0xd21f5948,
+    0x0b6e799e, 0x889c5f44, 0x6619dae6, 0x175751d7, 0xbe12dc06, 0x7d26e531, 0x92319752, 0xa8fa9ce2,
+    0x482fa9a2, 0x46e35110, 0x6a2af011, 0xcd37e996, 0xc2e969a5, 0xda36e5b7, 0x9aa5747b, 0x8d50c195,
+    0x63be332c, 0x4c3595a5, 0xa847d891, 0xb04f3d29, 0xa676d7f2, 0x76b33c10, 0x0c405609, 0x34816ff1,
+    0xf685b500, 0x7cb61da7, 0x0af6de68, 0x93d40b20, 0x3e5008e8, 0xcc0fbfce, 0x17f4e818, 0x78b05dec,
+    0x155fdba1, 0x9df2d382, 0xe6c9b6b0, 0xce1ae70c, 0x74bec166, 0x7270d0c2, 0xb06e42b3, 0x87a2dadb,
+    0x5363ae06, 0x9b60cfcd, 0xffdd0419, 0x8738c8c4, 0x1de1aa03, 0x51ffcc92, 0x72fbcc3e, 0xda90106a,
+    0x9cc4534a, 0x787f9417, 0x28bb60f0, 0x94d406f0, 0xa05f2829, 0x28853555, 0xd8aff8ef, 0x1340eafd,
+    0x4d44d0d6, 0x30608d3c, 0x43a5d511, 0x6808c821, 0xf0339c06, 0x7d47a02f, 0x1dc07733, 0x3ec899d6,
+    0xc3ce47b5, 0x884527b7, 0x058ec30a, 0x6a455936, 0xf4809db3, 0x9897338b, 0x8e787001, 0x1f8d4fe6,
+    0xac2deeb9, 0x64061d20, 0xea5b70e5, 0x675b06ca, 0xb6104472, 0xeb5c4e16, 0xab2b4e4b, 0x8658a80d,
+    0x7d96442d, 0x6c6e92e1, 0x5b15f7f2, 0xdfcee223, 0xb52811c5, 0x455213c9, 0x70dd5aed, 0xba91ab04,
+    0x2f263035, 0x77ce7550, 0xa738589e, 0x9add6641, 0x11f7d06f, 0xe418da5d, 0x2bb5c994, 0x8cafe2d0,
+    0xc07e7f11, 0xc6f582c4, 0x8eed0150, 0x1944ccfc, 0x2db2698b, 0x61e1cbe7, 0x77c95a7a, 0xd3d5b9f1,
+    0xd00a449d, 0xda491ad4, 0xe778baef, 0xcdca56ac, 0x39e70858, 0x83738323, 0x65472d66, 0xe34f7097,
+    0x34bca2fb, 0x21868a7b, 0x78032f0e, 0x3fc85992, 0xa3b9c611, 0xab5933d8, 0x7c4e9200, 0x995c86b7,
+    0xf5ad74e3, 0x2c6865bb, 0x23e5d393, 0x0be11cb5, 0xebe54ea6, 0x29950a63, 0x5a03ae58, 0xf4a3cff8,
+    0x13a7de1c, 0xb7cd104d, 0xd23c68b4, 0xf5a36955, 0x9c8e6884, 0x3f72224b, 0xbdd0d6ba, 0x05d52b94,
+    0xf388a984, 0x19b0927b, 0x1369a178, 0xfef396d2, 0x99e603dd, 0x597c31e1, 0x9ed59df2, 0xf4ff4165,
+    0x76b4223c, 0x5c1c056c, 0xc3463138, 0x964935c8, 0xf30336ac, 0x1fc41a27, 0x86aa6261, 0xbcdf95f9,
+    0x4a04aee2, 0x9c90bd0c, 0x91f259e5, 0x6369ff93, 0x103b0352, 0x0e117ff7, 0x441196d8, 0x231652f2,
+    0x29322b54, 0x2f38d0e5, 0x95060138, 0x30404a85, 0x73c139ee, 0x8bbf58bf, 0xd6db5b9a, 0xc975ace8,
+    0x44afd1f5, 0x1b86595a, 0x705e4f8b, 0xe02fcc82, 0xb93d7f86, 0x19bf26b3, 0xb4ca4384, 0xaa816ec3,
+    0x3d791dc7, 0xdea13b95, 0x7b4bdb53, 0x7c8f7142, 0xfbdcd450, 0xddb7f1d7, 0x46998def, 0x3d703cbb,
+    0x80adb0e1, 0x9be27877, 0x00ea99a0, 0x35aac799, 0x61bf0ef7, 0xef48ed92, 0x68021b8a, 0xa3a444f2,
+    0x51666bc5, 0xe93127a4, 0x4942d83f, 0x2e0063ff, 0x3a36bfbf, 0xded7e13e, 0xf001adf7, 0x666d23c6,
+    0xccacdaf7, 0xe1e166ed, 0x74073877, 0xb02caf8b, 0x22c8eaa3, 0xebcadcc0, 0xe853a107, 0x2757e565,
+    0xea4af825, 0x82ebc332, 0xab46aa1c, 0x8c4d188e, 0x09bc386b, 0x64415112, 0xef4fa0b6, 0x027ad0af,
+    0xf5b5d8e0, 0xccbd3826, 0x58a0ba97, 0xca1f1496, 0xf558e40d, 0x0c06b93f, 0xa95fb152, 0xde7ce2c6,
+    0xa175f73b, 0x75bdcd14, 0x25e914a3, 0x50286b22, 0x3ee869c6, 0x5812b6f1, 0xdf33a918, 0xd0c6ee5c,
+    0xc93611d7, 0x769de042, 0x309a3ffe, 0x5ded41d6, 0x3c2f99dd, 0x8cb1c079, 0xb04e7a44, 0x6825a880,
+    0x91ce68a6, 0x2262fb9e, 0x8f0e67d9, 0x0f18356f, 0x5138d158, 0x29245539, 0xcf02e1ce, 0x9e15ca2b,
+    0x63d935fd, 0xb498a533, 0xdd3a9ab4, 0x535d271d, 0x338d2878, 0xd06cafb5, 0x5bae8b63, 0x312c87f1,
+    0xfbc1abfb, 0x1b5a4c71, 0x62f3ac5a, 0xf10d065b, 0xb6bf57ef, 0x0143921c, 0xfa5a5639, 0x112fe7d8,
+    0xe89f571e, 0x81890e40, 0xeb8e538b, 0x727b6ec9, 0x9ebe5ae4, 0xa7834886, 0x2d28b75e, 0x0c7c16ac,
+    0x74c6a07b, 0x2bea9636, 0xc3c701f2, 0xa1163eb8, 0xe1b5f537, 0x3cfc5c73, 0xdb124e5e, 0xd9a2ccb5,
+    0x1221d437, 0x1efbe6a7, 0x6bba770e, 0xc8a66ed7, 0x8af11401, 0x302a5bcd, 0x154f7f21, 0xa0dc6c41,
+    0xd0dee018, 0xa72bbf1d, 0x9a5c4529, 0x7895aa49, 0x7d67a2a9, 0x68b939ca, 0xe5830de5, 0x22265175,
+    0x48e07e64, 0x550377dc, 0x8222945e, 0x39bb5f9f, 0x00160db5, 0x8393128c, 0x5fcc69f5, 0x2738f03b,
+    0xa24ac53c, 0xefe19e14, 0xcd00c649, 0x2b3ed700, 0x2f362371, 0x9ce1f152, 0x486523e5, 0x80ca01bb,
+    0xf865d625, 0xfa47eb72, 0x176d2eab, 0x449a867c, 0x4f28da28, 0xd368cd42, 0x32d93174, 0x3da2da00,
+    0xceb087bf, 0xc734bbe2, 0xd357187a, 0x87c6b6b1, 0x7e1f7c85, 0xee728b1a, 0x2418364d, 0xc8d38e55,
+    0x7979c2cf, 0xe096c16c, 0x8fe47397, 0xa483568e, 0xcbdb9b09, 0xb24ec1b0, 0x8c0cd425, 0xd80160cd,
+    0x695b470a, 0xae3f5b0d, 0xb210da02, 0x9b105e00, 0x65f81609, 0xcc0d72bd, 0x2072ff68, 0x53e1e9eb,
+    0x1b3af26b, 0x8260eeb6, 0x8644ce50, 0xf7e7c3b0, 0x92a058e9, 0x6682cfd0, 0x6fb94282, 0xab79c0af,
+    0xda814d23, 0x3755fadf, 0x6d119da3, 0xdf3ebebe, 0xb496c32b, 0x701ddea0, 0xf66d087d, 0x99b97516,
+    0xee1ac880, 0x0ffd1534, 0x4a16374c, 0xb0f9ec13, 0x34ad74d7, 0xf0782fe6, 0x071dae8e, 0x2470c41b,
+    0x5aa5ff53, 0x4b364278, 0xc7a3d606, 0x8608c2f4, 0xcbb53855, 0xf0f94e2b, 0x90c034a9, 0xfda9a920,
+    0x4fbe87cf, 0x05aa2fa1, 0xd781bb50, 0xab31a762, 0x165a51e0, 0x79b6442e, 0x4c686733, 0xbfdca1fa,
+    0xa1bad5e7, 0x9daa35bb, 0xab829a95, 0x9bbfe5fb, 0xae3a6c3b, 0xecbcf3ed, 0xc654e0f3, 0x20325038,
+    0x13cc21f2, 0x75088c6b, 0x5b82e274, 0x4fdf3ac6, 0x63922723, 0x0dc58a95, 0x246e2b58, 0x23dc760b,
+    0x64b7b37e, 0x1bc1ba00, 0x7969dc47, 0x46a0f8fd, 0xe7046a76, 0xbad75d06, 0x2156fe1a, 0xbbc380d6,
+    0xafa5f136, 0x632232e2, 0x76cc3b38, 0x425bb7ba, 0x215baff0, 0xeee47271, 0x49b09005, 0x046739e1,
+    0x5a020aab, 0xe4a89e0b, 0xf3c6f690, 0xf373e2d5, 0x3e454dab, 0x1d02cdf4, 0xb1ac20bf, 0x8e8d623b,
+    0xacec05a0, 0x0689ffde, 0xb0b2fad4, 0xbad0a184, 0xf26ed61b, 0xe14a1e7c, 0x061af74c, 0xa9f72b5d,
+    0x1719b5b6, 0x16030ada, 0x900969a2, 0x9d989df2, 0x647ad93a, 0xffb6b8ae, 0x94a33e3e, 0xbf04de97,
+    0x0064f445, 0xbf72e788, 0x09253383, 0xf1ba20b0, 0xcec609cf, 0x28758f86, 0xe553f269, 0xc4a8ac9c,
+    0x8838df83, 0xbdb1549c, 0xb44124f1, 0xd68eece4, 0x29dcf24c, 0xba16ab35, 0x4f473aaa, 0x16a13c7e,
+    0xa09775c5, 0x128f65a2, 0x99cacf84, 0xa5811ffd, 0xe2a8e89e, 0x6ce054d7, 0x0cec1eab, 0xee33b6ad,
+    0x20cf5b1f, 0x25885980, 0x7410bd64, 0x0fd82e1e, 0xdcf88127, 0x848f4dca, 0x374f01da, 0x81d85d54,
+    0x581670ca, 0x492fdeed, 0x4be59756, 0x475a8080, 0xcf6a5b73, 0x05b02eb6, 0x13448acf, 0x6994c570,
+    0x54793ed1, 0x657ee5d4, 0x04394c44, 0xe874b51a, 0x5848bfff, 0xa67475a6, 0x07430dae, 0xf2f3d26c,
+    0x50639550, 0x904e2999, 0x63f70aff, 0xa0a75e55, 0x31cfa3c1, 0xbd432d6a, 0xa373f78d, 0x0009e636,
+    0x0861323c, 0x47a37ad1, 0x319a39fd, 0xeb31363a, 0x7679d430, 0x4c631a18, 0xcbcffc79, 0x62459bad,
+    0x234767c4, 0x7e41eba2, 0x6c0f09c2, 0x9652b699, 0x57c286ea, 0xd7a520bf, 0x4ab1ce7d, 0x32620462,
+    0x767576c9, 0x30eb7ed7, 0x898578c9, 0x4fff3a49, 0xac45c751, 0x48cb585b, 0xbd62bc3a, 0xbad2771e,
+    0xe2ae39b2, 0x0e50e73f, 0x5e2aa156, 0x33beef29, 0x0119f63d, 0xd9c3c904, 0x51c48939, 0x258422c0,
+    0xb31d905b, 0x3256fad8, 0x68686b54, 0xc419f8ec, 0xc4642ea6, 0x1f916a1f, 0x6ddd1329, 0x778cd721,
+    0xe8db903a, 0xfc777041, 0xffa85c72, 0x6fdc52ad, 0x66aaeca0, 0x2b6d02f3, 0xcfeceb4d, 0x620ae10d,
+    0x16af1629, 0x214bd7f5, 0xaee6dcbb, 0x30da69fb, 0xb5d50b2c, 0xd3d74861, 0xa47427f5, 0x1da9d4ce,
+    0x7009e2a2, 0xe7d8750f, 0xc3995760, 0x79978439, 0xc576f708, 0x10d17408, 0xdd563989, 0x00709248,
+    0xb7c55609, 0xb4ff2a9e, 0xc572e42a, 0xab39ca3d, 0x74c8db29, 0xa7a2cb9b, 0x6e6299a6, 0x339e2583,
+    0x029911b3, 0x78121680, 0x11b86fe1, 0x6b68e3f6, 0x0f5e19b1, 0x0d483c07, 0x4635be51, 0x98be6cbf,
+    0xe2d1fb51, 0xb7751417, 0x2d954c95, 0xbad49004, 0xd1e6033e, 0x1f7d1b92, 0x8d639b69, 0xb4304504,
+    0x6a386810, 0x81b65d82, 0x7e77fb12, 0xeb8f6793, 0x953c25cb, 0x44949817, 0x4451688b, 0x22b6a9e3,
+    0x08bc18cd, 0x23a57651, 0x609ff096, 0x17efd64f, 0xa10107c3, 0x066d5b0d, 0x59818d19, 0x820230a2,
+    0xbd73302d, 0x8792ed5d, 0x45c8b21e, 0xbccff2d5, 0x1b03d4b0, 0x0e218051, 0xbe044aea, 0xd94c2c56,
+    0x092ee2bf, 0x092e0faa, 0x8673eac1, 0x92d67b07, 0x8be28541, 0xbbd1ad02, 0x22dfa817, 0xb4604b83,
+    0xc7f56f9e, 0xfe0b6db3, 0x2673ad28, 0xeafcf8a1, 0xdb8ba317, 0x5a57892d, 0xd62f34d8, 0x394c7dee,
+    0xf7012f76, 0xe30f3e10, 0x0096d93c, 0x99ed1788, 0x63be0c9f, 0xc6080831, 0x8fda68fe, 0x388d294d,
+    0xfc950603, 0xd1bf7bc2, 0xb6d34be7, 0xcdc37ea2, 0xabaf50c7, 0xfecbf3b0, 0xbafafd86, 0x10ced742,
+    0x656b32fb, 0xadb32986, 0x7ca4f5fe, 0x562d70ae, 0xdaaf3478, 0x23573c10, 0x21e7ab55, 0x0ac83dfe,
+    0xdb649ed4, 0x93387b70, 0xfec1d361, 0x9b73f870, 0xa944ef08, 0x3f348008, 0x9f2c4f05, 0xf967cb3c,
+    0xd56dc31a, 0x64898e08, 0xaa2138fc, 0x7afe5300, 0x652f35b6, 0x6790e15b, 0x91163283, 0xdcb9d8a8,
+    0x13c0c3ad, 0xae445b78, 0xaf72f292, 0x08ab84d5, 0x3222b99d, 0x5eb1d95e, 0x8bdd8c3e, 0x5c165d88,
+    0x08442151, 0xf2c15f40, 0x48267c92, 0xef70fdb8, 0xe3242d41, 0xb39592c4, 0x37c71f8a, 0x19f3016c,
+    0x37a86606, 0xb4a0ce76, 0x2bf2bf84, 0xdab96d37, 0x314cfa35, 0x61857785, 0x2f40e8a9, 0x852f9689,
+    0x2b8ffa0e, 0xdea98862, 0x50d9c416, 0x1d82d721, 0xabab0e62, 0xa55f8efa, 0xff2da0e9, 0xc3a1585b,
+    0x30821cfe, 0xbf98a2c4, 0x25a0db13, 0x2c49f9df, 0x86337815, 0xb081a3a9, 0x9a4f9413, 0x75cd5154,
+    0x179c049a, 0x270b1715, 0x367824c5, 0x19294cf5, 0x12cf4445, 0x38d3ad45, 0xcd3ae2da, 0x867c9155,
+    0x96b4e71c, 0xdc3079f3, 0x6fb421c0, 0xbb152257, 0x920edb0f, 0x4b4366c3, 0x4d852d5e, 0x06c8a634,
+    0x8096fb2e, 0x41b3a073, 0x654e389b, 0x374a79b8, 0x468c4f20, 0xa242363a, 0x1a270c69, 0xa98a08e3,
+    0xbf50b14e, 0xb451ec80, 0x342ce34f, 0xe41b5c0b, 0x2d892dd3, 0x4738329f, 0x09c8f8d2, 0x4511980c,
+    0x8fbfa3b7, 0x4ebfd7fd, 0x38dcca09, 0x4b294b3d, 0x3f4e1fe0, 0x196d20eb, 0xf4b8b01c, 0x8b2a086e,
+    0x6db42a8f, 0x56ae1bf5, 0x94e832e9, 0xa97e4ede, 0xa89d4aeb, 0xd30c9deb, 0x147a1fa4, 0x8a286a21,
+    0x1643fef2, 0xf6375bdf, 0x013d25a1, 0xd4fb9aa1, 0x20669794, 0x7e0a8df2, 0x6fca7bed, 0x154f1903,
+    0x11e1040e, 0xd8a06dd2, 0x9fd4791c, 0x2995e4bc, 0xa5462f50, 0xdfe52738, 0xe79c8d65, 0x07638c21,
+    0x679344cf, 0x23c5f4c7, 0x0181da7d, 0x232255ba, 0x7e16cc71, 0xea98c1fd, 0xe08d49c7, 0x13ccf318,
+    0x904bdd61, 0x42148c48, 0x8c763557, 0xe1e9e360, 0x78c29a84, 0x35d3f166, 0xb296629c, 0xe7d5d160,
+    0x2fafdcd1, 0x6cb995d1, 0x0e5c3d1e, 0x5a24e9cf, 0x6cd59cb9, 0xf81be274, 0xd0d2b1c8, 0x8042efbd,
+    0x291d0ba7, 0x0497b133, 0x5c3c8409, 0xe98a800c, 0x6972021f, 0xba863f09, 0x60c95a63, 0x17285061,
+    0x62e7f02e, 0x19c94314, 0xa2a9a59a, 0xd7e08853, 0xb6e9b038, 0x784a647d, 0x4099024c, 0xa64d6ffe,
+    0xd834ae1f, 0x076dce90, 0xe9fc6c97, 0xbd1b2b14, 0xd0fb6534, 0x95f98a1e, 0x6d369a47, 0x7d9fa2ef,
+    0x21fb4895, 0xbbd38375, 0xbe8f7b2a, 0x45e52161, 0x1e39ef02, 0xf96d7452, 0x941c2e96, 0x6731542c,
+    0x85433da4, 0x7acee094, 0xfbbb8f9a, 0xe3f63339, 0x2240193d, 0x098cf99d, 0xadb70677, 0xdcee8b10,
+    0x72a9023a, 0x679cb72c, 0xa96e992a, 0xe1e74cdf, 0xab633b8f, 0xa285c02e, 0x80c060df, 0xfb754983,
+    0xa4435fa8, 0xb68bf210, 0x83d244fc, 0xe44713f8, 0xedd51632, 0x4f17df68, 0x253b0059, 0xe6d9f98c,
+    0x8ae658d8, 0xd1b3fc79, 0xe839afbd, 0xc27150ac, 0xefb0f5d5, 0x6b25207f, 0x7c1899e4, 0xdb8e4cd6,
+    0xa0d8cee5, 0x8d0da5ff, 0x9ad2fcee, 0x259ac012, 0x8966d68d, 0x40544a54, 0x2c224f32, 0x6d6e9283,
+    0x23efe557, 0x3e6c55b3, 0xc1c85bc6, 0xe75d052d, 0x2e5d6399, 0x59fffd7c, 0x6d7a274b, 0xc1635928,
+    0x54915a1d, 0x1f37b8a4, 0x8a38279d, 0xc1062568, 0x418085fe, 0x39fccd14, 0xb347d8f4, 0x341ce8ad,
+    0xc5f1f2ba, 0x8b71b82c, 0x0845aefb, 0xbeae50d2, 0xedcc3358, 0x4b24a1e3, 0x7b6fcc8b, 0x27b8a1fc,
+    0x0d2341fa, 0x4c54041c, 0x9ab59691, 0xf8cd574e, 0x0a38b6a3, 0x0ca98716, 0x71990a78, 0x9b1413b0,
+    0x00000000,
+    0xd0a7af27, 0x0552714b, 0x8317076d, 0xc08588ab, 0xe98be66b, 0x4dfdf461, 0x4ac5b925, 0xa8072131,
+    0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000025822498780869085896559191720030118743297057\
+                          92829223512830659356540647622016841194629645353280137831435903171972747493376 */
+  { 0x00000000,
+    0x79a540bc, 0x090fb23c, 0xce5464ea, 0x0a43ba4d, 0x2910ca9b, 0x8c90296e, 0xd5025a55, 0xd50a6a57,
+    0xa999c7a0, 0xd2905bb9, 0x59af09a3, 0x2fe5bdcf, 0xad14c17b, 0x93d801e2, 0x39ca9fbc, 0x3875b2f2,
+    0x345ccb78, 0x97cabe73, 0x9447d3c8, 0x48d51299, 0x63ab7665, 0xa2e423bb, 0x7e7c4307, 0x2e63a1db,
+    0xd00f0d7c, 0x9145b336, 0x87462731, 0x828d35c8, 0x1c9dbf65, 0xb340102f, 0xe58e22f5, 0xa18558c9,
+    0x487e15aa, 0x796213bc, 0x9e679536, 0xcaaec025, 0xba8f4de5, 0x5f7a6859, 0x3c9113c9, 0xa185fc83,
+    0x9a734660, 0x09687dad, 0xfd329aeb, 0xfacbc353, 0x377add7f, 0x72f140ea, 0xf325c6f6, 0x490cd697,
+    0xb3d5eac2, 0xfbc16092, 0xf4e2b0a4, 0x5f1b341a, 0x3ebc16bd, 0xcb8f47e2, 0x5a5f85c0, 0xc427552d,
+    0xb2b6aacf, 0x7264b234, 0x392786d7, 0x261b2557, 0xc23f53ab, 0x436ce1cc, 0x957a7b26, 0xd767c8ac,
+    0xfa9a0b76, 0x966f2029, 0xd10feb3b, 0x6555bd3c, 0xf903a0f2, 0xcb706b72, 0x6e7bd6ee, 0x8450cf87,
+    0xf20a9418, 0x837b4f92, 0x44219d56, 0x01bcf2a8, 0xa05059d9, 0xc0f150b3, 0x1182c2a9, 0x1587ecfd,
+    0x25ae362a, 0xa92265dd, 0xbda2b093, 0xcd51a84e, 0x58c2d620, 0x0ef8f7a3, 0x4d8aed76, 0x502f3bea,
+    0xbdc523c0, 0xe3f60345, 0xf7781134, 0x7723672f, 0x38e0deee, 0x20f95dbd, 0x507ff6c5, 0x0721aa80,
+    0x245e44a8, 0x3c56e6bc, 0x8da468f9, 0x815e5bd8, 0x7e030585, 0x0f0861df, 0x87eee687, 0x4e672c35,
+    0xccbfae8f, 0x8acd9739, 0xc3b089e1, 0x3d750551, 0x5643e349, 0x1afd32ab, 0x61479927, 0x2eb82538,
+    0x91396368, 0x74717a76, 0xea24faaa, 0x7e463273, 0x94905269, 0x10688806, 0x847d82da, 0xe80486c3,
+    0x352b25b5, 0xad329cb2, 0xc1227fc1, 0x90fe9356, 0x702c2668, 0xaa5d4dbc, 0x035549a1, 0xd1e3f5da,
+    0x4f1dd011, 0x29437b95, 0x1fbf265f, 0x90ffb19c, 0xd0535a95, 0x9463b3d3, 0x95121868, 0x59009db9,
+    0xf1adac0f, 0x3cd2b073, 0x6c47bd08, 0xcebf380c, 0x7ac2a460, 0x74402d4f, 0x1bc037ba, 0x3787a8d6,
+    0xe183e61b, 0x58706f09, 0x7cfc3ad9, 0x06952e3e, 0xf60ab38a, 0x1051586a, 0x9389c12f, 0x367a9370,
+    0x283a1ae1, 0x0e824b69, 0x2f31993d, 0x1b7677ff, 0x63734564, 0xb9519bbb, 0x02e10ff7, 0xd859b799,
+    0x166a0f43, 0xf5e823a4, 0xbd294ed4, 0xf1dc905b, 0xe2736642, 0x39dc1ee2, 0x50107714, 0x8b19c46b,
+    0x737c25d6, 0x2f5a1fd9, 0x0258d374, 0x7810d629, 0x9ea4c304, 0x63aeba8c, 0xa089f947, 0x7fafc961,
+    0xf44d5053, 0x9a104fac, 0x96723bf6, 0xe4687139, 0xd7e54bc4, 0xad99fd18, 0x3ec9c995, 0x64bb83d1,
+    0x575b2dde, 0x03c25c5f, 0x494da87d, 0xdeaad9d8, 0x8e679d83, 0xa8e29f02, 0x8eb5fb54, 0xbc97abdb,
+    0x2cf768cf, 0x72937acb, 0x2bddd4a6, 0xd7b9b09e, 0x99163ac1, 0x2d3dd542, 0x71744b65, 0xe36cf5e3,
+    0xb434f92f, 0xe3632165, 0xbd06bd73, 0x2e2bfa4d, 0x58453970, 0x16d5e09a, 0xf330cee2, 0x946fedf1,
+    0x7958fd69, 0x315394aa, 0x7d0f92df, 0xee3d6719, 0x4add7b00, 0xc4a0bb8e, 0x330b3627, 0x28f4b70e,
+    0x76facd20, 0x405cafa5, 0xff8b3a4d, 0x04bc5847, 0x6c4110a0, 0x09d95fbe, 0xa57fbe04, 0x62b5360a,
+    0xf8feabd4, 0xc7ff0536, 0x6b7bd4b6, 0x0b4e2b93, 0xf7c7ecec, 0x82c7f225, 0x06fa73ca, 0x47f10e4b,
+    0xf6e75501, 0xc6dafa0e, 0x6b41eb75, 0x13d7fb8d, 0x4c5cd1a6, 0x28e7cb56, 0x58e17332, 0xe3cb4c7e,
+    0x058b146e, 0x0cd3ef93, 0x3301178d, 0x34a63cfd, 0xec0fa7c4, 0x3264b66f, 0x010a312b, 0x91034430,
+    0x18caf7a6, 0x7ccdf434, 0xa2a343f5, 0xf14201af, 0xfe311860, 0x0081ab2e, 0x53908fed, 0xd9e49f3b,
+    0x20c2f98e, 0xa06be177, 0x7fa25173, 0x3c4e24ee, 0xab3ea0e0, 0xd1f2a732, 0x2946bb46, 0x5e05ad58,
+    0x8ccbde0f, 0x3992143d, 0x787b3d3d, 0xe26dbb6b, 0x1457bad3, 0x09b529d0, 0xa76cca34, 0x352acade,
+    0xc6caa294, 0x80005a37, 0x94f0a07d, 0xe7c660e1, 0x5d1b7a89, 0xc422e1ad, 0x9fd2c0f1, 0xd9d3d9b0,
+    0x678931a8, 0xafde2916, 0x5e406537, 0x6b144914, 0x4387725a, 0x7cb8b00e, 0x15a8c6a0, 0xdea5f4a4,
+    0x6c9951c4, 0x144a3304, 0x952d9ad9, 0xa5d80075, 0x60823d1e, 0xe30ce2b8, 0x27adf283, 0xbf167fc1,
+    0xa1d0507f, 0x9b9a4f5e, 0xa20ad299, 0x6e9315c3, 0x3c94d86d, 0x18f53faf, 0xe311612a, 0x3af7fc68,
+    0xd9f1767b, 0x4b18f4ad, 0xb800ef14, 0xf4cfd923, 0xd1ea335c, 0x6eda98e4, 0xb4137d1b, 0xba4f6771,
+    0x8c571afd, 0x5afd1f1d, 0x659e0bab, 0x34fee1ef, 0x3fa9a343, 0x8e881b12, 0x15dcf4ad, 0xfa7a03c4,
+    0x656e737a, 0x76ec3a9d, 0x596aba32, 0x35bb1a17, 0x511fb625, 0xe4399b7a, 0x4734642c, 0x208e3c3b,
+    0x2129dfc8, 0xae3464ad, 0x0f9026be, 0xe3495f8d, 0x25a06e6b, 0xe9c9bcb8, 0x935fcec5, 0x4d3ffbaa,
+    0x25a44fcf, 0xc41e03a0, 0x72801078, 0x9c9b6dd9, 0x2bf7d381, 0x6be4c49a, 0xbd79dd9a, 0xd2ca81b9,
+    0x6d82e43a, 0xe97e9b1d, 0x78d0cf0a, 0x572e2661, 0x23370aae, 0xe18283ac, 0x32681ceb, 0x93a2e489,
+    0xe35ddd34, 0x96a331ac, 0x7ec236e4, 0xfb48b29f, 0x3a440ea1, 0x1efcd2fb, 0x959cc12c, 0x29525488,
+    0x172a43e7, 0x67af216c, 0x548d03d4, 0x6a058e7f, 0x7a50cc48, 0x0d33ca68, 0xff7200dd, 0x94cdd42b,
+    0xfe897621, 0x147276e4, 0x5688f554, 0x661b5c6a, 0x72e428d1, 0xd0871469, 0xbcbfc075, 0x1a387758,
+    0xf41a6d4e, 0x8ce061cf, 0xe73ebcc3, 0xbc78f790, 0x4e7a943b, 0x1c389f18, 0x86e1fab9, 0x9c7bcb6c,
+    0xfb6d1286, 0x58e490f6, 0x1ee2201b, 0x32dfadc0, 0x283964e5, 0xe7bfd30c, 0x921a6e8b, 0xeaced4a9,
+    0xc40702fa, 0xd2a22db6, 0xc48267da, 0x68ac47b2, 0x4196d822, 0x64739756, 0x377e6c09, 0xf6d19037,
+    0xebba0591, 0xfcf75180, 0xdcafdd12, 0x5e5b3ff4, 0x83422f68, 0x107897ed, 0x6451c806, 0x8203cc99,
+    0xd3e87844, 0xf528181e, 0xf75f747c, 0xd8ac76e9, 0x1d8aae8a, 0x12271af7, 0x187c37eb, 0x567f132e,
+    0xa4eb28c2, 0x41505545, 0x933d3232, 0xba9c1cc6, 0x877d21f7, 0x8d4586cb, 0x4ca5266e, 0xbb653d81,
+    0xd6f359fb, 0x9e31deb1, 0x17066959, 0xdd966a77, 0xe2afaf98, 0xf479ca48, 0x05242f65, 0xa2e58968,
+    0x82d2f396, 0x16ea79df, 0xb7faf8cc, 0xc1555da0, 0xb869c0d2, 0x2aa58c1a, 0x51df8b5f, 0x8281c2c8,
+    0xcc6a8629, 0x5cb6a1fe, 0xe5215dc6, 0x641fb59d, 0x93e7152a, 0x0412c239, 0x0ed15b03, 0x98148d09,
+    0xdababa32, 0x88cb9e16, 0x14f3580e, 0x38fcbd75, 0xf8b114a3, 0x67173e87, 0xbd9eef7d, 0x03ff7242,
+    0x81aa951b, 0x35ca2f8f, 0x4deb80fb, 0xc64cc425, 0x24f6778d, 0x477b7b5b, 0x4ea954b0, 0xa0306738,
+    0xa40fa0db, 0x2489f901, 0x38dd687f, 0xc31ca6a9, 0x26421b7a, 0x9dd7347c, 0x00ae0e0e, 0x862a6ae9,
+    0x5bc67159, 0xb1b088a1, 0x2b256eb9, 0x7bebf714, 0xb35c1955, 0xcbdee1c6, 0x977b1c4c, 0xe546a08f,
+    0xa532d10e, 0x1bf594f8, 0x16c69564, 0x8a38ec12, 0xddc9ece7, 0x4eb3aa54, 0x6164e467, 0xbde17255,
+    0x5befa711, 0xe4d59e2b, 0x78c0328b, 0x83fcd329, 0x15e353ad, 0x5a201ce1, 0x56ab39ff, 0x27e8f053,
+    0x911e2c3f, 0x5f009381, 0x0ae95984, 0x4269c026, 0x0f051794, 0x4afb7a4e, 0x0077fb7a, 0xe3523f85,
+    0x8c81afa1, 0xf74ef150, 0xeeb509a9, 0xeee0bf64, 0x55f4656f, 0x69682ca7, 0xbfcf0f3b, 0xbfaca644,
+    0x7e43b728, 0xb961271d, 0x07e54050, 0x1e5eb79f, 0x594d024f, 0xaede294e, 0x6721b889, 0x569e92c1,
+    0xb9bc3911, 0xe5a89002, 0xe9b257df, 0x1c03100e, 0x9c2a2f96, 0x5fab1a03, 0xd5e5756b, 0x7749fa8b,
+    0xfb63179c, 0xa035330e, 0xdc7be514, 0x1963f431, 0xca3c61df, 0x4f6a18fb, 0xf492771a, 0x25721869,
+    0x991f1561, 0xdae682d2, 0xa8d35b2f, 0x1c24a482, 0xd0873aab, 0x2a691f62, 0xf27827ef, 0xee78deba,
+    0xda0fed5d, 0xf191bb6d, 0x73d306bb, 0xea484311, 0xe747c307, 0xf19440ac, 0x1f9de652, 0x33ff1b6d,
+    0x64e40174, 0x193ff1b9, 0xa5bfefe6, 0x613271ee, 0x27ee480d, 0x1898aead, 0xc09f0c59, 0x5a9d62d1,
+    0xcfdbf6b5, 0xcf3870e7, 0x471ca7f3, 0x03ad79fe, 0x3afef90b, 0x006ccb13, 0x843b6e29, 0x1092182b,
+    0x5c0fed4d, 0x7e7254b7, 0xbf16600f, 0xd7864e68, 0x1fa3e17f, 0xf087e166, 0xe764e9c3, 0x57958235,
+    0x04810542, 0xf7215bf1, 0xbd28dec6, 0xc365a5c2, 0xb182cd8e, 0x9d1201f5, 0x89715bcc, 0x0fe84dec,
+    0x8e893a03, 0x6c85607b, 0xca051172, 0x4883e425, 0xa760a992, 0x60be8084, 0xf9fe1ec9, 0x2ea46450,
+    0x380e7c50, 0x0de7c1c6, 0x5566f166, 0xf8c5dea0, 0x8c69fdfc, 0xc59134d8, 0x3e6c4e7d, 0x573ddc4c,
+    0x5c78cae0, 0x0441e432, 0x4c13346c, 0xd077ca68, 0x9f40037b, 0xf9ef1cdf, 0xb5dca970, 0x7edd85de,
+    0x065c3a7b, 0x4fd1504a, 0x362a9c7b, 0xeebc28ce, 0xf42b14a0, 0x697f0c17, 0x28c2ec91, 0x2cabd789,
+    0x92b7497c, 0x45ded50a, 0x918ebb25, 0xeb5327b6, 0x237da59b, 0x6e5ddcdf, 0x19e72ca4, 0x2795ac7f,
+    0x65cd2783, 0x47fc374f, 0xc31f3602, 0x99f7b714, 0x6667d5a9, 0xa9424e11, 0x244d5fba, 0x6385a4d0,
+    0x161dd0eb, 0x8c236ff7, 0xc2b2ac29, 0xea554ce7, 0x344c1ada, 0x28dd4751, 0xa232894d, 0x669d502e,
+    0xe10aa311, 0x6444ea36, 0x1d7ab645, 0xd774e84c, 0x2e060c3e, 0x62a2d0c5, 0xd9c5b773, 0x99826da4,
+    0x26be548f, 0x88a6ca07, 0x6a78138c, 0xe76fadf4, 0x8f3dd6f5, 0x0d733833, 0xccbb8daf, 0x7dce9942,
+    0x61943e70, 0x416f063c, 0xfd17730c, 0xfc31fa84, 0x8d1c81c6, 0x379ae83b, 0xadee8734, 0x8dd7bd51,
+    0xdbe75502, 0xc1108841, 0x6aeda08d, 0x5d435b24, 0x04756ece, 0xd2713c32, 0xe5e0ca89, 0x4917bede,
+    0x57a76d31, 0x22b036b7, 0xd66a144b, 0x99dca7a2, 0xcfeb944e, 0xd9c600ec, 0xcb9f3fc3, 0x9e8cae7b,
+    0xece4b0f8, 0xa1276daf, 0xcabfbb28, 0x3f51283a, 0x76043c65, 0x85374692, 0x3db41f52, 0x768ef7a8,
+    0x579b05cb, 0x6c380d4f, 0xa2adb8bf, 0xdaa3e14d, 0xbfeb512c, 0x6c452767, 0x9aeedab1, 0x039ed9a5,
+    0x1592eddd, 0x433c4eae, 0x902e61ac, 0x4aa56e61, 0xc23a1c2b, 0xa31fa4d4, 0x038fed8b, 0xfb8b0862,
+    0xd326b297, 0xdf866de6, 0xe3750b75, 0x13517e76, 0x2b14a05b, 0xc9454942, 0x00bf1e4c, 0x2d180c49,
+    0xac1f7dba, 0xc9fe1490, 0xa9880eb2, 0xfc716584, 0x8a4ecd72, 0x57fcac5a, 0xb2cc2d56, 0x49174482,
+    0x1db9c73c, 0xd089ed5c, 0x340766a5, 0x562a83d8, 0xa141a3cf, 0x68024d49, 0xa99d52d1, 0x67a1cc4c,
+    0x3e0dca80, 0x46e5ce02, 0x76217544, 0x3a737cf6, 0x7c36365e, 0x030c53b4, 0xad170b0b, 0x5526b57b,
+    0xc59daed0, 0xfc308e70, 0xa7506cad, 0xa31c52e7, 0xdc911d28, 0xabcb18aa, 0xb2020678, 0x72e19995,
+    0xbf66b610, 0x19147009, 0x92bbd93a, 0x7d18a26c, 0x26e7968d, 0x8ac9012e, 0x41e4c451, 0x463eafaf,
+    0x977ac6bc, 0xfe0478d6, 0xad0a2c1e, 0x99956aa3, 0x2e01fbce, 0xcdb72745, 0x5d5693a4, 0x994f3d65,
+    0x5c871ede, 0x5c857748, 0x740327cc, 0x6a31ac4d, 0x9dd6bce3, 0x4b68d5b3, 0xb1163384, 0x87b805a1,
+    0x2eab1ed3, 0x516f7387, 0xc8155b36, 0x965d75c6, 0x18dafd37, 0x412e0b0e, 0x38f8f99f, 0xb2a98deb,
+    0xb33589ac, 0x33dbab47, 0xc8110f60, 0x3715af97, 0x16b4f1d6, 0xa8a87ccb, 0x122a7309, 0x05ff90a7,
+    0xefc00f36, 0x7d07ad57, 0x771a2b5f, 0x2b66b704, 0x1fe4317a, 0x6a11036b, 0x3f893339, 0x6d3e797c,
+    0x0ac86591, 0x72aeb45d, 0x126775b8, 0x6d18af88, 0x6d66e9ba, 0x1b6fac4d, 0x81c3df46, 0xff2cf28f,
+    0xa74bebc4, 0x1a2ae2ef, 0x7292a690, 0xd5b42423, 0x651b0130, 0xa462adb9, 0x4015d3f6, 0xa4f755dd,
+    0x41974e88, 0x9cc383c6, 0x67a2020f, 0xf816a3bd, 0xe08bed9c, 0x8a143ee2, 0xb2de189a, 0x28474e57,
+    0xe0ff9c8a, 0x28b7958e, 0x3f806fc9, 0x765e491d, 0xd32b0a21, 0x8fe036e9, 0xa1b80084, 0x6ecdcbe7,
+    0x0ee44ab3, 0x1dea2ef8, 0xd92e1d29, 0x77a42404, 0xb92ad00f, 0xc79c44d3, 0x8b89b181, 0x426aa299,
+    0x43cb73b4, 0x0ce39339, 0x6c571851, 0xf5132782, 0x41f14c93, 0x9d940d13, 0x5bf622c0, 0x8ade6db5,
+    0xe58d3585, 0x79b33f54, 0x6ff4427b, 0xbf014262, 0x64188fef, 0xbf674d0c, 0x2acb9552, 0x1a3c747f,
+    0x40411eb5, 0x13dbef77, 0x89ad557a, 0xca617fef, 0x5c89a1c5, 0xddf18e03, 0xb57241af, 0x217e5adb,
+    0xee2d2f97, 0x6a36bb67, 0x9e020ede, 0xeb2dcb9c, 0xc0417969, 0x0b5150b8, 0xe8a42de3, 0x98c10f9c,
+    0x4609a6aa, 0x7e2a2001, 0x999184a5, 0x6639f7e4, 0xa472e119, 0x48267650, 0x56599c35, 0x38a213c9,
+    0xcc4c3d41, 0xd74dbf38, 0x632ee99c, 0x1d66b0d4, 0x33185704, 0x9f14a27a, 0x29d279c3, 0xd75b41f1,
+    0x9de588f1, 0x24d2754f, 0xf78bfcdd, 0x04eeeb94, 0x0e9e2d21, 0xb5fdc5a3, 0xdd1dbd52, 0x0865d36e,
+    0x4f4c48b0, 0xf9d8e08f, 0x33f7e540, 0x7bd93c94, 0x7b08fb10, 0x9efbc3ec, 0xb4493eb8, 0x815f833e,
+    0xc0235b73, 0x80838d2a, 0xd990068f, 0x717d6a9b, 0x9296fde8, 0x9dd3e395, 0x825ec947, 0x8e1a41d4,
+    0xb653208d, 0xffb72498, 0x85c95c7f, 0x59bce304, 0xcb2c7b8a, 0xab701eb2, 0xeb1669cd, 0x24867136,
+    0x5b9c8a11, 0xd05b0d98, 0x7a609034, 0x9b77c542, 0x32e1e481, 0x2f722264, 0xe82f4d66, 0x2caf3e13,
+    0xf51393c2, 0x23d4882c, 0xd2a863b8, 0xbbf68a3c, 0x0bd0d2f2, 0x76c9b9c4, 0xb0b827ab, 0x68e42c22,
+    0xa1bea11c, 0x1e699208, 0x1bcff321, 0xcb7ee5d7, 0x1f573b51, 0x339c4b74, 0x4684c20c, 0x9aa2f38a,
+    0x06c5a6f1, 0xf30a32e6, 0xe9b617b3, 0x0122cce3, 0xac148a83, 0x92049faf, 0x2f2143a0, 0x41b8cabf,
+    0x35ca2b84, 0x40723396, 0x4cc41016, 0xc643cb3f, 0x2ad9087a, 0x24361523, 0x8614eb60, 0x51951e40,
+    0xcd8c7340, 0xe4a4ba21, 0xc217debe, 0x82b552be, 0x260a73ee, 0x2ebefde7, 0x6250f89a, 0xe15c7456,
+    0xf22d631b, 0x33397647, 0xb0de1ae2, 0x9b403bdb, 0xdbd1c8db, 0xf6117474, 0xe57be6d8, 0x475209d6,
+    0x1547481d, 0xf09c6aeb, 0xdb5b8057, 0xf3de7b7b, 0x6e65d1ad, 0x0966900f, 0xf9795261, 0x9bf63bd5,
+    0xb27fd7c2, 0x455430ee, 0x3796b0cc, 0x3924418b, 0x2d3cf447, 0xbd35f02f, 0xd2428b21, 0x5317037e,
+    0xb35343e5, 0xa6d1457c, 0x3d6405cd, 0x64735998, 0xb587cb29, 0x3ea02c6a, 0x9f446f57, 0xc8b2745b,
+    0xda21fbe8, 0xadb51209, 0x57f3b039, 0x5fe06074, 0x3c51ddf7, 0xf01205c5, 0xde4d4214, 0xd1ab118a,
+    0x9062fc8e, 0xb30f096b, 0x9602252a, 0x20b64203, 0x135cdbb2, 0x0a8d2e36, 0x40aa9645, 0x8ce3e1d2,
+    0x00000000,
+    0xe853d793, 0x82a938a5, 0xc18b83b6, 0xe042c455, 0xf4c5f335, 0xa6fefa30, 0xa562dc92, 0x54039098,
+    0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000012911249390434542948279595860015059371648528\
+                          96414611756415329678270323811008420597314822676640068915717951585986373746688 */
+  { 0x00000000,
+    0xe1f4f1cb, 0x42970c5e, 0x285854f2, 0x5f8b3986, 0xdfd50c1c, 0xf5b6e1ee, 0xe97329a1, 0x9fd15c04,
+    0xa3fe7489, 0x890d6f14, 0xcf7a4c91, 0x0e7bba97, 0x8acab283, 0xaac01476, 0x1743844e, 0x6ebf7d9d,
+    0xa48381c9, 0x5f63b6b2, 0xaeaa99a2, 0x9097136e, 0xf413d4d0, 0xc3e212cc, 0x8c261fee, 0xf8710097,
+    0x848d0219, 0xfb8b79d4, 0x3a64ecd9, 0xdce876b6, 0xd36b3ba0, 0xa47bff06, 0x76d2851e, 0x7c065de9,
+    0xb471f759, 0x13269e70, 0xc4bcd7b6, 0x7ea7246a, 0x34b5d460, 0x4a2171bb, 0x10917ca9, 0x16bfe720,
+    0x1b4801b8, 0x8ce81984, 0x3386c446, 0x30a63d03, 0x26fb6eba, 0x97762f89, 0x8792ef18, 0x6912ae4d,
+    0xc3974dff, 0x4c450eb6, 0xf7fc79b8, 0x6485a4e5, 0xe8f4a1a6, 0x68657286, 0x429896cd, 0x564d7eb7,
+    0x044e32a7, 0x64911f6b, 0x161c79df, 0x6e5c59f2, 0x52a7eed5, 0x31dda0f8, 0xeeb0cbdb, 0xd3b8a742,
+    0xea854e5f, 0xe3884a51, 0x87b9a2ad, 0x64a0580f, 0x1709a363, 0x6afcada1, 0x717f4a7b, 0x925e69fd,
+    0x1df42cf9, 0x3764634c, 0x66632d9e, 0xe1b371bd, 0x263a8674, 0x1ca634cb, 0x6c383c64, 0xe2e06475,
+    0xae2dbc5f, 0xcc891718, 0x42bd1fc8, 0xdc62effd, 0xcfe9fe87, 0x15c08e14, 0xfb041cad, 0xb85f2fbf,
+    0x009aba78, 0xea7288f6, 0x4fb33237, 0xd38e5bad, 0x948fab90, 0xa143dfed, 0xb18833f0, 0xef45fd15,
+    0xd9183bfe, 0x51039551, 0x6870c41a, 0x63da0a96, 0x9b8efdb9, 0xcfe697fb, 0xb3ea3575, 0xde6b8a0f,
+    0x7262d303, 0x86d135cf, 0x1df4c127, 0xc905a955, 0x23840714, 0x8b8dab90, 0x680e7049, 0xe2b99157,
+    0x41b00d89, 0x0d305d86, 0x0580678b, 0xeea92662, 0x84e22bf7, 0xfa87a380, 0x6c89a1c4, 0x62ac6757,
+    0xca3b75bd, 0x0efbff39, 0x2f9166d4, 0xf361c75d, 0x3920802c, 0x7267c0cf, 0xf4509bf4, 0x6d2d0e2f,
+    0x0f42b804, 0xfe4c5dbd, 0xd79f241a, 0x837be263, 0x03ea8302, 0x0d356141, 0xd8143a5d, 0x75ae5bd9,
+    0x6d1bea52, 0xa6558d10, 0x031aa4fd, 0x3af5dcc4, 0x54f264a0, 0x4c518818, 0x7f21b45d, 0xa6d9cff5,
+    0xcd720b7c, 0x95343d94, 0x9bac667b, 0xe4c0d169, 0x75d646b1, 0xfe5bd2f2, 0xca62b828, 0xbe4c48e6,
+    0xc00dd371, 0x029f49f6, 0x1f8c8b86, 0xa0e1e159, 0x95c1e22d, 0x8fde744b, 0x48f09acc, 0xa58f6832,
+    0xf93e5c31, 0x638747ed, 0xaba8c779, 0x00d6b441, 0xd34f9db6, 0xe9ad3e6e, 0xe5ff9b6b, 0x002d433b,
+    0xe341ac85, 0x5c4afae5, 0x3f264b49, 0x469d379a, 0x37111645, 0xb377813f, 0xee861a3d, 0x35c06235,
+    0xa371f213, 0xf6eb4643, 0xc6151b3e, 0xf0f70afc, 0x1d07f674, 0x84bf05f6, 0x9b70040b, 0xb786cf07,
+    0xa3e6a9bb, 0xe03a0ceb, 0x7f225cf9, 0x89f4ba11, 0x506d26f0, 0x7961637d, 0xe661b578, 0x8bc87dcd,
+    0x00e88eb5, 0x7efb318e, 0x76b24a73, 0xe95ca352, 0xdc031adf, 0xd1e4c13e, 0xe52ebeb8, 0x95fe669a,
+    0xd8fc8f40, 0x37cb4d5c, 0x53d76b8f, 0x18802def, 0x8548d326, 0xe8b9578d, 0x22d3ea37, 0x9efd55de,
+    0x568599a8, 0x7207b160, 0x759edce4, 0x58b0f678, 0xa4424013, 0xb4fae024, 0xeefa3241, 0x6498fdc9,
+    0xc012df33, 0x89cc057a, 0x0f1f2e37, 0xb6198efe, 0xb692a4bc, 0x064b0168, 0x7ad04878, 0x876ed4bc,
+    0x1caa0ef5, 0xabedcc06, 0xaf88558f, 0x3912b65c, 0xaf873f35, 0x9c4733d0, 0xbf1216bc, 0xbbb455d9,
+    0xfd0efc54, 0x2e49edab, 0x03170c61, 0x566dff77, 0x0ebbf1b9, 0xcf5d9dab, 0xb7b544a4, 0x6a108ce3,
+    0xa6dfdd9a, 0x44c5b910, 0xd1f555cd, 0x165d4a5d, 0x3f9f51bb, 0x00421476, 0xf47d38c8, 0xfe0ca7f2,
+    0x1b6bb135, 0x2c3d76f7, 0x5862fe9d, 0x47840f22, 0x41373698, 0xefe424cd, 0xae140cf3, 0xc6291ac6,
+    0xde825793, 0x3c5cd757, 0xcc3c9824, 0x6dd03471, 0x8a43cc43, 0x1ac90a39, 0xca21ff60, 0xe52d8e9d,
+    0x64a5c45f, 0xcd9a841f, 0x9ec382cf, 0xa2febb77, 0x591805d7, 0x248987d9, 0x78cc4ede, 0xc570b1d0,
+    0xca8ce30e, 0x537951da, 0x31bfe95e, 0xba754984, 0x5d359cf7, 0x82e37222, 0x19615d82, 0xf724d555,
+    0x39c9b7f7, 0x6af859eb, 0xa2f9f3aa, 0xd7068769, 0x972f8b3c, 0x50f16266, 0xadfba04d, 0x9149a201,
+    0x0b217b1c, 0x722443c0, 0xa5827ee7, 0xd4816ae3, 0x44f9a188, 0x1e6baca2, 0xece3fcd2, 0x95fafc59,
+    0x1097896b, 0x0a291f13, 0x8e36e41a, 0xa54133eb, 0x5a3aa643, 0x7699bf46, 0xec3e7a21, 0xb7dee740,
+    0xab433c6a, 0xba75e7ba, 0x97d9b045, 0x34140302, 0x7d363f10, 0x5027a5ad, 0x9b227074, 0x08c7750b,
+    0xc6e59e07, 0xda25e5d3, 0xac021eb5, 0xa79491ff, 0x96056ce3, 0x6460ca51, 0xf8a61789, 0x44ae771d,
+    0xcbc66434, 0xcd58e345, 0x85cf1f90, 0x8727cc98, 0x6c713cac, 0x2e43b4c2, 0x828ca489, 0x8d787f1c,
+    0x418d7760, 0x733154d3, 0xb12a8bb9, 0xdb7c6d4b, 0x1f06888f, 0x1ec36332, 0x1f60ae7f, 0xfa54e8e3,
+    0x8356018f, 0xc3cbc9c1, 0x4c6c0151, 0x8c885738, 0xb619f830, 0x2cfb2a5f, 0xb6513006, 0x6a790ee1,
+    0xd5506e98, 0x210a8913, 0xdb555ae1, 0xe946637b, 0xd38d6c64, 0x724fae0a, 0x148c2d61, 0x860f3a83,
+    0xd29526b0, 0xe127451a, 0x453a6f8a, 0x365078f8, 0x1865e999, 0x8ea27bd6, 0x04aff8c7, 0x8758c8c2,
+    0x1f309cdc, 0x14e0aef9, 0xd73e186d, 0xdb608d76, 0x66256aab, 0x42ead0a3, 0x3ee30ee7, 0xf231d509,
+    0x2c34b711, 0x6d67fed0, 0x27bcb0c7, 0x422eedf8, 0x3dc1fd7f, 0x9a214e28, 0x92aa037b, 0xf1ab9079,
+    0x14449a3d, 0x0748297d, 0xd170bf15, 0x17a676bb, 0xd4ca0c64, 0x70e32120, 0x2a89bde6, 0x4ce902d6,
+    0xfb72d29e, 0x3f0017d2, 0xaad350c2, 0xee6e3e7e, 0x93373eee, 0xd01188d0, 0x96e5feab, 0x280894ed,
+    0x02093dbc, 0xe4e8c48d, 0x81327c5d, 0x64290342, 0xa19e2517, 0x7917a2fe, 0x0f7617c5, 0x1f0e301e,
+    0xa0730371, 0x2b19ad39, 0x1bb24423, 0xeba61d26, 0xce7e6f4d, 0x859427b7, 0xd68e0aba, 0x4dec30f4,
+    0xb1f05cd7, 0x40e50d73, 0x060b4162, 0x4afd48a5, 0x35f1e6d8, 0x31d8c67c, 0x424731e4, 0xf15e9e96,
+    0xa0cc8bc3, 0xca03c260, 0xc8f30f67, 0x97451b71, 0xef892f95, 0x2a7d8a82, 0x24a8e7e4, 0x65bce354,
+    0x8eaf6bbe, 0x07c6158d, 0x082f863b, 0x9eb7bf55, 0xea08ad31, 0x4e5f6798, 0x620349e3, 0x0cb701d0,
+    0xffbd2037, 0xafa7b52b, 0x5badf18f, 0xb207d5df, 0xd77d6764, 0x53911936, 0xcfbfde2e, 0xb3876c97,
+    0x90e4bb1a, 0x76fee208, 0x0a940b6b, 0x4c8eccb2, 0xacf36575, 0x0513b774, 0x2b8988f8, 0x9d9df6a5,
+    0x14e327c0, 0x49897fcf, 0x7b39e508, 0x1cbaf14f, 0xad3e3bcd, 0x28b4358e, 0x0503f353, 0xf740131a,
+    0x83934261, 0x4b0baf40, 0x931edfb2, 0x56fff7e2, 0xeafc9d48, 0xddb8e5f6, 0x7d105bda, 0xae2c4851,
+    0xe1fe480f, 0x145ec596, 0x018644f1, 0xbb001dd4, 0x9d21ed39, 0xbdd5ea0b, 0xe24aebb9, 0x5957c776,
+    0x136767a6, 0xbef1f048, 0xcbc1096a, 0xed1ddca9, 0x83f6f877, 0x109607d9, 0x66f91dcd, 0x75624ee4,
+    0x8e5cbf07, 0x2c59795f, 0xb30f83ca, 0xc9795235, 0xe0f3aa92, 0x4f13f90a, 0xe99cbf8d, 0xa90b2713,
+    0x243b5533, 0x11c27309, 0x44688d69, 0x65b2cbf9, 0x94c95fd2, 0x63349653, 0x5f111956, 0xc5eaea68,
+    0xebfb8912, 0x2ac84dbc, 0x668a92a8, 0xe09f4a6e, 0x7770889a, 0xe3963b5e, 0xa84872e0, 0xa81f63d2,
+    0xebdd9586, 0xade4fcac, 0xcd11f2e9, 0x6713c0a4, 0x8f79b533, 0xcd833b4b, 0x77d1e728, 0x5fd663e7,
+    0x80c544ef, 0xa677f599, 0x471ea82d, 0x8d087390, 0x87d4eb96, 0xa4be1f48, 0x8a7e29f7, 0x64099c9d,
+    0xedd7e590, 0x94d87bbb, 0x2b92ea0d, 0x6655e2b7, 0x9698307d, 0x332d5d89, 0x8602a6bf, 0x75bde0c9,
+    0xacb27bc5, 0x39fe5afc, 0x244afc8a, 0xb2504f3a, 0x5ecece35, 0x783c3834, 0x4b4adc8b, 0x43e9c6d9,
+    0xe60721df, 0xc9839414, 0x9fda9a6a, 0xfa998466, 0x609bcb22, 0x11bed5dc, 0xd82b6ae4, 0xaf714bc8,
+    0xd75e9942, 0xaa1b4f72, 0xae6b8178, 0xf98f7a88, 0xad4fe33f, 0x3e10e0e7, 0xd43a8e14, 0x5a2c4bbf,
+    0x84bd2a4f, 0x60387a69, 0xd93da264, 0x7a452663, 0xe76e6a95, 0xd5dfbb29, 0x635dc7a2, 0xe2d64248,
+    0x20316dc5, 0x4f1b1fb4, 0x3f7e827f, 0xfeb8b96f, 0x349a51c2, 0xab3922f0, 0x77b7c5d0, 0xa6415e80,
+    0x7e78b6ed, 0xc0d434ee, 0x6624c1cf, 0x2c46170f, 0xb98c7ae4, 0xe2768b21, 0x22f4cfcd, 0x3fc39b58,
+    0xfe5a7977, 0x219a1d28, 0x73aea18b, 0x5e2400b0, 0x7ffe3b85, 0xef10e8ba, 0xe213fd2e, 0x9ef64726,
+    0x824bd869, 0xd8ec1282, 0x61690b27, 0x6c37f8bd, 0x2e1500c5, 0x466ab4c2, 0x703fdbb8, 0xaa866e8a,
+    0xbd8a4427, 0xc4b82449, 0x2672ff31, 0x4087277b, 0x53ebb5a6, 0x2d9f93cf, 0x067039ae, 0x22836253,
+    0xa201d7f7, 0x9f8f9256, 0x9d7fb1a1, 0x0823d717, 0x87ed7ed6, 0xa6f7c1af, 0x7fa6dc0d, 0x3be19474,
+    0xc53da9ea, 0x84900025, 0x0d4a9598, 0x41dfddb7, 0xd03d2c4c, 0x01572c3c, 0x16ed5263, 0x14c0cca9,
+    0x172d1655, 0xcfba34da, 0xe2bd78dd, 0xfccf088b, 0xc5f42844, 0x745cfb53, 0x78101f9b, 0xc6ca1ad9,
+    0xf026a139, 0x04a001cb, 0x88387944, 0x77b25255, 0x5179c50f, 0x3402be68, 0x212b7fc7, 0x0812f3a3,
+    0x4f378054, 0x64013bda, 0xcde32992, 0xac8eff96, 0x63eaf601, 0x6306419d, 0x809e2ec6, 0x8c3cf659,
+    0x40e2716e, 0x956166c5, 0x6d5ba34f, 0x6cd8d9cb, 0x39fef379, 0xc70cefc0, 0xad1623bf, 0x8adc0c7f,
+    0x4bf5005a, 0x4fe070f4, 0xaf917d8a, 0x19836c54, 0x5f16a27c, 0x59f5c33d, 0xd24640d8, 0xec87d438,
+    0x3bb4da61, 0xdc302437, 0xabbb57bd, 0x33e0b636, 0x2770d00a, 0x5e2341f1, 0x444e2f66, 0xd897f17e,
+    0x6070a9d0, 0x77925ff4, 0x0a720855, 0xf3d5f124, 0xac960e7a, 0x05aeb68a, 0x997952ca, 0x1465a333,
+    0xbf42a30d, 0xf3071667, 0xb0e150cd, 0x79ab86b6, 0x0ee5a365, 0x92687b1d, 0xc523c86a, 0x1a987bd0,
+    0xd94df27c, 0x4bf18689, 0xdbf9af1f, 0xdcbfd9e8, 0x96178fab, 0x59eea8ea, 0x635efc8a, 0x684e1b7e,
+    0x4d940c7a, 0x2a405a05, 0x5a316066, 0x79a25753, 0xd36338be, 0x17f208c1, 0xa45d0058, 0xdf23f0f4,
+    0x6a9c6eff, 0x3b3d2c45, 0x1161b8db, 0x7570bf46, 0xfac6101a, 0x79d1aadf, 0xc6678f2c, 0x3a211b13,
+    0xf72b2079, 0xf5d7cd58, 0x6c232dd8, 0xdcd46d8a, 0x0ade3dd2, 0xfa6ef207, 0x0d8e9ed5, 0x9cf3cdf2,
+    0x5882719c, 0x209b048f, 0xe1a2a82c, 0x7ca8c8cb, 0x1fe0c269, 0x17335b53, 0xdb8a5c40, 0x2a2dc61c,
+    0x1fe91289, 0x927983ee, 0x11cd788f, 0x4ebaf30e, 0xd9d2f766, 0xfe1075cf, 0x4a955feb, 0xb0e4cc8f,
+    0x0731522e, 0xc3b162ab, 0x1ca95cba, 0x3bf9cb69, 0xad261f27, 0x372f7716, 0x9518757b, 0x097c66d0,
+    0xcf623019, 0xcfaf3586, 0x829caf7b, 0x68605158, 0xc86127b3, 0x44c67eb1, 0x5f3f0497, 0xe680da4f,
+    0x3cc49896, 0x3cf70527, 0x96a3d00b, 0xd19db17e, 0x86770558, 0x6cbaa570, 0x4b2ba441, 0x9be8c137,
+    0x850c5007, 0x0ed829b0, 0xcdf63442, 0x94d5f3f1, 0x6a526da4, 0xab5f6464, 0xe5508d8d, 0xb283ed05,
+    0x7d63cc92, 0x15fdb928, 0x7a1bc256, 0x522a41b4, 0x96c5f5f2, 0x17f56a85, 0x6aada386, 0x0d0dd32a,
+    0x89cd2734, 0x350a74ef, 0x126f5120, 0x6f1c95f8, 0xb46113fc, 0x4995fac3, 0x38ae2556, 0xf50428fc,
+    0xed978269, 0x21526f04, 0x09bea669, 0xf2f99947, 0x5bcd1ea6, 0xfc9f1b4d, 0xe9db468d, 0x32a2f0b0,
+    0x9ec95f69, 0xdf6ffdb6, 0x5c4b261d, 0x60c07899, 0x432670c3, 0x420f3dc3, 0x2574f3a5, 0x90b603cb,
+    0x1762ff5a, 0xb01e39d9, 0x95a9c651, 0x7789d0db, 0x458b1ed3, 0x2aca7163, 0xfe3beaa6, 0xaf78aa1a,
+    0x7c54fba6, 0x72032446, 0x6affbe46, 0x1a3d8935, 0x0a1ae74b, 0x32d5c764, 0x62b323f2, 0x48bcb585,
+    0xeb337e47, 0x4e9f05ba, 0xc3938010, 0x9c6f9e9d, 0xf9b24bbd, 0x95074992, 0x94818d18, 0x567b29e5,
+    0x967f6fc1, 0x1266651b, 0x27844a68, 0xd3a47277, 0x03c23118, 0xcf37be5c, 0x2dbc8d24, 0x3317cee8,
+    0xf711d67c, 0x99156a4c, 0xa7878cde, 0xb2ab1c90, 0x3673c82f, 0x66fa2b16, 0x79d79f0c, 0xd8bb2de0,
+    0x800f0188, 0x8cf96d79, 0x419bc5c3, 0xf7b749e2, 0xd6990d6b, 0xb6cb7ba3, 0x96d4152d, 0xdbc6bdaf,
+    0x3b8a454d, 0xca5b8ca5, 0x31a28aa1, 0xd987d5e6, 0x092e2d48, 0x835bda21, 0x907cd358, 0xe37fc3af,
+    0xda278faa, 0x14d15d81, 0xa8b28d75, 0x4162c22c, 0xf9dc418b, 0x4a56396d, 0xa47ab065, 0xd81a47e4,
+    0xdfe7cefb, 0x69af31bb, 0x63ea2799, 0x4e94428e, 0x6c21c560, 0x5be8efad, 0x7a6f6a0c, 0x9c1cf79b,
+    0x5c0ab707, 0xe73149b3, 0x6a09cfe7, 0x09a91098, 0xe8da7b85, 0x79dd2f82, 0x22c210a7, 0x80ac3b8f,
+    0xfbf30868, 0x814b5a71, 0x6b82fd40, 0x74864aad, 0x0bd8eb1f, 0x94e63737, 0x09e1db49, 0x27cc7233,
+    0x7367b5bc, 0xc7001b9e, 0x9c83b571, 0x6963d560, 0xf01f9b02, 0xe6ed9cc7, 0x45efce41, 0x3d788bb9,
+    0xab362781, 0x5746e67f, 0xff893988, 0xf153fa1a, 0x1aa1c62c, 0x94af4659, 0x6c3c34ba, 0x9b73810f,
+    0x62ae5a4d, 0x927e8b64, 0x82c9f701, 0x7151799a, 0x61066c19, 0x1e107307, 0xfa6f60cc, 0x9d808ead,
+    0xe55748c4, 0x59d6839e, 0x9dd612a6, 0x2e8012d2, 0x5bfd083e, 0x38551624, 0xd786119a, 0xe3353402,
+    0x2409b73a, 0x869f18a0, 0xa06651a1, 0x38d89657, 0x422f039f, 0x794a4430, 0x329cd328, 0xfcb8484b,
+    0xd6b5b060, 0xa91888d4, 0x600c55fe, 0xf3b60b8e, 0xba43f045, 0x3a007715, 0x2baff150, 0x0fc9a3ff,
+    0x03a42713, 0x343eb392, 0x7bc790a7, 0xa15b3221, 0x3631997a, 0xbb1ff4d4, 0x644d668c, 0x66df12f5,
+    0xe4562cf7, 0x5bbfd244, 0xa77d87ba, 0x69af3457, 0x7982513a, 0xbc921236, 0x9f873eec, 0x3e50414c,
+    0x65515fcb, 0x6eaf550c, 0x83f7d96b, 0x26a951c7, 0x505fc47a, 0x4b4bd05b, 0x5a070211, 0xeb59bb69,
+    0x1e2075e5, 0x1577ea22, 0xf353d991, 0xe976bc57, 0xaa070a6b, 0x0c6bdfca, 0x26589fe9, 0x47cf2bee,
+    0x35076284, 0x0f9c1667, 0xe820b816, 0xa6780d59, 0xa0c10431, 0xb7f8a57f, 0x6a5b02b7, 0x4758de40,
+    0xf4fed3dd, 0x063c64a6, 0xd236eed8, 0x16212676, 0x6c1cc44b, 0x66867a43, 0x03804031, 0xdaf6e496,
+    0x6be95dee, 0xe8e86d71, 0xbb698733, 0xd3832346, 0xf6c2ed7e, 0x152a7528, 0x5bd29f73, 0x8a1b2187,
+    0xef7ee2a5, 0x31321d3f, 0xb9770345, 0x954d5ea5, 0x6a2f31c2, 0x17657b5e, 0x4627d0ca, 0xaa7139c3,
+    0xea74e972, 0xc2ae4a1c, 0x7ee4f305, 0xca76e40b, 0x4454d738, 0x0734c00b, 0x4dbd61e0, 0xce2c1316,
+    0xf266d54f, 0xe3a7330f, 0x76b8ba38, 0x4cd846bc, 0xd07b20fe, 0xe2dd262a, 0xd7f6b0d5, 0x864a5edb,
+    0x00000000,
+    0xf429ebc9, 0x41549c52, 0xe0c5c1db, 0xf021622a, 0x7a62f99a, 0x537f7d18, 0x52b16e49, 0xaa01c84c,
+    0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000006455624695217271474139797930007529685824264\
+                          48207305878207664839135161905504210298657411338320034457858975792993186873344 */
+  { 0x00000000,
+    0x4e8adbd9, 0x38d066cb, 0x6bd2f703, 0x696e50fa, 0xfdf416eb, 0xfd9f8054, 0xf5daa295, 0xfd717176,
+    0x3368b868, 0xc93622d7, 0x51948512, 0xa0c8eaa3, 0x1c951d5f, 0x144dcaec, 0x9beecb0c, 0x95f47a89,
+    0x03ca44be, 0x383a49f4, 0xf6ab4e9d, 0x9f5e6ba7, 0x34cb88e7, 0xc53c9ee8, 0x7928cf15, 0xebd319d3,
+    0xb44c4464, 0x61440488, 0xe2e5caeb, 0xd479325d, 0x0a53690f, 0x5944b84a, 0xdd9dbd07, 0x453788fd,
+    0x7fc7f5c3, 0x61a6bc37, 0x85f4d517, 0xcbd6b84d, 0xd79338cb, 0x16a13dd4, 0xfc8c545a, 0x8294bdb8,
+    0xe505805a, 0x668d8c4d, 0xde8dcd7e, 0xd756b35a, 0x3cd7555b, 0xed835316, 0x043d6d94, 0x43ee983e,
+    0x8e4e6b8f, 0x30511d0a, 0xe7f2166a, 0x02a61776, 0x21b422e7, 0xd972ba5c, 0x2cb971fd, 0x5cddba1c,
+    0xf4901c8a, 0x913a0380, 0x807639f6, 0xb9c7c8e4, 0x8d594eec, 0xfca09ca8, 0x7f4b62c3, 0x39291fd5,
+    0xb2aa28af, 0xf121fdea, 0x7dddffd5, 0x18bb5489, 0xd550cef7, 0x4edb3c80, 0x77009da8, 0x64043c29,
+    0x5d51f0fe, 0xffebedf6, 0x0c06f458, 0x8413f588, 0x03864cbe, 0xfcd27c4c, 0x3f50baa7, 0x659e31dd,
+    0x5fc89440, 0x75f48c5a, 0x3d52ee4c, 0xc8825b39, 0xd7f34af9, 0x5d9feae9, 0x75fcc7fe, 0x4f53f942,
+    0x79e9886d, 0xa0a6545e, 0x17791246, 0xc83b1f0d, 0x3888e9b1, 0x7357a808, 0xdac95de0, 0xcbc73fed,
+    0x82bebfce, 0x89b86122, 0xc9ccc7d9, 0xaca9329e, 0x777eb75d, 0x875ca8c5, 0xdd2a1143, 0x4bbd544b,
+    0x9b18a96a, 0x9c0b714f, 0xe7699ecb, 0xecfaa14b, 0x45d76b67, 0x9e74683e, 0xc4b4d14a, 0x8d301eda,
+    0x20373685, 0x28e6ad6b, 0xd86f3c1f, 0xa865daef, 0xdf874985, 0xaa4f6ad0, 0xff831f9a, 0xf3eccb75,
+    0x37da2df0, 0xf101373c, 0x6cacb824, 0xe46e6103, 0x419ea470, 0xa651a955, 0xa31d8dd9, 0x079ef1f9,
+    0xb68d81c0, 0xdad641f2, 0x6f1a03ad, 0x4c5b1bfe, 0x6bc7a267, 0x844c836d, 0x184fedce, 0x8b221d38,
+    0x09996822, 0xad8e3118, 0xbd29c56c, 0x94638a98, 0x93534c27, 0x2839cbd5, 0x514a2451, 0x6ecd2c4d,
+    0x21964535, 0x2cf3e72d, 0x66576714, 0xef6c2b5e, 0xac1c817b, 0x6edb8058, 0x10ac5576, 0x7fdd6de2,
+    0x6c3acb7f, 0x9d2ce076, 0x823946f7, 0x2ceb857a, 0x8fca8d01, 0x733fe090, 0x847d7f0c, 0x65fb0689,
+    0x5caa52ca, 0x0a47e995, 0x54003372, 0x0ff3cf68, 0xe3deb05d, 0xa592c240, 0x1eff6321, 0x4d6991c4,
+    0x4c4c3f19, 0xeb9cce2a, 0x48df53aa, 0x40d36bc3, 0xd890a3a2, 0x5ef5590d, 0xefe908d1, 0x17f0229c,
+    0x8704b034, 0xd12f765b, 0x06ebfe10, 0x4c698ccc, 0x59a12021, 0xd47a66c4, 0x78d7a00b, 0x353babcf,
+    0xac7572fc, 0x8cb53015, 0x19d33989, 0x20383553, 0x94b4e476, 0xdf8d3aae, 0xf5444286, 0x65cdcc0d,
+    0x99dc8fcc, 0xa3fd1d20, 0x305ab8d4, 0x67f5b249, 0x8fc951ee, 0x692568c2, 0x08fc8be8, 0xe45e767c,
+    0x5a2915b6, 0x26f489f8, 0x8f50762f, 0xb5ef34f9, 0x37a2040b, 0x84ef4c39, 0x12bde1cc, 0xef75685c,
+    0x22e27540, 0x9698786c, 0x406e0d9b, 0x610e1dd2, 0xf56c02c0, 0xce6acef3, 0xe93e9875, 0x71ec3472,
+    0xd48e2a7b, 0x61755284, 0x86dac130, 0xf85568d7, 0x85ac90f6, 0x815ae7b3, 0xba6e18a7, 0x6eaa3899,
+    0xe6a5223c, 0xc22a2b9c, 0xbeb8d7b9, 0xf93a4fba, 0xc1a92edc, 0x4cc6a1bb, 0x874b2bd4, 0x66af9b24,
+    0xc77362e7, 0x0ab61baf, 0x111e0cba, 0x81c88d86, 0xb0380879, 0x451d3eaf, 0xa4cc52aa, 0x767a9ac7,
+    0xd003ba10, 0x11a25ba6, 0xef6f3c8c, 0x2c2915e2, 0xce21bcfa, 0x6a713fbb, 0xdda29a0f, 0x82bca81f,
+    0xa4c6917c, 0xfcd9a6b5, 0x7d1b7db6, 0x17179aa3, 0xbaedd7ff, 0xffb3e9ee, 0x6daec1a5, 0x9cf7a08f,
+    0x07eeffe9, 0xdea08d03, 0x595147cd, 0x58105187, 0x371e01a8, 0xefe0308a, 0x8b945c07, 0xe2c007de,
+    0x03f050bc, 0x431b2ebc, 0x9a16fb65, 0xb857994a, 0xb03d46cf, 0x01aace2f, 0x9859cae4, 0xc7a2ca98,
+    0x4a278d82, 0xe0a962f4, 0x7e69c7c5, 0x9a636da3, 0x60aa39c4, 0x86b268e2, 0x19401c01, 0x9cfc8d16,
+    0x4426dffc, 0x70413534, 0x6dba67e8, 0x6ab36d24, 0x2db6b1e6, 0xf8e45774, 0xf2b90b66, 0x3fe3f8bb,
+    0x1d6116d3, 0x02802504, 0xfdd3d786, 0x9ce71987, 0x550a1eb6, 0x8c1bbc72, 0xe59ef929, 0xa7d83d7a,
+    0x48fcb948, 0xebef6f73, 0xabebf2f6, 0x6a523643, 0x84e0026f, 0x48fefa7d, 0x9ab641b2, 0x6366e697,
+    0x1c8cf88d, 0x291bd2a3, 0xa3b434e9, 0x9430f997, 0xc4fb23c0, 0x972402fb, 0x833134df, 0x7ac1006e,
+    0x0b695618, 0xa695187c, 0x2b6e0840, 0xa9352986, 0x2c1c7b64, 0x0a49c358, 0x3905a17b, 0x6c121bea,
+    0x2da5970c, 0xff7ccad3, 0x0724614d, 0x5909aeca, 0xbf1c2708, 0x4f6e9138, 0x91b2ad5d, 0xfd65b737,
+    0xe4c0929b, 0x93787957, 0x68a065c7, 0x23883fbb, 0x78ccc634, 0xcb4154ce, 0xaf0059ba, 0x4c6bf084,
+    0x5e7223ca, 0x4f70f2c5, 0x7a3cbe8f, 0xd46b9e15, 0x1cf47a26, 0xbe2f646d, 0xafad7231, 0x996b8430,
+    0xe292b184, 0x3b074739, 0x89fff9c0, 0xad30aa36, 0xab08f451, 0x5f990eaa, 0x2c9837f5, 0xc722aea7,
+    0xc5b235f5, 0xc7e98865, 0x2a38f2c2, 0x1f661e45, 0x1816bd42, 0x9a43b137, 0x9012f5be, 0x7605f7cf,
+    0xb94e3871, 0x575855df, 0xf44e6d1c, 0xa113cf98, 0xf20a0235, 0x75d5bafd, 0x94359305, 0xed23d9c3,
+    0xecb0da53, 0xc712ce0c, 0xb4931dba, 0x57734d09, 0x99406f96, 0x3ce0ad8b, 0x95bf6b17, 0xdefa78e8,
+    0x75bc000b, 0xce564f8f, 0x2b8507dd, 0x2950bc65, 0x810495c5, 0xae5a7de8, 0x2d13e60b, 0x82737872,
+    0x868677d2, 0x684d6d2c, 0x8b178283, 0x97233d6d, 0xad989a76, 0x5e73da51, 0x39b1d7c6, 0x205fe6a4,
+    0x0fab7a7f, 0xd4b0b359, 0xa6f7ea3c, 0x37a07eeb, 0xa85cd7fe, 0x8b8d5e52, 0x2a9b17c1, 0x687ad3f9,
+    0x01ae0498, 0xe7b85356, 0x38e988b0, 0x62dc2c29, 0xdfb811df, 0x5bcbeb01, 0x609314ad, 0x826652af,
+    0x5c5a48d7, 0x836e36fc, 0x2d37a35f, 0xe20dcd06, 0x2ac57866, 0x25254e7f, 0x9b52b927, 0x782cb0a4,
+    0xf1a97285, 0x0773ab27, 0xea83cd6a, 0x8f4a159a, 0x10628c25, 0x30f7dbf8, 0x75bf96c8, 0xc720ebfb,
+    0x69a3e68c, 0xd7902e6c, 0x21501ae6, 0xf12ee1bf, 0x4fb7d123, 0xf3f9cd80, 0x6371cf92, 0xf38c9aab,
+    0xc94604c2, 0x779d72bb, 0x109e3938, 0xf8bbb890, 0x88609e88, 0x8b902d0a, 0x8855afad, 0x544b2ac8,
+    0xae7da235, 0xf0a7b74c, 0xb0adc710, 0x15fb2412, 0x4feb8c09, 0xa0a73f40, 0x0ab903b0, 0xa7ccceda,
+    0x23f77b8a, 0xa46997d2, 0x33e9c803, 0x6af85b5f, 0x5fb0efbb, 0xf8fe86b0, 0xeb6e96cd, 0x45fef041,
+    0x95116ddb, 0x4bf83d26, 0x369161de, 0xd9570e57, 0x4b301a53, 0x7858bfd4, 0x5f20e191, 0x1b798894,
+    0xbfdfb99c, 0x24f0fb0c, 0x3c3ab3d5, 0xc386b274, 0x0a1f7bd5, 0x678f9f11, 0x6aabf9ac, 0xb63bb960,
+    0x60b9c654, 0x78b16497, 0x74904381, 0x6e3cd26d, 0x23c60491, 0xdd1cea28, 0xddf1d1cb, 0x740ce684,
+    0x7dc85d62, 0x7e4e75ae, 0xdb15e77b, 0x9bd5b33f, 0xb79a96df, 0x544a3825, 0x397265d1, 0xb137eb09,
+    0x9f803a29, 0x8468c880, 0x02202e40, 0xab073285, 0x085eff7b, 0x6fec98d4, 0x349924d7, 0xa1448da1,
+    0x00ad3a7c, 0x79f87241, 0x2e6a3d09, 0xbfdc5b62, 0x8b633b28, 0x218f95ae, 0x573295e3, 0x3b6754fa,
+    0xc61db4ae, 0x1a5824f9, 0x4e7048a2, 0x583ff161, 0x67f4e5b4, 0x89954160, 0xc4348982, 0xf790d447,
+    0x44b6af9a, 0x2ddb7dbf, 0xa629e9ef, 0x5d92daef, 0xeea38530, 0xf1b7995c, 0xd7de0f07, 0xb4d33464,
+    0xbf015ffe, 0x42240b32, 0xefc157cb, 0xc5809e8c, 0xc97b8501, 0x8649ff0e, 0x70d5126e, 0xa4ce3304,
+    0x2dc4dacf, 0xaea9a44e, 0xcce82511, 0x4d236f87, 0xdcae90ec, 0x2e7990c0, 0xd07b9286, 0x7711578c,
+    0xc1198526, 0xca73af7b, 0x318ee494, 0x3f32f24c, 0x284bca5a, 0xfd4c56f9, 0xfd1bc0fa, 0xa7fc0bb6,
+    0x396935d7, 0x6a8d867c, 0x4cfcadbc, 0x4c1f9f8e, 0xb165c16d, 0xe393880c, 0x652e52ec, 0x2592957b,
+    0xd6bf4a2d, 0x74c176d0, 0xb91a9265, 0x07f2d5d1, 0x0e29559c, 0x458192a7, 0x6966e70c, 0x3aae17a2,
+    0xbb721290, 0x9f454d6b, 0x023b1b44, 0x0f5e4f45, 0x2e0dc47d, 0x26e9edd0, 0x0eb609a8, 0x7e06bddc,
+    0x0ecbf5e6, 0xda95d388, 0x8fe39658, 0x274d4081, 0xf5a24e6d, 0x976a676d, 0x4e14636b, 0x082ec29e,
+    0x15b1fdbf, 0xb5b58d7c, 0x104cfe5d, 0xe3490469, 0xe6855e8b, 0xb8886bf4, 0x6254b5fe, 0x15c80d98,
+    0x0551812a, 0x75d1923c, 0xf8e03d77, 0xf2cc347d, 0xa6a2fb9e, 0x6d116510, 0xe30f1a68, 0x6913943c,
+    0x39f41985, 0xecde8db3, 0x50ca5ba0, 0x14c865a0, 0xcfaf94b1, 0x6ac80cc7, 0x98b73330, 0x7cbd5fd4,
+    0x756990bd, 0x920c0831, 0x97c59a59, 0xf4d2038d, 0xf5a369cf, 0x62cd9e69, 0xd76eeb88, 0x64e5e6e6,
+    0xb23555fd, 0xb298181a, 0x5398b761, 0xe7280966, 0xd50b4685, 0x5e250724, 0x49669116, 0x55a74727,
+    0xd9efe883, 0x3f4a4b47, 0xf952338d, 0xc3778d08, 0xfaea541c, 0x63c61e55, 0xa2eee9ca, 0x8e75db59,
+    0x5699829a, 0xb9bf0fb7, 0xc6cac6b6, 0xcb435d3d, 0x719cfd37, 0x4f7b8783, 0xcb22008e, 0x6874835f,
+    0xc6dd1ffd, 0x1d949631, 0x1274fb68, 0xfb2a11ed, 0xb11ad590, 0xad341093, 0xba596ca6, 0xe5c3349e,
+    0xc11c8b9b, 0xabbc88bc, 0x52589962, 0x6fc31d6e, 0x3063ed24, 0x82938262, 0xf9df3a65, 0xd62f5f73,
+    0x3b70228c, 0xfe899057, 0x2437c65b, 0xb7120862, 0x5962ba85, 0x636287aa, 0xbb18d1c5, 0x3a1e3cfc,
+    0xc52bac67, 0xb95eb647, 0xd3496399, 0x9bce6e45, 0x663eb107, 0xa2f6357d, 0xe4ad2a37, 0xd59a2fbc,
+    0xcf7e8c5e, 0x5fe8c5e7, 0x616529e5, 0xd8216691, 0xa4d3528f, 0xa9fc45d2, 0x4f19905d, 0x379bd600,
+    0x3b872bf9, 0x8af101b8, 0x875445b4, 0xe75c093d, 0xebb417cc, 0xf69386a9, 0x1f44fb9d, 0x879ef3d6,
+    0x42a76656, 0x9ed344d3, 0x43d1951f, 0x0194f33f, 0xdf454c46, 0x8a4b4de8, 0x1e8447a6, 0x857e4de5,
+    0x139d569e, 0x0b52c4a8, 0xa629913f, 0xb9f485b3, 0x96a27590, 0xf31054db, 0x019ee855, 0xd894cf53,
+    0xec710217, 0xb6a16709, 0x6b2f36cc, 0x30e600d2, 0x73273696, 0x30391321, 0x7bb8676d, 0xd7b28b8d,
+    0x52415739, 0x6d8a6727, 0xbdda8736, 0xdfe00acc, 0xb24029bf, 0xfed2449a, 0x4f78dc75, 0x08186716,
+    0x22b2a17c, 0xa1bb9e84, 0x73873b50, 0xca0a9d93, 0x8e232888, 0x81881664, 0x34fd06be, 0x52324a04,
+    0x3bca7c33, 0x22a56fcc, 0xfbe7e9f3, 0xdb530e13, 0x7e3e499a, 0x5e912994, 0x60088add, 0x3f2ec897,
+    0xd849b344, 0x0712ce5b, 0x0dc52bc3, 0xba3852f6, 0x900f6d56, 0xfdc3cd13, 0x9f8b8efc, 0xd054462b,
+    0xf7eaed21, 0x938dc28d, 0xd0f202db, 0x08b8ee2d, 0xa2ba9f55, 0x8d0b2685, 0xa0756de1, 0x6faf118d,
+    0xca54bb6c, 0xdfa0c740, 0x0cab50b3, 0xe66b733b, 0x282d59c7, 0xfabe4c84, 0x187b8770, 0x4def9596,
+    0x4595b803, 0x7eda66d9, 0xbf303056, 0x8ac2850d, 0xa5ee71a0, 0x08bc99c2, 0xea866394, 0x5b225db1,
+    0xd4959927, 0x6104a302, 0x346ac89b, 0x84ad4eb5, 0x8100753a, 0x1736ac3a, 0xe259159a, 0x7732c35c,
+    0xedc83de8, 0x14d38496, 0x28af5621, 0x61d1b6f3, 0xfd98635f, 0xfef65c30, 0xebf1a600, 0x96d69ce3,
+    0xf1216d77, 0xce623621, 0xfc8452d8, 0xced54b70, 0xe8860b37, 0x4081ed50, 0x13175b13, 0xe15c5ff8,
+    0x971fc1c2, 0xed5819b8, 0x3cc9b9ee, 0x28c79694, 0xe3835927, 0xee6a574b, 0xcb45e42b, 0x29385d46,
+    0x37f00e87, 0xb51df64e, 0x2c498362, 0xbe25bb6e, 0xc96d6484, 0x2255acb3, 0x43709d90, 0xfa865948,
+    0x7bb39519, 0xa793fb18, 0x80ea0ec3, 0x9f044f93, 0x52a1ee2b, 0x61239536, 0x70348aa9, 0x6fcb009b,
+    0x979eecb9, 0xc9a05964, 0xb6643447, 0x7b80d76d, 0xb52741ed, 0x170e15fd, 0x2c2ac69a, 0x06f7002b,
+    0xce901b4a, 0xe2343db9, 0x6bb9c084, 0x7b491ed8, 0x7d809d6f, 0x48708b48, 0xd36598f3, 0x07feb429,
+    0x5f6a500c, 0xacdded4b, 0xa0579913, 0xb5dbfd9c, 0x862fd4a9, 0x5a1f041a, 0xe75be0b5, 0x0a492640,
+    0x0599eaf8, 0xa111c160, 0xf37138cb, 0x909183bf, 0x2518e244, 0xda847c1b, 0xb641ef2b, 0x539b7645,
+    0xc2144893, 0x4b70554a, 0x2928ea7d, 0x5f64d223, 0xea37f24d, 0x397449c6, 0x30bc7cff, 0x11648f2b,
+    0xc99920e6, 0x242b350c, 0x1e59a5ea, 0xfb12076c, 0xccc7d28b, 0x1b261929, 0x51c73a77, 0x3b8e1f02,
+    0x1a37a3a4, 0x2e2b9537, 0xaf804481, 0x23a4e781, 0x48997834, 0xc2974069, 0x69c96d5c, 0xd79e403d,
+    0x2ab47431, 0xa00b4ea2, 0x588be16e, 0x11db6663, 0xcf2d55b1, 0x966c9425, 0xbb0a080d, 0xc266948b,
+    0x0db55f0d, 0xf43e64f6, 0xc5f50bfe, 0x040ee430, 0x4f1210bf, 0x19724c7d, 0xe50b1891, 0x3020b9b3,
+    0xa1503745, 0xfb3d9f4e, 0x161a02f1, 0x21cff79e, 0x26e6698f, 0x72a5fbfa, 0x2b61845c, 0xc1f76fb3,
+    0xd155c948, 0xf7978a9b, 0x28b600ab, 0x5036c12a, 0x305cf782, 0x23567f1c, 0xa67bdfdc, 0x4cc5b9b9,
+    0x9cd0ec60, 0x816902c8, 0xd09d0c96, 0x4100c640, 0xc6ca7df4, 0x7d3391a9, 0x604ab4cf, 0x6cf71b4a,
+    0xad73d036, 0x96f21f79, 0x09842f60, 0x8ba4837a, 0x6fc68231, 0x8fa34151, 0xe63522f9, 0x34ed205f,
+    0x26b894d1, 0xed14459d, 0x9334269f, 0xc15cd5c7, 0xf5f3a36f, 0x4800d66a, 0xf4f142b2, 0x8d0fb5b5,
+    0x64c32a2c, 0x1bdd8750, 0x6ca36039, 0xcf87b77c, 0x4f6f157f, 0x80d7a21c, 0x20e84aa3, 0x8018147d,
+    0x7fb2b4a9, 0x7d439b47, 0x14770e42, 0x3afd7e0c, 0x42772de5, 0xe95a48a1, 0xf85e3965, 0x23be7e04,
+    0x5446520f, 0x3bd39ca2, 0xdb4ca8db, 0xb4e61fce, 0x8018f624, 0xf8d55ef4, 0x8504db1c, 0x47bca5db,
+    0xca04de23, 0xeb3058a3, 0xceccfa12, 0xe0ec6c83, 0xe0b21552, 0x0ca217de, 0x9ffa90de, 0x8d1355c1,
+    0xcb7b6aea, 0xb99a9cc9, 0xe9c21998, 0xa911b67a, 0x9976cfed, 0x8a19b468, 0x9e1c1fca, 0x63a76161,
+    0xbdb83d4b, 0xcadbad2e, 0xe45ddcee, 0x0697c91a, 0x7ae5d66e, 0xa817370c, 0xf3d01f1b, 0x96434bec,
+    0x82a30ee7, 0xe96c73f6, 0x7ccae630, 0xed45682c, 0x3b3424f8, 0x42a0741e, 0xce33e47b, 0xe89634eb,
+    0x2ceae941, 0xd397099f, 0xb0383262, 0xb1859778, 0xf37d3e2d, 0x3cc81477, 0xe5715a47, 0x1c1cdac9,
+    0xa40a15a3, 0x6871b206, 0x9a53e7cf, 0x8969c91d, 0xc7134c22, 0xf410ac29, 0x5f4c7977, 0xea738324,
+    0xb45a54d1, 0x8ddb6dbc, 0x2057b111, 0xe226f644, 0x61dd5179, 0xedbf9a7b, 0x66a612cf, 0xcaec866d,
+    0x6ba85dca, 0x089c8686, 0xbe2854e5, 0x40a0507e, 0x153979b2, 0xd174916f, 0x507dd72f, 0x831b874c,
+    0x00000000,
+    0x7a14f5e4, 0xa0aa4e29, 0x7062e0ed, 0x7810b115, 0x3d317ccd, 0xa9bfbe8c, 0x2958b724, 0xd500e426,
+    0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000003227812347608635737069898965003764842912132\
+                          24103652939103832419567580952752105149328705669160017228929487896496593436672 */
+  { 0x00000000,
+    0xa5a05514, 0x209985c2, 0xe1522bea, 0x59815265, 0x33515503, 0xc2cf2452, 0xb61295f2, 0x9756c959,
+    0x20680a04, 0xb26ff99b, 0x5c00af4e, 0x7db281fc, 0xd5565ab2, 0x5078bf6d, 0x31837929, 0x548b2517,
+    0x23e55e26, 0xa61074ed, 0xf401a2f2, 0xf91712ce, 0x731bf44f, 0x9c2d424e, 0xd3d08c3b, 0x622a7cbd,
+    0xac7accb9, 0x1f54c359, 0x940a7865, 0x2a9d42c9, 0xc9aeb559, 0x71666d03, 0xce6aa718, 0xbdfedb52,
+    0xba952be8, 0xf33ab378, 0x20e62933, 0x72fc29d9, 0x556fa671, 0x1784ed58, 0xf8dedcc3, 0xa4a0720f,
+    0xd6504ad0, 0xcc948604, 0x86ea37b3, 0x64e3e8ad, 0xcef79705, 0xc880f9b6, 0xfa7c6f72, 0x03b161e9,
+    0x09800f3a, 0x47c257c3, 0x74ecfd84, 0x5e61acb8, 0x2d9706c0, 0x46d1ca90, 0x915a932f, 0xfbe72d49,
+    0xfbe502f7, 0x95ff659d, 0x2d959a85, 0x1a84cc21, 0x253468fe, 0x1bcb8043, 0x39787064, 0xe7d5b1a6,
+    0xdcef57a7, 0x3b899d5c, 0x3a63d269, 0xa7fb7ea2, 0x2ecdc307, 0xbe78c82f, 0xad80ab84, 0x8d121fc4,
+    0x41ca2708, 0xdf9d3931, 0x168e185b, 0x7df744ea, 0xeb28dcf1, 0x018edbee, 0x1b3b2649, 0xa43a0d09,
+    0xc6125bc4, 0x69c4da4c, 0x985be5f6, 0x1a0d06c4, 0xea5c9aab, 0x5868cd91, 0x1468a9d1, 0xac604ef7,
+    0x67da25f4, 0xd64d97b7, 0x23f46a7f, 0x681b72bc, 0xf4965fb3, 0xc5addf68, 0x7d4c3df4, 0x3fb597f5,
+    0xaeafcb27, 0x6cddfaa7, 0x7feeb29b, 0xc300783d, 0x613327db, 0x52b8d259, 0xafe9f48e, 0xfb641f33,
+    0xb3c75daa, 0x582d5c1c, 0x309da826, 0xb8536be1, 0x578edeba, 0xa931e8bd, 0x65cbceb2, 0x4a841572,
+    0xec7932de, 0x25234fba, 0x4a6ddc93, 0xdce35c99, 0xf3cdac18, 0x565d815f, 0x61728fc9, 0xeb75d4c1,
+    0x69e59a28, 0xe76d5663, 0xbfe014ce, 0x6fbeab8e, 0x1f1067fd, 0x4bd77955, 0xcd0ceb12, 0x29d59ea1,
+    0x2eede00c, 0xcb024653, 0x5d911986, 0x719b62df, 0xddbe9a3e, 0x42ccd489, 0x451868c3, 0x921a6349,
+    0x459c5155, 0xed445800, 0xdd417be5, 0x3ad43b2b, 0xfb258183, 0x2032f443, 0x55453625, 0x5733cd1e,
+    0xa2e824e4, 0x79a9116e, 0x76a0f5fb, 0xdd76ef8f, 0x419a3e91, 0x3de40f31, 0xb993938c, 0x2c16c41a,
+    0xf585dcbc, 0x35115664, 0xd819dcb3, 0x0f673701, 0xafb913ef, 0x4fb6c1e0, 0x5bb9cade, 0xad610d50,
+    0xf153c57d, 0x89e54cae, 0x75f1f679, 0x96ffea40, 0x2c9c9708, 0xd7e06a8d, 0x31b37e03, 0x6b882b8d,
+    0x4dcd4dc8, 0x39772521, 0x4dd24356, 0xe93f2a3b, 0x40041d87, 0xba6918d7, 0x7d6c0e97, 0x9056b6d6,
+    0xd1a9bb76, 0x13b7f5eb, 0x76c27d3b, 0xd34bda9a, 0x5192e031, 0xe40f187f, 0x853eed45, 0xf32d4c2a,
+    0x80344d24, 0x492f8767, 0xbe234f04, 0xc1c5d083, 0x6938db50, 0x80a4bc25, 0x02ff3381, 0xc921b5c6,
+    0xc54ab27e, 0x13db7162, 0x6c98c3f7, 0x63f7453f, 0x21cc7c96, 0x03172bde, 0xc0a36a95, 0x867c05af,
+    0x7e8c067b, 0xd3194791, 0x2482f2c1, 0x1de23c46, 0x0af804a0, 0x8a34c9af, 0x497767b8, 0x26a71cb2,
+    0x4bfd8701, 0x2942e046, 0xf925ac23, 0x2eb47f39, 0x04390533, 0xc14d72de, 0x9d7e33ea, 0x5c8f3d88,
+    0x7859c2f5, 0xd9da002d, 0x030926a5, 0xc5ba8ae7, 0x89188018, 0xdc2633a4, 0x25c9762b, 0x7e80508e,
+    0xb7471661, 0x1f2d7b7a, 0xd056ab78, 0xb8927e5a, 0x024c8b2a, 0xd6924ad6, 0xfdce6e74, 0x77168595,
+    0x7bfbe86e, 0x7f65eec9, 0xd948d053, 0x9b6c7890, 0xa301778c, 0x9a136be8, 0xd30c55b2, 0xf4ad1100,
+    0x8cd9431a, 0xa4e11d4c, 0x77acdceb, 0x6743d541, 0x4c659161, 0x3338d279, 0x3d06e4ec, 0x087980c3,
+    0x8e63fb56, 0xbedb07d6, 0x67501ca1, 0x407f3874, 0x8f1ddba4, 0xcb3552db, 0xbcdd3465, 0x137695d5,
+    0xbb18d347, 0x5f8856e3, 0x074a09d3, 0x7ba7b8e1, 0x075c49b1, 0xdc1c619a, 0xb6ad63f9, 0xab7db31b,
+    0x66f60235, 0xd02926e6, 0x2a7683fe, 0xfe951541, 0x714e1c0c, 0x08dcb1d4, 0x160d1b6d, 0xaa94aaa0,
+    0xd0db6f70, 0x243d36e9, 0x11765de0, 0xaf57839c, 0x058c8c3a, 0x99612581, 0xe3f9bcf2, 0x9209c167,
+    0x0e9c9061, 0xd132b589, 0xc439f7f3, 0x4faa6f69, 0xa2ed0a51, 0x124d3104, 0x2625793f, 0x790437a4,
+    0xec8e090f, 0xfd270dd6, 0x82750a25, 0xf433f1ae, 0x4e3d460d, 0x09d0cbf8, 0x87198c3a, 0xcc26565b,
+    0x23e76ea3, 0x09a5bc82, 0x0619dc7b, 0xdf70fe18, 0xc0c61ec6, 0x4c06596a, 0x3b6777f9, 0x60927d0d,
+    0xc313e56e, 0x8d69349a, 0x70c8f2dd, 0x35f4ce5c, 0x2fcbb81b, 0x0beeb4c3, 0xcd968342, 0x549be83e,
+    0x46c2afb1, 0xef23be7e, 0x64c5eeb1, 0x504e56f4, 0x9a3e7d8a, 0x95cef068, 0x616bdaa8, 0x229a68ca,
+    0xdac3bccd, 0x71ea5806, 0x5a7da023, 0x147f608d, 0x68922039, 0x7439755c, 0xc80fff74, 0xa01f8253,
+    0x714788d6, 0xd0b6a086, 0x72393d4f, 0xa94265b6, 0x620bc922, 0x6738108d, 0xead8971a, 0x6bb5a86f,
+    0x2b9b7e2b, 0x70ed2408, 0xf4419daa, 0x88c6df6e, 0x766c72cd, 0x3e086623, 0x81ee0d34, 0x32ce0358,
+    0x93755542, 0x4bb8c318, 0x8d91cb93, 0xe027088a, 0x5d8358bf, 0x27283077, 0x5b93819f, 0xe37301fc,
+    0xf51a1032, 0x63e22ac2, 0x13e9aa63, 0x1ba969bd, 0x4f10a40a, 0x521bd60a, 0xa2910394, 0x455716a6,
+    0x808ba67f, 0x2750b5af, 0xce2564d8, 0x0b93bb01, 0xbc58abd3, 0x02acec7c, 0x4e605d0f, 0x71d1a4cd,
+    0xee83d655, 0x4f3265d8, 0x9fb7ddb5, 0x741344ce, 0x1f2de1ca, 0xee0aa9f6, 0x1aca8f9d, 0xe4c93c2b,
+    0x702f19c9, 0x30e80068, 0x629e269b, 0x72f21bd1, 0xa12f45e4, 0xf6c009ea, 0xc86ed9e0, 0x7ef1f5fa,
+    0x4ec36575, 0x8475a3d0, 0xd1b35af2, 0x2e5380a4, 0xcd7ab3f4, 0x206f30ed, 0x672e0340, 0x03c94e09,
+    0x0cddbae2, 0xc73172ed, 0xf12fc3b5, 0x2970b5d3, 0xf54f92aa, 0x696ec78d, 0xb451ae26, 0xe2701a7a,
+    0x55b04330, 0xff31c0a6, 0xb2300fff, 0x76353400, 0xaa66b65a, 0xd6db2e32, 0xbb2bfa3f, 0x2b588dce,
+    0x21c1c1ef, 0xb9ab0479, 0x0b4bfda3, 0x8fc337e1, 0x7c9d9904, 0x1215b84e, 0xb4047254, 0x464c6616,
+    0x39fa704f, 0x7a7bd4b4, 0x31566575, 0x8de498bb, 0x758f0197, 0x165aebb6, 0x211c4636, 0x3e9e17d7,
+    0x20cd1c76, 0xe027ae1a, 0x1979816e, 0xd7a78800, 0x994dcaec, 0x911fc681, 0x2496ddd2, 0x5b3135fa,
+    0xc555f446, 0x1d89d55c, 0xa440ebae, 0x0cf4f1a9, 0xf1a2aca5, 0x1eff7350, 0x373809dc, 0xdeb28b01,
+    0x0ea534ec, 0xff3bbd51, 0x1b860f70, 0x8c9d1c70, 0x2e8881a6, 0x9a00c075, 0xa116c50a, 0x556dba5d,
+    0xe5436ccc, 0x3489eb89, 0x9cf77edc, 0x85d9efb2, 0x77b22c9c, 0x53bf53fb, 0x4f662f8d, 0x141d6bf3,
+    0xebce13c0, 0x9d9296d4, 0x7e88a804, 0xd247548a, 0x43e1cab0, 0xe76486e1, 0xb9ae12aa, 0x0d7fbde5,
+    0x31057e20, 0xb60e414d, 0x7bf76b10, 0x8da692d4, 0x0f1b8908, 0xa3bc8128, 0x5d839862, 0xa0f531fd,
+    0x4a797a9e, 0x4eb7f755, 0x41f3c26e, 0x4087303d, 0x71bb5bf0, 0x6679eb07, 0xb031c58a, 0x859cbd53,
+    0x3d83033b, 0x6fc822e5, 0xdb511a93, 0xa7999f69, 0xb3668064, 0x496992e3, 0xf7d89752, 0x123ed538,
+    0x8613db5f, 0x17bb119a, 0xd76c0379, 0x81d10295, 0x3d924a1c, 0x32f845f6, 0xa2f3f68f, 0xa898a1a1,
+    0xf835a518, 0xe2b39598, 0x21f0dcdf, 0xb0fc2d65, 0x7506cbb7, 0xd882d87a, 0xdc6e68bc, 0x0e093a85,
+    0x282f4d0b, 0x7ad9ba8e, 0x9e9c5acb, 0xff18791b, 0xf757b13a, 0xd5c38281, 0x98976261, 0xabb6e4ef,
+    0xe06c7e51, 0x3efa583a, 0x3ae33605, 0x9b931e67, 0x84f63b6e, 0x55f8c507, 0xd4073457, 0x8e4dc101,
+    0x50ee3ee5, 0x561b54f8, 0xa6688b2d, 0x43e5b0e7, 0xe631ac3d, 0x2e53707e, 0x050f968c, 0x90955187,
+    0x362325f0, 0xa97934e1, 0x99e8f1e5, 0x61a596ec, 0xae244798, 0xac2016da, 0x62cea137, 0x1d273da5,
+    0xa1db34c8, 0x0957537e, 0x03f39db9, 0x4d043f1f, 0x1fab4728, 0x92dce1ac, 0xbf7e37c8, 0x2d15374a,
+    0xf6f155d6, 0x0625c06c, 0xbb8f6957, 0x2b009070, 0x02497a3d, 0x75e2e1de, 0x90fa539a, 0xd1d9b873,
+    0xffd6b843, 0xa7d375ed, 0x5a84add2, 0xb2cb76c9, 0x891428f6, 0xfb096164, 0x607adb0d, 0xa5300af1,
+    0xc2242462, 0xbeafc838, 0x4ca1dc70, 0xb613f67e, 0x13990bf6, 0x82adceac, 0x72ba6b18, 0xb0b304b7,
+    0xb7be7b24, 0x908982f4, 0xc7ab9b7e, 0x28203fc4, 0xf76b5efa, 0x89f327b2, 0xfcf9434d, 0x78a8e1b0,
+    0xe32a928d, 0x4387b952, 0x08d1b0ef, 0x50047b88, 0x4acc6929, 0xfde18a98, 0x2290b279, 0x51ef63fe,
+    0x3494a4de, 0x5bfc38af, 0x2421b22a, 0x9e52181e, 0xce4f7354, 0xa85bd713, 0xb016ff5f, 0x0cc25154,
+    0xba8830f8, 0xb1020514, 0x15f81473, 0x81989d9c, 0xfe745d19, 0x4847ef9e, 0x1280586e, 0x2d1cef50,
+    0xc440f253, 0x6cfb0e23, 0xad978d41, 0x53321fe5, 0x8e246c99, 0x083d2b81, 0x0f9aaf7d, 0x72821b6e,
+    0x47194bdd, 0x0ef1e2f9, 0x2aeb3c80, 0x6ae9467b, 0xa501dc7a, 0x7b3a8f5a, 0xdd72853e, 0x685ba4ff,
+    0x99b434d4, 0x860e0e71, 0xc1d86e3a, 0x6a870f1b, 0x4ede8d21, 0xafcbf96f, 0xf946579a, 0xb9c9d086,
+    0xbdbfd112, 0xf33c079e, 0x9f7dcaa4, 0x29db4e31, 0xd88f7e13, 0x34a9bcca, 0xbe492558, 0x7c8ea252,
+    0xf789e23f, 0xd34b4ca2, 0x6d4c0974, 0x9f466153, 0xc3e417ae, 0xe95dbcd6, 0x3642a161, 0x4a0bb11f,
+    0x8e64e315, 0xe6d4306c, 0xcf8242a7, 0xde617f5c, 0x528c6af2, 0xc29659ef, 0x781d8cb6, 0x791d5729,
+    0xcd07ba89, 0x050e7727, 0xb15a3e78, 0x25fa1430, 0x96783a3a, 0x9c2d7bd2, 0x862a7b52, 0x6c88bd5e,
+    0x5476d70d, 0xd5a7f1f9, 0xf865ba47, 0x6b3c7909, 0x54418fed, 0xbf4bb66d, 0xdaa27085, 0x189fd1fc,
+    0xcd4d2e90, 0xda26e8b3, 0x5a7b8637, 0x553f99cc, 0xed3f1be1, 0xa06a3be2, 0x06e3921e, 0x20f95b37,
+    0xa5015a22, 0x8afebd34, 0x2c98964b, 0x06947391, 0xbf2deaaf, 0x0eda8980, 0x609c51b2, 0x5cef5263,
+    0x3ea9139e, 0x06c01468, 0xf746fd9b, 0xda72cd8e, 0x025b7401, 0x424f5caf, 0xc8cce207, 0x64bd3988,
+    0x436b855c, 0xae478748, 0x540cfb1e, 0x94b14e54, 0x0859ed2d, 0x215133fe, 0xbeb3d5e7, 0x2b1e912b,
+    0xcb4e6bfd, 0x2d60e0cc, 0x414f2cae, 0x64b8740c, 0xb518b950, 0xbea0ad3d, 0x386bfbdb, 0x42ae3ca4,
+    0x0bbb118c, 0xcb9eaf3a, 0x74476e88, 0x96988042, 0xa50037de, 0x88aac50e, 0x0a62f134, 0xda9436bb,
+    0x5b96a5c6, 0xdda717c4, 0xf687e542, 0x0b60de45, 0xe2a54231, 0x90af95d0, 0x99b83ceb, 0x3adf5132,
+    0xd9047b92, 0xf53aed39, 0x84c06943, 0x831dc68a, 0x6c4e48b2, 0xcaec10db, 0xa7751720, 0x0d925eb8,
+    0x56a1ad0a, 0xba07dd25, 0xfb2a3828, 0xb602328e, 0xf7dc0e24, 0x358c517e, 0xc9dff63f, 0xcd3e45df,
+    0xd57f8a51, 0x564a2d27, 0xa74f76f9, 0x0f289c28, 0xf31729ed, 0xf22c7ecd, 0x6a03a5e3, 0xb1f67eb8,
+    0x203f06a3, 0x9a2a3b92, 0xbcc85613, 0x4e37b54e, 0x010a5c86, 0x6a2ed04f, 0x125d1b4f, 0x2fdfdae3,
+    0x495ec772, 0xf5e78d82, 0xc00072e2, 0x06899fda, 0xefd670e0, 0x9ce82b87, 0xdb69e9e8, 0x79cdb8de,
+    0x88a7cfc2, 0xef511a60, 0x850e3064, 0xe41c9f1c, 0x0807cf66, 0xc64324a7, 0x02368786, 0x379ba171,
+    0x8d0d68dd, 0x840e8b24, 0xc4261622, 0x457d561a, 0x025b4e9b, 0xa8617178, 0x222261bf, 0xd5faa1e7,
+    0x6f9ac7bd, 0x4c19da21, 0xb7624547, 0xc9df5c08, 0x109fe2f9, 0x210c121b, 0x7361caa0, 0x2de296d1,
+    0xdc9de777, 0x9173173d, 0xd80c29fb, 0x6c08524f, 0x37c699fd, 0xbd7c6033, 0xf1c21c7d, 0x5a2e1f17,
+    0xa808b238, 0x347c2bc8, 0xc9c887ea, 0xfe72b04e, 0x8e4392b1, 0xb20aeec4, 0xac7db520, 0x63649f4e,
+    0x8f498ecb, 0xa1baf44b, 0xe463ecdb, 0x03e0cddf, 0x39900470, 0x029af2f5, 0x2f9460c1, 0x3afadc5c,
+    0x291d8683, 0x7355b1db, 0x4d61d8a8, 0x2eceaa9b, 0xa0b7f944, 0x6596e267, 0x44364104, 0x9384a32a,
+    0x56eb2612, 0xb966927f, 0xf2073ed0, 0xca2f5bcc, 0x8f7ff52b, 0x142e3176, 0x5c8af7f9, 0x082e51ef,
+    0x88075a94, 0xc31f6d4a, 0x49c1d473, 0x4e379fc4, 0x81bf0d30, 0xa2f882c7, 0x158acdbb, 0x87ead4d0,
+    0xec308f36, 0x8b3e4a69, 0xb4d03312, 0x08fe9398, 0xcb04d8d2, 0xd0729188, 0x53f09dfd, 0x7e1806c8,
+    0x02b7db6c, 0xcec3eafe, 0x8433862d, 0xb6a66e60, 0x963e0357, 0x71388aba, 0x63030a35, 0x3564f2cb,
+    0xa619389e, 0x4a4ba0cc, 0x6816fb0b, 0x9940bf7b, 0x2f32baba, 0x4f1706bb, 0xf1075f21, 0x27bea31c,
+    0x92b692d7, 0x0028057b, 0x95458e88, 0x3f27c8d3, 0xb7b39b35, 0x10e990ef, 0x1a882d8b, 0x6d034c0a,
+    0xc2d7202d, 0x523c6ec6, 0x3a69ae1c, 0xc55ac1ff, 0x6039bc66, 0x4cc71f31, 0x7c2d5b4e, 0x20d9cbaa,
+    0x7f2d3c59, 0x8b142a9a, 0xdaa49274, 0x4beadea1, 0x7d31011e, 0x71ed8080, 0xc10e8652, 0x0ff68c86,
+    0x8bbb7555, 0x80d13fef, 0xfa64d07d, 0x86ad704c, 0x8709c52d, 0x8c0dd28e, 0x6c1c8fca, 0x974f76ac,
+    0x7c2fbea8, 0x0c8485b2, 0xc0b8f6d2, 0xb1b2f430, 0xdead6685, 0x0f912978, 0x1e019db7, 0x2b9e7b9b,
+    0x00fb2999, 0x51eab2f4, 0x0ee3bcab, 0x3f0c31e0, 0xcb7e531a, 0x1daf9d1f, 0x369c8fc1, 0x53d9687d,
+    0xc3c312e5, 0x758a71f5, 0x0fed1815, 0x769b9cd3, 0xe117227f, 0x18177640, 0xda59ca26, 0xbaf1534f,
+    0xd8043b00, 0xf4bd4151, 0x5a701400, 0x1b853b56, 0x4d258cf2, 0xb6d6bb4e, 0xf1354dc3, 0xf7429f0a,
+    0x8f0132a4, 0x80dfacbc, 0x2f18b1b7, 0xb96fd56e, 0xede0e9cb, 0x0b5f0b59, 0x606cc096, 0x9902f5a2,
+    0xb59f2861, 0xe8bcf937, 0x6299e0dd, 0x9cb54fa8, 0xf70bad1e, 0xbf52235e, 0x3d01096b, 0x82ba50e5,
+    0xf752743c, 0x48bc9f8f, 0xad625280, 0x502c4e01, 0x3c755cae, 0xdcb0cff2, 0x213bac2f, 0xfee9a49b,
+    0x355fc872, 0xbbfb8793, 0xfbc659fd, 0xea40b969, 0xf6c12ad7, 0xbcca6ba3, 0x8a7cd875, 0x5f95737b,
+    0xca6cdc66, 0x5b7903e9, 0xd5fb8ab7, 0x59574299, 0x01d17fe5, 0x78c700fc, 0x80eb2da8, 0x96c172f9,
+    0xe54e990d, 0xea05959b, 0xf368c70b, 0xb84595c5, 0xbb4ea742, 0xffdd7304, 0xbc5e5778, 0x562ca090,
+    0xb440df70, 0xcc313b0d, 0x9d72dbc2, 0xcd1abdd0, 0xf2aba336, 0xf98616a8, 0x36541d22, 0x7ad2c8bb,
+    0x1e55319f, 0x61da1005, 0xeb92fc31, 0xa2cdfe81, 0x1bc9fa57, 0xd863324f, 0xf164c7fc, 0x5cfc304b,
+    0xd7294062, 0x1b82beb8, 0x96405d76, 0xb4ec03b7, 0x11ba1f5f, 0x7f686c1b, 0x1ee2eb0a, 0x11be0d82,
+    0x6a30e0a8, 0x38b5832a, 0x1021a552, 0x9bcf5407, 0x605bc629, 0x90a33329, 0xdb8d2dd2, 0x497514b4,
+    0xc21d7c87, 0x2de044da, 0xa0e7ce71, 0xf232120f, 0x3c548097, 0x44d9c791, 0x94b7b88b, 0xb73419aa,
+    0x00000000,
+    0xbd0a7af1, 0xd0552714, 0xb8317076, 0xbc08588a, 0x1e98be66, 0x54dfdf46, 0x14ac5b92, 0xea807213,
+    0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000001613906173804317868534949482501882421456066\
+                          12051826469551916209783790476376052574664352834580008614464743948248296718336 */
+  { 0x00000000,
+    0xe379dd2f, 0xedfedc00, 0x1e9251ac, 0x1b978174, 0xa3ddfaaa, 0xec1e4ad8, 0x6c67a841, 0xe9a5feda,
+    0x7bb1f53a, 0x03bb8c29, 0x1a5600a7, 0x4b59b2ff, 0xc120a2ef, 0xb1f6f3f5, 0x54549eb3, 0x9b5a089d,
+    0x5f9bcfe0, 0x145b9d6e, 0x19211ad1, 0x231b883e, 0x90072f78, 0xd753983b, 0xdd9dca27, 0xc0787936,
+    0x39a73677, 0xadb37682, 0x2a86608c, 0xf39a6f84, 0xef295c35, 0x1f146940, 0x3a4f7497, 0x0f2a03c2,
+    0xc3147246, 0x9914fd09, 0xfeb73ffe, 0x0e6b873f, 0x87943366, 0x55d4de0e, 0x4a310ada, 0xaa8b52ed,
+    0x49871c96, 0x5bdd55df, 0xce35aa7c, 0x16aa9e54, 0x51a9ebd0, 0xa08175b8, 0x97889f89, 0xc9b4ba97,
+    0xa101f85f, 0x39e74b24, 0xd2b4489a, 0x07199c3c, 0xd4710b66, 0x686a849a, 0x335d0593, 0x01539376,
+    0xf3c4d6cd, 0xfe01e928, 0xd82d77f1, 0x37649bc9, 0x2d8bcd2e, 0x660f7996, 0xbb991fd2, 0xf25535d0,
+    0xdccb2eb4, 0xa8800a11, 0xc9b94f46, 0xa31ca69c, 0xb5b8a2e7, 0xbf4f4692, 0xf9770b1c, 0x76729342,
+    0xf0beda6e, 0x9f3c795c, 0xca73baa9, 0x18f0461d, 0xf49078ac, 0x09947024, 0x28686dc1, 0xdf35c096,
+    0x7ac91632, 0x537e759f, 0x4c625273, 0x6d9c9856, 0xde86d223, 0xffeed362, 0x214ff8cb, 0xfe6472d7,
+    0x62dcaa15, 0xf7f0d433, 0xe9773516, 0xf53f606a, 0x132d31a9, 0x899ed3b5, 0x9a75e719, 0xd992d28a,
+    0x8dc783a5, 0xb85df408, 0x2851d2b9, 0x02ee278f, 0x1c66d4ff, 0x0bf7a33e, 0x1be7f72b, 0xc461bc91,
+    0x8725dc2e, 0x9f388fba, 0xde7f838f, 0x266ec2aa, 0x0e6f8dbc, 0xe8f2f455, 0xb6b7f716, 0xa6d71252,
+    0x6050ba7e, 0x64f016e2, 0xac88991d, 0x58295f4d, 0xb1dad25e, 0x2809c960, 0x2eae9aff, 0x13610ede,
+    0x9aa5a1c7, 0x270be9be, 0xe5bd9d43, 0x9bdd7782, 0xb54d0615, 0xc5f92a76, 0x5320e884, 0x8b0494fd,
+    0x3a2b6ab0, 0x52182470, 0x06d375ed, 0x85ce642a, 0x580c592e, 0xca8bbc07, 0x98418759, 0xbde59faf,
+    0xce70c760, 0x375dfc48, 0x44efbd50, 0x8081a653, 0x019c035a, 0xef852ac5, 0x0afc5f87, 0xd9c00264,
+    0x2012a900, 0x4086932b, 0x4369e7f4, 0x4934c336, 0x6f82548a, 0xe2ffceaf, 0x94b6eaf8, 0xcf66907b,
+    0x03dd1044, 0xc8c408b7, 0x3f22ebc9, 0x71253736, 0xf56c2dd0, 0x81574854, 0xc354c320, 0x6e7c401d,
+    0xa05092c2, 0x8fb286c8, 0x8cdfcb6d, 0xab542151, 0x611f2165, 0x76adb80c, 0xe7e2b177, 0xbb4c1878,
+    0x28eb3a0d, 0xf4e57811, 0xb7b408a1, 0x086f23a5, 0x3aa2583a, 0xd12b2f6d, 0x8040d01c, 0x43208ac8,
+    0x4ee8e973, 0xb3459d15, 0x2658d448, 0xae4d3ed5, 0x3f9e8526, 0x2f9c639e, 0x00f21453, 0x0c234dae,
+    0xe8d445ba, 0xd2e4936d, 0x212cf300, 0x388df13f, 0x6cb38232, 0x93ba62bb, 0xf6afc450, 0x29ca4c70,
+    0xa0b46570, 0x1c746bc9, 0x2394d9d0, 0x4c9f94c6, 0x88cc5f92, 0xf9a07d84, 0xc5d34e7d, 0xec382d2a,
+    0x87ed1c64, 0x70a7c9a2, 0xd09b084c, 0x0095ddf6, 0xc2e908f2, 0x1fb17fae, 0xd5f69c76, 0x592c8e7c,
+    0xeb6c4fc2, 0x94d1bb7a, 0xc04c84e4, 0x7cd2c4de, 0xee153f40, 0xad28573b, 0xa3682088, 0x580e1fc7,
+    0xbc2a7571, 0x460cefc0, 0xc6a8eceb, 0xe9310bef, 0xad996e42, 0x8dbb192a, 0xcfa8be67, 0x2c7c85c2,
+    0x076d6063, 0x218696d8, 0x1d02630e, 0x9aadceec, 0x7b230bb9, 0x8ee61391, 0x567f8160, 0x8e0bf176,
+    0x0f726a7d, 0x06075c5f, 0x3f2d6278, 0x7b4e7dff, 0xcc96a693, 0x0110baaa, 0x0601b577, 0x278addc0,
+    0xe3a36690, 0x5a3999ce, 0x7db3c546, 0xaeafe08a, 0x0b392805, 0xe8281a43, 0x146935a5, 0x1eae86a5,
+    0x1ca9faff, 0x66373364, 0xde74c090, 0x284ea108, 0xd240a5fc, 0x5e292ace, 0xe883bb84, 0xa55c8a38,
+    0xeaad6704, 0x120dc96d, 0x03799ccb, 0x4aefd127, 0x1e333882, 0xcc3bbba0, 0xec38559c, 0x0173c918,
+    0xb2a176b8, 0x750f3d29, 0x7f19e57b, 0x79562440, 0x57f21ff5, 0x451d43fe, 0xc7e2efb2, 0xed061dd7,
+    0xdfce0c27, 0xf3060d38, 0xe586b7d1, 0x13d60745, 0xbacb09bf, 0x53ec15c6, 0x6fb2f7a5, 0x24603776,
+    0x8bf4396a, 0x8016f97b, 0xa0d4fa7f, 0xea7c62dd, 0xc10fbd44, 0xd70257c9, 0x5647cd91, 0x775a3e7c,
+    0xe31a89dd, 0xf3b3b6a4, 0xcdc53adc, 0xbb455ed3, 0xd1ed9188, 0xf4d5e657, 0x549320bd, 0xe57b88af,
+    0x7c12562e, 0xaa68c8d2, 0x005c726a, 0x56534f08, 0x3df8e4d4, 0x210673c1, 0x6b0037bf, 0x9cee97e6,
+    0x12fdb688, 0x9cbf591a, 0x4b71a052, 0x4df3f60a, 0xce8dd85b, 0xcdc829af, 0xc9104083, 0xceca9bca,
+    0x75c38b6b, 0xbd732f0e, 0x92f19b10, 0x3c6c7976, 0xc6af2181, 0xe77b5337, 0xf3c971c6, 0x1cfe3a0f,
+    0x23322e08, 0xaaffe135, 0x74e00579, 0x43164230, 0x3c359c9f, 0x3217e37a, 0xeececa48, 0xa41e0715,
+    0xbc09bec6, 0xccf1b365, 0x9f6547d9, 0xb13f08ea, 0x93552017, 0xa96c5bc0, 0xd77e65f2, 0xa03cf122,
+    0x209dd87b, 0x86feea28, 0x10cd6996, 0x241bf105, 0x56c2e737, 0xe3b16529, 0xe3118c70, 0xda235e3e,
+    0x51c9aa30, 0xfcb486d8, 0x275416ec, 0xf8e88272, 0x4ffa0e00, 0x7dad5800, 0xa13a7577, 0x339e2e44,
+    0x8c561089, 0xbaef19ad, 0x92ebcfb7, 0x7068b801, 0x19c1e6e4, 0x883a2903, 0x70070b5a, 0xdafa79b2,
+    0xb6346fa7, 0x1fa0cd4e, 0x84c19cba, 0xcfe8d061, 0x09617b47, 0x01daf056, 0x82ee9742, 0xad98f231,
+    0x27d4c24f, 0x6b408faf, 0xb06a6c7a, 0x8976e1ac, 0x7d054161, 0xbef44228, 0x8e9e8989, 0x6009e928,
+    0x6f905ae5, 0x5e2c73da, 0x8a98da48, 0xccb59719, 0x8f2a693b, 0x5c54c46a, 0x815bd142, 0x15753f61,
+    0x8b2990ee, 0x695f9b44, 0xca4dba2d, 0x9bd1735f, 0xd59a185f, 0xcd00e525, 0xc106adf2, 0xa7de507a,
+    0x0d975c2f, 0xa17cd22b, 0x19987784, 0x04409b63, 0x1e94da3c, 0x596b246f, 0x5b5d5ba8, 0xfe3bb12d,
+    0x559d8f23, 0xef9ef985, 0xee1c15cb, 0x51366d61, 0xc1df92b9, 0xbcd1788d, 0xcecd4568, 0x39167186,
+    0x2e1d1fa9, 0x5b362e0a, 0x40a0881c, 0x4ca4b58b, 0x727d9070, 0xba2a9ec3, 0x05e3418b, 0xb625eef6,
+    0x43c4946f, 0x5197f601, 0x5b31ed1b, 0x290884fd, 0x518682f2, 0x1fec28d9, 0x527d1185, 0xe50aaa91,
+    0x87186782, 0xf8b308de, 0x2ea8ee30, 0x7405e676, 0xfce568de, 0xaf8c8578, 0x97956371, 0xf4c6f7e8,
+    0x54392354, 0x467354bd, 0x60812f63, 0x117b9862, 0xe584c347, 0x64d39cf7, 0xd0374a57, 0x0b47acc3,
+    0xaef8b484, 0xa1723b8b, 0xba6ef8ec, 0xfa697e5f, 0x63c6ccd5, 0x0085f209, 0x4599617e, 0x1ff84b09,
+    0xc633ac03, 0xbf5da95d, 0xdcd324e2, 0xc52a8d17, 0x4f636bac, 0xf2dc5907, 0x4710bf72, 0x645fa7a8,
+    0xdbeb8e72, 0xad5ed30e, 0xada6c6b4, 0x850ce463, 0x36cfaa48, 0x6ef53c6e, 0x4be52f5f, 0x486aa390,
+    0xc7e74a42, 0x802a5f3e, 0xcbf8dfac, 0xc991a283, 0x7de8b721, 0x77f16583, 0x485c6b2a, 0x86528cdf,
+    0x50d360aa, 0x78de15e1, 0xfbe309d3, 0x3e438ba1, 0x20c05c1b, 0x23287a99, 0xbbc8eb76, 0xa3688f82,
+    0xccac39f7, 0x209f0ca4, 0x8cf01f75, 0xfb8f1abe, 0xf397e52f, 0x133013e4, 0x0c13b36f, 0x06d8fe22,
+    0xb93d8096, 0xd769f3df, 0xd15ab13b, 0x93fa0969, 0xbd0730cc, 0xe9beb819, 0x203c54e8, 0x016b7426,
+    0x8a2a83fd, 0xe9cc928b, 0xff67c40c, 0xc7ba0e5f, 0x03ba8ef2, 0x84d2053d, 0xe83a6958, 0xd761e29c,
+    0xb33072a3, 0x4c5ab845, 0x51db527b, 0x172ce004, 0x2c7236eb, 0x26253809, 0x6013bfa2, 0xc2385474,
+    0x5aa18e32, 0x47fd5d41, 0xa063a05c, 0x1f653815, 0x8aff4f62, 0xfaaf93d0, 0x0e4b3dce, 0x03f5a79f,
+    0xaefef988, 0xf9da7f1f, 0x105f2a0d, 0xaf602825, 0x5ae9f7a3, 0x9e504dee, 0x83361f0d, 0x70adaaeb,
+    0xff4a5826, 0x4d53c17b, 0xc3e1ea96, 0x5d16e85e, 0xd96c91f0, 0x6d3d6849, 0xcf54b79d, 0xada8bb54,
+    0x10aa4f8a, 0xd20b2f6b, 0xef2003b9, 0x159a3ce5, 0x729bc430, 0xd721a1fb, 0x0ad8cd36, 0x1bedd04c,
+    0xe200e338, 0x95478c3a, 0x0df6e6ab, 0x09e91f6b, 0xa1cf3085, 0xb3360091, 0x64aa8a47, 0xc4238292,
+    0x55c5e939, 0x97768d15, 0x43e10599, 0xc59d62b0, 0xae7b0eaa, 0xc878efe4, 0xea9ec325, 0x6227e815,
+    0x0a82e047, 0xe51f2871, 0x89ab4c2f, 0x6e40abe1, 0x4b418765, 0xed3e81c3, 0x29055a8d, 0x80b1330e,
+    0xc521b57b, 0x149da85e, 0x51be011d, 0xc7a11576, 0xad33f6f2, 0xe7b6ca6a, 0x945b138c, 0x4fa80a4b,
+    0x03c377aa, 0x02b90f12, 0xe54a5003, 0xa69dd6bb, 0xcd5a4388, 0xcf52d54d, 0xd3909dd5, 0x4bd747f3,
+    0x99eaeb92, 0x34211901, 0x08eae716, 0x506eda67, 0x778fbb56, 0xcbb7c493, 0x965ad64d, 0xe7974ceb,
+    0x3c63881a, 0x162017a6, 0xe41af2aa, 0x111067d9, 0x194113d6, 0x16c834a1, 0x9d61ff80, 0xa3b8b44e,
+    0xe24a697a, 0x47815390, 0x2f97daa0, 0xc797c808, 0xbb5e4ac6, 0xaec4c4ae, 0x562eda06, 0x87884975,
+    0xa55689dc, 0xf0d062ed, 0x9d91ec6c, 0xe2391891, 0xf7dd0e91, 0xb6a8c63a, 0x7d19604b, 0xbca09c55,
+    0xbf11e6e9, 0xb7a63d3a, 0x6b777dd2, 0x4bbcf0e0, 0x32d59a8f, 0xb9983597, 0xf2a09afb, 0x514a2e3d,
+    0xc636947f, 0x4091490b, 0xd340e13c, 0x840c66ae, 0x4e17ef36, 0x004e4767, 0x5ad2f83e, 0x11d001b1,
+    0x26961ec2, 0x5c360504, 0x11ab8165, 0xc53afd35, 0x2529966a, 0xd012062a, 0xe8ff3549, 0x31d46ca5,
+    0x46b24e00, 0x7496bc7b, 0x3f881823, 0x408b7c07, 0x9bf8359a, 0x806f5419, 0x63780de1, 0xf8ff1fa1,
+    0xd0eed0cd, 0x2d279e0a, 0x8302b483, 0x72cccc0a, 0xd8355a4e, 0xa2a8a1db, 0x1df300bf, 0x5cf8d0d1,
+    0xd827a1d4, 0x1859f060, 0x50c13389, 0xe1613690, 0x1e51650c, 0x9dea4b63, 0xd4432a02, 0xabbf971d,
+    0x37459061, 0x7be3d0fd, 0x5a3cc949, 0x4ab6856d, 0x27ddaf98, 0x8f77e0fb, 0xadfd34d0, 0x6cf4aae9,
+    0xddfecd82, 0x24013c38, 0x50a774a0, 0xc07bd9bb, 0x0e4b1071, 0x7dfafcf8, 0xc62e3b9b, 0x5b9e1398,
+    0xee82a7f2, 0x4e5595a0, 0xcda3aab0, 0x0acc0070, 0xb1338e57, 0x26f15f7f, 0x873c3459, 0x7877d70f,
+    0xc5729da6, 0xf83973c2, 0xc3c6a957, 0xb543e612, 0xba948443, 0x74406fa3, 0x727a8d93, 0xda6a4425,
+    0x00a22b56, 0x1788413e, 0x0062c850, 0x7f2730c1, 0x99afa373, 0x061f92c8, 0x6109b9a2, 0x68b3db9d,
+    0x22dd3464, 0xaf1ef27d, 0x4ee1e5a9, 0x3665a391, 0x6bf280ca, 0xe6b60ecd, 0xb3d5b12a, 0x02fc8ac8,
+    0x18a85ca4, 0xe7d68d34, 0x1610e7cb, 0x67d24c6d, 0x81b304e6, 0xbec95d7a, 0x4bc8350c, 0xb077527a,
+    0x748093af, 0x1ff62e32, 0xc3109af8, 0x4b92622e, 0x486281e6, 0x751a5168, 0xd9832b7e, 0x6a095a32,
+    0x3d298500, 0x69e7bd2c, 0x2687384a, 0xdabba9d4, 0xdd2084c6, 0xe2d99e2b, 0x0f90f8e5, 0x841cf7f1,
+    0xa4e11b08, 0x99e06d24, 0x12513f86, 0xc477c5cf, 0x345d9ce1, 0x7200ef99, 0x8a55d0c5, 0x3cf04520,
+    0xc30b541c, 0x7e0843f8, 0xa60c718d, 0xe7b6061f, 0x5c8710fd, 0x7116d69e, 0x37a3a234, 0x62fcc9ad,
+    0xa059a38f, 0x97905f5c, 0x0f896754, 0x61d46da9, 0x4fa4e2da, 0xc2058468, 0xee559776, 0x4c947fc4,
+    0x3aaf1024, 0xd20a2b47, 0xa44197d9, 0x10e0cddb, 0x298b492b, 0x32f2ba63, 0x8c69fdae, 0xa3ee1116,
+    0xc07eb379, 0x6a31b64f, 0xbfd17b55, 0x8cff0c3a, 0xb08624ff, 0xb9b28f5b, 0x8756f3fa, 0xaaaf3bd6,
+    0x3806c32e, 0x67abf738, 0x4a59cb04, 0x0f2ee030, 0x47009ca4, 0x10141d16, 0x9aa0c4de, 0x268ff3af,
+    0xb1985536, 0xf11359a8, 0xcd29ceff, 0x19f08782, 0xa49ac21c, 0x3e86a191, 0x302543e7, 0x14f0395e,
+    0x9f9e3c83, 0xcb83d43a, 0xe1534385, 0x8bc32677, 0xe9719233, 0xe28d8d8f, 0xa75701b1, 0x440a0f45,
+    0x740979df, 0x89dcd210, 0x9ce2cddb, 0xe50b1c8d, 0x089d7ad8, 0xcd7c9482, 0x9a2a4220, 0xc360ece0,
+    0xdc25d509, 0x594a44a7, 0xe9f4b95a, 0xd7120d0b, 0xa8384a81, 0x08606259, 0x7ea49ced, 0xc27f8c94,
+    0xdf25b5b3, 0xa5dc210a, 0xdd2f192e, 0x8fbca473, 0x44409de1, 0x8569ba81, 0x9ecbebba, 0x8b787cd0,
+    0xa90a39c4, 0xf867c247, 0xd8798ac6, 0x7aecdfb6, 0x684036a8, 0x51b7db73, 0xe5b6cc2e, 0x702dee04,
+    0x8b6edfc6, 0xe9e5c4e6, 0xb2e486c3, 0x0b9688ab, 0x8ca9d4dc, 0x83479a7b, 0x5ae9874c, 0xb4759285,
+    0x52792b3e, 0x29806a16, 0x79f98c6e, 0xfc2f40cc, 0x9fcbb789, 0xacfc762c, 0x6e9e7407, 0x9ce4c012,
+    0x9da687ee, 0x12e9df43, 0x600da745, 0xd225f314, 0x2b8e0a88, 0x5a49d57b, 0x7f49817c, 0x25039128,
+    0xf45fdcc6, 0xc272cdc1, 0xf0f63bbc, 0xdb76cea3, 0x56cca451, 0x628f135f, 0xac82f77b, 0x5ed91709,
+    0xc704cf6f, 0xc9ebb55a, 0xcb55dd3b, 0x3eea30fd, 0x405163ef, 0x8259b455, 0xdc41cfe2, 0x37d73c36,
+    0xc1c64617, 0xf39c7caa, 0x52c0e0df, 0xf5a667a7, 0xf7f3506d, 0xe9e0421e, 0x6cb8f027, 0x29309729,
+    0xe391130f, 0x82192e75, 0xc5021412, 0xb9e2ac1d, 0xf24852c2, 0x3db37a61, 0xbd3a2e00, 0xadb27a4b,
+    0xfa506903, 0xc6bc469b, 0x51d20978, 0xc77c2954, 0xdf0cbb8e, 0x33d1cf06, 0xcf29bb38, 0x8cde8a3e,
+    0xb22b9cd5, 0x6794ec10, 0xd38e83a4, 0x43a6d4bb, 0xda5c6434, 0x55891b37, 0x1978268c, 0xc212d40a,
+    0xa6588820, 0x6afa8539, 0x0de6a9cc, 0xf1136f56, 0xe11235e5, 0x047520ff, 0xb781c568, 0x7cb99cca,
+    0x6836683b, 0xbcfc9a0f, 0xdc13a6eb, 0x996e91d6, 0x7c8077eb, 0x1bca3936, 0x2c34e1eb, 0x9dcdbf75,
+    0xfacff87e, 0x358e11bc, 0x98a8478e, 0x90853af2, 0xa06c11d1, 0x4ff40a16, 0xc7b03ce3, 0xb8500414,
+    0x27d26833, 0x6fbe86f3, 0x97047782, 0x6b0892ae, 0x170c18a4, 0xc2505b97, 0x86254e20, 0x016828d9,
+    0xcf4c71a2, 0x78183676, 0x05e8f964, 0xd9de8deb, 0xec50d127, 0x668eb132, 0x6c3ccb44, 0x3f69598c,
+    0xdd40a2f1, 0x823dcccc, 0x3bcd1a27, 0x83899989, 0x39c24939, 0x4c38ae25, 0xcde086dd, 0x45e0fc72,
+    0x31f760e6, 0xa5876a92, 0xb56ca9e6, 0x0ba8d887, 0x57c1cedc, 0xb74bbe72, 0xc91d72c9, 0x1d06bfb5,
+    0x041b3fe8, 0xc22ea241, 0xa8e21bcf, 0x7e18690a, 0x603502ec, 0xc0593b33, 0x67dd9f91, 0xcd4a8cb1,
+    0x4a8652b7, 0x7930da82, 0x45e4fdb2, 0xd8466b4d, 0xa533b95b, 0x7f2c652d, 0x506bfd47, 0xbe1c2296,
+    0x154fa668, 0x6339b18a, 0xc6ddaf30, 0xef697b52, 0xcb2d6910, 0xbdd5abc6, 0xa7a09eb7, 0xc477e584,
+    0x7fa39723, 0x9b486f30, 0x2b635f2c, 0x00b6c7e2, 0x7ca5b50b, 0xbc4de269, 0xb09d7530, 0x1a671407,
+    0x14b266d0, 0xeb97b0c7, 0xeb6bd38c, 0xb69039d7, 0xc307d5d4, 0x868a22d9, 0x63ed80ba, 0x630c3dc3,
+    0x563a3a7f, 0x7803168d, 0xbd2c60c0, 0xac4fa2df, 0x36d251ef, 0xba087d7d, 0x4709cf0c, 0x992253da,
+    0x00000000,
+    0x5e853d78, 0x682a938a, 0x5c18b83b, 0x5e042c45, 0x0f4c5f33, 0x2a6fefa3, 0x8a562dc9, 0x75403909,
+    0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000806953086902158934267474741250941210728033\
+                          06025913234775958104891895238188026287332176417290004307232371974124148359168 */
+  { 0x00000000,
+    0xd7625b4c, 0x55763047, 0x55f5e6f8, 0x9f0d8467, 0x333d05ec, 0xe2999262, 0xf0cb8636, 0xeb12e43a,
+    0x84426a05, 0xab820486, 0x2d8800e0, 0x8e10f8c5, 0xff6392a1, 0xcf5c709d, 0x2c98a3f2, 0x36ac1e82,
+    0xb015d196, 0x58b3e147, 0xd7e0dfbb, 0x235ec99d, 0x5eb9387e, 0x84235beb, 0x4d4e60e9, 0x41a48757,
+    0xff5e161f, 0x8d8dc423, 0x07d21875, 0xcdfaa433, 0x839e23a9, 0x3243c90b, 0xb78dec90, 0x855e5c91,
+    0x44263cfa, 0x198a5aee, 0x61e30da0, 0xc19555cb, 0x442a7262, 0x1922f572, 0x8d93336d, 0x83489fc8,
+    0x809b1e63, 0x4b489fb8, 0xcfdc05f5, 0x4987da9c, 0x95ae2b21, 0x7d0ff005, 0x60030db8, 0x8013c950,
+    0x53902480, 0x0d1e7fbf, 0xd8dc0f85, 0x21b79c3f, 0xd3cc9a8b, 0x9bdb66ce, 0xb9a40c43, 0x6e48e2b2,
+    0x52745979, 0x3deb7e3f, 0x84c2291c, 0x94261134, 0xce8bfa00, 0xe3d24dfb, 0x0551bb5f, 0x45e9810b,
+    0x51cbbbde, 0x677aa7d2, 0xc979ce55, 0xc94eafdd, 0x66ad8273, 0xf37be19a, 0xbf097ce1, 0x689a1603,
+    0x0c454ac5, 0xf1155ff3, 0xcdbd70e7, 0xd4edd00b, 0x28a2187c, 0x1f1b0c8a, 0x953eb4a4, 0x391c5c6d,
+    0x65b47deb, 0x1c567b37, 0x63a457ba, 0x0923bba1, 0xe456a1ee, 0x7dd0056e, 0x94b8ca1a, 0x9d05dd12,
+    0x54122c58, 0xc96952a5, 0x1450b16e, 0x7b5d6cba, 0xcd91a080, 0x788f164d, 0xb23f9663, 0x3dc02d54,
+    0x32254b68, 0xa4b512d0, 0xf71ce96a, 0x51322721, 0x18ae8ce4, 0x7bcbb030, 0x081b48ed, 0xdb7bdf84,
+    0x4bc04175, 0x48fc5ab9, 0x31b741ce, 0x0f580372, 0x81481506, 0x56d8b11e, 0x825d42e5, 0x1286fd53,
+    0xf7810d05, 0x4fc5bf12, 0x7937367c, 0xd641a516, 0x97171a8d, 0x9221e52e, 0x5448b29e, 0x6886b65c,
+    0xc6959a1b, 0x28793b08, 0x141004bc, 0x1290e8ea, 0xb2fb1d80, 0x53e9b9f0, 0x3e4eb37c, 0xdca3199b,
+    0xd53aba3d, 0x39f84489, 0xdbac7ed7, 0x7c5552a5, 0x29f0237f, 0x044e92ea, 0xef810f3b, 0x1a11db02,
+    0xccb464ed, 0x0612a126, 0x2a4a5f04, 0xdac30e98, 0x55a63e6f, 0xcef94dc2, 0xb655afb1, 0x82ead56b,
+    0xb8128d11, 0xbabdc6d0, 0x6ccf2e90, 0x1bda55ac, 0x3c5840ec, 0xf0f059a6, 0xfcbd3422, 0x71ec8100,
+    0x06109431, 0x4078c203, 0xf9514c90, 0x741ca418, 0xa77d8f62, 0xcc95f1f8, 0x1fa5c39d, 0xd2f72927,
+    0xbca0ab66, 0x8b36b4c8, 0x791f0758, 0xd54a2eb8, 0x32deb1c2, 0x097ed757, 0x480dde70, 0xe08a0fa5,
+    0x82969803, 0x0644e525, 0xbf07414d, 0x319ea734, 0xa303e8ac, 0xcd7f3efe, 0xb376acea, 0xf13d608e,
+    0x74900cc6, 0xb068ec3f, 0x3de2dbc9, 0x8311eece, 0x2388c968, 0xa018dc93, 0x7a135e45, 0xe487fdfe,
+    0x5839efd9, 0x9f4d40c8, 0xcd0b7df5, 0xccc076af, 0xe43b2e7a, 0xf6480d3a, 0xaf2bba0b, 0x647f3cc0,
+    0x05495456, 0x11ef0526, 0x2716bed6, 0x403d9187, 0x97945eb4, 0x877cf057, 0xe5f9ec53, 0xcd84d341,
+    0xbb99cb1e, 0x7a192cd6, 0x6b209e4a, 0x6f7822eb, 0x2284416a, 0x4728097e, 0xc2e09f94, 0xcf4eed5f,
+    0x7b548363, 0x53fabd96, 0x333cbbf6, 0x5e3c64be, 0x941ff99b, 0x44b8d9c6, 0x6e096ab2, 0xf954482e,
+    0x1bd89c31, 0xf1087ab5, 0xa7865959, 0x872aa71d, 0x0ae36574, 0x45f99444, 0x145a5af2, 0x8d3c2dc2,
+    0xe602b4ec, 0xe13bb697, 0x47c9ac34, 0xb2a5e942, 0xf1be009c, 0x86d83f7c, 0xd5f553ee, 0x7c87aad5,
+    0xc494f4f0, 0x78c31905, 0x509e4341, 0xca33fb67, 0xa5cbf777, 0xac170928, 0xcb93a3a6, 0x52404277,
+    0x48eba75d, 0xa7201cc4, 0x46dbb5e5, 0xbc90990e, 0x7a97fa1f, 0x6b5f0bad, 0x42bc445e, 0x51adede6,
+    0xc5619fcc, 0xd1ac4a3e, 0x5b7d1ecf, 0x4d700d8d, 0xe54e10c6, 0x8004e63f, 0xa4a41f53, 0x976e0101,
+    0x76a72aee, 0x9f64bf38, 0xc83cde51, 0x5cee85f3, 0xe66815cf, 0x0ada3dc5, 0x25c7883c, 0xbcc7d68e,
+    0x2ba9983c, 0x7f2be2cd, 0xff197087, 0x9570857f, 0x5303b258, 0x770b2fac, 0x78d73863, 0x6e65041c,
+    0x37408426, 0xb778b6ea, 0x3882d0ae, 0xccec88b8, 0xd9709a3a, 0xbaade043, 0x6caf2b29, 0xcbe566df,
+    0xb3c29540, 0x8afa7b84, 0x1308e7f5, 0x7f7f6f45, 0x4126d1ea, 0xe1c3195a, 0x1dff10a8, 0xb15b2898,
+    0x45756b81, 0x7f7dcb83, 0x8147fd3d, 0x6d17f8f5, 0x7cc8a856, 0x244be499, 0x6a57fa2d, 0x66f3c475,
+    0x85ace40e, 0x98b34af6, 0x1c036ad0, 0x47e2fd85, 0x766c2492, 0x6ef1ac22, 0xdba97ff5, 0xb5a8b20c,
+    0xc7ebec9a, 0x2c6b2f85, 0x9f6a7968, 0x4ed5535f, 0x817447d7, 0x6fb57c84, 0x97a0ba81, 0xf8344585,
+    0xe1b2e79d, 0x8730c0fd, 0x56f68f17, 0xaef1ccc9, 0xce9f92eb, 0xa9b21c29, 0x01bbd723, 0xe280fbb8,
+    0x174cf210, 0x757e462f, 0x8b5378fa, 0x055259c8, 0xd72812ac, 0xf57a0521, 0x24a0d09b, 0x57eba2f4,
+    0xba229abe, 0x53c58d32, 0xd474d238, 0x116bf087, 0xa1be6e7c, 0xea9fb4f8, 0x492f7ab7, 0xb4843887,
+    0x9419b52a, 0xcff90631, 0xff6887ad, 0xccecde8a, 0x5c378d01, 0xcb67f043, 0x74ef4115, 0x2b3792a0,
+    0x0d9a958a, 0x7ffb40bc, 0xa6fe7956, 0xb6ab1fd3, 0xeb0c5053, 0xb26697d4, 0xf35b8b3c, 0x91f7e053,
+    0x9997dece, 0x0041c67d, 0xea0426ab, 0x3eef0cbc, 0x6f6a43c1, 0xb57026fc, 0x11c60bdb, 0xfc18aec8,
+    0xe84d5e01, 0x23c42c7b, 0xf791c9e9, 0x28c4b6d9, 0xdba2565d, 0xd66dbe3d, 0x935ba878, 0x1e454d16,
+    0x15355454, 0x27642c78, 0x1ef6e52d, 0x245e2993, 0xf5cf2f2a, 0x927b6b58, 0x0caaa5ab, 0x979cca15,
+    0x5ae3b874, 0x1777052c, 0xac92db49, 0xc11cfc70, 0x4991eeaf, 0xe12ed7da, 0xd0e458a2, 0x35adfe09,
+    0xb088d1b4, 0x60c9b9b6, 0x471fcd98, 0xa71d94a8, 0xa067ee74, 0x84ea2d70, 0x01507570, 0xafb14ea4,
+    0xee2ceb0b, 0xb70e67b2, 0xee47d760, 0xf14ed70c, 0xb80897f3, 0x7f5792b2, 0xb0aff38d, 0xe46dd13e,
+    0xc22f079a, 0xa4bb474b, 0x51d7dad5, 0x3fb7c37c, 0x569a3fb9, 0xc86b3b6b, 0x7219b16d, 0x347ec078,
+    0xd9661bbe, 0x6f15036b, 0x77d25c66, 0x88320d16, 0x651d74f2, 0xdbfa6c30, 0x0c46b5bb, 0x9b8a43e9,
+    0xd504aa79, 0x72285ad5, 0x35211843, 0x0588a3bb, 0x39a984c6, 0xe6c72416, 0x77a99bba, 0xcc14bc8d,
+    0x6abf38d3, 0x3c81904c, 0x3b8ba19d, 0xa029967b, 0xaeaa53aa, 0xecc54186, 0x571fcce9, 0x8a6d0ff4,
+    0x5cd1cede, 0x755b2170, 0x0e8cd162, 0x3f0a1bf2, 0x1ed1a653, 0x550d55ce, 0xb4ecd202, 0xc960ae13,
+    0x0d5ec0d0, 0xbb3cd454, 0x6cd57c7a, 0x3bcd920b, 0x8fa5daca, 0xc9c61312, 0xf3fdf263, 0xe68bb8f3,
+    0x3152fe32, 0x9433f861, 0x56a9e877, 0x208e6fed, 0x7595070b, 0xd4534955, 0x5ed145ec, 0xfc58cb58,
+    0xebc0a300, 0x9a7a73a4, 0x2327b21e, 0x725af4fc, 0x2d7d004e, 0x63599b1c, 0xd5b25d58, 0x104a697c,
+    0xe0c8e1c0, 0xd245f015, 0x4f1e89d5, 0xbd006c84, 0x2cadbe7b, 0x829ba0c2, 0x2002f242, 0xcaad02a7,
+    0xfdfc3287, 0x0b5fe647, 0xdc9df649, 0xc6a034a1, 0x33a4b539, 0x196d8f7f, 0x005220ed, 0xee9ec302,
+    0xbe99ef2a, 0x6bccf6ff, 0xcd1fe390, 0xba7302a6, 0x16a04913, 0xd489eab4, 0xdedae2be, 0x3533a429,
+    0x6cd5862a, 0xedb42180, 0x1645d7c8, 0x9a323095, 0x3c168ced, 0xdb80f979, 0x2d97fb91, 0x87ff07b3,
+    0x0354a5aa, 0x07caff55, 0x1dd14bec, 0xbd4296fb, 0xdc2519b2, 0x2ca2151f, 0x432b013f, 0xd5fd367f,
+    0x09802263, 0x620900e3, 0x6af649b4, 0x19cc601a, 0xd669fd05, 0xdfc72fd8, 0x512cc517, 0x0c6bd0e7,
+    0x671c7fea, 0x04629f13, 0x457cb97f, 0xb773e924, 0x2dda49d5, 0x3acbecd8, 0x510bb410, 0xa84335d8,
+    0xb499eda5, 0x4a3b9dae, 0x4356b66f, 0x92f69666, 0xe41a4c01, 0xd80fac24, 0x03e89683, 0x8ff5beb8,
+    0x711144f8, 0xb66f64e4, 0x899f0795, 0x63722142, 0xc923a153, 0xd1e76802, 0x953d3d49, 0x65aabcee,
+    0x8031e4d0, 0xebd0e382, 0x449d26a0, 0x2bc190d4, 0xffc3a439, 0xcb0c10ee, 0x6c685db0, 0xe170b496,
+    0xd01f1d43, 0x9e7ac2ed, 0x90957117, 0x1f35bf5a, 0x7ea769e1, 0x25bff427, 0x1433b46a, 0x5d6b951d,
+    0xfb8ba0ce, 0xa6875378, 0xe3c4bd76, 0x6b33932b, 0x833effc7, 0x64b4a93e, 0xc8524531, 0x5d12b31f,
+    0x4ffad3db, 0x604ac92e, 0x4e72a38e, 0x8d708b43, 0xc9e84f94, 0x4e064332, 0x592111ca, 0x0a0c6931,
+    0x938510c7, 0x84b4027f, 0xeca39979, 0xd91131a3, 0x95aab763, 0x09217e31, 0x8818eadd, 0x2e5e9280,
+    0x882887bb, 0xb9dd9fcf, 0x397ddcd7, 0xdd7ed1df, 0x43122e14, 0xfa356e3a, 0xa2235423, 0xc4cdcd83,
+    0xf1413204, 0xff156307, 0x87149004, 0x6c0af425, 0x9e5dec05, 0x8bfa674a, 0x0345129b, 0x7b1b11f1,
+    0xfff75ae0, 0xa1d6f16f, 0xf487967c, 0xc0b4cbaa, 0x6c8e0e7b, 0xff538432, 0xf19d6b6d, 0x4c830445,
+    0x0e63fd53, 0x3086c92c, 0xeb95c63d, 0xaf579635, 0xabad8b2c, 0x48c7eba7, 0xa20b6568, 0x7fad922d,
+    0xb1e8092e, 0x3093473b, 0x9c38ec8d, 0x0435fb6e, 0xea3853da, 0xb2519434, 0x17836628, 0x94ef793d,
+    0xe58c9886, 0x794bc9c2, 0xfc7f5ffe, 0x8e1ce8b9, 0x7490134f, 0xdced5218, 0x7fabbcbd, 0xd7364ae7,
+    0x1788ef02, 0x32b5f6b5, 0x5149fe18, 0x40cd4161, 0xd50c6076, 0x141cf361, 0xa249fffa, 0xd6f5e685,
+    0xb1a2213c, 0x0de18a27, 0x1610961c, 0xae16f8a0, 0x16217fee, 0x298b933a, 0x9d7dc26d, 0xfc384b0a,
+    0x24fec2e3, 0xe0096672, 0x2ad1770d, 0xda18bcb5, 0x0d6d6ef6, 0xffca3593, 0x84365948, 0xd679bb16,
+    0x57f976d7, 0x52a35135, 0x428f0774, 0x333a69a2, 0xefceee9c, 0x1450819d, 0x42fc236f, 0xb76e94e8,
+    0x7ef62fcf, 0xea87e83b, 0xd369ba1f, 0x94dc4ada, 0x847198af, 0x1313747c, 0xfe7dad2f, 0xc67fa276,
+    0x2417ec41, 0x02f312f3, 0x34b98591, 0xccb236f4, 0x68b13c72, 0xe61deb0c, 0x4335aefc, 0x03db706c,
+    0x54c5b51f, 0x431f2e18, 0x7e9edaff, 0xc5544567, 0x9588b102, 0xf4c1a75e, 0x07be40ea, 0x3cb900bd,
+    0xf63268ab, 0xbd2968ba, 0x67d79101, 0x2c361d42, 0xcbcfb411, 0xd5238783, 0xdb23a9ec, 0xda770905,
+    0x656fb559, 0x07ef515c, 0x7977a731, 0x1b3d5c2e, 0x13a467c9, 0xbb290229, 0xb5555001, 0x615b5ae6,
+    0xe747e5ce, 0x7ea6e342, 0x71aa2adb, 0x25548131, 0x54b51885, 0x6631dc35, 0x8e6c689a, 0x26908265,
+    0x2848a997, 0x1597be57, 0x617ae1ca, 0x1a154374, 0x877a4e53, 0xfc9d57ae, 0x9ace34dc, 0x51d6aad7,
+    0x3770896c, 0x08dec04b, 0x6af5389f, 0x314b4ab7, 0x4f4cf171, 0xe8dfac1f, 0x01d04272, 0xe98437e5,
+    0x8d964ba2, 0x6e5db218, 0xaa7728b6, 0x0c21b4b7, 0x72715cf8, 0x1e0ad8a9, 0x264c5f19, 0xcd4a1f86,
+    0x197e967a, 0xa9c0329a, 0xddbbefc6, 0xbb6c60bd, 0x8adb1b79, 0xb93fc5dd, 0x06aff83b, 0x055fbcd4,
+    0xecaace16, 0x5ab86473, 0x56ffb488, 0x18113340, 0x2a8e3f94, 0x2b987353, 0x9604ae09, 0x50d2cc24,
+    0x24be4cfd, 0x0acb74b9, 0xa844ae59, 0x44ad6a24, 0xf26f01fc, 0xe159620e, 0x37dd9a90, 0xf88f55a7,
+    0xa94c0147, 0xc66b3d13, 0x6e248922, 0x2f3a94de, 0x0326c299, 0xc2eac30d, 0x3146876c, 0x7f897ccb,
+    0x92d854b9, 0xf8324255, 0xa952a998, 0x25092673, 0x12855ccc, 0xc172f3e7, 0x37f34544, 0xac682b8b,
+    0xf63e6fa6, 0x2177578c, 0x1bbc8b6e, 0x93b8e3c9, 0xcf609182, 0xb5508545, 0x653ebddb, 0x6bcc620c,
+    0xb301dd97, 0x0765bd27, 0xb3696b6d, 0x28e8dc43, 0x79acaf57, 0x7d076400, 0x648241ea, 0x102d708b,
+    0xa0f3a8ee, 0x23a4a3c1, 0xf3987528, 0xc054e05a, 0x8432ef09, 0x98a3924e, 0x0f15778c, 0xa44c9eec,
+    0x997bed66, 0x1d610714, 0x19cca872, 0x61f9310e, 0xbc896f29, 0x1fecb3dc, 0x36be3633, 0x99558657,
+    0x9905aa7b, 0x32c2bc4f, 0xc4a2769d, 0x8785db1b, 0x07349aaa, 0xfffb76c6, 0x17ca6a96, 0xe3da2f1c,
+    0x1c1b9758, 0xf2ec677f, 0x436eb991, 0x52a99f8f, 0x790ee653, 0x5943fce0, 0x38d8a71f, 0x2ecf6190,
+    0x2cd29f1a, 0xf8adb986, 0x1f3a5be4, 0x9fc2c841, 0xdb13efd7, 0x04099ae3, 0x298774e6, 0x272e0a12,
+    0x2e8067bb, 0x13dc02a2, 0x89e63f69, 0x10512093, 0x57b526e8, 0x8581351a, 0x3031a223, 0x32796aa7,
+    0x895ee2db, 0x8ece013a, 0x30a048c0, 0x7ed5a9e1, 0x29d84f5c, 0xf32ea712, 0xc3f5efaa, 0x597429d9,
+    0x13d78a6f, 0xea5e44aa, 0x8f8515e3, 0xaf58eb50, 0x8df743fb, 0xcfea54e9, 0xe6eb2c9d, 0x0381d20c,
+    0xbc7e0063, 0x123aac0d, 0xe275cf0b, 0xcc325cab, 0xe243b719, 0x05f15f22, 0x213eba4c, 0xb24a6523,
+    0xe87557dc, 0xfc21aabc, 0xf39f956d, 0x66597bec, 0xeae28ec3, 0x9bf5e60f, 0xce202944, 0x04f0605a,
+    0xb869c610, 0xe2304f8f, 0xa74f0b5a, 0x70de2b6d, 0x6ab5cd4a, 0x9c12abcf, 0x29446759, 0xcd2ff82d,
+    0x8301e5da, 0x6c88e851, 0x55478039, 0x5f903c7d, 0xed0d17d7, 0x4135560b, 0xf02f2ef6, 0x9a9142b9,
+    0x20c56dcf, 0x607036ce, 0xa6498852, 0xde66bc14, 0x6b486b08, 0x85343ea2, 0xce8c06a4, 0x4392fe13,
+    0xe63817db, 0x0c509681, 0x83f64027, 0xfefb0051, 0xd5c1fa93, 0x9eb50af0, 0x2f95b961, 0x914ceeb8,
+    0xc275ef42, 0x6e43bd23, 0x24b2fa37, 0x12acb7ba, 0x3881b080, 0x49f7f3a7, 0xe44c480a, 0x11428403,
+    0xc65e2c26, 0x17616ad5, 0xc972a3c6, 0x8174d238, 0x8fef9836, 0x8e333ede, 0x510b9348, 0x9d5659a7,
+    0x1f9f883b, 0x99c968c4, 0xb88163c6, 0xd1fc7315, 0x2fd34be7, 0xd3f018a6, 0x3ab62249, 0x6168c80f,
+    0xe0b84054, 0xb7a2556d, 0x19d672ad, 0x189fd605, 0x9ef11545, 0xb6fc2246, 0x3e2e0227, 0x34eb8143,
+    0x4beeb05e, 0xc41e15ba, 0x7559b395, 0x790d684c, 0x8b55a0e4, 0x077b20b3, 0xc15f7ed1, 0x6f6a1a48,
+    0xa0e97fc4, 0x5a68febc, 0x6a8792d1, 0x0ede4799, 0x4758da88, 0xd3587ecd, 0xfd43a7b4, 0x816b0020,
+    0x8fdc909c, 0x757f6968, 0x87eadd6b, 0xfa274287, 0x26a2440a, 0xcd455254, 0x0d2d76ce, 0x4704e948,
+    0x15c4978d, 0xdd97510b, 0x9068d4d9, 0x455cabec, 0xaebd9570, 0xc4390e82, 0x241f84b0, 0x74eeab1b,
+    0xbb0d475a, 0x5ad8827a, 0x9c6125be, 0xc8fce7ab, 0x0cc1789a, 0x0c0eb514, 0x11eed937, 0x32647057,
+    0x8b5a3591, 0x0ede4278, 0xf98d23fe, 0xf37645ca, 0x70cf1dda, 0xa858f4a1, 0x16623879, 0x378a0426,
+    0x877b9fca, 0x37e3ce7f, 0xa8fe9b7d, 0xd9745dc9, 0x8bf5063c, 0x26661289, 0xadc7bbe9, 0x662f4a87,
+    0x25f635fb, 0x7c949b13, 0x5a545e27, 0x85103a7d, 0x1f1b3edf, 0x145b7527, 0x07f2c65e, 0xcfb56a77,
+    0x27f453b5, 0xdbabae90, 0x49db2400, 0x998d9dea, 0x0ca8e76e, 0x6d557464, 0xab41bdff, 0xd72750a9,
+    0x00cd82a2, 0xae65e649, 0x53a9178d, 0xf282f31e, 0x65ec1bb3, 0xe1946a7a, 0x0507a590, 0xc5feeb37,
+    0x00000000,
+    0x2f429ebb, 0xb41549c5, 0xae0c5c1d, 0xaf021622, 0x87a62f99, 0x9537f7d1, 0xc52b16e4, 0x3aa01c84,
+    0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000403476543451079467133737370625470605364016\
+                          53012956617387979052445947619094013143666088208645002153616185987062074179584 */
+  { 0x00000000,
+    0xd237b405, 0xb30f3459, 0x9318d7d8, 0x20e6a6cd, 0x23fadeda, 0x558dc3a1, 0xc73b3598, 0x96c7ffa7,
+    0x9d141f6a, 0x44de68ff, 0x281a7508, 0x13655b46, 0x2089f34b, 0x7a81e506, 0x95546a10, 0x96b1af60,
+    0x9b7e8bf6, 0x6c1a22a4, 0x60d81b87, 0xf0ddd5a2, 0xa92319bf, 0x6e0544bf, 0x41ccc7c0, 0xf2770127,
+    0x96d23206, 0xae4a645d, 0x0f471b51, 0x27ad52f6, 0xf095dede, 0x06db8ddb, 0x2d05d115, 0xd229033c,
+    0xa8e0e398, 0xcd709257, 0x00dd674f, 0xdb335ab2, 0x9ea26d14, 0x16efdf13, 0xc361e6c5, 0x694c22d3,
+    0xc6c534b6, 0x8b916b47, 0x2adf3783, 0x9d103b0e, 0xeb3bc821, 0xbf97edb1, 0x66b6074c, 0x70a4de81,
+    0x3c27b6de, 0xa080d0c9, 0x76024c57, 0x96efdc56, 0xc71c95bb, 0xd214ea08, 0xc8a08c1c, 0xd0793c9f,
+    0xb97f6f3e, 0xd1dffcd7, 0xa7d9378c, 0x19eaa3a5, 0x9a11f396, 0x57674ea8, 0xa7dba1ef, 0x47a0be7f,
+    0x18e03af4, 0x47f954b8, 0xe0387dbb, 0x0369d742, 0x3de65768, 0xcaf23d5e, 0xe534b2c6, 0x4b0ab25f,
+    0x6aec9c16, 0x7d5166ce, 0xc13cbc80, 0x619c4d34, 0xc2696fa7, 0xa4ce3dae, 0xd5fe0de8, 0x109edbdc,
+    0xaf1f9268, 0xd8feb733, 0xecccdcb7, 0x26ca28b6, 0xbc85cc16, 0xb146bfde, 0xbb35a1a1, 0x146520f5,
+    0x2c53b752, 0x44503b29, 0x782f3850, 0x97fe5093, 0xe31398f7, 0x2d68c0fb, 0x336e47b2, 0x8284caed,
+    0x22a05e6e, 0x9a3eaf2f, 0x0cef14a6, 0xeb29c81d, 0x8bab9218, 0x598a4334, 0xfbeeeb7c, 0xc2bf626a,
+    0x93d398ef, 0x7002b004, 0x91f86179, 0x590912e4, 0x6320f793, 0x53f3af61, 0x09c93d73, 0x108d450a,
+    0x548ef0a0, 0x9f128753, 0xd2f5d4bf, 0x8bd1a30c, 0xbb69bb71, 0xf73ab7af, 0x5e64294d, 0xb8ea333f,
+    0x1eb9d862, 0xa0e2ae6e, 0x558c0c6c, 0xbc886e8d, 0x23346c9e, 0x8dbc0a51, 0xe29f2088, 0x12bfa801,
+    0x6db6fe50, 0x53dcaf91, 0x600a8fbe, 0x5b6dc1c6, 0x660757f8, 0x7ff0b9cd, 0x031f5e53, 0xc3cbf61b,
+    0xd08bf5a8, 0xdba242e8, 0x310638d9, 0xd4ba8b01, 0xbdf5c35c, 0x89481480, 0xde58f597, 0x0fe26e95,
+    0xdcb2fab8, 0xdd536567, 0xeb46c047, 0xc769ebe0, 0x584dff6d, 0xdf945b06, 0x29754191, 0x49da9c38,
+    0x85409ef4, 0xeb75f967, 0x3849b85d, 0x4a8658ee, 0x78412eb5, 0xe5ada83e, 0xe2c11feb, 0xcb3e3fca,
+    0x6aa586dc, 0x935b7b77, 0x06afcbf8, 0x275978a1, 0x91f0c2c1, 0x92d472ba, 0x7fd6b8d2, 0xaab48a20,
+    0x35404701, 0x29d36bce, 0x57197b78, 0xa8b2c3df, 0x1281fd0d, 0x93bdbe06, 0x55c4803a, 0x426a3723,
+    0x7cc53752, 0x4d8d4caf, 0x6aa39199, 0x6e50041f, 0x81b4b556, 0x2a34940c, 0x6bed0c32, 0x52054640,
+    0x3a840072, 0x80faedee, 0xa8ea2de6, 0x6a2367c4, 0xf2623580, 0x8bd90350, 0xd60bb5b5, 0xe632a2e7,
+    0xca5560a4, 0x40c69198, 0xa2e9fe10, 0x5575497f, 0x844b316d, 0xd55fa8fe, 0x2a7791a8, 0xbf24ad10,
+    0x229ab7a7, 0xb9a87d79, 0x54cc565b, 0x7e8b1139, 0x5dd5b551, 0x2aee7bce, 0x72123e5a, 0xa84e9d25,
+    0xf9a8df1b, 0xb0b2758a, 0xe8868a3d, 0x2f7b50d8, 0x35a4bbf6, 0x5621083a, 0x7f55f83e, 0x39d90449,
+    0x39a2dd1c, 0xf2495748, 0x5ceee54a, 0xfb025df5, 0xec2bb46e, 0x1516d121, 0x22a855a6, 0xc9d0744a,
+    0xb335a976, 0x32704110, 0x66153c96, 0x7cba1216, 0xb8fbdd07, 0xfb92eb02, 0x066d161f, 0xcdfbc285,
+    0xf3d37937, 0x4ca1ffdb, 0x211cf26f, 0xb2a0b8a7, 0xecd6f59f, 0x27aefd82, 0x28d63d78, 0xc409e302,
+    0xc892dcaa, 0x5cccd759, 0x5483fa37, 0x4be0bfea, 0x1df13d61, 0x67839f3b, 0x77b8b593, 0xc7e298fe,
+    0x911cded1, 0xf0d77876, 0xdbbf62c8, 0xd7184cd8, 0xbb6504cc, 0xaa076bed, 0xe8fe0b0b, 0x3ddde211,
+    0xdc945def, 0x154093fd, 0xce07ee37, 0x8b699b94, 0x5bc49fb6, 0x8d2865a1, 0xc3c0e7e8, 0x6ce417eb,
+    0x3ebbff43, 0xbf2549ce, 0x4dc90dd0, 0xc5832827, 0x0b538b8e, 0x0966771f, 0x2f16ff0f, 0xe01896ef,
+    0xdac421e1, 0x23f5632b, 0x20a957dd, 0x50923632, 0xbe63f93b, 0xf14f5a7d, 0xf4107a22, 0x3125aca5,
+    0x5e7b736c, 0xa72f02db, 0xa142d114, 0xe2b32bce, 0xa86dcfbd, 0xce684a68, 0xfd193c57, 0x50585ff4,
+    0x07fd38da, 0x481f2073, 0x378e933d, 0x8d4181c4, 0xb55100ab, 0x5b337176, 0xc61b03a5, 0xcc99afb2,
+    0xf7f72fe3, 0xfdd6c407, 0x150cdc63, 0x75a244e8, 0xd9bbabc9, 0x3a0e7df1, 0x64f60297, 0x27dabf47,
+    0x31274132, 0xede8de01, 0x4cbbce42, 0x0046428a, 0x0957d602, 0x3e5091b1, 0x3a27c078, 0xbb7da8f8,
+    0xff322a20, 0x4872e5a7, 0x1298d216, 0xf8826833, 0x2ee476cb, 0xb35a7e89, 0xc981fa25, 0x49db3fd4,
+    0xebc41cbb, 0xbe755f8f, 0x489cc152, 0x042ab495, 0x13039e7d, 0x2ac061be, 0xff0ab2ca, 0xf579fa5e,
+    0xaaf8c3ef, 0x0c9e2b63, 0x750c772a, 0x878919ae, 0x8fccd7dc, 0x1bb6a4f1, 0x49616d01, 0x73409a84,
+    0x1d0c49a8, 0x633f342f, 0x3a88ac61, 0x90c5f2b9, 0x92a742c2, 0x1a3cb485, 0x2428c468, 0x3497048e,
+    0x5686d809, 0x515c29e0, 0x638ec870, 0xdd6aabb4, 0xcfe2ad4a, 0x33c93445, 0x209c8902, 0xd64ca1f7,
+    0xb33063e0, 0x286b3f5f, 0x79030d85, 0xcc7691b0, 0x76077f89, 0x04cb77c5, 0xe9096f6d, 0x77aebc90,
+    0xa3d0d1ec, 0xf4354b38, 0x75561de3, 0xb97b96a4, 0x0641f3ea, 0x45abac47, 0x30a54e9b, 0xe1286c9f,
+    0x6d6c70b2, 0x36cb44a0, 0xf742fc4c, 0x424760f1, 0x78609702, 0x39232c6f, 0x0c16c02f, 0x7afcb269,
+    0xf7d5f33c, 0xd9c3dafc, 0xfaba83f2, 0x1d1f89d9, 0x6ec73f07, 0xa46a9032, 0x041cc591, 0x59b3c760,
+    0x436e1a3a, 0x3d49af80, 0x8edc4a4a, 0x5d542471, 0xdf8b8a05, 0xbb3cf2be, 0x47a4f41f, 0xf156f16a,
+    0xeffa440b, 0x83e99fd2, 0x483cc2e3, 0x6094b1e4, 0xa577225f, 0x9f9bc994, 0xfa00f6e1, 0x127309b0,
+    0x44f91401, 0x71f0e7aa, 0xed9b706b, 0x07c07bb3, 0xda56a957, 0xb61080ca, 0xb5190c2b, 0xe17738a3,
+    0xd571cd03, 0xd3e3c5b4, 0x8a3d6352, 0x756d5485, 0x8f4aa5f1, 0x0260e526, 0x6f65b138, 0x014ae04e,
+    0x0f215580, 0x3568e41f, 0x8df81a0f, 0x1ffe99fe, 0x6a5933fd, 0xf2017dbb, 0x7e8954ee, 0xa5f3c67e,
+    0x3600bcf7, 0x66cef868, 0x42749379, 0x0bb30650, 0x49fed73b, 0x05b9b1e7, 0xdc5979d2, 0x1ef29b22,
+    0xb58d0e10, 0x192dc700, 0x8a9b23ce, 0x17e73d94, 0x03defb2c, 0x8df875f4, 0x5c2f1450, 0xa35b4b62,
+    0x71f2d277, 0xdaf441f6, 0xafdbb130, 0xfb7b8e84, 0xfcd4d313, 0x9ce71d3d, 0x24d35b75, 0xbe3ef79e,
+    0x068852e0, 0xc7cbe874, 0x7dc7e4cb, 0x35de2821, 0x8480e6a8, 0xa117d933, 0xd90239aa, 0xde1c12e7,
+    0xb2af45da, 0xc229f7f5, 0x5e78dbc0, 0xcc08b2c4, 0x5ae16998, 0xcfdf954d, 0x2776ee19, 0x8cfe1f2a,
+    0x3552f462, 0x14cefc7b, 0x79d52a2b, 0x17f0c919, 0xedd1c380, 0xabf91b57, 0xa3b4efb1, 0x53939b8f,
+    0xc100a5fa, 0x465fa107, 0x2ed0e2d7, 0x14e3af61, 0x4a08ee1b, 0x717f9d91, 0xfdbeb6e0, 0xf4f7e272,
+    0x38229988, 0xd54d4bbc, 0xa3175841, 0x41ca8cc7, 0x4f1f7923, 0xf04ec15c, 0x6429910e, 0x81e0c401,
+    0x39761f7d, 0xde98a6c5, 0xc6c3f141, 0x98f4510b, 0xaa02e27c, 0xccd4322d, 0x7b8a5cec, 0xd461df0a,
+    0xc79ecdd5, 0x4183a43d, 0x778833f9, 0x5c3f2233, 0xf570f706, 0xee40df2b, 0x7fc93e9a, 0xf75021df,
+    0x1a66eb6e, 0xef873503, 0x0fb780d6, 0x41a9b467, 0xf42a209b, 0xaeb4f4fe, 0x1b969329, 0xc4deb550,
+    0x691d4cd7, 0x37632517, 0xe22da895, 0x2c250e14, 0x8b772ffa, 0x711237fa, 0xda18b708, 0x4b473fe8,
+    0xbe2796b9, 0x917f21dd, 0x76bafdfe, 0xc2c28b40, 0x380a4521, 0x64e033d0, 0x90c124a9, 0xefda5255,
+    0x2ac48097, 0x149bdf3e, 0xe819f6c4, 0x4135bb24, 0x070128da, 0x59136963, 0xf93ed24d, 0x80d4dc34,
+    0x9bb252b5, 0xb3c2347d, 0x2bce7561, 0x1a7c16ff, 0xaf8a898e, 0x158b51d3, 0x00190451, 0x3e01f404,
+    0x2d31e7c8, 0x7d1df6c3, 0xbd8a844e, 0x30e4b0ee, 0x2a30c2ff, 0x4cbb8a06, 0xf9042b94, 0x3071d7d7,
+    0xdec0a4a8, 0xb29a4312, 0xab556389, 0x7f9a7e98, 0xdb941d3f, 0xc36ea7cd, 0x3b29f781, 0x7ea18301,
+    0x5ff3087e, 0xcfd89534, 0x3bc8a08f, 0x3f7b8796, 0xa776dc85, 0xff6fed23, 0x06178ccf, 0xe471291a,
+    0x66c00154, 0x1acc1f0e, 0x438e9216, 0xacbc47b3, 0x21bc657e, 0x72f1f6e3, 0xd7cb2a74, 0xb8148354,
+    0xff998efc, 0x4b15a6aa, 0x743015ef, 0x04361a25, 0xab4d7869, 0x44ea6e46, 0x68a06811, 0x5cff361a,
+    0xcd9610c4, 0x93569970, 0x4e3f172f, 0xdb220cbc, 0x3442cf5c, 0xcb25c3c3, 0x96ef6607, 0xd80800b8,
+    0x97c949c2, 0xe611b21d, 0x24263d75, 0xbfc91502, 0xd67dcbb5, 0x3329395f, 0x4052fe50, 0x282cf014,
+    0x15814ddb, 0xd3158d40, 0x534d52a5, 0xee93aae5, 0x5c909966, 0xf70c802b, 0x94937274, 0xfede5458,
+    0x5620bcd4, 0x16a00c05, 0xe5a99c1c, 0x7bc2af6b, 0xfb8e26b3, 0x666ee315, 0xca1c5fea, 0xbf44f808,
+    0x122bce2b, 0x8104c59f, 0xb49f869a, 0xc18e1f93, 0xf72b2a62, 0x0b1a4d3a, 0x32321e1d, 0x37186dac,
+    0xaf6667e1, 0x88acb1b7, 0xdceeb82b, 0x482675b7, 0x8eba48c3, 0xd8f50e44, 0x5ab59580, 0x2c619fe1,
+    0x5beab447, 0xa055dd92, 0x49b34f1d, 0x4edddf24, 0x7f8e0d16, 0xc1782a3c, 0xe6d1c17f, 0x0fbb6b76,
+    0x9e4fdfac, 0xf636871a, 0xcc52ee29, 0x7ebce53c, 0x1cd0376e, 0xaa0ed7b9, 0x4a450655, 0xc958886c,
+    0x22de4745, 0x8b872d74, 0x8ace03bd, 0xfc188d36, 0xde3766a5, 0xa02b5607, 0x3641091f, 0x805d89b7,
+    0xc7037f1e, 0x53b5f3e2, 0xf8830541, 0x1911fbcd, 0x3aabc81b, 0xef9afaaf, 0x5988170f, 0xf9aa893e,
+    0x01ba518b, 0xa9f9cf3c, 0xceb04a17, 0xbf92070e, 0x439ae37c, 0xd9c1a93b, 0x753f196b, 0xee3425e6,
+    0xe4600948, 0x4c9e91c9, 0x0d821c09, 0x37d5bdd6, 0xe2d7e63b, 0x19f41b73, 0x739552dd, 0xf57086ed,
+    0xe8ff1c60, 0x5c8d37eb, 0x9621114f, 0x18bfa6a3, 0xe594860c, 0x2532105d, 0x13a8520d, 0x3134c148,
+    0x4da9b56c, 0x5b8120ea, 0xb9de6370, 0xedff1c2f, 0xaf8a1afd, 0xf9a9287f, 0x443cf0ab, 0x3020e1d2,
+    0x2f07def6, 0x9d0c9de3, 0x90b45b9d, 0xace67ca4, 0xb8b2f424, 0x43ad996f, 0x2c26a0ca, 0x060c0089,
+    0x98d034d6, 0xfc1c9ccd, 0xb663a628, 0x6f76575d, 0x0e1d212e, 0x34058f1b, 0x5bddca93, 0xc9c986a9,
+    0xd29e5ea4, 0xcbe07333, 0xaf10f8ad, 0x973a7929, 0x5a928f18, 0xa7119367, 0x7c596aa9, 0x5acc15b0,
+    0x461e8588, 0x678cf506, 0x6341b0a7, 0xd1fa413e, 0x01dea7d7, 0xaff13714, 0x74b9d2d2, 0xf23c261f,
+    0x7e6be409, 0x748b1fdb, 0x986fdb87, 0xec83c37e, 0xb13bb488, 0xe41fd666, 0x195210e3, 0x577a6799,
+    0x2299852e, 0x63035e61, 0x1811bc03, 0x4b3ede3d, 0x0c506206, 0x04004346, 0x58d43fe9, 0x890ff617,
+    0xf49f2a62, 0x8f3acaf5, 0xbff1bd9c, 0xef1955cc, 0x5a8ebbb6, 0xb95a6555, 0xfb5ebe69, 0x0ee482b8,
+    0xc24b0623, 0x38bdfabf, 0x1c1f0097, 0x644db5d7, 0xb0025291, 0x3c62c5f4, 0x7f89f953, 0xa6bd14eb,
+    0xd57b7ebc, 0x5cfa7757, 0x47dcc32b, 0xd05cdb4d, 0xee5aba2f, 0xf2c423a0, 0xa13e5838, 0x16e32b30,
+    0xec078ced, 0x1e16e1aa, 0x1f364484, 0x72e89a53, 0x7b023949, 0x7c3674bc, 0xc020a2de, 0x28d373ab,
+    0x62d44686, 0x645e77d7, 0xa60e2281, 0xe39a1c4b, 0xc7e6b3bc, 0x632b5183, 0xde245fe7, 0xa026bdd4,
+    0x78bb0c6b, 0x8fb7859e, 0x7f44ca5c, 0x27910096, 0x400af486, 0xcf38be93, 0x7eed9754, 0xda5bab8b,
+    0xb3040b61, 0xe8e7bee2, 0x78ade5ab, 0xea528364, 0xd8a1f0d1, 0xc6802f30, 0xedf77922, 0xa0b99869,
+    0xa807c82a, 0x2ce0429f, 0x880e7184, 0xefea5ecd, 0x6e33e963, 0x36588841, 0x5f023002, 0x8dc889a4,
+    0x31169059, 0x898bee52, 0x2c2e07d3, 0xbb94f81a, 0xf5b1da35, 0x494383fa, 0x2977d22f, 0x1c2a806a,
+    0x034fe790, 0xd5041e06, 0x1465e25e, 0x909293e3, 0x8f172679, 0x3658d44d, 0xd42a9325, 0x5f50e7af,
+    0xe37be056, 0x99c77ff0, 0x926779ae, 0xc46f1912, 0x7a084c9c, 0xbaa000cb, 0x71282aeb, 0x2d2f27d9,
+    0x0a7767e9, 0x7061d20f, 0x715afe39, 0xb9fb8fc8, 0x5bf9f7d5, 0x93d7b738, 0x8766b1ce, 0xeda0d563,
+    0x52fc61f5, 0xd85fc7a0, 0x7c1757e1, 0x60e9e4ab, 0x7bf342b7, 0x18f392d0, 0x14cbd23c, 0x47855f9b,
+    0x6cda921e, 0x16372148, 0x40673f4b, 0x12a2af11, 0x556077cf, 0x808af8bb, 0x00199ee0, 0x879519f0,
+    0x3694fe97, 0xecf80e4e, 0x345e9238, 0x09edecf8, 0xafd2b143, 0xfd5b06d8, 0x21f3e6fe, 0xbdb2e6a1,
+    0xc1952929, 0xd556630a, 0x7c2f1aed, 0x6a5a1f22, 0x01eb93e3, 0x893c6efc, 0xef891ba4, 0x0bca5713,
+    0x24738590, 0x5c0e7152, 0x982391d9, 0x86bdfcda, 0x4b359eba, 0xd61a5647, 0xa11ff31d, 0xd5a631da,
+    0x784a518f, 0x16a378e2, 0x4f8193c2, 0xede1f032, 0x58997de8, 0xf9d26001, 0x4ca932f4, 0xcfce36ef,
+    0x6c444f26, 0x2c5f2f71, 0x69e55b49, 0xe559b1a9, 0x386f0f0d, 0x987dd9b2, 0xd0adb8b2, 0xba454931,
+    0x78c22de8, 0x3afda952, 0xe1376247, 0xea66a9cc, 0x1aec8de6, 0x8f74f4f9, 0x91e55622, 0x592cdc7a,
+    0x14e948af, 0x65115cec, 0xd988e3b7, 0x9b761d35, 0x83b389a3, 0xaedf9f8a, 0x6f67b393, 0xf3e182ef,
+    0x67e6eb1f, 0x8e7de007, 0xae1c93cf, 0x2a827f17, 0x01e450ca, 0x05cad911, 0xcf099e47, 0xf2be4e80,
+    0x99719f32, 0xe548215d, 0xbb347f68, 0x29a88da8, 0x091b3007, 0x9032024c, 0x73eb5126, 0x577eaccc,
+    0xf78c6a1f, 0x48930f38, 0x4e0e1c9b, 0xa8252875, 0x3b29edca, 0x506ab95d, 0x0e4db492, 0x569bd7d1,
+    0xd7843c61, 0x5b6efe5c, 0xea129bbc, 0x106609d3, 0x11d58329, 0xdaa27406, 0xd70a3eba, 0xc0b1cbaf,
+    0x4e24d891, 0x5f39d453, 0xb39fdda4, 0xebf6e022, 0x6de9f155, 0xd96f3794, 0x4220c349, 0xf407ca2d,
+    0xc542002c, 0x89089cc3, 0x725f6ae4, 0x0277eec4, 0x42ddc4bd, 0xd2d184af, 0x00c60312, 0x4ee8f473,
+    0xcbb5f857, 0x85bdaef9, 0x14ba2a63, 0x35ed9305, 0xc10be28b, 0x26ae9fe4, 0x42a3998c, 0xd2fcf162,
+    0xd6e5aae6, 0xd142ffb3, 0x2f9335b3, 0x818c05a6, 0x4a4772de, 0x0d3ec5b3, 0x0400b538, 0xcfb4568f,
+    0xf7a6a7a9, 0x838d8967, 0x4072ce0d, 0xf956f88b, 0xf2022589, 0x523bfda1, 0xc559a21d, 0xec5f8b50,
+    0xbc5de4b3, 0xb8447110, 0xe466b45b, 0xb41dcf08, 0xc3f232c9, 0x234e197d, 0xf9ba5fc4, 0x184a5f4d,
+    0x23a7aa06, 0xcde02ce3, 0x9da16175, 0xb1e362b1, 0x6bb15c02, 0x0b0ac7de, 0x44af7dd5, 0x3068e58a,
+    0x8aba4440, 0xe7b1fda5, 0xbfd18a84, 0xf49fa476, 0xf9343842, 0xf99de4ee, 0x35c76257, 0x9f324032,
+    0x00000000,
+    0x97a14f5d, 0xda0aa4e2, 0x57062e0e, 0xd7810b11, 0xc3d317cc, 0x4a9bfbe8, 0x62958b72, 0x9d500e42,
+    0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000201738271725539733566868685312735302682008\
+                          26506478308693989526222973809547006571833044104322501076808092993531037089792 */
+  { 0x00000000,
+    0x67042108, 0x19169a9a, 0x8cf63e00, 0x126b2200, 0xa13edafa, 0x2674010e, 0x26799a11, 0x2502b6c9,
+    0x8329b845, 0xc7112f5f, 0x00a97980, 0x1c2e08b8, 0xdd8b902a, 0x45d1be32, 0xbaf8167f, 0x3721fec5,
+    0x86b6b3cd, 0x80573b00, 0xa51f93d9, 0x533e8c73, 0x205537db, 0x2681fe46, 0x3aba1dcf, 0x78ceaa98,
+    0x8b07240a, 0x2d9b236d, 0x3d2e5030, 0xe8330658, 0x3c8ffcc4, 0x567ea0ff, 0x457ae6d2, 0x1f1dd73b,
+    0xe048e85d, 0xd1780637, 0xadf3ca6b, 0x58295491, 0x575cbaf5, 0x96494dbb, 0x4369cbc5, 0x444a9f67,
+    0xfa5fd721, 0x10865ef7, 0xa1953aa7, 0xa726fff1, 0x261d77dd, 0x06e9c576, 0xd7977c5e, 0x3501d50d,
+    0xc3bdfeed, 0x6120711a, 0x84335920, 0x1e959561, 0xc4b2a833, 0x29260d07, 0x38bc1e39, 0x83bf523b,
+    0xb1901fd7, 0x6442ff8a, 0xffa5e192, 0x654c2185, 0x9712c3bd, 0xf99bc075, 0x24a27c60, 0x54434445,
+    0x0d3c6118, 0x275582d5, 0x7d689312, 0x1e96636f, 0x5b72f9b8, 0xf013572f, 0xee41bcdf, 0x388310df,
+    0x0c0ff9f8, 0x07b768ff, 0x8ffd425f, 0x38648340, 0xb131bd3a, 0x1b94b628, 0xa515c80b, 0xa9c44a94,
+    0x4f3f4ac7, 0x34b13fd1, 0x52caccf8, 0x754f0908, 0x22f7ba44, 0xadb23ce8, 0x78a8cd8c, 0xe459d9e2,
+    0xf76ffef0, 0xe95e919a, 0xac689df3, 0x00c2ccf2, 0xdba7361c, 0x52729b7a, 0xb514551d, 0x8a2c5f66,
+    0x8c36700e, 0x50d1a925, 0x12334d99, 0x8b320d59, 0x2b47e680, 0xe2cd4ac2, 0xdbf64d43, 0x8f15e1d6,
+    0xa0931d87, 0x741e855d, 0x3ca8bfbe, 0xaac0f7b9, 0x03541bd8, 0x2b79b290, 0xf68d0e20, 0x6d225258,
+    0x32c4f577, 0xde6ebe8c, 0x0a232ce5, 0x2a1cc212, 0x74882f0a, 0x5c6e115c, 0x4252ee75, 0xd5b91d63,
+    0x8c1b33e1, 0x2285b757, 0x72b7a376, 0xaf7385db, 0xdc470e7f, 0xd995a226, 0xd1c90b9d, 0x40af49aa,
+    0x44199a4e, 0x87b16521, 0x4c312161, 0x4e9544e6, 0x6c411987, 0xf852d3c5, 0x63feddf3, 0x1f531638,
+    0xd0891730, 0x2a2281c9, 0x3a430d9c, 0xeda5b674, 0x13c9cae9, 0xfbc7f12a, 0x2dec01a7, 0xf3b01abe,
+    0x7a6792f4, 0x48d9d105, 0x74444651, 0x988717ee, 0x4483df33, 0x8799c289, 0x85ae2543, 0xe963cc86,
+    0x4c28fbf9, 0xca7f9bc7, 0x292de190, 0x6d6e852e, 0x23902be8, 0x0d381bf3, 0x317e3694, 0x117c2b6f,
+    0x29cd3537, 0xffd69c74, 0x2584df64, 0xac5a315c, 0x7b1a1ae4, 0x7f8bbd65, 0x73a419b3, 0x0696728e,
+    0xe176617b, 0xfb25835e, 0x56f45bf9, 0xdd0e305d, 0x7e33ba7a, 0xfcbcd653, 0x51fe1642, 0x76a82198,
+    0xdfb6ba11, 0x22eca88e, 0xa822b0c8, 0x83aa8f20, 0x9134e6a8, 0x44fb6b9f, 0xd4a48555, 0x742c9dca,
+    0x763a9778, 0x5587f36c, 0x7c46ed91, 0xc4dc5583, 0x7342a3e7, 0x373bad20, 0x331535f8, 0x9cda69d9,
+    0x81b1bf6a, 0xd0d39854, 0x346a7ba2, 0xab2a6b5a, 0x8ea40c3e, 0x7764fb83, 0x754130de, 0x3afd9d01,
+    0xbcafa8b5, 0x75af5a7c, 0xfda4c1e9, 0x5d146846, 0x8e7023d6, 0xf732486f, 0x261c9238, 0x4551d3eb,
+    0x19d68a4b, 0x61cf2303, 0xe88a112f, 0xe0965bb1, 0x7439b1aa, 0xb8eecdce, 0x0757a2a0, 0x153a3634,
+    0x88ed9b12, 0x6472539d, 0x1cdf1041, 0xc66791a5, 0x1d0c3364, 0x9976fb38, 0x8a26df91, 0x76d5643c,
+    0xaf7eb2f4, 0x3bdb5f95, 0xc47a3b52, 0x84cebf6e, 0x492cd1a5, 0x3de7d34c, 0xa393f8f8, 0x1e2dc49b,
+    0x6da3bbc7, 0x89b37fd7, 0x97148b25, 0xb6a3f338, 0x4750ec84, 0xf7cc3a40, 0x850866ae, 0x2378e57e,
+    0xf1c56b1a, 0x30fa6305, 0xf733ae89, 0x812d4488, 0x505b322a, 0xf93f7e43, 0x4a029922, 0xcb4df4e4,
+    0x7ed1cf73, 0xfdd939b7, 0x3dacbaf9, 0xd6141e63, 0x96fffa75, 0x0874330c, 0xfa2efb68, 0xe90aa84a,
+    0xcdcee404, 0x7ecc686e, 0xdf5cadb6, 0xb3396e46, 0x4898fc84, 0x2f28dac9, 0x06a3bb5d, 0xbff755dc,
+    0xf37b6a6e, 0x6ecd4ae4, 0xa130e7cf, 0x5f507a98, 0x661e35f0, 0xcefd491c, 0xa2ace846, 0xedfde318,
+    0x0859f7cc, 0xa4285273, 0x499ef43f, 0x8c759865, 0x99662735, 0xc5791478, 0x173f7160, 0x33181c1f,
+    0x571eebae, 0x8f684b3c, 0x6b6c4af0, 0x6248e004, 0xaa70d2c0, 0xfac6b40f, 0xf0cb71bc, 0xde9e7742,
+    0x2c5c1f6e, 0x0a4f4872, 0xe6bfddc4, 0x0335786d, 0x6add29d7, 0x63be83a8, 0x6454877a, 0x1046200a,
+    0x5e698a2f, 0xca52bd98, 0x73167ada, 0x6a3e1fbf, 0xd9336f05, 0x04cb1c12, 0x00df3752, 0xeb8c5076,
+    0xfd5b3c99, 0x0e1abd80, 0xcfce67ce, 0xa140cea2, 0x77efb0cb, 0x26b0768f, 0xb426b6fb, 0xe7bc275b,
+    0x80b7eedc, 0xe15e5080, 0xf9cc87ee, 0x8d6456a5, 0x65189369, 0xb525da60, 0x33a1ec21, 0x4618afc1,
+    0x7542787e, 0x9c710265, 0xeef7ed83, 0xdd84e767, 0x8fc9637f, 0x0fda97c0, 0xb7025b2d, 0x48e17d19,
+    0xa53c0fe3, 0xbf4ef9f3, 0x07eeec84, 0x52df7abd, 0x220d9482, 0x29a13eea, 0x315c3be3, 0x14ecda71,
+    0x9cc1e6f1, 0x2f6fd2ae, 0xb801e498, 0xac1124b1, 0xada6e92c, 0x97b7725f, 0xda8b15e5, 0x9aee6a77,
+    0xfdfde635, 0x481822b9, 0xa4cfca18, 0x913e215f, 0x2713c7ed, 0x30ab0e35, 0x194df842, 0xccaae1dd,
+    0xfca38932, 0x206ac772, 0xf5f1405e, 0xf846996a, 0x8291e1c7, 0xb4df65a8, 0x292c6a3d, 0x0e157340,
+    0x053cfc81, 0xae03915a, 0x1ce8d2d6, 0xb8beca7c, 0x3997e5e4, 0x50812ef9, 0xd80d7ef1, 0x490afa83,
+    0x0823e4d8, 0x15194ed8, 0xc96837a7, 0xdd3f0736, 0x3e072435, 0xb5849392, 0xc34b6194, 0x0f505e50,
+    0xacf5638b, 0xd0c5a834, 0x05a90514, 0x5e8b28c9, 0xab6a2d6e, 0xdcfb4268, 0x777bdb3e, 0x7ed05b56,
+    0xee811e2c, 0x54dd2e39, 0xbdb00176, 0xc8a8f234, 0xefeddf5f, 0x8e2b5e98, 0xdd78c7cb, 0x07267ff5,
+    0xc8a9de1f, 0x53d29a1e, 0x70527d66, 0x11112f2e, 0xca90b26f, 0x56933640, 0x42b1ed2f, 0xaa1570f4,
+    0x88180d12, 0xb5d2513e, 0xf19d3779, 0xf1817d8f, 0x1be733ad, 0x3600967c, 0x9c35995b, 0x6f226aa1,
+    0x19547943, 0x654a43ff, 0xc1bc9839, 0x6ff2c99a, 0xd9be741f, 0x8d42e009, 0x3c033c5a, 0x354af8d8,
+    0xe2bb0e66, 0xd4d07cf7, 0x716ad37b, 0x4180a8cc, 0xfb05a129, 0xe84604bf, 0x25543c2a, 0x9e7e99d9,
+    0x513e0683, 0xb53701dc, 0x655b6f10, 0x7e846818, 0xc6445be8, 0xfdbfba0e, 0x745e8f4f, 0xe5447f05,
+    0x77b0ee30, 0xfe9805d3, 0xe02c8b67, 0x5865284c, 0xe9a3e996, 0x703127de, 0x54ddbbf5, 0xb4247472,
+    0xd68c69d8, 0x4bf0ed0d, 0xa6331dd6, 0x7df4f3e0, 0x7a236d5e, 0x0014bb13, 0x07dca775, 0x693cd3c5,
+    0xf52864e3, 0xd641acdf, 0xc4e11d97, 0xb856416b, 0x9f922f8c, 0xc55509b6, 0x7a076252, 0x8bb441c1,
+    0xa2452b71, 0x6ebaceea, 0x50f0a64c, 0x216e3f5f, 0x301d8b23, 0xf536d2e8, 0x82e53017, 0x6ec33b3f,
+    0xe83b01d7, 0xc564cd6f, 0x3a0d79a6, 0x60cd133b, 0xb46ab68d, 0x208221fc, 0xe743e751, 0x76fd2e06,
+    0xbf0efe2a, 0x402b7548, 0x61052f56, 0x05a0e0b0, 0x9177c71c, 0x455fefc1, 0x7e5f4fbd, 0x8df278e7,
+    0x623f7260, 0x622541e8, 0xe0501bc7, 0xba4e5e56, 0x3dcc0711, 0x0a5a411e, 0xc0e2f66b, 0xa493dd91,
+    0x1dc46e70, 0xac2c2bc3, 0x792cfef7, 0x139fb428, 0xcf9a7c00, 0x4487a38e, 0x06f00ec0, 0xde1f6b3b,
+    0x4a424302, 0xfc9e5806, 0x5fa9d877, 0xdf34771e, 0xb0ec48ab, 0xd53384be, 0x0f6c4b49, 0xcec26efc,
+    0x7b34f08a, 0xc12bffe0, 0x9ba35d6e, 0x028af7e7, 0x029fd350, 0xf0656412, 0xfdfe65a4, 0xbf1951bd,
+    0xc604d2c0, 0x32ca0b66, 0x034cfa40, 0x9e118ae3, 0x2486c41f, 0xed3b6fb7, 0x42928470, 0xf7e4612c,
+    0xa29a53bd, 0xba509212, 0x70beabaa, 0xfedda096, 0x0ba6ba63, 0xc2895690, 0xe9baed3a, 0xc1880272,
+    0x7eb288fe, 0xa53b5c02, 0x1f97b11e, 0x88b3d143, 0xf3d6a458, 0xf5086ee8, 0xfc18058b, 0x18d0ba13,
+    0x26bac259, 0x43bc0387, 0x25fc4fe2, 0xad16ad03, 0x4402f9b8, 0x27b19c54, 0xce80c563, 0x47bfce4f,
+    0x1efe28ba, 0x24a2b10d, 0xa43e0e58, 0xdbbd433a, 0x63a6a334, 0x46252e60, 0x866ec9c4, 0x5196b677,
+    0xddc23077, 0x2c605afa, 0x25a7daba, 0xc7b49dc4, 0xd6412a3e, 0x1006d124, 0xe10ad2db, 0xe91bbd2b,
+    0x659d919d, 0x8e68290a, 0x3da62988, 0xe448109b, 0x54994494, 0x84754811, 0x639722a3, 0x2be1e1cc,
+    0xf071c3e3, 0x6b36532a, 0x06c927fc, 0xa3a566a8, 0x4a3c804d, 0xc95c333e, 0x085e08a8, 0xe61c19c9,
+    0x21eff836, 0x9b0f20d1, 0xa114d0ac, 0x6c12fb0d, 0x3a7a51b5, 0x848ad08f, 0x72cb1a90, 0xa0ef4296,
+    0x0ee96c3d, 0x6fdf3d87, 0x62f966fe, 0xba906fc6, 0xd1b5c5a9, 0x46f1dd49, 0x7f402cca, 0xf0bcc343,
+    0xd52b6f02, 0xe1aab1ae, 0x3c9bd049, 0x68e6fce7, 0xb3c6cb6a, 0x61f0ccc1, 0x80efaf9a, 0xcc78c736,
+    0x1d57afb4, 0xd7d0bef7, 0x5a91225a, 0xa80a3dc4, 0x310b0466, 0x53fb30c6, 0x87e9fa4d, 0x75806570,
+    0x994ff703, 0x0a4599f8, 0xd70f39f4, 0x99332d78, 0x5ef2f7c1, 0x9b382110, 0x009b448f, 0x71efd3b2,
+    0x04733537, 0xa29130c6, 0xe106f310, 0xd11b4692, 0xebb525c8, 0xde46d54e, 0x7f1df464, 0x2f76af6d,
+    0xaebec1ca, 0xdd756f9d, 0xb3ced34a, 0xb9418f86, 0x7cae6b2c, 0xfaad5c39, 0x367776a1, 0x7cb54aae,
+    0x19857178, 0x3dad4c50, 0xde4f0995, 0xf3f334e4, 0x3467fcd4, 0x52116fa2, 0x5252c072, 0xb9c9a738,
+    0x07c41f3b, 0xe407878d, 0x71a0f439, 0x40270a0a, 0x1401306f, 0x1a06be89, 0x8fe7fdbd, 0xb54d119c,
+    0x4edd457a, 0x1f871e90, 0x1e4f2d24, 0x1bfca90a, 0xc21d2ef5, 0x6c6c0c4d, 0x9680edef, 0xf903cd14,
+    0x0f2e31de, 0xff29a744, 0x78c07e21, 0xddb560ac, 0x46d5fbe1, 0xda753ab0, 0x7ac93d57, 0x503e80cc,
+    0x541fa38c, 0x5a8b1ab7, 0xa2f30c8c, 0x90a38215, 0x7361fde3, 0xc8008b3c, 0xbee32114, 0xf9a2e7bf,
+    0x0c7a0e5b, 0x6dea9736, 0x3445ed4a, 0xb832beee, 0x23b73226, 0x897cbe82, 0xc19ef10c, 0x8a9cb1d4,
+    0x6b938e2d, 0x0dbe5d14, 0xa642f364, 0x4adc46dd, 0xe8d4e589, 0xbc4f819a, 0x71eefd70, 0x763cbaf7,
+    0x91b7d1dd, 0x99030974, 0x89162eda, 0xd979e595, 0x1d71fd8d, 0xf50992b9, 0xbe523c9f, 0x0a493ade,
+    0xbb9e4359, 0x7c669ae4, 0xc294b28e, 0xfc21dc7b, 0x6f00b6d4, 0xa023414e, 0xb6466759, 0xc86b358f,
+    0x15ec60b2, 0x8d168ece, 0xfd527fae, 0x0595386a, 0xeab9a441, 0xd59270ef, 0x0aead8bc, 0x84576da9,
+    0x9643a0f0, 0xe359ccdc, 0x4da05d52, 0x60028df3, 0x39c54d2c, 0x3de86328, 0xa14dd1ce, 0x1af0c476,
+    0xb4801bdb, 0xb20c5fd8, 0xa72ae925, 0x13256f3f, 0x98b63e71, 0x585da618, 0x352b062b, 0x79a38d1b,
+    0x05098978, 0xdef61585, 0x4e57749c, 0xf5435f8b, 0x3cea7d6c, 0x30d0f76c, 0xb17093e9, 0x20313878,
+    0x096abe67, 0x60035c65, 0xf36e67ea, 0x76475791, 0xe625e9b9, 0xc3ebea4b, 0xc2b391bf, 0xa707543e,
+    0x1a53cec2, 0x68fde6da, 0x4b418e43, 0x05762dbe, 0xaf3a562d, 0x4fbacf26, 0x0f9761e7, 0xf5b0052c,
+    0xf4bd70d3, 0x17102a0c, 0x497e651e, 0x319c1c0f, 0x5d9ea335, 0x7fa88cc9, 0x0a03bfe9, 0xa864ac3d,
+    0x054174a0, 0x72ce65ad, 0x2361313f, 0xc48aca62, 0x65e09fb7, 0x7c57d36c, 0xe8c834e6, 0x9a986599,
+    0xb5f58e1e, 0x180fb2fb, 0x561a798f, 0xc59bf2ae, 0xad803a82, 0xd8402f8b, 0x28aceec4, 0x33f70e79,
+    0x3c5df1e5, 0x7111a573, 0x203d62ce, 0xdf99b23a, 0x52338100, 0xb339460a, 0x5fa4c764, 0x46468403,
+    0x6c5da589, 0xcab3cf94, 0x8ca70535, 0xcb997fdf, 0x3d558f96, 0xfd7f1911, 0x28fe8a15, 0x110937f3,
+    0xbea8b208, 0x4508fef9, 0xf266945f, 0x19124453, 0x0ba21779, 0xa6a5edbd, 0xbfb4db67, 0xa22e8966,
+    0x83b9ebb2, 0x2216aa3b, 0x0a1fca41, 0x369784d0, 0x4eaba413, 0x1ce1e739, 0x03aa13a7, 0xecbc13c7,
+    0x2f3c4682, 0xcc78bcd4, 0xab08ddc5, 0x8858bec2, 0x1bb36ac7, 0x57fce788, 0x1538b5e0, 0xb9b938c0,
+    0xfdf285b0, 0xfb8541fb, 0x8f076c7e, 0xf6cb8d46, 0x41b5cbbb, 0x9a2ace10, 0x87806448, 0xbb2c481d,
+    0x30cdbd51, 0xf8c2066b, 0xac96e183, 0x8826a55a, 0x4bba2360, 0x30a5f7b1, 0x1ea82b12, 0x9a7078b3,
+    0x9ddf256e, 0x0e39f236, 0x6ee529da, 0xed507cce, 0x7637543a, 0xc302e559, 0xaa46b306, 0x5c48545f,
+    0x02e4843e, 0x59b545a3, 0x0a712d01, 0x50a8e272, 0x97e822a9, 0xa6b09c21, 0xf422e100, 0x49a8dff4,
+    0x12d1ae87, 0x5058f2c7, 0xd0ddfc85, 0xdc048e0f, 0x08fb88e5, 0x10f2f86c, 0xa2348507, 0xbb38b397,
+    0xeac7482c, 0xfc70f3a8, 0x0a9531eb, 0x70bf0e77, 0x4c84711f, 0xbd4dd34f, 0x1870bb6f, 0x541e291f,
+    0x550fc37d, 0x4b4375cf, 0x5f9cc083, 0x4dc1b93f, 0x43fbd96c, 0xd4165bfc, 0xf4f94498, 0x1856beb1,
+    0x0d9e8103, 0x9ae95f1e, 0xceb2821b, 0x023c1562, 0x0257d5ea, 0x608d6d54, 0x84222c4a, 0x412f8ffb,
+    0xa868ce0a, 0x7cdf9e39, 0x371b7a64, 0x00bbd0e2, 0x041dc3bc, 0x4f568646, 0x765a418a, 0x50b4c79d,
+    0xbb78ae69, 0xeed3412f, 0xc6fb9f01, 0x12d3f8ec, 0x680ffd62, 0xe3566719, 0x5341dcf7, 0x11eb5e72,
+    0x0845cc1b, 0xff296828, 0xae7f0961, 0xd44450d4, 0xa6db31d4, 0x897be7b3, 0xc64f63a6, 0xabfdb8d1,
+    0xbcee3c1f, 0x39ad6a1f, 0xa2f17cd2, 0xb98aa92e, 0xca350cda, 0xe6a0b842, 0x5a99344e, 0x6b4cb72f,
+    0x3fe81b18, 0xb8a50170, 0x7fdd83e4, 0x07a06840, 0x04eeb576, 0xfbd0faf8, 0x87bab59b, 0xba6de716,
+    0xdd8769fe, 0xb9d890ff, 0xf19924ad, 0xe913beed, 0x24c5944c, 0x6b38d415, 0xada36d66, 0xb400bf7e,
+    0xb9a03798, 0x257061d9, 0xcff8540a, 0x558e3b4e, 0xf12548a6, 0x585e3142, 0xa5ce24a5, 0x07be84e4,
+    0x1c445618, 0x52dc8df8, 0x456135cf, 0x1633281f, 0xc135ab23, 0xbc6c3a65, 0xbd52bc8e, 0xba137ddc,
+    0x7c1e21d0, 0x209cdc2e, 0x4e80b11b, 0x80d16841, 0x2aec1a62, 0x79281074, 0xa6615c9b, 0x88fc569a,
+    0x4c3d116a, 0x70430789, 0xf004b34b, 0x4f32d605, 0xf82c30b4, 0x5c11494f, 0x43eedee6, 0xcd6c3d2e,
+    0x9d2ab584, 0xf73f1ef0, 0x7b32369c, 0x17cc4a4f, 0xf8e489b0, 0xbbe3b540, 0xe09b795e, 0x14707fea,
+    0x7a3c48e6, 0xbaf65313, 0xe9fb2f5e, 0x25bb9088, 0x076eb6ec, 0x751fa606, 0xb9d8b204, 0x26530ddb,
+    0x8da977e0, 0x12043c3b, 0x91ddbeda, 0x3bdf45fd, 0x44b9e5f0, 0x20ebcd33, 0x1073254d, 0xa5a18959,
+    0x4f01ff98, 0xdc4c6ee0, 0xe6c2c1f1, 0xe04e4146, 0xdb245113, 0x6ca7f5d3, 0xa20e8a6e, 0x212a4d40,
+    0xa09f82e4, 0xea6e3ad8, 0x7c341428, 0xbdce457d, 0x290b5fe8, 0xdf2c6c7e, 0xf5491428, 0x20a2695b,
+    0x2f70b740, 0xcd0f801b, 0xc2389509, 0x103230f9, 0x5c3cc6bd, 0xe00f4d44, 0xfaacb107, 0x8ebf9ba8,
+    0x00000000,
+    0x4bd0a7ae, 0x6d055271, 0xab831707, 0x6bc08588, 0x61e98be6, 0x254dfdf4, 0x314ac5b9, 0x4ea80721,
+    0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000100869135862769866783434342656367651341004\
+                          13253239154346994763111486904773503285916522052161250538404046496765518544896 */
+  { 0x00000000,
+    0x26cf728f, 0xc9162b57, 0x9eab2dd5, 0x7fab84a0, 0xff332386, 0xe4f6dfc2, 0x122bfe10, 0x0d58b15c,
+    0x14eb374d, 0x28b3b0b4, 0x5f9c079c, 0xa1b0fb35, 0xfcb8c624, 0x8ad0c25f, 0x591a67e4, 0xd3637e35,
+    0x80d3f6b5, 0xdbba6ffe, 0xedd55ff2, 0x766375f7, 0x68fa5907, 0xf1df412d, 0x06b89786, 0xf95fd880,
+    0xf901a8a4, 0xcf454fa4, 0xabaea0b2, 0x16b40a3e, 0x5c7be515, 0x1ff88b12, 0x632755fb, 0xffed08d7,
+    0x8ab00be7, 0x4b353166, 0xb048c00d, 0xe43e0c11, 0xc9a133d5, 0x0b8d670c, 0xe3a24a37, 0x0476e0b7,
+    0xbf451f22, 0x4fae4330, 0x1a1eab72, 0xad81ca22, 0xd0170175, 0x4d49f2d0, 0x25637518, 0x871a09cb,
+    0x6e3630cc, 0xb4f26e0e, 0x2d8f0bd0, 0x7bb50499, 0x25193d85, 0xd92bcb52, 0x263a034d, 0x477a49ac,
+    0xcfd13fc3, 0xabef37ab, 0xac7c9753, 0x387d50c7, 0xd5dae142, 0xf6fdaa6e, 0xc538a79e, 0x45894451,
+    0x55109019, 0x76d686a2, 0xde7e4384, 0x70907992, 0xc4f1259e, 0x21e031f4, 0xb3de5ac5, 0x4d5cb3c2,
+    0xd6d710bf, 0x215ab316, 0x2dbee2d5, 0x828f8849, 0x2791766a, 0xcbe58220, 0x8f749ddd, 0x44adf807,
+    0x16872b84, 0xefa14a2a, 0x99105374, 0x199e92ac, 0x5d1a905f, 0x0e1d1895, 0xc5dbce6c, 0xab2ea23f,
+    0xe5ee47bf, 0x373aa150, 0xc581f686, 0x5cbfa91b, 0x85574818, 0x83d7c74a, 0xc9ab116a, 0x93d74f64,
+    0x082c512b, 0x2cab1e3a, 0x7f88c1cc, 0x65f3742c, 0x63846032, 0xe784cf01, 0x6f0b0659, 0x86e6e55d,
+    0x84f9ade8, 0x9a315272, 0x85b4fa47, 0x556a4a0f, 0x1979677a, 0xefa43a52, 0xea7bc786, 0x2f1661f7,
+    0x135efccd, 0xfcd36814, 0x18350abc, 0x7c6b3e11, 0x63bc236b, 0x301b4f6d, 0x3795c55b, 0xc8980e26,
+    0x481510b3, 0x1ca3cad0, 0x47bf8da6, 0x57a560fe, 0x54d8aeb8, 0x2f051647, 0x8a0a41a4, 0xc46c7baa,
+    0x03b1be77, 0x8a51b5e2, 0x9bac0a3a, 0x0d33ae9d, 0xd1245604, 0xbe72f633, 0xe590fe52, 0x24fe5c61,
+    0x7c1b814e, 0x25b8e126, 0xeeeae4f9, 0xa7657ea1, 0x7a751b3a, 0x9901f5ab, 0xb8cef147, 0xdb8c2244,
+    0x3e94d653, 0xd5f6a14a, 0x837e0381, 0x5a7e48ef, 0x3bbb9c66, 0xa618eb8a, 0xa26a214e, 0xc85045df,
+    0x02651eaf, 0x8cee6115, 0xe1072247, 0x34688c3f, 0x6794e739, 0x6c7dada3, 0x4000f05c, 0x53d33dde,
+    0xa982b655, 0x6da5b99b, 0xe2bebd4a, 0x3f064540, 0x350791c0, 0x2ba31777, 0x20861992, 0x1d76123d,
+    0x761d3470, 0x35e597fe, 0x88510486, 0x13f4f48b, 0x1a98f2cd, 0x802e7ff7, 0xb052f1fe, 0xb5fbfc5f,
+    0xf60b2aee, 0x79361468, 0x511126cf, 0x6aceb749, 0x24959649, 0xc1b83b0c, 0x1ed9fbce, 0xdc10ee4f,
+    0xc8174444, 0x77f671f1, 0xb98eb2ef, 0xc24367b9, 0x31fec49a, 0xd214a194, 0x14dea63d, 0xb1cfd912,
+    0x3d402e27, 0xc4fb3c71, 0xf1409352, 0x38523bde, 0x27a75955, 0x60f8a917, 0x46d70f73, 0x44515d3b,
+    0xa0144a06, 0x9de8180f, 0x1422794b, 0x5091b0ef, 0x2731d359, 0xa3f57681, 0x1f4a7c80, 0x0a6f2b6d,
+    0x258565f0, 0x1d1d8304, 0x478331c8, 0x8dce6ff1, 0x581bb6ba, 0x47f510da, 0x58f10a2a, 0x856420ea,
+    0x8e00b7db, 0xa92c5c56, 0x610457d3, 0x9fb19a2d, 0x9c76d3d9, 0x3803107e, 0x5106d160, 0x2812e13e,
+    0x357e1978, 0x1719dbae, 0x5e6a69f8, 0xd199c48c, 0x9046f927, 0xa70fd363, 0x2df471fc, 0xcfbd4705,
+    0x85e7dc6b, 0x8038f5c5, 0x5b9aeaa9, 0x85a409b8, 0xfff71925, 0x9fdffbaf, 0x1eeae720, 0x8b4b14b6,
+    0x5816ca41, 0x21d2e228, 0xe774ce56, 0xa83f959d, 0x7261f8bc, 0xc3292b65, 0xc305da8f, 0xa8cea143,
+    0xe579d90e, 0x1836c1a0, 0xfbc44c7a, 0x9ebc9aff, 0x2799bf70, 0x364b6453, 0x6acfb729, 0xc2864f51,
+    0x9361728a, 0x848cdadb, 0xc4087cca, 0xbd536f18, 0x13e26450, 0x569e7b7c, 0x9bd41cb7, 0x1e411502,
+    0x4d48a740, 0x0f3bfa02, 0xfd7894bf, 0xf9a75798, 0x5e1b603e, 0x179abde0, 0xa3919d00, 0x97a0a8f7,
+    0xfbac72ee, 0x3d894f1f, 0xeeb4be8a, 0x837765a4, 0x5b91b90f, 0xe15e9a35, 0x616f53da, 0x45971144,
+    0xcf827b51, 0x0a7e9258, 0x4628dd13, 0x70f5ba23, 0x0204007d, 0xca4446ed, 0xa4a2c061, 0xf83ae278,
+    0x642bc963, 0xe6f5f228, 0x71c757d1, 0x03731d47, 0xbce40aaa, 0x4e429ecf, 0x32ddb135, 0xac550006,
+    0x24d09a19, 0x9306f2d8, 0xf4347c05, 0xa135708f, 0x36d6ecb9, 0x9e43f335, 0xf662087e, 0xcfe47f91,
+    0x5cfeab4a, 0xd0f1ea00, 0x9ab3ee33, 0x87273c87, 0xfa5508c7, 0xf8094925, 0x888a08a5, 0x45823e83,
+    0x79de589d, 0x5385103c, 0x2236aaff, 0xb82a1c8b, 0xb1a2a8a7, 0xbb17f6b8, 0x8e7b36dd, 0x7686cbf3,
+    0x86208a4e, 0xb82b4ad6, 0x8d78c23f, 0x86af6ae9, 0xb16e631b, 0x4086f6bb, 0xfa0766ab, 0x8bc2ab0d,
+    0x92200b95, 0x274e8d34, 0x0a579e06, 0xd9b9db00, 0x4e92b45f, 0xb7c9fba4, 0xa1496874, 0x3cc6001e,
+    0xb7811707, 0x81533593, 0xd983e54f, 0xd6c78bca, 0x7a5661b8, 0x6ceac71c, 0x0df5edb7, 0x4668fb27,
+    0xfe7995cd, 0x5de5a36e, 0x52836a31, 0x55407b0b, 0x1431d0ba, 0xac6538eb, 0xce4f41d1, 0xa8f9f1ac,
+    0x53c97335, 0x5b157ef1, 0xdd4f1acf, 0x4a4957d7, 0xff6dee91, 0xa753d39f, 0x1af82abe, 0x1c80a2ed,
+    0x0514eb91, 0xeebe040e, 0x289f46fd, 0x4867a18d, 0x1a4cf125, 0x36700c55, 0xead5e5f7, 0x5e32950b,
+    0xef666ea0, 0xb260f1fe, 0x6e98ccde, 0x129d5054, 0x28c386eb, 0x1c6be481, 0x342cbf5a, 0xdc405c45,
+    0xd780dbf1, 0xbb748e3a, 0xd7f8b35f, 0x5d5d31a3, 0xe6648e68, 0x28056fbe, 0x103624b0, 0x8c562c0e,
+    0x7a2dd0cb, 0x78d2ed27, 0xccbfdd89, 0xdc812189, 0xc3307ada, 0xcf776d9f, 0xa755f664, 0x5caaf6df,
+    0x53f1f29f, 0xef32de0d, 0xe7355692, 0xaad1c2bd, 0x50caf97a, 0x817b1504, 0x701c7d9e, 0xb9d0d2ad,
+    0x9ddee14b, 0x577b9cfc, 0x44eb2416, 0x04ceafa8, 0x86fab358, 0x2d245b51, 0x11938997, 0xc0ce9d62,
+    0x710101f2, 0xbc8d3ac2, 0x584e705f, 0x5b4d40cc, 0x37f882ac, 0xd5419d17, 0x32694b18, 0x68fe03a6,
+    0x7bacd669, 0x0b990a77, 0x9b8f5a17, 0x6ea21214, 0x9ea046ab, 0xb9f4b512, 0x935108f8, 0xfabd36c3,
+    0xfb833d5f, 0xa746ee04, 0xb0c345e1, 0x1160f0c6, 0xeb1a30ad, 0x957abe04, 0x5cffef01, 0xc4d222af,
+    0x7c3a0b66, 0x9784743c, 0xde27e62a, 0x845f7cef, 0xdd5eb59d, 0x6415c269, 0x42718fc7, 0x72586135,
+    0x15449baf, 0x15a32eb6, 0x811eb9b6, 0x21c6f263, 0x227621ae, 0x9a1bc473, 0x6ce4ee61, 0x99baed81,
+    0x67c7ac69, 0x7c8c756f, 0x8f275ea3, 0xf36a2753, 0xa17f9175, 0x9855a28d, 0xeb39fabd, 0x95eddf7e,
+    0x0062a926, 0xea999bde, 0xd1a6fcb0, 0x75c10054, 0x2430aeca, 0x416e4f12, 0xd70d95ce, 0x4a0c72ee,
+    0x4c89b60e, 0xe63373f5, 0x6f75afd3, 0x73a65802, 0xdc9dc3a6, 0x837c59a3, 0x438d6036, 0x13d0cc62,
+    0xec7ae64a, 0x4ce777b8, 0xce40fc1b, 0xff1d703e, 0x982e4692, 0xa38cd945, 0x72a09f87, 0x471d649b,
+    0x094e5c35, 0x23011b1a, 0x5a4bbc0f, 0xb269402d, 0x90589f0e, 0xb93d6bf7, 0xb6b1bb12, 0x360c518b,
+    0x60a4bb17, 0xfab8ee07, 0x577d8096, 0x46f31f08, 0x084b86c8, 0xf919c0ab, 0x43090bee, 0x5884d1f2,
+    0x2bc6cd9d, 0xe12a4f11, 0x6df6861f, 0x3aafce28, 0x2b7d94e8, 0xfc20104d, 0xeafb34d7, 0x8e3d2659,
+    0x1b1c3df7, 0xba4f5ec8, 0x70bfee32, 0x641fca41, 0xaec01232, 0xe510e118, 0xce754ddd, 0xcc4bfd5b,
+    0x873c1951, 0x3c9e8d80, 0x0ec9a41e, 0xc707838d, 0xaf7db457, 0x996a651a, 0xe746cf37, 0x9250a00d,
+    0xba7ccb3e, 0x2d4dfbb6, 0xb040f757, 0xf0e11cdb, 0xab65cf7c, 0x38ca0790, 0x63168b33, 0xcd0fe8ec,
+    0x0379455e, 0xaee30ebc, 0x15f164a1, 0xb914e211, 0x357177b3, 0x5bbdbe23, 0xd223c5e7, 0x61f520d8,
+    0xc4878b66, 0x21e15172, 0x71e2509c, 0x30cb5ac7, 0x600ceb2c, 0x8b77ffd2, 0xc281531e, 0xd8055ccf,
+    0x191cdba1, 0x0251646a, 0x5a6e5550, 0x3b38f251, 0xbc133b42, 0x54da1a7d, 0x4b44af08, 0x009e807b,
+    0x7017d122, 0xe49c9697, 0x9dfd569b, 0xc2ffc58e, 0x7d838d54, 0xe1bc4ba1, 0x478bc202, 0x58a46751,
+    0x6c351c31, 0x367ea9ac, 0x0b68baab, 0x001def1f, 0x4f4a48e0, 0x2751d10a, 0x3cb3d228, 0xc5494b8d,
+    0xff1c98f1, 0xc13fda34, 0xd520048c, 0xbc853f34, 0x2d623ba5, 0x7196150d, 0x790574a2, 0xfcf905ac,
+    0xe52b795c, 0xd2108c1b, 0x76201273, 0x6b8ade54, 0xc66bbdef, 0x3cda3e86, 0x9d28011e, 0x2bbd4ef6,
+    0x8c3cbe14, 0xceb5136c, 0xfd9d1377, 0x2e007cda, 0xcf4df8fc, 0x042fb2d0, 0xe9d1be73, 0x6e24c211,
+    0x85b871f3, 0xf1b427fe, 0x448d3649, 0x095dfa5f, 0x01fcd7ec, 0x8da2ea42, 0xcfc1c5e5, 0xf7cdbfb5,
+    0x2709820b, 0xf3b4148b, 0x0aeed4f6, 0x7ed29f2b, 0x432d1836, 0x57527a09, 0x292f2ee0, 0x4f74390b,
+    0xc8a3da10, 0x3f4d47c2, 0x9b548017, 0x25d4d8dd, 0xebb42910, 0xa288baf2, 0x99c17f8c, 0x1d114e18,
+    0xb1313714, 0x8f383ab4, 0x5d64af26, 0xbedbb2f3, 0x2475ca1a, 0xf5251137, 0x76e8aeac, 0xb4ea15cb,
+    0x5121cab2, 0x8adcfa29, 0xe9d012e1, 0x88474822, 0xca13e5fd, 0x25d518a4, 0xb2c1ce6b, 0x24b4b072,
+    0xb2d308f7, 0x8f32212b, 0x2dd5c188, 0x92ad0681, 0x28ae6471, 0x37b04726, 0x471490a7, 0x9522b4c1,
+    0xd645c2ec, 0x06b9bed7, 0x33ace1ec, 0xd5e4a4e6, 0x04c9206b, 0xfbb2dd28, 0xeaede24c, 0x67e6a15b,
+    0x61c10acb, 0xd6d90ea5, 0x3040380e, 0x660184eb, 0x872db697, 0x89715153, 0x01fcdb08, 0xf0c21dfa,
+    0xe0251239, 0x6c22c2b6, 0x2128f364, 0x65509a87, 0xc33d7d10, 0x60525b8c, 0xff78b2f4, 0xb7cfb5c1,
+    0xafbe7d22, 0xb3f6ca6b, 0xac47525b, 0x448b22d2, 0x036cbe62, 0xa85914ee, 0x3adc95cb, 0x3fdc8bc2,
+    0x5de4fad1, 0xbfba4fc3, 0x945d4e2b, 0xc614e798, 0x757c9609, 0x14ba25b2, 0xb6ca607f, 0xc32ea29c,
+    0x7abd98f2, 0xadccffb1, 0xeb49d5a1, 0xe88310d2, 0x80dd802b, 0xcd0bcf26, 0xf89bca47, 0xd33252fd,
+    0x3882bc94, 0x676931cf, 0xfb6451cb, 0x470b932f, 0x311d58bf, 0x813d6e2a, 0x749388b1, 0x805fcea5,
+    0xe82a9487, 0x2349cd43, 0x57030187, 0xdcd239d6, 0x6cd3b3b8, 0x3864cac8, 0x62a47e4e, 0x621c1ba1,
+    0xf1b55215, 0x1b683579, 0x6f10c1a8, 0xa17dd8a6, 0x57faf14b, 0x95357f47, 0xfc2ce6b6, 0x2536aa7c,
+    0xf3a6becc, 0x2c00a054, 0x9cf2e3f6, 0x6ce17fec, 0x65e32baa, 0x8d84d599, 0x360f910d, 0x7eec9e25,
+    0xeaadcde8, 0x1e35aaaa, 0x56d70ff1, 0x7ff41927, 0x0fbc95be, 0x92ffaeb4, 0xd249bf45, 0x41e81ca0,
+    0x4ec56eaf, 0x2e6d680a, 0x888bc352, 0x848e4e60, 0x28be1240, 0xb02fba7a, 0x3e8a6f20, 0x0a8326ac,
+    0x432710b1, 0x6a7081d8, 0x3eeecbe2, 0x51983b16, 0xf7b217dc, 0x945cb632, 0x1739ee37, 0x1f49cc87,
+    0xd3f56099, 0x6923f946, 0x2da6889f, 0x6d803b6f, 0x830d8a06, 0xc07861a6, 0x39f8f76b, 0x12c63263,
+    0x38c0fdcc, 0x2dc19e29, 0xc6db4184, 0x77bf478c, 0x87075b1b, 0x5f8aac4a, 0x9fdbb492, 0x42d6c075,
+    0x1141fb0b, 0xdf11f7cb, 0x68f15aa0, 0xe02ade33, 0x0d321632, 0x35f681c5, 0x8551ee4f, 0xc83caf7c,
+    0xab03297a, 0xb53706bc, 0x74afb411, 0x5fc50d41, 0xeeed4d41, 0xac3511fa, 0xd80b0fb5, 0x29307b2b,
+    0xbfb2c2a7, 0x9bc5f474, 0xaf0ba7e8, 0xe6e980dc, 0x226f2d11, 0xb313b9b7, 0x7b96a186, 0x69d50b35,
+    0x075e7552, 0x7dbcb25a, 0x8bbe3e86, 0xa82e9c14, 0x0bd853ca, 0x93d4ddee, 0x56cb7377, 0xcec96f7b,
+    0xc29e4f7c, 0x9435a839, 0x8d4e4d60, 0xed03c6d8, 0x73f5ffe3, 0x5118afbc, 0x8aa5212a, 0x7dc30c23,
+    0x09e394d8, 0x74f9783d, 0x52b83c84, 0x6cd670b2, 0x10c14f35, 0xef87c215, 0x6eaf8cf1, 0x9b5af13c,
+    0xe5ca40fc, 0xb5ce8c11, 0xe973a068, 0x2769d1b5, 0xc0850ec8, 0x9e012ae0, 0x10876219, 0x6a1d7b5b,
+    0xdd33fdf1, 0x0d70b08f, 0x63c09dea, 0x4f16a5dd, 0xb8f3bfbb, 0xfa0bfff3, 0x210d8dc0, 0x9690f145,
+    0xa8c77790, 0x687a09e3, 0xa53f7237, 0x96eb140d, 0x72235bc2, 0x5821cd27, 0x23abc273, 0xd64e4ef6,
+    0xd251b5f2, 0xce4e4dd9, 0xd79dc626, 0x316ed5d9, 0x57dcf49f, 0xf6d0b163, 0xa9c74ce7, 0x6d368f38,
+    0x7d3ed2c1, 0x60b8fdb2, 0x6995027e, 0xda41f6e0, 0xcb453127, 0x4ef0a9fc, 0xfa7bd898, 0xdd1a15c1,
+    0x7f71cdf1, 0xd923afba, 0x3e0ed6ee, 0x215aa0cf, 0xd4859937, 0x16fbd470, 0x628e2d7a, 0x61e9e4f2,
+    0xd69bf564, 0xc9abb324, 0x476faae4, 0x33264435, 0xe03c288c, 0xf02aca80, 0x031c8f69, 0x76e68f32,
+    0xe2747949, 0xd7075502, 0x587c30ce, 0xc4c0fed2, 0x8b2fff6e, 0xc044e15f, 0x54cc9075, 0xb0e68925,
+    0xa0b15f18, 0xac71d954, 0xf3c2e0cb, 0xa40e8725, 0xbdf59a3d, 0x36e3d960, 0x855a1b4d, 0x37d04c14,
+    0x76bba943, 0x8349be0d, 0x2189c5d9, 0x76a2f67c, 0x03653678, 0xf1a797b3, 0xc2458d3b, 0xc9bceca6,
+    0xc8239cd2, 0x98f94f29, 0xa46b32d9, 0xb38a21eb, 0x7ab2a396, 0x945bff0b, 0xdba36872, 0x25d57966,
+    0x21870eb2, 0xbd721bac, 0x3f6b9d59, 0x550e4f8e, 0x85c5b4fc, 0x62df97ab, 0xbd96c781, 0x8c1ba6fc,
+    0xc248cf33, 0x120887f4, 0xab79f2ce, 0x28bc989a, 0x91dea8f7, 0x5b1d7c3d, 0xb128818e, 0x68749f32,
+    0xb09f2786, 0x6334d60d, 0x9d1cf106, 0x9c008a68, 0x898fef74, 0x76180c51, 0xa5040e07, 0xe59ff87f,
+    0x9cf2a33e, 0x3faff9ab, 0x7a592fbc, 0x9441658a, 0xebaebd0e, 0x9c1c1997, 0x3c912685, 0x5deb3588,
+    0x9006d6b6, 0xe33b9e78, 0xa87f0526, 0xe281fd32, 0x9ef579d6, 0x4129c4fb, 0x2aaec7fe, 0x37849d76,
+    0x4eeca609, 0x28b39706, 0x5e6640b1, 0x3f62bf22, 0x7fb48d30, 0xff517233, 0x44fa284d, 0x009313f7,
+    0x7594eda9, 0xa9cc8d87, 0x8e0e53a6, 0x55d74f52, 0xdd04b77c, 0x26cbfd7d, 0x1ce5f189, 0xc78b121a,
+    0x2a242127, 0xb0234147, 0xcfb6d345, 0x51aa1cda, 0x68f1b093, 0xac3db0da, 0xa8fb8a73, 0x4f925cf9,
+    0x3c5b72d4, 0xb387b7af, 0x8a42b427, 0xa0d40045, 0x473b71bd, 0x01a3fa3a, 0x3aff0330, 0x9ead7396,
+    0xbf8ab7c0, 0x9aaa9a82, 0x058d020a, 0x5e37f08f, 0xf13d2d6d, 0xfaa8561b, 0x98c3e3d7, 0xf77a64b7,
+    0xe3cd70b2, 0xdb8b3fc5, 0xb9939162, 0x8dc771ed, 0x77daf6cd, 0xf85ed67e, 0xf5550379, 0xdbe845b4,
+    0x49bd3166, 0x357c5b6b, 0xd9dbf5e8, 0xb95ea4b0, 0xbe1363ff, 0x7099eec5, 0xdbeb3927, 0x788b30b9,
+    0x92871f69, 0xfc0cb9b5, 0x16d2c636, 0x3a13f843, 0xaaaa8e0e, 0x0f3fa506, 0x98252d07, 0x44e21945,
+    0x052d164d, 0x370ff630, 0xd31048e2, 0xd90c1f51, 0x65d38ea8, 0xed96d63a, 0xfadc1913, 0xbf29f071,
+    0x00000000,
+    0xa5e853d6, 0xb682a938, 0x55c18b83, 0x35e042c4, 0x30f4c5f3, 0x92a6fefa, 0x98a562dc, 0x27540390,
+    0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000050434567931384933391717171328183825670502\
+                          06626619577173497381555743452386751642958261026080625269202023248382759272448 */
+  { 0x00000000,
+    0xdef3710f, 0xb84908af, 0x5e7fa56e, 0x750384d8, 0xe2b32c25, 0x11e65c0a, 0x4e250fa3, 0x06062d31,
+    0xca66b476, 0x4e59883c, 0x422f0d23, 0x97aea876, 0x2a897cf1, 0x6bed27b4, 0x63fc67e4, 0xbcfd0fb7,
+    0xb60bf02b, 0x886ca4a8, 0xce4ad08e, 0x5db425b5, 0xbe227c32, 0x77c2aff0, 0x0e44fff5, 0x067150ad,
+    0xf9299f70, 0x79678a4e, 0x56a3b653, 0x82992f45, 0x07bcbcb5, 0xc66d0996, 0x5a3ae43d, 0x33645959,
+    0x46a17f41, 0xb46bfbee, 0x43b2bcc0, 0xf07f26bd, 0x336d8ec6, 0xf1fcb0c0, 0x8385ea0f, 0x9ba59e08,
+    0xb8cac3fc, 0x61b5a8ff, 0x44b5aeeb, 0xf7ea4c4a, 0xcec1044d, 0x35c1bfe5, 0x2a0c6675, 0x31c4c5fa,
+    0xb09cba42, 0xb2cf034e, 0x48c39a88, 0x3d47efee, 0x577424bf, 0x7b1e9288, 0x7f5b9b61, 0x0759c82e,
+    0x0a67d80f, 0x4de3725b, 0x6fea527f, 0x1727ec41, 0xb81a7f34, 0xae7a5150, 0xdd57405d, 0x9e620b5c,
+    0x06a7d939, 0x10c586d0, 0x38076c63, 0xdaf242d5, 0x85790206, 0xcd484443, 0x362f6bd6, 0xa9efb0a4,
+    0x122da3c0, 0xc5e89afc, 0x4aceecec, 0xcfed58b9, 0x18c559d1, 0xcfea02a4, 0x9f165f14, 0x78b615c0,
+    0x68169abd, 0x1f3dac2a, 0x9083f215, 0x0d7dfb71, 0x8a6dd28d, 0xe9412cf5, 0xfabeed4d, 0x7bac1564,
+    0x61627c91, 0x48d49eb7, 0x469ddc0c, 0x909f8453, 0x21c51e19, 0x45d5b0c3, 0xa5723ef1, 0xfefa8c2a,
+    0x7ccaceb5, 0xd290a13d, 0xae27c777, 0xc1d0c95e, 0x986fb9c3, 0x228b798f, 0x952af8a9, 0x8056a7b9,
+    0x4acdbcb3, 0x11470b06, 0x0c21435e, 0xfbb69867, 0x28311ad2, 0x61e6a9ce, 0x6b9fc26c, 0x0a1262a7,
+    0xd6aed92d, 0x8554faf8, 0x79934022, 0x036a1af9, 0x96e3d507, 0x1735bfba, 0x7517aa5b, 0x6eb9de75,
+    0xa26dbda1, 0x7096e44f, 0xd36f1db7, 0x56a044fd, 0x0ec2c855, 0xcdefaeb3, 0x93a85212, 0x093aa555,
+    0x7287f552, 0x8ba7c908, 0x0481e482, 0x593965a3, 0x2b1e170e, 0x4f1fc6ce, 0x2bccf61c, 0xae5c11fa,
+    0xd817513a, 0xa3f55464, 0x426fdece, 0x08fad67e, 0x03f4623e, 0x67ea19a2, 0xf3b86c52, 0x4d6d1a16,
+    0x99607bbe, 0xc2859d40, 0x98c5bea6, 0xb4dbebf6, 0x7668b38c, 0x05aa788f, 0x89b94c73, 0xabb6d8fc,
+    0xf7fd9d3d, 0x8d8631fd, 0x19caed73, 0x8a57ad85, 0xfaec99b3, 0x97cf62b3, 0x02f0dff3, 0x6b054f10,
+    0x86e8659b, 0x57db081e, 0x28202212, 0xe3028208, 0x493864b1, 0x585cdf0f, 0xbe7065db, 0x79899b37,
+    0x3c05bd65, 0xd04ee07f, 0x4c49d0b6, 0x3ddac521, 0x888ee389, 0xd56a37eb, 0xf774a170, 0x10787559,
+    0x583f74ea, 0x86553624, 0x64a88141, 0x4875e7b5, 0x943d2b85, 0x80d4fa69, 0x74ab1aef, 0x6dfa8c47,
+    0x7475749d, 0x2ec401bf, 0x2b72186b, 0x62e523e5, 0x21f58383, 0x745ba2be, 0xef50b92d, 0xeff9c5aa,
+    0x6a6c4b35, 0x4a9ce428, 0x39235a42, 0xe02e2086, 0x5c75b8dc, 0xdab6b43d, 0xaad058df, 0x23f15d84,
+    0xfac4e070, 0x221388b0, 0xa807b4bf, 0xb5c1d868, 0xa07dd7d9, 0x5cb4dd6b, 0x7dc178cd, 0x50127d42,
+    0x6bd93cc1, 0x79d740b6, 0xa3e79eaf, 0xf206a819, 0x29251c48, 0xaccd2a38, 0x960d0756, 0xc1002ae1,
+    0xa912cb9a, 0x22cd8020, 0x3fcb3b7b, 0xc8676b1b, 0x66df41a0, 0xdb0f9aec, 0x06317a0f, 0x4fa3f07c,
+    0xb90770c7, 0xaa2bed27, 0xaf1a9ecb, 0xcdf28709, 0x50c6ead9, 0x83a338dc, 0xf194c588, 0x1bdc5f03,
+    0x4aca2ec4, 0xd17068bf, 0x8c137648, 0xef0a0faf, 0xfef6a2f3, 0x2d7a9053, 0xcfbdad31, 0x0e319bd2,
+    0xb682a9cf, 0xa65f79dc, 0x703207ef, 0x5d632f42, 0xe5788bb0, 0xce540052, 0x73a205af, 0x5bd00ee5,
+    0x23da7112, 0x5e3c7ee0, 0x67bb2ce0, 0x654e9edc, 0x9d83ae7e, 0xd10cce24, 0x08a209e2, 0x696b3925,
+    0x8f948233, 0x11701ce4, 0x158c40c3, 0x62c96152, 0x48bea7ae, 0xbe5da0b8, 0x29dce31b, 0x2f672c85,
+    0xa107768f, 0x37ad9e54, 0xbf6af1b8, 0xfe83b6ff, 0xce584c66, 0xc1aa7b96, 0xb31f59ab, 0x573dda13,
+    0xf2522c69, 0x7208ad29, 0x9bbeae81, 0x25bf37d7, 0xd4e7e308, 0x7d60880e, 0x81a0117c, 0xc5e83b2d,
+    0x164a2493, 0xe5be43e1, 0x5cc9c1e2, 0x0aa5220c, 0x507ea24c, 0x09a92041, 0x683af7a3, 0x6b707afa,
+    0xf3a14785, 0xf0087336, 0x80a37dfc, 0x59e1e4ca, 0xcfc41c63, 0x5c5e1b4c, 0x0557198c, 0x985a15ad,
+    0x82895346, 0xa8fb8280, 0x48e373d5, 0x48c1ec75, 0xb5037db7, 0xf0c131d6, 0x102dda26, 0x60161c61,
+    0x0d185653, 0x57654ce4, 0xe014da18, 0x7e35b5c7, 0xe2ab865d, 0xc33abb5c, 0x106e32b5, 0xf80d443a,
+    0xc098f2ce, 0x532994c2, 0xdd761540, 0xae19f682, 0xa3478f1d, 0x1c2d1043, 0x8ca2a8b4, 0x83ee5855,
+    0x7fe75713, 0xaf32b490, 0x44c4f2cf, 0x61209ae8, 0x159de6a3, 0x783d39c8, 0xf7c76b95, 0x6710946f,
+    0x49c735de, 0x46767877, 0x67ddf905, 0x235a95f2, 0xe2629ca4, 0x058e56cc, 0x2bf603c0, 0xd1c0d9f2,
+    0x9d09f000, 0x9ea24112, 0x5bafceb7, 0x6f84d935, 0xbebc6e7b, 0x13ebe649, 0xb9752d71, 0xfe2d1f02,
+    0xbc825498, 0xfb535022, 0x81162dfc, 0x3e572422, 0x22a0b278, 0x0d3dcc3c, 0x7a05b99b, 0x68a6f2f4,
+    0x300f16a0, 0xf02d14a3, 0x46eaa4d5, 0xd5cd526e, 0xc668d0eb, 0xc47bcc2d, 0x4f4d30f4, 0xa2de0e9d,
+    0xf9c8e29a, 0xeab75906, 0x24b0f423, 0xca493143, 0x5517292a, 0x569c2831, 0x49e5e8cc, 0xca6f970b,
+    0xa2202461, 0x22d758dd, 0xd61dbb99, 0xdb3d69a2, 0x90662ae6, 0x9023ff1f, 0x7396d5d8, 0xec718a0d,
+    0x772b4f5a, 0xb11ba929, 0x47a2637a, 0xa6b38141, 0x5ac752df, 0x6cefa7f0, 0xc1adb748, 0xa7fb31d1,
+    0xad11748d, 0xbd8c2c25, 0x7730967b, 0xd2d1dfcb, 0x0f2f2d44, 0xab7882b0, 0x25aa03db, 0x6a79dd90,
+    0x23b86e11, 0x5bc68d81, 0x2c30f9b4, 0xc02e658c, 0xf942424e, 0xb2374fa9, 0xc2716546, 0xd6158662,
+    0x421251a1, 0x9395abcc, 0x640329f3, 0x625b97fb, 0xb7c08927, 0xee0793c4, 0x42f3d4d4, 0x6dff4d0b,
+    0xf55d9de6, 0xd735bdb9, 0x6809e805, 0x9cdbb4ac, 0xcda5fbca, 0xee161ab4, 0xe4fa6a83, 0xa570e9a8,
+    0x0f80ea21, 0xc12db25c, 0x9aeb5655, 0x8973b883, 0x673426d3, 0xd6c90d80, 0xcec01c76, 0x8e7c9ed4,
+    0xde363934, 0xa65fb700, 0xf9ee3f0f, 0x017d6fec, 0x2ac88c51, 0x0aa27cd5, 0x4df34c55, 0x52ae42b3,
+    0x4e1ca27d, 0x9d18edc1, 0x1094ddc4, 0x404bfedc, 0x289458dd, 0xaca2227c, 0x038c61a4, 0xcaba6c81,
+    0x766fa264, 0xc0108499, 0xb497b98e, 0xc6c0c114, 0x5575e57c, 0x79fc1933, 0x4665b1d3, 0x16dd2251,
+    0x628749aa, 0xee819c14, 0xcddb2e92, 0xe8aff089, 0xc4a4cfc5, 0x4b5bbe0e, 0x1e0354b2, 0x3dae4999,
+    0x47cfb69b, 0x256138ac, 0xd898ed9c, 0xa0ee150f, 0xab898679, 0x56205d0a, 0xc62b9182, 0x848221c0,
+    0xe5f2cdd1, 0x0dcbc70c, 0xfc97b2b2, 0xfdbbe0c2, 0xec1e23f8, 0xb039a33e, 0x8278e3bd, 0xb5c30f47,
+    0xc49f765e, 0x56098e94, 0xa1482982, 0x5fcb2626, 0x72829713, 0x42288e29, 0xa90a1a91, 0xee844b8c,
+    0x0ee3cb78, 0x3a46696f, 0x84f22491, 0x6aab9119, 0x42c23316, 0xd8a92fab, 0x6350e0b1, 0xd280ec1b,
+    0x8b5b326c, 0xd2d94920, 0x453a5a2f, 0xe0ff286f, 0x99525ce6, 0x8c05d4f8, 0xba97c9a2, 0xc43f39fc,
+    0xdcdd632c, 0x4b8e6dfe, 0xb0894919, 0xe0097cd0, 0x3d333bf3, 0x26b7c175, 0xdf7f53ae, 0x52921540,
+    0x6dfd601b, 0xaf1905e7, 0xe6121749, 0x8f56668e, 0x850ccd57, 0x0fa0f1f4, 0x5ede51e0, 0x42463a55,
+    0xd936fc9d, 0x28836ac7, 0xca683d61, 0x6caaa5a2, 0xf9def9f2, 0xe05483f3, 0x659c1f31, 0xe408681c,
+    0xc056b4d2, 0x5d60db97, 0x0271622b, 0x71132497, 0xaaec8e80, 0xc634b041, 0x28f8b534, 0xc7e0c0c3,
+    0x595cd082, 0xdf6943c3, 0xc4087762, 0x58cb4e71, 0xb9b3aeb7, 0x120946ba, 0x67eb8af3, 0xc4f222e2,
+    0x9e2fd7a3, 0x6e8ff957, 0x895a642e, 0x7de87d32, 0x7b5b4818, 0x44e3605a, 0xc561f242, 0x2d4b9071,
+    0x5a640ae8, 0x627eb62f, 0xcb50d791, 0xfdd81835, 0xd121525c, 0xb8c6483e, 0x16cca96b, 0xb9874b6e,
+    0x0fbeb5c8, 0x03e59d06, 0x05caa5b6, 0x31aa5a55, 0x80260ab8, 0x5a8cbd18, 0x83d3a65a, 0xf543aa7b,
+    0x5324daca, 0xce713187, 0x20be4484, 0xe454abe8, 0x2fc0225c, 0x3db5d80e, 0xfdafc1de, 0x24ce9824,
+    0x94a40a4a, 0xb3aa0eb7, 0x123fecc4, 0x372ddcc2, 0x459a6816, 0x69368cad, 0x8a91124f, 0x4b04d751,
+    0x91fe5b16, 0xb041c31a, 0xb7776fa7, 0x9eeda9c8, 0x56155d52, 0x11dfc4af, 0x1ae8965f, 0x140bcd9f,
+    0xd1748efe, 0x7164bc6e, 0xb3f35f69, 0x8eec1f82, 0xb3f2eded, 0x0ae5d2e8, 0x4378d51a, 0x495bf4ca,
+    0x8655d53f, 0x7a5d48ea, 0x929f8bd1, 0x2c2dc7d6, 0xf248e9ed, 0xc9331594, 0x47888873, 0x13d7018d,
+    0x4b77c28e, 0x3e5a77eb, 0x15b2f947, 0xf3e10026, 0x96c1c6f3, 0x37921bdd, 0xec997cd2, 0xa5afde11,
+    0x69375358, 0xfe216ac9, 0xbc7fc713, 0xc0d4e9d6, 0xe4db590f, 0xe9a512f3, 0x3b6953ce, 0xc7204e30,
+    0x7de55746, 0xbd7e37a8, 0xcb974a41, 0x87de4790, 0x806febd3, 0x055beeee, 0x1e4ccd45, 0xc17af9f5,
+    0xce15736f, 0xc63af5be, 0x10f83ff2, 0x0b1f1037, 0x795d84ec, 0xc50019d2, 0xc88e0317, 0x57a5cf21,
+    0x0d2631ba, 0x6806799b, 0xc9469754, 0xce02cd35, 0x5c02dfce, 0x24282408, 0x06fd2314, 0xa2e0a2a9,
+    0x1ddee9fb, 0x13a9420c, 0x5410f580, 0x5ee8a763, 0xc1eb2e87, 0xd2410066, 0xeff1a3c9, 0xe5ecb42e,
+    0x66fa3803, 0x56aa9928, 0x4d57568c, 0x046cae65, 0x9009d529, 0x639fb4b1, 0x7a6302e7, 0x9a156b30,
+    0x1d8ba06f, 0xed99732d, 0xfbfb3084, 0xf48d72f8, 0xdde86820, 0x716eed95, 0xa2edcacf, 0xce3336fe,
+    0x63cfad33, 0x01d7bb3b, 0xaf2db032, 0xa74ed54a, 0x28b8d78c, 0x862cef36, 0xc619f8eb, 0x19c6dedb,
+    0x92e48ef5, 0xe851a0e6, 0x35fb2b79, 0x9ec296c9, 0xb6f498c1, 0xfda43bf1, 0x59366ff1, 0x285aaa31,
+    0xad713e33, 0xe8a6ac27, 0x65268c05, 0x0493cad6, 0x54826079, 0x198be3eb, 0x2de81ad9, 0xaee7ceff,
+    0xdbd2e28d, 0x40970b04, 0xb04d2430, 0xd8db314d, 0xe83589d9, 0x100b6aaf, 0x828fc95e, 0xd5fa615d,
+    0x73b9a5c3, 0x2527a4a8, 0x9cbac7c9, 0xf0820635, 0x91b714e4, 0xb77b1df2, 0x8c6384e1, 0x116aeda7,
+    0xd1a1d859, 0x78829f3e, 0x1b3407bd, 0xa836af5c, 0x838ece09, 0xfac1d4bf, 0xce156e0e, 0x8ed7dfbb,
+    0xb93b71c8, 0xd96bbd77, 0xf38dcd6a, 0x62f54993, 0x8119374f, 0x4b8939eb, 0x2d40aa85, 0x6d7700f4,
+    0xce84e44f, 0x83936558, 0xbbca2eef, 0x9429257d, 0x1baa1c36, 0xcb7ab710, 0xb2852958, 0xda08e2fd,
+    0x30f505df, 0x1ff94496, 0x069eb269, 0x819cedc2, 0xee01f668, 0x797eaff1, 0xb0f6c47c, 0x737fefa1,
+    0xf6e34a83, 0xb6d5136e, 0x4b21f724, 0x891be63f, 0x6e5c3b2e, 0x0f5882c9, 0xb439994b, 0xbff44013,
+    0xb701bd6d, 0x32db3f9b, 0x70ade7a6, 0x62807055, 0x009eb7da, 0x44e050d4, 0x686f0535, 0xcc550408,
+    0x0f66c5ad, 0xe0970c04, 0xd050a125, 0x58304b74, 0x99cb9f08, 0xf6fe51a0, 0x6d0192e2, 0x79bcc5d1,
+    0x63b8cd27, 0x4519561d, 0xbfabcadb, 0x4563d2b8, 0xf2f8128b, 0xa1ec265c, 0xdd4563eb, 0x20c8beb1,
+    0xa72a201d, 0x0e77be2a, 0xb14937de, 0x0f1f6d7d, 0x7173a237, 0x2de58b9a, 0xf811d11e, 0xf842992e,
+    0xbe0b519e, 0x30eb13e1, 0x891cee7a, 0x8da1b7d9, 0x14b81b76, 0x83d0f77e, 0x30c67a72, 0xd69f1553,
+    0x5f5a1ebd, 0x436fbc0a, 0x3604a532, 0xca18dfef, 0x05d3aac5, 0xa0a4eda6, 0xac7b96d0, 0x1ed92c76,
+    0x68ce3e26, 0x671f0bf4, 0x92354722, 0x9cd9fb0e, 0x458cdaab, 0xaad5932a, 0x6ef3e5aa, 0x67cd90ba,
+    0x9109aac2, 0x43fb723d, 0xfc4ae35c, 0xc3e44bd6, 0xb1870ee1, 0xad136976, 0xc8a9cdcc, 0x77c0d9e8,
+    0x00d570b2, 0x93e9708c, 0x048e91c8, 0xdbddd561, 0x743e0897, 0x2fc0dcc9, 0x38f81fd9, 0x5b5e9b0e,
+    0xb34fb352, 0x8ccb9f43, 0xe065edc5, 0x91809791, 0x5b360061, 0xb692e374, 0x42cc5053, 0x1b3cce07,
+    0x260dfc11, 0x3a762efe, 0x6d491580, 0x7ad0c889, 0x80667a5b, 0x87b82a29, 0xd099255d, 0x06354896,
+    0x91f189d5, 0xe9bb82fc, 0xca1ccafb, 0xc50a16e4, 0x14e78f62, 0x0f34f3ff, 0xaa56f385, 0xa0cc16a1,
+    0x19c3f244, 0x3a7e186d, 0x527f184b, 0x8bded751, 0xe4244e2f, 0x5c44224d, 0xe9eea1a6, 0xe1d3b258,
+    0xf570afb9, 0xe6c6bc96, 0x5bbcdf3c, 0x12762af5, 0x68617609, 0x4e938683, 0xbfffe642, 0xe2a3beb0,
+    0x7fd783db, 0x39a356d2, 0xdc1ce200, 0x3aa3afd7, 0x48b405c9, 0x07ace4da, 0x1d57bcc3, 0xdf310de6,
+    0x63e40522, 0x065a8de8, 0xf3b6975c, 0x3431abb7, 0x481fb9d3, 0xa8dd263e, 0x59e5f728, 0x26c0986b,
+    0x2551e2c1, 0x06a5969b, 0x62f42d70, 0xeab3986d, 0x77fd8149, 0xa0ff783c, 0x6edaa1f3, 0x7c413a73,
+    0xc4cb00d1, 0x97ddc7f7, 0x7e3fe958, 0x3776287b, 0x044eabf4, 0xc12f7787, 0xf20c9892, 0x8e80bb4e,
+    0x7080b076, 0x9cae2467, 0x12563583, 0x76270a67, 0x5f1c8ee9, 0x0b28f983, 0x0c45532e, 0xcb3cfbaf,
+    0x1392cc21, 0x58659099, 0x52fff5f1, 0x0a888474, 0x0d18df9b, 0x07dd6d48, 0x3cf4c50f, 0xce7bfb97,
+    0xda9acd18, 0x62d657ae, 0xa59da082, 0xe75f74ec, 0xf9a9bbba, 0x854d35fd, 0xca59b96a, 0xd416a725,
+    0x41513f08, 0xcd8caad8, 0x6e685fc2, 0x0f5fbb0e, 0x51c5ad89, 0x310f304c, 0x45599ffc, 0xc1a1f20a,
+    0x4a47d0a9, 0xbac04cf6, 0x99b6e0eb, 0xb92b3c1d, 0xd9fc1547, 0xbeb00241, 0x55b935fb, 0x6d326978,
+    0x38e18f77, 0xab2500b1, 0xfd2f26d4, 0xd3853a2c, 0xf5dacc2b, 0xa151fe9f, 0xa4235635, 0x24e02410,
+    0x6e75c0a6, 0x86f04446, 0xe9a87e22, 0x003faf3a, 0x9a2d306c, 0xb8c86153, 0x7e95406f, 0x0daa5e74,
+    0xeb6ce68a, 0xb241364b, 0x7b630352, 0x480d956d, 0x5fe782ae, 0x8defdaf2, 0x5a604f00, 0x5f1fc7dd,
+    0xaad6ba20, 0x89a94d61, 0x637b7bf8, 0x8b95461d, 0x75c20a11, 0x5ee4f37d, 0xc964fc4f, 0xfb78c1e1,
+    0xc5fa5f0f, 0x32f78681, 0x8db72aac, 0x6f0f9db9, 0x0246d986, 0x9a35d71d, 0xc221f616, 0x9c32bed3,
+    0x48870fb5, 0xfcf43000, 0xd982c986, 0xcd6ae1b3, 0x066fb019, 0xa0f9424a, 0xe2502e17, 0x537f6ab5,
+    0xe14e3481, 0x8589dc92, 0x2b3706b9, 0x6cbc7d04, 0xf00498b4, 0xe83752d2, 0x8502eb53, 0x7d6188c5,
+    0x5cc90094, 0x43bfcbe5, 0x77096bd5, 0x47e59e3e, 0xe6827f05, 0xce5957da, 0x217a5dea, 0x9a83d38c,
+    0x3d69e049, 0xf64aecc3, 0x3f00e047, 0x95f8f5c5, 0xf3728e38, 0x1fae2734, 0xd6b0cf76, 0xe754672d,
+    0x29668ab0, 0xa317c4e4, 0x897a266b, 0x4a07e626, 0x06a39800, 0xf87f6bde, 0x67900b45, 0xdd381e33,
+    0x00000000,
+    0x52f429ea, 0xdb41549c, 0x2ae0c5c1, 0x9af02162, 0x187a62f9, 0x49537f7d, 0x4c52b16e, 0x93aa01c8,
+    0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000025217283965692466695858585664091912835251\
+                          03313309788586748690777871726193375821479130513040312634601011624191379636224 */
+  { 0x00000000,
+    0xcbe2a1da, 0x259600dd, 0x2ad81883, 0x8ebae93f, 0x1a2c8b0c, 0xaf946590, 0x262b677b, 0x00cd6963,
+    0x40531121, 0x4b8cb0d3, 0x6bd64802, 0xaf805d6d, 0xd338110c, 0xbfaae3c5, 0xeb9805f8, 0x7f7177de,
+    0x78c3557b, 0x97496383, 0x19777b93, 0x413e2f39, 0xbb4d93c7, 0xec85ec1b, 0x240d3a9e, 0xf8ff7e67,
+    0x1a6438af, 0xeef9337e, 0x8c64224f, 0x40b98949, 0x1015eb7a, 0xd3337405, 0x3463fa4f, 0x5f8ed8a5,
+    0xc42d5316, 0xb481ff08, 0xffce7857, 0x1d1863fa, 0x93366616, 0x79fe434d, 0x96b95837, 0xc38250e7,
+    0x903c8bd1, 0x83db62a7, 0xbeefc6f9, 0x5fadb0b8, 0xab9a8095, 0xf354b37e, 0x2be3daa1, 0x3812d9eb,
+    0x97d04147, 0x61665799, 0x170ce3f1, 0xe6a8b475, 0x68dd2712, 0x8f84b8aa, 0x4ae4d62e, 0x841511ad,
+    0x9a5d355b, 0xefcb63a3, 0x38872b5b, 0x82010a78, 0x1c9a40ca, 0xf81471fe, 0xdb44f077, 0xa99ef0d2,
+    0x472a1d6f, 0xfe73b485, 0x5fda0287, 0x62deeb65, 0x67ec0749, 0x9a9d9f89, 0x1556850c, 0x7dc757e9,
+    0xb68a96cb, 0xebc5783e, 0x1c9d3a75, 0x16c53b85, 0x3296bcab, 0xdc7c2078, 0x754d6adc, 0x368b237e,
+    0xaa0d2541, 0x9f67a2cb, 0x5dc7beda, 0x5a891541, 0xf4619f27, 0xe92e455b, 0x2daf66eb, 0xff2cd592,
+    0xd1f2c936, 0xae395d02, 0xd1644659, 0x60b05f1f, 0x4faf64f6, 0x3d4845b1, 0x1de199eb, 0xd3373613,
+    0x09cef8aa, 0x6354c4ff, 0x5ec5d546, 0x93c0111e, 0x3d529288, 0xcdf37911, 0x5efef662, 0x7e5da64b,
+    0x18b5ec73, 0xc1fd2c99, 0x9587efda, 0x6b13b41d, 0x3d7b05f2, 0x33f492d5, 0x959cbb2b, 0x947f5234,
+    0x3600c5cd, 0xfaa9d7c7, 0x0a398238, 0x2d5596b2, 0x7f3597c2, 0x9bd8c23b, 0x5a327e0e, 0xdc4b7acf,
+    0x79c7cd85, 0x4ad0c078, 0x2f9f227c, 0x3eee8416, 0x1c9ded42, 0xca23b70e, 0xd68aeb14, 0x23a15e43,
+    0x0e61682e, 0x4078830a, 0x8cadc482, 0x60fc90e7, 0x0b8e6c56, 0x35fe720a, 0x008bff5a, 0x71f0745f,
+    0x29abf3a8, 0x87052657, 0xcf34ff4c, 0xf47d706e, 0xe2e1c6e9, 0xdf62cccc, 0xa64b918e, 0x09e01e11,
+    0x2b3680a2, 0x014b035d, 0x639aa5fa, 0x519df6b1, 0xe6824118, 0xe4254004, 0x9a1b97b0, 0x8c8ebeb2,
+    0xcd350dc1, 0xbb39dd6d, 0x52875a32, 0xb03e51f0, 0x7eb24343, 0xe85627bd, 0x510fd6c9, 0xbe01641c,
+    0xc0cebf02, 0x1e758810, 0x33362319, 0x572e38b4, 0x3a9fc296, 0xf415bedd, 0x279f34bb, 0x742627fc,
+    0x7105ebe0, 0x74f94a5b, 0xbfaafefc, 0xdc812911, 0x7821f3c4, 0x62ce5ef8, 0x48cc0eca, 0x4694a77a,
+    0xfbf52a4d, 0x5397c70e, 0x5ef2c6d3, 0xc98f8168, 0xb980b7b7, 0xeed5273c, 0x3b97680f, 0x4b4aebb1,
+    0x40c558cb, 0x9ff7c207, 0xed115e97, 0x1c8163d2, 0xd56d5faa, 0x53c74932, 0xbce9c4e2, 0xcd0175d3,
+    0xff6e7c0d, 0x511fe852, 0x98a317f1, 0xcdb67d19, 0x1827b8ee, 0x8cfd2e93, 0xe4a7f1e2, 0x74ec1f46,
+    0x7fda6bc5, 0x0fbfa33b, 0xeea64950, 0xac19a8ad, 0x6f3c13fd, 0xfc69b3a4, 0x0fb06582, 0x4ffdd87f,
+    0x6c3e6723, 0x1faa0c5d, 0xa9888893, 0x2f7f807d, 0x69eecab1, 0x4dfea136, 0xe7f83d1e, 0x10c08dd0,
+    0xe26f1cf9, 0xc6dcf981, 0x79f56460, 0x80a8669b, 0xb9e836ff, 0x8cf31fc4, 0x60155ab1, 0xaf561997,
+    0xfb4afae0, 0xf598344a, 0x22c55464, 0xc41ebffd, 0x9a189aa3, 0x5d289bde, 0xb8e51c2a, 0xfd1021f8,
+    0x1347ccde, 0xe71c255b, 0x6c05b02d, 0x344f74e2, 0xff81e2b9, 0x5b75d974, 0x6cffd425, 0xfa735480,
+    0x20aca7ea, 0x4e7922ad, 0x8f3bcebe, 0x2e235675, 0xc41c384c, 0x0373e750, 0xc64b0469, 0x0d589c64,
+    0xd95bccc3, 0x1a11c0d7, 0xdecd696d, 0x2ce3994f, 0xf1c3d033, 0x4d5425bd, 0x6e446c91, 0x5d78687a,
+    0x3fcc6256, 0x9d19bcee, 0x3cd1e8a4, 0xe382bd3a, 0xab48f326, 0x6b1c9191, 0x763088ad, 0xf6660b33,
+    0x37b44b1d, 0x2a63c6be, 0x9d5ce9b3, 0x9c52be1c, 0xfc00228a, 0x8e6a442d, 0x6cf6210b, 0xa649d223,
+    0xaa30e9da, 0xffa99608, 0xa0e38957, 0x3f4fc02a, 0xa10fd897, 0xba3e4bbd, 0x3820144f, 0xa9e183aa,
+    0x8ff00a7b, 0x9c7af929, 0xbd9b3b2c, 0x009d661e, 0x4ffc595a, 0x719f1425, 0xb8dd7b2f, 0xdc3fb1cb,
+    0x2ee53bb6, 0xc08482b5, 0xaf2ec76a, 0x86794b7f, 0xed17f090, 0x97c21beb, 0xf4ac5d86, 0x397cc331,
+    0xe83ad320, 0xdc42a8eb, 0x53426863, 0x69ec2b34, 0x4e94bd40, 0x58cb32ef, 0x98c2884f, 0x1181dc90,
+    0x4bd23007, 0xec50ec9a, 0x9f056d92, 0x190d6af6, 0x59ed610c, 0x23b2c10c, 0x73e285f4, 0x49242019,
+    0xdd78c660, 0x1a2a467a, 0xe11b7692, 0x954e2b8a, 0x3e1ed82c, 0x961a00e8, 0x1c4cd1d9, 0xed964ded,
+    0x3724f85e, 0xfa24caa2, 0x0f362a20, 0xbb9d06b9, 0xe7a3bac4, 0xeb3193c8, 0xdb888127, 0xac332d6a,
+    0x4ff293f2, 0x75604ace, 0x98a70d0e, 0x1cd2ec6c, 0xc0125cea, 0x6f075648, 0xd40b2b68, 0xf0df7d8a,
+    0x707bfac6, 0x839407c8, 0x8f23c939, 0x569b2fd6, 0x5bb16f8b, 0xe0fcca93, 0x669eeb7b, 0xaf17ce91,
+    0x6d15d9ca, 0x31807d36, 0x2828b608, 0xabc27522, 0x8847e9ce, 0x813e1aee, 0x86a681e3, 0xe58faad1,
+    0xcd7a96a7, 0x8a1cd9d4, 0x9c51de0a, 0x53cd488b, 0x72ae9a13, 0x1d70b249, 0xcb8e641d, 0x69c7abdc,
+    0xd0463105, 0x49570618, 0x5477f8b5, 0x1edd52a9, 0x382487b7, 0xef451ed4, 0xf0b5e57c, 0xdded4140,
+    0x570eca38, 0x0385d90f, 0xc87d0aca, 0x883ae71f, 0x181a3326, 0xd136aa9f, 0x279b1682, 0x213d6c0d,
+    0x847449aa, 0x82b78565, 0x94d881b6, 0x5b5ba634, 0xf920d929, 0xbb866066, 0x1be515c4, 0x739bf637,
+    0x6e6d8e32, 0x1f6bdde3, 0xe7e172f2, 0x136f72a6, 0xcb5523c6, 0x9c011052, 0x6e6b4d6f, 0x147d8828,
+    0xd6f1a92c, 0x0a8c42c5, 0x4adb96cf, 0x8cb43f0b, 0x2195e877, 0x67e77ed8, 0x34b18332, 0x26230a64,
+    0x62438b06, 0x2c0041bc, 0x955b10da, 0x83e74e0b, 0x47e4fd93, 0x961d2e5f, 0xfd6eb436, 0xf610fbed,
+    0xb897eedc, 0x314b9f16, 0x35d9627b, 0x64c88074, 0x8867f47b, 0xcc927c8a, 0x9af7ca88, 0xdb4a0997,
+    0xe7616c4a, 0xce634081, 0x11d16c3f, 0x6a4adf77, 0x96343320, 0x008ca1cd, 0x5ca2ad9d, 0xae2fab33,
+    0xffe7bc53, 0x1aa7af3f, 0xb56c8e40, 0xebe9ae5e, 0xa72a706f, 0x9999cb84, 0xc031d64a, 0x777fa7de,
+    0x511b2472, 0xe07bc5b1, 0xf15715d6, 0xab15a90c, 0x0d4d0eb3, 0x649a5a30, 0x34d3adef, 0xc71545a9,
+    0x0c2f11e8, 0x55ac5983, 0x77ef630d, 0x01b1df33, 0x1e0653c7, 0xdbfacfad, 0x3c36e2c3, 0x383e9381,
+    0xf5a155f7, 0xf795822e, 0x894efffd, 0x86e9f0f5, 0xe375c455, 0x989fbd2c, 0xa6a4bc7a, 0x23b49c2d,
+    0xc1714294, 0x116162c0, 0x583a5ef2, 0x858431e3, 0xba23560b, 0xc84f952c, 0x8eae3ae5, 0x0debcabf,
+    0xca006c66, 0xd2df2cf3, 0x04af46ec, 0x4fd023b6, 0xde7e12ac, 0x07377c55, 0xfa519d2f, 0x70690ea4,
+    0x8d93ff6c, 0xd82f207f, 0xde1cef8f, 0xf2343338, 0x9258c890, 0xd3ab9d23, 0x86032bc9, 0xc411094c,
+    0xcbe87d35, 0x944b067b, 0x0332b7a1, 0x12afb899, 0x3c99ac77, 0x0cd694dd, 0x2692fd1e, 0x1ee30b2a,
+    0x718a8489, 0xc908aab5, 0x9253013e, 0xa8af2442, 0x4f402469, 0xd8177aa0, 0xb20eabe0, 0x531e2d0a,
+    0x43ff700d, 0x91fa8221, 0xfc6df85d, 0x9a1508e0, 0xc622a5fd, 0xaa62079e, 0xa2135178, 0xa220bfdf,
+    0xc6ef12b7, 0x2e7354fb, 0xadc19555, 0x0e1c7631, 0x33d9105a, 0x43e441ef, 0x85cd7d9e, 0xbf28f4bf,
+    0x70d7633c, 0x5023a677, 0x74dc033b, 0xdbf11d69, 0xec0c99d7, 0x805f0f1f, 0x2e0b1ce2, 0x8fc7af95,
+    0xf6e1b93a, 0x6049721c, 0x0c2a6d14, 0xa4db7a86, 0xd34fcfd1, 0xc504c9d9, 0x0a49c16f, 0xfaf84b3d,
+    0x75fcdaaa, 0x0776b6f8, 0xd83bd22e, 0xac1c1e16, 0x30bf08a9, 0xd0d60481, 0xe0bf7638, 0xc98811f5,
+    0xf1a40e3e, 0x207d40f5, 0x8c8f0720, 0x5d2a3085, 0x3aa2bd14, 0x3d1ededd, 0x9e7afc88, 0xd0244ea1,
+    0xe36dd06e, 0xda36a54d, 0x698f8f5f, 0xa845084e, 0x46c061fb, 0x3a26815f, 0xf8a20938, 0xc5d72a1d,
+    0x3ec8e7e7, 0xf090e074, 0x32fefaf3, 0x2066426d, 0x70eb9cd9, 0x22da2006, 0x596be145, 0x3215ed8c,
+    0x2f8f4b8b, 0x08952624, 0x6ecb7b3c, 0x82092dc2, 0xdd931832, 0x1725a8bf, 0x0aec94a0, 0xb345be49,
+    0x2276a3d3, 0x5c77dc6a, 0x09f8429d, 0x721772cd, 0x08ff64e9, 0xe6c05857, 0xbd8fa8c9, 0x2edbd1e9,
+    0x95d94934, 0x5d5b0e4d, 0x846d2909, 0x15797262, 0xe8ce2ef6, 0x1821bd0b, 0x9253cafe, 0xed5609bb,
+    0x24a742be, 0x9f56f9c2, 0x5973d678, 0x7a41188a, 0xe8f69fd8, 0xeb750068, 0xa98fd7df, 0x899647da,
+    0x936ba06b, 0x3a7481d4, 0x9cf669a9, 0x25aed2fc, 0xaede30d3, 0x6df301d9, 0x83e289df, 0x155dc3a3,
+    0x9e1e118a, 0x2077ca56, 0x043f1e67, 0x585e95aa, 0x0ef84533, 0xd2474473, 0x1b9ea44e, 0x365e82d5,
+    0x2050e5a8, 0x0c9eabed, 0x156d91d3, 0x404100c9, 0xfaec9b28, 0xbd2d3dd4, 0x6f564ffc, 0x4d36f583,
+    0x66ca82cb, 0x104b774c, 0xbc9cf981, 0x8d294c87, 0x7217b1e5, 0x3a99789c, 0xc002403d, 0xe5935761,
+    0x9b52b017, 0x0c629fb2, 0xe83b37b5, 0x4727eb1a, 0x9389b08c, 0xcc873e58, 0xd8447a6e, 0xe75ca4aa,
+    0xd9a0bbd0, 0xad5ac3b5, 0x513eae17, 0xb53b9fe6, 0xb9785e8b, 0x76bb949d, 0x6985259d, 0xc2e95208,
+    0x07936b79, 0xf1d25e58, 0x17996082, 0x2c6735b6, 0xe07b7bb3, 0xb026b48a, 0xfa56e1d6, 0x290a9656,
+    0x98406f07, 0xebf703cf, 0x92acc9f8, 0xe9a655f5, 0xa7d78ec0, 0xa4b8f5df, 0x4876d44a, 0xf9ec0074,
+    0xe48b794d, 0x8b08f5e1, 0x819fdb33, 0x98dd6cfa, 0x27c4d3ae, 0x45d51e8b, 0x995ec732, 0xa98a2e06,
+    0x152e4c9a, 0x5ae3a21b, 0x0e4904bf, 0x1e166aec, 0x2743d368, 0xc4208b0d, 0x235cf09e, 0x83a364e3,
+    0x08473d79, 0x7a5d3a29, 0x137fdde1, 0x51b2cda3, 0x6e21ac1e, 0xc62897b9, 0x31231e52, 0x532bbac8,
+    0xa597e219, 0x66d6f0fb, 0x13cacf99, 0x0da7d556, 0xced01d2d, 0xb1c824ee, 0xd467007a, 0x35e070ac,
+    0xc7f719e4, 0xdfb1dfd5, 0x20946664, 0x5d1d85d0, 0x83ee0359, 0xf9307fb1, 0xa1484c9e, 0xbc74e43c,
+    0x94c8d8a9, 0x9c08ea58, 0x20ef7129, 0xd42c85b6, 0x8f7f8f8b, 0x1ba69c03, 0xc5d04e54, 0xe6a193b0,
+    0x52d9d71c, 0x430a0180, 0x19139b09, 0xc6d70a63, 0x219b2c3a, 0xd4d4c231, 0xeca6ed4a, 0x532c0839,
+    0x78bdeea6, 0xbca06e6b, 0x3195f051, 0x7c931fdb, 0xee965cc5, 0x8e287406, 0xa2b09373, 0x67abf6e9,
+    0xd728e868, 0xca6f7dc8, 0xfbbeb980, 0x49863a04, 0x445eb992, 0x28368869, 0x511caed1, 0x6aac7cb2,
+    0xded58fe2, 0xf7990d5f, 0xa77c2a52, 0xd6e876a2, 0x1320e944, 0x25ae7dc6, 0x30ed5572, 0x94a9cf76,
+    0xf1cf0b65, 0xac071984, 0xc5545ac3, 0xef6a8f4e, 0x63dda110, 0xb6deaf7c, 0xedb8ea6a, 0xa33c61df,
+    0x1c7f38ab, 0x4ae625cb, 0x2f130f05, 0x5d396ac7, 0x95a8839f, 0x84430024, 0x66f302a1, 0xd47a16c1,
+    0x4b7fa191, 0xab36d608, 0x35b323db, 0x3381a89f, 0x321f8e7a, 0x95f0054b, 0x78f7e025, 0x7680b319,
+    0x053e257d, 0x6f1197af, 0x85141938, 0xe6c47876, 0x125c7482, 0x1f958bb9, 0xb3e52a5a, 0x114f4025,
+    0xf151d01b, 0xf514a4de, 0xc0f47230, 0x83e30242, 0xef21baec, 0x8344888b, 0x8d6213f3, 0x21e91efb,
+    0x32d29917, 0x79d775e3, 0x51b16ef2, 0x5e987a32, 0x20b56f5e, 0x6e8ac45b, 0xc3b34a40, 0x2d82d61f,
+    0x9a2fad4a, 0xfe40cffe, 0xd62f8ffc, 0x6e325a16, 0x6c089bd9, 0xd9e165f7, 0x60fdf10d, 0xb1125140,
+    0x05419217, 0x1c958b53, 0xcb98d7c5, 0x397542f9, 0xbd6fc2db, 0x4244da21, 0x21d156e3, 0xf696efa3,
+    0xecf268b0, 0x3a6d2197, 0x6cca8dc9, 0x3a76dc50, 0x09c63a28, 0xec6325cb, 0xc1f9ba95, 0xa5cb0196,
+    0xa1b5d2f4, 0x660c76a2, 0xad98e4ad, 0xba63d82c, 0xa6c0665a, 0x7a7a15c9, 0xe33c5537, 0xf23f3f41,
+    0xd7ff4508, 0x8212b0e5, 0xcec52bc7, 0x1f5a2045, 0x47f3c5ba, 0xdbcbde93, 0xd8cdf32a, 0x9040c6df,
+    0xf4ab0259, 0x5d019c4a, 0xfff972e7, 0x69ee4b47, 0xce307af6, 0xc737b795, 0x09d84b3d, 0xdce01d76,
+    0x89865d6f, 0xfee38eb2, 0xca5e5d71, 0x35d30ad6, 0xc1028ed5, 0xd958bac8, 0x44363b9a, 0xd6874dab,
+    0x7d558af7, 0x874d2ce3, 0xc8c3ad9b, 0xbf87278f, 0xcab330ce, 0xa4551acf, 0x19fd296f, 0xeaa6f9c4,
+    0xa29706bf, 0x964b2420, 0x3819b10f, 0x7aeaf3cb, 0x0c048d09, 0xebddea8d, 0xdf2a0055, 0xb0cf6b2d,
+    0xd10be77c, 0xb867b09b, 0xd0985b16, 0xe882c960, 0xb7ea4d8f, 0x6ebce599, 0x7193ec37, 0xaca5d6af,
+    0xadab7872, 0xab95b9f5, 0x9295b179, 0x78465628, 0xa9679ccf, 0x7d2c29b5, 0x476d446c, 0xeb2c1b53,
+    0x8688bc33, 0xfb6f34e4, 0x456024fe, 0x9dfd4ca1, 0x61ea239c, 0x589ef333, 0xff303bc5, 0x8df0a115,
+    0xa5a825b8, 0xa3793e12, 0x03ccc586, 0x4687de9a, 0x18db636e, 0x45fac4b1, 0xf485d94e, 0xe3eadccb,
+    0xb2078d98, 0xf9115371, 0x198fd562, 0x05944eb3, 0x5ad93760, 0xb0a27353, 0x55f206cf, 0x8181ffef,
+    0x3d000b37, 0x22c7c050, 0xac6924b4, 0xae9e6689, 0x6d64eab0, 0x55be686d, 0x1098a9f3, 0x0a57dd14,
+    0x065c74c2, 0x948023c0, 0xce25090a, 0x92290b85, 0x47c018b6, 0x3b5e776f, 0x255a391b, 0x96f191ba,
+    0xa020a8cf, 0x5a159e7c, 0xc4f365f0, 0x866d7c5e, 0x4ae4194f, 0xf6d6d4a7, 0x43055f49, 0x871f8be4,
+    0x70f23d1c, 0xea975fe4, 0x3ca17ff9, 0xfed34737, 0x05acf2ba, 0x499e15e8, 0xdfe2a750, 0x24dc2953,
+    0xd90b62e5, 0x03d8bb01, 0xfb9579e4, 0x390288bb, 0x63cfc4e2, 0xc0d58df5, 0x993b0fe8, 0x275fbd2d,
+    0x5dd2a2cd, 0x42277f35, 0xfae706f7, 0x6447bc44, 0x234b8ff0, 0x0f7eeb67, 0x895f3916, 0x0bb11ead,
+    0x9a1a08d5, 0x2fcc6d4a, 0xe58679b3, 0x73ebe56c, 0xadec4bb9, 0x95562896, 0xc963b94a, 0x5c8777ef,
+    0xac3a2b37, 0x351eff30, 0xb09665c0, 0xd4460c71, 0x132a4135, 0xd9202036, 0xf96dfdd9, 0x62f939a5,
+    0xa9065cb2, 0x3b4dbd08, 0xc4d6ea23, 0x533780ff, 0xecafc725, 0x9bc0b7e1, 0x9c969b17, 0x344c4446,
+    0xae7fe5e0, 0xb592be74, 0xe0b11412, 0xad7c35d7, 0xb94e1ae2, 0xb21e3b53, 0xbfda99a3, 0x85dcabff,
+    0x31e5191a, 0x3094e647, 0x42e522e9, 0xe808d804, 0xc71fc17c, 0xcab0b6cf, 0xcac75082, 0x65c84ce8,
+    0x77a8e89c, 0xf197e17b, 0xc320f4e3, 0x682ac1e8, 0xe7660681, 0x3bb1e41f, 0xa99b8116, 0xa791e77f,
+    0xe7edb0a7, 0x4197821e, 0x61a25042, 0xcb59c087, 0x31201194, 0xdee8ab1f, 0x6b44c55e, 0x1210dbbe,
+    0xa7691cd1, 0x8f8e755d, 0xbb4a64dd, 0xe4c9b8aa, 0xa1f87ede, 0xa7cbd469, 0x138d4573, 0xedf99bfd,
+    0x00000000,
+    0x297a14f4, 0xeda0aa4e, 0x157062e0, 0xcd7810b1, 0x8c3d317c, 0x24a9bfbe, 0x262958b7, 0x49d500e4,
+    0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000012608641982846233347929292832045956417625\
+                          51656654894293374345388935863096687910739565256520156317300505812095689818112 */
+  { 0x00000000,
+    0x7531c32b, 0x7d5ead29, 0xabe3db70, 0x49456eed, 0xdacb9bf2, 0xecccd8f1, 0x88875de3, 0x6a02f271,
+    0x568c3f10, 0x8a10a2e5, 0xd9287fd6, 0x9ae18871, 0xb9255c66, 0x22a3d5de, 0xb7773c3d, 0x7b60673e,
+    0x2a09e336, 0x771a796c, 0x2b5131e0, 0xa12c320a, 0x28259e9e, 0x50f69678, 0xc17cfcc0, 0xa9c62a0f,
+    0xdbac2020, 0x9c546540, 0xadc322f8, 0x3ed366ff, 0xef44e58e, 0x873bbf9a, 0xeadbf44a, 0x2615f6bc,
+    0x4c20ba1c, 0x0c89432e, 0x99409d14, 0x428a6d15, 0xd5aa2aa8, 0xd93e8336, 0xdea97f7a, 0x737dd3ab,
+    0xcc4191ce, 0x50e20622, 0xffa0ab4e, 0x9979aa84, 0x91b439d0, 0x6d7d5a39, 0x0d690709, 0x55cd29b4,
+    0x61620202, 0x92735cd0, 0x0b336869, 0x97fe0a4b, 0x63f01eb1, 0x07fd9783, 0x2dd8b9fe, 0x4fde33f8,
+    0x9f8db2de, 0xc590559d, 0xb6663e4a, 0x55a358f9, 0x050578e8, 0x5a4a732c, 0xaacc6a8f, 0x593a938e,
+    0x2d38036f, 0x9b811f3c, 0xb0c92b77, 0x3f8d8a44, 0xb4ce790e, 0xe3c62375, 0xb425b2fe, 0x144e1dfd,
+    0x4bd22d99, 0x0f1a7327, 0x438c0d40, 0xbe52f654, 0xb42fd9f3, 0x92b17164, 0x75a0d2b6, 0x39aab9ba,
+    0xf6b7f9d5, 0x4424540e, 0x13361937, 0x57b6713a, 0xbf1a6157, 0x0f51c9b0, 0x7094bc5b, 0xb8661de5,
+    0x289b5a81, 0x8fcaae9b, 0xa073eb7d, 0x12e18cba, 0xb9b23798, 0x8588f48b, 0xd305d185, 0x17f8f2a3,
+    0xb49b0112, 0x8a5f35b7, 0x32196bc3, 0x408943c1, 0x29ee9299, 0x5255b764, 0x4d378655, 0xd480673d,
+    0x691b85e6, 0x8c6603f0, 0x006f8a7a, 0xc0a41262, 0xb8bcfe48, 0xa81aa743, 0x1843d4c7, 0x64b0718d,
+    0xffd7fa8b, 0xd01b0135, 0xe4c36b5b, 0xe31442a3, 0xb8498964, 0x48831ff2, 0x81ef6b88, 0xdb98f177,
+    0x841609ae, 0x342197fa, 0x878a68d0, 0xf6ec5897, 0x8ed91956, 0xa80addda, 0xfcefba15, 0x3a4cc8f2,
+    0x3d622ccb, 0xe1557147, 0xb5c3f346, 0x6272bab7, 0xf5c6c261, 0x265cec7e, 0xe9c3a960, 0x99f4ec98,
+    0x2fcd7aaf, 0x07b0252e, 0xc11d8800, 0x6163f333, 0x72ed5043, 0xd70851f6, 0x89df70e3, 0x482876f1,
+    0x9b0ecd7b, 0xbfcde452, 0xcd3d4da3, 0x2a7e8e64, 0x5a0ee7dd, 0x2843faed, 0xb532f3e8, 0x580beaa6,
+    0x85ce89c8, 0x3b145157, 0xfbe2164b, 0xcab93e6f, 0x329daf50, 0x756ff50a, 0x14400dfd, 0x8370c85c,
+    0x5a606b8a, 0x9237aa46, 0x57b2c33c, 0xd93ed196, 0xf93f7358, 0xabd5d97e, 0xbac9d0e4, 0x6900ae59,
+    0x9a187906, 0x0a86fe0c, 0x1c177ff2, 0xa1bb3478, 0x8872ccaf, 0x55320035, 0x560f55d4, 0x35a2d0af,
+    0x5a3bf375, 0xe6b20e13, 0xa6fc1372, 0x77a232a2, 0x848727b7, 0xd1c3f9e1, 0x6cd5dda8, 0xdda81ab1,
+    0x697faf29, 0xe2030527, 0xe2ddedec, 0xe7b1d2dd, 0x0cfb6b16, 0x6f1ed6af, 0xad337f58, 0xb67e9073,
+    0x9865664f, 0xda8d5d97, 0x984daf83, 0xfd3af38c, 0x0705e148, 0x85b19936, 0x68f70bd2, 0x724f6640,
+    0xa9733bbe, 0xb15ca22f, 0x83387766, 0x09e5e1ba, 0x8833c9a4, 0x71997dcc, 0x0d0733b3, 0x9fd176d4,
+    0x6b07d54e, 0x10d85308, 0x919623c7, 0x5d7717a6, 0x0b1f27f7, 0xe64f4260, 0xdf12131e, 0x285873a8,
+    0x7a60eb4c, 0xa8ee8853, 0x6ce40a8f, 0x4f4bf426, 0x986c2fc8, 0x304559d8, 0x4c39e46d, 0x2412e506,
+    0x4710172c, 0x35e5d559, 0x7409517f, 0xf8ac3936, 0x3405b27e, 0x7c31541c, 0x56309ff8, 0x926c3238,
+    0xaf640844, 0x5ce72467, 0x70b8185a, 0xe9818da8, 0x91c0e364, 0xa1d1ea37, 0xcd614e6e, 0xeb2d9d4a,
+    0xa65dc0d4, 0xe36bd584, 0x3903ac90, 0x622bf59d, 0xd12e4796, 0x0108eeff, 0xa9f37141, 0xde301339,
+    0x09ff2585, 0xc29094e6, 0x8e4b49ad, 0x7795ccde, 0xa3a3085b, 0x21330c42, 0x647bc57b, 0x107b96c2,
+    0x907d3d18, 0x99563945, 0xe94e61cf, 0x6b420134, 0xc47f93c9, 0xbd40dc43, 0xbc28812a, 0x8b31acac,
+    0x37dba440, 0x570b4085, 0xd14ac81b, 0x067f20fb, 0xf315224d, 0x294183f8, 0xeefad579, 0xdca28c7e,
+    0x86169b54, 0x51746530, 0x005d372c, 0x05e64c00, 0x51350657, 0x3a369368, 0x6d984f39, 0x55679db5,
+    0x702017aa, 0xc2d29cfc, 0xc41f684f, 0x24462acc, 0xb48bf32a, 0xa8a2f5c1, 0xe4e6d10f, 0xfd3c9828,
+    0x565a5dec, 0x60b2256f, 0x82f2e61d, 0x3bf953dd, 0x021f2634, 0x2ef803c9, 0x6db2ecc5, 0x75c8ede6,
+    0xa451d617, 0x69884248, 0x5000f12d, 0xfef1c741, 0x7d2d0890, 0x84ec6bf1, 0xb3ef2b13, 0xe53b3989,
+    0x1a1068f4, 0xc7628ff2, 0x46056d4c, 0x7b42b024, 0x672740d5, 0xd0a44609, 0x3ff15a51, 0x03c0a7c3,
+    0xa02fd90a, 0x2dfa3737, 0x69204245, 0x8a135a98, 0x33446e25, 0xdc8fe866, 0xa689e96a, 0x82272451,
+    0xf78895b0, 0x35744579, 0x9e69b49d, 0xa7b1420f, 0xefc0e864, 0x43b9fbf0, 0xcd8abf5f, 0xbfe2cc95,
+    0x9704ca5f, 0x1c28a7d5, 0xbf43fe0b, 0xf7b38797, 0x96373065, 0xba6ee136, 0x65586f6d, 0x90abb22e,
+    0x751a472d, 0x9ad97997, 0x91771efb, 0xebc508d8, 0x6040f2bd, 0x979077cb, 0x44ac69f2, 0xf3061150,
+    0xe8a5dfb0, 0x381e1fd5, 0x85cf9bac, 0xe4ddc4b8, 0x5829f520, 0x5af8acad, 0xeae3580b, 0x0131792c,
+    0xe28f3a89, 0x3877eb85, 0x7754038a, 0xc0c503f4, 0xf4862244, 0xe55040ea, 0x86aa1a31, 0x4e8f5f76,
+    0x44cbd09b, 0x023eecaa, 0x568190c3, 0x5f4556aa, 0xcac649e5, 0x048add3c, 0x7416193b, 0x956573e9,
+    0xb151e56d, 0x30033a63, 0x266b69ed, 0x1adbaf84, 0x8d69b1e9, 0xf8e10e5e, 0x77aece51, 0xb379bb96,
+    0x5693b1ec, 0x6c81ec6e, 0x88faf2a2, 0xa81285af, 0x04d7c5e0, 0x60e06426, 0x12c43746, 0x26ff96e4,
+    0x2fdd3b9f, 0x24b77ffe, 0x9ccea5d4, 0xeae070cc, 0xa7caceda, 0x7f6c31e0, 0x1e9d6c3c, 0xbb7747e9,
+    0xec70eb45, 0x4bcc0a10, 0xae3a5f8d, 0xa1c1ca6e, 0x1de73877, 0xed8eeead, 0xd24519f1, 0x468a4bd5,
+    0x5e52f31b, 0x65ce4a6d, 0x08ebd3fb, 0x69db77b8, 0x1b523d65, 0x9597fb4e, 0xfe99decd, 0xba5a8897,
+    0x02b736d7, 0x2da86153, 0xa19138a4, 0xda49c4c1, 0xcd87192d, 0x099a0f48, 0x27729a52, 0x35102a78,
+    0xba827c42, 0xdea32f41, 0x7a0ba543, 0x148b1e0b, 0xfad969bc, 0x132297c0, 0x4f422815, 0x25fec234,
+    0x96e96b4f, 0x3af4193f, 0xee6057c6, 0x516e6577, 0x6dc402e5, 0xde58aa00, 0x2b5c2ac1, 0x9a094cae,
+    0x9f90ed98, 0x1af4e931, 0x4b50b0c6, 0x18a4f19c, 0x206b2c1d, 0x41b57c31, 0x6a708c14, 0x4520a0a4,
+    0x9e614c98, 0x7c19c7f3, 0xb4fab1c7, 0x2ad6316e, 0x2841452d, 0x12261f10, 0xd6807ab4, 0xfbcaf3de,
+    0x6e414b3b, 0x07b0a828, 0x2eae77b8, 0x64800cf5, 0x95f71b10, 0xcffff854, 0x46053e88, 0xf25e28cd,
+    0xe9824f69, 0x73b250fd, 0x4e6b92b4, 0xd108ad18, 0xe8d8134c, 0xe4b84823, 0x48320165, 0x8460c499,
+    0x130a4229, 0x2fbd217c, 0xb7983f57, 0xcc79d38a, 0x8ededd54, 0x918d9d86, 0x451f5da2, 0x7c9b21d1,
+    0x4c90144b, 0xc992110b, 0x00523b86, 0x73692956, 0x5b08100e, 0xef4ada7e, 0xff19d5b5, 0x60cfbe3e,
+    0x2f9205aa, 0x8d745771, 0xe399dbed, 0xf15f6b46, 0x829977fc, 0xcb7734b4, 0x21416485, 0xb267bd8d,
+    0x146c8ef0, 0x4809a3c3, 0x633cc22b, 0x6908f67f, 0x0ab6c5a6, 0xf17351ff, 0x10e85e01, 0x71daa485,
+    0x1a9f1ddd, 0x8947096e, 0xe785de10, 0x83914d08, 0x2843d401, 0x2d4144c5, 0xf405f935, 0xbb59de7f,
+    0x5d698093, 0xce1f580a, 0x5dd77563, 0x3eb6fb8e, 0xe49e4582, 0x9dabb9fc, 0x1915e815, 0x6a93b054,
+    0x011ea749, 0x4ff9f27e, 0x2b6d90b7, 0xaa6fca14, 0x213b62bc, 0xd94aecca, 0x29cbcd5a, 0xb272b4b9,
+    0x68ef1a0a, 0xcab21065, 0x4a17db09, 0x25b5f8e8, 0x552abca5, 0x39b1ff48, 0x318fb6a3, 0x4e8409a9,
+    0x7cab7408, 0x970f24f9, 0x16760f20, 0x6f2f44f0, 0x4057dec8, 0xcfbd300a, 0xc4d17869, 0xbd91edb6,
+    0x0b83c100, 0x5bab6a58, 0xe46351ca, 0x4fe2b4e6, 0x3aed22d5, 0x0e990616, 0xc53b4fba, 0xdf883cff,
+    0x6100a69c, 0xfbb6501c, 0x311cede2, 0x14157e32, 0x65eb02d2, 0x84acfb0c, 0x308ed381, 0x93c05280,
+    0xfef85d50, 0xec307d7a, 0x9de9def5, 0xdf37f2e1, 0x821752eb, 0x69e26a26, 0x6b7d4911, 0xf97a24f5,
+    0x4b32ac1e, 0x7b8db603, 0x1d961fb8, 0x12256569, 0x7a198490, 0x3fc113a0, 0x4a620f88, 0xd3f00bc6,
+    0x95df62f2, 0x4139b78e, 0xf08350b3, 0x48bfefcb, 0x09f27fe2, 0xdf3d2854, 0x7ab12322, 0xf41e5453,
+    0x6d8abdc2, 0x7dae6bd6, 0xcd93550a, 0x7466becb, 0xf573c198, 0x031f94d1, 0x81f81377, 0xfe72590e,
+    0xd59ea086, 0xa0181dc7, 0x96ffcf70, 0x7e72f288, 0xad9ad245, 0x6c803845, 0x5c23dd36, 0xc9aa1f99,
+    0x6ac07507, 0x8c19b32c, 0x04558c58, 0xfb69448c, 0x5e6e1d18, 0x64aeeb7d, 0x665239ef, 0x30777cd9,
+    0x4c3bd9c3, 0x02979ca3, 0x55424b1d, 0x5d87106e, 0x75bb581b, 0xf212a7dc, 0x613880a5, 0x5be6d787,
+    0xb57884ea, 0xd8b7ad16, 0x2dc249d2, 0x8e43ead8, 0x3c0b678e, 0x21f39011, 0x56c308eb, 0x3539aecc,
+    0x9774e0e3, 0xe35aa35a, 0xdb630775, 0x303e814e, 0x8958ac45, 0x8bf73e64, 0xfe5bec4f, 0xad82f9f6,
+    0x722e72b4, 0x428d7651, 0xef92a4d1, 0x8261b867, 0xaf284ac0, 0x565b0bd2, 0xb35155a2, 0x651627b9,
+    0x835ecc9d, 0xf2b1e78e, 0x80cf5422, 0x15313c35, 0xa0337847, 0x7412d983, 0x695fdc4f, 0xbad8569a,
+    0x732298e5, 0xfcf6ab10, 0xe8337d39, 0x05b72566, 0x4cb69ed9, 0x22e6d0d2, 0xd9bcf5d4, 0x5fc7965a,
+    0xd7008a28, 0xc8f73110, 0x9783a714, 0x4f237f02, 0x2cdfc92c, 0xe8366ec1, 0x5bd2ce0c, 0x80c27ced,
+    0x94a37eb5, 0x15308051, 0x28615675, 0x3411b4d3, 0x552ab836, 0x3c27fb81, 0xbbc56ed2, 0x0676a179,
+    0x86fee016, 0xeaeaecc6, 0xebb43c64, 0xd18d9bef, 0xc715163f, 0x6cc04c43, 0x47259efd, 0x10730094,
+    0xb021ea86, 0x4b44ffb5, 0x33402da9, 0xfe9c21bf, 0xd11de931, 0xa5366210, 0x4f970095, 0x182294c5,
+    0x956e6c4e, 0xdedf20cf, 0xaa3fe0f5, 0xd65c4006, 0x70f48898, 0x7edb7f31, 0xba8560da, 0xca31d293,
+    0xba494905, 0xb93a4ac5, 0x9e2bebd6, 0x5f9ffa59, 0x71004d63, 0xf2eaa5ad, 0xa92949f0, 0xe4550ede,
+    0x4653e45c, 0xdea41805, 0xcdb2b30a, 0xb28f93bc, 0x70a0af48, 0x17d1210c, 0x078383cc, 0x074b3e24,
+    0x2deb0af6, 0xccc3f48f, 0xc2d55ed8, 0x892a7cef, 0x57da4cf8, 0x5c64c06d, 0x2a9b80b8, 0xce99cc88,
+    0xacf9429a, 0xe212119c, 0x9e22dee6, 0x6ca8c956, 0x462aabd4, 0x7c4abaa4, 0x23ff5009, 0xd5117e6f,
+    0x704a2617, 0x7f09bb5e, 0x181c08f2, 0x7dae29eb, 0x7568ad56, 0x63557ea3, 0x9b43a636, 0xf26ad1e9,
+    0x9b78d55b, 0x89ba8685, 0xb181deb8, 0xee6624c6, 0xa0e71170, 0x26bca89f, 0x9ca25769, 0xfc1407a1,
+    0x7490a747, 0x4ffe0d4b, 0x80e56f5c, 0x8cda4def, 0x0bf14835, 0x3be9acc9, 0x0235635f, 0x8d407ce0,
+    0x701423b2, 0xc21c7a2a, 0xb2ab7246, 0xb353979e, 0x6a833a3e, 0x54256d4a, 0xbb3180f8, 0xf95d4d30,
+    0x16497438, 0x06ec019e, 0x09498a30, 0x1d5ef8b8, 0x3d30d997, 0x91f410b7, 0xe4178688, 0x75cc5e05,
+    0x04facbb2, 0xb42c2c85, 0xb3b7a841, 0x38648cef, 0x2ffe0328, 0x478759f6, 0x9303b411, 0x95572d8c,
+    0xf955647a, 0xa01ef328, 0x096decdd, 0xdcf2c75e, 0x310fab8d, 0x7dd51e7c, 0x82dfd149, 0x20d05413,
+    0xab77f3af, 0x6a4dd6ab, 0xa384c3af, 0x376b7b94, 0xaeddb10e, 0x9f29e9b4, 0xb36c0351, 0x447c1e36,
+    0xddad67c6, 0xd8a89aab, 0x67d29312, 0xae7bc8a0, 0xe329fa7f, 0xecd47b4d, 0x6f2b4d05, 0x5ab0e1a3,
+    0x79f588c7, 0x16668b2e, 0x316eb724, 0x2fe639f4, 0xae962cc7, 0x680b3afd, 0x47811b39, 0x0200ef1a,
+    0x9055fd35, 0x46985938, 0x3d3d48b5, 0x1a39451b, 0xa6d8e9a4, 0xc51eca4d, 0x0340459b, 0x8e495024,
+    0xc4e6b500, 0x33168087, 0x19cbd525, 0x41be8bde, 0x6ccfe63e, 0x69369e0a, 0x7f85964f, 0xb1d95593,
+    0x52bb86a2, 0xcda85195, 0xc6756dd2, 0xddc95cb2, 0xd6d7edb3, 0x24a2fd61, 0x465ca6c6, 0x4f1c9e15,
+    0x4fc2cad8, 0xf26dbb4e, 0x960d8a10, 0x42b57dbf, 0x9ff41eef, 0x58ebac96, 0xb1b31a0c, 0x0987d937,
+    0x66104cae, 0x465ea979, 0xaa88ce6f, 0x5a349a28, 0x4622f53a, 0x56bc88db, 0xc21e84a0, 0x7a10f1ba,
+    0x1379b753, 0xb437bba0, 0xe21e5232, 0xfe27e0a0, 0xa4b4e4e8, 0xe7036811, 0x6a65816d, 0x46ebbe11,
+    0xb4392aea, 0x659abab7, 0x523eacf4, 0x14a6107f, 0xc8066c1e, 0x636d0cf4, 0xcd25c79d, 0x49314e53,
+    0x611032ad, 0x5116a7f2, 0x6a9ba055, 0xe071e589, 0x39d3bc34, 0x80e0fc1d, 0x4554a537, 0xbc1e1873,
+    0x813a4496, 0x91cdcf9b, 0xb3c3711f, 0x186599cb, 0x356d3323, 0xe0668497, 0x0be33413, 0x958909e3,
+    0x3fb091ef, 0xe5531083, 0x49d7fe02, 0x28dd3ebd, 0x55bafe0b, 0xce475c8e, 0x20d00010, 0xb1c7613f,
+    0x038e1ca5, 0xea290daa, 0x7078f496, 0x79f402d7, 0xcbb09888, 0x80a7c644, 0x9f66a428, 0x917fbe40,
+    0xde5723ef, 0x91bef1c9, 0x193f2aec, 0x40e77ef8, 0xf0872827, 0x597c5b59, 0x84b15aca, 0xd8486caf,
+    0x5f441e5a, 0x05b071f8, 0x5c8b2f35, 0xdb25879f, 0x84a04c4e, 0xb8cfe53e, 0x0fba2371, 0x241314f2,
+    0x36a68bbd, 0xfa49b8a5, 0xa6f4a8ea, 0x75fc2c70, 0x88d392eb, 0xd218b337, 0xea987cbe, 0x9110ac65,
+    0xdbc91dc6, 0x6a264141, 0x7bc3e767, 0x643b99cf, 0x71cf7e55, 0x8a6572f0, 0x32e05d4f, 0x591bfbcc,
+    0x26c05647, 0xbe62a7f9, 0x4c7b99c0, 0xa965ec4a, 0x4a9986fd, 0x2b555aee, 0xc0c7a3b5, 0xf44a0689,
+    0x5662a978, 0x2cd19af3, 0x1866be67, 0xec3dae89, 0x4d62e1cc, 0x81a77f47, 0x97d597c8, 0x695e4aeb,
+    0x2ece23ad, 0x2e5dc707, 0x4a53c84e, 0xb27a8fe9, 0x99f96e1f, 0xe0b19cdd, 0x49c77dbe, 0xaeb94ac7,
+    0x5c780034, 0x1864d930, 0x0f4c69e5, 0xfc2d3e5b, 0x19bdd058, 0x81049f81, 0x710f265b, 0xdb4260f5,
+    0x4c826005, 0xbe49aefb, 0xf10250cf, 0x87cf36ab, 0x4a76c241, 0x812a7a46, 0x2ad7ce83, 0xd7e0c63a,
+    0xc0821311, 0x3faaccff, 0x82a2809f, 0xb048c79a, 0xfd611f24, 0xfa51f7e2, 0xd314c5b6, 0xa7148cbb,
+    0xa3407539, 0x1efc8b98, 0xed631f65, 0xd32f1ec1, 0xb9af241d, 0x4a4855f3, 0x92474646, 0xdb7ac1dd,
+    0xae66546c, 0x66b8f062, 0x45ebd33b, 0xdbd86c12, 0x6f96d73b, 0x40bcba84, 0x5bdc3f9d, 0x31615fb6,
+    0x1d785fef, 0xd1bfdbab, 0x18fb7e4d, 0x98939349, 0xa288e96b, 0x9cd25f49, 0xcbe67a17, 0xbb094eff,
+    0xe5aff456, 0xecc41ca6, 0xf9e81219, 0x1558d8fd, 0x2487771e, 0x25a98589, 0x9c637edf, 0xc351612f,
+    0xefb9f9a3, 0x5425959f, 0x9440cdb5, 0x00dd7e48, 0x9cff150f, 0x8bf5c6c6, 0x98b15c87, 0xf6d2b240,
+    0x00000000,
+    0x14bd0a79, 0x76d05527, 0x8ab83170, 0x66bc0858, 0x461e98be, 0x9254dfdf, 0x1314ac5b, 0xa4ea8072,
+    0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000006304320991423116673964646416022978208812\
+                          75828327447146687172694467931548343955369782628260078158650252906047844909056 */
+  { 0x00000000,
+    0x8a303f7b, 0x75403c1f, 0xdad6261d, 0xa1a4ea45, 0x1580cf79, 0xa95024ff, 0x595a0e26, 0x6f1c7533,
+    0x2401e063, 0x282bf191, 0x8574fa98, 0xb3a1649f, 0x2d1d5b46, 0x88365e5b, 0x37c29362, 0x81fd24e9,
+    0xfeaf1c8b, 0x6aa53d63, 0x9ba5c3fe, 0x6f6c170a, 0x4c5d9f65, 0x0ffcc13c, 0x7adaaa6b, 0x31f2e942,
+    0x288ed0b3, 0xbde8d4a3, 0x7e71ac63, 0x3578a33d, 0x06105c85, 0xc5824e27, 0xb39612f9, 0x94818d29,
+    0x46d7351c, 0x7d9f2636, 0x94ea97e5, 0xef0ff199, 0xd93899de, 0xced15562, 0xde5ccd77, 0x08ffd16e,
+    0x5f08c27f, 0x1bad3bba, 0x283e4602, 0x969db33e, 0x684f9d81, 0xa3b2c96a, 0x3474f8c0, 0xc2c761ca,
+    0x14e552c2, 0xf34f7e59, 0xc26d4a06, 0x0a149bb4, 0xc320121a, 0xae90302b, 0xaa7dd423, 0xd7fb92d5,
+    0x47edb5a5, 0x351acbaa, 0xa974c1d0, 0x34211930, 0x5a4cf776, 0x3d3a6274, 0x4b7ee633, 0x872d73ee,
+    0xa9cb404d, 0x7715dc30, 0x028054e8, 0x7a92bb9e, 0xf4853109, 0x257b9c22, 0x49c885f3, 0xa0cca3e6,
+    0x37c37c83, 0xe41c8468, 0x1be8c633, 0xc6e92a3c, 0xcc4590a3, 0x8cff281c, 0xdd3c27c1, 0xa180b655,
+    0x87a56e39, 0xfc8d4bdc, 0x7ceb841c, 0x8644f21d, 0xd28f569b, 0x198375b2, 0xe6cd4188, 0x86abc80f,
+    0x0bacc311, 0x5dea525c, 0xfbd48202, 0xfbd2ca08, 0x39f5310c, 0x0b7da60a, 0xec3c66db, 0xea671987,
+    0x2a390a49, 0x90428bb4, 0xfdb9cf84, 0xf53d5f66, 0x4c2a636c, 0x8a9973c4, 0x0726f07e, 0xb55d7f85,
+    0x4f7a0657, 0xb9ae5d11, 0x9d7618a3, 0x64c01e0e, 0xc2dc0c0b, 0x27eca244, 0x365ed121, 0x6614e9e7,
+    0xf93d20ce, 0x05acbb87, 0x519b4244, 0x516d3b9b, 0x7e4f1d80, 0xaa1df696, 0xb0eaa6f4, 0x9c3dc6ec,
+    0x6162bc02, 0x2136fa46, 0x8ab329c2, 0x0b0085f8, 0x9bf5c08e, 0x17c735c3, 0x3e3ee7b2, 0xf99fb5d2,
+    0x2bbab3ed, 0xd26a28bf, 0x48720bc7, 0x3ba8765c, 0x02f91f17, 0x6efb732c, 0xa4249b39, 0xd8027aca,
+    0x2ab3a164, 0xf32f6e5a, 0xf7871ef4, 0xc79a91f2, 0x8efd0eb1, 0xda4f7b09, 0x51088def, 0x9b1053f7,
+    0x9f03b64e, 0xbb556372, 0xa525f224, 0xc1eedaf4, 0x1aa3a031, 0x526bd78a, 0x39e03887, 0x5d141216,
+    0xb9a8e44d, 0x3dc1d04b, 0x24f2a47d, 0xaaa85042, 0x969a874c, 0xe91659a8, 0xb86c4cbb, 0x427ac834,
+    0xf7ad0adc, 0xe0dc84ea, 0xe7332d19, 0x31b98ca5, 0xc0597508, 0xca4672e0, 0x0b40a956, 0x2179ddda,
+    0xeae873f2, 0x2dc90d2e, 0x1717c297, 0xbee7dc7d, 0x212e5f23, 0x434992c6, 0x983cc01f, 0xffb92096,
+    0x392969ce, 0x543d96e3, 0xd715a27c, 0x0818e041, 0x3e7190a3, 0x10219398, 0x112d5705, 0x0ce03a37,
+    0x61545fe0, 0x26023b46, 0xe6e5aea0, 0xceafabfc, 0xf7c62894, 0xefa309e6, 0x2b5b3772, 0x0c795acd,
+    0xd5294197, 0xfb8b932a, 0xa4e2811b, 0xe678ff98, 0xa1b1fbf7, 0xa09f13bc, 0xc8d54583, 0xeb636656,
+    0x13b9167a, 0x9f27b0d4, 0x439dab05, 0x75780778, 0x8cbca402, 0xd9f63def, 0xba142eef, 0xd5746a8b,
+    0x1c58047c, 0x523c7d67, 0xc4a2ee37, 0xb9d2d9aa, 0xcdcdb6a1, 0x06894d88, 0x0edfd21f, 0x1f11181b,
+    0x0d72a258, 0x56140556, 0x886a6f2a, 0xf9d5ffa4, 0x6dd6a38e, 0x0b0dab78, 0x22a410f4, 0x082e600c,
+    0x36c9242f, 0x0ef1b728, 0x751bdf57, 0xa8771ae0, 0x00b778e9, 0x38037512, 0x45b6e101, 0xc9455871,
+    0x8e29a6a2, 0x5b7d296f, 0x4158fd30, 0xc0b7bf0d, 0x58102aa6, 0xe101c09a, 0xf42f25c0, 0x3f0d44a5,
+    0xb9a837be, 0xc2714d98, 0x44aa106c, 0xe9135f1c, 0xf303871b, 0x8e55ee0f, 0xdcb30649, 0xd3016854,
+    0xe0fd59f4, 0x38e13cee, 0x82aee46c, 0x454af4ae, 0x9cff460d, 0xf173c3d8, 0xcbb9ab3a, 0xbd663e8b,
+    0x754c9cab, 0xac3a890e, 0x4407a889, 0xfe4e8025, 0x3af84ef8, 0xedaacb82, 0x9f461d3b, 0xf93eafe1,
+    0x27c676c1, 0x70b1ccf6, 0x720cb5ca, 0x480a658c, 0x85ca6be2, 0x60d82089, 0x60d76a33, 0x9074eb94,
+    0xc899a4aa, 0x0691b1da, 0x7de0f1ad, 0xeaec4bba, 0x8ca2c1f7, 0x9e2ce4b1, 0xaf4171df, 0xbd856901,
+    0xc212e8a4, 0xff4c322a, 0x6ce740b9, 0x9548e352, 0xa9ca5c39, 0xf954eb9e, 0x322e2b21, 0x65044712,
+    0xff61e02f, 0x4bc166de, 0xb2bed20d, 0x6b2f7dcc, 0xad3bf01b, 0x95e247b0, 0xcd01d59d, 0x7feb92ea,
+    0xcf0b46c1, 0x0392fe89, 0x51a9bc33, 0x4bff1014, 0xe996b116, 0xb535ff70, 0x3b6ca7d9, 0xa26a90cb,
+    0xa75806a2, 0x1f920534, 0xff2b84bf, 0x9ea5a831, 0xc480ad03, 0xc7dcd4c0, 0xc325d8db, 0x9b4dbc43,
+    0x81746e93, 0xb533d34e, 0xdd392457, 0x99c2c24d, 0xdcfd815d, 0x3f18031c, 0xd513a367, 0xec95f243,
+    0x2e82667b, 0xd17379fb, 0xd511101e, 0x5b6794f0, 0xd1459d1c, 0xcb9a4741, 0xd568df70, 0x25de3aa9,
+    0xb08e1178, 0x957bf2b5, 0xb869dd8f, 0x76b05859, 0xfcfadfab, 0x340ecc28, 0xcf102f50, 0x314ecf75,
+    0x36615ede, 0x8477cd3b, 0x7c09cae4, 0x791191da, 0x59b50f0d, 0xfbc676ba, 0x5daf21b2, 0xf323971f,
+    0x56c060ae, 0x3271bffd, 0x779b27d4, 0x174c2c7c, 0x55a09c7d, 0x4b1496fa, 0x36627aef, 0x379da582,
+    0xf493d917, 0x6a01dbb7, 0x9beb1d93, 0xca997620, 0xea4ab248, 0x7453d2e0, 0xdf68a34f, 0x4f99ce62,
+    0x98498f17, 0xd62c0bb6, 0x09a4b790, 0xfb04a3e0, 0xe4e99453, 0xfe9c2df4, 0x1f80a728, 0x94a8d0e2,
+    0x6c70cc1d, 0x9f36190a, 0xee194111, 0xb9ac5616, 0x12367b71, 0x15eedd6d, 0x81166e44, 0x0ca8f41e,
+    0xe677f1ba, 0xf1401e36, 0xee71ae89, 0x5e139bd2, 0x43598411, 0x00d80e84, 0x9c65a206, 0x9cb302b7,
+    0x426f3314, 0x3db83853, 0xf69e7e91, 0x54bf1169, 0x1343b58d, 0xce748b9f, 0xe340a1ff, 0x58bb3faa,
+    0x7d7e7213, 0x8fa2eab1, 0x4f6c262e, 0xf5ab2ad5, 0xea4f399a, 0xc7660cca, 0x45d00118, 0x6dd21bdc,
+    0x26b1bb28, 0xaeca57c4, 0xf494a2ec, 0xb55ce00a, 0xc3f29740, 0x4a755f09, 0x6dd7df49, 0xbb68ffd8,
+    0x42049e45, 0x22574e4c, 0x8b36bf4b, 0x95ff6515, 0x45254b4d, 0x0f56a07e, 0x2c375799, 0x315fa3bc,
+    0x4438ad0e, 0x5223b804, 0xbe04c6d1, 0x45f3f07f, 0xc521d7f9, 0x3538fa85, 0x35f42044, 0xf63d7d95,
+    0x4c00d81c, 0x7b475de0, 0x97c54501, 0xb9a526c8, 0xbf803da4, 0x63eaaa90, 0xe7bc957f, 0x73dee3a5,
+    0xc2307465, 0x676431d9, 0x1473e6b5, 0x927b5b9d, 0x19a7f32a, 0xba86a80d, 0xec98f3e3, 0x0fc15cbd,
+    0x81d92657, 0xe19938f5, 0x4b95c091, 0xa7195848, 0x7a7ec1be, 0x581c3834, 0x14bdf045, 0xf58bf6d2,
+    0x0f30b9bd, 0x516eeb86, 0x6adca743, 0x31a2cb34, 0xf67ba771, 0xb28d4618, 0x12d29378, 0xdd47adce,
+    0x10e72f04, 0x56b47987, 0x0f896c4e, 0xd19a68ad, 0x3a17292b, 0x22360fab, 0xfa94bca2, 0xc9946189,
+    0x2224c26d, 0x560de408, 0xbee65b73, 0x43d0ce5f, 0x69f861b6, 0xdff795f6, 0x56de64a8, 0xd4b80560,
+    0x975101a4, 0x5c31f72f, 0xe167ac6f, 0x337b74b2, 0x32615786, 0x023c2274, 0x037d1e74, 0x760c0263,
+    0xeb66b5bc, 0xd1625fb5, 0x2049b924, 0x04192ac7, 0xfd08f0ec, 0xa3e8ca0c, 0xe6a9622c, 0x8e0bf241,
+    0x74cbb0f0, 0x870ccafa, 0xcab5559a, 0x780d9c1d, 0x5378438d, 0xb7bd0700, 0x725bcc08, 0x87fc5a6d,
+    0x859a1051, 0x295b345d, 0x0e9d6513, 0x798e07bc, 0xb55a5cde, 0xceb38371, 0x97e31071, 0x890fb990,
+    0x84bb0ca6, 0x5f64f021, 0x73e3d443, 0x104d9413, 0x030aab0b, 0x37eb0633, 0xcdae7635, 0xc42c2f96,
+    0xb69bd8b8, 0x20687da8, 0xae854bf8, 0xb9ef0025, 0xf641fad7, 0xbdda29f0, 0x977e8c2b, 0x20b26df6,
+    0xdfb1ec3d, 0xce254d41, 0xbd6f2cf7, 0xe78facf1, 0x0bd7cb41, 0x0383b6b1, 0x89c6df70, 0xbc6a738b,
+    0x00319a95, 0x61b6f504, 0x04491115, 0x4951b067, 0x43ddb484, 0x2b13d255, 0xa23ed1ed, 0xe257c848,
+    0x064a3006, 0x4b8a8374, 0x9629a4c8, 0xbb4ccc6a, 0xc8729ee0, 0x3ea14c9f, 0x314aaead, 0xcd420b6e,
+    0x72625c28, 0xc3c24e48, 0xf65b773c, 0x5e98f455, 0xe3974c31, 0x7da1a4da, 0x31eb6f9d, 0xe0cedbe2,
+    0xed260894, 0xe3aec1e1, 0x9081a7cc, 0xdacbe5df, 0xdca19962, 0x4db614f8, 0x457a1f41, 0x99dd319c,
+    0x9fe6a845, 0x381b9122, 0xd99beb98, 0x55f41900, 0xafd1fb4f, 0x70e84d17, 0x860e5854, 0xebdfc0ca,
+    0x363129d0, 0x71d92392, 0xc6859d4a, 0xacbcdc82, 0x2b99b6db, 0xf3474410, 0x023d8aaa, 0x5c3fabc4,
+    0x460486df, 0x5bedd191, 0x2e976d6a, 0x9755bb29, 0x958dd4f9, 0x33bb4e7b, 0xf0431ab5, 0xaa3a23ee,
+    0x90e2af97, 0x24f2e4d9, 0x89af39ab, 0xe5bc368d, 0x2647cda2, 0xfe84644f, 0x5168736e, 0x6e622b8e,
+    0x2a9dc36d, 0x1d380428, 0xbd7538e3, 0x213e94fb, 0xb753e301, 0x44b6003f, 0x63453632, 0x4ac4077c,
+    0xc101b586, 0x184cd021, 0xa89932a5, 0xf3cf62e4, 0x128455f2, 0xface956d, 0x340cc70a, 0xbb2e1a28,
+    0x02fa0175, 0xb2913f36, 0xb5a10f00, 0x4f4081fd, 0x13f85f7f, 0x4b1e878d, 0x23360299, 0x554aad8d,
+    0x804ffda7, 0x574c9b30, 0x74f2fc19, 0xdd99c61c, 0xd001dfd4, 0xfb9093df, 0xbe57bf0c, 0x566137f3,
+    0xeebe4b9a, 0xffd0f47e, 0xc7c93142, 0x8fc007b3, 0x5f869aa4, 0x07f4d30a, 0x91aac2d3, 0xe39c3392,
+    0x3e161ca9, 0x95d1a226, 0x4d454764, 0x9fa3121c, 0x0e161d93, 0x0d941e25, 0xb38e0741, 0x47c28257,
+    0x3463a903, 0xaefca77a, 0xd67a5b67, 0xea0c6413, 0x848f13ef, 0xce6a72ed, 0x5a08a015, 0x81f49bdb,
+    0xcd2b617d, 0x9bc03ee9, 0x354ca4b2, 0xcf82bc11, 0xfc02e8c0, 0xaef02d8a, 0x50bb0825, 0xa20d73c4,
+    0x1be0ade2, 0x9f932b0a, 0x7ef1dc2d, 0x61130eb4, 0xd7f44bc9, 0x217ca807, 0xf3a086f1, 0x447df131,
+    0x96a9d6fb, 0x6552160c, 0xeb16892b, 0xfb7faae9, 0xd39ca115, 0x5f8b3b49, 0x05c201fa, 0x7e70aa99,
+    0x84fa502d, 0x75382c78, 0x42d9a24f, 0xd3b7de15, 0x623b00c9, 0x1648cf1a, 0x949ac4e0, 0x8b0ceab1,
+    0xd838b617, 0x15dc0c58, 0xf49da815, 0x5bc81ae9, 0xa5dc482e, 0x4ac8dbc8, 0x089bf757, 0x4c2efc1a,
+    0x52a095f3, 0xd6e59207, 0xa593c819, 0x04ff4238, 0xbcbaf0cd, 0x37910f6a, 0xd2ece67e, 0x91b8422f,
+    0x98ed34eb, 0xaa30dafc, 0xa87474d3, 0x8f94c11e, 0xe34fc7d9, 0x1d01cb8e, 0x990f741c, 0x70503a2d,
+    0x1791f103, 0x16143c6b, 0x4ed6ba1e, 0xab9b61de, 0x684cd460, 0x37a98f56, 0xb053bb4b, 0x2c9c7dba,
+    0x576aa12a, 0x504fe436, 0x2a2037e3, 0x9ba42829, 0x27600656, 0x9d6da0d8, 0xb8c9f903, 0xb8d5aa4c,
+    0x635a26c1, 0xcd9fd08d, 0xddf84984, 0xceca10ae, 0x6bbfa9e8, 0xc0f8e9ab, 0x749ecc7e, 0x46d25b43,
+    0x295fb4c7, 0x8f932f9a, 0x0815c249, 0x6cfdede4, 0xa5b78bc4, 0x8a48425d, 0x27307ea8, 0x8cdf4ac7,
+    0xf561be6b, 0x3284c095, 0x454c5878, 0xf78dee8c, 0x0160242f, 0x1fc2cf16, 0xb9b257ee, 0xb50e0330,
+    0xa3efd403, 0x7114a705, 0x33789e8f, 0xb1cb87b3, 0x264cc149, 0x5153d6d4, 0x1bde5695, 0x075436a2,
+    0x8695727e, 0xd4fbcec0, 0xe6a3c77c, 0xd9e34db3, 0xca10829f, 0xeb20662a, 0x3e5e0305, 0x2ddc144b,
+    0xd0f17d2a, 0xff7e15b1, 0x3816e33f, 0xd3eed71f, 0x1b52abe9, 0x650464bb, 0x8b981a48, 0xc28ef513,
+    0xe1e67b73, 0x92ea190b, 0x17c7f121, 0x54826a85, 0x51a29be8, 0x56bf6014, 0x0bf1c331, 0x116b55bd,
+    0x83fc7dc9, 0xd2f2043b, 0x9365a4fb, 0xaa110997, 0xf31677cd, 0x78f36967, 0xd028aa88, 0xc5bea5e0,
+    0x953adcc9, 0xcc4ecb68, 0x7e844fa0, 0xb3425b76, 0x71271ceb, 0x072eeb6d, 0x5c41dabf, 0x9fbb3a9b,
+    0x48ba5795, 0xdb3af2f0, 0x3c22c00b, 0x01eaf339, 0xdff57245, 0x14f2188d, 0x087e203b, 0xb26b35df,
+    0x2cffb3ca, 0xcb44769e, 0x2811da0e, 0xe86a5c91, 0xda35a5e4, 0x28b05b62, 0xd2abfeab, 0xfaf3763c,
+    0xcf368887, 0xf8538413, 0x29f7c5c5, 0xd76b57e1, 0x8c2399a4, 0xb906ee48, 0x8fc08eea, 0xc8b2640d,
+    0xb06b23aa, 0xdd6b2767, 0xe6930509, 0xde5c47ab, 0xc4a22baf, 0x635d6e22, 0x4bfda7a1, 0xf911caf9,
+    0xee0d98d1, 0x14367e6f, 0xdbfc0e0a, 0xfb469ce0, 0x9a24f3fb, 0x4e74cb89, 0x616d558f, 0x874174b5,
+    0xea514eea, 0x44db6060, 0xc1e61ae5, 0x2dff4eec, 0x2c446045, 0xf99e6c24, 0xefb66146, 0x70f77bcd,
+    0x63c0183e, 0xfe825854, 0xb86f5025, 0xd92afb7d, 0xb6faed71, 0x3a0f1604, 0x6c8be983, 0xbf358d44,
+    0x1a546869, 0xd27791fd, 0x94bc5266, 0x7378a703, 0x518b4e11, 0xaac01666, 0x37649521, 0xce63f326,
+    0x5937b83f, 0xe8c02713, 0xa0e2153a, 0x77afad16, 0xeaf454da, 0x99be299e, 0xbeed4312, 0xc9ee5214,
+    0x9d2520d0, 0x901df699, 0xebee19a4, 0x93a3d2d4, 0xaa57a82c, 0x5f34509a, 0x024a4678, 0x17902515,
+    0xc6575adf, 0x35fe1c88, 0x1ea30b2f, 0x934ef3f6, 0xaa195104, 0xc2f726e5, 0x0d6af7be, 0x6f2dcf4e,
+    0x3038e7f9, 0x15b0e65e, 0xd45a6ba8, 0xa6d24ca9, 0x992e85cd, 0xe5a8cc91, 0xa6a70e65, 0x21ae3752,
+    0x4edf2083, 0xcb1bfa9a, 0x7ceda377, 0x58303206, 0x32cac2a9, 0xfa4c0895, 0x71420aeb, 0x18e1dbbf,
+    0xcf9402c7, 0x76873001, 0x601b3ded, 0xe52b3967, 0x9799e744, 0x22250afe, 0xceb0214b, 0x473cdae7,
+    0x8f41e950, 0xd3066977, 0x97b04aa9, 0x0eae2832, 0x365f45f3, 0xad89316f, 0x2378f17c, 0x4807fc26,
+    0x9ff80502, 0xc5b3d45f, 0x7e109fd7, 0x9bcc2f5a, 0x56447992, 0x3add5f46, 0x221c6458, 0x45cbd95c,
+    0x7b84dd08, 0xa95ac336, 0x6b392d2a, 0x61a2a584, 0x42473c38, 0xd7f0d443, 0x2e3ccaba, 0x5533b6a0,
+    0x43b2d750, 0xbd4a62be, 0x2e849b2a, 0xaac94991, 0x1466a0c4, 0xa376817b, 0xa4d0448a, 0xbf557bd8,
+    0xa34f8938, 0xaa738f47, 0x3fb95c13, 0xee0d48bc, 0x0dbbb123, 0x33ef1e13, 0xaeb28ca6, 0x2451c22e,
+    0xa1293d65, 0x3a628e23, 0x2c778f78, 0x6d7fd0e0, 0x467528b8, 0xff4376c9, 0xc904b558, 0xe0aaa1a6,
+    0x261afc43, 0x8e9f7421, 0x93c0c799, 0xa9a118df, 0x5de9ab4b, 0x6de2538d, 0x7ce90d4e, 0xf7115d0b,
+    0x4f288a42, 0x193e399d, 0xc76a1638, 0xd1071964, 0xd70271e5, 0xc648a1d1, 0xca9b284d, 0xc5296690,
+    0xa4172715, 0x35f4e57a, 0xf462d3d1, 0x69834d08, 0x86127db5, 0x51cff995, 0x0ba82764, 0x42a201da,
+    0x100db6f3, 0x4fc4e329, 0x2e5a40f4, 0x2ef92a3a, 0x0738e58b, 0x35942121, 0x53d37eaa, 0x992e8dd1,
+    0xc9d8c499, 0x79256dc4, 0xee29d5ca, 0x73db3ca5, 0xf4ee41f8, 0x435e525b, 0x91f62a16, 0x9cee23c7,
+    0x64506d7b, 0xe19251bf, 0x3cb59b86, 0x540ddb35, 0x59b66952, 0x37c8b36a, 0x5b3c3f86, 0x81633fde,
+    0x1db23662, 0x9e6d50ed, 0x94327efe, 0xf3cab86d, 0x17931769, 0xe1637cb8, 0x09213472, 0xb1bec3f5,
+    0x00000000,
+    0x8a5e853c, 0x3b682a93, 0x455c18b8, 0x335e042c, 0xa30f4c5f, 0xc92a6fef, 0x098a562d, 0xd2754039,
+    0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000003152160495711558336982323208011489104406\
+                          37914163723573343586347233965774171977684891314130039079325126453023922454528 */
+  { 0x00000000,
+    0x0d6ad3ff, 0xcaf430d3, 0x1a4280ca, 0x618324df, 0x141ac6f7, 0x67d24561, 0x14fd4e13, 0x081f26cc,
+    0x957141de, 0xdc7efa4b, 0xb6dc60ee, 0x164481af, 0x0dea8c17, 0xe4b118aa, 0x3664921e, 0x063a026c,
+    0x13f6880f, 0x1d92a49b, 0xf1fed4a1, 0x04a48ff0, 0xebee49c8, 0x09e43c82, 0xb0fd57ae, 0x0927e32d,
+    0x91024832, 0x14441028, 0x7192a9b4, 0xa13f3aff, 0x2709fb0f, 0x58addd6a, 0xe7ed54a3, 0xaa740eab,
+    0x03ea2473, 0xec127612, 0xa3838378, 0x4c296006, 0xfc1c0e06, 0x4db2060f, 0xb78da1e1, 0xae0227d1,
+    0xcaf8a3be, 0xb8ee1fb5, 0x18e04ec3, 0xaa9c6403, 0xf701e67c, 0xc47b8ea1, 0xcb3f6a56, 0x0a9f1a6d,
+    0x08a14664, 0xa1f73196, 0xa8b837f9, 0xf25da3b3, 0xdaba65f3, 0x47ba3539, 0xf1c0c14b, 0x646bac6e,
+    0x04b6f037, 0x498e6dd5, 0xe430c825, 0x78a89363, 0x9b49f447, 0xf8dfae59, 0xb9718918, 0x42116970,
+    0xe6c69806, 0x9ef31176, 0x2ed1f334, 0x48b6b8e6, 0xf01eb524, 0xe0254fbb, 0xdb370de5, 0x14d1c1a7,
+    0x86dd1511, 0x06ad2e1c, 0xabce4816, 0xb4c1d5c5, 0x00b18581, 0x41a6342f, 0x47fab498, 0x86c365db,
+    0x0c8919fc, 0xa831b5c2, 0x768264e2, 0x01082600, 0x39fdb7b4, 0x8d070296, 0xd02596c8, 0xe4a0c4d4,
+    0xcf838dc3, 0xb0f218ba, 0x0855e784, 0x1e3c2136, 0x35581d3d, 0x2580a100, 0x7a6fb40d, 0x1390fe8b,
+    0x866688ac, 0xf00cdbee, 0xd11cfd8a, 0xc37b0c35, 0x3771c4b8, 0xe509b89b, 0x0cebfba0, 0x022af916,
+    0x651da9b0, 0x76d59068, 0x1cbeb636, 0x7ecce0e8, 0x22b072ed, 0x75c142a2, 0x48f118a7, 0x6c8736e0,
+    0x1bc85891, 0x244cffbb, 0x85bf00e9, 0xedecca93, 0xee5fb888, 0x38981de8, 0x92c79e5c, 0x8a5ae388,
+    0x38318f66, 0x6f94196a, 0x9fe231c4, 0x4c1ba017, 0xd817ee45, 0x25d9c743, 0xfc7d8394, 0x3ff83226,
+    0x5bdcc97a, 0xb9676b0f, 0xb5fb1b4c, 0x1be1b409, 0xe224eb6e, 0xfdec57f7, 0xf73c98a2, 0xd22a7fc6,
+    0x79a6070e, 0xf96a11a0, 0x46041781, 0x5f8f60e8, 0xe6727391, 0xd57ad28e, 0x7774c8c1, 0xe613c5c4,
+    0x476c5e29, 0xb6bb6b02, 0xd7ca8c68, 0xd8876c27, 0x76cc835b, 0xb4c53000, 0x0ff503e4, 0x4962218f,
+    0x40c6138e, 0x0c074a72, 0x0b02709e, 0x340cd79b, 0x5d2b018c, 0xc870c259, 0x9c6765db, 0x467aa73c,
+    0x499e7c50, 0x33832e27, 0x7e3a4f7d, 0xe7e1559a, 0x3060a5df, 0xbfa75389, 0xd3898da4, 0xbec53ac4,
+    0x8bb5feec, 0x49f25be9, 0xb2ca150d, 0x7aa0697e, 0x4c3ddb48, 0x44028035, 0x62f70335, 0xeed817dd,
+    0x896a9821, 0x7ad764fe, 0x52856e48, 0xe534d841, 0xa9f0e4cc, 0x5e17f29c, 0x6aa0b63b, 0x99b6e1d9,
+    0x21be9a48, 0xaf62d844, 0x133c2321, 0x5d1a5948, 0xdbbbe46f, 0x648dbed5, 0xe0a109ab, 0xffcf2f70,
+    0xe851a8c3, 0xd05a83ab, 0x236a8750, 0x2079b9ec, 0x593308ee, 0xa98741dc, 0x1b657e30, 0x6f82b7ae,
+    0xfea06108, 0x911e85bb, 0xf3dea03f, 0x47d6a6f0, 0x5d1f3903, 0x1abcd301, 0x6c807ae1, 0x8743aa00,
+    0xd5fe5b8a, 0xe9508dad, 0xb17d076e, 0x25c32eb3, 0x0cb87abe, 0x42d16e3d, 0x0e5de910, 0x0a4ac660,
+    0x52891be3, 0x8f50b2ee, 0xca6ff09d, 0x96390e4a, 0x0e32cba0, 0x42555cfd, 0x4fc77a04, 0xd5b7b729,
+    0x04198147, 0x6e25eb9a, 0x979de02d, 0xee1808c4, 0x4f8cb794, 0xbe541dd9, 0xbf9cd3d3, 0xa8593589,
+    0x9cd3fa82, 0x388ed877, 0xdfde50a7, 0x52557004, 0x652dab1e, 0xa2a007d8, 0x37665aa6, 0x6c1135ba,
+    0x471cd1a3, 0xd3092e45, 0xcfd2a020, 0x3777b195, 0x39c65f27, 0x2d6aee52, 0x4718bb36, 0xabdbd809,
+    0xeea418c2, 0x3a8bdb08, 0x252c165d, 0xb284fa6b, 0x03498b77, 0x04d77d22, 0x92cd316a, 0xbd6c55a5,
+    0xf808de56, 0x1ac2bdb2, 0x3a07c970, 0x3eeb71f3, 0x9d0b72ca, 0x9bb62ab6, 0x6edb47a9, 0xf1bed926,
+    0x3cef0405, 0x5f1880bf, 0x2aaf1ec0, 0x22639e52, 0xaafaf0f2, 0xfa837596, 0x2ecbc264, 0xb5827faf,
+    0x101646f6, 0x3a15612c, 0x5a1b72fa, 0xb2e56b4f, 0xcdc16347, 0x3b24a37d, 0xc1eac35b, 0xc3df52cc,
+    0x6b07a44d, 0xa688b1f1, 0x9edcbf86, 0xc937ff5f, 0xde0f8149, 0x0244a838, 0xd7b92dfc, 0x41c40d4a,
+    0xe1b78e8a, 0xec0d8840, 0x96ffa9b4, 0x72593a0e, 0x7862fded, 0xa8c92996, 0xc0d8513d, 0x2d1ee401,
+    0xfda12199, 0x948c6aa8, 0xbc2d24d3, 0x4517fc13, 0xaaa45c44, 0x1eb72e22, 0x2c44042c, 0x22dd0027,
+    0x4d2ef729, 0x4dcc07a9, 0x699a9293, 0x5fa38f6c, 0xa18610bd, 0x39cda466, 0x247997b2, 0xad25fe5f,
+    0x6d46055a, 0x81fea0db, 0x6365a341, 0x9f4b140b, 0xdd03ad2a, 0xf15321c5, 0x0c2f6f8e, 0x6c964781,
+    0x1545075e, 0xacadf77a, 0xfe8cf6b1, 0x9e31797b, 0x93ee1486, 0x06ce640c, 0x4f8f48f5, 0x0bf0c787,
+    0xa1f3d27c, 0xa55044aa, 0x5446ec45, 0x5e433bf8, 0x3dc38db2, 0x8f085b2c, 0xdc5fea34, 0xc4047621,
+    0x3730603a, 0x9db767e0, 0xe55d890d, 0xefeeb9b6, 0x7d5b7a9e, 0x838ffe05, 0x084c3f05, 0x7954de56,
+    0xfaa83fe9, 0xf71c8440, 0x98fa0c92, 0x9735d268, 0xc9d582fc, 0x93a58bf9, 0x628bebce, 0xe9cfcec1,
+    0x8a585942, 0xb5427380, 0x8479f97e, 0x05206f11, 0xddc98607, 0xf95893c9, 0x4513213a, 0x0809f146,
+    0xb8530262, 0x8c2b74e2, 0x0901f968, 0x42b411a2, 0x9a114172, 0x09b78cc5, 0x69f88e59, 0x650e965a,
+    0x207e8f2a, 0xa0b7950f, 0xa950092b, 0x096c1131, 0x60ab735d, 0x79bfbdef, 0xad495512, 0x22451180,
+    0xd2f952aa, 0x3dcf4e9b, 0x7e477c7e, 0x67ee0cbb, 0x7e466f78, 0xc490f49a, 0x0f3d9f01, 0xbfd6962b,
+    0x1abc513f, 0x8aba15f0, 0x02f8b70b, 0xb1bd81e9, 0x434c26fa, 0xb0c479e3, 0x98d43163, 0x35737c88,
+    0xe7e94a67, 0xcd600835, 0x1fac7ece, 0x1b31a928, 0x7c9538cb, 0x939341bd, 0xeb4251f1, 0xef6102e0,
+    0x5d6f592b, 0x2fbcdb9d, 0x76b88336, 0xa9911c06, 0x0975434c, 0x6f302ffb, 0x0174ef40, 0x424107e0,
+    0x4dcb6167, 0xee71385b, 0x9cf8f895, 0xc49533be, 0x44e2e546, 0xfed2b5c6, 0xb062359d, 0x4136239b,
+    0x6ee5df37, 0xecb0dbe8, 0x8e1b05fe, 0x65d0eba3, 0x8b6cdfac, 0x4a04ad1a, 0x43214ff7, 0x2267fe79,
+    0xa1570633, 0xc69782d8, 0x0c791c96, 0x82c94dc8, 0xeb226361, 0x495b7228, 0xdc2a41f9, 0x22bb8203,
+    0x31ff8a1d, 0x3b4a2ee7, 0x3c273ac6, 0x9a7b116e, 0xbbde6405, 0x2461e52f, 0x79f5f825, 0xe88d5150,
+    0xa7064398, 0xe3844b1c, 0x9ad28d16, 0x3ee717f7, 0xe63549bd, 0x82531cda, 0x4ddbd49a, 0x98710aaa,
+    0x47e28ed0, 0x7a957634, 0x98f4eb30, 0xc0e1b024, 0x0f8561a0, 0xede1be9f, 0x103dcf7e, 0x97809208,
+    0xbba1002c, 0x3112ff97, 0x98b610f8, 0x705302d5, 0x8a57096a, 0xeedc3c5d, 0x895f3c69, 0xa60f7d0a,
+    0x49403e05, 0xf6e29ff7, 0x5e091121, 0xdd663f64, 0x064b5e25, 0x55a3429b, 0xce7fd7a6, 0x30ca8a59,
+    0x15b9c440, 0x18abfcab, 0x8871ff93, 0x172dbf6c, 0xb01ae6a5, 0x15cfe726, 0x2184dae3, 0xd6830ca5,
+    0x2aa6dcfe, 0x854c3e18, 0x5c344811, 0xf2a6f76b, 0xda1c3bcd, 0xb93fe9f7, 0x784b89a5, 0x5f5e66cd,
+    0x3167ccc5, 0x1ea9cdd7, 0x84d8308d, 0xe3388aec, 0x33c0a9f1, 0x7ea33cf4, 0x2b819080, 0x759e4a8e,
+    0x1054267d, 0xf39a582b, 0x9eda2282, 0x0a61a148, 0x3cea4e37, 0xc1bf1b2e, 0x3156e417, 0x9ee8c203,
+    0x588b09a7, 0xff93b0e9, 0x3a2b8081, 0xfc7c5678, 0xfb69c1d9, 0x4eb41461, 0x7b443bf8, 0x4f2edd01,
+    0x011fb26a, 0x2ffa7578, 0x4926052f, 0x1b590c06, 0xbfa4acef, 0x1f01454d, 0x4059a1f6, 0x61af8950,
+    0x029e62e8, 0x5ab41f64, 0x279e9f15, 0xd1fc9489, 0xf624999b, 0x205a5bc3, 0xbf2f4b5f, 0xfd1839cf,
+    0xd3486772, 0x77580464, 0x9b3dff46, 0x3ffc7a6e, 0xa1538afb, 0x239f9190, 0x22977fd1, 0x56121487,
+    0x48d94e1e, 0x1dfb3134, 0x97bdc42f, 0x2f3bcc29, 0x4f3256db, 0xff38a2ca, 0x732f439f, 0xde4f33e2,
+    0x3fc71f1e, 0xe4d5b3bf, 0xfc70fc73, 0x192f1963, 0xf380d22d, 0x91e0042a, 0xd621e1f7, 0x4213aabe,
+    0x7d92ddd3, 0x8a307a0b, 0xe519cf0a, 0xaff7508c, 0x958fb48c, 0x749dd1e9, 0x9763aa4a, 0x3609a83a,
+    0xc7a0fa79, 0x8c9d9edd, 0x422febbd, 0x6296a3c0, 0x8f508ef8, 0x27e44d1c, 0xd590eae8, 0xc41c5d6e,
+    0x8082f01b, 0x33e16fc1, 0x74c7ee6f, 0x0e72dcfa, 0xb49316c2, 0xb3912630, 0x4f59b5bc, 0x7d734a75,
+    0x2e0aed1a, 0x11d61dae, 0x5eaec97a, 0xa2080f79, 0x7dfe299a, 0x3f95e64a, 0x1ec828a3, 0xb20747f7,
+    0x25dd2e78, 0xafbc0b2c, 0x2e125e92, 0xe0b478ba, 0xbb3f4ddd, 0xf82423b9, 0x9f356f72, 0x99d87bda,
+    0x22c7bfb0, 0x3c4272bb, 0x362d15e0, 0x63b445b3, 0x1379d466, 0x03ebab80, 0x1b7bcef1, 0x03376f05,
+    0x1cd27cb1, 0x5e633a66, 0x1ac97363, 0x0eb56070, 0x7f9ba5fe, 0x434bdb93, 0x562be7e8, 0x8baee223,
+    0x78425196, 0x0ad98823, 0x54bc6d90, 0x9ef8b27d, 0x2af18f9e, 0x2d7c668b, 0xe16feff1, 0x3556259c,
+    0x3c508eeb, 0x3cb71bf5, 0xd0e7c1a8, 0x86063b79, 0x648a9563, 0x913c3e61, 0xb7348078, 0x4c0b1fc3,
+    0xcf51217f, 0x735a1b59, 0x52735856, 0x4b3fa2a5, 0xd9b1b65b, 0xfdfdc4bc, 0x89351882, 0x801b9cd3,
+    0x2f53dc08, 0x20a3eadf, 0xf6202cb8, 0x6e70ea72, 0x67583721, 0xa6e31463, 0x86bb7976, 0x640c792c,
+    0xd8add657, 0xd128cfbf, 0xfdfd4410, 0x7a05b7c2, 0x35890698, 0x25d27095, 0xf8aada43, 0x5ad4a1e9,
+    0xe65ca3d9, 0x66747d67, 0x8f421cff, 0x07ed4a68, 0x546a3945, 0x2a76a05a, 0xf28bbdd9, 0x426c5916,
+    0xcf86d6a2, 0xbd730a0f, 0x2a969ef8, 0x7309d505, 0x81caef94, 0x125ef250, 0x262e993b, 0x3a094211,
+    0x4c0cef40, 0x7e64b794, 0xed0812a0, 0x33eea22b, 0x11fee721, 0x6d8f5e87, 0xd4b00770, 0x2005f710,
+    0x6d194c22, 0xe9831528, 0xe78cc589, 0x35d35be1, 0xa1b38c25, 0xeec62d69, 0xc036f8fd, 0x6e75a2e0,
+    0x5972c075, 0x4cf42364, 0xc48345a5, 0x19112e79, 0xaaafb9b3, 0x8fd5ad05, 0x846e5a88, 0x74901af4,
+    0x177cc5d6, 0xf68ff96c, 0xdb196ddc, 0x3f791658, 0x28b5e382, 0x34b7922a, 0x10630e92, 0xe01e3be1,
+    0xf6ff5203, 0x903cb9dc, 0xdbd58042, 0xc946bcec, 0x06d3eb84, 0xd3ee7643, 0x3e70bbb0, 0xdec1162f,
+    0x5ee11aff, 0x24978242, 0xb563766e, 0x898abd25, 0x6ee425cd, 0xb27a5869, 0x17b12e27, 0x46391a5d,
+    0x1f3b053c, 0x2c7f0e88, 0x6882b4c0, 0xd4507e52, 0xc53ec859, 0xe7ac6d3e, 0x80532ada, 0x90e19beb,
+    0xc9900b6e, 0x02988b87, 0x14a5f13e, 0x350f384b, 0x335522cb, 0x09c25bbd, 0x79b4d8d3, 0xb353edd0,
+    0xaebd6974, 0xf75d9b92, 0x4fe9e83f, 0x8da853e7, 0xd7fb35e9, 0xd65ebdc0, 0xe07dca19, 0x7d844fe2,
+    0x7616618d, 0xca90054d, 0x4bf1c558, 0x73b04734, 0x270c6491, 0xc627ffe6, 0x1d24c799, 0xbfb86898,
+    0x00ead2ec, 0x75c03487, 0x5547ac60, 0x36047db9, 0x593ae1cf, 0x88c8087c, 0x34a06715, 0x9ae44952,
+    0x2c7851c2, 0x1f017b3c, 0x8f55173c, 0x2b285a4c, 0x7c81f6a2, 0x4fe94ddc, 0x8127acf0, 0xa1caaa19,
+    0xb4debba8, 0x542a4ff6, 0xf0e0d390, 0x06a02808, 0xba12b546, 0x99a7237b, 0xde0cfe16, 0x4e18eb7d,
+    0xbb87633b, 0xa406c379, 0x1e96f8b7, 0xf7754b98, 0x9a68e523, 0xed3fb967, 0x64239f4f, 0x91c07238,
+    0x8511f0d3, 0x3235f150, 0x4c71fd3e, 0x756011a3, 0xc0497292, 0x34562d1b, 0xd744e0d6, 0xc9c00a4a,
+    0x26f92945, 0x4dd8bb86, 0x53fc7a54, 0x7c68e208, 0x78e6f54b, 0xd611fd8a, 0x567c61ed, 0xb7684e6d,
+    0x376e9f8b, 0x1b1be8cc, 0x012c6c32, 0x60859e63, 0x6e74cc9f, 0x74ed7012, 0x8ac32a65, 0xacaa2a00,
+    0x8c388d6f, 0x5920f777, 0xaf9ece55, 0xb58fe009, 0x23ec7042, 0x8191aaba, 0x136b9e75, 0xc1ea1efb,
+    0x3b0cd827, 0xe2e9f514, 0xb0288b3b, 0xdffecec4, 0xb5455283, 0xdc043104, 0x77b1e5b1, 0xb2e00d6c,
+    0xf50369c9, 0x26e88507, 0x3449d9d5, 0x42160798, 0xcba15258, 0xb25dbd57, 0x197d4299, 0x519e8ae2,
+    0x9f229fc5, 0xdf9951e1, 0x15f97a44, 0xc9cde523, 0xe77cb169, 0x6f5380a1, 0xa7dee5d4, 0xbaa21972,
+    0x94864e03, 0x78e610e9, 0x9ec1077c, 0x25838ee6, 0xc9f10c35, 0x6db954b9, 0xc984528e, 0x547685bf,
+    0x221fce3c, 0x2b1dde07, 0xeebd457b, 0x7eae0002, 0x8ad8ac29, 0x529967d2, 0x47c1e35b, 0x10239c97,
+    0x9f32d8ff, 0x340aea10, 0xa19d7972, 0xcb2bb98d, 0x70dc19bf, 0x9d2b77db, 0xe8c074fb, 0x83140c00,
+    0x5d6e02bb, 0x7db7047f, 0xdafe6b55, 0x4decbe76, 0xb1ef2f3e, 0x672274ba, 0x7d2d1909, 0x3a5a2ff0,
+    0x473f2829, 0x92490b33, 0x128b0608, 0xc9ed3a26, 0x1bfa061b, 0x869aa844, 0x8a08435a, 0x2033a6d1,
+    0xbb5453dd, 0x99da2569, 0xc6e9c9d0, 0x9cb8518a, 0x2bd03f1c, 0x1f09732c, 0x9796df78, 0xc10e2bae,
+    0x45aec320, 0x09066ac3, 0xdaf0c9db, 0xaf634106, 0xf7358777, 0x7bdab67a, 0xc569377d, 0x1e3c6050,
+    0x6b04b8b6, 0x54b14b92, 0x49b74bbd, 0xabffa10c, 0x6e11a590, 0xc72f34eb, 0x42b5abbb, 0x29211405,
+    0x1048c8b4, 0x1e75559c, 0x68123806, 0xbcf4a217, 0x802fff06, 0xd993d272, 0x44267a4b, 0xcf49e4c1,
+    0xa61545ba, 0x109ea58f, 0xe997c4d1, 0x9fe99234, 0xb24f2992, 0x57be6d3e, 0x959fa728, 0xcca8b2d9,
+    0xbb50b918, 0xd05c21b9, 0x7fd6a34c, 0xcda6520c, 0x5b1ccf39, 0x3478298d, 0x2a9fd2b0, 0x5fabdf7d,
+    0xaba2ebf9, 0x471ecd35, 0xc9f5f1bd, 0x73a3e145, 0xd872f902, 0x8ccb9012, 0xc8bb2037, 0x07382020,
+    0xc1206800, 0x6093d7d6, 0x6a75d10f, 0x72ff4dd9, 0x137e7052, 0x00a33f06, 0xdc487f47, 0x0f3e6757,
+    0x7913a13d, 0xa8bcc416, 0xb7a31ebc, 0x8bd75512, 0xccfc34d7, 0x6d86fc43, 0xbfccffef, 0x3d366176,
+    0x5f411024, 0x345f9969, 0xf76b57dc, 0xf4e05c26, 0x35dbb4f7, 0x0417b7f5, 0x2dbdf990, 0x532cf142,
+    0x64cf78a7, 0x1b40d3fc, 0x00249753, 0x948dfefc, 0xae4cdd56, 0x0f64653d, 0xdeb42f6b, 0x0d268c1c,
+    0x7b309ce0, 0x9a2f1954, 0xc9e7cb6e, 0x827cb6e8, 0x855d358e, 0x9e8de98f, 0x1b2c2d52, 0x18bd491c,
+    0x418b3af7, 0x73003125, 0x6ebb6881, 0x6da5d8cc, 0x2846811c, 0xb869310f, 0xf2eff229, 0xeb9738a3,
+    0xe06c8d72, 0xa1b96972, 0xd63af83d, 0xc905f396, 0xa493184d, 0x89be750e, 0x4bc299ae, 0x5fe4c838,
+    0x71830a32, 0x3a426164, 0x50927067, 0x5ec700ca, 0x83ba87ba, 0x5583fc6a, 0x3670dc0c, 0x681fef68,
+    0x30e32a98, 0x9a86eb99, 0x048146c5, 0xe0d11468, 0x4238f179, 0xbffa1af9, 0x75733031, 0x62f1ee38,
+    0x14f977cb, 0x90af29b7, 0x2a4103cd, 0x7b373cc1, 0x358ad3db, 0x2cbccf30, 0xd7a0f590, 0xd5505361,
+    0x00000000,
+    0xc52f429d, 0x1db41549, 0x22ae0c5c, 0x99af0216, 0xd187a62f, 0xe49537f7, 0x84c52b16, 0x693aa01c,
+    0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000001576080247855779168491161604005744552203\
+                          18957081861786671793173616982887085988842445657065019539662563226511961227264 */
+  { 0x00000000,
+    0x9f04bcb3, 0x4f5a2e1c, 0x18af8b5a, 0x37fc1474, 0x88d99ad0, 0x8cd22637, 0x306723af, 0xfb86ebdc,
+    0x7d98cd70, 0xb7077ace, 0x336ab374, 0x4c05bcbc, 0x49054d18, 0x744160d6, 0x62050374, 0x6e10bb04,
+    0xe7ddfac5, 0x93607615, 0xcb58b16a, 0x93d4364c, 0x2ae84da2, 0x66fc7764, 0xd8a75db3, 0x77720d96,
+    0xbc9b5df3, 0x5e170c37, 0x38658d48, 0x1274c79f, 0x2cfce952, 0x5fafdbc7, 0x3d2aedee, 0x18e5e24f,
+    0x8506fd77, 0xf07011c0, 0x1c778305, 0xba34c649, 0x93e496b5, 0x1b6957d5, 0x01cbae22, 0x8abb77c1,
+    0x1931ddb0, 0x5c7bd219, 0xed0c0714, 0xcf74b0b4, 0xa480f35f, 0x684243ce, 0x0556008e, 0x17b4cec3,
+    0x1f655190, 0x7095d38b, 0x2845ee9b, 0xcbe61fb3, 0x1a226429, 0x8f0df169, 0x7341b488, 0x863dc032,
+    0x46f93cf1, 0x7150e590, 0xa3eeedfd, 0xad84a9aa, 0x3d2b6d07, 0x097a2ab1, 0x21ea1c88, 0x6cf60510,
+    0x2971b3d8, 0x7dc52619, 0xcb3263f0, 0x53ccd223, 0x31113a36, 0xfe860114, 0x40068915, 0x9203ef3a,
+    0x13226600, 0x8ea78f03, 0x6de18cd5, 0x3d5588a5, 0x49c243cd, 0x239167ec, 0x188a8fdc, 0xd13573ed,
+    0x3af24401, 0xbb3441f3, 0xa54004ec, 0x8785f6c1, 0xeaef3b6a, 0x02779ddf, 0x5440f212, 0x94c21a17,
+    0x78ae65bb, 0x9064cd5b, 0x5b8158e0, 0x78f98099, 0x83b8e7a8, 0x91f9e695, 0x7b26fd15, 0x4007cd7f,
+    0x71b4272f, 0x8612e662, 0x243ecc53, 0xe8af9489, 0x21fc3ab1, 0xcbce124a, 0x6a11c69a, 0xa9f9d964,
+    0x08f54895, 0x5e36c2bc, 0x99d27fbd, 0xc641beec, 0xa9a6aaa8, 0xef9c80ba, 0xcfa3eb7f, 0x31d1d426,
+    0x2f14b312, 0x1b06c7ca, 0xdffe0530, 0x9ee87ccb, 0x1339a14f, 0x9810a697, 0x02ab7845, 0x29fb6bd6,
+    0x24822cf9, 0xcae2506a, 0xd0b39a47, 0x40012209, 0x5c1bb464, 0x46e24815, 0x88e3ce69, 0x2be87b35,
+    0x18dd5a49, 0x62515e1c, 0xd2e44f67, 0x97e33133, 0x103b4427, 0x57bb2b65, 0x67c61110, 0x90f2cda8,
+    0x661148ca, 0x39369b73, 0xa0e7c379, 0xe5dc5511, 0x257afdd2, 0x65f04c72, 0x15fae18b, 0xe046d833,
+    0x84babcbd, 0xb0b9a667, 0xb9ef8fb4, 0x9db746b0, 0x7a967b19, 0xc06addd6, 0x75a83e80, 0x29ef3a42,
+    0xa8568e8f, 0xb6fe51a8, 0xe0014ca9, 0x718222e5, 0xc0caa5ff, 0xb705861e, 0x5dd8f745, 0x8d518c23,
+    0x5cb4800a, 0x55a77b56, 0x3a80fb72, 0xfbf33bf3, 0x6909c378, 0x69b79b23, 0xcfaabeff, 0x0e553bbd,
+    0x92b685b5, 0x53747cc9, 0x8ba6c04b, 0xce44efbb, 0x4f340e3a, 0xfeb44dda, 0xef33ac2f, 0xaa1b4857,
+    0x9b170366, 0xbafaf80e, 0x90d32647, 0xc0e8a8e3, 0xb39e20b0, 0xf0af494d, 0xd19df6c6, 0x9434cc1a,
+    0x9850a9e1, 0xb3b1d21f, 0xdcdf91e6, 0x923e3df9, 0x9897a61b, 0x98ae5728, 0xf8006106, 0x9abf636e,
+    0x4160ec8b, 0xf8cfe99d, 0x5ac112aa, 0x04e71438, 0xa33c89c7, 0x9c8a65f2, 0x7a941a23, 0xe1723836,
+    0xde9badeb, 0x40020c4f, 0x378483a7, 0x075b0323, 0x31e9d52e, 0x9624cbad, 0x3d16a6cb, 0xec229e60,
+    0x5b6e05f5, 0x04f24a70, 0x044581bc, 0x0ec645ab, 0x893900a7, 0x2451ec20, 0x858e5267, 0x790ea52f,
+    0x17f1b797, 0x11e1332d, 0x9250c3d6, 0xa46994a5, 0x69f3cb71, 0x8dcafad2, 0x13f41e82, 0x866112a3,
+    0xbdb740d9, 0xae204075, 0x39ff45ec, 0x9142de56, 0x89f91134, 0xbedf677f, 0x729b630d, 0x99159fcc,
+    0x8d36e025, 0xe72f4688, 0x99fa06d0, 0x437a6ea8, 0x261a6aaa, 0xfdd72d53, 0x598c79ea, 0xf68e0cf5,
+    0x3136d56b, 0xe56fe125, 0xdb49d360, 0x0fcd3d41, 0x1d662809, 0x00994d4b, 0x85fc03cc, 0x37fee4b2,
+    0x66d8b2fa, 0x858b7d55, 0x36cf8ebc, 0x4450e5ab, 0xf1161470, 0x02178310, 0x0b2f0bf1, 0xd9efacf6,
+    0x659b970c, 0x6f893caf, 0xaf37dedc, 0xc57d3eb0, 0xd0fec9a3, 0x1ce553d1, 0xf2b35e54, 0x5f55e68d,
+    0x4c6742f9, 0x3284e6ab, 0xb78ed9d9, 0x3fc87175, 0x10f64719, 0xdb922849, 0x8c4e0cae, 0x63ef947e,
+    0xa47de7d0, 0x7e718d82, 0x6f7cf0df, 0x2521f5a8, 0xc1149142, 0xaca16501, 0xbb4770a9, 0xda1c5bcb,
+    0xaa9ad42a, 0x1462c424, 0x4ec8f7d5, 0xc0d7f235, 0xa9f6fbaf, 0xa0d3b9a2, 0xf5c62f71, 0x474cc425,
+    0xb6c02b10, 0x6abfb4ba, 0x22d93afd, 0x492416ee, 0xc14868fc, 0xc5f438c4, 0xa71b25d2, 0xa9ec9d1d,
+    0xe748e608, 0xff389df7, 0x6fe12484, 0x9c9aa7e3, 0x9aa25472, 0x333ec040, 0x956017ed, 0x7082ec3d,
+    0x6b87e7fd, 0xe0ac3386, 0xb17733f9, 0xa38bccdb, 0xa1b1f747, 0x1a85c1b2, 0x6c872713, 0x03231f66,
+    0xdd275e82, 0x54082d3f, 0xc4d86e8f, 0x030533dc, 0xb584a106, 0x78e99de0, 0xd04e5dbd, 0x8553a50a,
+    0x93ae8b0f, 0x59f046d3, 0x7d74c108, 0xc13df80f, 0x0765ec07, 0x8d7b8eb2, 0xb16c9f8d, 0xb4bd72ff,
+    0x6ce4ce59, 0x0db05590, 0x83b7def4, 0xb66f8a27, 0xaa240a42, 0x241592d8, 0xc33fdd7f, 0x77a443dd,
+    0x80a0d1ce, 0x8928e532, 0x505740fe, 0xad7572ab, 0xc3f3a766, 0x76b60722, 0x0bc19c1e, 0x9ff5f0c2,
+    0x680746ea, 0xd8ec32b3, 0x6b4e939c, 0xbdf0449a, 0xdb045259, 0xe3bbedc6, 0x642376fe, 0x309ec0b7,
+    0x90d1bbdb, 0x635ac2a4, 0x192a8dea, 0xb0de27c4, 0x323d8ef4, 0x5801e8c0, 0x81e6c2e0, 0xa46f6e03,
+    0x77612c53, 0x1f8911da, 0x1eb34c59, 0xbb42be1a, 0x2899a0b5, 0x51d88bfa, 0xe7cdef1e, 0x0129cbe3,
+    0x3d167c7b, 0x4d3b4156, 0x324c51bc, 0xcef44396, 0x36687356, 0xc90bd619, 0x9f4553cb, 0x962303c5,
+    0xda677594, 0x947551bc, 0xddf84c1e, 0x6d023e3f, 0xb889cb67, 0x49fa767b, 0xbdc150f6, 0x81a02995,
+    0xce4568ab, 0xc448d3b0, 0x0ae51a9a, 0x3e483b28, 0xccb8e1ec, 0x5f6198c4, 0x1915cc3a, 0xed0887a2,
+    0xe66fbc9e, 0x59d32a88, 0x069f9ff3, 0xb636bb22, 0x49403579, 0x8c843c39, 0x2ccfed37, 0xf35f8054,
+    0x4f995111, 0x4e6f5575, 0x3a13bc50, 0xc539fb9e, 0x90950044, 0x13360ca9, 0x85f09fd6, 0x34269acb,
+    0x5c6a0ef8, 0x7a39ef3d, 0x0086ecaf, 0xbe9f33be, 0x1e266eec, 0x0b1fe823, 0x76002bfb, 0x510cc7b1,
+    0xd7871be8, 0x47deaaff, 0x4cab5218, 0x15db99e3, 0xb66b3f2d, 0x3f1ab4ac, 0x0d605e0c, 0x2d3996e3,
+    0x825baeb7, 0x76c87fe9, 0x9cda71b1, 0x17e7f735, 0xa1de27d7, 0xa30c6b60, 0xc558fdc7, 0xe55142be,
+    0x44236695, 0x2b9b41e6, 0x199190b9, 0x452e5883, 0x02724504, 0x26fd7bc2, 0x56eeb5d7, 0x6542987c,
+    0xe22b7f4f, 0x25fb538b, 0xdf98b1b9, 0xffe43c6d, 0x5a9dc56e, 0xa6343570, 0xff243b7d, 0xe60622e7,
+    0x8eb61163, 0x3851921b, 0xa4fddea3, 0x836c2775, 0x31e0e176, 0x9c055b3d, 0x65f0ecc0, 0x2e438558,
+    0x9895f876, 0x28adb293, 0x5f93875f, 0x1054b13a, 0xbcf460b4, 0x12866fda, 0xc34bee12, 0x963f1654,
+    0x3d26381b, 0x5ad48978, 0x68b8c8f2, 0xf864555f, 0x3e3b3439, 0xcd10206b, 0xd8567301, 0x1e30dfdb,
+    0x667dbe2e, 0xd2d0e15b, 0x6493baa4, 0x38a2f31b, 0xc7ba8bc8, 0x4570e518, 0xcb8e631f, 0xb72ac0ec,
+    0x3eccef95, 0xbe9a7966, 0x0765ac5d, 0x6fe3a35c, 0x1bbd160b, 0xb8e083f4, 0xc43b6ca3, 0xa874e6d5,
+    0xc02e8d40, 0x47bd0061, 0x84e7a054, 0x81007ba3, 0xf16c2a8f, 0x6d503619, 0x6f17a7af, 0x1c045894,
+    0xbd63ca0f, 0x41aaa72c, 0x7423b848, 0x1cca2391, 0xd0fe9794, 0x8d23225c, 0x8146f051, 0xcee2a5fb,
+    0x28e1750b, 0xa37b5998, 0xd86cb140, 0x9f367553, 0x28fd495f, 0xbba7364f, 0x7ffb9633, 0x5c6ca349,
+    0xadce4cb1, 0x6f4bda3f, 0xeffa720b, 0xb92e6c96, 0xf95ad263, 0x3f42b356, 0x2f669a33, 0xa79f23bf,
+    0x4d7eaca0, 0xf34d9f07, 0xaf08973a, 0xef602db5, 0x8362906c, 0xb0c575ce, 0xba8db2f2, 0x5eb16965,
+    0x949d551d, 0x29f2cf6d, 0x8500a502, 0x2e6eb670, 0xebbfec9b, 0xb2f1fbd0, 0x722ca176, 0xf67e1a8e,
+    0xfcc2422f, 0xb9e44a92, 0x2cf4f71b, 0x61d67508, 0x201699c9, 0xca0e217b, 0x54430c73, 0x8e72b88a,
+    0x7faf1982, 0xa83074d3, 0xef28a1b5, 0x886080ed, 0x9a67bc7a, 0x511f5c7c, 0x5f01c5bb, 0x9b647763,
+    0xb4c0bbe2, 0xd87f22ae, 0x80f04eb2, 0x16cc5f14, 0x56e172cb, 0x45e15949, 0x5c3fec32, 0x53fbb250,
+    0x5b806547, 0x353dc976, 0x67a8f923, 0xa28fbe34, 0x366584fd, 0x20090ef1, 0x45aa981f, 0xc53f1ec9,
+    0xd2afb29c, 0xae995427, 0x3e221164, 0x0f415916, 0x4f5a4bb6, 0xbd26b9ec, 0xf4a1fa99, 0x7b90caf1,
+    0x3794eaa4, 0x8f0921c2, 0xd5ef17e3, 0x8257e40b, 0xf27d704f, 0x2c35e731, 0x424851b5, 0xa3bf4a98,
+    0xab3b64bf, 0x0552709c, 0x9ff9d576, 0xd7ff4f62, 0x719f3a70, 0x2e170efb, 0x6181ced6, 0xf9b3d505,
+    0xf505557c, 0x4889cb4f, 0x97dcb312, 0x557d4bd5, 0xe5d52ef5, 0xddb447cd, 0x15b4a768, 0xbacfd5f6,
+    0xb0f58cf9, 0x10c5d058, 0x60bd9737, 0xee354dd6, 0x30ded464, 0x89e5c173, 0x588cd219, 0xa37891c3,
+    0x9c49f827, 0x7fd8a67d, 0xb3f1dde2, 0x4c324e3d, 0x74fc161c, 0x8cef3d2d, 0xc2eeccb7, 0x5a4e0bd9,
+    0xfee8bb7b, 0x1adb83a9, 0xa8d3eb64, 0x42eff893, 0x7dcdefa6, 0x30a559c3, 0x96bf0c83, 0xd1e1935b,
+    0xc45d2c3b, 0xedf84c17, 0x61e003de, 0x3a260340, 0x31462ea7, 0xa39b27f8, 0x9aec4ba0, 0x87dec7e0,
+    0x9dbaf3d9, 0x0fa3acf9, 0x89182b18, 0xe2af4d3b, 0x3ea6c01a, 0x4ffec7fd, 0xde0715f3, 0xc8496c6e,
+    0xff694644, 0xbba47100, 0xc2af01c8, 0x5475e928, 0x65d60301, 0xce13879e, 0x966ac37a, 0xa777f7d7,
+    0x55ce3219, 0x67e151b2, 0xe3ebabc5, 0xd03b0c34, 0x46d32a14, 0x8278eaf5, 0x6ed38372, 0xee694352,
+    0xb023f1b0, 0x4e2bf4f8, 0x5fc4c305, 0x77564cd1, 0xcd55a319, 0x531d0081, 0xd867312b, 0x0659a383,
+    0x11f5a084, 0x0fe33820, 0xfa14e070, 0x46ac1184, 0x19d97364, 0x9989d6d7, 0x4b5f964f, 0x8d532297,
+    0x53fe4e98, 0x5d0c6e81, 0xd6d57e9a, 0x4ef68307, 0x27497b98, 0x15fa29ec, 0xbd1edc4e, 0xe6765f94,
+    0x0a4f95f4, 0x23302477, 0xbb6c8a30, 0x24447c1a, 0xd92b0c9c, 0xf8a56e81, 0x882f39eb, 0xe586e3b1,
+    0xb8651428, 0x2429c2ba, 0xb2bc5eec, 0xef2b259c, 0x4b883893, 0x159f5b61, 0x0b16e7af, 0x658baa77,
+    0x0524f0de, 0xbe887eff, 0xc7b23696, 0x0cdf02b0, 0xbbb89fc4, 0xaeeb9fd4, 0x54e9d5b5, 0xfb63b459,
+    0xc8854991, 0x67abe5a9, 0x0a8f1b1e, 0x02d52cc0, 0xf580e17e, 0xede93556, 0xbcf283ca, 0x3abcc08b,
+    0xee670f40, 0xa0f6c5a3, 0x271ac2b0, 0xcf1c9e6b, 0x0c6336e0, 0xe1262a89, 0x0127ce5d, 0xffc1a5cd,
+    0x2f7df1eb, 0xc2ac3255, 0x907f2a9e, 0x853dce59, 0xcdc574da, 0xced40d74, 0xd003b5be, 0xd7793252,
+    0x87c6740f, 0x89e9173f, 0x6fd79545, 0xf8672a9c, 0xbb40bc50, 0xd8d4be9d, 0x99ee5eac, 0x8cc47b6c,
+    0x0a92cfad, 0xcb786ed5, 0x2310e048, 0x5bd34cc6, 0xb60dbf25, 0xdb577f04, 0xd5c418aa, 0x67826927,
+    0x9d293723, 0x0bc23c55, 0x9d1f002d, 0x60eee142, 0xc403626d, 0xbbd084c3, 0x47767652, 0x330433df,
+    0x114f9878, 0xec127f23, 0xc6bf56ff, 0xbd9bdc41, 0xb8e8b77c, 0x18ee225a, 0x503b90ee, 0xe8602364,
+    0x736949ea, 0x8a0c5d58, 0xebe7f8d5, 0x7c0a7ec7, 0xf1df0722, 0xd1416883, 0x54ab9339, 0x380b9c65,
+    0x5f15a51d, 0x5a4a20df, 0xa93027c0, 0x1e3170e6, 0x46e49dba, 0x6784038a, 0x9f82b44d, 0x2b847acc,
+    0x4872471a, 0xf074fa52, 0x74d73a5f, 0xd37b5d38, 0xf9424e9f, 0xe6aec818, 0x11eaad68, 0x1de40569,
+    0x23343198, 0x5a9573f9, 0xad2bad7f, 0x1be905f2, 0x5992383b, 0x1dd5a4c0, 0x649fccc1, 0x5ad6f64c,
+    0xeb087eb2, 0xf9f0b21e, 0xb31b9214, 0xd9b83323, 0x4f6432e9, 0x816f3cd5, 0xa82f79bb, 0xd8d94c60,
+    0x819beefe, 0xc3eaa778, 0x999c6c6d, 0xe7134286, 0x77281a41, 0x0a90f467, 0xd08aa417, 0x3f7ce440,
+    0xfc8f840d, 0x08c98709, 0xc46bd79f, 0xed00e847, 0x056ae03a, 0xc8b07c1e, 0x7304439f, 0x28fa69f9,
+    0xf750184e, 0x031c5326, 0x86ca554f, 0xc84b18cd, 0x6ce3a2d1, 0xb9313afd, 0x517f4ad1, 0x0c7e0d17,
+    0x48e749c1, 0xaeac7935, 0x7acd9e60, 0x6da93803, 0xe4c3ca52, 0xce1a81ce, 0xad8a4260, 0xf8cd99f4,
+    0xef7cc10c, 0x78e700e9, 0xbcde539d, 0x28261690, 0x34bf6df9, 0xb93e8b55, 0xb927f0bf, 0xebf336b3,
+    0x691031f8, 0xc0cf5863, 0xdec9e0b8, 0xa7558b7b, 0x84d2e23e, 0x41507b52, 0x28ae5599, 0x3cc0ce21,
+    0xaac14e1c, 0xc3c7ea6c, 0x47f3ea92, 0x2e0a1697, 0xf64c48ac, 0x3662bea9, 0xfe0327c8, 0xd88fe950,
+    0xf3799af0, 0x39b8f5e9, 0xae8dddc3, 0xfc16e59e, 0x83c05e81, 0xd084da60, 0x3b780d02, 0x5131b9c9,
+    0x9fab6486, 0xa8dcca39, 0x39e73701, 0xeaabd827, 0xe7120dba, 0xc59a2485, 0x021c521c, 0xee31eb66,
+    0x8fe48272, 0x295127f6, 0xbe1a12f3, 0xe9e215f0, 0x0b755352, 0x4d5d4d7c, 0xaaa5d808, 0x47fac0fa,
+    0xf67c8e11, 0x2fc4e58c, 0xd30fb962, 0xbdf25818, 0x1008265f, 0xc3d45c6c, 0x47344610, 0xc911cf0f,
+    0xa8e966d1, 0x10c16810, 0xa45470bd, 0x7f1acb0f, 0x42324179, 0xccf1fbf4, 0x81e3d6aa, 0x0c91920c,
+    0xcbfad4d7, 0x972aa4c3, 0x4674ace9, 0x94751747, 0xe76aa80a, 0xf8c910ab, 0x78d9072d, 0xc8f31384,
+    0xee28dbe3, 0xe215d655, 0xc5efce26, 0xe7d3d285, 0x987f3f80, 0xba1045ae, 0xb9c5ca1f, 0xba9cd219,
+    0x951f5bb4, 0xc50d3fac, 0x85f2b7da, 0x657dd8cf, 0x178d35e2, 0x003f413a, 0x97fe5ee0, 0x41ee55b4,
+    0xafbd46cd, 0x08bfcf3d, 0x1bd79592, 0x2d98d4ac, 0x8bd72a7c, 0xa3f02c13, 0x08d09186, 0xd32ef17f,
+    0xf1a54f96, 0x62dcbf11, 0x721127d1, 0x92112dec, 0x5c3b3547, 0xb6819f7b, 0x0bf9db54, 0x9800ef04,
+    0xfcab5e32, 0x61fd9942, 0x6ea1952d, 0xa8816944, 0x1c30d515, 0x935284d6, 0x35f7ebb0, 0x464240d1,
+    0x9f444ced, 0x0790ee99, 0x777164e8, 0xa6900208, 0xea2996fd, 0x0a82be6c, 0xfcbba659, 0x77ebb70e,
+    0x8859d674, 0x81231630, 0x1a97b94b, 0xe82a141b, 0xc300d4a8, 0x5d069bc7, 0xfa2fc258, 0x5d6aaa00,
+    0xadab17c2, 0xfef84d5d, 0xd75b91e8, 0x92dcc112, 0x9c849fd5, 0x79b2be21, 0x7625281d, 0x502ba93d,
+    0xe591fdf0, 0xfe28bba4, 0x57dc2451, 0xda3b93d0, 0xc3e709ac, 0x1991272e, 0xd79d747b, 0xb8ee23b2,
+    0xef3acfa5, 0x703e4be6, 0x162ee402, 0xbd5069f6, 0xdb436c26, 0x1e0e6270, 0xa95808b6, 0x9deedce3,
+    0x75b21310, 0x88e5c7c0, 0x501212e9, 0xc42ef391, 0x69ec4e78, 0x58fa30b2, 0x21d7685a, 0x3a240b57,
+    0xd5d86112, 0x57861bc8, 0x19e5a4ae, 0x7fbae5cf, 0xf1bfa581, 0xf97bd32a, 0x78b44428, 0xffbb3ee5,
+    0x2eaebb97, 0x30356488, 0x6b1555ec, 0x6742c10c, 0x4494d739, 0x7dd29d93, 0x08ebe5c3, 0xa53d5dda,
+    0x00000000,
+    0xe297a14e, 0x0eda0aa4, 0x1157062e, 0xccd7810b, 0xe8c3d317, 0x724a9bfb, 0x4262958b, 0x349d500e,
+    0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000788040123927889584245580802002872276101\
+                          59478540930893335896586808491443542994421222828532509769831281613255980613632 */
+  { 0x00000000,
+    0x6067b6b8, 0x0708cff6, 0xe8b4cd7e, 0x3a822464, 0x333d0ad8, 0x88981a56, 0x42c13364, 0x3a443a9b,
+    0x1abdc970, 0x80caeb74, 0x18b66f4a, 0x32270946, 0xc6218472, 0xaf8226a8, 0x23470676, 0x6b13683b,
+    0xc8ac34de, 0xa732c193, 0x94c35179, 0x75ebe21a, 0x104be16e, 0xa1ac9b09, 0xb17c1317, 0x1266638a,
+    0xded62c0c, 0xb073412f, 0x1f71c724, 0xd872341a, 0x5e372b8c, 0x8546b0df, 0x5073876d, 0x4af9f297,
+    0x5cde17fc, 0xde3bfaa3, 0xa57f02a9, 0xf3d2876e, 0x8b521d7e, 0x2e90a235, 0x8e1257c9, 0x63ee35ce,
+    0x84066846, 0xc0ea1898, 0xceed1b0a, 0x8cb10ece, 0x4ce55bf6, 0x8dd5dcef, 0x9fe8186f, 0xf89875ef,
+    0xd509ee0e, 0x582e3082, 0x93c8e32c, 0xa2f255cb, 0x6fe4d45b, 0xada4d97a, 0x9b9739d3, 0x2def9658,
+    0x2a3ac187, 0xcacf9716, 0x5f8aa0ce, 0x7997f575, 0x40625e60, 0x8d63736f, 0xc9d19d56, 0x1bef0460,
+    0x1039f297, 0x4276bd10, 0xc4363ac8, 0x85be30e4, 0x3d16bd8a, 0x77873f1d, 0x2be1867d, 0x4c1c3b66,
+    0xf78395e4, 0xe8cb2af3, 0x45c2a07a, 0xd02c905e, 0x0e5ee576, 0x38920b61, 0x2e1d0f74, 0x256fa988,
+    0x81b73a16, 0x775075af, 0x4c2d5f73, 0xaf42446e, 0x6c802588, 0x3737837a, 0xb901b972, 0xe97b694f,
+    0x48a09523, 0x8d72d361, 0x5a132a44, 0x53c067c3, 0x76a71422, 0xfde7830e, 0xee11e19c, 0x6d00b650,
+    0x773e7fe2, 0x09d90781, 0x9055e196, 0xeb49c449, 0x58bd4c2c, 0xb074534d, 0xe52d1918, 0x1a6fcb5e,
+    0x02897213, 0x3826fcdb, 0x1c34ad29, 0x60a08733, 0xdf36d52f, 0x23d2d232, 0xc80ff683, 0xbb9b1bbb,
+    0xb8b73694, 0x991467ec, 0xe5734e16, 0x65932af7, 0x22249536, 0x9e4625d6, 0xa2b6a723, 0x636f402f,
+    0x8683c7a6, 0xcf6bb056, 0x5c61369a, 0x3a89af4a, 0x0300e87c, 0xcdf7f5ee, 0xca93bdc8, 0x0e5e52b1,
+    0xd47ea547, 0x7dab72b2, 0xb7f61146, 0x60d2e09b, 0x550b9eea, 0x46a299dd, 0x6e429752, 0x3d85e4c0,
+    0xf737b090, 0xd99b073f, 0x6d22ca45, 0xf071a2fb, 0xed06ae9f, 0xe9ec718a, 0xdaf1f6b8, 0x3525d59a,
+    0x403f5ff1, 0x72121b4c, 0x8a24e223, 0xd10424ee, 0x17e42897, 0xca225664, 0xc799e34d, 0x25a15b4c,
+    0x70b94ea5, 0x7d27e497, 0x5f891602, 0xf8794b29, 0xbe20fd0e, 0xdc6add8a, 0xd90dd578, 0xe94f63aa,
+    0x5e845b38, 0x6f26d6c3, 0x1eb51840, 0xbffe34fd, 0x088e18bf, 0x8e760734, 0x84cffda0, 0x91eac3ab,
+    0x17aaf66a, 0x46b2a104, 0x97054923, 0x62228a6d, 0x0b3d45f9, 0xa1f7626e, 0x9141d04f, 0x2ea5f7d2,
+    0xbda1255a, 0x090ce559, 0xde3d4c09, 0x29e3621e, 0x37fb9055, 0xa2bd83c3, 0x9c61d881, 0x555386e3,
+    0x1fc83c1f, 0xe837f8bd, 0x3048c4a9, 0x53cb18a8, 0xc4593bb3, 0x520d9a0c, 0x5af6c7f1, 0x5418cccb,
+    0xd0876309, 0xf81910f9, 0xeddcb291, 0xcbd2118d, 0x9b94cfcb, 0xc6db63be, 0xa7523a54, 0x04f9c35d,
+    0x05c110c1, 0x64481623, 0xd9424808, 0xa574a688, 0x2154040f, 0xea0747dd, 0x2f230ac8, 0x538f2ff4,
+    0x88db870b, 0xf5c2a69b, 0xc9018c75, 0x022c7473, 0x2d8947e2, 0xe3b29831, 0x057e5f7c, 0x1a121500,
+    0x35c45286, 0x65e7bec7, 0x2e491c78, 0xa4de6259, 0x0f5bcdd4, 0xcecc2ca8, 0xe56c99e6, 0xbaa16e47,
+    0x70026769, 0xb96e7fa1, 0xba9bbc26, 0x174c27bf, 0xd2c9d958, 0xe5c68bd5, 0x5291ec3e, 0x35594c23,
+    0xbeff8f59, 0xd93def9a, 0x1162c935, 0xac29b9a9, 0x22b05495, 0x61161f47, 0x13fd4d99, 0x899dc18b,
+    0x934a1008, 0xc3fec62f, 0x58d9d22b, 0x151e315e, 0xc38dc327, 0x9ed7fab2, 0xdbaf174d, 0x8e41eb54,
+    0xeb81f656, 0x2a19cdc8, 0x5edac22a, 0x66b84c3c, 0x9db5f6b9, 0x30ac07e9, 0x3eb03734, 0x4309afbf,
+    0xb7467826, 0xe022926a, 0x53daac8d, 0xe3763613, 0x3c2be62c, 0x7cd84b22, 0x74689753, 0x612e6676,
+    0x068a57cc, 0x1b3d0068, 0xeec32e3f, 0xd456be99, 0xb1495b44, 0xa7263d34, 0x8f8d9306, 0xa11a43df,
+    0x293754b4, 0x1308512e, 0x1bffc022, 0xd5b0ee61, 0x206b6911, 0x07884e17, 0xcd8ba7f8, 0xcce3766b,
+    0x68f5ed27, 0xf9a64fd8, 0x49d59f08, 0x23214891, 0xef092153, 0x10aad96e, 0x0ea03745, 0xe0f56a7e,
+    0xd0e806a6, 0xebd96ce7, 0x7816574e, 0xae6dc596, 0x6b237f89, 0x385057a6, 0x79734726, 0xb568d700,
+    0xdc629cbe, 0xa01c6e56, 0x4978ff5a, 0x45e6428b, 0x54ebe072, 0x36c9a071, 0x9f003377, 0x5602fd2a,
+    0xedc26614, 0x2c1b515e, 0x9359e335, 0xf866dda8, 0xfe9048b4, 0x22974c9f, 0x748d43d8, 0xf63c469f,
+    0xa288ebd2, 0x8f6bc050, 0x6d954bfb, 0x4519e5c0, 0x7def8df1, 0x002fe5cb, 0x49a3714f, 0xa326ae88,
+    0xe758f31f, 0x7d282001, 0xa2891fe6, 0x05c20bea, 0x45f4a3f0, 0x33a720a2, 0x5dea8c0e, 0xe8777d40,
+    0xb6b5d401, 0x29c94ec0, 0x12087b2b, 0x25f8d132, 0x1f651e34, 0x70280eb8, 0x43907f4e, 0x5cf3bd42,
+    0x6db95637, 0x0243c7d3, 0xb50dd510, 0x1cc55e18, 0x166815b2, 0xf920d949, 0x3dd02f43, 0x3741317b,
+    0x78cf6dca, 0xb3f5320f, 0x2f0762cc, 0x99bf6fd6, 0xc7f7f8d7, 0x9e91848d, 0x5486b6c4, 0xab24bba9,
+    0xfac80a33, 0x756cc753, 0xdeb12161, 0xbf761b3d, 0xbb37ebd2, 0x7073900d, 0xbefe0b3e, 0xa10d74f1,
+    0x3a6556fe, 0x139b26dc, 0x7308c272, 0x2538c79a, 0x579c043b, 0xf562e947, 0x9f4f6d16, 0xac700e5f,
+    0x889b530f, 0xc416d832, 0x4bea502a, 0xf9872bf7, 0x3f9cf67c, 0x202370d1, 0xe968b0e2, 0x77e1e7ce,
+    0xf6312f34, 0xf43be1f3, 0x8be2bd55, 0x8e966157, 0x313e842b, 0x232e1795, 0x98b76c80, 0x9faf9e3c,
+    0x912b302d, 0x1bf3023f, 0x6518557f, 0x2dbd5990, 0x301c8a21, 0x3a3d65cf, 0xf3d8b060, 0xe2e0b4bb,
+    0x81857772, 0x5d9852b1, 0x4067a687, 0x03f23e08, 0xac1dae4b, 0x434fd6e2, 0x232b72f4, 0x3b228cf2,
+    0x94c51c6b, 0x98d0c50c, 0x949166a2, 0xb858cb09, 0xeff8fcd0, 0x339ae3d2, 0xa4a51079, 0x274ef94d,
+    0xe5bbbb11, 0x3c1f6193, 0x3cfc79d3, 0xc45dd2eb, 0xb60ef240, 0x7910347e, 0xbca9069c, 0x687e60c4,
+    0x11477bd9, 0x3e68356e, 0x2e34e063, 0x8ae36e08, 0x55d599d2, 0xd49f468b, 0x2643f256, 0xfaf88784,
+    0x28ed0102, 0xd0d5885b, 0x783dacaf, 0x22affdde, 0xe5308e92, 0x3ee34746, 0x6632af0f, 0xc3aea76e,
+    0x78bba0d0, 0xc91fef20, 0x650ec23e, 0xcfc8f92a, 0x44b55a43, 0x71a56faf, 0x10128623, 0x021d1e66,
+    0x5570f7c3, 0xc22e2c84, 0xa2fd3398, 0xfa08f49d, 0xbedc055e, 0x19e9ba09, 0x55eb1d35, 0x13e5941c,
+    0x97cd8873, 0xfc7525c7, 0x4eeb8d2e, 0x99aed5fe, 0x47b45239, 0xdfa2553d, 0xea8d764c, 0x18329439,
+    0x68d10fb2, 0x74602578, 0x944936a4, 0x65489a55, 0x585e56ba, 0xea42ea57, 0x60bde36b, 0x3234e8da,
+    0xec42e6cd, 0xea45d3e2, 0xc02f9513, 0x908b4bc4, 0x4f800e17, 0xcca1ec84, 0xde497622, 0x4365b57c,
+    0x2cece78d, 0x6084c0c8, 0xd4df6e70, 0xfb827f9a, 0xd2d3d5d1, 0xbe28fe6a, 0x8779a732, 0x3498895c,
+    0xefa80635, 0x29d941b0, 0xadf76d39, 0x2c17d783, 0x2aa86ea8, 0x1d351866, 0x426e43be, 0x07bc10cc,
+    0x33e5d4fe, 0xe2fc871d, 0x6cb6ca7d, 0x468b6c31, 0x97cad9b6, 0x2b361890, 0x3793e5e2, 0x1a1ba494,
+    0x97a77270, 0xa79fe832, 0x4e112ea6, 0xf6cd6db2, 0x875d39a4, 0xa37ad2b1, 0xa20d9a61, 0x1d69e317,
+    0xee2b028f, 0x956d1357, 0x51b20508, 0x012cd091, 0x43d67ffb, 0xbc446678, 0x8c5be99b, 0x8fcde498,
+    0xd86ad6e7, 0x91552f62, 0xf73c5daa, 0x59976810, 0x21db7613, 0xcf29f493, 0x7ebfeae9, 0x5aa64d69,
+    0x288dae9c, 0xc2496c23, 0x7c7149f7, 0x373fe48b, 0x0f6d158a, 0x55d4f531, 0x596acd2b, 0xff9ef259,
+    0xeb80cfb2, 0xfac6b9dd, 0x2146421a, 0xad76b69e, 0xa7793e83, 0x0f96cdae, 0x0471bd09, 0x76392b04,
+    0xfd16d6c6, 0xe728d04a, 0xe1b282c9, 0x1452255f, 0x1e0681da, 0xf2ffccd6, 0xfef9ee84, 0xd6a82911,
+    0xb1bc9121, 0xa35d19a0, 0x2e0d391d, 0x8cdbf517, 0x713c219a, 0xfb3b94ec, 0x06d16e26, 0x55e6fccc,
+    0xd2d77f2b, 0xfb1a98b0, 0x0a28aa45, 0xf059c587, 0x371dfb30, 0x2e37b06b, 0xc7d166d9, 0xf6b57438,
+    0x1abb7e92, 0x5f84389f, 0x625a6b6c, 0x79e5ffca, 0x92c54564, 0x8ea5b4a3, 0x177a6ea6, 0xec1a56ce,
+    0xae1eef71, 0x8c90ac4b, 0x038ccfa5, 0xeea891e7, 0xefc43336, 0x1f9dc922, 0xb1e41c5e, 0xd6ef4169,
+    0x3ab65647, 0xa41bf32f, 0x40742bd7, 0x9ad76c02, 0xc1ede8a7, 0xf6a830c7, 0x2cf180f9, 0x4b461cb0,
+    0xe4c0efa0, 0xaa099e98, 0x5939cca7, 0x648bb104, 0x78c30c6c, 0x81efcfaa, 0xf74916c6, 0x84663f06,
+    0x88eb288b, 0x9cbce11d, 0x6d772116, 0xefbbb520, 0x5a2d087b, 0x206c7175, 0x0e5451f1, 0x30b023c3,
+    0x02d0062e, 0xcec936a5, 0x7bcf4a85, 0x7f0f8b77, 0x1d930a02, 0x15ee06d8, 0x9144908e, 0xd2111340,
+    0x5cb82091, 0x9e525967, 0x2b228401, 0x39c15d51, 0x0190e804, 0x67d6f1ff, 0xe4091859, 0x91707b9a,
+    0x3e704516, 0x44252e1a, 0x60463714, 0xf9d9423b, 0x6979a993, 0x79051669, 0x20f83dbe, 0x9189b263,
+    0x386030b2, 0x36cd548c, 0xbe70b52e, 0xf7e37982, 0x28004b7c, 0x3f10085b, 0x85b858f0, 0x4efcd73e,
+    0x066bab47, 0x63fa6f03, 0xdc876159, 0xa63105e9, 0x37a1dd3f, 0xfbd3aa62, 0x52a94ea5, 0x73ef70ef,
+    0xf2f24af1, 0x32e4807f, 0x64dfa5ae, 0x7b682113, 0x3494189b, 0x84112c34, 0xcb6233d4, 0x7627ad1b,
+    0x3ecc40b0, 0x8f841b04, 0xcece1e83, 0x9316885c, 0x658100c3, 0x54a5e459, 0x8b979f54, 0x71be7655,
+    0xe8827a3d, 0xf434e6d1, 0x158d24e5, 0x4341cbe9, 0x6dc39a5f, 0xe41ac469, 0xe69f31d1, 0x43411a89,
+    0x33c96b15, 0x41cf390a, 0xfc9f2dfb, 0xffce1dc2, 0xacfb7ee2, 0x686afa5e, 0x07581a0b, 0xef160da6,
+    0x7ccdd6f1, 0x63523d68, 0xc0bc8b10, 0xec8aac14, 0x9a6378ab, 0x1f48cdb5, 0xff2f9d4b, 0xe41ab7f6,
+    0xbea103dc, 0xd33e28f1, 0x388f56f7, 0xdf70fb26, 0xa04ee4d7, 0x1a8b5955, 0xd1e815ca, 0xe036ef20,
+    0x6de439c7, 0x67310506, 0xe53bb9d8, 0xf03799e0, 0xd4ad7023, 0x5948e826, 0x2e04104f, 0x5302d6b3,
+    0x4ebad193, 0xe170c823, 0x3b6d82cb, 0x70dc4166, 0x16cb77c7, 0x98668187, 0xee1a88ec, 0x63b983dc,
+    0x0f5b2396, 0x43453eda, 0x6c523a1a, 0x3e829403, 0x2d1740f1, 0x8a0e9fa1, 0xdfc5a0df, 0x9c049e77,
+    0xd6b719ea, 0x491fbeba, 0x64384215, 0x1fa7a242, 0xca6aa690, 0x9bc287d9, 0x1f070833, 0xf5661ebf,
+    0x21816827, 0x1ff8dd3a, 0x94508227, 0x97fda68f, 0x88418d49, 0x4c6b3c41, 0x7f582056, 0x35f6b80a,
+    0x7bb89bae, 0x9b265f08, 0xfd3c42ac, 0x1545e0a3, 0xf61bde23, 0x9c72ad16, 0x0cc4a023, 0xfd4ea24a,
+    0x519f739c, 0xa5631d7d, 0xd2a15745, 0xa742df12, 0x6ec4d95a, 0x362fc438, 0x48c65923, 0x5648ab87,
+    0x5731b567, 0xcbcea32d, 0xbc3f66de, 0x113baa0f, 0xeed5770a, 0xf3aad870, 0x16de81ea, 0xa78cde95,
+    0x812fedb8, 0x1b0c73db, 0xb915bb0d, 0x4f43eb4e, 0x12dbc8fc, 0xb2b5ac22, 0x136f9fd8, 0x987c9496,
+    0x94c494c9, 0x089c9b02, 0x752d8028, 0x051914fb, 0x4e8f4b4c, 0x889c1e8d, 0x5523484b, 0x5dce1d68,
+    0xa54e32dd, 0x51193d84, 0x090104f7, 0x5d9380e2, 0x1bf377dd, 0xe726610c, 0x58f091bd, 0xe22e16e2,
+    0x21c23f37, 0x8594de6d, 0x30055e26, 0x9a396468, 0xf808d386, 0x041a7f76, 0x20879148, 0xde878b00,
+    0x793ea467, 0x1f020a68, 0x312f817c, 0x4716abaa, 0x30fb889f, 0x825c9e6d, 0x23838228, 0x3246cce3,
+    0x1642d94a, 0x41aaad3a, 0x2d739f95, 0xbef38724, 0x211239f7, 0xbd6bded0, 0x60da24d8, 0xe12479fa,
+    0xf6246d81, 0x5fe3df5a, 0x58042582, 0x0913cfb6, 0xdd7e2cdc, 0x2307c41d, 0x56b92a07, 0x2c3de42c,
+    0xa4188be3, 0x7439f487, 0x7ff71a72, 0x65651d3a, 0x4e148b8a, 0xb64447be, 0x284b81b7, 0x0bf7c38b,
+    0xbdcc6fef, 0x18aaa6b8, 0x0c353bfb, 0x26cc7ad6, 0xb4c72061, 0x25ffbfbc, 0x52fe4379, 0x46ce1026,
+    0x0f834fad, 0xe6daca1a, 0xe8bb0816, 0x435c7e1e, 0x9df09ee5, 0x45d8534f, 0xcd42e514, 0xa177854b,
+    0x40f868b8, 0x869d6a65, 0xecafd30f, 0x8d83c210, 0xd817d3b4, 0x252cdc0c, 0xcc56cb11, 0xccf8ef31,
+    0xf7f3701c, 0x4e1d0b35, 0x7fd6123a, 0x8ddd583d, 0xe66b4cc5, 0x752a291e, 0x50eeeb12, 0x4414756b,
+    0x0c115c9d, 0xef082a9c, 0xf764681c, 0x6237645b, 0xb8448556, 0x18b2402c, 0xce289c9e, 0x1af2486d,
+    0xa77d02ba, 0xcdc49f4a, 0x7dc95977, 0xaf60a028, 0xda7b49a8, 0x5b130cb3, 0xb1c07146, 0xf79a148d,
+    0xfd054983, 0x33ae0fba, 0xb60e5e48, 0xe5f805c9, 0x05d38875, 0x0926a3c9, 0xbec260b7, 0x13243e40,
+    0x9d91b5bf, 0x896fc65a, 0xf9191b6e, 0x1e2c8677, 0xe59d4cd2, 0x246916c0, 0xf29e6b80, 0xbc9f80a8,
+    0x58fe9c5a, 0x9bfd9f43, 0x1e9739d1, 0x1d7516cd, 0x2fa1f7a0, 0xf6e340e0, 0x41126671, 0x5071abf5,
+    0x2095fa0c, 0x2152e1a1, 0x42fa761e, 0x0f8e5fc6, 0xe07b3de3, 0x2455bb23, 0xed23bbbe, 0xc36ae110,
+    0xb4597630, 0xd6665c18, 0xec6dd235, 0x68b21464, 0x65faa0e9, 0x249a1622, 0x02f36ea6, 0xa148c56f,
+    0xc8cd1402, 0xc2e0dae0, 0x036a971a, 0x3514a9f5, 0xe1a546a0, 0xd56230f2, 0xcd52b64a, 0x959a132a,
+    0xc9d53994, 0xc1f3b898, 0x7e3d6407, 0xdd0c0422, 0x6674447f, 0x380cc2a9, 0x255c1ea3, 0x0373195a,
+    0x4e41c40a, 0xd4c4b12e, 0xe5cca75b, 0x47344f23, 0xb38bdf8a, 0x338e1073, 0xed108898, 0xabcc8d09,
+    0x232400f9, 0x395dcebc, 0x7c9074c7, 0xac11331d, 0xa4827502, 0x4ea31da6, 0x9a4ba704, 0xd8cf31ed,
+    0xffa2cec9, 0x330d8faf, 0x42d805e2, 0x237c14d9, 0xc9cbd13d, 0x183f5a20, 0x975a4a22, 0x72841733,
+    0xfdb1e9f8, 0xf1939537, 0x36915f05, 0xd13e11de, 0xdacd0edb, 0x60d467a9, 0x3a958665, 0x65320847,
+    0xccf491ff, 0x42c9852a, 0xf2da74d4, 0x9d144570, 0x9fca37e2, 0x02850a26, 0x4b3fd2c3, 0xc27e5a9b,
+    0xc9137264, 0xdd22e23f, 0xddcd7371, 0xc0ca1efd, 0x95f61942, 0xa381fca1, 0x405f3356, 0x1ad6d184,
+    0x2b94916a, 0x27b96cc5, 0x7bcdd7db, 0x3b287229, 0x58c25518, 0x2ec69040, 0x533d2c6b, 0x16d808fe,
+    0xbbc56a96, 0xb4ec7b0e, 0x2c57e4be, 0x8933b751, 0xb59f10e5, 0xcc523f59, 0x7fc101db, 0x3d1ea021,
+    0xf6d76d65, 0xf916bc6a, 0x4b82fb31, 0x0db1352d, 0x78fd482d, 0x166254cd, 0xb44a9904, 0xcc24c52c,
+    0x34383657, 0x48023cb7, 0xb82724ba, 0x6076fe51, 0xab8dc6fb, 0x31769011, 0xef96f2cd, 0xf44be9bb,
+    0x85241aa9, 0x6de55a3e, 0x6e41d056, 0xbb599961, 0xacfb7703, 0x9e37e09b, 0xb494a85f, 0xcdac4720,
+    0x00000000,
+    0x714bd0a6, 0x076d0552, 0x88ab8317, 0xe66bc085, 0xf461e98b, 0xb9254dfd, 0x21314ac5, 0x9a4ea807,
+    0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000394020061963944792122790401001436138050\
+                          79739270465446667948293404245721771497210611414266254884915640806627990306816 */
+  { 0x00000000,
+    0x28a18a23, 0x04155daa, 0xc5e74d75, 0xaa907774, 0xf95fa69b, 0x11ed71e6, 0x7ff72897, 0x6bf02248,
+    0x86bbfd27, 0x38d30b05, 0x43374755, 0x97a73434, 0x46d8eecb, 0x7abb783a, 0x068f7f16, 0x6f750c65,
+    0x40594053, 0xd5469289, 0x4cf5118f, 0x5a47c2de, 0x01af56ee, 0xb9077732, 0xe7e325d6, 0xc56ce36f,
+    0xaaaceb21, 0x2d7997ed, 0x4e741478, 0x6805eeaa, 0x759d4bea, 0x982d8412, 0x9cfaa4a8, 0x046eb689,
+    0x01de36e8, 0xd8a7fd09, 0x4ce4a2bb, 0x0fbb6a56, 0x912d1246, 0x026a3ee1, 0x6a6b6903, 0x342c0717,
+    0xa229b7c2, 0x363ba305, 0x43f0d3fa, 0xc31dac2f, 0x1987f328, 0x7cee5bda, 0x652c3cd1, 0x58fa87b7,
+    0x73e1def1, 0x323cfcf5, 0xde72578e, 0x67ec4b85, 0x39dfebc0, 0xce42197a, 0x0d05e793, 0x77c9f756,
+    0x7c7a0fa0, 0xffc5493e, 0xdc93dc1e, 0x04fc704c, 0x52f4822e, 0x3071f887, 0xddf2b5e2, 0x60af5830,
+    0xde9d9850, 0x772d1795, 0x1789ade2, 0x22288cf9, 0x1fddae75, 0x1ae25e12, 0xef118e2d, 0x98db34cf,
+    0x7d8fe419, 0xac7450f9, 0xfeb0138e, 0xd9403b63, 0x1e8540b6, 0x9e91ef99, 0x1746542f, 0x0b5a6f87,
+    0xf583156f, 0x267b88a4, 0xd3bfe03a, 0x24a3df34, 0xa0925945, 0xefac387d, 0xbe66b2a0, 0x1a354f2f,
+    0x43f0119e, 0x75c887e7, 0xacbaabf3, 0x11866b8c, 0x931ffc8f, 0x7b77bfc7, 0x84024a6a, 0x6707b7bd,
+    0xf015e4e0, 0x1d690e75, 0x1b270005, 0xf4a9754e, 0x5d1da5ec, 0x120e34af, 0x4788fca8, 0x0a38e1c1,
+    0x2621ac75, 0xd20159f1, 0xaa6de753, 0xbb4d0ac8, 0x3b808779, 0x4ac1bc39, 0x0f337014, 0xd15f26fe,
+    0x842f1fae, 0x13b9eb9e, 0x7a398b76, 0x47bbecf4, 0xbea01e63, 0x769ead40, 0x41f19564, 0x08eb1cad,
+    0x91168b60, 0xbb1a2a7f, 0xee8be293, 0x5767f130, 0x53f32db9, 0xb1e21a44, 0x00cf7de4, 0x626f5241,
+    0xe81b6a8b, 0xc67845d4, 0x747c16d2, 0x4b64c58a, 0x8e1dd237, 0xb2c2fdc9, 0x39b33199, 0xf837141a,
+    0x655eceba, 0x85925c65, 0x5885072f, 0x1c0925df, 0x0b3a6d6f, 0x32838eee, 0x971b42dc, 0x3f339456,
+    0xe6285735, 0xecb43ced, 0x92713758, 0x648b0f90, 0x2394cfae, 0xc9dc0f0e, 0xa517b03e, 0xe4ad472f,
+    0x9e1128fc, 0xeb8fd314, 0x5a72b10f, 0x24ebe2c9, 0x41756897, 0x44cfb2a2, 0x641cd550, 0x1529f608,
+    0x112d59a1, 0xea2e45e5, 0x86f90578, 0x16693111, 0x53a9ba33, 0xdd5579be, 0x5b59d823, 0xd01f7e7a,
+    0x83ab4493, 0x10c70161, 0x2a2917b0, 0x9d826686, 0xe159ebb5, 0x17e1216c, 0xcdf5f85c, 0x35db1fd5,
+    0xf50f66da, 0xcaca707d, 0x2ddcacdd, 0x290613d5, 0xfc3c69dd, 0x7087df90, 0x7cbdff99, 0x4920c93e,
+    0xd2899ddf, 0xdcf088f8, 0x9b472c1a, 0xed008004, 0xeee90072, 0x9fb76744, 0x0c7557f9, 0x6d13e357,
+    0x846ec302, 0x96bbf629, 0x3ffe6707, 0x4bde6602, 0x09b074b6, 0x2d2859d2, 0x9246c35a, 0x8307d16b,
+    0xa10fcce3, 0xa50f801b, 0xfc7059c7, 0x5841fe6f, 0x53d2192d, 0x8bd99faa, 0xdd2b3c6a, 0xfd69598e,
+    0x470af50a, 0x0a373cf2, 0x5c9fa9b9, 0xd81f1e46, 0x41ff0a9d, 0x79681e47, 0x9978d1ae, 0x198d98f7,
+    0xc3a8429d, 0x8929255a, 0x3c52bb3c, 0xb067c063, 0x07a464f1, 0xa1a682f4, 0xf5950a87, 0x94e53743,
+    0xc47060ae, 0x39706216, 0xf9f51787, 0x5b803b68, 0xd8361a26, 0xe10b1ed2, 0x60ff10dc, 0x97d1ac3e,
+    0x5304c3d3, 0x03bed23c, 0xabb9cd4d, 0x83fcafd2, 0x2a79f735, 0x81a02a7e, 0x4aff6e60, 0x01607a61,
+    0x52876170, 0x36e910d7, 0x49a7e0de, 0x1e5daf2c, 0x3270a10c, 0x44189932, 0xd28dd0ca, 0x5c457798,
+    0xcbcd2a73, 0xa7143f05, 0x98ed0dd9, 0x4b870f22, 0xa41a7844, 0xc0d127ee, 0x836c77bd, 0x51c5b3e6,
+    0x29c984c7, 0x526b41ad, 0xc620c974, 0x7843616a, 0x056d7588, 0xf9e97f53, 0x5574e383, 0x17455c95,
+    0xb2c5a558, 0xeb327b3e, 0xfd2d3593, 0x6b1a61fd, 0x0dde2232, 0xde614770, 0x07eb6ce6, 0xe0435893,
+    0x6f227ca9, 0xcd2f8cbd, 0x5ccac5a5, 0x990eb270, 0xaad5eda4, 0x75288543, 0xbafd42f3, 0x4fecc4b2,
+    0x015d8668, 0x0916774e, 0xc859b739, 0x64b742ea, 0x5c72fdff, 0xcee07c36, 0xb9f192e8, 0xfe23ede4,
+    0x0f4a3fe0, 0x10ef65bc, 0x8da39b97, 0x818fc64b, 0xea2b17b4, 0xb05e7392, 0x8fd7d827, 0xbbb52582,
+    0xfc2b5605, 0x4008f99f, 0x4db697aa, 0x2471150b, 0xd99bf4a3, 0xdc663c2b, 0xddcd1bef, 0x231af5ae,
+    0x96be8ecd, 0x568139cf, 0xda393882, 0xafa37db2, 0x2afed7d4, 0x2ca2d95f, 0x39ff4f0e, 0xbfb43d21,
+    0x870cfb9f, 0x7646fae3, 0xcfed5d68, 0xdfafdacf, 0x5f773a53, 0x9c545564, 0xcf80a7f8, 0x2eeef914,
+    0x7fc42a4f, 0xc583356e, 0xc2a50ec9, 0x4fe61507, 0x664d8dda, 0x509e7d92, 0xd83d6bd2, 0x38b9fbfe,
+    0xb6f6e1eb, 0x62593983, 0x6bf62b7f, 0x4c881b3f, 0x7e522241, 0x1c81214a, 0x8dc4193b, 0xbe92e7ba,
+    0xc68e9cc8, 0x6b33f11c, 0x9d76a785, 0x0465a641, 0xa840b13e, 0x071826a0, 0x39e3199b, 0x6363799c,
+    0x5a4d0d9b, 0xd40c8840, 0x436693a8, 0x35e5cc0e, 0x49f6be25, 0xdc7bde79, 0x7a7e9654, 0xa33598f6,
+    0x52e57816, 0x7fa826c3, 0x2ae3934b, 0x768fcf10, 0x4c72544b, 0xd22ac826, 0x015a318a, 0xce8d76b4,
+    0xba8e9d10, 0x454fe560, 0xb88b8739, 0xdd564739, 0xa4182a7c, 0x3cedc0b5, 0xabb5f382, 0xe10b17ec,
+    0x7ad81105, 0x13311a02, 0xd7497923, 0xeeeeba33, 0xcde1fbe4, 0xfc41b6b4, 0xbab1c66e, 0x51768d9f,
+    0x251cee6c, 0x4b1621d0, 0x3aa24c01, 0x86fbc3cb, 0x3b2548d1, 0x1be7b3be, 0x90fbe22a, 0x8a8bbb5f,
+    0xc4574860, 0xe897a29d, 0x973d792b, 0x9f207caf, 0x3329e502, 0x8771f97e, 0x79a8a43b, 0x20bd2e6c,
+    0xdb7d32ce, 0xabc63e45, 0xc1eb9a56, 0xec4b73f5, 0x7153f22e, 0xf3af3ac2, 0xca5c4aa3, 0xb06970ee,
+    0xb7d46a49, 0x84128214, 0xf7d00581, 0x0682928d, 0x03a2a151, 0xc1b47813, 0x404a6bbf, 0x9484a569,
+    0xd339b445, 0x31f4bdbd, 0x040f97d6, 0xa8f0a3ed, 0xa4a95a79, 0x029a4710, 0xc8b884b0, 0x9f646374,
+    0x074b5f68, 0xa4c147a0, 0xfab24731, 0x930d64ab, 0xb1d53082, 0xa1af85c4, 0x7649de7f, 0xcf0383f7,
+    0x8a3c5f4f, 0xa070e321, 0xa4179955, 0x6dd0aa86, 0x8f25a4cb, 0x54ac41d9, 0x503b5833, 0xba6d39ee,
+    0x3f321f93, 0xaf5c9cb1, 0x7b684060, 0xb50bb9ad, 0x3109f3ac, 0xb421f40a, 0x3dbb331a, 0x730207c4,
+    0x83b1881c, 0xdf46784b, 0x3808a359, 0x129c16d7, 0xf304b4eb, 0xa5d5622c, 0xbbf42132, 0x0a5f2884,
+    0xb5a4d904, 0xdca121b1, 0x46c823b9, 0x58d734ad, 0x2cb22492, 0x679d3d15, 0xb6e2a28e, 0xe17f3482,
+    0x1d693c94, 0x86f5083b, 0x9567c78d, 0xa2e613d7, 0x547ac8db, 0x09264aaa, 0x816d1372, 0x1c46c7ad,
+    0xe2550aa1, 0xd811739b, 0x044cea7d, 0x8eede9b8, 0x8ed05ab8, 0x203ee0fa, 0x5fd29293, 0x6a07e13e,
+    0xf7029ea2, 0xd8ab557c, 0x982464d2, 0x34e9847b, 0x87051128, 0x5546da1c, 0x0489657d, 0xd7f09fd9,
+    0x7c719766, 0x40629fc2, 0xe3a9a98d, 0xcced7ce7, 0x225174d1, 0xc2d18b9e, 0xb0997af8, 0xaeed531b,
+    0x4a9a1e9a, 0x61c750f4, 0x60269e3d, 0x64460263, 0xef51457e, 0xb918211d, 0x37aebb2a, 0xc5fbb4cf,
+    0x111d213e, 0x7e3e6a13, 0xcfac0861, 0x8e04442c, 0x4e473c25, 0x412de113, 0x78a59e87, 0x7cabd925,
+    0x7aaaf8ba, 0xde69441a, 0xac4d587a, 0x9a47fe9c, 0x09d5fbbe, 0x931c80fd, 0x3a6b5dc8, 0x6a701c71,
+    0xcba47dfc, 0xb491321e, 0xfb336328, 0x24ed3165, 0x1dbe83eb, 0x990408f0, 0x7c0e8df1, 0xd7c6c5d5,
+    0x07e42371, 0x8a0ac88c, 0xc47e357f, 0xb52ab013, 0xc5115a81, 0x432ad3f2, 0x95a8952e, 0x3b105a96,
+    0xcc62ade2, 0x758e2814, 0xbc1fa4b9, 0x34ec6047, 0x68ab9197, 0x40af359c, 0x543d2288, 0x802b8bb1,
+    0x8631c17d, 0xa632da94, 0x8f48eb18, 0xad4e9bc6, 0x7383f349, 0x805662e8, 0x7e35cfc9, 0x7056f133,
+    0x3c886da2, 0x1de76204, 0x987b53b4, 0x8fac9976, 0x81eab362, 0xbaac52af, 0x2e3476fd, 0x738422eb,
+    0xdbba4f66, 0x2765f53e, 0x0593f451, 0x0e5ac296, 0xb3af44cc, 0x922c7baa, 0xfa554a31, 0xad6fcb61,
+    0xced9eecb, 0xef23bb92, 0xa8e9304d, 0x49b1824c, 0x69fcc933, 0x5f2bdbaa, 0x9669d853, 0xfef8e50e,
+    0x2cdacadf, 0x3806dcec, 0xe45f40ba, 0x4a7fa9a8, 0xfb8ee756, 0x4a547890, 0x1178b970, 0x88475918,
+    0xc15ed3b0, 0xb5d1d531, 0xfde112d9, 0xacf0114e, 0x25e68bbc, 0x8e232597, 0x9c1ae870, 0x06fb3884,
+    0x53f72398, 0x0d91bc1d, 0xe3c64324, 0x7dbde2a4, 0x978ce32c, 0xce1d320b, 0xab17b115, 0xc2ba5d3c,
+    0x2f4ba0b7, 0x16fb260a, 0x89613980, 0xa3351c15, 0xa811a802, 0xee65ad69, 0xfb290ff1, 0x779f6bb4,
+    0xc806dba4, 0x4d292b1a, 0x07814128, 0xba978123, 0x43e301a1, 0x5655ecde, 0xa6976aa3, 0x8e3d005f,
+    0x6a031913, 0x1830aa7c, 0x0847d364, 0x131593f0, 0x11a383e8, 0x8712952d, 0x0af72ed1, 0xf2ff38b6,
+    0x5c0bbfa7, 0x2aa685f9, 0x0a5ccd8e, 0x4f9ea51b, 0xb534b89a, 0xd5668914, 0xc90bf50c, 0xcf24241d,
+    0x2fbbf96c, 0xf4652463, 0x80a93afe, 0x9d204265, 0x60dc4227, 0x59d5d95e, 0x91b93809, 0x57a8486b,
+    0x399ff238, 0x5e20b4eb, 0x1741c4c3, 0x63983282, 0x493eccc7, 0x892cfa22, 0x4a883663, 0x0be8332a,
+    0xe14f65ba, 0xb1453fd7, 0x1b96b135, 0xbb6a760a, 0x47383b04, 0xf3af622d, 0xed4874be, 0xdeb279fa,
+    0x9ea4cddb, 0x74150e61, 0x2739e52e, 0x5773d373, 0x93b03e4f, 0xbb5556eb, 0x7777f496, 0xe37ddacd,
+    0xb328c978, 0x9aabf2fc, 0xf44b4e04, 0x0d7d0849, 0xb662035c, 0x653b8f12, 0x1d590c68, 0xe3d6ab73,
+    0x9f4233a3, 0xf0fa6d0b, 0x7c7bc55c, 0xd3898134, 0xc0308b62, 0xbed84e91, 0xe9fe3f58, 0xbab0b32d,
+    0xef40b726, 0x683f1d4d, 0x45f8e7ab, 0x971f5441, 0x363d91e6, 0xda2fd434, 0xa50d26f8, 0xeadcf859,
+    0x20bc1d5d, 0xc8369354, 0xcd71d362, 0xec64459b, 0xe21acf1c, 0x66dea054, 0xeb515219, 0x3eb80e87,
+    0x009c3ca0, 0x4e20759e, 0xa48b2358, 0xbe5176a7, 0x4e350722, 0xa7ca372e, 0x0e17faf3, 0x611bb738,
+    0x53b6b8cc, 0xa26791a4, 0x9fe15d73, 0x62cf36ef, 0x750332c9, 0x7d565d7e, 0xd1bb51d3, 0x799b7c31,
+    0xdbfb9b23, 0xc6a8daa8, 0x4ca8e80c, 0xace0ea7b, 0x2a44a90d, 0x5bbe5e30, 0x93e6dc87, 0xf2c501b5,
+    0xb52a9034, 0xb2c2593b, 0x744a9d70, 0xefa5658f, 0x97b6ea24, 0x72606508, 0xe6531a63, 0xb6aa0612,
+    0x23642907, 0x9b6493f4, 0x1c45377d, 0x8d570e1a, 0xaa94cc35, 0x0a4cecc6, 0xd6a553ab, 0xf6675def,
+    0x4b757d2f, 0x013f4c9a, 0xec1a1e93, 0xac201a89, 0x42829060, 0x2ea66a8b, 0x83890e71, 0x2abde37f,
+    0x6e90be80, 0x960678bd, 0xd9dd5999, 0x3b75e0d8, 0x53dff6ee, 0xfef1547a, 0x455b8de7, 0xd3b2294b,
+    0x75daa6d1, 0x37704363, 0x29d589b4, 0x7605ea7f, 0x9bc43c2b, 0x8cbbbb83, 0x43c8e666, 0x80f1696d,
+    0xa54c8d1d, 0xd57ec62e, 0x49338a2f, 0x087a6289, 0x01a544e9, 0x4ef975fa, 0x243180be, 0x2c2e1c8b,
+    0x2c61005e, 0xc12f61d9, 0x384b9ed5, 0x8067ecc2, 0x81039a17, 0x55657246, 0x17d6fa1b, 0xb68e4e12,
+    0x81d61d16, 0xc102030a, 0xe430fe92, 0x288f8c81, 0xeaf6f5c3, 0x0f490cc6, 0xd197976c, 0xdcb822a3,
+    0x02c1d395, 0xd3d55c95, 0x030e5242, 0xbeae55c2, 0x95ede927, 0x908124ff, 0xd1d1c3b5, 0x5a53036e,
+    0x3c4e2942, 0xb318ed54, 0x69b67ac5, 0x2784dd11, 0x574b9a80, 0x823a6454, 0x86666aba, 0x4cbbdb73,
+    0x59f680e7, 0x5965ba57, 0x10581187, 0x2b0ed65f, 0xaebd84f1, 0xf7a59c8e, 0x18748ff7, 0xc0b76913,
+    0xefc13f77, 0x3c203f55, 0xbc8d0a5d, 0xf310af97, 0x47db888b, 0x1876b517, 0x985c5b94, 0x14ed744b,
+    0x5caae770, 0xf1b94118, 0x3827105a, 0x2630d5d5, 0x8999ddf7, 0xe348c273, 0xfec48bb4, 0x9262a26d,
+    0xfbf2d621, 0x95ec41ad, 0x7c810ff0, 0xeae0c165, 0x6ff7a97a, 0xcc1e9a94, 0x5e62c011, 0x4af217dc,
+    0x5cbceea4, 0xeb401217, 0x61d08cf6, 0x6e5cd04d, 0x2ab3eb69, 0x0c3e2856, 0xe8bec872, 0x2aeffcd4,
+    0x760b96be, 0x5e6d3949, 0xf575e0ba, 0xd81974f3, 0xbc929007, 0x831ab11b, 0x2d586468, 0x94c1bfbc,
+    0xf1bb9ec4, 0x082e29ed, 0x26b5644a, 0xaac81775, 0x60824789, 0xd7c22cc7, 0x5149df49, 0xc6cb773f,
+    0x83714925, 0x6652ee41, 0x07301ae5, 0x0dce832a, 0x93ca1bc2, 0xf98e1ca2, 0x0db41565, 0xff526098,
+    0xa7ba75fb, 0xc73e34e8, 0x8102d007, 0x0bc510a1, 0xefa19680, 0x9336ecb6, 0x74df2329, 0x29b0e5c9,
+    0x2ed0b36d, 0x18003bce, 0x4bdc682a, 0xf82a952c, 0x35b00603, 0x37f94ac4, 0x1fb72ace, 0x0133c559,
+    0x80b5e013, 0xb78e5d55, 0x1d39c23e, 0x39199266, 0x63a5daef, 0xc3f1b611, 0x767f19f8, 0x245ebfcf,
+    0x5a8fd07d, 0x92fb75be, 0x8a99e47e, 0x22bfc039, 0xce69eb64, 0xcc9fb29d, 0x7234df73, 0x8acbb85c,
+    0xf8716761, 0x56b1d663, 0xf14a7ff7, 0x5aa2a628, 0xc288201e, 0x51b1b7be, 0x581872c4, 0x49323db1,
+    0xa4e5b9c2, 0x092bdf93, 0x6b382f01, 0xf239a266, 0x6b6e68cf, 0xf6c63502, 0x355d2045, 0x14666953,
+    0x1fc2e959, 0x08cb1430, 0x95a4a4dd, 0xb164a4bf, 0x490bfd69, 0xb970e678, 0xb2e64d54, 0x0975648d,
+    0x53a78871, 0x48c4083e, 0x5f5ce757, 0x6365d188, 0x59300d7e, 0xa9e42254, 0x7a196b3d, 0x5203844f,
+    0x60b0affc, 0xa0d0bc6b, 0xc8ce642b, 0x7cb52807, 0xc256e4f4, 0x8e43d19f, 0x342026c0, 0xcdca8bf6,
+    0x24755961, 0xb7b744f1, 0xd4fb03a8, 0x1df57097, 0x53fdd639, 0xc4593e42, 0x7708ab43, 0xee24f41b,
+    0x193e2e1f, 0x44e06d19, 0x42184355, 0x4e2cea56, 0x7b7c6ee7, 0xfdf06d89, 0x59c393e0, 0x820181b3,
+    0x275fa4da, 0xd08ad29a, 0xfb162ab8, 0x5b80a2c8, 0xb30cff7c, 0x808a7719, 0xd0fdc01d, 0x4ac20719,
+    0x825345f5, 0xab8d9ed9, 0xaeca8060, 0x532514e1, 0x7dbfe6d6, 0x146c51da, 0xa4003d5a, 0x02bc6b48,
+    0xd90e2d9e, 0x75d60eca, 0x32be9610, 0xf4c29c5b, 0x270d84b4, 0x657112e0, 0xab55a8df, 0x95ba97ff,
+    0x62067662, 0xbfd4a751, 0x39b97e80, 0xf6ad04e4, 0x23ab6e95, 0x9e766c96, 0x1b1a9622, 0xab0204dd,
+    0xf31fe877, 0xc98f7a57, 0xa95db195, 0x7eb6080e, 0x26a81eb6, 0xa16f4de2, 0x4fc378f8, 0x7afca057,
+    0x719ba174, 0x4b9822ad, 0xcbe93512, 0x6652805c, 0xc5145b8d, 0x85a07016, 0xb9fc1c34, 0x7477dd3d,
+    0x89ceb6cb, 0x90989238, 0x15cbce91, 0xc29ba224, 0xf347a2a6, 0x27a9ee71, 0xf37170f7, 0xdf9221e4,
+    0x37b7d314, 0x1969a3d3, 0xb2f7fac9, 0xd753744f, 0xad200ea0, 0xc3a1a5b5, 0x9d274c99, 0xe575f9b7,
+    0x00000000,
+    0x38a5e852, 0x83b682a9, 0xc455c18b, 0xf335e042, 0xfa30f4c5, 0xdc92a6fe, 0x9098a562, 0x4d275403,
+    0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000197010030981972396061395200500718069025\
+                          39869635232723333974146702122860885748605305707133127442457820403313995153408 */
+  { 0x00000000,
+    0x951af527, 0x7fa9b122, 0xe9f9ec67, 0x17104071, 0xa7e22a39, 0x49556682, 0xb77d3b24, 0x7912f2a2,
+    0xf5c89d12, 0x0248bc69, 0xeaee229e, 0x6e94cc76, 0x6e2e913a, 0xd011bf37, 0x76644fa4, 0x6852ec0f,
+    0x5214d12f, 0x93a5cf62, 0xa5e04bb3, 0x2d90beb3, 0x27743513, 0x23c172f1, 0x938f99a2, 0xfb33955c,
+    0xc6f753f9, 0xa18ad1f9, 0x2c4c9b4f, 0x9402f8a1, 0xbfce6167, 0xbef1ba3e, 0x1017a1ee, 0x002a984c,
+    0xaf12f99a, 0x106dc085, 0x3da7682d, 0x57379a32, 0x4689820c, 0x2e29fddf, 0xc855555f, 0x2085f3a4,
+    0xd2d8416e, 0x3a0c65ea, 0x625ff4aa, 0xd2cba629, 0x9f053b88, 0x754d60b2, 0xd008b8b5, 0x12f57028,
+    0xffc9e753, 0x9eee89f6, 0x05bc039d, 0xae0d2c78, 0x866d8d33, 0xd7bd05a1, 0xe32169c0, 0x47fe0a82,
+    0xa59584fd, 0x7264432f, 0x48ad547b, 0x30181d2f, 0xfd7bef87, 0xf5d6a819, 0x1d0d0f00, 0x7094f498,
+    0x463647f2, 0x87efa2ba, 0x64ca3580, 0x4b1da2b3, 0x490740ff, 0x5ef42983, 0x50635f70, 0xa8329aeb,
+    0xc1e4f83f, 0xe378d6bb, 0xbdaabfe2, 0x6059d32d, 0x13cd4390, 0xc579882d, 0xcbee97b2, 0xf2b82969,
+    0x323fa4cc, 0x4a73d7e1, 0x1c0fc11f, 0xa8b1bf79, 0xd5d6b81f, 0x53a19544, 0xa7a5624b, 0x7e342063,
+    0x3ae4d932, 0xc422d649, 0x7c69e8d3, 0xe103dc01, 0xfa8faaad, 0xb9a11774, 0x19ec518e, 0x27aad058,
+    0x72e04682, 0x8eb483f4, 0xa7fddf27, 0x81cdbf14, 0xffa4b3f3, 0x3c1867ee, 0x8fbf7bde, 0xa1145cfb,
+    0x06c5d5f0, 0x4cdc7934, 0xe643d97e, 0xfef833f1, 0xf8a71856, 0xc7ecdc96, 0xd0a3fd70, 0xf954c902,
+    0x5d261871, 0xf1bf63ee, 0x47433e9f, 0x7d351f36, 0x085d0e0c, 0xf8e15918, 0x4922671f, 0x22c477af,
+    0x63581f3c, 0x44817d8e, 0xaf834e0b, 0xf0619598, 0xba81f4fa, 0xb8a527f7, 0x8dd12113, 0x47b39da4,
+    0x5204944e, 0xd98d129a, 0x35b8057c, 0x01700edc, 0x735bf3aa, 0x0f606e3d, 0xcae757be, 0xf81a6366,
+    0x1d7be976, 0xe50f7c84, 0x86d13d51, 0x94342fbb, 0x9f7722fd, 0x3a578995, 0xf611f601, 0x08e85c1a,
+    0xa7fd1f21, 0x51db3a29, 0x340d05f6, 0x681001bf, 0x935b9af3, 0x25a4dbea, 0x7fad7556, 0x44fb83a5,
+    0xca5e9514, 0x0054f6dc, 0xf49ab8a7, 0x2ccccc93, 0x6a525a76, 0xd7561a18, 0x0d6da97e, 0x613a1ff2,
+    0x488fc44f, 0xce434ea2, 0xdce0a777, 0x761235ca, 0x4a0d886a, 0xb308e211, 0x41feadf7, 0xd4e9864a,
+    0xaa4520fc, 0x44d55a6c, 0xf8a6bd64, 0x2c5d6cef, 0xa7843a08, 0x2edf3029, 0x4b8b362b, 0xa9483e52,
+    0xe56945c6, 0xb9e8a111, 0x9b5c3284, 0xa7dab9e5, 0x9a5590a8, 0x1c1ead3f, 0x08842923, 0x20d30739,
+    0x70b406fd, 0x00437a2d, 0xeff518fc, 0x8b94dc8f, 0xf2f9cdda, 0x93408ea4, 0xbdda1189, 0xdfe7797f,
+    0x4efa0907, 0xe31a1aea, 0x87b5e743, 0xcddaee91, 0x10231e51, 0x7b2d0a15, 0x2397f661, 0xa9e926ee,
+    0x9676ec69, 0xdb751e30, 0x1c898672, 0xb3b0b0db, 0xa949909e, 0x7dbf86a2, 0x186ab015, 0x3e4cfad2,
+    0xd9969740, 0xa3ed16a2, 0xfed4ebe7, 0x3cbded4e, 0xa7f0a485, 0xe213bec7, 0xde9ac999, 0xa8b3bf89,
+    0x55119b84, 0x8728d3ab, 0x04d74704, 0x8b543028, 0x9567d07b, 0xe70a006b, 0x564c6bf7, 0x2a77b357,
+    0x3b6c209c, 0xa29b8e10, 0x3fa30699, 0x036a57ad, 0xf051dfca, 0x1e0b6aa9, 0xfd6992e4, 0xe374aa51,
+    0xa3ad9057, 0xed395425, 0xf1b00d77, 0x50c8806c, 0x541365b4, 0x1b79474e, 0x4773c4dc, 0xfe6119cd,
+    0x2f7ab06a, 0x33c73660, 0x272926fe, 0x34282b1a, 0x7b41c2cb, 0x8993699d, 0x655f68b1, 0x3e671546,
+    0x7341de0c, 0xf7f34df3, 0x1c5939db, 0x73b97a80, 0x041142b6, 0x21f865cd, 0x8c657fd5, 0x606b937e,
+    0x442d884b, 0xa129b877, 0xfe38480f, 0x9f83768e, 0x9fe18ba2, 0x00472da3, 0xd8bd2fdf, 0x9cc01d9b,
+    0xdaa7d0ed, 0x24e312a4, 0x3850f4f0, 0x843f9c5c, 0x6d5be7b0, 0xe950b41b, 0x68014913, 0xae45210c,
+    0xaa1ca37c, 0x19822685, 0x985ef58f, 0xa856fd0b, 0x873678be, 0xc6408f4d, 0x2477edc1, 0x231860ee,
+    0xaffaf9e1, 0x68eee582, 0x79e64745, 0x52cc03c3, 0x1ddbbb19, 0x91c1f4e4, 0xff3655d2, 0xf31cf206,
+    0x0adf4449, 0x3c5d63cd, 0xb14e2fce, 0x767612c9, 0xd7364f12, 0xcee4d9d1, 0x2a608f79, 0xfac40fdc,
+    0x1a2ac3f0, 0x295c5d48, 0x4b0e01b6, 0xc0fddeef, 0xfe5ea977, 0x9b7fafcd, 0x001bbdc2, 0x6a47fc9f,
+    0xc3d11be7, 0xfbd04080, 0xd446a761, 0x14bcbd85, 0xf8a4d50e, 0x44acc162, 0x553dc9fa, 0x332d2072,
+    0x7c0dae25, 0x88a91f51, 0x2468759e, 0x87e1792a, 0x9e028d97, 0xcdde01b1, 0x53fdf26c, 0x7dec29dd,
+    0xb632a6f6, 0xf9114c97, 0x2ae40d24, 0xea4bf7af, 0x55a2e91f, 0xb9d3eced, 0xabca0729, 0xc4b24692,
+    0x72e9e70f, 0xc40905bf, 0x331c540f, 0x50fe9a16, 0x09c54fe1, 0x85d35b5a, 0xb2302fa7, 0x3c5df04c,
+    0x3e7edb4c, 0x949a5025, 0x3c162f16, 0x5f694176, 0x3bcdc7a5, 0xae5bae7d, 0x1e751315, 0x00cf6afd,
+    0x3ad8ba95, 0xf8d27200, 0xc9cdbcad, 0x5738da18, 0x7c479811, 0x37bfa638, 0xa2918034, 0x3636d56d,
+    0x6df3b846, 0x0e285f3c, 0x47b8f2ab, 0x1cad37f8, 0x5ffef9f6, 0x4aff01c0, 0xbe09dad3, 0x07b3bbd0,
+    0xfc8e68ee, 0x6a6f16dc, 0xb02ee1c0, 0x6ba42e82, 0x49a30e4d, 0xb621ce3b, 0xd0e7bd6d, 0x8138a96f,
+    0xbca0db6e, 0x5fd2dc78, 0x6ea1ea09, 0x21c0561f, 0x12db9938, 0x6c612d7a, 0x8d51d01b, 0x078506be,
+    0xc3e3ae90, 0xa77c60ef, 0x75f26759, 0x1288775e, 0x45e89593, 0xf58a7fe6, 0x55963d47, 0x2d1164b0,
+    0x23bf6bcb, 0x6b8f4c1f, 0x67c7ad6c, 0xb5d232e1, 0xbd0f1604, 0x7f99d5af, 0x9b506d2b, 0xdcaa00d5,
+    0x93ca521c, 0x07f9eefa, 0x269df010, 0xd1f9a795, 0x8489eb09, 0x92a80b7f, 0x8ce8fb2e, 0x31adaeb2,
+    0x61438d95, 0x727718c4, 0xd639a9a2, 0x69a13381, 0xfd5ba4b0, 0x597c9b30, 0x42929306, 0x15667d5a,
+    0x8ad12a63, 0xc5c68574, 0xced93dda, 0x6fd38c48, 0x5dd1f182, 0x17de9deb, 0x7c82cb6e, 0xe7b765c0,
+    0xcc0cc764, 0x618ef59a, 0x9720b12b, 0x0055782c, 0xc8a4d9f3, 0x923d605f, 0x9fb5c73e, 0xae0373b5,
+    0x458b2fbb, 0x46227b6f, 0xd9f5ef09, 0x8b027a37, 0x1ac07616, 0x80a71e3d, 0x46d37946, 0xfb8e64d8,
+    0xc64e4abd, 0xf3ab792b, 0x347f6b5a, 0x11a51103, 0xa747456f, 0x26faac18, 0xcdc34a7b, 0x5d1073e4,
+    0x53d17ef7, 0x96cc6bc9, 0x78f1dba1, 0x35ec0b67, 0x0d258ffc, 0xd3eb3082, 0x0a1e3d39, 0xfbb25e58,
+    0x357ec456, 0x9f2a1a27, 0x023c672e, 0x0e6adbd5, 0x757520b8, 0x16c1a5f0, 0x0a406032, 0xc7fe65da,
+    0x066ca5f4, 0x76e1448a, 0xbf96ba7e, 0xea1f106c, 0xf18a8092, 0x88b58303, 0x036f1019, 0xcf3b9843,
+    0x90ba0008, 0x18eeea2c, 0x3d372ead, 0xafd77d14, 0x9ff53e2a, 0x00ea7a5e, 0x15556b47, 0x997b2596,
+    0x39d5d0b2, 0x813b080c, 0x983e24cb, 0x6a4f43f2, 0xe122ae11, 0x601a03dc, 0x9ae303a1, 0x93c82d90,
+    0x68cf6e1a, 0x92258192, 0x7849e524, 0xbeac133c, 0x4416aa67, 0x613c4e81, 0x288e324a, 0x01f8cbff,
+    0x15415f28, 0x210c5936, 0x184f2113, 0x3bacc920, 0xc926aa79, 0xdf2a07cd, 0x0b2e5109, 0x6da1a47a,
+    0xcf2c8c3e, 0x5128ee63, 0xa66f372a, 0x2bc8e0ec, 0x48d46d9c, 0x95a106ec, 0xa55a177f, 0x521e11f7,
+    0xc2a0c8fe, 0x890a9093, 0x5d08fa17, 0xa8817f45, 0x00c8d8e4, 0xae2c0e9a, 0x54b8a5b2, 0x2e647e7d,
+    0x9b309cf3, 0x01c1af0f, 0x3d04ef78, 0xd8bc5eea, 0x8a046f32, 0x7ed2d8bd, 0xd827f11f, 0xaf922416,
+    0x6f31c7df, 0x37115653, 0x3a2d6bc1, 0x2f9fc2f6, 0x98d5f929, 0x4b885d7e, 0x9417f974, 0xcebffb0c,
+    0xefaba1f7, 0xc35218c0, 0x070c219e, 0x2f2d9244, 0xa83d6b40, 0xc16f68d9, 0x00a0ac3a, 0xc05c1347,
+    0x3b3eefce, 0x5ccaae40, 0x6ebf3541, 0x9b9a142f, 0x035deeb1, 0x842073db, 0xac287077, 0x40347a80,
+    0x33e1484e, 0x2abbc748, 0xba5f0539, 0xafcf9cc2, 0x7e620cda, 0xaa80830e, 0xc6fac852, 0xb6bfafc7,
+    0x68ce4893, 0xcc2e2f97, 0x0910b486, 0x40a1f29d, 0x24627dba, 0xe3ebb43d, 0x36c4450d, 0x53686179,
+    0x192e18c7, 0xec158830, 0x5441e7be, 0x6a8d029c, 0xdea9a2d8, 0x9594ea3f, 0x45f5dd4e, 0xd405757a,
+    0xf087e2e4, 0x2aeda259, 0x7ad3a4ec, 0x2c5736d0, 0xee2230b1, 0xdf857020, 0xc0a26a8c, 0x7aabfe7c,
+    0xc4072d8e, 0x60ef688f, 0x36f70571, 0x32fb632b, 0xbe8818d2, 0x2f9e55cd, 0x410d7fb8, 0xdbf83e61,
+    0x9e511356, 0xa4fd0396, 0x39ddd246, 0x77b664a0, 0x7a7edd4f, 0x20d46f4c, 0xc0f522cf, 0x3596eeb8,
+    0xd59165b5, 0x7f659138, 0xc43b2e83, 0x2be5bc2e, 0xaba03208, 0x40a06adf, 0x7a824a42, 0xd832a2c9,
+    0x2f872d14, 0xce245f02, 0x010b6fd2, 0xce6c136d, 0x8863d2cf, 0x67daf864, 0xd60b565d, 0x9929ad97,
+    0x18beae1f, 0xab0e5470, 0xaffeb8d3, 0x16f0045b, 0xab1caccc, 0x00700c41, 0x3e40b90b, 0xe964d523,
+    0xfe0d316c, 0x8a99e3b2, 0x46585344, 0x37725b56, 0x939f672b, 0x2aba501e, 0x61574d0d, 0x766c5949,
+    0xe2993644, 0xe9ebbad5, 0xa104fb7b, 0xc96e5b8b, 0x0c8b658b, 0x5a2482e5, 0x9100ac6b, 0xdf2772d5,
+    0x30b47326, 0x4d1efcb0, 0x2020652b, 0xd6bdd4f4, 0xb94d932a, 0xe918fa39, 0xaa55483b, 0xd5dd8eac,
+    0xd5d0a9dd, 0x07ee6c07, 0xab02dccf, 0x52a4d9c9, 0xfd176677, 0xd4ae4bad, 0x44e34b88, 0xffdd7647,
+    0x640b7aad, 0x0586efda, 0xf64dbefe, 0x5ec07661, 0xf40238e2, 0x2460ebf5, 0x305e04c8, 0xbaeb3e02,
+    0xaaff3688, 0xd6cb4ed4, 0xb6ab3d36, 0x24cbe897, 0xf5155c69, 0x9147790b, 0xe19c745f, 0xbc0cc622,
+    0x32be0fd2, 0xf46a8f2b, 0xef32c35a, 0xec6cc7e8, 0xea73f13e, 0x30d2167f, 0x6cf21197, 0xe6ef71da,
+    0xd040071e, 0x19e32b49, 0xd6a500db, 0x56e94f44, 0xa887c1c3, 0xfa2b8249, 0xf845951f, 0xad4c782a,
+    0x583041c7, 0xbbe66753, 0x4e508d95, 0xe752e583, 0x4b41136a, 0x1eaffd26, 0x87833cc5, 0x85196ae8,
+    0x98a8d0fe, 0x83197bd1, 0x919a4dff, 0x639052e4, 0xe925c54a, 0x0f7728ff, 0x9a97a174, 0x18e1a4c5,
+    0xa3f17293, 0x0636c7ab, 0x10988bae, 0x5a546c36, 0xee02ff34, 0x23ba4d23, 0x9a33fba4, 0x0bd12de8,
+    0x26bef8a8, 0x61f6f307, 0x88915f5b, 0x896ba448, 0xb85647f4, 0x47110107, 0xbd6afe20, 0x5a2b95a0,
+    0xc00bad31, 0x9dffbeba, 0x6675f515, 0x41a0c1ca, 0xf5743cff, 0x45494247, 0x2d3d0a84, 0xa57733e7,
+    0xdf4688d4, 0x7ff3a04c, 0x90e51ad1, 0x47fcc160, 0xdf2e1df6, 0x0aec6650, 0xf5ea1065, 0x4120d266,
+    0xd58b6377, 0xb5716283, 0xefc85a09, 0x88c5c646, 0x78b09ab3, 0xa551e3cf, 0xe5a72e87, 0xcbdf0a11,
+    0x7040fd13, 0x41bac438, 0x06ddcc4d, 0xca52f00a, 0x51cb6bcf, 0xb5fe0c64, 0xc5c0ed00, 0x5fed0810,
+    0x5ed4a9e0, 0xcdbc4a48, 0x1e530974, 0x51433391, 0x34d513c2, 0x9e9b4223, 0x62c31923, 0x7b26070d,
+    0xacb3a855, 0x7701703d, 0x0da8f42f, 0x66a83d78, 0x33d4e492, 0x8bec272d, 0x584e6ade, 0xa55edc24,
+    0x7a5cbac9, 0xefd355c2, 0x96038a88, 0x059ddd3b, 0x04f0aeb2, 0xd4be97d2, 0x257c0156, 0x1e88ff34,
+    0x330fce25, 0xe9cb2003, 0xf2e6b777, 0xd006cd37, 0x09b849b7, 0xeabb966d, 0xe174e9a2, 0x26cfedf8,
+    0xc5c3d374, 0x9a83d0e2, 0xe2cdbd4c, 0x63f646fa, 0x56906401, 0x05a04e92, 0x54a5a58c, 0x27ef2ef0,
+    0xe3d99b61, 0xd368b4f4, 0x19129c0a, 0x4e20210b, 0x1f0c22a3, 0x405fa23a, 0xa7a2926f, 0x11bf7c54,
+    0xc76457c8, 0xc86d254d, 0x9104f090, 0x3ab86bec, 0x03cb0b5f, 0x6cbeea60, 0x4e8839a7, 0xe6439123,
+    0xe6c7fe2c, 0x4e170e10, 0x4c6e8daa, 0x02df40fa, 0xab6ff4e1, 0x8c384543, 0xb38016c6, 0xf6ef8c40,
+    0x9fb9c3e7, 0x21d60d3f, 0x17d0d514, 0xe306a8a7, 0x859ab443, 0x9a8073e9, 0x944c89ff, 0xdb8d4b99,
+    0xf95433d8, 0x619e01d7, 0x866b3ae3, 0x75cbbffd, 0x36c4ca88, 0x8acfbe34, 0x5f009f80, 0xac2308e5,
+    0xee1a9c52, 0xa8585fac, 0x5334fa69, 0x75f5ad75, 0xa0338554, 0x8fe58448, 0x6a27b578, 0x1809a69d,
+    0xf13f041a, 0xbfaab705, 0xc9fc6abc, 0x82dc944c, 0x78090e1a, 0x5e8f1383, 0x9ccb1ff6, 0xe951eb65,
+    0xbc866ff5, 0xa06a1386, 0x71460cf6, 0x1dfc299c, 0x0ecf6ccb, 0xba599c6a, 0x880df612, 0x4b8e61a2,
+    0x85c7f1c6, 0xdc7004eb, 0x46f0d33a, 0x549c4f28, 0x37b32f4b, 0xb33b2aaf, 0xbf4ad0ca, 0x56407d71,
+    0x6b48d4af, 0x690ceb1f, 0xb33960a0, 0x6ec96dee, 0xf76f9d7a, 0x1b2f4b06, 0x62d20348, 0x391b12f5,
+    0x682cf822, 0x6b200501, 0x7957ceb0, 0xf842fff2, 0x9d2778f6, 0x61fb54d9, 0x7b2345ed, 0xfe515083,
+    0xaae47bc6, 0x80ebcee6, 0xacc17fa8, 0x79e1a1e0, 0xfeabcac7, 0x40b4d9ac, 0x6966e455, 0x728aad6c,
+    0x8c5417fa, 0x7d18f7dc, 0x25711f63, 0xbf7c0eaa, 0x3fe2cf53, 0x52e1ba0d, 0x76618357, 0xd69ee48a,
+    0xadd319b3, 0x8e0e225d, 0x1ff38b93, 0x51a18aca, 0x9218f261, 0xb5bca8a2, 0x66250683, 0xa39951ff,
+    0xb8a4a963, 0x2b339b81, 0xcca87126, 0xf7e84bc0, 0x51891b20, 0xc16ac6a2, 0xc434c46e, 0x6d2a6d9d,
+    0x0bc0cbb6, 0xb17cc536, 0xca77f9bd, 0x1955e46a, 0xdac37626, 0x708213aa, 0x836e677e, 0x0912be57,
+    0x27b94d41, 0xc79ca5e8, 0x9d73cd4d, 0x7dd40437, 0x83c6dc01, 0x3350c2af, 0x10f911be, 0x872bcce3,
+    0xc866f366, 0xc0f22a67, 0x6b8773c4, 0x1b743780, 0x1ee7ba8e, 0x0739c891, 0x57c054c4, 0x738e1193,
+    0xcdf815f2, 0x5594bee2, 0x007cfbb5, 0x36440089, 0x4cb7bc94, 0x67cd55b6, 0xf0980254, 0x4e93d515,
+    0x2e882b95, 0xbac43fe7, 0xa4908c2a, 0x730bfd94, 0xe904d807, 0xa796ef00, 0x3b4bd0bc, 0xd6519538,
+    0x8390337f, 0xbf67cee4, 0x4bc23746, 0x024e908e, 0xa9faeb50, 0x0928df87, 0x444159a7, 0x89f80a5f,
+    0x3693d54b, 0xd84df031, 0x00e61a75, 0xcb53a497, 0x94afd1bf, 0xecf2f005, 0xa1099a81, 0x1b6dc0a0,
+    0xb57776e6, 0xc2f75ad7, 0x95b3038f, 0xea1ed998, 0xd7df4139, 0x70a22d9e, 0x2293c93c, 0xf053e265,
+    0x3c130691, 0x0c40e67d, 0xa65077ac, 0x63dc9689, 0x7896ceaf, 0x0e92a146, 0xdbee9f65, 0xf61ef834,
+    0xc42dfd14, 0x788cc1c4, 0x5cfa7f07, 0x5524c6bf, 0xbe0f0460, 0xccd4eabc, 0x81426dd8, 0x988ff619,
+    0x7d8f725a, 0x6eb65c7d, 0x93dedccf, 0xf5b99826, 0x46b3fb85, 0xc1b63d1b, 0x3f98578e, 0x2670c88d,
+    0x9681db8d, 0xeb5127ff, 0x041359c2, 0x79b299b7, 0x30656b9a, 0x026a347d, 0x7fc1eea6, 0xfd51543d,
+    0xfeebd3d6, 0x53d0d5fd, 0x8e301774, 0x06d8d2aa, 0xd23de610, 0xfd7ce997, 0x73650934, 0xf25e107a,
+    0x00000000,
+    0x9c52f428, 0xc1db4154, 0x622ae0c5, 0xf99af021, 0x7d187a62, 0x6e49537f, 0xc84c52b1, 0x2693aa01,
+    0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000098505015490986198030697600250359034512\
+                          69934817616361666987073351061430442874302652853566563721228910201656997576704 */
+  { 0x00000000,
+    0xff088b09, 0xdb727716, 0x7df159e4, 0xf16d9ba5, 0xa4de6d4b, 0x8c3bde12, 0x8691cd99, 0x243cbc8b,
+    0xcfbe5c58, 0x820d3948, 0xd8fcfba3, 0xac9ce4b3, 0xa0334f31, 0x5309e910, 0xb4d507d9, 0x36e48b75,
+    0x754d8c56, 0xe0924924, 0x16c56b25, 0xfee77539, 0xb100e691, 0xc66875ef, 0xa889cd22, 0x365ea329,
+    0x300f85b1, 0x222ba6c1, 0x92828efa, 0xf27ac113, 0xef8e543c, 0x6c6335fc, 0x29e78c4d, 0x40f1d4b5,
+    0x44c291e2, 0x8addc2c8, 0xf2579939, 0x507dcd5a, 0x24d84213, 0x47757d99, 0x43f561bd, 0xc88a0358,
+    0xa9de5486, 0xf33579ea, 0xfda29812, 0x9f2792cc, 0x44772d52, 0xd0993a49, 0x2aa1a07e, 0x590a934c,
+    0xa452336b, 0x425ce144, 0x922b685e, 0x4e16f684, 0xb23e1fab, 0x2aa2909d, 0x448434ce, 0x1ba515db,
+    0x60e742e5, 0x1cdce86d, 0xfaf81081, 0x6c08f8a7, 0xfcba6bb1, 0x6cdb7737, 0x4bca45ed, 0xee8a7989,
+    0xe54e9c29, 0x5263ba33, 0x6fbd88ee, 0x337012bf, 0x415b5168, 0x131b94af, 0xa4f96847, 0x754a3ce4,
+    0xda19391a, 0x584a9a3f, 0xd022ef33, 0x0c1d846b, 0x8dfeba2e, 0xd4367c05, 0xc835755c, 0xef546a6e,
+    0x8d96918f, 0xd2576a53, 0x946cbf4d, 0x592ba15a, 0xc54bc4c4, 0x7d1fa705, 0x78b62256, 0xffa20992,
+    0x1247605f, 0x8dffac23, 0x7a4fc55a, 0xcfe42078, 0xf064cba1, 0xb8b5c148, 0x4c0abeff, 0x4746df50,
+    0x5ca25608, 0x93901d48, 0xbfa65554, 0x5f928066, 0xd35c536d, 0x9971fab8, 0xa03f0d48, 0xe4ac42ec,
+    0xa70ea846, 0x008c1c0b, 0x50ec15f8, 0x0503fc13, 0xabae686a, 0x4f92c24c, 0xb4c89137, 0xc8323c7e,
+    0xe6ac12b4, 0x919ede63, 0xc24bec24, 0x60f9c335, 0xc94a5bd5, 0xf27e9c3e, 0xa04672bb, 0x61bd995d,
+    0x7d0fb6b3, 0xb5acfa0d, 0x81a26e45, 0x03e3c4f6, 0x5410f1c2, 0xc89e42f0, 0x1e115bad, 0xb61be3d7,
+    0xf4db2260, 0x09550454, 0xe837be7f, 0x7426fbe3, 0xf60fb5f1, 0xfd955839, 0x77faebd4, 0x633bb03b,
+    0x8f12837e, 0xb05d6809, 0xa75b7128, 0x3edf22cb, 0x2002b447, 0x3d01cec4, 0xeff3ede8, 0x554e22e9,
+    0x38b31d10, 0xd1a1c768, 0x539d5867, 0x777a4e72, 0x5ca116c9, 0xcf1ac4f4, 0x25224f15, 0x9078a70b,
+    0xe5eb8b5d, 0xd8ef276a, 0xc4fa3f8a, 0xe26aca24, 0x28713bf5, 0x2c25bace, 0x854636dd, 0xd4e49d12,
+    0x4d2c47d7, 0x99228f8c, 0x26df3b70, 0x70d48914, 0xb892b157, 0x0df4ae8f, 0x0391a1e9, 0x23450385,
+    0x3acd0794, 0x66a77299, 0x22cfc246, 0x513aeaa6, 0x4c03b40c, 0x0546fb62, 0x2acdc344, 0xdfd41b45,
+    0x23628fb4, 0x644e9358, 0x52d7c7af, 0x18690b29, 0xbb8d482a, 0x1054a187, 0x1597727b, 0x69bd30da,
+    0xfec46a98, 0x074d026c, 0xc90e11e6, 0x088f11a4, 0xd3274f75, 0x64429823, 0x6340ea34, 0x09717409,
+    0xe5b2f63a, 0x041c7b91, 0x5ec97b7d, 0xc4150115, 0x6ea410e3, 0x6e4c0803, 0x8eefc746, 0xab2bfa97,
+    0xdfe1cd64, 0x7c6f5876, 0xdb6e3207, 0x8ca0d44d, 0x32b12909, 0xc71028b4, 0xce3c1688, 0x0bdb35cb,
+    0x92edccd7, 0x5ef4c0cb, 0xffef1389, 0x1466f4df, 0x215fd5f2, 0x0d93cd07, 0x9e81368d, 0xbb53ce2d,
+    0x034fa4b6, 0x2666a055, 0xcbfdd250, 0x3136f346, 0x6215e9bd, 0x2e957d8b, 0x5eab6bbb, 0xc756754a,
+    0xf99203cb, 0xf3d15dfc, 0x108a533a, 0x5942a7d5, 0x2cce336c, 0x6a28b774, 0x0e00d81e, 0x47425473,
+    0x6f6c7182, 0xaed60f08, 0xaaa893c7, 0xfa59f527, 0xa40d6ac3, 0x57a0a605, 0x3d2056ec, 0x8e493f57,
+    0x172e1257, 0xcc422050, 0xc2e54555, 0x3b32051f, 0xb3826b9a, 0x30e4d95d, 0x995e0006, 0x22ab8172,
+    0x96cc5746, 0xc36182d8, 0x3c827db4, 0x98e45869, 0x06705959, 0x0ab94e5c, 0x47867bed, 0xf692994e,
+    0x311632d1, 0x86c0463a, 0x1c830dd5, 0x08170dd5, 0xb8000e02, 0x889b1c51, 0x6c298d3f, 0xd3a120a1,
+    0x549855b1, 0xef5b01fe, 0xc1b68886, 0x31c6f8b2, 0xb350c688, 0x782afec8, 0xdd13af80, 0xf0eecfb4,
+    0xb8812ace, 0x139e16c0, 0x21ae06a3, 0x574c6992, 0x315e813d, 0xfa11be15, 0x24f890c2, 0x19e5b8f0,
+    0xc9e683e1, 0x8a6a6de4, 0x5f828834, 0x44bee1eb, 0xbbdca1b2, 0x953eae6a, 0x0c26397a, 0x99ad151b,
+    0x68e73efd, 0x114d5ff3, 0xa5d63b73, 0xf0bc5e1f, 0x382f00c6, 0x7ab9e9e4, 0xbce6aca5, 0xc07fe001,
+    0x3cdf7991, 0x0730241e, 0xc3de5043, 0xc4ab6f90, 0x5cbcae02, 0x2ad94cc9, 0xc64803a5, 0xbd283a02,
+    0xadd86a9f, 0x89c8f464, 0x10f4d81b, 0xf05704b4, 0xec530d9c, 0xcc918121, 0x6ff2084e, 0x403c0190,
+    0x94b34ca3, 0xfbf9cc7f, 0x114fc319, 0xff956409, 0xe013e009, 0x27632643, 0x1364e7ee, 0x7f4e3c9c,
+    0x174572dc, 0x69220766, 0xae29f630, 0x25961510, 0x333574c2, 0x212f5952, 0xa0c74cf1, 0xaa17691a,
+    0x857f54bc, 0x71d2179e, 0x37365ce6, 0x63e1b871, 0x5e1e63fe, 0xa7259430, 0x33fb5873, 0x8bac91bb,
+    0x5f2fbb1b, 0x222be074, 0x0caefcb3, 0xedf55827, 0xd745163d, 0x82b94b29, 0x5aaad623, 0x1690e3a1,
+    0xd119b754, 0x01c3f08c, 0xdd312cf8, 0xbcd7add2, 0x814a8819, 0x67d700c7, 0x03fa943c, 0x2a4bc275,
+    0x00a7ae82, 0x651b1719, 0xa70712c7, 0xb996791c, 0xd1c029df, 0xa9b74e46, 0x3af60301, 0xb13cdfc8,
+    0x4cd92c0b, 0xee58e0dd, 0xbfc0f823, 0x749239de, 0xcff13629, 0x63b4349f, 0x3f56a566, 0x546b4f9f,
+    0xe1ead220, 0x6dd2c994, 0x477d3fe9, 0x33cf20dd, 0xb290d797, 0x47d6b6f4, 0xa9c9e27f, 0x856e2b41,
+    0x4bce6d41, 0x7a832b8f, 0x2739d925, 0x2a01ceff, 0xef32bc26, 0x3f3c4efd, 0xa7d40423, 0x4a70ee6e,
+    0xb30949a2, 0x08b4f528, 0xcc7dc629, 0xd1c30c40, 0x945a01fa, 0x2d47d80b, 0x9a05e915, 0x21bddb67,
+    0x775a2fb7, 0xc30b932b, 0x8962f563, 0x8cf9fa47, 0x74333809, 0x98cb1fc6, 0x6d3c406d, 0xfd9b35c2,
+    0x5b1573fd, 0x4cb85635, 0xf23ee32b, 0xc1cf4148, 0xfbbd43ac, 0x795b0686, 0x9193321c, 0x5518381f,
+    0x08208af7, 0x3c8a8765, 0xe03d9fcf, 0x7a3309aa, 0xb2d51f09, 0xe62d154c, 0x3324c01a, 0x2a668fa2,
+    0x5ab25442, 0xcace4d5a, 0xa78ed08c, 0xd3468472, 0x22a129d8, 0x4429850b, 0x431c7bb1, 0x6d4aabd0,
+    0x39ec21a6, 0x964ad81e, 0x3dba10a9, 0x6d2f7578, 0x126743bb, 0xcbf900fd, 0xca2ec050, 0x2de095c2,
+    0x1f7cb5a3, 0xc3b1fd23, 0x4a57d875, 0xb3a8ca30, 0x8493fa8f, 0x8f898137, 0xc33d6071, 0xc6933894,
+    0x9620aa4e, 0xbcc010d6, 0xd57551f5, 0xc33773b4, 0xc3ca387b, 0xaca8088f, 0x97274acd, 0x676cea95,
+    0x0a9ccd2f, 0xd35473b0, 0xa3743f15, 0x25bd53eb, 0xb682ab65, 0x5de70de3, 0x8d9a7008, 0x9fba15bf,
+    0x75a6a3c4, 0x96966ce2, 0x713495d3, 0x9c3cd431, 0x51fa03b5, 0xe0999937, 0x01968975, 0x68b0c116,
+    0x0fde6f1e, 0xd4b5c35a, 0x13e61fc6, 0x7b1507df, 0xc51bcdee, 0x6d405d18, 0xca581d4c, 0x7e7f5f04,
+    0xd1f32003, 0x7e3de721, 0x5e7e6aef, 0x8f4ec2f6, 0xb1e6c306, 0xe3d5012e, 0x75a43552, 0x0876c300,
+    0x49fdb652, 0x44ebe076, 0x7c81a8d5, 0x0cf3dece, 0x5837e708, 0xe5af0dfc, 0xeb01552c, 0xfed4ae6f,
+    0x0c8a1877, 0xaf92f969, 0xd2fda2c0, 0xc094c9e0, 0x87471c65, 0xb9b96770, 0xc2b0dec7, 0x423798f4,
+    0x537c811d, 0x34d2c338, 0x80836fea, 0xba8fcbec, 0xd1b88770, 0x80318221, 0xbea6b7d6, 0xdd5cee14,
+    0x392d8296, 0x20f3268e, 0xb2e99405, 0x72629672, 0xa3c5bd23, 0xe3e0664b, 0xdadf02d1, 0xb6a21370,
+    0x9085e89e, 0x71b1baad, 0xbe777bad, 0xd7d03af5, 0x3f755062, 0x0a4f2deb, 0x61724998, 0x285830b0,
+    0x5632d843, 0x95ff03f3, 0x36c533ee, 0x60a129e1, 0xfea89ee7, 0x938e2999, 0x6e781c15, 0x5c92fc39,
+    0xa5dfb453, 0xf04cc410, 0x5106350c, 0xb653e8c7, 0x1ce1352b, 0x72b57de2, 0xf343d20e, 0xd454e42c,
+    0x08445031, 0xca2cbdbb, 0xdf6ec5d9, 0xb14b3d9f, 0xe3eff911, 0xb3d57340, 0x850507d2, 0x4833ac03,
+    0x75c85eb7, 0x93dbd403, 0xdfe815fc, 0x9d616ff4, 0x5a90cf4d, 0xa037be3d, 0x12e27002, 0xc1bcf2db,
+    0xfd3273b6, 0x9e666409, 0x5ef49f9d, 0xfbba3611, 0x59eec690, 0x9b003391, 0xd0043440, 0xfc21d262,
+    0x4c12d523, 0x837b083e, 0x72827772, 0x7163067a, 0x0f0095d5, 0x3205d4e3, 0x43ea037d, 0xd1d04d6c,
+    0x8dc12e63, 0xd77ce6ef, 0xde451c83, 0xc6ff5854, 0xdfd37a91, 0x0b208be6, 0xd269a13d, 0x739d6bb9,
+    0xfadec4c9, 0x0102f039, 0x691a734b, 0x264e7083, 0xe94aa790, 0xc57a348d, 0x17871211, 0x4956b216,
+    0x5dc1c1bd, 0x33a7c4af, 0xb437bdab, 0xeecb9ea4, 0xcc5894f4, 0x21ad6c9e, 0xed31cc24, 0x0a15e78e,
+    0xfe52804b, 0xe9026091, 0x50ae572a, 0x7244e685, 0xf3437ba4, 0x03460831, 0xd9e9797c, 0x728e547c,
+    0x79343e08, 0xf7031550, 0xfcdc0ae4, 0x23d01a17, 0x77825d48, 0x668ea6d0, 0xb71b0b92, 0x5168681c,
+    0xf84a77cc, 0x1445f543, 0x02578774, 0xc521a55f, 0xea96dddb, 0xf3fa87e3, 0x3a31c168, 0x994efa7e,
+    0xd4a60858, 0x69ebc98b, 0xfd711a2d, 0x3a67a742, 0xa67b4363, 0xcbf7b6a6, 0x8bed7d37, 0xb3559f56,
+    0x7256fc67, 0x9fb3e5ee, 0x9f50e9db, 0xe20986e5, 0xe009087b, 0xc0c24027, 0x4232dc91, 0x491a2f39,
+    0x19a92a3a, 0xfa3a46ae, 0x7a7a06da, 0x715c18b1, 0x5557e405, 0xe63a629b, 0xddff04ca, 0xaa547f8c,
+    0xe8be8aaf, 0x979afc02, 0x5ff1ac9e, 0x8a77e459, 0x686eaa84, 0x8633f669, 0xca660dbb, 0xe8910bf8,
+    0x1da9a98c, 0xa605525f, 0xd0c42925, 0xd7db38cb, 0x2d7a7aa4, 0x7fa061ca, 0x20de8333, 0xf09acd26,
+    0x0ce40a43, 0xf556ecb7, 0x79bc7a50, 0xd33696b6, 0xad5ab1a0, 0x7c73733c, 0xa1bbc3df, 0x8eb64734,
+    0xb0c3e2b9, 0xe07a13f9, 0x591fa1ab, 0x766ebc30, 0xa7fda0e0, 0x79038dbd, 0x6a0975b1, 0x8dd17c35,
+    0xd31aa993, 0x40d2e986, 0xa43fd7ff, 0xb30cf9b2, 0x362cb4f2, 0xdcd6640d, 0x74eabfbe, 0x4d94d70b,
+    0x6c90ebc5, 0x620b85ce, 0x8a50a29d, 0xaaacf93f, 0x32043aa0, 0x28f71d69, 0xe9683627, 0x99a0bb25,
+    0xcd9332f9, 0x28aa9839, 0x69c0f47b, 0x9563ace6, 0x2bfdb8fd, 0x98c68ce6, 0xca5929ef, 0x735dbb60,
+    0x57a4a4a4, 0x63c07e82, 0xea8f175e, 0x12bde065, 0x93095c2d, 0x2aea932e, 0xa0afac14, 0xc7c7a90b,
+    0x2dda4107, 0xe6634895, 0x111cd93b, 0x22425131, 0xa60b6c92, 0x164c2f53, 0x53988b4e, 0x5a337829,
+    0x962a9222, 0x0df44410, 0xd7eafdcc, 0xc3e69261, 0xce348f77, 0x84c65666, 0xba472002, 0x9ce114b6,
+    0x2791a8a9, 0xac2cf6f6, 0x84a477d9, 0x2a8c08bd, 0x25cda538, 0xf8b4594b, 0xf4169571, 0xbd931809,
+    0x514f72d3, 0x5b27acbb, 0x6b10590b, 0xbaf656c4, 0xc25c745b, 0xaa5c897b, 0x998dc7f9, 0xf28d4ed3,
+    0x4c514c8a, 0x9ad25915, 0x3a481fef, 0x2489eca4, 0xa9f98c76, 0xda9796bd, 0x512d14cf, 0x0e6b497a,
+    0x8133a07a, 0xc6efec01, 0x636cd2eb, 0x8493c99d, 0xaacb1dec, 0x4efa0a5f, 0xc9f5c26c, 0x3a63cbda,
+    0x3b98455f, 0xeabe53a3, 0x20c304a5, 0x340c75cb, 0xce6d098d, 0xb248e2e0, 0x61701040, 0xd1c6c81b,
+    0x5ad53d5e, 0x1c2b5f8c, 0xc4b61c86, 0x6cdaa08a, 0xdbd1e9f9, 0x4b388ec5, 0x23d2e8d3, 0xe9bc84f9,
+    0x0169beeb, 0xf057493b, 0x01158527, 0xff9a4013, 0x9d7d3416, 0xb39189f8, 0x1d0f8c3d, 0x4808c014,
+    0xe31ce44b, 0xa39e0dbb, 0xca2ad689, 0xb2d2b319, 0x6f6c960a, 0x00124ed6, 0xdccd9b3b, 0x7d32887d,
+    0x45b70820, 0xdfd89d2d, 0x07cbdd61, 0x6caf1282, 0x38604ef9, 0xf5e69da5, 0xe8db1446, 0x0c31aa17,
+    0x4088744a, 0xfca1fa3c, 0x5e5034c3, 0x292c7d86, 0x017f1944, 0xe6a6f14b, 0x2dc9e2ac, 0xd4604057,
+    0xe64b4d92, 0x45e36633, 0xde926bcd, 0x62cec79d, 0xb3a8d995, 0x2e547cb7, 0xe776b697, 0x73430732,
+    0x76b16b45, 0x462857cb, 0xf33ae6fc, 0xeb9c1a58, 0x1f35fcb8, 0x031ec7c2, 0x0e4b9cf5, 0x5eba0208,
+    0xa19fdbe4, 0x5aebb96d, 0x26e51b18, 0xef8e8e87, 0xa2d389ab, 0x01ca006a, 0x3cfddd0f, 0xc050c9d7,
+    0x04f99ba4, 0xcbe843ca, 0x44cd7746, 0x540ff27f, 0xbd22c0fb, 0x8fbc1691, 0x52770643, 0xe27c9b47,
+    0x7ab86f27, 0x3e685156, 0xd809a282, 0x6f298a8e, 0xb82d27bb, 0x3389ffb5, 0x8fc8f5b7, 0x7ad58e7f,
+    0xc8d80af9, 0x41cb33ec, 0xb1fe3478, 0xaba4064d, 0x2344c287, 0xbe3834a8, 0x56ddd504, 0x946bd743,
+    0x8644a823, 0x4a6a31e6, 0x60e50efc, 0x4e4cec71, 0x0e28ea0d, 0x52b80ab8, 0xfdd9345d, 0xaf4f276f,
+    0x3ef257d2, 0x7c75541f, 0xd627b6d1, 0x82d71dc0, 0x311942f4, 0x35930db2, 0x9f0e0bb2, 0x883a1ee2,
+    0xc4cde3a7, 0xfc235063, 0x974ec30a, 0x34ef495c, 0xe598a5e4, 0x5fcaa482, 0x30153cf1, 0x07bae658,
+    0x540f3e78, 0xfdd758e6, 0xefee8422, 0xf84a4786, 0x50fa0b9b, 0x6c9add3e, 0x1fa108cc, 0xd390e80b,
+    0xe9086089, 0x8ab922fc, 0xa6c34ea6, 0x5c17b52a, 0x47d42272, 0x733245c5, 0x87724cb1, 0x61a7d549,
+    0x6935d760, 0x6c3dc55a, 0xc63705bd, 0xd8c33dbe, 0xa84d8108, 0xe8ea179b, 0x299491f6, 0xb812409e,
+    0x8177926c, 0x3b345c1d, 0x5f851c6d, 0xd8b77b3f, 0x7f2ea5e4, 0x40294c70, 0x9158f28b, 0xfae0b593,
+    0x136da8ae, 0x3e532594, 0x03e72b61, 0x634c2a8e, 0x1485eff1, 0x7d9cf1ee, 0xff988edd, 0xaf1bca19,
+    0x5abaa206, 0xc7168fb6, 0xa4b9cf00, 0x7ab9e856, 0x6532d563, 0xaae86cea, 0x605db513, 0x64bd080d,
+    0x11162586, 0x5ed5b237, 0x99dc8444, 0x82f0e28c, 0xa3496c26, 0xc02d47c8, 0xccc03f96, 0xb3632b02,
+    0x999cd998, 0x9d07681a, 0xb3cb7867, 0x54492e74, 0x3f903b09, 0xbaa3dabf, 0x92f5410e, 0x6fef52d9,
+    0x94461831, 0xa98e976f, 0x523a8f43, 0xe1186924, 0xc0ce1983, 0xaf090bb5, 0x812b1b19, 0x634e6e58,
+    0x1d0d07f8, 0xae8c4453, 0xbfe94536, 0x4beb4761, 0xae33c4c9, 0xf55f3617, 0x1e8f29b4, 0x0fd110c1,
+    0x6ea8ac5c, 0x33e97b71, 0x2a9c9e12, 0xaff3f516, 0x9e769b99, 0x12fa1379, 0x9affe6fd, 0xa1e4d9bd,
+    0xb9edb354, 0x83638278, 0x0bd8308e, 0x6f98a4e4, 0x23eeb121, 0xa71a47b2, 0xcf5041a9, 0x145f4407,
+    0xa87d4a8f, 0x0e5f6bbe, 0x7ef882b3, 0xf54fb0e3, 0xdcf1ea06, 0x61a659fc, 0x30eb3de6, 0x4e70101d,
+    0x9463bd96, 0x2cef66bc, 0x24f4d3de, 0x1f5f184a, 0x0a18b379, 0x5b4f9d5c, 0x47aa9adb, 0x217b5115,
+    0x533420de, 0x9a5ddb37, 0xd6d03f32, 0x2af5d836, 0xc25af226, 0xd302a74c, 0xacef8d66, 0xf4850e01,
+    0xbb9a0be8, 0x90927d53, 0x63fcd0ff, 0xc8af32f6, 0xac8211a4, 0x28568fad, 0x4edf256b, 0x72e66bb5,
+    0x3116aa4f, 0x267c85cb, 0x4b2aa155, 0x35dd3318, 0x8d25d1fa, 0xdc01e4b4, 0x3fb71343, 0xf9172952,
+    0x00000000,
+    0x4e297a13, 0xe0eda0aa, 0xb1157062, 0x7ccd7810, 0xbe8c3d31, 0xb724a9bf, 0xe4262958, 0x9349d500,
+    0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000049252507745493099015348800125179517256\
+                          34967408808180833493536675530715221437151326426783281860614455100828498788352 */
+  { 0x00000000,
+    0xddfee2c0, 0x9a8c8c53, 0x20a59d1c, 0x8978fea0, 0x30377315, 0xe8b90ca6, 0x2ccd1e34, 0x5f2304fc,
+    0x89c9eacf, 0x97dbb3f8, 0x9f4a4d25, 0x18d21a1b, 0x8185692c, 0x6d753a4b, 0x8650e7e7, 0x1ac7336d,
+    0x4c35b5ee, 0x857cf217, 0x2ae8c0e2, 0x77821798, 0x7f6ddeeb, 0x5638a02a, 0xcff009e1, 0x2ce86a01,
+    0x0faa7f09, 0xd5316bb1, 0x89e6caba, 0xc905d687, 0xecb916c9, 0x3b130176, 0xa7b221a1, 0xbdb9fd60,
+    0x2f64936d, 0xea28a7ca, 0xa59b46a3, 0xd2f9fd13, 0x265ddf17, 0x711ff703, 0x6df8ee96, 0x296641c5,
+    0xe8732185, 0x9d0636d2, 0x4b2fb309, 0x2e1a1480, 0x30c9e518, 0xf8d99e56, 0xd8050470, 0x93bfccb2,
+    0xa967fbed, 0x210c9d9c, 0xb69309bb, 0xaa2a9d9d, 0xf42003ca, 0x1ea1668c, 0x7505cc95, 0x1befea1d,
+    0xd8a055ad, 0x4b058c86, 0xef8b97d8, 0x41c674b7, 0x556c24f2, 0xf010a129, 0x171e5cd5, 0xe812e674,
+    0x7da2dc4f, 0x13bb0e61, 0xd0874159, 0x3b2f2614, 0x975a4b33, 0x4c377c48, 0x6bcf0b56, 0xf5e882b8,
+    0x71416229, 0x531c40d6, 0xd8b40d8b, 0x2ef8e273, 0x6a445421, 0x83680b5e, 0x4efa4583, 0xf6956930,
+    0xaaa09693, 0x5c556578, 0xfe079ee2, 0x3f339e87, 0x09d453a7, 0xdedcb9fc, 0x3ec4e443, 0x6d4b88c6,
+    0x3da8c750, 0xd7321e2e, 0x1d3d04c6, 0xdea68755, 0x68ee5b5d, 0x473a63d1, 0x750b4ef6, 0x3680f74f,
+    0x6dfc7132, 0x0b0a0d2b, 0x2ff9a603, 0x2e95ac13, 0x36b0c7c7, 0xa38c7b01, 0x09e46c19, 0xb69cf8c1,
+    0x770af1cd, 0x17fa45de, 0x5d05d7cb, 0x28b09761, 0x4ef3db5e, 0xfa8fe6d4, 0x96085e0c, 0x0abef203,
+    0x3865aebb, 0xb0ae4d13, 0x7d87e43d, 0x9375c15f, 0x93164957, 0xdb44c530, 0xeaefc04d, 0x3bf2d2a9,
+    0x93c32bc3, 0xb7f723af, 0xa26da101, 0xf503da40, 0xaf202893, 0x12f90550, 0x05f73085, 0x9dd29cda,
+    0x6f4e1282, 0x248cc521, 0x65992ee8, 0xa197665a, 0x38db39d9, 0x739323d5, 0x06290837, 0xbf48875e,
+    0x5af5cb67, 0x7b6bc167, 0x130d91dd, 0x2ea2e02e, 0x98ed4c92, 0x1f83ec33, 0xd0d8bd81, 0xc8684425,
+    0xb185c408, 0xed0a6fd0, 0xa9952923, 0x5df08da2, 0xd7b139ca, 0x83390972, 0x660a0580, 0x7a0b8655,
+    0x89e12817, 0x96e3f794, 0x5647273e, 0x0a7b9200, 0x0a61ba0b, 0x3857852d, 0x484c0320, 0x06fdeea6,
+    0x64e732e6, 0x1cc8d74b, 0xe414cfaf, 0x525f832b, 0xea177784, 0xfcde6bf8, 0xa3391dca, 0x0531cea8,
+    0x8ad0a568, 0x6a2db57f, 0x37a531ba, 0x2773462f, 0xa7b7229b, 0xb19e05c9, 0x1e87d83b, 0xa1140d6b,
+    0x02bd9765, 0x5ff0fe97, 0xfbc0874f, 0xaf8897e7, 0xd4642998, 0xbd0216e1, 0x180c2638, 0x5e8541e3,
+    0x25fab5a0, 0xc3e10a4d, 0x9ff15bd8, 0x9fe662a3, 0xa13991cc, 0xf47e9225, 0xe11dadc9, 0xa648975f,
+    0x5e343826, 0xe73ecf60, 0x3851b634, 0xf4de0fe7, 0xf6aabaee, 0x5c0061eb, 0xce91e03e, 0x62290a45,
+    0x408d8a3f, 0xde529a76, 0x6face450, 0xfe8ca730, 0x4601ac51, 0x591ff218, 0xe6a3963d, 0x565ef825,
+    0x963e62f7, 0xb27bf56a, 0x8ec5f0fc, 0x5eef6e5e, 0x99e6b4e2, 0xb29e9a4b, 0xd66b6d7f, 0x63635c40,
+    0xaf8c2bcb, 0x73b1134a, 0x7cf415fd, 0x78a022ac, 0x5ca8e897, 0x1377c369, 0xb59f92bc, 0xab2f441e,
+    0x6ebddc9c, 0xe865e6db, 0x303bc560, 0x2cbeb9cd, 0x5f480b9b, 0x3dafb2fa, 0x2b750318, 0x96bbd4d6,
+    0x7afe6f28, 0x0736429d, 0x232ac87e, 0x5bb2491e, 0x7f00a015, 0x550fc720, 0xd401e604, 0x2d8af018,
+    0x53756f45, 0xa71cf03e, 0xddce4a99, 0x8e90f5bc, 0x0ee83ba5, 0x5353d07c, 0xca1ae433, 0x68920463,
+    0xfd1e137f, 0xbedd115e, 0xd4f3c41c, 0xf4e20b6d, 0xf0ee4378, 0xf2538280, 0x0f94fccd, 0x680f7382,
+    0x32f8d9f8, 0x9a0057f3, 0xc317e393, 0x586d8f9b, 0xf5ca07aa, 0xe5c62c2e, 0x11d4f311, 0xd6c42946,
+    0x76fb9094, 0x8f56bde1, 0x52e7711b, 0x3bdd597d, 0x268339dc, 0xad18af89, 0xd3f2ce7f, 0xb3036b22,
+    0x21fc45f5, 0xcf790c23, 0x7e3ddfc8, 0x17649c24, 0x66f045cd, 0xf89129f5, 0xebb7d09a, 0x3e1873d9,
+    0xea50f4c2, 0x5dd8d234, 0x7f2076d8, 0x79691639, 0xd7ce31f1, 0x95e23d84, 0x48b75787, 0x47c7b570,
+    0xacce826c, 0x9cc6f34b, 0x6680bfe2, 0x13c7774d, 0x956d28fc, 0xc61d25ca, 0x463ab49a, 0x9b477239,
+    0x6c626cfa, 0x571c41df, 0x20606fa9, 0x2ff41ff8, 0xf951a038, 0xc09cfa0f, 0xc8930638, 0x85f1cb47,
+    0x704eb4cf, 0xc9f728e0, 0x131b4b4b, 0x29889bfe, 0x7a72d470, 0x8f4e765f, 0xadabb3e4, 0x7a803516,
+    0x20ca2376, 0xc3412449, 0x97f9b6c7, 0x8264873f, 0xcdd17f0a, 0x8440c4b6, 0xd8e99d26, 0x0f726800,
+    0x489f1f60, 0xf0ce436c, 0xe8922f37, 0xf81f7641, 0x636a9936, 0x00cc0710, 0xb18d712e, 0x1705fecb,
+    0xcd907e11, 0x73629e25, 0x935c39b7, 0x8cc1d57a, 0x0a005822, 0x93d10899, 0x7629d6d9, 0x39e289ed,
+    0x9c4364ff, 0x1529aead, 0x6d7f2eb5, 0x434afa95, 0x26956de2, 0xf29784ee, 0xbda201d4, 0x5ccdc5c6,
+    0xae6776f1, 0xa6823098, 0x38d0e7d1, 0x369ab879, 0xe3a5a974, 0xe3debc23, 0xdf7f87eb, 0x82dd9119,
+    0x36fb7371, 0xf8d91f9d, 0xf9b94d40, 0x84a72b6e, 0x915ea9f6, 0x68212107, 0x2985d5d9, 0x5ab9a68f,
+    0xd2713000, 0x3f01b1d5, 0xcc0773b0, 0x02b96e07, 0xf6559889, 0xa62049e3, 0x62e70c45, 0x4c229510,
+    0x9315319a, 0x90ab07dc, 0x863adfae, 0xe7005937, 0xcaf6cf36, 0x08fb15f8, 0x464ad187, 0xd2c066b5,
+    0xac83de05, 0x35917986, 0x9ad310cd, 0x67cae3b6, 0x875c7ca1, 0x6861bf8c, 0xe11484bb, 0x720afe0c,
+    0xa1c21f8d, 0x80b1222b, 0xa21006b5, 0xa6ba9961, 0x42ab76d7, 0x74962dc6, 0xf24b2975, 0x8c8024e9,
+    0x50f8e357, 0xd5b956c5, 0xa4d99403, 0x5381e055, 0x579aff5e, 0x27447992, 0xc057ee1c, 0x8611aca2,
+    0xf6d65228, 0xd229fce5, 0x320bbbe7, 0x8e4a7a7a, 0x45576302, 0x3183ef74, 0x2d952fba, 0x07c30f33,
+    0xf25b8185, 0x78411e20, 0xeec4c6c5, 0x4f950078, 0x565f1fe5, 0xd4fd0370, 0x19ed4bd4, 0x51306c95,
+    0xda2f8ae2, 0xe927b169, 0x3031f395, 0xe218629d, 0x70e8e069, 0x52aa5277, 0x69247a75, 0x7ee5f20c,
+    0x69bb6337, 0x62e1450e, 0x0326cc0a, 0x10154acc, 0x78b42f45, 0xb9ed9d78, 0x05b65b98, 0x3422de18,
+    0x68176021, 0x243a1b3b, 0x658e2d1d, 0x2e125b19, 0x428110b9, 0xaf818b19, 0xb71abaf5, 0xa0e39407,
+    0x7e98386a, 0xccca800a, 0xeb15d261, 0x122b40fe, 0xb8e22fa4, 0x8f8c033a, 0x005f9585, 0xebb3d882,
+    0xfd5226e5, 0x8d8e5f58, 0xaab2a0fd, 0xabf60db0, 0x70ab50a8, 0x10437a74, 0xe91bb133, 0xbb922a64,
+    0xb35aa8c3, 0xd9b9230c, 0x740096b4, 0x6716f291, 0x4000e030, 0x6d99bea2, 0x66846ed2, 0x9f8caef1,
+    0xf527bc94, 0x46e8296e, 0x1683ea9d, 0x376a063c, 0xc6ccf759, 0x083789e7, 0x15fa5100, 0x7d4f781b,
+    0x039d8b5d, 0x11dcf98b, 0xd5b37fee, 0xbed40042, 0x9cf39187, 0x751a9760, 0x6e81d7b2, 0x46f87c8c,
+    0x647eee89, 0xd9c33ad6, 0xf3f898c9, 0x9bee7d15, 0xffa1b4c6, 0x8edad0b1, 0xd0610512, 0x88e52098,
+    0x297423d4, 0xdc5714dd, 0x437f7e8e, 0xdcc8ebd5, 0x08c72d15, 0x998f1278, 0x7ffbbc86, 0x4db7cb05,
+    0xa30b254b, 0xc072b618, 0x2bf4a1a6, 0x4199b3aa, 0x50bfab32, 0xf73827e0, 0x1c33ede3, 0xc70933f1,
+    0xb99fac46, 0xa5c054b2, 0x9cae90fa, 0x8320e521, 0x0a7052a4, 0x6f5b4d43, 0xad8e916d, 0xc58fd1be,
+    0xe214fc2f, 0x11434806, 0x9187c275, 0x6fd248ae, 0x95ad2979, 0x341b174b, 0xcd620cef, 0x8b9fbf05,
+    0x1e59d688, 0x0b5842c9, 0xc4d469ca, 0x4fda510e, 0xaf08a38f, 0x0f1cef77, 0x156ae96a, 0x36c9479a,
+    0xa23b36ba, 0x820011db, 0x952f5482, 0x7b84a68a, 0x7a11eb73, 0x9d127459, 0xfb809fe0, 0xf82a3482,
+    0xc0679c69, 0x14ddfc10, 0xcc0a9813, 0x68216aeb, 0xa77bd3b6, 0xf58ce43e, 0x6609f7ca, 0x22f25c27,
+    0x020ded81, 0xebb6f153, 0x8301b6e9, 0xbeff32a8, 0xf9b55870, 0x28f80a3c, 0x50fa1e60, 0xa275848c,
+    0x3a624ba9, 0x53f44fc1, 0xd0c3420f, 0xba785f46, 0xc731c763, 0xbb39544a, 0x06175646, 0x1655c7b8,
+    0x424e348e, 0x28c143c8, 0xd568a172, 0xbac072a6, 0xe17fd0c5, 0x7008198f, 0x5795ce0b, 0x3e1b5ce6,
+    0x317c614e, 0xbabfef30, 0x7fd2ef63, 0x8a94c7a2, 0x4c578879, 0x344d25ca, 0x725e1354, 0x69206dd7,
+    0x52509010, 0x78212622, 0x42673413, 0x9d93e186, 0xa809d8e8, 0x0b0daa74, 0x5bcf30d7, 0x7a51011d,
+    0xee81a6af, 0xee395774, 0xbd942eb1, 0x34107420, 0x9b1851ae, 0x0686daf7, 0x9fab59c8, 0x85a7c59f,
+    0x7782d89e, 0x0e1c12ba, 0x73058c00, 0xd6806019, 0x2fe84353, 0x7aac7f20, 0x7894bf83, 0xbae06166,
+    0xe8e81baa, 0xe4461a33, 0x24cd6797, 0x85c12120, 0x068f9fa5, 0xa5a0d6ab, 0x536d3129, 0x6256c3ab,
+    0x9c9cfa49, 0x3b591433, 0xa1dfd1b1, 0xee69859d, 0x08d4c87e, 0x3978a6d5, 0x949d28d8, 0xe140f77e,
+    0xcf612698, 0x76596050, 0x57c0fe83, 0x28bc24e2, 0x79328105, 0x6420c732, 0xe95f0cea, 0x1d04817c,
+    0x01dcd2fd, 0xe7d34e0f, 0xf2d5fa74, 0x5aa7f36c, 0x2b48e4f4, 0x1de648eb, 0x89aacaab, 0x9385c1fe,
+    0x4fa7c34d, 0x4e8320e6, 0x299d27be, 0x56bd4d40, 0x23667bbb, 0x414ca669, 0x1b560999, 0x02bf262a,
+    0xa4a006ce, 0x940b66c3, 0x5c2f328c, 0x777a6c42, 0x112fbdd4, 0x790e9978, 0xc4eff22b, 0xd98d84b3,
+    0xb1e52ad0, 0xb5bc9567, 0x6ee5adbe, 0x4a51a39a, 0x38816bbe, 0x38c36ab0, 0xdcf73dd2, 0x6bb30e8d,
+    0xa31ff19e, 0x87456674, 0x69e6bc5e, 0x8b112ceb, 0x25daf588, 0xff19f289, 0x71501d8b, 0x7d48b150,
+    0xe1bffc53, 0xa34672ba, 0x07bfb069, 0x32ce2be3, 0x283b5f22, 0x3749860d, 0xa740841f, 0x3e2b97e7,
+    0x5dcc601c, 0x4d2c816b, 0x0b386296, 0xb6c63fcd, 0x92218f95, 0x84927b42, 0x0ca88378, 0x4c55a4fa,
+    0xfc5429ba, 0xbbb524d5, 0x2a720958, 0xe8b14666, 0x53e68fb7, 0x5b0b3515, 0x11b56cb3, 0x696921a6,
+    0xcaec527e, 0x4f424bba, 0xcd096eec, 0x69ec79d2, 0x02ff7452, 0x9d867c0f, 0x261eb4a5, 0xf6846620,
+    0x83713431, 0x97bd6f06, 0x06faaa61, 0x2f621c77, 0x7db31e56, 0x9608ff91, 0xb5146dce, 0x52e50780,
+    0x976a1dad, 0x9e5144fe, 0x7e802d6e, 0x136aa689, 0xbd626910, 0xed42168d, 0x3d19ed46, 0x8e35d8c6,
+    0x8c0348e4, 0xc352cdcf, 0xda747520, 0x57b79c9d, 0x92c84f4d, 0x29bf1ee2, 0xfe246e6a, 0x21631ea1,
+    0x5fd66b0a, 0xf7c36e7d, 0x60d43276, 0xea18fef7, 0x1fc10732, 0x6c665ada, 0x98e408e5, 0x66b73d43,
+    0x56a0f61c, 0x4d611eaf, 0x68e5a4d7, 0x4bce875e, 0x2d70acc3, 0xc1544824, 0xda5d59df, 0x15a2a515,
+    0xa20265b4, 0x9555733f, 0xd6d13cac, 0xc0f0bd19, 0xb95f8cee, 0x3654b53c, 0x2ce88ef7, 0xa5a25e8f,
+    0xaac976ed, 0x74fad9cc, 0x11d83d21, 0x330c3f52, 0x4b931aba, 0x4c1e8e1e, 0xd6a706b0, 0x2650bd70,
+    0xd5d3e9af, 0x76468c2c, 0x91f69164, 0x24ea3dcd, 0x69c05ea3, 0xd107db17, 0x6127e5f2, 0x2f427302,
+    0xa711737d, 0x4b693293, 0xf9db96ba, 0x730832ca, 0xe8b6b233, 0xb00ad44c, 0xcb97be1a, 0x816a32c8,
+    0xa73d66d6, 0x85549043, 0x70421679, 0x5998519b, 0xd7dbbf8e, 0x2d20ffae, 0x94dff62a, 0x271ceea4,
+    0x4bc26068, 0x16ad2431, 0x973dc1ab, 0x244a064c, 0x57850eb9, 0xdb31e46a, 0x3092e8d9, 0xbd1b50f9,
+    0xb9e169dc, 0x87d2180a, 0x20f862d0, 0x65de2639, 0x8b7bbbe9, 0xe8faacfc, 0xdd314550, 0x945c4a80,
+    0x5e500a50, 0xed421a31, 0x3d15f21f, 0x8bfc2779, 0x76b3a4f2, 0x27bd6bfc, 0x75e63396, 0x5d490ba4,
+    0x0b52ef95, 0x6d075bc6, 0x5c719312, 0x103b32df, 0x9e52ad15, 0xf08caa69, 0xa3c3aa38, 0xefb90375,
+    0x90c19e0d, 0x2c11b0aa, 0xa400f757, 0x2a1c5fc4, 0xbe77f010, 0xc8b300f4, 0x7cff79fb, 0x85cc6aff,
+    0x2c183b02, 0x94352f57, 0xc075e16e, 0xfb307f4c, 0xb8698d9f, 0x2a99c3bc, 0x801b1d6a, 0xdcf36ade,
+    0xc06f9c25, 0xb9d38f78, 0xd2fc236f, 0xff646899, 0x923babe9, 0xb0cfc587, 0xf4cb94e3, 0x1946e349,
+    0x02f76b09, 0xc89bc2e8, 0x5acd8e38, 0x192865ab, 0x4d092436, 0x3d5f2737, 0x8b4f3930, 0x74f94945,
+    0x1c110842, 0xdbbf533e, 0x4249dfb4, 0x65eebc62, 0x24983684, 0x1ad09ad1, 0x5ace76f4, 0xbd463d4f,
+    0xc27d209f, 0xe859a129, 0x7e4da972, 0x01dba296, 0x1575c998, 0x8dc30f91, 0x7d64138f, 0x717edd44,
+    0x83d428c5, 0x0506792b, 0x2c99d828, 0x20a1745e, 0x5fa9f788, 0xf17cdc1f, 0x3aaad945, 0xdb472d96,
+    0xe24253ca, 0xd7ea3023, 0x38347777, 0xc4010a07, 0xb83a0f49, 0xcb726ac4, 0x7ef75122, 0x4455a687,
+    0x6496677e, 0x644dfed7, 0xbf64e8fe, 0x3c747e47, 0xe57354e2, 0x6e211131, 0x2aa59986, 0xd686c32d,
+    0x201e2682, 0xf96af52a, 0xd0bcab8e, 0xdd8c6f40, 0x349367c8, 0xd3f838f6, 0xf9f34359, 0xd8b09beb,
+    0x864d79e9, 0x72614ca7, 0xf0b69b49, 0xe4bc552d, 0x6e24fd7a, 0x7cb26910, 0xa3f9946e, 0xcec81d6b,
+    0xd8bcd793, 0x6d380cba, 0x0d3d4dc3, 0x3848824b, 0xb8ebd694, 0xb7e8f89d, 0x164dba79, 0x9cf32abf,
+    0x4de81923, 0x8232dc35, 0xf7fcd538, 0x6c886888, 0x07516483, 0x27c75d8b, 0x2100d9b9, 0x3ea75be7,
+    0xbfae4ec0, 0x476170e8, 0xfde23313, 0x12343daa, 0xd047a179, 0x40e0ee0c, 0xf49a12a5, 0x9507e6e1,
+    0x9db33da3, 0xbfa9a076, 0xb0d4d0fb, 0x17c59699, 0x23613be7, 0x17f36a03, 0xd5bd7d0f, 0x20bd748a,
+    0xba225ee6, 0x5f7a0098, 0x2dbdc41f, 0x9a51f35f, 0xfd7275db, 0xaf6832bb, 0x594b19bc, 0xc7a79fe2,
+    0x862d1976, 0xb3627a5d, 0xfef8b64e, 0xff14a72a, 0x27a77fd3, 0x736a2a44, 0xe5a09a00, 0xdc8cd4b6,
+    0xbc44c983, 0xdde5d910, 0xf6bc65bc, 0x5ffa55ba, 0xbc60a527, 0x983199f9, 0x044410d9, 0xd138baf2,
+    0xbb92afa9, 0x1cc732ad, 0xbe3715d6, 0x31080129, 0x787ce7e4, 0xb3162f2e, 0x192712c4, 0xa38db134,
+    0xaa87539e, 0xd120b0f4, 0xb146b141, 0x074ba9c5, 0x628e1767, 0xdc76d442, 0x0cecdc9a, 0xe7d621cd,
+    0xfe28b747, 0x9e168753, 0xe8d33b59, 0x6b8bb12d, 0xb96cc070, 0xd15ba667, 0xd84c2152, 0x380a0480,
+    0x705e4e70, 0xc3aa05c1, 0xfb93ce24, 0x978c626d, 0x8e8eea9d, 0x8c875ff3, 0xaa59503b, 0xea9b3c9e,
+    0x9cb09964, 0x343ab923, 0xcc6f2380, 0x7a8bb0f6, 0xfb0389e2, 0x1ef34731, 0x2c4491ad, 0x0bd5e8d4,
+    0x490a372c, 0x59baa768, 0xa34f0874, 0x8b994ce1, 0x94514021, 0x738c2951, 0xb8afe512, 0xcc0ff137,
+    0xe75faa02, 0xc5052fe0, 0x9347b468, 0x5b1c14ed, 0x542c9543, 0xabbc0ae0, 0xda4ee7c6, 0xb28f4b1c,
+    0x00000000,
+    0x2714bd09, 0x7076d055, 0x588ab831, 0xbe66bc08, 0xdf461e98, 0x5b9254df, 0x721314ac, 0xc9a4ea80,
+    0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000024626253872746549507674400062589758628\
+                          17483704404090416746768337765357610718575663213391640930307227550414249394176 */
+  { 0x00000000,
+    0xc64d51ed, 0x098a1cc9, 0x8c20ec1f, 0x49db5e7f, 0xa294c08d, 0xa70125b0, 0x8245863e, 0xc5f47553,
+    0xe5ae0a36, 0x145b2cd1, 0xa65291b1, 0x851441ba, 0xae271d5b, 0x0752c723, 0xdac32548, 0x0f353421,
+    0xad85f22d, 0x737612cd, 0xa33fa88e, 0x8ddd3ab7, 0x11f88b10, 0xede38345, 0xb2704b94, 0x3af7be54,
+    0xe7a60984, 0xbebaa948, 0xf6559a2f, 0xaf006213, 0x0bdb1a28, 0x18fd2755, 0x2b02ae1c, 0x756306f5,
+    0x54654b94, 0xaefadc23, 0xffc5b6ef, 0x39e44560, 0xf27ce45b, 0x8c3aef7e, 0x6f065d92, 0x9d74b1f7,
+    0xa4a12b7f, 0xd42082c5, 0xc51b7a22, 0x4f4427a2, 0x81520b86, 0xeb84d938, 0x3c37657b, 0xe1ee4c82,
+    0x2e125af1, 0xc222ac06, 0x8f52ff4a, 0xa4bf1eca, 0x6c45a66a, 0xa0b17ba0, 0xf4db51e7, 0x4e4343b9,
+    0x304fb5c2, 0xb5279e93, 0x212dbaf6, 0x5f2e2db5, 0x88a6a28e, 0xe9fc2bfd, 0x5df01702, 0x11f8a0ee,
+    0x5f577023, 0xf72c1f12, 0x3eda5670, 0x0836116c, 0xf063b330, 0x037fdf5e, 0x38bd0448, 0xaf877adf,
+    0xb398da7e, 0xb5b2478d, 0xef36ee09, 0x2a57897d, 0xb522cc92, 0x3e5f1ee1, 0xd91b19bd, 0xe00b3c13,
+    0xa2e5e6a1, 0xad16594b, 0xe3685733, 0x63c7baf2, 0x6c055d4d, 0x7fba261b, 0x686049f9, 0x62ebd5dd,
+    0x237d5373, 0xfe594e2e, 0x050245cb, 0x38a5e2d1, 0x07a7f2e8, 0xd27b59f4, 0x09e9d366, 0xaebc9707,
+    0x015ef830, 0x6e3cb8bf, 0xe5b4286a, 0xe3cca33b, 0xa15b6ee1, 0xe88bd8b6, 0x5c60c3f6, 0x321dc314,
+    0x5aa7ff65, 0xba5dc06c, 0x8aa7d743, 0xae38954e, 0xf2d02bb9, 0x805bbcb4, 0x29714269, 0xc1e4dceb,
+    0xed3cd161, 0x5eeecf9f, 0x04cbda03, 0x5c903cd4, 0x9a91bb0a, 0xb10d7894, 0x45079170, 0xe82fbc9d,
+    0xae34a361, 0x46a260a6, 0xe2476156, 0x650082ca, 0xcaad10a4, 0xcc355e10, 0xc44f4e58, 0xfe9013fc,
+    0x4253253c, 0x0b9d2268, 0xc1c79fbd, 0x73040461, 0x627f5d95, 0x3f7aca38, 0x23841656, 0xbe475700,
+    0x55bd45a0, 0x0e65b05a, 0xc6455509, 0xc827d300, 0x2ba370ea, 0x397d1150, 0x05b9500b, 0x9bd5fdaf,
+    0x714b639a, 0x785950ec, 0xae9bf492, 0x9561a8bd, 0xed66ac26, 0xf6cc53d8, 0x446627be, 0xe797e9c3,
+    0x6681d987, 0xda43d512, 0xa7331574, 0x40fc4cf6, 0x14a89e5b, 0x598bf149, 0xe25cb557, 0x6676efb3,
+    0xfc6e7792, 0x9eb2cd70, 0xede436c6, 0x489984fb, 0x51f2d75e, 0x76af29bd, 0xe3ca1cb1, 0x16c32bcf,
+    0x8722dfe1, 0x1ec5de96, 0x9be4829c, 0x3c05692a, 0xa47009d2, 0x7ff18fc0, 0x09607629, 0xa8665d31,
+    0x47aacd39, 0x09a931a7, 0xae80ece5, 0xfa89d573, 0xb557d765, 0xb308aea7, 0xc11313e9, 0x64530c0b,
+    0xfa44788c, 0xd20c7f46, 0x04d13047, 0x89ed775b, 0x394216a8, 0x0d840f1b, 0x48d970d0, 0xeeef1a56,
+    0xf94e62ac, 0xf75916ee, 0x9bd6bc40, 0xed3423dd, 0xda70bdd7, 0xfcc25377, 0xe90a9f8e, 0x015b515a,
+    0x8701f6f6, 0xa951722d, 0xa7327042, 0x8475c1eb, 0xb34d1c24, 0xe16aa678, 0x0b2651ea, 0xe071a155,
+    0x7b1f14ee, 0x1a0d63a8, 0xc18d639b, 0x2b09c8b2, 0xce4e5ec8, 0xeacde0d7, 0x9dc78746, 0x89447ee1,
+    0x6fc5b0d2, 0xdd11b69e, 0x02fb90f0, 0x3cac4fcf, 0x9a9edc44, 0xc6e04f47, 0x5cdef8fd, 0x2decb9a5,
+    0x6dde25e2, 0xe40fbc19, 0x2a904ac9, 0xc56e6033, 0xb3faae1a, 0x310b9884, 0x6abb7c49, 0x4e0f526a,
+    0x896bef20, 0x5fdd3203, 0x15f1a4da, 0x0e80f797, 0xf633a3a4, 0x7494d854, 0xf30b4d5d, 0x73157cf3,
+    0x8733cd7d, 0x892dc71f, 0x5df28f9c, 0x5fa014a7, 0x4e5569eb, 0x2bfbf41a, 0x2e066f5d, 0x5fe240c8,
+    0x957bb4d2, 0x924a7117, 0x30f8841e, 0x099633bc, 0x3ccece3a, 0xb7312fa6, 0x32c7c951, 0x4ba9c241,
+    0x62c0dd7c, 0x8ceb4eaa, 0x90cc6dff, 0xcdad2c08, 0x84d3ec92, 0x19ff4f75, 0x3c1892a7, 0xd334b404,
+    0xb3534e6d, 0x760dc1e2, 0x765f8db6, 0x0a980300, 0xd421f892, 0x1fe2e2ce, 0x9ac16917, 0xd6ea90b3,
+    0x1d5ceeae, 0xa25592f5, 0xa795266c, 0x589793e7, 0xafd75a57, 0x1ce3205d, 0x78bc63e2, 0xfac78eb0,
+    0x070b7cb6, 0x6f57c9a0, 0xdafb6ebb, 0x9a9f8f43, 0x915fe6d6, 0xf1037a93, 0x2e17922b, 0x818e8a1a,
+    0x119f64d1, 0xf2cd2b86, 0x53488cb0, 0x8abb68eb, 0x9c83b65d, 0x400ee324, 0xc567c136, 0x75e1797c,
+    0x90039581, 0x383b4792, 0xcfc7165b, 0x2aa33e66, 0x591e0e6f, 0x673f7416, 0x86790d56, 0xae3e740d,
+    0xfba40d09, 0x7a110cb0, 0xd3b4608d, 0x8eb56ced, 0xa423366b, 0x3785592d, 0x45d303f9, 0xfa0da8b3,
+    0x1201081d, 0x614831a7, 0x934da4c1, 0x4f54e8fc, 0xa051e098, 0x69721f21, 0x7d5a240d, 0x406fb43e,
+    0xc23a308d, 0x45ffb237, 0xe722b814, 0x81b11c4b, 0x268699cd, 0x33855764, 0x60ca8c72, 0xd06aa6d4,
+    0xe7aec91d, 0x97d310c8, 0x47a49471, 0xb28ecd90, 0xb37e1dbb, 0x989229d3, 0xdb418072, 0x81de7074,
+    0x2c075138, 0x32bca72f, 0x487a68d1, 0xd3a6ce57, 0x55a303f2, 0xfd520b4d, 0x1d03bba7, 0xe9fc4e79,
+    0x1eb05e36, 0x9df874f5, 0x8bd3d17a, 0x524bee71, 0x7d989036, 0x208c4d20, 0xfb0c5552, 0xd504bd87,
+    0x07329770, 0xeae148f9, 0x1316da0a, 0x150fcc57, 0x81dfc76f, 0x90645745, 0x174c519e, 0xabbbe22f,
+    0x13b1507e, 0x08222d00, 0x4463d2c3, 0xc1a7eb30, 0x3b108517, 0x83648727, 0x2137e9ca, 0x5e69fce1,
+    0xa464bfd4, 0x5d9a53eb, 0x488bba73, 0xf8ee9bb0, 0x1c5ff1b9, 0xe730ef08, 0x4801a97b, 0x9b371f9e,
+    0x82c37574, 0xafe7d3bf, 0xb9a73c10, 0xc7ed3b61, 0x4ff5ba14, 0xec5e7917, 0xd086fa7c, 0x955b9b8f,
+    0x8f24500a, 0x007448e6, 0x03bf5295, 0xaaecff6a, 0x95d5a373, 0x3c9e059c, 0x2947a09f, 0x2d5a2526,
+    0x399f164f, 0x6480ed22, 0x035d115f, 0xb3edebcd, 0xd5e5e3b2, 0x1bef2e2b, 0xae25a095, 0xddab7dcf,
+    0x193da1cd, 0x144e2e65, 0x4297d7d5, 0x9c755d27, 0xa89b9830, 0xd9ee824e, 0x6be19d14, 0x8fcd0071,
+    0xe39e6a56, 0x41f6cfdd, 0xe8229d75, 0x2ce8879f, 0x8331196b, 0x9f778bac, 0x879e94fb, 0x3f68b0a2,
+    0x70129326, 0x77157362, 0x9d3c70b0, 0xd719cab7, 0x15cea76c, 0x87f7e727, 0xc0461c47, 0xb1f8d29d,
+    0xd286501b, 0xd0881135, 0xd764a641, 0x65930742, 0x1dab548c, 0x674ec8b9, 0xaf2d0e73, 0x138be7a9,
+    0x839b00c2, 0xef30a38f, 0xf443ec62, 0x1383d714, 0x3e6a5f40, 0x7102bd10, 0x4d18772a, 0xefd16d22,
+    0x60456e1a, 0xf468a707, 0x2bde0619, 0x8e004581, 0x447f4b8d, 0x70efaeb3, 0xac159bf6, 0x8b31de7f,
+    0xa26e65ba, 0xc31ec816, 0xc70e7074, 0x0b89f286, 0x33445882, 0x617d00bd, 0x7a0eec83, 0x71154c07,
+    0x0deee139, 0xb1e9667c, 0xa816b3a7, 0x742cd182, 0x7d056fbe, 0x940063ef, 0xd7d8b570, 0xbff5a191,
+    0xe285cb44, 0x2cdd3d85, 0xabecdb8d, 0x25c8701f, 0xcdbaa273, 0x42918417, 0xe19c8723, 0xa6d7e80d,
+    0x489e07b8, 0x48710bee, 0x183793b8, 0x26ca172b, 0x3241e172, 0x648c6f83, 0x97991c0e, 0xf31b0616,
+    0x5b73dcae, 0x78a81002, 0x2151a227, 0x62bc1754, 0xf3fb6b9b, 0x40138823, 0xbdf01cab, 0x26fe6c32,
+    0x0f4ecc1f, 0x9e20d57b, 0x89262cc0, 0x6b137943, 0xb3b9b2d3, 0x6819ab49, 0xe98f75e8, 0xe9124c56,
+    0x6ccdac0b, 0xcbf0014d, 0x80ec4151, 0xd2d01a40, 0xce4bfddd, 0x1cff5791, 0x1d20161e, 0xe9534173,
+    0xa88f70c7, 0x171ebef8, 0xca24e5fe, 0xaf3c081a, 0xe2f1a2ff, 0x882c306a, 0x6987f9dd, 0xbb072eb4,
+    0x5e76d08d, 0x0980de7a, 0xeccc2ee6, 0xfc299c68, 0xd8f41489, 0xd7acacaf, 0xcc3df2b2, 0x9523379e,
+    0x9c81aeda, 0x5abe80b8, 0x6c3824ba, 0x0ece7805, 0x478fd0d3, 0x1a29f62c, 0x6d824d7a, 0x99a0f438,
+    0x3a21f34b, 0x86785ba4, 0x8e377a47, 0xa001e26d, 0xad2a2eeb, 0x696107aa, 0xbbe99a76, 0x3e7f7ded,
+    0x5d130397, 0xeab18314, 0x8f37ae9c, 0xe60d1ad2, 0xf0179b87, 0xe156480a, 0xdecc676c, 0x11608ecb,
+    0x44ebc161, 0x0d816e9b, 0xa76f845b, 0xbbd78757, 0xa1a8d941, 0x6c7a8a2a, 0x32e82e58, 0x1c62a693,
+    0xdbc1ebea, 0x74927dfe, 0xba2b8591, 0xcd79d585, 0xa2c48c1e, 0x53ee857e, 0xd06ece63, 0xf47f2f32,
+    0x417b709a, 0x6792ec3b, 0x7d73d185, 0x311de0bc, 0x5e9ffc4a, 0x8b408eb7, 0xc83722ce, 0x2e1e4d54,
+    0xe3969149, 0x9a875dee, 0x8512f394, 0x7f3e4247, 0x5753f131, 0x9ee3fa83, 0x9e2caa60, 0xdf67218c,
+    0xfbdeefe8, 0xf0815735, 0xf962a8ed, 0x34f00ef3, 0x3cef50ac, 0x4a5f72cd, 0x15a13450, 0x736e1c1c,
+    0xb68eac56, 0xd5245140, 0x886bc061, 0xf3993ac2, 0x48c19868, 0x53fbe7f1, 0x89a8c920, 0x9ec8c999,
+    0x11f854bb, 0xa9e4cbd8, 0x431984aa, 0xa12af529, 0x4657c2a1, 0xf908d701, 0x58956b42, 0x0ebeb25e,
+    0xdf698753, 0x633ffbe9, 0xf0408767, 0x0cd64eba, 0x64fbd0cc, 0xaf7b5820, 0x3958389a, 0xbd1dcae1,
+    0x0755bf0e, 0xff29ae09, 0x747fb654, 0xe1fde695, 0xeab4b7d1, 0x5d660890, 0x38d8904b, 0xf4260735,
+    0x4617f530, 0xb3c564c6, 0xabfea0ee, 0x6061f623, 0x69130fbe, 0x15cd7e22, 0xed17a0ec, 0x63039841,
+    0xaa413c13, 0x1d387641, 0x51a7dfe2, 0x2a1ac311, 0x20c185c0, 0xe989627f, 0xb046e7d9, 0xdaaa2e40,
+    0xe66b35c6, 0xa074fcb7, 0x8645f78e, 0xca8bb29c, 0x11dd0eee, 0xd8e95ea7, 0xb1be059a, 0xe877263c,
+    0x78784b73, 0xa613f3a2, 0xf1c3eb61, 0x7cbdcecd, 0x3b95691a, 0xd791c7bf, 0xdc1810ef, 0x9455eef1,
+    0x01fd4f02, 0x3cdc0696, 0xa7c2131c, 0x242a6338, 0x9218b3d6, 0xf933276e, 0x71d128f5, 0x41fc0c95,
+    0xa0258872, 0xe5531de5, 0x81f442b8, 0x00e3a007, 0x54b3aadd, 0xe807c174, 0x811858d5, 0x917be966,
+    0xa535cf63, 0xc51ce916, 0xf6db704c, 0x94783032, 0x0a2f017d, 0xda7681a0, 0x570dcecb, 0x77a94233,
+    0xc635ea0d, 0xb18f3ab6, 0x6b8e08a7, 0x0fd8964b, 0x9b7a0712, 0x3e80fd7f, 0x46ba22b6, 0x7ea34063,
+    0x6fbc9ee7, 0xa74d3145, 0x43a8015e, 0x85831700, 0x86c88359, 0x76947c11, 0x4662e65c, 0xac8d179e,
+    0xeac78b59, 0xb9e05990, 0x37e534da, 0x6b7830cc, 0x6016480b, 0x5b075035, 0x16bbb088, 0x51a26b86,
+    0x92aaeb83, 0xbfee867e, 0xf290eb7c, 0xd1f65706, 0xcb3c674c, 0x6e6ce8f4, 0x4fc6b32c, 0xe7675010,
+    0x2efe3d5d, 0x34030e72, 0x51549588, 0xddf70377, 0x631dcbed, 0x43df2a4f, 0xfbf0604a, 0xd03a1ad9,
+    0x563d9898, 0x27fd0b0c, 0x7c09dbcc, 0x7860e5ca, 0x4a806d4a, 0x74bd7402, 0x294f68b2, 0xb46ac4dd,
+    0xf9b0e939, 0x528d1f56, 0xd01be67a, 0x6a46d14a, 0x9704de4b, 0xb6dcc6c6, 0xeb0e97e6, 0x13be9319,
+    0x831965ec, 0x371585fd, 0xa8722d38, 0x37fc164d, 0x05cfd5ad, 0xa366f073, 0x2147bbb8, 0x47b8286c,
+    0x14aa4c87, 0xaec52606, 0x482a6d30, 0x7742720b, 0x7df1cccf, 0xac8f5df6, 0x52356431, 0x18b91eee,
+    0xb88e0716, 0xff2d2da0, 0x8c30662d, 0x2f3ec9a0, 0x701fb6d5, 0xd7890b09, 0x9bad087a, 0xce29130a,
+    0x66f22cb7, 0xf13dc9a9, 0x87053c25, 0x67592c1e, 0x51fa3436, 0x0971519b, 0xb0c719f0, 0x90200fba,
+    0x89dcbe63, 0x9c454740, 0x1ab449a2, 0xfc19be16, 0x6a199e39, 0x28548edc, 0x6a82693a, 0x8bf72257,
+    0x62d21475, 0x769195ed, 0x073b251a, 0xd2cba0ca, 0x90d638f5, 0x1733a690, 0xf8b1bb4c, 0x6b91af0e,
+    0x52c584da, 0xa0be3200, 0x9e422fe3, 0xe0d8d7a6, 0x424298d7, 0x16779bdc, 0x4e63f09e, 0xc368177a,
+    0x4292adbe, 0xec2aa931, 0x7d755dd4, 0xb86c65ed, 0xec45e802, 0xb693156f, 0x0682159a, 0x631ed31c,
+    0x3a617b37, 0x1af2e616, 0x7176b068, 0x1ebe5854, 0x70c497b6, 0x3a066513, 0x15e7f821, 0x83ee8f4b,
+    0x0f08cea2, 0xe9443fa1, 0xef3a73d4, 0x208adba6, 0xcdb53399, 0xcec1be58, 0xb4596653, 0x51b145f5,
+    0xbd568b9b, 0x62740045, 0x3cce07b1, 0x35e8997a, 0x54457ac4, 0xc5343581, 0x681b2199, 0x76306f22,
+    0xb2050a9c, 0xbdc18e09, 0xbdad4349, 0xe9ee1580, 0x4680a6e9, 0x65640b4d, 0x8f1dba30, 0x8fe1ae3c,
+    0x62c7dac2, 0x99db05fe, 0xa6518bde, 0x93f0a97d, 0x219dc863, 0xb13bb3a3, 0x606351ea, 0x33d9ef43,
+    0xd39c4650, 0x383050db, 0x5892ab8b, 0x84d28fed, 0x5b20de7a, 0x900e988e, 0x5d981330, 0xe230f7ad,
+    0x1106007d, 0xf44dd8d6, 0x7ff4eff4, 0xd9517501, 0x146c6e18, 0x3310f9bf, 0xb71c1e88, 0x42c53a9c,
+    0xae2bffb0, 0xbb2c27aa, 0xc0a050d8, 0x82ef7fe3, 0xcbac99a2, 0xaf7db029, 0x48835add, 0x9f4eb5db,
+    0x019d313f, 0xb40c1329, 0xf6ae3b98, 0xf22bbbe1, 0xa3be21ba, 0x32311484, 0xc68d67e8, 0x98651c6e,
+    0xd7aa7cdf, 0x245f3550, 0x1baba395, 0x71cc0c87, 0x2169edce, 0xc3d935cb, 0xffc227e0, 0xc61b13c1,
+    0x9905b85e, 0xf2e02d7f, 0xe868fc1e, 0x5b24f9af, 0x4ba2fbde, 0x976d7114, 0x5abe6591, 0x6ae93841,
+    0x32a8b0a5, 0xa164ae3c, 0xdddc242e, 0xa052b31e, 0xd145d51e, 0xd67fcae9, 0x4afeafda, 0x78bc20f8,
+    0x03cff531, 0x58761b02, 0xc33e0553, 0x2c522019, 0x2faa6586, 0x14374ed0, 0x698ac5d5, 0xd9dc2315,
+    0x93f214b0, 0x47399567, 0xeb8ea27b, 0x27aa432f, 0xeced7c05, 0xfa037054, 0xd3ea1ce4, 0x8a3d609f,
+    0xfbd632b5, 0x92962e62, 0x3483731c, 0x3f594e1c, 0x57e505ab, 0x783b9647, 0x41effcfd, 0xe4fcb7cf,
+    0xee036e40, 0x71911421, 0x6f6fb9bf, 0x3a9d5445, 0x4cc58d50, 0x40245554, 0xa4cc80a6, 0x1ee54fc8,
+    0x23ae439e, 0xc5406b9c, 0xe6663d0c, 0x94f650af, 0x38b6e109, 0x5a528b77, 0x8d59ceba, 0x2c796493,
+    0x8c3889ab, 0xf1e2ccfa, 0x3559c52a, 0x6bb3e638, 0x00b4564c, 0xeb0b7f5b, 0x6ccee9e8, 0xf0423439,
+    0x97770cf8, 0xb861ba3a, 0x9c10c4a0, 0x61d557c0, 0x29545392, 0x8363a2d7, 0x70d1ae77, 0x80fe6a65,
+    0xc1bb3443, 0x5f964d0a, 0x1d1ae602, 0xee50b89b, 0x3d8b94af, 0xbf0783eb, 0xcad4ff52, 0x359ce031,
+    0x61cadd42, 0xbd1f3b31, 0x35069df7, 0x53c2c2c3, 0x0cb8c700, 0x5e7e96ab, 0xa80db494, 0xa8be1a3d,
+    0x139bdd6c, 0x6af6b7c4, 0xae50fe48, 0x9f1a8827, 0xc05f3842, 0x2525601e, 0x2ce97eb3, 0x87a6a71f,
+    0xe80bc97c, 0x6ae2dede, 0xb9f64d85, 0xffd66b76, 0x96769a28, 0xe8771a1f, 0x5a6327ed, 0x0dfe038a,
+    0xbac2fe36, 0x4bd52992, 0xac84c210, 0x31a17c1d, 0xf0bbddc4, 0xc42be6e4, 0x76c67a90, 0x741bdd5b,
+    0xe42bea76, 0x1f1c1992, 0xf3e766c4, 0x5ccd5faf, 0x1c23f01f, 0x9811c231, 0x02a8ce96, 0x819c9323,
+    0x4c801e37, 0x3d1d40a0, 0x41a83492, 0x6456268f, 0x162bf72d, 0x6ecf25eb, 0xc24d66b6, 0x9b7ce0a3,
+    0x322dad31, 0xf1296910, 0x12e6ca7b, 0x70371589, 0x3ca3268d, 0x9537d212, 0x93307f39, 0x972e4b99,
+    0x00000000,
+    0x938a5e84, 0xb83b682a, 0x2c455c18, 0x5f335e04, 0xefa30f4c, 0x2dc92a6f, 0x39098a56, 0x64d27540,
+    0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000012313126936373274753837200031294879314\
+                          08741852202045208373384168882678805359287831606695820465153613775207124697088 */
+  { 0x00000000,
+    0x68ed9c91, 0x4845a93b, 0x5fbc402b, 0x6e18fb77, 0xb638d559, 0x1d2a6ceb, 0x84360dbd, 0x63e60580,
+    0xd7f1ddc4, 0x68400dcd, 0xc9b99064, 0x24926441, 0x0c91292b, 0xd754a0c0, 0x0993352a, 0x2e95c273,
+    0xb36d90dd, 0xcea74fee, 0x5557ca37, 0x514a4c85, 0x0341e89a, 0x7c06354c, 0x797d749e, 0x75802bf4,
+    0x34c91485, 0x2e7ddc54, 0x18208a1f, 0xea1d8644, 0xc5557e52, 0xfce4b36c, 0xa93dec5b, 0x23240dad,
+    0xf40b6ff5, 0xc60fe274, 0xc20db769, 0x1ceff725, 0xedad1043, 0xfba253c2, 0x0c511195, 0xf3f10fc4,
+    0x3253bba4, 0x94993131, 0x5b0f9853, 0x4c4b826b, 0xcdffb564, 0xde53871f, 0x6b05dcce, 0xbd4130fb,
+    0xbb0b6426, 0xc677d375, 0x1850079b, 0xe562ef52, 0xc25a4ebe, 0xe1771f25, 0xaf8a40ad, 0xb3f45835,
+    0x72e89650, 0x4bb09175, 0x0de179c5, 0x2d76ed58, 0xe834d086, 0xcb86e836, 0x412f9163, 0x521659b8,
+    0xb990cadd, 0x47819be1, 0x70dcf0d2, 0xee75bade, 0x220b5b70, 0x17408862, 0xcfe237c9, 0x6eb439c4,
+    0x74f41f68, 0x2d91721c, 0x718eb93b, 0x88a7ec54, 0x3aef789c, 0xb9cdb53f, 0x0d4898c2, 0x66251e9f,
+    0x13e22606, 0xe2df191b, 0x54864b57, 0x5c300b28, 0x789527a4, 0x8fd5bbbb, 0x3d24752f, 0x81c48595,
+    0xeb8ba1bb, 0xc573df4a, 0x84c48a1f, 0x6e00fac7, 0x40f2c702, 0xd815a31f, 0x154d63bb, 0x96c55672,
+    0xb18fc0a4, 0x74098c5d, 0xae730977, 0x060a8124, 0x746cd347, 0x9844d23c, 0xacc7a06e, 0x9f714e4a,
+    0x2f76dc6d, 0x6b48b2fb, 0xf46fb4b0, 0x117be048, 0x2fb2cc14, 0xfe00df33, 0xaa969d27, 0x1697ac5a,
+    0xe6cab5c4, 0x806ee5bc, 0x624a468c, 0x161c4957, 0xb068c0f3, 0x8b3597c4, 0x8420f61f, 0x127293f5,
+    0xaf13fb43, 0x666bfc1d, 0x863805a9, 0xc68e1690, 0xc2efced0, 0x12f6fc30, 0xcfa8ab66, 0xa088173e,
+    0xfcd06172, 0xc6a9f3c6, 0x99bdf7f3, 0x56fac33f, 0xf73ece9d, 0xf231662c, 0xb84b7481, 0x3ef7a021,
+    0x53b5ad93, 0xdd06d1f6, 0x723c312a, 0x0d5cdc34, 0x15481425, 0x647d50da, 0xbb4b1c20, 0x39afacd7,
+    0xc05453af, 0x50ae150a, 0x8a8c99f2, 0xf8cf6a5f, 0xffdfcbfb, 0x17f02097, 0xb45fb8db, 0x0a53200b,
+    0x76923cab, 0x092852d1, 0xdf26de31, 0x430db3ce, 0x5cd78131, 0xa291e415, 0x187d4b3e, 0x4f915aa1,
+    0xc540c96c, 0xd2509553, 0x23cecf13, 0xfb906a87, 0x15bb983c, 0x54a60448, 0xd0fadb38, 0xeb1a20a3,
+    0x9090b6a9, 0xe0ec2086, 0x8a073bdf, 0x9a097aba, 0x48c924e3, 0x52ea1ec3, 0x36ce0129, 0xbba9adc1,
+    0x9260b7e3, 0x5912cd35, 0xe23a41ee, 0x2823943c, 0x31a6569a, 0x511b7a7a, 0xb5b409f2, 0xfe584327,
+    0xe22da373, 0x2c439278, 0x4d2943c4, 0x9ce511ba, 0x6a78a4a4, 0x45f3a5b7, 0x82fe4548, 0x5314022e,
+    0xf900bc4b, 0xe751efd1, 0x6ea97adb, 0x1822405c, 0xc97bb7c0, 0x3a0a2430, 0x5bcc16f0, 0x9f4ea1f1,
+    0x0593174b, 0xd818dcea, 0xd2b2322a, 0xb922defc, 0x14480aba, 0x24601b98, 0x1cc41943, 0x6b951106,
+    0xe0c3b274, 0x3500d4e7, 0x249c4ce2, 0x5d2a436e, 0x2ca103cc, 0xb972748a, 0x55f151a5, 0xd37ac767,
+    0xd378cb89, 0x9ba15987, 0x5ce8cf63, 0x003c149c, 0xc745d494, 0x1a8371c9, 0x63ac17da, 0xd3a41bb9,
+    0xcd48ad22, 0x4af8c94b, 0x490b9cd2, 0xf6f69782, 0x1ffb2787, 0x688564d6, 0xd4d52750, 0x32370d1e,
+    0x57b82daa, 0x2183b77d, 0x3e282ce6, 0x4c6ee399, 0x6d133f13, 0x662a767a, 0xb060921e, 0x183bb034,
+    0x4e0fa3ee, 0x76c86035, 0x0e94dc52, 0xd0d4adc0, 0x6a24187a, 0x6738df15, 0x7309196d, 0x78498493,
+    0xa6c74d90, 0x55bcabbe, 0xf98a1808, 0xb9fc8f13, 0x70d5661e, 0xe6caf7f5, 0x2be074fc, 0x6c1d19dd,
+    0x2d56b2da, 0xdfc0f8b6, 0x7210e80a, 0x0f25eccd, 0xe5f37639, 0xa3c57526, 0x792aaac4, 0xbec1e067,
+    0x47ced37a, 0x94f932a2, 0x92c70cfd, 0xa98a02ae, 0xe66116cd, 0xe0b0ec5e, 0xc0e72021, 0xaa68a51e,
+    0x8e5fb7e2, 0xad2fe0b5, 0xb32dfe04, 0xa8369534, 0xd9f3245f, 0x67491bd6, 0x09776c2b, 0xd63243fd,
+    0x63003212, 0xa104eca2, 0x7ea2616b, 0x2447cc0b, 0xd1492177, 0x4897fc51, 0x3b351b46, 0x0d19c6a7,
+    0xb0d5cce9, 0x215497f3, 0x1a92280a, 0x518cb33e, 0xa7fefdf0, 0x078b52fc, 0x761759f1, 0x820abfea,
+    0x876b59c1, 0x99e9081f, 0x3e38b8cd, 0x00cd5169, 0xdd3f5572, 0x813b5df2, 0xd7cb60d7, 0x6231f2be,
+    0xa360a6e4, 0x38635380, 0x9c25d86f, 0xc108407b, 0x7fe1600f, 0x3123caf6, 0xb2659301, 0xef9d6de2,
+    0x80209496, 0xe1e9d4b1, 0xdad02c3e, 0x81602340, 0x2b99dd68, 0xc16f488d, 0xca2b07d0, 0x0368087b,
+    0x61bedc97, 0x7ccca89f, 0xed2a655e, 0xbc2a6bbb, 0xa9f389d9, 0x34b78c2c, 0xe9fd1d5d, 0x4af197f5,
+    0x9fcad162, 0x5c929bd1, 0xe2bf5386, 0x5f8aa2c0, 0xe9f82c90, 0x280f23cb, 0xa4210dd6, 0x24e58fe2,
+    0x966b7e59, 0x808add82, 0x6d1bc56b, 0x1ec3f912, 0x9e9ae92f, 0x6a342664, 0x5a221430, 0x5f9ad2f9,
+    0x580792e0, 0x3d406dde, 0xe10f46a2, 0xad3f974f, 0xf6e0823d, 0x0c695820, 0xac413562, 0x6ac1e096,
+    0x6ed474e1, 0x0c61ea30, 0x3db3cebf, 0xbb61b86f, 0x2fe083ff, 0x74008118, 0x6f71b874, 0x0c131003,
+    0xbc27e852, 0xe446b6f3, 0x01ee8229, 0x57b08518, 0xb04fa10e, 0x31b49593, 0xb90d2744, 0x2f8f9cda,
+    0xc4a1b136, 0x4b8ef9c3, 0x2f835d90, 0xc7cc7cf6, 0xbd5d4c82, 0xd997b28f, 0x968f8189, 0xad758279,
+    0x9b4fd466, 0xffabd2d5, 0xdcf2e7a1, 0xd70ffd8e, 0xdafe93fe, 0x81368c4c, 0xfc862e01, 0xf2ec7605,
+    0xbbefe6fc, 0xd6a63fcf, 0xd40bafbf, 0x030f2156, 0x9842ce27, 0x96e5461a, 0x26aec888, 0xd7fd0e2f,
+    0xbe52333a, 0x4bcd2e99, 0xed7afafa, 0xe7e4eced, 0xce67858e, 0x02cf7624, 0xb3693818, 0xffe4fbd8,
+    0x107ab8e6, 0xb4447e08, 0xf5be8666, 0x66acd72a, 0x960b98ed, 0x7cdca2e8, 0xe1ed65c0, 0x9a6ffb38,
+    0x07d1e4ed, 0x7d2f78e6, 0x2d326084, 0x5650d4fc, 0x870254fa, 0xb028b4cf, 0x31f7fef0, 0xcb9602f7,
+    0xae9eaf15, 0x5cc1d8af, 0x25fc85bf, 0xd64e3d35, 0xd47181b4, 0x83e21b38, 0xe6f13942, 0x38cc11c4,
+    0x18ac2771, 0x4354b317, 0x79ee3d56, 0x6032dba9, 0x301ffb4f, 0x400e505d, 0x9077a1aa, 0x565228eb,
+    0x92760a05, 0x6cfaec91, 0x544918db, 0x83af5594, 0xd54ba3a0, 0x7e44c7e1, 0xeb135dc1, 0x044d5b61,
+    0xb3016dc4, 0x09930ccb, 0x6b8fc1d4, 0xe8829a94, 0x4cf37efd, 0xd3108ac8, 0x2e4ca614, 0x931a982c,
+    0x82a151e7, 0x97d4cbaa, 0x6921de96, 0xb17381a5, 0xd85e1f6a, 0x866a500c, 0x60390b54, 0x046e6050,
+    0x1d886419, 0xa0735f54, 0x084961ba, 0x8e17fd17, 0xbcef2a53, 0xf5f2e01e, 0xb3ee5ad1, 0x7cfb98c1,
+    0xaf6de727, 0xa9f02237, 0xe2d74a42, 0x9fdc05e9, 0xd9b16078, 0x6804d694, 0x204355bd, 0xec028e58,
+    0xd9b1b603, 0x515aac76, 0x2f1c26cc, 0x4dc1ea84, 0xfb4d32cd, 0xb6fb3397, 0x9930f10c, 0x99bee67a,
+    0x2e998d4a, 0x40e98521, 0x595651e0, 0xfaef2b42, 0x16cd47aa, 0x298648ef, 0xaac64014, 0xe912e87b,
+    0xbf58c58f, 0x6391ccb3, 0x0d899d83, 0xa5dd3da6, 0x2a1d44ed, 0x95f1b1a0, 0x629ce290, 0xccbcf6b0,
+    0x7b1d9b65, 0x303a0f58, 0xfed97630, 0x1d9e94a8, 0x869fa486, 0xce3be6dc, 0x61d933c5, 0x813ae628,
+    0x60279484, 0xd73f16b4, 0x0a54c836, 0xefb54a0c, 0x08c7058b, 0xbf34d932, 0xf5e5050d, 0x404b3f22,
+    0x5a6c667c, 0x21ded9f6, 0xc28f0250, 0x03bee1ed, 0x30551127, 0xdca757fd, 0x13f671df, 0xf578358a,
+    0x6147b4a3, 0xe482033a, 0x70b09bac, 0xd267ae24, 0x8e76906f, 0x78bd7f63, 0xc74fa8e3, 0xd6a47abd,
+    0xa7693c3d, 0x1caa4c7d, 0x83da08b4, 0xab658eaf, 0x86c2def4, 0xabe6ad3d, 0x55613539, 0x4712600a,
+    0x62c2a6c0, 0x6347dbaf, 0xf7dadac7, 0x46676292, 0xb9351ae4, 0x57a04a3f, 0xa72d891a, 0x0c6e92e3,
+    0x4760b70c, 0x05361171, 0x76510cbc, 0xba224d19, 0xea3657e9, 0xafb38ca4, 0xcb8e97f0, 0xd5002687,
+    0x0ba42904, 0x4067d017, 0x79bacd25, 0xa59a7db9, 0x8e244082, 0xaf7d08c9, 0xb5e9a53a, 0x24c0dffa,
+    0x1304c789, 0x6dc6b95f, 0xe33acb60, 0x6b98291a, 0x39130974, 0x9ce8e7dc, 0xe2712557, 0x79f77e6a,
+    0xd603e11a, 0x08f05500, 0x36be34e7, 0x087721d2, 0xa9339f93, 0x83403266, 0x2d3f810f, 0x612122b2,
+    0x25727d6f, 0x0e8c7853, 0x455759c0, 0x35c35de8, 0x74cd3d45, 0xacfcd593, 0x38b9e911, 0x641dd237,
+    0x7f82117a, 0x45cacf38, 0xdf93737d, 0x580ec517, 0xb3df6c8a, 0xdb02a57a, 0xfe1b88e2, 0xb2eafb32,
+    0x80e1ed80, 0x1540c058, 0x67672bd6, 0x9b7ddff1, 0xc7c79d10, 0xb554d241, 0x1fcde26f, 0xff462c90,
+    0x660478af, 0x8533f0e2, 0x026f1a2c, 0x25bd4b87, 0xad27a2e4, 0x18065c8b, 0x1c17b0e1, 0x24806afc,
+    0x1c0bbc73, 0x78831dc2, 0x5351808b, 0x94fd0a85, 0xf3de7272, 0x8871e70e, 0x0d1d9111, 0x888cd8bd,
+    0xf9dd240e, 0x7c301971, 0x253011d6, 0x0110410b, 0xec8d317c, 0x60823fd0, 0xa04e8473, 0x43f3e668,
+    0x670ce439, 0x562eaacd, 0x8854343f, 0x3ba032ae, 0xe2fc4006, 0x4d04d750, 0xe96bd3e9, 0x60f54a58,
+    0x2dedd70e, 0x3f8b8a92, 0x2f7f036d, 0x3142a606, 0xd6d13528, 0x0caffe89, 0xc57da3f5, 0xdff0dc56,
+    0x547c01be, 0xf97a69a3, 0x9fbacb07, 0x71695165, 0x6b08cd89, 0xb67269a9, 0x1c53e030, 0x2359fffe,
+    0x75b33cb6, 0x753f8c08, 0x844b81e8, 0x29b56450, 0x2d8a100e, 0x46309b37, 0xda8a9372, 0x39d8e38f,
+    0x34111fe9, 0xbb696eff, 0x7cb6081f, 0x56d57eb8, 0x82b8c509, 0x26982e7c, 0x0f4fcb1c, 0xc6200e6e,
+    0xa63b12e7, 0x44504b70, 0xa1f1a1a8, 0xd84064d6, 0x79075051, 0xb4901f1b, 0xbf168962, 0x74436721,
+    0xef934db1, 0x663b547e, 0x2ee890fa, 0xbd9ad869, 0x5224ea28, 0xd8ebc535, 0xfcb17c12, 0x3c51eaf8,
+    0x0d65abdc, 0xac9c9d8a, 0x9d848a55, 0xa23671a3, 0xa81d64d9, 0xbda9eeda, 0x70b5f934, 0x748d2cf6,
+    0xd90befb9, 0x02de0b98, 0xf44d2a41, 0xc52bf419, 0x8c1bd89c, 0xe99675c0, 0xf61f4ffd, 0xb0ac51d1,
+    0x3b50441a, 0x3f631bf9, 0xe214b035, 0x371d6494, 0x03a6fb0d, 0x7322542b, 0xb6a637ba, 0xe7ff12a7,
+    0xe8200eba, 0x1684d098, 0xa42a40ba, 0x7dc44f21, 0xdd3c0116, 0xbdbddb9b, 0x24dc2785, 0xe96484b1,
+    0x586ed7cc, 0x68a8e728, 0x79814140, 0x5a46f64d, 0x05db7d1a, 0xac0d72f8, 0xaeab9178, 0xe0a5002a,
+    0x9d9033a8, 0x2344aafa, 0xe8d324f3, 0x6980c70f, 0x65896a1b, 0xd85e539a, 0xf44637df, 0x91d423a6,
+    0x96b80999, 0x58345d04, 0x54dd4dd4, 0xdb122f0a, 0x4919b7ae, 0x492d0fda, 0xea841d6f, 0x96bf52ac,
+    0xbf0e0fbc, 0xdd987203, 0xc8bcd57b, 0x362fe4b8, 0xcef70ab8, 0xb8422d3e, 0x131a73a2, 0x6be8680d,
+    0x8550f283, 0xebff4b87, 0x9fc1b442, 0x00b249d4, 0x68f5b1a8, 0x9eca3b9a, 0x1956d591, 0xfec6756f,
+    0x91ca2d20, 0x2f40ab85, 0x830467c1, 0x0bdf662e, 0xb20b3aac, 0x06d17fb0, 0xbd7b4eb4, 0x748d8d2d,
+    0xbca7faba, 0x1fed5b39, 0x82f88b7a, 0x877da9bf, 0xde4c18f1, 0x280538a4, 0xdf9db833, 0x4d26f2ca,
+    0xfd0ce55f, 0x42cb59e4, 0x245fb6d7, 0x9d41d3c0, 0xc6119b08, 0x554d2c30, 0xa46725a7, 0x4d4c22c5,
+    0x91e383e2, 0xc0b296c8, 0xd995f6ba, 0x0d6a76c0, 0x9aa749df, 0x9b78a628, 0xc8f9052c, 0x9d490152,
+    0x0de83c91, 0x1ba55d0d, 0xe33653b2, 0xff43efab, 0x2b3412d4, 0xb42ef550, 0xe256b042, 0xefee14f3,
+    0xeadd3de8, 0x6793a014, 0xf9cd3f15, 0x07f9cc08, 0x9618bb81, 0x938f4b2a, 0xbf375d8f, 0x7457690c,
+    0xc99c4545, 0xa51678b3, 0x57b70fff, 0xd62085ec, 0xe81d507b, 0x8440dffe, 0x6661fe7b, 0xa39b6a39,
+    0x41e373f9, 0xf5320541, 0x1465c496, 0x7e7ec1ee, 0x815bf9f5, 0x2a9b942a, 0x0b252294, 0x613ef64e,
+    0x85f1db4c, 0xf1a9715b, 0x7ba381ef, 0xed6105f8, 0xac3eae28, 0xc1c400ba, 0xf7c84b69, 0x382365bc,
+    0xc3ef73a1, 0x74edbbff, 0xc790963d, 0x175467b7, 0x619d7518, 0xc1cab81e, 0x50471acd, 0x1a0c2007,
+    0x5b78044c, 0x9ad10ff2, 0x4dd3b8a5, 0x61475268, 0x6eb37a64, 0xb0a79fa4, 0x81ed2ca8, 0x9c26728d,
+    0xaf013392, 0x3c561d3e, 0xfe522de2, 0xc6a24720, 0x219abd96, 0x29bec2ed, 0x9aa421bb, 0xfe296dc4,
+    0xf0362faa, 0x00332093, 0xd217d7b0, 0xfb5ac459, 0xf94f80c8, 0x8d6e8388, 0xa79a58c5, 0xacc7ba91,
+    0xf2b43d7c, 0x8eedbd88, 0x98f89887, 0x304c0437, 0xc46b4e70, 0x1562d6b2, 0xb9abc2df, 0xde0bf3ff,
+    0x19343ef3, 0x1f157377, 0xa4d492d2, 0xbe59eb54, 0xe74b6776, 0x41bfa88f, 0x50c5ea5a, 0x205999b0,
+    0xe3406b16, 0x6cb947f0, 0xb08352b8, 0x71d4e4ca, 0x2607fb98, 0xfe4a424d, 0x4700bc8c, 0xca23af14,
+    0x5aa2192b, 0xda32431b, 0x8a004c0f, 0xc88e2c3d, 0xcc398d66, 0x706cf3fc, 0x7d16dede, 0x28e19066,
+    0xb3a8945f, 0x77c5a6c7, 0x91e7c563, 0x1e7fcc46, 0x63a532b5, 0xdbaaf206, 0xaef15803, 0x54641e3a,
+    0xf0b5f123, 0x787ffde6, 0x144f6153, 0xc776fe47, 0x7a4b1ee5, 0x461e5602, 0x469db457, 0xa9c82b3d,
+    0x16def758, 0xc1bdcec7, 0xf545b08c, 0x6c7b468a, 0xeb3b681a, 0x116e4ad5, 0x3357d3da, 0xfd11a65f,
+    0x1cb7f778, 0xade67c8c, 0x2797b92d, 0xc1e5935e, 0xd0ee9454, 0xaf60b566, 0x70320dbb, 0xd1f2c920,
+    0xa997d603, 0xab7bdc71, 0x8cc8146a, 0x14e66d89, 0x6236ca96, 0x8c70e2ed, 0xbea1a5fd, 0x3ff3085f,
+    0x12a64ccd, 0x53e67e89, 0xf378663b, 0xcd7cd33c, 0xbe9edadf, 0x80103c88, 0xb9dcbea9, 0x43df4f60,
+    0x6db07b7e, 0x494ebd86, 0x72e8d728, 0x1a5af73d, 0xacc78f49, 0x6300a064, 0xf6805af1, 0x42270c63,
+    0x56887adb, 0xe562f8ca, 0x183e1daa, 0x192be6d0, 0xf6b576a3, 0xf2c13918, 0x74d97ee7, 0xdbf9a7d4,
+    0xfc0ce947, 0xa267fa09, 0xcbc01ab3, 0xd27c25b1, 0xc2f845cb, 0xac5e97a5, 0x0b4fe471, 0x9eec30a7,
+    0xe624b572, 0xa3415bd1, 0x776397ce, 0xed0a3ed3, 0x87b4f835, 0x801b4174, 0xd5d1d170, 0x6a4a793b,
+    0x0a75d5b4, 0x47cd934f, 0xfbf18813, 0xa2499d52, 0xe8193505, 0x52539353, 0x81103902, 0xdbb08cd2,
+    0x880db9b9, 0x219a2270, 0x9cff6fc0, 0xbc8eb462, 0xad826d11, 0x83981cc3, 0x7942d893, 0xa67f3411,
+    0xc3f04b0e, 0xef1262b4, 0x3c127cd6, 0xa498fa45, 0x440c968f, 0x86286591, 0x4c85c509, 0xd02d629c,
+    0xc56126c2, 0xf464d1a5, 0x56940012, 0x0dbc2a96, 0xbf6b695f, 0x6e1edf67, 0x99d70324, 0xea8f0c99,
+    0x7ce56764, 0x86189e84, 0x408d3e07, 0x94dfa90f, 0x927da0c5, 0xa4df6a1b, 0x681e3cd3, 0xc4ba9f0e,
+    0x00000000,
+    0x49c52f41, 0x5c1db415, 0x1622ae0c, 0x2f99af02, 0xf7d187a6, 0x16e49537, 0x1c84c52b, 0x32693aa0,
+    0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000006156563468186637376918600015647439657\
+                          04370926101022604186692084441339402679643915803347910232576806887603562348544 */
+  { 0x00000000,
+    0x34e5e83f, 0x7a1c8c70, 0xd1ce0e2d, 0x175b065c, 0x61ff113c, 0xabe28253, 0x3e742fff, 0xaa64d335,
+    0x4a1089e5, 0xddab136e, 0x37c1ae93, 0x749d3193, 0xccad3a96, 0x89fd22f4, 0x4d36ea77, 0x53ad132c,
+    0x773c326a, 0x85090897, 0x53cb1b39, 0xeddb8080, 0xc5d40225, 0xf04e741d, 0xabaa2ad8, 0x0041f3da,
+    0x134cdbaa, 0xc6688a9a, 0x261ffdef, 0x3f0f2135, 0x5b49cf75, 0xd52f8cc9, 0x4bdfba86, 0xbc56088a,
+    0x7e8b681a, 0x4ce461c7, 0x66d9b84b, 0x44d809fb, 0xe18ce543, 0x94d42db6, 0x6a55b5de, 0xbb6f54b0,
+    0x5180ebbc, 0x4d81bf5d, 0xa2c41cf0, 0x33a32740, 0x6ec609df, 0x915d5638, 0xba03840d, 0xeadff909,
+    0xe78d22e0, 0xfe95ce6b, 0xc080723c, 0xee411bb2, 0xdabad95c, 0xa9c64f94, 0x13b2e450, 0xbb30ee12,
+    0x700412f6, 0xa7313d25, 0x5842b9cd, 0x32a5d79c, 0xce130bce, 0xe8ed390d, 0x8059298e, 0x2f1ba7eb,
+    0x08491adb, 0x8775012d, 0x0ef6900f, 0x350d6c76, 0x092dc6a1, 0xae437ce6, 0xe950ac59, 0xe4aaa365,
+    0x00905a8d, 0xc28cf929, 0x4850f94a, 0x8cb5d43d, 0x76581729, 0x4fd75dd5, 0x20aac4c1, 0xb531d77f,
+    0x7ea0e420, 0x8ac32e66, 0xf9de748a, 0x84225de5, 0x4dac70b6, 0xfc729466, 0x1df6b24e, 0x8d8b939b,
+    0x1612c49d, 0x90011ed7, 0xb9cfbe2c, 0x42119cb7, 0x0ab04686, 0x13142c3d, 0xd25ffb5f, 0x9ea425e0,
+    0xb5cba58e, 0x73b0feeb, 0x918ff659, 0xad5354d7, 0x33a55ede, 0x90ee4903, 0xac75f5d8, 0x3c450a7b,
+    0xdf0924f1, 0x20e9fc7b, 0x1d51eaec, 0x91f49f78, 0xb378f55f, 0xbd690b1d, 0xa94b13a6, 0x614fda05,
+    0x175edf60, 0x371701a5, 0x25440307, 0x3652b20c, 0xd99fc55c, 0x8021d2b2, 0xd95ca101, 0x00c62404,
+    0x0cabce0a, 0x74c417fc, 0x696bb41a, 0x35217f3b, 0x3d4a0d64, 0x8bbe46bb, 0x7e53a7ba, 0xaabe41c0,
+    0xe9cd86c6, 0x6e635171, 0x843606f7, 0x680b4763, 0xe63f4936, 0x00297694, 0x65600ce5, 0xacaf952b,
+    0xede3c1ce, 0x9d4e864c, 0xa7105808, 0x5f8a4fb2, 0x15d3588a, 0xef2bff9d, 0x2f88cefd, 0x880f24e2,
+    0xc6fe3430, 0x84ba680b, 0xc1122d25, 0xb13aaa6f, 0xc7b3e2d0, 0xe0f649a1, 0xa88d66e9, 0xc059c438,
+    0x49c0e44f, 0xc0c2fc14, 0x870778b4, 0x8e476494, 0xb8aa960a, 0xf4efc9e5, 0x46c6bfe9, 0xa975449a,
+    0x692e0242, 0x6e9599ea, 0xdfc70fa3, 0x68f0c0f3, 0xc3512b88, 0x9f7352f9, 0x06b88beb, 0xc613fafa,
+    0xc009b636, 0xbb5f3c83, 0x68b2c77e, 0xe6d918a1, 0x858d0418, 0xb41b9a20, 0xc4f9cfca, 0xc36fd76c,
+    0x0a318b1a, 0x3bd58c15, 0x27a5b1ed, 0x05ecb127, 0x2bec35ab, 0x2f3badd4, 0x737b9163, 0xa2448032,
+    0x5362f223, 0xbc98bac5, 0xafadfa55, 0x6695692d, 0x843e43dd, 0xe1ebbd0f, 0xabb5e5e1, 0x746f2975,
+    0x53ab7c86, 0x0a8e4667, 0x8ac6321b, 0xb861b86c, 0xfd50ee69, 0x815b79d6, 0xc456931c, 0x5d7b5efe,
+    0x9a20fbae, 0xd70042cd, 0x74e0f312, 0x5b216648, 0x3b4a89ce, 0x863e3295, 0x28bfe77e, 0x18a1b6d4,
+    0x1e624591, 0xed59e507, 0x5ecaa0b9, 0xa6d42ed6, 0x3fd5580e, 0x2b94ad1f, 0xf55e868f, 0xe5f1ebb6,
+    0xa3270298, 0xf57b5fb9, 0x4fff402d, 0xd1013a63, 0x74ccbbe9, 0xd0a0316f, 0xe8d21c86, 0xc787c740,
+    0x0a5e003f, 0xf45646ea, 0x1feb5579, 0xb40ddefd, 0x312064db, 0x8b5528d4, 0x0bda7262, 0xb3ad61cb,
+    0x5e417960, 0x08c3d4ea, 0x9bc694b8, 0x8dc6dffc, 0x0edfde84, 0xcfcc9278, 0x66a393c2, 0x01eef0c3,
+    0x2a77445a, 0x3b0d1fbf, 0xadd1f7f2, 0x87908968, 0x2a39933d, 0xa318906a, 0x93d512b5, 0x2ba15aa3,
+    0x9c525f79, 0xbb6e076d, 0x7b6c36d7, 0xd743e2f0, 0x244e129f, 0x1dac4fd7, 0x8ba8854e, 0xc9466e75,
+    0xaadf55e7, 0x15d5db52, 0x1ab5d5c9, 0x1aae1ac9, 0x8ef62dcf, 0x32e1f847, 0x4f7c1295, 0x818e654d,
+    0xc2700199, 0x81cbf655, 0x4c84d903, 0xb396cc36, 0xd8f78810, 0x2358a730, 0x7864027c, 0xb103aede,
+    0x05f8c746, 0x2fb8c59a, 0x46edd073, 0xf65b3fad, 0xcb4d1738, 0x5be11fbb, 0x0b58cde0, 0x86dd773e,
+    0x4ee929ca, 0xad44887e, 0x17b14667, 0x9a287acf, 0xf2593bd5, 0x736b8a72, 0x178a94cc, 0xbf1e6c52,
+    0xd9d3c789, 0x9711c719, 0x849a6970, 0xb678db49, 0x6c8d06e7, 0xb0198ae8, 0x154006e2, 0x88118a6b,
+    0xcc3eab53, 0x702c79ae, 0xa60a0d21, 0xb0971f7f, 0x98f0c9f8, 0xc5c357e9, 0xadee15d3, 0x2a298441,
+    0x11637839, 0x106de116, 0x9c102209, 0x4d42398b, 0x8d7a220a, 0x2179f9c8, 0xa892f84d, 0x843038c8,
+    0xc381c333, 0x4f837c40, 0xd26c6305, 0x2ec9e7f9, 0x1e5cc149, 0xdb517449, 0x1dd39558, 0x85a7bdf1,
+    0x6ee73822, 0x1d1808aa, 0xefd74e99, 0x49e01f62, 0x731f43bd, 0x5c73c1e4, 0xd7b269c9, 0x514dd532,
+    0x78e3f7fb, 0x2ac3910d, 0x6d2fe526, 0x25c069d9, 0x0ba6327a, 0x29727c60, 0xc646d892, 0x4e63ebba,
+    0x815d1d94, 0x9be120ff, 0x2355e2c7, 0x3b38cf2a, 0x934f5793, 0xcc935b38, 0xd89e9f73, 0x2173b089,
+    0x47141f1f, 0xb13feed7, 0xefe112c4, 0x871e4be8, 0xf70a4af0, 0xd5483401, 0x05b09ad8, 0x879c9c09,
+    0x1ee21105, 0x7cf2dff1, 0xce8decb8, 0x41833068, 0xa87d8519, 0x7464ccd5, 0x815680e0, 0xd7013126,
+    0xd6533ded, 0xdc040bb5, 0x27e0daf2, 0x0eaafe44, 0xab6bbaf4, 0xb78fe219, 0xec3f5f2c, 0x6ef91fa0,
+    0x836c49c0, 0x336c7bee, 0xd91286bd, 0xd8ab8445, 0x89e5cdf2, 0x4ccaa402, 0x5605afb7, 0x10beec76,
+    0xb3d1055e, 0xac5ea23d, 0xe7947b6f, 0x578bed7c, 0x08268fa0, 0x977bdfd6, 0x20f53267, 0x7d1a053b,
+    0x431b1994, 0xf3db3834, 0x22253708, 0xd7388766, 0xd073152d, 0x2fef307b, 0x15e9716d, 0xd1be8cd5,
+    0x3b8fd33f, 0x7d39ab59, 0x1d27bfcd, 0x17d0ff11, 0x193dc7a9, 0x07662ed4, 0x56941e20, 0x0b2dc5ad,
+    0x92e1e243, 0x47bbd52d, 0xb75d429e, 0x4dffc7d5, 0x5fb6865b, 0x44b24fe1, 0xf5199460, 0xa2e9fa5f,
+    0x1706b820, 0x3968e388, 0xdc12605d, 0x8169d962, 0x60c363ce, 0x2bd8fc27, 0x885f1806, 0x2fdd7627,
+    0xd52c2c50, 0x1791842c, 0xcac903f1, 0xb41a6ef6, 0x28cbadba, 0x74848270, 0x97a767b6, 0xd13d7add,
+    0x44ca6916, 0xb79e8841, 0x42b4027a, 0x186f79d4, 0x9471e201, 0x13747d21, 0xbe1a3591, 0x53a6ef90,
+    0xbded2dcc, 0xba740cfc, 0x4438f284, 0xa219b552, 0xa8ed00c6, 0x3cca8330, 0xd7931c86, 0x9337581e,
+    0x2e879db7, 0x6f84ced0, 0xf68f5a93, 0xe09e7589, 0xbed8e22f, 0x2168683b, 0x604c1e65, 0xcd8088d6,
+    0x920a340f, 0xb648d923, 0x1b856481, 0x751c39c4, 0x8c76c4b3, 0x17083002, 0x63f36a9f, 0x88986cc0,
+    0x6c730083, 0xa5f9acfd, 0xcd895790, 0xb0115d3b, 0x69dded12, 0x924a1b30, 0x3a1dc0d9, 0x8fca7af6,
+    0xcf7d3c2b, 0x512d7d80, 0x990b6c88, 0xf0e7fe5e, 0x46e9bec8, 0xadb2282a, 0xb3ec0825, 0x059e639e,
+    0x3c43942c, 0xd9601827, 0x37a25681, 0x3f57f9c2, 0x5157cee6, 0x5164d594, 0xabbba3e1, 0x040cff32,
+    0x21adac40, 0x1047b2d7, 0xd69bb3c0, 0xc32a23f9, 0xa3b63ca4, 0xe055131f, 0xeaa2ae0f, 0x3799f82b,
+    0x8c5778ec, 0x04bccb7e, 0x252cfab4, 0xf236994f, 0x33fbacc5, 0x3dab48f6, 0x47481895, 0x9eed3cb1,
+    0xb94ab39e, 0xfbfecc97, 0x44eddc89, 0x772bae07, 0xe7ec6543, 0xca7a379c, 0x740d9afc, 0xfdbe11ff,
+    0x33362088, 0xd258cdfd, 0x055ee91c, 0x5bb16942, 0xa4c4127f, 0x56b6e021, 0x1b9d365a, 0x18557d0a,
+    0xa64e5659, 0x9ee90af4, 0x66885c90, 0x127e30c7, 0x2c9285c8, 0xfac87b96, 0x7a4017f6, 0x31f2655e,
+    0x403facbd, 0x1317cc6c, 0x5087039d, 0x7f8cd3fe, 0x92b76771, 0x191f4ce4, 0xf81053f3, 0x25effeb7,
+    0x53191c44, 0x8e67a7b2, 0x336048e4, 0x0d698b67, 0x4354f4e0, 0x0f934fa1, 0x39573c0f, 0xcf59d0f6,
+    0x4cbe5d36, 0x5bd1ea9c, 0x1d461598, 0xad1a6b39, 0x0a0913cb, 0x39320e50, 0xf5942bd4, 0x1ee964f4,
+    0x11ff4c6a, 0xd61a055a, 0xe1e62858, 0x170f64da, 0x5d1707d4, 0x880596f7, 0xcfdd927f, 0x9fdd5174,
+    0x57709c15, 0xc6ab0515, 0xf2cfe8f3, 0x1866da36, 0x3ad74bfe, 0xd99fac4e, 0x5ea984aa, 0xbd557725,
+    0xd0edf051, 0x5d679fa1, 0x7fa1df09, 0xb2e493f4, 0x640dba04, 0xe8ba18a0, 0x39ee26fd, 0xa457e148,
+    0xac2eb7b0, 0xe541dfe8, 0xc2fe86bf, 0xa708c43b, 0x1fdd5b77, 0xcf98cb4b, 0x023935a3, 0x394ddd5c,
+    0x75024b8c, 0x63a58e3c, 0xbb788fc7, 0x10f31693, 0x5b60a502, 0x96aa453b, 0x6d55cfff, 0x62a18c55,
+    0x788dfd93, 0x77c9584d, 0xe1390c8a, 0xa9c94298, 0x3a89daee, 0xcad377db, 0x70d8c2ec, 0x46f18caf,
+    0xe7fd554a, 0x4840a14d, 0x8859735d, 0x1b53a4d9, 0x3e617c53, 0xccaf20ae, 0xdfb3763e, 0x1405ba89,
+    0x0a2d522c, 0x2f99d29c, 0x87f131b6, 0xf76b2f2f, 0xe76b36bc, 0x40e3462d, 0x40475e1a, 0x34f04b4f,
+    0x7f590ec4, 0xcf5707a4, 0xdfadd7bb, 0xca7166bd, 0x80955517, 0x0d2f5ff9, 0x79ea1a3f, 0x2a0f7284,
+    0xb5e31ff2, 0x67ab2f12, 0x75028537, 0x0a64324c, 0x910214a1, 0x54481019, 0xda3952ca, 0x5e99ad25,
+    0x7bba2a03, 0x5964e867, 0x26650179, 0xfb9473c3, 0xe3ea1256, 0x2b8276ca, 0x90b8d444, 0xb31f1777,
+    0x1995f96d, 0x0292fc36, 0xfb48a024, 0xe75b4c65, 0xc2c9c920, 0x79dd7649, 0x9090184f, 0x0ade301f,
+    0x59445ddb, 0x634fea53, 0x0b4a2d91, 0xa620c907, 0xa942da48, 0xf2bcb0d3, 0x453d1ed4, 0x9e037f20,
+    0xbfde1dbd, 0x535932a1, 0x147c7c32, 0x677ff646, 0x3b840456, 0x4835581c, 0xd6f62e6e, 0x8729f87f,
+    0x74ddce2f, 0x4665af64, 0x8c60ac5e, 0xff7d457e, 0xfc082b39, 0x4ee65f07, 0xde8dbf42, 0x4dbc7069,
+    0x2b90148b, 0x6f886e5c, 0xb8b88669, 0x5dad6846, 0xf803362f, 0x99922818, 0x8f07a0bd, 0x94287c73,
+    0x6607d973, 0x39c09a55, 0xa558bc52, 0x19ea4079, 0xd4e9c6ad, 0x0b8d1a69, 0x46c45180, 0xf9112f86,
+    0xb0e839d2, 0x4c7c4151, 0x742fe775, 0xbdbc3e2a, 0x2451d364, 0xab7feab4, 0x1c62bb02, 0x397df96b,
+    0x71d3b536, 0x6a6ee83d, 0x59d36436, 0x7f6b3a40, 0x2f036da4, 0x76f020e2, 0x31e36a88, 0xda7984ee,
+    0xab641fd3, 0x41b23dae, 0x492c3280, 0xcf71fa3d, 0xfdbc9ecb, 0x6483beff, 0xbdf1e356, 0x806014e9,
+    0x9234099d, 0x1899688e, 0x640225b0, 0xfbab9e59, 0xfeaeae0c, 0x87b3f50c, 0x066e96d3, 0x3d60cbec,
+    0x21048766, 0xf24b9af6, 0xf936e25f, 0xc1b9a35f, 0xa324af11, 0x29b000d6, 0x27cf571b, 0xe284a850,
+    0x48ed020c, 0x11937169, 0x926c1dcb, 0x05aab4f7, 0xaa6eb857, 0x01c63cfb, 0x3df91b16, 0xfbd693ad,
+    0xb8dc5f20, 0x7d750a63, 0xb78a72bd, 0x290a0b76, 0x4fcbe2f3, 0x3e0097e9, 0x119b5b27, 0x0392c2e2,
+    0xe101477a, 0xa476e993, 0xbe1008ac, 0x46b2a582, 0x70300f65, 0xcf9628de, 0x6b0d71f3, 0x9737600a,
+    0xe953159f, 0xd5300fb2, 0x7d807d49, 0xe7b67bc0, 0x01b6b8f2, 0x37e8d8e5, 0x2b7c882c, 0xd6ea12e4,
+    0xd73573e0, 0x1a311f6e, 0xc8613c9d, 0x268bab7c, 0x225814c5, 0xa36d3754, 0xe7f71be2, 0xc5ca079a,
+    0x0a0275cf, 0xa566e7c4, 0x2edfc696, 0xb4decff2, 0xfa57567c, 0x6b8fd081, 0xda652fb4, 0x9ca5addb,
+    0x05cf531a, 0x6a48861c, 0xbbbfb388, 0x1ed950d6, 0x12da2932, 0x81128bc4, 0x075b3cd7, 0x902f05c8,
+    0xe9988762, 0xd0b03937, 0x9605210e, 0x50faed29, 0x5a1e833a, 0x5f95e9c2, 0x4b41ab11, 0x2193eafc,
+    0xe5c24bbc, 0x27bf0418, 0xcb1efdbf, 0x7fc021dd, 0x9829e920, 0x34fd5965, 0x6737d8a3, 0xd182022d,
+    0x6dfa6601, 0x34e8122e, 0x8328d125, 0xa245d949, 0xc79e744d, 0x6db29c41, 0x87861718, 0x4abd4f83,
+    0xbff81928, 0x3580f72d, 0xe9d6cf48, 0x1aec0e0d, 0x684f79c3, 0x43d1bf79, 0x8551ed4f, 0x54d0e650,
+    0xeb96fd65, 0xfe630659, 0xf0225655, 0x4052f5e7, 0x29469ae6, 0xcb70096a, 0x25d99bae, 0x8ed61e5d,
+    0x416e6651, 0x1a0deaef, 0x4a1266c0, 0xe5433970, 0x6caba090, 0x5175060f, 0x9bb5fa07, 0xeea3a639,
+    0xd2276fb2, 0x8fc4dcc2, 0xb1a83165, 0x07d5251b, 0xd623e973, 0x6071226d, 0xb08230fd, 0x4317ee0c,
+    0xb1760bf5, 0x2b578d26, 0xa43cfa47, 0xff811863, 0x2d5745c4, 0xb2005386, 0x755b4369, 0x837d9cee,
+    0x7d103893, 0x08f84998, 0xb23fdc6c, 0x5f450b5d, 0xba0410de, 0x8af9903a, 0xe32ab9d0, 0x7b09f058,
+    0xe4d76cab, 0x1be3d33c, 0x882af1fb, 0x88ec1de0, 0x9e9f0671, 0xc3f19df8, 0xd158f0a1, 0xac4a5f56,
+    0x36a53925, 0x3923e9c1, 0xfed22126, 0x2e029597, 0x84f3649f, 0x416afd9f, 0x2c7639a7, 0x21104c8a,
+    0x33308b5e, 0xa94bbe2a, 0x135b5067, 0x07413fea, 0x6ac87924, 0x6387f909, 0xaa460742, 0x03f0731e,
+    0x1acae4b3, 0x311c1de5, 0x764cbbb3, 0x4c2b1ca9, 0x1e07143f, 0x2cc9c994, 0x411c1aad, 0x70c49032,
+    0xdf1d20b8, 0x9ed36c42, 0x23ce0236, 0x6bbafaeb, 0xe63e403a, 0x625ff84d, 0x66ca053f, 0x48ea95e0,
+    0xcfb46eeb, 0x059b4e0e, 0xe9610b5d, 0x4450e7b9, 0x3663595d, 0x04b02a4a, 0x852e4d37, 0x31597f42,
+    0xf5e78ec5, 0x016cb582, 0xca3bb0bd, 0x1c642518, 0xe366fa20, 0x680329ea, 0x8680c99d, 0x2b304c4d,
+    0x89ac9ed7, 0xda73df47, 0x8a3a2341, 0xb1ddbe4e, 0x28e32f26, 0x52a6f363, 0xb734679e, 0x108fc4b1,
+    0x0f3801e5, 0x1f425021, 0x297cade7, 0xb0776ce5, 0x2342cf0e, 0xefeeb45d, 0x43081e9c, 0xa162b346,
+    0x37624478, 0x476acea2, 0xd400e9dc, 0x20f35d6b, 0x6ca72d18, 0x79ff68a8, 0x5b0c2025, 0xecf23f31,
+    0x935f3837, 0x66861b76, 0x5bb32299, 0xb82ea07a, 0xd6836b42, 0x39ec18d8, 0x69b2e3a7, 0x479aa82f,
+    0x513264c4, 0x24bd5d3d, 0xca612ebe, 0x9a4217e9, 0x0355fd9e, 0x23dfbf95, 0xefa52c8b, 0xa6284432,
+    0xad06ec8d, 0x415c9068, 0x7aab9334, 0xd2364dca, 0xf745551d, 0x0dfa4686, 0xf226df13, 0x6acdadc7,
+    0xbd42aa58, 0xdd1a8f2d, 0x387f1264, 0xf0bb8d42, 0xb4d503f2, 0x7c615b7d, 0x3d802468, 0x49a28e54,
+    0x6aafa65f, 0x6435895e, 0xdd1b3e35, 0xcd0422c9, 0x1b378f18, 0x62e3fb46, 0x350e023f, 0x70b157a3,
+    0x1b36de6b, 0x9f36e9bd, 0x9b950a99, 0xba22b755, 0x341de39d, 0x35cb7af6, 0x50090d7f, 0x9e08012c,
+    0x24bba63b, 0x0081e5cd, 0xf2e3a7bf, 0x7a99cb97, 0x83350204, 0x08fc267f, 0xedaae9ee, 0x0c7154a0,
+    0xd7910b7c, 0x530f2bcd, 0x26d04cff, 0xaedd9c97, 0x3fd6fe11, 0xf23067d1, 0xbdb8f69a, 0xf91edab0,
+    0xbf6a9d4e, 0x8d04ae08, 0x47b61d8a, 0xbc81869c, 0xb63ad690, 0x61784396, 0x2ac3d2e1, 0xc32da693,
+    0xa3bb92b0, 0x9576d752, 0xbde93910, 0xa29e323f, 0x81fd46ab, 0x81021c5a, 0x9d8562f3, 0x9eafaaec,
+    0x00000000,
+    0xa4e297a0, 0x2e0eda0a, 0x0b115706, 0x17ccd781, 0xfbe8c3d3, 0x8b724a9b, 0x0e426295, 0x99349d50,
+    0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000003078281734093318688459300007823719828\
+                          52185463050511302093346042220669701339821957901673955116288403443801781174272 */
+  { 0x00000000,
+    0xd044ab76, 0x80d4e22b, 0x23a90f24, 0xac6e4b8a, 0xe9b91850, 0x1fa0bedc, 0x9e97180e, 0xd8b6b3fd,
+    0x5d1a7d57, 0xee417633, 0xf4ec3425, 0x560baad7, 0xde62f2fb, 0xda579ed4, 0x05715a81, 0x3ee5444a,
+    0x57443206, 0x5a994bb7, 0xfd97b7ee, 0x99ed7ac8, 0xecb11615, 0x05c9e49d, 0x0f3d1ff3, 0x51ccf459,
+    0x529df8fc, 0x21e9e105, 0x16d323ce, 0x509cc56a, 0xeae81f81, 0x9e75924d, 0x92cb2265, 0x8cd6920c,
+    0xc6e4adc4, 0xb4b87231, 0x107ff24e, 0xfa714be1, 0x01e2d025, 0x4804a1b8, 0x285cf145, 0xd821d2a6,
+    0xb1d03f78, 0xead75229, 0x83ff6d6e, 0x219ca05c, 0x809eec8f, 0x3657f527, 0xf50596c1, 0xd9ee340a,
+    0x550c146a, 0x9e107d4d, 0x6e79d37b, 0x146bf0f5, 0x32edc4ae, 0xaa5d830c, 0xada33904, 0x89415baf,
+    0xd0d9f770, 0x2b8ee9e5, 0x37a8e108, 0x1b1136ec, 0x4d5cb110, 0x3de5aa9f, 0xd248afb9, 0xec6ba04a,
+    0xa57d57d5, 0x61380541, 0xb9151220, 0xa97d9737, 0x8a3117b1, 0x7e301839, 0x0b860ba1, 0x9c6910ff,
+    0x74895696, 0x7cdbca2e, 0xec77cd31, 0x68803cda, 0x41bebf50, 0x852d3777, 0x93bc613f, 0x8d4492b6,
+    0x6f2a3c65, 0x29153a32, 0xf9b3d1c8, 0x4436d6de, 0x0762c333, 0x50f2c610, 0xb9f50f80, 0x49539eaf,
+    0xc6cf1786, 0xb2a5734e, 0xaf22e618, 0x92a8aab3, 0x3e4b42b7, 0x08d7ce5a, 0x49e2f2f0, 0x726227be,
+    0x1f7e6b64, 0xcb698419, 0x0514d789, 0x3c496fab, 0x8ef0cda0, 0x7cb6f1d1, 0xb08beec8, 0x27161400,
+    0xe372ac55, 0x8c2ce27d, 0x6a43b4a7, 0x3944bb9e, 0x1ec43e76, 0x27902861, 0x6e54ba7d, 0x5ba3d86f,
+    0x05b42697, 0x3777a28f, 0x25ee1b50, 0x7f06dc11, 0xa7538846, 0x44100d67, 0xb348f83e, 0xd8f4c596,
+    0x24e674b0, 0x47558a40, 0x1d65d6ac, 0xb6be5de0, 0x9d97ecbc, 0xe0352b75, 0xdfffb3dc, 0xa924783c,
+    0xc518d8e7, 0x55b63d5f, 0xd7ad9cf0, 0x4e8aeea1, 0x874c6e46, 0x32b548b5, 0x17df58fb, 0x4cd8e701,
+    0x09dbb388, 0x0ee22923, 0xe45c579a, 0xb2d83e76, 0x9238a96e, 0x229ac828, 0x1c4f9c11, 0xb35c9f4f,
+    0xc1957730, 0x79d01b66, 0xed409f60, 0x68e7a1ee, 0x2bea6555, 0xfcf18147, 0xc23034fb, 0x5fefe54e,
+    0x57f4d6c0, 0x6f060698, 0xade4bc0f, 0x2291660b, 0x23654e1c, 0x52d3cf9f, 0x67bd85b6, 0x98fd0e45,
+    0x62051943, 0xcf326757, 0x23deea53, 0x1cfbd55d, 0x1392689e, 0x393e6327, 0xd1ea1f0a, 0xa165cef7,
+    0x83734556, 0xff81aa75, 0xbbe36770, 0x04459505, 0xf18233b7, 0xd08b2851, 0xc19db1ff, 0x1d8baed1,
+    0x84c54251, 0x8fdf9480, 0x14a3f778, 0x9fef71c0, 0x7fb23385, 0xa7633b4c, 0x6c635e68, 0xf0378417,
+    0x9299f32a, 0xd11a11bd, 0x39db3cdd, 0xf47f128d, 0x583ee582, 0x334abd29, 0xf9c899b6, 0x4b7e941f,
+    0x0fab83c8, 0xfb7949e3, 0x8d91262f, 0x9289c3bf, 0x0277e8f2, 0x545093fb, 0x65cb552a, 0x200d864c,
+    0xcb43bb34, 0x93de039a, 0x99c249d2, 0x056ce032, 0xd846daca, 0x6960b9da, 0x5fd6b042, 0xbb1ddc16,
+    0x432a465a, 0x845feee7, 0x101671b6, 0x2ecd6177, 0x6f8a0e9b, 0x71222f60, 0x9e1170f1, 0x4f723146,
+    0x55164c1f, 0x7b202ef7, 0x1e3bafb7, 0x8d1a7d92, 0x0cbdd982, 0xa6d93973, 0xdfe406cf, 0x65ee11d0,
+    0x65576eef, 0x412c5130, 0x7a43a6ac, 0xd945c1d1, 0x2083cb08, 0xa22e3040, 0x17f01194, 0x7a30f2ff,
+    0xcf0b51cb, 0xa7d5ef74, 0x89e6f914, 0x0dd12f12, 0xadae0f64, 0x722990f5, 0x2f149830, 0x5fcef6a8,
+    0xe1629d81, 0x6b27e841, 0x26db3983, 0x9adbe388, 0x7b96feec, 0xe5b3ad40, 0x666dfc61, 0xc45762ac,
+    0xd2f8d03f, 0xba8770fa, 0xc6828df8, 0x1d1c0100, 0xc38e53d4, 0xf6d12ed8, 0x9326cab0, 0x99e36213,
+    0x89ded28d, 0xc0ed09c0, 0xa25abdc1, 0x7b4f15da, 0x973fa33d, 0x0e9fa4b5, 0x20991fe8, 0xaf0071ee,
+    0xe61d80ed, 0x0e0a7611, 0x89b98bc8, 0x86cc97f0, 0x66deff24, 0x9fb8d821, 0xa19760c4, 0x1356b722,
+    0x32403fdc, 0xb0882b88, 0x8b84ba34, 0x503220bc, 0x594490e8, 0xf00a8e11, 0xf5a2a263, 0x4191c3e7,
+    0x3e51ea34, 0x0056bc05, 0xe65c4d57, 0x00c9dd06, 0x25d650a7, 0x4096f90e, 0x88326a80, 0xeeb49fdd,
+    0x2a8a572e, 0xfac1b66b, 0x5caac836, 0x179ddf5d, 0xaa120835, 0x6d64b689, 0x5ae3c745, 0xf6fd6bf3,
+    0xd5e90624, 0xb79c44e3, 0x2e2ff9fd, 0xf0d4ce0e, 0x2dbae50e, 0xac833e01, 0xfa9bd717, 0x0de5a5c5,
+    0xb6f6f398, 0xd53076e0, 0x2c72b2e7, 0xec310b7a, 0x37c93218, 0xba1f5f87, 0xdd7e960e, 0x0ccc6839,
+    0xe92647c1, 0xd67039fd, 0xaa558f38, 0x88da70a0, 0x387a6d0a, 0x1e52e83a, 0x54f874a8, 0x4790bc4b,
+    0xab005420, 0x5f3fae4f, 0xcd98510e, 0x0ccec2b0, 0x2386f33c, 0x63b41d45, 0x769c079b, 0x67198abb,
+    0x136619a6, 0xdca981d0, 0x3c6aedee, 0xc3cc29ec, 0x7cae1df2, 0x31b8b742, 0x942aca66, 0xe55a1303,
+    0xcea3af1a, 0xd613eb11, 0xecb90778, 0xfcf3f2ed, 0xf0c8657a, 0x5896719d, 0xfb21c47c, 0x773af352,
+    0xdace5aea, 0x6848cec7, 0x352a6d4c, 0xc3da82bc, 0xb6c966e7, 0x533495d3, 0x5abc5b54, 0x604929e9,
+    0x26ce6575, 0x1f69e7b5, 0x7da26816, 0x7cc23aff, 0x41f9a70a, 0x0e9879c8, 0x624e45f4, 0x68a43eb2,
+    0x552b1cc3, 0x3b505922, 0x7638b7b4, 0x58f3fc55, 0xa4b15a26, 0x7808bdf1, 0xff598473, 0xf4a35bcb,
+    0xad0e35a2, 0xb6e7fa9a, 0xa3d35cd0, 0x9af13631, 0x7a238d43, 0x45cd32a3, 0x5000691d, 0x5ee89910,
+    0xd4680d32, 0x507e5326, 0x52b54bde, 0xbd5797f4, 0xefaccf2b, 0xc3951461, 0xaeedc107, 0x96911177,
+    0xfbe294bc, 0x50e185b7, 0x96110044, 0xa97c680a, 0xcafb848a, 0xb68b9ead, 0x707c9cb2, 0x4ee739cb,
+    0x1810da82, 0x3b87e8d5, 0x9645b538, 0x30b7cc83, 0x47bfdd35, 0x9e53da2f, 0xb00d5288, 0x907d0867,
+    0xbac8b573, 0x5302c073, 0xdeaf64f1, 0x1801aa2d, 0x54d2a7bb, 0x6690d3c9, 0x5c3bb57d, 0x5c0f32e4,
+    0x63ae46fa, 0x0c070434, 0x0e372b3c, 0x8c0bd0ae, 0x6370ac76, 0x0074b4d7, 0x2bf7630e, 0x2b64ce5f,
+    0x73bea7fc, 0x49025269, 0x7587c24d, 0x8f2deb36, 0x0d065679, 0xda91b697, 0x1b8ac2cb, 0x5c7632cf,
+    0x871bdd69, 0xaf1c61ac, 0x5203de36, 0x7f0b276e, 0x79ef00ed, 0x758c2349, 0x2eb218d8, 0x84736d66,
+    0x970ac5ce, 0xdc02c93b, 0xff0d2614, 0x94c068b4, 0xdb917f04, 0x848120c2, 0x5eed2dfb, 0x69518a3c,
+    0x3e85f54f, 0x5baa7f48, 0x2f5e8fdd, 0xdecf7b75, 0xfb8f08af, 0xfd514265, 0x5b6b11a3, 0x5e01f5e5,
+    0x865e326a, 0xfcf0e7f1, 0xf471a4e5, 0x925a9e9f, 0xc4683e40, 0xd6d0bf19, 0x09479967, 0x35c36ffe,
+    0x0d667828, 0x64cc4324, 0x7e12411a, 0xdcd3c99f, 0x2ef69e8e, 0xa7c8f2ee, 0xc27ebf43, 0x8e7c75a8,
+    0xb1a305bf, 0x0a374e8e, 0x2da23f3a, 0xae8b59ab, 0x72364d12, 0x0153b0ea, 0x7b727508, 0x92498c3f,
+    0x60750759, 0xc4fcb092, 0x4957a59f, 0x88cc59d0, 0x87471455, 0xd567d0d7, 0xc11c7e5b, 0x79de533b,
+    0x5932b18d, 0x1c60e177, 0xd610a5b8, 0xbbae3423, 0xd1676dde, 0x680ea016, 0x847e2a4d, 0x64278918,
+    0x61a09c8b, 0xf2066a7e, 0xf8daf8bd, 0x2866e6e4, 0x8eff8f6f, 0xbabe7eb7, 0x0aefe676, 0x833ec8dd,
+    0x8072820b, 0xed1b7ece, 0x0b2c1aa7, 0x3bea99b8, 0xe83b5462, 0x7f9987c5, 0x43796a0e, 0x704312c1,
+    0x8946563d, 0xcf8bb618, 0x72a52cd8, 0xaaa5768f, 0xcdc49fd7, 0x97315142, 0x1d912a1f, 0x52d08866,
+    0x0eeb1a38, 0xa9b1fd17, 0x50277356, 0x05f047e4, 0xac4d6521, 0x6c48f1eb, 0xe23bf79f, 0xc4f43969,
+    0xeeac88dd, 0x0179f59e, 0x242da2f0, 0x283c563a, 0xfb9a83c8, 0x632b1a22, 0x0555497b, 0xafa26351,
+    0x3d0999af, 0xc71d8f8f, 0x7a08b2d5, 0xf2fe7e7b, 0x9d3e2495, 0x2428307f, 0xac96e988, 0x16bf64d5,
+    0xb5dbde93, 0xd2b13eb6, 0x905fa9c2, 0xb5c868dc, 0x8dd1d18a, 0xe34a32d5, 0x74144fba, 0xf1d929ed,
+    0x3285b0dd, 0xa4c43e5d, 0x314a998a, 0x55b2c35d, 0x610b3b44, 0x92012b8a, 0xf4c993a7, 0x5152fd77,
+    0xe5a52705, 0x1d96007b, 0x5bfb9f57, 0x3521e5e4, 0xe3eec689, 0x9cc610cb, 0xf9c51c50, 0xccb8096e,
+    0xb3a6bf55, 0x46c571b0, 0x78018920, 0x9248d08b, 0x17526543, 0xaff57b1b, 0xbce281ca, 0x8266f0ea,
+    0xcd669861, 0x6e03b8d8, 0xa5f4c656, 0x1741b455, 0x09812153, 0xc26c54a1, 0x80e80770, 0x3d1d7872,
+    0x110b1ff3, 0x1871f639, 0xfb87cfc5, 0x6ff37a20, 0x840439d0, 0xcff481b3, 0x8f706c88, 0x90c6bbca,
+    0x2d5e0533, 0x8458df83, 0xf6c66068, 0xaa150673, 0xf5c0acb7, 0x07cd555d, 0x801009ee, 0x50926303,
+    0x91795e21, 0xeb1bdf46, 0xe8144435, 0xbfdd5e59, 0xc7d57772, 0x792f2f75, 0x29f037c8, 0x7dd17017,
+    0x983a07ff, 0x8f1d8b3d, 0x3508af1f, 0xe2daa2d8, 0x879302c1, 0xa25b61b0, 0x6561a791, 0x71c86733,
+    0xbd0cb8b0, 0x9e664aaf, 0xd06788a5, 0x2c37e938, 0x171413c2, 0x81965021, 0x6b43e16e, 0xd3f2bfc6,
+    0xeaf7de58, 0x2f536359, 0xc86a8912, 0x9df5b0f4, 0xc95a1243, 0x495a2abb, 0xabfdf145, 0x935d4e33,
+    0x7d220bbc, 0x128e856a, 0xbb27e1bb, 0x2d1edbeb, 0x31670b59, 0x8d8ffaa6, 0x4ec7c2b0, 0xc5dff481,
+    0x8b267e22, 0x183cd11b, 0xd46c4339, 0xec39d560, 0x463cc77f, 0xc27806e7, 0x7c4b4735, 0xde5af4f3,
+    0xc51bb7b9, 0x9c009622, 0x5f9f8da6, 0x4fd0d010, 0x92533929, 0x89d2872d, 0x1f6ea21a, 0x0cddfbba,
+    0x8a812325, 0xcb70772d, 0xb2f8b72c, 0x369fd566, 0x363c7a91, 0xe5da5fec, 0x0b4121e1, 0x122adb99,
+    0x9f95c321, 0xbf2f2b58, 0xdd69ccfc, 0x65034bd8, 0x09e76ab7, 0xba6963e3, 0xdd1069bd, 0x1d6990cb,
+    0x8540d9ec, 0xbbde5715, 0x4515b9d4, 0x5c646b15, 0xa636a22f, 0xb25020de, 0x0e642453, 0x0ff45e99,
+    0x158e5f19, 0xe9244680, 0x4010b246, 0x4135f579, 0x9974051f, 0x6eb0ac85, 0xfe7e9d20, 0xd5cc47c4,
+    0x66986b59, 0xfb671daa, 0x4d217bb8, 0x679faa9e, 0xb07aea1b, 0x19b9b9a6, 0xff688937, 0x8ffb0589,
+    0x028ee064, 0xe152ce8e, 0xce23cb64, 0xe0fc98aa, 0x05de5f04, 0x463fa3c5, 0xb2804f33, 0x62de2865,
+    0x78e740ff, 0xc11c0377, 0x8141a9a5, 0x78d73528, 0xf9906589, 0x87e78923, 0xb529ee24, 0xbe91611d,
+    0xda37a3a1, 0xf9ee4683, 0xe0ad0ff1, 0xb1cc0bdd, 0x8f72dade, 0x2bc93bbc, 0xf284b558, 0x5ddcceef,
+    0x0e14478c, 0xe3d67d0c, 0x13158e48, 0xb658b723, 0xd41630f2, 0x18932b48, 0x3a38023b, 0xbed702e8,
+    0x47b8c2c5, 0xccb50f36, 0xd6e7cc3b, 0x76ae3112, 0xd70c3446, 0xe3a9bdc4, 0x4e0cd7bb, 0x570ca175,
+    0x8af93308, 0xe6a8e390, 0x3fcbeae6, 0x632e1621, 0x2904e9de, 0xc4e142bd, 0xa5253a90, 0x12aa2a30,
+    0x3efeaaaf, 0x9229f237, 0x62421873, 0xc1b1133b, 0x1d8201f1, 0x0fa00c58, 0x563925c5, 0x929e541e,
+    0x8938f0d0, 0xd729f38c, 0x7acaf4d3, 0xec7b9014, 0xffd3c26c, 0x911ab6ba, 0x4f93cf28, 0x0edb6f6b,
+    0xa97db832, 0xd77e4fd0, 0x3c703dde, 0x42275a43, 0x81b5e11f, 0xa64fc0a5, 0x6381bd69, 0x2ff4b5a5,
+    0xebda3844, 0xf7dfa63e, 0xf39961a7, 0x2517bd39, 0x47952d01, 0x47804a34, 0xa7c4bd6c, 0x529597ee,
+    0x9430494e, 0x682e6d70, 0xeb3a70b3, 0x92f00d49, 0x8ac4b1f3, 0x568d767c, 0xa1f043f9, 0x15d06c45,
+    0x0e2f255b, 0x143c9234, 0x0be7fd73, 0x89acaeeb, 0xc9e2ffdd, 0x3c08356b, 0xefe50917, 0x396aff4e,
+    0x100c61b1, 0x0ceb2b57, 0xbe96ca15, 0xc39f7a96, 0x87cbbe87, 0x75ac37d1, 0x8389f38d, 0x90faf85e,
+    0xf705f801, 0xc1b04120, 0x2dcf79ef, 0x974ae588, 0xeff75a20, 0x9168c82c, 0xe54b511c, 0x13c88703,
+    0xf7462bf6, 0xc48787ac, 0x86005970, 0x8bedf365, 0x32bf5385, 0xdf5f8a60, 0x3f1725c8, 0x4f5bf6a8,
+    0x4b1281be, 0xd0a6462b, 0xf32bc50e, 0x2da853fe, 0xe1c5a78a, 0xceba0cbd, 0x75e03f74, 0xd4135c55,
+    0xcebfa33d, 0x6053125d, 0xa94905be, 0x6021e7d0, 0xb65ffc54, 0x58d08c8e, 0x22a2543c, 0x2b2cb4c9,
+    0x1f4e226e, 0x345aafb6, 0x7a2ac120, 0x03f64b19, 0x3ad34ad5, 0x8b578d9f, 0xf2c3c191, 0xa119a4e4,
+    0xa87905b8, 0x583c17fb, 0xbd99268f, 0x94e3a136, 0x5fdbb7cc, 0x6633d1e8, 0x0c680a05, 0xaa30ec07,
+    0xabd8d7fc, 0x3d05eb23, 0x4608be85, 0x28beb764, 0x3e507bd4, 0xaf21cc6e, 0x2cbb0191, 0xe585cbb7,
+    0xef4da12f, 0x4a01fa4a, 0x5f89fd40, 0xec00a3f2, 0xa7167643, 0x8e9ab69f, 0xfb107d3c, 0x5a457607,
+    0x639143e9, 0x948386fb, 0xbf018131, 0x9db33a33, 0x638fa079, 0x06e2a17b, 0xfe756f8d, 0x056221da,
+    0x4c380edc, 0x7a484dee, 0x73e143de, 0xed810b77, 0xdeb91b73, 0xb92c8fc1, 0xf9259c24, 0xa92af11c,
+    0x5b6750f7, 0x90a92d7a, 0x8180e0d3, 0x71b93ec4, 0xa90a592d, 0x13508faa, 0xbf7bc053, 0x340526a8,
+    0x748b6b9d, 0xeca9d881, 0x332488e4, 0x0767d04f, 0x9aaa35c7, 0x06f3e066, 0x81338a75, 0xccbe7de0,
+    0x4e041ef7, 0x3043d703, 0x835b6c47, 0xce2af650, 0xc8a03a8f, 0xb59f624e, 0x4cb6daa9, 0xe8415765,
+    0xf29812f2, 0x7bb5caf2, 0x90f15188, 0x9884a538, 0x319860de, 0x54ebdd5d, 0x08c64eed, 0xfa04f13c,
+    0xbc761808, 0xe42897ed, 0x296f2081, 0x7266af13, 0x6122bc27, 0xd962f112, 0x80faacb9, 0xc908d80e,
+    0xfbe0a144, 0x87471e76, 0x86eb9961, 0x2e8bd842, 0x00230331, 0x9ad23734, 0xdbed3453, 0x1c5e0b0b,
+    0xcc4ba786, 0x91360274, 0xc873197a, 0x5b7f1344, 0x1f2b16f4, 0xa6005e05, 0xb3f1f1ea, 0xe8c2b4fd,
+    0x2a0bf394, 0x345277f9, 0x8e2de2ad, 0x38fe0252, 0x5e58886d, 0x03968dc8, 0xbab453af, 0xfcd47c37,
+    0xd7997ff7, 0xb1032ca0, 0x0ff825ea, 0x81d2b03b, 0x29603f04, 0x6b6fe3cc, 0xe74d7d65, 0xe03f05f6,
+    0xa98ff6f9, 0x27086d0c, 0x3381861a, 0x1a3f5fb4, 0xd8f71136, 0xaa1d34bd, 0x9ef883f2, 0xa0b24fab,
+    0x02f471f6, 0xeb86d1b1, 0x154e1b4e, 0xef9de065, 0x3a203f28, 0xd6f58ca4, 0xc6910a3c, 0xe26a0b77,
+    0x764ce59a, 0xee861f34, 0x7252619a, 0x1f883d00, 0xe73c3e73, 0xc1f6facf, 0x3a135acd, 0x87739296,
+    0x42dd23de, 0x89894631, 0x78dcc92e, 0x024f8747, 0x163598ff, 0xffc44b20, 0xd2399ec3, 0x07880d77,
+    0x5a0fada9, 0x3140a0ab, 0x2ce4e6a9, 0x5096c031, 0x97c08e29, 0x6586b6ab, 0xca2d9bee, 0x7bdd2a24,
+    0xc41d0d04, 0x8811c8d2, 0x08a70013, 0x5b879391, 0x9a2e2dc3, 0x316bbb70, 0x7d20190a, 0x29af54fc,
+    0x167bf22e, 0x0c244a2e, 0x6823870b, 0x7fca62a0, 0x18d11912, 0xc8a2a0f6, 0x29a3e329, 0x7a9e9629,
+    0xbc9587e2, 0x428b5966, 0xcd2c5d4c, 0x447fe8e4, 0xed65e8d4, 0xc827c453, 0x7f64818e, 0xc98d9a7d,
+    0x00000000,
+    0x52714bcf, 0x17076d05, 0x8588ab83, 0x8be66bc0, 0xfdf461e9, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8,
+    0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000001539140867046659344229650003911859914\
+                          26092731525255651046673021110334850669910978950836977558144201721900890587136 */
+  { 0x00000000,
+    0x59fb03d8, 0xb7597b9a, 0xbb430c75, 0xbbc56f06, 0x3050659e, 0x4d530b68, 0x19a8287f, 0xa47ca333,
+    0x239cc0fd, 0x9c9a3afa, 0xbf7dd250, 0x200c1e2a, 0x3b3233bd, 0xbe7ba938, 0xfade6337, 0x10783d1d,
+    0xcae46ea6, 0x506daa41, 0x99ff82c8, 0x6f1d27f1, 0x62a8e625, 0x54927647, 0x325a0a72, 0x29338a27,
+    0x017713aa, 0x60e4e4c4, 0xadd19c6d, 0x98864511, 0xcb82ab47, 0x66061804, 0x81a7c2dd, 0xa80e41f8,
+    0x1604f63e, 0xfd01d010, 0xeff6673d, 0x4e792f78, 0xda37270b, 0x240be412, 0xe075a1ea, 0x845f568c,
+    0x0d803d1c, 0x0e1af960, 0x50d243ca, 0x4c9a5236, 0x8c0de619, 0xa4ffbdf0, 0x0aa36fda, 0xb1b7289d,
+    0xfb5e989d, 0xbb4d22b9, 0x8a854bc8, 0xaefdb4dc, 0xf7334fd1, 0x29372d90, 0x6e2a2734, 0xf0c8949c,
+    0x02e50c56, 0x53e02f08, 0x58afd4fb, 0x28f2190d, 0xe49450df, 0x39a7b7d3, 0x344d323b, 0x1cc6e205,
+    0xae8e83d8, 0x41403a91, 0x0ecb4113, 0xd48c20f2, 0x8f652f17, 0xf18bbb21, 0xe6acad89, 0xc5482482,
+    0x4bbaa807, 0x0e9b5752, 0xe5a387ca, 0x210aca7f, 0x4dc3e317, 0x843747f6, 0xe379f311, 0x1b3c71e9,
+    0xb6494df6, 0xef911890, 0xee315245, 0xe7884016, 0x23a26a9d, 0x4f02f0b6, 0x8725d9c3, 0xb81dd3e4,
+    0x46bab35d, 0x104ee5f2, 0x8ac30574, 0x9c0c43fe, 0x76665380, 0xf46a93e9, 0x06c8cce2, 0xc4fd3c13,
+    0x7780e3c2, 0x38a42692, 0x1c6fd7ae, 0x1b8e6a67, 0x553d48c8, 0x20afcaa2, 0x99285d54, 0x187179bd,
+    0xe606388e, 0x4652ffa3, 0x1db30247, 0xb38b1390, 0x6bb0a342, 0x840914fd, 0xafb7ef82, 0x94bfa232,
+    0xc6326dbe, 0x28baac9f, 0xe1edde30, 0x642e8ec0, 0xa1738df2, 0x896ea87d, 0x05648b1b, 0x3537aa6a,
+    0xbe2e9c00, 0x8c108298, 0x8000c49d, 0x4b87b9df, 0x90206516, 0x50cf44f6, 0xb02952e1, 0x22c6046a,
+    0xc8780479, 0x7e3d4bdb, 0xdee8229e, 0x4db1bed4, 0x0877f042, 0x03f25385, 0xa6777a16, 0xd748180b,
+    0xf28aceb7, 0x278eb7e6, 0xef05a68e, 0x1858054e, 0xb4d57246, 0x6969c2c6, 0xe0f10e71, 0xb24b5a41,
+    0x93ab5ab7, 0x999d7ba7, 0x8021cac9, 0x30158f62, 0xd0de6682, 0xbb1bc3fa, 0xb2b87bc2, 0x3c491d65,
+    0x9fb1c000, 0x2ce98101, 0xb5934c1f, 0x2953442d, 0x6433a9c3, 0xadecbbb0, 0x97fa0995, 0x4ee14ade,
+    0xff76d384, 0xb66324e9, 0x727ef6d8, 0x48395222, 0x61479025, 0x907bd8aa, 0x427b50dd, 0x2e2d29ab,
+    0x591cdb07, 0xdf63abab, 0x6a69b3e5, 0x2685141c, 0x586a8f9c, 0x83419425, 0xab0a7565, 0xb5dad122,
+    0xa11d7224, 0x6659956c, 0xfc1213cf, 0x8b6d02a4, 0x8cb7e556, 0xa790638d, 0x69e32b58, 0xd06cf6ef,
+    0xa1cfe998, 0xda38c524, 0xf1b2fb9c, 0xb99e776e, 0xb19373e3, 0x75f3a10a, 0xfe7a2f17, 0x9293de02,
+    0x67854aae, 0x11c9cddf, 0x39ef5767, 0xc7bc7845, 0x3aed7b9f, 0xf249197c, 0x39d2069e, 0xe259c9e5,
+    0x6b007e24, 0xd363eeca, 0xa5f90ce4, 0x23831cf6, 0x2011df73, 0x9423d84c, 0xb260d402, 0x1cc4688a,
+    0x6685d2d2, 0x783eef40, 0x55422e38, 0x65daf4f9, 0xf428c2e3, 0xeaf9bd66, 0xe8ba2946, 0xac54d925,
+    0xfbe9c963, 0x184ef0b8, 0x041215ed, 0x4a6bab7e, 0x0227c789, 0xb5e04cbc, 0xee6c009f, 0x8b820e13,
+    0x85f6c769, 0xa3c9c05c, 0xec0d653e, 0x039117a6, 0xaa8c07bc, 0x52b46105, 0x8de96feb, 0x60c57bf1,
+    0xe0339d84, 0xe974237c, 0xecf1da57, 0x7c475f77, 0xd58cc298, 0x35570042, 0x0921003a, 0x1cc09cac,
+    0x66f0cb49, 0xa290f242, 0xcd3c9b9c, 0x3e4f5c9f, 0x05825611, 0x61092f95, 0x75772a07, 0xe5715f11,
+    0xb127bb69, 0x659eacf7, 0x083dc4a4, 0xb6a2d158, 0x3069f95b, 0xcddfa31f, 0x8452c70c, 0x807852ff,
+    0x212c76a7, 0x5057029a, 0x37eb0999, 0x258ee7aa, 0x53b9bb4d, 0xe253c0ba, 0xde3aefa9, 0x5757dcfb,
+    0x4035e3dd, 0xd3c93a6b, 0x0ab90fd8, 0x6a32c28f, 0xbe016803, 0x9aa8e0fc, 0xe5590255, 0x4eea9568,
+    0x0fc7e57e, 0x7e31c94a, 0x4c23fb3c, 0xff68bb0c, 0x8fa1fe5b, 0x7a4df865, 0xca96fb07, 0x58e0d1ad,
+    0x5334bd3a, 0x3f3bc432, 0x60dd2b4b, 0xab9b3850, 0x4be1a8ba, 0x97359f9d, 0x05f539ae, 0x1a22f35f,
+    0x2bf01466, 0x2596cabc, 0x105033c3, 0xa45ab831, 0xeb308e65, 0x0961baf4, 0x8481f6f6, 0xff515744,
+    0x329cb1a8, 0xe2de49b3, 0xa8e64d19, 0xa14506b1, 0xd6466839, 0x6649fb71, 0x2a81d6d8, 0xfdf05b93,
+    0x3140324f, 0x05df1df4, 0x77bff09e, 0x801304dc, 0x6053937e, 0x834660af, 0xe99c4a6a, 0x9415f461,
+    0x6e3e96e0, 0x3dfecc53, 0x2ef811de, 0xcb11d6dd, 0x9b5520aa, 0xcbed4436, 0xe4767981, 0x200e8a00,
+    0x867a7cf9, 0x02606985, 0x16d66381, 0x7881fcdb, 0xd33a6bb1, 0x918ab8b1, 0x6a62eaf3, 0x7e1bb3cb,
+    0x34370b19, 0x4737b143, 0x1a1b0a98, 0xcac8318f, 0xda22de1e, 0x17f66043, 0xd09fe1e5, 0xaaf5c087,
+    0x820bc15e, 0x69918949, 0xb1e63f20, 0xbcf4802a, 0x4e7f06d1, 0x39c29ae6, 0xbeb40e75, 0xba61bed8,
+    0x9120cfde, 0xad13e656, 0x86c45fea, 0x567910d6, 0x0b207973, 0x9b1dc671, 0x161fb572, 0xce95ec6a,
+    0x5978cc40, 0x61ba0355, 0xaf3e1263, 0x33aa659c, 0x0233ea82, 0x477fa871, 0x434c0481, 0x212d2514,
+    0xef488753, 0xf6c6b00b, 0x4331430e, 0x63d8feda, 0x817259e3, 0x542622df, 0xaa305275, 0xd061d084,
+    0xa09483af, 0xb454ec78, 0x9f575c1a, 0xbffebdd4, 0x5f388dd3, 0x1b311649, 0x21c1255e, 0x8528dbc8,
+    0xc94a06de, 0xce280d69, 0x825556eb, 0x5f44bd0f, 0x05901e34, 0xe534fa4b, 0xd7ff805e, 0xc8f19249,
+    0xfd0f50a9, 0xf30ce80e, 0x54541999, 0x7990ac96, 0xf99525ce, 0x5645cf3b, 0xc9b745d0, 0x65dbf4ee,
+    0x2f36a2c4, 0x6fe7379b, 0x9c0bff5a, 0xac1c1a7d, 0x9e57c58f, 0x0672a07b, 0xf21b0627, 0x5771ff3f,
+    0x39b07b87, 0xcdad3d99, 0xf8d6b36b, 0x1863ff7f, 0x3ce4637b, 0x6b64f42c, 0xfa389f21, 0xd0be81a2,
+    0x66437599, 0xac50ce17, 0x92e1bc21, 0xe8f8cec8, 0x66fdcf96, 0xc3b20eda, 0xae4d5afd, 0x8092b666,
+    0x4d148f29, 0x7568f688, 0xa949163c, 0xe8d8057b, 0x51d7050b, 0x7022400c, 0xc131bd18, 0xbcf17712,
+    0x07c7e52a, 0x6fa98494, 0x809e5dce, 0x9f033848, 0x8d2e5dc1, 0xcdcc2117, 0xf2834d1f, 0x8f731adc,
+    0x4e59dd63, 0x2a972859, 0x9b0de43c, 0xf032f340, 0xaef0bd63, 0xe811633d, 0xf035801c, 0x820f5abd,
+    0x8f565c95, 0xe951ecd1, 0x7b3f32b2, 0x51d24661, 0x65966126, 0x507d148a, 0xc2d42dd9, 0x24e7c920,
+    0x0a6e8284, 0x49471893, 0xe1e8e9d6, 0xeefd1f3b, 0x6fccd636, 0xd841c598, 0xfa07f88f, 0x88f4c1bd,
+    0x99482634, 0xcc472599, 0x299f0cd2, 0x1d932742, 0x41b9cbbe, 0x65c93034, 0x37cc092b, 0xbe05ccbe,
+    0x8f1d8ac9, 0xc4bb37ef, 0x597ec58f, 0x900f1084, 0xfce29ec9, 0x6c9bbef4, 0x4de334e9, 0xdc6c8b00,
+    0xd6c96cb1, 0xc922bd8d, 0xdbd6af72, 0x98ef374a, 0x5eeb3a8d, 0x72dec805, 0xe0dbb3a3, 0x7f9e5592,
+    0x3d6dbf45, 0x7b1166d8, 0x524f26e2, 0x14ea7bbb, 0xd267e191, 0x3f43633e, 0x15b70ef2, 0xc24908eb,
+    0xe67757ae, 0x9bb64f61, 0x8e2f36dd, 0xd0253916, 0xb692ecb7, 0x2f651c79, 0x46640370, 0x2759bdb4,
+    0xd1cb6f22, 0x7d8acb4f, 0xdaf81139, 0xc18a002e, 0x1c732032, 0x7d05106e, 0x9728d6ab, 0x5ed5557e,
+    0x33b8e724, 0xdf9b385f, 0x444194a9, 0x8be0b4a7, 0xe996620a, 0x4c759091, 0x1800027d, 0x31b0275e,
+    0x262925cd, 0x2eec6b46, 0x5dbcf0a6, 0xc2eceb66, 0xca5f8660, 0xfe02aefa, 0xd0319d67, 0x52a5f02f,
+    0xfacf8eb5, 0x7c82d17f, 0x13d718eb, 0x93e2ba3f, 0xad9d38e4, 0x247de395, 0x638fbc4a, 0xc62a77eb,
+    0xd327573d, 0x33b65ca7, 0x6b159324, 0x83d532b0, 0x568542e0, 0x3b7c28b3, 0x5f0e9abd, 0xd363063b,
+    0x53540faa, 0x426d7c4c, 0xda30c2ac, 0x73757f04, 0xfcc6fb70, 0x98093a02, 0x2475a9d1, 0xf11978b7,
+    0xdda31b8d, 0x7febc311, 0x7924ed29, 0xd9295c89, 0x1ca3e34f, 0xd7c9775b, 0xc176086e, 0x1cdddf31,
+    0xf7319b3d, 0x3ee872f6, 0x94d9a189, 0xfec55d02, 0x95c4cbdf, 0x48f219bd, 0x325eed7b, 0x28c28a6f,
+    0x584c7e0d, 0x0bd49698, 0xb7bf7c5a, 0x7cd3e962, 0x53e77f76, 0x0025c4e2, 0x57646383, 0x6c22d552,
+    0x9373ae14, 0x5e3b1f5c, 0xb4cac7d9, 0x18e892f9, 0x103ed50b, 0x02e2d8ef, 0xdb51ceb3, 0xebcec10f,
+    0x0509ec03, 0x19e316f8, 0x92927118, 0x117cb303, 0x0b0133d5, 0xf39cc847, 0x53016280, 0xc90f1021,
+    0xc9867d71, 0xb8be4043, 0x05805c16, 0xafeb74cd, 0x30244e97, 0x72e10d6b, 0x298a0f6d, 0xd95a3345,
+    0x750f6539, 0x20bd57a0, 0xa7feb0d3, 0x2e599e22, 0x7202327e, 0xac5407e6, 0x8f8c3ee9, 0x09dbef9c,
+    0x0b224794, 0x0e9b3e2c, 0xa15e648b, 0x6e8ebdf8, 0xfad99584, 0x4c939cbd, 0xdb7fb0a0, 0xdfadd265,
+    0x5576e326, 0x4ca15cae, 0xefa9b335, 0x3c3cb192, 0x8b6288aa, 0x02e71b93, 0x8dafefa9, 0x51d6255c,
+    0xa681c362, 0x31d2e6f9, 0x908f5c65, 0x414addcb, 0x1de6096b, 0xc7d284a7, 0x65558eae, 0x28e2b3d1,
+    0xe2376c16, 0x7ccc8ac3, 0x427dd46b, 0xab56c8cd, 0x29eab11f, 0xc7c773e8, 0xcd8c4623, 0xa26a1143,
+    0x70c6f859, 0x2029a3a5, 0xf71d87af, 0xdc4b1439, 0x3bd13ab6, 0xb9d5a283, 0x217d61a3, 0xcb2b9d04,
+    0x42c470d3, 0xc94ca167, 0xa0731f31, 0x5272ce3d, 0x7900af75, 0xf50ab7bb, 0x0e8f072d, 0x88601326,
+    0x798279bd, 0x763e8523, 0xeb93cccb, 0x44b0c3c5, 0xfd84bd2f, 0x5fcd0050, 0x4ac65c4a, 0x37b70139,
+    0x586b1ad3, 0xa2cfba7e, 0x16f8a3c4, 0x49811726, 0x9528e3fd, 0x41062918, 0xe818b615, 0x2df504c1,
+    0x13288880, 0xa834fc6b, 0x0e5782d8, 0xc0bf1f8e, 0x4b6a983d, 0x4e26038e, 0x2cc9f299, 0xb8ffaa73,
+    0x5c412a51, 0xf457484c, 0x7ad15633, 0x09b181b9, 0x7a490ff2, 0xf4502767, 0xbf697e87, 0x75d6f29d,
+    0x1c85ae86, 0x01027276, 0x52685eb9, 0x3bbbdbf6, 0x11b73fa8, 0x2fb668a9, 0xb2eb9b21, 0x0316c706,
+    0x8bb763e6, 0x48ac8f7b, 0xe6e1c8d9, 0x51b7d7b5, 0x69bb15e7, 0xc3d9de2d, 0xfe74e7e0, 0x5f8f20d8,
+    0x77c3b61a, 0x5fd5ee11, 0xbd7dc62f, 0x5762c6b7, 0x2d423891, 0x4dbdd094, 0x69171142, 0x8334f40c,
+    0xea250452, 0x10fb7520, 0xa229c824, 0xe90235a3, 0x76afe83b, 0x5ce127ed, 0xecc49bba, 0xb42eac85,
+    0x69cf0b15, 0xb98b36f6, 0x3a7f0169, 0xf5458902, 0x4032db50, 0xd09edeb4, 0xfbe420ea, 0xa724fc28,
+    0x8b1437b8, 0x27fd35e6, 0xe1742a8f, 0x0c987e80, 0x3a4d5d72, 0x98583718, 0xd9b4669d, 0x18dc1b21,
+    0xf35a3a1e, 0x581ee720, 0x7bea2393, 0xda7df167, 0xce0c143e, 0xf931fe70, 0xfd761a62, 0x9f95d544,
+    0xa99f00f8, 0x9b88ece4, 0xcaffc722, 0x3ee70291, 0x8d467f8b, 0xf6e9ee36, 0x9cc68f7f, 0x7d9ee5e9,
+    0x084e72c6, 0xd7501820, 0x7eb273b4, 0xc1e1e079, 0x7fa3e623, 0x07bb432b, 0xba727b83, 0x050183a5,
+    0x7d9fa9b8, 0x43b789b1, 0x5665d8c4, 0x634e64b7, 0x3a678826, 0x6883c97b, 0x24af7d43, 0xca6e65be,
+    0xc987ab9f, 0x31d077b7, 0xd54f9daf, 0xf69bc8c6, 0x90c68029, 0x99a92cc4, 0x22b5ce00, 0x064d15d0,
+    0x3c839db2, 0x705a374e, 0x499037f4, 0xbcf670a7, 0x3cdc04e5, 0x42410fb0, 0x908cfaee, 0xcac6ea76,
+    0xd3e985bf, 0xafdd7b0c, 0x42039360, 0x43a5bb33, 0xf6a7276c, 0xdc109754, 0xf9ff9f15, 0x01f92b44,
+    0xccb99efa, 0x79c28733, 0xfbec380f, 0x03315cc5, 0x6fe924c8, 0xcf74324b, 0x985b9326, 0x9a2f734c,
+    0xa36be147, 0xc93c063a, 0x0dcb3ea2, 0x7571b604, 0x33c77f28, 0x40b7538c, 0xc341c5e2, 0xbb882caa,
+    0x588c0bf4, 0x3d04b798, 0x136cbf4a, 0x5276ae02, 0xb98e4548, 0x2c74468c, 0x49fccf1c, 0x43779e13,
+    0x65fc7c60, 0x48837020, 0x87cf0cda, 0x3e7f5384, 0xd170c308, 0xde337963, 0xad94baf5, 0xe9b3b421,
+    0xa09243a2, 0xb14a73b1, 0x6d3a43a9, 0xc8d6ba37, 0x7f94b300, 0xfa2419b0, 0xa5116400, 0x3f057d87,
+    0x53403107, 0x7d4fae76, 0x2e9a0618, 0x10d60fc9, 0xb774d1ce, 0xcc9a618a, 0xeddec5ce, 0x5d12c26d,
+    0x3a439d79, 0x57c8ccf0, 0x44ba387f, 0x0ef55fc6, 0xfaa09823, 0xdd64b49f, 0x44441044, 0x3c1e51da,
+    0xcf33ef35, 0x011ed4a5, 0x181e5ecc, 0xf745c309, 0x3b366b30, 0x3285ca15, 0xdcbb7948, 0x8fcbda22,
+    0x93c3c4e5, 0x630c09e9, 0xc7cdf4af, 0x6585c0c6, 0xd47c87df, 0x3b0feeef, 0x64ba92cb, 0xb1e82fdf,
+    0x6163e8ba, 0x5c218616, 0x6ba67cb6, 0x508c0abc, 0x8992871c, 0x3dcd8561, 0x87d307d3, 0x811d746a,
+    0x60264885, 0x66901910, 0xcc1f8c08, 0xd5bd0cbd, 0x3e6ba5f3, 0x608aa014, 0x43e06d57, 0xb396087d,
+    0xaca1ffe5, 0x8e9a1148, 0x875cf432, 0x4697ce00, 0x6ada593d, 0xbd470c2c, 0x8ed69215, 0x3d660959,
+    0x427c00fe, 0x75ceb5ee, 0x4f0e71f1, 0x5be3f2d4, 0x78a48890, 0x72ee8447, 0x1116222a, 0x7d76bfe2,
+    0x8b69d09c, 0x1cf8fa66, 0x48222e34, 0x880e773d, 0xba9213e1, 0x609c4f50, 0xe99abe9b, 0x8cf663e8,
+    0xb11e1b48, 0xea1cfeb0, 0xaa95d811, 0xc5d796d0, 0x4843c8f1, 0xdd359155, 0x0bc10dfb, 0x0878a92d,
+    0x49e431fd, 0x379ebb98, 0xa1394644, 0x45845879, 0xf0c4aa38, 0xa8a0dc20, 0xcc0de136, 0xda734e5d,
+    0xa2c59c5c, 0xd5a8cf11, 0xe855ff36, 0x30939083, 0x79d71c01, 0xb11778b5, 0x59ff279e, 0xd636c489,
+    0x13ac346c, 0x2a6eaac7, 0x41f4e935, 0xe16b468c, 0x5992bac4, 0x766fb3d5, 0x7a1a4fec, 0x4c860fc4,
+    0x6e944e79, 0x2ad3b949, 0x0fec7e6b, 0x2d43a6ec, 0x632b5d43, 0x491e3a08, 0xeb0226dc, 0x9b48a716,
+    0x546b5c2b, 0x2bc56c0e, 0x27d6f5bd, 0x84617f5b, 0x27542dd6, 0x82504ef3, 0x0bab491e, 0xba902b43,
+    0xcdd04a53, 0x5532e3d4, 0xe1a922de, 0x405a74d4, 0xf953e6d0, 0x59fbfe5a, 0xdec6f787, 0x27d67710,
+    0x4abcd2ba, 0x4038a96b, 0xa6ae4829, 0x98f90299, 0x5440258a, 0x4251d549, 0xa6511e79, 0x3ad9c05a,
+    0xe1d982dc, 0x5530179b, 0x4e254e88, 0xc8fcb473, 0xafd64c41, 0x2b1275cc, 0xd353cbe4, 0xd8a620e1,
+    0x825127f6, 0x859f13da, 0x0155947b, 0xc3e5de88, 0x808b3537, 0xec834894, 0x8d0adce7, 0xc826640b,
+    0x9a92300d, 0xc7bd9086, 0xae79ec0c, 0xb65427eb, 0x0a8a26fb, 0x0afc2190, 0x1b5e2f5e, 0x1fbd1222,
+    0x2e67a861, 0xc6bc01cf, 0x0daddc37, 0xf779e643, 0xcbd24268, 0xd51b0d32, 0x6a44c5ed, 0xbb611cdd,
+    0x379e7759, 0xf852f05a, 0x9115a899, 0x0fbebecf, 0xa924f954, 0xd98f552e, 0xa52b6359, 0xaf03148e,
+    0x0030fe4f, 0xdc3d39de, 0xdfafa063, 0x922d65a9, 0x65867116, 0x4b9c83cd, 0x758f0846, 0xa09ebbdb,
+    0x00000000,
+    0xa938a5e7, 0x8b83b682, 0x42c455c1, 0xc5f335e0, 0xfefa30f4, 0x62dc92a6, 0x039098a5, 0x664d2754,
+    0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000769570433523329672114825001955929957\
+                          13046365762627825523336510555167425334955489475418488779072100860950445293568 */
+  { 0x00000000,
+    0x8f6454ee, 0xc217c7e2, 0x9f3b6083, 0x2c27fe9b, 0x23c3df31, 0x26e61201, 0xbebf165a, 0x13833eee,
+    0x9e367ea7, 0xccc3ad73, 0x4ee83610, 0xa4f57e26, 0xab7b0c41, 0x32c139b9, 0xba3b581e, 0x4e9b83ca,
+    0xc75c3162, 0x8ac716a2, 0x2f158112, 0x00fcf7eb, 0xb99bb969, 0x3a9598f0, 0x2ed55006, 0x95dd2565,
+    0xa492d0de, 0xd65c549c, 0xa030b8b1, 0xd1fbe7f9, 0x9d46d509, 0xf4105a32, 0x16976c0a, 0xf065cf3b,
+    0xf45c8cf4, 0x19e284bb, 0x101e58c8, 0x36ea6109, 0x1b2f332c, 0x58fe2f2d, 0x90c32b38, 0xf75a1806,
+    0x3966aef4, 0x34ccc483, 0x797a2162, 0x5598b1ad, 0x6bf4011f, 0x310d1396, 0xd6da552c, 0x6f552cba,
+    0x6fd79a83, 0x65880009, 0x0dd93fcb, 0x9df0056c, 0x08f85632, 0xa94b337f, 0x2f05f09b, 0x7157e9be,
+    0x3d0e5941, 0xa7a0ea0f, 0x19a683f8, 0xfda4d65a, 0xea6e17c3, 0x1398b7a2, 0xf7874748, 0xaae61326,
+    0x2d404b40, 0xba662b57, 0x57d9d0dd, 0xa89d0a4b, 0xdbd22b46, 0x6ab44561, 0x9bd6ccf8, 0x2770f4d5,
+    0xcb71190f, 0x6e6ddb34, 0xc68235b9, 0x7654d1aa, 0xf44e865f, 0xf5e25165, 0x071cb832, 0x0166768c,
+    0xc7741693, 0x02c0eae4, 0x480d6bfc, 0x0d8b6e76, 0x24026f1c, 0xca63ef22, 0x3bea36c5, 0x68ca63f4,
+    0x525aa30f, 0xff8dce47, 0x063724ae, 0x49d5ef58, 0x3dfc1823, 0x2f2dc2ed, 0x20be7b3f, 0x0932a6e5,
+    0xfe6c928c, 0x1e399334, 0xc694e7dd, 0x35352f86, 0xc7fb85f4, 0x0cfd9811, 0x1fd980b3, 0x8cdf91c3,
+    0x50617916, 0x5800b53a, 0x6b95c803, 0x1fbc94ed, 0x184a9990, 0x890fac7a, 0x4c996d90, 0x403f61fe,
+    0xd582b258, 0x1fcf12e5, 0xa27732ba, 0xa1498062, 0x3e8f68ef, 0x855e8ee2, 0x5b7edead, 0xd1e1ed5f,
+    0x7fe433f4, 0x2d9ad44c, 0xdc689592, 0xc0ed9e36, 0x842bb345, 0x82ee3951, 0x088c8b8e, 0x76dc96fd,
+    0xa5e6344b, 0x99ca832d, 0x6f77ab34, 0x8df28210, 0x9ac543ea, 0xd5d85206, 0xcb1ae11d, 0x275870b4,
+    0x4463d689, 0x122d1fa5, 0x66e7c3e4, 0x511114de, 0x0d0fd832, 0xfb3a6907, 0x64a7a8f7, 0xd7cf2a32,
+    0x4ce3f207, 0xffabc0c3, 0x45099ce6, 0xf0e07bc2, 0xe1c217dd, 0x7b4c8327, 0x4d157531, 0x251333d5,
+    0xe787a744, 0x085203a1, 0x79886016, 0x05183e90, 0xb0c38112, 0x97c3651f, 0xdf2cbd19, 0x40882bcc,
+    0x5ffbdfc5, 0x54b8066a, 0x81bb282f, 0xbeff162a, 0x8a2f9e74, 0xa040d315, 0x98014d60, 0xedb34729,
+    0xe9802232, 0x82064dd6, 0x12baecba, 0x2dc3a6a8, 0x8e7b5db8, 0x5ae88dcc, 0x821abf56, 0x2183cd09,
+    0x4ff9524a, 0x8097be26, 0x1ee9b204, 0x83243321, 0x72953a67, 0x3bfe7f6a, 0xd336b9b3, 0xbea7fcdd,
+    0xc60fb2f9, 0x0af3ac02, 0x55e4a082, 0xb5514939, 0x7322abe5, 0x22d88f1b, 0x90a78f7c, 0x2c8cc59c,
+    0x79037380, 0xa47ff945, 0xe0e8db2c, 0xe7152466, 0x15a66bd3, 0x3778dda9, 0xa9d8f592, 0x6b1d51c4,
+    0x0767d969, 0xdd86e0c5, 0x22059383, 0x510e1ee6, 0x1e268395, 0xa2e9c43e, 0x57daefe3, 0x2b634db0,
+    0xfa99b01d, 0x23558b41, 0x96594783, 0xa42c21a0, 0xa0634a04, 0xabf4af96, 0x5f90c3b0, 0x00c55c60,
+    0xcf70498b, 0x6a5f8da5, 0xc622d595, 0x5a6b850c, 0x2b95bfef, 0x1b5455b5, 0xd77d2665, 0xb11d7955,
+    0xe01baa10, 0x6632f383, 0xb38c7341, 0x0a97fc8f, 0xce851ba8, 0x3ddf0895, 0xf9909d0a, 0x6302f089,
+    0x34d2194e, 0x6732e3db, 0x924b5c94, 0xab81af73, 0x9187792d, 0x4c001ff8, 0x0485f021, 0x817095f3,
+    0x6ab08173, 0x87ce78a7, 0x7a261a0f, 0x3340e3be, 0x0bc19fe9, 0x39467aee, 0x25ab21ac, 0xdee08e4b,
+    0xf13ec0a4, 0xf9fbc206, 0x12f9efef, 0x55c3a4c8, 0x1248fbe6, 0x64796429, 0xdf05c29f, 0xbfb4cd00,
+    0xbf0d6c28, 0x557c9cb0, 0x94dfbec5, 0x0f300c05, 0xb3e0587b, 0x666949a6, 0x7bc6c280, 0xfdc41a68,
+    0x11fbf8be, 0x9167642d, 0x8a76b761, 0xee00aa2d, 0x57816e76, 0xcd5ade4d, 0x6f0ae85c, 0x0a6bc3a2,
+    0xc979ce94, 0x2b32c846, 0x86fcfdf0, 0xce859a90, 0x95a23e6f, 0xc1c5d9d7, 0x6a7fcb68, 0x77d2328d,
+    0xb74b5469, 0x3db1bec2, 0xf4bc7282, 0x4c824fdc, 0xe6c38b7f, 0x904a41b0, 0x78b75753, 0x14112ed4,
+    0x746c8261, 0x8bcfa796, 0x82ced9a1, 0x7e3dc553, 0x757628ea, 0x1c8f0c78, 0x2fc9f8c8, 0x929182a7,
+    0xaec29bcf, 0x77666906, 0x03f93109, 0x40bd2a2f, 0x9533367f, 0xf36966ec, 0xa00b6d1f, 0xceac6668,
+    0xc2eceb55, 0xac26a73c, 0xe9406e32, 0x829b18ae, 0xe1bf8e2d, 0x40e8f453, 0x3ba9888f, 0x2ea5cfff,
+    0xf927e177, 0xcb335466, 0xb07b33f3, 0x6e131682, 0x7fc27f95, 0x2e825691, 0x0baac5df, 0xd1c161ee,
+    0xe71226f5, 0x76d02a79, 0xc3a719e1, 0xa461e7d4, 0x35e44004, 0x3260d41d, 0x7a0623c5, 0x87959773,
+    0x689bafef, 0x7a60ef2c, 0x375ff858, 0x043a6262, 0x87239679, 0xa0992bd6, 0x93fd641c, 0x1614e4d8,
+    0x614f1b0d, 0xfec0da10, 0x3e290ed6, 0x6f3860a6, 0x79b80ddd, 0x81b9aefb, 0x41379c1a, 0xedcbb1de,
+    0x510c5771, 0xa5eeb4dc, 0x37ad54b3, 0x1b63777a, 0x769b7995, 0x98756716, 0xc5bf4052, 0xb7e7fd84,
+    0xbb15c95f, 0x24db8c70, 0xc0ea3334, 0x3db25824, 0x1dc47eb0, 0xb3d48b62, 0xa5f89a6d, 0x918188e0,
+    0xcdec0941, 0x2ef0ae8e, 0x11d85bab, 0x380cd5a2, 0x2fa9b362, 0x0a43c0de, 0xca3c3fd1, 0xc947f694,
+    0x658eaf2a, 0xcea74a1f, 0xfca4ef1d, 0x3821a1dc, 0x62af6416, 0xcd3963cc, 0xeb26f915, 0x9bd745c7,
+    0x32c980a2, 0x0133899e, 0xf5a7e744, 0x21812998, 0x587b5c15, 0x441c8e50, 0xbc9a7ccd, 0x5e7b412e,
+    0xa3baa6fd, 0x89f6b7c6, 0xcc944ea5, 0x89a11ec2, 0xb5991d3b, 0xdb1eea3b, 0x09e9ef70, 0xda1c1dc9,
+    0xa4323763, 0xeacd5f8d, 0xe111de6a, 0x1ca327eb, 0x76919e19, 0xe8ba8e79, 0x29fc1592, 0x3faccaf1,
+    0x85e50692, 0x9ddf0a06, 0x033e0ba5, 0xa5748dee, 0x3a5eba71, 0x5e048482, 0xfdb7d99b, 0xe03d8c45,
+    0xfd0aa6dc, 0x1c68a1d4, 0x9856e4be, 0x138e573b, 0xc5f803f4, 0x3960321b, 0x9ebabfa9, 0xa0a3e6fc,
+    0xd67bbe01, 0xafbd8068, 0xaac05ef3, 0x33f504e3, 0x34c97aaf, 0x165f0798, 0x31dbc520, 0x55ba8ada,
+    0xae4b7810, 0xe1ccbcd3, 0xda6edde8, 0x94a406e2, 0xfd3b3d4b, 0x39093fe8, 0xbef206fa, 0x66673d67,
+    0x12f9349d, 0x704532e4, 0x9f7b696e, 0x52387459, 0x7ab00f8b, 0x5aaefb34, 0xaa5bc1ed, 0xc2170ff8,
+    0xb9b6e145, 0x1ed71bce, 0x1b1a01ab, 0xcd7f7389, 0x9fd9a148, 0x7f03549c, 0x56b0eaf3, 0xa10420f3,
+    0x6f84e33f, 0xd7b2b3b3, 0x564f48bd, 0x7676f944, 0x543c3740, 0xb817ad57, 0xe7e7e963, 0xfa9e86c3,
+    0x7d94a734, 0xaeaf084d, 0x9eddf1b5, 0x127dfa8e, 0x7cafc25c, 0xfb7f01e6, 0x682c7871, 0x7585687d,
+    0xaf30714f, 0x849f3e5c, 0xe9b611d4, 0x532ce659, 0x455d18e0, 0xdbade78b, 0x44ab520b, 0xab7302c3,
+    0x47da9f4b, 0xed505199, 0x9a2a0609, 0xb503a989, 0x9d2d871a, 0x910baacf, 0xeff91e84, 0x27eccdb0,
+    0xdc7832e4, 0xd61b5073, 0x27b090de, 0x1f71baae, 0xe6c6091a, 0xce1612a4, 0x8472f6ac, 0x62008999,
+    0xc1e57ee4, 0xf617874b, 0x85be5e6b, 0x15f7b529, 0x7be545bd, 0x3dee3b74, 0x2f1c7ec7, 0xbb763314,
+    0x3d73741b, 0xe6e1cad9, 0x086d2fcc, 0x935e526d, 0x905f38a0, 0x6229b013, 0xb9defa38, 0xce0970a6,
+    0xf69631b1, 0xbbb75ffc, 0xeeb884db, 0x68dc89e8, 0x3517b185, 0x87c6ef00, 0x3675395d, 0xe0753884,
+    0x5e9071bc, 0x36036f8e, 0x6135c8de, 0x3ccb681c, 0x8670b2f9, 0x9a894f25, 0x0fceffd4, 0x6589cd4d,
+    0xb3516e39, 0xb112a5e4, 0x36adf541, 0x0dddc356, 0xb1bdecb8, 0xe53c3db1, 0x3fea4983, 0xfc80f4b2,
+    0x4143975b, 0x2a275f65, 0x4f442eff, 0x49f3f0d9, 0xdd15b699, 0xa9ad6731, 0x81f53a66, 0x742197af,
+    0xefdcbf1d, 0xf02dea31, 0x819b9f67, 0x3e81c02c, 0xf6e3377a, 0xe25f9e00, 0x3a10cfb7, 0xd9954123,
+    0x5ac73fc9, 0x90efe143, 0x2c2a7ea6, 0xa035ffa1, 0xf5b5fcb0, 0x6b81caba, 0xece89cea, 0x5ed7e42d,
+    0xee7ca2c2, 0x521dfe1f, 0x019539fa, 0xc8381a50, 0xb9e2850b, 0x70105649, 0x0110159d, 0x3cedd78e,
+    0xfeab2c3c, 0xd03aa691, 0x9b9461a2, 0x7dbfaa44, 0xc84354fb, 0xd5e65bcf, 0xe4e59b37, 0x9b447ba6,
+    0x3a5f22da, 0xe0f68590, 0x2a4441af, 0x1a06f407, 0xfded915c, 0xec9c7bd3, 0x88e0bd81, 0xd459552c,
+    0x44ecedf8, 0x4193ea18, 0xcac24ab3, 0xb1989565, 0xf5bce091, 0x28115af9, 0x48839ba8, 0x72f7b61e,
+    0xa73c399e, 0x71fcff4b, 0x59fdf18b, 0x3c467a55, 0x176e88bd, 0x252a7213, 0x68a09783, 0x52cde094,
+    0x4dec1b16, 0x6f3f193d, 0x21093d86, 0x4db6e02b, 0x12d8e938, 0x8bd8dfd6, 0xd387d07f, 0x16f48821,
+    0x4dd6d016, 0x1db6690e, 0xce9018f9, 0xd0cfe81e, 0x4671a928, 0x756a5ac7, 0x659c27a9, 0xe5750116,
+    0x086ecb4d, 0x7de74715, 0xa8167ec9, 0x76c9a7d2, 0xdefc5e5d, 0x6462548d, 0x0ef60f6f, 0xf2bb01cc,
+    0x2330f8d9, 0xf385240a, 0x29fa6247, 0x9b252291, 0x15a058de, 0x24865a6c, 0x87fae7d2, 0x203911ea,
+    0x02d2d973, 0x17c0b74a, 0xba50c19b, 0x97eae26c, 0x2b2fa6cf, 0x8bdf25fc, 0x472d43c2, 0x98ba39f1,
+    0x3dd2ffc8, 0x5e7d34d5, 0xda26980a, 0xd576aae1, 0x306f9e6f, 0x16aecb1c, 0x19aa9c88, 0xdedc0c0f,
+    0x159406be, 0xa8093921, 0x83b6298b, 0xc25d250a, 0x5bb0c433, 0x942980a1, 0x0787a5f5, 0x02d8dae3,
+    0x242eb572, 0xe78a565b, 0xf461db33, 0xdb2e557f, 0x4149c672, 0x1711d5b9, 0xb874d34e, 0x0b894143,
+    0xb1d9c0d7, 0x1f5faf13, 0xf43af065, 0x766cc31a, 0xc28ca933, 0x9b4019ad, 0x60c3533d, 0xc3716c18,
+    0x909b00f2, 0x65a8257a, 0xcc4fe179, 0x8c2309d3, 0xb19e1850, 0x10cf9a27, 0x2acc29e4, 0xfb8f69f7,
+    0x4f30b264, 0x9723fb01, 0x5275488f, 0x6b1343b9, 0x56295287, 0xcc43fda0, 0x9eb2d588, 0x8fa9d5de,
+    0x65188395, 0xe0cb4472, 0x8094a0b3, 0xda953ee7, 0x4334068e, 0x8cec5c61, 0x104f6ea2, 0x302c7797,
+    0x5cd4889e, 0x204c94b9, 0x1cf165dc, 0x6a173df3, 0xd5b8da74, 0xdd9bb85c, 0xb293e185, 0x1460ceda,
+    0xc68432ee, 0xabcab77a, 0xfc7b1602, 0x7af5e8e5, 0x3c87f7ae, 0x7f5ebfa1, 0x0c1f81d5, 0x13370b4b,
+    0x1fbde5d9, 0x066ee35c, 0x9764eed9, 0x9f7e9852, 0x44c80493, 0x272b0d64, 0x01b1c69d, 0x9bffcdbd,
+    0xfa022fae, 0x96b21cc8, 0x8bf936f7, 0x4856dc62, 0xdb56780e, 0x071ec00c, 0x7e97d228, 0xffd3fe07,
+    0xf2b1f11f, 0xa09f44bb, 0x651035a1, 0xe925ed04, 0xa882223b, 0xa8b31918, 0xa6226fc0, 0x95602f7c,
+    0xa7b19afa, 0x363e1454, 0x13b6351d, 0x412115ce, 0x4c83e8ce, 0x02a05ab2, 0xe114defd, 0x2832dbee,
+    0x86ab0262, 0x5d54e251, 0xab3caa5c, 0x658089aa, 0x5ea798e5, 0xd21e4f9c, 0xdd34f739, 0x3b14f9da,
+    0x2e5fe0fd, 0xfc8c65af, 0xe35188e7, 0xeb38569b, 0xf67fba42, 0xeb1c10ea, 0x95d4011a, 0xb8fd0b49,
+    0xc33b4b20, 0x31f91b8f, 0x9b40fefd, 0x5f8a663b, 0x3ff02c79, 0x8800c64a, 0x0d1a7a99, 0x44af3ed4,
+    0xda93ace2, 0x32d356e5, 0x0115ebff, 0xb86ed249, 0x36bee32d, 0x04fedafb, 0xcc5bcaf1, 0x86ce3734,
+    0x24c2946e, 0xb8f182c0, 0x12ca43b9, 0x8244f607, 0x9a8e0713, 0x531e5535, 0x19894687, 0x46715d5e,
+    0x7dc47eed, 0x06ccf52e, 0xd981507f, 0x0cc6905d, 0xfcf51a3e, 0x688f2e6a, 0x18eb6eee, 0xf2233da9,
+    0xdc0c93a0, 0x58bbac1a, 0xe937df08, 0x941a8507, 0x98278e89, 0xba828c82, 0xc2deb89f, 0x676d451e,
+    0x4dbcc8d3, 0xc194d5fe, 0xd385d71f, 0x3e71c408, 0xf241dd6a, 0xde8d83e6, 0x8dfc76fc, 0xbadc1bc8,
+    0xfabaac1c, 0xb9395936, 0xf9159c42, 0xb460a495, 0x0d665e9c, 0x1b38eadf, 0xd893f8b8, 0xd3021d92,
+    0x60362175, 0x01ba1519, 0x0142b5a3, 0x02e07a84, 0x1e3ecd2d, 0x54aae6ed, 0x6d951c8d, 0x3f29b53a,
+    0x44959ab3, 0x9f2549fd, 0x54483f39, 0xedbada6b, 0xe4c15286, 0x129e64ca, 0xca0ddb10, 0x9add4cb0,
+    0x3ee55a65, 0x80a7c89a, 0xe1482967, 0x4c861bba, 0x66b12314, 0x5eee7ae0, 0x33963543, 0x19667e0f,
+    0xf11e6885, 0x2922e95f, 0xda4bb169, 0x85c6178b, 0x73a0d7d4, 0x3692ea19, 0xa3d3682a, 0x4e82a409,
+    0xa933e4c7, 0x8fb6bc9b, 0x99ca37bc, 0x07270c1f, 0x991ede87, 0x8164590d, 0x975f27fa, 0x393b4de0,
+    0x02425e8d, 0x732b0973, 0x5502448e, 0x4a4c196b, 0x2346cce7, 0x46b163a7, 0x8b764e1c, 0x302360e6,
+    0x8cc1f743, 0x06f3a3ed, 0x23c0fd99, 0x54c3e723, 0x9efed75e, 0xe0565a93, 0x60ad76e2, 0x96379d01,
+    0xfe8b818d, 0xf4b56d68, 0xeaef9c14, 0xd958e76f, 0x460e468c, 0x7ccb7d28, 0x3e6c1c77, 0x40113729,
+    0x0932cd8e, 0x40e683d4, 0x81f6bd20, 0x35ada3f4, 0xcd13c4eb, 0x6e58ac11, 0x74752eda, 0x23438251,
+    0xd8fe059d, 0xb95e6203, 0x4c160f2e, 0x71e93874, 0x3a2f9581, 0xc276c320, 0x8b348bb8, 0x30256a0a,
+    0xf12179e9, 0x6649dd76, 0x0ed8b9c6, 0x9a21d8d1, 0x6977264f, 0xca45944e, 0x0a7cb6fd, 0x2f9172e1,
+    0xfa36beb7, 0xeb4fb6e2, 0xae2342d5, 0x9835f13e, 0xcba982b1, 0xed255e0e, 0x2c04a34e, 0x9747ac5d,
+    0xeec221c1, 0x53354803, 0x0d98b67f, 0x9eae3f47, 0x195ccdc3, 0x961e7beb, 0xa96e3b12, 0x17f54934,
+    0xafd360d7, 0x4ef43e2f, 0x4d52ac94, 0x16f6bbe4, 0xc4701f18, 0xecf09f96, 0xd9425a14, 0x58821e1e,
+    0x5ced9bea, 0xbcf2b926, 0x13c1a9ff, 0xf7d6b1a9, 0x62d6af65, 0xe0f19b35, 0xb4242585, 0x77667432,
+    0xdf765a66, 0x526eac6d, 0x9a0e8e2d, 0x12f90e20, 0x58a902bc, 0x394c6d35, 0xb97af421, 0x2c11a832,
+    0xaf447340, 0x6e59ec9e, 0xfbf2fecd, 0x6fc2b56e, 0x1ebcc028, 0x8af80987, 0xa5c3b61b, 0x1f16247b,
+    0x5882d672, 0x18186443, 0xc1bbc0ce, 0x88baaea4, 0xcb414071, 0x3ca9f340, 0xe8ca6507, 0x143e5061,
+    0x51e2d63c, 0x77d3b3a1, 0xb58ee905, 0x53d9cbc2, 0x2a2f95d9, 0x1388b965, 0x30967a0d, 0x605985b3,
+    0xd70bb3f5, 0x5a0f4550, 0x25aab51c, 0x8cee8243, 0xbef26d2c, 0x5f5f480d, 0xa91b077f, 0x8d9f6e2e,
+    0xa8d0c3af, 0x7fd2bc00, 0x764e8ee6, 0xeaa024ad, 0x54985098, 0x4fd50e2a, 0x11d24498, 0x709d48eb,
+    0x01269268, 0xd7f138a6, 0x7339a67c, 0xb158c79a, 0x0a1ea5ad, 0x6575ed9f, 0xc39728f0, 0x5e8c9d67,
+    0x6d890094, 0x1f38ab22, 0x0abd4929, 0x1bc3f5c2, 0x933a5fa4, 0x99fc6807, 0xc72e5bc6, 0xaffc7214,
+    0xf219bd4f, 0x6dfa6a31, 0x071408e6, 0x6ccae800, 0xa70b13d9, 0xcee69bf4, 0x1b3bb468, 0x97137eaf,
+    0xbf15241f, 0x516dadcc, 0xce4d6828, 0x602680c9, 0xdc7dd503, 0x86b229f4, 0x97c0593d, 0x8f62a832,
+    0x00000000,
+    0x549c52f3, 0xc5c1db41, 0x21622ae0, 0x62f99af0, 0x7f7d187a, 0xb16e4953, 0x01c84c52, 0xb32693aa,
+    0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000384785216761664836057412500977964978\
+                          56523182881313912761668255277583712667477744737709244389536050430475222646784 */
+  { 0x00000000,
+    0x8ba6934b, 0x34ec0a76, 0xb5d2a593, 0xbb7ca355, 0x07e0ef55, 0x459e58f5, 0x8ef85b07, 0xe72c0df6,
+    0xdde1bf15, 0x6bf0d670, 0x1c1ec426, 0x2d61e5d8, 0xd0444273, 0xde60f9f9, 0xdb07fdca, 0x61da51ac,
+    0x5b46bfd9, 0xc0c11671, 0xb07475c7, 0x11fedf37, 0x59c31279, 0xa28d7142, 0x7472073e, 0x862490f2,
+    0x309438f1, 0x7fa1c51d, 0x1a85d7a7, 0xb0ee2c6b, 0x2d872eb2, 0x54409b32, 0x6c5b7984, 0x81ca5091,
+    0x0a7a85f5, 0x805eaad2, 0x60b17eb4, 0x993ee7fc, 0x3592431e, 0x07dfc2ea, 0x3cecdc9d, 0x3254d615,
+    0x1d4a3278, 0x3b0b3329, 0xbaaaa7eb, 0x20368e13, 0xef913943, 0xdcdd3898, 0x335ad98e, 0x95c165cc,
+    0xbf81f9d4, 0xf6d31b4b, 0xaad6ad0c, 0x69c92152, 0x12b97675, 0x50df404a, 0x04c5cf18, 0xdf9cad5f,
+    0xd9e3baff, 0x270d248d, 0xae39cb5c, 0x5ffbcf76, 0x2eb922bb, 0xfa5731be, 0x4b22b5dd, 0x8415bc8e,
+    0xeddcf3d0, 0xc9d9fa99, 0x59a15fdf, 0x3a259b06, 0x30bf5fcc, 0xd4f2b03e, 0x21fa070a, 0xc6f60506,
+    0xb05bc950, 0x42fc4cc6, 0xf2348348, 0xdbecc04e, 0x8065e857, 0x2145db52, 0xa2bc5ac2, 0x34186dd2,
+    0x9368efb8, 0x341c6b55, 0xee81267d, 0x0729f382, 0x2e87193d, 0xbca1b934, 0x63c15052, 0xc2d31d44,
+    0x1715ce0b, 0xd5a97b48, 0x3eeb1ffe, 0x05f15d69, 0xef9e03b5, 0xbc63b934, 0xfd7c66f9, 0xd17001d9,
+    0x8284a6af, 0x268c0ce4, 0x598b88bf, 0x79016515, 0xd742057b, 0x07dd413b, 0x6ee13af9, 0x5a07bb81,
+    0x3b5abc2a, 0x0467da76, 0x047f8636, 0x4c371335, 0x77ce62ac, 0x84e2310c, 0x712cc24f, 0xf17d81ea,
+    0x951baa2b, 0xbb22295f, 0x336ff8dd, 0x1ae52e15, 0x36c8520f, 0x9fa474e9, 0x86356826, 0x74b65018,
+    0x8553cafe, 0xdfde793e, 0x9d7c960d, 0x710e5f39, 0x3f36b50e, 0x164da510, 0x20b73b32, 0x28a29855,
+    0xf9c2ee00, 0xf806ad4b, 0xd2719d58, 0xbba064b2, 0x84c7f2a5, 0x0d4fdcc6, 0x770a948c, 0x0371c7a0,
+    0xb93a80a9, 0x099f1d61, 0xff1c978d, 0x66726270, 0xeff9d087, 0x70ed3296, 0xb012f656, 0xb4b75027,
+    0x0923d82c, 0x46f034af, 0x49c3d31d, 0x039e0f7e, 0x9f446cbd, 0x6078e8a4, 0xda09bb5e, 0x331c1459,
+    0xe4dd8346, 0x364f69c6, 0x18cc157d, 0x2d082c60, 0xa47f6d51, 0xe43709d1, 0xef91c764, 0x013e5190,
+    0x4aba2d5b, 0x925dc460, 0xe7867646, 0x3d856336, 0x7202db02, 0xf86a9ba4, 0xee260529, 0xc6fdb2ce,
+    0xc2796981, 0x4955b7bc, 0x93a1abdd, 0x808d5e57, 0x4f3de72a, 0xe0a67cdc, 0x2ffbb4d3, 0x7fea9698,
+    0xdd2b38f3, 0xd97650d0, 0x6dce7f1e, 0xc2a4a9d4, 0x97b131af, 0x79d26151, 0xe703c20f, 0x90b6a5fa,
+    0x5cb2ca8d, 0x1871a7b3, 0x94cdf2af, 0x44a47ff8, 0xe0fda64c, 0x20a58aeb, 0x5c4d7f8b, 0x11417fdb,
+    0xd4fde858, 0x3d7b5f28, 0x388088d2, 0x579a1abb, 0x65dcfe03, 0xb26ab27c, 0xe13e2982, 0x3871503b,
+    0xef209bf0, 0x84447d88, 0xc8defbde, 0x56345c43, 0x26cd12c1, 0x2ac76215, 0xcbda2e69, 0x40c59942,
+    0x88a09027, 0x6f4ba12c, 0x77b4a19f, 0xd2e292cc, 0x708ca375, 0x5d18cc54, 0xfa54477c, 0xc9cd43ae,
+    0x252eb79f, 0xb2005230, 0xdaacba76, 0x71d1339f, 0x6025b231, 0xb9d59893, 0x4645a5a3, 0xf8c322c4,
+    0x59516ff6, 0xe836c88d, 0x2a278ca5, 0x54891332, 0x4cf342d0, 0x9a5184bf, 0x582a48c4, 0x031ac1aa,
+    0x012a7408, 0x2ad3c7f1, 0xf97b4f86, 0x914dd1c7, 0x48cb9732, 0xffcaeb19, 0x6f3a2a66, 0xb66616cb,
+    0x24822454, 0x1caa5b44, 0x12980086, 0x5eba80db, 0xd7c60cca, 0x8332faae, 0x190e2e6b, 0x90ef70b8,
+    0x94a956fd, 0x7c66a8e6, 0x64483f15, 0x671d4c8c, 0x3de099fa, 0x27ffa6f6, 0xe4802746, 0x17986bab,
+    0xce9abf0e, 0x05fa6a8a, 0xb1b5f5c3, 0x6e53ad28, 0x7caacbbe, 0x2e42f748, 0x77a22a1d, 0x87afc212,
+    0xa3b916af, 0xabe1dd97, 0xc37bc7f9, 0x64ddd01e, 0x8603d1d0, 0x50c46c99, 0x0322d35e, 0xe47ec2b9,
+    0x7a81e1da, 0xcfc24552, 0x79b632d9, 0xa63a141f, 0x0deff2f9, 0x2647c8b4, 0x5df1015a, 0xe1d8b113,
+    0x9067e034, 0xd6529672, 0xe77fe510, 0x175aef15, 0x12143b58, 0xafb33cdb, 0xbb8c1f76, 0x71c8454b,
+    0x5f66b9ca, 0xdb8a6440, 0x1f7dd045, 0xee8b7cad, 0x342ba7df, 0x2a6cd95d, 0x3cb29773, 0x7ee41fd6,
+    0x6d7f5b28, 0x9d3b7888, 0x3d9f3992, 0x3f78c06f, 0xb0f8cf09, 0xc737fec8, 0xdf6d5cf1, 0xf67dedd0,
+    0xef919c02, 0xb9fac008, 0x12a3e7b6, 0x6a8671c3, 0xb0b9cbc6, 0x77a28aec, 0xf7b780d6, 0x146187f4,
+    0xff31cb33, 0x20c4992a, 0xa1c44464, 0x1d2f4e65, 0xfc568e4b, 0x16a3c11a, 0xd97f557c, 0xa5383bbd,
+    0x67493994, 0x36dfdc51, 0x871d57f3, 0x89801766, 0x22bc2af6, 0xb6b1e76b, 0x6cfd0cbd, 0xb2877dfa,
+    0xa04aa227, 0x862880e7, 0x838aa2e7, 0x41348958, 0x9a384a84, 0x96aeba32, 0x193643b6, 0x13c82d9d,
+    0xf384d410, 0x3245fd93, 0xc378d145, 0x48d45ef7, 0x097332b7, 0xed5d5081, 0x180f606e, 0xd9153b82,
+    0x9d5fdb5d, 0xd4c8ee71, 0x9036bfcb, 0x4a6232b3, 0x2a83817a, 0xc4958a8e, 0xdf7037d8, 0x373cc181,
+    0xca912d77, 0x9681f32f, 0x5ba1f5d1, 0x0333607e, 0xfdf99e2f, 0x9db4ffec, 0xd9d17f5c, 0x67f4f3b7,
+    0xd2332d3f, 0x2c1c0a31, 0x7b129f83, 0x8d35b451, 0xb12104d8, 0x7f42a47a, 0x303722f8, 0xb6cb749c,
+    0xbe1f8942, 0x9862d8d4, 0x4356aa5b, 0xf6f5fd4e, 0x856d9276, 0x9111b1aa, 0x8d7af899, 0x33aea637,
+    0xa140e6b6, 0x11951135, 0x14ba8f49, 0xdd4f68fd, 0x0fa1797b, 0x15757c75, 0x58544f19, 0x8231298b,
+    0x21b86900, 0x7e065e1a, 0x669a456b, 0x218cad8c, 0x34f9a55a, 0xc8148ab8, 0xea6de389, 0x96597660,
+    0x971e7954, 0xd807aa03, 0x09c08628, 0xa3d4cceb, 0xddb8c058, 0x0d11a409, 0x74901be8, 0x585f7672,
+    0x8d7dbf90, 0x26ee1661, 0x759604ee, 0x7d7f28f6, 0x24c14fec, 0x08a1e71b, 0x0090b8b0, 0xa11c7508,
+    0x00ef854a, 0xf8b3290d, 0x8ce8cf3a, 0xda903a54, 0xe814d7cd, 0x1a804012, 0x89d6e20d, 0x01f9d9a6,
+    0x440febc5, 0x2b537f46, 0xe891261f, 0x6c7b3fc0, 0x9d9f0c8c, 0x021aaa43, 0x2efd8430, 0x55c1acf9,
+    0x02de1f5a, 0x6e4555f9, 0x82c4d232, 0x33986ef3, 0x347213ff, 0x0735cddb, 0x1d270a80, 0x9b432e35,
+    0x55ed8b3c, 0x12a0dcc1, 0x3a752720, 0xecc7b0db, 0x3feded2f, 0x22481455, 0xb87453be, 0x52b09ea8,
+    0x7485d52a, 0x503f306a, 0x62dede42, 0xd37068d9, 0x5bd4f629, 0x68cfc1df, 0xc91f7e4d, 0xcfe94045,
+    0x0b785fa3, 0x49afb011, 0x1108580d, 0x0ba11398, 0xde9b0120, 0x935686fa, 0x067ce3d1, 0x6650fe1b,
+    0xcbf3a030, 0x3230312b, 0x77d3395b, 0x8b5f100c, 0xc5bf051a, 0x3b1508cb, 0x8f29d022, 0x3e14a88d,
+    0xe98aaa80, 0x120ea6cb, 0x82caae76, 0x505de286, 0x574ae752, 0x253ecf93, 0xf9c059a6, 0x9f1ab224,
+    0x82bbd207, 0x65028186, 0xeffe1834, 0x05fc5724, 0x24a66ae6, 0x893b2f52, 0x40103ff1, 0x8b998aec,
+    0x0d8ed1fd, 0x1589cfca, 0xd14ed263, 0x6e231959, 0x42557be2, 0x45c67e6a, 0xe75f8dee, 0x157e4734,
+    0x9e9aa664, 0xd9c5e525, 0x776a29e8, 0xae235c50, 0x4cc43684, 0x202420e2, 0xab02ca8f, 0x1ce58e12,
+    0x6b471735, 0x71ccdb91, 0x07db7875, 0x95212a44, 0x3aa35453, 0x8271f399, 0xec1ef9db, 0x323f3cb0,
+    0x67d15cae, 0xa00ad034, 0xcdc5356d, 0xa6fa8363, 0x7a0c16d4, 0xed7bc30b, 0x01b3c583, 0xef7863f0,
+    0xf83e529b, 0x4318ec6c, 0x877990ee, 0x72b48008, 0x2757f1ef, 0x2c3a4ad0, 0x5c6f7f80, 0x3a013db7,
+    0x0119ac23, 0x525628e5, 0x2a81a6a0, 0x16a66da6, 0x119287af, 0xceee6534, 0x3f761f87, 0x0bfa1cde,
+    0x82f533c6, 0xc0b5227b, 0x10cd2fd1, 0xec8a42e9, 0xb1ca9574, 0x75024ea9, 0x3aa33e7b, 0xf9747902,
+    0x46b29752, 0xc459c8c4, 0x8c1fcf79, 0x14d3e4df, 0xea9a5892, 0x50dbdf11, 0xbdfbdf41, 0xa1eae4f4,
+    0x6e166d16, 0xc8fdf466, 0x3e394a32, 0x262cf373, 0xc2ac01d8, 0x1f791be7, 0x9899bb99, 0xee81ae27,
+    0x85d69558, 0xb22d85dc, 0x70161058, 0xc4fc6d3d, 0x92922b38, 0x5687f784, 0x99f5372f, 0x57b38567,
+    0x2fa200b4, 0xd616ddc3, 0xd0f5e78d, 0x7f7b9696, 0xa6020faa, 0xf2d5e372, 0x30bc3691, 0xc9a03248,
+    0x808b738b, 0xef935656, 0x2f3cb064, 0x36ff658d, 0x6a3b50aa, 0xa7543b20, 0xd7b92dfe, 0xbebbaf69,
+    0x840e28e0, 0x73b1e5fd, 0xddd40c6e, 0xb8f50de4, 0xa2f3d8ad, 0x2d197657, 0x7f253055, 0x7011b3ae,
+    0x3e2c484b, 0x2b0a1120, 0xeb74331a, 0x70326981, 0xcee0e5d4, 0x4f72a7da, 0x0a064d69, 0x71dc5894,
+    0xc960b769, 0x8ca67ea5, 0x85ad001c, 0xdaafe85d, 0x054e2109, 0xe45c00fd, 0xb36f3aec, 0xc0bd32c9,
+    0x76a4886b, 0x597b8aad, 0x8e2bc277, 0x7d570fa7, 0x89ac98ea, 0x55f81b43, 0xe5e23410, 0x5a781890,
+    0xef154f58, 0x8f3f82f6, 0xdd26faaf, 0x09b7611b, 0xc128b3e7, 0x68b3bbb1, 0xdd31d81e, 0xf2c548f0,
+    0x6c617ea3, 0x50c4dce4, 0x08d7c02c, 0x5ef2f60e, 0x01b03b9b, 0xdaeb35e0, 0xa71cb31c, 0x8b80885b,
+    0x1a0d2468, 0x30502bea, 0x130ba6c3, 0x4caea914, 0x7086e2e6, 0x228f00bd, 0x7159b307, 0xfacaef35,
+    0x3f9bd730, 0x17ade7f4, 0x6d4be251, 0x091d197f, 0xaf943191, 0xdd74eb73, 0x559a5575, 0x6324edf3,
+    0x418489df, 0xa28668ba, 0x80435d14, 0x632f4311, 0xd2f47eea, 0x68ad0a65, 0x36c26648, 0x5385d7fc,
+    0xfdd7eefd, 0x4e40eb63, 0x17b1a054, 0xc24147ac, 0x0ff922bd, 0x50e200c4, 0x9546af67, 0xefc813ed,
+    0x461554d1, 0x3ec1f69f, 0xcbfb04c6, 0xadff202e, 0xe7cb203b, 0x69bec74c, 0xd668e90c, 0x07ec86bb,
+    0x6dd138ec, 0x186e3958, 0x5b78344e, 0xf293089c, 0x36c34139, 0x7e914e84, 0x597541e4, 0x64a6b3a8,
+    0xbff3de5f, 0xe35bec95, 0x4e3bc826, 0x23b87598, 0xf4248ecc, 0x315504b5, 0xe0e1d3e1, 0xc33270ae,
+    0xc0925f2b, 0xf574e623, 0xa8ee0a43, 0xdeae9c96, 0x4ff0847a, 0x0e599bca, 0x497e6b3e, 0x00034a7a,
+    0x8b37a38b, 0x28790635, 0xfcd6847b, 0x5a06d92c, 0xd9f67744, 0x9ef86b94, 0x82a9eb6b, 0x99d3b108,
+    0xc79cf166, 0x2c174b0d, 0x8f94addc, 0x6169368a, 0x0f9cdcc0, 0x1975ff29, 0x496186fc, 0x19a86f9d,
+    0x100fa958, 0x6d25eb49, 0xed708985, 0x9e2241af, 0xad1d7d48, 0xdb045e77, 0xe112ea2b, 0x32ad48e4,
+    0xa7849663, 0x946dac6b, 0xb626f109, 0x35a9e9fd, 0x56ddac85, 0x4a698f27, 0xbd6668b6, 0x847f4767,
+    0xac78a379, 0xd51f08c0, 0xcb37c29d, 0x57a87282, 0x2a66c862, 0xd07d8371, 0x406680b0, 0xd12b4976,
+    0x3f049fe9, 0x694537e6, 0x9f913dc9, 0x5a55d4ae, 0xa6253368, 0xc424e150, 0x3797c9c8, 0xed0ba7a7,
+    0x50563157, 0x7d8d27e0, 0x5dbcb09c, 0x7f750327, 0x9306282d, 0xd09a63c2, 0x36793d16, 0x4578929b,
+    0x810838fd, 0x80687561, 0x0d058254, 0xb2c67477, 0x0a8b2c79, 0x068b5d79, 0x11e5280a, 0xabb2fdc0,
+    0xc9e9437d, 0xa4e2be76, 0x898dc899, 0xce9a37e9, 0x01274b1c, 0xd1e38be0, 0x70c06013, 0x45d0c500,
+    0xe5897a00, 0x7b288357, 0xf051d51b, 0x752b7176, 0x9037703a, 0x77cb62ef, 0x8f7fea03, 0x71abb322,
+    0xabcd33bc, 0x19916948, 0x01a97dd3, 0xe5cf7a54, 0xbaf90098, 0xa089dcde, 0x32ca3d31, 0xfb340286,
+    0xc8f07698, 0xc17bb6ef, 0x04c2916a, 0xbcf3051f, 0x149008ec, 0x12233b06, 0x01ed3534, 0x2de22e07,
+    0xe8d40667, 0xd17ddd19, 0x2e889c6e, 0x36237d79, 0xcb61e596, 0xfde627f6, 0x6d8b57c4, 0x47d59c54,
+    0x845f6f9f, 0x0ca58980, 0x132f33a4, 0xf5d9d7bd, 0x6ee1be8a, 0xe6489716, 0xfd26f0ad, 0x910cc897,
+    0xe26dd6f5, 0x25cdadb8, 0xe29c88c9, 0x983e2bef, 0x7bdf2be4, 0x01bace05, 0xace0d005, 0xa494d5ac,
+    0x1577a394, 0x649b9487, 0x732fa04f, 0xb18d04b4, 0x3605ba8b, 0x91cc2768, 0x0f36a3dd, 0x051588a9,
+    0x66dceaa3, 0x44095489, 0xfc7c4476, 0x1359b1e7, 0xf408d788, 0x7423e9e4, 0x166e505f, 0x8e02ddc8,
+    0xb4f78601, 0x5e329edd, 0x77f31c37, 0xe9fe5536, 0xef96e2f0, 0xdb9cafa4, 0xe63193e0, 0xc1f64993,
+    0xbddefca6, 0x28b46c0b, 0xd9ab896f, 0xc1425b8d, 0xb10ca01f, 0x8e803935, 0x18f12116, 0x8ffb6e1b,
+    0x2c4c9787, 0x742eb935, 0x6df27758, 0xd53ea563, 0x4921ab30, 0xc79cb5af, 0xa9b66dac, 0x62d2ca30,
+    0x87c0e989, 0x157bf261, 0xd5988a2d, 0x3e960640, 0xda7e7377, 0x5e0cfed1, 0x35f36ac1, 0x4add6f50,
+    0xff2dccf6, 0xefe0b102, 0x2f946dc2, 0x080f79b8, 0x54c0eef5, 0x78b83f36, 0xeeff9f53, 0x02bcd92c,
+    0x85cb1899, 0x9a771f81, 0x5c702aa6, 0x19892a45, 0x8168c01f, 0x84257634, 0x50ae93c1, 0xd0e5ca74,
+    0x244b9ac8, 0x997541ed, 0x98794775, 0x559e334f, 0x487b7562, 0x6df0cdc1, 0x52c56988, 0x8591bdef,
+    0xe8920184, 0x72cdfb77, 0x803a75b2, 0xf1173128, 0x0b40e771, 0xeb44953b, 0x48f3d1a8, 0xff9a2f5d,
+    0xca5f4246, 0x497e67a2, 0xcba05a93, 0x6a0d3ae5, 0xbd5b2baa, 0x1664117f, 0xb4e51a55, 0xbe21951f,
+    0x3648841a, 0x0d5f42eb, 0xa6438a35, 0x337bed27, 0x7cf62f45, 0x79210314, 0x89003560, 0x9d15711a,
+    0x623f690f, 0xf1786cec, 0x2898aa0a, 0x20208ae5, 0x89042576, 0xb4da0b61, 0x2ee60966, 0xb795effa,
+    0xf164865a, 0x8796ca40, 0xcc4681ad, 0xb1aedc48, 0x52f33277, 0x45d9ae4c, 0x14acaec2, 0xb82c6a08,
+    0xa86a74b1, 0xd647329d, 0xc0ef0611, 0x5b665557, 0x12d1e208, 0x1055f97e, 0x6074f728, 0x7d9b0ccd,
+    0xe44116b7, 0x35b160e4, 0x8ecf3a02, 0x270968f6, 0x83ab8848, 0xbe9d3552, 0x275affa0, 0x6b304a76,
+    0x6012a774, 0x0462444c, 0x8e8e2635, 0x3c32c584, 0xf18d868a, 0xe14a9697, 0x65312074, 0x8e7b8510,
+    0x8d3166cf, 0x11c5c80d, 0x31c6db26, 0x90985859, 0x30245b57, 0xf9dbe410, 0x727f58aa, 0xc0478182,
+    0x7dead90e, 0x3a8bdcb8, 0x30604aa0, 0x804653de, 0xf9eae793, 0x914ff050, 0xaef5ddef, 0x92bed059,
+    0x0da5d998, 0x38f8fe21, 0x67296fa6, 0x186afec0, 0x25d63025, 0x7882e836, 0x2b99cb7d, 0xab405607,
+    0x8c3699fe, 0xd7ca6ed0, 0xf5f3b001, 0xb5681567, 0x4fe2e884, 0x04fcce21, 0x5b2bae0f, 0xd2c0471f,
+    0x524a5fab, 0x92d450ef, 0x7bc15fcb, 0x4f5691fa, 0xf9b199ed, 0x0a2cf608, 0x7b62efd2, 0xcd08c5b6,
+    0xe13e4dfc, 0x327e7f8d, 0x14235da4, 0xb84f1ad4, 0x0e524773, 0x99bde9e6, 0x576b6e0b, 0x7ae081e0,
+    0x5535d37b, 0xb2d0f9e0, 0xd5e4a481, 0x55bc49a2, 0x4edee973, 0x1c880ff5, 0x96393831, 0x5fbe8bd5,
+    0x671bdf59, 0xc33acb1b, 0xb1fc9225, 0x19408a36, 0x97307238, 0xd9d76a00, 0x496730ab, 0x87797604,
+    0x00000000,
+    0xaa4e2979, 0x62e0eda0, 0x10b11570, 0x317ccd78, 0xbfbe8c3d, 0x58b724a9, 0x00e42629, 0x599349d5,
+    0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000192392608380832418028706250488982489\
+                          28261591440656956380834127638791856333738872368854622194768025215237611323392 */
+  { 0x00000000,
+    0xda3f66ff, 0xdb97a287, 0x1991c06a, 0x42296015, 0x2d05222d, 0x43d08cfc, 0x086090f4, 0x1007b673,
+    0xc979f969, 0x5cae88fc, 0x024a5d59, 0x1ede550f, 0xfe25a766, 0x57c1148d, 0x9bee59bd, 0x080f8a51,
+    0x6dcf7ac0, 0x80088b93, 0x8f2add1e, 0xdcae8ae3, 0x95c56721, 0xb143c841, 0x37d22a84, 0x7f7d7c81,
+    0x93f2e0bc, 0x59497165, 0x5388a1a9, 0x08a1113f, 0x87c12aee, 0x779186a4, 0xbbef4791, 0x2fa00894,
+    0x352245d0, 0x9e441ff5, 0xb57e3bfc, 0xcff5afe1, 0x4fb51be0, 0xbbab8b95, 0x04eed702, 0xd408af2b,
+    0x7dc2da8d, 0x2c7cd585, 0x873f87e8, 0x92fcbc68, 0x3872dfea, 0x46826619, 0x875c4065, 0xf1f0d06d,
+    0x198398dd, 0x7aa786e0, 0x53129ae6, 0x645b0460, 0xe3204fc8, 0xb00d0879, 0x113fa30f, 0xa4b5e658,
+    0x5d9cc573, 0xbeea1f02, 0x13deaba4, 0xece4eb61, 0xc5df6c6b, 0x13b2e044, 0xab7cb799, 0x034d9ca7,
+    0xd8f61fea, 0x30152c22, 0xd74e5f1a, 0x0606a1b0, 0xc036fe3b, 0x5c60cf5e, 0x28576b79, 0x13704bf2,
+    0xba807331, 0x2ed6e083, 0xb8ef57de, 0xe225f25c, 0xba7d22cb, 0xc8137830, 0x7fc46a7d, 0x015b3741,
+    0x386f8b8c, 0x14e34836, 0x18607d4f, 0xa490f54d, 0x47da76b4, 0x3c1fef01, 0x7960cf69, 0x0becd86b,
+    0x39e3df4b, 0xf3b44f95, 0xe0160dd8, 0x0c75409d, 0x2f9afdfa, 0xa18ad16b, 0x8785c9e5, 0x896098d8,
+    0x2b83343e, 0x6b9b63e9, 0x7fc3a46d, 0x30f6ffc8, 0x331b0211, 0x4464bc69, 0x66be894d, 0x413300da,
+    0xe6f9328b, 0xa36bf196, 0x345af99b, 0x7a0728de, 0x68bc7edf, 0x9187c084, 0xab3c94e2, 0xf2c2991d,
+    0x9837ccc1, 0x09282241, 0x858aed4f, 0x7db68e1a, 0xe5c6c364, 0x2600c06e, 0xf8a84c93, 0x01d079a9,
+    0x772199c7, 0x212e1795, 0xd780086c, 0xd9fda1a8, 0x7df1ee01, 0xe22a8579, 0x2dade2a0, 0x11dae382,
+    0x0479b3b2, 0x6f29dc1b, 0x9c0ea9e2, 0xfb85035d, 0x056abd0e, 0xbb044d59, 0x90bb7db2, 0x1da97ba7,
+    0x8d769036, 0x95796bd6, 0x805f4130, 0xfca5ba5f, 0x21b0b868, 0xdd5f06a0, 0xaac653f8, 0x99597bbd,
+    0x0a4b145c, 0x7872cde1, 0xd941696c, 0x249dfc8c, 0x423d7519, 0xace9e157, 0x28910d69, 0xbae6bd6c,
+    0xa8e26efb, 0xb21df1e9, 0x044503db, 0xb8000a0b, 0x6e08df5e, 0x9d602be9, 0xb2228cfc, 0x3374469c,
+    0x308bdf3f, 0x2516b623, 0x89d46f30, 0x6f994568, 0xcca9e22e, 0x7570d504, 0x3d6c9de3, 0x4a5c6c20,
+    0x50a5f8eb, 0xb6c08294, 0x472568ec, 0xe153506d, 0x6e45296a, 0x682bd990, 0x0a21b766, 0x238a7ac0,
+    0xf3a5cf91, 0xce5cc538, 0xf5c52a7d, 0x2ec335c6, 0x5a5fcb01, 0x9bfb4752, 0x230d81a4, 0xcebba208,
+    0x4622eced, 0xb64025f4, 0x5c227462, 0x96f3d70a, 0xae112e7e, 0x3de42db6, 0x95fc5fbb, 0x1b1637a4,
+    0x62638eb0, 0x81b8f050, 0xc9f3a743, 0xbed444e4, 0xc8646c67, 0x205a7bc1, 0xef33bfad, 0x7229b746,
+    0xec2c86d3, 0xebac2440, 0xbd56ad29, 0xb22a4016, 0x3a1ae992, 0x7a77c15e, 0x7dda56a1, 0x89b9aa1d,
+    0x0fc5172c, 0x66a247fc, 0x4a3539f4, 0xe8aedc12, 0xfea8547b, 0xb293c6bb, 0xda00e60a, 0xadc93de5,
+    0x34d91b4d, 0x66cbefe6, 0xa136e512, 0x7bad2c05, 0xfc2fbbc6, 0x604a6f7d, 0xe1be077d, 0x474614f9,
+    0xa43e8821, 0x19a102b3, 0x6499bdf3, 0x6e1fa29d, 0x5bcbf2ef, 0xa83ae8a1, 0xe02a1fca, 0xb71f28f3,
+    0x32007967, 0x70f51360, 0xe4502e6c, 0x4d7e725c, 0x511c81d7, 0xac232268, 0x0c0db33a, 0x9973b84d,
+    0x082640dc, 0xe43ec502, 0x9871eab5, 0xa7fff6cf, 0x92b12bb6, 0xdabbfffc, 0xeb7dc6c1, 0x0eb246e4,
+    0x9a48f532, 0x2daee2b9, 0x48aa7c0b, 0x0c4e4def, 0x7ac44b4e, 0x1447e0fe, 0x0d183d0d, 0x0becfb5d,
+    0x4844dbe9, 0xfc94d212, 0x89877ebf, 0xfe9a2de5, 0xe9d7c1eb, 0x249650a0, 0x46bac462, 0x2e130941,
+    0x01130e35, 0xbefc9985, 0xdd822083, 0xae1ad443, 0xff64ebfd, 0x23096fc9, 0xf2e98bff, 0xf1865f23,
+    0xcc33cfed, 0xb14a7090, 0x079f66af, 0x6f3de4f8, 0xe01fa13b, 0x520e6c7e, 0xff18481f, 0x6a31ff3d,
+    0x4f8bcabf, 0xccbfbfe5, 0x897e12c8, 0xc14fd875, 0x7d121e5a, 0x305d777f, 0xc13f1fcc, 0x28b63d72,
+    0xb8a8f82f, 0x733c0ecf, 0xf609c2e5, 0xd5b18472, 0x18453bda, 0x1bf4f93a, 0x1298149e, 0xb1520a32,
+    0x794776c2, 0x7a9b3ab8, 0x0ac71345, 0x90118b2f, 0x2779c164, 0xf505b6b3, 0xc900d2ec, 0xb04b6503,
+    0x7bbdf712, 0xfc4fccf3, 0x74189cc3, 0xa74da010, 0x01c3b767, 0x972559be, 0x932e1f91, 0xefd4f4e7,
+    0x4ebd6498, 0x4dc9cb4a, 0xa554c369, 0xd4b419cb, 0x2691ed2d, 0x0a31e992, 0x6b6438c7, 0x510059ac,
+    0xbfe16d7f, 0x6beceae2, 0xcfdcf9eb, 0x05381970, 0x4a6d50ff, 0xf19cb2d2, 0xf2ab17de, 0xfb42260c,
+    0x852afb3e, 0xb3054f29, 0x85cd4703, 0x5af0731d, 0x043bb5fc, 0x41e98d9e, 0x008e042f, 0x485d1a2f,
+    0x3ef2194d, 0xdf4c3c50, 0x2f7b4f55, 0x4ed38b14, 0x5a5f15a6, 0x82b95881, 0xef68dcd9, 0x79ffa39e,
+    0x21f92299, 0xdc424fbc, 0x36706373, 0xc6e4a063, 0x8cfe5e12, 0x7378e21c, 0x07ae0662, 0x2e163649,
+    0xafb89633, 0xf5632757, 0xd23831dc, 0x5e88ccd3, 0xc061b11a, 0xba7ddcfa, 0x56ca96a8, 0x86725395,
+    0x168fee44, 0xa33c5543, 0xf7674ff1, 0xe0993db2, 0x3d2834a3, 0xc48f3cd4, 0xf98235be, 0xeb19a237,
+    0x02b7a374, 0x2f9bbe97, 0x6581c432, 0x16e77380, 0x78b331eb, 0xa1a85265, 0xd97dec72, 0x5c78a852,
+    0x634ae5b7, 0x38d3ddf6, 0x3ed6a2dc, 0x85aaaf72, 0x6bdee497, 0x2beeefb1, 0x9aefa919, 0xc6814584,
+    0xe07723ee, 0x054316b0, 0x34b28ff8, 0x2d6c8be2, 0xa91275bf, 0xedd349b9, 0xc49014ac, 0xd0982c1d,
+    0x1040e385, 0xa591b58e, 0xc294e845, 0xc72f3584, 0xc21e2653, 0xcd1863fd, 0xdf7c438c, 0xabd47287,
+    0x67bc8d90, 0x16e2c43e, 0x08f38b46, 0x6f99265f, 0x7ab6148d, 0x9d2fef90, 0x73ea32d0, 0xbc23c869,
+    0x48d627db, 0xf2c92e9d, 0x93325c4d, 0x10313e16, 0xc6385f23, 0xe3709aae, 0x4086980c, 0x2c891152,
+    0x6562f883, 0xd0e6cbdd, 0x04bbd4f9, 0x82c7d294, 0xe341d0d6, 0xe06f06ac, 0x092c7b57, 0xc38aeb9d,
+    0xcd603765, 0xef20f307, 0x7f77f12a, 0xf33caf4c, 0xefd529f3, 0x7ca7b402, 0x1e8d9f21, 0x4f040deb,
+    0x3e83a875, 0xea3484a0, 0x6be4dc68, 0xa30e844c, 0x263a9586, 0xe8e02c5a, 0xf57ea3e3, 0x901ce33c,
+    0x5e7d1adc, 0x24402b35, 0x9d5f5414, 0x01e29b1a, 0x76e9705c, 0xd21fdb83, 0x9127c969, 0x367f9bcd,
+    0x56d6a572, 0xa991d4d7, 0xd5f3e751, 0x2a2c6031, 0x3128541c, 0x58ce7831, 0xb71b7ab1, 0xa734fbe6,
+    0x79d1bfa3, 0x2651e48c, 0x4550f7f5, 0xa56e28a9, 0xd0d73e47, 0xe142bde8, 0x213dec5d, 0x521489a2,
+    0x94887aef, 0xc3da4569, 0x263a259e, 0x8d3d6f1d, 0xd9291de7, 0x7547993a, 0xd0f42759, 0x1b317829,
+    0x4300be47, 0x285be935, 0xe5b19238, 0xb9bb1c73, 0x0ac6b6e5, 0xc8cfd8c1, 0x72038197, 0x7dad9bba,
+    0x78380f15, 0x4d9b6580, 0xbe81cdca, 0x69369578, 0xd4cee55e, 0xc1db7ed9, 0x5a8be099, 0xd3a084a5,
+    0x913c701e, 0x0224cc2e, 0x81a498de, 0x5ea6d79d, 0x8f890fd5, 0xf1400878, 0xb83e6449, 0xcafc85d2,
+    0xdf203ea2, 0x87ecd455, 0x44f9fbfd, 0x4415019b, 0xb1babc6a, 0xf9f995de, 0x9b4a4cdf, 0x50225999,
+    0xc61cd49c, 0xf435461d, 0x68eca637, 0xc80b0668, 0xe962aebd, 0x52776b39, 0x043e3b02, 0x5de5a5c6,
+    0xc27d3daa, 0x9c5fdb9f, 0x86ce498d, 0x3ae4d1bf, 0xfc5b3c2c, 0x6e97fc9e, 0xdca3a67f, 0x500757d1,
+    0x52e0ad6e, 0x4b6b7d71, 0x7f9ac0bf, 0x8dd6f142, 0x97005f92, 0x723148a9, 0x42e24266, 0xa2947650,
+    0xd0cb6c7a, 0xb85ee00c, 0xa1b1eae2, 0x9d05f50a, 0x9bcc9fe5, 0xf5823b82, 0x02a7cd8a, 0xfe58dd19,
+    0x51509dc8, 0x1f5cf017, 0x73e4e2f3, 0x62ebef9d, 0x1c924bac, 0x7e64394e, 0x13e6d6a8, 0xb6b0c8ed,
+    0x817c8924, 0x847e06be, 0x0eeab6fe, 0x76b69764, 0x1ed06d38, 0xec9699ba, 0xe968d5af, 0x16dcd1fc,
+    0x38fe6ee2, 0xaf561746, 0x34c5fa5b, 0x4af1acad, 0x374d63c0, 0x5a662632, 0x6eeb6e3f, 0xb9f898a2,
+    0x68869858, 0xcf15588d, 0x6d25dc64, 0x3021cf93, 0x78c45a64, 0x00dc70db, 0xe7d9120f, 0xf7367b5a,
+    0xa83d4778, 0x7b3b8c81, 0x50aa40c4, 0x984960d6, 0x701269ce, 0x26057675, 0x29daf28c, 0x742754b9,
+    0xf93c758b, 0x856e39b8, 0xe75693a7, 0x1d958c48, 0x0af5e5aa, 0xa755776c, 0x95fc5274, 0x4fefb479,
+    0x6031f7cc, 0x4cc564ac, 0x4334a9a6, 0x7b8dc4e5, 0x569c0088, 0x5e5f2e3c, 0x56bc68ac, 0xac8fe62a,
+    0xdc1253dd, 0xa15f50b4, 0xb74fa49f, 0x7e8a7d7b, 0x5dcb5594, 0xd932e8bd, 0x857f3ed6, 0xeb35a14c,
+    0x8729f6d0, 0x4ab0ee46, 0x0b3acbc4, 0xf0ba010e, 0x348df591, 0xf451e262, 0xaee2febc, 0x9dd8544e,
+    0xd1cafe32, 0xd61c765b, 0x8e3192ef, 0x06a1c0d4, 0xa887138d, 0x7178d2e6, 0xee110f58, 0xb69001b1,
+    0xdf727089, 0xc236c520, 0x1e325ec1, 0x9fe34168, 0xb17f1a52, 0x104c8c2a, 0x9c75e46b, 0x47370bee,
+    0xbcccf44d, 0x1d3a1127, 0x8d920100, 0xf24c267b, 0x567eb5a6, 0x7b5a8ecb, 0xa1893d14, 0x063ac33e,
+    0xbbbdd1d5, 0xb121b5c6, 0x0da733ec, 0x5d871508, 0x45a5c9a2, 0x30e1b93f, 0xb0fc0966, 0x297f0ee9,
+    0x4f62b60c, 0xda3b6785, 0x1213e91f, 0x74664413, 0xd255564f, 0x0287cce4, 0x848fa0e5, 0xc9f95e86,
+    0x204720cc, 0x3e61ce48, 0x8a1d2ad5, 0x1b2a1888, 0xfd73d4bb, 0x16332b7d, 0xe9ce1d7a, 0xcb32e497,
+    0xf66ff176, 0xf96c8831, 0x7e45b9ca, 0x9591fcfd, 0x838574d9, 0xe796540a, 0x0edcedc6, 0x4f6e8a82,
+    0x9977876e, 0xa5d9c65a, 0x506531a2, 0x39bbd60a, 0x04af93d7, 0x9ecf4040, 0x4457097a, 0x4e018c0c,
+    0x22bdd256, 0x4bba2302, 0xf7a08f5f, 0x923e55d8, 0xc85df67e, 0xc56fdb5e, 0xd5e3b98a, 0x41debbee,
+    0xc2f69ffc, 0xbb724333, 0x4b52ea78, 0xe09afc1c, 0x5ff29da3, 0x9fdc2e79, 0xe616c49d, 0xf38c4fda,
+    0x17cf8158, 0x0a9583fc, 0xe2025a69, 0x77bacfc2, 0xc121a322, 0x15b13ddd, 0xd5bb589a, 0x738564c3,
+    0xc5f6691f, 0x3f9bc5eb, 0x74ab08ef, 0xf07498d0, 0x8a2eb63b, 0xb0bd0cc2, 0x47f51e7a, 0x218a4246,
+    0xbc11b2cb, 0x2ecbf16b, 0xf67ec5ca, 0x7e1ff060, 0x1556936f, 0xbf77039c, 0x628db724, 0xede61428,
+    0x08912b93, 0xf67a6991, 0x8aa13dc8, 0x6b655caa, 0xbcc71dcd, 0x62285f52, 0x814188ec, 0x03d63378,
+    0xdcfd1e41, 0x9d091b1a, 0xa4eb704a, 0x5a55a6db, 0x96cf85c7, 0xddf42fb7, 0x89343332, 0x7bc98451,
+    0x4a8ffcdd, 0x5e20d579, 0x3d7c5a27, 0xe11f0bf6, 0x7510747b, 0x59928635, 0x87bd080a, 0x77b9c168,
+    0xe5c80603, 0x4558c1d2, 0x427e4c75, 0x5965fb29, 0xc99e9fdb, 0x848e763e, 0x7d173438, 0xa42c5e3e,
+    0x70335a47, 0x6a1b1322, 0x674b531e, 0xf2bba03e, 0xb1cef31e, 0x84f7537f, 0x5606b7ff, 0x86e4e2ea,
+    0xfc3ffa9c, 0xde09447b, 0x812de125, 0x5405d300, 0x6adb44b7, 0x56776f80, 0x9113baeb, 0x9f6db60f,
+    0x7f0aa896, 0x9a032260, 0x058de80f, 0xe19efdf1, 0x003c6dee, 0xf72b4988, 0xcdfde960, 0x32cbbcaf,
+    0x3d728c0f, 0x09cfed63, 0xad216ba2, 0x29614488, 0x53975b72, 0x5acc354a, 0x5233305d, 0xedf52f23,
+    0xe5711509, 0x66938b43, 0x0bcd867f, 0x9b89d131, 0x813c1084, 0xa762ef16, 0x761fb772, 0xc27f2c33,
+    0x05bc5f10, 0x76df90bb, 0x73a19054, 0xda9fb22f, 0x5e0711df, 0x3159d418, 0xb81511e4, 0xbec5de04,
+    0x4c69ed03, 0xbabf283d, 0x199c0a35, 0x44c009a8, 0x657e9914, 0x073f8d86, 0xc687f10b, 0x515845e5,
+    0xccdef4b6, 0x0c905657, 0x0c59510e, 0xf4861936, 0xc819db4f, 0xbf994e25, 0x9cedd336, 0x4598f15a,
+    0xfb14f11d, 0x36d0d1a5, 0xd683778a, 0x90db915b, 0x59b8934c, 0xf1730538, 0x4e1b7117, 0xcbb60dc2,
+    0x76a4ae9e, 0xa9be6f3e, 0xf10af028, 0x147a7133, 0xebe08e94, 0x4c6802ed, 0xdee754d3, 0x7e3863d2,
+    0xda67db35, 0x8ba505a9, 0x03a128ac, 0x1e27f820, 0x9ce1e98a, 0x564ace30, 0x2ec1cb6c, 0xc7a45580,
+    0xb4963553, 0x75741e41, 0x599945b9, 0x17ec04c1, 0x340fb9d6, 0xd9cdd71d, 0xabea3b9f, 0xe54abc09,
+    0x9ef2f9aa, 0xee40a4b4, 0x14a1a41a, 0xa571424d, 0xb50978b2, 0x940b5431, 0x0876f382, 0xc0e11571,
+    0xa2d1ac65, 0xa0ebb7fb, 0xcbf8174c, 0x6d459b59, 0x97c0e6fe, 0xd66508d1, 0x3ee3536e, 0xcc16c6aa,
+    0x23946964, 0x6f865b00, 0xb9d33102, 0x1d9d03eb, 0x0f3bd7a5, 0xfc2843ce, 0x47281b51, 0xe3a8338f,
+    0x38a6d262, 0xfaafc458, 0xdf11f173, 0xf46ab4f2, 0xd58a9767, 0x0670933b, 0x4a121a40, 0x5276bb1e,
+    0xa41b7826, 0x21218a8f, 0x42d6aeef, 0xccf9a50b, 0x0570d70d, 0x21c8ec3f, 0x2b272dc7, 0x77da4ef3,
+    0xd7b7ee3e, 0x5f50a08f, 0x5965b86c, 0x33e00e3b, 0x6a9af4d8, 0x733d7975, 0x771f97ac, 0x4a5a2826,
+    0xd3623bb7, 0x84ce5ca7, 0xa7dfac4e, 0x43dda216, 0x6ffd47c5, 0xeaa4cb49, 0xf72cf4a8, 0xe1068de2,
+    0xc4a34fcc, 0x543b584d, 0x29b8470c, 0xfc4a6437, 0xd1e17993, 0x89c80d02, 0x8d8c2cf8, 0x7a73e00c,
+    0x5028892f, 0x229c0ed2, 0x3e72dbbb, 0xae491e61, 0x9b3e2329, 0x3aedbf4d, 0x2e74d5bb, 0xf3268933,
+    0x4538657e, 0x92aefad9, 0xfe12f28f, 0x7145b7b1, 0x65a63482, 0xccfab076, 0x3487cc9e, 0x3388f829,
+    0x00c33e34, 0x8a1228c3, 0xa3b5cef3, 0x25807f19, 0x44120c84, 0x8ce0ca46, 0x15109543, 0x9a11469f,
+    0x14ef3222, 0xf8c2e7f3, 0x8f4e757a, 0xc60042eb, 0x189b2cf6, 0x03d69555, 0x6c9a8534, 0x8adc3c7b,
+    0x5df3caee, 0xf8fa9e4b, 0x4156fcd2, 0x0e1ebfdc, 0xa8880a91, 0xd8c8577a, 0x643d7229, 0xb3356124,
+    0x4058bc3f, 0xc1d2c939, 0xbc4fe828, 0x4bc8b457, 0x7379dbb1, 0xf834ab8f, 0x29607618, 0x5c4500f2,
+    0xb5d4b8bd, 0x8b248ac7, 0x2dc70c7c, 0xeeb6e628, 0x35c71784, 0xd5de7b6b, 0x8bde6ed2, 0x95e412ef,
+    0x286e16b6, 0xd9c29c12, 0x9b80107a, 0xbe5968aa, 0x9e3a80fe, 0xad72a822, 0x36f4a361, 0x2561e27f,
+    0xa70b43aa, 0x81eaab12, 0xad374560, 0x7103bcbd, 0x7fd6c417, 0xa7d6761d, 0x39aa9b22, 0x99eed77f,
+    0x8cf5d6b8, 0xe4887eca, 0xd8bdaee2, 0x4bcb9909, 0xae79493b, 0x45d61fba, 0xdc0f9f2d, 0xdc2476e2,
+    0x46358094, 0xd27edc60, 0xae547e1c, 0xfe0f7619, 0xbcf380c4, 0x2b3fef27, 0x546ae1c6, 0x616ff427,
+    0xb4a04266, 0x5a70dd18, 0x4b1b9398, 0x59322395, 0x8d574d2c, 0x71c1aab9, 0xf8de4076, 0x9b34c065,
+    0x294056f5, 0xdb89009e, 0xc5a3ebbf, 0x8a5a7969, 0x9b9f9a4c, 0xb5f095c5, 0xcbf341e0, 0x83af2838,
+    0x00000000,
+    0x552714bc, 0x317076d0, 0x08588ab8, 0x98be66bc, 0xdfdf461e, 0xac5b9254, 0x80721314, 0x2cc9a4ea,
+    0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000096196304190416209014353125244491244\
+                          64130795720328478190417063819395928166869436184427311097384012607618805661696 */
+  { 0x00000000,
+    0x2493a435, 0x55ebd4d3, 0x554086cf, 0xffe88013, 0xfbb791af, 0x0dfbe0d5, 0x7c902d61, 0x8d8957d7,
+    0x567a6f86, 0x31cea0df, 0xb4ebcfa0, 0x23f5faba, 0xf3e54ecf, 0x2a4e8bb3, 0xaad60cf8, 0xf232e560,
+    0x65dd860e, 0xd9844bc2, 0x8caff0fa, 0x8f223f21, 0x8f120779, 0x15023901, 0xde1131f0, 0xcfdb5001,
+    0x760217c6, 0xd2c14151, 0x70a0e3dc, 0x274c1ae6, 0x45ca4643, 0xe4989d9d, 0xb836b7a8, 0x9d839d71,
+    0x840e5d21, 0xb42e6145, 0xfbecc002, 0xa1f907e4, 0x7980ee03, 0xf4bce510, 0x0ce9e4d2, 0x92aff62e,
+    0xaba0a9bc, 0xca52c448, 0x38b671d8, 0xfb0e94de, 0x996c8a0f, 0xff96b7f6, 0x6899ec24, 0x21a33145,
+    0x86c886f4, 0xac8fc6f8, 0xcc0060f1, 0x145359de, 0xad48e1c0, 0xa509c919, 0xe0caccd5, 0x063aa921,
+    0xe89bd316, 0xd69b6b13, 0x7a7e91a9, 0x7f919d7a, 0x401f89fd, 0x60b3e252, 0xe23412b2, 0x9ce2cc48,
+    0x9bc77b51, 0x75b7709d, 0xd74454cf, 0x7b7ef382, 0x02e55dc9, 0xf99e0f2c, 0xf735b216, 0x542c47c2,
+    0x918a2267, 0x9ed7a6e3, 0x980818a5, 0x90e62e36, 0x17a277b8, 0x034446ac, 0x2f7c2137, 0xde3ffa5d,
+    0xadb89f39, 0x1a2f7dd4, 0x5daf9bbf, 0x0938ce2b, 0x1ea2af23, 0x82286112, 0xb5897b6a, 0xa3a67f00,
+    0x04ddd082, 0x6eb94b3c, 0xf2bf70c9, 0x7702ca04, 0xbbd74cb1, 0x2dd8259d, 0x36452177, 0x9b684911,
+    0x5aa7bab0, 0x28b37704, 0xff2ad3d3, 0x7b801ec7, 0x6460042a, 0x949faf9c, 0x55ab5acd, 0xbfd240c0,
+    0x09c256bd, 0x95375c65, 0x9e828300, 0x1f4793cc, 0x994978f3, 0x96739146, 0x8899976b, 0x30d51e7b,
+    0x9578bc0b, 0x3e68f6c9, 0x80d364a5, 0xa3582289, 0xfef05eea, 0xd4fd8383, 0x2cb35b98, 0xb608ca2e,
+    0xc384a0a0, 0x01aa83fb, 0xfed73755, 0xc72519b3, 0xc43232b9, 0xc7ba4113, 0xc54f804a, 0xe4fe099b,
+    0x62052d23, 0x76718373, 0x919c164b, 0xf94d3b09, 0x2ac0d8ca, 0xfd97f960, 0x7cb72c84, 0xb8e54074,
+    0xbc81e143, 0xf0b73d9e, 0x9b5cca42, 0x09bafe82, 0x4cb0a3c7, 0x64323bce, 0x7d9d9b39, 0xc4b557e0,
+    0x53ed8f89, 0x23f926a8, 0x3660648e, 0x5a7df203, 0xa2c878ee, 0xa6a051dc, 0xfea19d62, 0xe88330da,
+    0x2c5be738, 0xad621dbd, 0x104fda00, 0xa943048a, 0xde85f61a, 0x7084df03, 0x4a5333f2, 0xb560489b,
+    0xd7d03167, 0x8ce5b7dc, 0x469c3e5e, 0x6dbc78fc, 0xca314b42, 0x13021609, 0x3c9828e9, 0xd415c04b,
+    0x4713e216, 0x446d4c33, 0x6b1cb9ad, 0xae31a82b, 0x7109774a, 0x6975882f, 0xd094aac6, 0x6523875e,
+    0x5e10ac99, 0x06d3fd3d, 0x9fab048a, 0x46e30489, 0x0f8ace74, 0x23b0431a, 0x394386d9, 0xc5afa334,
+    0x4d14bd2f, 0xf8c2febf, 0x858582ca, 0xe3abbf84, 0x183e6ade, 0x1edce9e3, 0x4961a491, 0xc3fcde7c,
+    0x64ae9e23, 0x039c71a4, 0x89ac4661, 0x42815fa7, 0x334b1424, 0xb2194348, 0x121d7ebc, 0xd5ead9f4,
+    0xe9a91ab7, 0x05ec0ee9, 0xfc791b03, 0xae4a6a7a, 0xc1a50dc2, 0xc4cd924e, 0xfeb5e26f, 0x0c7ff9ac,
+    0x64e4cfc7, 0xfbafe36a, 0x9ae27320, 0xccacc93a, 0xd410fa90, 0xc761767d, 0x4e33faef, 0xf559ef85,
+    0x8829142e, 0x8808c5e0, 0xf47e93da, 0xd37e7dd5, 0x72f34dac, 0x8fb53157, 0x764f1dc5, 0xbdf7475f,
+    0x1de7c70d, 0x452304b7, 0xc8ed23c1, 0x2f82f6ff, 0x43010557, 0x3e77a52d, 0xe1a1ba6a, 0xf9b77ebf,
+    0x65995034, 0x2efb262b, 0xd52dc3fe, 0xb937aef2, 0xd586e237, 0x607af8dd, 0xea21212a, 0xf660071a,
+    0x6d480c0f, 0x1f5d815e, 0x457688ba, 0x45afec9f, 0x48f56e43, 0xae9d298b, 0xfa30b1c8, 0xd246d92d,
+    0xe3b76cca, 0xd94f0fb0, 0x7b556a4c, 0x4517b559, 0xc145810a, 0x9c299f35, 0x831d69db, 0xff770c46,
+    0xf7216b07, 0xde1174e9, 0x914e606f, 0x87d6eaed, 0xc4efbf01, 0x0be2bf4e, 0x145ac2c9, 0x8f246937,
+    0x4a20ae7e, 0xc914cfcf, 0xe5ea002e, 0xb39f6970, 0x3baa948c, 0x94e5fbeb, 0xf2f7a734, 0x88563c7c,
+    0x82322d4d, 0x11251df5, 0x9dc60c7a, 0x1fcf7660, 0x3146a8bc, 0xd442dbe7, 0xa1c9ced9, 0x4a9ee6cb,
+    0x532033e9, 0xa051daec, 0xdc685367, 0xbfe281df, 0x4c129039, 0xbe88a10c, 0x6581e4a4, 0x8c0449cd,
+    0x30115d96, 0xfb2c178f, 0x0b575e60, 0xc70c0f71, 0xac6a208e, 0x69082d84, 0xde7f1bfc, 0x85df543a,
+    0xc6d2f3e1, 0x320062b4, 0x0c865a3e, 0xb835a758, 0x3b028b60, 0x9c2ae8a3, 0x1caff309, 0xe8c2f44b,
+    0x8b14c7db, 0xfbc1e55d, 0x310e9bbc, 0x0a022a0a, 0x824b88e6, 0x2a0b12be, 0x78a9c96e, 0xfaa75b79,
+    0x88b9b3ce, 0xe0231dfc, 0xe9cb4e41, 0xb1a1cd7d, 0x6269e6b9, 0x8fda51cc, 0xe38ed995, 0x901cb579,
+    0x7dd480fd, 0x34fef3f7, 0x34c013aa, 0xa5082666, 0x4ece8796, 0xf036e13e, 0xd6ec963f, 0x013892b5,
+    0x5b762952, 0x866b1a23, 0x96e5523b, 0x5298e276, 0xa0494b77, 0x14186628, 0x6f54cb03, 0xc0078f94,
+    0x45310af8, 0xdea3fdc6, 0xd68d1076, 0xc3f32601, 0x8399e81d, 0x9cc2a190, 0x00690ab4, 0xb3fadb43,
+    0x3e0a5ce9, 0xf8f70639, 0x26f3e742, 0x1222b473, 0x83cdc1da, 0x1a75d5c6, 0x21e22296, 0x82099b1c,
+    0xc424a22b, 0x6c36c67f, 0xe2576b79, 0x5ce435d8, 0xd241ad4d, 0x040b0215, 0x5916a77a, 0xc9d00610,
+    0x5d3f0bd6, 0x419ec515, 0x55055627, 0xec464f79, 0xa3319f00, 0x480fcbb4, 0x0074434b, 0xf721701c,
+    0x334ec884, 0x2b208c66, 0x7a98501b, 0xd2af6b34, 0x1dc474bb, 0x69536e73, 0x9b123247, 0x99c9dac0,
+    0x8cb663f0, 0xe5f945b0, 0xdf5f2053, 0xc92accfc, 0xd217186e, 0x4b025bb0, 0x86b6599f, 0xc6372df6,
+    0xb7080b30, 0x2a3c034e, 0x82dd2920, 0xbf6a8220, 0xd3a87fb2, 0xe7a19ff0, 0x4554a111, 0x2f9c730c,
+    0xbebb89a1, 0x269082e8, 0x62acaee8, 0xf04afec2, 0xe0e25d28, 0xcdca542e, 0xda7f7c24, 0xf9a4f259,
+    0x12cca00d, 0x62dcee80, 0x9e310e75, 0x5fba2b16, 0xaf0ff9b1, 0xa538ac07, 0x813360df, 0xb7a32f50,
+    0x53090fb2, 0xca2828a3, 0x753d0f73, 0xeecb52ef, 0xcce68f2c, 0x0fbdcf21, 0x7749dc59, 0xa5082a9f,
+    0x7572e38d, 0xf17bc175, 0xf6107de0, 0x6a36ef5f, 0x5721147f, 0x8cb4c2d0, 0x9d3469ba, 0x8785a4f1,
+    0x4e528937, 0x37603d3e, 0x162d9017, 0xff7c0dd0, 0xfe39bffd, 0xded2e180, 0x79e2adbf, 0x8963b278,
+    0xd7f36187, 0x094268d7, 0x0f1de024, 0x50516e34, 0x0e2253dd, 0x67434d90, 0x65f2d51c, 0xc7217f42,
+    0x28658d6d, 0x37f038d0, 0x62fa664d, 0x1433b124, 0xabc273c7, 0x7b33e951, 0x0813996f, 0x3436a1fc,
+    0x3dd268b5, 0x91ea3447, 0x1919a03b, 0x9369c913, 0x9aeb10c2, 0xd812de70, 0xdc018f17, 0x3b406f54,
+    0xc03ae935, 0xd6db3675, 0x85eea779, 0xfa5b1a5c, 0x715e5908, 0xa0f3b258, 0xfcae4276, 0x6ad1c8d0,
+    0x97a01f6d, 0xfb49fe8f, 0xd93d4ae3, 0x1962048e, 0x6beaa6ef, 0xa4441dcb, 0x6e379557, 0xd7cb41e8,
+    0x610eef53, 0x1c6c025a, 0x6c21a2ba, 0xeef8c810, 0x5c8f5aeb, 0x65936ad6, 0xeff08d43, 0x90977e52,
+    0x06239474, 0xddda1a3c, 0x23fd5d40, 0xb6aa697b, 0xc6b0e83a, 0x54134b27, 0x1d7733c5, 0x0ccfbdc9,
+    0x1b388ea4, 0x7294ad62, 0xaf0c649f, 0xcfa12bd0, 0x4149f789, 0x201b5dcc, 0x90d86208, 0xdc0a92ee,
+    0x13bf4bdb, 0xe430cd96, 0x4d060553, 0x4b4747e7, 0x5a55b3dd, 0x702718ca, 0xf6bed86f, 0x58cc337d,
+    0xd7a9c1c8, 0x28a19938, 0x575101fc, 0x89efc615, 0x3e7fff51, 0xd34ef31c, 0x7df32d79, 0xf626b75b,
+    0xf3611905, 0x3e0375ca, 0x38043181, 0xa1adcab6, 0x7ba2367a, 0xd0c377de, 0x5ffe31d4, 0x3054c3af,
+    0x67471e59, 0x48ac3fb0, 0xecbf3ee6, 0x2de0e2d6, 0xad52ab2b, 0x7443054a, 0xfff76b15, 0x19bdc609,
+    0x55e19561, 0x1bb9d3b9, 0x6b750864, 0xe51812a0, 0x30b5b13d, 0x8f54d64c, 0x2ae641e6, 0x631ff0f6,
+    0xd279a2a4, 0x4b065585, 0x44faf7ee, 0x7a52489d, 0x38c34f38, 0x2bf4b9c8, 0xdc41d873, 0x40aa3156,
+    0xfd598416, 0x845ce72d, 0x23dff013, 0x0c0aa088, 0xbfbdf80a, 0xea4d8a5a, 0x795dd321, 0x2c316a38,
+    0x4b9a3989, 0x6eaa7fc7, 0xaa18ffb8, 0x1228a76f, 0x43078ca8, 0xafd4a6f8, 0x97370567, 0x28de3aca,
+    0xb0c29398, 0x77b2550b, 0x54a5b08c, 0x1b61db4a, 0xa6571eb7, 0x0b42bc04, 0x3370171a, 0x6fff535c,
+    0x7ec5b637, 0x1e57e204, 0x4e156251, 0xd2e4ee42, 0x87b14b4e, 0x079ba31b, 0xdc01458e, 0xe2510fcf,
+    0x1b154ec7, 0x246172cc, 0xc19626ac, 0xba754665, 0x061af144, 0xc6eac738, 0x332569d9, 0x774ba390,
+    0xe41097d4, 0x1837aec7, 0xca577530, 0xad513bd0, 0xb5bd06ae, 0x6d239564, 0x28a5c922, 0xf4b20852,
+    0x0e1ef9df, 0x164e7c05, 0xb5b99cf4, 0xcfa2e276, 0x793bdb2a, 0x7b08f929, 0xb06ca6eb, 0x2ad86cbd,
+    0x48894e15, 0x509dd91e, 0xe14aedea, 0x14db93bd, 0x762cb53a, 0x311158fe, 0xe05adea3, 0xb36b4331,
+    0xf97ae020, 0x137c09eb, 0x0729a1ff, 0xb483a4ab, 0x440bc26c, 0x871f67d9, 0x09dccf77, 0x733aa0f8,
+    0x557b1a7d, 0x1a4696e9, 0xc973e839, 0xa52b89a3, 0xf862c7cd, 0x64f3fee4, 0x5613c22a, 0x4fef5f3e,
+    0x8c7d7975, 0x6f23936e, 0x10eb5c38, 0x9193db16, 0xa5af552b, 0xf50a7321, 0xc125f424, 0xf648b631,
+    0x3b08f95c, 0x001f39a7, 0x4864f5a4, 0x1b10ac27, 0xa8c6f00a, 0x6333896f, 0x2a91998c, 0x19d40b87,
+    0xa70adcce, 0x01f5eeb1, 0x7aedea11, 0xd083cf1d, 0x649ec30c, 0xa197a661, 0x537f302e, 0x7c966c9f,
+    0x373ebfe6, 0x1c67ab2a, 0x036f1987, 0xcedf726d, 0x12851e5d, 0x8004ede0, 0x4ad762de, 0x32799382,
+    0x052208e4, 0x4c1da688, 0xcdf905b3, 0x8a387ded, 0x181ba7a3, 0x68c68272, 0xf023dbf7, 0x645508b6,
+    0x4cb26371, 0xf0001dae, 0x0d256329, 0x58867fdf, 0x1703f8b2, 0xe754c877, 0x05f971d9, 0xd065ac98,
+    0xa6c08fa6, 0xa861785e, 0x359ed22b, 0xe521d812, 0x29c02539, 0x9028c1fa, 0xba33713a, 0x71d42a7d,
+    0xd610a9d6, 0xbbaef1f5, 0xae64563e, 0x4e8df3a2, 0x4a1745ef, 0x0fed2681, 0x857685aa, 0xe293f86e,
+    0x9090a2a1, 0x12d162c5, 0xd6dd417b, 0xfb53f3e3, 0x7813c4eb, 0x1488371c, 0x141bb0e3, 0x1194e1d6,
+    0x5eb59ecc, 0x4b025152, 0x89755de3, 0xa59da073, 0xfdad499c, 0x45469381, 0x1dc1ab5f, 0x03491dc1,
+    0xbc0b8687, 0xe83d0157, 0xaa4ae692, 0x670426a2, 0xf8f109b6, 0xe0ea904e, 0x6d976bbb, 0x299e2405,
+    0x482ca983, 0x6f4285bd, 0x9c3a84f7, 0xbd536175, 0x43ed8ddf, 0x73bf0256, 0x9cdc7d29, 0x173220f8,
+    0xe1d4dfd6, 0x21ccd454, 0xbffb596a, 0x7b4a6f27, 0xac905dfb, 0x05ca1863, 0x27e70c92, 0xb364be4d,
+    0xe98a5887, 0x2870cd39, 0x4b803b33, 0x41c2b0ce, 0x2cf4d4f9, 0xb2d8a415, 0x55ff1d65, 0xdafb27b8,
+    0xda0b4d2d, 0x535496c0, 0x8439613a, 0x065e50a2, 0x00758a3c, 0x704f1741, 0x91355f64, 0xf20581fb,
+    0xf4dd05a9, 0xa2e209a2, 0x46f1f324, 0xfc586a9e, 0xd6c5d244, 0xfeb75ebb, 0x24074eaf, 0x40d96a91,
+    0xa6ff68de, 0xb91de59b, 0x5a05ccc7, 0x0e1581b6, 0xd2bd68ce, 0x44a5b23c, 0x1622f696, 0x8ebfed10,
+    0x76247d1c, 0x4fa39f5d, 0x23c6bb83, 0x0cf051a8, 0xefdfe6d1, 0xe4fca011, 0xdfd872b5, 0x6c00d34a,
+    0x9d926098, 0xa157a93d, 0x757a0707, 0xf5c1b622, 0x5925ff98, 0xda7baef3, 0xc3f56e90, 0x18be1e01,
+    0xa734b1c4, 0x4aba3f7a, 0x9ce71756, 0xb63a0434, 0xa5961e1e, 0xf349ae09, 0x8c71a13c, 0x8393f6f8,
+    0x72dd6908, 0x1b0c5ee6, 0xbeae53f6, 0x40e79b50, 0x25121543, 0x7edb2c26, 0xd7eda945, 0xfd42418f,
+    0x6f231a9f, 0x59e62a05, 0x44c0d1fb, 0x5665ebed, 0x0645c25b, 0x6074f480, 0xed085c07, 0x149c06b4,
+    0xfee4a8ba, 0xe79c40a0, 0x1058873d, 0x931cc7ca, 0x501ad751, 0xf90a76de, 0x2c60c491, 0xdca2eaed,
+    0x999d1bcc, 0xf2812530, 0xfeabeb80, 0x11775c96, 0xcaf77fd3, 0x153c2f72, 0xe50de28b, 0xdb62dc3c,
+    0x8ecb51f9, 0x113ae390, 0xf7a1ef3a, 0xa47cccc7, 0x0e19a75e, 0x219cd65c, 0x932a49d9, 0xaea37e5b,
+    0x8a476f8c, 0x9da29a96, 0x34272c70, 0xd825869f, 0x25d3f271, 0x7ff8dfbb, 0xea16f750, 0x91dac7e6,
+    0x5583a2f9, 0x1548aac0, 0xa2a87adf, 0x3b12ef3a, 0xf6fe4ac0, 0x44787a8c, 0x45bba53e, 0x7afc9f5d,
+    0xaac35582, 0xbdddb5c6, 0x3d5568bb, 0x5e3a30ec, 0xa9e3e8aa, 0x9166a3d4, 0xa2403853, 0x8acd1ef4,
+    0xa30fbf4a, 0xddc9309a, 0x1fac29c6, 0x73811a8a, 0x570526fb, 0x04ee23d4, 0x129a8b4a, 0x810c81c1,
+    0x6bf35419, 0x692c5195, 0x2be9d756, 0x67d3fd9b, 0x5d7b0d53, 0x42f864df, 0x7a1ccffc, 0x5890dec8,
+    0xc24eee52, 0xef2d5b51, 0x0d6d337c, 0x5501b007, 0x3dec0afe, 0x62decd31, 0x3180ee11, 0x0f00c28a,
+    0xb7dfc6f7, 0xa3cdf64d, 0x79872dab, 0xa2bcd9c5, 0x66ebe944, 0xc2788eeb, 0xec423479, 0xebcc11b1,
+    0x1c16685a, 0xb36b0702, 0xabc5fbd8, 0x75b7e30c, 0xa7dc0394, 0x95554a8b, 0x5ea46166, 0x0c3fa232,
+    0xdcfff705, 0xc60a65be, 0x0589cf64, 0x62c57162, 0x51732f52, 0x34314583, 0x5cc337b5, 0x09e1eee7,
+    0xf7268bce, 0x919f5d4f, 0xbfd4824e, 0x6962c96f, 0x41bfb294, 0xf57b4e99, 0x22617188, 0x5533ac42,
+    0x9863075e, 0x119e7bcf, 0xf941a368, 0x848263b3, 0x47b0deb3, 0x8afeac96, 0x8c70aa91, 0xe38cf663,
+    0xcee5595b, 0xca084b75, 0x12db68ad, 0x53be4d20, 0xbb1018ff, 0xfc03279f, 0x8a58e20c, 0x9929f489,
+    0x2ca8a162, 0x806ee350, 0xc5d42387, 0x87a4464c, 0xd8362fda, 0xde5773e4, 0x856931dd, 0x8d20c020,
+    0xe255caf1, 0xd9337f17, 0xf960ea46, 0x8eb7b5b6, 0x274f779e, 0xad941238, 0x10c30aa0, 0x71366f99,
+    0xa7d0c66b, 0x1628ad20, 0xf5699b31, 0x0501db53, 0xcb6b3474, 0x3b70d812, 0xcf29c7e6, 0x07b33e62,
+    0x4d053917, 0x1bf8feab, 0x549f6b36, 0xc166d344, 0xfb6eed6b, 0x2d2a36e8, 0x4e411c98, 0x4ac96f9e,
+    0xc9de797a, 0xe79bc22c, 0x837e27ee, 0x62b04077, 0xe4987ee2, 0x0f0f8524, 0x6574fc54, 0x0c8a1036,
+    0xc1423fd6, 0xad62cf88, 0xf12a4435, 0xb3a4423f, 0x0d72668d, 0x6bf7642f, 0xfa115a28, 0x3605fc00,
+    0x7c44bdb6, 0x4691cfad, 0x2bf70658, 0x45c95f19, 0x23641a90, 0xc8a69250, 0x2b1ef589, 0xd0575207,
+    0x1b64d9a4, 0xb94c6e7c, 0xc50de4f3, 0x37fbfe6e, 0xefc81cb2, 0x862c52e6, 0xd51ea3c8, 0xa75c69ce,
+    0x8579bc4f, 0x94cd35a1, 0x579cf24b, 0x7e00f5df, 0x4158aef9, 0x63093427, 0x415fcec3, 0xb9be2b7e,
+    0x3f2d9de7, 0xe961092e, 0x46ca5263, 0x942df624, 0x87917088, 0x1089b2d0, 0x5e2aaf3a, 0x83f9bfb4,
+    0xe3b01498, 0xc67419cb, 0x38cbb9e2, 0x575aa851, 0x50b425ea, 0x86c65e15, 0x50826c71, 0xb79b21b9,
+    0x00000000,
+    0x2a938a5d, 0x18b83b68, 0x042c455c, 0x4c5f335e, 0x6fefa30f, 0x562dc92a, 0x4039098a, 0x9664d275,
+    0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000048098152095208104507176562622245622\
+                          32065397860164239095208531909697964083434718092213655548692006303809402830848 */
+  { 0x00000000,
+    0xc55dae5d, 0x1c49f0c9, 0x1633e39f, 0x5242d73b, 0x3478613e, 0x93ef3516, 0xbf353ed9, 0xa77126ac,
+    0x30fc8f88, 0xfaa98c46, 0x3c72203b, 0x8b5c3573, 0x9dcf21a7, 0x4a75c2c7, 0x5e5f8069, 0xbe01cdc9,
+    0x21977cb0, 0x6cbea827, 0x0dfac39a, 0xe49651a0, 0x9cacf348, 0xeaa0585e, 0x5cc69153, 0xa53fcfdb,
+    0xe1ac5456, 0xd0797eb5, 0x8ba94033, 0x43c45b16, 0x2fe13748, 0x3cd53fb7, 0xd3d1e36d, 0x56705d55,
+    0x697eb7b0, 0x4af9b1ec, 0xcad18419, 0xcea7b374, 0x8e8524dc, 0x202ff5ec, 0xc895810a, 0x6b776aa0,
+    0x93162002, 0x93221d4b, 0x95e5c170, 0x04819289, 0x482e8014, 0x5708db80, 0x33aeedd9, 0x5ba0da76,
+    0x186ae3e1, 0xb2753d15, 0x514b4276, 0x3b0f2f5c, 0x5d77d5c1, 0x897b47d3, 0x02b91dec, 0x5ebc7cb0,
+    0xdb3678a6, 0x05db4dd5, 0x688f0dd9, 0x3a41c70d, 0xe832069a, 0x8f1b338d, 0xb6de5533, 0xc8e1c840,
+    0x2a38dc5a, 0xcebf21bd, 0xb5f5beb1, 0x762d83e1, 0x2c295f7c, 0xfcfbbe40, 0x4e974da3, 0xea5b8284,
+    0x9bf99d5c, 0xa5567c78, 0x75d355a2, 0x170481e6, 0xfe447cf0, 0x2439e9b9, 0x5d1cb11a, 0x9535eaa9,
+    0xce94a367, 0x2f225e76, 0x9db3f8a8, 0x773d501d, 0xa75ad829, 0xd80d78aa, 0x105c5169, 0xc33318ac,
+    0x71ed9490, 0x9781f6aa, 0x0d4da1cc, 0x6b4da122, 0xb73221bc, 0xf8926624, 0x45df9c80, 0xde1bb71d,
+    0x50308280, 0x0770f9ae, 0x08391cd3, 0xb1f627bd, 0x3c141dd5, 0xd22bf1cc, 0xfb342b50, 0x09ac547c,
+    0xd72dd95a, 0xd05773c2, 0xbf52f7c0, 0xe6044f99, 0x42043bbe, 0x8ab9d50c, 0xa2781dda, 0x729e2d9e,
+    0xca1c1859, 0x32dc92db, 0x52155623, 0x3ab35872, 0x79990096, 0xaf41233d, 0xa8f2a5bf, 0x0603b34a,
+    0x6362a826, 0x092b17a0, 0xfe822f15, 0x272a5125, 0x88f4ec2d, 0xe0b7473d, 0x27c471f7, 0xa744cdb1,
+    0x5e9fcad4, 0x5dc9a549, 0x81db7ee5, 0x2bd3665e, 0xb4d627b7, 0xcb9a957a, 0xe64cb3d2, 0x9ca48331,
+    0xb3404f0a, 0x5fba4969, 0x5aeb6404, 0x031a8507, 0x7dec24ab, 0x3f72d6d7, 0xbbab1ebb, 0xbf792abd,
+    0x09868cfb, 0x148f5a9b, 0x5d5aefb9, 0xc2452147, 0xe2dd9957, 0x37d85f61, 0xad7ed81e, 0xd94f745d,
+    0x9b0c9c0f, 0x683abcaf, 0x25c6665e, 0x1c0fa768, 0xa94fd4e8, 0x2725b89d, 0x8aab6c74, 0x001bf5e2,
+    0x7669fcd1, 0x19051474, 0xdf6904d0, 0xc29db0ec, 0x757ad768, 0x3a2fb3e7, 0xf15fb02d, 0x852e0392,
+    0xb68eab95, 0xb9e6ad37, 0x101985d6, 0x7997abe1, 0x8f502ba4, 0x2df8b643, 0x1bcbb6cc, 0xbb30f3e4,
+    0xa772ceff, 0xa7b8ce8f, 0x3c901020, 0x31ac753a, 0x810fd710, 0x80a2559f, 0x8a6c10cd, 0x9f7bd875,
+    0x84e493a8, 0xd211d30a, 0x69b28f4e, 0x1659c41a, 0x566542f0, 0xee33dca9, 0xa730af1c, 0xe17bd7af,
+    0xf3db9457, 0xb7072361, 0x3b3b5efd, 0x9e2300f9, 0xbf2e9236, 0x59f061ae, 0xc312cfc3, 0x4a1012c9,
+    0x32e02004, 0xb46ff156, 0x8c232c6c, 0x404855e4, 0x5c5c55f1, 0x4b096131, 0x1aaa0f17, 0xd26d7a20,
+    0x04dc89ab, 0x363bb829, 0xe2d2c255, 0xbf3c7e24, 0x677507d6, 0x43f7c2d3, 0x3f4ea83e, 0xb2cb791e,
+    0xa327f05b, 0x977aeefd, 0x9c887962, 0x6080df0a, 0x02116ebd, 0x0e254c44, 0xeaa15515, 0x93921b13,
+    0xfd28d1bc, 0x1e90bdff, 0x1ff80f95, 0x8c7e8c6c, 0x29e3ee65, 0x96932fcc, 0x20b6d627, 0xede197b1,
+    0x3c36a23d, 0xbd9f433e, 0xb03fd531, 0xdf7af609, 0x541aa85f, 0x8fd20511, 0x7b747560, 0x6e786527,
+    0x106860fe, 0x595c2beb, 0x31b58515, 0x66bfedc3, 0x78acade0, 0x26dc89a8, 0x3ddc9258, 0x40552b8e,
+    0x02e05050, 0x45ad077f, 0x5ab1e0fd, 0xa8471c7a, 0x04d2ecfb, 0xc8733436, 0x933459c5, 0xe6257950,
+    0x900d2418, 0x58e73270, 0xb13a0d45, 0x1134a952, 0x1dd136e3, 0x45bc9c55, 0x87ae3338, 0xcc0c91b4,
+    0x5e35d3c2, 0x78c2309e, 0x6e9db135, 0x9a8cd152, 0x3ad5814d, 0x799d215b, 0x61f2aa57, 0xec3b45d3,
+    0x9ec2239a, 0x75364eb2, 0x576883fe, 0xe3585c5c, 0xb7067e4c, 0x7bac19e5, 0x2cd4b118, 0x4e2ac384,
+    0x83f5a652, 0x474b7c6e, 0x23cd22fb, 0x18677fb8, 0x11dc4554, 0xe0457f9e, 0xfaf64f85, 0x80d08c64,
+    0x1de79a8b, 0x1d73082d, 0x62790359, 0x104da3e3, 0x5eb2def0, 0xd30a05ae, 0x4def6b58, 0x36f8d7f3,
+    0xcda3f468, 0x1eed2803, 0xaf34e419, 0x1a24279d, 0x9d64dbfe, 0x5b1aab1d, 0x27782c24, 0x4814c3df,
+    0x64cc9157, 0x1749e9e6, 0xc62ad364, 0x75422e7b, 0x60e5aafe, 0x68cab008, 0x43f9edaa, 0xb2b42540,
+    0xb566e52d, 0x6635d242, 0xed84e5ae, 0x7ba6346c, 0x8e5d625b, 0x149c0d66, 0x196bf833, 0xceac20de,
+    0x3784551a, 0x68a2a859, 0xeaf1d8ee, 0x0f3dc0ea, 0x175919d6, 0xd8df40ed, 0x790ac8ce, 0x3c04b6b6,
+    0xd585460d, 0x3071a034, 0x226423a3, 0x80fb5c23, 0xe439a810, 0xd1efa55c, 0x637899a3, 0xb697ffc4,
+    0x15e75ec6, 0xc60ac040, 0xec6b611e, 0x0dc94cb2, 0x86bcbb7e, 0xf6f774fb, 0x338f4c64, 0x30eb32e4,
+    0x4d5d96fe, 0xacff7870, 0x1f9c1c4f, 0x870fc312, 0x4bf2dcf4, 0xb0a9d48a, 0x5a54e878, 0x88838361,
+    0xdb6800f4, 0xc3e37d10, 0xa48f2315, 0x79e25b7e, 0x4cc41b1c, 0xf2dbd7a6, 0x3f090401, 0x6a4b941a,
+    0x135e37b5, 0xe52cc1e1, 0x3e32b3e7, 0x628f0d64, 0x9ab3c94e, 0x12a5edf2, 0xb4f0eca7, 0x0dda4f26,
+    0x6c86ceb1, 0xa435f3c1, 0xacee0b41, 0x49cb3a8a, 0x21047dd6, 0xe6f6f820, 0x53d52fdf, 0xc0e190fc,
+    0x90dfc1fc, 0x423fcef9, 0xc4cf480d, 0x1ad35a68, 0x11086df0, 0xaf0aaf31, 0x9f052b09, 0x3633b1d8,
+    0x055b0174, 0x563ba8aa, 0xc29a73e5, 0x72cb6049, 0x774b92c4, 0x4ff7c9f7, 0x37b5bf25, 0x67c2a36d,
+    0xc1318983, 0x000372ff, 0xaaf003d5, 0x1240e119, 0x1a7bed0c, 0xb062588e, 0x2f2e8077, 0x2ec3d6f7,
+    0xf1928838, 0x69fee6c7, 0xd8f61652, 0xaf35745f, 0x6c133cff, 0x46b3dab0, 0xf77114f1, 0x8edafe57,
+    0x4f7e9a35, 0xfe02c1c3, 0xc0e0b92e, 0xc4b221bf, 0x86f166e2, 0x6edef9b5, 0xdcb06fae, 0xc350c4a5,
+    0x8afee587, 0x67d84718, 0x7aebc358, 0xbc307414, 0x314acf50, 0x139fcfac, 0x29350b59, 0xaa4bf94b,
+    0x38c64f1e, 0x5623af95, 0x2e7c5e42, 0xf6829503, 0xc8671450, 0x7c464707, 0x5b771692, 0x3adfd892,
+    0x6aee5cbf, 0xda17f535, 0xb3869131, 0xb98be750, 0x34ccd856, 0xad97608f, 0x0c63df7a, 0xfc2ad696,
+    0xcf5365b4, 0xf517eb9d, 0x47be91b3, 0x204d83bd, 0xe24bf822, 0x23363ca9, 0x410a9f07, 0x058d31cd,
+    0x045a6199, 0xee895788, 0x0ebb8603, 0x45aacc78, 0xd7478319, 0xdd14be3d, 0xeff6e7fe, 0x2426d388,
+    0x9efc607f, 0xab053257, 0xb661a7fa, 0xb6336290, 0xa99aaf92, 0xb9792a9a, 0x8224f78c, 0x590c98f5,
+    0x2ceb44fc, 0x6d9203ac, 0x13bbf17e, 0x7afc0b3c, 0x6ef5bf75, 0xfe771d80, 0xfe0ac319, 0x6308da85,
+    0x5c60b09e, 0x2232b989, 0xad86e84b, 0xe678ff92, 0xfef15fc9, 0x606f97a4, 0x16fa714e, 0xa1cd936a,
+    0xa88c44fe, 0x81a57f6e, 0x731322a2, 0x9d1b50a3, 0xa7d73c64, 0xa0944570, 0x7c7826ab, 0x90bbc23d,
+    0x28ab5dab, 0xeb1af79b, 0x51beb9ae, 0xe737f53a, 0x9ac48cc9, 0xed5281c6, 0x07be4529, 0xce21d42d,
+    0xcb3683fd, 0xf8b0bae2, 0xf84a133c, 0x74b890f6, 0x50363b7e, 0x8b1a2384, 0x95cd2b54, 0x3963b6c8,
+    0x4d6c1b34, 0xdfd63cd1, 0x42f9077b, 0x7ee4d619, 0x409ca4f7, 0x79045803, 0x29c5511d, 0xe0ee9044,
+    0x4d503477, 0x7ddab9b5, 0x7fffd4eb, 0x1121bf43, 0xef466e5a, 0x3f530124, 0x40b7842a, 0xc5620b72,
+    0x9cf77c6d, 0xd32bad46, 0x6e311d1f, 0x1ef91fc4, 0xd0c42c28, 0x91af2da3, 0x3527ddd7, 0x3fd22824,
+    0x50d1a17d, 0xdcbe4632, 0x26139950, 0x5b7cbdd9, 0x292bff11, 0x70990304, 0x900f9732, 0x273ffc13,
+    0x807425cd, 0x6ae2290e, 0x258afa7c, 0xf2598d60, 0xa54c852a, 0x6476351f, 0xa5833d09, 0x252c2f83,
+    0xcafd9bc0, 0x52071b58, 0xebb0e552, 0xb561ca58, 0xd372a1da, 0x4b61b250, 0x3c6059e4, 0xe5a5a8a9,
+    0x8b1fb6a0, 0x68f3701a, 0xed2df023, 0x54db5afa, 0x19285a46, 0x0107e5f6, 0x03cb8860, 0x0ae4e7e3,
+    0x2a2eb19b, 0xa3f6d93f, 0x197eec0f, 0xc28cb462, 0x8703d1b2, 0x83828ab9, 0x962e3b9e, 0x26806ec2,
+    0x7470b440, 0x7ba9f6db, 0x47e53207, 0x4b9eeb2d, 0x9b911d4e, 0xc1664e1f, 0x5413731f, 0xc6d5ba2f,
+    0x9df848e3, 0x88a23eca, 0x31322e92, 0x6e9a0d7d, 0xe0b7b6d6, 0x143f3760, 0x8cd6f7ed, 0x1c94038a,
+    0x9aa44205, 0x7378abfc, 0xfe8af3fa, 0x349a89e8, 0xd4782330, 0xdfac68d8, 0x9b4e3064, 0x04822ae6,
+    0xb4ef217a, 0xc45becd0, 0xec287b01, 0x12c47612, 0xac2ab028, 0x163acd66, 0xb9ff2e56, 0xe5990cc0,
+    0xaa9ef4a2, 0xfd997d7a, 0xd7c82444, 0x47d76d81, 0x848b2096, 0x6dcfd31f, 0xc3d030b0, 0xa8ec5f5d,
+    0xfa15fbeb, 0x90ba3f90, 0x8492c0ee, 0x765dbeb9, 0xc6d945c0, 0x6580c1a5, 0xe9b8b1a9, 0x2d818b43,
+    0xbcd2f438, 0xe844c4d9, 0xf5f4f150, 0x0ca5680e, 0xcc90f11e, 0x6467fcf7, 0xbabed1c8, 0x000bcdbe,
+    0x8e647f69, 0x7c43ae18, 0x85c2d079, 0x508b3863, 0xacd64e9a, 0x8fdb4f9d, 0xae4e7a6a, 0xe6b889a3,
+    0x4ebf624b, 0x924baccb, 0x6ea08e2c, 0xe9d4cf01, 0xcf7c81ec, 0xb7e306d7, 0x09d3bc14, 0x2c6ae711,
+    0x96b4148f, 0x87ae879e, 0xb1f8d3a3, 0x2c5a8676, 0x8afa4dd4, 0x12b408f9, 0x9be1e550, 0x25607fcf,
+    0x4596040a, 0xba88d6b6, 0x6d6e0d67, 0x6c99d965, 0x7542130c, 0xfa87411e, 0x7bd86a75, 0x2cca90f7,
+    0xd64f406d, 0xfed71765, 0x268aded3, 0x36f25435, 0x3316460f, 0xa3044cad, 0xbc49107b, 0x3bbd7519,
+    0x106fb868, 0x09a13b65, 0x5e667b54, 0xdf444c51, 0xa536938e, 0x75d9a7de, 0xf85d1bf4, 0x781d0c4d,
+    0x6042a03d, 0xb14efae2, 0x119472e3, 0x0dbb5f64, 0xd4757b04, 0x7a123129, 0x567032ac, 0x357f8bc1,
+    0x8397ba6e, 0x2e6fa0ad, 0x04c99576, 0x08ada92e, 0x5630cc71, 0x693ffbc9, 0xa0597d30, 0x377e49c6,
+    0x8a554fac, 0x97869470, 0x74ce67ce, 0x93c52381, 0x4ccb32ff, 0xb0c2be92, 0x1eb6a6fd, 0xb77e849a,
+    0xc751ad79, 0xe3d9aa12, 0x42a914a9, 0x61169d6e, 0x8f40b036, 0xd491c2e3, 0xbe172826, 0xb9b1d1d7,
+    0x661e6d6a, 0x8778ff6c, 0xb511c663, 0x52fe5ccc, 0x40f0aab3, 0xf59e5c29, 0x8df87517, 0x58a124cc,
+    0x220bdd9d, 0xe431dd3b, 0x5edf962c, 0xb596e8f6, 0x96378123, 0xb542ffd9, 0xa6e446b2, 0x5f52b564,
+    0xfcd7c5db, 0x9b9ce4eb, 0xe5d981f4, 0xcbcb6e2e, 0x62b962d2, 0x8f3a9b69, 0x68dae24a, 0xde71315d,
+    0x2c515bb5, 0x59038c40, 0xae313fee, 0x130adbde, 0x9eba811a, 0xe5b9ad7b, 0x1d6c202c, 0x1b0f29aa,
+    0x913e07e0, 0x1bb729d6, 0xd2082fdc, 0xae956a84, 0x1f7b3d7a, 0x235a32ab, 0xeda69c8a, 0x5553c553,
+    0x152006f0, 0x178f0470, 0x3f8fa9c2, 0x0ecf3733, 0x98349f95, 0x5e56f696, 0x685c4425, 0x423b7e77,
+    0x97e1fda9, 0x97fb4c03, 0x7a5938f7, 0xfcb431b9, 0xe9a2893a, 0xdf5061bd, 0xf22b0900, 0x513abb27,
+    0x39365783, 0x129a57c7, 0x02e3e508, 0x43f7b505, 0xe83fadca, 0xb63a32ac, 0x09f373ca, 0x47f7c548,
+    0x6950ed13, 0x1ba748bc, 0x56835211, 0x7a1fca33, 0xf66513a4, 0xb1140ea8, 0xc33a3b7a, 0x7b2e2c3d,
+    0xa44ed0d8, 0x0e17d5f3, 0x3e47496e, 0x11696d1a, 0xf09c0274, 0xe62afcbc, 0x06b27017, 0x2cd1ef4d,
+    0xe8fa6a6b, 0xfe679d50, 0x46846b84, 0xef786389, 0xc5f4773c, 0x2827f998, 0x27c2dade, 0x756af830,
+    0xd9c8b064, 0x7cdbdaf7, 0x329fd7de, 0xe106e0b8, 0x39e15f33, 0x4ee36e9e, 0x7fea508c, 0xea47b2a2,
+    0x17aa8940, 0xe23381b3, 0xa5cef8cc, 0x97fa8f0b, 0x333c0b64, 0x3322103c, 0x64fae267, 0x32a9b256,
+    0x6284e16b, 0x4c9ebb18, 0x6e7000ea, 0x063145b7, 0xa631ad2e, 0xaf764797, 0x6f2c76c0, 0x281cedce,
+    0x376daf54, 0xf3aaa436, 0x14e02c67, 0x831a3494, 0x7b52a5e8, 0xa9aab73f, 0x54de83ce, 0x642937b9,
+    0xf803147d, 0x1687e3be, 0x8fe6b52f, 0x252fd40f, 0x51ba20d6, 0x6661fed5, 0x7e04036e, 0xfac75602,
+    0xd13e653f, 0xdfed7239, 0xb79cf691, 0xd96a71f8, 0x105f24ac, 0x4bd72aff, 0x863dc37a, 0x0b97b037,
+    0x1616228f, 0xc1080d6b, 0x4941a081, 0x554591e0, 0xc01315db, 0x9fef809d, 0x2f5309f7, 0x2a3ee7db,
+    0x9653d670, 0xa40b3925, 0x31e17307, 0x67457198, 0x36374de2, 0xd2fdae26, 0x7b64b2b7, 0x0213ccb9,
+    0x79b0aa60, 0x6ba5a268, 0xef4bf539, 0x69ec0b6c, 0xbb3bfac6, 0xec082681, 0x1cce18e9, 0xc15b6706,
+    0xd2b3f75b, 0xc1276bc8, 0x0546467f, 0xf6937b23, 0xae2890d8, 0x4906d1d0, 0x5c306518, 0x2b1cf49e,
+    0x65221f78, 0xa1a19c8f, 0x2d571e7e, 0xb71f30c5, 0x989e6108, 0x1ca68fa4, 0xbcd7b2e0, 0xe2a85eaf,
+    0x8be1deec, 0xffd7bd75, 0x358f7138, 0x3ca8258a, 0x1748e878, 0xbbeb0be3, 0xa4a20cf8, 0xf49dfe8e,
+    0x93ae969a, 0xf08ff48e, 0xe84db0e1, 0xe3f63681, 0x3762339e, 0xc437a1c7, 0xdd441a4f, 0x19297dd4,
+    0x3d853655, 0xf4881e19, 0x1fd3458e, 0xf9ba5308, 0xed7ab1da, 0x7426ff01, 0x20558656, 0x0b6cfb82,
+    0x39873b94, 0x57496cff, 0x60d38282, 0x1335f2a2, 0xd9e0ed29, 0x1abb96e1, 0x7dddacab, 0x5d9985b9,
+    0xa714eaa6, 0x960ec607, 0xec2acde0, 0x9d7b03c3, 0x4500a9d2, 0xc11c35bf, 0x8ffbcc24, 0x2593f05a,
+    0xdfca65ff, 0x630fab2f, 0xac058d27, 0x8194db2b, 0xb572553f, 0x8b9cc41f, 0x98458bc1, 0x277e486a,
+    0xf9d60f3a, 0xd6a9919a, 0x2dea8582, 0x7c0cc8c9, 0x2fb95e48, 0xcd6c33ac, 0xcf0ad318, 0xb5b7b6fb,
+    0x11da752a, 0x8852b77e, 0x7457859c, 0x2b57f246, 0x6d8b4a5d, 0x8aa8ba57, 0xa6ee6d9e, 0xa3e2e841,
+    0xea45d3f0, 0x1436d73a, 0xc4d47a38, 0xf9ef2adc, 0xd5ba2791, 0x470528b5, 0x4c6c42c0, 0xfac5dbaa,
+    0x385b838b, 0x23182470, 0xe0915600, 0x54c0fd5e, 0xbe50f218, 0x2764f6eb, 0x10f4cce5, 0x84e6a286,
+    0x85d5abf6, 0x79139769, 0x190d6b4c, 0xa5a46908, 0xc52790ee, 0x3ecb8abc, 0x454167b3, 0x0b9da216,
+    0x15d03acb, 0xb86238a5, 0xd1c8ad4f, 0x68ac0315, 0xc8f4ded6, 0xeba741f1, 0x28b312b8, 0xe36d0a79,
+    0x74e4d3ee, 0x3050df9e, 0x87743f14, 0x33aa4b21, 0x1bcc70c7, 0xb4cc2191, 0x552ccc16, 0xdc9a9661,
+    0x248258a0, 0x2ee70849, 0xe1f1bd34, 0x76d7a34f, 0x10dcc3c2, 0x40d1f330, 0xbc8fbaf2, 0x19fa8dee,
+    0xed7f9665, 0xaa502afd, 0x4ffe2e54, 0x0baf7c96, 0x08bcc027, 0x8d7a5ecf, 0xbbcd2484, 0x3fe9f1e5,
+    0x5c8c773a, 0x655e9c0c, 0x9dd0a1fb, 0x6cec246f, 0x0729da09, 0x885459f1, 0x1d884528, 0x994d5d44,
+    0x00000000,
+    0x1549c52e, 0x0c5c1db4, 0x021622ae, 0xa62f99af, 0x37f7d187, 0x2b16e495, 0xa01c84c5, 0x4b32693a,
+    0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000024049076047604052253588281311122811\
+                          16032698930082119547604265954848982041717359046106827774346003151904701415424 */
+  { 0x00000000,
+    0x2850bb4e, 0x66250cff, 0x01d09587, 0x718fbc69, 0xa174a7df, 0xcd58e6de, 0xe8489d21, 0x2afd884b,
+    0x49126f73, 0x102b8fd4, 0x7730291b, 0x035f0219, 0x131b3d94, 0xc0545cdb, 0xb24b9e20, 0x60b06fa8,
+    0x4d6f6c90, 0x41c2789a, 0x9a6e5e20, 0x54deba95, 0xe67be2ea, 0x1c551985, 0xa7707f17, 0x8f537332,
+    0x96d13488, 0x43bdacd0, 0x1d2b5ad6, 0x4b224dd5, 0x833d79aa, 0x51b221c3, 0xbe483391, 0xb89a1584,
+    0xb839ae23, 0xdecd78db, 0xdaab41cc, 0x56cad4c4, 0x27ad79e1, 0x5c6bdc01, 0xbbce3c7a, 0x34b761f0,
+    0x8104d7b2, 0x2a6ac243, 0xdf5013ed, 0x6b0ca349, 0xe81584a1, 0x9bf337c5, 0x8c519137, 0x8c223239,
+    0x840319aa, 0x8550dc73, 0xf6fff380, 0xf55b224a, 0x4272ab30, 0x9ab9511b, 0x64accb99, 0x23158063,
+    0x38ba18d0, 0xef705e05, 0x35e66b19, 0xeb2cfcd2, 0x440df82e, 0xb5401c09, 0x632fbd5b, 0x08e03c50,
+    0xc6bcfacb, 0x3be0ddc7, 0x69b84783, 0x511fa92c, 0x05c9e073, 0x85a2584c, 0x422a07f0, 0xc91a86b7,
+    0x45d61cf1, 0x13725d27, 0x6869029f, 0x2dadb7e8, 0xf40d351b, 0x5227a383, 0xaab50eb7, 0xa2e6e2a6,
+    0xa1afa11d, 0xb11ce842, 0x7d9843f9, 0x4c736628, 0xf54f9be7, 0xaa23dcfe, 0xaf598172, 0x04810e0e,
+    0x793410ca, 0x69c0b1c8, 0x850aadd5, 0xb7f880f9, 0x4d283834, 0xbfa928fe, 0x53f5603e, 0x30ed9529,
+    0xffdf5538, 0x3a054d43, 0x5cc4d632, 0xdb482682, 0x8a9b4e3e, 0xa16d4c00, 0xd7615ae3, 0x9e0ba70e,
+    0x820602e6, 0xb9235012, 0xe6c7cada, 0xf0836e0a, 0x828897b0, 0xceed61a3, 0x7f2ea9e4, 0xa10babf5,
+    0xc9d8acb0, 0x21486e40, 0x8d2912b8, 0x6a7a3312, 0x011fbcef, 0x17f73886, 0x8cb5fe2a, 0xfe508747,
+    0x64734b40, 0xbd40a0f0, 0x0a2a54c8, 0xdfbe779a, 0x731e119b, 0x93115c57, 0xdfa96b97, 0x92b0e68b,
+    0xe2a6a46d, 0xf5a3abeb, 0x897f1eca, 0xe699ee8b, 0x1ebce48c, 0x325198f7, 0x35aa5257, 0x95f976e5,
+    0x3150e0ca, 0x2818f8ff, 0xcdc0e4cb, 0x510d92f0, 0x4dd26d47, 0x305df68c, 0x191e21e1, 0x70f0e8e3,
+    0x94d100ce, 0xaa79fe95, 0xcb23d40d, 0x4e964b62, 0xd90189e4, 0xbc0d5ac3, 0x18613161, 0x51729231,
+    0xac780de5, 0xc05ed440, 0xfc2422b8, 0x95f4bbdf, 0x15065615, 0xa210d86f, 0x5015f786, 0x418ea1f9,
+    0x853dad12, 0x41d0cff0, 0xc56c08d8, 0x545c1eed, 0x408f4724, 0x1be8e297, 0x560e2c49, 0x510fe1a7,
+    0x7f7c7d99, 0xf50c228d, 0x90c1a6ac, 0xe937d020, 0x3c428539, 0x2d90d35b, 0x22826458, 0xd2d78d61,
+    0x906af929, 0x04bab109, 0x0e501f07, 0x78156bed, 0xd73bbf2a, 0xbf05a4a3, 0x372523fe, 0x22049cca,
+    0xe19238c8, 0x4721d4a0, 0x4a074e04, 0x510d5de8, 0xdd9a1621, 0x7bd34a30, 0x1cfe147e, 0xe5ea76a4,
+    0x95c9f7f1, 0xb5d6b8c7, 0xe97a1b06, 0x342e72c1, 0x8c06630c, 0x5b7b875f, 0xf9a168e9, 0xb46d03b7,
+    0x1b09e1dd, 0xad62cbea, 0x9cb06124, 0x50bcdf35, 0x8ddad2b5, 0x54bb7215, 0xd46c4b05, 0x20ac34ae,
+    0xd5a0a5e7, 0x0737dad6, 0x209fa3d3, 0x6a884ace, 0xc36f038f, 0xed6a434d, 0xa925f592, 0x81b5800e,
+    0x1c661d3e, 0xec149e1c, 0xf5b07884, 0x163699a3, 0x4c11c0c7, 0x1c11b305, 0xc980a9ca, 0x7ea5e0c1,
+    0x5d9deb13, 0x8e7d4df9, 0x5eb14b32, 0xca218fdd, 0xe89a7510, 0x341b24c6, 0x9d69746f, 0x75e69092,
+    0xf32b7aee, 0x58db2a3d, 0x8f60ddb1, 0x0a99837f, 0xaed354c9, 0xe690100c, 0xd54dce78, 0x9d15b99f,
+    0xeceef8f3, 0xbb3497c0, 0x987cb585, 0xaaaa9bca, 0x480867f4, 0x6a4aa40e, 0x706cd5c9, 0xcfc847b3,
+    0x836a4e1a, 0xc8516c98, 0xdbb472e8, 0xcce3f38a, 0x561080b6, 0x1ce55640, 0x99392ee1, 0xbd18673f,
+    0xf3f62b7d, 0x8198c58e, 0xe5561190, 0xa7ef0895, 0xd7af6af0, 0x73a3c821, 0xa8e81a19, 0xa302e550,
+    0x96c3f1ea, 0xef46a5be, 0x700c7260, 0x1a68be7b, 0xc7c6186b, 0x55aad53f, 0xb7ad77e3, 0x5efea90b,
+    0xd67fcab1, 0xfd46a36a, 0xbc33df69, 0x7b315f6b, 0x6e462eba, 0xcc394005, 0xdb26f606, 0x8972f1d3,
+    0x6e446887, 0xb356ef51, 0xd58b6d31, 0xc1344f6f, 0xd4ccfb36, 0x520698c6, 0x9fb6afac, 0x392911d5,
+    0x8c6a4cb7, 0x006c45d5, 0x91f99855, 0x9ffeb2bd, 0x5427a4a6, 0x83e00d03, 0x5a70e5ef, 0xb579efb3,
+    0xfd233d7c, 0xda6e170b, 0x3c9596f2, 0x36a83ada, 0x134b2361, 0x8b2a2e9c, 0x177582fb, 0xe69a4cc9,
+    0xe10b6f83, 0x09270ad2, 0xace65cfa, 0x3d73b09c, 0x69db9544, 0x99eda2ec, 0x63947d71, 0xed4e614d,
+    0x903d9992, 0x2f684f94, 0xe64012b6, 0x9f78883c, 0x212163af, 0xecf3ecad, 0x4306444e, 0x37cc452c,
+    0xacf80d6d, 0xed41a26a, 0x7da9dc3e, 0x0f40f982, 0x35b7bc65, 0x33f8ee23, 0x8ffacb45, 0x3c57c80a,
+    0x95310a06, 0x1a1ac011, 0x94729401, 0x6f6ed502, 0x7547090c, 0x11dab0be, 0xb5ac1b3b, 0x43b7881d,
+    0xbbc2028b, 0xfc1c06e7, 0x2ee9757e, 0xfc7ddc7e, 0xc2aa2b07, 0x5ac4d540, 0x7c35ddcf, 0xef08f743,
+    0x588ae504, 0x8c75aa20, 0x6874820e, 0xe0f9f0ea, 0xacae8193, 0x8b764f2d, 0xd1f462ea, 0x5bf2156f,
+    0xd12f5194, 0x123337fa, 0x3aa30690, 0xb8f0592c, 0xd1dd0107, 0x5eeaada6, 0x44050cef, 0x840c2de8,
+    0xae976925, 0x5629a698, 0x126a898c, 0xfd81c2fb, 0x21e04c99, 0x11740d81, 0x51b7cfe9, 0x333c1d24,
+    0xbd781783, 0xdc6e03d8, 0xf5bb18b1, 0x9ac3f2bd, 0x2c735305, 0x5be71266, 0x059c49ac, 0xe9a2d37a,
+    0x65b6d602, 0xb753b1d1, 0x7b9a729a, 0x70157654, 0xc9619662, 0xb85c9d37, 0x1ac55b2e, 0xf83caf42,
+    0x420565ed, 0xf4ad2e65, 0xb14efcf6, 0x488c2b9a, 0xc734dbf6, 0x1c130e66, 0x38334977, 0x2133a293,
+    0xe1d4615a, 0x97f41e7a, 0x9af7b92b, 0x2571376c, 0x951a16ab, 0xc9963eb1, 0x3d91e481, 0x32d863b9,
+    0xbe64a936, 0xed7cd37f, 0x5b9f78aa, 0xc3d0635b, 0xe1e5a2a9, 0xbce4b68a, 0xf7fc27e6, 0xcb08b90e,
+    0xc57033c5, 0xa7b53921, 0xeb9842e3, 0x76bc0771, 0xf9c5ba2f, 0x6e3d9999, 0x72a648a1, 0x13d03e6c,
+    0xe7b70e1b, 0x1d9645ca, 0x937f1f33, 0xdb2174cb, 0x37e21698, 0xbb846e4b, 0xa109a3bb, 0xb984c75c,
+    0xa5287112, 0xc35137c7, 0x2a4e01b8, 0x90597f9d, 0x5993c57b, 0x7c107c40, 0xb08bfba1, 0xb55ee60e,
+    0x364a3fbb, 0x3259aa10, 0x8ef1d6ec, 0x900b086b, 0xe1dce4e7, 0x1a6d736e, 0x736e5a9e, 0x59b29fd2,
+    0xea7d8b03, 0x7387c71f, 0x9787bbac, 0x7a22dca0, 0xa2d57e80, 0x52a7c562, 0x7a51bde8, 0xf9d0fe66,
+    0x12f2579e, 0x19e97226, 0xd4494788, 0x4d11a6ad, 0x2ade605c, 0x2196aab9, 0xa9df44b5, 0xbcb691cd,
+    0xaf99ad1b, 0x28aba5ab, 0x8e8a6e47, 0xd43d1831, 0x3a86e71e, 0x8d47c086, 0x9738b261, 0x1cd5f0d2,
+    0xfe367707, 0x98b77971, 0xee3c4185, 0x2300458f, 0xddff2fd8, 0x500862d3, 0xbe6b8eee, 0xcffad380,
+    0x8b740d3e, 0xf8432a64, 0x06b1a969, 0xc58ce34f, 0x099ba694, 0x8edf86c1, 0xc752cf56, 0x3ae0bc70,
+    0xb0df4856, 0x8578e579, 0xe4d8e4fe, 0x4aaee52c, 0x576ed46e, 0xe4b5d6ca, 0x048e2e58, 0x7aa2ea3f,
+    0x3067f012, 0xcfe081cd, 0x352bc270, 0x1cbebdac, 0x44da760c, 0xae922390, 0x37d66b34, 0xa5011929,
+    0x6a4ed272, 0xf9329044, 0x217c2f73, 0x8c53a855, 0x84f1da77, 0xcff79df0, 0x7699a270, 0xd8a0f382,
+    0x25c73b01, 0xd68f6903, 0x1ed6031b, 0x76ea1957, 0x892c871c, 0x7f1bd54e, 0xdb39013c, 0x7c961f0e,
+    0x78984029, 0x2a29f0ab, 0x3da6047b, 0x728483ca, 0x0152958a, 0xf624b238, 0xd1b8d741, 0xedecec26,
+    0x37434d8f, 0x2821c86a, 0x9372236f, 0xa5ba12e9, 0x37b098a4, 0xfaedda00, 0x2fafcf3c, 0x45c6e047,
+    0xa0063ffc, 0x980b1a48, 0xa15ca1ac, 0x2975e617, 0x211c2ba3, 0x1aa1eb86, 0xb1127cf6, 0x2577aeec,
+    0xba5dc30c, 0xbbd9a501, 0x3e9579ce, 0x8bc738b8, 0x816e11cd, 0x9f0cb349, 0x4ed10889, 0x388b5a4c,
+    0x6e59afc1, 0x3b4eb4aa, 0x7cb87780, 0xe6fd5294, 0x49f8afb8, 0xe16dab66, 0xa0181493, 0xbd18f3d0,
+    0x3dc843c5, 0x25a687dd, 0x92ea80c7, 0x6dc96829, 0x5a7c5929, 0xa5d08311, 0x23efd3bf, 0xfa88f590,
+    0xd75cac75, 0x988cf4e8, 0x474ede21, 0x79016722, 0x38a9d2cf, 0x83c72aa1, 0x6a844545, 0x7f271784,
+    0xb29aa449, 0x9825a5e0, 0xa67c1690, 0x87d4a68d, 0x8f24d747, 0x45ac2b8c, 0xccb65c93, 0xf1523a0c,
+    0xe7198a79, 0x84dc9e29, 0x77b03ceb, 0x33076de8, 0x10fa62c8, 0xd5a1ab99, 0x64fe697d, 0x8589c6b7,
+    0xab25dc95, 0xcbc893db, 0xfb89f74b, 0x622ec1c1, 0x67a11cc0, 0x44fe50ee, 0x52b390ce, 0x6d18080f,
+    0x9c742d23, 0xe562c99e, 0xc5a2f89b, 0x76678af6, 0x607cca25, 0x90cf8e85, 0x688fcb1d, 0x5be1b9b7,
+    0x69612818, 0x08788215, 0xfae73293, 0x4d18e919, 0x08e45432, 0x6feeb0c5, 0x24c61a33, 0x577fd91f,
+    0x39416495, 0x1fcc1bc2, 0x8797df78, 0xc7a8a406, 0x95b5a316, 0xbb402cce, 0x47ad6f32, 0x210f3cd3,
+    0xf7f82e92, 0x3708c3f3, 0x6d9f337e, 0x13ba879d, 0x14ec7dbe, 0x28e29743, 0x7b0f4a39, 0x6b7d84b2,
+    0x85627cdc, 0x09e8eea5, 0xea3511eb, 0xfd0feb16, 0xc42f8f67, 0x200fdcf9, 0x99883afc, 0x6853da11,
+    0x2942a0c5, 0x2be43270, 0xe2b0a5bb, 0xc06d7687, 0x1507010c, 0x86c1fe5f, 0x8a4d2e5a, 0x0be5ea55,
+    0xd6be5abf, 0x254833e2, 0x4bd3535a, 0x92442ffa, 0x1aaa32ca, 0x3b479d01, 0xefb8bc65, 0x6849144c,
+    0x798a68e5, 0x68ff2184, 0x1872704d, 0x52f56452, 0x19a6cf2d, 0xbf3a2e38, 0xc8f3f7e5, 0xeab59e0f,
+    0x55528ac8, 0xbae14e52, 0xd74f1fc8, 0xd25dc980, 0xb999fbf4, 0x01ff62de, 0x96a430d7, 0x2fccb6c4,
+    0x68b7889c, 0xfc3faf18, 0x081619cd, 0x2f63644e, 0x2f3c78b7, 0x3c0fb817, 0x7019b47b, 0x5e7bb6f7,
+    0x75e65119, 0xbb53ba01, 0x02073433, 0x569e7164, 0x6278bfd9, 0x08b95f9c, 0x1daed29a, 0x4b60d3d7,
+    0x11539183, 0xae71c30d, 0x9ae376d6, 0x766d3d2d, 0x18201b02, 0x5968efe0, 0xb2c3cd76, 0x6fb89d45,
+    0x57509c36, 0x80c3791e, 0xe54b4eba, 0xa791ed9d, 0x661c15d4, 0x96ac179c, 0x068bea0f, 0xb57c5ce0,
+    0xfe077177, 0x4c550731, 0x024716a3, 0xaa89dc00, 0x9b1ca19a, 0xcd89df78, 0xdf27d4c2, 0x07e800f0,
+    0x3d153ba5, 0x211b3a99, 0x807fc897, 0x74b5ab49, 0x9b630478, 0x5ebd3328, 0xbfe326cc, 0x22e53381,
+    0x0c8be045, 0x210aa24e, 0xbeab2e7a, 0xe18e1176, 0xbc8a6279, 0xf5fd8f7a, 0x7154b9e2, 0x15297cbe,
+    0xea2b6e2f, 0xd3ec0676, 0xa273fc90, 0x5eb065ee, 0x3b5cac81, 0x1872c1eb, 0x5c9b84c4, 0xb22bc692,
+    0xf1841a7a, 0x33bcef05, 0xc2e61548, 0x69b697df, 0x55e97e8e, 0x07adca09, 0xe6d70647, 0xf28ab5bb,
+    0x19afddc5, 0x5713575e, 0x57be90ba, 0x74f08574, 0x084040ad, 0x9514da62, 0xcf8871e2, 0x6692cbc9,
+    0x62dbea7b, 0x1bfa5055, 0x901ad8e6, 0xeffe84c5, 0x7b80b73c, 0x729a88a2, 0xcdb01027, 0xcf7fd165,
+    0xe150ddad, 0x87113f1f, 0xdbf892d3, 0x4374c15d, 0x66b06893, 0xddc38dda, 0x3bc77f3e, 0x937f8c50,
+    0x0467d7e8, 0xceefe779, 0x65fdc5a7, 0xfc31a710, 0x8b071179, 0x1faf6b29, 0x963f2f28, 0x1e8d6433,
+    0xdf5c0447, 0x0ce1de28, 0x5440d2c8, 0xa5a0f9ce, 0x1584af39, 0xe5532eaf, 0x02fedb68, 0x0d533201,
+    0x9b41b860, 0xe14707cc, 0x4c9c02ca, 0x2e101c00, 0xb299d034, 0x46fa0938, 0xdcc3a785, 0xcd0badaa,
+    0x5163b26d, 0x146b444e, 0x6868616d, 0x051f85e2, 0xb77e53ef, 0xa8a51a29, 0xd00adc94, 0x297ba7ad,
+    0xff514af7, 0x59144cf1, 0xb0a4d491, 0x7854f466, 0x8fd93197, 0xe097ede7, 0x5a011ac4, 0x28210d30,
+    0x087cd651, 0xfa4c9604, 0xedecd369, 0xca7db740, 0x56d65773, 0x376a0c73, 0x69a3cc91, 0x9a867dcd,
+    0xb0cc74e9, 0x33c1e516, 0x7ab0f7d8, 0xac4c1c65, 0x87398986, 0x908b557e, 0xc283f724, 0x5b7ec89a,
+    0xe916fef4, 0x4ab9781a, 0x8405d395, 0xcbcc7ff3, 0xbbd5c63b, 0xab20842d, 0x23067f2c, 0xcd1f140d,
+    0x9b39c751, 0x7f1a4b76, 0xf0bbde11, 0xc2c09216, 0xef2f290d, 0x12ca7d7b, 0x4113be25, 0x6ea98dc2,
+    0x5c5f61f9, 0x05705e18, 0xd9975eb5, 0x1db54ef2, 0xd7256e2b, 0x4de40684, 0xdf50672e, 0xfebb2e11,
+    0xd76df083, 0x838b5ead, 0x2492b0d5, 0x0e2f5c8b, 0xfc852c89, 0xb3eac62c, 0x4f15ade3, 0x905d8978,
+    0xc72d18fe, 0xb759db6f, 0x07aaba4c, 0xdebb7106, 0x2ab1faab, 0x4d39cc8f, 0xed612971, 0x562f5a5a,
+    0x9a38007e, 0x84dd0827, 0x69e1b72a, 0xa5764540, 0x852f7267, 0xbc3968df, 0x66246060, 0xeadce98a,
+    0x7fa73f41, 0xcb9c158c, 0x89270ccc, 0x50839253, 0xa098d18b, 0xff68f595, 0x4e5e05fa, 0xb6805e38,
+    0xc94567af, 0x649414fd, 0xbe7da711, 0xcc742ffe, 0x2c46ffe2, 0x8eb67a7d, 0x5319e5cb, 0x0167fe0e,
+    0x72fa741f, 0xd702447e, 0x562c99ca, 0x143fd8a7, 0x6c642662, 0x416b27ba, 0x8643282b, 0x2106ffd5,
+    0xac3ba349, 0x0ead3ef5, 0x0883fcaf, 0x07cb61f5, 0x72e2a684, 0x0839c1bd, 0xb7db3ee4, 0xa53b02d9,
+    0xbd5aa8e3, 0x19e064fb, 0x8efeff4e, 0xe00e652d, 0x3f392800, 0x122a1217, 0xe016bebc, 0x8554f462,
+    0x6fb198f7, 0x335976f6, 0xa590335d, 0x72abc7c1, 0x6454a03b, 0x7c4507f4, 0x75f36819, 0x3020bd2e,
+    0xf703459a, 0xcdd5f486, 0x82b86f19, 0x431dd6db, 0x1d1e225a, 0x19aa3c61, 0xc002fae8, 0x4a1ca385,
+    0xf786a04e, 0x2bc5c084, 0xa8ef5d71, 0xfb988b65, 0xb8a9cc89, 0xfd21ea5e, 0xaf333b42, 0x1d642a0d,
+    0x8106c010, 0xaa7af555, 0xb8a6f656, 0xf0d20fd8, 0xa3f860e3, 0x9d3cf9de, 0x2704280e, 0x24acc39d,
+    0x8281d2bc, 0x6d283c8f, 0xb76fea14, 0xca1f44c3, 0x4e883018, 0x05a7cd0d, 0x9df440d2, 0x7a7f494a,
+    0x0d58a8bd, 0xabb2aecc, 0xbe7b0666, 0x6ab4c8a4, 0xba655ed1, 0x1bb324de, 0xbbbaff39, 0xb1561f9d,
+    0x382f2462, 0xda26202b, 0xcbdb07a1, 0xcf7feb02, 0x3266f4dc, 0x4aef8286, 0xb93fc021, 0x98ecc2c3,
+    0x909f7c82, 0x0e2a0aa4, 0x135177ec, 0x8906cddb, 0x8a8b8009, 0x388259e7, 0x960b257b, 0x748d312a,
+    0xea41ddb2, 0x4ae8dd67, 0xc58b580b, 0x8a5196c3, 0x7a5a31f3, 0x6a9b3e95, 0x40cbe843, 0x8cc39b98,
+    0x7be37444, 0x258777e7, 0x5d1e2bb1, 0xbdc78b6b, 0xd4f4bfd0, 0x00443195, 0x74a30970, 0xc14d9a49,
+    0x99ed2542, 0x64d4caa6, 0xb8007548, 0x7a0eab3a, 0x53842130, 0xea57dde8, 0xd917e871, 0xc264fcff,
+    0x70fc5d81, 0x54ff040a, 0x8908915c, 0x4da44d03, 0x8b4e6de3, 0xb3ef4df3, 0x02b7a961, 0xe23be140,
+    0xc0f53a9f, 0x37287b49, 0x3497bcbf, 0xf291b096, 0xf258b201, 0x61a8952a, 0x09cc8edb, 0xc61abbc8,
+    0x00000000,
+    0x0aa4e296, 0x062e0eda, 0x810b1157, 0xd317ccd7, 0x9bfbe8c3, 0x958b724a, 0x500e4262, 0x2599349d,
+    0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000012024538023802026126794140655561405\
+                          58016349465041059773802132977424491020858679523053413887173001575952350707712 */
+  { 0x00000000,
+    0xed2dcb0b, 0x5b88b76d, 0x1f301764, 0x0c0c8011, 0x1496dd01, 0x98bda254, 0xc931de59, 0x0ef71f98,
+    0xd7592adf, 0x2f58d54a, 0xe255d112, 0x6106c6fd, 0xebee6ed9, 0xc5ce87d6, 0x47cf8090, 0x99b17b2e,
+    0x5fc8f74f, 0x99d289b1, 0x40dcdb6b, 0x627ed4b7, 0x885c9005, 0x527f0173, 0x99601de6, 0x2f8adb34,
+    0xa7e8d092, 0x42ced581, 0x34ce7561, 0xb0495515, 0x4154d305, 0x89943191, 0xa28e4b24, 0x6b221983,
+    0xd136b2b4, 0x6a12945d, 0xd081674c, 0x1cc2e687, 0x848c8e69, 0x12de4444, 0xb91df91e, 0x07a177ce,
+    0xa3c98b9d, 0x72e6d9ec, 0x3148927b, 0x7cdc0a6c, 0x4fe9d89f, 0x9d498a58, 0x99ea06d2, 0x70751f4b,
+    0x6cfb7737, 0x8ca3986e, 0xb7ef1751, 0xe9530ee8, 0x2df57df0, 0xfc24b767, 0x249f0747, 0xd550caa6,
+    0xed015269, 0x4c49f9f8, 0xda15b410, 0xa8315e83, 0xf08fab67, 0x2fbbcdf4, 0x1c9f7774, 0x6e5ad30a,
+    0xa38e6ce8, 0x8f1514fb, 0xc5b9c293, 0x6ad8e0ba, 0xa0fdfa6a, 0xcf44bd81, 0x98298341, 0x75a52910,
+    0xc65003a8, 0x83b38725, 0xcac9275c, 0x4d708c2f, 0xb5317997, 0x345d0a4d, 0x78ba6f1b, 0x0ea5a0b7,
+    0xe227a836, 0x42f70df3, 0xa7fc83e0, 0x03da8f8d, 0x19c3eb22, 0x17aa27ea, 0x0b79f26f, 0x43ebb9b5,
+    0x339941c0, 0x2dd8a4fd, 0x75bb5386, 0x789a6838, 0xabf5b158, 0x9b21c58f, 0xbc5beec1, 0x45696184,
+    0x96401a8b, 0x4fa55838, 0xa124cc0d, 0xbc4879df, 0x7029170a, 0xddf1bc78, 0x36c7d8b4, 0x929a4a16,
+    0x987042a9, 0xd77b3955, 0xe26fbb56, 0x0c22b952, 0x10ca37be, 0x07b35f6a, 0x1bdc214e, 0x71ac504a,
+    0xd5d8badd, 0x936f332a, 0xf5d88121, 0xe02e651c, 0x91e97c09, 0x9caf0cea, 0x463e8bf8, 0x9d04ecc2,
+    0xa214c546, 0x56fc3449, 0x866ec727, 0x285480b9, 0x76467a16, 0x19ed95e6, 0xe6d54aad, 0xec8c9d56,
+    0x39e83204, 0x982376a3, 0x1c5e970f, 0x05f9cda6, 0x6dcf787b, 0x53ce73b2, 0x9c12d41f, 0x03dc649f,
+    0xe7bf66a4, 0xd33c007e, 0x74c5a5bd, 0x86e648af, 0x52d9d1b0, 0x7b227cb0, 0xd3902fe8, 0x2ed26c33,
+    0xbd307eab, 0xb4d434d3, 0xf75227e6, 0x1a7a6604, 0x32dc6c14, 0x19b87620, 0xdbf0d731, 0x5137647a,
+    0xcdd753da, 0xcf45dbcb, 0xd8ab1b52, 0x1da12f9b, 0xf3d9d7c0, 0x71f93fdc, 0x843e82c6, 0xee418fe2,
+    0xb6ad7ad5, 0xd7bc0497, 0xa9b06ac8, 0xc83a2ec7, 0x74fd8ab3, 0x99ad8630, 0x6fc9573d, 0xf635a94a,
+    0x051b376f, 0x59d1b8d3, 0x87599593, 0xfa863030, 0x2e8154fa, 0x297499b1, 0x601f27b0, 0x762117aa,
+    0x0841ecd3, 0xfeb7f1d0, 0xfc956ef4, 0x98c3fd8e, 0x529862f0, 0xcf675f26, 0x5dd0b0c5, 0x99c5d073,
+    0x75acbf1f, 0xe8ca2311, 0x2edec61e, 0xa2a8860c, 0x6b08dd7b, 0x7401ea47, 0x9406ff6a, 0xe7216b7f,
+    0x6f89d1d1, 0x84336856, 0xd3096dde, 0x6caf37f9, 0x3a71d7ce, 0x4b555831, 0xb8f578b9, 0xfa3aeede,
+    0xcede0253, 0xc7528369, 0x430a1c2a, 0x95fae22f, 0x063e0a91, 0x4784419c, 0xc8df3053, 0x460873af,
+    0x2fd042f4, 0xc15b72ea, 0xfaeeab7d, 0x44920bbd, 0x90e42d0b, 0x72e6fd60, 0xec4fea17, 0xaf698b72,
+    0xef3fbe06, 0x314bf5c0, 0xb0dce5f5, 0x015b9efa, 0x1429554c, 0x6cc2d49a, 0x343cee08, 0xe9f40a31,
+    0x2c69785f, 0x8f994262, 0xf53ff24e, 0x9261175f, 0x9a8c5db7, 0xfd0cfa8a, 0x5b3fcbf0, 0x714b13a0,
+    0xdb1d6f51, 0x9ac37e63, 0xf8ecb3d2, 0x63b37256, 0xe818d5f2, 0xbdcd15a0, 0x6580cd23, 0x531f15f7,
+    0x3ed9e908, 0xfc4dcb46, 0xd897e419, 0x9e2ec530, 0x3b1813d6, 0xabd43bff, 0x756f72c7, 0xfd3f09b9,
+    0xf8d45adf, 0x299c4348, 0xe0bd759d, 0x94fb5fc6, 0x7ef894fd, 0xebe0be0e, 0x2ecb3af1, 0xc365dff2,
+    0xe368772d, 0xf7140b65, 0x13d555cd, 0x8cc2edce, 0xbfb0d898, 0x41f6b3bf, 0x2de43073, 0xc4110a5d,
+    0x9c963665, 0x5a77e13b, 0xcf1f737a, 0x7eec13ec, 0x31b785c3, 0xda83b859, 0x5c0070a9, 0xe1dcb59f,
+    0xfbc07e5a, 0xc744b5a8, 0x74208fba, 0x9385c374, 0x4de88baf, 0x13919115, 0xfa338412, 0x74a0eff6,
+    0xb9f1e843, 0xfe8df5bb, 0x3ffa599d, 0x7a38e086, 0x2444ec25, 0x8b37dc88, 0xa1f61c2e, 0x576bfc39,
+    0x2e8fbcea, 0xbd8a2c36, 0x27da2706, 0xda002186, 0x7f1c94c7, 0x5342e780, 0x75e9676c, 0x63e820d8,
+    0xed81b825, 0xca7d877e, 0x68ae1cf1, 0x486a39fe, 0xd6512ed6, 0x64b2206a, 0x4fef7d1e, 0x08f26c8e,
+    0xbd32fe08, 0x22d3fc9d, 0x260a6092, 0xc3a6f3e9, 0x8f79fb4e, 0xbb806783, 0xe005b3dd, 0xa25f2c91,
+    0x48f0698f, 0xfd6bad53, 0x951d8493, 0x5d04a37a, 0x282a1d64, 0x93a93a5c, 0x5f60d2aa, 0x4e28d109,
+    0x21563ef6, 0x7981c827, 0xd03aab70, 0x1b748415, 0x95f044f3, 0x96623907, 0x2cc23ee6, 0xc29c05fe,
+    0x4de38e8c, 0x0dc21fe8, 0x52db05fc, 0xba296987, 0x92ed035d, 0xf414dd70, 0x2f3fe855, 0x6172ee01,
+    0xebe4195e, 0x6d47a340, 0x5d4e15d6, 0x33dfa9ee, 0xa80b1f3e, 0xae36f06f, 0xfb781d5a, 0x1ab9d87d,
+    0xba9d595d, 0x5edc1cc7, 0xf6809964, 0x367e97a1, 0xee086e59, 0x37a881a2, 0x27e70cb4, 0x808a893f,
+    0xa5841489, 0x8653a3f1, 0xb8d2f5c8, 0x80d64866, 0xed925d80, 0xdd0ebcf4, 0x8ae9c737, 0xb5f5e0c4,
+    0x8198c704, 0xf71da028, 0x4fb846b9, 0xa3db0cb8, 0x22453d14, 0x5e87ce58, 0xdb7a3323, 0xe9c49c74,
+    0x2b6d493d, 0xf54d83b5, 0x9c885cf5, 0x82cf746d, 0xe52b6f2f, 0x33b64d23, 0x9328dc16, 0x6c3c2993,
+    0x73ffc5b2, 0xe16b834e, 0x6da2ef90, 0xeec0f215, 0x14b69cb7, 0xfc8ca746, 0xa912b833, 0x62fd40f7,
+    0xbe3c1b82, 0x33926622, 0xd7f1d714, 0x194a182a, 0x7b560266, 0x78293b51, 0xb1183575, 0xe7f13b34,
+    0x60a9cac9, 0xdf26ed6b, 0xd30d43b0, 0x5b3b61fd, 0xa3982d24, 0x673e0492, 0xbcc07db3, 0xcbba38df,
+    0x5cfee55d, 0xf0f97458, 0x59a30382, 0x084dca48, 0xee843b7b, 0xb76e44e8, 0xabc1bde4, 0xb713e9c3,
+    0xfe34e528, 0x4483767a, 0x445ee059, 0x036180fa, 0xe0230c69, 0x39866cb9, 0xc0f56ff1, 0xd8935d6b,
+    0x327f31c7, 0x3395d59e, 0x9762e613, 0xb3d02800, 0xee2b82b2, 0xe65c1163, 0x10d22095, 0xf36e1f72,
+    0xaf3d0fb7, 0x11e1ee65, 0xa0248e56, 0x37e7db49, 0xbc4e09e0, 0x0b4d8254, 0xbd5c3ec9, 0xa207a4b0,
+    0xb092589a, 0x79abaddd, 0x06dc43db, 0x0772e605, 0x2d5c02f8, 0x897b29ff, 0xed8dfa04, 0x18c9df5b,
+    0xcb6bec21, 0x8a0949f5, 0x4f0ddb3d, 0x5a42c9d0, 0x08008e82, 0xdfecacad, 0x70761fa1, 0xfe21ddcf,
+    0xd7abd01d, 0xd9964d29, 0x3fa9aa72, 0x4c694560, 0xc7552b8b, 0x2e0e7b9e, 0x1ed366dd, 0x8aa2ab65,
+    0xb71a6d78, 0x07abca0e, 0x489d3667, 0x59ebf1c8, 0xf61fa256, 0x1cc6d1a2, 0xa1a44f1f, 0x42435b34,
+    0x68d3abd9, 0x037cc23f, 0x82231ad4, 0xff257a42, 0xe07bd086, 0x0c4481d3, 0xdfbe1641, 0x30155187,
+    0xb8d85c0d, 0x53fc2820, 0xdb5ed7bd, 0x18a75c3f, 0xe3defbae, 0x1d07b0f0, 0xeb4a16a7, 0xd5667f0c,
+    0x3af1f7f0, 0xad6cc341, 0x03a45236, 0xca93a8fc, 0x139291c8, 0x5bc21d0e, 0x0d71865f, 0x72817ce7,
+    0x57026edf, 0xe5aee862, 0xb57d051f, 0xd1c48457, 0x0662f7a4, 0x173afe0c, 0xabeeeea0, 0x14c536ff,
+    0x57491b63, 0x081f75e5, 0x15003fcb, 0xb96557ea, 0x6c9455e6, 0xf633e41f, 0x6c035ac7, 0xcdc2b540,
+    0x9a5c3f5a, 0x6ca8f946, 0x6e3977e8, 0x646373dd, 0x9851fd27, 0x3e63a3c9, 0x72150c0a, 0xc8e2138d,
+    0x56e6f234, 0xc43e761a, 0x405581b0, 0xf6f4e57e, 0xeb4be239, 0xdfebfc78, 0x1acdd28b, 0xdb5bdae9,
+    0xa5642d53, 0x42a15ff5, 0xe225a498, 0xe25b4744, 0x33bee35a, 0x2a803854, 0x3dbd80ff, 0x63c03ba7,
+    0x7227a403, 0xea6fdc6d, 0x0424021c, 0xa50c4ac1, 0x563ce399, 0xb63c2460, 0x3d508cc5, 0x9ba75941,
+    0x82ff3ee6, 0x9417a8ec, 0xbc1b9224, 0x6fc0523f, 0x92c21a3c, 0xf03d686d, 0xe07b2b17, 0x011682a7,
+    0x3dfe7a71, 0x8a5a28bb, 0x67370391, 0xbf78ed8c, 0x0391f868, 0xc52b3c55, 0x1b61cdbe, 0x0dde1d4e,
+    0x23d340ea, 0x0a8c6df7, 0xeac8b025, 0x3cb24370, 0x4624e39f, 0x5d45266c, 0x7d623220, 0x0c988ac2,
+    0x73f28609, 0xa541dd5e, 0xceac2386, 0x4fdc3719, 0xe25af131, 0x834f93de, 0x1b5a63ae, 0x56102130,
+    0x6c7d64de, 0x88d05b68, 0x39f7ead6, 0x20f8f745, 0x3d72b0f2, 0x3bd5f230, 0xf55e43b2, 0x32c0523e,
+    0x3f8821f0, 0x3a196e71, 0xbedeb766, 0xe4ebc28e, 0xbd76eb36, 0x79c15af4, 0x70b594fe, 0x8eba5963,
+    0xcaca497e, 0xf23a8a83, 0xc03bc2c9, 0xcabbccc7, 0x19873428, 0x744aae3c, 0xb53992b2, 0xb2a78f1a,
+    0xc432ea6f, 0x9c473dc3, 0xeb29a88e, 0x73ee5754, 0x02f643f1, 0x91818b50, 0x0ffb8b5a, 0x9839628d,
+    0xcbeed23b, 0x2e870d63, 0xf9c019fb, 0xa1838631, 0xc0611408, 0x1f7f5149, 0x64e111e1, 0x4806547f,
+    0x8c0dd8db, 0x8520fc59, 0x1a27e635, 0xc3d9301f, 0xa4b39c10, 0x7e8d46bd, 0x5293c3b4, 0x587e6fb6,
+    0x74888e39, 0xdba381df, 0x664139c4, 0x5fbac11a, 0xd1f65b73, 0x9df6a0f1, 0x5fd5d635, 0x7b6ee27a,
+    0xee164cb0, 0x8c5aef76, 0x038f052b, 0x9c2b31d2, 0x931eea9b, 0xf7b248f8, 0x7ce4477c, 0xa98b7979,
+    0x13651e66, 0xfdd6f831, 0x312f726f, 0x9ca7f78c, 0xb477a58c, 0x543f55d0, 0xe0a48c0b, 0x774982a0,
+    0x909a5323, 0x7d60f1e7, 0xb2ffbc00, 0x7dd6c2eb, 0x3bae9e71, 0x743d4f0c, 0xcdccfb88, 0x105f2d92,
+    0x2d11dbf8, 0x2f79d7c2, 0x326282d0, 0xac960e09, 0x0b7890d8, 0x1a54e16d, 0xe1026d94, 0xe6aaaada,
+    0x3183b200, 0xf990ba20, 0x2dd0200b, 0x2db50daf, 0xab0ff4ef, 0x15378da0, 0x3cf2dd0f, 0xf57c7e10,
+    0x09bf0007, 0xeba6679e, 0xe9cbdfea, 0xb0d658e3, 0xff23d15f, 0xcb97cb76, 0xb592aedf, 0x3d54869b,
+    0x263debf9, 0xb93318ae, 0x0bdf89d8, 0x227b22df, 0xf4f73c00, 0xcfe023f2, 0x2a5d7caf, 0xc27bcf82,
+    0x1df12979, 0x31f140d5, 0x08102033, 0xa7f21353, 0xb708fddb, 0xfaaa8ed6, 0x059b59b1, 0xa82f4d1d,
+    0xb99bcee1, 0x21b0161e, 0xeb100c13, 0xb4ab3488, 0x8e8f37ee, 0x06d86c49, 0x1c2bb197, 0xbc4e021e,
+    0x0ac9f58d, 0x4dd7f4d2, 0xe2dfc9e3, 0xba68e0c1, 0x636ef000, 0x38315c21, 0xe5805938, 0x322e5ac1,
+    0x70a0868a, 0x2a166e5f, 0xbf70f6f5, 0x4a2ddd90, 0xa3019755, 0x66574968, 0x8373c952, 0x0bedc4c7,
+    0xe5c5a48c, 0x31666086, 0x9fdc4486, 0x70efbe0f, 0x181c2c3a, 0xf11129f0, 0xb7830f05, 0x2d88db4d,
+    0xa0c414ec, 0x09ff92ec, 0x0848c9e6, 0x2929ce01, 0x1c851560, 0x816ffd92, 0x2570cb5b, 0xb4e1bf4c,
+    0x2502b466, 0x627f9fa0, 0x8304cdd5, 0x14b097ca, 0xf561bcca, 0xa0e45b89, 0x33d647ec, 0x5313c13b,
+    0x54ce1bb3, 0xd0d31a8a, 0xfb6d0cc8, 0xdb55da98, 0xcd3e05cd, 0x5be211d0, 0x52538e95, 0x843bd07b,
+    0x78e63e67, 0x9b502402, 0xe8536248, 0x149f27b0, 0x08794344, 0x50d27c42, 0x5ad5936d, 0x16d448b5,
+    0x87c56960, 0x1b70f210, 0xf6845ad5, 0x25582adc, 0x0a4571f1, 0xee66d0da, 0x9a13c499, 0x4cc70e46,
+    0x71979112, 0xb2197950, 0x3ceaa56c, 0xdf9a8e73, 0x45f714b8, 0x59cc53f2, 0x38efe528, 0xecbe8cfe,
+    0x7896781d, 0xd04aaf28, 0xb665fe32, 0xaef923ac, 0xc5835480, 0x38de5aae, 0xcec1df20, 0x8d29721a,
+    0xe945205c, 0xcba38c9e, 0xba36d20b, 0x63901e22, 0x63400bb0, 0x995f090d, 0x40cf3bd1, 0x6bcabc38,
+    0xfe37a071, 0xa14a52ec, 0x0e19947a, 0x78b4d8a2, 0x89d0fb6d, 0x074c950a, 0x30249d09, 0x8c9a39c1,
+    0xdfe8d670, 0x9f12777f, 0x403aea0e, 0x2d48fd6a, 0xc8616e6d, 0x2aa12a77, 0x0fd29bfc, 0xf773a773,
+    0x776e4a8d, 0x48704246, 0xef1ff763, 0x3d9a7b49, 0x8f41c502, 0x81d4d159, 0xfcb93ec6, 0x4def178d,
+    0xdeff051c, 0xc2944e5b, 0x10b86f4a, 0xe8366fd2, 0xdb509680, 0x6a68bacb, 0x6393f25e, 0x23a59cef,
+    0x3c70acb7, 0xc54da5dd, 0x70d12394, 0xc1a77371, 0x62a090fd, 0x962b2488, 0xf59b7a97, 0x2f0b5388,
+    0xa3fedb55, 0x888fc63d, 0x0acf8294, 0x069034c0, 0x5c1a9f96, 0xac0ffdef, 0xcfbd624b, 0x7d1cfa1e,
+    0x5deb2c63, 0x035e8838, 0xb90885fe, 0x0fa8f987, 0xcfad5be9, 0x259a8f04, 0x41c5ec03, 0x0d20887e,
+    0xf14e0558, 0x4bfd5d20, 0xa5973149, 0xdecb217d, 0x2e832bc8, 0x4cd78727, 0xbe8464b7, 0x210b9141,
+    0x479aeba3, 0x4dbaf0c8, 0x0d82104e, 0xe47dc2f3, 0x202c98cf, 0xd57bd11d, 0x1c390954, 0x1aaa49bb,
+    0xd854f16e, 0xe700937a, 0x89e9be5f, 0xbbb4f946, 0x771f9845, 0x2d924f59, 0x1c2fd9ba, 0x93722449,
+    0xbef00ceb, 0xe25d148a, 0x9f807983, 0x38587033, 0x85eba2f3, 0xcee4dd6b, 0xa12783fd, 0xe759c46c,
+    0x19909300, 0x34ed7647, 0xaf45a9c8, 0x0e392594, 0xf537d59c, 0x2e99f091, 0x6dbaeb08, 0x8a1453c3,
+    0x1cf0f96b, 0xbcb5d146, 0x2ad2c036, 0xa8a525d7, 0x94fa3cf4, 0x3aacdd00, 0xbeffa678, 0x1c3f6108,
+    0xdae6d850, 0x934fb9e2, 0x74bf172e, 0x844fdfdb, 0xf55ab516, 0xc8f3a7e8, 0xc292a643, 0x72841ae4,
+    0xbe1c78f7, 0x84f503a5, 0xfa062032, 0xc8cf8ed9, 0x5e9f48d3, 0x0472da34, 0x3eb78260, 0xa417d166,
+    0xf4d039b3, 0xe983e011, 0xbf381025, 0x6a21ef96, 0xe233ed85, 0x56c4c50b, 0x70cd1874, 0x1d6ec842,
+    0x364e1365, 0xa967e1b9, 0x8c422cee, 0x0e611700, 0xa86d8efa, 0xd97cde0b, 0x4c91ac29, 0x9bd2f299,
+    0x9f61ea31, 0xe89a7829, 0x5a30163d, 0xa77352e9, 0xee15b554, 0x22b4934b, 0x0f5095a9, 0xae59c998,
+    0xeb83e284, 0xdc870dbc, 0xe5e49e54, 0x0cbdb642, 0x67d43e77, 0xd72f8f53, 0x36fe97d9, 0x7be828cb,
+    0x661ceccc, 0x0913d64d, 0x7ffc81f0, 0x2dea32db, 0x20c409fb, 0x57064678, 0xb77405a7, 0x20b7d1ad,
+    0xc14df60b, 0x4fbfd48c, 0x60aceb34, 0xec223d44, 0x6f155387, 0x5decbd70, 0x3160444a, 0xf01895b3,
+    0x93b38ec1, 0x844b8abd, 0xed9d3270, 0xf779ee41, 0x39d80a4c, 0x9d535a31, 0xf1235ef1, 0x3344b4a5,
+    0xdf118c19, 0x19513e25, 0x132760cb, 0x8bd4cf6a, 0x0c9438fa, 0xc53a6311, 0x48f561f6, 0x7c6c0720,
+    0xe1b7b6ce, 0x43a85b03, 0x06c0a903, 0xf356ae3e, 0x9fb65ec9, 0xa9d08d35, 0x373d88c8, 0xa91255ad,
+    0x47e04962, 0x3f38eadb, 0x3a0b45d7, 0xb5bd5e94, 0x8a110ce3, 0xbe33f45f, 0x39fd43c4, 0x1d81a7ef,
+    0xf5c0e545, 0xcf26036e, 0xb65fcab7, 0xaad6cadf, 0xe38f5595, 0x77eae298, 0x2275a578, 0x17645973,
+    0x44f4d863, 0x4bc43963, 0xcc45e836, 0x66f71b66, 0x658acf84, 0xc16c01a0, 0x0d8eb053, 0x2c508d77,
+    0xd7413f36, 0xd93f175e, 0xc6bb7c8b, 0xd55a223c, 0xbfafbe49, 0x42cbec15, 0xf7f81ba1, 0xe133069a,
+    0x00000000,
+    0x0552714a, 0x8317076d, 0xc08588ab, 0xe98be66b, 0x4dfdf461, 0x4ac5b925, 0xa8072131, 0x92cc9a4e,
+    0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000006012269011901013063397070327780702\
+                          79008174732520529886901066488712245510429339761526706943586500787976175353856 */
+  { 0x00000000,
+    0x8e5868ca, 0xa85c7a62, 0x28a4ae6e, 0xe639d408, 0xb7a23b12, 0x555e6f82, 0xa5565081, 0xab9e52c6,
+    0x3b74a945, 0x3221d767, 0x2b267845, 0x9e193463, 0xcd09c1a0, 0xf22525b0, 0xbfc5c5e5, 0xef17eb5f,
+    0x34be65ab, 0x483a3a10, 0xc8b2802e, 0xbbaab94c, 0xcef66119, 0xc54ba9a9, 0x1c8fff17, 0xa559140b,
+    0xaac70daa, 0xab5781e0, 0x09397787, 0x90263844, 0x3224577e, 0x7e4d9dd6, 0xcd9cddcc, 0x357cfb3a,
+    0x10b4f1c7, 0x12b27d70, 0xfcf0e937, 0x3bdfe592, 0x03963c42, 0x09d46e95, 0x26831783, 0x9d1f727a,
+    0x9de4f5ff, 0xccded6e0, 0x1a93b5f7, 0x13d37135, 0x4da9ece1, 0x01a61495, 0xb658e2ec, 0xa2c58b30,
+    0x70a99487, 0xc167d183, 0xc52c31a0, 0xe78c0575, 0x68ac86aa, 0x0fd763db, 0x5ec33a90, 0x6f8dc1b1,
+    0xcbcd9988, 0x590fab47, 0x4564b629, 0xfb056a2f, 0x71310a91, 0x60a4abad, 0xf866e90d, 0xa85618a0,
+    0xc034fe2c, 0x592d852d, 0x31a053fe, 0x5560364c, 0x4a489835, 0x90e5dd2b, 0x77366775, 0xb87f1211,
+    0x07573388, 0x00d62934, 0x4d3afa9b, 0x99c2f0b3, 0x37e8cfc8, 0xe3dd3772, 0x4d2ef5ec, 0xe3a20ec4,
+    0x428d2aa7, 0x51743787, 0x5506f1f2, 0x094bb979, 0x0273f2ed, 0x6f16174e, 0xff411823, 0x81233521,
+    0xac15e1b3, 0x4586ed41, 0x02db15a2, 0x7433b211, 0x966bd288, 0xe76d96f8, 0x4dba15bd, 0x83658a96,
+    0xb9f1cf73, 0xe5ce56d0, 0xd8caaf28, 0x0550adcc, 0xf202f8d4, 0xa3b9d8e8, 0xa0754530, 0x4d0910d1,
+    0xcf655a53, 0x9dafe88e, 0xed9d80d5, 0x24c2fce0, 0x67c785d9, 0xdc459cb4, 0xdb0085e7, 0x96a6ae4a,
+    0xe28e6705, 0xa7f33c26, 0x15599e84, 0x0971d79a, 0x72875f00, 0x1c7416ca, 0xe38b191f, 0xfb715c54,
+    0x85731de4, 0xa5fdbc8d, 0xfe47371c, 0xcc603df3, 0x1217ecfe, 0x1e9eb5bc, 0x662511ac, 0x2fab703c,
+    0x710911ba, 0xef082b74, 0x8b4ab7d6, 0x2f88b9e1, 0xacc72cb3, 0x765d69ce, 0xb9e880f7, 0x83dc6089,
+    0x5d45c152, 0x73e95abd, 0x4f5aa1bc, 0x97baea2d, 0x7ee2356f, 0xdda83425, 0x6b349dd1, 0xf9ebf9bc,
+    0xf706ae10, 0x07aaecfd, 0x59fc25f1, 0xf5fe296e, 0xa85eca6a, 0x98f42541, 0xa43e4ef1, 0xd522e9a6,
+    0xcb8e665e, 0x4eba8b0d, 0x0775644a, 0xbfb6730c, 0x54858e5a, 0x182d8522, 0x91f39c31, 0x81c3ba3f,
+    0x4faa20e0, 0xad25963c, 0xd49911d6, 0x390a1ad2, 0x7c51df92, 0x5fc3ca1a, 0x7445b2c1, 0xea2055f6,
+    0x0881fa90, 0xa5cc2066, 0x25cb03bf, 0xc5727f34, 0xf8e732ae, 0xea3f9d38, 0xa38f6637, 0x94298516,
+    0xc6352871, 0x749f15c2, 0x571a3cc1, 0x1a941417, 0xb2c46ec3, 0xc2cd78fd, 0x135f9b8d, 0xa95cbf37,
+    0x3ab54555, 0xe3332a7e, 0x4d3b0290, 0xc8008427, 0xd152e9f0, 0xca7f480e, 0x90aec08f, 0x5942fa43,
+    0x8b0a60e6, 0x508e7aa2, 0x5de7a27a, 0x826feed7, 0xdd674d9f, 0x2a53a414, 0xce1a2af0, 0x4fbd0732,
+    0x90053803, 0xefab4e8c, 0x0462eea8, 0xa9dd03e6, 0x85e29898, 0x00013050, 0x4f58cc47, 0x41f53a7f,
+    0xb8dd2dfe, 0xf4ed7c4c, 0x3bd4289f, 0x941fab6c, 0xf186d206, 0x4feeb7fb, 0x0c1ea218, 0xeea0c230,
+    0xbbe66faa, 0x5792086f, 0xd0959618, 0x12bfaed9, 0x1e2ec4c6, 0x51a9596b, 0x21cff032, 0x5596f2cc,
+    0x1536aad4, 0xf370ac2d, 0x60c16d44, 0x4295a4ab, 0xa99d50f8, 0x71993d29, 0x3c1eeb5d, 0x07a95bbf,
+    0x835d729d, 0x5eaef8de, 0x91d07b42, 0xc3d99e67, 0x76f3b2f8, 0x0d8204f5, 0x43145ead, 0xb97b864b,
+    0xd991963f, 0xdb566f9d, 0xc46a62f5, 0x35a51802, 0xcc806569, 0x6e6e8205, 0x63bc0dff, 0x248c2c7e,
+    0x73f728aa, 0x4b19a279, 0x25fbb60f, 0xb912a063, 0x7f3a6c0b, 0x5076a56e, 0xf5e36706, 0x9c8a3993,
+    0x8edc0c4e, 0xba36b1de, 0x45510c89, 0x3c38db4e, 0x81737a82, 0xce0b92d8, 0x28eeffa5, 0xb2030015,
+    0x675de837, 0xcd36680c, 0x4a66f331, 0xd443e370, 0x8b5d8cd8, 0x6e3cd9ae, 0xf204bd3f, 0xf49892ff,
+    0x9921dd8e, 0x4ccb8891, 0xbcee4c01, 0xa2ef9f06, 0x51ab5230, 0xd429f09f, 0xdbfcf0a9, 0x523f23fe,
+    0x401e9774, 0xf40865a8, 0xb31bcff1, 0xdf0aba48, 0x51c70192, 0x3f49731d, 0xff3e8252, 0xc8999b8f,
+    0x1df4fa34, 0x78868b12, 0xbd58c058, 0xeaef51e6, 0xd9b9f82d, 0x8a185a37, 0x6cb43c72, 0x3c2e78c9,
+    0x797c8740, 0x8ba0f19a, 0x576daba6, 0x341ac112, 0xb70fb0d3, 0x80575eeb, 0x56a091ad, 0xfa251b50,
+    0x5707d701, 0x7d288943, 0x80c8d0a4, 0xebcf65fb, 0xe625e319, 0xbee0dc5f, 0x79f8ae4e, 0x6a815dcf,
+    0x7f7b9ce2, 0xad7da2b6, 0x4c44dfb0, 0xf691d8f7, 0x1daeb0a9, 0xd59c01ed, 0x1ded1629, 0x88acb89b,
+    0x7b9ec5de, 0xa33076a1, 0xe45a0a27, 0xecf2f019, 0x35361b3f, 0x116a393d, 0x00356c30, 0xa4ef0117,
+    0xcb6fb647, 0xac8d0411, 0x1f25ae4c, 0x847d7905, 0xd9fec62b, 0x350dffc4, 0xa20250bf, 0x0f02143a,
+    0x8aa1d72b, 0x4e5aeceb, 0x5a6f934f, 0x9a3f4534, 0xb36d464c, 0x2df26cad, 0x7f609179, 0x687aac0e,
+    0x1aa30fad, 0xbd5b019f, 0x9840a5d6, 0x196923e7, 0x404f119d, 0x0109072c, 0x76e110b7, 0x0c5bde8b,
+    0x1642d14c, 0x93730a65, 0xe7e3ef34, 0xe727a04e, 0x365f72be, 0xd6d20783, 0x60b3631b, 0x884f01e2,
+    0x57844c2e, 0x847f88f3, 0x7509b60e, 0xa15acac3, 0xbe94b21c, 0x62591449, 0xb789fd3e, 0x3fdcf208,
+    0xa7b7cd06, 0x55bdc811, 0xf2721b4a, 0xaebf4ec5, 0xe0fe0e99, 0xc8f38e3b, 0x11269d26, 0xfac57c6a,
+    0x25eb2bfc, 0x156ef6ce, 0x1cf33b1d, 0x735467ac, 0x978f12f1, 0xfcc95e46, 0xd70bbc7d, 0xdefadaf6,
+    0xd4c010c9, 0xd59e5e94, 0x6fcbf622, 0xc0644710, 0x2eab2293, 0xb6ef61bc, 0x6d302003, 0xdb274066,
+    0x0064369a, 0x7d62f55e, 0x145373a0, 0x54ad54d3, 0x56cca456, 0xc468429e, 0x410b3caf, 0x1b71c182,
+    0x65ade72d, 0xeca69b1c, 0x432c8793, 0x713c26a5, 0xe2ce68da, 0x84c3c91e, 0x6a44a79c, 0xf81711cc,
+    0x2ec11133, 0x8f676b49, 0x811ebc76, 0x47a43a73, 0xeff83e22, 0xdb8816b2, 0x5fc31294, 0xb620ea86,
+    0xb93f00a4, 0xd511f04c, 0x17989408, 0x495d9681, 0x49340a7e, 0x2e002294, 0xa3ed52b5, 0x6afa8bc2,
+    0x86a0b024, 0xa02cf806, 0xe974bd76, 0x7202261f, 0xd17b7679, 0xcdc17b21, 0xe205d9a0, 0x81e26758,
+    0x88cd45a1, 0x003ce254, 0xba73a536, 0x657be612, 0x29926192, 0xa94caad1, 0xc38b5285, 0x7a263cb1,
+    0x96c2c8f6, 0x51570d06, 0x7f691bf2, 0xe0834976, 0xe7150620, 0x9c2c19da, 0x68bfef67, 0x7348663e,
+    0xa74fe293, 0x079bb29b, 0xcdfd1b0e, 0xbb10d724, 0x30ac2bca, 0x8191c5dd, 0x9dcc0642, 0x801233bd,
+    0x6dab0603, 0xf6f90f1c, 0xc7960709, 0x77e3ef41, 0x48259362, 0xdb1c316e, 0x1110e0c2, 0x190c3afc,
+    0x99141d62, 0xc5db6479, 0xd25dc155, 0x9e7483a9, 0x5e65625f, 0x683d7bed, 0x1ce1f0c7, 0xb0240ede,
+    0xe2bf99d2, 0x32b0e063, 0x9637b882, 0x067fc096, 0x421abf34, 0x3f5ed0a8, 0xc8ef292a, 0x61e80a24,
+    0xa90d776d, 0x627b2ab2, 0x9139f774, 0x2c4dec53, 0x58989977, 0x7971ad43, 0xcdd672df, 0xedeed779,
+    0x83aaee20, 0xbbd6f275, 0xa5ccdcb8, 0xdb368e54, 0x85c1fa9a, 0x37de2bf3, 0x0e8ca99d, 0x281f37a5,
+    0x9c6bb49e, 0x659aedc9, 0x3e587e9d, 0xc5b52683, 0x8a1db7bf, 0x7aea4b78, 0x95d40394, 0x48d544ca,
+    0x39ed77d5, 0x328866fb, 0xd58461b7, 0x0072e3ca, 0xe0f2208d, 0x0e579704, 0x77dc7e2b, 0xed79d451,
+    0x62f88152, 0xd50ee4eb, 0x874535c7, 0x76a3546c, 0xde52d440, 0xd991ae20, 0xb64e0b38, 0xe7fd3087,
+    0xdbf776d1, 0x38c754e4, 0x0a0ac103, 0xf900fbd9, 0xf6f445b0, 0xc045b6ef, 0x3f908cb5, 0x945f6d02,
+    0xaeaf2bca, 0x969de149, 0x64a89cb3, 0xcc0bc158, 0xbdccf33c, 0x18407cd0, 0x9243df28, 0x9ab83ab0,
+    0x2566d97f, 0x0f9c85cd, 0x6b19f5d6, 0x76ef739c, 0xda92c0f7, 0x33a76459, 0xe66d5b15, 0xf8d0ddd1,
+    0xd6b22529, 0x9b3b1e88, 0xb1b9f6a1, 0xe348ff34, 0x86b459e6, 0xa53b1a7f, 0xdb032acb, 0xdb572463,
+    0xe7f7cf1c, 0x651cbf5b, 0xc8d32db4, 0x7604e977, 0x3158d7de, 0x293565b8, 0xc3f5b9e3, 0x5a9d478b,
+    0x55357a64, 0x24fcb369, 0xa69c1579, 0x37f27b0f, 0x77314838, 0x9aec7494, 0x97c76341, 0x49037ae1,
+    0x08352129, 0xfbf63112, 0x6835b69f, 0xaa8497b2, 0xd98ed405, 0x8cce807b, 0x005bf63a, 0xbb19e182,
+    0xee89e0ca, 0x6f458e7a, 0x7e8a26de, 0x21279ead, 0x2f6eedba, 0xab98af61, 0x79be6617, 0xf3696a83,
+    0xe1919930, 0xd2f83d3a, 0xa7c3c2e0, 0x6d680ca9, 0x3f76755c, 0xcaae3045, 0xdd89734e, 0x0bf904f7,
+    0x74480615, 0xf2fa7cf5, 0x85f7664c, 0x7cc8c518, 0xd746441c, 0x8b7589a8, 0x27cb62dd, 0x3f36c16c,
+    0x48acf089, 0xde6d73ab, 0x168dffa1, 0xe3eea7c5, 0x8afd7421, 0x2b66352e, 0x411c7ac8, 0xb6a2de66,
+    0x88f965c5, 0x68c20ec1, 0x51dc6772, 0x2a4aa7c1, 0xa0fc5b8d, 0xf748de5a, 0xe3ac775f, 0x84f70dfc,
+    0x4d4775e4, 0x022beb6d, 0xcd169ed1, 0x10d0dca0, 0x8a6d8fd6, 0x0e1c7c07, 0x8ac6b7f6, 0xa6549229,
+    0x1532fa6c, 0x825b97a3, 0xb5175aa8, 0x6f0c90d8, 0x3376cd50, 0xb1928151, 0xb979ebb1, 0xb3919c4e,
+    0xf3f542c5, 0x997365df, 0xf72dc6ca, 0x74aa1e1b, 0xf53b4501, 0xf7687f47, 0x7511e817, 0x63138f3a,
+    0x91b2f82f, 0xea7b4538, 0x67b5dfc9, 0x814086a4, 0x18e2d598, 0x49e67b2d, 0x0c293b75, 0x31c0dbec,
+    0x6a58e743, 0x356cf725, 0x4321bf74, 0xd46a5bc9, 0x5f8c56de, 0xc16bc109, 0xaa73860b, 0x35e561bd,
+    0x1fbe33b5, 0x1c9c77cf, 0x135a8029, 0x7ab5b410, 0x87b49cfe, 0x0c1cfe67, 0xc6fbf32c, 0x7d801d29,
+    0x4ff06283, 0x5127b910, 0x42a387b0, 0xf91b24f6, 0x0ac167d7, 0x40380396, 0x0abaa481, 0x32d0eaae,
+    0x6121c810, 0x43f397c8, 0xbb0886f5, 0xc49cdfb0, 0xbe4bdb2c, 0xcae4504f, 0x672a38f6, 0x24395e95,
+    0x2f4aca34, 0xc03fa61e, 0x79ec4fea, 0xd5bf7d37, 0xa6d50a22, 0x6a9f02ff, 0x1585769c, 0x9d2c99ca,
+    0xa237a1cc, 0x25142605, 0xc0d48e73, 0xfe1de3be, 0x59e1f9f2, 0xe8aa4b14, 0x454c1433, 0xc9356e08,
+    0xcfca610f, 0x775e77cc, 0xef1ca263, 0x9b2494fd, 0x7f23b592, 0x28917e78, 0x0c3ed82a, 0x31936eed,
+    0xadfb0b74, 0x85f1a477, 0xd2debb67, 0x698b6e03, 0xe7452161, 0xcd1527a1, 0x31a806bb, 0x778c3b95,
+    0x627452d4, 0x0a53dede, 0xd04aa7ff, 0x95c94fe4, 0x4ff5721b, 0x3bb82104, 0x75fbf30e, 0x2d749c35,
+    0x00ff8d3d, 0x473fbb59, 0x5a1f2733, 0xb2e20740, 0xed3d2b59, 0xac3d767d, 0x540d524a, 0x4024a764,
+    0xcab10caf, 0x126b1d5e, 0x236a001d, 0xdd998acb, 0x910a4ddd, 0x19dac547, 0xc1f9e8ad, 0xdaa959ec,
+    0xf03372c8, 0xd815d010, 0x8badb501, 0x8837b620, 0x7cc0810a, 0xff1535af, 0xbae77266, 0xd3b174d7,
+    0x5f6ac786, 0x9906b5a0, 0x2a66f1b8, 0x8d582864, 0x1cc55f5a, 0x0747e45c, 0x2c2318fc, 0xb853000c,
+    0xfa62bded, 0x72dd0613, 0x0961578d, 0xa2683cf7, 0x76016f12, 0xa7e9eba1, 0x67a35504, 0x3d253672,
+    0xa3303df8, 0x6ffa129d, 0x9632b713, 0xc5eca96a, 0x10161635, 0x8afe2b3b, 0x4bdadb9b, 0xde19dd5c,
+    0x9ad9d37c, 0x7f9ca30b, 0x14e71d02, 0x1af7a467, 0x1d5157b8, 0xe226e3f0, 0x73ad3f80, 0x7ac91b4b,
+    0x422a5bfd, 0xe20d8429, 0xb8e00420, 0xc954f9e1, 0x2d013331, 0xf2eb4098, 0x7647c5dc, 0x06c2c17d,
+    0xf4f49ecc, 0x5e8749d7, 0x66998f70, 0xfbd23398, 0xf452fb9e, 0x4cf2232b, 0xf92e5ceb, 0x4659d678,
+    0x22b52f35, 0x580abc51, 0x60bf81f8, 0x49268d6b, 0x37dc8011, 0xf0cd37ba, 0xb9389659, 0x966b1fad,
+    0x0e11c1ac, 0xcec71e96, 0xfaef647e, 0x2a442fa1, 0x71a897ab, 0x106898ad, 0x3136b103, 0x9396d6ef,
+    0x2fbaca06, 0x28386bc7, 0x594a3cfb, 0xf6172c65, 0x288a5837, 0xb7131941, 0xdd390540, 0x83cfb40d,
+    0xdc67be0c, 0x3b98b03b, 0x3f7938cc, 0x71be6324, 0xd448dc37, 0x4dd03319, 0x16675923, 0x6dd5180f,
+    0x1169f4b6, 0xf0675ced, 0x8f5e022a, 0x59cce260, 0xdb8874f0, 0x42ecf859, 0x56e7315d, 0x3d735088,
+    0x03e09763, 0x4698d387, 0xf9c17587, 0x0b17411c, 0xf6648489, 0x23ada28f, 0x2eb743f7, 0xc0ab601a,
+    0x087bb87d, 0x151bc4db, 0x93c068bb, 0x6f4c5801, 0x146987ed, 0xa53332e3, 0xc8685345, 0xdd70eda5,
+    0xc1cbac5d, 0xbeee360e, 0x4a8af2bb, 0x9cab50a9, 0xef130481, 0x4aa754f2, 0xa9e30403, 0xc2ca1f26,
+    0x1bcfe6a9, 0x2d4c1638, 0x9045f688, 0xc871a48a, 0xae42f10e, 0x566636ff, 0x5b23b8b9, 0xe5aaa484,
+    0xb1bfddef, 0x0653539d, 0xe2037b1d, 0x6ef029a4, 0xdb2fb921, 0xdae0e1ac, 0x4aa3d99e, 0xc7ca702a,
+    0x4223ce78, 0x43b3f13a, 0xf3efaa8a, 0x26fac41f, 0xb22842c2, 0x10b0b1e0, 0x7f474487, 0xfee87082,
+    0x42d4bce4, 0xde27255a, 0x2d41e848, 0xb2c26646, 0x36897ca8, 0xb2f6d5b9, 0x9d761e96, 0xdee4b8b5,
+    0x51582e99, 0xca1d61f7, 0x100f04e5, 0xa4b6ef8c, 0x6e7caa7d, 0x891748f1, 0xcee4721d, 0xd0d45c0a,
+    0x275549a4, 0x28f5084d, 0x13a42a0f, 0xc244fe37, 0x8121d08f, 0x01ee6032, 0xf0d0d47a, 0xb9930193,
+    0xedc14eb2, 0xcf0692f9, 0x0a1bf368, 0xd035a53a, 0x81d7247b, 0x79545c5e, 0x45c6cd21, 0x64f9b55d,
+    0x941a47f8, 0xac538f69, 0x7aaa62e5, 0xa90f41c7, 0x8a0b5bda, 0x59e2dad3, 0xecc438c2, 0x65fa995c,
+    0x49c7fd30, 0x3952057a, 0x32bdd8c9, 0xc0544f0e, 0x83a23b50, 0xfdba1b03, 0xfa36ffab, 0x77b87354,
+    0x430c10ee, 0x87dda93c, 0x07c40242, 0x36d4cebb, 0x7087c38d, 0x948e23bd, 0x5e74e869, 0x8d906e57,
+    0xd49972f1, 0x0c2238b5, 0x3db15c56, 0xc40eac88, 0xa35ae8ce, 0xdcbbf290, 0xfa30e11f, 0x56da4a9c,
+    0x30581cda, 0xa6c60749, 0xd804d4df, 0x8eeaf887, 0x7f5faf9a, 0x2f3fe311, 0x62b76dec, 0xf5a9e72e,
+    0x7c6a48bd, 0x464f1aa8, 0x5349952c, 0xe7aa8e2f, 0x912d9b89, 0x51869d88, 0xffbb7aca, 0xef381e2f,
+    0x8a404fe5, 0xa43f67f5, 0xab9884a3, 0x3e56f321, 0x9e74eabf, 0x9bab303c, 0x23d3687f, 0xf50283e0,
+    0xd56570af, 0x456b4c6e, 0x01c1040e, 0x7c15d55c, 0x0dfa4042, 0xc37bd0b6, 0x79dc66b3, 0xbe49805e,
+    0x148fde80, 0x32210aca, 0x594eae37, 0x958413e3, 0xc0290cdc, 0x7e70b3e8, 0x389caee6, 0x30b93cd3,
+    0x14213d0c, 0xf2bc8030, 0xb475ff6b, 0xe6054c74, 0x92ce997f, 0x4674b832, 0xf48a0330, 0x8565d009,
+    0x9fbadb24, 0xdf538fa4, 0x82f4fc2e, 0x26d3f875, 0x8a789d71, 0x78330789, 0xc8b2f62a, 0x6771a124,
+    0xd1982151, 0xc57ca91a, 0x568ff501, 0xfa8be86b, 0x65d83db7, 0xb75878ee, 0x3e7d32a9, 0xf01b352e,
+    0x00000000,
+    0x82a938a4, 0xc18b83b6, 0xe042c455, 0xf4c5f335, 0xa6fefa30, 0xa562dc92, 0x54039098, 0x49664d27,
+    0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000003006134505950506531698535163890351\
+                          39504087366260264943450533244356122755214669880763353471793250393988087676928 */
+  { 0x00000000,
+    0xa676fc7d, 0x4f115674, 0xcb2716e2, 0x8a65c6ce, 0x5591192f, 0x7168e459, 0xf4495219, 0xbfecb1a1,
+    0x0c0ced36, 0xc19ba03b, 0x534001d5, 0xbb5e4824, 0x38e084c2, 0x9c4c2ae6, 0xf5db8b83, 0x0a6491d1,
+    0x12c0ba1f, 0xae73cd29, 0x3f657223, 0xf04b8f70, 0xd10dc093, 0x9a0b5cc5, 0x3a4f64e9, 0x10755ea3,
+    0xf61951b1, 0x3f1592c8, 0xb37c0553, 0x0e3f1cc2, 0x933d5611, 0x7dbe1224, 0xa9c853c2, 0x7ef4fa12,
+    0x526e695e, 0x3cc5c3b5, 0xba28f1ac, 0x2c38b2f2, 0x55a04518, 0xe15ee0d5, 0x5497c9b6, 0xb3e5b711,
+    0x65ba6945, 0x6f87ae91, 0x54328015, 0x941d5559, 0x50a535c7, 0x940c83c9, 0x52b4b278, 0xc3979799,
+    0x540026e3, 0xb405d2a2, 0xf1a41010, 0x6e3ecd68, 0xcd9be0ad, 0x3277b66e, 0xf4a6673b, 0x0a2ce3b7,
+    0x5642372f, 0xec5e12a2, 0xf58c2272, 0x2fc7f6da, 0x3fbdf5b5, 0x9c661fcf, 0x0e271a36, 0x9712841d,
+    0x47b302d8, 0xef16a2ba, 0xca0ceeb2, 0x72b12cb6, 0xa3dc8411, 0x8e095932, 0xbe8b1478, 0x27cb9415,
+    0x5893e589, 0x60c9fd99, 0x02257410, 0x57a84bb7, 0x33416518, 0x40f11127, 0x111993e8, 0x071397ba,
+    0x94b5e009, 0xe39eed4e, 0x95bccd3a, 0x574af09e, 0x3397dca1, 0x36cbc2e1, 0xc2d60b4c, 0xf972fb01,
+    0x6664c624, 0xcf85603f, 0x39080121, 0x14ea5f2c, 0x78b3e6c8, 0x687d26c1, 0xed65bd50, 0xbdc6b047,
+    0x5cd23db8, 0x5e179417, 0xb5fc4de6, 0xe4fb16be, 0x176154aa, 0xe331d0b3, 0x3765f770, 0xd1cbf589,
+    0xcd4eda62, 0x3ec7423f, 0x46a9a85b, 0xdfd58103, 0xf7be8bea, 0xee871080, 0xf0fe1334, 0x43be13f8,
+    0x960dc780, 0xc41511cc, 0xdb43fb53, 0x9413a59c, 0x03086d05, 0xd9f05ed5, 0x8763698b, 0x5f4e6a66,
+    0xe1ff9156, 0x3c710d3a, 0xed5cba8b, 0xd818648e, 0x278b4036, 0x7ca06add, 0xaa0882f0, 0x616616f1,
+    0x95f642c8, 0x33b3389c, 0x449437b2, 0x60a0d4ef, 0x7ff5d6a5, 0x7822a9a9, 0xb54f2d7e, 0xfa58b0c2,
+    0xb09c8fef, 0x7a5289e8, 0xdc841666, 0xbe3d9c75, 0x144e89f2, 0xa85201d1, 0x4b2fb018, 0xa34f518a,
+    0x4b4c1782, 0x715f15e1, 0x0a0d0d22, 0x7bbbb8a7, 0xf85c63ea, 0x876c4726, 0xb52d3549, 0x6d04580b,
+    0x075661f2, 0x1a7a87f7, 0x9eeadbde, 0x1085f615, 0x3570fe11, 0x4e248f14, 0xf7c5b06a, 0x5c7cae43,
+    0x715188b0, 0x8e42b107, 0x1fc30774, 0x46f6bb4b, 0x6f1f3c3f, 0x5a2ce2e3, 0xb86a0d96, 0x74a869e4,
+    0xb33ef06e, 0x5988748c, 0x1177ba46, 0xb833c826, 0xde417e5a, 0xd6ba97fc, 0xfd82fad7, 0x54e6bfb2,
+    0x1a7e01cc, 0x35d09b2e, 0x4083d163, 0xd5e3f2c3, 0x9f31fc69, 0x078ff9e5, 0x14eb7ea7, 0x6ae9bd31,
+    0xc3f34858, 0x5daa0922, 0x28271c87, 0x2672ddf5, 0x8252fed6, 0x3ac06917, 0x8a35ab82, 0x572d45aa,
+    0x290f660f, 0x1f63a6ee, 0x9e369a3a, 0x39ecb583, 0xcb6534af, 0x6da01b37, 0xb44c28ef, 0x9bff6907,
+    0x49b00704, 0xe0c61575, 0x3418d5fe, 0xfe7997c7, 0x0502da70, 0xf82ad715, 0x59f13771, 0x912160fd,
+    0x65c30a82, 0x96908269, 0xb9429d59, 0xa6c7e5b6, 0x7f698b6d, 0x487bef45, 0xa87aab54, 0xba40c59f,
+    0x3cb910ad, 0x782c62a7, 0xe92542ab, 0xfec0f6a8, 0x5ffe1064, 0x04c37668, 0x7b99937f, 0x45dfb54f,
+    0x45a869aa, 0x81b4f86c, 0xd2ad6382, 0xa7f7fa1a, 0xce9675c4, 0x7856eb84, 0x64ede9cb, 0xd2937a05,
+    0x1b184820, 0xd68138b1, 0xca72aee0, 0x31ab34d8, 0x7f6e0f92, 0xea4a2957, 0x817ecc0f, 0x12b7090c,
+    0xed4f4b54, 0x8ce6b083, 0x80fdf011, 0x22b5aaf4, 0x1a5a1a58, 0x816c01ce, 0x8bec661c, 0x24548c7e,
+    0x2430b4a9, 0x4e7dbe88, 0x1d05abe7, 0x13acd15c, 0x7fbfc65a, 0x4ebd300b, 0xbe36d580, 0x9ff4f956,
+    0x7dddade7, 0xa598983f, 0x6e88f895, 0xf154e1f5, 0x3a85310e, 0xd37f2d20, 0x944d54df, 0xf818085b,
+    0xdfb15272, 0x2721a751, 0x67f91f4b, 0xe7f7e29d, 0xc81c443e, 0xc1e0af3e, 0x136f1a87, 0xa919a31d,
+    0x892e9020, 0x9023d53c, 0xa659d352, 0x866e685b, 0xc9834f1e, 0xff73a9fd, 0x6675964b, 0x3b2ceb71,
+    0x6979d87c, 0x87b73581, 0x504daa7f, 0x092a424f, 0xd1515060, 0x6cb0e9b9, 0x7a338bad, 0x00b38934,
+    0xd1caf57c, 0xb5d15f0e, 0x0d469189, 0x76cde858, 0x65a5fd97, 0x055bc2d6, 0x7db5bcab, 0xc1563990,
+    0x9b610326, 0x23ede600, 0xbecece82, 0x745d8e27, 0xae3e9c7b, 0x37359188, 0x08516986, 0x3d32f0c5,
+    0x3439fbad, 0x256a6b28, 0x54440b7b, 0x9767fbfe, 0xf42196db, 0x788eed0b, 0xfad0e4be, 0xc06d9f3d,
+    0x5f5953db, 0xdd266341, 0xac9f6cad, 0xcbab0059, 0xb9bd8d28, 0x78b06ffc, 0x39f5d52c, 0xb91bf7e5,
+    0xab76c67a, 0xbbc59d9e, 0xf013c12a, 0xc677b506, 0x06f5b126, 0x3818bfed, 0x39ce4d9e, 0xf186864e,
+    0xd18296bd, 0x28ce673e, 0xabb512ae, 0x8482033f, 0x3d5d26a9, 0xfff39108, 0x4678ff7c, 0xab83446e,
+    0x0544d7df, 0xe65f76a9, 0x2452fd42, 0x10061760, 0x451c4a88, 0xca968213, 0x5289fac1, 0x92d9977f,
+    0x47a1faf4, 0x5480d634, 0xc768dad1, 0x798a6ac9, 0xa20d401a, 0xcf24104d, 0x41742389, 0x8b0c2e54,
+    0x1866df63, 0x16faec41, 0x7b5b359b, 0xa213d19b, 0xe017ada7, 0x94e622c2, 0x758870aa, 0x69e325c3,
+    0x8e6eee18, 0x3c7fe174, 0xb1f7325f, 0x10dcb9b1, 0xebacb881, 0x07b96e36, 0x9efea6df, 0x8cfe8ee6,
+    0x6a206e82, 0x18e04682, 0x9b54359f, 0x4c113906, 0xe76b26b1, 0x594386ac, 0x451eb0d9, 0xf42ab60a,
+    0x02545805, 0xa81bbae4, 0x93b69c62, 0xfb98a715, 0x37a49e44, 0xea292df4, 0x61f6e6ac, 0x721b4623,
+    0xf6b0c521, 0x8e8a68f3, 0x2242f6dc, 0x352fd9aa, 0x77d7c05f, 0x4d5c45fc, 0xa9f3758a, 0x455c6c55,
+    0x9b707213, 0x2b46e46c, 0x877f60f8, 0x486cdbd8, 0x46948d6e, 0xbfbbe8f5, 0x8e41de5e, 0x8c3508ea,
+    0xee9fd682, 0x41a46691, 0x9b56688a, 0x3725a217, 0xe73a75d0, 0x356c5ea1, 0x81f685e7, 0x8668bf9e,
+    0x5f9d7304, 0x73705a44, 0xd8be02d9, 0x2a048de1, 0xe3405463, 0x82bd7d33, 0xe9d92878, 0xc449f0b2,
+    0xa6db1d43, 0xf54daf20, 0x2c72d241, 0x2c3d5b66, 0xbbd61699, 0xea1f8f87, 0x40f25345, 0x7ebdd8e3,
+    0x42a1c703, 0x4e5fd1f0, 0xd207b930, 0x446076ae, 0x61f99b7d, 0xd2f4eca3, 0x7430a294, 0x5e0eb1f8,
+    0x44c06304, 0x6c4abc0d, 0xe508514d, 0xdceeacf3, 0x85b458f0, 0xa4cfc711, 0x410483fc, 0xfb8c1135,
+    0xda8b623b, 0xa9df3b7d, 0xcfc083b3, 0x5878049f, 0x183470d9, 0x23b0e308, 0x82944997, 0xccc4087a,
+    0x70723b0c, 0xeb3b0daa, 0xb1b7223b, 0x4d7dfd11, 0x223c04f2, 0xf3e351bd, 0x41241338, 0xfc4393aa,
+    0x4e7c3a42, 0x4c0f6f50, 0xe8963c97, 0x7dd2c5ce, 0xb005dccf, 0xe25951ea, 0x3322d1e4, 0x7b4dc7cc,
+    0xe5ac8718, 0x04277e54, 0xd73bd83d, 0xd3f032a5, 0xfba6e925, 0x2276e4b9, 0xc41b6106, 0x0a9243b9,
+    0xc0eb69fb, 0x3da50830, 0xb639a1e8, 0x0ef11d9a, 0xdfd73482, 0x176ed5d0, 0xa277958d, 0xe68b6221,
+    0x51c65f50, 0x40ba48b7, 0xc47f1547, 0x22151bbf, 0x9336182a, 0x2ff660aa, 0xa0d51952, 0x20ce8f42,
+    0x134e3a5a, 0x89b92a92, 0x8d392e14, 0x59f299dc, 0xfa758e95, 0x853576a5, 0x3e209bec, 0x97446cfc,
+    0xf4872deb, 0xac92921f, 0xa43a6aa6, 0x9c711065, 0xa2c20493, 0x4901e2a9, 0xb60d853e, 0xcc7e2a26,
+    0x53bc84e0, 0xdb62ffcf, 0xd9b6e09b, 0x89dc51c3, 0xbbce73a1, 0xcf9e1933, 0xc12f7e76, 0x04c012ac,
+    0x1b3ad3a7, 0xb9f28de2, 0x726b5c19, 0x273efec2, 0x71267c7c, 0x7efbbaa9, 0xf0964eac, 0x16478a0b,
+    0xa4a49e30, 0x3ed367b9, 0x5791f0d9, 0xd4f51c9a, 0x3bce92e0, 0xf8514bf7, 0x19f31b8c, 0x3bf9570a,
+    0x00748a92, 0xbbd7bcb0, 0x98e66e87, 0x7574fa3f, 0x894aaef6, 0xacb7bccd, 0xad9ffa95, 0x1f9bea7b,
+    0x48b925e5, 0xe19fa549, 0xa1710682, 0x624bd7c4, 0x5dfb1232, 0xd4b19545, 0xc81fbb7d, 0xb66f8a1a,
+    0xf908a254, 0xd8bf2e52, 0xd8540854, 0x20eb68fa, 0xc51db5c8, 0x48803de5, 0x34a3359e, 0xee4e8401,
+    0x0398376d, 0x53dc33ee, 0x5edd12fd, 0x3172d2fc, 0xd17de756, 0xb15a7a97, 0x9b1d8633, 0x605fc1a1,
+    0xae8959aa, 0xf3345986, 0xba100e34, 0x06b02256, 0x05768600, 0x0f317b00, 0xa1ce9da1, 0x5b5dbbfc,
+    0xc0dc4794, 0x94275a3d, 0x50183426, 0x0e53ca86, 0x47152660, 0xb872605d, 0xbb5c19b0, 0xa6bfa389,
+    0xa647b75d, 0xa0f15df7, 0x70372f2f, 0x5766ded3, 0x2d7e9e71, 0x863893eb, 0xd36ce157, 0x2898c2c1,
+    0x64f3748d, 0xf66fc1dd, 0xaa163896, 0x1614124f, 0x66df0b84, 0x073e415a, 0x7eee3ba5, 0x83c9b212,
+    0x8619a1d3, 0x5488a80c, 0xdb1797c2, 0xc6fbbe64, 0x755f34ef, 0x9dede3f8, 0x9c1a2eb4, 0x88c8bb2c,
+    0x8fecc2b3, 0xf0245e89, 0xd75b4a32, 0x6e840ceb, 0xed4bcee8, 0x7b70a5c4, 0x31d44ef1, 0xb2e37164,
+    0x62bb0532, 0x2cf523b1, 0x5caa7a83, 0xa139fed7, 0xb5153c9e, 0x81af7b2f, 0x51dd6f68, 0x9e10e007,
+    0xde65a02e, 0x82066058, 0x9de96a18, 0x777f224e, 0xa43e3fcd, 0xfae86947, 0x2bee65d9, 0x1d0869d0,
+    0x057a9c73, 0xa9a00a07, 0x1cb5d6ce, 0x1ef7bf8f, 0x7b779dde, 0xb4397016, 0xf0ea6a76, 0x552fbe18,
+    0x640cc7eb, 0x4543129a, 0x4f00ff85, 0xac074527, 0xa3be96fb, 0xcd40b2db, 0xc03c3c59, 0xef1f6ba6,
+    0x5b4cd5ca, 0xcdb6fc30, 0x90a98a99, 0x0d121364, 0x3aedf66c, 0x3450ec98, 0xd29416bf, 0x352272b3,
+    0x58de8cd5, 0xf38230cb, 0xca9273d8, 0xdc6515b4, 0xcfcbf2b4, 0xff37b741, 0xe3a6930d, 0xc6e70da2,
+    0x0e37b4ec, 0xd4daea00, 0x29fb0152, 0x285c2057, 0x74de76cb, 0xdf7c0a05, 0x3c332a2d, 0xf6bc93ea,
+    0xaf49a40f, 0x975fc428, 0x2e29bcf8, 0x3a0c88c7, 0xde0d743d, 0x6033f5e1, 0x748457aa, 0xc0125347,
+    0x5a9d1391, 0x13c82207, 0xd8cadf07, 0xc8935c7c, 0x4bd19eb6, 0xc5d87075, 0xc488387c, 0x59511af0,
+    0xe0d336b3, 0xf9316a81, 0x995603b3, 0x33bc44df, 0xe7a6ed4c, 0x194b3fbc, 0xea9f788f, 0x95b30904,
+    0x6942dba7, 0xe12edafe, 0x65ddd949, 0x40239afb, 0xd14506e0, 0xa02e937b, 0x6c0459cd, 0x2df243eb,
+    0xc103dc72, 0x71d4357a, 0x53902a82, 0x6b678c90, 0xea21d5c6, 0x7afff633, 0x4da212e4, 0xd1f76c44,
+    0x123ba776, 0x9988ad1e, 0x6ec211ef, 0x45b078d8, 0x4741dfaa, 0x5b8aabaa, 0x514faee1, 0xc47e7029,
+    0x2e8c7e81, 0xecfbd8da, 0x6d71ff78, 0x62a326d6, 0xac825cf5, 0xb3a8a1dc, 0xa1be60eb, 0xd643dc90,
+    0xb4b244e8, 0x54830ab9, 0xcd19c791, 0x17d0c46e, 0x8d993fbf, 0x11d9e3f0, 0xb1f074d0, 0x88fcc576,
+    0xfd63a5a6, 0x0b3a6c54, 0xf2f2758b, 0x46856d96, 0x1de45c19, 0x65697c56, 0xc5da9957, 0xca13e8a7,
+    0x253cb6dd, 0x2ce0f13b, 0x27f56a93, 0xc26c358f, 0xb6c5feea, 0x8b53cd94, 0x3a5fae4e, 0x958d00bb,
+    0xe276d73f, 0x23fc28d2, 0x1c5c44b6, 0x537dfe2f, 0xc5d263ee, 0x67b95056, 0xd6a7f2c8, 0x427fb606,
+    0xaf07c99f, 0xcce2de74, 0x80f105fc, 0xb0c42f28, 0x0cfa2cad, 0x7be5ab21, 0x87feeb56, 0xce98ce32,
+    0x5d90e443, 0x91914976, 0xb6e19cfb, 0x754774b3, 0x318b4b1d, 0x8b2e11f8, 0x2ee44378, 0xa0f122e8,
+    0x97049dc3, 0x25f95b09, 0x607e1beb, 0x38c112a2, 0x7d98e8ca, 0x0517b221, 0x31c639e9, 0x90bb3dbb,
+    0x43c6856a, 0xfa5d0f5e, 0x7d089dde, 0x59224f15, 0xea1996cc, 0x5d4995af, 0x9a9f3369, 0xf01f972b,
+    0x85f30d59, 0xcb61473a, 0x414a66b3, 0x672d7b49, 0xa5147a0b, 0x7655f2fa, 0xf1437bbf, 0xc18c574f,
+    0x4e784b32, 0xbb31bcc0, 0x34f34bef, 0xa1870e1e, 0x84842688, 0xe679eb51, 0x1bbdeb8d, 0x0acbfb56,
+    0x3364e175, 0x7eb37a31, 0x1e919125, 0x1f7e9023, 0xd2700a99, 0x6f30d07a, 0x6ccbe0a2, 0xf6d006d5,
+    0x3c65c595, 0x5a75b425, 0x8fefa178, 0x21927fe5, 0x67715989, 0xa9575e2c, 0x5050de05, 0x497d8cf2,
+    0x8ec4ef1b, 0xda316a35, 0x97c66422, 0x16d022e0, 0x14e878b3, 0x8b833def, 0x4631a16e, 0x1387a9bf,
+    0xb96b5bcf, 0x1d6f96b7, 0x029af71a, 0x83c0f2a9, 0xfdde2a27, 0x28d4b585, 0x8c5feacd, 0x8f09705b,
+    0x8d821aaa, 0x5b9b5ed9, 0xf5a7213a, 0xac595765, 0x0898a6bd, 0x166c1c49, 0xcab1d337, 0x2a38cdfc,
+    0x0e0b1d17, 0x148eaee4, 0x7e5924f9, 0xbc45897a, 0x031d5e3b, 0x39c19cd1, 0xba66ac89, 0xf52821a2,
+    0xc712531f, 0x9bbe2bc3, 0x35276712, 0xe4fb30ed, 0x8989fd81, 0x0635eadd, 0x5873a77f, 0xf23e625f,
+    0x7b124370, 0x871285bc, 0xd78a7221, 0x019457b3, 0x138a1fd1, 0xc1da35f4, 0x73c98b81, 0x51361332,
+    0x1110d5fd, 0xaaf5decc, 0x6af48671, 0x08b10339, 0x963e74e2, 0xed0fb1fe, 0x4c09be6a, 0xce489f3b,
+    0x837eb059, 0x02edb0d5, 0xb98101cf, 0x1fb3fadf, 0x520604e6, 0x58ea3be7, 0xae11c9b5, 0x89e76dc5,
+    0x7e917e0e, 0xf1da7cff, 0xbacc4c9c, 0xa01bf950, 0x98efea89, 0x55ddd1a3, 0xec1d92a8, 0x02ff494b,
+    0x7aed460e, 0x876a4a8b, 0x0184c444, 0x1df5f775, 0xf5057745, 0x3ff5ab3c, 0xd341f40b, 0x0f019d24,
+    0x6ce4b7f8, 0x89d30fb3, 0x907b338b, 0xf0ed7b37, 0x7e80fa81, 0x34f39aa8, 0xf28f87d7, 0x6b4573b8,
+    0x5c9e1365, 0xcc2ec69c, 0x04e8d674, 0x8c03739c, 0xc25da1a5, 0x524177ef, 0x9cb197b2, 0xdfac3631,
+    0xc7cc0ae7, 0x728b86ab, 0xa58efbe9, 0xed9e445c, 0x444ff639, 0x1dd59a06, 0xfa6d157b, 0x1d33920e,
+    0xcd811a95, 0x3c121c1a, 0xd96ee46d, 0xa382361a, 0x8c355703, 0x95b3e2da, 0xc6ae09c6, 0xab2cff6e,
+    0x7114867d, 0x9b9af5cd, 0xdbf6749b, 0xaf830270, 0xe4805afc, 0x684aef3f, 0x691f8695, 0x0455331b,
+    0x2734632d, 0xcfbd043e, 0x77de77f9, 0x89223b78, 0x84090ff5, 0x8a9bacac, 0x1ac68715, 0x762e3d56,
+    0xb2b2ccd0, 0x67dfc141, 0xa873331d, 0x4dcc6d76, 0x8c027337, 0xd885c901, 0xc1043a26, 0x5be39979,
+    0xce046abd, 0x4e3879e0, 0x664a1769, 0x8d7457f4, 0xf12df422, 0x7eb19963, 0x99d1b0d8, 0x3b634c2b,
+    0x22f96960, 0x397489ac, 0xefd2f363, 0xb1441508, 0x0fcdb6b4, 0x585a029d, 0x37e276fe, 0x62c7ea50,
+    0x6eed4f0c, 0x08409c57, 0x6d1c1b46, 0x29678f29, 0xdc0d9363, 0xff2237ca, 0x0d68ed27, 0xc374769f,
+    0xde923606, 0x5313dd6a, 0x171e7199, 0xc4b5cdb8, 0x572aa69b, 0x916bcbd9, 0xc92bcccd, 0xf5760b43,
+    0xb4a9400d, 0x2a6dab28, 0x8f2c5e05, 0x2ccb5f87, 0xc32b58d7, 0x11735430, 0x2e24cab1, 0x67b2fb55,
+    0xa17e5637, 0xe043eda8, 0x98270ec4, 0xf572dc24, 0x244097c2, 0x59061241, 0x6365b91e, 0x570d4514,
+    0x2977ae2e, 0x95b7f41c, 0xdc1ecf93, 0x231365ae, 0xec7b41c1, 0x27e25115, 0x56f0ad93, 0xf7ed01f2,
+    0x00000000,
+    0x41549c51, 0xe0c5c1db, 0xf021622a, 0x7a62f99a, 0x537f7d18, 0x52b16e49, 0xaa01c84c, 0x24b32693,
+    0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000001503067252975253265849267581945175\
+                          69752043683130132471725266622178061377607334940381676735896625196994043838464 */
+  { 0x00000000,
+    0x14ca883e, 0x3f0cc663, 0xd9361cef, 0x28e7d738, 0xaa159338, 0x0cc79bda, 0xacec85b6, 0xfa958779,
+    0x6c800a8d, 0xda2cd4ec, 0xb2b213de, 0x50633acb, 0xd094d728, 0x30a0451d, 0x8df0085a, 0x24728535,
+    0xca5ea641, 0x54caefd0, 0xb99f5536, 0x74b9643f, 0x95e0f672, 0xbe509535, 0xfa2f3a57, 0x9f4b09f5,
+    0xa0a586ab, 0x7ea6637a, 0x1e3a8cfa, 0x7a796315, 0xd03b3ab6, 0x79f9f517, 0x7e99c32e, 0x3a470d8f,
+    0x70aa5201, 0x175f73b1, 0x2b2d7940, 0xe5b115b4, 0x5ac1771e, 0xa5ca575f, 0x4d3f25bd, 0xc5f3f20b,
+    0xd19afb5b, 0x4695146f, 0xd5bc2dc5, 0x5760beb5, 0x8844358e, 0x33c446ab, 0xa6b90e10, 0xa1e44f22,
+    0xc36f118a, 0x4d6144ce, 0x6ea4e74a, 0xa95122cb, 0xe42d6fa0, 0x6774e55c, 0x4bb859bc, 0x13db375e,
+    0x43460c71, 0x99c1326e, 0x416b8940, 0x7e04a84a, 0x33ecbee1, 0x15ce8d05, 0xc402a5d6, 0x972d7306,
+    0x8cd22333, 0xaa7de424, 0x9d3ae1a9, 0x2f3db7b6, 0x79fae89b, 0xe5abc913, 0x1e7c22e4, 0xc9aa3f98,
+    0x7b1f03a9, 0xed7c2b61, 0xffea8615, 0xe3ee5fe7, 0x46addd3d, 0x6a688e78, 0x6f58473a, 0xf73637cf,
+    0xe14a1650, 0x4c37c7ff, 0x37005e08, 0x60a2f53f, 0x09386868, 0xa8cfbbe7, 0x426a8a71, 0x4a5f019d,
+    0x8dc23b05, 0x9e26082c, 0x93b5e6dd, 0x0ac8b38c, 0xd5a949ce, 0x7f9f5a71, 0x9e3d5cb5, 0xb52fa65c,
+    0x20637331, 0x5b839050, 0xccbe6c62, 0xf218ed25, 0xfe9dcc08, 0xbd23ac47, 0x655ddb4b, 0xff6df892,
+    0x24171274, 0xad2536da, 0xf4f4e706, 0x5eeb64ea, 0x25512713, 0x0c29cf44, 0x3e645768, 0xc90172ab,
+    0xcafc893e, 0x68a234d2, 0x74b41ec4, 0x59408626, 0x1fb7c351, 0x50440c2c, 0x5cda321b, 0x05690d9b,
+    0x95130a5a, 0xb1b16188, 0x5e48f912, 0x9b6d91d7, 0x302528f7, 0x924e000c, 0x54e6a5f3, 0x46a61e7f,
+    0x5b46d200, 0x9ed2742e, 0xa5c81d67, 0xbf3c460f, 0xaa68bf44, 0xd6b95886, 0xb3d8365e, 0xaf5dafbb,
+    0x40c06bb0, 0x8f1a95ad, 0x83553f85, 0x75645e8e, 0xa2f3594d, 0xe52746ff, 0x7fc629d0, 0x58b2172b,
+    0x8ffd0bfd, 0x25213605, 0x1946e4ee, 0x4aa6f260, 0xd55c1985, 0x644fcfd7, 0x8d8fda9d, 0xf3fa9585,
+    0x929b17a2, 0x0e22a3d2, 0x1c0bb3d2, 0xcd941dab, 0x92867413, 0x4fd48bc7, 0xcbb1260c, 0x1184218c,
+    0x564aed3c, 0x7a838d60, 0xa9297095, 0x3ac3a1c6, 0xc3df77be, 0x6ead69e3, 0xf4920d6b, 0x0ec3bc02,
+    0x70056286, 0x9764648c, 0xe483b64a, 0x7c7c9668, 0xe4158e0d, 0xfe573828, 0x8e68a917, 0xa35e1b59,
+    0xae9c6081, 0x6eb5816a, 0xefc821e8, 0xd177f3ba, 0x9644ccef, 0x9690124c, 0x53999a81, 0xa4c32950,
+    0x43bed978, 0x36a3fb05, 0xd79180c7, 0xfa7ac844, 0x32457d6b, 0xc11e99a2, 0xca8506f3, 0x5c58124a,
+    0x61d04af4, 0xdbf1cf1e, 0x69c51b72, 0x983997ec, 0x7161484e, 0x49831187, 0xec52c705, 0x5b8020e8,
+    0xe5ccce4b, 0x5cdacc3d, 0x7e56ae3e, 0xc6fd810a, 0x1a25c58e, 0x23775b50, 0x4fffbfa6, 0xd194a52d,
+    0xc465dfbe, 0xb5ee7500, 0xce4b9170, 0x7cb5302f, 0x7355e9a5, 0xbe01728a, 0x6a85f6a0, 0x06a49747,
+    0xb8839da0, 0xed2dbfee, 0x8c77a895, 0xb8360542, 0xc63f23a0, 0x66f97d55, 0x422fb3aa, 0x9ff24153,
+    0xef07a1c0, 0x2cfeb408, 0xaa6443a5, 0x2d6af3d3, 0xdc18a124, 0xc4385abf, 0xf05ac3e3, 0x7ca51248,
+    0x3e1f85fb, 0x9d54413a, 0x6d2da2a3, 0xd3d6833f, 0x879e2f52, 0xd84af7cf, 0x3ffbb208, 0x611241b6,
+    0x93b209fb, 0x1d67805f, 0xcd452776, 0x348cdef1, 0x5b48500e, 0x05d24315, 0xd71f9365, 0x8fc04d44,
+    0x949770be, 0x00f19bb6, 0x1bd1ecbe, 0x9cc33ac8, 0xf2f8b384, 0x665834da, 0x0e5ccfbc, 0x22c46c6f,
+    0xf0ea2a9e, 0x16038cd6, 0xba05ada7, 0x1f448840, 0x17b0328c, 0xbd4e1831, 0xd5dc8b7f, 0x302c317c,
+    0x139761d3, 0x331a6288, 0x0729b71e, 0x700a49d9, 0x18f5f711, 0x039480a7, 0xa98dad58, 0xc2086687,
+    0x96a77dda, 0x14993369, 0xc3df95e7, 0xe66dfe95, 0x43ef69d3, 0x7c88f9d8, 0x956d0e6b, 0x410905c7,
+    0x688f32c5, 0x472c75af, 0x56020a8e, 0x0b7c515e, 0xa8775498, 0x183fee44, 0x25fa3d9e, 0x55f35363,
+    0xaf04f923, 0x951a1b78, 0x1f03c482, 0x7ebf900c, 0x3c10a314, 0x5bf653f9, 0x8c0b0185, 0x61a25140,
+    0xd35cc8d4, 0x67066f12, 0xbe30c1f9, 0xbccfbc92, 0xae53b411, 0xc70c8612, 0xad7b915a, 0x1bff6079,
+    0xfb75b608, 0xed2f4bb4, 0xfda069c7, 0x2de6ef67, 0x6045b1c4, 0xa0262bb0, 0xca9a314c, 0x9715944a,
+    0x69ee4cd6, 0x78f40c8f, 0x6c6fe321, 0xfc1ece48, 0x11913469, 0x2b957189, 0xfc283dab, 0x69de9081,
+    0x7a250ad8, 0xbb91e498, 0x8d85019a, 0x5b65bf94, 0x5fdb9dd7, 0x9119f0b8, 0x08852801, 0xa5d6f31b,
+    0xe36d79b2, 0xec5de50e, 0x6bef0c50, 0x6f684f17, 0x0f9d362e, 0x62fb9b88, 0x6ef8d18f, 0x41261389,
+    0xd1a86652, 0xf10e50c5, 0x8adab038, 0x5e576c66, 0x8a2e36fc, 0xc563b0be, 0x86c72494, 0x4ea1d1f8,
+    0x8d794f68, 0x618ed8c0, 0x1d9e1684, 0x594303fe, 0xf0fca256, 0xf9569cd1, 0xd2588011, 0x3641717b,
+    0x273a1595, 0xfaf6aa4b, 0x38ee72ab, 0xf9dba9c7, 0x4935e0b0, 0xf6c4f918, 0xe9d37b20, 0x21f3d02c,
+    0xa3d67bb7, 0xc2e2c059, 0xc6c68cea, 0x631c3793, 0x09227fff, 0x50d0c67c, 0x013751a9, 0xdf2c064d,
+    0x1cf774f8, 0x665bb62e, 0x4947766d, 0xe7a87ca8, 0xc4323007, 0xd343cf14, 0x93df8b77, 0xd90dfdf9,
+    0xc68352cf, 0x180abb6f, 0x06986f7a, 0x62407da6, 0x6a65437b, 0x61dad784, 0xe593c6e6, 0xfc30a11a,
+    0x40acaa05, 0x693070ec, 0x5036f329, 0xe6e82f7c, 0xb786fbfa, 0x169c4683, 0x427c8bf4, 0x988451d1,
+    0x152e309b, 0xafaeb8ea, 0xb1786da9, 0x4eb385d3, 0xa3d6e8d4, 0xf7305b1d, 0x0dbf4a12, 0x2cd8787a,
+    0xc7181d9a, 0x8863c3be, 0xf3230fa5, 0x98c545db, 0xf2fec3f1, 0xc6024cfe, 0x5927e69d, 0x8b7d0de7,
+    0xb13a5803, 0xb4ffb1b9, 0xd298f818, 0x353ec520, 0x0f6bbf1e, 0xbbb974fd, 0x3d4f3f58, 0x6887553b,
+    0x8d3f597b, 0xbf952129, 0xe0c80dd1, 0x54acc12f, 0x0e9f0c46, 0xac157550, 0x39fea3a2, 0xbabab626,
+    0x096bb48c, 0x5d43ad7f, 0x979cd5d8, 0xa57bd8e9, 0xa251e5c4, 0x8f6eb7c2, 0x43942dbe, 0x2eb3655f,
+    0xb962d863, 0x3ae08523, 0xd23c41d8, 0xc2763c47, 0x303cbc73, 0x7ee10907, 0xecf59e37, 0x81b85dc3,
+    0x1efd40e9, 0xc959b46b, 0x53cb1233, 0x45d949a8, 0xddfe3388, 0xb762987e, 0x851cfbdc, 0x36eef672,
+    0x435c26d7, 0x581a6902, 0x288684f7, 0x049ebea1, 0xb99effd4, 0xb4ccc7dc, 0x3b790326, 0x6ff097cf,
+    0x09e86866, 0x566fa935, 0x4ea4da4d, 0xa00b51e3, 0x5a732ff1, 0xc55f8001, 0xac3312e3, 0x7d76a9a1,
+    0x3a9d6ba6, 0xd17456ce, 0x61c0546a, 0xb77319fd, 0xd6acae4c, 0xf7e637ca, 0xf478cea6, 0xef60beae,
+    0x1cd21d3d, 0x96ae0ac7, 0x66c304e1, 0x03136dfc, 0x238fe89d, 0x02b34f90, 0xb66d70d1, 0xb5102cbc,
+    0x2259f2d5, 0x4472b1c0, 0x063f5ec0, 0x685dfe27, 0x0ebc0f79, 0xd9da66ae, 0x7967b732, 0x6b002546,
+    0x493ef8cc, 0x338dc488, 0xe78500ad, 0x860779c1, 0xaca37aba, 0xa5b94af3, 0xbbe52258, 0x48117f0e,
+    0xe8902d03, 0x86f17185, 0x630b55e6, 0xc6ab196a, 0x5711d207, 0x3831c488, 0x0314b9c4, 0x93885230,
+    0x71c9eba4, 0xfedf3a3a, 0xd65cfcaf, 0x036a8318, 0x2b6dd711, 0x8a88ef06, 0xf980249c, 0xf3fe324c,
+    0xa81a2ebb, 0x27f35f56, 0x043cbcb9, 0x10e2b1e8, 0x8c2c3ae6, 0x6f7c4765, 0x49abad9f, 0xbd006c68,
+    0x4424061f, 0x12265e36, 0x77c881d0, 0xa826004d, 0x94e39064, 0x482cfa21, 0x37a45392, 0x851c55d2,
+    0xb0203e13, 0x45ca2a8e, 0xa960abd5, 0x928e260e, 0xe69c36cb, 0xc7c3c9d8, 0x758996df, 0xd1105514,
+    0xcccd78b8, 0xfbf91d44, 0xf395a911, 0xa1cd5f23, 0x8354b025, 0x1e42fd31, 0x52d707f6, 0xd37b586e,
+    0x69601e77, 0xb988310c, 0x7951260e, 0x07568fab, 0xa23dd8dd, 0x269e1401, 0x769528a7, 0x88ec0ceb,
+    0x8810147d, 0x4fd7abe1, 0xefd67d7e, 0x0416b153, 0x5032f2f8, 0x8358e735, 0x96c1064e, 0xedd51cf8,
+    0x1fca4868, 0xed669d40, 0x24d96106, 0x4b9067c8, 0x928c26cc, 0x7a983d04, 0xfcd900f5, 0xfab72824,
+    0x8d59623b, 0x2a92d12f, 0x7890afd6, 0xad537986, 0x2e3d438b, 0xf994fd14, 0x666509e2, 0x4d89c2cf,
+    0x3df757f7, 0x73468261, 0x1f6d61b8, 0x36505cdc, 0xd87f5acd, 0xd91bf792, 0x3dfa726a, 0x481c0554,
+    0x923e03ce, 0x18249748, 0x7ee45025, 0xb9bf11ee, 0x0bc2bfd0, 0xbe77f5c9, 0x9620a1c6, 0xcc94757f,
+    0xffd364a7, 0x80a45aee, 0x2a668190, 0x878bc709, 0x08ee52e0, 0x3cfcf21f, 0x4018ce95, 0x2addf6f5,
+    0x6a535434, 0x410ee8a1, 0x95a9322e, 0x4b6f794c, 0x41fe54aa, 0x8ec3b25b, 0x9bb728db, 0xaff6e4be,
+    0xa05f886a, 0x651092c3, 0xb7f8989b, 0x823a5791, 0xe660e48c, 0x26e033a9, 0x3d0364f9, 0xfce38e7c,
+    0xa3307cc9, 0x26be54a7, 0xa76288c6, 0x0e1e86da, 0xe2ed0931, 0xc11dc0ed, 0x91ada925, 0x059b7d2d,
+    0x1f184025, 0x62d9ebfe, 0x39a1c114, 0xdb050774, 0x0b832d0b, 0x7a3434ff, 0xffa24fe1, 0x16512b43,
+    0x6fc16eb0, 0xcefe94c2, 0x18ab0e0a, 0xf033f61f, 0xc8b0bc61, 0x50d32494, 0x847630ca, 0x31a5e18b,
+    0x3e3f1c7a, 0x8b0a55ac, 0x0d859014, 0x71fa79c2, 0xe0cadcf2, 0xadbb074f, 0xb6dafebd, 0xb93e4b6b,
+    0x73bbab99, 0x5399a897, 0x9a8d6b87, 0x36950e92, 0x2becce7e, 0x7bde9032, 0x5830dbd8, 0x36231689,
+    0xc56cde4b, 0x542c85e6, 0x1b4335de, 0x186bd4ba, 0xba5ede24, 0xb442040e, 0xc4790863, 0x1864a7ef,
+    0x75affece, 0x5dc521e8, 0x4959a7c7, 0xf6a6d478, 0x15394198, 0xac422e6d, 0xba37f5f4, 0x1016b44d,
+    0x70e0df47, 0xfaae1394, 0x24816f26, 0x24c9ba9f, 0x6fd8bc04, 0x707d44db, 0x30df5215, 0xaa53c2d1,
+    0x0b319865, 0x33641ca9, 0x2577fad1, 0xb013b9e4, 0x1415e196, 0xb055f745, 0x803eb9af, 0x2206a503,
+    0x18215221, 0xf12f8495, 0xef9279e6, 0xeb366599, 0xb2969c8e, 0x4fdbc203, 0x02553401, 0xd5e103be,
+    0x06d338ac, 0xc7feccb7, 0x12970fab, 0xb13fa589, 0x324d3f11, 0x67f72de2, 0x739178c7, 0xa7abff79,
+    0x9e6ea984, 0xdad89b94, 0x2097a0ab, 0x43a3813a, 0x54acbf86, 0xd2ea1350, 0x3f640ede, 0x3f33aeb4,
+    0x78deec63, 0x162088f7, 0x66fa8ecf, 0x8b732375, 0x9219e792, 0x985f014f, 0xe90b9e52, 0xac27f69c,
+    0xdc05b550, 0x3fcec5f2, 0x4019c2c6, 0x2d402cda, 0x33fb6684, 0x457464aa, 0xe2ff6cde, 0x68e55f8e,
+    0x0c16494c, 0xda1b7961, 0xa748eabd, 0x649bbe36, 0x35d7dbf3, 0x6bd5f039, 0xe793ab1d, 0xd274dd77,
+    0xa29c7964, 0x41aef12b, 0x9561a23b, 0xc39ee427, 0xf1b64427, 0xf06d24a8, 0x20f5cd41, 0xc5f065e3,
+    0x8245e31a, 0x41c0e62f, 0xe425cf5a, 0xdc10ef3b, 0x208dd2ab, 0x648eb8ec, 0xb3f13afb, 0xa5620592,
+    0xea471851, 0x061a8872, 0xf794bc7a, 0xd14e4615, 0xbcc70f69, 0xbbd2637b, 0xef4dcba5, 0x96a875f9,
+    0x4fea1a38, 0x7d4b02e7, 0x7a55c36c, 0x73e36df5, 0xf2b74686, 0x522c7b44, 0x489544f6, 0x8959ebc6,
+    0x6e6dc606, 0x2e5ccc51, 0x347d406d, 0x613479ca, 0xfabd6ec2, 0x9506f51d, 0xada4d87f, 0x86eeff8f,
+    0xb0e72740, 0x623e68d5, 0x4a25b1e5, 0xf2b9a038, 0x0a7dfe9c, 0x63b40be6, 0xaa620fa5, 0xb4124cea,
+    0x5571c873, 0x50423f6d, 0x7e48a4dc, 0xf5e46b5d, 0xf0db430d, 0x0a7fc0d3, 0xe275bcff, 0xe7eea70c,
+    0xd6dd17e2, 0x371359a3, 0xd83afe38, 0xd22234de, 0x01afe952, 0x0f681be2, 0x22b9f500, 0xd28e0cf0,
+    0xc2d06b25, 0xd319136c, 0x577c9066, 0x1382d483, 0x7f4f1ea5, 0x2b2ccdbe, 0x6c28aa0d, 0xc8a91812,
+    0xb23a0674, 0xa0d66f25, 0x7902de3d, 0xa5736a8c, 0x5abd8072, 0x6e656b82, 0x3e99566e, 0x9317916e,
+    0xdab875f0, 0xced42f23, 0x7b7c3a06, 0x1a831c1b, 0x955030ee, 0xac42e0b3, 0xd7cc2409, 0xf4104795,
+    0x127f5860, 0x9649477e, 0xa5645827, 0x50e3ed4f, 0x819fe053, 0x3206cc04, 0xe6f86716, 0xdb23ebe5,
+    0xb917e85e, 0x356f2f09, 0xacd408d5, 0xe8379a32, 0xd05eb492, 0x44ff7086, 0x2ec45239, 0x2bd45b49,
+    0xfb7c49d0, 0x773066d2, 0x23dc380a, 0xb78a10a0, 0xe67337f3, 0x89a3d63d, 0x138707cc, 0x3d80544d,
+    0x9dcd3c5e, 0xd8ee9e04, 0x0211b204, 0x55ffe33a, 0xf1503d72, 0xdcfe00ee, 0x13d4fe90, 0xfa7e600d,
+    0x1b326268, 0x77bbc923, 0x857479b4, 0x786bd507, 0x84919811, 0xccf4977d, 0xb9d4a59d, 0x9b2166a6,
+    0x9341e46e, 0xaa5b5216, 0x4472f95b, 0x834724fa, 0xb2df3006, 0x298ad34f, 0xfc1ad2ef, 0xb4f2b5d9,
+    0xe32a9cd2, 0x99d4c7df, 0x2f12b133, 0x97e0c3af, 0x467c4f79, 0xdc2ac895, 0x70497c32, 0x892bf0c2,
+    0x45a991a8, 0xcaa9e21b, 0x38ccd142, 0xacf4ec93, 0x44877e0d, 0x353ef4d5, 0x1af3f1e9, 0x1d0cc410,
+    0x4b270998, 0x056dc1f2, 0x33b185ed, 0x93c1cff5, 0x012f7455, 0x6ff35cf9, 0xb730157a, 0xf28ba03d,
+    0x15918859, 0xb3a975ca, 0x3ddf2a70, 0x905edc9f, 0x00edcd1b, 0x8ada469c, 0xaae6b895, 0x6cde16f1,
+    0x6e68a8fe, 0xb07239a8, 0x5f183132, 0x68267c9c, 0x9ea5b63c, 0x7bd96c4e, 0x8c55741b, 0x7156a72a,
+    0xa8d377c4, 0x18e8987f, 0x559eb6b4, 0x8b27ce7d, 0x4eca5f6a, 0xadb1224c, 0xa5ade0a0, 0xa4eb1fd1,
+    0x5b59951b, 0x072c13bc, 0x528873a1, 0x0c5b720e, 0xe3809709, 0x2fc84871, 0x7e1ee280, 0xfa88a5a6,
+    0x3b273360, 0xaef0e25a, 0x623291b1, 0x8d1520bf, 0xf9d19867, 0x3a6c3379, 0x087eb06b, 0x5ef0e901,
+    0x756b5fd4, 0xf9a43e76, 0xbab543aa, 0xc8729c54, 0x0dc6ba7d, 0x92f8bc83, 0x5d9fcfa3, 0xe51fb310,
+    0x6dcd3892, 0x09f91a75, 0x64c7b7b1, 0xecc228f6, 0x80b8ca96, 0x947a5448, 0xe4d8fd7c, 0x071ac37e,
+    0x08ac77bc, 0xc495c9b9, 0xbacbfddd, 0x1ef4cbc5, 0x7f8a6257, 0xd5a6574a, 0x5fdbda39, 0x3223d4b1,
+    0x4012491c, 0x01a22117, 0x650282b6, 0xb8a16b93, 0xb7fe8885, 0xc987b6bb, 0x1f2a4002, 0x1435480b,
+    0xb7aa1220, 0xb6feb1c3, 0x15035d4b, 0xe3018c1c, 0x438d2b36, 0xc4f2a97e, 0x0abf5da9, 0xe894ba81,
+    0xd71b24c2, 0x8077e8e1, 0xf2599b6c, 0x1b71402c, 0xd9842803, 0xd1664dde, 0x4e6130e8, 0x2e76078d,
+    0xcb33fc5d, 0x69c3c69a, 0x1de3fedc, 0x9cdd7b08, 0x72d7324d, 0x2d384873, 0xacfc909d, 0x7437f436,
+    0xd9a88434, 0x1dfbfda3, 0x100e73af, 0x157209ac, 0x9107714a, 0x27b6003f, 0x06e8d392, 0xd7659d3d,
+    0xf8e9fe9e, 0xf0028bde, 0xc7c7ec42, 0xa62e027d, 0x5f3dd203, 0x53291e23, 0x8b00dfa8, 0xb2244d89,
+    0x00000000,
+    0xa0aa4e28, 0x7062e0ed, 0x7810b115, 0x3d317ccd, 0xa9bfbe8c, 0x2958b724, 0xd500e426, 0x12599349,
+    0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000751533626487626632924633790972587\
+                          84876021841565066235862633311089030688803667470190838367948312598497021919232 */
+  { 0x00000000,
+    0x1bd95108, 0xbfda2032, 0x89075a70, 0xf0b5d641, 0xd2d4f790, 0xa79b9d38, 0xb330b6b5, 0xeae41c35,
+    0x93e8192d, 0x89c77a0b, 0xb3e40494, 0xb9e73633, 0x46944303, 0x0eac6da9, 0x6cbbf044, 0x9f0a2d89,
+    0xc0b80300, 0x98a0c785, 0x4550b9c3, 0xe2de6b36, 0xee6d6595, 0x74c952c0, 0xacb22c57, 0x391e89c5,
+    0x2e65e47e, 0xd985cde5, 0xc952230e, 0xbcd00b24, 0x3c268fa5, 0x6d4370b7, 0xbb4f4a29, 0x90f5355c,
+    0xec83d7b3, 0x7e536217, 0x8ca5317d, 0x4ecd7459, 0x83093e53, 0xc9f550e2, 0xb3a62f1a, 0x56730c9b,
+    0x197fccd7, 0x8c42efc2, 0xba7d9a7e, 0x11520a79, 0x7862a843, 0x18d5afdc, 0x968d4418, 0x7226be4a,
+    0xb3207a7c, 0x9d538b83, 0xc84727e1, 0x3308dc3e, 0x796c94d0, 0xc2c619bd, 0xa1215368, 0x94760e46,
+    0x93f74f0b, 0x0921d699, 0xe446889d, 0xcf813946, 0xa3328478, 0x8daa1104, 0xa7138b16, 0xe06f309d,
+    0xedb073dc, 0xb0902ab5, 0xee7b12d4, 0xeac79e6d, 0x8e28c665, 0xcefc0ff2, 0x042ab963, 0xd7aa2a0c,
+    0x54374761, 0x27a5fbd9, 0xf63c23fe, 0x13bbfea4, 0x11bfd99d, 0x59d96e00, 0x1f6a5915, 0x9df49f19,
+    0x556f70db, 0xaf1302a6, 0x88a813d5, 0xe904c9e5, 0x50b275dd, 0x7a5f68b3, 0xc95114e7, 0x9e8c7a32,
+    0x71b3ecfd, 0xfb4bfe0d, 0xf82efbeb, 0x26bea8a1, 0x90ad2498, 0xfca70d14, 0xe7080a4c, 0xdd3dac20,
+    0xf41b3741, 0xb71d40c7, 0x118855f9, 0x0662be03, 0x457097d6, 0xc0489395, 0x161e3b5e, 0x7ecc880d,
+    0x833b0a36, 0xb6236318, 0x03f637d4, 0x84bf3977, 0xe3472df9, 0x891f9979, 0x5875df2c, 0xde1a9237,
+    0xcd096f79, 0x28f50f44, 0x3e97cdc1, 0xd7254279, 0xc2ac24bc, 0xa1af6551, 0x1a59cf1f, 0x592c37d8,
+    0x9c08225a, 0x84334240, 0x0bafeb98, 0x7256dfc8, 0x4567efb1, 0xf798995d, 0x76d1a3eb, 0x80f14bf3,
+    0xcfc071ed, 0x05667a1b, 0x50009dd5, 0x7e9cf4c4, 0xf96514ed, 0x6819de18, 0xdbe5b72f, 0x56277073,
+    0xc685d518, 0x74d3b454, 0xf14f4512, 0x4d863dcc, 0x9fe8bd3d, 0x33381d34, 0xdd7e0751, 0x01b31ddb,
+    0x3e05309e, 0x2352351f, 0x08d84aed, 0x0e3fb3ca, 0x58529a8d, 0xb2333177, 0x360ef734, 0xfb201b92,
+    0xb608a105, 0xae090e2c, 0x963072d6, 0x3e6268fd, 0x35389bbd, 0xf70de3a7, 0x90993c86, 0x80ebc5cd,
+    0x9e40a71d, 0x80ec2d67, 0x86789920, 0x340f6188, 0x3a4dbe42, 0xb1f2c54f, 0x3e6640cc, 0x075ea62b,
+    0x97d35b5e, 0x19f4b0eb, 0xc28f270a, 0xec4b684e, 0xf7e63624, 0x03b5f3ca, 0x4788551b, 0xb2085ad9,
+    0x6842e595, 0xe1b6e059, 0x3922c133, 0x762adc72, 0x6c2a2098, 0xd420d2ad, 0xa48ad524, 0xa4b98e9c,
+    0x22c434ce, 0x6667a649, 0xbf329267, 0xd9921583, 0xea071bd4, 0x8459249a, 0xe596c6b5, 0xb517401a,
+    0x67b4eb3a, 0x72777a35, 0x66dbc3b8, 0xc9e1317b, 0x512ba1b9, 0x8b04524f, 0x5ae57564, 0x89839cb9,
+    0x501e4fec, 0x62f70c39, 0x1cb0cece, 0x28ec952f, 0xac0417c1, 0x3852b8c8, 0x1aab39d5, 0xb1b999a1,
+    0xe437e94f, 0x1dd8a424, 0x639ad711, 0x31ddbdc0, 0xcec2feb6, 0x7ea13131, 0xde042cb0, 0xf91d7944,
+    0xd7deb8b5, 0x5f3f00aa, 0x21de17ba, 0xf8752534, 0xab4f74d0, 0xa22a099d, 0x95a9f1b3, 0x2f410da9,
+    0xdc32ab2d, 0xdf1b4447, 0xe3db903a, 0x614e3335, 0xcb818a37, 0x47cf2f44, 0xd433abe0, 0x609c078b,
+    0x0c180003, 0xea5f9328, 0xb217baa3, 0xaea67e3e, 0xfc476f6d, 0xeb0a271f, 0x95a8b1ec, 0x2291f68c,
+    0xaa52922b, 0xcc95db7d, 0x6960426f, 0x40b0943b, 0x41381a70, 0x7f7e1f8e, 0x74ba2cbf, 0x7e980ef6,
+    0x5d72358d, 0xda120407, 0x710d2505, 0x9ce9f2de, 0xc8822a1a, 0x54745c33, 0x8db3f86d, 0xef56aa34,
+    0xa9fde1d8, 0x3b79fd37, 0x191ccc09, 0x732856ed, 0x51b7c22d, 0x9c4a5cbd, 0x29eabbdf, 0x1121974e,
+    0x64ee6638, 0xd285e348, 0xb60e3208, 0xd8322e95, 0x4dd20f35, 0x4ccb31c6, 0x07dfdfce, 0xc53eea2c,
+    0x05ac9814, 0x28c346bd, 0x6118c61b, 0x41ec2b8f, 0x28fc4a05, 0x74a13168, 0xc5b0f3b9, 0xa9f3f63e,
+    0x0a5487f6, 0xb52f541e, 0x438f150f, 0xa23e05a0, 0x2fe29938, 0x7c5ac677, 0x87d3ce1d, 0x889cddbc,
+    0xecf8f826, 0xb7ed56b7, 0x23a71c95, 0xb58bcbd7, 0x0f78a30c, 0x1e338dc7, 0x95a721f1, 0x17c666eb,
+    0xde51ee3a, 0xfab22539, 0x06720bff, 0xfb0a8366, 0xcf86c7ca, 0x0477289e, 0xc9074302, 0x8677e9c2,
+    0x520b21ec, 0x43b7aa19, 0xd9430266, 0x6b9c224c, 0x28caa8ad, 0xfdc49d67, 0x377e34b1, 0x8f4d776d,
+    0x682f8816, 0x4306ce13, 0xa848eb70, 0xe2959be0, 0xd10a614b, 0x2ee5594c, 0x66a011b9, 0x7c418226,
+    0xf8b3fcfc, 0x24b8395a, 0x6f2a141f, 0xb398f881, 0x106e67c9, 0x5fe3b415, 0x1ad8ab0b, 0x3b2ddaef,
+    0x21e1af48, 0xb8c38d6c, 0xd55c37dc, 0xe4b93814, 0xfac341da, 0xf6d31057, 0x21169fe2, 0x74659abb,
+    0x07aebef6, 0x5c9c2551, 0xbc3c29a0, 0x31937905, 0xd9bc2760, 0x947bbab2, 0x148e3024, 0xb07afebc,
+    0xc674eb16, 0xd09b505d, 0x2cdac1ce, 0xcb30e022, 0xe656b6bb, 0xecc6967c, 0x552bd9ad, 0xf0fde158,
+    0x847f76fa, 0xc5c92321, 0x924e0070, 0x70ed13ef, 0x81e2706b, 0xdba57414, 0x62d24754, 0xae11ef42,
+    0xbc1ec61b, 0x2aef1d28, 0xf2bd4e42, 0xa3252ac0, 0x0d959620, 0x93f998f2, 0x49a5b48d, 0x6a38e9a7,
+    0xf59af8cc, 0xc4026e76, 0xb7764b41, 0xc5cd9159, 0xb6064b5b, 0x0e808d4f, 0x3b692b66, 0x7008adaf,
+    0x0820cd32, 0x3e14d64b, 0x7a8b26a2, 0xab7640df, 0xb9d12bad, 0xbd6d3a05, 0x30eab31f, 0x8b4866fc,
+    0xb60332a6, 0xf1838fd2, 0x19146786, 0x0abba929, 0xdece8cac, 0x4552f3f1, 0xdee972ec, 0xd3d552a6,
+    0xb4b573f6, 0x7e10a614, 0x364317b6, 0x7e087452, 0xe073cc3b, 0x66f8cfcc, 0xce404001, 0x753452ea,
+    0xfde949a5, 0xd1baee1d, 0xadfa404d, 0xaf9517eb, 0x85244aa2, 0xf802b140, 0x9acb5a80, 0x0a3e66e5,
+    0x326675d5, 0x9ac4b06b, 0xd37cfaec, 0xa5e897a1, 0x375fe787, 0xbccec03d, 0x815d69c9, 0xa2f094a5,
+    0x5021d845, 0x9997986e, 0x2069e55a, 0x48cb4f07, 0xf595750e, 0x2841fcaf, 0x06572fbd, 0xabc36a80,
+    0xf8a25bb4, 0xdeecf572, 0x8f4cb799, 0xb95338d8, 0x94392c89, 0xf2559467, 0xaa9ab2f3, 0xdb21ce00,
+    0x5e9df0ee, 0x981e5d6c, 0xf0807038, 0xac81a33a, 0xe5394e72, 0xe8ea13da, 0x8799aa2a, 0xa94723aa,
+    0x093f6db2, 0x98df09af, 0x3934d917, 0x1e92ed92, 0xf89acd00, 0x2981a736, 0xf398fa2b, 0x1a1e98bf,
+    0x6ee5332c, 0xf23ea1fa, 0x4294f8d1, 0x77d51aa9, 0x9f069602, 0x6a0babf4, 0x44395f3d, 0xe6c7079f,
+    0x3aa31247, 0xed5a346c, 0x756fc7d7, 0xea6ec14a, 0x7211fd5f, 0x0764e8bd, 0x7182fb6e, 0xcbb30f72,
+    0x64c0200c, 0xd165ed36, 0x4d17ac96, 0x3d14b481, 0xd8cbe021, 0xa43cf37d, 0x61991429, 0x07bc60c6,
+    0x3cd18f15, 0x45a2323e, 0xefef54ac, 0x174140e8, 0x9430fd2f, 0x0a3b4987, 0x08b4fed8, 0x036b6632,
+    0x9bf290d8, 0x67da613e, 0xb3e64e50, 0xd483cbe7, 0xa7cce7c3, 0xcc135139, 0xe107d1a2, 0x9b31972b,
+    0x11bf309d, 0xf18a4a5e, 0x166048ee, 0x3220946e, 0xea9d6f7d, 0x5ce03957, 0x40ec1190, 0xd410ef87,
+    0x3c852c54, 0xb3c93c07, 0x2e218bd3, 0x3e322263, 0x6fea890e, 0x78dc0ec4, 0xbe24616c, 0x3f3ba78a,
+    0x4ac37e77, 0xa05f27fc, 0x65ff3a06, 0xd4767c4d, 0x79eadb7b, 0xbf6362ed, 0x34952008, 0xc2b9e9dc,
+    0x3a6095a2, 0xc22e0747, 0x652b5c2f, 0x90589ceb, 0x794f373c, 0x067cba92, 0xacd4894d, 0x35c2013c,
+    0x1ab77111, 0xb8903c42, 0x458609a4, 0x3d745c27, 0x08e9900a, 0xf029f325, 0xcd7a1a97, 0x56c840ab,
+    0x3b253ed6, 0x556cd2da, 0x33cfc7ea, 0x41536f3a, 0x61295ba2, 0xf800e952, 0x099b3388, 0x03f9e871,
+    0xf4fc6f74, 0xafed2180, 0x6fbe7dd6, 0x89fade46, 0x35672874, 0x92cbe896, 0x56a291d4, 0x65878efd,
+    0x9b5d5cf0, 0x60d50d32, 0x100069dc, 0x7109abc6, 0x01d19721, 0x6cb4f811, 0x6fcc7be3, 0x1663ccfc,
+    0xb9b01aa1, 0xaa837bff, 0xb0593c17, 0x57b34230, 0xfdc5ebdd, 0xd396fd39, 0x605e1c7c, 0x482c79f9,
+    0xfdf79fd7, 0xb5a4ef5f, 0x5d16623a, 0x809cafd8, 0x04e10e85, 0xbb19f9a4, 0x412c64da, 0x0786cbd6,
+    0x2cacdc56, 0x3dba14db, 0xffa5e4c3, 0xe162fe95, 0x3e890ec3, 0x27ec27fc, 0x5b737747, 0x8cddae1d,
+    0x25ccccdb, 0x6e2643e7, 0x9b89a643, 0xf4f4b537, 0x6778e720, 0x95b78908, 0xa4b9fa57, 0xd2362f7a,
+    0xce223546, 0x020cfb12, 0x711fc5d1, 0xf81be5df, 0xe57e5098, 0x57771874, 0xbb735beb, 0x74098cd6,
+    0x8b13e8af, 0x50873297, 0x3196beee, 0xc9d76bbe, 0x86022627, 0x5457d5bd, 0x6eab1fa0, 0xab837f2e,
+    0x7d9ff421, 0xd99a4683, 0x3d6c284a, 0x77dabb6f, 0xfaa47f4c, 0x630e1d01, 0x0f1c0291, 0x7a5e829d,
+    0x94683883, 0x30b9a4cd, 0x1ff12d79, 0xb9138a7c, 0x2de123c5, 0x690f8b45, 0x4f70ed57, 0x96a176f2,
+    0x48104269, 0x6babf6b0, 0x62234cd0, 0x6f91f61b, 0x3710975b, 0xa045aeb1, 0x216a92de, 0xf510332e,
+    0xe90d671c, 0xd8d94090, 0xa0e4e2fe, 0x0efa24fc, 0x967defd6, 0x3d790b55, 0xa5851f94, 0x9fb7d27d,
+    0x25624325, 0x6b66c1fa, 0x99e5c98d, 0x151d5e88, 0x72850b44, 0xd3c03c5c, 0x2b46b120, 0xc5975b20,
+    0x4e3fea68, 0x52c7d0bc, 0xb0dd8943, 0x96411b21, 0x9b5dca45, 0x5d0126d2, 0xd94d4b71, 0xdafb246b,
+    0x25670af6, 0xee66ed87, 0x6a50ec81, 0x48dc04b9, 0x54f952b0, 0x56b1c76e, 0xfba2518d, 0xfaf1397a,
+    0x262b95f0, 0x381498a8, 0x92ac1a00, 0x84ae661f, 0x35bc3570, 0xa72e3335, 0x836c7398, 0x8cf358c8,
+    0xccb56fce, 0x92f5ad9a, 0xe4535aad, 0xb46daed9, 0x27a4e8cf, 0x3af8248f, 0xcd809c7f, 0x80018ba7,
+    0xf2f4984c, 0xf6fc0e94, 0xec1463db, 0xf11535cb, 0x88dad22d, 0x82ae4e33, 0xb8fb31a0, 0xf4579434,
+    0xa48acb61, 0xac2b7529, 0x316ff5ad, 0x163daddb, 0x51f6811f, 0x32b68ab0, 0xd52ade36, 0x79d8d744,
+    0xefb8a496, 0x6385fffd, 0x2d2ca261, 0x9a773afe, 0x950fe507, 0xe858ec61, 0x25de3e15, 0x8cfa5e0f,
+    0x9c70a5b5, 0x5ef90810, 0x113c93c5, 0xf1a15655, 0x7c6a3081, 0x40505df1, 0x6f3e35ca, 0xf1bb8398,
+    0xb0dc51ff, 0xb0c063d5, 0xd1944bc5, 0x31526cac, 0x68ce788c, 0x6a604d43, 0xd90230eb, 0xb5a97fcd,
+    0x58c4e49d, 0xd7d850d5, 0x19751954, 0x08d0262d, 0x29cdf6d8, 0xed8d28a1, 0xf1506a67, 0x4846ca63,
+    0xd01f3b04, 0x49032199, 0x195c6719, 0xe431c832, 0xc12e8c5f, 0xf5cf0102, 0xef74bc56, 0x33ecac45,
+    0x9cdd6f41, 0x62e65f70, 0x83cb0fc7, 0xda1af52b, 0x548705b8, 0x13725450, 0x4d55eb4a, 0x77ddde42,
+    0x1816c348, 0x16088a7e, 0xd8605ee9, 0xd15bacae, 0x52e41bf7, 0x0c0cb89a, 0x61315620, 0x688adfd6,
+    0xcad66277, 0x8ad0c17b, 0x6c59d71e, 0xa616d4bb, 0x5a59dfcb, 0x605aca2c, 0xe78ffceb, 0x2aa78d87,
+    0xdb91da92, 0x4d660797, 0x1f9e0c5f, 0x67e5bc24, 0x46597fb5, 0x70450e56, 0x191cd3ac, 0x96e76dbe,
+    0xe6399315, 0x4170be6c, 0x18bee52d, 0xc2a704d8, 0x736e91c8, 0xa8f7c46c, 0xfc10c036, 0xbb8f2574,
+    0x0014139e, 0x251a7d96, 0xfc746592, 0x7929970d, 0x14e8f281, 0xfab20512, 0xaf06bfe8, 0x2e1ff53d,
+    0xceaf8969, 0xa23fd86d, 0x238ef3c2, 0xbdef1e8a, 0x7f9a9cfa, 0x790a7603, 0xda038fbf, 0xce1cd285,
+    0x39f4e5c5, 0x59fda18e, 0x9737d319, 0x66fbd396, 0x3cdfac77, 0xb732b70c, 0x6121524f, 0x2e3124e5,
+    0x0ad32bda, 0x31c858b5, 0x22256f7a, 0x65cd1a2b, 0x9e11fd0c, 0xb6b3dc4a, 0x9e533c46, 0x733924cb,
+    0x6c2120ce, 0x8c65bee7, 0xb4e0399c, 0xf82781d5, 0xda82885c, 0xe2c00983, 0x4d268a91, 0x374830f7,
+    0x781b193e, 0x629edbe9, 0xf1d4342c, 0x5a54c590, 0xeec382fe, 0xf58ca204, 0xc763b02a, 0xa897b5f0,
+    0x8a238a47, 0xf01098bd, 0x570ac75a, 0x7094e371, 0x691dd9a4, 0x0f411e9e, 0xd65131ff, 0x37a3a5c3,
+    0xf24a2be6, 0x2007fbac, 0x143ee523, 0x69e5dab2, 0xee789a58, 0x2128728a, 0x81194e7e, 0x361798a9,
+    0xd71dd7a1, 0xd3788882, 0x8f7c4c2e, 0xa19533ee, 0x7cf88330, 0x0e1e01ea, 0xc885880f, 0x9be73fb1,
+    0x69f0b124, 0x4b136997, 0x1b099abb, 0xb76a8a90, 0x0de5b2ef, 0x1954c164, 0xcaf7ab20, 0x1ba52129,
+    0x3158440a, 0x113b57b2, 0x52f0dd36, 0x78ce069e, 0xac61f01e, 0xda5be441, 0xd5a56736, 0x62aeaee6,
+    0x78a15182, 0xe57f1f73, 0x90e000d1, 0x08f00733, 0x6cbc7629, 0x41493206, 0x8c72157d, 0x0d0e45a1,
+    0xee24b307, 0xdf618cc1, 0xffbe3524, 0xb3e6b69c, 0xa7ed198f, 0x1cdbf135, 0x3836f66b, 0xe0a56e03,
+    0xdbb7e419, 0x08de6161, 0x6134c178, 0x78a702d8, 0x005eaaba, 0xf8e63ecc, 0x76fc5308, 0xb2b1c9be,
+    0xd50e0d1a, 0x06c260a8, 0xa27847ad, 0x098e5f99, 0x24a20e13, 0x443e224d, 0xa38a0dcd, 0x65f2a7b2,
+    0xc91a0c97, 0xbdf39af6, 0x48e2463e, 0xc54e08c6, 0x9408984f, 0xf8b15fe2, 0xa7e9ea45, 0x9c4d21f5,
+    0x0fdad271, 0x6502ae2e, 0xac9c789b, 0xe81c97f5, 0x294f6f35, 0x11cfc191, 0x258e9ac5, 0x6a357c76,
+    0x22e03cff, 0x203a5444, 0x9050addf, 0x8649f9aa, 0xec49fee5, 0x90658a82, 0x46842746, 0xd2a80cef,
+    0x3695d285, 0x647a5bf4, 0x4ed41cb7, 0x365d48ad, 0x336bec41, 0x41a0d2bc, 0x08ba0037, 0xd9a4e07d,
+    0x154ff6bf, 0xa23f9928, 0x5fab3e25, 0x380b7582, 0xba387e38, 0xcef65d60, 0xae49067e, 0x8729e310,
+    0xc1bb3f9b, 0x9442f2ba, 0x2b852474, 0x6409fea2, 0xfdd97550, 0x0bb4837f, 0xcf4b1bc3, 0x0a58b83c,
+    0x7ac6d32c, 0x5313a542, 0x81c71546, 0x2ca17cee, 0x1d8c7b94, 0x31d45ac1, 0xd264d610, 0xb88866a2,
+    0x74b0e636, 0xdcafeb16, 0x6f4dc2af, 0xceab3f70, 0x5c28b4b9, 0xe1006c49, 0x9b056379, 0x8893385e,
+    0x1402e388, 0xe11b39ed, 0xb365c79f, 0x57c6b4b4, 0x1fcd616d, 0x4bcb828b, 0x6a7179b4, 0x90bc675c,
+    0x16c6833f, 0x3a2cf7dc, 0x098e495b, 0xd4f4a6e8, 0x4344ec81, 0x1cbfcd07, 0x89ccbf38, 0xdc7cae19,
+    0x32337105, 0xcafd9171, 0x206eb06e, 0x08990e78, 0x541b6b03, 0x5caa3c1a, 0x291ab7bd, 0x3a88074a,
+    0x53ca7ac6, 0x58ad2b72, 0x06a1f02c, 0x8ef50db0, 0x8066aea6, 0x4c2fe08f, 0x1cfcf03a, 0xe5b85312,
+    0x3939b9b1, 0xb0d1f962, 0x1314f3b7, 0x84aed284, 0x6c5db6c4, 0xde597de4, 0xc393c7d3, 0x5612cd74,
+    0x147b49c9, 0x598afcdd, 0x9cb6f8e2, 0xe856bf12, 0x429b05aa, 0xfc51a1b7, 0x817d8dce, 0x58d9f705,
+    0xdff849a2, 0x7cbfbcbb, 0x437ff610, 0xb6625812, 0xdcb805ae, 0x45042f17, 0xd06cd4c9, 0xd58d3844,
+    0x00000000,
+    0xd0552713, 0xb8317076, 0xbc08588a, 0x1e98be66, 0x54dfdf46, 0x14ac5b92, 0xea807213, 0x092cc9a4,
+    0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000375766813243813316462316895486293\
+                          92438010920782533117931316655544515344401833735095419183974156299248510959616 */
+  { 0x00000000,
+    0xdd9962e1, 0x503c815c, 0x2dad187f, 0x54ca5937, 0x8e99e17a, 0x704a4862, 0xe8820057, 0x8b7844c3,
+    0x6cd0dc79, 0x14d5bdc3, 0x4b20f3e4, 0xefe508f3, 0x5f542112, 0x351e98a8, 0xee243923, 0x26152b8f,
+    0xd0d4d5f0, 0xb398ca94, 0x8191b6ad, 0xf1c1cf1f, 0xe13a1585, 0xc1ac7940, 0x2c3c931d, 0xb53872ce,
+    0xcb50535b, 0xe8b2a3fb, 0xe28112ad, 0x12678bf3, 0x1bcc59c7, 0x1c1af48e, 0x8595f328, 0x8e5a9b57,
+    0x52b445e0, 0x1b4b7a2d, 0xc4aaa685, 0x9d0612ae, 0x872d44ef, 0x62cd4ddb, 0x7d355eec, 0x9b652f12,
+    0xd49df438, 0xb064c9d4, 0x49d860f3, 0x75625d60, 0x101cb327, 0xa208f44a, 0x92586bfc, 0xefd96d9a,
+    0x8e2b0e9c, 0xae751608, 0x538df3c8, 0xece817dc, 0xb82cd102, 0x24392af3, 0x9549e0a3, 0x6948d848,
+    0x974f04fe, 0x41e15617, 0x9ff21407, 0xd082c02a, 0x0c3011d9, 0x62c57cc7, 0x11d5cf80, 0xab4d209a,
+    0x9605626f, 0x70646753, 0x0e9aee01, 0x75d3f570, 0x4f757bb7, 0x6ae26e98, 0x033781a1, 0x43d618e1,
+    0xb4bd41eb, 0xf205b2b7, 0x4c57d761, 0xb9854278, 0x8b961e78, 0x3a06f329, 0x949e9729, 0xea945ee1,
+    0x8ca3652d, 0x287d1996, 0x0aeea2cd, 0x99deb1cf, 0x29caf8bd, 0xf8aa4bb6, 0x5a3031af, 0xadd7a31b,
+    0x13761ce0, 0xfc7a4a7f, 0x5304ad2f, 0x90b8c38b, 0xae6af679, 0x15660f6e, 0x80b29d42, 0x1672a5ac,
+    0xc868af3b, 0x78441ab7, 0x76971c21, 0xa3a943fe, 0xfafaf155, 0xca3a58c2, 0x533f3227, 0x7c41dd9e,
+    0xfa148983, 0x0445eeb6, 0x1904f93b, 0xeee895a6, 0xada00a9b, 0x3260da90, 0x1b9ab16e, 0x467d0e6e,
+    0xa3ffb9c1, 0x416d9b06, 0x212894aa, 0x2257ff95, 0x812e99ff, 0x3e85f860, 0x1d7e396a, 0xb3a014b4,
+    0xd3437cb3, 0x4c546142, 0xc873a5c8, 0x8a4754aa, 0x6d006824, 0xe133e7a0, 0x146d7710, 0xbd57f3f1,
+    0xaedb4dcc, 0xaa70cfa9, 0x2f60c013, 0xdaa160b0, 0x4cd149fc, 0xf282af24, 0xfe6ed8a4, 0x35ca0a2b,
+    0x4616e763, 0x24dfbe11, 0x660d1871, 0x4584c686, 0x103f3658, 0x7e7b7a0e, 0x82c8cc6b, 0x819ddf84,
+    0x0da35ab9, 0xab452d4c, 0x3f41e4ce, 0x8369a62e, 0x0f7954dd, 0x9fdfd86f, 0x8609a42a, 0x30e2efad,
+    0xe0165e0a, 0x755768d7, 0x9409c05d, 0xb2c0cc4f, 0x4d365d14, 0xb2a6ea73, 0x95e05da6, 0xfca593a4,
+    0x545cf394, 0xaf6216ac, 0x0080a268, 0x9f1e39f5, 0x28fa1449, 0x2d59f0a9, 0x8901aa31, 0xbdf3e2b7,
+    0xd9dc901a, 0x85514a8d, 0x4a347b52, 0x12a74be1, 0xabb4e9cc, 0x172cb909, 0x58031897, 0x8b2db9d5,
+    0xe44b3b15, 0x42f91323, 0x783dfc12, 0xaa4fcdb8, 0xaa679a87, 0x63bb51ed, 0x531e0249, 0xcaf29840,
+    0xb2cc3f0b, 0xc0a528e8, 0x1c2014a5, 0xa163ef44, 0x7150fa92, 0x990cbfa0, 0xc468b7c3, 0x2b28503b,
+    0xd074ec90, 0x27485018, 0x45410fe1, 0x1c113383, 0x6a67db0c, 0x9860c266, 0xc6a21dce, 0xa4451d33,
+    0xb293ecea, 0xc6e110ab, 0xf6283f8d, 0x268efcc9, 0x9ff69f1e, 0x2ca5df0d, 0xee013c6a, 0x385434e5,
+    0x5737224f, 0xb38afb1b, 0x1af8634a, 0xd1e26531, 0x79b61c86, 0x303455de, 0xedca8ef0, 0x500bab8d,
+    0x4b423d3e, 0xbb724874, 0xf5f14733, 0x857fa5a0, 0xc1f9b59b, 0x38f8b6fa, 0xb5d2bc04, 0x9b51ee1f,
+    0x8ebf3911, 0xed5cda82, 0x18ebd583, 0xf6bb9c20, 0x1aa0421a, 0x2bd9f2fa, 0xcdf5dbd2, 0x9c7fbe29,
+    0x2c4e2142, 0x67afeccf, 0x961c3fcb, 0xbf5db995, 0x06313e02, 0xef7ea2fc, 0x01b14a04, 0xe703741e,
+    0x26db104d, 0xacd5e6a2, 0x00a7ee4c, 0x459bf4d2, 0x0606a4a8, 0x676f9100, 0xa3732879, 0xe586210d,
+    0xec8bbcbb, 0x83555273, 0x3dd8aa8e, 0xde4f8c5f, 0xd6e6d113, 0xbf296b4b, 0x5db2a080, 0x980b30bf,
+    0x604279c8, 0x4eb3608d, 0x96b34875, 0xab151483, 0x12465201, 0x6159ae44, 0x968894f8, 0xb8709d4c,
+    0x36778c41, 0xeb8a08ff, 0x195003b8, 0x1bfc1b13, 0x7318dc17, 0x6a215618, 0x2b2b6e0c, 0xb55a0065,
+    0xf528b5b1, 0x3cd04cf3, 0x04f13f36, 0x18b1fbca, 0x2dc09ee4, 0x81a3dc0f, 0x67479867, 0xdcf0ebb3,
+    0xe5421d28, 0x22e0055b, 0xd4fa7162, 0x64096a5f, 0x15a1ea45, 0xb3db1460, 0x8873f49f, 0x8ca416d3,
+    0x70274dfb, 0x82a58a54, 0xcd3fad0e, 0xa47aa37d, 0x7ad36707, 0x00822b8b, 0x52143ba9, 0xec806e21,
+    0x349f5768, 0x6e65414a, 0x853dcc5d, 0x015dd65a, 0xb06d3b29, 0x344d0a0f, 0xcad68b4e, 0x8a8661c6,
+    0x1a109b2f, 0x77502960, 0xc73fa68a, 0x007aef23, 0x3ac7277b, 0xe31b2066, 0x76887622, 0x50a2cc57,
+    0xb5083b1d, 0xd01ac718, 0xd23773c3, 0xfc411f69, 0xb5937034, 0x142061e5, 0x01d987df, 0xbaee4192,
+    0x8fd9f0a3, 0xe96b6543, 0x943a4573, 0x8b226be8, 0x67b213f0, 0x8b666b17, 0x77ddbbf0, 0x250c9d61,
+    0x55095800, 0x6b66abdd, 0x53cad74f, 0x903049a2, 0xa061a2ca, 0xfc026ddd, 0xf439b84c, 0x3c662a5e,
+    0xf7a7a7cd, 0x4fcfa12e, 0x9f379e2e, 0x56785b71, 0xd2c2638c, 0x9b6dffde, 0xba3cb64b, 0x0da08f79,
+    0x7003d51b, 0x60984748, 0x803f9c29, 0x7b851ea2, 0x1a69ed76, 0xc695ddf9, 0x446025fc, 0xb5a77090,
+    0x4dfa7ac5, 0x5571efce, 0xe5833348, 0xc4140157, 0xe838d43a, 0x1eb7b8fb, 0xf8c13b0c, 0xf5209145,
+    0x4c210c4d, 0x33b143e3, 0x53079b6d, 0x2f9b2ff2, 0x629097ef, 0x16da4aba, 0xd6cf441b, 0xa64085d0,
+    0xe6eb98ff, 0xc70ef9b2, 0x44778360, 0x94026504, 0x66f435d7, 0xb9e25eab, 0x8fc0aa73, 0xefa6880b,
+    0xbb5e918c, 0xf28a7c9f, 0x30f1edea, 0xf97e72cf, 0xe05334f8, 0xe41f320f, 0x533a6c4d, 0x8945820a,
+    0x4cb1dd96, 0x3b9a85d1, 0xce00f6d2, 0x46afd489, 0x913a894c, 0x230ca011, 0x3a7c9dc5, 0x9b09211a,
+    0x31f63628, 0x1c045eb6, 0x60c888a3, 0xfa14014b, 0xa5716187, 0x57c2222f, 0x874b38b4, 0xd3b92653,
+    0xe5b630b8, 0xce662db9, 0xf4a86ae1, 0xe35cd8af, 0x3d6f509d, 0xafe86bd3, 0xab0e2c11, 0x99e8e10b,
+    0x0ba47fd8, 0x38c60a4d, 0x1f27925a, 0x7a03ccd4, 0x397d1311, 0x1e07a7f6, 0x264d2801, 0x3c9a620c,
+    0xc7a4bafa, 0xddf0d8e0, 0x65201fdf, 0x01909476, 0xbdce2468, 0xfa637d6d, 0xd7c27274, 0x873acbf2,
+    0xa53211d8, 0xecc22bd3, 0x80445240, 0x6b027c6f, 0xbc9d0062, 0x2830ec7f, 0xdece2fc3, 0xdaafc65c,
+    0xcb199b0d, 0x8d5c1963, 0x96dd55a7, 0x3eddaa51, 0x3e440142, 0x1a290205, 0xe08da655, 0xe8db0c83,
+    0x81ceaa86, 0x8960c707, 0xff3692df, 0xceef3d59, 0x03a313dd, 0x5f38705b, 0xb5a0dbfb, 0x4702b49e,
+    0xa1c072de, 0xe302efc1, 0xc64bf53d, 0x6d332209, 0x5628cf2e, 0xeab99ec6, 0xd4e30eda, 0x506b34bd,
+    0x56225d0a, 0x5a471c43, 0x29d4148d, 0xaaa25204, 0x1e6507b5, 0x523306dc, 0xcc6b63cd, 0xc4a58cb1,
+    0x46f88299, 0x49e83cc7, 0x046bda4e, 0xbf5915cf, 0x7fa69c74, 0x1589c0e1, 0x0cfc760d, 0xbbd637aa,
+    0xf64ae2a1, 0x10145a46, 0x4bc8c5c1, 0xa620226f, 0x1daaddaa, 0x3b1a8b35, 0x7d4f88e0, 0x0c56b0e8,
+    0x1093dc21, 0x6d66d1ef, 0xe69801e2, 0xb2375c8c, 0x6948ddc0, 0xc7477306, 0x84f2844a, 0x34b3c37a,
+    0x0fe138c3, 0x4ad125f3, 0xd7df7841, 0x94f5837c, 0x4fe01bd8, 0x391b6f0b, 0x7cbbd977, 0x734981b7,
+    0xf414c436, 0x7b98b891, 0xf0fe4dc7, 0x3c554046, 0x0a5ac396, 0x340211a0, 0x6dba5d67, 0xc2418d37,
+    0x4f3574b7, 0xf9da874f, 0xabe080df, 0x0ca2ba53, 0xa420f505, 0x575320eb, 0xd90ddf66, 0x3959662a,
+    0xa9f5aaa6, 0xc07de9b9, 0xe95e4686, 0xb12232e3, 0x9c2b002e, 0xcacc9336, 0x4eb092ee, 0xcd26c21d,
+    0xc6732753, 0xe4a0f226, 0x09fe9a55, 0x5bbb880e, 0x7c390ddc, 0xb3db9471, 0x2f1bbf52, 0xfbca0aee,
+    0x352becb4, 0xd96f1939, 0x895e34b5, 0x21028029, 0xd0555d98, 0x0f549e2c, 0x0d874ad5, 0xee879f8d,
+    0x01f3447b, 0x0e5a2f5d, 0x059d8962, 0x4572ec46, 0xe1cac476, 0x9d1c1df9, 0x25e730a8, 0x16c43e62,
+    0xdbc1db0e, 0xd21c1f1f, 0x185585e8, 0x63b8c3c7, 0xd5ee9dc1, 0x71b04bae, 0x0587ac40, 0xd7d656c2,
+    0x70ce5337, 0x6dac6018, 0x5ba2c107, 0x6a09abd5, 0x4f46a618, 0x4db4660b, 0x1525537a, 0x46fe34bb,
+    0x54eae40a, 0x2971d400, 0xae7c887d, 0x74dce323, 0x1101b214, 0x9bff0196, 0xaef953ce, 0x46cdc4dd,
+    0x105328f2, 0xc1f5dda9, 0xf7d67ef1, 0xa50ec469, 0x9ff68bcc, 0x9b159d37, 0x1cd0ac0a, 0xdacc1c3f,
+    0xf8db8324, 0xab1e3ad6, 0xa0abd7af, 0xe56a10e4, 0x5bc4070e, 0x81765875, 0x0a2cdab6, 0xae66fd83,
+    0x7aa9f7af, 0x5fe301f9, 0x4abfc9d5, 0xdafcdff8, 0x9c8c0416, 0x510f4d42, 0x4b5a821b, 0x3ea38b41,
+    0x72e53bea, 0x54edcda3, 0x0be6ec45, 0x5185e054, 0x7c21d1c5, 0x6db90729, 0x3b9077a2, 0xee0a87d4,
+    0xc62b61c8, 0xb3e898cd, 0x8eadfd72, 0xc1da90b9, 0x56be1c07, 0xab47edd1, 0x2abf96c6, 0x02559b8e,
+    0x640ba983, 0xa2549186, 0xa7808c94, 0xd6e1c63d, 0x527d798a, 0x60f6f7f8, 0x47005bee, 0x20e9e63c,
+    0xd486829d, 0xfddb62f6, 0xd5b69b66, 0x65f8f137, 0x6412d95e, 0xd9588c1c, 0x684025ea, 0xe78609c7,
+    0xd72694c3, 0xe5eeac70, 0x37c977f2, 0xabc639fd, 0x2940d038, 0x318e06ee, 0xe73ca0eb, 0x6085126b,
+    0x2851c40b, 0xf0d7432a, 0x2be00c38, 0x09cdf97d, 0xb8f7fe82, 0xc967fc74, 0x34272207, 0x90094318,
+    0x7c9ed7ff, 0xe3237265, 0x3db7a620, 0x14a7b14b, 0x98647bc9, 0xa57930db, 0x587221d4, 0x7606410b,
+    0x1acc45f6, 0x65a6cfaf, 0xa04783cc, 0xf94fbaa1, 0x36247116, 0xf9c8bb5d, 0xb4602119, 0x780acbca,
+    0x880794d7, 0xd21c0f3d, 0x3430389c, 0x1050ea40, 0x4ac6441e, 0x6332bcb7, 0x2a2eede6, 0xfc5863ff,
+    0x82da2578, 0x423fcaee, 0x72321fbc, 0x6f354be0, 0x281491d6, 0x942bc870, 0x0c9e324f, 0xfd816a19,
+    0x5369caa5, 0xe2e063bc, 0x2fae135b, 0x108ebd6a, 0xa8936ee3, 0x91676910, 0x2e8503d5, 0xeaf35f41,
+    0x0b07ec1e, 0xc6edaeb3, 0x56a4e917, 0xb1c06831, 0x5f2a894f, 0xd67a678a, 0x726420f4, 0xd3aef247,
+    0xf3265e28, 0x5f877361, 0xcec34b93, 0x44845d56, 0xfbd0c2ed, 0xfe614a47, 0xd9ee4609, 0x7f074b5e,
+    0x82cc6ca2, 0x56362baa, 0xb6785738, 0xd2208ab2, 0x83381ca6, 0x6ebdc636, 0x4ebf9391, 0x29e4ad1d,
+    0xf65f87ca, 0xe720e249, 0xfcb9348c, 0x3297c5ce, 0x563c50c4, 0x3fffe036, 0xb7c1b043, 0xca60e9f8,
+    0xa8997aac, 0xe91bbb7b, 0xa5bfabf3, 0xd2bcd9e8, 0x26401dd8, 0xebe3d74f, 0xac378f57, 0x56d4f9af,
+    0x08bc04fa, 0x938b7672, 0x423d6f6f, 0x3c7a9192, 0xbaf39ecc, 0x96196260, 0x3a859764, 0xaccefda0,
+    0x2a71c53d, 0x52b3da3f, 0xac877ee7, 0x1c116bc6, 0x86d109fa, 0xaa4a6684, 0xb7efcaba, 0xe6a3c1b6,
+    0x6ac374f1, 0xd20691e5, 0x643f2d72, 0xc666c4cf, 0xa8d36d02, 0x1a7453bd, 0x1ef55895, 0x3c147640,
+    0x7a3e097a, 0x1beca18c, 0x6e0f8650, 0x4acfacb5, 0xeb80f809, 0xe03e68bb, 0x5bcca137, 0x316c8adf,
+    0xcecb97aa, 0x0e455b52, 0xaad55662, 0xb5650843, 0x71e873d7, 0x0ea10b26, 0x807e805d, 0x1a954f55,
+    0x2e4ba02d, 0x9e425cb1, 0x0fa6f304, 0x3edbf91d, 0x4dab8519, 0xfbf2edc3, 0xc7c73b3f, 0xa22f035c,
+    0x25846e67, 0xa94a64f3, 0xdaee1320, 0x5ebf0c87, 0x7d632f05, 0xf23309a7, 0xfd7d48a4, 0x51678338,
+    0xdf227b78, 0x670eb93c, 0xfaff084b, 0x9c770473, 0x9811222e, 0xce003cfb, 0xe1c62336, 0xc9783418,
+    0xfec47bc9, 0x8fa94049, 0x72c43725, 0xf0b43a5a, 0xdb5bbb00, 0xdb9e463a, 0xc313eb8e, 0x891b38ea,
+    0xc5f4f1ab, 0xe3dfa81f, 0xecf39800, 0xfb3a9a82, 0xd4ac4b25, 0x6fcce586, 0x6b6d0e95, 0xd12d1200,
+    0x2c556c6f, 0x65ea8ddf, 0x55f55093, 0x7c3f5e5b, 0x63c52279, 0xf339b863, 0x07caf1d4, 0x3fdef948,
+    0xa6765d7c, 0x6fc252ff, 0xaa6d9207, 0x4fe41e19, 0x1389056d, 0xbe5a6012, 0xdd964900, 0xb31ce67c,
+    0xb9ca836f, 0xc55b8099, 0x8db1a65f, 0xaae0e381, 0x9cdae5d7, 0x24b928b7, 0xa6853923, 0xf18477ac,
+    0x6aed4b65, 0xca10d873, 0xf5ae7934, 0x4a6d0446, 0x50f9e5e8, 0x42eac856, 0x21a5631d, 0xbab485ff,
+    0x8bd7ab91, 0xea3419a1, 0x7587b600, 0xec09a630, 0xf83c1ee7, 0xd8394916, 0xb4669dc3, 0x864483b2,
+    0x1c963d09, 0x99e2e86f, 0x2cd8a483, 0xf4c55c6d, 0x62cc0a4b, 0x6d18d4f0, 0x166e4a15, 0x5276b5f1,
+    0xdda50313, 0x2991b2ae, 0xc27be35e, 0x6a76e2dc, 0x0ec0ea98, 0x971809ec, 0x0938511c, 0xd8c5b6db,
+    0x5500e8f1, 0xa6d2ecd0, 0x8d9a63f0, 0xd2f791a8, 0x417d0c1c, 0x60f0ffd0, 0xec001103, 0x32a80b33,
+    0xb199aed4, 0xb98e86e4, 0xfc888443, 0x34820eb2, 0x324b308e, 0xba99d663, 0x0190beba, 0xfe23331e,
+    0x488313d1, 0x80e3c2de, 0xa9c821b5, 0x43d4b2b0, 0x1bdf128e, 0x55911a4d, 0x756cd089, 0x42a242f2,
+    0xd0a8e057, 0x2ca81bf2, 0x78810512, 0xe77d03af, 0xcc7e81d0, 0x126cffc2, 0x6c4095d3, 0xe31eade0,
+    0x060cfed1, 0xa721fa3e, 0x00e670aa, 0xe3059a07, 0x53517954, 0xfb0bcd98, 0x512f3e39, 0x99ef49d7,
+    0xabce8cf2, 0xd8d63d66, 0xda2b1c66, 0xd269b369, 0x001f347b, 0x26e715d3, 0x889e2bdd, 0x00e67554,
+    0xf024cc57, 0x8d0d0f77, 0x1900051e, 0xfb317917, 0x7a7ffd9f, 0x26fad9b9, 0xee5a83ae, 0xbc83bfe1,
+    0x54878db4, 0x3a0fcabd, 0xc06fbbfe, 0x2195db4e, 0xb6e19991, 0x49b34e04, 0x34b5eba1, 0xd6d0d59d,
+    0x5df7e9d8, 0xdfa00fd8, 0xd3507b08, 0xf0bcd794, 0xe03055d6, 0x6e7e1e08, 0x3a99cf61, 0xe00588fd,
+    0xaf988e7c, 0xee392fec, 0x611490e9, 0xa1076e4b, 0x21dc495d, 0x96c391a9, 0x711550f8, 0x048a5e84,
+    0xb16fd287, 0xd80ca56d, 0xf512b41f, 0xba4a9ca0, 0xf2d16af1, 0x7d968743, 0x6fd41c4b, 0x78e05db6,
+    0x7502851d, 0x7e0f7e7f, 0xb1b8d69e, 0xba4573c3, 0x760208f1, 0x73b100a6, 0x3655d59c, 0xa468d71b,
+    0xbc485ed7, 0x1c798cc3, 0x7345a261, 0x6091debe, 0xef437bd1, 0x24d00e81, 0x6ac3fdb4, 0xf631d2e8,
+    0x79b7a21f, 0x7cdba8b9, 0x9097e96b, 0x69995ed6, 0xabfc5af0, 0xfa046fc0, 0x8b1d4087, 0xb9b69ecb,
+    0x1889f45c, 0x714c04ed, 0x96dbc392, 0x2f239ea5, 0x92512737, 0xe2d20011, 0xe26bc5ed, 0xe57294ba,
+    0xbe7b4e1b, 0xcf2e31a2, 0xc6f9af56, 0x1d45261f, 0x4944159b, 0x8e259d17, 0x37d8d361, 0x180443ca,
+    0x8c3335e3, 0x684e0f1d, 0x9e17dfce, 0xd385a32b, 0x5a2e7006, 0xaeae8d90, 0x682d5160, 0x576e18d5,
+    0x99baee78, 0xa4d474bd, 0x7df601d0, 0x3ae06205, 0x361f6e01, 0xd7888d49, 0xa21aeb1f, 0x6d53a454,
+    0xcd4e5b35, 0x265dd5d7, 0x3b93ea03, 0xcfb6cf8d, 0x8d79598a, 0xd14a40dc, 0xfe898621, 0xa554f1fe,
+    0x00000000,
+    0x682a9389, 0x5c18b83b, 0x5e042c45, 0x0f4c5f33, 0x2a6fefa3, 0x8a562dc9, 0x75403909, 0x049664d2,
+    0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000187883406621906658231158447743146\
+                          96219005460391266558965658327772257672200916867547709591987078149624255479808 */
+  { 0x00000000,
+    0xec660ca3, 0xade3d3bd, 0x00ce7fee, 0x0a87281c, 0xfb59acbe, 0xc2d6db80, 0x4f6da4ac, 0x26c091e1,
+    0x372d2f46, 0x44cb9497, 0x69787ad6, 0x174a0685, 0x550746ca, 0x278fa527, 0xa9b1e9e2, 0x3cd67431,
+    0x3cb8f3aa, 0x05c20ac0, 0x5d013a73, 0xaf1d704e, 0x9da52997, 0xadafe543, 0x29e81037, 0xb3a707ba,
+    0x4effe2dc, 0xc9fe8d0b, 0x175a4bb5, 0x0d3c0bde, 0x7df45f6a, 0xd27ef6b3, 0x6db3d9f7, 0x0f93b55d,
+    0xbd62639f, 0x3305b6bf, 0xbdd0a3cf, 0x24bbb443, 0xe373ef5f, 0x61b1f10f, 0x8cf627d1, 0xa94c7e9b,
+    0x80d84145, 0xcc534c05, 0xc3d4c9a7, 0x5f449340, 0x67be3732, 0xba512aac, 0x398eeb0f, 0x74b783fd,
+    0x202f6890, 0xb5269a6f, 0xe8ed664c, 0x81079289, 0x08aaad46, 0xfac082ef, 0x91119565, 0x4da4900e,
+    0xfcef6fbb, 0x1a5daeb4, 0x8a734c2c, 0xe9456217, 0xd4bc583c, 0xe8e580e7, 0xe05db5d7, 0xf6d1770d,
+    0x412424de, 0x054cd058, 0x2dcf0c83, 0x0bec5f4b, 0x25091b54, 0x087e60d0, 0x3c9057fa, 0x02162bcd,
+    0x649e7528, 0xe35de7cb, 0x62205727, 0x156a1d62, 0x57be7c3c, 0xa011ddb2, 0xbee5444e, 0xa3e895d8,
+    0x6b74245d, 0x5f8c9929, 0xfe8964f4, 0x24cef543, 0x590f4d01, 0x0a28f5be, 0x3086becd, 0x70260f47,
+    0xb0994a25, 0x510dbf47, 0x43b314af, 0x82b80e74, 0xd09cfe6c, 0xa149898e, 0x649111d6, 0xf4b0e199,
+    0x738049e7, 0x2f5be74f, 0xe636293f, 0xe8ae1fc5, 0xe80e73c0, 0x4389be0f, 0x261f3712, 0x4f004a26,
+    0xe738fef7, 0xd893b2b1, 0xaae44932, 0x8e5033ee, 0xf800f34b, 0x3d3ed57a, 0xc9f4cf3b, 0xe7094ad6,
+    0x105521c0, 0x16c2820a, 0x5a2d8053, 0x67cd0fce, 0xf443ccc5, 0x4ecef3d4, 0xf67ecfbc, 0x60f57e17,
+    0xe079c155, 0xa7376049, 0x3823257b, 0x2847083b, 0xb812a1f7, 0x23111e83, 0x8990d9ca, 0xf420fd3e,
+    0x55618e6d, 0xd30f213d, 0x7b71b28c, 0x050e7fd5, 0x70c61bf6, 0x650e8c12, 0xa863cc74, 0x3c6c0009,
+    0x2a4db6c0, 0xd3f0b8d5, 0x7cad9c7c, 0x9a4c75a9, 0x2a45c374, 0x813c3680, 0x0252c334, 0x0b6cb385,
+    0x2927823a, 0x53df94eb, 0xb7418615, 0x213a44ad, 0x7d9b45d5, 0x7be54270, 0xcf50f3dd, 0x34e26189,
+    0xdde35804, 0x5e12fd08, 0x3bb86369, 0x8867ee9d, 0xa7ba8ad1, 0x8010d1e9, 0x17f21f3f, 0xb82e7239,
+    0x97d44aa7, 0x2b526c61, 0xc17bc7c7, 0x821fdcfe, 0xb063894a, 0x512df0fe, 0xc8143009, 0xbe40483e,
+    0x5f237e7b, 0x034e3096, 0x9bdf18f5, 0xaa6e50c5, 0xd16a848c, 0x70791dcd, 0xe73c4a55, 0x21244c89,
+    0xd696170f, 0xa9dc4fd8, 0xb96c4ee5, 0xaf52492d, 0x25c31ea1, 0x913e98b2, 0xd412fe96, 0x90ba4c52,
+    0x4059e9a3, 0x1c0c6949, 0x6a16e46d, 0x803ad5de, 0x9aaa64ab, 0xe4254bba, 0x6bfaef7c, 0x2878fb95,
+    0x4532ec9d, 0xf584ef58, 0x2219bb48, 0xd38e9856, 0x19d2a5c2, 0xa4736615, 0xefe3427f, 0x461f4d83,
+    0xe8737733, 0x858731d4, 0xf79fc9d8, 0xfcad1c8f, 0xfeb7a1a0, 0x32c2f48a, 0xbdd09537, 0x09f1c885,
+    0x3e247f34, 0x5dc744c4, 0x128518c9, 0xb1c7f951, 0x093bbf2e, 0x86497ea0, 0x2f97aaaf, 0xc1d5bf72,
+    0xd564b274, 0xf4446c96, 0xf791d240, 0x26ecbaff, 0xfcfe4771, 0x90ddeabc, 0x390ff339, 0xf6294735,
+    0x264fd907, 0xc5933c2e, 0xe27e7f4e, 0x469f9853, 0xea2437f1, 0xa397a2c3, 0x4dbe96ce, 0x218aba4e,
+    0x6e7a7d79, 0x48feddc6, 0xa89d74d5, 0x921e47d6, 0x9f433506, 0xb2c79177, 0x128c6cca, 0x28133b9a,
+    0xf5a6b0c6, 0x64a9ed29, 0x414aa17e, 0xe4c81a5a, 0x01f87517, 0x02e18e28, 0x003e4bb3, 0x8dd94059,
+    0x38eca263, 0x01ec883b, 0x379ffe9a, 0x4a13e4bc, 0x438353d2, 0x6a559d84, 0x1867ba5e, 0x101af071,
+    0xcdd7afe8, 0xf60ef803, 0xaedf4285, 0xe466a313, 0xb41eb31c, 0x2ab5ffe9, 0x123ee314, 0xefb4d52d,
+    0x450c6539, 0x94bb9071, 0x4ecd5832, 0x06e10bc8, 0xc5eac202, 0x1c89ae92, 0x748ec08b, 0xace8f01a,
+    0xe881966c, 0x8808b80f, 0x105ada55, 0xaac4c47c, 0x3789fbb8, 0x4a5aa2db, 0x5b053e50, 0x2af824cb,
+    0x3c3990a6, 0x1ce52b18, 0xcc2f1c78, 0x54ae77df, 0xb9ad3283, 0xb00503b0, 0x9559bf0d, 0xbb4a560e,
+    0x0860b311, 0x94e694bd, 0x870cebf5, 0xdbb49127, 0x6b75d901, 0x58096e91, 0xec07c93a, 0xec079421,
+    0xc301ac0c, 0x1841c430, 0x4373afd6, 0xa5f47fb9, 0x6494f973, 0xb076cfa7, 0x0d5dda5b, 0x4d23e840,
+    0xeaa8e0b0, 0xf84a244c, 0x883849cd, 0x8285dfe1, 0x608611cf, 0x252a2320, 0x57717b69, 0x925110b5,
+    0x4eafb823, 0x70464272, 0x3a96dc21, 0x7d191741, 0xabb832d5, 0xc9ff32d6, 0x070f05eb, 0x37eed0fd,
+    0x321de5b2, 0xddb9224f, 0x1c512faa, 0x8af518d1, 0xb9b3fbe0, 0xe672b50d, 0xb786e9a1, 0xde7ebb70,
+    0xf7744b5a, 0xb0b65750, 0x29a8ed2f, 0x6c4bc608, 0x6267dee0, 0xb7b18f4c, 0x7fcd648b, 0x260b7281,
+    0xd45cffd8, 0x3b42227f, 0xf6117a58, 0xa75a5d13, 0xd2d788af, 0x588fdb63, 0xa2c7627c, 0x5d6eda1e,
+    0x33bca203, 0xf0ab9bd3, 0x8ed9f62d, 0x6f8f4384, 0xc8f00ca3, 0xece1753b, 0xc1119c77, 0x5b4635d9,
+    0x09290eb5, 0x9486fc1e, 0x7d18ac2d, 0xc8dcebc8, 0x48895995, 0xe267df68, 0x531885b4, 0xafb50793,
+    0x39e7aef9, 0x5516e5b4, 0x1a6c5af9, 0x87821521, 0x9c0ac152, 0xf2e553e3, 0xfac4c138, 0x55e8b733,
+    0x01166a8e, 0x577deb14, 0xa5e3bd97, 0xf0ab6286, 0x62de2d28, 0x1f9df18c, 0x34354929, 0x75763aea,
+    0xdbb0004a, 0xc04e8e2f, 0x9a6228f2, 0x192a9c83, 0xda93b8e6, 0xf4495101, 0x990792aa, 0xa99e5e4f,
+    0x78e5cfb7, 0x5ff2ca51, 0x79e7ff9c, 0x5f62d0b8, 0xc5bd7e09, 0xcc320466, 0x6184d2cc, 0x57baaea2,
+    0x4b082e3a, 0x91259e74, 0xbbaa1713, 0xc8ec32fe, 0x6aaf7999, 0x490f3771, 0x1101d273, 0x026d7afb,
+    0xdbaf72bc, 0xce3e1520, 0x579c4c40, 0x0772386b, 0x913e7bf9, 0x279ec470, 0xad49404c, 0x9c719396,
+    0x2b6c7807, 0xae53fe66, 0xcfc81741, 0x1c2639ca, 0xc86ed206, 0x0cfb487b, 0x29006d2e, 0x22e5f219,
+    0xbc863634, 0xce2466ba, 0x4485c948, 0xaba3aec1, 0x0f88ee4e, 0xc8d23e68, 0xd7f5e110, 0x503efe13,
+    0x6cf0dfc3, 0xb30603ed, 0xc7a39a66, 0x23056c2f, 0xa5dc3095, 0xa8e57ebe, 0x17cc56f5, 0x2d55d194,
+    0x4c2060cd, 0x0b14a760, 0xf865b49f, 0xe93f2d06, 0xd2307311, 0x17fdf4a9, 0x06eb833e, 0xfc0b6124,
+    0x7957136c, 0xb0418847, 0x2aab8558, 0xfd2ca6f8, 0x98cc12c0, 0xaf8ea234, 0xa0de003b, 0x470b143f,
+    0x4451b55e, 0x97bcde44, 0xaa4dafe4, 0x1e497ddd, 0x9e9066f9, 0xe915e7ab, 0xa349236c, 0x3e52da69,
+    0xb3ad594a, 0x56767cbb, 0x87c906e1, 0xbe511ae6, 0x76687779, 0xabb44407, 0x56365509, 0xb32437b9,
+    0xfd124a4f, 0x4b9c3330, 0x60b50fdf, 0x4e27e412, 0xc57a0bd0, 0x4c2384ee, 0x304b088a, 0x4afc6c2e,
+    0xf1a86554, 0xe8008b05, 0x5ed1c735, 0x66cb5978, 0xe1207f94, 0x4038b51b, 0xa7164d06, 0xdfcdfbb1,
+    0x9456a3a3, 0x7ead6816, 0x9d44336b, 0x06b32070, 0x43929056, 0x9f4a6b14, 0xe2f11e05, 0xb4a9f283,
+    0x1f01e7a2, 0xb2d55b50, 0x34ef0ce3, 0x7874d40e, 0x633b22ca, 0xf3b7c8a0, 0xbeb5937e, 0xd466defe,
+    0xe7c7c679, 0xef794ddf, 0xe5be38b3, 0x902c1ded, 0xf7909611, 0x43164fcc, 0xd4443d31, 0x8a6b9f04,
+    0xdd2055c6, 0x156aebdb, 0x8b0d8967, 0x5e020739, 0x27d34498, 0xa3c73072, 0xc35a164e, 0x2a61c96d,
+    0xd0411830, 0x5419972b, 0xc5bc8fd7, 0x60fe8544, 0x8211757a, 0x26fd6c11, 0x5c899b8d, 0xf525d11d,
+    0xd3bd0ada, 0x2f8eb178, 0xdd0b4b92, 0x50b0ddbc, 0xb749f02c, 0x6b89d93e, 0x568ce207, 0xb4dd4328,
+    0x5c858138, 0x02f4432b, 0x6a9beca0, 0x683185d6, 0x0a620ff6, 0x2a459d19, 0x0623f88e, 0x5cee2daf,
+    0x59276669, 0x901af018, 0x079bd735, 0xb8ca410a, 0x05b24705, 0xa3a77fb3, 0x51e1ed62, 0xffb7d5c6,
+    0x23f47eb7, 0x7f102ba7, 0xf2db79e1, 0x767f5260, 0xe4b66c72, 0x05ee46d1, 0x234ea9ce, 0xb5e784b1,
+    0xe3a33269, 0x3ca5282f, 0x00865e3f, 0x5ab1a053, 0x8bd000c0, 0x0ad5acdf, 0x2cb6d157, 0x35309ce2,
+    0x5a2ab2e0, 0x4be2e093, 0x9c3a282a, 0xa7d8a9e3, 0xa75bd960, 0x877bbbb6, 0x81f6dcf7, 0x1887277d,
+    0x5ccaceec, 0x185cbf03, 0x90027778, 0x2eb413dc, 0xd1171af5, 0xdc286a8b, 0x09748cb2, 0x67d3da1b,
+    0xee811fe8, 0x0e96d9b7, 0x58e8d6f7, 0x5f79205f, 0x4c4f9364, 0x6314eb19, 0xefc2bf83, 0x441f43d1,
+    0xd5e28723, 0xf93e4b57, 0x97e8303d, 0x31e11c5b, 0xc26e79b5, 0x384d9bb2, 0x90b21509, 0xc60495ac,
+    0x985a6349, 0xbc464b53, 0x84dd20f2, 0x7a54460a, 0x5d073d9f, 0xaf3992b8, 0x0d0f7fd3, 0x2f98d72e,
+    0xa7f134cb, 0x8ff09f8c, 0xe0c22055, 0x8531ddd9, 0x1ec86bc3, 0x1ac3e81d, 0x31657e05, 0x92ba671f,
+    0xf453df44, 0x89cfb1d5, 0x0d1eb3e1, 0xb441b605, 0x6e65db0f, 0x518b8fc9, 0xcd1bfd07, 0x50d1a57e,
+    0xd6f8bf7e, 0x2bfba2c3, 0x81fee140, 0xcd9d1ff1, 0x96dca166, 0x682f9ce0, 0xaa408b2d, 0xbeb8a145,
+    0xe79385f3, 0x25d2416d, 0xe0a97ead, 0x4bd1be09, 0x35901656, 0xa4ca6986, 0x2dc47e54, 0x4a4f0d72,
+    0xfa790d33, 0x13ec75fd, 0xa153125d, 0xe018c6f5, 0xb816c941, 0xf4c0af3a, 0xc02525d8, 0x80fb4876,
+    0xdb97c755, 0xa800b50a, 0x02c48777, 0x36ea884a, 0x7a940d85, 0xd2c257f6, 0xf63387cc, 0xdb374e53,
+    0x89855831, 0xdd9a8f65, 0xe88d208d, 0xc6c8b61d, 0xb2c82191, 0x461f54d7, 0x6106c3a8, 0xe3c76e5f,
+    0x59aee183, 0x35e13793, 0x826f371e, 0x3d6c97a9, 0xd08342e6, 0xa191ec5c, 0x17245f59, 0x72b00ee1,
+    0x9266a57e, 0x792ddf8c, 0xfa956f61, 0x2e24fcd0, 0xffebcc4e, 0x23b844b5, 0x3fde9514, 0x3013bfb5,
+    0x65d479ca, 0x2acf453c, 0x766c2153, 0x696b8a55, 0x0f72a84a, 0x7277f546, 0x43e334b2, 0x04cb0faa,
+    0x3abbd4e8, 0x415771da, 0xb4575a6f, 0xb060c43b, 0xcdcf27a7, 0x867ae4da, 0x2599ac78, 0x4ed8f323,
+    0xaa79bd60, 0xc8c4479f, 0xa2f813af, 0x1062798a, 0x1dfce33e, 0x459c6e19, 0xa15f359c, 0xabe69a9f,
+    0x6c060c54, 0x9dc72951, 0x5f71241a, 0x121daaca, 0x4144be8f, 0xe1323f36, 0x66b2b4af, 0xa446ef9c,
+    0x726ae6b7, 0x4e7f3c93, 0x23645daf, 0x89b918af, 0x6886bd8e, 0xf1d7a002, 0x3ed69c1f, 0x68ff10fa,
+    0x8d608df4, 0x0bae43eb, 0x561a01ea, 0x1fa637e2, 0x1738099f, 0x13829dff, 0x48696252, 0x5efbf653,
+    0xa268f5e0, 0xa8012a50, 0x1a6eafbc, 0xc3c3ea8e, 0xf45889a1, 0x27c0a977, 0xb05942b4, 0xa7119175,
+    0x1149e9ba, 0x5f7b8469, 0x4928d957, 0xe934b187, 0x3fa7bce6, 0xe5683e0f, 0x3ba1d489, 0x6206375e,
+    0x4865d22d, 0x92bdd9a9, 0x6008143f, 0x5221bc3f, 0xbe8d081a, 0xec75b463, 0x9dda413d, 0x671a86eb,
+    0x4b03158b, 0x47f298f5, 0x31739751, 0x22d2776a, 0x81911f7e, 0xf8aa1bd9, 0x8719467d, 0x68396a26,
+    0x8c5dbd8b, 0x11d4e153, 0x5b294f5c, 0x6ee94eae, 0xb8aaea6c, 0xda769b51, 0xafc58083, 0xa9461a36,
+    0xe28ef11e, 0x2b981b59, 0x99f6f497, 0xc37a38af, 0xe37bd3be, 0xc7acc284, 0xa8de6bba, 0x8bc392e4,
+    0x8db5950c, 0xa28ee744, 0x93be56d7, 0x62798f5a, 0x82d4f72f, 0xdef6e10f, 0x6d3ad62b, 0xd231754b,
+    0xcddca0f2, 0xc6733188, 0x44c34007, 0xb5e819bf, 0x1f2cdee8, 0x7e1933ae, 0x256f4f73, 0xd40953b0,
+    0xc4c8a049, 0x034ac6ca, 0xf00a5b29, 0xbdd8a124, 0x8c608c12, 0x10edf1e8, 0x6e3b07ff, 0x09863d1f,
+    0xafd5141d, 0xec9ad33c, 0x135a7516, 0x25b145e9, 0x194b8f2f, 0x88ff07a4, 0xc5d1c098, 0x772a364b,
+    0x5883ad06, 0x4b4e23a4, 0x2c736016, 0x69af7cdf, 0x29b0157f, 0x4a54aab9, 0x89e62b14, 0xfcb6d058,
+    0xa3446483, 0x64699e3a, 0x89a7df53, 0x64a68a4f, 0x42e52f32, 0x32a6ff6e, 0xc3c9389d, 0x7b48cd5e,
+    0x6fa4faf7, 0x090c9d4f, 0xe05f94b3, 0x7caf072a, 0xdd45e634, 0x7e6f2046, 0x70262d55, 0x6f2edd08,
+    0x41417ef0, 0x006f2829, 0xeda235e4, 0x7cb9f733, 0x02dffa9e, 0x4a39c941, 0x351282a1, 0xe891f318,
+    0x2d8a691d, 0x27fb8b40, 0x5f8d36d7, 0x8bffb795, 0xa96304a5, 0x71186529, 0x9b34d728, 0xe6a432fa,
+    0x7b49607f, 0xb5d768fc, 0x097e9bb1, 0xb8455163, 0xd2d251e3, 0x3053a22e, 0x23955389, 0x7961e29e,
+    0xbc30bf49, 0x72b49f68, 0xb09d15db, 0x02747d84, 0xc0a05545, 0x77408f6e, 0x10a25cc6, 0x656f3c82,
+    0x614652fe, 0x2a90a78a, 0x2967c430, 0x660936fe, 0x426baacd, 0x8b1249d4, 0x16b38d28, 0xd1473545,
+    0x1363feac, 0x6c58a0f0, 0x00e1da5b, 0x32cbca23, 0xa379638a, 0x4856352d, 0x7af38064, 0x8b8a0f8e,
+    0xd27a5e59, 0x50b5bf78, 0xa158d7ab, 0x2287e559, 0x2276bf2d, 0xef90dc84, 0x01e4aacd, 0xcff05b6d,
+    0x786095a3, 0x638cd8f1, 0xd345f2c9, 0xce94156b, 0x6f76cdc6, 0x03c16b95, 0x28ca4e94, 0xc23c246e,
+    0x54481c3d, 0x3cdfe756, 0x77ac69e3, 0x350af192, 0x960d0a21, 0x72621d77, 0xf37348d1, 0xdfda046e,
+    0x4b0523ed, 0xb0c00a61, 0xdff0c819, 0xd9e4731f, 0x6ab7df5d, 0x04319a31, 0x0812ed73, 0xa280ca78,
+    0xc82f52ae, 0xd800a6a0, 0x575ad5c8, 0x8122960d, 0x5ccdfa3b, 0x1d5b89c9, 0xa757022f, 0xc2dd39b5,
+    0x143844bd, 0xff222f3a, 0xd0c01541, 0x35c6e200, 0x7fb252ec, 0x0a199c1a, 0xf9773f3d, 0x395f1e11,
+    0x74ce083e, 0xeb18ed5c, 0x82147517, 0x1a512bd0, 0xd8a44cb3, 0x4577f5ee, 0xe9b4a872, 0xa60b73ac,
+    0x43a39668, 0xe720f666, 0x5faa3e58, 0xc29ac75a, 0xa3c4407b, 0xd8d41013, 0x5dad07f5, 0x1b63e7b9,
+    0xca9b60e3, 0x8b3c37d9, 0x3bb9fb0b, 0x06a70ea0, 0x5a2052fd, 0x61f232ba, 0x81b6405d, 0x9fbda584,
+    0x7bc31b77, 0xbf55fabb, 0x83840665, 0xca933c46, 0x0c4d4c10, 0x125488a8, 0x2df87462, 0x0d384eae,
+    0xbc593dd8, 0x936ac085, 0x6a5efd4c, 0x7c2ac06a, 0x92b08c16, 0xf50044d7, 0x1cb13db3, 0x5f3bf1cb,
+    0x2f01a644, 0x04cb144e, 0x68761d5d, 0xb21fa370, 0x5294b596, 0x75e73cd6, 0x33286901, 0xa3109e66,
+    0x07ffb730, 0x8ca1f229, 0xf005229d, 0xc18d1b7b, 0x598eb142, 0x4f1b8bd3, 0xea043999, 0x438f120b,
+    0x22f64fc9, 0xe9c1f9ba, 0xcffcfc52, 0xcb0532dd, 0x532a8652, 0xe0575b1f, 0x3a9033de, 0x2ceebcbe,
+    0xfb8ec1cd, 0xca7969bb, 0xb06a51fe, 0xeb7873fb, 0x096da74d, 0xc8105307, 0xe9d5baeb, 0xbadef8c2,
+    0x6a93ff3f, 0x5c1fb12c, 0x4291d1d7, 0xb3616117, 0x153c8ff1, 0xf049fcbc, 0x3aef7e89, 0x5b110d6c,
+    0x20a4e173, 0xb5793c75, 0x9390fb8e, 0x4bce571e, 0xb185e33a, 0xa599fec2, 0x02ce3f12, 0x9179284e,
+    0x00000000,
+    0xb41549c4, 0xae0c5c1d, 0xaf021622, 0x87a62f99, 0x9537f7d1, 0xc52b16e4, 0x3aa01c84, 0x024b3269,
+    0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000093941703310953329115579223871573\
+                          48109502730195633279482829163886128836100458433773854795993539074812127739904 */
+  { 0x00000000,
+    0x56153f1a, 0x134f7671, 0x4458e91a, 0xd2438bac, 0x06604741, 0x15361904, 0xed979e33, 0x1d46faf0,
+    0x590453af, 0x873e9bfd, 0xb682abab, 0x170ec3f5, 0x981df8b5, 0xaf92ec8d, 0xe9a68543, 0x6ce3e238,
+    0xf7ab7508, 0x29cc07d1, 0x24817db5, 0xf221ffdf, 0x25efc1ab, 0x0771572b, 0x5ed4fa00, 0x9ca2e87b,
+    0x0c4c0131, 0x8cb30667, 0x01da3ac0, 0xaee04e7c, 0xeed80969, 0x12e0cf35, 0x86875e90, 0x7ece9c00,
+    0x171e86a0, 0xfd4ede7c, 0xc7255e3f, 0x5087f960, 0x3846a8d7, 0x0ce34a50, 0xc2f3e9e6, 0x8dad11af,
+    0xc2f17fe8, 0x31dbbdcc, 0x73ce1bd6, 0xc6b01b99, 0xa7728308, 0x247bcd5c, 0x437bf0cc, 0xaf9f72b8,
+    0x09d71781, 0x2b5d3579, 0x18dbac6c, 0xa43115ca, 0x1b15803e, 0x7ff37699, 0xd5f6da79, 0x358c39d5,
+    0xa3573093, 0xcdaf7391, 0xb3cb27e5, 0xef369f2e, 0x24a03cf4, 0xc58dd596, 0x06bb5f93, 0xbced2ee3,
+    0x73a7576d, 0x6b8c49e8, 0x86fb6088, 0x030d29e8, 0xc0878ad5, 0xa4c21e7f, 0xaae3642c, 0x89de0911,
+    0xd817bb5e, 0x54b05a0e, 0xf6c849bb, 0xdab844fd, 0x9bd6afe1, 0xbfc6b785, 0x70badfdb, 0xcdb4fce8,
+    0x4268c45d, 0x553d90c6, 0x3582cb56, 0x61f14b27, 0x014ff2b7, 0xf4ee7f80, 0x4c189371, 0xfd7e746a,
+    0x29d83e40, 0x94220a6f, 0x2636a6ea, 0xf9b06eb5, 0xafe54bb7, 0x42c6ee9f, 0x5c53c1ae, 0x8c6f0dbb,
+    0x866c706d, 0x1f14984d, 0xfdbec121, 0xa779cb62, 0x91371b8c, 0xf2a9aa56, 0xbcce797f, 0x0e759434,
+    0x77d99b62, 0x9ab4b9a4, 0x384cd140, 0x2e09accb, 0x5d5cbd13, 0x0686ae0c, 0xbc0009b4, 0x7c54c83c,
+    0x50122f87, 0x84b36182, 0x49e65ebd, 0x0c4609d1, 0x82857933, 0xc58401d3, 0xdb6cc267, 0x1518cee6,
+    0x1b38fb31, 0x161604dc, 0x06fc786a, 0x05010b59, 0x532a2590, 0x7f30f251, 0x5785c08b, 0x0c9216a6,
+    0xca5f5102, 0x417af99f, 0xa0a17839, 0x95574740, 0xed41d1d1, 0xa93337a1, 0x97eace3d, 0x3e3028c5,
+    0xadca619a, 0x18632f00, 0x8f639f23, 0x49110310, 0x83753809, 0xeca6c5df, 0xb307d28d, 0x30ab2aae,
+    0x20ca68c2, 0x8d275e1f, 0x0c9c7541, 0xae239154, 0xa44643d2, 0x02afb2a4, 0xdcb7b811, 0xa7a5adf0,
+    0xad1a38b7, 0x6b8e0a04, 0x1df64729, 0xd0f1a1d6, 0x6a1c9299, 0x784bb42a, 0x74ed4c4b, 0x0b90ea67,
+    0x6ab83a3e, 0xb67235d8, 0x3f75801b, 0x65b824f4, 0xb2108a97, 0x48b1d39e, 0xf5e03cf2, 0x35053718,
+    0xf1dbdab4, 0x353b228f, 0xc4e0075a, 0xe67ec4f8, 0x6cc85c97, 0xa51ef371, 0xf64623e5, 0x754251aa,
+    0x5645e268, 0x24b5769d, 0x33c8e538, 0x73826d5d, 0xd22208e2, 0x36ddc2c4, 0x1e20bdec, 0x0d56d207,
+    0xfb29ae41, 0x7091c598, 0xf1cbb5b0, 0x272fa4d4, 0xa34b1bdc, 0x5cfdc1b4, 0x430bff0b, 0x12719600,
+    0x7e4ce6db, 0xb5dcc4cd, 0xfe6e1db3, 0x13bb88c2, 0xb0533856, 0x803c22f6, 0x602ea975, 0x6439b803,
+    0x6571dfac, 0xb5d71241, 0x44bf61a3, 0x5b63b82a, 0x76382394, 0xb86ce3c1, 0x37aafc22, 0xb6340879,
+    0xc14f2024, 0x79c8947d, 0xf0d0cbae, 0x47458679, 0xd53a2c6d, 0x2b9412e8, 0xc16d4908, 0x1d142880,
+    0xd63be3e2, 0xb070cd52, 0x4b430806, 0x887cdba0, 0x12f420c0, 0x83c6b1a6, 0xa27c7c7e, 0xf3a03f05,
+    0x6b7455c5, 0x9cfcad93, 0x9f32e4bb, 0x948ec18e, 0x9d78b7a0, 0x05319a3f, 0x2f14aed4, 0x5a546447,
+    0xca8f6fc9, 0xb4d09f3a, 0xd9be133b, 0x513c962e, 0xf21ee2ed, 0x8a948248, 0xaa205a23, 0xa74e394a,
+    0xa4f66774, 0xa2da463a, 0xef38e41f, 0x55758a6d, 0xe4922ca4, 0x640e8f56, 0xb58e56b8, 0xb7359858,
+    0xc6a8a8ba, 0x192ef000, 0x09a7c686, 0x427ad8d5, 0xc1bf04be, 0xd1df4bdd, 0x5e402d31, 0xd5cd12cd,
+    0xf3fdafdf, 0x9f62b4f4, 0x9d20f80d, 0x122bf9c5, 0x35967707, 0xcc98ef7b, 0xd3b88f6d, 0x467d7e8d,
+    0x03bf6802, 0x09a65dd4, 0x2837e135, 0x0c196f48, 0x6f422a47, 0x508f568b, 0x629c8cb9, 0xa101a62c,
+    0x888f2655, 0x9e335163, 0xd851463f, 0x140bb737, 0x0897f308, 0xfc2adfc5, 0xc704b945, 0xbb3829f6,
+    0x71919d49, 0xeba587fb, 0xb75cd0ba, 0x2e3bed54, 0xeebea661, 0xb6564278, 0x43837e7b, 0x1f87a55a,
+    0xc898c02e, 0x9be9d203, 0x30945600, 0x3c903864, 0x2c6603ca, 0x95798b8d, 0xb5557c33, 0x7dec3e54,
+    0x9feeb26a, 0x2a938b6c, 0x04f8d708, 0xae1036fe, 0x281cae56, 0x775d97da, 0x114adc7f, 0x0fb457f1,
+    0xb53b53b5, 0x0fe1c394, 0x127b725f, 0x6f495c1d, 0x678c7ed1, 0xb7e77df1, 0xcd71a1fd, 0xa3d79747,
+    0x9578f92a, 0x29a14eca, 0x7627187b, 0xc2ee8098, 0xa3cecf50, 0xaa4aecac, 0x900274eb, 0xe6f9ef13,
+    0x4a233c6b, 0xd8a38782, 0x876a8a85, 0xfa784ce7, 0x6d682499, 0x4f25e2df, 0x3c7309a1, 0x8e8c0652,
+    0x852660b8, 0xa11ef723, 0x144545ef, 0x3d3e7489, 0x56201d08, 0xc69055d0, 0x118e5083, 0x30a57520,
+    0xc7389b19, 0x4f204bb4, 0x6790153c, 0x0a639439, 0x5871d559, 0xadec8475, 0xb256e799, 0xa56715ed,
+    0x19534478, 0x043dc609, 0xc665c635, 0x8ea494a8, 0x40f685cc, 0xb789127e, 0x9cd2fa53, 0x9c37437a,
+    0x032ffc7c, 0xdf8bdb6d, 0xe7f16a22, 0x14de1a6b, 0xd648eec5, 0x3832306b, 0x193cc087, 0xd26cf93f,
+    0x1c4ca905, 0x86f908bd, 0x6db115e4, 0xfdaafffb, 0xe41ed830, 0x24beeb2f, 0x7339e2d0, 0x4fcbf738,
+    0x97f28e14, 0xf7673771, 0xe7e2865e, 0x8110f3cc, 0x3669ea8d, 0x1be1b4b7, 0x03a04b10, 0xe2d3a17d,
+    0x92ae4327, 0x3be6629b, 0xcdc1b5bd, 0xe1816663, 0xe3c2b874, 0x392bb7cd, 0x34322ca5, 0xc7e0caca,
+    0x7ca8efcb, 0x9ac3e556, 0x521006c2, 0x904d6508, 0xdb615b4c, 0x2d9f4b73, 0xcc27f596, 0x0e283512,
+    0x587469d1, 0x5e04136f, 0x9e7c7e9b, 0xc32e7dbc, 0x2348dd02, 0xbaad6f4a, 0x80155b32, 0xcc198343,
+    0x479487e4, 0x4d6f14f4, 0x30fa983d, 0xb82df1ab, 0xb36e8670, 0x006bd241, 0x14f23438, 0xaaeca116,
+    0x81fa22d8, 0x6f577a5a, 0xcb464a65, 0x571b83af, 0xbe6bd79e, 0x16f2fcbc, 0x55b99645, 0x13404615,
+    0x76715c5a, 0xcdcf00e4, 0x84c144c5, 0x909e6357, 0x9c25d127, 0x13b47cb9, 0x6fcc4cfd, 0xced4732d,
+    0xfb0036bb, 0xe0f483f7, 0xd46a979e, 0xd8c43fbe, 0x90ed8a77, 0xe2c60218, 0x1eb6e981, 0x0b863dfa,
+    0x2a3da1b4, 0x04a4eb14, 0xca4bdd54, 0xde5b3896, 0x19dcbe77, 0xad950e15, 0xc0360c34, 0x1590527b,
+    0x4e8ba6bc, 0x03d92a31, 0x76ffed79, 0x6c102ef1, 0x3023b5d1, 0x48c78b4e, 0x54efb973, 0x906ea1c7,
+    0x5f44707e, 0x753fde0f, 0x05f6edad, 0xc51ef71f, 0xbe084bc4, 0xde11db3f, 0xb49430ac, 0x5abbac1d,
+    0xc286f1cd, 0xb4441c24, 0xa3523f81, 0xea3b7fc1, 0x5e2a23a2, 0x16507217, 0x507da5ae, 0xb3c85872,
+    0x677c41c8, 0x8dee2723, 0xa4c237f7, 0x568d0f96, 0xc138e5df, 0xdfd475b1, 0x60c1e380, 0xa484c37d,
+    0x2071b1fd, 0x54763162, 0x61d8603f, 0x3dbf9a0a, 0x0b591642, 0x51997e22, 0x8e453d4a, 0xc5cc285a,
+    0xec6feaaf, 0x7540356c, 0x80bb883b, 0x2fd92c98, 0x02881da6, 0x2c221b8a, 0x2d021f9c, 0xb0f775e7,
+    0x51cf9a5a, 0xa1e2c5fd, 0xd2ea53f1, 0x1353aacd, 0xdd1a9a3e, 0xbeb8c8f7, 0xde149276, 0x6a5aead2,
+    0x5d2b1942, 0xb90094a3, 0xb988bbf7, 0x79e431bf, 0x1ea7af7b, 0x09ab8d68, 0x171f7508, 0xae92024c,
+    0xea2a2947, 0xc9491d14, 0x4a3b2941, 0x1b5868bf, 0x20baea93, 0xcab1ef2b, 0xd9bdc0b9, 0xc6ec1da4,
+    0xb698eb4a, 0x6d79f7ad, 0xdcdac27e, 0x39a24114, 0xcb5943d1, 0x191fad2b, 0x04a70d5b, 0xbfd87916,
+    0x6633f3ea, 0xdd7bdda0, 0x71c94c35, 0x95c28fa9, 0xdfdbbfdc, 0x6b594d1d, 0x88b06fc1, 0xaeb9aebe,
+    0x4134e392, 0xdf89f022, 0x1d19b15c, 0x761bee19, 0x409b3775, 0x3c3acdd8, 0xec072e37, 0xb6b5b2d5,
+    0x0a43ce1c, 0x78408d83, 0xba2df0e0, 0xe6ba5f94, 0xbc10c9a3, 0xcdc0523b, 0xbea24710, 0x8a780fa7,
+    0xeb4419c5, 0x410c6e17, 0x9004f148, 0xcaefdbe0, 0xcc07fa2c, 0xdce13428, 0x28ca8229, 0x3ff35846,
+    0xc0fd8471, 0x730c09ec, 0xdf82048c, 0xec9442d2, 0x9f16b077, 0x81b40bbc, 0xec5bb601, 0x48fd7389,
+    0xd4dd09cd, 0x5be6a4fd, 0x4c908c59, 0xa97fa079, 0x871f04de, 0xfcb068da, 0xc976202b, 0xcb675087,
+    0x7d109910, 0x67165ce7, 0x9370371d, 0x7de553de, 0x0f8da0a5, 0xb2ee9ab5, 0xa0880a55, 0xf38a6c79,
+    0x7000ce0c, 0x8f619d29, 0x552030ae, 0x24f9c4b1, 0x9a824b5d, 0x61bb7c82, 0xace0547d, 0xf8023c1b,
+    0x0ac8fdcc, 0xcf70b75c, 0x0107d43b, 0x285eaa00, 0x4f4b7a62, 0x8537a27b, 0xe54d1710, 0xb0359979,
+    0x18b9c01e, 0xa2528b3f, 0xf0ba64a7, 0x991c2141, 0x7778e118, 0x13cd1d9e, 0xe340f6f9, 0x72a24ba7,
+    0xff73b462, 0x512368d5, 0x19706296, 0xb6307612, 0xe93befa0, 0x4675ee28, 0x99aa055c, 0x2a88eea1,
+    0x7204b514, 0x29b1e29d, 0x93a70dce, 0xe7d02a60, 0x1d60e57b, 0xc155a856, 0x1b7e852b, 0x1e190996,
+    0xc55c5bd8, 0xd0d675c2, 0x7e4e3c02, 0x2fbcc2c9, 0x0a8bde5d, 0x54d35b35, 0x4454b6c7, 0xfca1fb9c,
+    0xcfb3e300, 0xb371d720, 0x8c094b5c, 0xa2caca08, 0x186a30d1, 0x2ce8e0a6, 0x49cbddce, 0xce6d72cc,
+    0xdff84e57, 0x203b4949, 0xf12ae558, 0x270d8937, 0x9ed974cb, 0x851d2e7f, 0x873cfb35, 0x27230e61,
+    0xb7b5ada1, 0x4a8f7886, 0xdd44add4, 0xf4ca9592, 0xa72f7cfe, 0xb42b3c0c, 0x9ea83796, 0x077e930c,
+    0x3d1b442e, 0x825c7898, 0xfa083bad, 0xdf82d14f, 0x3dca7053, 0x4bd4a486, 0x5ded8b4f, 0xa9a8ff0d,
+    0x47e64b34, 0xb92c2b8d, 0x34d2ae79, 0xf7727ddb, 0xb068542a, 0x0c514e44, 0x528d6149, 0x40e77da1,
+    0x5439efdf, 0x943042c8, 0x718a64e5, 0x7e17e913, 0xcb842844, 0xb7863006, 0xcd0f8dd7, 0x861e81d5,
+    0x442d3b45, 0x50c10d45, 0x5d75676d, 0xb7655c15, 0x8321da78, 0x918b4867, 0x4fda970c, 0xf10d6f3f,
+    0xf4a0a7bb, 0x4ad8236f, 0xe39fb5ec, 0x0c7a0474, 0xb68e1623, 0x33ea5e4f, 0x978789b5, 0x9b2f3c7b,
+    0xdeb47f1a, 0x8fe146bd, 0x45b9a8fc, 0xa2ecb9a3, 0xe2f01f80, 0x94cc6918, 0x2dbb0b73, 0x72826739,
+    0x8228fa40, 0xc0f6d053, 0x6ab13e8c, 0x06f1ca00, 0x0445bc0f, 0xfd2eb399, 0xd7f4936f, 0x165399d5,
+    0x25dfe6b3, 0xc1ff5334, 0x45e873e1, 0x6159002c, 0x9098aa06, 0xc8505f03, 0xa9b0cc3a, 0x7e29fcde,
+    0x0336976c, 0xbf481ef6, 0xa1c562d1, 0x6361a256, 0x9ee016ee, 0x74b06e2a, 0x0356a9a5, 0x4e802d5b,
+    0xbcb19bb9, 0xbc611e37, 0xaeb8f707, 0xb9b5ad34, 0x0a8f13d3, 0xe91dd551, 0x3a22f9b8, 0xa1a940eb,
+    0x70f757aa, 0xf9be620a, 0x2cc551cc, 0xbc24dfd2, 0x9a850b3c, 0xb8e38fa4, 0x4dbf09f0, 0xf805a858,
+    0x6ed7cc0d, 0xf6cc1b64, 0x261cb48c, 0x5046d1c4, 0x14b4fcbd, 0xe5016efa, 0x7dc2e252, 0xb9e94164,
+    0x5c0850b2, 0xe3c17d21, 0x0619a689, 0xc16dc906, 0x9f18879d, 0x5b6042aa, 0x7482026f, 0xf4dabba4,
+    0x22edd930, 0xf5552ee3, 0x9906c8ee, 0x535f2cc7, 0x99d4bd0e, 0xff54f435, 0xff2b4b47, 0xa6b2ccf4,
+    0xa36f67cc, 0xe62c27f5, 0x6dabd4d2, 0xed9dfddc, 0x82f06cbb, 0xf92934ca, 0xf3369c38, 0xed22ed06,
+    0x7cf28dcf, 0x19edc5d9, 0x2847efa9, 0x67a6cfad, 0xc35ae0b9, 0x8ef51851, 0x04a73bae, 0xf496c47a,
+    0x6ac68679, 0xa89c5780, 0x6ea90386, 0x336735ec, 0x68c06c2c, 0x676f701d, 0x04511377, 0x5d47a8b6,
+    0x0ff36224, 0x159936a6, 0x1c3ff5a6, 0xb4b16d7d, 0x7b4591a6, 0x76067a66, 0x99d6e31f, 0x44cc1665,
+    0xb353ae19, 0x5142434c, 0x4e733bb2, 0xb74e8b79, 0xfc4f5812, 0x6ac2a12a, 0x5c6b286d, 0x90de1211,
+    0x5ae839f6, 0x96f5e9d0, 0xfa0357db, 0x9f4d6b26, 0x37fac984, 0xf0c26a56, 0x29530497, 0x2106a405,
+    0x9c144609, 0x0340c450, 0x37605de8, 0x8b8332b3, 0xcf41d2d8, 0x35af230f, 0xc815ea0e, 0x2d593005,
+    0xc73bf0c0, 0x56e1ea34, 0xf8c2258b, 0xc0b14b34, 0x333b1eae, 0xc531a82b, 0x9be55b86, 0xe86d662c,
+    0x434d515b, 0x3edd37bf, 0x9ca04177, 0x76b577b1, 0x352b8d6e, 0xb439b8f1, 0xb19aa66d, 0xa90b7222,
+    0xed4671f6, 0x8551a520, 0xf9b1de38, 0x63add4ab, 0x7214859d, 0x7f4e3251, 0x2dac9d6e, 0x9f0a2ae4,
+    0xf2a6fdc3, 0x3f55cf93, 0x55b0facf, 0x45d37eae, 0xbcb32002, 0x013c2207, 0x0155dcb8, 0x5721258c,
+    0xf9223841, 0x4b4c7ccf, 0x4b62cfd7, 0xe2592883, 0xabc208b2, 0x8c3b3c80, 0xd6dc3df3, 0x5a338559,
+    0x01ba0a85, 0x3ce6cfa0, 0x7fa1f24b, 0xe45fbeee, 0xa329cef0, 0x55b5cbbd, 0x848ab3a3, 0x42783337,
+    0x9883b366, 0x413fd616, 0x2160b967, 0x33e93f59, 0x5516bc20, 0xaca0b389, 0x2641b33b, 0x3e2e62f3,
+    0xda4c0470, 0x71474e0b, 0x594c305b, 0xb3774375, 0x097ea5dd, 0x1454ae86, 0x942db873, 0xd0b987d8,
+    0x73afe6da, 0xf70eac23, 0xb02e3596, 0x9f3a3fbd, 0xf85f4ac1, 0xc6589b93, 0x72e26c80, 0x74c504e6,
+    0xeb838d88, 0x08a596b0, 0x44c1fa60, 0x87902b42, 0x0f9cb5f0, 0x50361a71, 0x954c82b8, 0x67bac065,
+    0x6dc7a60d, 0x3b229688, 0x29fb33ce, 0x5c94b381, 0xb72f76f4, 0x8e581ba1, 0xa016a503, 0x1dbdeafa,
+    0xa74628bd, 0xbbdcf296, 0x0a50bcf3, 0xd7cfe934, 0xc22df902, 0x13a20879, 0xcb8df48d, 0x91c2d55c,
+    0xace1b153, 0x51dfde25, 0xfe256160, 0xcb6c1909, 0x7afe486e, 0x11c258b9, 0x66b6be21, 0x2d78a40c,
+    0x8a01264b, 0xfeabd491, 0x3dec49c7, 0xc6128601, 0x2c13a26e, 0x043a01b7, 0xb1f4569e, 0xf25e86be,
+    0x73dbd11c, 0x8fd12cf8, 0x48441f7e, 0x2a22e7c0, 0x50229e90, 0xfe9e813c, 0x68267a1c, 0x6c52c828,
+    0xfe3aed7d, 0x71c31cfe, 0xc724f26b, 0xffdb1c31, 0x94034cf0, 0x9357f22e, 0x088be445, 0x25f86481,
+    0xeca5694a, 0xb0f4f8d8, 0x8a6b7348, 0x48bec48a, 0x0d48641d, 0x628f2ad3, 0x387004da, 0x4c6e22c5,
+    0xe8b4ee14, 0xf3b3a85a, 0xd2290bc5, 0x3b2f1f97, 0x09ffc098, 0x9e6c93cd, 0xb24b5384, 0x195f2207,
+    0xce491854, 0x938af64d, 0x5e36b847, 0x1416e19c, 0xdf50e52c, 0xc8a6a955, 0x4f0a06b3, 0x399c27fa,
+    0x4cd79581, 0x9cc25bf0, 0x1db77c03, 0xef5ffd7b, 0x6bcb8e11, 0xad8339bd, 0x8bb10ce3, 0x8fd44838,
+    0x545869ef, 0x3c84b474, 0x7e02847e, 0x955fa97f, 0xd8afe027, 0xd4edaa8e, 0xbc751cd3, 0x0e5f3560,
+    0x468fc040, 0xca538da7, 0x44ba41c3, 0xdea2a5c2, 0x2e2e0af8, 0x9ddbd56b, 0xa5186069, 0x83f0dbec,
+    0x00a88dc9, 0xabc3e621, 0x88cbdd49, 0x2ba0444b, 0xcf93bb0c, 0x6def8acd, 0x186e7e32, 0x10978495,
+    0x68ab3cb2, 0xb3c69623, 0x9b2b8bed, 0x0cb39709, 0xbf00c0c0, 0x3f685fca, 0xc496e3dd, 0xc0facc66,
+    0x00000000,
+    0xda0aa4e1, 0x57062e0e, 0xd7810b11, 0xc3d317cc, 0x4a9bfbe8, 0x62958b72, 0x9d500e42, 0x81259934,
+    0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000046970851655476664557789611935786\
+                          74054751365097816639741414581943064418050229216886927397996769537406063869952 */
+  { 0x00000000,
+    0x2be52559, 0xa8e2ebe7, 0x826f7ae5, 0x282dd64b, 0x7838fb01, 0x715c8835, 0x98ca5ab4, 0x55ed73fc,
+    0x76e654c6, 0x346bd8c4, 0xed8c86ff, 0xb11f24e4, 0x5ac595af, 0x49affdb4, 0x91604dc8, 0x70a571fd,
+    0xcf69438a, 0x3bca7468, 0x1345cb54, 0x300e8199, 0x015f7049, 0xd29e32eb, 0xb072d198, 0x08175090,
+    0x5e7911ae, 0x0267d1c4, 0xdb0ab9ae, 0xc811100f, 0x2232dba3, 0x73338dce, 0xfcc748d7, 0xedc78ff9,
+    0xedc5ec6d, 0xf99028a1, 0xb776f058, 0x3ad492c2, 0x793cbd6d, 0x2773f55c, 0x5b488cc4, 0xe65d0ebc,
+    0x08b7afc2, 0x2cc73db7, 0xa69e1d98, 0xd6f23411, 0x19025b2e, 0x2939bb3e, 0x6a7c73c0, 0xf9dad21e,
+    0xc4768811, 0x2013d77b, 0x8e5ca2a5, 0xd23df2d6, 0xcb990ff1, 0x7d8abd0c, 0x1e009830, 0x6aac3c43,
+    0x0093927e, 0x9ef55a49, 0x540e0943, 0x844ba419, 0xc25dd840, 0xb7652f3c, 0x7ee61de4, 0xc316b9c6,
+    0x20ae3848, 0x8a355542, 0x3194bf84, 0x982313d7, 0x486e2117, 0x5411416c, 0x1f448e33, 0x52cac017,
+    0xd185d1d6, 0x5ba7fa0b, 0x31de3da5, 0x759d3234, 0xc4575918, 0xdb472440, 0xc2229877, 0x69153aa3,
+    0x35319022, 0x89c90518, 0xa6bd7231, 0xefed52f4, 0xee79928a, 0x8aa87b39, 0xb362f576, 0x8960b093,
+    0x8408c706, 0xb98f9687, 0x6791aaba, 0x489d25e5, 0xc1f38b60, 0x0960f7d9, 0x07a30a07, 0x64b63bde,
+    0x75e836ad, 0x9487200e, 0x6b95dc8f, 0xa7c35ba8, 0x65902720, 0x5c2fc4a5, 0x0db83fe0, 0x25ba248f,
+    0xf714c6e4, 0x07c60041, 0x2346fabc, 0x5ccc48af, 0xbee54803, 0xe0fb08fe, 0x2e0038c0, 0x961d37b1,
+    0xabf40147, 0xbf15974f, 0x9cf4e21a, 0xe4a1ad0e, 0xb8a0aeec, 0x41c4de08, 0xcca1f8b1, 0x0eae4d56,
+    0x1341ccf4, 0x680bafb6, 0x23baa0b4, 0xd1ddc582, 0x7d3b3a69, 0xeea893a7, 0x0ba1a2e1, 0x1df80a55,
+    0x88f146bb, 0xa774e80f, 0x69cef59b, 0x70abb8ce, 0x01571724, 0x7e711f50, 0xbde87e6d, 0x273bdeb6,
+    0x752d0a05, 0x17358eda, 0x5ceeae61, 0x7cd89f09, 0x93349381, 0x99ebd50f, 0xace244c1, 0x7c632f67,
+    0xb833e048, 0xacc66e45, 0xde8aacc4, 0xee4155eb, 0xbdd26468, 0xe926aef1, 0x4fd375d4, 0xcddbdf2c,
+    0xb5493fef, 0x48cc9ab9, 0xd162c5ca, 0x0c75b34e, 0x555dac46, 0xfa031027, 0x3cdf0630, 0xce46c4dd,
+    0x64b464be, 0xb0baf4b4, 0xc2fd41f1, 0x4704b7af, 0x68196b21, 0x2bbbdf41, 0x65bdff2f, 0x44517887,
+    0xc6d2dd3a, 0xbd0fc4b7, 0x7639f401, 0x6932863b, 0x1b4f24cd, 0x58416fd5, 0x14e70287, 0xdaffc409,
+    0x29a0ed20, 0xaab9d77c, 0x4ae4d69d, 0x9527061f, 0x50ed48d2, 0xbe4986de, 0x4b06b996, 0x7f9417f5,
+    0x236e13e3, 0x1220da48, 0xcffead19, 0x7fb8296e, 0x89c06726, 0x9d945d31, 0xe2735778, 0x6ea677e5,
+    0x60370f99, 0xb540876b, 0x428d5697, 0x6903040e, 0x8660a670, 0x04379fc8, 0x7e56b9d1, 0xa8aa3b85,
+    0xb393714a, 0xec808d69, 0xa01c7e7e, 0xb0bd5ed8, 0x8cc676db, 0x413c7b61, 0x084c0b0b, 0xbd88a317,
+    0x3c0432b6, 0x7cf913cf, 0x27dc1636, 0x746c8003, 0x65c9111d, 0xc905ee23, 0x97454b02, 0x9b755e95,
+    0xcf1c7c3c, 0xea810713, 0xe0912594, 0x0fa2d22e, 0x607a1dc0, 0xaea9f974, 0x300aa895, 0x0eccf25a,
+    0x323e5a71, 0x15a31fcd, 0xa81d9f23, 0xb4f0090e, 0xde47d82d, 0x0eea35f5, 0x4ccb0352, 0x27e452ff,
+    0xd4d4eb8d, 0x3ff7880f, 0xc9c40d85, 0xe57cfad8, 0x66da2b1f, 0x56315c96, 0x0499d6fe, 0xe5d6266a,
+    0xf7306815, 0x3c46c3c8, 0x73d829e9, 0xdb91aa6b, 0x24ccc0fa, 0xdc42d7be, 0x76ffd316, 0x717027e1,
+    0x764113aa, 0x0611982d, 0x46738897, 0xf44825b8, 0xaff700e6, 0x692d54f7, 0x49047eb0, 0x045d185e,
+    0xf72b6004, 0x4ae8c00a, 0xde2a0738, 0x8e0f9331, 0x48d4a086, 0x4d954ff2, 0x998214a7, 0x2b57f77a,
+    0xbf2be255, 0x92f5def3, 0x6eb7d2fd, 0xc5bfc31b, 0x7c7e90c6, 0xd9879d48, 0x819effd5, 0x12d33eb9,
+    0xe1d345a3, 0x75361e74, 0xdf06514d, 0x1a480415, 0x7b68d853, 0x2e3a389c, 0xea718f48, 0xa97a0396,
+    0x9e5e7895, 0xf625b1eb, 0xa3f08ec8, 0x0994330e, 0xcbff1933, 0xfd22d7ef, 0xc314c4ea, 0xa2ba69d2,
+    0x7f6cfa30, 0x153415f2, 0xf92b4dd4, 0x741f5f7b, 0x46814e7c, 0x2ea6e090, 0x0272bcc3, 0x69614cfb,
+    0x178a2f11, 0x7bba752d, 0x4d658d3d, 0x2236ed24, 0xe484c662, 0xde9a20cc, 0x222ef01f, 0x522bafed,
+    0x7f674d3c, 0x11d2a129, 0x2953bf49, 0xc88f141d, 0xd2fdab60, 0x6fe60763, 0x3b8645d7, 0xda9618e7,
+    0xdb6c6f98, 0x58d5c5e0, 0x157441fb, 0x9d406b99, 0x04ff1c6a, 0x2fc16c05, 0xbe5e48cd, 0x5a9a81db,
+    0xcbe7a696, 0x207f7664, 0x2af56e84, 0xa24ed3b0, 0x31cce6b0, 0x6a7adf6d, 0xa3399d32, 0xa8bad1ce,
+    0x4c462faa, 0x95e561ed, 0x94330b79, 0x400d64fd, 0x3d18e036, 0x1760dbc8, 0xd336890c, 0x7136c744,
+    0x842ad0b2, 0x6ad01202, 0x95845731, 0xb7e3bb09, 0xc67f3660, 0xce841ddf, 0x74e162f2, 0x31294359,
+    0xdd9ababa, 0x2d40702e, 0x1bc4d038, 0x2016147f, 0x2d67e158, 0x9e8ebbc4, 0xae48096c, 0x200c9e4a,
+    0x96e134b9, 0xf603debd, 0x1f1bebcf, 0x6ce03ae9, 0x223226af, 0xd09a9162, 0x8552cba8, 0xc4b3fb3f,
+    0x94d01abd, 0x7759e415, 0x738b9149, 0x8dfcacbf, 0x2982e5a1, 0xdd685e28, 0x6efd2213, 0x8486bb64,
+    0x11c15356, 0xab2d37b7, 0x81024154, 0xa421f329, 0xaee7ee25, 0x1b0bcc49, 0xc46fdb8f, 0xc843ef3e,
+    0x15ad583a, 0x9d9cceb1, 0x96ae47be, 0x6fafa74f, 0xf8d20bad, 0xdfdd0bb1, 0x9975b0ee, 0x0e8d149f,
+    0x2e005b46, 0x32cc02f4, 0x5056f5df, 0xd8e7d8f3, 0xe586fd11, 0xa5031f31, 0xe6f34472, 0x9647b639,
+    0x59715902, 0x487f5aca, 0x1d9c2b03, 0x886891bc, 0xb0591e1b, 0xe96ec393, 0xec7ad542, 0x7ab5988e,
+    0xc3534762, 0xfd3d84c8, 0x8aba0cb3, 0xc9dda003, 0x74936ad8, 0xce92b741, 0x8fe9b54f, 0x098c445e,
+    0xd156343b, 0x0b907ac8, 0xa543eefe, 0xec0a9f63, 0xcec5d663, 0x7666a64a, 0x11e65dc5, 0x3998f5db,
+    0x5ceac7ca, 0x47bdc192, 0xd1315a8b, 0x532e63f5, 0xa785125d, 0x3091d7f3, 0xd8692c26, 0xc9fa423b,
+    0x9de17e9b, 0x54039b23, 0xe0cc70d5, 0x0743a78b, 0x156ff3a4, 0x89c8bb41, 0x1cc17d55, 0xe38cd2c2,
+    0xa301862d, 0x70e66d45, 0x31e8636e, 0x6132a54d, 0x3a84a869, 0xbfabbbe3, 0x861db036, 0x4085cee3,
+    0x32bc5a80, 0x705609a7, 0xd94680f6, 0x9741ba3d, 0x0cfd6f1a, 0xf7b0f866, 0x7a5baf79, 0xc1984c1a,
+    0xb8c8a07e, 0x30d8c081, 0xed3b43c5, 0x76d08e96, 0x2860767c, 0x25f1608d, 0x6c03c7eb, 0xd7b5c075,
+    0x0b2e61ae, 0x2df05cdb, 0xa9ef6f6a, 0x1525afb3, 0xccda5b83, 0x31947667, 0x1417fdcf, 0xcb064271,
+    0x83d43385, 0xccf2a4c0, 0x82c828d0, 0x9e662019, 0xa5630828, 0xb8f4ef05, 0xda58c328, 0x3bdc8425,
+    0x889db8d8, 0x66b06c46, 0x65dea5f5, 0x4e6e3239, 0x43579afa, 0x8d37c5e2, 0xa696e308, 0x6244b122,
+    0x46498717, 0x33b22401, 0x735ab16c, 0x476532c7, 0x2e7595f9, 0x03412d37, 0x24e55b89, 0x8a070d2a,
+    0x287da8f3, 0x0a6710a2, 0xc07cb824, 0xc997357c, 0x6f81862d, 0x005d11ad, 0xa7b165da, 0x9bf0fffd,
+    0x60c191fe, 0xbeaf61d7, 0xd1d2b409, 0x90bcdd08, 0x007239db, 0x63944de3, 0x8bf85e76, 0x261b5767,
+    0x0b7caa09, 0xdc8c9ba4, 0xc3f69644, 0x25c12ad7, 0xb5aae08c, 0xb1de6750, 0x839a1381, 0x09e31fac,
+    0x9b090fde, 0x701f076e, 0x9fc3ede4, 0x52927523, 0x71a0a08e, 0x94fa3c25, 0x72a09818, 0x0d0fb0ad,
+    0x9336ed40, 0x89e91e30, 0xd5f31966, 0xd9e657f4, 0xc4f2c996, 0x40fb4b52, 0x47d90139, 0x749a0eca,
+    0x66286333, 0x1c36300e, 0xe0ef7c8b, 0x3d6aa7c3, 0x1b913de4, 0xf31187ac, 0x00392f0a, 0xa9ea092c,
+    0xc889b327, 0x01a7fbb3, 0x8b381a77, 0xb75e2ac3, 0x146f14af, 0x614f6e79, 0x42ecfac8, 0x09f5a237,
+    0x34d1d9f1, 0xfdebff53, 0xede40cdc, 0x30379023, 0x019596a4, 0x306e60b9, 0x8aa0af9b, 0x71475621,
+    0x0d9e3e7a, 0x9d414623, 0x0587adac, 0xaf969311, 0x01c06633, 0x506fc09c, 0x9962d911, 0x98467cc5,
+    0x342d0e57, 0x4e9089a2, 0x66d0b7aa, 0x8a9599a8, 0x7cbe2c89, 0x45ae270b, 0x3ba66fe0, 0xa105733d,
+    0x115e344f, 0x6c2d1484, 0xd5a3318a, 0x94121914, 0x173e0238, 0xe02d308a, 0x3caf8cfc, 0xb7c537f6,
+    0x5b637967, 0xf25e5ef0, 0x039d1911, 0x86b28483, 0xb3a6b142, 0xc7475d29, 0x645dad93, 0xf9bd4044,
+    0x3f33ac8f, 0x1e2d8402, 0xbf1aff32, 0x5f6ab397, 0xda989708, 0x3bf45fb6, 0x9bdd16d2, 0x7fa0a5d6,
+    0x51433e75, 0x934bb5d2, 0xd503d990, 0x10578a60, 0x93ba0458, 0xf4ccd653, 0xf6e0b5e9, 0xfb26312b,
+    0xf96dcf99, 0x35d4ab6a, 0x7758c073, 0x37e7bd31, 0xb68cd5e8, 0x9f8a9539, 0xc4a99e2c, 0xff362bc0,
+    0x2c14a879, 0x536dc569, 0x967cc412, 0x9d390cc3, 0x9c35951a, 0xde172ecb, 0xfbac0015, 0xd82563cd,
+    0x107cc71f, 0xd1698d7a, 0x613ee1fb, 0xac5dac59, 0x0df8e3dd, 0x233640d3, 0xe9f4b12f, 0xcfbd6edf,
+    0x25be632b, 0xf822a5f8, 0x0ed060b7, 0x1c0fc64b, 0xaa899b99, 0xc72ce9bb, 0xd842d848, 0xd38a7b8c,
+    0xd3efdacd, 0xb9b31aa3, 0x5a9b6b0b, 0x8b145353, 0x86f575b4, 0x0895b076, 0x54e7065e, 0x084821ed,
+    0xa2894576, 0x843f636f, 0xe5ea9311, 0x70109e00, 0xd6e9bd94, 0xee24bfaf, 0x713ef01c, 0x324a6184,
+    0xdf16fa76, 0x07bdf9fb, 0x4c162b1e, 0x5c71314e, 0x86c2db44, 0x3c94c349, 0xf05f9550, 0x9fb1bafd,
+    0x1946c22d, 0x5f202814, 0x24ea6c1e, 0x31c31a34, 0xc243b4fc, 0xf691343f, 0x6d92ee0a, 0xd94e2010,
+    0x25ab1333, 0xd75bb8d8, 0xa5089bca, 0x91a40979, 0x9f598b55, 0xb512226a, 0x8abbf844, 0x052faa96,
+    0xb14f594b, 0xe1c8eb4a, 0x953221af, 0x1327c2c1, 0x9cd2f6b8, 0x1ab0bde8, 0x6d12c369, 0xfeef2894,
+    0xc669b921, 0x11e5663e, 0xb1725c62, 0x6c1d765b, 0x7e6f4efb, 0x071359a1, 0x82dfc90d, 0x469e7b39,
+    0x4159febc, 0x3fb73ee2, 0xbd6c15d0, 0x80270b5a, 0x09fb039f, 0x2bf102f1, 0x69c689cf, 0x21de502e,
+    0xa9c1962f, 0x253c5538, 0x805f4ef7, 0x795a220a, 0x8521d413, 0xc6eb59ae, 0x9dfd453b, 0x8c82fdad,
+    0x833fa446, 0x9795aee9, 0x922a5bbd, 0x1092b408, 0xb5ca0f0a, 0x3af256f3, 0x2c471d6f, 0xe2fbf2ff,
+    0x78c9ce54, 0xa664142c, 0x0c7784e2, 0x3cfadc35, 0x9a53ecec, 0x097446f9, 0x0f0d5eb7, 0x52605d0c,
+    0xa0bf0256, 0xc4b9b7f8, 0xe812fd1a, 0x33eb9e18, 0x06bf2a0c, 0xdefd9f5e, 0x83c74a89, 0x97312200,
+    0xf7e23d90, 0x4697a7eb, 0xb0feee2b, 0x3bd2332b, 0x0d7e5528, 0xf5d821c4, 0x419da40f, 0x9e8f276e,
+    0x5a770cb4, 0xfacec2da, 0xf7c6821a, 0x09ac6c71, 0xc2e18c99, 0x15bb329d, 0x72a371bf, 0x3c61b928,
+    0x258d523c, 0x129ca1e2, 0xed4c753e, 0xb054e289, 0xdb9ae611, 0x9b4fd2c4, 0xeeed55b6, 0xe3798007,
+    0xef61b6a2, 0x5c72aa3e, 0xbf6851b0, 0xb2f41998, 0x1440630d, 0x3a5d4372, 0xeafe9177, 0x004889b9,
+    0xee1f061d, 0xa0c569b3, 0x4799da71, 0x70c03a1c, 0x96df5cf8, 0xa4a9af7c, 0x470f6abf, 0x63e2194b,
+    0x0622fb77, 0xe4a95cdf, 0xa74ede27, 0x2b038361, 0x09d54527, 0x683cdc74, 0xc5febfc0, 0x7a70313a,
+    0xcdd43551, 0x572b722e, 0x8adcee06, 0x03855bbe, 0xa82b97d1, 0x0eafbf10, 0x2f26da12, 0xfdfe304a,
+    0x704d9b89, 0x9b7b5371, 0xb2df2239, 0x1b0e655f, 0xdfa88854, 0x72fb5b2d, 0xd29d6792, 0x9ba3e319,
+    0x89aec2a1, 0xd84374ce, 0x9923b3e2, 0x568f5876, 0x0c00c98a, 0x7d2b6dee, 0xc44c2f26, 0x9b525670,
+    0x9f518795, 0x4bb7577f, 0xf74a8def, 0x5417db4a, 0x6a22ced0, 0xa6d0939f, 0xc228728e, 0x8e9f7ef2,
+    0xb3906e18, 0x03953a19, 0xe0f4545f, 0xfb32d1e5, 0xc97c1090, 0x2566fda3, 0x4967608b, 0x891a0d6f,
+    0xa334c901, 0x90b7ca56, 0x88475fda, 0x648aabf6, 0x8ed5a8cf, 0x02166b68, 0xb096a2d2, 0x0e494ac6,
+    0x7972e20a, 0x5f4ce6b2, 0x56b86f9d, 0x54b2bc21, 0xf82f348b, 0xaee277a8, 0x602fecdc, 0x9b42ac5c,
+    0x3f6636b2, 0x49878fc6, 0xbcd6a8bb, 0xf6b31fee, 0xd1733fd1, 0xe548b25c, 0x1d456ecf, 0x05c1e5ce,
+    0x3370ece4, 0xf84afdd8, 0x5820ff3b, 0xd14cc066, 0xe68439cc, 0x0ec13572, 0x30b82af9, 0xbf2da75b,
+    0x7aad2235, 0xcefde059, 0x6bcf3da5, 0xba3ac071, 0xa75228e2, 0x26e03aaf, 0x90ffc463, 0x65af2ea2,
+    0xf26c6456, 0x334aa974, 0xdde3c6d9, 0x3a56eb20, 0x3ccf8d53, 0x82d0e6c7, 0xd2572b0f, 0xab315a13,
+    0x50a3c686, 0x3ec49bd6, 0xae8a1271, 0x41251537, 0x272d01d9, 0xde808e7d, 0x9ec71081, 0x56c1b75b,
+    0x6f4dd63f, 0xa59a9f59, 0x68a33058, 0x7db9f8b6, 0x5985e840, 0x065617c6, 0x1e8f1b07, 0xd931c5f0,
+    0xfac8f8bb, 0xeaf20705, 0xdbe78aa3, 0x4d2b5d3a, 0x1da52b81, 0xbb278477, 0x58017a28, 0x7abab24f,
+    0x8db135fe, 0x75837c0a, 0xb58aebd6, 0xe8178548, 0xf7e2daeb, 0x9a1b3a06, 0x260182dd, 0x867e0721,
+    0x0d7c68b0, 0x233e4138, 0xeb55d6bb, 0xa9c3ac5d, 0xec242ec7, 0x9992076f, 0x4126d599, 0x341954de,
+    0xf537be44, 0xef4262a8, 0x117f2fd7, 0xfaa1ecd7, 0xc5a4a8bc, 0x6f1f305b, 0xd755f28c, 0x9f569bf1,
+    0x5aa11121, 0x299f7dad, 0xea396f5d, 0x696a4bc3, 0x33ccf00e, 0xb5d08c6e, 0x40ed7119, 0x95a98a04,
+    0x1a01cc59, 0x10d577fe, 0xae91309a, 0xc7c3afe5, 0x86bab8e2, 0x78e65071, 0x35caa573, 0x380e99ce,
+    0x69b9cbe2, 0xc1d2680e, 0x57c94493, 0x9e3dbd8d, 0xb66941ef, 0xd5dfbaf4, 0x3ec6730a, 0x773d9d38,
+    0x139d6bcc, 0x39bcd21d, 0x4cd539b8, 0x288f2855, 0xa1df73ee, 0x7362617e, 0x4939586b, 0x92cf7de1,
+    0xa17d5e7c, 0x56a2a246, 0x522654be, 0x9fae430c, 0x07edd6d0, 0x30758be8, 0xd9414e5b, 0x90f563d6,
+    0xc967fd6a, 0xdf9901bd, 0x4777e865, 0xc39370d7, 0x39516754, 0xd045c518, 0xb7faa3d2, 0x95670ab6,
+    0x25ad1d4f, 0x72b60c06, 0x9c4e1f23, 0x7fcb3234, 0x9585eae9, 0x41149009, 0x9ade67bc, 0x5e45791b,
+    0x2b20f06c, 0xded89c9e, 0xf9ab87e2, 0x9b66b0a1, 0xab3f1521, 0x27ce30eb, 0x1bc88d90, 0x564ea176,
+    0x754d0afc, 0x382e3d86, 0xd9acf9eb, 0x00cc3b0e, 0x479df228, 0x592dd532, 0x7649673c, 0x10422d6f,
+    0x1431e2fb, 0x606e5cf2, 0xbc79c771, 0x80fb4143, 0xd8f5add1, 0xd95010b6, 0xbb38a0bd, 0x8263ac63,
+    0xc43d9518, 0x523d4bd8, 0x51e30b41, 0xdffe0581, 0xe1b5a3ee, 0x736c2175, 0x9c6b8674, 0xf92996c6,
+    0x9b9e6ae3, 0x7d2b6bbe, 0xb7a8da4e, 0x2cb201ee, 0x02aac8e5, 0x4b16172a, 0xc57dc3b0, 0x9d2ab29c,
+    0x00000000,
+    0x6d055270, 0xab831707, 0x6bc08588, 0x61e98be6, 0x254dfdf4, 0x314ac5b9, 0x4ea80721, 0x4092cc9a,
+    0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000023485425827738332278894805967893\
+                          37027375682548908319870707290971532209025114608443463698998384768703031934976 */
+  { 0x00000000,
+    0x46be508e, 0xc4e99245, 0x5f749d83, 0xd4ff92a1, 0xb02583fa, 0x68a06190, 0xd2265772, 0xabfc23d2,
+    0x29ad38d5, 0xe695ec83, 0x5fa52415, 0x16f797b2, 0x570e2795, 0xb52fdfea, 0xbcf2b0a0, 0x9a99a20c,
+    0xdbbd3774, 0xa9b914ad, 0x45524bc6, 0x7ba63ea1, 0x01898d84, 0x07fef788, 0x47b60cdf, 0x5cfce05e,
+    0xa1f9fdf4, 0x559a56c9, 0xf3f1ef21, 0xaf610ad5, 0x8533824d, 0xd3e73989, 0x635c8018, 0x439b6006,
+    0xe3c6b8b4, 0x73db0a69, 0x369a1196, 0x686b7645, 0x381916ec, 0x8dd4a0b5, 0xbe26ae42, 0x49811fd2,
+    0xe11f05ef, 0xe695264f, 0xf54cc967, 0x381d36bf, 0xca1ed792, 0x4b84d6f3, 0x4a8717db, 0x139e59e4,
+    0xa4f086d6, 0xfa505b1e, 0xbc1e0761, 0xbfdf5dd3, 0xb5bf1e4b, 0x462a426f, 0x71dae8c4, 0x1d6e66c7,
+    0x7537e804, 0xfe88bef8, 0xef37fcaa, 0x0c6fc0dd, 0x7c2c9fe3, 0xcfbe2bf3, 0x46725245, 0x84edab16,
+    0xf33afa00, 0xdba73536, 0xd6cd1da8, 0x06fce7ba, 0xacc5b3ca, 0xff0a2a89, 0xed1a195b, 0xc5f6b40a,
+    0x8801cdb3, 0xb37264d7, 0x9e57b3d9, 0x2a33e212, 0x26354565, 0x05541e83, 0x84ecd340, 0x65dae465,
+    0xc8224822, 0xe546d95d, 0xed09f945, 0xee86e9ae, 0xb6f40ad3, 0xf4888376, 0x7d80dc7d, 0x50335e7d,
+    0x0ee25580, 0xfab74628, 0x353d1e86, 0xbfaea906, 0xbffd68ad, 0xdcbc338d, 0x94bbdad0, 0x2e59f259,
+    0x757c3e8e, 0xaab738ba, 0x67e34e61, 0x75187fc9, 0xca01a125, 0x5c207ad7, 0x41b634ce, 0x84946fe2,
+    0xb5e0ab3a, 0x90403fc9, 0x6d3a2e8f, 0x1f868fcb, 0x782f0019, 0x8c0fb9c5, 0x7a3d8bfb, 0x8101550f,
+    0xa6545e29, 0x2f18c2f4, 0x164e74d5, 0xfbf0aaa4, 0xdce77e41, 0xabb1b799, 0x23ebe2e0, 0x3d7f7d05,
+    0xd65312b1, 0xa707ac15, 0x043ba82a, 0xa5a06d7d, 0x2b001dbf, 0x09b78008, 0xaf6a3455, 0x2e3fc21d,
+    0xad0271fa, 0x8bf8453f, 0xf7ee34d1, 0x4e5a065e, 0x81f1e738, 0x808ed7a6, 0xf2c28cfb, 0x6f1c281c,
+    0x32deebe0, 0xfc2acf29, 0xc32e83e0, 0xea8721cb, 0x96e58cb7, 0xba731025, 0x424cbe6c, 0xd8ae32c2,
+    0x0fd8bea1, 0xc4e60a34, 0xf01782cc, 0x68404bda, 0xf4091464, 0xc3d31041, 0x1ae9c9eb, 0xffd683d7,
+    0x9b9c20be, 0x7d27a302, 0x726958ff, 0x7aadd92b, 0x65dc195c, 0x9f1bff2b, 0xaf5c131e, 0xc49dae83,
+    0xb91e0cc2, 0x2a1f5d8e, 0xf6fd00a0, 0x07b3fdb0, 0xf7c29fe3, 0xf4605eef, 0xe54f246b, 0x0bdee139,
+    0xc467bc4a, 0x864401ee, 0x4e1801fa, 0x2d772321, 0x46af8e08, 0x491c7f46, 0x5ff10a80, 0xe1c16b5f,
+    0xec0d7d12, 0x729ded5e, 0x7f65a72f, 0xa8680c46, 0x61942982, 0x4ac451dc, 0xe5a3cd6b, 0xff2ead2f,
+    0xaacb9ab7, 0xf1476f51, 0xa5ad57ee, 0x83efc45b, 0x7884f83a, 0x5cf10bbc, 0x7aa16a7e, 0x2f36b199,
+    0x17b0f7c8, 0xec94ec59, 0x8bb3aab4, 0x3d5d1d7c, 0x0a72f519, 0x66cd611e, 0x00c43be7, 0x22fddb13,
+    0xc70e5502, 0xd3067ee0, 0x7b463c5b, 0x7190afae, 0xd6c1ffb7, 0xcaabdd39, 0xb0df068b, 0xdc9c49dc,
+    0xa0a33059, 0x5163181b, 0x3c264fc8, 0x059b9e7f, 0x31e2821f, 0x9a32bd93, 0x848e29b5, 0x16362bdb,
+    0xe42654f2, 0xeb5214fc, 0xcb1f6e51, 0x3e109402, 0x927b0002, 0x227e52c8, 0x8fe3e960, 0x4dbf93a3,
+    0xf5c62409, 0xceee90c7, 0x5fd6f992, 0x83a4f2d4, 0x150717f4, 0x8e635a24, 0x89cedc01, 0x16f6a623,
+    0xd67e1bbf, 0xa98a3050, 0x37b263e4, 0xc1adebce, 0x1cf9cad2, 0xf60f948e, 0x48166713, 0x27339cd7,
+    0x6943d994, 0x15b4909d, 0x8b9aa20c, 0xd95d6495, 0x7bd2858d, 0xa15bafb2, 0xa8eff956, 0x3082028f,
+    0xcd738173, 0xf7b83185, 0x2f78732f, 0x4b278b96, 0x050828cf, 0xa723fbf9, 0x22e9eb7b, 0x4a8bbe8d,
+    0xf5f9b74c, 0x7e8312be, 0xdec6786c, 0x407d66d4, 0xdcfd2ed6, 0x5363b4c4, 0x15c63751, 0xaf95ec5a,
+    0x2599927d, 0x9dff663f, 0xcde52879, 0x931f90b6, 0x9a7960a1, 0xc5080b98, 0xeb106064, 0xb8d7074f,
+    0xccd9e3c5, 0x1fbb335c, 0x45271dd1, 0x9b6207e4, 0xf27939b7, 0xb30bd63f, 0x3a0deb2c, 0x0aa7d639,
+    0xf7f716f2, 0xae29968d, 0x36412e99, 0x07fd277d, 0xc645a189, 0x78c7ef2d, 0xefec04a3, 0x50e0d934,
+    0x83c6ae5b, 0x43111cc7, 0x7e9dec60, 0xd54aa039, 0xe6c991d3, 0x90163477, 0x53a18262, 0x733b1298,
+    0xcdaba404, 0x4418de16, 0x02e4db3f, 0x13cd2b51, 0xb512ae9c, 0xc45b132e, 0x399e308e, 0x07752985,
+    0xe75a39ff, 0xe347c982, 0x2cb03607, 0x8606b0d6, 0xc77ccf3a, 0xef02469f, 0x00fc9fe2, 0x22f882a6,
+    0xd2058738, 0x5b57eb4c, 0xfedcc940, 0xca17ca53, 0xb0680e69, 0x7330f25f, 0x1a68f0d6, 0x92d6774d,
+    0x5ba57393, 0x4dab80cc, 0xf163fc49, 0x7a06d8c3, 0x79ebc1da, 0x17ca9eee, 0xc39d3113, 0x1a06f92a,
+    0x92266254, 0x760dc369, 0x22be0abf, 0x30e9501e, 0xc8c8eea8, 0x3f9566ef, 0xf0fda65c, 0x8d8b1907,
+    0x302a674e, 0x9820d993, 0xb2d8bdea, 0x3bcd2420, 0x5a1efa6d, 0xbbace3dd, 0x08ca9e2c, 0xba2442ec,
+    0xee3d2cd7, 0xe60e6047, 0xa8105f92, 0x50b26200, 0x96669afb, 0x8ede620f, 0xe6fea12e, 0x09dc76fb,
+    0x8f4e671c, 0xef8f4ad1, 0xf9dd6c83, 0x9f25f21f, 0x7aa07cd1, 0x24054a95, 0xca6dac3a, 0x23d52609,
+    0xdd654b30, 0x79b3f8d7, 0x4edf103a, 0x026cb9cd, 0x11b3b6e6, 0xf896d15e, 0x91e74bcd, 0x84b54c9b,
+    0x6cbe5332, 0x35e35751, 0x2e25f41e, 0xfd2e6d3e, 0x4c690a31, 0x767de150, 0xe5ee2a30, 0xa0d7b964,
+    0x47f8ebe4, 0x3ed19619, 0x8fb4d21c, 0x915fe1b9, 0x156b8084, 0x3376eac4, 0xd200a53c, 0x6b4a8f0f,
+    0xba345964, 0x3c6c6bb5, 0xff019160, 0x1674f0a6, 0x4c1cc1f7, 0xe6a4d083, 0xc6b9275e, 0x5bb977cf,
+    0x65b6fdc1, 0x899f282e, 0xd1da11e6, 0x9ae061e1, 0xf9d1263a, 0x70ba6875, 0xbb0a231f, 0x49734bd6,
+    0x63737e8e, 0x58faf353, 0x467d0332, 0xb3fddf7e, 0x670501e4, 0xbeec34f7, 0x5cd49d33, 0xfd439bd3,
+    0x9eeb800b, 0xd3bd0401, 0xa4ab40fb, 0x6720e235, 0x18069384, 0xdc829445, 0xff97bd1b, 0xa7874143,
+    0xce54f626, 0x42c7190c, 0x56fe88e7, 0xf5bb0a62, 0x4f4913e3, 0x815c6f04, 0xc6abd661, 0xd5343556,
+    0x89012959, 0xa952356d, 0x7aa5feb0, 0xfd5c3288, 0x5310d6dd, 0xf04e02c0, 0xd1c6e002, 0xfbf21f96,
+    0xcf92e32e, 0x9b1fc3b2, 0xc7c08545, 0x0d7059bb, 0xcf83241e, 0xb91b9b22, 0xdd27e8a3, 0x73ba7a52,
+    0xfb1a98ca, 0xd40f4060, 0x1a30e3f1, 0x418fee10, 0x4e09c8f2, 0xece1b656, 0x2aa3755d, 0x5d781a13,
+    0x8aa86148, 0xba4648f4, 0x80919e2b, 0x273e1ddc, 0xb1c6d9f2, 0x9c1b1857, 0xd604f8c2, 0xe13b1952,
+    0x6223a6a7, 0xf09c86c1, 0xddba6c3c, 0x34d3f84f, 0xf9d425bf, 0x63201962, 0xa5ec3599, 0x313a39d2,
+    0xc118f254, 0x1a292a34, 0x90375882, 0x2cee4bdb, 0x2132fde7, 0x711bd2f0, 0xbc1726b6, 0x3f4e0294,
+    0x2671cb09, 0x09a4e42e, 0xf5861e50, 0x5391756e, 0x29f52857, 0x3326a4cc, 0x6461ab40, 0xe88be7a9,
+    0x458e2bfd, 0x1f0f0e66, 0x87c85a98, 0xcf520f6e, 0x77138278, 0xd1e79590, 0x6a965201, 0x5501790b,
+    0x76d494d0, 0x9eb7e6fb, 0xc6ab9dee, 0x09e60cfc, 0x37ece96b, 0x46e441e5, 0x783e42fe, 0xa0283523,
+    0xe4cb0b69, 0xead8e077, 0xf6e0911b, 0x348a4e52, 0x2ec3e715, 0x7a365a12, 0x3667842e, 0xa09b6b9b,
+    0x38718874, 0x633ef374, 0x3231196b, 0xebc93ace, 0xa07287c1, 0x8c091a48, 0x2a53bc23, 0x64d73979,
+    0x8ba6c7b5, 0xfe6e1cc2, 0xccc2b489, 0xe5ba8236, 0x1bd0898f, 0xd6469582, 0x5e3fe257, 0x098a9a0d,
+    0x28a94b3f, 0x25ba25b6, 0xf8870f59, 0xd5f5a3a2, 0x0871412a, 0x27050636, 0x9482ee46, 0x3bc09d30,
+    0x68fcbdb1, 0x906e641a, 0x92a7abd9, 0xaa226c9d, 0x1f4f85e0, 0x5898f9ab, 0xe192d8c6, 0xb5805e5d,
+    0x3b7c5dac, 0x69b6b238, 0x01e37e04, 0x1fd2ec7b, 0xd06e671f, 0x36e92de0, 0x967b5f8c, 0x542e887b,
+    0x34d0a90f, 0x0091932d, 0x4ff013c6, 0xdaad5963, 0xe054ee9c, 0xdd94d951, 0x942ab604, 0x4c35903c,
+    0x9f65fb63, 0x6f7486ae, 0xdb1bd7dd, 0xff5fd5b3, 0xd6cb2447, 0xcef4edb0, 0x0516a0b4, 0xfe2d83d5,
+    0x54f9ff02, 0x054aa758, 0xb1534a95, 0xe397f2e3, 0x1d849e30, 0x114ff26a, 0xca52d4e0, 0xb1658fc6,
+    0x623c684e, 0x4893afba, 0xfbf3b513, 0x83c0a5f7, 0xa072d91c, 0xa1c2541d, 0x039c90dc, 0x6f8ceb9a,
+    0xe059a32c, 0x6e8c69ba, 0x2a523cbe, 0x2add9638, 0x331f1d46, 0x700290d2, 0x8ef89871, 0x8508462a,
+    0xa31ceb08, 0x5ff845ef, 0x73e2965b, 0xe7e9ce55, 0x299b4e8e, 0x3cde1653, 0x3cbdd833, 0xd99ba700,
+    0x9c79680c, 0xd9e229a5, 0xfcc3bcf3, 0x1c5d9fe0, 0xf24d1cba, 0xbada9534, 0x1b7420e2, 0xcece6549,
+    0x315cdb04, 0x0ea23b13, 0xef7f3ab6, 0x21ccfb6e, 0xb0b14c76, 0xc78ecdcf, 0xf3c5b977, 0x21586daf,
+    0x44d0de5d, 0x5e5fbe3e, 0xa211cc78, 0xf26d3d00, 0x5897366d, 0x274ad81f, 0x91942722, 0x402946eb,
+    0xadbf6688, 0x7b386d74, 0x73dc5a2a, 0x221a1410, 0x795e1a05, 0xf1da3879, 0x125ef6a2, 0x7773ece3,
+    0xc370404c, 0x7594b9e8, 0x3a6a2930, 0x12193599, 0x713a75e4, 0x4d088427, 0xcb6f0fab, 0x4580b705,
+    0xa137af36, 0x14356efe, 0xa4585f1d, 0xd4b7b6c5, 0xdfa20a3c, 0x7b0f192f, 0x0f232b04, 0xa843047f,
+    0xfa02b039, 0xf902bc71, 0xf1ea4f02, 0x721c2a3b, 0x216372fa, 0x52383e43, 0xdc117e47, 0x68e21bf0,
+    0xac54b023, 0xbd25733c, 0x93ca3dca, 0xfb7c68c1, 0x092081bb, 0x90b6b5b5, 0xa634501e, 0x80c768b5,
+    0x57942a57, 0x33895aa9, 0x73fb6dc7, 0xc4ef478d, 0xc99dd450, 0x2640c6f0, 0xd2a63149, 0xe38f5bc8,
+    0x1fd7a1e9, 0xbc0665a5, 0x407955cd, 0x68e3b80c, 0x9194adc3, 0xb14aaf31, 0xc86219f4, 0xa911e5d0,
+    0x960e22ad, 0x622355a0, 0x55f824c3, 0xbba1491e, 0xe7b1dc92, 0x45744773, 0x9bcf53b2, 0x487de6d2,
+    0x0839f094, 0xd5e3648c, 0x492f2768, 0x67defded, 0x0567aa99, 0x804757f1, 0xe8d54eba, 0x496380fe,
+    0x263590c4, 0x828953a4, 0x7d92d7bf, 0x121f8f6c, 0xcec0cb7a, 0xd99da113, 0xdfadd40c, 0x6252a4c3,
+    0xadbcf264, 0x5ae68ff2, 0x5d815645, 0x009b5050, 0xb4767515, 0xa25c77cd, 0x15d7d917, 0xab972582,
+    0xacab5c6d, 0xc41a66cb, 0xf6015129, 0xd0c40dc8, 0x6de40151, 0xa98668e7, 0x0d655135, 0xbd3882a3,
+    0x05c2cbeb, 0xb88c57b5, 0x4a0df899, 0x9694ef65, 0xdde76e42, 0xfce8ebe0, 0x73f51b22, 0xb084177b,
+    0xccf3a2c2, 0xa86150f3, 0x4c7250e6, 0x4ad69623, 0x854e3b49, 0x5e7dce35, 0x3e969690, 0x932b8822,
+    0xde803224, 0xa7b6ac11, 0x7c02d726, 0xf17fb7c3, 0x23d1f7ae, 0x5747af06, 0x768e559e, 0xcef41e82,
+    0xe57adb42, 0xedb7e5d7, 0x53215af8, 0x334d9c06, 0x5c4ac4c8, 0xfe62052c, 0xe7c01999, 0x6830c8bd,
+    0xb03f268b, 0x158d93bc, 0xe219effe, 0x0b4d6210, 0x1ecd79e0, 0x2d68e54a, 0x5f672c37, 0x39713245,
+    0x176407ff, 0x36fc3f47, 0x96412c8d, 0x4c4597c8, 0x1d5a9f61, 0xb1e12d42, 0x30deeb1b, 0x2e42b583,
+    0x0b473921, 0x59321a1a, 0x8a396d70, 0x05c42c1b, 0x3a24da0e, 0xb8543147, 0x386690a9, 0xc91e630e,
+    0xe1c3263d, 0xc4c6a37f, 0x6bd28505, 0x4b4293b6, 0x6842d0c7, 0x5b183fae, 0x11f3921f, 0x3eb2fcd1,
+    0x5360a7c9, 0xcb35755d, 0x8bf835ae, 0x588ec6b0, 0xb1a61a2c, 0x8acf4fd2, 0xe93e99aa, 0x43f786fd,
+    0x662ab0e1, 0xbe64592f, 0x2b1cef81, 0xab5c722b, 0x16286f11, 0x50c5ead5, 0x3af46624, 0xc6c4386b,
+    0xd0df868d, 0x4c3e70ee, 0xe3ce5b02, 0x788018a1, 0x0eda754f, 0xc05ddf55, 0x18b185de, 0xc82be8bc,
+    0xfb4a5375, 0x03e6ff8c, 0x2330ef3a, 0x59a32105, 0xceae5e98, 0x6bba0ea4, 0x4e5515c5, 0x7ddf69d8,
+    0x1e34ccee, 0xa05ad643, 0x01c1ed82, 0xe4d0b5e7, 0xe4884c7c, 0x6b97c505, 0xdcb4a8a2, 0xa715c2cd,
+    0xd7332c25, 0xbf09e980, 0x72afd3b3, 0x0e119f6f, 0xcbe42304, 0xd75352fc, 0x28cfb097, 0xd41bcd77,
+    0xae44564b, 0xde7d98bc, 0x12be8377, 0x0d765420, 0xe4d8bedd, 0x70417be6, 0x3cf0df8e, 0x39025bb8,
+    0x26b533c4, 0xf2b69d01, 0x5d6d8945, 0x4db03a1d, 0x71fad118, 0xe981fa20, 0x77e45902, 0x6581a765,
+    0x2ea7b9ac, 0xa3baa3a5, 0xa295df2d, 0x83e6f969, 0xc4b33e05, 0x679bbbab, 0x70ce9b07, 0x2a451110,
+    0x20942548, 0x28d7d691, 0x3ac2d6b7, 0x5331c6f6, 0x06b3fb41, 0x70de72a6, 0xf1595767, 0x42d1e62b,
+    0x554fcdc8, 0xbd5bcae0, 0x9ffa3c82, 0x24c0e475, 0x4d09bb07, 0x21fa57ad, 0x75860af3, 0x6e40c18a,
+    0xbe9638e9, 0x2ebbb1a2, 0x498fad5b, 0xf8be87dc, 0xe9b4a13d, 0x5032e8e0, 0x7ec7f80c, 0x66759f77,
+    0x2f43c721, 0xe7d15daa, 0x1fe342ff, 0x40a1af9f, 0x135e39b9, 0xe3714011, 0xd6e48507, 0x793bd7dd,
+    0x3ac96014, 0x4495de4d, 0xfab668e3, 0x0c10e6dd, 0x257ee4a3, 0x48b9bfa9, 0x610b2c7d, 0x417dcb6a,
+    0xc976cbc1, 0x3c66cccc, 0xe54b518c, 0xe3bd17ba, 0x9531f61c, 0xdbc4080b, 0x9acfa812, 0x2e222fe2,
+    0xd4c1ad12, 0x50840a79, 0x41fd078b, 0xbb50362b, 0x01545ea7, 0x5e21c497, 0x571e3567, 0x13f1e00c,
+    0xaa41ebe5, 0xb4132f42, 0x8413c77c, 0xa0a99e11, 0x14804847, 0x0d4a1668, 0xca1188b6, 0xa28ad7b4,
+    0x5266435f, 0x306db0a9, 0xaed3a5d4, 0x35077893, 0x252a669d, 0x78b84a5c, 0xb486956a, 0x8c6893cf,
+    0x5640f407, 0x30475242, 0xb22e4dec, 0xed8b3ed8, 0xc9434239, 0xb3cc60a9, 0x1f692cca, 0x12d5be81,
+    0x0eacba79, 0x2304b9d5, 0xe934e48f, 0x6db696c9, 0xf241e3ea, 0xd765eefd, 0x828567d4, 0xb0c104ce,
+    0xbbb1b2bc, 0xf46cb607, 0xf66a55bd, 0x48575c4e, 0xe58119c2, 0x2ddf7762, 0xf26e5e4f, 0xc7ad1b07,
+    0x0ceda7c9, 0xfb28d923, 0x260f5c9f, 0x06dbcce5, 0x639ab745, 0x46a53ef6, 0xcce51f29, 0xaa3bb4e8,
+    0xb7fc0555, 0x274c2c86, 0x1890c33f, 0x3a39de55, 0x1a6d5564, 0xbb4ed947, 0x2e66ebfa, 0x543001ed,
+    0x26f90537, 0x19bf3ef4, 0x3520b824, 0x7454a950, 0x30ea7793, 0x39e1528f, 0xaa1c2e72, 0x632f066d,
+    0xc63e0463, 0xc22ec23d, 0x6c123045, 0xfb60a085, 0x1067f782, 0x9737bb0e, 0xd3ef7d91, 0x8ba6d668,
+    0x65500161, 0xcab25c73, 0x241bba89, 0x30543610, 0x4c3a0cad, 0x98e06fe6, 0x05d942e7, 0x2763d17b,
+    0xf7b169f3, 0x49a3a538, 0xd5532e00, 0xb5e66d90, 0x072e7e18, 0xf2e99951, 0x2128c2dc, 0x210bb066,
+    0x7fa0b09f, 0x09f33e58, 0x40584a84, 0x4b7745b2, 0xe675599c, 0x521c292e, 0x208cc502, 0xc3cc2e33,
+    0x0d532feb, 0x878cea17, 0xf9d86aa6, 0xc15220a4, 0x64cda81e, 0xe95c53d2, 0xbd6197b6, 0xc895fca1,
+    0x00000000,
+    0xb682a937, 0x55c18b83, 0x35e042c4, 0x30f4c5f3, 0x92a6fefa, 0x98a562dc, 0x27540390, 0xa049664d,
+    0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000011742712913869166139447402983946\
+                          68513687841274454159935353645485766104512557304221731849499192384351515967488 */
+  { 0x00000000,
+    0xcfcf9228, 0x21107214, 0x19cee4b9, 0xbf9c4d76, 0xae15b9be, 0x84fc4024, 0xb50dfc9b, 0xd2758dfa,
+    0x20ca566c, 0x1bb61d21, 0x3c4e8674, 0x43ad260d, 0x573c4957, 0x335aa3b6, 0x60fd548d, 0x38fb5c49,
+    0xe53b1a84, 0xaef8a0f8, 0xea821b92, 0x453d37ee, 0xfadb9786, 0x2ec7cf94, 0x1e15b6f0, 0xa113471c,
+    0x2a1add58, 0x1bb3b926, 0x5895b425, 0x951235b7, 0xa72765e7, 0x5e6cae9a, 0x13d809dc, 0x01c9dbba,
+    0x7ee069dc, 0x665fb14f, 0xbcb0a8e4, 0x70c5085d, 0xeff8c032, 0x9762dc1a, 0x99b907c3, 0xbf2842e1,
+    0x29f2bd2c, 0xc82f2869, 0x93c38a4b, 0xfbee536b, 0x46d853cc, 0x2acc7b58, 0xd318665e, 0x73dc0caf,
+    0xab18696a, 0x5317f2b5, 0xf1e0aa1a, 0x7e121088, 0xf65a1661, 0x749d32b6, 0x655b6d5e, 0xa3da1c8e,
+    0xba773eb2, 0xe6d11bc5, 0xa6cd1cf7, 0x86fbbb85, 0x35da19d9, 0xd042812a, 0x7746963c, 0x6d7d3624,
+    0xf1433418, 0x5f69479b, 0xf528846b, 0x9a894be6, 0x307ef9f6, 0x01f2bc76, 0xc0213abe, 0x9c04cf99,
+    0x33604bbb, 0x9c837a4c, 0xf6482764, 0xd5d3c868, 0xf35a3a4e, 0x883aeea5, 0x87d74fcc, 0x5d907971,
+    0xaeec13f5, 0xd960fd55, 0x131e65a9, 0x8daf41fb, 0x9134c5a3, 0x8183653f, 0x0b55611a, 0x6cd79402,
+    0x388b98b6, 0x28c4b08a, 0x51aeeba0, 0xee44fef7, 0x7eafdc07, 0x2de8a902, 0x92b82661, 0x270ec14d,
+    0xcf480616, 0xad65f535, 0x23f1cc9f, 0x0c2f3762, 0xd0fc1ec2, 0xe2a3ce17, 0x3e6f8813, 0xb194ef27,
+    0xcecaead8, 0x21e043c9, 0xa29772fb, 0xd0598720, 0xafa97c44, 0x2162475c, 0x3a0dffeb, 0xe939d52e,
+    0xb2b39122, 0x9d17e7f4, 0x16ec61a0, 0x6217299e, 0xae536fee, 0x84a96f78, 0xfd68255f, 0x724c58c5,
+    0x83451db9, 0x8673a0f9, 0xa895a33b, 0x43d8d175, 0xc13fa9eb, 0x8ddaf30d, 0x409492ab, 0xa5224f3f,
+    0xe1b6965d, 0xd07ecb06, 0xed8bf8e3, 0x083f2e99, 0x591aa994, 0xc626b7b0, 0x6f6258c4, 0x3f881f61,
+    0x8f7921a0, 0xa99e6773, 0xc5d1f1a0, 0x25364c20, 0xf1097d2a, 0x6418a359, 0x1662e0bd, 0x91e30e2f,
+    0x9f1b1971, 0x3cad46a3, 0x3221acde, 0x32cef30e, 0xd62900b7, 0xf3a836ae, 0xa9712dd6, 0x13aa6403,
+    0xf8ca81bf, 0xc4a6594a, 0xf844e277, 0xaadd278e, 0x0171672c, 0x5cad2af2, 0x7eff5d8d, 0xab5d99eb,
+    0x706b908a, 0x2d4c563a, 0x4f684410, 0x45cd6e96, 0x7a5aa931, 0x6622df9e, 0x1a814534, 0x6c5aab80,
+    0x3c94515b, 0xfd521184, 0x22b54400, 0xd8892cbb, 0x137cca5a, 0xbd51a018, 0x3e8b7e38, 0x9b5797b2,
+    0x65e4adfc, 0x510b6ad4, 0xbe5c6f45, 0x622b096c, 0xc75041dc, 0x043fe59b, 0x24696e02, 0x1b469c99,
+    0x6f1d2047, 0xe0c29933, 0xebafe510, 0x00301c8a, 0x74565b03, 0xdc00a83e, 0xed0895e2, 0x930a29fa,
+    0x2719efc1, 0x0cc7bbe0, 0x7dcc8b40, 0xa96f1def, 0x00493d71, 0x1dfcf54c, 0xefeb9a16, 0xa4675d94,
+    0xc79e9709, 0x94ac8a05, 0xba8a5ca4, 0xba33d3c8, 0x005fecec, 0xcd1471cd, 0xb27e1c69, 0x50eb0660,
+    0x38e52079, 0xa4563760, 0xb8ba4dbc, 0xaf65e357, 0x4e988ce4, 0x0f68d38a, 0x4ab157bb, 0xb02fa575,
+    0x32688354, 0xb123eca6, 0xeb6c13bf, 0x68088241, 0xb92c567b, 0xf8beec28, 0xd7f11d82, 0x68906a9f,
+    0xef9d8f34, 0xe03ed112, 0x75258eaa, 0x57464b22, 0xcb0e8a51, 0x042c5bcc, 0xa30e3537, 0x4481143b,
+    0x5d8d5002, 0xb531789f, 0xf7c8c42d, 0xad8725a3, 0x158307a4, 0x9656fa0d, 0xf74ba1a2, 0x4d463158,
+    0xeb761b73, 0x3970430d, 0x6335aa8e, 0x7d681f1b, 0xbb2dc0c2, 0xb9c9ecdf, 0x858428cc, 0x7d1f6eee,
+    0x7897bfbd, 0x74eeb84c, 0x2dbe4586, 0xba195ad3, 0xc3a876df, 0x952dee8c, 0x80c9a464, 0xb0acaa42,
+    0xcaff0196, 0xf220b603, 0x8acdab23, 0x9918c4c7, 0x836eef65, 0xa4447f2e, 0x2901c79f, 0xdabe4b82,
+    0xa0d5ecda, 0xa12d2fe7, 0x81afe24d, 0x7b5c6401, 0xba78f740, 0xdde49f88, 0x24ad9f88, 0x279ab3cd,
+    0x540f782e, 0xd360cee7, 0x15b59b1e, 0x940c923a, 0x89b5b63f, 0x72433a6c, 0x152c3880, 0x0f396700,
+    0x64e36366, 0x2c2a4c24, 0x9e5fe979, 0x9b04c826, 0x6e8ab0d7, 0x4d0028be, 0xbe81b95d, 0xb85700d8,
+    0x64a709f3, 0x12aa48ed, 0x67d13912, 0x8bd8fe5a, 0x980d6e2d, 0x32ae09d5, 0x56a25c7b, 0x9767b848,
+    0xd0217962, 0xa5d34cca, 0x1abd1fc7, 0x7ea8e8d8, 0x9b48e243, 0x260e6976, 0x6f681c12, 0x1d257ebe,
+    0xcd9e9f43, 0x43d5f103, 0x0dc5913e, 0xc23ee9c2, 0x73bd48a8, 0x91f1a51f, 0x0c483ee9, 0x3c55977e,
+    0x245b6a30, 0x1ddc2235, 0x011e028b, 0x75a6e752, 0x20df4c8a, 0x257dfa14, 0xf351bead, 0x0a1ad5c3,
+    0x798fe08c, 0xdd3795a0, 0xa684d1bc, 0x28fdfd70, 0xc2b5f2de, 0x03825619, 0x9dcd5e5f, 0x2c8eb2b2,
+    0xc53de0c1, 0x0b3b37ee, 0xe243e2c1, 0x55d27482, 0xd267ad0c, 0x30b49313, 0x41fda0dc, 0x62c04cf1,
+    0x49528c08, 0xa19aa13b, 0x6deb4b05, 0xa14c2e73, 0x9397c5d4, 0x284849a7, 0x5467ed12, 0xb1b4f51c,
+    0xe71d851b, 0xd6a072ac, 0x26358d8c, 0x86419c30, 0x93aa91d0, 0xa6651681, 0x6242e414, 0x96b45740,
+    0x21ef83fb, 0x565a619b, 0x1df15d0e, 0xf740c42c, 0xdff0ac1f, 0x086a8ff8, 0x682b8729, 0x1046872e,
+    0xfee0a082, 0xe22dfcf3, 0x53dfebf0, 0xa87acf7e, 0x1908bfdf, 0xeb8c914f, 0x72b5183c, 0x7c3bce56,
+    0x616a4880, 0x038d0cab, 0x48484391, 0x2c75467f, 0xd449be8f, 0x79a2bd0a, 0x5a1988b8, 0xfa5bcae9,
+    0xafd3d9ff, 0x8233ea68, 0xa6e9f73e, 0xd7cff7b2, 0x7ff07b78, 0x398e43ca, 0x31f9902e, 0xa49b47c9,
+    0xc66f09fc, 0x5968da49, 0x8f4da70a, 0x65111210, 0x67128052, 0xc94cc15b, 0x4751c6d1, 0x3062f68a,
+    0x9b0c5e71, 0x3a835bd2, 0xb71ab141, 0x4afc7c2e, 0x3a016f09, 0x5bc1d95d, 0x909be560, 0x27b75900,
+    0x5b9e5372, 0xd19cea33, 0x2b2e629d, 0x4cf775ce, 0x431fd6de, 0xd11b4661, 0xf3f92ce9, 0x1472bafc,
+    0x40b4c19b, 0x52768a36, 0x8c42bdb4, 0x5589e722, 0x4ff9d960, 0x3400380b, 0x1a2d8bf9, 0xa019afc1,
+    0xf899b503, 0xac472497, 0xe25e1494, 0x7a2be9e6, 0xd9c18284, 0x6db9a52d, 0x3895241e, 0xefb0748c,
+    0x9eb8d3cd, 0x35104f6e, 0x103f57c0, 0xabdea393, 0xb904eb17, 0xdf6af016, 0x7a64a91e, 0x0824adeb,
+    0x5a972f9c, 0x0df55599, 0xaa67bdf2, 0x9b208718, 0xcdab07ed, 0x19e80bb6, 0x85e8b06c, 0x2e79d251,
+    0x32fce6b2, 0xeaf279d1, 0x487f3595, 0x53d125cd, 0x0f44b2bc, 0x15028a2f, 0xdea0c334, 0x36aed4a1,
+    0xb7c71233, 0x4fe4b977, 0x6de0ca38, 0xad5497fa, 0xa4522bd0, 0x588d37e3, 0xe555f38b, 0x10cfae31,
+    0x6d8962e9, 0xe35e1d9a, 0x79e42c4b, 0x3f9157c9, 0x6a210904, 0xfebfb56e, 0x484a8ac1, 0x8b96ebb4,
+    0x8ccc9bcd, 0x3042410a, 0x55199d9e, 0xdcc0c227, 0xd5877225, 0x3b0308b5, 0x6ae6fd07, 0xe00633ba,
+    0x858cb14b, 0xf9df136e, 0x4fbf1e2a, 0x1b48c56f, 0xd71bc97d, 0x9f003a87, 0x2cb82ac9, 0xe89932ef,
+    0xa9a2cefb, 0x781e3f24, 0x84363fdd, 0x248f0eba, 0x67c5b40f, 0x356c2de4, 0xd4e9bc94, 0x99c419e4,
+    0xce375410, 0xc8a868c7, 0x5d0e7f79, 0xd4a81670, 0x0fa6a686, 0x602bb8ac, 0x6f02c236, 0x43c36b57,
+    0x9522e982, 0xec20bba1, 0xa85abdf9, 0x3d0a51ee, 0xb329b345, 0xab2c778b, 0x944edee0, 0x7dd41e07,
+    0x6782a4dd, 0xcabb1260, 0x48210f2b, 0x6f70fb7f, 0x635f8e85, 0x1fe7d2f8, 0x52c1161d, 0x0543397d,
+    0x9c4d4148, 0xcd9504ac, 0xffcbd6e4, 0xf53ab4c8, 0x46572b45, 0x5b195dd2, 0x5f2a9b83, 0x4eaaf68d,
+    0x54fcb6a2, 0x0ca9add9, 0x0e91a910, 0x4b6513e4, 0xf2560516, 0x563c84fc, 0xaf8babbc, 0xdea978ef,
+    0x9037a929, 0xdab1a8bd, 0x7c40fd75, 0x07f62829, 0x3ec69993, 0xd3d3a244, 0x1a07e34f, 0x8a1df70c,
+    0x8296f70c, 0x7e794565, 0x3fb77d27, 0x84ff0bbd, 0xec8a0b0c, 0xbbc5804a, 0x52349b6d, 0xdc76796f,
+    0x7b18289f, 0xce570d43, 0x4bc4861b, 0xdc8ca17a, 0xfac42bab, 0x01541c5e, 0x23b5ef82, 0x840d9945,
+    0x5fa3b7d2, 0x40fe1bc7, 0xb59564d5, 0xf180f0d3, 0x5520cbbd, 0xf870d9a0, 0x90f67322, 0x0339a47d,
+    0xca49889c, 0x90d50557, 0x228b4cb1, 0xff840891, 0x102d8874, 0x7bf5cda6, 0x0b9f74f5, 0xb005a84f,
+    0xa536d216, 0xf092aa53, 0xe563921c, 0x36f642fd, 0x13292ff6, 0x890b6998, 0x240c4dac, 0x71941821,
+    0x7763443a, 0x97bc533f, 0x2bed60ce, 0x98d280d4, 0x830bb40f, 0x2b740aee, 0x9ffbea9f, 0xc0cfefb2,
+    0x080a08a9, 0x21bf254e, 0x9827521d, 0x090bd96b, 0x165311b5, 0x7881de8d, 0x6e1107b0, 0x72d23a5e,
+    0xc4cfa140, 0x34d79800, 0xa042c135, 0x38436446, 0xdb4a6fad, 0x53da6bd8, 0xfb389bfd, 0x89787165,
+    0xb66c1054, 0x97c97e03, 0xcb3114c6, 0x02558bf3, 0xe2a4447c, 0x5d9a51ef, 0x4b996a53, 0x3e742ba3,
+    0xaef6f20d, 0x20138ed5, 0xea7f4928, 0x27e1b3ca, 0xc96e67f1, 0x65129846, 0x320b36b8, 0x8d56c9e7,
+    0xcdb45571, 0x214ea42a, 0x3dbf3f4e, 0x600cc6c2, 0x64b6b0d8, 0x34793b7e, 0x37c59c15, 0xc862b595,
+    0xa9e3e0b0, 0x4006279b, 0x4ac0b373, 0x6990e2e5, 0x5eed2171, 0x0841d7bd, 0x8195796f, 0xa4ab768e,
+    0x8d55e75a, 0x646497f6, 0x92347d78, 0xe05eb817, 0x13bab53b, 0x1ac83f4f, 0x8d9b16c2, 0x6fea29fa,
+    0x74f38604, 0xcf8d9c5a, 0x0adb5e70, 0x30260d54, 0xe050cfbe, 0x1950a383, 0xadcf1021, 0xc86f9fae,
+    0x0825b0a4, 0x795cf901, 0xf9cfdafb, 0x20d4ec72, 0xd71b7094, 0x6f419428, 0x703db80a, 0xc7a6c4c2,
+    0x2177b85d, 0x17fa1751, 0xa54de141, 0xdbd66eeb, 0x6555708d, 0x17d2772d, 0x80fcd1d8, 0x621c4366,
+    0xd4a1070e, 0xf81a308e, 0x8aa7ed47, 0x31bcc165, 0xe8646c47, 0x5a50520a, 0xd9c4df0e, 0xd61fda01,
+    0x5eb3d06e, 0x8ed52b94, 0x42bb6f2d, 0xedc7e9cd, 0xdbe36910, 0xc6110dda, 0x3cff319d, 0xdeb2407f,
+    0xc12409c6, 0x9748402a, 0xb19eea90, 0x9832480c, 0x847d731e, 0x4338b923, 0x69c3dde2, 0x760032e5,
+    0x84ad5454, 0xfc4b7d1d, 0x49b852fb, 0x857a3bbb, 0xa3c03232, 0x48bf595f, 0xb1db63ab, 0x724da5b1,
+    0x4ac32e0b, 0x7f6db52f, 0xd3a388cc, 0x4067a8ad, 0x6bee25b6, 0xcc900c99, 0x0914045f, 0xaad1f562,
+    0x3d19a6b0, 0xc481c911, 0xf526686f, 0x8134cfef, 0xa4f2f51c, 0x88ee6858, 0x766ae780, 0xf37de6f1,
+    0xca5b44d6, 0x2755a4da, 0xfbdc7409, 0x87e14b20, 0xfc9be31d, 0x76cf9b48, 0x8757e1fd, 0xd954d3dc,
+    0xb62c8e4d, 0x29cf709d, 0x4181e02f, 0x7530eb89, 0x8c533f08, 0x958440d3, 0xd100b432, 0x733f8638,
+    0x6f87d411, 0x969314a2, 0x01ce52b7, 0x15aeafb1, 0xa6eeb1b1, 0x6e4b0eb6, 0xb6e06f36, 0xa140d767,
+    0x5f2ea231, 0xb2078f10, 0x49e97d74, 0xe931dbde, 0x14fbb803, 0x3cf03afe, 0xa682bd02, 0x9e8df777,
+    0xa5fa69b3, 0xab3fd42a, 0xf3571183, 0xbf6cb9b7, 0xfbcc08bf, 0x44ed659d, 0xffb134d1, 0x69a4d5c6,
+    0x1f1fd077, 0xbf8a747f, 0x0143f361, 0x77cfcb27, 0x83c341c5, 0xcce0c1b1, 0xccbc5b8a, 0x696083ae,
+    0xecad1455, 0x5ac2aa77, 0xd74eeda0, 0x9e2e820d, 0x06e78b74, 0x6e60a435, 0x25803c51, 0x42387071,
+    0xe13edc89, 0xa841c1a3, 0xdcc1c595, 0x0cf55923, 0xea6ff362, 0x051bd08b, 0x94fdd769, 0xc0105e62,
+    0xc1e2c6eb, 0xb4219281, 0x8b74f68f, 0x5559ef25, 0x7b780a00, 0xcc4a7184, 0x225415d9, 0x26e547e2,
+    0xe27956c2, 0xd63a7ace, 0x3add5d15, 0x24764e24, 0x56dd774e, 0xf752454c, 0xf69b10c7, 0x9a9a8bf1,
+    0x1c9e1c6b, 0x4f2ce3d3, 0x2eb75b5e, 0xdf85580b, 0x7867ec64, 0x91a357e6, 0xb65fcd8f, 0x84369eb8,
+    0x95103a64, 0x14831a04, 0xc14bdbac, 0x71a4fd84, 0xb384706a, 0x98579305, 0x3751bdbc, 0x46a749a7,
+    0x56e9dc58, 0xe0bf5c75, 0x00c82beb, 0x50834d83, 0xb9da9159, 0x3fb8a50f, 0x25e7341a, 0xc1f0026a,
+    0xf6baa2b8, 0x2792f64a, 0xe0931923, 0x84abfa57, 0xada9b3d5, 0x18ad102c, 0x4b3c0a62, 0xe49f241c,
+    0xaea9ca69, 0xc5bee86d, 0x82e9e905, 0xc01c146f, 0xb2681874, 0xc441a059, 0xf43e3106, 0xcffd6dd4,
+    0xae2953e5, 0xafa1ac1c, 0xffba1a3e, 0x46e12873, 0xebc9b8a4, 0xee9c9542, 0x9a8c352f, 0x5972f956,
+    0x6a6e375c, 0x27227b41, 0xf2dcad2d, 0x21badff2, 0x0b477a16, 0x591245b9, 0x3c3cce9a, 0x5bd86b3d,
+    0x09523e04, 0x781d269f, 0xd9e1c98c, 0xc3a453f7, 0x931a47fe, 0x1774791e, 0x47a13c87, 0x1c748e30,
+    0x62b18ea5, 0xe95fea69, 0x221d51f4, 0xd6d7848b, 0x835e3447, 0x1bbb8ade, 0x517169fd, 0x510f2aad,
+    0xe88d5359, 0xd8d2a257, 0x732e9c90, 0x58b46098, 0xd169bdf0, 0xc393d09c, 0x68ac0860, 0x110b437d,
+    0xefc80a0e, 0xe6d7b3fb, 0x00f0864e, 0x9b36dce7, 0x92b41ce1, 0xf36a9b7c, 0x41223245, 0x2466492a,
+    0x4ac68de4, 0x166b9670, 0x435f362a, 0xc1e0ea69, 0x172d066b, 0x596ff92d, 0xa068bb36, 0x3a182940,
+    0xace0cab1, 0x3095339d, 0xc9b32b3e, 0x029cfb40, 0x3fececb8, 0x6e4d6421, 0x97bebae7, 0x911e9610,
+    0x7ce2a567, 0x6a8a4995, 0x48bf256e, 0x4462ba5a, 0xafb3f1e8, 0x1ab4b6d5, 0x3a090a71, 0xa6f9d95a,
+    0x359374b8, 0x6c2bf4f5, 0xab12c8fe, 0xa9f1bbe1, 0x6ed0a309, 0xb38a8513, 0x319ea11a, 0x2b5f2589,
+    0x9c589e37, 0x5ff41af1, 0xac7e1039, 0x51de864b, 0xf1468e58, 0x7ee2f520, 0xeccc816b, 0x5dfbb526,
+    0x9f094bb3, 0xaad5a8c4, 0x4bffba76, 0xe2585289, 0x2ba0d6e6, 0x09e6b0a4, 0xe06817e6, 0x9b741677,
+    0x06be8e97, 0x527091ee, 0x9d71e292, 0xc3d2fd06, 0x9aa22d1d, 0xc4b0f56e, 0x5e89e6cd, 0xd9becaa1,
+    0x65d6e842, 0x824d7a48, 0x82fd7a2e, 0x046c7d7b, 0xcecc95f0, 0x2c6d5184, 0xc69d2682, 0xb8e46504,
+    0x46578f06, 0xb99db5f1, 0x3a7012f1, 0x610798c3, 0x5ddea4c6, 0xd1455387, 0x86b34acf, 0x4a56f487,
+    0x5a64bc6e, 0xe8434e9e, 0xa89deb17, 0xe8e3233a, 0xca31ef52, 0x54247de3, 0x2215a3f9, 0x31a15796,
+    0x90ccda36, 0x982859f3, 0x4fe0f3a8, 0x54272ab6, 0x45e0880e, 0x7db6d902, 0x69273917, 0x6df18d1d,
+    0xac2a8074, 0xbde7c17d, 0xfe003aeb, 0x1a6b8f90, 0x742ec073, 0x4206fa95, 0x6ebd2904, 0xe10fe319,
+    0xc825155d, 0x5fda87c0, 0x0da4d45a, 0x3704f73a, 0xd1640ae5, 0xa2edc81e, 0xc9edc32c, 0x9a3b57a2,
+    0xca20d864, 0x13610416, 0xbc0d0959, 0xd10e1f46, 0x166f7b14, 0xf1ec9d27, 0x5b0d0c9f, 0x1a89050a,
+    0x20bae8ec, 0x5b77ea94, 0xe5812d04, 0x2e42f585, 0x7ba29cbb, 0xf3e839fc, 0xf18b2dfa, 0xe7cc874b,
+    0x3abe4a1e, 0x6b7c69c0, 0x4b75c630, 0xad8238ca, 0xbf8f5470, 0xd83ea431, 0xcfa0fe75, 0xa03bf36b,
+    0x00000000,
+    0xdb41549b, 0x2ae0c5c1, 0x9af02162, 0x187a62f9, 0x49537f7d, 0x4c52b16e, 0x93aa01c8, 0x5024b326,
+    0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000005871356456934583069723701491973\
+                          34256843920637227079967676822742883052256278652110865924749596192175757983744 */
+  { 0x00000000,
+    0x523a03ef, 0x8d06b522, 0x3902cdf6, 0x81f17886, 0xda7e31e1, 0x2c276a82, 0x136d8a2e, 0x48648686,
+    0x51918bdf, 0x0e4aed3c, 0x791a936b, 0xe6762108, 0x6d69a3be, 0x1b5d6c28, 0x6b3bdccc, 0x9e16bf4a,
+    0x3bba400f, 0x86c09158, 0xa63afc3a, 0x22100dbc, 0xb35ffcaa, 0x2f63838e, 0x4b48c7a4, 0x0e900745,
+    0x10c4b8e1, 0x59bbc7d8, 0xe7f1ba83, 0x893b038f, 0xfc6fccb8, 0x3c37fe7b, 0xf2241c37, 0x2acec47d,
+    0x29ec5a67, 0x685a3490, 0x75c23de5, 0x479ac860, 0x7f69afbf, 0x495f22a1, 0x018a5388, 0x5ebc9a2f,
+    0x7f04864d, 0x920439f9, 0x006f977d, 0x7fba1038, 0x60cd94de, 0xf6b79f8a, 0xd0ee7928, 0x9ea659fa,
+    0x422be690, 0xfe5df406, 0x00b6eb4e, 0xd61647f8, 0x571af8bd, 0xe976f0fc, 0xb5f91a89, 0x81c38168,
+    0x8fb5215d, 0xbf9a8b05, 0xf014baa6, 0x4e72c605, 0xf7cb61f8, 0x43b34fa7, 0xef00e8bf, 0xf59b1261,
+    0xf4e40e27, 0x6b1e0ef8, 0xe20f2164, 0xe3070064, 0xa6f97e82, 0x1c99e106, 0x415daf8f, 0xed2ea89c,
+    0xb257526b, 0x38a4bffe, 0xbf283c50, 0xa00bb2fc, 0x099eefd0, 0x6354958d, 0xee3c2822, 0xcd02712b,
+    0x7ffdfcf9, 0xb2b3d79b, 0x7504242a, 0xc5ed33b6, 0xeb7f634b, 0x541ab0c3, 0x3ffbb5ca, 0xdd0b5904,
+    0xbe41bd65, 0xc55af9f1, 0xcaee2f6c, 0xc1fc687b, 0x9bf9c66b, 0xad0ce537, 0x9ba388c1, 0xe02d3407,
+    0x9359d0fa, 0xeae823e3, 0x6722cc7c, 0x22592f14, 0x3a692c2e, 0xa982d532, 0xd000175f, 0x582e5782,
+    0x54cdf8ad, 0x16fa341f, 0x6432121f, 0xe2d42e65, 0x57614fd9, 0xa7eebf91, 0xc6e24a60, 0x854c6ec3,
+    0xa6ee99d8, 0x7dab1d2c, 0x08c2f0e5, 0x787f1674, 0x6c5277e5, 0x0f597817, 0xf6c320a7, 0xf1994f85,
+    0x47320dd7, 0x8d9da845, 0x2f7df62e, 0x52472c12, 0xe1a278fd, 0x7bcc5295, 0x8e847f47, 0x27517ea5,
+    0xb8674f7a, 0x6284f120, 0x319b0e67, 0xbda187c9, 0x450e9392, 0x3a609f59, 0x00bf71a2, 0x94f98114,
+    0xaa85445a, 0x17f543b5, 0xe4cee6ed, 0xe8858ecb, 0x683716f0, 0x60de85ed, 0x699f4aa9, 0xc6620808,
+    0x78f5be2e, 0xd9ea2bfb, 0xee2ac094, 0x238d4239, 0x0c9a3823, 0x0acc81b6, 0x8d240b21, 0xdcc371d0,
+    0x71b2c59b, 0x82a66256, 0x317b8368, 0x37922943, 0x25ea302d, 0x448f6a79, 0xba3fa4a8, 0x3e3feef1,
+    0x5034e3af, 0x34abbded, 0xc8d1359b, 0x58bdb18f, 0x7a77d6d1, 0xc48979c7, 0x515f3947, 0xa6b4577e,
+    0x1d760bab, 0x45d0b01d, 0xb15fb14a, 0xf9e2de66, 0x11d444c6, 0x8f2a7858, 0xa6dfdf41, 0xb9f0cfbb,
+    0x8594abf1, 0xbeb986ed, 0xb465c9ed, 0xb07024c9, 0xfbf91265, 0x4c928e78, 0x57948543, 0x72a19fa4,
+    0x4b745ec3, 0xafb3bc1b, 0xe0ed3351, 0x629856ba, 0xfeab7c96, 0x69d6980d, 0xbaedc6d6, 0xa84789ab,
+    0xe17482f8, 0xf2e7333b, 0x70d699a5, 0x78873ac8, 0x261ab406, 0xe06f4e03, 0x7b025741, 0x30edcb91,
+    0x8a1aa135, 0x8fd82fb0, 0x258179e0, 0x49410626, 0xcb55e632, 0x55eba75f, 0x5d93fe1d, 0xcbe91ca5,
+    0xa721ad87, 0xeaea967b, 0x340bffb5, 0x31aaf167, 0xe29b9434, 0x20f8ef30, 0x5051879e, 0x931c9ced,
+    0x54c28d04, 0xc17b7f1d, 0x9987b78a, 0x56721e34, 0x2f613c81, 0xcc85ac2b, 0xe3348351, 0x6bd4aa13,
+    0x4a201cea, 0x5e0b7c1d, 0x994630b3, 0x171a28d0, 0x752d9a1c, 0xf5e2c33d, 0x7c9c3689, 0x4658b0b5,
+    0x1872425c, 0xb19b3ffa, 0x907e9ae6, 0x06ad699a, 0x25a71068, 0x6c0bb1df, 0x6108b073, 0x57935d55,
+    0x3f6c3d55, 0xbaa15d35, 0x82ff5e7e, 0xe5045611, 0x6c835b63, 0x7f72c7fd, 0xe09aa499, 0xc10beb94,
+    0x2a9d2e7e, 0xbef4d00a, 0xc3c551f2, 0xd001d559, 0x1baedba8, 0x9fff1fac, 0xf58b480c, 0xb1c3594e,
+    0x388fbe3c, 0xffd07217, 0x125f94f6, 0x002f5fdd, 0x853be48c, 0x48bed756, 0x6d90cc6a, 0xff719058,
+    0xeff1b116, 0xc75cb1a0, 0xa8610dc1, 0x0d9db1a3, 0xb78031c6, 0x21456fc1, 0x029ec73c, 0x160e2111,
+    0x1e2b6284, 0xc2031d4e, 0x659353a5, 0xea225615, 0x2b514b94, 0xcc5c528f, 0x15451de8, 0x057ecf8e,
+    0x6054042e, 0xb5873100, 0xed538398, 0xbd597308, 0xf44ccb60, 0xfb633673, 0xf0b452bf, 0x88feadb4,
+    0x64ccc6c1, 0xcf5a3a09, 0xce6cca57, 0x03c638bb, 0xebe84e8a, 0x79602afb, 0x7d55cc63, 0x20e1134f,
+    0xdd674ce7, 0xe6af7815, 0x4a9269d5, 0x6822b40e, 0xca4e6cca, 0x6f3b04da, 0x5fe85d39, 0xc9af825f,
+    0x780468d1, 0x764c1519, 0x73fdd646, 0xb75b1196, 0xafcb94f9, 0x64a1cef7, 0x44ab3207, 0x9269e76b,
+    0x6b2f74ae, 0x78ce3831, 0xc3d37dd4, 0x49631e9f, 0xc278ace2, 0xae55f223, 0x8f2ebacd, 0x74842899,
+    0x61484046, 0xa24a634e, 0xd4ecc05b, 0xfc2f5eb4, 0x847d509e, 0xe51446dd, 0xd0836c98, 0x283cb448,
+    0x6b8dbb73, 0x136a76b1, 0x30c2766a, 0x4f0a961b, 0x6e9c2b8b, 0x8dea5403, 0x8e6e8707, 0x48c1538d,
+    0x07e1eccc, 0xd18da265, 0x35aa6add, 0xc3580900, 0x5458cc3d, 0x49777ef4, 0x6d48cac4, 0x077a3599,
+    0x67ac83ad, 0xd6a5afbc, 0x8b193412, 0x1fbe02f3, 0x6527adf3, 0xfa6b5693, 0x3a3961a9, 0xf39f0b37,
+    0x4fb4cfc8, 0xaf817a32, 0xdd8c9f63, 0x6fd87010, 0xce4910cb, 0xcfb4118e, 0xd7c86fa2, 0x15ebb88b,
+    0xe31673c5, 0xc5d27dc7, 0x798bd46e, 0x2e623b79, 0x2a52aa15, 0x5e53eec2, 0x6189d231, 0xfe42f7e0,
+    0x22027fe0, 0x19f22c72, 0xbb6eebbd, 0x891d2230, 0x6124fc54, 0x92a14351, 0x1ba94ef9, 0x02dc294b,
+    0x2c892cf2, 0xfd366622, 0x30d9aa95, 0x9359ae80, 0x5360e5d6, 0xdf58fbbf, 0xc9ef0fcf, 0x20a9c4e2,
+    0x2bc027dc, 0x1f27c890, 0x1295e1ad, 0x5da87c30, 0x41dada7f, 0xa4971556, 0x09a33626, 0x0319991e,
+    0xf9296030, 0x4f5b4b14, 0x8cf026d0, 0x7bda0ed5, 0xc2f9f728, 0xb46697df, 0xe17e8529, 0x801c04db,
+    0xd1961046, 0x9f560f12, 0xca2e2520, 0xd8df16a9, 0x62fe25b2, 0xab96da8c, 0x8c6a2999, 0x32fd2d97,
+    0x7825528d, 0x0fe545b9, 0x601f5e7f, 0x2d082672, 0x8ad341a4, 0x766b216e, 0x79fea78b, 0x3cbf1d33,
+    0xac43cdcb, 0x78a1adf8, 0x979f4826, 0xbf49e4ae, 0xc17b5b2a, 0xee447466, 0xb2c0d6c3, 0x9de9e09c,
+    0x91ccac07, 0x1ded7274, 0xb3abdf46, 0x55b091eb, 0xe478582b, 0xdddae125, 0x10873476, 0xad891ab9,
+    0xbcf9e368, 0xdf17890a, 0x1dc3ee8f, 0x3fbea199, 0x6cb1816f, 0x393c2de4, 0x14bf75d1, 0x00121490,
+    0x278020ad, 0x1acfde2e, 0xdb4804e6, 0x28294145, 0x7eeb1938, 0xfca99b40, 0xe8c4b4e8, 0x3f30da40,
+    0x0d540670, 0xd4f9de2e, 0x4bcf8b1f, 0x8d59cccd, 0x2b519268, 0xdb335d23, 0x88ff86ad, 0xb19f911c,
+    0x56a8e9c6, 0x9a8a1d0a, 0x78b14eca, 0x25c760d9, 0x0d5e8bc9, 0x3d922a35, 0x4eb034ed, 0x1a1a6aff,
+    0xb2c6fa3c, 0xd2334e07, 0x4b21530f, 0x014dfa67, 0xf97d06a9, 0xfbc04813, 0x198964c3, 0xf3426681,
+    0x289b25c1, 0x9def54d8, 0x962235c8, 0x76d1a7f6, 0x9cfaa796, 0xcaa876cf, 0xfe66afd6, 0x8cbbf017,
+    0xb73e13c1, 0xfa4d68af, 0x2933666f, 0x073703b6, 0x13e9aa58, 0xd8a4a723, 0x90322b5f, 0xa6c39ed3,
+    0x4cbd9ff6, 0x83c5d7b2, 0x50f750cb, 0x47535c11, 0x03e4e147, 0x16f7fee5, 0xc7601a6e, 0x69d175f9,
+    0xcf2ce1ad, 0xca5f27bd, 0x38d41ccb, 0x72e57285, 0xe11ffc4a, 0x8210a6bf, 0x61282c0f, 0x32d87d07,
+    0x1e2c62cd, 0x40246fd3, 0x0334a976, 0xc490a508, 0x1c61f264, 0x750f29ca, 0xa14d006b, 0xaa347189,
+    0xa83bb66f, 0x680517fe, 0x53ad49a9, 0xfa110c5b, 0x4bc5b747, 0x8b5af30c, 0x7f404c08, 0x9efa8d41,
+    0x1b4e3aa9, 0x245a444b, 0xba43fae0, 0xed29d6b4, 0x95008cbf, 0xd42550b7, 0x18559085, 0xa8cddb9e,
+    0xee932ea0, 0xdc98ab15, 0x6130a03f, 0x7540316d, 0xde7f1cc9, 0x46f1f5a0, 0x0e012036, 0x355fb2ca,
+    0x70737fcc, 0x0a1d02bd, 0x7f1aea04, 0x1b728004, 0xb87629a9, 0xee4c0ddf, 0xcc4e32f6, 0x71d48b69,
+    0xde522432, 0xd3dc9047, 0xd5ec0574, 0x03e3fab6, 0x306171dc, 0x3229cf1a, 0x85909de3, 0x83bbdcf0,
+    0x74167c40, 0xcc62e417, 0xb9c313e2, 0xea59b0db, 0x320901a0, 0x455dd3cd, 0x94ee1c78, 0x205f6972,
+    0xb0efdd3e, 0x61aa93c7, 0x70043bc2, 0x6e05f806, 0x2a74f04b, 0x8821578b, 0x713a219e, 0x88acf6f7,
+    0xe77e05be, 0x640bd44e, 0x41400b2a, 0x511c81b7, 0x86753fe7, 0xe9db99ac, 0xe31b77e9, 0x44c3cff2,
+    0x6238269b, 0xb0091f49, 0x916e1b92, 0x324a1df0, 0x51b87821, 0x54583447, 0xe158d72d, 0xba752763,
+    0x135f7001, 0x75e2b901, 0xfc39d370, 0x03161d3c, 0xb6944bb5, 0xe23f22f1, 0x5fc9f881, 0x8096275a,
+    0x6dbb27a5, 0x4f0d9639, 0xb246bd36, 0xd69193ef, 0xa6696910, 0x1f73e1c9, 0x07a9577d, 0x11f57605,
+    0xee3ed167, 0x094235ed, 0x6d046490, 0x46cfaac6, 0xf032f715, 0x99119e35, 0x26be53ee, 0x412d8c6a,
+    0x9f76dba8, 0x961a3077, 0x901384f4, 0x3c9fe8f7, 0x711eb2da, 0xd831b1a9, 0xd38a5b95, 0x258049e6,
+    0xa050b4ec, 0x846352ec, 0xd5b0824c, 0xa66b2e19, 0x5f497aee, 0xd0cca882, 0xa88c72ea, 0xcfb101c9,
+    0x7195a0a3, 0xc6502d83, 0x8317eefe, 0x79e7577c, 0x5b01708d, 0x09eb8554, 0x91805a61, 0x8d679579,
+    0x98b457b3, 0xa94d163f, 0xdaf28203, 0x4667d685, 0xa4f94275, 0x9db4a55e, 0xd98c2802, 0x6972a7db,
+    0xd243f8fd, 0x5b54eb94, 0xfce839e0, 0x052314db, 0x94dce075, 0x29bf99f5, 0x1b8b2852, 0xf52d55c9,
+    0x5b7d59c9, 0xb7f63f5d, 0x8f7ee3fb, 0xd846db11, 0x13df88f6, 0xfc1f9381, 0xb87e2b45, 0x3e13049a,
+    0x078889ca, 0x5e71289b, 0x5371f924, 0xd8f08c0f, 0x125a60bc, 0xc145d020, 0x3ef01a51, 0x886af48c,
+    0x378e7d62, 0xb7787da2, 0xa1517ada, 0xd1719537, 0x0753b47d, 0x04c2eb78, 0xe809d558, 0x59e1df13,
+    0xc32b91ad, 0x05f2d367, 0x05b9e39c, 0x04aa37c5, 0x1fe8033a, 0x60b5a802, 0x8444264f, 0x598dba9e,
+    0x8578563e, 0xe6219e89, 0x4424260f, 0x928af763, 0x4a0597b4, 0x5b946a12, 0x8b4f6b57, 0xd90e955c,
+    0x55655fad, 0x26c3146c, 0xf20aa245, 0x3f4c03c7, 0x99e1af98, 0x3d3e860d, 0xac38ab35, 0x0aa8a244,
+    0xcd56e34e, 0xa5938c84, 0xfabcb2b8, 0xa702e776, 0x7de8412c, 0x1952b82a, 0x9dbc4a99, 0x78ba113b,
+    0x3646797a, 0x19f9e8be, 0xfe927b67, 0x14adf2f3, 0x2a3a27e6, 0xe7d678ca, 0x7d745f6e, 0x4676b5f6,
+    0xce36b269, 0xed81b065, 0xce2cdb00, 0x901ebd12, 0x61fd6529, 0xeae3685b, 0xa7e5a01b, 0xb13de3ba,
+    0x1d9904bd, 0x85c4d055, 0x5efe1a0b, 0x3687e13e, 0xce3b6125, 0x2345ab39, 0x2c3183a9, 0x589bec16,
+    0x5e463722, 0x1ad4c9c3, 0xaaaf80b1, 0x25caef72, 0x82cb2241, 0x6536214d, 0xdee367f9, 0xc42b8e96,
+    0xedd2b3e1, 0xc3efbc24, 0x175ed637, 0x13442bbd, 0x231a7e8b, 0x0a14866a, 0x5eede8e4, 0x131fc33e,
+    0x59d733cd, 0x92ff93b1, 0xd30dc6fd, 0x5598ee80, 0xe2a17a8a, 0x4ac30f07, 0xd92d2249, 0xcfe71ce7,
+    0xdad0f8a9, 0x939459af, 0x111d37dc, 0x061e46c0, 0x5a19aaa3, 0xd79174fb, 0xfec2422c, 0x8ee03a0e,
+    0x04700f6d, 0x6a737825, 0x86e6da90, 0x554aa4c0, 0xc64c607e, 0xf9260e85, 0x976d4042, 0x15dbb0d5,
+    0xcbdba1de, 0x2559ab66, 0x8f99aded, 0x1fa4f47f, 0x3d7f7f1a, 0x4a4d186f, 0x85ab886f, 0xd9a9ce10,
+    0x7048732b, 0xdc8229a1, 0x818794a6, 0x7b429a2f, 0xfd855728, 0x5234c3b3, 0xa0bf5aef, 0xb6a737ca,
+    0x70272df7, 0x7fda7852, 0xe465f7ba, 0xa16cfdd8, 0x07367944, 0x358b9438, 0x3b40617c, 0x9cbf4844,
+    0x31f1b503, 0x9e3c60f7, 0xb087ab2d, 0x0e369ae0, 0x7ba2cc27, 0x83f5e152, 0xcfc382e0, 0x44812fb3,
+    0xe4c6b8f0, 0x90365cfe, 0xfb1cf4fa, 0xc1248614, 0x544432a5, 0x3142caad, 0x4c369fe3, 0xb9a53b45,
+    0x2db272af, 0x400c8253, 0xce4a4e53, 0xc8add09e, 0x0f40a7de, 0x3a8daf64, 0x73274659, 0xa6b5dd23,
+    0xe354f898, 0x9641144c, 0x76f57705, 0x83eeafdd, 0xc0ee5e95, 0x23c6cb82, 0x6692cdca, 0xb55404f6,
+    0x92a86dac, 0x45b9f5a8, 0xecd8b5c3, 0xa3bba1bb, 0x6b81be26, 0xb39baafb, 0x5915b1ac, 0xa64c538b,
+    0x2f929654, 0x95eb7562, 0xa16090f0, 0xc22e54f0, 0x35688031, 0x1702104d, 0xdfe90fe4, 0x0f47faaa,
+    0xb147b18e, 0xea2b2ce9, 0x512b2629, 0x4ba2f404, 0xfd14233d, 0x1e54474d, 0x5890d1b5, 0x2bbe5a84,
+    0xb1551622, 0xa33980c5, 0x5521d3af, 0x3876ea3f, 0xf60af6a8, 0x1910ee7a, 0x7253efff, 0xc9dcac3f,
+    0x0045889c, 0x25e2272f, 0x37586a41, 0xd8a212d4, 0x1ec20297, 0xebc10915, 0x845e8622, 0xf121d607,
+    0xdec98f53, 0x96c2ed30, 0x354cffd1, 0x55f1887a, 0xb2782d19, 0x18fc858b, 0x6ea008ce, 0x56e40316,
+    0xc810f1f6, 0x4764756b, 0x26dd13c2, 0xecc7033d, 0x2c8019de, 0x3b9a6836, 0xe34d3dae, 0xa8e00ae8,
+    0x33076cc0, 0xb21e1036, 0x69c2ed6b, 0x5257708b, 0x8bb9ca53, 0x3213c841, 0x3d4f42e8, 0x3a2644ef,
+    0xc6da5a41, 0x74759ed7, 0x34fe62f4, 0x449da081, 0x2dc7629a, 0xd95c5c38, 0xd5cfca17, 0xd12bdf9e,
+    0x44b9d792, 0x238e6b5b, 0x9e114f1e, 0x0fcf960e, 0x3b043e52, 0xc76dcfbe, 0x59b2d078, 0x189f591a,
+    0x386a71ba, 0x9d8ea5b3, 0x188fb09a, 0x5eb84ac7, 0x08f364ab, 0x408a9859, 0x878156fb, 0x9d312a4b,
+    0xe1354067, 0x38a363dd, 0xf918e6a7, 0x3d77f33a, 0xc4db0490, 0x551f2f77, 0x21345c96, 0x4688b893,
+    0x5bdecaa0, 0x767a277f, 0x884e3dbb, 0x7dd1de54, 0xfd1fa8e8, 0xb272fc4d, 0x20366c45, 0x5f52dcc0,
+    0x99b4d169, 0x191fbe18, 0x5aa8d4b3, 0xb65bdaed, 0x88099cd8, 0xe5b182e7, 0xc7f1a499, 0x692db799,
+    0x9d398cd3, 0xfd8af5fd, 0x9d06c79d, 0x784dcfee, 0xd48349c6, 0xb0ecf7eb, 0x224557f3, 0x85b1bb29,
+    0xf5bd1989, 0xc8a0ea25, 0xa8de134f, 0x0d731473, 0x640aab89, 0x4563683c, 0x307c89b0, 0x448e3e70,
+    0xed9802df, 0xa1e19029, 0x46ec7add, 0xd3c1ff2b, 0x82280550, 0x29299d00, 0x884e9c0a, 0x8f1a29ac,
+    0x4efe09f4, 0x1e91c467, 0x4f57742f, 0x8c3c5376, 0x30a8d228, 0xc86729ba, 0x73365884, 0x85d17edd,
+    0x94a7f497, 0xbbf4d351, 0x49f1bffa, 0x756701e0, 0x15f5ae4a, 0x0697751e, 0xcc875ca8, 0xd6ac08da,
+    0x958568f5, 0x8b95e320, 0x8e8bbf89, 0x508c7cb0, 0x390665fa, 0xa04a005b, 0x7fbde3d6, 0x3a05d06f,
+    0xebea4dc7, 0x57f47684, 0xcbe2f596, 0x152a36a3, 0xd942449b, 0xbb6dc437, 0x5169fe6d, 0x493e5f0b,
+    0x07ef77f5, 0x9a908c6c, 0xed05a036, 0xad6d1e3f, 0x06918b9a, 0x95fba1ac, 0x7d7a2c7d, 0x16e47ef2,
+    0x73ef60fd, 0xaecde4ea, 0x8889ccc8, 0xf289a566, 0x933c689b, 0x94f96681, 0x95b972cb, 0x8f3689ed,
+    0x00000000,
+    0xeda0aa4d, 0x157062e0, 0xcd7810b1, 0x8c3d317c, 0x24a9bfbe, 0x262958b7, 0x49d500e4, 0x28125993,
+    0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000002935678228467291534861850745986\
+                          67128421960318613539983838411371441526128139326055432962374798096087878991872 */
+  { 0x00000000,
+    0x01b3fc98, 0x27957d03, 0xe023f9b9, 0x5c5cc8fc, 0x448ad781, 0xbd2c5525, 0x11c7d690, 0x94fc25b0,
+    0x8c86710d, 0x26b76f8e, 0xe8c43d7f, 0xf08b74dd, 0xb5946d7e, 0xa580ee04, 0x45a8d05b, 0xbbbd291b,
+    0x219ad2ea, 0xb66b4b69, 0xa4ffc53d, 0x3a1f18a3, 0xbbb65642, 0x0dcb8ccf, 0xa7eced83, 0x8b4a1c75,
+    0x5768e8c1, 0xe8c6de11, 0x81dcf36b, 0xad0b1cf3, 0x84e3bd14, 0x7ce653d8, 0xc444c1d0, 0xdc9fb1c0,
+    0x22867a1b, 0x4ab90b5c, 0x13a1cf18, 0x22fc011a, 0xf3140041, 0x52391591, 0x5619492c, 0x32c4bf24,
+    0x75ac1716, 0xa877f72f, 0xc26550a6, 0x37993ed3, 0x1ac7900e, 0xe9d313f6, 0x851a299a, 0xcb8c6810,
+    0xbdef01f0, 0x2ee66b3b, 0xc1c30f1a, 0xd6101388, 0xac013eda, 0xf3524f0e, 0x9e687bf2, 0x23594797,
+    0xf1252505, 0xc9612a2f, 0x6c73fe3f, 0x0e703397, 0x8ba1a995, 0xf1c681dc, 0xb07595eb, 0x6c16d63a,
+    0x6eab76a8, 0x821ba58f, 0x37655ce0, 0x9cce6549, 0x82e0deb7, 0x971103a9, 0x07f071da, 0xa5464e4c,
+    0x56f030cc, 0xcb3f1793, 0xf2a90a73, 0xb6e22150, 0x69b196cd, 0x1f9e705a, 0xcc0c1752, 0xda870af9,
+    0x797fbe1d, 0x0460fa32, 0x7663b33a, 0xe37d46be, 0x8bc01922, 0x7b8597b9, 0x3ba071c9, 0x432f6e93,
+    0x534f9c9a, 0x1435d258, 0x7caea20d, 0x72819ee2, 0xa44aac92, 0x3d9978bb, 0xf7bd5d2b, 0xf3ba7c34,
+    0xcb03112c, 0x8b2e1f33, 0x0a09c465, 0x5221a3f7, 0x2f5cf5b4, 0xf089c499, 0xfb61bd56, 0xd69d7a65,
+    0x0c9deb0f, 0x9fdfeca9, 0xa17afb2b, 0x250638ed, 0x8a03161f, 0xe4916525, 0x93a84179, 0x0dcd5942,
+    0xa8caa9c0, 0x2d2280be, 0xd561f984, 0x09ae4b5e, 0xc4d8dea4, 0x2df90f0a, 0xcdf20c06, 0xf322708c,
+    0xdebac4a5, 0x92fbe2e9, 0x766a0c2b, 0x53b4128b, 0x422c4444, 0xa7dbe6ec, 0x46625b21, 0xf91241e3,
+    0xc17591e9, 0x690b50c1, 0xcc706b7a, 0x54b6df0c, 0x415a9df6, 0x695758da, 0xcb757018, 0xcc9af0a7,
+    0xb811b5e2, 0x254c91ee, 0x4f334309, 0x10067b06, 0xad78b737, 0x667fb413, 0xf1971780, 0x692084b7,
+    0x2e608342, 0x81cb7cde, 0x81a77eb8, 0xaee7120c, 0x50f0bd8d, 0x817c3aa3, 0x4a7b751d, 0xc6262148,
+    0xb4e9ed7c, 0x31e73e78, 0xd03bb1d6, 0x8c43ab78, 0xeb7b855b, 0x3ddfbde9, 0x184d8f93, 0x2161c269,
+    0x3e4f95a9, 0x53f9b589, 0x5ae6742b, 0xd0521159, 0x29d1d6c4, 0xe70b48aa, 0x0f50f291, 0x6cf9c523,
+    0x22baae01, 0xc91ad43e, 0x10e4b4ad, 0xe1828a2d, 0xb28ac025, 0x14713b33, 0x12b09485, 0x01887fc5,
+    0xd449ed59, 0x4666ab1b, 0x30ce2c9f, 0x96e13323, 0x547d5051, 0xf03d4a0f, 0x124dcb0a, 0x0b91064b,
+    0xa10b6bf6, 0xbc01470a, 0x4973c0d1, 0xf4a4c91e, 0xb861fc95, 0xe9c717f6, 0x6615917a, 0xee7b6177,
+    0xd03502e9, 0xcb3daa93, 0xd9efaf04, 0xa2727d0f, 0xa387f039, 0x58db03bb, 0x7859edeb, 0xff6159de,
+    0x044033ee, 0x2b2c5064, 0x75393e75, 0xd8f2ca5b, 0x508b3ded, 0xae26178a, 0xffb4e95c, 0x9ea65b7d,
+    0xfd676c5f, 0xf4ca9f9e, 0x2815898f, 0x6332ab97, 0xbdcac89d, 0xa8f69588, 0x39168a3b, 0x3554017b,
+    0x2b68c378, 0x190ba5c2, 0xcef4e3a9, 0xdc1d1554, 0xc5d0ca63, 0x4dcb16ad, 0x75f3066b, 0xbbaff410,
+    0x1c66588d, 0xb245babe, 0x76656aa1, 0x543ab822, 0xfb074bf0, 0x526404de, 0x28e5d4a4, 0xee21c125,
+    0xbf839082, 0x2874bc23, 0xdc60cb07, 0xe4357483, 0xb226dea3, 0xed5e0e99, 0x04dc28fe, 0x4cbe62b6,
+    0x5a9d8e41, 0x8ca28dfd, 0x1a4a6870, 0x637d51e6, 0xc2a18b5d, 0x12aefb52, 0x639f4440, 0x86b05822,
+    0x4faaed14, 0x511b0ff7, 0xdeb1c024, 0xb037340e, 0xadafcec0, 0xc496418b, 0x0b042b79, 0xbf216b51,
+    0xd83a79f7, 0xf59ba6be, 0xece602e3, 0x9e0781c1, 0x3214f946, 0x7228fb83, 0xfd886e1c, 0x1f207d57,
+    0xb9135d53, 0x1505688e, 0x3b38ba3a, 0x48724e2b, 0x04c36f50, 0xa4b1168e, 0x3382ffab, 0xea65dda9,
+    0x94ccbdc3, 0x2e856eb4, 0xf3a3ab37, 0xc6c81025, 0x44d072ac, 0x06b53db9, 0x8d3fb6a1, 0x6c024ee9,
+    0xb53b4668, 0x35702adc, 0x20ed68fe, 0x1615619c, 0x4f0e30aa, 0x532833bb, 0x261efe34, 0x9c6f1946,
+    0x08049766, 0xd0c507bf, 0xb6739ea9, 0x8eede0db, 0x303dd2da, 0x19d90a05, 0xb9a43e57, 0x0d04bf40,
+    0x8862035f, 0xdd0bce73, 0xdfa1e90a, 0xd3c50dea, 0x13e91842, 0x24521c09, 0xd77aa5d4, 0xf5fe916c,
+    0x44b9a97f, 0x92342bae, 0x0b1257bf, 0x9ab154e8, 0x9dff5c4e, 0x599d3005, 0x35d2177a, 0xe24e11a4,
+    0x3e1a3c9f, 0xffb7cde4, 0x3b01186a, 0x0626fa48, 0x0411e77c, 0xbbcf7b24, 0xc6f36576, 0xe5e2329c,
+    0xae5e976d, 0x8ac1e7d2, 0xdb543805, 0xd78159c3, 0x2c464bff, 0xb8c006ee, 0xe70dff82, 0xca0c8ef5,
+    0xb40f0699, 0x531339e2, 0x9db70a36, 0xddafb523, 0x62ed71ed, 0xfa7b4c60, 0x9e0d5a01, 0x06496e57,
+    0x38bd3cab, 0x0e8c9b6a, 0x8e52d256, 0xe6de503a, 0xf9502ce6, 0x67f71452, 0xd43b12ac, 0x5f325b2f,
+    0x92c160d0, 0x8134ed6a, 0xefcff808, 0x457747a9, 0xc9d758ce, 0xde56174a, 0xc6b14b64, 0x6bca5bfc,
+    0xc6788ce2, 0xcaf12163, 0xf2017b54, 0x028b021e, 0xc06c481f, 0x4e38cb15, 0x5cf4af11, 0x988bd97d,
+    0x3dac78b9, 0x96397cb5, 0x3465adb5, 0x747bfe79, 0xe4420c52, 0x53895f92, 0x92deb59f, 0x5ce2fca6,
+    0x4b0c7fee, 0xf4d404f7, 0x59c775b7, 0xae9bedcf, 0x00be26bc, 0x30c567c0, 0x32ef60eb, 0xe042e12c,
+    0x24b5360b, 0x4dce1359, 0x3d6db7f1, 0xa75a0bca, 0xb89e79f4, 0xcbb22dd1, 0xfe7d0185, 0x9cd869be,
+    0xb92493cd, 0x03c91897, 0x2429da18, 0xd07cf24d, 0x18a0aefb, 0x0066e9ce, 0x4f4648f7, 0x2e69e29e,
+    0x4d582b5b, 0x55dbb467, 0x226827b0, 0xf2d8c3ed, 0x93a457a0, 0x1b3338ec, 0x1f94acd1, 0xa91d436b,
+    0x313343ad, 0x37072476, 0x69e0370b, 0x08cfa27e, 0xfdfaf540, 0xf9990373, 0xdb2ee13d, 0x0a2c4751,
+    0xe6ad16b6, 0xd69cc066, 0xfdfbf847, 0x6e52ac29, 0x7bb78a8b, 0x18d856f2, 0xf82b1720, 0x40048835,
+    0xe4ee737c, 0x60f2381f, 0x471bbdf3, 0xa9b52466, 0xfd1ec19e, 0xa5c60f84, 0xddf0c420, 0xad7ede4f,
+    0x44865dbb, 0x90a07c52, 0xd5b0e091, 0x094b75a5, 0x3ef446e5, 0x2acbb0b2, 0xbfc3552f, 0x14311f18,
+    0xd5d5e889, 0x7e1f0595, 0x53eae7f6, 0xef74572c, 0xfa6fe909, 0x64256012, 0x349b840a, 0xf7943843,
+    0x4d1f0132, 0xde1d9aad, 0xf7e34337, 0x72dddc69, 0xf55acd08, 0x1c6363ce, 0xbfe0efcf, 0x6841cf70,
+    0xb9c8a725, 0x0284775f, 0x95254218, 0x08579026, 0x6738a55d, 0x5489a839, 0x212855fe, 0x19b385bf,
+    0xc25727e6, 0x41510029, 0xab392eb3, 0x4bbf13e7, 0x20a83b8f, 0x229679c9, 0xead1fe74, 0xe182cd2a,
+    0xd8201637, 0xdcc3b1ac, 0x296854e2, 0x266c297e, 0x8acbc41b, 0xb9d47574, 0x7a50740e, 0xe954e545,
+    0x477fc222, 0xa2f35d18, 0x5895530e, 0xe0029643, 0x82ff644f, 0x80f933d6, 0x9fff57bd, 0xf9a8652b,
+    0x471708bf, 0x1fcb9e35, 0x086a47e9, 0x0a43a1b0, 0x897b235b, 0xbda68fd5, 0x997ccfbb, 0xbe03d7df,
+    0xe9f4c3d2, 0x1a1e1524, 0xef00468c, 0x0da4b37d, 0x863e4a4b, 0x33dedccc, 0x014116e4, 0xf53b09d4,
+    0xf946a1bf, 0x9f82c9d3, 0x6d9c60d7, 0x0bdc7b6f, 0xf0c8e04c, 0x9a62291d, 0x272dbe50, 0xf09b72c4,
+    0x2e74ea02, 0x920c6fea, 0xccba198b, 0xb6fe50c2, 0xba26efa9, 0x62b43983, 0xa4e29a84, 0xbf31bd04,
+    0xb2ce5e34, 0xeda00474, 0xc6aa5a34, 0x6d43b21f, 0xefd20e2f, 0xa1133d1d, 0x332224bb, 0xbb81b0a7,
+    0xa1628270, 0x60dbd9f8, 0x23777ab4, 0x7b5981e2, 0xdb82b2b0, 0x3c06795a, 0xa5d93358, 0x0d0f8507,
+    0x9dc3b538, 0x8c5d66c5, 0xff492b3a, 0x2e4f8bec, 0x167d6bb4, 0xce26a4f7, 0x170a7f4f, 0x35d0d171,
+    0x2dd3242b, 0x613779f8, 0xcd140d20, 0x5b4e5508, 0xb9531f16, 0x3e78c26d, 0x730a3b99, 0xec36a117,
+    0x17b7531a, 0x31057382, 0x5e8c6ff0, 0xb6f7454e, 0x77567e15, 0xbccd6e93, 0xdb82ab7a, 0x1e78208f,
+    0xe71f05c7, 0x99fee6ab, 0x811893ef, 0x71cf265d, 0xf4bcde1f, 0xe7fe5386, 0xbf3423b7, 0xf6ea8bf6,
+    0x89a9025a, 0x541b7c23, 0x6276a814, 0xc3cc85a9, 0x9dbded82, 0x1fd6568c, 0x310119af, 0xc8640b57,
+    0x1b536d34, 0x6f85c79e, 0x4f97211a, 0x9446c6cc, 0xcded77cf, 0xbc8599aa, 0xfce0339a, 0xb6f72aa0,
+    0x99a5470d, 0xef18a5e9, 0x6b748143, 0xaf00c15f, 0xf66668b8, 0x3b254380, 0xd21e7062, 0x1e84fbb4,
+    0xdf901ede, 0xb1769bc6, 0x71bab5ba, 0x6539f336, 0x9bec531e, 0x49a3b3d0, 0x748d4dfd, 0xda11f148,
+    0xac186a29, 0x919e6b05, 0x928b56f9, 0x49f53c27, 0x9a9db1c8, 0x51c485c8, 0x61d5aba1, 0x946f0291,
+    0x05ac6035, 0x98aa8214, 0x118a220a, 0xf4a94424, 0xe782ddb6, 0xdd8acf7d, 0x57e55ef7, 0xf99cfbc9,
+    0xc13f7862, 0x29c1207f, 0x0d330826, 0x3d0947dd, 0x556c2741, 0x1ca97118, 0xf219936c, 0xfcd46bd3,
+    0xc01d968a, 0xb549d4fc, 0x957b3ef8, 0x3d4012e0, 0x21f377a8, 0x291362fe, 0x88b46739, 0x440e9eae,
+    0x7cfbcaba, 0x4dfe9493, 0x7a8697b5, 0x88e91d6e, 0x3401bac1, 0xd6444121, 0x5a1799a2, 0x8ea1f1be,
+    0xd0e98ff8, 0xbfc5046e, 0xb3f8f698, 0xa9c73cf0, 0xf4d21261, 0xb178c374, 0x7972a470, 0x776ec187,
+    0x6c0b7345, 0x1aeff702, 0x958875a6, 0x923de06d, 0xe1170119, 0x01530271, 0xc7226b22, 0xff7fe65f,
+    0x29ffa165, 0x432ee1b6, 0x4a03789e, 0x170a6ee4, 0x4d3d0686, 0x7ddafc83, 0xeb6cb5c4, 0x712440a6,
+    0x3dcb287a, 0x30dba8c0, 0xc39d52d1, 0x2c57a3fa, 0xbd9c7941, 0xd92cf9ec, 0x0b2cab17, 0x338eca8c,
+    0x22299aca, 0x297e744e, 0x8be17453, 0x8ba9fd4c, 0x3bf97f93, 0x631fb5f1, 0xe15947c3, 0x87913faa,
+    0x8e536c45, 0x6950ef26, 0x9d0b30e7, 0x2bb4167c, 0x61449b20, 0xee77df47, 0xd8ac7e48, 0x6a629ce2,
+    0x29a899d6, 0xa860ccad, 0x79e5b15b, 0x1a19a686, 0x0928c2d9, 0xbd498f6d, 0x2fd04079, 0xbd98ffc4,
+    0x5a7da7d7, 0x13bfa10f, 0x3c2171d5, 0x72fa685e, 0x11dd6dd7, 0xc8b81137, 0x1739e180, 0xefea0e11,
+    0x69df0b7c, 0xe898fcaa, 0x47e03e17, 0x831d55d8, 0x8f82a281, 0x5b556c16, 0x370dd2d1, 0xec272795,
+    0xd24ecb60, 0x33e7d6e5, 0xc35e8914, 0x8f915e1e, 0xe2ffe214, 0x1b697c5c, 0xa75dadb0, 0x3dd1f15f,
+    0xc69776bd, 0x1e44ee74, 0xfa8f8525, 0xafb234df, 0xf01f6f00, 0x6357da1f, 0x2502a131, 0xd9449a02,
+    0x7037618a, 0x3acc4260, 0x6b8daba9, 0x7dc9e373, 0x19dd940c, 0xf5ff2c39, 0x8ab01d22, 0x928278e7,
+    0x5d94ee29, 0x2a964c94, 0x3772de86, 0x076d9151, 0xca9392b4, 0x417c83f0, 0xd5e12d01, 0x5f362c7a,
+    0xd324f01e, 0x13bbb8f2, 0x338d51c3, 0xe723ce28, 0xe529ec14, 0x985586a5, 0xcbaa1299, 0x9fdf51f1,
+    0x043f795a, 0x4ed312fe, 0x079fe1d3, 0x5a515917, 0x167a2581, 0xa5aa7db2, 0xeb5461b1, 0xca7bfbdf,
+    0xd314414f, 0x137fee96, 0x7cfa1d3b, 0x26f998b6, 0x0f8645e8, 0x803c7c39, 0x1c42d311, 0x935abbe9,
+    0x7bf22c3c, 0x0d4fc92d, 0x1b783b76, 0x471914c0, 0xa77f469c, 0xeabd5c4f, 0x4d4d0dc5, 0x1eca4cd4,
+    0x356fb370, 0xc0b19aa8, 0x54cc04dd, 0x5b6e4266, 0x875d2643, 0x1e00bf55, 0xafd96b89, 0x5192e555,
+    0x1f3f3250, 0x6d0bf0c4, 0xb5d1c1e7, 0xe661385d, 0xc2d30ed1, 0x434b5f73, 0xc32666a1, 0x7f50ba7b,
+    0x9f371d7e, 0xf36e5c57, 0xb3d68cf0, 0x6f1de5cb, 0x5caa3715, 0x9fcd6e66, 0x24287002, 0x5522dda8,
+    0x0afa5b90, 0x88338767, 0x4924308d, 0x29d662c0, 0x7a97dce6, 0xc12aaf41, 0xc4c3f743, 0xfc0aee78,
+    0x7211156e, 0x928c6c8a, 0x01b7752e, 0x672437bb, 0x6a499e34, 0xb6914952, 0x429b9b5e, 0x81a1a8ae,
+    0x418be654, 0xc5310851, 0x6f47118d, 0x820cb138, 0xf81c5c2d, 0x4f447f10, 0x104b9ca1, 0xc100f25f,
+    0xfca6f532, 0x424e26c0, 0xa5e73858, 0x48d693db, 0x5fd4c51a, 0x58d080ba, 0x5d233b88, 0x5970b3c5,
+    0x190d3123, 0x47c0fd59, 0xb780531f, 0x2d79d17c, 0x847ca3cf, 0xab8bea3a, 0x51a1629a, 0x299af027,
+    0x66d8c53a, 0x046a9533, 0x30c3427c, 0x015e7309, 0x3dec0efe, 0x60a4038a, 0xe04c78bb, 0x867fcd70,
+    0x777ae6f4, 0x88c84aab, 0x61611927, 0x7c7002c2, 0x67af2208, 0xa5ed6dad, 0xc798ac21, 0x4e994a3c,
+    0x2f8e5993, 0x7b59d730, 0xb8b35cc6, 0x8a6be0ab, 0x8cf22919, 0x531353a9, 0xfffc8d79, 0x38ccbbff,
+    0x8f0f3927, 0xe8689ac7, 0xdb13da6e, 0x7b100a93, 0xa504a0b4, 0x1ffdc0ac, 0x8e85310f, 0x3f43e9fd,
+    0xa1c8f100, 0xad89e5ef, 0x888496be, 0xca96fdd4, 0x3ecd7a4f, 0x83ea1bce, 0xd2a5cc9e, 0x8e5dffac,
+    0xfbe1e66e, 0xffa927b2, 0x47f6d9a3, 0x0fe70a2c, 0x58c0ed4c, 0x7d2e61cc, 0xa111083a, 0xedb94f7a,
+    0xf75034f6, 0xf2b4db64, 0x2219d951, 0x117ceae8, 0x188e2593, 0xe12a6504, 0xdfed1446, 0xea795f08,
+    0xad7d8d87, 0x86ebcbf1, 0x9fc92f98, 0xb9e78215, 0x03a2af16, 0x8e20cde6, 0x64e239b2, 0x467260d7,
+    0xf3ab8ca3, 0x4e306c9d, 0x4c95c860, 0xea511dda, 0x3d0a5aac, 0x74967c9e, 0x964bbe63, 0xe89bb626,
+    0x3c565d15, 0x19ebf232, 0x16a51982, 0xd853efc7, 0x592344de, 0x542e3423, 0x0bf33d63, 0x079ef715,
+    0xe8f1ae2e, 0xf8160bb0, 0xf1bdb685, 0xa7ad7f30, 0x759e81dc, 0x324810d0, 0xd26eef8f, 0xf262de17,
+    0xabdbcb06, 0xf6abe72f, 0xbc4ffbab, 0x5ed5c993, 0xe990caf8, 0x18119e87, 0x27d68c3c, 0x91ab9575,
+    0xa72168f0, 0x3b6336f3, 0x08ab94d3, 0x9c184cc4, 0x5dd6785b, 0xe3e6b238, 0x317da1aa, 0x994b827d,
+    0x56f60852, 0x0e9fe865, 0x4aca762a, 0x75576e87, 0x85befe53, 0x42df724e, 0xf3712b9d, 0xfd5e0236,
+    0x2d0a0195, 0xad512be4, 0xbfcc111f, 0x4d71733d, 0x77a10122, 0x19abb2a6, 0xe7c8d966, 0xe7f62dd4,
+    0x65a7a25f, 0x207a293a, 0x77ee13bd, 0x116d6e3c, 0xfc716e26, 0x0bf0a29b, 0xc7574183, 0x55478bd9,
+    0xba5b2a48, 0xc7d3321e, 0x31aba837, 0xcf19de18, 0x56072bfb, 0xf4becae8, 0x5dbaec10, 0x044ae6bb,
+    0x257585b2, 0xe4361208, 0x2f6b0460, 0x743ca355, 0x7e6a3722, 0x27f40fcb, 0x41c95798, 0x9c437ee4,
+    0x363fdbfa, 0x6f9b9358, 0x1a7557ed, 0x386bab47, 0x7806899e, 0xb8bfa207, 0x6a013a90, 0xb4e580c7,
+    0xc11cc2e8, 0xfe79c742, 0xe1adf42c, 0x43a025dc, 0x850f7b04, 0x5bae383d, 0x3af064e8, 0xc49810a3,
+    0xab4c09b1, 0x8a1a09b5, 0x6452f2e4, 0x9b97de1e, 0x17da199b, 0x902bcce0, 0xb716d09f, 0x5d621280,
+    0x156bd6bf, 0xd94edd99, 0x2ff0a531, 0x631ad663, 0xf5cc82e6, 0x05202cb1, 0x1108e2ec, 0x87649cd8,
+    0x00000000,
+    0x76d05526, 0x8ab83170, 0x66bc0858, 0x461e98be, 0x9254dfdf, 0x1314ac5b, 0xa4ea8072, 0x94092cc9,
+    0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000001467839114233645767430925372993\
+                          33564210980159306769991919205685720763064069663027716481187399048043939495936 */
+  { 0x00000000,
+    0x4a618f0a, 0x5ce1f733, 0x5283664f, 0x850d3834, 0xbb002bec, 0x7157ff2b, 0xecb87a84, 0x69213b8d,
+    0x071b3b6e, 0xe248e293, 0xa46463b6, 0x4b1110cc, 0xc1e71c05, 0x589470cb, 0x041401da, 0x1d58afb8,
+    0xb9ac928d, 0x8116b561, 0x331e4d73, 0x3461ff21, 0x1c335b4d, 0xf5d9a3f0, 0x4d7245df, 0x2cb50b68,
+    0x96a2ca59, 0xf50b5387, 0xece57d4d, 0xd3b775fd, 0x42e3fcbe, 0x3913ff72, 0x1b42d828, 0xd6b27035,
+    0x656918a4, 0x64e50962, 0x2ccc6bb9, 0xc5398bb3, 0x340b1247, 0xbeb57774, 0xaae15580, 0x5bd39cb8,
+    0x15140cf9, 0x4c2213e2, 0x1396f622, 0xba7c115d, 0x7c27edd2, 0x9e687f0f, 0xfbe75c6b, 0xc249fb93,
+    0xb07af165, 0xd2b3b062, 0x36e07c85, 0x769906ac, 0xc2638c53, 0xcf87c796, 0xfbe4ce6d, 0x275ba25e,
+    0x429dbbaa, 0xd2e577c6, 0x1c547a07, 0x28d10119, 0x91233811, 0x8ff08dca, 0xe8fb496e, 0xaa1f6f7e,
+    0x47f4e50f, 0x5674a0b4, 0x4bbc2361, 0x2ca69538, 0xbf3b9aff, 0xe19752ef, 0x68a14e6d, 0x3cd20e15,
+    0xd3b15612, 0xd56a52b3, 0xe311af89, 0x02b83a67, 0x1eb7176f, 0xd6a50c9e, 0x7d428329, 0x55d651f3,
+    0x32edb2cd, 0x4a24d8b8, 0xc35ba52e, 0x4e69c4e6, 0x3ab47e23, 0x5e0683a5, 0x9060d874, 0xd0888657,
+    0xc0e2dfd1, 0x56f4d887, 0x5a7fa8a3, 0x35fafdc3, 0xae1d0590, 0xe1f5c64c, 0xe58289e6, 0x7ae80d62,
+    0x3c6091d5, 0x68134c1c, 0xcbc2914a, 0xba53b35f, 0x6969f039, 0xba010172, 0xa5c8473a, 0xabdf6aba,
+    0xf2b14408, 0x4b8534eb, 0x63528be9, 0x4ded0422, 0x26433873, 0x94b4e73a, 0x10aa07e7, 0x1f7e36e0,
+    0x57fe4ef8, 0xc7b5dd14, 0xd277b86d, 0xf6c0172f, 0x47feb64a, 0x8713b7ef, 0x42689c75, 0xec360f33,
+    0x2b8408e7, 0x8df40224, 0x17388775, 0xdbf7dc37, 0x01ae9b4c, 0xfbea512a, 0xc6325f06, 0x564d8f76,
+    0x71e046b2, 0x2bc55537, 0x947c801a, 0x458f6d77, 0x758dc7c0, 0x196f2af0, 0xbc037ed9, 0x706072e8,
+    0x5d403959, 0xd161c7f8, 0xa214bc7f, 0x4b3734ad, 0xbb3a06aa, 0xd32f78e1, 0xe1de6be3, 0x205da236,
+    0x082bcb44, 0xa08adcb4, 0xc5aef25e, 0x1c25901b, 0x18df26ab, 0x45a17990, 0x6c5bc11f, 0x625a3a90,
+    0x8e83a898, 0x1c589591, 0x168f4aa5, 0x2d0baaed, 0xedc37e5d, 0x359e2b6b, 0xcebff9f3, 0x4f81fa80,
+    0x8153702d, 0x0dec599b, 0x14522436, 0x60abdfc5, 0xc2d4766c, 0x38499cd0, 0xb96a99fd, 0xb68bbd8f,
+    0x45384be7, 0x76e56438, 0x01867b8e, 0x08848b33, 0xf3c3fb86, 0xb271a332, 0x58e31d4a, 0xc8056b72,
+    0xf7bfa12d, 0x61603605, 0x3c389b74, 0x18b687a9, 0x5d9a8e60, 0x01439c02, 0x9a4d4f42, 0xc4a825ac,
+    0xb449b48f, 0x362aa4fb, 0x3fb29082, 0x5e154529, 0xc22acd8f, 0xd6c1dbbb, 0xefa5d890, 0xbe4eadce,
+    0x920566ce, 0xf0526650, 0x95c25e5a, 0xe852b0da, 0xf7994d97, 0xb6dff0cb, 0x8df5344e, 0x009e7015,
+    0x78f3e2f6, 0x9ac0c90d, 0xd4feeba9, 0x099821ca, 0x856c7312, 0xb376d7a2, 0x1698229c, 0xafe07fa6,
+    0x752c9ef8, 0x62d4c57f, 0x5e4625c5, 0xf921e69e, 0x9cdd4375, 0x7998f05c, 0xd4682f28, 0xfade3a64,
+    0x5e2438f5, 0x6b553568, 0xa962176d, 0xf0ea1bdf, 0x7c2ff992, 0xe381629e, 0xadf707eb, 0xdc8f3373,
+    0x5c5401db, 0xfb237031, 0x6558260d, 0x9b504078, 0xb5f8297d, 0x390509f4, 0x751d8feb, 0xc10f365b,
+    0x95b06ca2, 0x21adac0c, 0x6efbc102, 0xb27b8105, 0x98d0face, 0x52e50e8d, 0x15ea568f, 0xc2b6b0cc,
+    0x90b6dbe6, 0x54c8c304, 0x46e677a0, 0x67927817, 0x7cf1c792, 0x13676bba, 0x55adaadb, 0x2866816f,
+    0xa30ff9b1, 0x29c032f7, 0x71d26557, 0xf887be56, 0x3433d65c, 0x5b29966f, 0xe367831f, 0xa4f7860f,
+    0xed5f848c, 0x12d257d7, 0xb85d5af6, 0x2c7fbcd8, 0x48319f79, 0x2c4830e5, 0x6c1f235d, 0x2039fc8a,
+    0x0591ae67, 0xdf9ce678, 0x74ee0f9d, 0x33b35370, 0xcc14f406, 0x70f8498d, 0xc0693c20, 0x0489f189,
+    0x77f6b623, 0x6028daf9, 0x21694338, 0xc59687ea, 0xe3117d16, 0xc78a4ed3, 0xc8590516, 0x28bfacce,
+    0xd4dd1d02, 0xd151f7a7, 0x160bf03a, 0xf0a2ee63, 0xf4a7e0c1, 0x58d90cff, 0x0641b8e0, 0x9722451f,
+    0x368ccfe7, 0x43f6737d, 0x3b0d29ff, 0x4ecd5aab, 0x6ffe6434, 0x685aadfd, 0x1fb9aec8, 0x9eb51353,
+    0x3ef2380d, 0x112c74b8, 0xd5cd2b1b, 0x416dc410, 0x546914a7, 0x54f1cac0, 0x56880eab, 0x1302dd42,
+    0x568aa5a8, 0x3386ba9d, 0xa0ad79fc, 0x08f963ad, 0x30e1a24a, 0x5bb57564, 0x6f7c11da, 0x6b9e7fdd,
+    0x34fb10c5, 0x693f30e9, 0x8194c870, 0x9e35ff97, 0x73840e78, 0x2698fd6b, 0x11e8342a, 0xf517b474,
+    0xfe215bc5, 0x22a443a3, 0xd5109059, 0x59498863, 0xf42ce339, 0x3b2ea9db, 0xa93597d2, 0xde397ccd,
+    0x4f9c3125, 0x5b8a2995, 0x81d83345, 0xd0095aaf, 0x354f17fb, 0x66ff7285, 0xd8e99a44, 0xc78667cd,
+    0x39434d09, 0x42a3c180, 0xb41f93f5, 0xff25d037, 0xc7e64ea2, 0x17307828, 0x7001b0fe, 0x9ac10db1,
+    0x2f95d67b, 0xc44e5ff8, 0x21530caa, 0xac46a2be, 0xd7498a23, 0xce39f628, 0x3b71e52f, 0x615a9b43,
+    0xb9155ed4, 0x2d9f674e, 0x97ffa8bc, 0x818a9c66, 0xadf9480f, 0x6e092cad, 0x51b6d7a9, 0x1b9f2867,
+    0x889468a0, 0xc7e3c73b, 0x3c64451f, 0x14b30889, 0x6e7a977a, 0x85a7fb41, 0xf3a7f53e, 0xb5ff9961,
+    0x421f4d76, 0x4974f7ba, 0x868389ef, 0x0967536a, 0x77cc3f60, 0xe3d56891, 0xd4924e81, 0xd095a19b,
+    0xa2bcf212, 0xd7aba8c0, 0x03050153, 0x645b5a2d, 0x90106b63, 0xbae05b55, 0xbefcec63, 0xf3891753,
+    0x85efc9fc, 0x5c0511c0, 0x4d789d68, 0xce2429b4, 0x3777f48e, 0x4b01ceee, 0x540f7214, 0xbe6a8856,
+    0x1f798700, 0xcae10df4, 0x3c2a2a97, 0x85a3a139, 0x103ddd43, 0xccbd779c, 0x4216b6c4, 0xad1d90e9,
+    0x0905be89, 0x79977db3, 0x7ec19e73, 0x347c8d38, 0xebc0f0e8, 0xc3e8fad7, 0x9c8015a3, 0x50c5648f,
+    0x3aae2116, 0x9f838956, 0xbd9855ec, 0xd9e367c9, 0x2f097e9e, 0x30482841, 0xdb986d13, 0x3f5ab6bd,
+    0x2f77fd92, 0x64d99e96, 0xb139f686, 0xaa609101, 0xc4566726, 0x5d20ac7a, 0x9d32e643, 0x41897fc1,
+    0x8486f953, 0x2b4fd409, 0x05eaaa64, 0xedc131a2, 0x24c5e482, 0x62664b77, 0x72d6818d, 0x1b3ae919,
+    0x135f513e, 0xe69802d1, 0xc24f36d6, 0xfcbbd1d3, 0xdeb3dedc, 0x204456b2, 0x96f3be05, 0xae6ee7e8,
+    0x236a0106, 0x6ccc4aa0, 0x002b84d2, 0xe52e9b6a, 0x573c8c82, 0xbed61025, 0xa3c6e424, 0x8d7521f4,
+    0x306eeb59, 0xda127f92, 0x571c1798, 0x17460351, 0xd3461e16, 0xb66d67d0, 0x5ba9e85a, 0x224660d3,
+    0x5200484a, 0xbce6cbd6, 0xdede3106, 0x36f7f1b0, 0x51e7d04f, 0xb18ddfcd, 0x54858d4b, 0x2e738f0d,
+    0xf84cb0f5, 0xf30f4ae1, 0x566debd6, 0x8c4b6b81, 0x06d5b040, 0x010867d4, 0x2cd44bef, 0x735080ec,
+    0x0377b92f, 0xf8cd81a0, 0x3bb0ce6f, 0xe97d0936, 0xe849a713, 0xad6096b1, 0x7dd89f3c, 0x1ce6719c,
+    0xfe436636, 0x52548488, 0xee0ab2ac, 0x732e01bf, 0xae8f4714, 0xa2df1c48, 0x9fd08845, 0x34aad053,
+    0x74dd910b, 0xb0c1b616, 0x576be756, 0xbace3f31, 0x880fe6ab, 0x50814ac6, 0x2002f238, 0xe438a80f,
+    0x7b77a041, 0x2425de4c, 0xb16e204a, 0x736f0523, 0xf6c097a4, 0x7dac5cb3, 0x524ee13c, 0x5bd41512,
+    0x61a5d922, 0xdc42286a, 0x13633e11, 0x5e03f11c, 0x3b020ac1, 0x5c22c1df, 0xc616e2c7, 0x532e2a5a,
+    0xe129d2ef, 0x8c136fd7, 0x3d88a5ad, 0x60cebf3a, 0x27554d61, 0x1baea1eb, 0x9b0b7fe3, 0x095009b5,
+    0x0439683a, 0xfda85f3f, 0x53b71eb3, 0x7bcd7502, 0x4e5014b6, 0x82c3863a, 0xa3179a4d, 0xa2f1b454,
+    0x9f81159d, 0x7b432552, 0x7d39d987, 0x6bfcedbe, 0xacee4982, 0xf65ca5a0, 0xc4942bcd, 0x33f2d474,
+    0xb103b1f1, 0x347482f8, 0xf4f4d750, 0x21366aeb, 0xd7f3b863, 0x899a6711, 0x1b0e6f96, 0xb8a93477,
+    0xd589b2fd, 0x2ce61274, 0xa6ab6aca, 0xeb558704, 0xc3eb1383, 0x6b2c2dd8, 0x3c423e69, 0x72e005d3,
+    0xc04060b5, 0xcb933ca4, 0xae9b73c9, 0x607c27fa, 0xc2c0520b, 0x1d1cd353, 0x309d1841, 0x8d09edc2,
+    0x09332f5b, 0x28808ad1, 0xa49439cd, 0x0e40a9de, 0x74b00a46, 0x245c4591, 0xdb474f68, 0xf84505a1,
+    0x74f20d4c, 0xd6425f73, 0x3d686766, 0x08d5d457, 0x8b3971f9, 0x39d03a5a, 0x4cf04eb2, 0x6c936646,
+    0x76e6edea, 0xa9a9323a, 0x43bc23c5, 0x951aa9b8, 0x2670b71c, 0xe5f6c0aa, 0xd26e3f6c, 0x73435d4d,
+    0x0abfe11f, 0x7d6ffd4f, 0xbb727da0, 0x90f221e0, 0x80f16f09, 0x27ec59e9, 0x13e882f3, 0xa36acb23,
+    0x2f165d8b, 0x8d7f53b8, 0x12ae74a8, 0x5edbd540, 0x44d0f5e3, 0x2a3f7901, 0x30112438, 0xa088ef84,
+    0xa91310bf, 0x9155f690, 0x6a09136c, 0xacfca630, 0x0b30cdfa, 0x3ec2bb33, 0x4e81ad74, 0xfd2a2582,
+    0x996de63e, 0xd90358c6, 0xd48f2299, 0xc7dd7952, 0x39cc3607, 0x89209f8c, 0xfaf5bcab, 0x29cc4c4d,
+    0xc2a1ff06, 0xb2a4fd5a, 0x0b0eb02a, 0xd94cc43a, 0xfd8daf90, 0xb34fbe34, 0x4436366f, 0xd9df7fb4,
+    0xd7b6a2f6, 0x160d655a, 0xcf0e20f5, 0xfaec641a, 0xb2ca8369, 0x3bad1194, 0xb34af44c, 0x057ef8d5,
+    0x5aef3ccd, 0xb1115a6d, 0x7d9d389a, 0x24febf82, 0x2f861d1c, 0x460e968e, 0x61410121, 0xb14866a6,
+    0x4d08c41c, 0x2aec0f43, 0xf68d6d6b, 0x81e5eb2c, 0x78a8f2f0, 0x444faa49, 0x1809f57c, 0x14dcbaa3,
+    0xf2dcf47a, 0xac847b09, 0xeb4190b5, 0xbf27f7ea, 0x21e52491, 0xcb32d3c8, 0xb8878a8f, 0xb916843b,
+    0xdca0a102, 0x49ef72bd, 0x28c5cb8d, 0x0696a362, 0xd25583b2, 0x1179b3ab, 0xb942670c, 0xf6918aa3,
+    0x5d7c6f1a, 0x45830d9b, 0x24244e45, 0x3bb1cd24, 0x8d3e4411, 0xc32916a7, 0x3e1eee59, 0xe9132581,
+    0xfc71f678, 0x85b53b6a, 0xec6d1015, 0xd43b33d5, 0x761067b2, 0x6bb76749, 0x0f74e783, 0x1e870641,
+    0x7aaddf0a, 0x926d2673, 0x2c3532ed, 0x42669a8e, 0x180ee2bb, 0xaf0d576d, 0x17b8ca9f, 0xf94836c6,
+    0xe1f6df7a, 0xb9f2233c, 0xb31d5a53, 0x325f326e, 0xab8ea5f7, 0x01ebc4bb, 0x79a978d7, 0x29b399d0,
+    0xe883f835, 0x1bfdd14e, 0x33d37056, 0xed2b0fdb, 0xf09e1b06, 0xed8684c3, 0xb06510f3, 0x4b58580a,
+    0x6ff3d4fc, 0x0f97723e, 0x3f4776d9, 0x8b5ed7f3, 0x33071f54, 0x9f34b3b6, 0xbe281bd3, 0x82ec6281,
+    0xb54f6433, 0xcd54bc58, 0x36209ad1, 0x371cc251, 0x00f6d4f3, 0x0fa3a09a, 0xa92594de, 0x95982d69,
+    0x11d94217, 0x834721ff, 0x317d6dc8, 0xbe56b69b, 0xe1387ded, 0x82e454e3, 0x59082e72, 0x6ebad22e,
+    0x10745405, 0x5eeb3a8b, 0xda439502, 0xdb45e788, 0xaffe4b99, 0x3f391013, 0xfd2586b7, 0x0ec65ab1,
+    0x23aa3112, 0x66e8f574, 0x22bb3d0c, 0xaa071d73, 0x65277a5c, 0x49d18354, 0x7b8861c5, 0x69c5bfb2,
+    0xb7cb20ec, 0xe28f16bb, 0xde95359d, 0xf9843966, 0x453b5f4b, 0x60b89674, 0x8d264b96, 0x3ad6c205,
+    0x2eb2c9a2, 0xfc690c13, 0xb38663e5, 0x8e86f171, 0xa70a24bb, 0xff2d9f61, 0x67804c8f, 0xf5f67e16,
+    0x7b0e36f6, 0xe2aff20d, 0xb703f33d, 0xe77022ae, 0x9ec9f2e5, 0x0b701fa6, 0xff8504a6, 0x9286e491,
+    0x25f5e03c, 0xce0200d9, 0x436a3bab, 0x8a6ccc9d, 0x1cf7d28b, 0x79437d13, 0x5f806bb5, 0x131358d7,
+    0x4e9a7cb8, 0xb7f60124, 0x4e0fe833, 0x429dfe12, 0xfadbb143, 0x627b1cd3, 0x017d4132, 0xd9d4783e,
+    0xc01e2afa, 0xad586bde, 0xcd71656d, 0xa6ef47bf, 0x10a83447, 0x122e034c, 0x92c76f12, 0x6d1e1375,
+    0x31299f65, 0xd0bc2c02, 0xdfb48707, 0x67307235, 0x98fd22ea, 0xd181a837, 0x3063f2f2, 0x16d94738,
+    0x3c097a70, 0x741052db, 0xe80c15dd, 0xe4c07517, 0x9db8409e, 0x9d2fdf48, 0xa410dee5, 0xd02b7164,
+    0x4d6fb276, 0x355f49ad, 0xa0660931, 0x15af5cc1, 0xd2e9d52c, 0x56167ab2, 0x021f288c, 0xb46e09f5,
+    0x9476eb7e, 0x3361de4d, 0x1d1f6dd4, 0x435e3329, 0x8ad9e742, 0xe0738f12, 0xb48610b1, 0x85f8469f,
+    0x60fe8c70, 0xfded0d26, 0x4f0709ef, 0x09449dd7, 0xf278f20f, 0x43295ef2, 0xa54cf183, 0xcb31847a,
+    0x67baa6ab, 0x20d0be40, 0x05ccb47e, 0x7140b47f, 0xe426bce9, 0x8b2acab7, 0x6ca68423, 0x84d131b1,
+    0xb0b52cb7, 0xbfddd43a, 0x049e112b, 0x9a029ecf, 0x364717f4, 0x79973f36, 0x8ffcb055, 0xb50688fe,
+    0xe1950399, 0x65abcdc6, 0x33bc3c33, 0x34a26985, 0xc2302d4a, 0x1be05c54, 0x56206504, 0x651b4990,
+    0x215d7421, 0x007266eb, 0xf1a7b206, 0x69d05127, 0x1fae081e, 0x62dea6cb, 0x30171d86, 0x4bb6d7f9,
+    0xdf7b9cc7, 0x89ff3671, 0x164eabbe, 0x08625a7b, 0x4dc70682, 0x0ee5649f, 0xe1714fd7, 0x90c0ee1b,
+    0xb8172896, 0x5f94db49, 0x34846111, 0x3d90da2d, 0xca4eefa0, 0xc0eb64c3, 0x2025b999, 0xacb6a914,
+    0x20e45444, 0x557631c9, 0xf167c6ed, 0xf6abb6b0, 0xa2351dc2, 0xafd8f11b, 0x7036fcb0, 0x5c562050,
+    0xc542004e, 0x8f61edb7, 0x37a370a0, 0xb8a75e56, 0x31d9ca66, 0x25df2d00, 0x6c8da5ae, 0xcdcfca9c,
+    0xfbc78d15, 0x9f56b485, 0x06595a50, 0x5d8cace9, 0x535c1aa7, 0xb6b77f77, 0x9ca1f9bb, 0x57304fc1,
+    0x5da093b6, 0x42049b2c, 0x0439d037, 0x5cf43eb7, 0x27f54225, 0x61d26a3c, 0x77961180, 0xe38b55da,
+    0xced888e9, 0x4478f9aa, 0x4e3bf7ee, 0xb59c0d86, 0xb47f9a4a, 0x009347a9, 0x49cd5136, 0x5ac64555,
+    0xc12b7835, 0x42540c6e, 0xfd66bf9b, 0xf02d43de, 0xf9282a2a, 0x4ed234c5, 0x17842273, 0x59add0f6,
+    0x46085f69, 0xa3eea2ca, 0xd19f36f3, 0x2faa5339, 0xf0f4668d, 0x164509aa, 0x7f9777b6, 0x0de4773c,
+    0x56a33193, 0x3217ddf2, 0x743950b3, 0x27ea2beb, 0x3b621acf, 0xb3aee2cf, 0x038b1067, 0xea87dcb9,
+    0xfee7783a, 0x9422ce9a, 0x5ac653b5, 0x2f5a378c, 0x4c61f8d1, 0x0dc868bd, 0x72a7ca20, 0x43382b63,
+    0x7615d3c8, 0x24ea03e0, 0xcff25b3e, 0xe3eee2c1, 0x85436a2c, 0xfff67666, 0x54a87bd7, 0x928430f7,
+    0x059b1f91, 0xe85eebb8, 0xd28e42e3, 0xc1585a46, 0x5afac2a9, 0x9c3c40ec, 0x08260576, 0x12825116,
+    0x430d8810, 0x84c61a19, 0x3c62e597, 0xb9377643, 0x2783194e, 0xe1537e50, 0xc0de3da9, 0x9f6b5fa7,
+    0xc99c8bd9, 0x54887fb4, 0x60e84b54, 0xfb5808ed, 0xf2326800, 0x207fb6d4, 0xdeffddef, 0xcf939a00,
+    0x6901758b, 0x8e59c3cd, 0xcc0dd4da, 0x903ece7c, 0x31c3da47, 0x9acb0139, 0x7e6cca29, 0x647dd6ce,
+    0x84388142, 0x32c4c8c0, 0x368d77f5, 0x7014a282, 0x38d2b0da, 0xfc5e8283, 0x2a731c59, 0x36662a52,
+    0x73cd6dbb, 0x8452c3ff, 0xa2fea1d9, 0x5333b025, 0x72514827, 0xee3fa4dd, 0xf6c29bd4, 0xba2c71a2,
+    0x00000000,
+    0x3b682a92, 0x455c18b8, 0x335e042c, 0xa30f4c5f, 0xc92a6fef, 0x098a562d, 0xd2754039, 0x4a049664,
+    0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000733919557116822883715462686496\
+                          66782105490079653384995959602842860381532034831513858240593699524021969747968 */
+  { 0x00000000,
+    0xb18b2550, 0x2eee718d, 0xa3caa632, 0xb3a1fb33, 0x5bf11566, 0xfae44b3d, 0x5cbf98da, 0x74d8b641,
+    0xebb9809c, 0xa40c1adb, 0xf22e9d4d, 0xd39db68b, 0xfe8758cb, 0x0a275b59, 0xc0ba9fc8, 0xc39881e9,
+    0x5be9f664, 0x3c9d7505, 0xc1283db1, 0xf423269d, 0xa999b630, 0xcdbea94c, 0xd376bd7f, 0xac710d71,
+    0xcaf94aa2, 0x1a23a51a, 0xe31b0614, 0x36f8d3c2, 0x2e653635, 0xe2cce717, 0x40c21b31, 0x7b63eb5f,
+    0x9a1ee4a8, 0x1c8af480, 0x2f676762, 0x2d1b83ff, 0xf320c0b4, 0x97b2aa9b, 0x0bb03a25, 0x5b9fc39d,
+    0x1b886fa5, 0x48d7f986, 0xc265c8e1, 0x44fec739, 0xdef49361, 0x75d30649, 0xdfb65e7d, 0xf49b40c0,
+    0x1ea90f76, 0x3e619c6e, 0xa74583af, 0xede0fe29, 0xf8aaff41, 0x2726a368, 0x9d915301, 0xd6479ae6,
+    0x855bb383, 0xf490180d, 0x4ceb7081, 0xada7a3a4, 0x66df2c10, 0xd9b5a5db, 0x792efc33, 0xa3dd1c00,
+    0xfb82929d, 0x32b6757b, 0x6f22b41b, 0x524c3dc3, 0xb43bacc3, 0xe2be14e8, 0x60b3272a, 0x6c6183a9,
+    0x60d80507, 0x81f3d172, 0x77e9a373, 0x28cf62c6, 0x888c4ee0, 0xc9ad76f5, 0xe0087d02, 0x04481c01,
+    0x61ab74d9, 0x07965e1a, 0x4aef17a7, 0x93b92e5d, 0x3113093f, 0x4fd4b816, 0x31479e2a, 0xeb965422,
+    0x32bcccaa, 0x3231e0b6, 0x1b225e4c, 0xa430e171, 0xc4c75c49, 0x551031b8, 0x39bb2c78, 0x7da6ec07,
+    0xb8c3f807, 0x3be559d4, 0xd39069da, 0x4caf53e5, 0x165363af, 0xb3d60dd0, 0x72c07f9f, 0x33ad61bd,
+    0x7c0d18d0, 0xd10551fc, 0x8bd45c2b, 0x03bcf956, 0x01d18384, 0x565a3fb8, 0x687f783d, 0xc897fba0,
+    0xf86d08bf, 0x296413c9, 0xe65b6536, 0xd1f0d65e, 0x6a295fb7, 0x64842263, 0x073e1f1f, 0x1e29acce,
+    0x2b11e553, 0xa64e48a7, 0xa42ca970, 0x4f0dbb7e, 0xc11d5c9a, 0x9c7bc430, 0x18731134, 0xe2a67794,
+    0x70f063f4, 0x6f46732e, 0xa1a94d7e, 0x59090860, 0x9f8a21dc, 0xb9e507a2, 0xfcd65bff, 0x657f55f5,
+    0x0798f897, 0xb22d5776, 0xcb750287, 0xbe49b8ad, 0xe304de08, 0x0bcb4912, 0xedb7c358, 0x655b85ca,
+    0xd21ddc72, 0xb296a989, 0x371d7e7b, 0x18c485af, 0x2a8cfa19, 0xecc1c596, 0x5852fc0d, 0x6005c6d5,
+    0x2a4a7417, 0x0f4ad401, 0x47ffda44, 0x28a3f152, 0xea2c9686, 0x5eb47171, 0x9ab1a1fd, 0x53dfd941,
+    0xffb43458, 0xadd0115c, 0x00b8269e, 0x1b1fafaa, 0x211c2fc7, 0x98681e2e, 0x46674e7e, 0x7477c0b0,
+    0x1f418696, 0x3b8c032e, 0x28e280f9, 0xdf8094cf, 0x2d364685, 0xef7837fc, 0xf8ba0f1e, 0x0d5c6802,
+    0xb44487fa, 0xf2c59b5c, 0x035ec63e, 0xc773f851, 0xf209b9e2, 0xfda8d710, 0xd84c65a0, 0x7d11e286,
+    0xabfb5bf6, 0x49d01d82, 0x3d993100, 0x82c104eb, 0xb0853d5e, 0xb26e2294, 0x612f2a61, 0x2fa0d361,
+    0x0a6a331b, 0x34c37b5f, 0xb1a258ae, 0xb0b104a3, 0xbdf6e3b7, 0x48d3d33d, 0x2b2d260d, 0xd16a5b36,
+    0x75c090a0, 0x79ff5a38, 0x109d71db, 0xfa4c8534, 0xafa93330, 0x52a63580, 0x7500aa6b, 0xba310f54,
+    0x89389aef, 0x2ad2cffd, 0x5c2c6760, 0xc3b8e462, 0x6ac57922, 0xa3376c92, 0xa0274a1a, 0x62d2faba,
+    0x3b27da54, 0xcef3f44d, 0x3596ed5c, 0x3a624ce0, 0xd3e77da6, 0x7535ffe4, 0xba095c6d, 0xbacf3893,
+    0x0fa027f1, 0xa807be40, 0x1b1a44e0, 0x0888bd6f, 0x5fb25c4a, 0x0ecdbfcb, 0xd4577179, 0x843f80ad,
+    0x72ea7d4c, 0x3797425a, 0xcc23ea7e, 0xba4ff80d, 0x9d5d4a0c, 0xdac429c1, 0xd21a4d0a, 0xbfe26774,
+    0x66b3f301, 0xc54fc5e8, 0x32920507, 0x28c8b359, 0x1a0ed1cd, 0x5a68cada, 0x29a1f9ee, 0x3d98a358,
+    0x27c04e81, 0xea5c630f, 0x54a8f5e6, 0x313cd7e4, 0x7d9148af, 0x593c839b, 0xbbf067fe, 0xcec090a5,
+    0x3e10b9a1, 0xdf9e5787, 0x907bac2b, 0xc4c4135a, 0x80a0e9f9, 0xd96dde4c, 0x3f74e1ca, 0x0a3da238,
+    0xa1352b43, 0x4029dd6c, 0xff3dd41b, 0x51f2a2f3, 0xbb7cec36, 0xba47e466, 0x2c0b49ef, 0x00a10b5b,
+    0x06ecee53, 0x45931523, 0x728bbe23, 0x0e1bce47, 0x8c504916, 0x352ce001, 0x351713df, 0xded17ae6,
+    0x3ad8fa20, 0xca99377d, 0x4bfd2934, 0x53705872, 0x369665e9, 0x7d1d6883, 0x0c1d8a42, 0x9c168631,
+    0x98739059, 0x6e2fc962, 0x83473655, 0x6a4f4db3, 0x85873a00, 0x6fbe65b6, 0x9dbf7074, 0x25b861da,
+    0xa4d15196, 0xdb16df58, 0x788d3421, 0xfe0ab9ba, 0x3bf6671c, 0x98555c12, 0x92e23bd3, 0xaf264535,
+    0x30b15544, 0xc6efc58a, 0x536c8740, 0xbfa96979, 0x068e74bf, 0xd0c63281, 0xb99fa8e0, 0x5607ab19,
+    0xc4d3e688, 0x9159ec28, 0x4ab69020, 0xee71d254, 0x33fd4f99, 0x2db99d7a, 0xcaad05c5, 0x5b4e35ba,
+    0x0253b707, 0x71b4dd00, 0x3e3aafc7, 0x55a18a8f, 0xef1afe9d, 0x8038fb01, 0x51088ddf, 0xcb4ddf83,
+    0xb16771d5, 0xb4603acc, 0x4652bfbd, 0x229b345c, 0x4000f43d, 0x5ad7a56f, 0xa7ace826, 0x8a2d204d,
+    0x61729886, 0x0ef14edb, 0x46811710, 0xd100d261, 0x284cadc6, 0xfa5c92cf, 0xdb9b93ea, 0x4ba91684,
+    0xda40180c, 0xcc7ae821, 0x2d188f9f, 0x99c7a12f, 0xdd0f384c, 0xc480fae0, 0xffa31cca, 0x5584e443,
+    0x2970f2db, 0x358f956d, 0x05272404, 0xc35699d0, 0x81e688a4, 0x4e5e21d5, 0xc4a1baf6, 0x859cae34,
+    0xf51f2313, 0x1dfc3498, 0xafd8514a, 0xff811f22, 0xaf424629, 0x63b255ef, 0x1a95fa5d, 0xce7af187,
+    0xbb43be0d, 0xcffc79ab, 0x02507997, 0x8eca126f, 0x81fceb5d, 0xd67bc0be, 0xd9c15f55, 0xd93f2454,
+    0x40e5fe64, 0x14ff2e8d, 0xd996a34c, 0x5246f543, 0x53d358a5, 0x004818bb, 0x394f0540, 0x83a5c8b5,
+    0x2d9bc688, 0xe9e7b454, 0x7a9b76f1, 0x36c166d4, 0xa9b28c04, 0x329bc783, 0xafaa6e11, 0x8ccc94d8,
+    0x7d0de6e0, 0x6796af7b, 0xe10a266e, 0xc0b13a63, 0x7441eaea, 0x72db6f3e, 0xd793a1aa, 0xe8ed0830,
+    0xde8ded5b, 0x58f50744, 0xd56011ea, 0x076d4e97, 0xec80e476, 0xeccd7b8e, 0x2de353bc, 0xc88cd696,
+    0x4d0ffe87, 0x57da00ed, 0x8ccaf53c, 0x9c566dc3, 0xe9eca394, 0x578e9e68, 0x71274d00, 0x56721f05,
+    0x51861129, 0xed53bfdc, 0xb5c1775b, 0x61675a7c, 0x755e1a20, 0x301a37ea, 0x85f28dfd, 0x3ace290e,
+    0x50866a4b, 0xcccf1c94, 0x71127120, 0xa24d533a, 0xc3c20e5c, 0xfcfa0392, 0xd5e1d65d, 0x6ba8eee4,
+    0x8a29a057, 0x256c8f1f, 0x78433686, 0x2e13e687, 0x030a50b0, 0x1011ea9a, 0x5cbb74ce, 0xb5f92b86,
+    0x9a59d332, 0x6f24d20e, 0x8bf2f412, 0x96479f93, 0xe15907c8, 0xa0a5ade5, 0x58b12092, 0x1e642c47,
+    0x912e7e63, 0x888a2e97, 0xf256701a, 0x60d209c4, 0xc85897fd, 0x41db64b4, 0xcd35c781, 0xecec143c,
+    0x296081e4, 0x510666de, 0x978affcb, 0x68779ede, 0xc4929940, 0xdbfa670a, 0x2a42b987, 0x23c76269,
+    0x4d98ff14, 0xd1c821c6, 0x187624ed, 0x6290e904, 0x7a1d3bc4, 0x49e3aa88, 0x783e1f30, 0x6f4b67cc,
+    0xbf75c3ae, 0x4c9cfe3d, 0x41070701, 0x647d1f72, 0xc98117cf, 0xda4ab506, 0x5c953ba5, 0xb7ffa6a3,
+    0x9c9f4e5f, 0x3db80706, 0x5c44beeb, 0xfe22c36e, 0xbd0136eb, 0x0915ec90, 0x7c998960, 0xee135eae,
+    0xb02d33cd, 0xc7594b42, 0x55ac3689, 0x06433569, 0x84824385, 0xc6a1fca3, 0x79390f17, 0x71c9ae6d,
+    0x794efd8c, 0xc4dfcf7c, 0x4267c3b3, 0xccb62d37, 0x04d838e5, 0xe93cc70d, 0xa1595e07, 0xc10d0075,
+    0xd9035293, 0x5d20f303, 0xd4e1c474, 0x1e05fd1c, 0x03a6ce92, 0x424d9db0, 0x5b0e0260, 0xbafcea10,
+    0xc715d793, 0x785677f4, 0x0d28f4a9, 0x044f99a3, 0x1b2f2208, 0x4221570b, 0x0df5774d, 0x1ae6aab6,
+    0x97429967, 0x427c7fc7, 0xac6b0885, 0x4aa2934b, 0xee31ef61, 0x7546360c, 0xb394e01c, 0x0168a266,
+    0xa383a807, 0x4a62f59a, 0x0a73ad56, 0xa3122fd9, 0xa4ff92dd, 0x3481b25a, 0x9f6e54ae, 0xb784c11e,
+    0x47926177, 0xe59b12c0, 0x473b289e, 0x52bffb39, 0x82de7a0f, 0xb1ae8ada, 0x3e63c24f, 0x0f6656cf,
+    0x95561b60, 0x2f9620a1, 0x98706e0e, 0x9493b72e, 0xc470017c, 0x1fc45f54, 0xb19b1bac, 0xef3ce634,
+    0xc3ebca8e, 0x04476136, 0x5979dd6b, 0xef4028a1, 0x0e4ea73d, 0xf13983f0, 0x5f6768e8, 0x99737948,
+    0x7a235459, 0xc06ffc1e, 0x28beb1b8, 0xe84079c0, 0x37de35fc, 0xe0f1467d, 0x4a3cb319, 0xe179417c,
+    0x3b30193b, 0xecb4940c, 0xef4d01c0, 0x3a1fe457, 0x813409d5, 0xc9432223, 0xdf298ee8, 0xf7bff099,
+    0xefd9c666, 0xc8cf51cb, 0xfff268c0, 0xde77b47e, 0xc5e9cde6, 0xc8a370e6, 0x2d646951, 0x7c770d99,
+    0x9225d779, 0x09632d65, 0x97e5a95f, 0x5eebfd87, 0xda2684f4, 0x705acdca, 0x45970a99, 0x828ce394,
+    0xe75c14a0, 0x540f6a28, 0x6e1d7bd2, 0xcecf2d83, 0x19dd8276, 0xc75b301e, 0xc1bf6c2b, 0xdf273663,
+    0xb4b6b38a, 0x3acc046d, 0x8374f0a7, 0x7c3e0227, 0xd01271d9, 0x0438a8c2, 0x762d2091, 0x0754b1ec,
+    0x21ad83b5, 0x0c46e8b9, 0x98326493, 0xc7b575df, 0x32762dc4, 0x5f1ae0f7, 0x6c219cf5, 0xbcca3604,
+    0x23a5cc78, 0x579058cb, 0xe3e6f450, 0x9397851d, 0x0550693b, 0xa9ecc0be, 0x3ebba8f4, 0x868755a5,
+    0xdba75a43, 0x8403a30e, 0xcc5ae606, 0x6b9e600f, 0x83d7e2b2, 0xf9ab35d4, 0xa7db0244, 0xb37b0ee6,
+    0x42ed3146, 0x114b469b, 0x26d50300, 0xee51d057, 0xfe08e8fc, 0xec0c6bfe, 0x5143a423, 0xbe2246c7,
+    0x156cb68c, 0x7d251b84, 0x9b565254, 0xcdb2c449, 0xd44f0ecf, 0xd77ef1d0, 0x18ac12ff, 0xecd8a820,
+    0xe95a27a4, 0xec8a7cd3, 0x99cfaae4, 0xf98dde9e, 0x9e4fd69e, 0xb6b812d7, 0x8856a7b8, 0xb3b2fc4a,
+    0xa3685201, 0x24996612, 0x3fe107f2, 0x5ee5c5b8, 0xbfbb58b1, 0x0f0e6088, 0xf540d0a8, 0x1ba5bd52,
+    0xfd34f1b5, 0x96f805e6, 0x067cd6af, 0x1bb22b5f, 0x3015b6fb, 0x55e8b176, 0x064382bc, 0x61cee270,
+    0xb3e68bd6, 0xa087b6d8, 0x1c4f7e6f, 0x38694ca1, 0xad253713, 0xe6e5be3f, 0xb910a7e7, 0x59a5db08,
+    0xe461ce1a, 0xa280bc42, 0x72fb4a7b, 0x07d87017, 0x13e7fbd3, 0x36cc47f7, 0x38e7ddcb, 0xf463613e,
+    0xfb23a7ee, 0x6206b2a5, 0x7d4a0e78, 0x59b50312, 0x87533ab9, 0x5d2c14d8, 0x2d10de5c, 0x6edf7dff,
+    0xa8dc12b9, 0x5923df0b, 0x119f6ddb, 0x44f8d4c9, 0x8a28d83e, 0x7b2e0ff6, 0x62db7bbe, 0xfad7d615,
+    0x7a9241d0, 0xda73e8fe, 0xc98389b1, 0x13e71df1, 0x2ad29fb5, 0x0e9832be, 0xf877275a, 0x29e30c19,
+    0xf7955956, 0xdd43cf9d, 0x720c3c0b, 0x574996b7, 0x96234642, 0x3f9eebd7, 0x5c5ba7d7, 0x7378c905,
+    0xbd09ac1e, 0x18c4d153, 0xf26321ea, 0x792b0b9b, 0x1e68378c, 0xf62c4078, 0x876b553e, 0x975c88bf,
+    0x738649fc, 0x2bddd3a2, 0x8b177874, 0x8d46b684, 0xfdbf2265, 0x2cb679b2, 0xab9f6a6e, 0xd75bcffc,
+    0x0f86cb23, 0x9ed9730e, 0xa4c7ae48, 0xf04d348d, 0xdbd4e0ca, 0x86cb09ff, 0x665ad058, 0x114ee16b,
+    0xba05a065, 0x2e31d5ce, 0xd3cbcbf5, 0x2f1567fd, 0xad20ca3a, 0xb13420a7, 0x460f0946, 0x267fc440,
+    0x447747f4, 0xa9e27762, 0x07e072b8, 0xc2f6aa93, 0xb63688e0, 0x15fe9986, 0xc4f70280, 0x81974ee9,
+    0xd4a33ce4, 0xf4ee5614, 0x512defc7, 0xfe720252, 0x68282fd5, 0xe56f719f, 0xcc457bdd, 0x26c7c894,
+    0x23780a0c, 0xc40a1bde, 0x28832e03, 0x3f9a546e, 0x73f8b945, 0xa6a52df3, 0x9c05f65a, 0x52423a60,
+    0xbe70515d, 0x8c1baec6, 0x7e170a8d, 0xaa76cd80, 0xe7948db5, 0x05f36762, 0xed0a0244, 0x769744e4,
+    0x42335134, 0x858a3bb9, 0xc3c28c17, 0x4cea1f22, 0x2cb12304, 0x99214caa, 0xe1935d9f, 0xb830fc18,
+    0x6b6d7b33, 0xb6d205a6, 0xfef9be1a, 0xad1b85ca, 0x4a7f1ac4, 0x076a7173, 0x234df6b9, 0x0ba21103,
+    0xd13b53f2, 0xfe64945a, 0x20989e70, 0x94ed672d, 0x6201a108, 0x17b79397, 0xfa983341, 0x4436e154,
+    0x8e48b339, 0x52c2912a, 0xe390ad3c, 0xd37c6500, 0x2c19198c, 0xd28e0d14, 0xa8d36d72, 0x0000082f,
+    0x582dcf40, 0xf1e4dd0d, 0x53df40dd, 0x3098e7cc, 0xab31c8d5, 0x5e31c2a8, 0x0e1e282e, 0xcc484a67,
+    0x4770631f, 0x7a133e67, 0x738ee117, 0x913c0ab6, 0xc8df1d23, 0xc203f7b0, 0x4dde5400, 0x544c7a99,
+    0x92d89224, 0xab23ce8b, 0x99305532, 0x005e7995, 0x5523264c, 0xd41a842b, 0x09d0eba0, 0x7db6e687,
+    0xbb5f3bd0, 0x50084950, 0xf127a46c, 0x9f19b1f3, 0x6a5ee474, 0x135a5805, 0xdd841e5b, 0x766d6791,
+    0xe145aa96, 0x7c254f31, 0xdb0dc93b, 0xa1e16a0f, 0xc1de9707, 0x7c493c61, 0x0e76a042, 0xab6cce56,
+    0x4978a438, 0x5328ef08, 0x0d15450b, 0xcde133da, 0xe329c618, 0x36e4508d, 0xda806912, 0xb05cc694,
+    0xae755c2b, 0xee434514, 0x7396e13e, 0x35006b56, 0xb5f94d8b, 0xc21de174, 0x64b2a196, 0x504d4f28,
+    0x664b9327, 0xf2b7c2c1, 0x8318b899, 0xadea4a6d, 0x73293cf5, 0xd29cc1f5, 0xdd5b41de, 0xb8d6ef45,
+    0xc3ae8b69, 0x9a5f2811, 0x10cfb6c1, 0xd88fa3a1, 0x0a6658ff, 0x17929aac, 0x38445376, 0xda67a8fa,
+    0xa1fbbdf6, 0x83692d36, 0x77f2eca4, 0x751fe231, 0xc27be556, 0xadb9c409, 0x48040b45, 0xcb4ab4b8,
+    0xcb03ed4f, 0x0e811704, 0xba1752c2, 0xb2c48945, 0x8649fc55, 0x18d962c7, 0x595e559b, 0xf0d13e88,
+    0x27a706be, 0xbb826630, 0xcfff7abd, 0x902c30f3, 0xd5c8f1d1, 0x9d66979e, 0xf5d6aedd, 0xd32e4ea5,
+    0xac88041d, 0x51d7f32a, 0x575a2659, 0xc9e5e499, 0xdd1dc55f, 0xd1f09c60, 0xe9ffcbc9, 0x858a9b13,
+    0x24f0574b, 0x064c12d6, 0x7d249084, 0x9ad8a790, 0x5434416a, 0xf5309bc5, 0xc352d476, 0xe678d435,
+    0x55331843, 0xab8f5f1b, 0x8fa24a7d, 0x073a1126, 0xb3fcbc4f, 0xa8f23f32, 0xe3808f11, 0x9f832dc6,
+    0x9bcd2cc8, 0x4d80af5a, 0x429c81e6, 0xb7116288, 0xbc342aa0, 0xb5167144, 0x21751eb0, 0xc3f8ebbe,
+    0x690090a5, 0x7bc30e97, 0x7897dbab, 0x7c5996a7, 0x26464068, 0x571b3549, 0x42d3fd40, 0x9aa55a1f,
+    0xb22a2948, 0x0c8fd503, 0x13fe5a10, 0x8e9675ff, 0xdb17ea48, 0xb8a36506, 0xbbefbcf1, 0xd191d208,
+    0xa818ab66, 0x46d94751, 0xc69c2859, 0xc7d85dbe, 0x25a7072e, 0x4cd1c3ad, 0x2f78eb26, 0x138dd12d,
+    0x2244063c, 0x419a63d0, 0xf88a2d30, 0xe770c2fb, 0x946d91f6, 0x5ac3c437, 0xb5feb09a, 0x595865ec,
+    0x350604b3, 0xb7e1d26e, 0xf613e368, 0xc21e8ee3, 0x0f8d032f, 0xfbf52086, 0xb2f324fe, 0x462c7e45,
+    0xe81f7ce3, 0x5a136907, 0x16b6d919, 0xbef9c086, 0xf05761a8, 0xa9bc7a72, 0xe0d84500, 0xee471042,
+    0x83f75b55, 0xb9d26813, 0x5db1dccd, 0x6de03838, 0x477883ad, 0xb69e861d, 0xb72f135d, 0x47460bf9,
+    0x6a7cce23, 0x64b6b856, 0x468b8bed, 0x1aafc8a6, 0x2cfc6a80, 0xdb95286b, 0xde66b9ec, 0xda500e71,
+    0x00000000,
+    0x1db41548, 0x22ae0c5c, 0x99af0216, 0xd187a62f, 0xe49537f7, 0x84c52b16, 0x693aa01c, 0x25024b32,
+    0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000366959778558411441857731343248\
+                          33391052745039826692497979801421430190766017415756929120296849762010984873984 */
+  { 0x00000000,
+    0x9b27d7f3, 0x9a16ce3e, 0xa9faa703, 0x5668c790, 0xba57186b, 0x2127cfd1, 0x4a1a7f6e, 0x527d995e,
+    0xe474eaea, 0xd5527a26, 0xdd5649d3, 0x82a72150, 0x9565c195, 0x3cb4a99f, 0x77e0fefa, 0x63e0f4e6,
+    0xb9f4c7da, 0x81231c54, 0xe0888149, 0x268081ae, 0x64616555, 0x1c0f13c3, 0xe7be53f0, 0xae207b36,
+    0xe1d0a20e, 0xedbe2d2f, 0xe956f7e0, 0xa9cb0a0c, 0x8bbb76f0, 0x68b9cd55, 0x4f6df418, 0xc2c23b78,
+    0x476f4d7a, 0xce72aa22, 0x65340b47, 0x281d3cd1, 0xe7cd54e0, 0xceacbf14, 0x371af0cd, 0xe10accca,
+    0x7f07d440, 0x0568dd0e, 0x5a9aa3f4, 0xed55e8b0, 0xc8d7e14a, 0xa35a1d4f, 0x9f422cfe, 0x6f148c9f,
+    0x57896585, 0xd1bc6b06, 0x1add23b5, 0x966c5294, 0x1403c066, 0xceaa2d8c, 0x45ca411f, 0x78da7d7c,
+    0xa913c804, 0xcf796acf, 0x632aa444, 0x81082ebc, 0x0ad6286f, 0x63b1c7f5, 0xe13bcfcf, 0xb0bdd9f1,
+    0xf45cb8bb, 0x61bb9c4a, 0x3bf9e1ca, 0x0f51bdce, 0xa5105912, 0x71af9ac7, 0x57176a85, 0x85fe32b7,
+    0x8d3fc71b, 0xccf663c3, 0x1d88f56f, 0xf486aee9, 0xc7fbdf16, 0xdf98027e, 0x7db1543b, 0xe80adf01,
+    0x6a72aecf, 0x3e00d9bb, 0x5a31f694, 0x0ad38725, 0xf65d9fdd, 0xa8b57d86, 0xfb9150f1, 0x93c80da4,
+    0xd2377a57, 0x32eb7c20, 0x070b4deb, 0x466f875f, 0xafe2fad3, 0xc504723b, 0x6e0a8501, 0x1e8d950b,
+    0xc23b31a8, 0xbefef40f, 0x93b55374, 0xd68b6d01, 0x7d813ade, 0x8bd0cae7, 0x1951de7f, 0x1488562a,
+    0x7d7d860d, 0x02e8d1d6, 0xf68d0184, 0xc5deab15, 0xe850808b, 0x05f7f7a5, 0x949cca3e, 0xdeeb7e94,
+    0x24094bb7, 0x206e00c3, 0x19a63017, 0x92012196, 0x3aa5664d, 0x09a913bc, 0x30a03c5a, 0x3c3767ea,
+    0x733471a6, 0x0bb8ac8b, 0xbdf022cd, 0x0a754970, 0x01bf6e03, 0xde269ef2, 0x2c5f89bb, 0x4c91e0d8,
+    0xbdf5edd8, 0xee9559a1, 0x8ddbff1e, 0xa3b4ac42, 0xc6607fca, 0xf077f3d7, 0x3bc40b8a, 0xd972fc67,
+    0x7f3e615c, 0xf71996d1, 0x3e5bf7dc, 0xc98c7967, 0x80a4acd8, 0xb5cbfbe3, 0x3b9a1777, 0x9aa9909b,
+    0x9887eb14, 0xa7fc856c, 0x115df7de, 0x0c13720d, 0xf51de0a4, 0x000a60f2, 0x8713f381, 0x192bc1e6,
+    0x588f219c, 0xd5f02179, 0x8871c6ca, 0x8965ec72, 0x7f126e2b, 0x0be415a6, 0x256e54a3, 0xd2d6a14e,
+    0xa28996b4, 0xdb1ab00b, 0x4ea41793, 0x9613e744, 0x703b8c73, 0x6569c0e6, 0x3d7dc5f4, 0xfcd7e8f2,
+    0x80c8fd85, 0x75946639, 0x837799af, 0xa4ce18ab, 0x85f55a71, 0x9314dff6, 0x57923300, 0x4bcce74b,
+    0xbeadabb4, 0x25c0e404, 0x0b044807, 0xcbad4b83, 0xffb90aba, 0x52c4085d, 0x51904aa2, 0x056925e7,
+    0x742af63a, 0xa4d7ea50, 0x9c0ee9d5, 0x20795005, 0xf7147e87, 0xf059b45a, 0x01487d9b, 0xb12a1912,
+    0x310bbc97, 0x86940cd0, 0x0480a081, 0x114a740a, 0x04e7b582, 0xc284359d, 0xf7ea8195, 0xd5001144,
+    0xd9f2d1b7, 0xce7c7304, 0x936c96f2, 0x2715079a, 0xd1321439, 0x24ebaaf8, 0xa1a86824, 0xe10625e6,
+    0x22bd7134, 0xa8817654, 0xa8fbb8df, 0x2219035e, 0xd34144bf, 0xcec1174d, 0x1535b1ac, 0x57f16820,
+    0x8810629c, 0x00c474c3, 0x638bf67c, 0x2c97e49b, 0xe56fc2cf, 0x170565f0, 0x227ce58b, 0x3da477b5,
+    0xa91c108e, 0x548c4cf4, 0xdf7c6bc6, 0xdf1003d5, 0x7caf9dbc, 0x04ed6591, 0x4bdcdbc9, 0xb8e1b162,
+    0xa95708e3, 0x000b22aa, 0x7658c71a, 0x3109b721, 0x51845fd5, 0xb4b922e9, 0x6f171daa, 0x1631f221,
+    0xa0fcfa82, 0x606b2e8d, 0x03dc1a98, 0x82f5e63f, 0xaf418cf3, 0xad0ec879, 0x0384cfff, 0x933d8787,
+    0x94bcb879, 0x105adf04, 0xaf31c0de, 0x84fea85a, 0x448e20fb, 0x82ae6231, 0xc3f0c4bb, 0x15636fda,
+    0xa83921a5, 0x52f3eaf3, 0x85d714b7, 0x7f8a212d, 0x36b3dbb9, 0xd1b4cd41, 0x386b21c8, 0x47f4b91d,
+    0x24d9f8c7, 0x2e618f12, 0x1cdb8285, 0xf22f4168, 0xd18c021e, 0x39db1b38, 0x4e1641e9, 0xd62322e9,
+    0x8cb835ed, 0x25865def, 0xf712211a, 0xf6b54507, 0x67cb95af, 0xf39f0824, 0x0c3934fb, 0x722d360a,
+    0x507a8e98, 0x6770eaee, 0x8a66231d, 0x0d4369e0, 0xbceed8e3, 0x64798235, 0x7896d641, 0x89a5845f,
+    0x7556c330, 0xd12677b7, 0xe9bae924, 0x4a81dcda, 0xc01d962e, 0xec39682e, 0x6e146c2c, 0xf88b6e03,
+    0xf7d1faa1, 0x5f81192f, 0x965e8179, 0x6ecd2ce3, 0xcc5bcf2f, 0xeba2f4c4, 0x7efe3919, 0x82fba59c,
+    0x8d45a185, 0x36da3d5b, 0xbe57c153, 0x68bcccbb, 0x690d101b, 0xe5487993, 0x0b51b652, 0xcd86c268,
+    0xe1cd4924, 0x41c3bbf7, 0xb6e01a17, 0xe82da3d3, 0xb1c86be9, 0x1449364b, 0x4fc2c9d1, 0xe24b7a8c,
+    0x55bc856a, 0x75e4b4f2, 0xef5785b3, 0xf7e84e07, 0x8f85fd31, 0xf25db3b2, 0x37e09ba2, 0xe4041a6a,
+    0x4b937536, 0x9b1dc36c, 0x7b40ad47, 0x84c7f66c, 0x80375aca, 0x2cf65adf, 0xafc9d513, 0xa349408c,
+    0xe68642fb, 0x89274016, 0xe6f66d12, 0xd7a12ea6, 0xca165e1e, 0x2dc9f717, 0xd7776a9d, 0xd8d59b6d,
+    0x4488aeba, 0x260890db, 0xdfeabfb5, 0x23432b64, 0xcb3b0097, 0x1d2c845e, 0xdee50329, 0x4ac6bb5b,
+    0xcc3a9124, 0x7f51527d, 0x383c3e4d, 0xa5d88d98, 0x06070cd5, 0xf7394d7b, 0xec31cce2, 0x81c48cb5,
+    0x2c7d36da, 0x290074c8, 0x53dc412c, 0x0a831f83, 0x6756cba8, 0x99c08d6c, 0x5d4d1772, 0x390ac686,
+    0x3025d035, 0x04ef84d4, 0x431d6eea, 0xa1ea8d06, 0x94d77df8, 0x322d08e8, 0x154fa856, 0x2e758a54,
+    0x6ec436ff, 0x04bf110a, 0x481cccbf, 0xe14528af, 0xf52f9126, 0x4f7a967b, 0x3bcf6c3b, 0x36bb3309,
+    0xf974641e, 0x8b53ed64, 0x2d6c8aaa, 0xa01adc74, 0x6eee6e31, 0x9f219c82, 0xe9a61e13, 0xf0c011a8,
+    0xa3953e56, 0x8a656dfe, 0x507052d3, 0xe7fdd0ad, 0x12efcefc, 0xd30723d2, 0x5c5f7ef0, 0xfc02c0f0,
+    0x36443cbb, 0x35ad3bb8, 0x28b96e0b, 0x4c3051b4, 0x105f4c27, 0x8e008f45, 0x6fb0b125, 0x2956c698,
+    0x84b77501, 0x0a33e4d5, 0x6818b958, 0xfa2c3bc9, 0x72908d44, 0x944992d5, 0x7956e306, 0x4410a940,
+    0xfca5503c, 0x256c4803, 0xfaecfdbc, 0x56b46e5f, 0x173ce804, 0x448d737d, 0x10f9c70b, 0x12988658,
+    0xcdaabef6, 0x01f55171, 0xd98f86aa, 0xf7b88c0f, 0x8563f6ae, 0xa6cb5230, 0xb7be61ae, 0xdd1b3c70,
+    0xa414cde8, 0xf4db8a80, 0x10d21285, 0xe0237f91, 0x49ec4ad3, 0xd574036f, 0xcbbbf2a9, 0x0404b47a,
+    0x2f4654bb, 0xe89e6479, 0x3aef4ba7, 0x8dcfa2cb, 0x949306d2, 0x1f1aed01, 0x30684c8e, 0xb35f3bd8,
+    0x2ad4e77e, 0x143481c7, 0x99b11ae1, 0x70f471fc, 0x2e14d69b, 0x27bc1236, 0x85342865, 0xabcd5039,
+    0x473d054b, 0x33ef10dd, 0x0d22c4cb, 0xd7d29786, 0x7a6c2c56, 0x1cf1c71a, 0xaf5af24c, 0xddb7353c,
+    0x3fd5c904, 0xf7e2a407, 0xcc0aabba, 0xefb32abc, 0x13898309, 0xc734db71, 0xed9a29a9, 0x5ba274db,
+    0xe10663c8, 0x989fb3c3, 0x908adad4, 0x809708d9, 0xa24032e4, 0xba68b8f7, 0x127e4b09, 0xd12ffc0f,
+    0x28e11ddd, 0x4ffbb534, 0xc448ba4d, 0x06d14b00, 0x521495ec, 0x12bb633b, 0xb3dfc41c, 0x4d35f656,
+    0x528bbbc0, 0x2fc4f717, 0x2010dc9b, 0xbf6e35aa, 0x7ee75f69, 0x1857f2b9, 0x8b2b547f, 0x9d972407,
+    0xd3a48855, 0x2a3ee928, 0x89b1067a, 0x5f0025dc, 0xbac5d65e, 0xf01a7675, 0x0389eecb, 0x7230cd04,
+    0x020b2d0a, 0x4a68f514, 0x582e87a7, 0x38b90d8a, 0xab4a1782, 0xb6e2636d, 0x6f2d2075, 0xa2682ff7,
+    0x59af2bac, 0xfc64dd0a, 0x793a810a, 0xed9aa7a9, 0xe42e1647, 0x764992e2, 0x108bb55f, 0x467ce4ab,
+    0xc827f845, 0xe4abb4bb, 0x5f133093, 0x873a6136, 0xd7549d0a, 0xb0c833cf, 0x8eec3b5b, 0x831a37fd,
+    0xcbf9ebc2, 0xae0eb209, 0x4be0b8ff, 0x73a42e13, 0x0bba2461, 0x61053c41, 0xcf9ca20b, 0x9f489965,
+    0x10d3c696, 0x49ffc9db, 0xd512a9db, 0x318b7cc4, 0x415bcd1b, 0x64b2b61a, 0x167b2ee7, 0x067c4209,
+    0xb90c5af7, 0x5f8eec14, 0xccf330f4, 0xc7464993, 0xe51e92cc, 0x9c28a2f1, 0x661c1b18, 0x5a1f50ee,
+    0xbb46b319, 0xf26a019a, 0x5e7ab93e, 0x49a8e0a5, 0x6fb34517, 0x72fe3f2f, 0xb0411be4, 0xebbd13de,
+    0xa4a6c1f6, 0x8c0ae77c, 0x15765403, 0x08675bd0, 0x1179f903, 0x459d41d5, 0x8ed5f380, 0xaa6e5904,
+    0xcee35b5c, 0x29904a27, 0x27e36beb, 0xfd52ef81, 0x88e85a5f, 0x9360aa4e, 0x31ed8eea, 0x9a0fc64b,
+    0xc5537b2c, 0xd8cf9ddd, 0x0f86ff42, 0x4a2d99eb, 0x91f33171, 0x04ff9f74, 0x31ff4255, 0xf5d76450,
+    0xdf6903d1, 0xab237f8b, 0xb439ff9d, 0x076c8879, 0x52249fde, 0xe83f557b, 0x7873c266, 0x0d129544,
+    0x6491ac0c, 0x0440c032, 0xb2a9c4b3, 0x37df7390, 0xda2ab291, 0x80daabbf, 0x3b4935b5, 0xa98bdab8,
+    0x8141e396, 0x9c9f1e46, 0xbd077341, 0x8578dac5, 0x2c9cce46, 0x89cf7f3c, 0xa28cf723, 0x61bf671f,
+    0xb11c9d20, 0xe0136d7c, 0x7cb67bfe, 0x9e47b013, 0x42fbe942, 0xcb5ddd08, 0x3b9b0067, 0xd5ee259c,
+    0x0ab8a6ff, 0xdcea8e12, 0x461985aa, 0x32b9a7d3, 0x078bcace, 0x92c24b4b, 0xa247db66, 0xb327c2dc,
+    0x78109c37, 0x903853d1, 0x3ab45964, 0x92c856b2, 0xde71b62f, 0x0642c9a5, 0xcd8d8ea6, 0x454d538f,
+    0x482a794c, 0xdb84ff8b, 0xa38bce9a, 0x049d2e52, 0xf6ec1db7, 0x59a9df89, 0x197256ed, 0x7bfc81ce,
+    0xce550f85, 0x0562bb97, 0x62ac794c, 0x6a27e163, 0xd820a138, 0x7ae50edc, 0x7a231b6b, 0xd2dde0c6,
+    0x56b48f9f, 0xe36ce63f, 0x4aa1e88d, 0x4ef5c895, 0x76ec62a4, 0x5e91c263, 0xd5f80545, 0xa54fedd9,
+    0xd0189756, 0x6b0d8475, 0x968e4114, 0x47ce4815, 0x5466ca8a, 0xb234313e, 0xf2b9cd71, 0xb7ec4bd7,
+    0x94c571d8, 0x56cb20be, 0xf8ac5efe, 0x59b234a9, 0xbc25796b, 0x7845db88, 0xea946f8a, 0x7e378b29,
+    0x700cac13, 0x5be3a035, 0x3e9344b1, 0x584a4881, 0xf4c001c1, 0x2cf843f1, 0xe66a61ee, 0xef588ec9,
+    0x0696153f, 0xed97e16f, 0x5aec9a22, 0x2c5ac8bd, 0x94369c84, 0xc5a03c6a, 0x37af6414, 0x8f875657,
+    0xf72787c0, 0x4f00529a, 0x170e17a2, 0x0a1088d3, 0x795a3d0b, 0x7aeb983c, 0xb49060ba, 0x8bf7d4c3,
+    0x4b1a3c4a, 0x1be7f115, 0x9ca77d9d, 0xdc448197, 0x50dd2e6c, 0xce57f94d, 0xc7a259f2, 0x5874e1c8,
+    0x6c8bb908, 0xd6ae6afc, 0x757fce08, 0x92008ba8, 0xe543f269, 0xfe03ef18, 0xb8ad8118, 0xd17f822e,
+    0xb387829f, 0x2df2ae7b, 0x308d98c7, 0x0a91be42, 0xd67495fe, 0x3c57a1cc, 0x1db2aee1, 0xb3ea0c60,
+    0x2855b0f3, 0xb6caf98c, 0x1e44cb12, 0x0779fe89, 0xb78aad5b, 0xeb377beb, 0x020c4830, 0x91dc80d2,
+    0x1784b175, 0x44dde255, 0x9a1bdcac, 0xb83fc474, 0x57a649e9, 0x080131da, 0x5693fd5e, 0xd38d91cb,
+    0x82995606, 0xef04509c, 0x8bc4e70a, 0xacc17ebc, 0x1135e1cb, 0x8101c100, 0x5332fee5, 0xf2812124,
+    0x2ddcf60b, 0x92e4b0f4, 0xfdfef6f2, 0xe09ebdcb, 0xe1b8d22a, 0x29dda32f, 0xe58119fc, 0x153e79b3,
+    0x403217ec, 0x8095f91b, 0x7e0c0fc1, 0xbaee9052, 0x796cc8b5, 0x97dc6099, 0xb6f9a542, 0x3e53f1e9,
+    0x9055051e, 0x43b25f10, 0x04b9d041, 0x9ee08d54, 0xa8aea414, 0x5fbf176a, 0x957e68c7, 0xadccb63f,
+    0xecd90932, 0x42eab6fa, 0x1ebae2ce, 0x2edc2d38, 0x0da953b2, 0xbd70f1f5, 0x3c03bd31, 0xd0fa033a,
+    0x9264ff7d, 0xfca464fd, 0x5304917b, 0x919ce1fe, 0x9bc420f5, 0x56dcc7a5, 0xa565d60f, 0xa0ffcfc7,
+    0x5031f0a1, 0x2a44856f, 0xb2966121, 0x4a6ab9de, 0x88fd1bc3, 0x8d014b96, 0x74a8311b, 0xb79144b9,
+    0x2dbb644d, 0x12838a44, 0x3d6d286b, 0x4e3a58b1, 0x4269bd7a, 0x1b34111e, 0x76659bf4, 0x44db909d,
+    0x6ff963ea, 0xfa0641a8, 0xb56804bc, 0x2f6b0d31, 0x7e4c3358, 0xc6391aeb, 0x449babcf, 0xe3a7b550,
+    0xe5e73aad, 0x54dc8f74, 0x378d00ee, 0x53c77e92, 0xd1145fd5, 0x9bc10a2e, 0x1ba7a591, 0xcc6a1bba,
+    0x3f2d3cf7, 0xfb195f54, 0xaae470f1, 0x517b7e23, 0xf733dcf0, 0x78a2d316, 0x399d5549, 0x86993bc7,
+    0x84af5322, 0x8f1c91b0, 0x897ea7d3, 0x4e8cf7b4, 0xb32dc390, 0xf8096664, 0x7d6ac7d2, 0x2796079f,
+    0xc2fd460c, 0x151adf0d, 0x022aedb6, 0x8888643a, 0xce81c8d1, 0x19ffd670, 0x4085d722, 0x99664afd,
+    0x0c591c77, 0x0e37cccf, 0xc608d61c, 0x41b3517a, 0xffa88ccc, 0x84c2a216, 0xf0fe1168, 0x60bd1fac,
+    0x43450834, 0x52b15acb, 0x5ee4f0a4, 0x98b468ab, 0xd244660a, 0x2c066bb0, 0x534cb061, 0xff91fb5f,
+    0xe4cfff8f, 0x038d9ff5, 0x194a641a, 0x11d39bec, 0x5993dc32, 0xcb7e40cc, 0x74774afd, 0x0517219e,
+    0x74cfb9f4, 0x21b65381, 0x1d91115c, 0x9302cded, 0xd3126c06, 0x7ab63a6a, 0x231867f5, 0xa039e05d,
+    0x98212210, 0x316c33d5, 0x6d3f75f2, 0xe37b7697, 0xd8567d26, 0x7445aef3, 0x7bd8bf64, 0xb8e93c9e,
+    0xde189bb8, 0xbe333f5e, 0x3c91d7aa, 0x8ebf500d, 0xd250ba7a, 0x312b7cf7, 0x47f383d4, 0xabb86c6f,
+    0x8ac31bd8, 0xdce506e6, 0xd9968cd4, 0xa37febe9, 0x34e2f56c, 0xcf4ee764, 0xfc9eba87, 0x499ea9eb,
+    0xd1cf7247, 0x1c0c8820, 0x07854c7d, 0xaa744872, 0x5c444854, 0x95d5b951, 0xef33c965, 0x71e3da50,
+    0x9488b4de, 0x198cd203, 0x64735f9b, 0xc309ba8a, 0x2f57c79a, 0xf59d65dd, 0x18f10b5b, 0x279e7fb5,
+    0xd7642d12, 0x769968ec, 0xf12c8dde, 0x465e1b60, 0x4618bf13, 0x2c950386, 0x10c7d32c, 0xd83eb08b,
+    0x3b239ee8, 0x2332ae0d, 0x10aa25f5, 0x41aa0e92, 0x2c820652, 0xed3d6a18, 0x170f3473, 0x680b4d21,
+    0x5c52a027, 0x0646dff6, 0xe9044791, 0xbf251e0a, 0xc4e967f2, 0x4e00140b, 0x058f79bd, 0x86f17116,
+    0xf272f36f, 0xe7cd77d4, 0x11b9f3d8, 0xb8ceeef0, 0xc6a88710, 0xd7c6754f, 0xefad8381, 0xe3e845d2,
+    0x646e1bd9, 0xd4bfa4b6, 0x2e7a8d11, 0x7c95b4e8, 0xdbecd81a, 0xce3fa91f, 0xe8e3db42, 0x00be2320,
+    0x2632a9aa, 0x7960fd06, 0x3a76a325, 0x7c0a1eff, 0x3082592d, 0xb7a997e7, 0x1619fa3d, 0xd9376ba4,
+    0xac351032, 0x0687fae2, 0x69825036, 0x6c30255e, 0x665264ba, 0x5e4cdcfd, 0x54ae5a32, 0xe5b72d6a,
+    0xef670eb9, 0x5996fa88, 0x1c79a84b, 0x1b2f4dfe, 0xa957d2fa, 0x94c3dde9, 0xe1612444, 0xa1a907af,
+    0xa09b09e1, 0x3830378d, 0x6104121e, 0x03b00a9a, 0x486112d1, 0xe7c6ae4c, 0xff704419, 0x851be653,
+    0xf2d9f3c8, 0x26c3959c, 0xfe744965, 0x6e60be8a, 0xa685b6ff, 0x4e00eb79, 0x99ede2f9, 0xd889a8d9,
+    0xb6678616, 0x6bf841d5, 0x58025c20, 0xb8ee3429, 0xc158ed22, 0x0b4c3218, 0xc40e0202, 0x08210abb,
+    0x4720d36f, 0xfe237f4f, 0xe0c35434, 0xcd6e9c96, 0x655ac975, 0x4f231448, 0xeaa939a1, 0xec681398,
+    0x00000000,
+    0x0eda0aa3, 0x1157062e, 0xccd7810b, 0xe8c3d317, 0x724a9bfb, 0x4262958b, 0x349d500e, 0x92812599,
+    0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000183479889279205720928865671624\
+                          16695526372519913346248989900710715095383008707878464560148424881005492436992 */
+  { 0x00000000,
+    0x9220ba60, 0x8ea20f87, 0xe17d4382, 0x947f8dce, 0x3299d777, 0x4bc625dc, 0xba7136fb, 0x7e803bcd,
+    0x7de3aa59, 0xf763f8f1, 0x47a8ed45, 0x9aad8f39, 0xfde01ab4, 0x8bc18886, 0x197b9af0, 0xd2821c99,
+    0x99ddcfc3, 0xc8e6d9c8, 0x7c8a8ae3, 0x25ef5185, 0x1441706e, 0xa61924f9, 0x9d7ce7e5, 0xe0b82181,
+    0x31cfc56e, 0xca8c3c18, 0xd38f8eb5, 0xdeb1b67e, 0xe4cc0b7c, 0xa15437b6, 0x29715f0d, 0x34873509,
+    0x49909030, 0xf0a28146, 0xfc4b3bd3, 0xdd3ea257, 0xb101c862, 0x48f87f24, 0x719ab592, 0x6b6c7314,
+    0x4ad556dc, 0xb6d519a0, 0x5b1e9fe1, 0xfa725147, 0xd7a6e55f, 0x031ccf27, 0x52210dc4, 0xc8857640,
+    0xbfa2c0dd, 0x16f98f4b, 0xa8c4ec04, 0x4b690ada, 0x9a59f685, 0x0cd5462d, 0x8aedb63f, 0x855fc886,
+    0xa19cef76, 0xdaedcac3, 0x9b34c4a1, 0xd841927f, 0xef20498e, 0x7a34f289, 0x43faee02, 0xa18aaac2,
+    0x1da2e043, 0x98c6b629, 0xb632a8f0, 0x48461797, 0x206927bc, 0x96aeb41a, 0x6e8caecb, 0x9f407a78,
+    0x912f7a86, 0x82328689, 0x9c0b4dbe, 0x260ef127, 0x270e4488, 0x7d6b6f3d, 0xf08f7fd3, 0x7ae69fa6,
+    0x34725023, 0x951d0332, 0xfe7a34a2, 0x142a789d, 0xc5cbb7ba, 0xfd594005, 0x2275c42f, 0x5bf83a44,
+    0xc8a2caa8, 0x4d864963, 0x07c93d57, 0x4d8617f1, 0x2042752e, 0x4f21d2bc, 0x6b62124c, 0x32d9ffab,
+    0x0e424b13, 0xf6209cf7, 0xe88b8d8d, 0x3c329cf2, 0xb2044139, 0x4bb6e0e9, 0x0520e0fd, 0x0d54a486,
+    0xc6e546d9, 0x621e6ae9, 0x1010c593, 0xee9ea324, 0x82e0f347, 0x9c90420d, 0x38507c15, 0xa01ce946,
+    0x4ecae8be, 0x08bc8c64, 0xc74444ee, 0x34e7323f, 0x10cc35a5, 0xe9530187, 0x0142e66b, 0x7405015a,
+    0x70156c2b, 0x1ad0e5bd, 0x66877479, 0x29403226, 0x61a4bad0, 0xe86fa63f, 0xc01fc41f, 0xa167227a,
+    0xf6aab2d6, 0xb60ca1bf, 0xd6aabadf, 0x22fe0d42, 0xdd64032d, 0x18a32838, 0x80948cdc, 0x8c96c335,
+    0x975e45fc, 0xa92bade1, 0xbb1fe5fa, 0x053896b9, 0xde7dee17, 0x79382440, 0x189944ce, 0xff5e2576,
+    0x5fabd052, 0x591b8d2f, 0x92136d48, 0x7d7b317c, 0x63f11487, 0x6967219a, 0x39a93df6, 0x6c2499d2,
+    0x24d5b128, 0xcdd97305, 0xede1875d, 0x0a685416, 0xe18ba5ea, 0xd8103aff, 0x2c4f17f9, 0x439007ab,
+    0xe82dfe14, 0x384fd992, 0x2c7cf5ed, 0x11cbc934, 0xaa22d1b0, 0x75687984, 0x340efea9, 0x0c3aa301,
+    0x0d3a7c46, 0x3fbfbca9, 0x8c7e3f80, 0x177c3281, 0x2263da56, 0x0462b11e, 0xdf573c37, 0x8843bdba,
+    0x13542cee, 0x1dd3c894, 0x056a4518, 0x8885cff9, 0x6285cf1b, 0x350594ee, 0x84c50491, 0x44be560f,
+    0xa44ad2c9, 0x98f6eb2a, 0x5361a8f4, 0x4417d90f, 0xc1f1a18a, 0xf8c613fc, 0x8aa4e777, 0x7e09442e,
+    0xb409773c, 0x932449b7, 0x1557a46d, 0xb53ba5e7, 0x5e6465b8, 0x10f0412a, 0x352c1e36, 0x82d6cd68,
+    0x1e116130, 0x5ed335df, 0xc391749e, 0x9d670fa0, 0xf3429df0, 0xef22ce5a, 0xd3a20d82, 0xc183e1d4,
+    0xcba20b85, 0xc263fc16, 0x3e78616b, 0xd7df2d1d, 0x9546b41c, 0xf5623e1a, 0x25ee9773, 0xdf553d86,
+    0x89d74d59, 0x4fcc03d7, 0xf37e816f, 0xc87186f5, 0x0e636694, 0xfce44597, 0x9b28ed56, 0x52473489,
+    0xe49a0e29, 0x104ac51d, 0xe1f42b1f, 0x5c660061, 0x1712674d, 0x3a811d99, 0x8773b511, 0x9ca73745,
+    0x8dcf9007, 0x9305958d, 0x5aa59b35, 0x60981820, 0xbdf161f4, 0xaf09830a, 0x422c1d8f, 0x7b8cfb67,
+    0x381b684c, 0xe0a28791, 0xe5fbda2f, 0x9b80195b, 0x38898b28, 0x5ea290bc, 0x5f9be4ed, 0xa437ebf1,
+    0x38c898ee, 0xb583489d, 0xadd7813f, 0xade488ac, 0xee86aa7c, 0x30a5ce45, 0x0561d25f, 0xc4ec2b69,
+    0xd81056c6, 0x1fe4b8cc, 0x7cdc66c8, 0xa436919b, 0x442275ff, 0x017edc6d, 0x1f0233e0, 0xf31feaf0,
+    0xe0f9ff22, 0xf545f71b, 0x23a8ddb8, 0x2ae6d6ce, 0xdd0ea041, 0x57b3f4d7, 0x66ecc718, 0xdea3f7a3,
+    0x23f6e82d, 0xc38257cf, 0x9a32d90a, 0x0e969d02, 0x3f5d7669, 0xf36f3ab5, 0x5173b555, 0x959d3c2e,
+    0xce103620, 0x10bd39ab, 0x30990953, 0x3a875804, 0xd0056ed0, 0x86066cc8, 0xf5f3ef94, 0x904cce0a,
+    0x4ed4b8b0, 0x5bf8c3c9, 0x5ab61f21, 0xdf4daf2d, 0x70adc2fa, 0xf51b861d, 0x74e0fb44, 0xd9ccdd44,
+    0x9f6b4ec2, 0xfa945900, 0x229300c6, 0x542ab91a, 0xa675b07b, 0x0eea7d9c, 0x5b2bf4f8, 0x722e3131,
+    0xa6b299a0, 0x061f4027, 0xa87866aa, 0xca7fc404, 0x9e62a67e, 0xbfee5092, 0x207dafc9, 0x9a6707f7,
+    0xf61fb6eb, 0x31878089, 0x92f8dac0, 0x03614aa4, 0x27e850e0, 0x258933f2, 0xfa0520a4, 0x8eee8fb3,
+    0xe4ab2534, 0xe7505491, 0x29bb7121, 0x52db524d, 0xfb1f723c, 0xc044e359, 0x65f3a702, 0x9143bfd2,
+    0x13629fb5, 0xdbf8facd, 0x1aee382b, 0x762b9121, 0xa77017f9, 0xaa32e3f2, 0x5c057099, 0x0333f514,
+    0x50236747, 0x94d6ce60, 0x2dc5b0c7, 0x5128d4e8, 0xeee02a4c, 0x3500bea2, 0x37824cd5, 0xeb65319e,
+    0x2f97baac, 0xead8db89, 0x3e7c7448, 0x160402a8, 0x35595397, 0x549eff9d, 0xbdb0b112, 0xd68ef946,
+    0x8fc720ec, 0xb98cbcdf, 0xdf382f8d, 0x2b6591de, 0xb3117e3a, 0xef4c36c2, 0x2f5ca396, 0xe6e3d92e,
+    0x173fd5ae, 0x4e2e4fdb, 0xa57f9b7f, 0xa070b25a, 0x6d71dcd4, 0xce00f058, 0x42630234, 0xcb58acfc,
+    0x87c67247, 0x3b67fc73, 0x25d8e0c1, 0x2b5e2f90, 0x1470601c, 0xdd9dac73, 0x42b91c82, 0xe462bf2e,
+    0x99148201, 0xddf9afb7, 0x64c3c547, 0x84cac281, 0x12e16132, 0x4a6e8961, 0x8ac75dec, 0x55851c72,
+    0x668166f2, 0xfe69a312, 0x52eb9c19, 0x60c7a7e9, 0x5a0b4877, 0x7e9ab6c4, 0xd7233951, 0x844ffc1c,
+    0x0fa4cfcc, 0x6c7cedf5, 0xe334780a, 0x42724ecd, 0xbffb987d, 0x4b1620d7, 0x08110d99, 0x5300a000,
+    0x986017a0, 0xe36c6932, 0x961c634b, 0x9e9005ac, 0x41c95c05, 0x6bb91725, 0x7fc8c96e, 0xc4575d08,
+    0xb9e745f5, 0x545690c0, 0x00a4902d, 0xbeeeb72d, 0x4f0fec0b, 0x44a9731f, 0xbb1e52a5, 0xf07c32b4,
+    0x09c02f87, 0xd522464c, 0xa5eac257, 0x0d1f50b1, 0x289720a1, 0x560b4e2f, 0x9d714486, 0xcc92b0e1,
+    0xd22c8a25, 0xe492c3fe, 0x196a2ddb, 0x71577eb9, 0x92771ecd, 0xe26ed1a3, 0x915bdd35, 0xe43a5b83,
+    0x89cef061, 0x9ea6e3d8, 0x620cabe6, 0x34c79adb, 0x5efa10a0, 0x8a9684bd, 0x1ebdd40e, 0x1c9fd627,
+    0x5e7acccc, 0x10a9420c, 0x53bad1b4, 0xf027dad7, 0xecd175f0, 0x88a66663, 0xa41d2821, 0xd831761f,
+    0xd5866ca8, 0x0d6a7c04, 0x5b5b8e52, 0x2a0b4d2c, 0x0884b4a9, 0x9fb2b879, 0xce84db87, 0x0e09b74e,
+    0x8dd0a482, 0x5b238fae, 0xa1e1cffc, 0x4457daa2, 0xf7ac5468, 0x1ec35d35, 0x0c8664ce, 0x1c2250d5,
+    0x014e9026, 0xcd98a7d7, 0xc807fa57, 0x0d6e24ac, 0xbb82b93b, 0x6e8d067b, 0xc468ed4f, 0x381f249e,
+    0x41eaa06b, 0x2a3b8137, 0x66076410, 0xa74a1494, 0x7c597459, 0x58b1ba00, 0xf7620f4b, 0xfc63052b,
+    0x780ec1ea, 0x21534898, 0x9883cc27, 0xe706e3f6, 0x4852346d, 0xbd14bd6b, 0x1ba4597e, 0x69937cf5,
+    0x84c4eaf6, 0x554246af, 0x98f36716, 0x163ec908, 0x75f71f4c, 0xfd75216e, 0x3fa8d4b5, 0xb726d860,
+    0x2bf51089, 0xd4446f03, 0xc5e83a44, 0x6a536115, 0xdc2fd957, 0x9a99257b, 0x651ba4b0, 0x8abc3dd8,
+    0xcb74d092, 0xca026765, 0x181fc658, 0xd11fe738, 0xf06bdf7c, 0xe76c6c09, 0xb79a7b18, 0xd6bd46cb,
+    0x1d8a239e, 0x80b0555e, 0x330eda1c, 0x9be84850, 0xb110607c, 0x84fca23a, 0xfab25671, 0x7b883f75,
+    0x704a040f, 0x143ce6a6, 0xf925dfdc, 0x9b34c608, 0x26dcc1fe, 0x61fe8cf5, 0xebc21f2b, 0x7d75c8fa,
+    0x3a64197b, 0x13ae5d11, 0x0c39698b, 0x6949fa97, 0x69a3202e, 0x6bf3cf54, 0xdabc8d6c, 0x15b51506,
+    0x751549d1, 0x5a999d27, 0x282ac5d1, 0x8eabca97, 0x556c13f8, 0xa0cb63dd, 0x1840b911, 0x60413ed7,
+    0xc6380fa7, 0x73089334, 0xd1b36d47, 0x212137df, 0xb8adaeb0, 0x6392725d, 0x5efa67d7, 0x435d92a7,
+    0x3a685f6d, 0xe004f17b, 0x04013e90, 0xed754c8e, 0xadd6098c, 0xa15aa532, 0x49d62cb9, 0xa0091d44,
+    0xa4710ec9, 0x9eca7f89, 0x20ae72a9, 0x4644104a, 0xed03df20, 0xd3eaf8fb, 0x6fd2b5df, 0x80a8ac32,
+    0xe7fd4ffa, 0x5638e947, 0x4dd17c02, 0x357a2af1, 0xb4766ae2, 0x52a3811e, 0x0c2bc00a, 0xc5f3e40b,
+    0xefe0f585, 0xd2f3b8ee, 0x30280896, 0x9de0b695, 0x2cbafa00, 0x49f66ac1, 0x878aab32, 0x7354388d,
+    0x41d2c8e8, 0xe6420a47, 0x71c7b2af, 0x75a58fa1, 0x8b9ec939, 0x037a5bfd, 0x6c6d50b8, 0xa777dc6d,
+    0xc924cc39, 0xac24ea53, 0x066fd4da, 0xc5074a0d, 0x87da8365, 0x7179c4e0, 0xe4cfa907, 0x89455495,
+    0x4ca95b6c, 0x79e3cac6, 0xe9712b1e, 0x93ea107b, 0x57b6be6c, 0x93a51f67, 0x8882f2a9, 0x9cbb7630,
+    0x1d5a508c, 0xe4c8210e, 0x262d7802, 0x106a1e23, 0x4b906784, 0xa0fc7837, 0x8cd213bd, 0x0eb06c7e,
+    0xcf6fc99b, 0x0be2db04, 0x38479827, 0xf62588a0, 0x317c52b7, 0xeaa5961b, 0x075edeef, 0xc2b93f1b,
+    0x0a78f196, 0xaf33db9a, 0x59ca3b2a, 0x2645221c, 0xbfabd310, 0x48a902e1, 0x20c37324, 0x1e8c8eff,
+    0xf6f47a45, 0x6888632a, 0x56045e48, 0x0a96b269, 0x77f0a8e4, 0xab2f0f43, 0xebd4b08e, 0x5885356a,
+    0x1baba62d, 0x7bcc6e49, 0x6bc78694, 0x322ab217, 0xcaf89eea, 0x3c8837a2, 0xd908d72f, 0x6ab0c619,
+    0x96b227e2, 0x426535da, 0x368a0a03, 0x43f51449, 0x06291697, 0x5de64a83, 0x2a45d4ae, 0xab161a51,
+    0xa49cfdd1, 0x588f6b2a, 0x17914e00, 0xa6745a96, 0xa1727975, 0xf10117ce, 0xe732e055, 0x8fb73a2f,
+    0xb328e785, 0x5091aad4, 0x39567c30, 0x2bd00964, 0xe005e160, 0x966c8c93, 0xf92c71c1, 0xba232b88,
+    0x4915e8f2, 0x9d6ec5d1, 0x1f911786, 0x30a6be10, 0x5e460a00, 0x6e6e6c24, 0x39692887, 0x573c8ae5,
+    0x2ccc0c8d, 0xe314d421, 0x126c6598, 0x445f2c59, 0x8afb1d99, 0x7114f28a, 0x4f60ff1c, 0xf800a671,
+    0x5c02492a, 0xe9ab4fbc, 0x2de454b2, 0x9222edbf, 0xb8931583, 0x522df3b4, 0x4c38e0c1, 0x9f979abe,
+    0x6a7f9b72, 0x8415daf4, 0x7436ad48, 0xa14dd0f2, 0xd30cd062, 0x55139909, 0x0c6c956e, 0x8a9e4a10,
+    0x32728bb5, 0x25a51038, 0xb6b2156d, 0xc8a2532c, 0xe263aee5, 0x3fd676f2, 0xa65fd24c, 0x4b4cb411,
+    0x4603cce7, 0x033e9769, 0x169da428, 0x385ff748, 0xbc750b4d, 0xb75664e2, 0x02e23c4b, 0xc37ca461,
+    0xbd72f8d3, 0xca0f70b0, 0x5b0339f6, 0x2876a321, 0xe1b22f5a, 0x477f461b, 0xd746831f, 0x4522efdf,
+    0xb73a6b85, 0x7204d272, 0x526c4441, 0x7a763f6b, 0x4aa6acdd, 0x7bbfe3ca, 0x9f834b23, 0x2b873d9a,
+    0x93ad09bb, 0x25edd805, 0x10285567, 0x3d571ea6, 0x88ac44ed, 0x437893d0, 0xaf389e5e, 0x0f498f67,
+    0xe90ca9ec, 0x2b55ca59, 0x591b6e88, 0x7357c5b3, 0x408d6818, 0xcf68655a, 0x8e4e7cef, 0x928d52a5,
+    0x8c98d9db, 0x6d2b3a0b, 0x7b3643b2, 0xccc460b7, 0xb308e8b5, 0x22d025a0, 0xd9f438ad, 0x48ff46cd,
+    0xd05fa160, 0x743e3405, 0xc0b0eae1, 0x12d82e5a, 0xee6d3e40, 0x727af6eb, 0x1bd681ee, 0x4c8e1182,
+    0x7002722a, 0x8231af70, 0x6b998553, 0xe141c6f4, 0x95022bd6, 0xfd89d0a0, 0x5756f075, 0xce56c37c,
+    0x51a89db7, 0xd55b503f, 0x8fb7ca17, 0x8f7e580d, 0x6d9a0494, 0x93175b91, 0xf1de977f, 0x6b69f5bd,
+    0x3bdd989a, 0x077eb9e3, 0xedd065f8, 0x38dd7fd9, 0x84d4c12f, 0xa386765a, 0xdc65b188, 0x5387f90d,
+    0x48fddfc7, 0xc82eed86, 0x99b49f1e, 0xe93c6b3f, 0xc69ae48a, 0xa19c815d, 0xb5c754fc, 0x6e1ce00a,
+    0x00321154, 0xaf045e76, 0xb925e631, 0x12b488ad, 0x4b07f386, 0xf5a6c2b9, 0x2cd8a175, 0x65e5df18,
+    0x7c00f0fe, 0x519a176f, 0x9d9c4481, 0x7693296e, 0x6e889587, 0xe88b1fd5, 0x773524f5, 0x645d7c49,
+    0x2521585a, 0x2feb249e, 0xb46e99fd, 0x975d772c, 0x319c9236, 0x396d3854, 0xaa27619f, 0x009c68e0,
+    0xa094f2e0, 0x6abd8585, 0x9cffc9a8, 0x9a60f0c9, 0xe6a971e7, 0x9924d332, 0x1adc512b, 0x3b441678,
+    0x9c05a47d, 0xbeaeca37, 0x39ca9c5e, 0x08f2d6e8, 0x305d08eb, 0x2773ece3, 0x48109bba, 0x7fbde276,
+    0x0d907639, 0x459f2967, 0xede8cc0c, 0x1e75ab1d, 0x007e1f2b, 0xe9e02a13, 0x5f3447ec, 0xaeb2aa2d,
+    0xb44cfc12, 0xe844fe14, 0x08b81cac, 0x228878ec, 0x8bd6f9d8, 0x687efc3f, 0x14e18695, 0x7924fc8a,
+    0xde63ce8c, 0x406165a8, 0x1aa31e98, 0x20734480, 0xd3cb7692, 0x88f71a73, 0x3b901a4e, 0x2ef0ab17,
+    0x902ef0d4, 0x1f1c2e24, 0x958e4bf0, 0x27c998e8, 0x873d9e52, 0x9cbdb71c, 0xc9164a4a, 0xd060f20d,
+    0x3ccca304, 0xe03db0f3, 0x8f0f9e62, 0x356257e6, 0x357a4f2f, 0x2d8d865b, 0x65d318f8, 0x181860bb,
+    0xd14a3909, 0x18237970, 0xaefdb9a7, 0x21d3f7a2, 0x517a4f54, 0xe314f03b, 0x88d016c7, 0xaa81b9ea,
+    0x4b266556, 0xcd43eae5, 0x5c013b3c, 0xe72dd1a5, 0x0b4fb25e, 0x6b90bac5, 0x7bc10a57, 0xf8c11b8d,
+    0x0e6f0338, 0xa1aa7082, 0xcf64d555, 0x0b1517ea, 0x160367ac, 0x6059f629, 0x1de077e4, 0x9b338c5e,
+    0x923c2a1c, 0xf1015b06, 0x1c013423, 0xad96e8dd, 0x6ccbf47b, 0x6c2dfe66, 0xfbf32467, 0x24063b19,
+    0x454dcafa, 0xeb18f1ad, 0xe09834d4, 0x104845ca, 0x94a14b1a, 0xadb5275e, 0x62a89dec, 0x8802763e,
+    0x4d971732, 0xdda59cf9, 0x0cee300f, 0x0948d1a6, 0xb48eb9e0, 0x881362b9, 0xb78f7e94, 0xa2d631ad,
+    0x3289c4ee, 0xe41e97c8, 0x1ae09329, 0x9b1ac2f5, 0xda36826b, 0x13991241, 0x8d2bfbb8, 0x49b1cbaa,
+    0xa0e40f9c, 0x96aabf37, 0x789d80bd, 0x1973938d, 0x83c42205, 0xe73a0c0e, 0x1d2a586d, 0x5c8fda9f,
+    0xb22a8974, 0x8e620451, 0xdd96ae17, 0xd320d69a, 0xc804a51b, 0xe431f8fb, 0x2f46e925, 0xfa86e171,
+    0x6db34bdb, 0x48d8e2c7, 0x883e2f3c, 0xac0235ec, 0x01abb69f, 0xcda5cb68, 0x6b03ba4b, 0x89007408,
+    0xb0301d91, 0x6aea9224, 0xcd6d7c18, 0xa565841c, 0xd2ad614b, 0x2b1287f7, 0xff8d2b04, 0x7dfb4762,
+    0x514a5d66, 0xd4254387, 0xcdf02e5e, 0xe867b05b, 0xc2a040e8, 0x40f05f97, 0x41d0f771, 0x6ab2c63b,
+    0x472ea7b1, 0xc8da9f91, 0x4e5a2411, 0xdfd4127c, 0x85f4f7e3, 0x668a71a2, 0x19dea0e6, 0x94737d1d,
+    0x327e1066, 0x57faf458, 0x7de60716, 0x5acf009a, 0xd1afe812, 0x999f9207, 0x48289719, 0xa8c87f6f,
+    0x0510ba87, 0x8b425f5e, 0x912f2ec8, 0x01c87816, 0x88e7a2be, 0xb4de539e, 0x72c3ef66, 0xb2267b86,
+    0x22b57cd2, 0xaf447d8c, 0x5d95a6e4, 0x9b1697bf, 0x7176823d, 0x96a18722, 0x994c1468, 0xadf441a9,
+    0x00000000,
+    0x076d0551, 0x88ab8317, 0xe66bc085, 0xf461e98b, 0xb9254dfd, 0x21314ac5, 0x9a4ea807, 0xc94092cc,
+    0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000091739944639602860464432835812\
+                          08347763186259956673124494950355357547691504353939232280074212440502746218496 */
+  { 0x00000000,
+    0xb4599699, 0x9d3a3393, 0x12f82472, 0x23f5a1ee, 0x5f4a8bd9, 0xfc90411a, 0xe1b8009a, 0x9402bdb8,
+    0x4af61bb2, 0x41979def, 0x4ba0a7ae, 0x58f3133c, 0xa5759c45, 0xd0a586e6, 0xd2728c3f, 0xee35c0c4,
+    0xf645de8d, 0x4f66b727, 0xbb38dbc4, 0x0c56882a, 0xc6c41492, 0xe6165bd1, 0x055c9089, 0xddcd2e7a,
+    0xf53d3fbc, 0x1002674d, 0x7281352c, 0x84c28bc6, 0x4e5503a1, 0xa4291291, 0x8fabc204, 0x58bc67ac,
+    0x8d2a5248, 0x816ed26a, 0xaeef05d8, 0x8b8b90cf, 0x214c552f, 0x95a60383, 0xdb0951ab, 0x57186667,
+    0xf388704a, 0xd531a51c, 0x0d2751d7, 0x45f1ed0a, 0xd1d040a9, 0x77e6c1ae, 0x465a5c4a, 0xf236730a,
+    0x35952f79, 0xf909f825, 0x886aa036, 0xe3b7a76f, 0x48fa847e, 0x382494fb, 0x9ac8f4c7, 0x22269ac5,
+    0x7b05df08, 0x4c13213a, 0x7306a9a9, 0x74742a2f, 0x010522d5, 0x80301f55, 0x26278602, 0x79269d6e,
+    0x494dba74, 0xea58cb8c, 0x8c04c43b, 0x46f2d898, 0x98a5935f, 0xdcb9327b, 0x393bc1c6, 0xe770dbb8,
+    0x0056293c, 0x4c778ce4, 0x14459d12, 0xe460e330, 0x6f4a3297, 0x7b85101d, 0x545e11ae, 0xa4937441,
+    0xd50c18f9, 0xf520fbbe, 0x906002b0, 0xe2c03b35, 0x82684390, 0x13d031ab, 0x9a995dfc, 0x1c5d87c4,
+    0x60243250, 0xe3ed684f, 0xbf3ee7ee, 0x24a4314f, 0xed43efac, 0x396e67bc, 0x052f21dd, 0xfde5a635,
+    0xc5f31173, 0x8ce49f82, 0x785f3e8b, 0xc3cafc0e, 0x5d975116, 0x40df530a, 0x5a84639e, 0x4827f6f6,
+    0x70224d5d, 0xaf887bab, 0x85f74bcb, 0x82e19246, 0xfe103da0, 0xaa621505, 0xb46a45e7, 0x862622b2,
+    0x90a65455, 0x0e981061, 0x1fbd7a5f, 0xc04fdfb1, 0xfd9be428, 0x0e0c0fd3, 0xd7b99f01, 0x025977fb,
+    0x62aeb859, 0xb2cd859c, 0x67105f20, 0x26702869, 0x7de89d09, 0xd506a9e5, 0xdd4b59ec, 0x4ee19194,
+    0xd3e74463, 0xe3b1c194, 0xe7f64bb7, 0x2561ded1, 0xdbcf2ff7, 0x59c5096f, 0xc6b862dc, 0x75c163e0,
+    0x3b26b680, 0x56debd36, 0x314bb079, 0x10b5f256, 0xedb10a96, 0xdae6055f, 0x79ff6840, 0xe8bde9b9,
+    0xaf0b1557, 0xcf3b9b6e, 0x8812e20b, 0x1c2d66ae, 0x816942eb, 0xb0e583f6, 0xe8ca161e, 0xfe6a95db,
+    0x19693159, 0x021d342e, 0x1082c3b8, 0xdc07094c, 0xb9377ca4, 0xb4bd688b, 0xd135459d, 0xa814b836,
+    0x1417230a, 0x8079a26f, 0xa44c36de, 0xc976dea4, 0xb4efc5b8, 0x1eac49f8, 0x460ba61a, 0x37d1714f,
+    0xb7ce8ff8, 0x2fcfef26, 0xb19ab48a, 0x48389ca2, 0x74c9008d, 0x86840d6b, 0x30a9c008, 0x5b4bf6ac,
+    0x2fba1455, 0x33fd1ef5, 0x45459831, 0x2f53fb92, 0x35187e57, 0x908a3761, 0x9a0a2640, 0x027c2273,
+    0x191cea83, 0x58b80c24, 0xd00f6710, 0x0d864b82, 0x2a556419, 0x293df835, 0xea61360d, 0x84c30529,
+    0x8b7861a3, 0x284cb5f1, 0x409c6fb7, 0x3a24e7f3, 0x673306da, 0xd0580c62, 0x86bf00f4, 0x206ac7f2,
+    0xfba88b33, 0x3038d499, 0x2ab007c5, 0x55e420aa, 0x1fc026e4, 0xcc0543da, 0x23f9a558, 0x04965a35,
+    0x549e941c, 0x73dc8a35, 0x7517ccb7, 0xe30fb5b1, 0x212f0387, 0xd10e6e4c, 0xdc99d0f7, 0x9af77e58,
+    0xccb50d3b, 0x816aca91, 0x5ac68b0c, 0x5a580a18, 0xd10988c9, 0xa510c619, 0x52012607, 0xdfe60e27,
+    0xdc258a6b, 0x185eea88, 0x4efc48dc, 0x988aa2bd, 0x652be11a, 0xd1aaea6b, 0xf9dd8ccb, 0xe0d86161,
+    0xe1fc1549, 0x78a6c690, 0xa6937813, 0x3de5a114, 0x9f3f8f2e, 0x2ea44b14, 0xe721033d, 0x2f20362a,
+    0xeb5b2e54, 0x9f1626f4, 0xc404e7df, 0xc00ff3e2, 0x31e4834e, 0x7bca6418, 0x7a9019b4, 0x7de71817,
+    0xc5c2f3cc, 0x4e1ef961, 0x0ae1b700, 0x7c9261e4, 0x1990c897, 0xb6693596, 0x98941971, 0x4f4c4d32,
+    0xdc62b14a, 0x46ebc890, 0x6549d294, 0x3ee3cb72, 0x034fb0d3, 0x367e804d, 0xb17c4437, 0x4f1c8c2b,
+    0x4fbd82e8, 0x96ac0d2a, 0xfeb31c5a, 0x0c22cd9a, 0x950e5391, 0x3e24829b, 0x213c3806, 0x1792ae33,
+    0x1d8460a8, 0x6d72d4a3, 0x37230209, 0x9dff07c3, 0x1865ffed, 0x646effbf, 0x67bb4d30, 0x2f535c69,
+    0x4eb20fe0, 0x0bfc3866, 0x9743ae70, 0xf1dc069b, 0x4f65a886, 0x7709f621, 0xb468c9a7, 0x94b2ba90,
+    0x687573bf, 0x726f2d57, 0xb4117578, 0x1e9f524c, 0xcb31009f, 0xb557f6d4, 0x4e9b102e, 0x671f6772,
+    0x4a273b5b, 0x18df14d4, 0x05df3801, 0x2eeadd1b, 0x32f6292e, 0x5a97025f, 0x44f3da9f, 0x77b8ab25,
+    0x9aa72f20, 0xca2baa0d, 0x068b141c, 0x7a7244de, 0x4b12e059, 0x7365e719, 0x22b8876d, 0x0bf074d5,
+    0x23bf22cb, 0x508a0c8e, 0xeb89c318, 0xe97a8efc, 0xf6664e91, 0x9605acfe, 0xc9b7b137, 0xfd3fb203,
+    0x12cc9d31, 0xc4c97bea, 0x907c803f, 0xe1a4abd1, 0x690dd303, 0x6564cd61, 0x50dce5d4, 0x0686fd08,
+    0x0ce7e670, 0x3ad348ea, 0xe50e440a, 0x17dd06ff, 0x066aba53, 0x47e3a32a, 0x703316c5, 0xc4fa9d79,
+    0x1427ba1b, 0x0acd48d7, 0xfa1850b7, 0x7670ff68, 0x1967ddbe, 0x35984c33, 0x11d02347, 0x68e135ad,
+    0x0601c514, 0x39f9dc32, 0xf0a7a2c7, 0x657ce17b, 0x46145fe9, 0x4a601f5d, 0xb6a22738, 0x56b82c8b,
+    0x18824bc3, 0x458ad665, 0x5bd2f246, 0x2db979fd, 0x77852300, 0x8614c060, 0xd88209ea, 0x517ff4e4,
+    0x47b457e8, 0x378f073d, 0x90090034, 0xd1c9fc76, 0x7c6a1906, 0x5bf7063e, 0x743a5707, 0xba56c943,
+    0x41261a57, 0x78aaf9dc, 0x3863aacc, 0x1dece36c, 0x56c579da, 0xbcd35126, 0x817a4c5f, 0xf970bd11,
+    0x974d8698, 0xf43c245c, 0x7f06fe48, 0x7dae45dc, 0xa780fcfd, 0x89096de5, 0xe3b91bb7, 0x5495af6f,
+    0x0d5baa22, 0x9d1192a8, 0x164326f1, 0x67074718, 0x0006a047, 0x8839ef68, 0x3e4b8700, 0x6ddb4974,
+    0x3d5e9aa9, 0x2f115a7c, 0x304a1bb8, 0x6adccf26, 0x60b8efe4, 0x0694394e, 0xfc8ba970, 0xed4e0d29,
+    0x7d1eb5e1, 0xe69e7c0d, 0x6f69dcb3, 0x3773d2a3, 0xbe727818, 0x7d7176af, 0xf6064938, 0x113fca82,
+    0xf2a7faa6, 0xda3e39b1, 0xbc2276ae, 0x0d59ca4a, 0x8d3e526b, 0xc142db25, 0xed98a69f, 0xc5e322ec,
+    0xa54078b0, 0x16457206, 0x90eb6c12, 0x40314380, 0xb1c07c29, 0x15bbc2ae, 0x977d41ef, 0xeabdf05c,
+    0x8c960016, 0x12826f8c, 0x7102db07, 0x2139396b, 0x8172e18a, 0x118ea42b, 0xc31f9511, 0xaccfeb4e,
+    0xbe9e223d, 0xfe941394, 0xe2628f58, 0xc76e25e7, 0x21a48bb3, 0x60098295, 0xfd9bff08, 0x395df7d0,
+    0x7c0b67cd, 0x3bc80277, 0x7d6aaf47, 0xb6461d98, 0x38178c89, 0x2f30cfb6, 0x0158ae92, 0x711a87f2,
+    0x287603d9, 0x5b7d096f, 0x0696c693, 0x6240679f, 0xdb4248d4, 0xe73a4d40, 0xb2230321, 0x671546ec,
+    0x440d5f6f, 0xaf44c65a, 0xcf8c0296, 0x83615ec7, 0x490725c8, 0xad2b15f9, 0x58295249, 0x0ccb0480,
+    0x4f72c6e5, 0x85b1f1d8, 0x3415afe1, 0x264734d3, 0xe021ff1c, 0xb2409cac, 0xab08b6bb, 0xf827b1b8,
+    0x1c0a9c38, 0xa985145d, 0x5cdba328, 0xb322c8a3, 0x6456b43a, 0xf0d04418, 0x051826c0, 0xcaf001b4,
+    0x4204f4be, 0xfae2b63d, 0xaa724b1c, 0x6fe62298, 0x5e3713e9, 0x569f1012, 0x77c30e6d, 0x25fd4d86,
+    0x823ff027, 0x5dde59d6, 0x45579ff5, 0x9082d79e, 0xc9f0397c, 0x29cdad34, 0x73f0061e, 0xf1d49308,
+    0x3865f614, 0x28152fc9, 0xa8a15df5, 0x5ac9c20c, 0x64d5d82e, 0x31a0fc26, 0x33fe8799, 0xf467c7a0,
+    0xb7f71383, 0xf9af83f2, 0x2db20f67, 0x50406726, 0x0a229e29, 0x4ca5d1f8, 0x5c430a51, 0xecc14e7f,
+    0xd9d65706, 0x37c2c57e, 0x3b3586f1, 0xcc9b73a6, 0x09c4c831, 0x4f0e9027, 0xcad72d63, 0xbe8b159a,
+    0xe433f865, 0x773eb847, 0x41e35d21, 0x37c62a4c, 0xc78624f2, 0x7f937c7f, 0x6b8bbad4, 0x57272715,
+    0xbf3cde56, 0x35d23009, 0x46d1acdc, 0xc527dcdd, 0x813975c8, 0x4dee21d9, 0xb2c8c6f1, 0x259fc2bc,
+    0xe31c6c8f, 0xb0e29bd3, 0x8ee1a792, 0x490ed1b7, 0x498d93da, 0xbf870717, 0x591f2db3, 0xf3361f7b,
+    0xa877c899, 0x86649401, 0x2a90503c, 0x59784b65, 0x82a4d98d, 0xacfc1f5c, 0x484afc5a, 0x9b078cf6,
+    0x23ffce63, 0xde87b281, 0xaf5d3abd, 0x945f64ea, 0x32480c2b, 0x614c835f, 0x9c8f12ae, 0xd9aa26c5,
+    0x6b827871, 0xf08a3dfb, 0x97f6e9ee, 0xe063a0d1, 0x57363b6b, 0x731809bb, 0xcfd7cd97, 0x85c90f8a,
+    0x44bc2a7c, 0xc947d572, 0x2561878a, 0xc3752633, 0x1c21a2ac, 0x111bedbc, 0xda980d1e, 0x3ec587c7,
+    0x1803cb5f, 0x404ea4ac, 0x1d98addb, 0x7a204935, 0x7cf10792, 0xe4484e4e, 0x32f35898, 0xc58af7d7,
+    0x1bc874d4, 0xfebbf412, 0xfb095413, 0x67e2c397, 0xb020deab, 0x2c44232b, 0x01125217, 0xc23aa268,
+    0xcec8b755, 0x6c853c36, 0x5a53c130, 0x75e988b5, 0x02932ab5, 0xfdb77bcf, 0x059b260d, 0x1eea5cc3,
+    0x2d132b42, 0xa2c4496d, 0x2aa77962, 0x024ba109, 0x76e6f5a8, 0x462cae80, 0x5d848102, 0xb7371c7d,
+    0xc7fcd6fa, 0xfa038a72, 0x4b97fde5, 0x529776f9, 0x2d1f3146, 0x12490491, 0x73320824, 0x032daaba,
+    0xb8b6c52c, 0xe4ac500a, 0x36093149, 0x2e2898de, 0x13e1cfac, 0xe327a21e, 0xb6f4fb6f, 0x2269e75a,
+    0x5c283262, 0x8b225c05, 0x13dacb3c, 0x40c26130, 0xf5de5eec, 0x7cff9788, 0x14c6756d, 0xd3365fd8,
+    0x493b532c, 0xe8076681, 0x8f589e9e, 0x5e519878, 0x6cf60f32, 0x347b753f, 0x7ba1dea7, 0x71d49118,
+    0xd075d090, 0xa04bc126, 0x1001ba78, 0x81d2ea9f, 0x0a2241a5, 0x1a5bf48c, 0x5d5db3bb, 0x12926dbd,
+    0x2ee980c2, 0x32eca238, 0xc65fd83e, 0x5aecce3c, 0xd2256c69, 0xd2ac6068, 0x93e7cb1e, 0x39e55514,
+    0x5a3cc02e, 0x6a77f86f, 0x35bd019d, 0x70a5ce0b, 0x3213a3eb, 0xc9799825, 0x46d01e1a, 0x3537d654,
+    0x9f4b328a, 0x3e9677af, 0xd15bc4b3, 0x1164babf, 0x0cc4d344, 0x8cbd2737, 0xa57c5e13, 0x6e4a5744,
+    0x2006bac4, 0x56d1b6f3, 0xd96dded0, 0x6acd17f3, 0x4c4c7e45, 0x29e5f361, 0xba9456b1, 0x793c72c9,
+    0x09778019, 0x8369143a, 0xc0ce263b, 0x531de4d9, 0x1dc6d773, 0x6375faab, 0x604beec2, 0x7d18dc42,
+    0x3cf6e7e9, 0x7cf81877, 0xd9e2095e, 0xd4300909, 0xe32c3c70, 0xcfb8f3cb, 0xdc6d1988, 0x3ae46309,
+    0xfb3166d1, 0xc40033ff, 0x5b160534, 0x3b98e93f, 0xf5c42566, 0x456a653b, 0x55b07c1b, 0xc67684e6,
+    0x2e37b82a, 0xba8244d7, 0xb46b9f9f, 0xcd006cab, 0xa34c71f0, 0xb6e19bbc, 0x04f0c79d, 0xc4709af2,
+    0x5205b8d1, 0x6cfc683f, 0x0e55fd97, 0x5ab3151e, 0x78654d2a, 0xca4293fb, 0x10b5494b, 0xc611f60b,
+    0x19a30ece, 0xa24cd2db, 0x7b9fa6e8, 0xa2318492, 0x1cec6f2e, 0x5b7eb88e, 0x78021386, 0xf89104b9,
+    0xce7d3710, 0xa2fab15f, 0x6c7eaabb, 0x9d037a61, 0x165699b6, 0x55a5d886, 0xdcfb4619, 0x39c3ed3c,
+    0x25bffb62, 0xe7048a4a, 0x6ef08a05, 0xf0ab8811, 0x3a818cd5, 0x5120ffef, 0xf5943d8b, 0xbd67febc,
+    0x8724a52f, 0xf4bbb92b, 0x8475e39d, 0x5caafc5b, 0x347a2e96, 0x02a55d17, 0x90465155, 0x7e6f6e46,
+    0xdb87d377, 0x74555bf7, 0x05b85c8f, 0xfdd8b38b, 0x00537663, 0x0566fcaf, 0x846bb08d, 0xbe8f0302,
+    0x48429e3e, 0xf7cb1487, 0xc18903ef, 0x3835ffa1, 0x82b85faf, 0x1c945c25, 0xda3b8457, 0x66a27924,
+    0xa1da72ad, 0xab15fc45, 0xfcf46a02, 0xfd08a72a, 0x2f94b9c1, 0x8c2f9483, 0xe101dbcd, 0x9e924d3b,
+    0x7ed94857, 0xd297eac7, 0xa75d614e, 0xa7ae079d, 0x70b873c2, 0xa5a67417, 0xedc5abe2, 0x403e2486,
+    0xfe3fce12, 0xecbbcea8, 0x1e01bddf, 0x91512b84, 0x22445eb3, 0x47c5a559, 0xb3b42cbb, 0xa217f1d8,
+    0xc2e01120, 0x1e950f58, 0xe3728f53, 0x4112ef47, 0xbc518625, 0x21e4049e, 0xd0b0a8e0, 0x70d08274,
+    0x68e4860c, 0xd16b37fe, 0xccde15a8, 0xea822a12, 0x795dd661, 0xeebad4ce, 0x998fec55, 0x9326e696,
+    0x5f102052, 0x009fa183, 0x4f5083d1, 0x702bd09f, 0xb39b97fc, 0x8af2d06d, 0xd57ff137, 0xb8be253f,
+    0x16dec55d, 0xea2ba8df, 0x30f2cad1, 0xb1319652, 0x3cee5f6c, 0xaaf75ef8, 0x637f319b, 0x631eb846,
+    0x4ec124b9, 0x378ba3e8, 0xc4334849, 0x3550cdc2, 0xc3c239c8, 0xb9927bf4, 0xffdafa65, 0x5cef7a93,
+    0x71689603, 0x6caa6344, 0xb0c20ed9, 0xda5a31d0, 0xd85d51f3, 0x5597474a, 0x10aaefe4, 0xdf890902,
+    0x9452590b, 0x73240782, 0x7f9fc230, 0xf20deabc, 0x9c3a20d5, 0x89ad52e3, 0xdb54a2ce, 0xd73f43a0,
+    0xbc94789b, 0x39d84eb7, 0x9b359a46, 0xca102d74, 0x96f57aba, 0x0cb0a106, 0xfd939edb, 0xa4d33cdd,
+    0x1e1743ee, 0x78f14378, 0x7f97ef9d, 0x19379d0c, 0x9270e913, 0x2aadc20e, 0xb251da2f, 0xd9c60e2c,
+    0x09b69acf, 0x11d3f9ac, 0x0ab4f1a7, 0xad4ee390, 0x8ffd6088, 0x1f1e381e, 0xe683c9c7, 0xc3a82d41,
+    0xa03f2441, 0xa69c0d9c, 0x08772653, 0xb669824e, 0xc8286334, 0xea2691e2, 0x5a856026, 0x96cc493d,
+    0x5911bce9, 0x6495dee3, 0x687cfd96, 0x69b31a47, 0x506f35b7, 0xf690af14, 0xe15ad71c, 0x76a5c51f,
+    0x272d3529, 0x74a47362, 0x80c8d874, 0x5d70a4b8, 0xca0ad634, 0xfd0c7182, 0xfe264958, 0x72281881,
+    0xd936a4d5, 0xab19c9be, 0x1f060d5c, 0x0f0b7c89, 0x35fd1179, 0xf81f1dc4, 0xc4ca9348, 0x39683f41,
+    0x55117009, 0x27ed4702, 0xa43c837c, 0x737adf6f, 0xbc2baab7, 0x4fca09f3, 0xf44a0c0a, 0xc835fdd2,
+    0x276b7590, 0x2dfba630, 0x79927fc5, 0x3eee219f, 0xb4b2e16e, 0x7fc8c4b9, 0xfdd2df05, 0x183ac94b,
+    0x81bc38dc, 0x1219da23, 0x6520f5f0, 0xcb7a7d9a, 0x0189d565, 0xcd36fd6c, 0xc12ff03b, 0x27c953bb,
+    0xb1ffc216, 0x4ac7b72c, 0xf8d1e306, 0x8103b803, 0x7d067aa0, 0xa9a0bfdc, 0x53315fc8, 0x496f0c03,
+    0x7838ec99, 0x0e098a13, 0x7b5906cc, 0x35fee883, 0x01ffa172, 0x97ac9020, 0x846628ce, 0x52c7f10a,
+    0x2c94be05, 0x6ec580e6, 0xc3835452, 0xc17b66c7, 0x8217cdc4, 0x5190723b, 0x4d5e1155, 0xa7088a0e,
+    0xe3b0a843, 0xde52f93b, 0x00b6dc88, 0xd0df4555, 0xf1d7db73, 0xcd0a6dba, 0xdac40fed, 0x40a550d7,
+    0x8f124a0c, 0xb2912415, 0xb1dedc14, 0x8424aeff, 0xab4a3438, 0xcd0da524, 0xe6fe7624, 0x00cf4e12,
+    0x38d88f20, 0x42d0da4a, 0x6c41afd5, 0x3ee93cd0, 0x96ddb9d0, 0x294e7d96, 0xc54956a5, 0x7094ad8e,
+    0x187160d7, 0xb5b21964, 0x7da94c76, 0x6ad80866, 0xfb565cc7, 0x06c62d3a, 0x02f4a347, 0xe89abc5f,
+    0x7acf5edb, 0xaf06d853, 0xed3a7b7f, 0x381344f4, 0x6cbf06dd, 0xa502fa4c, 0x1c1729dd, 0x305222ac,
+    0x72469f51, 0xfc679fb8, 0x6b22f371, 0xec1da696, 0x75dfad28, 0x1b3e4557, 0x99462dfe, 0x31fce101,
+    0x0edda8c3, 0xf544e04c, 0xf8689103, 0x5a83ddff, 0x3cabcc59, 0x55e934dc, 0xea46c091, 0x9537e87a,
+    0x00000000,
+    0x83b682a8, 0xc455c18b, 0xf335e042, 0xfa30f4c5, 0xdc92a6fe, 0x9098a562, 0x4d275403, 0x64a04966,
+    0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000045869972319801430232216417906\
+                          04173881593129978336562247475177678773845752176969616140037106220251373109248 */
+  { 0x00000000,
+    0xf6aafb37, 0x6335225b, 0xa93546f7, 0xdd3a1e3e, 0x49e2741e, 0xbff4c065, 0x3eac23b0, 0x62d44649,
+    0xc798842d, 0x1e617d67, 0x4808c3d8, 0x6556aaaa, 0xf65f14ff, 0xbf3c20d7, 0x188217cb, 0xd694be26,
+    0xca5cae54, 0x6183f6f4, 0x2ce2ecf9, 0x8b21030c, 0xb8892758, 0x548f7f11, 0x21fb7fa4, 0xee04ecc3,
+    0xb2fc9c64, 0xaec633db, 0x021e68be, 0x0fc2a406, 0x00069de1, 0x4e535522, 0xde21bd70, 0xde118833,
+    0xf32fc31f, 0xb5fb52a2, 0x88e25599, 0xe5cd59eb, 0x29f04da9, 0xe68064b1, 0x44af4464, 0x139d3ea3,
+    0x7af6c7a9, 0x32378fde, 0x9bb955d8, 0xf38f592a, 0x6a44d9ce, 0x169d645e, 0x948b233e, 0x41636db0,
+    0x4bdb9088, 0xc87834de, 0xc12a0f54, 0x7c43b649, 0xac54fcaf, 0x9da41157, 0xc213cbf4, 0xc08549ec,
+    0xfcd61976, 0x5b2da3fd, 0xd8d73db4, 0xe89ebb13, 0x787ad8c5, 0x2ff05ec6, 0xf074b9eb, 0x98677079,
+    0xf935739f, 0x31a67fd1, 0xbe20a841, 0x262639cb, 0xb6c6cab0, 0xc4dd7d90, 0xd64d8e91, 0x86240bde,
+    0x2a6684c3, 0x9b317c39, 0x32ca5bc3, 0xa80c3cf3, 0x5f1511bd, 0x4557ac99, 0xe438c520, 0x05b1986c,
+    0x11bfa8c3, 0xb9502af5, 0xcf73bb26, 0xefbc52db, 0x5ff4b758, 0x96a26d3c, 0xdcef4f2f, 0xe3ccbe82,
+    0xcc2d7e32, 0x14d8eada, 0xd28db060, 0x48f7f373, 0x3e00df65, 0x817f4c6a, 0x069e212e, 0xe335f803,
+    0xaef3bf06, 0x5c71f661, 0x0eaf63bb, 0xf1380779, 0xe1642eeb, 0x2cc58d72, 0x29a65d4a, 0x18ed9586,
+    0x13d5a047, 0x38821b1f, 0xd26ceeac, 0x93342e2e, 0x4659e95c, 0x6f89e3e4, 0xc006c8c6, 0x01500c9d,
+    0xe1ee2850, 0xfc7c1156, 0x2f4c5566, 0xc436086b, 0x7b2bcfcb, 0x3c98c0a3, 0x135485b6, 0x0b12a0a2,
+    0x5c7fe5c3, 0xdbd2ce81, 0x0064a291, 0x016825fe, 0x85f2264b, 0x750213f1, 0xeb48299c, 0x0c09c7be,
+    0x78a669ce, 0x70e7a8bd, 0x033a5e40, 0x6553e7e2, 0xce400cbe, 0xd20b1e95, 0x72d03748, 0x6c2cb7f1,
+    0xa8cc7e66, 0x1547cad9, 0xc960ce42, 0x54d14b80, 0xcb6dc810, 0xec1928f0, 0xdd35c07e, 0x665f1210,
+    0xa839ccc4, 0xb775959a, 0x5d93aed9, 0x1af2b6bb, 0x5ef090ab, 0x63f9207c, 0x98633bbf, 0x0168a244,
+    0x1dcc303a, 0xa7fbc608, 0xa7f293ed, 0xea900fde, 0xabb0008f, 0xd53c068e, 0x052c7733, 0x007f11ed,
+    0x7a1cf464, 0x724dcd9a, 0x5f9adc9e, 0x04362190, 0xd48ae7dd, 0x31c4ba56, 0x8720bba9, 0xc46bd35a,
+    0xf5b938a4, 0x32e0da4c, 0x061e86b6, 0x39afc9be, 0x0da38c1f, 0x912a2111, 0xb5d66ab6, 0x69038af8,
+    0x544d2733, 0x751c049a, 0x875fe873, 0xe1d037ea, 0x41a0aba9, 0x332b2b7a, 0x766cc6d3, 0x41988cc1,
+    0xfaec35d9, 0xfded38e9, 0x8b45c65b, 0x40537475, 0xff8271c1, 0x6d2e7e9d, 0xfbbfafd8, 0x9d408a24,
+    0x67f30530, 0x12950c35, 0x2306d73e, 0xa3af0246, 0x31a3bcd4, 0x5a873771, 0x57ee120c, 0xe3a0271d,
+    0x4ca5bf45, 0x3a8e382e, 0xaa90ee19, 0xb82eba80, 0xdb13e9c1, 0x6398786b, 0x9c3d1e38, 0x7ba4783c,
+    0x6a2eeaa9, 0xf8eb5545, 0xd45e6686, 0xd75f9110, 0xa7fd28b1, 0x31db5378, 0x08a8223a, 0x014195c8,
+    0x3429fc15, 0xca3572e1, 0x018f44e6, 0x89e21914, 0x25e48baf, 0x5f2e0a44, 0xace730c0, 0xc7605287,
+    0x90515ad9, 0xb904ea89, 0x4ed5ea28, 0x3cf8f8b0, 0x91f573da, 0x53ecd754, 0x6dcf6d6f, 0xd9af1dd8,
+    0xe47a3d60, 0x5a0ce298, 0xb683e976, 0xfa10d56d, 0xb4ecc68c, 0x1bd65658, 0x6421c6ec, 0x616348ce,
+    0xd8c4958e, 0x951d34ad, 0xa5d2c181, 0xcd757948, 0xe6066a2f, 0x8ee0f2da, 0x2bf4f213, 0xd3b96a09,
+    0xac617b74, 0x4d05b498, 0x8e54053a, 0xac0b155f, 0x06e3dfbd, 0x07c95cd8, 0x94a2ab23, 0xdbff8676,
+    0x18d19b42, 0xbc14c749, 0x99b90a93, 0xb131c54e, 0x660d29bb, 0x8dd1ba58, 0x668ec67b, 0x179860bf,
+    0x6b80d30f, 0x743e153c, 0xf86aca39, 0xeefe18a8, 0x94c475d4, 0x4b87ef87, 0x09abc468, 0xc4f44ba0,
+    0xc4fc1622, 0x4a1d0cc2, 0xa07dbeb8, 0xbcfb53d6, 0x1ff5360e, 0x387d6c28, 0x0c04dbc1, 0x13ff4c79,
+    0xcdf47150, 0x3be1adea, 0x81b4760a, 0x944d4bf8, 0x9fb5a284, 0xa65e07f5, 0x84828fd1, 0x5f3e6815,
+    0x2f75d7e1, 0x7685786a, 0x73cd72c9, 0x1150e987, 0x273eaead, 0xa263eb08, 0x6ce8181f, 0x56c1d469,
+    0x71269ec0, 0xb442294d, 0xbef504e1, 0x3d83643b, 0xf3e49457, 0x2fcdaa95, 0xe9641991, 0xebcf7744,
+    0x79e33a5f, 0x44fb1edf, 0x2fa2bd5a, 0x4c729570, 0x93721e24, 0xafa64957, 0x56a73515, 0xfc37a234,
+    0x03997cbc, 0x4aad6ce0, 0x30889eb9, 0xa62aef88, 0xa32ad6d3, 0x4c08d430, 0x27b4146b, 0xb38c24d9,
+    0xe5ba0c7d, 0xaead8fa1, 0xc3f39b28, 0x47fdccb4, 0xc7c98dfd, 0x2866cac2, 0xc0ef81dd, 0x214e91f2,
+    0xcb322f4e, 0xac06b400, 0xf826e417, 0x851ce45c, 0xafcd975f, 0x09272216, 0x2dd3a82d, 0x6d03c6e1,
+    0xb5f5b841, 0x83a8563d, 0x69414f26, 0xee460875, 0xf9fd35bd, 0x6f2d24f4, 0xbd71c0ab, 0x8a24f2dd,
+    0x1e76df50, 0x1bc03031, 0x4d4502f6, 0x0787dac2, 0x133d95f3, 0x35184eee, 0xc152ea88, 0xd78cdf0f,
+    0xf87f8015, 0x9ff59260, 0x6534a748, 0x9ef2891a, 0xf47a00c5, 0x640f7cce, 0xdad98151, 0xc0879c14,
+    0x0bf3be13, 0x03da27b4, 0x639bd742, 0x0103338a, 0x367c805a, 0x6ed3f091, 0x4455e2c8, 0x98512537,
+    0x6e10d5ae, 0xbfc4c3c1, 0x667fd2ee, 0xa25ea003, 0x73b88bd0, 0x030ef477, 0x5faa058f, 0x86219c06,
+    0xdd6a2595, 0x167a4fe6, 0x9eba57c3, 0x10a11daf, 0xee028be5, 0xd14f61bf, 0x5282f4a0, 0xd1734ae8,
+    0xfaf6b2a7, 0xe29716ba, 0x26cee0aa, 0xe66615e2, 0x5392cfc4, 0x3b872471, 0x6cc0d2d4, 0x7245e0cc,
+    0x620a295e, 0x9af497a0, 0x3e563a9c, 0x15beec7d, 0x8bfd7b6c, 0xbe341255, 0x40289553, 0x43c417c8,
+    0x65fa03e4, 0x542aaf89, 0x255b2979, 0x8378cfc1, 0xb14497c7, 0x0ec6691a, 0xc739ef63, 0x9f574805,
+    0xa75fe478, 0xf59ec23d, 0x43a835c5, 0x9b714cef, 0x15488f7c, 0xc9f93c9e, 0x4e21e400, 0xc44d7293,
+    0xf92f647f, 0x3de4b872, 0xeafdc9d9, 0xa1834f43, 0x1e2345d0, 0xa2852487, 0x476bf891, 0x56cdbdb8,
+    0x600bfe1d, 0x839265ae, 0xef5218f9, 0x250ed5a5, 0x9f9ca988, 0x26cc2f69, 0xcf2e88d0, 0x9ce1174f,
+    0xcdeb2d57, 0x8b118cb0, 0xb51e515c, 0xac6d0c48, 0xf6da3afe, 0x6bfa1d0b, 0x991fe038, 0xdd6ab658,
+    0x2a08466b, 0x2a7633b7, 0xd0ef2662, 0xc4bce2f7, 0x29bbbbd5, 0x923e5210, 0x41aa937c, 0xdb5dd2db,
+    0xf87b4601, 0xc8c4fcf6, 0x4ac5156b, 0xe2719f74, 0x4d73a476, 0xf3119b85, 0x98f5aacc, 0x5d861844,
+    0x60f4a46b, 0x0c95d122, 0x3de2510d, 0xc5dba51a, 0x22dde54e, 0x96713d52, 0x78a83083, 0x7a87bae4,
+    0x7d1ec6ae, 0xeed56e0e, 0xe3d28955, 0xc1e46db5, 0x5b3cb1d4, 0x468b3e4b, 0xad595c40, 0xefbe0d75,
+    0xa748b55b, 0x7f8b4a25, 0x0f05058c, 0x6488edab, 0x5208fbcf, 0x4687140c, 0xbd90fd43, 0xe47d5ef2,
+    0xab4a9e27, 0x1db11938, 0x99977fdf, 0x22a1ba30, 0x58653a82, 0xf73b5d9f, 0x8ea8dea9, 0xd1ba8b60,
+    0xb7caffb7, 0xc9aeaf24, 0x0a5210f0, 0xba129452, 0x36b7ac42, 0xb4c7cc78, 0x643b2421, 0x50fc93a0,
+    0x6a5b3601, 0xa07e4dd2, 0x5dd3d597, 0xcba156b0, 0x680b39bc, 0x5108f32c, 0x8307a8d9, 0xaae5f370,
+    0x83ee788c, 0x5b06d793, 0x9275598c, 0x0242b265, 0x9a9228fd, 0x03ce0bed, 0x3999bea1, 0x2aee4270,
+    0xba95bb46, 0xb5a68d63, 0xad4acd2c, 0x1eb881a0, 0x2103beb9, 0x7b94cbd7, 0xfa494d64, 0xb18dd981,
+    0xbd0b1aa4, 0xe8508736, 0xe57766ba, 0x140a6222, 0x46252f5a, 0x417f147e, 0x567b126d, 0xea3eac1f,
+    0xb2c6cdbc, 0x99f6dc3e, 0x95236af7, 0xda7dbb82, 0x35787973, 0x5ad23853, 0x4c94498a, 0x0d10911f,
+    0xabe5b9a3, 0x44ece317, 0xb75bfec9, 0x652fedb1, 0xd93f657d, 0x5c82bb94, 0xe6a69295, 0x0be6dcc5,
+    0x6a3b5403, 0xc593907d, 0x64030be3, 0xcc19247f, 0xb6f40775, 0xff6c7e96, 0x101ad2e0, 0xe7441388,
+    0x947b010d, 0xf2fa70ee, 0xe8097d25, 0xb89024b2, 0xcc302342, 0x82fec6fa, 0x9c5ee415, 0xad1a0d97,
+    0xaa7863bd, 0xd45d749d, 0x7306c871, 0x4910c27e, 0x10c25729, 0x9dd7434d, 0x8b8f8f72, 0x0673b836,
+    0xde9f2c0d, 0xb613e998, 0x9e155827, 0x480b2119, 0xc8cdcf62, 0x43120660, 0xa807967e, 0x1bd85223,
+    0x4016522d, 0x0e9210bf, 0x6686999a, 0x731bf2af, 0xfa4c9a75, 0x805d4443, 0x69003089, 0x393df493,
+    0x717103ab, 0xb82de3ed, 0x11895785, 0xa0f8ec09, 0x1cb7a061, 0x119d2d01, 0x2569d5da, 0xe7440a79,
+    0x6b9605c5, 0x135b557a, 0x8de41cf3, 0xf3e6d941, 0xe4d4611e, 0xcb667834, 0x12184ef7, 0x16671d88,
+    0x87448cc0, 0xa232c034, 0xb2371b49, 0xb6ffab12, 0xa791bd96, 0x9759d0a3, 0x5ab44d08, 0xd62e7cd8,
+    0x9d4be8e7, 0x00815ef0, 0x12717ee1, 0xbad9c273, 0xd01c26a8, 0xaad827e5, 0xb8880364, 0x52d03a11,
+    0xb44cd717, 0x3e6b171f, 0xb58ef5c1, 0xaeb37837, 0xaa49b0b3, 0x47516147, 0xef89b649, 0x679a6919,
+    0x713d3c8c, 0x03336a28, 0x6956a767, 0xf3f9ccc5, 0x02c4bc47, 0xe997b0b9, 0x9641c1c8, 0xa795963c,
+    0x0446dacb, 0xa7da769b, 0x31658ed3, 0x649eb2bd, 0xea186006, 0x7607631b, 0xbf2b9610, 0x93048f8a,
+    0x8a16af47, 0x8753edeb, 0xfa923014, 0x44592482, 0x7cfc1923, 0x2c539a6c, 0x175c4e7f, 0xedae5514,
+    0x5b427283, 0x799967cc, 0xcc4e5916, 0x9cf94071, 0xbc91039d, 0xc2bbf598, 0xf15662de, 0x7f4dd698,
+    0x9eae6c1b, 0x04fcefd0, 0x1bb5777e, 0x3c591e4f, 0x3bcce602, 0x7d6d943c, 0x4744b467, 0x9d9054ed,
+    0x151cb8a9, 0x0ef9d9e9, 0x50ec5476, 0x381a426d, 0xeb128930, 0x32db01d1, 0xda4c3894, 0x80e64399,
+    0xfac53bfa, 0x2f789c2a, 0x05fe92be, 0x28a725b1, 0x4d61e9f3, 0xc68f8ab9, 0xf1e3f1bb, 0xd7ddd989,
+    0x7a2c69a2, 0x382b7834, 0xc3c9f324, 0x2c09d00d, 0x93d8738f, 0x68f1487f, 0x0836d3e5, 0x87f31efc,
+    0x5edefed5, 0x2c586590, 0x75ee79ee, 0x11656c56, 0x8017018d, 0x662c22ba, 0x061a8cdf, 0x56d99793,
+    0xa14288df, 0x9e34086c, 0x843b1d7f, 0x90b5a52d, 0xf425dd9a, 0x781a5e96, 0x8d681005, 0xa7f9f727,
+    0x1653a9cd, 0x571b8b23, 0xc2352c35, 0x44f87b67, 0x0cdd3eea, 0xbf5e165b, 0x99a0d5a0, 0x842490df,
+    0x195acea5, 0xe92784a2, 0xf1da51bd, 0x022e3872, 0x6400794e, 0x632d123c, 0x0ae17585, 0x33081bcf,
+    0xdc813a5d, 0x08629ba8, 0x6cb7c926, 0x73c23a34, 0x857ff0b4, 0x5c4ef748, 0x930e6d79, 0x5351947b,
+    0x9b7c8d09, 0x8452f75d, 0x55a125d4, 0x6d438cc9, 0x87ff601c, 0xd8432f6e, 0x484613fc, 0xedc4c7cf,
+    0xa310859d, 0x396b3efe, 0x765531c8, 0x663e9ff6, 0x4e173f2f, 0x793ae1f3, 0x35b03d05, 0x2d6cd091,
+    0x156fbc7a, 0x34a59cd8, 0x22e9b589, 0xbf1f8f6a, 0xdb198d7b, 0x11a01a1f, 0x1f421817, 0xfe42bbb2,
+    0xf8af492b, 0xcbe280c0, 0x392bbe6f, 0x9a8b0c9b, 0x57e58406, 0x668fe959, 0xbe313442, 0x3793ed44,
+    0x8e1521b3, 0x2ff84c14, 0x30b039d2, 0x5a4b07ee, 0xa0da0610, 0x2dab8994, 0xd10d701e, 0x128573b7,
+    0xa35e0833, 0xee17d033, 0x04b550c8, 0xffc0c847, 0xb7a4cd3e, 0x705b6d10, 0xe7c5dc63, 0xad91a17a,
+    0x07c7d0b9, 0x4ce74688, 0x21d04aed, 0xbf4208cc, 0x722a37bb, 0xc2c0642c, 0x05f19727, 0xafbdb7e8,
+    0x2ed44f18, 0xda80498b, 0x194dbd11, 0x9447f0a1, 0xee34806d, 0x16873a6c, 0x8ad05e3a, 0x380d8fed,
+    0x098aadaf, 0xd04bc9f4, 0x68d846ab, 0xdd732809, 0x3616cf2f, 0xc326cd83, 0x6e59a7f6, 0xb989fea8,
+    0xdc88f389, 0xcee7b1f4, 0x59364bc2, 0x9d55d287, 0xe9b4f6c3, 0x13cdebb0, 0x16b394bf, 0x89acf5de,
+    0x6de98a18, 0xe12f1024, 0xa57899ed, 0xaa9e97ac, 0x340abfc1, 0x0c0e9c56, 0x69cff9a2, 0x6bef9c1a,
+    0xfb2db853, 0xc2bf8535, 0x1b732eef, 0x3ea71fd1, 0xb8525f4d, 0x46d0ed94, 0x346af54a, 0x5fd41b8b,
+    0x70137f53, 0x354e498f, 0xa40521d2, 0x32867ada, 0x039a7880, 0x0dd16278, 0x89b4ed18, 0xe6fa39ec,
+    0xdafa51a9, 0xe09f9478, 0xbb70690f, 0x22ee9753, 0xf2e2f855, 0x6a94a65e, 0xc12b33d1, 0x607af7d1,
+    0xca57f788, 0x0f7b6c78, 0x721dad61, 0x835e3a3b, 0x792585ea, 0x7c7fa488, 0xeba8d9e3, 0xb8942264,
+    0x07bcdf95, 0xc822162a, 0x7d7831d8, 0x4fa4dfeb, 0x559f3454, 0xd7b3a679, 0x8c783fe6, 0x2a2f8cdf,
+    0xc41aff07, 0x5e99873d, 0xee1ee92f, 0xb0651887, 0x52993954, 0x24068acc, 0x1a91b7a8, 0x9a0b48a6,
+    0x8f0d785d, 0xeab7716d, 0x264bcd3a, 0xb20d1066, 0xb39d757c, 0x3bb3deaf, 0xe7378dcc, 0x2db4a010,
+    0x9bd8a17d, 0xdcf752ff, 0xebc8ae75, 0xd26d5393, 0x227f01f5, 0xa1fdbcb1, 0xd8ccb4fd, 0x5bd0bf46,
+    0xde0f8e91, 0xf0d0cc77, 0x4cba0fda, 0xdfe0dbe7, 0x0964758d, 0x8a80d4eb, 0x8d1aa848, 0xbc3aa7ad,
+    0x2c13e601, 0x9031908a, 0x97c9320d, 0xd621747c, 0xa8d4c9fd, 0x433de1c8, 0xa13f22d7, 0x8e1ba82d,
+    0x38e8292d, 0xafd14454, 0x9b1404ba, 0xc6a64d91, 0x2a3870b2, 0x9412693d, 0x30a0149a, 0x924373b3,
+    0x794c9f58, 0xfaae72b5, 0xb5f0dc17, 0x797f6767, 0x2d59df04, 0x6773c9a0, 0x508ae606, 0x296c6cd8,
+    0x7e50e9fa, 0x57c540e3, 0xe60a60cf, 0x5558a21d, 0x95688dbf, 0x712675b9, 0xbe1ae188, 0x6a83b32a,
+    0x20730e18, 0xf91bc692, 0xa2ad59db, 0x9abb14ae, 0xca5f6091, 0xbdc8c855, 0x6d264bb9, 0x371512df,
+    0x1e64ff9b, 0x8e2d633c, 0xd247348a, 0x7e4c9dcf, 0x88ec4f93, 0x9a04f53d, 0x931c9ff4, 0xa2e54dd2,
+    0x1db95a51, 0x0cd66daa, 0x734f7a27, 0x3ca19a18, 0x039e3de8, 0x9f904dba, 0x35da7927, 0x933e8091,
+    0xf9049335, 0x97d83356, 0x5436af33, 0xc061e121, 0xc03e585b, 0x8e796137, 0x8fcf687c, 0x9ec52dac,
+    0x6796bab1, 0x1baa86b2, 0xf490afa4, 0x300ea321, 0x1796564f, 0x6633a7c4, 0x388839a2, 0x6c3b1848,
+    0x1c8c515d, 0x425d3dc2, 0x3ad85aa7, 0x2707e0e0, 0xff428e6c, 0x5ecb310b, 0x4201fd59, 0x98fe9e60,
+    0xe8cd91cd, 0x12f65908, 0xe158a56a, 0x31956b74, 0x4e042e85, 0x668236b4, 0x5764a396, 0x9097db0a,
+    0xcc2ab47e, 0xde2a5d61, 0x48b21c24, 0x9189584c, 0xa5087e8f, 0x0b4f1114, 0x0a77086c, 0xde4211d8,
+    0x3a2b7639, 0xc0043507, 0xd1e01eec, 0xe72be26c, 0x1a295dae, 0x644d0978, 0x2de137b8, 0x6b9ebb0d,
+    0x1e9654cd, 0xd20ca058, 0x9ea22c41, 0x8840f855, 0x5db27311, 0x10c415da, 0xd742150d, 0xf4e2d614,
+    0x88abdaff, 0x6b73e2ea, 0xc07e1418, 0x235fd5ea, 0xb42c84a0, 0x272eefb5, 0xe6ce7565, 0xc372ae04,
+    0x00000000,
+    0xc1db4153, 0x622ae0c5, 0xf99af021, 0x7d187a62, 0x6e49537f, 0xc84c52b1, 0x2693aa01, 0xb25024b3,
+    0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000022934986159900715116108208953\
+                          02086940796564989168281123737588839386922876088484808070018553110125686554624 */
+  { 0x00000000,
+    0xf815660c, 0x0731fc90, 0xa7ced8e9, 0x7914e3b3, 0xb63e102e, 0x6811748d, 0xa5fa8d2f, 0x8e6dac48,
+    0xdd16e397, 0x1bc37c2f, 0x0eb14b19, 0xe3f49d3f, 0x4ea9dc38, 0x702c3d1c, 0xac1f1a9d, 0x28908d3f,
+    0x422a8d62, 0x6770f6db, 0x08448be6, 0xaa158a4f, 0x8aa8b7c4, 0xcdf70534, 0x8c32da4f, 0xce0b73ce,
+    0xd4b616fb, 0x3cfa797e, 0x1436222f, 0xbfc6711c, 0x7c921958, 0x2856bbb6, 0x51c44350, 0xd3abb012,
+    0xa51cdeb3, 0x88371a31, 0x5a3464a3, 0x3624ffcc, 0xa413d6a5, 0xa6cade37, 0x13a3c547, 0x89d82d32,
+    0x0b186393, 0x3ad1fc3c, 0x096bab7b, 0x9c4ef210, 0xec6a9f1c, 0x47fc2dd8, 0xfce91536, 0xce555195,
+    0x2758052c, 0x08baef6e, 0x375a8794, 0x494607e7, 0xeda682e9, 0x401b8e87, 0xd847c3fe, 0xebdf6b56,
+    0xc2022823, 0xd2248366, 0xbcca78ea, 0x8a118a95, 0x5e150ca3, 0x7683972c, 0x66c97583, 0x18ab45db,
+    0xd7a7de78, 0x54758edd, 0xd72023c6, 0x992b2b5a, 0x551e2fa1, 0x7e9b408c, 0x22b10f54, 0xdf9bf730,
+    0xc412eced, 0x6d87dd7e, 0x55f4555d, 0xb5dda46a, 0x3e64d18b, 0xdc2b007a, 0x08bbb32c, 0xc38c3459,
+    0x72ba0f08, 0xec5a8fe4, 0x100bba03, 0xbdd4864e, 0xee45becf, 0x5191f357, 0xc7c7423b, 0x9d0af032,
+    0xf948713e, 0x69d1f4b0, 0x22ff5d5a, 0x9805ae7b, 0x96794caf, 0x4c0792ee, 0x526d0289, 0x1f3bd002,
+    0x60b1b7f9, 0xfd425ca8, 0x125856c5, 0x2e4fd4cd, 0x87785eb2, 0x45d7dc3e, 0xa1030a88, 0x474ddd97,
+    0xf2761b9b, 0xbfa143ca, 0xe619c2c8, 0x021096d3, 0x2157278e, 0xc191c1f8, 0xcff312c7, 0x009bfe82,
+    0x6463b804, 0x7a731248, 0x09c63b11, 0xfc1dde5c, 0x16bcec9d, 0x1c393f9d, 0x24051731, 0x4735071b,
+    0xb7467ba2, 0xe87c5154, 0xf256a589, 0xd42f993d, 0xc3c13725, 0xf2b45459, 0x96bdee5b, 0xacb2d720,
+    0xf0d7b4c7, 0x9458e5ee, 0xb3c049de, 0x552c2d1a, 0x7692bf98, 0x5b1eb638, 0x62efbf49, 0x8cbc4726,
+    0x75a04648, 0x452685c1, 0x663bdda3, 0x47c08f55, 0x17b45f42, 0x3f0766e8, 0xbd209f34, 0xef6e4a25,
+    0x43410670, 0xefd49e1e, 0x0522420a, 0x1b62782d, 0x57a54f53, 0x8fd603c0, 0xf9b98f0e, 0x10e7683b,
+    0x20f569b4, 0x837291c9, 0xffda2907, 0x85ca7876, 0x687f1178, 0xf8e62f9c, 0x1adc37cd, 0x7d9948cd,
+    0x6929ec2f, 0xfbd3d956, 0xd294255b, 0x8692770f, 0x44dae1f4, 0x44489205, 0xd010890e, 0x63e2adc4,
+    0x086df6dd, 0x8068d091, 0x58b90c5c, 0xae1aeff3, 0x5625d5ac, 0x89d8b0bd, 0x2114c1fa, 0x46cb46e7,
+    0x68e2e945, 0x4b54e09a, 0x798dc684, 0xb66a4be3, 0x90ea8ae4, 0x373e0a46, 0x847f7b5b, 0xe3159dcd,
+    0xf522103a, 0xcfc0dddf, 0xf0a3d717, 0x6954e635, 0x8f9cb6de, 0x2d28f600, 0x0728819a, 0x731e56f0,
+    0x6197c5a1, 0x3f27c1ad, 0x40ab76a8, 0xd58c0290, 0x2c70018b, 0x9aead5c6, 0x8729cd10, 0x6ff6410a,
+    0xbb81413d, 0x6e3c6643, 0x8f210386, 0x2dcc3577, 0xd0b69fa5, 0x86b0bd1b, 0x647dc4bd, 0x2102524a,
+    0x3ddc452f, 0x31287de1, 0xcf31d3bf, 0x935bf56a, 0x36ff9fe5, 0x3e351e83, 0x5e547322, 0x9578cb0e,
+    0xdbc76e0a, 0x0abb106b, 0xf00214c6, 0x7f316aa6, 0xba339b8f, 0x34b575ed, 0x6ce24e7b, 0x23c49e37,
+    0x44e7bcc1, 0x2b0c61bf, 0x42cc5d11, 0xe4d45b3a, 0x4816e076, 0xb2976502, 0xad27bc2c, 0xc8ef6816,
+    0xc74fb50f, 0x435d804f, 0xb6497b2b, 0x633b169f, 0x398a7ef9, 0x379e7ce2, 0x1e798c4b, 0x677fb15c,
+    0xc2b53411, 0xdf785958, 0x77ce6125, 0x40d1330f, 0xf87f5940, 0x47bc0815, 0x95ac229c, 0x2882abeb,
+    0x092b9e83, 0x172fa198, 0xfb0625b1, 0xd1e22fdd, 0x5338b334, 0x17c42ea8, 0x109a047f, 0xff88dbc1,
+    0x53273b64, 0x2e0bbb4c, 0x17e29d31, 0x4c96db21, 0x0e9351e6, 0x8d8e3680, 0xe187b7af, 0xd668bbc4,
+    0x8a258380, 0x342f303e, 0x88e36e3f, 0xc098ad06, 0x005307bf, 0xe868b081, 0xafdfc522, 0x5b08898a,
+    0xa1ac4257, 0x967477fa, 0xc4ad137c, 0x09f7867e, 0xd7016ce9, 0x54508922, 0x00ef131e, 0x9e622d29,
+    0xe31e6b52, 0xc7d31eb0, 0xff99846f, 0x43207a61, 0x8f84c56d, 0x44427e24, 0x5d4a5a05, 0xdcf5cdef,
+    0x4954e688, 0xc84c8474, 0xd83a236f, 0xf7fc22f4, 0x0ed97231, 0xcff0ab3f, 0x90a01902, 0xab4937bf,
+    0xb4d1ba8b, 0x565e3e03, 0xcb8c1b55, 0xb6840e47, 0x02d743c4, 0x3efc420d, 0x61c24d57, 0x0eabdcab,
+    0x11a79beb, 0x293e5106, 0x2b92f688, 0x60ee67c9, 0xe24f4cba, 0x7b650f69, 0x02bc4ca0, 0x1633f2b5,
+    0x35da8432, 0x670d9600, 0x50edd34b, 0xadcc4834, 0x225f5380, 0x8f1577c7, 0x4b84ae80, 0x616c40a4,
+    0x4247fc43, 0xaa24e788, 0x48ada1d5, 0x5dd00440, 0x378e6cef, 0xa6a14f70, 0xe8f1b78a, 0xa39930ee,
+    0x2fb434ea, 0x0a8a3f57, 0x49bae06f, 0xed866be3, 0x749e2ce6, 0x38dc7fa3, 0xef2ebebf, 0x038d241a,
+    0x8866c26e, 0x31f5ec22, 0xe81e0b14, 0x63fc7ddc, 0xbe3a6cff, 0xd67ddb1e, 0xfd1a1ee1, 0x3cb6c810,
+    0xc59853de, 0xc54f5d0e, 0x1e4c38b2, 0x8d1485ff, 0xf0aa0a0a, 0x54316a81, 0x6fb35692, 0x4c8d9557,
+    0xc8899cb7, 0xa6bbe222, 0x424a5dcb, 0x24396876, 0x0b22afba, 0xa9c31edb, 0x3fe40c46, 0xb3388e26,
+    0xebde4037, 0xffa975bb, 0x3158d95f, 0x2c9d1443, 0xe872e567, 0x209f2052, 0x9e87bab6, 0x786ffcf3,
+    0x152df5b8, 0x75e5b1f7, 0x60a6e051, 0xa9d88ab9, 0x419fe1d7, 0x4d073405, 0xda3a4412, 0x9e429b54,
+    0xb2a8f403, 0x97695b95, 0x48720ac6, 0x7cf47bd6, 0xe6b5c21a, 0x578903aa, 0x5bdd19b8, 0xea5c9044,
+    0xea59feb3, 0x1296dbaf, 0x7173591f, 0xd1902dae, 0x76b9dfe7, 0xc1629711, 0x8add9b0f, 0x87ce22b3,
+    0x3933f08b, 0x6d620366, 0x3b14e18d, 0xfdcf7b03, 0x398c8e53, 0x9e6ce111, 0xfbcd8137, 0xb347cc9b,
+    0xd19b44c8, 0xeed6a4d8, 0xac7f702f, 0x613dbdd6, 0x5ae4ddef, 0x2fd49d94, 0x32cbb9a3, 0x6d293ae7,
+    0x5c76e48b, 0xd4a9c322, 0xcf5e2d3f, 0xc965617f, 0x510eb2a2, 0x086f4af7, 0xb55f7254, 0xd48b558f,
+    0xbde49397, 0x9a64407d, 0x10570912, 0x468e114c, 0x9d8e386d, 0x0770a8ae, 0x26e84620, 0xf521b25b,
+    0xe2e39d9d, 0x857195c8, 0x25ebdcc9, 0xccc9e1c9, 0x72e8c409, 0x4ff59983, 0x8eb601ca, 0x878023e9,
+    0xcc0e2d5c, 0x92eda2f4, 0x7634087d, 0x14742227, 0x75fcbc78, 0xf9582fbd, 0xeb2a54a0, 0x4fd39147,
+    0x06fde3d1, 0x11304288, 0x3b6d36ef, 0x1b5c0519, 0x0c04209e, 0x0adc3ecc, 0xc5fdaa8f, 0x62b06b42,
+    0x84d24e85, 0xc66d4aba, 0xc7be4853, 0x60bd0d7a, 0xc5fa9f38, 0x280ca543, 0x280d99eb, 0x5c65ab2c,
+    0x816fa18b, 0xa7f99f52, 0x1a37a783, 0x6f9cbd72, 0x0d0b304c, 0xe02d248a, 0x71986d53, 0x3464f30c,
+    0x0295590a, 0x41085159, 0x9286eccc, 0x6683aa09, 0x2605fbf9, 0x2366abdf, 0x3121fb05, 0x91675961,
+    0x7426a5c2, 0x2ec533e7, 0xdd841332, 0xbc5f77d1, 0xa5253bdb, 0x7683dcd0, 0x7de2a6a7, 0xc1c33a1e,
+    0x90b65d58, 0xcb014477, 0x599b5105, 0x1a2815a4, 0xb8671a2b, 0x6c015c10, 0x413e157c, 0x2da3dc6a,
+    0xe3f98915, 0xff84be7b, 0x430cf9a5, 0xe1db2b8d, 0xf1a06b1f, 0x1e1dfa16, 0x594b3851, 0x741ed237,
+    0x09da67ab, 0xc6b48fde, 0xd4e9e49f, 0x9f493cba, 0x1b66c299, 0xf54280e2, 0x36195e71, 0xb439f490,
+    0x86e60303, 0x9103e66e, 0x299c69e4, 0x43272221, 0x64079444, 0xf35b4504, 0x34fa7359, 0xdcb98b99,
+    0x8a6c9cc3, 0x62850d85, 0x417b3703, 0x63ae5965, 0x8289cfcb, 0xe042c902, 0x9258e7fd, 0x31ea3e0b,
+    0x902c5132, 0x4ef10d6a, 0xffc0e982, 0xc6be240b, 0xf350abbb, 0xa5231a62, 0x70a7c358, 0x555fe987,
+    0x9d1dff0b, 0xa8f1e68f, 0xb4d0298c, 0xc3c34aa0, 0x3462f52e, 0xb4cd8522, 0x6b1839ab, 0xde13aa20,
+    0x50c9b89a, 0x58e76507, 0x0cc1a2d9, 0x5bac5c2c, 0xd545109d, 0x560263f8, 0x8cf7cd9e, 0xefae8f39,
+    0x072292b1, 0xf80d083a, 0x618f82a5, 0x71b29b69, 0xd05bbc5d, 0xe2b4f03b, 0x7ca3398f, 0x165e9c79,
+    0x5e4761a1, 0xabd0f186, 0x19a5345a, 0x15ce3b4d, 0x09ada872, 0xb45fa109, 0x47e342e4, 0xb0c58320,
+    0x83a11957, 0x7d211f2c, 0x58364859, 0x47a44dd1, 0x27e35027, 0x2023e402, 0x75d211ae, 0xd31c9ca9,
+    0xda571909, 0x9c2c9d30, 0xa37cc5fc, 0xf914afd5, 0xb44e071c, 0xf84e0a28, 0x001491d3, 0xba4c2f61,
+    0xbca28103, 0x65e1a03a, 0x1e5089f4, 0xd899a777, 0x9d62fd2a, 0x9a8b4ed2, 0x9d507b79, 0x8ac4cd48,
+    0x2916a4d4, 0x6b30af64, 0xbe60b6a2, 0x10e0e8d8, 0x6b32e6b8, 0xf2371f04, 0xa05edc47, 0xc129cf74,
+    0xf51e1b97, 0xeb60b30e, 0xa61cb168, 0xe64a52cd, 0x70f27eb6, 0x279ac298, 0xbab36f21, 0x807c4d42,
+    0x6f25f1fe, 0xfd3f3e82, 0x2fbbb1f3, 0xb78f3f69, 0xa7ef619c, 0xd79870ae, 0x4bdabbae, 0x9b6020b0,
+    0x5822e39a, 0xd49c81d8, 0xc9877c61, 0xc7e8d2d5, 0x2253e029, 0x6aa02716, 0x8794358e, 0x7d5ffbe4,
+    0x8ac82cf4, 0x72d3d3b5, 0x605a9c83, 0x41558fcb, 0x9f2ed3a2, 0x8d1ee72f, 0x6b3834f2, 0x5bbbaf93,
+    0xb6a8f0a4, 0xc478dfcb, 0x44a98e7b, 0x7b1f5d1b, 0xd5b3e8a7, 0x9ce9f560, 0xb24f32c4, 0x8bff4e93,
+    0xb5bdcebd, 0x30ac7e83, 0x808a74b0, 0x87e7617b, 0x5eaaa855, 0x28018ab3, 0x808c4433, 0xf31792d0,
+    0xdf4bbde6, 0x369c275a, 0x5ffac236, 0x803d44f5, 0xcc7845c8, 0xae377002, 0xb81b4b82, 0x14c8a7f3,
+    0x75bf1330, 0xdb101093, 0x76129278, 0xcc3c4c39, 0x52efb10e, 0x40838b40, 0xb39a5119, 0xa06b0026,
+    0xd6eb6653, 0x45a50b5e, 0x179e3e86, 0xe7e9ac8c, 0x0ceb515f, 0xb5bcb197, 0x3b58549e, 0x735202e1,
+    0x22b5f2d7, 0x12f09e9c, 0xe6cbbd20, 0xa5b20b99, 0x83207e4c, 0x32807403, 0x05b71702, 0x71979e37,
+    0x6e4bb41f, 0x0eb892d4, 0x01aae1b7, 0x44871a9c, 0x7c86e329, 0x3fc6d09f, 0x217b3b26, 0x0a29b5e2,
+    0xa5f72dd8, 0x9f051121, 0xeba1b249, 0x988258d4, 0xaede2abc, 0xd8057774, 0x7fb694e9, 0x1577a4ff,
+    0x11aa7753, 0x2337b4a2, 0x888ee59f, 0xd1f97172, 0x05548a40, 0x1b724169, 0xffd69a21, 0x57f7b57a,
+    0x91975a65, 0x558574e8, 0x2ea79701, 0xa13cecfe, 0xdccb633f, 0xe994fc1e, 0xe05f7e6b, 0x2d26697f,
+    0xebb54dcf, 0x72272008, 0x998e0197, 0xd786bdd5, 0xbb38ec9d, 0xc7787804, 0x5462a3c9, 0x6b0cb963,
+    0xdc0d6f05, 0x67e7a955, 0x88b59c0a, 0x36174bd8, 0x48e2b6f3, 0x4c00658a, 0xacc4c9e1, 0x2007e322,
+    0x2ef74eb1, 0x58ea94df, 0xa90f1b78, 0x06c007ab, 0x88483e69, 0xd4ce8b45, 0xf28681ab, 0x2d46fcca,
+    0x014687bf, 0x7cd30d06, 0x2511211f, 0x98c044df, 0xabd2329b, 0xa49d5aca, 0x1d548984, 0xfa30ceaf,
+    0x4d293916, 0x4dcd3a2a, 0x3bb3016e, 0xaf9f657e, 0x5e425a5f, 0xb8410e42, 0x8b891757, 0x02b20b16,
+    0x8f85bc2e, 0x9fff3ebf, 0x718ac800, 0xe591bd58, 0xc89119b9, 0x304dda8f, 0x6f499cb6, 0x63ace34d,
+    0x785f6001, 0xa9961015, 0xa2a268e0, 0xf7deb955, 0xea6b2fe9, 0x752fb67c, 0x5155dd6d, 0xb4088b6a,
+    0x4ac0c127, 0x0cde0572, 0x6ca51400, 0xd43f4e15, 0x4abd5ea7, 0xca31a360, 0x4c382ec0, 0x2b296856,
+    0x892f6840, 0xdd094011, 0xd4d1c3d9, 0x859d9bea, 0x3fcf275f, 0x0591dc87, 0xa6b3fe66, 0xbc012cfa,
+    0xdbd015be, 0xf38cf074, 0x5ecbd475, 0x000d1f24, 0xdfca79cf, 0x0663fe62, 0xf375db4a, 0xf576b8ef,
+    0xb9b8cf94, 0xa989bc33, 0xf04fb034, 0x1ab00570, 0xb7387b6c, 0x08165906, 0xaff20b02, 0x5ff84afb,
+    0xc24677d6, 0xd18ac66a, 0x7882d634, 0x4e618ea1, 0x48be4e60, 0x1770d50e, 0x84f0b0df, 0x5670d043,
+    0x92634dba, 0xfd924291, 0x412a114a, 0x31c5f828, 0xf240cb65, 0x0d9ecbe2, 0x8697cd22, 0xabc571d6,
+    0xe958f0c3, 0x77bc60a0, 0xef971306, 0x5a52c111, 0x0d33b617, 0x5da410b3, 0x211e8427, 0xb66891a9,
+    0x64ee0f17, 0x97601ea2, 0xc97bd1b7, 0xbedfe4a0, 0x97fe5a0e, 0xdf578969, 0x04862813, 0x9f65eeb2,
+    0xca3dc8b5, 0xbb7813cf, 0x8d001716, 0x6a31f14f, 0xa1f7a785, 0x16b4cfd9, 0x2c46aca6, 0x88850339,
+    0x8f57b71e, 0x317570b2, 0xb30b100e, 0xb30411b4, 0x058b49ee, 0x6e95d59e, 0xebb00a9d, 0x4ce42904,
+    0x205e6c81, 0xc9607225, 0x5779c8fb, 0x54664ca7, 0xf5a04e0b, 0x86b1393f, 0xbf55256d, 0x59b4939e,
+    0xc31ed934, 0x6ad11a44, 0x2f892d54, 0x58ed2e4b, 0x8832b50d, 0x79682494, 0xa5e474a3, 0x116ed0d8,
+    0xed80bb27, 0x855b3b30, 0xe11698bf, 0x3eee7a8b, 0x97b3fa70, 0xbf285ea8, 0xeae84771, 0x7bf2540f,
+    0x9c434736, 0xdc292044, 0xa4f6f255, 0x2d426d62, 0xef5d8df3, 0xd634eb6a, 0xe6e0f6aa, 0x212b7573,
+    0xdbb7a83c, 0xb16179fd, 0x0b68596b, 0x958a0dbd, 0xf751cc3c, 0x76c00f04, 0x908e87af, 0x2fdd71c1,
+    0xb8ba6c47, 0x9ff132d0, 0x5bd39c49, 0xc70ed8ad, 0xb13d0e41, 0x22a78615, 0xebbb101d, 0xff86f848,
+    0x6f8d6591, 0x426c5880, 0x0e90d726, 0x4d5784a8, 0x0e91b103, 0x5b7d314b, 0x40613c45, 0x5e6f7d47,
+    0xe44b1481, 0xa11fdcbc, 0xf720669c, 0x6dc3f30b, 0x10fc2d2d, 0xa6ebac7b, 0x783988b4, 0x7d4e3e66,
+    0xc0b8dabe, 0x0c8fb883, 0x342b9687, 0x51965764, 0x7ff3043b, 0x396e916b, 0x00bb319f, 0x8caa3682,
+    0x5ff5dfc1, 0x16f33a73, 0x4f04f87b, 0x24400bfd, 0xb30195b8, 0xf5283699, 0x18fe7d84, 0x6691b68b,
+    0x0a556480, 0x50b7bbb2, 0x4a1809e4, 0x6fee128f, 0xaeae1f81, 0xe1beb935, 0xa8ac1328, 0x7233ece6,
+    0xbb2e1e30, 0xde72200c, 0xa00e504b, 0x86f9ef1d, 0x947e0049, 0xe402a54a, 0x5ac20c43, 0x93d1687f,
+    0xb368568d, 0xc092a3dc, 0xee9df1c2, 0x30bf23e8, 0x28e2f7d4, 0x13dae263, 0x84704a0a, 0x5d54d666,
+    0x9d036de8, 0xb9fe447d, 0x291b4316, 0x5223ba80, 0xec40840c, 0xaaa0cc9c, 0xa85a19ee, 0x93adb426,
+    0xfd509566, 0x43786fc7, 0x19ba6194, 0x1aa6eacc, 0x920211df, 0xea582111, 0xb0636441, 0xcca62c66,
+    0x286590b4, 0x0c0ecb97, 0x9af3b501, 0xbc617327, 0x6206bff8, 0xd01c31a9, 0xdb3dd624, 0x5e44a246,
+    0x988c19f7, 0x99b388df, 0x66fcd9a6, 0x9e3dcc65, 0x267ebae7, 0xfb3fd8ff, 0x26128304, 0x1bf4527e,
+    0xe29c95b1, 0xa0dd8e18, 0xd726327f, 0x80afef3a, 0x29f412ae, 0x8a7814a2, 0x0f3a6026, 0xb3ee2965,
+    0x0882a4ed, 0x6ba11786, 0xcb633735, 0xb715846c, 0xe0f5acbe, 0x4f4d6dc9, 0xe00fe245, 0x5c20850a,
+    0x637dba02, 0xe003c972, 0x1193ea51, 0x04987645, 0xc0714688, 0x82b775f2, 0x68771dd9, 0x10876583,
+    0x5574ea54, 0xcb56f1d3, 0x9c80e183, 0x84b9bdf5, 0x4fecf5aa, 0xb45ec45c, 0x27ed411f, 0x9e2b3062,
+    0x00000000,
+    0xe0eda0a9, 0xb1157062, 0x7ccd7810, 0xbe8c3d31, 0xb724a9bf, 0xe4262958, 0x9349d500, 0x59281259,
+    0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000011467493079950357558054104476\
+                          51043470398282494584140561868794419693461438044242404035009276555062843277312 */
+  { 0x00000000,
+    0xd32fa482, 0x543598e5, 0xe0c176ad, 0xe643c8e3, 0x8aca7a1d, 0x1cc571ec, 0x58d699c3, 0xf1034a1b,
+    0x1a9965ec, 0xf97b2261, 0x60f873d8, 0x2ab61e90, 0x97e1b7da, 0xae72a6ae, 0xfdddf9c7, 0xf4defff6,
+    0x9e7b01a4, 0x093dac0b, 0x5c0e0e4d, 0x6ae02278, 0xac2e993d, 0x02087022, 0x541563a8, 0x81c2c761,
+    0x9e2bf97b, 0xd76796c7, 0xd7e10008, 0xb483ea66, 0xa9a81831, 0xcfe3c6c8, 0xcd760249, 0xc3cb01ca,
+    0x5e7b24b6, 0xd6c5076b, 0x49293ba5, 0x4472d333, 0x62a2d4c2, 0x4e7def57, 0x549a9004, 0x5db601cf,
+    0x31f2f599, 0xbb646eff, 0x2b5dd8d8, 0x05077e92, 0x471602d8, 0x56bfe570, 0x9aa19adf, 0x2a44b6f7,
+    0xd8044d70, 0x5f2c80be, 0x624a1ac2, 0x60fcd1cd, 0x0918668e, 0x139415ec, 0x590a0117, 0x06cea970,
+    0x5c23a52c, 0x17191bd9, 0x22478a4e, 0x1b254aad, 0x4fd0051e, 0x9cb4a300, 0xd91a590e, 0xcb4a1504,
+    0xc1cde855, 0x4d737362, 0x560ac4e5, 0x6b56a174, 0x113e20a9, 0x9c653d38, 0x05267036, 0x0eb9f19a,
+    0xc9194bdb, 0x99636d29, 0xe66fea6e, 0x8f5c5b54, 0xc3bf1b14, 0x05a86401, 0x3b0bd73c, 0xaf9e46ac,
+    0x9a0466a7, 0x2d6fb287, 0x494fa0cc, 0x9286409b, 0xc643ea6f, 0x0d7a1963, 0x1420ed7f, 0xafa6e614,
+    0x002472b5, 0xb8bbc0fc, 0x9bda0dc2, 0x68bd445c, 0x82a82f9a, 0x6f207e84, 0x6e0a96ed, 0x924857e9,
+    0x0d08b051, 0xd72a6627, 0x8195d3bb, 0x70eac61c, 0x2c417857, 0x838d294a, 0x88d5b9bf, 0x30f0815e,
+    0xc2f774b2, 0x92b97a48, 0x2eb87535, 0x5a21bb02, 0xf2dbd1e0, 0x1ac4bfa8, 0x1a389a25, 0xfe2be04e,
+    0x1abe2eaf, 0x77d192be, 0x328e3efe, 0xef63d0c9, 0xf7ad5a6b, 0x8037fd3e, 0x5e85a44d, 0xa2a39d8a,
+    0xb107ee26, 0x654f244a, 0xf8029d3e, 0xbdfa46c4, 0x073e401a, 0x0dde0bfc, 0x2b6048a8, 0x94520c06,
+    0xdca905ab, 0xd05ae151, 0x10630d88, 0x5a126e59, 0x4c7e35a9, 0xb00287d0, 0x205a066b, 0xb46ea3f1,
+    0x42667598, 0xb6d0057f, 0xf100641f, 0xe193a03e, 0xa6cf47e7, 0xe764b48e, 0x82ccc9df, 0xdb3d86c4,
+    0xcbeaee9d, 0xdfe0b5a4, 0xf79cc1bc, 0xd6a6b2d7, 0x9f37182b, 0x95d62335, 0xd02cd006, 0xb4c8872b,
+    0xc39ac807, 0x9342f1b9, 0x1eabe748, 0x6bbcb77d, 0xf4890dc7, 0x96b98abc, 0x721211e4, 0x4c0d7d5f,
+    0x017c32a0, 0x419734ca, 0x2700a445, 0x621d2266, 0x407032eb, 0x42b4b14a, 0x7ca1805b, 0x465f1a37,
+    0x0c866b38, 0x9ca2fdab, 0x560ac671, 0x8da3b376, 0x9a26b5ad, 0x902120cc, 0x813e50e6, 0xca81857c,
+    0x02380b1c, 0x4b0c9df6, 0xe4e61c65, 0xc0c85ec5, 0x3eb70437, 0x18d04dfa, 0x74f3296f, 0x15f439db,
+    0x744b10e3, 0xbc4e6e92, 0xa549d2f9, 0x63995945, 0xc85fad91, 0x87283500, 0x02958ed6, 0x610d0513,
+    0xf5c625d2, 0xaa8519c3, 0xfe92a561, 0x1f9b1064, 0x05f679c3, 0x7ce23d32, 0x557b9657, 0x0c03bf25,
+    0x20a8187c, 0xa0f03fc6, 0x8ee689e1, 0x95b470d0, 0x5fc1666c, 0x23d7b2de, 0xed8e5442, 0x00ac934d,
+    0x4ae9a86e, 0xad927d57, 0xaf38bd32, 0xa5ddefe8, 0x8cd2b5c6, 0xe1070166, 0x0dae46d3, 0x1c7f19db,
+    0xf0f8a6da, 0xc64e451d, 0x4336ebbd, 0x00104e15, 0xf4f6e984, 0x3db78671, 0xf62417c0, 0x9f0275df,
+    0x09bb7fa8, 0x4eb9cbc0, 0x667ff59d, 0xabc067b4, 0x0db0bb9b, 0x6fa01fb6, 0xa5c2c9e7, 0xbd9f2358,
+    0x531db161, 0x8462253c, 0xbf85d49f, 0xd5ddd08a, 0x63f20b3b, 0x135cce9a, 0x7ea51ca1, 0x2c1bcb73,
+    0x3ee09807, 0x2b70936f, 0x66a1df81, 0x7486ee91, 0xef48a7d0, 0xcb24b79f, 0xeb8b931a, 0x6f15b8cf,
+    0x846e07eb, 0x6ddcc976, 0xf555bde5, 0x4091de3e, 0x27305da6, 0x9d090438, 0x601294b0, 0xeb0ceacf,
+    0xc9d879dd, 0x733d9656, 0xcfd9e29a, 0x543c0f72, 0xc44c8b2e, 0x38f0ba2e, 0xc6e0a7de, 0x65f2dc67,
+    0x8884b02a, 0x56cf4fe5, 0xbd38e650, 0x4ee01e99, 0xdba796a8, 0x8bbe7afc, 0x44f7ec2b, 0x9c675b5a,
+    0x935a9815, 0x71266b79, 0xf1a7e2eb, 0x15d60f0c, 0x1f1f5634, 0x7e7829f0, 0x9ac2e13b, 0x62124188,
+    0x9d0cc42e, 0xac9c0562, 0xfa05f5c5, 0xf9aed63c, 0x022af998, 0x972bc1a5, 0x329b1386, 0xcfe74e89,
+    0x8a38d417, 0x0daa6d9f, 0x2c6026d5, 0x5b03b519, 0xbef47110, 0x658d9a0e, 0x31c46e6c, 0xe1872ae9,
+    0x19da6af3, 0x69cff007, 0xaed1b551, 0x8023192b, 0x01bef831, 0x7c34ab71, 0xf55eeb8a, 0x79677c81,
+    0x10617f81, 0x243852b4, 0x6457a007, 0x3eac57ef, 0xab5fbdd4, 0xe9bbc95f, 0x73e8c288, 0xc539fb21,
+    0x1b48a471, 0xb3827d4f, 0x0e845b90, 0x34f2f3d5, 0x7dab8613, 0x9fdc618f, 0x7f1b26bb, 0x4c33bba4,
+    0xe6111d7c, 0x00f1a229, 0x5573ffaf, 0xb55d4015, 0x41d5ca61, 0x844e3be7, 0x400db644, 0xca97b3d7,
+    0x5e394671, 0x6a6162aa, 0x6e7f8f66, 0x8a4be1d5, 0x9039c2d8, 0x52137f80, 0x45e4ad96, 0xe7a7bee3,
+    0xe04caaa9, 0x554ca393, 0xf5d2b97e, 0xaa770b0d, 0xa97d65ae, 0x5ab099e5, 0x554f8f09, 0xe46fcde9,
+    0x2d28c5eb, 0x4e9c8620, 0xbe365d0d, 0xff6a98e2, 0xde9cb6b8, 0x4f1e42b4, 0x6fa1a3c7, 0x20ef4bd1,
+    0x473d4e04, 0x42892062, 0x3fae6714, 0x4647bc74, 0x072fb443, 0xc3b6110e, 0x01e6f1a4, 0xdf77fb39,
+    0x88dac79c, 0xefed61ef, 0x68dc04ff, 0x31db8ee0, 0x277c50a5, 0x14894a57, 0xb97ffa85, 0x1771bd34,
+    0x53ec74d1, 0x9f86e551, 0xb9fc6799, 0x33669654, 0x05d7744d, 0x31b9b7e8, 0x6f5e76be, 0xe30d9529,
+    0xc297ad2d, 0x1e1611fc, 0x8dc68235, 0xe58d68a8, 0x2f44893e, 0xb37dd251, 0x220c0fc9, 0xe1584eb3,
+    0xc5459d44, 0xe3e0f201, 0x82139688, 0x7cdcfb5d, 0xdf33b709, 0xc043a919, 0x1a996472, 0x8fa16906,
+    0xe0724859, 0xc80f5a45, 0x7ad1fa92, 0x66602963, 0x57c94130, 0xc4a1a219, 0xb4da6960, 0x707f970c,
+    0xf865411f, 0x856c2a9a, 0xd5b0f47c, 0xc46ce811, 0xb6521291, 0x546d05f2, 0x62d57ad9, 0x135fbe9b,
+    0x4cb83bb2, 0xf0223821, 0x47433745, 0x02881c4e, 0xb192f2aa, 0x02e4dd7c, 0xf76fd687, 0xe64ffe20,
+    0x719d120d, 0x199fee18, 0x488cc356, 0xa5481686, 0x75d73f2e, 0x757effcb, 0x22e6fbd1, 0x8fe9b3a8,
+    0x09f97180, 0xe65b8312, 0x7fc34ae0, 0xca1bbe62, 0xb16c4efa, 0x1cdc710f, 0xf2d354d7, 0xac5c1703,
+    0x3685b801, 0x6cec1784, 0x7d28c12f, 0xf0b62327, 0xb80d08f5, 0xe4affb5d, 0x1627ea47, 0x2d40719a,
+    0x928b8a31, 0x5a7d2ddf, 0x5794eea4, 0xf6140a3e, 0x457a1424, 0xc12310cf, 0x8ef356b6, 0x00da2adb,
+    0x88187c10, 0xac2af5cb, 0x8d4bfe8e, 0xf532d743, 0x98557933, 0xab35ef71, 0x9c2f705c, 0xe0c39121,
+    0x5572211c, 0x0a29bb3b, 0x563885de, 0x20330d74, 0xd374a032, 0xf01a1954, 0xfb2fadf5, 0x521641e7,
+    0xcdff2ef4, 0xc6f6c4a2, 0xaccffa78, 0x31c5987a, 0x82f87ee7, 0xcb5ac574, 0xad4c04cc, 0xdefc58b0,
+    0x83637bd3, 0x83a6e9f4, 0x39bf296f, 0x8f4be132, 0x289e3d2b, 0xef00fe5b, 0x9a324b35, 0xdc0800b4,
+    0x402f287d, 0x331a7c36, 0xafbc91a5, 0xc6b51c36, 0xe24976de, 0xab202483, 0x8f76758a, 0x0c0e7562,
+    0xaa1cb78c, 0xfe045c36, 0x4f6e7a95, 0xf271685a, 0x6712afbd, 0xf0b1b945, 0x3cefac35, 0xa3ef8444,
+    0x51a897aa, 0x166a6645, 0xf344bd1a, 0xa8883963, 0x45151796, 0x73ad0f50, 0x33730ed4, 0xa2a9f689,
+    0x51b16b55, 0x6540807c, 0x1c83a057, 0x765b0827, 0xeaee63a9, 0x3e1d7eff, 0xff323ffd, 0xae26430a,
+    0x4de17868, 0x94157781, 0x215fa00d, 0xa4fba247, 0x9155a1d3, 0x5d08da69, 0x56c8ed76, 0x6a2acf05,
+    0xd05cada9, 0x0406d2a4, 0xed1573c5, 0x677b6d05, 0x2528cf16, 0x60170a2b, 0x3f8e57df, 0x7682815c,
+    0x4d01b6ba, 0xff8d9280, 0x3b91d425, 0x80c2db61, 0x004141ef, 0x5c7a0692, 0xff2d7658, 0x4ba01794,
+    0xd4643d7c, 0x32330d73, 0x9880b854, 0xd84aaad6, 0x91b50a65, 0xe4b616ee, 0xc2e650de, 0xab172b4f,
+    0x0238e182, 0xeeea6850, 0x59d59eb8, 0xe291b88e, 0xdd0e107c, 0xf9fb8eb9, 0x4352251a, 0xe1bbb183,
+    0x7baf6d52, 0xd143994c, 0x3128ae11, 0xe49a6299, 0xfa2677ef, 0x1bfa0517, 0xd25d0ac4, 0xef8eb980,
+    0x633510e2, 0x6fff909c, 0x4fffd79d, 0xbb03afee, 0x5860e664, 0x699c22a2, 0xb5edea0a, 0xa60eeb5d,
+    0x402cc0c4, 0x1a4a4e34, 0xf26a65f6, 0x98efa513, 0xe6700170, 0x08a0e44e, 0x015466ae, 0xa1b4ffc6,
+    0xa1988a9c, 0xfa081d65, 0x0610dcb9, 0x8283fd7c, 0x66102b75, 0xa2d8b8a1, 0x170e8b16, 0x54bb7b24,
+    0xc48fd692, 0x09cb5e25, 0x9013f04e, 0xc33bd886, 0x63e1ce1a, 0x36f8e241, 0x7246ac53, 0x44ea96b3,
+    0x088fd93e, 0x45fbd7b8, 0xfe76698f, 0xbc0ea235, 0x475f7c31, 0xb7e8c7a0, 0xe1a26673, 0x1d67399b,
+    0x12d51b27, 0x7eaaf507, 0xc5b76f65, 0x46872fd2, 0x2b27a7d2, 0x26db79a0, 0xe6356535, 0x844036b2,
+    0x3d7d6281, 0x449ddea6, 0x261623e5, 0x630a6551, 0xc1004c3e, 0x23ee12d6, 0xff0fb979, 0xc9bbc0f2,
+    0xfd4cb04a, 0xce2d007f, 0xc294339f, 0x65760596, 0x25ee8812, 0xa5360033, 0xee0b718e, 0x8c92c852,
+    0x49b34e84, 0x0e740f6c, 0x8ef4c4a5, 0xc17b0d31, 0x0408d152, 0x69c9a03e, 0xdf26bd9f, 0x4750ef50,
+    0x09007527, 0xf3531a21, 0x3f593bff, 0x22167f2a, 0xdbd7e3d1, 0x9a9a2460, 0x92fb68cc, 0xa314739c,
+    0xb67ee60a, 0x2eac64ed, 0xa7f2d0c6, 0xeb30dd17, 0x55cf72e3, 0x45b01568, 0xdcb4ed56, 0x6d0b6001,
+    0x9e0e0b6a, 0xf31d1103, 0x071c6354, 0x3bb9e703, 0xb8dfad47, 0x532917b1, 0xcfc3ee51, 0x3c1326cc,
+    0x5c2b09b6, 0xfc4afff0, 0x7645ba16, 0xbb32c13d, 0x9dc1ad3a, 0xe3c13731, 0x612954ed, 0x91d59a3f,
+    0x6e2090a7, 0xc42fed79, 0xa10c873c, 0x78e0d568, 0x4321b0fc, 0x84614f50, 0xc6594ba1, 0x1bee3383,
+    0xd78cb537, 0xd52947f3, 0x09cccb30, 0xe839ca28, 0x10d758e9, 0xfff71d81, 0x9c7e5f13, 0x006d7e26,
+    0x1cb25775, 0xc1ac7cd8, 0x5dcc057d, 0x0601c695, 0xc8926f79, 0x6bc96fe2, 0xf34a3091, 0x3835742e,
+    0x286e8ed4, 0x8a6c72e9, 0x1a85a42e, 0x9a598de3, 0x5308ee79, 0xca6be638, 0xfae0d614, 0x739926c6,
+    0x8007c791, 0xd9e77047, 0x011946a4, 0xc973ea38, 0x392ee501, 0x42c662a2, 0x21801281, 0x6891049a,
+    0x6a1c5fff, 0x397698b2, 0x9d175488, 0x17b55fd2, 0x68e239de, 0x549da09b, 0x7836c088, 0x9d3b3e71,
+    0x21838799, 0xad8ed9f5, 0x2497628d, 0xc5dd7534, 0xe0ddc30d, 0x3a4ac547, 0xbef87e59, 0x5dd2f4cf,
+    0x42caa32d, 0xda845901, 0x0c2d10e2, 0x9d137c7c, 0xa45712b9, 0x8fc8f66e, 0xf0c730eb, 0x6ede2d6d,
+    0xe3072336, 0x7c87c2a6, 0x6bcffc93, 0x73d0d517, 0xf743af6a, 0xc3de4800, 0xa98d2fa0, 0xad07b351,
+    0x0ba23649, 0xadbf659f, 0xa075ddde, 0xefea7b2a, 0x8efc9c67, 0x7a76ff10, 0x50d24e3e, 0x7fdefbf7,
+    0xa9afc288, 0x52685604, 0x451a54e1, 0x8a41a94d, 0x15dbc37b, 0xe0c8b8ac, 0x88e06dd4, 0x5c549e76,
+    0x1f2f0d50, 0xcb519709, 0xc3e0804a, 0x4cc81e16, 0xf7f5c089, 0x795105f3, 0xae11c296, 0xad341b58,
+    0x94784f5e, 0x0e707702, 0xf962550f, 0xb40e7d88, 0xd345f171, 0xdc0948a1, 0x51b5ee36, 0xeec6136e,
+    0xbef51d21, 0x61c538a0, 0xdecd70a4, 0x7e197a55, 0x23ac05ad, 0x826fc49b, 0x1e60eae2, 0x8d45cd2d,
+    0x27bc6abf, 0x7e80b0c2, 0x07a52eec, 0x1f8c3b3a, 0x46a8c994, 0x776b5026, 0x48d28f9c, 0xe2a45748,
+    0x2e1e866c, 0x8e16aad4, 0x2f1b2d77, 0xb4ea1eb0, 0xf3397c90, 0xf4c44279, 0x7ddc1911, 0x009000df,
+    0x6dbb40a9, 0xdc3ade90, 0x50f50c35, 0x3bc2aa38, 0x765a004e, 0x4e20293e, 0x54bcfd97, 0xa9fceaa3,
+    0x262e247a, 0x1e176c02, 0xdff65af2, 0xe488b51b, 0x34bfd42b, 0xce8d6cbc, 0xfebab305, 0x9f38bb62,
+    0x79e2eaf0, 0xe5e8fc36, 0x0a6c5b72, 0x06ac545a, 0x5a7929f4, 0x8780c3f5, 0x4179cee9, 0x139b4f69,
+    0x812b224d, 0xca1cd444, 0x7971e15e, 0x7c08e13e, 0xaebf73e3, 0xf373f116, 0xe52c27cf, 0x33954b7f,
+    0xec170118, 0xf101a583, 0xd5e78657, 0x600ff1e0, 0xdbb3b6a0, 0xb0aa4dfc, 0x2e0b11dc, 0xb6ad004b,
+    0xddc83008, 0x85f60b2f, 0x134d5ae7, 0x57f157bf, 0x6558df2c, 0xd7774547, 0x1ceccd93, 0xc98f9415,
+    0x0852ec01, 0x2c8b5399, 0x226c118c, 0xd191c0d4, 0x3ffe853c, 0x5ba5b993, 0x79995181, 0x7a44f05c,
+    0x56b18d36, 0xb6789a62, 0x8a075a3a, 0x49ee11ac, 0xf08a42d2, 0x3f5a120d, 0xe90294fc, 0x188a1c70,
+    0x57d24da8, 0xd7545e1e, 0x3dd02ac8, 0x8d0292d3, 0x14174bfb, 0x84abe4ef, 0x9083e6a7, 0x049f1f94,
+    0x4aa6b2f3, 0x71ff3bcc, 0xf9c281d6, 0x785a024f, 0xd68ec15c, 0x78be6b8a, 0x53b92d3b, 0x27902f40,
+    0x86a352d0, 0x881d3ed4, 0x1751bf85, 0xf0545ae1, 0xf9d7b4a0, 0x9e2c41d6, 0x059886ad, 0x272fdb28,
+    0xa84fc2de, 0x4458df65, 0xba5a2c88, 0x47c82931, 0xe1cec46d, 0x668f8b79, 0x338f98ae, 0xcd0dd0eb,
+    0xd1e9a3e4, 0x407948d5, 0x34ec1a58, 0xdeb1916c, 0xeadfdece, 0x6afb2989, 0xe128c656, 0x8588164e,
+    0x3e0c4a72, 0x8826d526, 0xdae1a310, 0x79de8deb, 0x68acbcc3, 0x7737b74b, 0xf3458986, 0x8c710b43,
+    0x57c50a70, 0x10268f5a, 0xe1235de3, 0xc7be7bbb, 0x34746883, 0xf6618cc9, 0xe168560a, 0x18862ce5,
+    0x074f97fe, 0x7c8c8212, 0x26542345, 0x44df818f, 0x774e29c5, 0xf0ef750c, 0x678ac4cb, 0x8283b0fa,
+    0x347367b3, 0x18b179b1, 0x6adf9887, 0x21cb0466, 0x7d100f42, 0x19faf081, 0x9a4cf93b, 0x7dbf03e1,
+    0xf6112689, 0x984e57fb, 0x14d067d2, 0x06a8f685, 0xfaa1579b, 0x5719394e, 0x2d871668, 0xbaa563a9,
+    0x24865e38, 0x2838a838, 0x2d6bf870, 0x58f5a09a, 0x86bcd560, 0x421ee7d6, 0x1a12437d, 0xc4ebb293,
+    0x687a6f3d, 0x050a0f60, 0xd137d4ca, 0xdafbd7c7, 0xa9f50d2f, 0x2600962f, 0x6835cb48, 0x613412d1,
+    0x63466d65, 0xdb5a4dd3, 0xa90acabc, 0xf8b377a8, 0x36d14d39, 0x387547af, 0xb400f519, 0xae188fe7,
+    0x91349466, 0x9f6169c1, 0x4dea048f, 0x8b4f1851, 0xfa5a51a3, 0x7abb132c, 0x4f5e92f7, 0x9340d7b4,
+    0xb13addf1, 0x6c2c1faf, 0xfe759cff, 0xe81a7833, 0x98d95636, 0xc25e742b, 0xf4e92a1d, 0x7a97c80e,
+    0xb14e392a, 0x9592fd7f, 0x93549b8b, 0xe78e3b4a, 0xeb8a87f7, 0x35b9d4d3, 0x53d2ecfb, 0x5401120a,
+    0xce85454c, 0xe0cbe30a, 0xf2d08310, 0xc0e752fa, 0xe4c00009, 0x4cc58d2d, 0x1b0c76aa, 0xc87124cb,
+    0x16d7537c, 0xbcd70fa0, 0x2f9a7654, 0x49416b04, 0xe1a8373b, 0xfc7cad6b, 0xf89170df, 0x75dc4a8a,
+    0x7bff5f0b, 0x6c6d6345, 0xd29109ef, 0x0922f9a3, 0x418c1f74, 0x6d89802f, 0x78844db2, 0x8e4979c8,
+    0x00000000,
+    0x7076d054, 0x588ab831, 0xbe66bc08, 0xdf461e98, 0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c,
+    0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000005733746539975178779027052238\
+                          25521735199141247292070280934397209846730719022121202017504638277531421638656 */
+  { 0x00000000,
+    0xccd53b73, 0x2e024417, 0xdb38079a, 0xd7faa818, 0x60d2e5e2, 0x09f230a5, 0x9c2d1c2b, 0x6c39ea5d,
+    0x4bb1a3dd, 0x470dbf04, 0xf9f01a87, 0x548b6195, 0xf5884326, 0xc9eb7d6a, 0xf9d1c9cb, 0x4f56d6cf,
+    0x3b50d5a2, 0x64d00e43, 0xa1ba639a, 0x4a3c5d17, 0xe2726182, 0x54e421f2, 0x5f235318, 0x7657e9bc,
+    0x1db154e2, 0x47cb970b, 0xc6501cb2, 0xff51d7a6, 0xf4dc72b7, 0xae89b0d9, 0x88b8d94a, 0x9da14594,
+    0xefbfb45e, 0x1aefd667, 0x087845d2, 0x23409319, 0xd63d1da4, 0x3c1e68f5, 0x38a0d767, 0xa75bdb4e,
+    0xb1573e0c, 0x7edecad3, 0x838b0026, 0xea04f037, 0x5fb0a4ed, 0x594eaeac, 0xdf00ceae, 0x6fc3c5da,
+    0x6c34d222, 0x1e5a1cc3, 0x2483195e, 0xa0aa2810, 0x508dcdff, 0x591804de, 0x80dff69c, 0xc1e3087c,
+    0x5b1879b3, 0xd6db52b6, 0x788759be, 0xe5139ad0, 0x713e9ce5, 0x1e28f645, 0xab40edac, 0x81e6457d,
+    0x8d597f2e, 0xc1e74704, 0x9224cf05, 0xfc33272e, 0xd31b18f8, 0xb8f7eb7c, 0x4ae6e562, 0xce56cab6,
+    0xf564a215, 0x95a33d33, 0x5d255c99, 0xa4b33f06, 0xa8bb5a7b, 0xd6d5e889, 0xd2574c68, 0xc7634229,
+    0xc7ce6a28, 0xb527a840, 0xb0fd1f9d, 0x7fc7e6bc, 0x1340270f, 0x31ae0de0, 0x64226eec, 0x5edfc4f3,
+    0x99991526, 0xacdf280c, 0xbe18d503, 0x623f101f, 0x85e3c18b, 0x6b83b35d, 0xd67c5375, 0x1a3da790,
+    0x0cbd644e, 0x1e188284, 0x6b6a25a0, 0xe2c2d4ae, 0xcf12f306, 0xa6875a12, 0x09e5356b, 0x7b9b8ecd,
+    0xe88c7968, 0x4d8daeba, 0x8c80b741, 0x2260e5df, 0xbf47a148, 0x1d6d78c5, 0x891a52a3, 0xcb64a110,
+    0xf3f2279a, 0x23434d38, 0x570d5fc1, 0x69ad9e0a, 0x3027b756, 0x407c1e5c, 0x9eeff963, 0xaa783e22,
+    0x0ba04e28, 0xe26eb78b, 0x6c44ea8e, 0x0aa71daf, 0xbc0c0591, 0xd453de63, 0x350734d1, 0x251a0538,
+    0x1a202bac, 0xbdcda522, 0xd5b99fdc, 0x9430b079, 0x1eff63b1, 0xe3652a44, 0x888e9195, 0x0714079d,
+    0x66249841, 0x0e4ba42c, 0xf8f7a56b, 0x65eaee2f, 0xcec1367c, 0xf4d3f0bf, 0x7d84d887, 0x1336c00a,
+    0x912ece86, 0x400bd836, 0xa2e05430, 0x2d9a3acb, 0x98816846, 0x580a9057, 0x09da07a4, 0x11351cf4,
+    0x54b3b109, 0x7f3f8626, 0xf8df0741, 0x5278d71f, 0xafc46da1, 0x27710b4a, 0xef62a7bf, 0x792d34da,
+    0x5ca285e4, 0x56c174dc, 0x76910fb1, 0x6355792c, 0x72ddfc5d, 0xc0733aad, 0x7e37f071, 0xdf04da85,
+    0xbc879778, 0x0d59f8b7, 0x56c14d29, 0x9aec649e, 0x77017c70, 0xcc467bf8, 0x30fcb61e, 0x435ff203,
+    0x56be262d, 0x3fbfe0e9, 0xa99980b4, 0x5a4cfbd6, 0xa3b20fe2, 0xc9ae118d, 0x75722d07, 0x93d45dd6,
+    0x6e000583, 0xb7464772, 0xfeae803f, 0x246521ba, 0x794f4eb4, 0xb3efedc1, 0x0aead342, 0xfd6da22e,
+    0x8dd85eda, 0x47e27c85, 0x18fcc6c8, 0xee4af0ec, 0x573423fe, 0x2c8fec91, 0x47ca0b3f, 0xb8029674,
+    0x72f57dc5, 0x78f22c65, 0xac03dce9, 0x09e41628, 0xe948255b, 0xf9bb4fca, 0x95ddd033, 0x50f44f4a,
+    0x33da7123, 0x4a57d083, 0x2070e540, 0x850ed6a3, 0xc09f2bde, 0x713bfddd, 0x2f9ace0b, 0x9731630c,
+    0xad6e0830, 0x3482d9c5, 0x87e952be, 0xbd4ac4e1, 0x44eb4754, 0x5c04d2f7, 0xd86ff8bd, 0xc67f54e6,
+    0xf9ae02e4, 0x65426868, 0xc4cc58db, 0xcf67022d, 0xdf51bf8a, 0x02afa5ad, 0x4f92b243, 0xa6874b70,
+    0xa7940b56, 0x3ac23628, 0x27f1ba5d, 0x135fe7ca, 0x7b9cfe44, 0x49fb4245, 0x6af8ec8a, 0x8644ec20,
+    0x432e04df, 0xadc8b3dc, 0x57d63c44, 0x15340f04, 0x858a64c4, 0x7b1095d0, 0x1f0dd85a, 0x92ea0822,
+    0x6f736bfc, 0x0c674c20, 0x87d47194, 0x9bca21e9, 0xf9923f3f, 0xb934a55f, 0xd9a801de, 0xa39a6355,
+    0xf0dae332, 0x28b65597, 0xdc0243a9, 0x8c5ca936, 0x10b5405f, 0x20cf3535, 0x30ea42d0, 0x4fb04ebb,
+    0x4fffab45, 0xde7612a2, 0x74f24776, 0x689909d8, 0x0364cb33, 0x008e1a4a, 0x24ee9c32, 0x98fecd1a,
+    0x981b3fd0, 0x247cdaef, 0xf3304517, 0x5d8d3316, 0x602a742a, 0x3bc876b1, 0xc9a22a4e, 0x0f571273,
+    0x5088f5c5, 0x0338d6cc, 0xf8c41b9a, 0x72181f8b, 0x1ae038c7, 0x7ada6de4, 0xe43f435a, 0xd86c9ddc,
+    0x4830218b, 0xedb44b48, 0xa58c3cc4, 0xae778df4, 0x9d4287cb, 0x03ad37d7, 0x53d20f72, 0xcb24463e,
+    0x4640236f, 0xf9e1c615, 0x6c2aa8f2, 0x20625593, 0x4db5838a, 0xab2ebde2, 0x95f9e435, 0xf517ef77,
+    0x1d227df1, 0x11bbf592, 0x27016f31, 0x9a818a1c, 0xcff98faa, 0xf61df133, 0xa26d309c, 0x7cb0cefd,
+    0xf5c98319, 0x51af666f, 0x45ada2f5, 0x004437a4, 0x8778402f, 0x69f2e7b7, 0x6c19e300, 0xd59f19eb,
+    0xb4dfd279, 0xf97f081e, 0x3e9b5af7, 0x025b9c02, 0x93e4dd3a, 0x7affd77a, 0xbd539f41, 0xea2c2fb0,
+    0x3c37e324, 0x4ef563de, 0xdeba9215, 0x581f656d, 0xf71c6ca1, 0xf1109a56, 0x3e868f51, 0xcc401575,
+    0x6a675b00, 0x2f9ce73c, 0xbfcaaebc, 0x0c3e479b, 0x8f39f253, 0xcbe64470, 0x9dd52be0, 0x5b5500d3,
+    0x94351634, 0x6874758a, 0x33d9fbeb, 0xa93c678c, 0x3cd68883, 0x74475610, 0xb9b7f8de, 0x3c2af030,
+    0xda632771, 0xba5e9961, 0xcaf60a17, 0xe3f711b7, 0xae90ccf3, 0x45cb1bde, 0xc07125e0, 0xd673eb4e,
+    0xdd1ab06a, 0x31b1eedc, 0xc2e5eb5a, 0x594a1398, 0x39c2c23b, 0x75c1d2a8, 0x3f9101e2, 0xaac5c9f6,
+    0x238b5dca, 0x6cccebf6, 0xe7e316c7, 0x4bb46d40, 0x912fb5f4, 0xf0bd9c44, 0x61761f14, 0xeeed0f50,
+    0x28d6f39d, 0xd6df99fa, 0x4be45149, 0x8f1eb472, 0xfadf7da6, 0x74fd7a88, 0xa8dbab93, 0xf52ab23c,
+    0x26e3bd2e, 0x1829c9bc, 0x4c1ac9a2, 0xf4bdbd39, 0x685e4882, 0x410a370d, 0x4fac63f6, 0x2df9f6f0,
+    0x058d407f, 0xacb79527, 0xc407bf38, 0x6716f8c8, 0xced57d5a, 0x5f4c8caf, 0x4af27c45, 0x44a885c2,
+    0xc590be0e, 0x407997e5, 0xe6f3b3eb, 0xd3f15518, 0x9001ae37, 0x4124f846, 0x8425ee54, 0x468be36f,
+    0x7fc71ce6, 0x1eaac98f, 0x1301b7a9, 0x0e9f747b, 0x65e70e23, 0x52692fba, 0xf7816d23, 0x9cf9ac67,
+    0xacafddfa, 0x1bfc0fe4, 0x0cd0f088, 0xb01dba87, 0x91025cf6, 0x7db7d11c, 0xfaa349e4, 0x1a07bdf7,
+    0x3f721917, 0xaabfaf68, 0x4998d9fa, 0x6d0aad3f, 0x9bf0383e, 0xf5fb405e, 0x8b97b8af, 0xae5d19fc,
+    0x7d94c353, 0xa353b9ae, 0x4deb791e, 0xfc780b3a, 0x3a58df9f, 0x57d00817, 0xf9388249, 0xa6d5e774,
+    0x24dc1833, 0x2cd8c7fc, 0xe85ec2f2, 0xff0c5dc2, 0x9605320f, 0xfefe6ca5, 0x8395b10b, 0x394b8abd,
+    0x2f4d3f75, 0x3f8d936d, 0x0dca7068, 0x922d8bbc, 0x23538b2f, 0x0bad9882, 0xf3936036, 0x5934844b,
+    0xf581e6f0, 0x92906551, 0x6726f810, 0xa820744c, 0x4a6dd634, 0xa15f9746, 0xf8eae0c5, 0x75514cb2,
+    0xd888dbf7, 0x304b7fa5, 0x44619657, 0x0e738ee2, 0x09dd8a2c, 0xe02ac036, 0x0a87618b, 0x23c6eac1,
+    0x89318997, 0x1c63921a, 0xa7c9aa64, 0x037649ce, 0x25c46a56, 0x5c50ca54, 0xc2aacbfe, 0x374051d3,
+    0x3b1d4d33, 0x1bbddc1b, 0x71b004e7, 0x87cd10a0, 0x596ef7de, 0xa95abc95, 0xbf140fea, 0x13e8288a,
+    0x11c916c7, 0xe934093d, 0xa302d4c4, 0x952ce8b0, 0x4016983b, 0x7b002b11, 0x40d2de4f, 0x050530d9,
+    0x76215243, 0xde04f5d4, 0xee6e08ee, 0x29f0568e, 0x4d2cf4d4, 0x391a5275, 0x33d8c574, 0x91cde648,
+    0xce61ca2a, 0x283777e8, 0x9dce89b1, 0xe0820e76, 0xe7cf9c37, 0x4c9540a1, 0x3e57f575, 0x3c022d3b,
+    0xd3d9b92e, 0x6a754b09, 0xdf798aa8, 0x4fb37f67, 0x87e90cf6, 0xfe4f5ec8, 0x6b1fc411, 0x004a1060,
+    0xc77732cb, 0x7864c4c8, 0x15669401, 0x2d08bbaf, 0x4cbcc8e7, 0xaf16b5e6, 0x812f731c, 0x478cd55e,
+    0xf8a8a1d0, 0x647da7c1, 0x6ed82b66, 0x63b3e6fb, 0x5e14b411, 0x600a2f5a, 0x2be8675a, 0x7e342c08,
+    0x5be85370, 0x30b37437, 0x26d1d728, 0xcb9ff145, 0x28bec907, 0xb629db16, 0x2b17e41e, 0x19d6af90,
+    0x0d158e90, 0xfb1a3764, 0xbca209ce, 0xc322f5b0, 0xdbbd2fd5, 0x30b44b35, 0x14d85a8b, 0x803baa4c,
+    0xc5a059f1, 0xde3d1b0d, 0x0554d344, 0x0ac58383, 0x378af87f, 0xbd478ad3, 0xe0f3565d, 0x3a96d577,
+    0x24d92065, 0xeca2a2e6, 0xb872260f, 0x02c54bc6, 0x421302a9, 0x457d3a93, 0xb319ebdf, 0x14d259b2,
+    0x7fe313ea, 0xc1201a9e, 0xd2abf54d, 0x3fd2a291, 0xabf4ac8e, 0x6c82f00b, 0x3ea17c0b, 0x7671aef0,
+    0xc32667a0, 0x3d2fb8fb, 0x30bca6dd, 0xc2ddeefb, 0x294c4f78, 0x198c31cc, 0xf7f42fcc, 0x8a7c882e,
+    0x0eef0ed8, 0xff23fbb4, 0x8faa9e17, 0x15d83410, 0xff2e7344, 0x84e64f26, 0x534634e6, 0x2888e7fa,
+    0x998df18f, 0x88c4ef81, 0x69dfac61, 0x3a464dd2, 0x51c44e7d, 0xc62aba58, 0x28618de8, 0x4a687888,
+    0xd7a07ad3, 0x8388e88c, 0x73f37529, 0xecdb3500, 0x2612265e, 0x35eb46bf, 0xf9610098, 0xe7a06aa2,
+    0xff0137c4, 0xe5defb03, 0x4f16122c, 0x84e550f4, 0x865d00fa, 0xc045c521, 0xeaa93041, 0xf0450c17,
+    0x6a8f3d44, 0x8b8df248, 0x95e910ba, 0x8965fc2b, 0xf0f6c004, 0xe24c57be, 0xd0491b29, 0x9e580462,
+    0xb5ec2ccc, 0xd0b8e6c3, 0xbf1b2606, 0x9434bea6, 0x4d45fea4, 0x652bc35b, 0xb5d519af, 0xab3ff6d8,
+    0x1c5db498, 0x008e6b3d, 0x8379198d, 0x71b9a48b, 0x9f5850d1, 0xc22c8fd0, 0x9d8f8b25, 0x52813d78,
+    0x5c30a987, 0x64cc67b6, 0x896eb243, 0x8ff8ef22, 0xd685329f, 0xd9254b23, 0xa2a768d1, 0x3aef983c,
+    0x288c1399, 0x8de1fd44, 0x21666b30, 0x9a488ac5, 0xeb1a8dbe, 0xb61331e5, 0xd5ae8d3c, 0x6732f2be,
+    0xa958ae33, 0xa49698ac, 0xceb7ac85, 0xac25d7bc, 0x48d42662, 0xfa91ad26, 0x35740767, 0x0a766fec,
+    0xa2dc90e9, 0x11bcc328, 0x09bce882, 0x3b2c74c6, 0x57adb447, 0x50a12577, 0x3c3de480, 0x36599bae,
+    0x47655f4b, 0xf76a458e, 0xb25cb4a0, 0x890b97f6, 0x2f27d15f, 0x0cfadae8, 0xd3f9560d, 0xc59a04fe,
+    0x2b2e7a60, 0xfadb4ea4, 0xf149005e, 0x5f6ff808, 0x24bfa77e, 0x791bc9fc, 0xbc156b61, 0x818a1eb1,
+    0xa33bf70a, 0xbf36424e, 0x4a8929d8, 0x747b03fc, 0xd0851c0e, 0xbb8aee57, 0x8ea46876, 0x076e5350,
+    0xfff36eb3, 0x147745bd, 0x0fd14b36, 0x5ae3588e, 0xc91ab5bc, 0xad173219, 0x15f1cc22, 0x00c33da0,
+    0x1f196b00, 0x2098f347, 0x8a73f038, 0x67f0c46b, 0x292a15a8, 0x17550637, 0xb3f26959, 0x70a38883,
+    0xb1033c9d, 0xb3d601b0, 0x8b70a138, 0x591b4f35, 0x05ccb2ee, 0x72d891c3, 0xb4edf549, 0x557bdc5d,
+    0x89397820, 0xd6991dee, 0xa5a3e2ea, 0x02b51f59, 0x901df4be, 0xeaee2058, 0x29f7db60, 0x783f2b65,
+    0x5e73fc3f, 0x3f62e4dd, 0xfb6dcd6c, 0xc457aa58, 0x759a3c05, 0x6afcf7fb, 0xc5598ac2, 0xb91f607b,
+    0x76de71b5, 0x821b041f, 0x3baa3a9e, 0xeca3a3ee, 0x27bd37f2, 0x141caa23, 0x637799d6, 0x0d47f23d,
+    0x65cd8754, 0x645b4e99, 0xea9d8094, 0xb4aa95fb, 0x1e64b164, 0xac7754b0, 0x61e62ec7, 0x3312d0d0,
+    0x083e0090, 0x8dcdad80, 0x3fc56456, 0x6a07c00a, 0x0ebae543, 0x468d5b97, 0x59b4ce60, 0xcb517f97,
+    0x5ead1e50, 0x8860e048, 0xbb829c9d, 0x49399185, 0x634c6a3e, 0x251ae122, 0xf885c3ef, 0xf9d465e9,
+    0x7bdd5535, 0xd65b555c, 0x7cd8a112, 0xccdf7be6, 0x5b603cb9, 0xd4e583e5, 0x22c18c4c, 0x1073ac4d,
+    0xad5a999b, 0xfd7364e4, 0x8ea52879, 0xb0e1b646, 0x203cf7ce, 0x903faaa3, 0x8572e1b4, 0x21455ba5,
+    0x85520487, 0x82ed3615, 0xd196a7cf, 0x7f40775a, 0x35696696, 0x4df9b5c1, 0x4377fc50, 0xd55db1ca,
+    0xfae72b78, 0x6d42b575, 0xc1f2b17c, 0x9ba76bed, 0x5f29905b, 0xe20cbd4e, 0x503935e1, 0x723e5756,
+    0xfecb9abb, 0x7ae7b789, 0x294fc568, 0x89be5a51, 0x5ee1d16d, 0x8c55e667, 0xd77ee886, 0xc8d66c1f,
+    0x792b9688, 0xaeb1f3c2, 0xc22e6e37, 0x8aabbad9, 0x23ba98ae, 0xa244ef3c, 0x8c9d3581, 0x94e931f2,
+    0x77efb3a7, 0x2e043c71, 0x4994542e, 0x4393edc9, 0xa4f682c4, 0xd0c71b79, 0x3db9ae87, 0x0239242c,
+    0x7256ef4f, 0x0db36462, 0x9e88cd1b, 0x934a4335, 0x3bd4bba6, 0xec102421, 0x8aec9884, 0x2b943a31,
+    0xeccf048a, 0x488d4ba3, 0x608e9397, 0x05f330c0, 0x35a97b49, 0x0964ff5a, 0x60bdab28, 0x35a2c4f3,
+    0x747bce16, 0xd1d9aa50, 0xcf7a742c, 0x9b29b422, 0x8f193abe, 0xcb3b872b, 0xdcb6ea09, 0x54b15197,
+    0x2af1786b, 0x3b008346, 0x24c8faca, 0xbc925a41, 0x044c3747, 0x34ef2f54, 0x57ba9803, 0x1095822b,
+    0x89f88e45, 0xdc56adf3, 0x8fec85ee, 0x60d450ca, 0x307ef522, 0x9a99c34d, 0x22010eac, 0xf46f91db,
+    0xbcbda372, 0xbbeef5d2, 0x0f8130f7, 0xe60390e9, 0xaed4a247, 0xdeb2b417, 0x3e67a7f7, 0x26d82429,
+    0x4a116648, 0x093ac9ec, 0xde3be710, 0xafcdfdc0, 0x3225a427, 0xdb3ecd58, 0x79ce89fb, 0xae667af3,
+    0xa51c4296, 0x41c4ffd4, 0x54362c56, 0xe818ac25, 0xfcab4212, 0x460eb169, 0xc2e0be2e, 0xc1d55f12,
+    0xe5fd2877, 0xfc2477d5, 0xb6149f9d, 0xaedee3d8, 0x70fec91f, 0x9983534b, 0x81b617c2, 0x311a2380,
+    0x15c6fe6d, 0x96271d73, 0x410bc57b, 0x024267c0, 0xa1f7d973, 0x2247154c, 0x7c9a314b, 0x4745822d,
+    0xbe16e92d, 0x3112af56, 0xad56a6e6, 0x5fbe7ae7, 0x3861a7ee, 0xce7426a2, 0xb5fd2780, 0xdfaddd9c,
+    0xeb12ba8c, 0x8bfb8dd1, 0xe58d048f, 0x9876a415, 0x21422e09, 0x53c71b2a, 0xf5be6ade, 0x7ad6feb8,
+    0x9e8caf4c, 0xae675073, 0xb39477e8, 0x4486dc2a, 0x0a76b4bf, 0xb1323450, 0x624c4e48, 0x4b9466ac,
+    0x57bd7603, 0x9994d64c, 0xd18721f0, 0xf235f300, 0x204179f0, 0xc1d39bf4, 0x679d40c0, 0x12a8ce78,
+    0x419a150b, 0xb61a6825, 0x9aef3345, 0xec00cc34, 0x015d418b, 0x87fa61b3, 0x654ad39d, 0x66a4f59b,
+    0x58a1d807, 0x7a35ab7f, 0xccb1a271, 0x50e22947, 0x5fa02a7e, 0xdad8b8bf, 0xcf5cff58, 0x7e084cf2,
+    0xa2d2a2ca, 0x46d40310, 0xd64a631e, 0xeedcdaf9, 0x9c49ca6b, 0xa47ef2b5, 0xf9818669, 0xcf8457b3,
+    0x64e6813c, 0x9f69adfb, 0x447fa3aa, 0xa89b0d1f, 0x1dd27a96, 0x67ea290a, 0xe2574a39, 0xde0f9413,
+    0xfe1ef8fb, 0x1d824ef6, 0xbdc96b26, 0xddb08f5b, 0xf3bad0f6, 0x0ea6f9f0, 0x601caf97, 0x998e61dd,
+    0x8f354e3c, 0xfb5083ef, 0x211cb91f, 0x0475b4f6, 0x5b81786d, 0x9172d2b5, 0x6a040811, 0x6e8fc52f,
+    0x6598d5cd, 0x7a9a4ef1, 0x53a13e24, 0xa194a64e, 0x99f9fda6, 0x5754f2ff, 0xedcea513, 0xdbba32a0,
+    0x29fde429, 0x5b5d1634, 0x4f56a661, 0xe1a449d1, 0xe9e8690b, 0x0f2a28ca, 0x47c4e824, 0x49d25797,
+    0x8ac46fd7, 0x88cb82b8, 0x336a91b3, 0xeff41e72, 0x467ffe11, 0x1be681bf, 0x5fede1f7, 0xbedac69d,
+    0x00000000,
+    0xb83b6829, 0x2c455c18, 0x5f335e04, 0xefa30f4c, 0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496,
+    0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000002866873269987589389513526119\
+                          12760867599570623646035140467198604923365359511060601008752319138765710819328 */
+  { 0x00000000,
+    0x8509496e, 0x08d6f5b9, 0x189b81b9, 0x3dc1e212, 0xf943f8f8, 0x93be7c23, 0x7879b169, 0x9f3e8566,
+    0x021ace81, 0x3775c111, 0x74fa6e91, 0x0ab4f061, 0x611b0d2a, 0x5b11086d, 0x02731ebd, 0x43c6e9db,
+    0x5ab0ea62, 0x29d99c38, 0xa72039a7, 0x02a33312, 0x77ab337a, 0x058012fc, 0xebc860fd, 0x11af005b,
+    0xfe775be9, 0xd1eea9de, 0x70693bae, 0x0a81a885, 0xb64608ac, 0xfbfaaab3, 0xbbb359ee, 0xcb07a02d,
+    0xe0f8c8c1, 0x16f2f494, 0xda459d58, 0xf271935e, 0x02e53b15, 0x7b10b96a, 0x85d84bc5, 0x94a8b934,
+    0x03b5c3b9, 0xc765137a, 0x7633b76d, 0xfce2377d, 0x16496fa1, 0x0f6f0327, 0x5039d2b5, 0xcc5a74dd,
+    0xfc1decd9, 0xd69110f7, 0xd3601358, 0x1e0fc771, 0x4a9c2dbf, 0x11630bdd, 0x9c4decde, 0x86b7ae01,
+    0xf15977d6, 0xadc2671d, 0xe8a71f3d, 0x135e3825, 0xc9fc8384, 0xa90fbda1, 0xd97dc4af, 0x74c2d302,
+    0x546c658a, 0x92c54090, 0x520807d4, 0x99beceb1, 0x01905702, 0x73c8432f, 0x747a3a04, 0x6c6a0d28,
+    0x8e88407e, 0xea178bc5, 0xc5e40232, 0xcb78c962, 0x8835c60c, 0x212af061, 0x6ab48737, 0x0c609db4,
+    0x83d80c21, 0x53ea06d0, 0x46ddbe0e, 0xf37d83f7, 0xe8b24866, 0x8ea9a8b3, 0x134ed8dd, 0x8d2df667,
+    0x74991b98, 0x32f4c065, 0x8b3ede75, 0xd08ebf7b, 0x253c12b5, 0xb01c089c, 0xd843adfa, 0x0aff9036,
+    0x51bb27c1, 0x6ed4d71b, 0x895c32f5, 0xfd267999, 0xcfc6aefd, 0x7ea9c3ce, 0x019c2f19, 0x82566ee9,
+    0xb3aefc03, 0x1df0ec2c, 0xab87a84d, 0xd7fb5b10, 0xbe8dfdd4, 0x82db8837, 0x06f8bfdd, 0x1ebc3f95,
+    0x19eee0a8, 0x9fd00918, 0x5b1a2b15, 0x33b2e5d8, 0x21ef77a2, 0x6035b2c5, 0x910eeef7, 0xffe795bd,
+    0x58480a79, 0x3e078b42, 0x21b7f21c, 0xdfb907ba, 0x2a827c05, 0x42d54ff9, 0xa9f7161f, 0x6c046551,
+    0xcb3aed3f, 0xf361cfd4, 0x4dbbbd48, 0x32e75146, 0x606405c6, 0xbcfe3dec, 0xfd431271, 0x2b4136e5,
+    0xd14c57af, 0x73fd72cf, 0xf8b1ce33, 0x66396f64, 0x382c7f63, 0xe559c012, 0xaeaad55c, 0x380a08c1,
+    0x3780bb40, 0xd328bb8a, 0xa0fa77ae, 0x3fb825b6, 0x76f85445, 0x970cff2f, 0x41cbd8ce, 0x57e28b1a,
+    0x38985e0c, 0xbad311b5, 0x24c62f2b, 0x91acc42a, 0x26d30eda, 0x57d051a4, 0x24ffe1f5, 0x46431409,
+    0x7e8b4dc0, 0x44262ade, 0x6f857dd6, 0x199106b0, 0xd67e4b7b, 0xad848d98, 0x825b1b45, 0xf3896815,
+    0x3cc0bc83, 0xd053a0cb, 0x8b5f0288, 0x84d69262, 0x68ccc63d, 0x4ca8c2e7, 0x5277a84b, 0x0bc37b7c,
+    0xe934cc78, 0x606b201f, 0xc0fe2cd0, 0xf554a384, 0xe68b3650, 0xadef3602, 0x275ff436, 0x705ef7a3,
+    0x68ecfa96, 0x02428340, 0x454d1fb7, 0x215dbd1a, 0xd373e8f6, 0x1a46acef, 0xc15f9ab4, 0xf5439505,
+    0x9ee896fe, 0xbeb4b02f, 0x81a2cf18, 0x783ef044, 0x0065b9ec, 0x53350d11, 0x471de758, 0x2d08a24d,
+    0x86137d97, 0xca5d94ab, 0x5dc0c387, 0xe6bd24b6, 0x7adbff2e, 0x79a681bb, 0xc0847d8f, 0xcd514015,
+    0xf59f189e, 0x71bd2824, 0x8c281465, 0x76feea6e, 0x1332c8ed, 0x25c4022b, 0x962371b2, 0x374fd7e8,
+    0x97187f34, 0xea0778b9, 0x5c456f08, 0xaa3b2bdc, 0x37e49410, 0x70dfab4a, 0xd58b4d43, 0xaa53b43d,
+    0x61f48ad5, 0x8b238b70, 0x7cf9f5b6, 0x3b48323d, 0x0e6f06f0, 0xbc46c659, 0xd5dc795b, 0x7c86c966,
+    0xca4003d0, 0x25a1b0e8, 0x30ef9865, 0xea0ebeb2, 0x766fcae7, 0x2a07f44a, 0xd8fa207c, 0x85949860,
+    0x432a6ef1, 0x017e3821, 0xfb42ca01, 0xc9e9ace5, 0xd5922a91, 0xfe26bb12, 0x01c8395e, 0x9cce9353,
+    0x332245a8, 0x644c8815, 0xf603a805, 0x6384b2b5, 0x9067e593, 0x0da26618, 0x22cbdb44, 0x0f37a31a,
+    0x4a7702c5, 0x15721c1e, 0xa57ef5f6, 0x4de20aca, 0xbd7c5a16, 0x6dd5f7f5, 0xf77b0eb6, 0x2901b7ce,
+    0x6bc5b5d0, 0x1015ac9a, 0xf3a2908a, 0x0e8a383b, 0x23f682de, 0x1f8700c5, 0x03318ada, 0x2cd50c23,
+    0x057473f4, 0xcbb62592, 0xfe52bbf4, 0x41412cf6, 0x62814c42, 0x37a28ae3, 0x3bda0261, 0xb4615ac9,
+    0x8ff2a5e5, 0xed787196, 0xd7412082, 0xea7f8bb6, 0x7debcf62, 0xd2e40459, 0x2bffcd12, 0xb559c78e,
+    0x425b9088, 0xb760a1bf, 0xe7c244ea, 0xb9eb7446, 0x21149c41, 0xda6cde48, 0xaa340833, 0x2ce83059,
+    0xbf71455b, 0x7f3832b0, 0xa77b963f, 0x758a0e9d, 0xf8e371dd, 0xf0b0f6a7, 0xf55e1e84, 0xcf8481e3,
+    0xdd35e2e2, 0x6a8ef0d0, 0x4b628588, 0xa9cd90b3, 0x7698d361, 0x426772fa, 0x23a0e4c4, 0x1f444a1f,
+    0x1366bd74, 0x3bb0a918, 0x62b7b680, 0xd3e9407a, 0x6b492383, 0x8c569ac4, 0xa38e5f95, 0x9d2b901f,
+    0x2cd0f755, 0xc9ed626e, 0x3ac7747c, 0x06dfa1ff, 0x49b914cf, 0xb343cbe2, 0xb626a2ef, 0x9e5dd2b2,
+    0x0f0e1d0c, 0x7418f5f6, 0x8c176f19, 0xd2b4e3e3, 0xf99dab1b, 0xa303f344, 0xe0b10799, 0xe3a216cb,
+    0xf44caeb3, 0x542d9e82, 0xf79b2879, 0x33aa1a3e, 0x2e901f7e, 0x88fbf43e, 0xec789edc, 0xb2904161,
+    0xa173d832, 0x9a89b0b7, 0x627fc944, 0x571159d5, 0x35a38050, 0x86f41ace, 0x755a53df, 0x06121ca8,
+    0xe5f3e7f9, 0x125dc42f, 0xcda02246, 0xfacc1725, 0x34ac1a9b, 0xd4d929ce, 0xdb09629b, 0xe264f77b,
+    0x1d800a09, 0x225ecab8, 0x82b03888, 0x2e27fa73, 0x03d6ae7a, 0xb273d1e1, 0x58561f12, 0xea788cff,
+    0x2ae66a21, 0x5bdcb36d, 0x129dc7a5, 0x5fe93d74, 0x5cba91bf, 0x56b377fa, 0xb0a3b6cc, 0xe4da15c8,
+    0x19495a66, 0x14bb73f0, 0x28463b49, 0x28788cb3, 0xb173c359, 0x5c7fa36f, 0xe60b94d7, 0xbbd71529,
+    0xd635fed0, 0x1d13786c, 0xeb5bc88e, 0xcb7c84db, 0xab4b4ff4, 0x71414a54, 0x2b677801, 0x1c29e552,
+    0xd516047b, 0xb6c56929, 0x8d1af8c4, 0xb67d4063, 0x9b60aeb9, 0x60eac840, 0x58661d98, 0x0fb0eac6,
+    0x4aee1b22, 0xdaa50e4b, 0x90cbaed5, 0x829d141a, 0x5ebd3740, 0xdd6ae84f, 0xc0649516, 0x37bf8aab,
+    0x5639d719, 0xe0b46f37, 0x11f00a68, 0x4f840424, 0xd6d83c7b, 0xb6b26a7a, 0x0719f4ef, 0x57983e2e,
+    0x03dc8559, 0xfd0ab27c, 0x738576aa, 0x223d4b86, 0x37c847cb, 0x1fead64f, 0x8399d117, 0x1e839d47,
+    0x12ff8606, 0x199efa1d, 0x7ec86eed, 0xf970c648, 0x3a3f8e89, 0xe11621fe, 0xd431892c, 0x4ea13b04,
+    0x7ad95c11, 0xa14cb28f, 0x00663b34, 0x97a65bea, 0x3adc038a, 0x2b131043, 0x68714cdf, 0x69a89a9d,
+    0x01ee5915, 0x35a6beac, 0x4fb0762b, 0x27c9265c, 0xdae94c60, 0x9ad82b23, 0x2753e892, 0xc0c5d542,
+    0xa2f1caf7, 0x0f71cb9a, 0x3181dfdb, 0x487cdb75, 0xe53f4b8b, 0x6f8dc8f1, 0x84e7865f, 0xe895314d,
+    0xa05b5ccd, 0x15088343, 0x5261a02e, 0xd1f2b63a, 0xd6f7fe4b, 0x6ee0e830, 0x8231e0ef, 0xa722c15c,
+    0x9e3f54ac, 0xb30d7ca9, 0x405489e7, 0x6dc2b1fc, 0xcfd3f75b, 0xab66723b, 0x40d693c5, 0x9d035e0d,
+    0x91844d73, 0x1a0fbd8e, 0x74c0e1ca, 0xa2ff4a3e, 0x0bff37ec, 0x803ecaba, 0x10666040, 0xfc3afe8c,
+    0xe51a3524, 0x8e3b2409, 0xef285eeb, 0x0bf6cf94, 0xcb2c956c, 0xa9838777, 0x4f47e2a9, 0x97a30c15,
+    0x003285f8, 0x4e50ccc9, 0xaa1eb885, 0x983f3bd6, 0x38893041, 0x9196e11d, 0x80c43ca9, 0x1cece14e,
+    0x2ffecf17, 0xcac844bc, 0x29088b8e, 0x23b780de, 0x5408fe52, 0x5ca0eb1b, 0xd1897512, 0x11a8e555,
+    0xac67654b, 0x46eb3111, 0xa102e3b5, 0xf6bb09d9, 0x9df6f53a, 0xd7889c86, 0x1bf6adaf, 0x292ce45b,
+    0xd5c1ddaa, 0x305bea3a, 0x90546d6e, 0xd09ea97c, 0x9280e3f6, 0xd9c48024, 0xd1f88edf, 0xea814c73,
+    0xacbd1398, 0x3b411e49, 0x084ca41c, 0xd7b1e56a, 0x17e93962, 0x290c776a, 0xd6524829, 0x5edd4a4f,
+    0x7a827408, 0xd48d7cd1, 0xf195a201, 0x4b989a68, 0x770472e6, 0xf4f45563, 0x81e24d97, 0xde5770d5,
+    0xc218b581, 0x6ca6e122, 0xaf460808, 0xae8a70a7, 0x142de6fe, 0xb6690648, 0xc72d7846, 0x0fb56957,
+    0x410659b8, 0xc69ed7bc, 0xed155498, 0xeceaccf9, 0x712bdb09, 0xf9a5a946, 0xe262bd13, 0xd1a12eee,
+    0xb50c7b43, 0xb4fcc40a, 0xc642dece, 0x38a868b5, 0x26a23321, 0x2a8b3468, 0xfdcbac5b, 0x7d6e0eb9,
+    0xa27ba4d8, 0x8788b11b, 0x375a7e59, 0x28f7ae15, 0x44b4e8cf, 0x4155f751, 0x0b8f80d9, 0xce20b47f,
+    0xb1a33cb1, 0xec071414, 0x7be3f355, 0xac9264b6, 0x1736f4e1, 0xb861315b, 0xd437182d, 0x3179b6c2,
+    0x3ca58696, 0x73bdf62b, 0xf075a73c, 0x725fe441, 0x872d2ecf, 0x2492e639, 0x209adf02, 0x2a36605b,
+    0x1f5d4d8d, 0x666d5ac1, 0x534bc6c4, 0x5ece9894, 0x79892b26, 0x5bbf5827, 0x02cd6f4c, 0xb0eb81d0,
+    0x318f773e, 0x2e2b39a4, 0x8a91685d, 0x27cc680b, 0x3e08a1a5, 0xfa751869, 0x80f225f9, 0x95ba87f1,
+    0x00d9047b, 0xde18f099, 0x0ce5221c, 0x43aabc1d, 0xfe5d6136, 0x107b48e1, 0x61176d16, 0x16a86520,
+    0x3dc3de53, 0x59989255, 0x10ebe5a9, 0x2f171b83, 0x9aa4d984, 0x4175feef, 0x040d2bfb, 0x77e81ed6,
+    0x3fd43859, 0x2b47a6c6, 0xbdc2e1bf, 0x1da1c551, 0x3d9c46e4, 0xa11bf776, 0x4f503e29, 0xc6568647,
+    0x378b0331, 0xf9997676, 0x6cc28025, 0xab1e75d4, 0xcd140733, 0x43d207aa, 0xa891e189, 0xd5838225,
+    0xa0b67921, 0xb612cfff, 0x0f6ffa34, 0x82f0f684, 0x204a6314, 0x27327a20, 0xdecf4571, 0x364062c8,
+    0xf1cc03fe, 0x40ade7fb, 0x40f93d5d, 0x2b4ea6cc, 0x084c8e4e, 0x096756b8, 0xcc4fb8da, 0xc33ac58b,
+    0x1d29314e, 0xaf8a0515, 0xed313c48, 0xfe57eaa3, 0x994dde14, 0x5cad9fdf, 0xd98c21af, 0x33964084,
+    0x960bb95e, 0x4a460cf7, 0xaadca6ac, 0x1e9c6a2b, 0xb4c33a51, 0xbf8a9fbd, 0x04efe15f, 0xd4309c4f,
+    0xb513b809, 0x1899ce01, 0xbf22a9f7, 0x57a4f051, 0x5963bd9f, 0x1b0489c0, 0x4a4026e8, 0x02bf1490,
+    0x1fd3ba9f, 0x393f359e, 0xc79c929f, 0xe1f31605, 0x3695731a, 0x96ebb79e, 0x332947de, 0xfb827bd5,
+    0xe00a83e5, 0x5bc6447b, 0x2c46722b, 0xca20c48d, 0x275f8e16, 0xa1fbf324, 0x44f8880b, 0x3b13443f,
+    0x073b1a76, 0xba3ffba8, 0x1246ed63, 0xa4292649, 0xbd3714cb, 0x889c69d5, 0x808aff75, 0x667725be,
+    0xaa903ef4, 0x9b58ecb0, 0x85e1ea44, 0x749a4757, 0x35e8e911, 0xd0f91e81, 0x7e2f10af, 0xdfa9726f,
+    0x0d7064d4, 0x9990fc66, 0x643e23aa, 0x912473b1, 0xef5e6c55, 0x84edf732, 0x717062fd, 0x66161225,
+    0x1c65262b, 0x47d7bedd, 0xfb3c9c21, 0x9971f2b4, 0xf07604ed, 0x7ac65d17, 0x349949a5, 0x74f6eb5d,
+    0x1dd67baf, 0x54bfe4e1, 0x00ce0371, 0x53bf22c9, 0xf59d2d49, 0x7af241fe, 0x87dc878f, 0x0a08dcae,
+    0x2cdd0bbd, 0x14191503, 0x70000f84, 0xf41df4cb, 0x68b02f07, 0x8c858461, 0x2386fa5d, 0x7367b061,
+    0xa326667d, 0x22c049d4, 0xa547e426, 0xf11664aa, 0xdc81b26b, 0xf85bd188, 0xd4b050e0, 0x05b74927,
+    0x15fa66aa, 0xcb00a4dd, 0xc75a8ee7, 0xf3d424be, 0xcd63f1b2, 0xd25de585, 0xf699d3f4, 0xa69cc034,
+    0x7710cfbb, 0xd9aa1082, 0xc61b8442, 0x5b35fa84, 0xf043af6d, 0x032ff618, 0xc25adcb0, 0xf2dc6229,
+    0xd122b7bc, 0x1be1616b, 0xc200b0f7, 0xb54cab48, 0x1954d442, 0x25b5a896, 0xaad83251, 0xf002efb1,
+    0x3e821894, 0xeee8dacb, 0x7fc93b91, 0xf024ffea, 0x1711a0a3, 0xee46df03, 0xe738bbbc, 0xfff65dd8,
+    0xe2cbecc4, 0x2b055fd4, 0xe9f644ac, 0x92f9f31e, 0x5077cf59, 0xf977d245, 0x5f62f516, 0xe516d052,
+    0x580641dd, 0x1126187c, 0xe65002e4, 0x592ab019, 0xc22a3705, 0x073c62b2, 0x9a3ad1d8, 0xcf0bd5ac,
+    0xabd19e22, 0x4c8360af, 0x203b2f95, 0x91a24344, 0xa8d58f4c, 0x576a4a28, 0x91422bf6, 0x49673d46,
+    0xebaaf8f5, 0x5d48be1e, 0x1532ebbe, 0xf99e6811, 0xf322cd4b, 0xab5944cb, 0xa2266384, 0x4f59f718,
+    0x61005ccd, 0x949c01c5, 0x1c9e6e4c, 0xa50bc934, 0x4f6d97a5, 0xb9520d1d, 0xc9988609, 0x6ba58f56,
+    0x42669568, 0xea594500, 0x15f0df5d, 0x9cd8e2d9, 0x67bdc8cc, 0x1f77c477, 0x3bee85f4, 0x38b7c9d9,
+    0xe672f60c, 0x9cfa7cb9, 0xa51b46d3, 0x4a255b17, 0x5366d253, 0xbc346215, 0x9d092f9a, 0x158d5c10,
+    0x712fb364, 0x57ca9fc7, 0x446b00a3, 0xbc09f71d, 0xef142873, 0xea786390, 0x4d611b88, 0x7c6418ca,
+    0xe42ee5be, 0x48e0f189, 0xfa669e15, 0x39de8a66, 0x0cbff379, 0x520ababa, 0x91501e89, 0x0795eaaf,
+    0xb325e974, 0xc679d4b8, 0xaf6c4a47, 0x314a550f, 0x7c22d969, 0x6dbfd5fe, 0x1a08646c, 0xa1b293a3,
+    0x47fdf968, 0x3d5b883f, 0xeb3fbd61, 0x2e8a02db, 0xbaf587fa, 0x65e45a36, 0x45628160, 0x8dcbab61,
+    0xd826b0e7, 0x070d2941, 0x4c6f98a9, 0x00ad3c01, 0x2dd6c4a3, 0x6426aca7, 0x3052d415, 0x4328dbfe,
+    0x6fcfb159, 0xd37b07c9, 0x976dd5ee, 0x29a529ae, 0x45509e1a, 0x88d1132c, 0xe32f60b9, 0xba0de212,
+    0x942d2264, 0xabfcb35d, 0x5d160cd3, 0x690ddc77, 0x7654e705, 0x25150c03, 0x759c68dc, 0x94590306,
+    0x067f55c7, 0xd943305a, 0x9c5cde15, 0x973b22ce, 0x6b363699, 0xfa443b85, 0x90946b8f, 0xd82f351c,
+    0x854f2a66, 0x266cdca6, 0xd0ac15af, 0x3d413334, 0x637efebf, 0xfc76bca2, 0x68b5ce9c, 0x024b43ab,
+    0xae61bbd0, 0x9926791b, 0x3a68fbc9, 0xb73eaa62, 0x9963124f, 0xee8dd751, 0x17bfd4b4, 0x65dd5810,
+    0x59460170, 0x7c1ac88e, 0xbf017b93, 0xf6533b52, 0x10a6583e, 0xd9a70d56, 0x3071cc33, 0xdaa2229d,
+    0x9203defa, 0x0ec1e8d7, 0x5d7e0886, 0xc35314fd, 0x6f0679f0, 0x03cedcaf, 0x3b41d9ac, 0xea1bc73a,
+    0x3efd1fce, 0x6afe21c8, 0x9fd1fd7c, 0x12631cf7, 0x93466aac, 0xb7bc4f55, 0x285d8f51, 0xc1163892,
+    0xba66d4fc, 0xad92605e, 0x0d5c6250, 0xb8b43c32, 0x1559ecd1, 0x2f257ccd, 0x79102ce5, 0x5d440b8d,
+    0x429349a1, 0x26ca5667, 0x33fa1dcf, 0x06b6612e, 0xb0753c12, 0xcdbce281, 0x1af3a785, 0xd617c0ea,
+    0xa0993e5b, 0x79beaa58, 0x1f4c52fd, 0xc8f0cac1, 0x183af8bb, 0x12c62451, 0xd70600a2, 0x46da3ecc,
+    0x1607ea5b, 0x199fb073, 0xcf350ea7, 0x9c44b8f6, 0xd474ccc9, 0xce7f4f56, 0xb3c84875, 0x5eb8948c,
+    0xad97fb67, 0x3c901cb7, 0xffc4b424, 0xff6ae2de, 0xf5d277f7, 0xbf630697, 0xc0a228ae, 0x3d14df0f,
+    0xee88208f, 0x37e6ae2b, 0xd8edd1de, 0xcde9b717, 0x3d6802c2, 0xd1d8e2e5, 0x7adaf2e1, 0x8f61112d,
+    0x0f11435a, 0xb552afdf, 0x4cf0035b, 0x58ae4c73, 0xae62f997, 0xc8c293cc, 0x1f2423b3, 0xef7c00db,
+    0xfd62dcca, 0x28186cb5, 0x632759d4, 0x83c94934, 0x67af5f46, 0xd4c9fd37, 0x902735e2, 0xbff96ae8,
+    0x063951f1, 0x3e9abeb8, 0xa920978d, 0x5d30d15f, 0x5b46730e, 0x42798fa1, 0x1c48b666, 0x9c4c8d78,
+    0x00000000,
+    0x5c1db414, 0x1622ae0c, 0x2f99af02, 0xf7d187a6, 0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b,
+    0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000001433436634993794694756763059\
+                          56380433799785311823017570233599302461682679755530300504376159569382855409664 */
+  { 0x00000000,
+    0x6f774a9f, 0xa1d266a8, 0x743d0bcb, 0x068d28ac, 0xcb1e078b, 0x2bffb485, 0x83b115dc, 0xa5c3859a,
+    0x31d4780f, 0xe847b48c, 0x5ac4c6d8, 0xb86dcfa8, 0xc925180c, 0x3a062180, 0x1c953826, 0x3b490161,
+    0xa0bda83b, 0x6a63bfaa, 0xb9f31703, 0xe380d7a1, 0x298135e0, 0xeac850ed, 0x30dfcbc9, 0xf167143c,
+    0x7e044136, 0xa82e3aa5, 0x7e38b58c, 0x8b0f81a2, 0x61fe4c3e, 0x4e5f90f9, 0x40d4d8f4, 0x7a14b97c,
+    0x3e643cdc, 0x0eff8fb1, 0xc7f1745b, 0x488cb2c4, 0x4cb1abaf, 0x814e1dd1, 0xb98fc426, 0xb992fa7d,
+    0xa01387b9, 0x902de959, 0x709342b3, 0x2f338732, 0x03884edf, 0xe04f6419, 0x0f2d67ed, 0x670a29bb,
+    0x8cfe158d, 0x4a9b10d6, 0xa791aa9a, 0x048d5d47, 0x33363fa0, 0x238b73ca, 0xed5f7cff, 0xdad58718,
+    0x9e624b82, 0x339343d4, 0xb8f7cd4a, 0xe805ddbc, 0xdbeb9b4f, 0x12d06b61, 0x0cb3f9aa, 0x9f443770,
+    0x3f4d2272, 0x3c39b51c, 0xb92df3da, 0xc352acde, 0xc45ddbf6, 0x5da24db8, 0x31e0cae2, 0x5febadf5,
+    0x95b108e1, 0xffe60395, 0x08abf6c1, 0x2671d439, 0x702b1455, 0x03c30d14, 0x066a8107, 0x397087d8,
+    0xa2e6eff3, 0xe5ed9152, 0x6286d938, 0x8f61a5f7, 0xd71fda08, 0x638188cc, 0x80d1d9bb, 0x1df44ea7,
+    0xc4c1ef1e, 0x161dd6d8, 0x84ab4f39, 0xd7503d4e, 0x45747cef, 0x7aeba8a3, 0xf3ee36b7, 0x4caa43fe,
+    0xb60cd188, 0x2f6b7c97, 0xb1a71d50, 0x7948102f, 0x4ff21cd5, 0x895ee0ad, 0xcf667dba, 0x2209c4e6,
+    0xefba0e2b, 0xf4986da8, 0xd0d392b6, 0x069da32c, 0xe1a2514b, 0x12f7523e, 0x4137672f, 0x5fdde2e0,
+    0xdacfd9f4, 0xaa35bcad, 0x9499fcab, 0xd16858e5, 0x8a94a3ba, 0xfaa4df78, 0xaf9ecb8b, 0x70366856,
+    0xda93537b, 0x2703c0d9, 0x391af557, 0x03ae8916, 0x1b10404c, 0x11241204, 0x870db742, 0xf79f961d,
+    0x18460eeb, 0x7f763d57, 0x1470e746, 0xd9104de9, 0xbcb30c43, 0x8c975867, 0xe139549d, 0x0655084f,
+    0xf14fcfa3, 0x778a3af8, 0x4877abdd, 0x5d7e85aa, 0x2aad86ed, 0x4f929678, 0xa6f6e9d3, 0xeeccfade,
+    0xb147e45a, 0x725e6f38, 0x53efe128, 0x1dbb2d3a, 0xcec4c543, 0x220baf66, 0x304be976, 0x8f06eb9c,
+    0x227cede1, 0xdf3376a4, 0x8e75e48b, 0x7434ebde, 0x10c6145d, 0xd8ca8196, 0xe5875e0e, 0xb26a9150,
+    0x50073273, 0xca1dbd32, 0xdf24e3e0, 0x7f518c08, 0x6526a096, 0x1dc71328, 0xdc4b8e6d, 0x4e3d125b,
+    0x2cc693f7, 0x3164ed7d, 0x75379447, 0x85b3c6f3, 0x58635219, 0xe25c284b, 0x31d676a7, 0x6c1a66a6,
+    0x44941246, 0xe3027a23, 0x1858bc6e, 0x86d8d8d1, 0xc71c9f54, 0xb2228763, 0x13a7bf8c, 0xba1cac70,
+    0xeec4d38f, 0x36d45bc5, 0xb48a7703, 0x9dee8377, 0xe94c193a, 0xa7c3c3c5, 0xb623ebac, 0x2c6c3da6,
+    0x67d77132, 0x27181dab, 0xa15c164c, 0xd1705df1, 0x5b7ee654, 0x4cd474ae, 0x90c860cd, 0x5e341079,
+    0x9f2e8eea, 0xf1e7d37b, 0xb53d6414, 0xad882e67, 0x8ef05893, 0x8b40af8e, 0xdb80e1d5, 0x33825f12,
+    0x9c9e50c1, 0x20106994, 0xe33394dc, 0xfb797ec1, 0x61fab2d3, 0x6663a953, 0x098aaec9, 0x207976f6,
+    0xa18ff1f1, 0x1c1c9416, 0x8968a0e6, 0xae58741d, 0x90c0be0a, 0x27ccf58c, 0xe84f8ea4, 0x596127d5,
+    0x7b56b497, 0xb28ac9d3, 0x6063fa4e, 0x3a43e301, 0x6b130982, 0x7b468144, 0xb6f4924d, 0x725f848f,
+    0x218a2410, 0x4cdd9af0, 0xd7fa624d, 0x94df4a2a, 0xddf10eb0, 0xb5802647, 0x6f279f2f, 0xc40b21b3,
+    0x8eed537b, 0xb531a268, 0xab233755, 0x66652104, 0x6bb1efd2, 0xcb41ccdf, 0xb1b9fb82, 0xbbdfaaa6,
+    0x8bf0ebd4, 0xdca94750, 0x9095f9c6, 0x0ae6bf45, 0x1b02e332, 0x907458f8, 0xcaf94be1, 0xde5168a0,
+    0x8cc84b2a, 0x02ee60c0, 0x4c655b88, 0x6ea5f388, 0x22e9c310, 0x66be286e, 0x81bc0729, 0x8ac855ee,
+    0x26919458, 0xfd9fd6b5, 0x2641e731, 0xc9a2f765, 0xe9d2e224, 0x88db931f, 0x18fe5753, 0x6abfbbc2,
+    0xfead81ab, 0x86dc3494, 0x0275ca5c, 0x53e79e51, 0x06b3d597, 0xef9832d9, 0x618fb125, 0x99748a60,
+    0x0afd7900, 0x7e5f65c2, 0x18a85a3b, 0x87afbeaa, 0xe367b945, 0x24b3b2bf, 0x5a6aaa15, 0x2148d746,
+    0xfdf1b9ce, 0x07c62d92, 0x35fb7b0c, 0x3bd0de48, 0x8d425865, 0x18b1cbb5, 0x1d12cfe2, 0x1adbd5b3,
+    0x9d8b4840, 0x54ef65a6, 0xdae3c548, 0xba76e915, 0x5b00fd05, 0x7cc0280b, 0x1aad8dda, 0x7c4dcdde,
+    0xd0f92ee9, 0xe4437173, 0x7f8fdeb8, 0x774d7f5d, 0x4c0c97f0, 0x97274041, 0xfcdb2a4a, 0xa4a525a5,
+    0x826a9934, 0x05e9bb59, 0xd377a443, 0x3fb3b1ac, 0x7178d957, 0xfaad0888, 0xd5482031, 0x56b63df2,
+    0xdff6fc46, 0x4bf97763, 0xae0dd300, 0x08c41825, 0xfbf61cfb, 0x64f38f2e, 0xd310fb8a, 0x531eb01b,
+    0xaddf02a0, 0xae5b3ea8, 0x18524708, 0xb711e119, 0xfad38347, 0x8a2bd00f, 0x96f827e0, 0xa49dd2c4,
+    0x0b78e77a, 0x2273429f, 0xe9f28d73, 0x4d97ad41, 0xe4422018, 0x3816f2f7, 0x8f500d1f, 0xd262ae57,
+    0xb72ab923, 0x152bc875, 0x7a6aa537, 0x1a203745, 0xca59065e, 0x39ad1e77, 0xcf468df6, 0xfddc3c82,
+    0xf25fd6bb, 0x15ab6769, 0x99b4c356, 0x2eca5a1b, 0x6fa3aca5, 0xc7813a91, 0xe8f33cd4, 0x470a084c,
+    0x2bac7688, 0x0c25a3f5, 0x4f1817bc, 0x85bc7115, 0xdb296d5e, 0x496e3003, 0x8997fa43, 0x29fcf2f9,
+    0x197ff8a7, 0x4050ff3d, 0x867c5def, 0x885b1fd7, 0x01bcedb1, 0x2d1edd9f, 0x67079018, 0xddc66ac9,
+    0x383bd83a, 0xccb91b61, 0x1d6363e7, 0xe6826792, 0x08efac1b, 0x91addf40, 0xe4ee4dd5, 0x59096af4,
+    0x2b218974, 0xdf6dd5d5, 0x884088ac, 0xb6916e28, 0xb57dfb57, 0xfec82dca, 0xe5a62df1, 0x777a3384,
+    0x8339a8b8, 0xd48b9956, 0x672e2e0e, 0x2f9a5ec7, 0xa66414f0, 0x0037df4f, 0x7565ac37, 0xe52d66fa,
+    0xae99727b, 0xde9b536d, 0x1d7dc47a, 0xb46baa8d, 0xce39fabe, 0x96e825e4, 0x94d4ea3d, 0xdadda1ff,
+    0x34d2b19a, 0x366b4d8d, 0x7df08b78, 0xe2c01c65, 0x1d67c475, 0x819f9ba4, 0x2d42c54d, 0xb988a5b2,
+    0xa661f604, 0xd919de4c, 0x097f7978, 0x838170b7, 0x168f46e9, 0x693e03ce, 0xeef26b91, 0xfaedfd0b,
+    0x1e486882, 0x0b3d6951, 0x082a18ac, 0x539b5555, 0xef557bc8, 0xce97d8c5, 0xf552a9a6, 0x3e9fc042,
+    0xdad992de, 0x0df71fa9, 0x291bb1b1, 0x7c2dfbe2, 0x0cf78032, 0xd972bb94, 0x567bb98a, 0x119c2537,
+    0x4c9dc7f4, 0x15eee890, 0xf3b1b947, 0x041202be, 0x107d7696, 0x3cf0a0fa, 0xb5ecec79, 0x6935bf37,
+    0x72618ee8, 0x8c340045, 0xaffa8725, 0x7a86c8f5, 0x84c056e4, 0x103ecb3d, 0xa12ab5e7, 0x63074ab0,
+    0x61a5218b, 0x2b03a28f, 0xacece636, 0xd24e805f, 0x4934b9db, 0x7a94a545, 0xde525ed0, 0xe88d084e,
+    0x701057bf, 0xaeacf5cb, 0x3d6bcb9b, 0xe8944552, 0xaea3dcdf, 0xd00e3a84, 0x62a2dc79, 0x07919f4b,
+    0x09e600a5, 0xdb99a713, 0x9d66fedc, 0x67a03c10, 0x8b8bc51f, 0x03916135, 0xed9ab098, 0x29058e34,
+    0xe45e9dfa, 0x9a60f98b, 0xb55bed5b, 0x87309cba, 0x11bd2c3d, 0xe475bc3b, 0xa97bce87, 0x1fef14d6,
+    0xcc7438c0, 0x15d8b93f, 0xad626f0c, 0x1aeeee1d, 0x509e221e, 0x2f0bfb58, 0x89fdfb15, 0xff9b18f9,
+    0x12508526, 0x8df42ccd, 0xdeb78367, 0x488f80ce, 0x1572a616, 0x2c1bad0d, 0xb4b1233f, 0x65882b67,
+    0xa099eafd, 0xa62db56a, 0x8051fd8b, 0xfdf01ee3, 0xbbbd2aca, 0x7941369f, 0x9efa6f36, 0x173d692a,
+    0x1765389d, 0x4e4d49c3, 0xfce7d252, 0x0491d862, 0x9dab1ab6, 0x856eb32b, 0x3abffb6e, 0xdc2cdbc4,
+    0xc303b04f, 0xed1a4666, 0x1a2bbe8d, 0x9d265e3b, 0x80712fbc, 0x45c4343d, 0x4cdbc09f, 0xa6f261df,
+    0x2279c412, 0x524565d8, 0xf031068f, 0x55da69ee, 0x7cacb36d, 0x2232939d, 0xd49146d4, 0xa0797a1d,
+    0x558a5880, 0xbb38b78e, 0x69909d4d, 0x85867721, 0xdc2de67d, 0xaa1dfd94, 0x4c84c84b, 0x1d29636d,
+    0xb209e719, 0x86cab876, 0x8e7a4b97, 0x8581a0c0, 0x3f6a7c93, 0x71899031, 0xe4548070, 0xe28f9ba1,
+    0x35f326e4, 0x86a25a43, 0xbabfa944, 0x1e2bf62c, 0xa0631bbb, 0xaf794031, 0xb8c8c8c5, 0x5efa1312,
+    0x8322a54e, 0x1bd28d1f, 0x7bbae528, 0x50dc21e5, 0x283a545f, 0x1e617ff5, 0x993af973, 0xdee5f48b,
+    0xae487aae, 0x92517132, 0x18ed5111, 0xdc08624f, 0xca275c97, 0xfc839361, 0x0959571d, 0x7b03728c,
+    0x4d90ba7e, 0xd6978978, 0xcc26044c, 0x4f82bb51, 0x4132f529, 0x8abeaa4f, 0xe887e5a9, 0x7589c328,
+    0x3d771b0e, 0xa8732474, 0x3fe2046d, 0x5d9914b5, 0xdf9527af, 0xfae6f3fa, 0xe3c5e619, 0xd90c2356,
+    0x7f15ddb4, 0xfa7381ff, 0x55285789, 0xcd845fae, 0x118d61cf, 0x9a1a6cc2, 0x84d7b8aa, 0xe5c62ba2,
+    0xc005056f, 0xa513acb2, 0x05bee0cc, 0x7ea8fb67, 0x852bb758, 0x6ab43bd0, 0x904a75a7, 0x7ebdfe27,
+    0xdecf1786, 0xe3a19ec5, 0x0dcfb870, 0xcf3842a4, 0xdc1ec249, 0x54326267, 0x1f18bc0c, 0x04d4848d,
+    0x5296d355, 0x248249c9, 0x7e8065d0, 0xa140d973, 0x3852d1b2, 0xfe96ea4e, 0x22fc344c, 0x1cf9715d,
+    0xb8306f14, 0xe171af6c, 0xa943e54a, 0xe19a7324, 0x0a3fe558, 0x87f37162, 0x7b693b05, 0x4d142fa4,
+    0xb5e7a290, 0x69d0b768, 0xebb9184f, 0xd77e5ea2, 0xcd3f3844, 0x6b6f9a6d, 0x2cf21e01, 0xc76cdbca,
+    0xb137cd0f, 0xaef1086c, 0x1c331e91, 0xbf478909, 0xf052c9ba, 0xd81f5f58, 0x27fe3d02, 0xb853583f,
+    0x9f1ffdd5, 0x367b425c, 0x68a10470, 0x44290b9b, 0xe6389956, 0x258c04d8, 0xef8b6cbb, 0x9f0428e1,
+    0xc1ebdb5e, 0xd87a1eb0, 0x29f7cd4b, 0xd1062da5, 0xe0f544e0, 0x27cebb2f, 0x2caa2670, 0x4d5d2b6b,
+    0xd6261160, 0xd6f8509a, 0xc32ef6fc, 0xff8d7d1e, 0x7d89ef00, 0x0eab16ef, 0x1cde5bca, 0xd2245945,
+    0x77d7d185, 0xc7e334e6, 0xe56163a7, 0x3487988e, 0xbdd50460, 0xadbce6a5, 0x983d80e0, 0xbdb4f791,
+    0x4e2de6c2, 0xe83683fa, 0x2bba3b3a, 0xf29be2c6, 0xd032c149, 0xdb148d8a, 0x3f930eec, 0xc0c59d33,
+    0xc4d3807e, 0x09ed3b0e, 0xbe118911, 0x23f047db, 0xda74ae9a, 0xc20667a1, 0x42d4b6ca, 0x855666bd,
+    0xe2a2b2f5, 0xd58e6f74, 0xb6fb177d, 0x94892acd, 0x029aa210, 0xe7319047, 0x5b3a2194, 0x3684d8ae,
+    0xc6e1834b, 0xd5dd7ee3, 0xfe3b19d4, 0x1417be1c, 0xa58ce142, 0x420bafb8, 0xa3fe5844, 0xbc734f04,
+    0x71a590f5, 0x73c735ac, 0xd2750926, 0x13f7ac8c, 0x501234a0, 0xf4aa2c04, 0x0cc24e21, 0x9318c92d,
+    0x3ec03810, 0x72ca9123, 0x1e63c65a, 0xa817c146, 0x4a4fbcb2, 0x0e47b104, 0xba6b3b2f, 0x70eeec47,
+    0x2e013a98, 0x343b3cdb, 0xf1a07c97, 0x9b61672d, 0x5bd9d11e, 0x11bcc0d1, 0xbb8cca9b, 0xd6ad944b,
+    0x04367611, 0xcfc8dea2, 0x272c6625, 0x3500a6d1, 0xaf727587, 0xea49122e, 0x57af8a30, 0xd4885ef9,
+    0x4392aba6, 0xd1d5c2b7, 0x5d719431, 0x888a29af, 0x8121136b, 0xdc83a51f, 0x8b6af09e, 0xf0a99dde,
+    0x9668c6e9, 0xfe445268, 0xa844f81e, 0x42903c00, 0x481c391b, 0xb3a076bd, 0x49ecc108, 0x048f4ef1,
+    0x93a1392f, 0xf06ae494, 0x7eab20ca, 0x329c544e, 0xaa54cec0, 0x04a95973, 0x20bb03c4, 0x4b51e773,
+    0x3717cbde, 0x4b619cd4, 0xe49cbd4a, 0x5ef1d8b3, 0x69a03849, 0x238405fb, 0x26fd7685, 0xdd8aa571,
+    0x9828e22b, 0xdd9559bd, 0xebe9ab5e, 0x9dcf5984, 0xd091d2de, 0x3cdadec4, 0x881348f5, 0xe77016b3,
+    0x151bae43, 0xde275868, 0x8885b435, 0x3ee35a9f, 0x37f7a431, 0x7771d7f0, 0xebea6a4a, 0x78278f03,
+    0xaab1e117, 0x162af380, 0xef5b2218, 0x6e9b7ff5, 0xa31122c3, 0x92cce937, 0xbfbc59e2, 0x8a57cb2a,
+    0x85fe5d44, 0xb29288bf, 0x29a1a320, 0x91a55ea9, 0xa5750403, 0x1de56033, 0x236c774c, 0xdfc737de,
+    0x7369bd56, 0x1a757bcd, 0x4b8907a9, 0xce79188a, 0x21dd8185, 0xbbe5bcdf, 0x36ca400e, 0x08eb7360,
+    0xf795c5a5, 0xabc7185d, 0x9508860b, 0x04e08bac, 0x287522c3, 0x9a9d986a, 0x284cf87b, 0x153ec060,
+    0x69f28a79, 0x08440e5e, 0x8a6fe399, 0x6a4f2b70, 0xdfb21553, 0x692dafc0, 0x65e1f5da, 0xdbe4bc0c,
+    0xedfbf0e6, 0x5c99e552, 0x7273c44d, 0xc9fa8c39, 0x5a783a49, 0x15c6f34f, 0xe9ad5c2c, 0x1f5d8016,
+    0x72da72fd, 0x7ae4fdb3, 0x8e2babee, 0x9219d144, 0xe0e9822d, 0x43a6eb91, 0x1a68a9ba, 0x31c3de92,
+    0xb019739e, 0xb0169141, 0xa4157866, 0xd1b40396, 0xee8037b2, 0x4b84f82c, 0xfae5deaf, 0x93435b82,
+    0xf7b0ffa9, 0x09086099, 0x52d86f9a, 0x20fd4ee0, 0xaf1013e1, 0xc41a5d52, 0xa782a997, 0x6b81c842,
+    0x0c11cf5e, 0xb9f24735, 0x8dff1852, 0x8df7b4a1, 0xdc98bd0e, 0x77223129, 0xb44c2783, 0x59fc89a0,
+    0xfde11f64, 0x56eac458, 0x9c4cb524, 0x872f6b60, 0xd10fb912, 0xe6256d6d, 0x0f3421c5, 0xbd374b45,
+    0x90b44b7e, 0x9a57a978, 0xcc32f5d3, 0x2dce391d, 0x996bbbeb, 0x4abf81d1, 0xfa53ba83, 0x25d7cf2a,
+    0x91eb1a88, 0xf9317cc6, 0x30901628, 0xe9ef3a0d, 0x03d67444, 0x18252d2d, 0xb585a299, 0x2881ba99,
+    0x177913be, 0x26e0b76a, 0x276ccdfb, 0xf4272f2a, 0xc8a31db9, 0x1a138bc8, 0x8c346987, 0x04e8b3b1,
+    0x05a891bc, 0xc48fecab, 0x8230b34b, 0x68359c2b, 0xdc4da2a5, 0xfcf4f32b, 0xabab6599, 0x8eb20a84,
+    0x1e802d71, 0xe88ef7ed, 0x0f9f6cd0, 0xd6dfb792, 0x2e1a14ac, 0x2c7b0405, 0x614a4182, 0xed6a170c,
+    0x958a8aa7, 0x9f3a75da, 0x6ebc11df, 0x959dc55d, 0x86fa15fd, 0x33295e68, 0xeded1ce5, 0x9c605bab,
+    0x604ceb03, 0xa7875c68, 0xf962c121, 0x4d9aa380, 0x523bf06a, 0x1cce502b, 0x9c930638, 0xbec24d47,
+    0x82e0f678, 0xc55becc0, 0xa10682a4, 0x6c8a78b9, 0x295b2f70, 0x0d85f67b, 0x29cb5922, 0x21f368d5,
+    0xbf084c5b, 0x8e5bd3fc, 0xf6b95f06, 0xfe661c55, 0x768ee1fc, 0x6f37e7f2, 0x251cbe5c, 0x7fc74c17,
+    0xf844b20f, 0xf2f9bcb4, 0xf78485be, 0x708b2a15, 0xafa905f5, 0xfe84ece7, 0x6cd2db73, 0xb4f0b287,
+    0x208e776c, 0x0c99c1d4, 0x1302721f, 0xc1c9015c, 0x81a1a0d0, 0x87758a89, 0xe5048d55, 0xea31f90b,
+    0xfb4440a7, 0x9b847dc0, 0x31dddc73, 0x6fa98861, 0x1467645e, 0x1094dd1a, 0x9b6729e1, 0x3eb585dd,
+    0x43a73733, 0xa35a0253, 0xed77a61f, 0x694fa893, 0xd0a1d6c0, 0xd69f26af, 0x240ae505, 0xf6674524,
+    0xc0f10114, 0xf0897316, 0xff25ccf7, 0xb8bfc127, 0x55f4769d, 0xd03c3a81, 0xb1ced272, 0x9550bfc5,
+    0x711eb301, 0x0e8c8104, 0xa9ca9afd, 0xcb9fb3da, 0x27ba53d5, 0xf9eaaf81, 0x38c1a8da, 0xd066d6d3,
+    0xad9925f4, 0xe1237ef8, 0x9898b67e, 0xf77616a9, 0xfd9775cf, 0xc153597d, 0x7ddcfcab, 0xc8080875,
+    0x00000000,
+    0x2e0eda09, 0x0b115706, 0x17ccd781, 0xfbe8c3d3, 0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125,
+    0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000716718317496897347378381529\
+                          78190216899892655911508785116799651230841339877765150252188079784691427704832 */
+  { 0x00000000,
+    0xc7d724ba, 0x9539d757, 0x9d1ad415, 0xcc973c8f, 0x97452818, 0x9bf69825, 0xebe77685, 0x1773b3ee,
+    0x935b84e3, 0x542964b8, 0x85faf787, 0xe3827841, 0x2843113c, 0x6323d050, 0x43df2a28, 0x8708db67,
+    0x5aca2f93, 0x363329b4, 0xc4214c59, 0x1b88344c, 0x79b11152, 0x6aeaed53, 0x7f0fd087, 0x93cd8932,
+    0x6277d8c1, 0xaa541f01, 0x93fb46cc, 0x0548b0b0, 0xbc664594, 0x0a22d7fe, 0xec3e1ffd, 0xde202335,
+    0x1452ff56, 0x938616f0, 0xa1ef2537, 0x1fcb97e0, 0xf5b600af, 0x7c1be3c0, 0x4605a20b, 0x83af11a6,
+    0x8c95591c, 0xbdd4b00b, 0xfab34df3, 0xe49af76f, 0x06493095, 0xa49d521f, 0xd3d8515d, 0x4da541b4,
+    0xc2cdf1d8, 0x674b9c35, 0xc94241d1, 0x9fd0de9f, 0x7a72b73d, 0xa90e5941, 0xe391ebea, 0x88041904,
+    0x5131b9b9, 0x9902f8c4, 0x45e02f90, 0x9c0e95ed, 0xa086fba0, 0xbda79c94, 0xaa56a014, 0x3315ba10,
+    0x2db91117, 0xe3c9cf7b, 0x64593011, 0xe041567c, 0x64c6b9c0, 0xf10713fe, 0xb014562a, 0xb1480e40,
+    0x00cad4a8, 0x51572a54, 0x1ebbb71a, 0x3a7b21aa, 0x866b782e, 0x4bc93f30, 0x7af7b86e, 0xf4089d11,
+    0xd8198220, 0x484470ed, 0xa892122a, 0xec68e25e, 0x36f1abd9, 0x547f41ad, 0xf448237f, 0x007d64d1,
+    0x1b22e70d, 0x1041d3a6, 0x52389bd1, 0x5c0bc577, 0x128b9052, 0x5b2f3146, 0x4cee4ed7, 0xb6434780,
+    0xf00f99ba, 0x40d12dc6, 0x3a149603, 0xf49e6145, 0xaae147cf, 0x271446e6, 0xe095529a, 0xcbe362e3,
+    0x7f67fb85, 0x5d9f05d4, 0x719fd092, 0x0e1f5f50, 0xc88dce81, 0x59e81c81, 0xf92496ea, 0xec8b153b,
+    0x7d7544ec, 0xb47e9d92, 0x47c1a3b0, 0x3730852c, 0x20acb2dc, 0x72a87fd3, 0x8b017d65, 0xfd81a008,
+    0x033de4fb, 0x6bd6b7cc, 0x961a6706, 0x7b989eb3, 0x5dfbeb0d, 0x3bb34bf3, 0xce6b5a2a, 0x1991f035,
+    0x3a701da0, 0xceaded80, 0xd4686314, 0xe5d87757, 0x99bf3e41, 0xb85c1476, 0x1bee11d6, 0x49485471,
+    0x100f4e2d, 0x06135d91, 0xae7c1ddd, 0x5332512a, 0xb6ac13f0, 0x6814e5f3, 0xe9bbfefb, 0x99b982da,
+    0x3dbafd93, 0x333e67ce, 0xc1cab038, 0xe282558a, 0x2e6726b7, 0x78f0326f, 0xf17984f6, 0xd29132d9,
+    0x78428c9d, 0xfdff05e8, 0xcdc7adda, 0x69afe7ed, 0xbdee4e2a, 0x778ebce8, 0x328d6012, 0x64e556e3,
+    0x9f2c7715, 0x9d6c9b97, 0x5be70ea4, 0xc32a3cfa, 0x0ef0f8b3, 0xed4cd357, 0xf7fb5317, 0x97587cc4,
+    0xbb17cb73, 0x7b9ff4ba, 0x7e6b1e8f, 0x05386587, 0xc827369a, 0x204c11b3, 0x0ab70731, 0x561eb184,
+    0x2457ed33, 0xf3d3d4b8, 0xe6f37d68, 0xb0ecfd10, 0x8e68e6c8, 0x1882952c, 0xef7a387a, 0x536d6541,
+    0x9586e67a, 0x23c2776f, 0xe937ea48, 0xa9cdbe68, 0x3f34115b, 0x723a4bc7, 0x3deae65f, 0xea949172,
+    0x8a2dd5fc, 0x07649f29, 0xf11d5b46, 0x268b5e8e, 0x1e965ceb, 0x62bedaf8, 0x243ab74c, 0x51347af5,
+    0xa41c2af3, 0x8e872447, 0x72a7edae, 0x95d92120, 0x0f8a19a5, 0xba816b06, 0x333e0f62, 0x07640f3d,
+    0x166e7b51, 0xbb269efd, 0xb71e4571, 0x2cfd8203, 0x5ac08847, 0xab68df11, 0x5ccfa1bc, 0xfa499158,
+    0x4c2f3c0d, 0xd1c7a1f9, 0xe80de818, 0xb6a5551d, 0xab02f2ac, 0x5dbb7557, 0x332a4632, 0x03e11ff8,
+    0x4cec74ec, 0xf00d8491, 0x9817db36, 0xc72c9107, 0x7a4b6dd6, 0x30d63e2d, 0xa2e08fb7, 0xc1d5d070,
+    0x8d5c2e1c, 0x30f9a43a, 0xbe8b72f0, 0xc02b2ab5, 0x4be5d80d, 0x2e1ef666, 0x88d37956, 0x306fa06c,
+    0x2b3ac5d4, 0xe5e2cc48, 0x6f3a4554, 0xd89ddf98, 0xac97c9e2, 0xd148805b, 0x060dc354, 0x383c5470,
+    0xa6566a50, 0x807168c8, 0xcc6e260d, 0x85de6a41, 0xbd690b40, 0x24aa42a8, 0x7143aa37, 0x54efba16,
+    0xb2cf4e9a, 0xf341ed94, 0x46a24d3e, 0xa4714ba0, 0xc3504bc9, 0x8277781c, 0x6720dddc, 0x325ee115,
+    0x4f856a2f, 0xe104d0da, 0x87ed724d, 0x4aae490c, 0xee32be55, 0xd82dad89, 0x88e4e100, 0x14e667fd,
+    0xb1688572, 0xe80e1e42, 0xe6a74785, 0x02d9f5f4, 0x872de695, 0xc2238b51, 0x66c68c9f, 0xb5278c37,
+    0x9467671d, 0x998aeb0e, 0xf8392933, 0x36a2f0bf, 0x9d3a53b2, 0x3096f3f9, 0x27ae57d8, 0xfa639502,
+    0xdc7d0ec0, 0x823ab548, 0xadbbd6bf, 0x128373f4, 0x993e99b7, 0x7e765b53, 0x2ddc1555, 0x0baa0ba8,
+    0x9eb942fb, 0xc471b55f, 0x11111413, 0x490f16f8, 0xc2db3a2c, 0xcdd36210, 0x81fef61f, 0xd5e3a44e,
+    0x38a92b14, 0x5f647233, 0xf7f48dac, 0x9f52f5e6, 0x2add7dd1, 0xca217e84, 0x2218c4a7, 0x852d38cd,
+    0xd23ec623, 0xe72286d3, 0xeea4795b, 0x545b2106, 0x21758125, 0xc60369dc, 0x973d03f7, 0xed4d423c,
+    0x62694ee9, 0xf45d6a65, 0x543d0319, 0xccbfbc8b, 0xbd24d0d1, 0x429c218f, 0xa3787467, 0xf70faa7c,
+    0xc457cbba, 0x9d6a3f85, 0x44fd196d, 0x3343e7dd, 0x4829ee6b, 0x00b8c06d, 0x5675c8c3, 0xf4393345,
+    0xd507394b, 0xaa126d7e, 0xf1a3c959, 0xc1cf3757, 0x25456591, 0x99e0389d, 0xed0e3c5b, 0xaa32a541,
+    0x536e44b8, 0xc28de573, 0x0880ad6c, 0x99c3b321, 0xd22e6c7d, 0xba7d7e33, 0xb77174fd, 0x7e1d9c0d,
+    0x1f2b859c, 0xc44da4e4, 0x02ec7a67, 0xb16f0059, 0x473b5235, 0xee9e5d51, 0x1f24df17, 0x2be4f9d3,
+    0x533fd753, 0x9c052a31, 0x5162a93d, 0x7878be2a, 0x63d311e0, 0x819aacda, 0xcd5761cf, 0x522da4e5,
+    0x32a53918, 0xe8bde579, 0xaa008203, 0x950128be, 0xbd3701fc, 0x7ae01790, 0x1f1a5644, 0xda56ce5e,
+    0xe657a9d2, 0x8ffe8479, 0xb4734f9c, 0x93bd1a1d, 0xa3393ce7, 0x312f39b5, 0xdec6e97e, 0x8a9f8fa9,
+    0x9224dbb7, 0xa50464ba, 0x7899cf00, 0x23b585e2, 0xfe993ae6, 0x780bf634, 0x9ec742ee, 0x978b83cf,
+    0xed1c8296, 0xfcbaccfd, 0xc8157878, 0xf2a0fc29, 0x916c994a, 0xca7853b9, 0xcd9a92c7, 0xd89cb13e,
+    0xba40cbc2, 0xf2ca6abc, 0xe52d605c, 0x08b5065b, 0x4f1bec24, 0x5accf065, 0xa3bb5348, 0x76812d40,
+    0xa3a6447d, 0x68d8906e, 0xb30c0532, 0x1441a11c, 0x68464491, 0x120fa91c, 0xdabb60ba, 0x9c79ebb5,
+    0xbd0e5374, 0x916a0fc6, 0x2a99952e, 0x5be31276, 0x2acd6fb3, 0xa6c14875, 0x621ab9d5, 0x266e22eb,
+    0x4fc6776d, 0x869969a2, 0x54ba98cb, 0xe4a98f29, 0xa5cc12bd, 0x0b7ab2b3, 0xad37150f, 0x8cfbf0d8,
+    0xaec3f912, 0x06002b85, 0x216a9c54, 0xf32b8886, 0x522dd40c, 0xbe582897, 0xbdc2d365, 0xc8fabe41,
+    0xea082467, 0x982b6b2d, 0x4fc1d562, 0x9524e91a, 0xebc56c4d, 0xd99066aa, 0x9d220931, 0x90decdea,
+    0x4142d90d, 0x54804f08, 0x081304e0, 0x59e792e3, 0x6055c16f, 0xc4ad9d33, 0x267ad85a, 0x3f4f6259,
+    0x1224e25b, 0xb914e25b, 0x6badbfcb, 0x8a625bc0, 0xcb6503f5, 0xdc294b87, 0x96e93b9e, 0xbce93aa0,
+    0xe2689b87, 0x7cc69b6f, 0x3c5d32e4, 0x9c80c648, 0x17727c70, 0x4bce0a99, 0x2ebd39c1, 0x645da6ae,
+    0xdc741406, 0xc765d5eb, 0x13d49ce8, 0x6aa6bca8, 0xe5806841, 0xd4aec7e6, 0xde3a84a1, 0x38f5bfc2,
+    0xfd42cdd3, 0x34c4b999, 0x6aceb1a9, 0xd7545259, 0x902a4137, 0x18a8da81, 0x32adf867, 0x8e665f40,
+    0xc34f94fe, 0xaab48c3a, 0xf0642de7, 0x3379070c, 0xdf48c4fe, 0xc5e82788, 0xb1cee50a, 0x7c14ee3a,
+    0x4efed7b8, 0xebe3276e, 0x2e78feb4, 0xe1a539f2, 0x807cfbcf, 0x979e7646, 0x9e52e41f, 0x7e95b2ac,
+    0xf3c2740a, 0x634d50ee, 0xdf27da42, 0xd17f3f90, 0x28ca1388, 0x75c57695, 0xb929c753, 0xf8ce45a0,
+    0xfbb50d1c, 0x9ed27434, 0xe32b2b01, 0xf12d2459, 0xce2f0666, 0xfff1d2d0, 0x028fa296, 0x6fe62a1f,
+    0x2b6f0de0, 0xf3858095, 0x18ae54b5, 0x66cc3f7a, 0xd194fc68, 0x89ffa739, 0xb275e0b3, 0x9f0b2e5a,
+    0x5e36ae7e, 0xdf43401c, 0x5fc0a696, 0xf60aa1ac, 0x62dc4c96, 0x4adba6d5, 0xce83436f, 0x2403fcf6,
+    0xc3f3d275, 0x8f66829a, 0x33105c09, 0x58de908d, 0x3baaeb74, 0x388c63f2, 0xaadb1e09, 0x212c438b,
+    0xb8b102de, 0xf0b5d3ae, 0x9321c4d0, 0xc567c895, 0x55f4eae7, 0xc082c0f4, 0x64b09ba3, 0x59901d59,
+    0x50900a9f, 0x9f917674, 0x672d7490, 0xdff84618, 0xc088b707, 0x96cbafa3, 0x30a1d0c5, 0x3903902e,
+    0xb94609f1, 0xddf42dcd, 0xc02e76b3, 0xc7bf14f3, 0x8123a044, 0x9502bb74, 0xb56a8c39, 0x09f8db75,
+    0x2a697668, 0x3141c335, 0xc758e97d, 0xfe1c31bc, 0xfd4c6c2b, 0xcbcc6353, 0x47f76c9d, 0xb872b76f,
+    0xd19252f1, 0x42bf183e, 0xcc0e5d88, 0xc713d777, 0x9ead9a21, 0x775d42bb, 0x0b81784c, 0x8ed0a6c2,
+    0xd77bc908, 0x0e7417e4, 0xbc5c4f94, 0xd53c15f2, 0x145aa829, 0x81323b70, 0xd47aad33, 0x78428d80,
+    0xaeb8a1e4, 0xdd384ae2, 0x86bd6d90, 0x6bf25db4, 0x12d640ac, 0xb58b4ba1, 0x031f35be, 0xd8a6ddd3,
+    0x13d5424f, 0x5373f745, 0x7e27ce72, 0x6abd283e, 0xe9216a63, 0x5980e6d5, 0x039b2b1e, 0x17d69a2e,
+    0x0b1332fc, 0xadccedd2, 0x91f573d4, 0x62aea435, 0x054978f0, 0x4f7f1e23, 0xa7e14276, 0x68787286,
+    0x7af12283, 0x47f1dbaa, 0x8a963d56, 0xc6ee4ee5, 0x19942595, 0x7bb6abf8, 0x2684b833, 0xec5917b4,
+    0x120fe9c2, 0x71131887, 0x0ee5352b, 0xfc1ff9cd, 0x4a7fdca8, 0x7d17cc97, 0x8dabb3de, 0x05bab3bd,
+    0xcefc3654, 0x0a060012, 0x3920426a, 0xc731da46, 0xb3b68cd0, 0x5b618c3b, 0xce7aaec3, 0x78db6d00,
+    0xe075ecc9, 0x801f4e9c, 0xb4885c31, 0xc5e80218, 0xdc63c6bc, 0xb28e6a61, 0x9bed4eb2, 0x2edbe98c,
+    0xa1fc5097, 0x9f10a1e1, 0xded9bcfb, 0xfbb7afc9, 0x13b86dca, 0x698fc9bd, 0x9bd51c93, 0x6164b6d4,
+    0xf07c533d, 0x075c2b34, 0x78462566, 0x214e8060, 0x3f4d813c, 0xb0f7a5ec, 0xabef5aad, 0x504671bb,
+    0x210e6ff1, 0x8473dc29, 0x4e428743, 0xc498ca3f, 0xc8efb2e1, 0x47a3db32, 0x2126f6ee, 0x3908a0d7,
+    0x8d120d3a, 0x3cc757b4, 0x991936a6, 0xd66c0497, 0xff7df3a6, 0xb655a117, 0xd62937e0, 0xd9811e67,
+    0x73057752, 0xb814f8e1, 0x3aef49e2, 0xb2752a9b, 0x5b1ab2f1, 0xf05bc130, 0x5d11ce27, 0xd66edd39,
+    0x8ff155f1, 0x05861905, 0x4af27338, 0x5efb3d3b, 0xab8f8773, 0xbb2fbccd, 0xa4267152, 0x28c76b3d,
+    0xcdde14cc, 0xf80a98a9, 0x15f1b61f, 0xe7de384d, 0xf922bb0d, 0xcbbd7af8, 0xd63af28f, 0x2d4b81d6,
+    0xf9d4f17d, 0x25c31d14, 0xf9d04763, 0x0e703f74, 0x25811fee, 0xb0794abb, 0x695483d8, 0xb748502f,
+    0x48b12777, 0xcf37cf70, 0x9831fb30, 0x95229174, 0x690a9697, 0x9f3d2929, 0x2cd7deb4, 0x3f2c1695,
+    0x225697f5, 0xc2dd9a13, 0x1b699f2a, 0x54be1500, 0x0d02fb92, 0x017a59ed, 0x4d0937d3, 0xa7aa9dc9,
+    0x2585f64b, 0x78500988, 0xb40da1ef, 0x4816672e, 0x62c85ddf, 0xeed5ea5d, 0x1a6f821d, 0xb43033c1,
+    0x243aacc7, 0x131d02b7, 0x05fbb7cd, 0x0a29ce0b, 0xfd645172, 0x11c9278c, 0x020365e9, 0x101dd036,
+    0x7bc9abad, 0x310fa344, 0xf2113963, 0xd5545a73, 0x278d749c, 0x2bde7a2c, 0x536251a0, 0x88feaf8a,
+    0x0896492a, 0xced6ae3e, 0xc8801bb4, 0x26668570, 0x4ef326ec, 0x2dc2e1b4, 0xaef784ea, 0x0c8beb70,
+    0x18a28ba4, 0x4fae1846, 0x76277235, 0x7fd8570b, 0x203bd44f, 0x897186e2, 0xe17f41aa, 0x6dbdda0d,
+    0xa593c344, 0xa78c1a2e, 0x08a1e285, 0x992f267d, 0x9bf55fac, 0x91af8599, 0x05462468, 0x30a4e223,
+    0x1d452287, 0xcffca246, 0x5e597a90, 0x1f5ab9d7, 0x6fd6a3e1, 0x91737dcb, 0x4a23cb09, 0x37f31956,
+    0xbc84b6d6, 0x60394ca7, 0x2ab04100, 0x46aa1f5c, 0x9dc259ac, 0x8d0132a0, 0x955fb595, 0xaafbdedd,
+    0xc2debecf, 0xe554dfe5, 0xe96f6ae2, 0x0dacaf37, 0x5d408bdb, 0xb9ec4d1e, 0x29465875, 0xb52af280,
+    0xf7733496, 0x697e7ee0, 0xf1c1a3f1, 0xf33faa62, 0x5e3e9cf1, 0xed567188, 0x87639493, 0x7029168e,
+    0x6d639142, 0xffd9dc7f, 0x238c6e74, 0x58c73bd5, 0x03331424, 0x0f781141, 0x7120541d, 0x990932a3,
+    0xe3c6a6a9, 0xd42c2fab, 0xb0e0926a, 0xdc9fd8f6, 0x42fcd634, 0x140d4140, 0x5a33c9dc, 0x1ce9fff4,
+    0x71a1e7c9, 0x0de8cabd, 0x3a2d5dbf, 0x4677cb4f, 0x9fa63ebf, 0xf0f49c24, 0x9ad4c6a2, 0xc0c83f90,
+    0xe9c56353, 0x8fcb869b, 0x710f4c4d, 0x983b5702, 0xccb2a49d, 0x44882a04, 0x4e7ba16b, 0xeff5e585,
+    0xfa4d4b8a, 0x1e1d79a9, 0x187c3fb4, 0x0f988d23, 0x29be65e2, 0x801eb0fa, 0xade42b78, 0xdd2436c3,
+    0x757cc303, 0x42eed522, 0x6750fa7c, 0xd1d84be3, 0x23450a27, 0xe6f9213a, 0xf6aa00be, 0x1ad42f1c,
+    0xd8e97239, 0x64ef919f, 0x28920add, 0x30482e66, 0xf438df7b, 0x00dcc60e, 0xd15428a6, 0x112fe402,
+    0xbc8fd45e, 0xb2f820d0, 0xa9585afb, 0x0c91af01, 0x56b8c25b, 0xeb563ad2, 0x4ab4bfaa, 0xd7941491,
+    0xac1c3cb8, 0x2024c7a8, 0xe893ea5d, 0xde92dfe8, 0xf7a38c75, 0x3bdcf374, 0x86544689, 0x6e46499f,
+    0xf573ea3f, 0x370ed705, 0x3f41530d, 0x2620819d, 0xf461fafc, 0x3bbb25b3, 0xc337ec55, 0x73a0489c,
+    0xf913fe95, 0xd9d596d7, 0xea9759da, 0x1a1023c9, 0x5ea37095, 0x5aad492f, 0xd4c3b29c, 0x8928bfaf,
+    0x3612256e, 0xc77dbeef, 0x860d81b4, 0xd6f625cc, 0xceeecb4b, 0xf0fd50c0, 0xbe99a492, 0x0bebce03,
+    0xbe1886f8, 0xb9adf5e0, 0x9f3b849c, 0x47c657ad, 0x9b7669dc, 0x95acef07, 0x60618efd, 0x4fb775b8,
+    0x9f80b931, 0x40f96fd4, 0x58340d2e, 0x40948e47, 0x4a73c06a, 0x56376e28, 0x07943c9e, 0xcdc2efdd,
+    0xdcb19cb5, 0x5173bf62, 0xa4bf7b90, 0xa7e19dc6, 0x58b8e199, 0x9f6fb25f, 0x5d96f1f4, 0xcc898b43,
+    0x18b76fbc, 0x1d39f487, 0xc3e267cc, 0xba943d9c, 0x110ad1b7, 0xa22eb8ba, 0xc3a4959c, 0x15676fb1,
+    0x0ec82efe, 0x8fe4b877, 0x2e901257, 0x3476e056, 0x45c09f73, 0xaae68f50, 0xf652d466, 0x406c851f,
+    0x85efe8ba, 0x20d50e44, 0x235ecd6d, 0x0e7203d9, 0x8f706ba4, 0xe21c4287, 0xfe2c41af, 0xd9b71e2c,
+    0x4b3991ae, 0x15f5267c, 0xbb15b40e, 0x7d5e3dec, 0xe5120201, 0xf27c4e07, 0x85024cde, 0x4c12905e,
+    0xe43580a5, 0xd358ee63, 0x2142ad7a, 0x2b23871d, 0x11eb5159, 0x52bb52f0, 0xe3b3bc38, 0xa180bc9b,
+    0x107a3f56, 0xa5ef9a28, 0xea13ecc9, 0xab5cb7b5, 0x3996594b, 0xbe78c37c, 0xd394ddda, 0x84cd711a,
+    0xc3db9cab, 0xe605bafe, 0xad43c8d6, 0xb0441e6c, 0x1fd39839, 0x4ed33474, 0x34513da8, 0x2e6fc382,
+    0x6f337c0b, 0xae5a8b25, 0xa0375242, 0xeb938e6d, 0x84e2dcc8, 0x9390d09c, 0x4e815c7e, 0x76df93a2,
+    0xcf31377e, 0xc4cbf9df, 0x54c16582, 0x4869d5ea, 0x268f1570, 0x62ef62a9, 0x1dbb4c8f, 0xdda2b23c,
+    0xd893fd6e, 0x7a30a281, 0x5091c9df, 0xcd17c742, 0x386ccee3, 0x28859972, 0x23330ec8, 0xa003368d,
+    0x00000000,
+    0x17076d04, 0x8588ab83, 0x8be66bc0, 0xfdf461e9, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092,
+    0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000358359158748448673689190764\
+                          89095108449946327955754392558399825615420669938882575126094039892345713852416 */
+  { 0x00000000,
+    0xa609fe57, 0x9e31b398, 0x60cb00b0, 0xb53e5c64, 0xd674affe, 0xf7945e87, 0xd3f402be, 0x98462c2d,
+    0xe138e2cc, 0x0570ee5a, 0x6e0f0ea4, 0xe812c426, 0x742f6627, 0xa3548fc1, 0x7871a612, 0xbf9c8a6d,
+    0x72d2a3bd, 0x0e4f7782, 0x4bc52263, 0x637e5d67, 0x89fb8359, 0x0c15595c, 0xf58f5cdc, 0x8047c3ad,
+    0xf0a293e6, 0x9411c11b, 0x8c79c95f, 0x6ec4e08e, 0xd60ef113, 0xbeb334d6, 0xa08a9de9, 0x793b9ff3,
+    0x7925294b, 0x2d63f4a4, 0x20c8da06, 0x308fb259, 0xac4618ae, 0xe63d13e8, 0xb51bbf7f, 0x655b1fda,
+    0x0c72af5a, 0xe11065c0, 0x395dd388, 0xbda2fc28, 0xd3c58f21, 0xf80e3005, 0xd62c4937, 0x57563cec,
+    0x8896eee6, 0x546f7bd8, 0x98f6484c, 0xd6640546, 0x155fe3cd, 0x1d602865, 0x7c131a9d, 0xe0b841ed,
+    0xd27e9fdb, 0x89bf1cac, 0x9b90ba05, 0xac97afbf, 0xc4050cc2, 0x33930978, 0xbac21f81, 0xc9ce56c6,
+    0x72acc773, 0x0839a642, 0xf4a89862, 0xb671e419, 0x738eda1e, 0xaaafe0da, 0x363248f8, 0x1f5e5bd5,
+    0x9b19e253, 0xb7153e69, 0x7012b5f7, 0x1d4c1e30, 0x86618315, 0x61f4d92f, 0x6c73a213, 0xe40b2b8b,
+    0xc0e09610, 0xc0a03069, 0xa9441ff5, 0x0f467c60, 0xcc70867b, 0xbee40cc1, 0xad23ac3c, 0x5cfcad74,
+    0x15d12f7b, 0xc3b142b6, 0x86c70a14, 0x33a7844f, 0x3f43d898, 0x7d032f85, 0xc54efa02, 0x6d959b69,
+    0x73553ca5, 0x4c1e7bf1, 0x2654262c, 0xf760b2f1, 0x943390ba, 0x3f363b05, 0x24d80115, 0x66e4159b,
+    0x6c6b1ef8, 0x6c097132, 0xb10591c5, 0x81bfb807, 0x37dbc612, 0x9b9b13b8, 0xdeece624, 0xcd75e453,
+    0xa6ce9c8a, 0xf8eb4e73, 0x7bac523f, 0x0bf30908, 0x25f935a7, 0x1d47911f, 0xcf72424e, 0x5c6701d2,
+    0x98a2d407, 0xcd7e4d4b, 0xd196191a, 0xf0cd1a72, 0xf49196f3, 0xbbe5b41e, 0x40d890d3, 0x917e69ea,
+    0xe47df7e1, 0xfd9afff7, 0x60c9c5df, 0x0c5f799d, 0x6ce1cc82, 0x56dbfbf4, 0xaa79947a, 0xceb98a55,
+    0x8cc8f733, 0xa0c97905, 0x4c613922, 0x66f79dc0, 0xdc02ee67, 0x70ddfa1c, 0x8f90c0fc, 0x5b2d721d,
+    0xd3eadde3, 0x22652d71, 0xdce3a274, 0xe2bf8ab7, 0x018da8cd, 0x00149a7f, 0x6c39ddf2, 0x15501a21,
+    0x6841a50f, 0x66bf58a8, 0x2f762527, 0x2664c688, 0xf42134a2, 0xe00a3bc4, 0xe88d5a3f, 0xb99256fa,
+    0x62aa766d, 0x20fe3d5f, 0xe8887465, 0xad1289cb, 0x3e237fe9, 0x9fd242cd, 0x084cf8d8, 0x59fdb89e,
+    0xaa8c2624, 0x3584af98, 0x75eacfc7, 0x883a4f28, 0x3e66ff54, 0xf80fb388, 0xeaa28657, 0xac7177da,
+    0xfa55e22a, 0x332ba21e, 0xba1a8954, 0xa4a26c6a, 0x723eb232, 0x9bf3174d, 0x31375c1f, 0xefb520ef,
+    0x8b816a71, 0xaa32625f, 0x08cd86fe, 0xf93f1c61, 0xadb0cba9, 0x6136fc93, 0x1e80106b, 0x4856227d,
+    0xb8fdae8a, 0x0776e8ed, 0x0c759b7d, 0x02c2d6ed, 0x27e09488, 0xce573f60, 0xa16e24c7, 0x97e9ffe4,
+    0x69176361, 0x31ee6660, 0x83bb5575, 0xe22305e1, 0xd17d3e69, 0x8aa77658, 0x04614abb, 0x9ed4fc1f,
+    0xcb5c29f5, 0x9f0a086b, 0xeb2c7b24, 0xd28c2122, 0xd3d1c77f, 0x93ee415f, 0xda8397f1, 0x3e5721cb,
+    0x9b403611, 0x79ac81b7, 0xd96f5785, 0xe266bb4f, 0xd083d0a7, 0xd9134567, 0x574f10cd, 0xccb9aad4,
+    0x5281aec1, 0xda4e652f, 0x35cd0e3f, 0x56c53b4e, 0x3b20800e, 0x3c57bfe3, 0x45344bba, 0x2b591fc4,
+    0x6dbcf402, 0x9d0ce11b, 0xad91f001, 0x1f1df78e, 0xbbab0b0d, 0xf7741868, 0xa97df47b, 0x4c6bd62e,
+    0x2f563827, 0x0c9fd3be, 0xb206c3dc, 0x6260a0f6, 0x6ea5439d, 0xc134f300, 0x461fe404, 0xa32ee676,
+    0xf916064c, 0x1524d41b, 0x0b514353, 0xcfeaf18f, 0x4b299546, 0x1e223b10, 0xc0b809eb, 0xeeface3c,
+    0xf06f8aea, 0xe2718789, 0xea52fb5a, 0x6ef0770d, 0xbf81c51b, 0xa36d8ccf, 0xb667e2fb, 0x83d47bf1,
+    0xf75d4288, 0x15010f9c, 0xba2d6edb, 0xb03b9411, 0x6112da2a, 0x8283d6fc, 0xf69dfe5e, 0x6275c1ba,
+    0x79f5e1b0, 0x8b599fcf, 0xeee1d928, 0x19771ed0, 0xd8ca4f0e, 0x84b9b613, 0x87a3d9d6, 0x749dfd12,
+    0xa8b60487, 0x0b4b9324, 0xd8e58922, 0xc778a99a, 0x2674e2fa, 0xf0c306d0, 0xe4c32d8b, 0xb698aed0,
+    0xe7981857, 0xa7165e6a, 0x7068d820, 0x1a3e7546, 0x385609c9, 0xa77f9b9a, 0x5254c44d, 0x54d5d61d,
+    0x25fd4384, 0xf7493277, 0x7d34b7bd, 0x56e1c504, 0xb58a539f, 0x784e2c64, 0x2c67d458, 0xf615a579,
+    0xc84552ca, 0xd9a6b745, 0xff71d0ba, 0x8c834961, 0xd4aad564, 0x76ed41c0, 0x92d91130, 0x08644caa,
+    0xa20599d6, 0xb7172bbc, 0xed539951, 0xc964417f, 0xbe951de2, 0xb607f525, 0x98314288, 0x8a918cc5,
+    0x304a2c73, 0x17fa0db4, 0x801708be, 0x059d4f2b, 0x891863bd, 0xebc62190, 0xd518f3dc, 0xb700c6b1,
+    0xe413cd68, 0xaec98585, 0x11cde543, 0xeb607040, 0xa6ecd087, 0xf7d4b5e8, 0x5ad23e7f, 0x8441c707,
+    0x9475f6a7, 0xb9dae3c9, 0x2d876122, 0xe726751c, 0x8061d147, 0x62accc1b, 0x452c1cc4, 0x9a08a2fc,
+    0xba1abd49, 0xeaaf2076, 0x57abc234, 0x6e79145d, 0xab979138, 0x9b549e65, 0x86d45bf8, 0x1f50f730,
+    0x584a2b10, 0xcadb00fc, 0xdbbc545c, 0x78f72d6a, 0x076d781b, 0xdf7ca415, 0xb48d4c12, 0xc66b78c4,
+    0x8be2de21, 0x022ddc6c, 0x3de2f4ea, 0xc0b0d891, 0x6d7471bd, 0xa1cc62e4, 0x372ca341, 0xa11b1d8a,
+    0x479a3432, 0x9e8d3465, 0xcc04ad0d, 0xd2dd7453, 0x702ea062, 0xd463aa21, 0xdfd90f5d, 0x4d094c4f,
+    0xe444b566, 0xd33f7021, 0x58ae3c9d, 0x2a699baf, 0x356547b8, 0x1b6a8136, 0xebe707c1, 0x38545c2d,
+    0x8185d3d7, 0x543a01e4, 0x1fc56ad5, 0x2d48f69d, 0x3954630b, 0xc87a5320, 0x1c202c60, 0x819d1ce4,
+    0xb7f9ae7a, 0x79c16081, 0xf4fb34da, 0xff2f5efd, 0xd73ecaca, 0x2005c5fc, 0xeefe025a, 0x2bb97249,
+    0x2a90b343, 0x14be2b98, 0xc0d07555, 0x64546e23, 0xdab7a5df, 0x3a57c98a, 0x9a6ff609, 0xee7ccf10,
+    0xe08961e6, 0x115fd90f, 0x9133dd75, 0x6272e4e9, 0xcaed60f8, 0x2d02daef, 0x55795303, 0xf59c95d3,
+    0xc2390679, 0xf072d778, 0x785c90ae, 0xda68c1c7, 0xcc257d57, 0xd2944105, 0x5614dab7, 0xba2a6c0a,
+    0x89437c0c, 0xc5ce9183, 0x7c159fd4, 0x12721455, 0xf86576e3, 0xb25ba10d, 0x0e1116ed, 0x34e090c5,
+    0xcb52481a, 0xa4810904, 0x723909e6, 0xaddc7a05, 0xdcc7c133, 0x966d91ad, 0x69d2eb93, 0xb105d728,
+    0xff4a122e, 0x3cbd6755, 0xf122dc6f, 0xe0f20d98, 0x8431d2ce, 0x04b22a2d, 0xed04118d, 0x3841500f,
+    0x2e121d37, 0x2c130501, 0xdfdde391, 0xb91c1e20, 0x38ad6aca, 0x43864255, 0xaf0eb733, 0x623aa98e,
+    0xc5265687, 0x5ecf2a63, 0x75498ce0, 0xb99fb9a4, 0xa5af45e2, 0x86693beb, 0x99b23bc0, 0x3030dcd5,
+    0xa2171e09, 0x778f1b59, 0x2f81862c, 0x5a82126c, 0x51eb011b, 0x47f75243, 0xe629852f, 0xca51660c,
+    0xd5f8d6d2, 0x54dd3d85, 0x33fb2be0, 0x3918fe26, 0x69f92e72, 0x6288382c, 0x51feff5e, 0x228c82c7,
+    0x271ddd3f, 0xe70d9238, 0x1eadc4db, 0xfe2844f1, 0x5bb3467b, 0x4f8eea55, 0xe376aea6, 0xdcabef62,
+    0x5012db5c, 0x3411e705, 0xf46119d4, 0x567bbbbb, 0xedb41a96, 0xd996e281, 0x559dd460, 0x011cf0e4,
+    0x46c87941, 0x49b94af1, 0x64d690c4, 0x5f89cae4, 0xb97c851e, 0xd79e9390, 0x7a229483, 0xa557de68,
+    0x17c6e2b0, 0x3110ac53, 0x4a012bef, 0x9aac08a8, 0x4cfb0a4d, 0x7b88915c, 0xec70f8b3, 0x2e01e2c1,
+    0x0ffa211e, 0xbf166426, 0xab9e0ef7, 0xbb9cb5ab, 0x2873d81f, 0x6f6cbb20, 0x89d05f3d, 0x2d956be0,
+    0x3d3dfb41, 0x35ad746f, 0x441559ee, 0x4db07441, 0x6a37c40d, 0x92e87aef, 0xd3904c9a, 0x43c7f841,
+    0x5a8ace00, 0xf59b69ac, 0x07711fc3, 0x16cabc37, 0x965e9e88, 0x0ee21ed0, 0x6b3511da, 0x954f3ac2,
+    0x43c27508, 0x60f139d3, 0x3006bab1, 0x9d49170e, 0x217aa3ac, 0x127a1fb7, 0x8ddaf7b2, 0x6adf9847,
+    0xbb8595b6, 0x41b3fc61, 0xdffd3bdb, 0xb669b50a, 0x3fd34c8e, 0xb1a0acc4, 0xd7ab41e7, 0xd4037c15,
+    0xf553e444, 0x3d6c3d7e, 0x755255cf, 0xbc31ed91, 0x33532f81, 0xd39e4f87, 0x112a360a, 0x7878c86c,
+    0xa5a2778f, 0x1c4a31df, 0x76a511a9, 0x4705623b, 0x54551960, 0xb81a99f6, 0xc6ce6797, 0xb5178a0c,
+    0x85d3c4ac, 0x82091874, 0xae1d256b, 0x624c737c, 0xf1e8632d, 0xe02e1f76, 0xf45e555c, 0xb886d38d,
+    0x795cfb7f, 0xb483f046, 0x83230ece, 0xa831e37e, 0x80903fe0, 0x88848d96, 0xd65851f9, 0x2a0b353d,
+    0x7e07b9a3, 0xb37e7ad3, 0x020af423, 0x1c949315, 0xeb0094c1, 0x33e62a4f, 0xcacffc43, 0xbc0b8e8e,
+    0xd9f7bcb9, 0x01c20824, 0x2f1c2c24, 0x6e03e5a1, 0x07521000, 0x64b61258, 0xd8bcaec1, 0x94f52399,
+    0xc17a3717, 0x7c9b3cba, 0xe5a09fda, 0xd2e242c6, 0xdc1420eb, 0x17eec7f0, 0x1257c13a, 0x4a8aa066,
+    0x07bf76c1, 0x5a34d970, 0xdc05a562, 0x7415f62d, 0xc4e5c108, 0x67d7417c, 0x57224ada, 0x609d9d23,
+    0xa9165cce, 0xfcf45013, 0x91a96236, 0x9b6e3c0d, 0x04e2e41a, 0xf5698f3b, 0xa1d72ddc, 0x6ce77caa,
+    0x9f4824b3, 0xc63872ec, 0xbacd49ab, 0x495b10e2, 0x01a245a2, 0xe93b08f5, 0x442bab6c, 0x00dd493e,
+    0x85ef8eda, 0xbd4c8944, 0xca0c77d2, 0x04d8a50f, 0xbcc0cacd, 0x6530b0a8, 0xe26869e5, 0x0484e95b,
+    0x274e5c05, 0x490350ba, 0x59c2292f, 0x67aa7875, 0x9d91e678, 0x612b994d, 0x9f7e7a70, 0x98ea2844,
+    0x5e197f86, 0x0d2b4008, 0x289355fc, 0x3973de8c, 0x84781069, 0xc47199fb, 0x18c329a6, 0xa556306b,
+    0xf1b1bd56, 0x917d9495, 0xfbe8f88b, 0xeba6f74b, 0xd0e10743, 0x1cd0e987, 0xf8763b80, 0xe3b12376,
+    0x1a7bfc92, 0xb092e2ac, 0xaf7e945a, 0x8a10ae73, 0xfcd5c98e, 0x21ba1409, 0x4d4f9da4, 0xa837163c,
+    0x58055991, 0xa5de2b08, 0x0a26561e, 0x7a5334a4, 0x4305f943, 0xf0b1b8be, 0x0a4acbec, 0xe8bc0a61,
+    0x1f16c9d3, 0x28ec48c7, 0x24d199cd, 0xf674b89a, 0x2158c234, 0xe8d58d7a, 0xc2ca6491, 0xd72df5cb,
+    0x93ebd4ca, 0xe69e421d, 0x8fccad4d, 0x1397675e, 0x914b6afe, 0x1e96f462, 0xe4007882, 0xa5d394ae,
+    0xb9b0206e, 0xcd7ea34a, 0xcc49f47a, 0x0103a722, 0x82849cef, 0xac24297c, 0x8eea1e0a, 0x16c100f9,
+    0x0f32b9e9, 0x397dac67, 0x4f688dc9, 0x6b8f5f1d, 0x93384563, 0x554bb3d8, 0x18a5b24f, 0x6216f4e3,
+    0x813e9eda, 0x7879d4a1, 0xf7a568b3, 0xd7d0e6fa, 0xbe80c9ff, 0x6484420e, 0x3647362c, 0x5b946317,
+    0x192aa333, 0x625894d3, 0x97f99451, 0x8c7d3672, 0xc536b14c, 0x1387652f, 0x9528500b, 0x86a4c137,
+    0xf2bf75a7, 0xa74fd157, 0x8a8b2ea4, 0xa5f75833, 0x37ce41ca, 0x25d41160, 0x26d5672e, 0x71c72fa4,
+    0xb9733f4c, 0x4ef2d555, 0xff714309, 0xcb516eb2, 0xf1226db6, 0x8e7e1173, 0x17374bbb, 0xcaf742ec,
+    0x872365dd, 0x8ff40708, 0xae3db9e6, 0x3858ccc4, 0x9f95e73c, 0x14b0aa20, 0xe3e961fa, 0xe874e6b0,
+    0xec39cf13, 0x7ce90e7f, 0x1c7a9d33, 0x6b2c8a5d, 0x0311be76, 0x30bb8bee, 0xaf1b67ac, 0x99ac8951,
+    0x904af8aa, 0x99eaecad, 0x2142cda4, 0x8b56ad7a, 0x1f148b35, 0xcd625df2, 0x4a5ff940, 0x468bc5ca,
+    0xf3a4433f, 0x1789b8da, 0xb71afa35, 0xa6ccac3c, 0x2be4653d, 0xc2238965, 0x0b6c59b9, 0x32e04fb7,
+    0xc724378b, 0xb0c0f7b5, 0xfa63063f, 0xdf2adbe3, 0xa6e47611, 0x7170ec6c, 0x09c2a096, 0xa08baddf,
+    0xe33df56a, 0x186d26ed, 0x287c6d06, 0x4b243797, 0x32b52d02, 0x4f096e3f, 0xdb827065, 0xacd2b2d2,
+    0xe4a550ab, 0xc32f2088, 0xf618a16f, 0xdb4181b8, 0xb3b7301a, 0x39ebc33a, 0x6fddd974, 0x27a54d55,
+    0x64cfc8d9, 0x9685ab39, 0xd45d1e8e, 0x2aea91e7, 0x90cdd4c7, 0x8b89f920, 0x6a9efa1f, 0x1fc8c5f5,
+    0xe1011e71, 0xbe33382a, 0x617a9b61, 0x0a0d6073, 0x460244bd, 0x0bdab3f5, 0x35a6d9b0, 0x6246dd79,
+    0x393053d1, 0x9307c7cd, 0x817768d8, 0x54875df4, 0xd39874e8, 0x6ff2a273, 0x68b85b38, 0x0152cdb1,
+    0x4de844b6, 0x44816801, 0x40cb28c7, 0xb2623bd3, 0x8f80c9d0, 0xd419be2b, 0x53704b1b, 0x812c8260,
+    0xbb29760d, 0x9bb443c1, 0x104e5ffa, 0xa120b605, 0x7aa83984, 0x3a208932, 0xbd52dabf, 0xe0fd5658,
+    0xf8c3956b, 0xf4879e46, 0x46f4a4ec, 0xf74932f7, 0x1c01f31e, 0x765e309b, 0x68b2ed7b, 0x9f2a1a1c,
+    0x0e2a0935, 0x5cfc91f3, 0x5cccfad8, 0xd326f669, 0x91ca2235, 0x9d86ae45, 0x3381d8fa, 0x0e493cbc,
+    0x590b37ef, 0xa5663834, 0x33edc6c4, 0x41a81b85, 0x6015e8aa, 0xda5e38b6, 0xc94907b4, 0xe786f9d2,
+    0xb290c4d8, 0xf4f7f7aa, 0x90754e6c, 0x76c4bb1f, 0xc5e3c903, 0xbdd02807, 0x491ff6d7, 0xd2c918ac,
+    0x43eddf2c, 0x217a40cc, 0x4eaa599c, 0x017339fd, 0xa735abbf, 0xacbfc508, 0x90daba69, 0xb9a17292,
+    0x7191b994, 0x8933fa50, 0xed51f957, 0x259abbb8, 0x17b0de33, 0x92de05e2, 0x53b67fec, 0x8567279d,
+    0x62d491b1, 0x74b7f60f, 0xaf1a63ed, 0xe5668e66, 0x3d6bd687, 0x136b3eed, 0xe38d6da5, 0x310bf6a5,
+    0x8b7e4dfe, 0x6da52526, 0x7e418e09, 0x5f1e86d8, 0x2accc577, 0x545b7288, 0x1d3d4377, 0xdc467251,
+    0x0d9a5bf7, 0x1685e91c, 0x164cc407, 0xd399b2f5, 0x5e7fbec0, 0x5257c1c0, 0xdc76c78b, 0x9190bfdc,
+    0xe476caf3, 0x8be8b770, 0xb34476f2, 0x58ca4aa5, 0x968539df, 0x0282937c, 0xffb44e87, 0x08c0c7d2,
+    0xce6614c8, 0xd9ad5a67, 0x241e4d45, 0x2bdf508c, 0x168a5e3b, 0x20c08b86, 0x630dd75b, 0x1dc3c37d,
+    0x585db140, 0xdcfdc298, 0xc3c34387, 0x4f99e31b, 0x202edfa9, 0xacf4519e, 0x9550b91f, 0xe558738c,
+    0x20fea64c, 0x3def9f4c, 0x1f021ee3, 0xe1c5d453, 0xd8e2aeb5, 0x561a2a90, 0xebd92a45, 0x2a1272b2,
+    0x0dbc25bb, 0xf13c98d4, 0x9bde966e, 0xe4e7b0b9, 0x91147ba6, 0x243bdf4d, 0x2dc08933, 0x20107c16,
+    0x06af1698, 0xeff065fe, 0x539f0e73, 0x0a0ffce1, 0xe2375f0b, 0x067d102d, 0x1ff8ab47, 0xf7384fd1,
+    0x5321ba5d, 0x38f188b7, 0x8650a5c5, 0x4a43c762, 0x858e848a, 0x7bb901e1, 0xb7228762, 0x315902df,
+    0x79ec9359, 0xe18d5204, 0x61813b7d, 0xb179633b, 0xc0c5a3a4, 0x645892fb, 0xd4209261, 0x1ef61575,
+    0x1fa05574, 0x76ea3a6d, 0xbedf6204, 0x7b8b71d4, 0xf81c4eff, 0x3ee35226, 0xbfc8127f, 0x982960b1,
+    0x4d12c3b6, 0x29b26264, 0xf68edb89, 0x016a3ae5, 0xe448323e, 0xc4657b3d, 0xa2ca742b, 0x43530843,
+    0xb12b8f90, 0x98172cad, 0xde914183, 0x9ae341bd, 0x7886a66c, 0xbf7edfef, 0x9ff6fc82, 0xe37c7e62,
+    0xea1d5d8d, 0x9d118f66, 0x55e06f04, 0x98345dfd, 0x5062fd84, 0x535a395b, 0x5b91052e, 0xca64ca0e,
+    0x00000000,
+    0x8b83b681, 0x42c455c1, 0xc5f335e0, 0xfefa30f4, 0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049,
+    0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000179179579374224336844595382\
+                          44547554224973163977877196279199912807710334969441287563047019946172856926208 */
+  { 0x00000000,
+    0x079ada3c, 0xb7ac57d8, 0x8cadb8ee, 0xe8a2aa3b, 0x64f6e6ea, 0x75d184bd, 0x0d1eed54, 0xbdaf772d,
+    0x243f19e2, 0x8acae53d, 0x9e930ea4, 0xc474dd85, 0x53599d47, 0x533fc35c, 0xdcfdd795, 0x899202d3,
+    0xb667cf9b, 0x0284932c, 0x6d1c44c1, 0xc8c1ac99, 0x819a33e0, 0x651c0d00, 0xb758079a, 0x5a7e03ff,
+    0xa23d5f3e, 0x0e3702ab, 0x095404e4, 0xaa793390, 0xcbb1179a, 0x448a670a, 0x32ce1248, 0x4dec37bc,
+    0x6908c582, 0x284abd53, 0xbeee440e, 0x848c55b1, 0x81baeb82, 0x8397e57b, 0xc45a5e11, 0x1d86e323,
+    0xb794b5a5, 0x0c54d144, 0xf7708b43, 0x009fc606, 0xae3f6ab9, 0x0080b255, 0x1e265f1f, 0x9a8e484c,
+    0xa90de95d, 0x09cb359c, 0x513af03a, 0x235f6d3e, 0x670338d3, 0xeb6e168e, 0x53c7e819, 0xe4eccfac,
+    0x55798be1, 0xf37695dc, 0x3b45ff73, 0xa84d5daa, 0x34c07a43, 0xca3c26ce, 0x0ce6e604, 0x160faf75,
+    0x35a834d7, 0xc34acdcd, 0x8c931967, 0x6547eb70, 0x4cf33b15, 0xf422bf9a, 0xc2c03aae, 0xd0f97cbe,
+    0x647dc30a, 0x3d67dc7f, 0x218c78c4, 0xce8ceb3f, 0xc21cc378, 0xf8d27e50, 0x4989896d, 0x5f13d647,
+    0xc36161fd, 0x4b092169, 0xd00384e9, 0x767297a3, 0x4fc39b5e, 0xe8d3924c, 0xad9c1c49, 0x895561f1,
+    0x5db0fc05, 0x21101d05, 0xb36e8af8, 0x6f61aa23, 0xd1f2fee8, 0x992d7345, 0x6d1dc819, 0x294f8183,
+    0xcb952a6d, 0x53c837d2, 0xc8ba5cc5, 0x7bcf5e04, 0xe3859806, 0xdce7f4b5, 0x90f4400f, 0x0502ff8f,
+    0x078928e4, 0xf4ee0bfa, 0xb734f36e, 0x95376a7c, 0x5a1f0bd5, 0xc8a2e531, 0x91f2d613, 0x48762061,
+    0xc105d29d, 0xab6bb6f4, 0xff60d2be, 0x4b94baa8, 0x2e2bb540, 0xd69b35ef, 0xd618797a, 0xa013d7a2,
+    0xd19bef41, 0x93022017, 0xf6212f2c, 0xac2570f7, 0x80cb3f4a, 0x4dc552d1, 0x0950e7e5, 0x836cec00,
+    0x8186ee27, 0x78d1b431, 0x1574e40f, 0x8156ddee, 0x28ac52cc, 0x9ffd20c7, 0x58c7be18, 0x2bc58a39,
+    0x2fee19d0, 0x8a7ab70f, 0x93e75372, 0x395f59a3, 0xb3e9d3c5, 0x4c7e3a0d, 0x1c810aa8, 0x03c61604,
+    0x2f362b9d, 0x5a45112f, 0x9c569ee6, 0x6f4a29e2, 0xc571f977, 0x69f033a0, 0x4dace68a, 0xa5d5132c,
+    0xa48933f0, 0xd8f9bf96, 0x07ac52f9, 0x3a835df9, 0xe357f1bc, 0xdd3875c0, 0x684ac827, 0x719759f7,
+    0xcc272acf, 0xa88cce32, 0xe4e51ca5, 0x9d77f22d, 0x8c5bd14a, 0x326f6eec, 0x2a0a9557, 0xf31b04bd,
+    0x87ba8174, 0x47c96842, 0x1a3b5582, 0x9fa5a8d6, 0xd92233e0, 0xe34c08ff, 0xc7b37466, 0x91163ea6,
+    0xb23af90d, 0x37479ae8, 0x717da27f, 0xc6c65bb5, 0x09184d70, 0x99a468fb, 0xfe00ee06, 0x55b50f40,
+    0x4e676720, 0x7fe2e3f9, 0x22fdf2cc, 0x60755f2b, 0x14b867ae, 0x4d0df4db, 0x7bae2fc4, 0xb5e5e66e,
+    0x2a65f4d5, 0xe59722a1, 0xeb129940, 0xc96ae618, 0x505bbfb5, 0xb2796b0e, 0x881de76d, 0xa5a025d3,
+    0xecebbea0, 0x2c060e14, 0x4af178cb, 0x90530c63, 0x26d7bfe2, 0x388c7c2b, 0x71d8bd0d, 0x863cd768,
+    0x7de0c7f8, 0x54e3027f, 0xdaa28f81, 0xc617dbf8, 0x422dd962, 0x80c1a337, 0xeeb517fd, 0xcb2dbb54,
+    0xc4eb90ce, 0x9867d60d, 0x09714b3c, 0xbf824253, 0x4921aa04, 0xafa6c710, 0x34767ae2, 0x43cc5dbc,
+    0x83a6ac70, 0x05c088a6, 0x1be691ec, 0xa196874d, 0x22bf4cdf, 0x735df139, 0x5f24a4b3, 0xda233a67,
+    0xd46995cc, 0x54d93beb, 0x50c045eb, 0x6a472bae, 0xc9403abc, 0xc3e3c5f8, 0x585eea65, 0xa5024e07,
+    0x73f3335d, 0xde4ff2ec, 0x50391921, 0x852d57b6, 0xc7584286, 0xe8927fea, 0x0ffc7e7f, 0x07a97fb2,
+    0x8fe87b27, 0x3219c3ad, 0xcfe45cd1, 0xd260675c, 0x429c13c7, 0x5e910159, 0xf4e4ca02, 0x2600737f,
+    0x5fe85cd9, 0xb09f23b6, 0xe6dd979c, 0x56f9d34c, 0xc2ebc0cd, 0xd5d053f1, 0x8349f79a, 0xa143b730,
+    0x7bca1787, 0x17885120, 0x3ebac284, 0xb693512c, 0x8652a0d4, 0xa85a38b7, 0x94861e8d, 0x13c35fdf,
+    0xcdcac1cc, 0xca5ad3b3, 0x09ece5b0, 0x380943fd, 0xac73e567, 0xff7a8180, 0xcccc628a, 0xd13d2e88,
+    0xbcdc49a9, 0xb4b0606a, 0x4e0ec01a, 0x07f75302, 0xced481c9, 0x7274c5a0, 0x0e555af1, 0xcb181f6c,
+    0xff88364d, 0xd552e163, 0xf945ee2c, 0xc642276b, 0x41bad2eb, 0xb747157e, 0x3eb040ac, 0xc97cc40c,
+    0x0ba38110, 0x4d39ec2c, 0xf9d16653, 0x21ee9026, 0x02a6e4d0, 0x6e034cb7, 0x259548bc, 0xe0013d03,
+    0x4ce1e589, 0x85728703, 0xc44cd720, 0x5592b278, 0xcb081c7a, 0xc7a5f594, 0xeb708cec, 0x6e72e50b,
+    0x912065c9, 0x170af122, 0xfd8f0986, 0x43e547be, 0xaeb89fd1, 0xf81b036f, 0xe3c5954b, 0x69912e75,
+    0x861e4927, 0x89037a3d, 0x84c68978, 0xb750ce32, 0x747fe944, 0x20fee3a8, 0x0dad2d14, 0xcb3f45e0,
+    0x76e38025, 0x529632fb, 0x71b85112, 0xb718cfec, 0xc77d63ff, 0x36507550, 0x91340cad, 0x00d7a1ad,
+    0xc094ab09, 0x80eb38b6, 0xae7320bc, 0x37cf8c29, 0xf1ee8561, 0x8ffe075b, 0xfc75b0c2, 0x034a5c73,
+    0x103f0d33, 0x5e25de89, 0xb5ce977b, 0xc3453e3e, 0x0a368e80, 0xebf02541, 0x86cb18c0, 0x2ae6c5f2,
+    0xbc9a082b, 0x8396311c, 0xd12065fd, 0x3e72dba8, 0x8a654983, 0xc5b4619d, 0x50198d8d, 0x484591bc,
+    0x2da6d18f, 0x8de379d1, 0x721d11aa, 0x28b3b2d8, 0xf98376ab, 0x3e81e6b9, 0x9c9c87cb, 0x4a84970c,
+    0x21694249, 0xc98eec3a, 0x2429c092, 0x93d95b5b, 0x41ab8bdc, 0xb376777b, 0x27818ee4, 0xb03b56da,
+    0x5683444c, 0x77e2c5d5, 0x002d0058, 0x5d86617c, 0xf2a9cdc7, 0x443fa673, 0x89de57e8, 0x58235bb1,
+    0x55f15a3c, 0x566eeb90, 0x7ea90637, 0x18e656c2, 0x681d188d, 0x054d66e2, 0x2f7e0dca, 0x6297a959,
+    0x02ae23a4, 0x4d24ef10, 0x3d69fcdd, 0x0f1354c5, 0xe4ecda19, 0xaf62fdb2, 0xcab95769, 0x29125be3,
+    0xabca155e, 0x74cca14d, 0x42f49ab9, 0xe4a3b945, 0x104bdc3a, 0xbbff252b, 0x2cd16c48, 0xc23f9c15,
+    0xc598a9cd, 0xadd37da4, 0x196c6abe, 0x80592ed1, 0xe5c15624, 0xbb5edc0e, 0x24ec60fa, 0x3ad685e8,
+    0xd2f7677c, 0x41526e5b, 0xa6719681, 0x052e408c, 0xd4afce36, 0x36b526d1, 0xf041ba0a, 0x025fe7ea,
+    0xbd26e1dd, 0x565c1a5d, 0x44574c39, 0xb8008eaf, 0xe4cc45e5, 0xac6f326f, 0x8eacf4b6, 0x41609684,
+    0x02f03fb0, 0x398d8eda, 0x1649816e, 0x069a51c1, 0x67b37b7f, 0xcc8b754c, 0x2e72e367, 0x39b577bd,
+    0x617c068c, 0xcec26113, 0xd3276bce, 0xbcf65813, 0x6461ad6a, 0x2f822d55, 0xf4b43b9d, 0x2eb45984,
+    0xde925fd7, 0xf2b7a836, 0xf7dd9a15, 0x9c43d5ad, 0x6ebcc2e0, 0xd43c5a22, 0xcb2de316, 0xc186ad63,
+    0x15afd8cb, 0xc630a016, 0x113d761a, 0x0d9a27f6, 0xeaa858c9, 0xf36a62c3, 0xc4aea23d, 0xfd8710a2,
+    0x38248bf8, 0x474b454d, 0x502faa41, 0x3269917f, 0xc17efbdd, 0xa19a6b55, 0x3748370d, 0xeb31d229,
+    0xe29d4d9e, 0x936d7ae4, 0x99fb2f76, 0x86eae258, 0x3efa2d1a, 0xd5624e1f, 0x5bbefb9c, 0x5693c7de,
+    0xe19bc771, 0xef72c02a, 0x4e4e63ab, 0xde59d9e0, 0x76759c07, 0x7633f819, 0x0d7e5a3e, 0x0ab9806e,
+    0xd11301ad, 0x458dd38a, 0xd5647d74, 0xcbf04b52, 0x1a58dbb5, 0x97d1b8b4, 0xe5dd766e, 0x983cdf33,
+    0x4887d2dc, 0x167857e0, 0x660463f2, 0x2ab989ec, 0xa88c0970, 0x1e22977f, 0x66b31526, 0xddb5715b,
+    0x9680313e, 0x7d10a8b7, 0xfa89aab0, 0x7bd61712, 0xa9aa5612, 0x90d5a26c, 0x2b71f9d4, 0x0a820764,
+    0xcd334e49, 0x2fcb68e2, 0xaa5cd390, 0x98078140, 0x10935bd0, 0x0832bc12, 0xed471e18, 0x4265cc6d,
+    0xf2708a05, 0x948d7549, 0x243e5335, 0x2e915bfc, 0xe6f308dc, 0xc2e37e5b, 0xaebc7db7, 0xfdda1837,
+    0x500dcb05, 0xcbb7e6f7, 0xcdcecbf0, 0xad5e35dd, 0x09ada50f, 0x28954173, 0x49210a33, 0x8c9044d7,
+    0x62b037a9, 0x02427946, 0x93409f6c, 0xd0c52eb6, 0xdbe8d8e7, 0xa2e48be9, 0x5f881d29, 0x0dc331b0,
+    0x35c53023, 0xdc4263c1, 0x4f35ddd4, 0x7f6c14ba, 0x34066efd, 0x09cd9f48, 0xa7685bb6, 0x52408c7b,
+    0x7257ed7f, 0x866aa62b, 0xf796e5cf, 0x18563f67, 0xeed44f01, 0x36d71a96, 0x6dea6e4f, 0xd52c894e,
+    0x94714b1f, 0x701055e7, 0x0044b41b, 0x201b678c, 0x37874fde, 0xcb9a7837, 0x8b8f2735, 0x45c95416,
+    0xdaf78863, 0x53cef16b, 0xfe614552, 0xf20103a5, 0xb6c617e2, 0x474a8b29, 0xb86dd44c, 0x0f07e1bb,
+    0x4b4aa34f, 0x52339533, 0xae87f6a5, 0x6e6b403c, 0x17e0fd34, 0x2c3c6e63, 0xce2bfbaa, 0x7f72cbd0,
+    0x979f1f14, 0xa7f08d55, 0xb923803b, 0x134d4889, 0xbbf93fc6, 0x007d88dd, 0x7873eefa, 0xb39eaa82,
+    0xd0ec4584, 0x5c86c132, 0xc4aa68d8, 0xb5bb7669, 0xb82fa605, 0xa0d94552, 0x85a97469, 0x0be07ee3,
+    0x1ea1c3a8, 0xa37051b6, 0xbb72a76d, 0x598a9285, 0x125d6947, 0x3b8e42ae, 0x49b87467, 0xe090bba5,
+    0xbc96fbf6, 0xf09e6815, 0xa0ab50e9, 0xbe28ecba, 0x3ce8abc4, 0x0fe0dd2d, 0x25550dc2, 0x6aa3fd10,
+    0x1a51191c, 0x19677a37, 0x9ff582e5, 0xed808504, 0x9183d72c, 0x967d4001, 0x084f88ca, 0xa4531e24,
+    0x84eafca3, 0x00c716f3, 0x3ff815b0, 0xad8b77e9, 0x7ba17975, 0x630e4bf2, 0x60e17a48, 0x9b201748,
+    0x0b0a618e, 0xfbd84bf7, 0xfc42ef98, 0x03a960fa, 0xdc19313a, 0x5bcfbde6, 0x8540c072, 0x024814e4,
+    0x83e81067, 0x64d96ce2, 0x9455e8ba, 0x00351e79, 0x7ce026b4, 0xc783bd12, 0x08cc8b75, 0x5e93cb00,
+    0x16a32cb2, 0x0d403068, 0x87580f6e, 0x3f58d0b8, 0x3186952a, 0x3c8c4390, 0xc219c39b, 0x2a817d2c,
+    0x0ce370ef, 0xd999ea4a, 0x5cca41e9, 0xc1c3446d, 0x726dafca, 0xdb9aa21e, 0x2601807f, 0xcbbcac58,
+    0x56f3be5d, 0x838d0513, 0x8dec5971, 0x5db2804a, 0x64e65bb9, 0xb02edc73, 0xf9bf8b1a, 0x0601e45a,
+    0xc4bd21f0, 0x994b305d, 0xc56e8f9f, 0x584e3041, 0x6928320c, 0xb6e8b3bc, 0x92589e0d, 0x93bc8d13,
+    0x661311ac, 0x23a044fd, 0x4841a839, 0x562c3597, 0xb3db382c, 0x8abb4388, 0x69ab4b9e, 0xe4980bd2,
+    0x9b2be442, 0x27e0e6ad, 0x3fdc0c0d, 0x088795dd, 0x8e89df18, 0xca5fbcc3, 0x7fa33caa, 0x3515fae3,
+    0x646f751d, 0xf0fc6236, 0x23a47804, 0x40c961c8, 0xcb0cd994, 0x6e7c69d6, 0x1137cd94, 0x2a76e4a2,
+    0x91a8d0ff, 0x7c44b5d4, 0xa8803073, 0x1ff8851a, 0xc094c94f, 0xf2a084c4, 0x1c4b2fc9, 0x54684f31,
+    0x0fba044e, 0xe1745a3c, 0xe1d67f81, 0x98a99250, 0x0ee2576e, 0x033ab601, 0x41229419, 0xf637a455,
+    0xfe2b6e72, 0x3b6a0d41, 0x432dc8de, 0x762960e1, 0x9300f93c, 0x5a4d9bf6, 0x6b849027, 0x128a83b1,
+    0xb1340b14, 0x6aabad74, 0xd9839798, 0x9fcdbba9, 0x33243ad3, 0x1a153fc6, 0x8148a785, 0xc01e6e59,
+    0xd6179916, 0x16aef5b0, 0x7b20be8d, 0xc347b88f, 0x2c46bb10, 0x1509b53b, 0xef7ae373, 0x51268296,
+    0xf7cd3b5a, 0x7935b414, 0x2ae52594, 0xbdb1f188, 0x6d0d7ab6, 0x694baed8, 0xfeca8e0e, 0x09ea2c84,
+    0xd8b5b835, 0x4ff36751, 0xccaa5d40, 0xc27c5317, 0x9b670ba1, 0x434b6ee9, 0x57a8151d, 0x07d418d2,
+    0x27784527, 0x5bc727d3, 0xe3773772, 0xb6967a10, 0x39befb16, 0x56cd10a3, 0x5b71a326, 0x12bd0335,
+    0xdf9af133, 0x6b41bc25, 0x64ba34e7, 0x363baddc, 0x4cd81ca8, 0x28275057, 0xb436fc37, 0x69ae3000,
+    0xb050e1ff, 0xe42e513b, 0x00a787e2, 0x38610360, 0x0033a3f2, 0xa7a1b638, 0x249747c0, 0x7868b736,
+    0xba117968, 0x7e4dc7ce, 0x0bc7a401, 0x96fb2976, 0xe1106058, 0x3692aab4, 0x84f7596d, 0x51494dbf,
+    0xbb630560, 0xc4b22349, 0x5049838c, 0xad7f8a85, 0xafe82e58, 0x88373cba, 0xabee0272, 0x5419c42a,
+    0xee32c11f, 0x17a0d578, 0xb61fb958, 0xf343a94d, 0x4b577a14, 0xba4a7499, 0xc587cdd2, 0xe2b3ce33,
+    0xe6ef9162, 0xba169fba, 0x2c8257b6, 0x3ed659bd, 0xe20c5479, 0xb98df2b3, 0x6a45bfd9, 0xca52f4cd,
+    0x7a4e129b, 0x76264ac0, 0x63c74bde, 0xa8b007f6, 0xb1c4e5b6, 0x3908c73e, 0x3dacc138, 0x5f70967e,
+    0x24c7b057, 0x86feb628, 0x98d1d0fa, 0xa6bb3c52, 0xeafe8534, 0xb1a0543b, 0x66c61ea3, 0xe8000bed,
+    0xb4993cef, 0x865a3af7, 0xe73ba5fc, 0x3ea319cc, 0xa664a94f, 0xc63b53c4, 0x9135d9a7, 0x01d3e7ce,
+    0xd7b9e247, 0xb95c9617, 0xba08b8f8, 0xe717d823, 0xa4f6b326, 0x0755d1bf, 0x70d74cd3, 0xa69080be,
+    0x7a864507, 0x6511bc2d, 0xfbb2cbe8, 0x03e40f2c, 0x9d34137f, 0xf24280d5, 0xb4ba632a, 0xef580aff,
+    0x36b9cd30, 0x3642c852, 0xe9269b38, 0xb260c45d, 0xfb80ca2a, 0xf024e2d7, 0xd0cecc35, 0x03db30f8,
+    0x14a72caf, 0xb2be3a1d, 0x9e328c12, 0x2f283417, 0xd6664257, 0x00e322c6, 0x3d9811bc, 0x17dd6864,
+    0x80a3baf8, 0xf54fe8a9, 0x0da1b5eb, 0xf1641c73, 0x6798a5c8, 0xd9ebc21e, 0xb081bc61, 0xa7c555bb,
+    0x7f9c0d05, 0x8052e1ef, 0x22484d12, 0xf32e77ae, 0x1c0c8a19, 0xf059431e, 0x2463b257, 0x46b3c82c,
+    0xba6a961a, 0x21d5fdb4, 0x6ee384bf, 0xd9958033, 0x1b38d103, 0xb8b79fcc, 0xec7425af, 0x88db6382,
+    0xc276eaf3, 0x4542433b, 0xee8bba33, 0x25555115, 0xfc2109be, 0x75bebf22, 0xe5a85719, 0xacd21f2c,
+    0xb71aa1e8, 0xfac9f718, 0x9036e878, 0xed6a4d22, 0x3492b4b4, 0xc81c8a3a, 0xabf5581e, 0x807b0bbd,
+    0xe7da0640, 0x497db439, 0x0844d016, 0x5e0b063d, 0xe6a2a2b6, 0xeafadeb4, 0xf9184f19, 0x3b2ce082,
+    0xfd140e65, 0x6a94f21f, 0xd3cd6c04, 0x9f7b1771, 0x1c0ab4d4, 0x249e8e51, 0x12072cb2, 0xf6e5c0d5,
+    0x809c5960, 0xc35f9af7, 0x07433153, 0x2f645262, 0xd096668e, 0x4c4040c3, 0x0775f63b, 0xa9b10ca6,
+    0x71d753da, 0x16bd3860, 0x837b3fd8, 0x4ede2a01, 0x93ce8411, 0x2761d8ca, 0xd0c6ea15, 0x099e459b,
+    0xdf8140b8, 0x6ac9fed2, 0xc33a6e1b, 0x7a571dd6, 0x8b38324a, 0xa5befbe3, 0x20b5b3e9, 0xde778c15,
+    0x8dd5d85a, 0x1eb2d33c, 0x41eaa521, 0x1985966f, 0x86b20233, 0xfb99430c, 0x0ec585c1, 0x16138b0d,
+    0x0760a482, 0xf2be15ed, 0x1fd6b6fc, 0x99f66707, 0x6c8ce870, 0x1b01ca81, 0x635daec2, 0xe6ee73e7,
+    0xe0345d5a, 0x45cac7b6, 0xebdc16b4, 0xe5f2c309, 0x527763ff, 0xb738623f, 0x5f330eb1, 0x3671222d,
+    0xcf11638a, 0x9cadf519, 0x2fa0df46, 0x00274099, 0x7dea4135, 0xcbfcb48d, 0x551e5bb7, 0x09d9e1f7,
+    0xa0746999, 0xd9a1b7aa, 0x89faff33, 0x2a377501, 0xff7b640a, 0x93e3b112, 0x71ce928e, 0x0898fef6,
+    0x4e9fef0a, 0x4e454830, 0x7f087fbe, 0xcec1c3d3, 0x5b02f4ea, 0x5af4b55f, 0xe2232c89, 0x1b0218ed,
+    0xea96f626, 0x29f7a307, 0x5cc00d31, 0x0b988d63, 0xba9a24fa, 0x80f7bb4a, 0x79b599c2, 0xa0f462fb,
+    0x00000000,
+    0xc5c1db40, 0x21622ae0, 0x62f99af0, 0x7f7d187a, 0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024,
+    0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000089589789687112168422297691\
+                          22273777112486581988938598139599956403855167484720643781523509973086428463104 */
+  { 0x00000000,
+    0xce01916d, 0xdc8015ab, 0x9769ea5d, 0xc713376e, 0x513c2eeb, 0x8d0ceb74, 0x71f672bd, 0xd0fd89a0,
+    0xfe9db92f, 0x31ced247, 0x6e2c0807, 0xc4420ca8, 0x7ffcb4e6, 0x8e37e010, 0xb65eb561, 0xca51ea83,
+    0x61859adf, 0x88dd3c53, 0x00a6924d, 0x12fcd454, 0x18277049, 0x570d7974, 0xc0419421, 0x36d7a9f0,
+    0x93c29548, 0x84bf70e8, 0xd230a231, 0x3de5a6f8, 0xff0f71f4, 0x74ab126f, 0x4d925c8b, 0xc257fbf0,
+    0xe0414571, 0x7ad657b3, 0xe9eab4be, 0x69fd18bf, 0xc7569c4d, 0x1fd39947, 0xbfb59882, 0xcd872289,
+    0xd8eedcc9, 0xbca9c769, 0x4d068ff0, 0x60865fa4, 0x68f8f6c7, 0x8aa456c2, 0x9be4f37a, 0x230daef1,
+    0x68baa743, 0x3c194e0b, 0xd7ee0a69, 0x84b557d9, 0xf92c7961, 0x79fd7b43, 0xd6b27d8b, 0x0931cde3,
+    0x99515a36, 0x2ee366e7, 0x535037d1, 0x857aab42, 0x7737b743, 0x79aa5cd9, 0xaf8571f7, 0xf4c4920e,
+    0xa5c829c2, 0xc5e11c4c, 0x13de0358, 0xd852a2ae, 0xa56f412a, 0x85ed50e5, 0x09da1043, 0x17e4f233,
+    0xf8ffc224, 0x1af1235c, 0xbb7930a0, 0x37a901d6, 0xa5c29c5d, 0x67689c2c, 0xcb78d940, 0xd7eebc75,
+    0x3b7309d9, 0xbe811f72, 0xf4ca69d1, 0x0a9d8504, 0xafc96029, 0x6abee588, 0xde0159d8, 0x9f402857,
+    0xef8e834b, 0xeed70db9, 0x22316991, 0x6c3c6ee2, 0xc35e0d46, 0x3a0c78fb, 0xc4f1a18b, 0xc316b325,
+    0x20660d57, 0x8c2673a1, 0xb1504e53, 0xe3f24c68, 0x4c02dba2, 0x6afb7ba4, 0x0daa0563, 0xba4d0757,
+    0xff46bce8, 0xf0e3396a, 0xa936afd2, 0xde5dbaed, 0x7d88f26c, 0x174555b1, 0x64939400, 0xe797a9f3,
+    0x19fd983e, 0x98e14c6f, 0xcb5b2138, 0x9cd29fc5, 0x06063b2f, 0xee1aa2e9, 0x25d36560, 0x12d9fbae,
+    0x7f9b7a1f, 0xd4ab7c51, 0x070fb9de, 0xa03fce94, 0x67e2bb64, 0x9fe4d312, 0x6ef26dbe, 0xfa999980,
+    0x1e46c337, 0xff0d2558, 0x50bae317, 0xd1d7cd77, 0x61f102df, 0xca71c6fa, 0x7301c1df, 0x267dbfca,
+    0x8578e9d4, 0x3b88a5ae, 0xdea3e332, 0x41510200, 0x7a1cf18f, 0xa20b32f8, 0x1db616ab, 0xa303afe9,
+    0x666e1cf6, 0x2cae5d7a, 0xbfe96265, 0x5b7136e0, 0x5f7a9211, 0x1f408e2c, 0x40d4833b, 0x593d571d,
+    0x0c5cec32, 0x50843b89, 0x42d6bf7b, 0x5bbaa0dc, 0x175d65c6, 0x6ebbfc51, 0xb9e67db6, 0x6ab5ddee,
+    0xa789316f, 0x81163deb, 0x2c9fc394, 0xba07c07d, 0x57584b49, 0x0806534e, 0x9a95a2e8, 0xc707686a,
+    0xf8ab2310, 0xdcdd986e, 0x63ab8bbf, 0x41cce12a, 0x78c92561, 0xbef46ba3, 0xac50f7ef, 0x7f3604f2,
+    0xbfcf93d2, 0xac948246, 0xdee90530, 0x55fe83b3, 0x10d625bb, 0x445f0d36, 0x5b933d63, 0xa9fa899d,
+    0x325da796, 0x779746ec, 0x514c268f, 0xee5f58aa, 0xa5d40914, 0x102d629a, 0xe3453be4, 0x570be875,
+    0x580819ae, 0x20268746, 0x9739cb58, 0x412731a6, 0xb0201b71, 0xca91a863, 0x33de53f3, 0xe5ced073,
+    0x0b885385, 0x6c15b760, 0x66aebbf0, 0xab75f6d9, 0x98ea23f6, 0xb2c7a212, 0xacd8cafc, 0x02582a51,
+    0xc5062dbf, 0x2329c25e, 0x8813d7a7, 0xf9931366, 0xa85e7228, 0xefb6b761, 0x645c8b6e, 0x8b9b55b0,
+    0x2060b907, 0xbe18015d, 0x2c25fe91, 0xea4b09f0, 0x483642b3, 0x8d372678, 0x0a58b4b5, 0x2cceed00,
+    0x30490a3b, 0x8c57c2a4, 0x31999e03, 0x7d6585d7, 0xd39f00f8, 0x638b4502, 0x94bbf6a5, 0x9cd85eba,
+    0x7775e9d8, 0xe50b94ab, 0xbd9eca6c, 0x5127e2fd, 0x698c2f3d, 0x8d249528, 0x4d909111, 0x31fc01d2,
+    0xf82f66af, 0x0f0731f4, 0x574c3433, 0xa50a34c0, 0x4a9cbe22, 0xd9795fdc, 0x838e2d58, 0x15d552ec,
+    0xcd0b7876, 0xdeb7f795, 0xb320ac9d, 0xb36f71cb, 0xc3a79fd8, 0xdb445c7b, 0xeaf96d22, 0xae2f365e,
+    0x3c458324, 0xaddd5494, 0xd5238a69, 0x88487079, 0x6d199628, 0x7e7b4c33, 0xaf2b8de6, 0x61928c51,
+    0xe9803c3c, 0x55ab17f4, 0xadb7880e, 0x5c0c2295, 0x3c5497de, 0x7bd6f334, 0x53612d8f, 0xd0bd82cf,
+    0xcf65f109, 0x6f0ba745, 0x9a248cfc, 0x42c87d13, 0x50efe41a, 0x4b92d2d0, 0x96ccaaaa, 0xee6a78cd,
+    0x63125cf7, 0xfcdbcec2, 0x441916d9, 0x836c12fa, 0x15d9c8eb, 0x2e99ef4b, 0xbfe00df0, 0xeb2b7067,
+    0xe6bdad30, 0x046f2bc6, 0x42d89516, 0x7106d0a9, 0xdaa2fd88, 0xd11c29bf, 0x34cdf85e, 0x42394ae6,
+    0x31dfb1f1, 0xb73d5c55, 0x8aa3444d, 0xf7d3f44c, 0xa6161246, 0xe3f1ad55, 0x4fa4d7cf, 0xb7805c25,
+    0x6a84fec7, 0x7cca1429, 0x1dccdaa6, 0x6c0e9724, 0x6bf9b9d0, 0xcf94e915, 0xc4ffa8eb, 0xb391a3b1,
+    0x87cd1acb, 0x97e683cf, 0x0f91b937, 0xbae117b4, 0x914467e0, 0x74ebb1cf, 0x1779f9a2, 0xd206a0ca,
+    0x86013c12, 0x4c46d5f8, 0x96c0b149, 0x1e9486d5, 0x441fa55f, 0x307ea917, 0x670fd2df, 0x2c7e9976,
+    0xae016a75, 0x1b449878, 0xa3039fb3, 0xf4c0c60e, 0x3386b626, 0x79108acd, 0xd23af33d, 0x56189f2d,
+    0x16a23b99, 0x0bbca315, 0x37dbb3b3, 0xdbc61a78, 0xfd8a447d, 0x1b18d29b, 0x8b75a742, 0x7aeabf67,
+    0x418c84e7, 0x078270dc, 0x3cfd40aa, 0x65752da9, 0x98058959, 0x0eaa6689, 0xe08b4e34, 0x1f5344f1,
+    0x9558ad02, 0x8b1b4f83, 0xbea42d61, 0xb69df0b2, 0x4d2c636f, 0xe1003f26, 0x1479a53d, 0x5a16a895,
+    0xcad68f97, 0x9b53eb1d, 0x55006bde, 0x16c9fe69, 0x5232e93a, 0x685849b0, 0xa87fdc25, 0x559f35af,
+    0xf9b13edb, 0x173d96c7, 0x81ffdb02, 0x60e487f9, 0x221801a9, 0xe044dd47, 0x5965bb73, 0xe5422358,
+    0x450158b6, 0x1e49c4da, 0x41698cb3, 0x62a0887b, 0x2b3a98ac, 0x9f59d514, 0x7d37f721, 0xa0cd9bfd,
+    0xf94fb897, 0x6008163a, 0x90d1378e, 0xbeac3229, 0x9064a36a, 0x6aef7793, 0xfb1a1d44, 0x4de7e6f0,
+    0x35171e05, 0x0b0d08c0, 0x3f860bc8, 0x3de70e8f, 0xf26a366c, 0xc6ad62d9, 0xb8947556, 0xb342118b,
+    0x1a9820e2, 0x90e93e7d, 0x01fe9fd1, 0xdfd95bbc, 0x137de88f, 0xb4f9d55b, 0x7dc5003c, 0xbcdb8f6a,
+    0x2c651dfc, 0x637fc2e4, 0xad528275, 0x2a3b618b, 0xf84f1bd2, 0x22b225ee, 0x47e1e4d6, 0x34db98ea,
+    0xf2f09056, 0x73fac72d, 0xcede7265, 0x44e3e48e, 0x8b9a5d43, 0xabf58c2d, 0x267a3da4, 0x671d9a06,
+    0x7bbca36a, 0x6e57b740, 0x69626851, 0x13e65be8, 0xa5774c1e, 0x3e6177c9, 0x10c41430, 0xbf3cbdb1,
+    0xdb912dde, 0xaff040ad, 0xdf785ea2, 0x043208e1, 0x615c923a, 0xdcda962a, 0xc607f33f, 0x914092e5,
+    0x493d8835, 0x09c1dfdc, 0x38038dea, 0x948a5ae7, 0x2f252714, 0x2c4aa13a, 0x9f1778ae, 0x3e603041,
+    0xa9ea9cb9, 0xe734eaa4, 0xb9599caa, 0x7e79bf80, 0x61c98266, 0x09b123a2, 0x218f8ea0, 0x08c45504,
+    0x16bb9e3c, 0xdddfdc73, 0x60696b78, 0x84eada5c, 0x1019a0a2, 0x7c8a6f28, 0x18e7b0c5, 0x839e163a,
+    0xd6802978, 0x0ab8216b, 0x6b177168, 0x2ec8b72c, 0xe9e113c8, 0x001a95f0, 0xe9da271c, 0xa49cb2dd,
+    0x1eb10ef7, 0xc889938e, 0x95413025, 0x0865c079, 0x0070a6df, 0x29e2a6ca, 0x998114a2, 0x1665001c,
+    0x43223ef6, 0x2f71e4b6, 0x4c38cc51, 0x4b665d6b, 0x3d05375f, 0xd41c371f, 0x3f2e6f97, 0xeedf415f,
+    0xf80e9f8a, 0xb3b3e112, 0x9ca3fc8a, 0x743f5772, 0xec0d2ba7, 0xe0ac71ee, 0x33716db3, 0x17fe1173,
+    0xcab5609f, 0x03c8dbbd, 0x8a8eeb14, 0x32216ce4, 0x41bc399e, 0x938f835c, 0xeb71d24f, 0xd6904e2c,
+    0xd7b19d0b, 0xc579e25d, 0xec627e34, 0x798d15ae, 0x317bb7cb, 0xd42b9f0c, 0x4e2728c5, 0x4a9c9ed5,
+    0x04f202c1, 0x1d33d81e, 0x09064db3, 0xbe7b7a0b, 0x91269e66, 0xd884df83, 0xab8219eb, 0xe65fbcb8,
+    0xff1ce25a, 0xb7a1cb66, 0xeb41d79b, 0x1a574f7e, 0x148345eb, 0x133ddaad, 0xcc36fda5, 0xc997dd0e,
+    0xec52a991, 0xeb07286e, 0x9c6b523b, 0x6085c872, 0x08dfda09, 0x3a6a41ca, 0x2d6bee2d, 0x5c05480b,
+    0x38f4f84d, 0x1a0bbf60, 0xcfe23455, 0x970478ea, 0x175c2d38, 0x0607a2e3, 0xe94ea9d0, 0xb50fa1c0,
+    0xc18557d6, 0x08ddc04c, 0x3757e132, 0x9896823a, 0xe3006971, 0xb02cbec7, 0xc5b264d8, 0x4d4ae235,
+    0x12e226d0, 0xef4ff15a, 0xd67f3ac9, 0x22f96ee9, 0xfcfac1bc, 0x89d6caa2, 0x1bd32d94, 0x9e7cf123,
+    0x9a9f7fa0, 0x048e5957, 0xcd1f08ef, 0x5eab945f, 0xe0a46d79, 0xf38793ba, 0x9906a369, 0x9f54fd2d,
+    0xd0a87ad5, 0x45ca1f06, 0xdc6d8451, 0x8a6b98b8, 0x8d1d0ff2, 0x057ae86d, 0xeef4b620, 0x7bb4a592,
+    0x050ab612, 0x771b5110, 0x55f4155b, 0xb59f02ef, 0xc2e813d8, 0x909019af, 0xde16dd02, 0xc3ccd748,
+    0x4f0ced20, 0xb690a769, 0xf51bd850, 0x20082010, 0xeeb8779f, 0x372e3299, 0x8d0eecaa, 0x8dc73748,
+    0x044d73e0, 0x600c5608, 0xb6e99351, 0x9a7720d4, 0x0e9dde2a, 0x61678dbb, 0x9e7c2f38, 0x02044731,
+    0x98064f0c, 0x1ee39f0e, 0xba4b7fdb, 0x9e62c799, 0xc101afe8, 0x09fc13d0, 0x6874c56d, 0xe76563fb,
+    0xaa4a041b, 0x0c798a3f, 0x075b32bb, 0xafd18802, 0xf24c41c6, 0xc0bac49e, 0xbbd40e47, 0x7e81a721,
+    0xdd2e3853, 0xca31dea3, 0x33a8db1a, 0x09ecc659, 0x10a3ae91, 0x73d2d824, 0x79d0bda1, 0x928bc987,
+    0xb2ce5961, 0xc8fdf8c4, 0x5b4de386, 0x023fb12d, 0x67506e9c, 0xba1e2f4c, 0xe969ef18, 0x22ff60f7,
+    0x0ca29e98, 0x14b3694c, 0x21e7be65, 0xb371a781, 0xec0dccfe, 0x0356fadf, 0xcd408c04, 0xec590659,
+    0x14c56e2f, 0x9239271b, 0x76ed072d, 0x6131f350, 0x6cd1e349, 0xd8961ea4, 0xb3a9c2bb, 0x177cc55d,
+    0x465ba1f8, 0x78aaf5f6, 0xb7fe39b0, 0xaf1b6756, 0x05e3f791, 0x517119be, 0x9a7abb23, 0xd2063903,
+    0x4ec8b34f, 0x7fe9d22b, 0xf87c3206, 0x84dcae84, 0x6a0f919e, 0x6bb99a33, 0x8cd3c446, 0x6a71505a,
+    0x81fa030f, 0x2666091b, 0x92b56523, 0x59bd5f63, 0xcea7b3db, 0x00fd1097, 0x5ccd962e, 0x301a042d,
+    0x9a0eab64, 0xd6bb03a1, 0x61f45969, 0xffa19e16, 0xbdf4b033, 0xf8d9f177, 0xcb0846ce, 0x8886a14e,
+    0xae383003, 0x7e271b9f, 0xafaf3bbb, 0x694728bc, 0x4285893b, 0xc0c828bd, 0x0a58bcc1, 0x10e9fc2b,
+    0x8b478825, 0xba657e13, 0x7df451ca, 0x8307f1d7, 0x05b6f884, 0xcd21f9b8, 0x615eaa62, 0x9501ab01,
+    0x717cb22f, 0x53f9721e, 0xa686a5a7, 0x1c1b4d4e, 0x4868dfbf, 0xec0af9d7, 0x4c264906, 0xb04896ac,
+    0x6d28a104, 0xfbdc9ac9, 0xb343cddf, 0x141f8fd5, 0xd305fa88, 0xc3e3b807, 0xd95f0c5f, 0x96e87123,
+    0x10cf5c3c, 0x4816ca0d, 0x89b2b0be, 0x8f976bf8, 0x0c2456d0, 0xc9a9bdc6, 0x7ec4d3ee, 0x5601218f,
+    0xa34dd5f1, 0x87a2e9bd, 0x49ab1b19, 0x0c82f442, 0xad7c0fb8, 0x832c14e2, 0x8c899cb3, 0x435451e3,
+    0x93a69abe, 0xc4b28def, 0x0f5ec874, 0xa0ae33c9, 0xf7dbee56, 0x07444221, 0xe1c707d4, 0x2f5b689c,
+    0xd5b760d1, 0xe0f96417, 0x6005f62d, 0xe78a659d, 0x36265f37, 0x4a268d45, 0x2d65cc61, 0xa219c993,
+    0x44613b7f, 0x1b5386bb, 0xc157bcd6, 0x423fa983, 0xc9da92b1, 0xb5db3a84, 0xc68d905b, 0x4f4cb45c,
+    0xc0c71941, 0x952f6ff5, 0x0d8b74e1, 0x08047538, 0x2d34db66, 0x67031c49, 0xb245a287, 0xab8ba5fd,
+    0xacb6f574, 0x3fff8b30, 0x22861ca6, 0xdf46d964, 0xa133b229, 0x2591a5de, 0x26c3d241, 0x5dc0db2b,
+    0xebf5d707, 0x5f21c88d, 0xd4f22546, 0xf7e69ab6, 0x69d67ea3, 0xd5c254eb, 0x39f6d639, 0x452f138e,
+    0xb3cb9706, 0x645bc830, 0xea6ac68e, 0xb7216bfc, 0x910c5a76, 0xef9063fd, 0x21e2ac09, 0x253ac632,
+    0x94097c5c, 0x9b40662d, 0xe1145637, 0xbe53e618, 0xb898723a, 0x0950596a, 0x2a5dcd97, 0xf583ca36,
+    0x1c4cbebf, 0xbf832289, 0x674bbcf1, 0x2e77a7c3, 0x3d34a385, 0x21c39b64, 0x831e0cf4, 0xf69664c2,
+    0x6e932dfd, 0xaf497506, 0x3df8e5db, 0xeb5ce0c4, 0x94905214, 0xeb484eb1, 0x1c53c644, 0x6a5dd7a0,
+    0x8d3f6fe2, 0xf7cda713, 0xeaca96c7, 0x94bc8e72, 0xe7222332, 0x9c5d86c1, 0xc56e99f5, 0xa0251e63,
+    0x1f2a4c5e, 0x1aa10628, 0xf0d18de8, 0x877ed4d5, 0x987c457a, 0xe3f41180, 0x6a986ee2, 0xa9036b63,
+    0x55b779ff, 0x70670b12, 0xc74981d2, 0x6ca59132, 0x48ad4aa0, 0x8179458b, 0xe9a266cf, 0x9fd2d29a,
+    0xe1352152, 0x8a7eb125, 0xd620c4dc, 0xc2cefbd9, 0x51d05315, 0xeaa0c002, 0x31e5f147, 0x631aedc5,
+    0xebef40bb, 0x288df5ac, 0x411f9b86, 0xc158f990, 0xf832cba6, 0xbb23837c, 0x90876588, 0x3f89fd38,
+    0x49793911, 0x51ccda2f, 0x26d0c862, 0x6b45d6db, 0xc803b03e, 0xefd5e0bc, 0xd3340753, 0xf168e5e6,
+    0x0ace5957, 0x5cf4a6ab, 0xef1bcdca, 0x11c55da9, 0x01023df6, 0x02078542, 0x19546ec7, 0x1367dc36,
+    0xae8b46e3, 0x8d87c261, 0xe38a9036, 0x3eae1f6b, 0x7b115460, 0xd71ede43, 0xe29ca5e2, 0x319b3b2e,
+    0xa7876608, 0x073e9983, 0xe7d6a97b, 0x578a0e67, 0x533580f0, 0x515336e8, 0x6f81f834, 0x335bc735,
+    0x852e1ec2, 0x8999f017, 0x673bfe55, 0x9a537a39, 0x5e456190, 0x9a27666e, 0x8a05cbc3, 0xf3b757c9,
+    0x0b425b58, 0x52996d6a, 0x0788244b, 0xe3777bba, 0x9257f800, 0x28297071, 0x3d84042f, 0xefc56c99,
+    0x847d13f8, 0x308299d4, 0xa1dc8433, 0x7650d663, 0xdcc53531, 0x943c9df5, 0xd723e630, 0x8c464f56,
+    0x09b0a52f, 0xea8f8d0a, 0xb402b169, 0x0ea75f63, 0xc27772a5, 0x033e6450, 0x72518c40, 0xb90912eb,
+    0x6a56494e, 0x83767bb9, 0x6a714372, 0xd7b9cd51, 0x32663ca4, 0xdee77c10, 0x1119263b, 0x3b3358bc,
+    0x2ab9087b, 0x2f0936df, 0x409b3932, 0xa8573dda, 0xbb20db3a, 0x6a76b0f1, 0xa8f3a5a2, 0x81656575,
+    0x8ae87cc7, 0x8cdfe5c7, 0x36f6e651, 0xb64e4654, 0xfdffbd4d, 0x8003deb0, 0xb3d8659a, 0x4782591c,
+    0x2b019b02, 0x2a839b88, 0x1ce90c55, 0x9db59dcb, 0x65fbe277, 0x77fc4209, 0x90114f85, 0x4e6a0469,
+    0xc5f15961, 0xc40a46c7, 0x8c4da8e9, 0xca0aa96a, 0x091d6bb2, 0xc0d44647, 0xdfccd469, 0x3bee72ff,
+    0x3bd8e0cd, 0xb804a05e, 0x903b87db, 0x972dd879, 0x56f09e6c, 0x5b25c4cd, 0x0dc5ec00, 0x9dc3511c,
+    0x8a9890fc, 0xa7b7262e, 0xa8d778a1, 0x8a2ff296, 0xbf1ae754, 0x765bc2dc, 0x49eee8fc, 0xe2355692,
+    0x52b2cf5b, 0x1fe0cd7d, 0xf97cde2a, 0x8844ae99, 0xef7067dc, 0xc90d04cc, 0xde4a446f, 0x88358d94,
+    0x4d21ddc2, 0x74551036, 0x9a50cfc4, 0xd7759310, 0x5ec45797, 0xa8cd8eb9, 0x62794ecf, 0xbcab42b6,
+    0x875aa5fd, 0x9a587bff, 0x1bc51974, 0x5b5c501a, 0xc9256e19, 0x24fff32c, 0xcad04c37, 0x7e37ae53,
+    0x1a1ee249, 0x89c741f1, 0x324653b2, 0xad7c328e, 0x77974322, 0x0cebcb6c, 0x8d965f4c, 0x7cc65012,
+    0x481c85b5, 0x6d8100f1, 0x22b8cc6c, 0x2296cfc2, 0xeb7476a3, 0x7a93bdec, 0x4dcb6d97, 0xcafd174c,
+    0x00000000,
+    0x62e0ed9f, 0x10b11570, 0x317ccd78, 0xbfbe8c3d, 0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812,
+    0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000044794894843556084211148845\
+                          61136888556243290994469299069799978201927583742360321890761754986543214231552 */
+  { 0x00000000,
+    0x2b7e3c15, 0x9b8df785, 0xb144305f, 0xf4a3a960, 0x96ed36e0, 0xa5a7759d, 0xb4c8122a, 0x216bf440,
+    0x12075340, 0x761edf56, 0x6baff785, 0x70d45970, 0x316d4c07, 0xc4572a90, 0x9715f40b, 0xa444e219,
+    0x902684a9, 0xe873b0d2, 0x28c7b333, 0x9145b067, 0xa580ec00, 0x8d4741db, 0x51471380, 0xaf283da1,
+    0x3b105dc4, 0x8c97ebc9, 0x57965674, 0x5ffafa5b, 0xb2505285, 0xee22e759, 0x57dc165a, 0xde6a4e08,
+    0x436ac121, 0xb48c7e31, 0x07c26b43, 0xfaa2be3d, 0x54c1185c, 0x51e625b0, 0xd64baba1, 0x12a9bae8,
+    0xb79af614, 0x09ed9017, 0x9a6e5442, 0xc1e95663, 0x3d908dfd, 0x10674499, 0x0ac56e5b, 0xf4b559be,
+    0x3821007c, 0x3c1f2c2c, 0xeebeba0c, 0x4b5b5339, 0xf535d222, 0x621e1081, 0x1a13c4b8, 0xfa6d6a6a,
+    0x4f805192, 0xc99ce17f, 0xdecced0a, 0x8e724019, 0x563af8d7, 0x9e6a688c, 0x5952c2f4, 0x6ac93025,
+    0xd3d8fe4b, 0x8e2f44b0, 0xec10face, 0x9c94c6a8, 0x3558b15f, 0xfaf1aa98, 0x10429578, 0x9fd301d4,
+    0x8cbec76a, 0xe248030b, 0x410e3497, 0x9cfc5cb8, 0xc57726fa, 0xee43aa73, 0x8ab2f27a, 0x2881c3a0,
+    0xe2209949, 0x38a043ed, 0x0cbdf515, 0xce0660e6, 0x8fe65868, 0x30f7df55, 0x3a5bfdb0, 0x368b4891,
+    0x5752fca9, 0x97d32b65, 0x0a596db1, 0x774ad1af, 0xabcd1fcf, 0x761dc45a, 0xfda6ec12, 0x5b8a3940,
+    0x7c7fbbc7, 0xd6924ac5, 0xaf766c9f, 0x2dd6a4b6, 0xb6285700, 0x5bde4041, 0x74834a51, 0x1a70fb11,
+    0x0486f232, 0xc757774b, 0x4925b2a1, 0x31181d3c, 0x3f8a233e, 0x3c5b2108, 0x05bc5547, 0xc35d7db5,
+    0xe4cf0937, 0x5b7b59c5, 0xbe155964, 0x00936b9b, 0x2492d609, 0xe6c30c0c, 0xed9cb1dc, 0x7ea583fd,
+    0x621c7a76, 0x9fafd570, 0x0824519e, 0x5bc7efea, 0x24c958f1, 0x4124d96f, 0x8c300a7c, 0xc98f139f,
+    0x3f071d0b, 0x286a3e79, 0x5107cbac, 0x37f8b4e1, 0x8f70f9b4, 0xfce2e6b7, 0xfe4a4539, 0xaa699bed,
+    0xdf495cf0, 0x39fa7e42, 0xaae0885f, 0x304c371c, 0x6196b450, 0xfd3bb6fe, 0x6e669039, 0x21598c64,
+    0x349835cb, 0x0edb6d79, 0xe42ea4bd, 0x43f5e420, 0xbc5943c6, 0x19a9489b, 0xe915f74a, 0xecb55ce6,
+    0x2d330182, 0x8e76555f, 0x9765f4a7, 0xc983e536, 0xabd9855b, 0x7b52d849, 0x7c88a705, 0x7f2c2e4b,
+    0x2ac2d531, 0x0774577d, 0xf41f1a8d, 0x6ddc89a9, 0x3c4d50ba, 0x923acc16, 0xb2480bcc, 0x05cb5e90,
+    0x4424f7f8, 0xff1ed686, 0x5fae8de6, 0xf5f7aa0e, 0xf3842875, 0x5050c321, 0xa37a35e7, 0x93681e09,
+    0xae36ac5e, 0x301983a4, 0xfbb19c96, 0x613a7b94, 0xf172e3d5, 0x63e7b6c1, 0x3137ed55, 0xcd030621,
+    0x5dd99bf4, 0x118c4748, 0x733ceba9, 0x9b53093c, 0x2d845810, 0x4eb0b474, 0x5573d3db, 0x5da62498,
+    0x4a6b5572, 0xb7272113, 0x6f3b1975, 0x5a5518c9, 0xa4153e7c, 0xc33cbd47, 0x00dc51ab, 0x78871055,
+    0x3c4b1420, 0x5d62c0c6, 0xcc7da4b4, 0xf6d96b9b, 0xdba3c4d9, 0xded37f56, 0x957675b0, 0xdbcd6a77,
+    0x0e60a5ab, 0xf1a6ca60, 0xb86eff05, 0x5f99955b, 0x8850446f, 0xf5c7501a, 0x8d250732, 0x57ffbff4,
+    0x37a42a17, 0x00be94d5, 0xbc18b463, 0xae67db86, 0x7331f948, 0x099dc09d, 0x5f6d0270, 0x5d47973e,
+    0x478be23e, 0xfbd8cb98, 0x0475c3de, 0x92edba81, 0xf381c833, 0x9402aeb6, 0xf4e02145, 0x48b1e459,
+    0xb4a9e14a, 0x74b5ef00, 0x3f5be2bd, 0x24374ff7, 0xa8dfd077, 0x9b591e3b, 0x0f04d01c, 0xf2dca708,
+    0x68a29129, 0xafab5e93, 0xe5858fb0, 0x281d4e55, 0x8030a44d, 0x9e975441, 0xc4752cfe, 0x0f0a72b2,
+    0xefb72f58, 0x42a9a0f9, 0x00d97e12, 0xee2f45b2, 0x781d9370, 0x8581c2a1, 0x845e3809, 0x17082a7b,
+    0x3f32b894, 0x3a8408bd, 0x0f872cf9, 0xf8d15c94, 0x061ce009, 0xaad9cef6, 0xa0f02492, 0xcb9116a8,
+    0x899e2143, 0xde3d4581, 0xf74fd853, 0xd35ac84f, 0xc94a6205, 0xde15d2db, 0x4d0ea6ab, 0x878e07fc,
+    0x875c5972, 0xd3c27929, 0x72c8cbde, 0xf3e5a5b7, 0x0cdb4092, 0x8e484eee, 0xb75301c5, 0x88fc1041,
+    0x5f7b0168, 0xea143fc4, 0x3813a834, 0xa9760d35, 0x58c9b4fe, 0xe5e6fbf6, 0x8201f3a3, 0x475a0cbb,
+    0xb411a64d, 0xca526031, 0x6afadac1, 0xb4b1e576, 0x0235a0b7, 0xf6ab7fbe, 0x10c2d8a8, 0x60f8f009,
+    0xe86af53f, 0x416aea30, 0xbe16afd0, 0x9b61cc3a, 0x39c5ce34, 0x9ab1ec9c, 0x0e469430, 0x7219ba27,
+    0xca1d5cdf, 0xdaf8d060, 0x29c87aa3, 0x76534425, 0x5b3bc7ef, 0xfc9fabaf, 0xaca68626, 0xb647d374,
+    0x84b03889, 0x3fa3ef9d, 0xf9ee2d5c, 0xb1d4e5ba, 0x9128cee5, 0xa62b8986, 0xba562347, 0xe5c73c26,
+    0x0f41aed9, 0x7e4ef99e, 0x7f57d028, 0xaede8bd3, 0xbf359831, 0xac91752b, 0x87b8a11a, 0x729e9153,
+    0xbdd9aa96, 0xa33b994b, 0x86c7fce4, 0xfb18b398, 0x269cf67c, 0xa4745776, 0x1a35af9f, 0xab096d13,
+    0x93da55c5, 0x2248fed3, 0x8f1e120f, 0x057e48c8, 0x489055a3, 0x2d0e5cff, 0x0b4798a4, 0xc54848a9,
+    0xb90fa68a, 0xd229f013, 0xe88f039b, 0xdc03a3dd, 0x289cf5a8, 0xf1609510, 0x98552a00, 0x48b78eee,
+    0x6098c35a, 0x31d766a1, 0x3bb46e68, 0x7ec40648, 0xc9fbae33, 0xa0ac0063, 0xa90a9ddc, 0x3cca7d7c,
+    0x7e065223, 0x6bf431d4, 0x476cdef7, 0x9338c1f9, 0x9ab1a9d1, 0xd08af782, 0x511a87cd, 0x24a541f1,
+    0x0afa89ce, 0x00aee011, 0x05cb307e, 0x267dcb77, 0x200b074f, 0x517523a6, 0xc73b0406, 0x0053ff18,
+    0x2c110d75, 0xf3c5b10c, 0xbe36d117, 0xc25589fd, 0x86a62147, 0x6e924967, 0x4b8147ce, 0x0fef7220,
+    0xd3748a0b, 0x16602199, 0x9aff581b, 0xd1b7791a, 0x54c1e435, 0x1ef0dbfb, 0xd4d763d2, 0x2fafed33,
+    0x3726b624, 0xaf608ab1, 0x41fe271f, 0x67ce7eff, 0xa0a8bb4e, 0x42a52d46, 0xb78b1a36, 0xc4fdc704,
+    0xad62cf52, 0xf73ee2b7, 0xb461d490, 0x361eb8fa, 0x3b2d8609, 0xbebd62cf, 0x0c2abaaf, 0xa7a5ade8,
+    0xe5087bec, 0xa6ae9cad, 0x363484bb, 0x27b9ecb9, 0x97462357, 0xbd767ea0, 0x5083b2c5, 0xef6a01e3,
+    0xf5bc7752, 0xef6eb53c, 0xa52a36d3, 0x88823329, 0xda599fcf, 0x501802bf, 0xf84a3159, 0x2ac8fc34,
+    0xefb9b1e8, 0x82e6c68e, 0x1bc03389, 0x9b85343a, 0xf544bf65, 0x740cc578, 0x3c165ece, 0xf8e9eb73,
+    0x2547708d, 0x1bbfabfd, 0x1c2f3eb9, 0x823c0d98, 0x9e1d8b51, 0xe4a2a5ac, 0x502357c0, 0xca427580,
+    0x8771e913, 0xc0f5ae90, 0x7bfe37d3, 0x467b27cf, 0x424f9cb8, 0x9614de20, 0x4a4ef5ff, 0xa6de5af9,
+    0xb4dd6993, 0x74caee5c, 0xed5b6f02, 0x486a1834, 0x2c992816, 0x3150f9c0, 0xe2f0045b, 0x749ab117,
+    0x6c30f2a5, 0x19c0fcdf, 0x416d29ea, 0xcd014914, 0x38402e74, 0x48358a2d, 0x3fa0f2e7, 0xbd854c8e,
+    0xd0e0f304, 0xe704657f, 0x2095cfe1, 0x7f900113, 0x0fcff446, 0x1102ebf5, 0xb14e60c9, 0xef58a670,
+    0x001648ec, 0x26ec256c, 0x1f7c7d48, 0x103eb2ef, 0xa0c762ef, 0xdad9e484, 0x84fb5ac7, 0x3bbb5efa,
+    0xa9440e23, 0xf91cb130, 0x8eafe01c, 0x96c8d8b4, 0x3811042e, 0xb55f29ff, 0x0ea9da30, 0x33aceae1,
+    0x80e87c1b, 0xe150f84b, 0xd714347a, 0x7819f4b4, 0x597cef09, 0xfd18e321, 0xb733f1a2, 0x135e8239,
+    0xfebca3de, 0xa98b7747, 0xe94a22cd, 0xaee494dc, 0x0ce39540, 0xff93c8ca, 0xc5865d7f, 0x8dc79bff,
+    0xa3dd2aee, 0x1f985ea7, 0xd2c46cca, 0xf947b9d2, 0x5073ac0b, 0x928193ae, 0x56785c87, 0x8941c42d,
+    0x55cae968, 0xe290fb0c, 0xe0ab5327, 0xde89507d, 0x84df2017, 0x1a9c832c, 0x2bbc70fb, 0x3a3c1728,
+    0x1ed3b81d, 0xc08b78bf, 0xbc1f6d13, 0xe52f9c70, 0xd6d18b49, 0x842a113d, 0x14345ca7, 0x5d7d9740,
+    0x9a53968b, 0x25795651, 0x3b1d374f, 0x54ff1146, 0xf4faa049, 0x347a48f4, 0x9d3902e9, 0x299ced60,
+    0xcb8fb13f, 0x33eebe62, 0x29357900, 0xe93b7dd2, 0xca27ebe7, 0xbfe5e79c, 0xdc60ee99, 0x650befa8,
+    0x9fb72b6c, 0x0082cf9c, 0xc8dc4e32, 0x609af799, 0xfa96a744, 0x363bf127, 0x3f2fe4c7, 0xca31e1a5,
+    0x53b64fc1, 0x4922260e, 0xb4c4bd1c, 0xb325c4f9, 0xd02f9080, 0xcfe4685e, 0xafca6dad, 0xa9e7f10f,
+    0xfcb54caa, 0x93f8e4d3, 0x9a21822e, 0xbcaa24c9, 0x2dde7856, 0x0fd5c615, 0xb2b028cf, 0xb55f38eb,
+    0x66d200a8, 0x8dd45184, 0xf6d5ee23, 0xd4901504, 0x4569dd93, 0xd60b14c2, 0xf325d2c1, 0xa697c9ac,
+    0xf5fbd2ac, 0xad098457, 0xf260b55b, 0xa3512536, 0xfba25632, 0xcda75343, 0x689d7aa4, 0x8e987e7a,
+    0x69189515, 0x7976d920, 0x5f35a6b8, 0xf078f8f3, 0x9cb18575, 0x606dd524, 0xce0737d2, 0xbb886ba2,
+    0xc187eac8, 0xbdaf48fd, 0xdc352360, 0x5bf36128, 0x84718832, 0x414d903a, 0x162a226a, 0xe6ac60d5,
+    0x9ed44f87, 0x59970dde, 0x767f16b1, 0xbc8b386c, 0xb8a051c6, 0xed0f76f8, 0x11a885e2, 0x50ebfb0e,
+    0x759f3791, 0xc4a13c96, 0x0b965e6c, 0x7727f479, 0x8e586546, 0xa17537e2, 0x9b2003ba, 0x5112862c,
+    0x6d285566, 0xd203069c, 0xfaf869a6, 0x00057a99, 0x923d5fdf, 0x18f9b4e7, 0x33a1fc2d, 0x674aca69,
+    0x77f8f0a0, 0x1741faeb, 0x49757163, 0x407e4f2f, 0x4b17cd0f, 0xf894bcb5, 0x32876a64, 0x36039186,
+    0x9a26cadc, 0x41d4370b, 0xd7956e24, 0x9dec40fd, 0xc68bb6ce, 0xf8f03214, 0xead535d8, 0x843b33ad,
+    0x7ca0988e, 0x5ae44a7b, 0x09ab9e98, 0xc3202f85, 0x1072c5c8, 0xa285ba4e, 0xefc24c43, 0x6d136000,
+    0x82011b40, 0x33787d82, 0x491ac894, 0xd42e77c3, 0xddf7cb4d, 0xcf7cde16, 0x8f385dc8, 0x6b8d7d5b,
+    0x783f9cc0, 0xe18ad836, 0x6c893b86, 0x38ffb9d4, 0x940ef2d0, 0x051f2827, 0x6b3aa731, 0x7c3c0f6f,
+    0x6ce3e373, 0xf66a037f, 0x0ef3c238, 0xbc447122, 0xef1e8016, 0x08efc10d, 0xe053891d, 0x9078e338,
+    0x820ecbe5, 0xa8c61a69, 0xf7c66064, 0x85ef1cef, 0x863d3e85, 0xe011a993, 0x4dd7d1d8, 0x4a25139f,
+    0x5d9fc9f8, 0x2cc72c05, 0xe09cdbe9, 0xccd55b69, 0xa8cfee06, 0xfbdeb76b, 0x36b53362, 0xd75432f1,
+    0xc2575acb, 0x3b4299d7, 0x97531166, 0xe15f9986, 0x2c1a2100, 0xe14a9d80, 0xf52db23b, 0x251cdf4b,
+    0x28685fb1, 0x3a9b300a, 0x8179a505, 0x073b183c, 0xa9d44322, 0x366c4da9, 0x6555f5e4, 0xb359db7c,
+    0x1abbc25b, 0x7246bab8, 0x7089dd40, 0xe9c6a140, 0x75f9fec0, 0x3dee3a12, 0x936ca4db, 0x932143f8,
+    0x58a3a99d, 0x52d6f997, 0xfcd1dd97, 0xe0fa7737, 0x856fb390, 0x9e3c50f2, 0x9f5bb611, 0x94c4b227,
+    0x6ff2f8a1, 0x1ef67aeb, 0x12192cbb, 0xa7982773, 0x4d7badc1, 0xb370b922, 0x61255e28, 0xbf2c2cae,
+    0x41e74572, 0xe905a1ec, 0x87cee307, 0x474aab5d, 0xc99e75b2, 0xbca9d2ab, 0x7e6a5942, 0xf07cd733,
+    0xf7d7f8df, 0x4daedc49, 0xeee267de, 0xd938a0db, 0x01e5005c, 0x540ce059, 0xc99438d7, 0x6f280724,
+    0x5f79bc1d, 0x1278321a, 0xade6a3ca, 0x3221ce67, 0x7f250c58, 0xc6ee4dd6, 0x35b91614, 0xe1d8ad68,
+    0xbd92ef7a, 0x658890a2, 0xb83805ba, 0x1c671f3f, 0x973ff95b, 0x3751e5ba, 0x1a905d2b, 0x76593b8e,
+    0xb1e254e2, 0xc997e86f, 0xfd98e314, 0x4c627a54, 0x3ddca786, 0xc9e9eda1, 0xb35453fc, 0x1314c28b,
+    0x3de3c63f, 0xabb9636d, 0x33710ae2, 0xb90934a2, 0x366ee926, 0x101960d4, 0x844a1728, 0xfd049106,
+    0x1feb522a, 0x34202593, 0x4b3cca0d, 0x356f5028, 0x2e0e4cce, 0x66139799, 0xee7079b0, 0x026fbf24,
+    0x472fda75, 0x9f5a9a08, 0x6fe7e7ac, 0xcc6e2a72, 0x6d50a40a, 0x8333246a, 0x0f1867b3, 0x397f79cb,
+    0x64b10f16, 0x94e2fe0b, 0xc2158b0d, 0x681f376b, 0x1439dccd, 0xaf8d92b3, 0xb0a2d76d, 0x0c70e2b4,
+    0xfe39f317, 0x2e9aebdc, 0x8802470f, 0xcf529b8e, 0x20af1572, 0x5429e453, 0xd558c620, 0x3403e93f,
+    0xea5679f5, 0x0bbe44db, 0x7dcdec52, 0x2e032de4, 0xfa776b74, 0xdfeb7417, 0xf09aa378, 0xc58b2198,
+    0x4865632c, 0xf82d30bd, 0x3349ce1f, 0xdd5b8afa, 0x8472c841, 0xe2b7d6ca, 0xa79d1e74, 0xf9b03990,
+    0xca811ad1, 0x7df00b8a, 0x7fd0d6f3, 0x3d3ddd19, 0x43b8fab1, 0xe567156a, 0xbd8ef42f, 0x4a4a68d4,
+    0xc391eef4, 0xbcaa2d51, 0xc48d21f8, 0x1f05fb82, 0xc89411af, 0xfa4631e8, 0xdfa6e2ab, 0x9834691b,
+    0x80d9b989, 0xb49d04f2, 0xc0aad898, 0x0dbe2682, 0x9868e9e8, 0x0c529de7, 0xdefd6fd0, 0xdfafbfc1,
+    0xf4fa8cb2, 0x33e8e795, 0xd7a308cd, 0x87ba09b7, 0xdeecce84, 0x40b2a305, 0x39e82e3e, 0x8468ae38,
+    0x68c3461a, 0x4e077588, 0x0c6f4d56, 0x620e2a7c, 0xd3b6d351, 0x6b5a6ec9, 0x71ed809f, 0x9036388b,
+    0x59fb0f3b, 0x6ccf3b61, 0xcdcdb965, 0x14e53404, 0x51c213ef, 0x0a7cc3a4, 0xa1566c90, 0x55a63a4f,
+    0x079e030c, 0xc7d19941, 0x7adf73c1, 0xf92a91e8, 0x9ad69f22, 0xbe5da7d8, 0xcc173965, 0x7cdb6f04,
+    0x64ade9ed, 0x973a9f1b, 0x147270ab, 0x7a50c6f7, 0xcb5dcc93, 0xa600990b, 0x04c3fa4a, 0x749a7bc0,
+    0xa2ea35bf, 0x6beaede9, 0x9e5d124f, 0x36ee404c, 0xe052c92f, 0x8cacfa31, 0x776b759e, 0xa9892c77,
+    0x27abc914, 0xf90f8969, 0xa8c9fa68, 0x05ec48c3, 0x3018002e, 0x5ced13f0, 0xcfc48920, 0x98a389d6,
+    0x06441827, 0xa2c44608, 0xdc337800, 0x3a2294e4, 0xc8bbdf7a, 0xb17c73b8, 0x439f473f, 0x2577a727,
+    0x9ce1c60e, 0x939a418b, 0xa7448a05, 0x3229cc72, 0xcfe7cef2, 0x77eb52cd, 0x416ff312, 0x6a2f7601,
+    0xf647e23e, 0x32894440, 0xb2e4c017, 0xf48e5b2f, 0x61b3d4df, 0xe6371016, 0x5469a5cb, 0x783a6ed7,
+    0xd9445c2b, 0xf65ded13, 0x59aacde2, 0xf90e5387, 0xeda6d45e, 0x9fd96131, 0xe27f5fdd, 0xed056929,
+    0x1e41a66e, 0x6d385db3, 0xde5d4cea, 0x853e8e7a, 0xdb674230, 0xf9c29ec7, 0x2dceca91, 0x8b9c5f1e,
+    0x9915c42e, 0x62a0b113, 0x16d5c61d, 0xbc4ccd7a, 0x4ca1cdf9, 0xa16a0fd9, 0x04f6a0e1, 0xa6b636c2,
+    0xe5867184, 0x5b25494c, 0xdbb5d4ba, 0xd2b8a608, 0x32f74f06, 0x0b65a5c2, 0x14f9b8d0, 0xbca9c85f,
+    0xc94eef29, 0xbb39ed14, 0xac8397c1, 0x8ab3b35b, 0xa8ea67ac, 0x195b1876, 0xa38fd342, 0xb0ef7d77,
+    0x8df61dfb, 0x0c61db95, 0x8d6b5a1e, 0x7da0b79c, 0x78061443, 0xc9444507, 0xf4329c49, 0x2e751e0a,
+    0x741970a6, 0x24b47b6d, 0x48e28252, 0x7b17382d, 0x1e86a701, 0xc2025c69, 0x9d96f466, 0x2eba7414,
+    0xc31e60bf, 0x2eb8c4fc, 0xf6ace99d, 0xbd8e2ed9, 0x54e16437, 0xbd725ebd, 0xcbba8951, 0xa433bfc4,
+    0xdffda9a5, 0xc3aab4c9, 0xa70cc08a, 0xfba1785f, 0xf91185b6, 0x2270f868, 0xd9122a48, 0x6d8cec72,
+    0xbd8359b1, 0xbbe35c74, 0xf7a16eca, 0x2f405625, 0x91d97cb7, 0x7e98af7e, 0xbe88aec3, 0xa130e6cd,
+    0x00000000,
+    0x317076cf, 0x08588ab8, 0x98be66bc, 0xdfdf461e, 0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409,
+    0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000022397447421778042105574422\
+                          80568444278121645497234649534899989100963791871180160945380877493271607115776 */
+  { 0x00000000,
+    0x80a64889, 0x171b6589, 0x6bdddb6e, 0x800f1524, 0x900e8cbd, 0x17d53cc2, 0x225b8518, 0x9ca2822d,
+    0x83ea3342, 0xb24ac145, 0x843203b9, 0xec10a543, 0xad349990, 0x4e890347, 0xa2dd4a61, 0x3f21f3f9,
+    0x7bcec2ac, 0xdc7f696b, 0x1f4307b5, 0x72ca8e14, 0x149affb1, 0x13a9e7c1, 0x64a05fa3, 0x48c93d60,
+    0x86509703, 0x31e96352, 0x04ace32c, 0x5ad8636f, 0xe7e77e65, 0x4b5a98e0, 0xaca4e9f9, 0x6ba7050d,
+    0xe8bc5b03, 0x64e10095, 0x2f2e8896, 0x1f269a93, 0x988d1a57, 0x5c35ab0b, 0x85fb2dd4, 0x4d046f8e,
+    0x2d664506, 0x4c9ea8d1, 0xd1377e88, 0xeeb33914, 0xbb77c6e4, 0x13c7c838, 0x623467d1, 0x4d17a81e,
+    0x89a2e9ab, 0x573f3423, 0xcc509ecf, 0x0a0edbd4, 0x90f44a89, 0xbbbd429d, 0xe0d6df96, 0x994f33cf,
+    0x7963a993, 0x58a3024a, 0x335f263c, 0x23b9fcff, 0x679951eb, 0x9e6c0296, 0x1a931377, 0x1501944e,
+    0xffeda54f, 0x10e726d4, 0x5c899079, 0x7570cbf3, 0x5723e3d5, 0x86fb1b68, 0x71ee01c0, 0xbdf37563,
+    0x00e6db8b, 0xd6622238, 0xcc930f16, 0x94af3c2d, 0x35d68d22, 0x9bb4ae28, 0x699d3c23, 0xd819283c,
+    0x0a8c4ae1, 0x50dcc022, 0xf74e91de, 0xaa898350, 0xa7fbc7ee, 0x157e4223, 0xc9b61b2e, 0x5e0f50ed,
+    0x9ea654f6, 0xdb313843, 0x2e176857, 0x579d984e, 0x88449cc9, 0x56545ee3, 0x8277c86a, 0x35363417,
+    0x64d8b81c, 0x5b4bff45, 0x967ad27e, 0xff03fa24, 0x2dfa5d7d, 0xcd5a4232, 0x1b50f6a4, 0x51acfa57,
+    0x8a2abd0e, 0xc2f56a3d, 0x05423b67, 0xe74be0ac, 0x5e689f13, 0x7330c038, 0x3685fb34, 0x27efe3e1,
+    0x92a8839a, 0xefe656f8, 0x10f7afee, 0x114e8127, 0xc2d1274a, 0x07fe859f, 0x7f5e8856, 0x7d607771,
+    0x415b7c89, 0x8edc0441, 0xb2a974ac, 0x7f407361, 0x6d44fb44, 0x707d86cd, 0xad71b582, 0xe308cce1,
+    0xdd03b77e, 0x84aecaea, 0xc881ce1a, 0xe32b9f57, 0x8540afd6, 0x51f2cdb4, 0xc825e442, 0x69fc983c,
+    0x57680ba0, 0x6611f370, 0x3663697e, 0xb955412b, 0x8da52ade, 0xd4f57510, 0xdc2c2c41, 0x45be97d3,
+    0x5d1f9a42, 0x3fc6f9fe, 0x9cb4f8c6, 0x5d0feb18, 0x1abeb66b, 0xa1431dcd, 0xfb5951cc, 0xa59fafc6,
+    0xe1c2274f, 0x8e7de408, 0xdd3041c0, 0x76ea6698, 0xcbeb7f3a, 0xcedf6374, 0xd95c4135, 0xeb19cc2d,
+    0xfd04b0e2, 0x11043252, 0x0f2d583c, 0x858c541b, 0x49f711bd, 0x4975f1d6, 0x3266f1d2, 0x1d93a4fc,
+    0x2627d449, 0xdff83678, 0xf69d37b3, 0xc1dc31ff, 0x0dcfe8e8, 0x71aa3512, 0x9a087022, 0x1602380f,
+    0x9042fc74, 0x50925a19, 0x8c2a66eb, 0xb2b7fd17, 0x3d276b41, 0x6606d288, 0x8b4c2880, 0x363586cc,
+    0x345543bf, 0x6c5fbaf1, 0x7ea906de, 0xba85cd60, 0x72b935ec, 0x0d163098, 0xa0999741, 0x02b2ee4b,
+    0xaca1ee53, 0x7723c031, 0x56b7e961, 0xa002aaaf, 0xd1a61476, 0x73aae302, 0xd9504000, 0x19c0b9c5,
+    0xdc256c08, 0xda317a47, 0x06f1c8b6, 0x935f91be, 0x77180bf5, 0xa94dd77b, 0xcb663f1e, 0x3d3ea9c3,
+    0x78735d37, 0x6405b5d1, 0x55cf7a60, 0x92032a87, 0xf1f4776b, 0x161ce4d7, 0x90fd0899, 0x7118abcf,
+    0x4b445e66, 0x355a6c05, 0x54f5b8ec, 0xa5d3fd34, 0x8ad2261e, 0x9c59b46c, 0x6f7fb557, 0x4775d10e,
+    0x8ca86a91, 0x731fc875, 0x1c48dfb6, 0xde88f6a5, 0xcee1a3e1, 0xdf0b55cc, 0x95684d78, 0x83c79436,
+    0x2897fe93, 0xfe3a259c, 0x61e02d07, 0xf9f7d410, 0x4f755f7a, 0x2d8ac3a5, 0x9316f442, 0xc5c3050d,
+    0x0ccba52f, 0xaed519e1, 0x2ff9ac4d, 0xf8999e79, 0x8c56ec16, 0x6e74fcae, 0x6c36a5d7, 0xc1cf5857,
+    0xb5f906eb, 0xea057845, 0xe6d43e04, 0x22d95fe4, 0x21a7ccea, 0xfc3574cb, 0x055b545e, 0xb80fc116,
+    0x184dfc3e, 0xa17e7ae9, 0x09a3ac51, 0xb0813f8f, 0xd3a9887a, 0x00557f44, 0x49574735, 0x16582f03,
+    0x8bd3f98e, 0x3285ad26, 0x4229775c, 0x0e8ac936, 0xe54e93da, 0x63a4bd7c, 0xeda3a140, 0xb03ad169,
+    0x30fe9835, 0xb5be4d6e, 0x820f114c, 0xe40076a9, 0xc879ef3c, 0xa242529b, 0x0bfba60e, 0x88671825,
+    0x6de72eda, 0xebfc797f, 0x2ccf9ca8, 0xcd95ffb9, 0x94fb2cbf, 0x6a3bc91e, 0x25face2f, 0x574b720e,
+    0x7cc6f9c7, 0x5f2f9f63, 0x7febf7be, 0x551c1f00, 0x2837803b, 0xc7ed3390, 0xd7fb6dad, 0x223ebe77,
+    0xaf4c5b05, 0x8957a925, 0x139c1395, 0x7528a1f7, 0xc044d260, 0x20ca56aa, 0xecb1978a, 0x3f119f18,
+    0xdd19d2ef, 0x4f4eb396, 0x4681d1ce, 0x017ca68d, 0x1f3eb5d7, 0xf613c693, 0x41dc5422, 0x1fcfa9aa,
+    0xc1e71ae6, 0xed3c8913, 0x6646e63d, 0x0ca1cc49, 0xe4d483ca, 0xbb4ddf78, 0x1dbb5128, 0xc4fa1449,
+    0x9b53be65, 0x4dcbc724, 0xa6db1c93, 0x77b6283c, 0x0330397a, 0x8f1e759b, 0xef23b846, 0x15907e21,
+    0x095daf5c, 0xc61a0bd7, 0xf3093fb0, 0x1d20c9ef, 0x3c4f08f5, 0xa7afaecf, 0x9124d80b, 0xf14fba8d,
+    0x40a61769, 0x8be9dece, 0xf63371d1, 0xd2d6bcd2, 0x836f2c6f, 0xd1c37cd1, 0x270f7688, 0x8099762f,
+    0x0f375dc1, 0xad4d55df, 0x5f5dfee3, 0x0f6bbc98, 0x0efc1485, 0xe61cfb81, 0x8d264b17, 0x6f49dc90,
+    0x2a2c633a, 0x325b4429, 0x6eb12644, 0xb14f3285, 0x2d00f499, 0xdeaddb5d, 0x5cf6867a, 0xf92e1579,
+    0xb46cd4a8, 0x5a14fb26, 0x14f22ff6, 0x541f3f1b, 0x66049e19, 0xe3fc87a5, 0x5e7afe0d, 0x9545d704,
+    0x1f74cf91, 0xaf12ec49, 0x88733176, 0x8a40aff6, 0xc702d331, 0xa8e0be9e, 0xfca226be, 0x7440b1ed,
+    0x2cb7cd7a, 0x0822ab34, 0x244f33ba, 0x0e9f5a65, 0x8d0d8291, 0x004ff62e, 0x5b02a905, 0xacf0fdf1,
+    0x29d5c506, 0x78f62d5c, 0xfe3647c7, 0x474d3a72, 0xfcdb8b4d, 0xe58e80e7, 0x01a12749, 0x44c919ec,
+    0x3fff2cdb, 0x47437d29, 0x7ea23fcd, 0x6b908ea7, 0xe977aaad, 0x501c52a2, 0x84074332, 0x450fc174,
+    0xd9a99426, 0x262f4c21, 0x52b16dfe, 0x7c256688, 0x463bca80, 0x93deb1d8, 0x7b48aee8, 0xe8548360,
+    0x5406d095, 0xb6e317d2, 0xede59a4c, 0x4017d877, 0x76b68ef2, 0xe81036f3, 0x8f50ab4a, 0xdf1fb8da,
+    0x58795de0, 0xcf8a4f80, 0xaf78b19f, 0xbef2f6fe, 0x7d4d7f1c, 0xc7f37bc2, 0x4c851496, 0x50795913,
+    0x5e22edd9, 0x33f3fe8a, 0x79748272, 0x4e8bdfaf, 0x574cb37f, 0x4036f2db, 0xc5c59252, 0xa804eadc,
+    0x0fcf46aa, 0x3e649dcb, 0x70739668, 0x0b5f4737, 0x437448f7, 0xa89027b6, 0x2459c72c, 0xdeb45b90,
+    0xadcd14b1, 0x0c8868f8, 0x417d4d16, 0xa908f43a, 0xe10f166f, 0x32622409, 0x4308ca77, 0x7ebc5665,
+    0x0f5dcf47, 0x5886bd4b, 0x4efe62db, 0xf27d82d9, 0x11449f4c, 0x4e28ba19, 0x669894fb, 0x3f93973c,
+    0x173216c1, 0xcc14ec51, 0x6d361503, 0xbf469f72, 0x47e70675, 0x17d18114, 0x7daf8f47, 0x5863753e,
+    0x05e8aef9, 0x0fa82997, 0x75f8592e, 0x616bec36, 0xe8aa8514, 0xc406065d, 0x2a306f48, 0x5e0f3734,
+    0x7a87e826, 0xfeb4041b, 0x7d8a4903, 0xa7d11d22, 0x85f4ee52, 0xf9faa571, 0xeec9f1ae, 0xc68da314,
+    0x162d1b57, 0x80d8d6b4, 0x44288878, 0x2f355505, 0x4c4d0e4d, 0x9b77724f, 0x5dc5e1ea, 0x162737fa,
+    0x36e6970e, 0xbb09f7d1, 0x3843c782, 0x0b2d736a, 0x137f2e40, 0x8c4cfbc6, 0xafb8e490, 0x939b6600,
+    0x91314d7c, 0x50cc8d6f, 0x94c53457, 0x766a1a00, 0xef0bc9aa, 0x7829b4e6, 0xe5a73b6e, 0xe71fe15a,
+    0x7ecac17a, 0xac8433e0, 0x966f4412, 0x9999cb6b, 0x6e5946bd, 0x12a1a678, 0xfdb0a955, 0xdebe0cd6,
+    0x8216cd3f, 0xf42984aa, 0x5af0804d, 0x5ec7c6a2, 0x77880911, 0x25280244, 0xd0b0a568, 0xfa9c0982,
+    0xc8c1e7c0, 0xc2e60b37, 0xcf11713e, 0x85a9b4d3, 0x02f88b88, 0xe0347314, 0xb828379a, 0xc5796987,
+    0xbca8f0af, 0xcb3d311d, 0x0e3bccdc, 0x101a6807, 0x7fd0d5d1, 0xbfe08c61, 0x44599724, 0x3ddd599d,
+    0x100806b8, 0x7e166b9f, 0xa26fd749, 0xb2d73b02, 0xf4467c40, 0xf258fdb7, 0xff945da8, 0x39caf478,
+    0xa6931772, 0x240f354a, 0x009251ca, 0x0ee4bad9, 0x4294beb3, 0x6a24a717, 0x50027a65, 0xd0934232,
+    0x381da976, 0x3fd5dd3f, 0xe02bc51a, 0x59247354, 0xb718ae06, 0xddf20b25, 0xf17fd1fc, 0x93f27ed7,
+    0x1c2ea79f, 0xef3f82dc, 0xddef1ece, 0x25cc2587, 0xc222284b, 0x82666a5b, 0xcdd51d44, 0xf4f8ca04,
+    0x282f6fcd, 0x09b6288c, 0xab6bd8a0, 0x01ce42dc, 0x28313aca, 0x3d0442e4, 0xdc1d52d3, 0x7cfd4e80,
+    0x51cfcd19, 0xf5f6be06, 0x0d326529, 0xe47c4fa5, 0xbca5ba58, 0xe2aa80e7, 0xcf204bff, 0x1f809eff,
+    0xf2cff38f, 0xeb6396fd, 0x14f9a5ce, 0x4eb561be, 0xa62ce91c, 0x132d3709, 0x5f5f053c, 0xbcff06ac,
+    0x67bed3d9, 0xfc813e35, 0xb8bbfddd, 0x060498e9, 0xbf57f08b, 0xea4cfdef, 0x7d75cf5f, 0xe98abddf,
+    0x0eb258da, 0x6080a5f6, 0x9cb534c3, 0xbd7f43d8, 0x4e41ff96, 0x6839e382, 0x12912e03, 0x1ae5852d,
+    0x092be666, 0x8baf0adb, 0xa32c12c6, 0xc5fbac72, 0x106c770a, 0x65d577c3, 0xf134a3b4, 0x35a220bd,
+    0x201cd489, 0xb5bb511a, 0x4957dfc5, 0x2c0c56ef, 0x2c416a57, 0xc8ad6cf5, 0x857c84a2, 0xec4f77b5,
+    0x885eab73, 0x76de7e97, 0x1a884248, 0xf518a09c, 0xc8974412, 0x66fa48a5, 0xa758e632, 0x7c17569f,
+    0x9859ef4a, 0xde824ee1, 0x5f88cba6, 0x621ecc30, 0xf5c94edc, 0xb406ac01, 0xdeb201ed, 0x2846228a,
+    0x5e6a3c80, 0xef49622f, 0xeee3c38a, 0x7784b91b, 0xb5da2af4, 0x2c8847eb, 0x41972869, 0xd21fa382,
+    0x43e774a7, 0x6bddbd52, 0x0dc1c6c5, 0xc4718d78, 0x71ff67cf, 0x01c92fe0, 0xde1ed3ca, 0x7c2d2fa3,
+    0x24abbe29, 0x87faff68, 0xfbca4a6e, 0xd7f7fba1, 0x115ea3f7, 0x80428c3a, 0x71f5ac06, 0xb8bb5836,
+    0x633f057e, 0x1a94a947, 0xff11552a, 0x2dfc0ed8, 0xf38baecd, 0x2ab8c782, 0x593ee4b8, 0x6fbf366d,
+    0xed7874ab, 0x4bec583e, 0x99c0561d, 0xd11194e5, 0xdc0a86bb, 0xf016b9d6, 0xd9f33d90, 0x04cd5744,
+    0x05a73143, 0x303453b4, 0xa09a0be5, 0xcfa2e6b5, 0x1bad2ecc, 0x2bdef1c1, 0xfc3dbe50, 0x4e78abe1,
+    0xa12f6735, 0xbaacdb87, 0x7aea1153, 0xa8aeef1d, 0x132e4ab2, 0x1f47fef6, 0xd63eb8e5, 0xe834bca4,
+    0xe77feeba, 0x9a3ece09, 0x8c534230, 0xa12a2e72, 0x839a09d4, 0x109283c4, 0x75172694, 0x32776e6f,
+    0x7c7835b8, 0xc582ca72, 0x9ce5f8f8, 0x74165d66, 0x9ab8db0f, 0xc26fd158, 0x0cf8a406, 0x71be1ba3,
+    0x7aa52e14, 0x5e52feb3, 0xd0252c1e, 0x95d39468, 0xe41001a9, 0x5389683e, 0x1c3c7919, 0x57fc2977,
+    0x986816a4, 0x7a65196e, 0x7ccb9dac, 0xfd3d4031, 0x8e1755ec, 0xec45a035, 0x4d07e677, 0xf53254ed,
+    0xb9de42b1, 0xeb62394e, 0x8c7def7e, 0x321a1f3e, 0x71aa41b8, 0xf16a833e, 0x38f19faf, 0x2f50b86f,
+    0x11a942b2, 0x74c57928, 0x271ec816, 0x8519ac20, 0x68e9f9a7, 0x891547b7, 0xe0464011, 0x928c522b,
+    0x09e6cfd3, 0x50c450a3, 0xe814f387, 0x4956473f, 0xeba285c4, 0xb54da797, 0xdc90759a, 0x133b0f57,
+    0xdae104db, 0x375a164f, 0x45069967, 0x5df3a4d3, 0x6f8c3e83, 0xed92b61b, 0x79384323, 0xbbdf86f9,
+    0xb092d7f0, 0x03ad937d, 0x59379d42, 0xcf201f7d, 0xb5942231, 0xd8edefe7, 0x7002cc7f, 0x21ce8d97,
+    0x675e403d, 0x69492429, 0x3d343a37, 0x2b8d62ee, 0x48d23a43, 0x5e368e14, 0xcc096119, 0xb9b30c03,
+    0xec3672de, 0x73b4e1b3, 0x5ce1e1a5, 0x85716fba, 0x2aef262c, 0x777959ed, 0x85954aed, 0xed9041ea,
+    0xb0cf0673, 0x3c0c155a, 0x0c7ea495, 0x77782075, 0x8b9af651, 0x6551f7eb, 0x843ab62b, 0x831ddcf2,
+    0x4196b797, 0x48807899, 0x8a1c664b, 0xa4c2156f, 0x9dc11cc4, 0x76b4fed6, 0x54854f58, 0x1d1ed5de,
+    0x3ec7e7dc, 0x92ce2737, 0x48382887, 0x9f84a9c7, 0x101a2fdb, 0x493ff193, 0x2f8d4229, 0x2ab61236,
+    0x94095a83, 0x1b3ef654, 0x011aad51, 0x9e46ece5, 0x5e43a449, 0x02fdd2f2, 0xb7143c53, 0xfbba1061,
+    0x4a13a040, 0xd1527029, 0x5a750a3b, 0xcec5f548, 0x2476ae73, 0x295d4fcc, 0x89b1b0a6, 0x65943281,
+    0xe5a4a670, 0xa768fecd, 0x6cf7e5c5, 0xeed79342, 0xa36351f4, 0x3c9cdde3, 0xe523a558, 0x905288c7,
+    0x16c4bb60, 0x56421537, 0xbbcb2b95, 0xa9f0e9a0, 0xaa41b6ec, 0x2204ec53, 0x14377501, 0xc15a4c26,
+    0xad31300e, 0xcb7f77f4, 0x796c15de, 0x2203add3, 0x074f8491, 0x7f90bde1, 0xb85a944e, 0x49a59737,
+    0x8d96cf98, 0xdb71c0d0, 0x59c2bc63, 0xcf46af7f, 0x77a5e8b0, 0xe9ec7044, 0x76ce40cf, 0xe3e3bc38,
+    0xde71131c, 0x9601bb3e, 0xb3f0584d, 0x5201bb66, 0x1e2a9e0f, 0x285fb944, 0x0a1ceef8, 0x56204fc1,
+    0x01f59f62, 0xc1ae975f, 0x2993db97, 0x1eec3693, 0xb21e5cc9, 0x3d1c61eb, 0x498643f6, 0x6cff60e4,
+    0x5d4f2bba, 0x544f7261, 0xd593465b, 0xd6b67ce9, 0x4f7d6e53, 0x050b80b7, 0x8e242c78, 0x77540c25,
+    0xe93dbd54, 0xa079f2ec, 0x8f1d8a1c, 0x11c7e7fb, 0x052f9500, 0x7b75607c, 0x42962cdc, 0xab42f8da,
+    0xbc6d8159, 0x5d25afe0, 0x8949316d, 0x3ae5fccf, 0xd1c3374e, 0x5fc7e727, 0xb5bf8d00, 0x3d9be6fc,
+    0x0304f78e, 0xf761e74c, 0x3b412851, 0x4a85f1ea, 0x7294d21c, 0xbf8e4cf7, 0x6fb3bddb, 0x2554f957,
+    0x0b23619e, 0x76bedce7, 0x7c18c60c, 0x8f164d07, 0x0365f1e7, 0x838da480, 0xe52fb8c5, 0x5feb5ce2,
+    0x62a4cbe8, 0xa751e54e, 0x0de64e49, 0x098e40e5, 0x1bf11ba6, 0x7e148e84, 0x8d2da9ff, 0xd3e254b9,
+    0x71b79d45, 0x136a28c3, 0xceec6f51, 0x61d27ff8, 0x99921118, 0x7ca0ca03, 0x1d4cfbc9, 0x08d2fc58,
+    0xaf3735a6, 0xd7734ebd, 0xc05c5c99, 0x24278f90, 0x3e2661bf, 0xde9dbec7, 0x13dd212c, 0xd9634a75,
+    0xf3a0842a, 0x0cad217f, 0x4ede3b7c, 0xef179943, 0x647767dc, 0x1f4266aa, 0xa998c169, 0xf99484fe,
+    0xda949319, 0xd9b8bdde, 0xeb438219, 0xee561845, 0x6bf008e4, 0xbb202e4a, 0xdf526f40, 0xb764b7ad,
+    0x75eadda5, 0x13d85129, 0x89f51b49, 0xd233a27c, 0x8031c1a2, 0xb2ac5e84, 0x00a131c8, 0x0beb096d,
+    0xb3279d14, 0xcb0b2267, 0xeaea6026, 0x971cc345, 0x477840a3, 0x2fa17b18, 0xb177008e, 0xf30994d7,
+    0xfeae16a5, 0x0ddc6c14, 0x43890225, 0xc0fcb020, 0x8c465a9f, 0x0ce6b2a5, 0xd8173142, 0x439d048f,
+    0x163e767c, 0x16c6f95c, 0xf73dc7f5, 0x968de260, 0x11a100a5, 0xcf4f3ba7, 0x24225c96, 0x8621c036,
+    0x17ec810f, 0xa8a8837d, 0x6ab2aebe, 0xa766e546, 0x3663252d, 0x064ae581, 0x64be0225, 0x8ef6578c,
+    0x412fa3e5, 0x07c3cb64, 0x7f25385b, 0x7adbb355, 0xb445f7dd, 0x70bac067, 0x531fa7eb, 0x035096d0,
+    0x0b47ec0d, 0x89656d08, 0x61e3db9d, 0x886cc58c, 0xcd499eca, 0xabb3680c, 0xa55fa92e, 0x8fa3d74f,
+    0x00000000,
+    0x18b83b67, 0x042c455c, 0x4c5f335e, 0x6fefa30f, 0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04,
+    0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000011198723710889021052787211\
+                          40284222139060822748617324767449994550481895935590080472690438746635803557888 */
+  { 0x00000000,
+    0x0c462fc1, 0x0af9ca80, 0x30bfbda2, 0x0e6c2ecd, 0xb10b379b, 0xaf0b9849, 0x17d07965, 0x1d60029e,
+    0xa4ba09aa, 0xf034f412, 0x7371aceb, 0xb2fe24cf, 0x20df7680, 0xb257bbda, 0x7ab6557c, 0x6dcc325d,
+    0xbdb11a8c, 0x316451c6, 0xa773c6ed, 0x3b1af345, 0x94928f57, 0x74d3e09b, 0x99673e10, 0x19536ce7,
+    0x3a87be98, 0xbcdf051d, 0x7744f4f4, 0xf478667b, 0xd50dcfa7, 0xd83e7fd5, 0x2d5311d9, 0x4bf18f2c,
+    0xd8098646, 0xe1deaf9f, 0x049c5091, 0x99e66547, 0x63d00b72, 0x07bd9f10, 0x4604911b, 0xb6347707,
+    0x3b606110, 0x31281daf, 0x5d7a8811, 0xab8edfea, 0x8880e61e, 0xcd37b1ba, 0x350b2023, 0x5b99bcf9,
+    0xc8f3b318, 0xb16c9bb3, 0x595f656c, 0x50e0ff6c, 0xa8fc2980, 0xd95733b9, 0x0df5afce, 0x5d7277ec,
+    0xe880ef48, 0x8091280f, 0x70932e6a, 0x3b6b433f, 0xb6df71aa, 0xb4158774, 0xe53870df, 0xb5924c44,
+    0x2c1119ff, 0x967f1550, 0xd9b5eecc, 0x20a36ee6, 0xb17dde7b, 0xa80f4b1f, 0x85a86a75, 0x97fb6f8a,
+    0x6c60f335, 0xc2bb9333, 0xf582705b, 0x230473a1, 0xba9ceec6, 0x24698140, 0xabd58214, 0x816263c5,
+    0xfd3802ea, 0x6d637a98, 0x510de43d, 0x1d8374f8, 0xfa73ebe4, 0x40ffd189, 0xa84d73e5, 0xd104994f,
+    0xb1397191, 0xb2986b2a, 0x7c7c3bbf, 0x09c42634, 0xf89da3e9, 0xa62471a1, 0x5efdf8c7, 0x68e6d530,
+    0x873cd09b, 0x492862f1, 0xbced2ee5, 0x66c5cf34, 0x32f82bbe, 0x96dcced2, 0x832a5d0d, 0x2bda7695,
+    0x1f501ec0, 0x4ddb7653, 0x949747bb, 0x3234cfb3, 0xaf95dedb, 0x2489a4ab, 0x06944b75, 0xae758219,
+    0x72431464, 0xa4c877e4, 0x8dc8236f, 0x4f773294, 0x738f5faf, 0x5d0514b8, 0x03da75ca, 0xf0f9aabc,
+    0xa7aeefec, 0x56cf2028, 0xcf15f03c, 0x44194320, 0x7397009e, 0x29ab867c, 0x27bf5a97, 0xcbbc95f6,
+    0x4cd0a488, 0x56ede738, 0x10db7657, 0x3ee397eb, 0x82f70ed4, 0x2329c224, 0x5ff0a296, 0x4cd1aca1,
+    0xc4f402a2, 0x654d2a69, 0xce83d471, 0x6695b1cc, 0x7a00ff75, 0x6f394e5a, 0x53734800, 0x90b202fc,
+    0xb0ee3a44, 0xf37467a2, 0x9b5cd733, 0xb18a53d6, 0xe7fbd418, 0x2d4296a9, 0x5246e5cb, 0xf8fdd13f,
+    0xde05f6fc, 0x409fc042, 0xb2de2e75, 0xd36dba77, 0x437576d5, 0x8d4cc1c9, 0x1f8e93b4, 0x1641d00c,
+    0x133f0f56, 0x80033531, 0x28f0e4ce, 0x828a4e1f, 0x588948c8, 0xa1fa09da, 0x347bda73, 0x98acec16,
+    0x10caab46, 0x92f09f48, 0xd12d7c59, 0xc21e1838, 0xc9e69bf6, 0x42b9f544, 0x1d2f01f7, 0xaa9767d2,
+    0x7422f1cc, 0x796ba370, 0xfda2a769, 0xb4273719, 0x5c09a599, 0xb8ca4d4a, 0xb7b8b636, 0x6258a7c3,
+    0xaf142f9f, 0x253fdec4, 0xa040ea6f, 0x4bb09669, 0x78c99d3b, 0x82a38062, 0x72281389, 0xb5e7d0f8,
+    0x269ec7e3, 0x91130073, 0x313bdedf, 0x30cd2305, 0x048c4006, 0xd77b1a7a, 0x6816e94e, 0x819df90a,
+    0x7f40991e, 0x95bff926, 0xfd8ee5f0, 0xe6449c82, 0xf44c3cea, 0x53264fa0, 0x443f0432, 0x45efe3ae,
+    0x64e836d7, 0x65220947, 0xc2a25c6f, 0x638073e4, 0xd3453680, 0xa80dde87, 0x992a79ac, 0x48767e4e,
+    0x97f4e421, 0xc738521f, 0xef14bb2d, 0xce4dc17d, 0x570f5ce4, 0x00c9b125, 0x2371e86f, 0xe851e4f3,
+    0xe44347d1, 0xe610d280, 0x9eec3cd5, 0x84a47b3d, 0x69d4bd1a, 0x5caac10e, 0x6193385d, 0xeed244f5,
+    0x783954c1, 0x3aa81443, 0xe5d2bd41, 0x90230e39, 0x901329b1, 0x7455748f, 0xd7a34e29, 0x36571556,
+    0x6e408410, 0xf8bd22ac, 0x7a3c2817, 0xacc5724c, 0x3b7401f9, 0xda2200a7, 0x97a0cce6, 0xb98c4a8e,
+    0x5e252450, 0xa58dd95a, 0xe31ee62f, 0xeda40923, 0x1c76a58c, 0xd360f076, 0xb0410b53, 0xa4d1789b,
+    0x6fde88bf, 0x4f37f7b4, 0x5f0b20be, 0x1f4238b3, 0xdb77f63a, 0xd944fcd3, 0x64b1f28f, 0x126504de,
+    0x2dc248db, 0x8a376f54, 0xe4567832, 0xfbb70e64, 0x02c64ca8, 0xed8e37c8, 0x00ebab8d, 0xa21e1a80,
+    0xc793b418, 0xfb4c56b6, 0xf904fcdd, 0x68fa0a05, 0x49a63aec, 0x14547ecc, 0xab92ae30, 0x4f120014,
+    0x41a812f9, 0x9ce11d16, 0x6ae793f9, 0xa3cf46f7, 0x6c171332, 0x6496cc81, 0x51edbff9, 0xbf33c7a3,
+    0xd7dd1705, 0x598f561b, 0x58f59218, 0x8864ac7f, 0x1c3aaa79, 0x947090af, 0xebe93ac8, 0x63f87141,
+    0xb972d5e5, 0x4c5958dc, 0x2aa330ce, 0x26eb8d60, 0xf91be8fc, 0xeaa410b0, 0x493826e7, 0x521ec466,
+    0x3f8e1667, 0x19239b59, 0xc2f71bc0, 0xb6529b62, 0xa3208fa7, 0x089ae319, 0x3e0b4e20, 0xc7b09860,
+    0x94493ce4, 0xf1240841, 0x705299f2, 0xcb3660c2, 0x3cf06182, 0x43f293ab, 0x0d71aeb0, 0x33db6744,
+    0xd81d350b, 0xb4138dc7, 0xd42d9178, 0xd4f3145e, 0xaf618c3b, 0x7658278c, 0xf0261db7, 0x2d53bf74,
+    0x26542dfb, 0x01357f75, 0x65dee811, 0x607a519a, 0x8031ca5e, 0x3db5782b, 0xab785690, 0x47ffdf40,
+    0xd9bdc9fa, 0x5e0a0ab7, 0xca360580, 0xf6e75878, 0xc9d84dd0, 0x2fbd3784, 0x1952be22, 0x63791d65,
+    0xd217db8f, 0x0ab5b721, 0xf97a1bee, 0x81ba687d, 0xb46623a6, 0xf2815f6f, 0x7551e25e, 0x93170401,
+    0xf255fbdf, 0xd38eca72, 0x63e3b3ac, 0x02e0d764, 0x1004db7b, 0x1d8f6e1d, 0x50df4524, 0x3fd409d8,
+    0x233c0921, 0x9c6c1332, 0x2bdf763d, 0x0b08b866, 0x073fd948, 0xdcc796bb, 0x8047710d, 0x511cbcf3,
+    0x7a94b814, 0x4bdf1a8d, 0xe279c0ad, 0xc9783756, 0x3a8afc22, 0x7923c457, 0xc43ae91f, 0x7bb84db8,
+    0x78669015, 0x4a371548, 0xd3351be3, 0xd900dfed, 0x80570eb0, 0xcf752161, 0x52585359, 0x8bdf12bd,
+    0xf24ef2c5, 0xe59296e1, 0x074607a5, 0xf6eee4b1, 0xde34c200, 0x7cd6c729, 0x1e7ae426, 0x245bc735,
+    0x51576a38, 0x9f8328e2, 0x5ab7824b, 0x7c1af7e3, 0x005c6817, 0xe0cfff1a, 0x805e9ad9, 0xc96c456b,
+    0xf3152a98, 0xc71ccde5, 0x68e421a0, 0xa1dcc0de, 0xda79a6b2, 0xaac996ac, 0x1a9b0cd1, 0x48a58e6f,
+    0x1b7dc69f, 0x7b9d7a94, 0x2e873349, 0xf949c180, 0x20ad1fc4, 0x41f720c4, 0x9bd1d1bb, 0x7842c8e7,
+    0x9e0a92e7, 0x5721b090, 0xf5715def, 0x1175789c, 0x50ed0fa8, 0x35bb0ca3, 0xef30b989, 0x93a269ee,
+    0x32a85c2c, 0x96eb0954, 0x142c72ff, 0x29bc702f, 0x1d214187, 0xeda81129, 0xcd8260cc, 0xbc185974,
+    0x8defc143, 0x681e6d01, 0xad2163ae, 0x7f370f08, 0xb6905899, 0xacac60b7, 0x74018671, 0x9f8f911e,
+    0x8ada0dc1, 0x7ce8764a, 0x2902e423, 0x47be3810, 0xde26e80e, 0x0d94f76f, 0x05453bd2, 0x8531e5b4,
+    0xa6fdbaea, 0x43a491d5, 0x09271b8a, 0x3b6c7909, 0x4f0111f0, 0x7343c30c, 0x51746315, 0xfde2ac49,
+    0xa7753a18, 0x9d8a9a51, 0x9c2ea160, 0x053511b9, 0xcae244f8, 0xc4cb19d0, 0x1e45c712, 0x73bdacfa,
+    0x8ce2c162, 0x6d1b6525, 0xcae98ac8, 0x7f91fd4f, 0x1c7a086b, 0xded13907, 0x26c5515b, 0xdb7281c8,
+    0x56a4f065, 0x41c51d75, 0xb43083fa, 0xc917f968, 0x42cb87df, 0xf4895968, 0x90ece635, 0x7a10a8fb,
+    0x158c7a7d, 0x19ff8c38, 0x67b8b58a, 0x88bf1d94, 0xce47690b, 0xb6170869, 0x3121794e, 0xe6f7a702,
+    0x8e3088a8, 0xa0f0afd4, 0xf6935a84, 0x9f965bb1, 0x18a83040, 0x1fc3d415, 0x86988444, 0x91cc0a4a,
+    0x5f761559, 0x0f2b0435, 0x2d4c93a3, 0x99113ad9, 0x25f26248, 0xbe76e6f6, 0x53f36461, 0xffbc3a28,
+    0x4fa9cd5f, 0xf16f202a, 0x7370fc95, 0x6524eb1c, 0x107218c8, 0x1236f97d, 0x5f87f391, 0x14b358b2,
+    0x56d1a294, 0x19e2939c, 0xd766f90c, 0xb4bfd0eb, 0x41825ee5, 0xbb04636b, 0xcbfea936, 0x05bcd2b0,
+    0x05fdb995, 0x601d9256, 0x75e937d3, 0xffe87ae7, 0x15a26ddb, 0x75eb5ef2, 0x99623c9b, 0x29487e50,
+    0x4ea56a8e, 0x2dffe3dc, 0x6f03cbea, 0xe48a9fe8, 0xe87e2e9f, 0xed71f96b, 0x95fa3543, 0x366c61c8,
+    0x248b4fdf, 0xc27122e4, 0xabfe73f0, 0x98df92c5, 0x8ee38dd6, 0xf6133a10, 0x57ae9a93, 0x9e04e930,
+    0x71efd1fc, 0xc9b56d2c, 0x56e589a6, 0x05b66400, 0x660cdda3, 0x1e8e909d, 0x8234c8e7, 0xb7338494,
+    0x5e1360db, 0x00a4490d, 0x2c3ac843, 0xe39ffe12, 0xb6e8b131, 0xed196fd2, 0xa7e441c8, 0xe88816ee,
+    0x2328732d, 0xa44e0db8, 0x5b6af1d2, 0xa11ceffa, 0x7efd1a96, 0x7afcb740, 0x580e712e, 0x47a2a2f1,
+    0x7a280977, 0x758c668a, 0x0744e871, 0xe07b8f37, 0x4837590d, 0x2fd73c59, 0x907320a2, 0xae1f65ca,
+    0x3793d8aa, 0xc12766af, 0x9286c513, 0xb0720a32, 0x5ac8017e, 0x9c1c624f, 0x74459813, 0x24e12085,
+    0x345272a4, 0x08659d83, 0x93c371fa, 0xf0910edb, 0x796d2c2c, 0x36585680, 0xb28f4272, 0xee53118e,
+    0xf114e0b8, 0x0af65097, 0x840b4661, 0x29e4bf79, 0x13de579a, 0xfc1c1e62, 0x35bcb8b0, 0x01856d12,
+    0xd4d1257e, 0xb9eaea82, 0x10290ece, 0x59fb71be, 0x212ddcbc, 0x5823052b, 0x5cdd922e, 0xe753a3b9,
+    0x85af8525, 0xa625b8ae, 0xb5b23cbc, 0x3f2c3a39, 0x6e9d5d1b, 0x5978b7fb, 0xc2d40925, 0x070ba05a,
+    0xb2978a3b, 0xa4e877b9, 0x60ea070b, 0xfc61037a, 0xce0ecff0, 0x21f06266, 0xc83d4e1d, 0x46ce7447,
+    0x233be52f, 0x99f42b57, 0x277aafac, 0xf6d233c9, 0x24d1b835, 0x4bbe3017, 0x945445bb, 0x97919a8b,
+    0x0793cf77, 0x0fc05839, 0x56045af0, 0xa088a9d7, 0x90f36cf3, 0xf3c6fadd, 0x042884c9, 0x21608db8,
+    0x3ea9d82d, 0x9e13dd0a, 0x420b6a4a, 0x7fe6d435, 0x5ebb869d, 0xf8d927b4, 0x3ed5d9d3, 0xb2b299fc,
+    0xdc0be638, 0x159ba7a0, 0x59ca5d86, 0xb84cdc29, 0xf8efaa93, 0x6b5887d0, 0x35316eb9, 0x04fcde48,
+    0xab0d90d8, 0x563cd72c, 0x5f2d6971, 0x19f23fab, 0xff87a025, 0x5b61ed6d, 0xae606f1e, 0xca24a2ae,
+    0xe0967dae, 0xaca5d523, 0x74e5a0e1, 0xd72f6481, 0x8f550305, 0xadf62801, 0xe700af86, 0x6a275004,
+    0x5b6cdb37, 0x47894df6, 0x50e1b53b, 0x49f46104, 0xb168c60d, 0x86e8c137, 0x50c5ebc5, 0x94c20d7b,
+    0x4d4f43ea, 0x4160eee7, 0xc5d8f25f, 0x27204404, 0x3559ee5d, 0x7e8c6e6b, 0x908fea7e, 0x7cf7ad42,
+    0x35cbbd0b, 0xb1ed427d, 0x4045b225, 0x7e327c84, 0x4b63db6a, 0x668ba3e2, 0x0e301aa9, 0x8770e19f,
+    0x28d953e3, 0xa3404b8c, 0x862169e2, 0xc4a6b0ba, 0x90a3e493, 0x19a306bc, 0xe76dc233, 0x05fa44f1,
+    0x5ee86395, 0xe317ef86, 0x1abb97fc, 0xf3247766, 0x9e201c1a, 0x799a16ed, 0xb9f2f098, 0xba3a390d,
+    0xa4122ec9, 0xe87b473c, 0x71c92df3, 0x5b1a8845, 0x4c09cd1a, 0xa8a481dc, 0xb112ba13, 0xf217202c,
+    0x7c6b88ea, 0xd3424a4a, 0x92bbf5b1, 0xe6927b52, 0x22086890, 0x1b8849fd, 0xec7f568a, 0x9cc9dd4c,
+    0x9db95e67, 0x00372e65, 0xe6ad4c03, 0xf9229611, 0x272b6e8a, 0x90556752, 0x501e9f2d, 0x1f3c5036,
+    0x0ec3b1d9, 0x028fd684, 0xc95ba961, 0xf475b213, 0x36a3c592, 0xc929244b, 0xec680e7a, 0x46564da3,
+    0x5a026804, 0x831e9200, 0xabb92d98, 0x1c09a30c, 0xc2c78900, 0x5548933a, 0x1394eba5, 0xb0d4e884,
+    0x323036f6, 0x8daec053, 0x51529c35, 0x8f5f7003, 0x566e5afd, 0x2730c639, 0x30a2a454, 0x7a080a3e,
+    0xbe74243e, 0xa61be731, 0x830f12a3, 0x493ce215, 0x848255a7, 0xe6a98428, 0x5d6ac6c1, 0x4c3c5135,
+    0x5db34258, 0xa3cbee1f, 0xed57fb60, 0xceda5e1a, 0x66d0a32f, 0xabdfeddb, 0xb7c5615e, 0x595b323a,
+    0x32cc82c0, 0x58d6e2b4, 0xd4e9e8df, 0x31560646, 0x22da5517, 0xb45b3dbd, 0x6f407d36, 0xf5381a87,
+    0x71b47cfa, 0x3650a378, 0x7c50e740, 0xc0a72043, 0x324d85de, 0x663b4920, 0xcff5a5c6, 0x7eefcf9a,
+    0x80ed95d0, 0x674818ec, 0x95cead30, 0xb5f4f5f0, 0xf4e4b84c, 0x7f509669, 0x72bd1d48, 0x14ad2a57,
+    0x31f2523a, 0xd6e0863f, 0x7ba33da5, 0xc88629a1, 0x6aebb1e5, 0xd5ccaa94, 0x7087345f, 0x0585d125,
+    0x55aa6299, 0xfd0acb0c, 0x58adc3f8, 0x54c0a894, 0x860e47a6, 0xd86a4189, 0x5dfbdbb0, 0x04a42917,
+    0xa6752b3e, 0x08c4731a, 0xe7541428, 0xd0724b7d, 0x40cbb989, 0x8e02bd6f, 0x2c8db5dc, 0x21864902,
+    0xcda33300, 0x43ee6a4d, 0x40103e84, 0x5f95eefc, 0xfdc3faba, 0xefaa3005, 0x79ac9c4f, 0xeb120bd9,
+    0x0ff699d4, 0x1e01623c, 0xd3137597, 0xc5279608, 0xfed1c719, 0xc03e1424, 0x60dc51d2, 0xc24750c5,
+    0x0eef5fec, 0xb4cea8d8, 0x74cad872, 0xd89d79b4, 0x5f876823, 0x3cec251b, 0x434d8bf3, 0x15960fe4,
+    0x34d48181, 0x4e4a8ec8, 0xff089c49, 0x77f6dd62, 0x370d5802, 0x1cdb68ec, 0x07f7a7f4, 0xf766474b,
+    0x6433603c, 0xc8ea2e4d, 0x8911bd2d, 0x80477aa5, 0xa627f398, 0x09254e0b, 0x089f685b, 0xf05bdee9,
+    0x293a53bf, 0xa7b56a67, 0xddfdd5ba, 0x281805f3, 0x2d2d9a8f, 0x9f10f722, 0x99fe65c8, 0xe6d3d3ef,
+    0xc9c26648, 0xd9101baf, 0x61e179bc, 0x9413ae62, 0x4834b370, 0x7e9ace99, 0x48a939ce, 0x1e204f74,
+    0xbedbada2, 0xba5b7b48, 0xd6405811, 0x13c6ec76, 0x350164a8, 0xb5ee97aa, 0xdb870254, 0xf7050f6d,
+    0xff64d590, 0x273bfcb4, 0x6052560b, 0xea5f550a, 0x967f282e, 0xe944ed2e, 0xced96573, 0x510bc0c3,
+    0xa54da3f0, 0x82457329, 0x31e350b6, 0x32a27a42, 0xce091752, 0x2c06bf90, 0x60ddd178, 0x43ed21fe,
+    0x1212958b, 0x7f2a527e, 0xd12b8910, 0x72882cbb, 0x3001425e, 0x37dbc695, 0x76b3250e, 0xe5d02a92,
+    0x7c1d607a, 0xa43deb61, 0x4c917cac, 0xd4e09a7c, 0x43fc1910, 0xdc7dcd1f, 0xb610aaa5, 0x02f2d905,
+    0x6bae669a, 0x510ccef3, 0x4b00e893, 0xd025bfa0, 0xd88a0b24, 0x86c040e4, 0x9ff6d5cf, 0x529d0476,
+    0xa7d50284, 0xdd553cd3, 0x98b5abbc, 0xf1e6e660, 0x95cf650a, 0x4d9d304b, 0xc3c83245, 0x6239adc6,
+    0xa88fa60e, 0x0bf19465, 0xb7b60011, 0x4c0098cb, 0xb8d3f64d, 0xe01533d9, 0x9115889c, 0xcc5ecf08,
+    0xf0f202db, 0xc8349dda, 0x14cb4c0c, 0x0e3e48e1, 0x05704fdb, 0x538ee6eb, 0xb8704960, 0xec8b38ff,
+    0xd80a89e2, 0x2aad58a1, 0x51211776, 0xbc85b3f6, 0x646d0c80, 0xee122337, 0x06be1361, 0x1d6c2dfc,
+    0x8f80e587, 0x06efd7b3, 0xe2aae78e, 0x465c43ce, 0x34ccfa7c, 0x7c0601f3, 0xfa71d4ac, 0xe92d1aff,
+    0xe9ec7377, 0xd7472f92, 0x3c08bdad, 0xa58f20eb, 0x43a60e3e, 0x37ddb4c2, 0x46f3558c, 0x57ba5d5c,
+    0x05920b57, 0x3b06bfc3, 0x6ecb9296, 0x2569b4f4, 0xa25703fb, 0x04c2bd19, 0x427cc64e, 0x5e3ed801,
+    0x31a9dc5f, 0x3a0d28be, 0x2727f99a, 0xc957bc60, 0x9627766d, 0x3011d8b1, 0xd49e54c9, 0xadc5cad1,
+    0x2b6adceb, 0x3f9b3a4b, 0x3ff45ebf, 0xad532856, 0x3d91b568, 0xaa85698c, 0x8d57dfa2, 0xf93ddcb6,
+    0xc9e64d09, 0x66bcb53b, 0x8b76f24a, 0x8b17dffc, 0xe7a18213, 0x2ca2e676, 0x0d608ae2, 0x87983dbe,
+    0x00000000,
+    0x0c5c1db3, 0x021622ae, 0xa62f99af, 0x37f7d187, 0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502,
+    0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000005599361855444510526393605\
+                          70142111069530411374308662383724997275240947967795040236345219373317901778944 */
+  { 0x00000000,
+    0xd7e3fe62, 0x20b48fa7, 0x170eaa9f, 0x7c92cab2, 0xad4a5fdd, 0x54dc2bac, 0x83c3576d, 0x55f3f3b6,
+    0x7fdef668, 0x1d15dc39, 0xb6e324f5, 0x2b5800c7, 0x9fd282e3, 0xaa24e064, 0x814ea8e9, 0x32294471,
+    0xac203bf9, 0xfda5d76d, 0xc8c204e2, 0x4f289896, 0xe260b4d6, 0xdc9f28f6, 0x89136850, 0x05e91417,
+    0x81b7ce13, 0xefee1183, 0x292bcec3, 0xc1fe8416, 0x382b9ae0, 0x4c264620, 0x20de9983, 0xf288101b,
+    0xb4f9b681, 0xe86528ca, 0xe8e680b4, 0x1edf4c71, 0x3f1f7825, 0x8dd44849, 0xa0ffca35, 0x0faa91a9,
+    0xe8562e9b, 0x74619650, 0x29fb6fb7, 0x479ceef4, 0xbc6e4586, 0x529d2c59, 0xf3d7780b, 0x323feeb4,
+    0xd1e3ead3, 0xa7b14d83, 0xadacb80a, 0x6e46fe69, 0x914d76f9, 0x40fdb41b, 0xa47b79e1, 0xf9c43f13,
+    0xc4b81fc4, 0x45e259e6, 0xba8b5cba, 0x2a4dc7df, 0x38d974bc, 0x08b4451b, 0x574923dc, 0xca6f5119,
+    0xdc3601a7, 0x11248da0, 0xac42ffe5, 0x93fc7a6f, 0x6bdb85f4, 0xa77da73a, 0x55d9b223, 0xb9f6d818,
+    0x63fb551f, 0x20ac324c, 0x47c0ec3f, 0x29b6163c, 0x82a67618, 0x20888c18, 0x4162d9e9, 0x347a379e,
+    0x37ac2ef5, 0xf56edb55, 0x3d3e2d38, 0x514dbc8f, 0x3c6dc665, 0x25fdc067, 0xabc0429c, 0x837623dd,
+    0xcb7940a1, 0x8a299aba, 0xa919931a, 0xe209ad0a, 0x3dee8d09, 0xd665598e, 0xae99dc7e, 0x7fdba228,
+    0x8c8d78da, 0xf4b0fc6c, 0x69b83182, 0xa51ff16e, 0x1e9bef08, 0x58141a0e, 0xe80d263a, 0xc9c6f61e,
+    0xfbb28170, 0x7802143b, 0x630cfcea, 0xbc2ee13c, 0xce6438df, 0xf46dc8d2, 0xdd6506a4, 0x2f26f971,
+    0x740ef13f, 0xd7b50c53, 0xf10e02d7, 0xc38aa9dc, 0xe8cab7bf, 0x3471b22f, 0xf123cb4e, 0x64c3ac1d,
+    0x949e3269, 0xf910b3cf, 0xfa2ad0dd, 0x65e2a360, 0xaa16f3f0, 0x9e14ef8d, 0x235c7d9d, 0xa057fdba,
+    0xc4705af0, 0xac55df23, 0x86bee527, 0x5edfaf35, 0x2225f1ed, 0xbaae0b52, 0x6a7a209d, 0xe3f06759,
+    0x2ddbf039, 0x539578f9, 0x65006c45, 0x9eda099f, 0xa914e3f7, 0xa24aa551, 0xcab94632, 0xcc534754,
+    0xa21fa85a, 0xd9b53877, 0xd9254635, 0x89b8f6be, 0x4062bfa7, 0x95cb6579, 0xf2f8753b, 0x89c5160f,
+    0x27904f0b, 0x18f7c15c, 0x4b3f6b5f, 0xe8efed1b, 0xc4a421d5, 0xdb1e1f4c, 0xaa747c6b, 0xc2f7d2bc,
+    0x443ff229, 0xb48741c4, 0x30050893, 0x25875638, 0x73c12931, 0x439ca11e, 0x91bb1592, 0xa8f3206c,
+    0x35165487, 0x3a770485, 0x3e25b990, 0x0327cdf9, 0x32383200, 0xfaa25412, 0x602c889a, 0xf5c8af4b,
+    0xd3f064f3, 0x2adffaba, 0x11ccfcd2, 0xe69cfcd7, 0x63b4f869, 0xacc9b4d3, 0x13f4e02e, 0xb77d4140,
+    0x7e7a8f3b, 0x54f66c15, 0x677633c1, 0x0d9b75ca, 0x0c52b4c4, 0x04c145b9, 0xe06ff7b0, 0xa567c639,
+    0x2b6973a3, 0x434719a9, 0x49c742bc, 0x9465db90, 0xb594fd93, 0x5cb7553c, 0x19dc9c6e, 0xafd4a528,
+    0x791156d9, 0x79277989, 0xe247512a, 0xb37e0f6a, 0xad60c15d, 0x0bd225b9, 0xfc413882, 0x969d32d0,
+    0xd64050bf, 0x67ff5b47, 0x50a94a7b, 0xd8268061, 0xcb36b8f0, 0x45d77646, 0xa15121d5, 0x6c1c2a1c,
+    0x4de5add4, 0xb8c22e27, 0x9ce11165, 0x4dd19844, 0xafcea1bd, 0x74d0ebbe, 0xb88ee7c0, 0xb238f0ee,
+    0x9e23623a, 0x658a20ba, 0x4da87ad1, 0x5509b8a4, 0x9cfa3237, 0x683aa203, 0x326f4e6f, 0xfb1a0172,
+    0xcd96036b, 0x238075d6, 0x899f643a, 0x074a543e, 0x6b8bb032, 0xcdcfd9f0, 0x630e3cba, 0x186b97bd,
+    0x61ef06d3, 0xba58e7e6, 0xfc3e3f3c, 0x2bc74aaf, 0x0325c911, 0x918004c7, 0x8b21532b, 0x81bb0f10,
+    0x66f1db9b, 0x16847e38, 0xa469f504, 0xddd40a39, 0xacbec830, 0xbba0cb78, 0x64642bda, 0x05ae3ebf,
+    0xb1e2a33c, 0xc049feac, 0xda89ffec, 0x97e4b956, 0xd457962a, 0x73a723d3, 0xd44aaf78, 0xa35f5c78,
+    0x8d01f244, 0x1081ecdc, 0x3efaab44, 0xb22f0126, 0xbcfcc326, 0xa17ad9d9, 0xc2470d13, 0xe64c2193,
+    0xd0f1eb8b, 0x0bdb85e5, 0xa05a2483, 0x5921fe1f, 0x9262fc8f, 0x4d31ba0e, 0x54586bad, 0x276854ef,
+    0xc8e0cae9, 0xcb0c8a43, 0xab42c0d4, 0x74b99b61, 0x1b12c310, 0x342bb954, 0xc58739f0, 0x702c9e64,
+    0xfa15df63, 0x5ef3e76d, 0x2b4b8be7, 0x983c9b29, 0x16c1785f, 0x38bdbca1, 0xf05606db, 0x1e448d0f,
+    0x3a6b3f1e, 0x496a8ec6, 0xce930330, 0x18ae687f, 0xefa90e48, 0xb3900a67, 0x4aa2cb9d, 0xaa10b819,
+    0x3c6e0933, 0xd4bd6023, 0xae46a1e1, 0xfdc9fca0, 0x1177cb17, 0xb492eaf4, 0xdf296dfa, 0xeeaa9add,
+    0x167313ca, 0x5a2e2777, 0xe6edd021, 0xf7f06c4e, 0x94c96b20, 0xfe0b5626, 0x6ba6bb52, 0x3f816fe6,
+    0x6d690784, 0xc9448359, 0x560e018e, 0x70ea820d, 0x6e0c463c, 0xc0e73d7d, 0xf6bafd8b, 0xf10aedca,
+    0x27bc0a09, 0x24d7622a, 0x9e03631c, 0x770d57d6, 0x39093e69, 0x03e19f22, 0x72e351d1, 0x2a840c88,
+    0xa43df44c, 0x6af7d392, 0x14b31d5d, 0xc4abd7fa, 0xc6849dd0, 0x9cb1c900, 0x9ad07c8f, 0xc3e7e5a8,
+    0xe59cd73c, 0xc55acdcf, 0xce2d462d, 0xf128593a, 0x9931b052, 0xedc425fc, 0x367e5eff, 0xadbf0f31,
+    0xc26e62b7, 0x8e741371, 0xa7f95f6b, 0x258c4d08, 0xeaa21948, 0x485d88ed, 0xbfa95e1f, 0xf826607f,
+    0x79ceef9d, 0x0cae5893, 0xe8f66fd7, 0xe4f1cc36, 0x7b3c2592, 0x39f2ffad, 0x16228588, 0xaad16ae7,
+    0x06efc172, 0x367c8454, 0x907bb9e9, 0x1354e936, 0x42a72845, 0x6243314a, 0x882b4a33, 0x8a6a2206,
+    0x6cb6d57d, 0x55b7145d, 0x17a35766, 0xa41866ae, 0xc040ad1d, 0x8e13eba5, 0x676929bb, 0x8dae8cd6,
+    0xf63dae3f, 0x6b3a862b, 0xc067512c, 0xf2d3ec85, 0x0c18ce21, 0x1ec9eb4b, 0xb7917808, 0x227d8d13,
+    0x46b9d146, 0xdee6893c, 0x080f63cd, 0x04ed8c53, 0xdb239ccb, 0x5006ca4f, 0xac0da293, 0xc389db22,
+    0xbb53137c, 0x21027af6, 0x5cf1ae1b, 0xd2fa0e0f, 0x2861d2c7, 0xb7ed99d5, 0x70838c75, 0xd0a1e286,
+    0x30529f2f, 0xd9eeb074, 0xe177d451, 0x3a4dd06a, 0x65bff64c, 0x52fc778a, 0x14d0196d, 0xb012fe2a,
+    0x912d3361, 0xdd7b4cfd, 0x1c71ed25, 0x7ac5742d, 0x3c4dd980, 0xae0a2f80, 0xcb19f401, 0x40c477f9,
+    0x22aed750, 0x84a60770, 0x6b63d654, 0xf3d8fd01, 0x8c38d1d9, 0xe03281a2, 0x94395aa8, 0x8a53c45c,
+    0x4ff9f489, 0x9614f175, 0x6d458bdf, 0x3e223e25, 0xabea13ba, 0x44e9ae75, 0x38b861cd, 0xa6d003e1,
+    0x15cc7d42, 0x1c0eff58, 0xc6e6e991, 0xfda63af3, 0xa46e5905, 0x526fe2b0, 0x28b40f12, 0x041a1f65,
+    0x7db4ec22, 0x316dd1ae, 0xbab2f1db, 0xfa69ca09, 0x4b4d659d, 0x73c2ff5d, 0x9420df1f, 0xe56da60f,
+    0xbda1f229, 0x31d33b59, 0xfc79f38e, 0xd3dcbbaf, 0x413a7aed, 0x0a00195c, 0xf50d29b7, 0xd8fe77cf,
+    0xd35d96c8, 0xb14f28e3, 0x8c61f1f7, 0xa4ed6132, 0x1adc4207, 0x31d02b20, 0x6908c928, 0xe4339f7c,
+    0xcc225f5d, 0x71150c4c, 0x92611dca, 0x38958e6d, 0x9a7e8764, 0xb24fc0fd, 0x2635ef67, 0xb9ef67ae,
+    0xf5d00219, 0x46f19d4d, 0xdcba4868, 0xf195b8a9, 0x0ba7f6bc, 0x960fa152, 0xa8f77ae8, 0xed11cd92,
+    0x7c242c6e, 0x1648bc62, 0x22bbaeec, 0xa8d46876, 0x516e75e2, 0xa31db8b9, 0xf2d342bb, 0xc2dcda33,
+    0x54545bb0, 0x5178097d, 0xa5b69a80, 0x52523c58, 0x3bc465d6, 0x50b0e51d, 0x12f47cc9, 0x1533f796,
+    0x9fe6f7a3, 0x8eec893e, 0xb374554e, 0x82d15004, 0x21ed6c7b, 0x92c822a9, 0x96cad762, 0xd29996b9,
+    0x1ea21acc, 0x8ae1abfb, 0xf9dca780, 0x68541e8d, 0x7d50f012, 0xd2e020fc, 0x590db5eb, 0xe0090d13,
+    0xf0d2d840, 0x54b6cc15, 0x357d43b0, 0x71d55e5f, 0xe2b454ae, 0x8b637138, 0x90eefe9e, 0x578ff310,
+    0xd023b6d5, 0x6e316406, 0x088b8996, 0x6582aee0, 0x4d46934c, 0x6f0f86fb, 0x377485c2, 0x9b271747,
+    0x871d6b6d, 0xad9d73e9, 0xa953002d, 0x0e295fe8, 0x5c33504b, 0x3df65a58, 0x0723e2c8, 0x18a2356e,
+    0xc6ed8e77, 0x9635cf45, 0xe57cc060, 0xcb5f6739, 0x26ea8d1e, 0x1dd897c1, 0xe00102b3, 0xb8289d6c,
+    0xb4af4c0c, 0xd0898568, 0x75bb8fc2, 0x4c26467f, 0x5e111bb1, 0x23898bd1, 0xb80e962e, 0x2c0a05a5,
+    0x2828a63b, 0x28e965e8, 0x41ac8b55, 0x3115ff8d, 0x5c46b72d, 0xaf15e674, 0x6250ad4c, 0xfc8de00a,
+    0x621bae00, 0xe82943ea, 0x2f135ec9, 0x64445309, 0xf936f063, 0xf32f8489, 0x9ac4a572, 0x48d06128,
+    0xc7b4c1f6, 0x7a7d0353, 0xbf763c56, 0x1037c3a0, 0xc69590d9, 0xb6de4d15, 0x42fc250c, 0x6073e02c,
+    0x616d9b1a, 0x11a43cb3, 0x62a15a48, 0xe203f303, 0xd840e4fe, 0xe68808fe, 0x0f478074, 0x18aab3d0,
+    0xf946778b, 0x198492a5, 0x1eadad61, 0xd331f02b, 0x56c5de3c, 0x69c06559, 0xfa402d79, 0xa4a8c065,
+    0x2cb69c50, 0x757e7b37, 0x9c338bfc, 0xd4f76551, 0x77448ee9, 0x79aa9e1e, 0x968173ef, 0x48a8addc,
+    0x620be98b, 0x70c6aba0, 0xa75eed1d, 0x55822241, 0xa30bb4c4, 0xe3fea5a5, 0x22f79c57, 0x0975ae5f,
+    0x66fa18b1, 0x39e18ef7, 0x8b56da2c, 0x30bcfb76, 0xbde9d081, 0xc1a47ef0, 0x11b14269, 0x92ab754e,
+    0x367ff2cd, 0x9253663c, 0x99e97933, 0x9cc75e6b, 0xb68957c6, 0x1a62b5a4, 0xb30a2f44, 0xfc9bb585,
+    0xcadcc36a, 0x59d736ec, 0x78b8a52b, 0x70e64968, 0xd2329806, 0xa249beaf, 0x95d7db36, 0xba01a172,
+    0x2aea9d6f, 0x7b819ba6, 0x8865ffdd, 0xfa807672, 0x250f494c, 0xdc492933, 0x0ac6f8b3, 0x0fb64fa6,
+    0x72e05e4c, 0x13fcf42e, 0xe6fba880, 0x9f9e7359, 0xbebe5c3c, 0xc0d3a96d, 0x683442f9, 0x29220654,
+    0xa74d005f, 0x6581020a, 0xed6798bc, 0xa937b23c, 0x52ac76ad, 0x391536cc, 0x3a0a06bf, 0xf9e203d5,
+    0xf5ae59f3, 0xbd6f7ed9, 0x95f0e58a, 0x541d9b8d, 0x3bf95934, 0xdbc72fa1, 0x1e01d5fb, 0x88308634,
+    0xd1cc7dbf, 0xe22654de, 0xe271550e, 0x56ddc527, 0xbbe1c1d1, 0xd1ec1c48, 0x6d1d78b6, 0x439ddd42,
+    0x723a4352, 0x54a00738, 0x5c87ccd3, 0xd458570f, 0xb98678d7, 0x3a8228fe, 0x386009fc, 0xebb976e0,
+    0xcf2ea5a6, 0x44d70308, 0x74dd99c2, 0x5b286772, 0x9684aac1, 0xb06b89bc, 0xfb394aa4, 0x5a5b34c2,
+    0x120071fc, 0x4b55d5da, 0x9b290faf, 0x2437a278, 0xe5a49122, 0x6302c488, 0x47418cb4, 0x8779c612,
+    0x9a771e9b, 0xce8b6f97, 0x04c6a4f7, 0x4437c4aa, 0x00ec4267, 0x74d0e28a, 0x44def181, 0x0165e7d8,
+    0xe8900acc, 0xa59d1f18, 0x876138c1, 0x13ab8392, 0xd5f3064d, 0xb25ae9c3, 0x71bfa084, 0x7135d150,
+    0xa303cf0b, 0x25eae10c, 0x7d689749, 0x2487dcc8, 0x98d2ccd8, 0x334cb80a, 0x731e5a63, 0x7fbf6075,
+    0x395ec617, 0xab88d345, 0x798b863c, 0x1cad8ef6, 0x201eadc4, 0xe828333f, 0x2993cf1d, 0xeb67d96b,
+    0x8d1eb3ed, 0x1e46ae66, 0x4f050ba9, 0xf2c14541, 0xef97107c, 0xeba69cca, 0x00142730, 0x39d85cf6,
+    0x7213b1a7, 0x2bdc61f1, 0xaf6ed501, 0x2c51e42c, 0x9b387fe1, 0xbde7dd80, 0x0f327f5d, 0xfaaa9fcd,
+    0xe51e49c0, 0x978142cf, 0x4785d989, 0x15d4ba90, 0x26d94cc2, 0xd274c76f, 0x50003611, 0xf79ae4ce,
+    0x6904c17e, 0xcf60bca7, 0x4b8a4de0, 0x8d46b84a, 0x40f7ef7e, 0xec6de217, 0xf6c0b0a8, 0x2f280fae,
+    0x2d161ab9, 0x04b5b0ca, 0xcd06b9aa, 0x3606a728, 0xebddb3ce, 0x0b1c22bb, 0xcaeab9d1, 0x858d123e,
+    0x6ccb2228, 0x2be13b20, 0x31dad2fc, 0xcb8eecf7, 0x0abb5efb, 0xe6556e7f, 0xf8596087, 0xc0af0670,
+    0xfe9c8ff6, 0x7fbbc7b8, 0x7b9e59b8, 0x9d9f4583, 0x8f8059bf, 0x3420d474, 0x426fb702, 0xbc33a4a4,
+    0x57613775, 0xa4547c54, 0x499d3e40, 0x8ba05d62, 0x36802646, 0xadd6169e, 0x577b47bd, 0x793345a2,
+    0x86117935, 0x215e0449, 0xe0db4463, 0xde1cd397, 0xc2d0c82c, 0x71fe6739, 0x4b85bc4f, 0xbb5ee18c,
+    0x106cf9fd, 0x1ffa4880, 0xc4bcb9d3, 0x56598540, 0x48e2eb21, 0xbc4be2f3, 0x402fd746, 0x33e19ae6,
+    0x68db9f3d, 0xf550ac5e, 0x390c1cf5, 0xf0cff09a, 0x5de9d444, 0x3bb0f87e, 0x005c4555, 0xe214ab55,
+    0x7c2d8796, 0x868ced8c, 0x0155ed7f, 0xc07157f8, 0xd77f7bcb, 0xb0203fc6, 0x32259992, 0x58180c26,
+    0xfac144ce, 0x38ffcacb, 0x71041aea, 0x2a9060e6, 0x780ea557, 0x44c31bde, 0x17c6480b, 0x4112e715,
+    0x6454c74a, 0xc3d52f11, 0xf1fcd80b, 0xd84261e5, 0x48d0f80f, 0xc0d533ea, 0x640dd835, 0x38eef973,
+    0x34aa233e, 0x34ea7573, 0xd0b558c8, 0x7b61f613, 0x58e55ed9, 0x366e1b19, 0x57756757, 0xd2f3c5a1,
+    0xb523b9e7, 0x34d29639, 0xd8ee2a84, 0x5575ac16, 0x3c27b60d, 0x0bf67c23, 0x24a0d2cb, 0x4cbb6f99,
+    0x87417db1, 0x229f57c2, 0x5a0ed1da, 0x0414db45, 0xf6954e4f, 0x9ec2c394, 0xe3381980, 0x743893ac,
+    0x5ec62f85, 0x441aaa2d, 0x64c3b68a, 0x52a6f4a7, 0x7a291155, 0xfd8a958d, 0x484d9a00, 0x1c2e1117,
+    0xf0d27eab, 0x85932127, 0x6ca5e3a4, 0xeb985b5b, 0x3bd3cb78, 0xfb0cb1b4, 0x2bed4316, 0x2128cd5e,
+    0xec49de4d, 0xb21b0d98, 0x8ef13c31, 0xad66dd03, 0x30b6f3f7, 0x5efacc9a, 0x004d33ac, 0x27cb5763,
+    0x4deeb4e1, 0x2bac6a60, 0x238ff0df, 0xdc65451d, 0xd53a2f6a, 0x17ff0ec5, 0xd5213d57, 0xb367c0e7,
+    0xcabedf4d, 0x60ebbeab, 0x376758e7, 0xa9687f14, 0x7e7f10d2, 0xa4c8d080, 0x1b114ae9, 0xbb3083a7,
+    0x2973186e, 0xa9d7df0b, 0x9d4612a1, 0x76ee02c2, 0x9e852922, 0x98b3088c, 0xaa54f1e4, 0x6d530024,
+    0x4e2d7792, 0xb8aca329, 0xf1aceda0, 0x754b0eec, 0x1a14a20b, 0xc93a7e9f, 0x23aa9b35, 0x657cfcf1,
+    0x6497f3cb, 0x759fef1e, 0xb715554f, 0x5d797802, 0x92644170, 0xb3c20117, 0x621982fe, 0x27746c41,
+    0x6f91c670, 0x4fa0c6e4, 0x455395e7, 0x4980edbc, 0xdea3fdfa, 0xde41c672, 0x9d142e12, 0xfadc6dbe,
+    0x82e5ab89, 0xd0cc75b9, 0x9ca6b9d0, 0x7bdffa2c, 0x5290c6ae, 0x9cf563ea, 0xe6a9b790, 0xce266ce2,
+    0x713d1f9f, 0x69ef43b8, 0xa32a75ae, 0x3291e01c, 0xc657949d, 0x0800da9c, 0x6d598002, 0x6a48901e,
+    0x3101f636, 0x4b7f67f8, 0x512ec22b, 0x84e6a695, 0x27cabee5, 0x305fcf7c, 0x536330ce, 0x031c0a69,
+    0xafb38570, 0x971dd958, 0x5a4d2b73, 0x8503279a, 0xc151d80a, 0x3c0cb3dd, 0xc797283e, 0x568108d8,
+    0xe86a270b, 0x92972280, 0x3b8213aa, 0x9a2b2a50, 0x24cc0e08, 0x8d5abab5, 0x49d98f50, 0x261c06e3,
+    0x62ccf1c2, 0x874b6728, 0x2dca6c79, 0x2ae12a1e, 0x94cb3880, 0x1220fd12, 0xf1a9436a, 0xb6aa413b,
+    0x809bbca9, 0x989797d7, 0x6d367e26, 0x64cb36c7, 0x532662d2, 0x6fc01658, 0x8211cf79, 0x7b7f2b40,
+    0x588ff753, 0xf1e594bb, 0xca6e6803, 0x612cdd1a, 0x91aa18a7, 0x1f54da6f, 0xe91a366e, 0x83be1d01,
+    0x00000000,
+    0x062e0ed9, 0x810b1157, 0xd317ccd7, 0x9bfbe8c3, 0x958b724a, 0x500e4262, 0x2599349d, 0x48059281,
+    0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000002799680927722255263196802\
+                          85071055534765205687154331191862498637620473983897520118172609686658950889472 */
+  { 0x00000000,
+    0x59b9f3d9, 0xa51a8c10, 0xff20eb01, 0x4197c0e0, 0x5a595a2a, 0xcfc1d34c, 0x5fcc5387, 0x46b6142f,
+    0x4d4f8866, 0x5bc9e94a, 0xf9076b36, 0x0af68773, 0xbdbffeff, 0x0d086d80, 0xdf8106be, 0x0d0e9d16,
+    0xd651cc1b, 0x9691d5b2, 0xe75aa69c, 0xfb17a4f7, 0xddd7723c, 0xbdcc8302, 0x0d8423ec, 0x5329d8d9,
+    0x9dc23ed4, 0xda37454a, 0xba596261, 0x32fad19d, 0x914bc871, 0x883f7ff5, 0x6b3a2d55, 0xb5d77512,
+    0xa0cd94b3, 0xbbd2db64, 0x1181d901, 0xfe2f73e4, 0xc175bd5c, 0xf6fe1e80, 0xac8051de, 0x0e723b10,
+    0x594e2858, 0x77631b6d, 0xaadc4eb6, 0x53ca507a, 0x192adcf4, 0x8bde2027, 0x2ca6e8b1, 0x1f792790,
+    0x1e7e8c92, 0x6111b58a, 0x0fcabe9e, 0xe3d2b594, 0x99b5765a, 0xa5c4f71e, 0xf7ee3d27, 0x0e0c5c9a,
+    0x57f219bb, 0x4dc509b0, 0xe5499170, 0x5b2d5c85, 0x73ffb1c8, 0x43b78579, 0xb691372a, 0xc9db783d,
+    0xbeed3432, 0x8a4c7837, 0x2f8a8fb1, 0xa175777b, 0x9abb5ae9, 0xd5330afe, 0x535b0c1a, 0xcd7d4b03,
+    0xac39c2a6, 0xfed1b38e, 0xa51f00c7, 0xdd13eaef, 0x33a277cd, 0xb1d14ca3, 0xddda7386, 0xa526e7ee,
+    0x99d08e09, 0xf10e721e, 0x743e5873, 0xab7eeafa, 0x322ea0ea, 0xe5d05a7f, 0x92e7f826, 0xa79a64ce,
+    0xed288253, 0xd395c1a0, 0xa7026641, 0x01b3ba8d, 0x3f27cb89, 0xc5ae8e8d, 0xc4575834, 0x33ea93f9,
+    0xb028cf2f, 0x5dcab7ae, 0x2a35fb01, 0xf067f121, 0x2e409424, 0x96a521df, 0xd42a7d77, 0xde3e1562,
+    0xf450086e, 0x57f26758, 0x3daa1e34, 0xc36c9e3f, 0xb29ceffc, 0xea57c0cd, 0xcda714b4, 0x23ef49ab,
+    0xff125cea, 0x46b3a08d, 0xcd3a4b88, 0x373b9141, 0x25c298cb, 0x95828d50, 0x970b0ed5, 0xdf41df5c,
+    0x3d8f9085, 0x3c17f367, 0xf06221a1, 0xe3afd94f, 0x96c83428, 0x3bc776d1, 0x7f197147, 0xca20acd3,
+    0x485f6ab8, 0x4e90ed28, 0x9b6cb27a, 0xd3a18ae8, 0x241c8d77, 0x9c4ba80a, 0x768771b2, 0x9bb5ba2f,
+    0x07b803e7, 0xcb7fb56c, 0x05c95581, 0x40326524, 0x6030006e, 0x654857d3, 0xc988adb8, 0x7276fda5,
+    0xc6d26b94, 0x675e580d, 0xa4a93e1e, 0x7e593427, 0x6b4ce8d2, 0xfbf91f85, 0x7b8937b2, 0x6999027f,
+    0x4cc0c6fc, 0x19fea339, 0x3475044a, 0x9052fde2, 0x841d8383, 0x383327ec, 0xc34b76ad, 0x184c40ee,
+    0xc4da42a6, 0x7ec80466, 0x8f95ae50, 0x9874d8a3, 0xd0bc6d37, 0xbf943a0b, 0x5015e53a, 0x933d5be0,
+    0x6b6dabd4, 0x685c5c90, 0xec8d4efa, 0x8322c2da, 0x493cd8bb, 0xa7836ad4, 0x7334047a, 0xc1b762fd,
+    0x217ba9da, 0x6ec9ad3c, 0x1855dbae, 0xe5d38f96, 0x8a8debd9, 0x0dcd1aa3, 0xeb86fbff, 0xbf64d95a,
+    0xc4d9fb52, 0xa5606175, 0xf8140c8a, 0x46649b38, 0x8afa2e35, 0x34343aa8, 0xc3927ae0, 0x54ae5715,
+    0xadb19013, 0x69975c88, 0x13753a61, 0x7fbdae1e, 0x583a6ea7, 0x0a106e12, 0x80de817a, 0x34a9415f,
+    0x3e278146, 0x5378b153, 0x8078dee6, 0x189df343, 0x880781eb, 0xbeab0d2b, 0x68c24bde, 0x72d777e2,
+    0x318f372f, 0x1c2bc4d7, 0x7737734a, 0xae935ebe, 0x066cf208, 0x3ebba1c1, 0x7b2286be, 0xfb897239,
+    0x6a7744a6, 0x2f4d6ef8, 0x70caca89, 0xf6699376, 0xac168d4b, 0x77fe6b48, 0x3a7b2864, 0xd4d00825,
+    0x7763656e, 0x7746764f, 0xc7d61f67, 0x343a340b, 0x6f1454dc, 0x3387bec0, 0xfbc310ec, 0x8199d846,
+    0xb7387b25, 0xabc571c4, 0xedf7ad16, 0xde2a75ce, 0x29578b26, 0x53d6f2ee, 0x00b314b0, 0x076a9bd5,
+    0xafc89e18, 0xb8e52104, 0x7586caa3, 0xa9a066e4, 0x3f165af6, 0xb1d2d054, 0xcd9cc054, 0x250e91fb,
+    0x21933adf, 0x747c9d21, 0xfdab8802, 0x571d6820, 0x063864db, 0xae41d09b, 0xe278b8d6, 0x1bd9f6a2,
+    0xb1c0a76b, 0xd1e4c917, 0x9988b171, 0x752a636e, 0x254dc83b, 0x006dd051, 0x51a67d3d, 0x1087b1ba,
+    0xba8c6064, 0x6758dab3, 0x8ef237b1, 0xe285bb57, 0xef7f05d6, 0x5866c76d, 0x509b6bbc, 0x5b64ae5a,
+    0x840c380a, 0x34c8a2aa, 0x2a41dcc2, 0xa79b9e83, 0x207c13d6, 0x1363c010, 0x8bd32361, 0x7014f2fb,
+    0xbf524927, 0x60988468, 0x6ea6679d, 0x903ac945, 0x5c03acc0, 0x5f7ec83f, 0xf678df7b, 0x840e12d5,
+    0x205b8855, 0x66840484, 0x0321e6d0, 0xb88e7205, 0xcce7d37b, 0xfa75467e, 0x3adaa4e3, 0x78fb365c,
+    0x7ab5ad25, 0x5daf3b2e, 0x06c99f08, 0x615a8ccb, 0x6b1b3fc1, 0x2aee7c01, 0x12020d7d, 0x21246eb3,
+    0x1436ee5a, 0xc758acaf, 0x1cdb728d, 0xb6d90933, 0x05486db7, 0x809161a9, 0x5dd05583, 0x816b1773,
+    0xbfdb06c0, 0xcf795031, 0xd07040e1, 0x66a0bf58, 0x51497825, 0x1213d16a, 0x9c00af94, 0xcc90fca8,
+    0xcbb1b3c8, 0xb588ff05, 0x3d605a44, 0x844a885b, 0x809c8c82, 0x490a3e77, 0xd27f62be, 0x0cd391d2,
+    0x1ea339cb, 0xa5cdc564, 0xc26d3095, 0xb2cfced6, 0x103bef5a, 0x1253410c, 0x66f32f29, 0x3fee2f7a,
+    0xbd06344b, 0x47ced307, 0x606a0115, 0x5a50f213, 0x3ff4cd9c, 0xbcea303a, 0xfbf9bfa0, 0x910027df,
+    0x587c5b4b, 0x379b3696, 0xd0ccfca7, 0x64774cc9, 0x79c4a2c4, 0x1abab5a9, 0x61d853d3, 0x257aec14,
+    0x17f1283a, 0x75c3c41d, 0x5a874d25, 0x99b41ee3, 0xbefb38f1, 0xa61c9ca8, 0x614f8343, 0x29c40c93,
+    0xe30b9d6e, 0x03daad7a, 0xe7a00be3, 0xa3f53de1, 0xf24d527e, 0x9338c05e, 0x74ecc3e7, 0x594727aa,
+    0x2cdf7071, 0xd9970d52, 0xdc71be2d, 0x6645b007, 0xcc4938bf, 0xe8170cd0, 0x874892f0, 0xd77a3412,
+    0x7a9279e9, 0xc3a3bb10, 0xca78f35d, 0xac71ffd2, 0xfaae6208, 0x5a467088, 0x48b0cfb1, 0x14b1127f,
+    0x36a1ab1e, 0x56a81eeb, 0x1389e1e1, 0xee971b38, 0xc6acc89c, 0xa1325c14, 0xe47b7b19, 0x20d6b957,
+    0xe858c6a7, 0x55488612, 0xc3720ca9, 0x7b63ba92, 0x504d8787, 0xe19f6fc7, 0xe25691bb, 0x71578941,
+    0x0e1c9273, 0x86f8d45f, 0x5b4a1b17, 0xed7746b2, 0x2d9ea7a1, 0xd9a9eb79, 0x716a6a41, 0x26142c29,
+    0x09f06283, 0x960e119d, 0xfcbc1979, 0xa65643ef, 0x74d7cd19, 0x814eefc8, 0x2a16a306, 0xd818ba09,
+    0xb86849b4, 0xd3dcc441, 0x4af043d8, 0x67964005, 0x9e781c9c, 0xcf18679c, 0x62b89224, 0x8f163fbd,
+    0x90cfc145, 0x78e4cd55, 0x9ab1fcea, 0x4c42ddf8, 0xe997486a, 0xc99c6f61, 0xe3a1b4cd, 0xc92e64df,
+    0x17e816ed, 0x1492943c, 0x3eea2ea1, 0x40fd10f3, 0xec0ed824, 0x80cbc8c6, 0x47eed7ee, 0x9df8c085,
+    0xdeb23413, 0x08fc8076, 0x6dba5444, 0x83f0244f, 0x2666b87e, 0xc82b5126, 0x4f6b3eb2, 0x1b4c6c6d,
+    0x9f479b6a, 0x0057881d, 0x7a0c295a, 0xb4d04ad5, 0xe33c8cd4, 0x98fd88a2, 0x2eeb4615, 0x48d66030,
+    0x39322614, 0x04bd32f8, 0xe005e6c6, 0x3c237900, 0x5689680f, 0xcb55b36c, 0x59d2e751, 0xe61f937c,
+    0x59d65dc6, 0x5e2d0f12, 0x41c8578a, 0x8acbc5ee, 0x8d692904, 0x95c9fbf6, 0x0cda2a7e, 0x4c5e43eb,
+    0x9fdd5358, 0xa2521d23, 0xd6d4d838, 0xefc2b24f, 0xa110a23f, 0x7c9ec3a5, 0xea7578f9, 0xa2f3c8ab,
+    0xedde2ef6, 0x0205f801, 0x2a0c7c50, 0x9581c71e, 0x13f93407, 0xe408479c, 0xb40c4084, 0xf44dcf6b,
+    0x9a35278d, 0xb1d7cb29, 0xc2c81833, 0x3ba2a676, 0x20de2b04, 0xcf26a611, 0x3f24c435, 0x4ddf2f73,
+    0xd3cdf865, 0x3239d154, 0x47a1086d, 0xcb3a4972, 0xac6f5086, 0xa1199808, 0x9a8bf39a, 0x5380d227,
+    0x0f66f3d7, 0x5cdd490c, 0xa5c292eb, 0x6c0123b4, 0xaf5fe1d0, 0xdb5ab1aa, 0xf559fef9, 0x9c35f082,
+    0x0b178310, 0x961afc35, 0x8af732bb, 0x01d8fa51, 0x8492c9de, 0x21501d52, 0x0bae8853, 0x8e97c768,
+    0x72bd645f, 0xa3555c0f, 0xfa79cf52, 0x4df44626, 0x77b72655, 0x2187f9b0, 0x903934d9, 0xbebb2b13,
+    0xcb7d8247, 0x6fea6d32, 0xc9cfbba6, 0xba63c1b2, 0xa0c71fd3, 0x0252a14b, 0xc860af31, 0xfa504b3a,
+    0x70e5dc1f, 0x207295b3, 0x42f950da, 0x8e569926, 0x9e2adbe8, 0xdd0e79a5, 0xd0804d4f, 0xa388291b,
+    0xecbf756b, 0x2ed60450, 0x5674d273, 0x0a0530e8, 0xfca05847, 0x2a8ecbdd, 0xdda71f1f, 0x665e2116,
+    0xbd0aba87, 0x09867eda, 0x4fe17bf5, 0x5c45b89f, 0xc8f1b73c, 0xe650bd0a, 0xa2a27e6b, 0x6c3914f0,
+    0x6f8f5742, 0xc37e1903, 0xdcc5fbe2, 0xd478b38a, 0x729509c8, 0x7f2116f6, 0xf3b7d4a4, 0x96e0a273,
+    0x79355c6b, 0x756a3f6a, 0xcf099fd8, 0xe41b97a5, 0xe2e33b24, 0xf0e3bb20, 0x75d108d0, 0x6bc94e1b,
+    0x49b1e04f, 0x4c304354, 0x5a9e51c6, 0xff0196dc, 0x4239eaef, 0xc039403e, 0x9bb748e3, 0xc9465be6,
+    0x17a545e0, 0xf6842c65, 0x09c8e3ee, 0x3a73a292, 0xd5873cee, 0xc0fed03a, 0xe983b994, 0xc9ae3b8f,
+    0x371e8c66, 0x4ca3e45c, 0x0adf59a1, 0x29bad457, 0x59f43df9, 0x3b324537, 0x24f894bd, 0xd1869eca,
+    0xd5d85b1b, 0x130917e8, 0x384deef7, 0xc4658962, 0x367dec54, 0xc546a960, 0xea804290, 0xc10fd59f,
+    0x92203fb1, 0x75ad7f60, 0x33b8732c, 0x10d766db, 0x10ecac08, 0x6122456b, 0x288fea6c, 0x4842fc1b,
+    0x1bbbe4db, 0x7e52d61c, 0x8f2a2fa5, 0xb64b7624, 0x67f4221e, 0x9898eddf, 0x703d1baa, 0x4154c1cb,
+    0x4c14543a, 0xd8f24631, 0xf188e846, 0x6170bf7c, 0x6931eddd, 0x059f885c, 0x5b995a96, 0x2fda28e8,
+    0xad67c065, 0xefc88529, 0x9abb6762, 0x07efd781, 0xd736cece, 0x0d349a71, 0x2ca47fb9, 0xeb5d69aa,
+    0x00b39780, 0xb48d99c6, 0xf19f6081, 0xd4d8ae29, 0xcf4dabd1, 0x0d3e4a84, 0x2995a3a7, 0x7ba3890a,
+    0x5ec565bc, 0xb98f00ea, 0x427ec7a1, 0x1a7c4176, 0x6ad3b9e0, 0x180e77a8, 0xca1f8650, 0x10182e01,
+    0xdb1bf1a4, 0xe2ddc077, 0x0fba9664, 0x1be0688d, 0x558468a3, 0x09d8da95, 0x598e0a96, 0xe6e46321,
+    0x02506eca, 0x3fb67bc7, 0x4bbecce7, 0x18418969, 0x75d5882f, 0xa1248285, 0xf4412b93, 0x04ada4e6,
+    0x5d09811f, 0x452b7378, 0x8363dc4d, 0x79977319, 0x4b58f4eb, 0xe595e59e, 0xc545155c, 0xe5891116,
+    0xbb9b33c2, 0xa2b63ad0, 0x1f791d25, 0x4a9e729c, 0x4f30bace, 0x7e6aee58, 0xc762d20d, 0xda703ab3,
+    0xcb80b207, 0x9912dbb5, 0x5c3500c7, 0xe97d3c41, 0x12a38e00, 0x277a59d6, 0x55930560, 0x67511a52,
+    0x936e989b, 0x9672e852, 0xea6e2655, 0x642527c2, 0x39da3b96, 0x216d1c09, 0x602c1cba, 0x1fe00fca,
+    0x586c821c, 0xc32c9cbf, 0xa7077fef, 0x5c8fb2fe, 0xfd7f6958, 0x8b3b3d6d, 0x09b2a1dc, 0x3d2bd339,
+    0x7e02c596, 0x0fa1d16f, 0xf85a6619, 0x63592fd0, 0x01632253, 0x165cbe81, 0xb249ba2f, 0x0fa56688,
+    0x907e0688, 0x5ed8307c, 0x93b4dac1, 0xfc91146e, 0xc6498658, 0xa15f17e2, 0xec3c3f89, 0xc962d8f4,
+    0x09ba136f, 0x04e5a5e2, 0x6b1bda1a, 0x43d9d8d2, 0x37f38d35, 0xa38925f1, 0x69a77583, 0x81a22b2d,
+    0x9d8b3f87, 0x65c7f1bd, 0xe9628c81, 0xd7a6eef9, 0x219bfc13, 0xf03948ca, 0x0221879d, 0xdbfe4204,
+    0xd93f32c8, 0xa921ba37, 0x448c9658, 0x559b1e15, 0x1dd83bd4, 0x0537512a, 0xfa7336d9, 0x3d43a50e,
+    0x538f8bb0, 0xb02357f1, 0xa7a86064, 0xbd88db18, 0x1d60e3fa, 0x510a6999, 0x2706d9ab, 0x52a71034,
+    0x1d997020, 0xcf3e01c5, 0x0169414e, 0xbcb5050b, 0x1923a892, 0x771a3ddc, 0x04d9c4ab, 0x7bd5c21e,
+    0xb4d68ebc, 0xa9e3f3b5, 0x2d0f6ada, 0x0a0896a3, 0x5564bdd5, 0xf3aaf16d, 0xd6086b00, 0xd2731ea4,
+    0xf18d8736, 0x8e09d8b1, 0x40911937, 0x15fa4d2a, 0x4b3cd465, 0x488abe47, 0xeb0c4813, 0xc9134666,
+    0xe3b0f1b3, 0xfaa16312, 0x8821344e, 0xb9f2456f, 0x6765ffd0, 0xfbc82710, 0x60baf522, 0xb0c2039a,
+    0x9fdb6ba2, 0xad718a24, 0x419efb53, 0x38996287, 0x73df2dc5, 0x40ecf377, 0xac172ae0, 0xd46ea7cd,
+    0xc2f0fb8b, 0x5f372df4, 0xbdf7872b, 0xe96d0498, 0xec3d7d28, 0x64396128, 0x14ec4ec1, 0xf8e9f711,
+    0x81a2fe05, 0xc9e045f4, 0x2b36e2cb, 0xde065612, 0xf9360571, 0xcc20a73d, 0x5117fbb0, 0x92682c4f,
+    0xd292dab7, 0xbd9822cd, 0x18da0326, 0xd092424f, 0x3239bb7f, 0xf2247c36, 0x9697897b, 0xca73f5b6,
+    0xb644e443, 0x7a2db505, 0x46b0b0df, 0x321854d6, 0x1528fcb6, 0xe8958015, 0xbe555ee4, 0xc12bbdb0,
+    0xd05ecc39, 0x61cb318b, 0x5e583d8e, 0x1ca39107, 0xff70a69f, 0x25a995a1, 0xccec5e70, 0xc783a2d8,
+    0x86bac2eb, 0xd02edd23, 0xf24714e6, 0xa9aca5d4, 0xc0de53e8, 0x79861cbf, 0xf173401a, 0x86b248c0,
+    0xfd53c75f, 0xa613b8d2, 0x88ae6e76, 0x41eb1231, 0x69a4a217, 0x6f9b7e4e, 0x1de9dc10, 0x31f58ff3,
+    0xf27c724c, 0x14c2735f, 0x8769b412, 0xc4a1482f, 0xd63f5972, 0xf6c518d0, 0xcd5bb6a4, 0x66566506,
+    0xe738058c, 0x1461f258, 0x0d5b0f6e, 0x349ed194, 0x18894cd6, 0x9e8941fb, 0x97347301, 0x5cdd266c,
+    0x4b6f4f43, 0x2186f0bb, 0xb5599764, 0x9d212927, 0xfa7c5cb5, 0xf79fec70, 0xee0eec79, 0xc0c43d29,
+    0x7042a11e, 0xb14d549e, 0xf5622325, 0xb8cd8c7c, 0x4e9e9264, 0x7944a2ff, 0xce6f92e6, 0xe42c2049,
+    0xd29813f9, 0xcb4f917d, 0xacd1bcb0, 0x5b4955b7, 0x76ab96fc, 0xd97bfcef, 0x29883801, 0xcacd3385,
+    0xf90e9e47, 0x696a7627, 0xb2d223f4, 0x5340d61e, 0x67947098, 0x94d0fd1d, 0xd76bbdb1, 0xb7e1bb0b,
+    0x496c103c, 0xa14211c7, 0x40985d0c, 0x40e41448, 0x16eb0856, 0x9929a20b, 0xd204da26, 0xd92030f0,
+    0x89784a32, 0x7902c10d, 0xf7c865c3, 0x2e46b848, 0x6e183a36, 0xe5bf3c1a, 0x07d7794c, 0xa86e36ad,
+    0x5e1f542e, 0xcb946bdd, 0xee9f13cd, 0xb6ef6269, 0xf8dbe99a, 0x9fe3cef3, 0x999df23c, 0x2d2a9085,
+    0xc5df6e81, 0xdc2d4f23, 0x4c9e3e18, 0x85ea62b7, 0x93a0140f, 0x595e9728, 0x5a443b64, 0x1d2d198b,
+    0xea197a83, 0x9f522e31, 0x605d9064, 0x2376aad3, 0xeb909b84, 0xf429bbe0, 0xce8e4896, 0xed5a0786,
+    0x70975b52, 0x875fcc96, 0xb34fe49e, 0x05caf382, 0xd51302e9, 0x4c6e8641, 0xc17acbe3, 0xb115dbd2,
+    0x435777d3, 0x9629735b, 0x4980fc85, 0x8e1c4bb5, 0x530c6015, 0x2360b799, 0x7691eaa4, 0xbedd86a9,
+    0x5e6a4ef6, 0xeb484f1d, 0xe8c88eed, 0x82f0f89d, 0x9b5c9f2f, 0x8dd87807, 0xf572f47b, 0x6b585704,
+    0xe781326a, 0xbc39b590, 0xcd1c130b, 0x03bdd7f1, 0x3d9c49fa, 0x1c955fc7, 0x913cb308, 0xac89ec6f,
+    0x863601b8, 0x96e44cc8, 0xe50d0954, 0x1e991fbf, 0x9e417cdd, 0xc7763468, 0x24615ce9, 0xbc77daec,
+    0x74d6a897, 0x6f8109dc, 0xf8411926, 0x5f68b12a, 0xfb9dfabb, 0x00fe2a5b, 0x8c86438b, 0xefec1416,
+    0x5e7f41ae, 0xa32ab4b9, 0xbb61ab7c, 0x09831bfc, 0x5a5db755, 0x71dda663, 0x26a46406, 0x2cd40291,
+    0xc148dacf, 0x518c76aa, 0x12571a19, 0x60031dcc, 0x9a8aeb14, 0x4687d961, 0xbb29b99e, 0x81db9ae8,
+    0x00000000,
+    0x8317076c, 0xc08588ab, 0xe98be66b, 0x4dfdf461, 0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940,
+    0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000001399840463861127631598401\
+                          42535527767382602843577165595931249318810236991948760059086304843329475444736 */
+  { 0x00000000,
+    0xcf474ebe, 0xaba3bdd3, 0x6ca2d6e7, 0x5b493071, 0xc00d8969, 0xf0c5af2b, 0x32ec6269, 0xe5624684,
+    0xa6c2f0b5, 0x7314f9ac, 0xeb8897bb, 0x6a58003b, 0x0f6add68, 0x154f0830, 0x4c69e911, 0xb627f551,
+    0x5dfafe3c, 0x5a1570aa, 0x9e24f9fb, 0x06957c70, 0x8b25a043, 0xc0fd0e9b, 0x62ae6d5d, 0x007cc117,
+    0x7f351553, 0xd975e413, 0xf430b733, 0x4e81bdfc, 0x4d63fe0e, 0xdc329ec9, 0xeb639e90, 0xc4a30604,
+    0x21544b76, 0xfb486476, 0x56db00e7, 0x45e10331, 0xf8655802, 0x75a7d5b0, 0xd76b18f6, 0x81f54eab,
+    0x53353457, 0xafe3efc8, 0x88f4312c, 0xf3034275, 0xba212c83, 0xfab73475, 0x36ab6c48, 0x9532ea01,
+    0xee6f8855, 0x5b66f6a7, 0xe5bb7daf, 0xddafa513, 0xf8f6abe6, 0xbc992877, 0x215215c2, 0x879ab57f,
+    0x523bb6ac, 0xbba25311, 0x07f0f695, 0x980e1c7a, 0x962e4c65, 0x33da991c, 0x04c1414b, 0xfd327b04,
+    0x0aa5fb1c, 0x25e1b403, 0x5cc85bd0, 0x69b47078, 0x65cad477, 0x8f6f9dcf, 0x1d5096d0, 0xacba3cac,
+    0x28c6e118, 0xa07d9239, 0xe88beb74, 0x7400d5c2, 0x723a7fe4, 0xe311789c, 0xde935001, 0x2b961c68,
+    0x11022f51, 0x8fdf4809, 0xbb6abcf1, 0x199d50f3, 0x187784bc, 0x7f3d316d, 0xb0de151b, 0xff1ec5ad,
+    0x75307bd7, 0xd22f5c4d, 0xfc8814d9, 0xe7fb401b, 0xd6834a9d, 0x3f9879f8, 0x5321b61a, 0x14c36117,
+    0x006f5f8e, 0xa0304b36, 0x542b8361, 0x36d98069, 0xc0d42ffe, 0xe4ad3a4b, 0xdabb7cdb, 0x696de509,
+    0x892fa2cb, 0x5c8e352e, 0xd3600331, 0xc99de36c, 0x79255c11, 0xdd91420b, 0x300dab6d, 0xeceb022c,
+    0xc08e22c2, 0x1bc5b942, 0xb6cb9e5c, 0x44d8f878, 0xf0666e7f, 0x408e21a1, 0x5bf18c43, 0xa0f5308a,
+    0x67297aa3, 0x39f14640, 0xea94a54d, 0x541b9fa5, 0x23fba3d9, 0xfdd54534, 0xe33c8a60, 0x5a1ca094,
+    0x119e625a, 0x799d367f, 0x7529bb94, 0xd28882b7, 0x40de2da1, 0xa53c15cd, 0x3bcd8fe1, 0x5ecf6e28,
+    0x19444300, 0x08690490, 0x9bb57222, 0x30914d67, 0x6e3318d0, 0x5fdd1f1b, 0xdd7590f6, 0x01d34030,
+    0x8654b244, 0x37978f8a, 0xfcd6f41d, 0x50225aef, 0xe4948373, 0x89edaa1d, 0x8e9f58a4, 0xad34cb3d,
+    0xe2c56b38, 0xe88d959f, 0xee7a9f06, 0xfd7a3954, 0xa06eebe5, 0x75880ad2, 0x25460595, 0x73a00d4c,
+    0xc83ff84c, 0x14596279, 0xbec158b0, 0xd68e7744, 0x9c209cac, 0xaf90da83, 0xfe289525, 0x12248daa,
+    0xd00eb64d, 0xbe3316f2, 0x346a0c89, 0xa63fb2a4, 0x307a1a84, 0xcb3bfb9f, 0xad90bdf0, 0x4cb3f007,
+    0x7bd422de, 0x7f547bbd, 0x6ff65964, 0xfbdd61d2, 0xbedd5d60, 0x6e7e7835, 0x5867155c, 0x2251bf96,
+    0x13b3828c, 0x43cfae85, 0x643d2bd1, 0xd43dfa4d, 0xe77a53c9, 0x7d65b88a, 0xb4e543b7, 0x6b4d233a,
+    0x3321e8bb, 0x8bb3838c, 0x57ba80a8, 0xf03795bd, 0x1b925b0b, 0xfe66d914, 0xd181b169, 0x83c7791a,
+    0x423f3b22, 0xc8bc6757, 0xa7fa4bc5, 0xed737d59, 0xae9f02f3, 0x017fd8f8, 0x70f91d87, 0xedba1c0b,
+    0x196d4860, 0x7b0574d1, 0xad2a7f7c, 0xe6410eea, 0xfba4331c, 0x17619714, 0x25167829, 0x344c7cba,
+    0x9eee48ac, 0xa7bf941d, 0x8e175a4c, 0x86c9149b, 0xca46771e, 0xa1728037, 0xf850ea12, 0xd83b7d63,
+    0x7e0f44d2, 0x967a2a69, 0x670f8d72, 0x21df327c, 0x47716df0, 0x81c5c229, 0x8a624d04, 0xc7d133de,
+    0x97cb7ba7, 0x5a6cffa9, 0x80c49bba, 0x0f5c001c, 0xd32367a5, 0x9c40d993, 0xc8af082a, 0x01ca0097,
+    0x63a53703, 0x48526100, 0x873f6dfc, 0x829b11b8, 0xf4011a9b, 0x7b2cb9f8, 0xd9a27357, 0xb0daa479,
+    0x8c124ffb, 0xa12ff621, 0xdd62cb96, 0x17b8c10e, 0x7c2de7a1, 0x16cf121c, 0x7e73b05e, 0x608b365d,
+    0xbd89faf3, 0x28110bf3, 0x2becc6d6, 0x80f70e10, 0x360f5c4e, 0xf7c7e553, 0x75d2bdca, 0x7e278f16,
+    0x4167bee3, 0x727b7163, 0xc136a679, 0xff7280a5, 0x7080db17, 0xe2c7ca56, 0x3e6a1623, 0xb34d2aa0,
+    0x7e6dc2fa, 0x89535c47, 0x296308e0, 0x108871f3, 0x0f490c15, 0xd4c02531, 0x0ec66a54, 0x15ca2a1c,
+    0x4409e6b8, 0xa72a4403, 0xf374239d, 0x6bf0c55e, 0xf9a837c7, 0x16b7d5d1, 0x4455c6c0, 0xc540ab61,
+    0xee355804, 0x372f6636, 0xb3e2343c, 0x3abd8e73, 0xb4cde893, 0x5dca2c83, 0x25337ac8, 0x59318c38,
+    0x18418a46, 0x1548d7c7, 0x647dd500, 0xf6d4821d, 0xa59e6567, 0x50be331f, 0x1b7c8ea6, 0x0b30fe7e,
+    0xb61123f9, 0xa4e60312, 0xcf67bd1c, 0x10a66c8b, 0x97048104, 0x4d44201d, 0x9e248228, 0xe30e84da,
+    0xbcd32803, 0x7aa24ae0, 0xec584302, 0xc3e22134, 0x953bde20, 0x1e3c9343, 0xe7fe0abe, 0xfa331315,
+    0x3dbd3f8a, 0x345fcc9c, 0xf05ff4eb, 0xd640b4b8, 0xbf5a157f, 0x137df71c, 0x1fabc995, 0xa8346eb4,
+    0xeec54aab, 0xe90650cb, 0x389d99b8, 0xe010e273, 0xca21313e, 0x3776e4cd, 0xdf793f10, 0xcea82b9a,
+    0x595058f0, 0x75e9c95b, 0xb91286a3, 0x2c32b285, 0xe30ebf5d, 0xc33ade6c, 0x33dd7913, 0x321074b0,
+    0xf6bc4cc5, 0x39a7027a, 0x68a16965, 0xe2e432c2, 0x1924c35a, 0x7006faad, 0xe0e5c77d, 0xc9480fda,
+    0xaa552488, 0x4b8b7a13, 0xa0a751b9, 0xd0402915, 0xc021ad83, 0x2c8e07d6, 0x84e49f23, 0x9acb559a,
+    0xa23eebf0, 0x6f7b9de6, 0xdd012147, 0xedd831b2, 0xa90cf663, 0xf753b860, 0xf44184bc, 0xf0854831,
+    0x0a804b8d, 0x72948087, 0xe1c163ff, 0xdb4acd2a, 0x70d10622, 0xdd59776b, 0x9b442a73, 0xa3f5cf9e,
+    0xba726f94, 0x4095245e, 0xe3c7b5e7, 0xe19e2ba4, 0x2e4465a1, 0x927701fe, 0x96c3c9b9, 0xecd9231f,
+    0x47bd697d, 0x115595bd, 0x43df0ed4, 0x0c5d38bd, 0x8de49047, 0xb4714944, 0x5aec7ac9, 0x224cd7ac,
+    0x05e9a92c, 0x5784874e, 0x20a0bcb9, 0xcb6ac0a1, 0xaeb096e2, 0x03731e24, 0x8ee8cfea, 0x42768fc5,
+    0x47279643, 0x652581f9, 0x751d578d, 0x0ab5468c, 0xaa6faaef, 0xf338a4c0, 0x0143de6a, 0x846b4023,
+    0xff09960d, 0xf7530b08, 0xfe8b07a0, 0x7de319c2, 0x3acc2500, 0x2924012f, 0x9d347ea4, 0xe5eb9b6e,
+    0x136f2823, 0xc3201465, 0x52ec2d8b, 0xfbb65d6b, 0x7be98573, 0xf7b1948f, 0x7cd0106f, 0xce28203a,
+    0xbd54b0ae, 0x0993ca61, 0x4186fca5, 0x9512a281, 0x83e22687, 0xac942342, 0xaddc4316, 0xa19eba3c,
+    0x0ecbc304, 0xe606f4f9, 0xaf07d2bf, 0x0cc0f8d0, 0x1ee77383, 0x53280c69, 0x9713e43a, 0x79624997,
+    0x60b9eca7, 0x5594439b, 0xaa29c05e, 0x6921d338, 0xfefd6f26, 0x8208d1c4, 0xe61331ac, 0xc07610b9,
+    0xf68a2c24, 0xea5d6437, 0x771c6447, 0x167cb0bc, 0x419bd3cf, 0xf7429473, 0x44e60190, 0xb41029d0,
+    0xba62444b, 0xa7fed0a9, 0xfdebda68, 0xe61f03b5, 0xdec0babc, 0xed82c569, 0x5b64dad1, 0x260c9688,
+    0x3ab2de08, 0x2c0bfc78, 0xfa168547, 0xe4833cbd, 0x2b1d300f, 0xde501505, 0xf42381f6, 0xb911506d,
+    0x762c82ea, 0x13d4684c, 0x2fafcdcf, 0xb1fbbcb2, 0x298858c9, 0xc8e25962, 0x98b7f1b2, 0xe012be2f,
+    0x44981c4d, 0x00627066, 0x63a808fa, 0x897b9aab, 0xf02dfb45, 0x658f9368, 0x1ac4d144, 0x18807bd5,
+    0x9156c3a9, 0x08a57a7a, 0x63f01d0a, 0xfd8bdfd0, 0x47d8f7c8, 0x645cd0d8, 0x7fc545d9, 0x172ca905,
+    0x5885b06c, 0x152e0986, 0x6e0bf9e9, 0x6c638762, 0xca7e82fd, 0x70f3f597, 0x7ae7e42c, 0x9f68685c,
+    0x5f2238f2, 0xec883e8a, 0xff0eb1ff, 0xb78a910f, 0x73f06cc2, 0x91ef772b, 0x6ba0f08f, 0x750ce8d0,
+    0x89b39608, 0xa40cc477, 0xda8f5b34, 0x89e8aad6, 0x659860ea, 0x6b8a31fd, 0xa6f85263, 0x71bff92e,
+    0x7ac551bd, 0xea5e4105, 0x9592b984, 0xb5c04215, 0x0badb7c6, 0xcdacdcdc, 0xee97c27b, 0xe6d18dbc,
+    0xaf2184b1, 0x890808bb, 0xf7438521, 0x7ea9f834, 0x0b6dbf92, 0x197b383f, 0xf44a2bb5, 0xbb57681a,
+    0xc29ae601, 0x8ab7a964, 0x145a26c3, 0x7478d5c9, 0x1279a37c, 0xb9a4aaf0, 0x518744f2, 0x9ec2d263,
+    0xe6e805f8, 0xcceb42ad, 0x296ff0e2, 0xa9fc470d, 0x65110d96, 0x0921ed5c, 0xdff8b17b, 0xaea5747f,
+    0x4196a0a6, 0xc3fcf6c5, 0x9c72a6a5, 0xe5474272, 0x6e0addc5, 0xe404a7d2, 0xa7161f92, 0x6fbf386b,
+    0x13cbc111, 0xaf7a4582, 0x10ff20bf, 0xaaa4f14f, 0x93716d92, 0xe40741fb, 0xe5b8ee5a, 0x6314d585,
+    0x29c7c1f1, 0xfbb06ade, 0x60a3c66f, 0xf86ba046, 0xa9f72f45, 0x1f572ea0, 0xb4f8314f, 0x89c22099,
+    0xe643e2f3, 0xaf875265, 0xc2e2f764, 0xcee1d31e, 0x58e44501, 0xfc0e840c, 0x769e87d2, 0x24815684,
+    0xcff996e8, 0xe2af4bdf, 0x12a6d2b0, 0xa0d3254a, 0xffa24531, 0xd6f17232, 0xe659207b, 0x9c7ecc65,
+    0x1d919225, 0xbd4ab499, 0xbd0d446b, 0x4cd7be5a, 0xead0b3a5, 0x4ab9f627, 0x5f02ce5b, 0xde5888bd,
+    0xe1b1c818, 0xc48505fb, 0xdb2db52a, 0xbc8854c4, 0x1d655bfd, 0xb84d681a, 0xdb32beef, 0xfa21e60c,
+    0x91589a53, 0xa5a63101, 0x6ebbb96e, 0x495ba26d, 0xaee19790, 0x7bddf474, 0x37d8c4e1, 0x924461c7,
+    0x0adf1e3f, 0x13a847d1, 0x62a410fa, 0x320ad358, 0x23008edb, 0x2acec6d0, 0xf1e6ae48, 0xcfe2978b,
+    0x7973b722, 0x0b0674bc, 0x302278f8, 0xc36a73a3, 0x458799c5, 0x0c6f7d71, 0x77252da6, 0x97085df6,
+    0xd549802f, 0xa831d2ea, 0x3b9f3f19, 0x773e0b75, 0x34bf5daf, 0x7b485f3b, 0xd1359208, 0x8d8ed79d,
+    0x5c0b066c, 0xeaa302b1, 0xe72d48ca, 0xf08b3b7c, 0x5cb798fd, 0x6b2c2197, 0x80220e96, 0x69941319,
+    0xb7eaefb7, 0xbb242060, 0x3d7e5508, 0x14e75ddd, 0x6f68d2b2, 0x33337688, 0x4944dcbf, 0x13d1c1fc,
+    0x5bfe7367, 0xa5392232, 0xabff579c, 0x11625e22, 0xba089bfe, 0xc7de563d, 0x00eaabe7, 0xef71222d,
+    0xe2f67263, 0xbd6413f9, 0xad2e9e67, 0x9e3ffd68, 0xda81eab4, 0x93b90bde, 0x6893394f, 0x3c390f38,
+    0x3bafd836, 0xacd53394, 0xa09acefd, 0xfde801bf, 0x611132cd, 0x39ebcec7, 0x9b5f8bcd, 0x1e5eb31a,
+    0xf8d69a9e, 0x123dff46, 0x458918bc, 0x72a06518, 0xb8001e48, 0x15bc389d, 0x7290d6c4, 0xa0725183,
+    0xeab09731, 0x57154c64, 0xf73cdaa9, 0x6810d30b, 0x871509ca, 0x452297a4, 0x16cdf732, 0xce80a698,
+    0x8fb1e272, 0x23e2a5fd, 0xae9e28bc, 0x9a9116f2, 0x20242d49, 0x30e72910, 0x8288cabb, 0xb5511516,
+    0x28d81264, 0xc90b5b80, 0x959311df, 0x42202e4d, 0x6da588b8, 0x18c07677, 0x6c39f1f0, 0x2ef186d1,
+    0x295f1f64, 0xc5f5c740, 0xeaa89c5c, 0x00dea727, 0x4ad1bc63, 0x16479141, 0x3a9bd8a0, 0x014302aa,
+    0xc0558856, 0xb91884c8, 0xc82ae5c9, 0xa2ecde6d, 0x35f113a4, 0xe3e052ab, 0x8db19f38, 0x663b634c,
+    0xc476f0ef, 0xc954e479, 0xd121a71b, 0xf1e5259c, 0x12bfc58a, 0x593649b7, 0x73aa79e2, 0xb0575277,
+    0xd129b458, 0xcb556f21, 0xb17b4f14, 0x02426105, 0x1cb92836, 0xbc899fe6, 0x00d8d1f1, 0x09d93b6e,
+    0x5fa9e01d, 0xc70f4fa6, 0xd9443c23, 0x1dd4d03c, 0x172295db, 0xe2c60998, 0xb1396877, 0x7b8faa87,
+    0x533f21c7, 0x6fd23295, 0xe5f4e321, 0x8a07147c, 0x3734aa77, 0x32edae83, 0x80cc49a4, 0x337e11bf,
+    0x40c87b76, 0xd7ef4468, 0xf96f83e9, 0x0ceb10d0, 0xa611239a, 0x1b836532, 0xf56cc53b, 0x93212756,
+    0xc2e28c58, 0x2683f45a, 0x6805ca4b, 0xb182a8f8, 0xe4ff7a1f, 0x67c0bec4, 0xfb0d7aca, 0x13624156,
+    0x68940f67, 0x96f07bf0, 0x2cbfeb16, 0x0c93fbf3, 0xbc2636df, 0xf3d061c8, 0x6e853784, 0xfbd74df9,
+    0x141b37a4, 0xf074599c, 0x6265f315, 0x82ab5710, 0xb21fe3ed, 0x6f18ea2d, 0xefbf55b5, 0xa3419d13,
+    0x483d15d7, 0x3c5bbab9, 0x142206e2, 0x26b29a3c, 0xb8461c55, 0x591064e4, 0x7a036a9f, 0xb071e420,
+    0x402ac2cb, 0xd733bf53, 0xa523b7fb, 0x165d762d, 0x5a1f20ef, 0x8a0ffccb, 0x46969c8b, 0x05d9660a,
+    0x8614fb50, 0x2f44f55a, 0xf90aca9c, 0x0767a37b, 0x430f07d5, 0x809f9426, 0x03b4f7d6, 0xef23cc6e,
+    0xdd45baab, 0x769c261a, 0xd27f0a12, 0x6a990e96, 0xfb3cf0c9, 0x810cecac, 0xa17b5916, 0x28bcfd7c,
+    0xbac72d6f, 0x62d7ca51, 0x7c9aafe4, 0x44dc3aa3, 0xc7f7f02a, 0x13b8b72f, 0x589d81f9, 0x73f8bfb2,
+    0x2eb85dbc, 0x2816f448, 0xdb224ec8, 0xc7c94086, 0x031e6919, 0x8a95769d, 0x3dda7bbb, 0x804b2b49,
+    0x04551f76, 0x45434750, 0x4cb9e254, 0x104afef4, 0x7da2913c, 0x60fedf4d, 0x96daf642, 0xa8d75855,
+    0x5372e04d, 0x4255a2a5, 0x046d712d, 0x2b71c7b8, 0x2fa38919, 0xb1370065, 0xc1009422, 0x43a7c2c8,
+    0x24bb298a, 0xb0328c12, 0xd8f05620, 0x200184ba, 0xa406f4fa, 0xac8fdf4e, 0xe9c39889, 0xd12ea819,
+    0x61f28377, 0xc8f35528, 0x15a395e8, 0xbca5c8d1, 0x8a698c5f, 0x58346588, 0xfebb70d9, 0x540fa700,
+    0x820b73a7, 0xde9ff231, 0x6c3b293b, 0xd7f0f2fe, 0xcd64ca1a, 0xd8d1e293, 0xf61c27b3, 0x3e197c8b,
+    0x5b169798, 0x42f25d25, 0x89db1cb4, 0x3d10b373, 0x83da1e6c, 0x9d7aa538, 0xee3711cc, 0x66b00aa2,
+    0xfa88f70f, 0xb5c57de9, 0x1ddba3d4, 0xaca78db2, 0x4b61c390, 0xdb111722, 0xf589cd15, 0x0eccc973,
+    0x81d4316b, 0x18a6353b, 0xb2536383, 0xa76c9fb7, 0x488d1deb, 0x1e0c97a7, 0x30590318, 0x5d417bb4,
+    0x9bd4524f, 0xe2de6a69, 0xffe40641, 0x0ec502dd, 0x41a90e0a, 0x2c19dc4a, 0x23d054e8, 0xc3c95bd7,
+    0xd5cb4ee1, 0xb8d1b4d8, 0x331b2711, 0x2a0560ad, 0x08978968, 0xdaa1b6b8, 0xdd04eff6, 0xe014cca5,
+    0x22eaf26e, 0xaed85ea0, 0xf40eba30, 0xfa2c6300, 0x2149ecd4, 0xef46b961, 0x960220f7, 0xd61b63b4,
+    0x559188a5, 0x6c410e44, 0xa5be0bad, 0x8b165674, 0xb912a0c9, 0x5e702fe2, 0x9656c062, 0xe49ceeb9,
+    0x8b004114, 0xf4effb10, 0xdd9b2695, 0x785824ae, 0x9c172c97, 0x4d3d7003, 0x6a2f16d4, 0xac3a4492,
+    0xf902a874, 0x984b8101, 0x12ea3111, 0x075887c4, 0xfb701358, 0xf6c4fd29, 0x634a5957, 0xee5ccf99,
+    0x317ee9df, 0x0d4d9888, 0xe1c173aa, 0xbd823198, 0xc1bdbfec, 0xf46b895a, 0x4b5010b3, 0xe8418259,
+    0x716126ed, 0x27d23fcf, 0xab6dd70e, 0x8dad99d2, 0xcc997c5b, 0x9422d813, 0xff3f2318, 0x7b9aed9d,
+    0x1131c878, 0xc4b8c21a, 0x65fef8d4, 0x9050dae2, 0x2377b785, 0x66379bb3, 0x5834ba8e, 0x33cbe5e1,
+    0x60d3d94b, 0xbecf7f99, 0xe66e50e1, 0x0941f315, 0xac878d18, 0x1a0c8b7e, 0xca101699, 0x4ed28a53,
+    0xe3e31e1e, 0x816f8abc, 0xcd9a9e8c, 0x7237d752, 0x98d0f1ed, 0xf01a7c60, 0xbe8c39df, 0xa1cb8cdb,
+    0xb34d4040, 0xd8f1d353, 0x200fc047, 0x1b514654, 0x04952378, 0x5063e61e, 0x80c57141, 0xc22e6aef,
+    0x6214f542, 0xa26b46c2, 0xf71d3a40, 0x2864538e, 0xac57be13, 0x199b41df, 0x1701cb82, 0xb6540ac6,
+    0x00000000,
+    0xc18b83b5, 0xe042c455, 0xf4c5f335, 0xa6fefa30, 0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0,
+    0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000699920231930563815799200\
+                          71267763883691301421788582797965624659405118495974380029543152421664737722368 */
+  { 0x00000000,
+    0xd750cdaa, 0xc598e2b3, 0x4e650059, 0xa7b9e2b7, 0x68ac66e5, 0xacb913d1, 0xdabbadbd, 0xd88d3c3b,
+    0x6624cf9b, 0x23590f52, 0xc1d8c9b7, 0x4b5a7516, 0x09e50f22, 0xa5a3da1a, 0xbfdc6325, 0xc3feb674,
+    0x8a3c68c8, 0x89e8873c, 0xcf8c8370, 0x27ac35e0, 0x83bdb2b0, 0x0c970273, 0x384201ae, 0x3e98cfb2,
+    0x7edbd0f5, 0x27fb572e, 0x96555477, 0x6fe53e51, 0x973d71fa, 0xb659b966, 0xc1df8457, 0xc03ce309,
+    0x9d5e0edc, 0x1fc164b3, 0x5a2955e1, 0x2ef73168, 0xdac96bb5, 0x41e56f86, 0x349549f6, 0x355252a6,
+    0xaa6536f2, 0x49b06732, 0x5e9d078b, 0x71568568, 0x0737604e, 0x2c8c39ad, 0xdff736d5, 0xf50105a7,
+    0x0acec2b8, 0x827649ef, 0x8e4db687, 0x796ad202, 0x917857f9, 0xfa1a5378, 0x751fbbd9, 0xea630a8e,
+    0xb6e90136, 0x3016835f, 0xeda7e006, 0x009c3620, 0xefea8f82, 0x08ee1717, 0xb9892fba, 0xe1ead181,
+    0x566f6682, 0x331693d3, 0x834218b5, 0xb01c9ca4, 0x8998aa71, 0x5c0933f0, 0x62baba5d, 0x791ba9db,
+    0x0e4c5a9a, 0xf868a84f, 0x541246f7, 0x934f1b94, 0xa605f4f5, 0x326c1249, 0x76fe8b35, 0x7b8985ae,
+    0x74db1109, 0x636b7143, 0x11171ec0, 0x6cb2524b, 0xa5d04264, 0x5dbb64ca, 0x071c50be, 0xb0db49d4,
+    0xb754db6a, 0x5b5fb2d6, 0x6f661f18, 0x262628df, 0x8e7e55ae, 0xbaeeae8f, 0x7b774b5f, 0xdc35c9e1,
+    0x70c118f7, 0xe9207790, 0xc7f25af7, 0x20d8a247, 0x2cbea688, 0x6aa6f8b3, 0x37656a3c, 0xd5742391,
+    0xde46651f, 0xf1947a3b, 0xe875559f, 0x55e35e4a, 0xfda27807, 0x89b9a01e, 0x573c8ec7, 0xe2489b55,
+    0x12088e19, 0xfa7e60b9, 0x620537ed, 0x34c1ef2f, 0x5636c94f, 0x271bcaf7, 0x196c404a, 0x4c81b7a1,
+    0xbe483706, 0xe1e213d3, 0xe604e357, 0x62a66b3a, 0x034353a9, 0x60cc59f7, 0x72f803d3, 0x041b491c,
+    0x620da8cf, 0x19a37c78, 0x7311a1fa, 0xacc97d8a, 0x6c6dfc2f, 0x78b7006d, 0x9850f0d3, 0x5b6092d0,
+    0x5a7818f5, 0x03941b66, 0x31c1bc6e, 0x7475c2d9, 0x25140204, 0x6ec019ff, 0xd60163a3, 0xeda14626,
+    0x07113679, 0xd1a6add6, 0x60443630, 0x8b95fb9e, 0xcfcbb280, 0x3d94a40a, 0x12abd271, 0x5a319781,
+    0x4ee01cb0, 0x342a03db, 0x58d42c11, 0xbdb5c85a, 0xb26f5ac8, 0x7d8584b8, 0x44047229, 0x426367d2,
+    0xfe09a189, 0x6ec50696, 0x0124cdf6, 0x8fcbc830, 0xcd88ec93, 0x9d775843, 0x13317867, 0x43676a11,
+    0xa7729afb, 0x1ebb88e6, 0xbd401e69, 0xd2032993, 0x838dc406, 0xb015a182, 0x53be109d, 0xb6806406,
+    0x578f6303, 0xe6b14754, 0x3f8c3bf0, 0x4990423e, 0x779f53bc, 0xfe138c96, 0xa66d8ced, 0x201ab16a,
+    0xc75c8c51, 0x991da6b9, 0x8e7b2880, 0xf7a05f28, 0x063424b8, 0xa46e574f, 0x6ae96bb2, 0x3056bad0,
+    0x4f721e3f, 0x7e3a1f2d, 0x11d8785e, 0xc5c5a557, 0xfed1f184, 0xf3333403, 0xde0cfcc6, 0xc763795e,
+    0x9dd32792, 0xcc3c5571, 0x4fa24cc4, 0xe9732544, 0x074339e4, 0x0892e0cd, 0x73e66cb4, 0xf5a48a46,
+    0xc17d463b, 0x7ec6d83d, 0xb0c76651, 0x48322fc9, 0x21772f97, 0xf3d80955, 0x9bd28d72, 0x2f968c43,
+    0xcee238d8, 0x2a25a4ae, 0x4a620b71, 0x9d94ac61, 0x255fc632, 0x8335ad87, 0x6f365555, 0x917f95b5,
+    0xaade8319, 0xca10a599, 0xc942cc75, 0xb7f8beac, 0x3ab91a3b, 0x56a5dba7, 0x3696dcc6, 0x1c5a3493,
+    0xbfaf1053, 0xddd796f4, 0x64c9d573, 0x60ad4a85, 0x3b54440a, 0x578bbbb5, 0x051753ff, 0x3c01870b,
+    0x7b4814e5, 0x70716692, 0xcb87a53c, 0x274bd4ed, 0xef86546b, 0xf7fe33d0, 0x85990d6c, 0x52b86955,
+    0x177f03c4, 0x06918f96, 0xa131115b, 0x3e012830, 0x5d2a3e70, 0xbb581dad, 0xb47b217a, 0x131c9086,
+    0x4e5be691, 0x085659f6, 0x2e303a54, 0x1964fe01, 0xfc2bf6ac, 0xe2f32b63, 0x22c8311a, 0x02288368,
+    0x706a3e92, 0x5d3ae0b2, 0xde37d690, 0x52b59335, 0xdea193d7, 0x0d588c1a, 0x324872a7, 0xccd8d270,
+    0x93f18c8c, 0x6f056ed4, 0x7bc8e034, 0x7701a383, 0x1de469a0, 0x8755fcd8, 0x62b5db0d, 0x183d7831,
+    0x1c271e39, 0xea79e482, 0xae7db629, 0x1272c0a0, 0xa3258207, 0xb78c19b1, 0x8ea0bea0, 0x416a8574,
+    0x80f6e5b2, 0x31a9fd34, 0x08a29a12, 0x2847193f, 0x0856310a, 0x668902e5, 0xed7bc30c, 0x89e7fb08,
+    0xc5f10c42, 0xa22bde8a, 0x2a8ea300, 0xea0ace7f, 0x073642b3, 0xc9ecf150, 0x03021ef2, 0x1e7e1703,
+    0x89fbba67, 0x29170a2c, 0x11fefe03, 0x94296102, 0x657704e7, 0x0642f201, 0xa21246fd, 0x19cfdf74,
+    0x21df8ad8, 0xa157f925, 0x1f011919, 0x47de612a, 0x4ed5a5dc, 0x43c34d9c, 0x02da2303, 0x265e2a79,
+    0x666b1056, 0xc59b6d5b, 0x136db83a, 0x297da5d0, 0x638c8af7, 0x8b6fa028, 0x9bbed348, 0x2dc22a84,
+    0x19cd26cb, 0x67dcb421, 0x162af279, 0xd7d32c79, 0x59b7616b, 0x14fe29cd, 0xb6accfdf, 0x4acc5080,
+    0x35db21d2, 0x6a99e2ab, 0xfeff5093, 0x2fe23f60, 0x00addac1, 0x80b44072, 0x113207fa, 0x944c97ec,
+    0x28c3fe3a, 0x33e1085e, 0xe3f93d56, 0x76b46ed0, 0x7b4a89ad, 0x403d427a, 0x09e5ade9, 0xe8ef314d,
+    0x28fd8ad2, 0xbcfb71a7, 0x39afd5ee, 0x2b06d707, 0x70a97c5f, 0x0285723a, 0x05cc581e, 0x7784df10,
+    0xc4da677a, 0xaea90dff, 0x13484a28, 0xdcaffd73, 0x5e3c7959, 0x47a92da0, 0xd2cb47f3, 0x2b8f3dd4,
+    0xc7b764e7, 0xf279b1b4, 0x301713e7, 0xa9971de8, 0xa6fd33c5, 0x76490745, 0xbf55c5d8, 0x04218956,
+    0x8726e793, 0xb1960f72, 0x02915326, 0x7c9d98c7, 0x1b54523e, 0xb051dff4, 0x9632ed77, 0xb33bbcad,
+    0x57bcaa13, 0x8fe7d8ac, 0x97fd855a, 0xc0b24c4e, 0x6925d226, 0x1dee33ec, 0xdec3909b, 0xf7f565b9,
+    0x7c5bc429, 0x6d33b176, 0x02ff6027, 0x564f1123, 0x511e8184, 0xd8459dc9, 0x5163550b, 0xb042a143,
+    0x3d82a964, 0xa8962e32, 0xd7a311e4, 0xf319161f, 0x10709a99, 0xc4eb4423, 0xd7b3efc4, 0x269b46d6,
+    0x863a995e, 0x3e0bf663, 0xbf649935, 0xa88592b6, 0xcc9baa44, 0xe8fe4385, 0x0058c2cb, 0x67df5c66,
+    0x9497ba97, 0x11707886, 0xcb280f4e, 0x7740e53e, 0x1d21b1ca, 0x7a37e60f, 0xff9141a0, 0xc8182b55,
+    0xf01e6c2f, 0x0156e2d3, 0xe20f1828, 0xa81553bb, 0x26aedeb4, 0x94073de3, 0x649967ea, 0x34918e4d,
+    0xec2ee438, 0xfdc6af5a, 0xdd361ae2, 0xdf77ad09, 0x8677986d, 0xebf8120b, 0x316a7b68, 0x57ceef8a,
+    0x08f96142, 0x21b02e8b, 0x9cd2f5ac, 0xd17d2fd8, 0xf2923e88, 0x5140eeef, 0x90090e9a, 0xdc9fc584,
+    0x8fe44a7c, 0x3cfd3890, 0x875f7aed, 0x0bfa0c41, 0x48780037, 0xb9affa21, 0x943739f5, 0x7cce98ba,
+    0x721469f0, 0x289bf788, 0x16795c79, 0x548b39b7, 0x3592366c, 0x605bdbb7, 0xe8ce02d5, 0x8a9180f1,
+    0x8f266e8b, 0x3cb8a0ce, 0xa2badb7d, 0x02181b1a, 0x94a6a224, 0xd233f8ba, 0x52957762, 0x81cea02b,
+    0x4b0afbac, 0xf87c12e1, 0x86ad9fff, 0x909fe9f2, 0x132c77f6, 0x05cc9242, 0x7a0bf68e, 0x8fac49ec,
+    0xc05a17bd, 0xaad5f5bd, 0x7183dc85, 0x74f26c3d, 0x7e17bdd8, 0xca67d494, 0x3653cd69, 0x6c8ca4a4,
+    0xbdb44a27, 0xd9a90b0b, 0xd4118207, 0x112702bc, 0xa30d4c9e, 0xf92fccbb, 0xeeb4eb0a, 0x4e92b0ec,
+    0xf3650836, 0x510643e0, 0xc34d5596, 0x62655735, 0x7c8ef130, 0xde79cdb4, 0x8abecf41, 0xcf76b7b5,
+    0xafc46639, 0xeafa13b7, 0xba95581b, 0xb4f46c3e, 0x6d83658b, 0x561efec7, 0x59ac8d46, 0x5c2c2b84,
+    0xa253fa63, 0x002eabc4, 0x54fbef95, 0xe9bf0d0c, 0xeb71178b, 0x5c95d095, 0xb9c438a8, 0xc32448e3,
+    0x42e9f995, 0xae61826a, 0x4ebf749c, 0x528f0b98, 0xf8713595, 0x34d3f412, 0x15dad512, 0x9af79c19,
+    0xf4ebf3b9, 0x50352160, 0xd2c48a7c, 0x5ceeff96, 0xb848128f, 0xd863c0ca, 0x265e9444, 0x77b24ce9,
+    0x9c2c75a2, 0x8d42754e, 0x0bcefac1, 0xad5e0bfc, 0x53093af1, 0x652dab05, 0xd2151ccc, 0x2017d067,
+    0x0b6b58da, 0x7b14a60b, 0x4df6e66d, 0x30dc1461, 0xee34f92e, 0x4d7e6a69, 0xb68ce2f5, 0x7b418f7b,
+    0x03519369, 0xa17ff893, 0xf963b3ac, 0x6e503dcd, 0x8824cfe2, 0x586eb402, 0x75443166, 0xc9b17580,
+    0x4b7f31eb, 0x3b154a8b, 0x611e63e6, 0xf056da8e, 0xae13a43c, 0xbaa1fc13, 0x655a42a8, 0x4572c9a5,
+    0xf1fbc3cf, 0xdde6af6e, 0x61bee047, 0x967d3645, 0xc8a349ba, 0x2d324181, 0xff454f0e, 0x50fbf2e1,
+    0x9db803e0, 0x9162b698, 0x6b6c5a91, 0x4fc2c19b, 0x35755966, 0xb79f453b, 0xe69bd14f, 0x371f3ea4,
+    0x595cfa6c, 0x8e2ee211, 0x131b4218, 0xba513d92, 0xc0c3ead9, 0x3ff3c34e, 0x021e5a94, 0x9198e325,
+    0x108257bc, 0x586ddbdc, 0x9d4064b7, 0x9c9ffecd, 0x426157a6, 0x55ec05b6, 0x82b28909, 0x181b6f4d,
+    0xf11ea782, 0xc287a078, 0xda3795a0, 0x75e43059, 0x2714634b, 0x2d54d30a, 0xc70e59ee, 0x065a4090,
+    0xe7d453f5, 0xea3d3d85, 0xcab53ca1, 0xd1430b64, 0x25e4dc91, 0x584552ef, 0x1495f8a0, 0x0e88e30e,
+    0x1718b9fa, 0x2cc16b14, 0x70cb8ea1, 0x5a56bb15, 0xd8a0ddbd, 0x435710f4, 0xcb30b11a, 0xf7ea0e98,
+    0xa863b4fc, 0xa82c4570, 0xc94d6e24, 0x6d2d66f9, 0xb0fb03b5, 0x669124c1, 0x1cd94125, 0xe8b7f228,
+    0x0b551929, 0x47aae7be, 0x611e4522, 0x3c74453c, 0x8f255634, 0x311a6783, 0xd12c3cd9, 0xc6e574b6,
+    0x5019b957, 0x504d382f, 0x5cfb2a9f, 0x7f798c00, 0x08513220, 0x7649b84c, 0xcdb9f6ff, 0xe73c8a63,
+    0x5dec5aab, 0x3cae0b47, 0x708b6ff9, 0xf5165fdd, 0x34b0a626, 0x815377ab, 0xea550320, 0x8fe292a8,
+    0x53a79c66, 0xc7c5e3a5, 0x09e22e88, 0xfcfa77cb, 0x00145d68, 0x6f881bd1, 0x3b4a0e80, 0x714814bd,
+    0xebdea49a, 0xe68efa83, 0x841fd2e5, 0x4193dd0e, 0x56b212b6, 0xec097340, 0xa6bb09fa, 0x47c356ef,
+    0x18663a74, 0x3e8a04b5, 0xc2c6e1f7, 0x885f75c0, 0xde55b2e0, 0x334cb23e, 0x915a2881, 0x2c1fe79a,
+    0x835f8fc4, 0x3a1cd713, 0x9c4aa3a2, 0xb25e3cdf, 0x4fae6629, 0x3ddc3d58, 0x55147e63, 0x55b2ab01,
+    0x0491c6f9, 0x0f48b7be, 0x6abe6624, 0x8c6f05f9, 0x9b82ad41, 0x6881e494, 0x3994bb62, 0x84982edc,
+    0xeb437db3, 0x70254721, 0xffb912d3, 0xb7ed9c04, 0xe8e2b28a, 0xc83cb8ce, 0x3bf38977, 0x775de1c6,
+    0xa8e7fa64, 0x46b4a6b8, 0x6dd64d72, 0x33f7a6cb, 0x4ba47ad9, 0xf16f962a, 0xb288717e, 0xf359da57,
+    0x0b2a680e, 0x5a6828f3, 0x5cdb99e3, 0x5dc4020d, 0x66fc6ce0, 0xd1f28cb3, 0xd707994c, 0x3242f955,
+    0xbc61f06b, 0xac76f29c, 0xe7ac8ba8, 0x20d6d5ea, 0x2a3f0648, 0x36ae5246, 0x7a9bec6c, 0xb2306d46,
+    0xb50250d2, 0x079ad71c, 0xf19eb825, 0x405cbfec, 0x0186447b, 0x6a99e766, 0x11ff58e9, 0x17e43719,
+    0xd07b701c, 0x45016534, 0x5fdeb5b0, 0x9381ce7f, 0xc4464772, 0x5d5c4687, 0xc38ed6cf, 0x43acabfc,
+    0x932e7cf9, 0x5a339e78, 0xca06d158, 0x37fe5c6e, 0x806341e2, 0x73870766, 0x6fcb81a7, 0x574bc51e,
+    0xd2ada3c3, 0xe5636d27, 0xd16dd779, 0x2f4e8a72, 0x3f5ab6e9, 0x58238a69, 0x005199d8, 0x75596923,
+    0x9a9fca5b, 0x54832111, 0xd21efcba, 0x6f28ccaf, 0x554d8724, 0xd891c11f, 0x956a8989, 0xcaf2b36a,
+    0xcbf86d48, 0x72df52ec, 0x9ae99443, 0x23376e82, 0xe5ea621c, 0x0347e1af, 0x12a01308, 0x9c08a0af,
+    0x5f9ea836, 0x1aa1ff3e, 0x1791079d, 0x77d38fa3, 0x46731f5e, 0x736c9b5a, 0xf81c7c95, 0xa2c1487e,
+    0xf91e8a07, 0xf1be260a, 0xf68567a0, 0xf62aa608, 0xa9830335, 0x39a6d484, 0x06219775, 0x7c1f4aad,
+    0x328d0ec6, 0x1ee25fc4, 0x52031259, 0x63c2be36, 0x05b4d448, 0x01716a02, 0xcc47a582, 0x936929ab,
+    0x7aa7b100, 0x20b4bd31, 0x13c72e88, 0x2d6ac7b5, 0x53f70999, 0xcf9a1547, 0x4a13ec34, 0x30ed4f46,
+    0xe00ead55, 0x3075b04e, 0xeecc65cf, 0xd8c0871e, 0x8ef9a1da, 0x62049f10, 0x3ee5f494, 0x7f526dea,
+    0xd5697a2a, 0x2d680c3d, 0x268a20cd, 0x0f2eab29, 0xbefbc459, 0xbe3d1c97, 0x88bcc09b, 0x9c9e397c,
+    0x5af39026, 0xf3ac9a35, 0x926b3a2b, 0xefc3146e, 0xab125c79, 0x039a21c7, 0x67c38a60, 0x9fa7e1ec,
+    0x1743e006, 0x95c99a13, 0xf1a30705, 0x006d49a6, 0x9c84c33c, 0x9f59ead8, 0xe669725a, 0x9172db11,
+    0x89385cae, 0x74779baa, 0x7bc2889c, 0x0a66faa2, 0x8bbcaf5f, 0xac04f898, 0xebedf0a8, 0x8ea2af6d,
+    0x9789e479, 0xc0c71999, 0x0bf5ae50, 0x831e79e8, 0xa7ea267f, 0xfd164755, 0xcc83e52a, 0x5a4440dd,
+    0x9bb980dd, 0x7a8e7338, 0x164bb626, 0x0f80381b, 0x5b54edd0, 0x473ad355, 0xfcc09f47, 0x567b0337,
+    0x64045330, 0x5c751a17, 0x59174b85, 0x59fddf1d, 0x692cbf03, 0x3564d6fa, 0x802624e8, 0xa50af19e,
+    0xb7da4880, 0x5051381c, 0x334aa340, 0xf6f2f582, 0x361627f5, 0xaf35abbc, 0xda6308ee, 0xa640f970,
+    0x58857cb7, 0x766990e6, 0x8fad5bc3, 0x62d82a23, 0x6eaf933b, 0xb235e40d, 0xf17573d6, 0x4c06a39a,
+    0x1f877de7, 0x798cd86f, 0x0b834075, 0xf821920e, 0xe9a6231e, 0xe440423d, 0xa2bd4b1e, 0x6000abb9,
+    0x8183bfc6, 0x951ac6e1, 0x4bc9621e, 0x04aa8582, 0x470bef00, 0x421ed2bd, 0x7d554efd, 0x2edef6b3,
+    0x173626df, 0x92e0d204, 0xe3e4139a, 0x1df6a144, 0xb23fa86c, 0x036d13e8, 0xc1526699, 0x65c0840c,
+    0xdb7474dd, 0x2e3f31d5, 0x6926facc, 0xd9dc376e, 0xecd2225f, 0xc4178c2d, 0x176c3664, 0x1766ae92,
+    0x76b3d150, 0xe4ff2d45, 0x661cf09e, 0xb486d15c, 0x3be7a881, 0xe2ed441b, 0x255caa27, 0xbf031ae0,
+    0x2127b672, 0x68ee148d, 0x4b4b016c, 0x226ac8be, 0xf26f9195, 0xe852a26b, 0xe81d53c4, 0xcdd1c7b5,
+    0x53f3f595, 0x526e0ef5, 0x74fa168e, 0xfc78c722, 0x0b22c945, 0x0484ce25, 0x9c6fd864, 0xe4713ff4,
+    0xdf8a87c8, 0x06793047, 0x2b953a5e, 0x1f078233, 0x3cd3985a, 0xa955ce55, 0xb787bb45, 0x798642ed,
+    0xfff982f6, 0xe40705d4, 0x4cb6da82, 0x8c390abd, 0x0d647f54, 0xc89c799a, 0x3cff1e4f, 0x3d3ceacc,
+    0x2c62f8a0, 0x45a478c7, 0x7b57eacc, 0xea2bd31b, 0x780f7b63, 0xb34867d4, 0xdf116693, 0x7eb5825d,
+    0x774fc130, 0x79cf023d, 0xff956f5f, 0x884e10b4, 0x6fd101c2, 0x702f6bb2, 0xd9b32222, 0x1c55f8ac,
+    0x1e65c301, 0x65b1525d, 0xad92295c, 0xfd7eff7e, 0x2cb9285a, 0x800f6fee, 0x24c5e2a5, 0x278625d4,
+    0xf6af8e72, 0x0517df57, 0x7b2ee1da, 0xd1963f8a, 0x79b47b77, 0xb1731ad1, 0x95979503, 0x8e5934a9,
+    0x0775af98, 0xcd84f0ac, 0x0836ebc6, 0x48223281, 0xdd3d24f6, 0xff2b8977, 0xb072129f, 0x02114cec,
+    0xc71873cb, 0x2ff577b9, 0x2f27d50e, 0x91320ca7, 0xc0e4c09f, 0x4b5da8a8, 0x8bf18aa6, 0x98c492e6,
+    0x00000000,
+    0xe0c5c1da, 0xf021622a, 0x7a62f99a, 0x537f7d18, 0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250,
+    0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000349960115965281907899600\
+                          35633881941845650710894291398982812329702559247987190014771576210832368861184 */
+  { 0x00000000,
+    0x462b1d6a, 0x61fea5c4, 0x537941a6, 0x186a0a2f, 0x6cb2e4f0, 0x0a208cb0, 0x344bb8f9, 0x74f46cfb,
+    0xbf38cf43, 0x7f7e91b7, 0xff0e1d89, 0x5c6a2494, 0xc8b8704f, 0x1227e47d, 0xf137f028, 0x5b39a9ce,
+    0xd3be07de, 0x34aca950, 0x43466721, 0x240d0183, 0x9ff8f5f6, 0xb096b0a7, 0x19f4399f, 0xa0b8e401,
+    0x5efe8912, 0x7b47ace4, 0xd4c2cbe4, 0x60305171, 0xef9fada6, 0x57623e78, 0x3f708da2, 0xf69e746f,
+    0x441de1b7, 0x91b2f873, 0x58c3953c, 0x38776e32, 0xe0ea14d3, 0xb31a07d9, 0x3fd0fd74, 0xf7e1cb16,
+    0xff8c455c, 0x7644b509, 0x9f12c9fa, 0x2e62fe35, 0xabd63645, 0x79268ac1, 0x22cc36ec, 0xefee1564,
+    0x4c4eaa1e, 0xdb8e42e0, 0x0060be58, 0x48c55fd2, 0x04627a63, 0x792958b0, 0x033eef58, 0x733a6120,
+    0x61f9f23e, 0x69ca9901, 0x0edf28a5, 0xd6f91b49, 0xae5ed855, 0x6645ecf7, 0x253fbc81, 0x7a8fdd21,
+    0x21bfd7ea, 0x96b2260e, 0x4da78c7c, 0x7a2b6f06, 0x7933509b, 0x0c1d0c20, 0x579b6f99, 0x008440e5,
+    0x38f02411, 0x6ed01deb, 0x05c33618, 0x2cfedc47, 0x57090247, 0x2c5d7450, 0x8a1fbeaa, 0x75823306,
+    0x3aaa2b6e, 0x7929aed5, 0x6e173bdc, 0x2a0d6994, 0x1497434c, 0x025dbf2a, 0x58f1735c, 0xab48cbad,
+    0x6281cdb4, 0xf42386c0, 0x46515dd5, 0x522310ba, 0x5f9e844d, 0x535de6e5, 0xcf09d680, 0xb52430d5,
+    0x7818878d, 0x473c580b, 0x995a0183, 0x6ade2fb7, 0x24e0f1ee, 0xea795bee, 0x2d947edb, 0xec34bfbe,
+    0x70b52b60, 0x4c6a3158, 0x488dae44, 0x1c5f83ed, 0x14a454e4, 0x82034c2b, 0x967123e0, 0x13f36738,
+    0xd1355cb4, 0x75be1a04, 0x7c495e36, 0xe32e1e19, 0x9d4ee4dc, 0x96b9188d, 0xf6eafe1f, 0x810d10de,
+    0x7ed1bb4d, 0xf7744d43, 0xd5577a54, 0x03ee3579, 0x6b349c99, 0x8921f7cc, 0x37f5c1a1, 0x51903fc0,
+    0xc2abad3f, 0xa27c7ba6, 0x176c4cb9, 0xb43f8b14, 0x855025a3, 0xd42733ba, 0xa98f35d8, 0xfaf754d7,
+    0xec50688f, 0x6e562cb7, 0xad516490, 0x038a4548, 0xb1587581, 0xf2d255e0, 0x799e49d7, 0x836545ac,
+    0xc9d2b474, 0xd7514966, 0x427bb4e4, 0x9c451c9a, 0x5e5e223f, 0x9798f35a, 0xc39b9112, 0xce7a49b1,
+    0xd6416565, 0xb0e9e412, 0x5d31d900, 0x94971822, 0x991c3659, 0x05bfd63b, 0x1a3def00, 0xe91791cb,
+    0xb3a77d07, 0x161bf63a, 0xe83048b2, 0x2c773b69, 0x9cb1d742, 0x1a834b83, 0x4d9cb60b, 0x65448eff,
+    0x01dde1ec, 0xb7405e69, 0xd497499b, 0xfaa709f8, 0xe61f9e88, 0x77353dd2, 0x26a15d4d, 0x315ab67f,
+    0xe1a2f7b8, 0x3ba07b3f, 0x2bd37e13, 0x2d93baa8, 0x5d9a0629, 0xc6fa41fe, 0x2c1be14d, 0x88c217dc,
+    0xbadeb96e, 0x29a8d20f, 0x192f0a82, 0x41479f4d, 0x2d6641b0, 0xa5a4f917, 0xc487d13a, 0x5bfc2fdb,
+    0x77bb48c8, 0xdc5e6dfc, 0x4a92ecba, 0x16c9a224, 0x91043f27, 0x8562bc1b, 0x02837e4e, 0xb6bc8069,
+    0x4d38d194, 0x743c2b27, 0x07a7084d, 0x669e179e, 0x069e9c0e, 0xcecf2cb6, 0xfbbb946f, 0xfdc2a39a,
+    0xd24c6c96, 0x0d340eae, 0x5bd7e6a4, 0x989846d5, 0x7eef793f, 0x1b9d6592, 0x1555791e, 0x4ce7295e,
+    0x00ecbf30, 0x31709d1c, 0xeefac2ad, 0x564ea2df, 0xe3831a9b, 0x6e37a251, 0xe70defaa, 0x110990bf,
+    0xf6c29cc8, 0xa405d5c4, 0x901759e2, 0x58a4236a, 0x7d50d132, 0xc3e6c6fd, 0x54a58f32, 0xc31f3cf7,
+    0xf16d37c2, 0x5aa72b33, 0x0d29f9a9, 0xce6fbc40, 0x1cca55cd, 0xb5353654, 0xcf17d2b3, 0xe992aea4,
+    0x3dac80df, 0xcb662312, 0xeb175a82, 0x62902c88, 0x3ec068d9, 0x7c851e1c, 0xdea0a2c3, 0x8427e8e2,
+    0x88d8cc88, 0xb02bf0c9, 0x55062f00, 0x9d74cd61, 0xb55ce4fd, 0xd0f5fdde, 0x9d547c95, 0x095f9a62,
+    0x5a0c2f44, 0xa1d9b0ee, 0x0b581ac2, 0xf269f7d1, 0xd767b4a4, 0xc63e7b9c, 0x47e049ba, 0xf12657e6,
+    0x372ef121, 0xecaa9736, 0x3ed7a284, 0xda1044fd, 0x9595415c, 0x0d8c1e25, 0xded2884a, 0x68685ecf,
+    0x13fe50e5, 0x6f0e6dc0, 0x7f72fed0, 0xe187630f, 0x46a5eb12, 0xfc7fa297, 0x2fde85c4, 0xd661e3dc,
+    0x44961484, 0x9adb1638, 0xe0e06889, 0x30b69727, 0x784f1f91, 0x132fe828, 0x0c224db8, 0x5a37a619,
+    0xd11a0b18, 0xedc8c0e1, 0x50af4bf7, 0xc019ea54, 0xa92fd594, 0x00005ecf, 0xdd183d53, 0xf91f1b08,
+    0xd84f808b, 0xc14a9395, 0x6a668629, 0x02de39a4, 0x520c72cc, 0x2cf1bcb5, 0xeebf975a, 0x002341bc,
+    0x530b9df6, 0x62748263, 0xe12edb08, 0x815efaa3, 0x9bddd32f, 0xfccb8f18, 0x5424ec27, 0x86d89648,
+    0xf9cdbf32, 0x1bb8a705, 0x6de2e720, 0x6e0b4156, 0xecd7a2eb, 0xfd91c057, 0x19798797, 0x902854c1,
+    0x9756a6a7, 0xffd3deac, 0x207067e4, 0xc56834a2, 0x4fe10ca9, 0xc913f995, 0xbc1f9af9, 0xfd4f39f2,
+    0xa36bc2b5, 0x55c6443f, 0x7f69c942, 0x7f0e273a, 0xe4478244, 0x9d894bb9, 0x682c166f, 0xc3e5c11a,
+    0xfc71fd86, 0x491e155c, 0x35c52f32, 0xc09eb333, 0x9186aabf, 0x61e4f770, 0x43a899ec, 0xab072471,
+    0x4609643b, 0x29ca0471, 0x769aeeee, 0x30545a30, 0x0dba8b3f, 0xd240fa7f, 0x7a8015d8, 0x2918d49c,
+    0x5428de4f, 0xf008e938, 0x2241a284, 0x56157da5, 0xd0ec1201, 0x5f3630e4, 0x32e361f2, 0x2381754c,
+    0xfc32355a, 0x3c3bf151, 0x862ea81f, 0x4b60658d, 0x0a0e7814, 0x63ac0d5a, 0xc26b2864, 0x7e875eda,
+    0x8d3d2e0f, 0x59c09425, 0xad6c2152, 0x5be13f5b, 0x3f3bb1f7, 0xd3f6e614, 0xb406eec6, 0x20952a5c,
+    0xfcedd517, 0x197e276d, 0x002b3028, 0x0e02f2cd, 0xdbe77d32, 0x18eea3a9, 0x2484a5cf, 0x7f35571b,
+    0x62f3dff5, 0xcaf9af5a, 0x078c7646, 0x772caa2b, 0x8ba58a99, 0xfd8c1877, 0xebd57f0c, 0x1ce359c1,
+    0x73323d43, 0x6dbf182c, 0x029242c3, 0xb53ada25, 0x4d46531e, 0xb677940e, 0x19aded11, 0x2277bbc0,
+    0xb36dc2d6, 0x9ee9eaff, 0xc3614d45, 0x93d1a750, 0x3f3fca66, 0x6aa6b5da, 0x25c23439, 0x7a984c07,
+    0x1a3c15de, 0xec082b7e, 0x4aefaa17, 0x82e51fdd, 0xd88ebee2, 0xd09a2a20, 0x8a8233f3, 0x9ee99b7b,
+    0x10489b7b, 0xd7aa23dd, 0x5afdc20c, 0xe62a84b4, 0x5daa440b, 0x515eb6cd, 0x0c44f199, 0xb43e2e01,
+    0x585fb0a6, 0x3189467e, 0xda9a23ff, 0xe29fb21a, 0x8d8cdd52, 0x024276cb, 0xb252a1d9, 0x146a9f56,
+    0x7cd9f58d, 0xcbccd4ec, 0xfc40e5ac, 0x01736031, 0xe894a8cf, 0xad84f475, 0x60cd3ecd, 0xd51b8e9e,
+    0x36b47ff5, 0x8af0a169, 0x6e201dfe, 0xa186d15d, 0x3fa67157, 0xa1260f3e, 0xbd9d9d92, 0xd48d6342,
+    0xb45d1f68, 0x299e6eeb, 0xfba9dfee, 0xb21eb087, 0xec5f389c, 0x4505ff0c, 0x1c9b2cf3, 0x7e8648f3,
+    0x40ceeba9, 0x190d654d, 0xcaeb814b, 0x1463ba51, 0x2f9a35c0, 0xdaec8e80, 0x6701c8f0, 0x6049b5af,
+    0xe56d0d29, 0xe97cade7, 0x60de40a9, 0xb9a91aba, 0xfdb65acb, 0x5ce88748, 0x912574d7, 0xeb72283f,
+    0x67a17f70, 0x2df5e8a3, 0x7cce8356, 0x81d5b19b, 0xc13f186b, 0x2cf47ca5, 0x528c51b3, 0x4b320483,
+    0xe00beea3, 0x6eca38fd, 0xa1f636cb, 0x2a7673c9, 0x2c9357c0, 0x49ccb013, 0x66cfd364, 0x2c979b17,
+    0x1cd03c6c, 0xebd5db37, 0x33669c72, 0x47ded6a8, 0xe975becc, 0x7ff62f4f, 0x84ce20f2, 0x27c52652,
+    0xcaf5bb2d, 0x70002b10, 0x610ed4dc, 0xd19085dc, 0xf42727f8, 0xdbceb50e, 0xd2e5858f, 0x8dea6bd2,
+    0x059d031d, 0x5c3121b1, 0xb9b25afb, 0x51a2c7e0, 0x5b4551b9, 0x971cff2d, 0xc823c820, 0xaa869713,
+    0xf1a83b90, 0xf0fee30d, 0xd864aa76, 0xd455df14, 0x08daa50e, 0x6bfe6028, 0x735d6f21, 0x38764927,
+    0x950d23b8, 0xac61cc40, 0x595cd5a5, 0xc389e425, 0xc469f93e, 0x7b361510, 0x608dfa4f, 0x593b89b3,
+    0xacfb1254, 0x36f6844e, 0x137ac272, 0xf4c9f2fe, 0xf4da4c3a, 0x37015b5a, 0x8fea93f3, 0x9ff19ccc,
+    0xc8b3a625, 0x066b28aa, 0x1779b523, 0xbe9ebd9b, 0x086adce5, 0xbf5dcfad, 0xb963b479, 0xf8d55ede,
+    0x51c274e4, 0xe578a1e8, 0x2682121c, 0x671b34e0, 0x5b6094f4, 0x891139cf, 0xa5f558b9, 0xe3d4798b,
+    0x7d16cb6e, 0x45ba65af, 0x79456bf3, 0xe1507db2, 0x124ace51, 0x3ccda581, 0x325a6216, 0x11a5c142,
+    0xeae5d97c, 0x8080fd28, 0x5ef1d2f4, 0x679b7e41, 0x5f02fe69, 0xb42c5b21, 0xd6b85146, 0xaedd3b8c,
+    0xbbb9d539, 0x5683cb13, 0x3ae14674, 0xa89930c4, 0xeb8a6738, 0x6217e4de, 0x0fc6a6ae, 0xa4cec3c6,
+    0x7d4021fb, 0xc4ac97c1, 0xda7da369, 0x2d57b734, 0x5fa16eaf, 0xe78d61b3, 0x61f81557, 0x06c75d15,
+    0xae854238, 0x0cfcc4c8, 0x5267cbc4, 0xe8ef2440, 0x8a6fdf64, 0x997cbc7a, 0xdc1b95fe, 0xad9bf2da,
+    0x66f559f7, 0xa742e271, 0x2e8839aa, 0x06056faa, 0x83ea9a13, 0x0ed36823, 0x954bc8d1, 0x065f4bc4,
+    0x022ffe27, 0xc6cf3ec2, 0xb2963a83, 0xe041f1d6, 0xbb7394aa, 0x66aae931, 0xfb3f9bf9, 0x8cb94101,
+    0xc5523bc5, 0xef2eb834, 0xc2d5be9b, 0x8aa738df, 0x18f9130f, 0xc2cce658, 0xcd2993a3, 0x8991ae87,
+    0x9892e9d3, 0xb76df50a, 0xc5c28eab, 0x3b7d9b07, 0xe7fb97ea, 0xffdeefb7, 0x51b30895, 0x4b64a946,
+    0x2365dc9a, 0xdfee270a, 0x138314c4, 0xad38549d, 0x94ec89b8, 0x046e1d44, 0xa6890ab2, 0x2c64830e,
+    0x0685c626, 0x15acbacb, 0xd2ce20ca, 0x2375a373, 0x916466e3, 0x11652f6e, 0x4c7bb86e, 0xdfa5e776,
+    0xa7e8489d, 0xce7813a6, 0xf74302bd, 0x17767a01, 0x995aa3b3, 0x7fbf78a7, 0xc544429c, 0x32b11c25,
+    0x8d470a8f, 0x5706d157, 0x6d2093b8, 0x2f1fdfb0, 0x72109516, 0x8f1ff39e, 0x0958fc82, 0x15d1ccba,
+    0x99f5af93, 0x69bc9991, 0x2af097df, 0xf3d3ef7f, 0xc6337a33, 0x45b0af42, 0x25378394, 0x834f8533,
+    0x66176344, 0x61a037c6, 0xbea8fd33, 0xd0e489b9, 0xdb14daea, 0x5d8544ad, 0x6bb1b144, 0x5a7fb6cb,
+    0x27d83d7d, 0x883389ca, 0x99d86040, 0x07bec76c, 0x4060010f, 0x94d09ffa, 0xecd83585, 0x57b7315d,
+    0x742fe9e5, 0x3834edde, 0x8d468bc1, 0xa68604f3, 0x8b459b5f, 0x6f9c625b, 0xc751a527, 0x28c71749,
+    0x515592ff, 0x291130f2, 0xa4b9b97d, 0xac55cbc7, 0xa14b12c4, 0xd9d871aa, 0xf0d8012a, 0x70cc6a24,
+    0x6e7baab8, 0x3521ec68, 0x08843f98, 0xdcd9b119, 0x3f311cb0, 0xf8e50d81, 0xfdec205f, 0xb5a352ba,
+    0x84ef5642, 0xc2847770, 0x44540c75, 0x98dd34ee, 0xbe4e6732, 0x8f9928e6, 0x0e05b353, 0xffc6ef8f,
+    0x5e4ab8e5, 0xdf55b4c8, 0xc95b4fa8, 0x051b5124, 0xa4be1878, 0x6e58fbf2, 0xea295677, 0x67e9b32b,
+    0x30c4c0c0, 0x0283e2e4, 0x83170988, 0x20522554, 0x234fb58a, 0xe29e3146, 0x9b14c9c6, 0xd7acc866,
+    0xad60b52d, 0x4022fa02, 0x924b0f2f, 0x78e2f488, 0x8bab80d5, 0x093dc11d, 0xad961af7, 0xc2c43f1a,
+    0x78998308, 0xf2c3da48, 0xf78650df, 0x74751d23, 0xeb397f27, 0x0d2a8c42, 0x2c8e2ebd, 0x0d969159,
+    0xabc66fc0, 0x6e5d4f91, 0x3deb2128, 0x809b8494, 0x183ea963, 0x3f0c7a11, 0xc02a0adf, 0x54330cc9,
+    0xf41d4399, 0x9364780c, 0xe203618e, 0x23633070, 0x6e8a8ba9, 0x857a5a6b, 0x27b8b08c, 0x89732efd,
+    0x0c1e6393, 0xa3a9c67c, 0x18841fb8, 0xf43b3684, 0xc13e3895, 0xdb0d5852, 0xabed4f4d, 0xeca5aaa7,
+    0x5c4d37f9, 0x73a58133, 0x698a9254, 0xc20197d1, 0xa3064d20, 0xe7e140c0, 0xf8015d8f, 0x32ae2bec,
+    0xa6a7f068, 0x19f6abfb, 0x96ac4ac6, 0x33da2839, 0x6613716d, 0x6ed77a9c, 0xc119d91c, 0xff4dbff0,
+    0x9b6c712d, 0xf009f583, 0x1eee465b, 0x1399964a, 0xe33c7750, 0x05025e7c, 0x16cf8202, 0x26ecb5a0,
+    0xd4ff4f08, 0x20f29a34, 0x139d96f6, 0x726ba884, 0x129331c5, 0x83f2c837, 0x64b49614, 0x30d2a7ce,
+    0x43af071e, 0xbcb1eff7, 0xed555d1d, 0x1f977a28, 0x8e69bdba, 0xa597da00, 0x714738de, 0x056df232,
+    0x2962caa8, 0xed672459, 0x5c9e13b9, 0x1cebf159, 0x86632727, 0x28eec25d, 0x6a26dd4c, 0xd2657991,
+    0xf03c98be, 0x74d060d9, 0x0568e022, 0x64665d86, 0x47dc417e, 0xfe3fc5c8, 0xa6078c73, 0x1b57e7cf,
+    0x49f3b656, 0xa6d0b0b1, 0xe9019b33, 0x2458ef6d, 0x3a6fd07d, 0xf8965642, 0xb5f4822f, 0xa5188aad,
+    0x1de5fbbf, 0xdbf3b7d3, 0x65a02f4c, 0xe8b6b327, 0x48ce86a4, 0xc127393c, 0x465314da, 0x4563c5e1,
+    0xfc331166, 0xe16e0a5f, 0x599d133a, 0xa425e6b0, 0xf76869c8, 0x33c2e2c1, 0x82074cd2, 0x4de08ca5,
+    0x13752ca7, 0xde4e7072, 0xb9615db3, 0x3b5a3619, 0x697106a3, 0x86cd4226, 0xce84d6a4, 0xfd28a9a9,
+    0x46bd6e64, 0x81e0988e, 0xe9ccd6cb, 0x5b9454ae, 0x75177d9d, 0x1ff9eda7, 0x5f992b83, 0x9221d3b3,
+    0xd24aa7db, 0x39b05f0a, 0xaab081b5, 0x50111108, 0xde5da118, 0x49a42a99, 0x1dbe0746, 0x896b80c0,
+    0x063b55d4, 0xf3451c13, 0xce581084, 0x68ed6fd0, 0x68588202, 0x8d4cc1ae, 0xa93f21de, 0x53752e06,
+    0x6d9e3f7c, 0xd4b18cc5, 0xa84c7650, 0x7e581a1e, 0x389ce8f7, 0xd45e37c0, 0x2d40aa78, 0x55d12466,
+    0x2ec1006f, 0xf9316b38, 0x7e79c2a1, 0x86861de6, 0x37f40c40, 0xf1f77560, 0xea017119, 0x3688183e,
+    0xb171a960, 0x80719c8e, 0xcbae5a53, 0x3ba0857f, 0x2deca77c, 0x13ab4103, 0x3d83be11, 0xc0b66e50,
+    0x0357d3e8, 0x1f9d8b88, 0x3c3b71c4, 0xda22df03, 0x6485d420, 0x29f8a6ab, 0x4c53a1a3, 0x889a7bf6,
+    0x70de92ee, 0x8e05c801, 0x346453ef, 0xb77a9b18, 0xe03ddc56, 0x73186910, 0xa9c94cf0, 0xb359b1d4,
+    0x37c2d02e, 0x572c2fb6, 0x925c28e4, 0xe03eef12, 0x3fa978bf, 0x0c6141da, 0xb7b6cfb7, 0x23d9f079,
+    0x4008b3a1, 0xd1aca16c, 0xd2b01474, 0x6624fec3, 0x20ecc3e7, 0x12df6dc7, 0x5e9acaea, 0x7e11e99b,
+    0xb8b34320, 0x8dce45fb, 0xd28d3cb7, 0xcd0380c1, 0x914fd447, 0x5023af00, 0x63933f09, 0x9274a7f8,
+    0xd451be4f, 0xf323c54e, 0xc9ef47df, 0x784cef39, 0x3661b9f9, 0xa9f4030e, 0xf5822df9, 0xf9f586d5,
+    0x9b18bd17, 0x02a11842, 0x2a1beb2b, 0xba7c1682, 0xe6a354bd, 0xf14de170, 0x35320da9, 0x37f8d9d3,
+    0xe85bab9a, 0xc0e55ce8, 0x89b5cafb, 0xc75dfca8, 0xa0462c35, 0x88089c2d, 0xbea70c2a, 0x9c2fe721,
+    0x6e32537a, 0x0f68d4f0, 0x6b34ac41, 0xe1e6c085, 0x467cfb71, 0x9f212af9, 0xbd7244f0, 0xc7356662,
+    0xa62ff054, 0xbb1b30fa, 0x69abe31f, 0x6294e23b, 0x1f0316c7, 0x6f93e2b3, 0x36e773f1, 0xb02ccdbb,
+    0x42a14af7, 0xf4637d20, 0x0dda0410, 0x3f0cd9e9, 0x1c302c59, 0x47c97fbc, 0x1883278f, 0x26b17549,
+    0xffad43ba, 0xa4a7e6bc, 0xae83df1a, 0x11b3fde3, 0xb2d5a95b, 0xf4ca93a8, 0xb7f95895, 0x9e6dfe45,
+    0x69751700, 0xf181c6a0, 0x6dab93b1, 0x0dea39a0, 0x1af67faa, 0x6311e99b, 0x3b47371b, 0xc5c245d4,
+    0x00000000,
+    0x7062e0ec, 0x7810b115, 0x3d317ccd, 0xa9bfbe8c, 0x2958b724, 0xd500e426, 0x12599349, 0x04805928,
+    0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000174980057982640953949800\
+                          17816940970922825355447145699491406164851279623993595007385788105416184430592 */
+  { 0x00000000,
+    0x9776edf0, 0x36d73746, 0xbfd1efec, 0x118bcbc9, 0x981a52cb, 0xbc2b5c9a, 0xd87cd2ae, 0x3bbaf0ac,
+    0x29aafd48, 0xd920d204, 0x4aed29a0, 0xd1dd6d27, 0x5471a4c1, 0x0fe9c634, 0x12f3ee87, 0x8aae4b4c,
+    0x92c2a5af, 0x778766d7, 0xceda6626, 0xb032af91, 0x87c180fe, 0xc1a0090f, 0x26f1c3fa, 0x94b0ad74,
+    0xe82d6576, 0xdcb51750, 0xeaf972c1, 0xbff82a8e, 0xefa1f828, 0x19570e0b, 0xd26c5c32, 0x293d3d1b,
+    0x548c69e1, 0xf4d0b78a, 0xccfb0f50, 0xa742f0b2, 0xa710e337, 0x9efa676d, 0x3daedefb, 0x960423f3,
+    0xd0b60074, 0x41fc6b7e, 0x86e5b175, 0x0ecc1943, 0x73d61607, 0xac883d9c, 0x90c33716, 0x8b5eb1af,
+    0x8dc20383, 0x2f1a5316, 0x4f5735f4, 0xc105e0e4, 0x72e2719c, 0x41137635, 0x2256108b, 0x0f1008ee,
+    0x7b3d1757, 0xee204e3f, 0x40e40cd1, 0xc3bc5806, 0xd16b2b25, 0x3612ec4c, 0x10f32a0e, 0x85301cd6,
+    0x26aab2cd, 0x98cb6c3a, 0x3223d647, 0x65d987d2, 0x815e029e, 0x7b758e77, 0x56aca498, 0xb74154e2,
+    0xf354bd6a, 0x80ef6742, 0xefb68ae3, 0x76f6084b, 0xd3ce20b8, 0xe128959f, 0xa9076741, 0x9f6bdbeb,
+    0x90db3bfb, 0xdf9b75f9, 0x76f5ad55, 0xa3b3394e, 0xe0134761, 0x763b9290, 0x415edf73, 0x9508ed6d,
+    0x7675efaf, 0x162e2d8c, 0xb54f83b3, 0xb482c096, 0xc7b6792b, 0x687835f8, 0x15b21013, 0x6a20b44b,
+    0xe7989ac9, 0xe607ad75, 0xecb0333f, 0x9c41bdfe, 0x099c4f2e, 0xcf509520, 0x2df8200f, 0x4315cca0,
+    0x9405c218, 0x6446109c, 0xc1a56ba1, 0x87f2d00a, 0xe25240c7, 0x9ca5a755, 0x2f52fc15, 0x18b5e8bd,
+    0x6e858a40, 0x9a8fad57, 0xc15d5791, 0x7a23375e, 0xf5c3621b, 0x3c447248, 0x282c9c34, 0xb110d31c,
+    0x60c2de62, 0x685dd9ec, 0x296f32cf, 0x39d0698c, 0x61813141, 0x600666ad, 0xd34a4c4f, 0xe42302a1,
+    0xcd61f3c9, 0xbd3b5d9b, 0x9d9518cb, 0x21f15af3, 0x71d47b50, 0xaa58ed9c, 0x35eb8f7e, 0xa3309635,
+    0x2383cb84, 0xa304b053, 0x139c345f, 0xe6d1a81e, 0xd382ea41, 0x757e4255, 0xc50de842, 0x1ecbb652,
+    0xd5cebcdc, 0x25dc741c, 0x38306e2a, 0x72ab2264, 0x51833c34, 0xe3d88ca3, 0x2500064b, 0xf1c13ce2,
+    0xd579dc12, 0xc2a0b7d2, 0xf99a782f, 0x01fa71e1, 0x19995b05, 0x4b179982, 0xffea92e8, 0xcdc68cec,
+    0xa027d09f, 0x51b94b69, 0x49210585, 0x10206d1a, 0x0ccf586a, 0xc93eae60, 0x6bd1e98a, 0x71381669,
+    0x82af70d1, 0xb6fafa42, 0x8365e48b, 0x0d80e0f5, 0x0baea256, 0x8ad90dd6, 0x9c27c7cf, 0x75abd1cb,
+    0x08de6de3, 0x98db674f, 0x875e67f0, 0x4c78cbaa, 0xddd13bc1, 0x1e737fd8, 0x3819ca5a, 0x5bd8ec97,
+    0xc813314b, 0x96663174, 0xd57b9324, 0xec156f11, 0x8025905b, 0x5c079633, 0xd276e527, 0xe94b9b67,
+    0x9e4ab40d, 0xc463968d, 0x8fa6edd8, 0xb4ee5ae0, 0x260075ea, 0x2a12039b, 0xde0e0fc7, 0x8dff674c,
+    0xeb0eaf08, 0xafb9f279, 0x61422028, 0x9e533c95, 0x3817b70b, 0x1d8267e1, 0x9b07d9c3, 0xcb1c0b80,
+    0xb3972117, 0x0c10d004, 0xfb7bfdc4, 0xcce5d101, 0x64604bcb, 0x82ed5dbc, 0x56a9ec8f, 0x8f1c29d1,
+    0xa1b7d958, 0x964f3e42, 0x0bf84151, 0xa24cba4c, 0x495da572, 0xce84b52e, 0xb2c53025, 0x4dbe1e51,
+    0x5258c3f5, 0x710595b0, 0x86e56aba, 0x647741f4, 0x14d9c1d9, 0xfe243aad, 0x287db144, 0xd30a92a3,
+    0xdb82e53e, 0x63e5beaa, 0xc88b1851, 0x00b3387c, 0x34631e36, 0x85f989de, 0xa57c18dc, 0x5de69e19,
+    0x217214eb, 0xc2b1633d, 0xaa50b971, 0xa7f2c368, 0x9c536988, 0x083c63c2, 0xf00f19e3, 0x119f7c84,
+    0x97a222bd, 0x1a801064, 0x03542774, 0x81f776dc, 0x71a40e19, 0xed140e58, 0x0296f0d5, 0x62f6e4e6,
+    0x49972064, 0xd25de344, 0x02c277f3, 0x9abe52cc, 0x44578020, 0xe6160477, 0x85caf7d2, 0x4d509213,
+    0x5f219c7a, 0xf7e79254, 0x2d11cc05, 0xb31b075e, 0xac6d7bb0, 0xebfdf14b, 0x92cff4d5, 0x88d91bd1,
+    0x0c458e4c, 0x08dedad1, 0x589c0276, 0x20fc3dd1, 0x63ebc29a, 0x81d663a3, 0x236e16e2, 0x268dead5,
+    0xd6832e84, 0x50d5e74b, 0xf6f91bcb, 0x1760a597, 0xa55e0142, 0x7319409a, 0x6783588a, 0xdc6da494,
+    0x9944d638, 0xdb54247d, 0x139f1f0c, 0xa1c897ff, 0xd67996da, 0x4484fa5a, 0x814db2c8, 0xd7957471,
+    0x270755af, 0x3bef6b8f, 0x2040ffa8, 0x59c38e43, 0xbb8beea9, 0x4e6bac43, 0x6028e543, 0x49e89f77,
+    0xb0bb8724, 0x43136499, 0x5ac8c03f, 0xf12640cc, 0x7fd1d18d, 0x0654b906, 0xeda6224f, 0x6efca359,
+    0xfb6b1afd, 0x5a95fc2c, 0x4e61ecca, 0x4b8599d2, 0xfdb214a0, 0x0ae48ef5, 0xea7ad23c, 0x23a0af84,
+    0x4d1afe39, 0x55d9f98e, 0x5323a7b4, 0x019b7cda, 0x98b5311a, 0xce8d1cfb, 0x9dff1544, 0xa4944802,
+    0xdf4ebc1f, 0xa717d507, 0x5c8edf72, 0x5730c44a, 0x3b199062, 0x5dcf3889, 0x70b8154f, 0x5860b82d,
+    0x77ac1a67, 0x16f247bb, 0x3eca49b8, 0x4f8dcc3e, 0x395182eb, 0x4cc4e4a0, 0x4d20edab, 0x6fe87c5f,
+    0xb4659eda, 0xaa5fdd62, 0x67723578, 0x0ff7f88f, 0x85e7d688, 0x187c78ed, 0xa799aa6a, 0xe99f49bf,
+    0xeb6d91e9, 0x11576ea6, 0x8177dfd2, 0xd796a439, 0xa8f2397e, 0x604df78c, 0xe823deb1, 0xc2f6370c,
+    0xd0c7a9f1, 0x55d0693e, 0x8d8b77dd, 0x8ea40247, 0x2d3a397e, 0xfa179b2c, 0x145d1bb0, 0xb58fadd2,
+    0xe89ccc01, 0x9aa2c497, 0xaef6e5d6, 0x37ac26c3, 0xb5eb6451, 0xcc5f67d2, 0xbeaed51a, 0xaa2c5bae,
+    0xdb09f91b, 0x4a0c84de, 0x144584a4, 0xa7425ef4, 0xfda803d5, 0x3f2ccbfc, 0x25729131, 0x0f0320d8,
+    0xe3951528, 0xdcc0999c, 0xb5478b63, 0x2d57a754, 0x104f716c, 0x47517414, 0x76a0bcbe, 0x70add248,
+    0x8ee35d46, 0x009788c4, 0xa89a44b9, 0x1ce7fc0d, 0x4012c3de, 0x5ad9ad4d, 0xe1643f64, 0x144eaf86,
+    0xca2ef0fc, 0x7df1dabd, 0xd06f47ec, 0x1fa1d0a1, 0x67101f44, 0x16f0136b, 0xaadf809c, 0x3fd32463,
+    0x9106c0cf, 0x4c1751ee, 0x6c7f1f01, 0x0807d8d2, 0x8520f4c5, 0xf0af8d1e, 0x58b25e21, 0x080e5bd0,
+    0xaaa88c4e, 0x7b4ec8d7, 0xaa2d3977, 0xeb1cf439, 0x1e357929, 0x70db787a, 0x2c258efe, 0x6bcc8bc6,
+    0x69ae18d9, 0xf5c68331, 0x1d44e5c1, 0x08493379, 0xbec02c5d, 0x66f6b46c, 0x63e38949, 0x4f0ff89b,
+    0xb88de01f, 0x1a99586c, 0xe751a84b, 0xc64e74c2, 0xfa371766, 0x7577b071, 0x34b9647f, 0x8b5903b6,
+    0x87ec8253, 0x01c31ac7, 0x2dd70feb, 0x66e53134, 0x31549617, 0xe2820eaa, 0x16449295, 0xe11f8a4f,
+    0xfc60d0ba, 0x94d275c6, 0xf8815798, 0x338a7573, 0x088711d8, 0x75fa1471, 0xf4106f58, 0x336f08b6,
+    0x4d4f5fd5, 0x5d548b75, 0x44865ecb, 0x7dea52f1, 0xe2c5315b, 0x454e19bb, 0x3d62ebe9, 0x444b4399,
+    0xc9d429e2, 0x72761ddf, 0x090817c2, 0x66e5c1ea, 0x895d8cc0, 0x4faf1b9b, 0x85a71eb4, 0x14c6d447,
+    0xc568a7a6, 0xb589d97b, 0xdf772292, 0x97f0d833, 0x4ec4263f, 0x9f143935, 0x5ce6437d, 0xf97ce8a2,
+    0x7de310e6, 0x3c8ecb8d, 0x32573f89, 0x79065494, 0x702ba69b, 0xd941b2ab, 0xa518d081, 0x43e75c24,
+    0x747f15fb, 0x0f564d08, 0xcad92519, 0xdbff4122, 0x90f315f6, 0x9a22ff57, 0x28b9c076, 0xb2332dba,
+    0x7c99479f, 0x03a7a53a, 0x8832a176, 0x582dd60c, 0xe70740cb, 0x921b0b87, 0x172d5fe4, 0x9970e9ce,
+    0x2db8b4df, 0x77cc1bbd, 0x0b3b762e, 0xc4ad001c, 0x2d538431, 0x69203ee6, 0xeaf8f90c, 0xd040db6e,
+    0x2a232ded, 0x5e8043f1, 0xd275cbcb, 0x3ff0843e, 0x93b97e3c, 0x590555f8, 0x559167e3, 0x83e40133,
+    0x911ee187, 0x04d94327, 0xe1fcfc00, 0x32f50261, 0xe93a2525, 0x89baf213, 0x702d976d, 0x6783990a,
+    0xb625183d, 0x6b9c138e, 0xfd7b4d0c, 0xd9a3bf62, 0x75267fe6, 0x7463e023, 0xcf595624, 0x85d3c393,
+    0x80faa0d3, 0x5d960b96, 0x923b560b, 0xe8bd3d72, 0x69c841d6, 0x06297440, 0x8fe5380a, 0x82d5a5dd,
+    0x3d46b1db, 0x96ab4287, 0xc262ba44, 0x2811d957, 0xf3628a1f, 0xa654d84e, 0xab833322, 0x68cc5636,
+    0x1bd2b9a2, 0x37e4de9c, 0xfe5b7dfa, 0x4bf80fd4, 0x6d265c85, 0x91e0679a, 0x439ba862, 0xbec82f2b,
+    0x7aaa5305, 0x43d506ad, 0x9e32b4ca, 0xeb8e0ece, 0x4d07b77b, 0xff7b6d41, 0xbc3a072b, 0xf06f5ea1,
+    0x18684a1d, 0x5f286af1, 0xdcd2aa5a, 0xed9f8e7c, 0x1824b178, 0xb4102203, 0xe28b82ca, 0xd7ca1a92,
+    0xc3974e33, 0xd4653eca, 0xa5ac3a79, 0xfa112e25, 0x844eb941, 0x606e410a, 0x2927f0c0, 0x0f78e2a8,
+    0x91b6859c, 0x273466f5, 0xb37c8e48, 0x92d42733, 0xaba90a29, 0xeb933627, 0x04791ee7, 0x2f0d0fea,
+    0x44584f49, 0x42bc7d31, 0x41ce21a9, 0xd3087093, 0x0151debb, 0x8e401ef9, 0x6f4466a0, 0x024e5af3,
+    0x06b499ee, 0x6fbd23c3, 0x4307d810, 0x960236b0, 0x32e0960b, 0x85573f28, 0xc955238e, 0x5b7af8a6,
+    0x6e83cc6f, 0xcc7c5d07, 0x5fc0c4f2, 0x2f0dc6ac, 0x9e08c2ea, 0xf7087563, 0xf27aaf80, 0x240959db,
+    0x631d1901, 0x674a5f47, 0xa9b216ff, 0x3e3a2d30, 0xca05563c, 0x968874c4, 0xcd2670f0, 0xcc4f44de,
+    0x2c567826, 0x8cb77bda, 0xb8d9e207, 0x02eef0c4, 0x4ed22def, 0x7c6c1887, 0x07dba65b, 0x711ca473,
+    0x6ef5b982, 0x9d424e0f, 0x6e979731, 0x7622f61d, 0xec64adf4, 0x8e22efd5, 0x34cd955b, 0xd4ae738b,
+    0xe63e8e00, 0xd4ffa85c, 0xf7af2496, 0x34760783, 0x28c89b84, 0xebecc819, 0xa0e6b3fd, 0x7af74e34,
+    0x5985afac, 0x6771050c, 0xbed14ac7, 0xadae3170, 0xc060ec04, 0xe4fa84b4, 0x21a59cca, 0xa20a641a,
+    0xe23be216, 0x76ac1ff9, 0x4251af7d, 0x39a0ac13, 0xa87dea31, 0xe1fe03a7, 0xe6ccf676, 0xa3b2fdaf,
+    0x6671dfb5, 0xcc5f72f5, 0x2fb5d407, 0x99037c4c, 0x3bcd36db, 0x63a6a82b, 0x702d38c4, 0xe19f3c68,
+    0x8cb05f23, 0x4019599d, 0x02f9f50f, 0xb3d19193, 0xd04ba03b, 0x0e622f9a, 0x38fdf807, 0x367d16df,
+    0x20e4e73d, 0xe617c6e6, 0x6542b2e3, 0xa6996c21, 0x306bf945, 0x74938a7e, 0x47a48963, 0xe23c5dce,
+    0x4028d40a, 0xff50b814, 0x0e189023, 0xffcfec1c, 0x1983e630, 0x6012f79c, 0x878f20ce, 0xaf0dd55a,
+    0x3f7499e2, 0x8c53c3df, 0x5c6a4dd2, 0x3cd21858, 0xadb38900, 0x230a1b79, 0xacdff754, 0xc43b0705,
+    0xbad98173, 0x266337a1, 0x61d3a876, 0xcc2e9973, 0x5596cddf, 0x59b6e92b, 0x1b9685cb, 0xa1a5cf38,
+    0x7b162ce5, 0xda3aafc2, 0x4df1ee90, 0x2a1579a8, 0x725f4312, 0xb945bf8c, 0x3b15f8cd, 0xb3c3298d,
+    0x9169f675, 0xc3b00952, 0x3aa2191f, 0xc421f5eb, 0x9360be8b, 0xacc4bf74, 0xe700f379, 0x02ad5521,
+    0xcf91355d, 0x2691ec39, 0x8e66d980, 0x95fe1dc2, 0x894c5818, 0x2c68d302, 0xdd73e850, 0xef159958,
+    0x56184a48, 0x749745fb, 0x3f15f558, 0x3642b8fe, 0x1c051c20, 0x2a9a93c7, 0x4f10b43d, 0x8bd1dca1,
+    0x2a6990b0, 0x82450224, 0x03d74e06, 0x81d5ea64, 0x57d93ecd, 0x6d19b102, 0x51e732fa, 0xcec2666a,
+    0x2d958bcb, 0x409c0fba, 0x2eec57b2, 0xb174b92a, 0x335dcf34, 0xd754bb92, 0x6df5eb04, 0x166f4bcd,
+    0xfa1f6e0a, 0xfe2f639b, 0x7da247e4, 0x14d4b834, 0x8761b7c9, 0xfd14a2bd, 0xa0f1b49b, 0x02da6c6b,
+    0x604b3d0f, 0xf2732fc6, 0x138d6487, 0x15e9e4d6, 0xaa3089b9, 0x539f9876, 0x454678fe, 0x946351f4,
+    0x826e9483, 0xf84dcf48, 0x9798332d, 0x02c47da3, 0xca8b2cb8, 0xbfab8b94, 0x16c3f90c, 0x6b5f5527,
+    0x5e80559a, 0x6d8329fa, 0x0a94c0d5, 0xac6ba976, 0x5622d5b7, 0xb8a2982b, 0x3c65b0d9, 0xcf8ce2d9,
+    0xd9c45381, 0x84acb57a, 0x127e6c72, 0xf932bf12, 0x0a89985d, 0x49e5266b, 0x3979d04a, 0x2c81ecfe,
+    0x9c242ddd, 0x7125ef99, 0xdd813e5d, 0x828418c2, 0x2ea07bee, 0x32599dbf, 0x0b731d08, 0x59be835e,
+    0x4e8d6fb5, 0x39a64b15, 0x5c28723a, 0x4b8a4207, 0x03360681, 0x6d8b2c9a, 0x586ab84a, 0xb1dd2493,
+    0x543f172b, 0x2bb8a6bc, 0x3994cda2, 0x89d86ace, 0x63cbcea9, 0xe3bd8593, 0x5be9b86a, 0x7998edd9,
+    0x273f1d22, 0xabe530a9, 0x30546d90, 0xd660219a, 0x2270c3c1, 0x92d933dd, 0x7b378182, 0xaa5d55ef,
+    0x921a2f61, 0xffac4a02, 0x16cdec84, 0x97d424ed, 0x2ebd0ec5, 0xb0f01d9d, 0x9ca0b245, 0x60700086,
+    0x26d74869, 0x4fb2517d, 0xf02abba2, 0xf719633c, 0x44e423ca, 0x94b116c7, 0xcd477fbf, 0x8c7394c1,
+    0xf9fa6db8, 0xaf707f0e, 0x5fd93bdf, 0x8b9bd505, 0xbcfb9990, 0xa5463f06, 0x2615585a, 0xc357f5e1,
+    0x83b518c3, 0x9154eb30, 0xff8cc025, 0xcaeea6e2, 0x973801c7, 0x07d570ff, 0x92ec30d2, 0x6feae5f0,
+    0x09d300fb, 0x64051535, 0xaa638980, 0x3e075594, 0x087e2c75, 0x660362b5, 0x22440bea, 0x78355ce6,
+    0x31c042a6, 0x37b4818d, 0xbe98eae0, 0x9078a015, 0x958a680b, 0x7019d989, 0xbbb15549, 0x0920928a,
+    0x4f6e0180, 0x34391ab2, 0xa9380534, 0x209af214, 0x67e14863, 0x9a3ac83e, 0xa72666a3, 0x883ba544,
+    0xf251f40e, 0x4736f3b9, 0x08e74a8e, 0x6683fdf9, 0xa59bfaa4, 0xf338d4e3, 0x23782c0c, 0x28849d43,
+    0xc991ce27, 0x0cb9563c, 0xceb8dd90, 0x575d4bd9, 0xa03a24c2, 0x4cdf2fbc, 0x12e45301, 0x0d6f700a,
+    0x4bb23a65, 0xe593de6c, 0x2990d125, 0x98605f10, 0xf419b6b4, 0x14b937e0, 0xe4a4a5c1, 0x5ba887a2,
+    0xb70b8ab2, 0xba4a2ff7, 0x89a544cd, 0x7f54bf21, 0x812a1c5c, 0x10e83d83, 0xd7b25e49, 0x7cb871f5,
+    0x3a03bfdb, 0x270c14d8, 0xe262a7ff, 0xfbafb84a, 0x94e15d80, 0xb102cca7, 0x64de2c64, 0xe5dc3f09,
+    0xa6f0d612, 0x4b600d01, 0x7fde8d97, 0x47e95c47, 0x5970124d, 0x76617d5b, 0x6ca95b3e, 0x7cf903c3,
+    0x2d313730, 0x312ee246, 0xf2e40706, 0xfb452803, 0x5f6c0178, 0x843d65fa, 0x93042dc8, 0xb9e0a0e9,
+    0xb64c21ee, 0x6c7611cd, 0xcb5458cc, 0x353d5222, 0x7a194cfa, 0x41529494, 0x4d475d6e, 0x83349c7d,
+    0x76e7827d, 0xcf8b007e, 0x046ca804, 0x702cc2d6, 0x466316e3, 0x23327997, 0xb75945e2, 0x5f4c1b36,
+    0xd442fc15, 0x69b4751a, 0xb06bd9cb, 0x22e129c0, 0x7a547d73, 0x62cba600, 0xffef1540, 0x8f259e0e,
+    0x66c6e919, 0xa4419d14, 0xb05ebc6d, 0x622579e9, 0x042ff182, 0x70aba666, 0xb0576c7d, 0x82e909d3,
+    0x802466b3, 0x34d4c816, 0xdaf0b68c, 0x0e2a30b8, 0x1925ac93, 0x400fca5f, 0x479dd74b, 0x9affdefd,
+    0x5fe96059, 0x7d2ba15d, 0xaf63a278, 0x0849d387, 0xb5daa03b, 0xbbfc0021, 0x9985220a, 0x7e9be394,
+    0x53dfa80f, 0xac0e2d68, 0x3ca4348c, 0xfa637c30, 0x19b92631, 0x9919a402, 0x6646f669, 0x145c500e,
+    0x50933a38, 0x96a4ffb0, 0xf1d8e09f, 0x4e6dc15a, 0xd343f220, 0x14cabd2d, 0xfe54d62a, 0xe100b95b,
+    0x00000000,
+    0xb8317075, 0xbc08588a, 0x1e98be66, 0x54dfdf46, 0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94,
+    0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000087490028991320476974900\
+                          08908470485461412677723572849745703082425639811996797503692894052708092215296 */
+  { 0x00000000,
+    0x5c2404d7, 0xbc66666c, 0xb7b0db50, 0x51acc504, 0x289f7a6c, 0x942d8c06, 0x840b8582, 0x8555b3af,
+    0xf931f019, 0x71f59f92, 0xe770b0c3, 0x3b107e22, 0x596c434e, 0x32d13953, 0xc0bd7445, 0x8343b17c,
+    0x0d611477, 0xd3e8fe11, 0x0c583b04, 0xaf802373, 0x0bdddeac, 0xbf367664, 0x1e443e34, 0xb07b2d68,
+    0x442193bb, 0x76a1cf6d, 0x351dcaa6, 0x0c9d9baa, 0xb33603fc, 0x0a12c6d0, 0x2042e4fc, 0xef7e1c23,
+    0x388094ad, 0xeafb61c2, 0xed67e275, 0xb3c69ea5, 0xad66f54d, 0x7d2e6ca0, 0xd90f3e62, 0x0ef98ac7,
+    0xc1934f3a, 0xbde7a2b6, 0x72578988, 0x5ea2f47d, 0xfe6dfa8c, 0x37ceb379, 0x26e443db, 0x11acf628,
+    0x848c1c27, 0x2518e57b, 0xd2b0a10f, 0xad798f69, 0x8023446e, 0x9ce5e2a6, 0xd54bce6b, 0xaa162454,
+    0x780e477f, 0x2a6fa0d9, 0xbb11a350, 0xe50d8aac, 0x9ac641fd, 0x0b91f4cd, 0x3502b157, 0xfb62bed7,
+    0x8d845ed0, 0x108d147b, 0x0cc18ac9, 0x7063ec80, 0x002d4e10, 0x90a9a513, 0xe512508c, 0x199e3c7f,
+    0xfe49a5f4, 0xc8e5687b, 0x412b2fe9, 0x8371f84e, 0xa8db27e5, 0x2c665cf0, 0x880afe11, 0xcf5af1c4,
+    0x405ea1f3, 0x2d4ecb15, 0x85171c58, 0xc227bdc2, 0x3abf2ddf, 0x36f7e000, 0x0a85b2e1, 0xeb0fdba3,
+    0xc47d6855, 0xb0f202bb, 0x2a6a559d, 0x45b52ce5, 0x510686cb, 0x853b459c, 0x11ddec9d, 0xf043a9b4,
+    0x8b13374c, 0x0b25d7a2, 0x9f02c6c4, 0xf4ac0f74, 0xad15ac34, 0x03645fc2, 0xc9174b02, 0xf145a8f3,
+    0x3a692306, 0xbf200806, 0x6a242b54, 0x9fc9f86a, 0x560be095, 0xfabfa3b1, 0xa33a9619, 0xa6ff7f20,
+    0x99a7bc49, 0xdaba5fac, 0x9a8ced27, 0xb89d516b, 0x91acd5b8, 0x0a959014, 0x3654a7b2, 0x5b1e1637,
+    0x4c4034ae, 0x3acefa30, 0xc101e348, 0xa2a79989, 0x2c5a98f7, 0xb07cc0a1, 0xfcdac634, 0x18bc9ceb,
+    0x408d02cd, 0xdb5e4677, 0x9ed068d3, 0x485dfba0, 0x59a1433f, 0x3afce69e, 0x46d39f9c, 0xf886e058,
+    0x3976eaf9, 0xbee1cab9, 0xa3e3a7b7, 0x5d092b4b, 0xcf1cb80c, 0xbc4a8a91, 0x59ac65fe, 0x9f3089b3,
+    0x1ae05577, 0x0f30a27d, 0x2caad4b6, 0x156b97a8, 0xde894e0f, 0xef40f0ee, 0x59675d78, 0xa41ebedf,
+    0x2f91b0ed, 0xdaba36bd, 0x0861238e, 0xee8dae09, 0x0a643240, 0x64019cd2, 0x8f268617, 0x762dd8e5,
+    0x440cf5a6, 0xfdc5c298, 0xe11d4f5f, 0x1cfda2f8, 0x6bc1edb3, 0x559bcbd1, 0x6caa0005, 0xe83fecf2,
+    0xba03014f, 0x51406258, 0xe54de657, 0x60a96a84, 0x1c17f4a6, 0xbdc5e849, 0x05f34b71, 0x15f4c624,
+    0xe1c91904, 0xa7a30cf9, 0xcb58cdf0, 0xdb724e84, 0x1c95dc40, 0x66ccd786, 0x6f16b681, 0xc2ec1867,
+    0xa0b14218, 0xd73eb441, 0xcc9c79e6, 0x722fe4a2, 0x204fd0f6, 0x29280b94, 0x32f0f4fe, 0x56c74acf,
+    0x86634873, 0x4fbe720d, 0x160a8ccf, 0x8b342652, 0x7e9b3c2d, 0xa16c7b8b, 0x92f3c054, 0x3dc1dbe8,
+    0x922259b7, 0xb0ff57a5, 0xafe09188, 0x61b0b7a1, 0xe25368dd, 0x8d70122c, 0x57bfe505, 0x1e15d197,
+    0xe4fc3eed, 0x144122f3, 0xdc58340a, 0xd0ebe17a, 0xa23b5314, 0x42982d41, 0x5ba97e24, 0x2ae62b2f,
+    0x8ffabc60, 0x254ea206, 0xe5ec3f97, 0x1f9b8f2d, 0x7804158f, 0xf1c65e97, 0xc01875f4, 0x72e4e322,
+    0x2ccf9ef8, 0xdb8e8d4e, 0xd8a4ebfb, 0xd0b98cb2, 0x2761bf69, 0x9e51e08a, 0xfd98e211, 0x19bb2cc6,
+    0x71a885dd, 0x9df5faae, 0xfddb9c25, 0x8a36421d, 0x47b75d75, 0x1ed93480, 0x7c0a6fd3, 0x63178686,
+    0x704a0bde, 0x0627a741, 0xe91ba6d0, 0x9208a9de, 0x5cca73f2, 0xf44660a1, 0x135225ba, 0xaadcea48,
+    0x281b742e, 0x9d40c961, 0xe2fccb0e, 0x9ab88762, 0x5869b9be, 0x7e746b79, 0xb77aab59, 0x982092ea,
+    0xe6566466, 0xe6afba93, 0x7326b025, 0x2b00190c, 0x1daaa610, 0x9f03fe3a, 0xfd8b4fa5, 0xcf9eae95,
+    0xa1d330dc, 0x75348d47, 0xa10f8419, 0xf0b49b25, 0x1a83b408, 0x007ec4c2, 0xaab311fa, 0x3f8511a4,
+    0x8aedd72f, 0xb21485ca, 0xccbb7cf9, 0xb322ade2, 0x35d597ca, 0xb9f47744, 0x1a742aea, 0x64a0f1aa,
+    0x3d2c6bf4, 0x0d2e5e7f, 0x927bd509, 0x5d3c5336, 0x9d5cce7d, 0x76e94a06, 0xbd0e08a2, 0xc5c575bd,
+    0x8c641630, 0xf7d6c5b4, 0x670db8bb, 0x1b0bcbf9, 0x8f0b58ca, 0x8ac8a323, 0xe7c57073, 0x358dee0c,
+    0xe6ca2e6c, 0x622e4839, 0x7568e192, 0xfe9d932f, 0xa99942ac, 0x712c58f7, 0x1fa8ea08, 0x4f22f220,
+    0xa4a46c50, 0x816f691a, 0xe9cfd0bc, 0x6987fe22, 0x88ef7ac4, 0xa9c3431f, 0xc8990fc5, 0xefc2ab50,
+    0xd794ced6, 0x4a304159, 0xa4d4aae6, 0x274d9a57, 0xec8db119, 0xd7c4ce86, 0x39b6277d, 0x1c34969b,
+    0xe3d330c4, 0xe661a4c4, 0xc096020e, 0x023cdf76, 0x6e54e6a8, 0xccb54f3b, 0xb47f001a, 0x971dc07b,
+    0x5a24a514, 0x6037596f, 0xf88546ad, 0xe3ef78f0, 0x2a91bc6e, 0xa10c9ff6, 0x7e48f237, 0x203e70ca,
+    0x10d1dfbe, 0x9a6d233f, 0x3caa7a74, 0x0187bb18, 0x518bde00, 0x607eb20c, 0xb21332fe, 0x3eee6e85,
+    0xe5c34377, 0xf62443b6, 0xaf338321, 0xee4689f8, 0xb25e0d06, 0xf82d5369, 0x1ef542fd, 0x341515f5,
+    0x6c7a1255, 0xbce44d9a, 0x6ec887f9, 0x173d7139, 0x6317bc20, 0xcf51547c, 0xfff9d5d5, 0x2c0767c9,
+    0x7adfc215, 0x94d3ebc2, 0xd275366f, 0xfb4d4985, 0x1c8b140b, 0xf8babdcc, 0xe5218403, 0x2cd51641,
+    0x2df1e534, 0x3349f361, 0xbba6a3b2, 0x9be1ade4, 0x8b3c3bf3, 0x3a48ff84, 0xb898266f, 0xe3d8f1ee,
+    0x0abda0bf, 0x2a67b0a3, 0x8630267e, 0xde0eb896, 0x0640f3e6, 0xd93319ee, 0xfd9cce7f, 0x0a623e28,
+    0x6eec59f2, 0x9c722234, 0x3dbcc330, 0xce8c7228, 0x0251ff59, 0x787bb135, 0x53a8b90a, 0x940e2bce,
+    0x561b6697, 0xb86ce232, 0xc5437026, 0x6fe68e9e, 0x44e3e8c5, 0x6243cc75, 0x40aea4ea, 0xaf23fcfc,
+    0x2df8e341, 0x3b666b75, 0xed7046b2, 0x593f36ad, 0x57592857, 0xca7ea317, 0xc1c1007d, 0x7b6fb102,
+    0x516f3d96, 0x5735299a, 0x3528d555, 0x25ccb9c1, 0xb3a0a74b, 0x50bfdcda, 0x45262e8b, 0x327f6352,
+    0x1dcf548c, 0x84b8c097, 0x21729fe7, 0x73e4bdb2, 0x07bc7df0, 0xb0ccbe44, 0x80f13bc5, 0xe2466c5b,
+    0x478b8cfe, 0xa00bbc79, 0xf96af2ae, 0xff0d4ea6, 0x9137eea2, 0xb967fec4, 0xec45b623, 0xeb224dea,
+    0xf16fab20, 0xeb250685, 0xfab2bbdc, 0x6cb08749, 0xd6eb4ab4, 0xcc93140c, 0xe0565758, 0xd3bfeb20,
+    0x84af5e9f, 0x53457846, 0x40a182d4, 0x28a7de1c, 0x53457ef5, 0xf434ee3d, 0xefbaa8da, 0xed8830f5,
+    0xb24e3a8a, 0x156ddf34, 0x22d087e0, 0xf2a21206, 0x0d1a5ccc, 0x3517bc75, 0xc8866be9, 0x590b596f,
+    0x96700a39, 0x7bd30f13, 0x62e3023f, 0x962fd1b5, 0x97f0cb55, 0x06ceddb1, 0xaa1fd26f, 0x0c43fa9c,
+    0x497921d7, 0xc481266f, 0xf2f98429, 0x34cbfb49, 0x6d3aa944, 0xd776993d, 0xd33cab8f, 0x478a5f68,
+    0xeec04404, 0xdb394911, 0xdcf9679e, 0xceb4effc, 0x50e4c6f6, 0xf9d02481, 0x1591e359, 0x29536a3e,
+    0x0deefc98, 0x8ac37103, 0xa6c53577, 0xfdd4e026, 0xe8f63835, 0xf1de768f, 0x3d995030, 0x94b0df35,
+    0xdcde7421, 0xb3d65f9c, 0x834d033a, 0xcd60981d, 0x5e2b1f71, 0xc30e487d, 0x6bdabf0f, 0xc09df2ae,
+    0xaf75f2b0, 0x5721e5f1, 0x27c66c8b, 0x491a3132, 0xb52a8ad8, 0x4c983769, 0x614c74d6, 0x7d0a0be2,
+    0x72c1d740, 0x8b15986e, 0x3069b1a9, 0xc7cf3a29, 0x3a84acf4, 0x98a3f3cc, 0x5fc81318, 0x6375ebcd,
+    0x811b531a, 0xa4dfe4c1, 0x2996af2f, 0xd303a01f, 0x934ed506, 0xc79d1b18, 0x1ff7b6b5, 0x96932e69,
+    0xadd8ba8b, 0xe346decd, 0xf1d3792a, 0x39748d1d, 0xfb6ef929, 0xe5d87e7d, 0x47c8fdc9, 0x79d2adac,
+    0xb4f1220f, 0xce4d4662, 0x854de68a, 0xf12476aa, 0xf688a297, 0xcf1e30c1, 0x90506075, 0xd9825d3b,
+    0x914c6ccf, 0x136ecee6, 0xf0b0888b, 0x31710f06, 0x36c45d5e, 0x6bb90778, 0x128287dd, 0x53202169,
+    0xbbd09588, 0xa0a37b81, 0x9059aa63, 0xf523a8bf, 0x2ab4744c, 0xeb6d7bfc, 0x93e63df9, 0xca537029,
+    0x12abcabf, 0x6d44b030, 0x8124749b, 0x8f80c523, 0xd905f295, 0xb5d6defa, 0xdfe0825c, 0x0008b739,
+    0xe26c2534, 0x0212c622, 0x46337b59, 0x01607952, 0x4c54f29e, 0xca015dff, 0xbf207f4c, 0x2c9161ae,
+    0xf22fbd4a, 0x8c1d2ba4, 0x80c80021, 0xca284d5f, 0x3ba04a5b, 0x2b2e8d7e, 0x2689c3b7, 0xaaf1de5c,
+    0xaacdd3e9, 0x92fc53c0, 0x20ee19d1, 0x3d719a38, 0x728d6cfe, 0xaf3ed841, 0xa935dd9a, 0x1c9ba8b3,
+    0x0e64c11d, 0x16ab1168, 0x1a97154e, 0x4bdd657b, 0x310b4ce8, 0x9b65aada, 0xe4675dc3, 0xe552873b,
+    0x45ada7f5, 0x461ea9ab, 0x945a08de, 0xb0239dc1, 0x8a66c6a8, 0x40d56f53, 0x905bfcf0, 0xf2d67466,
+    0x107afba8, 0x4019f465, 0xc7aefa0b, 0xd7c7da5a, 0x5fe1526b, 0x347d989d, 0xa94c5d9d, 0x72c4d5b9,
+    0x0263626d, 0x832e2da0, 0xc1ec475e, 0x2883ba76, 0xb22cf451, 0x257c7a15, 0x517e05f2, 0x672c59ca,
+    0xe4a05781, 0x9e6bb58a, 0x70801d35, 0x29932fd5, 0xd19613c6, 0xbb4cd9d4, 0xbea0030a, 0x62e44002,
+    0xb3e1175f, 0x867d46e9, 0xa7dc016c, 0xdeaf94b1, 0x65ca6ac9, 0x22ca7647, 0xc7221db0, 0xde0cf0c2,
+    0x41e90248, 0x7d03116f, 0x535b8043, 0x60a66b68, 0x81c4eaa7, 0x828fea8f, 0x2eeb7201, 0xab57cbc8,
+    0xb685e798, 0x79a03e77, 0x1483789c, 0xb3f01b0a, 0x87858865, 0x9a4ae99b, 0x0efbe874, 0x5383190a,
+    0x656850aa, 0x7490fe1e, 0xa0668d8c, 0x11e9103a, 0x65fafbe7, 0x04fffacb, 0x2728a97e, 0x7c26b054,
+    0x1d8db3bf, 0xfceb97c2, 0x8efe1e57, 0x60414054, 0xc1a6cd78, 0x25c57e63, 0x26f4ab0f, 0x00813506,
+    0xabf70e61, 0x1f67b1c3, 0xa3befa21, 0xacf7e584, 0x1d74ba1f, 0x3fb60a3f, 0xbd0d81d8, 0x46be540c,
+    0xd085b9eb, 0xb094c697, 0x7522b28b, 0x10ce27f0, 0xabca1602, 0xb51783f8, 0x4fe20db5, 0x3903552d,
+    0x6f4455ac, 0x73b19b00, 0x036601bc, 0x36a668b6, 0x9c20c0d0, 0x40310f5e, 0x2e533d51, 0x26fa4bab,
+    0x02c30bbd, 0x45e42ef7, 0x4b13225e, 0xc362ae4e, 0xf5d801c0, 0xbc032b76, 0x186bc7ad, 0x4d81fe82,
+    0x34fc645f, 0x271f7763, 0x48c213f7, 0xeb2e424b, 0xa4a41d4a, 0xc5cf989e, 0x4e0cb3f5, 0x30773ab5,
+    0x8e31abd0, 0x33cc4873, 0x02624580, 0x526cf96f, 0xcaeb5bf1, 0xc841aa7b, 0x2e0366b8, 0xea062ae1,
+    0x9a9e737a, 0x159cfd06, 0xd3d3a16f, 0x63edbbff, 0xbcd673d0, 0x2b76611b, 0xc43025e1, 0xbe4ff466,
+    0xa866b99b, 0x22dafffa, 0x56c5c9b0, 0x1df4a03c, 0xe2670618, 0x75e6ce7e, 0x828d5275, 0xd1e92397,
+    0x667c5893, 0xad5d2f84, 0xabfe9e06, 0x6f4c1de1, 0x1cded78f, 0xdb920068, 0x9ebeaa5f, 0x5c54b9d1,
+    0x0d8309e4, 0xb180ffcf, 0x3ff368bb, 0x77e54a46, 0xaf0a70fe, 0x0f079d09, 0xe218c55b, 0xaf780ebf,
+    0x00460103, 0xf45a6ff8, 0x1c68659a, 0xfc057948, 0x213c47e4, 0x5ec7fdea, 0xc3296609, 0xb3368c16,
+    0x6ff6ebd4, 0x2babae57, 0x283c89a3, 0xca446ea5, 0x2262ea7f, 0x9fa3406c, 0x4e671d2f, 0x25d35b50,
+    0x578a4071, 0x4040af4b, 0x36cfd880, 0xa486ae29, 0xb162b66b, 0xbcf90ee8, 0x34acfd3b, 0x49b45b61,
+    0xc09d8ed0, 0x10ef3c63, 0x22fbbfda, 0x14b9ce5d, 0x580d1ba8, 0xd4dbabec, 0xdc7abd2b, 0xf8e61cd2,
+    0x5ace36f7, 0xbba9eb4f, 0x4730e355, 0x8c58b2c2, 0x2d1270f7, 0xfb1a5f66, 0x82b50133, 0x491c39cb,
+    0x72c02242, 0x2ee296ff, 0xb3bc787c, 0xcc91511e, 0xd915f238, 0x7004e98b, 0xb375646f, 0x0a69e3c2,
+    0x42b048a1, 0xffec8989, 0x83b32fd5, 0x459abb83, 0x0cba12d2, 0xa94e04a6, 0x8f1f1ce4, 0xb2f99975,
+    0x4f1d15b2, 0x54ba8f35, 0xe8cb5fdd, 0xdb34abcf, 0x100dbffe, 0x1e5736ef, 0xa57e97ab, 0x28df4426,
+    0x60002a71, 0x9d645732, 0xd40756ca, 0xa7454777, 0xd9f2aec5, 0xb28dfb37, 0xc7f23e08, 0xde63dd3b,
+    0x06e00ccd, 0x374fee26, 0x722b0b50, 0x7f08c268, 0x1d6947a1, 0x5e468709, 0x6e215f0a, 0x63fb6b88,
+    0x9dca92a7, 0xaf4febbf, 0x29828070, 0x5d431205, 0x24c44e89, 0x9279882e, 0x80386b67, 0xc2b966a3,
+    0xc12eb742, 0x113b10cc, 0x7d13e6cf, 0xe912595f, 0x0229c7d0, 0x4658eebd, 0xbf564e9f, 0x80d90e87,
+    0x39ce39eb, 0x3db332a9, 0x521a2cab, 0x230d534d, 0x77ee83ad, 0x2aa17860, 0x33e0b0f3, 0xc1a704bc,
+    0x793cce81, 0x1ff2568a, 0x2862ad5c, 0xc4a0bec7, 0x3d3a773d, 0xaf9b6b31, 0xd909b15a, 0xba2ce339,
+    0x065bfc63, 0x1121591b, 0x83e833e2, 0x6f8a6cc0, 0x22f7f956, 0x814a85e1, 0x0a654f3b, 0x6b51c414,
+    0x372f51ee, 0x2ac8171a, 0x24794418, 0xb55a253f, 0x05ffdeb2, 0xf8ba417e, 0x57729c85, 0xfe9e1ca2,
+    0xbdeb4e57, 0xe374139f, 0x3f61e61b, 0x93de9f0d, 0x54741e6a, 0xc7181ad6, 0x205b3b19, 0x916fd12d,
+    0xcb3e80cc, 0x382f33d7, 0x6788fb34, 0xaab2608a, 0x766946a4, 0xeb5a1849, 0xc21762d2, 0x736ab229,
+    0x01d30b8c, 0xf16ca4c8, 0x5e632d60, 0xcc6bd0b2, 0x759ee2eb, 0x74682312, 0xeccf77e5, 0x82f16dc2,
+    0xca79c2c5, 0xb8856064, 0x252f2815, 0xd354d9fd, 0x087950d8, 0xb492c119, 0x41620f25, 0x2827f42d,
+    0x125ca27e, 0x166daf5d, 0x0c95d83f, 0x0f65a98c, 0x9fd7066d, 0x5c1e0a64, 0x43aa05e2, 0x0c76b869,
+    0xf454dc17, 0xb542d946, 0x87dde681, 0x3350e27f, 0xa0d03ab2, 0x4c2bb39b, 0x1a1ed8ea, 0xeb167a6f,
+    0x96bf348c, 0x43a51765, 0x4541be55, 0xbdb44fa8, 0x608d64f0, 0xee155734, 0x46879cb2, 0x57726ca1,
+    0x2a0743ed, 0xa7ad553f, 0xa4e7df7d, 0x23f1f10e, 0x77114a44, 0x21326fac, 0x0e1b896c, 0x5fcc9b27,
+    0xe6a0c233, 0xb35ec38b, 0xfd42aca3, 0xbd576100, 0xde3b5662, 0x82a3257a, 0xfa960e50, 0xecfbaa0d,
+    0xbf03e318, 0xcf384ed5, 0xf8015cdf, 0x07fe856d, 0x9baafe60, 0xb60192c2, 0x139d8e62, 0x571f7750,
+    0x16c13f88, 0xefe749a6, 0x1a831f1e, 0x8a2062e6, 0xda33eb5e, 0xda731a3a, 0xb16669c0, 0x96243045,
+    0x288d984b, 0x8c1b252a, 0xe38a10f0, 0x7879c3d5, 0x2e9ae563, 0xb1b5ad25, 0xaf8156e9, 0x5d378614,
+    0x16323577, 0xb14e68dd, 0xfbd3d810, 0x4f714da9, 0x9004a74e, 0x4fbc3713, 0xd1ebea9d, 0x13056f04,
+    0xeda18118, 0xa01080ad, 0x17ec0a2a, 0xc354b28a, 0x7ad810cc, 0xe22c137d, 0x7ee653c0, 0xa70f3014,
+    0x24696f02, 0xe2b9f92d, 0x05d418a2, 0xe0602726, 0xa4872e1e, 0xd521baab, 0x0f9b1c67, 0x50f9a1d6,
+    0x80e0da06, 0xec992550, 0x7deeda1f, 0x8e2fc2ca, 0x0fd22215, 0x5d58c0b9, 0xc9d3d550, 0xc2357a1e,
+    0x44fd71f8, 0xeae27fb0, 0xbdc74845, 0xecc84303, 0x348530e7, 0x2564dc48, 0xf04f1e7b, 0xa9b4e9e7,
+    0x00000000,
+    0x5c18b83a, 0x5e042c45, 0x0f4c5f33, 0x2a6fefa3, 0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a,
+    0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000043745014495660238487450\
+                          04454235242730706338861786424872851541212819905998398751846447026354046107648 */
+  { 0x00000000,
+    0x0a1ae6d9, 0xe6c6105a, 0x1666174a, 0xa9328440, 0xe9cfafbe, 0x7089c2cf, 0xe38541f3, 0x46a1c2ca,
+    0x0edc3473, 0x9ac7e98b, 0xac8c19b0, 0x84e193c1, 0x9acb1cc7, 0x6c1a815e, 0x59bb8c85, 0xb984cd9f,
+    0x89d16ea2, 0x3008f846, 0xd8cf7743, 0xd4638fd7, 0xac60dc45, 0x6f90f20f, 0x6365eecd, 0x3e0bc264,
+    0x099fc72e, 0xaf39126a, 0xdce87f64, 0xf65b9fc3, 0xa046339e, 0xb664e875, 0xc48a773a, 0x337acbde,
+    0x1cf81c58, 0x35ec55c9, 0x18de2290, 0xfe677748, 0x5a196446, 0x9d274f18, 0x966cf0ee, 0x389836d2,
+    0x7d528415, 0x24b52f65, 0x16a2bf76, 0x4c3f3eea, 0xbc3f6b21, 0xa3a6a9c2, 0x08f4ba10, 0xa705528c,
+    0x0a7a91fc, 0xc0e563dd, 0xdfeaeeff, 0x3d2fd866, 0x77901880, 0x5727717f, 0x57607181, 0x3685a637,
+    0xe89027fd, 0x500e0f46, 0x57866147, 0xdf24f764, 0x33dfbc18, 0xf630bd7a, 0x295dd3e0, 0x2cd421e9,
+    0x1176cd58, 0x974c4294, 0x596c0b38, 0x39ac850d, 0xdad1f280, 0xf383169b, 0xa3f306ef, 0xb6263bb4,
+    0xaafd0e36, 0x079be5e0, 0xa5c12187, 0xef0efab5, 0x44856f8e, 0x57b017f6, 0xb5023f71, 0x3d78279a,
+    0x95d23234, 0x6a462c36, 0x0612bdb9, 0xdf4bf551, 0x258e6eb8, 0xd3f73fe3, 0x5e450937, 0x35fe5901,
+    0x71c5e709, 0xbc69205b, 0x6b61d11f, 0x1916fc5a, 0x9f0a6b89, 0xd0a845a7, 0x66063983, 0x595c4527,
+    0x26f5c627, 0x89e88d63, 0xa375741d, 0x1b9f5a84, 0xee993e0e, 0x0cac61a4, 0x60faa1dd, 0x109ab1e7,
+    0x66c77cec, 0x93baaac7, 0x92a454ac, 0x46c55652, 0x80c4bfd3, 0x7df585e5, 0xe485d294, 0x1fc21c31,
+    0x5ead5526, 0xe91ae396, 0x89076177, 0x8655487a, 0x59e39bad, 0x1a927c57, 0xca21ad0d, 0x3f5a54c3,
+    0x382d2d17, 0x340db9e8, 0x2bc3238e, 0x6679ab88, 0x4d964453, 0xb5f27e78, 0x13e285c0, 0x31f54898,
+    0xed172c29, 0xdd0c0eb2, 0xbaae6b95, 0xbe545fa6, 0x89059885, 0x37db59c2, 0x403c6296, 0x7a486809,
+    0xf81858ae, 0x7953455d, 0xd8543cbf, 0x902a1634, 0x86c2bfc8, 0x55011e79, 0xc5e76c31, 0x4ba56301,
+    0x59ccc538, 0x8646551a, 0x65ec979a, 0x9283b223, 0xf7efb297, 0x8c650c82, 0xcf11a8c1, 0xaf13d294,
+    0x91d457ae, 0xe1ad539c, 0xa1031105, 0xd26f85e0, 0x7ed51bb8, 0xbd792982, 0x951bf988, 0x44b6bd3e,
+    0xbfc1bfa7, 0x5a488b51, 0x692adb8d, 0x2b2ba3ff, 0x2f8d6db9, 0xc04d5cf7, 0xe4ab65f8, 0xe08a7ed3,
+    0x9b7d7508, 0x12323261, 0x5450481d, 0x597f8f1b, 0xa28d315f, 0xc1fd192e, 0x37c3033d, 0x2eeb22f3,
+    0x542f9f71, 0x2b59b4b5, 0x70257d86, 0x858847c5, 0x74d39ee0, 0x94b552d6, 0xc6798cb5, 0x733824d6,
+    0x4100ea72, 0x1279154f, 0xe2ceae04, 0xf3bd2e8a, 0x47522c49, 0x02f1d874, 0x9aba67cb, 0xff227f39,
+    0x035eb93c, 0x3dbd00ba, 0x358d5ee8, 0xca9acf81, 0x57913706, 0x456c14e5, 0x1ab807f3, 0x8318c44a,
+    0x6a348830, 0x6e3c3917, 0xb6cb73ed, 0x427a65f0, 0xc009f966, 0xc8a3852a, 0x99ee74ba, 0x46bb2b74,
+    0xa4ea2ad4, 0x4911511b, 0xd40693ec, 0xaeaf9025, 0xa6dd9208, 0x1ce8d944, 0xd8476aa3, 0x36839f81,
+    0xde79cb03, 0xa96eb9a3, 0xcc9f00ad, 0x17e7c82a, 0x22979b54, 0x9c199024, 0xaf495ef9, 0xf0e3b62b,
+    0xdcf60d92, 0x5bcc8491, 0xcef3ea03, 0x8f2417be, 0xbbc7b91e, 0x40742d14, 0x09aadfb5, 0x8a5bf088,
+    0xfba758fc, 0xf60507c3, 0x57003fb9, 0x96f11083, 0xbe73f58e, 0x5d0c0a19, 0xc2dfb3dc, 0xe6de8e14,
+    0x740a3865, 0xda53f7b6, 0x3313c25d, 0xa5e5b153, 0x7ddcfb31, 0x82d1f6b7, 0xe400f976, 0x5cf0e8f8,
+    0xf0caa0c5, 0x2d44ceb8, 0x6866511c, 0xa95aff48, 0x01577f48, 0xc0949004, 0x002fb847, 0x42e0a898,
+    0x28773919, 0xf6612e49, 0xcb1f0480, 0x8a235e48, 0xeca4945a, 0x1d19a376, 0xcd9e4687, 0x007696c1,
+    0x8170c06d, 0xc42e8d83, 0xa6095f4e, 0xbb9f2ea4, 0x84c7fcd6, 0xf49829ef, 0x2709adcf, 0xe23dd895,
+    0x54c23f58, 0x50f86d81, 0xc90301a2, 0xa1fa5be5, 0x094f87c4, 0xafc67b7e, 0x4de34f4a, 0xa39cf57f,
+    0xc46a426c, 0x5bed71de, 0x32efe9c9, 0x50425f93, 0x26bcf403, 0x56ce2fc4, 0xf23b75e8, 0xd53db7c4,
+    0xf0eebf13, 0x6b509966, 0x263348f1, 0xb31d4757, 0x8b5e1856, 0x39d76967, 0x07bbcc8a, 0xa1e1b8f5,
+    0xf21eb6bc, 0xd499fffe, 0x9709d3b6, 0x01cc0cab, 0x3d9d3da7, 0x2844d266, 0xc24c45a0, 0x43eb2cf4,
+    0x2c9621e8, 0x9221b3e2, 0x1af83518, 0x6b3fe90a, 0x716ab79c, 0x6edbaa50, 0xb0c70b3b, 0x61e696a7,
+    0x7b2965d9, 0xbda8fdeb, 0x85d23faf, 0x3fbb2bfd, 0xc4d57307, 0x014190be, 0x30b7de4b, 0x4c3bdf16,
+    0xb0c133d7, 0x68536ed7, 0xa78307d0, 0x8983ba24, 0x5404d238, 0x8aaffdcf, 0x4e875acf, 0x906bed7e,
+    0xff6dc8e1, 0xdb805bb4, 0xe11181d1, 0xba8b5b36, 0xf139d091, 0xb23d2b56, 0xf3c0b61c, 0x23627287,
+    0x55d065c7, 0xc56c6c35, 0x1617a3a6, 0x4b204bb9, 0x19903a28, 0x8ac243b4, 0xb6ca4a09, 0x75600cb0,
+    0x6daf2b58, 0x2f43dea9, 0xcc0c882e, 0x8941410b, 0x8bd9f4bd, 0x2745626d, 0xb169a63a, 0x2d76f013,
+    0xf2becfe3, 0x1b78611b, 0x68c1e70d, 0xd8734fa5, 0x8743910e, 0x35928b36, 0x4e0372b6, 0x1db45792,
+    0x96698652, 0xe34c6c2c, 0x76a8bc78, 0xce1257fc, 0xce0e507a, 0x88ec277a, 0x7aede534, 0x18f9547d,
+    0xa0515328, 0xb43cbc87, 0x59067c04, 0x50bf7cc7, 0x1bc78971, 0x990fc8a7, 0xb6df1226, 0x0a308e8a,
+    0xb3b142ff, 0x948e6947, 0xe2182bd3, 0xa5345d44, 0xe736783e, 0xdb09cae0, 0x27d3e05f, 0x6efbf97b,
+    0xf0982f88, 0xfc04f5a3, 0x10ea7657, 0xf37837ed, 0xd7ae19dd, 0xd3f67f72, 0x50d8d64a, 0xda49a983,
+    0x473b0786, 0xc7d1ec06, 0xe2e3a73e, 0x6716b4e1, 0x4a30638d, 0x8ae5976a, 0x3ed4107a, 0x53a36fcd,
+    0x5bf36e17, 0x0af1719d, 0xb544b517, 0x57dcc0ad, 0xb5f35e67, 0xde0f1c57, 0xf4fb14fe, 0xce6caa7f,
+    0x9aff4924, 0xcd0fa57e, 0x31f53ee7, 0x2e6c5e07, 0xd34fe9d8, 0x2ec1e5fc, 0x6dea0cc5, 0xdc88f197,
+    0x558d79a9, 0x1543e214, 0x75d99bc2, 0x289ed3ff, 0xe5bc1b04, 0xe103277c, 0xd95ae0b5, 0xd0bc9801,
+    0xc0bbc60a, 0x7b7581df, 0xcd89403a, 0x8959fb5f, 0x45b6fa3c, 0xee537cb3, 0xa815dfe0, 0x2e732750,
+    0x931e4241, 0x8e01a1db, 0x2a399ebf, 0x6478a81b, 0x9325cff8, 0x6c4cf6a4, 0x72d35879, 0xb5d9e3fb,
+    0xb15be582, 0xd5708624, 0x031dff07, 0xe230de13, 0xa6750d3b, 0xe8acfcb6, 0x27e4dd7e, 0xbe4a7ade,
+    0xdc9bb88c, 0xf8319da9, 0x51d20dcb, 0xfe899def, 0xd78221fd, 0x266d125e, 0x23d0fdbe, 0x884ac99e,
+    0x1d0385a2, 0x912d5d11, 0x3e9fdd0e, 0xa0f246ea, 0x97023fc4, 0x13c696e3, 0x7a302e8b, 0x87d0cbc2,
+    0xb46ce438, 0x029535b8, 0xd7dda1af, 0x064b58a2, 0xbfce2af3, 0x6025c8cf, 0x175ab290, 0x1af95a20,
+    0x7a31dc62, 0x122bc3a6, 0x0b8d131c, 0x0c71a1cd, 0xefa05493, 0x1ada676d, 0xaae61573, 0xa425f723,
+    0xc06cd291, 0x496ece02, 0x5311e23c, 0xd8c1354d, 0xad4b00f0, 0x6139f865, 0xde661e20, 0x7d6533e3,
+    0xa25eea8e, 0xe2221a58, 0xd7238515, 0x31da2e91, 0x8cf57a6e, 0xdd4b5f29, 0x271270a3, 0x1897520a,
+    0xe5007c6f, 0xe6f71809, 0x1901cdac, 0xd1dc34b5, 0x4f7682b5, 0x2f1d6dec, 0x8650d31f, 0x2ce26bcd,
+    0xcde8c1b3, 0xd283bc4a, 0x8cebaf57, 0xf018ce6a, 0x7b1505b6, 0xeeb0898e, 0x24d3edb0, 0x5aa6c2bd,
+    0xe7c3722b, 0xa3648ddf, 0x574c9ff1, 0xde962152, 0xb01c17de, 0xe5f83385, 0xbc1cdcf9, 0x3a0af445,
+    0xcb513445, 0x1039ffb4, 0xe19e2bc2, 0xf70953b2, 0x0f090cc5, 0x9749eefc, 0x4527b5ef, 0x38d61584,
+    0xf2d05354, 0x9fed78d6, 0x67676e62, 0x31858ccb, 0xed4410f4, 0x5e3f03c1, 0x1be63e82, 0x54ba2b7b,
+    0x4456015b, 0xcb2eda54, 0x356ee7c7, 0x9f7433e5, 0xfe688e7e, 0xfeeceffb, 0xd440f7d6, 0x8b1fbd56,
+    0xab02fb49, 0xd563369f, 0xf4349eea, 0x316258c3, 0xd3b29899, 0x3733803b, 0xb43630e0, 0xa1e31322,
+    0x699d795e, 0xd8ef8158, 0x7d9edfa3, 0x01376ce6, 0xbefa1d82, 0xe3590561, 0xe6959f4e, 0xcbacd00d,
+    0x79c73aff, 0x71f61bc0, 0x8e022054, 0x4e9f8510, 0x0fca292c, 0x00db5781, 0x5726b068, 0x71348ddc,
+    0x72c47156, 0x3a4b0f54, 0xc874ff9b, 0x9fe701af, 0x9a0203f2, 0xa40d0916, 0xac47bace, 0x89aa289f,
+    0x38aa55e8, 0x357d85db, 0x8b739616, 0x5aa5dd1b, 0x07038707, 0x7eca499a, 0x84541dcf, 0xd764b73c,
+    0xb560e2e8, 0x15ba42bc, 0x48dcd2d4, 0x51f8f4dc, 0x710e1c13, 0xd1866517, 0x9fcacc6f, 0x7e5d2310,
+    0x1906bbfe, 0x150aec0b, 0x5c792540, 0x3ddbeee0, 0x5c302e55, 0xecc947cc, 0x2547ede5, 0x22e251fe,
+    0x62ab934f, 0x8825b7e4, 0xc16be2a9, 0x88230a4a, 0x90f3bb6c, 0x894fafe8, 0xf80faf6b, 0x312bfca0,
+    0x4a80f954, 0x8ae9d04f, 0x404cb6c8, 0x0333e754, 0x4bc663bd, 0x688b41de, 0xc88e6d25, 0xc0f88560,
+    0x6d0357f4, 0xf9018096, 0x02fb9da3, 0x9ae894c3, 0x450f48a5, 0xc743ae3e, 0x1175c1eb, 0x3775a3cb,
+    0x1e3d3204, 0x9a6566c1, 0xf9ab59e3, 0xcef50731, 0x4890db4f, 0xbf5b5969, 0x69aa3278, 0x0d4a7f6e,
+    0xcd41c660, 0x5cc2c063, 0x333e83d0, 0x1dc4886f, 0x01dc1a3d, 0x9efdda64, 0xb9445948, 0x13e83fcf,
+    0x69379ac4, 0x86a834ba, 0xcd1ebffe, 0x72274821, 0x069efa8e, 0x800b0216, 0x218b755e, 0x3e063abc,
+    0xf18e1c4a, 0xc05263db, 0xcac5d88a, 0xee79dd0c, 0x29fb0cae, 0xf3a3768c, 0xce2d1b03, 0x94e25a51,
+    0xa5f54f42, 0x83613312, 0x53021699, 0x311daf74, 0x52efc67d, 0xd247ef02, 0x2969cb62, 0x2e3ec588,
+    0xe13fa6e7, 0xe6425fda, 0x9c6d6348, 0x119e6745, 0xadcbb791, 0xcc84f08e, 0x699ccd3c, 0xae45738e,
+    0xaebad3ea, 0x301cdabf, 0x9c3d99c3, 0x3a192ff7, 0x6e8106ae, 0xeff94b92, 0xdcd0c3d4, 0x87a782e2,
+    0x7a35707d, 0x443389cc, 0xe9cf950d, 0xe18382f8, 0x6c40a548, 0xbfebec69, 0x0ae1e2f6, 0x4fd4014f,
+    0xafce5a14, 0x99ee229c, 0x424ea366, 0xa514da7b, 0x348b62de, 0xb5158264, 0xff98d512, 0x7779e5e6,
+    0xa4c77793, 0x1e130191, 0x5b3ca63c, 0x0e3c971d, 0xd3ff2764, 0xf63cc0d6, 0x169226c0, 0x9367d96a,
+    0x8d72954f, 0x2bcf4d60, 0x83b27593, 0x106ed49a, 0xd616e611, 0xca38f62e, 0xfac8aa62, 0xe876e9d5,
+    0xe5b1343f, 0xa0e33d18, 0xe4925556, 0x4c23ac24, 0x11ab6a16, 0xc7e5befc, 0x0cfaaba4, 0x41a02b04,
+    0x23737d04, 0xd7a973f6, 0xf9232180, 0x6de302ed, 0x97449f5c, 0x888fcb3c, 0x320d6fe3, 0x70752360,
+    0xc000d1f0, 0xd152b044, 0x0cf43985, 0xeb4570e6, 0xfe2713ab, 0x2f999950, 0x6c48cac7, 0xe8d66ec8,
+    0xba07c65e, 0x7d9ef551, 0x1113d445, 0x445fb69d, 0x8cbef905, 0xb1b645c9, 0x1f9bb3dc, 0xe4eee1a5,
+    0x29620c40, 0xd0e29c5c, 0xf4e7ada7, 0x6e208f11, 0xc364cb75, 0x2a84e62e, 0xd7b3f9f0, 0xe7ea74c8,
+    0x9f3237f5, 0x2e1e18ab, 0x8ab58783, 0x8ad0dc82, 0x5690f767, 0xcd9a61a0, 0x664f7857, 0x4c374ccd,
+    0x22ae0d59, 0xec6a7569, 0xe43bd589, 0x6008811a, 0x0f44cd06, 0xaea9d5c6, 0x0ff06af8, 0xdd2158c0,
+    0xb8e47a6e, 0x1ada6481, 0xe5b48ffc, 0x233e80ea, 0xc9b3dd04, 0xebcf655f, 0xc9ada35b, 0x30b11362,
+    0xa5ed5319, 0xa59e1fb3, 0x898c5fad, 0x2ac31b3f, 0x0b609b5b, 0x44913b5e, 0x7e56649c, 0x9a65fdba,
+    0x4da154bc, 0x406438dd, 0x1ba51afc, 0xce36f6eb, 0x5ab7fd6c, 0x9480f78e, 0x86313dbb, 0xd6382f4a,
+    0x50e62efb, 0xce7c9050, 0x85bbf95a, 0xc7d9a6e3, 0x11a05103, 0x4fca3afb, 0x68d5b4ac, 0xf29ba0b0,
+    0xad935700, 0xe3eb4881, 0xdc4f48cf, 0x4579e082, 0x9def3146, 0x8df70a97, 0xb512f31c, 0xd6af3d71,
+    0x34ea2d94, 0x0df148f4, 0x88f18939, 0xa3f66a64, 0xad032bb0, 0x2ca790d7, 0x05d0f3a6, 0xca47a46a,
+    0x7f6c912b, 0x15dcd2df, 0xd2a116d5, 0x251e25f9, 0x78b19cf7, 0x34c6624a, 0xccfa0bc6, 0xe4b1c0f9,
+    0xf1e2362a, 0x7a6748c3, 0x8373659c, 0x16d8a132, 0x27ab61d3, 0x75b7b919, 0xedfeb502, 0x3f8397fc,
+    0xead73446, 0xac29b04c, 0xf54337f8, 0x87e59e85, 0x82f752a5, 0x678b0be1, 0x804fd035, 0x5d622617,
+    0x04f9dc77, 0x602f4307, 0xc0677b64, 0x00fbca6e, 0x60ec4442, 0x5f0413a0, 0x11f2acf2, 0x399e01b2,
+    0x31afc243, 0x2e1f4351, 0xda7f929b, 0x7c59749f, 0x6cb89af9, 0x470395fd, 0x38693285, 0xaf397ee4,
+    0x0db380dd, 0xdd50cd09, 0x4f14db5c, 0xa6f7f9ec, 0xa2f33697, 0x51c740b6, 0xbd1fcfc9, 0x4e3ed8c4,
+    0xcf40f513, 0xf9071c24, 0xd81a07c4, 0x9b0639c0, 0xb92bc989, 0x089a17ab, 0xdbf1e358, 0x453d90a4,
+    0x80ad8493, 0x8a1f3ab1, 0x669203b9, 0x480a4e5a, 0x62dcba1d, 0xe63ca353, 0xc794fea4, 0x76c6be23,
+    0x3d6977b8, 0x63521f89, 0x872b0da4, 0x71627a12, 0xc0418bce, 0x63efd2e7, 0x4c492a6d, 0x449c1229,
+    0x1376dd96, 0xce1bbfea, 0x6c24cd01, 0xc08cd141, 0xfc35ab8a, 0x27ad12a8, 0x41e38ca1, 0xf7501ac9,
+    0xaff86d42, 0x3cc788ff, 0x87458cdd, 0x9f2411da, 0x13f982fd, 0xa5fd3fdd, 0x3d113d94, 0x61053820,
+    0x433ee8b1, 0x5c6ac402, 0xa669add3, 0x4ebb2a7a, 0x9d9adb09, 0xa3545fbe, 0xb502a378, 0x5c552d6c,
+    0xe6a20f73, 0xc92ced65, 0xdc38c732, 0x1897ca48, 0x2f516d54, 0xe12cfbb2, 0x217f5b5d, 0xfca847a2,
+    0x23417939, 0x1ada9b41, 0x9b458bfb, 0xcb743787, 0xa47d8081, 0xa73c353b, 0x3b9c460b, 0xa2538c0c,
+    0xff8b10ef, 0x58127289, 0x3d241730, 0x833364f7, 0x1e805143, 0x29176e8d, 0x952867aa, 0x4b1620bb,
+    0x14b077c0, 0x9410ac8f, 0x29b50abf, 0xc1577bf5, 0x20ea024f, 0xcfbb064d, 0x022cea3b, 0x74f021e3,
+    0x17a82bab, 0xbc191895, 0x67ed59cc, 0x352d6228, 0x86da4573, 0x562b9d38, 0x5d8bdb03, 0xd7a6d245,
+    0xa7636daf, 0xa7006c5d, 0xcb70ee07, 0xdf1d887e, 0xf5525060, 0x93b65f22, 0x83dd5c79, 0xf30a14fe,
+    0x6e23b44a, 0xaf978681, 0x18e0ea27, 0x6a3878b7, 0x0c17433a, 0xaf677808, 0x2022bdc0, 0x9e9272f2,
+    0xdba75434, 0x7e7041db, 0x42d594cf, 0xe5a762e5, 0xdebfa340, 0x73811267, 0x47f14d5c, 0x9c40b040,
+    0xffd0b545, 0xc2eb6d5e, 0x007ce5ed, 0xaa6c5f4a, 0xf8d24645, 0x8ff482c5, 0x94c1a02a, 0xb521a616,
+    0x845737cd, 0xc2a274e2, 0xd00cfb64, 0x3cd05434, 0xae671ad7, 0x1662a639, 0xf3f8e41f, 0x95c7b176,
+    0xf2821941, 0x52ce66a3, 0x95a7c399, 0xf421c120, 0xf5c38375, 0xb06cd257, 0x5d3e7665, 0xc17d009c,
+    0xddc1a30c, 0x1e2654a4, 0x30a7d8e5, 0x534ba44b, 0x29115d26, 0xe30a204a, 0xe59048c1, 0xd06f3721,
+    0x00000000,
+    0xae0c5c1c, 0xaf021622, 0x87a62f99, 0x9537f7d1, 0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25,
+    0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000021872507247830119243725\
+                          02227117621365353169430893212436425770606409952999199375923223513177023053824 */
+  { 0x00000000,
+    0x667f618d, 0x491498ac, 0x7385a6eb, 0xa8fdd96a, 0x8ed63d60, 0x97b7b0e2, 0x9885a1af, 0x9a791a7b,
+    0xcdcc83ee, 0x7ad283f8, 0xcfc7bd81, 0xfe5dbe22, 0xacc6d4c0, 0xe5599ec9, 0x2aa02562, 0x87ac24d3,
+    0x76ee2586, 0xa2ee16ec, 0xb176fc92, 0x176527c8, 0xc0d07b2f, 0x24bb92d3, 0x86c04ad9, 0xf9bc598a,
+    0x3cca6147, 0x3ec83770, 0x00584048, 0x3a34c1fa, 0x246bff2f, 0xf1a39731, 0xade52d47, 0x7ca96046,
+    0xe01b3543, 0x51d637a7, 0x8be43dfc, 0xc1a88b56, 0xcf2bcf26, 0x220333c5, 0x599aa3a4, 0x3488d2cb,
+    0x900516ea, 0x3ce0af8d, 0x732f7974, 0x0945600f, 0xf80eeec7, 0xb1dfe06b, 0xbbb9e2d5, 0x05a6a0ab,
+    0x06e502c1, 0xf13f2dfd, 0xc0d15d9f, 0xba6909a5, 0x3f591339, 0xa04c67b6, 0xc937ce35, 0xf8108c4a,
+    0x00b1583e, 0xfc174e51, 0xf665db00, 0x02d0bb82, 0xf5692ecf, 0xa53c5498, 0x8cc70b74, 0x897910d9,
+    0x593c72e9, 0x9eab36e1, 0x64714045, 0x29d1e588, 0x80a3cdb4, 0x239d0eea, 0x080a6567, 0x56c6a47f,
+    0x163ff1d9, 0x4dfa0dbc, 0xc011b805, 0x96a28ba0, 0x9602a8b5, 0x62ef4175, 0x0143d151, 0xb841c17c,
+    0x459de35a, 0xae3fde09, 0x6bdcaf2c, 0xfd3dda09, 0x2d949006, 0xfa3586c0, 0x76ab635f, 0xded388d0,
+    0x8ba907cb, 0x442f2546, 0xcad89278, 0x7a09029b, 0x2b16a187, 0x541448c5, 0x1fa05e7b, 0x6761028c,
+    0x1e2b8992, 0x88e86d1d, 0xa24a3143, 0xc5172e7e, 0xcb9f1fed, 0x166d1291, 0x47c0f33c, 0x544048f9,
+    0xb9e32995, 0xfd93b46d, 0x8e49d9f5, 0x07571ce1, 0x01204e72, 0xc9ace0d2, 0xd1e2c9c7, 0xfeed312d,
+    0xe9c0252f, 0x4266925f, 0x249f18f3, 0x58b86411, 0xfb3c8658, 0x596613ac, 0xfa41799d, 0xd099d9c9,
+    0xd3aaf589, 0x30f31db0, 0x1bab23cd, 0x976e680d, 0x660aab01, 0x806ad6ea, 0xbac23467, 0x23d5e26d,
+    0x164171fd, 0x467ef83a, 0x1c92aac5, 0xfc294ef6, 0xc7cdf6b3, 0xd557dd6a, 0x10abb48b, 0x9490660a,
+    0x055768b3, 0x8c217f51, 0x145b3195, 0x610ccbff, 0xcb8b78f2, 0xf64aab0a, 0x25afc239, 0x1b6eca47,
+    0xab64e978, 0xeaa2a08c, 0x93fd4cad, 0xdf4f2237, 0x6080a550, 0x85752de1, 0x2ed04937, 0x47d2d2e4,
+    0xc0d617a7, 0x4cde3420, 0xb92bfff4, 0xfad744b3, 0xf1def380, 0x5293a6b6, 0x9f6a17e7, 0x795391d5,
+    0xaf4276ee, 0x49f46ba9, 0x3af6495a, 0x7ab6d2c7, 0xce6e4579, 0xdd196960, 0x5f289d56, 0x0921cd8b,
+    0xf7687f99, 0x22574e74, 0xb3db4208, 0x1a6e565c, 0x0a8d624b, 0x2517ae8c, 0x3325acd7, 0xf758da46,
+    0x28a0ff38, 0x13629280, 0xbcb97495, 0x5d558777, 0xf4a5cf81, 0x73e76bd1, 0x2a4af5d3, 0xa5b00e2a,
+    0xcda722d4, 0x586cd906, 0x9b92c097, 0x2da02cfe, 0xb18b3972, 0xa445d8b5, 0x6c84af82, 0x3e6fa015,
+    0x0e6f0ba6, 0xc78060de, 0x520f962e, 0x64de119d, 0xeac6f19e, 0xb49a1462, 0xc38e61a6, 0x8b8a7c71,
+    0xe53ff03e, 0xebf89fd2, 0xabfd200e, 0xcb001760, 0xe3b0e1b3, 0x0a74aff6, 0x4d78ef34, 0x3526f76b,
+    0x6ce259d6, 0x1041cfb3, 0xda9e097c, 0x22ad113f, 0x315e4cc8, 0x7fe1e75b, 0x4ae8ad43, 0x0604d576,
+    0x9af26128, 0x5b72f1be, 0x2fbd6075, 0xd76fe1a6, 0x5129d8bb, 0x6ef0b88b, 0x57b8a182, 0xa4055f4f,
+    0x239c65b8, 0xe48248a1, 0x90bb2d5b, 0x14a7b07f, 0x183eb6ab, 0xdd4e8588, 0xcd7acf41, 0x505059ee,
+    0x7eb72c1a, 0xca01e83d, 0x71efc289, 0xed674e88, 0xf4d5d3ba, 0xfcb43473, 0x8e3b4dae, 0xf07ef016,
+    0xb6c0f188, 0x9ea82a29, 0xdbaa3d18, 0x4768d438, 0x838e8304, 0x87dba389, 0x50349ed0, 0xe0fc6db0,
+    0xde427467, 0x282f3036, 0xeb0919cc, 0xd55b74e2, 0x25bc0bb8, 0x33ecb35f, 0x716a837c, 0xf2e36630,
+    0xa523d940, 0x14427a2c, 0x8d3deed6, 0xeff07d3d, 0x9b6f69dd, 0x119f5430, 0x5fc91854, 0x0f5f4865,
+    0x555d41ad, 0x8f7490c0, 0x585e49a2, 0x7353fd6f, 0xea477f08, 0xcc6f1255, 0x8b768a44, 0x1e8b2dfe,
+    0x002babb8, 0xc6ccfc5d, 0x18d6caea, 0xbce66c29, 0x99793cc7, 0x1762cb39, 0x331c7aa6, 0x0cdddf5d,
+    0x2de661c0, 0x31382219, 0x9af31349, 0x15f4f483, 0x1e7eacca, 0xb65700b4, 0x00ea597a, 0xab068858,
+    0x0ae3b2dd, 0xbbcc4e41, 0xc56eab65, 0xe59ddb2b, 0xdd7f572e, 0x20fa5952, 0x72779ad1, 0x587a1b09,
+    0x34565e76, 0x98b293ad, 0x2fa333c1, 0x78c6ac32, 0x96015cf3, 0xc54cec2c, 0x7d155e68, 0xec0c9cb8,
+    0x23b9bb66, 0x8acf11ea, 0x7accf934, 0x3b029d4f, 0xe4a7ef4b, 0xb91325b6, 0x53c03669, 0xa1ded4d3,
+    0xbdcb3ca0, 0xd567b0b4, 0x62ea35c8, 0xc46a2ba6, 0xe58e3a83, 0x9e543387, 0x6c4782a0, 0x07ab4fa1,
+    0x9ef8015b, 0x9ac6dd4c, 0x9bffe8b2, 0x3024cf03, 0x85f2e366, 0xbd3136d0, 0x3f536dad, 0x446414ba,
+    0xf7780e14, 0xdfba831a, 0x1736e49a, 0x9ef11282, 0xde789354, 0xe6b71f4b, 0x21bd1e5b, 0xf76a8ebb,
+    0x29109b9d, 0x5e300c39, 0x5af2c747, 0x9b51a652, 0x1ea155f4, 0xda25a586, 0x8591cb2f, 0x1d5e84a3,
+    0x17dd290b, 0x7454df1c, 0x406d62fc, 0xdd3fb7ff, 0xe4374093, 0x346cbdb2, 0x7ab5fff1, 0xa5e0fdd2,
+    0x4d2ba701, 0x076116ea, 0x5e4484ed, 0x03af2338, 0xe3637e05, 0xaa3c966a, 0xf2ef2fcc, 0xaafa25bd,
+    0x089632ec, 0xf25b7323, 0x93c2279a, 0x1444a66f, 0xf48f279e, 0x32a57d56, 0xd94aa773, 0xb9cc6f4d,
+    0x3a331d3a, 0xfc3500e7, 0x9835b8aa, 0x42b5b084, 0xd3317c93, 0xfebecd76, 0x42b4ad09, 0x40d192ae,
+    0xac1fde85, 0x9cdda113, 0x59c85c33, 0x7fbeaf22, 0xbaffca36, 0xe879733d, 0x69740bd6, 0x0a64a96d,
+    0x16d0a06b, 0xd1b4cb57, 0x058a2595, 0x9c8d8aca, 0x0100c7e3, 0x8049e44f, 0xd208fe76, 0x2af106c4,
+    0x6c22f833, 0x1cf8ecee, 0x5fad8793, 0x82f5f9e7, 0x35b7054a, 0xc0d91ed3, 0x5d37867e, 0x50e9b1f3,
+    0x4234d260, 0x186cf16f, 0x210effc5, 0xa6b3ce1d, 0x4cf24b56, 0xca9f61cf, 0x86a41952, 0xe4e8a145,
+    0x49e44ed4, 0xddeff61d, 0xde05ccf7, 0xe83bb419, 0x8a3dca68, 0x926f10ea, 0xea547a27, 0x52f03fd7,
+    0xb3deac94, 0x1ce78891, 0xc1dee976, 0x1491258f, 0x18da0f5d, 0xb9a5809b, 0x690e5610, 0x7e408383,
+    0x06cd7472, 0xea0be654, 0xf58bd98e, 0xb2c2edbc, 0xccf3c404, 0x73eddbe5, 0x2f50baf0, 0xf5c3fa64,
+    0x9935f749, 0x51fe36a9, 0xe23eccf2, 0xeaf4a872, 0xaf0797d3, 0x91de7d1b, 0x0a294d90, 0xe6aa97bf,
+    0x31ec68b8, 0x2f114e8a, 0xf6fe6b23, 0xa0c9ce61, 0x40a9c90d, 0x65472314, 0x28028a0c, 0x6e6d51a1,
+    0x93b43e7f, 0xab76c172, 0xadf00ed6, 0x2919ac8b, 0x443cb0f3, 0x0b571c1e, 0x33d63c62, 0x7e9948bd,
+    0x73a72358, 0xf4416a01, 0xc7dd4106, 0x8265d916, 0xb6c7468d, 0x6a26af94, 0xbf414b5f, 0xe18c1c59,
+    0xe2a3460c, 0x0f5881ad, 0x0d91b676, 0x953fb0d7, 0xdd7401c7, 0x80fcfe38, 0x115cfb3a, 0x6b8c284c,
+    0xafd406e1, 0x46d56376, 0xd99b2726, 0x512a1899, 0x8be96f7a, 0xb680604a, 0x9e44f8f5, 0xf7ab3e61,
+    0x398d21f7, 0x983917a8, 0x9430ade4, 0x0e52ce64, 0x27a0c452, 0x5d3ea866, 0xcc754eb9, 0xfe4282f5,
+    0x5a1b7451, 0xbf076447, 0x9a8526a7, 0xb647c991, 0xee10d6c5, 0x31fa6fb4, 0x87a3750f, 0x070c5555,
+    0xac1f5916, 0x2da2774a, 0x9ddf061c, 0xda29f5ea, 0xce3f3b3d, 0xfc5b6f00, 0x0d029562, 0x2bdfa388,
+    0x0c7aa07c, 0x1aa9bf84, 0xdbb9fcd6, 0x153a4ead, 0x5d7465ab, 0xf064fd90, 0x0ba07775, 0x5e47e4d9,
+    0x4700d0b0, 0xf8dcb050, 0xb906ffbc, 0x66ec26d9, 0xc28c65e3, 0x2cbcb710, 0xadc01a05, 0xa6975d80,
+    0x473efe09, 0x161809e0, 0xa295c21c, 0x54638a10, 0x4ec5d0cd, 0x55d41f95, 0xe1f4ab9c, 0x7c01ea00,
+    0x386a35b6, 0xa78bec19, 0x0784693b, 0x2e16f36a, 0x77ea64b9, 0x5416138e, 0x47238fb9, 0xea159fa0,
+    0x3b3e0d41, 0xa4e597f7, 0x8bf09ea6, 0xcf242aa2, 0xa67c89fb, 0x44f060ca, 0x4776d297, 0xae3740fe,
+    0x5b1983cf, 0x4ae271c3, 0x1679de22, 0xf239be87, 0x9f0beca1, 0x5d3a6ede, 0x665d6969, 0x476f7d86,
+    0x9b750b74, 0x84241139, 0xd478105d, 0x6e398c61, 0x0eb8fe8e, 0x295af899, 0xbca9d58e, 0x067383e4,
+    0xb7222cae, 0xaa9acdc3, 0x5ed791f1, 0xf735f682, 0x35e800a5, 0x91795111, 0xb9b46795, 0x679eeae5,
+    0xeb93aeb4, 0x3082fa81, 0x4f940d64, 0x6bf80af0, 0x745f2805, 0x9e70c793, 0x101730f1, 0x266a9aa6,
+    0x6825a610, 0x8dfb3815, 0xc4c7fc6e, 0x161cfae1, 0x9df4984c, 0xe8159c88, 0x1a26b282, 0x336f8475,
+    0x051ff657, 0xcf60bfb6, 0xf2f456a5, 0x374a224a, 0x25b8ad94, 0x51629731, 0xcbd0f229, 0x5ff7e81f,
+    0x205d4c57, 0xac018ec2, 0x330c1210, 0x5561d151, 0xdcd1d7d6, 0x5adb0e55, 0x71cdcd3d, 0x6e48b1ef,
+    0xb12a88b8, 0x9369970a, 0x1d09a1c5, 0x33e3857b, 0x35ef6d87, 0xbf2f8491, 0x28e820c2, 0x174ea5b6,
+    0x82d0cca1, 0x106ac8da, 0x9750ebd4, 0x17559cd7, 0x068c2abd, 0x18481a66, 0xdafdf949, 0xc763312d,
+    0x6a28ae7f, 0x8d83d98f, 0xbdea6571, 0x715fa5e1, 0x6ff38844, 0xca141695, 0x5025afc4, 0x8fb1978d,
+    0x37da8377, 0xe430157b, 0xfb6e6e56, 0x33434e42, 0x38a58ec9, 0xa6ed5722, 0x8d36c842, 0x36404bda,
+    0x090d5bd0, 0x73e74e57, 0x6e073d8d, 0x3a88f4dd, 0x886ba763, 0x96ce85e4, 0x2a1f0111, 0x7053300a,
+    0xb72967a7, 0x7c6d7638, 0x9dcd22f4, 0xc465ee8d, 0x5de81cfe, 0x1995ce82, 0xbfceb329, 0xb041dac6,
+    0xfc6bdcbe, 0xeabce5ee, 0x2f1f59fc, 0x9fdd2db3, 0x4daa6a7e, 0x698511b8, 0x24a985fd, 0x321eb4fc,
+    0x3b388d44, 0xc1e988fd, 0xab4f1cee, 0xb76422a5, 0xc455ffd5, 0x33a52dee, 0xa6983db9, 0x0a6ed3c4,
+    0x2969bf5e, 0xbbecb69e, 0x2fb5afd7, 0x00eb0664, 0x14c2b190, 0xed545c19, 0xfb0f14a8, 0x83803adb,
+    0x13bd9c8e, 0x6a4a2f44, 0x1fc8f0d0, 0x87268a6f, 0xbafb85f0, 0xdd2351be, 0xfbe0d6c7, 0xcec1ad4f,
+    0x763a9581, 0xb2ffba23, 0x842fee64, 0x417863e4, 0x7540bcc1, 0x6cc0ee21, 0xd667abcc, 0x97df21c4,
+    0xf4c0d589, 0x9fe31e03, 0xcdee81c7, 0x39ce8049, 0x371beecd, 0xed8f1dc4, 0xacf03389, 0x648d2a19,
+    0x5843f86b, 0xa0ebf398, 0xbcada241, 0x4cb2c56a, 0xb030411c, 0x9ef43a84, 0x8caff2dc, 0x0b5cca69,
+    0x8fd6b099, 0x3d036424, 0x5d5010dc, 0xfd30d5ec, 0xb6d67170, 0x298c44bf, 0xa05790b4, 0x491ca144,
+    0xda611dcb, 0x086bbadc, 0x457c5aad, 0x80c0a38d, 0xdea8747e, 0xd0b0ac1e, 0xd357460c, 0x0e622f47,
+    0x03a08def, 0x1d98e0bb, 0xf0c18a23, 0xec975ed1, 0xc7a5c8ab, 0x20760aa0, 0x20868247, 0xbb6a19b5,
+    0xe93d98ed, 0x1b939dcf, 0xe421127e, 0xdc4c5c2f, 0xb007f0fc, 0x81def867, 0xe469e774, 0x26082fa4,
+    0xdb6f5320, 0x879097f7, 0xbed3953b, 0xdc9a5420, 0x6ca85bf6, 0x28576d2e, 0xe665e446, 0x3c227e27,
+    0x4afaef8b, 0xc35f1b9f, 0xff0ec7f5, 0x57d73115, 0x1de14128, 0xea08e5f1, 0xbbbdd762, 0xbed2aa17,
+    0xc6b3f5f1, 0x5a3e2a6d, 0xf6876598, 0xdef967a2, 0x173e5f6c, 0x927930dd, 0x2311a018, 0xe638e159,
+    0xe11acb27, 0xc6c6f677, 0x25d1ee8c, 0xdbfce874, 0xc2269744, 0x8cba1111, 0x3b7ae403, 0xd21677e8,
+    0x2898be86, 0xdad8994b, 0x9e28e8ce, 0xb00d8d52, 0x2f36f4e6, 0x4ffde9e6, 0xa4dd35da, 0xf8969254,
+    0x9bc6b4a6, 0xd3b5b4a8, 0xb7c71ac5, 0x9941643d, 0xb216c005, 0x500d94f0, 0xf1a51bd6, 0xa6e4c6c9,
+    0x70ff176c, 0x250a8dba, 0x08c57ad7, 0x0912d1d8, 0xb642a223, 0xfee262e2, 0x6ecf9704, 0x27d7d813,
+    0x4d2b2853, 0x3e254e0d, 0xb46eee1a, 0x9e058e12, 0xc301278e, 0xb99ca264, 0x1a982a59, 0x281f08d6,
+    0xc214d1b7, 0xa829e458, 0x407d8964, 0x5165ad05, 0x26c819a6, 0x0c456ff3, 0x04baa798, 0xfbe10a20,
+    0x51a20522, 0x93196e3c, 0x076e5c09, 0xfe931a27, 0x42dfde86, 0xb4fc7c5a, 0x67076653, 0xb6fb04b2,
+    0x0756777a, 0x67994ac4, 0x646a610a, 0x7ef5c54e, 0xee53438e, 0x6b9e0609, 0xdc130231, 0xba689457,
+    0xb2632b3b, 0x10061f9a, 0x3cdebc66, 0xb931a97e, 0x093bd384, 0x5b582afb, 0xb15c2b72, 0x4ac9adef,
+    0x9b256049, 0x6e56de60, 0x74185bd3, 0x9d6b3738, 0xdad9f61a, 0x604bd994, 0xc42819dc, 0xd4a8ab1c,
+    0xc2e656b8, 0xd2a11f1d, 0x5d5d6a7e, 0x7984d47b, 0x8e14924b, 0xbc72dde3, 0xce61a8ab, 0x407e8d7b,
+    0x42ac4bcc, 0xd2ccbad8, 0xef5bde7b, 0x8bdae577, 0xdae96a70, 0xaf9f3e51, 0x0bb3237a, 0x9cc3a0b2,
+    0x08b15b47, 0x73cbca6d, 0xb7116a73, 0xa2cab1cc, 0x4a55bc5d, 0xff788eb6, 0x610fa8fa, 0x5a2a610b,
+    0x6b3f63e2, 0xe4b354ad, 0xaf1ff1ff, 0x5fb3e1e4, 0xfb85cbc5, 0x002568ea, 0x18e2191a, 0xadab2f0d,
+    0xa205d6fa, 0x50105d00, 0x636d04e3, 0x60ae7b0f, 0x307d4f93, 0x30cb1e12, 0x0e6eaa0c, 0xb91df61c,
+    0xab1f0eb8, 0x46d2bbcb, 0xf24538ce, 0xf899fc55, 0x9098e9fe, 0x569fe1e9, 0x486ad69c, 0x1e267ac2,
+    0xfd260ba5, 0x24842d97, 0x7f3ce6a0, 0xc4ea5692, 0x7dd25b5b, 0x8ccdfbd1, 0x25365cd6, 0x6a873681,
+    0x4aa637cd, 0xd895ee34, 0x2f68c947, 0x4724a253, 0x7e059f43, 0x40e570b2, 0x78437051, 0x982da744,
+    0xd178c20b, 0x3eebfa7d, 0x750385fc, 0xd6e11506, 0x786cf3cd, 0x1b2df665, 0x07cd19d1, 0xb0729094,
+    0xad2af991, 0xcbb5a766, 0xee448521, 0x3b8dc9cd, 0x73bd1354, 0x16a9c3da, 0x5c9fbef5, 0x75d24ab4,
+    0x542bfd57, 0xe63ca281, 0x45260176, 0x47f1b443, 0xad37db33, 0x09559a66, 0x87de7439, 0x2d14b385,
+    0xca11ce83, 0xa5a443b8, 0x190b771b, 0xa14c8568, 0x543a913a, 0xd239296e, 0x82a09aad, 0x802be3fd,
+    0x1cc0d1fd, 0x45ef3784, 0x4a701adb, 0x2cf201b1, 0xc0c2ce31, 0xf08559ea, 0x8f25124b, 0xd1a0c939,
+    0xa91e62a4, 0x5772018e, 0x6e5bb17a, 0x0870ca1f, 0x8607c06c, 0x23cc5f44, 0xa97ffc81, 0xd9b94273,
+    0xfcc1ff42, 0xff77f65c, 0x0cb42203, 0xac4afcc9, 0x82ca73b2, 0x2957217e, 0x0934b623, 0xb6cab1a7,
+    0x1040cd20, 0x6a353be3, 0x8862d4bb, 0xe18adb6b, 0xf0164b0a, 0x7ee923c8, 0xc94fd0d3, 0xbcf7d7b0,
+    0x7899c431, 0x6faab941, 0x63f85fde, 0x27c67fd7, 0xda5277b4, 0x1744b0c9, 0x9fe92b99, 0x47a011e2,
+    0x298f3627, 0xe45ff780, 0xed5d33a2, 0x8787317f, 0x10961fe9, 0xa1101c17, 0x8bbd8246, 0x54c5cff6,
+    0x15434cd5, 0x688610f3, 0xe3ad5c20, 0xf4b8ba9a, 0x2b05c0bc, 0x0da572a1, 0x012d1ec6, 0x9f3ec75b,
+    0x78602bd4, 0x3e35358a, 0xd1c17604, 0xe5c8641c, 0x393f9a77, 0x23d702b8, 0x96882c2e, 0xd2818b61,
+    0xed4ce3c7, 0xe7c4cd33, 0x742c1139, 0x05eb75c4, 0x088a3b8a, 0xf4ae2b11, 0x813a4d73, 0xe6ff02d7,
+    0x00000000,
+    0x57062e0d, 0xd7810b11, 0xc3d317cc, 0x4a9bfbe8, 0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592,
+    0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000010936253623915059621862\
+                          51113558810682676584715446606218212885303204976499599687961611756588511526912 */
+  { 0x00000000,
+    0xb7f093ea, 0x8a0f4e42, 0x03af68f2, 0x5e0226e5, 0xf9edda10, 0xc55e1aa9, 0xc4b58ea3, 0x9b966d4d,
+    0x2cc5235c, 0x93731600, 0x63982c60, 0x243def0a, 0x004df97a, 0x3aef7d38, 0xbb33fe90, 0x333d5552,
+    0xb505b8c1, 0x3d654618, 0x86e782b8, 0xc169a6cc, 0xa51656e4, 0xf5557798, 0x26f8e228, 0x693c7398,
+    0x6719e828, 0x0701a5f8, 0xee2cfbfa, 0xb4dd66f0, 0xa1eceb2a, 0x434e490f, 0xaa3cd21a, 0x5805e67a,
+    0x886cfa3d, 0x2f6f3aae, 0x5f1f960f, 0xc6bc6511, 0x2bdf487e, 0x93837a92, 0xccca5d35, 0xb2f35c2d,
+    0x4b2a190e, 0x81e6811d, 0x5d8de26d, 0x39cce2d0, 0x57e05b60, 0x408df444, 0xa2737420, 0x55da636a,
+    0xa2ddfc7d, 0xca283043, 0x201f25e2, 0xec9e3334, 0xee16efae, 0x4f8b8dc1, 0x78e197f8, 0x235b6f2a,
+    0xa4b3747f, 0x48d5d87c, 0x2c41f1fa, 0x9c92c725, 0x37e3bb11, 0xb321d355, 0x750aa48b, 0xca38f254,
+    0x241d8c31, 0x56ae845f, 0x8ec23d39, 0x47fd0282, 0x46c0ea38, 0x764b07eb, 0xa74548aa, 0xc222d313,
+    0xab8524a3, 0x6ab781bc, 0x310729ec, 0xebec504c, 0xcd6f7602, 0xd98074cd, 0x9f998f19, 0x612454d7,
+    0xe0de7ca7, 0xaf4532c1, 0xeeedc6c2, 0x0e5768f7, 0x43421973, 0x93864b18, 0x094c7490, 0x4046eda3,
+    0x2fe435b5, 0x08a76764, 0x1481b1f8, 0x996d7e62, 0xa96cb6e8, 0xf8a6fe21, 0xfee679af, 0x6140baf1,
+    0xc2f20a53, 0x9c212194, 0xdd5000d4, 0x6413760b, 0x27aa4fe5, 0xe63220b8, 0x891cab3a, 0x20207ec4,
+    0x2323d397, 0x7e291320, 0x53902cb5, 0xbe854722, 0x3ec805a3, 0x55700dc8, 0x8d346212, 0xd29a81af,
+    0xda255e41, 0xf7c5e8b2, 0x24e1fdef, 0xd71e01ee, 0x03fb1030, 0x16b98a97, 0x71ab834f, 0x7fde2018,
+    0xa4d6a831, 0x83a82615, 0x1b3b1dba, 0xedf95527, 0xf0b4dd5f, 0x1f62d472, 0x81e27a74, 0xfcd4f4bb,
+    0x29ad0a1d, 0xf6e6c0a3, 0xd67b5c0a, 0x56a77aa8, 0x8cfcfd25, 0x4b265ccd, 0x27a724f5, 0x3463ab03,
+    0xe89f05ec, 0xbaad40f8, 0xe8182281, 0x0bd378a9, 0x879310a3, 0x1f70ee1c, 0x02174ba1, 0x33b31f0d,
+    0x71332c8d, 0xd867d587, 0x09fc3632, 0x3ae86c22, 0x0b6f04dc, 0x26017ef0, 0x9aa112c9, 0x2e22dccc,
+    0x8f8c1d6a, 0x11baf686, 0x68b8cb59, 0xa443732e, 0x52c055dd, 0x2706af0d, 0x6d2fa0ff, 0x94a53355,
+    0xfaa50a03, 0xca46862d, 0xb53a5a29, 0x96e86ffa, 0x4b40cbc0, 0xc9ce3d88, 0x95dc11b6, 0xde06bbbb,
+    0x9eb63564, 0xa6cfa6e1, 0x654658db, 0xd3ad4f76, 0xf906d6e5, 0xa50144ce, 0xb27b5c79, 0x0da6f57c,
+    0x100f78e9, 0xa195a620, 0xdb2a45c8, 0xea45195f, 0xd33b6acd, 0x253e7366, 0x537c0b8f, 0x1e1ff123,
+    0x19189dce, 0x5694c9e9, 0x03058b73, 0x4edf196e, 0xba4d2d75, 0x71268be5, 0xe9613337, 0x79e282fe,
+    0x3877e1ed, 0x74da4278, 0x0b588c52, 0x6d7d5d34, 0xe4d2b46a, 0x57210561, 0x32da695a, 0x39c8648b,
+    0x587a3bf1, 0xc23695ce, 0x3d7f466a, 0xdd4d52da, 0x0204e9a6, 0xa790b897, 0x929ee8d2, 0xa9c898b3,
+    0x0f4ccb15, 0x3727a8e7, 0x6d20e955, 0xb27e12f2, 0x39a6428e, 0x5e0a1be4, 0x8f62d2d3, 0xac1bb5b9,
+    0xd2f64dd2, 0x4122ed19, 0xe55bebdf, 0x39ceb802, 0x97618efb, 0xca9371ac, 0x29ddf05a, 0xa67611c6,
+    0xcb03a816, 0xb7618916, 0x4fcf02fa, 0xa62abeef, 0x40781cb6, 0x1c4d96f4, 0x7091eb9e, 0xb8d6a371,
+    0xbde114a2, 0x3692f5ac, 0x7eeacc69, 0x4b18b761, 0x4a0e331c, 0xdaf7d62b, 0x88e8066b, 0x0e7b6dd2,
+    0xe840208a, 0xbe6880f6, 0xab5cc385, 0xa3b421cd, 0xf027b1a9, 0x7d0b71c7, 0x4ab674c7, 0x13b6d0ac,
+    0xae3466cc, 0x7dccd4e2, 0xe6700cf6, 0x0c150599, 0x2fb0d9e9, 0xfa599789, 0xd0fab76c, 0xa408befe,
+    0x5639d941, 0xbc1dd0e5, 0xb3d2bd18, 0x983fd009, 0x044d930e, 0x4679f15c, 0x06ee9175, 0xe14dfb89,
+    0x7ba185a3, 0x31197247, 0xc1e5dbbc, 0xe865b2ea, 0x6f387684, 0xf832a24e, 0x0b1313e2, 0xfc7e7d21,
+    0x65aff578, 0x7db1fc99, 0x3267503c, 0x18b52244, 0xb169ec64, 0x98961314, 0xb74f8485, 0x0d1d9ee3,
+    0x217a50e1, 0x9a826d1d, 0x3074d032, 0x51412a29, 0x85a7f387, 0xbe21e041, 0xdc8a3be9, 0xc5b7f322,
+    0x6f291e9f, 0xb51bd177, 0xeb827fcb, 0xaed9090a, 0x60fcff4e, 0xcd309235, 0x2ae2b0e0, 0x6fcf9a22,
+    0x801186df, 0x5d540f2f, 0xbb35a94a, 0xaeb004c6, 0x17ad03a0, 0xe567b8eb, 0xb6fc7859, 0xad46e1c3,
+    0xa2113523, 0xabffc7c0, 0x7e233d5e, 0xa88f1dd1, 0x9f65ae8a, 0xbbab6a81, 0xb19ccaff, 0xd44a12eb,
+    0x9a1c86c0, 0x135aa3a4, 0x8ccdce2b, 0xdba64df9, 0xb744f6eb, 0x8e32d164, 0x2fb0e7e4, 0x14ac2f53,
+    0xbcd64522, 0x3e99453d, 0x581943d5, 0x4e69e4f8, 0x0bd580e0, 0xcd22c70d, 0x92da6b3b, 0x31c9e566,
+    0xc610d7f3, 0x41e905c5, 0x6d9fe7e4, 0x80afa8c4, 0x36adea39, 0xb5ba5139, 0x962e86ed, 0xc2281b3c,
+    0x105361fe, 0x90e34346, 0xcf779386, 0x1c4d9afd, 0x1552e3cc, 0xaf1b4ada, 0x39693412, 0x29a37391,
+    0xc7dd6961, 0x424f4b05, 0x6dbcdd44, 0x0960eb0a, 0x6ab2a81e, 0xbe926f06, 0xf7dc8c8e, 0x16441c0a,
+    0x41595af2, 0xaaa301fe, 0xa709c899, 0x145b4a51, 0x6d2b5be7, 0xa16beef3, 0xb643e007, 0xc7003331,
+    0xb12d2493, 0xf339ca33, 0x3c2b28f2, 0xd20a068e, 0x3d052b17, 0xaf882ae7, 0x92089680, 0xcc0ffe3b,
+    0x6e420319, 0x6c2313ef, 0x36e58d6b, 0x303763c7, 0x75af042f, 0x348e16c1, 0x4f88e6c1, 0x616c3b2e,
+    0x9136ed07, 0x63f4d9fc, 0x390cc65f, 0xad63f313, 0x5906dcb6, 0x68571209, 0xb2c05f0b, 0x142acb6a,
+    0x202d4856, 0x58d70b79, 0x93038bad, 0x1d915194, 0x1c1ac09b, 0xfd7c348b, 0x4afa6dcb, 0x1b7b3f77,
+    0xfd17977d, 0x190a5687, 0x15cf66a8, 0xf8b9ce48, 0xf3ceb8a7, 0x9e16a38c, 0x308dffa2, 0x08034bab,
+    0x29412b61, 0x101dabb7, 0x94294474, 0x55d25da1, 0x4f8378da, 0xfb920de6, 0xe1379a24, 0x2eeaff91,
+    0x76f0c8a6, 0xb2fe5135, 0x3b866fc8, 0xe9cd443c, 0x37241ce6, 0x6ebb1651, 0x11693dc7, 0xe708aa88,
+    0xf9adfd07, 0x9691e971, 0xac10cdcb, 0x5484cd8e, 0x47182f76, 0xacef29d5, 0xbd07959d, 0x5b906f4e,
+    0x7f794ac9, 0x3c4ad30c, 0x6de39132, 0x7dde24e3, 0x1bcde9ed, 0x0f4ea31b, 0x84634128, 0xdf6f366b,
+    0x7087c39a, 0xa355c1a4, 0x9580e768, 0xc63d1ff2, 0x05735c43, 0xf4111eff, 0x198ea910, 0x91b4ba7a,
+    0x714acd7f, 0x902c3021, 0xd04f885b, 0x35172b56, 0x24bc1ef4, 0x4537fbeb, 0xb1afcbec, 0x8c5261e8,
+    0xb5fcac15, 0xc84cb8c9, 0x80d3b08f, 0xa9ba469b, 0x46a20629, 0xb88dd607, 0x7c8408ff, 0x208eca3b,
+    0xed41b340, 0x9f803b85, 0x90d80820, 0xdcbdd986, 0xc522a0c1, 0xa7b9e517, 0x02df7560, 0x847812e9,
+    0xbb7a6ee5, 0x6d54d0ba, 0xf266f84c, 0xd1368b41, 0x583cac04, 0x912931eb, 0x08327681, 0x59c5cec7,
+    0x4da4d2e4, 0xd6215238, 0x2d0cd890, 0xe22e06bf, 0xc16f4fdd, 0x36eae241, 0x24747c88, 0xbb673ad6,
+    0x4278937a, 0x91a830a5, 0x7b6f03e3, 0xca274526, 0x8710dd8a, 0x5cb1cedc, 0x46447a3e, 0x29fca4cf,
+    0x1c61cfb6, 0x37f32ee1, 0xcadba0a0, 0xf79c9a1b, 0xe41919f0, 0xdc624f6c, 0xc201a3ce, 0x3162b3f4,
+    0xcbfdcf38, 0x9c26ce9a, 0x4782bbaf, 0x78da436e, 0xcb33e9d7, 0x47577e07, 0xc52052c7, 0x9a044fac,
+    0x8f7134ae, 0x0ae9d631, 0xcac25078, 0x51ddd170, 0xb816b5ec, 0x8cb4630f, 0xba8256ea, 0x21a59ed6,
+    0x9643241d, 0xad187486, 0xaa348a97, 0x426d781f, 0x41f36f6f, 0x0ad703b1, 0xf1c6b0d8, 0x01d15659,
+    0x7813011d, 0x90e4605e, 0x13b1e734, 0x41c5ecfe, 0xf1f5cfc0, 0x941dd161, 0x34f4d33d, 0xa5e357d9,
+    0xbe1aa50a, 0xc2fbcec8, 0xbfa7b1d8, 0x4af80111, 0x53928376, 0xe884bbf1, 0xb3564f75, 0x2b2fde2a,
+    0xd0b2fc40, 0xe6898cb9, 0xf3512ae0, 0x30adfb3b, 0xc05c1c2d, 0xc004c924, 0xd6735e7d, 0x1342025d,
+    0xcf1bede6, 0x506ac2f7, 0xf3d465c8, 0xbf6f53ff, 0x08cf66ae, 0x6bdfe541, 0xaa0aeacd, 0xbe732d5f,
+    0x9e4f1880, 0x29e6b4ff, 0x941946e9, 0x7b845005, 0x78ef76f1, 0x39939fe7, 0x151606d0, 0xf7946f1e,
+    0x30407dbd, 0xd43ec637, 0x356acf68, 0xe6ef4d32, 0x9091d132, 0x33f63d46, 0xdc8b5f62, 0x805bc23b,
+    0x241b15d9, 0xd7277b01, 0x2355078d, 0x033b924a, 0x425685f6, 0xba724a2f, 0x19594b54, 0xf286808f,
+    0xe8acf9ac, 0x5f89b64a, 0x40516ef8, 0xa719e9d7, 0x6e4cd382, 0x5d6a2061, 0xd0604f89, 0x314bdf99,
+    0x17cdc074, 0x1b68ad24, 0xb68bd11b, 0xfba8a7f1, 0x23c08f8a, 0x17ac2c9f, 0xdc17e3a3, 0xfec569a9,
+    0x36b7c024, 0xa3192f24, 0x54dbef7f, 0xfd624678, 0x5d62355d, 0x04d6d830, 0x73843778, 0xec551d6d,
+    0x37e78c77, 0x21689340, 0x39b2b845, 0xde738bb9, 0x6c6d9fd8, 0xae29f945, 0x34e5cc2d, 0xc09430e4,
+    0x6ca94c26, 0xa7f8aad5, 0x2ad88df2, 0x28cd5bed, 0xa49f7fd4, 0xd2a7e909, 0x03a82e95, 0x907f6b03,
+    0x302d8723, 0xb5faa81e, 0xb1d69030, 0x9a544d81, 0xc8288428, 0x9d9f9033, 0xce3a1450, 0x350c130e,
+    0x7333f4e2, 0x1f0b6231, 0xe18ae964, 0x1bcef748, 0xe51b518a, 0x40e0eff6, 0x09297ce2, 0xe59a7bf1,
+    0x2627e3fa, 0x8ae26859, 0xfd32c0ab, 0xcf30473b, 0x88c830f9, 0x444e676b, 0x65a5d8da, 0x72198507,
+    0xf5e342bc, 0x52aaa1b1, 0x3ccebc45, 0x8263137a, 0x3ff0775c, 0x1b0368bf, 0x87d72af2, 0x8118b490,
+    0xb401da1d, 0x910fbe44, 0xa1f0ef02, 0xf68475c5, 0xfc47a95b, 0xb7994869, 0xdf8c17f0, 0xd5823605,
+    0xf7e4afa7, 0x57b7115b, 0xe45a5942, 0x6bc58661, 0x28ee5397, 0x89856aa8, 0xda4333b7, 0xfca4b15f,
+    0xbbb6e3b0, 0x30438e11, 0x5a9fa33e, 0xc72d97af, 0x270a078c, 0x69778769, 0x8b82026e, 0x726251e1,
+    0x9d10ffa3, 0xd243a320, 0xc1c6e500, 0x054457cc, 0x93669ca7, 0xfd654f71, 0xf4174eff, 0x75b8650e,
+    0x8d388c90, 0x1d1be3ae, 0x9097f781, 0x4a1853b1, 0x52d5dc05, 0x73949f99, 0x2a45061d, 0x30d8ae0c,
+    0x23b8d85f, 0x2da2b6eb, 0x4d1edc81, 0xeeb0e9da, 0xc2776c92, 0x8901f065, 0xb1192fe0, 0x47687ff1,
+    0xa5cf746f, 0x938a53b9, 0x8a437868, 0x97724844, 0x4a6e6aef, 0xbacc6239, 0xcf340270, 0x6eb26262,
+    0x39f130c3, 0x8f997011, 0x93943aa4, 0x161e660d, 0x32da0c75, 0x70f4254e, 0xd1ae146d, 0xcba0a801,
+    0x21016677, 0xe20a3c7c, 0xa11f6f75, 0x8a9e4574, 0xa42e6444, 0xf3e75367, 0x03beee16, 0xff99cbea,
+    0x6cc96e56, 0x7b85c07f, 0x66885a3d, 0x8f3da335, 0x7180d398, 0x2ef38557, 0x627e99f1, 0xb1262682,
+    0xa3a0499c, 0xaeef2cbb, 0x3470d4a9, 0x0ecef463, 0x8814bc97, 0x838656fd, 0xa1167b29, 0x404fe282,
+    0xfbe282b8, 0xd8bda471, 0xe982d237, 0x8dc3ac9b, 0xc45ab66a, 0x89897e43, 0xa732c683, 0x8510bf36,
+    0x202a47d2, 0x2957027b, 0xf4ba8057, 0x0506e7db, 0xf8ad9d14, 0x91e70aa8, 0xcce342ce, 0x9f42921e,
+    0x353484ad, 0x7fe6555b, 0x83255695, 0x9093390d, 0x78ce24e0, 0xaef737f0, 0x2d9ff208, 0x40f9fcb3,
+    0x707f0543, 0xf720cb29, 0x3bdbdb73, 0xcf33ca78, 0x135860c8, 0x4cbfdaad, 0xe3c5b839, 0xacb2fca1,
+    0xb08e2b46, 0xc56a5d28, 0x781c98a7, 0xe4ff1296, 0x5bac57fb, 0x5338c2c6, 0xa6f63d80, 0x76798645,
+    0x48ebe47f, 0xaff952c3, 0xb2372579, 0x94fc143f, 0xf30b0d80, 0x9d720e34, 0xda28ef42, 0x5168bf0f,
+    0x8873a34c, 0xa145aa77, 0x8c9556f1, 0x2441267e, 0xf5a6e5d6, 0x89649af4, 0x9282fe80, 0xe4069cf9,
+    0xc8fd2f54, 0x19eb1916, 0x0659f83f, 0xac353366, 0x71183f36, 0x3d73af77, 0x7bc53431, 0x331746cd,
+    0xe5a29cd7, 0xb905b1ad, 0xdb4ab5ad, 0x52601eea, 0x6d4633b9, 0xa0ac85d0, 0xdf2dda7c, 0x4f679e0a,
+    0x936dab3b, 0x6c7215c6, 0xe97808bc, 0x163a7196, 0xf139cbb8, 0xf8b45c4c, 0x2757b473, 0x558d4bb7,
+    0x4b8e6220, 0x61018ff5, 0x9fcd1d95, 0x88d2c367, 0xd2bf7713, 0x3f96fe0e, 0x9c03a81f, 0xe09f742e,
+    0x7d56f083, 0xf4a77855, 0x43ac26f0, 0x7822b571, 0xd31126e7, 0xb726d090, 0xd080881e, 0x06bac8a8,
+    0x9aefc08c, 0x1a001000, 0x0d8131d0, 0x3aa8740e, 0x924546f0, 0xe15a0c76, 0x37626009, 0xd528793b,
+    0x5bb12782, 0xe2d8d148, 0x7235bef9, 0x14e047bd, 0x46ab79bd, 0xda149711, 0xe3c28799, 0xceb23b5b,
+    0xf5e653f5, 0x7bd84307, 0xee55ee79, 0xdff65b38, 0x74fe8d1d, 0xd8c1a0a9, 0x9ab95ca8, 0x8b81afa4,
+    0xc5ff3988, 0xf3de43f1, 0x6cbb21f6, 0x9b4bf5fc, 0xaba6b4b1, 0xa8a4c960, 0x6c91849d, 0xcf45de48,
+    0x69e42fcd, 0x013d2662, 0x862c0c2b, 0xfdd100e7, 0x2ad9887b, 0x8efa9ff4, 0xd05abff0, 0xaeb7d459,
+    0x7d3f4f93, 0x0a212b40, 0x238a9213, 0xe98c2b19, 0x5b5a7581, 0x064e34c5, 0x9472dfd0, 0x06ccf581,
+    0x948b85c0, 0x447b215f, 0x2b82f22a, 0x9ad2fb7c, 0xc7726e4a, 0x1ddc2c14, 0x80893dd0, 0xc4a8f9dd,
+    0x3a5a90f6, 0xdab4fb63, 0x242f3f86, 0x3ed5c555, 0x7250feec, 0xa56a108b, 0x5c75c135, 0x25f4049d,
+    0x80929f2d, 0xf6937f01, 0xa98c47e7, 0x4e8ffd98, 0x7db47609, 0x4281667f, 0x18362510, 0xa53ecfbc,
+    0x21da4513, 0x5f36a05a, 0xd0010255, 0xf39f4c4d, 0xb47fc6e5, 0x6cd390af, 0xf7ffb28e, 0x99190b43,
+    0xc80d8c75, 0x6ea06afd, 0x45838db0, 0x912d60c3, 0x24f5e29f, 0x9afde7c9, 0x9376a029, 0xbec62334,
+    0x28b31d01, 0xe2a54d87, 0x503ac8c9, 0x11bccff7, 0x80da93b7, 0x95fb93f2, 0xadb6c6f1, 0xbfbd7b18,
+    0xe2b27415, 0x555a5573, 0x50e1f24f, 0xf7b2a153, 0x8468ee43, 0xccc6c136, 0x5ea3a36e, 0xe99d9dff,
+    0x6f611f86, 0xa9ef8e33, 0xad29b6a9, 0xf56f1c69, 0x93750e10, 0xb30c46f3, 0x64a6a29e, 0xfdb96561,
+    0x96ebd8c6, 0x9e5300f4, 0xefb08f3e, 0xd41dda6d, 0x640d6571, 0x355225ee, 0xd5a878be, 0xfc247aa2,
+    0xc7ffa915, 0xdb14d2ae, 0x074ec8f9, 0x26ca8258, 0xe641746a, 0xc2e3978a, 0x919f3c9e, 0xc69aca55,
+    0xd5c6da2f, 0xd1e2416d, 0x82ac2f47, 0x119b3bea, 0x4f04efd6, 0x3ec700d1, 0xd253abd0, 0x88f1cb23,
+    0xcf390b69, 0x123a828b, 0x77dfca62, 0x522a4425, 0x1ffb67f4, 0xf534258a, 0x3fbb6d5a, 0xc1f532c7,
+    0x20183116, 0x23fa1da3, 0xc3efb2a3, 0xc83647cf, 0x008dd781, 0x4e8979b0, 0x4ae2cc83, 0x9af687b0,
+    0xd95c7ea5, 0x0d1ae1fb, 0xa998b2ab, 0x5472f25f, 0xad3373a8, 0x0c680113, 0xb858666b, 0xc524cf03,
+    0xd9260255, 0xcbebbc4c, 0xab4f73d4, 0x5e111242, 0x86481c11, 0xf5090b08, 0xd736fa30, 0x479b6a8e,
+    0xe475209f, 0x959fcc7c, 0x31485213, 0x92d2130f, 0x8874b910, 0x1d163617, 0x6c1d5bd3, 0xabf3b92d,
+    0x00000000,
+    0xab831706, 0x6bc08588, 0x61e98be6, 0x254dfdf4, 0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9,
+    0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000005468126811957529810931\
+                          25556779405341338292357723303109106442651602488249799843980805878294255763456 */
+  { 0x00000000,
+    0x49f474c4, 0x404c3c08, 0xc5c2607e, 0x2b361944, 0xb72b67b6, 0xb86a0fcb, 0x0d26324b, 0xa9a84ca9,
+    0xec127c67, 0x2c093efa, 0xa4126a79, 0xe79c7d93, 0x4cafb4ce, 0x68b11f81, 0xd90a0de9, 0x6ddbc9e3,
+    0x1ee7075f, 0x3215ea42, 0x87701ff6, 0x5ef3ec2c, 0xece536cd, 0x21f7efde, 0x32746a4b, 0xc2e8bfa2,
+    0xec0cc8ab, 0xe35578c0, 0x887fb211, 0x3b8cdd27, 0xe2bf4368, 0x991c1096, 0x536deeb0, 0xe06f71dd,
+    0xca534e37, 0x26ed788d, 0x7465f119, 0x36843ff1, 0xb86bf964, 0x0fda80ec, 0x43ff622f, 0x8bda46f0,
+    0x7e41514f, 0xa90f4f7e, 0x6da9c442, 0x16819eca, 0xa7012e83, 0x938ffdbc, 0x356d845c, 0x09708174,
+    0xb86c8adc, 0x9e916967, 0x586408c5, 0xf516f00d, 0x1842e374, 0x9e1abb02, 0x957779f7, 0x4deb6f66,
+    0x9768469f, 0xd0161d93, 0xc997abee, 0x639d516c, 0xd2614bc6, 0x6c5bed18, 0x826bf757, 0x61aa5ff1,
+    0x42207fe8, 0x51145b9c, 0x8aeb4df5, 0x045954fe, 0xcf32e1ee, 0x0c401f42, 0x41d89353, 0x9ca2d732,
+    0xfad0ef7f, 0x70b79957, 0x10bc0e3d, 0xb9547bbb, 0x1e54caf6, 0x26befdb7, 0x9304c1ea, 0xdded70e1,
+    0x1d19d6e0, 0xee3f0643, 0x35eeddc2, 0x2c182d53, 0x972011e4, 0xe49cbbf8, 0xbf9ff9e3, 0xdf998ee3,
+    0x93a46d45, 0x47ec3c64, 0x0b6ea79a, 0xfaa36ceb, 0xa12d989e, 0x82cb61a2, 0xde61b42e, 0x45047919,
+    0x73e65da1, 0xbc1b5f29, 0xe3520fae, 0x5af66697, 0x3dbf5288, 0x09ffc84b, 0xac23dadc, 0x6c10b18d,
+    0xb07cb601, 0x46c67de9, 0x690613ae, 0xb63f6e96, 0x05610508, 0xc36bb183, 0x446707b4, 0x3cc7921c,
+    0x07cf1fff, 0xd23294dd, 0x5a648f86, 0x32e8559b, 0xf710045c, 0x39eaad85, 0x851450cc, 0xc1b64aba,
+    0x8d13aa21, 0xb1f3f7c6, 0x9bfa259a, 0xf62a2b9a, 0xfba025ab, 0x5faf839d, 0x5237d538, 0x6c01f439,
+    0x30685e91, 0xc77a3fd0, 0x19e424fe, 0xd3aea560, 0x12628eb2, 0x5bc75260, 0xaa80deac, 0x061d9c43,
+    0x1f4912a5, 0x17f67df8, 0x1a5407de, 0xd2b09855, 0x56bad9db, 0x4ee481b8, 0x0d7d7b04, 0x10d6d009,
+    0x53c423bc, 0xa4f9246a, 0x4e3f1c54, 0x786ce034, 0x400105c4, 0x792a2bc0, 0xfb5f8dbe, 0x1011c5bd,
+    0xfd30053a, 0x382b72f7, 0xbe1cd606, 0xd906d60a, 0x3fa446d1, 0x928419c8, 0x819a8886, 0xf0ae8908,
+    0xec4ec54a, 0xcba3e757, 0x97865132, 0x5beff1bb, 0xb6f83954, 0x6b290042, 0x65bd4c05, 0xd4c7fa68,
+    0x9178e069, 0x06fec245, 0xb7bf6fdc, 0xac632daf, 0xcf01f1da, 0xb9c89f1f, 0x1daebffd, 0x2569ec53,
+    0x18bd72f1, 0x260aae8c, 0x4e1902fc, 0xc6dbc170, 0x04e7049f, 0x3cd02d4b, 0xf8c80599, 0xf7377c69,
+    0x80c00721, 0x2a58b638, 0x15667f1d, 0xecfea64f, 0xd8f1f119, 0xb88b91b3, 0x9a797d6e, 0x0b16e79b,
+    0x2c624958, 0xbe5cb206, 0x716d6f17, 0xc3abab20, 0x4d8f107c, 0xa0ddce74, 0x9a9eb1f2, 0xbc50990b,
+    0xe879f9fc, 0x0992b726, 0x6a1e74c3, 0xdffbb440, 0x9776b4fc, 0x85b99505, 0x6f15eaec, 0x5a247b7b,
+    0xa48c1ac3, 0xdf7c431e, 0xeab0c9f6, 0x0998b301, 0x2c68d582, 0x99e2f757, 0xad05ef0c, 0x0b7b40ec,
+    0xd176cd47, 0x8aef9797, 0x88a12c12, 0x1bda714d, 0x0146c60d, 0x54519dda, 0xa3123565, 0xe2497b29,
+    0x87fa0a4e, 0xc00c1121, 0xb67a86fe, 0x77b15cc4, 0x2cef6c1b, 0xbbefe74d, 0xc981a9c5, 0x758e71a5,
+    0x32c66ed3, 0x2b997e5e, 0x79d35b13, 0xf50e4f5f, 0xc83bb102, 0x23acb714, 0x7211e915, 0x006c6ccf,
+    0x249b3a5c, 0x135d8f11, 0xce745e8c, 0x86ecd22f, 0xede76294, 0x7aff2bd2, 0xa9b182a5, 0xd1638d96,
+    0x3d210cfe, 0x9dc6c485, 0xb7a0d9b4, 0x8a81b66b, 0x26706892, 0x82a61298, 0xb81bce58, 0xbe483f5b,
+    0x9db656f3, 0xd305a4c1, 0xb7bebf49, 0x829e98e7, 0xc46dfc38, 0x4610f125, 0x21982bee, 0xc7c8c4fb,
+    0xd6f3bc8c, 0xdac0f432, 0x4bad7d66, 0xcaf647f2, 0x7186cbfd, 0x06349995, 0x7f4ebc58, 0x01041c7c,
+    0x83d492c0, 0x92170274, 0x34d83ea5, 0xf1b018ce, 0xd453c5bc, 0x640fdca3, 0xc26ca2ab, 0x8b7a40e8,
+    0xf1074b16, 0x501eb3c4, 0xb4094f12, 0x61e40d76, 0x3f433450, 0x2568273b, 0xe466c6cd, 0xa8cbe228,
+    0x4bb12a76, 0x82c024dc, 0x6daf3051, 0xd6df7dab, 0x45d3b56a, 0xd1c46b69, 0x3bf56624, 0xaae93274,
+    0xb66b42dd, 0x1f01429e, 0x19443a0d, 0x5e195be0, 0xe4e4dd7c, 0x2446a110, 0x48cadfa9, 0x37ef215f,
+    0x1a10c8a1, 0x5552802c, 0x42a328ef, 0x83518806, 0xbb287c10, 0x48701cbb, 0x33328e46, 0x5f6e2c96,
+    0xf407e649, 0x73003524, 0x1c9aee3a, 0x92c97d12, 0x8f0c9dfd, 0x90311d2e, 0x09ceeeff, 0xef37753c,
+    0x7523bcc7, 0x1eedc746, 0x5a92be03, 0x1115d13d, 0xbb8b9773, 0x52916521, 0x6a933adf, 0x9e2efee3,
+    0x2de5b02a, 0x80ba6395, 0xb56e2a54, 0xe61ea459, 0xc2af1340, 0x5df78b36, 0x4c7671b9, 0x06b797ca,
+    0xd7b41380, 0xaa388cdc, 0xedc2c994, 0x3a515783, 0xc5c91915, 0x1210dd28, 0xae914122, 0x8e4a80ce,
+    0x0945496f, 0x9a885ec7, 0x8397edd1, 0x698ba1f6, 0xa2c36ece, 0x4106cb4a, 0xd93bca59, 0xcfeb25f6,
+    0x9797a47b, 0xcebda0c4, 0xc7d6f2eb, 0xb66dee6b, 0x098201bc, 0x88f7200e, 0x5d40c721, 0xf7cc70f8,
+    0x3307d6e0, 0xc685ac2a, 0x82ac9854, 0x1d4128a8, 0x66fa2674, 0x449833db, 0xe93946e9, 0xf8d807e8,
+    0x5a1deef6, 0x1c5653c5, 0xef3cf9d4, 0xda3feb9f, 0x6755e92d, 0x86c05660, 0x6d87efa4, 0x5053a421,
+    0xbadb671d, 0x5e757ba1, 0x2a9738d2, 0x1d9f59db, 0x093ae6ee, 0x2a2e69ec, 0x57cfb7ec, 0x18f94138,
+    0xc7cc2331, 0x11e621ad, 0xfc8397bc, 0x4017c59b, 0xe42b59b2, 0xa9381328, 0x4895282e, 0x39b69508,
+    0x4fa74b94, 0xd60047f6, 0xfdf90ea7, 0xf3555c77, 0xcfc859ca, 0x741a1708, 0x8f5cd1a3, 0xcdd58a5b,
+    0x0ab98ba1, 0xd5572656, 0x689e64f1, 0x8a7c90f3, 0x9f290412, 0xa30658fb, 0x57f217ef, 0x5477fac1,
+    0x1c186b25, 0x7dd248a3, 0xec042601, 0xaa039d49, 0xdfd936b9, 0x4d3924da, 0xf2211474, 0x8ca2b900,
+    0xabdecf0b, 0x30f5c753, 0x3889848c, 0x9f21f88a, 0x50a46fcd, 0xccb2a662, 0x617e1316, 0x3fc8418e,
+    0x85de67da, 0xf32f43e9, 0x3a6fc701, 0x13b0bd37, 0x500ee811, 0x5a1929ce, 0xda3b336f, 0x9d07b108,
+    0x0ba0a0ff, 0xfe23e750, 0x81c00d37, 0xe6bc5131, 0x086e474d, 0x083d549a, 0x97765500, 0x78e3ba2d,
+    0xb9473f65, 0x134024d3, 0xbd553637, 0x6dbbeb3d, 0x8863fc58, 0x1659d0af, 0x53d6a0fb, 0x1e590770,
+    0xd21303ad, 0xe8528fa7, 0x899bf749, 0xcd9b339a, 0x36b14d71, 0x0eaf316f, 0xa9ca96c0, 0x36edb237,
+    0xbaff5044, 0x19282c73, 0x5d5762a7, 0x83be6c24, 0xf665208b, 0x81f10b2a, 0x599fa65b, 0x105c3d19,
+    0xff113a40, 0xc955feb3, 0xb9ec4df1, 0x82c93857, 0xb326ebab, 0x450c70df, 0x8fdec777, 0xd5cb5e79,
+    0x87b21e78, 0x3d685c9b, 0xa5598afa, 0x359e958c, 0x082649ea, 0xc5e9e858, 0xbd5c0bbf, 0x2137051b,
+    0x95dec048, 0xe65ed2c5, 0xf59640e2, 0xf3eaf7aa, 0xc7ed8fa5, 0x06bb362b, 0x15924144, 0x46cd1bf5,
+    0x97d4d287, 0x50c1f837, 0xd4bc4359, 0x2c5d732c, 0xd1351273, 0xecd288d2, 0x1f467fcd, 0x0c35814d,
+    0x43b372e8, 0x15d42984, 0x0999e6c3, 0xc517f52e, 0xb0d474c1, 0xa2c07241, 0xc9aa97f6, 0x3cc3cccc,
+    0x209315f8, 0xcf283cf8, 0x57809868, 0xd9d7c082, 0x8ce4203f, 0xf1666eca, 0xba540257, 0x74e2efff,
+    0xd55b6ce7, 0x37a92b7e, 0xb4a70e40, 0x29256b3a, 0xa0d50192, 0xe3802b25, 0xadbd6b5f, 0x9c9a38b5,
+    0xf84120e4, 0x4b5891ec, 0x5cdc8471, 0xc614e8f8, 0x75843baf, 0x7f1561fd, 0xf69e47b8, 0xf905ad78,
+    0xd9382c80, 0xcfdce466, 0x7980fb6e, 0x553cb2cb, 0xd73c8db2, 0xaefc6791, 0xc4722043, 0x39f6d680,
+    0xd3cf32fc, 0xbb297327, 0x206d092e, 0xa01f0650, 0x0d1a046a, 0x749bc2b2, 0x13a906ff, 0x363390f1,
+    0x8fec14eb, 0xac942a57, 0x73708146, 0xdfcc31ce, 0xf9cbbe00, 0x87b7a007, 0x8734f6aa, 0xebde8795,
+    0xd2182b1a, 0xf046f13e, 0xe0d2867f, 0x5a2f5ddb, 0x69569445, 0x75dec93a, 0x576a3219, 0x3b42e58d,
+    0x5804d6e4, 0x5cabbc7e, 0x45ae5a81, 0xfbcf1902, 0xbe5692d1, 0xf73faaec, 0xc75fe53d, 0x73d5db81,
+    0x45dfd8d4, 0x46df4617, 0x885c9d13, 0xadc8e615, 0x961457b5, 0x1b048afd, 0x14aee878, 0x556998f4,
+    0xb840c960, 0xbc80f7a7, 0x54826ec7, 0x31295983, 0x53e4fe08, 0x66cba4b6, 0xc46def79, 0x8b3f13cd,
+    0x0a101a73, 0xde266866, 0xb937ce7c, 0x2e1bb65b, 0x675e49f6, 0x8d10f908, 0x911462b0, 0xc787d903,
+    0xea97b912, 0xa6f2213a, 0xd7ed97a9, 0x279ac7d1, 0xaf6083b8, 0x7a4b4712, 0xb9611c33, 0xd8fbec0f,
+    0x01d0f53f, 0x3c381596, 0x31788300, 0x292765f2, 0xbb2b4602, 0xb15588bb, 0xc47c1cb6, 0x82a42064,
+    0xb27661f8, 0x5f29070d, 0x549f04b3, 0x53177a6e, 0xed16c19e, 0x12b29c6f, 0xb930d51f, 0x7cbdf11c,
+    0x3c9d8fff, 0xa8f1cf12, 0x0d8d6276, 0x979096e6, 0xf4849e3d, 0x389d2dd5, 0x14f02b72, 0x7036a818,
+    0x5bccd219, 0x5a73b5c7, 0xe426fb6f, 0xf4c455bc, 0xe5a3b8a6, 0xe4a603ab, 0xec1917f6, 0x41776bf4,
+    0x2be52231, 0x277afeb2, 0xb6494da7, 0x30c74d43, 0x6c8088bd, 0x617028c9, 0x4463a8b4, 0x05d280b6,
+    0x453b8e2b, 0x235effad, 0xfb286cc6, 0x578a0f83, 0x6ed4af72, 0x18ce0c0c, 0x66f991f4, 0x3a870786,
+    0xe3c6beca, 0x742750ae, 0xc71c2677, 0xc2957976, 0x7b27dd91, 0x53085373, 0x14c0f0c5, 0x55d2a058,
+    0xc29c6b00, 0x188f82db, 0xe0bc0fcb, 0x97f2dc48, 0x1a25411a, 0x274c1292, 0x3af86911, 0x36fc8842,
+    0xaed97b93, 0x60474968, 0x6d07755b, 0x0bf8f7d8, 0xf797877a, 0x6ec79348, 0x01707b9e, 0x6c670da9,
+    0x7556887c, 0x4db6d8c9, 0x83118adb, 0xb9f42a21, 0x6495cc9d, 0xe6a3fd01, 0x4e24d8c3, 0xdd27a701,
+    0xc0ad0b5f, 0x6ee480af, 0xecb0cff9, 0xe99b7547, 0xa3144587, 0xa668e76f, 0xfe51cab7, 0xb0ac902e,
+    0x39181da6, 0x0c32d99f, 0xf37684ef, 0x13f18306, 0x0a53193e, 0xda121676, 0xd59f5450, 0x1f0d3556,
+    0xab722a16, 0xcbafea13, 0xe5ef8652, 0xe77b0e81, 0xe2fe813e, 0xee7852c4, 0x3fa933ef, 0xe82208d2,
+    0xa1c33b05, 0xcad3e5a4, 0x79a653bc, 0x23f496f2, 0xa8a6f01d, 0x3bb80346, 0x164d6b75, 0x34d05dde,
+    0x5b6fcecd, 0x3c5c8659, 0x8682e68e, 0x6c234c6b, 0x323c3cf6, 0x3c01ede9, 0x1d9bd68f, 0x658effad,
+    0x78cf2bbb, 0x8efaea11, 0x3905aff9, 0xbd09d757, 0x05530616, 0x01daaf33, 0x223043f0, 0xdadd6094,
+    0x8d353e70, 0xf24fda1d, 0x8cb2aa4b, 0xc54597f8, 0x1f4b1bd8, 0x5e7b35cb, 0xe5f2c738, 0x1230dc69,
+    0x957f0be9, 0x091c70c3, 0xdd625f43, 0xeb3dbb40, 0xc418360d, 0xa088e08b, 0x0799af20, 0xc85a2004,
+    0x508280e3, 0x7c0ff62a, 0xaf2ae0bc, 0x262dbd09, 0xd7a7529c, 0x467254bd, 0x95da601a, 0xb48ffa85,
+    0x175fdc17, 0xfd8a01c5, 0x75d09605, 0xc4cf6d12, 0x0141f7fe, 0x747175f7, 0x63f0a703, 0x9dbc820e,
+    0xe9820882, 0x89205ea9, 0x68feeac6, 0x98735da9, 0xdd9e06ef, 0x83d68a85, 0x72362956, 0x87c69ebf,
+    0xd18bb835, 0xfd4ea0fa, 0xbe00e3ed, 0xc6ee8242, 0xbb0a5c28, 0x5b77eab3, 0x75384547, 0x8011232c,
+    0x20441a39, 0x9e0255a9, 0x3c605f6c, 0x3392e86e, 0x680ed753, 0xf9fc4576, 0xf69d42c6, 0x50273856,
+    0x281545a5, 0xfe716a38, 0x530ae303, 0xbf3c68e5, 0xd1617199, 0xc404f9ba, 0xb9c75215, 0x23265e3b,
+    0x72e31308, 0xadd62884, 0xc776fcd1, 0xe6fcfc40, 0x37ef42d9, 0xd92fdd66, 0x25c26657, 0x6ae4a034,
+    0x6c20904d, 0x8d7d89aa, 0xc662740d, 0x34549d0a, 0xe017d011, 0xe455e771, 0x5c7281c9, 0x67853520,
+    0xd658d8ba, 0x341fb45e, 0xd3bbd418, 0x4985fe78, 0x1e59c1fc, 0x1ae3bf2b, 0x5c568fb7, 0x54ed8414,
+    0x616df320, 0x3d4fbc0b, 0xb86b27e5, 0x42b02dc4, 0x2aba0a43, 0x65a010ec, 0x42a84069, 0x9ea633ee,
+    0xfb6d9448, 0xaceb37ef, 0xfc0d90f2, 0xee9727db, 0xc469ec9b, 0xe22e8631, 0xfb0963b1, 0xa14e6102,
+    0x6c22f65d, 0x71e562f8, 0x2e11d11b, 0x3a206c05, 0x04ecb474, 0x1b11737c, 0x583e3bf5, 0xc7e9846a,
+    0x1c12692e, 0xe5ec202f, 0x013e8b90, 0xdd73a7fe, 0x005c096d, 0x906222ba, 0x39644bf1, 0x42602f2f,
+    0x325b67ca, 0xd76969a9, 0x438836b7, 0x32ac3adc, 0x8ffdb2b6, 0xcba3e526, 0xbbf5bafb, 0x520dbd4a,
+    0x5e539a84, 0x7dedf8c3, 0x3acd557a, 0xa9bb2304, 0x8b9b049d, 0xf4c7cc13, 0x655621a5, 0x2ed0553f,
+    0xe0c65976, 0x820da392, 0x2a312822, 0xd0bda40f, 0xbedc7135, 0x56e9a9f9, 0xa2199c02, 0x3479c797,
+    0x5f21c342, 0x3fe7463f, 0x03091854, 0xd48ec1f8, 0x40b59068, 0xd4c68f7b, 0xe6908b46, 0x95448e99,
+    0x4c1d8e0d, 0x34e6aba3, 0xb3a68fcc, 0x4669b84a, 0xfaa9a136, 0xe6369748, 0x60befa1a, 0x5d548397,
+    0xd901fb96, 0x75c5001e, 0x7ee3ed7d, 0x0d5ada7d, 0x5d4475a1, 0xfb6ea379, 0x06ea4f27, 0x9bd1f89a,
+    0x45444a38, 0xf5c6432f, 0x65e0d5c2, 0x6f0e8aa9, 0x41f7b0ca, 0xbd7f6730, 0xcf6effa3, 0x327f5d19,
+    0x07124698, 0xa9e77cfd, 0xd9699591, 0x9beb507b, 0x941264f0, 0x60921d76, 0x7a2d848a, 0x78474811,
+    0x3dd3cdbd, 0xdeaa4262, 0x30890c39, 0x09dac25d, 0x8e1e820f, 0x7c5b83ac, 0x765a9df6, 0x5fdfabc0,
+    0xaf2c2cac, 0x14300800, 0x6c1965c2, 0xe8b7d8ec, 0xa08f1fcc, 0x34cfdf4e, 0x9958e5e9, 0x63c36a56,
+    0x1e56b96f, 0xc465741c, 0x9a73d5b5, 0x1a8bc969, 0xfe4d60eb, 0xe5552b4d, 0xd9b02187, 0x414d6de5,
+    0x9a36a63c, 0x5495f14f, 0x9c10c8f2, 0x8e6bd032, 0x33b290f8, 0xa1f0d4e3, 0x5f45cdd0, 0x699a2740,
+    0x75718e09, 0x2bdba246, 0xe47a30fa, 0x24dae44c, 0x74492caa, 0xf5817b57, 0x5ac1811e, 0xb9215edc,
+    0x188b6989, 0x87994e80, 0xcfb1650f, 0xed0bd02f, 0xb1e8caf2, 0x9ad4a0e4, 0x0273988d, 0x71f87918,
+    0xda4da19f, 0x786e38c1, 0x08b53037, 0x8f9bd2b5, 0x75f22c0c, 0x8b1caa74, 0x35800168, 0x64703aa7,
+    0xca6cb6f9, 0x7499dc77, 0xc6187329, 0xa3aabaf3, 0xc1956e05, 0x3a417c87, 0x13ff3bf0, 0x6daf3692,
+    0x99a65c93, 0x603b75b6, 0x225dce36, 0xfcf5acd8, 0xa78f6562, 0x2a2c53a0, 0x13428139, 0xc0da91f1,
+    0x1131114f, 0x100c9396, 0xd1e9f3fb, 0xb4619957, 0x65512c91, 0x3495a9dc, 0x5668a763, 0x4e3b5af9,
+    0xde2679c4, 0x9d41e139, 0xfabd82d4, 0xcce08156, 0x81ddf176, 0xdb3f26bc, 0x93d3875d, 0x42a42e98,
+    0x0184982d, 0xf2389c24, 0x8c87ba04, 0xe4eac205, 0x53e9193d, 0x1a00e167, 0x241e0b30, 0xd1cf0c14,
+    0x00000000,
+    0x55c18b82, 0x35e042c4, 0x30f4c5f3, 0x92a6fefa, 0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164,
+    0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000002734063405978764905465\
+                          62778389702670669146178861651554553221325801244124899921990402939147127881728 */
+  { 0x00000000,
+    0x3df0aaf6, 0x141dfac4, 0x2fd15556, 0xfe869020, 0x3b019c62, 0xd22dfe74, 0xb74375d8, 0x1df6a8a4,
+    0x407d9ff2, 0xaacacfed, 0x2afde40b, 0xe92517f8, 0x99ada2ae, 0x911877bc, 0xce9774b8, 0x30055dbf,
+    0x7469b748, 0x1748d10a, 0xe58cdb35, 0x47592863, 0x134cf559, 0x55d4c335, 0x8099e8f3, 0xb0d3cf8c,
+    0xd2f83281, 0x62b19016, 0x36ce5638, 0x584f9ba9, 0xcbb203e8, 0xab040407, 0x7c674c95, 0x3a9a7a4f,
+    0x4851d8f8, 0xc601afee, 0x295debc0, 0xac6e0c1d, 0xee0d3033, 0xe31140e5, 0xeba70fb3, 0x7d3c34ef,
+    0x649048f8, 0x8ce82d27, 0xd70f31c2, 0x0d312a80, 0x2413bbb4, 0x33cb9c47, 0xd4d2de4f, 0xc5763d0f,
+    0x57144bc6, 0x882d8915, 0xf75a475d, 0x5922a2c7, 0xb535ff47, 0xe467fd01, 0x494155e6, 0xc66d94d1,
+    0xff2a84b0, 0xb4da07b8, 0x5c311112, 0xb12f7d96, 0x57b45096, 0xdd2d5ce5, 0xfb634b57, 0xf0f903b8,
+    0x3f4ae339, 0x245fefd4, 0xa25fce7c, 0x48636212, 0x14753ace, 0x4e89e949, 0x38ed4e45, 0xf4a4534a,
+    0x104b8e96, 0x885f3b7f, 0x6d7aabf4, 0x4b7b2a2d, 0x25ca8d80, 0xdc241b26, 0xa027e6a6, 0xbed7e689,
+    0x78e21a51, 0x1cc5091b, 0x6b4bba30, 0x62c9c997, 0xfe803822, 0x3912ff68, 0x0679db47, 0xd4bbbf03,
+    0x7422fbda, 0x71dd3f0a, 0x4a8f31c8, 0xc791bcdc, 0x0f67336b, 0x6e7ff929, 0xc72612b1, 0x08391bfa,
+    0xccdd4413, 0x4dc48c33, 0x94f373e6, 0x115d6743, 0xa7de8af2, 0x32b58800, 0x6936b1f9, 0x54b5dad7,
+    0x847da9bc, 0x73242cdd, 0x2b2c9145, 0xd10d313e, 0x170fa6f2, 0xdb548853, 0x33a1a50c, 0x18ff6b85,
+    0x9a9fdd49, 0x21cca52a, 0x629a0fc7, 0x3c244c7e, 0xaf985134, 0x926a1785, 0xd20131aa, 0xf0b586f4,
+    0x4f45de2a, 0x01b31c3b, 0xfa9fd227, 0xe88795e3, 0xb5a86ab3, 0xf18c4176, 0xdff711c6, 0x013767d0,
+    0x24b0496a, 0x26462b56, 0x152ee068, 0x252fd145, 0x2efb7ef5, 0xde057178, 0x2b5dea41, 0xb4565253,
+    0x2b8fda59, 0x872ce8f9, 0xe3dc87aa, 0x9c1e0873, 0x1f2dd8c8, 0xfee4a7d7, 0x2f5615e0, 0xd114bc9c,
+    0xa28fe120, 0x26ee469b, 0x0af129ce, 0x593eb27a, 0x5cc3e399, 0x68752f1f, 0x0056bb98, 0xcc070915,
+    0xbf0b5024, 0x63b4062f, 0xc67f6ae4, 0x28d2138f, 0x733456f9, 0xc00cf0a1, 0x7e4af8df, 0x39cedee0,
+    0x10ae2379, 0xb8350b64, 0xf2ba6ed9, 0xd58b8ddc, 0x34dc6c6e, 0x71b9026d, 0x9ef29f12, 0x7aef8796,
+    0xed37da59, 0x07c6e1bc, 0x02533c5f, 0x89ed25f3, 0xc9599232, 0x572f058e, 0x8eaaead6, 0x575d5a87,
+    0x25340045, 0x9b24522a, 0x5ec5dd57, 0x85a5cac5, 0x0f71ff7d, 0x9f515bbe, 0x9c11f250, 0xf6eeee5e,
+    0xda31d202, 0xced052b9, 0x56f8c6c6, 0xffb9ec19, 0xb930749e, 0x535a892d, 0xf1efb626, 0x8ecce838,
+    0x58fbfce0, 0x8278f2ae, 0x207a5c42, 0xd7c8b167, 0x2f2d429e, 0xfc02273c, 0xbb7d8d12, 0x8cea9c27,
+    0x197eda69, 0x0928032a, 0x291afc06, 0xe53ac4d5, 0xb3956378, 0xc24582be, 0x83175a7e, 0x1ddd9423,
+    0xf551fe4c, 0x45edfdb2, 0x5454c37e, 0xf26624df, 0x11febe7c, 0x65a87b61, 0xd0ff7345, 0x367f3cf4,
+    0x06fdad45, 0xda861dec, 0x9f864974, 0x25b5a3a2, 0x29244596, 0xd4a03609, 0xde5c1d7a, 0xe4c86e7e,
+    0x4ad46e33, 0xa4026d59, 0x0585c81a, 0x4e1876eb, 0x8184251f, 0xbd53bc73, 0x62278171, 0x03458bf2,
+    0x4e1c4032, 0x60283ef5, 0x536ddba6, 0x3e53962d, 0x41bea3ca, 0xfa7a5c02, 0x2880abdb, 0xf7315533,
+    0x3066278e, 0x14cf4c17, 0x0764d775, 0x80fb6c77, 0xfbf24bab, 0x07963d53, 0x3b7ae67c, 0xe7f76aee,
+    0xb4f38ac8, 0x9e9bb2d9, 0x1a93f98c, 0x13612788, 0x83ff54fa, 0x4ea6955d, 0x69567b93, 0x60d363e7,
+    0x730159a6, 0x37ab2ceb, 0x979de273, 0x0ad7ebdc, 0x1663ffb4, 0x1323975f, 0xc2554f7e, 0xa361c4a2,
+    0x1d10d4e1, 0x104c317a, 0xd5709f74, 0x27a16f6e, 0x7ac1ef7b, 0x38f2b8df, 0xc0d54da3, 0xf5753f89,
+    0xe685d61d, 0xf1146532, 0xfce71877, 0x0ea1557e, 0x4df945fc, 0x17272023, 0xb2e56e99, 0x657f73b7,
+    0xd9aa287f, 0x6ad0969f, 0x8bd2b0bd, 0x7e29c30d, 0x00734f94, 0x17f09d43, 0x3f408b01, 0x4202dba2,
+    0x6f919090, 0x955b0ee8, 0x6c59f6eb, 0xbda5656c, 0x40e70c71, 0x344cd2e8, 0x55af4a98, 0x04e40da0,
+    0x20119718, 0x1984eedb, 0x40b69366, 0xab0bd507, 0x21d42d6e, 0x3cd36267, 0x7fc6cc45, 0xeaa8faf4,
+    0x3c9c8aa3, 0x1ea56381, 0xca0adebd, 0x44c4b003, 0x5775f15b, 0xef90aae5, 0x9ac0007c, 0x591eba05,
+    0x4391eaa6, 0xa6dd4645, 0x8d49484b, 0x42074844, 0x5da0ccb3, 0x951bd9fe, 0xf3b34bc8, 0xdb2d200c,
+    0x847e9bb6, 0x5dd49e8c, 0x8830df4a, 0x35d23801, 0x5fd991f4, 0x46d3e603, 0x96b39e3b, 0x35dcaea6,
+    0x9191d81d, 0xddf448b2, 0x44ff2226, 0x09e80eda, 0x707d47e1, 0xccd528bd, 0x265a8067, 0x4908a10a,
+    0xcce35ac9, 0x4d39ecd5, 0xdcbdb6dd, 0x3d211856, 0x9af222b6, 0x0482373b, 0xbf88204c, 0x3d0867c0,
+    0x21281fe9, 0x4d69253e, 0x679b93a8, 0x0b93fbe6, 0x015628fd, 0x432a4dd4, 0xfd5e50d3, 0xdd7c1da7,
+    0xa369b60c, 0xbac43875, 0x315aa005, 0xd1f073bc, 0xcc20c365, 0x5f033524, 0x49511414, 0x1962724d,
+    0x923232bb, 0xec706598, 0x6a64ef77, 0xe2087b4d, 0x79c584e8, 0xf54f5e7c, 0x937881e5, 0xad515efa,
+    0x973011e7, 0xda515271, 0x197590b9, 0xa5c77545, 0xcd4ac7ba, 0x38db53e2, 0x4a6c11ca, 0x77e79b10,
+    0xb9f285c1, 0x410cfe13, 0x8b652143, 0x1625b8f6, 0x4c0edde2, 0x22906063, 0x88b0c41e, 0xe2efb066,
+    0xadf87955, 0xf9c56d26, 0xf573ad75, 0x593c7b87, 0x4c323093, 0xee9e5b84, 0x48ecec87, 0xeee57b2b,
+    0xda95963a, 0xeb885d52, 0xb8bc6ffa, 0x9dbd5131, 0x5f9980d9, 0xfcb94923, 0x01ca6a77, 0xbb3a8bfc,
+    0xf3dafd55, 0xf0140a2f, 0x26a4696d, 0x0473b450, 0xa2f3d674, 0x8cbbaedb, 0x6fd8aa9e, 0x4d884e05,
+    0xbe50126a, 0x91b0b72f, 0xa27c498d, 0xe7f2b3fb, 0x43a88491, 0xe90ab798, 0x6fdc75b7, 0x86b382cf,
+    0xab8bfd6b, 0xd1276f5b, 0xd01eebc5, 0x33a9b1d6, 0x70051dab, 0xc8866ca6, 0xf05099f8, 0xeb60a41b,
+    0x487338ff, 0xf57aebb9, 0xaac4cb04, 0x24d4ee13, 0x62125125, 0xef5ef7da, 0x5d1a9dea, 0x7e4e5a0a,
+    0x9735fcf1, 0x043807c6, 0xe3ca2c52, 0xec080a49, 0xb280bfca, 0xe814d3a6, 0xf6456d2d, 0x02ea8396,
+    0x0362bc3d, 0xbe10294c, 0x88d483cc, 0x7982113a, 0x303b5942, 0x64a6f8dd, 0x7d173aba, 0xb555642b,
+    0xf4c6bacd, 0x94403573, 0x53ebb396, 0x38741634, 0xba2f6691, 0x1a03f0aa, 0x861be3f2, 0xb5966fb5,
+    0x5641b02d, 0xde992a06, 0x47fdb182, 0x4bf588f6, 0xb5cbd827, 0x8d7a4744, 0x50db429b, 0x1aeabd14,
+    0x81a70722, 0x910f48fe, 0x67dd6287, 0x0ff3ed8f, 0x1bdf70a2, 0x34e02031, 0x25c97721, 0x3c7067d9,
+    0x49cbd78a, 0xc7297d1b, 0x2b24ea27, 0x2b35992f, 0xfc760f92, 0x006266a3, 0x76d3263d, 0x1e12b2c0,
+    0x67b6e23a, 0x57e4d60c, 0x7e4f8e95, 0x7648f344, 0x90b82bbf, 0xe22885f2, 0x75be955e, 0xa26dafd4,
+    0x09ea3238, 0x1c5fb021, 0xc9bcf576, 0x8d95bd14, 0x4b7f749e, 0x2781ddf7, 0x07c6b7d5, 0xbfadc124,
+    0xc17711fa, 0xeb8ac701, 0xb81c3e2d, 0x3a367d64, 0x433f0a28, 0x62e5771b, 0x59c0df02, 0x03a37b0c,
+    0x489ca9cb, 0x3fe74b5e, 0xf9de6632, 0x28ee92c8, 0xcd280977, 0x02727239, 0x6852cbfc, 0x16f96718,
+    0x5ef25f3a, 0x2c1a6612, 0x52ed12bc, 0xa125c167, 0xd8397efc, 0x5d7170de, 0xdbc89bdd, 0x7a1eb24f,
+    0xea92c557, 0x17cfc252, 0xded344f7, 0x11c2268d, 0x3aab062e, 0x5a1196c9, 0xbb395261, 0x723c7e94,
+    0x9837dde0, 0xf83b576a, 0xc4fb9829, 0x6956e924, 0xe2905053, 0x3e7d96c5, 0x57eb94f3, 0x3b13b77f,
+    0xa5f705c0, 0x9695b302, 0xabb1d3e3, 0x2b96986b, 0x1125b860, 0xe830eb70, 0xe057c99c, 0x6607d71c,
+    0x6e136d7d, 0xeaf960f5, 0xfd60e383, 0xbf9f8348, 0x24cc7c6d, 0xbb1d36fd, 0xb8225ad5, 0x4b02e0e3,
+    0x5d89bb60, 0x3831c423, 0x04c73a77, 0x9545b68b, 0xe2d5d154, 0x2ed9d724, 0x3d0387d1, 0x9bb468d3,
+    0x5fd7fccf, 0x91e29d70, 0x285774e0, 0xc68c61c7, 0xc4347b06, 0x0dabc4f6, 0x1b0b789d, 0x9cd835ab,
+    0x7b14b3f6, 0xdd6322df, 0x39cef914, 0x35fcb292, 0x26a0ceaf, 0xb09c257a, 0x269ef41a, 0xb7def9e1,
+    0xf66b0a84, 0x8c9f9f85, 0x27f42f4c, 0x96865068, 0x2420fb35, 0x00a8ac2b, 0xb4b38765, 0x3ad91bca,
+    0xb5961db0, 0xd48e0329, 0x8ed1505a, 0xee80a9ac, 0x16d01d4f, 0x3339daa3, 0xa2c2764f, 0x2018420a,
+    0xa9a2b338, 0x5dab9758, 0x0a48be5c, 0xb416c02c, 0xd9a89b7c, 0xea1ae425, 0x1bffc8d9, 0xdd5dc41d,
+    0xcf639286, 0xe58c240a, 0x59c8b727, 0xe2e837fe, 0xf866f89a, 0x0509b34a, 0x4c7fdb91, 0xc623d01b,
+    0xf24f7274, 0xa94e750c, 0x334f43cb, 0xae38552c, 0xbea25033, 0xc72f26da, 0xc5329366, 0x36755c78,
+    0xd5af6654, 0x179abde7, 0x4c692d4b, 0xe7e2ab78, 0xb328f472, 0x96600cd7, 0xe168b38b, 0xe8c79630,
+    0x17f7ec61, 0x6dc494c5, 0x4759250d, 0x0b35c425, 0xc254c12d, 0x27b79cae, 0xfaa72c4e, 0x805e993f,
+    0x14658ec3, 0x071a1636, 0x4f32c387, 0x3bd6fcb0, 0x790703ac, 0x8a4ec40d, 0xabeb1141, 0x54e37aef,
+    0x478fdd51, 0x03f46ef4, 0xa417fb54, 0x07898549, 0xf9d176d0, 0x620f542e, 0x6d72a934, 0x805e5451,
+    0xcdedd540, 0xc77d73b3, 0x594c33d3, 0x120bfc6a, 0x08539d1e, 0x04b37105, 0x47e3802b, 0x132dbbf5,
+    0x2d135d1b, 0x349737f7, 0xaf3744fa, 0xcf0bd738, 0xf780cc2b, 0xe7c3db9d, 0xc0afc472, 0xcd757831,
+    0xbaee295f, 0x5208e6b5, 0x4dc84aab, 0x33035f1d, 0x53a553bd, 0x4f0dee58, 0xc59c8e07, 0x252b75f5,
+    0x4ffc0f1b, 0x42042be3, 0x3684d8a8, 0x12c9a036, 0x5e88f0df, 0x2926bf20, 0x69b6a3a9, 0x98057af0,
+    0x5b7d58a3, 0x71a9d9b0, 0xa66c48b2, 0xcb582e34, 0x58c05076, 0x3d10ff93, 0x43f35bb4, 0x9b8cd27e,
+    0xc68b6ce6, 0xe715fee3, 0xda188983, 0x9028b790, 0x7fc03e15, 0xe3938bbe, 0x2c4333c2, 0x89c192df,
+    0xe1b49730, 0x81cf597e, 0xe0e60c78, 0xa44f5af4, 0x1604a919, 0x6ae167e6, 0xd55253e4, 0xa9c2ed3c,
+    0x63acdb8f, 0x5cb4e1a6, 0x113f714b, 0xb6dd2fcf, 0xd69b757f, 0x2c7101bd, 0x7a77d70e, 0xc818db84,
+    0xffc9956f, 0x842bfb0d, 0xe0b99809, 0xecb83e2c, 0x3e285795, 0xcdfea2a5, 0x73608338, 0x38b2ffd7,
+    0x7c500063, 0x62c0fd33, 0xb067580a, 0x8bd4c285, 0x8439c852, 0x0ecf54fa, 0x41132b2a, 0x5adbae50,
+    0x6c19884a, 0xed8fe94b, 0x420a2949, 0xcadaa160, 0x541b56c9, 0xd2cbf47b, 0x16513229, 0xe01df33e,
+    0x460dd5fe, 0x661f21b3, 0x7373722f, 0x4c6f36bc, 0x36ed7c34, 0x320b4fb1, 0x48dbd15a, 0x07cd14e3,
+    0x957f1253, 0x76e2dafa, 0xd7952193, 0xc98ca841, 0x80b26946, 0xde921a6f, 0x49daa44a, 0x5f6402d7,
+    0xef800e7a, 0x0ad80b32, 0x0ae49307, 0xd031af1d, 0xe6312cc3, 0xae0ae257, 0x564f47cb, 0xbe120025,
+    0x5f34c1f7, 0x77ae290a, 0x2c6e253f, 0xd4ddf964, 0x57da2276, 0xe4783375, 0x1135150d, 0x994fb5d3,
+    0x51ce0eab, 0x7aaa029e, 0xdaff3a32, 0x9ece765c, 0x5899207b, 0x9e889b05, 0xdb705d17, 0x377fdfcb,
+    0xf24ae50c, 0x612798e0, 0x66b376a7, 0x468e039a, 0x1460de91, 0xb2a6dc18, 0xdfae0cf9, 0x4f7f1bc0,
+    0x02b76ead, 0x8b3e1c9a, 0xde1ce229, 0x34b1a5fa, 0xf4970110, 0x95ce4e2e, 0xc397eafb, 0x55639333,
+    0x26bbe7e4, 0xb1658d9e, 0xa338a5b4, 0xe310c36a, 0x88b66769, 0x391fd900, 0x24814e19, 0xc4155e57,
+    0x99ba2fd4, 0xc0523d84, 0x537fc803, 0xa3cec422, 0x2731f5bb, 0xd2593095, 0x6de701e2, 0xa6ec107e,
+    0x71fb261b, 0xb47d123c, 0x4acd8bbf, 0x0606204f, 0x82d8f28a, 0x57b432ee, 0x37b9d5f5, 0xa7831fab,
+    0xf210f593, 0xecf2fe37, 0x91d064a7, 0xa27aeca3, 0xa17065f9, 0xab9afaf8, 0x91709ae6, 0xa740edbd,
+    0x6b1dbd7b, 0x2ea58c4b, 0xb5642ca2, 0x12ad02ec, 0x6232ef1c, 0xefe9073c, 0x81f00c37, 0xddaf47a1,
+    0x353af886, 0x61ed1b57, 0xcad40f98, 0x35a92823, 0xf048ee80, 0x93b4fcf0, 0xb1ab9218, 0x0c8052f6,
+    0x08562c1f, 0xad2099ee, 0x614eeb4e, 0x6b3a6784, 0x645d7f71, 0xff52afd9, 0x67d3e26c, 0xd75c0558,
+    0xa0fa9a14, 0x160ce025, 0x387596af, 0x20e13b8c, 0x606ef43e, 0xd939feb5, 0x1e4f76f4, 0x5327b701,
+    0x4b5f4b76, 0x54e3bef9, 0x3550c1bd, 0xf1a3892a, 0xd3b2c2a2, 0x21a0ca1d, 0x3574aa5c, 0x05dcf69b,
+    0x7a5e258b, 0xecb01e71, 0xb7808f2f, 0xda1d056b, 0x8275960b, 0xf9ef09f8, 0xdcf82245, 0x5b99243d,
+    0xbe8935f3, 0x3121b5a4, 0xb66496cf, 0xd0d0f053, 0xbae5dcc0, 0xaf5d5980, 0xdf379f3f, 0x3ae5b1d0,
+    0x948fa2d3, 0x3664924a, 0xd59eaaa2, 0xc11abcae, 0x6692f825, 0x0563a51c, 0x3c341e41, 0x9b4850e7,
+    0x007d3abe, 0xc135aa5a, 0x60c36bee, 0x06479715, 0x99efd83a, 0x5e1b978d, 0xaa1d9404, 0x26b00b9f,
+    0x77f7cd55, 0x6390d4d1, 0x68189fe1, 0x1fde45df, 0xcde3d027, 0x7a88a545, 0xcbcdc191, 0x2115bfd9,
+    0x6ff2f15b, 0xefd78614, 0x2ed46446, 0xf32dadcd, 0xc5e0da79, 0x9e7a8675, 0x0c5ebae8, 0x99cc6c53,
+    0xd15ad0ca, 0x796b2af6, 0x29f5b17d, 0xf91fdf9e, 0xc0a95b18, 0x5fa6da4d, 0xc7827fe7, 0xc6b30780,
+    0xf5a54258, 0xc3726980, 0x7b22fff3, 0x9d9430ff, 0x6792f786, 0x77be3506, 0x8d3dea02, 0xebc17d40,
+    0x5326adb7, 0xf20c3ff4, 0x7fca3426, 0x9b87a007, 0x5bf86919, 0x96c84c0f, 0xba18558f, 0x7d5a389d,
+    0xc3cbee6c, 0x539003b2, 0xa6021cde, 0x6f6826f1, 0x00296ff3, 0x4b32ca1e, 0x4b9cdbdd, 0x9dd086c9,
+    0xe0e7f5f3, 0x5efb389a, 0xbc78aff5, 0xfdd8e9a3, 0xed818e63, 0x1a02385d, 0x8634fce5, 0x23737593,
+    0x6216396d, 0xc7dbbec1, 0x8b00ce0e, 0xe80d40bb, 0x608f6261, 0x3ccba978, 0xff6bf7ec, 0x7d0fde70,
+    0x6334ea8f, 0x777c3d48, 0x56e8de9c, 0xf4733961, 0x25f2188e, 0x4615dfba, 0x5204989d, 0x6aad573e,
+    0x2e05d003, 0x10cae592, 0x1e4b4ea5, 0x7c194ce3, 0x1f28d6e7, 0x7691ef6a, 0xe7d4ba00, 0x3189e8d3,
+    0x69ec252f, 0x52620b31, 0xb73d2d4a, 0xf7db2409, 0x2b8906f8, 0x1818470b, 0xde8a41e9, 0x47d8ee0e,
+    0xbd05674c, 0x7a2808a0, 0xf2275912, 0xef5f7c27, 0x79f733c3, 0xd4153336, 0x057cf53d, 0xd1a9f38c,
+    0xb53139bb, 0xf4a042df, 0x42b9342d, 0x0d776ad5, 0xd7cde81e, 0x9593735a, 0x236a3ecc, 0x15533ce8,
+    0xed1d25a9, 0x75241c82, 0x8800c51e, 0xd346a10a, 0x2f4be859, 0x3bcab0cc, 0x7178ace9, 0xe7c1a602,
+    0x00000000,
+    0x2ae0c5c0, 0x9af02162, 0x187a62f9, 0x49537f7d, 0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2,
+    0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000001367031702989382452732\
+                          81389194851335334573089430825777276610662900622062449960995201469573563940864 */
+  { 0x00000000,
+    0x8e6c620a, 0x43551f46, 0x02401fbc, 0xfb9d67df, 0x91571244, 0xd24e51c2, 0x0591822e, 0xc44ea49e,
+    0xd04b4cc7, 0x4cccaade, 0x70063e92, 0x131dca9b, 0x0f3dab26, 0xa75e3e6f, 0x358f253f, 0x3ff91479,
+    0x6cf90c8a, 0xabe39132, 0x075f94bc, 0x18b60704, 0x92d0da97, 0xe609d28b, 0x9fbdad49, 0x715b1bff,
+    0x32a1ac8f, 0xad564737, 0xe7f3fbe3, 0x5fa37824, 0x1d8f05d0, 0x9072f0de, 0x8e64f77d, 0xd2439893,
+    0xd2b37cea, 0xd1988024, 0xe3b005c5, 0xc2214830, 0x640de220, 0xba9689e6, 0x2434f60b, 0x124ce953,
+    0x7ac81303, 0x38fecf0e, 0x47a030ac, 0xcd866669, 0x38c5ba19, 0x2e8e02da, 0xa1e1e1e5, 0x250fd6f0,
+    0x891be438, 0xe58a4f29, 0x56818ed6, 0x2388791f, 0x55349a70, 0xac74b891, 0xd2c163ae, 0xf70bbc77,
+    0xeabe6b3f, 0x563b41e1, 0x8adc3500, 0xf70f1da4, 0x7000e663, 0x6281dc8e, 0x9b7672f4, 0x95ce8b69,
+    0xd84eae89, 0x88d9d20c, 0x77e5fcaf, 0x2572deaa, 0xbf28630f, 0x0839fe75, 0x7ec1bc5a, 0xf9373ea5,
+    0xc11cc159, 0xe5ee4492, 0x02bcc980, 0x4b7fc609, 0x94f2a48f, 0xeaecdb9e, 0xfa3d394a, 0xc4d6a0b1,
+    0xb04c5978, 0x6da3ffa2, 0xaa13c816, 0x51e295a6, 0x220d0188, 0xf1c43273, 0xe298da04, 0x9865ed11,
+    0xe778f6a0, 0x1eb69a07, 0xfda48638, 0x39871910, 0xfca2afe4, 0x2797f1e1, 0x13041515, 0x79f31cf6,
+    0x5d8f5453, 0xb001781e, 0x89825b1c, 0xf645a601, 0x4a71f3be, 0x41cda173, 0xf9e171fd, 0xa410bb7c,
+    0xdd168002, 0xf8d4f465, 0xc2c803e5, 0x7035c613, 0x31f1d550, 0x801dbb9a, 0x0e97967f, 0x01293bc2,
+    0xaa254a49, 0x154a0f77, 0x74dd07c4, 0xa9163ae4, 0xdce8ff09, 0x2aeb146d, 0x0879773f, 0x19286c2b,
+    0xde310aa8, 0x68824dca, 0xe3931625, 0x0de98fe2, 0x9be6f992, 0xf72a65c8, 0xa8387123, 0xf956adf2,
+    0xb9be3e6a, 0xbd7580a9, 0x88fc5584, 0xe8f4a1ca, 0x44f92297, 0x1be2adc3, 0x0ba73298, 0x2d6f6135,
+    0xac2e51b8, 0xe8bd7543, 0x6a69c0ee, 0xb0788d50, 0xb387e89b, 0x593df110, 0x80790c2f, 0x482681c3,
+    0x80904c7a, 0xda99e7bb, 0x4d5dc21d, 0x282f13b0, 0x988c185a, 0x142df146, 0xbe60d4f2, 0x6db275c6,
+    0x9e97c413, 0x2cc6dad7, 0x8188ec0a, 0x8b77dda0, 0x6afd6835, 0xdf25f2c2, 0x490d9f96, 0x424ba350,
+    0x0e3747da, 0x70ca52e5, 0xc760f4c2, 0xdf14bc3d, 0x8384a28a, 0x15183e42, 0x4377b272, 0xf6908981,
+    0x00cbbcbb, 0xe9c7a145, 0x8439e7ec, 0x158c9ab3, 0x6df8e922, 0x88a3dcdb, 0xfea57e1f, 0x315d3d32,
+    0x5ec1c937, 0xc9e46776, 0x6d2b69cd, 0x51de2b59, 0x7b7b4b33, 0x70c8f1d1, 0x414e66f0, 0x0ff778e0,
+    0xf9ae9c4d, 0x21e54d58, 0xf18b1910, 0x819e9906, 0x0bdbf713, 0xebb953df, 0x15554cc2, 0xfedb6ac3,
+    0x8d0704c2, 0x06ab9fa5, 0xe9d6ecca, 0xfcc3632e, 0xa1281536, 0xdc5ac397, 0x4a88bfcc, 0x3684bdab,
+    0x62db1aaa, 0xa7c29d5f, 0x03030e85, 0x548aab09, 0x0ddca3a4, 0x448620ef, 0xf9511607, 0xb1fa68e9,
+    0xa4491b0a, 0xe0480512, 0x901431be, 0xee23c8dd, 0xdd1658f2, 0x5814c93e, 0xcfed9e31, 0xa110fb8e,
+    0x06b5d408, 0xa9503a45, 0x54a88047, 0xfb52e2a6, 0xc4334185, 0x3d652da7, 0x51a3bf75, 0xf12f72c3,
+    0x75a8cac2, 0xa14b39bf, 0x04f5d105, 0x68ba304e, 0xa74e92cd, 0x82a85f18, 0x0917a3e8, 0x4f82c2f8,
+    0x1e664fa7, 0x27c1ba38, 0xe29e193a, 0xb131af72, 0x48e1380f, 0x07fbc228, 0x899c79fa, 0xb9a61f2a,
+    0xdc076fc2, 0x7a6e231b, 0x047585ec, 0xc59f45ac, 0x2e6aaab5, 0x4e937117, 0x9dd4f764, 0xa4de2c44,
+    0x0945f228, 0x9ab8f8d4, 0x5ee0d8fe, 0x76f17506, 0x6bd8776f, 0x22346ad4, 0x4bc8edb0, 0x1d737e30,
+    0x0e8d555c, 0x98a84f72, 0xb3d55760, 0x8f0ff6d3, 0xe4d0ce32, 0xedaaa7a8, 0xea727a06, 0x83a9bb54,
+    0xce0c233b, 0xe3a5ecf8, 0x538f0afb, 0xefd6bc03, 0xa3affa5a, 0xf6408e6c, 0x2452e116, 0xd2846b78,
+    0x82b863d6, 0x098b769c, 0xe0e474e7, 0x38da1c75, 0x94de07a7, 0x21c57e16, 0xbc896148, 0x42a8f795,
+    0x6ac970cd, 0xfa79cfd1, 0x6db69031, 0x37e7a52f, 0xe124ef08, 0x7e04b0f1, 0xe2c5f7a7, 0x91b7e31e,
+    0xa9ee4136, 0xededc53c, 0xc0c68027, 0x14dca235, 0x6809aaa2, 0xe48a71bf, 0x5c3e651b, 0x7f7d36fb,
+    0x0276ab27, 0x6326cf1a, 0x593962b3, 0x8c96ee20, 0xbe706bca, 0x956626b1, 0x17d44d0e, 0xd6315060,
+    0x3dd8321d, 0x2ffa2d61, 0x7dd0cfc5, 0xca7cc921, 0xac060042, 0xbca86b99, 0x242ac9f9, 0x6dace634,
+    0x8a0c401a, 0x19f4bbc1, 0x9eba27e4, 0x989bd9fd, 0x8ff9210c, 0xee906d46, 0x55fcb2b8, 0x8a539eac,
+    0x8ce3f797, 0x62d20815, 0x30a04074, 0xd03be013, 0x37bd9523, 0xdb7bad51, 0x8b2c7907, 0x1495a592,
+    0xb956361c, 0x44faefd8, 0x41aca05e, 0x24857c30, 0xd1f96355, 0xfa513df2, 0x2f256b6c, 0xe2456aa6,
+    0x2a7f235f, 0x9d2319ce, 0x8d0dbed0, 0x40ea75fd, 0x6d4b82e9, 0xe874492d, 0x0dcdc668, 0x55530361,
+    0x3551a9ef, 0xc4a6d48c, 0x5d87fbb5, 0x6f2f99d3, 0x1bbf16cf, 0x5a8d97d8, 0x40c330e3, 0x26d69948,
+    0xb469886d, 0x1646072d, 0x20e8ae5e, 0x6f05c8b3, 0x6b0080a4, 0x84c641a3, 0x95ef2f25, 0x9079d53f,
+    0x64d3110c, 0x90ea2b15, 0x1aee2ffb, 0x8541469a, 0xe78fdfd5, 0x2e350c8b, 0xdbc1ff27, 0x36d5bd1d,
+    0xc2a95f11, 0x181d2633, 0x7f40951b, 0x37348e5f, 0x96e10367, 0xf0996b3b, 0xd8137351, 0x8d4b1904,
+    0x87c43508, 0x87203f20, 0xc4345b16, 0xe0ccc8f4, 0xcdc757e6, 0xdafe6080, 0x05215309, 0x1680ca41,
+    0xf4173626, 0x725b0ba8, 0xd6827539, 0xb90c2c13, 0xa9c00c21, 0xa8a1a6a8, 0xa02a85e9, 0x2da78d6c,
+    0x768e48ac, 0x15e55f76, 0x7703836d, 0xab785c8b, 0xc029aaa0, 0x4415f760, 0x7c9df478, 0xdbc459fa,
+    0x60410030, 0x0ba52cc8, 0x14e5e0e9, 0xfad8ccb8, 0x07774cee, 0x88f17ae4, 0x56eb629a, 0x33c957eb,
+    0x6a1a6405, 0x36594eb9, 0x6ef9989c, 0x69894565, 0x18410292, 0x393ad1c9, 0xb9eca06a, 0x1d79a5ea,
+    0x74b5c1ca, 0x5062e361, 0x6f7dbc36, 0x10556ac9, 0xab39b903, 0x2e78ff70, 0x4e5ebe7f, 0xdafded41,
+    0xb6d7098d, 0x9788016b, 0xcb2fd982, 0x7e0af8d0, 0x7bbff535, 0x34bd662c, 0x532842de, 0xaa56c6c8,
+    0x634f2a68, 0x370f797e, 0xe6266f30, 0xacc99515, 0x66b51a51, 0xdd42f186, 0xfb120897, 0x585f2cff,
+    0x82830b5b, 0x3f135ed0, 0xf457cf86, 0x2816df22, 0x9a5e31bd, 0x0b7ea1f9, 0x4f572804, 0x5db7763d,
+    0xee47a1a8, 0x8641b281, 0xbb697c9c, 0x5df1324e, 0x9517369d, 0xa6a4f2d5, 0x338821ef, 0x63d5fb27,
+    0x60728350, 0xa254684d, 0xa39395b6, 0x47e84adc, 0xf57ecfd4, 0x41936253, 0xac58b085, 0xbb947d26,
+    0x1b1ec3c4, 0xa6812769, 0x7e3f70c9, 0x44279658, 0xe6fdb4e4, 0x8ebee287, 0x8d32723a, 0x07486ef8,
+    0x7ff5d232, 0xba8d4759, 0xfb21fc13, 0x3be17884, 0xe5becb2b, 0x220d6067, 0x0fde5e3f, 0x6a1106e8,
+    0x6f102c44, 0x26a944a2, 0x3a2b7733, 0x111b46f9, 0x48006ff2, 0x51c83baa, 0x0a59e048, 0x1b9919a2,
+    0x3b586d81, 0xab7ead4a, 0xb42f1fba, 0xed86878f, 0x35e13d60, 0x90895389, 0x83a91361, 0x46f599df,
+    0x0eaee499, 0x3591628e, 0xc904764a, 0xc6a3c445, 0x72b171be, 0xec98240d, 0xf7e95b01, 0x971be68e,
+    0x0f014cd3, 0x21dfc9e6, 0x908629a2, 0x0717d5d1, 0x408b7501, 0x4d668da1, 0xe1c839d1, 0x39f27ade,
+    0x0b1c147f, 0xc8406bc8, 0x648c687e, 0x31d00091, 0x631c9504, 0xb1484086, 0x7bac79d0, 0x273c6339,
+    0xb3118e87, 0x3f7f1334, 0xc2c3f580, 0x778280ad, 0xea865b6c, 0x491a5702, 0xb093cc08, 0xfe82710d,
+    0x96750a8d, 0x9ce189a7, 0xee4d19b4, 0xfc4ffeea, 0xbc116b88, 0x78bbc281, 0x49e85f65, 0xd8a21ba7,
+    0xc4c8e315, 0x2b361f45, 0x0fa4e3de, 0x0fe569c3, 0x3afe054d, 0xffbffbe6, 0x70fb4b18, 0x39233567,
+    0x6b44bd9a, 0x19bcf9d0, 0xe7ad5a7b, 0xc6404251, 0xfa45b451, 0x7f59708d, 0xbafcccbb, 0x7fa79536,
+    0xa1088fdc, 0xd4b18b61, 0x52b7f5b6, 0xa8ff2c4c, 0xeb9e00dd, 0xdf848de0, 0xdd030ef5, 0xee19c40a,
+    0xc5d930d6, 0x495c1010, 0x38a8ce32, 0xbd0a189a, 0x0034d0ec, 0x470778a6, 0xe26f2783, 0x60991951,
+    0xca35ced3, 0x2a4a7b8e, 0x3879e993, 0xec64a5b1, 0xa5a2a686, 0xc07c9af8, 0x6b25f2af, 0x27dcaf86,
+    0xad9cfe31, 0xcd9dd534, 0x30c767b0, 0x845e36dc, 0xde3ff375, 0x6d65f736, 0x2491805b, 0xa8901f8d,
+    0x5014bb03, 0x1ddbb1f8, 0x8a044dc4, 0xcd6abc44, 0xeeb458d7, 0xd8578931, 0x0077e63f, 0x8d1e7d0c,
+    0x807c0930, 0x274cacae, 0xaa326d2e, 0x10a539c3, 0x4ca8e0d8, 0xa227b574, 0xc13b4fcb, 0xec0f7a25,
+    0xe29f1789, 0x94658888, 0x209f059f, 0xa7ef60f6, 0x76118420, 0x900be940, 0x80acbdcf, 0x355de814,
+    0x7e5b5449, 0x9397e749, 0xd73b2ea7, 0xada27252, 0x3bb25e1c, 0xd7efc6d7, 0xd4ea1295, 0x63735b62,
+    0xa118e177, 0xfbd4195b, 0x247664a5, 0xb82419f8, 0x71b81363, 0xbaa62a2a, 0x0824c2f1, 0xae19e3ad,
+    0xa10c73f3, 0x3aca6645, 0x3ba7b980, 0xc2221c41, 0x24d2e82b, 0xa62befc7, 0x07fa8d73, 0x8f9e72cf,
+    0x17dfaaa6, 0xcbb52510, 0xb4fded5f, 0x12018763, 0xdd6975f9, 0x1441fa37, 0x4fe8894f, 0x327bdbdc,
+    0xb5b4ac0a, 0x068eb18a, 0x3a61c357, 0x0247ccd8, 0xfa9a4f03, 0x45b215a2, 0x6c6fb6a3, 0x9c83dbfa,
+    0xd570d4ae, 0x09275faa, 0x3051668c, 0x75d4c841, 0xb4c39335, 0xc248a1dd, 0x95743a9f, 0xcea3c493,
+    0xf7d8843c, 0xddaadecc, 0xa204785f, 0x27df59bb, 0x511e3403, 0x6f382d92, 0x761fba4f, 0x98c054fc,
+    0xc9757351, 0x75b0fc53, 0x182cef3f, 0x41ee453a, 0xd4038895, 0x5ea702b3, 0xedcec9ff, 0xb5bdebaa,
+    0xca732a71, 0xbfc3e425, 0x1fc70e1e, 0x5205cda6, 0x1b6a62eb, 0x8298e71b, 0x37c8b7a4, 0x20f93ebd,
+    0xc2d0714d, 0xab94cf28, 0xdd6d7c97, 0xa9017432, 0xd582ee19, 0x411af8f2, 0x258ad07b, 0x71ec53af,
+    0xfca8e8b8, 0x29a45c43, 0x89508a26, 0x1cebf2cf, 0x3257b7e6, 0x5308e3c2, 0x5ac6f1de, 0x46e66da6,
+    0x744f2ca8, 0x24bb932e, 0xb0cf9b73, 0xc3a1592a, 0xd91859f8, 0x31c72a1a, 0x8673afb4, 0xd7a9365d,
+    0xc28a82f4, 0xe4c09daa, 0x8a6cdac6, 0x99c1f283, 0xf0807a82, 0xa110df96, 0xab29a025, 0x665c0820,
+    0x8a48791a, 0x103cdc12, 0x87f5683a, 0x1bd9e193, 0xae94e82d, 0x188b8fc7, 0xcbe8ff9d, 0x24bf9236,
+    0xf821f6aa, 0x8ace899a, 0xa5a799d2, 0x8c42a351, 0x3a2fb9e3, 0xeec018f3, 0x7631512f, 0xeb5e28cf,
+    0x4d362f6a, 0xe8096b5f, 0x6433c51a, 0x642534c4, 0x15ae098c, 0x122f1a0f, 0x5b03697e, 0xe243170d,
+    0x8351bba7, 0x6a1e4ab7, 0x40c7a72d, 0x68523f1e, 0x67beaeba, 0x10957f98, 0x0af150a5, 0xd4cb50f1,
+    0x9dea386e, 0xf0797186, 0x33263198, 0x0bef826e, 0xf0757333, 0x1492f225, 0x2d0f6538, 0xdcd2f7a3,
+    0x7b0928c9, 0x43c4fa10, 0xe692b51d, 0x9b8f36ab, 0xdf67d671, 0xed19b1a7, 0xce63adae, 0x6fd73d29,
+    0x0de86073, 0xa285436d, 0xa60f8116, 0x919ea2a2, 0xf47c6dda, 0xdf0584d8, 0x5d91f27d, 0x640cec74,
+    0x98c755f8, 0xa8ee8835, 0x70853fc6, 0x978eee9f, 0xa14a72fc, 0xb96e01cb, 0x1051aac0, 0xdd27b226,
+    0x9ceb484d, 0xe02ffe28, 0xf95780df, 0x88010632, 0x3d0b18d5, 0x399fc2b2, 0x6c2d629f, 0xf7961ca9,
+    0x48e6a1c6, 0x243c724d, 0x01b2b30d, 0x3cc07ec8, 0x711b98cb, 0x79c0003b, 0xa8efab25, 0xe167908a,
+    0x15fcfab6, 0x1e3a984e, 0x1eeeaa5b, 0x75ee0094, 0x1945e51f, 0xacede364, 0x87ea1e1f, 0x4a08a0a6,
+    0xbed803cf, 0x72dab04a, 0x39817cbd, 0x4aabfe9e, 0xaa59644b, 0x627fc9c1, 0xd7fd6ab2, 0xfe6f5ed2,
+    0xf54ef7ae, 0xdfd6e77e, 0x3782d78f, 0x84b60e52, 0x4bad9641, 0x5a54680c, 0xa0d35eca, 0xa839629a,
+    0x594c5ff6, 0x381ca4dc, 0xa7a8757f, 0xb9a85459, 0xe4a44426, 0x51f632cb, 0x37a588ce, 0x38a0bd91,
+    0x627b2153, 0x7f286aa6, 0x4903215a, 0xfd72ea80, 0x96f35777, 0x6b1d4168, 0x5085a96f, 0x06eedf6b,
+    0x107a7b91, 0x3ced45ef, 0xe23efe02, 0xdfdc2ae4, 0xfdffac70, 0x07efacc2, 0x3ef25a44, 0x06e1d8b6,
+    0xe702e158, 0xbb951ac4, 0x2ecc6f54, 0x1fc47084, 0xb5a1eaa6, 0x15af7128, 0x226ecf85, 0xa98b514a,
+    0x5a0c3b49, 0x2c66ce8d, 0x294bea84, 0x4ab821c4, 0xd94428e5, 0xab9fe665, 0x41b6cc68, 0xcc232fd0,
+    0x4bde64d1, 0xa4979766, 0xee92fb93, 0x6cc27c43, 0x8db2473e, 0xd330b1b9, 0xd40159f6, 0x8c28491f,
+    0x232314a0, 0xe117f556, 0x547eea82, 0xe58c2577, 0x57f464a5, 0x4a0c60b0, 0xb3347e5e, 0xa3a97f67,
+    0x4799c8ba, 0xba2a261f, 0x2b94fe01, 0xf3ae898b, 0x1fe0100d, 0x7bb1e5b8, 0x967b97d0, 0x822a2b00,
+    0x974d25b6, 0x5042d37d, 0x0745d54d, 0x6d619285, 0x27ce0285, 0x3a838bd2, 0x3ccb3584, 0xa2e24593,
+    0xeae9e4c0, 0xcffe912c, 0x72c48a0a, 0xc7315ffc, 0xa8ee5362, 0x483b1347, 0x526e5998, 0x92cb338d,
+    0x380f4b64, 0x2991c92f, 0xf8f85b51, 0x559e4a4c, 0x7e2ec2f6, 0xff20e83b, 0x1f12da19, 0x43c79e98,
+    0x7938ecdc, 0x5368082b, 0xf48d699a, 0x3899d723, 0x229ad898, 0x7f891b25, 0xca72bec4, 0xd7f74d6d,
+    0x6f508ede, 0x50745f6a, 0x64397e86, 0x1018cefd, 0xbed6055d, 0xabe340f6, 0x57153439, 0x50ec8219,
+    0xcc22c433, 0xa3069ac6, 0xa3f2aaee, 0x16ff5a66, 0x1562cf4a, 0x31901bcd, 0xbf080caa, 0x53be97ee,
+    0x1ded1439, 0xd2a21e28, 0xa7944a84, 0xc96d3977, 0x66b59302, 0x7a34f7ac, 0x12d9cd11, 0x1e3423c9,
+    0x39c498a6, 0x65a5e394, 0xc64fa3d9, 0xa5b88ce0, 0x195918a4, 0x6ed02609, 0x7ae13f65, 0x84934a2d,
+    0x8b70ee2a, 0xa28cb7c0, 0xa22bfd12, 0x664f0fa4, 0xd5243f61, 0x8b82edff, 0x7e8af964, 0xa5e6cc89,
+    0x8038de23, 0xe77ec3a0, 0xc01f9171, 0x5bc9b45a, 0xf4320dde, 0x1673b3dc, 0x15e79ab0, 0xca6ca860,
+    0x9b5ee585, 0x6c539afa, 0xb64d4332, 0x80d5f793, 0x7744db3f, 0xa8a42846, 0x95bbd779, 0x069c2386,
+    0xd08dc7b6, 0x1da1321b, 0x2e19e01f, 0xfe80de1c, 0xbae67707, 0xbacdb836, 0x7b950268, 0x04873292,
+    0x8860bb6c, 0x2a48ccdd, 0xc3cbcb99, 0x0e92ebc3, 0xc4067f22, 0x6470849c, 0x7f3a32d2, 0xd2f9f766,
+    0x31120b53, 0x3ba11c69, 0xb86f8cc3, 0x043cd4a4, 0xaf4e05a3, 0x821e42ad, 0x88e4198c, 0x6c6d2771,
+    0x24628ee9, 0x939ff0d6, 0xead7f41d, 0x0ed72ab9, 0x98fbb7ac, 0x04957312, 0xb2bb2a7a, 0x5b7ea75b,
+    0xf3d59c64, 0x04940cfd, 0x4839504b, 0xefaa1f4a, 0xe1a2168a, 0xd74141cc, 0x6d6b3364, 0xf393a7f3,
+    0x00000000,
+    0x157062df, 0xcd7810b1, 0x8c3d317c, 0x24a9bfbe, 0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059,
+    0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000683515851494691226366\
+                          40694597425667667286544715412888638305331450311031224980497600734786781970432 */
+  { 0x00000000,
+    0xe612d319, 0x4da535be, 0x9eb660d6, 0x16eb00af, 0x51a8d18f, 0x394c9600, 0x172b375a, 0xdefe1ff0,
+    0x773ee123, 0x35b0d630, 0x40de23a7, 0x5a7a4c5d, 0xcbedf9ab, 0xc792bc40, 0xa12505ce, 0x42bdb5f8,
+    0x59baaeb4, 0x4b7cb4f0, 0xa23b046b, 0x91d15e08, 0xb8f01a1e, 0xd7b7aa1f, 0x8ef6da0c, 0xfc53ef40,
+    0x40fe201f, 0xdd4d8c2f, 0x8837becb, 0xa53396c2, 0x77f68df0, 0xb5d5b810, 0xb72b5093, 0x6d2b44d6,
+    0xa0ec5740, 0xb09851e5, 0x5c8e77ce, 0x5aa92da6, 0xc03c5d31, 0xff3b74bf, 0x87517fe0, 0x3fd28aa6,
+    0xb94773a8, 0xaccced8a, 0x6b087e0c, 0xf9f36880, 0xd0f7ed6d, 0x7d84ef83, 0x756f443b, 0xb3d3f92b,
+    0x5cdc6226, 0x6d76c7a2, 0x077c08a8, 0x5e3ab1f8, 0x4d96095b, 0x0aff77fc, 0xd1819689, 0x0256cd33,
+    0x68b6f81e, 0x3c3e8284, 0xfab015c0, 0xc4350cf9, 0x69034d40, 0xce1a525a, 0x053a9bc9, 0x064eb358,
+    0x815b39a3, 0x67f74924, 0x9eff295e, 0xf6159288, 0x50d4bb9c, 0x15aaf0b0, 0x7b7b0f59, 0xf0c7b5db,
+    0x8642c280, 0xa4d2ac6d, 0xbc548c8d, 0x21e3f129, 0xc14d70d0, 0xa42d838b, 0x5c63a596, 0xb81be6c6,
+    0xba54e9de, 0xb42250db, 0xee56891b, 0xbd5cde76, 0x778c5db2, 0x70f15370, 0xc0e2fadb, 0x368f2d20,
+    0x39fb0a88, 0x50add7c3, 0x346036ee, 0x3363510f, 0xe3ee7b44, 0x7fbc9eab, 0x5e9ac4dd, 0xc81dfd93,
+    0xa1a5a23a, 0x651f92d6, 0x7848283c, 0x90c6d6a7, 0xddbc17c7, 0x2e0e9e37, 0x6d8ad429, 0x9d1fcb1e,
+    0x88607902, 0xb8cf695b, 0xee80ea6f, 0xcb6ad187, 0x728c0455, 0xe026ef82, 0x47720a9f, 0x067c132a,
+    0x50cd0c4e, 0x3e7260a9, 0x7d5b33ba, 0x54052bfd, 0x08e99295, 0x7eda7312, 0x7d80a3d0, 0xae605a56,
+    0xc30930fb, 0x7d86d672, 0xb174d0f2, 0x813b3f34, 0x6d3970b0, 0x18b4c460, 0xe8155896, 0xfd3f5471,
+    0xd98f6226, 0x8b2b8590, 0xe7182a4c, 0xa0b1157c, 0x398c44e3, 0xfee61f1b, 0xa5e4f1ac, 0x5bb1c601,
+    0xe1d3ee8a, 0xd78499cc, 0xe52b433e, 0xeab6a0df, 0xa326ab08, 0xd6b82743, 0x31edff43, 0x34d34584,
+    0x466869ef, 0x84d64481, 0x9ff9b08a, 0xa968c80e, 0x6207a8f1, 0xbe80b441, 0xe0b6f556, 0x72baf18a,
+    0x283de74c, 0x50571556, 0x4a50bd7e, 0x1c84461b, 0x3b69594a, 0xe6810b38, 0x43b97927, 0x7b5d8c91,
+    0xd0e4e1d4, 0xb368808b, 0xcec3ca97, 0x1b8a39d8, 0x17cb26ce, 0x363d1e86, 0xaf23a777, 0xc6132d10,
+    0x0d5375f6, 0x675b168d, 0x03615ff5, 0x7bf07480, 0x949b76b7, 0x697650f4, 0x27a104cf, 0x5c939301,
+    0xfb2e1244, 0xca457ec0, 0x46e51d37, 0x61f55e2e, 0x22b5e6fa, 0x7ac10796, 0x03420242, 0xf47d82ca,
+    0x489c7448, 0x60a2b670, 0x9a2dd51a, 0x3c08109b, 0x4491c126, 0xe318d530, 0xfe0eb0a2, 0x773ade3c,
+    0x174f8959, 0xf16399b9, 0x0be40ee7, 0xc6910aff, 0xac8274f6, 0xc179a685, 0x5ac89e0f, 0x858d8455,
+    0x78cfcf74, 0xc30a10af, 0x47a2e811, 0x0b4bde2e, 0x951162f2, 0x884c2273, 0x89b2e691, 0x95489c42,
+    0x5085d9af, 0xa0c1db5b, 0x755de25e, 0xbd1d6844, 0x9bddfd9a, 0xc56d3e98, 0xa3af11ff, 0x0cd61b0c,
+    0xd3ff353a, 0x92db0f49, 0xa971b158, 0x47e47b13, 0xded7d14c, 0xd335fe3e, 0x60784e58, 0xabda2c8b,
+    0x29253d5d, 0x5a42fae6, 0x9d0d1d31, 0xfdd3001d, 0x9f4bd7d4, 0x1fae2b64, 0xa95d8bd3, 0xdfc8868b,
+    0x1cbec976, 0xeb539030, 0xfa8be72a, 0x3effeb48, 0x2188afd4, 0x09f7e58d, 0x3b6c5d4a, 0x607a4ead,
+    0x9c7982d0, 0x8f87ab03, 0x02ffd4bd, 0xd32ff609, 0xc78b5c13, 0xf017e42d, 0xe76518dc, 0x774b15eb,
+    0x679629f6, 0xb2f850f4, 0x0f148339, 0x7688cd4f, 0xd9901fbf, 0x054d66fd, 0x3d8b6102, 0x161329e0,
+    0xcf5cffff, 0x572c3a2f, 0xa1e1f955, 0xe6be8cf0, 0xcc8256f7, 0x335971e9, 0x0743a074, 0x2f6f7f63,
+    0xb23799b1, 0x63d6f9e4, 0x7a762d20, 0xa2acf944, 0xb988d00f, 0xc9734689, 0xaea561d1, 0x43dc9f19,
+    0x6a668680, 0xa5cf4584, 0x76f83ea9, 0x9a3c248b, 0x679116a0, 0x0e69e4b4, 0xb095d40f, 0xc4d697fc,
+    0x3cddaf33, 0xe44c31de, 0xc63420f6, 0xdf610377, 0x709398d1, 0x34183026, 0x13b3f5c4, 0x74f10075,
+    0xff0be07b, 0x2b67f1ca, 0xdd5ebf07, 0x714b7758, 0xd1ccc605, 0x6ca37b21, 0x0da5c8e7, 0x6fad6e06,
+    0x4c0ceebb, 0x8fe316b3, 0x6bb7b6fe, 0xb03fbba1, 0x9efec2de, 0x10efa2a1, 0x0a7ffafb, 0xc29ff8bb,
+    0x3a3e8822, 0x0edcd693, 0x77646437, 0xaaafe22b, 0xea00dbcf, 0x68c8326b, 0x65cc89e4, 0x16662b0b,
+    0x9fb59fcc, 0xf929d2f8, 0x8db2588d, 0x446cf66b, 0x8fc12b0b, 0x82024575, 0x5a266018, 0x8b28cd5d,
+    0x5bfbb984, 0x9cab9f32, 0x1c4a95cd, 0xdaf0abbc, 0xffc948c7, 0x0dfa2dc9, 0xfb5dd2b6, 0x24582fb5,
+    0xf668f5c8, 0x46118c23, 0x767d4f8b, 0x2310f22d, 0x67133527, 0xc931f676, 0x4c82e3ef, 0xfa341f2f,
+    0xee990fcb, 0xb6d0d9b8, 0x9dc896d8, 0xf3bcfb37, 0x7255214c, 0x69e988d7, 0xb7f6e3f8, 0x4a1d8442,
+    0xb8a5af05, 0x8131cdfd, 0x6fca228e, 0x732336d1, 0x56d68392, 0xd003bebd, 0x8d215e25, 0xee4a51b5,
+    0xad15d088, 0x720649a2, 0xcbd41079, 0x3df2f289, 0xba8d521e, 0x1dc13a17, 0x7a71ac7d, 0x1f3cd82d,
+    0xfbcaca9e, 0x5c5406fb, 0x24e7614e, 0x1eb9380b, 0xca3f0e2a, 0xf7513eac, 0x68ea5f68, 0x614a26f8,
+    0x53ef862a, 0xae3d9052, 0xaf12a285, 0xf4fe58b6, 0x74dd0e3c, 0xb43e48b5, 0x02732b5d, 0x1502423e,
+    0x96a5e090, 0x9925d7ea, 0x32a2654c, 0x94f874c2, 0x9089dbdb, 0x699e1579, 0xb8d8df6a, 0x5b44a1f1,
+    0x8e63841a, 0x35c661d8, 0xc7102de8, 0x10609e04, 0xc2b7c653, 0x80612bf9, 0xbc53a5b4, 0x15d9c9ce,
+    0x4d39b3e3, 0x34890837, 0xf3bc0edc, 0x94fbaceb, 0xd7fde5e5, 0x5d492d97, 0xd6d3d2f3, 0x16e285d7,
+    0x96962527, 0x125306dc, 0x8e549ed4, 0x425d4fd9, 0xe0764a38, 0xda39c98c, 0xc8b09b55, 0xfb7dad32,
+    0x916baac1, 0xfa77a749, 0x64e9816f, 0xa0eeeec9, 0x6be89295, 0xf91a194b, 0x68544f1e, 0xa499e260,
+    0x5f2ec176, 0x5feb9860, 0x7eb60ce3, 0x820c6247, 0x6e3291ba, 0xc0e6816c, 0x03c650c9, 0xb8a18958,
+    0x60be5a65, 0x0020fd6a, 0x02e45c20, 0x704582fc, 0x13759345, 0xc67edd80, 0x92b9d117, 0x7316c03c,
+    0x190fbdf0, 0xac1d4977, 0xb795f97e, 0xc38794c9, 0xeea40d90, 0xa091ad27, 0x63063a57, 0x2c6587fb,
+    0xc0e6857c, 0xa0388fcd, 0xbd199205, 0x3f120e3c, 0x22a222e1, 0xd3d42579, 0x4321e272, 0xc0bc709f,
+    0xe34d7a9c, 0x077b2672, 0xa356a9e3, 0xb20933e3, 0x2674b141, 0xa0e7a244, 0xea1d24e2, 0xb8dfb646,
+    0x38d81e14, 0x5da6c7f4, 0x3f884b03, 0xe25b6363, 0xb58ffef4, 0x137ed470, 0x91fac003, 0x0b10b853,
+    0x20fe9cd4, 0xc2e55010, 0x41208157, 0x56547f0c, 0x04fa6cef, 0xa938bd76, 0x1355b8e9, 0x8dc7a776,
+    0xc954458a, 0xfbee397d, 0x89436623, 0x41747581, 0xfd4a5324, 0x29bea2c8, 0x5a82b42b, 0x7135a83a,
+    0x6e774470, 0x9d06b76a, 0x8285c96c, 0x68f52db0, 0x88e9cbbc, 0xa8994fe9, 0x4c924591, 0xa88fe09d,
+    0xd9190966, 0x6c278875, 0xf0776652, 0x8556da56, 0x492c4792, 0x7456c234, 0x81b961f9, 0xa7924400,
+    0xa986f433, 0x5c2aa86b, 0x34347e6b, 0xb6476eb3, 0x3513e06a, 0x43583c88, 0x8878ce56, 0x68f6b9e0,
+    0x208100bf, 0xeb0c2054, 0x9f9f6f6c, 0x362385de, 0x92cfbe82, 0xbc3aaaaf, 0xe9ddaa76, 0x0894badc,
+    0xdef63f08, 0x8dc18e84, 0x8b878947, 0x6bcdec5a, 0x9f6fe980, 0x3fd7d7a3, 0xfa0478cf, 0x81696244,
+    0xa55d6d8b, 0x3c18d86f, 0x45870d69, 0x8118013c, 0xd969ab6f, 0x2a4f500d, 0x79ea54fb, 0x26b290c8,
+    0x94af2121, 0xaa6b36d3, 0xcaaf9134, 0x80761c9e, 0x34412a1f, 0xe20a24a3, 0x8f16b198, 0x8c20ff37,
+    0x0375df2e, 0x04ecc018, 0xcd96bd42, 0x6140d5bf, 0x8f6d5832, 0x66686be1, 0xc7f867df, 0x40eb5441,
+    0x7207fdc4, 0xf46d50bb, 0x3dc4b236, 0x6cc076dd, 0x764eadb0, 0x74592b1f, 0xc6bbf63a, 0x10aec5c0,
+    0x98b397d6, 0x6c3fb3d1, 0x0ded4619, 0xb59243a6, 0x18a9e510, 0x11d0b49a, 0xa07ea769, 0x892d5aed,
+    0x968c0163, 0x69559069, 0xa3dd0ab4, 0xb1cd2f65, 0xc3079282, 0xa0dcba0f, 0x4def0f6d, 0xc7476d3b,
+    0xfff75e62, 0x3f8c1316, 0x74c1146a, 0xb602d011, 0xcf390cad, 0x6551234e, 0x89edad43, 0xa81df49d,
+    0xd9e178ca, 0xdb17e670, 0x704889bd, 0xe4f1c952, 0x8fe24c8a, 0x9fa8ae59, 0xe3c75b64, 0x7bfdbb90,
+    0xa1bd1af8, 0x3043c275, 0xfab17634, 0x21ffdce9, 0x9977ab86, 0xac4b7339, 0xe550a839, 0x6fa040a4,
+    0xe95e6ec2, 0xadef902a, 0x64938d38, 0x90212db4, 0x7c46651e, 0x8913b3ec, 0xda444e16, 0x93662fe8,
+    0xe98cb5ab, 0x41bf75a3, 0xc83a2a0c, 0x1b58285e, 0xc576884e, 0xbf53ec09, 0x69be2d92, 0x6ba4687e,
+    0x71df3888, 0x89848d01, 0x430e2a45, 0x71df591d, 0x3cda7078, 0xff295bcb, 0x04253e91, 0xd98d1612,
+    0xa60465e2, 0x49fc470a, 0x3ee650b6, 0x2a4e40a7, 0x036b913b, 0x8dba58a5, 0x584f1ced, 0x8134e2a2,
+    0x02b296fe, 0xa6deb3b9, 0x93b6e8e3, 0x497787d1, 0xbe312945, 0x321c8c35, 0xec5b2d40, 0x06c8d0ff,
+    0x7bf99b93, 0x29728f39, 0x9378fac5, 0xb125ab3f, 0x670274d4, 0xa5933945, 0xdc3fb58c, 0xdd8e1af1,
+    0x8e8dd449, 0xee076845, 0xb4730fcd, 0x3514f5ae, 0x5f938e1f, 0xda6364f0, 0x22fcd6e4, 0xa2511b84,
+    0x4249c088, 0x0911e1ba, 0xa50f8d72, 0x15a81848, 0x1c8debcd, 0x07145bfe, 0xbd89e54d, 0x3f929286,
+    0x23a7fb19, 0x29622b08, 0x47ffa73c, 0x16f2a181, 0xaf6d5399, 0x731f6de8, 0x141fe37b, 0x347890ed,
+    0xf4b49fd7, 0xaed85179, 0xa2663244, 0xb7ff77a1, 0x7d2413c4, 0x3fda8bc4, 0x502977d7, 0xa23ca5a4,
+    0xfb04a640, 0xde109998, 0xf8f9a92e, 0xb39479fe, 0x086cf09c, 0xfeeafcca, 0x3a70b891, 0x2eb80827,
+    0x80cbe8b7, 0xada9f4f0, 0x7c9f0a2b, 0x229e76cc, 0x6d03879b, 0xe80151eb, 0xf841e52c, 0x4d8e3ea2,
+    0x52ff6164, 0x5823340a, 0x5f296fa8, 0x9d9253ce, 0x915e09de, 0xe2d96154, 0x2faad58b, 0x5aa93da7,
+    0xde45c331, 0x412e6caf, 0x3b07feee, 0x7ef90936, 0xb399c9c8, 0x66ef13a2, 0xce846fbc, 0x3177b5c9,
+    0x8ae087f7, 0xf534688f, 0x6723ae4b, 0x0f1728a6, 0xeb05aeaf, 0x1ebf564e, 0x86ac288d, 0x964ec147,
+    0x83125bb6, 0x15c24437, 0x0ff84d2f, 0x75bd34bd, 0x5b11f0a9, 0x09a1d5e8, 0x51505981, 0xd0bf63ec,
+    0x6f4db204, 0x8a61a185, 0x58b7ca37, 0xf6b57892, 0x79900dcc, 0xd8d14378, 0xb1b89892, 0x24b79564,
+    0x9c3e25ad, 0xef4c3e8c, 0x1aaf733d, 0xbcb36f1e, 0x67d92c72, 0x17337033, 0x4e171ae8, 0xd52e8a0f,
+    0xb8d029ce, 0x921a17b4, 0xb973af6b, 0xeb6b1515, 0xd26a84ca, 0xf6a74f1c, 0xa6825e35, 0x33dfe97c,
+    0xf0a7d0c3, 0xdc316bda, 0x470fb0a8, 0x69159bec, 0xa8cb9752, 0x501bf545, 0xae719cb6, 0x27c63199,
+    0x9dc45b8c, 0xdeb61b32, 0xe4621cc1, 0x7c98cf65, 0xb6ab04a9, 0x45848cc1, 0xe1fa2a70, 0x72b1372f,
+    0x07c9988a, 0xf152cd8b, 0x4aeefe60, 0xbc9479c5, 0x4264ae78, 0x43f57dac, 0x9ca2cdc0, 0x0c359408,
+    0xf19482aa, 0x17817449, 0xeaf899d7, 0x1127ea9c, 0xeef480ab, 0xf8e4f875, 0x7950da70, 0x75fa72bc,
+    0x9ad15ca9, 0x5e8e477c, 0x78b6e84e, 0xae48110a, 0x7a80eaa3, 0x2379eb56, 0xa913d1d8, 0x9f13ad30,
+    0x9a2c45d9, 0xc1d6fd76, 0xb1681506, 0x8801d7de, 0x8734b55e, 0xfb01d0b7, 0xb4622c6c, 0x1fb25c65,
+    0xda52ac71, 0xf1838f32, 0xa9971fbf, 0x663587c3, 0xca70f615, 0x0632232a, 0xe89d8ed6, 0xf83d64bb,
+    0x1537e3af, 0xc3c85c95, 0x80cd96c6, 0x1eb7d2a9, 0x65dfdd3f, 0x758513ed, 0x60d1b8a6, 0x18829ec5,
+    0x70b04603, 0x0be4a78e, 0x2c45cc7a, 0x5439f780, 0x58b92328, 0x6c5d35df, 0x563cf9ef, 0xa2cab4a0,
+    0xd974247c, 0x1f030169, 0xc2998e81, 0x9e8ce030, 0xdcad9336, 0xd74fb617, 0x2c4f7414, 0xda066e24,
+    0x79aa86ec, 0xbad4ac17, 0xd1d7afee, 0xc96ec617, 0xc88b70fe, 0x5654b1be, 0x138173ed, 0x1cfa82d9,
+    0x4b4261cd, 0xdbf4611f, 0x7c901b8a, 0x81d2d47d, 0x84e3f4fc, 0x89f5c135, 0x880a45ec, 0x794b3b0b,
+    0x73854dac, 0xbe2cbe47, 0x8be6c65e, 0x134bc178, 0xceab72ee, 0x00b804ef, 0x86d505c7, 0xbe282e6a,
+    0xd6bfc654, 0x7c92af48, 0x1fd1c906, 0xf7f935a8, 0x4888f158, 0xc2bd227c, 0x72c58931, 0x4c27d771,
+    0xc21c7afb, 0x5134ae0f, 0xbb83bbc5, 0x444decd2, 0xdfe35aac, 0x9c0b8a9c, 0x61404382, 0x55477faa,
+    0x4f10160c, 0x28dd73c1, 0xc686a065, 0xdaac9ad8, 0xcd97d3e1, 0xac7d06ba, 0x44c61129, 0xf72758e3,
+    0x8dee9e12, 0x60f35429, 0x1877a93a, 0xad0e22b4, 0x094df189, 0x5b5b9793, 0x127dc107, 0x15ea5f38,
+    0xee7c6c61, 0x69bfa848, 0xda6c7221, 0x7401c744, 0xc18e5788, 0x6d484a5c, 0x32527bc3, 0xc0a83e67,
+    0x2f6425e1, 0x04a5564b, 0x3dd098e4, 0x20f96a68, 0xf54222cf, 0xa6f48d06, 0xa89b6b0f, 0xa537a444,
+    0x27ac9ad7, 0xe84718d7, 0x11b1a65b, 0xce387d3a, 0xadaddd57, 0x966d5577, 0xb3012fce, 0x67f50418,
+    0xbbf9a74a, 0x8ebfa6cf, 0x4c0d3ae1, 0x92ed25b2, 0x46d08884, 0x410de9d8, 0x5ff63c2a, 0x28236d7a,
+    0xcabd892e, 0x4b4a7de6, 0x6f8f992b, 0x631c698c, 0x186ed3ba, 0xbeecac1f, 0x8d33a655, 0x97c85c34,
+    0xc19468ac, 0x55b2e824, 0x01995417, 0xa9b8a6ff, 0x074da4e3, 0x16041dc9, 0x40354c55, 0x1791206e,
+    0x48e56e78, 0x6fa0e317, 0x46f57ca3, 0x976c2bee, 0x1ee5d43f, 0x95677dc4, 0x3f944006, 0x52254fbf,
+    0x758f8a35, 0xedaa75bb, 0x25d9e06c, 0xe9009a05, 0x3d4a864f, 0xfab0a847, 0xc802f4d8, 0x2bfd9584,
+    0x9efdeb2e, 0x7d18e3e1, 0xfdc7436c, 0x87d09ca6, 0x6d60ac8e, 0x2c75998c, 0xe568fbf5, 0x24ed04da,
+    0x902a7d3c, 0xed46f606, 0x16b668d4, 0x52d4be93, 0x03418ac5, 0x029540bb, 0xdb9fe401, 0x809b5e6d,
+    0x0f075a17, 0xba28b5bf, 0x5e272d63, 0xd7b806c6, 0x64e07b75, 0x4a080a67, 0x52ceb8df, 0xf09b82ce,
+    0x457d77d0, 0x655bab2d, 0xaf6a035b, 0x39450ce6, 0xb4caae76, 0xaabfd2f3, 0xc614dd71, 0xe0ebd69f,
+    0xfa62f3a2, 0xaa787e4a, 0xed977439, 0x7fdbc8e4, 0xb8e2d7eb, 0xa7b504b5, 0x360825fc, 0x1b516b01,
+    0x3b3371a7, 0xda6b19e5, 0xb5a204e0, 0xdf5d97ca, 0x4f1351e4, 0x520429e7, 0xcc35ebbb, 0x16dde237,
+    0x8f313362, 0x456f4cf1, 0x252ab913, 0x7c4aba12, 0xe2ee7c60, 0x178a91bf, 0x52ee7909, 0xc8e95ce3,
+    0x64d5759a, 0x1f93532b, 0x347ee2cb, 0xffd60232, 0xac732301, 0x4a282b84, 0xf6124067, 0xb0928bb2,
+    0x00000000,
+    0x8ab8316f, 0x66bc0858, 0x461e98be, 0x9254dfdf, 0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c,
+    0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000341757925747345613183\
+                          20347298712833833643272357706444319152665725155515612490248800367393390985216 */
+  { 0x00000000,
+    0x4d9764f1, 0x208b9960, 0x9c927b18, 0x6d53959d, 0x65a1bdef, 0x7f6728a8, 0x71573394, 0x22a4cb00,
+    0xdeeee393, 0x03501490, 0xfe2266c4, 0xcb65c5d4, 0x815b9ed9, 0xf8c79aea, 0x1726ac9f, 0x3f69a942,
+    0x3d2fde27, 0xe47f6362, 0xac38eb04, 0x5c736e26, 0x6c57ca04, 0xdf45ce82, 0xf020da48, 0xdc83251b,
+    0xb531cab0, 0x33ed3776, 0xb8610aa3, 0x84c3d89f, 0x9dca89d4, 0xb9542a71, 0xee883b1b, 0xfe6f3b4c,
+    0x25a81f5d, 0xc2ef22fb, 0x1b1c9754, 0xeb67fb62, 0x1ea35b49, 0xd60089a9, 0x44b28d25, 0xc2d5a536,
+    0x568a8b64, 0xe062cba1, 0x85c87a54, 0xd5b482ca, 0x4a22ddf0, 0x790067be, 0x9469b1e2, 0x286cbb69,
+    0xaac05eee, 0xcbc8ba62, 0x9f3e23fe, 0xe9ea3475, 0x78083aa9, 0xe6528f3c, 0xeaf6aa05, 0xd6d9fafa,
+    0x16c3abc2, 0x0c7f4aef, 0xba772609, 0x5b360a32, 0xdff61bb1, 0x77b0be4c, 0x9d73d7a9, 0xc98102bf,
+    0xa1d1a417, 0x6b5dd4a3, 0xfd4e37c2, 0x723a7143, 0x8a5e74fd, 0xa5474e40, 0x03697384, 0xdc064dd4,
+    0xf31dca14, 0x8cbac5d2, 0xfda8c9fd, 0xe2e870ea, 0xb3ec59dd, 0xa03f7fa5, 0x42b0f5d7, 0x7c566d02,
+    0x667b64ed, 0x580228ab, 0x6ba3bc27, 0xe77e33e0, 0x020185df, 0x0c9700a0, 0x1ee4ca3d, 0x0ca6dfd7,
+    0xb4ada1f3, 0x1ad8ebc7, 0x4d6c8ea5, 0x32e1a027, 0x3a72db30, 0xeb0522a7, 0x2c34fcef, 0xb703d9b6,
+    0x73ab2455, 0x4aedc1e8, 0x89f5fc0f, 0x16e55187, 0x98cf0834, 0x744751f9, 0x03f46ea6, 0xd254e755,
+    0xb8198cf0, 0xebeafcf5, 0xaa9e9d09, 0xfb31ae11, 0x7e463072, 0xdc225838, 0x09534a6a, 0x7b29d131,
+    0x8704e265, 0x573b2b6c, 0xcb6617f8, 0x2ae3fa7d, 0xf581f4d3, 0x422f4c03, 0x254c79c9, 0xb1f624a0,
+    0xe7d80f84, 0xaa4419e0, 0x3a9d65aa, 0xcbfe2345, 0x60e1de50, 0x06aa8bf6, 0x8b462ed2, 0x9c1b2665,
+    0x7a59cae4, 0x5241b568, 0xc8c480fb, 0x6099f9e1, 0x6e4b0725, 0x0016e9f2, 0x2aed3141, 0x015d291e,
+    0xabc993de, 0x0d7dc934, 0x632e4c98, 0x215222b1, 0x515bf151, 0x7429eda0, 0x3f89f0b4, 0x318ed2c1,
+    0xa3b29411, 0x14394a59, 0x47bcad21, 0xdb34f991, 0x25b6305e, 0x1dac3203, 0x72dec81e, 0xd4198987,
+    0x8bfaf6ff, 0xf55fe995, 0x0cdd9250, 0xc9075534, 0xd8c2d249, 0x58620280, 0x1d480d05, 0x28d11d27,
+    0x5ce74476, 0xc872563d, 0x6248ecde, 0x84f7effa, 0xf5f62362, 0x7e1a6989, 0x79c6500e, 0xf788e9e8,
+    0x5d3f81ff, 0x51759da1, 0xaa8f53aa, 0xff48bc90, 0x3b790d60, 0x6b46405c, 0x6f071fb4, 0x2eb1848c,
+    0xb02a3417, 0xbe8cc75f, 0x4e6162d5, 0xe7cd364d, 0xf9336b7f, 0xfe6dea0c, 0xc706a86b, 0x04553bd8,
+    0x3f242a16, 0x5e3c84d4, 0x2296d2c6, 0x4b43f126, 0x0389bdaa, 0xbafa47bf, 0x5554f151, 0x25c59616,
+    0xaee9a499, 0x5ab04691, 0x778a2e2c, 0xe9e7330b, 0xa27c0aa9, 0x1c255c5f, 0xfb3f8c32, 0xde288525,
+    0x96fae6b6, 0x9928133a, 0x9decc388, 0x74bc7825, 0x6fa75453, 0x3217d09d, 0xb8cd240e, 0x6fbf1fc2,
+    0x44c771d3, 0xfba5b109, 0x9bfad9c1, 0x513c1284, 0x92704765, 0x9621aa05, 0xb65a1dda, 0xa33d3353,
+    0x44bb581d, 0xcad96935, 0xa008ef23, 0xa65256b0, 0x956120e8, 0x8a7c7f57, 0x83035f48, 0x0dc086a9,
+    0xe61ff353, 0x26ca1caf, 0xcc75a35c, 0xe5803124, 0x7300de30, 0xe6ce1d13, 0x6d45dcb1, 0x62de626c,
+    0x5309f548, 0x133e72f4, 0xe7517848, 0xa5b3e927, 0x7552acc7, 0xcba251b8, 0x6ce68d46, 0x4baa9d6a,
+    0xa617f1bb, 0x2d26b6cd, 0x5c00e105, 0x56315716, 0x37e60c4e, 0xb86093e3, 0xa156340d, 0x8e9905a5,
+    0xcc10ac3b, 0x625069de, 0x42368acf, 0xba986be0, 0x98c09398, 0xbf27c8ca, 0x43abe2ab, 0x1b55c129,
+    0xe5951b31, 0x93d96426, 0xdfac44ec, 0xd8171466, 0x9321bc79, 0x6029b7ca, 0xedb952fa, 0x4b993f47,
+    0xe8033e70, 0x2c4a5b48, 0xe9bc674e, 0x026c5e5a, 0xeb01e7e9, 0x72c1922c, 0x8c331ddb, 0xc0904592,
+    0x1fe5799e, 0xdb4a18f9, 0x469e2337, 0xeee217ed, 0x30bb1dcd, 0xedcd6101, 0x647d8dcd, 0x4a3b0ab9,
+    0x3e791305, 0x2a60b2c1, 0xa00dbd3a, 0x6be8a07b, 0x3da939cf, 0x8e964798, 0xb599f1cf, 0xfdd433fc,
+    0xbe70ae44, 0xf5632b82, 0x00b5de6b, 0xfaf953c1, 0x9e800418, 0x28a9adf1, 0xed30433d, 0x46bfdd71,
+    0x87694892, 0x018d95c7, 0x0d9c1862, 0x13a4e028, 0xb29d4789, 0x45c60863, 0xaad6208a, 0xcd54dd7b,
+    0x70e5e00e, 0x5bf33840, 0xc5fc8956, 0xff36bad4, 0x98c6342d, 0x9278868f, 0xc44139b6, 0x563ee1d3,
+    0x55328bd3, 0xc048b800, 0xf8ce62c0, 0xf5c00701, 0x4fc1aca2, 0xf1dcbe2a, 0xa709b651, 0x07b719da,
+    0xa34f3178, 0xc6ac5e9d, 0x5d03a6e5, 0xfffa4ec9, 0x6c7fbc5b, 0xc9e89146, 0xfa71cf48, 0x7652ec78,
+    0x239408cb, 0x9539a15b, 0x5e04d8af, 0xb9b494e7, 0xd4741dc5, 0x2a803a3a, 0xa20189ae, 0xbc7368dc,
+    0xe8b86677, 0x0e63daeb, 0x30455d57, 0x2f0664ef, 0xa5d35175, 0x1a2504dc, 0x032347c7, 0x9dae393c,
+    0x942f3e56, 0x4d397904, 0x0cbcfe43, 0x02f54780, 0x0db7e72a, 0xe3cc45d0, 0x43f9a540, 0x7e4514fc,
+    0x271841ff, 0x5277c9b5, 0x8fb95111, 0x083b1fb0, 0x61178836, 0x9826a540, 0x85919370, 0x1ea110dd,
+    0x83f1e1d4, 0x58bcfe0c, 0x3a6cbaf1, 0xcbe9dcf9, 0x66cedbc4, 0x91944e54, 0xda3b12e8, 0x61e94039,
+    0x09f7e86e, 0x166bb18a, 0x17b207e9, 0x02f06034, 0x5d691337, 0x5adaaa04, 0x501b11fe, 0xc76230af,
+    0x75560956, 0xa1cbfbdc, 0x4a6035ed, 0x666baccb, 0x36e11091, 0x298f2c64, 0x1eba2d7a, 0xec4f51ef,
+    0x810e6a06, 0x501399a1, 0xf65dce1a, 0x3a4f8850, 0x95a8084d, 0xbe8805b5, 0x78ea81ad, 0x67acf1a2,
+    0x23b1c719, 0xfc16b132, 0x339d23e7, 0x5eb621a7, 0x93e0e0ba, 0xd8c93766, 0x32037975, 0x28d240d5,
+    0x8133e728, 0x3bb868b8, 0x9da25161, 0xd5fc1ac8, 0x71705685, 0x42eb7115, 0x43cd9328, 0xc9e21294,
+    0x1a223b58, 0x1a75adba, 0xb88b0394, 0x58f3f5d2, 0x0953d2f1, 0x3ce0b428, 0xfbf342c9, 0xe108a414,
+    0x6726fafb, 0x7d1f9195, 0x68924ffb, 0x720d7db9, 0x196499a2, 0x19ef5228, 0x48d1ec5e, 0xf9c31c01,
+    0x1877fc36, 0xe1e2b0ca, 0x4217a00c, 0xf16e95b2, 0xdb2931df, 0x7166f976, 0x382e8940, 0xcb4ab24a,
+    0xbc614783, 0xa8afc1f3, 0xc03e03cb, 0xf468c5ba, 0xe4468587, 0xf72e2713, 0xc2d03b67, 0x31c69711,
+    0xe2eaa2f9, 0x622ccffc, 0x446bbb7e, 0xeaafd1bb, 0x5c644131, 0x662cdac7, 0x079cf8e7, 0x86e7850a,
+    0xdcbadd9a, 0xfcde5e6e, 0xd976c098, 0x64081282, 0x7908edac, 0xf3aafbb1, 0x4fbaacbc, 0xf08c7035,
+    0xb5cf1774, 0xb8c5f5d2, 0x23b29915, 0x6f5dd30e, 0xaeae1813, 0x6fa0fc03, 0x8a2afec1, 0xccb4beb8,
+    0xe05cfa9b, 0x0058cf57, 0xd48168ac, 0x23f3a8b9, 0x5049d7ba, 0x280e70ea, 0x0886613a, 0x4162c0b9,
+    0x2c12d595, 0xe5c5e773, 0xee36fc28, 0x3e5bc227, 0x5dade3b0, 0x5ad7fa1e, 0x1a7fb66c, 0x8a08652e,
+    0x7b010788, 0x52c2034c, 0x939bf519, 0x2aa2f49a, 0xd7cf09d7, 0x7dd54bec, 0x144e4763, 0x06ce6433,
+    0xdffaf431, 0x98b243cd, 0xf0dcf69e, 0xfed02f30, 0xa28b93c8, 0x6575c781, 0xc814f012, 0xccab62df,
+    0x0c3b2789, 0xade0e5fb, 0xbfa1b993, 0xaf997db9, 0xe69a030e, 0xd9a35a2e, 0x1ee7d313, 0x80f0c8fa,
+    0xfee53f58, 0x856730c6, 0x2cf80904, 0x2bac1eaf, 0xcfc10b26, 0x98425478, 0x5d9a0b04, 0x2dad16c1,
+    0x1a7f8faa, 0x91f9181b, 0x868e558c, 0x7aa3a4e9, 0x6833a89d, 0x5e0f6c55, 0x025e4585, 0x009e09e4,
+    0x5b2dd9a9, 0xc96bfa4e, 0xc4ffb324, 0xb1b41c6d, 0x2f2549e7, 0xc5f2e04f, 0xd03de402, 0x0a06511a,
+    0xe7b88385, 0x4f5fdb38, 0x923c6111, 0x909cf51d, 0x13b5b9bf, 0x26cb0415, 0xb3390533, 0xf5416c7e,
+    0x3a451e56, 0xb7715a3a, 0x8b82cf7b, 0x9fdca6a4, 0x2a16a062, 0x5dfc6ce4, 0x81da855b, 0xc46855d1,
+    0xbdd8884a, 0x3e1274ff, 0x65746ffa, 0xd3b19432, 0x9695182a, 0x647372a7, 0x02c36e99, 0x7dc5bd3a,
+    0x74bcd1d8, 0xb9f7cb0c, 0xc49ecfd4, 0xb264cce9, 0x867c4462, 0x670eb121, 0x2cbb23ed, 0x4b54bcef,
+    0x753d6cce, 0xcf0c26b9, 0x87198461, 0x0ae9104a, 0x2898440b, 0x091e708c, 0x57c3fc1d, 0x0d18b108,
+    0x83d14d94, 0x3303d245, 0x604e352e, 0xcadeaee6, 0xb20fee62, 0x5c3bf56f, 0xe851192c, 0x05d4b3ae,
+    0x4a1a63b7, 0x8a9821ab, 0x25f3ec38, 0x510c2527, 0xa1f90437, 0x5eea8f3b, 0xecbad738, 0x9bf5c2c7,
+    0x877fa155, 0xe8180975, 0xed8e1de2, 0xbcb6720a, 0x675d8dbe, 0xe7dcd78b, 0x8302d82f, 0x7fa91209,
+    0x808d5ad8, 0x79d8f4ef, 0x88df826b, 0x071955b7, 0x340bbd1e, 0x309323fb, 0xe5ca98a2, 0x0db7f9f7,
+    0xe0797090, 0xee071553, 0xd61fedbe, 0x6f1c45fe, 0x570cea6b, 0xdbc4ffd4, 0x17a8501e, 0x7ac5a14e,
+    0xbdda5a24, 0xb97710e3, 0x068cffd4, 0x1ccab0c7, 0x14c01d3a, 0xa0eb10fb, 0xd3a70c3b, 0xf9cd8191,
+    0xcd1749d3, 0xbf14dfc1, 0xefba3540, 0x398e20eb, 0xdff6efdb, 0x62704307, 0xe7a2c303, 0x1c5e9afe,
+    0x93efd7c8, 0x2a7d7608, 0x0564a4de, 0x6bda2397, 0x2730306b, 0x11f9f7a5, 0x002212b7, 0xbcbf3cae,
+    0x5ddb636c, 0x78ab62c9, 0x2ae4db94, 0x0f738eb1, 0xd28ac7ef, 0x04bf4d1e, 0x14666e17, 0x53106319,
+    0x34d114ad, 0x2af3de5d, 0x064dab25, 0x29e8b3f6, 0x3f2c0e75, 0x9f774744, 0x01e20e0b, 0x4806870f,
+    0xcf4afbe8, 0x57f7477f, 0x37e040c0, 0x31801b0c, 0x5c357f48, 0xbbb572eb, 0x5160447e, 0x3817aabb,
+    0x6898dc8d, 0x10aebbc7, 0x7098da3a, 0x1af011b8, 0x933a061f, 0x5f8b0689, 0xa789e130, 0xd8915585,
+    0x92d94ba0, 0xe94be81e, 0x1119852a, 0xf8da4085, 0xc8a78786, 0x5c1c5c3d, 0x0b1710d1, 0x73552a7c,
+    0x123b191c, 0x3339d486, 0xa8d97d07, 0xf0cf4d14, 0x690997a6, 0x356a1dfe, 0x2b5e571d, 0xc401a3be,
+    0x6f376052, 0xd9d35c2f, 0xdbbc8c52, 0xfab63204, 0x99bd51da, 0x3a261ad4, 0x1b8d32df, 0x7521983f,
+    0x48ab3e97, 0xa0f8a7bd, 0x877484cc, 0xf47bc6a8, 0xd9f3adac, 0xcbcef52e, 0xe1aee2e7, 0x75ff92b5,
+    0x68ed7a5a, 0x7311a4f3, 0x8eac7e05, 0x07125aab, 0x029c7427, 0x8ac3d293, 0x9a459624, 0xe9072389,
+    0x127329a0, 0x8665df9b, 0x42f00f6b, 0x37c7e653, 0x415d614b, 0xe684d05c, 0xe53ec3fa, 0xbf5a6b02,
+    0xb65eb4c1, 0xd8b25eb9, 0x04bc3be9, 0x5619358e, 0xb853c42b, 0xd54ccc3a, 0xdf4d96d8, 0xf4f4430c,
+    0x68efb8db, 0x78bb5545, 0x0dc49c96, 0x96a6dacc, 0x2e09336f, 0xc72b7dbd, 0x98c6ccd2, 0x57bd37ca,
+    0x47df38a2, 0x534f28af, 0x17c250e8, 0x129239de, 0xbaea6bce, 0x0fd377ae, 0x33c63452, 0xf381cb93,
+    0xc79e0831, 0xabc27e4a, 0x43656fa6, 0xe9a33500, 0x1a4ca565, 0x27129005, 0x3ad824ea, 0x6089c261,
+    0x1786b5da, 0xb3e2bbe8, 0xb74fd98d, 0x0816cbdf, 0xf8fe3e99, 0xd9d7c422, 0x920a271c, 0x20f261eb,
+    0x3b677305, 0x899221fd, 0x931e48f5, 0x3b3dd8d5, 0xa511044f, 0x5846a5b0, 0xd2bf2c71, 0x150162ed,
+    0x0d14bff8, 0x1796c8d0, 0x606ee0d1, 0xc2020c9f, 0xc47eca7e, 0xbc2cf1ca, 0xd5c69c9a, 0xc04d27f9,
+    0x9df75223, 0xef9dbb86, 0x6c1adc91, 0x851d4556, 0x247e6267, 0x48981204, 0x71ba67bf, 0xeba792df,
+    0xebb3491b, 0xf7db3337, 0xc2faf184, 0x9a543e0f, 0xd6d00b90, 0x4bb1b856, 0x69ed0c09, 0xec117751,
+    0x50288021, 0x30d8140b, 0xb6c61631, 0x1649c08c, 0xa142b4ff, 0x2ec14967, 0xbf8893d4, 0x0a87fcef,
+    0x99a9781a, 0xc6bd6b98, 0x4696727e, 0x03b82859, 0xb1db150c, 0xd9bcf05a, 0x58084a90, 0x1189443c,
+    0xdf8f50df, 0xa4383837, 0x08e16722, 0x15f51d4e, 0xb0fdc1b5, 0x9cae1398, 0x7bcabfc1, 0xa22baba8,
+    0x12451478, 0xd7d817de, 0x089ad795, 0x764b58e9, 0x0c2cc8fe, 0xfbfc0021, 0x55a658f6, 0x17c20ce5,
+    0xfd2dae28, 0xee76e67e, 0x32f93514, 0xdbf69a0f, 0x0efdaa38, 0x571f5110, 0xac6f2832, 0x278cd8ff,
+    0x7c89ad47, 0xc61e34b0, 0xe9f187b0, 0xe2e92639, 0x8c9e3f23, 0x7b3508e7, 0xa3bb4033, 0x2c9bdabd,
+    0xcdd604c4, 0x5cb82e2d, 0xef87d33d, 0xbc039bd1, 0xad8580a7, 0x12f9e2b1, 0x38457e90, 0x46b524f3,
+    0x240013f9, 0x39c4ac4d, 0x951d5da2, 0x6caa3566, 0x4e582fa2, 0x7e4db26b, 0xac6da249, 0x1bb91a48,
+    0x48a52538, 0xf22507be, 0x703f2480, 0x838ff78a, 0x817dd6af, 0xfe8af4aa, 0x77c7539c, 0xa76522e6,
+    0xe08f5ecd, 0x96c788e9, 0xa0724af1, 0x4fd125bd, 0xf823451f, 0x566f2a6f, 0x65ffb247, 0xafdf17d6,
+    0xaf0fec7c, 0x62c04ba4, 0x6abe9f84, 0xd84258ff, 0x81595fa3, 0xdaf6a81d, 0x5c70fb81, 0x3a651fba,
+    0xcc71b159, 0xc3fd898e, 0x271c5647, 0xefcb9309, 0x73a421a5, 0xa048b864, 0x0f3f29b2, 0xa3628471,
+    0x6cbd2084, 0x283d6bbc, 0x0bceb9c3, 0x6924ad91, 0x75726c00, 0x19f78c57, 0xa10a1457, 0xe2d0a481,
+    0x30229ed0, 0xf9e13fd6, 0x49562d9d, 0x35bf9208, 0x2b4fde3d, 0x5dc7c940, 0x135b2edc, 0xf766e28b,
+    0x61f40b9a, 0xb8c54201, 0x171bcaa1, 0x47775dd8, 0xdd81b040, 0xe42e4172, 0x44570ff3, 0x4a8a1682,
+    0xd1b92f74, 0xc479a1bf, 0x901d6e3d, 0x8339a16b, 0x840919e3, 0xd437747f, 0x3c30f07a, 0xba14c747,
+    0xff95b05c, 0xe65546da, 0xa1d95bb7, 0x5be8a76d, 0x300c3328, 0x23a2577b, 0xb8cce5e1, 0x86114b91,
+    0xbe6e28f6, 0x6c76de95, 0x46391f37, 0xbeba6358, 0x46acaa20, 0x411e95a1, 0x969b2cb7, 0xaaa5d937,
+    0x50022bee, 0xa9bfff99, 0x746d8708, 0xe6011b4b, 0xd8cfc9f3, 0x24c90e1a, 0x336c8099, 0x200f47c2,
+    0x182f67bc, 0x91b75a88, 0x2df7a122, 0x62fec6c5, 0xf7e25edc, 0xc6ce9311, 0x67d06661, 0x097ad8a4,
+    0x733c92cc, 0xa58b654f, 0x60599b30, 0x661c25ee, 0x1d465a0d, 0x5423cfb9, 0x3ae568c6, 0x182e559a,
+    0x482a33a1, 0x381fe10d, 0x39e54d45, 0xd1e18e4a, 0x0ca102ac, 0xdbc75deb, 0x4ca30e40, 0x0db1af71,
+    0x18b01c21, 0xf9786647, 0xfbc53bdd, 0x89b8911e, 0x96179257, 0x226469fd, 0x3232bc3d, 0xa9a92ec4,
+    0xea8ec6bf, 0x01594dc1, 0x9c14a70c, 0x70a9cea5, 0x056b306d, 0xb58c7aaf, 0xd845dd0b, 0x0457e0bc,
+    0xeef1253d, 0x2997cf64, 0x6f277415, 0xf56b2539, 0x68696578, 0x292d83b9, 0xce5bec42, 0x344f0c90,
+    0xa0472dc1, 0xcd9d0b1d, 0xd1ef83e5, 0xed031832, 0x53dfb108, 0xaffc4022, 0x6177bbf5, 0x349830b2,
+    0xf0a4e15c, 0xb5a03914, 0x62fc7a38, 0xafe2ba94, 0x1a02c66d, 0xc97c23d1, 0xdf8f9967, 0x50e40c38,
+    0x32f243c4, 0x3ad60277, 0x483465dc, 0x2c081e39, 0xc2e81771, 0xe1d6ec6f, 0x93e03a77, 0x9656528d,
+    0x00000000,
+    0x455c18b7, 0x335e042c, 0xa30f4c5f, 0xc92a6fef, 0x098a562d, 0xd2754039, 0x4a049664, 0xda812016,
+    0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000170878962873672806591\
+                          60173649356416916821636178853222159576332862577757806245124400183696695492608 */
+  { 0x00000000,
+    0x353eb8bd, 0x319cf54a, 0xa6293e7e, 0xd4677521, 0x883eeb6d, 0x97662e6e, 0x2fa049de, 0x55925805,
+    0x5cd9aa0e, 0xc1c4a123, 0x4bf40851, 0x2a912fd9, 0x215e4e12, 0xe4105886, 0x762c2dc4, 0x5eb7f704,
+    0xacfaca71, 0x7fbf9158, 0x3f8b8bc5, 0xe7bef590, 0x277556b7, 0xf5255c36, 0xa5d1d18d, 0x404884bd,
+    0x561c67ad, 0x3be1c81d, 0x18c4cd4f, 0xc929cccb, 0xdff734f6, 0x5ba4fb6c, 0x5bb220d8, 0xeafd5790,
+    0x78800c5e, 0x5aefc0ae, 0x70c21bc0, 0xa63d7c26, 0xe7fbd5f4, 0xc280276e, 0x23a82e72, 0x30c05906,
+    0x231bceb3, 0xc75ed727, 0x286bdc52, 0x5990af39, 0x9520ff54, 0x677a7dc5, 0x31baa8f4, 0x5c4e0e95,
+    0x3401ddb8, 0x6c38182d, 0x1861499b, 0xce4a4933, 0x326727a4, 0x66941849, 0xace67990, 0x17f2d024,
+    0x8d33fb76, 0x2df0fe2c, 0x565758d0, 0xba059cd6, 0x58fe61ed, 0xe59bdbc4, 0x340787d8, 0xec91ee5b,
+    0x1c393244, 0x36add3e8, 0x2a92453a, 0x07edfa86, 0x1acf7fb1, 0x92bb3029, 0x9d658c57, 0xec22d45d,
+    0xb1a6f152, 0x1e72e0e1, 0x48239c57, 0x587b5221, 0x2425a613, 0x914c1190, 0x94f2a77e, 0xa10e182b,
+    0xca05cf53, 0xcfcf6c13, 0x23f243b8, 0x742babc8, 0xa7cb3665, 0xb6878f85, 0x196990a5, 0x08c6f9f6,
+    0xf1e69da3, 0xfa80804d, 0xb63e1d44, 0x35405bc6, 0xa3b917c7, 0xc2f29a8f, 0x9ea36f09, 0x29e24a50,
+    0xc457d9ed, 0xc8ede5fa, 0x9a34a74e, 0x0e7f1389, 0xdee8bd6d, 0x4adbe81a, 0xf321c267, 0x46a4ed95,
+    0x154c4f9c, 0x3c019cc7, 0x866f06d5, 0x029911f8, 0x0ae0f403, 0x8852c0ce, 0x4306416f, 0x4b6c1c4f,
+    0xcd00a5ee, 0x986967eb, 0x43a08b28, 0x50165557, 0x589016d5, 0xf9bc46d2, 0xc34756d8, 0x1935a507,
+    0xa7ce9a0c, 0x3ee7cf39, 0x7ee1fff6, 0x033d5991, 0xb0b9e514, 0x3074cbfd, 0x9878ec61, 0xab9ab086,
+    0x15a00ff8, 0xd5e2cf3e, 0xb868b956, 0xa233aee5, 0xe4d1377d, 0x6dac6c47, 0xbbdb565b, 0x6b46b7aa,
+    0x391fea6f, 0x1c23ff0b, 0xd076733e, 0x256f5ebc, 0xac326f44, 0x2445ffa4, 0x78b7a2d2, 0xe35858ce,
+    0xf8739f4d, 0x311dcd84, 0x35e03071, 0x83760725, 0x08725582, 0x11c77dc1, 0xfde6c8ac, 0x1a0f8501,
+    0x78d01398, 0x5c7fabfc, 0x13cb54df, 0x09d6c462, 0x7c64c0e9, 0x4df6440c, 0x430a248a, 0x0af97248,
+    0xd0841458, 0x401bdee9, 0x0fc644b3, 0x05b89f06, 0x8cad02a5, 0xf05c813a, 0x6f37ed2e, 0x5e172c23,
+    0xd967c607, 0x3d245c77, 0x90a2527a, 0xfecc85d7, 0x402e6cb1, 0x68cb49ef, 0xb9c42b1f, 0x7512d7d6,
+    0xcadebafc, 0xfaf9e4ea, 0xc2734997, 0x5b389c98, 0x37d29fdf, 0xef6a06bc, 0xe30bc07a, 0xfb074cf2,
+    0x888bfe71, 0x94eed3bf, 0x0186e444, 0x7b606f6d, 0xff8da6ae, 0xa98f9e2e, 0xcbce5f4d, 0x4b2fc29d,
+    0xb6c4f48b, 0x7fa6793a, 0x00640dc2, 0xe3d8d690, 0xc859850a, 0x5356e0a7, 0xc86723e5, 0x3a33dad4,
+    0x909b79b6, 0x82fadb18, 0xb5de9c45, 0xd1d507b2, 0x74175489, 0x6782c057, 0xee605476, 0x383ee57f,
+    0x4b4c5dea, 0x5165375f, 0xf240ff1d, 0xe0cef5ab, 0xcadf2aa5, 0x21a39779, 0x41113a39, 0x3382444f,
+    0x94f438b7, 0xc31a7882, 0x5f4ea3dc, 0xb8a762d0, 0xf2469d45, 0x42d021b9, 0xfd26a96d, 0x77c2fd2e,
+    0x036727c5, 0x5a45aef2, 0x51fb2648, 0x5dd93aeb, 0x52f1fbf0, 0xd1a7e34b, 0xdc443768, 0x912af155,
+    0xdbd528b2, 0xfcb60f30, 0xa70e1096, 0xb531fb24, 0x161b3bbd, 0x2c0c11f8, 0xdfc4cff9, 0x84a7dbb1,
+    0xd1557f98, 0x7f7ebcb8, 0x28d2549a, 0x9e3274f6, 0x791c5d75, 0x0f75c018, 0x05546c11, 0xde6e66dd,
+    0x93a03b1c, 0xacec2f47, 0x074a9c76, 0x94e56f9f, 0x020f2a7c, 0x70ef2505, 0x777a41c3, 0xde7f0115,
+    0xaf40b1f8, 0x4e171828, 0x9aba5e49, 0xab2ef1d2, 0xabb7a446, 0xa6d7b19b, 0xdb62ac5b, 0x0a298495,
+    0xd64446c3, 0x3ec71650, 0x87044e55, 0x278c96cb, 0xb6420198, 0xe979b851, 0x402a0582, 0x5fe8708e,
+    0xf247098c, 0xd95a6a54, 0xc2d64177, 0xc3a38143, 0x277040b4, 0xff0e383e, 0xdbbcc473, 0x6db4fe90,
+    0x43247610, 0x00bc808c, 0x36d72913, 0x7a3a47c2, 0xa9a27492, 0x61195cc6, 0xada4d68b, 0x39bd24dc,
+    0x9e706d2b, 0x40137480, 0xb894bb85, 0x9a88c163, 0xba453c70, 0xc3365d6f, 0x46231a97, 0x4d72c214,
+    0x2091044d, 0x20dea466, 0x8b30058a, 0x31ce90c0, 0x44099eee, 0xb88d772b, 0xc7bc41e0, 0xcdb4ac81,
+    0xc3b5933c, 0x2feb6cac, 0xc532f8ec, 0x4d80641a, 0x1b9978d9, 0xa2112eef, 0xb41cd164, 0x60328b9d,
+    0x60213ca9, 0xb9174224, 0x9346a58d, 0x8c26f275, 0x553659ff, 0x398ac21d, 0x0aa47d9e, 0x458f3e7d,
+    0x80016f17, 0x2c0eb600, 0x7d0a625e, 0xed076073, 0xfabc8c62, 0xb8eb187d, 0x25b90d07, 0x429ac488,
+    0x2823bf2c, 0xbf25d462, 0xd96b8818, 0x091add13, 0x40e47026, 0x58ee3e77, 0xc701c49a, 0x3ec94b1b,
+    0x8fa0d19c, 0xc6f8d948, 0x31433c3c, 0x7ff69ed4, 0x2794bdc9, 0x68d8b1bb, 0xad46b7c2, 0x8931cfa6,
+    0x08616721, 0x21814527, 0x4760a82d, 0x1df2c058, 0xbfe0a71a, 0xd2c0e113, 0xd75ba7c4, 0x854e9048,
+    0xd0bb5485, 0xa29d27ab, 0x7b5d54a6, 0x0bfd7bb8, 0x66e6554e, 0xb6287297, 0x7ba64c7d, 0x84424c6d,
+    0x2c61f7ac, 0xc3db620b, 0x3af1d1ba, 0x840a07ff, 0x2af05a4d, 0x08e5d84d, 0x0e03cf3f, 0x0c77348d,
+    0xe4a50447, 0x60743a47, 0xfae036a7, 0x2cd25670, 0xce1dd884, 0xacba080b, 0xd20f72bb, 0x8586b2f6,
+    0x25944136, 0x22a0539a, 0xc5899405, 0x215c1f43, 0xe4caf117, 0xf7963a63, 0x17eae155, 0x272d6515,
+    0x49eacd6e, 0xb9349fe7, 0xf25a8b33, 0xfd34b102, 0x9f239992, 0x2d7d435e, 0xdcfb4a91, 0xed915b86,
+    0x537ec59c, 0xdcbeb715, 0x3bc3b333, 0x96962a07, 0x29242e24, 0xd2d7c2f7, 0x5200a758, 0xfa0c0b36,
+    0xb39dfbd9, 0xbf1c44ad, 0x1a389265, 0xdcdc2c95, 0x21c26f19, 0x03a1d955, 0x4d1d373a, 0x119742ad,
+    0x9833e995, 0xd3e78fdf, 0xb6b708a8, 0xaefa3042, 0x20103fd5, 0x51927464, 0xdebc9ca2, 0x86a79949,
+    0x46ac2478, 0xb1b45493, 0x722d89f9, 0x8cc993f1, 0xb5f022d4, 0xeaaffb4c, 0xd15617e8, 0x33be8603,
+    0x0b8d7d42, 0x8deeea83, 0xbe0421e7, 0x0f85c806, 0xad17512a, 0xe74aef21, 0x9fc45301, 0x291219f0,
+    0xfccf90aa, 0x88b5d7c0, 0x4285d02f, 0xc2eb7458, 0xec188797, 0xf3032108, 0x5a86917b, 0x0427272b,
+    0x0aa6064d, 0xe040602a, 0x0757e898, 0x9b9bc406, 0x5633391e, 0x430f8fc7, 0x593e5c65, 0xd7ff86b2,
+    0x466c197c, 0x286a5263, 0xac3bfb84, 0xf326e503, 0xcc5bcb03, 0x811a5064, 0x8c53ad2f, 0xd3eba62a,
+    0x6a255e46, 0x7232e3d5, 0xc63a392e, 0xb532476a, 0x405d85a6, 0x1081a18f, 0x1cc3b366, 0xafc682fe,
+    0xb0b6ed36, 0x4c064271, 0xd0184290, 0xd11c0ccd, 0xca3b1073, 0xa3ee3e18, 0x28c2993c, 0x9d029254,
+    0xa76a6871, 0xe24c2c07, 0x6bb07f93, 0x5621995a, 0xda7f8a5a, 0xd9e409a5, 0xa8dc761d, 0x071f90fa,
+    0x5c9715fd, 0xae29d287, 0x05266002, 0xdffc777b, 0x0fb00345, 0x0b2ed0ea, 0xace508d5, 0xb5680cf8,
+    0x53646402, 0x6160e0ec, 0x1433a746, 0x84ed6d52, 0x96b01c68, 0x8763f361, 0x5c9483d1, 0x9b7715ba,
+    0xfc89fb1e, 0x03b5b0ff, 0x5214adcf, 0x09ad8d40, 0x3c36a79f, 0x3ece2943, 0xeeeee9ca, 0x28414896,
+    0xf720c8a9, 0x885b0360, 0xc2a4bd3f, 0xfb49aa0d, 0x524588ea, 0x89e645dd, 0x4b905504, 0xa3bb7a04,
+    0x1ddf0ea1, 0x58885d7d, 0x59bd4fd2, 0x05be5e24, 0xb2aafcc7, 0x41b0f0e8, 0x7cd35b3f, 0xb8573da7,
+    0x9795e195, 0xc8b8751b, 0x02795850, 0xf581e99a, 0x1acbcae3, 0x705c3b34, 0x6f55227f, 0x0640521c,
+    0x0f9555d2, 0xb1799146, 0x0f2b506b, 0x97e4bf92, 0xec2e902f, 0xf676f0ac, 0xcfb7f028, 0x4bdfd802,
+    0x4a7aecc7, 0xb4a36f67, 0x160abc58, 0x2e7a8412, 0x5e49ab84, 0xc5d93409, 0xbf0dfae1, 0xd157410b,
+    0x680d3b3b, 0x082be9f0, 0xb2bbc7a9, 0xd6419fc8, 0x79d44d7b, 0x69425c10, 0x5e0ac659, 0x9c7c27b7,
+    0xf8b8dd41, 0xefe78aab, 0x2eef1030, 0xd2b16aba, 0x297f8d8f, 0xe632f2c9, 0x86e5ecaa, 0x589e39e7,
+    0x053d29ba, 0x65178651, 0x58457a76, 0x3f30ab5c, 0xb58823bb, 0xe6c802f4, 0xed7be992, 0x07194600,
+    0x3c0a4996, 0xa88d9968, 0xb64ddb9b, 0xd3a2ba0e, 0x5b735f8c, 0xfb698d44, 0x24169713, 0x35fb1511,
+    0x9d9d3135, 0xecfa7a7a, 0x6ed6dfb8, 0x691ba921, 0x72c06a3c, 0xf999b6d3, 0x2b8a820d, 0xfd513331,
+    0x142326c6, 0x38c18bb1, 0x13d34a27, 0x07017283, 0x4466a5f3, 0x7ecbc9ac, 0x38dec20e, 0x1ec73a09,
+    0x82b38ba7, 0xc133374a, 0x6a83ee9b, 0xbc58262c, 0x0b30c5ab, 0xb7311363, 0xf9b0c8cf, 0xb885351d,
+    0xcf3d6df1, 0x06399fcf, 0x4073df9d, 0x0a860f0e, 0x05ec0d83, 0x4bc418cc, 0xdbf008c3, 0xc92dcc42,
+    0x6ffb2fb7, 0xf420ad6e, 0x5636a8b0, 0xaab99b80, 0x5a3a83a5, 0xe5842dd2, 0x9a67956c, 0x5190aede,
+    0xf89e2f0b, 0xdfaae817, 0x4053fd22, 0x88ebb52c, 0x8e9a1bff, 0xcd2490fe, 0x08617f15, 0x80b38527,
+    0xf46ee239, 0x47976d6b, 0x0304a7a7, 0xbc991d07, 0x3260da53, 0xa92cace8, 0x1028a50a, 0xc600fcd8,
+    0x278545bb, 0x168f331a, 0x8099203b, 0x531cd6ec, 0xd812325b, 0xebc76bdb, 0x581cfc1f, 0xd3037be1,
+    0x8a7b0851, 0x62655b51, 0xf4c07025, 0x3845b279, 0x7ec4a1e5, 0x46ebd679, 0x7b2abe99, 0x2b99b1c0,
+    0xd264b6fe, 0xfa7d217e, 0xfd31f960, 0xb724d6c3, 0x32ce2563, 0xdd95f87d, 0x84939b8c, 0x63733098,
+    0x5a9cac5c, 0xb0e3a497, 0x08e7059c, 0xe759b704, 0x76e0e316, 0x67fd149e, 0x49cae1d4, 0xc628947c,
+    0xaef157f0, 0xd3dc1ffb, 0x455ae3d4, 0xdb8100d4, 0xe7cac8cd, 0xc482d09e, 0x0ea00584, 0x1052bddd,
+    0xb8b6e8f9, 0x6811534d, 0x05b97dd7, 0x713fd326, 0x3cf6ce2d, 0x78f1c864, 0x30cbb53e, 0x4f688f14,
+    0x2507bf82, 0x28497b03, 0xca49c7e0, 0x06a4fe29, 0xc48e2664, 0x9f905a4a, 0x3044c9ea, 0xcfa73cf7,
+    0x6dd57fb6, 0xb75a8631, 0xab5d4e42, 0x6efcfaa5, 0x17a472d6, 0xcc257873, 0x57fe55bc, 0x63cbc811,
+    0x29c35547, 0x0c5de54b, 0x3fffd6e1, 0x1b4b2e5a, 0xcde7b9a5, 0x87375bac, 0x0fc0d3f8, 0xa38d755e,
+    0x0f70b433, 0x3c844bf6, 0xfe3a51c0, 0x6d6fe06d, 0x52ccd552, 0xd1058ef3, 0xd7c4bfd0, 0x7d2ae557,
+    0x190b723b, 0x421f156f, 0x8319fbf7, 0xff5da162, 0x45241fd5, 0xca54bcee, 0x4393155d, 0x46914539,
+    0x97baaed3, 0x7dab2a10, 0x17388a5e, 0xc95218e3, 0x271cbd37, 0xddd30911, 0x2ecdfea1, 0xa43aea06,
+    0x33422df9, 0x4a46cc97, 0x57c85a44, 0x6abb647f, 0x6ba92f86, 0xa0bf48ff, 0x7aabafe8, 0xcdd99c55,
+    0x91fe02b3, 0x9968c17d, 0xbd25c75d, 0x10c91416, 0x77e88ec0, 0x415e83c5, 0x8928c41a, 0x84a38c3e,
+    0xc50e0da3, 0xbe3cb75d, 0xa9e56bbf, 0x43b9637b, 0x68865d0d, 0x4ed2333d, 0xf22c2334, 0xe87ff20c,
+    0xe6c1970a, 0xa541c8b6, 0xd556a149, 0xf65e2495, 0x3d0e16a5, 0x403b2534, 0xd228b4e9, 0xe22ee2a1,
+    0x2d9e0785, 0xb14e0497, 0xd6b7a079, 0x07094de3, 0x74a246f5, 0x5a8ef88e, 0xd1df7ef0, 0x8c86c4e5,
+    0x96a16104, 0x2114b89c, 0x327540f2, 0xb220cdca, 0xe570e205, 0xe096460e, 0x1d3834fa, 0x28a5f862,
+    0x18e52fbe, 0xa15ffad9, 0x0c3ad4a1, 0x59adeca8, 0x3ddc2c47, 0x0b707d63, 0x582e7d7d, 0x6e9f1ebe,
+    0xff202eb0, 0x2158bd0a, 0x1fc11afc, 0x193e6c58, 0xa2e67457, 0x228f92c1, 0xffa1650f, 0x9c999aba,
+    0x73487167, 0x767d4396, 0xafb486c4, 0xd4180b7c, 0x8fd3b6ae, 0xb4068deb, 0xa9e3b89b, 0x074c7b34,
+    0xdcae112b, 0xc916be58, 0xb8283dd3, 0x84ac3c9c, 0xbacd3f4f, 0x7579f7d5, 0x303509c9, 0xfa8de817,
+    0x25bb237e, 0x7ec3c94b, 0x5517beb2, 0xf7891c93, 0x00ebc35f, 0xc0710c19, 0x910bb77c, 0x8467134d,
+    0xf1ed57f3, 0x74352e10, 0x9c740d74, 0xf417a0e9, 0xf1928995, 0x8388a027, 0x2b8b9294, 0xb9232a08,
+    0x5197c5cd, 0xdf9ce953, 0xcbe2cb92, 0x6fc3aa4a, 0x738f72cd, 0x147d1a0e, 0xcfd836b5, 0xcb547550,
+    0x55626a4d, 0xd22b7af5, 0x744231f3, 0x06c8df56, 0xb3bc9774, 0x3ea9229c, 0xa540d28e, 0xcb79115e,
+    0x8ea492ba, 0x5993ea53, 0x7fdf9656, 0xff16ec8e, 0x03eb75f9, 0xd51b0ea8, 0xb47bc332, 0xb2f23db3,
+    0xfe2413a4, 0xef1e2461, 0x0e3ead6e, 0xf54ca008, 0xc6481a7f, 0x733b7b7f, 0x00045187, 0x5ca1f316,
+    0xab276810, 0x3e9296c7, 0xd13ac9e6, 0x4002ad3d, 0x7eb07524, 0xf4b071e1, 0xe96966ff, 0x47783a27,
+    0x561be44b, 0x77ef90c0, 0x035f1a72, 0xec489ab0, 0xcf06f363, 0x3075514e, 0x5d551e44, 0xc45b1852,
+    0x103e11e8, 0x41d20f10, 0x27a4162a, 0x884d3626, 0xafae2a9b, 0x058b4967, 0x73d589aa, 0xbbc9ed8a,
+    0x8f0c3425, 0xc2775f49, 0x4804008d, 0xa4831d9e, 0x4f7d63eb, 0xadc1e9e8, 0x5b8a888d, 0x9a2ea2e4,
+    0xff526429, 0xdaad54dc, 0x004acd20, 0xe9230090, 0xcfa63659, 0xd93f208d, 0xa31cca60, 0x5b523ba1,
+    0x847b4341, 0x954c1231, 0x446f9c19, 0x36ba4a66, 0x24de0f69, 0x068d7996, 0xb02c9823, 0xa754a712,
+    0x1f60c6ea, 0x0f615fdc, 0xb6b07e54, 0x478d10ee, 0x9e854e8f, 0x9364a980, 0x2127361a, 0x6346b5a5,
+    0x7d90fcf9, 0x311f32af, 0xecd25e07, 0x014ac7dc, 0x6ddefaa3, 0x20309b59, 0x20dbd403, 0x3cea010e,
+    0x81eae510, 0x50088df3, 0xfb5cb2db, 0xded956f3, 0x1b1bbd1e, 0x0b1e2cb1, 0xc86d3c5a, 0x5c52ae7d,
+    0x1d2a608a, 0x889e3644, 0x9b4b4f4f, 0x14b50c20, 0xc4c84863, 0x2ab0e313, 0x2de164b4, 0xa18faa78,
+    0xe5cb5f42, 0x13451d92, 0x7300a545, 0x6ad706d0, 0x6a680fc3, 0xfea64795, 0x023c04ed, 0x25aa3cbf,
+    0x326aee99, 0x454874df, 0x8cc1e784, 0xe23d000b, 0x250b4248, 0x2251b538, 0x3641fdcb, 0xe56e30e8,
+    0x40bcd069, 0xe41a51b1, 0x62604734, 0x80e61ec2, 0xe074084d, 0x50465383, 0x0cdbae4b, 0x711e6b31,
+    0x2d104cf8, 0x26451cec, 0x6b5fe81a, 0xf39731d1, 0x612f414f, 0xf69400bc, 0x766f0147, 0x536d37b9,
+    0xa6cceacf, 0x2e557e53, 0x8aa131e5, 0xe4562a6f, 0x57f8d355, 0xe71449f0, 0xd56b92d3, 0x8ec44ccb,
+    0x88036cd8, 0x4daa5e29, 0x01ebde55, 0xd1412819, 0x34f6838e, 0x13dcfd03, 0x304874d9, 0x66ce1d32,
+    0x2178f7fc, 0x4aabb797, 0x6a7bddfd, 0x4db154d8, 0xa1dc9ae9, 0xd3e2e9cb, 0xb35f72f6, 0x71808551,
+    0xce9fe274, 0x1a2ec3b2, 0xc29523fe, 0xd32ed3e3, 0xe4ed2a0a, 0x0bb22d36, 0x7eab9908, 0x3525500d,
+    0x53922c17, 0xe5efd67d, 0x8ef733e5, 0x42b43d5f, 0x4dec94ee, 0xbdc2bc98, 0x50e17ae1, 0x8ab83fb1,
+    0x00000000,
+    0x22ae0c5b, 0x99af0216, 0xd187a62f, 0xe49537f7, 0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b,
+    0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000085439481436836403295\
+                          80086824678208458410818089426611079788166431288878903122562200091848347746304 */
+  { 0x00000000,
+    0xa6d8ea0c, 0x11fb34d9, 0x0c984644, 0x13ca3cef, 0x2e6765d1, 0x20be2363, 0xc6367914, 0xa78a7fc8,
+    0xed64945f, 0x5fb1ea96, 0x1267fac8, 0x9682eadd, 0x4de8bdfa, 0x7dceafc1, 0xa759570e, 0xf7c6853a,
+    0x8bdcf773, 0xed5b6587, 0x2e1d7e59, 0x3376a98d, 0x4d28c41f, 0xcbcc042a, 0xe5847d3e, 0xa9b98b77,
+    0x70883469, 0x51aeaf12, 0x2c22504e, 0x663b1566, 0xebd26e30, 0x36d2cf97, 0xbef87a7d, 0x02117417,
+    0xc3ef4afe, 0xd0d679d3, 0x583883fb, 0xe825cfe0, 0xb6bca1ed, 0xbe193c2a, 0x40c6da63, 0x06303ffd,
+    0x76af8e03, 0x89590123, 0x469caeb5, 0x1a7ee55a, 0xa110082d, 0x76319eb9, 0x0213e667, 0xe608cd43,
+    0x594bb2fb, 0x92a35931, 0xcb54613f, 0xec18243d, 0x6f39221a, 0x145c78dd, 0xff0a749d, 0xeb5b4ae9,
+    0x75762169, 0xa766baae, 0x71317a57, 0x4f377bb0, 0xfb0489aa, 0x21c789f7, 0x0a59b716, 0xf2356b2a,
+    0xa9bd015d, 0x23e09e41, 0xb7d93f16, 0x77eea306, 0x6671033b, 0xcb443de8, 0x9c81238d, 0x02b5d52e,
+    0xdd4f75f6, 0x8bf3ba17, 0x8d0d3daa, 0x20e1cd9c, 0x7c2680b6, 0x8b4c429c, 0x119d8013, 0xea5bbc94,
+    0xc2418a45, 0x29874dd5, 0x542cf8e6, 0x0e149031, 0x21661636, 0xcccae6e7, 0x3a097858, 0xcf4269d3,
+    0x9f31d3be, 0x9fe98119, 0xda65ceef, 0xb8390ab2, 0x83bd6782, 0xe63bb0f7, 0xa7d5f5e2, 0x9a462e06,
+    0xde9976b5, 0x7b86440e, 0x74d183a6, 0x5059f781, 0x666645be, 0x37822334, 0xcc72831a, 0xe67741b1,
+    0x45d44ed4, 0x1f65beb3, 0x9143c346, 0x446184a8, 0xc043d3f7, 0x303c55c3, 0xe330df8c, 0x34bf9103,
+    0x431c3052, 0x3b130d97, 0xbe918dbd, 0x2e58f3eb, 0x1084eff0, 0x05373ec5, 0x70db7fc5, 0xff12da3d,
+    0xaf4298fb, 0x147bf262, 0xcfdaf4d5, 0xdd7a8126, 0x520101b3, 0x65aaec80, 0x870ba5e2, 0x910112e3,
+    0x745f8528, 0x6c25b4aa, 0x37998f54, 0x0c330509, 0x82fc6bdb, 0xd60a869b, 0xa042a558, 0xd4f5b95d,
+    0xce1564ce, 0x51a31a73, 0x89878cf8, 0x5e76231d, 0x455be438, 0x7dd57adc, 0x8fb18cde, 0xc1d7ca5b,
+    0xb0cf28fc, 0xa7e7a82f, 0x22886a7c, 0x8b7ce5ab, 0x0aa237fc, 0x45561ba7, 0x2703286b, 0x33d64bad,
+    0xb62d5a14, 0xce1cb80a, 0x7a6dddc9, 0xf3443d58, 0xac59dad1, 0x072d2409, 0x83a209e4, 0x9c2a5ef5,
+    0x27ea17a8, 0x6a45eec0, 0xf5ac0376, 0x1e54acc1, 0x36946da4, 0xf9c62376, 0x1e401e7f, 0xc2456b74,
+    0x1ee374d1, 0x8f4b8d73, 0xfa87ee8e, 0x9cb1043a, 0xa05f147c, 0x91500a4d, 0xcbc59a8c, 0x64f9e062,
+    0x879d1ec4, 0x92db8122, 0xd78d0665, 0x8e272588, 0xfa947800, 0x5bc8d16e, 0xbced3d64, 0x2a93be10,
+    0x1292cf4c, 0x84f04ac6, 0x024d373e, 0xa85917ad, 0x49c17b1d, 0xb6569630, 0xf7d8efae, 0x05f18b3e,
+    0x61761152, 0x23ef1ddc, 0x83595cc5, 0x314d18a4, 0x71d58920, 0x00f2406f, 0xc01bfd35, 0xa139560c,
+    0x3e68fc80, 0x957276d9, 0x9e059227, 0x46ca7928, 0x081b3855, 0xa1d5ed2c, 0x81ae4af4, 0x1b213e5c,
+    0x0043e9fb, 0x5e8fff43, 0xdaef7dab, 0x6df924bb, 0x8fecd02d, 0x77831dad, 0x179fe7f9, 0xaf2da61d,
+    0x791b6609, 0xd3600857, 0x3f9d4d1b, 0xb00cda5f, 0x760ac177, 0xb701b425, 0xcf55e21e, 0xd32c232c,
+    0x4393cfb3, 0xfb3b8019, 0x3e7af890, 0xe915e674, 0x2801233c, 0x2cc2300c, 0x69a25666, 0x04edcaf4,
+    0x0fe0a53c, 0xb95b6d58, 0xbe54efae, 0x2b9e5597, 0xf8dded5a, 0x1ec4e2cd, 0xbd349df1, 0x56c4ac2c,
+    0xe8fb917c, 0xcf27a798, 0x219bc00e, 0x76cbc2ab, 0x582eb5f0, 0x2399cc7c, 0x559d81cf, 0x317d649e,
+    0xf4f253d6, 0x0c5b183f, 0x70337185, 0x981860ac, 0x5a2a0f0c, 0xd03e247f, 0x2de9ce1e, 0x2e40ffa4,
+    0x022a6489, 0x370be1da, 0x64ddb73b, 0x411b53f8, 0x9ea5d965, 0x2f4ddfee, 0x6641c4ac, 0x8b0e7377,
+    0x84210ea1, 0xc1f73d57, 0x5598b8ff, 0x0169e5f4, 0x905fff6d, 0x47099659, 0x74b08c10, 0x50d05382,
+    0x27000707, 0x8022ccbb, 0x5e093e62, 0x8c1803c1, 0x492649da, 0x763e15a3, 0x7d430d61, 0x4f6cddd8,
+    0x06949bed, 0xa187b266, 0x33179f10, 0x38d8760f, 0x1e97e5c3, 0xaee0048c, 0xddad63c2, 0xee8d586c,
+    0x82765a8d, 0x5101dc22, 0x138a996a, 0x1d27f947, 0xf5411d21, 0x62cdbd03, 0xf9b02b67, 0x02fca8da,
+    0x1289cf24, 0xbfec9d9c, 0x346e7cac, 0x4ed58091, 0x44e6ab9d, 0x46254dbb, 0x64af05c8, 0x1100d9b7,
+    0x6e1e6152, 0x0890c622, 0xe27a8332, 0x32c7e219, 0xec610154, 0xa9e3d211, 0x28656ea5, 0xdf9ae18a,
+    0xc574ccaf, 0xa4bcdcee, 0x7086ae76, 0x9feacf36, 0xbb7f898d, 0x8229042d, 0x00c564b2, 0x4503581e,
+    0xbca5df25, 0x385af5d6, 0x19e3e080, 0xf222252e, 0x7d7bd53d, 0xce16a754, 0xbaa99e69, 0x3d68afe7,
+    0xdcef96bc, 0xa6694d83, 0x33479d5e, 0xf926560e, 0x72ff3aa4, 0xcd871422, 0x41162786, 0xc753bc4f,
+    0xc6928cdb, 0xcf2556e6, 0x220309a5, 0x7a517f4c, 0x92d3de90, 0xf77483bc, 0xe3c88140, 0x71d0908f,
+    0x62dc8dc7, 0xde4fa1bc, 0x4a7cf4ab, 0xd2387ff2, 0x00c70812, 0xbc87ba49, 0x9261113b, 0x11159550,
+    0x3c89774b, 0xf184be1e, 0x946b3ddc, 0x2e47cfb2, 0xba7e2504, 0x2af55761, 0xde318374, 0x4b9602e6,
+    0xf11e4ba2, 0xf8fdf14f, 0xa665ea49, 0x470bffd9, 0xa6506b65, 0xb49d45df, 0xc046b29f, 0x55239781,
+    0x1ed9c56d, 0x45c855d3, 0xa446cd43, 0x49c9b720, 0xbfb6a082, 0x870eb1e4, 0x1b8763a9, 0x80a5f59e,
+    0xc3b4602f, 0x33f403a4, 0xd037e5fc, 0x871df6b5, 0x8153dbe8, 0x93dfc909, 0x0f6e070d, 0x195eca0a,
+    0x8dca23d6, 0xe6b8c102, 0x88868fad, 0x14016550, 0x0de5ea3f, 0x0bd6093e, 0x5590a577, 0xf47ee650,
+    0x3cce64b2, 0xa99c6ad1, 0x87d607c3, 0x6a1efdcf, 0x7794a2d8, 0x2bd990cb, 0xf76c3ab5, 0xbd65e79a,
+    0x3c73b066, 0x2d1d807b, 0x4453ca43, 0x2c47ca65, 0xc32e436e, 0xb84e761e, 0xfb11a014, 0x892c6b23,
+    0xb5ce5d21, 0x8e9450ba, 0x2e635516, 0x46591ec3, 0x59debd96, 0xc69375fe, 0x871be047, 0x4021cfa0,
+    0xbba1f67b, 0x353ddf04, 0x527a06e1, 0x839bfde9, 0x54b64b04, 0x73498268, 0x7d33df80, 0x7f66a5bf,
+    0xb48ad9c7, 0xaca7f5c8, 0x17c3ab91, 0xbe8cf5a9, 0x6f3f308d, 0xff2f2c31, 0xd0843d38, 0x22f622ac,
+    0xa1957597, 0x3cad3d10, 0xd6a290f2, 0x1bd71286, 0xc84677fb, 0x1a6eee64, 0x3d2684b5, 0xc5d2f826,
+    0x2e0013d6, 0x9c949f6f, 0xa1ee4fe2, 0x27be7254, 0xeb86c4b7, 0xe7041fa9, 0x0d4c3c60, 0x17f70b6f,
+    0x3635fce4, 0xe735e2eb, 0xa32f8357, 0x9988bae9, 0xd182f263, 0x49d06b2d, 0xa0cdf542, 0xdbc78602,
+    0x014957dc, 0xa78ffd70, 0xb2eb27cf, 0xa544e861, 0xa9669896, 0x9d701017, 0x5034dde7, 0xeec50066,
+    0x30ec2e10, 0xc3da089d, 0x10aca4c6, 0x4c225ccc, 0x67ce28f4, 0x1e3b6910, 0x93039875, 0xcf78b8c7,
+    0x2e262d3a, 0x61ff87c5, 0x95f38700, 0xfe222d02, 0x518f13ea, 0x136ce087, 0x6eeb1f19, 0x147515cd,
+    0x55859f42, 0xce2f33ef, 0xfb3410fd, 0x65ef8ccb, 0x1f372d94, 0x8a31878b, 0x0edd14c5, 0xb01995f4,
+    0x660acf54, 0x9193bf55, 0x238d34c7, 0x6875be71, 0x9f516b80, 0xa505b381, 0x64b96e4e, 0x6bea1800,
+    0x413c1161, 0x698ae0a6, 0xf3ef1aea, 0xca238d9e, 0x03897ceb, 0xd4e5766b, 0xfe12974c, 0x43eec16f,
+    0x569ffb54, 0xac6b79b2, 0x7cf7781e, 0x6c4c65c2, 0xd12d8a72, 0x301bbc40, 0x7694013a, 0x4f6c64d9,
+    0xeeef691e, 0xf86ca4f8, 0x253d1872, 0x96e55340, 0x58762eea, 0x363ddb9a, 0x2f7f6da7, 0x7b55daf3,
+    0x1ec63baf, 0xc0299d2d, 0x494dc574, 0xfcc94f55, 0x4c131ee8, 0x517b9174, 0x251029aa, 0x3ea094e0,
+    0xa23325ea, 0x3737e36a, 0x9f39a637, 0x5a907b6a, 0xb3c0e279, 0x5cfc021f, 0xde86175a, 0x2c8ef88c,
+    0x88af8ac4, 0xf2e48b0f, 0x4b25e950, 0xa76dc7b0, 0x45753aa5, 0xe433d31d, 0x5ea8067f, 0xebe02bd9,
+    0x60962e25, 0x3f963c24, 0x2f21f0d0, 0x0d4346e0, 0x434b4af1, 0x26bda2ca, 0x72af8b5e, 0x51bffb7e,
+    0x0a3157d1, 0x8df75cdc, 0xe749656a, 0x11bcbba4, 0xabdc3851, 0x013765e9, 0x5fa2c5c6, 0xfee827d7,
+    0xed7ade5b, 0x615c92e4, 0x21995faa, 0x34cb0494, 0xec6865af, 0xafbdb6d1, 0x56db68a5, 0x7637e86b,
+    0xca92193a, 0x57d74895, 0x5c37b5dc, 0x0750b6be, 0x98a7856e, 0x3cc70a5e, 0x8f86a2a5, 0x40c7f45e,
+    0x6bc5e49d, 0xd6213357, 0x4752bc9c, 0xa0b45d88, 0x8717b2ed, 0x6db4f690, 0xe4f0c39d, 0xf9d5578d,
+    0xbd7c1300, 0x818b6c81, 0xfa3f1bd3, 0x046f234b, 0x229f7931, 0xa87d4f51, 0xf15b8ad7, 0xa4950dc3,
+    0x456b20d2, 0x425bf2c8, 0x8d88c7ec, 0x5f6923f0, 0x4f298002, 0x73674344, 0x49c7eb69, 0xe2045803,
+    0x713fdf69, 0x165073a4, 0x0c058643, 0x5fa06ad2, 0xf3ad8900, 0xb66ab356, 0xbf73bd4a, 0x15114f08,
+    0x80353b8c, 0x18751d8f, 0x53593dd9, 0xc7b6974c, 0x60c91f54, 0x26271e05, 0xfcb2c636, 0x03d486a9,
+    0x94245836, 0xe5ecfa84, 0xb062ed33, 0x8daad9d5, 0x655b49ef, 0x51040598, 0x86c87e9d, 0x66b6bb14,
+    0xecf5f57a, 0x27868bba, 0xe6287000, 0x818e6752, 0x2aed7967, 0x5a757e5f, 0x08ae974b, 0xd3cde0b3,
+    0x0dbb165a, 0x3602e297, 0xc6f024a7, 0x8f2930df, 0xef70c9cd, 0x8e2d9def, 0xa955b9ad, 0xf6168c9f,
+    0xcd0cb607, 0x6e4beba1, 0x73b8a8de, 0x4d52ad8f, 0xec78916d, 0x7b25ed2e, 0x7e9169a1, 0xc983c6b5,
+    0xb6f4d3c1, 0x2c7e17e6, 0x5cba124b, 0xee55bc5c, 0x59b6f100, 0xd7cae67b, 0x764bd614, 0x77e0b3ff,
+    0x0c8c3178, 0xdb077393, 0x6ba0ada9, 0x3713702b, 0xdb52ba1a, 0x9f3ad401, 0x665c9876, 0xfc4865e7,
+    0x969820bf, 0x63381f1c, 0xb7030d47, 0x99bb3963, 0xfd50822b, 0x260f40b6, 0x2b0f9da9, 0xb596ba42,
+    0x9426cc45, 0xd6ce9f47, 0xa5e58517, 0x61341228, 0x306fc393, 0x091fdef1, 0x89ef93a5, 0x5d71bc0f,
+    0xb709b933, 0xc8785ea2, 0x8754ef07, 0xc424b791, 0x48e07b34, 0x186d11d3, 0xc523c5d2, 0x5aabaeba,
+    0x56ce60e3, 0x3f50160a, 0xc7bd4d1d, 0x8398b011, 0x9d69cd25, 0xeb514783, 0xbe9453b4, 0x3c867137,
+    0x47d6db1f, 0xf84bca82, 0x6d70d78a, 0x84ebdba0, 0x42f897fc, 0x80cea8c4, 0xe31c30a8, 0xe47d9248,
+    0x6f73c9eb, 0xb36cd3c2, 0x73794a91, 0x1c228091, 0x56aa3420, 0xb6229930, 0x8e31f2ab, 0x79523717,
+    0x3c11573b, 0x3d989bc1, 0xbada32cd, 0x73e47848, 0xbe08f9e5, 0x25baa145, 0xce6b221d, 0xfc03a0e3,
+    0x913b02e4, 0x30875ea8, 0xb6776cc2, 0x342bd028, 0x97df3b37, 0xf77a5d1a, 0x24da12c0, 0xd306cfba,
+    0x49b09193, 0xa5b8c451, 0xd9aaa7fb, 0xbd897428, 0x3b1c6ed3, 0x8c385fa7, 0x3ef2d42c, 0x61f94037,
+    0xb3794c77, 0xfa4d7b67, 0xa8a1b684, 0x7c65e8fb, 0xf584b617, 0x80c679fa, 0x722cc710, 0xc6464020,
+    0x85664a2c, 0x02800d85, 0x0f16c95d, 0x6ef627a7, 0xce3ebb18, 0x088f5bb5, 0x49148d27, 0xde7d8884,
+    0xc807c717, 0xd3458d36, 0xaee7cd11, 0x5cd6cdd9, 0x3ad21d39, 0x74ea0edf, 0x01417a3c, 0xa3350ec1,
+    0x99bf9ff2, 0xc8a784a6, 0x256ce5e5, 0xd96addc1, 0xb7689d90, 0x5a128bf5, 0x801c19de, 0xba349670,
+    0x4029f46c, 0x037ade36, 0x4846c9e5, 0x57c05f61, 0x179b764e, 0x113f53ec, 0x709e919e, 0x0595979f,
+    0x35f8e43f, 0x4b1b0e87, 0x9b08ecf4, 0x91651a95, 0xf0818205, 0xd8a648c6, 0x1f228e97, 0x47db45b5,
+    0x38ad5bf0, 0x5eeb4bfe, 0x16a04898, 0xcc9f6d2c, 0xf79956e4, 0xeaa67e29, 0x449e3883, 0x27bb7130,
+    0xa3cfb457, 0xfbaa865f, 0x857bfa28, 0xe5548468, 0x65a238a8, 0xfb3a65cb, 0xeb83b7ce, 0x10cfe34a,
+    0xc514d93b, 0x4bae44a3, 0xe97330cb, 0x92533b5c, 0x8c8f8b56, 0xd9aabef4, 0xc466af35, 0xf0726ed5,
+    0x9391e27d, 0xffb2dfbe, 0xfdbd179a, 0x65aaaadc, 0xc4c187b9, 0x0b4e3f04, 0xa1bd5aa4, 0xe82e8afc,
+    0xb40dde47, 0xb495473f, 0xcadd07fb, 0x5bd3334d, 0xeca34386, 0x047242e5, 0xb6961ab6, 0x14e87b04,
+    0xe86931bd, 0xd14069b7, 0xde6dfd96, 0x4a120a2c, 0x44d290ed, 0x22f48fed, 0xd1272c6f, 0x9e31c89f,
+    0x0681fc59, 0xac03678e, 0xfb69d8b4, 0xa28b8586, 0x761d3b77, 0x3caee099, 0xd584473b, 0xfdb3cb6c,
+    0x03ab311c, 0x38390eb4, 0xd06b1bff, 0x2eded2a1, 0xeaaed60c, 0x3054d20f, 0x283a660d, 0x50578a54,
+    0x7e62a48a, 0xc5800d66, 0x4fd97f37, 0xf5c0c811, 0x4eaddd27, 0x3dc90a11, 0xca4de10b, 0xd1bd5979,
+    0xf6310671, 0x8f8be959, 0xebb80594, 0x6cdba335, 0x1561df12, 0x5838b2ae, 0xc7e5f387, 0x749d3438,
+    0x855e5e4f, 0x58ae3021, 0xa95a4060, 0x5049d2b3, 0xa8cdd9cf, 0xf88bc25d, 0x21bc5dde, 0xcf798878,
+    0xe1e76c4a, 0xdb82bcbb, 0x57e6a9a2, 0x9e650f06, 0xc713871b, 0x28cac50e, 0xc2b4acda, 0xc5cfc60f,
+    0xb9b31e8e, 0xddaed9bc, 0xbd43a5e3, 0xc409c314, 0xa1ace076, 0x1c212cda, 0x7d663016, 0x4368d8d2,
+    0x680db2aa, 0x2fb0e70b, 0x9f55c2a5, 0xae949fb9, 0x0899e30b, 0x7e709698, 0xf5789d46, 0x464e9d2d,
+    0xb108412c, 0x49d58d71, 0xb31c9628, 0xd02b3cdd, 0xd3adb02b, 0xfcd743a3, 0x057c0e15, 0x3938d9a3,
+    0x241b94b2, 0x3e4c44ac, 0xf567088e, 0xd452420a, 0x19b401c6, 0x75681542, 0xe7b61d55, 0x50bba24b,
+    0x378c4c71, 0xcc64d865, 0x631c2450, 0xde550840, 0x5fe1d05b, 0x4328da45, 0xe9af428a, 0xc3d2116d,
+    0xcaae7826, 0xba48d15f, 0x309838c2, 0xb0fc773c, 0xdc5da516, 0x023d862f, 0xf36bcc8f, 0xb8197db9,
+    0xeb4921a1, 0x2e7333c2, 0x6f1b1e22, 0xebf590c2, 0xd7ea6144, 0xf735464d, 0x34eba370, 0xc65b13b3,
+    0xa5917d54, 0xe39a336a, 0x29da81af, 0x9945554c, 0x9c2c0e09, 0x2bba81b9, 0x9f582649, 0x760db166,
+    0xcab5a188, 0xbc7d306a, 0xca62dc00, 0x374e3b63, 0x51bdd65d, 0x9c974d64, 0x8d2ed464, 0x07f9f564,
+    0xea8f8c19, 0x1a44f07e, 0xdb2a2f63, 0x6ec924cc, 0xb765c024, 0x8aed2b1f, 0x18c8ded3, 0xf16659f9,
+    0x186e7ce4, 0xdc49580e, 0xa17fd68f, 0xb5c641b3, 0x4fb99850, 0x90a489dc, 0x24cbc34d, 0xf034087c,
+    0xb45cfb89, 0x04550780, 0xaeb81711, 0xeba1ce00, 0x08dea0c2, 0x4f8dd21d, 0x34edc2e7, 0x8cc9b497,
+    0x14745f7b, 0x17954fb0, 0x883c0013, 0xbc8f853c, 0x81140733, 0xf3e0cc09, 0xc51bc4ac, 0x33090224,
+    0x938bf48a, 0x0ca754fa, 0x55d36c4c, 0xa6dafaf3, 0xda2910a5, 0xadd6e1c9, 0x9c8a6e0b, 0x391e9765,
+    0x521c7a31, 0xbe4bad87, 0x8dce3608, 0x9f42040b, 0xdbeb5ae0, 0x79cfe5b7, 0x610034af, 0xf96ea5c0,
+    0x13c7c538, 0x659421bc, 0xc5ec7549, 0x85606acb, 0x76fdc802, 0x8ef9cd22, 0x801a9052, 0x85408a2d,
+    0x00000000,
+    0x1157062d, 0xccd7810b, 0xe8c3d317, 0x724a9bfb, 0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805,
+    0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000042719740718418201647\
+                          90043412339104229205409044713305539894083215644439451561281100045924173873152 */
+  { 0x00000000,
+    0x08ae09e0, 0xc156185f, 0x1f3d67a4, 0x4ab3a463, 0x8095c226, 0x56b2252a, 0x96918386, 0xe17d4e5f,
+    0x7247fd5b, 0x8ee5fa7e, 0x7ec07530, 0x72f6d47e, 0x722f0f65, 0x37d825ac, 0x9c699924, 0xcf72ec44,
+    0xe656cd59, 0xacd0aed6, 0xa3983b30, 0x0de65782, 0x2ba248cb, 0xe8a6c1b1, 0x73a44314, 0x8c438511,
+    0x42d51edb, 0x57b4b435, 0x81abfbff, 0x433cff00, 0x1ca79545, 0x9236c77a, 0x73c7d703, 0x8b184437,
+    0x008704a3, 0x5743e661, 0x5973c581, 0x74ad82f1, 0xae2002e8, 0x977a7241, 0x01eee2e2, 0x7545a4c5,
+    0x0fb8f151, 0x3f477ed0, 0xf37d699d, 0x6c161bbc, 0xc8830565, 0x82890422, 0x6ea727b4, 0x36e9517f,
+    0x0f4bd822, 0x1aaf2bdb, 0xdfec736a, 0x7e9295da, 0x1713568c, 0xfb412931, 0x91364cb6, 0x3cddb04c,
+    0x5f041501, 0x916552c1, 0xee612f10, 0xb423a1ce, 0x9fce020a, 0xc7910823, 0x6401d6ac, 0x72b003d4,
+    0x9c059c80, 0xb14d517f, 0x709c6609, 0x55070471, 0x2cedef08, 0xab39cc0b, 0xc4e865d4, 0xc0e52845,
+    0x6b962176, 0x8300e7e2, 0x83b7ac49, 0xb67386c4, 0xb956d801, 0x1a3e9332, 0xf895104d, 0x30cf2fe4,
+    0x9450b5d1, 0x09eb0d36, 0x636c85ed, 0xd1d53989, 0x36848959, 0x7641c65e, 0xd863a5d8, 0xcb3d54b9,
+    0xfc3d79e3, 0xc8a0cecd, 0x2fe45de5, 0x5f0c859a, 0x6556461b, 0x31539876, 0x2b85f4fb, 0xfc8fde18,
+    0xcba962f3, 0x0f566e3a, 0x6cbae0c7, 0x94055f39, 0xe2b4b28d, 0x779b1a4e, 0x3c4cee81, 0x9a60e7a9,
+    0x148d5dff, 0x19db7dba, 0xff405055, 0xf480ed12, 0x242aa968, 0xb8859954, 0xca8eb499, 0x7ab48c1d,
+    0xd85f322a, 0xf0d407a4, 0x4d10deb5, 0x9b7d3709, 0x955af15e, 0xc37c9b27, 0xa4562ced, 0x4a6a0d53,
+    0xe66c6ffb, 0xbf7ab4ef, 0xc69a2d79, 0xfb935ba3, 0x0d427820, 0x7b647c3c, 0xc5d4e4ae, 0x4350cee2,
+    0x46eb38d4, 0x4e258414, 0xe1023556, 0xdd6d8d42, 0x820a3a22, 0x2fee8e6a, 0xccac4ff1, 0x576f78bb,
+    0x5244a43b, 0xd3b51f57, 0x9f5d090b, 0xf2627c09, 0xdd7a9d79, 0x6c90b451, 0x50477fa1, 0x855afecc,
+    0x3ac591b5, 0x57562cf7, 0xc9f42984, 0x7115e610, 0x0af37d60, 0xbb775aaa, 0xa038efc7, 0x1b08958e,
+    0x55e0ffc2, 0xeb679747, 0x7afb0727, 0xcbae9e7a, 0xde53226e, 0xe8725130, 0x4e42200d, 0x0da56df8,
+    0x7ecae0ad, 0x4d228bdf, 0x1ce5a5d3, 0x8fd70462, 0x5e470ee3, 0x373b8677, 0xf39c6648, 0x3691c10f,
+    0x30b8ba7a, 0x188629a1, 0x5115b109, 0x1e1de210, 0x92be013d, 0x8ca0ba02, 0x40601192, 0xbc9cbaf4,
+    0x7f291463, 0x2287c422, 0x2c74e74e, 0xfb4252a1, 0xc22029bd, 0x1e0e9004, 0xb3088737, 0x589f6e17,
+    0xf3eb5f5b, 0xe6d8e429, 0xbf7f61be, 0xb78cc2f5, 0x9263dc65, 0x21e48dc2, 0x0a586c62, 0x303f733d,
+    0x3793ca6c, 0xf50fd3d3, 0x632db219, 0x5c7fadc0, 0x64a145c0, 0xe71638fe, 0x1ed9255e, 0xd52c0749,
+    0xf7fe7af9, 0x94c5b7d8, 0xc79d716d, 0xee6d02c2, 0x67680df0, 0x5e428e03, 0x4d660e3c, 0x935a7546,
+    0x93d5c71e, 0x2d3cf355, 0xd9d1cc29, 0xcbbe6a33, 0xc6c04a4f, 0x6273f816, 0x6c3a8a92, 0x8d0178ff,
+    0x256af350, 0xfae00b46, 0xb2f02e33, 0xa27d607c, 0x82c3de92, 0x30990c3f, 0xd43403f2, 0x167425ec,
+    0xcf8a9a2c, 0xfa49b8af, 0xdc14d710, 0x6c75cff4, 0x64aec9ad, 0xd38300b3, 0x8ad91722, 0x7296b3df,
+    0xe8e23f24, 0xffa48911, 0x6a85a170, 0x41be770f, 0xa4b2cc88, 0x6940a78a, 0x63568c50, 0x7f89a789,
+    0x044b710e, 0xf09bc3aa, 0x24cb0182, 0x21c49d48, 0x32194fc5, 0x48897d44, 0xcfd88e11, 0x4d5d7f19,
+    0x39124d90, 0xe634966c, 0xe311d0ad, 0xf4850d61, 0xaec810f3, 0x876924d4, 0x96a63588, 0x11bd701c,
+    0x78f516de, 0xb0e22140, 0x1a8fe476, 0xc4946d2d, 0x305ba746, 0x7f96ce0e, 0x18428ba8, 0x3dd6815e,
+    0xc040c962, 0x858f7aae, 0xee19fdc1, 0xca775e41, 0xe8246cd7, 0xf7a2d619, 0x71c995ad, 0x7a8cd556,
+    0xf6380242, 0xef683dd1, 0x973a994c, 0x54ab7454, 0xb24537ed, 0x5e663e39, 0xdacd1420, 0xbb948ad5,
+    0xe435db05, 0xb4e8e5ae, 0x5d8a50d8, 0x35fd3b97, 0x7413b592, 0xde4f2a25, 0xdb4a27b0, 0x83e66caa,
+    0x63146518, 0x1979d12a, 0x3a384a08, 0xf50609da, 0xab818780, 0x8996fd47, 0xc9dc2b4c, 0x7818fd30,
+    0x89e04a39, 0x37d92049, 0xe607e51c, 0xc313b966, 0xbe5383ed, 0x07dc5002, 0x4c785be4, 0xec887b56,
+    0xa78b02ce, 0x9f2707a8, 0x307f4e24, 0x799ffec0, 0x6f0aa895, 0x4a573ac9, 0x1ed2b1d8, 0x35f47517,
+    0x7a2441ca, 0xcf1b0a91, 0x0c5060f1, 0x7d31e5d1, 0x8f451948, 0x28f3ec81, 0x3c1412e8, 0x758632cd,
+    0x95c150cf, 0x82e0cff9, 0xeb6d660b, 0x81d83d22, 0xb8191a05, 0xc0710ba0, 0x0840cc12, 0xec5160a4,
+    0xfe60da5e, 0xe3427154, 0x378645f4, 0x7f8a9895, 0x4866d2b8, 0xbde3a8b8, 0x0c6c36a0, 0x6b24d6b2,
+    0xa1dc4249, 0xc34bc1ff, 0xb96c5221, 0x5bad3d6a, 0x36e62902, 0x76fa38df, 0x7df4f823, 0x39d723c9,
+    0x8270ae22, 0x5fa3c7c6, 0x1a8dfc28, 0x1ecf7e6c, 0x64cbaf99, 0x82a67172, 0xe0c804f6, 0xd73adf04,
+    0xf1f56b80, 0x1396ad95, 0x6bef1d8e, 0x2ce78ef2, 0x95ed979a, 0x37100fc6, 0x8a728ee2, 0xf2a4f2af,
+    0x26a3a8fa, 0xe2849154, 0x190ca609, 0x00c65361, 0x1291f7cc, 0xd5ac093c, 0x278bf66e, 0xa94e21c3,
+    0x6d9b4ab8, 0xd1f1c9bd, 0x7344cc71, 0xb2568753, 0x9645f2a1, 0xc95e8583, 0x1bee170c, 0x102337b2,
+    0xb030007c, 0x8a35913a, 0x50d4f24c, 0xfe5d3f0a, 0x4c823ac4, 0x5a3e1dbe, 0x1025af6d, 0x4bda67fb,
+    0x20c8f4d5, 0x9cddf69a, 0xf44b0e38, 0xe6fe8aa3, 0x97c6b9b4, 0x16b7764c, 0xba5ba904, 0x5af41b65,
+    0xfa8a6e35, 0x1c95e9d7, 0x0c5ab8a0, 0x86363a7e, 0xf92a8e87, 0x30c9d4f2, 0xb629f932, 0x90ef3b8e,
+    0xbea6ff6a, 0xb9785ba7, 0xc3e1006e, 0xfbe8e67c, 0x1605019b, 0xe08e72b3, 0x85e0e584, 0xba7abfd6,
+    0x06940272, 0xed5eaad7, 0x41435fa2, 0xb62bbe64, 0x59614c56, 0xfc7e8743, 0xbdefc433, 0x4381d229,
+    0xee09fe32, 0xea80c1a1, 0xb080f4e4, 0x60825c27, 0x1a37d244, 0x21b17c62, 0xd8ec2f16, 0x732ff845,
+    0x3afab329, 0xe80a6722, 0xbb8222d4, 0xcebc83e9, 0x1c906aed, 0x3fd4e09d, 0x73737e6a, 0x9144d030,
+    0xbc1c7f66, 0x66d133d9, 0xe5f1b285, 0xe658f406, 0x5bd320af, 0x9472bdb4, 0xf76103bd, 0xc2f58a79,
+    0x8fb72d86, 0x21a6ba77, 0xf4786890, 0x3f6f367d, 0x213ca3a1, 0xa37bac00, 0x8e35c002, 0x7d49c3c0,
+    0xce01e6ad, 0x53948ce1, 0x5eebaa74, 0x2c9f5ce9, 0x41d8bb53, 0xdb78dc1d, 0x301271a8, 0xfca18ace,
+    0x32c37d1b, 0x58a19279, 0xa5106ddb, 0xe6ef8037, 0x4c7207e8, 0x8ed69ca3, 0x7e3d2477, 0xcb72a1bf,
+    0xfe8da9af, 0x34efbe91, 0xd1df0ccc, 0x5bca2374, 0x1c059f22, 0x4661c7f0, 0x8cb5153c, 0x0126cb85,
+    0x77ac71cb, 0xa9c532bb, 0xae1c160d, 0xb6b53429, 0xa45326a8, 0xddbe03a9, 0x0d7ff1d0, 0x2bebe071,
+    0x54c0b3d9, 0x8bb452f5, 0x3ca276a5, 0xa989fc06, 0xd0a8933b, 0xa7678eb0, 0xf110352a, 0x4dd6b320,
+    0x5949e3b6, 0xc9bae3a5, 0xa51fb1f2, 0xf458975d, 0xb6bce9cd, 0xdfe6754c, 0xcf94c0b0, 0xcb469a3d,
+    0x06e2d120, 0x4f42f48c, 0x88d992f3, 0x8874a71b, 0x4c6edef7, 0x83cf1500, 0xe24f4e8d, 0x78d67a51,
+    0x17195d4b, 0xf902e717, 0x887f9661, 0x4908acf4, 0xe34b1e7f, 0xbeaae2d6, 0x333ec835, 0x1b1874b9,
+    0x95b0e9d5, 0xe8d48584, 0x67859647, 0xc08f188e, 0xc709619d, 0xa527df84, 0xcb566385, 0x63724450,
+    0x25ae5ce6, 0x2df51a55, 0x0f65f6aa, 0x7e2c0a2e, 0xee8a7530, 0xd8caa9ce, 0xd2676e7d, 0xec809cf2,
+    0x098072ec, 0x72b0f1d6, 0xe278b561, 0x7ce309f6, 0x6082a9fe, 0x26473d49, 0xf46547a5, 0x6c29cfcb,
+    0x82afc685, 0x66e82766, 0xcaba8251, 0x61ebd243, 0xe257e132, 0xf0a29a8b, 0xbd9c4081, 0x75598a43,
+    0x6e1c9f22, 0x6b62a0da, 0x01e43118, 0x7ef54b21, 0x1ac084b8, 0xa419b912, 0x518edd03, 0x5496e929,
+    0xcfeac5b3, 0x42b22575, 0xaa70a3c6, 0x2d9506ba, 0xf3ddb945, 0xba85bb38, 0x1ecfc8e4, 0x73a1b607,
+    0x7373214f, 0x2084f45d, 0xa5347e17, 0xee2b2124, 0x2c45bf19, 0x5e0085f2, 0x3b298d2d, 0xc0fa5353,
+    0xb0e8c6f9, 0xf7789b1b, 0xe3431119, 0x7a9f8e55, 0x3bc59e11, 0xe3f43b00, 0x40e06a0a, 0x8d522fb0,
+    0xa8450309, 0xe1d7aa19, 0x02e9b954, 0xce13ae60, 0xf826d27b, 0x5d91fa78, 0xc5312216, 0x4e749197,
+    0x0473eb03, 0x19c899d7, 0x7f0be717, 0x15ceb057, 0x2207396f, 0x55215607, 0xfca2e91a, 0xadf732ac,
+    0x8e8cc329, 0x32d7bd79, 0x28355308, 0x2106795b, 0x78b5db6c, 0xbc9c0dc1, 0xc030f7c2, 0x5e2b609c,
+    0x94acfaab, 0x3dc060d9, 0x0d3da72b, 0x13bac910, 0x86e96dd2, 0x6f004ee2, 0x8f7bbf05, 0xf637f422,
+    0x43fa21c7, 0x66d363ad, 0xcb5beea7, 0xc287b1fc, 0x3b0573d1, 0x23e33b1c, 0xf432fc70, 0x6f9380a3,
+    0x27873185, 0xb9a40da4, 0xe2a7d3e7, 0x28edf4a9, 0x09c37948, 0x2d55c8b0, 0x192dc95a, 0x0eb06cf0,
+    0xf6c21c69, 0x946e1eeb, 0xdc0054a3, 0x32914eb2, 0x21cb9cea, 0xb4092e12, 0xbe09a265, 0x9703cb0f,
+    0x561861df, 0x752814af, 0x1aff261d, 0x84b4adeb, 0xad1a2d8e, 0x327def0b, 0x205ebf29, 0xb12cca38,
+    0x1dd795a2, 0x630cc99e, 0x13aaf083, 0x28dd78ef, 0xe214f657, 0x4b1187f0, 0xefdde56d, 0xee37d996,
+    0xe7f64dd8, 0xe66173e7, 0xe5eb8e71, 0x2344106c, 0xf10fc3c6, 0xb1f8a84e, 0x2f065a2e, 0xf6b434b5,
+    0x9a58854a, 0xb8fe74e1, 0xb82c9839, 0x8fddeb1a, 0xe5a71b97, 0xb33223d5, 0x81a2ea71, 0x96d58fba,
+    0x65404978, 0x20909e00, 0x5b8eae7e, 0xeb03bb0a, 0xd87413bb, 0xc7bbb9ef, 0x88e43f89, 0x1ca3909a,
+    0x5b920abb, 0xb974341f, 0xa3f67f58, 0x1a216ced, 0x5739c9ac, 0xbdbd38ff, 0x724f8efd, 0xc6907231,
+    0x38db26d0, 0x5b5cc134, 0x603ffd48, 0xc617fd26, 0x2f5cd35a, 0xb5b2d13c, 0x58977f0f, 0x99c33b19,
+    0x6c5484fb, 0x7394f3bd, 0xf5f6d0d8, 0x85a4bfe7, 0xb17060c4, 0xe54441ae, 0x0ca4eccb, 0x286eba65,
+    0x89c47f64, 0xa5fc8fd2, 0xe1178a0e, 0x83b35404, 0x49d2051d, 0xf76d5574, 0x25ee7f9b, 0x82b54ab0,
+    0xbf92634a, 0x7d9a44af, 0xff9ee1f4, 0x5f93c198, 0x813ab459, 0x8667fc43, 0xab0c6386, 0x35b23c79,
+    0x4f099214, 0x355a2472, 0xea7e1390, 0xb925252c, 0x148bc29f, 0x1cb12640, 0xe52b17ec, 0x057f92c7,
+    0x7d7731f6, 0xc9981dad, 0xfc944b8e, 0xc3d16b8a, 0xd70cf361, 0x4ad7fd07, 0xb71b4a9c, 0xc887c31c,
+    0xd31a35aa, 0x2c04883c, 0x2e6e8fdd, 0x9e676779, 0x2194a5a0, 0xa30cf2d4, 0x7c179276, 0x31fab7f1,
+    0xfdc8eb60, 0x0e2dee84, 0x2b180ed6, 0xc480efe7, 0xb93d555b, 0x5b22c5f9, 0x0ab9ea35, 0x3ddab599,
+    0xe2835b8c, 0xd3fde912, 0xd1710725, 0xdbc7274d, 0x2947ad18, 0x94d6d62b, 0x290a0d6e, 0x18f4997b,
+    0x2f3929f5, 0xca338630, 0x364a77fc, 0xb24a2e63, 0x71eba47c, 0x81c97327, 0x221bbf89, 0x9bfafaf4,
+    0xd2604c9e, 0x0a664d01, 0x7fd89f1a, 0x800ccabd, 0xa2383558, 0xb500d11e, 0x97c33a59, 0xff2eb37d,
+    0x70e65db4, 0xc01effce, 0x04c181d4, 0x844f33a5, 0x0802d439, 0xb58b2637, 0xa447f53b, 0xe04fad1b,
+    0x8b2dba18, 0x1376ea94, 0x236e8d55, 0x17be1d3e, 0xea5b069d, 0xb1c4f332, 0xbb3bceb0, 0x1d6fddde,
+    0x8d729997, 0x7c43be31, 0x62c43581, 0x0a24de4c, 0x1f5acaff, 0xfd298d4f, 0x45d58e2d, 0xd324992f,
+    0x3041347b, 0x87baf178, 0xaf9c1d95, 0x3fd1d758, 0xe76fe9c0, 0x3d6959f4, 0x903dcd43, 0xda123577,
+    0x2c242537, 0xd953a72e, 0xc851c447, 0xdf63a745, 0xd244db90, 0x67ef6496, 0xc2320b2d, 0xf41bc5ec,
+    0xce95c200, 0xf4356aaa, 0xfbac6ded, 0xed37176e, 0x714a0797, 0xdbc241a6, 0x8d2b3e9e, 0x125e4d70,
+    0x16326935, 0x7d6e7224, 0x604181db, 0xb800943c, 0x191b92f2, 0x01a0a597, 0x924eca55, 0x77522911,
+    0xd99ac113, 0x3cf41ce1, 0x28366e9e, 0x9bdfbdb0, 0x280312ef, 0xb6472d38, 0x7d9099df, 0xcb1bcc44,
+    0x44c2c69e, 0x69f7191f, 0xa6b17988, 0x0d69ec1a, 0xfb508fbc, 0xb0dfc9a8, 0x706300fe, 0x8bb416b2,
+    0xdfab4ae4, 0x576041e3, 0xb3024a56, 0x45736ee9, 0xa67dbc04, 0x81126aeb, 0xf3ff9d3c, 0xde190e3d,
+    0x8c751127, 0x1a920f22, 0x298da3d7, 0x64b8c4f7, 0x97057402, 0x90cce265, 0x1a209f11, 0x332e084d,
+    0xedb230f3, 0xd9693093, 0x04e15b0b, 0x9ce77455, 0x648dfd98, 0x323fc6af, 0x0648967f, 0x92f788bb,
+    0x75c25942, 0xa5f9cd8b, 0xafe27d5c, 0x5cbfc6c8, 0x11e332b8, 0x230ef107, 0x1454e2d3, 0x4a2a192f,
+    0xb0e9323c, 0x883f877b, 0x8b11482d, 0x3c44bafd, 0x1b1953fe, 0x084ac753, 0x51cffb82, 0x3f588afc,
+    0x4abcf910, 0x0e8e8b7f, 0x8e9f050b, 0x73dc81c4, 0x6cb81329, 0x0705dfb1, 0xc38ab7e8, 0xc74943b9,
+    0x39073a99, 0xff50b8f4, 0xc2fd2852, 0xce1d4c45, 0x3363f580, 0x6af1b4c6, 0xb6040a3e, 0xe9816bbd,
+    0x6e37cdc1, 0x3c28f492, 0x834f64d7, 0x7800f5d7, 0x471d4ddc, 0x8b86751a, 0xe3d2b393, 0xa86ba38c,
+    0xaec29d53, 0x37659963, 0x3592973b, 0x713716a7, 0xf0c0736a, 0x014a3422, 0x644886fd, 0x4b3535d0,
+    0x9c6fce16, 0xa98afbe9, 0x3d259f20, 0x9b558380, 0xc1330f4d, 0x68a0cc3e, 0x012d49a2, 0xb9e562f0,
+    0x0361ddc6, 0xfd361e13, 0x54905e09, 0x79b37334, 0x0ea9d85a, 0x5567511f, 0x0fcf352e, 0xdda00f80,
+    0x484c1bd8, 0x83adefa0, 0xb553eb6a, 0x220c8e88, 0x9baf2820, 0x044a3e3f, 0x9ae84761, 0x9d400613,
+    0xa9301981, 0x9b728dcb, 0x358385f8, 0x1ba89519, 0x4ffcffa2, 0x7c153c4e, 0x9738e778, 0x6c091cb9,
+    0xb56dc53b, 0xaff65b6b, 0x4e79dc69, 0xe0b74c6b, 0x56eb47ec, 0x0978c5df, 0xab24db84, 0x640b9227,
+    0xd6bd844b, 0xa9eb15b5, 0x09be550a, 0x313de415, 0x0b76e3a5, 0x3fea5f22, 0x5380857b, 0xe8316b1d,
+    0xb5f6c372, 0x291252ac, 0xaeb49b7b, 0x1cb20360, 0xfc4424b9, 0x02eb33ed, 0xe318ce36, 0xf440f00f,
+    0x5b845424, 0x23dbc2e4, 0x7ba976db, 0x7111f961, 0x8f02780f, 0xe20e81e5, 0x92a83fb2, 0x5b9d491a,
+    0x25d027c1, 0xfa09825a, 0xbf0e1870, 0x76598f74, 0x716e0cf6, 0x6bf80df9, 0x0a704b27, 0x511603a4,
+    0x4686f289, 0x3fd8f399, 0xcb9f647d, 0x60a7e3fa, 0xa07d4703, 0xd6b5d2f3, 0x3239c586, 0x56179963,
+    0x1e28ee62, 0x086da58a, 0x244a1eb5, 0xa90a4499, 0x8eacd213, 0x8e18a66a, 0xbd0932df, 0xe1754801,
+    0x52849c91, 0x126c1221, 0x0d4ca71d, 0x9caca68d, 0x069a6ad4, 0x4c1168d6, 0xf6cd2d93, 0x829982fc,
+    0x00000000,
+    0x88ab8316, 0xe66bc085, 0xf461e98b, 0xb9254dfd, 0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402,
+    0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000021359870359209100823\
+                          95021706169552114602704522356652769947041607822219725780640550022962086936576 */
+  { 0x00000000,
+    0x63ce064b, 0x6bc76c81, 0x63a79fe2, 0xb4981eaf, 0xbc5f3053, 0xd5636050, 0x6f5d8703, 0xceedf69f,
+    0x3305f214, 0x8268153b, 0xbb1e359e, 0x83fc77b3, 0x1da1497d, 0x93228b5d, 0xbf22ef5d, 0x05463ba7,
+    0x2ed88b01, 0x88c7679e, 0x3d215a30, 0xe2cb4e43, 0x8f42976d, 0xf83a0536, 0x57a176c6, 0xfc1e9e1c,
+    0xf146a549, 0xbeb989c4, 0x5368fcb0, 0x1dd576bb, 0x36f8ad83, 0x770c02bf, 0x324618d3, 0xbda55a33,
+    0x1f3e1c1a, 0x3c9820e9, 0x4998f718, 0xa81ea2fc, 0x05790c3f, 0xb3f29815, 0x133734fe, 0xc985e343,
+    0xf4cd6703, 0xa419949d, 0x7a498f1a, 0x15883d93, 0xb075ee4e, 0x1b951006, 0xcbd38c85, 0xc855f0c9,
+    0x7b6bfde7, 0x6f16dabd, 0x45598a02, 0xe2bbc7bb, 0x0ec90fcd, 0x9eca9b0a, 0x91e3e69b, 0xa584f566,
+    0x22c76997, 0x9eeb0efe, 0x203339e4, 0xf7c65a50, 0x64a19025, 0xb9ea5ee9, 0xedce828b, 0x96741b1c,
+    0x6f918506, 0xf6e0a1ea, 0xec16b355, 0x4afe2240, 0x8968a826, 0x5ba5badd, 0x75d256d2, 0x8ec8265b,
+    0xd51952c0, 0x4bcb2ee3, 0x58aec8e0, 0x8f6cf209, 0x2a494a30, 0xfcf2054d, 0x96326d9d, 0xba93367b,
+    0xb931c67a, 0x698bd347, 0x18c68d0c, 0x3f6244e3, 0x753b4ce7, 0x6977804f, 0xc545637a, 0x7121c91f,
+    0x64966cbd, 0x2f4a40ab, 0xa69cb7ed, 0x07696f0f, 0xf742e499, 0xbf178870, 0x2cb44cc9, 0x2420a91b,
+    0x2512bb18, 0x36df417f, 0x4b5b0375, 0xeca66571, 0x27d63547, 0x63d4f8a5, 0x517e6d3b, 0xcb6e6c50,
+    0x41d9ca5b, 0x7045e5e5, 0x649e279c, 0x02a257ec, 0x97e5e2b4, 0xd1d8c0cf, 0xad480670, 0x6f73c4a0,
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+    0x82ee007c, 0x3a9844a6, 0x8eeabf39, 0x672c03c2, 0xac24bab9, 0xfaf46067, 0xaa999129, 0x4835e4cd,
+    0xe0a70f61, 0xd47da29f, 0x31950e1c, 0xafd6331f, 0xc5169aa2, 0x47109fc0, 0xe16f4e39, 0x1f22d48d,
+    0x6dcd3721, 0x59563f10, 0x9e2276ea, 0x7203247e, 0xd4c202e0, 0xc918b7bd, 0x74c7431e, 0xe82f9f80,
+    0x6b62f703, 0x2992c9a7, 0x5c88cde3, 0xf04e0f8b, 0xa1291c69, 0x014789a0, 0x2ad0bd88, 0x1542bc34,
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+    0x132b57c2, 0x08f74d95, 0xc2ec0d74, 0xc94cd373, 0x2512eece, 0xd101ad9b, 0xbb61e61c, 0x79e770be,
+    0x25011664, 0xcaa8b1f4, 0xe8a1f0b6, 0x9a6e0d3e, 0x4079ef53, 0x32fbb686, 0x8478ec2a, 0x93febf6f,
+    0x53288492, 0x3f188413, 0xcfb7eeea, 0x00b5f7cc, 0x90a64f18, 0x0d52e283, 0x7454fd86, 0xe5930141,
+    0xe8c7f48c, 0x1e9c4f7f, 0x2a0072d0, 0xaf84224d, 0xe649473e, 0x5ad5e149, 0x8ab48ab0, 0xda5bf7d8,
+    0xa4503657, 0x3ef03a0c, 0x3548b182, 0xd765ec35, 0x1e18baae, 0xe7e6ef24, 0xbc839a52, 0x43a444d0,
+    0xdb22e372, 0x39a87887, 0x5269af46, 0x901d3490, 0x23d3b66d, 0x4a46bee0, 0x327915c0, 0xbf4fda0f,
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+    0xf8a1fbf7, 0xe96a26c7, 0x4e314901, 0x3a189cab, 0xaa7e83ee, 0xf6dd20f8, 0x5fd74b57, 0x5a1f9b29,
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+    0xd64aeb42, 0x0e687dd0, 0x9f6b9a6f, 0xdfb9e25e, 0x40c7c139, 0x9d41a2cf, 0xbc75f4c7, 0x4266df3a,
+    0x338ed49a, 0x9ee43d21, 0x99bb42d0, 0xc906fb93, 0xadf02c42, 0x823bbfd2, 0x2fccb813, 0x32295274,
+    0xe796cc65, 0xa726d544, 0x5c6fbee9, 0x22ecd341, 0x2d4f9a55, 0xc69d4fab, 0x31bb9fb4, 0xf333ec6e,
+    0x67b190a1, 0x7635284d, 0x6beaf903, 0x3e18d166, 0xb7a1d11c, 0x437feec5, 0x923ed232, 0x0f4864a8,
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+    0xb2852f51, 0x16563418, 0x4931c9ec, 0x3a82b79d, 0x82facdc4, 0x846de7ee, 0x7939c1ff, 0xdc48e534,
+    0x3505ed2b, 0xf9877300, 0xb9c0c832, 0x635a0401, 0x0cf9444b, 0x1ba0b290, 0x4911a198, 0x05186321,
+    0x2be8fb5d, 0xb825c90f, 0xb9cd84a3, 0xa447c09f, 0x1efd93ac, 0xb1f669e7, 0xd9ff5a0f, 0x1c37dfcd,
+    0x82af7de8, 0x04fcd144, 0xf93237a4, 0xee24218e, 0x87ca8747, 0xd59f9222, 0x183f6abc, 0x097abcd9,
+    0xf2577427, 0x178bf06a, 0xcd27354e, 0xcf61c670, 0x352d1697, 0xfa3d2f3c, 0xb90c8059, 0x3053de96,
+    0x4324d3a4, 0x7ea0c335, 0x879ce159, 0x1686f20e, 0x9fa1a92a, 0xf01a55ad, 0xf9bb37f8, 0x4c120c0d,
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+    0x75664bc4, 0xb5189d4b, 0x03184bc4, 0x377ab551, 0x24129e2e, 0x00315eed, 0x90c06170, 0x360213a9,
+    0xc44573fa, 0x39c20ad1, 0xea611207, 0x3fb05897, 0xbd522585, 0x7f7498fc, 0xdf4ee9e0, 0x7e5cb2d5,
+    0xc68ec3c0, 0xbeb4270d, 0x8dd74ecd, 0xe9863623, 0xc4abae08, 0x33b6b72a, 0x255feb65, 0xf75cbc99,
+    0xc3ea7582, 0x3ac04901, 0x688aeaa7, 0x2b6509d2, 0x1487f3a1, 0xaefd1cf7, 0x309fbda5, 0xde8ca06e,
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+    0x727de559, 0xa1a3e64b, 0xbf77ef13, 0xfe050928, 0x9b58beff, 0xd344fd61, 0xee1eff76, 0x83702ff0,
+    0x8bd1851d, 0xe2eeee4f, 0xd5d92c19, 0xb11c2209, 0x6d112259, 0x2578e7ab, 0x0144cc8b, 0x7cba52d1,
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+    0x6f15b913, 0xef1250f0, 0xc86601eb, 0xc5cd9e9f, 0x41096306, 0xb364e8d9, 0xff959d3d, 0xe93ef1c2,
+    0xdabade6a, 0x8fe02373, 0xc834952a, 0xdea60054, 0x0e075e7d, 0xebbdc45a, 0xea129275, 0x261c1d2a,
+    0xc1668a32, 0x0f7f8dd7, 0xbae5723e, 0x6451fcf1, 0x77995789, 0x73d8083c, 0x38f589d5, 0x7acedabd,
+    0x31123c24, 0xef51fd6e, 0xa0f9ed99, 0x22ef894a, 0x4608bdfb, 0x018b5bd3, 0x99fd6e61, 0x9f02d419,
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+    0xb4c6d96d, 0x43985374, 0x6191abbc, 0x737339ec, 0x902cd5a6, 0x0c3668ba, 0xcacb250e, 0x2510ff6b,
+    0x0c00681f, 0x6eb6d917, 0x4fc35352, 0x58b28eea, 0x33cb16d8, 0x4e63cf3c, 0xebaeba5f, 0xd96cc7e9,
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+    0x114d2358, 0x1933302a, 0xfe0dc7a6, 0x139af248, 0xea195a21, 0x2effd814, 0x4ea875f6, 0x8061587d,
+    0x5a120adc, 0xb60a0f0c, 0xf4fdf400, 0xaf9cf179, 0x9920aa79, 0x8037af36, 0x1adc9d0d, 0x4b07456d,
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+    0x41817fbb, 0xb4254a29, 0x1fe86ab9, 0x49533190, 0x5d21ba65, 0x25cae6d2, 0x31fdbadf, 0x8d68a471,
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+    0x5ddad545, 0xae0ccc13, 0xe4adaa16, 0x196548b7, 0x138896da, 0x17e85307, 0xb8bbe7a3, 0xb42269fa,
+    0xb7e837fb, 0x868cbf2c, 0xb5fe2a64, 0xea24cd60, 0xa9d4d74c, 0x2e41e2f7, 0x6c5df875, 0x4fd305cc,
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+    0x1b27f320, 0x92f65484, 0xa8978b54, 0xca639ee9, 0x1d07286d, 0x137788b9, 0x914a4556, 0x49527d17,
+    0xdd80ac9e, 0xe6004372, 0xd0b47799, 0x271bcc57, 0x81a1295c, 0xf3894a9c, 0xb169a08d, 0x25561be6,
+    0xc129463b, 0x69d3df33, 0xb5fc91be, 0xcfb4ba6f, 0x247d1e89, 0x64cdead8, 0x52e86cb1, 0x6e2e3b34,
+    0x39c41cf5, 0xb3321e00, 0x967442f0, 0xad555c80, 0x0fd4de7e, 0x5a359494, 0x481cf9c4, 0x47c9b503,
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+    0x2c91114b, 0xf4bbdd01, 0x9032b138, 0x85996256, 0xe322e4ed, 0x15cb8f3f, 0x8133a192, 0x4bfa8c7b,
+    0x88389216, 0xca1eee9a, 0xbf161476, 0x2e6aa4dd, 0x812a0887, 0xb1497dc6, 0xa1164ebe, 0xda569829,
+    0x7c86717a, 0x875d92b0, 0x61465f9c, 0x0693fef7, 0xf276334b, 0x29da3992, 0x1f9ec68e, 0x5304c8cd,
+    0x609baa9e, 0x0d57cadf, 0xe4e8566e, 0x8e42684e, 0x5c6d9e2c, 0x160f5fb6, 0x403b71b6, 0xfd170595,
+    0xc855c326, 0x2cc260fa, 0x624d5ac1, 0x004a349e, 0xaf09e9ec, 0xf780f8bb, 0x11fd1376, 0x3ee330e3,
+    0x21733704, 0x94b8a927, 0xcc37d1c4, 0x7b008d1e, 0xc5a83c5d, 0xff424a12, 0x2880fd54, 0xcf5e6660,
+    0xe877f7d1, 0x647b4d13, 0x3a612dc8, 0xeda8c6d0, 0xd7d762c6, 0x0ce7e829, 0xad510d70, 0x8bd549c4,
+    0x560ccc34, 0xc1ae2b9e, 0xd7f7d5e8, 0xffec92f0, 0xf11f19c0, 0xfe43d8ff, 0x7fc19d9d, 0xacb35b0b,
+    0x76c776b8, 0x1dae92ca, 0x69b5c483, 0x9a23095f, 0x24f5b99e, 0x1a200a13, 0xd681985b, 0xe1f035f9,
+    0x779c1849, 0x039bb154, 0x073f5b95, 0x57a2819a, 0x2988e0a7, 0x81b5a63b, 0x12c391be, 0xcb194fa1,
+    0x2687361f, 0xfdd13ad4, 0x11c816b9, 0x26321c1a, 0xbd704e2b, 0xb3341efa, 0x7c08b4e8, 0xf112998f,
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+    0x4d22d428, 0x8aa148a3, 0x431221b0, 0x1e059dc1, 0xac1aa43f, 0x8f627356, 0x6a8332e5, 0x6fe94f2a,
+    0xb1106e3d, 0x686367ec, 0x902c22ac, 0xc5979a57, 0xe88be340, 0x3b9ddb3c, 0x1840d6d7, 0xd1bbec9b,
+    0x66fe07be, 0xd0281c3f, 0x9915ad3e, 0x7e3f1b92, 0xabf67415, 0x78c4da04, 0xde28c2f2, 0xddd5a524,
+    0x0aa3b11a, 0x5ac9bba9, 0xfd7ab246, 0x6af194b3, 0xb174e815, 0x45987077, 0x19ce62e8, 0xb47ebbb9,
+    0xd6a0401f, 0xa5badac6, 0x1472b86a, 0x1142ccff, 0xd6bc4829, 0xf678e6e0, 0x440ac827, 0x50e419a0,
+    0xab9627c9, 0x37438691, 0x31b3e243, 0xc0450a79, 0x7c3f83ab, 0xb37f258e, 0x2cc34a5e, 0x7a04cf49,
+    0x691a7e2d, 0x2742c6f2, 0x63ce1108, 0x289f427f, 0x7ef5bd3a, 0xefd84416, 0xb6bc4844, 0x1cdc332f,
+    0x76ba57ee, 0xeb8f85f1, 0xbce90c9c, 0x735ce879, 0xe7d78daa, 0xd437fd06, 0xc82fefbf, 0xf9f7be1c,
+    0x8d33a5c2, 0xa85aa2d8, 0x0a2e17cc, 0xf2be5548, 0x6d99aaba, 0x7b671b29, 0xc929dfd2, 0xd3235682,
+    0x4a910ca0, 0xe7404317, 0x5e3acfd9, 0x8362ea30, 0x17668c2a, 0x1abf2342, 0xffb36223, 0xc7580225,
+    0xf5c61413, 0x20c1db5b, 0x4d7e13d1, 0x0e0fc8a3, 0x0c4fd69e, 0x9041cee9, 0x81d1b46d, 0x6a7a566e,
+    0xd821d5b1, 0x271ea4b1, 0xed73430c, 0xd8ca119a, 0x7b300846, 0x05f46026, 0x96f6b104, 0x29a314f8,
+    0x17a2d390, 0x8ed02f5f, 0x0b695a37, 0x40d022d0, 0xa48ca24e, 0x474a85c7, 0x8d22dfd1, 0x4d82d124,
+    0x0c46d764, 0x3dc3c10d, 0x57d21d57, 0x78999b63, 0x8c76279a, 0xacb8d6d0, 0xbf077efb, 0x98004329,
+    0x39268095, 0x358b01a0, 0x9d38b3d3, 0x22252b0a, 0x8a8e5181, 0xb0487c78, 0x2c824d93, 0xfd3b6a4d,
+    0x0ba1d2e5, 0x9806fa06, 0xfa7d5ef4, 0x31f18e96, 0x0db9589c, 0x5d3a09a0, 0x0681e7bf, 0x44f126b7,
+    0xfeb2ebce, 0x6532324d, 0xf2b2b2b2, 0x36991b4a, 0xf36f3170, 0x3b902c2d, 0x1ac54e14, 0xf1b50c02,
+    0xc8f91008, 0x85a5c6f6, 0x77d80f00, 0x137d9736, 0x77145f8b, 0x5b5d191c, 0xcb8ac97c, 0x120d8aff,
+    0xc0c3e398, 0x0a062951, 0x41387e50, 0x7aee5d1b, 0x65a1e8e4, 0x2dc6347d, 0x931ee7c7, 0x5f9968c2,
+    0xefaef08d, 0xfa548d9a, 0x5fe24129, 0x4735463f, 0x766a64d8, 0xc05e83f0, 0x4932da4b, 0x1d517edb,
+    0x30da047f, 0xbc155b19, 0xac4db2e2, 0x2ff87e2f, 0xfcad7179, 0x73700733, 0x5afa0f87, 0xfb4c41e0,
+    0x4df6dc5c, 0x06c446ea, 0x0b64ebb4, 0x0dc0fdf7, 0x8665b42e, 0xb39ff648, 0x957b7ade, 0xdb7d6486,
+    0x7d1f40d7, 0x84985eb6, 0x73c57d8a, 0xbd89c59b, 0x584404cd, 0xb0094a99, 0x0cc46cb8, 0x1528d54e,
+    0x8b819fe2, 0x96cdbb17, 0x1df71878, 0x5b5005ec, 0x97f13769, 0x00fbfdc8, 0x36b6f835, 0x7c753caa,
+    0x9aed670f, 0xb30bc944, 0x0c7a6ae6, 0xb9ab9453, 0x59d9d0d3, 0x5684587f, 0x2f64abdd, 0x342657cc,
+    0x3f050cfa, 0xf4169a4f, 0xef554aa9, 0x49060627, 0xeb409965, 0x13995c8d, 0x5af2b8e9, 0xb375e8b3,
+    0x6fc75e04, 0x8d528155, 0xe8a967ba, 0xa56d0ba4, 0x28d9bdcd, 0x19df8ccd, 0x55ec9d56, 0x9c97fcf7,
+    0x0692ab82, 0xdb58e5e1, 0x8980a5ff, 0x66e13f9b, 0xb28d0ed8, 0xf26b6515, 0xad3ed3af, 0x02735419,
+    0x84d1eb85, 0xb8c82380, 0x3b13e19d, 0x0a2cc4d1, 0xad79c3ab, 0x68ec26b6, 0x428abd2a, 0x94a89ce2,
+    0x4a5e8bf7, 0x4e8a5ec2, 0x4b957f44, 0xe0ec9047, 0xf930b837, 0x339d7e81, 0xcb48af01, 0x5a4d94e2,
+    0xff992965, 0x19fefcb9, 0x10e7ac11, 0xffaade17, 0x048d2a6d, 0x48b282d8, 0xb93036c8, 0x2e75aa15,
+    0x05521b7e, 0x62d204af, 0xc870ea3e, 0x996d4ac9, 0x223ef75d, 0x60786881, 0x8a4b2329, 0xb6d92c22,
+    0x00000000,
+    0xc455c18a, 0xf335e042, 0xfa30f4c5, 0xdc92a6fe, 0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201,
+    0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000010679935179604550411\
+                          97510853084776057301352261178326384973520803911109862890320275011481043468288 */
+  { 0x00000000,
+    0x058b5d96, 0x83d5c1b0, 0x4aeaa5c2, 0x334320eb, 0xac6c9a48, 0x0451caf0, 0xf166d0fa, 0xae8df4ee,
+    0xebf730ce, 0x1596280b, 0xacabe96b, 0x763684c3, 0x6673d208, 0x7ea26e0f, 0x4ec32dc6, 0x9f116f1f,
+    0x8e55bca2, 0x0a87f761, 0x1168fb8a, 0x47d20393, 0x7d054cd9, 0x40856a1e, 0xccd8fc9e, 0xe23f6a93,
+    0xefc141d2, 0xdb3718c9, 0x680ea146, 0xbe12b041, 0xc058675f, 0x236e6010, 0xd39cb97f, 0x5388982b,
+    0xe78ea2e3, 0xbb1811a6, 0x71b1b5e6, 0x641173e0, 0x114a65a6, 0xf07496bc, 0x9a288e5e, 0x3f2aed84,
+    0x89b40908, 0xd3fc55a6, 0xf480ceaa, 0xa9f3d21a, 0x977449c3, 0xf6c8e593, 0x313e2909, 0x5885bb5c,
+    0xad3909b9, 0x29ac3586, 0x0abe72ff, 0x40e7afab, 0xbc322d1c, 0x97729980, 0xde596d12, 0xeeb8f53c,
+    0x9a6dd3bf, 0xd922c985, 0x909b0708, 0x45be050f, 0x228636f1, 0x730c41da, 0xf333b996, 0x5aaaedc4,
+    0x309cde6e, 0xb0923e7b, 0x4b8f1791, 0xb74b6d07, 0x003232ff, 0x95f9bd1f, 0xa9cfa686, 0x7863d944,
+    0xa9f54a73, 0xda3a1f8c, 0xb221e586, 0xfab138d9, 0x07044e08, 0x48390a29, 0x96f94c5b, 0x16675de9,
+    0xd845fbdb, 0xb306e0dc, 0x1259839a, 0x92c74127, 0x35a7ad01, 0x4547c7f1, 0x452cdb07, 0x650f694e,
+    0x7e978b39, 0x4c35ee83, 0xd2272eef, 0x34ff5d91, 0x55de1ed4, 0x980ae0bc, 0x5430f8d4, 0x1d20df75,
+    0x24c73611, 0xb5e07565, 0xd8658688, 0xc6d76a26, 0x329bf7e2, 0x5cb3994d, 0x5e7582a3, 0x7d726c60,
+    0x880696d7, 0xe4d6a93b, 0xd2ecc3a2, 0x442ad503, 0xf5272039, 0xa60b53d9, 0x1c015fac, 0xd3490671,
+    0xa241784b, 0xdb595465, 0x4e1406a6, 0x44045c36, 0xcff3e4c1, 0xa5e27ded, 0xed1f1c14, 0x81638eed,
+    0xbf3e6e7d, 0x36ad6d5e, 0x57ab03c4, 0x9c335727, 0x123ff884, 0x4a90c6fb, 0xcd441016, 0xe10542ef,
+    0x625cb2b8, 0x5bce8122, 0xfe251ca3, 0x7be71b42, 0x9211ebbd, 0xe5eb1327, 0x77d10ad5, 0x74a1bcae,
+    0x78a05aa2, 0xee6263b7, 0xc2f54309, 0xcc7d3595, 0xee57315d, 0xe3697491, 0x18e26e8d, 0xa0336fd5,
+    0x08d34c51, 0x42134081, 0x8ed547a9, 0x935c9846, 0xfe3f5fd5, 0x9e8b6ba3, 0x1d946ee3, 0xaa782771,
+    0xd2d2cd27, 0x094497c6, 0xf95a3ecf, 0x662485c7, 0x23c9507d, 0x16e273bb, 0xcfaf7cf0, 0xa14c92a7,
+    0xc5a408ae, 0xf6396709, 0x356f17dd, 0x646b11a9, 0x02a6fbdc, 0xc8a9c795, 0xfee7c6fa, 0x67f113cb,
+    0x3fd9b8e2, 0xe520ddc0, 0x1d9f3552, 0xb4ce65f0, 0x2ca6e04f, 0x84a1b907, 0xbb339e70, 0xa9123d73,
+    0x8c8bb9d0, 0xa6ac1120, 0x8450511e, 0xb0f882ca, 0x20942ff1, 0xc583628f, 0x98034448, 0x3911aced,
+    0xdfd7ed6d, 0x1c8a97c7, 0x0af0c0dc, 0xf1f7bccc, 0xa86ce4c6, 0x6fcbb723, 0x9c2875e1, 0x0ad1436b,
+    0x54cc97f4, 0xd00869a7, 0x633ff277, 0xbe2ba814, 0xcc9a7247, 0x5ba5305d, 0x380fcb03, 0xb1e40d92,
+    0x318b6243, 0x7ad184b8, 0x372fc9b9, 0x87acb03a, 0xd93a05f9, 0x448ff736, 0x89d61326, 0xe5bc1942,
+    0x74d42728, 0x901a97bf, 0x16636bd6, 0x81cb2578, 0xaf0c23b8, 0xe8ca33fd, 0x862ee416, 0x38b06333,
+    0xf8a7c179, 0x71d27248, 0xfd20ca9d, 0xc1b94af3, 0xbe1c6300, 0xd3a313c7, 0x59ed99ef, 0x52917066,
+    0x074ffbab, 0x8fc5ee89, 0x7981b7eb, 0xc45cfc97, 0x5f30616c, 0x727ac46b, 0x50bb8116, 0x0039a163,
+    0x00639466, 0x3510e629, 0x1cb4c0de, 0x2f787df2, 0xdd8e6b01, 0x871fb6e2, 0xe8f7eab1, 0x4e9f81ff,
+    0x7779646f, 0xed20b405, 0xf8b4d98a, 0x125d65a8, 0x0df73042, 0xdf826fd3, 0xaacfc3f4, 0xaaae9041,
+    0x7fa344a0, 0x579d8ddb, 0xed1c469f, 0x534e5105, 0xf5fd3b73, 0xa0044ac9, 0x1a67d8cd, 0xb785a91c,
+    0x7e800246, 0x23097337, 0xd10c11b4, 0x6e72221e, 0x44ee6a54, 0x3b41dce3, 0x5ca00610, 0xe8b1ab40,
+    0x56022887, 0xd8a5670b, 0x559445b4, 0xc738f40f, 0x0ec8af3c, 0x3e408307, 0x8ee49bc6, 0xe376c57a,
+    0xeda66163, 0x24b92ee2, 0xd4af2a3b, 0x5d8b96cd, 0x05e1ab65, 0x06588a03, 0xb3755b4a, 0xdb8a6539,
+    0xc8960fd0, 0x5477142f, 0x059c9003, 0xfb6ccbb3, 0x97375637, 0x5907c2f3, 0x4ed3115c, 0x50a9f523,
+    0x40b28ab4, 0x05c290c9, 0xee5ba82e, 0x59988272, 0x498bc85d, 0xdeda826d, 0xc8acadd3, 0x9a64077d,
+    0xe8cdb832, 0xa692605c, 0xb9a24a07, 0x9a7355c4, 0x22fa1c2f, 0xa26a7c29, 0x8a642093, 0x24086a47,
+    0xc881d449, 0x22839b99, 0x28f84c5f, 0x211af00b, 0x81bece19, 0xab9bcc51, 0x3edd9584, 0xfa39fd7e,
+    0xf2145964, 0xf3e3d9f3, 0x7c5866a1, 0x6887ba7d, 0x55bdda32, 0x2c2cfbf7, 0x60671a92, 0x40680cba,
+    0x5448fd19, 0xead335dd, 0x1ae819bb, 0xa5479738, 0x7aa831bc, 0x7af007ae, 0x94df6360, 0xbc50542f,
+    0x24f7f729, 0x4a3aa228, 0xf883a285, 0x66cda118, 0x2d5b7875, 0x58da5b56, 0x9df5aa4e, 0x4bba0b46,
+    0xe6da4704, 0x59fb2185, 0xfc4ccdbf, 0x10ccf737, 0x7025b2da, 0x33c0c8e9, 0x8493b1e7, 0x700b4789,
+    0xca2a2ade, 0xaa93d812, 0xe753e401, 0xd1b59269, 0xe133b1ae, 0xb83ff47d, 0x836efb69, 0x944e685d,
+    0x785dda4d, 0xbdc2964c, 0x62f79cbb, 0x7b070484, 0xc4cd3d23, 0xe7fc08d3, 0xd85c4395, 0x8fa9c495,
+    0xde787dcd, 0xf0e1983b, 0x4525b463, 0xec12dd83, 0x1b2c82ea, 0x64323d2c, 0x30b5936f, 0x8b984753,
+    0xcf5af44a, 0x6f77d2d7, 0xa594eb22, 0xcc2c0800, 0xb819bf7c, 0x3ca6946e, 0xa681c8a8, 0xf0f8d6f7,
+    0x8bf7b336, 0x315d34ef, 0xca135a87, 0x9ac161b8, 0x849f9ea8, 0x76a68788, 0x480dbd4d, 0xa958d2da,
+    0x957fe926, 0x291a0585, 0x466ab838, 0xa8b6b569, 0x78ccd527, 0xe1acc43c, 0x8a82fef4, 0x5a820750,
+    0x2a5253bb, 0x8d0c8af9, 0x2388fb46, 0x5f89941e, 0x0886c713, 0xfef49b77, 0xa27ffc34, 0x4ca8deba,
+    0xc7eb2785, 0x9234e105, 0x489e0b75, 0x2d3e2d05, 0x7e535811, 0x11ef5b12, 0xfeace018, 0xd168d9de,
+    0x95f79044, 0xd720bf71, 0xa2227c65, 0x7188aa0d, 0x535bc0e4, 0x2e6b7c72, 0x04e57c70, 0x1e4c7a61,
+    0x89c4fcc9, 0x435e0e9a, 0xa81ab9d0, 0x167787d4, 0xd6a279de, 0x2c849ef7, 0x56094763, 0x8815540e,
+    0xef3aa8e3, 0x23787b86, 0xac3c18fb, 0x487fee88, 0xf3437883, 0xd155d090, 0x14ee10d0, 0xd8a64f79,
+    0xeff9cbc0, 0x6541808c, 0x4ca7b40f, 0xd6d49645, 0xeac46566, 0x30d13d56, 0x69dfe276, 0x0cebb35c,
+    0x3b67b3cc, 0x27b4e3e8, 0x19ec9b2c, 0xe013ebdd, 0xb7b11508, 0x63dc7d8b, 0x47c9d7c6, 0xbb091cd0,
+    0x49f730b6, 0xde343a9e, 0x396eeb28, 0x1c37e118, 0x0062e863, 0xf6991ff7, 0x05ee348f, 0x7895e977,
+    0x4c902436, 0x87159332, 0x879dca17, 0xffd36398, 0xb7cc800e, 0x8e82298c, 0xbb9c9d11, 0xa106e568,
+    0x9c40c5ba, 0x1d3036af, 0x2ced38b6, 0x0267b037, 0x93ddc2ba, 0x4706c9fc, 0x18ef53d3, 0x5c8f8117,
+    0xc890fcef, 0xb30378f6, 0x5a15afc0, 0x4ac873e1, 0x5f683bf2, 0x4a4b160a, 0xe91bd3e0, 0x226bc6c9,
+    0x42c1014e, 0x0c5f31c1, 0xabee98a7, 0x261aaf81, 0xdab1c920, 0xea7903f8, 0xdee9b4a1, 0x050747f7,
+    0x082f6de3, 0x7a430ed3, 0xafe34d96, 0xdbd8d9bf, 0xc0f00238, 0x9905b963, 0x252f1b67, 0xacab89d0,
+    0x29642c7e, 0x6097c450, 0x436a3556, 0x3806eba0, 0x988cee23, 0xe4b2ed9b, 0xfce49fc9, 0x38c7da9c,
+    0xcebdf01d, 0x2c906599, 0xc1df9a0f, 0x0d8101d6, 0xbd820854, 0x18cc429d, 0x7e9f08ee, 0x574b45a0,
+    0x9bcc9b01, 0x6cbe169e, 0x22b536cf, 0x112bb7ec, 0xb809b457, 0x74ddb971, 0xd6910c36, 0x8aeeb3e6,
+    0x505d8148, 0xac5b3427, 0x5f204a90, 0x753ffb0c, 0x5a9e365f, 0x626e0c91, 0x7d30b68b, 0x400657e7,
+    0x33811bf5, 0x799d19c2, 0xf6bc4137, 0x936d0e8b, 0xeae0b513, 0x20d0a8c1, 0x1061baa5, 0x9f92b216,
+    0x1542c334, 0xc39743b1, 0x88fd0f8d, 0xbc1a007b, 0xe2871f61, 0x0fe3de40, 0x20fd4f01, 0x5de55275,
+    0xabb54cd6, 0x3f663478, 0xc5be6792, 0xd2fe4cd0, 0x96a6f804, 0x61e6dfa3, 0xe2ce159b, 0x2d39d5a3,
+    0x5b4f7ada, 0x9a924fcc, 0x771cdeb9, 0xd1f4c1cc, 0xaa573828, 0x61680e27, 0xf0fd5edc, 0xb89d7b85,
+    0xe1434af4, 0xdc587d7a, 0x70871715, 0xa4352809, 0xec0005d2, 0xed1ac686, 0x4ce68fb5, 0xa5865dba,
+    0xb53f4d0a, 0xbf88368f, 0x836182d6, 0x2f90a48f, 0x1ba6b722, 0x8a216e1d, 0xf5fbc398, 0xdd9a63d4,
+    0xb43a972c, 0x72f7e50f, 0x1609ae29, 0xd209c076, 0x68a5710f, 0x2ba63bbe, 0x2b965d5b, 0x9fead266,
+    0x144eb7ee, 0x36ff401b, 0x2dc9e6ee, 0x6d40d9b9, 0xcec04a0c, 0x171e5101, 0x8cc4933e, 0xdd1c8657,
+    0x408177ea, 0xfcc882d7, 0x90c4313d, 0x98925c39, 0xa5a8601c, 0xde89d184, 0xebaf0878, 0x407119dd,
+    0x926c2dce, 0x07a06fa3, 0x2d07e910, 0xe4712940, 0xc860ddfb, 0x89506842, 0xa6be0637, 0x84e44202,
+    0xf3558050, 0x837384c7, 0x8dbffee8, 0xa780de80, 0x184e4046, 0x76b62a9e, 0x5cf41fb4, 0xe0a29948,
+    0xb29501bd, 0xc7807aa0, 0x51d74320, 0xb8d866e7, 0x48283432, 0x15286530, 0xec9d1089, 0xa3c766fe,
+    0x17a297a9, 0x90aa7b19, 0xdfa1c214, 0x124a2d63, 0xf5c2ec43, 0x309a8251, 0x0be4e18c, 0x62004634,
+    0x6905a56b, 0x0b944532, 0x31076210, 0x4a7a3a88, 0x79d4b4af, 0xd0e309fd, 0xd2748a52, 0x40de4abe,
+    0x8a2296b1, 0xbfba9669, 0xd06db34c, 0x96a9e1b2, 0xbf281223, 0x7ef9ea41, 0xff8bf0dc, 0xb1f5be2b,
+    0x5f562edb, 0x41c3f8f0, 0x4d334599, 0x185a119c, 0x855c6e18, 0xa18f053b, 0x66f25a5f, 0xe07fddbd,
+    0x3842127b, 0x76efee2d, 0xf6549927, 0x466ee2b4, 0x5e5b5b77, 0x5c9ce288, 0x31003fca, 0x5f0169f3,
+    0x5e8eb01e, 0x2ce7d30f, 0x52cf437b, 0xe594a058, 0x22fa3a97, 0xb32e88b2, 0x4321ee69, 0xfda078df,
+    0x36611eec, 0x9d04ae97, 0x7f8fecde, 0x0fb18cb1, 0x38fafdb9, 0xa3af05ba, 0x83e13d5f, 0xe14a6f26,
+    0x411b9a5e, 0x6bc5537e, 0x45522be6, 0xbb351f4b, 0xf17d5917, 0xc1f9f422, 0xf14f5056, 0xbf78721b,
+    0x1368ddc3, 0x9dcfb132, 0x82217a23, 0x9d018eeb, 0x651893f8, 0xdbe407aa, 0x08535feb, 0x8279e51b,
+    0xd4da2c37, 0x7ee17a5a, 0x680acdae, 0xee2e99e5, 0xf401322a, 0x9297af58, 0xc60a2e8b, 0x7a9a489d,
+    0xa2c32bee, 0x786bcb89, 0x9446efa1, 0xc95dce7a, 0x50e76798, 0xb4eb04b2, 0x35951a35, 0xd8fb95e8,
+    0xc7714bad, 0x3827d5ef, 0x6b5e7759, 0x2c85029b, 0xdbed10fc, 0xdda7cfd9, 0x043cfa95, 0x5508d2d1,
+    0xb1050a00, 0x73c2500c, 0xbad370b7, 0x4290976c, 0xd78a3f82, 0xdc348fd1, 0x97c816ce, 0x2b20a689,
+    0xe084a48b, 0x76ea6a8c, 0xefccff59, 0xa8164a2a, 0x319ee037, 0xa9bdb1b4, 0x4d5ff662, 0xab4351a0,
+    0x8e407125, 0x4bd1ca6d, 0x09fe7652, 0x341de442, 0xbc47cefb, 0xa3d184af, 0x359c55e2, 0x94d7f90e,
+    0x21af16fb, 0x78392bc1, 0x60b4545a, 0x320c0e39, 0x042f5b6c, 0xd82fbefa, 0xa8ffbd3c, 0xca6d2f65,
+    0x1991ec90, 0x1c3f72d2, 0x2706dcda, 0x08f2c3c9, 0x44e53ec7, 0xc6e633e8, 0xf9da4acc, 0xb08e0d6a,
+    0x40d20ede, 0x1db86c3b, 0x778bc5c4, 0xab87dc6c, 0xb8c0e858, 0x4f4bca4c, 0x5de7fa00, 0x94778ce4,
+    0x65cfc94e, 0xbbb3b174, 0x4fefbb4c, 0x793c81fd, 0xcb25188e, 0x58b7b59b, 0xb49cf2cb, 0xbb31e2df,
+    0x978c87bf, 0x2514e51e, 0x644f897b, 0x8f3df2de, 0x445409a0, 0x2d74b3ff, 0x783abb45, 0xa72547c1,
+    0xf40ca9cb, 0x40c02dfd, 0x2994c984, 0x7abd2933, 0xafaf233b, 0x5c6ea767, 0xb89099b1, 0x79a47830,
+    0x3acbbeaf, 0xd6b9e52c, 0xdc5e2523, 0x266a52bd, 0x93f44e62, 0x8b062d01, 0x7132d9fc, 0xcda75ffb,
+    0x950ae082, 0xa8d5383c, 0x1dc506b5, 0xf5b8821f, 0xbcb2fef2, 0xa4e82500, 0x8c9f97b9, 0x4cca963a,
+    0x32fc0f8a, 0xb6019390, 0x0ba12134, 0x8f6b7774, 0x925fec58, 0x4c042d87, 0x7d5a0377, 0x7cd1e9e4,
+    0x4f6786d0, 0xb088e71b, 0xea284f95, 0x86fb9986, 0xeb18c4ee, 0x69ff7a38, 0xa427b138, 0x3b997be1,
+    0x1388c3a7, 0x795b89eb, 0x524341aa, 0xe1e81721, 0x8b48c395, 0x9223c6f7, 0x9f355a94, 0x938077f7,
+    0x753ca45d, 0xd62a4d65, 0xdb90e632, 0xfe616ba7, 0x0385f80c, 0x418bd126, 0x8900e648, 0x2c08c219,
+    0x675bdb92, 0x5a6a4b75, 0x9a34d1c2, 0x8931e9b4, 0x8a7fe620, 0x767023ea, 0xcad2a57f, 0xe98acc58,
+    0xd02b4693, 0xacade2a2, 0x0a870065, 0x1e124060, 0xceda6863, 0xb59351ce, 0x2a8ead81, 0x3ea80d43,
+    0xa6d601c8, 0x3510bf5b, 0x29a8ffbe, 0xe5177f99, 0xa784430d, 0xd3cf6d4e, 0x14225678, 0x9f414c91,
+    0xa1c2d6b6, 0x50d0b4f8, 0x305edfea, 0xdae38312, 0xd7abf50f, 0xf037fa59, 0x87a485f4, 0x728aba89,
+    0x02b538d2, 0x95da13fc, 0x87717eb5, 0x12fbacc5, 0x79110d8c, 0xfadf0753, 0x941688e6, 0xa5cdf7c1,
+    0x9f6deadc, 0x74c8e54c, 0x240043b8, 0xf311a3f6, 0xb00f35d8, 0x8c1d4886, 0xb1778eb1, 0x4682ad53,
+    0xcb4d29a6, 0xd38afd0d, 0xdb1a0552, 0xb193f6ed, 0xbb5e1c2b, 0xcf09a031, 0x3c08e69e, 0xe6364a6b,
+    0x62894bbc, 0x6f2c79c5, 0xb2b0232e, 0x88a71d37, 0xa7e75dec, 0xebe3fe36, 0xf87c2861, 0x493bcc7d,
+    0xf10e90f4, 0xc954e3e7, 0x91e180b0, 0x4d0a300b, 0x05e63034, 0x081548d5, 0x595db442, 0x29dd9ded,
+    0x35dcb0bf, 0x4898f471, 0x4db2b200, 0xc260f420, 0xe4453467, 0x69504ef9, 0xed1c3273, 0x45e998e3,
+    0xa87623d6, 0x6705b29f, 0xf6b2a377, 0xcff02a8f, 0x0eb5e765, 0xb56fb5cb, 0x5607ff11, 0x830f20a6,
+    0xf173b10d, 0x109bc640, 0xe65273ca, 0x5498e645, 0xecdcf12a, 0xbfb00a4d, 0x5bf6dd90, 0xbe6617b4,
+    0xd63701a2, 0xfb923724, 0xe3de2bb1, 0x9d08f726, 0x1a2c5dc7, 0x36a7e28b, 0x73b1b755, 0x8c0c7a54,
+    0x58563779, 0x48d0817a, 0x5b48071c, 0xf651d26d, 0xbf1a3274, 0x25326d0b, 0x4b88013c, 0x30d4549d,
+    0x14cb3391, 0xeb054ae6, 0xb77c1b26, 0xbb752368, 0xc1abe76c, 0x5394a3ac, 0xde15bc06, 0xd3c2f253,
+    0x38c57d9b, 0x788c8af6, 0xf30c3242, 0xf63eb5a5, 0x6ac750b7, 0x5059b28b, 0x46a30aac, 0xad6888ac,
+    0xb1c286e9, 0x1cfb1b45, 0x15aa1e04, 0x9c6bfc02, 0xcad33d61, 0x234417f7, 0xf0488d6b, 0x1824c6a7,
+    0xae800c05, 0x4c5da80e, 0xa4941c26, 0x5d1ebe7c, 0xf947afbe, 0x6adc3df7, 0xd2f79b8b, 0xbf97114d,
+    0xc1bc6b53, 0x6e86262d, 0x51b53e3d, 0xe813ee32, 0xdd2ea36c, 0x280f701d, 0x78348405, 0x46007191,
+    0x9efb5af9, 0x8c02f9aa, 0x3316ac7d, 0x2f241daf, 0xb4c3a24c, 0x73651347, 0xec20b0e1, 0xf53cadba,
+    0x4819e254, 0xc4ee4a09, 0x7625fce8, 0x827fd62e, 0xfbb9a720, 0x947bfb70, 0xbcad6e80, 0xd85ab1c7,
+    0x00000000,
+    0x622ae0c4, 0xf99af021, 0x7d187a62, 0x6e49537f, 0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900,
+    0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000005339967589802275205\
+                          98755426542388028650676130589163192486760401955554931445160137505740521734144 */
+  { 0x00000000,
+    0xc8da9928, 0x3241ee45, 0x314bff1f, 0xfdaf50db, 0x8153dbd6, 0xff5dd36a, 0x7b39217d, 0x27edae72,
+    0x0ec74db6, 0x47af7c6c, 0x88676e6b, 0x647ecf7b, 0xdaf83425, 0x2cbb576b, 0xfd3e83f3, 0xed98f9f4,
+    0x0f702ad0, 0x7ed3a566, 0x75086055, 0x3788df73, 0x1a8cbc6e, 0x3391bbcb, 0xb4e33e4a, 0xed7a0161,
+    0xa0f45859, 0xbc0056f9, 0x9e89fbb3, 0x2a3a91aa, 0xecc34d57, 0xff240aa4, 0xe83fbe76, 0x0538c1b8,
+    0x282fd51d, 0x786393a5, 0x75cc81a1, 0xb8e5b2c5, 0x9c1fb327, 0x8d060c57, 0xb5042eb9, 0x44c06cd3,
+    0xce4828de, 0x044ee580, 0xafa394e9, 0xd85409ce, 0x10ff7ca5, 0x277a99f5, 0x687b262a, 0x7123a5b1,
+    0xae7c51e0, 0x3429ad2d, 0x7df16448, 0x8dab5bab, 0xe913207b, 0x0f94f063, 0xf34cefb8, 0xf36760dc,
+    0x2239ef23, 0xcef35165, 0xeb475e84, 0x6b6e0de5, 0xa5fc9006, 0x5bbb6a49, 0xd2dff0a7, 0x0441df6c,
+    0x1632e4dc, 0xdc2a94da, 0xa49c8b49, 0x8de9e8da, 0x9fdf94da, 0x40a3a79e, 0x684de24e, 0xa4e84de3,
+    0xaaa37e87, 0xe8e7763c, 0xf6d18a04, 0xb9b0c9ad, 0x29ce5133, 0x7573bff4, 0xe03e228d, 0xaa53321b,
+    0xc9af6e58, 0x13ffc783, 0xd8e136f9, 0xd283e930, 0x112da77f, 0x24a8088c, 0x006e0cb9, 0x74468669,
+    0xc6979c9e, 0x1c4fc8bc, 0xf0c9e553, 0x70105e50, 0x64612d82, 0xcc44237b, 0x731239c2, 0x2c950fad,
+    0x538e343e, 0x753d02ad, 0x04bb365d, 0x75ab7ddb, 0x6a06fa0e, 0x7f4425b3, 0xc0a0e525, 0xed938c0c,
+    0xb967f114, 0xaff9f9df, 0x5c2405ee, 0xdf707db0, 0xfccb0aef, 0xca4ca9bb, 0xcfa00e5e, 0x1d5390f5,
+    0x053ae5ad, 0x97075bfc, 0xba94f76d, 0x8bef44fe, 0x2ceb29e0, 0x07f087ea, 0x0c45d484, 0x8c76485f,
+    0xe0d439aa, 0x8d5df476, 0xfb4f188e, 0x17d74934, 0xce878993, 0x0f6e7350, 0xddb511ec, 0x22b20a0b,
+    0x376f2285, 0x3a1e9ac8, 0x96a9ea2c, 0xc5608850, 0xe36f2538, 0xa0368995, 0x16c001a8, 0x48416a1c,
+    0xe68c8980, 0x7551933e, 0xfc61a407, 0x26736eea, 0xaffd6370, 0x6694ee33, 0x862a944b, 0xfc23274f,
+    0x80bd4e71, 0xfc5034e7, 0x917aa0b7, 0x54615276, 0x2f45a326, 0x6b25c378, 0x51f5ca4e, 0x1c9d3f1f,
+    0x92671285, 0x56dc216d, 0xdce9ed0d, 0xf458e69f, 0x5c2d9a79, 0x97bdb0b4, 0xbb817b79, 0x7f35a007,
+    0x18c1080f, 0xa8b8b71f, 0x7537f673, 0x29e11916, 0x5a97309b, 0xab201aee, 0x2c1ff708, 0x526b301b,
+    0x89803671, 0x33402623, 0x20593b6e, 0x465d4971, 0x888e8764, 0x08af1fe5, 0xb756f2e6, 0x84ae7529,
+    0xe6cc264d, 0xb7e8d766, 0x3b33c127, 0xbfb4ab8a, 0x2aeb1b81, 0xacb3825b, 0x4eef6b43, 0x57458c78,
+    0x5e8ed6ae, 0x37b24b38, 0xc94b98fe, 0x3dc228b5, 0xbb319079, 0x70b2cd70, 0x5522b5ce, 0x3ca9bf12,
+    0x8768d9b1, 0xba7f9e50, 0x8c2e1359, 0x57a1b639, 0x51f803d2, 0x2775d6f2, 0xfa9f5ff7, 0xa62fc858,
+    0x9224db61, 0xfbf76145, 0x6e7920b1, 0x0f83e6a6, 0x011df97c, 0x4da38955, 0x0648c45a, 0x70363dcf,
+    0xcb11470d, 0x4419d4cf, 0x774fca2d, 0x35681c91, 0x7b9d4ee6, 0x4bf86a60, 0x55468a53, 0x668d2324,
+    0xeb060bc3, 0x26a2537b, 0x83b3e44f, 0x88c4efd2, 0x4b098643, 0xc0c2f6b5, 0xfb274d1e, 0xb17b3406,
+    0xff08b24d, 0xf8b0310f, 0xb6c8f95d, 0x4941185d, 0x49422b4a, 0xf8d500e0, 0xe8a4a9d6, 0x74a72f22,
+    0xce273d78, 0x0904ca28, 0x058d32d7, 0x3baae5fc, 0x33bf9927, 0x0852e54f, 0xe192c11c, 0x6aaa6dde,
+    0x1645a369, 0x2a1dda7a, 0xa8406e0d, 0x9c6d10d3, 0xb50ba7b3, 0xe8c20be7, 0xa226e33a, 0xd6d6694d,
+    0x8f1641c0, 0x98e1dc44, 0x753a9999, 0x90a47015, 0xae5dcb56, 0x07f1cecf, 0x5f2defe9, 0xccd7487f,
+    0x4c8d693c, 0xedcc954e, 0xa945df44, 0x244bf04d, 0x595f60e9, 0xc54e6e65, 0x07c9386d, 0xf80d4f26,
+    0x7862ebbe, 0xa1b2fcf2, 0xd37ad299, 0x07fc46fd, 0x4b3c9e73, 0xa6e87af8, 0xc8193653, 0xa5ab771d,
+    0xb0498fa7, 0x7476b87a, 0x351f8932, 0xcff651ef, 0x05bd1800, 0x75490c56, 0x59e4b1e8, 0x535ceeaa,
+    0x4c3d6eeb, 0x6abc1ff8, 0x2276fc29, 0x1630aaf1, 0x5ee56fb7, 0xf530a472, 0x70cebfbb, 0xcc9541e8,
+    0xe80ba417, 0x5d1a0c5d, 0xc3a9aeb3, 0xa094a9cb, 0xa9d5eb10, 0x13030180, 0xad058cbf, 0x300fca4d,
+    0x73ed65ea, 0xfb443a58, 0xbfbb47e0, 0xd9e17afa, 0x270a32af, 0x33f6a978, 0x16676c92, 0x026f58e2,
+    0x443a0175, 0x2a6e4e44, 0x0a00f02c, 0x4280aac1, 0x033bcf9e, 0xe4a33198, 0xbeaa36ef, 0x8cd7ea3f,
+    0xa50a8f9c, 0x64c11fcf, 0x58038a21, 0xd0238398, 0xc5001f1a, 0x926b564a, 0x15e4963b, 0x36c36af3,
+    0xb91d16a2, 0xf904d093, 0x69c0d386, 0xa200baf0, 0xacf3624c, 0x20c90699, 0x2f1e25b7, 0xbca531d2,
+    0x6ba028d8, 0x89576032, 0xb310b316, 0xb3e57e3f, 0xf1a90f79, 0x151de8f8, 0xe3267381, 0xb29f956d,
+    0x6beb53b0, 0x36d9bc4d, 0x2813ff36, 0x2733ae93, 0xcd7bfdac, 0xab5239bf, 0x41423573, 0xd7655759,
+    0x244085b0, 0xe9b1b389, 0x5c53914d, 0xcc77dc3a, 0xf491d200, 0x3b3df6cb, 0xeacf6dcb, 0x004efbc5,
+    0x5a21230c, 0x51fc5529, 0xd74549da, 0x9a741063, 0x92611a1b, 0xbec3b8f8, 0x7bfa8973, 0x524c8253,
+    0x652b1eed, 0x5a4e2591, 0xcff7f785, 0x581f9c02, 0xf614b6c0, 0xb1ae19fe, 0xc9e414be, 0xef421354,
+    0xcc20662f, 0xac5ae3e2, 0x50662ddf, 0xc6fc064e, 0x4ca897c2, 0x5d125247, 0x2e91dede, 0x253ed57b,
+    0xa69e6c5a, 0xe35a6964, 0x874e9f4f, 0xf2e3ca0a, 0x61f58387, 0x3b3fce67, 0x75541b6f, 0x51c19b5e,
+    0xd9c58d12, 0xf4becc6b, 0xaef628b3, 0x0bebd637, 0x2b314b70, 0x6fce7ac0, 0x85d80521, 0x72d24294,
+    0xb012cc08, 0x68cbdf87, 0xebfa3658, 0x08eb8e60, 0x5c9a707e, 0x7c3ea4d1, 0xcae02989, 0x6d8fd33d,
+    0xcd0e69cf, 0x6a6c0f0f, 0xd5c0d201, 0x2d2c619d, 0x029f55cc, 0xe73edf37, 0xa131ab19, 0x87100793,
+    0x232df2ad, 0x754677eb, 0x172ed869, 0xd0309505, 0x328050e3, 0xf542f8f9, 0xd68b609a, 0x76637d8a,
+    0x6bbb8367, 0x0e0c2ecf, 0xcb280bc8, 0x2aa1a663, 0xb13ef33f, 0xf9d6f918, 0xfd6c69f5, 0x8655aaa3,
+    0x9fe35dbf, 0xc3e5fb9c, 0xd4d88996, 0xe7d9cd84, 0xe745eb9e, 0x659d8737, 0xc13f1130, 0x5cf204d8,
+    0xa8538e1f, 0x6ec57e33, 0xa8ecb68f, 0x7f0b24ed, 0xa335a790, 0x2bc035e8, 0x7912b657, 0xe9ac0a4c,
+    0x110eacbf, 0xfffed58a, 0x9a008b89, 0xf098b2a2, 0x46e8c140, 0xb875126f, 0xaa6730fe, 0xe1278b3e,
+    0xe449fa81, 0xf59fe2f0, 0x1fdfba31, 0xf20408ab, 0x8d487bd9, 0x46c4ea01, 0xb773e05e, 0xbb926058,
+    0x08c6c84f, 0xe5933a4f, 0xb4719b93, 0x7d19e196, 0x3395f8de, 0xeedce87e, 0x0f97c92d, 0x8b0db85b,
+    0x294696cf, 0xdcad2905, 0xaa012f85, 0x02bec85a, 0xa83d22d0, 0x523663ea, 0x489f471b, 0x58f279de,
+    0x9a637fe9, 0xd239811d, 0x10eaecfa, 0xb94791b4, 0x4fc0e37d, 0x2c8d88fe, 0x20c54d06, 0x4f7c0508,
+    0x73368753, 0x8995897b, 0x3eba676e, 0x9f2ae2df, 0x404e619d, 0xd1048b68, 0xa69c32c7, 0x26e864ac,
+    0x6356a88b, 0x905ee4e7, 0xcbf32648, 0x548d8a6e, 0xfcd7071e, 0x3b38856b, 0x6dac8613, 0xcce8f6bf,
+    0x47c702eb, 0x13fbdc9f, 0xc11777af, 0xff5860aa, 0x971788bf, 0x77c83977, 0x752887ee, 0x1fd9e30e,
+    0x1d36ae6e, 0x49966eef, 0x5f1b1225, 0xebd00130, 0x712f3a55, 0x80a7dc35, 0x352a37c4, 0x76706bd5,
+    0x3f90d09c, 0x2aa5596b, 0xbfdd1d1a, 0x29f80fe9, 0x8f1bddcd, 0xec1bfb33, 0x50e5cb96, 0xecc72f8b,
+    0x8699f4c7, 0x23ff1514, 0x8a71cc82, 0x0433d0e1, 0x3acd0c7f, 0x146d3c1c, 0xcdec8744, 0xcb5460dc,
+    0x06cf8709, 0xf630ba30, 0x90cd316a, 0x7703899e, 0x6ca317b3, 0xfaf723c5, 0xe9223547, 0x80d12cf7,
+    0x425b5874, 0x259c0ab7, 0xc0f19430, 0x9b5ee797, 0x4e5a8023, 0x23ab8a9a, 0x17811f99, 0x90464f7b,
+    0xaa978a87, 0x8135a7e5, 0xe0d77863, 0x0057f7dc, 0x144bec10, 0x0743c3a3, 0x412f9343, 0x42aca620,
+    0xa33cad5e, 0x596734cf, 0x550f6e90, 0x226d1e58, 0xe1f516d8, 0x818055e4, 0x4984e8a2, 0xc2efd6af,
+    0x12bba3df, 0x89a259ad, 0x743a0504, 0xe878a901, 0x06a33834, 0xf413da80, 0x798329e1, 0x51b38b6c,
+    0x17d0e964, 0x2bac29c3, 0x898858cd, 0x686e7634, 0x178b6f02, 0xd276413f, 0x14d0bdf0, 0xf99761d8,
+    0x6955836e, 0xe1454ee1, 0xa607e0ed, 0x18976aae, 0x05b118c1, 0xc9102279, 0xf3ce8171, 0xab77fca6,
+    0x9c3401ac, 0x3309a77d, 0xfa778930, 0xc4e659c0, 0x3e62f8b9, 0xffc72f5d, 0xbf5d2d9e, 0xe5745124,
+    0x3a773683, 0x536535f4, 0xec6022e4, 0x00512568, 0xed71fc4c, 0xe9ee4b99, 0x877500c2, 0xe119fc1a,
+    0x4324307d, 0x97a19fcd, 0xcdc44216, 0x217d261f, 0x202a9677, 0xec828436, 0x43958034, 0x92fc2295,
+    0xab571e0c, 0x1408f7c9, 0x08fa42d6, 0xf3f59ba6, 0x57e4938f, 0xd5cbe299, 0xe23cf3d3, 0xfeabd1b6,
+    0x3a332702, 0x41e47aef, 0x6d199cc2, 0x3e5cc562, 0x8c99ddff, 0xb6f8877b, 0xd206b012, 0xf7b0b3ae,
+    0xeec0aaa1, 0xd8a645f1, 0xbbb91f53, 0x8663c356, 0x64a9ac1e, 0xe9ea972a, 0x8757a3e7, 0x0241a0d2,
+    0xbed350b3, 0x47bb304a, 0x68794145, 0xe0a4b032, 0x3276ce47, 0xe5dea9f0, 0xfd22bd22, 0x7cf6bd5c,
+    0x3b60be2d, 0x519e4876, 0x86c8e149, 0xc63568d5, 0x7b0d89f5, 0x406b84f9, 0xaf7152d5, 0x77f0596d,
+    0xb12c01f6, 0xea5e9067, 0xe8c06db2, 0xfe5b15e8, 0x2826aa4f, 0x5467e3a9, 0xaeec0321, 0xfb2ffd0d,
+    0xa72dbaa9, 0x76b3f907, 0xc86c1d72, 0x9aae6042, 0x2956934a, 0x2d9bc8ce, 0xadc34550, 0x34a8708a,
+    0xa3e075c9, 0x59ba5688, 0xde014495, 0x164b6d43, 0x747d1870, 0xc5a1e56e, 0x2d0acc53, 0x5cbb3077,
+    0xc6e276f8, 0x98993837, 0x423527d1, 0x0a608984, 0xd022d431, 0xfe5d3d44, 0x109ccda5, 0x8797ae96,
+    0x107a00d9, 0x84bd2da2, 0xfd23fb22, 0xa5aae72e, 0xffa283c5, 0x0f903634, 0x6995e8d6, 0xc462a3f0,
+    0x95f2c51d, 0xe34f6f59, 0xcd5eec89, 0xf6f6dbc0, 0x251a74dd, 0x47bc2e24, 0xe97c0679, 0x57d82c7f,
+    0x774cf3e1, 0x63d6b4a0, 0x9766b578, 0x05feef5d, 0xf95fd61d, 0x77558d88, 0xbfdd67ae, 0x0eadc126,
+    0xfedc0526, 0x0049eefc, 0x5673da5a, 0x7bafe0bc, 0x1fc54026, 0xfbef3e1f, 0xa8a7a730, 0x1ec74f42,
+    0x8d1726c2, 0x9161366c, 0xacc17f95, 0xc6322913, 0xd45fd7fb, 0xf2c1d5aa, 0x6e3d5668, 0xc67e04ed,
+    0x37fbc9eb, 0x2b48e6ab, 0x911e2ee6, 0x0fd8b61a, 0xbf225942, 0x1320bc89, 0x0eb49485, 0x5e51e1d4,
+    0x71bf6730, 0x9d604eb7, 0x18179dc4, 0x20c13085, 0xd2871ccc, 0xf8c75dda, 0x18ed6626, 0xc4dbbb08,
+    0x5c58f927, 0x5c77398a, 0xa2ef816f, 0xe244005e, 0x59e572a2, 0xe9da5e6d, 0x0725afa4, 0xa6de0a0e,
+    0x9fcd91e7, 0x33169b07, 0x6d7312df, 0x3a582c83, 0xdb267d5a, 0xc50c8dc7, 0xab501983, 0xf2b60c10,
+    0xac223eb7, 0x91d79808, 0xd46fe276, 0xcfcd8c08, 0x8d4e48a4, 0x7329c776, 0x4c51fd29, 0x4eb180c3,
+    0x453180df, 0x680aab83, 0x92451e21, 0x4a8a2f72, 0xd8d61c85, 0xa9a3f9da, 0xf5ce4ccf, 0x48087b3e,
+    0xf88fcab8, 0xfc46df40, 0x234b490a, 0x8c8ce3f4, 0x6e6684b8, 0x9cca695b, 0xa1d79537, 0x7280f087,
+    0xcf29cb4d, 0x7f63c388, 0x45939ee7, 0xd457ee8b, 0xf2b42dea, 0xf0d87b03, 0xeef17e34, 0xab2b6988,
+    0x64fa91f3, 0x00a299f1, 0x73520f55, 0x027bd4d4, 0x3744b9da, 0x6c4978cd, 0x804e2b7e, 0x479134c1,
+    0xc8789ace, 0x4f948be4, 0xafca9293, 0x9a408017, 0x7cdacd9b, 0x5e6cc453, 0x19397e5c, 0xe006cbef,
+    0xfdb43cb3, 0x7d45666a, 0x29435508, 0x7856e4e4, 0x699fe1dd, 0x33e08f1e, 0x52ef4a45, 0xe873d5ed,
+    0x38d25735, 0x522795ea, 0xd7032cf0, 0x9ce51cdb, 0x9d9da6ba, 0x2762960d, 0x6658cce6, 0xce6bbe26,
+    0xf0b1f817, 0x93e63c3c, 0x595773e2, 0x2e672855, 0xea3494ec, 0x479215d8, 0x72e24017, 0x8e837bda,
+    0x049f496b, 0xd68ec4c9, 0xc9888205, 0x4fd3c2d0, 0x3c164c8a, 0xcaae8be1, 0x36b7c9a3, 0x25ac3632,
+    0x5bddced2, 0x16dfae3b, 0x8cf43646, 0x7375d399, 0x7b446f70, 0x1ea49a78, 0x255a5370, 0xe4b3bbf7,
+    0xf4b46128, 0x3e06c741, 0x1f8ae1c8, 0x04913322, 0x8136bdf5, 0x43dd69e3, 0x3d3d8673, 0xc382d28f,
+    0xf72fcc67, 0x9514b7d8, 0x33ee33a2, 0xb035dd2d, 0x6ee9c6e2, 0xc7edcd87, 0x9a8f6bf3, 0x5d9651c8,
+    0x65854c09, 0x163a3915, 0x8381705b, 0xae3f4da1, 0x00018a02, 0x14902d4a, 0x1ba3b054, 0xf3f2754a,
+    0x95945705, 0x97dac993, 0xe014667f, 0xf7accbba, 0xc31140cf, 0x6d3a0cd5, 0xc0b2b0e1, 0xb426598b,
+    0x8dbdf15d, 0x3c5175e7, 0xd88842f2, 0xcd860801, 0xb8ab6022, 0xc89522e3, 0x2d200016, 0xbd60a280,
+    0xafb3754d, 0x01643ab9, 0x7e1435f0, 0x56473c0a, 0xcb547c8d, 0x347f0aa0, 0x29528a37, 0xc32eadaa,
+    0xd37bc9ce, 0x99b57efe, 0x9c002a5a, 0x7c3f5891, 0x53e5bfdc, 0xe1e74ebb, 0x993ed661, 0xeca6711b,
+    0x806d7a68, 0xabad222e, 0x83a3c5d8, 0x89bfc078, 0x75c96169, 0xaae9ab56, 0x37b96934, 0x88700fb7,
+    0x9157b1ae, 0x095ff55d, 0x28db6ca1, 0x0e8e327e, 0xdf3f9724, 0xd7a445c9, 0x43fca62c, 0xf33c9225,
+    0xa44f3efe, 0xbc5e690f, 0x74a1c07a, 0x261d60b6, 0x6b479ead, 0x148ae3c3, 0xa7f9b46a, 0x00e3864f,
+    0xe1249613, 0x12778d8f, 0x456521be, 0x83c30de4, 0x81238a02, 0x8d326acf, 0xa7b8a27c, 0x2dd6b1c6,
+    0x455aa493, 0x89b5a51a, 0x0ef99de1, 0x7d1bafaf, 0x4fecb282, 0x8941d783, 0x7978e2fa, 0x94493f22,
+    0x8816ea67, 0xd68c232e, 0x2f50979f, 0x21b0f9e9, 0x6dda041d, 0xab195feb, 0x3f85a02b, 0xdeddcc95,
+    0x6457343b, 0x06bae12c, 0x8575381c, 0x2d5bab93, 0xf7c9793a, 0xc5e83822, 0x9d2f52f4, 0xfc99e023,
+    0x3f909f86, 0xd51254cc, 0xd7617a94, 0x330caa21, 0x25db6798, 0x956f5938, 0x42f523f1, 0x901d7faa,
+    0x0e0b5cb3, 0x2715113b, 0x546482c1, 0x0c0845b9, 0x3785a60d, 0x1ac17235, 0xcb8d95d0, 0x19b86415,
+    0xc0d20fa5, 0xfd29015c, 0xc99e2048, 0xbe5ec6ac, 0xbbc0d8c9, 0x74c5ce2d, 0x0c92ba63, 0x021cc24e,
+    0xd4e3f12f, 0xe5e422bb, 0x35578168, 0x6ea90109, 0x7f05c2a1, 0xea8a2e1c, 0x4925e5ee, 0xd6f8c9d5,
+    0xc8f989eb, 0x650dff21, 0x5f926888, 0x57836ae2, 0x29fa4a88, 0x49c29711, 0x29956151, 0x16895975,
+    0x1425050c, 0xbbc15b0c, 0xf7121d97, 0xd05fb79c, 0x108c0575, 0xaf8c2936, 0x6aec708f, 0x73589905,
+    0xe4f453fc, 0x4c0b89a3, 0x277eaaa7, 0xd01dd66b, 0xab743712, 0xd07d0d7b, 0x877b6ce0, 0xeb5801eb,
+    0x00000000,
+    0xb1157061, 0x7ccd7810, 0xbe8c3d31, 0xb724a9bf, 0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480,
+    0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000002669983794901137602\
+                          99377713271194014325338065294581596243380200977777465722580068752870260867072 */
+  { 0x00000000,
+    0x567998e2, 0x4621267a, 0x400670b5, 0x945fb9aa, 0x094fe45c, 0x4f54ef50, 0x1ae32b27, 0x83e68fa0,
+    0x4c2b4410, 0x9dd68cbc, 0x634e5e1e, 0xaa411167, 0x3dec6405, 0x218fd32c, 0x9ceaef96, 0xef752da2,
+    0x8d6cfd0f, 0xcfc4067f, 0x4dbbdb97, 0x86cb1b3a, 0x1f5dea74, 0xa8f81ab5, 0xf9a8b416, 0x0710aeb0,
+    0xac2c6f89, 0xf1b82143, 0xe2e57811, 0x23a33894, 0x7e9e48fa, 0x7626a2ac, 0xa3ee5f59, 0x7dbed7d1,
+    0x9e7cd192, 0xa9099b27, 0xcaee7bec, 0xeaa8875b, 0x86f4bae3, 0xe64b93b4, 0x4c91d040, 0x0e508b7b,
+    0xb6e89833, 0x31f58f48, 0xc9ded68a, 0xb3627aa3, 0xeb26d086, 0x2b656f0d, 0x1b3fb0a9, 0xa5fb1746,
+    0xe95a6dcf, 0x93f465db, 0xd59413d9, 0x9cdbbc26, 0x1c63643c, 0x0b7edf54, 0xc58457f3, 0x864dc239,
+    0x1202d488, 0x4434ebad, 0x95a88bec, 0xb1d1e73f, 0xbf65837c, 0xe250f421, 0x4f08fbc8, 0x220eddf2,
+    0x876bb015, 0xd5c08b87, 0x1c9b1fe3, 0x1cfa05dd, 0x236b8294, 0xa826de2b, 0xac4d4e0d, 0x41e9b7ce,
+    0x7d574167, 0x5c07cb0f, 0x90dc06d2, 0x89c499eb, 0xb9c16a26, 0x7643619b, 0x3a33c568, 0x51c49c20,
+    0x93746e8d, 0xc09ea1d5, 0x5b2d55b3, 0x0dc9ddbf, 0x9ae68029, 0x54733d2b, 0x3c0e6eb3, 0x2b6c9c42,
+    0xe329ff6f, 0x1d107802, 0x1f3d69ba, 0x39eb2268, 0xa656cafc, 0x620373d9, 0x2ae46ebf, 0x3bc42e67,
+    0x01691724, 0x639a8578, 0x448815e4, 0x163de889, 0x3c6f3f7c, 0x071b564e, 0x0f1de24d, 0x6c0ae6a3,
+    0x06ac34c7, 0x42d342b7, 0x60d66014, 0xe32a1fd6, 0x3958d647, 0xe39c5368, 0x45d6ccab, 0x17914574,
+    0xe054225f, 0xa266843b, 0x5cdde4af, 0xe3327fd0, 0x27021b12, 0x6c95d9e8, 0xbeebca65, 0x8527deea,
+    0x69c51607, 0xaa7511d4, 0xe3fd0554, 0xb205733e, 0x4a367b32, 0xfbe97851, 0xcb3aec54, 0x68bc15c4,
+    0xd0ecdba7, 0x7e68aeed, 0x3e809e54, 0x89bff015, 0x6572a3b0, 0xfa5064c6, 0xdfaa9b45, 0xc65e178a,
+    0xf7b5fa9f, 0x31579923, 0x8e607f0f, 0xa449cdd4, 0xff1f9398, 0x7b39da55, 0xa21c3281, 0xca60c488,
+    0xd2d70cdb, 0x52f7e520, 0x84f0cc2f, 0x7563bdc9, 0x7feda488, 0xbee9a086, 0xaf9955a1, 0x87e8e66a,
+    0x1a62a02a, 0xfda842b8, 0xc9926b8b, 0x13395fe2, 0x86144551, 0x1a848e89, 0xd3e6f32d, 0x9488d575,
+    0x253b93d8, 0x9159ad52, 0xe73b0f5e, 0x344187fd, 0xe5933d63, 0x6ef9bb06, 0x2116fd2e, 0x51021a5d,
+    0xe95ac8c1, 0x07a8150e, 0xc10a82a2, 0x052a7b89, 0x1761a575, 0x36a51712, 0xed70a651, 0x993b5855,
+    0x6e26f85d, 0xe98433bb, 0xc0d3af58, 0x381beafd, 0xab27c503, 0xbdf746c9, 0x2303c704, 0x5ff69a39,
+    0x6b727301, 0x5a20bf05, 0x7fc5dab9, 0x0ff36154, 0x9c903547, 0xea86259e, 0x1119723f, 0x5c681c9a,
+    0x7b6ce033, 0xd4270d32, 0x75bcdd7b, 0x6684fd57, 0x32c79cf4, 0x505ce5e6, 0x1f0f8f08, 0x877e411c,
+    0x47107b6a, 0x160e59dd, 0x4caa7047, 0xc010b54b, 0x939c95d5, 0xd8dacfc5, 0xa8f1a75a, 0x90bf3a67,
+    0xf6fc2ad0, 0x555aee7d, 0x3586d6ff, 0xbd80b953, 0x091745ee, 0xc9fa744a, 0x7fc4f77b, 0x5f4dda9a,
+    0xbb3aff51, 0xb80784c0, 0x99139b1c, 0xc3d039f6, 0xacbdf224, 0x19e1b268, 0xdc73f466, 0x58fbed61,
+    0xf3e4df91, 0xce014c99, 0xf9ac5470, 0x7a3a9a0c, 0xa34f838f, 0xd304586d, 0x39e165bd, 0x0a16188f,
+    0xdef99008, 0xbca554fa, 0x8982ddec, 0xc2df722e, 0x092d0afd, 0x5d26a400, 0x6d3c7e50, 0xba528b8d,
+    0x769acef1, 0x6f22db01, 0x1ffa2df1, 0xef4a4607, 0xf89a1605, 0x5e874d61, 0xb01d248c, 0x700ac31e,
+    0x550b3e70, 0xfa84642c, 0xda16d655, 0xd5e5c885, 0x37791a19, 0x949b44d2, 0xcceaed43, 0x4c8cf9a0,
+    0x00a5bf01, 0x77d42564, 0x53855c9d, 0x94241a25, 0xabd86800, 0x85116512, 0xe353f384, 0x538b5f5b,
+    0x491c4df9, 0x87c353cf, 0x7566b2ba, 0x480931e7, 0xfa33003a, 0x503a6131, 0x33adee1f, 0x4211003a,
+    0x020de3b3, 0xef804e6f, 0xfb2009bc, 0x8bd1ad65, 0x8adc25b9, 0x9ca84b67, 0x478e4c28, 0xad0f6c8b,
+    0x2342d82e, 0x3d5a5a9d, 0xfdc330f4, 0x21be2628, 0x8b30b6fb, 0xede8a0a4, 0x8272c7c7, 0xf53737ab,
+    0x731cee3a, 0x9dccf16c, 0x19fd9450, 0x4096503a, 0x8efb9b77, 0x77411a50, 0x1f0fe363, 0xe994d408,
+    0x84341f00, 0x07b13077, 0xfa4a827d, 0x156573d4, 0x0cfa6190, 0x4db29980, 0x3258ebb8, 0xe0b9773b,
+    0x86dad047, 0x70f488fd, 0x1390c0c7, 0x716e8351, 0xee2abdda, 0x761f3644, 0x944d277f, 0x1deaa63b,
+    0xfc856b31, 0xee6d4df7, 0xefbe8893, 0x58934b2f, 0xb45cae7b, 0x766f3b99, 0xde1a5cf4, 0xe1d80663,
+    0x3ab50e66, 0x6d605d49, 0xf1066377, 0x4e27f1ac, 0x410fbd4a, 0xaf1f295e, 0x81c02c20, 0xdc1ee257,
+    0xfc08691e, 0xe94cd662, 0x02cf4dfc, 0x772ee78a, 0x03011470, 0xa67fdbe2, 0xd539ee50, 0xf41fae1a,
+    0xa0cec28d, 0x86c12fcf, 0x53477c5f, 0xaf6c8cbd, 0xbb4d052a, 0xfd9801c6, 0x587546f8, 0xec756c25,
+    0x8afcb675, 0x3d835b8f, 0xca287f8e, 0x6f36632b, 0xa28838f9, 0xa79cae3d, 0x31fe4d69, 0xc877ace7,
+    0x2bbf3a91, 0x993722c9, 0x1e565ca7, 0xfb194e5b, 0xf9b6c095, 0x959c3147, 0x0f411ea9, 0x843fcc7a,
+    0x8d6a4399, 0xbcfd63a7, 0x06a79e95, 0x3d52e177, 0x62f85987, 0x9fb1fe09, 0x46cf96a0, 0x1087c010,
+    0xc549ed15, 0x6268738a, 0x4500713d, 0xdd10241c, 0xcf3210e0, 0x9a48fbfc, 0x05d5eb84, 0xb0f17960,
+    0xaadbabbf, 0xa9ce8ffc, 0xa8b269fc, 0xe7ba564c, 0x39a2846a, 0x6224dae0, 0x233b7181, 0xe54f3367,
+    0x905e9a14, 0x2c9b75d5, 0xb724d03c, 0xc843271b, 0x016f8bb1, 0x5942d030, 0xbd7d7b07, 0xbb665fae,
+    0x4d9d5512, 0xcec7a2a0, 0x5464cbdf, 0xddbd8703, 0x30a4ba05, 0x14972c04, 0x803ecaeb, 0x2a00ae5f,
+    0x45fceb25, 0xc709fab0, 0x2a7e50ba, 0xf127e2ff, 0x3812eb9a, 0x66ba57a0, 0x4ca4d768, 0xff519982,
+    0x46438897, 0x19b113a8, 0xd1321eca, 0x47be88aa, 0x0beef238, 0xf9c31391, 0xbe695453, 0x903d067d,
+    0x01de059e, 0xde0e243f, 0x002c3dd8, 0x711a45fe, 0x3289b100, 0x7a47d477, 0xbf3e16b3, 0xb2b55020,
+    0x9e179d86, 0x71641316, 0x31f82358, 0xf69231d2, 0x070684e7, 0x5d3f473e, 0xfbe566c3, 0x0655225a,
+    0x6a79a801, 0xdff0147e, 0xa3291b86, 0x13c8bcfd, 0x78add07c, 0xec984dd3, 0x78f1d861, 0x738908cb,
+    0xa69c41c1, 0xc25cdc2f, 0x5f430a93, 0x7dc21288, 0x12dbd7a0, 0xda75d112, 0x1ffacb74, 0xb887786a,
+    0xb04f83d2, 0x323f4ba5, 0xea60c349, 0x15aea4cd, 0xb6a06c65, 0xc27af421, 0xca6acd65, 0xa7c7871f,
+    0xdf195719, 0x5425bc2f, 0xd1759e23, 0xe8ac22ef, 0xbefa0327, 0x04401087, 0x744dcf58, 0xbf2ade51,
+    0xc051d1bf, 0x030be45b, 0x0dde3c47, 0x381a355f, 0xc3582853, 0xcaa4dd92, 0xde3e1b87, 0x4aa3b365,
+    0xb571c92a, 0x79b6f1d1, 0xcf1bf7cf, 0x8994b6c3, 0x34fe9bd9, 0xb6de3b2d, 0x1f95ce67, 0xa7d03a12,
+    0xb252456e, 0xa8468cf3, 0x764dcaa2, 0x419d8bdb, 0xf5589f8c, 0x9aa21a08, 0x790a5843, 0xd221c229,
+    0x4b9474b8, 0xf5bc9140, 0xb46e6231, 0x4aba0cb0, 0x6f532827, 0x83627105, 0x11feb991, 0x75a35fad,
+    0xdc545f48, 0x859a882e, 0x3bac0312, 0xb93a5c46, 0x663e5cd1, 0x31507b1b, 0x58a83bc0, 0x2d2d9432,
+    0x6bb3eac0, 0x57fe2d06, 0x4c80a484, 0xc9d6652f, 0x95052156, 0x154cc4e5, 0xa62cb243, 0x1dc24276,
+    0x92c082d5, 0x62123202, 0x262c8388, 0x90aea218, 0x58fb87b9, 0x651d661e, 0xc79621b5, 0x64278325,
+    0x785c4065, 0x2e218e55, 0xf718b3fb, 0x3a970cdc, 0x0d18c475, 0x86147e93, 0x8cccbc3f, 0x21fcfbf3,
+    0xf46e65bd, 0xe7f96724, 0xb6d1ff89, 0xca403df7, 0x117fd5fc, 0x8b67f606, 0x19bd877d, 0x617cb16a,
+    0x7874bf84, 0x078b9cd0, 0x053676a1, 0x976b2563, 0x0408bd1d, 0x3ad37b48, 0x9f0ac7bc, 0x2e5c586c,
+    0x3eb7cd2b, 0x6889dcd0, 0x19d750c9, 0x1c1c2717, 0x328d7d15, 0x8e76790f, 0xe20b88dc, 0x16f9f7be,
+    0x6e3a559c, 0x252501c5, 0x60546732, 0xfcb1d9e3, 0xa2f4609d, 0x4ff35274, 0x7011a709, 0x277d60da,
+    0x1a143366, 0xc225ab4e, 0xa0d54452, 0x04d41cd5, 0xaa2757af, 0x9153d820, 0xb52dc39d, 0xfe56825c,
+    0x5d0b2069, 0x4e8e82ef, 0xc6ffa343, 0xfa77a1d8, 0xb24ba555, 0x1b2b29de, 0x8f661e30, 0xc4bf461e,
+    0xc09736c5, 0xb164e817, 0xc86ef234, 0x1601f11c, 0xc5468a80, 0xf8a4017f, 0x138f0735, 0x3f329350,
+    0x3a1e173d, 0xc5615ac9, 0xba949a1e, 0x07dcc73c, 0x0a9cb79e, 0x82636493, 0xb7e45055, 0x292722c9,
+    0x0b3c8554, 0x6c7a0e44, 0x0b22ffcc, 0xbbfc3806, 0xf74c8f87, 0x2c27e942, 0x51cf9860, 0x0903812c,
+    0x51dd8575, 0xcef7d563, 0x0268d551, 0x541d1c84, 0x48590b8e, 0x20352c05, 0x833bc226, 0x6130affb,
+    0x8815b01c, 0x23315a05, 0x388928d7, 0x1be7569f, 0x292116ed, 0x20f7ca68, 0xfa79285b, 0x10a1dbb3,
+    0xe0fddf7c, 0x5adac9b2, 0x80ca3703, 0xcb7dce90, 0xa5809da0, 0xf9b80f2f, 0xfe3fa9ad, 0xacf4cac0,
+    0x8e81f94e, 0x1330fc91, 0x37385c2f, 0xddef07ed, 0x8fe548c1, 0xb694275d, 0x9b5d8d3a, 0x243d548f,
+    0xeaa6339a, 0x7028c591, 0xd3242e78, 0xe76587a1, 0x4f03c202, 0x9ed931af, 0xdb526165, 0x80c7c612,
+    0x6d9295eb, 0xf67d6f77, 0x26f16ad7, 0x145b9c31, 0xfa3a5a8f, 0xa6fe946b, 0x61acd94c, 0x4fed2926,
+    0x9a5c2d59, 0x22383623, 0x250241df, 0xead43d6e, 0x61c56e8e, 0x17054919, 0x9af118eb, 0x4a32e9af,
+    0x8b19394d, 0xec3155d8, 0x557d92db, 0x8fa62142, 0xffcc52ea, 0x5157940b, 0xe394a4a8, 0xb32950e8,
+    0x64e6b23e, 0x1841f04b, 0x082827c0, 0x57385afe, 0xd181b68a, 0xd6c79684, 0xde4ce219, 0xc35cf32c,
+    0xd7b8178a, 0xb1068b54, 0xf479377e, 0xb167ef8d, 0x8cdc53db, 0x2a0a3d2b, 0xad87c015, 0x9e54eab2,
+    0x773641dc, 0x1a17babe, 0x17d228af, 0x8108049e, 0xbce6d2bc, 0xa2879e33, 0x7c9f01ca, 0xa34f05e9,
+    0x2fddb11c, 0xfe864cdf, 0xe022d595, 0xfaef5af7, 0x1f2ca3b1, 0x09d4c9cf, 0x89f1cecd, 0xaa56363d,
+    0xaedce1cb, 0x51c5ff5b, 0xe0c989ec, 0x7094fb8b, 0x785ef7fe, 0xc720f37e, 0x52341e01, 0x45c325a1,
+    0x9d12551b, 0x6b56d546, 0xa78ffe0a, 0x961d11b0, 0xa65f277e, 0xd65e1f37, 0x79815d57, 0x3c42678d,
+    0xe897857e, 0x84dfb31a, 0x161f45eb, 0xe2faa268, 0xbe19251f, 0x188bfd05, 0xdce1a90b, 0x368f34d0,
+    0x1dfb2c51, 0xf72f6e87, 0x7c7485f2, 0xcf931e74, 0xcaafe5b0, 0xc936955a, 0x8896ee02, 0xf74d0375,
+    0xd5ab0cf8, 0x128c0aa1, 0x6e73dfe9, 0xfa2413b2, 0x12caf388, 0xea034761, 0xda75ba24, 0xebf90771,
+    0x26dc9057, 0x92e8acdb, 0x380b961b, 0x9635c5bc, 0x68306261, 0xf9236539, 0xf2ce3ee2, 0x379ee667,
+    0xa8b70afe, 0x81efc171, 0xd2e7dd79, 0xeb2708b4, 0x0dc0df41, 0x855ee765, 0x2b95a8af, 0xc264ea99,
+    0x44c55006, 0x8f97324c, 0x4b0a40c8, 0xb6792add, 0xcec83309, 0x136cd63a, 0x3bbb6840, 0xc416d06f,
+    0xd47c1c1b, 0x59a407d3, 0xe28cb393, 0x0bf2fe06, 0xa45eadee, 0x3a33fb49, 0x30ac185f, 0x7a0fce06,
+    0xd80794af, 0xaba22521, 0xfc03aa6e, 0xaf1448e9, 0xe5318ccf, 0xe5c7e438, 0x85d2670c, 0x50c9e28f,
+    0x7feb5733, 0x82329891, 0x5ce8d340, 0xc72b73b4, 0x145ec989, 0x35e4fb34, 0xe7a1c8c9, 0x10e4b0b5,
+    0x50bce89f, 0x0d3fbf39, 0xf339ffc8, 0xf3ffcedf, 0xbc42b15c, 0x2cd998ba, 0x85be26f1, 0x76410453,
+    0xc5ca10ed, 0x4bc56257, 0x0a142861, 0xe116c484, 0xe53e9467, 0x0286d2b1, 0xc535e9c1, 0xa86b0b95,
+    0x601d018d, 0xf73f83e9, 0xa2c7dea9, 0x564ce133, 0x364d0b1c, 0x21d75654, 0x96eed985, 0xabf9d3eb,
+    0x8e226349, 0x91501447, 0xedfaaa71, 0x629109d5, 0x706f8a7d, 0x659c294a, 0xebdb4f91, 0x71a5b8ee,
+    0xebcac826, 0x2fda7562, 0xba46458b, 0x0da1e39f, 0x0e8e5a5c, 0x9eaaa836, 0x2acd507e, 0x2de32293,
+    0x7d6c945b, 0xec82c902, 0xdf568565, 0xd73f83f7, 0x96989602, 0x9031fe37, 0x6e030e49, 0xc3e8337a,
+    0xa847909b, 0xc681ceef, 0xbaf1b643, 0x834c31e2, 0x8f33d7ec, 0x7057fde3, 0xfc31a7dc, 0xad5b2881,
+    0xf558f30c, 0x780b78a0, 0x847546f7, 0x41c79eee, 0xfed0ca5e, 0x90d141d6, 0xac4e70d2, 0xcfba323a,
+    0xe381ca24, 0xff6db061, 0x9db3a429, 0xac32e3de, 0xb3fdb2d2, 0x7692ff9c, 0x64b1afe7, 0x965f25f1,
+    0x472f1457, 0x3adbd989, 0x54441e71, 0xcffa27c3, 0xcbbbf706, 0x333ccba6, 0xd4dcd15b, 0xcc377373,
+    0x61662276, 0xff02313b, 0x6ad7a6e3, 0x76aa27e6, 0x4066bc53, 0x4bde1692, 0x21c655e1, 0xa4b288dc,
+    0xf2d6a192, 0x93d7dc9a, 0xae10163d, 0xb46efc58, 0xbcc2f5fb, 0x1b4c876b, 0x1522d37c, 0x3af369a4,
+    0x4bbadbef, 0xb692b6bb, 0x2ed7d958, 0xa6fa7277, 0x6db67345, 0x4fc905a3, 0x2ebd387e, 0xc3711483,
+    0x03f87fbd, 0xcdd5af7b, 0xfd3b64f0, 0xcffada07, 0x95a38674, 0x3dd11c32, 0xc6b41546, 0x1c3a2812,
+    0x027c857f, 0x54c1dd9c, 0x2133fcdb, 0x24bbf292, 0x1b094758, 0x2024be21, 0x89bc77c6, 0x882038ce,
+    0x0660f0e2, 0x4edcac3e, 0x53fef8b4, 0x513a83fc, 0xfda8b803, 0x373000ec, 0x32751790, 0xcf97d902,
+    0x17fdff83, 0x434ba04f, 0xa994a78a, 0x40054eac, 0xfd31a5c5, 0x03226d45, 0x9a15f72c, 0xc215cf6e,
+    0x1e87b5dd, 0xf9b8863e, 0x93d65924, 0xc5b33a2f, 0x32434f0e, 0xc6a883e2, 0xd21ceaf8, 0xe66e46f3,
+    0x963297ef, 0x8a5b31a8, 0xac867f86, 0xb8bccbc1, 0x63e017e6, 0x45df4533, 0x50ec3c2d, 0xdd17d65c,
+    0x08568187, 0xca667056, 0xda877565, 0x223f8ff4, 0xeebeee16, 0x83005756, 0x3605570f, 0xaf068f75,
+    0xda9312f8, 0xcecfcb9f, 0x249929f5, 0xff9bff9e, 0xdae8a020, 0x3080a59d, 0x912b2e17, 0xa839e9f6,
+    0x1e1b03f0, 0xa79e26dc, 0x3a6f9ef1, 0x7d95d657, 0x26efb598, 0x58244fe9, 0x4cd54843, 0xe62cfc72,
+    0x0ccf0fb1, 0xf00047bf, 0x732bf8a2, 0x20113563, 0xa70dcbac, 0x577eb93a, 0x22258c45, 0x93522594,
+    0x7f617163, 0x8d6a9181, 0xebd15632, 0xe4ea1ebb, 0x4b13f42c, 0xa7f9e6ee, 0x001836ec, 0xb91fdafd,
+    0xd22f3eae, 0xdee1471a, 0x91bde381, 0x6141493c, 0x793c01c3, 0x2cece827, 0x53b42e0c, 0xb95fb6df,
+    0x49e9933f, 0x0851673a, 0x377b5cf2, 0x4ed293cb, 0xc3a1bd1e, 0x61a26b6a, 0xcfd81929, 0xd0677196,
+    0xf6afab91, 0x5f2e22e6, 0x82e29253, 0x28489426, 0xca4e990a, 0xde5e8224, 0xdfacbead, 0x6a66732a,
+    0xd913d34e, 0x53657611, 0x4462aff4, 0xb7525ffe, 0xad3e22c5, 0xcc7a09ca, 0x31d5e809, 0xad900bc5,
+    0x00000000,
+    0x588ab830, 0xbe66bc08, 0xdf461e98, 0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240,
+    0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000001334991897450568801\
+                          49688856635597007162669032647290798121690100488888732861290034376435130433536 */
+  { 0x00000000,
+    0xad3635ec, 0xf0cc41c9, 0x3e0a0cd7, 0x17f5f0b4, 0xde48e801, 0x2c95a71d, 0x4c69bdef, 0x91b15ec2,
+    0xface903f, 0xb2f27aac, 0xb9447068, 0x7e7bdc6a, 0x34be6175, 0xc7f6d382, 0xe0789803, 0xc42cc046,
+    0x6988ac0c, 0xc17ac3c6, 0x12fe52e9, 0xaaa5e996, 0xcb43298c, 0x516e085d, 0xb1915b6a, 0x4af3daf8,
+    0x10446bef, 0x95af6386, 0xb29e6aff, 0xf6a7b195, 0x48411aa4, 0xfdb1645b, 0xe49dd1c6, 0xcf83094e,
+    0x209d6a4b, 0xf91d6f92, 0x0a366592, 0xac8488f2, 0x5f5c0c7c, 0xd650a7d5, 0x9ecf7339, 0x67c1d005,
+    0xed2f2811, 0x0ca2a4a6, 0x1ccaaac5, 0x1786a2b2, 0xb43369da, 0xf5824df8, 0x426a7a45, 0xc6f2e736,
+    0x64de2b5a, 0x077c9e52, 0x2f731767, 0x8d26b9a2, 0x0e3c2a15, 0x1639aa5a, 0x4cdecad1, 0xbf1bb152,
+    0x3d60cf4f, 0xf12727eb, 0x188e9cd3, 0xa3a404b4, 0xfb1631cd, 0x9105fbd7, 0xe20a5cb0, 0x453f9f8d,
+    0x55aa490d, 0x8b74b5a7, 0x2d57ee0b, 0x1791d676, 0x0b23fb28, 0xb2ca669b, 0xc0c9b5d1, 0xcbef14ba,
+    0x777d13cc, 0x4ebbc01a, 0x081946b1, 0xc0d9fac1, 0xce45fdc2, 0x76164be2, 0x07a22d94, 0xe5cf78fd,
+    0xf89e78a0, 0x2b11326a, 0x1bc07207, 0x275d61af, 0x3bf51c43, 0xed5b3af1, 0x2389dab3, 0xc01db3bc,
+    0xae57fb85, 0x0ca3e50a, 0xb25c268f, 0xa66bafe6, 0xd09595fd, 0x6f1cddc0, 0x3cf1f11f, 0xec1afb5d,
+    0x323d0642, 0x9ba490e9, 0x055f8d09, 0x9ed21f27, 0x47b560e4, 0x90619613, 0xa272d5b1, 0x4a100f39,
+    0x992cdcb8, 0x3ce2947f, 0x5bc619bb, 0xd351aab2, 0x114c3f07, 0x8c23f0af, 0xe6788271, 0x6100203c,
+    0x7d040374, 0x56ca1e31, 0xbfaf8a2b, 0xacf6b466, 0xee83b357, 0x7593e3fb, 0x4469ac98, 0x104c55f7,
+    0x2c2b20fc, 0x84366371, 0x8630bc31, 0x74e6780a, 0x0eda6c28, 0xfa34b33a, 0xf2aee4e6, 0xb5cc89d6,
+    0xa77ddc07, 0xfd5a9f13, 0x2ed30a5e, 0xd81a07b2, 0x650dd382, 0xb8adf1dc, 0xd1033b7a, 0xf42c1dcd,
+    0xdb2cb4ba, 0x2baca5a9, 0x2c699a58, 0xc06ae8bb, 0x7288b322, 0xd6b96e95, 0xd1945b7c, 0x2ad7ebb0,
+    0xa012adf0, 0xc990ced5, 0x5445bed7, 0xbe4e7d3f, 0x76572d20, 0x40a99149, 0xa85b156d, 0x177b996d,
+    0x8cc666f1, 0x6e9a0392, 0xfccecbca, 0xaad16ce2, 0xf439489f, 0x19109f7e, 0x66fd6ef7, 0xb6f4baac,
+    0x96634010, 0x9a1f6910, 0x6e5dd7f8, 0x8d1ecf1b, 0x7cf170d2, 0x644f6d6c, 0x49132784, 0x1a0094f3,
+    0x6cc66b36, 0xec798dd5, 0xbf3ce996, 0x28492791, 0x40c9262f, 0x7c121a91, 0xda1a20b8, 0x18b0fc90,
+    0x6410e2a6, 0x85cb6dda, 0x89e4e682, 0x8b8cf498, 0x3ced349f, 0x02b3e774, 0xf30288cf, 0xacf4d375,
+    0x26ece144, 0xe4f86e44, 0xa164acc3, 0x2c640407, 0x0ea82b6b, 0xf2a5e042, 0x29c77f98, 0x9875d92d,
+    0xe449667a, 0x47e286ea, 0xea9d6143, 0x13ea0d82, 0xc89649d6, 0x39113470, 0x8e34d91d, 0x1e49a479,
+    0xf8b03d36, 0x17ca468a, 0xab4b4436, 0xbe235661, 0x44c142a6, 0x86107e57, 0x9d921da7, 0xa0cbad8e,
+    0x2c9ca3ca, 0x328942bc, 0x2ab7da27, 0x05417a6e, 0x73c93a17, 0x3b9ac096, 0x6b49f5c2, 0x0de8e57d,
+    0x544a57f6, 0x5fcc7923, 0x9ee4c260, 0xdb6a2aee, 0x1cbec44f, 0xcaaadbe1, 0x61779093, 0x2e163662,
+    0x3e8d432e, 0xd8d07de7, 0x4e10e5a5, 0xb436b5ec, 0x264502db, 0x7f1ca81a, 0xe3d7af68, 0x0a3cf318,
+    0xfb5eee14, 0xdc485789, 0x1e1d392d, 0xd8a6feff, 0x6c16f7fa, 0x25e7b957, 0x74b3fc9f, 0xf591ab22,
+    0x667d6a3d, 0xa97fafc6, 0xb6727e15, 0xb0e81169, 0x69240a37, 0x679e7370, 0x8ff59093, 0xa4414ab5,
+    0xcbdad17b, 0x97dff416, 0x7878f864, 0x0e861e39, 0xb9f5a8e6, 0xd2d839ed, 0x0462e8ee, 0x9ce188ab,
+    0xb49f6166, 0x8d01ced4, 0x6c88256a, 0xc9b8d8f5, 0x44836b46, 0xc79203f7, 0x969c1ac1, 0x55451a58,
+    0x68281afd, 0x3687b0ec, 0x7348b94a, 0xb8dbe030, 0x2616ccf4, 0x15900672, 0xbc4b6e76, 0xad9c58bd,
+    0x7319cc2d, 0x988f5091, 0x7cde6fb0, 0x3a48bfda, 0xb22351a9, 0x27b1200b, 0x546a643b, 0x24876592,
+    0x488faa1d, 0x76d91bac, 0xf7a09b53, 0x16d1fd29, 0x51a2fa8d, 0x503c4c0b, 0x688265b1, 0x5c8b232a,
+    0xd96d7c5e, 0x98a1b882, 0xf9eb8029, 0x9155aedd, 0xba4d53c1, 0xb4f9e1d0, 0x83441c85, 0x4eda6367,
+    0x56fa48fb, 0xb82f0ef1, 0xd5af49a3, 0xb393555a, 0x22ed49c8, 0xfdebcb78, 0x23bf08fb, 0xa86d0ee0,
+    0x983e5913, 0xe5f4f2fe, 0x83f3c680, 0x3057921a, 0xbb2962cf, 0x9c522155, 0x0ea2ad58, 0x91f77d6d,
+    0x7d81faa0, 0x0363181e, 0x8a72f9cb, 0xa0854949, 0x024d5575, 0x03a578d1, 0x2378efb0, 0x4fcbf0af,
+    0xa3093e3a, 0xfb91f8df, 0x81d1e8dc, 0xfe2747f5, 0xbbe1247a, 0xb1cce827, 0x3707292e, 0x378e0e38,
+    0x64512d20, 0x825cd6f8, 0x2fedc593, 0x891c9292, 0x5de74ff1, 0x6f84f2be, 0x5d06ced0, 0xa22e63ea,
+    0xb1cdd44e, 0xaf0838f6, 0x0724ece3, 0x7a1d5573, 0x238a088e, 0x4c101084, 0xbb49ea8c, 0x90ffc540,
+    0xb80b566d, 0x9b88520f, 0x251a63ff, 0xc57f4368, 0xaf86be7d, 0x1faf4abb, 0x7d243d28, 0x57ec3726,
+    0xeabd9645, 0x660af6ef, 0xed55323e, 0x783cf9d6, 0xafc1e5e6, 0x376f33f5, 0x69e0e1f1, 0x31e3f462,
+    0xf9e4e39b, 0x8396df85, 0x02816e0e, 0xb0351ec6, 0x2b6a61eb, 0xbd973564, 0xc478e462, 0xcbf01e67,
+    0x742ae8a8, 0x77790700, 0xb95d9749, 0x723538f0, 0xf24d9f15, 0xfe015dcc, 0x9ef3003c, 0x0d2045b5,
+    0x509bdee1, 0x9ab17489, 0xec2c3442, 0xa7b724d6, 0x5ee02504, 0xbef81e51, 0xaef25a9c, 0x4301a05b,
+    0x7221bdb9, 0x085486fa, 0x196966ff, 0x346facfb, 0xe4bdc7cf, 0x12784850, 0x5b3e6a50, 0xd9b72db8,
+    0x77182b9e, 0x6f3266d0, 0x10475228, 0x45769bba, 0x864a9feb, 0xfaa0ac43, 0xfb461ed7, 0x9a94f00f,
+    0x11f2c9c0, 0x8c15d726, 0xc2cc0e39, 0x811c42ab, 0xd4171868, 0x9c4d9044, 0x4f8a22d9, 0x0c5ad972,
+    0x5f1a85f6, 0xc9fff4f1, 0xcf488e4f, 0xdf2c5669, 0x62174551, 0xdac7e9c2, 0x20b0dae6, 0xf18c5055,
+    0xe33a524e, 0x809b5725, 0xb48a888c, 0x9b0938ca, 0x75acd080, 0xd226d3fd, 0xa1560af4, 0x513d3884,
+    0x5fb31ce5, 0xfdda4673, 0x63c306f6, 0xc7e184b5, 0xcde72672, 0xa033d4d0, 0x7ccf7471, 0xd526b26b,
+    0x4e36aaad, 0xd66de72f, 0xb7e53315, 0xe14ac57d, 0x686b58aa, 0x1b633224, 0xde0bea1e, 0xef17b6a6,
+    0x263f1f03, 0x20c1f634, 0x08cba4d1, 0x682e8763, 0xd3b478b2, 0xbf0f7a08, 0x41019ece, 0xc3f32739,
+    0xa3348d53, 0x0b976006, 0x1bc36be9, 0x59aeb32d, 0xea094bfe, 0xf899db61, 0x395b82be, 0x20c395d3,
+    0x8e070341, 0xddc1140c, 0x4c03f967, 0xcf381289, 0xd41f8fc5, 0x9f3377de, 0xdb8b7ee8, 0x54622acc,
+    0xd38350de, 0xe20b7ef9, 0x42600a00, 0x06551402, 0x53933987, 0x12352e90, 0xffc7934f, 0x1e16bae3,
+    0xe1ae0ebd, 0x722330a7, 0x5220d4fb, 0x0f7cfa7e, 0xb89ce603, 0x81ee8091, 0x7c4cd122, 0x9138b41b,
+    0x97111101, 0x0b396413, 0xee4f9e32, 0xf056414e, 0xd278ce32, 0x45c2cd59, 0x9fbedfd0, 0x73796a28,
+    0xa709431a, 0xdb8db858, 0x51e93b64, 0xcf3bf739, 0xe86b487a, 0x2b54ce98, 0xb3d5e964, 0x06e06c47,
+    0xb2a00fc6, 0xe1a490ad, 0x0e7ed0ef, 0x91c6a70d, 0x7ac4491a, 0xd0f71150, 0xad2d5d76, 0xf69bc1cb,
+    0x3ecd7017, 0xb8016c57, 0x911da066, 0x96cfa8a4, 0xdf7ca798, 0x8d675940, 0x1a905a9b, 0x1590d8b2,
+    0x61c5ae74, 0x5fd8e913, 0xa4d88f1f, 0x84226359, 0xfc7657f2, 0x94c6e1a0, 0xd8f71998, 0xe9319492,
+    0x58cf754b, 0x4a98fbb3, 0x43325b75, 0x67845957, 0x2c7ab348, 0x473afb59, 0x24cb825d, 0x2d91bd03,
+    0x1ce52c1b, 0x016128d6, 0x699eca84, 0xd5243da4, 0xb3342563, 0xd897e45f, 0x1e81dc86, 0x6e3a9af3,
+    0x40f1d7c3, 0x030a5833, 0x77643225, 0xf51367f6, 0xbd766fc9, 0x8de3e71d, 0xdc88d73d, 0x79541266,
+    0xa0d1ff84, 0x31400623, 0x4db01239, 0xae6c0d4c, 0x90fcf000, 0x5a1c248d, 0x19bd0898, 0xaab4ad7b,
+    0xce281f29, 0x26f45b49, 0x21fa6d3a, 0x269099d4, 0xe25520c0, 0x24ea3414, 0xa8657ec5, 0xb3d410fa,
+    0x66755f9d, 0x1f223608, 0xeac5f27e, 0x66149f26, 0xa5f6a444, 0x6902219b, 0x09fd85f4, 0x23d987f2,
+    0xa13b5955, 0x02cb3522, 0x4fd6563d, 0x6e84976b, 0xe4d32942, 0x6f4a2af8, 0x6b173dbf, 0xb3819f7a,
+    0x31f8096a, 0x9ea42a3a, 0x7ffd126d, 0x72b8f502, 0x1ccc2e4a, 0x3246c742, 0xf4feb046, 0xc3920a53,
+    0xf4d5f1bd, 0x527cc3a4, 0x3172abed, 0xcf4b94b2, 0x83251e62, 0x03efe418, 0x9855bef8, 0xe1d6c40d,
+    0xdc613db4, 0xefe86cdc, 0xe03c683a, 0x7c513b69, 0x1e2cf320, 0x37311bd0, 0xf5dc4d4e, 0xa7de3763,
+    0xa36a9c6b, 0x4ccdd3ab, 0x02da65aa, 0xa411c929, 0xf21f4920, 0xcc00077c, 0xe6146ab1, 0x0b51df20,
+    0xf2f8ef49, 0x27dfa58f, 0x96648240, 0x0b1bc74c, 0xb4e69127, 0x1ed02a47, 0xc957e102, 0x32712d7d,
+    0x923e9e9b, 0xa5f4c7bf, 0x4365e44b, 0x577e5af0, 0x5c6ffea7, 0xfbbd08ac, 0xd365bd33, 0xbd18f114,
+    0xc59c4058, 0x3a475fa6, 0xf4965a52, 0xbf5fd60e, 0xbf76cdec, 0xf1d1c1ea, 0x451052fd, 0xb2b0e091,
+    0x7342de20, 0x03567f43, 0xd7be5d29, 0xe8ec7884, 0x1a70214b, 0x784c1c5a, 0x294aa29f, 0xd55cef43,
+    0x8e5e6833, 0x5b73fc2e, 0x30d90205, 0x006d18e6, 0x25402617, 0x71dac697, 0x0a89a878, 0xc31d9fd7,
+    0x0189648e, 0x2cb920ce, 0x81e9de94, 0xaee1ca73, 0xbc77fa4a, 0x369de34d, 0x33f6293d, 0xf37fb66e,
+    0x9be3c8b3, 0xd01ff0c9, 0x51b9be7c, 0x1404ae13, 0x4ee4c585, 0x440f2838, 0xd484436c, 0x02f7c418,
+    0xc54a49ca, 0x7f55ad86, 0x7024d5ef, 0x7b1b5fa3, 0x2db7114e, 0x52f942ae, 0xad633658, 0x79687a93,
+    0x84276fef, 0x25f94391, 0x193211e5, 0x780ec8e8, 0x3f94ea72, 0x7e833243, 0x4a464a93, 0x06bc7e65,
+    0x8bdaa2f5, 0xe8770324, 0x0d43c66c, 0x695004bb, 0xe943e4f3, 0xc4a60508, 0xd9af191a, 0x104b9c0a,
+    0xa94ba464, 0x25f99586, 0x6509572a, 0x4b6328ec, 0x8347f62f, 0xb9cfb4e8, 0xecc35efc, 0x9487e950,
+    0xd2e9c4c3, 0x74ab78b5, 0xcecf5bce, 0x341f1acf, 0x30a83dc0, 0x56d11054, 0x164b59c2, 0x6e0a5ffe,
+    0x1dacb621, 0x71c54729, 0x576daf6a, 0xb66b461e, 0x62da1040, 0x03004994, 0xe1a9ad54, 0x92a01517,
+    0xef04d0ee, 0x467363a3, 0x628e0070, 0xc393ca05, 0x8609885c, 0xb51597e4, 0x033ed8d7, 0x79319d97,
+    0xb4567c94, 0x2664dcff, 0x2238fa4b, 0x7819348b, 0x958f107a, 0xeffe39e9, 0x50624257, 0x60d3986d,
+    0xe46078ae, 0x1b129160, 0xb5cdb1dc, 0x9f0ae6f5, 0x3bc9f6e9, 0x40be8c05, 0xb6deb4f6, 0x13f6db06,
+    0xb0bc0ff3, 0xcd47f1d4, 0x55043ec1, 0x26260d11, 0xf1c7f4ab, 0x96d9c382, 0xe10b79f6, 0x843aed3b,
+    0xdf9d9b0e, 0xd5b09de2, 0xd1d491e8, 0x1b3d1060, 0x0d0607f5, 0xfd944e05, 0x6bb1c095, 0xcfcf4136,
+    0xc21ecc0d, 0xeabd3d31, 0x0f58e2c4, 0x95690f80, 0xb28c3926, 0xe0354e84, 0x6367f88d, 0x6bf19b19,
+    0x89b5c535, 0x7b3954c6, 0xd95835fe, 0x8f0b031b, 0xa5361dc0, 0x3332ce53, 0xe5e32025, 0xe9bd5f52,
+    0x729fc592, 0xcfa31a02, 0x73ca15ce, 0x09b164c3, 0xa5c7a37b, 0x53662cc2, 0x82bbbdcd, 0x2efcebca,
+    0x2b8c63b2, 0xa4e9d4aa, 0x6c3bb383, 0x4daad045, 0xcf233972, 0x2bc9c606, 0xb390662e, 0x55521099,
+    0x640a46b4, 0xc93d62b9, 0x0fd0f6ef, 0x73d92625, 0x0dbb960e, 0x6e668d66, 0xe3b0c2b5, 0x5814f162,
+    0xc8e1ad55, 0x7370b1d0, 0x2acd7176, 0x919c7a52, 0x01127b35, 0x56453479, 0xfe7a6c9f, 0xcfad7583,
+    0xd2e9e067, 0xd09bdcc1, 0x6c7ee164, 0xdf96a5b7, 0x22b582f8, 0xd9d31a48, 0xb269e40e, 0x76d3d1c9,
+    0xc9b6231d, 0x6bd22be8, 0x8fa7db63, 0x0e311c6c, 0xc6cc5cfe, 0x61db008e, 0x0da086e1, 0x87bd4575,
+    0x8ac9586d, 0xe36e0333, 0x0751f92e, 0xb41786fd, 0x38bf6f3f, 0x21f2762f, 0x10b87d7d, 0xfd7843a4,
+    0xa880c933, 0x8eb7639b, 0x873688e2, 0xdb4c622f, 0xd269ad67, 0xcdbf78bb, 0x56711e6c, 0x9aaf050b,
+    0x55299bd8, 0x3b904481, 0x722ff8db, 0xa940dd3d, 0x8a9ef549, 0x4f9154f9, 0x2be4fb3f, 0x47cde13d,
+    0x44b4827c, 0x9c618fda, 0x851cba93, 0x6386215c, 0x2391ea59, 0x4669e44f, 0x46647a3c, 0xad55d118,
+    0x0d8e1dfc, 0xda1b7eda, 0x34edcb4f, 0xea2c2129, 0xd7e8a9a0, 0xf6f27415, 0x9dd9155f, 0x0614012b,
+    0x8c444973, 0x80a424e0, 0x6270caf3, 0x6ac93215, 0x9150f4dd, 0xe9ed5b02, 0xe2d0adb1, 0x8bf9e893,
+    0xf94cd279, 0xa1834356, 0x6207ab05, 0xa13ee428, 0xe3f40d09, 0x592c4186, 0x45b49ee9, 0xb4ecca2a,
+    0x9ab75cc8, 0x93b1692e, 0x86cf71bc, 0xd1e11461, 0x6af29181, 0x55681ce8, 0x35b1a81d, 0x1e411d57,
+    0x8f9208b0, 0x525b031c, 0x98905788, 0xfc9ec318, 0xd5890c96, 0x72db91d7, 0xc2177bd6, 0x4a5445e2,
+    0xaf1fe177, 0x293a72f9, 0x7dbd23e9, 0xd91e9316, 0xb8c09bbc, 0xab6d20bb, 0xc9aae5ce, 0x5da778a8,
+    0xf59a1063, 0xf44b844c, 0x54e91248, 0xb9d41096, 0xfbe838ef, 0x165ed9d7, 0x50a634aa, 0x21d16483,
+    0xcd45af40, 0x58a9a45b, 0x1ca33453, 0xddde0070, 0x875e78e9, 0x5c9c1124, 0xfe5754f4, 0xdabcbca7,
+    0xd0349cae, 0x422d42e3, 0xf240b59f, 0x78b63b95, 0x0bea9fa0, 0x62d26693, 0x55e506ee, 0x0c7c0496,
+    0xdd1e2d0a, 0xd7a60529, 0x4c7b9842, 0x3489ec44, 0xbc2e59aa, 0x97ae271f, 0x7f49c06a, 0x4fbe0251,
+    0xdc28a3c3, 0xc2394041, 0x6d5834a7, 0x1e810c0b, 0x8363143b, 0x20d7f28a, 0x72642fbc, 0x5347f2df,
+    0xd4298bdc, 0x6e38ad8c, 0x8379a2a5, 0x71818b06, 0xf45a70e3, 0x2d4b39ce, 0x22ad3d73, 0x735cf765,
+    0x4ee3ba37, 0x18e8affb, 0x99b44521, 0x5ca8400f, 0x2dc4ca39, 0xa844c722, 0x08321323, 0x8b18a533,
+    0x8cf5d278, 0xa25b0ca3, 0xac964d9b, 0xeffa0bb0, 0xa8c9d557, 0x8c727922, 0x323d9209, 0xaf61c1e3,
+    0x5baef9b8, 0x844dd1b8, 0x064e8cb0, 0x0e4ecc86, 0xcd0da5e0, 0xe371aa76, 0x317d6126, 0x76a28731,
+    0x8fbd4caa, 0x441667f8, 0x0a8cc998, 0x5866b174, 0x61ad3701, 0xe055f968, 0x677b5993, 0x87e7f8d9,
+    0xa1e38c75, 0x9368b2c5, 0xeb18c8e1, 0xf0c5e62e, 0xf140bbfe, 0xa271b7fa, 0x8dfd7d28, 0x23457903,
+    0x4887093f, 0x8ce627d4, 0x200e9bab, 0xdf345694, 0xcffa7e80, 0x646ff8dc, 0xec368b26, 0x97a5ad15,
+    0x37b35c6a, 0x5686d824, 0xe4af8cba, 0xef609e89, 0x1627c855, 0xd16901a9, 0xd4ed461c, 0xccc6815e,
+    0xab7aa8a0, 0x3e2e0df8, 0x299e4cf4, 0x3bd00607, 0x9d29bc36, 0x6bcee7a4, 0xd629f824, 0xd2ca02a8,
+    0x00000000,
+    0x2c455c17, 0x5f335e04, 0xefa30f4c, 0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120,
+    0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000667495948725284400\
+                          74844428317798503581334516323645399060845050244444366430645017188217565216768 */
+  { 0x00000000,
+    0x75d7c6cf, 0xa8d9758c, 0x29165abf, 0xe5d7c3f5, 0x5b2318bb, 0xac694f6f, 0xef64cf16, 0xfca0ff87,
+    0xc93face3, 0x1581f0dd, 0x9f896046, 0x4b2b82d7, 0x175484be, 0x3069860b, 0x28dbbc83, 0xe77e3a65,
+    0x7def6e35, 0xbff95652, 0x6d8b6e2d, 0x8f6bab89, 0xf68feb14, 0x6e3c677c, 0xf1b1e79a, 0xfe200fd8,
+    0xbbfc7248, 0xfe0bd198, 0xf17a7863, 0x1fd894eb, 0x0a525863, 0xd2523624, 0x0a78f4cf, 0xeddf810e,
+    0x63c6fa96, 0xb99d9761, 0x716fbc71, 0xe394fa23, 0xda5dc512, 0xe4d9a910, 0x990e615a, 0xb58343b8,
+    0xe2d5e9fb, 0xb42fc0f2, 0x63963379, 0x8be3d2cc, 0x45aaa50d, 0x248dcef7, 0x857e8ea2, 0xb8747a6a,
+    0xa06ecf7e, 0xab371112, 0x533ac6df, 0x09929939, 0x7a74608f, 0x4b14b186, 0xb0110924, 0xd97eb95c,
+    0x881f094a, 0xde386007, 0x272ec0db, 0x65c66e80, 0x4844c4d3, 0xfd584a49, 0xb75ced2f, 0x041589db,
+    0x25811c02, 0xfbbf06f8, 0x746e9eb8, 0xfb98591e, 0x9e7bceca, 0xeaefd1ab, 0x34f64566, 0x00961b5d,
+    0x631604aa, 0xe58e6217, 0x8d631379, 0xeebf56e2, 0x8ce96868, 0xd529eb47, 0xcc0cb09c, 0x83c87a47,
+    0xfb27decc, 0xa43f27c6, 0x57393390, 0xc9575f9a, 0x329b48bb, 0xfea48c6f, 0xc59c0cb4, 0x385a9c21,
+    0xb2eddd41, 0xba94c44a, 0x5dde3696, 0x78e39ad9, 0x76c40ae4, 0x8acb898e, 0x04c44c0b, 0x7bc671e2,
+    0x6e4fbddb, 0x0ea0b13a, 0x1209c323, 0x031703e4, 0xd4a17c57, 0x24a00341, 0x0bfdef36, 0xe4a192ab,
+    0xdbcc1fca, 0x8ad35b80, 0xd1bf47e7, 0xe010441b, 0x4172f350, 0xc6a248d1, 0xe6beef20, 0x2c63fba8,
+    0x6b6d3515, 0xb98fb4af, 0x777ecd89, 0xb0cc3851, 0x5c176210, 0x620c24ea, 0xa5b5956d, 0x7d81ffb4,
+    0xfcb9d476, 0x666f6d60, 0xfa2a2189, 0x81126767, 0x0e3579cc, 0xf964cca1, 0xd241ea2b, 0xfaed8fbf,
+    0x26639285, 0x13135324, 0x10d99592, 0x93e6aaee, 0x44c52d1a, 0xbbda34b1, 0xd71ab4f9, 0xfea0cd63,
+    0xed265dcd, 0x4c1fb663, 0x0425d0d0, 0x88162bb0, 0x331edb1d, 0x18c16ca2, 0x36065823, 0xb14b4a2b,
+    0x8674d442, 0x7e53b1bb, 0x5f854a4e, 0xff91a6f8, 0xa8ab25c3, 0x825e8dea, 0xad63e03c, 0xc7e4cdd2,
+    0x38ada843, 0x8a0dd3fe, 0x83250449, 0x46b67ede, 0x1c5f693c, 0xa8851cf2, 0xe4bb7ef5, 0xa3625762,
+    0x5e225aea, 0xe01ebf7d, 0xbf39ace2, 0x50cc78e9, 0x8f288768, 0xc581aac6, 0x603a063c, 0x6d4ff946,
+    0x16c0278c, 0xcf37802f, 0xc0a624b6, 0x3031781b, 0xc0ebba9f, 0x5f4cb3e1, 0x8d2730ae, 0x88333e8a,
+    0xb75f4f48, 0x095fda55, 0xd7df087f, 0x0cfde7ea, 0x2741e97a, 0x95f2676f, 0x9bd1ba5b, 0x6efe1e84,
+    0xc2ce01f4, 0x2645c443, 0xbf53cd8e, 0x35fcf649, 0x09452ce9, 0xc3f30621, 0xe368a4ee, 0x6fa34092,
+    0x9dfecfe2, 0x84a88dd0, 0x7f86330d, 0x8eb11d95, 0x4d0edcb7, 0xeac0b720, 0xa2867dc2, 0x1ff0da5c,
+    0x71ae35dc, 0xaa4b70ac, 0xe2e84f78, 0x3f17fdc2, 0x6ec4d942, 0x5542c154, 0x40760c43, 0x2780e8ae,
+    0x4ff44b29, 0x4a8731b6, 0x64c94199, 0x0bd92639, 0x09410404, 0xbae06868, 0xe7c1ba04, 0x64803622,
+    0xe836db59, 0x70a764a9, 0xf38a0a45, 0x86bb0ee1, 0x6193c5cf, 0xbf309c33, 0xadb7b1fe, 0x91fafd04,
+    0x93f467ae, 0x2b8bea34, 0xb60f9603, 0x6214ea39, 0x7b0bda49, 0x76958360, 0xe933305f, 0xba0def9c,
+    0xe76b036d, 0x02c1b54a, 0x4e15cb9d, 0xefe813a5, 0x4da4b2e5, 0x3ad353e6, 0x7f6e2cd7, 0x54c3d448,
+    0x30521067, 0xe0d304aa, 0xe3605a0e, 0x1160887b, 0x5f69d204, 0x57b5834b, 0x69f52048, 0x42d2d6be,
+    0xa4176d28, 0x5bc47074, 0xf9d415c2, 0x145892a2, 0x7dae66a6, 0x58452bbf, 0x0eda93ff, 0x3d4b4adf,
+    0xc45a8321, 0x0db72bfd, 0x15a5c6ac, 0x39fb3dd5, 0x446e4ed3, 0x34b64759, 0xd8cdd4f2, 0xa53f093f,
+    0x77d1081d, 0xbc7d26f1, 0xa3b92fbd, 0xb6f48a05, 0xce276f4c, 0xfc232aa0, 0x6aee394d, 0xf3c08a82,
+    0x0c8fc615, 0xfd4d75e4, 0xa9ead5a2, 0x46cad812, 0x94f51c7e, 0x03d736c7, 0x5bd92f26, 0x381ddf8d,
+    0x989bfe8d, 0x675447cd, 0x5e8de7b0, 0xdc0ac09f, 0x81cb658b, 0xf0a73ea0, 0x94d00282, 0x8fded440,
+    0x8081e01d, 0x25bee71f, 0x13fe8429, 0xec5d1ecf, 0xd2ee8afc, 0x6d158bc3, 0x7621529b, 0x5e4da191,
+    0x7b8ef008, 0x7175890a, 0x4b3e6664, 0xb643a89c, 0xfdec33e6, 0xbd546d52, 0xca2efa72, 0xb479301d,
+    0xb7138919, 0xf0405cce, 0xb1b23b88, 0xc944b960, 0x50cf785b, 0xa5e9b922, 0xf3f87600, 0x52167bc6,
+    0xf3d4a6e2, 0x44bc5397, 0x7233975a, 0xeafc8f7c, 0x7477b712, 0xc9fbac4c, 0xe274c0e7, 0xe9a4f544,
+    0x4a0e07cc, 0xe20758a5, 0x4869ecb8, 0x9536a1fc, 0x871d157b, 0x141ddeea, 0x23106bfc, 0xd7e26e3d,
+    0xe7bd5a7e, 0xf340e7ce, 0x30ec8693, 0x14f9acf3, 0xd6cf05df, 0x06a5c62a, 0x7bace9e6, 0x114fd081,
+    0x6bd1db46, 0x81ed62f5, 0x03f256d3, 0x69f25f19, 0x79e9e374, 0x31db5f5b, 0x91176bf7, 0x87cc0355,
+    0x58658c8b, 0x13252a2e, 0xeb19fda8, 0x35b4082f, 0x73fe0f62, 0x2430cec5, 0x1a994365, 0x2eeb120a,
+    0x0e19621b, 0x7c9ed2e1, 0x3f0f0139, 0xbde8de54, 0x1903971a, 0x74ca25b0, 0x5f9250d1, 0xb213e6f4,
+    0x3ece9bc6, 0xafcda33b, 0x7ef70ef1, 0x8da2aa2d, 0xa8077e86, 0x82180c52, 0x2394543e, 0x8618dfcb,
+    0x9640ea0c, 0x948fbad8, 0xda554b80, 0x5837b993, 0xd8235bca, 0x9c955117, 0xc938002a, 0x77bf4255,
+    0xb71d368f, 0x210c203a, 0x892c33d7, 0xb75fec58, 0x527510dd, 0x7c8f0d32, 0x93b6ec26, 0xa2e2c5e5,
+    0xb484a76e, 0x0ed64782, 0xd87e4a81, 0x286a0d62, 0xb4afe367, 0x6fbe4e6b, 0xae33c255, 0xfa14ad42,
+    0x90c1aecc, 0xa6cf6252, 0xfe843786, 0xe4deae3c, 0x5cf7dade, 0x1c239804, 0xf4aeec14, 0x1fe28a90,
+    0xcb6e6cd7, 0x5460712f, 0x7428465c, 0x4fce9252, 0x9a8187c2, 0xf94fe7bc, 0x198dce2a, 0x0a3c16c6,
+    0xc4c0eeb7, 0xa09a81a4, 0x58b18ba4, 0x282f7964, 0xf5886534, 0x54dc6c24, 0x318d447e, 0x1e495a29,
+    0x7e1b2cf3, 0xba197221, 0xacaeb56c, 0xa3ca9126, 0xedcbbdc2, 0xfbc54d72, 0x757ba2dc, 0x9dbd424d,
+    0x9b8dde27, 0x1024f414, 0x8f881446, 0x4e8f3e57, 0x09e1b200, 0x292953f4, 0xc4af4159, 0x72e9afec,
+    0x6ee4747f, 0x73105c03, 0x3a17031c, 0x9e9182ea, 0x874a7fcf, 0x7ed5a55a, 0x6f2f92c3, 0x068ed8bc,
+    0x33ad8df3, 0x43764264, 0x6b5cf5f1, 0xa20f34ec, 0x0d235e29, 0xa2d24424, 0x7fd5bd7e, 0xa9cf53f5,
+    0xe8ae105a, 0x86748063, 0x518359b7, 0x68743592, 0x903936ee, 0x586c0fad, 0x12e12869, 0xb22cce0a,
+    0x2fd0d3c1, 0x09adfbcd, 0x32665b87, 0x96d5ad0b, 0x674dc254, 0xd6f2b8bc, 0xdd233cef, 0x30c2dc72,
+    0xdd071c2a, 0x4b8cb748, 0xa00f2f6a, 0xead126b0, 0x21e893ab, 0x3944fba3, 0x9987e9f9, 0xf46e6b76,
+    0x4afd74b4, 0x952c84e0, 0x9d8df593, 0x07d61d37, 0x62c3c660, 0x228cdd18, 0x15042be6, 0x44c02778,
+    0x66f2868e, 0x3aa43936, 0x08516357, 0x3ded1ce2, 0xc5ae7727, 0x94d4526a, 0x9eab8ca3, 0x94eb6f43,
+    0xf4d517d7, 0x3a314baf, 0xc733284d, 0xde1333f7, 0x18d5449d, 0xfa881e47, 0xc089f79f, 0x5b5a3174,
+    0xbda7ccca, 0x99eaa246, 0xd2111d3b, 0xf61c95c4, 0x59fea16c, 0x764da2d3, 0x3135468c, 0x77404998,
+    0xc5ac4e8c, 0x73ec466c, 0x23abd07b, 0x99c47c48, 0xdbd60c76, 0x8873d81f, 0x2aed93e6, 0x13e505bb,
+    0xfdd1b615, 0xef80a50a, 0xa06b20de, 0x56640549, 0x8eebd7f0, 0x2a0947fd, 0x47154f44, 0x4002f647,
+    0x4e506d1a, 0x18b57752, 0xe2214b5b, 0x0f87cbb0, 0xb2573e21, 0x73abf282, 0xac2b968f, 0xa20caa97,
+    0xbefac61c, 0xd92f0320, 0xba5ad5d4, 0x378c5f7e, 0x9f680b78, 0xf5f402bd, 0x07bff257, 0x614c94fb,
+    0x5802d424, 0x4770acc4, 0x927513f5, 0x78eb238d, 0x4c1740c6, 0x6d6e4272, 0xeec88441, 0xf399a046,
+    0xeaa033f6, 0x26f5cc16, 0xa188efbd, 0xb7a33145, 0x6b0a2540, 0xb2d59a31, 0xf11441a7, 0xf7a09c0d,
+    0xcc4ee4a6, 0x0059d8c3, 0xf1335de3, 0xd081f181, 0x034bb6ee, 0xb69454cc, 0x6e7e13e2, 0x8508f4b0,
+    0x4d23e220, 0x83ad19f2, 0x2a834500, 0x2aa515c6, 0x31b30d70, 0x1795bb9e, 0x8b338996, 0x6cc5efac,
+    0x3dc55219, 0xed179635, 0x6395b809, 0xd13d8138, 0x8af09434, 0xec40e58c, 0x341750ef, 0x2624153c,
+    0xf46d4404, 0x4e952d6e, 0xae4f3805, 0xbf9943bf, 0x09e9fb80, 0x33042e74, 0x17c6bf19, 0x8b4719d2,
+    0xa2a080e8, 0x7009eb08, 0xb66f040b, 0xbee157d0, 0xcf5a9352, 0x14a73f08, 0xb30297d6, 0x67d07bd0,
+    0x568957ff, 0x1ee1deb7, 0x7ea9385c, 0x865b6a28, 0xa1faf458, 0xae358400, 0x046d3ec1, 0xd0c58b2f,
+    0x21873f19, 0x000b72bb, 0x62b712b8, 0xf9c9e8fa, 0xfff13dcb, 0xd66b68a4, 0x3cbd8b5a, 0xff9ccfa6,
+    0xc0c619bc, 0x275b263e, 0x6b8e720c, 0xe6d64e38, 0x14bbe317, 0x47c1f8ed, 0x86ca3684, 0xfdbde799,
+    0xdef13bea, 0x17eb16d2, 0x710cdc6b, 0xe1f4050e, 0x66ecf05e, 0x8c767b10, 0x9a4d1967, 0x870aeea7,
+    0x7c93fe7e, 0xe42a4f20, 0x08b8b68b, 0x7805107d, 0x688d58cd, 0x85a76314, 0xf1096224, 0xbe9c5f0c,
+    0x468fcae5, 0x452ba097, 0x932115ce, 0x0dfbe43f, 0x6e1531a9, 0x752a371d, 0xf6da134a, 0x714cbf68,
+    0x9df1ed6c, 0x625860e7, 0x12f37a16, 0xc0152eab, 0x22a1d237, 0x301525e5, 0x7db723d5, 0x5cfabd14,
+    0xc4b47e66, 0x67127b57, 0xa482a0de, 0x9dfca0d4, 0x60a08f19, 0x7ec6904c, 0x74f5fce5, 0xe3fd626b,
+    0x6c24f5e5, 0x32805434, 0x01d7a610, 0x995f5daa, 0x23f37ba6, 0x92f3efe8, 0xae066ffb, 0x1f9c991a,
+    0x60bc66ee, 0x71f98dad, 0xc5b44b6f, 0x489f019d, 0x987db239, 0x7bec87ad, 0x1114e015, 0xe48ca361,
+    0xd2971b5b, 0x110580ba, 0xdb4e9a05, 0x5aaef60e, 0xdfc5c4ff, 0x06c660b8, 0x4de5d73a, 0xfcf92c49,
+    0x3f22111b, 0x3eca352c, 0xed4d4e3e, 0x0e6dc67d, 0x14e4ab2b, 0x1211547a, 0xc4196014, 0xe02c8313,
+    0xb10b899c, 0xb79acb2f, 0xee3077c6, 0x66feee5e, 0x07466143, 0x8238aeb7, 0x94642ec3, 0x91749401,
+    0xba8f2d86, 0x8de7c128, 0xab934323, 0x91c836d7, 0xb8b460da, 0x54d29d1f, 0x2f3fb0a3, 0x2be33c97,
+    0x6c939bd7, 0xea4ad57e, 0x8c043d6b, 0x0e860150, 0x4b9ec1c5, 0x200e79fc, 0x6bf089c4, 0x4543dceb,
+    0x5f0f4db9, 0x7fca0c7e, 0xbff289bf, 0x57851b96, 0xad266281, 0x246b48bd, 0x4b298204, 0xa45252cc,
+    0x4b277ee2, 0xe10d7440, 0x111da072, 0x17cc300c, 0xe79109a9, 0x4a146556, 0xc1cb90e5, 0xa95378bd,
+    0xb2f76c52, 0xec32bdb5, 0xa3a380ba, 0xaaed563c, 0x2dc5a1f8, 0x7dd00c69, 0x4504714f, 0x0350d1ff,
+    0xc12fe29e, 0x7c170d2c, 0xeff5d1d1, 0x73ccb045, 0xbd3cfacf, 0x84954ffb, 0x68695ee3, 0x076fc597,
+    0x3f6ac9e6, 0x5f94057f, 0x4ce17678, 0xa13d229c, 0x9ba7f8f9, 0x992a2abb, 0x22d46a50, 0xa98b566e,
+    0x97c7b76e, 0x7946d4a5, 0x2b95ffe6, 0x1015cc4a, 0x36c83ad5, 0x50f20567, 0x5606891e, 0xc732e73d,
+    0x06628fdf, 0x1cb96a69, 0x6c575e15, 0x6ce738c5, 0xe9b95dae, 0x848ed974, 0xd0b34137, 0x6895bae2,
+    0xc901b40e, 0xbb2d076f, 0x57b1d582, 0x366a19e1, 0xf7ef68eb, 0x66a7828a, 0xd2692862, 0xf8a0845b,
+    0xfb14de2c, 0x55e56ec1, 0x1d395e08, 0x12e17545, 0x61fd2a54, 0x476aaab2, 0x73a49d3b, 0x02d2c830,
+    0x09b70cd0, 0x7d1f8bdc, 0x343dbd00, 0x26cc2a1b, 0xa40e006c, 0x3f759e2a, 0x40d06fe7, 0xebecfc32,
+    0xc7520698, 0x7d5641fc, 0x685c6783, 0xe6995c37, 0xa14510d8, 0x4d054d4b, 0x3ef14cc4, 0xa5ee95dd,
+    0x08491654, 0x2933ecb4, 0x2952c581, 0xc98521a2, 0x40eaf108, 0xcb99c319, 0x37e4f9b6, 0x22ac2199,
+    0x5c6dede5, 0x988f9b4b, 0x2dc429b7, 0x39e99628, 0xadd6d26a, 0x6303b6cb, 0x156b95ff, 0xfc3b3eea,
+    0xd5f0051b, 0x6dbf753e, 0x50d7d5d4, 0xa0fd50a2, 0x02399a01, 0x59d2e8c3, 0xf1df9581, 0xa98eb3e8,
+    0x8103f743, 0x2ff5b920, 0x4fad59b3, 0x1db3e969, 0x8e5edb69, 0x48200577, 0x4eb81c27, 0xa3416fbc,
+    0x4b871f84, 0x4223439b, 0x2530cbe2, 0x103fe639, 0x6f64d8cc, 0xa14bf6e3, 0xf4d0c2a3, 0xce0d91f4,
+    0xe7c95301, 0xbc9388e6, 0x564068a7, 0xc4e92b90, 0x56a521c6, 0xd79ff379, 0x901ea3e6, 0x2a19d833,
+    0x89b2a4b2, 0x2e89d0fe, 0x7e684b03, 0x0df10571, 0xfe53a386, 0x6a873650, 0x8bd94079, 0xed0dc661,
+    0x3cf27083, 0x014e3eb7, 0xab32cfd1, 0xb102500d, 0xfbd24690, 0x4e687564, 0x83a8cd14, 0xb40cf10d,
+    0xdf9f7b57, 0xa23ade3b, 0xd7bf199e, 0xe252b870, 0x6646adcd, 0x30cb2f5b, 0x69b8fff7, 0x3657bf25,
+    0x4a7204df, 0xc2eafa0e, 0xb1bd8fa8, 0xc98bf056, 0x3455b864, 0x5cc940b6, 0x5c28d90e, 0xfc34b803,
+    0xf9871bb0, 0xcc3c9170, 0x7ee9c7eb, 0x7194ae5c, 0x888a7a96, 0x05a7030d, 0x595da6dd, 0xc46de7b6,
+    0x5d8c1c59, 0x1dfdb60a, 0x44a5da49, 0x0bfd7ad3, 0x93c918c2, 0xed62ee60, 0x323607bf, 0x7f67a5ad,
+    0x83499712, 0x20b4645c, 0x54584c8e, 0x6342592e, 0xee4eacf0, 0xab310847, 0xd68bf369, 0x5b4bccf6,
+    0xc2ffb311, 0xbb4787d8, 0xf3b850a3, 0x9d23f658, 0xc39dd928, 0x7a3d8bfc, 0x1de07622, 0x469b7ceb,
+    0xcd057412, 0xfb62ebab, 0x674e3d72, 0x2c20afc2, 0xbe870958, 0x5a662856, 0x9549e2ec, 0xb209884e,
+    0x678bbc95, 0x0af9cdcb, 0x11b53ccb, 0xc9755f0c, 0xe3cc4ed0, 0x689599a3, 0x86e8d49b, 0x67acd3de,
+    0x16e43b2d, 0xe552975c, 0xf9e28c3e, 0x7252c23d, 0x48b5a9ad, 0x3e050b21, 0xda557cd0, 0x13c79795,
+    0xa56f94d2, 0x20bbffdd, 0x0461a57b, 0xaecdf349, 0xf5a0ea34, 0x5923d87d, 0x160e65b1, 0x1601569e,
+    0x48954024, 0x16e71c94, 0x85510338, 0x9df40bb4, 0x216fc6d1, 0x68e78ee4, 0xd2021d83, 0xcf53b12a,
+    0x4c0cca18, 0x84b49d93, 0x7b2e5eb8, 0xcf560455, 0x283575ed, 0x32cec516, 0x7d652adb, 0x3cf5f927,
+    0xb503119e, 0xba4210fa, 0xd603b07b, 0x0d821a5a, 0x2b4a381b, 0x4d24b92b, 0x479c2e8c, 0x0e46c58f,
+    0x98f96056, 0x13fe2cc1, 0x6ecd897d, 0xd0a932a3, 0xf2bfc806, 0x619fd20a, 0xd781f69d, 0xf32667c2,
+    0x90d13c33, 0x30aba1ac, 0xc4f8aa1f, 0x4e275974, 0x44e8f685, 0x1c27e12a, 0x8ad0c098, 0xcbd8cc04,
+    0x1f11fcb6, 0x57642960, 0xde43e3b7, 0x1e1f70bf, 0x39e570e3, 0x64702c54, 0x6480b0a7, 0xfe6c920c,
+    0x708f4a90, 0x22dce393, 0x5a0ec9e5, 0x686dbf36, 0x707fd65e, 0x44d46976, 0x9ac7dd36, 0x5a9a0d41,
+    0x5fb10030, 0x798d1c69, 0xac72e63a, 0xa2e3b2c6, 0x074c7c44, 0x8bdb28af, 0xc31b903b, 0xa4424b0d,
+    0x00000000,
+    0x1622ae0b, 0x2f99af02, 0xf7d187a6, 0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090,
+    0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000333747974362642200\
+                          37422214158899251790667258161822699530422525122222183215322508594108782608384 */
+  { 0x00000000,
+    0x0dde49d2, 0xfdf4e48e, 0x2ca7430f, 0xb1107db7, 0xe6515631, 0x0ff30b17, 0x465b733a, 0x1081277c,
+    0x3cb607be, 0xf17d4454, 0xafb46eee, 0x544722f3, 0x28390db4, 0x0c804c75, 0x2d5246e5, 0x0de9e0c3,
+    0x7e39f887, 0xde18050a, 0xdd37e65b, 0xcdce8dd0, 0x2a1c9419, 0x3b279594, 0x273f52f6, 0x459588bd,
+    0x28c738c8, 0x319a78cb, 0x006f4476, 0x56de3f00, 0x3aefdef4, 0xff48b2a3, 0xa10d28b1, 0x8c47cc0a,
+    0x4085df7d, 0xcd1c0b1c, 0xec7dd744, 0xa0f105a9, 0x5b24a972, 0xc238a7dc, 0x6f07dc76, 0x70c577f9,
+    0xbf2a1e4e, 0x53ba5d9c, 0x5be48e08, 0xbbe4f62f, 0x4a3a9d19, 0x421939cb, 0x837b804d, 0x69fd17cf,
+    0xf8df27c2, 0xffb756c2, 0x83f35f80, 0xcd4b72b1, 0x1c54dc89, 0x5348f847, 0x67c6ad0d, 0x4b365380,
+    0x69b99c54, 0x0d5a7597, 0x5d2c0ea8, 0xedcb7a99, 0xcf591f6f, 0xcf5e96cc, 0x15416898, 0x198960cd,
+    0x70045942, 0xe9505bfc, 0xf3f97e58, 0xa8fa68ef, 0xe9aa9afc, 0x1bfa9019, 0x8ee08e44, 0x12cd3bb7,
+    0xa9945d06, 0xec676dbc, 0xd3fd1401, 0x13249bfe, 0x5f6bf6f2, 0x2052b534, 0xcc6fe8f0, 0x467a4aac,
+    0x1a8f6729, 0xede6df1d, 0x9e16f610, 0x9bd0469c, 0xd4742bb0, 0x8a191573, 0xfc2d30cc, 0xc205045f,
+    0xb30d8dcf, 0xd966b6b6, 0x275b766a, 0x746985b8, 0xd75109cf, 0x688d12c5, 0x1dfbed59, 0xb0c1a754,
+    0xf57e93ad, 0xe65e4347, 0x2993d966, 0x7a312e7c, 0xfbd2e70d, 0x1356eb29, 0x21ca69e9, 0xe534df0d,
+    0xd546aca2, 0x7aefce01, 0xa7b6398b, 0xf1c274fd, 0xd6a09b3b, 0x3afeb0f1, 0x5c0be556, 0x906b8d5a,
+    0x48162d9c, 0x88cc1592, 0x4eb0a265, 0x62fc4600, 0x64dfdd52, 0x5390a853, 0xf26136f0, 0x61a39772,
+    0xd37ab50e, 0xa119670c, 0xce9cf8f1, 0xd8092b6b, 0xf9b2bf31, 0xdb9362a9, 0x93dc3228, 0x05e35360,
+    0xaacbeb36, 0x1e95da5f, 0xc4a1ec9c, 0xbb7932d7, 0xa7d3ead9, 0xa8dfede2, 0xb216020e, 0x966cbdbc,
+    0xa2f8990f, 0x0cc039ac, 0x14a88ec9, 0x63b583e7, 0xdb508ac6, 0xbac4f7e5, 0x3afe85f1, 0xc18af7e6,
+    0x940583c4, 0xf7e920bb, 0x242cb7a1, 0x19ba17b4, 0xb56fe851, 0x42956349, 0xf93848a2, 0x172ff580,
+    0x8c38dd3a, 0xadb823cc, 0x421fad94, 0xc77bb22d, 0xffc89279, 0xea2eadb8, 0xca5ec71a, 0x7f5682a6,
+    0x73adb324, 0xa428c616, 0x398966b9, 0xa168ef13, 0x70d8187f, 0x6cfd793b, 0x2f76ef77, 0xe1b94c69,
+    0x1cf11b2f, 0x756fab20, 0x128bb089, 0x06298f42, 0xea3da735, 0x8bd1a352, 0x8603e741, 0xc7753cd3,
+    0x437e8a71, 0xd480b7ae, 0xafba4541, 0xbcc4acf1, 0xe930421b, 0x61c9f1ed, 0xb24ad019, 0x14763498,
+    0x10c89471, 0xc9499e17, 0x7ce70a50, 0xf2281882, 0xe9ec81d0, 0x07422fda, 0xdebfc758, 0xc75ebffc,
+    0x7b080b74, 0x4fbe8fdf, 0x1f5ad7ee, 0x93ab1902, 0x988475d3, 0x1f86f109, 0xf8a7a44a, 0x2fc7fa8f,
+    0x121f2f28, 0xd24528e8, 0x99434c77, 0x072af6f2, 0x40192caf, 0x67c9c49f, 0x88123463, 0xbab5fae1,
+    0x3b00dd18, 0xc3f8006b, 0x3723ebf2, 0xa98f4f2a, 0x64380da5, 0x622bc7b6, 0x2588b6e9, 0x2a78969d,
+    0x1c1bfb69, 0xa51eebc9, 0x794f9317, 0x2f99a12f, 0x76e4d4e9, 0x955c0941, 0x4d7e2a0b, 0xb45c83a7,
+    0x11a9c3c2, 0xaacea4b3, 0x1cc59af1, 0xe5bb1290, 0x4787bbfb, 0x1ddd13a5, 0xec5ddbcc, 0xba135021,
+    0xd51ec0fe, 0x60cf23d6, 0x3c744af6, 0x00cf260e, 0xc9df2c66, 0x76ee5836, 0xec9b7639, 0x52240a42,
+    0xb2b090c3, 0xe7af53f6, 0x65aa5e15, 0xc2f6145a, 0x6f60761f, 0x34fa670d, 0xed969a84, 0xb919faa3,
+    0xa80aa703, 0x7171d7a0, 0xa8a342b0, 0x5d3e603c, 0xe04a5897, 0x598f42a9, 0xdb865589, 0xf45516d5,
+    0x2e261036, 0x26704358, 0xb57a1e16, 0xcf52847c, 0xba38c4aa, 0x01e1f8f0, 0x788541a4, 0x270bccc7,
+    0x25bad55f, 0xb429cb24, 0xde2e2620, 0x481ac737, 0x61b7e371, 0xb2182ffb, 0x8f4ee0a9, 0x2deae57c,
+    0xfe1b645c, 0x78277cd6, 0x1c43dc87, 0x1a4c6ad9, 0x46b1afaa, 0x9ce8369d, 0x9d6a7b00, 0x7c9a59f1,
+    0x136179a5, 0xd2b02604, 0x35228303, 0xc46a5edb, 0x7752452d, 0x8080f4e2, 0x3610037e, 0x4b579101,
+    0x1bb1a21b, 0x64763f05, 0x424d705b, 0xb9b93c4f, 0x9bf126fc, 0xac509715, 0x5cff42ce, 0x64015bc8,
+    0xf37e2d07, 0xc0600601, 0xca6365b2, 0xe4feef3d, 0xc30dbd87, 0xfc941220, 0x206fbbf9, 0x0791ec09,
+    0x25d3dd71, 0x5256dd55, 0x950dd747, 0x30a837db, 0xe79ee161, 0xe68a80cb, 0x4ec23a4d, 0x4a7add79,
+    0x218c5c6b, 0xe122da60, 0x1a404483, 0xee9926fa, 0x08f5d00f, 0xfca257ca, 0x18d1f6a7, 0x0c33802f,
+    0x1c528483, 0x96a2d1fa, 0x1a636207, 0x92537ed9, 0x06bcce8a, 0x24a608c9, 0xf93cd629, 0x9f7bfa63,
+    0xa12d380c, 0x3e4dea62, 0xcaba204f, 0x360a9b39, 0x05ce22af, 0x25976e74, 0x255a8076, 0x9d6480e7,
+    0xe64e2f00, 0x60ce461c, 0xbe32ba84, 0xf7603da6, 0x58771b3e, 0xac337b41, 0x29dd435c, 0xa65a71e7,
+    0x4d84c64e, 0xbe22c9bf, 0x134cdb2e, 0xf7079413, 0x6e6ebad0, 0x86c1c1fc, 0x3d488b0b, 0x6a4224a6,
+    0xf9e8cc84, 0xc02354ab, 0xe66f4875, 0xeab70308, 0xdcc577dc, 0x8b32c766, 0xa75641a1, 0x6db702af,
+    0x57187dc2, 0xac44ce35, 0x6dd629ed, 0xa59d3450, 0xdbec925c, 0xd1a31ca6, 0x7d83b54c, 0x2810c295,
+    0x061e0bc7, 0x9d0e3b20, 0xdf56a32f, 0x9e8f8c69, 0x523355bd, 0x9983cfc2, 0x0882684e, 0x3741f866,
+    0x57d04fad, 0x2451be44, 0xac3be417, 0xed9bc428, 0x749fc22f, 0xbb46aebf, 0xaa96534e, 0x37211e86,
+    0x8d857ad8, 0x1d6db263, 0x338ab4fd, 0x2b26c615, 0x30ffee95, 0x8b85558e, 0x070690ab, 0x6853ff24,
+    0x431d4ed6, 0x0ffa37c9, 0xeea50acb, 0xbd2b6ed9, 0x3577ee61, 0x016c78f0, 0xe061cd54, 0x1fe5750d,
+    0xe5c3c3ac, 0xccb2af0a, 0xf5966aa5, 0x25558a88, 0xd379d471, 0x1390c301, 0xc6ff1929, 0x334d72bc,
+    0xfd056ff9, 0x5948034c, 0x489eee4c, 0x92d5ebc7, 0xe938a977, 0x2a68e263, 0x51e6a3d3, 0x1fbcdaa5,
+    0xd02a1a1d, 0x904f7aa3, 0x2a390b73, 0x2dedb872, 0x9ee54f9a, 0x3e65f858, 0x824d64c9, 0xfa08bdac,
+    0x6010c2b3, 0x256bf08e, 0x95f51dd3, 0x6379a06b, 0xd23558aa, 0x814f6a2d, 0xff8c0131, 0xe7776f29,
+    0x8ca1411b, 0x72b6df55, 0x94bb7048, 0x0e944299, 0x4d94a2e4, 0x3be6f4a1, 0xb4cc3c35, 0xd0a5b5bd,
+    0xa9b4ab43, 0xe3a88a8a, 0xe24f094e, 0xb27d45ce, 0x30d1d842, 0xe450b9b7, 0x81831acf, 0x6227a595,
+    0xdab10fdc, 0xd09e09dd, 0xa96797d7, 0xabcfd258, 0xd39e2426, 0x2ac494a6, 0x946cbdbb, 0x8f31d5e8,
+    0xa4c456da, 0x8a04d6f1, 0x6b4790b5, 0xc2b774da, 0x124f43b5, 0xe8b1c919, 0xb2e91a7a, 0x4c38b82e,
+    0xc0edca64, 0xf243fd74, 0x260a184a, 0xe435f58b, 0x2744f764, 0x44398d07, 0xd6c93fbe, 0x3ef55fe8,
+    0x2088d758, 0x5e336a9d, 0xd06df204, 0xe7f62e8f, 0xa494f387, 0xcf04feca, 0x264bfe2a, 0x225e3062,
+    0xd82812ef, 0x786ebacf, 0xe36bf9a2, 0xbe21d7a5, 0x5369e13d, 0x7b978e90, 0x33834d13, 0x1c927e04,
+    0x4c7b5ff0, 0x4954a516, 0x45e6cd82, 0x807fd7e5, 0x7d0aa8f6, 0x2da33c35, 0xb827dd2b, 0x0917eeee,
+    0xac5943ff, 0x5afb12cc, 0x86c10c44, 0xb0f5db58, 0x42b9c7cc, 0x88358a9b, 0xae322ad1, 0x0c251ee0,
+    0x220ae478, 0x8283fe9f, 0xc9d561d1, 0x2178f0cc, 0xc41e4ead, 0x59b0f2a4, 0x5eaac523, 0x658efcf9,
+    0x74beac32, 0xccec94dc, 0xa2edfdc7, 0x3d68f381, 0x84a3eaaf, 0xa209abfe, 0x6d2ea680, 0xc5c814dd,
+    0x783ab251, 0xb96b25cb, 0x9ba040f3, 0x31f64fc3, 0xb086be53, 0xe56b546e, 0x86aaef6e, 0x4944c6c8,
+    0xef0a166f, 0x75cf0d9c, 0x9057c712, 0xad25b2b3, 0x5b0b7cfb, 0xf2aee8b1, 0x905177ff, 0x297ee558,
+    0x903a82dc, 0xc2d25afe, 0x60fe0843, 0xebe36d17, 0xcd65e608, 0x8777b049, 0x623e69d4, 0x99feecdb,
+    0xe3d74658, 0xf41c4094, 0x0bba7ca6, 0xd007b62a, 0xc245bce0, 0x34a73773, 0x56b06471, 0xa0327505,
+    0xea733360, 0xce56cf91, 0x410680ab, 0x0c2f7503, 0xa529f371, 0x47dc8a93, 0x5c20239f, 0xfb65f75a,
+    0x66c0e11a, 0xa7474612, 0xb44d36c5, 0x9db5ec02, 0xc0aa59a7, 0x20147c1b, 0x3186b0c6, 0x9c177fc1,
+    0xed424ba7, 0x5df038fe, 0xf146d314, 0x30709119, 0x0fbfe04d, 0xe2fae2fc, 0x76c598b7, 0x6e7b6309,
+    0xa03e9d5a, 0xd0c18e34, 0x9b098166, 0x0f701008, 0xfc76abf5, 0x7885cc97, 0xbf770d81, 0xbe5ed173,
+    0xc2fef752, 0x68732b18, 0x6f62fdb4, 0xfe0cbd87, 0xf8eb689e, 0x12d1b62c, 0x0684cc4d, 0xf073349b,
+    0x56625bf3, 0x9d40741e, 0xf78d7cc1, 0xbf8d1d29, 0x263290ab, 0x2c5cda05, 0x9a5e8429, 0x90ee5537,
+    0x2955378d, 0x084bbdae, 0x3b8ba8b6, 0xc52e3303, 0x0e27a6f6, 0x31c0f499, 0xc814fce2, 0xdd8aceef,
+    0x395af668, 0x31428017, 0xe53bfde5, 0x1d2579a9, 0xf17ec3da, 0x1bec4fd5, 0x6533d929, 0x995e8886,
+    0xb28847b4, 0x245d084f, 0x39623743, 0xa67febd8, 0x54c9aa13, 0x5e0496ba, 0x612b9dd2, 0x64f1f4d4,
+    0x26397ff7, 0x3a2a8c78, 0x47a4286d, 0x6acfc9d4, 0xe28d8834, 0xb4ec4dee, 0x67238ffa, 0xf772645b,
+    0xd3a05b78, 0xf7f1c999, 0x18b24eba, 0xebec4888, 0xcfd03920, 0xb6f3efb9, 0x782c2dcc, 0x359ec892,
+    0x6b5915ae, 0x4107e96f, 0x2ccecd25, 0x04094db6, 0xcccaf27a, 0x6d1a1711, 0x08a9abc6, 0x6df3e3aa,
+    0x49039aad, 0xa4e881ee, 0x05b75d70, 0x5f191c4e, 0xca50d87e, 0xd142bfa8, 0x25a2eb10, 0x34e06603,
+    0xbc5dd389, 0xaf1e4530, 0x03649d10, 0xae325027, 0xe895ff21, 0x3adced4e, 0xc7ea3360, 0x3bde8d36,
+    0x7119b49c, 0xe01d2448, 0x92b722ac, 0x831b12e7, 0x0120a3e1, 0xaa98c536, 0xb6286e45, 0xfd36f979,
+    0x7b57a4e2, 0x0a897801, 0xa5a70365, 0xba57e809, 0xcb0eb337, 0x04f850b0, 0x16d6be98, 0xe9a217e1,
+    0x59754db7, 0x59d56d69, 0x5d318343, 0xe3dd340f, 0x3c35ec59, 0xc00d0b43, 0x423c9345, 0xe5c71f03,
+    0x52e83392, 0xc71aebe8, 0x787d5e97, 0x5d240f18, 0x9620a0da, 0x78035499, 0xc8c43f9a, 0xa5f2eca5,
+    0xe784e9da, 0x6f61f052, 0xe046ccac, 0x7139d448, 0x3cfc684c, 0x036b3929, 0xb47fdec9, 0x567e652b,
+    0x8415501c, 0xebff424d, 0xf4f32833, 0xa8e2d3b3, 0xd7768a95, 0xe09edb5f, 0x148919eb, 0x6ddd548d,
+    0xb7699f04, 0x34288a4a, 0x88c41e20, 0x12adb68b, 0xf3a4a3a4, 0xda919aad, 0x380231f6, 0x1b079e5e,
+    0x393c5a51, 0x01e67719, 0x0e9b04df, 0xa08ec5d2, 0xa44dfc73, 0x31800184, 0x6ec336a4, 0xec0b664f,
+    0x0276b243, 0x8cc0a2ce, 0x70d79f69, 0x82de68a8, 0xe9eba397, 0x9a133adb, 0x81d26313, 0xd68cae1d,
+    0xeeb02189, 0x8208de8e, 0x20ca9d01, 0x79002eba, 0x8ce04735, 0xe7a115c5, 0xca831824, 0xb833e330,
+    0x43af3c15, 0x0eb744a0, 0x7ac2f55a, 0xc304faab, 0x3e27c732, 0x4415aabd, 0x864df254, 0x9b510380,
+    0x7b207063, 0x1cc0355d, 0x70702db0, 0x227a56d4, 0xf44e24c3, 0x5fd2d93b, 0xa542b807, 0xfaaab75d,
+    0xf2d4e410, 0x9f230fcf, 0xf9cf4257, 0xbcb656fb, 0x28c52530, 0xd83562e3, 0x7db9b4ee, 0xd300cf47,
+    0x29ac9d41, 0xbe67ddc7, 0x35037549, 0xea3c643d, 0xe9a4269f, 0xb181380c, 0xc98b78d9, 0xe3682c07,
+    0x38f3524a, 0x8cf76429, 0xc0a6bfdb, 0xf617956a, 0x534e71c4, 0x0e4d6a9b, 0xefc5bc18, 0xb13752ed,
+    0x576e70cf, 0x86c34ef3, 0x5e8b9bef, 0x3c1d4086, 0x78b59ccf, 0x40d67b72, 0x4fcb0ad0, 0x39f4a1b4,
+    0xa659c395, 0xcdea0bd6, 0x98ae21e4, 0x6c4dbe11, 0xbe71609f, 0x6fe45fd7, 0xfe33eb49, 0x19516fe8,
+    0x04057241, 0x5c81b655, 0x3e2328b7, 0x050eca8a, 0x9f244b4e, 0x085ec514, 0x824aaa05, 0x98dac861,
+    0xb3cf8084, 0xb0932d5d, 0xaa1cabb4, 0x589c75bd, 0x14ca982a, 0x2a857f18, 0x070840bb, 0xf2beca43,
+    0xa8a9347a, 0x26476a07, 0xd657c81a, 0xa4adec1e, 0x7b3137e5, 0x1cd2a055, 0x10794636, 0x8332def5,
+    0xe088aca2, 0xd62a9529, 0x646933dd, 0xaf56b09f, 0x6bf15bf3, 0x5797cf7b, 0x9219ded0, 0xd92c2cee,
+    0x178c89a6, 0x48ba957e, 0x9c69b8c9, 0x0059ad5a, 0x3f91476f, 0xa760c0cf, 0x138928ec, 0x4651183f,
+    0x7fff9478, 0x69a48d65, 0x0985f694, 0x3c0afa32, 0xe21a0a79, 0x63cf3979, 0x142b4efa, 0x38c2a0b6,
+    0x1a87fddc, 0x1b32c1e5, 0x3f46d741, 0x30321c92, 0xe6e523db, 0xb9ac9423, 0x12d8dc0a, 0x293a3956,
+    0x0f799123, 0x55fb7242, 0x382da594, 0x9d89b8ff, 0x7e4316e2, 0x8adcd7c7, 0x27f188e1, 0xd2e17356,
+    0x45317112, 0xa6fe552b, 0x6ea77d63, 0x5d2802e5, 0x6613d4e1, 0xfcfed894, 0xac544bed, 0xd044c30e,
+    0x54e704a7, 0x68f891da, 0x018c687b, 0xbf9a7de6, 0x56601b8d, 0x3e51bcec, 0x3b4c770c, 0xb33ee171,
+    0xdbf6262e, 0x79d62ae0, 0xacd0bfd0, 0xbeef38ca, 0x269ea2c8, 0x1a504c7f, 0x6302d737, 0x672a45a3,
+    0xe520005b, 0x0f78ea99, 0x29764020, 0x51f4aece, 0xd1c9f39a, 0xb698b0c2, 0xa188f1f1, 0xe6746173,
+    0x32708461, 0x1a99f753, 0x522d1eed, 0x366abd4b, 0x80e55d80, 0x56631ab8, 0x987889d6, 0xbbeee03d,
+    0x7b3639b8, 0xeabe5877, 0xd1df61d3, 0xef370127, 0xf51e9b7f, 0x037e0919, 0x9043cdf7, 0xb23c4ba7,
+    0x7a4fdb8d, 0x06f615ff, 0xf1c960b8, 0xc976a6e1, 0xa6a0a6cd, 0x41da0397, 0xeeb8532c, 0x20cde9b0,
+    0x7b15e096, 0x4f0f0d30, 0xafddbac6, 0xec2169d9, 0xe1661caf, 0xd3633ff0, 0x9072cff8, 0x43241b20,
+    0x0d147a97, 0x01afd5dc, 0x27851780, 0x7f7120b8, 0x41b05f3e, 0x18dd1bb3, 0x936a1778, 0xab998a68,
+    0xb385bced, 0x18a56ece, 0x878ff9a6, 0xb1389ad6, 0x92606471, 0x8cb0a410, 0x25d7a0e3, 0x58760f82,
+    0x1641ed9c, 0xd791cca7, 0x44544915, 0x402290ea, 0xf0704334, 0xb8322301, 0xca9ee094, 0xc0d7bcd1,
+    0xbd043d4a, 0xcc563453, 0x74183065, 0xddde4fad, 0x4cd8da2e, 0xb75b8f0f, 0x5ba0dcf7, 0x99bb2033,
+    0x6073a666, 0x242fd07e, 0x28964216, 0x4b9842a4, 0xb7d68d45, 0x49ea67e6, 0xbdbeadb1, 0xb5197a46,
+    0x38026f33, 0xc90fd966, 0xdfa3664c, 0x034f7e83, 0x83672326, 0xff10147e, 0xb83bd8b6, 0x5a578b8d,
+    0x2d735a5c, 0x7be65616, 0x81858e13, 0x1e09f069, 0xf29f65f7, 0xbf762370, 0xbdce84eb, 0x8d50045b,
+    0xe36fe340, 0xab4687b6, 0x487b3230, 0xabd7bf7a, 0xe7752905, 0x8add4ce0, 0x1a8b012d, 0xf527146d,
+    0x30630fab, 0xae9892ef, 0xe051e175, 0x74eb6d71, 0xc07d3acd, 0x7c0d5e04, 0x6d19d1cc, 0x03dd47f4,
+    0x86aee8f5, 0xed9c2d33, 0x9b62fe4e, 0x1c3feae6, 0x405f1f55, 0xa86f5239, 0x8ad43199, 0x91002120,
+    0x00000000,
+    0x0b115705, 0x17ccd781, 0xfbe8c3d3, 0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048,
+    0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000166873987181321100\
+                          18711107079449625895333629080911349765211262561111091607661254297054391304192 */
+  { 0x00000000,
+    0x21266f3f, 0xf5727346, 0xc9af6235, 0x8fe11591, 0x95b1f203, 0x8c7dc4ea, 0x1ea40883, 0x0bf23228,
+    0xb27d67bf, 0x274460b9, 0x6d236ef7, 0xd8face60, 0xca5552aa, 0x292e2938, 0x90e147af, 0xa14e4701,
+    0x3cafc984, 0xc0c46870, 0xd3148cd5, 0xc26d5a05, 0x3a31ac63, 0xb0bb4a3c, 0xd0fa5821, 0xa406576b,
+    0xa08be4bd, 0x873173f0, 0xbcf7a848, 0x63b26a09, 0x5a3575ad, 0xf02651bb, 0xae0731a3, 0x7fad0118,
+    0xf8202482, 0x3fac7830, 0x1f13ad9d, 0x036644ab, 0xeadeff4c, 0x9b50b173, 0x391d99a3, 0x0759f52f,
+    0xbb8674c6, 0x1b3ae249, 0x010f2048, 0x74abb8ee, 0xcbca3723, 0x69cd6b41, 0x5c3300ae, 0x5102c137,
+    0xf0d1f868, 0x3d2a7652, 0x0554f2de, 0xd7382dac, 0xa361b22d, 0x2e9a09e2, 0x1e0fa97c, 0x44a7e4d7,
+    0xc68ce1c8, 0x40849a90, 0x99993fe8, 0x7341dc26, 0x61d6d404, 0x9a4ca14f, 0x873fea7b, 0x72408db8,
+    0x252481cb, 0x78cdf4ba, 0xd4d83846, 0xd8ccc99c, 0x9acb05bf, 0xcb0b524d, 0x0856253d, 0x379109c1,
+    0x493aa0ab, 0xa9bf75f2, 0xc81c96c6, 0x9c873431, 0xb44a620b, 0xf113d0d4, 0x471ef819, 0x9c8663d4,
+    0x76c13ee6, 0xb822a6a0, 0x260b24c5, 0xe2f84cc6, 0xa7ab5332, 0xeb41d1b6, 0xf0aaba3a, 0x0c66c5fc,
+    0x283b16f3, 0x2d5e5375, 0x18aea616, 0x301873ab, 0xfe1aa1dc, 0xf38f8efa, 0xb2148a69, 0xf5539899,
+    0xa16297c9, 0x2b5d3ecd, 0xeeb5a721, 0xdd0e9d5a, 0xa89ed1b5, 0x5a2f9892, 0xad54261a, 0x1a870700,
+    0x47871da6, 0xa7f7d0b0, 0xb916f19e, 0x79659ce0, 0xbf47a329, 0x8ca0a64c, 0x0a350f1d, 0x27733701,
+    0x99354b75, 0xe11ca2ed, 0x3c5d58b9, 0x092a4b18, 0x5dee6edc, 0xee288d6c, 0xd4293cbe, 0xdef28a04,
+    0x3ad1562f, 0x2859c78a, 0x1a88703d, 0xb22a1dee, 0xb534d065, 0xd136986e, 0x542b0943, 0x9cf79bf8,
+    0xe7115a4d, 0x571c603f, 0xe72bbc94, 0x78994441, 0x3668836d, 0x83c36349, 0xcd425c2f, 0xf550cc80,
+    0xc10a0ad5, 0x4f9505ef, 0x5188e02b, 0xf2561647, 0x89b6cda0, 0x35635b0d, 0x724a3af3, 0x5e19388a,
+    0x0dddc181, 0x531c01f5, 0x94a353e1, 0x61a24c5b, 0x7f0e8093, 0xa41d0c09, 0xc45534d5, 0x87b2b58f,
+    0x5d5e0511, 0x2d72f3c5, 0x076c8391, 0x87e47cf0, 0xdfca68d8, 0xab3c3ac4, 0x8bad5d51, 0x0df46dcf,
+    0x00af4819, 0x09d0b95b, 0xc8b7cb11, 0x80838943, 0x81d76e69, 0xab25e8ab, 0x76651153, 0x849c74bf,
+    0x2f6603ed, 0x03211a22, 0x07a306d8, 0xe8c0c52f, 0x64f916da, 0xe79f4d2d, 0x19c3198d, 0x0f020d47,
+    0xbf7b3cf6, 0xcc5384e0, 0x84853b1e, 0xa8d06cb9, 0x29e50002, 0xec36d080, 0x6139b663, 0x1f812838,
+    0x99941b0c, 0x1ca34059, 0xcdcd5880, 0x38d7b1d7, 0x2aaefecd, 0x16a50a5a, 0x42554a57, 0x858b6021,
+    0xc705a0f5, 0xc4aeee5d, 0x9ede3dc0, 0xa90f3031, 0x544324c2, 0x0548bb66, 0x5bfb6909, 0x497e71f6,
+    0x8784a57b, 0x5e94283a, 0x7254262e, 0xd22ad698, 0xab8643c0, 0x3611c1e3, 0x9f757134, 0x28b8725c,
+    0xae90869d, 0xbb757e07, 0x7c8cf210, 0x724e39e2, 0x6d1c4951, 0x69885802, 0xa5472a36, 0xbfc14f78,
+    0xcfbce733, 0xc701cf2e, 0x3c84b536, 0xc772891c, 0x6b455364, 0x84afd5a9, 0x0b18cf15, 0x4b4ea897,
+    0x89acb90d, 0x471eebcd, 0x0eefd85f, 0x95269bb6, 0x3541249a, 0xf7cbacf1, 0x1e8e121b, 0xf7a02a61,
+    0x8a00bdde, 0xc1753483, 0x109a7ddc, 0x44ca6411, 0xf30485f6, 0x18683d02, 0x8cb5e6b4, 0xeb943060,
+    0xc96d0fdf, 0x4deee177, 0xa71c4066, 0xf1fba93b, 0xa49e3464, 0x21001d8f, 0x78ad724d, 0x61da8288,
+    0x0ed90f94, 0xc545f031, 0x67893350, 0xe0ce2a7f, 0x7fe7da5d, 0xb6707f97, 0xc82bec34, 0xf88248e9,
+    0xca8154ab, 0xefa6c3e3, 0x2a003999, 0xb94d55e8, 0x11ef69b6, 0xddeb9c96, 0x9475402a, 0x8898f2fe,
+    0x6c08481d, 0x5ad6d47b, 0x45de879b, 0xf12a1527, 0xbb393f09, 0x58fbd537, 0xc666adc3, 0xa870b875,
+    0x18b078f5, 0xc721735a, 0x691c2069, 0x58cd66b9, 0x56f51a0f, 0x1bfde31d, 0x56457b9e, 0xbb647419,
+    0x91786ca0, 0x1fe07e87, 0x786b5532, 0xf4b030af, 0xba6a88ce, 0xa5a73e7d, 0x53844f0a, 0x22abbdba,
+    0xfb03445d, 0xdaaf238d, 0xf832ab77, 0xc76b754d, 0xd89fa9b0, 0x90294002, 0x1a84caed, 0x44f4bd4c,
+    0xf96cc2d6, 0x36b92aee, 0xc583ede1, 0x2c2c190c, 0xe7efc4ba, 0x2bbd8e31, 0x98e6a72d, 0xd7fd74ad,
+    0xafe2dc66, 0xc4563dce, 0x798b9081, 0x173905f8, 0x97f765f2, 0x0c47b043, 0xaecd67fa, 0x26dfea21,
+    0x2e532824, 0x714b8fda, 0x09115c79, 0xf78d32c4, 0xf879f199, 0x7d3816b6, 0x9d906fbc, 0x4df4ca09,
+    0x1a5090b2, 0x2376653a, 0x507a339a, 0xa0d89488, 0xba13590d, 0x34db7040, 0x771eccef, 0x41fd55d0,
+    0x667dd7a8, 0xe996faa4, 0xed3e1345, 0x4d1e6c75, 0x94d4ddfb, 0x12f480b2, 0x66f238c4, 0x96da120a,
+    0xd2c63dca, 0x69ebed06, 0x7d1f143f, 0x34741500, 0xe009eb43, 0x9433c50a, 0x8242bb0d, 0x22da2875,
+    0x3a3640d8, 0xd33b0b8f, 0x1baf372f, 0xb6d1a65c, 0x8aa2441b, 0xc2b56c76, 0x32d303b7, 0x31f97d72,
+    0xff272475, 0xc4c352ba, 0x40f45e72, 0x75d29332, 0x0c114594, 0xb98327a3, 0x62ed922d, 0x027c4957,
+    0x80e5fe02, 0xd37a57e4, 0x79ce6594, 0x39d0f262, 0xb25bc12d, 0xd07d787c, 0xd21fa08a, 0xfe8e53e0,
+    0xbf12ce67, 0x45acf874, 0x5f987b08, 0x3d2ce9ac, 0x38ce8fde, 0xda7b1be4, 0x4b62885d, 0x062fc088,
+    0xedcb37c4, 0xba414e0f, 0xffa4b682, 0x8e943c77, 0x24487678, 0xd232a186, 0x0630cebc, 0xeb31d075,
+    0xf89c2546, 0x1bbe956a, 0xecdb3f06, 0x1aec25cf, 0xde0fa0f8, 0x424beef4, 0xad67d2b9, 0x199160d4,
+    0x4ce90355, 0x737c01e0, 0xcbc54fff, 0x8c344ecf, 0x74604424, 0x634953a2, 0x488b6701, 0xee663068,
+    0xa1e57098, 0xb83b168a, 0xb5fcb1bd, 0x3b4cafcf, 0x41ee1bef, 0x5aaf5920, 0x70c524e2, 0x0b5f5abd,
+    0xe3963a13, 0x630920ee, 0x5df2577a, 0xe3e5eab4, 0x9b4392e2, 0x1ca4510d, 0x4abd954c, 0x6fe709c5,
+    0xd49abe78, 0xe8117c46, 0x80f640ef, 0xb0ce8e5e, 0x5b2a6b65, 0x8b562af1, 0xffc3cf00, 0x150b107c,
+    0xf18748d4, 0x3d5e61a8, 0xb56e91eb, 0x4f05c1c3, 0x0a819cd0, 0x0a05a1b3, 0x2e5f6a2e, 0xa0be270d,
+    0xad2fd747, 0x27132ff0, 0xab8630c1, 0x886ff350, 0xe45cbc57, 0x994f00ef, 0x27a0542c, 0xf0d9e905,
+    0x0fc2c620, 0x5f8be24d, 0x75a249f0, 0xfc3a88bb, 0xd3838cd4, 0xa540cef5, 0x4eb90d97, 0xf8b36764,
+    0x06256ebd, 0xd44ed993, 0x51c060bb, 0x3437a7ff, 0x9d7161c6, 0xd0f378c1, 0xee8398ae, 0x89383a70,
+    0x5fa94085, 0xf88b415c, 0x112f41f6, 0xfebfac93, 0xd6f095fc, 0x410a8a70, 0xdaf6e55a, 0x1ab09b86,
+    0x09cfd66e, 0xc5051a50, 0x80b82202, 0x91cbdd03, 0x71adb467, 0x60acdba4, 0x84c242b6, 0xb133fb09,
+    0x825c8bf5, 0xbb9512d2, 0x721d77de, 0x76e44619, 0xd093260f, 0x6ac8e15d, 0x155fb1cb, 0xa318aaab,
+    0xcf0f86f4, 0xd50de6d1, 0xeb0c9855, 0x39429763, 0x43a56eca, 0xb78b64d2, 0xe5cfae5f, 0xfddb11b2,
+    0xc6592e2b, 0x155c86a6, 0x8c8196c8, 0x0c2c6655, 0x1ec0b74a, 0x9d598328, 0xa94a03b3, 0xf6145cd3,
+    0x9e3e3b24, 0x977a6054, 0x865c3147, 0x3d5f618b, 0xc1245e97, 0x3b2dcae4, 0x941483aa, 0x65da786d,
+    0x030be4ce, 0x3bcc5d9b, 0xbb56a68c, 0xb96b0f03, 0xfa7d0492, 0x5ebebf76, 0x912094d6, 0x60e75a81,
+    0x0db650f8, 0x1dddb763, 0xa99d2c3d, 0xecfd5110, 0x87875f85, 0xb0856170, 0x76cfc872, 0xf3e8f18e,
+    0xb77e2303, 0xf05ca0b7, 0xd5e4fa24, 0x627b1be6, 0x7d0fc85b, 0xc2bc1f47, 0xbadc2e9f, 0x97903042,
+    0x6898d8c6, 0x92029ee2, 0x1b077af5, 0xa6ac7d1a, 0x6b38b0fe, 0xd1885d46, 0xd75c6401, 0xfc79a81d,
+    0xd04f1b57, 0xd2b849a6, 0xf4175e35, 0x32a01632, 0xca0eea59, 0xc3faae8d, 0xe2ab134d, 0xd17c9f0c,
+    0x6e40e442, 0x8603371a, 0x2d305b68, 0xaaba32e2, 0x09074249, 0x4b6f49ee, 0x2e866285, 0x1b4ca36c,
+    0x04d692ae, 0x6c10571d, 0x084c4b96, 0x8342cb10, 0x130a8d86, 0x6125a457, 0x15a993b2, 0xb76a3865,
+    0x53b73a92, 0xb9c9aaac, 0x308c9542, 0xf6d1fd4f, 0x59141533, 0x4e4a0023, 0xb7742c79, 0x91185998,
+    0x0579ef82, 0xc9951fd2, 0x993cdab9, 0x26784501, 0x3d674ec5, 0x3e577de0, 0x47d59e86, 0x46f1b27a,
+    0xc29507e1, 0x8079dbe7, 0x3d56ff14, 0xcbbe1638, 0x99a492ea, 0x16690080, 0x4d02c6cc, 0x19c4a64a,
+    0x18aa09d0, 0x1305e845, 0xc24e795a, 0xf4d831a8, 0xbfd8b7c7, 0xf246f87d, 0x59b89183, 0x36acd20e,
+    0xc72b6d90, 0xb8500db7, 0x5e87d4e6, 0xd886dc00, 0x0da5afcb, 0x0b8c7bb9, 0x94c9a039, 0x7e79a14a,
+    0x0d357734, 0x0d07bb3c, 0xa915354c, 0xa95d886e, 0xa7fb6e00, 0x8e7f0a5e, 0xbad6ebcd, 0xdee3080f,
+    0xe0a702a7, 0x6bf12c6f, 0x193fc125, 0x289eabd8, 0x6bf1cd00, 0x23c6ebc5, 0xb2bca6d1, 0x73d87c47,
+    0x8008b42c, 0x973b020f, 0xa6b55a83, 0x9932e509, 0x350a9f79, 0x0746928a, 0xc90c79e9, 0xe57e5882,
+    0xf5ffd12c, 0x75fd9856, 0xb80df33c, 0x16812830, 0x82013b5f, 0x03a4d8f6, 0xb3bd37d0, 0x6b2e1a4d,
+    0xcd08bd12, 0x79cceae5, 0xd8fb5a55, 0xb0e6e684, 0x6f8cf115, 0xf3c153e7, 0xa7e5f79d, 0xf89a28cd,
+    0x597cdc8f, 0x431fd69c, 0xf0575c0a, 0xcb5942c0, 0x3529c688, 0x6d4540f2, 0x9162434f, 0x4545278c,
+    0x2d70f16a, 0xf660a04a, 0x95283a74, 0xc696baf6, 0x60fc522b, 0x63fa5d96, 0xe8f3bd78, 0x4a4abc41,
+    0x1cee74de, 0xb50046ff, 0x44fb8daa, 0x0cf58055, 0x4b48eddf, 0x7f4fa222, 0x5fade462, 0x7072994d,
+    0x1380fcad, 0x7084b88a, 0x7f074b8b, 0x6b4d61f5, 0xa0379e27, 0xb809320c, 0x3317aae6, 0xf5ba35f6,
+    0x0eb49f7b, 0x31709d3f, 0x87c7f518, 0xd0b4cbfe, 0x6f64a821, 0x678ad8f5, 0x7b11431b, 0x6995f7d8,
+    0x09af85e8, 0xb9960902, 0x8f5fdde5, 0x10d15ac7, 0xe753600c, 0x624f6e31, 0x313aa22f, 0xc74a7ba9,
+    0x32cabd7a, 0xffab591a, 0x3dee3318, 0x56351887, 0x9c1c9b09, 0x46ed71fa, 0xcaf99b24, 0xff656dc7,
+    0x9dd15e8b, 0x489d6dfb, 0xd131f8e1, 0x3547e990, 0x83ea80f8, 0xbd658dd5, 0xaa4bc43a, 0x55e04a65,
+    0x1fd1be11, 0x1994c90a, 0xbeb947ab, 0xdcd98bcd, 0xab5a0fca, 0x2b5582ed, 0x3a932f84, 0xf98e7d54,
+    0x3ce64790, 0xf37e3635, 0xc5074620, 0x1f1b65f5, 0x4335bfcb, 0x139103b0, 0xa8590942, 0xf4ec71d7,
+    0xc0d82b3f, 0xfe9aed6a, 0x7fd393e4, 0x60dc4dfb, 0x85dd659f, 0x8a818796, 0xe9c8ea30, 0x4cfde9f6,
+    0x8e7808a4, 0x51b747f1, 0x3baca855, 0x39c1582b, 0x4359109e, 0x82eb0105, 0x7c3fe0bf, 0xa999ab65,
+    0xf5dd481f, 0x7ad6f69d, 0xf0e56ebe, 0x43e3e7b1, 0x808b5a8a, 0x3a8fb178, 0x2208212d, 0xbf8b692d,
+    0x8aaacf5a, 0xb98e814b, 0x8e9d5d61, 0x01731d03, 0x03b5b6df, 0x5f8e6c0c, 0xfd2ac7e4, 0xbfe647f8,
+    0x6c904ac6, 0x86a6a283, 0xd24308ec, 0x4456b263, 0x58dff61b, 0x724ed32e, 0xa291dc00, 0x96a12777,
+    0x32b89c89, 0x7b3666f9, 0x3a13d4a6, 0x945c06f5, 0x3c760fa3, 0x8ea2530f, 0x83292c0e, 0x0d96eaf2,
+    0x0589f313, 0x68f5a78c, 0xcb35a7c9, 0xe3d799e2, 0x08e706ec, 0x60ac83fa, 0x0b5205c8, 0x15fbc4ce,
+    0xcd204e41, 0xa385f07c, 0x6c5284ab, 0xd388ac1c, 0x3a079554, 0x333500a6, 0xc46fd28b, 0xd3b83972,
+    0xbb7a19d2, 0x9d160c80, 0x37a67db6, 0x7127ccf6, 0x2cfaa8a1, 0xa2cdd1ad, 0xf33374dc, 0x1f3166aa,
+    0x1e36ac84, 0x59b8a6fd, 0xa035dfae, 0xdcede1b8, 0xadb0a154, 0x86010ac1, 0x660fc75d, 0x297afac7,
+    0x60a7e4b1, 0xc2bd884a, 0xb74d3b58, 0x9d6b7808, 0xbcf00e0f, 0x749a5b60, 0x3aa35c97, 0x46a7ab2c,
+    0x4ed5d6cb, 0x21c22671, 0xa244418b, 0x992d9fd7, 0x6b7e5e6e, 0xe9bf0b24, 0x7d1ef0c8, 0xc37e8f2e,
+    0xdfdbc5d4, 0x70c8bcba, 0xea73e41e, 0x5807e713, 0x30504729, 0x7bc9f080, 0xfb7e9046, 0x3d44995c,
+    0x9c26d696, 0x58c2b2fc, 0x8b71e25f, 0x5846ecd9, 0x0aaad051, 0x602410f8, 0xf92eafcd, 0xdbf87181,
+    0xd0cbe1d9, 0x715f36ec, 0xb3195c71, 0x30297491, 0x11483369, 0x7e7cd8c6, 0x65620417, 0x05ac6a67,
+    0x8769bcb2, 0x28c93f50, 0x232f3385, 0x7cf0b758, 0xdc2d6970, 0x49dbc84a, 0x3c1047be, 0x14ccf8c4,
+    0xe0d4b644, 0xc52734fe, 0xb0ca533a, 0x89f63a12, 0xa26ceb08, 0x97cf085e, 0x8b5d2951, 0xd57c28e1,
+    0xee4f3573, 0x8bc8784b, 0x2544eb0e, 0xc006013d, 0xaf20370c, 0x450beb74, 0xf137e33e, 0xe6385b31,
+    0xd3b112be, 0xd8fb6ced, 0xde1da77b, 0x3c8e8f49, 0x43c7ee90, 0x5c890798, 0x80975fb6, 0x7f4f3edc,
+    0xa62856fd, 0x3458f2ef, 0x3fee23bb, 0xb2f1dd36, 0x580e6532, 0xa536bc1c, 0xf4899f30, 0xbb6e825c,
+    0xb610c4ef, 0x1876fb53, 0x4db74d54, 0xc3e0e502, 0x9b20cef7, 0x786cf5ad, 0x022bd81c, 0x8ab40eec,
+    0x914d36bc, 0x0add02f0, 0x47b3812b, 0xb9d22d75, 0x0e962bf2, 0x8c9fa356, 0x6ec82654, 0x0e902eb3,
+    0x2da5ba75, 0x36864e69, 0x8f8e833c, 0xf0611d4a, 0xa73e67f4, 0x46f287be, 0x72b01857, 0x8367e4eb,
+    0x2e793320, 0x5a9d01d1, 0x2d8c7bad, 0x7afaa2fe, 0x62274af8, 0x09b484e9, 0x4dd86293, 0x2d22c686,
+    0xce287799, 0x496bdbcb, 0x1891b903, 0x7a237ba7, 0x8f5823ff, 0xaa61737a, 0xa12bca0a, 0xd6ab4c7d,
+    0xb33e0b0c, 0xfce714c3, 0x2441b8e2, 0x85757623, 0x0210ca83, 0x41b9cf84, 0x1ab2957a, 0x4d4d3ddd,
+    0x0521d4cd, 0x05240a89, 0xbd1bb175, 0x8f08e4c0, 0x279a38b5, 0xc9e395b5, 0x41ca59de, 0x33725c10,
+    0x62e66027, 0x10ee06f0, 0xdc5692f3, 0xe902f8cd, 0xf1f9449d, 0x00efef3d, 0xf6de23dd, 0xf77d617c,
+    0xc522d0fe, 0x39a8c764, 0x09131cb9, 0x124aa693, 0x6c136696, 0xfe12667a, 0x14818036, 0xff84d527,
+    0x7a616af2, 0x61d6e41b, 0xd5aa2848, 0x9752a070, 0x077d0e8a, 0x34896a89, 0xb1dbe3ba, 0xe80a560e,
+    0xaaf258d5, 0xaad5e9e9, 0xb232016c, 0x99567494, 0xc37c65c7, 0x4417cb7c, 0x3dd3378a, 0x83681b70,
+    0xb4c0ebc3, 0x66e16bb1, 0x0f0e0822, 0x7e70558a, 0x145f58b0, 0xec175359, 0x68f74be4, 0x53a13d3e,
+    0x811e5ae1, 0x252a596c, 0x64ba7a85, 0xd69d1041, 0x6c0572a5, 0xc2f951aa, 0x9e6eb1a6, 0xbcb18215,
+    0x4bfb0e3e, 0x9a170a4b, 0xadac8e11, 0x5f8743db, 0x2c7e273c, 0x3a17dc29, 0x93ec8d90, 0x2504f7a4,
+    0x9c5d0ffd, 0xb9d1c216, 0x834c5615, 0x81143252, 0x1d338898, 0x7ea70e17, 0x1163069e, 0x9e09b4cb,
+    0x9e81868c, 0x8333ca03, 0xe2e685f8, 0xab044697, 0x4151d081, 0x9bfff834, 0x38d9e93a, 0x883c3e7b,
+    0x00000000,
+    0x8588ab82, 0x8be66bc0, 0xfdf461e9, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024,
+    0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000083436993590660550\
+                          09355553539724812947666814540455674882605631280555545803830627148527195652096 */
+  { 0x00000000,
+    0xb24c13a4, 0xfaaee151, 0x15a59678, 0x38c7ace6, 0x556de205, 0x43f5f1b4, 0x87b5fb70, 0x922d76b3,
+    0x11af6aec, 0x88be0197, 0x42d49c49, 0xd9f33d74, 0x96876c38, 0xd804243e, 0x0fe33ad3, 0x26f73dbf,
+    0xa7eb95f4, 0x57515fd1, 0xefacc8f7, 0xf9da4a93, 0xd9865f7f, 0x532574de, 0x17acbade, 0xf4ed5d35,
+    0x06500edb, 0x3da5f784, 0x3bce01c6, 0x626b02f5, 0x328b823b, 0xd803006d, 0xfb2a5f29, 0xed0059d3,
+    0x15a836fa, 0xe9b64990, 0x43645c92, 0xc0c5c952, 0xe2c23f02, 0x5bf2305b, 0x86d8d897, 0x106b6186,
+    0xa246d4f2, 0xf9dc5de7, 0x8183d99a, 0x8e7a0b5e, 0x2db141e2, 0xc7b17ece, 0x3947333f, 0x97d03f61,
+    0xc23ebdfe, 0x7ee78e3f, 0x62a9c315, 0x324c970c, 0x2409613a, 0xac5ba93d, 0xccea3b22, 0x5a7af19b,
+    0xc57b41b7, 0x73172c71, 0x40787592, 0x0dd1e73a, 0x5587202b, 0x1bc39e57, 0x361456dd, 0x3fddc849,
+    0x63531b77, 0x32a5903a, 0x5841dfb7, 0x39a638c3, 0xc753b201, 0x086ae8a8, 0x315f6fcd, 0x4d6a70b3,
+    0xb7a2fd37, 0xf2444669, 0xe048e974, 0x69a73dc6, 0x08ce1e8e, 0x911d63ad, 0xee9b9200, 0x5143875a,
+    0x3525e352, 0x0237c319, 0x5494e6c1, 0x9b237498, 0xd975ac88, 0x2d28ba2e, 0xa2eb9ad5, 0x7881096f,
+    0xe759024c, 0x8e7a7dcc, 0xc9636280, 0x31adf354, 0xc021d6ed, 0x6b51b701, 0x4a7f0e3a, 0xc1f0e943,
+    0xbd1862e1, 0xe273d783, 0x97e3dfc7, 0x0aefe04b, 0xe1d9747a, 0xf9bdd12e, 0x93b0073b, 0xbab922db,
+    0x00004427, 0x196909d4, 0xe17bce06, 0x4b14805a, 0x9a44d6d4, 0xbade8c5a, 0x5f08f9db, 0xb98c30bc,
+    0x00e4edf5, 0x54c9ae29, 0xf5398bc3, 0xd40b2adc, 0x1f4e49c3, 0x8740d869, 0x3c7cd056, 0x4fe00757,
+    0x3f46ee11, 0x98d35560, 0x0d4564aa, 0x3e881c70, 0x6328ed1a, 0x49aa0c89, 0x836ed0bb, 0x827c921e,
+    0x3df4daf3, 0x6cd25f6f, 0xc5ef1e07, 0xd3e15814, 0xb580ddf2, 0xf44b57fa, 0xcf1aea7e, 0x45396aee,
+    0x3633ed19, 0xb5327f82, 0xa1fb83a0, 0x76aed44e, 0xe58bcfa4, 0xb089a6b7, 0xcaf4ae8f, 0xa99e0587,
+    0x2e480219, 0x806b14dc, 0xc695a241, 0x3480efc3, 0xc5090805, 0x503f6e98, 0x6b8466cd, 0xca50cdff,
+    0x5edd9d84, 0xe8dc2d64, 0x8bed912d, 0x15b67ff7, 0x5053846f, 0x606882b5, 0x21ef8009, 0x2bb81d5b,
+    0x5e091e56, 0x96cb08c0, 0x72a0a1ef, 0x5f3a3693, 0xa2162c09, 0x4be488c6, 0x66a2e71e, 0x6e8171e8,
+    0xa18b7377, 0xfd88c18f, 0x7b4de3c1, 0x7236fd6d, 0x38071488, 0xc01f9631, 0x8f7b885c, 0xebdc5db5,
+    0x92523f8f, 0x9e2d65d3, 0xcb4d3299, 0x2419df20, 0x7b75f3e1, 0x2139b12c, 0x4690e1fa, 0x8129a515,
+    0xd0fbda96, 0x583520ce, 0xd3b9fe73, 0x31298c89, 0x558e442d, 0xd9f0a7ff, 0x24aad2d2, 0xcb4c3476,
+    0x35da0f11, 0xdb1c2e29, 0xf90e6e9f, 0xc148254f, 0xd9e9d54f, 0x5b1527ec, 0x9656e215, 0xa78fb4cb,
+    0xa13a4450, 0x06681542, 0x9e416d09, 0xecc6eee7, 0x3e54e5c7, 0xdda2ea6c, 0xc7afbe3f, 0x0e89a7fc,
+    0xbb9156f7, 0x35067bea, 0x4b19b162, 0x23b2f783, 0x64591eff, 0xe2e8fcdc, 0x0688cce2, 0x521f4e84,
+    0x3ae62553, 0x77730d12, 0x972f0a2e, 0xc85cf0ca, 0xc167ecfc, 0xe7ca96c2, 0x5335e26c, 0x8c028d89,
+    0x07e2efe8, 0x1ec6d4c0, 0x2f443cb9, 0xffa98778, 0x1ce2d1c8, 0x9c5d373b, 0x39e737d7, 0x6ea0197c,
+    0x36efeab2, 0xd73c8ddf, 0xcf3aa6c4, 0xd1680dbb, 0x02b91f13, 0x2a1e135b, 0x76351af0, 0xa7e3c6c4,
+    0x21c07931, 0xb82a0bd7, 0xce26e4cc, 0x300d75d9, 0xd1f0a694, 0xb5fb964e, 0x8fd6fa47, 0x815644fb,
+    0x667b78ae, 0xaa0414e8, 0x44fe996a, 0xfe10f349, 0x881a70b7, 0xa5d69f24, 0x17847f19, 0x7fad5849,
+    0xd4789341, 0xc059b459, 0xcb5bfb54, 0x5294fd28, 0x95ab7e38, 0x58e60b1f, 0x6f9c86a1, 0xde1888e3,
+    0x6d0fc26a, 0x693a298f, 0x9c3f5ada, 0xd4ebfc1c, 0x6c9409e5, 0xd60c6403, 0xd6933577, 0xe40f099b,
+    0x43184ac7, 0x8b2c7c4f, 0x308a775a, 0x0b751fe2, 0xff92b82a, 0xd0305bd5, 0x64d76531, 0x35e6caa1,
+    0x3c8efd8c, 0x8ce6d762, 0x8d3f62b7, 0x9b2a3bc9, 0x4bf1c21f, 0x749bb1b3, 0xf240a527, 0x76341043,
+    0x6c555777, 0x6694b94c, 0xd0e7f628, 0x1bcb667f, 0xfbaf1348, 0x2cd5c4fa, 0x273ec8af, 0xc3a25290,
+    0xc1f1efc0, 0x0eca9a03, 0xd21730b2, 0xe9c53074, 0x98c640a0, 0x9ad04de9, 0x6d528f26, 0x6ed0d311,
+    0x38abb028, 0xc400d2a2, 0x0ef7378b, 0x9edc22b9, 0x8a3e630d, 0xf93d3a79, 0xb57290e5, 0x4f2899b0,
+    0xfd9913a7, 0x7d499fa8, 0xfd2f4622, 0xcf724613, 0x10dc18c2, 0xd5407ec1, 0x11e15464, 0x27e51c6c,
+    0x657ada5c, 0x1345c58b, 0x5189ab80, 0xe3899d2b, 0x75fcf13e, 0x4e3d3007, 0x68b08b84, 0x769e2b22,
+    0xa322c8ec, 0x4ab3e09a, 0x68a87e48, 0x23d34c01, 0xde79e876, 0x816c075a, 0x20032e82, 0x4e03fab1,
+    0x3dcd45d7, 0x5f451c64, 0x5fa4d295, 0x00912768, 0x5adb4819, 0x2d4fabe8, 0xb9348679, 0x1e8d094d,
+    0x7496a82f, 0xb9313774, 0x41cc56c5, 0x84f6bb29, 0x36a5f380, 0xe09c15fa, 0x8e31f134, 0xeab071bd,
+    0xbb1ec2c4, 0x55f433bc, 0xa72971a4, 0xd77e16c5, 0x212c66d4, 0x54b36609, 0x313ab65c, 0x39a9e8c4,
+    0x14653ff9, 0x69b32c08, 0x9f849fa8, 0x90f0f780, 0xdc0a693e, 0x17ec25ef, 0x9dee86d3, 0x602481a4,
+    0x3b2f125c, 0xc47515e3, 0x97730bc9, 0x7ea98a2b, 0x189cd2f0, 0x37c78bba, 0xb26d6cfe, 0x336c1cf1,
+    0x7ce09982, 0xc4e0d859, 0x24edcaee, 0x307bf31d, 0x7e6a447e, 0xc0b5098c, 0xf047fdf6, 0x8a953bcc,
+    0x113a1937, 0x012cdd8a, 0x231ee669, 0xfe7e1d71, 0xff589ca4, 0x9d3926ef, 0xbe655766, 0x84fd0b58,
+    0x5565ce56, 0xab0bf396, 0x72dfa8fd, 0xc4e5196a, 0x5cd1d7e2, 0x2dcdcc0c, 0x2c24c9ae, 0x3cfd9e86,
+    0xa14ac82a, 0xd680f7c5, 0x61ed556b, 0x60445b4f, 0xdca4ba46, 0xe53c88a3, 0xd60f3c21, 0x3bf4bd86,
+    0x582f0898, 0x85ac7972, 0x0ec64fba, 0x492d5cc7, 0xce9195e1, 0x9cdd38ab, 0xf9ba1f13, 0xf4d39352,
+    0xd23efa10, 0xc536d571, 0x30ce9654, 0x721b4a9e, 0xc5431431, 0xf35051bb, 0xe5e93014, 0x1f0dba5e,
+    0xf54fc122, 0x927edc09, 0xec528186, 0xbd097997, 0xb5c255ed, 0xe93a88ee, 0xdb402e3b, 0x527d6c4d,
+    0x3afd7296, 0x83c7934f, 0x81f55304, 0x516b80db, 0x73b1e9b1, 0xe8d9f482, 0x66f9a426, 0x338fc846,
+    0x91bdd0b4, 0x908d7237, 0xa1e90906, 0xb44feaeb, 0x0cb8b371, 0xa9c2e910, 0xc7591a2e, 0xb505144a,
+    0x5571c97a, 0x8964fe6e, 0xdadc4401, 0xe7d38ef0, 0xcade1d44, 0x3fc37e58, 0x45f5a443, 0xaf7a72ea,
+    0x2271c79a, 0x8d810299, 0xf7a33963, 0x1d031a14, 0x3b488f24, 0xf968442a, 0x19851bd1, 0xb47415a5,
+    0x3bde5809, 0xb67c7c88, 0x34ce4b94, 0x1986cd56, 0x7b67d1e5, 0x9869435a, 0xf8eb0972, 0x1ee3771a,
+    0x7dfd8571, 0x801f574d, 0x45b24676, 0x0381f731, 0xc5ffba2f, 0x914b3632, 0x39f5b539, 0xde0fabca,
+    0xa41c908a, 0x494e6a98, 0x9113c188, 0xae7e9115, 0x4dae5a94, 0x43e7b4d4, 0x97ca6d93, 0xf69dfca6,
+    0xc740c813, 0x0aa5cb66, 0xc92f3918, 0x58ea2484, 0x5146af10, 0xa25c76e1, 0xc2d868f9, 0xee1299df,
+    0xf00232e3, 0x6d923c56, 0xa95f1f1d, 0x2809fec9, 0xc4d8db75, 0xe25256e3, 0x750a4f30, 0xe3dcc595,
+    0x7856fa4d, 0x972a71b7, 0x374b12c1, 0x6f60b7ac, 0xdf0cde99, 0x201d862a, 0xb1271c24, 0x605228dc,
+    0xdce4a80d, 0xf97f3d22, 0xf805bb23, 0xffef5a3e, 0x768befb1, 0x5180a6a4, 0x2094e681, 0x991899c6,
+    0xf773b4d0, 0x367d9abc, 0x0b649334, 0x9ce32f95, 0xa4c8021a, 0x71e9a442, 0x4c3a1891, 0x49e9db67,
+    0xed8b8f31, 0xc7bac062, 0x3cc0f888, 0x8f2a4fd2, 0x50248466, 0x20a836d6, 0xb9776cc0, 0x1fe1726a,
+    0x49fc4063, 0x7e1ab616, 0x5d871c91, 0x51007ac0, 0x3de65d2a, 0xc98714af, 0x2c7c7e1e, 0xd9265d92,
+    0xee052010, 0x871efdad, 0xfa65a76b, 0xe651f0f1, 0x39db653b, 0xab95d264, 0x1ffeb805, 0x86463bc0,
+    0x0edb6e87, 0x9fafc32a, 0x6a75fe50, 0x53533a94, 0xcfb8cd74, 0xffb67bc1, 0x497dfcea, 0x7c222883,
+    0x1504f4d7, 0xe617b64a, 0xeb861536, 0x4a4d0b4d, 0x80547038, 0x2c2a0fcc, 0xbf8b8944, 0x3fe72727,
+    0x45766ac6, 0xbee2bf01, 0xadcffa4b, 0xcbb17479, 0x7aa2f3a1, 0x16563a05, 0x9cebdd52, 0x2190a3f5,
+    0x6c863b54, 0x35dcb900, 0x6b14cf38, 0x07d617f4, 0xaa14571e, 0x03eed619, 0xa2d949d8, 0x57eb8cb3,
+    0xf18defdb, 0xd069da18, 0x75b2ee73, 0xbc5850a9, 0x826ebce3, 0x47f487f0, 0x89112bd6, 0xd148a1a6,
+    0x8ce5e9f4, 0x77d824ea, 0x9b2a710b, 0xc517bdff, 0xa7d29c18, 0xd2020fdb, 0x4dd2c5e6, 0x04213a06,
+    0xe3668007, 0xcf3688aa, 0x2fef5155, 0x608877bc, 0xa3be7ab5, 0x900263f6, 0x46b59a65, 0xacb4acd8,
+    0x232e4d43, 0x37d5e4b3, 0xeb8807c8, 0x3d009d45, 0x06725fd9, 0x129ae5e5, 0x9403cdd8, 0x455d166b,
+    0xc9789d22, 0x007c4b8b, 0x19f6ff59, 0xede4cbe6, 0x821e4b62, 0x85fee87d, 0xad277052, 0x08ae0947,
+    0x47b328c9, 0xfb30d168, 0xc16f98c6, 0x9c752ed9, 0x8723dd06, 0xad80e927, 0x384a962f, 0xa9c8f139,
+    0x4a2ff857, 0x3be32919, 0x977eabad, 0xe61bb8d1, 0x05ea329f, 0x8f822807, 0x333011d1, 0x3db17667,
+    0xd541085e, 0xa5041e61, 0xde35a535, 0xd8ca5c3d, 0xf41026da, 0xd908e42b, 0x8dc21e62, 0x4e81528a,
+    0xc2576e1a, 0xd4406f02, 0x090c3686, 0x552ab718, 0xda552cac, 0x2755687a, 0x8a895ac7, 0xdaf3e902,
+    0x703aa905, 0xdf43cbaa, 0xfb2d8b6b, 0xc01cf08f, 0x10c8e294, 0x9ad811b4, 0xcbd9c14d, 0x2242cce7,
+    0x2b19e2fd, 0xc9cdeff8, 0xc370dbc3, 0x388c2060, 0x9e545ce8, 0x33bedc1c, 0x65c26f54, 0x745e6e3e,
+    0xdcd89bc3, 0xe62feba5, 0x125ea474, 0xb96d81a4, 0xebd5d73d, 0xccafbf6a, 0x9e35776e, 0x027cd99e,
+    0x94c6f06e, 0xb010ca9f, 0x6945702f, 0x637b1635, 0x90529eca, 0xb4afa9ac, 0xe8da5ad6, 0x0f51e23d,
+    0x4a9adbc0, 0xe2933820, 0x1a8ad658, 0xef8a77c6, 0x6e624207, 0x31aed792, 0xe54b0d83, 0x54db4c2c,
+    0x97e71631, 0x4c63ae91, 0x0483178d, 0x3c7ac583, 0x007ff1ce, 0xe69edea8, 0xdab11a15, 0xc9bfceae,
+    0xd0fd158f, 0x40e69af0, 0xbf2d25f6, 0xf66297c2, 0x37a767b4, 0x01cc288b, 0xf05c9a3d, 0xca8dde44,
+    0xe6ca0ff8, 0x4f05dd49, 0xd9db234c, 0xf8d76b9f, 0xd0784fcf, 0xbbca07d1, 0x2aae9982, 0x51e2e6ed,
+    0xacd079af, 0x9d7e2133, 0x8ec8d656, 0xd916847d, 0x0b88062d, 0x5d4fed74, 0x6669413a, 0xb9879700,
+    0x7b578df3, 0xbbadda13, 0x086cc5f9, 0xc00ac4cc, 0xd826a7a0, 0x92539812, 0x109cae96, 0x1108d503,
+    0x0ac7f578, 0x56491a15, 0x1481db9f, 0xdcffe982, 0x32173958, 0x4195c2db, 0xde0acd1a, 0xee7e6740,
+    0x81197847, 0x820d9613, 0xf139b626, 0x872339d2, 0xa3fe47c1, 0xdb70a324, 0xb86b93f8, 0xeda5a3b6,
+    0xff27d7c3, 0x825886f7, 0xc1e00346, 0x361ccdb3, 0x0634128c, 0x70156e1a, 0xf907c2a4, 0xb20a2004,
+    0xe4a2642a, 0x8d16453b, 0xc9371928, 0xedee43bc, 0x76960bab, 0xd90906b8, 0x1ee02411, 0xccc3d173,
+    0x4d153039, 0x4fb22266, 0x0ef3d728, 0xcbd1be37, 0x3d955d0f, 0x16f998ed, 0xf605133c, 0x9a64c82f,
+    0x4ea592d4, 0xda185658, 0x45976ea7, 0x12bf944b, 0x5a8b8bae, 0xeaa8b17f, 0x2afc5520, 0x78371752,
+    0x4c9f3507, 0x651437a7, 0xad0a5a68, 0x364ce150, 0x25360256, 0xaa759b8a, 0xf36faf77, 0x657975fe,
+    0x5ceaec1a, 0x2c365e2b, 0xb6a29faa, 0x009f630c, 0xe5c20aca, 0xfa2140a4, 0x7cf0b7b8, 0xefb49c34,
+    0x3012efc6, 0x2836466f, 0xa37fb2fb, 0x8fd836df, 0x72f60300, 0xc16cf15e, 0x877091a2, 0xdc7f6423,
+    0x1a6e51e5, 0xa1f34fa2, 0xa6f2507c, 0x3c9cbb34, 0x7a5dcdc7, 0x106842aa, 0x6913ad45, 0x2f858fa4,
+    0x7b8d51b9, 0x1f19b093, 0x44fe3d55, 0xc15ae6f8, 0x8b7ff4ea, 0x54b6e999, 0xd9e59f29, 0x2d6a03b2,
+    0x93bae191, 0xadf61dea, 0xcb0e4578, 0x55a88ef0, 0x80d9eff9, 0x83a54a8e, 0xc777f95e, 0xcf47f9c0,
+    0x44e24fa8, 0x9219962a, 0xc0cb84d3, 0x5822a0ab, 0x557307bd, 0x9d30c3a6, 0xfd45ad22, 0xf2c828ed,
+    0x948c00c2, 0xad134922, 0x272dfab0, 0x51f7bccb, 0xd7638cbb, 0xe987b126, 0x1e396996, 0x05a788af,
+    0x71d85696, 0x2c8b7c80, 0xa3ea9e47, 0xe902b079, 0x0bd0cc70, 0xafebe148, 0x3218b263, 0x44f76942,
+    0x7f3fc1c4, 0xca870283, 0x432f0506, 0xa63bc808, 0x845b6806, 0x8dcf054b, 0xe306cb9c, 0xb90e951e,
+    0x86309b6b, 0xc8025c1b, 0x5ec433a4, 0xfe0b5b2c, 0xdb3c3d49, 0x977ea536, 0x315d7dc1, 0x8e3b1d7e,
+    0x72fb8332, 0xeed67f8a, 0x137cc959, 0x9f978d57, 0xb4cd0fe0, 0x13bf999b, 0xfaa8fa06, 0x31c6b4fc,
+    0x84575c60, 0x87f25790, 0x921d335b, 0xca682c4a, 0x76420ebd, 0x6dd43f21, 0xbf62d583, 0x36804464,
+    0x3eebd3a1, 0x3648fb9c, 0x83dc9fb4, 0xee7dcdd1, 0x9eb63ff9, 0x839a1d76, 0xb84052f4, 0x781bf914,
+    0xabb7bdeb, 0x1d1da026, 0x4d4e8d32, 0x047b6314, 0xb579d47d, 0xafca3d89, 0x6ea503f4, 0x67675376,
+    0x505da38a, 0x00085abe, 0x79c2601a, 0x48479c69, 0xae5dd319, 0x226aaf6d, 0xaaef11d9, 0x90533874,
+    0xc30b17ba, 0xeb177cfd, 0xae186187, 0xc9417a74, 0x57d3bc1a, 0xec6fc606, 0xb7b76c7c, 0x1afcff23,
+    0x4d9776c3, 0xb6d94c4b, 0x108865b6, 0xb2a0c141, 0xff2c6d0f, 0x3bf930bf, 0xe59ab35e, 0xd143368e,
+    0x5a46604a, 0xd409098a, 0x09bcfc4e, 0x7d28e7ae, 0x9393503e, 0x86e5e4ab, 0x38daea6d, 0x7fbc017b,
+    0x2d1f4772, 0x342f4c0d, 0xfcd94ad5, 0x984933ed, 0x8a20d707, 0xc9d82de6, 0x936ea7af, 0x748b57e0,
+    0xa3f5dc5f, 0x265fbed5, 0xcf6d58df, 0x17d1c593, 0xcc1f105f, 0x9ac6d6f8, 0x752ad8a4, 0x34b97e28,
+    0xc16b861a, 0x11a601a7, 0x32a329c6, 0x7984e1f7, 0xadce1860, 0xf7bb26f0, 0xb8133e9e, 0xb7d1c4c5,
+    0x137977ef, 0x45fc7b95, 0x99511162, 0xbf5c8035, 0xb1f37df8, 0x6891dde8, 0x3fe61149, 0x97e6d7ed,
+    0xd966679e, 0x57a3c53b, 0xcedfd5a5, 0xa4a9af87, 0x28e63aed, 0x353c3d28, 0x151c63fa, 0x2c2becf5,
+    0x78ae490c, 0x93cf76ed, 0xb8ee05e3, 0x41ed6aa2, 0xec351623, 0x4c5cb4a2, 0xabb0e58d, 0xfffbee8c,
+    0xcb1350e9, 0x84d3a1dd, 0xc48491db, 0xa1a14ca3, 0x05359b04, 0x43ef45f9, 0xe341f5e2, 0xf8bf036e,
+    0xe6dc49d5, 0x5fac74ea, 0x5772da0e, 0x9a83690b, 0x5fcc8318, 0xce95fe83, 0x4e6b09bc, 0xe2e4f354,
+    0x0cde4d79, 0xc22aae2c, 0x88147a12, 0x0adb086c, 0xd539944f, 0xe7f50fbb, 0x229a40ff, 0xbac07797,
+    0x00000000,
+    0x42c455c0, 0xc5f335e0, 0xfefa30f4, 0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812,
+    0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000041718496795330275\
+                          04677776769862406473833407270227837441302815640277772901915313574263597826048 */
+  { 0x00000000,
+    0x8d22ab4e, 0x16650a80, 0xabd9d7eb, 0x2ce22153, 0x9dc8dc9c, 0x4fd0167d, 0x614a08ab, 0x399cc3c6,
+    0xee36346b, 0xa31b2abf, 0x877572aa, 0xc2be56a7, 0x4bf19c23, 0x58d67c5e, 0x6442364a, 0xc29744d3,
+    0x44eab01a, 0xd6943653, 0x2c4415fb, 0xe38622b1, 0xb7f705fc, 0x69aa5677, 0x913186a1, 0xa0e9bd8d,
+    0x75efee7b, 0x87e1abf9, 0xf890640e, 0x82ba6e3c, 0x7850d07b, 0x6ad9b1d3, 0x5c8374c4, 0xc59efcf2,
+    0xed94b3d9, 0x5d5a7b83, 0x3a53fffa, 0x5209e533, 0x28d1621d, 0x1408595a, 0x80d385e3, 0xc0edef8b,
+    0x73ab32dc, 0xcdc78761, 0xb82b22e3, 0x7047781a, 0x3fb2f8a3, 0x9f3acaca, 0xaadf38a5, 0x2f627b6f,
+    0x0402630a, 0x7ac5592d, 0xb6492a44, 0x334e4c66, 0xe2e76ed9, 0x8d126036, 0x6eee58b5, 0x304950ef,
+    0xfa49e8e6, 0xa8f22170, 0x229328ff, 0x2eb2335e, 0xdf577d94, 0x35a2612a, 0xca37b03c, 0x87bd6d80,
+    0x8a44f69d, 0xbe880e9c, 0x6e3f7baa, 0x64366608, 0xae1d0e31, 0xf10e0ed3, 0xca514ac5, 0xa976eff3,
+    0x4ab93a38, 0xc13d4ff7, 0x7e68208e, 0x7f4c21b6, 0xccfba5ae, 0x8aa86558, 0xa6015907, 0xe3bde442,
+    0xcb3f3f9a, 0x53ee2cbb, 0x2a42a06e, 0x4a34d562, 0x298d2378, 0xa8ea63e2, 0xbfd77773, 0x6412ae6a,
+    0x6c3cd89a, 0x5203a4c2, 0x9dca5d62, 0x7813d7e8, 0x231e8446, 0xf345dee2, 0x652da369, 0x0d3b96fd,
+    0x7bd28c79, 0x8073f29b, 0xd22599c4, 0x95f21100, 0x2dbe4a4f, 0x97ecbbf4, 0x25c2fe01, 0xc4ef5755,
+    0x4798f6ab, 0x7804e86c, 0x987c99c9, 0xa4005601, 0xe8a5f705, 0x94847f3e, 0xa014e23b, 0x06ca42cb,
+    0xd77231e9, 0x3557bd19, 0x39ac314c, 0x555e42fb, 0x3a290d4b, 0xedb99ed7, 0xe1c81dda, 0x57c52685,
+    0x642a1469, 0xa829d404, 0x35b098d6, 0xf755fc96, 0x4b65065d, 0x43ee0768, 0x26106d43, 0xede3d214,
+    0xa8e2861c, 0x8a42231c, 0xfe178f75, 0x21a1d636, 0xef9eb6ad, 0x2e944f04, 0xe6b9dd91, 0xcd886618,
+    0xc1618029, 0x53ef347c, 0x1d53c1b9, 0x3ccfd97f, 0xfd679a33, 0x2eaa8161, 0xe4a2d2f8, 0x7732b64f,
+    0x3793282e, 0xbd591966, 0x2c009d42, 0xbf50c47a, 0x460871ea, 0xb1f48896, 0xb37e6a0d, 0x10bc3e31,
+    0x6f6880b1, 0xa6bef4de, 0x1f60afa4, 0xcf544716, 0xf13b754d, 0xc5faf360, 0x72a6c16e, 0x4ad234fd,
+    0x5065f080, 0xc18ce69c, 0x92af789d, 0xde8059a4, 0x13c5130b, 0x38ec6157, 0x70a0ec3e, 0x98074988,
+    0xff41f8af, 0x3774fdf1, 0x5d20985b, 0xbe61660a, 0x24cb12cb, 0x811628c6, 0x60be3c6f, 0xe0f73925,
+    0x85f5f21c, 0x6e4d0afa, 0xb746b900, 0x3afdbdc2, 0x595dae86, 0x9f87c572, 0xdb2bba5d, 0xc9df98e0,
+    0x6772229b, 0xfb619256, 0xa966338c, 0xa59953b6, 0xb00848b4, 0xacb8d824, 0x4064b1b5, 0xea80e20d,
+    0x63fdf9ef, 0xfbb8bc1c, 0xff23a464, 0x04ff61e3, 0x4118b52b, 0xba47815d, 0x50b7078f, 0x3f216520,
+    0x57a10c69, 0x4ad97c75, 0xf684c699, 0x2c85b3f4, 0xd4223a23, 0x339ccc8c, 0x0ebc8abf, 0xf7ec94f7,
+    0xa04a4832, 0xd2e6d5a2, 0x7917db6d, 0xe8aeec93, 0x04dfde50, 0x3cbd1634, 0x3788bc07, 0x5d585dbd,
+    0x283808b0, 0x148706a3, 0x65cf2264, 0x21009599, 0x01cbf2da, 0x56352bcb, 0xea2dcfe9, 0x5622f53a,
+    0xf6fa41d0, 0x73b06505, 0x6a8141a6, 0xb87bc822, 0xe91fd32d, 0x7e0baaba, 0x707553dd, 0xf40cb282,
+    0xf70cc1f8, 0x3ecc4571, 0x6b6ce7a1, 0xe1f950d0, 0x81ab174a, 0xc91ccf10, 0xeec3c1d5, 0x050a31bd,
+    0xf8929ce1, 0x0bf9d4f5, 0x874ac66f, 0x6d6b4426, 0x42a4bef4, 0x244a2ae4, 0x286f61c6, 0x8f62e207,
+    0x5a3cdeba, 0x91e4be96, 0xecffd7be, 0x31278c0d, 0xdfc9b9be, 0xc9061a1d, 0x5f33c4b4, 0xff1869e6,
+    0xfe293272, 0xec9e2571, 0xbe6b0e03, 0x007c8768, 0xa20ff0b8, 0xd519d7db, 0xb3bb6fcd, 0x9846f9b8,
+    0xb9a89b67, 0x70fb42b8, 0x38ce173d, 0xe2b93366, 0xa79298a8, 0x4d695602, 0x55eea794, 0x790937a7,
+    0x813a11a9, 0x396803ac, 0x05ea67de, 0x61cb9474, 0x13ce21f8, 0x0f93f93f, 0x2503c114, 0x50072656,
+    0xa921793f, 0xacdad160, 0xa7a7478a, 0xa15cc95f, 0xab4c45fc, 0x15b79d6d, 0x0668e98c, 0xa9318fd5,
+    0xbe0a2126, 0x6a886f36, 0x72d30254, 0xcb14ed7f, 0xbe4b1f0a, 0x9d651aa7, 0x0b6a89dc, 0x32bd0116,
+    0x18d667cc, 0xa3e33bd8, 0x9c3892fe, 0xcc3c2635, 0x3ba1f086, 0xd5e7830a, 0xe78a047b, 0xfa11ca91,
+    0xbe429ef1, 0xc3fbbca4, 0xf1b38548, 0x3553be51, 0x46bfc3f7, 0xe89f784d, 0xa42452bc, 0xd97142bf,
+    0xf06426fe, 0x76417c47, 0x7843e918, 0xfab4383c, 0xf2711a27, 0xb19372e4, 0xe2ff87f7, 0x51c04270,
+    0x68da7614, 0x058389c1, 0xbe279aeb, 0x8bb22247, 0xd4863580, 0xada4e99d, 0x117fef58, 0x0e357f75,
+    0x346c55f6, 0x6e1d0a70, 0x0903a3a9, 0x010e77b1, 0x22722e9f, 0xfe0259bc, 0x327087b9, 0xa606a0fe,
+    0x1074bfd3, 0x748f0503, 0x2c60acc7, 0xe670aa1f, 0x1516a5d3, 0x1239d6ce, 0xacf4abc9, 0xb19c8e12,
+    0x19195a4c, 0x30d2df86, 0x59b66e10, 0xd7519642, 0xb5640443, 0xdedb88c5, 0x143adde7, 0x928768ff,
+    0x6e57cfd4, 0x5af8831f, 0x74b9f67c, 0x481b2266, 0xc781a92c, 0xa4a105d8, 0x6323868d, 0xb138b229,
+    0xdbe9cda6, 0xcac0afd1, 0x344ec2a3, 0x52b261e3, 0xc1f16b52, 0x402f92e9, 0x7f6c4e34, 0x8f8a785c,
+    0x58840295, 0x609b7e50, 0x64852394, 0x447746ab, 0xd7848556, 0xf3bc9ecc, 0x3fa1439b, 0x30b0a19d,
+    0x4be996c9, 0x709b11bd, 0x8afec455, 0x5f5768d5, 0xc05d22a6, 0x8d762390, 0x9e1caed3, 0x51e2b3b8,
+    0x38fdd918, 0x0482a3f8, 0x382d6650, 0x0336e6af, 0xa3d1fcef, 0xadfde585, 0xeb742505, 0xe5e9931e,
+    0x949126b2, 0x4e4a511b, 0x68daf428, 0xaa65b9cb, 0x73e2c001, 0xb0352280, 0xda4f9420, 0x9f761ae5,
+    0x1e6f7eab, 0x1ae6646f, 0xcf598d5c, 0xb73ff85a, 0x0f6c4304, 0x9f763670, 0x6201f9d9, 0x94a8746f,
+    0xab98a5be, 0x27527ff1, 0x90586840, 0x74cdbdac, 0x8ed92ac4, 0xeaecbce9, 0x8b668fb3, 0x588bd243,
+    0x8a89c6f6, 0xf9057500, 0x611a11d8, 0x9a01fffb, 0x605bb60f, 0xa4583c6f, 0x26604bb3, 0x9f39ce4f,
+    0x895338bf, 0x2f91ebd4, 0xafb34875, 0x2e700b75, 0x1a794274, 0xc62c5823, 0x1993c54d, 0xcb953ede,
+    0xf444eaad, 0xf65b0660, 0x345c6feb, 0x97d24d07, 0x6b770b87, 0xfdfab262, 0x202aca85, 0xab74cc3c,
+    0xd4777574, 0x5fd5a26f, 0x43deca40, 0xc39a0cb1, 0x37e9e85b, 0x41e0a52e, 0xbe7653eb, 0x870bc13f,
+    0xb1e41f03, 0xec681923, 0xe61728ef, 0xdc8d0ef2, 0x4ade7e86, 0xdafebd4f, 0x9f294765, 0xf3a42569,
+    0xfaa49333, 0xec712ebf, 0xd0ca055e, 0xb8832ddf, 0x4d946f4f, 0x302adc57, 0xea634c49, 0x4fb572b9,
+    0x6f0f023d, 0x8bc90dd7, 0xda194d7e, 0x9b9b5b0f, 0xec58ba4f, 0x6775422d, 0xb3daae2d, 0x61e83f78,
+    0xefe2ba23, 0x7d4dd0ec, 0x375456e0, 0x54ceefab, 0x1d6e0bc9, 0x91f0df27, 0x73df810c, 0xccc2d1f9,
+    0xd917bc6b, 0x993daef7, 0x9558cec6, 0x8fdf2f76, 0x3c639868, 0x2639d005, 0x7ceff139, 0x3f3a6993,
+    0x8109e77d, 0x410d18ad, 0x6fb5bd4b, 0x76c19e6e, 0xbd0cb134, 0x2e58453c, 0x47070b51, 0x270f435b,
+    0xb6aa07df, 0xc0996a78, 0xf2466619, 0xdd64d952, 0x7c3db805, 0xec72acfc, 0x5597941b, 0xbb0c40a9,
+    0xe1f98f3c, 0xa5eef47d, 0x74424e9a, 0x55b99b71, 0xe0da857f, 0x9523ed73, 0x861c24cc, 0x9fc05907,
+    0xe99bc597, 0xc95a6896, 0x28696f24, 0x92f5ccf2, 0xb9950502, 0x6940e4ef, 0xba308a98, 0x41f7425d,
+    0x29e2e246, 0xed26faab, 0x05cbf210, 0xa09e59f6, 0x55d81552, 0xd493ea31, 0x60a19241, 0x8d299b2b,
+    0xe7832b45, 0x6e94b5ae, 0x1031cd34, 0x6fe09727, 0x412851f7, 0xf48bb440, 0xeb826ee7, 0x702ee5e5,
+    0xa180cd0d, 0xd382e5c3, 0xee6de0c3, 0xad86744d, 0x9d051b61, 0xebae204c, 0x6cb15d21, 0xd6c5f033,
+    0x8b0cf23d, 0x2e9ec0a2, 0x66356f3d, 0x246c6e03, 0x48553ac7, 0x73165d2e, 0x21906d4f, 0x394a18c6,
+    0xe765cb86, 0x5478e8a1, 0xec02165b, 0xd891b280, 0xca655aaa, 0xaaf7094b, 0x160aa381, 0xc49cf661,
+    0xe63cadf4, 0xf31a35e9, 0xc72b8de1, 0x17323826, 0xb5c753d2, 0x7d7eef18, 0x3a75fd3d, 0x08fd2f81,
+    0x2eefb403, 0x8fe4da47, 0xf06b0081, 0x5ce740bd, 0xc3a9c690, 0x0fbcec87, 0x915d1f04, 0x1d3ed0b6,
+    0x24e7d04b, 0x8a2fb476, 0xd959b33a, 0x006021c1, 0x61d08c5a, 0x369391f8, 0x09c75a67, 0xdd5dea9e,
+    0x06b38805, 0xd82df27c, 0x77472baf, 0xaeb7e7bb, 0x13ada997, 0x704d2ac6, 0x9706929f, 0x138ea9e3,
+    0x9a18b75f, 0x55a59677, 0x62c1b9c7, 0x37dcc18b, 0xfeaee994, 0x586655c6, 0x0af551b5, 0x893d810e,
+    0x4f4647c8, 0xd1c23646, 0x9c3b4498, 0x2bc7df12, 0x99617562, 0x93fa2fef, 0x153b9ea3, 0x5cfaa9c7,
+    0x06ab7de4, 0x831bddb3, 0xb754c43d, 0x10a22f6e, 0x978fa4b9, 0x3b33c743, 0x0f480d3d, 0xa8417604,
+    0x72c65bb3, 0x3be00de7, 0x23388c78, 0x3dc8d887, 0x5ec35664, 0x014597b7, 0x4376add7, 0x089e6cd8,
+    0x3af1d048, 0x5be35457, 0xbafaee48, 0x1f06af22, 0x961351dd, 0x7b26f627, 0x74ac647e, 0x91e97bf5,
+    0x45bb632f, 0x27154b47, 0x23f1d8b9, 0x5dc44dfd, 0x700b301f, 0x85bd46bf, 0x94376775, 0xed80fed2,
+    0xb60ac44f, 0x34303fc9, 0x786552b8, 0x6defd789, 0x04d0a2d3, 0xef586184, 0xe5a3064a, 0x2e22fe14,
+    0xebeb954b, 0xdc79c000, 0xd838b064, 0x3666df8b, 0x9cda0d88, 0xa93682fa, 0x9aad9ac4, 0x202f3e40,
+    0x4e47860e, 0x6f4ece2f, 0x14008951, 0x094986f2, 0xa6d41cf2, 0x07019b0d, 0x7880f114, 0xb180ee1a,
+    0x00f71fac, 0x2d77a9e9, 0x4c3e6f12, 0x7d70389f, 0x3f48be18, 0x1926fdf8, 0xebe62017, 0x584bdd99,
+    0x99fd9e02, 0x9efb3ccb, 0x0a555a34, 0xa08f1324, 0xbfa81969, 0x765de711, 0x2cddfa52, 0xba94d1b6,
+    0x920f66bf, 0x402e1d0c, 0x6159c31e, 0x4243be0d, 0xc0d47225, 0xb0eb43c2, 0x0d3fa078, 0xad348c19,
+    0x13f0956c, 0x33ce711c, 0xfdc913ee, 0x1bde8b7d, 0xdefbc621, 0x36374693, 0x91fb0865, 0x25834fc7,
+    0x0866b9de, 0x77d3658f, 0x34658553, 0xc86c4a9c, 0x06f83fc3, 0x203b5dbf, 0x0245bfc3, 0x5b687b12,
+    0x0734414f, 0x074700c3, 0xb241aea5, 0xebe3b34b, 0xf1fe0ba7, 0x4097d4b5, 0x1c5815e5, 0x81dfda0f,
+    0x6b5f0390, 0xa0ffc8f5, 0x8cee4a4a, 0xf4af7bac, 0xdbbded7d, 0x33a30af2, 0xa1e42d62, 0xa2a5bc1e,
+    0x5c092240, 0x113c29d4, 0xbe271a35, 0x577518b7, 0x4e510e89, 0x4dea158a, 0x15dc89d8, 0x90212376,
+    0x6fe0e882, 0xfa391f15, 0xdcae7a5f, 0xddc9353c, 0x3d03eac6, 0xddcb79b9, 0xbf3ef47e, 0x8c9160af,
+    0xbdc09d1b, 0xd4762a37, 0x94b0e14f, 0x329fd9a3, 0x0c1b1d63, 0x6e71be0b, 0x6da70a98, 0x4febc6b3,
+    0x002b1e63, 0xbf5ba103, 0x23d890a5, 0xe21b7811, 0x0c2dac61, 0xcae89469, 0xca714e37, 0xb6f9ae69,
+    0x53ee069c, 0xb9b7c409, 0x1b4b0071, 0xd1b81e29, 0xd6cde248, 0x775091a8, 0x4c547d12, 0xa0fc537f,
+    0x9d8772ea, 0x7bc1019e, 0xfa088ba1, 0xefec4097, 0x32e68624, 0xec77492c, 0x97ec3605, 0x935995c0,
+    0xcd89e038, 0x8164512e, 0x30b18d56, 0x17cd1fdd, 0xe026322a, 0x815b90d9, 0x911a76c2, 0x1e378d7f,
+    0xcd4bc51d, 0x4a74ed70, 0xfbef97cb, 0x099f5471, 0x3bfd43d2, 0xf4d80f27, 0x5ddc9a46, 0xe15af3fb,
+    0x976bddd8, 0xc45c9e13, 0x5fcfc730, 0xe5491bce, 0x1abe5d7f, 0x09d4c5e7, 0x7e692aff, 0x2ce7eaa8,
+    0x6972b531, 0xc091c66e, 0x913c946d, 0x2b1082c0, 0xc0e30a6f, 0xab2a81ce, 0x4ab35e32, 0x1ec9af3a,
+    0xa1a69bf9, 0xdde0fe03, 0xcd9ab45a, 0xc1fee503, 0xaf596f24, 0xddec7fe0, 0xab42ae72, 0x6dad121b,
+    0xb9921045, 0xa79f46b2, 0x9ab9d25c, 0x334e2ae5, 0x3b08aeb1, 0x7dcd9531, 0x803f425d, 0x41a7414c,
+    0xe925422e, 0x0bfcc94a, 0xa7af159d, 0xae431582, 0xa8a5d310, 0x4bb95147, 0xab3d75ef, 0x8d9dd37c,
+    0x7821d487, 0x20da9f48, 0x0b4fd0f7, 0x07ebaaca, 0x07c55432, 0x63dc050c, 0xbdbda4fd, 0x1560946a,
+    0xe36bf4cc, 0xb95580a7, 0xce484e88, 0x1a09b9c8, 0x9c53068a, 0x94a9e9d9, 0xe666ac55, 0xc3a16a95,
+    0x29decb14, 0xdb9566c0, 0x2a0750cd, 0xf702dc81, 0x728f5d50, 0x0f13000f, 0x3ac75b9c, 0xbaec1ab8,
+    0xc18b918a, 0x4f8643f1, 0xc9d66b25, 0xf15dc564, 0x80b6d0b8, 0x917ea024, 0xc7b35d40, 0xde08c2ec,
+    0xdc6dff89, 0x37da72b5, 0x8552b51d, 0x4c3f8e86, 0x2a80d4b9, 0x933cd48e, 0x5810849e, 0xfdc73ef9,
+    0xc5445c87, 0xb396ab44, 0x963b2783, 0x938c346e, 0x4d71dd97, 0xdd86f6bf, 0xf432c300, 0x3ff5e562,
+    0xb6c0909b, 0xd8f4b74b, 0xe44ee97c, 0x19634573, 0x75cbd561, 0x58cc69b1, 0xaf323641, 0xc4abc8de,
+    0xec774c4e, 0x9ff9fee1, 0xee99d6cb, 0x47167427, 0xfa123cd0, 0x2061250b, 0xb28b5927, 0x173cc071,
+    0x104cda9f, 0x2b380957, 0x1bcf9160, 0x648f55f5, 0x4cb7e3d7, 0x52144dc3, 0xa1acb6c1, 0x1a16a8b7,
+    0xfd8f10c9, 0x4f807d45, 0x02f5660c, 0x1206a890, 0x41a01abf, 0x5282e935, 0x9537ee59, 0xa813758f,
+    0x828f79c1, 0xc2570ec8, 0x8375372f, 0x8ac2c6d9, 0xd3b5601f, 0xd5354108, 0x63d3af45, 0xe5540baf,
+    0xbd370847, 0xbde3eb74, 0xe35801d0, 0xf29618d6, 0xe61e6bfd, 0xf1f80413, 0xcc0fab8c, 0x72b02a2e,
+    0x0364d88c, 0xbc42b409, 0x4119dfcc, 0x1d435b40, 0x981a0750, 0x25ed7ca5, 0xe0012c61, 0x38872b89,
+    0xf6e85c86, 0x9ef1a97e, 0xecd110e4, 0xb5d5b79a, 0x14be7428, 0x703ffa85, 0x7948e016, 0x622a88d1,
+    0x2b86b73e, 0xc712c50d, 0xf8aa6520, 0x50ae4573, 0x7a07066e, 0x95090c5c, 0x4ad708f2, 0x0e838719,
+    0x0c0e1587, 0x263a1d45, 0x1e7a459d, 0x10a6c296, 0xe72707f8, 0x22dc984d, 0xa4d772f5, 0xe239e49f,
+    0xee381dcb, 0x81bae03d, 0x71383f90, 0x4cf7d2ee, 0x1533c7e7, 0x85732de2, 0x7e3b3716, 0x3d058f64,
+    0xea2e4130, 0x799fc478, 0x6af7d811, 0xb45365ec, 0x9cfe3a82, 0xbd36a6e6, 0xa1839916, 0xec236d9d,
+    0x9d3936a9, 0x6ed68a8e, 0xfbcd6179, 0xb3c6830b, 0x8bc6d12a, 0x5a1f9f22, 0xf3e83f04, 0xea1ee5f9,
+    0xadae7e3a, 0x0536aa35, 0x6730775c, 0x95a99858, 0xe9621955, 0x694a6387, 0xb06a0c4f, 0xf8d0efd6,
+    0x5341c235, 0x6971bb8c, 0xac8645ac, 0x343bd800, 0x78ad9086, 0x53717f16, 0xea902960, 0x1232ccd8,
+    0x454b361f, 0x81ee7478, 0xca2a9c57, 0xcb608777, 0x199e2402, 0xb307a72d, 0x03ced22b, 0x0881acdf,
+    0x82cdb6ac, 0x63e4f3cb, 0x07629001, 0xb9fd1df9, 0xb0908326, 0x7282cfdd, 0x9b4fb99c, 0xdaa6c702,
+    0x00000000,
+    0x21622adf, 0x62f99af0, 0x7f7d187a, 0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409,
+    0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000020859248397665137\
+                          52338888384931203236916703635113918720651407820138886450957656787131798913024 */
+  { 0x00000000,
+    0x87c09412, 0x0190e0ef, 0x1c6a4443, 0x01de1682, 0x32b9d3a3, 0x0a81337f, 0x7fece9cd, 0xf7ff5162,
+    0x7d3895a0, 0x807b1f85, 0x504de040, 0x3901f487, 0x4b62e2da, 0xbf03575b, 0x439e419b, 0x1e546140,
+    0x4e90afea, 0x807b4555, 0xa20adf90, 0xaf9ca817, 0xe8ffddea, 0xec448865, 0x775aaf71, 0xb20b9815,
+    0xd4b0abc4, 0x2243f35f, 0x0f2a8946, 0x36a9c9ac, 0xe42166cf, 0x4bae4387, 0x23d0ef4e, 0xc22e7571,
+    0x9ed03941, 0x604016ff, 0xa1ca09e4, 0x7ef4e1b8, 0xc2cd6d64, 0xa5d14778, 0xe25f51ea, 0x0bcfe9c1,
+    0x680aa592, 0xaca0d110, 0x2f781594, 0xd7a46ff0, 0xbcde0d3d, 0x2bb5c499, 0x593b9866, 0x66c8becd,
+    0x2cdf2c46, 0x928d95eb, 0x6c0e540c, 0x274c338c, 0x9d5f5cc6, 0x3f39a39e, 0x2e4477f9, 0x828e8421,
+    0x266c6365, 0x76e86713, 0x9d0470d8, 0xa5522375, 0xa5682f40, 0x9a293c3a, 0x992525b5, 0x6485d29e,
+    0xf3bc453f, 0x9395bf21, 0x86311f52, 0x7430d4e8, 0xcc8b209e, 0x95303cc1, 0x23a9bdbf, 0x202025aa,
+    0x85474e74, 0x0a91b419, 0xe27f53db, 0x8d430914, 0x1a8ffd95, 0xd5303ef2, 0x15124082, 0x404e2b27,
+    0x378cecba, 0x10907749, 0x08a21b61, 0x7a5b9981, 0x0cab22da, 0x1560a2d6, 0x7b947930, 0x493cb4b0,
+    0xcc0d3113, 0x7b717d7b, 0x73053827, 0xd5cbbcae, 0x55b2bcf3, 0x670c37c5, 0xc0138e2d, 0xfcdd9409,
+    0x34a72072, 0x2de759cc, 0xf63f651a, 0x994cfa29, 0x1551d9da, 0x363df3e1, 0xa2daf10f, 0x2b1e8bf7,
+    0x487b9aab, 0x32dc7945, 0x87e3455d, 0xafd30255, 0xc48037e9, 0x6f014cb8, 0x18324269, 0x3576ada6,
+    0x47315dec, 0xe0f6ac2c, 0x777355cf, 0xf8f05184, 0xab57eb7f, 0x24dd3de0, 0x6a8bb543, 0xa2c1e544,
+    0xa0548c1a, 0x907a1bb5, 0xdd82c0b7, 0xb771c353, 0x5ab6dfe9, 0x146e398a, 0x1383119e, 0x646784e4,
+    0x1280edb6, 0x173699a4, 0x34794c8c, 0xf2c2f9a6, 0x2cbefd44, 0x46247b04, 0xee58877c, 0x159d7ea8,
+    0x32ff7cc4, 0x10e2f255, 0x999517cd, 0xad3716b1, 0x88f9cd1f, 0x3f82d7fb, 0xf76abd00, 0x9f8130a9,
+    0x9813a26a, 0xe91fee30, 0x5912b05a, 0x493bf68f, 0x3604d40e, 0x1619f89f, 0xe45063d0, 0x142613e4,
+    0x1143ad68, 0x2147ac59, 0xfed94bc9, 0xfd19294a, 0x7c328a2f, 0xc58f745e, 0x0ad2aba6, 0x7d7f7edf,
+    0x48a1cfe6, 0x8dff0fdb, 0xad4485fb, 0x0179cff1, 0x84d599bf, 0x1d8e97ec, 0xc1e1b25a, 0x6f18cf30,
+    0xeaa9a496, 0xfa7332e3, 0x7f7f0f2e, 0x12bd687c, 0x37a542f4, 0xad4e069c, 0xf4bfe108, 0x393d0709,
+    0x8d90f3f9, 0x1b753927, 0x1610bf89, 0x66de1eed, 0xe7d35b01, 0x3153b231, 0x254137f6, 0x87c93b87,
+    0xb9d29a1d, 0x346fa254, 0xe3c0f814, 0x68d779e0, 0x005fb448, 0x5b9943d2, 0xcf47ba37, 0x4f1786a6,
+    0xd279c769, 0x07983e26, 0x887313e3, 0xd681301a, 0xd4848643, 0x8d63db2e, 0x3a89fbce, 0x68792d79,
+    0xb9244174, 0x50f34eaf, 0xabdcd3de, 0x135a794a, 0xf706bf9b, 0x2cde72bd, 0xd2c7f775, 0x95f12754,
+    0xce076134, 0x3d52d2dc, 0x365b206d, 0x4d4ab8c8, 0x7077f151, 0x829f66ad, 0x5cb76d2c, 0x4d32b0f0,
+    0x04bd86bc, 0xa3782b92, 0x8314b4de, 0xff5cdb62, 0x3045b3f5, 0xe505702a, 0xf60c800c, 0xfdcbe589,
+    0x949d7eb9, 0x195575a4, 0x34785201, 0xbefc904c, 0x735bbc42, 0x164854d5, 0x9a6a85d2, 0xd7dffc08,
+    0x8394879b, 0xf41f897c, 0x247a49d7, 0xc10e8a28, 0x9a9529c3, 0x8292ffb8, 0xa94282cb, 0x4d62507f,
+    0x4a5677d1, 0xe089199d, 0x846e918b, 0x7ed5375c, 0x9f8340bd, 0x6fe2a36b, 0x38f7daf7, 0x53207165,
+    0x8bf08c55, 0x505e36e8, 0x1675c713, 0xeb453056, 0xdd6715f0, 0x3789f52a, 0xfcd0f2e0, 0xdc3bad1f,
+    0xcc71d0bd, 0x031fd7ce, 0x1c0eadab, 0x3beae289, 0xf06b82cd, 0xf98619f4, 0xa3a602e5, 0x376dcf25,
+    0x7accdc45, 0xa0d3f94b, 0x4e960da8, 0x818fec16, 0x043fe39a, 0x56b17b01, 0x31a4e163, 0xda14526d,
+    0x3d9fdbc1, 0x479deac8, 0x281f8b67, 0xb1f26887, 0x44bb04e3, 0x1babaeab, 0x29346c53, 0x3eee88f0,
+    0x4813a4b8, 0x97c9900b, 0x90d8efbc, 0x081048b8, 0x31bf1ad1, 0x0a4f6afe, 0x05a5a422, 0xe346ed63,
+    0x8880fdbc, 0x05d4339e, 0xdc6a2e78, 0x3e8c1f42, 0xdfabd748, 0xd26b7b62, 0xc0c7a222, 0x10f5e385,
+    0xc71ef5f3, 0x1794fb79, 0x36109dc6, 0x5b715cb7, 0x2ebcc507, 0x8c26e9e2, 0xcda0e0dc, 0x75c694e7,
+    0x711f0188, 0x52b1a08f, 0xa67e3f19, 0xd0418a88, 0xce3063fd, 0x99d70748, 0xf83cca8b, 0xd7b55818,
+    0xef457930, 0x661aa5d0, 0xba26d797, 0x27ecb4c5, 0x06193dfa, 0x97c8ed8c, 0xf1eb6ca9, 0x7d81ac4b,
+    0x0c89bc7d, 0x4726be7a, 0x63040c6d, 0x08dd7cfb, 0x4440bf22, 0x3d0053f5, 0x1557014d, 0xb725cc9b,
+    0x0464417a, 0xd04d87c5, 0x67bbba31, 0x042c757c, 0x75144245, 0x1fa63e33, 0xf6d4e69a, 0xc36b2517,
+    0xabed4dce, 0xf5cef15f, 0x691f53f5, 0xd733fec4, 0x60656770, 0xb8656d5d, 0xd4d845b7, 0x3dc47f24,
+    0xb0e2d2a6, 0x053d7750, 0x34101b5f, 0xafab1294, 0x1abce1a6, 0x3ad05137, 0x405ea28f, 0xfe7efc5c,
+    0x2d679a1f, 0xa89b65fe, 0xc0ba303b, 0xbf50ff9a, 0x4eb16518, 0x14cf7980, 0xbed24526, 0x86f72437,
+    0x0a6db0fa, 0x88f381c7, 0x9ba2b979, 0x965eba43, 0xff102483, 0x53a99b2b, 0x6b2de88c, 0xbd9e7598,
+    0xf2699e66, 0x844993f4, 0xda88e961, 0xaf901a73, 0xce706200, 0xf27d953e, 0x44b80a7c, 0xcb67e023,
+    0x87cb49c0, 0x7de2b2b8, 0x327b0657, 0x5649e0b1, 0x70251592, 0x57de3686, 0x193db035, 0x5ba3005a,
+    0x81c3cb86, 0xc04a0d5a, 0x4e84a5e1, 0x8cde3edf, 0x7653c193, 0xeb3def79, 0x9c1ef479, 0x241ccb61,
+    0x3fd56272, 0x70f26b76, 0xa7f16262, 0x8119ba28, 0xbef0d012, 0xe245f8d9, 0xd8a057b4, 0xd6cede54,
+    0x5358e799, 0xaf526601, 0xaaff7bcc, 0x68103d40, 0xdc7f0a30, 0xd1bdf58f, 0xfceb9938, 0xafae8674,
+    0x3fdabe84, 0xe1ff2371, 0x315082d7, 0xe785df68, 0xf64c875b, 0x4a7d356a, 0x60dd812c, 0xf059a861,
+    0x9677f9c6, 0x7dc377e4, 0xe34a154f, 0x0e24908c, 0x215ab619, 0xfaca6c3d, 0x9000eda2, 0xa4f6741d,
+    0x00139e84, 0x83fcb6e6, 0xa3d272b8, 0xb57f4ac0, 0x5516e347, 0x036ff38b, 0x0f82e7d2, 0xe504b720,
+    0x203d0611, 0x1bf3c5d7, 0x78fc614c, 0xef229a4c, 0x9931fb07, 0xba1801e4, 0x3c78edbd, 0xbf800c6e,
+    0x2375d270, 0x82aa7ae0, 0x643ebb13, 0xf3d8a614, 0x46fc9f6f, 0xe7f2281f, 0xb40f8158, 0x49bf51d1,
+    0xb6efa764, 0x0f76100e, 0x0e7b94b0, 0x11cf9512, 0xabe5780d, 0xbb353216, 0x62b7a2d7, 0x60f1de7a,
+    0x060a3056, 0x53608ad5, 0xfc20206e, 0xc59202d6, 0x67e5248f, 0xe3c0c242, 0x6a190b08, 0xd49785fd,
+    0x726f5e6c, 0x9ab0cb15, 0x808a2d46, 0x5dee41b8, 0xf2cb3df0, 0x41a84d91, 0x5fd3b852, 0x73650df0,
+    0xbe6a6fff, 0x540e47bf, 0xec7058fe, 0xe0e4679f, 0x0a1fb28b, 0xdf6c0956, 0xa3003f6a, 0x8452cdea,
+    0x9f1d2d8a, 0x02985d31, 0x8e0a73e3, 0x2a6742fd, 0xffa967e2, 0x7f09f92b, 0x92a258aa, 0xfc1affec,
+    0xcbf63209, 0xf14ad396, 0x32609a89, 0x05f25ede, 0xde2d73aa, 0x9e73f1ed, 0x72045272, 0x03bde89b,
+    0x8a28d150, 0xf570a1dd, 0x9a7a00f5, 0xc9b91178, 0xdcc228b3, 0x7db9e02d, 0xb56731c0, 0x1ae59001,
+    0x1212c059, 0xb515ebcf, 0x792f2811, 0x7ad5f98d, 0xcf8da5e5, 0xe5716bac, 0xf88047c5, 0xbf7232ee,
+    0x50ccbc98, 0xa9b360b7, 0x844ad730, 0xa1ab8dd1, 0x56efa4ed, 0x93bf2a1d, 0xa6761219, 0x5b3b32db,
+    0x77d4e77b, 0xd2ca9062, 0x0ac66e77, 0xa593dcac, 0x2270f0d0, 0xc91ad447, 0xef001137, 0x509c94d8,
+    0xa4b6d945, 0x5a4a8989, 0x47a6d92a, 0x31cf551d, 0x10092ab3, 0x4a55ecd1, 0x75b85bf0, 0xc6ee6736,
+    0xcfc73ecd, 0xa3d779d7, 0x97cf1f52, 0x10d1f89e, 0x2f21f266, 0x1e46e181, 0x5a352735, 0xec17e3a9,
+    0x70cf724e, 0xe976b1e3, 0xd5e29d18, 0x82c768f9, 0xd8deb3b4, 0x5b705952, 0x27bc673a, 0xa8833ac9,
+    0x518a0cba, 0xe11d83a6, 0xededa7a8, 0xdc317c75, 0x8b6cd4eb, 0xefb6fc0a, 0xa3fca240, 0xb83fed16,
+    0x93381c08, 0xb5595c00, 0xbf073dd3, 0x279bbd15, 0x80ce9340, 0xa24ec876, 0x6e387cbe, 0x362b3f72,
+    0xd6fd8a0b, 0x99b3c2db, 0x4aac8ec1, 0xe15ffc5e, 0x0564f4d4, 0xcbc20e64, 0x367c64eb, 0x8add4169,
+    0xf2f65411, 0xe8377046, 0xa5cbb93b, 0x89462619, 0x577c9f08, 0xb3d9e7ac, 0x9824bf1f, 0x0cadd9e2,
+    0xe1f5c450, 0x8bb4855b, 0x656c67be, 0xbb7602de, 0xdd0d942b, 0xb613f2f0, 0x10f0bfb5, 0x3ec4469c,
+    0xcd3bbf63, 0xcc5ebc9c, 0x2fa0fba5, 0x5ad413d6, 0x2cde8bf0, 0x97f1b3c4, 0x29ee0de7, 0x26dfd739,
+    0xdab84639, 0x09c96c9a, 0x6cf84979, 0xec000f5f, 0x7b272967, 0x5968bd09, 0xd3a23b73, 0x4b9e5622,
+    0xe127a5eb, 0xf3885f20, 0xae4f245f, 0xf09dd1c7, 0x7286ebfc, 0xc598e5c4, 0x5a3ed294, 0x5da875fb,
+    0x44c645d3, 0x1f3287a9, 0x6d978291, 0x3b131dbc, 0x4d8a2c60, 0xb2006516, 0x3524cae1, 0xe6a397ca,
+    0xdbe30a9a, 0xcaf7dc4d, 0xb03b2a44, 0x0aff1b7b, 0xc5eec2c0, 0xca37cbed, 0x6d2d54c8, 0x301069b6,
+    0xba1a8d27, 0x90a5e4ab, 0x3c136b6c, 0xf14d2947, 0x63a82371, 0x509efea6, 0x34da3573, 0x95106766,
+    0xa1d02639, 0x1d5f8a56, 0xfafb63ed, 0x8f8361b2, 0xe14aad52, 0x1c805710, 0xe5e03b34, 0xae4bfa76,
+    0xafaa40ef, 0x4c55d7b1, 0x6f417cb3, 0x3f7b8008, 0x981760c1, 0x4f786032, 0xbd4e05e2, 0x2dc6c4d7,
+    0x16ad013a, 0x31e8b380, 0x24893b7f, 0x10cb69c3, 0x7eaa6424, 0xbf310c66, 0x4f8ae1ad, 0x1e7c0d96,
+    0xf9f3f9ba, 0x9d633fc4, 0x05dda222, 0x33a47bcc, 0xaca93476, 0x85644298, 0x079546c6, 0x912a7d41,
+    0x53c25a37, 0x300fd288, 0x843ff2ae, 0x4143d14b, 0xdb615dfa, 0x3dc79f86, 0x55b49c50, 0x13460d6d,
+    0x1f798ea6, 0xf1e97170, 0x9c3992ce, 0x3ee3b86c, 0xf386da88, 0x53d7e0ba, 0x637444e3, 0x67dd65e2,
+    0x442b6726, 0xeb1f4d39, 0x6d7ed0a7, 0x14ec7344, 0x4f27e14b, 0x0c82c62f, 0x84509934, 0x380d466e,
+    0x445fa1da, 0x2a02349b, 0x178d0f7c, 0x86cf1c40, 0x48ef05e0, 0x87fefb34, 0xa6f1f2eb, 0xc0677afa,
+    0x126a25ac, 0x72c82b75, 0x40f9807c, 0x42564dda, 0x8c7a3dfc, 0x14410327, 0xae9ed2c2, 0xa3ec0bb5,
+    0xec08899c, 0x05e3636b, 0x081320c0, 0x11970aa2, 0x87abee5c, 0xaa81ac11, 0x7cec3a84, 0xfa6bd674,
+    0xe49427a8, 0xeeea0ae6, 0x8b33f5b5, 0x690dd87a, 0x090d30bf, 0x36d4c16d, 0x18ec6228, 0x3f72b698,
+    0xf5887c98, 0x666630b4, 0x237b9745, 0x4015b8e6, 0xe7dd41ee, 0x455d4bef, 0x1889170f, 0x25fb4522,
+    0x36e27533, 0x1a9c4699, 0x6ba369a6, 0x1a261450, 0x9ed959a8, 0x2a2be102, 0xdb1eefb1, 0x1f9db3f1,
+    0x498d8d99, 0x2fc3e0ab, 0x550d47cf, 0x017f8677, 0xaf211cff, 0x40ebad7a, 0x5e540fa5, 0xaf583f77,
+    0x4531a161, 0xf301170a, 0x63b477b4, 0xb724a09d, 0x3a10c53a, 0x8446998f, 0x70e69e15, 0xb9d31a82,
+    0x79163d9f, 0xbf9f0b65, 0x3795e753, 0x81c54b2c, 0x8ca4605b, 0x455341a7, 0x7416cbf5, 0xdf741cc0,
+    0x975fc4fa, 0x6518ea6e, 0x0fca676d, 0x4b010d20, 0xa965a76d, 0x001a01e6, 0xbd43ce9f, 0x45999797,
+    0x3b9cd681, 0xf73ca22f, 0xda007e62, 0xd4273e20, 0x6b6406e7, 0x7a178f06, 0x64b2afc8, 0xc222c192,
+    0x2e0f33be, 0xa42b46ca, 0x1d0ed372, 0xc6adbef9, 0x3d15364b, 0xeac9a872, 0x6ddd7b35, 0x90f79c9d,
+    0xce690a91, 0xc026ad50, 0x6799e171, 0xfc55c044, 0x30b3a214, 0x0bbadb28, 0xe2e0e1fc, 0x97d3e3c2,
+    0xbc7f3af3, 0xb34df1a3, 0x1e702575, 0xdc729cdb, 0x4d08ddd5, 0x3984e8bf, 0x3de2495d, 0x87cb703c,
+    0x77f9c8f1, 0x63dd0572, 0x12b6e674, 0x48c5851a, 0x1e784539, 0x2f688049, 0x8d735724, 0xc5dac409,
+    0x7795a3c5, 0x79790c0f, 0x96e73bb7, 0xa2c9170b, 0x109c1c2f, 0x8af753f8, 0x32604702, 0xde661b55,
+    0xf252626a, 0x48f7284a, 0x6b8cc578, 0x5fa24b5b, 0x2df55dd1, 0x75d30b28, 0x3bb990c0, 0xef31bf98,
+    0x95ac6978, 0x2abd6b77, 0x3017283a, 0xe909a449, 0xe25668d0, 0xbc71c562, 0xe26a83dd, 0xe25493eb,
+    0x2f1c235e, 0x96bdde81, 0xb97d3acd, 0xf4c6ec9c, 0x895aa585, 0x6ebcfa86, 0xbd5c4cd7, 0x69669cfa,
+    0x07ea384d, 0xfe27183b, 0x7760f2f8, 0xe3aad383, 0xcababd93, 0x681efb90, 0x6bdffbf7, 0xb72d8151,
+    0x3a999340, 0xd45ddb63, 0xaf020ad4, 0x150d9444, 0xbd11f3fc, 0x9369eff0, 0x3e0c3a44, 0xbe65827f,
+    0xd7278fef, 0x7bb61753, 0x65771041, 0xb91936cf, 0xe2db3bf6, 0xe46bc869, 0x2facd59d, 0x776093b2,
+    0x56de6f32, 0x68c015ea, 0x03ed1c17, 0x5a8eb7d9, 0x5028dc42, 0xdfe7f3da, 0x93880046, 0x5752fe01,
+    0x1a01c20b, 0x18830c79, 0xe2eebd95, 0xdb92ac79, 0x9b477666, 0x08ce4842, 0x7720369f, 0xd3cb9d21,
+    0x90353baf, 0x5ee7f988, 0x0f7bd94c, 0x9a212ece, 0x975daa08, 0x7f017124, 0x699b9645, 0xaf328dff,
+    0x5c75bd42, 0x2dc1d6b0, 0x97331503, 0x5f16d88d, 0xd52d084f, 0x9a5338e8, 0x26996ea5, 0xd2121443,
+    0xc36a6c24, 0x7ec502a6, 0x7e2d6a36, 0xc5270e2f, 0xcab82f94, 0xf5576f66, 0xde5bbde7, 0xdcc29726,
+    0xac8349d4, 0x59f769aa, 0x2b07d993, 0x76b98dfc, 0x7ae47b08, 0xb8987ccf, 0x997702ea, 0x2720cd97,
+    0xce23c882, 0x08b54109, 0xa6e4c95d, 0x268abfbb, 0x312a0832, 0xcec97bb2, 0xfb2a5339, 0xb902623a,
+    0x72adcc3c, 0x37e4b40a, 0x15130c56, 0x4b46a7c8, 0x7ec236d3, 0x01dcea9e, 0xe8f9b851, 0x47567406,
+    0xb48ead33, 0xf02c6444, 0xecfe2085, 0xb2507e64, 0x25dcbfa8, 0x516dd59e, 0x27015d90, 0x6fa197ff,
+    0x114eb23c, 0xef15844a, 0x4c45ab36, 0xe9eb2e0e, 0x82c1f8b3, 0xb81461a6, 0xae148704, 0x4c1b0f7a,
+    0x1ddd2ed5, 0x4eb8e0c9, 0x844b1512, 0xbf542440, 0x1bab7a7d, 0x5922e4d8, 0xf443ba88, 0xfd968bba,
+    0x270ec85f, 0x126277a9, 0xed7521ff, 0xa412807a, 0xe82e257c, 0x93e2619f, 0x2aa47bcd, 0x50579b03,
+    0xdf5fae29, 0xe71b11e6, 0x51a4b842, 0xfbd4965f, 0x44dfe39f, 0x8064b328, 0x35f86812, 0xb7463db7,
+    0xc065451d, 0x335bc517, 0x2484bb1f, 0xd7565597, 0x5d669f00, 0xb43b90ea, 0x114b735d, 0x58ea55a9,
+    0x950b60e4, 0xf3d6b593, 0xc0a32ad5, 0xd8c4ae7b, 0x19bbb06b, 0xbd57e6fb, 0x0b7ba87d, 0x98f5fcff,
+    0x4c02539d, 0x3dbefbb3, 0x88994e82, 0xea9fee34, 0xdabc284c, 0xc636d14b, 0x159efaa8, 0x6ea06329,
+    0x582b1099, 0x8227e71b, 0x16425c37, 0xf04a86d2, 0x8bf85306, 0x5253b717, 0x78da8b12, 0xa74b5865,
+    0x00000000,
+    0x10b1156f, 0x317ccd78, 0xbfbe8c3d, 0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04,
+    0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000010429624198832568\
+                          76169444192465601618458351817556959360325703910069443225478828393565899456512 */
+  { 0x00000000,
+    0x458316fb, 0xe3490b27, 0x61114440, 0xd1570239, 0x2792b7e3, 0x3ecd1b34, 0x1ffb08a9, 0xbc0dce24,
+    0x7bd89810, 0x1653ec23, 0x6751eb53, 0xc0737498, 0x4a5e39db, 0x90552a8d, 0x1c1f0176, 0x647ba9ea,
+    0x5a94f062, 0x379ba12f, 0x51ae4c25, 0x9bdcc171, 0xd9e00d18, 0x5607f8b9, 0x514e3322, 0xf0c5a772,
+    0x45e8fb06, 0xeb16ec00, 0x92a3313d, 0x9eafe6ec, 0xcb9a8b43, 0xc11bccd4, 0xd1aaf821, 0xe428da08,
+    0x2cad3170, 0x0f1a5722, 0xe09bc12d, 0xe3b2cbbb, 0x1fc7a2f5, 0x68394f55, 0xb43f8680, 0x42779f19,
+    0x9d14d231, 0x2884737e, 0x3a2a0976, 0xf5b83aa2, 0x8e8447c9, 0xb9be222a, 0x1f1e48db, 0x9dcd9b40,
+    0x72b9ed3d, 0xe5479312, 0xab2afb98, 0xcd40e70d, 0xa3f5c875, 0x75bc47e1, 0xa30a9e49, 0x95aa023f,
+    0x4b7a35ab, 0xa8e2ddc5, 0xd02c31d3, 0xed47d35d, 0x660d49d2, 0x882de9c1, 0x8b64bdf3, 0x5de4e6cf,
+    0xf73524df, 0xec539a92, 0x486f3dfd, 0x6b2e53eb, 0x633653ce, 0xba42f073, 0x81f6907f, 0x7740e0ba,
+    0xebaee8f1, 0x70a44b7b, 0x6e215a15, 0x862b481e, 0x2b7520b4, 0xb8b15da7, 0xb3970bdb, 0xc658e59e,
+    0x4f20348d, 0x91116443, 0xde36ce44, 0x95bbc9e4, 0x9b692eb2, 0x49784aa8, 0xcf4bcf01, 0x9874e48f,
+    0xeb3ff093, 0xe18b5780, 0x72ffd08e, 0x3306a28b, 0xda097f94, 0xddf73b72, 0x8f542492, 0x64a6bf7c,
+    0x1928068b, 0xc36884ee, 0xdc7020cb, 0xd6f1fb80, 0x4d99ca9c, 0x7100a655, 0xeeb5996c, 0x73d5d9cf,
+    0x50407d1f, 0x78cada31, 0x3404ac6f, 0xb70e943b, 0x7224f435, 0x02509c8f, 0x8d48928e, 0xbe3914fe,
+    0x9c389b60, 0xb2a33fdf, 0x69a4bf3e, 0xdb0d0cf2, 0x4d1ad56e, 0x7413d3b2, 0xbad34902, 0x0688781c,
+    0x75f13ad2, 0x884b9df6, 0x93fe7526, 0x9d909c9c, 0x37febafc, 0xec1a61bc, 0xa3548718, 0x195e425d,
+    0x2a35c1a1, 0x7143bb10, 0x9252d89f, 0xd08dc747, 0xe74737be, 0x3219a10a, 0x98e4becb, 0x50f4abce,
+    0x64ef60d3, 0x21c63505, 0x9ee4edbf, 0x2ccebc63, 0x450c2778, 0x20229f42, 0x324d976d, 0x00837081,
+    0xc3f589a0, 0x1b2aac37, 0xd2a050fb, 0x9d7d2b62, 0xfe7c9553, 0xcd7486cc, 0xaec5e8ff, 0xf768fea9,
+    0x42ed1a77, 0x43de9e32, 0x64c096c6, 0x79c6b7d0, 0x34793afd, 0x05a72ed1, 0xa6cd259a, 0xe9bf99d9,
+    0x8e020dce, 0x6844112c, 0xc9264fe7, 0x1394bb85, 0x23b8ef80, 0x3d4bde19, 0xd344d023, 0x8336f760,
+    0xa3a3ceb0, 0x1a1069a1, 0xdf59c03f, 0x04e259f3, 0xdb745876, 0xe97c0574, 0x9bb5ae14, 0x5e106b1c,
+    0x37c8d43a, 0xa674f37a, 0x29880367, 0xe59649f5, 0x1c35bfc8, 0x68b34653, 0x4af62b8f, 0xdb3dae3a,
+    0x91c5447e, 0xefb27c32, 0x2ce68f32, 0x77f06718, 0x7298c737, 0x9f93f42f, 0x93485365, 0xa99f61c8,
+    0x125620ee, 0xa6ffe7fa, 0xea14c1ef, 0x15fe3ced, 0xd84cb2a0, 0x4e1760a4, 0x99324a71, 0x5640dc67,
+    0x4e0bfe89, 0x1610e439, 0x3d7c22b4, 0xb631a40d, 0x9b918c3d, 0xf92a5cb7, 0x3fa86052, 0xc2091135,
+    0xc0739d3e, 0x41fd6842, 0x88c04e68, 0x1fefa35d, 0x47b039e5, 0xcc9cf879, 0xe52d8809, 0xbf619251,
+    0x5cfc7b54, 0xbb8f5635, 0x37d01bcd, 0x2aa3fce4, 0x90cfc8a1, 0x835df211, 0x4745d07a, 0x0c00521d,
+    0x399cb32b, 0x43e6041f, 0xad0e00c6, 0xa591b2c6, 0x1a3692c3, 0x30e1b06d, 0x70d1291d, 0xf0fc276e,
+    0x3029800e, 0xe0e47390, 0xefc76286, 0xb8d20ba1, 0x58e0db4e, 0x989020d4, 0x4321be68, 0x8946536d,
+    0xfc128322, 0x34dcc49d, 0x46e50546, 0xf58d4815, 0xcf8e7373, 0x819f5403, 0xf88a0197, 0x79b42af5,
+    0xfc936e29, 0x73dbceef, 0x7035e0a3, 0xcbd9e204, 0x3b6eae89, 0xa7114eeb, 0x4813eff2, 0x591469b5,
+    0x178e3f31, 0x271b8ace, 0x9e01b7b1, 0x7b08e10c, 0xe82b63e3, 0x04a22930, 0xc13eb63f, 0xbed82a59,
+    0x5e0e2f0c, 0x20cfc52e, 0xdf372825, 0x12156740, 0xabfc2063, 0xd5a0afd4, 0x3859159d, 0x6a0cfd1e,
+    0xb74db8da, 0x2e8c94d7, 0xaacc11e7, 0x72d99cf5, 0xd6c0a2ed, 0x4971267d, 0x1245dc1e, 0x1bc27d60,
+    0x5a62429b, 0xec2b2c8d, 0x63a24bf5, 0xfab2273e, 0x5a3de257, 0x226d79dd, 0x9d884b1b, 0xc8d407b8,
+    0x7c9ece74, 0xd9ee11df, 0xe4c491c9, 0x83a0cbab, 0xd3b15d3e, 0x9d231420, 0x1a6d74ec, 0x77f531c0,
+    0x0f22c585, 0xa1e4fee6, 0x434d7f8b, 0x3168298d, 0x67e2e67b, 0xc515f957, 0x9bde0c45, 0x192277c5,
+    0x1981e230, 0x96f66d50, 0x7d58225d, 0x2277aa1a, 0x254291a6, 0x410eea99, 0x6ac14176, 0xd65dcdb4,
+    0xaecaa3f7, 0x341e6b13, 0x4ea71943, 0x23bc6922, 0x2ff3ba4d, 0xeed86617, 0xd669134d, 0xf64a1f48,
+    0xc84b6660, 0xf660c432, 0xb498a923, 0x86df4103, 0x0e8ae56a, 0x3f50f275, 0x46eeeca7, 0x29b76c55,
+    0xf937db47, 0x84914f8d, 0x66387563, 0x411bc86b, 0x42c781c8, 0x30491737, 0xe20c3d6c, 0xd21e79fa,
+    0xe1b4363b, 0x02703cfc, 0x3131ea8e, 0x3b0219cb, 0x75d6d855, 0x295d61e2, 0x9c1d207c, 0x8bea3566,
+    0x91de5957, 0x4e8cc301, 0x077a113e, 0x330801ea, 0x0b31fdd1, 0xdcae7ab4, 0xedebde11, 0xc91fff56,
+    0x9d6a663f, 0x3be8f1c2, 0x000ac89b, 0xfc06557c, 0x920e79a9, 0x55f4b144, 0xc0a5428c, 0x46de2a8a,
+    0x48ea946b, 0x70820a3e, 0xde3a56b5, 0x31c6d05c, 0x60f06f43, 0x9de5fd64, 0xfe452330, 0x71107fbf,
+    0xd11d8927, 0x2cea3bef, 0x938756b6, 0xcbc077ed, 0x26e6162c, 0x55eb6d44, 0xfa8adba0, 0xc7f44d82,
+    0x740b8319, 0xbef2d5f1, 0xa434975c, 0x8ea8e7c3, 0xf149c24d, 0xac521494, 0x98ee41ba, 0x357c3eb5,
+    0xb4265570, 0xd9db18e5, 0x9a1f88d4, 0x304edebe, 0x5c343151, 0x04dc674a, 0x30475f41, 0x865bbc53,
+    0x14c7a3e3, 0xd22dfe5a, 0x9ca84e58, 0x6708747d, 0xf244049f, 0x24f56813, 0x939d8ec9, 0x993b3aeb,
+    0x408b8f32, 0x2d4c78e5, 0x6a64e4cc, 0xa0572abc, 0xc308e6b2, 0x9a28d076, 0x29861b1b, 0x9e964f31,
+    0x6940f1c2, 0x313d70e0, 0x5c1311d2, 0xbc26d307, 0x964eca28, 0xc83966ef, 0x45eae28d, 0x2ecd0cdc,
+    0x163d5593, 0x57beb4b4, 0xe91e37a3, 0x79dd1795, 0xda9d0f77, 0x68dd275f, 0xe65a2dae, 0xc87912c0,
+    0x28512d09, 0xb8e30d7d, 0x50e074b5, 0x5cf8084d, 0x0007f00e, 0x49560987, 0x8a12da4c, 0xd4dfba0b,
+    0x0a7c3400, 0x28a8dd77, 0xf06c1bad, 0x99a0377c, 0x5fe25e1f, 0x03385933, 0x87fd5440, 0x06925ba9,
+    0x7ba0ec63, 0xd17b8ee9, 0x10174d01, 0xd314acc4, 0x3eae22bd, 0xfa39e28e, 0x89a3359e, 0x3a3a9a12,
+    0xea86780b, 0x9c6fe89e, 0xe8450e79, 0x4455e312, 0xb5980358, 0xe9b9f72f, 0x62adf223, 0xfa2e0e99,
+    0x0101c575, 0x46373919, 0x0fd44b91, 0x069818df, 0x12af4115, 0x8c2f892a, 0xa8ae4bd1, 0x5a8c56e0,
+    0x8071cd19, 0x29479365, 0x36132449, 0x97ecb2e9, 0x55d85aa8, 0x2857d8e2, 0x8c690d0e, 0x1f549a8b,
+    0x55e95ccb, 0xc662f8f0, 0xc460a96a, 0x97a7b037, 0x82a76542, 0x519047c4, 0x0c620bcf, 0x8bf74767,
+    0x3f457813, 0xdc398099, 0x6b40627e, 0xc1639732, 0xbd244b55, 0xb1bfb0b2, 0x12406bb2, 0x97954368,
+    0x1238fe92, 0x763ef8c4, 0x608dc237, 0x0cf52222, 0x4c4aabce, 0x4bd0571a, 0xffe522d8, 0xdab40bb9,
+    0x789ed6f3, 0x6ae0406b, 0x89da8458, 0xa065792c, 0x93ef354e, 0x9475c1ee, 0xe734b691, 0x1cb36c1b,
+    0x6189b38f, 0xd4bf6afa, 0xbff1c4f8, 0xd291ee3c, 0xc3dc9496, 0xde9e7a66, 0x48180489, 0x24bed2f1,
+    0x931b41e9, 0x8a564322, 0x066ce77c, 0xf5e8102e, 0x164b50bb, 0x129fee3f, 0x4053ee73, 0x4b7b6cc0,
+    0x76a48111, 0xd630bc5a, 0x0756ddf4, 0x88ca0974, 0x9949509a, 0xb4b7ebbb, 0x54c0efe6, 0x5ac4b6ac,
+    0x4e88b733, 0x6f23218b, 0x0a35c455, 0x9ab16d37, 0xe0237c66, 0x82ad474e, 0x855a138b, 0xbaceb8c2,
+    0x3a47b45d, 0x51ffc664, 0xfe1e7f18, 0xe254db9f, 0x00314c4d, 0x3f7491d2, 0xf9629a72, 0x23fc3333,
+    0xed2db65d, 0xe12d6a13, 0x01a85794, 0xcd6afa84, 0x326e9cf2, 0xea6c5814, 0x152864ad, 0x4c88b30f,
+    0x1f8be3d6, 0x6bb07b8d, 0xa5c77867, 0xa002e287, 0xef36ef02, 0xabf0bbd9, 0x298ca5db, 0x0b99f62c,
+    0x225c3514, 0x6b6407e5, 0x2d69e154, 0x7a1ac03e, 0x7d40f65d, 0x43364374, 0x91f354c8, 0xcca26cd7,
+    0xfa3418aa, 0xb7da60a2, 0xcf69b6c6, 0x1a06d8b7, 0x8f2efdc5, 0xb91504e2, 0xc6e05e1e, 0x71e9febe,
+    0xcd812ea2, 0x2e96070a, 0x34d74e5f, 0x7bdcc401, 0x459216e3, 0x0a86a6ca, 0x068b3a89, 0xe9a420f5,
+    0x7fae020f, 0x531ae17e, 0xde4138c8, 0xb42a259e, 0x6ce4b66a, 0x572d1816, 0x377d9c57, 0x6e9a3a3f,
+    0x7187db40, 0x2d3fcae1, 0x139c474c, 0x20da3d1b, 0x085867e3, 0x29f89f91, 0x2e5f281b, 0xcfdf1f3a,
+    0xc701d9cd, 0xb4a8dee9, 0x7c1b773a, 0x152e007d, 0xa4f66870, 0x5c72756f, 0x854a1132, 0x282edf55,
+    0x99cbaa28, 0x4a361401, 0xa9f3b21a, 0x086bbc4e, 0x96f69d77, 0xaf7d6669, 0xc228e869, 0x057025df,
+    0xb2b85cd4, 0xccb7e333, 0xd54548f0, 0x572a53b0, 0x8a8753fe, 0x5ec1b4d3, 0x27d75d06, 0xf0eb9c49,
+    0xdd3c36ae, 0xb4441e32, 0xd5876e3e, 0x1f3c8196, 0xd5daf1b5, 0x61c1ee03, 0x8c6c39db, 0xa249be2a,
+    0xb278ae5a, 0xf2019ddf, 0xbda02b42, 0x2851113b, 0x3ad6a9f3, 0xbcc95eb9, 0x2e9b05ba, 0x8b188925,
+    0x4bfa771c, 0x059bd9af, 0x22b2a4ba, 0xe390117a, 0x85f16b61, 0xdc9ca794, 0x7b84f9eb, 0x04e976a4,
+    0x0374083e, 0xaf8d8af2, 0xce4fcacf, 0x25b1818f, 0x50312af8, 0xd5067bdb, 0x045c0077, 0xf21e3939,
+    0xeef21e03, 0x49464002, 0x827ce832, 0xb09312fc, 0x2e95de21, 0x57206d70, 0x455058ef, 0xc03373ff,
+    0x234c2232, 0x46779fcb, 0xdc03f856, 0xe488e9c9, 0x8f2aeba5, 0xd56bc16d, 0x75b9c56e, 0x5e9f731d,
+    0x4a8c314a, 0x1548f1bc, 0x936b91a7, 0x8bdf9b36, 0x1d7fc6d2, 0x0f166a4d, 0xc85fe883, 0x8a6f0f29,
+    0x85361350, 0x6049086c, 0x8de7d949, 0x404b432d, 0x19a16aab, 0xf37db5d6, 0x88174384, 0xf6c5f0cd,
+    0x7098a9b6, 0x5198ccc4, 0x66bd02f8, 0xe9a1cc74, 0x65215cfe, 0x901681e3, 0xba54c3ae, 0x27ba9ccc,
+    0x0cdd7f80, 0x8fa84936, 0x37875aee, 0xf4b769f9, 0x39e142e5, 0x243584fb, 0x06512657, 0xf23ff55c,
+    0x053b5642, 0x07c75e1d, 0x7176b27b, 0xb2944b97, 0x6595c3df, 0x194ba39d, 0x6cfba914, 0xc1c76ee8,
+    0xdf32c24c, 0x6303d29c, 0xfb0ed905, 0x057893f4, 0x62628260, 0xe708e627, 0xd3aea324, 0x417f45ab,
+    0x9e1a22ef, 0x3649df45, 0xca6da7fd, 0x79a3d98d, 0x36dd7c24, 0x2be6e7ee, 0x118eec67, 0x1e9020c0,
+    0xe0862ed9, 0x1ad307b4, 0xd76fb1db, 0x4207bc29, 0xb67aa06e, 0x23aa0fa2, 0x9c85c775, 0xdb15c7de,
+    0xa9c8919d, 0xa876fb76, 0x715cb1eb, 0x42d37302, 0x23008b2d, 0xf97cce12, 0x93a0006a, 0xc63451d8,
+    0x9cad78f4, 0x9dfa08a9, 0x08497a03, 0x29a6b539, 0x2a54b1a1, 0x832d22e3, 0x9b7ca3f2, 0xe811d135,
+    0x3c8dd024, 0x4ca768f3, 0x11d8159f, 0x496e4773, 0x5bd7fb2b, 0x5f3471cb, 0xa60712a3, 0xde0c6e17,
+    0xaea070f1, 0x5e67e576, 0x5983c4a5, 0x9e4a14a4, 0xe04747e2, 0xdb893178, 0x78c2e027, 0xf5c3537e,
+    0x9e151f8b, 0x242b09e4, 0x7d8c2989, 0x76957f50, 0x555b1223, 0xafcbee27, 0x50a1a5d3, 0x63b01e0f,
+    0x382ee088, 0x230c9136, 0x4d7eca61, 0x2c7de519, 0x782369ba, 0xf03abcbb, 0x1d44b3fc, 0x7ff5a130,
+    0x39e1630a, 0x7628873d, 0xcb036eb1, 0x20c474ee, 0xa169301c, 0x1e400218, 0x58f02b34, 0xd3bd81e5,
+    0x53142693, 0xeb8181e8, 0x56df845d, 0x2df8def3, 0x856556ef, 0x3daeda99, 0xbab624b3, 0x3e5f57eb,
+    0xb1360312, 0x265a9929, 0x3366784a, 0x4b49e2d3, 0x9db9c164, 0xfb247c7c, 0x74bd7e11, 0x1740aa30,
+    0x1674515f, 0x449a9534, 0xa2a52eb2, 0x192f508a, 0x301ad7b3, 0xa18443ef, 0xf4e851ca, 0xf0024ad6,
+    0x6e5e451f, 0x05fbd70f, 0xfc51bd64, 0x208b2e64, 0x7e33fc2f, 0x695a96e4, 0xbe719e01, 0x4909ee8a,
+    0x937ed451, 0x9bb448a2, 0x6c3f2a96, 0xc6e20a60, 0xab6cf895, 0x6523eeee, 0xadaf6264, 0x4c1a7464,
+    0x5023080e, 0x1a865f94, 0x77df0f3b, 0x910b84aa, 0xde01c371, 0xa320bb64, 0x1e0f11e8, 0x9f7b22dd,
+    0xf4711e83, 0x39887259, 0xc6528a81, 0x2bb8c9be, 0x7d2837f7, 0x6464a4f8, 0x13d6e766, 0xb0f49f93,
+    0x215a53bc, 0xde6c85d2, 0x8d1b730f, 0xe44d8207, 0xe2740830, 0x354c9de0, 0x24754c97, 0xc4952107,
+    0x7bb8d906, 0x933a3e0a, 0x0fa1664c, 0x5ce768f4, 0x78d30d5b, 0x10175f31, 0x4a229361, 0xa076f9a3,
+    0xb4a591c2, 0x8441af62, 0xed932d85, 0xf99f43aa, 0xc582965d, 0xec96e9ed, 0xffc9ef22, 0xb28a57e6,
+    0xae1010f5, 0x71c6d38d, 0x167bea79, 0x37d14ba3, 0x8959f998, 0x524c2297, 0x962fcde9, 0x93543f64,
+    0x94c6ba24, 0x32152e18, 0x5459d2d5, 0xa4e9bec9, 0x54e12fdb, 0xaa1142fb, 0xcb620d6d, 0xd87fba72,
+    0xc8ad2a23, 0xf8db5101, 0xdc2f9108, 0x15670c2c, 0xc410fcb4, 0xaeb19014, 0xfda04711, 0x9915c702,
+    0x44401f34, 0x840877db, 0x79c252e2, 0x5943caac, 0xbf57615b, 0x1131db2f, 0x77cd43ad, 0x994943fc,
+    0x17e00b57, 0xa3e10e26, 0x17f12295, 0xe0d56aa4, 0x77c103c1, 0xd6edbe0e, 0x88534dff, 0x18495b17,
+    0xcc657c7a, 0x5c8f5728, 0x28e0fd2b, 0xbb3c49a2, 0x876ecbf6, 0x9c28c94f, 0x4edbe753, 0x13ae91a8,
+    0xdb135ba5, 0xeb83598b, 0x4ef4f89b, 0xbc364611, 0x58b6d5d0, 0x649ebd5e, 0xa135716e, 0x36abedec,
+    0x69e81eed, 0x3b87b699, 0x82e59ac4, 0xace825ee, 0x461d13ff, 0x38711b61, 0x6862971b, 0x1702964a,
+    0x8e2f93ba, 0x95c85cb4, 0xa7ab85bf, 0x364c5eb2, 0xadcd42f7, 0x6266153a, 0x64378dbe, 0x7e4b8e7b,
+    0x7cb2ca9b, 0xe195dff8, 0x4bb5a60a, 0x3e458e99, 0x945d8907, 0xc65875a8, 0xe3ae9640, 0x987751e7,
+    0xc28e4a76, 0xce686b03, 0x5cb18636, 0x953e85ed, 0x790dc57d, 0x3c37f267, 0x2038a392, 0x8b35e484,
+    0x6dff0c91, 0xfb376d16, 0x4f5c858e, 0xe639f583, 0x8d4a9330, 0xfe2c6250, 0x8c397ac8, 0xd4675a7e,
+    0x58603341, 0x600a08d6, 0x0bfc82ce, 0x1fd59dc7, 0x8c3e34e1, 0x70658b6f, 0x6ff49d11, 0x3ad53a13,
+    0x3e79c76f, 0x8f6ec0bc, 0x4aa51491, 0x49a4cb16, 0xfc99d51d, 0xcdd0521b, 0x8d519a4a, 0x7ab2dbd0,
+    0xe249de40, 0xc51ecf02, 0x912b0ace, 0x48f8577b, 0xca5a0aeb, 0x7d88f6bb, 0x01aa33df, 0xa1892f68,
+    0x82d8bcd1, 0xb1a9451d, 0x74c8251c, 0xca035135, 0xd3f1c9fa, 0x31f41e5a, 0xb657e60a, 0x0327f6af,
+    0x64ed1b42, 0x87b28fbd, 0x283c1764, 0x4ad6defa, 0xeb17c4ca, 0x4ba762e5, 0x363c68c0, 0x9255886f,
+    0x00000000,
+    0x08588ab7, 0x98be66bc, 0xdfdf461e, 0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502,
+    0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000005214812099416284\
+                          38084722096232800809229175908778479680162851955034721612739414196782949728256 */
+  { 0x00000000,
+    0x51dafd69, 0x4f366158, 0x79a09020, 0x5fcde4ec, 0x5209de5b, 0xede0e623, 0x1345eb8e, 0xbdb9e7b6,
+    0xce44da32, 0xa032733f, 0x9e519e80, 0x6924552f, 0x119c93ee, 0x6fb360f6, 0x234f66f7, 0xf826b17f,
+    0x324a8fd7, 0xf7562149, 0x80df24ae, 0xf9851406, 0xf76de49e, 0x923e3458, 0xc7c69129, 0x24e9bc0d,
+    0xcb7290e6, 0xd9d7dd60, 0x8ee5abdb, 0xd1ac324c, 0xd3264220, 0xca476281, 0x6ac51c28, 0x52dbcb1b,
+    0x1a8fc8b4, 0x510615b6, 0x358c9a18, 0x90d6b41a, 0xd64597e8, 0xea51cbe2, 0x9e00a991, 0xbf13d825,
+    0x541694e8, 0x731aac67, 0x97117816, 0x2f3e37ae, 0xdd5422ca, 0x7827bd42, 0x26e8be94, 0xe4f28d49,
+    0x210168b5, 0xcdc20591, 0x106ef07d, 0xab850ae9, 0xb08c03aa, 0xe365aea6, 0xbb047c86, 0x78b20047,
+    0x1d05af7e, 0xd7e35923, 0x6c308823, 0xb90bebe3, 0xe62fcf2a, 0xb49f6293, 0x025654aa, 0x9bbb82ca,
+    0x40fa9bac, 0xe8e4a630, 0xa5efb046, 0x7c8ad918, 0xf89c2b83, 0xe2d5c0cc, 0xf599da39, 0x8b0435a0,
+    0x836fde3b, 0xcd626b6e, 0x6ad6159e, 0x9791a4ec, 0x2651be0e, 0x3031d00c, 0xaa0357a6, 0xcfb4c148,
+    0xa7c41718, 0xc3458ff3, 0xdd55a18b, 0x5dd2cff6, 0x246cd17b, 0x9e91bfd7, 0x501c26fb, 0x9533ab8d,
+    0xdb1ebca4, 0xc8094068, 0xc3a48bfa, 0xeb7e749e, 0x3a36f51a, 0x09265606, 0xfcd70174, 0x53184b6b,
+    0xab534b46, 0x456b0618, 0xea0c89c8, 0xba96b7a3, 0x891b62d1, 0x8259a354, 0x15a45abf, 0xb1875ec2,
+    0xc304a635, 0xe58f7de9, 0x37df9f2c, 0x6b0440d1, 0xddb69dfb, 0x09c9a645, 0x740408fc, 0x8266f53b,
+    0x93d8e460, 0xc21843c9, 0x2e824af3, 0x91c68aef, 0xf22c586b, 0x4de0ebae, 0x7b5ee94b, 0xc917ca09,
+    0x1a3c91eb, 0x32024845, 0x92c16e72, 0xce9a1073, 0x0d0464a8, 0x7a7818a5, 0x80b365f4, 0x8da39d72,
+    0x86d99886, 0x869b464b, 0xe9d4e623, 0x9fa2861a, 0x1bc7fcde, 0x0f1ec72e, 0xc891d6e3, 0xd80a61d7,
+    0xb95bb7c0, 0xcb140748, 0xe4dc252a, 0x6aebcd40, 0x1cedd4b0, 0x4b0953fc, 0xa87b620b, 0x84f992b8,
+    0x9198d166, 0xeff22c2a, 0x0783dc0b, 0x6f1d7de8, 0x8bbaa6f0, 0xbb49a213, 0xeae1a8bc, 0x95714ba6,
+    0x47ad9925, 0xcfeaa1f2, 0xadbc7dbb, 0x2de3b47d, 0x28a9601d, 0xd36f962c, 0x13707db6, 0xd1338499,
+    0xc9ca5681, 0x94e63842, 0x27f636a6, 0x967341f7, 0x1e55ed58, 0x4100278c, 0xdcb4e137, 0x1cb60d45,
+    0x44fefe59, 0x2a089fa7, 0x498fabc4, 0xede6a53a, 0x63d6fdc7, 0x602ebc23, 0xa0fab0c0, 0x36b37102,
+    0xbee6fa37, 0x66a9df69, 0x6178cf4c, 0x0295e49d, 0x3e5bed78, 0xe0d61440, 0xecd3588a, 0x1d0475eb,
+    0xe9e161d7, 0x62a20199, 0x8ddb40d8, 0xc44a9379, 0xada959b6, 0x3cbc0a64, 0x5383986f, 0x651f17e5,
+    0x16e293ff, 0x98635cee, 0xfbb8c38e, 0x259301e5, 0x29c3064e, 0x2a64adf6, 0x91378b07, 0x90168303,
+    0xd2eeddf3, 0x4765dd73, 0xb9a23b89, 0x3491e625, 0x924071cb, 0xd631576e, 0x19324c5f, 0xf9f19401,
+    0x2f6dfdcd, 0xd66c7e23, 0x71316d29, 0x63da69d1, 0x72d35d5e, 0xc65c5fd7, 0x9499a3dc, 0x2ffa1fc1,
+    0x7c90eed3, 0xc3a3f5b5, 0x42616ccb, 0xf71c1970, 0x1e153e5c, 0x7d19d7c8, 0x9135ea65, 0x14258be8,
+    0x48479360, 0xc3fa284e, 0xa140404f, 0xbba5bc10, 0x88781169, 0x83db4bb9, 0x72deede9, 0xf923463d,
+    0x46bfae9a, 0xf4b766e5, 0x71df2b8b, 0x63edff0b, 0x236f14ad, 0x44396438, 0x6d0e54e0, 0xb2dd9b2b,
+    0x677ed800, 0xc81960d0, 0x909e99ae, 0x408808c4, 0x98e8a56b, 0x69a7727b, 0x374ddcad, 0x3f7889a6,
+    0xdfc08cd1, 0x7f6897de, 0x000f97e0, 0x04a7d0ec, 0x83acb7b9, 0x4b238820, 0xb8f07b1a, 0xd8549c28,
+    0xee2e16a7, 0x8f3c13d2, 0x7ed837f0, 0xc1e10f3d, 0xac892d94, 0xf1e830f7, 0x1da86e19, 0x08394755,
+    0x808cc50f, 0xdd4fa7f2, 0xb22e087b, 0x091c2f51, 0x28ffc6db, 0x9ca86956, 0xb2389e4b, 0x0da0da97,
+    0x75295035, 0x62010b77, 0x0b7ad00d, 0x32859014, 0x429feab0, 0x9bfd0231, 0xc3b427ff, 0x12fac5aa,
+    0x38b95835, 0x1b42b64b, 0x44db0653, 0xed3a7928, 0xa018269c, 0x02d4ce47, 0xe570819d, 0x73ebc5dc,
+    0xd7b04348, 0xbfecb3b7, 0x7025f4d6, 0xf00c5bb9, 0x1354f137, 0xf655f2f2, 0x84213566, 0x2dc7ba74,
+    0x9037374c, 0xc7abaabb, 0x872c4efa, 0x84766378, 0x0e0efac9, 0x24c717fd, 0xaacecee1, 0x871f418d,
+    0x454bed56, 0xc44ab8d5, 0xde4445f8, 0x4dcf48b6, 0x30528321, 0x85676c16, 0x58950439, 0x1c0e2ffb,
+    0xbb7bf113, 0xf9515c98, 0xeec88a65, 0x1851f1a9, 0x2339398a, 0x72f2279e, 0xaf76f43f, 0x016b5e87,
+    0x2ca49d99, 0x7320da6c, 0xc4e99b42, 0x26f6e166, 0x6490e30d, 0xcf0b5eb7, 0xa5e5009d, 0x2ec6deac,
+    0xfb5dcbe8, 0xfc20c2c3, 0x831c7273, 0x66934235, 0x882fa67c, 0x7d4654d3, 0x83e278a2, 0xe4ad3d49,
+    0x64e9342a, 0x6849bd05, 0x4813cb85, 0x91071e3d, 0xd778203e, 0x67b7c59f, 0xc1607f23, 0xc15850c4,
+    0xc6b52e82, 0xeda64a9e, 0x39614b65, 0x5b78589a, 0x11d47a2b, 0x701122d2, 0x5a1c0baf, 0x3bf11c82,
+    0xf943ba75, 0x9cc2b175, 0x77769754, 0x5c073af2, 0xa5b53d5f, 0x16906e84, 0x4d01d878, 0x336825c5,
+    0x816c2692, 0x17ba1758, 0x0070f7d7, 0x0c930597, 0x8f0177b9, 0x9a477c31, 0xde485487, 0x9b0a48d3,
+    0xe840ead3, 0x794e5f24, 0xe96b0062, 0xcfb14c9e, 0xd4bd2f31, 0xa43cb2f0, 0x51531618, 0xc10da06f,
+    0x1e8edc27, 0xc13c8af1, 0x20ef4c8b, 0xa8b3ef11, 0x0cb2bbe9, 0x651b7663, 0x030466fd, 0x11d57954,
+    0x15812822, 0x6a5a75ca, 0x7010b913, 0xcd154427, 0x6e7836cf, 0x10963b13, 0x8a308a7b, 0xe49ec502,
+    0xdc288b2b, 0x7180ee21, 0xa90e6a95, 0x7b08d367, 0xce677429, 0x90d66cd1, 0x4778e69e, 0xd923ec56,
+    0x01e9686c, 0xb2ea2808, 0xcf76f0ce, 0x271e375c, 0xef4caf82, 0x1ddc7741, 0xdfa6083a, 0xe8e633ab,
+    0x480b7f5b, 0xd42a1fe3, 0x8e6f0309, 0x6ea0e626, 0xb443bad6, 0x35dd244b, 0x561af726, 0x3c1a6301,
+    0xd6cd22d9, 0x61b48128, 0x2038f3ea, 0xbd3ef561, 0x1d4307fb, 0x7f0c1706, 0x6308eab3, 0xd220b50f,
+    0x6eff4671, 0x37a3de7f, 0x98ee8064, 0x312b6b20, 0x79f2caf2, 0xcd87ae51, 0x9592ce2f, 0x908e5223,
+    0xb6c77ce4, 0x82df56a3, 0xd2721368, 0x0e5cbecd, 0x5e0d4f00, 0x48f6d483, 0xe29f10de, 0xe1e1d87e,
+    0xdab7f972, 0x673c6e92, 0x3956c781, 0x3a5e1afb, 0x1e0fc507, 0xffdef98e, 0xa5f4a2c9, 0x6f7c5350,
+    0x3e0978b8, 0xa6e49b5b, 0x8cb4d71a, 0xedd97541, 0x8e20e85e, 0x1c46c4d1, 0xfdedc739, 0x2c9ed0d1,
+    0x607f8491, 0x60aafd5b, 0xd4439389, 0xc83841f8, 0xb172dba4, 0x511a13fc, 0x1e79dc3d, 0x1663b0a0,
+    0xe8414f39, 0xe04c3480, 0x540654b9, 0x60b52207, 0x914912b7, 0x2501cd51, 0x1eac224c, 0xe94c31ef,
+    0x1c9ea03b, 0xa602d035, 0xe43dfb29, 0xb3839deb, 0x781a77c3, 0x036c2967, 0x67989291, 0x85f235fd,
+    0x594a7512, 0x60adcd84, 0xeada0e91, 0x528e829d, 0xdbd74ae3, 0x87885c66, 0x4d82c520, 0x8a4076da,
+    0xb02178ae, 0xa3c00a93, 0x14d83bb7, 0x0b7ad016, 0x6c38c2cb, 0xd458ab5e, 0x2541d335, 0xe63da22c,
+    0xfcac9dd1, 0x7a29aa00, 0xd641901d, 0x5c2c8f92, 0xad0ba23a, 0xc500753d, 0x8b602ba0, 0xd40087b1,
+    0xd19f937b, 0x48abba8c, 0x34203ed0, 0x677b7953, 0xbc12453e, 0xf3ef71ef, 0x041daf77, 0xf25eb98e,
+    0x1ac65a8f, 0x0948fd55, 0x4c3d2c90, 0x2304ea2c, 0x4835c3b5, 0x8f607c46, 0x6fd22857, 0x4faa10b6,
+    0x39462542, 0x610a93e4, 0xabfdec3e, 0xf8209789, 0x33d205d1, 0xa2b5989f, 0x1ae6a40d, 0x4f99aaf5,
+    0x60409dcf, 0x19f45f1d, 0x91b1538c, 0x864f472a, 0xc0a1fe0d, 0xb5f6ab1a, 0xdb23cda3, 0x35ef52cc,
+    0x70718511, 0x00267896, 0x1bdb008f, 0x1a9b04d3, 0xb193f1f2, 0x1385e408, 0x8b15b208, 0xc06be689,
+    0xf12b23b7, 0x0d480ef6, 0x8656548b, 0x050b878d, 0x42f55070, 0x628fb501, 0x9fdb390d, 0x150e2946,
+    0x29c072f4, 0x4a74eb4c, 0xbcef0520, 0xbb44cd34, 0x4ee21a13, 0x27007b0e, 0x3234db2f, 0x0fd74c3a,
+    0x947f1eca, 0xb06d16e0, 0xdb7d1242, 0xbd3f0187, 0x32682e3a, 0xe88d372a, 0xd02c1303, 0x2b3dae5b,
+    0xb42606cd, 0xa41bd920, 0xcf967f12, 0xa57868e1, 0x0afa51f0, 0x3f99fb59, 0xa8fc51ac, 0x41afa717,
+    0xd0a00be9, 0x8658e3ac, 0xdbe44abe, 0xedfe9ff5, 0x89764453, 0x9cd1a83e, 0x696ab6d4, 0xa6952b46,
+    0xd78be0f8, 0x918a9738, 0xcfdc397b, 0xac81705d, 0x4afd370e, 0x6f80c205, 0x70d9e8ef, 0xf86e4321,
+    0x8e695f45, 0xba330dc7, 0x6cca234e, 0xec1dbe97, 0xbc9dcb2f, 0xc38aa574, 0x56605baa, 0x84827f01,
+    0x4670535f, 0xe237698d, 0xb5f122a2, 0xe9712928, 0xff33b42c, 0x3bda36e9, 0xd4ecf330, 0x22fe61f5,
+    0x25bb4556, 0x2cd0d933, 0x0e7ef2b0, 0x8d978292, 0x100ff0b1, 0xbd2a12d0, 0x21bece01, 0x3af5cde0,
+    0x0857996e, 0x83c95efe, 0xd44539f3, 0x691e4dca, 0x6f7ba93f, 0x74dcc55d, 0x9e81bc2d, 0x6263e2d5,
+    0x75d5e832, 0x4f6a74f8, 0x7f6d41b0, 0xa99f6967, 0xb78130ea, 0x052f002a, 0xf1b96c55, 0x4b355d73,
+    0xa67c5c9f, 0xfe7f6d61, 0x347ea95f, 0x8d251c03, 0xa0d2fd92, 0x5e517460, 0x8748d8fa, 0xcd8eeed0,
+    0x83de2edc, 0x3ffe94c5, 0x44f91270, 0x89cd253c, 0xd9a04859, 0xa06ea825, 0x84935383, 0x955afab5,
+    0xa7990552, 0xfc01ebb0, 0x9e8d2f64, 0x6d9c5bba, 0x38e49b3e, 0x823144fc, 0x4f66a18c, 0xabf41061,
+    0x20e2b20a, 0xc33d3d4d, 0x84ad36fc, 0xb5d341ff, 0xb838dad5, 0xdecfd785, 0xd658c927, 0x3f132f99,
+    0x9e9c009d, 0xfbfe13cb, 0x6839427c, 0x24761363, 0xe2f1ee11, 0x29fa0da7, 0xdcd5c771, 0x822b07fe,
+    0x3183f51a, 0x71eefd07, 0x8f10ad66, 0x4b5988e4, 0xccb9ba0c, 0x4d5e366a, 0x6887a076, 0x84981c0a,
+    0xda21cf9a, 0x6e8114f1, 0x61822bea, 0x135aa02f, 0x443b481e, 0x9d6f5aa0, 0x64287d02, 0x2113491a,
+    0x9cc2638f, 0xa08f1f84, 0x954f3247, 0x9e5b5fdb, 0xa19f2b72, 0xba092b06, 0xcafb05e0, 0xdd859259,
+    0x8c2dee35, 0x35240e50, 0x65511655, 0xc07b09ee, 0x28559aa0, 0x97b967ab, 0x713a5d3d, 0x121ed80c,
+    0x4d8a5975, 0x62e0d525, 0x4b5632fe, 0xde4da4e1, 0xe5a21b66, 0xd0c8ad5a, 0x7674bbe9, 0x1ff4a9a6,
+    0xcb1c4d74, 0xc23aac01, 0x6801ebfd, 0x0de8954d, 0x837b281f, 0x1c2e11d5, 0xffa39394, 0xd5e0c1cf,
+    0x3a30aaa1, 0x71641ba2, 0x501dd244, 0x6adc77e4, 0x6b25692a, 0x2933f20d, 0x7f6c01e6, 0xe4659b44,
+    0xcde1e50a, 0x8f4c50c6, 0xf209121a, 0x89348510, 0x4fccdcd3, 0x93d792b7, 0x32e9105e, 0x054c88d7,
+    0xb8eb0ba7, 0xa1625be3, 0xe1d79305, 0x2c7606b0, 0x3a3a2682, 0xbed1edf6, 0x5d03e469, 0xa0ecf243,
+    0x198527be, 0x0690f80e, 0x5844c945, 0x0f1205cc, 0xe07ca0a7, 0xfc25bf1b, 0xba9b0157, 0x72923efe,
+    0x8efa67db, 0x0865e85f, 0x179b3ec2, 0x6b37be27, 0xac48ecd9, 0xffb0c94f, 0xde1e86ef, 0xd3a34188,
+    0x55c10fbb, 0x58e74f3c, 0x8d0c85c8, 0xcebc73ce, 0xaa741a91, 0x75b2430c, 0xc75a250c, 0x296b7e7b,
+    0x836a35c6, 0xd50b5cd9, 0x1fa20f2a, 0xffb96811, 0x7850d720, 0x2f465ce9, 0x35829871, 0x5a02b320,
+    0x0cb71951, 0xa8e31a5b, 0x98f80cf1, 0x153faded, 0x4f1fb370, 0x74bd14bb, 0xd2863dff, 0xbc123142,
+    0x76011f9e, 0x51f88a4f, 0xa921a825, 0xd8b6c2af, 0x0c62e44e, 0x0d50d43f, 0xc56c75fc, 0x32435f91,
+    0x04d06524, 0xd582e793, 0x241d22d0, 0xcb3ec7b7, 0xdd8c7767, 0x98029883, 0xd99dd417, 0x7756b3ec,
+    0xb3ee5a12, 0x27788ab8, 0x227e1b0f, 0xbf2974dd, 0x7e32d690, 0xdfaa4bdb, 0x6f5a4357, 0x734a8b9f,
+    0x8cff30bf, 0x9fec8bc5, 0x95a12b1d, 0xeb504461, 0x0e559cb5, 0xb8fb57c5, 0x4f22f358, 0x2d233507,
+    0xea44581b, 0x8316f8d6, 0x1a2e0ae1, 0x2bcfd514, 0xe75716f3, 0x163904ff, 0x14773d50, 0xe2a2703e,
+    0xfd6ddb03, 0x8d66c8c0, 0xc04f04cd, 0xb56928a3, 0x9ec54680, 0x1af5d7f1, 0xea0dc4ec, 0x6c58aa63,
+    0xa5d0de62, 0x00e3d94f, 0x0915d4d7, 0xa7dbb9d1, 0x3261e9d0, 0x1f0ff126, 0x8ce75a7c, 0x036e551f,
+    0xd6b8d101, 0x8190e652, 0x23fee4da, 0x7280ad2e, 0x9f2d3260, 0xf43d469e, 0xdb933333, 0xfa332858,
+    0xc87224e5, 0xfe371133, 0x6dbec7fe, 0x2a996211, 0x2e51c3f3, 0xccccecfa, 0x8c7b2e6a, 0x86a265db,
+    0x62692d5d, 0x24433183, 0xe5348808, 0xe78c505a, 0x68e9602d, 0xb9392eeb, 0x171d19d4, 0xebb3b39e,
+    0x667a9e9a, 0x0a97b562, 0xaa741610, 0x6afcabe3, 0xeca0a2b2, 0x749c5593, 0x69976041, 0x32702e53,
+    0x47299343, 0x29b577d1, 0x87b8a6d1, 0x7528d1d0, 0x64ca9ff3, 0x8bd71505, 0xf1e26d6c, 0xd7fd31be,
+    0x2458dd43, 0x635e5d9d, 0x2054ecca, 0x9f7d2ff6, 0x73450b65, 0x1ea411b9, 0xd2da9bdc, 0xd4252239,
+    0xd8c7628a, 0x4207ffdc, 0x4bcc1f9f, 0x1f76db44, 0x6cfa14fd, 0xe61ee8e6, 0x7c0c9419, 0x718f1630,
+    0x86d65051, 0x3b5eab02, 0x226647da, 0x04d8d8bf, 0xf25142f1, 0xbbb5f385, 0xb4c453a9, 0xfcb7a412,
+    0x31a83d77, 0xd9333031, 0x2c41a79b, 0x20b0ad68, 0xd40e4e0b, 0x18f42eee, 0x6b071061, 0x3c09d5f1,
+    0x3c9a1d48, 0x7786becb, 0x058eb5db, 0x1e4387d1, 0x9e38934a, 0x8bced608, 0xbb55500a, 0xb4de6235,
+    0x641c7300, 0x4107056f, 0x1f32a64c, 0x8c1637e6, 0xb70b028b, 0xb1e165b0, 0xc3d7996f, 0x1883db7c,
+    0x8af5256d, 0x472967c0, 0x13f67acf, 0x723b5028, 0x69ce9b9f, 0x0d6e8fde, 0x817957f7, 0xb62ff4a5,
+    0x2737c5c7, 0x6c76a5e6, 0xcb8df889, 0xd23ee0c7, 0xbf5ccb81, 0x7dd58971, 0xda880aa7, 0xf1c9b143,
+    0xcad0fbfd, 0xda0b5721, 0x48ba7a47, 0xafdbe363, 0x85814983, 0xcba81e56, 0xfab4ac45, 0x0b4fbe54,
+    0xc0a2fd4c, 0x740d9257, 0x6f693113, 0x1a60d069, 0xcd5a7b23, 0xa7c82930, 0x6bec5d58, 0x9a1a9292,
+    0x85ce5cb4, 0x8bb4c25f, 0x310e853c, 0x86f25717, 0x23bdbb43, 0xf32ac87d, 0x7026e104, 0x6bc29bb0,
+    0xad63046e, 0x25a61ab2, 0xc2eccf98, 0x5659a640, 0x4e1e237b, 0x2dae91bf, 0xb401f46f, 0x638629bb,
+    0xf5485716, 0x30a50030, 0xf4b69a10, 0x403dfd2c, 0x6d9f323b, 0x9ee1d40f, 0xc1e3472e, 0x7aeb77bb,
+    0xa3717fe4, 0x9e97cb62, 0x6e104944, 0xa81ff4d3, 0xa8c1bcbf, 0x64f661e3, 0xa78a1448, 0x978db683,
+    0xd53ea63f, 0xf19bf4ea, 0x64ce8419, 0xdb4c19da, 0x1e1cafa8, 0xfab8048a, 0x4c5f988f, 0x1deeec59,
+    0xdbabf112, 0x29ddcd0d, 0x7821c447, 0xfc7bb593, 0x695cab83, 0x8737fdcd, 0x6262474a, 0x88dc428c,
+    0x00000000,
+    0x042c455b, 0x4c5f335e, 0x6fefa30f, 0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81,
+    0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000002607406049708142\
+                          19042361048116400404614587954389239840081425977517360806369707098391474864128 */
+  { 0x00000000,
+    0x33a55b30, 0x2dfa2c7a, 0x29db5b8f, 0xdc205b5f, 0xf949d6b6, 0x71ebaa9b, 0x8fcb33c3, 0xa2dc2d92,
+    0x10667ff7, 0x0f1a6344, 0xb8311337, 0xc4a9956a, 0x84f43456, 0x21f02b14, 0x1d76b31b, 0x0363acbe,
+    0x9a7f45bb, 0x52eed008, 0xbe9a1a6d, 0xcdd6f55e, 0x875df2c5, 0x5c994447, 0xc44d62c7, 0xea2baff6,
+    0xa2c609cd, 0x7de2cbd4, 0xfc5fbf4e, 0x567f851b, 0xd70e621f, 0x2965b1a5, 0x22157751, 0xca6ab1b8,
+    0x97e348a1, 0x5cd0f602, 0xf6da3e3b, 0xde3d1b9e, 0xf2d63ba7, 0x6745e67c, 0x07cd1cdc, 0xe62ebc0f,
+    0x9dc0c995, 0x564241ac, 0xf37bb3a8, 0xaa9f5f10, 0xa84eaa37, 0x59547195, 0xe82c5a59, 0xbc1bf5ae,
+    0xcf11e8b5, 0x0120e208, 0x49274095, 0x8fd63266, 0x64444bc8, 0x56a1630e, 0x92c6c1ac, 0x4b9a2af3,
+    0xc500608b, 0x78a6abb2, 0x039fa5b9, 0xeaad2915, 0x0c411788, 0xbae3eb72, 0x29ce1533, 0x5400940c,
+    0x6a0d213b, 0xbee67007, 0xce73cf74, 0x0d224305, 0xcbe6f0bf, 0x1180c828, 0x8389def6, 0x2fe5cc47,
+    0x7ba0e162, 0x56b4c216, 0x1007defb, 0x305a9497, 0x0268cb67, 0x7ea6df43, 0xd4236d4e, 0x0937a4bb,
+    0xe27700cf, 0xaa370ae7, 0xb67d84e3, 0xb446ce1d, 0xadfbd17a, 0xae4a9693, 0x2da01238, 0xf556d75c,
+    0x0b54fe06, 0x99c4e533, 0x564e91c4, 0x9a42e8fe, 0x355a09a5, 0x012fb146, 0xe51ad6a5, 0xdbd46627,
+    0x98812f8e, 0xc4ffd97e, 0xf61f2bde, 0x032462c5, 0x41c94358, 0x60a0b9f2, 0x10936558, 0x4fdea9e6,
+    0x44cf3678, 0x24b47b08, 0xf473e99e, 0x873b9151, 0x07563b3a, 0xada01d5b, 0x3a85469c, 0xab38f142,
+    0xf566b026, 0xdca99f34, 0xafd04bc1, 0xa4173052, 0x38858b92, 0x0faa3d78, 0xdde138bf, 0x15595643,
+    0xdeaf242b, 0xf3e3d0dc, 0x6b3da36e, 0xbee6a165, 0x8232c448, 0x2ea56ae5, 0x1491fcb3, 0x25489f74,
+    0xb680572e, 0x7da79925, 0x239987c5, 0xb7ebf35a, 0x239d8549, 0x81ca3e62, 0x96a7a3d0, 0x50aa53df,
+    0x1710d11a, 0xf309bda5, 0x26871bc4, 0x6de9f4ec, 0x60070504, 0xaa5ee351, 0xe33e1dc3, 0xa98fb6e1,
+    0xc43a986c, 0xa01bf2d0, 0xee7475d3, 0x8f84e280, 0xa7cc335f, 0xde34255d, 0x25b95c43, 0xb92f1b77,
+    0xb51b1eac, 0x7cdd0400, 0xd399cfa2, 0xdc4c8cd4, 0xfca7f95b, 0xe8cda21c, 0x66c1373b, 0xca8f3aed,
+    0xb5c57fcf, 0x616dcd8a, 0xd50647e8, 0x516d9c4e, 0x3f35a1c2, 0x7c14990b, 0x814ed074, 0xd96511b5,
+    0x5def84e2, 0xa74cc569, 0x59ad91c6, 0xe1980a43, 0xa096a790, 0xcf2ed29a, 0x0e7c2db0, 0xe39fa96c,
+    0x20dbe26f, 0xdf543c06, 0x4742afef, 0x3e4d1028, 0x5aced1db, 0x32e6b56b, 0x893c8b2a, 0xfebe8378,
+    0xa15b648f, 0xac26c171, 0xd6bdb33c, 0x9e931165, 0x85924347, 0x3dacb01a, 0xd146a121, 0xe2b0c5b6,
+    0x2aed3964, 0xa366e68a, 0xcc63621d, 0xcefea85d, 0x5f009dba, 0x4b90ccee, 0x76561bb2, 0xd5e8419f,
+    0x90687420, 0xee38de3d, 0xea82800e, 0xe0ade8e2, 0x720a3d2a, 0x48a0590b, 0x3ed6e4d1, 0x8c542742,
+    0x66e78c82, 0x7eaa1308, 0x2006685f, 0xbd722c2a, 0x070bb71c, 0x94f924ec, 0x2b7ae4c5, 0xa27d8e97,
+    0xf00dff83, 0xf7d70faf, 0xe12f8209, 0x262c45a2, 0x3a1c3bc6, 0xb930944e, 0x15ae7fa1, 0x8070e650,
+    0x02603abc, 0xae8ee80b, 0x2fe8bcfd, 0xe9c67b07, 0x3bda4989, 0xc61a089c, 0x71ec09cc, 0x3d11272d,
+    0xbc5adbf0, 0x961b0d2c, 0xc95d8d39, 0x75820860, 0x9344730a, 0xc1d725d3, 0xd14477b4, 0x53e1f87d,
+    0x378ddbc1, 0x0c832ece, 0x50addecf, 0x6bcd0dc4, 0xee8cd6af, 0x001ba068, 0x99303c46, 0xa3eee3c5,
+    0xb5fe2003, 0xff5c4993, 0x6d7a1ac1, 0xe69110e5, 0xb178766a, 0xbffb9513, 0x7d2f4b25, 0x36d7eca2,
+    0xb156ab24, 0xeff8bdba, 0x71794bf0, 0x743da126, 0x6d15ac80, 0xd2dc2e36, 0xdcd73d71, 0xa9a74d93,
+    0xc14e2103, 0x3e365ba2, 0x8a75d5b0, 0xd0c6d074, 0x4323370d, 0x403d1325, 0x7e110d5a, 0x3794a562,
+    0xa59f3aca, 0x4e8d62ae, 0xe3851daf, 0x1834ef6e, 0x644cd06f, 0x5c2e3fe3, 0xac9c100d, 0xc7f2b35a,
+    0x440b6e7a, 0x3b527968, 0xd0f965ab, 0xffeac0d4, 0x514853c3, 0x56263005, 0x9be3ff0a, 0x4ad05703,
+    0x7dea1a78, 0x6e9a0221, 0xac9f8a87, 0x9602bd9f, 0x19b80b9d, 0xd5d1412f, 0x16912685, 0xe1747687,
+    0x25a60ecb, 0x4bea245d, 0x5bf251ed, 0x1a9f0193, 0xabf3fded, 0x7e504d4b, 0x92dd4e48, 0xef55e435,
+    0x9c5bf4bd, 0x8921c306, 0xb8cdeea1, 0x9c831d61, 0xebfcc483, 0xf109397c, 0x9c0376c9, 0x5f34063e,
+    0x6248aebe, 0x91ef5cea, 0x8baeaca2, 0x361f1830, 0xcceb61a7, 0x42079458, 0x7343a298, 0xe4e468c7,
+    0x3315acc7, 0x62564f76, 0x5f921263, 0x1ef4b56f, 0x2964a453, 0xd0798d5c, 0x2c47bf78, 0x15c19c9c,
+    0xefa628e9, 0x7ef9bf19, 0x7afa9b0b, 0x62b24aa0, 0xa0191b38, 0xb69444ec, 0xd5c83610, 0x60133e62,
+    0x88d5ebc1, 0x60a3ddeb, 0x9e72821e, 0xed23138d, 0xbd22fbbc, 0x29b3b088, 0x3d1786e0, 0x8f91f38d,
+    0x182e15ff, 0xddf52329, 0xef12093c, 0xa8676fe9, 0x1c04244b, 0x4926fc9c, 0x5b60e0ac, 0xff3532da,
+    0x921179e8, 0x953ecc30, 0x430fce86, 0x56cc7a36, 0xb820db95, 0x023d3b0f, 0xdcbb0b5e, 0x038302f5,
+    0xc86a1ab8, 0x8990538a, 0x13cd7c9b, 0x21f9c4d6, 0xa52964ae, 0x52ad1a3d, 0x5abecf64, 0xafaf21f1,
+    0x7ea60e34, 0x0d98531e, 0xea00f3fa, 0x9c99c5ab, 0x5f355142, 0x599a75ab, 0x1e6c68c2, 0xdec33493,
+    0x1099c4e3, 0x90b2601c, 0x12446c85, 0x1801aa49, 0x70d1b3e5, 0xa93a1689, 0x612ea9fd, 0x102413ae,
+    0x3150f2dd, 0x15a5c00b, 0x1201a6b6, 0x269a4b69, 0xd6578caa, 0x29b15c59, 0x56f49a1b, 0x15e31bd6,
+    0xb283bf68, 0x1154c6c1, 0x968d0579, 0x16eb67c7, 0x9a5e83ac, 0x2a8ce16b, 0x868cbe64, 0xaee873b8,
+    0x8cc3d726, 0x546f69f8, 0x44b77871, 0x42702a7f, 0x75b36361, 0x548ec512, 0xa7d254fa, 0x65249036,
+    0x06700db1, 0x60c2761a, 0x081811b9, 0x943391aa, 0xae839c77, 0x0bef1421, 0xb3a5a9a2, 0xf7cd6c7b,
+    0x278a083a, 0xcad9825f, 0x7f87421a, 0x98360e2c, 0x4b130028, 0x4e256cdc, 0x47b3f6b0, 0xfe736c8d,
+    0xf09bbe90, 0x7e993bb9, 0xb320ae8f, 0xc1e6cfe0, 0x71caf02b, 0x788c4c36, 0xbc96864c, 0xefaf8ec0,
+    0x545afcc5, 0x1c3253bd, 0x0907cfb8, 0xae10c719, 0x7c46700f, 0x61b26747, 0x997ce334, 0x066c742b,
+    0xbd235be1, 0xeaa0e71a, 0x2136b317, 0xe39d8f30, 0x3bb98325, 0xf4d69678, 0x2e298061, 0x344aab0b,
+    0xc124ca4c, 0xcbdf1888, 0x6c3d237e, 0xa747730d, 0x8062e055, 0xa0b1d124, 0x83578dfd, 0x45304b72,
+    0x89635f4c, 0x98728026, 0xbad7a217, 0xa9b07e5c, 0x6c75d988, 0x9448d168, 0xa33b0ff9, 0xe2524c1f,
+    0x52cfaf96, 0x9e769f26, 0xef3a4caa, 0x8f81ebca, 0x8db0191c, 0x562861c2, 0x93642ccb, 0x7aed7807,
+    0x27963481, 0x4243f0df, 0xc5682bda, 0x53c95ab9, 0x55f8ada6, 0x5ae2b463, 0x3d5da0c2, 0x459348b4,
+    0xf6ab8a94, 0x3dc5ff8d, 0x79d0f9b0, 0xdd8a3139, 0x2144dc5d, 0xc6cef5a3, 0x592b271f, 0x35f4fe27,
+    0x91c1757b, 0xd95c40f9, 0x41f8aab5, 0xa476b8d1, 0x4f5aeb0c, 0x31cf8ce8, 0x0133aec5, 0xa01cb5c4,
+    0x9a0e37dc, 0xdb96f388, 0x2d97291d, 0xbd7e4eba, 0xcc083667, 0x47fb75d2, 0x50342374, 0x9f6a28cf,
+    0x80745938, 0xc6a99a47, 0x1b95c14e, 0xb3d78012, 0xae2c9aea, 0xae9d4455, 0x82debd15, 0x625de1b7,
+    0xd9895637, 0x2b135237, 0x8365c970, 0xf6d301c1, 0x10ba6063, 0x64813fe6, 0xe435fa74, 0x927479ae,
+    0xc94cfafd, 0xd0c5f9a6, 0x4d1b1896, 0xa9a2994c, 0x21c6c217, 0x9951347b, 0x302b78a9, 0x01d5e854,
+    0xa495bbc3, 0xc4766c08, 0x21b7f862, 0x33172435, 0x892b6639, 0x59cc02d3, 0xe846387c, 0xe6b9e922,
+    0x107e629e, 0xae1299ee, 0xf5f910cc, 0x1b72144c, 0xac0b0a0b, 0x53be4282, 0x16eaa1da, 0xa0544b3c,
+    0xdeb625da, 0xeaa7f669, 0x82f9acce, 0x84926d1a, 0x458a18be, 0xbc30cf96, 0xf89e4daa, 0xcecc3f84,
+    0x43815bfd, 0xcb8222b9, 0xea77782e, 0x2de0cf69, 0x00e31c2c, 0x540f2935, 0x630175aa, 0xb819977c,
+    0x95aa73da, 0x99972cdf, 0xa1b12370, 0x1ad7a9bb, 0xda060df2, 0xe9c5c986, 0x35e693c9, 0xdd469ffc,
+    0xc4be2c65, 0xd301c211, 0x5f0731f6, 0x17cb8472, 0x8123b354, 0xd3978728, 0x0778c774, 0x5299ca4d,
+    0x7991b3dd, 0x853c4f4c, 0xa3d3e228, 0xabffa149, 0xb68dbfd1, 0x559b7d85, 0xedf741cc, 0xc312d0a7,
+    0x690c7f47, 0x7ff4fc4f, 0xb0a1a3c3, 0xf104eb8b, 0x2dff79f5, 0xc870d279, 0xafcd73c6, 0xd6b43af6,
+    0x8eef4cca, 0x0fe7a72e, 0xd2f723b7, 0x7b979eb3, 0x7bbb6a59, 0x1f70eca1, 0x95b7527a, 0x00dc3221,
+    0x1d77e59f, 0x7ea75c90, 0xd22f950c, 0xae1d5c72, 0xf83e66e5, 0xe3a7e366, 0xedd97e83, 0xafe60d5b,
+    0xf55d5eca, 0x87d68519, 0x3f013f68, 0x7e3c1a45, 0xd7355b02, 0x55ff5308, 0x0d3aef32, 0x70fe87e4,
+    0x2d4ce568, 0xe4bf1b8d, 0xd7d263eb, 0xdf6dd268, 0xf030ad34, 0x8122bd82, 0xae3d028d, 0x4d19033a,
+    0x641dd1f5, 0x556ffbfe, 0xbdce4405, 0xad95d108, 0x9b21929c, 0xc402b95b, 0x671798b3, 0x4cd95b6c,
+    0xec6c207c, 0x86e75f47, 0x3c2fdb44, 0x60b3ccbc, 0x2e3e3b9f, 0xed1474c9, 0x9e01a188, 0x6bbc747b,
+    0x321c585a, 0xbb8dd752, 0x2b4ea86d, 0xa33d98bb, 0x7c751684, 0x03300ce7, 0xfc6cae2e, 0xd8fe6535,
+    0x2a8a2c73, 0x7e6473a2, 0x9c26f191, 0x2701ab94, 0x59269d29, 0x4839d63f, 0x888e7b65, 0x49cd7b3e,
+    0xe3546096, 0x1091131a, 0xcd6946ea, 0x01f46bbc, 0xe69f2a25, 0x4685b346, 0x5f74e47d, 0x5f5d3772,
+    0x01653092, 0xb8c2a4c5, 0x763c7580, 0x589b4cd4, 0x290f4bed, 0xe469d3fe, 0xde075dbc, 0x5c950316,
+    0xb0d3e049, 0xc4886df2, 0x6db45548, 0xc5805bd2, 0x896fbdba, 0x7f1a2cdb, 0x21a1cc2a, 0xcecb3613,
+    0x92483cbc, 0xa2eb6672, 0xa055db13, 0x7e8eecc5, 0x4fbc57df, 0x838d795e, 0xf6cb6657, 0xfbf4e0db,
+    0x0726a0a5, 0x65da90d2, 0x6625483d, 0xf94d40e0, 0xfe30feb8, 0x4b88bb0c, 0x558cda4b, 0x8ddd2e59,
+    0x02850391, 0x56b6f034, 0x54bbdfa5, 0x2e83c71b, 0xab2ffe27, 0xa914b9af, 0x6433434c, 0x7ea604bc,
+    0x73773262, 0xf1294242, 0xe15ac80e, 0xa37fa3f3, 0xd2a2402f, 0x3eaf830a, 0x972f372c, 0xe22db0c5,
+    0x29409464, 0x518e6996, 0xd1292136, 0x82f6a157, 0xa3953b70, 0xeb29751f, 0x5a6d6307, 0x5516bf70,
+    0x1b13388e, 0x52ac373e, 0x6e36c143, 0xf98166a6, 0x4fd9554f, 0x6f5396fc, 0xdfeae202, 0x3798f709,
+    0x60420064, 0x6a78b563, 0xd47d8d12, 0x954432b7, 0xdd8668c2, 0x3c1b31fc, 0x2b3911ab, 0x38038bb2,
+    0x5e7aba43, 0x29c2f137, 0xf64203c9, 0x4b7dac37, 0xfe88e0a5, 0xb39ca5c7, 0x88143244, 0x95b67bc6,
+    0x14b8ec5a, 0x9249995c, 0x2271b5df, 0x2ea1cf01, 0xd10ac24e, 0xb210fbd6, 0xb803c748, 0x7ff458ed,
+    0x5ddeefd5, 0x876c7557, 0x7da02572, 0x4144120b, 0xf8d5a59a, 0x3c3a9a1f, 0x93c95cf9, 0x13a03873,
+    0xa22792bd, 0xc0f79751, 0x8415f87a, 0xf8358855, 0x12d866b1, 0xea58754d, 0xb54ae0e8, 0x7a825ecf,
+    0x46f46888, 0x146792fe, 0xc4fa1cad, 0xb4bb9a6c, 0xe11f51af, 0x2f6b8d39, 0x0d9ce69e, 0x8c3b96ca,
+    0x495b72bc, 0x92277aab, 0x469c4dd7, 0xc66c19ec, 0x25421cd9, 0x185fd202, 0x5d9dd6ee, 0xdfacdd51,
+    0xe9d06e30, 0x8c6c4d5b, 0x90229f5f, 0xa2c47049, 0x98a6a039, 0x97280f8f, 0xefad3931, 0xf06eaf9c,
+    0x16d37941, 0xcdfc3a75, 0x2b59e30f, 0xd91feac3, 0x7e21b5e4, 0x91450dd8, 0xf9e4ba43, 0x3a2cf0d5,
+    0xbb0d3436, 0x97643748, 0xb59419e0, 0x958feccf, 0x3816f267, 0xb629e2d8, 0x507e3801, 0x316b623b,
+    0xe9800413, 0x6db0a3d0, 0xabc275a5, 0x5405cfc5, 0x51e59ade, 0x01c4bdda, 0x27d01901, 0x967f4657,
+    0x8d06d167, 0x0342c44f, 0x8c82413f, 0x13fe9507, 0x117dbfee, 0x7c7fe1cb, 0x491bf96f, 0x90c743ce,
+    0xa0f91d3f, 0x89fadf26, 0xd7138bac, 0xeeeca46c, 0x011ea5c6, 0x2ba5f394, 0x9b4008cd, 0x7166d3bc,
+    0x82a102d5, 0xefe90873, 0x81ea577a, 0xc8e86a68, 0xf704a28f, 0x68defcfd, 0x17f0be02, 0x9feb0812,
+    0x8d150203, 0xca9a3500, 0x7417245c, 0xfd0b3b4a, 0xa845aa7d, 0x0adf5bd4, 0x03950a78, 0x2bd71724,
+    0x527ffc96, 0x0f06086e, 0xc70f0fc5, 0x3127c1a9, 0xf11af71a, 0x7d749628, 0x36050524, 0x68d93c74,
+    0x0883053b, 0x16636eb1, 0x9906a03e, 0xe8ad3eb6, 0xa45fdcaf, 0x43e05b8b, 0x44ab5c83, 0x51d2d4c4,
+    0x48080ca4, 0x0c5c6399, 0xc3707697, 0xcc13a5e1, 0xce4758e9, 0x0b482502, 0xf617bbf0, 0xa284e121,
+    0x3218b963, 0x7f2e9a11, 0x1669be78, 0x9e9d74c0, 0xd2319c25, 0xd39c5f5a, 0xefe7432f, 0x2ff6a307,
+    0x6f072804, 0xa09dc5c5, 0x7012faba, 0x8056b2e2, 0xe3847d34, 0xc902f755, 0xbac96841, 0x3c11c748,
+    0xa2082b54, 0x016c73f8, 0xe0bb0544, 0xe5fdad56, 0x3c936329, 0x642d12e9, 0xb0bb78d6, 0x711e8e28,
+    0x7fdcf5b6, 0x22ec58a7, 0x1910271f, 0x62144d62, 0x2047020f, 0x3eb7eed7, 0x49aa6662, 0xb231c2ad,
+    0xf6b8397f, 0x74069e0d, 0xd49f8c46, 0x44156b3f, 0x6371f38f, 0xa087732f, 0xf43c6223, 0x1dbdd6c8,
+    0x507c740a, 0x2795b649, 0x9ff1c512, 0xc71fd3cd, 0xa628e486, 0x3e2f0400, 0x632026f5, 0x6fad5316,
+    0x9dc4dde5, 0x459e389a, 0x139da343, 0x41997b6b, 0x2e5ef833, 0xef0cac0e, 0x5b4511d0, 0x921c5076,
+    0xb348d76f, 0xf5f8f164, 0xbd33b96b, 0xb1823d74, 0x4dbdd1da, 0x5d51e434, 0xea0698f6, 0x1cb748de,
+    0x64ed7983, 0x333bb331, 0x3fc61341, 0xeed05eaf, 0xe53412ce, 0x674da409, 0x212554f0, 0x0c99b2a6,
+    0xa6e76fee, 0x4924fa6c, 0x13a65e20, 0x25ed9352, 0x8ac0edd4, 0x26afa97a, 0x7e74382d, 0xe8006279,
+    0xe749b5d2, 0x9aa5c413, 0x2f6bf47d, 0xc4173ed3, 0x708550b5, 0x88f81390, 0xb9adbccc, 0x06311d80,
+    0x2f69d06f, 0x3dd35455, 0xb87bc83a, 0xa28bf976, 0xfd928226, 0xba85f9bb, 0x1d0461eb, 0xa79c8e9e,
+    0x7c4195ed, 0x92e9473b, 0x8424157c, 0x725d75a6, 0x5716bb66, 0x55f79e9c, 0x2e527e87, 0x4a63424f,
+    0x737b26df, 0x2fa2f08f, 0x4c0a6f79, 0xe39c816d, 0x58bcf01a, 0xd964e32d, 0x4baacdcb, 0xec919486,
+    0xebc84869, 0xced93df8, 0x32582a22, 0x54c7a3a0, 0xab1f0009, 0x510e84e0, 0x121c389c, 0x98ca30b6,
+    0xdf841b77, 0x4b217526, 0x351c5ed8, 0xe534b0fc, 0x512667bf, 0x55b1b741, 0x3cf499f1, 0xc894d597,
+    0xc81acf99, 0x1b6dd660, 0x8a403fdf, 0x8fd0ab1e, 0x4e131522, 0xed7bb8dd, 0x646fb20d, 0x845b2794,
+    0x00000000,
+    0x021622ad, 0xa62f99af, 0x37f7d187, 0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40,
+    0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000001303703024854071\
+                          09521180524058200202307293977194619920040712988758680403184853549195737432064 */
+  { 0x00000000,
+    0xdd2c50c5, 0xed04349b, 0xcc4783be, 0xb3c6564d, 0x6b7a5b4b, 0x93f28f3c, 0xbbfb2ca4, 0x01e3f4ab,
+    0x968463eb, 0xac0a68d3, 0x51dac2fd, 0x1c797c62, 0xfa351089, 0xcd86dd19, 0x93e82ee2, 0x775333f7,
+    0x90a8cdb0, 0xeb2860f4, 0x8c64ed62, 0x3c1bbe5a, 0xd3f956bb, 0x835a2922, 0xdf4ba98b, 0x14305516,
+    0xa85117fb, 0x8421eefb, 0xf7377462, 0x46ebc9a5, 0xf46e25f9, 0xa740859d, 0xc89a356d, 0x62f28dc1,
+    0x2bf60d31, 0xb80cf91f, 0xe170e684, 0x0c097fbd, 0x5824bc8e, 0x8f1ef347, 0x6b7e21b4, 0xfcd465a0,
+    0xaa42b7ea, 0xc7b596c3, 0x7fe75aba, 0x91c2d42f, 0xe88c422d, 0xd6b2044e, 0xa0bcdcf5, 0x80ef3dcb,
+    0xc2940892, 0xfe73d06d, 0x0558d0a1, 0xddc49c4d, 0x2195021c, 0xa821f36a, 0x8abade3e, 0x178e2398,
+    0x332f6a8a, 0x6585f636, 0xbe69c0dc, 0x10f7b989, 0xfd0de98a, 0xc4c833ed, 0x12729f87, 0x2fd95889,
+    0x9206ee1c, 0xcf92e228, 0x569c638b, 0xcd721b02, 0x91b05240, 0xa96f3de9, 0x9faec12b, 0xce9d4789,
+    0x06c4c5e0, 0xc0711eaf, 0x5196d24e, 0xa83567ee, 0x3f4939a0, 0x71ae6705, 0x6d577505, 0x5a1a050a,
+    0x9b4f68af, 0x13c852ba, 0x11fc683f, 0x1afd10fa, 0xf61d5c38, 0x4951f319, 0x79ff1cae, 0xb9127dc1,
+    0x117e0375, 0x5ef79de5, 0xdb015bfb, 0xb85e9ef4, 0xbd58ee5a, 0x079811ba, 0x409b359c, 0xf1b89ed1,
+    0x06fa60a9, 0x409c474a, 0x391ce82c, 0x46c56bd2, 0x0e7d0b40, 0x1cbc4f78, 0x025b9885, 0x03ab93a9,
+    0x17d771fd, 0x95ddb5d7, 0xc83ee015, 0xe132e398, 0xe09ed728, 0x79f4361e, 0x17f0aefe, 0xf786a910,
+    0x1da3f255, 0x1ddc6830, 0x92d93132, 0x37698cbc, 0x1d382c0e, 0xdd90858b, 0x58b31f3a, 0x6c432182,
+    0x92d1b6af, 0xcbf83544, 0x38cbf1f8, 0xf5003232, 0x4788ddc2, 0xa7f92ee8, 0xcf85c141, 0x264cfd50,
+    0xea831f4c, 0x37da1a85, 0xa025ae8d, 0x758db926, 0x136ed29f, 0xc704ace1, 0x91be6d73, 0xc14f11ca,
+    0x65159a58, 0xef6bc477, 0x5df87925, 0x94af3bb7, 0x8a0dab50, 0xba4d776e, 0xc217192b, 0xae40e6ca,
+    0x0915f66f, 0x2c84b557, 0xdcdb0fd1, 0xc5ea8550, 0x334c4e01, 0x66ab9ae9, 0xb8d8af7c, 0x3ef77d5e,
+    0x34c4452d, 0xcc77b349, 0x432bc201, 0xcb63082a, 0x602aa228, 0x722c9b4d, 0x433d3758, 0x414b31d6,
+    0x88eb25f1, 0xbb8a926a, 0xcb0dd607, 0xdb9ffd74, 0xf21b367c, 0xd555cbf7, 0x604a3e53, 0xe5c0a427,
+    0x82c93a4f, 0x20513896, 0x1faa9fe8, 0xf1b7ee30, 0x847d8de8, 0xbb4635f4, 0xc8080039, 0x2efa52fe,
+    0x59b6b7b5, 0xbd44cc63, 0x8bec55ba, 0x6261a716, 0xd9b766d9, 0x0ce69420, 0x3089477a, 0xbba6e513,
+    0x64c94728, 0x49107f42, 0xe3abcef2, 0x1e80a0cb, 0xc654826a, 0x46836172, 0x02342381, 0xfa7cb641,
+    0x367eea84, 0xd605f46b, 0xafc1fa33, 0xea7435dd, 0xd7b68d31, 0x2a1927cc, 0xdefd136c, 0xae48d781,
+    0x7eff67e8, 0x67c48abf, 0x789aefc8, 0x357ffb63, 0x0ee3f553, 0x26b9277f, 0xcf14cd65, 0xcc0f21d2,
+    0xccfd2e77, 0x2d408b95, 0x88e43512, 0x01311452, 0x4874e31b, 0xed5ed5d4, 0xc50afb83, 0x8b86c302,
+    0xef21159c, 0xca4caedb, 0x594c6b4e, 0x32b9bae2, 0x0b8ea586, 0xa5ca03cb, 0x8c0de6f5, 0x9cf88d6b,
+    0x7f8dcf3a, 0x15758c4c, 0x5fa30e5a, 0x952741c2, 0x2e7e9c80, 0xce7b86dd, 0x2bed980f, 0xdf321644,
+    0xc6b12d2e, 0xbfc6a711, 0xddfc7499, 0x29aea2b1, 0x6eb9a727, 0xd0804862, 0xa56dcb05, 0x56d078e1,
+    0xe091e285, 0xe0e49b6c, 0xff5489ae, 0x9627b1ca, 0x43e16f74, 0xdc6a8192, 0xe3125857, 0x3d6b2d5c,
+    0xbb9b0a79, 0xc6b11489, 0xb9aa84ff, 0x99807df8, 0xea1be70d, 0x071d327f, 0x1acc8ae6, 0x543154b6,
+    0x360623c6, 0x0af4ab94, 0x71bc35cb, 0xae6986e0, 0x11a98034, 0xaa83aeda, 0xed00ea81, 0x1cd73344,
+    0x7644cad0, 0x53587bcd, 0x7f9e749e, 0xac372991, 0x49a021ff, 0x01bd3e58, 0xfe8d01dc, 0x8070053e,
+    0x35ad022b, 0x1e50a554, 0xe1b5fbb0, 0xbb4d3992, 0x184be906, 0x78689260, 0xf20e6cb1, 0xa8e77915,
+    0x74b830ad, 0x53ae31c7, 0xe1f24093, 0x8573a05f, 0x9f8c9f21, 0x535d1c69, 0xeae5ac60, 0xa0e85465,
+    0x3e2e117d, 0xca2659c6, 0x2b86019c, 0x4a5035eb, 0xf6913bcf, 0x6be022aa, 0x047af64f, 0x9f77fa29,
+    0xd4d35714, 0xb60efe6f, 0x7dd02146, 0xfb34ee24, 0x7b5bb16d, 0x12cbda07, 0x248bcb1a, 0xecc33400,
+    0x353158b5, 0xac1b418e, 0x238c27d3, 0x566ef8d4, 0xe875353b, 0xdbf9b915, 0x49ed1c6b, 0x4131ec5f,
+    0x10c5c62f, 0x1a154d6f, 0xe53e842b, 0xba0f153e, 0x6d904318, 0xa9a5a7b6, 0x26f8befc, 0xd373554e,
+    0x8d2b9c16, 0x8854586b, 0x8d0aae2d, 0xdcf782cf, 0xbc6b75b5, 0x45bb6d5d, 0xbd39b8df, 0xc47c6c34,
+    0xe05e022b, 0x327597e1, 0x5e0e8eba, 0x276e34e1, 0x02f888bc, 0xa44a6ca1, 0xdeab7e9c, 0x93702674,
+    0x3723a602, 0xd214bf4b, 0x6d272d67, 0x7367eab9, 0x41933214, 0xba835a3f, 0xa51b2fd8, 0xf9ebc229,
+    0xb5e084df, 0x3bb99d13, 0xf2a57c05, 0x8a27c96a, 0xef8ec766, 0xb363c04f, 0xde5c365d, 0x526afb5f,
+    0x03276b03, 0x6c5a2c37, 0x6a1840e3, 0xcaa9d352, 0x3fda8b96, 0x5ffd9842, 0xb3c11dc2, 0x806e1e40,
+    0xad3f82ef, 0xe0778c39, 0x495697bb, 0x0c8c686a, 0x06307932, 0x521bab76, 0x3b78dd96, 0xc2953503,
+    0x92557d7a, 0xaaac0a70, 0x58b358fd, 0x87508009, 0x48b44c78, 0xa13eee37, 0xcf7289e0, 0x2f103c6f,
+    0x48282587, 0xeb90e6db, 0xbf868a38, 0xa0e707e8, 0x23785c0e, 0xfdef37e0, 0xf2dee19f, 0x5ab001f8,
+    0x492d3805, 0x9a44ae16, 0x57c9ba76, 0x8e148bc6, 0x5f991062, 0x51763aad, 0xc37ed22f, 0xf5d6bd37,
+    0xd4759059, 0x4c403961, 0x0040c35c, 0xa9b0b64f, 0x4ad7e789, 0x6abe0ce4, 0x400567de, 0x7975b5c0,
+    0xfb16b828, 0x7da9caab, 0x934473f1, 0xb4b93f07, 0xcbd405c7, 0xfab777c2, 0x755c987c, 0x2135415b,
+    0x7a6088e0, 0x5cec5149, 0x57b7fb8d, 0x81c803dd, 0x0c232b93, 0xeaedf6ec, 0x7b32b85a, 0x257820c5,
+    0xa24cea3b, 0xb6aec949, 0x20086bda, 0x3886296e, 0x990560b3, 0x34bd276c, 0xd0fb0429, 0x70d8cc6d,
+    0xe7917460, 0x5cdbecd0, 0xd5fb3d74, 0x0b77ca93, 0xec207702, 0xf807670c, 0x759b5424, 0x391f4ca4,
+    0x1f3e543b, 0xeb2fbf29, 0x144224d1, 0x3b797afa, 0xb94cebb6, 0x1230c681, 0xa61148e2, 0x2fa18d81,
+    0x664e3c44, 0x928fe412, 0x9f9376b3, 0x9d557c70, 0x04de6b1b, 0x94a5187d, 0xfea0abb8, 0x5ee83ccf,
+    0x82d2f095, 0xa3d599e8, 0xc6637b68, 0xee6e42fe, 0x88959a78, 0x246cd6f7, 0x9e8781d9, 0x9658005d,
+    0xae49672f, 0xe6582e7d, 0xd740f973, 0xd587bbad, 0x8b68692d, 0x6ef2b341, 0x434af259, 0x7806fbb5,
+    0x1551455d, 0xcfd479f0, 0x039f6e37, 0xc05ea3ca, 0xeb0cb737, 0x20775c12, 0x8b430b58, 0x82229f83,
+    0x52959499, 0x23afcbf7, 0x1bb15c62, 0xce4041cd, 0x59e4227f, 0xb283bb8c, 0x63120416, 0x60fff842,
+    0x7a1c578c, 0x2db75f64, 0xf009c26d, 0x5aef5e9d, 0x45a908d0, 0xded76e4e, 0xa26a4921, 0x440f9f46,
+    0x358496ba, 0x72c58493, 0xb48c9466, 0x2b886ddd, 0x29bdb34e, 0x3015a217, 0xda59b634, 0xcea9bcb7,
+    0xde004e15, 0x28cf7b03, 0xeefffa91, 0x06c4c9e1, 0x82d6b6db, 0x145db396, 0x6ced121e, 0x097cc066,
+    0xb5d375e1, 0x336cb3ea, 0x165e3724, 0xb4e2a29d, 0x944b91dc, 0xa217bde4, 0xc06dd362, 0x4420a4bb,
+    0x6d7b9694, 0x37926a6c, 0x53c3314b, 0x26e298f2, 0x36f19fe4, 0x2bb8dbfa, 0xdf26688c, 0xd9b9030a,
+    0xfdae592c, 0x4990915b, 0x8d74ad71, 0xf1ff280d, 0xdd4af4a8, 0xa3cacdf8, 0xee282caf, 0xaeb675bc,
+    0x2b607b2a, 0x6e68152d, 0x865801c7, 0xf4addb20, 0x5cda40c6, 0x9af90e15, 0x6173c6f9, 0x9a80395d,
+    0x0a54b970, 0x15daaac8, 0x1ac0244c, 0xe17749d0, 0xfe662ab7, 0x6f643ced, 0xc94a55b3, 0x1d76505f,
+    0x76b0ebbc, 0x4fa5ed83, 0x577a4a43, 0xc37eb738, 0xb2461462, 0xc3bfb9df, 0x5e062f33, 0x872ecbaa,
+    0x28e30942, 0x96f6f41d, 0x1d9db056, 0x2fda3d6d, 0x7de35a8d, 0xa083750c, 0xb0f07127, 0x4ff4e26b,
+    0x5a44074f, 0x72fc300b, 0xa349513d, 0xf6815813, 0xffe623de, 0x355642ee, 0xdcbf609f, 0x8e296b74,
+    0xd86a56f5, 0xc98f1d96, 0x8a08a561, 0xd4001669, 0xa548e289, 0x4cef9fba, 0x3c6b242f, 0x93de477a,
+    0xa227a907, 0xabf07ea6, 0xb4319d36, 0x4b7136a1, 0xa9e7ffa0, 0xc942eda6, 0x151837b7, 0x36113099,
+    0xc724504c, 0xf105979c, 0x1ddf5f95, 0xf92019a2, 0xc1c1be45, 0x7c67e2b8, 0x60da72e5, 0xd5620645,
+    0x50e884ae, 0x652c680f, 0xfbd6ce23, 0xd78c8b6a, 0xc4483b68, 0x413fbaba, 0x08ef1f9e, 0x737c7fe4,
+    0x66e2f4f1, 0xc9d85a92, 0xa5dd6456, 0xd4ee5b57, 0xb93ab1f9, 0x06b17181, 0x686f44b9, 0xdb0f652e,
+    0x5810fe22, 0xa821fcf8, 0x0a2cd817, 0x6cba7be0, 0x624849a6, 0xa4e03465, 0x69a60472, 0x3080d38d,
+    0xa8f594d8, 0x0f73e121, 0xcb3d1c52, 0x05865883, 0x6db85f34, 0x876becb4, 0xec123c48, 0x01cbe394,
+    0x8c012e0d, 0xeb085fc5, 0x36e42fa4, 0x01126a9a, 0xe039cd65, 0x37c6b92c, 0xc2047215, 0x46869fdc,
+    0x04c5e447, 0xd25b395f, 0x75d9c32b, 0xb36d4ddb, 0x6c7aeec8, 0x422e5db6, 0xe3057291, 0xfef2b187,
+    0x0ecd559c, 0x91676da8, 0xf6c7f5b1, 0x10f23f5f, 0x7d383178, 0x699d073d, 0xd8bb0fcd, 0x2655a030,
+    0xe8fb5cb9, 0x4ff2f01a, 0xd4696328, 0x9da68ed1, 0xa5c40c04, 0x4a8edf24, 0x6955bf54, 0x6f333fb8,
+    0x87b477d2, 0x74261170, 0x9c759b51, 0x1ce96fcb, 0xf6b0e1de, 0x786d20d8, 0x46fce34a, 0x87f0a4ec,
+    0x3758fe47, 0x509aefae, 0x97795ec1, 0xbc29f14d, 0x945e5ea9, 0x9ce8f460, 0xb1616109, 0x204b55e5,
+    0x4ac319cd, 0x3a1a26da, 0xca919445, 0xdc554cda, 0x04075b8e, 0xdf22ff66, 0x485b6a0e, 0xa50c61a5,
+    0x2a374ad1, 0xe477e895, 0xec3df368, 0xa9bd642d, 0x9e52498c, 0x70240c1f, 0xa76b091b, 0x0175dd65,
+    0x4b9062fd, 0xe71a5153, 0xfa885e4d, 0xe5ed0f95, 0x445d081e, 0xc20e785b, 0x4bf21737, 0xc93fcb91,
+    0x109852dd, 0xeb7361cc, 0x6e38a585, 0x44b26590, 0xa94ee702, 0x147cf2ba, 0x09cadb62, 0x08deddf3,
+    0x58571824, 0x75dbf334, 0xa113d702, 0x260ea954, 0x9f6557fc, 0x42de1513, 0x6a913649, 0xde99b92d,
+    0xb280f573, 0xf157508f, 0x5e209e22, 0xfcb8b244, 0x28d1623f, 0xedb3ae25, 0x0ef6e127, 0x95392c6a,
+    0x772644a4, 0x20c77c1b, 0xfe39d32e, 0xdfe833c8, 0xe45bf2e3, 0x747f0216, 0x1195b3f3, 0x4e84e824,
+    0x729dc4a3, 0xcf90eec1, 0x62efc4cc, 0x64f5b913, 0xe86cab47, 0xd41fefe5, 0x0618f896, 0x3be11a94,
+    0xea06c2d3, 0x12048378, 0xbf1a7dcf, 0xf560950f, 0x58f693cb, 0x460697b7, 0xb4371144, 0xf001d646,
+    0x2212885d, 0x99c3b147, 0xcab6e7d6, 0xb4681c3a, 0xe3357b12, 0x22fbf30e, 0x4e6dcc82, 0x77c48fad,
+    0x8eedf8e7, 0xd9c5a2ad, 0x54ea96ea, 0x04209e8c, 0xe32eb00b, 0x47a99281, 0xbf615dad, 0x789847d1,
+    0xc021eced, 0xba288081, 0x78c8c4e5, 0xca5e34ca, 0x1e0e7bba, 0x57b051b6, 0x66cb18a7, 0xdaa893b3,
+    0xfa5134ec, 0xf61f54f9, 0xc5444725, 0x1150a838, 0xb695c18d, 0xa6cf3753, 0x1dc98476, 0xb90a8567,
+    0xcb12d62a, 0xec5f7b1e, 0x307d74b7, 0xd64733fa, 0xf059ede6, 0xe4397153, 0xd995cf76, 0x23919cc5,
+    0x9cfa1905, 0x90c6aa8f, 0x9044d8ae, 0x0163f0f9, 0xab6fd4b7, 0x1a0f6d05, 0x0a731d89, 0x08d1f971,
+    0x085d7af1, 0x4af2ca14, 0x8e3a29f2, 0xf5547c20, 0x00f39a33, 0x3c7b8b62, 0xba152862, 0xd727570e,
+    0x6514cc43, 0x91a37de0, 0x86a309f0, 0x9adbec6b, 0x967657e6, 0x2cdb5426, 0x27ecf07d, 0xf72d9d36,
+    0x7fbfa97f, 0xb4b699dc, 0xca1c6c76, 0xbbc65098, 0x797085d5, 0x8e2a72fc, 0x9c5ac123, 0xe0316486,
+    0x671d2a5e, 0x1d394cb6, 0x23c80175, 0x6474f19c, 0x749112a5, 0x45eaf889, 0xea34adf6, 0x22c9ec65,
+    0x1f327ed7, 0xd1677a8d, 0x3cd0db3f, 0xb1135788, 0x0c744684, 0x0d08d786, 0xeeeebf23, 0x240c1882,
+    0x211db5aa, 0xb1d49c23, 0x862881b7, 0x4ad6603e, 0x18225ce4, 0x42767fb0, 0x49219c0a, 0xf7a18768,
+    0x99c43a76, 0x0d003e9e, 0xa671c4b4, 0x26c68db0, 0x6e190c2c, 0x94aa2083, 0x4529bbd1, 0x1825a444,
+    0xd549687b, 0x8c466558, 0x544e4c4b, 0x3f71f23a, 0x5cc00c23, 0xda079e85, 0x31dd110d, 0x886cdf5c,
+    0x83aae859, 0x87aca87d, 0xd523ca23, 0xd1ed3658, 0x00aeb6f3, 0xa6308e33, 0xca8c6a48, 0xccc28ac0,
+    0x10346feb, 0xb3976e72, 0x2ea6a8b2, 0xbd0365b3, 0x164478d2, 0xfa8a7ac7, 0x2fb49ab8, 0x51c60408,
+    0xde5d0e25, 0xc12ef4ac, 0x85f3d4b4, 0xae69985b, 0xc4765895, 0x053bf891, 0xc27d108c, 0x3aa040f1,
+    0x35c9f87d, 0x6920191f, 0xe30c4c3f, 0x019f0182, 0x741df416, 0xbe8e7fa0, 0x0772a3e0, 0xacab6ea6,
+    0xc6d19c54, 0xc29d6ce5, 0xda163975, 0x22ef9a48, 0x58a426a7, 0x8edb5b9d, 0xee2db334, 0x4c176ef7,
+    0x8c5158a0, 0x497479b4, 0x34f6e7f7, 0x459207fa, 0x997458a2, 0xe5c7e6fd, 0x0565dbca, 0x0852a143,
+    0xb74399db, 0x558007ec, 0x67c8d3b0, 0xcb7a2349, 0x239b9c50, 0x3b36b575, 0x5769a3a0, 0xdc44a8ec,
+    0xd6624480, 0xce97f92d, 0x359a5a48, 0x2669eacc, 0x0f1952c5, 0xfd8a3e25, 0x303da5d0, 0xab155a0e,
+    0x2759bcb9, 0x3433744d, 0x0aeaf97d, 0x5f760caa, 0xcaa6906f, 0xabaf5f88, 0xd5e37df8, 0x70a15f78,
+    0x6128f838, 0x0caf7624, 0x329696dd, 0x311c48e2, 0x48aa93d1, 0xf87bebc9, 0xca8cd651, 0xc075dbfd,
+    0x0330ce1c, 0x0dd25298, 0x440833d7, 0x09533b54, 0xcdbc0b3e, 0x228f6482, 0x4aceedcb, 0x30a51ff0,
+    0x7ecca5a7, 0x330a8def, 0xd711ae4f, 0x816bcb94, 0x9e20adaf, 0xa3f828a2, 0x1bc9fb1d, 0x102c7ba5,
+    0x1a31082c, 0xdd02cedf, 0x57555d20, 0x3aaa7625, 0xd5b1b139, 0x3ae83f01, 0xe01efedf, 0x45ffbcb8,
+    0x23225827, 0x3f1b5457, 0x47fa9088, 0xe0cd16b1, 0x73b36471, 0x3622dce2, 0xbbd8c05f, 0x454a86f6,
+    0xb213dc03, 0x4075d8e3, 0x7505641d, 0xc9de9efc, 0x7edc4c5b, 0x7aa1e33c, 0xec76c36d, 0x69dae545,
+    0xb315139c, 0xd1eca054, 0xcff3fff9, 0xda15989d, 0x5cd84857, 0x16cf7bf3, 0x03608ece, 0xec82aa55,
+    0xc390755c, 0x6348ea93, 0xf0457c2e, 0x1ff1f7b8, 0x597504a1, 0x212cb7eb, 0x5dd7f001, 0xb1de85a6,
+    0xcc718dd8, 0xead45c54, 0x6504a359, 0x07975bb4, 0x7eb1afc8, 0x3fc90716, 0x7171aff5, 0x938e4a17,
+    0xeb5f4381, 0x408ebcec, 0xedc39f64, 0x22c0ebd7, 0xd56e0e05, 0xccbdcdc8, 0xf51d2e68, 0x8228e999,
+    0x00000000,
+    0x810b1156, 0xd317ccd7, 0x9bfbe8c3, 0x958b724a, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0,
+    0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000651851512427035\
+                          54760590262029100101153646988597309960020356494379340201592426774597868716032 */
+  { 0x00000000,
+    0x2608954e, 0xe62a542a, 0x32da023f, 0x81026bea, 0x0d6c70a8, 0xce0bf6f1, 0xc45ace02, 0xdb424b9a,
+    0x1b7b75ee, 0x241296b5, 0xc9cb8715, 0xbc1fc7f4, 0x3de44440, 0xd905c956, 0x18686a84, 0x15b90b46,
+    0x6cacd5ad, 0xd0e5fd7f, 0x45ac2244, 0x1d511c30, 0x93fee073, 0x0f6a8922, 0xae0ae973, 0x03c01a44,
+    0xc40b6b7f, 0x71cf9341, 0x4cc3ff3e, 0xa3d9dbb7, 0x137e01a1, 0xe4acc4bd, 0x4000bc37, 0xfd0efccd,
+    0xe5597487, 0xb5d3e8c5, 0x534f7bd0, 0x26c22499, 0x20c079fc, 0xf8b9730e, 0x46b3dfdc, 0xef186696,
+    0x3c3e0a1a, 0x479a40d7, 0x1a65ae82, 0x24818b2a, 0xe5ceed4f, 0x97a3b11c, 0x45ce84b9, 0x05611053,
+    0xd94cb1bf, 0x77d46ecb, 0x35ac970b, 0xeae578cd, 0x8bc27914, 0x5d33502c, 0x012311d9, 0xf4b0912f,
+    0x757ddaaa, 0xfd2516db, 0x79ce546b, 0x4c4f8824, 0xaf662d3f, 0x0d286815, 0xebf2f38e, 0x39f48ebc,
+    0x3e84c4d1, 0xbea00c92, 0x0491cd96, 0xedac63fa, 0xbd77c972, 0xb14ad8fc, 0x931d15fe, 0x6ef98089,
+    0x52912b25, 0x2af623bb, 0x3cfc74a5, 0x4e831eb0, 0xad8cf8d7, 0xbedd65ac, 0x91a341d6, 0x03870d78,
+    0xf5563602, 0x353300c1, 0x4b8ba70c, 0x79c1be48, 0x0833febb, 0xe74158ed, 0x4753d9dd, 0x5bde98f0,
+    0xb7c0e35e, 0x65f08945, 0x322096d2, 0x968848a9, 0x463fe334, 0xe1e28b60, 0xb95241e2, 0x2073513f,
+    0xb8ce3785, 0xc2bc0fc6, 0xd606a84a, 0x0c8b1107, 0xf6e99984, 0x49c1d3da, 0x5d0680b9, 0xe4a43711,
+    0x1c4ed2ff, 0xd09577c1, 0x7cf69bb1, 0x42877305, 0x2cc47ce7, 0xe8e7e619, 0xb38f4a55, 0x0d8590a3,
+    0xa23a75b1, 0xcc66e15b, 0x29c8774e, 0x56f0ff8d, 0x0318e374, 0xe62e216e, 0x58a2177d, 0xb2da9a6f,
+    0xc71aeb52, 0x96bfff0d, 0x6ad66af8, 0xc252b94f, 0x1c92abe6, 0x20a65204, 0x69e42eae, 0xfc45e928,
+    0xf9838152, 0xc643f6f6, 0x77010db0, 0x1c539fe6, 0x1e7d1d60, 0x14c81ef1, 0x27cede72, 0xbc6b4b69,
+    0xfabf7bf5, 0x93aeaf5a, 0xa644d2e1, 0x8c607f59, 0x7f79948c, 0x396e172a, 0x8e990226, 0x456169de,
+    0x0359bbe2, 0xa87eb944, 0x74413952, 0x09b7f490, 0x0516ca05, 0xad7a9383, 0xde3e15e9, 0x34b7adf6,
+    0x710a6ef9, 0x3119f027, 0x02fab992, 0xa244f8de, 0xf4cf9110, 0x40b7bc3a, 0xc48c1b9a, 0xebfac9cc,
+    0x8a2df3b6, 0xdc6e536a, 0x4e504dc9, 0xbbf23352, 0xc6d29b19, 0x99e72166, 0xe6c2486f, 0xca3ae0fa,
+    0x8fd07f92, 0x3f532d69, 0x15380e1a, 0x24d8944c, 0xe56bcfdd, 0xf7bff88b, 0xe8bb38bf, 0x54aebc1c,
+    0x8f735f73, 0xf3138a60, 0x24aaa184, 0x363cd6cf, 0xaf1e3788, 0xe9e1de65, 0xeb08edaa, 0xc1815592,
+    0x4a131a60, 0x82a91ba8, 0xcb2eaa82, 0x21960b12, 0xd3b4b97a, 0xdebb10f2, 0xdcdeac8d, 0xf535a756,
+    0x109397ef, 0xb4eca8bd, 0x18177bcb, 0xacb2367c, 0x799e7bf3, 0x94a424ce, 0x21e17ab4, 0x385cfb2e,
+    0x45c38626, 0x1036f556, 0x87c1fa0f, 0xab63a3a2, 0x544ed000, 0xff6c5be6, 0x28fe2c44, 0x85f28cec,
+    0xdd5f3650, 0xd5fd9982, 0x742e1a19, 0x85caf7ff, 0x897e01dc, 0xf804db44, 0xa939dee0, 0xfce7cb87,
+    0x2260f523, 0xbf2e99cf, 0xc8d24967, 0xc9dccdcf, 0x388843e7, 0x56e49659, 0x5ade5352, 0x0a793434,
+    0x3516e038, 0x75d6f24c, 0xf2e31252, 0x9cfc586c, 0xd778872d, 0x6ac2f56f, 0x6a6424a6, 0xf8a02776,
+    0x08808c06, 0xe4f23b96, 0xa6dc1f48, 0x59b44d3d, 0x1912dd3c, 0x679cf669, 0xdc521900, 0xd450bc61,
+    0x82b6c0b5, 0x86db3526, 0x2989623e, 0x5c2d8feb, 0x419551eb, 0x9160c9c2, 0xde31cc59, 0x66594362,
+    0x39e885d2, 0xd884930d, 0x02fb1abb, 0x1ae5d157, 0x870fd19d, 0xd255d20e, 0xfc2506d9, 0xafcc8fe8,
+    0x39d287d3, 0xb8eb6350, 0x0f99cee0, 0x2b632304, 0x7b3315c7, 0x8ddfd3e1, 0x31d772a7, 0xad71fdac,
+    0xa0e93583, 0x33a72225, 0x8584280f, 0x283be9c3, 0xe319de43, 0x45f9a358, 0xf82c5625, 0xc1aba3bf,
+    0x13891352, 0x65ad471b, 0xaabff6c4, 0x940aed30, 0xc02827cc, 0x7664bddc, 0xef87d511, 0xb9ed42e4,
+    0x60e278a0, 0x328a0736, 0xcbbf52a8, 0xa9741545, 0x441b8ffd, 0x98fd2571, 0xcbc40998, 0xa78dc337,
+    0x01d440ce, 0x74749824, 0x7b9d7bed, 0xa7c02fd6, 0x22ec9c42, 0x00a65844, 0xf30a76e0, 0x8e719f05,
+    0x14840a72, 0x41af4953, 0x13a48af5, 0x71e5ff92, 0xa4378eb0, 0x53c93600, 0x58d80b43, 0xe213e786,
+    0xa2351ffa, 0x977fe56b, 0x5e51daf9, 0xc000edb8, 0xa34f0175, 0xbca7f0e6, 0x1c14c60e, 0x59bb13eb,
+    0x97e6c611, 0x06c19dc9, 0xa65c66d8, 0x7d556b33, 0x16144df2, 0x4bdde28a, 0xe7a6d571, 0xbbea1bcb,
+    0xf2b43216, 0x22bd7e2c, 0x17fc1dd5, 0x338f6041, 0x75f664ad, 0x4d0fac21, 0x87f7042d, 0xd570dda9,
+    0xd154103e, 0x4bcdb384, 0xff199ff6, 0xacc82553, 0x96f07ebc, 0x12b77f0a, 0xb96f38ff, 0x68895b92,
+    0xdac63a0c, 0x8e4da09d, 0x6d0777c6, 0x4a7b656b, 0x7d62ff57, 0x84e81f0d, 0x9df4726b, 0xb2f9f226,
+    0x859e9b29, 0xcf5d3373, 0xae0cf3ca, 0xe44557cc, 0xb3346aee, 0xf9a64099, 0x3a6ff686, 0xdb3d84a8,
+    0xaef56843, 0x58053723, 0x683c7d82, 0x9c9e46b3, 0x1a58c824, 0x1255120a, 0xa83f90a1, 0x5c6f79b4,
+    0x45a02ae3, 0x5a79cfc3, 0xc552004d, 0x77f0c24f, 0x685a7e5b, 0xc8109559, 0xab648e14, 0x3ed1a272,
+    0x0b4757b1, 0x30252843, 0xca093a1c, 0xb4dcae6c, 0x144b63bf, 0x20e200f4, 0xcd5a66a2, 0x54add077,
+    0xef4f6c78, 0x89730b22, 0xd893d9a8, 0x7506313c, 0x97102fe3, 0x9044a813, 0xc21ba0b7, 0x5d17063a,
+    0x31c1f683, 0x5c8afde9, 0x2379f726, 0x14e04c3d, 0xeb76be29, 0x7c2ad65b, 0x53ad115b, 0xc605c680,
+    0xd3244841, 0x0fc59dd2, 0xb93a09f8, 0x7ac95d0f, 0xdf125041, 0xf624e34f, 0xa4e12106, 0x07b66142,
+    0xd53af780, 0x55dd31b1, 0xdc3ba9cf, 0x4f254584, 0x244a82ad, 0xe76c4a8c, 0xec4fb95d, 0x053269e8,
+    0xece53173, 0xccb76b42, 0xbe87be4e, 0x53db62bd, 0x86658290, 0x1cb22093, 0x6ed50aa2, 0xfdcf41dc,
+    0x5cae95b3, 0x9fef3d60, 0x25b0a42f, 0x87497564, 0x2be2a743, 0x8239831b, 0x20c09ef8, 0xcdcd264e,
+    0x7a76d7f8, 0x44b7c887, 0x03d92da2, 0x5df8caa8, 0xeb3f25c9, 0x39db40a0, 0x068c9aaa, 0x82ae8acc,
+    0xbe278088, 0xc0e6ff79, 0x14a57fb2, 0x7a89d47e, 0x567064a8, 0x107b1164, 0xbcb2fce3, 0x22f58039,
+    0x975d716d, 0x485bf383, 0x94bc1a25, 0xa50b3a50, 0x7a4a9ce3, 0xbf21ac93, 0x47dfc9af, 0xbd20c0a8,
+    0xc5fa75ea, 0xb1d4472d, 0x96fed9ea, 0x3c966035, 0x82a0d83b, 0xf23f1341, 0x2475c976, 0x9897941b,
+    0x629cff20, 0x7096689d, 0xaa73456d, 0x77121320, 0x47f23c35, 0x91aa135d, 0x17dd1a2b, 0x1611de6d,
+    0x9de39250, 0x93b8d683, 0x0e82a4a1, 0x756d0cf4, 0x0d6591ba, 0x31a01548, 0x9805f3a5, 0xacd3008d,
+    0x99417cf1, 0x5a843ead, 0x3decc902, 0xd1dbfb9f, 0xcc122c93, 0xbd946574, 0x60fd8480, 0xffa22334,
+    0xa0099fb8, 0x2f1fb915, 0x4f34768d, 0x4fa02f09, 0x3b97e2e7, 0x33ee691e, 0x2bf05ce5, 0x37fdd8f2,
+    0xfced77f4, 0x2e094b42, 0xd1f25d24, 0x58605982, 0xedcf3a60, 0xb81561df, 0xbd050a1c, 0x2a49b1b7,
+    0x2a5c8401, 0x58651c91, 0xaa871222, 0xdad0d207, 0x22f04ef7, 0x67a6c83d, 0x1c0d9363, 0x710b9959,
+    0xdb630169, 0x5a0e8581, 0x360d070d, 0x8f5347e2, 0x74e4237f, 0xaf8bebeb, 0x849849e5, 0xe73195ec,
+    0x2a5d2911, 0x633a6d34, 0x24b28bc0, 0x4cc50866, 0x80d6e7cd, 0x89fb3da8, 0x81f9e972, 0x990ead43,
+    0x70b65a54, 0x122c4c8e, 0xd6363caf, 0x4d7a8d04, 0xbb69214b, 0x526b8a48, 0xd036150f, 0xbca2a958,
+    0x865e478b, 0x9bf88b48, 0x8e1d1e69, 0x30865932, 0xdc9adbc1, 0xa89dbfef, 0xe99f3ef4, 0xcfa1b11b,
+    0xab22be84, 0xe38f5a27, 0x89eaf23d, 0x408ffb06, 0xce2fafc2, 0x89bd1f3c, 0xc6a2dcd2, 0x7f3acc0b,
+    0xfd65bbf8, 0xa3bd21fd, 0x2c4adb6e, 0xfef428e8, 0x61b8063c, 0xe96e1639, 0x6ddb7d79, 0x8858860e,
+    0x0c41e795, 0x58f24a28, 0x7347bf6a, 0x1ca37750, 0x4838634d, 0xe30dde7c, 0x096d3446, 0xbffae956,
+    0xacf67960, 0x73e2fbce, 0xe1ffa105, 0x6a851b85, 0x04b4d4d9, 0xbd9f763a, 0x3269d7c9, 0xff3c1eb6,
+    0x822d565e, 0xb2523547, 0x20fad611, 0x48c87a5d, 0xa9847678, 0x0d822931, 0x3512d528, 0x557b8ae6,
+    0xaf807e9d, 0x2a614343, 0xafc332bb, 0x862a2baf, 0x10d967ef, 0xea48bf56, 0xe5cf0210, 0x727cd471,
+    0x63997e45, 0x381d1518, 0x19ed7d60, 0xd34a2518, 0xe94b622c, 0xbe82ebfc, 0x39147778, 0x1a11532f,
+    0x48a68051, 0x2219aa8e, 0x1585e0f7, 0xb834ce93, 0x5b171877, 0x052242ba, 0x768e397f, 0x8a4c7052,
+    0xb1c4c67b, 0x1a447ca5, 0xddd55671, 0xa2612657, 0x2451517f, 0xbe3a108c, 0xf11a2ebc, 0x902d60a9,
+    0xd8d696e0, 0xbc09c4c2, 0x424c6c03, 0x9cd847ba, 0x97d61c70, 0xa2c115ba, 0x4c729f6b, 0xc1eefc96,
+    0x1b4fe701, 0x1d904b2d, 0x9bb0b656, 0x8e75c60e, 0x01ee18cd, 0xc0608db1, 0x0a5a3f3b, 0x8c643317,
+    0x0667f31a, 0x771f3abf, 0x05681ef7, 0x517dd219, 0x42a1046f, 0xb1ed5d07, 0x694be09f, 0x6619e4bf,
+    0x0a08158d, 0x690a8fd0, 0x327f55b3, 0xdbd44f1d, 0x5a105d60, 0xb3d84199, 0xc4f4b29a, 0xfd85f0ae,
+    0x0d53e91d, 0x88f8e95e, 0x6b38f715, 0x4cf51234, 0xa331e38a, 0x964b7570, 0x5c01b355, 0x53307951,
+    0x5d4f82d9, 0x94a36466, 0x97f6a1fd, 0x1aa3e183, 0x92cb5bd4, 0x7fad03a1, 0x892fd25e, 0x77133d79,
+    0xddfe84aa, 0xeb9cbc90, 0xd567d2c9, 0x329c976d, 0x128dd0bd, 0x4299976e, 0xe3992e1e, 0x8bca3f31,
+    0x6a75a96e, 0x9bd4792c, 0xf9cfa183, 0xf5f47930, 0xe35ea648, 0x8cd26e02, 0x742df893, 0xbe467d9e,
+    0x2fd80d3f, 0x079ba221, 0xd69d2870, 0x6f53ed87, 0x61b5af8d, 0x923df996, 0x0cb1d6e0, 0x131329a2,
+    0x7616e9a6, 0x046f0aa9, 0x73d05df7, 0xbd9bada2, 0x551bb609, 0x8a5ffa8a, 0xf5f7993d, 0x5cd4093f,
+    0xa1d49674, 0x67e6c844, 0xb100154f, 0x6edcbe10, 0x581a2dd6, 0x8625722c, 0x2a14157d, 0xd466a051,
+    0xacc1c68e, 0x908abc22, 0xd5223ac4, 0x88df997e, 0xa4e62d88, 0xd8578f42, 0xedec1c57, 0xb0e0abf1,
+    0xb34037bd, 0x67984b22, 0xcbc1fbbe, 0x40ef0459, 0xdf0ee2a5, 0x4c327373, 0x3901f618, 0xa7be7ca7,
+    0x822357c9, 0x5f1bd884, 0x6ae13f25, 0xf613bedd, 0x4ae7d8d6, 0x6968b6f8, 0x23fa87ad, 0xcf9f5d0e,
+    0xef0ec5df, 0x1e647e2f, 0x0573ea23, 0x243c1e3d, 0xf58c4e6b, 0x1ba73277, 0x44047875, 0x9a356615,
+    0x16ee97d2, 0x0a5c1512, 0xeff7cfa1, 0x094e9311, 0x4dae138d, 0xd3f7a471, 0x6ca2409c, 0x1ab30b3e,
+    0x2e0d3545, 0x530fd48f, 0x9e85536b, 0x6e417939, 0x30aa1846, 0xa4639cfa, 0xd9e71778, 0x970c7265,
+    0x5635c5d1, 0x3e6e0cee, 0xd2a590ce, 0x2dd6aad9, 0x34d2ca71, 0xceb9dc0b, 0xee323201, 0x71f24429,
+    0xe29f55a7, 0xf63024d8, 0xcb3a4909, 0x99ba8eec, 0xc5f851db, 0x77727c69, 0xaea941f1, 0x99a6e3a8,
+    0x34cd0348, 0x7e7377fe, 0x9d5b288a, 0x066e92e8, 0xacf28668, 0x5b9df3fc, 0xffe9b791, 0x011a795b,
+    0x7a5c43fd, 0xb3f97856, 0xa38cac3c, 0x31c978f6, 0xbd324554, 0x1b0f7d62, 0x0b3b9520, 0x0afa7b31,
+    0xd837356c, 0x75966724, 0xa836eb10, 0x33cf97c5, 0xaa2bbef2, 0x1fbef837, 0x35f52540, 0x4b2e291f,
+    0x625b9a24, 0x80c192af, 0xeb30f13f, 0x6b101a45, 0x7273f828, 0xe894a57a, 0x54df4b6f, 0x09d0d5ff,
+    0x2fa61a45, 0x91554734, 0x519628b7, 0x639aeaac, 0xc49b02db, 0x3ca4c6fd, 0xa6474bfd, 0x6354f9e9,
+    0x5ffe1001, 0xb1f748fc, 0xf466bd10, 0x9b256b59, 0x6eb78c73, 0x74c327bf, 0xcf2006fd, 0xc5317d7d,
+    0x886f55b5, 0x2149e195, 0x75b56768, 0xd1e213ac, 0xe308634d, 0x8d5b0182, 0x15a3f7d4, 0x7c18737b,
+    0xff067e18, 0x15af3183, 0xb41142b3, 0x9eb91c44, 0x7ffdc479, 0xf5d37eba, 0x204046ac, 0x8c710bc2,
+    0x8603227a, 0xaa84ed16, 0x806f23ef, 0xa0185572, 0x852958e1, 0xac3236a1, 0x0e85e81a, 0x119a653d,
+    0x7b628a94, 0xb78e3b41, 0x3c0c8015, 0x5a04fc7c, 0x1db223c4, 0x337f72df, 0x806b1e03, 0x845c029b,
+    0x3612737e, 0x9cdf01bc, 0xbb600ae2, 0x1fdf826c, 0x201c8edd, 0x2c28f223, 0x38532e12, 0x97e1d609,
+    0x4d137cfb, 0x822535e5, 0x569de954, 0xfb7c26bb, 0x2611074f, 0xd05e8eb7, 0x22dd01f1, 0xf13012a6,
+    0x04a739f7, 0x5c72c603, 0xaa96755f, 0xfb6c2c1d, 0x3ea4eee3, 0xbe94ff8c, 0xb837056a, 0x04a3a5cd,
+    0xd5c4543a, 0x0d6937c2, 0x58e2c2cf, 0x97b959d9, 0x8b27e870, 0x7a8d8a53, 0x44bc1e0f, 0x93b642f0,
+    0x8e38c3fa, 0xb8e79842, 0xf4472110, 0xf011e327, 0xb650987c, 0x05efc655, 0x57bf94d6, 0x2170d3a4,
+    0x26ba9150, 0xd964577c, 0x6576acca, 0x902a72a8, 0x3b85f22b, 0xb364ac69, 0x18b09a56, 0xdac1943a,
+    0x7cf367c0, 0xeee8f53e, 0x2a4e7588, 0xf4e60aa2, 0xe872adc4, 0x1d96dad5, 0xc38f42f5, 0x153bfc63,
+    0x4c6d77a6, 0x60bf539c, 0x76598c31, 0x4153138c, 0x977ac2f4, 0x3f5b23e9, 0x17cd14ea, 0xdc6f8715,
+    0xff3cdae2, 0xb3e33ee5, 0xf666068b, 0xc102bf80, 0xcd64223a, 0x90204ad8, 0xaf97fae0, 0xb912400c,
+    0x40c8224f, 0x34d8ac69, 0x7fdae1bb, 0x7c6bb4d4, 0x39d62e6e, 0xf6d79852, 0x574b3fce, 0x94d7c491,
+    0xb401198f, 0x0a6006b5, 0x61efd577, 0x05894b61, 0xc85dec86, 0x71a49723, 0x0aa9b9f9, 0x981130a6,
+    0x22fa963f, 0x7354c7fb, 0x83fb63ca, 0x233aee27, 0x3036e4ab, 0xa0d37d00, 0x2258d909, 0x07a7de7c,
+    0x47abfdab, 0xe3b01c59, 0x1fc9dae1, 0x7761ccaa, 0x491ff662, 0xd540cc1f, 0x622029a3, 0x79c7a324,
+    0x3b97a0b4, 0x8437050e, 0xc06840a3, 0x00e91165, 0x244f829f, 0x14c75267, 0x1091781e, 0xe56a5fa2,
+    0x73ad712a, 0x6b3090de, 0x4a3d9064, 0x83a79766, 0x1b3e5039, 0x2e107ee1, 0x3c047364, 0xea92f80f,
+    0x208796a5, 0x61624623, 0xd8c24427, 0xf1503608, 0x79eac573, 0xf4fcead7, 0xe0abc845, 0x86b27bcc,
+    0x0e3c2cd2, 0x38b8f8d1, 0x1d8c6253, 0x188cac5e, 0x84b9e653, 0x10aaab4a, 0x1a0ceca5, 0xa2f4595b,
+    0x1019d275, 0xdd357117, 0x151d39b0, 0x1005b28e, 0xbffa94af, 0x840d1b04, 0x33281911, 0x2a34a092,
+    0x019a1bd4, 0x5a464fd7, 0x6f75c9b8, 0x6ef0c248, 0xa8898036, 0xfec36a33, 0x2422eec4, 0x0c180755,
+    0xe2435f9a, 0x527ce894, 0x05dfacb4, 0x492a5178, 0xe9714c73, 0x5c700a49, 0xbf1e081b, 0xb19323fa,
+    0x97b6d7a6, 0x75eaf393, 0xb770b44a, 0x32e38d82, 0xfaa120a1, 0x53aa2924, 0x8b010271, 0xb68a485f,
+    0x00000000,
+    0xc08588aa, 0xe98be66b, 0x4dfdf461, 0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50,
+    0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000325925756213517\
+                          77380295131014550050576823494298654980010178247189670100796213387298934358016 */
+  { 0x00000000,
+    0xa0984e44, 0x3162f9bf, 0x9cbee281, 0xc80f5ac8, 0x7bf20cd0, 0x409c3c56, 0xd0a09493, 0x4396c5cc,
+    0xd4dbbab7, 0x49e8ef2f, 0x1e7dbfe3, 0xe0d3689e, 0x13f306b4, 0x9c39a92a, 0x8b6ce135, 0x803c6bdc,
+    0x831eb4fc, 0x21b1ccea, 0x7e62bfc9, 0x6e82bb83, 0xeeb3fd07, 0xcfec78e8, 0x56ca4c6c, 0xbcfc40c6,
+    0x016df59e, 0x45858cf1, 0xed40f496, 0xb7b5261b, 0xe977a50d, 0x127b3fe9, 0x5af93f8d, 0x6402b8b7,
+    0xa0c9abc9, 0x90b4b069, 0x8c16b311, 0x2e4aa2f1, 0xea5eef3b, 0xce24b406, 0xfff003e4, 0x0ae69dc4,
+    0xdfedaeb7, 0x6c24c6c4, 0x735d2b1b, 0x488bb7bc, 0xf4f6998e, 0xe7d13c55, 0x1f2a0790, 0xe707a7d2,
+    0x2293a708, 0x38890062, 0x1016fcca, 0x869ef5c8, 0x8e349078, 0xc679842a, 0x9347e8bf, 0xc29b325a,
+    0xd12bc31b, 0x3c2f44ea, 0xdfd08c2f, 0xdf0490ff, 0xfcca6a8d, 0xb634b75f, 0xd2d2159f, 0x73493c87,
+    0x42faf391, 0xd47b8e9c, 0x58c9687b, 0x9d80e248, 0x7d70ff1a, 0x9349e594, 0x46d551ab, 0xd4859b39,
+    0x5da86cac, 0x5c886c79, 0x697d096b, 0x899fa7c5, 0xe94de725, 0x9bb6fea3, 0x8360363d, 0x4b19c6bd,
+    0xa9eb2293, 0xfa9fe1ea, 0x58b5d0c2, 0x21d22751, 0xef3c2770, 0x8fa337ee, 0x63d365e2, 0x23e3168b,
+    0xe845cb02, 0xb4c2e0e6, 0xb965c8bd, 0x49c0a7f7, 0x4e0268ce, 0x3ca24a37, 0x5dabdc40, 0x8936d2fb,
+    0x482fa941, 0xfd33751d, 0x97b09de3, 0xb44f5397, 0x790efb15, 0xf691951f, 0xff27eed9, 0xe383b245,
+    0x40ad6b72, 0xae24a0de, 0x4490312c, 0x5b56135b, 0xa08cd3fd, 0x0b0698a7, 0x6abda367, 0x7f44a72c,
+    0x41ca982c, 0xa2a977b2, 0xeda403e7, 0x29adfb22, 0x0d480520, 0x6c17c29a, 0xcf0b0d0a, 0xc2e8d27c,
+    0x18dcc045, 0x26ee337e, 0x8c95a7f1, 0x938b131b, 0x89494090, 0xc147bf1e, 0x08ffe9ef, 0xf425ad44,
+    0x4fbf93f4, 0x35800997, 0xe28db867, 0x05f8f203, 0x8407395e, 0x357759ea, 0x434c87c2, 0xc6b33ed0,
+    0xc6f14cdf, 0x5a92df4e, 0xa2b26efc, 0x78e2f72b, 0x06310da4, 0x53bb2e37, 0x79be3975, 0x9b6d13d5,
+    0xbc3dd689, 0xc9bec9b6, 0x39303d72, 0xc69df7ce, 0x09a88455, 0x69893661, 0x5bfd7dc2, 0xca83cf07,
+    0x29df3d24, 0x60eda815, 0x566940e7, 0xd5cd39bc, 0x584eb0b9, 0x2f722cf4, 0x295b42f4, 0x87828247,
+    0xe908faff, 0xdc5f75e4, 0x38c2b1f1, 0x8f7d1764, 0x094567a6, 0x8d7a2b7f, 0x3ade4c35, 0x06cada37,
+    0x75027be0, 0xe6ea8346, 0x8ad1cdfc, 0x806df8a4, 0xa74b2553, 0xe8b045b8, 0x89af0273, 0x3e960a46,
+    0x5902a05b, 0x0bca6fd6, 0x0706f204, 0x7e1c1f04, 0x38e13689, 0x81791885, 0xf1f82b11, 0x01d70d66,
+    0x089b9b1f, 0x523f30b6, 0xcdaea736, 0x6fd22d50, 0x558ccf58, 0xad2674ef, 0xc3fd16c7, 0xa4236f8b,
+    0x3dde187d, 0x8485e14d, 0x7de533b6, 0x4340be72, 0x75d9f8d6, 0x9526bdb1, 0x30d945f6, 0x9197bcd1,
+    0xf84f9ef3, 0xe204689f, 0x693b771f, 0x3d3b7298, 0x12fb508b, 0x2ee595bf, 0x0772d71b, 0xd9326e40,
+    0x524f7a49, 0x09f9fe19, 0xa1a37fb1, 0xacf74306, 0x1a66798e, 0x8b34ce7f, 0x3ffe51d6, 0xf09d2c07,
+    0x4a2cef19, 0x4c30a068, 0x6e33c02d, 0x7960f9c3, 0xf7d01108, 0xc7e77471, 0xc2eb9ba8, 0xf89e8983,
+    0xe576e3c5, 0xa568db66, 0x1bb28e9c, 0xbbc4eadb, 0x38dcf07d, 0x720e527d, 0xebfc98bf, 0x3ea32ca9,
+    0xbcfdc41c, 0x5c64d1d7, 0x88583cb6, 0xbc6aa57e, 0x6a30fd4f, 0xdd251c30, 0xb31bac1b, 0x60ddff03,
+    0xa9b0af03, 0x183bcc57, 0x1bdbadbe, 0x5144bd4a, 0x1772a7a3, 0xfdb298d8, 0x06b775fa, 0x054e6572,
+    0x58acaa72, 0x3d86868d, 0xa69457b1, 0x8facd236, 0xb754aba3, 0x0be99dec, 0x16fbb4ee, 0x2d96cf6f,
+    0xefe5f672, 0x6cb66a06, 0x6771c86e, 0xee59f1d9, 0xab72320a, 0x72612990, 0x157fd542, 0xedacb9ed,
+    0xdc4e031e, 0x163cecc2, 0x42a9d93c, 0xaf9b7d27, 0x14cfd23d, 0x74f9c6b1, 0x9e3e6eb7, 0x8e4717b1,
+    0x4117db6d, 0x95cf1b18, 0x8b6d0298, 0xa6a12c19, 0x0edbf092, 0x0541f6a8, 0x67771201, 0xf357c2fd,
+    0xa48c9145, 0xf4ac6c99, 0x40d9493a, 0x24e8ede5, 0xc16d80ef, 0x90877511, 0x5ef37c20, 0xe0ccee5d,
+    0x6d5e0272, 0xd3690e20, 0xec3fb79b, 0x94581faa, 0x752bcf03, 0x58358fbd, 0x2375120d, 0x5b2520ca,
+    0x183f181c, 0xc8457db3, 0x4b86f72d, 0xb223bc94, 0x32672f18, 0xd696d7b0, 0x8557462b, 0x30ca21a3,
+    0xf077411b, 0x8f547a5c, 0xff0098a1, 0xc2983ff8, 0x3e00310a, 0x3ea19699, 0x92bcf4ba, 0x8f0db9cc,
+    0xdfb41732, 0x8f401a6b, 0x7110c465, 0xda97ca60, 0x84f72268, 0xb13901bf, 0x696e27ee, 0x9fb01696,
+    0x13781397, 0xea82e5ab, 0x3ba633df, 0x3d11a097, 0x2764441a, 0x06ae259a, 0x897ec136, 0xffb953f4,
+    0xb7ec0662, 0xb692b98c, 0x05db2929, 0xdb381bff, 0x5f059914, 0x9560714f, 0x9cc65f65, 0x7f34dba3,
+    0xb91ee264, 0x8475ed5b, 0xa22c57e1, 0x219a9ed2, 0x5105ec1b, 0x39d3e1bc, 0xcd81f27a, 0xa40bed2d,
+    0x822d4aee, 0xf62964b2, 0x41154f3c, 0xaa2e80fe, 0xa83febf3, 0x98f9dcd7, 0x0959cc2f, 0xa1d28695,
+    0x926d90da, 0x899e9ff0, 0x19bdcf1c, 0xb961060a, 0xfc11c4b9, 0xa5012121, 0xb55e89a2, 0x1b685236,
+    0x467247e2, 0xc7001ea0, 0x86353b7b, 0x9a5a734e, 0xf5d93d29, 0xa9c2517c, 0xb4af933d, 0x09cf044f,
+    0x7251a6a4, 0x161f0109, 0x572bbeb4, 0xd45d845c, 0xb543d452, 0xe5c59ff0, 0xc91ac54a, 0xfe6d25b2,
+    0xb7c9cfc0, 0x7d7546ef, 0xc88a51d7, 0x801a2f1f, 0xb188af75, 0x65bf916b, 0xde167f3a, 0x8dcfa8a6,
+    0x9b246c0b, 0x49d9c97c, 0x3bb32b67, 0x2426e0d7, 0x7daee621, 0xfb2aef8b, 0x08ce1e57, 0x49aeb277,
+    0x8928d490, 0x4df80721, 0x454e212f, 0x48a110e6, 0xbc7fb6eb, 0x2ae89f8d, 0x10b09231, 0x4f1bd098,
+    0xd17068a9, 0xeade403c, 0x2076009f, 0x145b3244, 0x3c8b8e5b, 0x57d2c4aa, 0xc464b698, 0xd9d82f19,
+    0xc1a07ef6, 0x91c787bb, 0x0ee4105a, 0x801d43cf, 0xd43c679b, 0x73f3b91c, 0x35947348, 0xcc96a956,
+    0x25618afe, 0xab8cd49a, 0x6a4df045, 0x49fb9b8c, 0x219d5b4f, 0x22038b48, 0xa34ce5b7, 0xaa66b57b,
+    0xd8410561, 0x0ba28311, 0xcb1db2a8, 0x0ccd20e3, 0x6052746d, 0x5aebe119, 0x567f4926, 0x55157073,
+    0x68058037, 0x7884240e, 0xdf22a1ec, 0x2e2504db, 0xeea6f51f, 0x6b1c65c2, 0xb06036a8, 0xad19e498,
+    0xc6a24f02, 0x3599c859, 0xafb1a2e8, 0x198faac8, 0xec746ccc, 0xc3b63e64, 0xa319e0fc, 0x5bbb31c6,
+    0xf3750451, 0x08490e12, 0x1ee06f72, 0x2c1179d4, 0xf0d1f027, 0x81200594, 0xa87ee4e8, 0xf311a6b5,
+    0xcd3e5bce, 0x0ab42f1b, 0xf058cce7, 0xdbcc6d7e, 0x3728c54e, 0xf855b72c, 0x9f4b4770, 0x59be9876,
+    0x41a7a9d6, 0x73a13fee, 0x2154c1ac, 0xf21ee688, 0x170f4fc4, 0xef96d461, 0x23db27db, 0x79dd0abc,
+    0x76a15bb7, 0x557ca253, 0xfafd5551, 0xb06d06a8, 0x1a53064c, 0x4f1a5573, 0x28b3845a, 0x7bafeee9,
+    0xe4855981, 0xb577a112, 0xd9ab5a7f, 0xdcdfda71, 0x1fe259d0, 0x57197320, 0xcba50c08, 0xfefda632,
+    0x399bf145, 0xae8ee5f6, 0xf82a390f, 0xf5ae42f5, 0x23039870, 0x86688cc7, 0xecf8a284, 0x17db50c0,
+    0x5ab5bee2, 0x54ea4612, 0x9a404531, 0x1893d55c, 0xde3c68dc, 0xb2335397, 0x105f5ef7, 0x694cf69e,
+    0x9cdef9ec, 0xe5d6384c, 0x220067f0, 0xd1d41176, 0x9abaaea1, 0xd419f188, 0x59df6aa1, 0x7d331547,
+    0x9a8197f8, 0x8473d60b, 0x52c232c5, 0xc7f491d6, 0x3f619c1b, 0x3ca4dd12, 0xd80282fc, 0xf04d66ee,
+    0x0b3e255c, 0x2e143c19, 0x61056fdd, 0x8124f0a0, 0x7ee83750, 0xbf542533, 0x8d8cefa5, 0x590556c8,
+    0x7763e96d, 0x1e3292ea, 0x42995a9b, 0x9ac764d0, 0x9b910231, 0xb2fc5970, 0x42bffa63, 0x348827ad,
+    0x04d0d749, 0xeaac768a, 0xe9394439, 0x40214770, 0x77154ca0, 0x224f4801, 0x29ef36c3, 0xd7cceb7e,
+    0xff80c158, 0x0648f592, 0x546c8e26, 0x8632b136, 0x9ca3f25d, 0xa6f65594, 0xa87d8aee, 0x06bb2a60,
+    0xe60ebe52, 0x4cd84d9f, 0x03e83122, 0x3283c93c, 0xc6f00d6e, 0x6b94c461, 0x8ec0a85f, 0x2508b9b2,
+    0xf1e4d4a9, 0x3cee3e7e, 0xe11fe9e1, 0xc7ed89c6, 0xc52c7a96, 0x1cd3903f, 0x03c37d73, 0xc84fec06,
+    0x4fc20a82, 0x1252fd17, 0x15092f7b, 0x65b1673f, 0x565f3b15, 0x362eba3d, 0x1ea50137, 0xac5e2ad8,
+    0xf19ef6f2, 0x168dcec3, 0x0aa5d280, 0x21460e85, 0xd12f6d5f, 0xc8fe0fa8, 0x3fe017f6, 0xd68e0ce8,
+    0x77be2491, 0x611be924, 0x79b4f737, 0x68d3bf06, 0x42adb112, 0xde7e8443, 0x1ba3c779, 0x5c376dcc,
+    0x9e22a482, 0x4b8b4237, 0x256176d4, 0x656b67e7, 0xaa293f6c, 0xa5dfe6b3, 0x944593be, 0x2e4c8bfb,
+    0xcd524cff, 0xe8d62587, 0xc98113ff, 0xe16207f6, 0x2fee6217, 0x25c67e85, 0x5bdccc6d, 0xe91bcbd3,
+    0xb3723c94, 0x8f394cc9, 0x889f7ffb, 0x916be20a, 0xca07ffb6, 0xa1a0649e, 0xb4dbd9e8, 0xb2f4d7e0,
+    0xd82ba4e0, 0x4fe39b8b, 0x3c7b57b7, 0x05bead9a, 0x191e5263, 0xd9c139f9, 0x153669d8, 0x6a2b141b,
+    0x7259c07b, 0x74ccabbb, 0xe539f9d7, 0x95669c0c, 0xb115a74a, 0x755b1b00, 0x62e027fd, 0x0bbef117,
+    0xbcf904cb, 0xdc5253f3, 0x18c6c3c2, 0x7d8f99da, 0xc9c7661c, 0x7286a871, 0xf79a8b26, 0x28e50139,
+    0xec9f89c2, 0x5bc3a7bb, 0xdd609803, 0x774d14bc, 0x7ed466e0, 0x156397b9, 0x64b69ca4, 0xe57241f6,
+    0x4f3d24ae, 0xeda7fd03, 0x4ecb2691, 0x32dd65a8, 0x6ca843aa, 0x9c06c64b, 0x21b16b31, 0x17a4a28a,
+    0xf2414334, 0x24b6517a, 0x30b58ea4, 0x2d458d95, 0x3f669a4f, 0x011fc423, 0xf5adefba, 0xfcb94998,
+    0xd7618e9b, 0x83374ade, 0x38fa3430, 0xdf0ec412, 0xf964450b, 0xe34b622c, 0x74c34984, 0x3079d927,
+    0xce31d2ee, 0x334bbbbd, 0x2498923d, 0x29e81eb2, 0x2552f7ea, 0x9f75c089, 0x1893bb7c, 0x503fd3ac,
+    0x2c2b3329, 0xc8074b09, 0x9833157f, 0x07ec28d6, 0x13da053e, 0x9cd9b2b3, 0x4a45218b, 0x3d44e7cc,
+    0x694aec65, 0x75968d16, 0x60851b95, 0x54d6e468, 0x4efb1833, 0xca1e44ec, 0xb7913f84, 0x3c138b4b,
+    0xc133b9f4, 0x4a8c83d6, 0xa78ee1ea, 0xa886f66f, 0x3bda7e98, 0x57425fda, 0x41bf5c07, 0x611c88ac,
+    0x81399ef3, 0xafcdd388, 0x18b97354, 0xc9d20588, 0xed946bd4, 0x07b27e85, 0xf474194f, 0x0dd64463,
+    0x33e3aaec, 0x37b553ca, 0x2e643ba1, 0x435ace7a, 0x9aeabc27, 0xd1b60144, 0x77a22fe6, 0x03aa10d2,
+    0x11868d05, 0xaba0ec45, 0x92c83318, 0xf7079ef1, 0x30796e9c, 0x128c7baa, 0xa54c6556, 0x9c87fe5f,
+    0x898d73d0, 0xc98460d7, 0x42497426, 0x57709c67, 0xa3d8466d, 0x3da7467b, 0x9bf80c08, 0x8ab9c694,
+    0xd892e63b, 0x9bb369af, 0x75c0ac50, 0x788d553e, 0x77089e41, 0x11984488, 0xaa00abcc, 0x5eb33a50,
+    0x91125602, 0xf57b4d92, 0x381c55c1, 0x579eefb3, 0xef168167, 0xb5aeb1b9, 0xc5beb154, 0xe4aa2b65,
+    0x582ab5d6, 0xb89841bb, 0xae78ab8b, 0x3d670686, 0xd379edab, 0x01b8dd9b, 0x58c92258, 0xf4c4f01a,
+    0xa548121c, 0x368ac87f, 0xae3146be, 0x6778a5ab, 0x4fc80b69, 0x5f6c0074, 0xb948d034, 0x29d9d0d2,
+    0xae48ef6e, 0xa2479b9f, 0x6da79b61, 0x8c9c8c45, 0xc35d47d5, 0xe26b1406, 0x59748a46, 0xf2623e8b,
+    0x8fb12ac8, 0xbe87fdfb, 0xacc00568, 0xb66782f5, 0xce8cc351, 0xa0136b1f, 0xe1863b02, 0x9bd1073d,
+    0xdc27dfda, 0x5265424a, 0x0852c2b6, 0x23d65270, 0x5fe97e86, 0x7c5ae0f9, 0x4eb37d74, 0xdff067de,
+    0x90fb36e3, 0x1091149e, 0x6af14923, 0x1fd70f46, 0xd6b02831, 0x3bab4234, 0x25f7a2bf, 0xab4e9561,
+    0x2665627d, 0x42045874, 0x4bda258c, 0x9dd71cc4, 0xc9c8852f, 0x70966279, 0x38fd8005, 0xa0c68261,
+    0xf50938e3, 0xc2ea4b6e, 0xe985c131, 0xfde359d4, 0x12612589, 0x9ffbcfe5, 0xfc9939dd, 0x11be4702,
+    0x2d2a5984, 0x100b4bf7, 0x8cd51398, 0x926ebe24, 0x582086ed, 0x11e7d9b3, 0x0ae02ce0, 0x0bbe9b85,
+    0xc6e55fff, 0x7e0da34d, 0x9c7473ea, 0x1d336029, 0x7c67b038, 0xbb7af480, 0xbf830490, 0xac7210f5,
+    0x9ec931c8, 0xfc18423f, 0xb7b523fd, 0x79e2e1ee, 0x483d0c65, 0x325bc1a0, 0xb39399e3, 0x73f79ca1,
+    0x5911edd9, 0xc3df0b7e, 0xf05199fa, 0xb7dfa975, 0x7415d98e, 0x7e980e54, 0xdd925682, 0x476ccda4,
+    0x8195bc90, 0xdf0ac7f6, 0xa65f5f92, 0x8c0c80b9, 0x6237884a, 0xbd34523d, 0x00536c49, 0xcb666ba6,
+    0x030a4983, 0x085cead7, 0xf5b9362f, 0xee3ca52c, 0xba0d748c, 0x14433b8f, 0xba3ee4ed, 0x450359bc,
+    0xe33e8f88, 0x51c34df5, 0xbbcc08ec, 0xfdc94291, 0xa20de99c, 0x5eecc9c3, 0xccba0aa0, 0xcb053218,
+    0xe58a508d, 0x871c413b, 0x787010b7, 0x71d444cb, 0x5aaf408e, 0x89f1d455, 0x8740b52d, 0x575e0ede,
+    0x17530704, 0x419ba919, 0xd1d0b7b3, 0xc25d5778, 0x92bf7c9f, 0xe4af705f, 0x63cc841d, 0x2ad61ba8,
+    0x3b2e91a2, 0x6af84d57, 0x38ad4676, 0x1cd56c0c, 0xc86655e4, 0x324968c0, 0x451c4ef4, 0x429013d7,
+    0x9086b471, 0x95cbd965, 0x5bb51138, 0xd65b3a25, 0xf26bf9ac, 0x30abf46b, 0x836a11f5, 0xcbaa5472,
+    0xc75a7138, 0xfb6d7654, 0xe1d13e10, 0x2019850e, 0x78cd535e, 0x6be1cf6e, 0xafe4f4f6, 0xaa292525,
+    0xde365273, 0xef1b501b, 0x5543fb51, 0xfc982e4c, 0x9a6743a1, 0xb60ccb03, 0xadaf0cfc, 0x458d7cb4,
+    0x3256e190, 0xa08997a7, 0x6183fc8b, 0x607d9e23, 0xf38b02b0, 0x4b21215f, 0xb43084c0, 0xf7e025b1,
+    0xf76e3326, 0x363c2b28, 0xf765c7af, 0x658e18da, 0x37ae6aec, 0xbfc3f9f1, 0xbf171404, 0xac4faed2,
+    0xbe7fb532, 0x1bf46a67, 0x3a4a23d4, 0x6a873886, 0xf86aa750, 0xaa0dd6f1, 0x093630f9, 0xddd3580c,
+    0xb3c0e1c5, 0x92b3b727, 0xc6f5d9de, 0xbf016cbb, 0x2d8e8f5e, 0x08fca112, 0xd729041b, 0xe33c13e7,
+    0x5f455e28, 0xb5cf3d92, 0x7f51bfe1, 0xf974ed09, 0x8c060a01, 0xba97af10, 0x3e283cc3, 0xe3b9f121,
+    0xcd17139a, 0xa8fcb135, 0x17adb589, 0x154043e2, 0x9254cf70, 0xf82a9851, 0xf0a40275, 0x9d9ecf95,
+    0x6fc12dd2, 0xbd413ec8, 0x6caed1d3, 0xcce49477, 0x40671c29, 0x661b2738, 0xfab1cbcd, 0x1f8f5066,
+    0x7d85d7a8, 0x5a33b5c2, 0x480f6aa8, 0x108c0747, 0xe0733d5f, 0x4b9ab50d, 0x87bef06c, 0xf4249c3c,
+    0xa4288a5b, 0x4de012f0, 0xcfaffc02, 0x3e8a5713, 0xd9ae7c68, 0x72e0fe4f, 0x52b21eb8, 0x37d623b2,
+    0xc287c33e, 0x129a8c2d, 0xf02ff4a3, 0xf3977de8, 0xf164ef49, 0x5f47b459, 0xa4aa4731, 0x10f70c55,
+    0x7ea708ff, 0xa48ad45c, 0x62cd838d, 0x419fe3e4, 0xc00817c8, 0xd1e144a0, 0xe4016c6b, 0xd82c007a,
+    0x00000000,
+    0xe042c454, 0xf4c5f335, 0xa6fefa30, 0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8,
+    0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000162962878106758\
+                          88690147565507275025288411747149327490005089123594835050398106693649467179008 */
+  { 0x00000000,
+    0x21ebf308, 0x5a50ddfd, 0x1308d38d, 0xb7c719b7, 0xcda3ce87, 0x103c7c55, 0x29630255, 0x05394735,
+    0xb1fc35aa, 0xec42aa62, 0x778e5713, 0xd2367a92, 0x5bdcaf0c, 0xbbe8a575, 0xfcf25dc0, 0xde41237c,
+    0x8ecdf137, 0xe23fd5d0, 0xd3618161, 0x88052cd8, 0x900a54bf, 0xe480a29e, 0x2e992668, 0x3c09a291,
+    0x31f36239, 0xf7465444, 0x98f997ac, 0x4bfa4bb6, 0x26e3fc45, 0x4d507771, 0x8acb8ec9, 0x8b464b05,
+    0x93639800, 0xf18d2de3, 0x8c1aa768, 0xc53735ee, 0x4b9d914b, 0xe200f517, 0xbc6f2c61, 0x13cf1cda,
+    0xe7229bad, 0x61391721, 0xcc80c3f3, 0xbbde587b, 0x61d2bed6, 0xb8dd42e9, 0x03d0ae97, 0x05745c02,
+    0x68407eca, 0xe4dafc5e, 0xcd35a9d7, 0xc5193e4f, 0x4ad0fa8c, 0x5f786ec2, 0x2c4deaf2, 0xc4e385ac,
+    0x54ed66f2, 0xfacfa97e, 0x8045cad6, 0xa815de5b, 0xed3adae0, 0x618e0df9, 0x4b60521c, 0xae7d43a0,
+    0x6b52c557, 0xee795a36, 0x62360d91, 0x686e70c0, 0xcad1b43d, 0xc6d876ce, 0x8b2268cc, 0x0c977cd1,
+    0xa578ff2a, 0xc46896d5, 0xc277be81, 0xa2703018, 0x5847862b, 0x87415914, 0x7599d424, 0x265c76cf,
+    0xf6c1c2ee, 0x4b560958, 0x399b9a94, 0xd9c91025, 0x8188dafd, 0xb0fbea83, 0x57cc29c9, 0x1dff289f,
+    0xb2d8bdc4, 0xa0f4bb2a, 0x6ec59195, 0x3138c19b, 0x32c40c2a, 0x88c95e5a, 0x8f40bebc, 0x552c4ff9,
+    0x1fc9770d, 0xc77322f5, 0xca8b303f, 0x0409ad35, 0x03e844c2, 0xc1cc7f0a, 0xe74a2303, 0x00d06055,
+    0xb0e405c4, 0xa23e66f8, 0x7701acda, 0x9c5da867, 0x5d5169e6, 0xef03dcda, 0x7520c16f, 0xe3a04f67,
+    0x800d7e22, 0xe7010192, 0xf76cdb9a, 0xc7e61440, 0xc31cbb23, 0x6a8ce1b9, 0x12773e3d, 0x70e11edc,
+    0x0a388c14, 0x9e8a7025, 0xb051399b, 0xc8ba7e0c, 0x6d628e65, 0x4258ad0b, 0x04247d1b, 0xf3f88aa2,
+    0xd2ae7460, 0x4f63a473, 0xb8f6533d, 0x858fd9c2, 0xcaf979e2, 0x597b8ded, 0xbd270543, 0x719fb1aa,
+    0x8c65217d, 0xebc4ae09, 0x18574c2b, 0x8147e2d2, 0x98a86b2c, 0x3c03c514, 0xc7af8b91, 0xd9a65d8a,
+    0x5ea472d1, 0xee8e130e, 0xaa218410, 0x4575ddf4, 0x39176010, 0x7a635ccd, 0xcfc4f696, 0x05ef9479,
+    0xc8f9c288, 0xb7f1717a, 0xb4ab8756, 0x99479235, 0x5aae08ae, 0xe0668084, 0xbd8989ff, 0x735d1358,
+    0xbd46cd71, 0x9724e858, 0x29b91a74, 0x54987115, 0x6d1e4b06, 0xc5deb050, 0xee7b64c0, 0xb252456e,
+    0x46dcfebd, 0x97162741, 0xae870c95, 0xfdf53038, 0x42c25429, 0x4d75b21f, 0x3dc66291, 0xade11e17,
+    0xd095a385, 0xd0152772, 0x2a796316, 0xa4234692, 0x0eb0ca77, 0xd02a0018, 0x81eeef92, 0x0578b0b2,
+    0x221deb97, 0xef771fbe, 0x1ef23ee1, 0xeb78d68d, 0x09b1e9a0, 0x672fa138, 0x576027ad, 0xa33d14dd,
+    0x827f3f88, 0x98082bce, 0x282c5132, 0xe9a8de0b, 0x57b718e6, 0x31129a2f, 0x2fcf68bc, 0xc9a71dc9,
+    0x544d7903, 0x66b5ccc1, 0x317ea567, 0x5074da2d, 0x7d77b677, 0x2459fdc9, 0x3f82ca71, 0xd37f2be7,
+    0xc308c5cc, 0x49b28351, 0xa356d747, 0x0c99dfb9, 0xce8cbc05, 0xf551305f, 0x499ab7b2, 0x46f41bee,
+    0x97ca6412, 0x46d097f0, 0x8f2e368f, 0x677ffdc5, 0x935aa8f9, 0xabfe84ee, 0x7f4e1c26, 0x86efb7a3,
+    0x6276a87d, 0x501e2b0d, 0x6dec6573, 0x31ea013e, 0xb153cb77, 0xf5b0f092, 0x43437b87, 0xd6cc5b6e,
+    0x47aa58cd, 0x32b05352, 0x30eb79b4, 0x2b5e21b0, 0x2aa5ea2f, 0xdb78ab11, 0x262cc91b, 0xbb19dd99,
+    0xf4687794, 0xab722e8e, 0xdc641264, 0xed0b380d, 0xcc149eef, 0x7aa0996f, 0xa4077621, 0x91a85c86,
+    0xac507825, 0x2ebdd5ab, 0xbbaa3cf8, 0x3e7888d0, 0x95c57b3e, 0x2a02b223, 0x0f765bca, 0xa39acd77,
+    0xc8740c7c, 0xf707905f, 0x58de41b7, 0x2084d1d6, 0x310c0fad, 0x89c37371, 0x38634d9e, 0xa4a78ae7,
+    0xf5132312, 0x1147bce1, 0x53d87fe2, 0xa8993ff2, 0x3614288f, 0x87e4c8d0, 0x997e58a3, 0x9e337953,
+    0x29d5bad6, 0x31a8d0c4, 0xfba1ef4f, 0xc58ab0ff, 0x012268cc, 0x7794d6c1, 0xffa97617, 0xd6ab4003,
+    0x05d7893b, 0x615e78fb, 0x7d4dab57, 0xe8a733db, 0x9502f0e8, 0xb363dc6b, 0x5fc095d9, 0xcc6d1aa4,
+    0x60794a55, 0x0960a91b, 0xe47eaf7a, 0x6748a8bf, 0x51c74343, 0xebb7960a, 0x799d7556, 0x193951d6,
+    0x03240808, 0x2952fbef, 0xdf35623a, 0xe4f411ef, 0x41dfaef2, 0x14f1659c, 0x5a83a0ae, 0x8f110618,
+    0x996de6d4, 0xea036737, 0x3dcabe6c, 0x6e91e719, 0xbcb57471, 0x38411a3c, 0x8c4953ba, 0x0695729a,
+    0xa4c6e07b, 0x163d1684, 0xd7c0cc8f, 0xfd79b068, 0x34f21250, 0x00dac826, 0xa1f6cef6, 0x0c5f338f,
+    0xf01566d2, 0x7bf94bc8, 0x702de4bc, 0xb3e69c8b, 0xca31a0e7, 0xb1b04169, 0x3de8f4f5, 0xde10f3d5,
+    0x7a580515, 0xb759f0dd, 0x4374e014, 0x5e12fcd2, 0xf2e746df, 0xe2ed6cd1, 0xdad30d7e, 0x7b752f29,
+    0xc2ec9afe, 0x4bb09aee, 0xd08d34f8, 0x6069f065, 0x3366b12c, 0x2d389b7d, 0x0d0725fe, 0x7446e860,
+    0x2162997f, 0x299cbbe6, 0xe07cfebb, 0xfe1b5c3c, 0xe7070029, 0x2e4b4e2c, 0x240ad6bf, 0x86b6393c,
+    0x9048ead8, 0x76c9a53c, 0xcd88a682, 0x0c09f733, 0x23ac35ad, 0x31d06e69, 0x6e0d40de, 0xf40ee09b,
+    0x44a7c6fb, 0x4a277781, 0x224da2f1, 0xf94b6819, 0x666658fc, 0x7de7b44d, 0x003adec9, 0x6fec5918,
+    0x2ddea1ab, 0x49572065, 0x0d8f9188, 0x02c136fd, 0x5675a2f1, 0x55127178, 0xaf0c5d43, 0x140b622f,
+    0x1cc0d51b, 0x8ddd0649, 0x5a5a296f, 0x240e6287, 0x03185553, 0x038170d1, 0x91691e4e, 0x3c768421,
+    0xaba3a5fb, 0x9bc2e240, 0x69048bb3, 0xd579fea4, 0x6c7e7c77, 0xd20fb527, 0x373a4cc4, 0xb3183e14,
+    0x166c0e2c, 0x8b6963a4, 0x1faba857, 0x4f14004f, 0x7cd3eb60, 0x4740f308, 0x32ffb8ac, 0x68c51c8c,
+    0x5e1d801e, 0x66eb4412, 0x5e0eec07, 0x4c8cd8c5, 0x15060ffb, 0xc52f7f2b, 0x902359b7, 0x19079c0b,
+    0xa8f907dc, 0xa04acb57, 0x3aae2b66, 0x1447c256, 0xbb402e4a, 0x6564ee5f, 0xbe1372ed, 0xf30f80a4,
+    0x5e73d6af, 0x70d51f8c, 0xcc77af10, 0x47b76bf0, 0x1f29e46f, 0x6e5ba0a4, 0x91d6e72d, 0x248b6819,
+    0xec2dc82c, 0x21e4d436, 0x73ddbb98, 0xc1d6d8fe, 0xcc8fabd6, 0x04bf7d60, 0x856c6d6d, 0x6b2aa098,
+    0x0d621036, 0xf47f7a0e, 0x7c90a162, 0x79503dc4, 0xa4aff8cc, 0xfbd8df1f, 0xf102098c, 0x5a27506c,
+    0xa23c9f85, 0xf5eb7b67, 0x59a058ed, 0x0d34a3be, 0xb3379872, 0xe1505dd7, 0x2bed827f, 0x3f4e7cb8,
+    0x04e795fd, 0xd95fa1a2, 0xdbb6ed5c, 0x0d9aa115, 0x1b99083e, 0xd2fe5bdd, 0xd49da63b, 0x41b4bbac,
+    0xe008f9ca, 0x0851cc37, 0xb1ffae70, 0xe1bc8632, 0x4483ea8b, 0x21cf416d, 0x436cafe3, 0x0bc5cc1f,
+    0xc1bff011, 0x110d1206, 0xe36250f1, 0x0bd8728d, 0x2f575138, 0xbcda74f0, 0x23661c02, 0x90c8b1b7,
+    0x1516d46f, 0x5c04fb66, 0xae18608c, 0xd21b30aa, 0x2c03ce33, 0x81b67bb7, 0x4a33ad93, 0xb6bdc7b5,
+    0x1aee180a, 0x8576a682, 0x69eb7f33, 0x70650ea8, 0xdee8e8d4, 0xa5119163, 0x837e89aa, 0xb403d49c,
+    0x7cea1e74, 0xcd2e3c86, 0x78931b43, 0xa6d5781c, 0xf39198c1, 0xc56f1400, 0xade9f4a0, 0xc6a39c92,
+    0x4dfcf7f3, 0x5a56af5f, 0x7a41043a, 0x3c8d2303, 0x15bb3b7e, 0x29ebd880, 0x38301399, 0xb28a5197,
+    0xd1fa712c, 0x1f2ad6f1, 0xbd76c46c, 0x8ea41764, 0xd9255bd9, 0x18de04e2, 0x4d0d303e, 0x6a3b0ab1,
+    0x58da6209, 0xac79f7b9, 0x150ca64c, 0x1175b7ea, 0x5748cc3d, 0x85128a9f, 0x912570e3, 0xdbd7d2d1,
+    0x77095ae2, 0x7268b2dd, 0x1e81a30f, 0xc63e709d, 0x9548fe7b, 0x670e99bb, 0x5c76d883, 0x5306bfa2,
+    0x56b9d4b6, 0xdabab719, 0xa4a874de, 0x860578c6, 0xb3894950, 0xd88dfdef, 0x6a7bb169, 0x2121785b,
+    0x21ff9c3e, 0x3ac8b685, 0x56f4cc54, 0x4424cbed, 0x262f4c47, 0x65b14202, 0x1d64ee7b, 0x54f81321,
+    0x7d940691, 0xa48c3bea, 0xe95001df, 0x93a211cc, 0x5f678c08, 0xb6dd374a, 0xecd448e6, 0x07c76790,
+    0xf35a2c09, 0x956af3e1, 0x3222dfd3, 0x1fb81fb8, 0xb4790345, 0x4d4300bc, 0x54661a16, 0x3ffef151,
+    0x30ee562f, 0x65ba6794, 0xbc8ec807, 0xfd1d0915, 0xcab5f149, 0x10dd7033, 0x55ede0f6, 0x09fff30b,
+    0x2bce8f6e, 0xb4cd1243, 0x5281d029, 0x0a1b9635, 0xedebe386, 0x40c9b2e3, 0xc07a6829, 0x49dd271b,
+    0x1b6febf0, 0x333e4ad6, 0xcd914dcf, 0xa8e70262, 0x522eb63c, 0xf00312a8, 0x1e7aab49, 0x1df019ae,
+    0x5dff0942, 0x257357f0, 0x7efa26d6, 0xd1904b94, 0xda4d05e4, 0x656fb2d4, 0x38e788bc, 0x8b9dfe61,
+    0xa15577e8, 0x674b3f07, 0x1b653981, 0x469ee735, 0x806d0b48, 0x59306c94, 0xa6c2d670, 0x4b0dc619,
+    0xc50b37d1, 0x6cdfe23b, 0x44e233a6, 0xa960be4c, 0x546a202b, 0x1932a9f5, 0x1c77a514, 0xb51023e1,
+    0xfe0f33f5, 0xefc8aafe, 0xfdce1841, 0x3905adcc, 0x72a32ce5, 0xd3724869, 0x0cd66de3, 0xa4a9027c,
+    0x351ce37a, 0x7cad0aee, 0xdf727c65, 0x830f24ae, 0xc0a4b303, 0x8ae76553, 0xda431dd7, 0x29bf573c,
+    0x2913c0b7, 0x976cd701, 0xcd64b6b6, 0x1d8853a7, 0x08881aa1, 0x09d6c236, 0x5e7cb105, 0x207e03e1,
+    0x6a601db3, 0x996263eb, 0x7939ed68, 0x391a2a5c, 0x713e0e58, 0xcc1d6e72, 0x342b9855, 0x5269bda7,
+    0xb8fc718e, 0xd72613a5, 0xa27b91ce, 0xf55764d2, 0x8e0347c8, 0x702fd753, 0x8122d643, 0xbeea472f,
+    0xb6226c43, 0xcfd66f6a, 0x6fcc9f0a, 0x18ffa3a6, 0xfdd1b46a, 0xf8930961, 0xd4dee603, 0x0f19b604,
+    0xf1c48ee9, 0x43a73bb2, 0x0aae77dc, 0x19daa895, 0x32b9be20, 0xb845c259, 0xd1da2866, 0x07793cd7,
+    0x0798a308, 0x4278287d, 0xee603c32, 0x1565618b, 0x2c854031, 0x0f4d4f29, 0x10c47a0f, 0x45e0c723,
+    0x658eb8d0, 0xd8cd27aa, 0xd57bf8e5, 0xac0fa8c0, 0x073c2388, 0x3016b55e, 0x23961f23, 0x59b85f96,
+    0x0e2b85db, 0x4b666530, 0x0f81c10b, 0xec29c7ff, 0x16aef0ad, 0x390786a4, 0xbd7b2a41, 0xee18b97f,
+    0x82e61f53, 0x7a47d031, 0x802f1419, 0xbc07d1a8, 0x7d351cee, 0x458561d0, 0xb8077828, 0xa0e50899,
+    0x4877b882, 0x18a68cc5, 0x0ded98b6, 0x2ce5d170, 0xb1974e3e, 0xa0986c58, 0x6b62b3ea, 0x1bd96ca4,
+    0x7f698c8c, 0x86c2a26f, 0xba82b6d7, 0x20ba7e8b, 0x364a44b3, 0x31c47673, 0x9e77fd7f, 0x1e6a79b7,
+    0x18cb1252, 0x9edc3b8f, 0xdeb43ab2, 0xea80b25a, 0xb00f656a, 0x2be8cf44, 0x005ff6a0, 0x18664c23,
+    0x6ef4923d, 0x10d8c49a, 0x13c57d19, 0x9d1d0fc9, 0x53447067, 0xda9e6e32, 0xa68cf6d5, 0x66358de9,
+    0x5ffe498d, 0xecf7ffd9, 0xc935ea24, 0xc49277f4, 0xafd0b1a7, 0xb905ecb3, 0x7b0125f4, 0xf6152a2c,
+    0x9279c140, 0xa5d017a5, 0xc3adcca2, 0xddfe9646, 0x35f0e16c, 0x79e16daa, 0x5d416f60, 0xe334aa5f,
+    0xa5a8e3c9, 0xd16c59eb, 0x4df0f657, 0xce7acc76, 0x1b9320e3, 0xc7e79773, 0x40ac5958, 0x1aa7832c,
+    0x1907ddf4, 0x4e478a9c, 0x15232b20, 0x008bb25d, 0x862e7ce2, 0x3c855cf2, 0xd78e2cb3, 0x8fe0fffb,
+    0xec6dd4ac, 0x643bb598, 0x48850105, 0x64812f40, 0x62c63bd1, 0x9ffa27e1, 0x8ecd4139, 0x64f1d41a,
+    0x94d14781, 0xe90886f2, 0x14b1fe94, 0x2ac1d989, 0x15e4ae70, 0x8f892578, 0x296d05fe, 0x07c8dce3,
+    0x3ff1aa34, 0x6969d1da, 0xd3b6b248, 0xea6e8c31, 0xd75ec123, 0x039e05a4, 0xa0110489, 0x885650ff,
+    0x06623f3e, 0xfe27a694, 0x3cca1f9f, 0x85ef6a4b, 0x127895ce, 0x1b215d5c, 0x4feaac18, 0xb5565eeb,
+    0x64d1d302, 0xd16e36bb, 0xa25a87df, 0xd4a9fcc2, 0x76bd7099, 0x0144a1f4, 0xbb6d0a82, 0xff118232,
+    0xc248e64e, 0x589224ee, 0x33a5976e, 0x03c46cd2, 0xab75d0bd, 0x0629dd64, 0x2d2e109a, 0xb981d683,
+    0x857d4a98, 0xb2f75fda, 0x290867b5, 0x8e9636e5, 0x4ce75116, 0xab95be5c, 0xf412c3bf, 0x2e84c7f4,
+    0xd9c151f8, 0x00e7f188, 0xd1365cbd, 0x2996ce4d, 0xa6efd243, 0xd2c47fef, 0x463b3aba, 0xb9a0ad81,
+    0x3f23b100, 0x64f96291, 0xc39610d8, 0xaeb7baa6, 0x344b1262, 0x26c3d168, 0x3d261afd, 0xd7947c90,
+    0x9a44d548, 0x439297cd, 0xf0bc0952, 0xf5b2cfeb, 0xd5b49287, 0x72afad83, 0x9e390a94, 0xdd6154a7,
+    0x51acfad4, 0xad5fe513, 0x9a9ec1ba, 0xabbbc194, 0xf127cb4c, 0x22601961, 0xa9261bdc, 0x3224c985,
+    0x5593a48b, 0x87d6dacc, 0x54330d35, 0x4ca01820, 0x195de8db, 0xace6c840, 0x08832182, 0x048de103,
+    0xdd377f9f, 0x5af48b0b, 0x49bf7f3c, 0xcab67a37, 0x04a5a7b2, 0x4af8acf6, 0x02c1b2d4, 0xe849ef2d,
+    0xb5ffc3f9, 0x2f55d346, 0xbebe3a72, 0xc9350e9e, 0x8001ba2d, 0xfd50dd96, 0x523ae600, 0x1f2912b3,
+    0xcfe35083, 0x77c37e59, 0xbf8addaf, 0x4accc502, 0xcc2874f0, 0xfcc72734, 0x4617b6c4, 0x96c9bed2,
+    0xc9deb377, 0xd1018773, 0x639ee859, 0xc441a991, 0x19bb641a, 0x9c64655e, 0x4a6d9863, 0xa5f642ba,
+    0xec8fe953, 0x9ee9d70a, 0xc1feff51, 0xb12f349a, 0x93c88b66, 0x9576a778, 0xe2f7555d, 0xab5087eb,
+    0x5b435cd5, 0x978cef08, 0xd76ab849, 0xabe2f1cf, 0x1d36dd0b, 0xa529e746, 0x77dcc9bf, 0x017dc176,
+    0xac2dd464, 0x6cf7d37a, 0xd0c24b7b, 0xf9469512, 0x379d3c94, 0x2639cfda, 0x2b7ba7c9, 0xa91d2166,
+    0x6ffdaa1b, 0x4fb9c81f, 0x0c629b8a, 0xd0e0c6b1, 0x9c53a466, 0x82161ac7, 0xa543d1c6, 0x86ce2ae4,
+    0x6df9f780, 0xa9cc2b60, 0x675682ca, 0xb140071c, 0x6e37df1b, 0x6259f290, 0xbbc3aaa8, 0x175de1e6,
+    0x7e153e7a, 0x07125775, 0xb213d34f, 0xfcb1393b, 0x813cc030, 0xc2abb283, 0xcf39d66d, 0x7d33e9c8,
+    0x4691e2be, 0xbd392093, 0xf21d39db, 0xa7f0d77c, 0x963eff2c, 0x79520bc0, 0xff279035, 0x00f2f26b,
+    0x7b137527, 0xbaeac7ef, 0x32f52ac8, 0x84cdf635, 0x6e041e15, 0x312133e4, 0x301ef927, 0x734bde2b,
+    0x912bb9cc, 0x232fb77b, 0x47431f2e, 0xec3dae02, 0x191df165, 0x3b7aa5b4, 0xc622673b, 0x357b208c,
+    0xd1c4d4ac, 0x4fcd588f, 0xc52986db, 0xc18e243b, 0xa95333d4, 0x53ff3245, 0x9845b083, 0x6c5e7475,
+    0x45866ee5, 0x941b9d66, 0x9f06f29e, 0x04520183, 0xeff192b2, 0x2c1b3473, 0x824619ed, 0x87e0114a,
+    0x8d4dd5b9, 0x15efd91b, 0xf377f1b0, 0x633e2e67, 0x21ed2dff, 0x3a370740, 0xae994f91, 0x1abda1cd,
+    0x25177649, 0x1d6c334e, 0xff380d6a, 0x56d083d9, 0x23ec10ff, 0xd255f985, 0xb49ba69a, 0xe3e2964f,
+    0x00b17a2e, 0x10cd62a1, 0xb527d1b7, 0x81d12fa4, 0x85bd7f18, 0xdf7c3a7a, 0x96ef0f71, 0x229c9d17,
+    0x0725a6d3, 0xdd306fe1, 0xfbd4519f, 0x9a2e5ca7, 0x07f53b27, 0xa95a551a, 0x7dff02c6, 0xeb3e9b53,
+    0x00000000,
+    0xf0216229, 0x7a62f99a, 0x537f7d18, 0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4,
+    0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000081481439053379\
+                          44345073782753637512644205873574663745002544561797417525199053346824733589504 */
+  { 0x00000000,
+    0x5a5d6869, 0xa60ae0d5, 0xc95d0a84, 0x876cc46b, 0x79ef861f, 0xc66ce54a, 0xb567b1a2, 0x443922e5,
+    0xa81c62c7, 0xcc23ac68, 0x57cdf085, 0xf2723182, 0x5959893c, 0x40578f0f, 0xdcf83e51, 0x7f194f2c,
+    0x863e0aa1, 0x835e9a75, 0x4ab6dfde, 0x35fa9761, 0xb644141c, 0x9ffee28f, 0xe5ce597b, 0xcbb083f1,
+    0xf4f9094e, 0x38bccadb, 0xf3fd1a8b, 0x8a038dd6, 0xbc1aa89a, 0x006c39dd, 0xe03ec36f, 0x37a11f8c,
+    0xf49cbc5a, 0x66bb35d8, 0x5cf0b503, 0x082df3ed, 0x769fc8a1, 0x168c0bf6, 0x20fd5ea1, 0xfa02f7dd,
+    0x7b6de58f, 0x55424b41, 0x63c4e911, 0xc099d204, 0x7ee8dc85, 0x8a246d61, 0x0d34544b, 0xdf58a1b2,
+    0x5f361f0c, 0x7d97a475, 0x44769cdb, 0x9c800e40, 0xcec4b223, 0xe94c5605, 0xdca6e192, 0x4be53588,
+    0x21fcd7d5, 0x3fcc4fab, 0xa8223f92, 0x06a33702, 0x3a8f06fd, 0x7050eadb, 0x4ee0527b, 0xafff7f3e,
+    0x3833b124, 0xe419807c, 0xd9af60a9, 0x27fc65ed, 0xeacf2087, 0x96b544c6, 0x1fa23989, 0x1659c0c3,
+    0x8d2ad720, 0x50f73b46, 0x6f889959, 0x816e63d0, 0x32715ae4, 0xba5030d4, 0x3baab41f, 0xc10ed11c,
+    0xf13aa0c7, 0x15720409, 0x3ced8cc3, 0x27f2b4ca, 0x5b3d2291, 0xf02a512f, 0x49db49cb, 0xc6d93e00,
+    0x5b6f68ea, 0x6625f677, 0x3dc46e36, 0x7bd783c0, 0xab0ce939, 0x48a2902d, 0x733e3baa, 0xf66ded8e,
+    0x3ae02f9b, 0xca7bb332, 0xc2d5faac, 0x52cc8b89, 0x4ea7f3e3, 0x638e4e9d, 0xc063b0e7, 0x03e654ef,
+    0x13430363, 0x2508bac9, 0xfe9ea923, 0xd2d53708, 0x8ca7fc6d, 0xd13c6afb, 0x2796ab32, 0x5a64e48e,
+    0xef0acea2, 0x12a73ff2, 0x210789ca, 0x62dde3bf, 0xb0831b25, 0xcdb0d7f1, 0x62dc2710, 0xbae152cb,
+    0x24a179d9, 0xcde7fee2, 0xcfd65956, 0xc41a32a2, 0x8151a6bc, 0x52a5e8c4, 0xe2795476, 0x1395c3af,
+    0x914092f1, 0xe15bd806, 0x9378516c, 0x27a00888, 0xfbc834d6, 0xb543dfa7, 0xbff2c576, 0xe1e11b35,
+    0x28f8e195, 0x2e4119ad, 0xa2f1668f, 0xfc367f2f, 0x57322748, 0x683910fe, 0xd856b2b7, 0x0b71f88e,
+    0xc1646cf1, 0xe2822c6d, 0x85fbf864, 0x10f47502, 0xb930be92, 0xf496abee, 0xf3286aa2, 0xcdcffa92,
+    0xb1425a56, 0xf44a0b8a, 0x44d3d0a8, 0x21b9a5ef, 0xaba66f95, 0xb6df5544, 0x19a14c54, 0x4ed60b0e,
+    0xf0cf0dd7, 0x0aae4d08, 0x686762ac, 0x2d1f91fa, 0xfff80515, 0xd3158aea, 0xc3bbf4b9, 0x4df7be83,
+    0xb507b58f, 0x69968039, 0xaeb3cff0, 0x04e574e8, 0x005c7af3, 0x295778ca, 0x7243b30d, 0xa6719203,
+    0xe49d0bb6, 0x3db1b02e, 0xed6d3041, 0x6a4640db, 0x3c026f25, 0xa2b76750, 0xb092fc2c, 0x157760d8,
+    0x8e8c0135, 0xfda8c629, 0x167f1383, 0x3cf2113e, 0x6fa0ffe6, 0x3acddafd, 0xc257b95b, 0x90b11af2,
+    0x1f5746bb, 0x45c71086, 0xe81a012a, 0x838832d3, 0x0cd6b781, 0xe9c4f12e, 0x711bdf2a, 0x3a6bc490,
+    0xb9fc5814, 0x57986daf, 0xe5f64b3a, 0x20684611, 0x2de5d197, 0x9b80ee0b, 0x89becc2d, 0xce2c80bc,
+    0x8f5e05f5, 0x5ad7a70a, 0xe701692a, 0x5f00bc75, 0x6c8fd195, 0xa03f72f5, 0xc5264f18, 0xc2d12061,
+    0x193be9ff, 0x0f2a1413, 0xd9e412c5, 0xab9b754a, 0x16b8021b, 0x2622b942, 0x7d190663, 0x05ce9445,
+    0x442907e4, 0x6eda9982, 0xf6658c79, 0x1c903b8b, 0x894419e0, 0xf8382e64, 0xc394da98, 0x3b79c783,
+    0x4560c0fb, 0x15ba1150, 0xd5798aec, 0x3b793ab1, 0x67142869, 0x3214c7eb, 0xda090c12, 0x9f5d8f78,
+    0x61b0da6d, 0x6e243259, 0x7dd3f41e, 0x5b4f406b, 0x0be4c5c1, 0xe12eb097, 0x6ff45761, 0xa5e93048,
+    0xe5dcfc00, 0x5a344ad6, 0xa65831cd, 0x97dbe7e3, 0xd79a0651, 0xc881aa63, 0x3e09a40f, 0x59e87ee1,
+    0x10c25696, 0x29088e53, 0xe376c88e, 0x2c7f17ba, 0x11b94e35, 0x22feb484, 0x8d405369, 0xbd998eac,
+    0x6b5e1e91, 0xf6e4a24f, 0x2981f0b8, 0xc24c7fd3, 0xe8589e16, 0xf7eeb7a8, 0x73a151e2, 0xbce43cff,
+    0x01439d50, 0x88ca2323, 0x37569f72, 0x3165ba46, 0x41598d92, 0xed0729b7, 0xf72daeb8, 0x4ab41193,
+    0xc27f567e, 0x3d17da2c, 0xf35e9dfb, 0x270b95fd, 0x8783007f, 0xe781c9e6, 0x5473ff95, 0x8e1e0d93,
+    0x892fdfd8, 0x0c904d89, 0xbf7846e7, 0xffdecc13, 0x8220494f, 0x154cf381, 0xb143300b, 0x4b3a9345,
+    0x24c1500d, 0xe0b56f4c, 0x83af21c7, 0xc0e6a893, 0xaa0e2b99, 0xca7a5ea5, 0xd51eef8a, 0xc62950d0,
+    0xb80df782, 0xbab91bf5, 0x081ff41a, 0xa46bc43c, 0xb4827dc8, 0xd2dcb9aa, 0xbc9bce67, 0xea110cb9,
+    0xa88b40d5, 0x838c9ca0, 0x5b67a90a, 0xc4a83ac4, 0x126d1d26, 0x1d24b643, 0x87e7d45c, 0x1ecd546f,
+    0x6be37c0b, 0xd4df4140, 0x91359dcb, 0xbc211349, 0x7fd7b657, 0x57c2bcbf, 0xf60cc5c5, 0xc3516ec0,
+    0x63d39359, 0x82ac3154, 0x196e9565, 0x2c204c10, 0xf7dcdc8a, 0x5249cccb, 0xd80d07c5, 0x75cdff05,
+    0x58b8eb7f, 0x631d19dd, 0xcb67e2bb, 0x5913906a, 0x4977e9e8, 0x57a9373d, 0xf2cfc494, 0xca1026e0,
+    0xc6190d4f, 0x5613190d, 0x68b9476e, 0x5dcc57da, 0xc53d44ee, 0x74c4e383, 0x985711ea, 0xa87d885e,
+    0x3e0404dc, 0x45b82ac9, 0x5cb2b197, 0x30f20826, 0x2a64b01a, 0x83cbd2f4, 0xbeb9e8ea, 0xd3d4a75b,
+    0x80a51b13, 0xd7e5013c, 0x217b8a15, 0xdb4ae4d4, 0x060e0054, 0xaabdf75e, 0x0fbf0092, 0x58341e37,
+    0x64269644, 0xf925fb4b, 0x0404ff57, 0xf9ed576e, 0x2a61eccc, 0xbadfd26f, 0x44fa48d6, 0x3aa488fc,
+    0x10297fd3, 0xdd4ce35c, 0x9dbef6dd, 0xc8637abc, 0xf71ec923, 0x11df95b5, 0x04195b06, 0x992e9d59,
+    0xcf8384f4, 0xae6b2454, 0xb11add95, 0xa6433eca, 0x1d2048f9, 0xcde081c4, 0x4b99b120, 0xa1eb75ab,
+    0xe3e4231c, 0x48a9701b, 0x2a91ff74, 0x51beb332, 0x51f5f8b2, 0xee5e806c, 0xdd725d4b, 0xaf486a74,
+    0xc9b536a5, 0x9d4c6a7e, 0xaadbccda, 0x92a85417, 0x06dc681d, 0x86c8cf07, 0x3d9fdb07, 0xd24e9767,
+    0x2557bcdf, 0xac389de5, 0x31a76cd8, 0x7ba91842, 0x1df7a4f3, 0xcc0d8985, 0xc48dabb2, 0x0b6b3a24,
+    0xb18538ec, 0x83a0c923, 0x20e55fea, 0x518d3b05, 0x277b98e4, 0xd04c7aba, 0x20513d14, 0x846b7fd8,
+    0x8a87c333, 0xa9d18c16, 0x93df84da, 0x1fe0631d, 0x2da1a95d, 0x605bf722, 0xa294548d, 0xbbb26ad0,
+    0xe608022f, 0xe01b983a, 0xc91fd44a, 0x8624cea4, 0xca43c522, 0x59028143, 0x3f280bae, 0xa8399788,
+    0x881a544e, 0x62baaff3, 0xb57467d7, 0x8f5d816f, 0xa8c7dd59, 0xe80f4532, 0xcb1a380a, 0x1c6beb37,
+    0x772f97f0, 0xc05d48f7, 0xd1c12620, 0xa5881e95, 0x330e4651, 0x4136a1be, 0xe2c5f692, 0x413b4512,
+    0x35643cc5, 0x3e5ce70a, 0xf223ced1, 0x834137b4, 0x2c13f0dd, 0x95ed2864, 0x6188bd6e, 0x9301d94d,
+    0x47816dd9, 0x4edb3fc8, 0xe61959b0, 0xec0d44cc, 0x0c193f3a, 0xf1cd56b9, 0x535988c6, 0x4d71cc06,
+    0x66a585ee, 0x2909e598, 0xd71ec607, 0xf216d988, 0xa27ad582, 0x0c92580e, 0x35958e72, 0xce12724f,
+    0x2294d68a, 0x238e0cf8, 0x6c7a1103, 0x94c2b68e, 0xcf2009cf, 0x293cffc0, 0x9fc03d50, 0x0631c846,
+    0x7183a4a5, 0x93f21053, 0xa0f8f07f, 0xce46e57e, 0x74a31af9, 0xa85b0ba6, 0xde8a12cd, 0x2c71ac80,
+    0xbacfbf93, 0x43afb9b5, 0x974c1afe, 0xde5c6629, 0xf35e0819, 0x8dd45334, 0x8e7eb138, 0x0e632c81,
+    0x2a81fde1, 0x2f541ab7, 0x97406c8b, 0xf0c2cf67, 0x789508e0, 0x487543dd, 0xef26897b, 0x35c87089,
+    0x48cf784d, 0x16e5d128, 0xa5fa5851, 0x60005293, 0x57637f3f, 0x54c2d3a8, 0xb5932f80, 0x853f3a20,
+    0x7e512800, 0x1a43b331, 0xeeb927cb, 0xf858d86c, 0xbe4c3cfb, 0xb587596d, 0x503f5d7e, 0x37a40a00,
+    0x9aeab72e, 0xc483e467, 0x054fd50a, 0x3857c4f3, 0x7c20dea6, 0x0bc4aa83, 0x5b44b416, 0xe1e177ef,
+    0x63832f9e, 0xd92f63dd, 0xbdead6d3, 0xbb74611a, 0x705d123b, 0x1666fd38, 0xadaf08d2, 0x433dc7c3,
+    0x23f6a9da, 0x4b65715d, 0x50f29bd5, 0x267eddf1, 0x0b8b23c6, 0x5967957d, 0x02e21fdb, 0x38055533,
+    0x2f69bbbb, 0xfbe6ecde, 0x2f2ce32e, 0xb07efa66, 0xefbca4d7, 0xfdeff330, 0x5c185d5f, 0x08fe7d05,
+    0x22d3e6f9, 0x803ff53b, 0x9ac6fe83, 0xb86ab9f9, 0xc85853fe, 0x11b49c42, 0xdd5f3556, 0x18a296e6,
+    0xdf90dd3e, 0x2eafc545, 0x10156409, 0xba0a8de2, 0xd9df8afc, 0x94738007, 0x5e5449b1, 0xf4a10322,
+    0x8e4bf1cd, 0x4a8f32d4, 0x40b53e88, 0x26f38813, 0x193f9fd1, 0xe6fa2ec2, 0x930412b7, 0x923e9dad,
+    0xcab52a23, 0xbb4c393a, 0x0d1685f0, 0x425b97cc, 0x0896985f, 0x05168366, 0x2f3a4a98, 0x21e15e96,
+    0x124ce367, 0xb5668d12, 0xf1cc2abe, 0x01bfe319, 0x189ac2a2, 0x3ca8a26f, 0x1e7f40be, 0xd6e242b9,
+    0x2f9d76f6, 0x3479521f, 0xbb64b8a6, 0x357977ab, 0x04eb9474, 0x5a3725c7, 0xa4c5e42d, 0x90f6881b,
+    0x57e35dd6, 0xf01e3dde, 0x5d50bab8, 0x10a21606, 0x2051fca9, 0x135957ab, 0x574b72b3, 0x6c2e33df,
+    0x2d23e236, 0x972440a3, 0xeae48c46, 0x7edc42e9, 0x715a3de2, 0xdc57b778, 0x9fac752a, 0x2caa03a7,
+    0x80e87e91, 0xa37167e0, 0xb86e507f, 0xaa410695, 0x7ef8d973, 0x3544793f, 0x77e1f20f, 0x74771f1b,
+    0x72e03070, 0xf7d82b8b, 0xde538dd7, 0x876cade4, 0x37993060, 0x84de243a, 0xf8f650a7, 0xa43efac2,
+    0x2960b55d, 0xb825a0ae, 0xe94f0c70, 0x42c9dfea, 0x3c196fe6, 0xd0d3ca17, 0xd4c40b4a, 0x5fc6c5d0,
+    0xc2b0a6d0, 0x0a7053b5, 0x87390d7f, 0x6bff3e3b, 0x51a064ac, 0x9ae95c6e, 0x59e83e95, 0x89a003fe,
+    0x4fc29b9c, 0x9bf21c90, 0x6a3d62e1, 0x158b52b7, 0x81794dde, 0x94e68e9f, 0x2a0cf117, 0x0e2b35ab,
+    0xed7dca26, 0xee907b26, 0x8bb87c77, 0x93ee71db, 0x88ed74c8, 0x4dce28e7, 0x945f212f, 0xf9e9159f,
+    0x64e15624, 0xe89e7190, 0xbd16ef07, 0x84798dd5, 0x83e5d5e7, 0xecd9fc93, 0x9cbf1a9d, 0xc306d167,
+    0x3b1a83fa, 0x6e951734, 0x20e755fa, 0x786b3bc2, 0xc393a2c5, 0x1dc19767, 0xaecd8353, 0xdbdabebd,
+    0xd584f9b7, 0x35386ca6, 0xaa4b2528, 0xc346dd93, 0xa72b360a, 0xc775b3f9, 0x0a5d4afd, 0xea716661,
+    0x8fc62cd9, 0xe549d1ab, 0x89a39323, 0xe73dd88d, 0xaf7b1bc5, 0x21595f1e, 0x9144c1be, 0x39c557d3,
+    0xb9f0030d, 0x0bcb5d8c, 0xbf851b43, 0xb84e1995, 0xdeb1a7f5, 0x3efcc413, 0x064d81d7, 0xd85872b5,
+    0x28800242, 0xcc7ef222, 0x8cf2bbe8, 0x1bdbac80, 0x834c285f, 0x30a89f4f, 0x2936f15e, 0x48600a24,
+    0xa5df5eeb, 0x69aa3919, 0x555a04fc, 0x31430e9d, 0x69f8b161, 0x5f6cb27f, 0x7964e00e, 0x43a76c24,
+    0x43ddd77b, 0xb48dd46e, 0x861805d4, 0x7dd8456a, 0x5670167c, 0x69350e77, 0x20de329a, 0x8b6677ef,
+    0x8f3a4fab, 0xf74167ee, 0xd922fbb5, 0xd9b4d85b, 0xbdb8a47a, 0xb9f0d15d, 0x290b2861, 0x508df596,
+    0xcd1a2169, 0xd084a740, 0x6035155d, 0xd0d590f3, 0x86d61c17, 0x98269e45, 0x04bf52cd, 0xe6c10482,
+    0x43479c4f, 0xdb1c86b8, 0xe24d1b5d, 0x925b6aa6, 0x0bf5242e, 0x6fe1ca60, 0xd926912d, 0x363f7656,
+    0x7a52289e, 0x4b5ae9cf, 0x8c324f66, 0xe6d07441, 0x098b3c83, 0xd7a3e306, 0x124dfdb9, 0x078e7db0,
+    0x6d170d2c, 0x92ee5900, 0x8970fd48, 0x53d96510, 0xc3409d28, 0xb1970066, 0xbbf4c366, 0xc7f80b6b,
+    0xf73d521a, 0xaee72c7e, 0x16f5ca27, 0xcf95fb2e, 0x6e2979bc, 0x8267d329, 0x2153d74e, 0xf7134d57,
+    0x7b49955b, 0x801c6768, 0xdd888fe4, 0xe0f7a678, 0xa952289b, 0xb45990f2, 0x9d9f8774, 0xf07d2b4b,
+    0x72ac94d2, 0xc6425ade, 0x607e28b2, 0x7b076925, 0xc7eb5b4b, 0x7f25cbc2, 0x83615788, 0x66d0af13,
+    0x011fb2ca, 0x0064c2bb, 0xd43e6479, 0x9f938693, 0xce0666b8, 0xc27ac503, 0xe429035e, 0xa12705d4,
+    0xdfc7e8f9, 0x01cf1488, 0x9e75c9b6, 0x7767196e, 0x13c89bed, 0x5db34fd0, 0xbab8879c, 0xc820636c,
+    0x9d40f92f, 0x0e5a5e2e, 0x8181986d, 0xc8dedcbf, 0xebb8e619, 0x764c02f4, 0xd7df89ac, 0x42f2d0ac,
+    0xa0336b81, 0x80fdc4fb, 0x15bf9d18, 0x9a52dcc1, 0x758b1532, 0x2ed8f69b, 0xa0fa13dd, 0xcc2602c6,
+    0xd5a0751a, 0x16665b61, 0xd94c4047, 0xd737d82f, 0x073f633d, 0x29501bcb, 0x3852e030, 0xa0a3edcf,
+    0x3ebd3d4a, 0xc420d28b, 0xed768667, 0x2bc28efa, 0x10a3c55b, 0xf3535382, 0x4027c86c, 0x9dcdd77c,
+    0x87dd9ec6, 0x2cff5af3, 0x239c04fc, 0x7f983908, 0x4e6db993, 0x11984c12, 0x0b74d59b, 0x9667e6ad,
+    0x8f368779, 0x3048b725, 0x76ee183b, 0x397a491c, 0xe9e1b18e, 0xf7e89f2c, 0x5fdd4a70, 0x6f598997,
+    0x4795963f, 0x4359154d, 0xee464a07, 0x33b0689f, 0x6c5bb4ea, 0x167180f5, 0x6732314c, 0x746413bf,
+    0xdb89b507, 0x5272915a, 0xad42fcd5, 0x07b88ca7, 0x06c930a3, 0xfc9051cf, 0x229f97e9, 0x4209bf67,
+    0x504677d5, 0x70218cf9, 0xc74390fb, 0x2ba1e3d0, 0x266f5471, 0x58e90b72, 0xcdffd073, 0x9363b1a6,
+    0xdea3f972, 0x24f78d91, 0x91ac7a8f, 0x97e0ad5a, 0x3f6bb691, 0xdf7da296, 0xc38e29f9, 0xa0223301,
+    0xa94810e7, 0x8e8f201d, 0x6a2bf5b6, 0x88bac6ca, 0x1a5f6c8f, 0x3eda2d3b, 0xec0543e5, 0x918c0239,
+    0x32391fb1, 0x16ac4f19, 0xf97f1439, 0xe1c9b04e, 0x47d0e3a8, 0x3b528158, 0x3b1020dd, 0x1cabd2e5,
+    0x23cdb5ae, 0xd474e00f, 0xe4cc35a7, 0xcd808864, 0xaf54ffa9, 0x6add84d1, 0x8e545b23, 0x56636d7d,
+    0xeb360b12, 0x03f507fb, 0x688bb1f2, 0x46aa4348, 0x8dd64898, 0x9d200238, 0x021569c0, 0x9e553dd7,
+    0xb0abbde0, 0x21a06f5d, 0xb1775d5b, 0xf1e5fc95, 0x4e078254, 0xc224fa20, 0x16e33d1f, 0xf8eb5127,
+    0xb7ee2bc5, 0xecc71efc, 0x1d48b8d7, 0x8d69b246, 0x40e8096c, 0x25890f82, 0x3e1e7e01, 0x21cc4814,
+    0x0a18ed8c, 0xa711382b, 0x8c0c7196, 0xeea27e5e, 0x20c7bea6, 0xb41293b3, 0x168edd04, 0x1053b88c,
+    0xc2240c58, 0xdeebfc6a, 0xde18655f, 0x0acbbe5b, 0xb7dfa232, 0xb6482279, 0xfca7a62f, 0x578e311a,
+    0xe66231c2, 0x2a320434, 0x9e33af7d, 0xa548cab6, 0x90678d9b, 0x07aac8b0, 0x1dc09e37, 0x42670056,
+    0xee03eec4, 0xce8cce81, 0x396a5923, 0x43ce7c20, 0x8b7834cc, 0xe70fe523, 0xbe3b1b0f, 0x0aeaab44,
+    0x47c4cc92, 0xf6622b16, 0xf4e52f44, 0x9efb58fa, 0x078cb498, 0x6005783d, 0x126b10da, 0x6fed2d45,
+    0xfd1c42b5, 0x86c0940d, 0x33daa8c2, 0x9242734f, 0x61bd95a2, 0xf3ab6d50, 0x2600f7de, 0x7101ddc2,
+    0x00cbf48a, 0x707fc381, 0x672d8a1f, 0xa48dcb85, 0xe1e9f1b6, 0x1f2d7b69, 0xa9d7b742, 0xd6913fc9,
+    0x70489ee9, 0x4568227a, 0x68bb8b87, 0x766fbf72, 0x13d6b7e3, 0x2db583d0, 0x7e61da21, 0xad86adbb,
+    0x00000000,
+    0x7810b114, 0x3d317ccd, 0xa9bfbe8c, 0x2958b724, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a,
+    0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000040740719526689\
+                          72172536891376818756322102936787331872501272280898708762599526673412366794752 */
+  { 0x00000000,
+    0x2b4f80c4, 0x7f246319, 0x70820deb, 0x265a3954, 0x0e5909db, 0xe16d7a0c, 0xee0b9339, 0x7b13762a,
+    0x2079baee, 0xccbf7032, 0x62b1b088, 0xa46ee475, 0x3aa16500, 0xf6707b4b, 0xf693faf1, 0x22c4bb56,
+    0x6286a892, 0x882f5bb0, 0xb166f322, 0x6fd35d3e, 0xea55b3cb, 0x65db0875, 0xae416c15, 0xb6f7a2d9,
+    0xa991f0ec, 0xc5c5e41f, 0x7a751d59, 0x3ee7c979, 0x4744a448, 0xfebbdaea, 0xe747724d, 0x87535115,
+    0x61787282, 0x62e51885, 0x767802a3, 0x77c4b0a7, 0x758778f0, 0x83d41a2b, 0x3fc9e125, 0xa5ccedca,
+    0xdd3113db, 0x71274e9d, 0x2435cfb6, 0x08c50c9b, 0x9bbaf337, 0x116ee4b1, 0xc2e33314, 0x9a2da2dc,
+    0xb41e27b1, 0x5d3d4d2b, 0x55b080d3, 0xaa1adebb, 0xc368b65d, 0x70716f8e, 0x14a20b35, 0x690a1942,
+    0xc640954c, 0xbb68ae76, 0xb07b776b, 0x29c53cb7, 0xb0e44ce7, 0xbe36a543, 0xc1b939d3, 0x1c99b72c,
+    0x68a6c012, 0x1eb9cd0d, 0x24c8811d, 0xc8c69406, 0xf1f54304, 0x47bfb1e1, 0xe5df8813, 0xe482ca3c,
+    0x1156dd86, 0x54b87944, 0x997f959a, 0xa611c75f, 0x3bf511a2, 0x3fce838e, 0x25a937fe, 0xbbc09041,
+    0x860aa4de, 0x5b46935a, 0x4efd7469, 0xbe14f257, 0x5d1188c9, 0x8277330a, 0x69acd3a6, 0xc222e751,
+    0x03ee31c2, 0x8bf2c126, 0x3345973d, 0xd7033899, 0x17115171, 0x1c707196, 0x83df465f, 0x48c9b719,
+    0xb25d5dc1, 0x7a268cef, 0x4be31a86, 0xb7db8bb8, 0xd4493dc1, 0x3311f62c, 0x4a595bdd, 0x8591354e,
+    0x22ad2642, 0x706cb33f, 0xf9ab47eb, 0xc82d31f3, 0xe4682278, 0x604331c1, 0x834ff82a, 0xbfd70bb0,
+    0x25e44d35, 0xf6ff719b, 0xcbb37e3e, 0xc5652423, 0xe63975b2, 0x3e3ead2e, 0xbf99ed23, 0xdfc46230,
+    0xd52fad3b, 0x852b5ee1, 0x7521879b, 0x739fc1dc, 0xed243942, 0x6741dc46, 0xa3725774, 0x20297df1,
+    0x823dac4c, 0xd12cbbc5, 0xd857196d, 0xfbdda0d7, 0x3965c3d2, 0x977cd457, 0xaf7ca25f, 0x44a47a5e,
+    0xd551b54e, 0xb214e325, 0x6aa4970e, 0x70cd5d17, 0x2dda34c4, 0xaed104a5, 0x05aa0adf, 0x06f35230,
+    0x78aa091e, 0xa9c23888, 0x8fdd5abe, 0x3478c8ed, 0xd743e396, 0x8c6019ec, 0xc7bee5ee, 0xcd7fc3e1,
+    0x8e3b6c00, 0x2438a450, 0x1fc91471, 0xf1096a2d, 0x4651e594, 0x1cef9b77, 0x4211026d, 0xb398a389,
+    0xa7d8afb7, 0xe0a4474b, 0x8b0302c7, 0x9e710796, 0x63afcf33, 0x4f5e741c, 0x9ae5e815, 0x0e96c908,
+    0x6686b013, 0xd2530d96, 0x3bb1d973, 0xefb1bce1, 0xf757e741, 0xcb6356bf, 0xf5bc58a2, 0x2a457a99,
+    0x14962115, 0x24be5d4f, 0xca95f7c8, 0x6b0fc96a, 0x89b85edc, 0x9b32b3a6, 0xe88a2a6b, 0x452bf7ae,
+    0x48f5e810, 0x635c7398, 0x9bd43a99, 0xe3f0a936, 0xa12d4137, 0x28560442, 0x73f732d8, 0x24cfec7a,
+    0xf79db762, 0xc64b7052, 0x6ac7716b, 0x31ef8066, 0xf45e7620, 0x95061080, 0xd1fe37fa, 0x79623165,
+    0x10bd2e1a, 0x71d0cb7c, 0xe58d8903, 0xb7754e57, 0xd6bacb55, 0x5397f069, 0x4da28558, 0xa8af2d0e,
+    0xe45f97ba, 0x1fc88379, 0xa1e5cc3e, 0xcdf6545f, 0x2a81d06d, 0x0c061a20, 0x4bcbda59, 0x40cd5854,
+    0x07aaca46, 0xfb332e0e, 0xc0dc8f3f, 0x4c40efbb, 0xcb17868b, 0x50f9ace4, 0x53dddfbe, 0x45a060da,
+    0x0aa5a953, 0xd9330c15, 0xaf26bc60, 0x13e68753, 0x53d37a56, 0xda5e9674, 0xf30c09a0, 0x9279e0a0,
+    0xd5b38ed4, 0xb2dd9704, 0x99bf3f69, 0x4f83e0c2, 0xfa0698d3, 0xed5bfe73, 0xd328af55, 0x0f9a0ec5,
+    0x11e1e0b1, 0xc713cda6, 0xaa9146cc, 0xfc7be40c, 0xfa422cf5, 0x393291cc, 0xe337337d, 0x125e48fa,
+    0xf6752767, 0x6237a15d, 0x65c33daa, 0xda46fec3, 0xb73c4ace, 0x77e6c40c, 0xc75cdd5d, 0x729eb82f,
+    0x3ef19174, 0xe49106c1, 0xa7755733, 0x371ff8e2, 0xeb99ed5b, 0xad311445, 0x106dbe01, 0xabc4f5e7,
+    0xabdbdfc5, 0x882ca9af, 0xb705be4d, 0x80bc07cb, 0x617c1150, 0xe32600ad, 0x7e18a769, 0x704e056b,
+    0x7630e814, 0xb12d03ee, 0x3142a9f2, 0x3b43bed8, 0x66c1639c, 0x9ed6f508, 0x275aca08, 0x758c9663,
+    0x7e8e39e2, 0x86bad827, 0x4396a3c6, 0xdd2aa994, 0xa5d3d065, 0xfcb6d00d, 0xbb59db7a, 0x75ed3429,
+    0x1c6fc2e9, 0xd1c4b89d, 0xf6870236, 0xee3fa0f2, 0x0aca4311, 0x8f52ec11, 0x918bf3b0, 0xb791e55f,
+    0xea92c078, 0x6f03546a, 0x739cddeb, 0xd13e0508, 0xe6f2b3c1, 0xa92c837a, 0xf4bc009c, 0xea8ddff1,
+    0x2873c7d5, 0x5cde7dfa, 0x190572ab, 0xe47160d9, 0x59788110, 0x7ebe0bee, 0x5b26e7af, 0x7b53c774,
+    0xbea6435c, 0x97fac01a, 0x09330bdc, 0xf042458e, 0xfb1da495, 0xb8eb96a2, 0x7a9a322d, 0x04d73544,
+    0x7318849d, 0xd031af24, 0x00c88dd1, 0x3eb739e5, 0xa99ee31f, 0x37d7eb82, 0x3a336091, 0x965d7d7e,
+    0x1d4e2bf7, 0xe2d7f5cc, 0x65a1333f, 0xd773ba17, 0x28157c2f, 0xea0b6919, 0xb8e17457, 0xe8b190b4,
+    0x13c2d8d4, 0xb7141ef6, 0xd8d02edc, 0x1879c415, 0xc8e1f2a8, 0xdd534f4e, 0xfc8a417f, 0xf1bf8767,
+    0x512cdb8a, 0x853aa02d, 0xe1b446b7, 0x924b1777, 0xae1d9e44, 0xc05c2bb5, 0xe81e6b6a, 0xe30a69de,
+    0x7a8d62b2, 0x1fc80344, 0x827813be, 0x8ae22fe2, 0x69fc53c4, 0x805b8cdb, 0x570e08f2, 0x71f3f7d6,
+    0xecea0973, 0x375b0655, 0xa6709e93, 0x4bf291df, 0x892d1262, 0xcf6c7134, 0xa4c444c6, 0xfe7b2dd1,
+    0xbcb0cae0, 0xebea7a12, 0xdae609a0, 0xbba8aeab, 0xf9a5f161, 0x38f2f59e, 0xcf4e5227, 0x0e23581f,
+    0xa7c037c6, 0x6404adc6, 0x1579acc0, 0xd86f9976, 0x39edd9f5, 0x2dbbc89a, 0x27967def, 0xb2181f12,
+    0x951633b8, 0x4023611e, 0xf4c2d7d7, 0x5522625c, 0xb08b5809, 0x2723b000, 0x586d250c, 0x29360c8d,
+    0x40553fe4, 0x1010a00a, 0x94eefa32, 0x4fc972bf, 0x258f9731, 0x8ed83165, 0xede3553a, 0xf9be681e,
+    0xbe509d8f, 0x86f42d58, 0xffd5c3c7, 0x2fc56600, 0x15e31bcd, 0x08a32d4b, 0xf6f64af2, 0xde81e21f,
+    0x2982f7c5, 0xad763326, 0x4dea7139, 0x828b2432, 0xb9a2a7ca, 0x87121247, 0x108c3b1e, 0xb7dc2405,
+    0xe1de84a7, 0xf032067a, 0x9adce45f, 0x38aa0ad2, 0x4b6d8250, 0xebe359f2, 0xd0ccb41f, 0x7ddb913f,
+    0x9d519f48, 0x9abb4b89, 0x3094efe9, 0x3bf59b13, 0x61310782, 0x5081ba6a, 0xebec9354, 0xa2660291,
+    0x37c76024, 0x595cd807, 0x562a9d96, 0x3f03fcb4, 0x6c7420ab, 0x8032d92b, 0x78e83a2a, 0x422f05bb,
+    0xab78a0bc, 0x06acecc8, 0x5822201c, 0x46faa8ba, 0xf86a4552, 0x15e760e5, 0xa22d3354, 0x7166a4cd,
+    0xf130c215, 0x6ee1d4b0, 0xe10e77c2, 0x75d4c49c, 0x2c29b63b, 0x49a45300, 0x7db63bb2, 0xf88c7d91,
+    0xd3c79608, 0x5e3290af, 0x542836a8, 0x811eed3a, 0x06d01e00, 0xc408df77, 0x20b353c3, 0xa68f7311,
+    0x2c66ef09, 0x647ada90, 0x62919e9c, 0x22a84ed4, 0xf6d6ff93, 0xd3eee68d, 0x7b131278, 0xc303484f,
+    0x90e8c899, 0xc89a6418, 0xff9ced44, 0x87cbf8d5, 0x499e7dee, 0xb0185e17, 0xe030ffee, 0x474abc49,
+    0x1f08bd78, 0xc3b27b88, 0xe1f272c6, 0x68eb976c, 0xf1b77fc6, 0xc2406cf9, 0xa5603c4d, 0xfda69336,
+    0xddeb65db, 0x7a67af5c, 0x95a75f72, 0x4041dd5f, 0x9d261eeb, 0xd56ff60a, 0xcf87d4c5, 0xd521fcc2,
+    0x91164a52, 0xb862da37, 0x3eac5e70, 0x79b00c50, 0x4a46e052, 0x34d2b521, 0x72f0185e, 0x33347e99,
+    0x727385b9, 0x5ac88074, 0x376f92a6, 0x574db97e, 0xa5344f6d, 0x6d1b3a18, 0x5bc047d9, 0x96c8acbb,
+    0x63511137, 0x68bc23e9, 0xa35647e9, 0x2dadea1b, 0x783bf97f, 0xe6994cca, 0x88978c12, 0xb2d4d33e,
+    0x6ab3ff49, 0xd8bcaf47, 0x59a69ea6, 0xb7a40c92, 0xafd305d0, 0x2545d24d, 0x0470ef0d, 0x646bef85,
+    0xeaad8179, 0x7ca6e5d6, 0x3c8b5b64, 0xa74a3c2f, 0x4bd98820, 0xb50213d4, 0x96638b5b, 0x7dae91e8,
+    0x66680a09, 0x04c599d4, 0xd5f91d4d, 0xbc472b38, 0x96a37f5b, 0x12bc4abb, 0x9769b4f4, 0x6c20ff03,
+    0xa938d67d, 0x47d12a75, 0x5d0acf04, 0x664c5d83, 0x0dc87b42, 0x205a6d5a, 0x491c7300, 0x75997732,
+    0x4ec0d123, 0x8e7b4108, 0xa86a5d7b, 0x011b724d, 0x8e845d43, 0x6907165b, 0x28d2ffb7, 0xe5242254,
+    0x5729fcea, 0x3f6bbe62, 0xac4c6d36, 0x9cb242d7, 0x933a4a35, 0x42f71c6c, 0xe60a4e8d, 0x5304e3b9,
+    0x0180aaf1, 0xa9591ce9, 0xb6427ed1, 0x49e09e3b, 0x25fa861c, 0xd615a846, 0x2135be43, 0x2cb45239,
+    0x0787364b, 0xae27685d, 0x71d71011, 0xde064df8, 0xb52793b6, 0x9e983be0, 0x420a1dc4, 0x4af6bdb9,
+    0x8cfe3f46, 0xab14ac67, 0xf9d70efb, 0x8f8bf5e5, 0x4cc595da, 0x4c59fb0d, 0x51298f6f, 0x7d85a23c,
+    0x8f335b7f, 0x8ca1fb93, 0x958b9494, 0xbceb67d1, 0x40af2264, 0x907671fa, 0xf40f9f5d, 0x52d88ee7,
+    0xc9e2a5e0, 0x7c407e09, 0xca71c558, 0x645eec6f, 0xd8f09d8c, 0x8fcc5c44, 0xc996c3ed, 0xa6d985d6,
+    0xaa87fc27, 0x314ed39d, 0x08a1a5c8, 0x1e7a74bd, 0x8b5d1997, 0x4bfeec40, 0x69e6a1ae, 0xcbc80313,
+    0xe808da52, 0x7a5242fd, 0xa9aa3409, 0xd6af700e, 0x94e801bc, 0x56554fb9, 0x75983ccf, 0x77b22e99,
+    0x5865c2a1, 0x07b426fa, 0x3af64dd1, 0x609a424d, 0xa55a0487, 0x23ddb5be, 0xd33810b2, 0x4fbff0c5,
+    0xfc609627, 0x3bb29cda, 0x895c9cb7, 0x969ea0dc, 0x37ccd8c8, 0x0fdc7927, 0xb50ad0e7, 0xc43bc4e0,
+    0x24be1ec3, 0xf8b05803, 0x025eaac2, 0x14fc62c5, 0xbc98d4bc, 0x41da0efb, 0x5fd2a23d, 0x19c940de,
+    0xc523403b, 0x08eb9b1b, 0x36f6ceb6, 0x32210aaf, 0x5027f413, 0x651a49e5, 0xf1ea2790, 0xe46a3b2a,
+    0x8c59d624, 0x897d3bef, 0x2f98ce67, 0x7d1ca0a9, 0x55e34502, 0x161e8d27, 0x3dde741d, 0xfc198b60,
+    0x3b156241, 0xda894124, 0xafe6fa44, 0xd09789b4, 0x078320d0, 0x58fd2d56, 0xc29ea29b, 0xe90ab1e4,
+    0xdacf7f4f, 0x49d57ffc, 0xc44335bb, 0xccb1ea90, 0xfa1f28de, 0x2fd1a4d3, 0xd92428ea, 0x691d09e4,
+    0x89290a8c, 0xd0e9713f, 0xfbbd77b5, 0x5cb44872, 0xb4bc57e3, 0x5fcd6475, 0xdb524997, 0xdecd32de,
+    0xc868da9e, 0x1a82aa41, 0xa031ae84, 0x00718de4, 0x19b53ef3, 0xbedbb6f3, 0xa9c6e90b, 0x6b955e37,
+    0xca10fe8b, 0xd27f8073, 0x47f9ad5a, 0x647462eb, 0x76d94773, 0x8cff808d, 0x1bc8fac4, 0x04e9ccbc,
+    0x199ed12f, 0x69ffa223, 0xebb875a5, 0xf007022a, 0x828f5f6b, 0x6fb7b749, 0x18b248d5, 0x1dce7d01,
+    0x020f84af, 0xeb3b3108, 0x465644f9, 0xafb1d587, 0x86d7edee, 0xcf06d7d4, 0x3a89a96c, 0xaee095bf,
+    0x445c21a1, 0x20365606, 0x80f46cdb, 0xafcbe19a, 0x152ce8b9, 0xdb834009, 0xeea582eb, 0xad98ee2d,
+    0xeeab107e, 0xf7c4eb34, 0xe1e009d8, 0xc0f162fd, 0x632d517d, 0xf4539657, 0x51b46a0e, 0x0ee7a2f3,
+    0x53e11b55, 0xf3c2b804, 0x609d1d9a, 0xd2288f29, 0x7ddaa927, 0x8f9b95ce, 0x1df70e06, 0xb8ca77c0,
+    0x996b9dda, 0x39a5c923, 0x40ae17dc, 0xd0539acd, 0x7ee22b2c, 0x82722185, 0xc622bf67, 0x036350c6,
+    0x65bb595a, 0x1912ab68, 0x40d8c414, 0x5824f8fb, 0x09800464, 0xb16e484a, 0x2f8c6517, 0x266d6025,
+    0xec52d46d, 0x01fc5ac6, 0xddfeac17, 0xc03f6407, 0x7e84d628, 0xf990f73f, 0xfcf4ae59, 0xf8c3eb10,
+    0x3130e44b, 0xcc3b7a78, 0x9a6b4675, 0x894064e3, 0x31a70803, 0x0a0a956b, 0xd0e658f6, 0xb566d1f9,
+    0x8b985434, 0x9eee94bd, 0x7e795703, 0xfbf2e775, 0x6c4d2a5b, 0x4ef1ed18, 0x50b88687, 0xc9623ef4,
+    0xca86212b, 0xe3f4372d, 0xa816959f, 0xaf3f67c8, 0x9e6e2117, 0xfcbd6861, 0xb3ae4505, 0x4c2aaf47,
+    0xabdb12c7, 0xb00f1903, 0xa84fe1a8, 0xd9a05e68, 0x9a460062, 0x8f7e1e09, 0x3b48a75d, 0xa2eb19a4,
+    0x50846f59, 0x86e6fe9b, 0x4aff2c00, 0xc606a8f4, 0x6d84c9ce, 0x356a241a, 0xc780eb80, 0x1dd57afa,
+    0xda2415fd, 0x70746862, 0x565a3da0, 0xdf9ca85a, 0x51e59488, 0xd3168fbe, 0x3e7f4abb, 0x9ebdf1c7,
+    0x15fe0638, 0x89f450fd, 0x764351a0, 0xbad9d80d, 0x754558f4, 0x2504fe15, 0x73bf848e, 0xb074fb78,
+    0xa05dd7c4, 0x9bf43fa4, 0xfe00d755, 0xc047aa0e, 0x4fdeea1d, 0x6157d55d, 0x453cecaa, 0xdedcf053,
+    0x8920af6b, 0xce2e3ac5, 0x8f41db7c, 0x47ca33b3, 0xc062c65d, 0xf0d4850f, 0xb8ebefc1, 0x39906529,
+    0x4a9bf8c5, 0xc638f4b2, 0x3322e9bc, 0x027ed75c, 0x2579a67f, 0xecb17b4c, 0xd244a097, 0xe2a3fca4,
+    0x21a773bb, 0x66d35f02, 0xf2dd7e02, 0xbd1b09c2, 0xa6231091, 0x5249f176, 0xa45db3e6, 0x9ab60c3e,
+    0x896ff73e, 0x8a6a6008, 0x52bbb2a2, 0xb18045bb, 0x7e0c81b5, 0xdb3c7748, 0xe5978ae7, 0xcd7f86d7,
+    0xd60b688c, 0x65d4afc4, 0xc5fd4ffc, 0xecce09f3, 0x3cffbcf3, 0xe0f67eb5, 0x02d1bc47, 0xf7683589,
+    0x3b431348, 0xfa907cd1, 0x40e3d819, 0xad7d6f89, 0xaf318d63, 0x67691406, 0x4b42643e, 0x5a302900,
+    0x71e85639, 0x0c40417d, 0x239e2e74, 0x731650cb, 0x9b9a2a6e, 0xe360cd32, 0x4dde62f6, 0xcfbc30ad,
+    0xbfcecc8d, 0x8452a330, 0x02afc174, 0x20e27aa3, 0x7e1ee273, 0x2d54f215, 0x8caa0c18, 0xd9771d9b,
+    0xaf87e6ac, 0x4c460e9c, 0x687b085a, 0x740e1d01, 0x147cf42d, 0x4df159a1, 0x7a1bcbbc, 0x3f1fb025,
+    0x554d92c4, 0x70cc2ed0, 0x21fe2ceb, 0xf23e00fd, 0x450f082f, 0xbc963d15, 0x62581cb7, 0x736fadff,
+    0xfdbe0ba5, 0xb16d288f, 0xb6e05ab9, 0x3455e6a4, 0x347db233, 0x70e6e488, 0xfd0dca7d, 0x607bd2ec,
+    0xee337ee3, 0xc2fe6d44, 0x95fd383b, 0x3a325b11, 0x25ce76ad, 0x38c81474, 0x9766a31a, 0xfab5b523,
+    0xadf2f8be, 0xa336c0fc, 0x27ea639f, 0x5a585518, 0xa4ded0a1, 0x33771234, 0x1eccb383, 0xc21066bd,
+    0x679436cd, 0x62ccec62, 0x8fa2051b, 0x7d64d4b2, 0x0e612fed, 0xfb8527f8, 0xa4ab9e3b, 0x4d2eba46,
+    0x0772ca57, 0xd2432724, 0xcb320927, 0x105253a7, 0xbd2bb183, 0x6df577b6, 0x11e4854c, 0x45360973,
+    0x530c0dfa, 0x9c9d6002, 0xca803e8b, 0x23603289, 0x5aad4119, 0x9718b88f, 0xf0b33e43, 0xd0451b0d,
+    0x2959b4c4, 0x9147353c, 0x0f80dd0f, 0xb5970d4e, 0xc1a093f0, 0xe6e060bf, 0x953708c6, 0xa570cfe7,
+    0x615b6b10, 0xc9f75563, 0x66d44883, 0xb47efe3e, 0x3146944a, 0x338452d2, 0x6b29ac8c, 0x0676bd30,
+    0x669e200b, 0x4cadee40, 0xe55be7bf, 0xfc74b43d, 0x10d40391, 0x02157ee1, 0x56ec401a, 0x6bf3f516,
+    0xb544f311, 0x2b369ea8, 0x349fe652, 0x7b3bfedf, 0xeb81a072, 0x27e77c9d, 0xe46f64cf, 0x4abf4e68,
+    0xebd4d8a1, 0x53c44573, 0xa74acc8f, 0xe56a9b32, 0x9247f711, 0x0e2090b2, 0xa87e6fd7, 0x44615f8b,
+    0x0fb6eda6, 0x066ffc36, 0x2077a1c7, 0x822a0293, 0x9bd9a6b6, 0x5a6383a1, 0xb56d54a5, 0xd2c45264,
+    0x00000000,
+    0xbc085889, 0x1e98be66, 0x54dfdf46, 0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5,
+    0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000020370359763344\
+                          86086268445688409378161051468393665936250636140449354381299763336706183397376 */
+  { 0x00000000,
+    0xfe61d373, 0xb3ac4ca9, 0x6611ffb4, 0x9d95f6ad, 0xd3d372d9, 0x1a791ea6, 0xf28487da, 0x830d233a,
+    0x0d8f494e, 0xb668c4b8, 0xe7688751, 0xd9cde20f, 0x92c61363, 0x044c1bc5, 0x2fcf5f37, 0x833bff15,
+    0x96a02d88, 0xb72ef84c, 0x85bf8dd9, 0x9bf8261d, 0xe47ff466, 0x8a3273b3, 0x2c47dbc1, 0x6d30b745,
+    0x6c64fcf4, 0x23a1ec58, 0x3108aecc, 0xc69d0256, 0xd0b51cdc, 0x31864a85, 0x9d7e453a, 0x59395594,
+    0x0d8995cf, 0x9f93f020, 0x44095dfa, 0x2563516d, 0xae962b67, 0xf65f0a67, 0xf0b0d655, 0x25494b92,
+    0x17e35951, 0x8dfda0ae, 0x0f82d10d, 0x0915966b, 0xfe9d80f5, 0xc8fcc03d, 0x0f6aa30e, 0x104375c9,
+    0x8054810c, 0xdaa647c2, 0x0576a875, 0x496728a4, 0x4a09cfc1, 0xc43f01c3, 0x5fc945b2, 0x41f75f94,
+    0x2d313c97, 0x3c4f963e, 0x38bc9b69, 0xbae6ee63, 0xcc76e55a, 0x73592dc6, 0xc9ef0cc1, 0xb0aa50aa,
+    0xf011e443, 0x90ea6cbe, 0x5b482744, 0xaae09e68, 0xd7f04394, 0x111ed6d9, 0x029d1095, 0x9d711ec0,
+    0x76e4eb9d, 0xbcf2929e, 0x29dad643, 0xaa2d498c, 0x33055421, 0x7d65ca30, 0xd9c5ab76, 0x0bb1e575,
+    0x423c71af, 0xd7a8048b, 0xba14c605, 0xd8fcbc7c, 0x51b3ac1c, 0x6f6359b6, 0xac6498e5, 0x396fd8ef,
+    0xd250c0ca, 0x122cfb5d, 0x9f796ebe, 0x83c2a709, 0x8d176d25, 0x0782957c, 0xab5d02d1, 0xfa54913d,
+    0x90d8c87b, 0x630b1cdc, 0xf329d5df, 0xe15f4943, 0x44f5031c, 0x750586f4, 0x86c59f40, 0xdfddd5fc,
+    0x9ca6c971, 0x06159014, 0x2f68f317, 0x3aa68a44, 0x06a5ae20, 0xd0d3b268, 0xd6b168da, 0xe4bbc126,
+    0xdb3ef313, 0x1ea68f02, 0xfb158a70, 0x02206ab2, 0xe5f93048, 0x7fd93701, 0xffc63b0b, 0xba7b39d3,
+    0xd21b4156, 0x89ea66b1, 0x6c6c2841, 0x027bbd70, 0xa39300d1, 0xea40d249, 0x26e69579, 0x12876198,
+    0xcad06d35, 0x13953580, 0xeac15014, 0xa631edd0, 0x455f2381, 0x38a0f5b3, 0xe2c74c23, 0x784f320d,
+    0x1b98bf9f, 0xb7a49ec0, 0x90a4f3b5, 0xacb0ec9d, 0x18eed9a2, 0xaa371497, 0xe8778c51, 0x40837c6d,
+    0x3e81ecc7, 0x124f9a5a, 0x2ab17772, 0xd5cdecf5, 0xce09aa27, 0xe96c9913, 0x3029dfa6, 0xcdae17dc,
+    0x6621ff71, 0x84b420ac, 0xab5e8916, 0xbc23caed, 0x42d0de52, 0xb1c097df, 0xebbca77a, 0xe7b3f20a,
+    0x332fffd1, 0x5449c5f9, 0x947e4928, 0x44620487, 0x1ce11aa8, 0xe4ded9e4, 0x17634f53, 0x68479baa,
+    0x923fe9c5, 0x0dfdcb49, 0xf8fd343d, 0xea1f5540, 0xfd035eb1, 0xb5b1fe2f, 0x0046b1d9, 0x5dbf3ec9,
+    0xf340c6a6, 0xe34bd671, 0x244c5540, 0xe483a6eb, 0x52148bb5, 0x562cc903, 0xf9fa0e89, 0x4dcd5daa,
+    0x333e2da4, 0x0b6bc732, 0xeb250f97, 0xd65de424, 0xc4192024, 0xc4c49559, 0xce4e059b, 0x80ccfc53,
+    0x8c864423, 0x893d2f7c, 0x14aa52b1, 0x6836d1c8, 0x65b3d7f3, 0x6068c373, 0xee9e3811, 0x1c05af59,
+    0x514e1a51, 0xe82c4619, 0xcd0eeec8, 0x4353d601, 0x615d11e2, 0xbfe66a33, 0x22ec84ef, 0x2dd3296b,
+    0x5e2113a6, 0x2954203d, 0x3bb13ddf, 0x565c44fb, 0x70698d56, 0xcb46873c, 0x0009feb5, 0x987a5854,
+    0xe1e41c67, 0x9e7d19df, 0xc2dd071d, 0xa28582a0, 0xce5b8d54, 0x47e29380, 0x9b049e8f, 0x0c326839,
+    0xe5ee3f14, 0x4f751119, 0xb5af6075, 0xfcf09c33, 0x813aadad, 0x55bdd8fa, 0x1fdbee81, 0x4cdb7b69,
+    0xeb882b88, 0x1ed61d73, 0xdd4a96ed, 0xf35e7511, 0x08b070aa, 0xd4bb5f86, 0xd0dbee9b, 0x058451ed,
+    0xd460baa0, 0x44d87d8c, 0x8d319ab9, 0x7375ec98, 0x07e9fdc0, 0xc1d40c45, 0x0086d023, 0xc46c0086,
+    0xdf22e5f9, 0xd0836b2f, 0x9725362b, 0x535ff693, 0x94146075, 0xe74a45d5, 0x017b2d94, 0x76ee2d5b,
+    0xe3f7a93b, 0x571419fc, 0xef4f18a2, 0xf1f25a94, 0x4c2d6d33, 0x5252de28, 0xbef70d58, 0xc3caa5e3,
+    0x777c7518, 0x02f35157, 0x4c11ab69, 0x95aff071, 0xf7655fc1, 0x1852ca69, 0xe4bd7589, 0xb1308f9c,
+    0x9d513417, 0xb9c953bf, 0x47d175c2, 0xebcae095, 0x98fbab9d, 0x365e67d1, 0x094e5af1, 0xc8c10fdf,
+    0x15a0c39a, 0xb57c5534, 0x8cdac190, 0x23feb208, 0x7098c340, 0x7108e355, 0xaaeafd96, 0xac9e58d6,
+    0x519de007, 0x18e10f21, 0x874807ae, 0x85646f62, 0xabfca398, 0x1b4af1fa, 0x1d2b9734, 0xc264c10c,
+    0x7177eaee, 0xbb61e690, 0xfbf434c7, 0xbb7fb25e, 0x7658bc68, 0x5eb5b951, 0x91619c97, 0x6728f304,
+    0x641cf395, 0xe65e74c9, 0x83111101, 0xd800e969, 0xf9401907, 0x7f412450, 0x3da9e1db, 0x3667352a,
+    0x0012184e, 0x543521c6, 0x98060c61, 0x6e67203b, 0xa9653afd, 0x6e3c9e02, 0x34be72fe, 0xa804e5f2,
+    0xf315aa8f, 0x2643b898, 0xa92486d7, 0x68507683, 0xb1928cbe, 0x44f3ac62, 0x06187762, 0xbc2b4b12,
+    0x5f39e0f8, 0x1cbec8fc, 0xf8313237, 0x7f4ad869, 0xbaf033cd, 0xecbdc152, 0x45a3d04c, 0xd691cfce,
+    0x9bc4e715, 0xe4b84333, 0x1b75f3d1, 0xef10c61e, 0x019216eb, 0x67b42c7c, 0x54ba5132, 0x74605f73,
+    0x40318c1a, 0x8b3ae168, 0x22393850, 0x2783a9c0, 0x7e4b4efa, 0xe24e642e, 0x7d19a4f9, 0x17ce1b10,
+    0x85c8038d, 0x776baf09, 0xe790110c, 0xcbb07c40, 0xd4646595, 0x532c1615, 0x075141b1, 0xcae5b8f5,
+    0xa65c7c63, 0xa55c33f7, 0x990e8f0b, 0xa8e0a9ff, 0x4ea01e80, 0xd714c79a, 0xd838613d, 0xc12c7071,
+    0x502b2d57, 0x4faa6888, 0x8e40c1ae, 0x45047513, 0xfa21cff4, 0xc21a1ae5, 0x2c2dbfa8, 0x86c53a6f,
+    0x0329fa01, 0x637e89b5, 0x01cd1273, 0xfb008ac7, 0x6d4514b4, 0x0df5bba5, 0xa0bf8b08, 0x9e76545e,
+    0x310f1613, 0x923c038c, 0x1c406a54, 0xe4bf3464, 0xa3f61fec, 0x16d14497, 0xbc206e84, 0xa683b25e,
+    0x9791c058, 0xe85ac139, 0x39515e87, 0x309c64a6, 0xe94d2591, 0xe1b21c89, 0xf4315633, 0xa0d5b9c9,
+    0x6a6172fd, 0xfb4e4808, 0xad6db1bf, 0x76e1f652, 0x68fb3c49, 0x768a636b, 0x286f4431, 0x8d8cbb0a,
+    0xd3c2fcae, 0x6a6790eb, 0x395c707f, 0xc3c90a48, 0x7f787ea6, 0x18bbeab5, 0x028db49b, 0x55cd4080,
+    0x9c65d507, 0x9555e873, 0x79d2bf4b, 0xe6d342d7, 0xac250f14, 0x4ddd0d1c, 0x7c1d6858, 0x537b6d99,
+    0xd2a51cdc, 0x95272c11, 0x32637d04, 0xaeb350ce, 0x842ca21c, 0x81345cb2, 0xa6f0950c, 0xfc8b6344,
+    0x65882f78, 0x6975c39f, 0x794db16c, 0xe0451a00, 0x91a62f5b, 0xa261e8cb, 0x17697ef3, 0xa42ef4fe,
+    0x65d10da6, 0xa410bd6c, 0xd3bf2207, 0xa8dba118, 0x31fd828f, 0x40003529, 0xe670f8f3, 0xc3ae13d2,
+    0x1ab2570b, 0x11b6af35, 0x905a2b3f, 0xa88178ef, 0x1d3c1efe, 0x8a59a07a, 0x15ded734, 0xe4b3a274,
+    0xba203187, 0xaa69cee6, 0x5507d132, 0x9121bffd, 0xe6b6a43a, 0x6beee8e0, 0x91a224bc, 0x55197810,
+    0x8c958a54, 0xd4d6781e, 0x75aef9bc, 0xdb1a0e00, 0xf4a58629, 0x2281417f, 0x3d49e541, 0xd9badffe,
+    0xa3cb6daa, 0x88007333, 0xd9fa34da, 0xd2ca318e, 0x834098e8, 0xce12eb6b, 0xa45a379a, 0xca2d8674,
+    0xa02858c8, 0x90970beb, 0xa9be0c70, 0x7ae5a780, 0x5d2f31f0, 0xe0c104c1, 0x0e386846, 0x2f2595f2,
+    0x024d1015, 0x5a178a28, 0x1e87def9, 0xa9df69be, 0x2ba220a1, 0x336c10fb, 0x41ce34c1, 0xc15df373,
+    0x7cbc9c95, 0xa4d00ac9, 0xbb6c87d7, 0x4f26292d, 0x2d3d86cb, 0x879d37bf, 0x12df05d2, 0x565e97a0,
+    0xead97950, 0xf2e0a365, 0x877b3cd3, 0x644f6a71, 0xa09b3f30, 0x9db6335e, 0x81aff659, 0x5cd8307e,
+    0x252aa876, 0x63777772, 0x27dbe669, 0x9e5d0ead, 0xa2b6637a, 0x8d7bafa0, 0x5d3a5376, 0xb1550d49,
+    0xbbc80cdb, 0xc6232438, 0x568a1f7d, 0x6fdacede, 0x647a2452, 0x1f86356b, 0x981d7b20, 0x8b5422c0,
+    0x5ad8798e, 0x41359514, 0xa17e7d9e, 0xf79426a2, 0x20241444, 0x92724684, 0x9b9966c0, 0xed95e933,
+    0x68073b98, 0xf671f166, 0xa3aeb9f8, 0x4a43b37e, 0x3c35f4a7, 0xb9c3afce, 0xbf4e9dae, 0x6780bd26,
+    0xc088949b, 0xb44d901d, 0x8735c962, 0x1c228f64, 0x9a898b7b, 0xbfbed000, 0x79b4f07a, 0x1b0ea39f,
+    0x265ab4c3, 0x5e7649f0, 0xff7da8e1, 0xdb193381, 0xc74088ed, 0xf3a5b169, 0x055efc41, 0xac1f4157,
+    0xb6e040ef, 0xe2bd48a9, 0x5411f1c9, 0xcff173e0, 0xa5e3f4fc, 0xe633e63c, 0xb24f1861, 0x0a1baed5,
+    0xbdb51d81, 0xf3fa15d5, 0x97e89a4d, 0x54341062, 0x9ba81c30, 0x41c34f12, 0xc4293064, 0x154b5fb0,
+    0xecdb899b, 0x43d11b1e, 0x1484de2a, 0xe2f3de41, 0x05692785, 0x94d39c9d, 0x855956b9, 0xa338092c,
+    0x8bfd3dd1, 0xa5737c41, 0x6cf06887, 0x72cc228b, 0x4921cd07, 0x6f1ec526, 0x2a3d59e9, 0x4b61e86d,
+    0xe09d953d, 0x4979709f, 0x9444104f, 0x59ac299a, 0x69ea4797, 0x69c9b3d3, 0x29dec35f, 0x9cab2da9,
+    0x2dabaa1e, 0x5f90a62d, 0xd81b4968, 0x076c30c9, 0x17875eb4, 0xb117133b, 0x26918d26, 0x3933f43f,
+    0x3595eaba, 0x70687004, 0xb13024de, 0xcf20c7ec, 0x439f018b, 0xd0051f51, 0x46d2effc, 0x6cb30218,
+    0x303b7cfd, 0x81992978, 0xe767aadb, 0xd93c526f, 0x0235e03a, 0xf5c2e771, 0xf94d1c02, 0xc1f51236,
+    0x74374a85, 0xa3d59fc8, 0x4d60168d, 0x50306df8, 0x9998d886, 0xdcb89fa6, 0xbc3f8fea, 0x6cbff0fb,
+    0xe13378a0, 0x99f9a91a, 0x2bb38542, 0x5bd68d52, 0x7c872ab9, 0x15cf98bf, 0xc520bd80, 0xe2fd3444,
+    0xdfed06e5, 0x42b419e2, 0xdfc5b497, 0x8275cb03, 0x07cffc04, 0xb2da399e, 0xbc6836fa, 0x89a9ccd1,
+    0xa00c8812, 0x6ebefb1d, 0x4a572b77, 0xcb9fd828, 0x05547a86, 0x13b50630, 0x222a6c3f, 0xff1ae378,
+    0xca238695, 0x382585ab, 0x0e6cfadc, 0x77adc500, 0x14c89984, 0x9a02dc1a, 0xc1aed13b, 0x2454abcc,
+    0x99b8f838, 0x9bac834b, 0x48dfab8e, 0xa4ac9c45, 0x3ecc88ce, 0x5b2342b9, 0x8362dc41, 0x49f23129,
+    0x2e039ad7, 0xdf4a654a, 0x2829b5aa, 0x5fdb4a84, 0x544ed570, 0x01611c1f, 0x988c9e67, 0x15966f68,
+    0xe9897c2b, 0xbf36aeb3, 0xe42332d1, 0x255b6c15, 0x3b6dbca4, 0x463d97ae, 0x22913783, 0x10b34272,
+    0x06efabb6, 0x9d3254f4, 0x993d52ae, 0x322780b2, 0xdd1909de, 0x190c11c1, 0x4b3fe31a, 0x9a2964f2,
+    0x0536f0c2, 0x0fe93956, 0x2f973f47, 0x2cceebbc, 0x53ab84a5, 0xe7aab9c4, 0x3c782502, 0x3c6d4d91,
+    0x825afc82, 0xe2625305, 0xa5193574, 0x0b6eb68a, 0x9516daab, 0xa2c4ebfa, 0x643c85ca, 0xc1a5970a,
+    0xb2adb4f1, 0x47d241bd, 0x5499e31f, 0xc78d8160, 0x97417140, 0x31f4e023, 0xa481c5d9, 0xf7556b72,
+    0xdd41134d, 0xa5aa5c56, 0xea38810f, 0xb8ae68af, 0x40e0c856, 0x93106f07, 0x1760d366, 0x45b049c2,
+    0x4ff0f7e5, 0xde8c5d4f, 0x6ca05d4d, 0xdd329a18, 0x208c19ef, 0x98a5ee9e, 0x7ff2dbed, 0xe261277c,
+    0x44fdff5f, 0x3f7bf965, 0xb7ebf26a, 0x3955a042, 0x6985ba25, 0xe8c7297a, 0xc54a8c8c, 0x131d0502,
+    0xb8765dba, 0x5db97c54, 0x206ef0b2, 0xa95bc77d, 0xc3b2ee4b, 0x34642c01, 0xa0479cf9, 0x6cc65582,
+    0xc81fe6d4, 0x15c3c0b6, 0xbf465aaf, 0x0c1caa48, 0x00561172, 0xf6d98407, 0x4ced0cea, 0x045b47e7,
+    0x5de71e2d, 0x03625f40, 0x26ce5897, 0x14f99b49, 0x4fb24709, 0x3bd9d2e7, 0x7bca0456, 0x38de0744,
+    0x3d483b58, 0xcfd1e33c, 0x558df085, 0x9faa8e1a, 0x39d710d6, 0xe01a5b37, 0x72c10345, 0x72293b6b,
+    0x21855137, 0xbfeee164, 0x259a8759, 0x9a5d8926, 0x1742a540, 0xca4e8307, 0x230764b8, 0x631e0ac7,
+    0xbda759f6, 0xcf3eefec, 0x9ea95b47, 0x662322ea, 0x91dd41e2, 0x0e3dd88f, 0xc445c801, 0xaa45feb4,
+    0xeb7cd65e, 0x09e11245, 0xac9f3716, 0xf982197f, 0xc090f71c, 0x42150043, 0xc15689d2, 0xc7a7373d,
+    0x334e8194, 0x80cf92e2, 0xd9d3c5f3, 0x206cdc5d, 0xbf11bca4, 0xdfe06f05, 0x024cad5d, 0x3a2d8302,
+    0xdbd600c3, 0xe36ac06a, 0x71bbf974, 0xf3ff932b, 0xcaa13cf6, 0x69a5d05c, 0x247eade2, 0x2680c9ef,
+    0xfe058fdc, 0xa0b1666e, 0x4fd2364a, 0x23d57a99, 0xf16c3590, 0xf9df5778, 0x0fe594bb, 0x8a6199ee,
+    0x9ec63c62, 0x38219c57, 0x333eb676, 0x73e1906a, 0x2633d6e2, 0x70e93f93, 0xf75fec8a, 0x30a404ef,
+    0x46e8d61d, 0x7badf10e, 0x2de0fa56, 0xce5520a2, 0x3600c678, 0x85a6b3c3, 0x435a5f7f, 0x898e94e2,
+    0x21430495, 0x7a7c5b74, 0xebbd317b, 0x760b567d, 0x39d201b3, 0x53ba43bf, 0xc917910a, 0x0699ad35,
+    0xf255638e, 0x28d32db9, 0x8155905a, 0xad57d8dc, 0x51984aa3, 0x15e84237, 0xf9e0b3fa, 0x34e4f34d,
+    0xfab2278e, 0xee551db5, 0x81108de3, 0x6ed58859, 0x793a2213, 0xbe62d892, 0x7ad89ae2, 0xb87974a6,
+    0xdcb38db3, 0x1a58897c, 0xf782033a, 0x3b44d561, 0xb77104c1, 0xf9963306, 0xc8b2d4f5, 0xafe48389,
+    0x24c87bf5, 0xd4f4566a, 0xc3561aa7, 0x0aad12c7, 0x9476146c, 0x822d82a5, 0x4b7da933, 0x7446318a,
+    0x8edf4aa1, 0xc0568a4d, 0x47bcb599, 0x49fd04ab, 0x2bacde66, 0x7faf6f3c, 0x9fdcc52e, 0x7ee9f641,
+    0x5f59a13f, 0x996c2bfd, 0x797ecfe9, 0x34cc6cd0, 0x9019eec5, 0xbf400597, 0xa7e2e422, 0x86fecaaf,
+    0x9c9c2838, 0xcbf89b45, 0xd99fd805, 0x7cd3204e, 0x665176f5, 0xa3cf7668, 0x43012787, 0xa7ee83ac,
+    0x0b5edd21, 0x9d547096, 0x2393fae2, 0x6373d1ae, 0x7759da44, 0xcdd12782, 0x32e8441d, 0x1ea0deb9,
+    0xbb74bd83, 0x26a13a5f, 0x5b25b875, 0xe8b45277, 0x8043a5c1, 0x4c1cc256, 0xe13791b7, 0xdf21aef8,
+    0x937a9886, 0x86ef172d, 0x7588be9b, 0x5c84d865, 0x7c8f05c2, 0x6502a0ee, 0x1c6bf09a, 0xc47a5920,
+    0xf677d983, 0x173c3ca9, 0x27a51c7a, 0x54f9b84c, 0x845711b6, 0xfa5361fc, 0xc54f0af5, 0x1e36700a,
+    0x7789b83f, 0x1d0340f4, 0xb77137a6, 0xa377ed10, 0x1a0533a2, 0xbb7f6c83, 0x74ebab3c, 0x5bd93319,
+    0x54930a1e, 0x39ba33f2, 0x1e9fe853, 0xc805071e, 0xe4570830, 0x93579dbf, 0x6f55ffaa, 0xa034079c,
+    0x73d73e1f, 0xd1725557, 0x744259c2, 0xba2e0d70, 0x7cab21fd, 0x3a7d2927, 0xac6b64fd, 0xf057f2f5,
+    0x7416da6c, 0x2c7382c7, 0xe3f5d639, 0x32349969, 0x25c184e8, 0xa35c0984, 0x6f954132, 0xb70ab3e3,
+    0xc285cd05, 0x6865991f, 0xac2702ec, 0x92600a09, 0xa6098389, 0xd2d42a56, 0x7b5eeeee, 0xa5cf4187,
+    0xc3dc3721, 0xab997859, 0x6791afca, 0xc3a71fb1, 0x7e634984, 0x4b14c328, 0x1250d840, 0xa6571540,
+    0xa4f80be1, 0x76500ba4, 0x157fa68e, 0x8edc5561, 0x8a4e2f8a, 0x8cb59386, 0xf698142f, 0xbc29d63c,
+    0x1be9af41, 0x45fca5dc, 0xf300d76e, 0xcbb31bd5, 0x811bebca, 0x8194968e, 0x309c1207, 0xbf0b2c6f,
+    0x8430adc3, 0x229a5cc3, 0x9f71fd4e, 0x04399512, 0x0aac8d5f, 0xb1ceb1b3, 0xc16d9239, 0xa44013a2,
+    0x00000000,
+    0x5e042c44, 0x0f4c5f33, 0x2a6fefa3, 0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da,
+    0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000010185179881672\
+                          43043134222844204689080525734196832968125318070224677190649881668353091698688 */
+  { 0x00000000,
+    0x653c6d66, 0x32cd5cf4, 0x1c413750, 0x7982647d, 0xa47c1ca3, 0x4f2ea5a9, 0x1e7f2503, 0xe8cfce29,
+    0x30093286, 0x765f63a3, 0xf503ed55, 0xcc51817e, 0xfdffc7d5, 0x5d692102, 0x97d24021, 0x3a67cec4,
+    0x8cf2b7ee, 0x4ff34362, 0x5b639a08, 0x4ddbaad5, 0x3bda2445, 0x0452f7f2, 0xb617e721, 0x362e429f,
+    0xa755992c, 0x02259d13, 0x27f2d0ae, 0x97c4bb52, 0xdd245372, 0xc91c1714, 0x6e6f89f4, 0x8520805c,
+    0xabc43ca5, 0x113fc95f, 0x095475c9, 0x7c9eb6d5, 0x53b65765, 0x8fec9444, 0x6abc9952, 0x327c87e2,
+    0x0015d1c5, 0x1401a33d, 0xbe889187, 0x598c0f3b, 0xa6270901, 0xbe827388, 0xc5bef2c7, 0x5454c4c8,
+    0x9407d022, 0x2709b668, 0x08e72fa0, 0x090bb672, 0xd5cebd3e, 0x40cc0c86, 0x9e5cc215, 0x00633e65,
+    0x61a7d54c, 0x26cc9a4f, 0xae1743bd, 0x02ceebfc, 0xe62ac912, 0x0ef29f11, 0xea4ae424, 0x1552caec,
+    0xbe327b05, 0x8c47c987, 0x81546aef, 0x6d6bdd09, 0xd4714829, 0xe3505601, 0xfed1c4af, 0x2299f29b,
+    0x53ff6795, 0x9d9d45e8, 0x3e14eaf4, 0xb1ec3128, 0x537c3d46, 0x49a2a89c, 0x8c86c44b, 0x2cd3e8b9,
+    0xa5a75b43, 0x830c9742, 0x22a36afd, 0x94840c43, 0x40787348, 0xcd9a6870, 0x1e1d5571, 0xe2be7aee,
+    0xf4fa6ddb, 0x5c35dcfa, 0xf7da4567, 0xe547775a, 0x20b35870, 0x2fcece88, 0x9493047f, 0xa5fa4de1,
+    0x26eb922c, 0xd003f36a, 0xd4cf24ac, 0x4f5e3d88, 0x6cd0f711, 0xb0bc4bfa, 0xd8a855cf, 0x9d324aca,
+    0x2e66b456, 0x694b2e7e, 0x3979f24a, 0x79708c0d, 0xb1823ec9, 0xf9de2769, 0xfeb25510, 0xbbfc5fa6,
+    0x8a8341b1, 0x5671aee4, 0x3398f1a1, 0x35f5f58b, 0x273fe02e, 0xb397e900, 0x1f0cb4f8, 0xd2d03893,
+    0x77344322, 0x70dfde10, 0xde05b3d0, 0x3533d2c7, 0x59502234, 0xb5c2cdd0, 0xcc81dacd, 0xfaea9958,
+    0x1be928cc, 0xf55a2a2e, 0xe6bac0b0, 0x9da22380, 0x777fe78a, 0x64bce4fb, 0xe67d09df, 0x6a374645,
+    0xd2aa7847, 0xb55dbe17, 0x3bf65fa9, 0x8838d01b, 0xb8730e85, 0x9aeb941c, 0xc47f2ae7, 0x34d002f5,
+    0xc9ba4567, 0xb8ff47b8, 0xc692c401, 0xee056171, 0x9ccc0f79, 0xaec36790, 0x5b320a33, 0xedb8dc52,
+    0xeadaa7a5, 0x9708cd08, 0x28bc71c8, 0x25316225, 0x4a9e8599, 0x29d2bfb2, 0x1d38403b, 0x74f7d508,
+    0x396858c4, 0x1f02b3d7, 0x0c9d9edb, 0xb6df6e47, 0x951daf57, 0x164707d9, 0xac87e74d, 0x0153bf39,
+    0x5e7243c4, 0x1d95f631, 0xe192e1cf, 0xf8909723, 0x44f94924, 0xd1e3e4c5, 0xd383f68d, 0xe1a89645,
+    0xf2530a37, 0x3942138b, 0x11534f42, 0x21346ced, 0x0c415df0, 0x83562555, 0xbe8d7b26, 0x2df0d241,
+    0x89c4a597, 0x31ca132a, 0x738d1ed6, 0x7bc57379, 0xacece75a, 0x4e9a3add, 0x38c6d230, 0x6bd1fcb0,
+    0xd59af67e, 0x68638549, 0x5a84b39b, 0xf06c00a8, 0xe39db7c3, 0x0f768891, 0x226c8f14, 0x04c4d741,
+    0x82278070, 0x5c1df53b, 0x2dd75786, 0xf7b21188, 0x56fdcb25, 0x3470109d, 0xd903fa0d, 0x00e9c7d6,
+    0xd32da87a, 0x3c336a95, 0x5b28ec85, 0x2fe51013, 0xb86bb063, 0xeb83bd1c, 0x2364c524, 0xc3174c6d,
+    0x659354cc, 0xaa759ce2, 0x8bc26973, 0x0daa7198, 0x0ac4c870, 0x225dacfb, 0x99e430ad, 0x3aa41eb4,
+    0x487da3b9, 0xadbfab8f, 0x6084c289, 0x11c06236, 0xe318349b, 0xf45c6fde, 0x1c14e4f0, 0xbd096f32,
+    0x54fcb47b, 0x7f113ee7, 0x907f4c65, 0xd593384d, 0x8ecb0099, 0xbf5c06b5, 0x039c3bdb, 0x0ed88ca9,
+    0xd360f2cb, 0x65b884da, 0x672491d7, 0xbdc02391, 0x42e46955, 0x494f54b0, 0xa5ba48fd, 0x06ef2419,
+    0xc07e250f, 0x858bc96f, 0x71e0e5ae, 0xe6f25842, 0xfbca3421, 0x81489175, 0x5624da56, 0x026d0e5f,
+    0xdd221d6e, 0x48db8499, 0xe1a8a703, 0x29e11479, 0x627fe381, 0x66d58afd, 0x6e74fbd8, 0x120df77c,
+    0x4b8381a1, 0x9bbebc6d, 0xcd5b2a64, 0x47776c60, 0xd24ddd4c, 0xca8fb4c6, 0xd1c27002, 0xfc7e9cb8,
+    0x2d67b026, 0x1a261232, 0xd2e2e35c, 0x6e42628a, 0x1e8c64d2, 0xcc7d0af2, 0x074d7e42, 0x4ff68be5,
+    0x106f104e, 0x4694c91a, 0x34744e42, 0x6682dcc2, 0xf11faa3e, 0xa5c0e578, 0xc4cdf83c, 0x6670fc4a,
+    0x8e1342df, 0x3731439d, 0xdb75bbb2, 0xc7cc3aac, 0xdc176572, 0x0604f253, 0xa6b19b50, 0x7c5dad95,
+    0x1f0522f2, 0x4281fff6, 0xb47f3130, 0xeafca88a, 0xfaade8ba, 0xc169d3f6, 0x2a855d8f, 0x4829ac0a,
+    0xfb2dc65d, 0x45f0b52a, 0xfa61e18c, 0x65bfdc32, 0x92460be5, 0x4bc6e98c, 0xe70af0f8, 0x7c7fdf07,
+    0xe943067f, 0x6956008c, 0x9a4ff468, 0x27ab71b4, 0xd582e5d8, 0x5857ed1b, 0xc1d895d4, 0xd36802a7,
+    0x6afbcf92, 0x39cf4e17, 0xad4fb45a, 0xf616df2e, 0xb922992f, 0x6243623a, 0x078eeaac, 0x50e1b2e4,
+    0x70fbbbe2, 0x17793c54, 0x747ed7d8, 0x19091349, 0x857fc5b6, 0x00df6d75, 0x4b42fc95, 0xecb0e228,
+    0xf950f119, 0x57a60f9f, 0x5cbfae10, 0x8f779079, 0x8444a1d0, 0xfd684129, 0xbd1d57f4, 0xeac70a8c,
+    0xa0d6ad3b, 0x71984ce9, 0x7ced0f1b, 0x6cc99095, 0x48ba6c70, 0x04991d13, 0x67daa7dd, 0x4aa1dc29,
+    0x63d89b3c, 0x04c6f9f8, 0xcb209200, 0xf429abba, 0x74b2c0fa, 0x9d7576f1, 0x9579f110, 0x3ef1f7d2,
+    0x25337f3c, 0xd1d66543, 0xa71975a3, 0x12141cbb, 0x05550cc4, 0x8e74fb1d, 0x716c005c, 0xfe6ba0de,
+    0x320f2337, 0xdf0b79bf, 0x313b0d16, 0xd118c08c, 0x7f4b6589, 0x5e438a28, 0x481042ca, 0x5a4683cf,
+    0x99a7947b, 0x5382c231, 0xc0e8074b, 0x6f2a8929, 0xeee1a20c, 0xd3f81a7f, 0x8a6c9032, 0x343b1f92,
+    0x568bc8be, 0x1ffc46ab, 0x5f4cb177, 0xb3fc50ef, 0x44ea5ac9, 0x898d32ce, 0x243a5677, 0x6c677a16,
+    0xc2975dca, 0xec567580, 0x7b7a7051, 0x533047db, 0x967b3343, 0x091d82fc, 0xb5f75319, 0x17f9089e,
+    0x6fc6885b, 0xfb0c5782, 0x6516b33c, 0x1722da9f, 0x8d8b512b, 0xc95b5b24, 0xaa6f8fb2, 0x0873dc0d,
+    0x6eea7ee8, 0xc631978a, 0x294eb32e, 0xadb79f10, 0xc07f8d30, 0x06946f45, 0x505b6c2c, 0xaa79abe3,
+    0xd620bb35, 0xd42d05ba, 0x7560dd41, 0x5fd45a0e, 0x31ba017d, 0x01753977, 0xe5532e54, 0x039f2c08,
+    0x60ba3b06, 0xe2f2b26d, 0x1c8cdc17, 0xbb67f885, 0x2b833fbf, 0x5ef12bf3, 0xde023c59, 0xbe1a83d1,
+    0x9cca113f, 0xd33437a6, 0xdcfd9c10, 0x2ad3bb2e, 0x1248b531, 0xa6d37d1e, 0xebc01a77, 0xaf0c9b37,
+    0x0fa105b9, 0xc316a520, 0x61969759, 0x10ec0054, 0xe659a441, 0x4ef7158a, 0xa103d19a, 0xe9708488,
+    0xfbe53f86, 0xcfdbf67c, 0xe84fc7d9, 0x721ed8e4, 0x083f094b, 0x4954cdce, 0xf5832137, 0x7a4c8083,
+    0x0d689da8, 0xbd78bc82, 0x4cf6b5c8, 0x07e7a178, 0x1556b51a, 0x55aeebe9, 0x256ac754, 0xed7959f3,
+    0xd5f0141f, 0x8170adaa, 0xa917e3aa, 0xe3343599, 0x3c85d37f, 0x36d8beac, 0x128ab84b, 0x41986b4c,
+    0x54745316, 0x3e459066, 0x27bae078, 0x6fe10c80, 0x76f2ac69, 0xd4db3ba8, 0x31f28322, 0xc91d45d5,
+    0xe74132e3, 0x9dcfa302, 0x80d409ee, 0xafcc533b, 0x5fecc365, 0xe2f8d06a, 0x67a027e5, 0x14eb6bbf,
+    0xde015401, 0x767f74fb, 0x35c2d37a, 0x4c97a315, 0xbceb38cd, 0xa9578882, 0x7427b5f7, 0x4059ace5,
+    0x82f1ce1b, 0xe6c87d70, 0x3f433629, 0xfcad1a0c, 0x722dd55b, 0xb5cac719, 0x583f4514, 0xc8718ca4,
+    0x3a8cbd17, 0x49d09dd7, 0x53203aa0, 0xb974e254, 0x1819e78d, 0xb140e33b, 0xb01f454a, 0xfeafce9a,
+    0xca4aad06, 0xea9cd3d7, 0x22f14098, 0xf8a721ce, 0x2295340c, 0x4b7563cd, 0xcc55602b, 0x68ada155,
+    0xcac76230, 0x8dd7d54d, 0x1feea572, 0xbf0655f2, 0xc5b7d809, 0x3867daa1, 0xf476364e, 0x0e95ea91,
+    0x21e5fe38, 0xe53157c3, 0x1f3e5e15, 0x3cedd25f, 0xf0555d0d, 0xbe7c6622, 0x36ed9460, 0x73f33d7d,
+    0x69c5c1bb, 0xfbca09eb, 0x412e7a46, 0x96a0d2bb, 0x7eaab5ef, 0xaed1d0f0, 0xa3805b14, 0x30ba8b47,
+    0xcde10ed8, 0xe040d55f, 0xf81e66c5, 0xb5431c40, 0xda6b7be7, 0x953ef4d3, 0xbb6b4e0e, 0x565e1f2a,
+    0xe73afa14, 0x49fe6878, 0xde523dfe, 0x4421f1ff, 0x59d9e8a5, 0x4271d79c, 0x6556cf7a, 0xf009b7eb,
+    0x9d0e3f5f, 0x804d084a, 0xeb2c9f1d, 0x19b3667d, 0x50408eb0, 0x8ad920da, 0xe11149a4, 0x11309252,
+    0x0f1d24f5, 0xc0051860, 0x00090758, 0xf556d392, 0x147a7a37, 0xb71a58f9, 0x10b56772, 0xa0e26c3e,
+    0x4646fd74, 0xb439760f, 0x56ff748f, 0x27154895, 0xe88b43bb, 0x9830edc7, 0xe7333d12, 0x65cdca43,
+    0x26222529, 0x59c3f9aa, 0xca3ccd46, 0x8896c3ce, 0x8a4fc6fa, 0xeb297893, 0xdf514abb, 0x8d4f6ecc,
+    0x6823f99b, 0x27953599, 0x991655a2, 0x8c67dc31, 0x8e5983f7, 0x536a8112, 0xff9ac6d0, 0x34ec5d33,
+    0xd869d402, 0x396902a6, 0xe6c8870e, 0xa455223a, 0x778cf908, 0xbfba787a, 0xc8a7a51f, 0xda83821d,
+    0x63fade16, 0xa061dff3, 0xb95e0f31, 0x321cbc4e, 0x91980f75, 0x2fa66472, 0x55838f84, 0xe592c97d,
+    0x10d848f8, 0x646244d2, 0x895906f2, 0x4105f23c, 0xd56a4120, 0x7e0d8691, 0x43b4c945, 0x704b835b,
+    0x17afbcea, 0xd8e8b68e, 0xb5630f0a, 0x7a7d95a6, 0x19bd6352, 0x0cb9c310, 0x59fad0d9, 0x4beea76d,
+    0x4ceb1c05, 0x81bfb586, 0x579f093d, 0x11827c7e, 0xde5111d4, 0x752b7233, 0xe9af3eb2, 0x09fdf8ba,
+    0x2b333e90, 0xbf2f7505, 0x0c25629e, 0x0ed7461c, 0x5f3a4b78, 0xa335705c, 0xc20296ca, 0xf48414ed,
+    0x64526040, 0xf8242e59, 0xd23a1bdb, 0xc910e047, 0x780b56f8, 0xa5d77f78, 0xff690691, 0x37d68d48,
+    0x50941808, 0xb59bfc33, 0x323f8106, 0xb8ee0461, 0x34fcb170, 0xd5e909f9, 0x1342953c, 0x882bbaa1,
+    0x7ce614a3, 0xcfa18533, 0xf679a7f9, 0x764e0258, 0x4475b3d0, 0xb7dc046e, 0x9964be30, 0x12dfa993,
+    0x08651cbb, 0xee69bd1b, 0x33e28578, 0x14e7e4c7, 0x59e83461, 0x748b14e0, 0x09e55c28, 0x14ab91bc,
+    0x59e2ac0a, 0x44006203, 0x562a80ea, 0x6e96e858, 0x02075b63, 0xe1f9f127, 0xc8b217c9, 0x14f537e6,
+    0x0cd83d86, 0xca91fcfb, 0x0886c81e, 0x77db9868, 0x5eaf9016, 0x121fa3b4, 0xff4751f6, 0x7b081a35,
+    0xb70fa489, 0xb4ef4538, 0x7be80c30, 0x61dc64da, 0xf126e69f, 0x12b49f65, 0x6f349158, 0x5b19035b,
+    0x099bd195, 0xfc50e584, 0x0c103f9e, 0x2d583cfe, 0x8a4e4a8e, 0x44daa32d, 0x4cb4b22d, 0x3679f3ba,
+    0x358f4422, 0xf8f83abf, 0xe0e67d3e, 0x95e101ac, 0x97fea44b, 0x84969b49, 0xc18e22d0, 0xd561d9c3,
+    0x900795c2, 0x86a70fcc, 0x16d8a331, 0x093dea2e, 0xde1802e9, 0xb4a4c10d, 0x1f3ad7ca, 0x2269de76,
+    0xa7ec02cd, 0xac9e1313, 0x78b7fe31, 0x9df45678, 0x1caa8834, 0x921ba3a0, 0x2213915b, 0x07348322,
+    0x8a7e5af5, 0x22d08cf5, 0xc024de0f, 0xf618abc3, 0x2da966d1, 0x9c0e319f, 0xa2ea4044, 0xbaa36c28,
+    0x6b36b7de, 0x3504a7fc, 0xcb5ae0ec, 0xd511b169, 0xb959d482, 0x182b46b9, 0xbf85700c, 0xd0ccb4da,
+    0xbc006e21, 0x9129b8b9, 0xffe260c6, 0x2b34ce74, 0x783098ad, 0xe7a81d88, 0xcdb61c05, 0x0105a129,
+    0xb2dbd7b4, 0xd45de2a7, 0x43a5ed5e, 0x457a8415, 0x14c16421, 0x9751b950, 0xabd423f8, 0x00deae24,
+    0x387b37af, 0x793db90b, 0xe52bffaf, 0x8532c6cd, 0x792c643e, 0xb4e6b031, 0xbe8854cc, 0x924f05e6,
+    0xc2ce598d, 0xafcdd48f, 0xb7428b43, 0x875b70ac, 0x4a3b9773, 0xb2b7e220, 0x04cce7b7, 0x824599f8,
+    0x4f457a06, 0xfcb985d6, 0x46204ee8, 0x6e39010f, 0x661a59b9, 0x7558bcf9, 0x99c29438, 0x98aabb51,
+    0x2c5769b7, 0x102caadb, 0x78fd4dca, 0x62cc5901, 0xb44eccee, 0x0f503fe3, 0xbbbb8d84, 0x5c9e8bee,
+    0x15fc5931, 0x6c1bf1ec, 0x9f8d80a2, 0x5af3a2a3, 0x7d62775b, 0xec24ebff, 0x77f4b61a, 0x0b76942c,
+    0x1797ba43, 0x055412c2, 0xe53d7e90, 0x5eb79c8c, 0x353d03bf, 0xd51e6780, 0x54c6142e, 0x14d2c519,
+    0xfc6be3c4, 0xbeeb85d3, 0x53569fe3, 0x8cde58f8, 0x033cb792, 0xbd1f5cc7, 0x46e2e214, 0x26231223,
+    0xdbe703c0, 0x5eb9995f, 0x09403b71, 0x9d7d25b8, 0x4b8311ad, 0x918fcb9e, 0x273d86f7, 0x6152b783,
+    0x4e3a2db8, 0x28965883, 0x0ade3b56, 0x40196cbf, 0x1e1904d7, 0x11089ff5, 0x3dce0ab9, 0xc54958ce,
+    0x3f7a9b19, 0x894fdfe1, 0x9e406ddf, 0xf7a2ff96, 0x104e29fd, 0x03dbcc74, 0xeb4e31b1, 0x68babec5,
+    0x1c65a927, 0x4c9ed53d, 0x284b85e4, 0x7665a38c, 0x5aa70c90, 0xb23ffe23, 0x8cb43423, 0x2cbd6669,
+    0x04bcc365, 0xd89928af, 0xbded9439, 0xfeb5118a, 0x58d1ebd1, 0x5a11f256, 0xe13a4606, 0xedf0ee95,
+    0xf50625c5, 0xb474b55e, 0x6efcffe0, 0xaae97a6c, 0x4b11829e, 0x16def598, 0xa8045fa3, 0x28f40483,
+    0xb8188c2c, 0xca3d9af1, 0x52a5c80f, 0xeeed3703, 0x6d8ff33a, 0xdeeb0d98, 0x2a5009a7, 0x9a2400a5,
+    0x9684becf, 0x09ae78c0, 0xe2a28423, 0xd1ddcae0, 0xee1fd288, 0xbe1a6eab, 0x2aa5ac96, 0x957cbdfe,
+    0x55708122, 0x2dcab683, 0x01c4164b, 0xd05561fa, 0x9cbb9152, 0x054b3976, 0xaf46ef3b, 0x71888d70,
+    0x0dd969cd, 0x4f08fd65, 0xf87783ba, 0x25a2b7d3, 0x1874326b, 0x7fec8779, 0x8b83273d, 0x44b3ad83,
+    0x96c446bc, 0x37696a0b, 0xf039ebb5, 0x545cfd1e, 0xc9296e0d, 0x595316f3, 0xc376b4f0, 0x1f8ea1b5,
+    0xcc621b46, 0x0ebc734f, 0xfc95fbb3, 0x89d5a5b3, 0x21018949, 0x8dc2ad67, 0x77280d8c, 0x055fb067,
+    0x331017ea, 0x4221901a, 0xb7717be9, 0x931f0130, 0x4bc06f26, 0xddfda61e, 0x1b16c548, 0x17ed1919,
+    0x6eae2d81, 0x3bcd182f, 0x5b7087fd, 0x0626fc02, 0xe9951904, 0x95fb7f78, 0x8b863e9b, 0x6e179c02,
+    0x1346c43a, 0x66d49cdc, 0xdfbea9da, 0xe4b91d7c, 0x1d9ada0e, 0xb42a30d8, 0x14ea5c5d, 0xff4566f3,
+    0xde1e1b23, 0xe533ae0d, 0xdd73145a, 0x9148dfb1, 0x02155112, 0xae8a2542, 0x9feee8ef, 0xa88652a8,
+    0x66a90e20, 0x14f08e57, 0x0c960340, 0xa311398e, 0xd5d40a05, 0x31738f9e, 0x94b4d9fe, 0x47b424c4,
+    0xa9ddca5a, 0xecf1316a, 0xb2f3e700, 0xaf1c5527, 0xa93903cb, 0xc414ac2f, 0xad0b449f, 0x2d209653,
+    0x4b9fae2a, 0xee897b8f, 0xd405d03d, 0x866d4488, 0xb23faca3, 0x280cf17b, 0x2ff0d7c3, 0x229e70c4,
+    0xcc511240, 0x17b80f3e, 0x8cd5cfd6, 0x515fd00c, 0xad2c05ad, 0x42030121, 0xb9990e4c, 0xd20457e9,
+    0xc72433e7, 0x92a4c0a6, 0x1799a35a, 0xcd3f1c43, 0x49682a45, 0xebf81598, 0x201a5aec, 0x2b190f5d,
+    0x91eaf973, 0xbda1a8ed, 0x84709f66, 0x789d5875, 0x475aa879, 0x48548622, 0x037cba26, 0xad9a4a67,
+    0x83591efb, 0x94e2a0bc, 0x9c02e71b, 0x18d5e871, 0xbc854d4b, 0xb7e8f2c9, 0xf50ba572, 0xcd0e6829,
+    0x00000000,
+    0xaf021621, 0x87a62f99, 0x9537f7d1, 0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d,
+    0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000005092589940836\
+                          21521567111422102344540262867098416484062659035112338595324940834176545849344 */
+  { 0x00000000,
+    0x734af829, 0x457969bb, 0xb404fd9e, 0x283e6587, 0xdce9f75d, 0xf1efe6ad, 0x67d3e217, 0xd9bfa5fa,
+    0x13c4aa4b, 0x407cbd16, 0xf9a05320, 0x4ddff14b, 0xb5f87273, 0xc6c8d902, 0xbf7ae395, 0xde5eab32,
+    0xa89d4d51, 0x6fea047f, 0xbb1590aa, 0x1bc6f65a, 0x17d4979f, 0x290f40ef, 0xf65ebf40, 0xd12c1304,
+    0x47d3df4a, 0xf5f504d3, 0x331fda03, 0x58e1039b, 0x529345ff, 0xef41c753, 0x36b1376c, 0xebad6ad6,
+    0xdee6f7fe, 0x6509b3f9, 0xe70647bf, 0x18887ed9, 0x528c63ed, 0xb1e453ef, 0xfdecfdb6, 0xd0533dd4,
+    0xb128695a, 0x1ee8a6a0, 0x9c044867, 0xee09a03c, 0xf4a25e05, 0x93b9fec1, 0xf6fa540a, 0x8489c67f,
+    0x1a98dd5b, 0x3b05aac3, 0x2e050c76, 0x7ebba99e, 0xef0be437, 0xddf6f5c9, 0x9ceb8143, 0x3e80679a,
+    0x03ca98e3, 0x952e52ef, 0x36487b28, 0xb4185fd6, 0xebc3a5f2, 0xe015863e, 0xa7fb7d6f, 0x300bdd12,
+    0xc6ad76c0, 0xb5e0bd09, 0x9a1304f3, 0x4073bc07, 0xc19248aa, 0x164b7270, 0x94648b0e, 0x84d7440d,
+    0x0006fcce, 0x1f3d985d, 0x1dbdfaf1, 0xf4e12d07, 0x9df7ced2, 0xab63db69, 0xbc8d303f, 0x70bfb50b,
+    0x06e0b3a7, 0xf42c2f90, 0x93002505, 0x676f45d3, 0x40136523, 0x989aa51a, 0x301c068f, 0xb5a13e02,
+    0xcbc300c6, 0x7438dc8d, 0x6885d1ab, 0xd1e6c347, 0x874775f4, 0xbade59a6, 0x1a99ae5b, 0xe72ff213,
+    0xf6ba9dc0, 0xb23baf9b, 0x9c625764, 0xa8144dc1, 0xf0c688d5, 0x538dffd4, 0xdc378ae9, 0x833fa21f,
+    0x90b20943, 0xde099cd9, 0xa7f02f93, 0xf0f0caf0, 0x030afaf9, 0x708c68a2, 0x507b551a, 0x900da08b,
+    0x02a97915, 0xc97f6f09, 0xa31c48be, 0x25a8a75e, 0x2e6b7dae, 0xa840dc3e, 0x682b084c, 0xefed49e8,
+    0xcb20f763, 0x22c900d8, 0x97339541, 0xae7dd21c, 0x0f2ad2bf, 0x909a9ccb, 0x0441c2ca, 0x3481c850,
+    0x682f6c1f, 0x822ac975, 0x555f1c0e, 0x995adfb4, 0xe70a3f72, 0xe82cfe68, 0xb1bf0f3f, 0x75f1610c,
+    0x6fa62196, 0xb0dd36cd, 0x9e27f232, 0x48dc5e78, 0xe68e9446, 0x16ac75bc, 0xdfea4b68, 0xc49a0174,
+    0x6431503c, 0x4e6fa643, 0x4b0f6a58, 0x8d6a7513, 0xe0eaad8c, 0xfda538ca, 0xfe03169c, 0x9e55aee5,
+    0x304be514, 0xfce81a60, 0x3a1cc862, 0xdb421946, 0xa3e19563, 0x1b020100, 0xe2ffdb33, 0xb724fd9d,
+    0xe0ada86b, 0x7b67e39a, 0x98aea2f5, 0xa20deede, 0xd1a5afdd, 0xd4f596a3, 0x68ea8444, 0xbd4b02dc,
+    0x3c5e9264, 0xd4b94815, 0x9afabd02, 0x5fc9c0cd, 0x3ac1e4c9, 0x22158fbd, 0xc10a9b87, 0xb3a1a34b,
+    0xb6f97886, 0xcfe7b8e5, 0x2771a17f, 0x8ebe201e, 0x7c942d1d, 0x8dd348e4, 0x2ad0f472, 0xd827b34e,
+    0x7d341bc6, 0x499a77b4, 0x67ad297f, 0xe7619690, 0x5143afb3, 0x22450dfb, 0x841dd362, 0x451a55b4,
+    0x77f2c205, 0x94de21f4, 0xe14e34a2, 0x1bc68ad2, 0x90ca6240, 0xd2f33d1e, 0xa77056a1, 0x95c88c58,
+    0xe9f58426, 0x999417d9, 0x4da86802, 0x1447ae83, 0xe3e90459, 0x4b294bd3, 0x827b8ee2, 0x545f49d4,
+    0xc752bf7c, 0x61907c09, 0xf0872304, 0xe83ba0ba, 0x7b98a3a3, 0x6356cd4f, 0xde6ae578, 0x12576f9d,
+    0x38140671, 0xcf7046fb, 0xf32bbd73, 0x13a66c07, 0x19d30f93, 0x92859faf, 0x5883041a, 0xa1fe6db9,
+    0x900558f3, 0x1db1febe, 0x21d3e34a, 0x3b90954c, 0x44ebac3a, 0xce6fe6a4, 0x67809156, 0x20983f34,
+    0xb6e93676, 0xf3cb6967, 0x90abcc82, 0x68cd05d9, 0xa96eb125, 0x2f700450, 0x40844918, 0x9c6ee4f6,
+    0xbf2ad773, 0xdbed84a3, 0x11b4d9a1, 0x6ab70de9, 0x88b223dd, 0x390b7883, 0x525a24bf, 0x0b494bb2,
+    0xef8ad492, 0x88408a21, 0x1ce1e59e, 0xa7c796aa, 0xf8168b43, 0xab715750, 0x6d5a2e9e, 0x0dda6246,
+    0x334cbd9a, 0xbc70b998, 0xd1233c33, 0x879a701f, 0xa7287276, 0x68f5f6a8, 0x79843ab8, 0xfc165d6e,
+    0x865584ba, 0xa52034d6, 0xd41981fa, 0x1f583e1f, 0x6c998e04, 0x433a75fc, 0x82f5793d, 0xa7719781,
+    0xe9599ca6, 0x36622a4e, 0x9637f9bf, 0xf3962dd4, 0x089ba71c, 0x7399deca, 0xa979cecf, 0xdfb20222,
+    0xad7988dc, 0xbcfd2f5d, 0x97362b85, 0x1b681d2a, 0x7096af01, 0x980edd37, 0x07451203, 0x5599b99f,
+    0x8ac58f3d, 0xaa7631b0, 0xa91e477d, 0x5643ed87, 0xda60e303, 0xb1e05178, 0x5ba94e57, 0x37ad7ec4,
+    0x12127c78, 0x238e392d, 0x3b93ae56, 0x647d5c86, 0x83cbf2a3, 0x5ecdae2b, 0x2e248a5c, 0x9f51007c,
+    0x4e577572, 0xeeabe756, 0x0c623e7f, 0xa8bbb4a5, 0x7acb529e, 0xe71e3dd3, 0x012c6411, 0x00d63a9f,
+    0x31ea772e, 0x3290d558, 0x9f804588, 0x59f804af, 0x4bc546ce, 0xbeb882bf, 0x6b9b1be8, 0x92d433cd,
+    0x569a1c18, 0x57706de9, 0x4bf91d6f, 0xfa7e5b59, 0xa8f3fc67, 0x829ec554, 0x3837c68e, 0x72b73939,
+    0x2f98e024, 0xf7376b11, 0x09b70cfe, 0xf3046e5a, 0x9a87e88f, 0x40d08c99, 0x5cf1d463, 0x7b37ea95,
+    0xdd3f1ea6, 0xfe811ae1, 0x696fec1d, 0xf17c241d, 0xc4437388, 0x4b9cfa66, 0x9cc5a9da, 0x8990b6f7,
+    0x5cdcec67, 0xdd376242, 0x2c47ea59, 0x4b00683f, 0xe5e2fa5c, 0x60ee337a, 0x3b0a7d70, 0x683b6a12,
+    0xd3fd12c6, 0xb6f4cde4, 0x98fce3da, 0x3761b32c, 0xdccd4734, 0x4593c90e, 0xd19dca59, 0x0c284278,
+    0xffe4a13d, 0x281aa874, 0xb0e86375, 0xd6a498f5, 0x82a3e186, 0x8a64bf90, 0xf6fcbb0b, 0x6e4e843e,
+    0x4f767ac3, 0xfc0cad2a, 0xbe489000, 0x394ecbc7, 0xd5633e74, 0x012a14cb, 0xcff87630, 0x46c2664a,
+    0x44c3fec8, 0xacb9ee8c, 0x711fdc7f, 0x446a12c3, 0x06870e7d, 0x8aa6628f, 0x108dbd5a, 0x3b0a5aa8,
+    0xdec8007b, 0x2bf6254e, 0xc0c3c24a, 0x9b31109f, 0x5af6bc6d, 0x494359f2, 0x718a2d04, 0xf6d4cb4e,
+    0xdb0b4161, 0x82d80b59, 0xf8ca288f, 0xf497e840, 0x133a044f, 0x6019d1cf, 0x3d0d099d, 0x644fbef7,
+    0x4e940e84, 0x6c23bd4d, 0xc654d963, 0x639df2fa, 0xe6353ac2, 0xc9cc4d66, 0xf9e1ac49, 0x5b8cece6,
+    0x681c2666, 0x186fd45c, 0xc5126145, 0xc754be14, 0xb9215173, 0xefea8d67, 0xeab41a5e, 0x2302c9d6,
+    0xd0d3dcb6, 0xa2414990, 0x3351416b, 0x69161f1a, 0xe4aa3c32, 0x1ef90c8e, 0x136f2ce4, 0xe3311ce7,
+    0x2146eb13, 0x20e446e1, 0x44601e36, 0x81e7f7d4, 0xb58d2b04, 0xa23e970d, 0xbdd28087, 0xa82e050f,
+    0xf3affb72, 0x0cbf8c33, 0xa9eba535, 0x878f38a0, 0xf3e36aab, 0x8fd9fa46, 0xf9191198, 0x220c43f2,
+    0x52ee3394, 0xbf1d3d36, 0x0605671e, 0xe0b1cc3a, 0x3387c50c, 0x56fc502d, 0xa58cfa38, 0x16778a51,
+    0xb3ce9bad, 0x70888bec, 0x8edad62e, 0x5ea76eae, 0xb8e4dc08, 0xa105c209, 0xfc09e5e9, 0x82dbaa03,
+    0x848cec60, 0x68c2260d, 0xe8eccc10, 0xe8b09ae9, 0xf9f3467e, 0xde55288a, 0x9b171475, 0x01010503,
+    0x8dfff2db, 0x507126e1, 0x8e5bb4e3, 0xc9738ef1, 0x110c27c3, 0x19346e01, 0x0f68ac71, 0x78c46be4,
+    0x1c2fdb47, 0x5f627b37, 0xaa8caecf, 0x3676c5b7, 0x6d8bf224, 0x0f490151, 0x816cb5ce, 0x74588694,
+    0xe4620d68, 0x9096f8b5, 0xbfdef611, 0x51551080, 0x023ca75d, 0x3f13375a, 0x49b80f55, 0x7affcebc,
+    0x2852a461, 0xa502e918, 0x0828221d, 0xa219977d, 0x7c396037, 0x31c9061c, 0x4bd142bf, 0x01581a00,
+    0xd36451dc, 0x26b7c1bf, 0xc1c086a9, 0xa38e9b05, 0x9b2246e6, 0x42d6d24d, 0x55b73f9c, 0xf3a3ee4d,
+    0x1cf8cdc8, 0xb1d022d1, 0xda309a77, 0xd7798abb, 0x964a1dfd, 0x3ab9696a, 0x525feade, 0x955c4b13,
+    0xf088056b, 0xa6d332ab, 0x486139ed, 0x7dbfcbf5, 0x98bc8aa4, 0x40c8bedb, 0xec308e1c, 0x9b9a5979,
+    0x5a370cb4, 0x6f9c355f, 0x642556e8, 0x65c89185, 0x3d3eac9a, 0x16cc5129, 0x4cd1d6c8, 0x8b9a065f,
+    0x96f05864, 0x91648f28, 0xc733ceeb, 0x23347c16, 0x2d5416f6, 0x243251b6, 0x9f13dd6b, 0x99b705a5,
+    0x3910f0f1, 0x39efa7c4, 0x7f75dcb2, 0xdfa01aa1, 0xfdf63fe9, 0x0f379ea6, 0xab204ade, 0xb238a9ee,
+    0xdec2403b, 0x3fdd0e0d, 0xba346eeb, 0xc2801e8d, 0xc6344cfe, 0x717ec2c6, 0xf3b1d275, 0xabd01686,
+    0x091c0685, 0x29f232d0, 0xca9fb65a, 0xfa027103, 0x4184caff, 0xcb6e7471, 0xf98ae27d, 0x13cd3be8,
+    0x89127504, 0x9a390151, 0x5610e50a, 0x241e16fd, 0x0732179a, 0x3f1265fc, 0x22b4046c, 0x6a53d087,
+    0x9a9288b7, 0x427197aa, 0xf14ff82e, 0xe9a9d3d0, 0x976b96c8, 0x1a8495af, 0x05bbe3b4, 0x87df1060,
+    0x54939a60, 0x7e981cc5, 0x8cc97118, 0x71443bb4, 0xc0b5235f, 0x3efcdc72, 0x6501b9b2, 0xe204172b,
+    0xca1b0553, 0xedb2dcc0, 0x2ea19b46, 0x750d196b, 0x6ad88957, 0x67bc676d, 0xb903bbd1, 0x0dbb6340,
+    0xbf87699a, 0xb13c8d89, 0xc0e91f4d, 0xd93d52ee, 0xfcd3e99e, 0xb880d027, 0x32a6d5e2, 0x649cedce,
+    0x49717460, 0x3c5a1430, 0x17874666, 0x21f39f1e, 0x00199556, 0x9cdc4585, 0x70f181c9, 0xe537d6f8,
+    0xd965c5af, 0xd195317c, 0xf3e1fb0d, 0xffcca561, 0x1656e9c2, 0x04084abe, 0x0fb87f1a, 0x3cf5e146,
+    0xec86b794, 0x76d08e42, 0xf121db49, 0x0ee2d051, 0xb55e42f4, 0xabd827a3, 0xb1a1fd60, 0x941b3c13,
+    0x5a734f2f, 0x85e8f584, 0x01b69a16, 0x9080b673, 0x6fe4e89a, 0x1924fc75, 0x0c8e0514, 0x382478f7,
+    0xcaf9fc71, 0x4b1b2e57, 0x1a08c205, 0x125c8a0d, 0xdffdfd0b, 0xd535e99e, 0xc91a9e77, 0xbf63eaff,
+    0xee1461da, 0xbd667f9d, 0x6dcac24f, 0x6e3b0496, 0x4c987a7c, 0x05b6e9b6, 0xc2434f14, 0x310ff39a,
+    0xf4e45708, 0x48b273c3, 0x258c0c81, 0x77f9843e, 0x8743bb65, 0x5c3b7875, 0x53aa891c, 0xdbced60e,
+    0x7218e4f7, 0x0c43115f, 0x1c261448, 0xe844ee20, 0x58edc7c0, 0xe245f0b0, 0x06393bb0, 0xca500e51,
+    0x6b962015, 0x2156147d, 0x6e80720b, 0x2748b92c, 0x9eb3773f, 0xcc9f9293, 0xb2715a67, 0xd4b8f7e3,
+    0xd361eebe, 0xaf2b75b7, 0x3f572aa9, 0xfb25e75b, 0x97d2d9d9, 0x9bc4d118, 0x5f29ab4a, 0x83910664,
+    0xa75bdcce, 0x3f101c09, 0x089a7568, 0xb0ceff1c, 0x438d1432, 0x657ec9d1, 0x7d464e89, 0xfb031cbe,
+    0xf164cda6, 0xd79b61fb, 0x32e4ab8f, 0xaa8543bb, 0xb484b2cf, 0x4bedb937, 0x17e8532d, 0x6a1bc11a,
+    0x6b949906, 0x730077b6, 0x460e2549, 0xfa526faa, 0x1b979149, 0x3b3188d3, 0xd2fe55b9, 0x3b4c0b57,
+    0x25f77dcf, 0xb3c65e70, 0x5574f7ed, 0xd6c1475e, 0xc89d9f1b, 0x526b8213, 0x9867eea6, 0xad3796cc,
+    0xb72ca42f, 0x3906f1b0, 0x25921e9d, 0x51c4a077, 0x163545e5, 0x7da3fa2a, 0x129a03ba, 0x7fab5ce9,
+    0x81a1e20f, 0xb03e1946, 0xaf20c51c, 0x62b30924, 0x4abb155c, 0x1d0577ed, 0x9027f8bc, 0x0d6b2ec6,
+    0x78597e1f, 0x20ee2663, 0xb878f5ef, 0xe540ab93, 0x39b89fa5, 0x176158e2, 0xefe29f98, 0x45eb27ff,
+    0xac808bad, 0x14367d92, 0x1e2394cb, 0x726b085b, 0xd9a194bb, 0x85348034, 0x088a04df, 0xa84fe86b,
+    0x551de07d, 0x14d652be, 0xa909625a, 0x050f6c29, 0x1603506f, 0xea84105a, 0x7072e813, 0xc06554ae,
+    0xd40d3dfa, 0x935ed0d1, 0xd62c7381, 0x021aa595, 0x4aeb3ce5, 0x74be22a7, 0x8dfbfa78, 0x379ac95f,
+    0x517988c8, 0xebbcb036, 0xa8027995, 0x459fed7f, 0x7237d813, 0x649a16a0, 0xee8a239a, 0x4413bdf2,
+    0x57d2fdeb, 0xa797c1ea, 0xfa452752, 0x0eb08469, 0xe6e4736a, 0x7ddcb8e4, 0xda06dda4, 0x6cc399d5,
+    0xb82623cc, 0x877546b1, 0x5239a322, 0xeceb3034, 0x0869d817, 0x77065c01, 0xd9addabc, 0x8e0bebaf,
+    0x7bb4590b, 0x45a3402f, 0x2e55aa57, 0xe47e3085, 0x2acc51b0, 0xa58ddf00, 0x21936d4a, 0x6072ae15,
+    0x578ee715, 0xa1dfcc7d, 0x3ac4bada, 0x2272073b, 0x5857e60e, 0xb4955e2c, 0x749f19b6, 0x99432a29,
+    0x0fdf6baf, 0x020459a7, 0x34c27307, 0x850cf99f, 0x387ca2ae, 0x90e9b3ca, 0x876df320, 0x18c0eb23,
+    0x507e6853, 0x50e0daee, 0xa490bd96, 0xb7dfb699, 0x18cbfce6, 0x511bf0c0, 0xa0470de0, 0x1fc6117e,
+    0x45cde43c, 0x3c4d28fc, 0xf6b38ac0, 0x7522b14b, 0xeed48ef7, 0x0fcce057, 0x957290cd, 0x8d627562,
+    0x93cf1783, 0xfd449cf9, 0x2266aa4b, 0x6d2b9e5f, 0x68ca74c9, 0xdde08def, 0x0e5a62a4, 0xe7c72c1d,
+    0xd3608ae6, 0xa35e1f5d, 0x91f53f9e, 0xe95360c6, 0x1ec76887, 0xa8c0ef06, 0x96e165c0, 0x9d6564b9,
+    0x59f32396, 0xa4b2f65b, 0x21c25c31, 0x3ba846a9, 0x1b256398, 0x5b8c0f9e, 0x0eeab3eb, 0xbd8ecc8a,
+    0xdcb26760, 0x23778f81, 0xa058aa4b, 0x46e23be5, 0x08252e76, 0x29909af0, 0xdb9894e0, 0x233a5d98,
+    0xffe72ff2, 0x86acdac9, 0x4852d298, 0xc67b3a96, 0x9f926030, 0x143ed640, 0xc191f697, 0xf44ff6ef,
+    0x4a3970fc, 0xa90edd2a, 0xedaf6a27, 0x4dadbf9e, 0x884d15a2, 0xe2fb27b0, 0xfe0786e6, 0x142cdbb5,
+    0x61b3f922, 0x8b842808, 0x0c3c2fa1, 0x497cb38a, 0xe39d8c70, 0x952fba9e, 0x03d5b54c, 0x8af55896,
+    0x3fb14021, 0x08cf2aaf, 0x83f22d8a, 0x0ed0aa56, 0xd69385b9, 0x97963e08, 0xb28fefb3, 0xb6736d4f,
+    0x34394f38, 0xa090d2d3, 0x3e7a8c15, 0x07b266aa, 0x7b012617, 0x49460fe8, 0x4fa45f36, 0xe43d16ce,
+    0x15911870, 0x1524e6d1, 0x86bc5030, 0xdacd6448, 0xe1d26f3c, 0x17b75daf, 0xff0ea077, 0x77bd69a2,
+    0x7dbfbbe1, 0xc51b0219, 0x9a750ad7, 0x1aa0cab6, 0x8c7a61e6, 0x1efd9d78, 0x4af52b30, 0x47c79b28,
+    0x7788db97, 0x51627349, 0xd79b95f3, 0xc0c3572d, 0xbf5dcb7d, 0xf06c8e6c, 0xe6c84da4, 0xbbd456fa,
+    0x949f30c1, 0xb8d51f7a, 0x92082a16, 0x4692c78e, 0xe317fce9, 0x0f99facf, 0xeed99a84, 0xf6b83244,
+    0x3f28f891, 0x3edb6040, 0xc0ff1237, 0x54c804ba, 0xec908ce8, 0x64812ad8, 0xb1e4266f, 0xadbb7e18,
+    0x9d3b928a, 0xcfe310ab, 0x09f711b2, 0xba004eed, 0x8d5a4da4, 0x32e24619, 0x33a56efd, 0xf911a33c,
+    0x6280854c, 0xb600d372, 0x38e3559c, 0x7c2d5b38, 0x13f57047, 0xba35bba7, 0x1a724ed2, 0xc81fc8f7,
+    0xe764ebc9, 0x582fdc9c, 0x26da600e, 0x92c20588, 0xeefd19c2, 0x7ef0ab8b, 0x90837c9b, 0x7628f4ff,
+    0x66ea775f, 0x902105e7, 0x51020a1c, 0xf6a5a332, 0x12563cf4, 0xc70e71b2, 0xdb8cfc61, 0xd0941230,
+    0x770cf9f8, 0xe33078a4, 0x6a4137ad, 0x0a39c627, 0xf5538672, 0xc477565a, 0x6138b13f, 0xa4fdc074,
+    0x9978369a, 0x56a048a5, 0x541803b8, 0xb7060452, 0xbaf54af0, 0xa2cb0d65, 0xb2668e24, 0x709632bc,
+    0x51f8e652, 0xea054292, 0xd55000cf, 0x2bad6a83, 0x805063ca, 0xd08e95b8, 0x8d2fdcbe, 0x76398ce9,
+    0x9907398f, 0x104ec3e6, 0x070f5950, 0xd3617f24, 0xb39a9da6, 0x07241fbc, 0x4528c0da, 0xcf836660,
+    0x2f423a5f, 0x47f6d565, 0x6c631968, 0xadf22e02, 0x5ff1dda9, 0x9e541ae5, 0x3ae65856, 0xa20287f2,
+    0x00000000,
+    0xd7810b10, 0xc3d317cc, 0x4a9bfbe8, 0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6,
+    0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000002546294970418\
+                          10760783555711051172270131433549208242031329517556169297662470417088272924672 */
+  { 0x00000000,
+    0x6c9f75ca, 0xd55c4a61, 0xc602b2a7, 0x0dd661ee, 0x9effc097, 0x41120f8f, 0x5e1be915, 0x4f62afd4,
+    0x62d683e1, 0xd9457e70, 0xf1e762c7, 0x04d52a0b, 0xed2c98b6, 0xa8e11afd, 0xeb6b7836, 0x64d819f1,
+    0xa2e7eb23, 0xec6a0319, 0xbeca3a93, 0xf084daaf, 0x3d863dde, 0x9f22bb3e, 0x9ec634da, 0xa5e9aaf8,
+    0xabad1f05, 0x1063696e, 0xfa03247e, 0x48b2b1dd, 0xbff70ded, 0xf113f7b3, 0xa23a04e5, 0xee18f005,
+    0x37ed2a59, 0x2f5ae6e7, 0x854cf9df, 0x5f839409, 0xa2ed6d5b, 0x91dcecc0, 0x94aedb9e, 0x90d3bafc,
+    0x58e0ec56, 0x5aa30dc8, 0x6dea0c07, 0x3635a451, 0xcd07ec94, 0x53115e7c, 0x90ac5f74, 0x7e5b4cf8,
+    0x538e95c0, 0x93f5fc33, 0x81e9cfbf, 0xa1cc5989, 0x98350280, 0xad011fdf, 0xfea5fc09, 0xcf9cdad9,
+    0x37c48152, 0x26274360, 0x102d2a59, 0x4ed8d2e2, 0x960ef061, 0x65c7a1ca, 0xb791f3fd, 0x468fdd51,
+    0x3b8d0fba, 0x7fb8423b, 0x60ce0aa0, 0x93fb1f27, 0x88475992, 0x606e45c6, 0xe3ea37a0, 0x8814f9bd,
+    0x78a85a34, 0x349a93a3, 0xa19b0928, 0x9bd95ffb, 0x1ade8a81, 0x6ebed067, 0x185b93de, 0x262b5308,
+    0x8079bfe1, 0x81bd8859, 0x4889df0b, 0xf759375c, 0xfc918b07, 0xdeb17b93, 0x6b6a000d, 0x582fc5b1,
+    0x716e51ed, 0x8528fb18, 0x0cbe8948, 0x584109f9, 0xfce675fe, 0xbbb0e58f, 0xa2cfc04a, 0xba0160cc,
+    0xa7c45daf, 0x0387538a, 0xaf7a52de, 0x27c82a93, 0x628b72a0, 0x830f2269, 0x166a494c, 0x6de92731,
+    0xc1bea2ab, 0xe23d8638, 0x1a6ed95a, 0xa8504bf0, 0x6bec0846, 0x333260d3, 0x9e7da961, 0xcc02f560,
+    0x825eac9a, 0xe9b47174, 0x5b8ef741, 0xbc4448d9, 0x07f6f465, 0x8d413e8a, 0xf0a43d77, 0x827e42d5,
+    0x1b68e881, 0xf92aeffb, 0x14dc8948, 0xe334fb59, 0x17f18977, 0x4b5e2b32, 0x8f7eddb4, 0x60d405d8,
+    0xc0a16cef, 0x17758161, 0xd0fc72e9, 0xb87c2b0c, 0x347fef0b, 0x5f079ffb, 0xf174b682, 0x88ec5df9,
+    0x3074579a, 0x7e6560a0, 0x0450824b, 0x9af7c9f9, 0x3a39f694, 0x8305515e, 0xb9ecf264, 0x997b290a,
+    0x15df9020, 0xd5baa53e, 0xee314796, 0xe7a3a58e, 0x07b60463, 0x511b2fe6, 0x85e5ea36, 0xd2914762,
+    0xe7975906, 0xd1f13651, 0x1ba28b1e, 0x2fbe1ea0, 0x483c3f57, 0xd1cb5846, 0x2f3d0953, 0xfde6e39c,
+    0xf9553f50, 0x33ab0b39, 0x02efc07e, 0x896a03cd, 0x67f7984c, 0x8471dbd9, 0xd1bb6e6e, 0x6740e013,
+    0x6ab346dc, 0xa1b725ae, 0xf586112f, 0xf2b7a729, 0x561816cf, 0xf58cf9f2, 0xf6fe8258, 0x4edf0be3,
+    0x0bcd3577, 0xfba3a538, 0xe57bc15f, 0xb07995d3, 0x06deea40, 0xf0d39082, 0xfe12a628, 0x8fb15f71,
+    0xd45a3e40, 0x15b2f3bf, 0x45ec0514, 0x311eda26, 0x6630b7ed, 0x16cc08d1, 0x3db17322, 0xa8bf6c02,
+    0x747d9dcb, 0xbdf4387b, 0x42fdf65b, 0xf6f96fa8, 0x7edd6e9c, 0xc1cf7d91, 0x5c0dbf73, 0x4d93494b,
+    0x7b16d5da, 0x106b1a3e, 0xf97ad87a, 0x9d12c182, 0x5fc02092, 0x14dc379a, 0x54c47629, 0xb2746f0a,
+    0x4ae7da09, 0xfe61006d, 0xef886a07, 0x7b84b27f, 0x5c3e0b0f, 0xb7a90dd6, 0x4f42a46a, 0x937a8f81,
+    0x4556da8b, 0x4d0a78dc, 0x5a75d3aa, 0xdc6eeb7a, 0x55d0561b, 0x3ba68f85, 0x68ddf56d, 0x5e548b55,
+    0x96a7c9c9, 0x8db7c00f, 0x5ba28371, 0xdae88786, 0x2ba36763, 0xa35e80d7, 0xe3b97aea, 0xc532f9d3,
+    0xc17acabc, 0x82a4dad3, 0x860933ec, 0x090d6d58, 0xd457bc2c, 0x4acd8984, 0x8c268f4c, 0xc63b1395,
+    0x57d0e707, 0x8ebd2bbf, 0xf77e5ae8, 0xb96fed81, 0xcb0b745b, 0xe2f04ad2, 0x600fa0d4, 0x85fcd98b,
+    0x2059a9a2, 0x51332ab5, 0x7118a7c1, 0x617dc237, 0x4e153a4e, 0x7e71e236, 0xd75d9c1d, 0xa576c275,
+    0x5ec6269d, 0xef9cb259, 0xc1979cac, 0xf3385749, 0xa6c59416, 0x4bc26cf6, 0xd137a308, 0xf35803da,
+    0x9185e077, 0xd5281c95, 0xa5b198c0, 0x79e97fdb, 0xe5369429, 0x7b3a9d0c, 0x3fb16c83, 0xe2de5258,
+    0xa38e791c, 0x074e5800, 0x47eb3507, 0x44d1dd47, 0xd003dfca, 0x8d6a1666, 0xc13c0634, 0x9133234c,
+    0x830801b5, 0x2f41572f, 0xcb147678, 0x572652c6, 0x86dd68b6, 0x7fb23763, 0x0a50de54, 0x552e9668,
+    0x92d6eeaa, 0xdab51f65, 0x930c10ab, 0xdcb82d5b, 0x3f38f625, 0xef98a918, 0x4891dbbd, 0xdfc8d388,
+    0xc9b2389f, 0x2b2e7683, 0xb9ba8a1f, 0x5de19fab, 0x7e9e0ece, 0xae74b50f, 0xd158faf0, 0x06418fde,
+    0x0b2333ff, 0x421e496e, 0x2a9e9789, 0x47c275bb, 0xab5bece8, 0xa6c2f673, 0xb9a39959, 0xc7251850,
+    0x34e0f00f, 0xd8773229, 0xd07ea960, 0x8cae8d2d, 0x5d5cd799, 0x421b4c76, 0x8d0b8c91, 0xa1cd15c9,
+    0xe766bc89, 0x7e4fbba4, 0xc556baa5, 0x1bc415dd, 0xcf27969b, 0x3c03fa65, 0x9c80c4bc, 0xcb8993ae,
+    0xdcb54a3a, 0x067c7146, 0xc3a4d0d0, 0x947af553, 0xf543c8ae, 0x7811c2e8, 0x20ae5392, 0x80e425ff,
+    0x8ae604bb, 0xbc7849db, 0xc10973d3, 0xfb3c953d, 0xbe50263c, 0x23e9dbdc, 0x2ed3e0c1, 0x68f9f0de,
+    0x82d85ae4, 0x79bc9ab1, 0xe659e156, 0x06c1b52f, 0x30f67278, 0xa182629c, 0x10351e1d, 0xe190f4ab,
+    0x7299da17, 0x7475f75b, 0x0f5e36e0, 0xc89c8871, 0xdb995585, 0x2a60e4d6, 0xe11feeba, 0xc07575d3,
+    0xca907eeb, 0xb7d10ee6, 0x2ae0d460, 0x4ce00001, 0xfd4701b1, 0x20b9a88a, 0xe0ec3fd9, 0xce362861,
+    0xd9ad2401, 0x593ac82f, 0x6186914c, 0x2c20c1a6, 0xed6d0c97, 0x36422bf9, 0x011aeae0, 0xa9f6b32e,
+    0x5f370a8b, 0xec7b70d8, 0xeeb4afd0, 0x18e732f0, 0x395e251b, 0xe78ff575, 0x6b5b69db, 0x266441f7,
+    0x08aec034, 0x52e241b9, 0x4fdb1b14, 0x5b85db8c, 0x8a38e4d7, 0xefb0a8bd, 0xb9dfd46b, 0xe22038fc,
+    0x8954cee6, 0x6a74c794, 0xca030851, 0xf6083ffb, 0x60782e2d, 0x1776421e, 0xb184c7d6, 0x47f419a3,
+    0x34117940, 0x61fe0ebb, 0x7b43802b, 0xffd78f4e, 0xb8454284, 0x2f43a995, 0xd6471fce, 0x2f97bb21,
+    0xc2b4caad, 0xd0d1c2b1, 0x429681b7, 0xb5b33ef0, 0xa2650d47, 0xfbbfeb0f, 0x18fe0956, 0x26871fcc,
+    0x3a3139be, 0x25244f49, 0x94e2db15, 0xe3a09ada, 0x1dd3e5d4, 0x8cef37d5, 0xaa8022c0, 0xcc52fc12,
+    0x312f0bc2, 0x9864e939, 0xab72bf69, 0x6ef9aa28, 0xd8389f6a, 0x4bb577f5, 0xbc759033, 0x2c14e274,
+    0x43af799c, 0x8dd2a157, 0x9f4f9222, 0x2d8324d3, 0xa9a9373f, 0x6ca47c99, 0xf29d8189, 0xa96e1078,
+    0xaeac3ea2, 0xf66935ab, 0x2d543a6b, 0x289576ae, 0xb220960b, 0x342ce932, 0x0dea68fd, 0x0fa255de,
+    0x4dd3314f, 0xc9f4ef19, 0xba580d75, 0x8ec085c3, 0xc52895d7, 0xd9b75eae, 0x311fdc68, 0x9808be90,
+    0xb29069bd, 0xb07eb265, 0xa887afca, 0x7748abd6, 0x9b605326, 0x032e82a0, 0xb29459ac, 0x12a39d23,
+    0x72ffc84e, 0xd6ed0249, 0x5823a6e7, 0x102882cd, 0xe18f43da, 0x40f5450a, 0x7dc3934f, 0x10bd3e88,
+    0xc99eacd5, 0xcec8960d, 0x70c4c74e, 0x192e5546, 0xdbfb9e3b, 0xad968a72, 0x3f4e44c9, 0x5bce7c2d,
+    0x0f19ad70, 0x45754e9f, 0xb08843be, 0x8f23ac34, 0x07bc702f, 0x00be3d84, 0xac72e698, 0xe7cd2899,
+    0x1a3b1d19, 0xff383455, 0xc9683bef, 0x2552bb6e, 0x92f3fb24, 0xdc7b52e3, 0x632a76ce, 0xaf74af7a,
+    0x7416af6a, 0x24995aff, 0x6c70a84b, 0xe58e9534, 0x20da9196, 0xb7f80916, 0x7709ba56, 0xf7d60700,
+    0x14227bc7, 0x8ff29cd5, 0x883fe911, 0x7305d0b6, 0xf5be2d78, 0x19805989, 0xccc0632a, 0xdd41da9a,
+    0x5a06b3c8, 0xb95062c3, 0xc4afeb84, 0x665eca69, 0x3835cce1, 0x1f844de8, 0x0a3c4713, 0x82afdfb6,
+    0x8fe3d6a5, 0xe39e5011, 0xaa5c77db, 0x31945055, 0xbee886fd, 0xa156a872, 0xece90101, 0x21c62dd5,
+    0xeb57f4d7, 0xdc6cf239, 0x0d7aa1ab, 0xc7267255, 0x546a26e4, 0x439f4fbe, 0x1bff3465, 0x80358bf6,
+    0x4d518dea, 0x00b1cbfe, 0x9cb4090e, 0xd3c6e26d, 0x436f3dc1, 0x6ab238a0, 0x31035e06, 0x184c233a,
+    0xa2b2e0c6, 0x998c5b69, 0x53438318, 0xfa20684a, 0x717ca34b, 0xc9a3883e, 0x7e8c2de1, 0x0e7456e5,
+    0x4a270c3d, 0x4ed4d1b7, 0x889c45a8, 0x7f51d26a, 0xf84f9d1f, 0xeeda3a71, 0x9ea0e679, 0x035f2fc5,
+    0x373c5369, 0xffa551c3, 0x5c275f83, 0x999225da, 0x1af99278, 0xcb21d745, 0xd709a838, 0x6d86df63,
+    0x4d274744, 0x4e2739b2, 0x9213450b, 0x83cc0023, 0xb1e8a241, 0x3e7c075f, 0xa60da0b3, 0xca453061,
+    0x00a845c9, 0x92399e06, 0x9562afd9, 0xafddb1cf, 0x84f5e4b5, 0x204b8d47, 0xbd5ab24a, 0x3253bd8e,
+    0x6037f3c7, 0x16dc7e74, 0x6f3ed3c1, 0x09dfe1bd, 0xbc165751, 0x2a7e4dfd, 0xb4859427, 0xf59ff779,
+    0x025fe4d0, 0x7f49fdab, 0x0c77d1b8, 0x8d14d1ab, 0x15df72b8, 0xf579acbe, 0xb52f4e45, 0x65c775e1,
+    0x3639c1f0, 0xb71add63, 0x1e3a0300, 0xf728666c, 0x62e10cf9, 0xae89a3df, 0x28a30900, 0x4b118ef6,
+    0x5168760a, 0x40a71e8e, 0x9c83c35d, 0x0339944a, 0xb6931cb0, 0x0d49c88f, 0x3212f3b4, 0x9af051a9,
+    0xe9f35bcc, 0x9c0534b1, 0xaebd66d5, 0x9e718a18, 0x16951eb8, 0x0bafe158, 0x32213109, 0xd82ef60a,
+    0x7ac26254, 0xca99be7b, 0xea9369e3, 0xab2374d1, 0x156755e1, 0xbc6fb0cb, 0xf56ca236, 0xf1d77e41,
+    0x993519ad, 0x8288c7c2, 0x7b41a2d7, 0xeefa6cb1, 0x758d1c71, 0xfe29fb34, 0x8207abbe, 0x601b44a5,
+    0x7069800a, 0x73a2812b, 0x53e8840e, 0x1e7dfda4, 0x249300fa, 0xc992a87d, 0x5eb32f21, 0x4c04bf83,
+    0xe60e54c3, 0xe40c587c, 0xb056b405, 0xe1a2dbf4, 0x942d1298, 0x4d48007f, 0xb5b81d0a, 0xef2f2a6f,
+    0xf8caa7fe, 0x007b4cb5, 0x717c4051, 0xdebbeec6, 0xc0eae9fa, 0x961cedfd, 0xc3375a6b, 0xc8269c04,
+    0xf67c45a1, 0x4b0385ea, 0xcde33ba7, 0x1fb65ba6, 0xfcd6b8c5, 0x3705d1cd, 0x1ba5a332, 0x37cfd5b0,
+    0xc3c06889, 0xf392cd77, 0xe38647fb, 0x211d2dba, 0x719d39a3, 0xdee8992e, 0x21c23328, 0x8226199b,
+    0x8fa249e3, 0x2cebcefb, 0xbb68fef7, 0xff1f242e, 0xc12dac1e, 0xa619f425, 0x76e78bf4, 0xfba994f1,
+    0x186d0787, 0x651aa259, 0x420f8240, 0x74036a31, 0x738fa441, 0xb4a005db, 0x93d1b790, 0xf2e171c6,
+    0xb8a77544, 0xbefa285d, 0xcff5e5f2, 0x5226d2ee, 0x2f98ff75, 0xb118da3c, 0xca7eb03b, 0x7d0f0215,
+    0x4d8167ef, 0x657f548b, 0xdffc4acd, 0xffac003d, 0x6d494e5c, 0xe4c4b98b, 0x49af7be3, 0xb6872456,
+    0x2a9d0b1e, 0x452cb565, 0xbe7f2da3, 0x76a2ae93, 0xfcc4037e, 0x3ceeeb51, 0xa26b1166, 0x1297f68c,
+    0x0ac3fb89, 0xfea477c8, 0xe2f225e9, 0xd5723a50, 0xd78c79d4, 0x0719ccd7, 0x6146d8ff, 0x16f3ddf9,
+    0x1e926af0, 0xad5e6f64, 0x34c6afd0, 0xec4fdda2, 0x972844db, 0x856935fe, 0x6728d10a, 0x08bba152,
+    0x2f52ed5e, 0x1bab48eb, 0x66e332ab, 0xf27e4bd1, 0xea03325d, 0xcd2729eb, 0xf1fe4131, 0xf206a877,
+    0x2cc9985b, 0xd12d00bd, 0xed6240a7, 0xb994eef3, 0x5f91cc89, 0xeeb45a7a, 0x336061de, 0xbc373e0b,
+    0x9407df50, 0x99f89732, 0xd8b5c6f8, 0xfe5d8ba4, 0x95a1f92d, 0x27c1f9cd, 0xf6691111, 0x92ccab92,
+    0xe533553d, 0x7b9aa4a9, 0xa3485efa, 0x15ea494c, 0x9b612660, 0xd9510987, 0xe84364d4, 0xc4d8f008,
+    0x27d44b20, 0x6cb7ace8, 0xa6ac1b3a, 0xb98501c6, 0x3a3778d1, 0xa0481330, 0x561f41d2, 0x4013013b,
+    0x2f441385, 0x0440531b, 0x7765cafa, 0x5e8fa58e, 0x13156a44, 0xe9ec4d72, 0x719aa38f, 0xa47f4ab9,
+    0xa818f7d0, 0x8101bab3, 0x45efda2d, 0x118d1e3b, 0xc38946d6, 0x55269d8b, 0xeeaf8cf6, 0xc2560f07,
+    0xfb601d0d, 0x53d09d41, 0xbf1fc09b, 0x32ffe111, 0xa8c38174, 0x2624513b, 0x03ffe987, 0x1646398f,
+    0xb02796c1, 0x6e9ebd7a, 0xc5e6e26f, 0x28b7cb49, 0x69b72683, 0xfb43f2a0, 0x4a64c161, 0xc471eefc,
+    0xa4401ab8, 0x9871c52b, 0x1fbbd055, 0x14fd1381, 0xebc141e9, 0xb6d7a5e7, 0x73faecbb, 0xccdb1f45,
+    0x30cc29e9, 0x332868fc, 0x6764f4c2, 0x64e975ea, 0x0c77d98c, 0xd7eac80e, 0x483c6b9d, 0xe708d8b7,
+    0x191e5a89, 0x5d3da673, 0x8a372499, 0xf32167ba, 0x73168f3d, 0x98151832, 0xcb5d42a3, 0x61539df7,
+    0x6637ee76, 0x85dc2554, 0xdb619461, 0x20fb9948, 0x3fc9dce9, 0x304abdd6, 0x8c5fbdee, 0x12a54d49,
+    0xa37d05ed, 0xa477bb72, 0x8c7a9ce6, 0x64637010, 0xddadda5e, 0xeed9b2d7, 0x93116fed, 0xe31f9d40,
+    0x8f7d6c2b, 0x85540068, 0x1ad5f999, 0x7e50b8f1, 0x2e9065ea, 0x7bc7ec33, 0x881e0804, 0x8f2db87f,
+    0xec8fc875, 0xed5b1088, 0x34406808, 0xb7493b9c, 0x93fec43c, 0x7c02a9d4, 0x7623ed84, 0x8d746bb9,
+    0xc4b62d3c, 0x29f81388, 0xce0183c1, 0x5f00bf65, 0xe75636ee, 0x1229451f, 0x9565aca0, 0x66090242,
+    0x6a7c6b29, 0x757f1175, 0x084ac818, 0xa3342210, 0xb1028a08, 0x19d60860, 0x8318af14, 0x249926e6,
+    0x1be319b2, 0x5a0e51b1, 0xc02abd32, 0x432ef4ce, 0x07aa83be, 0xa7a96155, 0x0aec6845, 0x28230af5,
+    0x11123523, 0x11d16f6c, 0xea3efb59, 0xcea3c14e, 0x68e660ce, 0x5467172a, 0x7b5a70f3, 0x2a00bb26,
+    0xc6b2818a, 0x89355860, 0xc4c67f12, 0xd4928ede, 0x101f2757, 0xa79ea052, 0x503dbd8e, 0x133dc3a8,
+    0xbd2ef1e0, 0x3fdb5d64, 0x498aa094, 0x00669828, 0xee32ea35, 0x8cf9a38f, 0xca48ef61, 0x4b3d6918,
+    0x52712784, 0xda07fb92, 0x3f55b998, 0x5c3d2deb, 0xb5b46498, 0xd87ff83f, 0x00d74b6e, 0x671e0fcf,
+    0x01d51ac2, 0x67372084, 0x6c52f6a6, 0xbb9e499b, 0x1797d823, 0x733e70f9, 0x11913aa5, 0xd4d0831a,
+    0xc87d0f83, 0xcb140112, 0x4b83e527, 0x62d313b5, 0x792e214f, 0x550e4357, 0x5410488a, 0x51bcde97,
+    0x5711a4e3, 0xea6e6943, 0x6daa26c6, 0xc8c9a9d4, 0xb47f4646, 0x9dd76ae1, 0x8c5f5f56, 0xb15f1bee,
+    0x82300f2a, 0xec43babe, 0x06ad1465, 0x812c4662, 0x4f5dea3b, 0x14c5b541, 0x0adabb0a, 0x30b3e956,
+    0xeedc8710, 0x6273c352, 0xe4bd4d06, 0x16fdc351, 0x17804415, 0xfc4f74ee, 0x068fb6e7, 0x39218298,
+    0x83622eee, 0x84466b41, 0x49da8cdb, 0xe7931ddc, 0xf60c6513, 0x468b82f7, 0x852223ae, 0x77037d13,
+    0x85d4ffe9, 0xf401f111, 0xe6a70b9d, 0xca7546de, 0x8fc6d588, 0x49d9a468, 0x6766e0ee, 0xdf586323,
+    0xe2cc2362, 0x857a9f48, 0xff8a2ba7, 0xfcf6b468, 0x27ba3251, 0xa6c0f9a4, 0xf33caddb, 0xea0f34c8,
+    0xff2747dc, 0x1397cdf6, 0x8149e69e, 0x20b8da84, 0x2dcd6ddc, 0xce4f0e60, 0xc63181a5, 0x475e14dc,
+    0x42976db3, 0xd9374307, 0x5c6804ea, 0xda2bac37, 0x32023317, 0xbb317482, 0x12b7745e, 0x8ce22edb,
+    0x56c88866, 0xb66f8d68, 0x23d3eef4, 0xa1f7d53f, 0xa8c5bd17, 0x3c732947, 0x5d6e722c, 0xcba728db,
+    0x00000000,
+    0x6bc08587, 0x61e98be6, 0x254dfdf4, 0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db,
+    0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000001273147485209\
+                          05380391777855525586135065716774604121015664758778084648831235208544136462336 */
+  { 0x00000000,
+    0x280e174b, 0x92971daa, 0xf2035151, 0x579c8f67, 0xdf59489c, 0x326c0a05, 0xdcb5be3c, 0x7b75fdaa,
+    0x0507eac2, 0x63cbecfb, 0xe01878a9, 0x4dffb693, 0x6c116250, 0x0fd16046, 0xe59e77d8, 0xd97ecb87,
+    0x88596382, 0x2f90b548, 0x6661e7d9, 0x33143a43, 0x5144d29d, 0xba719c73, 0x692b8a95, 0xc589618f,
+    0x4e35304b, 0x7fdb15dd, 0x41659d2d, 0xc2c9d759, 0x7880a2a5, 0x30912817, 0x763348f4, 0x17d13ca3,
+    0x3d826f18, 0x9b83c5bf, 0x7ea3cd3e, 0x2861fcd7, 0x59ebc056, 0xbf5d3438, 0x67efb5ba, 0x628e40ee,
+    0xda85c514, 0xe378a476, 0x1ed93c8a, 0x0032ff8b, 0x29c01650, 0x0f703641, 0x3b472fe4, 0x2c752683,
+    0x16af4b77, 0xe79da68e, 0xa1ed9f0f, 0xee40ff30, 0xdef56ae9, 0x50bb1d13, 0x4188eae4, 0x1c8aabaa,
+    0xa4b7887f, 0xc744bd0b, 0x1c464c38, 0x6c6fe693, 0x5814b7e3, 0xad74a212, 0x7efd2771, 0x307ded7f,
+    0x085fa2bd, 0xfb55ac77, 0x08f17ca2, 0xebf5cb59, 0x1d2122ef, 0x870f94f3, 0xa846628b, 0xce448aa4,
+    0x35231528, 0x67374354, 0x900ba586, 0xf89ec06f, 0x151f2c97, 0x49469783, 0x28911d6a, 0x25cd2f9e,
+    0x88f9b182, 0xd5bd5015, 0x4e6c6a45, 0x2b4fb2fd, 0x40990a73, 0x8e682cfa, 0x00fe49df, 0xfe17447f,
+    0x041a8481, 0x56573fda, 0x9e102be7, 0x61bd05a6, 0x5d6abf93, 0x2798ff12, 0x43f22624, 0x22f7ce04,
+    0x67931bae, 0xfe9d836d, 0xad84ec6f, 0xc56f9952, 0x05849972, 0xc9488938, 0x4939fa81, 0xd1e56ce8,
+    0xd00d07b0, 0xf2e9664b, 0x614b8656, 0x6af87720, 0xbb8b98f1, 0x2f1f836e, 0x6dd142bc, 0x7f0d7781,
+    0x1579f981, 0x27e4861e, 0xb78acbc6, 0x7f92a763, 0x0798cb2a, 0xa1d2056c, 0xc5458269, 0x1512f53d,
+    0x4f417b25, 0x3a946564, 0x385df99d, 0x9e2bede2, 0xa5b11e47, 0x33a98643, 0xb15095ea, 0x336f98c8,
+    0x60b9cff1, 0x8f572150, 0xe5d735d5, 0x28ea95be, 0xe11a4d4a, 0xe75f9896, 0xa9804989, 0x7284e039,
+    0xe92a551f, 0xb806f9a9, 0x6c3295d8, 0xa1ecb58a, 0xd02629e5, 0x1bd7875f, 0xa743f1b9, 0x7ccf2f60,
+    0x7e8e9aaa, 0xe386ee73, 0xb72ce95d, 0x5f686002, 0x5380c0f6, 0x8cfc4ae3, 0x66bede39, 0x0ac7f406,
+    0x300645f0, 0xf95a90cc, 0x73930efe, 0x0a1da6f6, 0x454b7b23, 0x5c1bfff4, 0xc6fe64c9, 0xbb37aa42,
+    0xd8dd2211, 0x0452578d, 0x87de9c11, 0x83c6c33e, 0x2749772f, 0xc1a6e9f6, 0xc8fb23df, 0xb437175e,
+    0xa13e4a19, 0x40eb8442, 0x61dd1f71, 0x09f60534, 0xf62fce62, 0x68800331, 0xa4997b0c, 0xc15b57ed,
+    0xab4573f2, 0x3e7699f9, 0x4d5eefd4, 0x1d25bee6, 0x84ce0aaa, 0x5de9bb28, 0x03eb62c0, 0xfd0b1a47,
+    0xdc9d4903, 0xd221faa9, 0x20a9b409, 0x96787b27, 0xd14bb82b, 0xebc29980, 0x1a3d5588, 0x874463e2,
+    0xa2b229f0, 0xd3988e25, 0x76dfcd9f, 0xa28826c4, 0x37516c19, 0xf78a77b4, 0x14deba31, 0x7e372087,
+    0xa3e9149e, 0x9799b8ae, 0xbac28c55, 0x73fdfe5c, 0xff85c318, 0xd12f69c5, 0xce4ef134, 0x1724cfe6,
+    0x46f43ff0, 0x8ed7596a, 0x660c6c2f, 0x5c4a83ed, 0x6698d1a8, 0x144b1d35, 0xedc5ec29, 0xeb30886a,
+    0x2b883ef7, 0x7df9ea57, 0x32ecf137, 0x7f5f8142, 0x4bfa45f4, 0x1f06f4d9, 0xb0515ddc, 0x647a4b1d,
+    0xe5214377, 0x7cfca5b9, 0x0ecdc349, 0x12eb336c, 0x80223b3b, 0xe3c26a86, 0x84efc173, 0x9d5bfcf1,
+    0x37399a14, 0x9dc6df60, 0xc6469e65, 0x7b191afd, 0xf4de9c5f, 0x8288bdc6, 0x52870cc7, 0x5859a862,
+    0x25490ccb, 0x1553216e, 0x9e8d3c56, 0xd90093f6, 0x44726644, 0x5070a5b0, 0xd6e54b10, 0x5bc584dc,
+    0xd8ae50f8, 0x83977d26, 0x7d307b88, 0xffa52a54, 0x6ffab9ac, 0xc3d1ecd4, 0xf2c569f6, 0x75be372e,
+    0xeaeda658, 0x35ea7a03, 0x830af87f, 0xdc93ea7f, 0xc927a68a, 0xffcafead, 0xc12a6bac, 0xc660f0cf,
+    0x412b22ef, 0x9d0cf87c, 0x374bec2e, 0xa2cb1e09, 0xea176066, 0x866b8a45, 0x78bcf8b5, 0xf5edf50b,
+    0xbd0b70a7, 0x139aeb26, 0x1fe01858, 0x1b9a9d14, 0x3515bc60, 0x0d2dcc71, 0x2e938a3d, 0x67feb06b,
+    0x02ac4ac8, 0x92f4b346, 0x8a3bae8d, 0x0b4eef9d, 0x970ec064, 0xa328a5f5, 0x80040eb0, 0x6744ab04,
+    0xb13172a1, 0x1e1f3674, 0x32f560b1, 0x24117792, 0x72e64084, 0xef0be4a3, 0xcd6142cf, 0x1da7c1a9,
+    0x0e2321fb, 0xfa1a46e7, 0x1793dfa6, 0x95616a52, 0xa4975ee5, 0x86043a20, 0xc82bd1f9, 0x89208b4a,
+    0x4dfcbd67, 0x4e95b010, 0x61194835, 0x3f21206f, 0x53524b77, 0x2445814a, 0x1513a445, 0xcdfcb0dd,
+    0x644fdc6d, 0xd9afa757, 0x7b68e225, 0x126167fa, 0xf3670dec, 0xe84a7852, 0x0775f46a, 0xf247da7a,
+    0x153ccba7, 0x3d57dce7, 0x3d04a417, 0xe1da47d2, 0xd3ddce0b, 0x93e47a6d, 0x2ec4897a, 0x3c9d6847,
+    0x2b2d2e91, 0x5b2d62fa, 0x64f8b237, 0xbb72df5c, 0x49a48b83, 0xd1a7c0be, 0x622e8e2c, 0x894ff6c7,
+    0xf43c141e, 0x3b16aff1, 0xade26559, 0x1040e4df, 0x84509b71, 0x9176035f, 0xe0af5bc2, 0xdf270b35,
+    0x49fbe064, 0xde6682ee, 0x79c45089, 0xebe18583, 0x027e75e1, 0xbdfb5160, 0x5e182695, 0x8b042d2d,
+    0xb4a3326e, 0xaf3930c0, 0x25be0e27, 0x8b016fb4, 0x24dd4443, 0xcb3d42a6, 0x6ac351aa, 0x1b8ae7a9,
+    0x53294217, 0x19a7a3e4, 0xc13efecb, 0x077397a9, 0x24508b79, 0x5bad42c2, 0x0bba4019, 0x8f55fda9,
+    0xff56f821, 0xf80895f2, 0xa2e82674, 0x880bbcbd, 0x7dbe9b42, 0x91f42e32, 0x1b50badc, 0xa91f8948,
+    0xccaca27a, 0x09ba930a, 0xfa261279, 0x0c736956, 0xf29571f6, 0x1ab0d99f, 0x265a410d, 0x38e1ffb9,
+    0x1cf31c94, 0x4a760772, 0x082a240f, 0x06941e28, 0x97f4ac24, 0x3f0a942b, 0xdfd92a98, 0xdabf4cd4,
+    0x6fd65704, 0x07fa70c0, 0xb4b409fc, 0x77a39132, 0x6fffb99a, 0x9061981b, 0x280f5426, 0xa871e8d7,
+    0x3b7519ca, 0x39d22a1d, 0xe9d5bc7c, 0x8dcf21eb, 0xe6857ff5, 0x3dfc27a0, 0x937e251a, 0xd232b640,
+    0xe927eae6, 0x9a1aca20, 0xd82813ad, 0xe7e35b73, 0x2b50be22, 0x3ceb15ae, 0x9614c93c, 0xf0c5ca5e,
+    0x7b45f1bb, 0x3e1f9819, 0x2f3425aa, 0x2f1878e3, 0xec5dbe4a, 0x440ba70f, 0xe3479095, 0x3cd56ebb,
+    0x1ec628b5, 0x33b3a4bd, 0x4c4e0fd0, 0xe4d9edf7, 0x0f7a07f2, 0x0d472c0e, 0xa9b11e2f, 0xb24b5185,
+    0x32695c22, 0xe4163263, 0x2f94b89f, 0x22118779, 0x76452de1, 0x42a4f5b4, 0x69f1e4a5, 0x5765833f,
+    0xc4c0048a, 0x6e9b3e47, 0xa3469360, 0x678f8091, 0x3aed0e2c, 0xb86cf176, 0xdc711938, 0xf49a7d90,
+    0x9ae2de9b, 0x79dc2ca3, 0xa2faf763, 0x9e710037, 0xcf9a99f7, 0x4f7b819c, 0x9bf0f241, 0x1ecb23c0,
+    0x3027127f, 0x36cbc436, 0x598fca86, 0x21d928b8, 0xe72c5547, 0xc9595c63, 0x270472ce, 0x86497fc8,
+    0x083eb03d, 0x46ad1ec9, 0x377eaa97, 0x759d6e0e, 0x790be96e, 0x84d222af, 0x461972b9, 0x204e8985,
+    0x2f31dde8, 0x82b1c910, 0xcde621b9, 0x7519c021, 0xcbf3f867, 0x26bb45c4, 0xf3555237, 0xa8e33798,
+    0x9b532543, 0xd3751639, 0xf50d7998, 0x15fd0020, 0x36bc8bf4, 0x982c6160, 0x8a5691d4, 0x06f37c00,
+    0xb42b3d1a, 0xc591dd0b, 0xbd1ceb5e, 0xcabfd5f0, 0x879ec2da, 0x1ba65192, 0x82d0b151, 0xdb96b694,
+    0xd60cf6f3, 0x515676c9, 0x685b2107, 0x05069c77, 0xa3ab89ca, 0x8c608b54, 0xe932ed98, 0x8d1d3c9f,
+    0x6cd39720, 0x6c6c9b0a, 0xe4650d01, 0x6afdc946, 0x53f3bdcd, 0x966f0bdc, 0x357a53db, 0xc4f5e51e,
+    0x12a47113, 0x1d981023, 0x8644869c, 0xcbbdcb8b, 0xc62b0177, 0xa285bf5a, 0x87e3e9c8, 0xfccfd425,
+    0xa6d9b6aa, 0x408c2d75, 0x4511e591, 0x4cc1b227, 0xdcfe7232, 0xf1f40e14, 0xa326fe96, 0xbb99995e,
+    0xde7d6c42, 0x1ada0cc5, 0xb7b61323, 0xf6a1a226, 0x7a189ad2, 0xddf8b262, 0xd021d442, 0x2c56da9e,
+    0x94d7b196, 0xbf088435, 0x0e83504d, 0x93d19d5a, 0x5109d0b6, 0xad67c546, 0x4d0cc5ae, 0x6d91b122,
+    0xc8ce0c37, 0x889e40e0, 0xbe590916, 0x8671b373, 0x9ca89dbf, 0xbcc24204, 0x63e47c7f, 0xc6a831a4,
+    0xd733330d, 0x2d9e8ba5, 0xab4a16cb, 0x3e337334, 0xfb55286e, 0x1d5452f1, 0x4c1cde6f, 0x282f42e9,
+    0xa51abf9f, 0x5e7a2755, 0x4d8759c3, 0xdb4c294b, 0x65c312f1, 0xa030880d, 0x00f0063e, 0x94ed924e,
+    0xaec26ca0, 0x1b1ffaaa, 0xe4c48534, 0xdad40b3d, 0xb7a6d559, 0x82add44f, 0x968ae4d5, 0x9456f8f2,
+    0x3623f8e5, 0x41d485ab, 0xaebadea3, 0x459a7e81, 0x30a1384e, 0xe55dd500, 0xa9f20b03, 0x7440dbf0,
+    0xc5af7d89, 0x4350d6dc, 0x61d45168, 0x62506058, 0x613d8d37, 0x074b1bb7, 0xc59fc92e, 0xca2208de,
+    0x615e7edf, 0x2011f22b, 0xf0e9b321, 0xfb63160b, 0xf238a79f, 0x23af0626, 0xb850d519, 0xea8ee085,
+    0xeab0b5f5, 0x696c8ffc, 0xc70b4f9e, 0x734ff687, 0xfa5bd57c, 0x2fc507fb, 0x43d75e9f, 0xfa1d372e,
+    0x3f1dfe51, 0x66d97bdf, 0x9a3c7f00, 0xb8289204, 0xb4a765f5, 0x9757d017, 0xd6d690bf, 0x4771fb6f,
+    0x5ba9e530, 0xf2c6a2b1, 0xef904311, 0xec48fd41, 0x916efa58, 0x0bdce196, 0xc62ab81c, 0x963fb32a,
+    0xaae022b6, 0x45041d5d, 0x81297b8c, 0x4869d513, 0x717a420d, 0x7998a056, 0x7a4e9590, 0xd8e62402,
+    0xce213b2f, 0x2f6552f5, 0x0b02798e, 0x24cf4cba, 0xe14a52df, 0xe983f57e, 0xcc482201, 0x0edf89ee,
+    0xf24f78fb, 0x909cfd75, 0xd67a9073, 0x86118699, 0xfc9175cb, 0xbd79e9ad, 0xc7c9acbf, 0x4d401ac9,
+    0x7d9e586c, 0x4e1e7920, 0xe0066a1c, 0x6cf3841c, 0xfb379ac1, 0x9f4442ca, 0xdd8ecd5e, 0x168aad60,
+    0xde47ca44, 0x13d46603, 0xd4bdf7e8, 0x1a7c3c99, 0x62e55ebc, 0xbc48f6c7, 0xb0d3b441, 0x4e680abe,
+    0x5d2fdb68, 0x86b03408, 0x24e9fce0, 0x6976bd96, 0x0b7cab50, 0xfda027f1, 0x30c6ccea, 0x26f8150b,
+    0x0f4b3ceb, 0xcb8d7b2b, 0x21a9107b, 0xf423eac4, 0x2ddac038, 0x7c80cc40, 0xb92126a2, 0x62f0e7de,
+    0x9f323b67, 0xe524442c, 0x08c022d1, 0xadb6230c, 0xd0c85873, 0xa2dddfb5, 0xfb32ffd5, 0x59f65ff0,
+    0x5f0215d3, 0x6ebe6e26, 0x790a2a89, 0xb8577c05, 0x7eb58a3d, 0xb0e9eeee, 0xc1dd9e4f, 0xb5cd0d86,
+    0x7b985103, 0x06a92a86, 0x2fc62449, 0xfd35c2f1, 0xa19b107a, 0xfd0028c8, 0x5a6a960f, 0x53b30ef8,
+    0x565697c1, 0x57572752, 0x576de146, 0xb2bc256f, 0x1b972aec, 0xce53c973, 0x6e4f9807, 0xb6dd6220,
+    0xe1c237bc, 0x80caa0ff, 0x6b599ae5, 0x2e23e06e, 0xf10ce09e, 0x9bd1708d, 0xc422d28c, 0x4baebead,
+    0xd4788ebb, 0xce92e5c4, 0x78b19f1b, 0x2c8158af, 0x5c0e5366, 0xea3fdaf6, 0x0578559f, 0x13e81a71,
+    0x2b5d6053, 0xaf802aae, 0x0754f289, 0xfb87f3c6, 0x7c5e2f21, 0x48f9f530, 0x7a786639, 0x876583dd,
+    0x3fc9cd4e, 0x3275caaf, 0xb8bf8062, 0x8543be61, 0x644f5c18, 0x64e32334, 0x6825f8f1, 0xebc5764d,
+    0xe20c674e, 0x0e30d7b6, 0x8ce0242f, 0x283c64aa, 0xb8e693c7, 0xe162679f, 0x42ef577c, 0xf1815d9f,
+    0x1ad2a9a4, 0x54b18316, 0xd428f9aa, 0xa637a9e1, 0x930669d1, 0xb79b8ca9, 0xa6cf710e, 0x3745f20f,
+    0xf9ab185e, 0xf41af7b3, 0x4603b4b6, 0x210c2d3e, 0x4c4af5d5, 0x1f0cd1b4, 0x2d07b8da, 0xa7674dec,
+    0x2f23f268, 0x4c9115bc, 0x6e6356c1, 0x2eece55f, 0x38be1813, 0x27d075e5, 0x3ef967a4, 0x70452215,
+    0x9446addf, 0x8b890821, 0x66220375, 0x41eee4fd, 0x012c27b5, 0x1ac35b12, 0xaedbe0d2, 0x729a5ec0,
+    0x978f4f50, 0x928ec26c, 0x67ca57f6, 0xa942f092, 0xe9b4ac88, 0x203c0433, 0x37bbba5a, 0x24ff468b,
+    0x524ff55d, 0xe8780911, 0x0e8ae42b, 0xebdbb056, 0x91f0adc0, 0xd1658803, 0x8cf8d85b, 0xb7cd278e,
+    0x8b9cc831, 0x910ef996, 0x9061dd07, 0xb4268e0e, 0x1131ac6b, 0xf05e0f9b, 0x5ea561ec, 0xd1a11b5d,
+    0xaedba02a, 0xae948641, 0xa8ac06c6, 0x3103cb7a, 0x79bb2df7, 0x1994396b, 0x857083b9, 0xa8ab0d25,
+    0x5143c02b, 0xe486b013, 0x5f42aabd, 0xb54ef54b, 0x9e0f81fa, 0x7841b71f, 0x985ce773, 0x9a1cc4da,
+    0x27ee7fdd, 0x9a7733f8, 0xc4896c2f, 0xb57f039b, 0x48726849, 0xa5bfc94c, 0xe9329a8b, 0x5c3d23b5,
+    0x6aba6d32, 0x293d8402, 0x53aebfaa, 0x0a1d0a85, 0xa84d8058, 0xc3b20db3, 0x75bf02e5, 0xa3cc61e3,
+    0xedcf1096, 0x522f06b7, 0xde454500, 0xd6a40176, 0x3c816c99, 0x5a4f902e, 0x8e53f04f, 0x78ca8a28,
+    0xf83440c2, 0x090b3c02, 0x6c3e585c, 0x6dce972f, 0x42982639, 0xd1d0c55d, 0x1c08f584, 0x439cdb5a,
+    0x3ae960fd, 0x3eaa518c, 0xaec3ed7f, 0xaa0d1f67, 0xaf9c7f18, 0x38554dfb, 0x5fa1fc7c, 0x75097535,
+    0xda81c274, 0x4d54cdaa, 0x377423fb, 0xfd5cef5e, 0x7b122579, 0x5332a3ee, 0x3604a73b, 0xc9bf9c0f,
+    0x45ef067c, 0x8078f754, 0x86e88b86, 0x871b5fc8, 0x28a96c0b, 0xfef4e1bb, 0x0cf12fab, 0x2bbb1cc0,
+    0x19ce9770, 0x4d1c62d7, 0xc5667841, 0x3e2fd2c7, 0xaab39a90, 0x9ef1dbd3, 0xf858d961, 0x64387925,
+    0x671a25eb, 0xd7c4bd75, 0x99bcc48f, 0x76437493, 0xe214f376, 0xd4a705d3, 0x5e895f2e, 0x0aeed139,
+    0x85ba425a, 0x527b08db, 0x6a547a97, 0x22e63c5f, 0xa31dbffd, 0xd8d07d4d, 0xe5f8692a, 0x6c01445a,
+    0x2cc74cdf, 0xef3d27ab, 0xbe1bd43c, 0xa6d73be4, 0x13a56b61, 0x0e0c99e5, 0xbdf3ec56, 0xb6cb0b44,
+    0x37daa7ed, 0x6b1a390f, 0xbc9dc3ef, 0xd376bea0, 0x7aa28c99, 0x1a439ac3, 0x830313d2, 0x70c54679,
+    0x9eb101c3, 0xdefaf325, 0x2f66d560, 0x94d6090f, 0xc3d17583, 0x08b9a827, 0x2b1c5b94, 0xbae07f14,
+    0x9eb89a4e, 0x1555a29c, 0x22f23dd6, 0xa4f34948, 0x4a657721, 0x582efeb1, 0x7e795b80, 0xeec43c91,
+    0x818a8f41, 0xdbb28c02, 0x8d0c9bdf, 0x68871b2e, 0xcd43420e, 0xa545a564, 0x20f31dcf, 0xd0bd672a,
+    0xaf1223d7, 0xe906c708, 0x5b065a81, 0x75728e42, 0x17a088c4, 0x32caf199, 0x8c6abb86, 0xd670ffbc,
+    0xef50f80b, 0x747612d6, 0x0d5c786a, 0x18be4f7d, 0x276da9cd, 0xe22f6f63, 0x7ab7c592, 0xfa46c287,
+    0xa662b4c0, 0x9658d058, 0x61e0d934, 0xc38e5d5b, 0xeca64013, 0xa80cfc69, 0x0896e12d, 0x427bb3cb,
+    0x23402f01, 0x687a1a5c, 0xf75284ac, 0x91e689c5, 0x67e42cbc, 0xa31e07e2, 0xb8f90f23, 0x53f293f6,
+    0x64454dca, 0xa5374fb0, 0x813ad237, 0xd5f1adf3, 0x81f6eb41, 0xd6254345, 0x3a47a27c, 0x06d50935,
+    0xd2448a68, 0xb5ae23c3, 0x571cca50, 0x9b4f52fc, 0x4ab626ea, 0x13d2ea8c, 0xa0261253, 0xd51833be,
+    0xf21b164a, 0x20a93a1a, 0x3510248f, 0xe3b539e3, 0x29500b88, 0xd4cee882, 0x1e29ac4a, 0x80e893af,
+    0x438703df, 0x9d80c2b2, 0xabe6a978, 0x2af93b38, 0x4a876b81, 0x291b3a0e, 0x7e21ac50, 0xa1745f07,
+    0x00000000,
+    0x35e042c3, 0x30f4c5f3, 0x92a6fefa, 0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d,
+    0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000636573742604\
+                          52690195888927762793067532858387302060507832379389042324415617604272068231168 */
+  { 0x00000000,
+    0x060513fa, 0x7c51b73d, 0xf3cfd5d5, 0xef53a83a, 0x5c02d7a5, 0xe52c881a, 0xe226297c, 0xa6757c4a,
+    0x97e51c7c, 0xaf39cffb, 0x8f12011b, 0xa23f9854, 0xa6e19d62, 0x1637b76b, 0x10458272, 0x1dfa98f3,
+    0x82caf53d, 0xbc332f6d, 0xeecaaed0, 0x0f90dc66, 0x629d8cdd, 0xc1f22372, 0xdad53091, 0xe5b0133c,
+    0xcbb6cc70, 0x392e6364, 0x608b2fc4, 0xd6cdf7d0, 0x66deef9b, 0x0e357169, 0x85b39e27, 0x258820b6,
+    0xe43b0af1, 0x817ae7b1, 0x8e51c17e, 0x5f234bb6, 0xbabfeeb7, 0x3999692e, 0x614126ad, 0x46bbe34c,
+    0x64b63dd1, 0xe02c26ee, 0x469082f9, 0x7eac4a7c, 0x907d552f, 0xef025035, 0xa1347216, 0xab08c888,
+    0x27d67617, 0x204074a9, 0xf9274c7e, 0xe51fc9ef, 0x38fb0ec9, 0xf2e4f4ef, 0x6997c16e, 0xd659d25e,
+    0xcba832c7, 0x7666609a, 0x825b5cc1, 0xeabbc883, 0xf8066a83, 0xc22a9704, 0xc35811db, 0x3904fad4,
+    0x9a251789, 0xd4e4a307, 0xf881b811, 0x74a3de23, 0xd87d546d, 0x10954838, 0x2c61036d, 0xf82a464e,
+    0xed411542, 0x67bd7a73, 0x80997896, 0x12c4e38d, 0xce085b1a, 0x5bc27ebd, 0x919076c4, 0x4cc22d13,
+    0x3cd8208c, 0xcc554097, 0x10b5f1d9, 0x80bb2612, 0xefae9b11, 0x12e5f5bf, 0xf2dbaba1, 0x65f3e878,
+    0xf4c5602c, 0xf56e917f, 0x79dd1d76, 0x9cd23271, 0x30a1c73e, 0x29d996e5, 0xc9062ebf, 0x8bd7ecde,
+    0xb5ce964c, 0xeec92028, 0x5e0bf181, 0xb8b0ee78, 0xa8c30cf7, 0xe6489d31, 0xcd93f110, 0xeeaf8a37,
+    0x754ba8b5, 0xd64e7626, 0x1dade037, 0x44b02c26, 0x17009146, 0xf6ad2d58, 0xf6cfb191, 0x82441a4b,
+    0x50dfad24, 0x046cfd99, 0x952e4aa8, 0x458e9ccb, 0xec839697, 0xa9005896, 0xbf9f9dcb, 0x79b0b9ea,
+    0xfd1d6015, 0x8ef118d8, 0xc5f9f86b, 0x052bac13, 0x33fb0e1d, 0x9f3b2af7, 0x4e6863ca, 0xa4c3f25a,
+    0x322987c9, 0x62ccf8be, 0x040f70c9, 0x824eb8b4, 0x07f703f8, 0x4c627cd5, 0x73b389b3, 0x60ba4de6,
+    0x638767c4, 0x79419c32, 0x3f1030a4, 0x425ed6c1, 0x527554cd, 0xb0d1a8aa, 0x3967d1cc, 0xd7da53e7,
+    0x591fa4eb, 0xc8dc098b, 0x980d46dd, 0xdc4e780e, 0xa5516eac, 0xffad722e, 0xe7e7bdd0, 0x3b727630,
+    0x5790d647, 0xa9dfc455, 0xe630e94c, 0x3c690b3a, 0x974214a5, 0xab918354, 0x0c17f1c0, 0x16cef4fc,
+    0x3b68335d, 0x5e2390ce, 0x2733c31b, 0x9023a5f6, 0xde47221f, 0x67800eb2, 0x95389e0f, 0xa88d6725,
+    0x50759ccb, 0x504c98f0, 0x20e99a2e, 0xd5169dab, 0xa607eb07, 0xb8df9859, 0xe42983f6, 0x45c07ddd,
+    0xb0918d36, 0x01eb4ff9, 0x65bd0cee, 0xce0009f6, 0x9cd07340, 0x38982e8e, 0xfbbb02de, 0xfb941fce,
+    0xa4ef1c81, 0xbf28679e, 0x2d715b4e, 0x6d5395bd, 0x8aeb8346, 0x7ecec95d, 0xa8cd9cd9, 0xbaafe189,
+    0x16220639, 0xc261d80e, 0x58867e17, 0xf7dc6829, 0xe7d9c108, 0x739a382c, 0x8faf12e1, 0x9641bdf1,
+    0xc1416b2e, 0x46d3837f, 0x261760a2, 0x01b2585d, 0x26ed33dd, 0x7d1bf312, 0xd635c395, 0x3086e045,
+    0x76d542b0, 0xa1782a95, 0x4ad001ef, 0xfed57546, 0x669626ca, 0xb08eecaf, 0x548de8d9, 0x1d3a44a7,
+    0x7107ba84, 0x97c2078c, 0xbf9ae9e9, 0x354354f8, 0xc91c3479, 0x2e6b5ca2, 0x7404993c, 0x3af1847d,
+    0xc8399609, 0x5a84e685, 0xb1c06dbd, 0x3f56571f, 0x73ddaa05, 0x48cf3c24, 0xdac1dfdc, 0xb05f91ac,
+    0x4cd24bde, 0x837cf62b, 0x3ad0bf2c, 0xc8d16657, 0xbe64128b, 0x9339335c, 0x9dd8570b, 0xdb11d53d,
+    0xf9d99048, 0x525bfcda, 0x84ac7c99, 0x2c9a8b38, 0x258051b7, 0x7e7556cb, 0x76345981, 0xd1ec4966,
+    0xca368ad9, 0xa590dafb, 0xefa30837, 0xccd9879b, 0x75a2f520, 0x1dd96784, 0x7e4bf2f8, 0x4bc3fba9,
+    0x57be9a7d, 0x9ceec254, 0x82192a19, 0xbb050829, 0x8b4db8bf, 0x416f0690, 0xc6b07679, 0x8fc5a4fa,
+    0x871decb6, 0x1f09af0a, 0x8fba9e56, 0x71db64c3, 0x81effd7c, 0x218057b9, 0x1c026058, 0x74a0b451,
+    0xb07da160, 0x8121419b, 0xec7c23a5, 0xcfe0b0c0, 0x464fd5be, 0x6871fced, 0xb354d5ec, 0xe57c8754,
+    0xd2791c10, 0xda347c43, 0x07be3dc7, 0xc42a6ed2, 0xa462b7b0, 0x419cee55, 0x1dc6b2b6, 0xf03892b8,
+    0x21ee1342, 0xeef51131, 0x41cbef39, 0x963a1cc5, 0x00775608, 0x09bb5b0c, 0x9201b0d4, 0xbd984b58,
+    0xba750512, 0x3135b523, 0x1415835a, 0x53b1127f, 0xeaf43ccc, 0xca506b27, 0x7b0e464a, 0x95686940,
+    0xb928f109, 0x98b1ad18, 0xc2e7f9c7, 0x3fdff83b, 0x60d42711, 0x294256d0, 0x987c7dbd, 0x2ff6db88,
+    0x20ea7c10, 0x84c66b85, 0x8b8cbb51, 0x931aa3b8, 0x503ce26e, 0xab448e93, 0x3b78989c, 0xc2bc8d46,
+    0x381ba8f8, 0x335bc148, 0x7bc35819, 0x0fa5b40c, 0xc469ef9a, 0xb489ae16, 0xf3ecab7e, 0x1f419873,
+    0x3c2ff796, 0xcc39cea5, 0x13e72c14, 0xf0068b0c, 0x3fd5843b, 0x3f15b42c, 0x13700806, 0x3d6f6552,
+    0xbae324ee, 0x4d935052, 0xfd0e7ca2, 0xf7d2b9fd, 0xb484a093, 0x15cb2c47, 0xb9fa9adf, 0x66d5a948,
+    0xa6c84d3c, 0xe2cee275, 0xcc51dad8, 0xec6d448d, 0x2873e7f5, 0x88b69838, 0x525d5160, 0x8539e067,
+    0x1c8e8bf0, 0x3fe814c4, 0x0c60b236, 0x46dd304c, 0x9bca8438, 0x510ac4f0, 0xf581da6e, 0x3886a8e0,
+    0xe793f855, 0x81d8f8d1, 0xcf027a67, 0x0b8c8f5e, 0xd62f71f2, 0x26c9fa36, 0x29c6710d, 0x6a054cb7,
+    0x10ee5c84, 0xbe0341e7, 0xccab7fed, 0x8df69550, 0xe823644d, 0xe0cec1f1, 0x0cf36870, 0xfcc605d5,
+    0xe04e6ead, 0xed948d77, 0x9ea43cd8, 0xfb2c4ac1, 0x3911ad16, 0xad0dd476, 0x023d4985, 0xb5dc7c2b,
+    0xc8618f76, 0x91ea3cb1, 0x821891e5, 0x7627bdb3, 0xd43ea11a, 0xe8994cda, 0x53e96b0d, 0x873b7ff7,
+    0xcc9f1609, 0xd8c74a2d, 0x1788c682, 0x5d01a1fa, 0xc35683ff, 0xf205912a, 0x01eaf0ff, 0xf1fc166e,
+    0xe101b5bd, 0x025742c9, 0x43d72741, 0x5908cb40, 0x87207b0c, 0x41955c58, 0x342b6bf3, 0xf513270a,
+    0xfe7470e9, 0xe5c82e8c, 0xca87dfc2, 0xb491fdcc, 0xd3cc6141, 0xb2a2433f, 0x29b317c0, 0x5e8baf45,
+    0x5d8b8911, 0x223bde9b, 0x266f75e0, 0x1dd4dc5b, 0xbe226385, 0xd91321ca, 0xeebf4c8e, 0xd81ec1a9,
+    0x05f0912a, 0x09157a03, 0x1ea98b93, 0x7d0a26ea, 0xb9cb8fc1, 0x4c39b47b, 0xc0c78b4a, 0x13b9f670,
+    0xe286b0b9, 0xf714adef, 0xf14654d8, 0x115a54fc, 0xc37f9ddf, 0xd0b10cea, 0x27e1e2ab, 0xe7e2f6fb,
+    0x31cf44ea, 0x423c9e2a, 0xab06e1c0, 0x13398730, 0x819f7359, 0x99c3e7f6, 0x2d701433, 0x51892064,
+    0x4158cb4a, 0xde0579d7, 0x00aa07b9, 0xb639ece8, 0x011d16b7, 0x0009c291, 0x9852f90d, 0x9c9eeb17,
+    0xa36e574c, 0x150efb9d, 0xbf3a70d6, 0xb829b509, 0x9fc118d8, 0xa3740344, 0x562adbf2, 0x12030cfd,
+    0x544be374, 0x1355a889, 0x123961be, 0x0da2fa3b, 0xbb8b3b96, 0x01379ca3, 0x40ac6cb9, 0xb66d7c7e,
+    0xdf322a34, 0xca3a247f, 0x9a754e17, 0xd47133c5, 0xf222b8e7, 0xf2581f5d, 0x735df72b, 0x43b3d153,
+    0x0bbcf93b, 0x33a28ed3, 0xd08722e9, 0x616af810, 0xac00bebc, 0x967e537c, 0xd3b69bd9, 0xb6447085,
+    0x4ded946e, 0x657a7578, 0xbb7f1222, 0xaf8f1689, 0xf959a71e, 0x462318bd, 0xc09efdf6, 0x58235cf8,
+    0xeb47eb70, 0x0f709d15, 0x0fbe19a4, 0xc4c04bf0, 0xf6e39c3e, 0x0b38885e, 0xe2bdbe00, 0x9155f59e,
+    0x040e6ee8, 0xaf702278, 0xa9621354, 0x6d83da8f, 0xf1c1bb89, 0x3e473f79, 0x36e04250, 0x94393e6f,
+    0x3b3d6644, 0x73245184, 0x6b0bead5, 0x251e99d3, 0x223a2c22, 0xe822e3b6, 0x0f09d83e, 0x745bfe34,
+    0x9ac8be51, 0x5849af7a, 0x780e0eb7, 0xf1277113, 0xc7f7fc73, 0xc425eebc, 0xd2b7ece3, 0x0efce7cd,
+    0x6053c441, 0x78b58dbb, 0xb89e34cf, 0x7c90beac, 0xfd41d12f, 0x7cb7ab36, 0x8b11f3b9, 0x184aaf41,
+    0x52a826fe, 0x0f8baca3, 0xf191eb5e, 0x96ef3e04, 0x1a2257fa, 0xaafe849e, 0x1e7aec69, 0xaf0a36f9,
+    0x9ec13e1d, 0x53b56ddf, 0x2867d246, 0x48facf06, 0x69524aba, 0xc8ec2fca, 0x2affb34a, 0x3fae83ca,
+    0x52cbfcd8, 0x1fe5f2ce, 0x40066c75, 0xdbca1771, 0x170526c2, 0xb1c6026f, 0x479291cf, 0x10c3853b,
+    0x43432f73, 0x1300aa4a, 0xcee85a66, 0x3994369a, 0x9ffeabbe, 0x5a662df7, 0xedd2b4bf, 0x08d6d41c,
+    0xc31d9c9c, 0x079331a2, 0xc22c6858, 0x947d5569, 0x7d975781, 0x968e5861, 0xf904c19d, 0x7eb82468,
+    0xbd86fc98, 0x1730a991, 0x584853ee, 0x2c44f321, 0xb491218e, 0x26602b42, 0x417bd9d0, 0xc0ce82f8,
+    0x241e4120, 0x75cfd62c, 0xaa3222c5, 0x0cb8245a, 0x6d433809, 0xd4d6727a, 0x17b37ed0, 0x30cc9d16,
+    0x2433edf3, 0x5b32ebb2, 0x5288b4c4, 0x5657b6ec, 0x1aa7dcde, 0x284c6331, 0x58d3e4bc, 0x891f7d43,
+    0x84f7daab, 0xe74d5142, 0xcd84f3fe, 0x1069a491, 0xe3895aff, 0xf53f2e99, 0x5f707a81, 0xc2287cda,
+    0xdae681f8, 0x0a20b44c, 0xf91f7ea9, 0x6688622f, 0xb5f260e8, 0xc0a899af, 0x3a93ebed, 0x8f286597,
+    0xd28e578e, 0x2fa56fd1, 0x5f234e11, 0xfb00dec7, 0x8210ab69, 0x1c0e4207, 0xb1ddd036, 0x7638e584,
+    0x2f8a9563, 0x7aac0224, 0x915f9051, 0x2c65055f, 0xb2aba93b, 0x28fdd9b6, 0xddeef223, 0x7dab47cd,
+    0xe273d7a0, 0xcce086ab, 0xfb9e04cc, 0xa3b126b5, 0xbf8ed721, 0x4aec4238, 0x9f71fd00, 0xbcc3608b,
+    0xa2b34580, 0x37a76689, 0xc38554bb, 0x43e039ce, 0x128d6c9b, 0xf6bed35f, 0xc2e36026, 0x3ae346a1,
+    0x78ad3610, 0x326220bb, 0x37534afd, 0x5c16f650, 0xa149ed10, 0xf31f5147, 0x60e590ff, 0x194acee1,
+    0xa172b658, 0xaea53747, 0xf80ddd95, 0x35ca670d, 0xa00ad417, 0x2ab375f0, 0xd67048c7, 0x736aeefd,
+    0xcf520c34, 0xa7063951, 0xeecb6521, 0xd18e37a1, 0xbf76e692, 0x1147776e, 0x3f997f26, 0xec0e1961,
+    0xd061f892, 0xe31f332f, 0x88fc6c7e, 0x9d6d3042, 0xdb3ace75, 0xced47499, 0x61b1b80f, 0x8020cdc9,
+    0x83eb8091, 0x56b0f221, 0xce5bdbac, 0xe1063393, 0x3a6c1e23, 0xe756b7d4, 0x03ececc2, 0x46f40fd1,
+    0x669a701b, 0x604e4c20, 0x000c67c2, 0x1d565598, 0x74c7c0c0, 0x8257c7ac, 0xe0f2a6fc, 0x1d04fbf1,
+    0x755a3849, 0x080a5668, 0x023ee705, 0x1c1b2f86, 0xa5772ce4, 0x4acf127a, 0x8987c724, 0xcbf148ff,
+    0x60eef55c, 0x56f6ca54, 0xcb25f4ee, 0x549d6a3e, 0x11ccdb3c, 0x84325223, 0x6a2f310b, 0x41925b63,
+    0xc840ce2a, 0x1c4287f3, 0x0f3f63cf, 0xf3508115, 0x749a010a, 0x64a54ad9, 0xd6cca4b6, 0xe2bcd346,
+    0xdea78cb4, 0x07391964, 0xa5649ae5, 0xebc73535, 0x99de94a7, 0xeda87f1d, 0x3694cf08, 0x20c2c962,
+    0x744053a2, 0xd33a3c4c, 0x424f8db1, 0x4ad2969b, 0x4c2631f7, 0x5a48809c, 0xda688286, 0x8baac5e2,
+    0x15148f0a, 0x328e4f1a, 0x861f259c, 0x1931ddba, 0x8a4a7510, 0x7eae2410, 0xb69698c7, 0x9c55eea4,
+    0x4295168d, 0x2999c260, 0x94ceecbe, 0x25c838df, 0x9e46f18c, 0xbf4f4431, 0x45b66942, 0x3774b20b,
+    0x4ae63066, 0x8075b584, 0xeaa2c08b, 0x19d21b8d, 0xb7f1d265, 0x3a197742, 0x3d4d714c, 0x1349e7db,
+    0x528c70a1, 0x9c389591, 0x9d9557a2, 0x5e6b51e3, 0xae0e4fc2, 0x2d9b96fd, 0x293b3840, 0xc9f5474b,
+    0xcab97775, 0xf5a6d88b, 0x4195040d, 0xf9534cff, 0x877c7e41, 0x8c55f1d1, 0x5fe7ec1e, 0xd2431f6a,
+    0x7d73d5c4, 0x5c74b27c, 0xb1838527, 0x19725167, 0xd894e18b, 0xe3f8e337, 0x32d08055, 0x2c4d7206,
+    0x45c33114, 0xbc591ac8, 0x0133e221, 0xcc0d03da, 0x4529f922, 0x286aaddd, 0x190f9e9c, 0xf0054f91,
+    0x2a339954, 0x95e47ab8, 0x8ee1e319, 0x94ecca9e, 0xe3c388ff, 0x95903e5e, 0xc4d56246, 0xf7ad2d9c,
+    0x9090dbed, 0xcf31651d, 0x514e0b7f, 0x56aca235, 0x30a5b8d2, 0xcd6444fa, 0x39826af5, 0x133ffbc5,
+    0xcd4574ad, 0x8a218e79, 0x32994823, 0x22fe89c1, 0x8dac1852, 0x521441ff, 0x42245a53, 0xbf526791,
+    0xfcf90620, 0x0ac3e0bc, 0x971207b1, 0x8afeaced, 0x338aff19, 0x319d1a5d, 0xee66a660, 0x6d7d95a7,
+    0x998ec68b, 0xa001c29d, 0xb8cb6d74, 0x2037feba, 0x0285bc1b, 0xde6f9fd0, 0x114ec4ae, 0x68740b15,
+    0x9e4671cc, 0xa3a1455d, 0xc0427b87, 0x18fc9991, 0x70d181b7, 0x7da302ad, 0xaeab001d, 0xb6cba43a,
+    0x6494aeed, 0x136389a5, 0xf88325aa, 0x4db54c82, 0x852aa69b, 0x75242972, 0x39de4b82, 0x94bd8635,
+    0x563c7613, 0xa59ce2f3, 0xea9aad8a, 0x88f33135, 0x8ac7c250, 0xac7abfe6, 0xd90a4f1a, 0x06b9983f,
+    0xa3097e3c, 0xa1cfe172, 0xa596faf6, 0x8ccb85f1, 0xdc33adb2, 0x3b9f9f6e, 0x7d95d05d, 0xd733b1eb,
+    0x752811fb, 0x9c9a8c9f, 0x74ac4620, 0x19c14c1e, 0xf835c5bc, 0x0e76aac0, 0xf677d125, 0x17ddae9e,
+    0xa066abfa, 0x20e0e6c5, 0x0add9d1a, 0xa27c3f8a, 0x2954d446, 0xfb48fb4c, 0x490fc130, 0xa5f16cfe,
+    0x2fd393ad, 0x4939da24, 0x4606c172, 0xe2071066, 0x2085f129, 0x0f1f2e06, 0x6d470688, 0x29030eb6,
+    0x0074f4e5, 0x41fc494d, 0x1527db0f, 0x47e4cdd3, 0x2888c16f, 0xb3762bc3, 0xa4df0bf0, 0xc5aa0133,
+    0x50824a17, 0xcdedea49, 0x0e984c49, 0x2ecc0865, 0xd8c2f9e4, 0x2583d163, 0xc314fa28, 0x05e54219,
+    0x31627c47, 0xc33b01f1, 0x04006f2d, 0xeb72aee0, 0xe2217f80, 0xe9a0d8fd, 0xf7436321, 0xd20fbbc6,
+    0xab8b503c, 0xe20e3f49, 0xc7627762, 0x362c0fe4, 0x9fcd51f5, 0xf2dbdf10, 0xc230798c, 0x11a396ab,
+    0x435008ef, 0x5007dc0b, 0xadb6fc2f, 0x4ebc4ed8, 0x17cb8327, 0x52ee8b30, 0xa5143e65, 0x3a50d669,
+    0x9d5ff26c, 0xa7d87861, 0x5ab55b18, 0xd2f75776, 0x2d220bea, 0x0a90de1a, 0xec8a8cce, 0xab5a8e11,
+    0x5a693d85, 0xfc96809f, 0x7fa0eb95, 0x9e21d759, 0x5e8d9936, 0xe18f978f, 0x4873c86d, 0xef913ea0,
+    0x658423a9, 0x3966e7fb, 0x29004a3d, 0x9be08483, 0x42f632c3, 0x6e1a59e1, 0x773b4da9, 0x19e7f32a,
+    0x34925471, 0xa58da751, 0xd828ec76, 0x2fe6a983, 0x2ee2b66f, 0xf7ea6981, 0xef573812, 0xcc0e36da,
+    0x65ddc153, 0xa0ed876c, 0xa885eafd, 0xfbbdf349, 0xf6114667, 0x7ad0fc5d, 0x8e106718, 0x0a81b4f4,
+    0xc5a6d483, 0xd51accd9, 0xaee44e18, 0xa62544a6, 0x20a521ef, 0xaa16d394, 0xe9266058, 0x7c3d4cbd,
+    0x6c7e18e9, 0x19a14437, 0xd734f9d1, 0x5cd5c372, 0x6fe33b8b, 0xfd87e6cd, 0x40c6eeda, 0x8eb5b138,
+    0xabc05d2c, 0x2d4903ea, 0xacda7f6e, 0x0f077089, 0x4ae65c0a, 0x94fa7992, 0x78e8f693, 0x8e0a4084,
+    0x1afb36a3, 0xa728ba69, 0x896ac1e3, 0x9851f177, 0x3862063c, 0x9b233efb, 0x1a7a2971, 0x15f5e08f,
+    0x73c4ac3c, 0x23f86810, 0x5004fd0d, 0xffb04a27, 0x53c0de06, 0x63bdf191, 0xb00694ac, 0x8fc1e3f3,
+    0x00000000,
+    0x9af02161, 0x187a62f9, 0x49537f7d, 0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6,
+    0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000318286871302\
+                          26345097944463881396533766429193651030253916189694521162207808802136034115584 */
+  { 0x00000000,
+    0x460f2d7d, 0x43a9aebd, 0x313b2632, 0x295e62b0, 0xebb88255, 0xdea6a774, 0xa5e33108, 0x5398a05f,
+    0x9c2cec69, 0x35caf91f, 0x65ea5536, 0x24542dc9, 0x4efab7f6, 0x75631bf9, 0xf2bce0c6, 0x7a45c90e,
+    0x6a481db5, 0xc2b8a3be, 0x8c29b426, 0xd8205ece, 0x4133603f, 0xa7885722, 0x1c0aa033, 0x4baf6324,
+    0x98c86268, 0x914e6b67, 0x280bb23a, 0xe0e022a6, 0x5af251cc, 0x29349c39, 0x007bd7be, 0x19262850,
+    0x16986f70, 0x2013e09b, 0x1bd63c6d, 0x26afcec1, 0x6e5b2558, 0xb1eeebfe, 0x3313925d, 0x414b8df3,
+    0x18f45e1e, 0xdf22bd20, 0x0981e0c8, 0xbf60f682, 0x903f3f3e, 0xbbec5b60, 0x41f8afa2, 0x964b0ae7,
+    0xfce9b8f7, 0xcb366280, 0xd93c7c69, 0xcf41a13d, 0x065cd000, 0x742bc4ca, 0xeff1cc2c, 0x35e634ed,
+    0x469fca1d, 0x8416c238, 0x33c3ea20, 0x3a2e991a, 0x2656e0be, 0x58823598, 0x42657ae6, 0xa3066dd1,
+    0xf9426fa8, 0xe77751ab, 0x8b0cf9fe, 0x4295a52a, 0xda56590d, 0x66783ca8, 0xff29e3c9, 0xdade55c0,
+    0x445e607f, 0x4ee58a02, 0x9154fda4, 0x83378213, 0xb3dd76ea, 0x045f5964, 0x48c0a2fd, 0xaf9d6793,
+    0x5fb852c4, 0x5b212d2c, 0x86480763, 0x6da75a3f, 0x37c55a19, 0xe86fd42c, 0x3b8e0e50, 0x7c820d6a,
+    0xd5bbcdd0, 0x967b7a35, 0x9f21f9ee, 0x0695f019, 0x487a9d51, 0xad2b4316, 0xe00fe94a, 0xa1b014ea,
+    0xfb1a2d33, 0xda1fbb4e, 0xf27b562b, 0xf85f916d, 0xa9090816, 0x3c690105, 0x443e32c1, 0x870bdc09,
+    0xe58fe7b7, 0x58cbcfad, 0x4652dc17, 0x5ad97630, 0x6ee2d168, 0xa38125f4, 0xd0f4019e, 0x2cbd67a8,
+    0xacb6fc38, 0x9d5de80c, 0x35225fa4, 0xd5e61797, 0x3c413c85, 0x22acc004, 0x5723330d, 0xc32b178d,
+    0x5481c954, 0x282c2c33, 0x659d7182, 0xe4269bab, 0x311376a6, 0x1b3f6ab1, 0xde6a54ae, 0x97bae5ef,
+    0xf66e7c60, 0x8b23bf78, 0x6344816e, 0x07828e96, 0x512bfce3, 0x8fb62876, 0xd8e83874, 0xee99533f,
+    0xa60318ef, 0xe9179e30, 0xdae3863b, 0x5c57d752, 0x9da7c013, 0xc2d7b3bc, 0xda6ed0cb, 0x7fb3e294,
+    0x24eede13, 0xb4908650, 0x887d1e34, 0xd6298938, 0x9c66c147, 0xd04edb09, 0x8cea445f, 0x2cd8b51e,
+    0xb4bc0e18, 0xc8b05444, 0xcafd991d, 0xe4be5201, 0x8b3d08eb, 0xed02fb71, 0xba1af390, 0xde04ee24,
+    0x39b576ef, 0xffe6f3bb, 0xf4f627f7, 0xc23962fd, 0x71dee590, 0x18d7c66b, 0x0d11ecde, 0x5930ab59,
+    0xb227a904, 0x5c8667b2, 0x1055d321, 0xba3e5c0a, 0x77f28c77, 0xec096837, 0x27e9ec22, 0xd0bd65e9,
+    0x202cba32, 0xe459cbb1, 0x0af25e48, 0x40ddf7e3, 0xc68fcab6, 0xefe33e2b, 0x0a2c17f5, 0x5c303931,
+    0x130b8611, 0x6e05f913, 0x01561a90, 0xbb41bd6a, 0x1a1d4087, 0xc720230d, 0x79bcddf2, 0xbdcd222e,
+    0x484edecb, 0xc5b31d00, 0x7295794c, 0x819680b3, 0xbdb15a36, 0x2cb02b1f, 0x2af8edb8, 0x6204bce8,
+    0x604b17ed, 0xda8c5786, 0xb3d0e1e2, 0x8d799739, 0x2712da68, 0x9d33e415, 0xf385167e, 0x5ddbb317,
+    0x8148f6aa, 0x00c17d23, 0xcbf5ddd8, 0xe4f84d5e, 0x132e3941, 0x8a3e03b4, 0x68e5122c, 0x01521b52,
+    0xb1c911ed, 0x2be23884, 0xcaa9c1c8, 0xaa88f674, 0xeff2a0ad, 0x06139639, 0xd7de2a18, 0xdca9833e,
+    0x4bf019ef, 0xeae69024, 0x4491389e, 0xecb284a3, 0xa1894c5c, 0xd339dc9f, 0x1171791e, 0xc8711bac,
+    0xf957bc16, 0x9541cad7, 0xc9a513f5, 0x16b50d61, 0x6d932987, 0xa8329380, 0x93cc35fc, 0x3035c396,
+    0x7e58c40c, 0xf3bb1843, 0xde5e9acf, 0xf978c768, 0x1c2b2d22, 0x9646085e, 0x3a408688, 0xffbb9256,
+    0xb2ed3ee5, 0x2e2f6448, 0x799fc38a, 0xd98db4e4, 0x958e259d, 0xafd50071, 0x40731e9a, 0x4ada686a,
+    0x1129d439, 0x80bef611, 0x926011f8, 0xa40c92bc, 0x285440c7, 0x8505b516, 0xfa5133f4, 0xe765f66f,
+    0x70f961fc, 0x7bd3dc5d, 0xd10c8e84, 0xcdffc68a, 0x2e7c8e52, 0xfb8cdbc1, 0x37cf47a7, 0xd7a0a552,
+    0x064e25e2, 0x01d59790, 0x8f5e5a8c, 0xbe0c3a58, 0xc0415fb9, 0x25fe31b4, 0xe674738f, 0x5ab9a1f5,
+    0x14a0fbc5, 0x5c90a961, 0x5623abe3, 0xdbdbfda6, 0xe1810579, 0x41bca384, 0xcf09d62f, 0xa6d7efad,
+    0xede3bb03, 0xf2f84a5e, 0x64c1baa0, 0x9963a584, 0x571223c5, 0x5978137b, 0x581a7081, 0x5e07ac0d,
+    0xe30d6192, 0x4b1260a9, 0x40b60dc9, 0x1998bd0d, 0xfa056c02, 0xf23e4590, 0xaf24da1c, 0x9cb0fb92,
+    0x76ca6691, 0x65b4a3be, 0xd6cb38f6, 0x5d66d338, 0xe04bc2d5, 0x62a9aef8, 0x93e82eed, 0x920e8f8b,
+    0x8f3cb83c, 0x1ef6e3f9, 0x57688311, 0x19b08c45, 0x984993b3, 0xa7699ff0, 0xebec0469, 0x0c747697,
+    0x92fa7e58, 0x529b6e0c, 0x47b1a261, 0xed7df1f8, 0x04b6cbf9, 0x00121092, 0x7237d52a, 0xa820cf4a,
+    0xebe68b87, 0x8d415081, 0xfe5a9596, 0xf3ae708e, 0xe7587d5f, 0x9fd65caa, 0xeed244d5, 0xcf1fe2ee,
+    0x63460d7e, 0x96783989, 0x783ddec1, 0xc100cd51, 0xe075fd14, 0xc5996254, 0x29d9f1e4, 0xe9786692,
+    0xa0ed78c6, 0x367747ef, 0x4dde8278, 0xb71338b0, 0xa46fa824, 0xb213df03, 0x35c37282, 0xf050e309,
+    0x26d89d0e, 0x1aad1be7, 0xd67d1294, 0x5330b228, 0x4e25732f, 0xf55298cc, 0xf22e632a, 0x1cc135dd,
+    0xe449a356, 0xc67a3993, 0xcec978df, 0x82a3acab, 0x8ea3b0e8, 0x29780017, 0x43bbef5a, 0xa12b3c63,
+    0x6869b0da, 0xd9da6ed6, 0x14dae3de, 0xe8ec2c67, 0x0ea07470, 0x39224675, 0xb1e187bf, 0xc71c643b,
+    0x1627d539, 0x926040d0, 0x14c5d7e6, 0x65700d07, 0x81518b43, 0x49159aee, 0x80828e77, 0x5395fb4a,
+    0x0fec970f, 0xf671c22f, 0x30ae9379, 0x758a81f8, 0x05657ed2, 0xdd5b117f, 0x6c93cdab, 0xa40707fe,
+    0x813e296e, 0xb5b309b3, 0x5a48e8db, 0xcf056512, 0x676ffb14, 0x6597faa6, 0xf3ba52f9, 0x9b64c7d1,
+    0xdee8ffc5, 0x8eb681b3, 0x2a23fdc1, 0x131a7e9e, 0x62ab5351, 0xc97ddeb8, 0x8302b458, 0x8699542f,
+    0x13a73ccc, 0x4d0eba57, 0xf7605a72, 0x215cf56d, 0x0e74001e, 0x3fecb814, 0x6dc656a4, 0xe1572c94,
+    0xaf7f90fb, 0x4eefe561, 0xb4800de9, 0x90178119, 0x446bb197, 0x20cd707a, 0xa514ee5d, 0x27109550,
+    0x0157ec29, 0xb4843e9e, 0x7dda4d4e, 0xbfe70000, 0xb6c8b1cc, 0xbb00c01c, 0x0f6e84b1, 0xdd01a9a1,
+    0xf8774090, 0x620cbba6, 0xa8d0608f, 0xec9f06d2, 0xd4b2adce, 0x455227fc, 0xcb5401d0, 0x8826752c,
+    0xc669e728, 0x3cc0a4f4, 0x8a236735, 0xac8ef3a0, 0x6aace9a9, 0xe2620c00, 0xeee1ad71, 0xc0172f77,
+    0x23834f6a, 0xc4ebbb81, 0xf7262f86, 0xcb99f579, 0x50b49bad, 0x5e4ca369, 0x3c3c39d0, 0xa2dd4ee5,
+    0x0ecfaa6d, 0xdb54f2c7, 0x6eb7923f, 0xd4174154, 0x56f6d427, 0x9b4d6689, 0x70f986d4, 0x1d238d2e,
+    0xb687fff3, 0x708d8f28, 0xcd8bbc51, 0xd22d15f2, 0x022c976e, 0xc73cb68a, 0x5119486d, 0x757cd8aa,
+    0x5d08de54, 0x8402ef5f, 0x8e0d0cf8, 0xe8c8e958, 0x976b7953, 0xc9afe169, 0x69046d87, 0x1e20b62e,
+    0x41123a76, 0x7a40bba5, 0xab0c765c, 0xe39d8bb9, 0x0bafe704, 0x09671f7c, 0x5008dbf0, 0xa9aac40a,
+    0x289ce23c, 0xbc537923, 0x9c877f09, 0xc58fb390, 0x3ca313c2, 0x81dcd25a, 0x47e8ee7c, 0x2fda1494,
+    0x1407a980, 0xdd874828, 0xb455beac, 0x989fe0bc, 0x9232eea5, 0xf15e1cbd, 0x232915a1, 0xd5863ade,
+    0x33afff1d, 0xe32807b4, 0x669254c4, 0xd86a630c, 0x53dc155f, 0xefb6b2d0, 0xf82d4bb7, 0x6e63b464,
+    0x13bb1c17, 0x8a3e4a97, 0x5e507eb2, 0x6980bdd5, 0x52a6c4f9, 0xea2c0dc4, 0x567cb25a, 0x6d37eb4d,
+    0xf16d51b0, 0x69e7d6a2, 0x5cee133b, 0xd0dadc3d, 0x5c10144f, 0x4c6450be, 0xe6fca988, 0x946cadc4,
+    0xa55f4ffc, 0x31b873b7, 0xc26efdaa, 0x178091e8, 0xd6580e85, 0x74d6371d, 0xc2e05d8e, 0xeb0df6a6,
+    0xff5ff586, 0x16915163, 0x48277efc, 0xeea2b11c, 0xe000a896, 0x2a8c01f0, 0x00ad30f9, 0x8c802a7a,
+    0x07c4ac8e, 0x34e3ed23, 0xf155fd7e, 0x513091ad, 0x68463f8b, 0x18ff31e9, 0x0391e438, 0x143dba0f,
+    0xb50604b8, 0x2b5e05b1, 0x797d945e, 0x8b250ecc, 0xcb0b2cff, 0x0716dc02, 0x954973f6, 0xc8b6aacf,
+    0x4c2fca92, 0x25c94cc5, 0x6544f88a, 0xeeba5c77, 0x0f0ff9b5, 0xf7ac4c71, 0xdd061a42, 0x5f37f30f,
+    0x91e6f9b8, 0x94285388, 0x541144c7, 0x1e96c544, 0x9f0c267b, 0x23a48d0d, 0x6f2e18c9, 0xc18087ed,
+    0xaace83bd, 0xc9468598, 0xf54d2fca, 0xc2a4fbd2, 0x8401cd76, 0xd94b4718, 0xa67e8a14, 0xdba58880,
+    0x49b5c038, 0xe5eafcc8, 0xaaf415a6, 0x9ad0bba0, 0xd1ea7e6e, 0x446dd41b, 0x3b6e8fff, 0xef5b68cf,
+    0xae093220, 0x810992da, 0x5e46ed92, 0x5e536c21, 0x46f83665, 0x343c9fdb, 0xd31a48d2, 0xe7a2812a,
+    0x6bd91d31, 0x3e7ee89e, 0x4425cef5, 0x6dfd41e1, 0x94734db2, 0xfeec29e9, 0x3f657910, 0x676b6b15,
+    0x89e22eed, 0xc991664b, 0x27cd576d, 0x995f3aa1, 0x1f5c3421, 0x53b1ca13, 0x0f06db75, 0x2286bd82,
+    0xdf271eaf, 0x2200af39, 0xbb9dd74b, 0xf38f4874, 0xc3ed0a1b, 0x42b30ce3, 0x94fa98f4, 0x0a805487,
+    0xe4b500e6, 0x80298a65, 0xd434943a, 0x151ba298, 0x330a47de, 0xbd7174ef, 0x5371ce2a, 0x836b6599,
+    0xf17b6812, 0x603a5916, 0xbb65f5be, 0xe87022a3, 0xe7e71962, 0x5d2aaa8d, 0xbd45b321, 0x749d2d07,
+    0xfa81a147, 0x5ee34c48, 0x3841db13, 0x5e3e6560, 0x5b5ec820, 0xac84eb55, 0x800668fa, 0x1701d220,
+    0x267dd950, 0x62194013, 0x932d6fbd, 0xa098d3bd, 0xad55f112, 0xbf2bed20, 0x6dce196a, 0x0faf0fd8,
+    0x9821c757, 0x1bf4a8b3, 0x997bab99, 0x21a26d89, 0x19e81b4f, 0x790a6beb, 0x957dad00, 0x048950e1,
+    0xfa0d9824, 0x0563e8f0, 0x57591e00, 0x04876854, 0x11487ac0, 0xed73516a, 0x496d6467, 0xc8e11ba4,
+    0x431cd5f2, 0xa30e7488, 0x549218d9, 0xb4dc8267, 0x1c2e4e61, 0xe8ad9e60, 0x6588daa3, 0xa8949c3c,
+    0xf92e76d3, 0x1ef4ea76, 0xdbe7323b, 0xfc62ea86, 0x79b817e0, 0x07ab0788, 0x904e471f, 0xebd7d9ed,
+    0x1e911383, 0x8d84f9b2, 0x5d84318b, 0x287d75d4, 0xde0a9fda, 0x814f53be, 0xa4b97160, 0xefde7918,
+    0x91633bfd, 0xa9c367f3, 0x63906932, 0xca170603, 0xb8c8bc2c, 0x9f9a48e5, 0xdaa92507, 0xfd6c9fa6,
+    0x147538be, 0x3328ad86, 0xcf4b950d, 0x4c5d1d43, 0x6f4adf08, 0x75c38b8a, 0x9391d725, 0x46ff321f,
+    0x5c08b2cb, 0xcce24cd6, 0x2e4974d1, 0xbe64dd51, 0xbcdd1831, 0x5af4cab2, 0x593b5e87, 0x16745d81,
+    0x85552857, 0x18bf180f, 0x578416cb, 0xf784a5da, 0x11a413c2, 0x25580d43, 0x9a56ef1d, 0xfa24a6e5,
+    0x656972e2, 0xb029ae3d, 0xf6f9f5fc, 0xc846d5b0, 0x7467d1fa, 0xa27dbc0d, 0xc39e86eb, 0x922ce0ff,
+    0x63e939d1, 0x5e4cde2b, 0x29f31c28, 0x70cabba6, 0x62e488c5, 0xd5536f16, 0x2edbf25c, 0x27f30d41,
+    0xb0f9f902, 0x5bf383fd, 0x88f039ed, 0x073d81fd, 0xebc0bdea, 0xc918550b, 0x1b403861, 0x3b733ffa,
+    0x42d3d318, 0xed8d4990, 0x01b8aeb9, 0xec06954e, 0xeda85673, 0x40411110, 0x4aa9b4bc, 0x9f41398f,
+    0x86561adf, 0x751b2d4e, 0x91b9ff5a, 0xf83fcb2c, 0x483627b8, 0x8b469790, 0x1cda612e, 0x9be28ad7,
+    0x456d07ef, 0x91edcc69, 0x37cadc0c, 0x539944c7, 0x3c57a1c5, 0x8b50ca7b, 0x8749d7e3, 0xbd1b01d7,
+    0x8b0cc0fc, 0x5ce7f8da, 0x335300af, 0x5b8b22dc, 0x1d5f325f, 0x9b466e3e, 0x9a379f17, 0x681a3cb4,
+    0x1be13ef6, 0x978bf2cb, 0xd24607f6, 0x4358ed7b, 0xea950471, 0x74bf2908, 0x4e46b9ea, 0x3598f068,
+    0x4f42606b, 0x73b29506, 0x260f2c2a, 0x1d5f87f8, 0x15f39f0f, 0x708bb97d, 0x3ec75fd0, 0xc2b8d283,
+    0xc1c9bf2c, 0x14fb4ae4, 0x27873fe8, 0x30bae086, 0x364d1b47, 0xac4c8f5d, 0xb05d1ee5, 0x913c0737,
+    0x402a7a2b, 0x0924cb29, 0x6fd7cd7d, 0x1fd37dd5, 0xd78f3690, 0x2739a669, 0x9d0c387e, 0x8235adae,
+    0x3b6c147c, 0x678590b1, 0xf04eddc3, 0xa180f7fc, 0x5cf55b21, 0x1dd859e8, 0x0aa54159, 0x8e10cbd0,
+    0x72f097b0, 0xf10198d4, 0x2ee2f03b, 0x7f9d47c7, 0x54f0e696, 0x3d5fb2a3, 0x2a9e5b00, 0x0354e4cd,
+    0x9cb8c5ba, 0xcdd010bc, 0x14c58040, 0xe5092ea1, 0x884865d1, 0x06943fdf, 0x51b19258, 0xc67ece38,
+    0x9ae3d817, 0xfb34b3a7, 0x725b2cf1, 0x1b6ad100, 0x1190e73e, 0xf5b8724c, 0x6bd89db3, 0xc1503ba1,
+    0x535c06ba, 0x6c5c100b, 0xfaf248a4, 0xbca324c9, 0xaa5c99dd, 0xc33e5568, 0x9b666349, 0xc941a4ec,
+    0xe2d3c0d0, 0x35629e49, 0x290a6e94, 0x698b3015, 0x8895498c, 0x55ccb8d5, 0xd170e9d5, 0xbe1a8184,
+    0xfbd8eaea, 0x7afd90c4, 0xdab429b0, 0x630d13d3, 0xc245f452, 0xabe5a6fd, 0x6457994a, 0x6fbc5cc6,
+    0xaa726485, 0x07fc6bd8, 0x9340bae7, 0x9c2b8a2f, 0xe7d70e37, 0xdc73ff42, 0x5c9623fe, 0xc6fbcd64,
+    0x642a0b45, 0x726c3040, 0x58329692, 0x1d3c2205, 0x79ad090d, 0xc6e51c9a, 0xc4753d98, 0xbf6f7f87,
+    0xe308dd0f, 0x3c403893, 0x4dcbd309, 0x7883a4e4, 0x46f4b44f, 0x6edcca9f, 0xc5dbbb06, 0x2a50d361,
+    0x5177d0bb, 0xdc4aa573, 0x5f8d7817, 0x1d2f227d, 0xa4484baf, 0xb61d00bb, 0xf3bf1ca7, 0xd3b4e8d6,
+    0xe9655a1e, 0x6ad02a7b, 0xe447e467, 0xdc349215, 0xfc13e401, 0x03029302, 0xf4f9de0b, 0x7eb03763,
+    0x6937fb64, 0x3288afcc, 0xdf4b1e4a, 0xba1d7df7, 0xb45c2c1e, 0x7427a918, 0x7ce7dbc8, 0xb85194d0,
+    0x8322f91f, 0x6fca845d, 0x9c39d130, 0xcffb541b, 0xe43b1e8e, 0x119f6641, 0x3c876cf3, 0xcc5276ea,
+    0xf957b64a, 0x3db4338a, 0x312028bc, 0xcc0a6f59, 0x04c55d16, 0x1d72f869, 0xca46f9e4, 0x9f60bb16,
+    0xe5734882, 0xd506478d, 0x894faaee, 0xc0582c4e, 0x8e2d2d7a, 0x1681c1fe, 0x468e6be5, 0x6460772f,
+    0x3cbb3290, 0x44b432d5, 0x2c85df55, 0x3f82a91a, 0xd0e6d9fa, 0x628f0851, 0x9f13ee48, 0x5b81f231,
+    0xf6e4fb72, 0x64b9a27e, 0x1db6ce86, 0x7a32d5a8, 0xa3329214, 0xcae1efbb, 0x6d1fd44a, 0xc2a1ac7b,
+    0x5c6b0bf8, 0x6e8a4394, 0xaa18bd8d, 0xef2d6ad0, 0x7f844b85, 0x683caddf, 0x9ca9d927, 0x2d901bf2,
+    0xbb797ef1, 0x019facd0, 0xc282aea0, 0x4c847848, 0x04879029, 0x6112c3c7, 0x76e8267c, 0x4eeb7f35,
+    0x30db6715, 0x3deec2a6, 0x56d24799, 0x07987718, 0xd7ae83c7, 0x85967a24, 0x95321215, 0x89278b16,
+    0x01efb91e, 0x9473eac6, 0xf70bba8c, 0x8236010f, 0x2003a7fc, 0x0624ad61, 0x5f87bbc4, 0x0639563b,
+    0x739b5ba7, 0x10c471a3, 0xa4c5728d, 0x9e85211b, 0xe22b02ec, 0xd273695b, 0x60943510, 0x81ed12a9,
+    0x682d2cfe, 0xee3d28a7, 0xdca9e2b1, 0x7fecfb09, 0xdbc598fc, 0x1e33a544, 0x514be58c, 0x87a66be3,
+    0x00000000,
+    0xcd7810b0, 0x8c3d317c, 0x24a9bfbe, 0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db,
+    0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000159143435651\
+                          13172548972231940698266883214596825515126958094847260581103904401068017057792 */
+  { 0x00000000,
+    0x97f2e5ad, 0x801e8e42, 0x66b9be09, 0x8859f6dd, 0xe51a1934, 0x14d965e3, 0x5ad8eea4, 0xcf897b5a,
+    0xae8a4584, 0xfe725065, 0x31497d21, 0x444796e7, 0x4d2cc5ae, 0x5b1f619c, 0x1bf45a21, 0x557ed667,
+    0x73b6b8a7, 0x427718d8, 0xf5d183e7, 0x082714b0, 0xd427940b, 0x74b91d80, 0x6a5abeb7, 0x294997a1,
+    0x077dfc33, 0x98743c99, 0xa1d73a62, 0xad82a066, 0x4e4b5e88, 0x29695df8, 0xe7f9bb4d, 0xbe70e7cf,
+    0xec1cc4a6, 0x2e47ac98, 0x0e4df5cd, 0x88a5fc3e, 0x33651399, 0x070a8aec, 0xf660e196, 0xbb0f4f00,
+    0x5bf734c9, 0x4b4383c3, 0xec0e2e22, 0xf2f8c0fd, 0xb4868e95, 0xcf080509, 0xd7b32dd6, 0x8aead4fb,
+    0xdd1d1465, 0xf48f700c, 0x79b52640, 0x5aa8ae73, 0x25b3754f, 0x0a5c2b54, 0x905dd77a, 0xbe451ddb,
+    0x6e5bde41, 0x33b0178c, 0xba39a236, 0x04229400, 0xbc48d078, 0x0b7f09d5, 0x4b3e62a7, 0xb8652512,
+    0x04479f05, 0x50f72eab, 0xdeac8362, 0xf6f373fa, 0x152f6c29, 0xeb482cca, 0xbdb48cb9, 0x4eb7d4c6,
+    0x42dfd26e, 0x2db45f57, 0xe8872b0f, 0x3e016730, 0x0769eb70, 0x1dcb737d, 0x0fa4b7ba, 0x69aeaaba,
+    0x63814527, 0xdfb774aa, 0x3e4f182f, 0xbed4cf8c, 0x31dabd00, 0x0c420991, 0x7413ad7a, 0xda1c3445,
+    0x1e142a1b, 0x8dd1b71e, 0x18e17986, 0x62952206, 0xf41ee130, 0x34868b72, 0xc7d9f96b, 0xe8ee2631,
+    0xad8684b4, 0xa1ad04e8, 0x5326a950, 0x4942cd69, 0xe7b1234f, 0x9d8181f5, 0x96b240a0, 0x0b7df6d4,
+    0x0aa6b647, 0x9a58d9dd, 0xb1b99185, 0xd378ee39, 0xb863b653, 0xaf4bb18b, 0x0bb27876, 0x1fbe97ae,
+    0x594f40cb, 0x34f7e866, 0xbdfb8cd9, 0xf03a749d, 0x88ca1b52, 0x124481af, 0x982024f7, 0xfe0fc7fe,
+    0x189ecebb, 0xcc932909, 0xca2b64cf, 0x7345dde8, 0x98b8261e, 0xea6ce385, 0x33c5f6ce, 0x88cd82a6,
+    0xe80c6b2d, 0xc6c5b1a7, 0xb033c55d, 0x4d52fd12, 0xd9b1f92d, 0x9a6ceced, 0x5081ba49, 0x6450b7dc,
+    0x002125e2, 0xcc1b6bf5, 0x1dc07974, 0xf2dd6a71, 0xa43acd59, 0xdce69a18, 0x53c35540, 0xbf8b00d9,
+    0x2ff3480c, 0xc4bb7e3c, 0xf049c74d, 0x4e9b7c07, 0x5e0e4602, 0x03294a9a, 0xfd39bdab, 0xd229ef63,
+    0xee95579b, 0x72554c78, 0x43421716, 0xf9978d67, 0x029a8db7, 0x1311eb86, 0xdd67138c, 0x5d501bf3,
+    0x4e89b7d7, 0x4e513a89, 0xa3100efe, 0x821db8e4, 0x4ed6aa77, 0x2d939f97, 0xdb46d891, 0x588f3a0a,
+    0xc0437bf1, 0x59f3ca9e, 0xee2ac215, 0xb7ed8c95, 0x04ca79fd, 0x439efa6d, 0xe3a64e88, 0xb684ff41,
+    0xb5b07ca9, 0x9ed08b96, 0x40b4643f, 0xa79b2d0b, 0x0c246b5b, 0x70578e0f, 0x53f5ccaf, 0x366c8b6e,
+    0xa4fd07fb, 0x5eb5b7b5, 0x1ed97bbe, 0x5d0fb4dc, 0x068b4580, 0xc3d45dad, 0x71652519, 0x32339c14,
+    0xe8af2f72, 0xc9466bbd, 0x7471b27b, 0x5b0bb171, 0xabbca247, 0x62b990ca, 0xe4e3eae0, 0xafb5fbdd,
+    0xe981577a, 0xa0eac93c, 0xdcdcf7c5, 0x898e954a, 0x014016e4, 0x6827131d, 0xcc0584ad, 0xebb2ed8f,
+    0x294ed573, 0xf33216ba, 0x6aef217c, 0x32e695e2, 0xf6643e31, 0x1a15f58d, 0xcbc6b36d, 0x0579db2f,
+    0xdc585fc0, 0x2a3341e6, 0x2d450172, 0xb01add0b, 0x938bd846, 0xb0fcebb2, 0xbf6c0d5a, 0x7c4b3a15,
+    0x128abb63, 0x71f47dc4, 0xea822edb, 0x842e117b, 0x4403703f, 0xd2e86b66, 0x987a334e, 0x70b65bb3,
+    0xa715882c, 0x201c9472, 0xe1c0c262, 0x76d012f4, 0x8703c8fa, 0x827d2aa0, 0x181ff4b9, 0x3b8e2d7e,
+    0x5a6ca54f, 0x98831034, 0x353d0553, 0x84ea8a14, 0xd594867f, 0x5f7f47f2, 0xf8cf295d, 0x752a44bc,
+    0xc5b6ee9a, 0x0776e249, 0x345b717c, 0x409c2f7a, 0x2f6931e5, 0x069daca3, 0x7ccf7811, 0x215576bc,
+    0xf0cca8e0, 0x01ac6c47, 0x89c9a268, 0xa3dff13f, 0xc20bfc25, 0xc72e2f8c, 0x037338f8, 0x2bb258c9,
+    0xf3fc96d9, 0x5336d649, 0x894ba6c0, 0x18083b2f, 0x8cfd5c28, 0xb5ce92d4, 0x984ab5e7, 0x9002ad29,
+    0xcda044b3, 0x9936af4c, 0x4589de23, 0x10bb75b7, 0x6cf2dc81, 0x9998431b, 0x306dfce9, 0x9cd60f8f,
+    0x6a3c2807, 0xccef3d3a, 0x3529e3f2, 0x0241479a, 0xc677e446, 0xdc6164bc, 0x0f40f184, 0xd9ac959e,
+    0x1a7afcdc, 0x51dda4f2, 0xe4018f2b, 0xf9e250e4, 0x8fa3aa94, 0xd60cd137, 0xb7da118a, 0x9b1b9f49,
+    0xd3baaadf, 0x8c6f0707, 0x20407b7b, 0xfa1094ae, 0xbd2b34a1, 0xe23468fe, 0x09dbd54b, 0x558064c9,
+    0x9af73d14, 0x62efd96f, 0x4dad12a3, 0x76a01c0c, 0x8470a3da, 0x41a3d5a5, 0xccf16d1a, 0x4a7a8028,
+    0x8fbe7192, 0x887a566e, 0xac768c40, 0xcb279c98, 0x10140cba, 0x2f1e4bb9, 0x63652253, 0xc4349f8e,
+    0x290e7a75, 0x868debd2, 0xdfd89eb7, 0xa67d709a, 0x5bca9c1e, 0x6dd0e22c, 0x90ce26dd, 0xbdcc61bb,
+    0xa3bfc30e, 0x1358ef6e, 0x8c818058, 0x739416a0, 0x09a77cfe, 0x2df831c6, 0x3fa71579, 0x0c35821e,
+    0x6b8517c4, 0x3a8dc66b, 0x4c54cbfc, 0x9b12126b, 0x2aa29e18, 0xd4c5e7f9, 0xa336c080, 0x5455fafc,
+    0x21fde3d3, 0x7bfd13fa, 0x8da4badc, 0xb8a9ecc3, 0x778a620a, 0xfcb53fab, 0x0363a5d8, 0x557c42c5,
+    0xc6e63d07, 0xc1f72c11, 0xa6a6c68f, 0xbbf0b3ba, 0xc2d35b55, 0xd0d03476, 0x81641766, 0x27210023,
+    0x20f5ee29, 0xd0707117, 0x04ac4285, 0x9ea0a41f, 0x653dc872, 0x5b620738, 0x46a35e19, 0x735feb10,
+    0x1603db3b, 0x3c63e69c, 0x9a09390d, 0x96ebd0e5, 0x1c85506e, 0x7b54efda, 0x9102ca22, 0x15a05a07,
+    0x9a8d4c57, 0xf1bc1e97, 0xb8008a0d, 0x9f2fae59, 0xa8849dd2, 0x368f1b94, 0x01520abf, 0x22797898,
+    0x86e8e3f0, 0x00bbd1fd, 0x8d6e53d0, 0x09c9af88, 0x3dacc95e, 0xb766a1ba, 0x220788ef, 0x2f004edb,
+    0x887594d8, 0xb7fd2d1e, 0xb00ecbba, 0x3e6fff90, 0x4449bac0, 0xd6853265, 0x8a1e1372, 0xdcddedf7,
+    0xea0e3fea, 0x7e63f9d9, 0xe7049cfa, 0xeee61224, 0x328bbdb4, 0xa0f0658e, 0x6101d296, 0x552a6f02,
+    0x63514f91, 0xd0d51ea4, 0x54eb67d3, 0xd62caf64, 0x50e725ca, 0xb3da4bdc, 0xfde9d92e, 0x25114753,
+    0xd4afc62c, 0x2860d642, 0xa073ef94, 0x4a7102f5, 0xb1eef437, 0xcea030e2, 0x8dbe318e, 0x8faba89f,
+    0x1f95e7cf, 0xd971bdc8, 0x8547bfa4, 0xc0420511, 0xc1df8919, 0xdec9f327, 0x1cc5913f, 0x7e6868d8,
+    0x14700f11, 0xefb68e05, 0xb9074c83, 0x08e63514, 0xc3ea31ee, 0x2683067d, 0x9c01382c, 0x6d3cf55e,
+    0xc2365282, 0xeab02421, 0x9020a472, 0x02687102, 0x54a6b251, 0x2a2698ea, 0xe3d21c03, 0xad082468,
+    0x05ad9a50, 0x445d2a12, 0xca82dd2c, 0x35b49bf9, 0x20f401b5, 0x2d61705a, 0x0415680a, 0x579c73bd,
+    0x6b8b3862, 0x05d257a0, 0xeab97528, 0x66fe3ba7, 0x4fdec732, 0x9bce4041, 0xce16664a, 0x18a4d534,
+    0xd387adc6, 0xf0349c25, 0xd175f280, 0x7b0c3aa1, 0xc37c73e0, 0x9cb43d3f, 0x53520ad8, 0x1ceaa028,
+    0x0f436e8e, 0xcb468192, 0xbe75b3c1, 0xd85d5b57, 0xfd304c60, 0xd9a3bd09, 0xb3622436, 0x9220677f,
+    0x960d80ea, 0x3a38325b, 0xad255382, 0xe263b9f8, 0x1e162558, 0xbd834373, 0xc6aa2f8f, 0xa5bcdb29,
+    0x2fefebb8, 0xf0b2c85b, 0xa58c086c, 0x0ae75315, 0xa50b9116, 0xe0929ee1, 0x6b6c1f60, 0x1dbb19a0,
+    0xb8816d8b, 0x173193c9, 0xdef5e525, 0x85d536f0, 0x3dc46470, 0x3a9f189e, 0x70854d3f, 0xf33f7be5,
+    0x724580af, 0x576b38fd, 0x8c7232b4, 0x338c7bd9, 0xf1ed7368, 0xd069b5af, 0x58f53e98, 0x404cbbf8,
+    0x9185ba73, 0x78c788b9, 0xd40901c4, 0x6bbf5cf6, 0x2e114b8e, 0x139edd17, 0x080e912a, 0x8058050e,
+    0x9c44e1eb, 0x144106a5, 0x8bde6667, 0x7ec959e6, 0xf1b8b568, 0x4e5bfdca, 0xa208b1ce, 0xf0b24284,
+    0x1795d5d0, 0x83fe58af, 0x43eacc90, 0x95608119, 0xeb9ff594, 0xe6d33e01, 0x95d8c0c8, 0xb590a3e3,
+    0x3ecc4fe7, 0xb77d2af9, 0x1bd02d9c, 0x2e119ac0, 0x93497187, 0x4bf7115b, 0x625a2acc, 0x43ffca74,
+    0x54f4f473, 0x7352d044, 0xa1fa2a7b, 0x2bbceeb0, 0x44428acc, 0x990c3d61, 0xf6564967, 0x96a64a2e,
+    0x1e56b7fc, 0x0605da61, 0xd00ee82d, 0xc1d2ea3e, 0xfe5248f4, 0xc3d9c1a1, 0x9f581f4e, 0xd12800d0,
+    0xc56a0329, 0xc96ce81b, 0x7b145bbf, 0x1404739c, 0x8aff0969, 0xa3f9f983, 0x00c74cd4, 0xe916b261,
+    0x5da6baf8, 0x22e553e2, 0xf00c1e8c, 0x3bd0761c, 0x2b9fe4c5, 0xfe039641, 0x54dc709b, 0x38a8281f,
+    0x791e335b, 0x9155c400, 0xdb23ebb2, 0x4b984243, 0x7a6539cb, 0xeca0a2da, 0x3d5cd0be, 0x3314c255,
+    0x7a13459e, 0x885db600, 0x57eab3eb, 0xb4c9b1fa, 0x1577b977, 0x303a014c, 0x86cb24a0, 0x5aa6e03b,
+    0x2a536636, 0x6b00f2d6, 0xe764c536, 0x13e744d2, 0xd4aba96c, 0x39e36c56, 0xe8124542, 0x373cee93,
+    0xb94dd37f, 0xaab3db11, 0x4bf77b31, 0x27455c8d, 0xfe8fbc14, 0x564a4a8a, 0x14aa7c13, 0xfbc5d565,
+    0xbe156e45, 0x716edd13, 0xbc045934, 0x5a41efed, 0x96d70836, 0x80b2f363, 0x9ca4d8ce, 0xaa114d06,
+    0x5274b9b0, 0x3b47ba98, 0x0576f6fd, 0x30c8c210, 0x10582605, 0x81000aee, 0xd9f745ee, 0x4ef23b9e,
+    0x6c80920c, 0xc17d6fa6, 0xbf7a0b99, 0xf1720e00, 0xd51d617f, 0x1ac4aa94, 0x1a82646b, 0xeb4c4263,
+    0xae768532, 0x309db70f, 0x6be61280, 0x3fed5c37, 0xc07dd17a, 0xa6923c5c, 0xa1910e69, 0x6634588d,
+    0xdf70029d, 0xcc2598df, 0x27f74970, 0x19620c34, 0x6bae9e75, 0xbd291bd1, 0x4134d94d, 0x3cf61d92,
+    0x933bd430, 0x69c3b6f1, 0x6f32b74b, 0xc04c62b0, 0xb78de9f9, 0xc764db68, 0x3343a7ba, 0x717ffbaf,
+    0x02830b8b, 0x253bb2c3, 0xe3e5e2ae, 0xc488ea27, 0xc1410041, 0xfe7556e0, 0xb4024dcd, 0xd1ce3f0b,
+    0xf77f36e4, 0x9f499b8b, 0x9cfee562, 0xc8198662, 0xa0360572, 0xc41b4284, 0xb9080c1e, 0x445fa3d3,
+    0x6fdceaf6, 0x59e6944f, 0x4548c11b, 0xf577e3ee, 0xacc16d58, 0x0b6ab502, 0x9a340f91, 0x6cabad91,
+    0x30eb456d, 0x7faaf901, 0xdc739679, 0xc677afd1, 0x61301ca4, 0xbaa535da, 0x6fd8d3c5, 0x56f68f95,
+    0x0c693b6d, 0xf14150a9, 0x1887cf01, 0xd5d2f8f1, 0x0b788784, 0x27c378c5, 0x3887818a, 0x131419a3,
+    0xceeacb82, 0x256a5b9a, 0x9fd3d7a2, 0xce1540f8, 0xecce8f3e, 0xf34e4d6c, 0xcc4b2772, 0x4dbe3131,
+    0x17f1c7fb, 0xadde316a, 0xdbd66a11, 0x8a7bf3d9, 0x6360e3ba, 0x1c085e06, 0xb595b385, 0x53ec5b4e,
+    0xe89a0542, 0x9124910f, 0xe9b314ff, 0xd9f968fd, 0xb151ad92, 0xf33799c4, 0x3c5325a8, 0xbf24375f,
+    0x7212f354, 0x25b06880, 0x7019e311, 0x28c9f143, 0xe38a4744, 0x3ba78e6a, 0xaa7bf600, 0x56026fc8,
+    0x2aea1179, 0x91ee593b, 0x2ee225fb, 0x8fdd8c03, 0xc85a5739, 0xe50b9725, 0x8f68f035, 0xe3ec4418,
+    0x8103e8b5, 0x455ec0c5, 0x3e300773, 0xb0bdb397, 0x18bf1866, 0x13e14e76, 0x8cf1d9f6, 0x09c617c5,
+    0x85b826dc, 0x1647460e, 0x2c7a2455, 0x1412f084, 0x7652390d, 0x2011fce0, 0x4fcd6fb4, 0x036c1b55,
+    0x7fcaf91b, 0x1336c86f, 0x7e353a9f, 0xba373555, 0xf182ec84, 0x19efa619, 0x874af406, 0x10ea3622,
+    0x05e0e9df, 0x26323bf3, 0x3d282d3d, 0x3bae3f9b, 0x77703722, 0x4003b79a, 0xeb0eb0ac, 0xdffa1bd3,
+    0x4c135550, 0xe5d4f4c5, 0x206e2252, 0xb267d82c, 0x6c285df0, 0xd4a3fb1a, 0x64466a19, 0x197cf058,
+    0xb0bd4a5a, 0x286abe66, 0x33e20f79, 0xcbf689ab, 0xd01c1628, 0x5f1cf2e3, 0xc4e88799, 0xc5a71f97,
+    0x00c26ffd, 0x33f6f805, 0xf17c6c2b, 0xcf04f7b5, 0xeb320cdc, 0x61f003b4, 0x91fa37a2, 0x29b37286,
+    0x940284e9, 0xbf4cca21, 0xaf1900be, 0xd88fe092, 0x2a91ae7d, 0x3155d8d9, 0x5e8f7426, 0x930fae56,
+    0x6254e981, 0x7eec48ee, 0x62840810, 0x542a3299, 0xeab85b08, 0xf11d2680, 0x16f112fe, 0xda4da18c,
+    0xfbd83c09, 0x15495d6d, 0xd0c59598, 0x699a7299, 0xebecd1f1, 0xaf561eca, 0x7298c328, 0xc4b5fdad,
+    0xbfd476df, 0x05293945, 0x87db475a, 0x4b0d79b4, 0x78464f43, 0x29858e27, 0x3b6e63c7, 0xc6cb11c5,
+    0xa573fe5f, 0xf087fd2b, 0x7ab93718, 0x5d599caf, 0xa1f90cf0, 0xdd3c4db5, 0x904e9086, 0xf96b334a,
+    0x9c318eff, 0xe21a1ef9, 0xe7361b5a, 0x512a1b3b, 0x7ecc9fae, 0x93cda674, 0x38ac11d2, 0x7f9b3e93,
+    0x48eaeec3, 0xe97559d1, 0x4dc097e3, 0x245a9224, 0xc2081276, 0x3ddf5d69, 0x547eb4f0, 0x813854ad,
+    0xd1bbf3a5, 0xaa7eaef0, 0xbe79a803, 0x3861d151, 0x5163d61d, 0x66eb13d0, 0x171d970f, 0x31eaed7f,
+    0x30193b9a, 0x13a09ebb, 0xac2d6286, 0x734d81bf, 0xa0b09357, 0x037f45ed, 0x4ed53abd, 0xacf4dd76,
+    0xf773fecc, 0x4f633039, 0xf65a6aa6, 0xba0e6dca, 0x0b240c6c, 0x8eb721b7, 0xc5f894de, 0x7ec773b9,
+    0xf99523ac, 0xa5054eb9, 0x658d915c, 0x096f887e, 0xbb635341, 0x4e781b03, 0x7ae24806, 0xdd9f6169,
+    0xa383be7f, 0xd6fedee4, 0xd530707e, 0x2499a497, 0xd3eebf9d, 0x27fd49a1, 0xa2241895, 0xe6555265,
+    0x723c942f, 0x5d6ce064, 0x047b2c47, 0x3825eee5, 0xb3e4e7da, 0xbcbc9da9, 0xad0d663e, 0x176238d8,
+    0x394b61f3, 0x50b9fdbe, 0x4bd3b9f3, 0xdf54df98, 0xb563b893, 0x7b7ea7cc, 0x194e35d6, 0x32fcfaee,
+    0x830c9c3d, 0x424bda33, 0x27acaff5, 0xa65e63e7, 0xaa010fe4, 0xde4a1d1c, 0xa2d0241a, 0xd370b3ab,
+    0x12e0bd21, 0xde3a5a62, 0x069bd145, 0xb5056b83, 0xd77c76b7, 0x9f9109c3, 0x8328ae67, 0xa5e50a74,
+    0x375817c8, 0x268002b7, 0x2c6b6197, 0xf17b5e5a, 0xd0755d4e, 0x3c8b633e, 0xc57b3955, 0x594fa54d,
+    0x393a9cb4, 0x45a3390e, 0x9ff8d0c4, 0xc11db86f, 0x7da0b8ff, 0xe141d135, 0x6c007fe9, 0x2b314856,
+    0xff20c40d, 0xa40325e4, 0x6d2aeb27, 0x0b04ce50, 0x9ba29232, 0xacb1100f, 0x5e3b5c36, 0x1eaab1e1,
+    0x92351efa, 0x49647c21, 0x68bcd5cd, 0xffd1363e, 0xd1b36a9a, 0xad5db8e4, 0x957ac2c6, 0x49673057,
+    0x79aed192, 0xbc51f9e3, 0x770cbf43, 0x4b4c70c3, 0xce82261b, 0x2a53329f, 0x95765f8d, 0x6cb65069,
+    0x40229dc4, 0x9caf9878, 0xd169ae41, 0xc651e84f, 0xcfbf826c, 0xf8d169ec, 0xe47ba5b6, 0x11826521,
+    0x846f6381, 0x2eccb7df, 0x27c91d78, 0xe6d02793, 0x1dca628e, 0xf08dae60, 0x70cf8455, 0x0c769bd9,
+    0xda932ca0, 0x60dcd0f6, 0xc4733285, 0xe2d6a826, 0x8cf34645, 0x0d4587cc, 0x88ce7924, 0xe9418514,
+    0xc12afa57, 0x161e53d4, 0x5869d21c, 0xf5e12896, 0xef4ffb9e, 0x4a632a42, 0x2cbefae2, 0xec61356e,
+    0xf3fd0f0f, 0x9c11de7d, 0xe939e2cc, 0x15ce150e, 0xdd100393, 0x8a923c86, 0xc9508487, 0xa86e45b6,
+    0xb8a7124f, 0x7298f1bc, 0x85ccfc41, 0xdf08a163, 0x776c05bb, 0x04137670, 0x4b66d21d, 0xba59aaff,
+    0x00000000,
+    0x66bc0857, 0x461e98be, 0x9254dfdf, 0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d,
+    0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000079571717825\
+                          56586274486115970349133441607298412757563479047423630290551952200534008528896 */
+  { 0x00000000,
+    0x7455fb2c, 0x4cba287c, 0x089fbf47, 0x37a02e33, 0xd6378ef8, 0x1cf3c575, 0x9193a215, 0xa3f7ad75,
+    0x9b94a1b5, 0x9a39dc3e, 0xe83d6403, 0xa1356bdc, 0xe34f0a59, 0x8487a1b5, 0x0a11c1ff, 0x3eab239c,
+    0x11abef4c, 0x45c263bf, 0xf494e8cf, 0x9a8c0937, 0xb319c50f, 0xa260cb8c, 0x7c6fbcc1, 0xf826a338,
+    0x597a3f01, 0x214f9e8f, 0x088d7035, 0x08b09da8, 0x0303e3d1, 0x9802a3c9, 0x19ece70c, 0x5dd38fb9,
+    0xf3057203, 0xcf45153b, 0x9b3c0fe9, 0x73e5f3a5, 0xa6e8a0af, 0x68ce722b, 0x5efb16db, 0x44c6f39e,
+    0xe2d44c0d, 0xf458bf4a, 0x16636c5a, 0x1b1d8d33, 0x4ffff01a, 0xe335bea0, 0x63ff7015, 0x215d58c8,
+    0x61e9aef0, 0xd89dc7bb, 0x421c062b, 0x2be02e2d, 0x91872e0a, 0xc1650f4f, 0xba2fac7a, 0x84d4e39e,
+    0x31097292, 0x145fb825, 0x15d29d14, 0xb1c0791d, 0xecb26793, 0x82c5faac, 0x139527d5, 0x05f688b9,
+    0xcaa518f0, 0x4b9c1909, 0x2ab34ecb, 0x78fe2ad8, 0xbfe19110, 0x4058bd42, 0x109a995d, 0x8ceba8da,
+    0x24d01aa4, 0x90708a6f, 0x5eb02a47, 0x802c2a47, 0xac75694e, 0x46915750, 0x27cd4fe1, 0x1cd3a2b8,
+    0x216c3d39, 0x026c345c, 0xfa721d31, 0xf8abe7c6, 0xb41bcaa7, 0x390f63f0, 0x51edd16c, 0x459d0b7b,
+    0x2940ebfc, 0x99524b7c, 0xdfdbbb35, 0x8c8cb09b, 0x33338021, 0x4507fcef, 0x1ab6f336, 0x5dde2c45,
+    0xdff702e3, 0x20c6ce03, 0x09690b28, 0xdb1fdd63, 0xda4748e8, 0x8795d0b1, 0xf09ef6f6, 0x3d772331,
+    0x5f752a75, 0x48097740, 0x6f238532, 0x28c0d30a, 0xeb848b64, 0x7bb31289, 0x79651341, 0xe973ea55,
+    0x04e260b7, 0xa3ed33f0, 0x008fbef8, 0x71b99c71, 0x3cfb9b5d, 0x1a74ff7c, 0xad05fb56, 0x4dce6968,
+    0xbdaf39c0, 0xca635ad1, 0x9c0a0d19, 0x5b148e4b, 0x07628a76, 0x44cbeec4, 0x2f037f8d, 0x3da80eb7,
+    0xa6b93af0, 0xc0f6cbda, 0x80150818, 0xcb39663b, 0x54555622, 0x922b4594, 0x21da7e15, 0x16b27ee8,
+    0x7868f649, 0x103c7c85, 0xff50bf0e, 0xc914e199, 0xb9799ca4, 0x753444d0, 0xaed56ac5, 0xcebdbafc,
+    0x40cd7989, 0xd9298eec, 0xdd818bba, 0xd5e37133, 0x3235d357, 0xc624e693, 0x4e058668, 0x7a1b21bb,
+    0x1cc8ad6b, 0xb7bd247d, 0x23f47d02, 0xfa942794, 0xe4b353d1, 0xf05713a7, 0x2321ba4b, 0x95af28ca,
+    0x2d340f55, 0xad489b7c, 0xf0fd8b7e, 0x69526177, 0x66ba3117, 0xa08c9479, 0xa38e2c5a, 0x20c27b3e,
+    0x0114d9f1, 0xbda3e5a9, 0x0a45dba0, 0x9e7a1197, 0xe910fe13, 0xb20fd2e5, 0x0de1288d, 0x178be1c6,
+    0x6326dc84, 0xa359fa4b, 0x1d3717b2, 0xeef1594d, 0xc06d7977, 0x7afb2630, 0x16f28752, 0x197d8d87,
+    0x7baffcc3, 0xfa984132, 0xb72f6add, 0xce2c9b69, 0x6c75e997, 0x54541caf, 0xd75c14ec, 0xea20cb57,
+    0xbe4bd547, 0x1f42aa32, 0xa00c3de1, 0x58839db8, 0x6c75c48e, 0xca118996, 0x4620ee83, 0xf1068e69,
+    0xcfd7a41d, 0x70927f79, 0xe43dad88, 0xb056507d, 0x81f0f750, 0x606c4b0b, 0xeb392e02, 0xff393e09,
+    0x277ff1bd, 0x618938fb, 0x5675a5c8, 0x83737d52, 0x3930f044, 0x13eb596b, 0x11324702, 0x6d56f5a5,
+    0x078f67ca, 0xbfd0f4e7, 0xdfda577a, 0x43eb9dae, 0xedc422f4, 0x06ca27a4, 0xa6800759, 0x71c4759f,
+    0x712d50cd, 0xc7096583, 0x728624bf, 0x3802b40c, 0x19a5a23b, 0xe1d7678a, 0x27b892fd, 0x171d89dd,
+    0x843acefd, 0x93ffadf5, 0xc25f32fb, 0x6c2e49ca, 0x6117d04f, 0x8e97dab7, 0xef284b8d, 0xbdb8867a,
+    0x9ad7f907, 0x184290c8, 0xf7afdbdd, 0x102d2fe8, 0x40e03306, 0x99f850c4, 0xcaff4d67, 0x68bc02d0,
+    0xc17c57ae, 0x951eb97f, 0x05ef91ea, 0x53a5db31, 0x086dc8d8, 0xe69b1bcd, 0x880df058, 0x0c5578f8,
+    0xb8a4392a, 0xe3a29b32, 0x4eea542f, 0xf23f8c04, 0xf4cc3588, 0x6e972e37, 0xe4fe64b8, 0x234d57e9,
+    0xb39b95bb, 0xe163704f, 0xff298f74, 0xab135f38, 0x6b825b26, 0x76e2361a, 0x44b391db, 0xa47c1a70,
+    0xd8798877, 0x5a0a2a43, 0x63419d7b, 0xb2170ebc, 0xd6591c2e, 0xb8da070c, 0x29e9b6d7, 0x8e723e4c,
+    0x9f8a3b19, 0x05247978, 0x2da4a8c2, 0x54192dfb, 0xe857398d, 0x9b3e020a, 0x85472959, 0x2de1a947,
+    0x6343c56c, 0x27627dcd, 0x303c9702, 0x384d970a, 0x97c4759e, 0xd4d83f01, 0x197f62dc, 0xd56b3849,
+    0x2e090c0f, 0xda86eaa2, 0xf371b5b1, 0xe6409dee, 0xb80bf9b7, 0x09927475, 0xd43e09c6, 0xdb478212,
+    0x0bf9500d, 0x73c0587e, 0x955d4876, 0x730ed997, 0xc9636967, 0x61c16c00, 0xc46d7a3b, 0xb3f689a3,
+    0xf380494e, 0x13199045, 0x95b71051, 0x859d6c90, 0xfb371678, 0x8d666189, 0xfc9a13d8, 0x09af063d,
+    0xb1e65394, 0x793f5dae, 0x27c8ea78, 0x5c9bdbd3, 0x1663aeb7, 0xc009a53a, 0xaa690a3a, 0xfec1c82c,
+    0x91d9fa17, 0xb89aa36c, 0x28a91c85, 0x00398cee, 0x74c102f0, 0x2f8fcc03, 0xe0ff2e05, 0x994597d1,
+    0x039f3f66, 0x442d8ec0, 0xb94b6d05, 0xd4443a04, 0xd09d98a9, 0xe7697d97, 0xf2fe11f0, 0x5577cb8b,
+    0x04c627ff, 0x93124dad, 0x74fc079b, 0xd4e63647, 0x1776d74e, 0x8ac2addc, 0x332a171f, 0x78e6fc60,
+    0x6070b6d5, 0xf61d49e7, 0xc1e61a66, 0x1b2926cc, 0x6fc0c0a0, 0x52046148, 0xb1e02b95, 0x5b9f02b8,
+    0xe81ad451, 0xde48ae44, 0x1d990491, 0x4f683d7f, 0xd62ac0ac, 0xf45c8547, 0xc7c69669, 0x5eb7ac51,
+    0x9c709d90, 0x5ac1d0b2, 0xd90a07c2, 0xec0c6d72, 0x8dd48ec3, 0x3c73ac51, 0x095b3ec9, 0x06a59ac0,
+    0x28681d83, 0x72a0f2b6, 0x4ef63016, 0x02205f10, 0x5dbed7be, 0x7c9dea9b, 0xa9a18d44, 0x5c8a4b8a,
+    0xab01a5c5, 0xa72506fc, 0x272cb352, 0x5904309b, 0x3464d2b4, 0xb3de480d, 0x9560ed61, 0xe51c0400,
+    0xa1409d0e, 0x3f4b7f89, 0x299d6cea, 0x4aa4b191, 0xec48f05f, 0xdd7fe53b, 0xe9b92c67, 0x4a2d25c2,
+    0x349a67f7, 0x2471404c, 0x93a841f3, 0x11194453, 0xbf29c399, 0x158397c3, 0xf8fab967, 0xa086b6dc,
+    0x6474e9bd, 0x01d4635a, 0x70ea1e54, 0xf1118a10, 0xbbcb00fb, 0x4d9f2956, 0xd6a27bf6, 0x41822f4a,
+    0x41b20ca0, 0xcc9cb536, 0xa4629067, 0x94d20eca, 0xc0b1080e, 0xadc6135e, 0xcd1cd129, 0xa7980e52,
+    0x1b6666fa, 0x836c5e3f, 0x42f90936, 0x8c4c7421, 0x18c97eef, 0x4d588781, 0xe9303933, 0x4bca039d,
+    0xf2ba58fd, 0x0aa9c568, 0x088d9ae6, 0x4dd79065, 0xbb1e304c, 0x5f3bdf75, 0x3e8a18b9, 0xa5a7bade,
+    0xc3a143e5, 0x3b263f1f, 0xb6a8857f, 0xead992c5, 0xa0b551b5, 0xe875ef43, 0x1fde17e7, 0xf812a508,
+    0x1ac13c95, 0x9e388dee, 0x09e09ff6, 0x5a7f4433, 0x66ebce9b, 0x8c48e362, 0x105c877a, 0xf847a77c,
+    0x01eac74f, 0xd7687310, 0x9b06448c, 0x19fdda2c, 0xf8c6e56c, 0xa9f4f5cc, 0xe8d2b1f3, 0x8157075d,
+    0x73a22d61, 0x2e2eaae4, 0x54811021, 0xcf30b229, 0x6d9107d9, 0xf2e009c2, 0x107b0305, 0x039605b2,
+    0x514fb870, 0xefe547fe, 0x143a6f1d, 0x6c36f7a9, 0xeebb8b5c, 0xc4d2c162, 0x7d365156, 0x6e33ce53,
+    0x47b238d9, 0x7369517c, 0x852056cf, 0xd3b37260, 0x8513cac7, 0xa2f05039, 0xddf067b5, 0x93f0c699,
+    0x4d192d0a, 0x701fa598, 0xf2440aab, 0x8fb8480b, 0xcdfe305a, 0xabdb0b31, 0x43fd5a47, 0xf62a9a7c,
+    0x7f7bcddc, 0x24151f07, 0xfc0a605d, 0x4c689e69, 0x72c38b57, 0x28ab108a, 0xce144f29, 0x2726f155,
+    0xa63cd0e5, 0xe9a60431, 0x99b946d2, 0xd3699517, 0xad308f61, 0x461f0010, 0xcf83be8d, 0x5db7fc48,
+    0xd19b16ab, 0x609628ac, 0xdf1075f7, 0x915aeb52, 0x3b4f743b, 0x3a4509c4, 0xd0b241dc, 0x3d2bc88b,
+    0xa69721d1, 0x92317121, 0x44556852, 0x14f8604a, 0x8b444514, 0x764f81cb, 0xfb6b4952, 0xd2ef3453,
+    0x81c99f76, 0x3817a380, 0x95c05e04, 0x5b1a2379, 0x912f73a2, 0x31cef458, 0x890978b5, 0xc43c1820,
+    0x23910b46, 0x375ac810, 0xa84568b0, 0x316f53e8, 0xc56b76a7, 0x3283cccd, 0x7ee35e16, 0xc6546b70,
+    0x0cdc06fc, 0x703b9197, 0x3243c2a3, 0x144cd1b0, 0xe52ae4f5, 0x740bee6e, 0xc3601742, 0xb71bd0fb,
+    0x40b3ebac, 0x56ac4c7b, 0x1d40f51e, 0x614ecc5e, 0xdc5fdb5b, 0x9610097c, 0x79486b84, 0x5b101839,
+    0xf2f9f908, 0x19dbd12c, 0xe8052025, 0xb86c34d3, 0xd5cdeada, 0x9a825013, 0x82618b58, 0xf0c93b4c,
+    0xa7f3aada, 0x17a91f78, 0xb231ae48, 0x92f1fdac, 0xcc09f90a, 0x45672bf4, 0xb2ff69a5, 0x78801f87,
+    0x6a7c7c26, 0xaef679cc, 0x7368e9e4, 0xfd8203f4, 0xa49ced7e, 0x45b24aef, 0x7e1db015, 0x12951432,
+    0x4ba653e2, 0x6cfeef54, 0x30d14ff7, 0xa2494dcc, 0xcad23aa8, 0x5d3e95f1, 0x5d65696e, 0x30ef0195,
+    0x3f9da5b4, 0x643f301b, 0xb3c56309, 0x3164b2f5, 0x886d76f7, 0x31d55f7b, 0x2dea1510, 0x49fc56ec,
+    0xdd0ab795, 0xeab67aac, 0x7a322fb7, 0x8751dbba, 0x40006ba0, 0x2a567ed0, 0x4df5e342, 0xa717ad74,
+    0x9dd4d153, 0x6711587d, 0x9671594e, 0x99443f4f, 0xd8254bed, 0x72abf320, 0x6509081b, 0x3a6acf49,
+    0xc604ecbc, 0xa43f80d3, 0xcb7873be, 0x077c380a, 0x8471e067, 0xb640eca9, 0xcf1dd7d3, 0xfd8a301b,
+    0xc76e3134, 0x5d9c7ff6, 0x5ca5c655, 0x169e1e1e, 0x6a56fb21, 0xac58cbf5, 0x4acb7508, 0x55efb337,
+    0xcd0a5ec7, 0x20374bfe, 0x8f8fd733, 0x68616946, 0x266ef368, 0xfee3e9a8, 0xe5619117, 0x9200430d,
+    0x643dc3f0, 0x803ce050, 0x534f452a, 0x42eccf79, 0xaefa9daa, 0x5b0204ad, 0x86772f8d, 0x88bfe477,
+    0x4348212d, 0x8281b6c9, 0xc462383f, 0x3bc8b6b8, 0x8609881d, 0x116d68d0, 0x2961b348, 0x27d98e81,
+    0x164d5ac6, 0xfcb204a7, 0x9ccba721, 0xd73b325b, 0xb73adb66, 0xea2e0d6d, 0xfb0102c5, 0x19ef1f34,
+    0x8378a122, 0x7d781332, 0x4415c4ad, 0x81e37b44, 0x31efc472, 0x1db922ab, 0x5b6e1eaa, 0xec396a4c,
+    0x4077b4f9, 0x7346d116, 0xf70f8b31, 0xd77c78c3, 0x47bd6f3f, 0x8f3ecdf2, 0xd943e3c8, 0x5243f052,
+    0xa2994f48, 0x19448042, 0xcbbafcd3, 0xf7ff6338, 0xb7b2658a, 0xf973a7e2, 0x6a09392a, 0xea2580bf,
+    0x885b1133, 0x81e55e9a, 0xb60124d2, 0xa4112d33, 0x36d80c34, 0xde2872e6, 0x0d280ef2, 0xa6429f55,
+    0x160360d6, 0x5e8e5a2f, 0x0b56b93e, 0x0af68235, 0xbcc0bf77, 0x5cf9bde5, 0x2103e44f, 0x5ff5e2d3,
+    0x3658114e, 0x23a77183, 0x260f4bab, 0xc68dac25, 0xe881965e, 0xce19cfce, 0x8b4693fe, 0xdd8bff32,
+    0x739ad8c5, 0x898a55d3, 0xa9f19e2f, 0xf107d55c, 0x493f0f8d, 0xf9a75e50, 0x81b1b7ac, 0xf495c722,
+    0x269d9a30, 0x0afabd8c, 0x62bfad89, 0x90d7fe8c, 0xa6be19c9, 0xcf681310, 0x70b22282, 0xf1155b00,
+    0x73a367c6, 0xc631ebbe, 0x14cbe7b1, 0xb22588f8, 0x04a004a2, 0x4721a08f, 0x9d8e5c8e, 0xf89b3f3b,
+    0x88b2891d, 0x8fcc43ef, 0xe7d8c0c1, 0x4862d6c1, 0x3be5bfc8, 0x732c0649, 0xc2457334, 0x73fb73f3,
+    0x250a71f5, 0x5fbd0d5a, 0x37025977, 0x299a82ea, 0x456074e4, 0x69223de5, 0xaedffe23, 0x3c1b6ade,
+    0xbd7cd04e, 0xb6683ab7, 0x3e04bea3, 0xaf949150, 0x51b94a1e, 0xf948aeec, 0xfff3f444, 0x76cee915,
+    0x90b1d86b, 0x45a0291e, 0x428b1f00, 0x3e0ed7b4, 0x745c0348, 0xe26b66bf, 0x057f44f2, 0xe6b05671,
+    0x75659e9f, 0x41f5e318, 0x319cad09, 0x765d277e, 0x2402db10, 0x98c422fd, 0x9ad6381e, 0xf8970d62,
+    0x2ed9a64f, 0x474a18c4, 0xa375ab48, 0x3f5b6be6, 0x8b711ab4, 0x8c66025d, 0x5e98a09b, 0x8d433509,
+    0xcb438d8f, 0xa2fad68b, 0xc1705429, 0xcaf37389, 0x5d5cc454, 0xa434e1b1, 0x48be1c4a, 0xab0b0c55,
+    0x5a2810cf, 0xeeb14a9f, 0xce3b5e89, 0x32611dd9, 0x8a7be32c, 0xce77edaf, 0x70a6fece, 0xa8a730f6,
+    0xeedd50ba, 0xa5e98581, 0xd75909ae, 0x300d0659, 0x79f95afe, 0xd1583da5, 0x83e223be, 0x92fea75d,
+    0xc9f0d904, 0x96244196, 0x48bab8a1, 0x6c5f5834, 0x56e19f4e, 0x030bb052, 0xf3c561aa, 0xa350941c,
+    0x348e441e, 0xb07467cb, 0xbd94815b, 0xdb04f67c, 0xb4f1e748, 0x087b7ebf, 0x453a2b39, 0x6b00e05d,
+    0x1413740c, 0xd9e3ac60, 0x91ea5bef, 0x744e82fa, 0x6cb8948a, 0x2f25fe3e, 0x633856ee, 0xe3405d68,
+    0x27f2b5bf, 0x32c7f73d, 0xefc33106, 0x0bb63cee, 0x53c12dda, 0x0898f5b0, 0x4f419502, 0x9e9c8ee3,
+    0xb37c8ced, 0x8d29983e, 0x8fe4fa2f, 0x1dfb5d94, 0xce4b93d8, 0x5da730d8, 0x997152ed, 0xf47e9031,
+    0xefc094f4, 0x0e7edf17, 0xcf717635, 0x046d2e48, 0x79da90d4, 0x50b7048f, 0x71326fe0, 0x4a01c0fd,
+    0xbdc1152c, 0xfd11bfd5, 0x8fe063b5, 0x7c3d337f, 0xa7f52780, 0xf940ea28, 0x22afd945, 0xfbe74927,
+    0xa9dd5523, 0xe24c38c1, 0x6eaae198, 0x2805a7d2, 0xacef65b8, 0x60783d42, 0x92d3909b, 0x86b5da6b,
+    0x68aa315b, 0xfd3a2702, 0xfa786a9c, 0x0b98aa61, 0xa98d59a9, 0x0cebaa9f, 0x544f5cba, 0x065c3383,
+    0x55b05968, 0xcb02ce90, 0xa0e49aa3, 0xe2a92e9f, 0x16dcd0ee, 0xcbc85f3f, 0xd6f2159e, 0x2fb1daf6,
+    0x07a159d5, 0x0e78a7b5, 0x65823103, 0x24504d76, 0xa10b7e87, 0x44d9ee74, 0x569259ba, 0x315bf326,
+    0xd74b3f6b, 0x2ab6d860, 0x84c66adc, 0xba804750, 0x2f4dbc4a, 0x3de1037e, 0x5d3c01c6, 0x44b63ff3,
+    0x5c4bf8d1, 0x6c5ffa56, 0x320506bd, 0x0ee78d0e, 0xf3f55ec6, 0xca87eeda, 0xd9fd497c, 0x9a612166,
+    0xf301a5b7, 0xf1ab84df, 0x54c7f2ee, 0x6542b8ce, 0x7836056b, 0x552f9db6, 0x276b0e57, 0x96485c5c,
+    0x87c7548e, 0x022f75bc, 0x2b6d4e94, 0x98342e71, 0xda6b3147, 0x57391bb4, 0xc25c894e, 0x69dc3688,
+    0xeb320cb9, 0x08b60087, 0x7e155144, 0xd815d72c, 0x09b7ab26, 0x9e5a0b83, 0x9276917e, 0x83efd594,
+    0x29a7b673, 0xca694c2d, 0x85d65183, 0x30371031, 0x2d70518f, 0x0f4eb5e4, 0xe93f0bfd, 0xd1425819,
+    0x405e01de, 0x12a645e6, 0xa919fbb1, 0x60fd31eb, 0x204e1ac6, 0x2fb7bbf4, 0x02bab5a9, 0xeebc61dd,
+    0xa78877a0, 0x66357712, 0xc88698f2, 0xf88d97fe, 0x2cebfc89, 0xe399d9b8, 0x4e8286d2, 0xafcf9977,
+    0x20e73342, 0xc814818e, 0x30d69b50, 0x6cc8c096, 0x55f4a66e, 0x2e033be0, 0xb6294d65, 0x2fd7df1f,
+    0x96b6f028, 0x23ac328c, 0x7ebca4c3, 0x0eaa73b3, 0xd737accb, 0xdfa6812f, 0x0d83ba00, 0xed43c19d,
+    0xa4718091, 0xf8a9da9b, 0x00b1748e, 0x09f57438, 0x7d08b41d, 0x08f560ad, 0x05e2f851, 0x6b830e98,
+    0x19e1ec57, 0x767b3a1d, 0x9d170b11, 0xb79d209e, 0xddbf68fa, 0x4d03b86c, 0xa5732992, 0xd7b1d25a,
+    0x19a8a330, 0x75c1f40a, 0x779bb365, 0xc3fefd6f, 0x41a83419, 0x80eb6ba3, 0xbc7994d8, 0x1bc10ac8,
+    0x81fe4b62, 0x5d4b7f08, 0x8b69ff39, 0x0104802c, 0x2e42681c, 0x66ef763d, 0x282bd5a0, 0x9a71918d,
+    0x00000000,
+    0x335e042b, 0xa30f4c5f, 0xc92a6fef, 0x098a562d, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036,
+    0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000039785858912\
+                          78293137243057985174566720803649206378781739523711815145275976100267004264448 */
+  { 0x00000000,
+    0x99eb8758, 0xde0467ba, 0xdfac2557, 0x3d6d14e7, 0x70f93045, 0x6c25b1ad, 0x2da8b1c4, 0x472e5248,
+    0x4da3998c, 0xf456c0a2, 0xe8917b22, 0x322744d3, 0xefbc8d3e, 0x2a0a26d6, 0x41bb0c94, 0x65182738,
+    0x4aa9ee00, 0x239a8374, 0x410eee18, 0x7be3def9, 0x74801b08, 0x7dea1704, 0x32d5e7b2, 0xb439d86f,
+    0x37287016, 0x42a348a4, 0x0b1ffb81, 0x13731588, 0x3d81bce0, 0x5363d671, 0x2376bbc1, 0xc8f74a72,
+    0xebcc3b72, 0xd85a0b20, 0xdda66fa8, 0xd2703176, 0xbaf1cbad, 0x4cd1a08a, 0x79f10301, 0xd070bc3d,
+    0x7e0402d8, 0xfd8626e8, 0x68b6655c, 0x15b0b118, 0x6d24588e, 0x9ebca18a, 0xf60e66bd, 0x1bc61488,
+    0x23347496, 0x907a7bcd, 0x64fbbad5, 0x68eaa660, 0x73fd32bd, 0x16def711, 0xf3c50b42, 0xf0227c99,
+    0x19fb956f, 0x2ae6b004, 0x80236aef, 0x11610b32, 0xead9b4ad, 0x8ca0e23d, 0x7d671fd6, 0x03ed411d,
+    0x41f05bfb, 0x4133e1e9, 0x443c7ece, 0x7ba038b9, 0x2c1ac288, 0x592e3484, 0x5e7b1c0f, 0x7dec3226,
+    0xc2c35073, 0x8aafc553, 0x7df5e9bd, 0x6ac89f7f, 0xf4c09978, 0xf061c954, 0xb2da1e83, 0x462786cd,
+    0x894d9fb5, 0xb2a5c6c0, 0x096aac84, 0xac3c5421, 0x93cb4caa, 0x177e7991, 0x3edd3db7, 0xaab36993,
+    0x425295f4, 0xf9b4116b, 0x0871e34a, 0xa5873dc2, 0x90d660ec, 0x8da552f5, 0x84a922ff, 0x07320e9f,
+    0xc8ea988c, 0x2b395081, 0x03893b07, 0x5c9a6687, 0x29081126, 0xf67d7863, 0xa4ea348b, 0x33b51307,
+    0x5ece2ad0, 0x07201804, 0x637cfcfd, 0x6e8ed5cb, 0x70cf35ce, 0x9417f31f, 0xc56dd214, 0x28d828be,
+    0x47f0aa97, 0x5c44c554, 0xcc6baac8, 0xecc22172, 0xebc90fa0, 0x9e0177d1, 0x33140b18, 0x8f8f15d8,
+    0x8c681d59, 0x4afa7436, 0x7cb5db1f, 0x905878c8, 0x04ee0457, 0xe1a4a4d6, 0x7af6e947, 0x8ce042d8,
+    0x5e969dba, 0x44a45ca1, 0x098a7086, 0xdd36b492, 0x6a4d6fb9, 0xb162e61a, 0xb4b002d0, 0x952e4692,
+    0x9137696c, 0xf9cdb6dd, 0xc6c76ade, 0xfade4903, 0x84c553c9, 0xc82bb7e1, 0x05b26f20, 0xd61c4bce,
+    0xd22b1a77, 0xa35096de, 0xfce638fe, 0x1c144bf1, 0xd24952f8, 0x887a0051, 0x064e1f85, 0x93e105be,
+    0x6ebc8583, 0xaee67c54, 0x0f441f5b, 0xd62ee078, 0x8ae484cd, 0x7716cc3c, 0x60451a6e, 0xe3e973d1,
+    0x8249e068, 0xec7e6188, 0xf70d1d96, 0x302d3856, 0x742021ea, 0x8cf46fa6, 0xb59394aa, 0xd01d2227,
+    0xf983e561, 0x775b844c, 0xe25c244f, 0xbe946446, 0xc028dcf3, 0x1fac0b52, 0x885c2e8c, 0x5d7f3790,
+    0xadea894c, 0xdd209eeb, 0x16b047b1, 0x475e6ebc, 0xf81d0e26, 0xa5b42575, 0x4627315c, 0x68a33abf,
+    0x2e5bdd52, 0xc54d10af, 0xc57c7aa1, 0xb4f6051d, 0x46e46262, 0x12ffabe8, 0x0c834acc, 0x92d68220,
+    0x561fed4d, 0x89c751fa, 0xb043587b, 0xd3231bd4, 0x9c532d11, 0xa44b4572, 0x9388d93a, 0x57f1481d,
+    0xb3898b53, 0xceca6739, 0xee0e7fab, 0x093a55d4, 0xfc9b6ad6, 0x5f4d2146, 0x73649ec4, 0xbd36ae8e,
+    0x8639623e, 0x3e13c00c, 0x9f44b8d4, 0xc409e0bd, 0x6edc67f0, 0xe8c9e96a, 0x574df5c1, 0x5dd3fcd7,
+    0xdd45401d, 0xa8344f06, 0xf6615911, 0x154bed0e, 0x913e6abc, 0xbab83e40, 0x1bb0db98, 0xc0f98fa7,
+    0x407ec9a9, 0x7984eaca, 0x3a7c3ef9, 0xc7bfcb24, 0xca66065e, 0x27b28def, 0xa3f563d3, 0x192e39ff,
+    0x8bc7f516, 0x9294a7fd, 0xd2ff0e2e, 0x85ed4a66, 0xcd8dccfe, 0xb990104b, 0x92b9c962, 0xf8e46dbb,
+    0xbf7b84e7, 0x349037a0, 0x9d279cef, 0x65c8d584, 0xd5aaa316, 0xe56fdad8, 0xd9c65aca, 0x778dc606,
+    0x99483e0a, 0x4ac62ff7, 0x40a1e018, 0x1e8c69f4, 0xbc6cede2, 0xc4df94ad, 0xd8e1b534, 0xedf616de,
+    0xf25ca998, 0xd3a8a750, 0xaaef2080, 0x0ad8f5d7, 0xc29f7d06, 0x65dd6726, 0x44739873, 0xbdb76f49,
+    0xb075a6c5, 0xd022649e, 0x6165cc9a, 0x7a9749c3, 0xef576435, 0x6aa16187, 0xb4c88373, 0x3abf9910,
+    0xcda2e596, 0x9489d04e, 0xc16f8303, 0xf7f86060, 0x3ac6a3ac, 0xab55c1d7, 0xca7f2649, 0xaaf03da3,
+    0x15432288, 0x066a46cf, 0xbcccaad1, 0x94493cfa, 0x4f54bb1f, 0xe432bd22, 0x1b8bd643, 0x5c664677,
+    0xcabd5527, 0x3e3e3ffc, 0x9683017f, 0x6ef7a592, 0x57742d64, 0xfe267e45, 0x9dd73222, 0x69e0bd9d,
+    0x5d7c74c6, 0x87c6e99f, 0x957f0b3c, 0x66a9800b, 0x2f23ad0c, 0xac052c93, 0x21361d10, 0xb2972fd3,
+    0x7c0ddcab, 0xfa5af88f, 0x6c124062, 0x05f363ab, 0x5baf6559, 0x5ead6e5b, 0xf403541b, 0xa3d5b1d4,
+    0x141c0709, 0xc8dee74f, 0x961d89ea, 0xb991354c, 0x17a95d8f, 0xdc90dcea, 0x0621825f, 0x2dce8ffa,
+    0x40eb64fb, 0x63546557, 0x5cd76255, 0xc9b26c67, 0xa7d12ac5, 0xd6cbf2d3, 0x26e18ddf, 0xfb190767,
+    0xe43ee1ca, 0x618fb8db, 0x9af18c80, 0x8a480d8a, 0x31ea4728, 0xea2104ee, 0xce41ac08, 0x0ed4c72a,
+    0x3e078f0f, 0x73205518, 0x853e0a67, 0x60b77c24, 0xc5e1cdf8, 0x65fe084a, 0xce54c6ca, 0x7a42613e,
+    0x067bec6e, 0xf51cbcb0, 0xeeb7b663, 0xa0c2068f, 0x65813a46, 0xacbc6410, 0xf07cd107, 0x20524aca,
+    0x85f59680, 0x47238282, 0xc44e62e7, 0xc601ac36, 0xae2463f9, 0x11eec2b3, 0x90b2cfd2, 0x94bfb5b9,
+    0x85eb485e, 0xcfc40804, 0x6f006659, 0xf3583d0b, 0x1b033151, 0xfb391166, 0x3b4f42b8, 0x1e560599,
+    0x01a5088e, 0xc0fec477, 0xf29170b2, 0x9d1f30c6, 0x20789f26, 0x033ba820, 0xe375ec2e, 0x34ad5284,
+    0x42fab4e7, 0x1f5203d8, 0xb425d14e, 0x71b2e82c, 0x3ec1b46c, 0x9ad01077, 0xa962e797, 0x577d2aad,
+    0xaaa76ebe, 0x5f3ed31a, 0x5641deea, 0xef067823, 0xce494b2d, 0xe42123a4, 0x093d5238, 0xaede1c3e,
+    0x1be6fac4, 0x3d54348f, 0x8d269863, 0x1ba5775d, 0x9e03da06, 0x984a0db7, 0x62e0a159, 0x89a24b5c,
+    0x7fd54215, 0x919c0045, 0x67916238, 0x4e48d3da, 0x54a647d0, 0xf3740c40, 0x8b6a919f, 0xe2d1e7ca,
+    0x4fd17c91, 0xaa177517, 0xc1dd0f82, 0xcd8b1b7e, 0x9aed2b1b, 0x71511bd4, 0x42a2d2ad, 0xdb554f4a,
+    0x369731a9, 0x45aa3fa3, 0x1b6443c2, 0x1258c0e5, 0xa6e1bbe5, 0x03578af2, 0xc065934c, 0xcf982645,
+    0xc5f51b14, 0x296e2267, 0x1cec2e17, 0x6e335224, 0xafca1ff4, 0x3ed95a14, 0x7a231637, 0x610e7728,
+    0x60aeb957, 0xe0e4de14, 0xea6c5408, 0xebb411a4, 0xb380e6dd, 0x95113f3b, 0xd2ba0cc6, 0xc1d59d24,
+    0xa8331166, 0x43031c86, 0xe8bcacd4, 0xa082e6e6, 0xb1f9d3e6, 0xda0c33e8, 0x6610f001, 0x476275c2,
+    0x9d8be4c0, 0x9048d254, 0x9e4c2b32, 0x15fad929, 0x5914f647, 0x0cbec2af, 0xa6ce618b, 0x0dbc3cde,
+    0xe584c26f, 0x6d67637a, 0x7a7c2800, 0x01b8a2c5, 0xa1b7d0ac, 0x55a99ed2, 0x652380bb, 0x2b863d23,
+    0x17af2882, 0xacd6a4ef, 0xb8aebc9b, 0xec7d46a8, 0x73d4aa99, 0x2c25db2b, 0xf7ecccd1, 0xb7642a04,
+    0x18d2cc90, 0xcfdd1707, 0xba8b9c4d, 0x02594372, 0x17a1cd0b, 0xabf2fbd9, 0x186bb466, 0x31b6f343,
+    0xe280643b, 0x9f06e13d, 0x7ece3d84, 0xad069950, 0xc8ee4dbc, 0x0ddfbdec, 0x420edd91, 0x2007222b,
+    0x159f6349, 0x488f7a9c, 0x6c0580da, 0x28fe1864, 0x0fbc0163, 0x330b2357, 0x84a5ba8c, 0xba71792c,
+    0xde7f7fd5, 0x5c9515f8, 0xc9b7f0a2, 0x70cea90f, 0x744c05dd, 0x83b48f2f, 0x03f3bb62, 0xdfcab8e1,
+    0xb5c4ec3d, 0x31eaa6ad, 0x6b558566, 0x0be5b49d, 0x9ef10b4b, 0xb6468597, 0x8ec94e6f, 0xed37d162,
+    0xec94885f, 0x403346de, 0x73d83e7e, 0x13ff0b3c, 0x59666e34, 0x6ac59c23, 0xcb431774, 0xc350100a,
+    0x4e01f33c, 0x5c893d0c, 0x176d18bc, 0x9cf3b2ee, 0xb7ad2aca, 0xf8c16e71, 0x6ecbce64, 0x6066f42d,
+    0xb65c235f, 0xbf163560, 0x9df97472, 0x4ee660b0, 0x56d3a012, 0x23da7f35, 0x42fe96d6, 0x1933f930,
+    0xa867b0fe, 0x877146d5, 0x019f815d, 0x3298ef9a, 0xb233b14e, 0x1424e554, 0x04bf06e2, 0x09a165bf,
+    0xdb8b7259, 0x14d53cd9, 0xe709c8f7, 0xb9fe5356, 0xb407135b, 0x24085036, 0xbc6bdf96, 0x735f5308,
+    0x3d69e4cd, 0x4cfe266d, 0x6d261b2f, 0x514945cd, 0x16d6ddd1, 0x8d98e84c, 0x78071720, 0xdede93a1,
+    0x16a4312b, 0xff5e164e, 0x7dedb138, 0x6d5b1d18, 0xaac67d4c, 0x95446165, 0x59f396e5, 0x63de6a31,
+    0xfe8f274f, 0x4fe59f76, 0xa20e8634, 0x81541c1b, 0x640f92ca, 0x4dc69563, 0xb38dbb74, 0x0142fd8e,
+    0xac4e6073, 0x061cf53b, 0x9be81fe3, 0xa47dd7e3, 0x11719044, 0x6c02707e, 0x9f865a07, 0x2ac85347,
+    0x3ddf1323, 0xc74bf20a, 0x99feef70, 0xa39a5a59, 0x998ec4f5, 0xce257697, 0xa15eab5c, 0xc12e62ff,
+    0x1314114a, 0xd6b22c88, 0xa98f16f6, 0x1cc1f218, 0xb0a906c1, 0xd03d77ad, 0xc47e8817, 0x10b3f750,
+    0xe7eb3869, 0xeb83b19d, 0x6c0d0fa1, 0x0f0a3c8d, 0xa3a814a9, 0x6cd820de, 0x649e20de, 0x1f331b6a,
+    0x673e9a5b, 0x1e2f7506, 0xbe047230, 0x4bc42c38, 0x6ce266b7, 0x2e4f3252, 0x7220e393, 0x081d8ac2,
+    0xeb92854a, 0x30c261cc, 0xfda813d4, 0x1d710ce7, 0x5ea59cb7, 0xcb00309f, 0x9bb18f94, 0xb0e90466,
+    0x066059ce, 0x7daefa65, 0x75acfea7, 0x513a4973, 0x9530b8b1, 0x0d091065, 0x93a3cd7c, 0x03b50d94,
+    0x03db76be, 0x544f89e6, 0x847f27c6, 0x21c85360, 0x296fe577, 0x03bb69dc, 0x007c279c, 0xf6a51669,
+    0x4418b00f, 0x062ea42d, 0x173a3a38, 0xb035c4c8, 0x025a7d4e, 0x785011cf, 0x713a14fc, 0xf92d6b00,
+    0x75af829b, 0xdaa83959, 0xee8cdbd9, 0xd3b4324e, 0x49505023, 0x9fb1d2c0, 0xa25cf07d, 0x4bac4b68,
+    0x7252fd78, 0x4480980b, 0x8c46d03d, 0x049ed76b, 0x7d07e015, 0xdc2c9758, 0x820442d2, 0xcd2e65e2,
+    0xdc788151, 0xc42860db, 0x7b09f03f, 0x8d761c75, 0x6306bfd9, 0x5273da0c, 0xe86747ab, 0xbf3191f1,
+    0xd19a2d4e, 0x0cdcc219, 0x6d9be606, 0x7fe9409b, 0xba8873b5, 0x4d88878e, 0xfd50270e, 0xfc094bc7,
+    0x6fe41af3, 0x3a2c425c, 0x4bd06785, 0xf019457d, 0x6cf082a6, 0xb4054f8d, 0x35a2d461, 0xd6d3adcf,
+    0xa7e56323, 0x7d4e9c87, 0x86336536, 0x71a668c8, 0x631768f3, 0x4d7f43cd, 0xda3fbce6, 0x7aec776a,
+    0x27e49717, 0xa48a1b36, 0x1ae0320b, 0xe06781ef, 0xa8b79812, 0x4b691e89, 0xc7d29eba, 0x88fa18a1,
+    0x1155fd86, 0xcf1fb913, 0xaa3aa6fe, 0xd2827aa0, 0x057520e1, 0x8055126b, 0x4669133e, 0xfa120624,
+    0xb5a1aad4, 0x88c63e5d, 0xeaf536f4, 0xa6b0571c, 0xf6fdbe4a, 0x53368734, 0xf7daa841, 0x39595faf,
+    0x56956616, 0x8241b0d3, 0x49f68ad3, 0x8940324e, 0xf1cd2fb6, 0x2e28a6f7, 0xe776a0ef, 0x46e59b83,
+    0xf638c3f2, 0x319d1de6, 0xbf0bf628, 0x85444d24, 0x1faace9f, 0xe2a07ffd, 0x1b8ddf39, 0xa5f5baa0,
+    0xa3bd6009, 0xfc561fa1, 0x0ca8c3d6, 0x2fd0c3a5, 0xf0a1e99c, 0x192555e1, 0xcaeaf075, 0xd18cfb85,
+    0x9e02ef92, 0x5351369a, 0x733b2bb8, 0xe3989e6a, 0x07f3a9b0, 0x3d30772e, 0x1a7019c1, 0x12753a26,
+    0xaefaf047, 0x5332dec7, 0x9a7d7998, 0x41de83c1, 0x739ba1e7, 0xed6dda90, 0x2ece6649, 0x6970182c,
+    0x239f21bc, 0xb393bc6d, 0x92ceba45, 0x45aaa2a3, 0xecab3c6d, 0xb9f385f2, 0xf9721a86, 0xea11b3fc,
+    0x49bd98cd, 0xee568c8a, 0xca9e441e, 0xd0416109, 0xa8067130, 0xf1c67fca, 0xa577acf9, 0xe15b63a9,
+    0x440a9603, 0x2a05632e, 0x24e68822, 0x80819000, 0x80c95883, 0x6e53fa8d, 0x5efc2df4, 0x53b72b78,
+    0x40bf0c55, 0x7fc2e0e5, 0x970815cd, 0xa9591e63, 0x5bf616f2, 0x42e949e6, 0xa8232a94, 0xb048ce5b,
+    0x0593aab3, 0x58604080, 0x87d454f7, 0xed4a7da3, 0x54b1a37c, 0xc664d245, 0x511a523c, 0x20d9e156,
+    0x881acf0f, 0x6dafbef6, 0xd9abda4f, 0x0de09b82, 0xf863abaa, 0x0b403110, 0x6555faa5, 0x94d7532a,
+    0x77eb9ee1, 0x5f918b78, 0x06d8aba2, 0x03a8447b, 0xc4211b43, 0xa2bbc679, 0xa0555c1f, 0xe98cdf44,
+    0xedd98f1e, 0x4e4003fd, 0x3d1816db, 0x61aebfed, 0x571f66f1, 0x069b2b46, 0x917a6cdf, 0x227b3fe0,
+    0xbdbf9e0c, 0xd8fa81fb, 0xa1876b6d, 0x63f080fc, 0xbe11e67e, 0x4ec925e9, 0xa9539620, 0x2166f834,
+    0x587cdbc0, 0xba182b92, 0xa15b45d5, 0x71f8cca2, 0x407f087f, 0xe29d31ce, 0xd89fdb85, 0xee09c2cf,
+    0xcd359c55, 0xb30db36e, 0x5b7d3a29, 0x87c5f6be, 0xa7825e3e, 0x6afb4b9f, 0xf4d609a3, 0xad97ff26,
+    0x24d144ee, 0xc006cd48, 0x01deafe0, 0xe0a32083, 0xc7e0e011, 0xf3e02b22, 0x0133f8d0, 0x01b4e6c6,
+    0x2d2f03da, 0x8cbf88f5, 0x5ba307b3, 0x9c8faac5, 0x030d0a96, 0x13a22379, 0x4e88702a, 0x1218fec0,
+    0x64da3f93, 0x86d2ac9a, 0xb8152c26, 0xd9e3af9f, 0x468a7948, 0xafd05226, 0x0f539aa2, 0x6aa87d83,
+    0x193d34d1, 0x6d284f80, 0x3d7349db, 0x34f07e3c, 0x3f8061c7, 0xdc1eed4e, 0x578e660a, 0x8f9f581b,
+    0x82646999, 0x5a0be44a, 0xc4e9086a, 0x34c643d3, 0xcfa478ff, 0x098ceecb, 0xe36092f0, 0x17ef719c,
+    0xebd37c2c, 0x28c54eea, 0xdf63cc2e, 0x000b233b, 0x8e91e147, 0x4190781b, 0xb9d05642, 0x346ac6d4,
+    0xdd5d7066, 0x8b9a837b, 0x56a6dba5, 0x27fe5a7c, 0x76131d6c, 0xd73009c6, 0xee629834, 0x3b68636c,
+    0xd3df6315, 0x0d1f95cd, 0x2baa08b3, 0x5174d44d, 0xed210827, 0x5c7c6f1d, 0x4a70e4ad, 0x54b26ef2,
+    0xd1e2b833, 0x989860b8, 0x0d677174, 0x5723d9d1, 0xf365f9b4, 0xa03ad698, 0x796bedfe, 0x13513aa0,
+    0x8c497c25, 0x46417222, 0x03feef63, 0x9c22ea20, 0x4b7dbb17, 0x605e6133, 0x0292dbf7, 0x2b4379b6,
+    0x5280da64, 0xf639de56, 0x57850f52, 0x67a253bb, 0x2589e6f7, 0x6e350ae0, 0x426bcd48, 0xf51c2e57,
+    0xdc462715, 0xc638aab1, 0x8da5a4d0, 0xe9dfe8db, 0xbe6422e7, 0x6f090912, 0xa0461255, 0x188b7abc,
+    0x905dd476, 0xbbcb74e5, 0x1a1cdc6a, 0x151d6305, 0xc1f72e5e, 0xb4d26a44, 0xb2ea10d2, 0xc605f58b,
+    0x09f6da20, 0x3ba5a73f, 0xd6e7d754, 0x589b49df, 0xc6cd407b, 0x3e8198d4, 0x373c5e81, 0x898600a7,
+    0xbbdf2d7e, 0x545404e9, 0xa8eef5c6, 0xe68784b6, 0x3d927ea3, 0xf09ea948, 0x09ce18ac, 0x5b0217ab,
+    0x6c3848c2, 0xda276d35, 0x06464716, 0xeafc6d32, 0x942ce83e, 0x4e19f5c3, 0x0cbfd39d, 0x1e5e8b8e,
+    0x0638096a, 0xd72eda12, 0xc4002790, 0xb393478d, 0xc8a56b9b, 0x56bd2c58, 0x44d1de30, 0x1a579747,
+    0x04255833, 0x28517a12, 0x89ee4621, 0xebd36d17, 0x306638d9, 0x53117097, 0x07f01cc9, 0xe79da32a,
+    0x669bdb3e, 0xd39afe65, 0x34f0d0eb, 0x3238e88c, 0xd17115e4, 0xf33a910e, 0xc4bab4ee, 0xe83e7118,
+    0x80109a5c, 0x934ce066, 0x839ee5ab, 0x7dc0f6f7, 0x8159d4ba, 0x536cee38, 0x41985629, 0x8c99fc7b,
+    0x00000000,
+    0x99af0215, 0xd187a62f, 0xe49537f7, 0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b,
+    0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000019892929456\
+                          39146568621528992587283360401824603189390869761855907572637988050133502132224 */
+  { 0x00000000,
+    0x824ecd5f, 0xb2531565, 0xfb618e15, 0x42a59d18, 0x0db26b0a, 0x23d1013e, 0x5e6d2096, 0xb3c1ba84,
+    0xcc13e6c9, 0xb6f81dd4, 0x4af4ec5f, 0x191f2857, 0x3911b20d, 0x273ae68e, 0xb3f64cbe, 0xebd092ad,
+    0x7d8f48f0, 0xf9661988, 0x463ed3d5, 0x6042a7cd, 0x1effedb6, 0xc92d46b9, 0x420708e2, 0x1aa863ad,
+    0x1fe2d5f1, 0xbaa3d21d, 0x7e0dd9f9, 0xf68e2c75, 0xa381c087, 0x576779a0, 0x648f66c5, 0xdab9aca4,
+    0xd0be5f6e, 0x1525980e, 0xe12755d8, 0xbf690ab6, 0xb4b8c914, 0xa6367ef0, 0x17a8190f, 0xeda5aa07,
+    0xeaa1536f, 0x1b31898d, 0x045a8213, 0x8617598b, 0xde31df15, 0xa9637549, 0x6698c04d, 0x1e29789a,
+    0x18ca4d14, 0x54694d19, 0xae241611, 0x9032e733, 0xe45e6e0c, 0x4b682c5f, 0x40b199d0, 0x6554a0b3,
+    0x545a0709, 0x88739602, 0xd8842012, 0xde990d89, 0x90976fe1, 0x2d8a9525, 0x0830fdcb, 0x1da50b9f,
+    0xdbfc5d8f, 0xb29d6dfd, 0x01c03afe, 0xcb8d443e, 0xe766f543, 0x08040242, 0xf99ca8a3, 0xf814f6d7,
+    0xbe2a3087, 0x27543d03, 0xfb4d44b3, 0xd59dc991, 0xf770c7ab, 0x56671a94, 0xb3c08e28, 0xd8bf35b0,
+    0xbb187b4a, 0xd38dd56a, 0xa8fe7438, 0x1b04e295, 0xa5780687, 0xa2b74ecd, 0x20976e97, 0xdc034602,
+    0x13260afa, 0x68630f01, 0x1596fd00, 0xde8ac5c9, 0x28dd80c9, 0x572a0438, 0x50461ef0, 0xc1d2e63f,
+    0xf593c8f0, 0x485fdda0, 0xae02ab27, 0xa894a56a, 0x633c839d, 0x810a6bda, 0x7e45899a, 0x8c5c1aa9,
+    0x818ccc62, 0x56fef986, 0xbe36f00b, 0xfdb43d5f, 0xd3238e23, 0xb945d19d, 0x674496f0, 0x688ca062,
+    0xc6b0a0a8, 0xa03dca5c, 0xc523d34e, 0x78821c23, 0x06407eb7, 0xecc664de, 0x1616a64c, 0x075eb839,
+    0x56b86753, 0x9810e565, 0x6ae920b1, 0x2fb19278, 0x9e68d495, 0x3c6eccf5, 0x275d969a, 0xb654c6a2,
+    0xea897109, 0x1ddaef3f, 0x3fefc942, 0x4509b4e6, 0xc8fb91a5, 0x6f6fd50c, 0x081e882b, 0xfe431f26,
+    0x24de4240, 0x524bfda7, 0xc42c584c, 0x6886db91, 0xc071edbd, 0xb1075f4a, 0x189088eb, 0xf508554e,
+    0x22991543, 0xcc8337d2, 0x340f951f, 0xca720037, 0x49170f66, 0x90c3a405, 0x07017c71, 0xce64995b,
+    0x46718776, 0xc270f476, 0x8427adcf, 0x35f69020, 0xd9e9f7e6, 0x6d77af61, 0xebc5909e, 0xd46b5059,
+    0xff99bb19, 0xa45c3812, 0x00442519, 0xa0be797e, 0xefdd0e4e, 0x825619d9, 0x3c09a92c, 0x05f32910,
+    0x7151106c, 0x697c64fa, 0xea2bbc5e, 0xb41179b1, 0x71e075c6, 0x5f5f7374, 0xdd99cf89, 0x4f83e038,
+    0xbc4f17fb, 0xc4305775, 0x80c358f7, 0x6d359718, 0xfcc4623f, 0xf7b05c07, 0x9a819ef1, 0xa625ad5b,
+    0x89cbb8b9, 0x22d58a56, 0x6d7450ab, 0x63cc746e, 0x8e76f197, 0x5fe56cad, 0x0f419dfa, 0x7ffc7657,
+    0x51d3b50b, 0xbef5cefd, 0xfdda6d58, 0x056424f6, 0x650e6916, 0x84aae651, 0xc7228334, 0x7b79da64,
+    0xaeb965de, 0xc014e219, 0x62f2a70f, 0xd14d63e6, 0x1e67c1ff, 0x0d9ee06c, 0x3ecf6099, 0xbbec7138,
+    0xb701f3c8, 0x464d4948, 0xb5e34a77, 0x2dac18de, 0xb1347f05, 0x63598dd1, 0xe3b5b50b, 0x31dbf7ea,
+    0xaed22577, 0x7057ec9a, 0x44264296, 0x630f03d8, 0xb0ead0d4, 0xe718d693, 0x4facaecc, 0x8f3b00a1,
+    0x1c1d1614, 0xa277b99d, 0x7b19179b, 0xa1721821, 0x328cdf90, 0x7edd0cee, 0x9e2f27b9, 0x32620ec3,
+    0x68212770, 0xee67bd8f, 0x7b8f909c, 0x96a96c22, 0x8651e76f, 0x4cbe24fb, 0x7d662957, 0x081e9b20,
+    0xb7bb9a4a, 0xaa2e1078, 0xf9168fd8, 0xf9ce689d, 0x6c95e6f2, 0x169faeef, 0xec2149ea, 0xbd206e57,
+    0x2fb0b816, 0xea653261, 0xde579451, 0x82741173, 0x0c8acbad, 0xca62e9bc, 0x8cf7cdcd, 0x7e6acd9f,
+    0x7a600fb0, 0x7883f2b6, 0x35ce59ec, 0x1698893c, 0x1f20d8df, 0xd8cdfed8, 0x1281c540, 0x5e3724bf,
+    0xe1d8d3af, 0xa14b15f9, 0xbbceae8f, 0x25ea541c, 0x33cb15bd, 0x09946313, 0x0c7d6db2, 0x599df538,
+    0x19f7c5cc, 0x254dd911, 0xf9bd8b49, 0xcbb701c0, 0x3ec59bd8, 0x407d317d, 0x07922b9a, 0x5ede5f15,
+    0x2b22a6ce, 0x09901a5e, 0x6e5c3954, 0xc9a46247, 0x6b415c9b, 0x5e501093, 0xeecd34cc, 0xd7126c79,
+    0x07e9b603, 0x70c104be, 0x73872696, 0xabce6c2d, 0x0457380f, 0xa07fb26e, 0xa21f7308, 0xdccbc7da,
+    0x0408934e, 0x36ac769d, 0xb98995d4, 0x54c2df89, 0xf7c7ecd2, 0xfdc4fd9e, 0x6fe6c0a5, 0x2fc4bf44,
+    0x067edd70, 0x2c37b465, 0x3f205857, 0x92e96b6c, 0x6ad32a9c, 0xda941576, 0xf388af1c, 0x38852ba8,
+    0x7a816236, 0xf1ca2abe, 0xf33adc81, 0x4540b37d, 0xabd582de, 0x2f0af96d, 0x754f2aa5, 0x12b8429d,
+    0x2d9822be, 0x1fe910f1, 0x57131072, 0xd2d312ac, 0xa89b67de, 0x490cd803, 0xb59c898a, 0x7b69e22e,
+    0x39442da0, 0x9bfe2a8a, 0x9d0ace7c, 0xd75c9fb1, 0x17dbae82, 0x444ff35c, 0x0d5c3051, 0x4fe8270c,
+    0xb08eba6d, 0x5f8513b7, 0x9f1f6699, 0x6bde293a, 0x7fd3dfb3, 0x6c4df0ac, 0x9f8ade52, 0x25cf6d72,
+    0x2889fe77, 0x2c204639, 0x97894bb9, 0x1273feb3, 0xc17ca0ff, 0x771952dc, 0xed72eecf, 0xbf33c57d,
+    0x61b19fbb, 0xa8b11bc6, 0x8a15cea7, 0xb82f579b, 0xe954f306, 0x971514d9, 0xdff860e8, 0x1fcf97a7,
+    0x2e8b82e0, 0xe50fa9be, 0xa41566ee, 0x68d72447, 0x822ec612, 0xd7a25d35, 0x09180152, 0xd4ea5eb1,
+    0xed3b437b, 0xb23dcfc8, 0xb0d55375, 0x06d31dee, 0x19bf0500, 0x486b1353, 0xd2655424, 0x362c3d21,
+    0xc75de806, 0x2a966c90, 0x83227b60, 0xb797444e, 0x0481525f, 0xa24d3f87, 0x3a7cd265, 0xa758f316,
+    0xcd4c0e70, 0x08193660, 0xee7c4d25, 0xa42e306b, 0xf0167228, 0xb6782447, 0xacb1d725, 0xa55e6f59,
+    0x46d9628e, 0xdc647b80, 0x1c3062de, 0xd0ecd3da, 0x501d77fb, 0x19e55b51, 0xc01d88d1, 0xdab2a8c6,
+    0xfd0a488a, 0x043591a9, 0xb3554e44, 0x109bbd65, 0xa17f501c, 0x3031a515, 0x74b3af1e, 0xf5479b6c,
+    0x8cc4ee4d, 0xa838c192, 0x8d3ca8ce, 0xf2670f4c, 0xf77485cc, 0x2fda4a37, 0x7e7121bf, 0x6dbfe157,
+    0x44475f6d, 0x9f37302e, 0x7d3a477a, 0x3c0aa768, 0xc27aeec6, 0xc71d4852, 0xe51f29e5, 0x35a1f0ea,
+    0x397b940e, 0xc3ed2e81, 0x42018480, 0x352fde1a, 0xb46fa4b6, 0xf95ebfaf, 0x4b891311, 0xee133f8a,
+    0x6045c64d, 0xe897e3fd, 0x410774a9, 0xd2f4ee7c, 0xc9ed1324, 0x1f6dd95c, 0xe2945153, 0x0ec2c28e,
+    0xf7b5070e, 0xe606ed7d, 0xaf56edb6, 0xc3d5f203, 0x3f920e75, 0xa6f8faa8, 0xdb586c36, 0x12e0c1b7,
+    0x7d902ab6, 0x4cc3f517, 0xefe25843, 0xe49f0a35, 0x6b13af1b, 0xa70268fd, 0x84e4d640, 0xcc0f2203,
+    0xcdf7ca6d, 0xf57fb309, 0x13483026, 0x324d1937, 0xd79934c2, 0x754178dd, 0x448a2a97, 0x97920206,
+    0x54986b1d, 0xf76bf8f4, 0x886b9f59, 0x2efbd03b, 0x10c8fc2d, 0x117fe781, 0x62277c70, 0xf6e958a7,
+    0x98da67a5, 0x34e58566, 0xfddaf4d1, 0xcdcb9739, 0x01272fa2, 0xed332353, 0xc3e38ddc, 0xc18dbc80,
+    0x78d94f9b, 0x688af77f, 0x74410979, 0xca00958d, 0xaba668da, 0x70b1319a, 0x50fbd9b7, 0x44ca86b4,
+    0x0a8f2401, 0x48699a0c, 0xb4dcdf8a, 0x1766089f, 0x2887ec6e, 0x21f57930, 0xefa18fb0, 0xe643a801,
+    0xddfc2903, 0xd9743ff8, 0xdf72bb80, 0xfe317f26, 0x1a4c19bf, 0xd51692e3, 0x04f8e16a, 0x519783e0,
+    0x31486fc5, 0xc961f153, 0xd573fe9b, 0xea4eacb3, 0xdcbf89ca, 0xa50d6a78, 0x8c5891df, 0x774b1311,
+    0x99037511, 0x3dd59840, 0x1729f6eb, 0xde986888, 0x618d2f61, 0x1c6d6361, 0xff4146ef, 0xfb7e83b3,
+    0x81f1b043, 0x1e23be89, 0x5d3712b4, 0x452ec0ee, 0x2321256d, 0xfbaa1ccf, 0xc1bd21c1, 0x2f08a324,
+    0x0c3ad112, 0x658e2b28, 0x0edc53ef, 0x6d7a37e7, 0xafacff90, 0xc5897d2f, 0x4c979729, 0x84963508,
+    0x43c9e4c3, 0x2f507f00, 0xc0ce82c5, 0x1918bf57, 0x290d4cdd, 0x238e9c50, 0x3a3d76fd, 0x93da39ed,
+    0xa877cf95, 0x8e625e46, 0x3e32bc83, 0x304bd1d4, 0x42ab3c90, 0x1a2baec8, 0x3576f1af, 0x95d395c3,
+    0x98737bce, 0x2c071bb4, 0x06615f9d, 0xbae3b810, 0x6ad15d77, 0x4d221f4e, 0x08cdd12a, 0x170dabc2,
+    0xbaad8bfa, 0x70e5c858, 0x02bf14c9, 0x6df45c98, 0xb89a36a0, 0x7f28f898, 0x46c33e34, 0xe91629b2,
+    0xe9bfce44, 0xe15f8ce8, 0xcf0210c1, 0xb19b9b84, 0x8f39fde5, 0xb42e9ab2, 0xa35b082d, 0xd0158da7,
+    0xe72f9e4d, 0xe465cefc, 0x70a22076, 0xa6cf526c, 0x95ae83ec, 0xc11e4c50, 0x75196068, 0x6b3414d4,
+    0xb5047736, 0x01a3560e, 0xacc7b881, 0x7f20ee77, 0x4bb32dba, 0x06f916c4, 0xe52847a7, 0xa7daa0ae,
+    0xddf23736, 0x5bee4597, 0x1828ae01, 0x12595ea0, 0xbcf0dde3, 0x82a10fc9, 0x9e25f85b, 0x6f3544eb,
+    0xafaf741f, 0xa7721c3b, 0xdb357aec, 0x84dbeb6d, 0x38d4d34d, 0x7a3cff7e, 0x5756dfbf, 0xfc46d68e,
+    0x508e37d1, 0x2e67985f, 0x9d664a31, 0x3f4024d2, 0xef6147ae, 0xa7ddd5f1, 0x625457bb, 0xa15d9679,
+    0xe732b9e0, 0xee5cf138, 0xc6bceb4f, 0x4382b481, 0x1bbd5176, 0x9a04ded9, 0x56fb346b, 0xe0fb5d70,
+    0x0560e416, 0x3eda506a, 0xf6314aa0, 0x7e14aaa8, 0x749ec013, 0x0ece7270, 0x193c0a33, 0x220b6176,
+    0x45871221, 0x8a875d4b, 0xb7e9778f, 0x57297f94, 0x0cca3b68, 0xd3853ba8, 0x1a1214af, 0xb682b205,
+    0x722598dd, 0x6037528a, 0x9e8e99ff, 0x194d3f77, 0x7d1deec4, 0xd1c646bc, 0xd5fd4ec9, 0x13de2e4d,
+    0xe2ad9fb9, 0x729d5d44, 0x32a5080a, 0x75930bd7, 0x1bb84598, 0xc000b2ad, 0x699da930, 0x484a1549,
+    0xbd3e3c88, 0xbb039d75, 0xec7fffc7, 0xdc59ec44, 0x396db60c, 0xe84b4981, 0x4ccf5960, 0xc471ae15,
+    0x63d64d56, 0xff745974, 0xe07ff766, 0x76f41d92, 0xdd6f5e41, 0xdd38175c, 0x562c9166, 0xbbaa1ee6,
+    0xe171e5d7, 0x6367e5e0, 0x52ee64a6, 0x04765972, 0xace0696f, 0xb816c8c3, 0x8ae8ff43, 0x2fa2b962,
+    0x731de504, 0x07c08eff, 0x08b0bddf, 0x038d7f2d, 0xfa4d84a7, 0xca8e2c16, 0x05506a9d, 0x32a28205,
+    0x42e748c9, 0x91d58731, 0x6074145f, 0xee540c6a, 0x90957f39, 0xdec4629d, 0xf52f26e7, 0xc96a084e,
+    0x3fa2e962, 0x523eb838, 0xb513a5b9, 0xb5853596, 0xb13950f0, 0xacaaafb7, 0x9da1071d, 0x739be6e7,
+    0xa48fb1ac, 0x478778a5, 0x8574c984, 0x3cf86fca, 0x13cf150b, 0xf15d18dd, 0xf2325e61, 0x16527790,
+    0x81b9d804, 0xca09d27c, 0x67dcd20b, 0xf63da852, 0x6877ab62, 0x3a35345e, 0x7189ea63, 0xb80a873c,
+    0xbb439b5c, 0x625398d8, 0x2874914f, 0xf5313c83, 0xf5a4db04, 0x02aeb5ab, 0xd0f63995, 0x5c192704,
+    0x5753c422, 0x1a16a5b4, 0x3efcf293, 0x4c9b6838, 0x20753bfc, 0x0f584e16, 0xff6fcbee, 0x82f0f830,
+    0xeaec2224, 0x4fa49ec8, 0x2b7ce09d, 0x343ccd34, 0xa60380a7, 0x25954a44, 0x4d5d0eb5, 0x08876478,
+    0x4b099817, 0xfc105905, 0xe4b92d30, 0x062c5827, 0xd411bb0d, 0x7b036244, 0x60897ce5, 0x910a371a,
+    0x71930164, 0x3720c2d9, 0x186899de, 0xb0a1a81c, 0x172c633d, 0x4ef61369, 0xd6d41db7, 0xcb3e03e6,
+    0x3bbd1863, 0x66269dbe, 0x1369ea3c, 0xb2f7124d, 0xdb73b182, 0xd99339d7, 0x9a20ba38, 0xc4bab9e6,
+    0xb45252f7, 0xabf38842, 0xed3b2526, 0x22be0cf5, 0xf97918a9, 0x26e3a753, 0x09849d18, 0xa3d33405,
+    0x971472d9, 0xfede522b, 0xb13c6cfd, 0x97ec2817, 0x8ec9f69a, 0xdca893c1, 0xf47f5ee7, 0xef7e49e0,
+    0x96d3b124, 0xdaa9fe86, 0x4ec44496, 0xcacc2a3d, 0x5eb8ee19, 0x30f43cf9, 0xb3c47a77, 0xcbac09f2,
+    0x6e85beed, 0xc695d5f3, 0x1a0191ff, 0x9921c6e0, 0xdce1e41a, 0xb120f270, 0x40a1af33, 0xd7b07e06,
+    0x6cef51c9, 0xff33c4d4, 0x9521ea17, 0xdfaa102e, 0x1a01d013, 0xf312453b, 0xeb21aeee, 0xaa548508,
+    0x97b535bb, 0xa87ccbaa, 0x743569b5, 0x97667544, 0x9b798e1d, 0x97a6b89d, 0xae912118, 0x9ead6473,
+    0x96a4ebff, 0x428c7426, 0xc8d39be5, 0x17687129, 0x5755e44a, 0x551f0b7f, 0x708abc99, 0x4182b9bc,
+    0x987b21ac, 0x844d46c7, 0x73f7e2c5, 0x37516bba, 0x5ceb681a, 0x8f526150, 0xd1e01583, 0xb21befbf,
+    0x5e612896, 0x0c3a0220, 0x2567929b, 0x44c77c24, 0x72c13c30, 0x62d40768, 0xa0bf5ea6, 0x4a7acc96,
+    0x297fec6b, 0x793c2583, 0x6108de1e, 0x4576636d, 0x621c77b2, 0x63f29cf1, 0x051ebfae, 0x713c7d78,
+    0xc7eb79f1, 0x9532433b, 0x5da95372, 0x3dee9574, 0x623701a8, 0x8bb75e9b, 0x6e21102c, 0xa8f31cf9,
+    0xa5872816, 0x7fd1a6f4, 0x695081f2, 0x50372b29, 0xb23d8631, 0xcdf9194b, 0x85f29547, 0x4bf527de,
+    0x4c626c5c, 0x9223b7da, 0x63ccfa93, 0x31cfd802, 0x0d709db7, 0x8a87c633, 0x33d954f5, 0x20294aa6,
+    0xeb6516a1, 0x61d4c653, 0x8bf51d33, 0x77ab485d, 0xefd40a37, 0x3d7fc7c1, 0x865ade91, 0xc52d2c3e,
+    0xce49812f, 0xa1010291, 0x06c1b72d, 0x0ee1e3d5, 0x03ee22ba, 0x67a60f32, 0xd336d11a, 0x41416d03,
+    0x1dc3f81e, 0x17bc18f3, 0x828424c1, 0xed1990c0, 0x65a062a6, 0x5c1ed37a, 0x87143985, 0x3736394d,
+    0x02eba120, 0x10d8a789, 0xc352a751, 0x5e1b4dbb, 0xdc7a3f8f, 0xd8d57e2a, 0x365099fc, 0x42927930,
+    0x1d104cd4, 0x3da76d46, 0x611feca4, 0x1adf49bb, 0x94da0a4d, 0xbe9e65ac, 0x5545c763, 0x58ba8513,
+    0x2ecf4578, 0xd48ee30d, 0xb44c7541, 0x94e5a9fb, 0x05d34293, 0xb74b3bc7, 0xe4bfefbd, 0xfaddde8d,
+    0x9f481c4f, 0xf2864bab, 0xb6f096f6, 0x7a09adc3, 0x6f34add9, 0x9ea919f0, 0x1972d938, 0xc24f1e63,
+    0x13ee8b43, 0xd96064d7, 0xbd56afba, 0x2225a123, 0x8624c6bf, 0x1fe1a6c4, 0x3370155c, 0x41bf7f1b,
+    0xb90da9eb, 0x83c9491e, 0xb3ea0a9c, 0xe7837ec2, 0x27ff7353, 0x2638ca9e, 0xea4d5ec6, 0x466ab7bc,
+    0xbadfaeba, 0xb66acea2, 0x683a2c19, 0x9e3e1031, 0xee72be9e, 0x677aaafe, 0x9427ff6c, 0x091f372a,
+    0x83f6f357, 0xf2425b9c, 0x567cb8cb, 0xff59251e, 0xe126cf5a, 0x3f1d0fc0, 0xddd88b6f, 0xa6730e96,
+    0xe7b46f82, 0x0193cb9e, 0x671b82c9, 0x8bede3af, 0x532a0138, 0xffc58d86, 0x18df9586, 0x958cab9d,
+    0x4bd4a19c, 0xa3cf0261, 0x425ade81, 0x26098758, 0x8cae543f, 0xe0a154c6, 0x42376388, 0x1e9c21e3,
+    0x6c7713a8, 0x4f6e9503, 0xba365c19, 0x22643641, 0xa2bfd95c, 0x4fd4ae1c, 0xca34dedd, 0xe6b9e9bb,
+    0x6c1d5dd7, 0x9ea2e26e, 0xf82bb62d, 0x6298ca38, 0xf2db9eed, 0xaa3b6f25, 0x350be634, 0xe73ea6bd,
+    0xfc1dc89f, 0xea9ce2f2, 0x0ba6200e, 0x06d8beab, 0xd9ade880, 0xed4fed67, 0x5fe413ee, 0x51640bca,
+    0x32e356b7, 0x89757670, 0x0c5eb908, 0xc7e10253, 0x28aa3f8b, 0xa635a8ab, 0x714e6aff, 0x862722a2,
+    0x00000000,
+    0xccd7810a, 0xe8c3d317, 0x724a9bfb, 0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d,
+    0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000009946464728\
+                          19573284310764496293641680200912301594695434880927953786318994025066751066112 */
+  { 0x00000000,
+    0xa7df561a, 0xaa34480d, 0xf7817db4, 0x5279addd, 0x05404c5a, 0x5fb5e838, 0x9811073e, 0xe9e9bb45,
+    0xd9f64228, 0x445b06ea, 0x9d139aa4, 0x5252b086, 0x3c06601d, 0x78cd5f4c, 0xdfc904fe, 0x954c5c2b,
+    0x0923d76c, 0xd6ff0f53, 0x3fd64465, 0xb0854cf3, 0x8ef77605, 0x42f54352, 0xba247969, 0x52aacf1a,
+    0x15c0725e, 0xb136ddd0, 0xbb5d9329, 0x7a267ee3, 0xc7dc238f, 0x156d1f27, 0xa561ec21, 0x40d9a50a,
+    0xee0bab89, 0x77693ab6, 0xe6f14409, 0x14b6c273, 0x466bffee, 0x7cfd24de, 0xdc7ab629, 0xe114fc0c,
+    0xaa1e4369, 0xebecdb28, 0xe7c9d293, 0xa9db6f2f, 0x8c4ea9ac, 0xf19ae814, 0xae1ffddd, 0xb4854ae0,
+    0xd3de35a5, 0x5a727426, 0x949b41b0, 0xe055f686, 0x5b643f17, 0xae016f63, 0xaa40610e, 0x224df38e,
+    0xa4543737, 0xecd05485, 0x45dbf8cb, 0x00f1897a, 0x1e7b91e4, 0xd835a271, 0xcc312553, 0xf12fa117,
+    0xd5eed844, 0x4eef87ae, 0xf487ef70, 0x90af7a1a, 0x074c0beb, 0xeae262b8, 0x7c076f7f, 0x2e871409,
+    0x271b646d, 0x8328871c, 0x00f6fa9c, 0x3338283a, 0x11225b69, 0x90aaa10a, 0x828a7a5c, 0xaedba7d1,
+    0x3493bbac, 0x62b2cc1e, 0x39869fbc, 0x34fb63fb, 0x8e05cf29, 0x7b20ae67, 0x0881d820, 0x0a12252f,
+    0xe8b40fa7, 0xd7698338, 0x80034637, 0xafe1730a, 0x74438ef6, 0xe45dcc87, 0x4553b12b, 0x5a965733,
+    0x703b2bb2, 0xa1c2ea84, 0x92a25835, 0xe5402fb3, 0x2eaecf6d, 0xacd4f91e, 0x7aaa2c85, 0xac588d86,
+    0x1018aaf9, 0xef54511a, 0x852b08e9, 0x8da5f22c, 0xa4647036, 0xfb309d17, 0x782fc598, 0x9e4daaac,
+    0x9f1ad93f, 0xab5f97a3, 0xe381245d, 0x9771b1ed, 0x96b444bd, 0x7c0bf965, 0xbbb361b7, 0xdc577f19,
+    0xeab399c8, 0x7fc12721, 0x15b3eaf6, 0x6f5709cd, 0xc6dbe0a1, 0x499c02f9, 0xb5a0be2d, 0x78915796,
+    0x2e59dcb3, 0x84325cec, 0xaba418bc, 0x6568edf1, 0x369a9327, 0x5458e64d, 0x7564acad, 0x4eafac8a,
+    0x48b59e7a, 0x9430c7f6, 0xceb9667d, 0xe7276955, 0x5c737630, 0x6718679b, 0xfca97eff, 0x9a5ca8b0,
+    0x55636405, 0xeffd0ef8, 0x20ef4f05, 0x4f012253, 0x7e2d187b, 0x9b9eee57, 0xe70ad2dd, 0xf4a1e26c,
+    0x81148f8c, 0xc80c02e0, 0x175b0d60, 0x718460c9, 0x9b2ab0a8, 0x2fade454, 0xe0772195, 0x9889561f,
+    0x28c75241, 0x30599ace, 0x9cc31e88, 0x03ef28fc, 0x3f954735, 0x77ee9957, 0xbad929c8, 0x3a1c7c8c,
+    0xdb6927fa, 0x551309a3, 0xe960a537, 0x14230cdc, 0x9c427d32, 0xc5014250, 0x7a5f633e, 0x9d309ce0,
+    0xf475321b, 0xf551bcf6, 0xe9e8a582, 0x52dd26d5, 0x6ddf0d7e, 0xd3da7699, 0x2510636f, 0x4f5f1c85,
+    0xc1e2fee3, 0xb7608d2f, 0xa71ca1d7, 0x4262a4ee, 0xf8eca4c8, 0xd9899213, 0x721104f1, 0x8d5652f4,
+    0x2e60917c, 0x60261a43, 0xcf081065, 0x8a57a2e9, 0x0e6713c3, 0xe69d0283, 0x603bfb1c, 0x51ecb1f3,
+    0xd23c1696, 0x362b2182, 0xb9827727, 0x047452bc, 0x55eed5bc, 0xf5f7fc93, 0xafbef02b, 0xdcfe48cd,
+    0x80b3f4f0, 0x45d684b8, 0x07b80b7d, 0x3728bb68, 0xf71f5aad, 0x8afcac25, 0x6a691aca, 0x84b9378d,
+    0xf55087eb, 0xd30a658b, 0x711b7a09, 0xef7697f7, 0x8d6628d8, 0x57624593, 0x97cd4d6b, 0x383cb97f,
+    0x2098f525, 0x876c9cab, 0xc63b8629, 0x6a2eb14b, 0x05099e92, 0x15f572e1, 0xda98d25e, 0x7c5f626a,
+    0x0c43cc08, 0x19104666, 0x30a22e68, 0x4427349c, 0x36a46244, 0xa9635c91, 0x8690185f, 0x018d5588,
+    0x3c568227, 0x947583f0, 0x21101bd2, 0x5451c76f, 0xa426cf7e, 0x41b16ff8, 0x7ce1e487, 0x1c10b280,
+    0xc30ce73b, 0xe4045865, 0x57e48307, 0x04511b65, 0xb71d78aa, 0x26a26df5, 0x851b0064, 0x8add73e2,
+    0x3745da89, 0x081c9fb3, 0x7fadceaf, 0xbad3146c, 0xe7bb81e9, 0xd9a61d66, 0x8e92c1b6, 0x297dab40,
+    0x2a2aebbf, 0xe73235fc, 0x46039f14, 0x17b188db, 0x36f060c9, 0x7cd7c0d2, 0xc9258750, 0xa3af5c6d,
+    0xbfeba3bc, 0x7da9d648, 0xcdafabed, 0xe089e81a, 0xa146f478, 0xbd209910, 0x0f9d5c93, 0xf8835d83,
+    0xa94e2988, 0x5b9673ec, 0x3ce118c0, 0x960d57f6, 0xeffd1e04, 0xd826140c, 0xb56f252a, 0x6476081d,
+    0xe47a87e9, 0xc5cca734, 0xcaadc3a1, 0xa898a05a, 0x70a788a5, 0x8145630b, 0xb8ab56e0, 0xdabe7b07,
+    0xf906227d, 0xee8d7a7f, 0x22f3a3f1, 0xf3e0d746, 0x484e7035, 0x473e99e4, 0x610b709b, 0xcf7d0847,
+    0x4a95db8a, 0x76b05be5, 0xc75c893e, 0xf44803ad, 0x96f16d4e, 0x72ecb270, 0x33ed64fd, 0xe68bea43,
+    0xd47ab438, 0x443f10a4, 0x9e93a02d, 0x14a7b657, 0xae5449dc, 0xa03aacc1, 0x230ec45f, 0x6f6bd867,
+    0x5a43318d, 0xa9bfb446, 0xbb9eff44, 0x006a2b38, 0xbee992a0, 0x5a583886, 0x12072436, 0x7702cc75,
+    0x9fd0b59e, 0x753cf9ca, 0x4ad475b9, 0xc44ee08e, 0xaa526543, 0xf248f0de, 0xad16f290, 0xc5459072,
+    0x39dd5bfb, 0x6f1f3d4b, 0x85094df4, 0x5b3be524, 0xff42d65c, 0x7aca1284, 0x65e354b6, 0x1c98a24d,
+    0x39f1b8d2, 0x7b8f5879, 0xfb3e531a, 0xd18ffefc, 0x23f420eb, 0x9247b242, 0x49da0bf9, 0x994176c1,
+    0xb5c61f78, 0x02fe65b3, 0x8ac0791e, 0x2687b00f, 0x03f54cff, 0xebd344eb, 0x30a0d980, 0x4647ad43,
+    0x838f7d15, 0x07776082, 0xcbec4722, 0x5858fd84, 0x19151481, 0x0f368af7, 0xd8b1d603, 0xca7191a1,
+    0xebe1476c, 0x8e612426, 0xdcfb07eb, 0x4e4b5b2c, 0x3b3abfd7, 0xf8115178, 0x8587eb28, 0x219a1541,
+    0xe5344d84, 0xe6d59e02, 0xb652ef58, 0x7d1bcc4a, 0x32e5dfdd, 0x49870d48, 0x914a5595, 0xb3911d77,
+    0xa83d9264, 0xe1f29bae, 0x750c7cfc, 0xa5bda4c8, 0x87c446e9, 0x2eff19f5, 0x205f8454, 0x0e26f6ef,
+    0x8f8c2aa4, 0x13d0d64d, 0xd65531e3, 0xb9ff1d6f, 0x425c3b37, 0xc546bdf0, 0x07a4d683, 0xcc71ce7f,
+    0x1f5028f0, 0xf1e4d934, 0xf9aa5b37, 0x5bf1b982, 0xa33e9810, 0x1870aeb0, 0x5a6283ff, 0xe2654e62,
+    0x3dd2d36f, 0x57d1f6af, 0xdb8f8f14, 0x5958c223, 0x20329027, 0xb88fc50f, 0x6c00cc09, 0xe12a6dc5,
+    0x5e6747eb, 0x9fd16504, 0xf6f64ddb, 0x55e62a80, 0x4f8bd038, 0x2777b3f2, 0xaff9bae2, 0xd4b555f5,
+    0xfff55e95, 0xd7e74363, 0x76bd6e16, 0xbc8fabed, 0xfb9342cf, 0x77ef7104, 0xf4257075, 0x4bcb485f,
+    0xb7e59fa4, 0x58daa9b7, 0xe5f2472a, 0x6e1f45f8, 0x7b4dc5dc, 0xd39c1d13, 0xb8074bc5, 0xfa65d0d3,
+    0x62b1a70a, 0xe520740b, 0x790b5c48, 0x920b6b62, 0x9a61247a, 0xeb99afd4, 0x3e026a5d, 0x618b7a56,
+    0xa92bda8f, 0x5d7b28dd, 0x23793490, 0x2a62a093, 0x119ff50a, 0x66d14823, 0x30f2e174, 0x60649b46,
+    0xa3187911, 0x68915994, 0x38a5a909, 0x334dc2c7, 0x23ebf35b, 0xdc22c319, 0x17f57403, 0x1fb0af13,
+    0x840495f0, 0x6648a90d, 0x1951ca2a, 0x15d70ef0, 0xc6bd99a1, 0xbf39069a, 0x0ce230aa, 0x122a9a6c,
+    0xdca2f81a, 0x9a42afc8, 0xb39ee7a4, 0x5d297b92, 0xac56d21a, 0xd1380a98, 0xd43c40fd, 0x897d1985,
+    0x0a43145b, 0x15fc8c7c, 0xdcfeff45, 0x93a8fbdb, 0xd2ffb10e, 0xe29f1b0f, 0x1487a31d, 0xe4dc230c,
+    0x0de146f9, 0x61769763, 0xe74ad6fe, 0xd8c97368, 0x1819a2c2, 0xd000821a, 0x9775edd6, 0xf3dd99ba,
+    0x1942db82, 0x1ca34a4b, 0x269112b4, 0xe06332d2, 0x90c26375, 0x7cc26cfb, 0xaafa0050, 0xbc61434a,
+    0x62b4c60d, 0x2ef7083c, 0x7f37f306, 0x8c39579c, 0x0ac2d691, 0x8929e82d, 0x0f175515, 0xf8432aa4,
+    0xfddd10eb, 0x3b77ff8c, 0x81019830, 0xd73dafd4, 0xabfe9099, 0xbea49339, 0x5c411267, 0xee3385e1,
+    0x9130da5b, 0x73305156, 0xfcae77b0, 0x26bbabf7, 0x0e211648, 0x5efa7761, 0x4340d412, 0x8057a094,
+    0xf41a0199, 0x508f1ac4, 0x3819772a, 0x60fabf93, 0x552635c7, 0xca5bd0f0, 0x8550d969, 0xc00f9741,
+    0xfd2e33cc, 0x41579e2d, 0x21a38740, 0x80f99559, 0x99c0a59d, 0xbf5b52f7, 0x24a5b417, 0xd0189307,
+    0x9ac2ee0c, 0x81834f6a, 0x9f4046fa, 0x4a006a51, 0xa01beeca, 0xe8838dc1, 0xdae5f92f, 0x7625fe7f,
+    0x1e327e5a, 0x85d8ec2b, 0xd299da7d, 0xf278534f, 0x6f942875, 0x0e47a67b, 0x1c95864f, 0xcd60a720,
+    0x0bbc9ab5, 0x7ef71272, 0x6f7faca3, 0xaa06e985, 0x243a1b8c, 0x45a70db4, 0x74f8d7e5, 0xba2aae63,
+    0x9a7ed0a4, 0x0cd1d47a, 0x8f51b71b, 0x6932d72e, 0x54b28d1a, 0x92da9503, 0x553e28cd, 0x85791ce8,
+    0xfc59d74a, 0x0b0433f8, 0x56a256ab, 0xe520569c, 0xb68e3666, 0x0de03ce9, 0x26365dcb, 0xe3dd96c6,
+    0xff567fcc, 0x1ecc537f, 0x83753667, 0x41a31811, 0x16b83587, 0xb1a38378, 0x77539a61, 0x345bd2fd,
+    0x94388151, 0x942c73c6, 0xca7a63c1, 0x62ec67ee, 0x500f5d7a, 0x7b6ac9e4, 0x8f9a1a22, 0x90885aaa,
+    0x58e5fc0f, 0x2d8269c1, 0xde1ecfaa, 0x5d71d3e3, 0x51c9aeb8, 0xeacb5aff, 0x2a38ce13, 0xffc456e5,
+    0x6ee7a60d, 0xe5918f01, 0x6d6b096f, 0x0d070239, 0xe9f960f2, 0xd023f769, 0x9d6c3f89, 0xd2ee9200,
+    0xbf576312, 0x507384d8, 0x8b279513, 0x6cb47cc4, 0xc02e8409, 0xf0fb32b8, 0x26b7fbbe, 0xca197d81,
+    0x073a7ab2, 0xafc6ff8b, 0x4cedc02e, 0x9dc5f68f, 0x56240d0c, 0x55a2c0ee, 0xddc98d4b, 0xf32d6e06,
+    0x839cbf5b, 0x2684defa, 0x93f126e9, 0xfca83d96, 0x15138ceb, 0xb907b90a, 0xd6468b4e, 0x9b30a95e,
+    0xa0a0c991, 0x911d6cb2, 0x702db294, 0x217e1246, 0xcfc8b5cc, 0x3a126b89, 0xfab36108, 0x13844f0d,
+    0xbe27bdbb, 0xb7cb6f59, 0xb12d5e23, 0xcfc1e24e, 0x93f3e70b, 0x3f6eb2fc, 0x48123c71, 0x40d5c031,
+    0x0997cfda, 0xfdb14542, 0xb6e023ab, 0xf551d9ef, 0x4074e877, 0x118655ef, 0x4336c60d, 0x29e73eca,
+    0x1a010392, 0x805d7e0f, 0x27485686, 0x75d15380, 0x77daddad, 0xa8238afe, 0x06b28699, 0x8efbc7be,
+    0xea6e396c, 0x9e0aefe5, 0xcb05eace, 0x6d7e3872, 0x0fdc316a, 0x933d4630, 0x499f8e27, 0x9ab1e56b,
+    0x78b6e7e8, 0x6a5cecba, 0xa609b5db, 0x8bc2bfce, 0xc58091a4, 0x9072350b, 0xf9b43762, 0xbe979841,
+    0x6917c889, 0x6048edf5, 0x385d70cd, 0x50620dac, 0xd1047ce3, 0x97b5a664, 0x6e4aade0, 0x6d5ccb47,
+    0x7bc4d2c3, 0xd17f3baa, 0xde694132, 0x78940ac8, 0x74c8be35, 0x0270bd8e, 0x606c220f, 0xc4d17a15,
+    0xb030b8b7, 0xcb53287d, 0xdfd95cd9, 0xf0b20027, 0xef4bf760, 0x37e8d17f, 0x97307f70, 0xfb12a144,
+    0x0e4db37e, 0xb87b107b, 0xcacb3c4d, 0xd7527d40, 0x0a0439a4, 0x00137ff2, 0x57f748b3, 0x8a4d1a47,
+    0x80fc5a5b, 0x919c356f, 0x917519a6, 0x9b70af71, 0xf34ab525, 0xfc9ded05, 0xc35ae21a, 0x0b6c95c2,
+    0x7bbbd1bd, 0x2ad66196, 0xb21407fa, 0xc5c8aa43, 0x9095e459, 0xa2f98816, 0x4e21d5ac, 0x8963d125,
+    0xf8ff1600, 0xe6a4a3b2, 0x93b6f84d, 0xc3192486, 0x7d1e1349, 0xcf6c7af0, 0x64858219, 0x71c545f6,
+    0xfe994bde, 0xd89959df, 0xad897deb, 0x22cf83b6, 0xe957a50d, 0xebda396f, 0xb200e0ac, 0xdec097f4,
+    0x2af4313e, 0x16489648, 0xce9760aa, 0x55a70376, 0x02178418, 0x9f711f6a, 0x95d2fd77, 0xb3c0321d,
+    0x449a3a33, 0xef3fbf02, 0xc3e4e146, 0xd85da6b3, 0xb5d49ab7, 0xae83a38c, 0xd7484e4a, 0x1a14d0d4,
+    0xeafb276e, 0xe5c83867, 0xd6745b56, 0x0f3571f7, 0x5dc6fe83, 0xa4bef397, 0x7a961be1, 0xe7ed1a43,
+    0x32982bfe, 0x0b2c6bc3, 0x7f3829d7, 0x702a0506, 0x5a396baa, 0x50f9a2f2, 0xad5c39b5, 0x012ac206,
+    0x341226a6, 0xa58ff2d4, 0x2678482f, 0x9618014e, 0xc0a5e3df, 0xbef0cb3a, 0x721683ff, 0x86c3eade,
+    0x7621d5ad, 0x45caef3f, 0xac0d8ccc, 0xa5ea6810, 0x84a7bf9f, 0x3eda4270, 0xf389e866, 0x0e7cc6e4,
+    0x8d01ca8f, 0x2ea90c3b, 0x89c87ea8, 0x92fba8e7, 0x7261b00c, 0x472950d1, 0x673ca515, 0xc3799f88,
+    0x443972d5, 0xb088c27f, 0x431c049e, 0x107c73ef, 0x3a461d90, 0xe8ef626b, 0x0ee51e8e, 0x2775163b,
+    0xf217bd5c, 0x582fb187, 0xf901c2a6, 0xc8c0deac, 0x32fd14f9, 0x0aa5230b, 0x21dc5a83, 0x9d16c90c,
+    0x537334c9, 0x43502c10, 0xa6a09193, 0xde314c01, 0xf3844b05, 0xd73d5566, 0xe3a25990, 0x5c7595fb,
+    0xd1673554, 0x0a790b0e, 0x7aed9e22, 0x358aaf2b, 0xb37431bf, 0x59ba006c, 0x67e7dae3, 0xc549e25b,
+    0x35a8fa09, 0xd00c42ca, 0x02451d06, 0x2c8cf5de, 0xe8902a72, 0xfee33da3, 0xa3b699f9, 0x844d0dc8,
+    0xc8d3e682, 0xc396d1af, 0xbcc339da, 0x3894edef, 0x85740ca0, 0x521cc8c6, 0x7b9c36ec, 0xdf9daae3,
+    0xd7f96c7a, 0x6d69704b, 0xc061ae16, 0x55385c74, 0x3ac21348, 0xdc4f9161, 0x76b84473, 0x2a7bfcca,
+    0xfacfe993, 0x53df94d1, 0xc3e70968, 0x7b47a008, 0x47502eeb, 0x0032c60d, 0xf920a2b9, 0xe4a28bf9,
+    0x2b7b113e, 0xa6e115ea, 0x1c842cf4, 0xcd8b2e3f, 0x05cd1839, 0xdb1f28a8, 0x3556a823, 0x2593f72e,
+    0xf4ca7d92, 0x5a94a566, 0x603413d5, 0x6140adbd, 0xf2e1e50a, 0x74f5a425, 0x4528ecb7, 0x4965490b,
+    0x00a0e147, 0x2079ad7b, 0x4911afb6, 0x947b25d2, 0x6e7904e6, 0xfbc9ea5e, 0x44401415, 0x9ef0ad62,
+    0x0642ae41, 0x0f59fd33, 0xf498209c, 0x92da362b, 0x68b44963, 0xac456796, 0xfd9ef602, 0x03876414,
+    0x96c5fe80, 0x1a43451d, 0x8c95c640, 0x762fd644, 0x56cbbda7, 0x664ebd7e, 0xab510947, 0xa71821c2,
+    0xd7ba4698, 0x20db626b, 0x56dad0c5, 0xa673c2cd, 0xa711e1c9, 0x0342ff31, 0xe3ffbd65, 0xcd403363,
+    0x1840951b, 0xcd561b98, 0xd9344fc0, 0x2fe80b94, 0xeb63dbdc, 0xe44b41b8, 0xcc57091d, 0x704af6bd,
+    0x580d8f18, 0x898ce54f, 0x6dd6644a, 0x84279d1a, 0xcc3147fd, 0xf2f5092c, 0x82d04619, 0x36178514,
+    0x5bb4e726, 0xfec15423, 0x55a7598c, 0x228947ab, 0x2f98a2fa, 0x75dc5e1a, 0x93557075, 0xfd327bf9,
+    0x5a6f0722, 0x5beba6ca, 0x960b86ab, 0x60704a42, 0xd037d06f, 0xfeee4689, 0x357562e8, 0xc25c4b72,
+    0x7f2198eb, 0xbd228061, 0x30ba56fb, 0x21b037da, 0x6d6aaafa, 0x92e5fdd8, 0x02dfdcec, 0x2672cafd,
+    0xc4324cb9, 0xd1dfb29e, 0xe737f29b, 0x56804fc0, 0xf8296b76, 0xa6da5f8d, 0x99b1e4ac, 0x295205c4,
+    0x1a7eda12, 0x4db1f462, 0x5ea30996, 0x049e4cf6, 0xf61a200e, 0xb0cc2ceb, 0x9f06ddcb, 0x25b89b46,
+    0x917ea35d, 0x62f92d77, 0x9d4711a0, 0xdb057a3a, 0x6cd11138, 0xf11cdccc, 0x83799702, 0xbec9b920,
+    0x783ce414, 0x2d22c139, 0x660fa8c5, 0x381cd356, 0x3429ba2c, 0x0c46299f, 0x6fdfc48f, 0x07d53975,
+    0x0452e737, 0x409051d6, 0x58a06b40, 0x52e8d8dd, 0x6d54be51, 0xd8cd9dae, 0x8cddab99, 0xca8f06f4,
+    0xb16c9f3e, 0x05312c72, 0x81537abf, 0x67a632d6, 0x2aeb3a52, 0xb41af40b, 0xb340eaa7, 0xb951aa9b,
+    0x00000000,
+    0xe66bc084, 0xf461e98b, 0xb9254dfd, 0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406,
+    0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000004973232364\
+                          09786642155382248146820840100456150797347717440463976893159497012533375533056 */
+  { 0x00000000,
+    0xfadfab8d, 0xcd67d088, 0x02fafd92, 0x372bab84, 0xfc4e769c, 0x8953173b, 0xd94a0785, 0xbecffa91,
+    0x59b2e492, 0x6f5a2a37, 0x7df99d3a, 0x69cc2b63, 0x6d5e582b, 0xf62b263c, 0x778ef25e, 0x3a593c7a,
+    0x626ca68f, 0xa4d3586f, 0x76ae3a71, 0xb72697f9, 0x5873b339, 0x2fc2616c, 0xf3470d3f, 0x966b9c29,
+    0x96bcac2d, 0xf8898c96, 0x5d23c983, 0xc108d06e, 0xafc347dc, 0xad1846b4, 0x36418a44, 0x3e8d3973,
+    0x31b5e405, 0x8dfa09b4, 0xa695e7f8, 0xb964515a, 0xe6bdf86c, 0x3573b5ad, 0xe5e6266e, 0x6b8f4e00,
+    0x00296ff4, 0x3fb7058a, 0x550411b4, 0xb2d3ed9c, 0x98c3ad69, 0x5d41bf23, 0x8c91ee9c, 0x55ae87e5,
+    0x2d7f3d97, 0x3458cf9d, 0x8403fbf3, 0x5feaeb45, 0x250a2e4e, 0x4fa2696c, 0xbb4fb9db, 0x0113b07d,
+    0x5bb48e2a, 0x6a5a31be, 0xade373ad, 0xd01025cd, 0x33936f9c, 0xe6329d6d, 0xe9734372, 0xced6799a,
+    0x859d8bcd, 0xc2df1b6f, 0xfaa14ee6, 0x7f59c1d5, 0xfa19be75, 0xef6eceeb, 0x71522f72, 0x6a7a3cbc,
+    0x7f5847b7, 0xdd519712, 0x3905e067, 0xa3dfdb8c, 0xe42898c4, 0x4210f5d1, 0x95c51044, 0xa6a60350,
+    0x861817df, 0xd1ea3557, 0xab085e0c, 0x7605e3c8, 0x465aca0f, 0x550e83d8, 0x5e69fe46, 0x005e4b19,
+    0x7127fc56, 0x3940c02f, 0x42c45d1b, 0x401494d9, 0x1897ae75, 0x63a4fb9c, 0x1a276494, 0x9f3c565e,
+    0x7c87718b, 0x3335f29e, 0x0b293dda, 0x2fb5688d, 0x0e1ae024, 0x2300d0dd, 0x344800f2, 0xbd3ec01d,
+    0xc50b09fc, 0xba9769ac, 0x72a33b6e, 0x43ba6628, 0x4a96104f, 0x8bca824e, 0x96494692, 0x8a88b5a5,
+    0x3b041ca3, 0x587033d2, 0xa20da514, 0x28a274fb, 0x3be3bdbe, 0x1eda18b9, 0x88e7e251, 0x7df7c39c,
+    0xf64cb40d, 0x48ba709b, 0x726dea03, 0xbb44b64f, 0x01a36af0, 0xafe6aaf5, 0x96e9d930, 0xd1a23055,
+    0xb6fd9d9b, 0xa7c2933c, 0x08a810b2, 0x39aa0e2a, 0xa7ce45dd, 0x55f165d9, 0xbbc30dc7, 0xe6c2d79c,
+    0xb44119c2, 0xedc63b15, 0xb3368ace, 0xf4816346, 0x10bb552e, 0xd3a3e1af, 0x94683ab4, 0x5dd17142,
+    0xec638a53, 0x0bfe10c1, 0x66b0d0be, 0x89d54a41, 0xafb305a4, 0xa3b7b2e0, 0xb1fd5e87, 0x35fbb768,
+    0x78deff3f, 0xa5e791ac, 0xe3a1fbf5, 0xee178d93, 0xa5994020, 0x2b7ceeb9, 0x5157a46e, 0x75bc53ab,
+    0x47f85184, 0x907c9529, 0x379904e0, 0xef612a71, 0x651a0d46, 0xbe5a1227, 0xb63923de, 0x339fd677,
+    0x9cf3bb85, 0xe64d1e19, 0x5a54b6d2, 0xde867206, 0x6cf4199e, 0x05ed1dad, 0xabfbd90c, 0x4dd4f6f2,
+    0x6a792832, 0xc0e924b0, 0xece379f7, 0x8e047c54, 0xb63ec62d, 0xd8e688ea, 0x6dc2e752, 0xc6c04f87,
+    0xfdfe6336, 0x8a50b168, 0xe144d4f9, 0x6dc1950e, 0xeb889a13, 0x73dc36aa, 0x191c6191, 0xf3e48134,
+    0x3c527b62, 0xd8686192, 0xaff19527, 0xcc4d05c5, 0x64ef4acc, 0xb935338d, 0x81a3e4ff, 0xbe92b95c,
+    0x96e64e93, 0xf3d17ae2, 0x2c4cd1b8, 0xbf951712, 0x1ae2a077, 0x96965e14, 0x475117eb, 0xc4fb0001,
+    0x1bf76055, 0x67ecd821, 0x9458c8ae, 0x2cedd22c, 0xd2d9714e, 0x5890d704, 0x1385ca99, 0xd9bf9cec,
+    0x9f55f710, 0xa23df500, 0x66967386, 0x58c7bdc9, 0xc6475f55, 0x8892ae42, 0xe5ff8fe0, 0xe5552a35,
+    0x7ea76288, 0x38d1227a, 0x002f2104, 0x134da58a, 0x8008c3cc, 0x030635f8, 0x3fc986bc, 0xb9f5ffe8,
+    0xf5231fa3, 0xa6496788, 0x295e326d, 0x857923ac, 0x1cbffec5, 0xa5f02705, 0x067023bf, 0x845dc62b,
+    0xfcd6822e, 0xae9ca708, 0x9947de78, 0x88e4eca8, 0xe3a6bc9d, 0xb5ddb622, 0x6f896d3a, 0x009cf703,
+    0xbf40402a, 0x66c439ed, 0xb0135cf0, 0x8e62abd3, 0x95c1493c, 0xdf55a0bd, 0x784697dd, 0x73e68f8e,
+    0x1b499f38, 0xaf684026, 0xb2758777, 0xd6f49dcd, 0xe169b60c, 0x54adfe91, 0xed9f6ed9, 0x8a6ec29c,
+    0x920c5a54, 0x40092beb, 0xcf2f8d97, 0xb6eec056, 0xdae0c1a2, 0x243e6729, 0xe7c34bea, 0xe2795414,
+    0xffc75d32, 0xf45e7625, 0xb2bd2110, 0x26131fe4, 0x9fc43e10, 0x61112df8, 0x659e6dae, 0xca915fae,
+    0xbd638087, 0xe7a4b268, 0x250a6232, 0x7b3cd4bd, 0x1224236b, 0x32ffd320, 0xaa8fcfe7, 0x144a4af3,
+    0xc39634c6, 0x7c4d8835, 0x70463cfa, 0x4dd4f6de, 0xa4c6858e, 0x59392215, 0x5ccc74a5, 0x1b394bcb,
+    0x2212eab4, 0xd8127c75, 0x47a1a75c, 0x3a81efd5, 0xd491b3e1, 0x0703cdac, 0x2ad499e1, 0x671be2df,
+    0xda87c199, 0xc5d3b25c, 0x3ffc9fda, 0x72b8ebc4, 0x63c2988d, 0x48cf4f85, 0x6da8ded2, 0x97e57a62,
+    0x0164d56a, 0x77d186a8, 0x8aa0ab3b, 0x80e642b8, 0xd9c680c6, 0x79c1c3bc, 0x44f10d3f, 0x0e1c0773,
+    0x8be4ce56, 0x235ea16a, 0xedd4a12e, 0x6739e8dc, 0x88435076, 0x802d9f35, 0x22d7a3c5, 0x2168b704,
+    0x58655f66, 0xaeab5c04, 0x739a4264, 0x8723cc2a, 0xbc8a319f, 0x0ce259ef, 0xcf0d0ab0, 0x64fc4cdb,
+    0xfe07f6af, 0xe6402ec9, 0x45a5e11c, 0x447ac6f5, 0xdea32f26, 0x9310ee61, 0x07ccfcea, 0x9905e458,
+    0xc1710221, 0xcb9f0f78, 0xe197ec6e, 0x02b3595d, 0x64f9032b, 0xa0a7ebdf, 0x705c87fc, 0x27eae36f,
+    0x16de3e35, 0xae7b6472, 0xa5657835, 0x0863b781, 0xd83be6c2, 0x832af6c1, 0x3cc4adcf, 0x0611a09b,
+    0x3a707f0a, 0x64aca000, 0x68f3294a, 0xa3ee60dd, 0x73541f20, 0xdaf9e9f5, 0x01fe86b1, 0x3f1ffc8a,
+    0xb52ea987, 0xbecbb20b, 0xcd058606, 0x633eacfc, 0x5c3619e4, 0x4cf617e5, 0xe29fc9ff, 0x6c555218,
+    0x97f010c1, 0x2036d6a4, 0x06ac4d5e, 0x65c2cd7a, 0xbb25f360, 0x0d864e9d, 0x7088ed49, 0x6e83795a,
+    0xf0ad6b14, 0x4ff225a5, 0xbe0dd8b7, 0xe4e64cb4, 0x25c1253a, 0x3612e815, 0x22718c39, 0xcb0008e8,
+    0xeff281af, 0x87848853, 0x00d1aed7, 0x14860f30, 0x3aa21f8f, 0x34deda58, 0x87a9045d, 0x28a50859,
+    0x4b7621ca, 0xa7f42d8f, 0xd2227384, 0x6cf70519, 0x50df7879, 0xd4713c96, 0x62fa84f6, 0xab6816c9,
+    0x1d1a6e78, 0xf564a1c4, 0x0c619d7e, 0xb08f302c, 0x4db9d226, 0xdbc7d6f5, 0x446335f1, 0xd93dc455,
+    0x0ccbc229, 0x44e17786, 0xeb75af69, 0x5e5cef52, 0xa1846426, 0xb67252ae, 0xf9d2049d, 0x8d5c93d8,
+    0x8aa439d8, 0xc9ed04d9, 0x792173a1, 0xe2117e3c, 0xc200c21d, 0x6af9fa83, 0x12810e4b, 0x29ffc0a8,
+    0x1543602b, 0xaf21abb0, 0x29e698b1, 0x63d23da1, 0x6ec5d84f, 0xc7ddd77c, 0xb9560d0d, 0xe7b9bed1,
+    0x2165f67d, 0xd8286c4d, 0x024cdd07, 0x0a4282f7, 0x3e8fc06e, 0xc9af7bfa, 0x2079d5bd, 0x241dfeb8,
+    0xf8735eff, 0x2e58bb3f, 0xb71cb704, 0xc9a3da06, 0xb0e334d1, 0xf4ed6f87, 0x5386db64, 0x446be591,
+    0x8103f984, 0x610cd391, 0x0f896811, 0xddbb4874, 0xbcd2f86b, 0xb8e7ceda, 0xa6c4c415, 0xa18066c5,
+    0xc98f9ff7, 0xf9adf335, 0x4900d71c, 0x8233599b, 0x3d21594d, 0xb33732ec, 0x2a732894, 0xe01c0490,
+    0x38276208, 0x07e2cab8, 0x2fb2ace4, 0x8c6a5145, 0x88bcf72d, 0x658eabbe, 0x7451c0e0, 0xe9dc73a7,
+    0x7466b6d7, 0x38b26525, 0xf10fcf10, 0x47e6ef23, 0x3d741c5a, 0x6132efc4, 0xb9b575e4, 0xb5e2b4d4,
+    0x373e6c17, 0xf5501a87, 0x3ebbc6fd, 0x217168b4, 0x8d07fc25, 0xa4e28bb0, 0x70ffd5cf, 0x08ac1cf2,
+    0x6816887e, 0x4878817b, 0xe31c40e1, 0xbc8140a1, 0xc42f0d3a, 0x5581f1ce, 0x377b1456, 0xd7699575,
+    0x1494bbba, 0x1b8a5211, 0x85dad34b, 0x4d442dfd, 0xf0f8b3a3, 0x27c48669, 0x48e05244, 0x0b7a8c01,
+    0x21354963, 0xe875ec85, 0x012b2bda, 0xb82c6237, 0xe02a37ba, 0x2b4f4f93, 0xd9d06024, 0xef5224c4,
+    0x4fe9845d, 0x1bed0193, 0xad2e1cf2, 0x1d5a728a, 0x47940e58, 0x5fe4da8b, 0xa53fb4d8, 0x26556492,
+    0x91a28f4f, 0x1446e218, 0xd6c01695, 0x8bcc2414, 0xd73a6981, 0x196c1533, 0x8e745f3f, 0x471a3374,
+    0xa1b7213a, 0x740876df, 0x1ecf3e3e, 0xf3c6b8e5, 0xf4a7ed39, 0x0b26708a, 0x8f115b3f, 0x8172a33e,
+    0x3d2fa3ca, 0xbbbc2cbb, 0x838b6e8c, 0xf98272d4, 0x7375acb5, 0x080ea6f1, 0xfbaa22fa, 0x1b7f7829,
+    0x0964a98e, 0x7f615099, 0x240f9b51, 0x1471df4d, 0x5713d2ef, 0xb5e260de, 0x044e68ce, 0x16b643e7,
+    0x6e323db8, 0xb92a85e9, 0xa8563556, 0x207b9adb, 0x158f874b, 0xf14e9e6e, 0x74a29e9f, 0x3556f8ce,
+    0xcb1b1b2a, 0x37f6d11d, 0x35d617f7, 0xa01a2b8a, 0x42da4c8d, 0x3bbd93f5, 0x73a4d3b8, 0xf49c3771,
+    0xdd77429d, 0x0d6d8319, 0x0064f944, 0x7b0de256, 0x21e6056f, 0x095a1b02, 0x06e7b52e, 0x0f2e6102,
+    0xa0cebfb2, 0xe3b0fd4f, 0xb32a2d42, 0x4d8fbfda, 0x022fbca5, 0x0d4ad8cb, 0x40cee79b, 0x6a012286,
+    0x292b6dd8, 0x249527c1, 0x1f6b4422, 0x355c8454, 0x402d02ba, 0x4d89adb8, 0x73f6cc88, 0xaa2b8d2b,
+    0xc592311a, 0x67847297, 0x495ee679, 0x937698f2, 0xe94d665f, 0x35908b78, 0x4c88653b, 0xfcb57be4,
+    0xaa48de2b, 0x05b86e2a, 0xd23970c4, 0x31d520dc, 0xffdfdcc4, 0xba21bb69, 0x8cf1fbce, 0xdc178678,
+    0x9a707536, 0xc0378c47, 0x35fdd5e8, 0x479760b3, 0x60fc7009, 0xe755d560, 0x91fb3518, 0x7ad53fe3,
+    0x418b4672, 0x223e2b7e, 0x46a7140c, 0x6211187b, 0x1ce07663, 0x76df3763, 0xdb4b0b87, 0xb15159ad,
+    0xac5ec7b8, 0xcbdf0fba, 0xb50ec86f, 0x20b8e0c5, 0xf6d7230a, 0x4a1178aa, 0xb1d96436, 0x628fdeec,
+    0xb89ed6d7, 0xfd9de394, 0xa1aad31b, 0x0853deb2, 0xf590f64d, 0x1dd2fb08, 0x1508d9a6, 0x61d8407e,
+    0x8770a099, 0x1a87e6f4, 0xb1f8687a, 0xae0c8ff1, 0xa76dd853, 0xe5ffeb9c, 0x5089a526, 0x2d37f91c,
+    0x4ab6626d, 0x59373b0e, 0x1dbc5a13, 0x27afb40e, 0xb9db0eb5, 0xf45c429a, 0x34e8a668, 0x0e880f08,
+    0x0bc19d41, 0x0150f51c, 0x541ff6b8, 0x34af9547, 0xa4a83c4e, 0x8e958847, 0x1af9edff, 0x660fca36,
+    0xe00cc753, 0x29324bae, 0xf3878bdb, 0xf6d25794, 0x8cfb7d91, 0x813fbbee, 0xbf68f577, 0x5fe3c10c,
+    0x6947a25c, 0x382207bc, 0xb8e8f948, 0x28a9a685, 0x8620fa50, 0xd35773ff, 0x4c58d1d8, 0xcf05491d,
+    0x275a1ccf, 0xb83f7f05, 0x1a171312, 0xb8663794, 0x002d4391, 0xa40dddcb, 0x02d0373e, 0x7065d4b1,
+    0x6a8b6249, 0xca9cce47, 0x9a9be40f, 0x420fb43b, 0x42f43369, 0x6b1ca7e9, 0x0561530a, 0xafad43a4,
+    0x02c29916, 0xaadf9ff9, 0xe364ae03, 0x96f22710, 0x572125d8, 0xaf458943, 0xba57f129, 0x18cea9dd,
+    0xea55c02b, 0x3a953cb7, 0xf3d2c58f, 0x34df830b, 0x66b3cc7b, 0x37c1d04b, 0x1c9db321, 0xab4b921a,
+    0xd4519390, 0x7a01090c, 0x5f9a9b00, 0x9f311b52, 0x8f36de74, 0xbfaf3b6a, 0xf3cdf902, 0x3d984058,
+    0xc785709b, 0x1b41ec05, 0x3107ebef, 0xeb8480c5, 0x2c97ca4a, 0xa6b97b3f, 0x3b39e88f, 0x2e027d17,
+    0xefcb1b66, 0x9d78e5a4, 0x604dc7ac, 0xaf814a7a, 0xa157c878, 0xa89202b5, 0x5c55a13c, 0x47ed6f08,
+    0x91144b9d, 0x58e2869b, 0xbf72367a, 0xa9fcf2e9, 0x4b33c15e, 0x283f9c49, 0x4e40206d, 0x08dc32a8,
+    0x9fc9ec19, 0x09432780, 0x2ca125f6, 0x38230bf3, 0xe617ffb6, 0x141d67b5, 0x401b158d, 0xd31dea76,
+    0x55027591, 0x0db90187, 0x91734e0e, 0x6833f0b4, 0xf6a49b45, 0x57c999cb, 0x502c0a27, 0xb45f41cf,
+    0x3deddc27, 0x5cf419ad, 0x61940435, 0x3b2ca997, 0x6a0a2da9, 0x6122561d, 0xe58b98cc, 0xcd4a122a,
+    0xc71cfe03, 0x0de48c96, 0x46fbad48, 0x8fc08ffb, 0x86757538, 0x681b2627, 0x52667347, 0x0e1db55b,
+    0xccc7a140, 0x1646c73e, 0x135e8087, 0xc2eee89f, 0xc6f2ecd2, 0xa7fce37d, 0x7302ff39, 0xce02ae8a,
+    0x1520a55f, 0xa4aaccf0, 0x708b676e, 0x9121b44b, 0x65855468, 0x23f9eea3, 0x40da2b40, 0xf0980cd2,
+    0xb4d366c9, 0xd0606033, 0x290bac8b, 0xf62f524c, 0x73793391, 0xbbcab4ab, 0xdd23766c, 0x3824e8a5,
+    0x77b25f86, 0xb3bf6217, 0x49e08c81, 0x53c04565, 0xe5e84f72, 0x0ecc4c8e, 0x9cd340be, 0xe969d76e,
+    0x8dec5649, 0x444aef7d, 0x6535f99f, 0xb800ab3d, 0xb39fb347, 0x4cdb9377, 0xe5ef9586, 0xa17cb3e8,
+    0xf56ae014, 0x57cf541c, 0xe149470c, 0x58a7c898, 0x97e26f36, 0xbc8d01fb, 0x294ca02b, 0x3f5a5a67,
+    0xdba22233, 0xa3970d4d, 0x936bb01a, 0x03aac4a5, 0x0ebfe4fb, 0x35ce046c, 0xcb2b09b4, 0x0d6cbd96,
+    0xe09204e2, 0x55867cfb, 0x31bc9d89, 0xfaf8cc8e, 0x360b9185, 0x4acdc9f8, 0xd68bb466, 0x4b2412bf,
+    0xf8bac5c2, 0xc768e9b1, 0xaebe216b, 0x058f4de2, 0x502b73e0, 0x61798653, 0xf5901264, 0xdff15f2a,
+    0xc6539ed6, 0xb5885d59, 0x8f1285d0, 0x21f2042e, 0xbd57651b, 0xf2941c3c, 0x4d2ffbe7, 0x5b9e151e,
+    0xc5ba9071, 0x2dadf00f, 0xacf00552, 0x8ecb269a, 0xc3239e96, 0x8c010e1c, 0x7bcd0877, 0xa68080a6,
+    0xb3f37fc9, 0x769f8ba1, 0x5ec62294, 0x8bd547e3, 0xd10ea390, 0xb5c058c7, 0x5d472fea, 0x70b9f663,
+    0x0f5948f1, 0x0dd98806, 0x2b26c646, 0x0b9e87de, 0x68d2c775, 0x0e7c6ec9, 0x91900445, 0x0026ef17,
+    0xaa2e982f, 0x3ad83ea8, 0x3d9c6090, 0xad138ff8, 0x5fc3aaf6, 0x2858d1e2, 0x196cf3be, 0xa1813644,
+    0xad906263, 0x60ab2745, 0x5439d926, 0x4d1ad237, 0x65572cee, 0x29001886, 0xf273e4f5, 0x9d72dd9e,
+    0xe977d114, 0x1b74e7b5, 0xbb1173cb, 0xc5fea79c, 0xcc93294d, 0xfaf92e94, 0x8f2f0681, 0x7e54b5b3,
+    0xd79070d5, 0x0a0266e6, 0x808e4799, 0x001772cb, 0x7c280bba, 0xe7521495, 0xd8885aa1, 0xd712ef5d,
+    0x970d8007, 0x33014ffc, 0xf78b1d87, 0x9a14472a, 0x531771b2, 0x15d11d00, 0x32349751, 0x0d5932e6,
+    0xe31b33d1, 0x7b846dd7, 0x70fff0d9, 0xd23afbe5, 0xf4e06270, 0x61dab8dd, 0x7ad504f2, 0x5bb59934,
+    0x67d4d9be, 0x3282894e, 0x5af08a0a, 0x6316ad2d, 0x31106fca, 0x58359545, 0x0326f649, 0xf7d95757,
+    0x90ffce83, 0x52409430, 0x40f230d7, 0xb8e35255, 0x8d1af1a4, 0xf9c7a84c, 0xd41aa11c, 0x056dd6c2,
+    0x8fe97a9b, 0x5b536b8c, 0x1866da25, 0x6f8747aa, 0x1ab88b98, 0x938725ee, 0x1cb53794, 0x91e52b5f,
+    0x33970dfd, 0x73c07613, 0xfaf5bdd6, 0xe2c47072, 0x386319f6, 0xb95f068d, 0x225f03b4, 0xf47cbee9,
+    0xd42c0af7, 0xea04560c, 0xf2bc0657, 0x9fc4b603, 0x2ec5b46a, 0xab12ea67, 0xb687ba11, 0x584e2cbb,
+    0x5fdbe205, 0xa86140de, 0x58776743, 0x397b561e, 0xfeaf0526, 0xe48a7f11, 0xafd98a02, 0x3b68606b,
+    0x9b6a70c5, 0xc1a97de0, 0xf7b1aef2, 0x1ad74566, 0xcb348dac, 0x5c6bc91d, 0xdfc56f4f, 0x2019535f,
+    0x618215c9, 0xbeb34be3, 0x40ef1c8d, 0x1befe336, 0x14517811, 0x56cb85c8, 0x18a0850a, 0x2255f0de,
+    0xae3e34ba, 0x5b73b3a5, 0x687a3938, 0xad3dfd80, 0x70e7e903, 0x0c0adb0a, 0x405e8438, 0xd9cfa2eb,
+    0x00000000,
+    0xf335e041, 0xfa30f4c5, 0xdc92a6fe, 0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03,
+    0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000002486616182\
+                          04893321077691124073410420050228075398673858720231988446579748506266687766528 */
+  { 0x00000000,
+    0x25d86f4c, 0x61f2857f, 0xf3e36bd5, 0x61000af5, 0x67074d76, 0x2873903e, 0x1610cd12, 0xd1954569,
+    0x9c023589, 0x49e147bb, 0x654c5cd6, 0x5fb5437c, 0x7fe079c7, 0x4131144e, 0x2c400b98, 0x483fc6bb,
+    0x03fcc4c3, 0x16db6941, 0xf09bdaa3, 0xce5a8aa1, 0x6316157c, 0x760bf903, 0x5546f375, 0x641d5822,
+    0x88d52c51, 0x1facab90, 0xd8a3352a, 0xbdde5604, 0xeaca5512, 0x6fbbd3a6, 0x73e294d6, 0xfcb67b87,
+    0xb68e989e, 0xfc3def04, 0x7e9aa7e6, 0x2908f58b, 0x1ac5b72a, 0xb4f88a63, 0xeb6fb3d2, 0x86e0e4df,
+    0xf75eb46f, 0x78ac601e, 0xbeefb480, 0x58986a7d, 0x39eb306e, 0xfca0d5fe, 0xd0317414, 0x9d5197d7,
+    0xf2454a78, 0xad26b7ba, 0x802b55b0, 0xeb167ba9, 0xb2122719, 0xdd214789, 0x678c1f02, 0x4e7087be,
+    0xed0d933e, 0x08bce830, 0x93f4a0f4, 0x6629dd7f, 0x3fd9744a, 0x55061350, 0x9e2dc7c9, 0xed6bf25a,
+    0xd43e89ef, 0x81853966, 0xf363e035, 0xd97930aa, 0xb8c063c7, 0x23c59186, 0xb505c540, 0xfc927390,
+    0x21e4df4d, 0x1ca20a22, 0x3bacfa49, 0xa5ad0d66, 0x13ba2c32, 0xdab15cc4, 0xe8cb2aa9, 0x1626450a,
+    0x0a0c2c10, 0xc83cc9aa, 0x08c23823, 0xa2108815, 0x1da16411, 0x55195d31, 0x1fbb326d, 0x28fce71a,
+    0xc6d3a968, 0x07cccbca, 0x63312b63, 0xcfe5a890, 0xb3146926, 0x4d08e406, 0xf445a8d2, 0x2fc7f347,
+    0x7d293676, 0x4d16464f, 0x083a0b32, 0x07d90b86, 0x01b20b1f, 0xeebc7666, 0xd6dfd938, 0x98edfd7c,
+    0x4a77795b, 0x02eddf15, 0xb0fea035, 0xdb5d942d, 0x59baa330, 0xb382989b, 0x20ad7cc9, 0x4f75573a,
+    0x07dfc0e1, 0x499f5363, 0x13cd50ad, 0x955205f0, 0x98bdba20, 0x0b3405a4, 0x4ecb92bc, 0x800da4f6,
+    0x584f2e44, 0x93c155c0, 0x675e3349, 0x65fd81f4, 0xb2b719df, 0xbedb25b9, 0xcc175427, 0x9de7f1b6,
+    0x0375b369, 0x3e705860, 0xa6f519ad, 0xb575c391, 0xe102773c, 0x069af9b1, 0x278d392e, 0xbb0ca8f6,
+    0xf4ea113b, 0x1c568e6d, 0x25752344, 0xa8758461, 0xc25a287c, 0xdd77222b, 0xd25ed691, 0xb1f63f7f,
+    0x39882e58, 0x26097ab3, 0xee193e4b, 0xccaf6edd, 0xb8cc6cd9, 0x734b7c4f, 0x9d2921d3, 0x7e1cbccc,
+    0xe0414e96, 0xaf19e78f, 0x440f09dd, 0x936dbbc7, 0x628af353, 0x09485add, 0x1535c2e3, 0xa023b80d,
+    0x8fda771e, 0x0afafcd7, 0x81dfe3fd, 0x3dae6ca9, 0xf6301568, 0xe93e5e97, 0x506bd396, 0x4f88ca8a,
+    0x3b0989e3, 0x12b331a5, 0x5a1cd846, 0xeb3ef8a7, 0xf15023c3, 0xe7388e15, 0x94161633, 0x703e8d00,
+    0xb30a18d9, 0xd4452e9c, 0xb6fbab30, 0xc059c3c9, 0x8b381277, 0x6c2e7794, 0x51864b44, 0xc823ca86,
+    0xca7b4d2b, 0x1ca6eed3, 0x87ea24e1, 0x0e80cc88, 0xb8acb908, 0x73807549, 0x73035025, 0x738f0313,
+    0x664232a5, 0x9e0301ff, 0x578733a7, 0xb652756a, 0x2206a29a, 0x4d997afb, 0xd8981128, 0x6b97c472,
+    0x665dc4bb, 0x2831d5d5, 0x6edb6931, 0x3558ee38, 0x324b1767, 0x30fa4f7f, 0x6ab5e154, 0x4fe0ce49,
+    0xd637d1d7, 0x85861365, 0x40277eb8, 0xd3726b87, 0x9d853c62, 0xf201cbff, 0x426a3172, 0x2e3b40f8,
+    0xcb68db94, 0x22bb1b26, 0x79fbe5b1, 0x0a7391ec, 0x7eb77c06, 0x3f1b9838, 0x81049b39, 0x037ee461,
+    0xb8126852, 0x6e16dbd4, 0x08cf4226, 0x7c948878, 0x03ffc9c9, 0x5cb22b59, 0xf78aef01, 0xfeab990e,
+    0xc9f9d073, 0x2765d1e6, 0xc06f6480, 0xb5515cdd, 0x079fcb0c, 0xe45adc3f, 0xa78c5730, 0x51315993,
+    0xd192b7f2, 0x2f1d504b, 0xb1416e26, 0x4f97df6c, 0xeb71222e, 0x26ec49be, 0x8ff34727, 0x08ee910f,
+    0x88db4f13, 0xa718725d, 0xba46bc15, 0x0b5f2d68, 0xbb051acc, 0xc84edfae, 0x99b40207, 0xbe7127e3,
+    0x2756729c, 0x277aa025, 0xd13fe35f, 0x92186682, 0x83bc4794, 0x10a251e5, 0xd51eac9c, 0xb497f1d4,
+    0xf7736b96, 0xbf941572, 0x83d23521, 0x125af20b, 0x24d9c876, 0x012c7b46, 0x8686db5c, 0x1d1986d0,
+    0xa79b3107, 0x289fe025, 0x3052e728, 0x3b12dd0f, 0x44d9512c, 0xa04329d8, 0xa3959357, 0x6aa4d15b,
+    0xbce04e10, 0x02bae682, 0x1470b3e4, 0x4a54be97, 0xe830ba8f, 0x4728d135, 0x3c5d7526, 0x017f24c8,
+    0xf772ed93, 0x300e7a0b, 0xffccf6ee, 0x532a2210, 0x55b463b5, 0xf24e04c5, 0x01f6bf93, 0xd664e386,
+    0x0f076413, 0x8385b852, 0x05a0bcbe, 0xb56a0239, 0xac0d6763, 0x223a7374, 0x2bd81319, 0xcbd862ad,
+    0x095a8419, 0x3f65b507, 0x3b0e62c6, 0x5319facf, 0x71181d3a, 0xd79e6c1d, 0x2481b34a, 0x67107fe5,
+    0x60e97d68, 0x6a686f18, 0x85e15b80, 0x5abe0491, 0x484abe17, 0xd11cf9bf, 0x00f8cd5c, 0xabc009ef,
+    0x9f3df6c3, 0xc1021e06, 0xf44f7a45, 0xe204628d, 0xc81c9fce, 0x394c4c50, 0xad4c31f9, 0x1958f06f,
+    0xf251032a, 0xe09bc8fc, 0x92b67fc6, 0x2aa38f09, 0x7be39887, 0xd12e6feb, 0x298fcc28, 0xe81249af,
+    0x14943649, 0xd666618e, 0x05f18a8a, 0xf8f19378, 0x00aa24a2, 0x90c0e0b2, 0x1bb4a23c, 0x95461b97,
+    0x8b4611a5, 0x9987a010, 0xa2817eac, 0xac5c43f0, 0xd38fa04f, 0x49bd7dd6, 0x5b24aad3, 0x2507abf2,
+    0xf944736d, 0xa94ee52b, 0x23a7ae55, 0x14917f72, 0x48e87f1a, 0x57f06e9e, 0x83cfacb9, 0x7cd1c966,
+    0x0fbc300e, 0x6fb7361b, 0x049b6cec, 0xf9f2f805, 0xb6c08898, 0x4c3ab874, 0xb8dff11e, 0xdab3a1e3,
+    0x23f8189b, 0xfae783ea, 0x2941c8c1, 0xcf84a483, 0xf34cf606, 0xf70ca452, 0x29a777ce, 0xd18da5d6,
+    0x1c256e1c, 0x1fbfa627, 0xefd2ddce, 0x68528ca1, 0x54fce8bc, 0xd7c0bf32, 0x3fe1f41f, 0x84682a84,
+    0x28e70e53, 0xc8d25cb6, 0xa11c44ef, 0x1a4a6083, 0x330b19f4, 0x5b1d09ab, 0x839daaa9, 0x08e09821,
+    0x23ed9c30, 0xaf8a7af2, 0x644264ea, 0x8d27042d, 0xd744cfde, 0x9ce130ec, 0x1ff516c4, 0x608726a6,
+    0x75178d81, 0xeee9b6dc, 0xec536fa8, 0x33e43851, 0x5a0f81e2, 0x0edfbca1, 0x214ae316, 0xc0e6bf51,
+    0x8a0d1baa, 0x76ce0107, 0x0a245c04, 0x0aa160f2, 0xcdd12eda, 0x6cad7eeb, 0x04034044, 0x1de0f6bb,
+    0x28b8c303, 0xded584e4, 0x892f109e, 0xcf56b141, 0x70a7bab7, 0xed7fcecd, 0xf454526b, 0x7352a1f3,
+    0x240e7818, 0xcb3759bf, 0x69ab709b, 0xb3b75f8a, 0x8281706d, 0xce753bd3, 0xf30e5b29, 0x07cde1e1,
+    0xc10b2f0e, 0x38d3f875, 0x8382a9e4, 0x802c2435, 0x0307af17, 0x87e9b1da, 0x85d943c1, 0xd4abf6bc,
+    0x6564b234, 0x21bb56d5, 0x39eee2ea, 0x7fec631a, 0xffdffe56, 0xff2d71f8, 0x28c30554, 0x83e83b01,
+    0xa30eca75, 0xb83f8b05, 0x76fc0c41, 0x362c486b, 0x3a918d5c, 0xc0072ce1, 0xa096d1ff, 0x104cb865,
+    0x1ea6628a, 0xd15f3664, 0x1de80b08, 0x589a08ad, 0x518dc87a, 0x52759028, 0x9f3ac7b0, 0x9a4f70b4,
+    0x2d069acf, 0x7ca01a39, 0xd020d1ad, 0x6322209b, 0x2d77d4c4, 0x461e18a0, 0x08dbb41f, 0xc567f543,
+    0xcebd1492, 0x2c1e7f4f, 0xebf7c921, 0x11425e08, 0xa054bbb6, 0xa3d503e9, 0x1bb6d41d, 0x114b6041,
+    0x6441e1e7, 0x146f1e92, 0xe04f0e1c, 0xb60d9964, 0x7d0287ea, 0x607e74ff, 0x40a2d52c, 0x221a1dea,
+    0x73d1d6ef, 0x2c3aec63, 0x9f527263, 0x2ca208e7, 0x7d666057, 0x3c8131d8, 0x790f239f, 0x6e90e136,
+    0xb73351b7, 0xa9c2ff2f, 0xfb25a8ad, 0x46267b06, 0x5b94e393, 0x19fbc1b0, 0x9b0d0ae7, 0xe4175df0,
+    0x658c1dca, 0x765bffe0, 0xcceb1ea3, 0x855b57d4, 0x3a57a137, 0x50c19943, 0x7d8472b4, 0x741c615c,
+    0x9bee8ef5, 0x1ed674a5, 0x2ba52a17, 0xf78a2197, 0x09d83ab4, 0xfa63098c, 0xaa6ed98c, 0x9522b323,
+    0xa80b0a8b, 0x1546c736, 0x2eaf6991, 0x4dae5fc6, 0x2dd4845f, 0xdc234b1d, 0x89fcb276, 0x84c73db2,
+    0x5483d727, 0x948dcb01, 0x428031b3, 0x40be4947, 0xfc58f617, 0x035a8393, 0xed38d15a, 0x09e38c83,
+    0x9de12db9, 0x76992dba, 0x56a4e580, 0xc76af934, 0x189ba8ef, 0x1d137e28, 0x566e098b, 0xd1cec7ca,
+    0x14dfca7b, 0xdcd54451, 0x4c98acd8, 0x987c2a9b, 0xb6cda2a4, 0x8c01a27c, 0x6e79e4b0, 0x8d400861,
+    0x3d6c4377, 0x35a0bba8, 0xe811a2fe, 0x8476a012, 0x192903b2, 0x699252ad, 0xe55e7f2b, 0x5e583e42,
+    0x5abf7466, 0x1eb216b7, 0x4f43eba0, 0xf21b725c, 0x93dd4810, 0xe1df3809, 0x2c25d4d6, 0x1a3b2990,
+    0xd68e3fbd, 0xe3b9bf16, 0x2261a0a7, 0x6bcbbd15, 0xd533ff39, 0xb41216cb, 0x2ef02b44, 0x1778db68,
+    0x36a1899d, 0x5366e787, 0x82dc817a, 0x04b0bc15, 0xa85f6395, 0xb669caab, 0xe927d0c7, 0xd4ca67c1,
+    0x6fff609b, 0x7047ad25, 0x6b925c42, 0xd0c64c09, 0x3c6b8067, 0x443f3c3b, 0x884193a2, 0xd920ca19,
+    0x45b55491, 0x82e0fcb1, 0x68b38fcc, 0x7fe45342, 0x6e62740a, 0x35ff7f73, 0x5129c635, 0xe7733b78,
+    0xcca038e5, 0xba0857f9, 0x89792244, 0xe78fad68, 0xad1485f7, 0x05c0dc55, 0x1bfc663e, 0x1a9207dc,
+    0x3aac0f44, 0x7765debd, 0xe3cfef38, 0x5b004a9c, 0x8116f310, 0x8c35e455, 0xeaa96e19, 0x0766d3e4,
+    0xd6814b5d, 0x82e7bbd6, 0xdd445b72, 0x7f286903, 0x8998026e, 0xa8eafd42, 0xe891a62d, 0xdf5ad4c6,
+    0x19ee5db9, 0xaf1ebf70, 0x14a4f324, 0x60ef0df1, 0x0f91bbee, 0xeaba1fb3, 0x4dbfb0cd, 0xb15bd24f,
+    0x7bf029ae, 0xa8b9059a, 0x31fe8108, 0xc9869f9c, 0x81e3fbf3, 0xa6091ab8, 0xcc8becae, 0xad64b63f,
+    0x0c4a11ed, 0x58546748, 0x62db9395, 0xa66ee60c, 0xb05b4487, 0x24a43813, 0x1dd42eeb, 0x52cfc932,
+    0xd93be681, 0xd79a53c8, 0x620fc9aa, 0x0c6a548b, 0x887327c8, 0x67e155e4, 0xb159b167, 0x2f568f08,
+    0xef141362, 0xdbfe43e4, 0xada28b17, 0xc19dfbcd, 0xe4446b69, 0xb58553ca, 0xd398f4ef, 0xb9334650,
+    0x6347e10d, 0xfc36f3ec, 0x73eac1a2, 0x092e5bdb, 0xf63f02b7, 0xed59f160, 0x9fb9334b, 0xc341d131,
+    0x0063f70a, 0xac753004, 0x2d35ad40, 0x8d1785a6, 0xd1c1b448, 0x6d6f5fe6, 0x7de08674, 0x256c6591,
+    0x282c51c5, 0x59d24f88, 0xcee33dd3, 0x0586c187, 0x1913d4e3, 0x78fcf46d, 0xf51fca03, 0xb72a61c0,
+    0x3bfb13af, 0x5cf45791, 0x48a02f77, 0x5f9cd5d7, 0x8138561c, 0x366fa474, 0x92772709, 0x9deb7045,
+    0x7aa7e92a, 0x3b4af91e, 0xf8114fe3, 0x719a7cfb, 0xb2f53351, 0x7984b8a5, 0x6fcf0ae4, 0x40312b1a,
+    0xee724589, 0x26bf25b9, 0xd5703907, 0xee8fac52, 0x8dc8c777, 0x5cc1062a, 0xd8ecd87c, 0xec86c297,
+    0x9cf42f60, 0x4ca8d83c, 0x8f5d54d8, 0xb5ceb1b9, 0x2f39ba9b, 0xf3f65617, 0xdbd79824, 0x608b8bb0,
+    0x71c035d1, 0x974f9eba, 0x1b303a90, 0x3acf5610, 0xf1cb6323, 0xdf310dcc, 0x7de5e178, 0xc45ee711,
+    0xdc81d693, 0x042e9bb1, 0xa0739ecd, 0x2b12f460, 0x4ae77977, 0xec969b50, 0x502ad1d5, 0xdf993599,
+    0xaf590aa6, 0x6a58fa4c, 0x85c38996, 0xa990f7bd, 0xdb837bb7, 0xaef9cf27, 0x270eff5f, 0xc488e2cc,
+    0xae9146a4, 0xd82e9b3a, 0x5469e978, 0x3557dca9, 0x69be099f, 0x0b0b8776, 0x01f1964d, 0xa96d1af9,
+    0xa525faae, 0xea7c0d64, 0x15eb1680, 0x27009ffe, 0x1ca755d6, 0x42acfb0f, 0x95dc842e, 0xb1a8faea,
+    0x46d324d5, 0xa4069bcc, 0x1fbf06be, 0xf9e8a10e, 0xcb49117b, 0xdc73cbf4, 0x6508595f, 0x8d225c96,
+    0x7d2d65e8, 0x622af69c, 0x0aa84bb5, 0x4c067536, 0x34b519cb, 0x42b39e27, 0x86e9bd87, 0x362d99fe,
+    0x881c1a2f, 0xd5d06ec5, 0xcf4dad90, 0x84dea327, 0x775bee8f, 0xc1a0b32f, 0x9c239fcd, 0x7e5be8f6,
+    0xf68f3cc4, 0x0d728ac1, 0xfa0e629d, 0x89a7017f, 0x16f44961, 0x8fae8a15, 0xdba62269, 0x4a8e74b2,
+    0xbeddc01e, 0xc9e7884d, 0x4f41b924, 0x2a0ea0ce, 0xcb8d62a9, 0xfdb47831, 0x14ee29fd, 0xb126fd13,
+    0x4d8416fc, 0x9526b8d6, 0x64be5c72, 0xc75a6b6c, 0x196a6cf3, 0x6b99d1f4, 0xb5f1f232, 0x11b628df,
+    0xd007a624, 0x40857326, 0x87221aa2, 0x00dfd125, 0xc31a9c85, 0x0a0abe89, 0x73233e23, 0xff9002cc,
+    0x6e4c640e, 0xb167fb7d, 0x74582c18, 0xa7f9b6c2, 0x4835fd5d, 0x98ce7cde, 0x63e0729e, 0xe5c9beac,
+    0x9f9bbbf1, 0xdc8ddbcb, 0x72780c0a, 0x95934b71, 0xcac66c37, 0x6ad313a1, 0x2ab5ed0b, 0xd27e2703,
+    0x725760cd, 0xe8bf48bb, 0xeac07785, 0x7f6e99d7, 0x6fba45a1, 0x29d511d3, 0x30de4b9d, 0xec8065b4,
+    0x625a6c43, 0x509acfe6, 0x5b5654ed, 0x5bd32952, 0x3438a282, 0xab51c15e, 0x35289e20, 0x78f29c46,
+    0xb9c6ddcd, 0xb0376fd7, 0x7ccc2d6f, 0xb42589f0, 0x6979b14c, 0xf9833a22, 0x3e747eca, 0x6cbd7c90,
+    0x94864a37, 0xb790d555, 0x26b3cb67, 0x4a662c37, 0xc23a675f, 0xef409555, 0xdef948f4, 0x20de2f5d,
+    0x5321e7db, 0x4e403f77, 0x71e94ae6, 0x7e21ca55, 0xa7bd64f6, 0x5d5c0103, 0x0f1950eb, 0x9699fb40,
+    0x261efccb, 0x0ccdcd55, 0x6446c3b5, 0x2d7bef3a, 0x17b160a7, 0x9fa6a173, 0x2bc3dcdc, 0x20f55dad,
+    0xa1504a16, 0xd1f9c8f9, 0xb402ef25, 0xc9c06fa5, 0xe900eecd, 0xb82c1b6b, 0xd4c38f6e, 0xe5afe889,
+    0x473aea88, 0x44044005, 0xa69b6569, 0x077bf227, 0x1c3ddb66, 0x35750699, 0x72700e8e, 0x5261b683,
+    0x40539b96, 0x3d984920, 0x41f4d623, 0x6a90aa70, 0xfe7271cb, 0xd024c539, 0xdcc3760a, 0x4754bd94,
+    0xec9a4c73, 0x44e7ae82, 0x4eed88f3, 0x87623b37, 0x5e4c1e91, 0x606b1dc2, 0xdb1c57ad, 0xc935df45,
+    0x5b2fe5c3, 0x4957ce9f, 0xc9d3b610, 0x1668339d, 0xa64ad004, 0xb8ac9aae, 0xc996c501, 0x29f3a131,
+    0x9fd6206b, 0x1c277428, 0xdbd1173d, 0x0de9b161, 0x0eb5f3cb, 0x5ee6615b, 0x281deade, 0x77a85fac,
+    0xc51209a5, 0x29f7db39, 0xa75ab935, 0x5c566aa0, 0x26c42770, 0x874e2e40, 0x1601656d, 0x8b7b51cd,
+    0x112ea065, 0x37d9cf18, 0xbaa81517, 0x8ecb647e, 0xf4dc83ff, 0x75b01a55, 0x1e6eb5af, 0x5cff4696,
+    0xdaf20cab, 0x5ba50460, 0xa36694e5, 0xa86ae953, 0xba3bfcc1, 0xe1055cd1, 0xed0ac9df, 0x4c8dfa7a,
+    0x874ca786, 0x642e8d12, 0x7d51fc4b, 0xc3a2bae4, 0x9617e329, 0x6504b1aa, 0xa47bb548, 0xe072be14,
+    0xffd9c1c8, 0x189dab44, 0xb9b2484c, 0x380b7f24, 0xa99c95ff, 0xedc686f2, 0x8997c398, 0xa438bfbd,
+    0x49e7d510, 0x87c32136, 0xc5419790, 0x586f5c00, 0x1670830d, 0x5b459175, 0xdc9e5485, 0xaf801145,
+    0x551b9678, 0x9daff8f2, 0xccc57fa8, 0xf4acf117, 0xf4fcc416, 0x3055c031, 0x4e8cabb2, 0xdd2b9ef0,
+    0x4758c8f3, 0x9ff8b60a, 0x53981d26, 0x0a1405e8, 0x7a3da61e, 0xabe682af, 0x77a0b2ea, 0x8e2dfea7,
+    0xa135ade5, 0x5c8f6e43, 0x5ee75def, 0x455af859, 0xdfa9ad8c, 0xf1270f51, 0xbb7ca142, 0x10ed059f,
+    0x8b3e03ce, 0xe9e13e95, 0xb2e9bff0, 0x88dcf989, 0xbe2b5df1, 0xc7b1459b, 0x630114d5, 0xa6f8f63d,
+    0x00000000,
+    0xf99af020, 0x7d187a62, 0x6e49537f, 0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501,
+    0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000001243308091\
+                          02446660538845562036705210025114037699336929360115994223289874253133343883264 */
+  { 0x00000000,
+    0xed26eaab, 0xa79cbe66, 0xf1f3901c, 0x1804a4a5, 0xadb6606a, 0xf146df41, 0xcf726838, 0x14dbb6c9,
+    0x58465b1f, 0xed3b252f, 0x9858a07d, 0xf9cb2c57, 0x194fec63, 0x62aca3ee, 0x3849e78a, 0x33e5db42,
+    0x30ec2fee, 0x34b0a4b9, 0x232eec7e, 0x915dd0e2, 0xb3fae0b6, 0xbfef48e5, 0xdbed1cb5, 0x5e7b7f50,
+    0x3fcfd2b4, 0xd700041b, 0x802a6934, 0x24ef3a6b, 0xc4b7e431, 0xf69fdbfd, 0x82697a49, 0x2f5c1557,
+    0x10cc5df2, 0x1775753a, 0x519a4315, 0xc37de68b, 0x6198109b, 0x630a10b2, 0x32b02302, 0xb4325c24,
+    0x1482d661, 0x3f8fde06, 0x1e37a71b, 0x407ca694, 0xfdc6164a, 0x262c73e6, 0x9cf7533d, 0xdb28577f,
+    0xb5acc855, 0xba074cc0, 0x8ce684cb, 0x931a594b, 0xff97d0c5, 0x3acc49e4, 0x887d7ff7, 0x736ae591,
+    0x49a3067f, 0x853eff2a, 0xa17ba9ff, 0xf8bbaf18, 0xf68f0aa6, 0x279f057d, 0x229a2b88, 0xf1a5e7cb,
+    0xba64e1fe, 0x5d27c76b, 0xd947a24e, 0x93ff68a4, 0x32fb6e43, 0x206b007c, 0xb1ce30a0, 0xa0f67fd6,
+    0x41cbcef4, 0xa45c0baa, 0xd41c2900, 0x2e0582dc, 0xf93f7ba6, 0x43c52585, 0x43f5f8f7, 0xeaf12f5f,
+    0x15612811, 0xa28a8654, 0xec311ec5, 0xd607a4bf, 0x679fb635, 0x769a4cb6, 0x7ae92de1, 0x462221f1,
+    0xbdd8c0b5, 0xa42edb2e, 0x70097c6b, 0x483e502b, 0x3699af6d, 0xeb89d8ac, 0x753ddfca, 0xf3f49ae9,
+    0xf4524d91, 0xc5bed5fb, 0x676642dd, 0x55eba10b, 0x6f85c6b3, 0xd517c6cc, 0x98ae9e89, 0x4ae0cb0b,
+    0xaf69cc02, 0x17b5c876, 0x62c23450, 0xe71df096, 0x6a54bffb, 0x0d66ceec, 0xd33e6792, 0x685a9ce0,
+    0x42a16040, 0x53139aae, 0xdaaf5666, 0xaab2f081, 0x774f239f, 0xaa5c2a0b, 0xb574464d, 0xc3095995,
+    0x5435ab65, 0xf37c1aa2, 0xa7f71955, 0x0048f51b, 0x3e221a02, 0x327794e0, 0x24f3c6ab, 0x1fb0ba79,
+    0x9206cfee, 0x769e0a06, 0xb4e05a39, 0xdba25315, 0x3095f749, 0x5325cc99, 0x66bbb890, 0xd42a1039,
+    0xb2e26852, 0x7ded8cc6, 0x9e487c16, 0x660dbff1, 0xc9c5ba50, 0x2745712f, 0x99668291, 0xe17628c1,
+    0x4c86b108, 0x7518d07f, 0x612c306b, 0xfdd2e966, 0x4ec2394c, 0x639715ed, 0x3860de8c, 0x616ade11,
+    0xebbdb28e, 0xd73361d1, 0x841a52ee, 0xc85fb224, 0xc4cd8446, 0x8f2ed428, 0x9c33252c, 0x6721fb0d,
+    0x085a694c, 0xf3a4173e, 0xa8dc0d2f, 0xc59a9cf8, 0xdb4e95f5, 0x7d8132ba, 0xce3d9138, 0x5bbeebc4,
+    0xceb11d2c, 0xa259a5fc, 0xf55d13b6, 0x63ed778c, 0xe7faf1dc, 0xe6920406, 0x4acb7917, 0x554a3886,
+    0x8e28b894, 0x7eec7b4c, 0x1af399bb, 0x7e02883a, 0x6e4e9031, 0x48b5d83f, 0x1bc2ec4a, 0xcb747b92,
+    0x59befb0c, 0x0378e15f, 0xb5ed8e29, 0x152e4365, 0x65718942, 0x599d8076, 0x63f86c2c, 0xed8e3faf,
+    0x9eb7df6f, 0xeb8d34f0, 0xad326814, 0xf23e6642, 0x8748ab12, 0x099704b9, 0x9add5276, 0xfb7d95ae,
+    0xadad9127, 0x268a664f, 0xe03c9071, 0x5c59114c, 0xff8bfc2b, 0x3ee1821e, 0x2cbd206d, 0xfb270782,
+    0x4d8fb8e2, 0xa63d413b, 0x89b29387, 0x03021861, 0x204452a2, 0x189432d3, 0x9d381f18, 0x19e55b2b,
+    0x2a8cc7e3, 0x8d2608b3, 0xca909fa0, 0x1f38323a, 0xcecae65a, 0x71e50b99, 0xb03ac612, 0xf587b512,
+    0xfde12594, 0x119c6211, 0x8afe9b0d, 0x8f5554da, 0xea321a67, 0xc22d97b5, 0x6b4ec494, 0x2b97556f,
+    0x8361c7f7, 0x01f615d3, 0x6fedde3e, 0xafa69608, 0x773e0de8, 0xef57c85c, 0xb8ea00f0, 0x831ff377,
+    0x2aa52e10, 0xcae46c48, 0xcb5eee6f, 0x8922d53e, 0x63aee2e6, 0x8f813407, 0x629b1d75, 0xec679529,
+    0x8a5aa40b, 0xd7ca2060, 0xd21619e0, 0xe65f1bdb, 0xca53de90, 0x38d4e228, 0x81ebcc82, 0x9e83f11a,
+    0x7e0ad3ef, 0x98ad3fdf, 0x7762b155, 0x75ae8bfb, 0xf4dbc14c, 0xa5d0eaf7, 0xb79f81ed, 0x3ad4f187,
+    0xb6b32cdb, 0xa102fd8a, 0xc4fbadae, 0x1cb7eacc, 0xb3e410b4, 0x8824daf4, 0xbdd4f34e, 0x04e6ab07,
+    0x9e2b28b7, 0xf9422ab6, 0x834f034f, 0xb79beec5, 0xa1034204, 0x58a044c4, 0x65bbf309, 0x62545710,
+    0x3396f6d0, 0xabb7e068, 0x86ba886d, 0xc03dcbfa, 0x7d7aae2d, 0xb45d2053, 0x8254e8c8, 0xca9cbdf3,
+    0x30d10b2a, 0x45625aeb, 0xac78ba71, 0xfa912fa7, 0xf4647d3b, 0x5f33826d, 0x77073163, 0xb7211901,
+    0x59c59c66, 0x0b5a1845, 0xfa358a3b, 0x28906595, 0xa4d87487, 0xe45226dd, 0x59888a65, 0x850919f1,
+    0x2cba779a, 0xd69b2f69, 0x4c5f3f11, 0xd0849b78, 0x2ddd528a, 0xb7f7f16b, 0x456d4d00, 0xb10e2078,
+    0x0ba41d1f, 0xbc1025a6, 0x193fb132, 0x8488b383, 0x520eb744, 0x273a3ea4, 0xaf2c0418, 0x99c18fff,
+    0x3678743e, 0x59c37dd9, 0xf942db0c, 0x4e3c81d2, 0x79d6bd3a, 0x96f8104b, 0xa3233e24, 0x7a61e036,
+    0x8e021a11, 0xdfd954f2, 0x6889fdd1, 0x142db51b, 0x996728f3, 0x9c12d8a0, 0x58bf22e0, 0x0ba98314,
+    0xea465ddf, 0x5a8b6435, 0x45a3a297, 0x65cc63c7, 0xa68191ef, 0xd3c619cf, 0x829f0db3, 0xfade8a1b,
+    0x96427bb9, 0x2306dc36, 0xf9eb55c1, 0x749c39df, 0x87406581, 0x80b48aa8, 0x313a4f32, 0x61f47268,
+    0x6beb66c0, 0x869ede0d, 0x38bbf14b, 0x388f7d4e, 0x2ca62ca1, 0xa22d0f79, 0x43c12439, 0xe61d89a2,
+    0x6bcdb6f6, 0x92e9f1ee, 0xa2e36b54, 0xb13a81d1, 0x46a780db, 0x2544cdab, 0x699023aa, 0xb7e5c5a6,
+    0x8121c464, 0x8570e7e0, 0xa7b572ef, 0x88b1480b, 0x16aed3c1, 0x37460430, 0x69d90bfc, 0x44e170bf,
+    0x7dc5bf25, 0x3c0f9685, 0x6503393f, 0x79833084, 0x760bcefc, 0xa6e67ea3, 0x1779cea6, 0x4b4db733,
+    0xfacddeaf, 0x52f37f7e, 0xae14240a, 0xc3bf6854, 0x24c4419e, 0x3b4d8716, 0xb352b2d4, 0x8af7b3a8,
+    0xb8bc541f, 0x241fd377, 0x7852b5fb, 0xa505f091, 0xbd557834, 0x3e4e7834, 0xb01c88a5, 0x7540b190,
+    0x45692072, 0x4922da47, 0x22c45f0f, 0x39199a35, 0xd4d42941, 0x23efdbfc, 0x771376f1, 0x923071a7,
+    0x5d27d9d8, 0xe5ecf01a, 0x3089670d, 0x87ff6b4b, 0x3822bcdf, 0x9e9e046b, 0xae2e23f4, 0xb99cd5fc,
+    0x74d478ef, 0xb1aa9cac, 0xabd21eb5, 0x66eee296, 0xc261c01b, 0x0b52d3bb, 0xece87cba, 0xeda678a7,
+    0x662457f1, 0x26cb4324, 0x70798b15, 0xb5de35ec, 0x591e0007, 0xf7e249e6, 0xaaf6ada1, 0x21d151ac,
+    0xceec3b2a, 0x988bb0d3, 0xa89b9afc, 0xf46e1e70, 0x117a560e, 0x86f703b9, 0x6d1872f5, 0xbc898ac7,
+    0x26728cf7, 0x1c58561c, 0x687c3fa4, 0xa97cce97, 0x01c0521f, 0x2186448f, 0x09850fef, 0x89091e64,
+    0x3efb42f7, 0xe05cbc85, 0xf4c243e8, 0x30fb3518, 0x7b9e4fa0, 0xf655ca71, 0x498d6a8c, 0x2c571a5d,
+    0x6cd654cc, 0x848a244a, 0xd1f77d7b, 0xe37a2dfd, 0x384f41ba, 0x36eeb447, 0x7b658c53, 0xc9e0a571,
+    0x7b2cd366, 0xc2cff8ab, 0x28528f9a, 0xc5eb0aa4, 0xafd65a03, 0xb4e50018, 0x27eb0b19, 0xf60db84e,
+    0x29ecafb7, 0x7908eff5, 0x4f05b336, 0x2a181121, 0x155ae6d4, 0x598e1ac3, 0xdf499d92, 0x98638647,
+    0x646630f1, 0xdd7a2637, 0x6d5292d3, 0x5e710b1b, 0x07482a30, 0xab41d1e7, 0xc786989e, 0xb9cae1c5,
+    0x2af52b48, 0xa99e0080, 0xa34e78ac, 0xf0ab0b3e, 0x8e4ac242, 0x5d33cb4e, 0xe21ce792, 0xbed8f18e,
+    0x2fe0cff2, 0xea9111a7, 0x27ce4dbf, 0x27ea6d78, 0x55f035f8, 0x583fc4ea, 0x43d39f2f, 0xa673f931,
+    0x1724afed, 0x1a56e0ed, 0x7f4bb537, 0x4629ed0e, 0xfc2a4a7c, 0x686980eb, 0xb2273b9b, 0x3e295fa4,
+    0x18f87ce3, 0x266e41be, 0xb157c024, 0x82a7b343, 0x253fcd5c, 0x2fa48e74, 0x25f2501e, 0x04b65747,
+    0x12ad8190, 0x774c3292, 0xae8f900d, 0xec46a1bb, 0x873980ba, 0x7e81bca9, 0x64983d34, 0x01c9fe2a,
+    0xd2ab73f7, 0xc93beba3, 0xe2d1d1a2, 0x4f76cf0d, 0xae2b42fb, 0x2697d8bb, 0xa415e239, 0x1a40be67,
+    0xe527628b, 0xac967e35, 0x9b983056, 0x8799872b, 0xe37a266e, 0x45e0e56b, 0x9721127d, 0x4d6ca572,
+    0x684a95da, 0x1c027b5e, 0x5511aad1, 0x043d5e7d, 0xeae3752e, 0x8f8596b5, 0x4d846e51, 0x96a52df3,
+    0xe2e9eafd, 0x701a834b, 0x135bbd43, 0xf2dd2bf8, 0x4842a385, 0xc82371cc, 0x4d8b6531, 0xa31daf55,
+    0x1d92fd0d, 0xa0bb6f02, 0xa4884bae, 0xafa15cde, 0x59e026a7, 0x32db2f35, 0xa363bf06, 0xd0bb1b63,
+    0x800f6035, 0x4287139b, 0x368ce7c0, 0xbb1d749e, 0x29b83653, 0x12667233, 0x3ab3db0e, 0x8628d01a,
+    0x158d5b08, 0x950f4d97, 0xd96f2780, 0x8b4d349e, 0xddc8df10, 0x4470d5b9, 0x72da248d, 0x18f26d73,
+    0x5fe2264c, 0x4d986e77, 0x8fea5b65, 0x56064fc3, 0x5bb5906d, 0x0ef3d17f, 0x96e76c3d, 0xb28145c7,
+    0xdabe2ce9, 0x9f7319e9, 0x5ea2199b, 0xdf4518ed, 0x862d7919, 0x8cf1c9eb, 0x7eaa6e4c, 0x6c035795,
+    0xaae5bc2a, 0x113fb1f3, 0x329d7f08, 0x5b7e6340, 0xd677401a, 0x1ae99195, 0x102d5a5c, 0xdde38d07,
+    0xecd662ba, 0x3646ad47, 0x929a2e04, 0x66311270, 0x35886d08, 0x2c9135c5, 0x1ad9780a, 0x5df6dbd2,
+    0xe3242d10, 0x0ff43d14, 0xc98c7742, 0x867f7bc5, 0x324d179e, 0x3e2cbc7b, 0xe1486e70, 0x6d2b5793,
+    0xca7a38f5, 0x0985b4c5, 0x04866880, 0x932c9810, 0x8de6a16a, 0x58321ff9, 0x7ac26f07, 0x3f06e0a3,
+    0x249ff2aa, 0xf2d7769d, 0x84de4426, 0xc15ee64b, 0x6723ceb9, 0xfac19747, 0xb013b0de, 0x51352ca1,
+    0xd1911999, 0x9db95dc9, 0x7d5a3319, 0xa5e8a687, 0x2965bbd3, 0x99f48bc2, 0xa786205a, 0xa7547d14,
+    0x2730dd3c, 0xa1603406, 0x06730aff, 0xd0a6ba98, 0xe850861e, 0x3c350ff0, 0x95bc3273, 0xf1057aa7,
+    0x54b1495e, 0x47fe9faa, 0x6582d8cc, 0x8d988011, 0x6e466390, 0x37b47a31, 0x5e423312, 0x6c5ce39a,
+    0x7083b8c0, 0xadc10c54, 0x1ba89271, 0xb881d699, 0x2a59804a, 0x8d8b8dce, 0x5ca8148e, 0x511c21ac,
+    0x5d2b19ed, 0xa948b771, 0xd1eb2e5e, 0x2774214d, 0xc351347e, 0x85881e58, 0x1f7f4b9e, 0x7549e8e2,
+    0x247a188f, 0x3ef47367, 0x6c652562, 0xd23b65a1, 0x345657bf, 0x6f6b2174, 0xeffb8092, 0x059fb8a5,
+    0x4e16e487, 0x3f54e7b8, 0x7a654c93, 0x9ca96d03, 0xa96d3d7c, 0x0821a47c, 0xa33abc10, 0x52dda752,
+    0xbc2acb00, 0x163ce6dd, 0xb69dc326, 0xd81f97de, 0x0abe2e82, 0xe47ddbff, 0x85aaa4ed, 0x28c01f3b,
+    0xc5bae506, 0xc5460e83, 0xd3ff96e8, 0x361728dd, 0x28389791, 0x0a3b96a5, 0x27182a20, 0xcb024c89,
+    0x20b80798, 0x7b7f6494, 0x0722ee0c, 0x1ae5c433, 0x99655cd8, 0xcbaeeded, 0x9ef4c307, 0x5147b078,
+    0xd34dfd9c, 0x41958b49, 0x12800cf6, 0xaec2def0, 0xe593719b, 0x85f42276, 0xb2ff5e15, 0xbc6d8d06,
+    0x24a180f2, 0xd26b3f03, 0xb6e9e055, 0xf5c8cf04, 0x5511e856, 0xb045e810, 0x0d15645f, 0xc269a053,
+    0xffb9044b, 0x5883c305, 0x6631feba, 0x4a131457, 0xbd2c0431, 0xabe01f7a, 0xa4b53fea, 0x31b63486,
+    0x04d0d31e, 0x249381ec, 0x0e061d06, 0x5da6b045, 0x1dfb166e, 0xbd3b2505, 0x0446bd81, 0x56ba67f3,
+    0xcea9abac, 0xbeffd482, 0x24e4e4b8, 0x681945f7, 0x68dad205, 0x52868a43, 0x4c150654, 0x43bd691b,
+    0xa634074a, 0xae8ae12c, 0x06b6b678, 0xa45ddb2c, 0xda83cf17, 0x904197e5, 0xa3aaa5a5, 0x460cb5c3,
+    0xb883a4d6, 0x3d10ff0f, 0xe62e8366, 0x32261036, 0xe1671f88, 0x9ffa5d53, 0x3f746b01, 0x42628377,
+    0x54b9d813, 0x7a9f624f, 0xd2311c86, 0xc1c05fa4, 0xf3db6ac2, 0xa2b802b4, 0x674485d2, 0xc281aefe,
+    0x5393db2f, 0xcb7b58df, 0x3bf372b6, 0x85954b23, 0xb353f9db, 0xfcc82eb6, 0x87b8aa1d, 0x13c1ccf6,
+    0x92d8b271, 0xe356cd3e, 0x332bd4e5, 0xe5280a91, 0x307e837f, 0xd45b0abb, 0x5d54b606, 0x7c682383,
+    0xbba0c70f, 0x3eb3fed1, 0x32134528, 0xb3071c22, 0x9df98634, 0xdf3527ec, 0x81e438bc, 0x0a8600ee,
+    0xb31d9092, 0x7358a3d9, 0xb1088811, 0xbe45b5ad, 0x59b2c764, 0x2ec956a4, 0x91083479, 0xd9007fac,
+    0xf4afdf41, 0x8f441187, 0x792fbf09, 0x1c637797, 0xbd600f69, 0x0ba9af58, 0x52e70c64, 0x9b38761b,
+    0x2f318210, 0x855f4c13, 0xc83d9848, 0x569293f8, 0xe9857176, 0x82e3cf1f, 0x46ee5d4a, 0xee0c73b6,
+    0x004301a1, 0x3c59c49d, 0x6a2c0a3d, 0x9cd9f665, 0x23ece29d, 0x9219b45b, 0x5082e48e, 0x27d95bb7,
+    0x56649050, 0x45c0caa6, 0x9479e07a, 0x5896b2bd, 0xaf901505, 0x7c004ebb, 0x6f3cc7b6, 0x85d333b8,
+    0x79ecd0fa, 0xc7147e78, 0x8251fb7f, 0xe3330b82, 0x252b7aa3, 0xc363957e, 0x10da1a50, 0x9a85cd7d,
+    0x45722e5b, 0xceb6c2ce, 0x5797593f, 0xd00db180, 0x0d6ba852, 0x1012ec50, 0xeffb3cf5, 0xf72fc715,
+    0x38225be6, 0xbf581cc6, 0xa9f081bd, 0x14bdd6e1, 0x4fe1abd3, 0x7d55cf0f, 0x3c016751, 0xed2f49a4,
+    0x1e2ec282, 0x14805817, 0xf6905728, 0xcfd48dee, 0x72ebacb3, 0x0548014f, 0xc89fb7b7, 0xa83c525f,
+    0xbc2f611d, 0x406b15cc, 0x64a8ae10, 0x44cff45a, 0xd4ad5d09, 0x070634c5, 0x20660034, 0x15a01afc,
+    0x0e398e83, 0x71381684, 0x7299d07d, 0xd5eb2a0e, 0xea56818c, 0x4040c4d5, 0xe162919c, 0xd72b9f4f,
+    0x49e7e6d3, 0x71bb3aad, 0xe81f97d9, 0x13df1bf5, 0xc9b249dc, 0x4f840275, 0x990c8aa1, 0x65015791,
+    0xa6ccd0d3, 0x1a5b662d, 0x5b88928a, 0xc3d8e061, 0x16b0654a, 0x64f23c12, 0x0179d997, 0xdcfc89fa,
+    0xbffeb8b2, 0x62aa7431, 0x262db800, 0x0197d67f, 0x1a85219f, 0x1cd8f84c, 0x0542ca64, 0xb1d5722c,
+    0x41ab6021, 0xc0839b10, 0xa2526ded, 0x01b70e68, 0xf28a5911, 0xaa89d888, 0x2435b37b, 0x09b5acce,
+    0x038ef206, 0x2bdf6140, 0xefebf609, 0xcd2a2806, 0x9f12a21a, 0x20a6cd60, 0xcdcef0cc, 0x124bce4a,
+    0x71ce0174, 0x8649d619, 0x86621cc0, 0xa3466de6, 0xd801645b, 0x6e91a4b4, 0x672ff1dc, 0xb60f7a43,
+    0xec45731e, 0x19dd8c08, 0x7a6b1d0c, 0xfbeaa993, 0xceda7572, 0xb5fa0997, 0xa8ff0fe2, 0x9b2d2009,
+    0xdd1e3422, 0x8ad5f601, 0xd98c15e4, 0x276657e8, 0xb6646693, 0x2c36c0b0, 0xe03db348, 0xc4b44fee,
+    0x75f17196, 0xe5029149, 0x2fa9b702, 0x129cbbea, 0xd048aa12, 0x0f75123b, 0xffaba4c8, 0x3b22cc7c,
+    0x62053bad, 0xa1e58558, 0x13c831b4, 0x11a05fad, 0x2b34d4a0, 0x3d35c65f, 0x0cc00326, 0x2e38b468,
+    0xb9c83469, 0xa6dfa35b, 0x52a2cd62, 0x103f26fa, 0x37bf05c6, 0x45539f75, 0xe698bdf3, 0x079ccc14,
+    0x61ff82d4, 0x374f051c, 0xf6419cc4, 0xb1b827c8, 0x3c67780e, 0x32a901f6, 0x8a339fc5, 0x6743f310,
+    0xec84fcb1, 0x071ad125, 0x240a6030, 0xfe99ac30, 0x8cf9c6a6, 0x569bb5da, 0x07bc41d9, 0xa65a0d8b,
+    0xafd84cc4, 0x549204a0, 0x4bd7fdd0, 0xc46fa4cb, 0xeded1e6b, 0x68097687, 0x50dbe307, 0xcebfa0ce,
+    0x00000000,
+    0x7ccd780f, 0xbe8c3d31, 0xb724a9bf, 0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80,
+    0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000621654045\
+                          51223330269422781018352605012557018849668464680057997111644937126566671941632 */
+  { 0x00000000,
+    0x0f5196e5, 0x070daba5, 0x3f99477d, 0x8ef9686e, 0xdafb110f, 0x7dd918d9, 0x8afed7c1, 0x3a08fa81,
+    0xd2730ff4, 0xa0fcf5d0, 0xf49d6584, 0x7ef7a760, 0x204dcaa4, 0x2a847542, 0x4db73bd0, 0x48c0dc19,
+    0xbd6b1b43, 0xf3ae6090, 0xfb9c1966, 0xca0f6b09, 0x8959f06d, 0x5e9974f4, 0xe0fe157f, 0xab1a5f45,
+    0x83a14b7e, 0x5f9e9895, 0x6ee6b4d2, 0x51d10e8d, 0xe24bf3ba, 0x8ad3b4c0, 0x954d9c25, 0xbdc13499,
+    0xd4f06570, 0x865d0185, 0xfcbbc803, 0x568c0549, 0xd7bfe018, 0x47e85125, 0x7f4963f9, 0xca75c208,
+    0xd2ba232b, 0xb27f6f7d, 0xbf1433ef, 0x2ac3d155, 0x5703e2ec, 0x77a3353d, 0x0d12efd4, 0x30d98eac,
+    0x0b45bbc4, 0xbde8c216, 0xe4a8adaa, 0x56175025, 0xcc054ec6, 0x8b7cb300, 0x567ec89a, 0x4526acdb,
+    0x08129147, 0xd50bd675, 0x0af424b5, 0x80432179, 0x2fa9704c, 0x1fee676b, 0x5941d31c, 0x38e5e6b5,
+    0x90747d41, 0xf282db34, 0x22b9ad4f, 0x36cc8ef7, 0x2aa1fa54, 0x349ec723, 0x3c4da256, 0xd7510a76,
+    0xb3df5bc9, 0x55e83b9b, 0x893ec4e7, 0x1d8fb97a, 0x5d805483, 0x8db09bf8, 0x42239f1a, 0x25656320,
+    0x8e3f8328, 0x5f9fb843, 0xb8c44847, 0x011c9362, 0x35b63312, 0x323eba3e, 0x0f3fd6b6, 0x84999c9f,
+    0xb6274a71, 0x745e6680, 0x55117042, 0x4d2425b5, 0xadbf4ca2, 0x5559bbdf, 0xd150a1ae, 0x923861d7,
+    0x72647455, 0x64318410, 0xd4254845, 0xab9dbf66, 0x329bfcc0, 0x0a4868cf, 0x2eb542d1, 0xe9cf86d3,
+    0xc02c6335, 0x6dc2bb27, 0x17d70f86, 0xa1a71b2e, 0x43543551, 0x9966e5e3, 0x5941b962, 0x8d743fcf,
+    0x31724da5, 0x49a2cd21, 0xc7f754e6, 0x9a24f1a1, 0x55c793a3, 0x1f2f0731, 0xfd008934, 0xabac4972,
+    0xefcb4bc5, 0xd87c23fe, 0xfc96b8e8, 0x8303069b, 0x660e6b28, 0xff5ab9f4, 0x649bd27e, 0xbf708f12,
+    0x80a74980, 0x8c27a283, 0x3a6e0d61, 0x8dd89da8, 0x1b1e4560, 0xa2daff2e, 0x47e62b2b, 0x779a3e0a,
+    0xee67d077, 0x2ffdeecb, 0x4e469243, 0x4e96f230, 0x0b096be9, 0xbf50cf17, 0x206453ba, 0xc7411f84,
+    0x15c6eefc, 0x2b83e0f8, 0xa83919bf, 0x2fb86a5d, 0xecb6bf64, 0xe90d21ff, 0x3c3837a6, 0x26ed95ef,
+    0xa188e840, 0x038ce9c9, 0xd5f10b22, 0xf2300201, 0x7c52a607, 0xee944dc7, 0x420f9e46, 0xb7892971,
+    0x604f6e11, 0x687dab5e, 0x68dd3e84, 0x1b19533d, 0xb1b92d74, 0x5d00daca, 0x8958359e, 0xd72a932a,
+    0x90e85e11, 0xc41e48e0, 0xdc0d73f2, 0x194d5c64, 0x87fc2577, 0x470aa09a, 0x1f985eaf, 0x97551be3,
+    0x154e98db, 0xc1f49612, 0x47f6ba29, 0xfa46af71, 0x112ff81e, 0x950c7f5c, 0xa80278d4, 0x29010231,
+    0x38e2b0ab, 0xf2296ec5, 0x779679f5, 0x6cac7b77, 0x0cf137ec, 0x9153e3eb, 0x26e33d20, 0x989803b1,
+    0x95ce88df, 0xd2eb648b, 0xb309ef2d, 0x6e32d05f, 0xc4a511e6, 0x2af3c96b, 0xc945106d, 0xec441e3f,
+    0x041633c0, 0xc9ef4f9c, 0x4e5e2771, 0x9a4e2718, 0x2caba629, 0xa60858a9, 0xf87b57d1, 0xf07bb82b,
+    0x10874c1d, 0x8ef1b5b1, 0x0e34d3c2, 0x5718162f, 0x558cbb35, 0xf506bbff, 0xb50a58ca, 0xc7b94aa9,
+    0xd57ee5e9, 0xc12fc357, 0xf6390411, 0x3796b3e2, 0x7574ae17, 0xd88de870, 0x2d1484cf, 0xba5bf930,
+    0x6766318b, 0x651b5bae, 0xcc07f51f, 0x4c1bd3f7, 0x72156ce2, 0xde5ef354, 0x363b4181, 0x31983bc7,
+    0x1cbd7675, 0x7ba660ab, 0xb018e54f, 0x7c036cc5, 0xeecf9fe3, 0xf77c99fe, 0xdd9233ca, 0xaa796922,
+    0xd5cc12b9, 0xd6668791, 0x4ecf11f3, 0x3f7d770a, 0x3f60f52d, 0xff4204b6, 0xe370af18, 0x0cf82cab,
+    0x6597cc53, 0x25e91765, 0x05288325, 0x716e42b1, 0x21eea8ca, 0x342a7e52, 0x82d0a726, 0x41df8e06,
+    0xe88f2ea0, 0x36c6e5b5, 0xc5b9532d, 0xa81e26ad, 0xf1752742, 0x2d03d5ac, 0x6b16b291, 0x3a883b31,
+    0xbe8c87a1, 0x3aaae93d, 0xf5793f67, 0x732dbbfe, 0xbaf954f9, 0xc861db2a, 0x613c3c1a, 0x30b781df,
+    0x7a2d5ea0, 0x4805aa06, 0xdb7775da, 0xfd27cde1, 0x16a36273, 0x691a0843, 0xe3fcb9f7, 0x7c00cd59,
+    0x3e363a2c, 0x8192d93a, 0x4608966f, 0x72cb27a2, 0x05e03886, 0xf684aedf, 0x0049f6b4, 0xc97282e5,
+    0x9859d494, 0xf34a9ffb, 0x96dd4488, 0x466cbc75, 0xf316205a, 0x3923f7f3, 0x5a4cf51f, 0x3ca94ba3,
+    0x3bfd0126, 0x1ca5ec0b, 0x5936147c, 0x998be9e6, 0x92e9b7ee, 0xa1b8483e, 0x829b7a54, 0xcb99e01a,
+    0xcc338b40, 0xdba50ae5, 0x266fc105, 0x27b2cb4b, 0xdeea2dac, 0xc874600d, 0xa331fa2e, 0x6705b896,
+    0x42c340f7, 0x31556147, 0xb94911c3, 0xdecea2ca, 0x6ccb103e, 0x57a1e851, 0xf20fb9b8, 0xbd8cda2d,
+    0x3d0770fd, 0x752f6203, 0xaf9422bc, 0x4166724a, 0x078d39b4, 0xc9a789de, 0x70c5f84c, 0x181c970a,
+    0x3c5c3e69, 0x512c6242, 0x926e632a, 0xeffc000b, 0x4980df22, 0x268fd626, 0x2d3b2c2b, 0xe86ccf8f,
+    0x4cc8510f, 0x2b28be89, 0x989499fb, 0x78daff25, 0x85b79e24, 0x321f091d, 0xf31272f0, 0xaf6eef75,
+    0x9566f732, 0x3285d2b6, 0x8ec74c49, 0xb19143b5, 0xf22d6982, 0xff0b5e9b, 0x97e2fef9, 0x391ebafb,
+    0xeb186d50, 0x0589d16a, 0x350df914, 0x97456510, 0x57ec7d73, 0xe9656c5c, 0x7b0c30e5, 0xbf5f35f2,
+    0xcc87dbcb, 0xf175be69, 0x324d9979, 0xcac3e152, 0x4da95776, 0x2a155385, 0x7e6d6047, 0x1b05bd7f,
+    0x66f91e06, 0x87532b9c, 0xff0b733e, 0xaf3d1832, 0xb1f4269e, 0xbb5b2e00, 0xad88e799, 0x54e7e48c,
+    0x2d644ad9, 0xf077df27, 0xc0265e3e, 0x32115b97, 0xc4582565, 0xe341f0fa, 0xa4adddf3, 0x769cb3d6,
+    0xee9fc2f2, 0xf716c376, 0xfc95cbbf, 0x2a000973, 0xb0d53779, 0x6aebd28e, 0xf79c6a8a, 0x440f8292,
+    0xdee60175, 0xc2f83cbd, 0xa4d92344, 0x54dec23a, 0x6edb021d, 0xee0588aa, 0x5d905c94, 0xf9abb48e,
+    0x97d9ebff, 0xf0a67f6d, 0xdd6b84cd, 0x76818b16, 0x8f59f1d8, 0x422fe0ca, 0x10d48d50, 0xdc3c92bc,
+    0x15e3a91a, 0x580d7be1, 0xff85c8f8, 0xe70b0dd9, 0x476542c0, 0x1df5026c, 0xa3d38326, 0x62044f14,
+    0x4a20340e, 0xcfa41505, 0xb3eeab99, 0xf164364e, 0x9a60b609, 0x6204840b, 0x146cbc6a, 0x5fc0e361,
+    0xf3f98fcb, 0x8018442a, 0x1d326b72, 0xb3f75f6c, 0x2f433aa4, 0x15088706, 0xc044c405, 0xb081ede9,
+    0x497a7741, 0xbc1f50bc, 0x361d774d, 0x29d7942f, 0x35555d4c, 0x54b69e0c, 0xe82bba58, 0xf29a3dce,
+    0xe5ee78ab, 0xf41bb07e, 0x5515d43d, 0xf689127c, 0xf1b005b9, 0x1575b000, 0x40c3fd60, 0xd19be956,
+    0x0898e97e, 0x4cd018c2, 0x072dd59c, 0x7668c0cd, 0xcd74c018, 0xafd48f3f, 0x6102f2c1, 0x589fd3ed,
+    0x3c193241, 0xfdb6ef51, 0x32f2362d, 0xc04a5ad1, 0xc7a05da3, 0xa226b20e, 0x28a7da45, 0xb983ba61,
+    0x1333ac67, 0x06137b40, 0x9ab99301, 0x305cabcc, 0xbcf6c3fd, 0x4d63ed32, 0xf756bb33, 0xf9ba5403,
+    0xa53ba9d2, 0x573794ff, 0x8bd8178e, 0x2f61acd4, 0x05d46a82, 0x6705112c, 0xcd3f028f, 0xb06cbb06,
+    0x006a697f, 0xf7bd3dc9, 0xf88586ae, 0x0f904931, 0x97fc6f5c, 0x3a764e31, 0x9ed5a357, 0x826ec3de,
+    0xe6c763d8, 0xf6952dad, 0x5c1ba85c, 0xacbe6ab0, 0x62d44aa6, 0xd1cfd00c, 0x5af4d059, 0x0aab06cc,
+    0xdf705735, 0x91afd22e, 0xdb0e7826, 0x83a22359, 0x55d569f3, 0xdfa307ac, 0x86913e3f, 0x195d0f6f,
+    0x0a973bd8, 0x8a7fe3c3, 0x5646c58d, 0x91ab6f57, 0x18a12583, 0xdf908734, 0x46e79ecb, 0x2831ceb8,
+    0x9d24896f, 0x93779011, 0xdeb31848, 0x23a97c44, 0x1b747763, 0x00627d63, 0x4dc0b1ca, 0x4d331599,
+    0x83a52595, 0x1ab99162, 0x77ae7c0e, 0x0aae92cd, 0xbb7c774e, 0xfc663786, 0x05021ba2, 0xa86109aa,
+    0x6444a330, 0xbe4645a4, 0x020e525f, 0x2d8ba4c5, 0xb713836f, 0x7c87845d, 0x2cc3043f, 0xda238ee1,
+    0x48bc80bb, 0x955e0575, 0x944e2db4, 0x483649a3, 0x81e2898a, 0x9b506eff, 0x0c95b487, 0xa8674493,
+    0xec7fdcd7, 0x97e69e51, 0xbaa7b714, 0x1e4321b3, 0x3df1d3ff, 0x166c0ff0, 0xb8eea4e4, 0x668ff7aa,
+    0xc664e1e3, 0x8ece2240, 0xc40c1a89, 0xb4f80a26, 0x042f0347, 0x57fac1e1, 0x5c51366f, 0xa9e032de,
+    0xbc397794, 0x98ea6888, 0xf5dc0dd6, 0xa4c8298b, 0x7fa4dd3b, 0x4d5b9efc, 0x4cc839ee, 0xd7887271,
+    0x8d38a2f7, 0xec456664, 0x4f2c15a6, 0x789b5653, 0x4dfc56bd, 0x59820494, 0xcf0c3f55, 0x98626cea,
+    0x7423f2c1, 0xb902ce0f, 0x260887b9, 0x4a6157f4, 0xc32cd747, 0x0dcf5159, 0x93464e8a, 0xcaa53f6f,
+    0x1069dddd, 0xbd63fd67, 0x82561999, 0x21068dde, 0x307b74e2, 0x313ca0ad, 0xf535f4ec, 0x51c13bc9,
+    0x4ac579ce, 0x06d7d062, 0x2c860422, 0x6bf361bd, 0x78c43aa9, 0xe41dfe32, 0xd82ec327, 0xe826cdd9,
+    0xc3a7444d, 0x77ce64b2, 0xef9735f0, 0xea0a1200, 0x43f666eb, 0xc722c2ea, 0xf6cfdf0a, 0x3a8c87e2,
+    0x01612201, 0x690e17f4, 0xc7a40425, 0x3df904bf, 0x7dfa152d, 0x8e3a6252, 0x54fca856, 0x55d53b53,
+    0x55c85b35, 0xde238ed9, 0xec07e606, 0x091fa9f0, 0x7b063e84, 0xf92736ba, 0x0d6a6a0f, 0x4ce043f2,
+    0x35cadec9, 0xc0328a73, 0x20dd7e30, 0xdbfb6784, 0x1a3c84dc, 0x67824c8d, 0x251d1df5, 0x32ea84b5,
+    0xf169fd76, 0x3b7a7dc8, 0x122fccd3, 0xb1323134, 0x66147384, 0xf84e080c, 0xca1b6317, 0x1002259b,
+    0xde05a35b, 0x182d0375, 0x4d3afdbf, 0x56fd7abb, 0xe0e5dc4f, 0xb97af667, 0x6ae2bc46, 0xf56738fb,
+    0x10da88b9, 0x64aa14d9, 0x6e5293d8, 0x445dc92d, 0x8860f0ea, 0x726c8eab, 0x9be669f0, 0x9fcec25f,
+    0x66231188, 0x5aff9d1b, 0xa21d0c7e, 0x0e866ba2, 0xe4e2149c, 0x9ab0c54b, 0x5f575556, 0x2db1722f,
+    0xa93025a1, 0x538132e2, 0x24fdd758, 0xf58c03d7, 0x080d234e, 0xa168a0bc, 0x1156b854, 0x658d6da8,
+    0x6edabd07, 0x4ab650ee, 0xf2a3ae5b, 0xf554209a, 0x777ad0d8, 0xec400701, 0x1be9f68a, 0x231cfd13,
+    0x249b07a3, 0x72aa93c6, 0x84e639b7, 0x94b80b47, 0xe0b1ca7c, 0x45b0912c, 0x806b4216, 0xe3e53f86,
+    0x66f99078, 0x28d84982, 0xac8abbdc, 0x724a920f, 0x73623b03, 0x00e8ec83, 0x661e11fb, 0x27a1baa7,
+    0x2dd71972, 0xfe8e9d84, 0x6ac29490, 0xbfd199e5, 0x2a2a17f8, 0x711bcaf4, 0xbb92796b, 0x953d5db5,
+    0x812120d5, 0x75744854, 0x4bbc0273, 0xffe48651, 0xdaa36763, 0xfac3c76c, 0x3ab6265d, 0xd0f0f5ea,
+    0xb1a20d5c, 0x10a84e83, 0x79ae3a61, 0xd4a714b2, 0x85035e13, 0xa71e5059, 0xebda9b78, 0x9c7320a8,
+    0x6503350c, 0xf8abf3a5, 0x4876eb64, 0xcf8affd6, 0x0f6723b3, 0xe581c308, 0x13ce578b, 0xed27090a,
+    0xfb8322e6, 0x1839cb6b, 0x25328336, 0xf3b5000e, 0x36dd0036, 0xdc23b885, 0x5964ebc6, 0x93aa14ee,
+    0x396d9c14, 0x1a1dbd8d, 0xbfa3562b, 0x4ffeaf53, 0xcf5d7c80, 0x3088adab, 0xe972124e, 0x444b9ab8,
+    0xcc3144a4, 0xa553e969, 0xceea5de6, 0x6d5b9ca4, 0x03b7e568, 0xb8df5397, 0xda7c9e1d, 0x8306c833,
+    0x3e707634, 0x5898a9ce, 0xa7a02c32, 0x3f6dbf0e, 0x4557de2b, 0x9caee069, 0xaba0cea6, 0x8b8405ae,
+    0xa990b3a2, 0xda1bc103, 0x5e605e1e, 0x14ea175c, 0xf501ee3b, 0x9bf5bfb2, 0x09a8f408, 0xa9270669,
+    0x54b1adb2, 0x6eb6bf15, 0xe88855c7, 0x86fe13b6, 0xcd1eff6b, 0x608ce348, 0x6ed75238, 0x48e4ae89,
+    0xdfdff400, 0x25dacff2, 0xd18143db, 0x24fadb9b, 0xbb802894, 0xc216b7cf, 0xe1023fb6, 0x1b77fa16,
+    0x180ec41e, 0x1148e651, 0x75c23495, 0xb41766ec, 0x6943ffb0, 0x9e1de659, 0x2fd360d0, 0xbb2c599a,
+    0x31f9b97d, 0x4caa3469, 0xa1b65339, 0x06ab9665, 0xe847301e, 0x3fcd628a, 0xbeeb97f7, 0xe16f7775,
+    0xf5b3a45a, 0x54ac0730, 0x589f5868, 0x4df3ca80, 0xbb116b6e, 0x91a78cc8, 0x3bc7b05d, 0xfa35482c,
+    0x5642772a, 0xe57f5a16, 0x280ddc69, 0x77532fe6, 0x71374d9d, 0xe9bde19f, 0x440508fe, 0x1b1a5dc4,
+    0x3732572d, 0x3097aced, 0xc7687a72, 0xb8308bdd, 0xf8c7d1ba, 0x12019f67, 0x82762810, 0x1a08ddba,
+    0xcf1a3f50, 0x3a389aa1, 0xaf2b2809, 0x221cdbc5, 0x66f77493, 0x8d039df6, 0xb4f49af5, 0x9dd37439,
+    0xead48ab0, 0x52627099, 0x49a31167, 0xff3e9aa8, 0x46f243e3, 0x24f02d5f, 0x3678e61f, 0x3edad2b0,
+    0xeb6ad6fe, 0x380333cd, 0x1ac96cc7, 0x6dfc3b8a, 0xd6601d74, 0xed99c277, 0x2473b194, 0x7e956ff4,
+    0x8edf2a14, 0x103a8af2, 0x0fb3733b, 0xbb0fe971, 0xc070b538, 0xf10e589a, 0x385747e8, 0xdd53319a,
+    0x8de1c4ec, 0x4c8a03db, 0x7a75aedd, 0x728ba66f, 0xb6ad8c59, 0xb3e9e673, 0x0d62d3c6, 0x3e00ddc7,
+    0xb463be32, 0x3ef55dc1, 0x4d49ab97, 0x472fcc81, 0x0c3149b4, 0x7996e978, 0xa46e99a9, 0xe52adec0,
+    0x08ec6b41, 0x53cc64cb, 0xae8d2896, 0x9d5341e8, 0x2d533354, 0x9f535dae, 0x47e39bd1, 0x23ef6843,
+    0xd57b5070, 0x76756c4a, 0xa5e67c0e, 0x840bd4d4, 0x1db3977b, 0x0e28c88c, 0x936a58c2, 0x66f54e27,
+    0x425a6dd2, 0x4aae1d4a, 0x447bad53, 0xe3de95a6, 0x1001d791, 0xe2602dd3, 0xcfb71b92, 0xe570b48d,
+    0x40af1a18, 0xb7e6d3d6, 0x7d6de125, 0x05f6745c, 0x77f2efdf, 0xb58fcc96, 0xe8ec4dbc, 0x08e5f23e,
+    0xcbc0f7f6, 0x7b547107, 0x4c3cd8a6, 0xc1857ed1, 0xd8903b4e, 0x33e86822, 0x374024ee, 0x3d7e0844,
+    0x359a7088, 0x754d235d, 0x0f81d6ef, 0xc2d212b0, 0x64ebc448, 0x8d48c611, 0xa8673035, 0xacb492a7,
+    0x575d5158, 0x96bc81d0, 0x44a5cd74, 0x7d43f1a5, 0xf1abaaf8, 0x830dae4a, 0x7eca64d0, 0x503bd915,
+    0xdfd9d1bd, 0x4669f9a6, 0xcc959434, 0xffe7e678, 0x267f5396, 0x9b30c956, 0x4ef62e32, 0x0f03efeb,
+    0xaa5d3dd8, 0x1c775ec0, 0x01a375a9, 0xdd12f4f5, 0x5c9da552, 0x859bbec0, 0xd948aeda, 0xa7cf77b6,
+    0x5d8369c4, 0x81802afb, 0x54769712, 0xd4ee4413, 0xa50d21ac, 0x200c3587, 0xddde32aa, 0xea01093f,
+    0x9700f8c7, 0xd1edd570, 0xd506b4e3, 0xadf2cd40, 0xbf86a6f3, 0xbf0a689d, 0xaea670ed, 0xe769c6fe,
+    0x65526e92, 0x84ea0d96, 0x88c7950c, 0x9ea8ef0e, 0x960c2a46, 0x1e994e05, 0x7172777c, 0x8208b19e,
+    0x47561485, 0xf17dcafd, 0x01f99a7b, 0xd6593aed, 0xd46b7443, 0x35d79bc5, 0xd30e2de4, 0xe0c2f63d,
+    0x809916ab, 0xf69ae2de, 0xe7dc6de0, 0x1fa608fb, 0x45caa524, 0x00d10cdd, 0xa912af41, 0xddf31b7f,
+    0xd91b3864, 0x31e9dca2, 0x2a992f2b, 0x5fa2d4cf, 0x251dfe8c, 0x168d9ac0, 0xaa2b15bd, 0x3f30d975,
+    0x10927109, 0xd14d78c9, 0x22924f62, 0xc8c43e97, 0xcc90bea9, 0x98e064cd, 0xf0fb6d7d, 0xdcb8d686,
+    0x26fada7c, 0xf02b326c, 0xc238b2d6, 0xb48cd731, 0x90043916, 0x7c71b9dd, 0x9d40f6d6, 0xa2ad516e,
+    0x00000000,
+    0xbe66bc07, 0xdf461e98, 0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40,
+    0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000310827022\
+                          75611665134711390509176302506278509424834232340028998555822468563283335970816 */
+  { 0x00000000,
+    0xc830dc81, 0x8249a838, 0x50ee288f, 0x1ee363ce, 0x9685a466, 0x6d2b0ac6, 0x4fff3635, 0x8868e1ef,
+    0x3b5ddb67, 0xe3379d9d, 0xe57644aa, 0xbf79b945, 0xa8dd0acc, 0xb48440e5, 0x323613a9, 0x1d3203d1,
+    0x3f3edb2a, 0xa8cae035, 0x805ab60d, 0x6bd571f0, 0x7cf4ddac, 0xdc583624, 0xcd8e3247, 0xa55f3d99,
+    0x848175c2, 0xcdfc123d, 0xbba4d250, 0x722b7b9f, 0x060dc611, 0x29f15817, 0x932c425b, 0xbff22dd2,
+    0x9cb435ce, 0x009a1716, 0x8fd78495, 0x933ef091, 0x7c8866f5, 0x5356f1d1, 0xc87a7d4f, 0xe517446a,
+    0x6f8bc813, 0x173e6846, 0x0964103e, 0xa3fa12a4, 0x68e18f60, 0x9f20426e, 0x54b397c1, 0x8352a179,
+    0x1f44226d, 0xfcab971c, 0xea9a16a8, 0xa0841c94, 0x751d4bc7, 0x87d43e7b, 0x57866751, 0x51aa989e,
+    0xa0cb3534, 0xc6f8f244, 0x33c9539f, 0x27c10e46, 0x4e9add36, 0x279de196, 0x12d6a240, 0x832c0b00,
+    0xb3028a81, 0xb12d7978, 0x6b695d0c, 0xec62b1bd, 0xc8276290, 0xd7a76237, 0xf48d1158, 0x534cdffa,
+    0x20c0aa2c, 0x68ce7508, 0x6390e3d8, 0x15be91f1, 0xd2c4af45, 0x97422318, 0xeb1cc89c, 0xedcaaf59,
+    0xedeb8c5e, 0x3910dc6e, 0x1a67d419, 0x1fcab586, 0xcdbf0cdc, 0x6f12006b, 0xec043a81, 0xfe2c1f91,
+    0x9b1f277b, 0x0d7e6731, 0x62e17ee8, 0xc1517493, 0xe1a1c013, 0xa5d7cd62, 0xa3bab8cf, 0xdb7f0fc1,
+    0x4ee6278f, 0x4509a41f, 0xf9afbef7, 0x62c53e9c, 0xd2edae06, 0x12dacf74, 0x75a6c030, 0x594b0367,
+    0x324c9017, 0x488b54b1, 0x99988a81, 0xd40783f7, 0xa481d1d3, 0xe12491a4, 0x9ceefe81, 0x7e9afccd,
+    0xf9b615ae, 0x23c0556c, 0x8c4e15d0, 0xba1de5d3, 0x09841422, 0x362529d1, 0x4d6f9ea4, 0x994ebe6d,
+    0x62e8fb7c, 0xaad864fa, 0x4fe00a74, 0x10900b89, 0x2bfcb647, 0xd07ef83c, 0xb2fcf4a8, 0xb0569227,
+    0x6810cb9d, 0xbcb6ae8c, 0x6d53c682, 0xe89519c5, 0xd689ef1f, 0x52930b60, 0x574d472e, 0xab7d92ec,
+    0xccc4562e, 0xcdab41f5, 0x8b6e2157, 0xa1a8fc29, 0xb5e5dfe3, 0x9996c888, 0x445d0691, 0xda57bbc8,
+    0x2b0cd8f4, 0xf2f9147d, 0x0f2e49da, 0xf1e1e308, 0xa2e1bdcd, 0xb0fe51a3, 0x883953ad, 0x4faff466,
+    0xaea17622, 0x2e761a9b, 0x21916a06, 0xf8ccd0b4, 0x05522925, 0x399aa698, 0xf39eb7f2, 0xfe68e636,
+    0x90558364, 0x833b3957, 0xe9a128e5, 0x9f6b12f9, 0xc3bd2a03, 0xa47012da, 0x12e3291f, 0xc1e4d0b7,
+    0x525678c7, 0x7fcc1c11, 0xb8c7f0a1, 0x537f656c, 0x35b2b1fa, 0x1ae34d09, 0xc8d6c4ec, 0x1a817dc7,
+    0xd324af7a, 0xb94dd2f5, 0x164d2baf, 0x14f2102d, 0xff84a57c, 0x9bf8d51c, 0x00ccab59, 0x6b3bad84,
+    0x9a52f469, 0x8ecc0d44, 0xae1c34c0, 0x09a5e210, 0xebb237ca, 0x437f048c, 0x6765c596, 0x5aa72250,
+    0x85235e1e, 0xbfd90e73, 0x27bc743b, 0x1edf0590, 0xd6feaf40, 0x85541b85, 0xeceee79d, 0xbaa4d6bf,
+    0xa374ad2c, 0x7ec9fa70, 0xd88ff17b, 0x4cfeadb7, 0xb1c4241c, 0x79c7a6bc, 0x7f99dd5c, 0x7249e8f2,
+    0x0b0804ed, 0x7f09fdf0, 0x23168258, 0x511f6934, 0x6946b07c, 0xdd0e1f74, 0xdfa55982, 0x0054cfc2,
+    0x68c3e7fb, 0x0027621c, 0x545f9567, 0x9bec9bef, 0x6252ae7e, 0x1726eef5, 0xa899e20a, 0xb186e34b,
+    0xe0254c28, 0xcc1a4640, 0x8379c6de, 0x06ad314f, 0x7b1609c6, 0x847201e3, 0xdac0d085, 0x61db3e38,
+    0x7abe09a7, 0xafaf8dce, 0x23ba0d82, 0x9128d65c, 0xe7ad25a0, 0xdb159430, 0xa151629f, 0x15c9013e,
+    0xd8f01355, 0x60ef4b0e, 0x6d21c742, 0x0ad79b78, 0xdd1f0bc6, 0x7e720c23, 0xdf8847fa, 0x4ac49a58,
+    0xc231e188, 0x12db343c, 0xbe588adc, 0xf529a339, 0x86978455, 0xb5996ead, 0x4df5e7c7, 0x8020a245,
+    0x413c1130, 0xd7840149, 0x631f32de, 0x9fb1a516, 0x00dff0fd, 0x2f4c69a2, 0x82fe8bfa, 0x4d2ff9a0,
+    0x4a2f67f4, 0x47526432, 0xc7057932, 0xbcc2554e, 0x4550860b, 0xdc478aa6, 0xc4556d01, 0x84523c14,
+    0x1ca09d8b, 0x99b72d6f, 0xe35a1a5d, 0xbd20b1b5, 0x25c362f5, 0xd61cb836, 0xc96f0462, 0x0f1ba752,
+    0x57eff010, 0xd668c79b, 0x2f2729c7, 0xbf17f9ee, 0xb65a1bbb, 0x306a16b3, 0xb0ec5b77, 0xf869a674,
+    0x134d733d, 0x0e08609a, 0x8d4dd881, 0x592daa9b, 0xd5ed4aca, 0x9b8db925, 0xd6d3feb1, 0x289c90a5,
+    0x9cade939, 0x7c74a93f, 0x94887c57, 0x8b73ec4f, 0x0e830802, 0xce512eab, 0x86e562ac, 0xf14553f2,
+    0xee190d0b, 0xc3446482, 0x92e2d141, 0x0f946d1d, 0x47c8d0b7, 0x1af04dfb, 0x6fc5a85d, 0x94a29957,
+    0xca9d0e87, 0x272ed774, 0xf51fbb33, 0x95f1ff6a, 0x9e33f96a, 0xbe3a7260, 0x7fc73634, 0x6fa90a24,
+    0x3bb2b237, 0x2f31d490, 0xac78d183, 0x87cb1441, 0x5a19e912, 0x6062ab77, 0x71c06f49, 0xcdfcc87b,
+    0x89f817af, 0x00ac078b, 0xa663f3aa, 0xd2778505, 0xe90d9161, 0x4d0ea81f, 0x7c9b9054, 0xbb88c19f,
+    0x50cc3d6c, 0x31d0441c, 0x38d3570c, 0x59338482, 0x559bfbbb, 0xe60068f6, 0x6a672c35, 0xda1cf799,
+    0x7d0c7e9f, 0x0dbd2023, 0xc854e568, 0x664c9216, 0x953580de, 0xb07e2738, 0xab68fe9a, 0xccc60e86,
+    0x3f41d227, 0xdc15b54f, 0x9080a96f, 0x01d81d8a, 0x3ed9cd4b, 0x5a22b49e, 0xc0cdb27a, 0x3f0efbe3,
+    0x7ff3c988, 0x657f0300, 0x6e120306, 0x22052024, 0x89f4b617, 0xb3a7a285, 0x48d643ab, 0x2d00c7de,
+    0x3fe2e7dd, 0x9ca3a9b9, 0x3c8f50c2, 0x3080fe34, 0x648b0806, 0x7098dfc5, 0xedffcaa0, 0xd14e1a7a,
+    0x2d16609b, 0x1c48b1d8, 0xc143815a, 0x5f40fa78, 0x5bab4a0d, 0x604eafd7, 0x90da6d26, 0x320fce6d,
+    0xe2452f63, 0xb6f914b1, 0x364fcc7f, 0xc6046794, 0xc8218574, 0x6ee88809, 0x97d92a5b, 0xbf3d56af,
+    0xda384439, 0x37b9a3ec, 0x68f44e09, 0xb088a8e4, 0xcbaef943, 0x0eecfb80, 0x0d7d0c44, 0xcde4a6bb,
+    0x0e9c757c, 0x621a9ca7, 0x07e74c8c, 0x9c2c689f, 0xeed405e0, 0xd54052f8, 0xa51def13, 0xabee46b2,
+    0x4bd6498f, 0x90977cf5, 0x03149bdc, 0xce18beaf, 0xa579f084, 0x903076e3, 0x3fe4352b, 0xcdf9536b,
+    0x73c4db9a, 0xc55e69c4, 0xe24b0772, 0xac7bee8d, 0x78460186, 0x18b3224b, 0x90be628a, 0xece11598,
+    0xb6c20356, 0x575fcf87, 0xf2218248, 0x7410c497, 0x95291c74, 0x9fa9ff8b, 0xe5729a28, 0x7a0b0e69,
+    0x77b0325e, 0x055e0ee5, 0x9557f572, 0xdeacc640, 0xb38768f1, 0x59626c25, 0xebe948d4, 0xbe61c313,
+    0x26994c7d, 0xf505654c, 0xc9692c64, 0x0bcd8398, 0x990ed07c, 0xc76c12b0, 0x48cfe77f, 0xde024703,
+    0x3aae9774, 0x5843dfb7, 0xabe598be, 0xb9136634, 0x17141c76, 0x5379834e, 0xe8913ca8, 0x222e7c38,
+    0xa68654a3, 0xde86f115, 0xc19935de, 0xe8174e7a, 0xa1b7b48c, 0xe964af29, 0xafe8ad9f, 0xbc3a9377,
+    0xef484cdb, 0x3d8e50b6, 0x7463e4a2, 0x6e4ba44f, 0x26a3e0af, 0x43e6618c, 0xddf9eebd, 0xc20e028a,
+    0x440deafb, 0x87d40f6f, 0x25b159ae, 0x36795912, 0x32cf88c5, 0x83dfcc27, 0x3be9ff2a, 0x9a215973,
+    0x2db4ab77, 0xd9ac5b29, 0x9b846368, 0xc9426eb8, 0xef2f2899, 0x1ec3426e, 0x2aa07b33, 0xa2a262bf,
+    0x89f915ca, 0x513ea001, 0x525a474d, 0x31313423, 0xc0ef15e9, 0xe16c52b9, 0x4a42353c, 0x7777283d,
+    0xc99a171b, 0xd6bb68bb, 0x02e86533, 0x25efa3cd, 0x0796bb7e, 0xdf1d2180, 0x7aeed0bd, 0x749f8e8c,
+    0x3e7acf38, 0x8ca76dd3, 0x8f8b25f2, 0x82867c25, 0xf5cd3bd1, 0x3ffbe4d9, 0x54b4ec76, 0x6591c59c,
+    0x1a5d649b, 0x030f115d, 0x171459ad, 0xa1e891d4, 0x7066acee, 0x5912f84a, 0x712e0df3, 0xee46bf8c,
+    0xdd79b994, 0xbe0fd33c, 0x13249e37, 0x1624eccb, 0x0d3ec597, 0xb5f81ada, 0x62592e1b, 0x08819f38,
+    0xe60c1cc0, 0xfccf8ee1, 0x1164b182, 0xb20338e2, 0x39dff015, 0xd530e371, 0xb355062c, 0xacfdec12,
+    0x59f1e873, 0x79359e4c, 0x1262bcf3, 0x936fea5d, 0xa9ae6df1, 0x871d308a, 0x83416e53, 0x80be6d8d,
+    0xfae7d8f5, 0x03fb0547, 0x892b9bb7, 0x49f20cf9, 0x489eede8, 0x99f7f834, 0xf59c62f7, 0x456fbd7a,
+    0xd135ef80, 0x50845213, 0xd628007b, 0x0a8d66f8, 0x68d1a26d, 0x32a0a985, 0x10447fdf, 0xd6c92347,
+    0xe2f550fc, 0x67b7dfd3, 0x603c62b2, 0x13bb1dd4, 0x4eaea063, 0xa96be20e, 0x5550a7a5, 0x215db66b,
+    0x9790f072, 0x9cbef9e2, 0x45ea14e3, 0x04ab7380, 0xfaf2bd29, 0xc408132f, 0x80ea1287, 0x0d6f8edb,
+    0xd0454389, 0x8e22a55f, 0xddeabf80, 0x783bf567, 0x2976eca2, 0x23845b30, 0x01d0df38, 0xbf2a7792,
+    0xd714ae52, 0xbf83cecb, 0xa1cd7e1b, 0x70b362ef, 0x5680742e, 0xf44f2d8b, 0xd042dcda, 0x0b6dc5c8,
+    0x62057e08, 0x1522aa47, 0x47642c1e, 0x7b95cf28, 0x2a0a2953, 0xbafbacf3, 0xc0178094, 0xb75afd2c,
+    0xf523870a, 0x05952719, 0x0a3eba9d, 0xe82fcb43, 0xd7a8cc33, 0x1b18e63b, 0xa6559d44, 0x98d9a9b3,
+    0xfccb3469, 0xeff044ea, 0x4f39e88f, 0x03bda0d1, 0x5e3e6915, 0x493b4a77, 0x0c95cbbd, 0xdff1d025,
+    0x6c3e8826, 0x7c18eb24, 0x90af7fb1, 0x9dec7891, 0x9378b70a, 0xb834c70e, 0xeec71dec, 0x80d0fe3d,
+    0x6d1bde10, 0xfe4f886f, 0xf7635d9f, 0x58bc58b0, 0x215a6ad4, 0xc4ea0b92, 0x658428c4, 0x135fd38d,
+    0x328ee565, 0x6d6f08b8, 0x2a22489a, 0xb862e581, 0x62f29e9c, 0x645f2186, 0xc31635f4, 0xec93299d,
+    0x242b1373, 0x68c3f199, 0xec02a663, 0x459ec8d0, 0x9bbbb66e, 0x24bb60e2, 0xae850e9b, 0xd7be2897,
+    0xeff7524b, 0x199f32e6, 0xfb13baa6, 0x6635e50f, 0x6e81ced6, 0x63142536, 0x0148699d, 0x159810ee,
+    0xa42a4d9f, 0xca728938, 0x26d088ab, 0xc9a60552, 0x9a8f740d, 0x3a50ce6e, 0x4d6bedca, 0xcc573b96,
+    0x3154c3a0, 0x69d83600, 0x0858ed2c, 0x29141d89, 0xd4188bce, 0x1bae3016, 0x231e9d27, 0xa124ebd8,
+    0x582c4cc4, 0xd068110d, 0x24c0f933, 0x36febe08, 0x8ddb3855, 0x334fc588, 0xcaad4c02, 0x821bb504,
+    0xa8f459d6, 0x96b1c471, 0x72f21239, 0xd572e238, 0x9349e3f9, 0xc12b5778, 0xef7a5b50, 0x48ca3925,
+    0xa5a8bccb, 0xedbec351, 0x510192b6, 0x147af968, 0xeab753e4, 0x48072f24, 0x83ab4040, 0xe12ca2d7,
+    0xd01cb375, 0x58c30bd8, 0xc49c0142, 0x71ff63df, 0x6c6244eb, 0xc282d25c, 0x95dee85d, 0x01ce65fd,
+    0x2227ef34, 0x836b03ba, 0xd004482a, 0x91d3cacf, 0x84246467, 0xe36e310a, 0x8a52d624, 0x2efaaeea,
+    0x43beb893, 0x79018cb7, 0x280bb0da, 0xcd43d83f, 0x784b941d, 0xd953aa22, 0xf7d71892, 0xed422c91,
+    0xc57b2d00, 0x90c96f78, 0xbd3556fd, 0x3cec5bc2, 0xa9596b26, 0xd4c8bdc3, 0xe40af109, 0x32483c30,
+    0xc97a7737, 0xb15dfbf9, 0xcf3692ad, 0x417b05d4, 0xd945584b, 0xf15181a9, 0x66ce210f, 0x068eb7bf,
+    0xf4acd640, 0xe5876f5f, 0xd7638d41, 0x585500b2, 0x6e584913, 0x2dc9a785, 0xcbc3ff49, 0xe4b3fd96,
+    0xb678f667, 0xdc6d7ca4, 0xeec3de2f, 0x6f5f69c2, 0x84aba447, 0xb3a7b3bf, 0x40ab41ae, 0x5f0598bc,
+    0x42ff4e5c, 0xbf93c0ee, 0x8d15629b, 0x7555f562, 0x0748ae33, 0x2c21a949, 0xf960ac90, 0x1f611337,
+    0x23807c8e, 0x7204ad0f, 0x3f3f0696, 0x1bf98e43, 0x581ab311, 0x34c4c40a, 0x7fc83027, 0x5d1e1a51,
+    0xc3d6e81a, 0x7a5522cb, 0xabd2c631, 0xed4c61d1, 0xbb45d15a, 0x05e2662b, 0x99922ff0, 0xd01e2a67,
+    0x595a2f69, 0x75956e43, 0xffa7c03f, 0xe7cb9900, 0x90dda37e, 0x0dcec94d, 0x7fb4a83c, 0x84672b74,
+    0x6dcdb6aa, 0x69ecb89a, 0xce96d14c, 0x00c6ce22, 0xf6a9b8f1, 0xeb00cab6, 0xe96286f5, 0x010d24ca,
+    0x7fa0d9de, 0x4586116a, 0xd8b03334, 0xd7f7d7b8, 0x07867c36, 0xfafe43e0, 0x2e78bea4, 0x253cc806,
+    0x2ecc9863, 0x372a5156, 0xe1846a93, 0xdf3510d2, 0xa4edd999, 0x1518d095, 0x0e5c64c6, 0xc2b5372d,
+    0x2c17a39c, 0x9210c783, 0xaca3e30d, 0x06c16a76, 0xd0eae394, 0x1fb24130, 0x97be7d64, 0x57448894,
+    0x1808f653, 0xd358316b, 0x7279e18f, 0x1adfb087, 0xab7e0415, 0x239f45d6, 0xe03e6a36, 0x894120c6,
+    0xb213b390, 0x80402c7c, 0x945f940e, 0x136d60ef, 0xf4edaade, 0x2b75c512, 0xbcb344e9, 0x93236223,
+    0x36e59e5b, 0xebaa163a, 0xb9737955, 0xca36bdee, 0x0e519439, 0x1a8f0a21, 0xe978fa2f, 0x6ee7e94a,
+    0xaf0717e8, 0xd10f8d4d, 0xbc8a2bdf, 0xa25bffa5, 0x2327da8c, 0x7c76f3bd, 0xa67d8324, 0xf1b71346,
+    0xe9fd1061, 0x7423ca63, 0x11329b87, 0xdcf9cf81, 0xee4378de, 0x24562249, 0xd57731b4, 0x4e25db3b,
+    0x55460325, 0x4df7c5db, 0xa01b54ba, 0x49e46264, 0xd8cb8efe, 0x1670388a, 0x57581d6e, 0x672ca925,
+    0x5955870a, 0xe2356071, 0x28f7ca63, 0x4fd2bb57, 0x24cade6c, 0x531547cb, 0x8461c4bc, 0xe8b74508,
+    0x578d373f, 0xcb7ecf29, 0xfa117a11, 0x1f3bad86, 0xd4c17de2, 0x3870130b, 0x3faf1386, 0x5780f8d3,
+    0x137eca3b, 0xd3326410, 0x06e16f8e, 0x8d9802bb, 0x02ce38b7, 0xdc9b260a, 0x044f83df, 0x58da2458,
+    0xacf508ec, 0xc3e429c8, 0x61bdf099, 0xd5ed31e3, 0x84261385, 0xcb33b46f, 0xd0cdeeef, 0x84b64be3,
+    0xab3af283, 0xa6c5c90c, 0x2faa7c8b, 0xf093e36d, 0x3963ddef, 0x35094d55, 0xf2094147, 0x7581b418,
+    0xd695bf1c, 0xafff502d, 0xe302aed4, 0xa1e603e9, 0x6643b0ba, 0x6e1333ed, 0xca9125f2, 0xa83cbfd6,
+    0x8403d753, 0xe2044cff, 0xae715679, 0xfb9186ff, 0xa68957bd, 0xc16a5131, 0x256f4917, 0x4956f189,
+    0x8805ed13, 0xb36ee182, 0xdf70efb4, 0xf0f89668, 0x266261ed, 0xccff6b7d, 0x22acfd5d, 0xc769853d,
+    0x0a9aba72, 0x6eac340d, 0x979e2132, 0x00d93dc2, 0x3e0ab030, 0x4b9fddde, 0xcc18111d, 0x012f519a,
+    0x84ada441, 0x1390744a, 0xffb2b89b, 0x7ff2715b, 0xcd5910a3, 0x3602e740, 0xd345e480, 0x8325e8af,
+    0x164b2a69, 0x30738c4a, 0xcb118c85, 0xb6be78d6, 0xccc4dbcb, 0x1f162a42, 0xd0ece495, 0xa401672e,
+    0x348f0c80, 0x042fddef, 0xfb212d5a, 0xefbe0082, 0xdac24240, 0xb4dc2d0f, 0xe04eaed1, 0x1a19d3a3,
+    0xd90be49f, 0xfdf6a450, 0xc0bb01d9, 0xb5ae077b, 0x28d7bf8c, 0x5e29a33f, 0xd98ed755, 0xaa60b794,
+    0x34e4655d, 0x6d1c8460, 0x5b734f9e, 0x9d009620, 0x36ecd48a, 0x9aff456c, 0x6da6deec, 0x75014ae9,
+    0xa2c72eb1, 0xb3f39bc9, 0x0a6ab25d, 0xedb8c785, 0x8706e56a, 0x9ef2fcb7, 0x134947ef, 0x20f3aa20,
+    0x0f42f1aa, 0x51cf8964, 0x91f9ff2c, 0xd50931ea, 0xb9fa44d4, 0x5f23d578, 0xa67706ca, 0xe2ca3fd1,
+    0xbab9881b, 0x537a0289, 0x637c7ed9, 0xa56e852d, 0x047a9577, 0x54dd8c45, 0x83a92ec9, 0xfc616538,
+    0x854ba141, 0xe1286b19, 0x6ab4a94d, 0x26328d63, 0xd5f9f68d, 0xcaa411c1, 0x02c25e04, 0x904cf330,
+    0x00000000,
+    0x5f335e03, 0xefa30f4c, 0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0,
+    0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000155413511\
+                          37805832567355695254588151253139254712417116170014499277911234281641667985408 */
+  { 0x00000000,
+    0x501544ad, 0x7481312a, 0xe3d5f26d, 0x8ce9fdc4, 0x453a5997, 0x66a0eb8f, 0x15e438c2, 0x70ab46be,
+    0xb1c11ea0, 0xe10e070f, 0x60fa6f3e, 0xff3d5384, 0xaf1066f0, 0x02d542e1, 0x0c53b2fd, 0xbb7df508,
+    0x68db625d, 0x748a7dba, 0x999defbb, 0x1722adba, 0x3d2d4e8d, 0x73092347, 0xbadc4d59, 0x7839d340,
+    0x8a849c6e, 0xc0d398b1, 0xf3b83df5, 0x84c7f720, 0x2ba7a6d5, 0xd99ae5d6, 0x65706f9e, 0xb64a1021,
+    0x2ee257fc, 0x2a912c30, 0x6f0c315d, 0xd4f6855b, 0xb324f97e, 0x5563e918, 0x70a9baae, 0xc075b114,
+    0x03bb810c, 0x4ec588a2, 0x15465fb3, 0x7f34d144, 0x417f1597, 0x76ef4db2, 0x920cf5d3, 0xc5994e73,
+    0x4fd64087, 0x8625a7b4, 0xf8b6a284, 0xfcf2bf57, 0x7465a415, 0x77e75923, 0x1fb63fb1, 0xbc05896a,
+    0x2015ef60, 0x9b0fd4d3, 0x1305d796, 0xc115658b, 0x0df338df, 0xdf3e33c6, 0xecdae6d7, 0xfee0bfbc,
+    0x391a4ef8, 0xa59493b6, 0xbd02ba95, 0xdcb5eeb7, 0x9dc25baf, 0x808dc672, 0x4923b863, 0xe7e2a12c,
+    0x54578733, 0xd3e48ec9, 0x5d88826c, 0xca3af90a, 0x5f2a9f65, 0x070aad43, 0x01aefeec, 0x6b4dc148,
+    0x81b36fba, 0x8765e512, 0xddd3a955, 0x92cb919a, 0x0e642de0, 0x33b95b20, 0xe43c4b4b, 0xe9e71c85,
+    0xd2f70f88, 0xb2665799, 0xdee8163d, 0x77c9f5f3, 0xd21ce711, 0xcc01a583, 0x6d117857, 0x3c689e9a,
+    0xfc666562, 0xb0d1bea0, 0xde515409, 0x05988dc0, 0x037c5ef2, 0xa2aa5c8e, 0x3e73c577, 0x5c68544c,
+    0xca170d45, 0xbbe05454, 0x57fb4d8e, 0x987962d2, 0xf8d4417d, 0x20a6f3eb, 0x4705d22a, 0x60b9fc05,
+    0x4f4d7b97, 0xff168c53, 0x7553ef2b, 0xaf053a7b, 0x9879a27f, 0x55d94402, 0x7907514a, 0xbbcb44d6,
+    0xe4a58cd0, 0x649cb303, 0x4464adf6, 0xb9de43ea, 0x4ebffd59, 0x0c950a00, 0xe14d9e1b, 0x3a1e9998,
+    0x5d7ed32d, 0x5b0e029c, 0x13c272cf, 0x3e970757, 0xe3d0edaa, 0x3f8f58d0, 0x10285ae9, 0x43175257,
+    0xd53c1604, 0x97949f78, 0xe687ba99, 0x6be3fb69, 0x7ca8a24b, 0xc3f33971, 0x09cb1251, 0x89d1ea4d,
+    0x17823a18, 0xc4ba0e51, 0x8ded1fe7, 0xd41c3a51, 0x2d4f2b02, 0x5dbc5fa3, 0xc9a9dfa5, 0x959f15c4,
+    0x520151dc, 0x1a2c1ed6, 0x4bfd721d, 0xf64282b5, 0x49569d29, 0x0e680f5c, 0x56e0895e, 0x0636dee1,
+    0x91203b98, 0x7391fd2b, 0x048c0c5e, 0xbca6e5a6, 0x55e9af94, 0xb54fe773, 0x0a738b46, 0xbc850f50,
+    0x6107bb65, 0x8daa8c38, 0xfa383ec4, 0x608b24bc, 0x149776a5, 0xdf93b95f, 0x448c1733, 0x8587e0d8,
+    0xfa75d57a, 0x25217fde, 0xfbba9392, 0x42e41d25, 0x0b927d9c, 0x57dcfce4, 0x880de63d, 0x18e52bb7,
+    0x823babd5, 0xf09d996d, 0x9790253d, 0x3e0f2b1b, 0xa6d62f7b, 0x89b88669, 0x31c48c96, 0xdcd0209a,
+    0x144f9581, 0x59580bc5, 0xf8bf0b21, 0x4e500932, 0x7f7c691f, 0xab794e53, 0x7191b607, 0x14926bae,
+    0xab80144c, 0x8d2272cb, 0x90440239, 0xd187502c, 0x2931ef32, 0xc7242bb1, 0x007b699a, 0xbbae9a15,
+    0x0af2af3e, 0xc9f04203, 0x30539e8d, 0xb8911802, 0xe8148283, 0xfd2bdbcb, 0x4db29c01, 0xbca09422,
+    0x0c8ad2eb, 0x6905efed, 0x1d5d406e, 0x51369cde, 0xde7d8ee7, 0x4bbc6c44, 0x56217ed4, 0x0e830af1,
+    0xf17e3b1f, 0x947ded35, 0x2cb8f2c6, 0x65ffb90e, 0xc12c9ebf, 0x57fed6da, 0xc38a3857, 0xb2db4adf,
+    0x02d2b382, 0x4501ec5c, 0xc490d65f, 0xbbd202fb, 0x8169d6e1, 0x35596990, 0x15f1c269, 0x1323ac4d,
+    0x9fc348d0, 0x1053ee1b, 0x7a2758a9, 0xd37fa841, 0xab7e5583, 0xc7336bb9, 0x57054e84, 0x9332b2db,
+    0xdbd57691, 0xab11d780, 0x2b2ed27d, 0x80fa1657, 0xba5ca112, 0xfa5d4b9f, 0xfcd8cb79, 0x44b5f82f,
+    0x87eb32ee, 0x5c43f4f3, 0x0a94eecf, 0x9fa35d6e, 0x14d51457, 0x11b97882, 0x9ea6f935, 0x03b5cacb,
+    0xc1bd6f8d, 0x16d278cf, 0xe43a9c5a, 0x6fa6d3e7, 0x07c91cec, 0x88729eae, 0xdf8d08ca, 0x32413e73,
+    0xa98dfd9e, 0x9d113660, 0x90583554, 0x946fa993, 0x878c404b, 0xb8877dc9, 0xac0e6d07, 0x801ecb9a,
+    0xb5808d17, 0x1ca4de1f, 0xee38ae2c, 0xb33007b8, 0x2dc29e80, 0xb8231d7f, 0xb8c94a6a, 0xb0b7a9db,
+    0xf8053b96, 0xcaa0fb3d, 0x3718018c, 0xdcd82c7c, 0x428b1c4e, 0x86a1ea4e, 0x848c6ef7, 0xb41d16d2,
+    0x55bbc312, 0x116215c6, 0x6acc6fdc, 0x6d4a3201, 0x70c58bba, 0x8f03480d, 0x7b065574, 0xdeb712be,
+    0xb4bb18c5, 0x653807f6, 0x73f4334b, 0x61bf4c82, 0x72e934f8, 0x8dd9189e, 0x10ba3366, 0xa37fd782,
+    0xf86309cb, 0x41c3bf55, 0x88c350bb, 0xc1b2b729, 0x8d1985e6, 0x4de59648, 0xfe245f28, 0x0bf8f5e1,
+    0xafc5c114, 0x378cc888, 0xbd6bcb36, 0xfe8672f7, 0xf0faa797, 0x0dd8a233, 0xc37e16ab, 0x514ee40f,
+    0xdb8d4bd5, 0x900ed03a, 0xe8eeeced, 0x3ba1292f, 0x20c0c4e5, 0xff913aef, 0x16dd7f59, 0xe9b42f5a,
+    0x3f076425, 0x7389609f, 0x7cc36300, 0xaec2b11a, 0xb38227f6, 0x3892fb69, 0x33380916, 0xe2d2fdc1,
+    0x9c58255e, 0x59cd3ec6, 0x87fb0c73, 0x69200283, 0xc1533666, 0x06f337fd, 0x2cf1546d, 0x4eebdef3,
+    0xfdef5f09, 0x4d85826f, 0x213dcf29, 0xb1114d18, 0xf9e302df, 0xa7442d60, 0xc0d6416c, 0x3c13fb64,
+    0xfe211301, 0xe991d901, 0xa629bac0, 0x108ec6f5, 0xc8a31ff6, 0x75b53998, 0xff25c1d3, 0x407000b4,
+    0x3da0d775, 0xa7792917, 0x4c6b0f30, 0x148e594c, 0x5c05336b, 0xfa80faf4, 0xd8ab9d70, 0x421ca1f6,
+    0xa9f80577, 0x146b03ab, 0xe6e4db2a, 0xc7fa2949, 0xb269cefe, 0xed5620a7, 0xb5e286eb, 0xeb1f5933,
+    0xc0f2bd83, 0x4cc06f5c, 0xaf5df533, 0x0efd6b27, 0x56a58546, 0x74e85501, 0x97460338, 0xf66aecf6,
+    0x7ac86960, 0x6596f458, 0x6a0581a6, 0x6b60456d, 0x74acd2f2, 0x31c4fdae, 0x7bc3aec9, 0x970993d6,
+    0xb5bd2a00, 0x57a57365, 0x0b7e254c, 0xedcc1eea, 0xee0f82ee, 0x7019e9a9, 0xd3ca0e41, 0xbc44de31,
+    0xcff97619, 0x66a5f2db, 0x6c85e544, 0xbdb556c7, 0x5142ca01, 0x56f958ae, 0x3d672bf3, 0xd55edf35,
+    0x0119393d, 0x864744e0, 0xa0f9086c, 0x8dcc0687, 0xd7ae0203, 0x01886764, 0xe1787453, 0xb9bc6e9d,
+    0xc2a0bc38, 0xfeba24f3, 0x9f3a4be0, 0x4c6a544c, 0xf3aed043, 0x046abad1, 0x3e8fb3be, 0x529bd8eb,
+    0xe188ae13, 0xdf1a4a46, 0x1d8745a3, 0x9a8bedf0, 0xbbe2571c, 0x218288ec, 0x2a6133de, 0x0ee6aea4,
+    0x9bd47294, 0xe213fe9c, 0x860eec50, 0xa6af9043, 0xdc11ec64, 0x780aec34, 0x8ab81305, 0x32f2dc73,
+    0x0ef2cf01, 0x8d2f56c5, 0x6556a470, 0x51196e23, 0x87d63af3, 0x5b7487aa, 0xd6b80768, 0x6b716e51,
+    0x2fbf3066, 0x3f32ba10, 0x4dae29a5, 0x38af2b31, 0x80516f1a, 0x88714b8c, 0xd5fc570a, 0xe20a4030,
+    0xa6c0ba21, 0x82d1ebb2, 0x4b07e72e, 0x1f1be40f, 0xd939992a, 0x799ef8b7, 0xdfe57522, 0x565e6140,
+    0xcec6f17f, 0xf71412aa, 0x2ea34f36, 0xc7c5cec2, 0xdc8d4e8e, 0x24ebc372, 0x24a7671f, 0xfe3eb60c,
+    0x08619820, 0xba82b3d4, 0x6b39437b, 0x92f62ed1, 0x2c540736, 0x3ee79048, 0x3505e043, 0x632b6a15,
+    0x7ef2060a, 0xb17f4e45, 0x3e5c1b25, 0x3758e1f5, 0x20171d32, 0xe2d4aeaf, 0xdc669e02, 0x025a5448,
+    0x305c7d64, 0x345b1401, 0x2ce1d486, 0x3af8a9ec, 0x14f16c4b, 0x0270232b, 0x39828be5, 0x0d494b38,
+    0x1fc4fbde, 0x7c9c29fd, 0xb343dc64, 0x1406a893, 0xa1067e54, 0x627361eb, 0x43e34ad8, 0x2e45746b,
+    0x9122533f, 0xd30b70ac, 0xa10f5462, 0xc9baaa7f, 0x56152ac7, 0xf6592954, 0x2119a1c8, 0x9691eedf,
+    0xe203e2f0, 0x2112db23, 0x822aaab3, 0x525865dd, 0xc52afd47, 0xe6f8e328, 0x96f9b8f6, 0x50b82730,
+    0x5fa21d8c, 0x6a9e2c4e, 0xd38bf551, 0xbcc4b63c, 0x0a232bc5, 0xf82844c5, 0x6c41a6ba, 0x1fb1fb6c,
+    0x034e7f6a, 0xf469a002, 0xe2111563, 0x53ca461a, 0xa40ce07e, 0x6ccb0ec8, 0x256c709d, 0x643315a8,
+    0xcfae489a, 0xf08ec18e, 0x4103ab62, 0xffe7d1ad, 0x3c8a9f39, 0xc7508ca6, 0x4b9d0bf0, 0x7488df3e,
+    0x1cbcc74d, 0x1f0af893, 0xf1ec97c9, 0x18e9e96e, 0x388de3d9, 0xde647d6a, 0xfad13b40, 0x45b1f03b,
+    0xf2682f84, 0x08af768e, 0x36621049, 0x8886804c, 0x360340e9, 0x07ba92f2, 0xea3e7632, 0x17158506,
+    0x6713c680, 0x87314960, 0x6400290d, 0x061f79e9, 0x78f0cf81, 0x3ad36ba0, 0xf0decdc1, 0xfa3bbf20,
+    0x4d597588, 0xeed93a3b, 0xb62960c5, 0x3fc3f7c4, 0xb906b870, 0x2cec4eda, 0xf653a9f4, 0x3207c622,
+    0xbd6b6f00, 0x0b9b08ff, 0xbc99c690, 0x09983a92, 0x248e89c4, 0xeac842a5, 0x9fe3a3a4, 0xf40c7b16,
+    0xf662cac6, 0x7771a10d, 0xf882a116, 0x1c7fe554, 0xdc0d7358, 0x4fa63168, 0x0b14aca0, 0x77e95285,
+    0xbdc65619, 0xfb6097ad, 0x7a096b98, 0x22117217, 0x924f303a, 0xfc8c2cc5, 0x59a94e93, 0xbfff430e,
+    0xf9d871a4, 0x55c84753, 0x53f26ffd, 0x4a251a62, 0x3f9df60d, 0x5aecf8f9, 0x3c45181f, 0xe056c77f,
+    0x4149fa41, 0xa0107842, 0xe54d8a97, 0x15fef208, 0x02aebbdf, 0x4cd01aa7, 0xe91e5056, 0x63b2d85e,
+    0x76583a20, 0x62ad409c, 0x2e9dee3b, 0x84c3163f, 0x1cd2a711, 0x19f3f589, 0x266235ff, 0x50796275,
+    0x3d273e1f, 0xfd79f492, 0xaacbd2cf, 0x04329eb4, 0x16bcf53b, 0x64e791f3, 0x78a6976e, 0x7d2e142c,
+    0xd6637f3e, 0xd226f8c6, 0x46cc56a9, 0x8b5fa16b, 0xe8a33964, 0xd2849cd6, 0x94191585, 0x71343e0c,
+    0xe6ddc0da, 0xc85e438f, 0x0a4eb3a5, 0x1390075d, 0x0972ae96, 0x39347a27, 0x3e38291a, 0x63ffaa08,
+    0xf5764c9b, 0x69d46037, 0x4c0910a6, 0xba90e1c1, 0x4ca5b548, 0xe1dfc2fd, 0x7d94891e, 0xe4fa1213,
+    0x66e49d1f, 0x04f6db50, 0xdca58999, 0xba8b1f1d, 0x170345a4, 0x8fbd8dee, 0x4d81a517, 0x533a0f4b,
+    0x2631fb27, 0xbc522d08, 0xdd071c7d, 0xae4688b6, 0xa15953f8, 0x62c4c08b, 0x751c244f, 0x459eec48,
+    0x23852e65, 0x89b5cf30, 0x99d60427, 0xd74b866b, 0x5766c54d, 0x3d1f95d2, 0x1e7d042c, 0xd725a521,
+    0x76001275, 0x47c6df3b, 0xd83cf932, 0x04a19755, 0x10348a8e, 0x738a7f22, 0xe07cacd3, 0x5e3477e9,
+    0x68c54688, 0xc2cbf24e, 0x000cd58d, 0x541a2591, 0x679d6c88, 0xf50e599a, 0x0d611723, 0xa35a4928,
+    0x9ebf1a3b, 0x367b3066, 0x67ffaf1c, 0x6bf062cf, 0xc2fc8bc3, 0x384fdcdf, 0x52929824, 0x4f5c6115,
+    0xc34f63d7, 0x70024b3f, 0x73787412, 0xba541fce, 0xb6acbd2b, 0xe4d29d81, 0x5e2cdd8c, 0xb9244cff,
+    0x9a9f247f, 0x1d39e5b6, 0x0e158ad5, 0x74f8ef8a, 0x2bcd7c7b, 0xc9ce1e48, 0x7199080e, 0x62682071,
+    0xd6f68474, 0x4da84599, 0xc6ddad8d, 0x70443519, 0x16d93d71, 0x48cc4bcc, 0xec1a1dd6, 0x49efc763,
+    0xa58fe5e5, 0x35d82b51, 0x41fe0304, 0x6261d45b, 0x6e1698a8, 0x786f38bf, 0x867ffa6e, 0x8bf24b4d,
+    0xcb3b5409, 0x2cdd6930, 0x6e16a017, 0x06fe0b62, 0x1e7f3dca, 0x3304a9f0, 0xe539253e, 0xc444b7fc,
+    0xa7887e39, 0x33006fe7, 0x3b441e9a, 0x8311a42b, 0x12863fe2, 0x4a044e43, 0xb93a4a70, 0xb9e5fb75,
+    0xad5df42e, 0x701b4577, 0x28555cfa, 0x18459b11, 0xcf310485, 0x7f86b848, 0x977e74d6, 0x6a95b83e,
+    0xdfc24ebe, 0xd44cc6dd, 0xdc1f3d69, 0x9dafb556, 0x12635c07, 0x01a5a4bf, 0xeec5448f, 0x17576f1b,
+    0x5b14ee89, 0xf3695f7a, 0xa4844db4, 0xd32fdefe, 0x9e6e5bdd, 0xdaee1415, 0xdbdb5fd4, 0x220a7f0e,
+    0xc4a32d3e, 0x669932e4, 0xe175a43e, 0xaf18319d, 0x4dbadac0, 0x9064f789, 0x82832c3b, 0xae8cbee5,
+    0xfb615ffb, 0x3ad770ca, 0x9b3fe026, 0xdba2927f, 0x510647e6, 0x24922bce, 0x518b5ee6, 0x71d13ad5,
+    0xf5fa8e77, 0xf6755673, 0xcbb63f1b, 0xea1834cd, 0x870d5e5f, 0x9b61efdd, 0xdfd58dc9, 0xbf8dd07d,
+    0x701e49c5, 0x76bc8ce4, 0x1ad46c8d, 0x7609886b, 0x3a3e56b0, 0xfc1848d3, 0x2286d4b8, 0x499704cb,
+    0x109ba2f5, 0x23ccf338, 0x0d532cee, 0xf5700790, 0xc0ec9a08, 0x2137e124, 0xac667d20, 0x87df2907,
+    0x14d6460c, 0xc40adbe8, 0xcf14a83d, 0x0361a0ba, 0x2328a595, 0x5cae7c76, 0xd1b9e887, 0x4e5b0b9c,
+    0x7aef5f7a, 0x7cbbc062, 0x338b9b3d, 0x6c282eb6, 0x11dea281, 0x193b0846, 0x67e35065, 0xf06f9656,
+    0xe8593670, 0xd45152f6, 0x515fffc1, 0x386aa20d, 0x6a194c2c, 0x11a17438, 0x3e978632, 0x61a4b95b,
+    0x51449294, 0xafe3a39c, 0xcc4dd724, 0x0f4a75d5, 0x491aaa23, 0xfb3f0bc0, 0x9f2466d7, 0xe140f24e,
+    0x8fecf2bf, 0x7ea2921f, 0x747ec82d, 0x65b843bf, 0xc02e6caf, 0xbd1a5f7a, 0xef1df9de, 0xdeae317a,
+    0x58528d40, 0x0f4496b2, 0xbe61d144, 0xa42f91ba, 0x8e517abb, 0x1efe4bc8, 0x312d6461, 0x86314759,
+    0xd585483e, 0x8d87711a, 0xc0303458, 0xc42d7d83, 0xf052eb6f, 0x8f58fe99, 0x89b07d53, 0xf4b5e6f6,
+    0x9d61379f, 0xfa774d52, 0x36136ac2, 0xb0cb010e, 0x12d8c156, 0xa7d31f44, 0xcbd50267, 0x43c92fc1,
+    0xb04bd32c, 0xa1e55c46, 0x72a524e9, 0xad72370d, 0x055b7a9f, 0x74c02a3c, 0x97b9f7ae, 0x98b23e6a,
+    0x0c75acc6, 0xc27b0694, 0x51f8b552, 0xefc74344, 0x47a167e0, 0x59dced32, 0xfe1bedf8, 0x1f4212dd,
+    0x7b0e839c, 0x17aa6461, 0x38728fe6, 0x8e156738, 0x7731d87f, 0x17915bb5, 0xc4c9b4f4, 0x8db83a4b,
+    0xe2c226f8, 0x15f938a4, 0x8e0b95f1, 0x697efe7a, 0xec81c7fc, 0x8b4991a5, 0x14064737, 0x778b88ce,
+    0x22ef5934, 0x83c1fa8b, 0xe0b44811, 0xa5fef23c, 0xc9512215, 0xc631a8bf, 0x37dd8fa1, 0x9bbfdcb8,
+    0xfd773483, 0x892fd493, 0xc8f83c7f, 0xf19164fb, 0xa83986bf, 0xef2e46a8, 0xc25b1555, 0x17bca9b2,
+    0x389883dd, 0x4fbbcf16, 0x10c2db1c, 0x6d248cff, 0x861315de, 0x3eba556a, 0xda89571c, 0xebb6ab09,
+    0x12d0e43b, 0xe96e789f, 0x7367f662, 0x77017482, 0xea43895b, 0xcdb07ae1, 0xa8ac8256, 0x032535b8,
+    0x134c9f7f, 0xb2c300e6, 0x5df3a2f4, 0xb9ab8839, 0x6aedb474, 0x33544711, 0x54843cbb, 0xe18f3237,
+    0x2b216c4b, 0x2593ab5b, 0x315049ec, 0xbcfbab3b, 0xb9a5fc18, 0x3810c013, 0xdd464f7a, 0x378774e5,
+    0xc170087a, 0x0708f637, 0xee6b1ce8, 0xe72cd392, 0x28d257a3, 0x7521199a, 0x38738b8f, 0x4f62a28c,
+    0x5b6c625e, 0x8772e35f, 0x60171207, 0xd65903c1, 0xfcf41b74, 0xe144b3e5, 0x8cea2042, 0xe596e07d,
+    0x24dfd7e3, 0x25e950fc, 0x03887ae6, 0x08ccb0b1, 0xa6fffacb, 0x8cad2228, 0xf40567ab, 0x30d99d88,
+    0x01f52151, 0xa6b1dead, 0x49a77d3a, 0x9be846b6, 0x1f9f1c27, 0x2cd82133, 0xd5c8c6fa, 0x1e34f674,
+    0x96e61ffd, 0x09761bfa, 0xa684391b, 0xa7e30a7f, 0x2bf7b3d2, 0xb8eecc35, 0xeb1938e8, 0x87e7f7d8,
+    0x00000000,
+    0x2f99af01, 0xf7d187a6, 0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750,
+    0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000077706755\
+                          68902916283677847627294075626569627356208558085007249638955617140820833992704 */
+  { 0x00000000,
+    0x6c6ca69a, 0x45a04d27, 0xcb38a0bc, 0x2c39e69f, 0x71d1cce4, 0xd996a820, 0x936e2e7e, 0xc7fb0e0f,
+    0xbb38b3f9, 0x071433fb, 0xcfa7dba1, 0x24640bf9, 0x8e2977ea, 0x7addab99, 0xfab7812c, 0x581ac01c,
+    0x46efac00, 0x401e838a, 0x8b3575fa, 0xacebc02b, 0x5b57f60e, 0x08871215, 0xd0226dc3, 0x0ba12493,
+    0x5191dfb3, 0xb91f9978, 0x18f3d6df, 0xbd1e18ee, 0x59317c7c, 0xb1330817, 0x239ac676, 0x7510cada,
+    0x2ad3fd6b, 0x726220e4, 0xaa120cb7, 0xf27b37b1, 0x7d102dc2, 0x1b13314e, 0x90747619, 0x660c562f,
+    0x615a6337, 0x4bc316be, 0x294d5a69, 0xc3065d0d, 0xf5ff60d5, 0xfd8c27fa, 0x1b2da139, 0xa7cfedb9,
+    0x379ed11e, 0x2c94a647, 0x6cc0e7e9, 0xd753b788, 0xddf72600, 0xb2824f68, 0xac53a738, 0x52b0a9b4,
+    0x13650e75, 0x3a6431ba, 0xa815f8ba, 0xc38f6beb, 0x02ffd8f2, 0x22919c93, 0x59211782, 0x8f5e016e,
+    0x0903df2b, 0xb1c2248f, 0xab3d7cf3, 0x93842875, 0xf19eb6a7, 0x35d5cc51, 0x08bf95d4, 0x32c1788b,
+    0x0db3b50e, 0xc56cff00, 0xa238609d, 0x0cb0491f, 0x8604831f, 0x56b6acf1, 0x1f33410c, 0x129b7106,
+    0xfd8ffa47, 0x0e7c259d, 0x75127455, 0x229cec84, 0x9de9424d, 0xe36d8e53, 0x9fd4b984, 0x369eddc2,
+    0x71962c01, 0x68a3d42d, 0x312f54ff, 0x9d3f6fcb, 0xec63779e, 0xccfb6b78, 0x9e0da841, 0x9695e6fa,
+    0xbbe7d6e0, 0x4cc214bf, 0x2f2bb386, 0x166b308c, 0xfd96c3d2, 0x1eabee67, 0x420c5d72, 0xa5c4361b,
+    0x643c5fa4, 0xfe07f33d, 0x62b62365, 0x7ee4e48c, 0x1f77bcca, 0x9bd84de7, 0xdf167c3b, 0x785db1f0,
+    0x1eab5782, 0x427806cb, 0xa2083c70, 0x7d727424, 0x06aaedb6, 0x0291381b, 0xfcbc3dca, 0xd277c7c1,
+    0xb4ec0726, 0x48861822, 0xf63a1421, 0x9c5452d1, 0xba0aa45a, 0x29d0f6d7, 0xa04da301, 0xa9220d5b,
+    0x7a5edfd1, 0xaaac2c84, 0x958dd217, 0xbf7c3d30, 0xdc82e105, 0x9c379cdd, 0xad690b95, 0xf05da450,
+    0xe2fb7112, 0xda755f21, 0x34293111, 0xd902238a, 0xe2601947, 0x11153a57, 0xe4ddca00, 0x0c80ff98,
+    0x42509dd5, 0x9b6497cc, 0x6506f9d0, 0xf5774350, 0x4e957a67, 0x4d8224c1, 0xa0e06c8b, 0x0e60dbfb,
+    0x678136ae, 0x064a2fff, 0xd204c525, 0x6fa6345c, 0x283b97d4, 0xc373f72d, 0xf0c5e19b, 0xf0c3e690,
+    0x3ee675ea, 0x8dbd6cd6, 0x2cff97ed, 0x45c2a2dd, 0x698057f1, 0x207aae30, 0x6f49ab25, 0xd4ac50a4,
+    0x301697be, 0x7eec1de6, 0xf2932b64, 0xa39ae615, 0xd036e3cf, 0xa3a4822e, 0x53bfdd65, 0x431be34d,
+    0xfac9bbe6, 0x0bddfaa8, 0x13416f77, 0x721fff2e, 0x674ae8f0, 0x6bbb135a, 0xd8a15def, 0x82b3e27b,
+    0x290d10b8, 0x50e7dd10, 0x16c85d12, 0xdf32fb8f, 0x91c5512a, 0xfd350114, 0x210d5df6, 0xf96b8ce2,
+    0x311dc5f3, 0x2777bf8f, 0xd96a7cd5, 0x360db916, 0xc573c424, 0x90d1ba35, 0xdee818f9, 0x11381f17,
+    0x2e92d0a4, 0x124c6276, 0x92ae789b, 0x5835b705, 0xde6b06a6, 0xf1f10685, 0x8af9e49a, 0x699b240f,
+    0xde1d159c, 0xaabe9665, 0xb27ba86b, 0x892b1c28, 0x74cc5490, 0x88c410a5, 0x19efa791, 0x76142c35,
+    0xb439a971, 0x996e0e3b, 0x2a26b434, 0x51f4ebaa, 0x809c41b5, 0x433767e1, 0x95eb055a, 0x40997213,
+    0x3d4e33af, 0x464041fd, 0xf3c9b779, 0xc5513c63, 0x7fc04f29, 0x3237e72b, 0xefa223f7, 0xa66198f2,
+    0x1dcf9636, 0x8c6cd347, 0xce977c96, 0x46393a62, 0x0e24971f, 0x91047db3, 0x070d952b, 0x6f0178dc,
+    0x4fe52845, 0x0ae00ab1, 0x935f059d, 0x009b7e95, 0xa0a7634a, 0x924d802f, 0xf3cb77c6, 0x9eeeacdd,
+    0x5995bd24, 0x3a36f960, 0xc901a9fb, 0x071f0043, 0xfca4fad3, 0x2c67ce72, 0x505346eb, 0x4738a504,
+    0xe97454fe, 0x455e00e3, 0x1b3baa44, 0xbc64c91f, 0xa975a134, 0x75927e83, 0x525e4909, 0x5005111f,
+    0xe45b7837, 0x68e06f80, 0xd0b4fdae, 0xc391301e, 0xba2f3c33, 0x5807012d, 0x2f1be067, 0x3e7c3e4d,
+    0x9996ab81, 0x0cfa3724, 0x6f771e50, 0x7e6de641, 0x500da6b1, 0x998198f0, 0x6ffae79a, 0x5d7fe96c,
+    0x27586fe8, 0x9ff251b3, 0x3eb3cf4d, 0xd811fdd8, 0x9aa3133b, 0x54a4592d, 0xd03df704, 0x67a6d49a,
+    0x2f37ea45, 0xd58b1638, 0x9255db92, 0x377d3711, 0xe33f66a7, 0x63b1b2a8, 0x8ca9a27e, 0xc6184d30,
+    0xc2f643c0, 0x7748d36d, 0x9a6da2fd, 0xaf07b5ff, 0x99e1d29d, 0xb438ed5e, 0x92b8dde0, 0x97740d5f,
+    0x83dc9451, 0x2ff431e1, 0x9837d029, 0x76d8e640, 0xeab0ec25, 0x5380638d, 0xbd18d24c, 0x10138060,
+    0xb9731379, 0xbb37c7a9, 0x82b61acd, 0x816a28d6, 0xb03f816d, 0x95ee5475, 0x49a6d6db, 0x7a76223b,
+    0x602ffa67, 0xed900a4b, 0xb9ab4671, 0x0705d3ac, 0x0fd80ce3, 0xa8aaa5e6, 0x88f6eb60, 0xf2edd218,
+    0x25a77472, 0x0b4f0081, 0xa61681c4, 0x8a36d43f, 0xe8e66577, 0x5ae70a20, 0x8fd81910, 0x631cd88a,
+    0xd3641792, 0x88725469, 0x96c32e36, 0x49584ca3, 0x568e0374, 0x104e7533, 0xa1ce2163, 0x55f201e5,
+    0x2a561271, 0x926505e8, 0xa7b53768, 0x4aa1744b, 0x90cf901d, 0xd3eb7854, 0xf8becc8d, 0x820192cb,
+    0xa421be6c, 0xa9b069d2, 0x07f93198, 0x7a654c63, 0x6ba123b0, 0x70ccc01b, 0xe3fa4a08, 0xa8a59629,
+    0xa494f11c, 0x8b13939a, 0xa6e73403, 0x9e5b2726, 0xdbc1b733, 0x79fdfda7, 0xf45e82d9, 0x50df80be,
+    0x4971600d, 0x6d62d1e2, 0x3dfb38c5, 0xde0c9123, 0xb3479ae1, 0x9a7c43cf, 0x2b52bda3, 0xa5225b88,
+    0x898dc34d, 0x5d508e48, 0x67779a67, 0x26208c1a, 0x741305c5, 0x94f3713f, 0x0de88b76, 0xca3aad95,
+    0x1350f514, 0xc29df280, 0x4f147cc8, 0x8ed0ff2e, 0x83eb4cf0, 0x2e6a34e2, 0xdbcfc656, 0x7815af11,
+    0x4881c14b, 0x73a714dd, 0xf0626387, 0x74802203, 0x739a1307, 0x581d59ee, 0x499f1b6f, 0xb3aa6808,
+    0xfe62596e, 0x40ceea7c, 0xc2559023, 0xc6c61ed0, 0xc9f121a7, 0x9a570454, 0xeef301bc, 0xe151a650,
+    0xd6bc41e2, 0xc07e8ad9, 0xbc5af663, 0x55550776, 0x66a20e22, 0x7401d257, 0x33f6e147, 0x9663c0f8,
+    0x2dee7fa4, 0x8ed816b3, 0x2e6dc715, 0x8124bcae, 0x262c648d, 0xb3508f44, 0x59579cc1, 0x602e06d4,
+    0xd52fd7b1, 0x92b4d966, 0x8b4160b9, 0x5807284d, 0x828443cb, 0x90ef4efa, 0x60d24416, 0x134dd236,
+    0xa6f3b072, 0x0ac9a8a7, 0x23500f6f, 0x69adf1dd, 0xbc57ba19, 0x06f57efe, 0xa10cf05f, 0x03f770cd,
+    0xeace05be, 0x0437d480, 0xc8709764, 0x4795fde9, 0x7d2374ab, 0x67db760f, 0x0204e10a, 0xe7783863,
+    0x3faca6d6, 0x5d6d3b38, 0xa4af81de, 0xd532f409, 0xb11168cb, 0xba3884ae, 0x4fea662a, 0xab1a662b,
+    0xd251321c, 0x01f7e658, 0x7acafde5, 0x05d111c1, 0xa1c9b5c8, 0x92e3f15c, 0x0e0ab0fa, 0xc8521335,
+    0x0fbdb17c, 0x6ac26dee, 0x8c331c51, 0x23f9b3d6, 0xfe526c97, 0xa3eb7e24, 0x10c20454, 0xadc07b9d,
+    0x9492c0c8, 0xd9cab861, 0x61874cfe, 0xd9e0d2eb, 0x261e8b9a, 0x05d75945, 0x7d7e80a6, 0xc61362eb,
+    0xb91cf5ca, 0x52b53b9f, 0xd6454680, 0x6a252fb1, 0x22acba6f, 0x540f90ee, 0xb60f614e, 0x677767aa,
+    0x0bb4954b, 0xc13fdcee, 0x616866ee, 0xa960cf07, 0xd91c69d8, 0x2b5f96cf, 0xf0f4fedf, 0xe1202b19,
+    0x1a602a11, 0x9202365a, 0xdd2acc5c, 0xdce21dde, 0xfc07a39f, 0x56b45704, 0xe004d184, 0x289a3d5f,
+    0x9be6ab77, 0x03410c39, 0xfb8935ab, 0xcded21bb, 0x7fc2d859, 0x4e26ab51, 0xc51bbc97, 0xd17fb988,
+    0x17b6b8aa, 0xb42b315a, 0xe5157738, 0x58569769, 0x93219716, 0x7dbe771e, 0xe8aa8aa3, 0x96496fc1,
+    0x7339ae72, 0x1d10531f, 0x392507dc, 0xff681c15, 0x48806433, 0x96b0e074, 0xd77d7a3f, 0x48c0dc6d,
+    0x6bf41de8, 0x23af8bac, 0xc669cc32, 0xb0c637f1, 0xdc9c4109, 0x7a449337, 0x5745dbd2, 0x976ceb9f,
+    0x13d3f844, 0xfb05d6e1, 0x3ee96e52, 0x7d262711, 0x7c2a21a5, 0x8d59bbbc, 0xd36d6f3f, 0x86035317,
+    0x3fc6288c, 0x86f55dd9, 0x4cf937b0, 0x453746a0, 0x070721a6, 0xc8c73750, 0x71ed9324, 0x2e47f584,
+    0x484658bd, 0x2c89922c, 0xa361de03, 0xe3a51b78, 0x97ffcb9f, 0x7c180f6f, 0xe4fb740e, 0xc39058ed,
+    0x3a874731, 0x895dd511, 0xc6be3bf4, 0xe0150393, 0x4db59d0f, 0x114827ed, 0x9cfde0fe, 0x6dcb4b7e,
+    0xdf10043b, 0xf380640e, 0xbd22280f, 0xa21b5e21, 0x3dee6bd4, 0x4b68afe4, 0x7ae46a1c, 0x8341991a,
+    0xbbba71a8, 0xce030432, 0x42da7125, 0x676a4256, 0x5e03fff2, 0xabbdda97, 0x4451f87d, 0x7cf11b21,
+    0xa60a8885, 0x66b3be68, 0x6d6b792f, 0xcbb26ecf, 0xa203358a, 0x960d57e8, 0x91cf1a00, 0xedd42b35,
+    0x4e9e0e0e, 0x2cd2438c, 0xd8937bac, 0x51125307, 0x55e872f4, 0x47ad6914, 0xcbe61702, 0x3b16ce0a,
+    0xd983a177, 0x9c86ffdd, 0xeb9ccebc, 0xc119736a, 0x47271c30, 0xf9ed612b, 0x0ff35012, 0xae2b0f62,
+    0xbcdde8ec, 0xd1e1a8f9, 0x14c9f446, 0xfe11bf96, 0x696e6426, 0x2c2a46e4, 0xad2124f4, 0x15a3cae5,
+    0xdda3a813, 0x276033f4, 0x41892456, 0xfb1f2146, 0x18e8437a, 0x85fbbeaa, 0x9de22dc5, 0xafe6318d,
+    0x9019b905, 0x24d134f9, 0xfb2ea629, 0x10a9150c, 0x359acc4c, 0xe9bea513, 0x9d3ffc29, 0x2f586457,
+    0x1a034867, 0xd0e92c98, 0x266a54cc, 0xe13a5aa0, 0xbc8cf474, 0xc2f75f8b, 0x0a141ea2, 0x8c3fb3c6,
+    0x91d69542, 0x23e49ac3, 0xd2fc9b85, 0xd2c074d6, 0x3e547810, 0xbcadd08d, 0xef80881c, 0x48db68e2,
+    0x0cfda024, 0xd2971aa0, 0x0466fdd8, 0xbe532fc9, 0x1c5ddc77, 0xdd66fdef, 0x23f9dc8e, 0x6820d164,
+    0x2a4f95b4, 0xcef6beb4, 0x4c2b5259, 0x903622ac, 0x03d7aced, 0x8beb822e, 0xcc1dca0f, 0xd110ddf0,
+    0xfcbc042d, 0x8ba87cfc, 0x8553a1c3, 0x081060df, 0xc964d976, 0x8824d51c, 0x06603f1b, 0x898e96dc,
+    0xa13304d0, 0x8a547770, 0x983f8adc, 0x8685b13a, 0x95de12c1, 0xa07851b7, 0x4ec400c3, 0xffef4279,
+    0x816b0cb2, 0x0eb44c1b, 0x1247010a, 0x63f9932b, 0x3cba7ec2, 0x314fd60d, 0x8598213c, 0xecb2eb40,
+    0x2763b328, 0xca939894, 0xa4a2eb2c, 0xb61960a7, 0x7d0e36f4, 0x6c5ffbf7, 0x15bee4d7, 0x3ec6f746,
+    0x41da2da4, 0x6f683e87, 0x2d86c902, 0x21eca859, 0x644e8648, 0x98dae5ce, 0x8d3c1f3c, 0xd220ba96,
+    0xa805556f, 0xdef897f0, 0x5355972e, 0xd27a4f23, 0xef4ad53b, 0x6272d602, 0xf538fcdd, 0x9b8b93f9,
+    0x1fe62664, 0xedcba84b, 0xdb72ff23, 0x2a9e7bc4, 0x510ecb85, 0xf7c8df98, 0x7c03dad7, 0xe1474cf1,
+    0xe0871004, 0x9fcb442d, 0xf7d2c2e2, 0x1abc64cb, 0xe17c78dc, 0x5a72196d, 0xffc1a302, 0x8626c1bc,
+    0x8de1d805, 0x6a8775bf, 0xac2d4d85, 0xee1bb7ff, 0x61e0a169, 0xf5f97ed5, 0x43887020, 0x45c33cbb,
+    0x4a572445, 0x12bcea1c, 0x1ac73260, 0x6a775e92, 0x88b6ef43, 0x817d25c7, 0xea7557a5, 0x6650a4ca,
+    0x6834c8b3, 0xccc17859, 0xc8f21d87, 0xe09e3291, 0x9ab52dcd, 0x18b65496, 0x21202539, 0xc7bea731,
+    0x894d3501, 0x06855c61, 0xdee09720, 0x218a978d, 0x3f13b396, 0x054bebaa, 0x59028680, 0xe9ed5503,
+    0x175e78bd, 0xcd7a4512, 0x4d227c19, 0x4b0abb32, 0xc1b8c406, 0x4b6d9954, 0x17aaae6c, 0xbf5dbf6c,
+    0x70f11492, 0x05fcc9c0, 0x24cc97e8, 0x3c5c9e20, 0x7aa88af0, 0x7400de97, 0x47c8783d, 0x424523db,
+    0x6af88ac7, 0x47b40fc7, 0x131d3bc2, 0x353dd78e, 0xe2a810e4, 0x1491b0a2, 0x74b037a9, 0xc759c916,
+    0xc5ad90c8, 0xd862ad65, 0x2e2e5e3f, 0xfa2c5ceb, 0xa252d86a, 0x2d1c1df6, 0xd95a8fc1, 0x4a4a9fdb,
+    0xb0e7e4af, 0x3de7dfc1, 0xe007e8cb, 0xdd7619df, 0xc4d9d1c2, 0x382513dc, 0x58c029b3, 0x9fa54519,
+    0x0d421010, 0x50f5d395, 0x23222794, 0x97ffcd0d, 0xd0fb6e93, 0x21613b7a, 0x7cadef47, 0x743cd4af,
+    0x53128f9b, 0xf26520f7, 0xec1cba7a, 0xde7a727b, 0x3d8ce1c2, 0x8d672261, 0xfd91ed91, 0x74fba5cf,
+    0x84676093, 0xbf0b8c1c, 0x5c9c4a35, 0x70583de4, 0x97c56e30, 0x2bc3397d, 0x0b22888e, 0xd2b97af3,
+    0xebcb2028, 0x188f0e14, 0x160b0b03, 0x79d429ed, 0xff66740b, 0x34341b5e, 0xdae58c16, 0x8fea63a9,
+    0x92bd9dd7, 0x086de9a1, 0xb381d673, 0x6adc3547, 0x3fdada29, 0xb5b14a54, 0xb58e1657, 0xd5b9bf3d,
+    0xc2b47adf, 0x224256b5, 0x85ff3139, 0x5a90e996, 0x322e95fb, 0x119f3550, 0x2a3063cc, 0x9e512c32,
+    0xcfcabfef, 0x2c99d6a8, 0xfa14250d, 0xcbdc586d, 0xec81736d, 0x3bd5285f, 0x5a4d71a2, 0xad759035,
+    0xecde8487, 0x1b2b2f51, 0xa0d27f17, 0x48aebcbe, 0x20ed5ff0, 0x7789bb4f, 0xf469f327, 0x95c4c6ce,
+    0x24494cd6, 0xad9bfc66, 0x8b8efe8c, 0xc1f1cc26, 0xaa06b6b8, 0xb90f5835, 0x64ebcd64, 0xc5746887,
+    0x1b3e7eb0, 0xc4148bbb, 0x85aebe00, 0x26590eb5, 0xd992bfb3, 0x386b419a, 0x0094bcd1, 0x50fac732,
+    0x52ddfb8e, 0xecfb91fe, 0x30af6c20, 0x4630776f, 0x5a5b1c6a, 0xf1fce750, 0xadf042bc, 0xd29e4fe6,
+    0xb3458d78, 0xf1fe8cc2, 0xb0e9c439, 0x706f8c68, 0x55c442a3, 0xec9ae2c1, 0x33e2cd58, 0x726889ed,
+    0x00405ab6, 0x08a0f3c2, 0x9c6be98d, 0x9c0a99cc, 0xb8ec3ea2, 0x6de9f256, 0x47db4b61, 0x5aef946c,
+    0x4aca8a53, 0xe7cbdeaa, 0xc191d73d, 0xf6188a0a, 0x642cea59, 0x761d6f30, 0xc49c7306, 0x38ec69eb,
+    0x9b5e6fb4, 0xe58084d5, 0x809064e9, 0xbbf453bc, 0x7f3df42b, 0x59774dbf, 0x67b4fd8c, 0x877bf9ac,
+    0xdf9cc3df, 0x02811314, 0xd5445dc3, 0xf21838b4, 0xbf1051d3, 0xd099e0fc, 0x5277fbfc, 0x291ebac3,
+    0x029298c3, 0x044556d2, 0x23171314, 0xa410ba3d, 0xc1ce6992, 0x581cb5ab, 0xa7fe0165, 0x32c4ddcf,
+    0xe018d3a5, 0xc1deab62, 0xa58ec879, 0x18ad93e0, 0xb7cae64c, 0x371e81a0, 0xb25867e6, 0x566dc54f,
+    0xea7362b3, 0xa6e9bf95, 0x37c84fc4, 0xee527d41, 0x61ff4bbd, 0xa72dbd64, 0xf17f0905, 0xa469a5c4,
+    0x2948bc74, 0x3e9e75af, 0xaa84b627, 0x6b5bf0ee, 0x299bcaff, 0x5fca4e33, 0xdc3e0049, 0xc9a10926,
+    0xdeda619e, 0x7165b6ae, 0x66a1d1f2, 0x4382c921, 0x41b06544, 0x00111f9f, 0xb13f1045, 0x8c543191,
+    0x31ec850b, 0x9acf25b0, 0xb9b3d871, 0x991f9de1, 0xf9bdfcc7, 0xc7999383, 0x457aba32, 0x1fb9275a,
+    0xb4488476, 0x3f502ff7, 0xd1af2a86, 0xcf5b334d, 0xe00211e1, 0x90bb00e7, 0x563e48e3, 0xef70000c,
+    0xd4c0cb7b, 0x9f112e55, 0xb0b73a8f, 0x190ccf0b, 0x6bcce6be, 0xc8e430f0, 0x3f9911a0, 0x62d78f8a,
+    0x009d9cc8, 0x694a447b, 0x1a545d81, 0xe697f390, 0x8a9dac1a, 0x74206ce6, 0x92c556e1, 0x5cd30be4,
+    0x79998a4c, 0x849a2ccf, 0x203cc4ae, 0x74cc3b0c, 0xd8a3b33b, 0x80f68772, 0x21534742, 0x83e4d276,
+    0x00000000,
+    0x17ccd780, 0xfbe8c3d3, 0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8,
+    0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000038853377\
+                          84451458141838923813647037813284813678104279042503624819477808570410416996352 */
+  { 0x00000000,
+    0x62328892, 0xe2873540, 0x800dc38c, 0xcdee9afe, 0x2d8787b3, 0x0802e3ad, 0xdfb8a7cf, 0x3a997006,
+    0xaad17f80, 0x5af7ced1, 0x0fb47197, 0xf89001f1, 0xf93cb92e, 0xb6b9a369, 0x0ab62a48, 0x6aa93896,
+    0xffa7b38d, 0x36815af1, 0x5e6da946, 0xd2a40816, 0x5fdb830b, 0xe6729c96, 0x1bf52d7f, 0x5f2b528d,
+    0xce422cc7, 0x128bbf4f, 0x077c395d, 0x9f395284, 0x8d9047cb, 0x22434925, 0x049112b8, 0xd18348d4,
+    0x1993d71e, 0x2add7700, 0x35e0d55f, 0x22104458, 0xc1c2e03f, 0x22a75547, 0x31d69261, 0xe3e07c08,
+    0xa2ef9769, 0x72e55a4e, 0xb4e07c97, 0xaa39d499, 0x476b38ec, 0xe67c1385, 0xbc7d7342, 0x90eaeab4,
+    0x3f59056b, 0x960ce829, 0x30c2ceef, 0xf9cd8a49, 0x02588146, 0x57947314, 0x74c71e97, 0x63a2baf5,
+    0x98bf6130, 0x3bcc43da, 0x0ba53efc, 0xa7785bed, 0x82c59fdd, 0x60c283cc, 0x84b21e20, 0x277e4fd6,
+    0x00b9f3cf, 0xa1ff2aff, 0x97a85a68, 0x55be7138, 0x00c18127, 0x29a71e11, 0xe18ef2d3, 0xaacfc07e,
+    0x4b98567f, 0xd7df662b, 0xce70a8f2, 0xf327b63e, 0xc006d4ea, 0xc6816975, 0x6f35c6fe, 0xd969526a,
+    0x246b844d, 0x776cdb13, 0x819a86ba, 0x2177ad12, 0xf59e34d9, 0x8756bb80, 0x1409fd83, 0x6a4977be,
+    0xfc025d4c, 0xf3809f01, 0x9acd4f53, 0x7262c88f, 0x98719054, 0xa4deb38a, 0xa277c848, 0x3d3f3bb5,
+    0x9e52c880, 0x6ce58522, 0xb3d9ca74, 0xf5addc80, 0x33ef2fe6, 0xd8481075, 0x2f930edb, 0xfd09918f,
+    0x9c9c0020, 0xbe15c2a8, 0x05a12420, 0x402d70f3, 0xc7aea7c2, 0xcb74a6ad, 0x0cbae019, 0x99eb19c1,
+    0x6cb145f2, 0x91f05523, 0x3a32fc1c, 0x2dffb05f, 0xa08297e7, 0x6ee74ae6, 0xc19b8bfa, 0xa28ea85c,
+    0xce16529f, 0xe0e7e26d, 0xa3977d76, 0xc7932a18, 0xa0cbdca3, 0x211ada18, 0x2bf753e3, 0xf6ab0a3f,
+    0xd2985eea, 0x59a43fe8, 0x320bf5c0, 0xb0f63f13, 0x8805386f, 0x0d97fe32, 0x12d1e62a, 0x79a7aa06,
+    0x9806e258, 0xb4106ac9, 0xe2f3fb8b, 0x32dc6e84, 0x3865c9aa, 0xc8c539b4, 0x874a7a26, 0xe1239de1,
+    0x2492d738, 0x4047dff2, 0x9c4e4e84, 0xa983d799, 0x2888a05a, 0xb4223878, 0xa93f0ecc, 0x52a2c789,
+    0xf44fe70d, 0xea9335b9, 0x07af6025, 0xc6237071, 0x99f47b68, 0x8d04a241, 0x40ec5e21, 0xe7b619ed,
+    0x80bf1d9f, 0x03d52bc8, 0x6838f375, 0x7c39b24b, 0x2f9fa95e, 0x8682016e, 0x176b96cb, 0xa080979d,
+    0xa0ad7cf3, 0x308d4a9f, 0xce0d2289, 0xcd57cc1c, 0x6640b004, 0x67690ea6, 0xf69680f0, 0xa866298d,
+    0x4f73f843, 0x0d8c44d4, 0x845fcbf8, 0x9e4882d2, 0x21de0cbe, 0x7ef77452, 0x88af447c, 0x8b473367,
+    0xed9b6587, 0x7ddc13da, 0xd5f08b69, 0x967fd9bc, 0x3e58793d, 0xfbb7e649, 0x33ddafc2, 0x08b73f42,
+    0xf38378d4, 0x07241a6b, 0x3212125e, 0xd05b0642, 0x39e60b6b, 0x1e99d4a9, 0xd14b8beb, 0xf86a4ec8,
+    0x6b60b61b, 0xdaa90b88, 0xecf94908, 0x23d3fe8a, 0xd26d109b, 0x2094d690, 0x3d355d7e, 0x0f0e74bb,
+    0x3a50a8d6, 0xfaeac305, 0x2b58bf53, 0x7bad76ba, 0x6b0da4d0, 0x20c33f70, 0x85d9c936, 0xe4b65981,
+    0x43cb27cc, 0x76bad262, 0xcc86b3bc, 0xb751909f, 0x4c4563d7, 0x9fe0472a, 0x8e02f514, 0xa49e3dae,
+    0x02af7d93, 0x24cda3a5, 0x93686876, 0xeecef593, 0xffc0701f, 0xa5670d95, 0x6d6ae1e7, 0x7a78168a,
+    0xb5d86524, 0x64e97403, 0x50c828b4, 0xdb4b86bc, 0x684742a0, 0x2949513c, 0xeaed99aa, 0xfa5cd07c,
+    0xc0b11008, 0x0d904062, 0xb163b05a, 0x99b55fec, 0xf8fac7dc, 0x37b69878, 0x1305110d, 0x9522c89b,
+    0x80f5bf6c, 0x4b50efef, 0x9b3aa644, 0x0504997f, 0xea94eb9a, 0x513b6618, 0xbb9e3710, 0x904138ba,
+    0xb3ddf102, 0x8f915af9, 0xdb183500, 0xce5e9045, 0x38a5981b, 0x2f5ef5d5, 0x25e14afa, 0xe5a2812b,
+    0x3191af3a, 0x57f967fa, 0x24f73f3c, 0x89a41bf0, 0x84bbd838, 0x1c824423, 0x9f8ce305, 0xdb00e35d,
+    0xcaa79a38, 0x019085c1, 0x60f44ebd, 0x8c8c5d61, 0x6c3ec9d4, 0xdfd3fad1, 0x099fc34c, 0x53a09f41,
+    0x1ae4bf12, 0xeb89aa53, 0x1e21921f, 0x4478d2f4, 0x94240cf3, 0x08c50a9e, 0xc1b766c8, 0x412879dc,
+    0x1f4fc18c, 0xcfc8d4e8, 0x490ef7e8, 0xa45654df, 0x21062506, 0x2f548d79, 0x75641b01, 0x56bd7e2e,
+    0x7b60773a, 0x67f9c3a5, 0x295a3a99, 0xea7485aa, 0x78ab9e36, 0xb292f568, 0x0374910e, 0x4db884d8,
+    0x1352cb12, 0x318cccfb, 0xbfe39d28, 0xeecd9861, 0x44023f68, 0x6be3c035, 0xab08c69f, 0xfaa322ec,
+    0xf9e9b94e, 0x81360147, 0x328b405f, 0x2f0b0e09, 0xd0f0d9bc, 0x861b5af0, 0xc3768085, 0xe61d0f46,
+    0xd17657f4, 0xfe9d27d5, 0x7fb6cb5b, 0xd0af6c5d, 0x3f94c3de, 0xca4e0054, 0xbc88938f, 0x08c2718c,
+    0x54822147, 0x943c963c, 0xd3171a19, 0x3cba68d1, 0x00323f51, 0x11be55bd, 0x982e0504, 0xb4f40c0d,
+    0xa492bb84, 0x562cab47, 0x005ef9c1, 0x473cf66a, 0x7c7158ae, 0xe33443c6, 0x04aa9c6a, 0x0dda5c9f,
+    0xb1a3d42e, 0x072004dc, 0x567afcf4, 0xa0fddec0, 0xdb47d632, 0x80bedd7f, 0xed901ac8, 0xef23c2e1,
+    0x73391541, 0x2c6d2a92, 0xc59f28df, 0xde33b8ce, 0x2dbcc48e, 0x974b9934, 0x65f0dd42, 0x004babd1,
+    0x17742e9a, 0x9ca523c3, 0xc58b01fe, 0x899576e5, 0x23c34c78, 0x592b319f, 0x2cdb9d82, 0x7963cc48,
+    0x809b6841, 0x529625ab, 0xa2abf530, 0xb3d1e4f1, 0x7cafda36, 0x68100e18, 0xd107ffbd, 0xb0340c06,
+    0x8a41e7d9, 0xb9fbaeeb, 0x2d2fadce, 0x7f271abe, 0x4a23fb05, 0x701f92c6, 0x810e302e, 0xb515aeaf,
+    0x67e219af, 0xa306cdd7, 0xf18b1602, 0xfc5dcaf9, 0x30acf1d0, 0xeb995a45, 0x4b77877d, 0x6d1a0bac,
+    0x29805ebc, 0x10b6084d, 0xd6bddf18, 0xc5ff45ba, 0x849b58c1, 0x5d2b9da4, 0x974b136f, 0x1d1f2d6f,
+    0x79cf4eaf, 0x91e64146, 0xa58e653a, 0x318c3766, 0x5bf5cfa1, 0x329e49a3, 0xa48b28b1, 0xd037b202,
+    0xe45e9c0f, 0x1e3639ec, 0xdde51433, 0x6dfd16b1, 0xea9d4b23, 0x84d200c8, 0x6d37c007, 0x9e599e3d,
+    0xd28de6cf, 0xf29cf22d, 0xeae576b6, 0xcd2e8620, 0xe8130a9d, 0xe19782e5, 0xc722eaff, 0xdef65981,
+    0x6e79b3c2, 0x45075d0a, 0x47fce741, 0x0900c4a8, 0xe148d3c5, 0xe6109fed, 0x449ed4ca, 0x5aea5474,
+    0xdca7b8b5, 0x41f773fc, 0x260abd4a, 0x9981dc55, 0x2c7d7499, 0x03355ecc, 0x76c85373, 0x70fa7eb2,
+    0xbc6c239e, 0xe3f9ed5e, 0xd75f4ca5, 0x791188d7, 0xfeaa81f5, 0xf799e042, 0xf8f3d147, 0x8bda63ca,
+    0x473564c4, 0xcc5661b0, 0xaf724b37, 0x34ef4579, 0xb1513987, 0x20e235bf, 0x9afb12dc, 0x69e630e1,
+    0x4b719b62, 0x0a6187e3, 0xee71340c, 0x97ba5c57, 0x9a1aa2f2, 0x3bf1cea5, 0x16048944, 0x2f9f8bbb,
+    0xfbf1a9fa, 0x60d05323, 0xcb3a7afb, 0x6a40b27d, 0xcb7f6aad, 0xd213c445, 0x13e277ad, 0xd6dccb9a,
+    0x43b16bba, 0x3eaf029e, 0xe341456b, 0x7d863892, 0x2dcbec45, 0x4d0ea979, 0x064163e5, 0xf0e5d9ac,
+    0xb255061f, 0x4c4dcd0d, 0xdc2ec9bd, 0xfa686064, 0xd708613d, 0x512cfd85, 0xa77e7540, 0x03f08f52,
+    0xb0fe7c73, 0xfb389e8a, 0xbcbe4ef1, 0xdfe0c596, 0x3912b383, 0x6ad9e85b, 0x09fb296d, 0x987032ad,
+    0x93b554c6, 0x2b7794e6, 0x143a96fa, 0x41a77719, 0x8d25bea7, 0x42677fc7, 0xde6b16e5, 0x929b4164,
+    0x036b7456, 0xcc348bfe, 0x102b72ba, 0xa77bf8d6, 0x87b3c98f, 0xe11bd18d, 0xb36c156e, 0xb7627e0f,
+    0x20ef69a2, 0x845628d3, 0xb264ff42, 0x18bb7585, 0xdd57ad20, 0xaebf241f, 0x2bfdbaeb, 0x81fc1a95,
+    0xab971008, 0xcc24f641, 0x2e15ef42, 0x4846db18, 0x3bf857f0, 0xa6e334cd, 0xecc9b6cc, 0xed2c6342,
+    0xbc02b519, 0xf664d69c, 0x2442cc67, 0x88d387ff, 0x109fa9e9, 0x4601a6fd, 0x059294f4, 0xc7a0875b,
+    0x7f875ee4, 0x86d3742f, 0xa4dec415, 0x6f74045d, 0x1afc737d, 0x7ce7b338, 0xf77003f4, 0xb25345a7,
+    0x2efd325d, 0x21aad936, 0x4ae34338, 0xff9b0e31, 0x3208301d, 0x9578910a, 0xcdca1d2e, 0x7044604c,
+    0x9322d596, 0x280f50f2, 0x3d4fce21, 0xb3e7287d, 0x66295af7, 0x89fec83a, 0x6af056ca, 0x75992ad7,
+    0x6e67352d, 0x761fc4ec, 0x8a4c8a64, 0xe4d0d34f, 0x1710bb8b, 0xc9a5f54c, 0x1e6749ab, 0xcc806e14,
+    0x6a1186ed, 0x05183b58, 0xb0cc993d, 0x3f4175ba, 0x07d1c7a6, 0x862c9e1e, 0x010d07a9, 0x4b7caff0,
+    0x20883cbc, 0x385a36d4, 0x189f05b0, 0xcf78a453, 0xa66e3abc, 0xe0a1a2f5, 0x086ae69e, 0x6bba291f,
+    0xd34347e1, 0x9f3b8b97, 0xd52d638c, 0x7af90408, 0x66dae2ee, 0x8ea1d2d7, 0xd63dae53, 0x049bfe51,
+    0x19f6ea97, 0x78f14d4f, 0xf4b41adc, 0x6debbfb6, 0x9c5c1fc1, 0x9e211bc9, 0x22c167a2, 0x3cd25b97,
+    0xed8497d4, 0xd43471b1, 0xc9fea18f, 0xc12b8343, 0xaaed8942, 0x30656acf, 0x956e9a82, 0xce2ee297,
+    0x280f4dce, 0x4b97a80f, 0x3ba3e854, 0xbf891dc5, 0xb44dad5e, 0x6eb823ed, 0x556d00c3, 0xd76fcbcb,
+    0x8db5720e, 0x748ada1c, 0x67989d84, 0x5b2036a4, 0xe15eace4, 0xbaf8d704, 0xb0ff280d, 0x21ed4444,
+    0x122b7504, 0x48a889c4, 0x56076cdf, 0xd34ec4ae, 0x34c4622a, 0x4295a8a6, 0xaf574786, 0xc5f07297,
+    0xae44a6b5, 0xe312b04c, 0x7423f20a, 0x0794f285, 0xcb031f35, 0xc6f0c5be, 0xe3f68dd8, 0xd625363d,
+    0x44e2e501, 0x5e3c6fb3, 0x9e5bff5c, 0xa3584c13, 0x7d02f680, 0xec20509f, 0x6a46aa72, 0xa9a6dd82,
+    0x9782f57e, 0xd1bf1ccb, 0xac0fb9ca, 0xaa6474a2, 0xb7b4b2bb, 0x72e7d308, 0x2c5320f3, 0xaf322025,
+    0x9ecb43d3, 0xad8e27e2, 0x4849e4ee, 0x75dbb75d, 0x97079837, 0x30c400d8, 0xb25bf35c, 0x501970f2,
+    0x4b86c164, 0xa2a9f3dd, 0x1a279d09, 0xfcc13d1e, 0xeb1d38e4, 0x040bba0a, 0xa0292f02, 0x1fac8d9d,
+    0x6b425068, 0x8d70603b, 0x46f8a390, 0x29d6c6e8, 0xddd0f20e, 0xd5ba5bc7, 0xa371a2e8, 0xdd5c2492,
+    0xeefb81b2, 0x8dcd5b94, 0x09e1b7fe, 0x761a6431, 0x09d8afab, 0xfce62b7e, 0xf18ada1f, 0xb0a08703,
+    0xc5123331, 0xbfec7b44, 0x153563be, 0x2d4d86b0, 0x3e0d4cab, 0xa8ab5aaf, 0x9ae4e954, 0x083ee9f2,
+    0x7b5a48fd, 0x382b75f4, 0x62124962, 0x4554173a, 0x33fec9fa, 0xc1744095, 0x623647aa, 0x88b9cd39,
+    0x708c7b7d, 0xacfdb29e, 0x75bdd318, 0x3fe48b31, 0x692c846a, 0xb81d6485, 0x5bc26fc0, 0xb779a25a,
+    0x4cf0326a, 0xf2100fad, 0x3818c22d, 0x48b65eb5, 0xf708b2ec, 0x22884101, 0x5cf3f728, 0xb56caa05,
+    0xba4d6cf0, 0xd4d91b4c, 0x58adffd8, 0xef48c1b8, 0x576bb998, 0xce0ac754, 0x702c7197, 0x7b843865,
+    0x8f86e8db, 0xe63713b3, 0x2766a579, 0xf3cce800, 0x6753c71e, 0x2894f68e, 0xff1d77a1, 0xb50ffeaa,
+    0x43227e2a, 0x37ff20f0, 0x4be9a08e, 0x8b672e3f, 0xb1aadae2, 0xbb2c3153, 0x0e265f27, 0x32bfc57f,
+    0x42e6d7c1, 0x6d4a9e9f, 0xa606713e, 0x3f5612e6, 0x5a42ded9, 0x070f3d08, 0x5b0b55e9, 0xb37e3933,
+    0xfca2db98, 0x161f6c3d, 0x24c9ade8, 0x5249a4a0, 0xfcae244c, 0x9f5b7ad7, 0x4bc9c1a0, 0x8f142afa,
+    0xb70dffdf, 0x583cd55d, 0x17b912c0, 0xb999fd6f, 0xc1dc22e6, 0xb7ad2f05, 0x6575f127, 0xacbca220,
+    0x0b17dcc9, 0xcde3a0cb, 0xa5831d22, 0xd52eec74, 0xba5226f3, 0x33aef14b, 0x633ebdc0, 0x753a51bd,
+    0x9c751bd4, 0x229df452, 0x71f55bc4, 0xe711aaf7, 0x671c63db, 0x9aaadc2a, 0xe80bc0b7, 0x78c9a3cb,
+    0xc9fb25c3, 0x083addac, 0x0bc98e10, 0x3bfd2bc5, 0x27985467, 0x59383ce1, 0xebabdbdf, 0xb2ec2685,
+    0xab0912c7, 0xcd74488f, 0x3affe924, 0xf6acbba7, 0x4a7a00a9, 0x34815ccf, 0x53fc376e, 0x66f51156,
+    0xa96dcf0e, 0xf70a7cd1, 0xde005467, 0xdf73f9a1, 0xecb58797, 0x8386b5dd, 0x6712fb9d, 0xaee3b9cb,
+    0xcfe5487e, 0x7a6b8049, 0xba42069b, 0x382aee80, 0xef23c6b6, 0x7bfd434d, 0x4463a98a, 0xc26c24bb,
+    0x5355704b, 0xcb30e143, 0xf3e3185b, 0xab0149b7, 0x1690663d, 0x94fc036a, 0x6e7e25fa, 0xa2d2b166,
+    0xe89b05c6, 0x6b458292, 0x4e5c9c23, 0xa526fc50, 0x3c67d16a, 0x8200e90e, 0xcadc324a, 0x3fd2d8f3,
+    0x69abf27d, 0x8c255aa0, 0x557e18e5, 0xf69cfa07, 0x0f36ac68, 0x230e968d, 0x7a194e4b, 0x418028ac,
+    0x61c13343, 0x708de761, 0xa1e4a153, 0x655d58ab, 0x6dbbc4a0, 0xd5eca5b8, 0x7ca4cdfc, 0x8eda7b94,
+    0xed9d7c77, 0x7eebe06a, 0xa4f07f61, 0x8ddfa1a3, 0x40e107e4, 0xa085d8c9, 0x14f64397, 0xab6e62b0,
+    0x1f58a312, 0x6f5648e1, 0x0730f203, 0x9a349fa2, 0x6fd26bc3, 0x7f6c80da, 0x73cf6f8f, 0x9bc5b2f7,
+    0x13709835, 0x5c68ba7f, 0x02926254, 0x51dcf2bf, 0xd00c88be, 0x28d74978, 0xb13ea4a8, 0x752b0d8a,
+    0x193c6134, 0xbd499524, 0x58f7921b, 0xa629aeee, 0x3a81097a, 0x175f518c, 0x33948a0a, 0x9fd09505,
+    0x9bbd3464, 0x51fc8486, 0x9ef28c6e, 0x587d3363, 0xc21d5579, 0x8ebf246e, 0x36a66118, 0x941f8df2,
+    0x090ea167, 0xc7434725, 0xb1266793, 0xe58640ff, 0xe8b8b628, 0x13cd114d, 0x2f2df400, 0x9c0b14a9,
+    0x65d8f0ef, 0xb3a5f5d9, 0x6a2d5ec8, 0xaa8d083d, 0x1c0ee37f, 0x989384dc, 0xabd0238d, 0x76f5c2ef,
+    0xae3eae85, 0x8cefe601, 0x0bd8bedb, 0x2af81a3d, 0xb20f7916, 0x7cab47fb, 0x12adf7f3, 0xac192f17,
+    0x69de96c6, 0x7492f634, 0xbb2ae2bf, 0x8e14d915, 0x221fe7b4, 0x0e25e562, 0x3fd21714, 0xb26b686d,
+    0x8a00d918, 0x5980950e, 0x6dbf6117, 0x92a23ba2, 0xbc22277b, 0xe7f97014, 0x430b761e, 0x9326ced0,
+    0x9747ae2b, 0x764e07aa, 0x64d6aad6, 0xf34dc1f9, 0x0caa2247, 0x23287049, 0x29c4de2d, 0x1e23384e,
+    0xc8393c71, 0x8dcea2ec, 0x8cbe9ba1, 0xe02af6c8, 0xa4ea0119, 0xf738e556, 0x94b1e82d, 0x6e0537d5,
+    0x1da762f4, 0xa20afea0, 0xa36e693b, 0x7957d983, 0x21eccbc2, 0x08a5e624, 0x45c544d3, 0x44340fe5,
+    0x133d4c58, 0x1b43a4d5, 0x49cd3f28, 0x3e8afa2a, 0x55c75d96, 0x9834178f, 0x3ae0d6a0, 0xb8ed06a2,
+    0x8be4871c, 0xe057d64b, 0x0f6771a2, 0xced5abed, 0xa435a6ae, 0xd5d460fb, 0x459fcc12, 0xa6da4e0a,
+    0xbf270662, 0x79d0ede6, 0xcb96e68f, 0xebc25ba0, 0xfbca2c60, 0x88cb5417, 0x80eede3c, 0x39706b92,
+    0xe75358c4, 0x30197e61, 0x0cd35a7a, 0x3d17920b, 0x22d271c4, 0xd3f416ad, 0x016bd8c6, 0x5172e5d8,
+    0x57712a98, 0xce45a12d, 0x1522003f, 0x85353755, 0x7dabd19a, 0xa9e42ef6, 0x7927398e, 0x8fbfbe63,
+    0xe1b46192, 0x51cdcb32, 0x1df729bd, 0xeaa1a397, 0x4608cfd5, 0xa71f2c63, 0x58bea033, 0x1c5d294c,
+    0xd4f0c0b0, 0xfbe753a8, 0x2cb29447, 0x28388e31, 0xe90c64f3, 0x63a06b71, 0xf8176ff8, 0xb7c08775,
+    0x00000000,
+    0x8be66bbf, 0xfdf461e9, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4,
+    0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000019426688\
+                          92225729070919461906823518906642406839052139521251812409738904285205208498176 */
+  { 0x00000000,
+    0xc1500ee4, 0x54d6d482, 0x31b924b7, 0x22cdd8a7, 0x898ad130, 0xcbee7094, 0x807e07a0, 0xdd5ecc82,
+    0xb861457f, 0x1090945a, 0xd61ad0e0, 0x9219e876, 0xe58aae99, 0xd5f3f23d, 0xc0859117, 0xce04ac5b,
+    0x001c2174, 0x2218ec37, 0x4a120ada, 0x95da6d0d, 0x90ba0ee3, 0x97bcef4d, 0x0960571f, 0xb938fbb8,
+    0x3aaa2c53, 0x646c2842, 0x14ade73e, 0xba5247d9, 0x7ad70fae, 0x7bb8afe4, 0xa268bda2, 0x2b76efb9,
+    0xae91ae5f, 0x0cb7d31c, 0x3feb1567, 0x98f0c343, 0x384ab562, 0x1dbdb459, 0xf4c601d9, 0x4b58c550,
+    0x3f180696, 0x6321c39e, 0xee2b6ed6, 0x05bb74f6, 0x103e531e, 0xcba43a68, 0x99cfad7e, 0xfc1099a2,
+    0xb2c88651, 0xb530b8f3, 0x3297ef57, 0xaeb0b4ac, 0x17af8d4b, 0xfa8f3116, 0x662b787d, 0xe696ff5f,
+    0x3bdad7b4, 0x12b16d6f, 0xedfc2ff6, 0x3d76991c, 0x4f11ed7d, 0x073e5387, 0x732cd70c, 0x036aea49,
+    0x918f4030, 0x350f200c, 0x59d177a6, 0x97a6746c, 0x3df2ffe3, 0x5a7cdec2, 0xfe451058, 0xa62d68c8,
+    0xb45c435a, 0xb32c049d, 0x5c750350, 0xc8e66ee3, 0x72e8d1f8, 0xec4f6dc7, 0xee9962af, 0x7c9dbd0a,
+    0x47c538f5, 0xc53f3bd1, 0x8a30062d, 0xa1fc1751, 0xc2ab1f0e, 0x375ea5ef, 0xfc9e5a10, 0x75bda4ca,
+    0xa425027a, 0x66ba9b8b, 0x5335f33c, 0x0474db2e, 0xa69dff65, 0x10a79d25, 0xd2cce47a, 0x8d328aea,
+    0xe9fa4d79, 0x8698007b, 0x1fcdd6b6, 0x5206cd16, 0x4df05cb8, 0x4bd46bc9, 0x0080a1f5, 0xa72181c9,
+    0xeb5f25b4, 0xb98d29a6, 0x990ea130, 0xeb842d16, 0x88602a03, 0x6bf3de70, 0x7dc3f00e, 0x4212763b,
+    0xb8b3afae, 0x71389168, 0xbb30e95d, 0x50cf9680, 0x00d78a24, 0x1e723447, 0x7438fe8a, 0x6233ce7c,
+    0xb81f95a8, 0xeca9b78b, 0x6585d0cf, 0x16635327, 0x5c088fab, 0x26d252c5, 0x05b4ba97, 0x359c7ca3,
+    0x787e9946, 0xdc2c620a, 0xa3115a4d, 0x27d751f0, 0x5541102a, 0x672ca4c4, 0x6ac4d22d, 0x17b4fca4,
+    0x22fb9b61, 0xbce2a507, 0x091bc905, 0x5ae9b8e6, 0xe1856a79, 0x329130c2, 0xe0ad0c91, 0x6de2b56d,
+    0x5b653b0d, 0x15e03b65, 0x508d04c3, 0x54cca67d, 0x5d840ba4, 0x71023128, 0x9150a9ff, 0xf6c57b95,
+    0xf29b5fe5, 0x40fe1d6f, 0x4c28f553, 0xdc45c978, 0xa45bec6c, 0xd5875501, 0x094bed0b, 0x1163f743,
+    0x6ec2478f, 0x9db9c695, 0x03d37ad2, 0x2559848e, 0xd051cb93, 0xc1066ece, 0xe8ada7f9, 0x44ebbd38,
+    0x82283095, 0xe9098dea, 0xc96da0d4, 0xe996746b, 0xf13efdc5, 0x2bc98fb9, 0x6ec4c002, 0xd35d4770,
+    0xf50319c3, 0x01976906, 0xc2edfb19, 0x31cadd9e, 0x0a7f4b00, 0x0b231e42, 0x88f05fe0, 0x86ba6047,
+    0xf931fd70, 0x429c3a43, 0x2f5ff658, 0x91f3d15b, 0x2915f3f9, 0xa4e16c0b, 0x16643ebe, 0x812c802b,
+    0xe0a26e73, 0x35a0c7d5, 0x2eb7c8d0, 0x5e7c7ea3, 0xc945ac95, 0xf79a1829, 0x1d62a1ac, 0x4d4b01ed,
+    0xa32a3f95, 0x8ef64ab1, 0x4161b6cc, 0xdd3294d0, 0xd779072c, 0x54301bcb, 0x539ffe6d, 0x5fe7f304,
+    0x85230176, 0x69c8f8a0, 0x49826dc1, 0x68819dc7, 0x1a20b7e5, 0xdcdc53f4, 0x2d2f80c0, 0xa1965022,
+    0x9533cfbd, 0xfd67f9cc, 0x2fd13dd0, 0x9a7f7fb3, 0x24acf17a, 0x49a13210, 0x193ec970, 0x61d36e03,
+    0x48e1e3f4, 0x2fc7a462, 0xe42a3815, 0x39b66ce3, 0x37f5977d, 0x0e4bfba8, 0xb13b21b2, 0x644ac956,
+    0xc0c79398, 0x0761c5a4, 0xdd5c9729, 0xce318c6c, 0x518d43d8, 0xd250da99, 0x47ba120b, 0x87286dd2,
+    0x822ab6ac, 0xda66a175, 0x2b34461d, 0xcb1f8362, 0xf220af98, 0x2583a423, 0x6050bd5d, 0x2434798e,
+    0x1531110b, 0xa211685d, 0x3da9454c, 0xcc84118a, 0x88ec250c, 0xf71e1ad1, 0xa28f03ea, 0x133c77dc,
+    0x4939d63d, 0xdb555ceb, 0x6b248a36, 0x63fe9449, 0x15c5f2b2, 0x7b301a86, 0x0e7ef186, 0xe2a06eb9,
+    0xe817a598, 0x9fcc7ff9, 0xb1ce25d1, 0xf63b5842, 0x09c821d2, 0x3c242e62, 0xacee0cdf, 0x5be3e754,
+    0xac47de77, 0xced537e2, 0x2d51a844, 0x5d348a24, 0x576cf2f6, 0x3e86217b, 0x713a7456, 0xcdd22884,
+    0xeb81f53f, 0xfdd70643, 0xf21cfc5c, 0x7d51b4b9, 0xca330a1b, 0x684d7586, 0xb51f7bca, 0x8b7ae97b,
+    0x4da31611, 0xecbafcfb, 0x9dd1e419, 0x212988a6, 0x35d521f3, 0xee9a2992, 0xc28b9262, 0xa9362661,
+    0x66c8f3d4, 0xcd10f032, 0x3faf8315, 0x8335206b, 0x89a053fd, 0x7f56788f, 0x13d218d9, 0xc11f527b,
+    0x8743a3ed, 0x7268d4e7, 0x29536bfd, 0xb368480a, 0x41a86ffe, 0x1cfe14dd, 0xa363e65b, 0xf71cd4cf,
+    0x1c802123, 0x77d907d3, 0xd03dcd13, 0x3b1afe6a, 0xe1d5f86d, 0xf7703fe8, 0xbd7eca02, 0x3daf9921,
+    0xe6679eb2, 0xfe97f881, 0xf6200a20, 0xbc52b730, 0x4c482a93, 0xc6c0bc8b, 0x490f2beb, 0x538f0dde,
+    0xabe367ab, 0x2847d5e3, 0x6b4528e3, 0x0d2bf5dd, 0x09fba753, 0x764f1141, 0x2345fe43, 0x2ce1aa57,
+    0x4f0bdc7b, 0x16a7d1d9, 0x34e1639a, 0xe1e5ad88, 0xeb8ee86e, 0x6f5eee88, 0x79f9d726, 0x7c71185b,
+    0x803320c9, 0x221b5d2a, 0x4dae4b4c, 0xaa700736, 0x116479e0, 0x395da103, 0x0d7d5d0d, 0xc6b94eef,
+    0x8d91c55b, 0x766ba0a2, 0x907875b3, 0xf0da0e22, 0xc291438c, 0x43bdc376, 0x6371055a, 0x4eeda98d,
+    0xfa0fb138, 0x9d02eb38, 0x8b2a315d, 0xf00b3be6, 0x5be09e26, 0x761e1418, 0xb4dc422c, 0xe0dc744b,
+    0xcc04eaf2, 0x765a8314, 0xa2cb8bbd, 0xa2d7235b, 0x0e631710, 0xa26600e1, 0xb4f59a1b, 0xf27c2e09,
+    0x97c6dfc0, 0xa44134d4, 0xf8382b91, 0x1bb413b9, 0xf4cbecf5, 0x51130bce, 0xcec27d7a, 0xd5636994,
+    0x09160374, 0xbc16be3a, 0xaa71975b, 0x0ad5f4a5, 0x0828f2a6, 0x85de3ef1, 0x0c3b2d38, 0xb30bfb91,
+    0x74acfdd5, 0x2a494171, 0x21f3be09, 0x4b04eadd, 0x0318d83c, 0xac1d3bfd, 0x1ac1a165, 0xccba9c00,
+    0xf57e8141, 0x96c2b5ad, 0x0f298fc1, 0xae406470, 0xdcb58d10, 0x6e5685db, 0x160303d0, 0xe7d12218,
+    0x22a7f303, 0x30deb322, 0xbc12f09f, 0x83d5e768, 0x63fb5a2f, 0x830f6c76, 0x99b323e8, 0x424b0970,
+    0xf906c85d, 0x48cf0f07, 0xd8e7e8f0, 0xe865a345, 0x7a7b3bb6, 0x1bb69b02, 0xe290e831, 0x9b92f90d,
+    0x2e39656d, 0xedfd1156, 0x2149ba9a, 0x008bfd60, 0xe87941b5, 0x81661e30, 0xcf312f69, 0x0a39c664,
+    0x868a780a, 0x951938a7, 0x30fb8db4, 0x40dd849f, 0x456f7ebe, 0x5c9e71b8, 0x535ba3b5, 0x46bcffd9,
+    0x908c68f9, 0x06e7cd17, 0x81748007, 0xf43365a6, 0x9bae9025, 0xebd28bea, 0xbaf20593, 0xb8b3864e,
+    0xb3a2715d, 0x7819dfb0, 0xb931f25a, 0xc0ad78ee, 0x413c123d, 0x0ba2b967, 0x9c9a23db, 0xa053a43b,
+    0xf8314e05, 0x0f468a9d, 0x6eed7f50, 0xead2c898, 0x00c000a9, 0xb5ae71db, 0xa696ad08, 0x496866d3,
+    0x01758cb2, 0xcf3a79fb, 0xbb6d9945, 0x137ecf5b, 0xc377ae97, 0x3cfb2e21, 0x3abbe608, 0x74bab076,
+    0x48ed7e8a, 0xa0443767, 0x454a8ee3, 0xf5cfbc56, 0xf4ffaa61, 0xceaf9bb6, 0xdcd5d92e, 0xf7561fe6,
+    0xab1dcd62, 0x150c96bf, 0x04257acb, 0x34772bb1, 0x7a76cc19, 0x68fb66dd, 0x131b580c, 0x3a6f1456,
+    0x6f2acf24, 0x847c6606, 0xd801d78c, 0xeab4e511, 0x4771cf89, 0x305b29fc, 0x90bca391, 0x0e57b764,
+    0xf91cbb56, 0xf43123f0, 0xa0253cad, 0x0e8ce3e7, 0x0cec3a4a, 0x688e5b36, 0x818bd283, 0x270da8d8,
+    0x67c88a37, 0xf667f246, 0xdb775a4e, 0xbc0ce214, 0xfe4cacd5, 0xce4d1937, 0xfc358a5d, 0xac59b2ef,
+    0xc820e03f, 0x6ec21d06, 0x64b89b90, 0xe293c773, 0x7e8f23bd, 0xe47932bb, 0x61b88c40, 0x490e10cb,
+    0x447e044d, 0xd68997ed, 0xfc6109fa, 0x12a87e27, 0xbf2ed1ec, 0x73b1645e, 0xa6dfd484, 0x68415d7c,
+    0x1d54ff18, 0xc6e5f9e6, 0xb03c58c2, 0xc8497a37, 0x4994490f, 0xb785cf2b, 0xa45a4a94, 0x1c7f365b,
+    0xa6bf54b8, 0x325d7825, 0xb6d66624, 0x97121f0d, 0x857ae731, 0x038c80e8, 0xec848927, 0xbdd8dd40,
+    0xdc554ff5, 0x73b1c9e2, 0x67b08659, 0x25277cde, 0xf162d08b, 0x4465510e, 0x64b201f0, 0xcf612a7f,
+    0x40848b74, 0x38537d5a, 0xf4de46f4, 0xd7d4f476, 0x13373f64, 0xecad93e8, 0x1ba15ea8, 0xe6f7b4b3,
+    0x732ae6c7, 0x39e58908, 0x385e9cf7, 0x6e21d07d, 0xf65d3b1d, 0x2dbb9998, 0x18b123ac, 0x3631a031,
+    0x23a3ca24, 0x1d319469, 0x0046ab37, 0x55ad2a56, 0x83b1a6ff, 0xf3ef243b, 0xcf98841a, 0xde40a120,
+    0x7b59ad09, 0xc55acbc9, 0x4816dd1a, 0xc1cbad64, 0xc25df7e4, 0xc010a8b9, 0x4c81354b, 0x02886647,
+    0xb12c7b31, 0x5131a535, 0x6d559b70, 0x5ac1d48a, 0x425c819f, 0xf9f220a6, 0x371687f2, 0xc7a08cf3,
+    0x60333310, 0x7d6e85be, 0x200a1a0f, 0x98f8ef5d, 0x7b986761, 0x3a0bb105, 0x7cf3cb6f, 0x4a153aaf,
+    0x29597afd, 0x36890d54, 0x00c92f2b, 0x7ce08a5b, 0x3470e7a2, 0x2638004b, 0xe2808b86, 0xcdb633a3,
+    0x7f95e673, 0xb2490fd2, 0xbbb2f4c8, 0x4da8d0c7, 0x2b7aade0, 0xfbbba974, 0xe423a05e, 0x16a299ef,
+    0x33684cae, 0xc703c903, 0x08e80ba0, 0x4db5bf8c, 0xc9e51baa, 0x45eb6b12, 0x4ac3f597, 0xad610947,
+    0xcd7ab038, 0x2b1f300b, 0xc2c2e0f8, 0x2b7704e1, 0x553e1c84, 0x0ed31c68, 0x03216321, 0x4e4c1b31,
+    0xa5bfc19d, 0xa5a4a823, 0xbfcc61a8, 0x2cf01941, 0x76add6ed, 0xb7f89873, 0x545eccfd, 0xf839c427,
+    0xe1d9c5b1, 0xcd462ef3, 0x7fee4816, 0x2c579eb2, 0x0b6c3f4a, 0xb7c58522, 0xc5027092, 0x64f7a42e,
+    0x220ee0e6, 0xdea80d7b, 0x2051f704, 0xa7910726, 0xac3bd350, 0x4da5d0bf, 0x0d16ce33, 0xf247db9f,
+    0x794778ec, 0x6e0545f7, 0x648e26ed, 0x26ac1c06, 0x526e9a80, 0x1b82bc78, 0xece3401c, 0xbd3830d5,
+    0x8a2a6427, 0x6a7b5829, 0xe0d3fdb7, 0x6f0d27f4, 0xe11d6640, 0x7980baff, 0x65a3900b, 0xdca93b3e,
+    0x1efd03c7, 0x8fc5ea54, 0x2dc15e80, 0x1790cef8, 0xeb52157f, 0x6c8f9abc, 0x42fd01bb, 0xc62eb967,
+    0xa654fdd3, 0x1a947e53, 0xc6365613, 0x6d208b56, 0x00a3dabe, 0x9496b1d4, 0x0f130b43, 0xce09d8b9,
+    0x395f5cce, 0x1c88ec12, 0x376dc89a, 0xb64a9acc, 0x6fb07bf3, 0x3076c891, 0x599b7066, 0xfc635b34,
+    0xc73a7606, 0xf13eec35, 0x10ec3167, 0xff2ad484, 0xf0236fef, 0x9a967030, 0x8bcfd083, 0xb34d643e,
+    0xdd1478d3, 0xf7ae32ce, 0xdc990b77, 0x8a4d9b66, 0x18f78a5b, 0xe6a59d63, 0x7e9364e2, 0x7c0f5108,
+    0x58c0e25e, 0x3147a19c, 0x00faa913, 0x88ed49a8, 0xba34016c, 0xefbf0e42, 0xdcdda278, 0x005d43bb,
+    0x1ec684f0, 0x14846c39, 0xf295f94f, 0x9431658a, 0x1f498d64, 0xf2fdc4cf, 0x5efc0e83, 0xefc9c4dc,
+    0x89908d4a, 0x49cd23fa, 0x92a2ccd1, 0xc6f8051b, 0x67ee8423, 0xc6076529, 0x371bedb5, 0xa226d59f,
+    0xd0813b37, 0x8e6614f9, 0xac6a332e, 0xd2518a4e, 0xeda06923, 0x8270380a, 0x6bdb253f, 0xc7e00d63,
+    0xcebe192c, 0x014c7f26, 0x98d5e734, 0xf016ae57, 0xbd0b5909, 0xc53c7978, 0xc1293c1f, 0xd80aff31,
+    0x6cacf3ce, 0x36328e52, 0x55c7c9e9, 0x1d16957e, 0x5708efcc, 0x170054f2, 0x27e35bdf, 0x992950bf,
+    0xf2c49bc5, 0x692b8ad8, 0x91fcc05d, 0xc8f6bdb5, 0x175992ce, 0xd9c46f78, 0x3da7324d, 0x5a29cd4f,
+    0x449a891e, 0xf0a9490b, 0xf6c0a006, 0x84124606, 0x563d3a6b, 0xd0cca959, 0x652df3d9, 0x34fe4454,
+    0x4211bf9d, 0x46ffe070, 0xad9b1315, 0x6a7fc023, 0x3ec18d06, 0x16641fae, 0x71de0f12, 0x82c681e8,
+    0x31fe8396, 0x8252633e, 0x5a63dedf, 0xdee2293d, 0x70bc9e39, 0xb6c39521, 0xed4780af, 0x49ef0690,
+    0xe5bc574a, 0x64ad9fbf, 0x6892a0d7, 0x23818ad4, 0xb9e71ace, 0x775726ec, 0x3333fbd7, 0xb6998151,
+    0xf8279591, 0xc7b290a6, 0x4b58baa0, 0x96b7ef3a, 0x63904332, 0x020afbd1, 0x2059abce, 0xecec5c62,
+    0x4a7d3f08, 0x6ccf5522, 0xec85a5dc, 0x83e839a9, 0x0d209383, 0x1b79fc6f, 0xb5fa74bc, 0xb804ec3f,
+    0xa33d647c, 0xe368d06b, 0x89f23c92, 0x7c78871c, 0x0c2bcbe7, 0xe4259180, 0xc6050f93, 0x1eeb013f,
+    0x8af09b47, 0xf5237a3c, 0x72dd1fd6, 0xa0d127bc, 0x8a5c2530, 0x28471690, 0x7a38a397, 0xf3b68f07,
+    0xcfb33da8, 0x0056e534, 0xc2be9bc7, 0x2a70b3c1, 0x2a44530b, 0xcacb7084, 0x56ee2305, 0xbce0e28b,
+    0xc9b0d23c, 0x640f187d, 0x22799cbe, 0x7f4639a5, 0x40c735e1, 0xac88a4f7, 0x72dce377, 0xfc5a93b9,
+    0x27718661, 0x7ed9e3d1, 0x20828029, 0xcfd30560, 0x05221b65, 0xab3c8c01, 0xa34e153b, 0xf124fda0,
+    0xd95c5b3a, 0x349c10ac, 0xa1bbca7c, 0x45051074, 0x7cfec30b, 0x67fac6e0, 0x292bd09e, 0x58b24190,
+    0x3017611f, 0x6c926034, 0x5f2503c7, 0x6f428b5f, 0x622cd9fc, 0xef4f1da7, 0xe457591a, 0x2ee10f86,
+    0x853ff1bc, 0x4d33e232, 0x7773197f, 0x0f16d17c, 0x18145b21, 0x1dd214a7, 0x63d0189f, 0x04f25341,
+    0x7d3c32c2, 0x4e4342cb, 0x078cf7d9, 0x800609fd, 0x880f04f9, 0x13590307, 0xaa9f469c, 0xf1464784,
+    0x0f812f45, 0x2c2b198a, 0x71014a40, 0x9d64298e, 0xd8661993, 0xf67530b5, 0x39e480bb, 0xa2ecf0fd,
+    0x1ac4cb68, 0xae78ddc3, 0x46c01604, 0x50f0e8b6, 0x1eadbf3e, 0x74a34ce7, 0xb1f0202d, 0xa6c6746b,
+    0x5d9b9f09, 0x56a4e39a, 0x1fe9d7be, 0x9644778d, 0x5a0d2848, 0x8473b955, 0x6d573eb6, 0xc7214fd6,
+    0xfebcf8ad, 0xea58c62c, 0x4a9ec663, 0x941b7df5, 0x916b3d7e, 0x77cbf203, 0xe0a5be0b, 0xa8f1e082,
+    0xffd79dc8, 0x73b956fe, 0x114e6798, 0xebfce6e2, 0x0ceb568a, 0xcf11dd79, 0xc81f833c, 0xa4413e77,
+    0x680ebbad, 0xc930ad9c, 0xaa822d20, 0x822e1eae, 0xeb5cface, 0xd9b40ab0, 0xa530de11, 0xfd91c680,
+    0xe855bb96, 0xe2b037c6, 0x16d46793, 0xa740788f, 0x7ecd27da, 0xd086c3d5, 0x1d21a9df, 0xf42a76e7,
+    0x6504a8ca, 0x353ea1aa, 0x2649d944, 0xe7736ce0, 0xb9fe4940, 0x6924111e, 0x2088f658, 0x4f920c16,
+    0xc0821fb3, 0x817aa508, 0xc4bf6b87, 0x492508a6, 0x0a515fe6, 0xa631b228, 0x30f0295c, 0x86322c6f,
+    0x979396fd, 0x882942c3, 0x8e1e10d5, 0x25b65d53, 0x8379e2e6, 0xbd5a7c91, 0xeab496e9, 0x2948e350,
+    0x1361de33, 0xbd530758, 0x9eccb02a, 0x4534889c, 0x3d5e9fa5, 0x00df8870, 0xd1931533, 0xbfaba50e,
+    0x3729d50f, 0x1326c535, 0xeaac91d5, 0x19542bb1, 0x44f5a0cd, 0x33ea462b, 0x3b71cfa6, 0x4db07153,
+    0x45e91d69, 0xd74a7e3a, 0x0a982d06, 0x03a07e16, 0xa95a0539, 0x66eac631, 0xb2d79665, 0x207fc485,
+    0xaac3afc5, 0x0c37e39b, 0x3b35c675, 0x47a2fbeb, 0xf57424da, 0x19d836fd, 0xb178a314, 0x298fcec8,
+    0x2a2e59e7, 0x2f1579d2, 0xc50e2c4b, 0x74b55c1b, 0x01f0e766, 0x8e7c4559, 0x003c87cd, 0x995cf947,
+    0x00000000,
+    0xc5f335df, 0xfefa30f4, 0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea,
+    0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000009713344\
+                          46112864535459730953411759453321203419526069760625906204869452142602604249088 */
+  { 0x00000000,
+    0xbc483d6e, 0xc6bb9489, 0x794f5a94, 0xf20afa71, 0x4bbf2f99, 0x52a12a11, 0xe7d3dd12, 0xea6d1830,
+    0x8776ccc8, 0x5813bd89, 0xaa070475, 0x52f35849, 0x4e079896, 0x917cb896, 0xd47371bd, 0x491b3e18,
+    0xa9466e58, 0x36c02c43, 0x205dfb62, 0xc85d01e5, 0x51f99838, 0x499c206b, 0x90c4a563, 0x57e24b7e,
+    0xb01a1c6c, 0x08cbf0ba, 0xa100cde4, 0xa78504c4, 0xc4b8d56c, 0x0469d79d, 0xc0668a65, 0xbdea5736,
+    0xde66ac92, 0x6ac8cd63, 0xea34c89e, 0x6e564822, 0x3a391d65, 0x507d2d7d, 0x82c52f02, 0xb601a413,
+    0x74e34fbf, 0x1449da2e, 0x50dac44f, 0xe4cbf606, 0x26ecb3d4, 0x8999d2d1, 0xe67525c5, 0xc4efb76f,
+    0x675ea9fb, 0x925f8409, 0x83a10aa6, 0xcb91e19a, 0xa5288122, 0xf7e1cfcc, 0xef88682d, 0x83389eb9,
+    0x7f814297, 0xafc20c6d, 0xdbb7520b, 0x9a147c7c, 0xfdc04a70, 0xef0c4a55, 0x8ef67d1d, 0xc781ddfa,
+    0x6066251d, 0xd9226a4c, 0xd11cc824, 0xaf782fe4, 0xf6acf1c0, 0x108d4eaf, 0xc2fa5b8c, 0x941acd0d,
+    0xde3e530b, 0x9a975bc4, 0x92bb1970, 0x4cfa3169, 0x48e67608, 0x02d2bf85, 0x21c39ec7, 0x01b7dc1a,
+    0x2dfad7ed, 0x6a8a8258, 0x738a6e00, 0x303e3554, 0x7824d6fd, 0x8c0fa342, 0xaeecf0e0, 0x18d5b6f6,
+    0xe83e7a04, 0xc8971cfa, 0x8f84cf12, 0x8d7bd6c0, 0x10db74d5, 0xfaa1f6c2, 0xc41f3c33, 0x22bf7255,
+    0x6ddab07b, 0xc9aac513, 0xb3c6cc35, 0x344cdcd3, 0x8916af26, 0xdedcafd8, 0x84f4dc51, 0x6a928e6a,
+    0xa251b314, 0x82d83e6e, 0x75753d23, 0x40045d0a, 0x10606278, 0x292a32eb, 0x0d482cb6, 0x8987ee3c,
+    0x84aba56a, 0x6a5f86dc, 0xfdd25163, 0x5fb8073e, 0x1e51efc0, 0x6cf1a9e8, 0x17d69c28, 0x73f042e1,
+    0xc427dcc5, 0x80475010, 0x1a9037dc, 0xa3b034fe, 0x25221a1e, 0xe8448d7d, 0xb46408dd, 0x0dd79270,
+    0x3bad939b, 0x741d6d88, 0x66e94bba, 0x536d2efb, 0x1317ec81, 0x8af53027, 0x515a333d, 0x5a5928ab,
+    0xe64d4ea9, 0xf2df387e, 0x02def25b, 0xe8f62fe7, 0x601fdaac, 0x52693945, 0xc8268652, 0xc3e50eab,
+    0xe9c0e258, 0xcaa0983d, 0x74919888, 0x22038fd6, 0xf4be6561, 0xa147e9d1, 0xc21c1589, 0x1ea6ff71,
+    0x9aabe6fa, 0xbf6ebb30, 0x3664c1e4, 0x463996e5, 0x8d56bf58, 0x32d0467b, 0xc7cf6bf6, 0x7c538b8f,
+    0x82530a0f, 0xe0fba359, 0xd6c2503a, 0x43348f13, 0xdb5ebeee, 0x560b2446, 0x4d97a5a5, 0xa6f4a041,
+    0x84ee307a, 0x75c9e4d5, 0xd073ca2f, 0x45a7e571, 0xca0b505d, 0xe958dae1, 0xf8c8d85b, 0x02dca03d,
+    0x7cff43c1, 0xb8db6412, 0x178cff46, 0xce362fcb, 0x5aace540, 0xb3338b91, 0x1ea0460f, 0x509291f3,
+    0xfd4617be, 0x1afeedc4, 0xfcfde937, 0x213c9428, 0x8a70f8b3, 0xfdcd087b, 0x625072b5, 0x0a1b51e9,
+    0xdc64d4a6, 0x1cef63a4, 0xc1a594a3, 0xb2795cef, 0xe02d2cf4, 0x6d736015, 0xb8aa5bfc, 0xa8191d26,
+    0xda9501bf, 0xc5556dac, 0xf32a2219, 0xa7fa7663, 0xfab864f8, 0x1cd84744, 0xf2ee69dd, 0x4ba3f55e,
+    0x5c0c9b31, 0xa4b1544b, 0xcc966b0a, 0x3cc2c23c, 0x0b84e897, 0xe0cc0413, 0x131ff9aa, 0x05bcfec0,
+    0x46cde33e, 0x8b5613dc, 0x07890aa3, 0xa10494b1, 0x150a2fcf, 0xc34593f0, 0x9f179020, 0xb506a427,
+    0x032117df, 0x57a97341, 0x7e456dc4, 0x40419752, 0x1f1ddb37, 0x35108afa, 0x478be650, 0xb7d29d35,
+    0xf1527f5a, 0x14379035, 0x394d3828, 0xcfba7c6a, 0xfb8a4ac8, 0x51c1ef2f, 0x748483c5, 0xd1fd449d,
+    0xfc61f83e, 0xa664d362, 0x07aae0ce, 0x2b083f08, 0x66c783ac, 0x475fd4e1, 0x52b424de, 0x230c7bce,
+    0x59df84d2, 0x18814d87, 0xed93a8de, 0xc6afeebb, 0x27769588, 0x1ca969c9, 0xa8f71b64, 0xd655ca29,
+    0xaa44727b, 0x1c3301eb, 0x9c318cfb, 0xc1f7f1bf, 0xdbbd24f4, 0xdf8eee6a, 0x08bb83b0, 0xf4ea3c13,
+    0xe37a1b5e, 0x5360f789, 0xb0887a0a, 0x137eb46d, 0xce389a53, 0xdf172ed7, 0xdb7f70a2, 0x0b9d6037,
+    0xd6106a8d, 0xee76646c, 0xc23d7c5a, 0x1630b5fe, 0xcab881dd, 0x428c87f0, 0x79f65409, 0x303524d2,
+    0xff151c5b, 0x189f85d4, 0x964ac589, 0x10e67dd6, 0x23028cac, 0xfd0ee40d, 0x8b3ea7f5, 0xf3d77b41,
+    0x4de2dde7, 0xc3d7f7d3, 0xb23547ca, 0x7167b48f, 0x2406e7c0, 0xa3c2feeb, 0xb50b979a, 0xba925dfe,
+    0xa73794ce, 0xda6e605a, 0x54e49af8, 0x983117d2, 0xe1c829c5, 0x9c7c7434, 0x7f5362e2, 0x662d5d19,
+    0xe47986d4, 0x05663cb7, 0xb3e8900f, 0xb401d5b4, 0x899846e5, 0x90539ceb, 0x39c4a6eb, 0xf8a3a418,
+    0xf76569fe, 0x9562a1da, 0x98a7a590, 0x6f20e9d4, 0xdda9bd04, 0x7d9d5321, 0xc64e04d7, 0x4330ed19,
+    0x3668c1b8, 0x67dc83d2, 0x196209c6, 0x01c7f46c, 0x4584f375, 0x1521128d, 0xf06b51ba, 0x093862da,
+    0xdd9760d7, 0xb1429d22, 0xcc0f3e96, 0x433880eb, 0x2da1b330, 0x866ff430, 0xadb785c4, 0x0a7b90ec,
+    0x9d064e75, 0xa59880c3, 0xbf69e80b, 0x4a5fc4a0, 0xc525ae2a, 0x5e9c4a3e, 0x4819fb0a, 0x03bd9648,
+    0xae6b944a, 0x507441e6, 0xcc378dc7, 0x98ec7b3c, 0x5e63a031, 0x4e5a6338, 0x4b6233bc, 0xf94c689d,
+    0xbe2a5382, 0xeaef58f2, 0x0a96e9d2, 0xe688e706, 0x6c57a64c, 0x72b99ee6, 0x683edf13, 0x6a9062cd,
+    0xb9ac7de0, 0x21e2b8bf, 0xfb563391, 0x78b4c85d, 0xbfca5045, 0x2c949060, 0x9b35d3fc, 0xa5a70587,
+    0x842f0390, 0x416ead38, 0xaf051a03, 0xa33b5550, 0x6b0b26cd, 0x9c790812, 0xa52ca2a8, 0xca40dc64,
+    0xbfa3a4e7, 0xbfb1e95e, 0x80c419fe, 0x1d2d4543, 0x9ae892de, 0x81b7527c, 0xf434c969, 0x8c3b76f3,
+    0x17a82df9, 0xa25e5f67, 0x458f9b2d, 0xe77169fb, 0x8c0a3226, 0x08a3cfe8, 0x4293a19e, 0x5361ecd5,
+    0xb97c10e0, 0xff3ba6dc, 0x1f070bd1, 0x00eb122d, 0x527d37b3, 0x0a0af9e4, 0xca3430a3, 0x2d285838,
+    0xb710a312, 0x1bc83d07, 0x2fd60d26, 0x4e43f3b9, 0x88dd0a2c, 0x9f58ed33, 0x210f88ac, 0x6c996dc5,
+    0x46847c81, 0xbfbee500, 0xb10ad581, 0x4041afea, 0xd7ae1c2e, 0x7ea8bbaa, 0x7c35f442, 0xd2b59c89,
+    0xe0abc50a, 0xc828403f, 0x3e9d9f48, 0x546f6b59, 0x49db093d, 0x20fff7a6, 0xe7365367, 0xa106b9a0,
+    0x6b6cba38, 0x74c34780, 0xa4a7cf3a, 0x7c27356d, 0x57a36f79, 0xfc5aec3a, 0xe263d490, 0x49ead1b8,
+    0x5d1591fb, 0x1a51e00d, 0x0b7d5db6, 0x1511d0d1, 0x011ab780, 0xa6c9eab7, 0x6df791ec, 0x39aaa0b4,
+    0x8c09d2e7, 0xe5996262, 0xa3e7b146, 0x1bcaf2ed, 0x7c12603a, 0x94f7646a, 0xf7416e59, 0x44f2b581,
+    0x938fade0, 0xe3e414e2, 0xc8bf6420, 0x8343c5da, 0x0d804d20, 0x4ab5bfc1, 0x5e9d897e, 0x3ffbda17,
+    0xd4871542, 0xd7f5cbda, 0xa7fc1136, 0x706ed68a, 0x85187f16, 0xb74a4f59, 0xbe5238f0, 0x7a437207,
+    0x30eb740b, 0x6542e678, 0xb8320cf6, 0x4c336b7e, 0x3e682eba, 0xa707764f, 0x469b1397, 0x3e011904,
+    0xf65e7e57, 0xec118d2b, 0x81eb1384, 0x07971484, 0x127e8b19, 0xd37084c1, 0x57071710, 0x62a6816a,
+    0x3bad6d5e, 0xa35813b8, 0x8e1fa666, 0x76708a70, 0x669137b2, 0xc6f54dc6, 0xf2a047fa, 0x2a008c5d,
+    0x24fdfbfc, 0xd6c57a59, 0x6fe477d3, 0x54f99f43, 0x17ed8948, 0x8854dd73, 0xcfdf2588, 0xdcd712b8,
+    0x2cbf3455, 0xfd5fd00b, 0x1cd74148, 0x45864d42, 0x7e742ef2, 0x7b66c393, 0xffc820e0, 0x513d9906,
+    0x85d8bcd1, 0x8c58fa0a, 0xdc4356e2, 0x9ba8a487, 0x78cc5f41, 0x634d013d, 0xaa802561, 0x22ab0000,
+    0x4a2b3838, 0xd2ce5eb0, 0xfc7dcbc5, 0x4967086e, 0x7cb8eefa, 0x74701c76, 0xac8eee38, 0xba624af0,
+    0x015f33cd, 0xf7793e36, 0x951061a3, 0xc6c693df, 0x13fa5fa9, 0xb08c5fe8, 0xc4310dfe, 0xb38add70,
+    0x95b54928, 0x3aadff05, 0x3a6cb70f, 0x11b439bc, 0xc279acde, 0x9a191803, 0xff24a692, 0x95f50e7e,
+    0x78f40773, 0x6a54653a, 0xf669a595, 0x49638921, 0xfc1ce933, 0x48ae6728, 0x0ae14617, 0xc198d8ef,
+    0x36da12a4, 0x49cd8497, 0x6083b790, 0xf2f5284e, 0x10e5d722, 0x915b520c, 0x1b1b1bbb, 0x9c36148c,
+    0xd63a079b, 0x500440b1, 0x9ee1f101, 0x4c5ac6c5, 0xcc287591, 0x55b898f8, 0x9f75a76b, 0xf00de883,
+    0x68853b65, 0x05e23892, 0x65eed2e8, 0xe21edc9b, 0xc773b957, 0x71ccbe1c, 0xfd5ce34e, 0x50331204,
+    0xb4762f6c, 0x68bc8650, 0xeeea0177, 0xd3bb1c7e, 0x79fd0642, 0x8198ffc5, 0x93d04932, 0xb985fba4,
+    0x275a8a1b, 0xdbea24e0, 0x9ea8cd0c, 0xd2e7bb36, 0xde8bc117, 0xc07f7711, 0x44e42a82, 0x1a656748,
+    0x92bfef9b, 0xbe64bf8b, 0x33a9f1c0, 0x8e0893c0, 0x9ccd6c27, 0x8c525816, 0x17fca8b9, 0x188d8d33,
+    0x7c1401dc, 0xe96da1a3, 0x6114dc20, 0x98deb47b, 0x516426ab, 0x21cb5aea, 0xee92a86d, 0x7efe4c94,
+    0xe2d79d52, 0x8a7a78b4, 0x4b9ad74b, 0x16fae5a6, 0x9ea2cfa4, 0xc1db7b66, 0x43cbd920, 0x4254fa52,
+    0x8ea5a502, 0xff29404e, 0xa6e8baa1, 0x2c661526, 0xcda458f0, 0xdaac408a, 0xa9cbeb11, 0x859c26cd,
+    0xc9c0070f, 0xf765a276, 0xfe5890c2, 0x1f81b80c, 0xbfad04c2, 0xccb9fbaa, 0x5a9c6b70, 0x72822931,
+    0xd70af491, 0x6c530b64, 0x3dab9144, 0x3195eef6, 0x66e114ce, 0x947529b4, 0xdcc2d59d, 0xb9ee1c16,
+    0x24490378, 0x34ab740f, 0x4dfbe519, 0x1bc2fd38, 0x3850a33f, 0x5be8b4a0, 0x86c9ed5f, 0xdf9376b3,
+    0xd2f64b29, 0xe3ce4530, 0x065e06fc, 0x89013bfe, 0x9b1106f2, 0x10cb87c9, 0x62da6b70, 0x55eb45b7,
+    0x9775617a, 0x9378a85c, 0xf7671eec, 0x55180b90, 0xa52fc211, 0x024885c9, 0x1ad85b97, 0xc7eb999c,
+    0xd038f4d0, 0x5d82dfd7, 0xa3f188d8, 0xb22a9828, 0x9d6f4d6a, 0x9382b105, 0x5bd0949c, 0xed5f034a,
+    0x9760f1ce, 0x4fcbbaae, 0x0837ac3c, 0xdab1884c, 0xde840e97, 0x15bf089e, 0x4169f707, 0x9e08a041,
+    0x16c34050, 0x1830fa74, 0x9f58ab28, 0x6a3f24e5, 0xced531a6, 0x7e4a704b, 0x59810729, 0xbfd6368e,
+    0x119a3b19, 0xc65dbc35, 0x869805de, 0x7844ec95, 0xc4a7b012, 0x24f5d30e, 0x71cc4103, 0xe24ba241,
+    0xf1aaf8d0, 0x89ff668b, 0xb085972c, 0xd00cd3fb, 0x973a2fe8, 0xd349e963, 0x92b91f0d, 0x5d5d5a70,
+    0xba5e5b33, 0x203b5cd6, 0x3dd7b3cd, 0x179241b8, 0x31967770, 0xb215beb6, 0x378e56b5, 0xc5828465,
+    0xa89173e0, 0x90b7deaf, 0x5b6cf8c9, 0x445649d6, 0x1a96274c, 0x59aee69f, 0xdc56660c, 0x0cf9e851,
+    0xefad5bc0, 0x1782e8ae, 0xf1138f21, 0xa57b2e29, 0xa867eeec, 0x4cc8cd16, 0xb090d060, 0x9071dc36,
+    0xe7afef8a, 0xb7989bde, 0x1dcf4165, 0x592679a5, 0xab076345, 0xa522f205, 0x8172bf7e, 0x997d0956,
+    0xb6d1ec4a, 0x59cfb898, 0xbaa3395d, 0xd38c93a4, 0x993b65e9, 0xc54aa1cd, 0x88bac844, 0xee58bad7,
+    0xe1a28cb1, 0x5ff95ad7, 0x1a138dfa, 0x9278cdfd, 0x536caf55, 0xfc1f9320, 0x51ce6ef9, 0x4698bf09,
+    0xc75b3f2b, 0xf8c33c18, 0x0a8c3f69, 0xb3304aee, 0xe481699b, 0xaba04ffa, 0x40415768, 0xf9223bce,
+    0x9cfc1e18, 0x9bc959e4, 0x71b366e1, 0x83ae9be4, 0xe95bbf54, 0x3cfd2ced, 0xff0f347b, 0x1d2daa2a,
+    0x7d3feec0, 0x8997c95c, 0xa41ce6a9, 0x3f030589, 0xb204c4c7, 0xcc3c6482, 0x244fc868, 0xebfa85df,
+    0xd0cfd030, 0x91b3a9d6, 0xe609d4df, 0xe06b8a80, 0x56b40bef, 0xb50f9152, 0x04896a41, 0xd5b0a7c9,
+    0x236e1376, 0xf8f95e64, 0xdb13b8ad, 0x6adc693f, 0xb8b43d4f, 0xaa3a376d, 0xe2c2daa1, 0x50c3f6b5,
+    0x109fec9f, 0x8cae3bde, 0xa8477096, 0xcd53a9f5, 0x85c2e3e6, 0x8e99b022, 0x73765240, 0x0319d3f2,
+    0xaa0c5fdd, 0x3d8a7515, 0x130d989e, 0xb1621c1c, 0xd6a7278e, 0x1236cfe9, 0x470b93b3, 0x2bb88f37,
+    0x426a8ccd, 0x3bf36ea5, 0xd0856dbf, 0x0a2750b6, 0x716bf602, 0xccd443d0, 0xd7c4b326, 0x949f508a,
+    0x1f2ab78d, 0x6883c00c, 0x4430525c, 0xbb804770, 0x156957fd, 0xda9beea5, 0x2120e976, 0xde7194bb,
+    0x39d16341, 0x9b86eff9, 0x004dd375, 0xf691fe94, 0xca41caeb, 0x0f8f1915, 0x630a5bb9, 0x15e1dd7e,
+    0xc10f1b46, 0x375f4145, 0xdb123253, 0x432d5010, 0xc8fe910c, 0x0daff073, 0x43dce099, 0x4faa213a,
+    0x2a2e4a1e, 0xaa2745f0, 0xfde9c5ed, 0x5d3ad846, 0x5737157d, 0x0f929216, 0x0730cb38, 0xd0075b58,
+    0x12f1b3ea, 0x38570863, 0x69b95087, 0xfe43be5a, 0x86377934, 0x2a3f276c, 0x103d7dd4, 0x9b9c303a,
+    0xd4acf548, 0x42f1a5c0, 0x994856ed, 0xe40ffd4a, 0xc6a1326d, 0x92251142, 0x94d4cb5d, 0x1e525bae,
+    0xa947e770, 0x84f9f36c, 0xc38090f4, 0xc6f83a7a, 0x5f7a8eaf, 0x4c6b8bb1, 0xdda6bb97, 0x9bfb54c0,
+    0x203368cb, 0x4380724b, 0xe106a690, 0x27ca6e4a, 0xcf06c5ef, 0xba4c3d6b, 0x443134a8, 0xb3312d96,
+    0x276e42ea, 0x82031d5c, 0x9abcd91d, 0x15a213fa, 0x874a197f, 0x2fd1e25f, 0x38cefe3e, 0xb232b8a0,
+    0x4012399a, 0x9a8e6418, 0x4319be00, 0x0fb88c33, 0x03b1ce3f, 0x2a584e86, 0x7539812f, 0xc9fa0ad7,
+    0x8e1f11b7, 0xf85dfe3f, 0x593f2b6e, 0x83c02abe, 0x5e1579df, 0xc0fe56e1, 0x5fdb476a, 0x7444a44d,
+    0xd8ed864e, 0x04cbd888, 0xf0b2cc87, 0xefdfc93c, 0x3edbe0f8, 0x8305e760, 0x7a504b8b, 0x7b247c53,
+    0xa241418a, 0x04eaf734, 0x2af3a800, 0x4e236685, 0x2cdabcd2, 0x77cb8909, 0x51fd71da, 0x50c15b0c,
+    0xed895128, 0x0cee99e5, 0x71685ad2, 0x899eab7b, 0xd367837c, 0x51bce405, 0xb2cb55d8, 0xb3e773bf,
+    0xb9c06899, 0x11770895, 0xa94ee9d5, 0x3d141397, 0x691c4c21, 0xb3668ee0, 0x10c54c31, 0x4625d150,
+    0xc4afd847, 0xad71854e, 0x8e6219ac, 0xe54901f8, 0x894b5390, 0x9e9b06fd, 0x3fd806be, 0x0324f3aa,
+    0xc63e353a, 0x213050b8, 0xd2a7030e, 0xf8d29344, 0xc94311e7, 0xab1e843f, 0x3492098f, 0xc072e433,
+    0xe2eebb55, 0xe4578ffc, 0xf349213b, 0x68326778, 0x10b6907e, 0xe77f2b99, 0xe9a1f7d0, 0x824586df,
+    0x75fa99e0, 0x17d5b413, 0x36b7c6eb, 0x5cc51865, 0x74a58936, 0x94cdb08e, 0x5515b052, 0x01933671,
+    0x6c436e38, 0x33ed94a5, 0xc9c8c455, 0x13d19f9a, 0xfda90432, 0xb98ebe53, 0x06869dba, 0x1e0bc3be,
+    0xafdc8f60, 0xd342472c, 0xe677535a, 0x40876787, 0x45cb8979, 0x08ec9a02, 0x82ca5a49, 0xf480dbe8,
+    0xcbf0407f, 0xfa745d7e, 0x8d11fe40, 0x5f000646, 0x674319d6, 0x2e2e8406, 0x4dd700c3, 0xfd39c2d6,
+    0xf085fa4a, 0xdfdd7e57, 0xd832d585, 0x7ba8d49e, 0xb9bdaecd, 0xe5630c9d, 0x6b44d47b, 0xa3fbe429,
+    0x4ddf1a3e, 0x40845153, 0x2a29a21d, 0xad9587d7, 0x94b40477, 0x61d74889, 0x03f4dce6, 0x9f04ec88,
+    0x1042f686, 0x757e0141, 0x8e352c3f, 0x17f92e64, 0xa8b50406, 0x11de4f45, 0xa1e525c9, 0x8c1bdce5,
+    0x00000000,
+    0x62f99aef, 0x7f7d187a, 0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475,
+    0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000004856672\
+                          23056432267729865476705879726660601709763034880312953102434726071301302124544 */
+  { 0x00000000,
+    0x63b4dc4f, 0xcc36cbc3, 0xe510ada5, 0xe3d75dc4, 0x9ae4d48e, 0xdce4fe12, 0x63cb3e37, 0xfaf1eb1c,
+    0x64b1c070, 0x5a08c9b7, 0xcb5d7860, 0x73acb3ec, 0x4a7ab44f, 0xadbb52d5, 0x70438f17, 0x88f30d18,
+    0xb655abbf, 0xb192edb3, 0x1aff56eb, 0xbbe6ab1d, 0xc69f304a, 0x8f622f43, 0x0e9c1340, 0x8be2aa4f,
+    0x35ed34a6, 0xf1e3f317, 0xf0fee74e, 0x203d2c78, 0xa7c72752, 0x9f25d090, 0xc4704463, 0xbdc2b773,
+    0x5aefb99e, 0x5dcb20c5, 0x0908e8db, 0x7b9111d2, 0xa3a9528c, 0x09122fa2, 0x8e4aa24e, 0xa1357ee8,
+    0xffa74c6f, 0x594a4030, 0x7db78789, 0xe7570a53, 0xdd61570f, 0x3d6230b6, 0x88cf878a, 0xe5c39da9,
+    0xa568614a, 0xfe4a4e36, 0x38bea02b, 0x9539e3c6, 0xa8e51ef0, 0x2067db1c, 0x262af8b2, 0x528ffc91,
+    0xeb56f179, 0xa7c5aaf2, 0xce74b678, 0x07c3d9f6, 0x739a4e8b, 0xa970491a, 0x2a357d17, 0x18e75cd5,
+    0x16cb16b1, 0x27ba52e7, 0x47189cc8, 0x4de14996, 0x0a82a034, 0xa0727f27, 0x26e4878c, 0xd9b2330a,
+    0x3c7f5fed, 0xb8d48ac2, 0xbebfb6c9, 0x15c448f7, 0x77613b4d, 0xc6919a8d, 0x711d97e7, 0x5a205053,
+    0xb6a84701, 0x928428bf, 0x2f7b2fa3, 0x490a3428, 0x17b38999, 0x79413681, 0x9f36008d, 0xc29a6f93,
+    0xda3f6d61, 0xbc826b52, 0x5cd43dc9, 0x93971392, 0x7a46c163, 0x08b487c5, 0xd2dbc672, 0x6cb9c717,
+    0xbde989b4, 0xd2a95ee9, 0xafece0a9, 0x0de7873e, 0x33da6cb9, 0xd3577956, 0x5776638e, 0x05fb8511,
+    0x4a53dfc4, 0xd4c3df27, 0xa2ed1ddd, 0xfd6f8c97, 0xac71d548, 0xe3fda901, 0xb6d0e024, 0xab58bd3f,
+    0xbcc32760, 0x6b7e5a6b, 0x1ddb9683, 0xed500558, 0x18ddf845, 0x355ff289, 0x17474ee9, 0x99417a3f,
+    0x6cca8321, 0xb2b923de, 0x3b40e986, 0x2324e5e1, 0xd3316ad0, 0xd3f2f422, 0x11ab56f1, 0x81db9ccf,
+    0x665a469b, 0x89861b28, 0xd0640836, 0xeec6396a, 0xac93e79f, 0x9118f3a8, 0x27da855c, 0xdc024b3e,
+    0x94e5b9b9, 0x055ab89b, 0xd7bdac5b, 0xe415a074, 0xee4974d9, 0x2d11da60, 0xe14cd6aa, 0x1209cf2d,
+    0xe95d4d97, 0x3d6beb0f, 0x18330698, 0x9fcee9a9, 0x2143e46e, 0xff39875f, 0x891ecb93, 0x26b29a29,
+    0x168360ab, 0x737de393, 0x2b27223c, 0xadfcb5da, 0x019f0626, 0xe6508b5e, 0xeadbede9, 0x473a858b,
+    0x2a3fc322, 0x356c890a, 0x30a396e6, 0x48dfe881, 0x82fa1833, 0x520b098e, 0x56a2f298, 0xc36f7641,
+    0x6f4bcaad, 0xb4ef2a9e, 0x39761392, 0xeeabd118, 0x6cded241, 0x80757603, 0x86ef22d0, 0x8744115d,
+    0x76643960, 0xf96309c4, 0x9afbfa86, 0xf79b2541, 0xd1c8a3ed, 0xb4b53551, 0x385e40dc, 0xf3642b85,
+    0x33288863, 0xc9c92c6d, 0x327f4240, 0x245fbd0a, 0xc01b5df6, 0xb5e3cd59, 0xe124cba9, 0xd14c5581,
+    0x9f76be3b, 0x2312732d, 0x75431946, 0x91ac45eb, 0x1deb007b, 0xf0d1c4b3, 0xe5b8cfee, 0x8c71e85c,
+    0xf37a8c21, 0x22abbbb8, 0xd115e9b7, 0x51853295, 0xe6db8187, 0x5c1c04ab, 0xff2efc0d, 0x12af9270,
+    0x22f22472, 0x0003d1b2, 0x7db3bf40, 0xa0367b7d, 0x9ff1eba1, 0x15de37fe, 0xf4b9e3ed, 0x2d2a0a40,
+    0x280d0856, 0xcc321511, 0x7488100c, 0x14782cef, 0xf06f38e9, 0xe760586d, 0xc0b4c5d4, 0x45b30bc9,
+    0x1e50cd49, 0xb7385588, 0xce492411, 0xbce3a670, 0x63136c72, 0xeb0e886c, 0xf90a566c, 0xcb1d5806,
+    0xd210d179, 0x783115a4, 0xaffadafc, 0x1e2a271d, 0x2ee34cff, 0xafff960e, 0xd20293cc, 0x89eb2db4,
+    0x4fa2126e, 0x5a1af439, 0x1ad826f8, 0x277d6797, 0xf6ce137b, 0x22357e6e, 0xd73ca253, 0xda972a89,
+    0x5d62715b, 0x5bcf8160, 0x5c2f1287, 0x9e58449b, 0xc1dc0fbf, 0xe05b6922, 0x5cc0769a, 0x03e2c4fb,
+    0xd61330ed, 0x94ad050a, 0x205d1cea, 0x8757a29e, 0x7c81d772, 0xdfcdef16, 0xa4aa2bb0, 0x3847b0c4,
+    0x67a57859, 0x10107896, 0x1c0c0f50, 0x2a168aa7, 0x5bf0ca59, 0xdc1d06e6, 0x30629a1a, 0x3088a2b7,
+    0x506c085b, 0x59490c2c, 0x4a518056, 0x44a89ea1, 0x3b562706, 0x5fd1bb4e, 0x72ec3aba, 0xa6c83bdc,
+    0x5006b745, 0xed189251, 0x00c95217, 0x18442975, 0xa64fc2fd, 0x7cfd9eaf, 0xf6ac7c0d, 0x6399e421,
+    0x272454f0, 0x6a655957, 0xfb8f9712, 0x52c9cc80, 0x0f50cdb8, 0x08dd2aa6, 0x33077987, 0x62a1376a,
+    0x4aa8573d, 0x0f19c06a, 0xff4ecfca, 0xd03c1e70, 0x6135f9b9, 0x31447895, 0x8ce6d1d5, 0x69e2203c,
+    0x88622217, 0xc0239fd9, 0x9aeb859a, 0x8c2d605e, 0x786ddf3f, 0x5a6f5af5, 0xae660346, 0x73641099,
+    0x1b2ad0f1, 0x2d335bd7, 0xf56a6885, 0xb26d4c0e, 0xfdb41ff9, 0x7b467651, 0xa51d2299, 0x913e8441,
+    0x2fa89d1b, 0xc5a213ef, 0xf71ed936, 0x22d16e38, 0xb1139909, 0x6d3ae864, 0x03674b6a, 0xcd11dcde,
+    0x7a8608ca, 0x96003524, 0x90665266, 0xe09f9d96, 0x85f9b305, 0xa41b58f8, 0xc7feca23, 0x947b8663,
+    0x9bc3ab6a, 0x0e35a7de, 0x1628f063, 0x0ebc1121, 0x1f72179d, 0xb6bbda22, 0x2cc3a17e, 0xac103824,
+    0x4cc64f84, 0xccf58b82, 0x1c297810, 0x999a7e61, 0x13eca907, 0x8cdba6c5, 0x192326c7, 0x251d2f60,
+    0x3c6fbdf2, 0x10feed00, 0x1b5aca53, 0x2020f8f1, 0x16240ada, 0x9697d2d4, 0xb0b431d4, 0x027034d5,
+    0x7d3a2100, 0x5df109e1, 0xb7724498, 0x67bebd0a, 0x649b8636, 0x44e582ca, 0x1511f71a, 0x457d3ecf,
+    0x8b032961, 0xd8428e0c, 0x9bb7797f, 0x513a38d2, 0x61bd0ddd, 0x250c309f, 0x9be8293f, 0xa5f9b43d,
+    0xcce4428e, 0x6011fe75, 0x0453e046, 0xb72ce596, 0x98d929a0, 0x37f5c28c, 0x30ca6e46, 0x3fbdd644,
+    0x494efc3b, 0x26506f09, 0x376065f5, 0x5e392767, 0x25ed3222, 0x2f76b7a5, 0x11d87361, 0xf5c2f821,
+    0x40237e73, 0x4852d568, 0xb612afca, 0x2c74791c, 0xf7e845d1, 0x0e8a0851, 0xb7a4b27e, 0x70281c09,
+    0xb4cf9dbc, 0xab0c3303, 0x73f4be80, 0xba30edcb, 0xc6b25640, 0x0960c9b2, 0xb3ef85e4, 0xe67e7ad7,
+    0x7ca61291, 0x52095e16, 0x6aacad11, 0x3a16bbcb, 0x8ee777ac, 0xa4e7333e, 0x9973730b, 0xc6fa594a,
+    0xad75644e, 0x26abae46, 0x76cb2ae2, 0x8de7588b, 0x48dced75, 0x035c8025, 0xdf1e1fb6, 0xdcebc427,
+    0x8a943be1, 0xda814f45, 0x4f16b339, 0x39037da2, 0x6fc40741, 0xe65695f1, 0xff73f323, 0x8d88e562,
+    0x68827da3, 0x2276c8a8, 0x43ae3479, 0x09bfcb80, 0xe79137fe, 0x2b5e757f, 0x5146e090, 0xa7772fbe,
+    0x44cebc9c, 0xfaf5e9f3, 0x0323ca17, 0x4a1f7451, 0x17b4c107, 0x3712cf04, 0x02b4e185, 0x29a3e72c,
+    0xaf7125a8, 0x807c4d58, 0xa92eabd0, 0x69ac2b4e, 0x62ec2911, 0xbec246b9, 0x322475ec, 0xe9f2b7b2,
+    0x7d67cbe0, 0x3d54eb0b, 0xb1496d35, 0x6496526d, 0x401f01cc, 0x0cb15a1d, 0x72f7628f, 0x248c23ac,
+    0xd3684c48, 0x80da2412, 0x1691ad41, 0x7259b1ea, 0xe7e01782, 0xcc71bf23, 0x59f5dd2b, 0x833b71b5,
+    0x60bc4230, 0x843abd09, 0x14f08958, 0xeeb55e71, 0x43e0ff5c, 0x7f6eb5a8, 0xa99836f2, 0x3291d05f,
+    0x9dadd364, 0xfd739924, 0xcb40d2db, 0xa50d60cd, 0xafa24660, 0x2a8913ab, 0xcfd24f25, 0x3fba7c86,
+    0xcf79b55b, 0x0fba85ea, 0x1e01171e, 0xc5d6ad6e, 0x91f6044f, 0xb656a2cc, 0xa11a028b, 0x56f6d169,
+    0xbd6518a5, 0x81b77ded, 0xc5e8dc06, 0xafb0cdbe, 0x70019283, 0x9331bc35, 0x2b348eb7, 0x17aceb16,
+    0xac7556b4, 0x2f2811ff, 0x7ee237d8, 0x32e69e7d, 0x5fe7377a, 0xb92b25b5, 0x993181ed, 0xdd430035,
+    0xd34b1db6, 0x0dcc404f, 0xd883602b, 0x171732de, 0x4ffd5011, 0xb9aa6ebd, 0x98f435d1, 0xa6b4eabb,
+    0x527fbb2a, 0xa6b2fe37, 0xeffd3c17, 0xabaca70a, 0xe01cf544, 0xe5a23447, 0x0ef77f01, 0x22560ac0,
+    0x46dc8475, 0x5010c3a6, 0x63c1d588, 0x10138c3a, 0xf926ea70, 0x3125fa78, 0x11a096b4, 0x5fa4e3fd,
+    0x812f8092, 0xb14760ec, 0x257dc7bb, 0xcc3e51e5, 0xc16b1a3f, 0x3f768298, 0xa96cf932, 0xca58ed23,
+    0xfa08dd95, 0x14c574e7, 0x297034a6, 0x1c043550, 0x7829c1e5, 0x06011afc, 0xf7fe2612, 0x31f15d41,
+    0x1887f070, 0xf19efb74, 0x2f740830, 0x376f1f4d, 0xef6c42df, 0x6d699bed, 0x1b58bbde, 0xaa56ec81,
+    0xe9610601, 0x0a9f3432, 0x5029bd7e, 0x0e4934be, 0xffac53d1, 0xd6e1b3d4, 0xfb5d16f3, 0xd7c3fa0a,
+    0xd6ce0bca, 0x1eab10a6, 0x771790b3, 0x5bc4fa4e, 0x389198d4, 0x66746a6f, 0xceda217d, 0x3f08e672,
+    0xab155f3d, 0x232cf7d8, 0xfa72d99c, 0x737a0d50, 0x42a8fa40, 0x7de25ab8, 0xd24c07dd, 0xcb47b3fb,
+    0x965cd1a8, 0x5cfa1761, 0x1e1c62ad, 0x84975180, 0x9bcb0509, 0x0465704e, 0xe2bf073e, 0x990c52a2,
+    0x6ae0c4d8, 0x3c0ca632, 0x606a2066, 0xc2463a3b, 0x3bb7efae, 0x9d6fef37, 0x01fe9d75, 0x489065fd,
+    0x84d1e482, 0x7c62b078, 0x2d096927, 0x36f2a3be, 0x516f694f, 0x18f59f03, 0x5aedc862, 0x1d608370,
+    0x991b7ac9, 0x80578c71, 0xc5c19e76, 0xf9ade81c, 0xaf5d2b64, 0x99f12186, 0x3a047623, 0x3a6d82b9,
+    0x9c5b5f7c, 0x2d44a7d6, 0xf48ced12, 0x181d362a, 0xb4f11b51, 0x46878f76, 0x03d98125, 0x43b41211,
+    0x6e684375, 0x43268850, 0x0c61fe25, 0xce248c46, 0xbe88cd6e, 0x212461fa, 0x3dfead85, 0x7c1e72c4,
+    0xb1c2ae35, 0x76a59fdd, 0x110b60e6, 0xf11a37e3, 0x30632dfb, 0x58ad0f12, 0xe8e81bfa, 0x48ff02a5,
+    0x43d5c9c2, 0x00952590, 0x2efe1907, 0xa2d3952c, 0xa4936e2b, 0x13be9a65, 0x8fbafaf3, 0xcf3393bb,
+    0x84d51980, 0xc0b8a93b, 0x9a45ff17, 0x599cee59, 0xd2c78c99, 0x6e59f6e3, 0xd5db87c3, 0xe8889d11,
+    0xe63eb09b, 0xcf5846a0, 0xf37d9074, 0x60321620, 0x71cc7fda, 0x3049a4fe, 0xa0422f5c, 0xa6e1021e,
+    0x843e6625, 0xb6aac38a, 0xd003f681, 0xd962eea0, 0xa4d98db0, 0x5d50f092, 0x64b5d021, 0xa94d7483,
+    0xbc80ffb6, 0xc45b26d0, 0xee807748, 0x2344d703, 0xb2aafd7a, 0x12c230df, 0xae44abc6, 0xc0bb5aa6,
+    0x20d4e18f, 0xaee05e6c, 0xa7e1b72e, 0x5aa04952, 0x0381b716, 0x6ff8889e, 0x4a4d75ea, 0x7ce1996f,
+    0xbb682ecc, 0x49af66c8, 0x9cea3d8e, 0x0531fff2, 0xdcbb6dea, 0x52fdf9f0, 0x435829bc, 0x49ecfdd2,
+    0x5b326749, 0x955c81a4, 0x4ee0f293, 0xb572ca32, 0x127c241b, 0x126be6b4, 0xa86a34ad, 0x3fd8c8c3,
+    0x0c9ece12, 0x5e78391f, 0xd9a7625e, 0x1289dc62, 0xd138c8c6, 0x6f51384b, 0x9bb873d4, 0x331c8d75,
+    0xd8d8c0fb, 0xa8dd7359, 0x5d8841dc, 0xac8063ef, 0x7a285dd7, 0x165c0061, 0x2a24b1ee, 0xc977bdd6,
+    0x1f9f9ce6, 0xa640ff66, 0x70d5b3b9, 0x434cf098, 0x8d63941d, 0x22a1b79d, 0xc1d0d341, 0x082d0a82,
+    0x3db41589, 0xc0f04a17, 0x2ebbf109, 0x6141f202, 0x89af1fbe, 0xafcd1c7e, 0xcd464212, 0xcb1a6c61,
+    0x016787ba, 0x2c796d71, 0xc9bad0bc, 0xd1084648, 0x6df1a80f, 0xffec0c1e, 0x0d54c665, 0xdc5f8ab1,
+    0x6c8900fa, 0x36ccad56, 0x2c8ac4ac, 0xbda1b6c1, 0xaa60e4df, 0x3a4cd656, 0x8d62e55a, 0x228a8b91,
+    0x83a6ed67, 0xf217b44f, 0x214798a7, 0x838142f8, 0xa716e27c, 0x6b541a30, 0x887df05e, 0xd17be58e,
+    0x872c0e24, 0xa5152c7e, 0x66d29d0a, 0xd8d1d0e6, 0x1ef81bae, 0xff862e1e, 0x5308c909, 0x787f68e9,
+    0x6fb0db42, 0x91494fc9, 0x3aa7a58d, 0xcc714e05, 0xcb954154, 0xfae90584, 0xbf10ecb2, 0xfec020b7,
+    0xbea235fa, 0xc89c409e, 0xd22437b4, 0x8023f5bb, 0xf8aa6135, 0x8e3b2a27, 0xe00b6d6b, 0x4ab61906,
+    0x4fdc5471, 0xd2f9802a, 0x97c7620d, 0xd894bbd4, 0xf733393d, 0x2f4ffff5, 0x5a3cca7a, 0x96cfaedb,
+    0x83a5310b, 0x668b8a88, 0x3628713d, 0x2a20b17c, 0xffdc3aa2, 0x03ef3c04, 0x9fb2d106, 0x0eb0f4c7,
+    0x577d7c33, 0x3607ae61, 0x1fb50486, 0xcab3f037, 0xefbe6ec7, 0x91908f89, 0x879e282e, 0xe4915542,
+    0xe15e2396, 0x0928f33a, 0xbfb88c1d, 0x5b6a6031, 0x4a1cfdc3, 0x7b3488dc, 0x648ee118, 0x65d4c2c7,
+    0x769f45ae, 0x37cc0849, 0x8fb92194, 0x5fed630b, 0xe635c6cb, 0x9958f6c5, 0xd3dcb959, 0x3794ca35,
+    0xffccd475, 0x4f4580c0, 0x1ed9e3a3, 0xf6992f78, 0x58ed148e, 0x620e2e5e, 0xe678118d, 0x791c18aa,
+    0x41070de4, 0xe7196972, 0xfa414433, 0xebb66a6f, 0xc2f53e6e, 0xc43b3120, 0x558798c9, 0x34f72d8b,
+    0xb5d77607, 0xb44f3f13, 0x1757f68d, 0x58418ea7, 0x52461fec, 0x1b0fc057, 0xd0fd8624, 0x4d1439b1,
+    0x36b1920d, 0x31653bbe, 0xfd0bbeaf, 0xf6ac4f69, 0xabe5c403, 0xd11fd0c8, 0xdccc5c04, 0x715910f5,
+    0x223f0669, 0x6328967f, 0xa32f2abe, 0x2f54880c, 0xef3c24f4, 0x20076790, 0xb716fbe3, 0xa2c65038,
+    0x7d68e758, 0xfd59b2da, 0x7867d2d5, 0xb211510f, 0x210aaf44, 0x44aa11a6, 0xa245eb2f, 0x5960f97e,
+    0x46184448, 0x3c441a6a, 0x952cab2f, 0xda92d499, 0x71f44c04, 0xe3bf7dc2, 0xf2f0fcb8, 0x9ee6f829,
+    0x95eacce8, 0x5592c804, 0x036adbef, 0x98208578, 0x708d2f9e, 0x2cd37029, 0x76691a53, 0xdca359ef,
+    0xddada2ab, 0x73275cac, 0xec65fa65, 0xe024d3fb, 0x67785b36, 0x164b70ed, 0x6fe1bc67, 0xaa4dadb6,
+    0x20d18dce, 0x99c2d783, 0xeae1dfb7, 0x133bdbbe, 0xf2cf3c01, 0xb1c5a736, 0x91313725, 0x75113229,
+    0x053e7b6f, 0xf250c3db, 0x783673fd, 0x07fb6e44, 0x836cb854, 0x3effcb81, 0xeb0ce5ef, 0x9eaaccfa,
+    0x43d33602, 0x9b5165c2, 0xd7835c0d, 0x67ae86ac, 0xfd8f714d, 0xbaeba9e1, 0x210ddc09, 0x15e53c01,
+    0x6c68200b, 0xbe4e99f4, 0x59e8f037, 0x88008342, 0xb2adc346, 0x2841944a, 0x1d090b2e, 0xf62ab2cc,
+    0x87bbca24, 0xa5c1e754, 0xfb1b6f45, 0xffaee8fe, 0xb5df83d4, 0xc7f49583, 0xa24c5335, 0xffe3bf7e,
+    0xc4f30303, 0xd5567da9, 0x313da4cf, 0x068d483b, 0x2ed1fa0e, 0xfccf2e95, 0xed2c83bd, 0xc6c193d8,
+    0x3407132e, 0x752d8f7f, 0x497122d1, 0x4c7e35f2, 0x56322842, 0x9839d83a, 0xfc4f8fd5, 0x51dc5c86,
+    0x3d2de053, 0xb1c9e5a4, 0x23ba9d83, 0x275c9c4b, 0x3bacdf2f, 0x901b693e, 0xd18d4042, 0xbaa6bfc5,
+    0x9078461a, 0x9e0ad213, 0x54b57dd2, 0x074f130f, 0xbfbe1cc4, 0x9ee4633d, 0xeed9b12a, 0x45627f0c,
+    0x05097a3a, 0x8b3caf3d, 0x46407712, 0xb8838d09, 0x627af549, 0x39bd038f, 0x5979ee46, 0x6e5fb307,
+    0x3f774df0, 0x21446d38, 0x3078d43d, 0x80c543f1, 0xd5ea0eb2, 0x64afff04, 0xae673575, 0x07377076,
+    0x7e73638c, 0x363f03e4, 0x50dc1303, 0x85c69883, 0x07b9d4ee, 0xa613e46f, 0x8e8fe5c8, 0x4086d731,
+    0xf1102000, 0x6c14eeae, 0x9d7dfb1f, 0xe48d75dd, 0x74d97eb7, 0xd2f0d20b, 0xc482dc6b, 0xc9b7d369,
+    0x34a5fd34, 0xd70d3702, 0xff61c7bd, 0x167f10c7, 0x54d79eb5, 0x99c7278f, 0x1b694439, 0x85eae9c1,
+    0x00000000,
+    0x317ccd77, 0xbfbe8c3d, 0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a,
+    0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000002428336\
+                          11528216133864932738352939863330300854881517440156476551217363035650651062272 */
+  { 0x00000000,
+    0x6ff22b9a, 0xc972d3f0, 0x4f58be4c, 0x3d0bf1ad, 0x9629a593, 0x2376de90, 0xb44b389a, 0x992aa451,
+    0x2270c618, 0xef568930, 0x12086406, 0x3c05a0ca, 0x3993772c, 0x36747446, 0x1835bcb6, 0x18b88013,
+    0x7ebe5efb, 0xb59f3929, 0x45b91af5, 0x3fe1e7c0, 0xc1fd1fdf, 0x54fda713, 0xe608a432, 0x33aa3b70,
+    0xe2312fb7, 0x4d72ca70, 0xdb2fdab8, 0xfae6a041, 0x8b6ae975, 0x5ec10428, 0xdbacaf41, 0x2997f86b,
+    0x667f01a1, 0xe8349248, 0x1d5baded, 0x761ec481, 0x3c94845c, 0x999d1361, 0x22c42f06, 0x83f68951,
+    0x49e62b8b, 0x4537e1ee, 0xa942a64f, 0x49d93e86, 0xec114e24, 0x9961d37c, 0xf1561a03, 0xbea704b3,
+    0x176d4226, 0x08fe32d8, 0x94137a40, 0xc9043a77, 0x3f7f194f, 0x5de88aa4, 0x53244372, 0xc7eb23a3,
+    0x39a95817, 0x86caf53b, 0x3eca0002, 0xe07a3df0, 0x23681a44, 0x4e087079, 0xa4f39a7b, 0x4cc6e0d3,
+    0x91ca6047, 0xaa31b7f9, 0xe72f230d, 0xb5d9d69f, 0xd0bd7fb9, 0xa2956caf, 0xc73f1bb1, 0xf7119354,
+    0xb4ac118a, 0x5cd0146e, 0x08d42944, 0x3a6493ca, 0x06fea1ef, 0x60dfaae5, 0x0d26a464, 0x36aed06e,
+    0x8d04878b, 0x45ae5354, 0xd8fe3e1e, 0xd348ff4e, 0xd18bd8aa, 0x60e43940, 0x0bda4f06, 0x8d83e1ff,
+    0x9e3baf20, 0x225d68a5, 0x9f49c86f, 0x97f5426f, 0x8872a5fc, 0x55f2ae71, 0xff726aee, 0xd6fe70f8,
+    0x28cba007, 0xe5821471, 0x11bac212, 0x3a30fef5, 0x5fa1ce53, 0xc9a24510, 0x05412150, 0x90b0dce8,
+    0x3622a603, 0xc18e5236, 0x54879341, 0x06b80273, 0xa877ba12, 0xbe3b0719, 0xb33f7a4b, 0x8d178b95,
+    0x7cddc43e, 0x17a75f53, 0x21c6ee72, 0x8b9efa09, 0x77005440, 0xc210dac5, 0x5edaea77, 0xd7ee4360,
+    0x5846731d, 0x9924f773, 0x609c5a45, 0xca095aad, 0x13f35e34, 0xa960df6d, 0xe4a8b676, 0x43dfc877,
+    0x157b871f, 0xdbe9aec2, 0xb581ff5e, 0x6c9c23d7, 0x3edea43f, 0xfc3b56e9, 0xa489d3da, 0xf6829980,
+    0x0d1679ef, 0x996dfbfa, 0x4a0d420d, 0xa8f9c280, 0xfa5a8085, 0xb2e5ef79, 0xa738f543, 0x66a4c67d,
+    0xe604cf16, 0x2f10bd72, 0xa3801ae3, 0x4e90297e, 0xf18c781b, 0x7b0e3486, 0xeae3c0cc, 0x3ea0f823,
+    0xd71353c9, 0xb224f31c, 0x50bb1063, 0x13cff3d7, 0xac7bd894, 0xc4b5a93d, 0xf2004634, 0x329565fe,
+    0x330e54b5, 0x90494b31, 0xd8dc6221, 0x8032ff37, 0xc010d473, 0xe9878422, 0x8691e63d, 0x73c3f2f5,
+    0x8b22bc29, 0xa8c43bfe, 0x92321382, 0xd02f14f8, 0x82458ace, 0xc4da04eb, 0x7aae6a87, 0xce9c98fa,
+    0xe36216eb, 0x570c6d87, 0x026d05cb, 0x6bb3a9dc, 0x8bb66047, 0x844954ba, 0x87025dd9, 0xefa6ab19,
+    0xbc0a94de, 0x78adcae7, 0xf4451608, 0xbd145174, 0x8bf467b5, 0x46c3c957, 0x10a0ea9b, 0x3c6e6938,
+    0xc67a29ef, 0x026d3950, 0x4705db2e, 0x5782a0fb, 0x47eb5f3b, 0x3f80df1f, 0x00a17419, 0x4e22d08a,
+    0x1fc6635b, 0x535c38c5, 0x1ff70ab8, 0xbdca00ab, 0x93d0eace, 0x8cb48684, 0x4823e4e2, 0xecbeef74,
+    0xd80a4d69, 0x7a0cd09b, 0xea80056a, 0x6a6f52dd, 0x0e50e0ef, 0x2b342225, 0x2d656d39, 0xb02f6a1f,
+    0xccacb490, 0x7cc28a12, 0x72f54dea, 0x9a833957, 0xec437897, 0xfecb9208, 0x73f3398b, 0x7dfe1e4a,
+    0x4b7c9e97, 0xd5cc87c4, 0x8da4a555, 0x98fcc5ff, 0xd59e7095, 0x214f2e56, 0x55fe8e45, 0xd9e452f4,
+    0x766a4f26, 0x492f779e, 0x9d6829cf, 0x87b57467, 0x53c64fa8, 0xd1773afa, 0x80c63f29, 0xe9c93262,
+    0xefa0263a, 0x97f37fc2, 0x0081dd2d, 0x08f32d37, 0x23b8e19e, 0x5ed890a7, 0x40b36ee6, 0xb15d0619,
+    0x24eaf8d7, 0x2a304ece, 0x5dfd0b42, 0x8bcd8adc, 0x4b1ce184, 0x81f78ecf, 0x394c611b, 0x607e8b72,
+    0x707bd885, 0x86116338, 0x7932e4d6, 0x1d9f5066, 0x4825367a, 0xd45ab208, 0xd713dd1f, 0x8cb75898,
+    0x4036b0c5, 0xb6fa44f9, 0xaf6af08a, 0x68474f4c, 0x43cdc66d, 0x51492d6f, 0x7c54f05b, 0x10adb133,
+    0xa84e4972, 0x9d2853c0, 0xe2f0fe41, 0x60c5abba, 0x97dca4ed, 0x50254c0d, 0x8ce25aaf, 0x8e19a06c,
+    0x36311410, 0x108d9680, 0x92dcb810, 0x9aafb1e6, 0xb3a68c23, 0xc99afca1, 0x84379753, 0xe63c2a6f,
+    0x59a5dcfb, 0xaab5955c, 0xc8272997, 0xd654a346, 0x665273d6, 0x32ce80a2, 0x42443c0e, 0x68ef0641,
+    0x2530c78c, 0xdd998030, 0xda64b973, 0x4ac9e2a8, 0x20a621a3, 0xc217afd7, 0x7de29074, 0x81bca8b0,
+    0x54b6f2e3, 0x70bf9f35, 0x4884f8fa, 0x7b473deb, 0x72449c56, 0x8c48767e, 0x72197eb5, 0x9969617c,
+    0x56367aa5, 0x528abd40, 0x3ed2e2f8, 0xec20f6c6, 0x06cad091, 0xb1bb3455, 0x5cdd23d9, 0xa5caa438,
+    0x1b91ad44, 0x43de2af1, 0x8274a1bc, 0x50eb4f08, 0x8050a1d4, 0x1a55df74, 0xc301a4b7, 0x274caedd,
+    0x2d30bb01, 0x49a36e33, 0xd3d7a790, 0xfd3f70a3, 0xccdb1dc1, 0xdb25d823, 0xaac8fbb7, 0x930982fb,
+    0x5483ad68, 0x7e96daf4, 0x38784bce, 0xc99b2559, 0x1171a351, 0x9a1d0443, 0xbd510406, 0x3ea94ecc,
+    0x48b50397, 0x72730491, 0xae1d47a5, 0x6b8aae92, 0x2d1c3c7b, 0xe1a14e97, 0x09b7c524, 0x42454bc0,
+    0x1c04b340, 0x0817c8e6, 0xaf874fc5, 0x5f0d6b72, 0xf152a0fb, 0x57e9cc6c, 0x58a6687e, 0x694b0daf,
+    0x0824b96a, 0x5797cc56, 0x54f3f4e1, 0x068aca49, 0x0216be12, 0x4f98fc3a, 0x0e6b506c, 0xcc19f302,
+    0x949bce00, 0x983f0059, 0xa8b59c4f, 0x9676c48e, 0xa8dc0fab, 0xf487a78a, 0xb0b4fc6b, 0xf1bee64d,
+    0xca6393c7, 0xfe8071bb, 0x423d1c79, 0x26cfb867, 0x5b5018f5, 0x2370c1a4, 0x8b908d67, 0xf014b807,
+    0x45488c57, 0x715b1117, 0xcce488ac, 0x13ebf75f, 0xedc847cf, 0x87ebd48d, 0x66396481, 0xebdc4e92,
+    0x5684e7ec, 0x1d846eaf, 0x114a503b, 0x72234429, 0x15f74bfd, 0x07345abe, 0x621deb3f, 0x4cd63c97,
+    0x10490c18, 0x2bedeab9, 0x51699f9e, 0x28b8d623, 0x0f368a8f, 0xd8d6ebf1, 0x5b45c49c, 0x957633a5,
+    0x2fc6ad2b, 0x063b366b, 0x026bcc0f, 0xf4458b93, 0x69b71cd2, 0x88dfca18, 0x0f56f670, 0x0de6bfba,
+    0xedf781ac, 0xb44df7ed, 0x5f6a1093, 0x41114fd2, 0xf5a2d7c2, 0xe0cc9d4b, 0x6e14dee6, 0x584b4661,
+    0x01ecb616, 0x25afbd5f, 0xe9ef21a4, 0xb89309f2, 0x9c6e002f, 0x12ad5e41, 0xc7177423, 0x71d3c8c1,
+    0xd2ad44b3, 0x68c6f572, 0x72318943, 0x9380ffeb, 0xe15bf22f, 0xfe034b36, 0x22ac0615, 0x49d65749,
+    0x29730ec5, 0x05a26521, 0xa67f52dd, 0x2a459e45, 0x87ebf0d9, 0xcc4aa33a, 0xb7cf0604, 0x16c9a0e8,
+    0x39bd4000, 0x372e258d, 0x24864d47, 0x23a76281, 0xaf6be8ae, 0xac52bc37, 0x971b9041, 0x4363d277,
+    0xe445c1dc, 0x24161a0e, 0xe6c955b8, 0x4f2a709a, 0x59f441db, 0xf8274ba6, 0xcc3fb3c5, 0x2daad8a7,
+    0x330fd351, 0x1f5fdc40, 0x2dce3b48, 0xd2ed37fc, 0xdb1d87b6, 0x361b5cc9, 0x9894fbdf, 0xa1c3f7d2,
+    0x22060134, 0xd032bf4e, 0x8a59002f, 0x9e586aef, 0x98ade05c, 0x42cabc2b, 0xa92fd795, 0xa71f4288,
+    0xa135b306, 0x22b9d97e, 0x6b7e2942, 0xefa894bb, 0x89cd09c9, 0x8c4929de, 0x36ae83b2, 0xe318bbe9,
+    0x34a6a993, 0xb9b351fe, 0x1cbf4605, 0xf9a84db1, 0xe7005bb7, 0x643aae5c, 0xd14a0a56, 0x9d70946d,
+    0xd959b266, 0xd3de7f94, 0x7ba688dc, 0xe53419b0, 0x2ec7349e, 0x72b85af6, 0x0ac21562, 0x1bd5cc66,
+    0xfae7d746, 0xd5a837ad, 0x29e126d6, 0xa2ec28d0, 0xf3951110, 0xff9b7b1a, 0x3aaa8ad2, 0x2ee176b5,
+    0x1fae2e4f, 0x0f33e66f, 0x9105b24b, 0x3a8d7d7c, 0x1e598ad8, 0x5a43af78, 0x38035ff2, 0x9744f6e1,
+    0x1fc85cda, 0xf8274eca, 0xa8028bf6, 0xe9ff4213, 0xba7cfc67, 0x2674e588, 0xf088d897, 0x4112436e,
+    0xb7761182, 0x4094710a, 0xa8a38ac5, 0x18f24221, 0x5e55c715, 0xbdb9e9ac, 0xc6bfdd92, 0x0a06807d,
+    0xaaf8f5b8, 0xc4ca8ee9, 0x508234b4, 0xb30bb296, 0x284d7b95, 0xb5ed6971, 0xc38d6e0f, 0xead42629,
+    0xb510fd1d, 0xe840e58f, 0x89eb1eaa, 0xa70557e6, 0x71c14e8b, 0xc5a88c49, 0x0ca7868e, 0x29d6e2a8,
+    0x733fa99c, 0x1a75c195, 0x2621a706, 0x46739d40, 0x92cd76f4, 0xbabac173, 0x14ffb1c9, 0x90d5688b,
+    0xd727086d, 0x8317b043, 0x4ab6b299, 0xc7c99ecc, 0xdda5c89a, 0x95578de5, 0x7495381c, 0xab821f35,
+    0xec4e355e, 0x738f9a58, 0x8f408716, 0xd81b0584, 0xc0c16b6f, 0xde145441, 0x1ee0dff7, 0x3e784ff8,
+    0x26e75293, 0xffdb34f4, 0x5be759e3, 0x68d6ff1b, 0x30853f18, 0xa70e2110, 0xc45ec66c, 0xd48c594e,
+    0x0c121d1f, 0x96bdc296, 0x43c77289, 0xc30e2461, 0xe503891f, 0xaeeb6049, 0xfefba22b, 0x0fbe4d88,
+    0x5fcb9f68, 0xe1a971f2, 0x0c42e8a5, 0x247c7326, 0xeec92f82, 0xa1759717, 0x41c3377c, 0xaeb9beb7,
+    0x3779f6c4, 0x2e32efb1, 0xfc5a98d3, 0x4c50919c, 0x3a1348a3, 0xee5edeb9, 0xc7d70f9a, 0x2f34274b,
+    0x8e61c8ba, 0x9cde8192, 0x6078b410, 0xf7e3352e, 0xf3311e0d, 0x3c9f09df, 0x071f73fb, 0x863c0807,
+    0xc4452c4f, 0xff42b312, 0xe696554f, 0xa771e3fe, 0x8b48ba60, 0x9f6d317c, 0x9e639f97, 0x35c32275,
+    0x1e185392, 0xf22b1bb5, 0xa4b3e502, 0x566195bf, 0xc3b8d83d, 0x51043f90, 0xb874a396, 0xf73e80cb,
+    0xe0c7dcbf, 0x721ed775, 0x90934940, 0x78459baf, 0xada93b7f, 0x021a7496, 0x295cef28, 0xf00b6d8d,
+    0x34a4759a, 0x74ce587d, 0x31132229, 0x2e89ea2e, 0xa3ee0cfc, 0x3676a97e, 0x71c71741, 0xc392c122,
+    0xc5b7f9b2, 0xe1598fc8, 0x0aaf8791, 0x533d1848, 0xbc1cfdbc, 0x6a34fbdb, 0x638cf36c, 0x0b350f8c,
+    0x1933a448, 0xda4a1052, 0xeacd49c1, 0x4b0d02f6, 0x7f9c301d, 0x106fb1ba, 0x82907033, 0x5a472f87,
+    0x7c22e375, 0x073d76e8, 0xbc5b4e40, 0x75ef8c9f, 0x5466bd9d, 0xda23d27e, 0x974f5993, 0x03c4c2ee,
+    0xc62c783b, 0x5c5a094c, 0xf2fb29cb, 0x8efaf512, 0xb8dacba2, 0x13c2b55d, 0xf403215b, 0x94fc09c3,
+    0x36b0a8c9, 0xac582cc3, 0xff490f87, 0xa4660a8e, 0x574294b6, 0xec0e33e6, 0x3947a05d, 0x4b3ae724,
+    0xd8a64ac3, 0x11947707, 0xb1ad7fe3, 0x7ca682a3, 0x12c13fe1, 0x2c9cbada, 0x2ec9585b, 0xcfd0bc13,
+    0xf6313ded, 0x7a5728a4, 0x4d4457ec, 0xdfae366f, 0x5aeb9756, 0x406934e2, 0x047ecb0b, 0x5135ac06,
+    0xb0049b1d, 0x0d67fffc, 0x59c3ac08, 0x29a31d6c, 0x88f0c386, 0x7aaa628d, 0x32e182c9, 0x90d05283,
+    0x3aeb62cd, 0xdf7b62cd, 0xad90b63a, 0x238880c0, 0x9b52d935, 0xd6763c16, 0x68a66978, 0x8887cdcd,
+    0x7db0dbc9, 0xbf3aa31d, 0x429c2c76, 0xcb891767, 0x4d6a8d23, 0xaf1ec273, 0xaafc5044, 0x6dcc7f68,
+    0x272514ce, 0x6d53f070, 0x5429f39a, 0x06d4b2bc, 0x00bd4fae, 0xb75ba491, 0xe48f1879, 0xd9a78708,
+    0x93534ed0, 0xa0fffa06, 0xc2356ad5, 0xf1ada8f3, 0x8b1e2357, 0xa9baa2f9, 0x09b88381, 0x28d4668d,
+    0xb377cfa7, 0xfce31cc7, 0xdb1b46cb, 0x4179416b, 0xa2f2740d, 0x094b5436, 0xc2f6c32a, 0x7208601c,
+    0x5d488581, 0x3dd062c9, 0x90e7dcb5, 0xb85704b3, 0xfed11d81, 0x058c0fe2, 0xb7e7b4a5, 0xe6eb44e8,
+    0xe2c8ca46, 0x96669615, 0xf77f60b7, 0xc37d9a90, 0xee8e55e6, 0x40bc83ed, 0x7b5f3ceb, 0xc83524ca,
+    0xcd8b54ce, 0xc1ac05de, 0xebc082ef, 0xaf5c6324, 0xc9e37067, 0x9a27bb82, 0xe7981cab, 0x6e23d779,
+    0x27df8f91, 0xd5e995c4, 0x46e2280e, 0x9a8fe98a, 0xcc9414f2, 0xa6e1db0c, 0xf60ab2cb, 0x468bf0a7,
+    0x52efe6bd, 0xb9719d89, 0x7cd4b0e4, 0x36f4a08f, 0x213396b5, 0x8195202a, 0x69a4a7ba, 0x233db663,
+    0xb22563d6, 0x1afcaaa9, 0x6de99616, 0x5c2f9e0e, 0xfa89efa1, 0x39df125c, 0x552fe182, 0x5a91f487,
+    0xcbd5716b, 0x6367068a, 0x2bf10159, 0xf55ba164, 0x6cf0fb6a, 0xe14ba2cc, 0xb5bbb617, 0xf3d415df,
+    0xa6834772, 0x537093b4, 0x22031137, 0x7f9acb98, 0x645f4012, 0x7b423ec7, 0x713f062c, 0xfca79546,
+    0xc7084e5a, 0x32164e26, 0x41380bac, 0x206c135f, 0xcf0c3d10, 0x83d64ee3, 0x0dde0e38, 0xd9ec0936,
+    0x2f42239f, 0x63fe2d72, 0x44c2cb48, 0x1ebd9fa8, 0x93d64390, 0x74cb4d4e, 0x50fd9fe8, 0x2e4c3359,
+    0xa9a55631, 0x2d6338a9, 0x5766be6d, 0x5e8a6a94, 0x423fbf1d, 0xa668fce4, 0x4ef30a9f, 0x09094a6f,
+    0xfc271e3f, 0xc54e83d4, 0xec37b7a9, 0xdfe808a6, 0x807a8d48, 0x8b7afbf2, 0x5644369e, 0x873fbd84,
+    0xae1957c9, 0x84eb98c0, 0x2602b8b1, 0x59c67288, 0x5859b76c, 0x7ce9a692, 0x43e5ae35, 0x1cd761c4,
+    0x1f78c2c9, 0xd9a73b02, 0x7cb52a66, 0xef3147a1, 0x92348081, 0xa6f264f0, 0x036d1c9c, 0xec03e543,
+    0xc36b5509, 0x9c72b902, 0xac9683a5, 0x5fcc88ea, 0x43bd0516, 0x2cc368ce, 0x3124d012, 0xc1bec5f9,
+    0xe1a31da5, 0x9bd524d7, 0xeb3f319f, 0x8437ea74, 0xb2db4e56, 0x11fa9dd3, 0x14ef34d3, 0x76051a40,
+    0x18f00805, 0x666f0b52, 0x6a625481, 0x086d1096, 0xe50daa53, 0x14fa3293, 0x76d30347, 0x9794582a,
+    0x5dbf2db6, 0xee95cf63, 0xac96616f, 0x1cfc1bdb, 0xe85f878a, 0xf3cb22ef, 0x4149f851, 0xfb9b914e,
+    0x2a4c43c0, 0x665612d9, 0x8ce28ac8, 0xd80a0351, 0xb234270d, 0x4f233045, 0xc82833fc, 0x0f13678e,
+    0xd4589313, 0x23b76f5c, 0x66997c39, 0x954cb661, 0x8b8bda43, 0x91f91e59, 0xea06744e, 0x66cc8bcf,
+    0x94b911d5, 0x4249b925, 0xd59373c7, 0x1fd2ddd8, 0x803e55a5, 0xf2b59bba, 0xfeb6507b, 0x7bc0ab8e,
+    0xa6fddbac, 0xaf6da1ef, 0x38b806f8, 0x28b612b2, 0xe44b6044, 0x76a2b7fe, 0x4c81d4c3, 0x612111fc,
+    0xf58eb404, 0xa67a5d82, 0xd71cb515, 0xda2c108a, 0x1df01852, 0x92e8b235, 0xd3e726f7, 0x04e48eb6,
+    0x74292c1a, 0x1e41f982, 0xdb1370ba, 0xf8df5469, 0xc8e4cbe3, 0x213c56d0, 0xbb470ba4, 0x7abe38f6,
+    0xb0d0a50b, 0xafb21bd7, 0x7f370c40, 0xc6688bf9, 0x6f942c3a, 0x0afb5c87, 0xa6342cc4, 0xea67122d,
+    0xb322d2b6, 0xcc7d680b, 0x695edb4a, 0x9bf75c76, 0x32310b95, 0x367612b0, 0x80020b67, 0x8142fdfa,
+    0xa8a5e683, 0xcb87d36a, 0xd0487d2f, 0x0ff78e5d, 0x8dd952a9, 0x5d7d386a, 0x0583acc4, 0x9725453b,
+    0x83de2868, 0xa6978a51, 0x4dcd4877, 0x64487878, 0x0e7141ca, 0xc111eec3, 0x09224335, 0xef93ff71,
+    0x9a1390a8, 0x4d934d37, 0x0881d6da, 0xa4dd2b10, 0xece5b332, 0x2491425a, 0x40e5fd93, 0xa28224bb,
+    0xc4724fd6, 0x55710cb9, 0x18789abe, 0x01bb204f, 0x87c60964, 0x0a6aafae, 0xd8c4105f, 0x6c732961,
+    0x28cc8c0d, 0x8e8566b7, 0x56ab1a94, 0x5761404a, 0x28c0243b, 0x288c402f, 0x4d9de909, 0xf23f7e5e,
+    0x2d30c310, 0xb43309c3, 0xbf4932d2, 0xaad22651, 0x3709f6a1, 0x6e6f28d5, 0x555a4c26, 0x82ece60f,
+    0x00000000,
+    0x98be66bb, 0xdfdf461e, 0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d,
+    0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000001214168\
+                          05764108066932466369176469931665150427440758720078238275608681517825325531136 */
+  { 0x00000000,
+    0x3c2d8987, 0xc9345713, 0x95a9cc8d, 0x5c443b6f, 0xbb4af237, 0x5b5fdfb9, 0xf3a1235c, 0x64ecdc7e,
+    0x1fd8eaed, 0x20a63b80, 0x38485f24, 0xcec78665, 0xd1df1cd0, 0x6c49e29f, 0xec0d2ff8, 0xc5167e7c,
+    0x56525c0d, 0x48071e3e, 0xde374f67, 0x42a7487b, 0xf99f22d9, 0xf2513956, 0x948f4a75, 0xa3e97cf8,
+    0xfd6150f5, 0x855774a2, 0x08e17433, 0x9523dbe4, 0x9433d13f, 0xbdbeede4, 0xa9b3a207, 0xdee4f441,
+    0x458cbc37, 0x72e474bc, 0xa4861021, 0xdd0a830a, 0x98093dcd, 0xd833b92b, 0xb0bb672d, 0x912e1280,
+    0x7f8f7e9a, 0x292f8a4d, 0x97ca0b82, 0xca244e03, 0x06922b6d, 0x77adab1b, 0xf06a8ee7, 0xacfdd3ca,
+    0x104b1f4c, 0xc8e1cb9b, 0x8c8e2caa, 0xa265a407, 0x131fe614, 0x3838686d, 0xfaa0d129, 0xa4a6a12f,
+    0x7b8ddd59, 0x664ff2de, 0xf765b9da, 0xde62206d, 0x20b56f52, 0x06dd1766, 0x03dfbcc1, 0x43c0be30,
+    0xb8646353, 0xea64d020, 0x2756a186, 0x21fb7fbe, 0xb2058e28, 0xa9e770ae, 0xa9e23b2c, 0xb92630a8,
+    0xb1df2074, 0x6b7ce16b, 0xd55ce0eb, 0x13aff6d5, 0xef8a031d, 0xf5419655, 0xb1c37a56, 0x46a1fd74,
+    0x58c822c2, 0xa3921e46, 0x9d1024d4, 0xe3a50c07, 0xa6876bbe, 0x02d850b9, 0xe6486470, 0x30967b07,
+    0x2d1e0eed, 0xc433c49a, 0x8f04265c, 0xfc2e5bf2, 0x55f1f35c, 0x8f4f9a9e, 0xb61ca059, 0x3ee5054a,
+    0xf9d73635, 0xd0532474, 0x3faa70dc, 0x034304c0, 0x9b88007e, 0xefc47d0c, 0x6a3e3f59, 0xeb3c7602,
+    0xbb0285e8, 0xb629457f, 0x009a3f1d, 0xf5551de3, 0x9a580fa4, 0x577dfd39, 0x5331861d, 0xf1351544,
+    0x08eaf4e2, 0x94ebb883, 0x4c2d9ab8, 0x74375428, 0x45a11632, 0xfb130cf8, 0xd26cc99b, 0x272317b2,
+    0x5d2a1485, 0xc3b85ade, 0x55ca9d14, 0x2e08a81b, 0x72e1b9ba, 0xc4b779a3, 0x3d48d648, 0x6469ace7,
+    0x103896b5, 0x75460a76, 0x59405d4e, 0xbd8147c3, 0x88d1a0ad, 0x4e6f3665, 0xb76ea829, 0x4952fe66,
+    0x2658aa44, 0xede2ff05, 0x501992c8, 0x3575df6e, 0x26b575c0, 0x3e9da1f8, 0x84ffdd77, 0x24264866,
+    0xf7264120, 0x1bc55a0e, 0x67a97de5, 0x7dbc2988, 0x7d92f519, 0x624c53e8, 0x5a3ed326, 0xfa9f53df,
+    0xeeeb6c73, 0x38835d94, 0xacb2a968, 0xf2eb96c0, 0x637173a2, 0x49740a9f, 0x3d895266, 0xbebf8846,
+    0x5e81b23d, 0x88269c75, 0x428a91c1, 0xde557b00, 0x40680bbf, 0xc17001a0, 0x359b070d, 0x22a66149,
+    0x13f4b4d2, 0x1d91f00c, 0xf5b03765, 0x65e593b6, 0x8a43e576, 0x01d9cf0d, 0x311c33e2, 0x4b1cd083,
+    0x1523e585, 0x2159ba5d, 0xb6a9323a, 0x88647bb8, 0x682fcf20, 0x30313e77, 0x6a19e9d6, 0xc15aa897,
+    0xcfecb247, 0x791306bf, 0x1ed59a00, 0x0cf71b47, 0x220b87bd, 0xafb71701, 0xac3e3eb5, 0xde53e347,
+    0x75befbf2, 0x8d9326c3, 0xd391452e, 0x9ab7ca26, 0x9561f62f, 0xee7b49e3, 0x9e8662e9, 0xb0c4ac6a,
+    0x93e3d397, 0x4e4a54bc, 0xa7406124, 0xb80fe0a1, 0x7e64a5a1, 0xfeffdfec, 0xbcd75a83, 0xbc69bd02,
+    0x2752584b, 0xe2b28736, 0xe04ae2c9, 0xcce386c6, 0x7124f841, 0x25fbeeca, 0xb1f98229, 0xeec8b463,
+    0x4ba61a7c, 0x68615249, 0x60ca7de4, 0x44973981, 0x0b9b030d, 0x4f1a0610, 0x1fc7f3c4, 0x60ab8213,
+    0x36f655de, 0x88e65724, 0xb4ac23aa, 0x3db6f613, 0x28054cbc, 0x4ec45d89, 0x942fa171, 0xcfd697dc,
+    0xf9137b86, 0x988fc3c1, 0x43912526, 0xe424f9f2, 0xaeb24351, 0xdc18b9a2, 0x2eaa639f, 0x02c5d528,
+    0xb532a661, 0x38bf3627, 0x8c32c56f, 0x7fbabaa5, 0xfbee47b3, 0x2453b1bc, 0xafd71b20, 0x6e0a6762,
+    0xab5719d2, 0x4748eaca, 0xbb546e0d, 0x8a025fcb, 0x2ffa4a58, 0x2326e4fa, 0x8c68b5ed, 0xfccf2533,
+    0x9caee848, 0x3232566e, 0x3ef2b89f, 0x2da3ce18, 0xf3ce5c86, 0xd75fe4a4, 0x263ceba8, 0x70d146aa,
+    0x9dbbe1f3, 0x32992213, 0x54ca0d96, 0xe0407ff5, 0xe2cdb66e, 0x19a7d4f9, 0x7dd0d295, 0x42c0fc90,
+    0x391b5e37, 0x2c1c8940, 0x9a057570, 0x8d8f8157, 0x88e8e112, 0x34582337, 0x9fcecdc2, 0x335cd159,
+    0xe89bfea7, 0xd0fbe40d, 0xd036f954, 0xcff49fee, 0x5adfaa8f, 0xdf355d19, 0x9b2f04a9, 0x80438cc4,
+    0x33bd573c, 0x2edd69b2, 0xcdd0954e, 0x23275a3a, 0x6ef83500, 0x162e0757, 0x05e2a182, 0x984eba73,
+    0x6b139fac, 0xff6d0a7a, 0xe53e0a3e, 0xac039212, 0x9abdd532, 0x7d0160d1, 0xdf573af5, 0x425cd192,
+    0xdcf3ec66, 0xadb2a740, 0x7f098df0, 0x4e75add4, 0xcf8aeef9, 0x8f5b6883, 0x5bf2514c, 0xdcbb2f28,
+    0x51c6bea6, 0x28169f5c, 0x51bdfef6, 0x5a6650d0, 0x5dbf3dab, 0x9bc34ea6, 0xc6ebe0f3, 0x5f04df67,
+    0xb96ace5e, 0x37a76ece, 0x63c3847c, 0xa7fea19c, 0x11201e5b, 0x8b4f16c0, 0x2d76b529, 0xb9236493,
+    0xae91105b, 0x2b1d41cc, 0xdb796c64, 0xef523c32, 0x25c768ee, 0xf16927e6, 0x0b496de2, 0x35ba0651,
+    0xb6bf9904, 0x105f7a43, 0xdcfe69c3, 0x031f5a3f, 0x881c99fb, 0x84e636ea, 0x2feab826, 0x5bdf2a1f,
+    0x442621a9, 0xcfcb470f, 0x01d569e4, 0x9683f3b6, 0x28caab9c, 0x85d1a091, 0x05e6e55c, 0x479ffeb8,
+    0x681f8540, 0x1850c895, 0x93f166ec, 0xc75d20ca, 0xba7511d6, 0x6b2c6fde, 0x27343a09, 0x3e44f8a3,
+    0x3dcfbc40, 0x65cd0850, 0x069b67ff, 0xff2d1092, 0x37fd441e, 0x7522cfb7, 0x81d5044b, 0x3d9da48e,
+    0x0d4643a0, 0x59ff65fa, 0xf97ffc81, 0x1efb6e8a, 0x8af8aafb, 0x20377098, 0x16b8324b, 0x8f4fe502,
+    0x0673b7ea, 0x1045b711, 0xf08f67cb, 0x0ce238b3, 0xd7dd36e4, 0x5c520463, 0x95c210bf, 0x6b8b6427,
+    0xd532528e, 0xbc8d0ed2, 0xf47b5493, 0x77e72ef5, 0x46dbdbe1, 0xc5078503, 0x5b213099, 0xc4770e0c,
+    0xaa08fb9f, 0x8540ea8d, 0x3cf30799, 0xdcdc632d, 0x14b9da30, 0x56fba0a3, 0x0d53e26c, 0x81c19b54,
+    0x783bfc8d, 0xec96f159, 0x91dd967e, 0xd72574ba, 0xd1580e8e, 0x161ff4a5, 0x2c0d502a, 0x7046ea7c,
+    0x46e57cf3, 0xd21bacf8, 0x0c66ffa6, 0x1a8236bb, 0x0cc9fc96, 0xa0e0fcae, 0xae387a4e, 0xcdc59933,
+    0x481dbcd6, 0x5c454b08, 0x1a962761, 0xbd6774b9, 0xaf7e19ed, 0xfb30144c, 0xa7dc0f82, 0x72b40268,
+    0x262fe05b, 0x2b119f4e, 0x0b1539f9, 0x89e6a1dd, 0xf8642937, 0x2aac9ab2, 0xb79fb5f3, 0x7e6dd93b,
+    0x6531c935, 0x2cdaeff6, 0x730b06f5, 0xc003c4f7, 0xf9b9e77d, 0x722a3570, 0x3eda260b, 0x163ef170,
+    0x13252331, 0x2f42202e, 0xb26826a2, 0xfa248d36, 0x2eb83199, 0x5a23a832, 0x4918d023, 0x14d6f797,
+    0x468ebb86, 0x835a2101, 0xaac7b9ee, 0xb49f8f37, 0xea57f5db, 0xe8632159, 0x71e6017d, 0x948e107e,
+    0x51279133, 0x482b3011, 0x79b82179, 0x7c8d2769, 0x5535938d, 0x13662ac6, 0xab82447c, 0xe851c67d,
+    0x19379376, 0x3e0f55f0, 0x0e3cc6bd, 0x12e02745, 0xbd3eb1bc, 0x2d42746b, 0x4f967c8a, 0x6ca9e43a,
+    0x75e38b9a, 0x41a68799, 0xfaa36729, 0x3f879136, 0x641c63a8, 0x1579a168, 0x07db7ab5, 0x0782be55,
+    0x82a9d30a, 0x5ba0de52, 0x44d62f7a, 0x9f2ed203, 0xef962fb1, 0x90415462, 0x4d8c48a2, 0x4949a374,
+    0x336eaff2, 0xd1c79c66, 0x05fe89ba, 0x18071018, 0xec59ad2e, 0xb62f9696, 0x367d53c2, 0x96098376,
+    0xef1f1b2d, 0xde380492, 0x70850dad, 0x325d2591, 0xb9ce71f3, 0xcc226539, 0xa81ebfd3, 0xefcd9208,
+    0xe3c7c0c9, 0xb2c25b53, 0xeada3c19, 0x2c012d5d, 0x4c81f3b5, 0x838ee454, 0xfa4845c5, 0x2bd469b8,
+    0xda0daa63, 0x8149d376, 0xcd46cd7b, 0xc2ec6b32, 0x0c9b8280, 0x07cb6f1b, 0xb31d4f47, 0x511b83cf,
+    0x1c46324b, 0xbad52459, 0xe354223d, 0x28b95a0a, 0xea90de2a, 0x9233d9a9, 0x07663805, 0x7e1d8762,
+    0xecf6431d, 0xeb4e5bcf, 0xc2f00fc6, 0xb290bbc3, 0xe9757d4f, 0x8f0e693d, 0xf72ad615, 0x2ea8ae71,
+    0x13b4a9c9, 0x765a7ee1, 0x83eef66c, 0x9480934a, 0x71fb57fa, 0x7d3a3f53, 0x8cb15781, 0xd990ce32,
+    0xb8f1474e, 0xa69a582f, 0x1cd438fb, 0xba600786, 0x64af6d22, 0x1f3e0b28, 0x6ca080b3, 0x17d51175,
+    0x2da8c06f, 0x3d9cb2f4, 0x5a536646, 0x67c3dbc4, 0xd4e49210, 0xd6723835, 0xd0b3f177, 0x95b93e20,
+    0x77a0bd7e, 0xd8957631, 0x9b85314d, 0xb7ee91ca, 0xed72da7e, 0xc52ded1e, 0xea29587e, 0x44d56fdc,
+    0x264c5fab, 0x4f8167ea, 0xb2811f6f, 0xae55a095, 0x05ae0bf1, 0x8ae14d8b, 0xace57433, 0xbbb14272,
+    0xfb811309, 0xf17c54ea, 0x0bcf37ff, 0x19901bbc, 0xb2ce60d9, 0xa44a06fe, 0x03e370fc, 0x70022e81,
+    0x542ecd4d, 0xf2fcca35, 0x222db9c6, 0x28f303d4, 0x846fa854, 0x183bcd9d, 0xd661cb26, 0xf64ceab0,
+    0xcf2d96f2, 0x6632aec1, 0xd1908cf6, 0xab255047, 0x5503093b, 0x14f5cd31, 0x7e3ff8d1, 0x42551c29,
+    0x36640c88, 0x1f2f6956, 0x9437652d, 0x2c8ae000, 0x53e00604, 0x18c119e8, 0x26d0d1c3, 0xa59582b0,
+    0x786d4ea0, 0xf9651504, 0x3119fbc2, 0x821b2166, 0x4bf14503, 0x830335cd, 0xb0f0d552, 0x120b5ebf,
+    0xe8b85284, 0x5fe3c20e, 0x7182e590, 0xdea098f6, 0x1b44f503, 0x438402b4, 0x50745078, 0x1e3c12dc,
+    0x92fb85bf, 0x9265b4b1, 0x851707fc, 0xc8bf7484, 0x71e6a0fe, 0xa3312f6b, 0xda78b107, 0x61102267,
+    0x16000f9c, 0xf9e56a61, 0xed2bc061, 0x4b0a5b0f, 0xdc99e2f4, 0x4616cee5, 0x3553294f, 0x4427b70e,
+    0x23d37202, 0xc88ea6f7, 0x540ecc1d, 0xb9ba441f, 0x334ffb82, 0x909c69e1, 0xe21540ca, 0x2bdb9b94,
+    0x6a2e30d8, 0xc957d6aa, 0xf45054ec, 0x67555793, 0xd47a2766, 0x346418cb, 0xd12165a6, 0xb4fb1c79,
+    0x55549041, 0x1c59c9e7, 0x2f788667, 0xb174657b, 0xf93fed15, 0x6413e008, 0x44c2141e, 0x972b572e,
+    0x0c357c1f, 0x7919dada, 0xe23a1663, 0xccb1f41b, 0xfaf0ce3c, 0xc32fdd6a, 0x84ec9f1e, 0x78d36a80,
+    0xf9b6a081, 0x82414aa0, 0xe9bffca2, 0x74deaa88, 0x7aedd06d, 0x9170be29, 0x74f527b4, 0x287115b8,
+    0xc9d6eb71, 0xa316ebb7, 0xd1f11720, 0x7b76a730, 0x840b8a26, 0xa3e02261, 0xc6fbc262, 0xf97960e2,
+    0xb885607f, 0x2bf5fafe, 0x7739a6ab, 0x434f6e2d, 0x03665a0a, 0x4dd24225, 0x4b7f2f4c, 0x0d609466,
+    0x2f70d39f, 0xe6cb18fb, 0x08c203f9, 0xc33e855a, 0xb57a3865, 0x0390d783, 0x87463533, 0x1f2b60d5,
+    0x0399dc98, 0x15c9f19b, 0x73390ae9, 0xbab5fa68, 0xa46e657f, 0x53f9cdc5, 0x14d328e4, 0x33b4a851,
+    0xb292d2ac, 0x863d9340, 0xbbf8e159, 0x758fd987, 0xee26de34, 0x3e23e8e9, 0xc973af20, 0xc88b617d,
+    0xdf295360, 0x8eb53053, 0x8bc9e823, 0x763442f7, 0xfca6105b, 0xa436f5b8, 0x53aaa876, 0x8cd3a75f,
+    0x570cbbcb, 0x7594d108, 0x6bab3ce5, 0xda81d11a, 0x23cad7af, 0x7a52ac63, 0x55e3953b, 0xb730e229,
+    0x8d99394e, 0xa697ab64, 0x9ef31844, 0x2133c246, 0x005964f4, 0x62e0751d, 0xc706cbba, 0x27b31afc,
+    0x3afe3eb5, 0x5e50aa9f, 0x0538e376, 0xbb26165d, 0xb92936a8, 0x4f7d525d, 0xa42c6fd1, 0x2636ba90,
+    0xa708b6c5, 0x5de139e3, 0x2af0db08, 0x791ac3df, 0x89bf4739, 0x7cef7364, 0x890423b4, 0xfa165926,
+    0x9d49ab3a, 0x1be0ac54, 0x33ae1c34, 0x6904bfe9, 0x89dd38ec, 0x646c1483, 0x0266f338, 0x56df3299,
+    0xf89f300d, 0xc5505e8a, 0x3c7151f4, 0x2fff132c, 0x66b287c2, 0xc2103602, 0xfc6d2bd4, 0x76b7f421,
+    0x2cf539ad, 0x440e3a1b, 0x3a74d8e8, 0x86f8bd06, 0x0886d3be, 0x3da39bfb, 0xa8623372, 0xc385619c,
+    0xf8216574, 0xd923e3ba, 0x26f91f30, 0xdbcdb807, 0xfc2bfd9d, 0x49c5de13, 0x8a8a7c03, 0xb9ddbea3,
+    0xe4c572f5, 0x554a1beb, 0x75f6eb39, 0xe9a42f16, 0x78a51d10, 0x52173d18, 0xdc8d0a5f, 0x47d95608,
+    0xb8897fe4, 0x25378a78, 0x25b5dac0, 0x2460475b, 0x5db836ff, 0x7df9d761, 0x5988c82e, 0xc6e74fd7,
+    0xd80be813, 0x6636b76a, 0x381aa277, 0x3e1c98f1, 0x6465d07f, 0x03440891, 0xc04aa23e, 0x01514947,
+    0xc9fba8f3, 0xf47d5b7c, 0xd02824c6, 0xce4db85e, 0xf646af3b, 0xe6fd1749, 0x7bc80c12, 0x7af03574,
+    0x7356b458, 0x6c56776c, 0x31ba096b, 0xeb437e93, 0x7d1915f9, 0x796c1346, 0xc0b168a4, 0x4f0b429a,
+    0xa6df3be7, 0xaddab240, 0x705a8e11, 0x8d1a1386, 0x0f2c0bfe, 0x9521c16e, 0x748686ad, 0x62c57799,
+    0x622b3729, 0xc0480e17, 0xb8051508, 0xa5936831, 0xa6492611, 0x1c5f216e, 0x283a6fe7, 0x3d9698f2,
+    0x212a6cf1, 0x33db2ec6, 0x71569e23, 0x885856b2, 0xfbbe9fd1, 0xc12e18ad, 0x3f026107, 0xe0a65c65,
+    0x8930ef10, 0x5e1740da, 0x83612248, 0x57f072f5, 0xe960bc7d, 0xab532149, 0x1591568d, 0x9517f568,
+    0x9865d3e0, 0x353fbc2a, 0x2bf46134, 0x6a2f42e4, 0xe64c0dfb, 0x1778556d, 0xf899b6ed, 0xf68b3870,
+    0x85c04b3d, 0x49a4e11f, 0xa6efd808, 0xb70e5f26, 0xbe791c07, 0xe94bb925, 0x8390e398, 0x56f9dd27,
+    0x2e03db2c, 0x47c4bb85, 0x8e1c0e25, 0xe9076992, 0x5a179ea3, 0x27e63f90, 0x167498c2, 0x1a7ab781,
+    0xc57b1bd3, 0x1312daea, 0xc7ed41b3, 0x05d542fc, 0x95bf0893, 0x137c2b32, 0x5dab71ad, 0x595ab214,
+    0x22352a75, 0x4d56ddae, 0x81f2d136, 0xb4ba1360, 0x17d0a166, 0x630e9f96, 0x8c751142, 0xcda7379d,
+    0x2f9a45e2, 0x5595bcf8, 0x2ed0a742, 0x2473b04a, 0xdaded45f, 0x2f6526b8, 0xef9f1048, 0xc52cda73,
+    0xd35e95f0, 0x437d0662, 0xea0a61f6, 0xc50e79e6, 0x85b87103, 0x3e287777, 0x6c4b69d5, 0x8cba3c2d,
+    0x9128187b, 0x3e09a09b, 0x4bce7581, 0x709217df, 0x91364784, 0x4f5bc5b5, 0x970fba60, 0x06bb32de,
+    0x66a21302, 0xcf080c6a, 0x48d5e7d7, 0xbdc165c8, 0x54a1df7c, 0x373bb63d, 0x734bf0cb, 0x92e60137,
+    0xfb911867, 0xe417136d, 0x685abc02, 0x44aa5937, 0x13802de4, 0x49c7c4c1, 0xd764bd28, 0x1c304bad,
+    0xf6c967ff, 0x06d421e7, 0x1b15507c, 0x1dfb01a2, 0x572d1873, 0x515cdda9, 0xffacaf6b, 0x2ea6ac47,
+    0xa3a81293, 0x4dd00494, 0xc0e3de8d, 0xe39e58cb, 0xb6a36b4c, 0x6118f727, 0x088aed8e, 0x60a453eb,
+    0x6e511d03, 0x4ae8ae54, 0xd7708cf6, 0x8383b26a, 0xe5b4833b, 0x09308aaa, 0xdd7ffc59, 0x7b7cc377,
+    0x3e33633a, 0x43971e85, 0x2bacfa5f, 0xf269996a, 0x76a94c3b, 0xbf0378bc, 0xe9b17357, 0x0eb37d96,
+    0x4a5c968d, 0x18d1fb1d, 0x06f164c3, 0xf2aa5dff, 0x05d93af5, 0xaaf1d36d, 0x69c6e7e9, 0x4b9d20e3,
+    0xb5426bf2, 0x4fcbdab3, 0xbbcef946, 0xd0e74fc1, 0xe3064d26, 0x25d6a3d3, 0xc6a80ec7, 0x59d53ccd,
+    0xc00233cd, 0x60d2d8d5, 0x5d047904, 0x6adbab09, 0xc5cb2412, 0x8bf88e6d, 0x9e751a6a, 0xdd82d17c,
+    0x892c9afe, 0x555e77ed, 0xcbbd63a7, 0x80d2676c, 0x608a3051, 0xc23e08f3, 0x14cb14f9, 0x8174557f,
+    0x00000000,
+    0x4c5f335d, 0x6fefa30f, 0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e,
+    0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000607084\
+                          02882054033466233184588234965832575213720379360039119137804340758912662765568 */
+  { 0x00000000,
+    0x352c1ee4, 0x6acd0fe0, 0x78495e2f, 0x93dac92c, 0x973a8ce6, 0x468047ba, 0x969a2a84, 0xa35437de,
+    0xe80bc299, 0xde0f2d88, 0x38965be4, 0x14d11726, 0xe986f8fb, 0x0e82a6b9, 0x8318d587, 0x3bf91409,
+    0x6eae3b0f, 0xf7932cb5, 0xc64408b9, 0x1d44935a, 0x1158d708, 0x325894d2, 0x91fab2e1, 0x1e3c3480,
+    0x8ee17f70, 0x746c4632, 0xffb507ff, 0xbfdb773b, 0x65a353fd, 0xb9f44580, 0x4b9baca4, 0xed4174be,
+    0x8098bc46, 0x3af3c61f, 0x08049154, 0x71dcfd86, 0x27190df8, 0x74a66f02, 0x8802dac9, 0xca876d4f,
+    0x971461ee, 0x549641f8, 0x82de7e1a, 0x4b133600, 0x4b635d18, 0x01dab882, 0x7a164b90, 0x661b30c8,
+    0x87b7fc83, 0x4e287d91, 0x1fc46587, 0x67baffc2, 0x84399fb0, 0xd44322f2, 0x5a33f7c2, 0x4490545f,
+    0xed2199a2, 0x3ab432eb, 0xafe55783, 0x62abc768, 0x5230028d, 0xa64aeb88, 0x151c5a04, 0xe12f2d59,
+    0x4f7c5229, 0x4eb11a91, 0xc7c2e18b, 0xf9aedee0, 0x8bdb312b, 0x2c7b3044, 0xb0ef7d78, 0xe3d0317d,
+    0x1898c46f, 0x20bdd645, 0x8c33ee12, 0x026041cd, 0x46ced366, 0xa8331c38, 0x665141a5, 0xa7578e2d,
+    0x2010b12e, 0x5583c895, 0xadcbb273, 0xac3abe76, 0xcb35f8f8, 0xf6d3f9d1, 0x2a1ae7fe, 0x14c37420,
+    0xb0bdddd6, 0x246a3995, 0x90a0723c, 0x40ed2b4e, 0x71a866db, 0xbc4d1559, 0xc1b374b2, 0x62ada304,
+    0x68185aab, 0x82723887, 0x262d60f7, 0xb2ef0721, 0x4431c8a9, 0x700ae9e7, 0xdd42c573, 0xec5f6771,
+    0x8d5ef27f, 0xc5e8e00e, 0x2bc56c1c, 0xff395442, 0x2aefb37f, 0xfb7d859b, 0x5baf9fb2, 0x2a789736,
+    0x849b6227, 0x5d8c622b, 0x184d8c0e, 0x29dc1d1a, 0x4d98d27d, 0x04c7cef1, 0x554a8a5a, 0x83ceb146,
+    0x570734aa, 0xba870bbe, 0x78684b40, 0x5bd07b47, 0xdbce3293, 0x71439e3e, 0x34503491, 0xd2e00430,
+    0x0a453bf4, 0xb3db3326, 0xf068b70b, 0x065b4ff1, 0x8e9bc8e9, 0x27097dd4, 0xf293c9df, 0xc2d2db6a,
+    0x1988c439, 0x4995d7da, 0x89b0125a, 0x2606af12, 0xd4180109, 0xe6d356ae, 0x361e76be, 0x8bcb8406,
+    0xd882f015, 0x982211f2, 0xd7dd9ebf, 0x751ead99, 0x754efb1a, 0xd1678a11, 0xa4d8e4c2, 0xf34a8f39,
+    0x61e9a237, 0x248880f1, 0x75695398, 0x72a2a6c8, 0xa7ed72cf, 0xe550278b, 0x277979f2, 0x2c7c5c9b,
+    0x4b5f16b6, 0x0eae6d74, 0x0467460a, 0x2c501eb7, 0x428ae62c, 0x9606b61e, 0x5f09632e, 0x564227f5,
+    0x498bafbe, 0x8dae5a78, 0xf61f7c14, 0x6b556cd9, 0x7ce8ac07, 0x6bcccb51, 0xbcf2cfd1, 0x5ad765f6,
+    0x0f20480f, 0xd0347323, 0xadda0e40, 0x13241e74, 0x56e80c36, 0x079f2003, 0xd4624fbc, 0x3a77538a,
+    0x1101e148, 0x0a632909, 0x8e917c99, 0x2771c8a0, 0xbe9df7d3, 0x8f474468, 0x7acdf295, 0x23a5f55c,
+    0xa067727c, 0x5e1f452b, 0x6169b110, 0xc184078e, 0xa12b4538, 0x4fa2c404, 0x62bedc5f, 0x84f1007d,
+    0xfa202128, 0x13c306eb, 0xe42543c2, 0x856205a3, 0x0475fe98, 0x5f8284a0, 0xdc42b632, 0x7c39df5d,
+    0xde50eebf, 0x7fd62081, 0xa680828e, 0x80fa3bd1, 0x9c786faf, 0xe0b32fbc, 0x58a5b850, 0xc8e85a7e,
+    0x7bdeb65b, 0xc6b7fc7d, 0x4dd16a5f, 0x009f2a8a, 0xfec80be8, 0x9d83e74e, 0x7fe63d3c, 0x7eece62a,
+    0x5cb3da37, 0x5c3813de, 0x31ebc8a3, 0x7b60000f, 0x1feb9da1, 0x1d4a029c, 0x7442c0bf, 0x69d6a124,
+    0x04c6ffbb, 0xe87a3f91, 0xeb62a952, 0xb4523860, 0x3f58c4be, 0xf408d644, 0xae48fa80, 0x2bb75121,
+    0x3bfaddec, 0xd2d20943, 0x3a83b67e, 0x48fde8b2, 0xc5a54a5c, 0x6b4866d1, 0xdd811d55, 0x363dc62f,
+    0xd4886c12, 0x8fdfdc2c, 0xd180aab9, 0x5ba3ce49, 0x854656b7, 0x20c35547, 0x9ff48ac0, 0x980f81e0,
+    0x9cd0925f, 0x9cfdc160, 0xd3c95948, 0xfc187302, 0x92132697, 0x0c0224f8, 0xee4832c5, 0x74f4de96,
+    0x2dba8cb3, 0x4c499153, 0xdcd1b4c9, 0x77ac0bbc, 0x49c29b71, 0xf03c3e57, 0x70c35c43, 0xb9ca20f4,
+    0xd6088084, 0xc4d1265d, 0x8ef6b6ea, 0x229da40d, 0xd6ed9f04, 0x9b5d432a, 0x68a58549, 0xda205040,
+    0x314e3858, 0x3f2afd9d, 0x56d158da, 0xe8e1036d, 0x2ed680b2, 0x71922cb1, 0xf25b20e6, 0x129d7006,
+    0xdc8e2371, 0xa59744f4, 0x3e613046, 0xcfced2af, 0x82099478, 0x87165529, 0x9796570a, 0xe6e4f4ae,
+    0x5f8316d1, 0x5f3bdf50, 0x0179ca2b, 0xd974f7d7, 0x7fa518f0, 0x3461ac24, 0x0e195c4c, 0x7a66cd17,
+    0xa072c541, 0x56cf16f3, 0x165528b7, 0x582b2d1a, 0x8ee01bec, 0x10865594, 0x9fa41fa0, 0xf12a3817,
+    0x63a19167, 0x13a5da0a, 0x9db1b790, 0x467e0798, 0x10a366be, 0x2c848c4a, 0x1148578b, 0x02a48bd0,
+    0xbe7d1e68, 0x72f28ba8, 0xbe0846e2, 0x7a1ea987, 0x0bfed2d6, 0xc3dce4a4, 0x5bf28acb, 0x40b0cc64,
+    0xa6eafd93, 0x828c90f6, 0x1bf9843e, 0xc1b0cd7c, 0xe3b52f36, 0xcd2fad57, 0x5b77267b, 0xdb4ee0b1,
+    0x3cd019a0, 0x64e56d78, 0xb1a47b35, 0x401e8e56, 0x80aa5a11, 0x54fbf9aa, 0x6e4192ea, 0xec2600fd,
+    0xea2a7e61, 0x4c1b4af5, 0x0efa6e27, 0x30efe9a2, 0xa15dd89b, 0xfa527a01, 0x41bc842f, 0x25f8d715,
+    0x0336288e, 0x68dab9c0, 0xc6810eb6, 0x3930ff01, 0x04683d3d, 0x466777df, 0x09d635e1, 0xfff7f6f7,
+    0x1a256a62, 0xee4607f0, 0xb39a7f53, 0x8cc0e49c, 0xe24c335b, 0x78f8ddb7, 0x7c08b4dc, 0xd93975bf,
+    0xb178790a, 0x05150782, 0x2e5cc025, 0x9aaed4f0, 0xb623a93e, 0x1d28f3e3, 0x11a51345, 0x71a59ff3,
+    0x9d21afdd, 0x37509c1d, 0xdbce23f4, 0xdba1248a, 0xcb573f4d, 0xb0534cdd, 0x26801f68, 0xa8df2281,
+    0x19305e36, 0x5fd435f8, 0x5dd31c17, 0x46a5c6fa, 0xca49588a, 0xe1680940, 0x3bf2ae8d, 0xb6597983,
+    0x1f170d30, 0x6acc0f0d, 0x5fc0c3a1, 0x6d1920c5, 0x94abafcb, 0x14ce406e, 0xfabe4975, 0xb42923de,
+    0xe04e65ca, 0xd1f61358, 0x06386325, 0x149e4e6a, 0xf2d4482b, 0x187c765f, 0x465bfd38, 0x7021b516,
+    0xf7d58a1e, 0x78cb4fe7, 0x7365b648, 0xa9f5eafb, 0xac940231, 0x1f533f20, 0xaf60142c, 0x125496de,
+    0xd70f40c8, 0x25388e0f, 0x5e25165c, 0xb6bdaf99, 0x5a19b0e8, 0x7a5004f1, 0xc5142304, 0xf9c75aef,
+    0xa2868e00, 0x8650d948, 0x52bd7194, 0xd18eb5f9, 0x16c81fde, 0x10f7e107, 0xe1680c10, 0x82d3291e,
+    0xe653713e, 0x4dc83bee, 0x9f0e0b63, 0xdc83cfe4, 0x3281aad3, 0x7b55e021, 0x8e4f930b, 0x574d9240,
+    0x51f446ec, 0xf5cbc038, 0x030ffb41, 0xcbd9a4bc, 0xb3c24666, 0xda2014c7, 0xefc9209e, 0x3f0a19e5,
+    0x96319b9a, 0xf025b1e0, 0x5d09c3fa, 0x4d8d65ed, 0x82071992, 0x0ca48c2f, 0x70c4f8e3, 0xac5622bf,
+    0xc4ff32fe, 0x304bc583, 0x1f098e87, 0x2d91af8f, 0xa58c4c4d, 0x17e81ab7, 0xef40958a, 0x59497f1d,
+    0x1ec4c9d9, 0xdb99f805, 0x2b6e1107, 0xb521ff9b, 0x52c315ed, 0xaefeff47, 0xa96e2618, 0x7aacd37a,
+    0xc92f4bd7, 0xf70aa778, 0x4a94e380, 0x52744e6f, 0x11fe0a68, 0x28995a67, 0x59bdde8f, 0xec79acb5,
+    0x8cf7c89b, 0x5d503db9, 0x9a3b0688, 0xef641037, 0xe30011e8, 0xb0d70fd6, 0xc3d2a3c0, 0x69963ee4,
+    0x05b5dea1, 0x6dbacd91, 0x44c46d25, 0xc7eacf81, 0xa565bd35, 0xf999b622, 0x6c74de55, 0x2509a950,
+    0xa6e6e9f6, 0x69b083c5, 0x8d45e760, 0x6356422b, 0x42fc6027, 0x07544c88, 0xae12635d, 0xa77b50f0,
+    0xa340db67, 0x50791f94, 0x4509d39e, 0x3fc19bf8, 0x13e50eaa, 0xf3add701, 0x18ba18ab, 0xfd515854,
+    0x44ca2328, 0x4de8e98f, 0xa4af82e3, 0x579ac9c4, 0x3bb78d49, 0x99fc1d20, 0xde2e5776, 0x9320d249,
+    0xd76468fc, 0x9fe6a78b, 0x24bfbc17, 0xdcb8f225, 0x8b3f7985, 0x73001c0f, 0x1fa133d0, 0xf0e14426,
+    0x2d83ba8e, 0x1b71becd, 0xeb305822, 0xe7414cae, 0x349222f9, 0x257deadc, 0x9df0ebe7, 0x547e3d50,
+    0x48cb0536, 0xcc0d33ca, 0x8fbf83dd, 0xf5da3654, 0x1ebf356a, 0x155730e8, 0x4ae8e052, 0x1c535469,
+    0x7e8f2bd7, 0xb7aa7fad, 0x6952b1af, 0x8f7ea7d3, 0x6b06a274, 0x6527cfd5, 0x98d6b6c3, 0x98a7f141,
+    0x7f7f0151, 0x7522219c, 0x4edbf9c7, 0x1b55902c, 0xf157a825, 0x235d4720, 0x37f6dc9f, 0x5a9a9a1e,
+    0xd19f3b61, 0xb000cccb, 0xe2b2124b, 0xe333cd3c, 0xf7ebe76c, 0xcae572bd, 0x452edf65, 0x7bfdd608,
+    0xc75a4e14, 0xb79d972c, 0x1b6dc5e2, 0x61445d99, 0xa7fb3960, 0xb7379b4c, 0xca0fe153, 0x4205cbb4,
+    0x36e6ddbb, 0xf1850c40, 0xd1cd51ff, 0xfdf0c3b0, 0x8e8584fa, 0x96359dea, 0x16fb8c92, 0x66974d18,
+    0x691c51ad, 0x62c93087, 0xe8eec8ad, 0xa37b63df, 0xed666216, 0xc52041d5, 0x202f8a1a, 0x78983da3,
+    0x6a25f3cb, 0xbde6e62b, 0xfff626f1, 0x0e6f1c5b, 0x78e83624, 0xd4213f45, 0x169b958d, 0xc5e4cc27,
+    0xeb188dc0, 0x15b87729, 0xb24fa463, 0x78fcd426, 0xb88d2bd1, 0x426e37e9, 0xdae4b7a1, 0x132f2f08,
+    0xed79e3e3, 0xc8dc26f0, 0x096e8d8c, 0x7b0b5b27, 0x3e57bd06, 0x3a5915f2, 0x1425a0bd, 0xb78e7daa,
+    0x496c6a68, 0x9b3a8c2f, 0x30d73e39, 0xe635f8d0, 0xf5dd6cc2, 0x948225a1, 0x691ef35d, 0x4a6712b8,
+    0xd53707db, 0xd857bb96, 0xffe4a047, 0x804fb053, 0x109c39ad, 0x572a4cf6, 0x1149d13e, 0x6445cd6e,
+    0x7fde4ee1, 0x65a04a1d, 0x119c4b94, 0xbcddc3e5, 0x5a76da13, 0xfb75d9b0, 0xa6c9458e, 0xb4db6608,
+    0x0b9b2000, 0xee494e4b, 0x5280a7a5, 0x45352eb7, 0x99bd847e, 0x136abe9d, 0x90b98fbc, 0x51012714,
+    0xa503e8ed, 0xdd32b90d, 0x5857d43e, 0x460952cf, 0x6b22388a, 0xcc6a8175, 0x47187cc1, 0x43fc67a7,
+    0x872ca3af, 0x4db09e7a, 0x30d349ca, 0x192c279b, 0xb24558f8, 0xa88e8c0e, 0x23dc3287, 0x175c8ecc,
+    0x2d6560ee, 0x0e9169d6, 0xc2e21635, 0xc48055ba, 0xf8321b45, 0xf0d8d6ab, 0x9a5f7346, 0x7e750f16,
+    0x8ffc46bb, 0x2d221425, 0xbd2cc96a, 0xf8145503, 0x8bb24a12, 0x22cd9efc, 0x51ee5396, 0x2ccad7f5,
+    0xd2fc78a8, 0x224d3b2e, 0x0efac977, 0x4752df18, 0xb68ec3aa, 0xa6980fba, 0x6fb28a21, 0x0b66f7a6,
+    0x997203b7, 0x782982ae, 0xa76d22dc, 0x7b4690a9, 0xe6f807b6, 0xf9cf9f80, 0xa92f0821, 0x3a5de9a8,
+    0xf899c533, 0x9e1bb9cd, 0xe482e4e6, 0x249967b7, 0xe9bbc70d, 0x15a78da2, 0xeaab1c7e, 0xadb2a359,
+    0xad054eae, 0x50234417, 0x34790c88, 0xb79c6422, 0x825d8e1d, 0x447d9151, 0x0ff3a971, 0x6dd82df7,
+    0x77f3829c, 0x15ae9fec, 0xf791071a, 0x48462a21, 0xcf160259, 0xf0777f7d, 0x9e14e365, 0x582a5b36,
+    0x51a70832, 0xf6649d89, 0x9b34fc84, 0x906695cd, 0x7a460cba, 0xa38b3f65, 0x1b67a041, 0x93cccff5,
+    0x62d09e0c, 0xb2819e82, 0x54e393a2, 0x6ec98d76, 0x41651bb0, 0x0fc32ef4, 0x8f373e08, 0x1b32aca5,
+    0x3dfbebd1, 0xc645c621, 0x547b1e93, 0x4f22ba2c, 0x59112837, 0x64a78f90, 0x2e59ca6c, 0xe7e7fe96,
+    0x7b406481, 0x4db7c9cf, 0xd5f5deb2, 0x9a17f311, 0x7901dcd4, 0xd1acced7, 0xe6248e50, 0x78be6b8d,
+    0xbb7b302c, 0x260816a7, 0x98954965, 0xa52747d9, 0x8792450b, 0xb06d2162, 0x3388c1df, 0x5790ab5d,
+    0x96f04446, 0x4c74b6ff, 0x598824b3, 0xf0fb01ef, 0xfadd8438, 0xcc7c0859, 0xfd0e6b06, 0x60f5c540,
+    0x0d9a3f7b, 0xd4a271bb, 0xf5f5f8b0, 0xddd9c700, 0xae612304, 0x408b138a, 0xfc93f3c6, 0xdd13aac3,
+    0xc4e2be49, 0x6be61258, 0xbf73884f, 0xd7957d32, 0x84818d08, 0xf725d28a, 0xc07ca36f, 0xf3105afc,
+    0x7fcae0e6, 0x6d224008, 0xdc9a3057, 0x6b3e4a82, 0xce4c21c3, 0x334ef350, 0x478217d1, 0x3483fc0e,
+    0xe55904c6, 0x01073058, 0xf014a650, 0x87a2d481, 0xfb1ef894, 0xd0fa3ea9, 0xe95596c5, 0xc9b4401a,
+    0x74877579, 0xf1e07144, 0xf9398a84, 0x4c3c0f86, 0x9460f83b, 0xa2a97f7a, 0xae96c9c2, 0xc63f24c6,
+    0xb84e4b85, 0x4a6282f3, 0x1e656cec, 0x5d3c8e6c, 0x97a24b61, 0x5204adb7, 0x5f84c167, 0x40f40f0a,
+    0x2b1b3403, 0xa59d080f, 0x06652ddc, 0xe738a4bb, 0xa1ee9722, 0x5b8d764d, 0x29cf72cf, 0xb03a3d70,
+    0xf1eaec10, 0xfd5a4f7a, 0x74b46a59, 0xa6ac94bc, 0x4116d643, 0x08aadbd3, 0x6006d060, 0x0c60c17c,
+    0xf1c16f5a, 0xdc61c9f6, 0x9bac25f6, 0x018a128c, 0xb67d3654, 0x4cf7cc00, 0x22b6256c, 0xcd68414d,
+    0x5c62e9ac, 0xdec7fb59, 0x7b259d37, 0x855c4fe5, 0xff874b00, 0x26cb52db, 0x53e365c0, 0x5a31fe7b,
+    0xfeb7bf74, 0xa9f72fa6, 0x842dcb1b, 0xd801ed44, 0x47617715, 0x014f8466, 0x39b43d7a, 0x19657fba,
+    0xed52b61d, 0xb1c2e3f9, 0xc99daa62, 0xa775a23d, 0x73eabbca, 0x90cd1e4a, 0xef838520, 0x887a481e,
+    0x85758325, 0xe9bcb403, 0x127f7bed, 0x726065b3, 0x9f2bd7c5, 0x83a43f28, 0xe97e1a6b, 0xe7d75a74,
+    0xe1c99775, 0x47637fdd, 0x042d0593, 0x015ef2b9, 0x04eb2688, 0x87ca2d38, 0x3eb99e59, 0x0b1b099b,
+    0x66c0f6a8, 0x95f10a1f, 0xa58700d9, 0x2f40aeec, 0x42037adf, 0x81bf30d7, 0x420cdc91, 0x1244ac08,
+    0x9b68acab, 0x68742ef6, 0xd1e08362, 0xf9a32926, 0xea4f3921, 0x28aff38b, 0x90a39ce9, 0xfccb0813,
+    0x6618999b, 0x45ebc469, 0x159eb20b, 0x1acf2816, 0x4efed25e, 0x60f09b73, 0xf4e8ced2, 0x5aba1018,
+    0x027cb3de, 0x4e3b17c5, 0xc72d96bd, 0xc4bb368b, 0x3038e045, 0x3f60d0a3, 0x15fe5702, 0x7e52b64d,
+    0x6a1293ce, 0xfbb8f102, 0x89e4b56a, 0x6bc548f6, 0x2c7169a1, 0x2b0fb1c1, 0x6ddc66f4, 0x3cfb91c3,
+    0xac5d8cd8, 0xe113e03f, 0xb5c783ca, 0x7f0604da, 0xacbe9ab8, 0x08a22959, 0xe972f23c, 0xbc947761,
+    0x29be0114, 0x20512000, 0x62931c6b, 0xc70044f6, 0xe26ef42d, 0xe1c955f4, 0x64321040, 0x95f23547,
+    0x944f2919, 0x307d3dac, 0x68c09554, 0xed0d8b6b, 0x2c3c7bc3, 0x84c28738, 0x8649b690, 0xa824219b,
+    0x7f88e8bf, 0xd574e13b, 0x9320e046, 0xc9978bf9, 0x31d2d18d, 0x0f5d1f4d, 0x8c79f2a8, 0x1190c0be,
+    0x21e11277, 0x2568d53a, 0x0dfafdba, 0x119cd108, 0x87864f6a, 0xf1c3c268, 0x6a56ec28, 0xd1b2ec0d,
+    0xd047b051, 0x640af31f, 0x6d1e2481, 0x8f6bb4c0, 0xcd3c0554, 0x367ce506, 0x53d3e2b0, 0x7ad1e267,
+    0x9182fe9e, 0x1c614eed, 0x4ab23f5b, 0xe4b587e7, 0x7d10a4d0, 0x6eeccf8f, 0xc9addf19, 0x9e8b5348,
+    0x4b5c78d7, 0xe0cb16b7, 0x5d9ef86c, 0xac784edb, 0xafc20212, 0x1b4007ef, 0x58111a19, 0x7c1ed5bc,
+    0x1c40ecdc, 0xffee38a6, 0x30e03992, 0x9d43d120, 0x832a2997, 0x3d36a392, 0x490d65c8, 0x27204e38,
+    0x97964eaa, 0x131eb55e, 0xde02f68f, 0xa1243180, 0x53c06d56, 0x1c75ee7e, 0x5823ce14, 0xd594ee44,
+    0x5a09f5e3, 0x0110f0b5, 0xe01e7bb5, 0x76dfe138, 0x9bcb4531, 0xbde09f11, 0xe999bac4, 0x80b9a420,
+    0x00000000,
+    0xa62f99ae, 0x37f7d187, 0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47,
+    0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000303542\
+                          01441027016733116592294117482916287606860189680019559568902170379456331382784 */
+  { 0x00000000,
+    0x247acaeb, 0x4774888b, 0x323ccb41, 0x25891405, 0x69a6eddd, 0xd7473bf4, 0x2b14ea45, 0x52de7f2c,
+    0x2212bbae, 0xeb2e7cdd, 0x235a8942, 0xeeab835d, 0x8be51d4f, 0xe33163f3, 0x2c03418e, 0xb931187c,
+    0x9aca831b, 0xc551cbba, 0xf5175a53, 0xecaa9dd9, 0xa798a0bd, 0x125ef78c, 0x7b89f902, 0xa1f483d6,
+    0x7f66aea5, 0xcc1508b3, 0x9b3b73d8, 0x5feeb33e, 0x4a37bde6, 0xfb531452, 0x12da4f3e, 0xadb9215a,
+    0x5813b6a9, 0x11b9d822, 0xdd2c4695, 0x14197c4c, 0xbc58679c, 0x859acb0c, 0x4e58fd31, 0x8ce2247d,
+    0x13965d1f, 0xa2a4cf24, 0xdee24430, 0xed5fc2ed, 0x39be1863, 0x3bf96947, 0x6f39247b, 0x4ecc02ad,
+    0x511bf148, 0x50e01a55, 0xcbdcaf53, 0x90dde16a, 0x3df5f4a5, 0xf6acabb7, 0xac82d64c, 0xa66f8c7f,
+    0x75c3fdc8, 0x20f94612, 0xefba16d7, 0xf86096c6, 0x6de0d5cd, 0xe8f102d8, 0xb531bc3f, 0x40405808,
+    0xa1b73eb4, 0x534223e4, 0x807bd29c, 0x6350d500, 0x16be9407, 0xd9ce0df2, 0x764a967d, 0x2eebb4f0,
+    0x275ed96c, 0xf5cdd775, 0xcfd1ec4f, 0xfc19073a, 0xcba6efbf, 0x3f9ab3c4, 0x1a00a844, 0x474c8811,
+    0x78a7ae3d, 0x1294659c, 0x0c82ba55, 0x27e27dda, 0xa5840ce2, 0xdc478678, 0x3af7c334, 0x4876090b,
+    0x02d926ed, 0xda2da1db, 0xb466cf81, 0xdd0d9138, 0xef68dd2f, 0xece5e513, 0x116b69d9, 0x40ceccd1,
+    0xa259cd33, 0x4f2660a7, 0xd94b5e0c, 0x7c44f79e, 0x097ee173, 0x3e6ad03e, 0x3c454895, 0xfcfda122,
+    0x8f33f1b6, 0x69a5470e, 0x94bd9e75, 0x8cf940a9, 0xb77d6fac, 0x85cada0c, 0x907f9b2a, 0xfb337189,
+    0xf5b760da, 0x66fa4d6b, 0x990a3d8b, 0x678f4ed0, 0x2098179d, 0xc0c3b1ed, 0x930dc255, 0xe6c457dc,
+    0x77b6bf38, 0xd7ea7f5b, 0x836b7d6c, 0x57e40339, 0xca3da7f2, 0xedf1624c, 0x91f5d976, 0xae0d75f0,
+    0x0c1dfa69, 0x8d9ebe1f, 0xd3a2bb2e, 0x5cbab989, 0x613a57ec, 0x044e94ae, 0x6235fb47, 0xc337cfff,
+    0x404d3c11, 0x6452d418, 0x0ec14697, 0x5e618bde, 0x5f8e9180, 0x4ba7a027, 0xb452339f, 0x6f0fb1f5,
+    0xab843913, 0x5155a66c, 0x34838ee6, 0x70a2bde3, 0xb2c2a577, 0x2c2bcd22, 0x1fd1b5ec, 0x14b51468,
+    0x8408fbfc, 0x4644316d, 0x3fdaf1f3, 0xb81d8af0, 0x5b355e76, 0xd31a9322, 0x2a6f0d16, 0x99fdede8,
+    0x5b0120df, 0x3ee4c36b, 0x6ae658f9, 0x2ab9153f, 0x54593452, 0x25347a66, 0x7cd8c7ca, 0x0546c365,
+    0x693ac8b6, 0x0f595501, 0x7525c546, 0xdf1c4ff1, 0x8e92e3dd, 0x878b910d, 0xd7e85421, 0x70c3d2a6,
+    0x1629d23a, 0xf2c09adf, 0xd8830400, 0x3bc007db, 0xd148fc09, 0x1d082f58, 0x3764870a, 0x6e6792e7,
+    0xa4358b8d, 0x554432a1, 0x18532a28, 0x64315a3c, 0xc3962dd4, 0x092c1e03, 0x3473925a, 0x794d85c5,
+    0xca5380a0, 0xb5288c39, 0xdb9d7a2f, 0x6c5b7206, 0xda3c52d5, 0xb7f79026, 0xaab26f0d, 0xab0139fa,
+    0xb8e4538c, 0x5d24c6dd, 0xb0648146, 0xdc050203, 0x53443bb8, 0x2f392e8f, 0x3774e84d, 0x651f64dc,
+    0x50e461dc, 0xe1983c6f, 0x89151f01, 0xfed2e88f, 0xa5772b4b, 0x36d2f623, 0xca121fb5, 0x1361a993,
+    0x41ab5eaa, 0xd280ca62, 0x7f3a0339, 0x66fd4275, 0xb4d4140d, 0x704923a0, 0x219bc830, 0xd0390dff,
+    0x2f996345, 0x983bb7e8, 0x1e108a39, 0x8dce1a0e, 0x785c9d76, 0x9d68b837, 0xfb66031a, 0x241e5fec,
+    0xdbc3f2be, 0x06e02de7, 0xfa997eaf, 0x42892251, 0x279067ab, 0xd5f4d591, 0x12ac6e89, 0x503d6d4b,
+    0xa9e47f8f, 0x9086e64d, 0xbadf1b5e, 0x266376f7, 0xf8031ce3, 0x6f25bf47, 0xdee6f9d2, 0x95d095d1,
+    0x8724e5b8, 0x1b850303, 0xb902e391, 0x00231fc1, 0xa06b1dc3, 0x7f17c616, 0x0f7c8e72, 0x20cb55e7,
+    0xa9147aa3, 0x6b8ddb04, 0x38331fdf, 0xedb94c20, 0xc04f9f22, 0xd9ac5b1a, 0x289dbf30, 0xc9c4d203,
+    0x17adf9c9, 0x9737d2af, 0xd6a96c43, 0xeefa02ae, 0xecad06e5, 0x1efe319a, 0x8e8e96a6, 0x901c2a23,
+    0xc2b8556c, 0x2911bf18, 0x3bd07d1b, 0x62814d15, 0xdbf028d2, 0x21c2f974, 0x20bdff7a, 0x17a6663d,
+    0xf5334945, 0x39718e12, 0xabcef497, 0xd7e93956, 0x9176774c, 0x2247b019, 0x8acc5003, 0x7d834287,
+    0x36bfaeff, 0x5a775666, 0x47522a3e, 0x9153918a, 0xba91cb25, 0xbde76f6b, 0x5d673f7c, 0x22315c73,
+    0xd7685642, 0x04ad82ce, 0x2ad9b4ef, 0xaaa324d8, 0xcbf3e653, 0x235c3d23, 0x5b2a9127, 0xbb3655c7,
+    0xde269d9f, 0x294d7673, 0xb938baba, 0x2cfe4bbd, 0xd0935ca0, 0x0c75b28b, 0xc02ab2cf, 0x9a3da479,
+    0xf7b73aea, 0x0d6caaec, 0x4f4d2a3e, 0x134a1fde, 0xa9a51ed6, 0x13e46c7b, 0x212c6931, 0x76e31345,
+    0x06054845, 0x246a8c3f, 0xf7b4400d, 0x0a60238e, 0x255d3e1d, 0xd9e48cff, 0xdad5afc2, 0x2b5a9cff,
+    0x038b3ebf, 0xe5c3e59e, 0xf164921f, 0x717668ed, 0xb870ba28, 0x699152a3, 0x55765b99, 0x62d3861f,
+    0x7a097741, 0x9a3a020c, 0x1f5a0b00, 0x59702907, 0x28e9964f, 0x65232fbf, 0x3270c686, 0x09a5b4bc,
+    0x8b246f32, 0xeb03bf6d, 0x24299052, 0x27e5341f, 0x1ad3a164, 0x9707b677, 0x220ab178, 0x0a4903a1,
+    0x3ac5b227, 0x0c9f98e5, 0x5371e26f, 0x9d0d4b40, 0xf280a493, 0xd4919114, 0xe8dc8609, 0x97f078dd,
+    0x1c3df0bc, 0xef54fd71, 0x4eda3ebf, 0xb78e0d46, 0xd9b865c4, 0xe939abfc, 0x1f60c1f9, 0x54b40550,
+    0x1247bdd9, 0x8161f906, 0x0e4a59e4, 0x1a979c74, 0x0b6209ff, 0x6b1c5b8a, 0x5a7c0613, 0x70583886,
+    0xbbade07e, 0x7308c3b2, 0x7cd3d2c2, 0xa9114c8f, 0x61679228, 0x19643196, 0x00484f60, 0x79ae09d6,
+    0xcb317272, 0xae68e285, 0x36e319e7, 0x695b31cf, 0x59cd6968, 0xe5b26105, 0x9ada9989, 0xdd22aaa8,
+    0x79712779, 0xe3e58639, 0xf63393a7, 0x04e778dc, 0xc011c6e4, 0x3b3698f6, 0xaac0d29c, 0x7b3d51b5,
+    0x9698ed70, 0x0258a653, 0xa44d30b7, 0xf1e085ae, 0xf725b59a, 0x44ce1207, 0xae358715, 0xba2e0340,
+    0xa6af387d, 0xb0ce14a6, 0x0374a878, 0x5e5a8c6f, 0xa387723d, 0x34b513a9, 0x4b6a0cc4, 0xe958c7e5,
+    0x9f7616ee, 0x44f705cf, 0xeec20bcb, 0x11ebc696, 0x5d428fd6, 0x0de06420, 0x0d285aee, 0xdb3efcfd,
+    0x17dd020d, 0x4d2b2386, 0x6dd368c1, 0x87c359bb, 0x2fd8c80c, 0xead2d154, 0x77beabc3, 0xfc9e0b68,
+    0xea59532d, 0x68065d4a, 0x372df049, 0x57c7ec9d, 0xc9d5d178, 0x17564bc6, 0x0f1bdde0, 0xbe2a9505,
+    0xf2e110c6, 0x5ff71f64, 0xb82d9b51, 0x5d566bac, 0x60c7c5ae, 0x41f85cf6, 0x7976dca1, 0xfcf17609,
+    0xee703062, 0xdc16a7c4, 0xcff27d12, 0x0a567613, 0xe9adf68e, 0x58ef6e56, 0x06e400c0, 0x87877349,
+    0x3256c486, 0x68404212, 0xf77f6894, 0x9d111793, 0x13988939, 0x65f13ebe, 0x2416a00e, 0xce097069,
+    0xbcb369c9, 0x874753bb, 0xaa8b5e0a, 0xf0aa1aa5, 0x4a2bd0bd, 0xecfb78a7, 0x086c7a9a, 0x5cf7466e,
+    0x927bd86b, 0x3db47f11, 0x38053802, 0xfee33b63, 0xf9a9394b, 0xafabfcb8, 0x55578925, 0xc10cc5ec,
+    0x8899c66b, 0x099240e1, 0xbd61cac3, 0x50b1c022, 0x4d2ac98a, 0x517bf0ca, 0x46f3ec89, 0xdb8324d1,
+    0x810b620b, 0xe4799ec4, 0x94fed993, 0xc48a0eee, 0x5bf2ac75, 0x9cf3f527, 0x9a8d7178, 0xdb224eb8,
+    0x2ca4f0cc, 0xc1ad2331, 0x77cc8dea, 0x884864b5, 0xea3e8e67, 0x168fb11d, 0xd58328ab, 0x562f8eea,
+    0x022b1f10, 0xe4f5bbf3, 0xff033cfd, 0x3d1d75c9, 0x25d642de, 0xed046b0c, 0xde8cc174, 0x20777fc1,
+    0x6d007197, 0x04e9267d, 0x1ff2156c, 0x18d33e91, 0x16444559, 0xfec0cd2c, 0x3ab605cc, 0x3a115187,
+    0x078d28b1, 0x82293657, 0x15c0ab2c, 0x90ccb52c, 0xcf400d12, 0x836de1ec, 0x99ba016a, 0x0caed99a,
+    0x57cfa633, 0x8145e57a, 0x190f0599, 0x0a614383, 0x89604b6b, 0xfe495ea9, 0x69a58acc, 0x21a76fba,
+    0x621adeed, 0x42541382, 0x68180060, 0x66d68a1d, 0x4f5c8b22, 0xd1ed98ed, 0xfa94e21a, 0x3167a152,
+    0xc519c94d, 0x6cfeb8e4, 0x554ca436, 0x63c3ebeb, 0x73521ec0, 0x61941c59, 0xf2b517d1, 0x5c3986bd,
+    0x7d142e06, 0x416db80e, 0x9cf33370, 0xca452816, 0xeb45f82b, 0x4faef98b, 0xfa93fe50, 0x350faf8d,
+    0x1798327f, 0x8c308f8c, 0x047ea119, 0x0225b3da, 0x91c0f96d, 0x2f0a6722, 0x2404cef9, 0x1942182d,
+    0x92e876f6, 0x557e1cee, 0xc588c9dd, 0x5d70b87f, 0xe3a4ba33, 0x10ce1ab6, 0x4775e7cb, 0xd83021f0,
+    0x26caf770, 0xc3aaa51b, 0x6f7728ed, 0x01f529b5, 0x1c90ed9b, 0xbf562e3e, 0x908b492c, 0xb5ea0c83,
+    0xc6708a3b, 0xa055fd0a, 0x2522837a, 0x59acdaf8, 0xa1528482, 0x096b6eb2, 0xd7c0ff17, 0x36226c55,
+    0xd5fe7440, 0x49393cca, 0xb549c1d4, 0x735d82a4, 0x078f2f9a, 0xbda0ef5a, 0xa4b7b53c, 0x43ee1fb6,
+    0xc52b0f89, 0xcef96f89, 0x5e5667af, 0xfb06ec9e, 0x55a488aa, 0xa02727b9, 0xf906f9c8, 0xf313ffcc,
+    0xbe6e0ac8, 0x5673ec3c, 0x36cdccc7, 0x082bb13c, 0xc65ba399, 0xf5a0f6bc, 0xbc4057d5, 0x6d4d24c1,
+    0xb202a969, 0x80a3fe5d, 0x5a4c45bf, 0x380bd107, 0x9c158a9f, 0x77e6ac47, 0x14aa1cc2, 0xcc370b04,
+    0x5da2f9b6, 0xf22c4c74, 0xb2d7a91c, 0xca181a99, 0xb111ebd7, 0x7f7f9d61, 0x5b1e46dd, 0x8ef2d19f,
+    0xedc30f08, 0xa4dbb94f, 0xca0a3196, 0xffb65580, 0xf53fdfd1, 0xf1ddd64d, 0x484e9a4d, 0x143ee0ca,
+    0x769cf366, 0x892e7014, 0x89566bc7, 0x2928e4b8, 0x02dd66f4, 0x63220655, 0x14c125fa, 0xa93d1397,
+    0x31a96866, 0xa5d08b9b, 0x20f777b5, 0x1b981cdc, 0x347c1b07, 0x04ef7034, 0xe6bbfc04, 0x04be1482,
+    0x8df42139, 0x34af136b, 0x65df84e2, 0x6a13fedc, 0x657a5774, 0x8f61a644, 0x4551ec1c, 0xdbb8a9cc,
+    0xff2805b6, 0xf9b39e60, 0x3caf8e1a, 0x7e78ed62, 0x73d93e31, 0xd08eeff1, 0x2455a1b7, 0xb9a9f01c,
+    0xc6cbce18, 0xc1beb6ee, 0x3c2f4469, 0xde555bc0, 0x49ee1681, 0x2f5e1278, 0x4afda41e, 0x5988e06a,
+    0x7cba3e69, 0xeeda3f1f, 0xd7b57c7b, 0x1cc97958, 0xd3681cf3, 0x937709fa, 0x5e5a16e6, 0x29d1caa0,
+    0x06252cea, 0xc392de9e, 0xaacc7d03, 0x55d32cdc, 0xf008b86d, 0x634c1981, 0xf869373c, 0x522fba7c,
+    0x3abf2ffb, 0xdde16ce2, 0x222aec88, 0xd7dc7c99, 0x571a26fa, 0xc6525bd4, 0xd407cb5b, 0x98105a6b,
+    0x0d5f7a51, 0xf76c1200, 0x32a57216, 0x077b95ae, 0x3aeb7a35, 0xbc2c8493, 0x7b37e7f7, 0x3147cbfa,
+    0xa3514c25, 0x619a87b6, 0x801a0c18, 0x8893e116, 0x861a11eb, 0xdfad14b9, 0x013770bb, 0xfdfd54f9,
+    0xd50bd6f1, 0xd7ae4ea6, 0x21fe37b8, 0x3122ce90, 0x174eb1d1, 0x4647b8fd, 0x4fe75194, 0x2edcb1a0,
+    0xa886aa36, 0x68abfb88, 0x21193705, 0x27ef6e8a, 0xc90046f6, 0xf4abdee3, 0x684d072d, 0xc95474b1,
+    0xb7054ba6, 0x57617b74, 0x85db5861, 0xf662bf76, 0xc5d545ce, 0xc975c294, 0x3abe6dd6, 0x62e71cfd,
+    0xfcc7f16c, 0x3ccaf90e, 0xfe200fd4, 0xa920bf60, 0x1f024b29, 0x43d97728, 0x31346acc, 0xc3680587,
+    0x531f4488, 0x970e6661, 0xc0d90fc4, 0x050aa93d, 0x4e63d292, 0x255995b7, 0x5492de17, 0xbcd54db9,
+    0xaa5e5b65, 0xe6b78ee0, 0x607dd186, 0x708c0d32, 0xf0204e2f, 0xc08416aa, 0x2150a708, 0xe9b3e9c4,
+    0x889e9637, 0x7ce9ae06, 0x53b356b2, 0x6da4f1ca, 0x70460de5, 0x3bfd5ceb, 0xd908ea8a, 0xe72dbd32,
+    0xf1a390f3, 0x3eb10039, 0xc3b610a4, 0xe6afa611, 0xbb1d7045, 0x77fa5191, 0xa18771ec, 0x69fb75e1,
+    0x6493b70a, 0xc8b75680, 0x231bcfd3, 0x76ff0c62, 0x3621f1af, 0x537a52c3, 0x2e1280c2, 0xcb37aec3,
+    0xb7f0ba7f, 0xaa91df03, 0x32bb16a0, 0x396ce8d7, 0x7e388bb1, 0x70f4b128, 0x3f2e5783, 0x5a4656ff,
+    0x2f47b098, 0xda1c2ecf, 0xb976d40e, 0x6bab8d55, 0x8c42e1ec, 0xf2416a2a, 0xcf12311d, 0x8ad351a9,
+    0x8e3e857f, 0x4a39bdc8, 0x20ae831c, 0x1cdfbce3, 0x0675b49d, 0xc4f24668, 0x542d47ea, 0x06dab2b3,
+    0x66c5d01c, 0x7b21d672, 0x243d5ef1, 0x85d03be8, 0xa2a97c74, 0xcf5420c3, 0x5c70ed1b, 0x52daf980,
+    0x219d851b, 0xd17f07bc, 0x16668c7d, 0xbb62dd5d, 0x88669716, 0x9ada771d, 0xd5ee0a5a, 0xb2392c71,
+    0xe9e41ca9, 0xbf14dd8a, 0x69e628d0, 0xcb645dfc, 0xf6a7f937, 0x2bddca5d, 0x247cf612, 0xa18a94e6,
+    0xc7748989, 0xef759f2d, 0x24cfe8b9, 0x689dca9c, 0xb54e880a, 0x90f069b1, 0x12ccf202, 0xfabc00ef,
+    0x767c5c50, 0x3b9c0427, 0x15918e3f, 0x3f083bff, 0xa51abd3e, 0x8b462b71, 0xd71df0c7, 0x53e2b564,
+    0xa34aa683, 0xd8ebb2d1, 0x28f428e2, 0x9af1144b, 0x7ec8f33b, 0x39924b8a, 0xcd2dc831, 0x8f5db421,
+    0xbb99045f, 0x54c9b5b0, 0x3e2f6e8d, 0xffe42e82, 0xf75f7c15, 0x60388e92, 0x889ab0bf, 0xf72d8124,
+    0x0d74ce36, 0x5bb73e07, 0x986e2c1b, 0x642c45a8, 0xc7581b8f, 0x9c2c9b8b, 0xc5936741, 0x03b067de,
+    0x6bafc025, 0x45a939ab, 0xe6e160d6, 0x8b297140, 0x9c48dbaa, 0x195d8a49, 0x67c0690a, 0xa2ba3974,
+    0x55c944c3, 0x4fffdac8, 0x552c6fc1, 0x890ba7ba, 0x0871e1b6, 0x8c894b11, 0x50b98d60, 0xb62fce62,
+    0x6f97f8c0, 0x50763ef3, 0x566ce72f, 0x799b6d3f, 0xcc83a97a, 0xa7777400, 0x3950c51f, 0x0e3c86da,
+    0xc30f94a6, 0x42e201b9, 0x603678b6, 0x30c74af7, 0x038b972d, 0x96012e1b, 0x6c53b4ca, 0xb7e7249e,
+    0x90580f53, 0xca3da854, 0x2a34b5ed, 0x8cdb8580, 0x6cea27f0, 0x762b4fba, 0x2421302e, 0x1a0b8acf,
+    0xad92b52f, 0x009fd5cf, 0xece7cc9d, 0x2e78f6d0, 0x2e5cd4ec, 0x686a3e30, 0x2181e8a2, 0x6794bb42,
+    0x101ea363, 0x4d11aca4, 0x0ddbe320, 0xdc633dc2, 0x790e4575, 0x523fbe3e, 0x4933859d, 0x39ec0faa,
+    0x43d2a0c5, 0x07b540e3, 0x32705f95, 0xfd213a5c, 0x91436978, 0x1ee5ef42, 0x5b8d07af, 0x4a562a1e,
+    0xe5f379c0, 0x74aa9510, 0x08fb3017, 0x83ea68a2, 0x415a9916, 0xf4df09f7, 0xf53df281, 0xcf8dd696,
+    0x220c2561, 0xf4cce15e, 0x75fdf5f4, 0x02930b4c, 0x21c922d6, 0x81ec1d04, 0x913b6811, 0xd4439fa9,
+    0x617d0ee4, 0x3add1c56, 0xf8b68ace, 0x02c7a5f7, 0xcfa9f00a, 0x5e988087, 0xc3070270, 0x4e752b8c,
+    0x1204229a, 0x294244fd, 0x0d04934a, 0x41aa0c08, 0xe276f9e4, 0xf05e1f91, 0x6ca85b0d, 0x6a735187,
+    0x32dd04e6, 0xab493fb9, 0xf015dcca, 0x1aa684aa, 0x4be8288f, 0x8d9d19c9, 0x69cee8c4, 0xbc65342e,
+    0xaaf110a2, 0xe91aa3e6, 0xab910df8, 0x077ade5a, 0x5f857083, 0x753a2890, 0x93b30643, 0xc09b07a2,
+    0xb2a3f636, 0xa5a83a61, 0x90ef8e92, 0x0203747f, 0x7c2fe395, 0xeda13993, 0xea5b7821, 0x96b0654c,
+    0x6bc1e8dd, 0x1f68391e, 0x5c23c039, 0x512b419d, 0x814b44db, 0x9662cb18, 0x2f79066a, 0xb5880860,
+    0x00000000,
+    0xd317ccd6, 0x9bfbe8c3, 0x958b724a, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723,
+    0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000151771\
+                          00720513508366558296147058741458143803430094840009779784451085189728165691392 */
+  { 0x00000000,
+    0x6dc4cd93, 0xedee4da5, 0xd0fcc1d0, 0xfef7b313, 0x7dfd4ee3, 0x29219b7d, 0xddbe873f, 0xdb601dd3,
+    0x74f26f8c, 0xea54994b, 0xe0920103, 0xd4d4134c, 0xbabfa01f, 0xd95ff87b, 0xce1456c4, 0x8e44c699,
+    0x9dd47dc9, 0x2c242c4a, 0x095f4dac, 0xb73f0800, 0x6d61e0a6, 0xa684bc5e, 0x4af5e4f0, 0xbdc41028,
+    0xe792bf98, 0x9fb187f9, 0x2db785f1, 0x643b99f4, 0x4a166ddc, 0x3e5529ca, 0x89584126, 0xcf008eba,
+    0xa2fff0d5, 0x5e8e1f14, 0xb884b0b1, 0xc41c3724, 0x59dc5afb, 0x3d42ae72, 0xc31908f6, 0x37bd8239,
+    0xb8ac37ae, 0x35c5e953, 0x40b1317a, 0xa1e65382, 0x21a5367a, 0x7f83bc66, 0xcaaf6439, 0x7a34b3b1,
+    0x9455a18d, 0x70619848, 0xc1b094e5, 0xd54fb996, 0x7b0962e1, 0xde21acad, 0xb41f8f97, 0x5f87ad51,
+    0x0b30fe95, 0xe27f96b1, 0x36849a2e, 0x0f5f5456, 0x091c45be, 0x0eed04d2, 0x0461581f, 0x0a18e154,
+    0x38d03326, 0xe0a2028a, 0x34784d4e, 0x2d32eb3b, 0xaac0ede7, 0x5196d07a, 0xdcb27bda, 0x5d35a07b,
+    0x0de0a4ab, 0x358c2a08, 0x569df941, 0xdc540930, 0x8685ecc6, 0xa8a34d7c, 0x1d589c28, 0xb8efa3f9,
+    0xad209627, 0x5fefff84, 0x284a407b, 0x9c642908, 0x63eb51a6, 0xbc350f4e, 0x178d8fd6, 0x6d25c0cc,
+    0x649a3f2f, 0x4f40960f, 0x2e45db56, 0x13b186c9, 0x21444da5, 0x70a03a02, 0x9cd4208e, 0xb08a0a04,
+    0x75271687, 0x5b91eb1a, 0x8429ab37, 0x7a8070a1, 0xa99a48c5, 0xbde02568, 0x9c829a22, 0xd14eedb2,
+    0xb35365c4, 0x9003d119, 0x21c99998, 0xc9762b7b, 0xb6b9f512, 0x8cb3f276, 0xc2ba1904, 0x3e83a572,
+    0xde15b46f, 0xec9bd700, 0x0d02a0bc, 0xd2626c0b, 0x147ab31a, 0xefffb220, 0xfd62232f, 0x19bae444,
+    0xc7cb748a, 0x30ff35c9, 0x2c8475c2, 0xee6a3186, 0xd94178fa, 0xcbcefa2a, 0x09735ba6, 0x43982fc7,
+    0xb53ee3b7, 0xd9664d92, 0x477b028c, 0x8383f41e, 0xb5073b95, 0x039fb4bc, 0x5c0b6e8f, 0x640db955,
+    0x9db5140e, 0x90d5a4cc, 0x65c564b6, 0xa6b26201, 0xf22a3bd8, 0x2d0a3242, 0x0ed29a8e, 0xd044bb30,
+    0x276515ac, 0x9797b408, 0x38e31595, 0x36d2760d, 0xc08f6fd0, 0x7811cb1c, 0x048ad3df, 0x2aa23136,
+    0xfe7b6a62, 0xf060674e, 0x65523ca2, 0x075dbf81, 0x16718cdd, 0x7737f4e0, 0xa2253a08, 0x81dfb280,
+    0x6964955e, 0x3a66b7da, 0x00f1de79, 0xb5bb2ff4, 0x1e587f71, 0x035be9bd, 0x5ca4217f, 0x7943feb5,
+    0x713d6857, 0x12aab6c2, 0xf6b087cc, 0xd1d7c52b, 0xc3d54449, 0xb1675498, 0xcc10a25b, 0x359ce74c,
+    0x12f9ecda, 0x7bb90896, 0xa0dfa3ee, 0x523397cf, 0x6c5673f6, 0x65e48c71, 0x9b4e59da, 0x1865b5f4,
+    0x251193fc, 0xc1d4074f, 0x82f137ce, 0x648720c8, 0xf3af2b44, 0x2519479d, 0x0994c111, 0x47af97c7,
+    0xc37222b6, 0xa88a759f, 0x4ad532cb, 0xf5b5e339, 0x767acd87, 0x288d2e6d, 0xbc1a9115, 0xccaf7112,
+    0x8ab47ce9, 0xb11afa9d, 0x4e2d2fc0, 0x16a73ccf, 0x28ae1980, 0xc52c205a, 0xf409d21a, 0xb765bcee,
+    0xf74c0d4f, 0x761e30f4, 0xf2027dff, 0x6eea99a8, 0x1351eb9c, 0xf1233025, 0xc2dc9128, 0x6010a1fa,
+    0x0827123a, 0xdd1d0f10, 0xc6fdd6d3, 0x7f2190d4, 0x989fc578, 0x9ffc3dff, 0xab8e5dc5, 0xcbadea6c,
+    0xde345fd6, 0x7a5a8231, 0x7c18db46, 0x90621920, 0xe08f6ff8, 0x50da57b9, 0x078c42f4, 0xd32d6249,
+    0x20f0b0a1, 0x8b80bc69, 0x808aa177, 0x7f5f9637, 0xb47b5b65, 0xf240e050, 0x1a1bb829, 0xfc1a3f57,
+    0x6a15a5e3, 0x1f70d297, 0x6d35a1e2, 0x08d627bb, 0x5c95d381, 0xe252977a, 0x91de3b96, 0x3bf6d51b,
+    0xcc985d79, 0x852a3248, 0x9631da28, 0x234ed3c8, 0x6476f0f8, 0xd5c485b8, 0xab65c935, 0xd9ed4943,
+    0xf523d7c6, 0x5d483f38, 0x7d503a68, 0x817f784a, 0xe1922dce, 0xb209f9bf, 0x8eb88b36, 0x103129ae,
+    0x3e31e15a, 0xee877bee, 0xd202b651, 0x552c9e75, 0xf0873f0c, 0xa5c99f1f, 0x40d15fae, 0x9abbda78,
+    0x4d9c0e9b, 0xf57c2401, 0x03570508, 0xa4614770, 0xbdb39f2a, 0xb4921e8c, 0x04724cd5, 0x2de0e505,
+    0x4e67775f, 0xd50e80a5, 0xcca3fb8f, 0x94d85564, 0x6aa68df8, 0x9cb09dd9, 0x10a14b78, 0xd3e665e3,
+    0x9cc82526, 0x794daea0, 0xded1ae47, 0xcb4ce332, 0x7c0f9f1b, 0xebcb2cda, 0x6640a02c, 0x798eeba9,
+    0x86fe0f20, 0xa74fab4e, 0x22cce2a2, 0xa65dd829, 0x71f0e39a, 0xdf563cef, 0x1014a2fa, 0x23c760d9,
+    0xd8a87879, 0x7dd3ce48, 0x11fbcd6e, 0x73b776d7, 0x8d755c5d, 0xe072ca9a, 0x652e5045, 0xfac1a4cc,
+    0x23a798a2, 0x2713b4bd, 0x2ede538e, 0xee47a4a4, 0xe086140c, 0xc5124447, 0xb93aa49e, 0xe1204386,
+    0x4f9495e0, 0xbade5521, 0x3a11316f, 0xd283e281, 0xfb273cbf, 0xf4f9c6ba, 0xd8e74159, 0x205a4a17,
+    0xba13b2d8, 0x9b07f8d5, 0x30219b9d, 0xa9eb0097, 0x04e7b3f6, 0x7f089605, 0xf6446961, 0x01811bfb,
+    0xfd8bdc04, 0xa3670754, 0xa645c28c, 0x810208f7, 0xed6ae6e8, 0x6884a046, 0xfedab3cc, 0x4e7ed477,
+    0x74f38096, 0xabcc8b96, 0x07ef8332, 0xcc084d26, 0xd9599d18, 0x8a22fe92, 0x1f58539e, 0x146a8d75,
+    0x9e23ac5e, 0x8750141c, 0xa4ec96d1, 0xc41f7821, 0xeba9e20e, 0x8b37726d, 0xbbcd734f, 0x6dc06883,
+    0x4cc496d8, 0xf90681ba, 0x99144ab9, 0x8d395102, 0xdb5fed16, 0xea36f7b0, 0xba39dc4f, 0xc8103415,
+    0xc55290e0, 0xe134b47d, 0x7702eaa1, 0x931307ff, 0xbd7abcc2, 0xd2b8205b, 0xa441bc8f, 0xf5918b00,
+    0x65401dcb, 0x73b669a2, 0x7576f1e4, 0xdd5a817c, 0xc6acbb2f, 0x5021e676, 0xdaf435a2, 0x6e4bacae,
+    0x33592bf1, 0x50cc09fa, 0x8b48c211, 0x264ff55e, 0x886d2600, 0xe5a18072, 0x8d6328b4, 0x07636c1f,
+    0x1a82a278, 0x47a64e69, 0x20b2985e, 0xdd894f38, 0x06ab86ba, 0x45f04378, 0x99dd4ac8, 0x7fd8a379,
+    0xb77b9d67, 0x73bfda3b, 0xda94b73d, 0xd61cd05e, 0xf36bbd85, 0x455aa3bd, 0xc6df5473, 0x2dfaa7be,
+    0x76b45317, 0xd9318902, 0xb63df2b0, 0x9ee29e67, 0xd8f70d67, 0xf22611c4, 0x1c60950d, 0x8d221da1,
+    0x51db8af1, 0x8f3bf0c1, 0xeca69d8e, 0xc6e5633a, 0x3dc34f1e, 0x8962b781, 0xc5536f5a, 0xd2c0d5e8,
+    0x615dabee, 0x25406ee2, 0xfb83b619, 0xb0fd5974, 0x543f65c0, 0x20869ea9, 0x69c7b4a4, 0x98dfda13,
+    0xe63d041b, 0x73730f02, 0x2c327a10, 0x1d7e3223, 0xdabcf370, 0x8b00e516, 0xcdf24e4d, 0xd6bdfaeb,
+    0xbc8acbf8, 0x796d3cc2, 0x9a950e4d, 0x59281208, 0xeae8a244, 0x84547a50, 0x5f821714, 0xd882eeef,
+    0xd012d39c, 0xfa766c65, 0xf9ddf2c8, 0x0d07fb0b, 0x7eae2563, 0x8d19874b, 0x9b7c5b47, 0xc7acd088,
+    0x8848f614, 0x3c9f6c14, 0x070868ed, 0xb81b67e0, 0xf6ba43a8, 0x2187de90, 0x3ae15872, 0xcd4c9e2e,
+    0x73aadfbb, 0x5e48d95a, 0xe75e3632, 0x8fe94f61, 0x7e9266fa, 0xd99c86f8, 0x56d38dbd, 0x37e856f7,
+    0x6524d8c2, 0x1aa67f44, 0xfc728615, 0x98ad37dc, 0xe459964e, 0x8bc7a367, 0x669c49fa, 0xc7defa7a,
+    0x5f96a9e4, 0xb27d555d, 0xbb0519ca, 0x4178a9ad, 0x6711c284, 0xad457777, 0x79760471, 0x0eec8e16,
+    0xdec57093, 0x04335ef9, 0xcb6cdac1, 0xed97319f, 0x0cb55695, 0x8c9d68e1, 0xd492eb21, 0xe6acc075,
+    0x1a332584, 0x6b7a5d58, 0x30cf8fa2, 0x88612605, 0x7a9c9314, 0xe3e3e146, 0xc13ead6c, 0xcb6da56f,
+    0x9b223fb0, 0x91da09e1, 0x459542d0, 0xe1f5e130, 0x76bc9975, 0x645f3500, 0xc3bcc316, 0x2153cd9b,
+    0x39127dd1, 0xefea9c9c, 0x1a1d2a08, 0x2ea2746d, 0xad45c352, 0x7fc422a1, 0xf9ef9c81, 0xfb24ed2a,
+    0x5c6a358b, 0x432af915, 0x772f4f16, 0x7d99c1bb, 0x57b3368c, 0x1e455984, 0x1f2602dd, 0xe296fc60,
+    0x38f6b557, 0xe8f05ada, 0xb082499a, 0x2dbad3da, 0xd156b8fe, 0x3d561789, 0x7afa560b, 0xec4d4896,
+    0x9ea5d091, 0x26f36874, 0xe65b0915, 0xa92dd0e0, 0x12329b76, 0x6904eb33, 0x2b1eca66, 0x5abe7fad,
+    0x62279eb7, 0x053523e0, 0x118c7ae0, 0xb189ebaf, 0x465cb7a5, 0x3b0de03c, 0xfca40a4e, 0xc90d0302,
+    0xe65e159e, 0x5889761b, 0x6ac58431, 0x7f06ab2e, 0x8d7a4f1c, 0xf220a012, 0x1f5c3b41, 0xfa193661,
+    0x399cc78e, 0xdb23feaa, 0xf3b5c77c, 0x4e6e4a0f, 0xc84ff75f, 0x524d2465, 0x0a6bd6ce, 0xcbca6415,
+    0x794898b3, 0xd10c01e2, 0x9fd78f2e, 0x1d48e460, 0x014c546e, 0xcb9aeb32, 0x90af0e43, 0x5e8a6453,
+    0xaf55e7d1, 0x98a2ab1e, 0x13b8002b, 0x83016c24, 0xf2d3e836, 0x0a8a371c, 0xd48d53fd, 0x25c4c865,
+    0x8fe2859f, 0x5823ba35, 0x4956f436, 0x7657ac63, 0xd51c41ed, 0xfe02d5e4, 0xffa55c03, 0xf50a4816,
+    0xeee1df1a, 0x89e41a83, 0xd03af6f0, 0x3ba08873, 0x308c93f7, 0x56c69d10, 0x86c2fa11, 0xff915316,
+    0x535822ea, 0xb1c24db2, 0xc04f0e18, 0x330e0312, 0xdd9a23e3, 0x13965fe1, 0x72f9aff9, 0x5f22f189,
+    0x7a197051, 0xd45e4405, 0x284f9189, 0xfc53e6b8, 0xb432812c, 0x0e48b9ee, 0xb5a665dd, 0x1bda3e83,
+    0x8bca004b, 0xf54de81c, 0x8148a6d0, 0x888b1e5b, 0x301a72bb, 0xe47309c8, 0x7d19e409, 0x2d6c0926,
+    0xe248b5c7, 0xe766a986, 0x0aec35bb, 0xc74665c1, 0x18cf0f07, 0x157cb2dd, 0x07ec5530, 0xc95955a0,
+    0xcdd097cd, 0x5dddcd2e, 0xc6d1aa27, 0x8b97552e, 0x0cee6f71, 0xa653f90a, 0x3211265a, 0x8e94827a,
+    0xe50868dd, 0xd8dbc570, 0x22ef68b8, 0xe152311b, 0xf74f1072, 0x67626d78, 0xc567af09, 0xf5418c5e,
+    0xc1fbeea6, 0x1147ecd2, 0xc7036709, 0x319e331f, 0x26244fb9, 0x530618f3, 0xbb691ccc, 0x68eb8f11,
+    0x8772c433, 0x7c577929, 0x4ddc7c8e, 0xc37731eb, 0x874a592c, 0x3f569f54, 0x1a0aa80f, 0x237adf3a,
+    0xffc3fea5, 0xb9543ae1, 0xd187fdd0, 0x0d2a4a2b, 0xabf32d5a, 0x3d50d156, 0xc535d521, 0x8e3ae0a4,
+    0x413d4187, 0x768db5e3, 0x52e0aeb3, 0x03037257, 0xf2a3a1b1, 0x360e8a6f, 0xdf181f4d, 0xa427901b,
+    0xaaf1f751, 0xf4ef5fec, 0x032a1f20, 0xb2fdfeec, 0x6b469ac2, 0x023dcc21, 0x22e95845, 0x32fa4ca2,
+    0xf8775f44, 0x7586db69, 0x1a52531c, 0x60848f9b, 0x49a2af52, 0x8db2c9fd, 0x50b013b8, 0x4d4b0746,
+    0xf8852eef, 0xa680d5f4, 0x71be3110, 0x5a067fdc, 0x5f1c80ec, 0x829fbb48, 0xc92b0a38, 0x64f5b3fd,
+    0x7aa6f139, 0xe6b0f0bf, 0x402a7cc7, 0xdfbd1991, 0xd9fb650d, 0x620d5108, 0xa4e10102, 0xb8411e9c,
+    0x02ac4d95, 0xc77a1652, 0x1ff271c3, 0xdc0e012b, 0xb9614db7, 0xcd761d72, 0xe430ae3c, 0xa629f385,
+    0x5f5e23a8, 0xcc7810ec, 0x5cb93384, 0x1bead7d0, 0x6bc65800, 0x88b86325, 0xbd574f1f, 0xa1185065,
+    0x0125a47a, 0x1e3c8a9c, 0x6fb08fd7, 0x97ec9070, 0xfdf1c5d0, 0x954193b9, 0x758eac83, 0xb4c0cddb,
+    0xe0b3a527, 0xeb508bf0, 0xbcd3e4b3, 0x7ae06b13, 0xf64175a1, 0xa0a8234f, 0x7cf08f41, 0xa67b0963,
+    0x38b0c4c0, 0x86a43140, 0x88bbcf2a, 0x91c9e326, 0x28270e9e, 0x1c83097e, 0xe21e0a40, 0xde7e3a85,
+    0xf1b89ac7, 0x8298d85e, 0xf58ff3bf, 0x64d267a1, 0xa6e0ba8f, 0x2ab6adf8, 0xc8c7434d, 0x80b94347,
+    0x2f162c17, 0x8a103589, 0x6d1671bd, 0x54a77333, 0x1caf1d45, 0x7aa2e418, 0xe5ea9a48, 0x1b3fe6f0,
+    0x36214a36, 0x2fdb7c55, 0x32b8caf9, 0xf16aa2f4, 0xaf72a1a0, 0x3407fde5, 0xe7a94328, 0x982f94a0,
+    0x8a2b76e9, 0x3e1a81b6, 0x77c16777, 0xc431262c, 0xb143a8e8, 0xe2e616a8, 0x775102a0, 0x15bac6b2,
+    0xbac852fb, 0xd8d8bb3a, 0x4115a5a6, 0xdc4bcdea, 0x976bea17, 0xa5c65626, 0x7927581b, 0x1a21ac12,
+    0x2840fe0b, 0xeccb1cda, 0x80395913, 0x9d0025ca, 0x861b25ea, 0x1897a016, 0x49d46882, 0xd3b7d504,
+    0x81c272a9, 0x3a637739, 0xcb5df141, 0x3917cbb6, 0x526c89af, 0x1f3df183, 0x5ab37c6c, 0xe6229d2a,
+    0xc052e238, 0xd5497cdf, 0x27a8f219, 0xfd786943, 0x0c53d3e1, 0xb33e0ef7, 0x5e7f596b, 0x3f009a72,
+    0x3fef4fd1, 0x853fb629, 0x6ff2871f, 0x9fa6fdf0, 0x45962c89, 0xe023ed6a, 0x63258dc4, 0x7359e2af,
+    0xaa0f24b8, 0xd0f7d3a7, 0x3799f5fb, 0x784c8fb4, 0xa49e2f30, 0xf7ca328a, 0x81763077, 0xd648ed0c,
+    0x0ac501f2, 0xe14b65ec, 0xe821e2c4, 0xe60ddcec, 0xf3332a34, 0x78b2deb0, 0x60b9580f, 0x3a099262,
+    0xcb4d52f7, 0xcd34e4e5, 0x38b4d8ec, 0x3e58ca87, 0x6a9332c7, 0xee4a7056, 0xfad13188, 0x3857c576,
+    0x62c2c4e7, 0xb8a8e576, 0x1f01530e, 0x222f9046, 0xca72849f, 0xd3265262, 0xd14cfa80, 0x7defe692,
+    0x37b2a23d, 0x4d64a95c, 0x27f50ede, 0x9da6fc2f, 0x2b7b02b4, 0xa122f0ea, 0xbc2f55d7, 0x15675036,
+    0x5f068bed, 0xed9fce9d, 0x450db191, 0xa8ef7aa7, 0xdd842490, 0xf94bdc43, 0xf81c5c20, 0x96a839fb,
+    0x48bef504, 0xe6ac8ee5, 0xf8a69edd, 0xb86821f6, 0x47acfa77, 0xc3c4dee4, 0x456fa14f, 0xf635a211,
+    0x8af0b8bd, 0x134e54e5, 0xab3ec9e4, 0x41314ff7, 0xd9da22b4, 0x6bc3934c, 0xfe1814fc, 0x7ccea42b,
+    0x4d2a3d28, 0xddd13194, 0xe91d65dc, 0x478ad9cf, 0x21944795, 0x01b953d9, 0x837fc152, 0x539b48b0,
+    0x0cc2608e, 0x2bb4d8ed, 0xe32d5b77, 0xd251fe11, 0x2662398f, 0x269e14cb, 0xca96b44c, 0xc5f726e7,
+    0x371cb18b, 0x4fa6c26f, 0xb0ea8012, 0x371dc021, 0x9dfccf02, 0x5b458cac, 0x5a2454f7, 0x9fd49ff3,
+    0xf44f75f4, 0xb3664e66, 0x2e45af34, 0xb9055185, 0xca5d6061, 0xa5b6189c, 0x68d0eeb5, 0x7c20bd6b,
+    0x0b775db9, 0x5f3f344d, 0xbf985438, 0x5a38c7fa, 0xba0b5d48, 0x3d1ba583, 0x467a4680, 0xc286b489,
+    0x4c0065bc, 0x1620cc6e, 0x536315f2, 0xd0052f53, 0x870e10dc, 0x2dd648a6, 0x576e7605, 0x354bcbcf,
+    0xd35789e9, 0xec5a81d7, 0x7fdda607, 0xc0b29286, 0xf0c09fa5, 0xe4a54193, 0xb84dce52, 0x4b67131d,
+    0x19a52776, 0xab51e3c5, 0x837f1e57, 0x930ed5f2, 0x255ab631, 0x3162cae7, 0xf03d2a02, 0x389ec0a6,
+    0xf6c6b8a7, 0xa1b8de38, 0xc5597137, 0x4f3127d5, 0x36906684, 0x99554da6, 0x9844a841, 0xeef18ce6,
+    0xc1157417, 0xb98107d2, 0x7f4f78ad, 0x3f85e40e, 0xa0d641d7, 0xe00b1259, 0xcce4eed6, 0xa5827990,
+    0x4ae7e194, 0xd034b846, 0x7161c384, 0x46f5f6a6, 0xb6a32ce7, 0x6e4f80b0, 0xf806ce72, 0x824202fe,
+    0xe99faf2c, 0x02556797, 0x131e4bbf, 0xdcd6b3dd, 0xc3d4d470, 0xc170256e, 0x11eaf16b, 0x96f4ceec,
+    0x433670c9, 0x4c21e406, 0x45d23f85, 0xdef87b90, 0xaf1c6de2, 0x6180b6c7, 0x77bdfda6, 0x143cb1e4,
+    0x9acd6ab8, 0x4c2ab1ce, 0xe335b870, 0x484be446, 0xf89b7d3e, 0xb5c51f8d, 0x8495afd4, 0x3e92c895,
+    0x0bb4ce90, 0x5c535cea, 0x9baeebd3, 0xde39a0fa, 0x1b59137d, 0x8b97e41a, 0x93ade0f4, 0xd792dfea,
+    0x00000000,
+    0xe98be66a, 0x4dfdf461, 0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91,
+    0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000075885\
+                          50360256754183279148073529370729071901715047420004889892225542594864082845696 */
+  { 0x00000000,
+    0x92116f4b, 0x2b07b095, 0x75a35112, 0xf93698f1, 0xd18e1606, 0x44b45f1e, 0x7f132f84, 0xdf6985a8,
+    0xc93a453f, 0xd19b4f21, 0x7ceed67d, 0x4f068301, 0x76b29151, 0x6439ff5c, 0xa53482ee, 0xdc024caf,
+    0x3bad3203, 0x2c10b02c, 0xcad89546, 0xa68b7cd1, 0x1bfb1608, 0x5156f4a2, 0xca7eacd1, 0xd525a1ff,
+    0x39583b13, 0x10bdc94b, 0x3ac79616, 0x9b2b7562, 0x65eeda01, 0x5ee9300f, 0x5662c610, 0x93e28611,
+    0x984180c3, 0x4b19b5e6, 0x35740dd6, 0xa93ddcf1, 0xc6ce0eb1, 0x38a672ae, 0x6f83a7ca, 0x33a9b4d8,
+    0x681468ba, 0x09833c2f, 0x30e4517f, 0x61034f90, 0x0ba12120, 0x02f57d21, 0xd63e2ef6, 0xee5f8d6b,
+    0x351900cd, 0x0113b2f8, 0xc3c2c5e7, 0xd0fa0ec5, 0xdf2a5397, 0x1f6cfa6f, 0x28ac81bd, 0x4216a71d,
+    0x960d3c61, 0x5966d008, 0x95e9716a, 0xd78af899, 0x24856d99, 0x0bbe292c, 0x2060edbf, 0x4c823aff,
+    0xbb838c05, 0x8c6a3e51, 0xea23a19a, 0x753c2b69, 0x296d0250, 0x06959720, 0xe9fa7706, 0x49d0fa86,
+    0x4448f606, 0xc42ee082, 0x19c785c6, 0x60ece9d5, 0x4e4c65f4, 0x226eec30, 0xa9ac3588, 0x5e2d6911,
+    0x938b9a94, 0x12d40f34, 0x280656ea, 0x9998dadf, 0x74db46cf, 0x51be6af0, 0x2a1f7ef9, 0x6ed6b96c,
+    0x2290591d, 0x37ab6587, 0x5cec3609, 0x64059dba, 0x91e5fb35, 0x56c99915, 0x89fc4971, 0x34cf30fc,
+    0x75c6658c, 0xef3c515e, 0x7b5ce3b4, 0x0ce98986, 0xea953017, 0x7ae3ff0e, 0xee04c8c1, 0x3db4bb81,
+    0x3a8b3a71, 0x48a34b9a, 0xea584a56, 0xa40ae2fb, 0x13d53067, 0x7dede7b1, 0xd3423469, 0x62c478d9,
+    0x4d10fac3, 0xa0252fb8, 0xb5f0488b, 0x1919e234, 0xa8e4f1ac, 0xee737642, 0x3e77193f, 0x9e65c1a3,
+    0x86df8553, 0xd0da38e6, 0xa1b710f2, 0xab5462b4, 0xc5895301, 0x72d94feb, 0x63946610, 0x815d66f3,
+    0xf314b732, 0xfe9c8cdc, 0x0c5bb532, 0x2a5a515b, 0xd84a7f86, 0x9ceebfab, 0x97cd23a0, 0xa886bc7d,
+    0x68eca390, 0xa4ac95bf, 0x6b69f759, 0xea80ba25, 0x06a61eb3, 0x81eae290, 0x3bba3d05, 0x04b8019a,
+    0xe64c05f0, 0x80307752, 0xae3cc2bb, 0x37403540, 0x53585d0a, 0xafac3d90, 0x1a32ad62, 0x04b60805,
+    0x54e481ea, 0xf635f098, 0x884f8aad, 0xd1cf9a97, 0x9aeb112c, 0xc0b2ab03, 0x672cfa33, 0x279b3766,
+    0x66a2e58e, 0xefbda182, 0x5e1368c8, 0xd4b03e37, 0xf52ed10f, 0xdabbe342, 0xab556d90, 0xbea16c1e,
+    0x61400154, 0x3fb00a23, 0x64738e72, 0x8845a939, 0xbea4411d, 0x8cf20330, 0xa7882e38, 0xbd497ac1,
+    0x306ae941, 0xc01b1b54, 0xf4548ec8, 0x430e6e14, 0xd29ecde6, 0xf6658d46, 0x2e325025, 0x373999e0,
+    0xc31ba9c2, 0xba351cec, 0x875e8253, 0x72e09272, 0xa4f08316, 0xa031c85b, 0x8bdb184c, 0x07db43f8,
+    0xc787afc0, 0xfa99a386, 0x58a67c69, 0x41d5dee8, 0xb5496f0e, 0x2de9732c, 0x2dabc353, 0x1cb22a46,
+    0x882984b6, 0x22c5f623, 0xd1757c76, 0x2ca7fef6, 0x8b497bbc, 0xa7ee4311, 0x444356be, 0xfac71124,
+    0xf0d676ad, 0xe942abc4, 0x3e97019c, 0x52167140, 0x07d2b5c4, 0xba35233b, 0x2f813f01, 0x68ef13ec,
+    0xa67a75ad, 0x480d1f6e, 0x8566aaa5, 0x5eaee126, 0x07703d8f, 0x98e24672, 0x9790e15c, 0x9bc6ff25,
+    0xffa482e2, 0xd816f88e, 0x9d54d1e0, 0x0a8b8e88, 0x3729fa9d, 0x55ad6190, 0x66b40b0b, 0x465e62cc,
+    0x49d6630f, 0x561b0c03, 0x0c87ed4b, 0xb1f955b0, 0x10e6047b, 0xec6cdf1a, 0xea6759a8, 0xa6d6d566,
+    0xd6045f9c, 0xf6336f72, 0x846df9a0, 0xcbfb41fb, 0xde0a378d, 0x8fd445ba, 0xfe70a4da, 0x900266fb,
+    0x7e0e297e, 0xa7579f06, 0xe236835b, 0x60c835ff, 0xfb1eb812, 0xcc19422f, 0x29e6f5f4, 0xfa4f3581,
+    0x20266161, 0x92a1c20b, 0xf81cf838, 0x70253458, 0x765a9fe1, 0x627fcc78, 0x3a6eb4b0, 0xc36b6886,
+    0xb96a0aed, 0x46668698, 0x79c2b576, 0xfc968bd5, 0xbc6fcbe8, 0xe56ce7e2, 0x0c21a230, 0x46fbeff4,
+    0x6ce1e1cb, 0x8a9a61e4, 0xcc85ce33, 0xc5a1f10b, 0x8a1a6896, 0x26427639, 0x7d655531, 0xa52d55f3,
+    0xd3deaa3d, 0xcc1c3fca, 0x4cef9e85, 0xddae4f6e, 0x611df8c8, 0xd6a3d772, 0x501c0677, 0x523e7ba4,
+    0xd811cf02, 0x857ebd3b, 0x7729f7a2, 0x236d62dd, 0xb38df53e, 0x438a1e53, 0xe7ae9715, 0x9be14ed0,
+    0x02e65453, 0x8aed47ba, 0x4c082047, 0x1e291cb6, 0x1ba1d611, 0x84107550, 0xcf1bc066, 0x92c249e3,
+    0xb92bb1db, 0x40eca404, 0x94337e7c, 0xd8efa43f, 0x91c6be50, 0x272370d5, 0x4e0f3664, 0x670f0633,
+    0x72ff46c3, 0x6dd649ea, 0x745e339e, 0xad674355, 0x3af3bddb, 0x2e5bb376, 0xfc1ea593, 0xed733424,
+    0x78b85a35, 0x75f0e256, 0x02b68de2, 0x611030fa, 0x8202cd45, 0xec0187e8, 0x26a9f455, 0xa126d3f8,
+    0x99899376, 0xd391effc, 0xb3d63bec, 0x80080312, 0x78cfd71f, 0xf492d2a0, 0xfec529a9, 0x41674816,
+    0xe15e3cfd, 0x89581432, 0xef6a002a, 0x6d5e6494, 0xb5f94a7e, 0xf6e483fc, 0x2a0323f7, 0x841493b2,
+    0x8f8b40d9, 0xcb6f74a8, 0xe71f9d4f, 0x2abbcda8, 0xc4ae4693, 0xbaad9368, 0x5a6625f3, 0x5883c8c1,
+    0xd62245d0, 0x97a6de3a, 0x387a1caa, 0x67f55dad, 0xaf9d8e8d, 0x0d34b8bf, 0x69f096ca, 0x93942afc,
+    0x88fea24d, 0xe9f5f2cc, 0x3718ab25, 0x53f13f03, 0xc33dbf25, 0x8eefca34, 0x042629f4, 0xcaf8ac4e,
+    0xeff07e67, 0x9ffe1e83, 0x22e9b8ef, 0x4666c667, 0xc3df4236, 0x2b9fae3e, 0x3776fdc1, 0xfd38c608,
+    0x28169a3c, 0x83528b3d, 0x03e71499, 0x7a9d7943, 0xa99e3189, 0xc5552152, 0x56674f24, 0x6fb54a6b,
+    0x45240f03, 0x9cece299, 0xef3b671f, 0x804e49dc, 0x926d6263, 0x17e34c25, 0xa233c82d, 0xcbbb7fc5,
+    0x1a7c2ab2, 0x8f993eab, 0xfb2e9bcd, 0xbc773311, 0x17eeb280, 0x18fcbe4e, 0x4c672261, 0x955d3083,
+    0xc41813ee, 0x5494f64c, 0x4586d2d9, 0x62be7e4d, 0x4fbfd81f, 0xc72e6262, 0xdc4881dd, 0x81281502,
+    0x9898292e, 0xd8e1a994, 0xb68707b0, 0x576ccc42, 0xd03553a7, 0xaa51ddbb, 0x4617d024, 0x47d2365b,
+    0x8dd20e4d, 0xa04ac874, 0xdc75fb84, 0xe35a74dc, 0x1e201f88, 0xd8938fa3, 0xe4a82db7, 0xc4710dfe,
+    0xa4ce0478, 0xb08bd264, 0x8eb2e2c2, 0xecf688bc, 0xd1cc8372, 0xcbb80a5e, 0x019484ab, 0x156ff25f,
+    0x7301c205, 0x4bb5287c, 0x0eaec5d1, 0xdd640c7c, 0xe5923909, 0xba7e393e, 0xa9c96245, 0x0ba42fa0,
+    0x09b4fc22, 0xbe2617a9, 0x346ea67a, 0x7faba823, 0x88bd0b43, 0x521ac4bf, 0x80ddd4cf, 0xa71cd4c0,
+    0x8088e971, 0x79953637, 0x560eb760, 0xbe6c6d24, 0xf13969b4, 0x9c026650, 0x6db9fd98, 0x55d69204,
+    0x2fac3554, 0xdb8b98db, 0xf59fd31f, 0xee94cbae, 0x1f397d30, 0xd819e9c5, 0x86933d9d, 0xb1b80478,
+    0x96b01bf0, 0x767b39de, 0xc7b9dc64, 0xf8dc819b, 0x18a7da7f, 0xf135ae25, 0x4f17f899, 0x75d56d92,
+    0x8f9f26b6, 0x695d4a2e, 0x9a0deb45, 0x7c48cda9, 0xf93172b5, 0x41936f93, 0x60f5d9c8, 0x7fb4f197,
+    0x78a63d03, 0xb746b395, 0x4539e57a, 0x2dff1a5d, 0x25b11d25, 0x4cc71d8c, 0x031531fb, 0x6d98a36f,
+    0xcbe0e9cf, 0xc54c464b, 0xa300d3d1, 0x73eb75db, 0x9db7761c, 0xf2fb2699, 0xebabfaef, 0x47e88d6c,
+    0x348a5c6d, 0x97a8f968, 0x14d5d0c4, 0x6aca715d, 0x70126b08, 0x924e743c, 0x27af1c18, 0x8188844e,
+    0x533aafee, 0xe7ecc8c7, 0x21f51f46, 0x9a69f428, 0xc5fb25b6, 0x9f4ebeb5, 0xe4c6d826, 0xd4226343,
+    0x9da11227, 0x30984db6, 0xb86b34b8, 0xe97ca790, 0xc08e86fe, 0x56a92ec8, 0xa9f09049, 0xc5019fe7,
+    0x1a049381, 0x26d9c6e1, 0x557ad8db, 0x12326a38, 0x76525486, 0x7b9adf9f, 0x42da3561, 0x2feaafc6,
+    0xf0c3beee, 0x31f625b8, 0x30efc49e, 0x8c8cda21, 0xf392185d, 0x11645ab0, 0x8325796d, 0x4d6752fd,
+    0xdb826175, 0x5bdc5787, 0x3117d007, 0xbe4d7fdb, 0x6223f481, 0x7520ae74, 0x0ca8c463, 0x60aee872,
+    0xd6752dbf, 0x7e10781b, 0xff460f58, 0xba5d3973, 0x5a5a0caa, 0x8453aa85, 0xda221bce, 0xef30bf09,
+    0x600731f3, 0xdd854049, 0x4227996b, 0x3c0039ea, 0xb7e126dd, 0xe0e696cb, 0x3984b1b9, 0xe7b2618a,
+    0xfce32ac5, 0x5297e8ea, 0xadec04a9, 0x4cb569cf, 0xb4391410, 0x72533adf, 0x723f201b, 0xc1f148fb,
+    0x4e670464, 0x68d6086b, 0x37b953b8, 0x53dc9802, 0xce12228c, 0x0592888c, 0x5a01ad1f, 0xc6c71004,
+    0xf59a7753, 0x903b0f57, 0x72895ce8, 0x65a27196, 0x710b9a02, 0xc575d8bb, 0xcb8260a5, 0x1b4cd416,
+    0x4a0bea29, 0x6cd168ea, 0x07f371b5, 0xb53fcb58, 0xf578c89a, 0xe6263a94, 0x9c25ffda, 0xafe6e43f,
+    0x4d6f350c, 0x55f618bd, 0xe9caf8c2, 0xa923340c, 0x3f8f9212, 0xb7a571a6, 0x0013d811, 0x7ebabb69,
+    0xe2179be2, 0xee8ba24e, 0xfdca17a7, 0x6fa8bfa9, 0xcce3c0bd, 0xca71548d, 0xd260b7f1, 0xa2c467d2,
+    0x86dec5da, 0xa67fd171, 0x9278b101, 0xb28410b1, 0xbe26a169, 0x4a0ab0f1, 0x596339e2, 0x75c76051,
+    0x0633c54b, 0xe0704353, 0x91cb0778, 0x7454a987, 0x2db1d9e2, 0x2fe7a25d, 0x179af269, 0x5cb892a3,
+    0x27f08ac2, 0x6c2c5c23, 0x3a22d780, 0xd25b1358, 0xfcc39edd, 0x598907cd, 0xa6ab00ac, 0x751e53ef,
+    0x64040f3c, 0x1171a24a, 0x98294518, 0x22ac2c7e, 0x17253c1a, 0x905efff9, 0xd8ee407d, 0xbcb5781c,
+    0x55688255, 0x9ea12c0b, 0x0db3b07c, 0xe111f126, 0xa6fcc786, 0xa06d8bf4, 0x9862f52e, 0x6ae6ff7a,
+    0xa3311099, 0x7cc7a118, 0xb4e344a8, 0xe546e13a, 0x43951b67, 0x751b6026, 0x3034b18c, 0x0886ba07,
+    0xdd24be27, 0x71909a0a, 0x656c75ba, 0x21b31d1c, 0xd1f5f035, 0x6a15680e, 0x8306f9ba, 0xf63ecf60,
+    0xaf644cd5, 0x8215186c, 0x2c4c4b2c, 0xfa66b7d6, 0x6a8aabed, 0xbf5ac6f4, 0x8b412266, 0x82f237d7,
+    0x7c49040f, 0xf748c8e7, 0x9ef14f94, 0x0d3362f3, 0x0cf89e04, 0x36fd90ca, 0xb168db98, 0x909cca67,
+    0x88616326, 0x0826c200, 0xcda4f891, 0x5e5b04b2, 0xef3ec306, 0xb8b0bc48, 0xc734c256, 0x2fef1458,
+    0xaead507e, 0xeea73101, 0xc8c5cf6d, 0x66183e06, 0x696fd77c, 0xbfdc18f1, 0x93f2f582, 0x7f57dfee,
+    0xb9350979, 0x3f54bae6, 0x00556548, 0x0ea4774f, 0xac0a366e, 0x664cf290, 0xa5c3b195, 0xfe0fd1ca,
+    0x66136ef3, 0xe62c10b4, 0x911708d2, 0xf735cdbe, 0x5f737df2, 0x534efc21, 0x98b87be3, 0x122f95f5,
+    0x7ae8f5c1, 0xc145c45b, 0x60591b08, 0x94f97bf8, 0x5bfd38a1, 0xa4af189b, 0x90c53ab3, 0xfd412f16,
+    0x0f1a5d85, 0xa7340c78, 0xdccb993b, 0x743a2353, 0x4e8ab571, 0xae689943, 0xd00d0448, 0x38d120c7,
+    0x1639c310, 0xc1d3ba6e, 0x74c6bf8b, 0x89b1c145, 0xd87a8d49, 0xa2cf9359, 0x53425698, 0xd7ca736f,
+    0x3d427602, 0x4dfe7786, 0x8c85b555, 0xf3d8436a, 0xea6c0449, 0x4db496a9, 0xd9f51358, 0x05317f0a,
+    0x65af5525, 0x8c929331, 0x724caf98, 0x1b28e382, 0x2670e68e, 0x26660026, 0xc57e69cf, 0x45f7c646,
+    0x14ad95d9, 0xf3f23b5c, 0xaab0edd6, 0xdc8c0f8c, 0xdb07eb7f, 0xa3bf97f4, 0xb63e5a99, 0x7fd9cf7d,
+    0x612f7e0f, 0xb25f7846, 0x602424c5, 0xb9b9a24d, 0xef6d2616, 0x36e0531f, 0xa936e926, 0x393f335b,
+    0x26e33841, 0x061562bd, 0xc0b8d500, 0x8bd61322, 0x0634536f, 0x5ea7d909, 0x961f32bb, 0xd03fcd63,
+    0x439de0c7, 0xd65825ed, 0x9b9e7f85, 0x5960b3f4, 0x4ac2fa08, 0xb57a21bb, 0x960ad46d, 0xbb97a659,
+    0x3ef07a2c, 0xd7dbc671, 0x73cf36a9, 0x902c8e98, 0x967e1a82, 0x0aec7f06, 0x408d875d, 0xcd661886,
+    0x321cf365, 0xa6712c59, 0x7fcc3c4a, 0x8b48d9d9, 0x59ff996f, 0xde39e312, 0x9c3a0cac, 0x01c4d913,
+    0x087e8f2f, 0xef4cb1c4, 0x16a9b8b7, 0x018cb3c1, 0x27309739, 0x48ec0557, 0x192b5b07, 0xc503597e,
+    0xd0d9f0a4, 0x26410201, 0xb68aa695, 0xe01e83f4, 0xba92ac82, 0x511fc08e, 0x9209bdd3, 0xdbead873,
+    0xb1b7d3c1, 0xb67fccaf, 0x86ac0212, 0x1c98467b, 0xc0ce97db, 0xb6bca42f, 0x05dd24ee, 0xa1866979,
+    0xf0db5790, 0x9d9ff256, 0x547ec1ae, 0x9b210c05, 0xb028e62b, 0xf3acb28b, 0x853ea0ee, 0xf6562e64,
+    0x67d9882f, 0xd614c4b9, 0x4632a74b, 0x89e06d30, 0xece28f5c, 0x6426868f, 0xa27953b0, 0x7526a60d,
+    0xd4113313, 0x1e74c53b, 0x277deb4a, 0xbcafee64, 0x62f80c0f, 0x33d3b323, 0xec456527, 0x64fc69a4,
+    0x7df4994a, 0x0917d7aa, 0x4022ba82, 0x0bbca049, 0xc392963a, 0xec78fb64, 0xfa018a5b, 0xf0932947,
+    0x21879ca4, 0x6ac6d75d, 0x357910b1, 0x680317ed, 0xfbaf1349, 0x244c3872, 0x0a2e9e74, 0x5f7ee984,
+    0xc540b677, 0xbcc56b53, 0xbcaef679, 0x91d40143, 0x40a52605, 0x110b8e8c, 0xb51596fa, 0xd7ecf78c,
+    0x70277e55, 0x492a77ba, 0x591bab70, 0x13b85a2d, 0x21452a5e, 0xfa354124, 0x241f0d51, 0x81f36bbf,
+    0x064f2c7e, 0x7cd08664, 0x191c667c, 0xb9590cba, 0xbef8812f, 0x192f8024, 0xb5a4bc5f, 0x12b4a846,
+    0x40000f88, 0xe9816af0, 0x0b8cb787, 0xb236e98b, 0xeadb5c62, 0x097d2af7, 0xed95ec5e, 0x57e06864,
+    0x4d9d30e1, 0x188cbc22, 0x0d768e18, 0x60e3b196, 0x01aa6bef, 0x2bef8d3a, 0xd0cbadbb, 0x9c5bebae,
+    0xa4e53499, 0xfa0ec48f, 0x7477397d, 0xe869b3b6, 0xfbd5bbd4, 0xd3e80416, 0x0cfa6219, 0xbf4b6ce3,
+    0xa2a9a4b0, 0x2f141bdc, 0xc72e7805, 0x9fd893e9, 0x9f29fb3a, 0xf50b62f5, 0x33618264, 0x937de829,
+    0x37884613, 0x07fe4b76, 0x1eb8c6c7, 0xdbed73c2, 0x61f67c83, 0x32ee65a0, 0xddb95b6f, 0xbbf4444a,
+    0xdbcc5a5b, 0x634db48b, 0xf7b18346, 0x5ca2e466, 0x1c38a6ae, 0xb0a07b0a, 0xb2a0aa3d, 0xf9e33217,
+    0x4d067601, 0xf4405df3, 0xc671bf9a, 0xd17628ab, 0x861712b0, 0x3d250c59, 0xa99f5cd8, 0x2d14742c,
+    0x1dd8aa39, 0xc050dc35, 0x26d1dfa7, 0x026dec97, 0x576a3ae8, 0xdaa17998, 0xd9493ba5, 0x80ae3099,
+    0x98c2428c, 0xfcf7362e, 0xbcd981fd, 0x1b1cf18f, 0x6ac7fab4, 0x3bb5a8bd, 0x09517fb3, 0xa6a01603,
+    0x83fd4653, 0x5f3eb321, 0xff53372c, 0xf91c034d, 0x76f51bc0, 0x54098cfa, 0xfb21226d, 0x9a2bccc4,
+    0x59e7a9bf, 0xb78450f5, 0xcd3caa23, 0xeeb03791, 0xcf18d584, 0xce4e9d40, 0x2df32a10, 0xd6238f8b,
+    0xc6216881, 0x6c7c78a9, 0xde6f7430, 0x8eeea271, 0xf41ccf44, 0x939cdf8b, 0x1b2f57bf, 0xeba82275,
+    0x0a7b07b6, 0xacdaa9e9, 0x5e0248a4, 0x00d8cd08, 0xb44ae336, 0xaf2703ea, 0x5f4a521f, 0x4c2d912d,
+    0x55af13db, 0x93679485, 0x0fb4a206, 0x8c107042, 0x368fcc39, 0x2c3867bd, 0x3a358b28, 0x58312c55,
+    0x3f2971d0, 0x73b00481, 0x51f76f12, 0xda729ac5, 0xe33e19c2, 0x70b3353b, 0x94306e05, 0xeaeb3af3,
+    0x00000000,
+    0xf4c5f334, 0xa6fefa30, 0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8,
+    0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000037942\
+                          75180128377091639574036764685364535950857523710002444946112771297432041422848 */
+  { 0x00000000,
+    0xe926e15b, 0xdfd6096e, 0xc0321de7, 0x51b25dee, 0x10b549ed, 0x8555320d, 0x910dd0e4, 0x974c40a3,
+    0x6506a768, 0x350798a7, 0xcb16efca, 0x6d150b1d, 0xbfdf8451, 0x2fc2ec02, 0x64099088, 0x032ff912,
+    0xac2f4e2f, 0xdd299ecc, 0x95d729af, 0xbfcfc2a1, 0xbc4c3f8b, 0x4a362d5b, 0x03c8bce5, 0x17519f9b,
+    0x585b83a5, 0x6819990f, 0xbe741c0e, 0x5c76b035, 0x72d22f58, 0xe7faa83d, 0x17dbc2b6, 0xe76f74a7,
+    0x3fd3ff94, 0x0ab37f72, 0xf565dfcd, 0x12c7f87a, 0xe8204470, 0xcfce51f4, 0xa5b83c85, 0x250b209b,
+    0x698bef66, 0xf580902c, 0x88f0d136, 0xf146aefa, 0xa1f3a273, 0x71703f31, 0x15702061, 0x5640c010,
+    0x74ad66a0, 0xde4667fa, 0x972a1aa6, 0x659aeb9f, 0xe4889193, 0xbd0408aa, 0x5ada646f, 0xd9c67892,
+    0xfddd84a5, 0x74b9f9aa, 0x283adc6e, 0x54060621, 0x08385ac1, 0xf73c404d, 0x659441f0, 0x680af5b1,
+    0x0776dc4b, 0x77214ad6, 0xb4f777f0, 0xa32a21b5, 0x1a2a9645, 0x5f6a02e3, 0xf15ba387, 0x73eaf0a6,
+    0x610fd30f, 0x2f308a0c, 0x601e49a3, 0x25506335, 0x2ff7f715, 0x7b5811ca, 0xf63c64e2, 0x0b220ee2,
+    0x341f06fb, 0x15548295, 0x5e1dd17f, 0x83b828a1, 0x89265c5f, 0x4e749e4e, 0x795a159c, 0x9643254f,
+    0x3aa25e67, 0xefe837f9, 0x79e698b2, 0xb54a7678, 0x7f8fa585, 0xea2ea1c2, 0x4db0a3a3, 0x92c491de,
+    0x31c6b282, 0x62ef7b85, 0xc5f7b5d0, 0xe7489162, 0xce6557c9, 0x060296f6, 0x2aee335c, 0xa7f27c81,
+    0x961a359f, 0xbf1ced3a, 0xa0c725f1, 0xf98ac508, 0x090d1ba3, 0x567c6e29, 0x9c3b8b36, 0x2860804b,
+    0xc59aacd5, 0xa6ce346b, 0xfcecf483, 0x22114b3d, 0x55a72e86, 0x33515050, 0x34608209, 0xe2f1b32c,
+    0x75b68c93, 0xa8a035ef, 0xec462aa0, 0xa35ed6b1, 0xc8589545, 0x418f04f4, 0xd445197c, 0x3910039a,
+    0xc02ea1a2, 0x20dfe0f7, 0xe06b5fc4, 0xdae68621, 0xaf02aba6, 0xb3de0d3e, 0x8b0bde74, 0xc7eb992c,
+    0x23e1b8d7, 0xdfcf5088, 0x322ae0c5, 0x22bfce93, 0xa244ede5, 0xccc3e3d6, 0xd2780887, 0x3fbad614,
+    0xd04c7055, 0x90afa49f, 0x0a37d3b0, 0x27a5266d, 0x5ef8155e, 0x404db89f, 0x86cb3a49, 0x11d9ebd3,
+    0x533f6699, 0xcdff03fc, 0xbd346a65, 0xf0270a0a, 0x59f955af, 0x618d1b4a, 0x3fccd190, 0xadbb614e,
+    0x7f41e3c5, 0xd7ee1b98, 0x3aae77c4, 0x17d97369, 0x28be342d, 0x10b63c0a, 0x01fddff6, 0xed11879f,
+    0xc534000d, 0x0bb83dd0, 0xd851bc0e, 0x645ca360, 0xee08c9f8, 0xd3d6ebbb, 0xef092b2a, 0xa451431b,
+    0x7d6242fd, 0xc48764d2, 0x53bf9193, 0xc9afc1b9, 0x7888c9ec, 0xc80524bc, 0x578ba117, 0x925fbbf5,
+    0x1eb25353, 0xb6b33402, 0xbfc58bcb, 0x766830d5, 0x5a3575f6, 0xdfa71945, 0x0b2875da, 0x05afd983,
+    0x9a02c721, 0xa0fdfa67, 0x1876bc0f, 0x394a1887, 0xae97cb38, 0x744e9c7d, 0x690f753c, 0x1684ddf7,
+    0x0dd1ec92, 0xb73eae42, 0xfad3dea4, 0xd06c011e, 0x2e6ef031, 0x4372d317, 0xcc7ef61f, 0x8138c1eb,
+    0x6678f761, 0xe0a03ced, 0x7b6eecf4, 0x99f94166, 0x36d99ef0, 0x5a0251dc, 0x52095285, 0x97cd4e04,
+    0x7fe94dd3, 0x4b2b4dcc, 0x23352336, 0x6ce664fe, 0x6b4fdec1, 0x32fddfd2, 0x7cde0f7d, 0xa372920e,
+    0x227fac22, 0x8c183dec, 0xa9161648, 0x9945ca7c, 0x66aa9900, 0xaf9fc9cf, 0x56736c8f, 0x147cc91f,
+    0x2985c44f, 0x9434f3df, 0xc4d4e2fd, 0x6f91da73, 0x9ed2ea0b, 0xdbfbbc01, 0xbb430ffa, 0x3d9a4676,
+    0xc0e9fc6f, 0x33e0d26e, 0x6adaa1b7, 0x9320ea2e, 0x75a4e96c, 0xc6ab06e9, 0x6396fb42, 0xcc372036,
+    0x9b1ecc1e, 0xd71fe61a, 0x8a722b05, 0x2c2860dd, 0x8250ad4b, 0x152f5387, 0xfbe99fa6, 0x2dc07940,
+    0xe2bc36fa, 0x7f5c0ef7, 0x27e9bdc2, 0x9c0e2d3b, 0x482155e8, 0xe5aadb1e, 0x75e073d8, 0x257f3508,
+    0xd40c24c9, 0x1aeae6f3, 0x1b2bdd5b, 0x8a1648bf, 0x7dcf45e2, 0xe78ab1ed, 0x7450bee6, 0x15e151c7,
+    0xfeb3dec3, 0x1e7a3a0d, 0x07b3a05f, 0xf2df4281, 0xdb88bf8f, 0x059e6c5a, 0x9ff6bb54, 0x51f0c964,
+    0xf2bb6e1e, 0x9df26331, 0xf5f74aa7, 0xe39d907a, 0x8f260817, 0xbddc7ba6, 0x11af3617, 0xb64544d5,
+    0x004fd20f, 0x8b22d938, 0x1bcf6c19, 0x37e990b0, 0x3dcee179, 0x60daf1dd, 0x4e721a5d, 0xbe9d76d2,
+    0x4e9a428a, 0x0a1ad165, 0xde03b89b, 0xdc29697c, 0x5739eff9, 0x21d5368e, 0x833418ba, 0xbd9cd873,
+    0x30b57b90, 0xd94daf36, 0x7e68d3c7, 0xf78876a2, 0xc9194fb5, 0xf8eaf8cb, 0xbc06a08e, 0x41254eba,
+    0x0295dda6, 0x501c10e7, 0xa438caee, 0x6575d943, 0xb2c76666, 0x7e17595f, 0xe930ca4a, 0x4f1d18c3,
+    0x909766d5, 0xbbdda2e6, 0xb50d5d11, 0x7d65dcfa, 0x7249419e, 0xcd71365d, 0x26f3f28a, 0xce5c9221,
+    0xdc434364, 0x800e1b94, 0x1ccb3812, 0xf587f9a8, 0x110b455d, 0x310c6b54, 0x82cf8706, 0xac0e8e30,
+    0x46fb060c, 0xc925a9fa, 0x96663fff, 0xcf7029e9, 0xb38c6311, 0x8d09f032, 0x6b5b0bf2, 0x06a49bcb,
+    0x9dcfe196, 0x56f7597a, 0x61a332a3, 0x5d3fe36f, 0x3dc4908c, 0xeddf6ca8, 0x2e3304ad, 0x8053b537,
+    0x50a10b0a, 0x0f86fea7, 0x5cd829e4, 0x6dc441d3, 0xaca32219, 0x20b89459, 0x07654ecf, 0xb4724c0e,
+    0x9e4008c2, 0xc661bdb1, 0x024e6f51, 0xb8483f1a, 0xa77f9340, 0xbdb3ec67, 0x02eda117, 0x03deb020,
+    0x20df2a8c, 0x12214bff, 0xb5b8e8e0, 0x193e25c0, 0x9fe4724e, 0xd553f796, 0x0c44e0a8, 0x488cb8f6,
+    0x2dc8c265, 0xc3603fe2, 0x74352272, 0x6bd535d1, 0x2f27bc75, 0xff2d2d53, 0xaac78576, 0xbe77207e,
+    0x8dc3845b, 0x692c13cd, 0x19c9ba8d, 0x5590236b, 0x7524fee6, 0xfaedd5dd, 0x7ff7d99f, 0x9b33fa5d,
+    0x06b2f2d1, 0x9a63e248, 0xb2a3a628, 0xe0fbe297, 0x4001b7ba, 0x3f596d53, 0x9c01760b, 0x97dc6621,
+    0x7e7f6224, 0xafaca621, 0xdc0424fc, 0xb9945eca, 0xc3e03a57, 0x6d4055dc, 0x85782e92, 0xeddbf5d1,
+    0x581e288b, 0xda87394f, 0xf0e96ba0, 0xbff37b12, 0x11dcbcf9, 0x9ed46633, 0x52b1855b, 0xb4e2d3da,
+    0x0a78cafb, 0x9ae8e088, 0xfa793c9e, 0x3df0a55c, 0x2e166417, 0x042ccf44, 0x830265ed, 0xe29d35df,
+    0xe4d7f6ac, 0xd430fa66, 0xcf79e8b6, 0x01a87415, 0x59c90623, 0x2937bfeb, 0x4cf63953, 0x5f326bec,
+    0xff7dfde4, 0xb8269b20, 0x89b5038e, 0xe0ecfe0b, 0x4e249a6c, 0x6935fa13, 0x757d28cd, 0xacfbb961,
+    0x393034e0, 0x4a9bac1b, 0x702e13fa, 0x47d8be60, 0xf5dedf3c, 0x57c1a1f9, 0x8a8331ae, 0xd487b562,
+    0xe52480f9, 0x81ff2f54, 0x1b2a0c62, 0xd6345479, 0xa55e2b86, 0x2741c1ef, 0x2ecb63dd, 0xfa664f97,
+    0x8039eb64, 0x87cdf5f4, 0x3501e837, 0x9b91ec30, 0x82775aec, 0xedb2bcd2, 0xdff48855, 0x68aa73b8,
+    0x8b4b1e3a, 0xa10614c9, 0xace8b344, 0xb2e242fe, 0x3ba6e587, 0x35e263d8, 0xae5de0ce, 0xf12a0857,
+    0x3272a15c, 0x9e9b4d2e, 0x43d5e2eb, 0x7713a2b0, 0xd60c62f8, 0x831fd7c9, 0xa4c64f1f, 0xe13c7615,
+    0xd7e425f0, 0x0af34ff4, 0x2f89a97f, 0x895539d8, 0xc3643007, 0x0fb0b420, 0x1bd4cae6, 0x1d461134,
+    0x9850ce2c, 0x844243bc, 0xf62e50d1, 0x9e562e74, 0x10f4d638, 0x18470d37, 0xaca69396, 0xf85936e4,
+    0xfa1e30b6, 0x888216cb, 0x10feadef, 0xee857786, 0xcba2d944, 0xef41281c, 0xfff85b3d, 0x23a8a345,
+    0xf728ebf1, 0x483bf321, 0x6066c4a1, 0x0378dce3, 0x9ec5bbe4, 0x565aa440, 0x9b6de8f7, 0x81c24f26,
+    0xb5f0bca3, 0xaf4cd7d9, 0x84cbddfa, 0x5a14073c, 0xd2856153, 0xc8fdbc35, 0xf009bd6a, 0x8c7548a5,
+    0x5cf38e5c, 0xc4f66c4f, 0x2fa0f302, 0xa919ca78, 0x39b11e78, 0xc8fea645, 0x972071ef, 0x7f0ad32a,
+    0x99d9ab03, 0x32c870c8, 0xecef25c9, 0xca702eb8, 0x7690e7eb, 0xa310b240, 0xc6be4e97, 0x4b95ab89,
+    0xe516e6a1, 0xc65ae844, 0x1d51e4e9, 0x4ad3cfad, 0x82335e48, 0xd230db8d, 0x7c6c41b1, 0xbca5ee65,
+    0x4e346a99, 0x6be7c88b, 0xaf628bdb, 0x1b75abcd, 0xf2a4de5c, 0x3a21ae38, 0xbeae6839, 0xb819199d,
+    0x3630c50e, 0xf09599cc, 0xc768646c, 0x1bb2be2b, 0xc45c3785, 0x4edeb207, 0x333af01d, 0xb0792320,
+    0xe0101739, 0x5cba9ffc, 0xcfe5982f, 0x1dca7154, 0x4838d2a7, 0x9b0374ff, 0x9174b15c, 0xfc2da9ea,
+    0x057b22a9, 0x1a2c86b4, 0x810e5f0b, 0xcb745393, 0x57be3049, 0x8820ae17, 0x6564f0c4, 0x5ce1aec1,
+    0x5ec8d28a, 0xe66b03cf, 0x5e8dc709, 0xb9463922, 0x309e5c98, 0xf296e729, 0x654cd94a, 0x000ef92a,
+    0x6ed62030, 0xfb6d67b6, 0x1defe242, 0xcea95f41, 0xc6cc7690, 0xc52883c9, 0x03fcda0f, 0xa43f764e,
+    0x69bfafea, 0x2c6cc37f, 0x0d658fa8, 0xc137f0be, 0xec030805, 0x69c54b42, 0xdece19a5, 0xd1f50cf4,
+    0xc22f8635, 0x64cbde30, 0xbb0dcc7e, 0x857791bc, 0x663421ec, 0x5b3db094, 0x139848e8, 0xa687095c,
+    0x6c38ddfa, 0xd3c30e16, 0x53667fc1, 0x247a069e, 0x16620d32, 0xfa4a59ac, 0x3156b0a1, 0x04c533a1,
+    0x54ffae40, 0xc40ce2af, 0x2958e74f, 0x17a9bd37, 0xc813e82f, 0x79dfe111, 0x203145ca, 0xbbe5c407,
+    0xdee05a07, 0x01c0c598, 0x16786f00, 0x23c8b1f1, 0xbf524c7c, 0xbb6e4aa7, 0xd857c16a, 0x7e73d646,
+    0x847f697c, 0x5aca3faf, 0x25b0a9e6, 0xf698f228, 0xa6c929c4, 0xf30afcbb, 0x02c12f59, 0xa58924a6,
+    0x214a243b, 0xe5d7b5bb, 0x35e9cfd3, 0x859fce29, 0x957cc357, 0x91b916c6, 0xd4a2a77a, 0x7f1357e7,
+    0x621de1fe, 0x03e26980, 0xe7ef7368, 0xd17e84a2, 0x51e88c63, 0x66916abc, 0xa40246bb, 0x1a3e8137,
+    0xaea9d42a, 0x48b61014, 0xd3d46ccb, 0x8f075fdd, 0x7896c63c, 0x98951132, 0x8132ae46, 0x6e159a90,
+    0xb452bd93, 0x7a535390, 0xa4ff5d7d, 0xaf7ea88d, 0xbc3e63bb, 0xfe2bb98a, 0xe8876b51, 0xf634e27c,
+    0x24b84a5b, 0xe1197ec7, 0xbbbe4b80, 0xf03e6c43, 0xe5f06e8f, 0x14b3ca6d, 0xa3e2fba5, 0xd39962ee,
+    0x35914525, 0xfb6de560, 0xd80ccf8f, 0xdcd5c436, 0xcc27d358, 0x761a5517, 0x1a9bd72f, 0x61fd700f,
+    0x485848ef, 0x6301497a, 0x3554d7e3, 0x3e5a45dd, 0xb1abb766, 0xbeac64c7, 0x98cf11a3, 0x1d79d648,
+    0xda2e2229, 0x338d8928, 0x3ca08dfa, 0x55337aa7, 0x634ed7f3, 0xed5de189, 0x93c8d7c7, 0x1da7c51f,
+    0x50a11b57, 0x5019aa9b, 0x2f212b12, 0xecbda396, 0xab965785, 0xe851fd6a, 0x955ef8dd, 0xeda8831b,
+    0x8a35679f, 0x1cafc623, 0xe6e448d1, 0xe5a7cfc2, 0x8352f905, 0x4b61788d, 0xbb30653a, 0x24c13fd4,
+    0x59778fe4, 0x8fc1b930, 0xf628fcb7, 0x222b15ed, 0xc3b02f32, 0x748850f9, 0xbbebb737, 0xb0135044,
+    0x33624f30, 0x0ef3314e, 0xdfcf1ce1, 0x942456af, 0xdf5c6b17, 0x4734534e, 0x6de42e54, 0x7bd2f481,
+    0x38754ebd, 0xbacdf762, 0x58ee642c, 0xbc7bb6e5, 0x369874c8, 0xbb67a535, 0xd360e5f9, 0xc0345b4b,
+    0xde18a980, 0x49f2105f, 0x4c507e35, 0x94dfc9d7, 0x9681a57f, 0x7d5b3f64, 0x943b8e3c, 0x8e97624f,
+    0xfa90a4e2, 0xcdbf0b24, 0xf4e7b674, 0xac1998dc, 0xd4a81f63, 0x565f9f51, 0xcc975cbd, 0xf70c77e5,
+    0x3df441e5, 0xad977861, 0x908dec44, 0x14dece3e, 0xf34b7de9, 0x6f095962, 0x125d01b1, 0x79089b95,
+    0x8ded0a82, 0x04ba16c5, 0xd9a3d875, 0x14c72a19, 0xaec1c3c4, 0x68419e1f, 0xc160704f, 0x8dc0bba6,
+    0x4c5c14c7, 0xd67a85b9, 0x9ee7c8a8, 0x699b3576, 0xb94bbfca, 0xe64ed22d, 0x81bc50ba, 0x52a7068e,
+    0x3cf74505, 0x5d05719a, 0xf0115ac1, 0x9d9be812, 0x193a32e6, 0xbf7bb97c, 0x8f340032, 0x6b9f0c04,
+    0x6f26d78d, 0xb82f6d51, 0x84b09529, 0xfefcc7e3, 0x107aa2fd, 0xd2314bd4, 0xa7875d66, 0x285d3606,
+    0x0feccb97, 0x4ed39785, 0x06d6487e, 0x1a469b68, 0xd0ec2add, 0x7aaaf61f, 0x75d3ae07, 0x43d9839f,
+    0x90f2edd0, 0xdafe17cd, 0x2281d941, 0x0ba1a04f, 0x42e69c89, 0x9c13c761, 0x3d3e8900, 0x9bb580c5,
+    0xd002daa4, 0x42b9271c, 0x4de5249f, 0xb8efc38d, 0x7c4df069, 0x9e951c96, 0xf5cbbbc9, 0xcaf5637f,
+    0xdeb0dcb5, 0x2e728810, 0xcb895ea4, 0xd1d1c8fd, 0x6af2077a, 0x748b71b0, 0xece51c45, 0x98cddcff,
+    0x31570e5d, 0xe03a5a1b, 0x0c3a8734, 0xe3b09bc0, 0x030107bd, 0x6e211852, 0xbba3f22c, 0x165526a5,
+    0xf8725a09, 0x4d441d0c, 0xbc552b21, 0xe7066ebd, 0x20984244, 0x91b26f0d, 0xd105cf6f, 0x283f71fe,
+    0xa1687ec1, 0x1d4b7118, 0x8443c683, 0xd6e92424, 0x2f308459, 0x7099c244, 0xd7a92158, 0x9447f015,
+    0x83668b16, 0xe5a185a0, 0x0755df0b, 0xf0664f6a, 0x721539ab, 0x340813da, 0xde0681e0, 0xdb05fee3,
+    0x3c7c31cd, 0x646557e6, 0xefdb9152, 0x62697d30, 0xb88aa4d0, 0xeb56317e, 0x74f79055, 0x3a0e190f,
+    0x6fd1dd6f, 0x3e5262cb, 0xc2b9b3e1, 0x01c32664, 0x73dc95d2, 0x87b132ad, 0x24e1efe2, 0xf94306bb,
+    0x793abb1f, 0xa174bafe, 0x284726ce, 0xb2cb2a1c, 0xb2c793d6, 0xfbfc062e, 0x8dd36b4b, 0xbf42e921,
+    0xd9b84f27, 0x8bb0a6a7, 0x7073ee00, 0x9a05b7b4, 0xbe5ce93a, 0xac33904e, 0xf583e4da, 0x6d4298eb,
+    0xa3a9ea13, 0x9b3d1bb7, 0x561f1147, 0xdb97cd8a, 0xe3a9fb9a, 0xe6421d71, 0xbcb45d9c, 0x4e5ac61c,
+    0xd04e764e, 0x336690d5, 0x3fd90a44, 0x91c1d428, 0x982246bc, 0x9fe64243, 0x59af24b9, 0xdf327c12,
+    0x8a207106, 0x1b0709fc, 0xc1afa5e1, 0xbe04ecd9, 0x906993b6, 0x35dc2344, 0x4833aa69, 0xe8aeb692,
+    0x70441a57, 0x3f235810, 0x4f400049, 0xf100bc31, 0xd1a1fb99, 0x427f959b, 0xef19d4d3, 0x94da1e59,
+    0x5b89416a, 0x58c7385c, 0x78e06a16, 0x3ee9b557, 0xc01031f9, 0xd486a0c1, 0x4c1c435c, 0x695bfe77,
+    0xd5cd1dac, 0x4ac94e2d, 0x2ee339d3, 0xda642802, 0x6ebb3512, 0x3d0a72c6, 0x752f3837, 0x5ff77c03,
+    0x389d4d00, 0x7cf466cb, 0xb130c7d3, 0xfb79142c, 0x11bd7d60, 0x09d2dd51, 0xbde41ba4, 0x53197cfe,
+    0x10a475c3, 0x3d156641, 0x616f040a, 0x3bfe1d24, 0xd092b498, 0x3ec42a80, 0x059ff531, 0xdc3426a4,
+    0x3aefb9df, 0xc0a167c1, 0x8b780b2e, 0xa56e9d84, 0x8877d4e1, 0x8584e0d0, 0x2731ec08, 0x378c3f6c,
+    0x5bd25db2, 0xfbd00d9b, 0x66811f13, 0xa121c717, 0xb3d55795, 0xb0366897, 0x17adbd56, 0xc5f08e25,
+    0x245bc8f5, 0xf2e5adb8, 0x0d0c70bd, 0xb91d005b, 0x5f288589, 0x37815b37, 0xa38fe54c, 0xf25444f7,
+    0x4433ab67, 0xf108023a, 0x73680a97, 0x4e8afad9, 0x684a3a6b, 0x79faf6b3, 0x0ddd641c, 0x21e23591,
+    0x27a3ec7c, 0xfd151291, 0x5945cc3c, 0x9e2b06ff, 0x510165cb, 0xde81cc35, 0x86c47802, 0x795c67ef,
+    0x655b75e6, 0x35b2d8cb, 0x137dfe3f, 0x1dcf38fe, 0x6520b0c9, 0xb58a12b0, 0x3bc77f11, 0xf53ba6b0,
+    0x00000000,
+    0x7a62f999, 0x537f7d18, 0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4,
+    0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000018971\
+                          37590064188545819787018382342682267975428761855001222473056385648716020711424 */
+  { 0x00000000,
+    0x8b867bc1, 0x835294ab, 0x1e5e5265, 0x07be8ea5, 0x91c5404a, 0x557ecd12, 0x92c3c824, 0x0d258181,
+    0x1fc0b465, 0x3964681d, 0x9b5479ba, 0x9f9801d0, 0x460bfbc2, 0xcb37829f, 0x711c52f4, 0x7aab7877,
+    0xa32ea26e, 0x1097bb5c, 0x31df27c5, 0x3a3a13ca, 0x48ec124d, 0xf577d72d, 0x36ea9968, 0x36a0d719,
+    0xa6a42f1f, 0x18624ded, 0x5f662888, 0xcc1c10d0, 0xe2d06e7b, 0x867f9d34, 0x7c428956, 0x22a5b143,
+    0x8114ecb0, 0xa06d647f, 0x23e63d83, 0xa39788c9, 0xe590fc68, 0x3f80cfc5, 0xc0c344a4, 0x517a0179,
+    0xa2eaa72c, 0xfcc45732, 0xb1ad8004, 0x076fc656, 0x06205d71, 0x70ee8d80, 0xcdf834e5, 0x6c73483f,
+    0xb4e10534, 0x65ca66c3, 0xc5db0378, 0xc679678d, 0xfeee65f7, 0x33c18c7d, 0xb7fd7f1a, 0x21eb221c,
+    0x13970d73, 0x4e2f401f, 0x176650af, 0x739610d6, 0xd1ac847f, 0x8cc95632, 0x1f6b36e0, 0x91b1aeba,
+    0x9d0297cd, 0xcef63a56, 0x49f4fe5a, 0xd45f6f92, 0x36899bff, 0x48373f99, 0x96e8e5e6, 0xebe16349,
+    0x8644cb8f, 0xe0618d5b, 0xcf5a14ff, 0xfd311ec4, 0x314ca90f, 0xe7eb39c4, 0x509d27ac, 0x368132ed,
+    0x32b24905, 0xc8c775fa, 0x3ace0232, 0x63967cb2, 0x0e45217f, 0x4f814b61, 0xfcf380f8, 0x4f13f9f8,
+    0x255907ae, 0x1929d04e, 0xf781569b, 0xc7ec9d0d, 0xe0d47606, 0x9edc0eda, 0xd4d952a1, 0xd32ebc0f,
+    0x24979d74, 0x482ce6ac, 0x9d8c6c95, 0x93e3e48f, 0x3487012a, 0xb8c9ed9f, 0xe49a90bd, 0x103e1dc6,
+    0x4c0b32ba, 0x0b0eec6a, 0xec9794d5, 0x10624fdf, 0xc6d14690, 0xfbe07f55, 0x7838bb26, 0x4ba670c4,
+    0x327eadd9, 0xf2fc5107, 0xbe44ff0b, 0x84f2d823, 0xe591223f, 0xeb9b0f17, 0xa98fdad8, 0x9f688d5c,
+    0x85e7e1ce, 0x5b941417, 0xc85ba097, 0x209cbbf7, 0x07d5f8ed, 0x111044aa, 0xf7e538de, 0xb2216856,
+    0xb84e9a7f, 0xdc1bbd78, 0x420847d6, 0x032ceb7e, 0xb0a973c7, 0x1d9c49d0, 0xc3622eb7, 0x9f9b370d,
+    0x04332a4b, 0x618907df, 0x40d36faf, 0xfcd47405, 0x0ae208fc, 0xc78bb5e3, 0x21e58f25, 0xf25eafec,
+    0x5c8d0eb9, 0xd7659d83, 0x780a55cb, 0x255a8c9b, 0x548b4b89, 0x1b8a0881, 0x80eb5394, 0x5906cc16,
+    0x566a4afe, 0xb2dff2b9, 0x1e9cf140, 0xe43c21bb, 0x3d12488d, 0x6bb488e6, 0x5ebae9b6, 0x6ce936ac,
+    0x48f1e9fc, 0xf1c4903c, 0xa16684ee, 0xb2528c89, 0xf842cd40, 0x5049f529, 0x93dd24f6, 0x529d84fb,
+    0xfa2de94f, 0xc2ad1f0f, 0x14200d00, 0x3eb339a3, 0x58741106, 0x043a3918, 0x628eec66, 0xb48d34fa,
+    0x197425c1, 0xea5c3ddf, 0x3a1a532e, 0x4d660f66, 0x062154ea, 0x94ce4da9, 0x24bde8a9, 0x9d2feca9,
+    0x2693c73a, 0x971267de, 0x9ea9d879, 0x9e04412d, 0x7bfc5960, 0x0201ca49, 0x1b830841, 0xa2e50140,
+    0x47bae9e3, 0x46d3d2b4, 0x1f4fa96c, 0x87aa74e2, 0x18c07711, 0xc851b053, 0x0fd1e36b, 0xe647fe0e,
+    0x49b3ae20, 0x8ac88603, 0xd0c96929, 0x469df9e8, 0xf884944d, 0x2ddfce10, 0x539f437a, 0x93483d6e,
+    0x855a56df, 0x7d25c835, 0xfeaadd4d, 0x4b10da44, 0x089f5884, 0x17bc33fd, 0xbc2131b0, 0xca70ae1e,
+    0x7af32a9f, 0xc4b2d8a2, 0x3e4c148f, 0x46069393, 0x4fa8dc90, 0xb0debedd, 0xa55b8203, 0x00db9b93,
+    0x0c4a970e, 0x45f230a8, 0xfcfcdf3b, 0x0e0bec56, 0x2925169b, 0xf2f260db, 0x651709bf, 0x6441ed61,
+    0xa6d91893, 0x7a326d4d, 0x1c72ddd5, 0x1942c994, 0x3c83d769, 0x21c66521, 0xcd542101, 0xe30f0083,
+    0x9a89316e, 0x922e5d15, 0xc2f21b8e, 0x2ce5f317, 0xabe0fe09, 0xd04beea6, 0xaedeaf93, 0x707aa6cd,
+    0x07d7405f, 0xa199ae11, 0x25215a6d, 0xf54a02b9, 0xea661f3f, 0xe3fd769e, 0x1382d913, 0x176694df,
+    0x740ee949, 0xac38c849, 0xc16ae57c, 0xf2a6ca52, 0xf7383c02, 0x405011ae, 0x10600997, 0x4c355671,
+    0x94bb6bda, 0xcd7977c0, 0x3efde830, 0xe70dbff8, 0x8591cfce, 0xef286930, 0xeb756bc4, 0x171b0407,
+    0xa6e0fd83, 0x2551b268, 0xdeb2ea9a, 0x3250e4ac, 0x53a9baaf, 0x48dc5210, 0x77d96b50, 0xf7ef7ee6,
+    0x9fc47963, 0x84452750, 0x9d2458a5, 0xc043999e, 0x1b49fa33, 0x7dc6f38a, 0xd3ac3d1b, 0x54dc05c8,
+    0xa6e56718, 0x8b66256b, 0x819c3bb3, 0x5b927cd2, 0x1dab6d2e, 0x76687c97, 0xa84dbfa3, 0x4491667f,
+    0x8e8a63be, 0xc2334ce2, 0xae88b3d6, 0x9df2b2b3, 0x58790a98, 0xc10dfca3, 0x39bb68fe, 0x5efe87d4,
+    0x37cdc635, 0x80ec65cf, 0xcd55034d, 0xe8610b68, 0x12bd7154, 0xa576d5b8, 0x3d1996b1, 0x615e1253,
+    0x79118797, 0x47341a5d, 0x0e5b3115, 0x16106f58, 0xa3513458, 0x60300dde, 0xbde7e7e2, 0x88ab87e3,
+    0xccdf900a, 0xca3a38cf, 0x94fe923c, 0x7bbee266, 0xe3454693, 0x3afe7e59, 0x3947b72f, 0xccbe8edd,
+    0x6d8131c3, 0x6662da23, 0xc7871542, 0x9125d2f8, 0x998d1f30, 0x67f395f3, 0x99a39dff, 0x5d94d14e,
+    0xa78fc73b, 0x4be495c3, 0xc36e24e1, 0xcab2db1a, 0x1cb4eb5f, 0x765bf341, 0x3680027a, 0xbe7433d7,
+    0xe9caeed6, 0x45c5e033, 0xd68ec2c0, 0xc5bf8e2b, 0x85aaa6eb, 0xd52047eb, 0x4f679458, 0xe84ff5ed,
+    0xd5fa39a0, 0xf6e58239, 0x1e1cb725, 0x06695e50, 0x2ef24050, 0x9e3bdba6, 0x8c5818d0, 0x663fb99f,
+    0xaf699519, 0x3228e594, 0xafc5130b, 0x229937be, 0x1431f187, 0xbba7875b, 0x514e1138, 0xfc828431,
+    0x732c9884, 0x3be7545b, 0xf0c60696, 0xa435d25e, 0x8472fc27, 0xca3aebb1, 0x803fb3d9, 0xdb781423,
+    0x47541741, 0xe14f0c73, 0x0551968e, 0x9be9fde7, 0xc261239e, 0xcd400e77, 0x6e54e842, 0xe4a3c06d,
+    0xc85cd63d, 0x1a458daa, 0x28957e33, 0xe3152b8a, 0xdfdf7b4a, 0xb2eed5a3, 0xbb85f88b, 0x3a0b3021,
+    0xe1de3d7d, 0x35c429c8, 0xf99eac90, 0x4ed6ab8a, 0x2060f293, 0x54aacc0f, 0x48f87f8a, 0xd2fdc4d8,
+    0x007301d0, 0xdaaa0ad0, 0x78eb60b0, 0x41a74b4b, 0x3dd55e46, 0x1522bef5, 0x8c8b49bc, 0x9e58596a,
+    0x491ddd4c, 0xebbdadd4, 0x0b469fc4, 0x39a9fa68, 0xdcd760ba, 0x8be368ee, 0x56b1ce01, 0x37ed8358,
+    0xbd9777f7, 0xb0b98714, 0x96e2f103, 0xbb8cd505, 0x7d1c6e9a, 0x2457b04d, 0xb9bb3a62, 0x6a2e064d,
+    0x05680853, 0x0f09b163, 0xc560ac4c, 0x9c9a026d, 0xdd1fa1a3, 0xfb688c0d, 0x52803007, 0xd6c7f0f6,
+    0xf2ae566b, 0x7b3f9245, 0x7489c3be, 0x74299591, 0x81e24e6b, 0x482c70d1, 0x51bd105f, 0xe27fd34c,
+    0x7fbd44bb, 0xc18874fc, 0x886cbe42, 0x83c113b8, 0xbd2d56b1, 0xee667548, 0x56675dab, 0x7ad35444,
+    0xb4d35f6a, 0xcada450f, 0x0183891b, 0x1843bf02, 0xc2f83a42, 0xbd239125, 0xfa0d118e, 0x367233a2,
+    0x40b7403c, 0x194327f3, 0xb26345df, 0xd4d4679d, 0x74c054b7, 0x4e610cc1, 0x78c8c2d2, 0x6dc45b94,
+    0x941b869c, 0xd8125ea4, 0x7a1dda6c, 0xaad41d45, 0xd09c5e37, 0x77e6afb6, 0xc13d6fd6, 0xd1fbab0c,
+    0x165b97bb, 0x7993dc61, 0x15b90059, 0x8b37d69f, 0xbd6f729c, 0x7542f1f1, 0xf97c6532, 0xf4461673,
+    0xbb85f4ae, 0x13b5391a, 0x4d8a815e, 0xb24b2bc1, 0x4890c34a, 0x3c5fe7d3, 0xd15fa05b, 0x686dd0a9,
+    0x7a2135ad, 0x3e0bf60e, 0x8a93987a, 0x4d4d7cf9, 0xf37ae9ba, 0xae65bf1e, 0xd6e85741, 0x7285398c,
+    0xde29ac24, 0xfaa4c439, 0x50dbced6, 0x6e973c9c, 0x1dbab3b9, 0x102ae43f, 0x73395094, 0x46d3fde0,
+    0x2b21cbd7, 0x9a0f6680, 0x8ade1a3f, 0x7401c575, 0x90452fef, 0x824008e8, 0x6c625cfc, 0x52c42fcc,
+    0x4b4d8790, 0xf7883365, 0x5d290c68, 0x6fed3cd2, 0x7b2f1a34, 0x39578c3c, 0x4970cd40, 0x07408566,
+    0x9c4545e6, 0x0aefc29b, 0x99f94319, 0xe15e67a7, 0xc7f17987, 0x36d235da, 0x619562d4, 0x6add4b50,
+    0x6550b0fe, 0xdac63e4a, 0xbf26eb60, 0x054e24a1, 0x0e84f5e8, 0x53ec9717, 0x54a4e694, 0x516f9e84,
+    0x3cebe7d8, 0x4fa9e6d5, 0x021196fc, 0xdbfa7a64, 0x3de1fd30, 0x3ad02d0f, 0x7c397750, 0xc8a010ea,
+    0xc5613c8e, 0x3d8415de, 0xdc20fd64, 0x6281a140, 0xfcda62fb, 0xc63a1b12, 0x6967c10b, 0xd02d79a2,
+    0x15cd7224, 0xecbe8d8b, 0x409c4058, 0x57707c4f, 0x4ed85330, 0x7b957e91, 0x7031d0ef, 0x664e5bb8,
+    0x6d5403cd, 0x462e030c, 0xf3b2ee90, 0x3b534d77, 0x40de191e, 0x3af3c3f1, 0x277fbc9d, 0x965fa934,
+    0xe251b295, 0x8369beae, 0x6ecc3357, 0x65dda50b, 0x2b47586d, 0x75bb9ff7, 0xfffd6964, 0x3137dcc5,
+    0x1f7a8bbf, 0x0361e5d5, 0x0811e208, 0x4e131302, 0xc86d436b, 0x7fd066d8, 0x0d1cb92d, 0x016cc769,
+    0x5460a247, 0xb2c8fe70, 0x9ee81278, 0xa7782ac9, 0xf5cec82f, 0x7c7b66b5, 0x8a6cb11e, 0xbe7b2bc3,
+    0xacd42c5c, 0x3a3a7f66, 0x769f9738, 0xdfe5dba3, 0x9d4b2a9e, 0xb0cd33bd, 0x9541d61a, 0xab324720,
+    0x81713fb9, 0x71c21798, 0x7e96ad6f, 0xd80eb853, 0x8ce1aef9, 0x7ce38d53, 0xca97873e, 0x72abcdbb,
+    0x47f3d7d4, 0xeee0add1, 0xd597d341, 0x076f8202, 0x559c6f0a, 0x3bb24875, 0x3772a7ad, 0x3e5d0937,
+    0x300f373b, 0xc5618713, 0x88e394dd, 0xccff48cc, 0x984bae58, 0x0aabab43, 0xc7e329c9, 0x203970ba,
+    0xadf4aea4, 0xb694331c, 0xcdda49e9, 0x15a5ebac, 0x5ebe7d48, 0xf6cf8b25, 0x3b437b82, 0x0c934363,
+    0xe851b0b9, 0x20f503ff, 0xcc515172, 0x0a2e95fa, 0xd1df30ae, 0xe35018ea, 0x5ea99a52, 0x031bc06d,
+    0xe9dd71d6, 0xc847213c, 0x78e1bac1, 0xb7a76e01, 0x383aa08a, 0xed365bef, 0x22ba773c, 0xce273591,
+    0x979a4f55, 0xc8bb78a1, 0x2b0e9afb, 0x29179aa3, 0xf226f992, 0xdffc1378, 0xca357fe1, 0xbdb53899,
+    0xf53dd973, 0xc442a711, 0x010ccbd9, 0xe4a3841c, 0xc6fb96d3, 0x56e1803f, 0xbbf9eb2f, 0x7048d30b,
+    0x44c2dbc9, 0x062352a6, 0x8fd25d36, 0xecdd3964, 0x478f6d9b, 0x50de5409, 0xbc4cf43f, 0xd720eb5d,
+    0x804ec05f, 0x7ff959e1, 0x3a69a27c, 0x34d8ba28, 0x8de021f7, 0x3ac73b0a, 0xc119f167, 0x3ce72b21,
+    0x02d9242a, 0xeed97e3a, 0x99962a85, 0x738532a0, 0x4c33045d, 0x12749554, 0xad33c175, 0x1d472267,
+    0x02c8484e, 0xac613674, 0x1012ff99, 0x5e1d80b0, 0x3b88bc59, 0x76d4ed6a, 0x0a0a8f8b, 0x7abc2d22,
+    0xec0526db, 0x4d35e1c2, 0xf9cab24b, 0x3d83ef92, 0x8a4a3085, 0xeeb4c208, 0x253d6843, 0x12a55761,
+    0xfda8df09, 0xa752d597, 0x2f83bb8d, 0x8f9772f0, 0x2c679a03, 0x9803c790, 0x884f9d2b, 0x8ac5e958,
+    0xad0dfa5a, 0x300761f5, 0x5d3f9441, 0xf443c6cc, 0x7aea82ad, 0xcb118f74, 0x8c093a5d, 0x4a1d8e82,
+    0xcf95ea81, 0x071600af, 0x7b2ad8dc, 0x71a26d32, 0x046a8702, 0x684854cc, 0x787e10af, 0xc3ce116a,
+    0x2bdbaba8, 0x14e47990, 0x78cb03a2, 0x9de7cf6c, 0x2325a397, 0xf57b5f8d, 0x90885c66, 0x00eeeca3,
+    0x7b70be71, 0xd10afbd6, 0x5997e83f, 0xada614aa, 0xaee9a14a, 0x638ac0a9, 0xd74aca20, 0x3a6dbd4a,
+    0x99a07d22, 0x56def8a6, 0xd72c34ad, 0x425b0b21, 0x79810d2c, 0x42503ea5, 0x123630bf, 0x87fa38d6,
+    0xa0d8ca21, 0x1d152a8f, 0x68731600, 0x5e3fa98f, 0x9703834b, 0x74e3f19d, 0x1e563995, 0xe1a701fa,
+    0xca518302, 0xcab232c4, 0xd1471f61, 0xc8913716, 0xb57ed6ae, 0xf1dffe33, 0x50c4b3f7, 0x4f82c686,
+    0xbe87a222, 0x3a8cb624, 0x8e53dbd9, 0x777d9916, 0x4de7eebf, 0xc215c135, 0xbdb79103, 0x4540f71c,
+    0x57d707f0, 0xb2834f19, 0xf5731615, 0x70693f5a, 0x92f34752, 0x6c303676, 0xd4faae7c, 0xe872cb6c,
+    0xb366afbc, 0xe81b0b2b, 0x2026ad27, 0x09add117, 0x8526f392, 0x81c2fff8, 0xec160f65, 0x7a9c4f84,
+    0x4517b08c, 0x70e28a99, 0x452b1de3, 0xce398d45, 0x83572ef2, 0x91ae99d9, 0xfeffdbfe, 0x3a1698ab,
+    0x6fb07e39, 0x06367e0a, 0x989aa98f, 0xdf671552, 0x5317be83, 0xdf03f7ab, 0xf675755b, 0xccdc7be6,
+    0x6790ef73, 0x79637fae, 0x898313a5, 0x7c047853, 0xd5816fa1, 0x9069f195, 0xd3936b78, 0x2702eaab,
+    0xeeaadf04, 0x3961c544, 0xe753fa19, 0x8520bfc4, 0x6e74d57f, 0x937b27ce, 0x0e068129, 0xe7f6a3bc,
+    0xf8ce5056, 0x9044143d, 0xe96a2c20, 0xb19c91ff, 0x2a88d9a1, 0x2498cb63, 0x876ec2fb, 0x1b28af4e,
+    0xb4cf12ff, 0xedc97018, 0x4539a99e, 0xf05cfb0f, 0xefb06975, 0x9abb8c6d, 0x22ef82c7, 0xf9bc22a8,
+    0x181c4c3b, 0xe13724df, 0xd9b76f61, 0x312d6f2b, 0x1d10fa6a, 0xe8a4bca8, 0x67f0f1f8, 0x8b0d1144,
+    0xb97d4f73, 0x990fe541, 0xe0ad3e4b, 0x06f01431, 0x1261514c, 0x9e8aabd3, 0xb4e33ffa, 0x8f6dc4c5,
+    0x6425d115, 0xacc41033, 0x680d112d, 0x963e1113, 0x0d525140, 0xdd4d8917, 0x5fe05861, 0x9f0223f4,
+    0xc2367d9c, 0x800a3e6d, 0x64f29752, 0xd6e2d5bd, 0x3719f1ba, 0x1d4d9729, 0x4ed74a2d, 0xd62f9934,
+    0x0c9605b4, 0xa05d26f0, 0xe1751610, 0x9b3921ad, 0xf762039f, 0xde566c0d, 0xdccac6d6, 0xacfe2a2c,
+    0xbcdf0529, 0xf097268d, 0x77b97c8c, 0x48a2dfab, 0xd9d2c0ad, 0x554e96bb, 0x74ab4142, 0xd1a14edb,
+    0x02d10832, 0x63921434, 0xaff9ccae, 0xbf5cf6ac, 0x100f60bc, 0x60bdc285, 0x25a6dc3e, 0x27c4b554,
+    0x4e46a2b0, 0x4aa00871, 0x2a854019, 0x5100ac88, 0x0d8f5d4f, 0x17760019, 0x8a59c359, 0xf9b0fce7,
+    0x2bbc5f06, 0xd101c9f2, 0xf2287730, 0xc15596dc, 0x00ad6d76, 0xefb1baab, 0x81fbc331, 0xdd1bc9e5,
+    0x50328cad, 0x668909b3, 0xc6bc01f8, 0x1084ad28, 0x3ce6ac9c, 0x872beefc, 0xb000a453, 0xf7972895,
+    0xabcb6026, 0x935194ed, 0x6391918b, 0x3432f40f, 0x39a451b8, 0x907f9fce, 0x771df44d, 0x3f90981c,
+    0x4c2f66c1, 0x219411df, 0x84063a90, 0x4e0a9403, 0xa623fc52, 0x892a5ca0, 0x2a2f0dcd, 0x6f173970,
+    0xce74eca8, 0x00b2c183, 0x8a950830, 0x7faba947, 0x956dbed8, 0x0834fc02, 0x12bf5e97, 0x6f735575,
+    0xf72ebfc6, 0xa9e3bba0, 0xd3381749, 0x06061645, 0x8f2cbf9d, 0xfe370a17, 0x0cb0262e, 0x24a8409c,
+    0x68db53fa, 0xed47727a, 0x6691fbcd, 0x4d392f4e, 0x0f28b985, 0xec607c31, 0x1916acd9, 0x09931f06,
+    0x4cf07041, 0xd0029bdf, 0x7b355a4f, 0x995d8a98, 0x1a7cae6f, 0x053012a1, 0x04f62e44, 0x0fb2b819,
+    0xf155c738, 0x720403dc, 0x06bac805, 0x3b687ded, 0x948fd181, 0x8a15b116, 0xae256d52, 0xe60105c1,
+    0x6067b912, 0x560c71b9, 0xda00dcf7, 0xf8698555, 0xd28ef64e, 0xc17a50ef, 0xd02310c5, 0xb194e528,
+    0x94b1ef58, 0x8e6a1a68, 0xa7310fa7, 0x1386c50f, 0x38fc8a28, 0xf2c106a6, 0xb689b68e, 0x9d8cc9a5,
+    0x8e98aa16, 0x65511106, 0x8dc37d37, 0x75a0b5d8, 0x178e0326, 0x666d7c3b, 0xb8e957c6, 0xfd972201,
+    0x0e2fc387, 0x9353bf84, 0xc9572f7a, 0x21de9da5, 0xb4ceae4b, 0xb36b923c, 0x38af40d2, 0xb12bf72c,
+    0x00000000,
+    0x3d317ccc, 0xa9bfbe8c, 0x2958b724, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972,
+    0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000009485\
+                          68795032094272909893509191171341133987714380927500611236528192824358010355712 */
+  { 0x00000000,
+    0x2417b3e2, 0x0732da27, 0x662ed782, 0x55f23e14, 0x1f58b123, 0xe06752e3, 0x592570df, 0x7e104562,
+    0x62ae7a7f, 0xcc3662ca, 0x2123034d, 0xe51c86e4, 0xc32843ba, 0x15b57c9f, 0xa1fef79b, 0x880bf762,
+    0x42e7f7b9, 0x7b0d8265, 0x0f395dec, 0xa5fbce2d, 0x5dfc28e9, 0x60f61a21, 0x5718aa59, 0x5e70a723,
+    0xc360d280, 0x558803fb, 0xc713bb3b, 0xa8d7c13e, 0xaea371f1, 0x3f8579a7, 0xc7686b56, 0x9f54d106,
+    0xffb7bf0c, 0x3d29fed4, 0xa7de4c10, 0xff3ea894, 0x88f70eda, 0x86fca62e, 0x6c940cde, 0x4f82a4ce,
+    0x24ad0005, 0x25f22d0f, 0x4321505f, 0xc090931f, 0xf2646738, 0xa99de28e, 0xbfdafd12, 0x69d06b2f,
+    0xa1166171, 0x83f5895a, 0x00f78971, 0xe1bf31d4, 0x45ac588a, 0xd5e296a8, 0xaa75a020, 0xc11b3e9c,
+    0x24c9ef82, 0xd9637a6e, 0x6b03f34c, 0xb0487dce, 0xe346bf11, 0x6d16444f, 0x8029f7db, 0x7a8b1812,
+    0xc15df6f7, 0xb08ad58f, 0x7b11d5c7, 0xcec0dbb1, 0xfb158e03, 0x33d28f99, 0xe8d71e8d, 0xb5d39a3b,
+    0xea6c8e3d, 0x42a6c869, 0xd6893b4e, 0x0f1beee8, 0xa4a5d727, 0x26125cb4, 0x6093b0a9, 0xc1daf0b9,
+    0x7f2e5b62, 0xc41a9b12, 0x43076cc7, 0xd2231684, 0x39254cb3, 0xb8b71e20, 0x9b5dba08, 0x031093a6,
+    0x87c61b17, 0x30dc962c, 0x9d6400f1, 0xad51f27f, 0x81f11ce0, 0x3c87482a, 0xd8563d04, 0xe806e379,
+    0x465b92c8, 0x31b93e5a, 0xf11a6207, 0xf0d50b30, 0x4c0f0254, 0x7e2ed4e6, 0xb67b326a, 0x60dc54e8,
+    0x52796392, 0x56e05212, 0xd31e8a33, 0x2dfed6f1, 0xa5b1596d, 0x9499beef, 0x551cb090, 0xfe0d7071,
+    0x225de9dd, 0xc7c54d9c, 0x20f19fef, 0xd0c4f383, 0xa20f7604, 0x27f00a30, 0x5cb46e32, 0x5d75f1e0,
+    0xf9068042, 0x287b3157, 0xa650d025, 0x48ae1d0c, 0x726d7f62, 0x3a77af33, 0x730b8a67, 0x17809bfc,
+    0x620567ec, 0xb55c0426, 0x665ccfc2, 0xa1de00b5, 0x8af1eb6d, 0x6cc262c5, 0x52291b6b, 0xbdef74d0,
+    0x02e89493, 0x75e68eac, 0xc474920e, 0xa887f1ee, 0x7413d689, 0x655104e9, 0x6f7b8079, 0xcb400ff9,
+    0x1e51e7da, 0xf66e1419, 0x0a81029e, 0x68e4b3f7, 0x8e494115, 0xd75d81b3, 0x4b5344d2, 0x11056e74,
+    0x79bb5175, 0x10d87083, 0x16d73719, 0x02632343, 0xd72bc5a2, 0x62db7344, 0x0a19f10b, 0x39e0790b,
+    0x4d201ce5, 0xbc8ff2a4, 0xbdcad511, 0xa19d0f5c, 0x5640d12d, 0x2c8c5649, 0xddf7b103, 0xa5a4a2eb,
+    0x7a623236, 0x16648028, 0x5bbe7a38, 0x825356b5, 0x07832ea5, 0x1ce0e883, 0x184438a3, 0xbd4ab39a,
+    0x3cdf2e69, 0x06bb171f, 0x33ffdaae, 0x30cb718b, 0xa8561d4b, 0x6d7a412d, 0x0badfaa5, 0xdf05d0a0,
+    0x915ca880, 0xeb9f0892, 0x3cf9fe64, 0xa90741d3, 0xc4783443, 0x8700e2a2, 0xd891ec93, 0xe4229856,
+    0xa6012ce8, 0xb35eb9dc, 0xdd08163b, 0x44f2716a, 0x25b507a5, 0x34dd8a1a, 0x303cdc62, 0xd0c28be5,
+    0xbac8708b, 0x4a238e7e, 0x852b60d1, 0xe44e7fcc, 0x86943775, 0x9f91c9de, 0xe5c5f27a, 0x505748ba,
+    0xe3ad3448, 0x93d47529, 0x124afaa1, 0x1fd5cc7f, 0x1079c8ba, 0x581755c0, 0xb3c13457, 0x195acaa4,
+    0xc662be54, 0x50bf3c6f, 0x0438e105, 0x40a21215, 0x31457d65, 0x1cfa067d, 0xad4d908b, 0xa5fad0cf,
+    0x430580cd, 0x2fccdd26, 0xf7bf7075, 0x0d1c1c40, 0x26d09c72, 0xf2818478, 0xa36a0778, 0x5a147b4a,
+    0xd7ed042a, 0x0a77fce5, 0x9f91a9a9, 0x02691f4d, 0x077724ea, 0xfa0238c0, 0x83dc960a, 0xf719b699,
+    0xd2156f33, 0x77c657ef, 0x1e9d8888, 0x45bb16f5, 0x921696c3, 0xdcda612e, 0x436f2f4f, 0x55db7118,
+    0x67d950e1, 0xe6b2c2cd, 0xa9a0437c, 0x66dadbed, 0x80735e46, 0xc9081404, 0xf6ccacfc, 0x850648d5,
+    0xae7218ce, 0xa39c6892, 0x00f2ff0c, 0x078aa659, 0xeb437cf0, 0x9c5b58ff, 0xb001dc3c, 0x33047a91,
+    0xcb84256e, 0x123464c9, 0x6dd8f22b, 0x7c166467, 0x4570e9a9, 0x7ded50ab, 0xe59293e6, 0xa8e80a2e,
+    0x5b7ab5b6, 0x7daffab2, 0x5d2e5ce2, 0x0d2b0e67, 0x9a02eb4f, 0xd5431875, 0xfed02130, 0x7ac24e48,
+    0xf9fb3c98, 0x4dc5a59c, 0x105d878d, 0x3623b390, 0x0171583c, 0xbf7500fc, 0x7e11048b, 0x90af91e9,
+    0xc12201fe, 0xe0592ddf, 0x96dcfabd, 0xdaa52ee8, 0xcf0d7c50, 0x88e5d8c9, 0x72d0e25c, 0x04345d2c,
+    0xafc78e9f, 0xac94acb7, 0xef3430be, 0x8340b59c, 0x28ed45ce, 0x77d52a87, 0xa443f56b, 0xa0a144df,
+    0x36b7bed2, 0x7bdde277, 0xadcf281f, 0x430e20b8, 0x069d926d, 0xc9a2d5fb, 0x6382009a, 0x4c84bb34,
+    0x22228df5, 0x536d56ae, 0x97399013, 0x4e27b144, 0x682f7c47, 0x855c7a84, 0x3dbb4f11, 0x3480d6df,
+    0x2fd5b14b, 0x60a53c09, 0x68e0b305, 0x02f76b86, 0xc260a7e6, 0xd6563b6a, 0x9dc0a298, 0xd06c2e6a,
+    0xbc9b6f34, 0xa56a4e8c, 0x24202c17, 0xe43e061e, 0x8add9442, 0x06b8dc05, 0xbd192e6c, 0xb93effa0,
+    0x48d060f2, 0xab168921, 0xbd9965b8, 0x6b3c40cf, 0x77bc0264, 0x50489705, 0x43c91a8b, 0xa2882842,
+    0xccea9d3f, 0xeabf789b, 0x7c0e2076, 0xd421f56d, 0x26e9e44e, 0x24ad9479, 0xdeb35f6c, 0x644b8903,
+    0x80c55a21, 0xaa2c9bab, 0xe26df5c0, 0x08cd6780, 0x944af5be, 0x74d987b2, 0xa35cc35b, 0x8bb59846,
+    0x1290c694, 0xa48ae1a2, 0x01ee5dba, 0xfb6f5f4b, 0x7cb9b245, 0xbf09ec6b, 0x3fa103b6, 0xe6354893,
+    0xdb129994, 0x9e2488bb, 0x379e0c3b, 0xbee17c1d, 0xf64cc2c5, 0xe9cdb0ab, 0x8ad22a08, 0x75292daa,
+    0x5c8743a8, 0x69abd111, 0x64fdc200, 0xc34c5a18, 0x78c0a188, 0xe12aa952, 0x5a1ffc32, 0x11813844,
+    0xd643b3aa, 0xf30e565d, 0x7a0caecf, 0x77af66a5, 0xcdcba363, 0x0262fd29, 0x8a48eb4a, 0xf433e9d5,
+    0xbcab8883, 0x458a652d, 0xcfd653c0, 0x24d82ed2, 0x62e74a1b, 0x7b1581bd, 0xf74db2b3, 0x240c9d61,
+    0x833aea1a, 0x82b7a51f, 0x5025cce6, 0x8a882083, 0x9feba2ef, 0x56a64fe3, 0xa4fae7c9, 0x31d4f831,
+    0xb736e09b, 0xa98b77ff, 0x2db30499, 0x136f77c6, 0x4c88cd9e, 0x26ea5757, 0xe0b6fe64, 0x163affaf,
+    0xce299b89, 0xc5ac8273, 0xea285556, 0xbd4cabaf, 0xf00c57af, 0x307afd20, 0xa4456a55, 0x0746c758,
+    0x07372a85, 0x21661fa6, 0xddd05807, 0xef544329, 0xcfd021b9, 0x0b5b32d9, 0xa0afef7e, 0x3f10af03,
+    0xa71ac24c, 0xeb0d93dc, 0x3e066c52, 0x5de61334, 0xe6cff752, 0x79976e97, 0x427ed2fb, 0xe06bf88c,
+    0x444e7ba1, 0xc51906fc, 0xb480629e, 0x78d9b6aa, 0x54fc75d3, 0xf8d27191, 0x72a6a36d, 0xae331f4f,
+    0x21c1e24d, 0x3267459b, 0x11169b44, 0xfa5dfdf3, 0xab5becab, 0x10a53838, 0x24cc57b6, 0x830e23b0,
+    0x98249777, 0xa5ee767d, 0x4556e780, 0x6edb64c6, 0x739a4607, 0x5099fe6c, 0x583105ef, 0x60d65653,
+    0x9a9c25af, 0x24493ce3, 0x6d4ca5c2, 0xec97d2a7, 0xf6fff528, 0x621d8c3a, 0xdd977cf2, 0x4edebb64,
+    0x7007731b, 0xd148c6a7, 0x1d524a37, 0x5baa21ef, 0xd9e4847c, 0x18d1bb32, 0x4095f70b, 0x968d6cc7,
+    0xd946cb12, 0x53169848, 0x17c2d07d, 0x21c8c530, 0x14b8465f, 0xe47dc688, 0xd17c510a, 0xec98c9a6,
+    0xc3d83683, 0x98e8337c, 0x19552548, 0x6d3cdc4d, 0x00739b8f, 0x9c51693e, 0x655b6fd2, 0xcfdedf67,
+    0x6bac2683, 0xaa600878, 0x79e8bf33, 0xf8e2a3ad, 0x93cb6694, 0xec3c9602, 0x1ccaee16, 0x8bc2ee23,
+    0x58482832, 0x51b9f477, 0xe83b984f, 0x806944c5, 0x591d0056, 0x54f44d55, 0xbebd95b4, 0x6cc0d9a0,
+    0xd1a2b3fd, 0xb9a1faac, 0x83cfad2e, 0x5faee24f, 0x93edcc70, 0x04234402, 0x12e7c022, 0xe521e0d9,
+    0x9af3f8be, 0x4e0e3623, 0x84a53480, 0xd1ac2025, 0x346f5fba, 0x63503351, 0xafa923ca, 0x5606f1e3,
+    0x125d2168, 0x4392c646, 0xd9ce1663, 0x9159188d, 0xd3ba9f15, 0x490ee64f, 0x4a04aab4, 0x4de7cc7a,
+    0xcdb0ae63, 0xdff8dd19, 0xaf7678d9, 0x90fe5e50, 0x25536f3b, 0x0e113ecf, 0x79779e47, 0xcd888a78,
+    0x7145a854, 0x732b74da, 0x8de0cc4f, 0x97db923d, 0x24f0f19d, 0x153c8885, 0x323b6693, 0x730f0f0c,
+    0x709ea525, 0x571fe5bc, 0xf896e23f, 0x5bfac37d, 0x903819fd, 0x5446c83f, 0x02ca57d9, 0xcbd06a2e,
+    0xaca217e8, 0x690a06a3, 0xc159dbc8, 0x3535a6f0, 0x15ebd3c4, 0x2522f46d, 0x5b6134ef, 0xb2cf23c2,
+    0xf37c67e7, 0xdca18306, 0x01cdeb39, 0x77656f38, 0x9b0adcf9, 0x476d847c, 0x9cfe0b75, 0x08739433,
+    0xe93124c6, 0xc8b45a52, 0x332b1eb5, 0xf5362de0, 0x1944732d, 0x1aa448fb, 0x45852f0f, 0xf02ca87a,
+    0xb5af6fd6, 0x9340bec5, 0x1ad7cc67, 0x9e2f43d0, 0x3d65869c, 0xea4fb74a, 0xd1357f41, 0x68a398e6,
+    0xf1606d48, 0xd795af74, 0xd77c02ed, 0xdce8661d, 0xda7f4254, 0xcf434607, 0x6be33704, 0xabd7be35,
+    0xf95d8244, 0xabb18ccb, 0x708fcecd, 0x45c4da8c, 0xb0972697, 0x7cb554e0, 0x5b53b2d5, 0xae714c2e,
+    0x11cc54ec, 0xa9225c43, 0xa77cd20b, 0x256a3ef5, 0x8d24f8b9, 0x7648fe3f, 0x7f05643e, 0x82c951c7,
+    0xe2a9db4a, 0x1f531ff3, 0xa9e94025, 0x1b41ae6b, 0xef5b9df1, 0x17ffdac7, 0x6987d91e, 0x5742e14d,
+    0xfc55023f, 0xed5e84a0, 0x0744be00, 0xa23c3f19, 0x1e4ca51b, 0x666e7fd4, 0x524dfa39, 0x9e9a57da,
+    0xd0997f38, 0x25ecacdf, 0x8d9ac4b3, 0xfc4c86c5, 0x0398fce9, 0x494f5290, 0xeb1d2714, 0x8dba537d,
+    0x363d43b6, 0x70eb9899, 0x3512a3db, 0x283f60f7, 0x79d9e446, 0xf19b60d6, 0x3c4ece01, 0x433e59fa,
+    0xdbe5286d, 0xceb52d8d, 0x3cc55a12, 0xe0a99fac, 0x78cf1e63, 0x2c5e0a23, 0x2f9eb3c2, 0xfd76ff75,
+    0x9fe17bb5, 0x123baad8, 0x5e10c077, 0xf2d21b6c, 0x1ee8e7fa, 0x1ecf73ae, 0x268fedf7, 0x6283b85a,
+    0x491ddfce, 0xf253200b, 0x61a068aa, 0xdf803c69, 0xa1252a9a, 0xf84b4fe9, 0x614c8ad2, 0x87fd4564,
+    0x5009e128, 0x1b6a1e3b, 0xaccec1c7, 0x1a7ebb94, 0xd6dbe6a4, 0x7c050bc5, 0x3ca8efb5, 0x7acaf29c,
+    0x7865da4f, 0x3141f01c, 0xfe3f7d10, 0xf7683034, 0x5ab8af3a, 0x40b6f5c6, 0xe0ee6cf9, 0xd83b7455,
+    0x823013a1, 0x7d7d394d, 0xec523ecb, 0xc98e980c, 0x21efcf80, 0x5b9554e5, 0xe3f65c48, 0xa44c7cf1,
+    0x08c268a5, 0x078a47c5, 0xd540184e, 0xf60064cb, 0x9c8c2058, 0x7834b58a, 0xc222762e, 0x08f8f602,
+    0xaef87392, 0x3c100364, 0x7a0df26a, 0x6bfcca2e, 0x9adcef2d, 0xcbfb024d, 0xccc15f11, 0xa1aeb61f,
+    0x81c57bcc, 0x92aa5cb3, 0xe60d0cd3, 0xd2d322dc, 0x84c826c9, 0x40613d14, 0xf5ed99e9, 0xc3825f68,
+    0xe3f72c50, 0x5ffab8f6, 0xf97eb5cd, 0x069d603b, 0x72de066d, 0xef9950b9, 0x2a13a960, 0x2fea90cd,
+    0xf6a45538, 0x26996078, 0xa2d0b684, 0x1e6f09a1, 0x88486753, 0xd203dacd, 0x339025d0, 0xfd5e5d2e,
+    0xf34a849e, 0x29a88248, 0xa63c89c2, 0x4cc7363b, 0xe65cc786, 0xb4aa1db4, 0x1c636bd3, 0x28eeee80,
+    0xb1e82253, 0x28ec8805, 0xc758bc9d, 0xc2bb00bb, 0x2dee6dd4, 0xdae63bc0, 0xdb33bc42, 0xf1a69a35,
+    0xb90f75da, 0xc87c36a9, 0x946a1b4d, 0x619698aa, 0x120ca74e, 0x67769d20, 0xd8ba2f6a, 0xecdccd5a,
+    0xc69f0c91, 0x98e4b33f, 0x27ba3796, 0x04418225, 0xb04b7af8, 0x8e6e4b7b, 0x57e6fe4d, 0x38c1ad67,
+    0x06d9f43e, 0x48a3d6b4, 0xa4dacf0f, 0xb04ad38b, 0x9c399c58, 0xb7e9e186, 0xde5abdb7, 0x13d25b9d,
+    0x0f3b6afc, 0x739732f9, 0x7d159782, 0xb834d456, 0x28db345b, 0xaf2441e4, 0xf453c3bb, 0x6bcabd04,
+    0x37e74962, 0x1b32bbd9, 0xac20cfdf, 0x1d176088, 0x6a625415, 0xd67f3973, 0x5cbaa7a4, 0x848ca00c,
+    0x6a2cf90d, 0x07c5ffb5, 0x43431314, 0x9877b037, 0xdeb2ed90, 0x63e50e2e, 0xb1781d4e, 0x7c9a8317,
+    0xce8cb614, 0x64a7f63f, 0xe7116e2c, 0xeadf44d5, 0x22d75a9d, 0x013e75ff, 0x68909e03, 0xf47b6434,
+    0xe090452c, 0x51c46351, 0x4d58934d, 0x65d297a5, 0x00eef1bc, 0x0ea62ff2, 0x947bade9, 0xb1408312,
+    0x24c86f0e, 0xaf532743, 0x867efd7a, 0x6393da48, 0x0b9d7007, 0xd15b76df, 0x0771259d, 0xfcf4781b,
+    0x474674aa, 0xa4d6752b, 0x3f98d807, 0x8a9c1789, 0x9cbd84b8, 0x3928666d, 0xfd6942d2, 0xa734f222,
+    0x02871b29, 0xc696c64c, 0x21aac535, 0x6c33d0c3, 0x37bda127, 0x765e694f, 0x8de63d02, 0x389ed89f,
+    0x0d4cfbec, 0xe3a8e70a, 0x7f2bde14, 0x37e47501, 0xa90094a5, 0x5a79e58c, 0xb0493452, 0x3b1f4fca,
+    0x1aeb099a, 0x0c6da428, 0x1b415104, 0xd42a9765, 0x63b942c0, 0x90371529, 0xc614ce3e, 0x5fc3aa62,
+    0x9489f6f8, 0xcf64a4d5, 0xef860232, 0xfca3162b, 0xbde85b8f, 0xd9eb7e36, 0xbf9b9c4d, 0xd39ee3c1,
+    0x0554bd82, 0x97b36d0d, 0x1e086e3e, 0xb32c3b59, 0x1bc1449e, 0x4606c61b, 0xb90685b5, 0xcd1b0d34,
+    0x89b08082, 0x3b9aef30, 0x624f7ff6, 0xad153b8b, 0xad23091f, 0x8ea1f9a7, 0x8697aaa9, 0x00ed03b9,
+    0xc7910bee, 0xfe303a9c, 0x30bf4df4, 0xedde591e, 0x2722eddc, 0x436e9701, 0xbe80fa75, 0x1b41287b,
+    0xce1a5f22, 0x59458e07, 0xa7cebe6a, 0x9bb5ae4d, 0xa647d4f4, 0x1cdde092, 0x81d3d5aa, 0x6422fd54,
+    0xff732c35, 0x314397d4, 0x9ba0712a, 0xe700a618, 0x50a55c56, 0xe049e96a, 0x39cb9124, 0x1f548617,
+    0x6e1cdea1, 0xdf68343c, 0x6d7c8477, 0xa1e846a4, 0x39180a04, 0x1757a64b, 0x73e9b6f3, 0x4ee31ac2,
+    0xf143f364, 0xdbbbd1e7, 0x9542e393, 0xb30a826f, 0x3e411bff, 0x5107ecb0, 0x7d0d3184, 0x675a5600,
+    0x520c703d, 0x8b7c67ea, 0xa009a6cd, 0x8b1a0baa, 0x3643f0c6, 0x35d4afa2, 0x3417c8f9, 0x004cdf06,
+    0x66bc9f2c, 0x8014c48b, 0xb8ee2cac, 0x90cae61e, 0x352cd94e, 0xfe211444, 0x0a4179db, 0xe3e5aafe,
+    0x0536a641, 0x8c49cb50, 0x18bfe2af, 0x9c44a991, 0x544e4a2b, 0xe4844a27, 0x4e988ffe, 0xf2499e3d,
+    0x27b3ab91, 0x93d6d67e, 0xf594bcaf, 0x79a9457a, 0xb1ba260a, 0xac6c7c7a, 0x763e3d04, 0x915b5138,
+    0xc7f55d66, 0x124f0dae, 0xf2cb2fa7, 0x3b150aa3, 0x7701e2f7, 0x8717be7a, 0x7f69bea8, 0xdd88fb11,
+    0x5ca59e69, 0xf2b4bc87, 0x6fb255aa, 0x58caf3a0, 0xa5f8c96a, 0xa45e3340, 0x1c396ad6, 0xfb88e6b7,
+    0xd35e0555, 0x913fb3a5, 0xf21d6c70, 0x2754e90b, 0xa5bd0bdd, 0x6f0ceff2, 0x5b2b26a0, 0xe2a30ba1,
+    0x770398f5, 0x71d9ff21, 0xa5279e18, 0x99d87fd9, 0x21d35e5e, 0xc083ffaa, 0x168310a5, 0xe8bfa25c,
+    0xff087269, 0x0c837f96, 0x55dc1164, 0x7411efd1, 0x962fdabd, 0xfb415805, 0xacd0ff02, 0xa35e7d9e,
+    0xe0bb377d, 0xbebdbaa9, 0xba3ed592, 0x44b7a5df, 0x63ec4b80, 0x15004eb5, 0x4d46d01c, 0x3db28937,
+    0xe1cbf62f, 0xccc5146e, 0x222712ae, 0x841143f1, 0xbffc5cd9, 0xae7059ee, 0x5d830e58, 0xd4f82aa0,
+    0x00000000,
+    0x1e98be65, 0x54dfdf46, 0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9,
+    0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000004742\
+                          84397516047136454946754595585670566993857190463750305618264096412179005177856 */
+  { 0x00000000,
+    0x34d354ee, 0x5b8d4408, 0xabbe0ce1, 0xdcd831f6, 0xfb8124c3, 0xdccff2bf, 0xf5b7cc8b, 0x0f07252c,
+    0xe18c0a57, 0x623feab4, 0x37bda58c, 0xbe4ea5cf, 0x964d92db, 0xf2d3f21e, 0xaefc28a9, 0x800ffb3e,
+    0xa6b9e687, 0x32cf8f96, 0x2bdc3dd9, 0x2a50debd, 0x2e50a87d, 0x63ba91c4, 0x2c233c3f, 0x4d29f038,
+    0x11c611a2, 0x3fa0d824, 0xaebf105b, 0xdd09e79b, 0x5b23f699, 0x50a10e1c, 0x603a36fa, 0x125e195f,
+    0x9784827c, 0x0d1a2015, 0xd4373358, 0x8808cead, 0x4fa149d4, 0x7e87ac09, 0xa89877f0, 0x3a437554,
+    0x66a1d6c1, 0x9742b82d, 0xd662b402, 0x8bab49d3, 0xeeb1644c, 0x17d42a46, 0x65a4d638, 0x662566d2,
+    0xf610678c, 0x85d17b6a, 0xb9e78c5d, 0x36667869, 0x667a8be4, 0xaa9eabf3, 0xad91c413, 0xaf8bb9e1,
+    0x6699c8ac, 0x08827977, 0x7fbc9df9, 0x5324eacc, 0xbaa88b84, 0xbabd7855, 0xf06d9673, 0x19dd4aa3,
+    0x8bc9fbc0, 0x401a3bde, 0x9c54942b, 0x7303bf34, 0xfa676b8a, 0xdecc9ef0, 0xf0a88c43, 0xd377d4e0,
+    0xe95a0d9c, 0x6e2cf764, 0xb3810513, 0x91b90b0d, 0xbde774e9, 0x9abf0778, 0xf05e6675, 0x0be4639c,
+    0xa67cd878, 0x63531f7e, 0x3e040be8, 0x6f527199, 0x7f253571, 0x7f16b0ad, 0x7940a204, 0xa56f40f9,
+    0x9c45fa3b, 0x47ba301d, 0x771d4a94, 0x00a834cb, 0x02cc8c0f, 0xe67b8e91, 0xc616a93b, 0x5797d970,
+    0xa712a1e0, 0x33490fa7, 0xcd326b96, 0xb37b1ad3, 0x11828e19, 0x3815dd28, 0xfa75f88b, 0xdc4713aa,
+    0xb751c613, 0xaa3acef3, 0xe94c8aa9, 0x5375610e, 0x35b28166, 0x98430a10, 0x545a4a67, 0xc4abc91f,
+    0xb9a429a3, 0x85486fb6, 0x8de635d4, 0x711e9b5a, 0x5f02051b, 0x5eb99ef4, 0x60176a0d, 0x04826e42,
+    0x9b6c790a, 0x5ab8913f, 0x8f8481f1, 0x5f3d61d8, 0x44284bad, 0x3306bf6b, 0x06d12945, 0x77526c10,
+    0x7f3f638e, 0x6a9a7c56, 0xbfd50e0a, 0xa94f1f47, 0x7198cbc7, 0xc63b52ca, 0x14a51907, 0xe8d0960c,
+    0xfedbdaa6, 0x71b78b8e, 0x4e0050c7, 0x60bf1c86, 0x61a57b5d, 0xe5c7c117, 0xca68b596, 0xcfe838cf,
+    0xf8574d32, 0xdea929d6, 0xf8313166, 0xbacac2c8, 0x385439fb, 0xba045219, 0x9cbc49b5, 0x8b1ab486,
+    0x71668450, 0x66eb8b75, 0x0dc42172, 0xa6fd0a46, 0xdebe8fb2, 0xc2661cc3, 0x769e4330, 0xa219ef73,
+    0xf30b0ab2, 0x13702f86, 0xd0097cb8, 0xea9d9576, 0x707bc5d3, 0xa29a6084, 0x49cb799b, 0x1b656a4a,
+    0x68420814, 0x439497fd, 0x1add91fa, 0xda1405f4, 0x149001d4, 0x943ecd37, 0x20c860af, 0xdbfa893a,
+    0x6d516d2f, 0x3fa2b38d, 0x825757b2, 0xffe24fc1, 0xabc5be21, 0x70ff4f5d, 0x2b9b7ddd, 0xc1b84009,
+    0xc60ec961, 0x6288e429, 0x87b5f0ba, 0xbe740d3e, 0x45e4908c, 0x8d0bb97d, 0xef8acabc, 0x71ae0e87,
+    0xfee3bd97, 0xee4031e1, 0x658ccf93, 0x3c7b40d6, 0x3befbf0d, 0x9136b7c2, 0xc3261849, 0x90eeb747,
+    0x0a61470f, 0x6fcc7e90, 0x4e7f9185, 0xe8f76a38, 0x7581b197, 0x5d436204, 0x41a151d9, 0xf5a607e9,
+    0x4ee9c131, 0x6a12259e, 0x11e8156d, 0xa75bed8c, 0x4a260bbb, 0x8b0b031d, 0x62deeb68, 0xfc9895fc,
+    0x6f716ec8, 0xe310eeec, 0x6091f66c, 0x133ea054, 0xf193b203, 0x259939ca, 0x5ddf789d, 0xcc381efe,
+    0x8bed1aa7, 0x3b2cb12d, 0x081de859, 0xcb9b6011, 0xeac036b7, 0x24695de0, 0x2608b682, 0xcf8cd66d,
+    0xbc6e5626, 0x55417ef3, 0xe0940c35, 0x7cce5402, 0xdae35d52, 0x5acb1ad8, 0xd9f48e0f, 0x58a704df,
+    0x78f1f84e, 0xf0f03a44, 0x4b23448b, 0xe0be2e52, 0xe2a1a1ce, 0x2f3c67bf, 0xbe991e7e, 0xfb999719,
+    0x59eed307, 0xfe0827d4, 0x38546fec, 0x0cd6bb99, 0x9c250012, 0xfd7223f1, 0x67c327ad, 0x5607513f,
+    0x9cc8981b, 0xe43a0b0f, 0xfd6b74ab, 0x64f966a0, 0x8b464222, 0x53d3a924, 0xa35fade5, 0x84311fbf,
+    0x8e0e747d, 0xe54878a4, 0x269c90a2, 0x8b45b898, 0x07db8125, 0x8ccac09f, 0xd1eb7029, 0xca40e114,
+    0x7cf5630c, 0x9db73cdf, 0xb144e7f8, 0x3ecbe4c2, 0xddd29230, 0x65f4446e, 0x8f252793, 0xc8cb5d2f,
+    0x9de69d0c, 0x751fd468, 0x5974b172, 0x48140e45, 0x10aed286, 0x583e5598, 0x60395e1e, 0x31467880,
+    0x2d8b9176, 0x90252224, 0x7f3e2743, 0x823f7e16, 0x3ea8ef84, 0xf2cf5691, 0x82daa96c, 0x6406d73a,
+    0x31c89d51, 0xbf0a4f23, 0x847ef64f, 0x2c60e53d, 0x503371fc, 0xe21d2a0d, 0x1c8b9d61, 0x27cfa5e8,
+    0x4b39fed9, 0x14562240, 0x1656d06d, 0x4b185dcd, 0xa925d0d6, 0xad9baff0, 0x02cd9bc3, 0x7efa2a51,
+    0x91d8636c, 0x66502dfe, 0x29dce9ed, 0x9acfe095, 0x2b209fcb, 0x7e8560d3, 0x66ba51b4, 0x1f6cca89,
+    0x1c694550, 0x601a1e2f, 0x649acb0e, 0x955dfd2a, 0x3380ef48, 0x84e8d94b, 0xcd340ce2, 0x883726fc,
+    0x93b808a5, 0xae65cd27, 0xea80c3a2, 0xa81d5c65, 0x45f23d38, 0xb1f60e16, 0xe7334130, 0xa90b0798,
+    0xc827055f, 0x4fb2b61a, 0x69712a00, 0x42c1e42f, 0x914c70e5, 0x993a2e0b, 0xb19e32f1, 0x4ce0558d,
+    0x733335d7, 0x555b5c04, 0x7336362f, 0xbeaa39ef, 0x0a7f59bf, 0xb677d49f, 0x935e4c59, 0xb6bdea7b,
+    0x99575710, 0xcdab6d95, 0x649a705f, 0x7d3d3e7c, 0x2765f7d0, 0xee00397a, 0xe3eec992, 0x47284fee,
+    0xe8e7434f, 0xac035af3, 0xe4d6e3e4, 0x54cc6b29, 0x0883cb92, 0x48d1304c, 0xb1c64be5, 0xaaf1250d,
+    0x0d68cea6, 0x4c6e7e45, 0x1006876f, 0x9368c45f, 0xec78e298, 0x8bfab7c6, 0x184541f1, 0x93d41e36,
+    0xb29bce10, 0xfc3022a4, 0xb9754994, 0x6097f894, 0x35188b4f, 0xa157d9b1, 0x55865240, 0x42bffa40,
+    0xff43f2fd, 0xe98d0dd6, 0xdba8cbf6, 0x82e5d359, 0xe085e3b3, 0x97a1fc17, 0xcae834ed, 0xd1c1c650,
+    0x14667006, 0x133ecb0b, 0x05a35872, 0xe68f1bde, 0xe9850387, 0xcf903aab, 0x56add8c7, 0xaea1a9d8,
+    0x4e1386a3, 0x818fc8e0, 0x95561821, 0x818897b3, 0xbacbf4f8, 0xfb120d4a, 0xdedeb22e, 0x4c324a60,
+    0x6d84611b, 0xe94bfd7f, 0xae67e8d1, 0x72b80640, 0x86873176, 0xa464a9af, 0xb746216c, 0x4a82daeb,
+    0xf6fd33c0, 0x14fccb46, 0x6b2344f7, 0x57cd497a, 0x40996310, 0x175a9db0, 0x53e43e1e, 0xdc2595c0,
+    0x334c3272, 0xb48f9a58, 0xd1e49e01, 0x0ad04d98, 0x19fa6f91, 0xd94cac53, 0xeaf74a3b, 0x0efd55bc,
+    0xa416ef8d, 0x7a4fb0b7, 0x1daf7594, 0x234ee790, 0xbb54a186, 0x47caee24, 0x9ecb5306, 0xf2778cea,
+    0x338b20b7, 0x33a1dde3, 0x3c0a48a6, 0x719eb0a5, 0x9d76e939, 0x70fdd70a, 0xc89444ca, 0x2fa0d4c4,
+    0x7394ac31, 0x826d5943, 0xf211ab50, 0x8c7d1d54, 0xda929a41, 0x59e27142, 0x92c7f1fa, 0xaa12ec9d,
+    0xb776171f, 0x1ca7f939, 0xd11c4e5e, 0x38f7865b, 0x3de5c8a2, 0x6c2666fe, 0x0acd2dc2, 0xd1798b46,
+    0x68efe230, 0x74948aa0, 0xe96cfc50, 0x3ceaaf40, 0xadb8ebc2, 0x414ae834, 0xcfd220aa, 0xefd59e99,
+    0xb41028fa, 0x93cc9e61, 0xd637ac06, 0x7ffae0ff, 0xe7927fa5, 0xdfa74e91, 0x075aa390, 0x1aa631cf,
+    0x9fafcfa0, 0xe163a05e, 0x4ecc325f, 0xdfc35860, 0xf66e5541, 0x72af43d1, 0x2cc06f94, 0xc43f6685,
+    0x9bf408ef, 0x8a180e2f, 0x1d9cbe20, 0x3b81d3e0, 0x585c5c14, 0x2648293f, 0x4a660bde, 0x4c608c9d,
+    0xe7013e7b, 0x0eb53491, 0x0b8c997b, 0x8478c10d, 0x88eb8dc6, 0x6e60eebb, 0x563a5143, 0x4460207f,
+    0xba16f5b8, 0xb307cb84, 0x998d9301, 0xfd68c384, 0x814de990, 0xb10fad2f, 0x4a1d23f0, 0x26ee159c,
+    0xd66a1df2, 0x9c651b44, 0xb23582a4, 0x4a41a50e, 0x08820780, 0x8266ed94, 0x6b2b1e74, 0x3e347e76,
+    0x4c821b71, 0x8a65928a, 0x295ae86b, 0x863bafc8, 0xbb23b220, 0x86e28dd4, 0x83353651, 0x5dfea175,
+    0x6b6f8f78, 0x70957856, 0x021845f5, 0x3c8e5834, 0x637c45a6, 0x341b99e1, 0x73022c22, 0xa7b04f47,
+    0x0f88b3bd, 0xd9e8de80, 0x3084c8c3, 0x0119d1f1, 0x4d103b6f, 0x11539433, 0x12cf7ed9, 0xe1215067,
+    0x30b5fb08, 0x8b5c75ac, 0x369671f1, 0x4b21c030, 0xcd2779ef, 0x22fa371f, 0x7e138877, 0x48e98d83,
+    0xae33cf4c, 0xbb372a20, 0x5bfe1e5f, 0xa2afe5da, 0xe53251ca, 0x52816e33, 0xbb7c2951, 0x65c1fce7,
+    0xe30b5020, 0x93f7ae84, 0xc33f51fd, 0xe63efcf8, 0x34d8e57c, 0x98575306, 0x52d9bebc, 0xfad81b3d,
+    0xe631bdc2, 0x556e2fe3, 0xb23bdde3, 0xc9e0f95e, 0x04c7230d, 0x838c7f04, 0xe1418ec3, 0xc8557067,
+    0x9c334087, 0x20ab1bdc, 0xf1af0e3e, 0x5ff15c84, 0x1dcfe53e, 0x438023da, 0x6fc5e6de, 0x81a3f886,
+    0x91414840, 0x0e5cda1e, 0x8d22a8b9, 0x92269cca, 0xd3f404e1, 0x2c887ba0, 0x9e9e1d26, 0x6e969f31,
+    0x49c45765, 0x44fcaf45, 0xfab2676d, 0x0c2ab8de, 0xe5eb46df, 0xf40ad6be, 0x63d5ca87, 0x14264f1c,
+    0x8ed8db6a, 0x4597d7d7, 0xe2487fb4, 0x31ef23a9, 0x502b87bc, 0x2d2ab383, 0x9733bc38, 0xbd4a1ff1,
+    0xb057bd5d, 0xe879838a, 0x5bf455eb, 0x3ecd5a62, 0xb20b5c02, 0x1291487d, 0x72d9e21e, 0xe9f08230,
+    0x0f8cccfa, 0xad14902b, 0x6e2d3263, 0xdfca584f, 0xd51adc95, 0xe24aa72d, 0xf6004ca8, 0x649884f2,
+    0xb2731fa8, 0x31f3c5f0, 0xb8d873b0, 0x701c3498, 0x92c1c52d, 0x7674ac05, 0xdfbf973c, 0x29a5f3e7,
+    0x8245be4a, 0x1eb1c678, 0xf9a86eff, 0xaa62ea5a, 0xaaa46312, 0xa69183da, 0x3f2e7d08, 0x36223e2f,
+    0x9ccc3181, 0x94a1fe28, 0x89499de4, 0xa4881e92, 0xe3ad92f3, 0xd74f71a6, 0xa583ab97, 0x9ac2b876,
+    0x8ed700b7, 0xd9faf657, 0x07d039a2, 0x8cf99f56, 0x9cd6a249, 0x32fcae69, 0x89a1c709, 0x2a63ab55,
+    0x053caaf9, 0xfa36aa6d, 0xeedec64b, 0x3cfaa98b, 0x615b721d, 0x7a7c7779, 0x9b6a8047, 0xfa0a4ad6,
+    0xec4a051f, 0x6ae63510, 0x527f8e6e, 0xb17d3bbb, 0xec63801c, 0x4ed0e01a, 0x52da1dbd, 0xf8e86c00,
+    0xa06c06c3, 0xff2c7a6c, 0x1ba82448, 0x31300e72, 0x446c5aad, 0xe7e5f622, 0x1c0db75f, 0x07862267,
+    0x7f4d85f0, 0x1dc7601e, 0xef8760b0, 0x9d72ba3a, 0x32d817a7, 0xa94387b9, 0x0e31da0e, 0x1c8b4d20,
+    0x14850eba, 0x9241d00c, 0xf6b89400, 0x37acf6ea, 0x3770eb81, 0x7cde21a4, 0x6a242296, 0xed3ecc8b,
+    0x1264a7e0, 0x364c3d46, 0x34dbffd0, 0x8aa7cbba, 0x17ef4fd1, 0xda852548, 0xdf5a70c8, 0xec3ce56e,
+    0x32103190, 0x256aad11, 0x20c17861, 0x5850581e, 0x2c438434, 0x6cf242e5, 0x4102f42b, 0xc7b9b260,
+    0xaa993ddf, 0x2c2eec80, 0x9cd95d45, 0x089b53d0, 0x5aa4aa16, 0xf40ea2e1, 0xe1420ae7, 0x07c3c594,
+    0x3ce22bae, 0xb32e1502, 0x294a90d2, 0x35a75ee0, 0xe33f06ea, 0xe613e306, 0xc4e6b28b, 0xdf2549db,
+    0x4c990932, 0x82606539, 0x7e1a2eb1, 0xfa96800f, 0xb88d0824, 0x34464feb, 0x8824dd6e, 0x8c29350b,
+    0xcdb94d63, 0xea096425, 0x2bbb5c2d, 0x839aa4ba, 0x27ab110d, 0x351aae56, 0xebbf6775, 0xe52322ff,
+    0xcda69a84, 0x52a631ac, 0x1a2b3108, 0xf5c83f44, 0xa5479116, 0xb7454d2e, 0x045ff310, 0xe81ba040,
+    0x9e349a45, 0x8c72ceeb, 0xa57af56e, 0xc960fbd3, 0x2e23f0dc, 0xbcf1aa8f, 0x5720289d, 0xe1903b3e,
+    0x6ed50007, 0xa03baf09, 0x9b675dc6, 0xf6a43982, 0xf525512e, 0x6862b9b0, 0x9379e55f, 0xedbc27eb,
+    0x0583c566, 0x8b1bd795, 0xf5be827e, 0x83a8881d, 0x31b7a9a2, 0x9572e659, 0xf385a93a, 0xc3fecd6b,
+    0x61b11a12, 0x6b22f257, 0xd2f36fc9, 0x440fc69b, 0x017d0b3f, 0xe445db3d, 0x4f5a4ab2, 0x8d8fe646,
+    0xaee30bbc, 0x457ae86d, 0xd533ef5f, 0xa3179070, 0x2e597c7b, 0xa73f130d, 0xc9319d66, 0xe06d0933,
+    0x913555cf, 0x1a700739, 0xb611849d, 0xb0be1aea, 0xa5a23397, 0x3192afaf, 0xdfc1b212, 0xb4a210fe,
+    0x0c1bf388, 0x95eb40f1, 0xbabcd37c, 0x8bcbe91f, 0x89b8cd5e, 0xec99132f, 0xa099e045, 0x961a6729,
+    0xacbb6ba4, 0x7e2a958a, 0x38f16b97, 0x794eb9f8, 0xf148b2d6, 0x80578d3e, 0x0822c11d, 0xeb1cdf22,
+    0x3963e6da, 0x1deb938e, 0xc6aba2a9, 0xaa1f92fd, 0x97250e37, 0x2068c89f, 0x563e3897, 0x7633379d,
+    0x45f2a0a8, 0x3dce3e4e, 0x295e706e, 0x9f089820, 0x763a93b9, 0xebc16f93, 0xc16c96fb, 0x2048b50d,
+    0xfd96831b, 0xd1cdd58c, 0x6ab77387, 0x26974bab, 0x398184d7, 0x348fb0bd, 0x6be92b47, 0xc0b3c836,
+    0x751a2afe, 0xe587de83, 0x947593a6, 0x944517d4, 0x6cd00d6c, 0xcd1eed11, 0xc000fe37, 0xa03782f3,
+    0x56bd0c87, 0x64e8c996, 0xf01b3f4b, 0x070f7cf8, 0xceacd1f1, 0x7827615d, 0x7788a896, 0xcdbd0838,
+    0x1437f798, 0xba34b28f, 0x33925d99, 0x38f07153, 0x4a0b398d, 0xad9553cc, 0x84a6a86d, 0xcadafbe6,
+    0x36a7536e, 0x284cd019, 0x8858cb8e, 0x733104e2, 0xdd3b4011, 0x881a1530, 0x76e4d20d, 0xe26f89ec,
+    0x9e8e2353, 0x58521a9f, 0x1c40141f, 0x3461a0bb, 0x640796db, 0x97bb20a4, 0x4e99f8a8, 0x133738ac,
+    0xcfff935f, 0x658260e7, 0xd75281d3, 0x2e44af62, 0xb63251a9, 0x223dd9b8, 0x4a073c15, 0xdf851897,
+    0x8c9d0dad, 0xbf29850d, 0x89090fd8, 0xb8bbfd31, 0x1f385b7b, 0x1471b95d, 0xd9697547, 0x3fa413ec,
+    0xb7b42670, 0xa264f423, 0x0b50547d, 0x4ed7351f, 0xa87c11bb, 0x4330f653, 0x555be48f, 0x24f6a13d,
+    0x5fa0f7f3, 0x03068743, 0xdc8c7608, 0x65cc1d11, 0xf53ea9ea, 0x89ae2283, 0xe914f614, 0x2b1522e1,
+    0xb6529654, 0xb9f7ef1c, 0x059e4df4, 0x6fb7f553, 0xf63b3cf0, 0x532c2405, 0xe2c7648a, 0x149d774c,
+    0x67845efe, 0xca2b9c2d, 0x24d7c12c, 0x1262c858, 0xc2132f7f, 0x0e49cd2f, 0x1e77f7dc, 0xc8ec8f62,
+    0x1cddcce5, 0x20085868, 0x823dcd23, 0xf1955c92, 0x620dffad, 0xb779a2e6, 0x4573d0f7, 0x7af43156,
+    0x9df16035, 0xc66b5aa3, 0xbabfe84c, 0x211ee503, 0x24fc9655, 0x6448773c, 0x087f6844, 0x18822a31,
+    0xc08f249a, 0x8786c759, 0xf75ea583, 0x2a8c8a10, 0x847c9b8c, 0xc886f91f, 0xddd2fc40, 0xcfac379a,
+    0xc88c0200, 0x7a48517b, 0xeaefa448, 0xac6243dc, 0x2d687f75, 0x50ac64c2, 0x724d18c9, 0xac1cac11,
+    0x9ab643e6, 0x083331a8, 0xd4964f2a, 0xb64c92d9, 0x72289e71, 0x44661e40, 0xbcc4b70f, 0x911b0b18,
+    0x86a8a20c, 0xeb3d17c4, 0x2a3d342d, 0x4d567fc6, 0x33180dc8, 0x201f8c1c, 0xf49f3109, 0x99af4986,
+    0x576547be, 0x291d1e2f, 0x7ff1252e, 0x83cb3803, 0x6815169a, 0x305920fd, 0x841ea697, 0xb033e1b2,
+    0x220546ae, 0xfe1a3214, 0xe04d03da, 0x4762715c, 0x52b2f3fb, 0xea4163d8, 0x49dc7e7d, 0xc969a96a,
+    0xc7ef1783, 0xaa8b5118, 0x73786eec, 0xe838160f, 0x1276df70, 0x678ad8f2, 0x97752ef1, 0xd1779800,
+    0xec4bf2ea, 0x4181bcb1, 0x42f7c43d, 0x467ed1f5, 0x1d74fabe, 0xe2f8f836, 0x2032bb63, 0xa51b3514,
+    0x00000000,
+    0x0f4c5f32, 0x2a6fefa3, 0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c,
+    0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000002371\
+                          42198758023568227473377297792835283496928595231875152809132048206089502588928 */
+  { 0x00000000,
+    0xff25045b, 0xea01575c, 0x8c19871d, 0x8c210ba7, 0xe082ab77, 0x8f5ef005, 0x14c7b66c, 0x03469178,
+    0x71926604, 0xeca73fd2, 0x1ba32f86, 0xc200cce3, 0x3caff3cd, 0xd4ee1875, 0x3265867f, 0x2de84491,
+    0xc6251a09, 0x3c0931a8, 0x2eac5cc3, 0x536f3cc3, 0xf86eb6f9, 0xd8180b7c, 0xb5140172, 0x470f4fa4,
+    0x56e90750, 0x91adf7fc, 0x328c0432, 0xd89b4c29, 0xd6fdf9a2, 0x05052ea9, 0xa2b8252b, 0x75ba24d1,
+    0xc9c4d3f4, 0x55befd24, 0x942f5311, 0x9b8c96af, 0x503b2f11, 0x02a34c0a, 0x8fd75b04, 0x9a440e09,
+    0xcea21a95, 0x20249dae, 0x00de52de, 0xd3cf89c0, 0xa12102c2, 0xd790d3ee, 0xf53e2bc1, 0x3bcef2c4,
+    0x78af3d52, 0xa190668e, 0x5af495d8, 0xa843318f, 0x8d5cefa2, 0x22b99802, 0xa3c4775f, 0xacf61367,
+    0xa25257cf, 0x7df6d2c6, 0x3bf1ec22, 0x68aa3a6e, 0x4b096f8f, 0xdd1336b9, 0x2fa04109, 0x77431f5f,
+    0x3dcd9519, 0x175b2acd, 0x9758357c, 0xf8573b49, 0x96d5776d, 0xac16123d, 0x6bf3d4b6, 0x839d3da8,
+    0x9915ded2, 0xe7bf9d3f, 0x70b6f34c, 0x2683c12f, 0x01e8124a, 0xc65dbe27, 0x868b5f97, 0x6fae5c85,
+    0x529b160f, 0x741e47f6, 0xaa51c308, 0x10f00e73, 0x8520ded4, 0xba71c179, 0x01dc5587, 0x68b3708d,
+    0x7d416416, 0xe4cf713f, 0x7db1e6ee, 0x07b41104, 0x34dd3214, 0xeb114a6f, 0xa3dd6cf1, 0x29d1cad5,
+    0x73b58aaa, 0xcc07ff53, 0x1ad397fa, 0xcd3f3f6e, 0xca856029, 0x881b6527, 0x6491d717, 0x09c2ca09,
+    0x4a30b53a, 0x187376f7, 0xc19094c7, 0x7e3b5ceb, 0xfa9acf8f, 0xc8bbe463, 0x9ca9ad39, 0xc66d5e3d,
+    0xddd466c2, 0xdc49913e, 0x3e1f4b57, 0xafdf2fc2, 0x0686cd83, 0xb44a4e58, 0x5440f5b9, 0xbef77e44,
+    0x7b4601eb, 0x2e3a4a0c, 0x199e7f2d, 0x23732152, 0x86410f79, 0x786ae51c, 0x10df7cf6, 0xe31ee33a,
+    0x3210bdd7, 0xe846637f, 0x2a8e17a1, 0x874b2d73, 0x9d34d44c, 0x2dede8e1, 0x7180551a, 0xb841b05c,
+    0x259bfcb3, 0x44f19ece, 0x9a0969e2, 0xbd7eaba7, 0xd35b66a4, 0xd40448cb, 0xf3e92ced, 0x8c2e8688,
+    0xd84c5d35, 0x89ff8621, 0xfe1f7a08, 0x1a65fd04, 0xa6f10205, 0x6e7b5a69, 0x8f674e93, 0x76e71420,
+    0x09998ff9, 0xa1778396, 0x18344b5d, 0xdbd6425b, 0x83cf1bfa, 0xa34c3530, 0x327db069, 0x9ae4eebb,
+    0x872e2de8, 0x1a8b606a, 0x16be2af9, 0xde059156, 0x5fdb2409, 0x15028c34, 0x5ce4dd95, 0xda248b41,
+    0xa41fc4c9, 0x80cf7053, 0xd3a98220, 0x4636cf7d, 0x8ecfd433, 0xb27e9c31, 0xb12a5e05, 0x957b4a05,
+    0x2c47a7f9, 0x5cbef773, 0x1f8b3fa8, 0x8822aa83, 0x4b4ad71d, 0x2a1cf411, 0xdef6fea4, 0x6e5187f4,
+    0x14473e9d, 0x0b02e2e9, 0x6098fbe5, 0x3b06e131, 0xb27d81fc, 0xf214246b, 0xb020679d, 0xbaa85aa0,
+    0x255eaa90, 0x26f1bad1, 0xe272099f, 0xd3591f87, 0x25c968f3, 0x8e7eb066, 0x4e700505, 0x8f01c763,
+    0x136777fb, 0xb93cf402, 0xefffc3f3, 0x10d9b268, 0x988751ac, 0x7725c986, 0x32a2e231, 0x74690eac,
+    0x2a61dfbb, 0x4a8d469a, 0xcff3ab8c, 0x51d9158c, 0x964952cb, 0x85896398, 0x220721b8, 0x61792c3d,
+    0xe8eeb278, 0x1f7d142e, 0xaf0967d0, 0x971fc1d3, 0x784cef0c, 0xcacb3545, 0x161d5321, 0x502ae5b6,
+    0xa806d2fe, 0xfde65953, 0x8a811d0e, 0xb2eea659, 0xcff30fac, 0xfdd75a33, 0x82f8b3ec, 0xd13a9acc,
+    0xf6d0d856, 0x2c601c8f, 0x42e0449d, 0x2220c02c, 0xd69de06c, 0x7711deae, 0x24728ca0, 0xd43c8c9b,
+    0xd5d9aed4, 0x14866a7d, 0xa98430a3, 0xc7dcf1a3, 0xd99c180c, 0xfc9f3324, 0x04dbd59c, 0x6a765214,
+    0x85b701de, 0xd4fdc117, 0x27a250d1, 0x8c996a5b, 0x5e22be39, 0xf911ea9c, 0x0968a8fc, 0x5561e92e,
+    0x90dd3712, 0x5076ee36, 0x02bef3c9, 0x98b699f5, 0x8c916c7b, 0x9d2babca, 0xbe5a5f70, 0xd7a09641,
+    0xa8dd1cbd, 0x785a7ee4, 0xeacc4b34, 0xc42d50ac, 0xbf3c1cf1, 0x4ad2e10b, 0xf209eb5c, 0xacaaec65,
+    0xe502dc2c, 0xb4863a87, 0x3d047313, 0xf1a2104a, 0xaa894a7e, 0x10ecb7b3, 0x05deabfa, 0xcc9cdc1f,
+    0xf0b0eba3, 0x5f954f0f, 0x62814da7, 0x0eb7c8dd, 0xcedbfaf5, 0xce7f044e, 0xc7a44065, 0x0a12de37,
+    0x2daac3ed, 0x9f7c7695, 0x972ac98e, 0x290e7dce, 0x38f2bcb7, 0xf1996702, 0x129bde59, 0xfa693a6e,
+    0xdbcff844, 0xf1415be2, 0xfd702a5c, 0x06c58df1, 0x4f8bb1c4, 0x24a38db0, 0x4a41f28b, 0x286d5d8a,
+    0x2c007f3f, 0xbdb65f79, 0x591c3b76, 0xc103ae1e, 0x5b6a8d9f, 0xe6179933, 0xf63cfe89, 0x843a78f4,
+    0xbdeec48e, 0xa862e70e, 0x0f28e7c9, 0x014ac6e6, 0x0ecd82f1, 0x543ad404, 0xac3a59e9, 0xd0d1fa4c,
+    0x4ca4231b, 0x4ae9fa5a, 0x0b4f7081, 0xdb93ecc4, 0x8d549747, 0xac8b69e9, 0x3c3ea4bc, 0x47b47977,
+    0x5ca09a8a, 0xd56fde46, 0xe1de6e4e, 0xe2e3701a, 0xd641f5ec, 0xaf617f66, 0x13b50abd, 0xe9d0b620,
+    0x5d981c0a, 0x46b8babb, 0x198b929a, 0x188074f7, 0xe91f7416, 0x100c4396, 0xd2d7d537, 0x73e7bcfd,
+    0xda549ae5, 0x4af5efc0, 0x77123a5b, 0x53d930c2, 0x025482cd, 0xffef9738, 0x40c4d5cf, 0x498db26d,
+    0xda93485d, 0xb380c4d7, 0x86a8e4e3, 0x740b2440, 0xfdbe869e, 0x75913b7c, 0xe08b6f19, 0xa04fee93,
+    0x407b5b53, 0x1c2f7711, 0xfd2958eb, 0xcb67d181, 0x69d28758, 0x501bf659, 0x6b4f3a9e, 0x1e120108,
+    0xb78ceecc, 0x6fbb9120, 0x1fe62413, 0x2a4703cd, 0x718a57d6, 0x128fa5ad, 0x320a5241, 0x72eec67c,
+    0x03f94204, 0xf04c3dfe, 0x7a7c86a4, 0xbde13a3d, 0x296d95a9, 0x475418c0, 0xa6a2a141, 0xe360fc12,
+    0xa002a14f, 0x901f40fb, 0x16a1b592, 0x4069043e, 0x05c4a5d7, 0x65b08516, 0x200954be, 0x0b296038,
+    0x5ab577c3, 0x380f07ba, 0x3613a9a5, 0xec94e475, 0xca16953f, 0xc03c8cfe, 0x8d8c80de, 0xdc875e58,
+    0x8e9f8185, 0x91895e85, 0x2060657a, 0x996d3114, 0xd3b4e6fd, 0x6ddaeaa5, 0x79f30d70, 0xd1cf87df,
+    0xb566beff, 0xc6570fe1, 0xa9ed06b3, 0x108f50ad, 0xfd41bcba, 0x27df7715, 0xda86b2eb, 0x168edef2,
+    0xe19c7a1b, 0x2a505294, 0xe9343d89, 0x2bdd0ec6, 0xbe4a0132, 0x4fc811b4, 0x51a9a4a8, 0x52f9afe1,
+    0xc7da4003, 0x20bb272f, 0xc9b473db, 0xa76f7efb, 0x9ae27d71, 0xd5003a1d, 0xec1ed39a, 0xc54a22c4,
+    0x7eb02974, 0xc51406b0, 0x6882870a, 0x17938f5d, 0x6275dfe1, 0xf790c1c4, 0x9a0a61d2, 0x97b49e3c,
+    0xaac55ad6, 0x937aa547, 0x968d2e02, 0x78d9980a, 0xc0022e39, 0x993f9bea, 0x3a1bcb36, 0x9ccc76e0,
+    0x3660638e, 0x4b88c4aa, 0x86a6b981, 0xb2dba800, 0x816b467f, 0x8667d7dd, 0x4ccb4b78, 0x102ca54e,
+    0xa00fbd5b, 0x2663ecf4, 0xe6f4ae37, 0x7d8da13a, 0xd1db4791, 0xe5ab4a31, 0x4613bec3, 0xff260fe3,
+    0x3fc2a362, 0x2f53369e, 0x8a0770e5, 0x224ca274, 0x0cfbf693, 0x3772221a, 0xba1b9e12, 0x04fa954a,
+    0xd21acfea, 0xbb997dd4, 0x56a19a9d, 0x62a05954, 0x4c53a684, 0xa4d420bb, 0xa089d19b, 0x63c270d3,
+    0xa9accda3, 0x312cca04, 0x85b65122, 0xda7c362f, 0x1864da6a, 0x97ba934b, 0xcfa9c857, 0xa6627c80,
+    0xc008e2d5, 0xcc9e4ea9, 0x94df5fa7, 0x65a007ef, 0xc9b0ba02, 0xe1ad9a7b, 0xc392c610, 0x03a3f349,
+    0xf2695339, 0x42ab1f65, 0x6aff8968, 0xa45c9e16, 0x0238d136, 0xb6f661ab, 0x7447c156, 0xf2ac8574,
+    0x2293db4d, 0xfcc4e752, 0x914afb4d, 0xa47f0813, 0x777742a0, 0xc7cb4ee9, 0xe28effe9, 0x0b0fbd3d,
+    0x79d1fd68, 0xb5280a72, 0x64acaf37, 0x19f9378b, 0xe71a52e8, 0x477f99e0, 0x08d534e4, 0x3df31db3,
+    0x82879003, 0x19cfb132, 0x83e33721, 0x6a95c613, 0xd0108c59, 0x0d82491e, 0xedebb0bf, 0xc21c092b,
+    0xa6333707, 0x544c3b5c, 0xe6dfacb0, 0xa89ab531, 0x89e0587e, 0x24b910c3, 0x0dc5ed92, 0xd7c89ffa,
+    0x838538a1, 0x35f3be21, 0xb0d6ccba, 0x47bdb433, 0x045dfb5a, 0x1ca2d4fc, 0xd431caae, 0x3353f8d9,
+    0x7dffc18c, 0x31803ba9, 0xf8745a0a, 0xe6d299a6, 0x5dd9d4cb, 0xd672106c, 0x2a678527, 0xdd5f901e,
+    0xf33fa0c7, 0x0856c4ac, 0x1c79c4e0, 0x76a1d2a6, 0x8e4b356d, 0x1e779fa8, 0x79276936, 0xfc587179,
+    0xa063a1d1, 0x10b70a81, 0x92deda95, 0x2d945556, 0xe1c6b15b, 0x71f3b64b, 0x6b908e32, 0x7a89854b,
+    0x009be94d, 0x6a7d3d6b, 0x59ddea7c, 0xcecdd7bb, 0xb399a4ea, 0xc11ca175, 0xc3bafd0c, 0x47cbc099,
+    0x57dbbc0b, 0x01752b35, 0x4b1a7e6c, 0x533be6e5, 0x19ecd00a, 0x8ef78f58, 0x4d875c7f, 0xbc6f748e,
+    0x15ff0157, 0x108468c6, 0x0da3c211, 0x92a0a1f0, 0x9bdd2f81, 0xd93a88d0, 0x1538a9b8, 0xc47af8b3,
+    0xe1dad9cb, 0x4a97d29d, 0xf48ece54, 0x96298f76, 0xaa5e2b1e, 0x1aa2d1ad, 0x784e8f65, 0x37045ac1,
+    0x5d0a7dfb, 0xe28f9730, 0x6e901da2, 0x3ef37fee, 0x3014c6e7, 0xe689e8e2, 0x184cddc6, 0x212bf36c,
+    0xc96c00f7, 0x05e86885, 0xc2c790cb, 0x35bb413d, 0xa544d588, 0x8ec4caf0, 0xcc6571a6, 0x0e49c574,
+    0xf6cba52d, 0xbee3c84e, 0x4482f401, 0x5bb70f21, 0xa0a8dfde, 0x838044f4, 0x42cd2b7b, 0x31fd65c1,
+    0x333cf404, 0x8309c027, 0x1592f4db, 0xf65fc47d, 0x03bedd80, 0xfb1e30ee, 0x2bea839e, 0xd7a3ddd2,
+    0x477b357d, 0xa1b37cc1, 0x493aa108, 0xc2fa3e87, 0xb46c5ccd, 0x2f13a90e, 0x812fbe53, 0x73c73bd1,
+    0x8e852e30, 0x1f376b1d, 0x097edee7, 0x96a3b75d, 0x020e8ea9, 0xc99210a7, 0x2f0324af, 0x4e6c49e4,
+    0x894ada5b, 0x6b6fe162, 0x733819c8, 0x3942dbab, 0x9771e400, 0xf7f4cda8, 0x3af034ef, 0x3c46c4ca,
+    0x8b587f96, 0xfb4e9f4f, 0xda5c90a1, 0x58420818, 0x032622ec, 0x7d5c7d91, 0xce60143e, 0x151e8a98,
+    0x0d91a52e, 0x67597998, 0x02123bb4, 0x76ddd25d, 0x00274738, 0x6dd6ba9a, 0x09565f81, 0xd271b0cb,
+    0x205e58d3, 0xeb8b7843, 0xbe6a8d1c, 0x7eb790d3, 0x5171e286, 0x4b4d7acc, 0x2b1f761c, 0x80c137db,
+    0x319d6075, 0x73a59429, 0x84e624c4, 0x285987be, 0xa2cae9ed, 0x605b9104, 0x2826bd7c, 0x2192d71c,
+    0xb7c23a4c, 0xbdc052eb, 0x41de005b, 0x66beaa19, 0x7137bf00, 0x094bd80a, 0x751d7a9f, 0xc79a3e00,
+    0xf0267b47, 0xefd1ec6a, 0x340e988d, 0xcd5df945, 0xacb302c0, 0x0ce3330c, 0xd18f7ad5, 0xc84606d3,
+    0x3a5bce00, 0x2c4efaa7, 0x6a025540, 0x1193fc4f, 0x6c4562cf, 0x58b25179, 0xeb1615de, 0x2e79c928,
+    0x008cc5e5, 0x1274dd9f, 0x977b5429, 0xd7c85d59, 0xdfa792d6, 0x2b080679, 0x7677651a, 0xb3b54d32,
+    0xe5844c54, 0x51263065, 0xd579f678, 0x921c895e, 0x046561e7, 0x2f7743c8, 0xcd2cbca9, 0xf4e8247f,
+    0x8b625874, 0xfe3f1460, 0x7072005d, 0x804ded8b, 0x9caa580f, 0xc3a4a049, 0x26f608f4, 0x46099d08,
+    0xc2659777, 0xf3498cf1, 0x8e6805fc, 0x1f8ba4f2, 0xbaf9a4da, 0x0ea0012f, 0xd85171ac, 0x4459bf2d,
+    0x3348948b, 0xfed200e0, 0x1bb737bb, 0x65d5b689, 0x7a208e51, 0xf5d717bb, 0x3ea775cb, 0x5982ff7b,
+    0x1e567ce4, 0x46a1b83c, 0xeeb9325c, 0xf5fa4dc9, 0xe4e2dfd8, 0xe4826deb, 0xf8521f57, 0x87dc7465,
+    0xfdbc266d, 0xd48c0857, 0x8cea314a, 0x6f26e84b, 0x56323da5, 0xa87388f4, 0x8436f299, 0xcef79c24,
+    0xe7f94b36, 0x0281d932, 0x4fb542ac, 0xecb4a42a, 0x9b10f561, 0xc67a84b8, 0x2ffccc97, 0xbb29ad16,
+    0xe05ef3ff, 0x63bf55db, 0x785df59b, 0x0913a524, 0xa92c2ea2, 0xd95e4eda, 0x6e70cbb8, 0xa3e87293,
+    0x0b5b2588, 0xbbdbc4e2, 0x53fb5bdb, 0x893f1b07, 0xf9acd0ad, 0x3ab44ad4, 0x9af5e9cc, 0x2ab25965,
+    0x784788e2, 0x86663405, 0x53ccad24, 0x65003f94, 0xbf4b33a4, 0x769b9acf, 0xe770b1cc, 0x36ef843d,
+    0x5f0131de, 0x042e11c5, 0x3f5f76ab, 0x76ecdd37, 0x5bcd94ab, 0x2f58e2a4, 0xe4da81e2, 0x9cd978a3,
+    0x7490ffa1, 0x2b0178b8, 0x4464cc60, 0xb63b1d66, 0xc0c5e440, 0x1ba5606e, 0x7d60e89c, 0x2691d92b,
+    0x1ce33cd6, 0x0d2ccf49, 0xfefbd50b, 0x961935d9, 0xb6e88d24, 0x12d8305c, 0x5b2a9ca0, 0xa4a5c98c,
+    0x8a4effa8, 0x71b59b5c, 0x8b036126, 0x6c7da111, 0x47ccbc02, 0x4525b037, 0x4c125fc1, 0xbc600169,
+    0xf90aea60, 0x075644b7, 0x720519de, 0x409e986b, 0xbf136ee2, 0x8d92efaa, 0xabf5c0d5, 0xbe1473db,
+    0x0f2dd663, 0xaf5787e1, 0x5c5c2181, 0x58de154e, 0x4f338f32, 0x85da6880, 0x3d50a47c, 0xacfbda47,
+    0x8aacbea2, 0xd47feddd, 0x8355d459, 0x49c11f17, 0x2462d274, 0x05ef97ea, 0x2191c101, 0xa223103d,
+    0x80c6259a, 0xceeab5de, 0x0b5a66fc, 0xb68d1c8f, 0x0696f5eb, 0xef444e18, 0xea1669d1, 0xb3a53da0,
+    0xf6245144, 0x81dc1602, 0xdbdb1d74, 0x4863d4ce, 0x59290190, 0xf339d602, 0xc6ecd8fe, 0x2a18269c,
+    0x27026939, 0xf1b23c18, 0xd533a6a3, 0x6eacec83, 0xdb345efb, 0xc4b86284, 0x683fefa9, 0x8fafdb92,
+    0xb54a2fce, 0xf2e77917, 0xfabd5d91, 0xdccca465, 0x7f69f0fd, 0xcbbadf4d, 0x33f323ad, 0x0b2be369,
+    0xfbdde1e7, 0xc92a7292, 0x2791bbff, 0x14ff663a, 0x1fe04583, 0xd93ff8fc, 0x0fd67eaa, 0x455541ee,
+    0x4624dc70, 0x3933d0a9, 0x16f4e796, 0x9b08bcad, 0x68e2d04d, 0xa8d61572, 0xf10c97f0, 0x540929bf,
+    0xc13fb871, 0xfe6a7959, 0x6f9c8302, 0x90961772, 0xa063a86a, 0x0e721fe0, 0x8ea179d8, 0x156dc5d9,
+    0xb0af2ff2, 0x62bb61a3, 0x44cdca05, 0xcc58e944, 0x1c04c74f, 0x6da0b79a, 0x931fbcdf, 0xb9d888c2,
+    0x026876ed, 0x22b07cd4, 0x5052c1d4, 0xf6b0e39f, 0xe33bbf0b, 0xa767c476, 0x6dc5fb65, 0xb93593e1,
+    0x391b735e, 0xe89d0414, 0x74ad8b1b, 0x971f56ec, 0x4cb34921, 0x3ab421a0, 0x2b224448, 0x2c060b6e,
+    0x56d82951, 0x82e02c5b, 0xfdfd8cf6, 0x7ad79960, 0x26d57386, 0x5747cc70, 0x6ae777cf, 0x343cc69a,
+    0x91417b86, 0x26e49d11, 0x1200555b, 0xeb40c4c5, 0xc67b7d16, 0xd25f2de9, 0x1dcee796, 0xb72cc8f4,
+    0xb102bab6, 0xe674a3b9, 0x6e211802, 0xb6a75543, 0xab24627a, 0x75086d8f, 0xe13f2c5a, 0x818c7e9a,
+    0x4833a7de, 0xca9746d5, 0xedd2fa53, 0x4f869a59, 0xc7f04ca1, 0x54ec4b8d, 0x4c7a829c, 0xd8e26fa5,
+    0xabdb3468, 0x125753e1, 0xf3b10391, 0xdc476c4b, 0xb552af3a, 0x9d67638c, 0xddbf0c0f, 0xcbf68ee4,
+    0x8420fe67, 0x34b27e40, 0x864a296f, 0xcd5fdfbf, 0x5cf0b26a, 0x33ce2f78, 0x80310044, 0xf66d18dc,
+    0x96cb469e, 0x2fbf2d7a, 0xb18f97e4, 0x4b2f643c, 0xcacdd09a, 0x539019c7, 0xe2236e56, 0x1e45e48c,
+    0x8d94ff83, 0xd7c67ec2, 0xac75eab4, 0x63cf50b4, 0xe8dca749, 0x21149fdd, 0x941a9021, 0xad6050d4,
+    0x26a43a88, 0x89bd9a48, 0xa494ba2d, 0x9ff3ecb6, 0xb07481f5, 0x6334ff8e, 0x41ff4a7a, 0xcd9703be,
+    0x00000000,
+    0x87a62f98, 0x9537f7d1, 0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e,
+    0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000001185\
+                          71099379011784113736688648896417641748464297615937576404566024103044751294464 */
+  { 0x00000000,
+    0x4bc6fe2a, 0x6104d733, 0x901f1e41, 0x98406e78, 0x7ec2f948, 0x10c0d7c6, 0x220c9caa, 0xc40e403e,
+    0xd65fac6e, 0xbc4285f6, 0x68513502, 0x5a167d54, 0xd4fa8a62, 0x8d0c1bc7, 0xfc18dcf9, 0x13c3ca54,
+    0x8d38dd47, 0x79f92351, 0xd70b4f72, 0xbd492634, 0xaaef3cca, 0xe388ac28, 0x4d8a21a0, 0x4bb37826,
+    0x29c225f5, 0xb1426f35, 0x9f00b08a, 0x3c8d0c19, 0xfb7f580a, 0xb1dc5c94, 0x86651fec, 0xeb585143,
+    0xb2430dba, 0x27bef3d8, 0x8e81f245, 0xc18da743, 0xf67570b0, 0x325dc56c, 0xec35f4d7, 0xe7de9cce,
+    0x60389092, 0x9a4ad454, 0x4a7e9020, 0x3f1a91d0, 0x7189db42, 0xa7fdeba3, 0x19931fa0, 0x3670df9c,
+    0xaaaf306f, 0xe7b9b116, 0x66d53014, 0xc3bf8dc7, 0xb23e0e88, 0xe6be23b0, 0x51aefcb0, 0x4cb3112e,
+    0x164a283c, 0x7317b24c, 0x277201c9, 0x9944cdb0, 0xba2560f5, 0xe2723d94, 0x7ce3a4ad, 0x2a6698cd,
+    0x20dcbcce, 0x0a74b740, 0x62974bc3, 0x97b0e7e4, 0xca0a5f70, 0x527dbd58, 0xedff61a2, 0xdf8d61d2,
+    0xa14c2849, 0xec09285b, 0x79cff007, 0xb622d9fd, 0x021e18ae, 0x6c6a0299, 0x122883b1, 0x479320ec,
+    0xcf3e02ff, 0x04398dc4, 0x5ce9c7b6, 0xc74a008f, 0x876187ce, 0x2b3b612e, 0x655446a8, 0x0ad6d34e,
+    0x756e2c99, 0x2c5eefed, 0x3e70a212, 0x322b4eab, 0x9df80a8d, 0x8eb7e708, 0x7ef4ab49, 0xee215441,
+    0xdaaa873b, 0xac1faa38, 0xe1643d80, 0x0950a32a, 0xff486c8b, 0xe526bb7b, 0x82ce2841, 0x7f66d442,
+    0x1fda7962, 0x508b7317, 0xee4fa18f, 0x8ffd72eb, 0xd9fbf727, 0x1d98dc88, 0xfe2fa253, 0x1b162852,
+    0xd9630cd8, 0x5e71715d, 0x756e1f05, 0xed0c1d45, 0x9ec614b2, 0xce7db39a, 0xf73a6b7a, 0xeb663885,
+    0x687e0048, 0xdbedd541, 0x9506ae8a, 0xe383e86a, 0xcf461bc8, 0xe1ed18b5, 0x176e523c, 0x7ba3aa99,
+    0x03611b53, 0x5a3b56b9, 0xe2a321dc, 0x111a1f30, 0xd4d214fc, 0x49b2bf90, 0xeca8ace3, 0xc4ebd1d4,
+    0x1fb30ba9, 0xd60c3eb3, 0xff21a465, 0xc8079be3, 0x34ff9666, 0x1dc2b4c6, 0x6f6dfedf, 0xa9e3900d,
+    0xf718faa8, 0xa0d48317, 0xca80a5c1, 0x402aebb3, 0xabfe7942, 0x29fd6ab8, 0x70e6b1d0, 0x1c4a5dac,
+    0xf502b3f2, 0x9acf998b, 0x75390abc, 0xfad038b3, 0x0eb6db2a, 0xc30f573c, 0x5425e855, 0x2646c885,
+    0x67914058, 0x27eaac60, 0x196a79fc, 0x410c1ce1, 0xfddfec8a, 0x6a5b8be6, 0xd6e99ba1, 0xdfa37505,
+    0x343512c4, 0x8463a6b5, 0xdf3d1ebd, 0x43b14997, 0x0754bf61, 0x2cc1070e, 0x3fef3fe3, 0xcebd7ba6,
+    0x5c0fce2e, 0xac850dc3, 0x824b2a67, 0x0ae78299, 0xfb1573ec, 0x322887bc, 0x029fc30f, 0x412a14f1,
+    0x8974db2a, 0x28242cb1, 0x4fe51def, 0xabde979d, 0x5f0a5114, 0x9b80ef66, 0x8abaa14f, 0x790dc099,
+    0x8d9d30c1, 0xd73f7119, 0xee1f5b2b, 0xbcae3734, 0x1696be2c, 0xdbebe487, 0xb279adae, 0x6e00b224,
+    0xf7617bf7, 0xc0ea6f7a, 0x1a3a1724, 0xf10b175a, 0x9b929ae7, 0x552adc20, 0x1d71345e, 0xe868313c,
+    0xa0ad34ff, 0x8555ecd9, 0x8d076ed1, 0x6564a0a7, 0xbdefcdfc, 0xdc5a5a84, 0x1522e8be, 0x9ea5b804,
+    0xfef8f165, 0x1d3d67c5, 0xaff23d93, 0x9aa18d6e, 0x0f5fcc3c, 0x50578d87, 0xa25354ab, 0x7ae4eb1a,
+    0xa6d175de, 0x088b93e1, 0x55fff45c, 0xe13b5c99, 0xe8e1f3b9, 0xe201939d, 0xa0192d3b, 0xa2594c9f,
+    0xe47d60e6, 0x3ba70481, 0x8883e975, 0xeead4cbe, 0xc1cf5ca9, 0x2a6241a9, 0x5845e3f4, 0x0b694c32,
+    0x389f750d, 0x86c266ad, 0xd9dba614, 0xc1d758a7, 0xc86f98a6, 0x2d60970d, 0x87bb46f3, 0x52a56743,
+    0xeccf380b, 0xbf49b257, 0xab979f72, 0x97cdb5f9, 0x087ffbe2, 0x81d06a9f, 0xf3945f11, 0x9713ef49,
+    0xdb142bfd, 0x56a3bebb, 0x854b2797, 0xc236eb7c, 0xf39fbe19, 0x328292ad, 0x4c30ebd3, 0x6b71839c,
+    0xd768dda0, 0xdf74ce0f, 0xe101447c, 0x684ffd08, 0x3d2ceb84, 0xd55727a6, 0xf30689b0, 0x1a0b8e09,
+    0x0204c74a, 0x00a263df, 0x96dc909a, 0x730e2c99, 0x761f1358, 0xa8e1ec6e, 0x742b79a9, 0x91992a7f,
+    0x9ec6b5bf, 0x8b9801fe, 0x4392bcc5, 0x62250c60, 0x23ff4e96, 0xe6bddafa, 0xd20da2b1, 0x4761a60c,
+    0x20d5209f, 0x6d746bc1, 0x89261fd6, 0xb747dcdc, 0x35bbb7ef, 0x281123ce, 0xf0c2070e, 0x6fb7ffe9,
+    0xdb92f0a9, 0xa17fbb1a, 0x602c3585, 0x25b1e1da, 0x04f26585, 0x8f6ce7aa, 0x5639e16d, 0x549d8252,
+    0xaae751f6, 0x741adbd0, 0x8eb99cdb, 0xe1b67d9a, 0x0a06724b, 0x935e767c, 0x6fb299bf, 0xbd198145,
+    0x05a5f609, 0x1d2d5572, 0xfe581c95, 0x37cded65, 0x167072d2, 0x96882cd0, 0xa800724e, 0x7c15adaa,
+    0x7370ef2b, 0xc876be18, 0xf3050a08, 0x863a5bc8, 0x00cd48dd, 0xb410edd1, 0xe41a8a33, 0xf3c323e7,
+    0x8b5b0cf5, 0xf75a7c8b, 0x211aa7b6, 0x3bb25a67, 0x12dfcdd3, 0x58d2e534, 0x82af5016, 0xd22acb25,
+    0x398d4ff7, 0x91b08fac, 0x4aae1c51, 0x9c4fb2ef, 0xedadbd5f, 0x86a37cf7, 0x4753d8ff, 0xfdb8c926,
+    0x9e0e6d09, 0x69cf607f, 0x3ce4a66e, 0x1859ba29, 0x8760755c, 0x8e174749, 0x481cd989, 0x95ab9397,
+    0x68104565, 0x440dc8b7, 0x9cba381e, 0xb69d71eb, 0x04735577, 0x99ea691e, 0x233a05ca, 0xee82b388,
+    0x766473fd, 0x020fb041, 0x4ebe4943, 0x82089d8a, 0xda078936, 0x10afaa9e, 0xc46ccbd2, 0x70f95257,
+    0xa95f5cb8, 0xb88211db, 0x43ff054b, 0x9eafe993, 0x013d0cec, 0x92c86f92, 0x1199b9fd, 0xa7427c28,
+    0x45517d0a, 0x7edca10f, 0x233a2b4a, 0x98951f5d, 0xd23455d6, 0x53616c3c, 0x7b01cbea, 0x0e14bc25,
+    0x097fceed, 0x14be692f, 0xef163761, 0xfeee2d36, 0x173cacab, 0x520ffa04, 0x40832087, 0x22f48700,
+    0x9672c0d3, 0x7c09c208, 0xeb5e24e2, 0x35936bca, 0xa686a925, 0xca6ca62d, 0x4ed54546, 0x5a98a2e8,
+    0xae07d89a, 0xcb3dc2d6, 0x2b5f1c89, 0x961803f2, 0x838d8777, 0xf67e6717, 0xf6c4c067, 0x1973a44d,
+    0x24364959, 0x2f410f8a, 0x92d7ee5b, 0xfd4a32de, 0xa78109ed, 0x534e4602, 0x01b9d307, 0xa9f3391f,
+    0xd9c84972, 0xf5d21a1c, 0xf9d0be83, 0x85a1073a, 0xe14564b5, 0x1931bafe, 0x528944ee, 0xf4ab6364,
+    0xa3b1df1e, 0x9c67b46a, 0xf2b519f9, 0xab5147b9, 0xcffb5197, 0x95bb0d78, 0x13cd049e, 0x9dd02fda,
+    0x54208c36, 0xaf7eaead, 0x40f60400, 0x915419c8, 0x599d469d, 0x90743b9e, 0xa1025a6a, 0x4a7e6ac5,
+    0xe12d0fb9, 0xab2a8e5f, 0xc29c1b85, 0x30386864, 0xce2291bc, 0x9a87d1fe, 0xaf12d9ba, 0x9de68755,
+    0x9db0e20b, 0x627bea87, 0x3d93227d, 0x19c51e27, 0x4ec56515, 0x5b8239a9, 0xe5d45b6c, 0x7f73d7ac,
+    0x5f2870e1, 0x04cc41db, 0x5bd94849, 0xec2ab5f6, 0x728e2c41, 0xedfbb105, 0xf9a8a85a, 0xec3c7103,
+    0xcd705e2a, 0x16888fcf, 0x59165cbb, 0xf15b4705, 0xa4951791, 0xb6154003, 0xcdff6d9a, 0x363ac5fa,
+    0x94ec3bc4, 0xf96fbeef, 0x1ae6d051, 0x9fdcdddc, 0xea3ca288, 0x26bcddca, 0x80d10b21, 0x063a4bf5,
+    0xb45ae9a1, 0x84a7df99, 0x66e2ddfa, 0x1daab283, 0xf0262a62, 0x682f5081, 0x37010eda, 0x6a8ef3f6,
+    0x68298ebf, 0xdc6c7e9b, 0x3de4bd78, 0xe73d8311, 0x35f07d0d, 0x0a5ebf43, 0xcf68d782, 0x5a9b91cd,
+    0x74852e51, 0xd27f2667, 0x7d502877, 0x8a3dcf40, 0x97eecec1, 0x8a12fd62, 0xebffbeef, 0x84d1ec0a,
+    0x5c6d812c, 0x8c124447, 0xd60aac72, 0x164655de, 0x6f7bd23f, 0x3e3e42bd, 0x7d9e601b, 0x6877acbe,
+    0x1328ba49, 0x826a9a60, 0xfb6a3cb1, 0x63fdf69b, 0x79289b09, 0x5ff3d83f, 0xa41b25ee, 0xee0e75b5,
+    0x5a3f9271, 0xfb34d64e, 0x7c8555a1, 0xc8c0e671, 0x7e5a98a9, 0x3114b475, 0x8acc0f91, 0xeb314f42,
+    0x80aa9e32, 0x58720004, 0x8d8ec612, 0x8031dadf, 0x7955f68c, 0xd3793a94, 0x7e0936f5, 0x4ff90e9b,
+    0xad95643c, 0xfa5a15fe, 0xac77672a, 0x47d9c258, 0x54a88c0c, 0xbb3879d1, 0x6bc8e551, 0x60fc349f,
+    0x984c4a08, 0x1294879e, 0xc411d831, 0x94f15fc5, 0xb7a93c63, 0x573f360e, 0xc633f9e1, 0x72d9e7bd,
+    0x21c2cb1f, 0x8b0dfeb1, 0x59670d1a, 0x4d5c670a, 0xb9142a50, 0xc632b6a2, 0x73bed9b8, 0xb4642330,
+    0xcc602bf0, 0x0ae4d77d, 0xe12e4815, 0xa1bc9572, 0xa0f6f0e5, 0xb8205fac, 0x3654f711, 0x9701c1f0,
+    0x24b06098, 0x277d3082, 0x9c2ca159, 0xec6a9342, 0x299b3ae2, 0xcddb28d1, 0xefc8ef14, 0xb0ab35e3,
+    0xed68dff7, 0xbcbb662d, 0x4fb9de63, 0x81f0c4bd, 0xbef4f2da, 0xd43cf371, 0x27b3a4d9, 0xadaae7ff,
+    0xf8bc5bf1, 0xc81e3ff9, 0x593b7822, 0x2ea06ab2, 0xcf02daee, 0xb1d5aace, 0x38884541, 0x6cab5207,
+    0x6db66082, 0x74271c22, 0x2a5f49bd, 0x642660ef, 0x591c2534, 0x5270f9d4, 0x3d0773a4, 0x8944879b,
+    0x8d977c12, 0x78dd129a, 0x9bf7c824, 0xb4a80e25, 0xd12759b3, 0xa53a7b49, 0x1f90e179, 0x5cbb97e3,
+    0xef0256b3, 0x9a283500, 0x8b81c1a7, 0x6e28f3dc, 0x98bbef38, 0x33d57736, 0xdcfb63cf, 0xbc4964ae,
+    0xc7b9e6eb, 0xec52fd0e, 0x89a8d0aa, 0xd9fc31d5, 0x436dcf56, 0x4a6a772a, 0x00cfa7b6, 0xd3a038a5,
+    0x2e5f4e91, 0xd780146c, 0xd68bad0a, 0x1b3b5603, 0xe7e609ce, 0x186c1902, 0xfeb3557c, 0xbf6ea2ed,
+    0x775ad150, 0xe1f95e5f, 0x8b6f6d3b, 0x35f61f8c, 0x926795f6, 0xc08bf3c4, 0x0b46c284, 0xbb9c3fd2,
+    0x896c7250, 0xdf25754a, 0xe776a4f4, 0xbff3ef78, 0xf5f03054, 0xe7d174b6, 0xb4dbd0ef, 0x2765a16b,
+    0xed04f8ac, 0x4de0740b, 0xe18aba30, 0xb4bcebdb, 0xe5342408, 0xdeb7b45e, 0xc6b0c847, 0xa4dff469,
+    0x539a5aa4, 0xcb5e257d, 0x9cfbb3b5, 0x52299cde, 0xdc6a6113, 0x25f5b870, 0x05478b8a, 0xfa981b61,
+    0x91e8661f, 0xc295275f, 0xb501d6be, 0x6fbed578, 0x623ba722, 0x46902ff2, 0x8696dfe1, 0xb1150ce5,
+    0x5e786597, 0x37823a78, 0x398d308b, 0x988c9eb0, 0xfe659288, 0xcb100d00, 0xca596f64, 0x35ccff1e,
+    0x62da3dfb, 0x7698dbf9, 0xf8e2b203, 0xa617a691, 0x8976ffad, 0x44929bf4, 0x00d14ade, 0xb0674157,
+    0xbf41dee8, 0x2993fc44, 0x8e8a06f2, 0x13d5e872, 0x44308e85, 0x74a2ac94, 0x34145743, 0xe8c73a59,
+    0xdff17ea5, 0x10a13423, 0xb914396f, 0x44d51020, 0x1757ec87, 0x308e6c95, 0x5e66c060, 0x9fbead57,
+    0x18a4b1e9, 0xaab1d645, 0xf6c06f58, 0xef89c98b, 0xc2c9c4f3, 0x39d76ea2, 0x08e67e5e, 0x3da46a2c,
+    0x90447ba3, 0x0febe587, 0x5c62712d, 0xdf2684fc, 0x465389fc, 0xe467e4e0, 0x8eff4559, 0x4ebbba26,
+    0x19dc0a81, 0x09dff176, 0x561371be, 0x6a5b2432, 0x818d7f57, 0x51c74bdd, 0xa16d6a5b, 0xe126a595,
+    0x1cdb3d56, 0x36f9b7f5, 0x87883ad4, 0x9201a306, 0xc6b36fbe, 0xd3d7c4b4, 0xe7465abb, 0xa14d9ed4,
+    0x60cf32cc, 0x34017c13, 0xc5443eb5, 0x90ea3ca9, 0x79be06eb, 0xa04e8fff, 0x7fd59df7, 0x72f2d4b6,
+    0xd14078da, 0xc069f3ad, 0x0f906e2f, 0xbe92dc14, 0x1a6df1a2, 0x99901f89, 0x795265c6, 0x971c7da3,
+    0x8d83a5c7, 0xdfc8d522, 0x98f0ce0b, 0x01dc3847, 0xa866281c, 0x694c67dc, 0xa151a22c, 0x33bc6ebf,
+    0x5720f2c9, 0xae79e71c, 0x81650354, 0x52bba029, 0x0abe9b16, 0x3f33962f, 0xe08223e6, 0xa254fd4f,
+    0xd50039b0, 0x8573c492, 0xd38f2c2d, 0x4a657e75, 0xfad238cb, 0xbdffcb55, 0x68e95523, 0xe84190cc,
+    0x6a6fa554, 0xfe907556, 0xb2c22bd6, 0x2bdb2a8c, 0xb9c689d2, 0x5cbf8627, 0xc50747a0, 0xf1b52d08,
+    0xdc44b843, 0x354635e2, 0x53f5eaf1, 0x018aa875, 0x8401a756, 0x56a9f64d, 0xb0c65eff, 0x6cc106d7,
+    0x3885fc53, 0x692644e3, 0x3b88e14a, 0xdbb6081e, 0x96a2b762, 0xd76ee4e7, 0x59d3bb9a, 0x7a0f3c6a,
+    0x6f767f46, 0x338e884e, 0xe4f7c0d7, 0x15874385, 0x7fc061ba, 0x2872cc30, 0xc09a6865, 0xab2572ee,
+    0xf02fb4fb, 0x331a56b5, 0xcc16c7f8, 0x30998285, 0xabb02cc5, 0x68513cc2, 0xe82623e9, 0x8e1197ab,
+    0x11e827c4, 0xd5db7994, 0xa1df37f7, 0xe7ea04d5, 0xbc3facdc, 0xfff8aa80, 0x0d75d4e2, 0xbee4ca29,
+    0x0b2a7c29, 0x4e1424d9, 0x4c3a5f21, 0x85a8498e, 0x224b627f, 0x6a959836, 0xd08a1873, 0x8fb10ece,
+    0xcdc00f1d, 0xa4d27e02, 0xb1b0b5f9, 0x9aa67886, 0xcb356628, 0x0271590d, 0x0c4779a4, 0xd41ed891,
+    0x5d776714, 0x17eb1a95, 0x222ae05b, 0x4b2c9568, 0x09198ae1, 0xac3c5e93, 0x8fa98cb8, 0x59fa020e,
+    0xd0e4a4b1, 0x16c95cfd, 0xd154719d, 0x37eb6d4c, 0x720621f1, 0xa8e0b45c, 0x8b3f315e, 0xacd94418,
+    0x2bb044b5, 0x61dafd16, 0xc1f27e11, 0xad284877, 0x901f5596, 0xac28c0ec, 0xc66b51a5, 0x491ee501,
+    0xfe445f72, 0xa31c6518, 0xaf9a8365, 0xd5fd2577, 0x34b3d511, 0x4ab03837, 0xdf12dc6b, 0xc6a0ee16,
+    0x562960c1, 0x47cd65d2, 0xf323a519, 0x12b7f3a1, 0xbbe6381f, 0xa708ec7c, 0xe8863220, 0x29614d3e,
+    0x968d8ef2, 0xb95a721c, 0x2775a548, 0x46ab8c37, 0xed2a5cdb, 0xd2128406, 0x375350d4, 0x624aa75f,
+    0x6b85b5b1, 0x6fe159d7, 0x1a8d31a2, 0xd83287b1, 0xe046bdc4, 0xaba3c543, 0x9bbbedb7, 0x781c321b,
+    0x478c2aec, 0x66cd95c3, 0x0f9f7b0b, 0x3b6e8cbf, 0xfa3318c4, 0x457bcff6, 0x586958c6, 0xa344180e,
+    0xe44d9f57, 0x50911af5, 0x454cbe58, 0xc74b05f5, 0x4358ddeb, 0x4a8619c1, 0x21dfa762, 0x0249e6d0,
+    0x7d285f63, 0x1abb2bf6, 0xa9568db5, 0xff5a4e35, 0x50a72a39, 0x5312e39d, 0xad3e9f54, 0x0db09725,
+    0xcd139531, 0xd14e539b, 0xe6fc8319, 0xb9ad5a15, 0x3ebec30b, 0x10fd4f25, 0x4ec92cad, 0x83073d3c,
+    0x188021a8, 0x9f6cef8a, 0xf89caa48, 0x89580d5c, 0x728fca49, 0x483eb2e3, 0xec1d6a8f, 0x5985c4c9,
+    0x97bac136, 0x341e8e8f, 0x35848808, 0xc005c249, 0xc1978085, 0x588ff1f2, 0xc02bb2c5, 0x968d4323,
+    0xcf0e0d71, 0x9b015993, 0x50bbf105, 0x83ff3f7e, 0x2a7a6675, 0x6cc24959, 0x434b936f, 0x3530c462,
+    0xce3a2fa1, 0x7bd93213, 0xe98248b6, 0x5c0b5bb7, 0x58768d9e, 0xbf37c9b0, 0xc140204b, 0xc83df42d,
+    0x36e09dbf, 0x1968e96e, 0x7e99e1b2, 0x0c847e6d, 0x8c77499a, 0x0c4c3152, 0x2bef3b5d, 0xdc239ecb,
+    0x21b15fef, 0x4f868699, 0x50e0c7a0, 0x2085d233, 0xaf824afc, 0xd5f03c68, 0xdd51963b, 0x4f24ca25,
+    0x55b6b82a, 0x77c0f923, 0x5adc8920, 0x5ef56d8d, 0x0ce4f2ae, 0x35ccf07c, 0x9feccd05, 0x571a7cc9,
+    0xfdfc2aa6, 0xba907906, 0x43530142, 0xe109afa8, 0x9ebfdceb, 0x36065151, 0x74507659, 0x797bd7d3,
+    0x1c7c12d6, 0x9e1e4a5a, 0x5beff461, 0x881eaf25, 0x8c312318, 0xbc1219b9, 0xa24ebe3e, 0x91f5f63f,
+    0x33c426df, 0x54bf5e29, 0x04543bf6, 0x490d51ba, 0xb2e5d83c, 0x7c74ffff, 0x4618bc4d, 0xe56a1cee,
+    0x00000000,
+    0xc3d317cb, 0x4a9bfbe8, 0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197,
+    0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000592\
+                          85549689505892056868344324448208820874232148807968788202283012051522375647232 */
+  { 0x00000000,
+    0xa443e5e6, 0xe34071de, 0x9fb4393d, 0x54eabaaa, 0xac9d4995, 0xbb7ba7a6, 0xd3a722f8, 0x8f61237e,
+    0x782051e4, 0x2907a02b, 0x4ef3e67c, 0x1ff358df, 0x8e507b8d, 0xfa4a305c, 0x1262e1f1, 0x90938807,
+    0xbf43820e, 0x1d6d628a, 0x7b617485, 0x80ff5462, 0xbbebe56d, 0x7b80e6c2, 0x939081dc, 0x87eed952,
+    0xac2e0e28, 0x0582c404, 0xe58a1dc7, 0x9e787a46, 0xefc83fb6, 0xc841db97, 0x92c119f1, 0x4a53d343,
+    0x61d3064e, 0xef0081ab, 0xecf79ff3, 0x46473915, 0x9c400a3a, 0x1cec5ab5, 0xebba54cc, 0x2f13eb68,
+    0x93deabc1, 0x02f9d0e7, 0xa6c11033, 0xce029ff6, 0x9cb56572, 0x34a9a5fb, 0xbe77559c, 0x0354dac9,
+    0xb2861735, 0x39b77a60, 0x7fb7044c, 0xe70bb924, 0x60e293d3, 0x4f62580c, 0xce196689, 0x41750b8c,
+    0xeea3863d, 0x2d9d71ce, 0x021f87e9, 0x4dd6da4d, 0xffbb76a9, 0xba2c6341, 0xbca1137f, 0xfb42a404,
+    0xe6e1daae, 0xccb9dd78, 0x9cb0ca80, 0x10faec6f, 0x120b73a6, 0xc3d8540d, 0xdaa1d5af, 0x7a9a064f,
+    0x30cd9313, 0x524561ec, 0x862ba5fe, 0x8298f09f, 0x6a989196, 0xb63eb30d, 0xba23f95b, 0x42da936f,
+    0xc1b30932, 0x6488b4b6, 0x315f6730, 0x9d222a1f, 0x44be3b77, 0x2203fa78, 0xc9d3dc7e, 0xc3209be4,
+    0x75a6fb11, 0xaf7d204f, 0x33aab507, 0x48050fed, 0x8e54f109, 0xf1696c66, 0xaabbd5af, 0x7f2b48a9,
+    0xa29d796f, 0xfd3d057f, 0x7c4ffd6a, 0x5fca5df2, 0x1a3512c0, 0x14ecba4c, 0x2925f92a, 0xf1c56470,
+    0x6da46524, 0x3ff185f4, 0x54eeeeac, 0x64870177, 0xb3272837, 0x718fa4c3, 0x580455e1, 0xe85f8801,
+    0x5cf27024, 0xc2b97b3f, 0x1af65ed9, 0xfb7d6fba, 0xb2f5ef40, 0xd8c4dabf, 0x0900da85, 0xbb887363,
+    0xfbf0756b, 0x803442b2, 0x5975923c, 0x1a24f59a, 0x7b249432, 0xeb37427a, 0xc24fb289, 0x0f68f635,
+    0xbee37671, 0x6a9781e4, 0x4e09a445, 0x5b7e6225, 0xf69f6a9d, 0xfe56ab39, 0x6d38dbea, 0x8c179848,
+    0x84324e1b, 0xb2171018, 0xe1fab446, 0x60949c5c, 0xa4e39f24, 0xe889c4fd, 0xa60016d6, 0x46d33bbf,
+    0x6be991ac, 0xc25b6be4, 0x6d9978a2, 0xc5154e06, 0x9046ccd1, 0x2f32c64b, 0x3ea640a2, 0x1b456d26,
+    0x0de9892d, 0x8a64fae7, 0x40825418, 0x849a1969, 0xf1a58b8d, 0x802dd72e, 0x65f1f91c, 0x739f7892,
+    0x69252faa, 0xf3ff2cc3, 0x8b06145f, 0xd2ff8667, 0xc6dea105, 0x7fc34f1e, 0x5d476dc1, 0x8d9dd044,
+    0x5778cbe2, 0xe567d0b3, 0xa7bb8208, 0xae1cb07a, 0x92aff4f8, 0x8489bb39, 0xc4549956, 0x1e3c854a,
+    0x6793b84c, 0x8f006ff4, 0xff25b79e, 0x53178d9b, 0x9dc8583d, 0x1520758a, 0xf71c312f, 0x56791ab9,
+    0xab79b9ab, 0x34e7442b, 0xd3d098c5, 0xe2ccfaa6, 0xf5c6546b, 0x73f4555c, 0xaff66dc0, 0x2d683370,
+    0x1cbc8b71, 0x248b932c, 0x6fb10b07, 0x00382d45, 0xdee20c14, 0xda289b5f, 0x1b37ed9c, 0xeb53c1c5,
+    0x835267ac, 0x8dde38fd, 0x7dd1b3e7, 0x76f06893, 0xd4512d2c, 0x56e472fd, 0x3929c829, 0xf67b1aa3,
+    0x6cdde668, 0x0aa2b8ff, 0x7d45f041, 0x437d8558, 0x5c66b796, 0x96e1e2b7, 0xc87715fc, 0x9e49d683,
+    0xa7fdc610, 0x2c8717a1, 0x427af58d, 0x11994cbd, 0x0a0a490f, 0x942c6f01, 0xb810f152, 0xf64278a4,
+    0x693b7d7a, 0x5afe5ef2, 0xbfa34460, 0x39e921a1, 0x9ca35b7f, 0xf3d81415, 0xca0c0d24, 0xcb9828a2,
+    0x084707a2, 0x18882c0d, 0x8f652fdc, 0x8db06d60, 0xf2ca76b3, 0xc099e4f9, 0x0e88c82d, 0x4797a8b0,
+    0x9f1125f9, 0xc204e523, 0x2090f590, 0x8b5f38d9, 0xef424867, 0x45fea5c1, 0x96c82548, 0x13e271fc,
+    0xd408ad33, 0x6c7bf277, 0x687a5989, 0x20b6ef7c, 0xb67696ae, 0x8224a064, 0x53c3c0fc, 0xd4a7967d,
+    0xdaec90e5, 0x26f0b92e, 0xef7db574, 0x5ea99574, 0x490e5c79, 0xf8c42972, 0x5172c0c9, 0x0366d4c3,
+    0x34269205, 0x1d64db34, 0x86f1811a, 0xd7738095, 0x05b43861, 0xb76a8a36, 0x95c655bb, 0xec943c95,
+    0xd09b1f8c, 0xb5cbe107, 0xbcf8041f, 0x7c62128f, 0x12222f69, 0xb4667ee2, 0x652b8623, 0xc934ed29,
+    0xc0a78953, 0xb2989254, 0x067d491b, 0x663b7141, 0x12179c69, 0x2c7015a0, 0x9b9a7de2, 0x4aa81a2d,
+    0x44859987, 0x7cae592d, 0xcb50ea03, 0x07f7447f, 0xb50b44d3, 0x9b563c36, 0x87cb6515, 0x683fc8e3,
+    0x824aa600, 0xe144723f, 0xe6721740, 0x0909164d, 0xab24dba8, 0xd212d1d8, 0xef8e8a2e, 0xa5ddd707,
+    0x2f5ddaa8, 0x278d7993, 0x85646d57, 0x729f4439, 0xb238b815, 0xeeab055b, 0x4b8c4402, 0x0441931f,
+    0xace728a4, 0xfc31a49e, 0x23aacda9, 0x9ade1f08, 0xd4e8f6c7, 0xd6028743, 0xaad0e68d, 0x972d6242,
+    0x3b41259e, 0x35323aa2, 0xf0c4528f, 0x1b5765b2, 0x88b57d27, 0x03b254ff, 0xa8a7508d, 0xfc03e431,
+    0x362be176, 0xf3d3017c, 0x8337573c, 0x4763e46f, 0x7b4c76a7, 0xcbdec35a, 0x552ae5bf, 0x1abfa80a,
+    0x806287e7, 0xbdd0f9d6, 0x383b1fc6, 0x8c1564e2, 0x2ca7676d, 0xf2e97061, 0x9bb11d04, 0x53b6a03c,
+    0x662859cf, 0xcf0de4a0, 0x790b4274, 0xd2a0a5ce, 0x1aeb0d68, 0x682ca12d, 0xa1b4c789, 0xf6000d90,
+    0xaca78138, 0xb14d0c95, 0xbfe4daf2, 0xe929a824, 0x1c3a0e42, 0xaf106b4a, 0x22ea742c, 0xcc364490,
+    0x4e796f23, 0x45cb7581, 0x3f5c7cb3, 0x9754e19f, 0x7d1eb783, 0x7dd7284c, 0x26269ac5, 0xfb2e9b63,
+    0xd6c9a7d4, 0x5487a1f8, 0x45ad1da5, 0x6c4b533b, 0x010c1f23, 0x546fc036, 0x0f0f98ff, 0xcfdb11af,
+    0x12d46257, 0x6f2c8f8d, 0x444c44bf, 0x590da98d, 0xb6bf8638, 0xaa2f5dfb, 0x91140124, 0xe0a56494,
+    0x53b75be6, 0x3c40688f, 0x93109762, 0x9886aa21, 0xeaed6d13, 0x2eaba2d7, 0xd819d7c4, 0xcad886a2,
+    0x6fb92f60, 0x3ba411f2, 0x1c5e5846, 0xbb1bfb56, 0xb60f0936, 0xfc61f5fd, 0xc257cc0b, 0xf77abb77,
+    0x3c3c0eca, 0xb3d8aea6, 0x6c6a6ca0, 0xf52d50a8, 0x17d4e3ff, 0xf559ae32, 0xd52ac3f9, 0x74beeb4f,
+    0x3da2bf43, 0x187d207a, 0x329ecc4d, 0xf26941e8, 0xfa583fdd, 0x853a34c5, 0x062662ea, 0x85cee1b2,
+    0xd81fbf68, 0x30c26892, 0xa6a3d6ed, 0xd957a21e, 0x65c2eee0, 0xa4b25305, 0xc59b4f2b, 0x65bda580,
+    0xe16c5286, 0xfaa2c887, 0xca753e04, 0x1fbff399, 0xa42e59ad, 0x5eebd862, 0xe9ae6b96, 0xaf747632,
+    0xcd8c98b2, 0x140762fc, 0xa689e884, 0x53d9963b, 0xc00ab542, 0x7fb7c051, 0x65c804ed, 0x65183cb9,
+    0x5c0d2dbd, 0xb0312b8d, 0x6e4216ab, 0x8f92ee0c, 0xa5c338aa, 0xdd6dc1d8, 0xcfad0294, 0x2b2689d0,
+    0x3ce66328, 0xeb4f1f33, 0x1a8047b8, 0x43e1beb6, 0xcec744f0, 0xcbb1334a, 0xdd1c7f3c, 0x8b493019,
+    0xc2b59a5e, 0xede12fe2, 0x26fd1388, 0xb6250295, 0x5525d657, 0xae490772, 0x5968f51b, 0xf84774c9,
+    0x74ceadf7, 0x8a1b0908, 0xbfa06b21, 0x58ba6843, 0xe701d63a, 0x074b9f05, 0x17a07287, 0x5bc4c84b,
+    0xba4eb9c2, 0xa2c95bbf, 0xd22efb3a, 0x6256d21d, 0x518359a7, 0xf16af28b, 0xa6f69dd8, 0xab0a47d5,
+    0x4c7dacf9, 0xc02491b4, 0x2d8e2fd9, 0xb2322831, 0xb5f82ad5, 0xc0c202f3, 0x9163f430, 0x9483e71d,
+    0xad4b0257, 0x3fae6513, 0x72e2d0ab, 0x79bb864c, 0x99cbd1c5, 0x277939bc, 0x7275f84b, 0x714738fb,
+    0x3d3fe4de, 0x4bdba068, 0x1b121fd2, 0xe2c9e88c, 0x48a044e5, 0xde3868da, 0x2c70f288, 0x81ed2613,
+    0xf56a781f, 0xee4d6d1b, 0x02fc4f96, 0xa2314852, 0xa951052e, 0x9a765e20, 0x35e56698, 0xf01f7fa4,
+    0x245f7650, 0x4e1f0ae8, 0xc13f6c7b, 0xc75a37ae, 0xa69d66dc, 0xc1260db1, 0xe063e157, 0xfb449624,
+    0xb016c6a4, 0x759073b8, 0x031d9843, 0xa9e2027e, 0xb3a22ce4, 0x8d12ffe3, 0xb5e256ac, 0x650389c2,
+    0xa1a7b441, 0x9b8d74ae, 0xfbaf7354, 0x60e30734, 0x33c2f647, 0x44e695e3, 0x6b3292f1, 0x6208ea04,
+    0xa9cdc5c7, 0xe8cf92e3, 0xeb29b099, 0x9aba2b28, 0x65b8d2f4, 0x47dfeb82, 0x9ed4ecf3, 0x1ebb6408,
+    0x7c9546d3, 0x4bffb3f6, 0x0ba506c2, 0x0ef1cc57, 0xa29c9dad, 0x04254a1e, 0x5e6d8e81, 0x3637f584,
+    0xddf7205b, 0x2697729d, 0x65ce6afa, 0x5afb8ede, 0x3725c88a, 0xd6214553, 0x17dc7be3, 0x22afee13,
+    0xc8eafd09, 0x9581f056, 0x11161676, 0xf3575022, 0x15b3a46d, 0x2e36aa98, 0x8b0ddea4, 0x0480c453,
+    0x92698bed, 0xad1bb1f9, 0xb8616403, 0x6757c71e, 0x5c0c363c, 0x06a768f8, 0x2238e192, 0x723b4828,
+    0x5d429ec6, 0xf768fb10, 0x77f1e4bc, 0x62f39d99, 0xd88ce97e, 0xe90e6158, 0x965c372c, 0x7e3bf567,
+    0x176d0357, 0x4356c111, 0x5100765b, 0x2a952a91, 0x4db10b10, 0xb42fe12e, 0x684a2b45, 0xe94a46da,
+    0x7af71a6b, 0xc99bfb8e, 0xe27c9ea7, 0x6cb00362, 0xb2c69cf7, 0x90f6fd76, 0x2022b90e, 0x0fb1076f,
+    0xb8072a31, 0xca8144fd, 0x4fddd731, 0x51ff214a, 0xa4e265a9, 0x8b51e9cf, 0x366fbc73, 0x159e70e4,
+    0x4d415066, 0x817cd8c8, 0x8ac295af, 0x8dc422cb, 0xdbf63a87, 0xc9150030, 0xac15ad5d, 0x54eb0bbd,
+    0x2fd0f61f, 0x55f0bd03, 0x1d166bc3, 0x87c51e4c, 0xf6015f91, 0xfe32f499, 0x6c74a739, 0x2332dc9b,
+    0xcf04dece, 0x44a1a5e0, 0x7fd27fe7, 0x4edfe799, 0xeb41d342, 0xe21ea939, 0x879fe271, 0xbbfb0794,
+    0xe7fcd921, 0x3bcdb779, 0x79400573, 0x8d285391, 0xcc9e8b03, 0x757ed61e, 0x64d96d5c, 0x3ecb1d60,
+    0xe5db9ed8, 0x34ff525c, 0x1d983065, 0xa0dc0dbe, 0x19dbaa01, 0x990c115d, 0x19c84cf4, 0x27c4a6f5,
+    0xf194b843, 0xb34d69cb, 0x86e8e4bd, 0x90a310d6, 0xa0e2b1d4, 0xef60eb94, 0xeab6fe5e, 0xf3be4baa,
+    0xf97509d4, 0xd3a9b11c, 0x2971479a, 0x0d2e1a0e, 0xecaccb5f, 0x11ca9fe9, 0x3d200586, 0x5e184126,
+    0x7e24154c, 0x9406a4b9, 0xac090788, 0xbca7d743, 0xb5bb17dc, 0x56137d41, 0x53fce31f, 0x2ddb1797,
+    0xb3a26bfd, 0x10465b85, 0xc87948f2, 0xd38f30f9, 0x26eb7ac4, 0x357b8693, 0xb6f27b6c, 0xc32c7e15,
+    0xf1be109e, 0x0aa77cea, 0xc7e01e3a, 0xc068818d, 0x5eee21ff, 0x0246bf07, 0xf3c98035, 0x4bc90357,
+    0x5a179cb7, 0x107624dc, 0x230e22a7, 0xb9f33775, 0xe1a5743b, 0x9ee11f77, 0x81f40194, 0x2d43e741,
+    0x842e7261, 0x7df4b8f3, 0x7e1fbc0a, 0xfe230df7, 0xe6f63375, 0xf7c596bc, 0x7f6f6385, 0x31c37c16,
+    0x6771ff8f, 0x4c3c31ba, 0x86145358, 0x69506534, 0xc2ff20e7, 0xf1693b7c, 0x7d60557e, 0x8b26f53f,
+    0x2fe7074a, 0xd668baa9, 0x0fe2373d, 0x3a02b389, 0x95eba0f4, 0xcd10a8b2, 0x864ca049, 0x118be01f,
+    0x5c56438d, 0x377f8cef, 0x34023acf, 0xce309ff4, 0xe6b5106c, 0x32cea241, 0xb605f96d, 0x762bc56f,
+    0x64c8a95c, 0x95628677, 0x53f06ffc, 0x5898b062, 0x2f64c550, 0x95572632, 0xdb5a5d38, 0x8bf6ec37,
+    0xf2483041, 0x53c1769e, 0x227f065e, 0x2afa72ee, 0xda87532f, 0x457c4ca2, 0x1531e909, 0xfaf67e81,
+    0x01626f7d, 0xb577f8b9, 0xa8f4bd90, 0xd2ee0a3f, 0xbd6a08be, 0x52cbf3b6, 0x67e89fa9, 0x4d1aed78,
+    0xbbd88367, 0x3ed574c1, 0xd1d63fb5, 0x273d5c75, 0xc4a707de, 0xbe54bc52, 0x3aab9f41, 0xaf7935d2,
+    0xe791e020, 0x993fe48f, 0x6c300c80, 0xaa59eae5, 0x21cd53f4, 0xdd0debf4, 0x87fc666d, 0x008fc317,
+    0x279bf74a, 0x24046cc4, 0xba3d2f7e, 0xd4afe0f6, 0x415c9e3a, 0x5d0e67f2, 0xa2ed5624, 0x1d54371b,
+    0xc3da78a6, 0x46338360, 0x135fd5ed, 0x4b6118c5, 0x9fb9ddf9, 0x62ebb44d, 0xfa5411e3, 0xdfc2fa65,
+    0xb8fb87b8, 0x8f2bb802, 0x7aa97995, 0xa19f16d0, 0xbb055d43, 0x6a30eee7, 0xa4e2ab7d, 0xa54d1aa5,
+    0x5c0744e9, 0x80e2bb19, 0x05ca655d, 0x38e87882, 0x571698d3, 0x86daeeb1, 0x47ed3b36, 0x522d4c93,
+    0x74ef853e, 0x65528b0b, 0xf17e2349, 0xc13af1c8, 0x5533488c, 0x10f059e7, 0xe581f67c, 0x9399ea6a,
+    0x05de8d75, 0x4283874d, 0x92821211, 0x3d6edd62, 0x95f88ed4, 0xf8f8cb40, 0x3b3032a3, 0xbebb3d04,
+    0xe326b4c8, 0x429f1492, 0x2c63cc0a, 0x419c47c8, 0xb4eb0c41, 0xc2febfb5, 0x073eddd9, 0xf7fc47d0,
+    0x5988a7a5, 0x5a97e254, 0x7e6249d0, 0x67b6c710, 0xb684f875, 0x390a6dd9, 0x24938c98, 0x0c93ac45,
+    0x3a5981fb, 0xe276a151, 0x247c4600, 0x1c62544c, 0xf9a8746a, 0xf5a4aa60, 0x1cb77ced, 0x51901c54,
+    0xcb21bab3, 0xd8718f99, 0xac2d6f7a, 0x52745bc6, 0x70b7fc09, 0xe13c0ccf, 0x18b8d9f6, 0xfffe474e,
+    0x96ca49df, 0x435a88b5, 0x0bc23ea2, 0x326b3729, 0x6d848dc2, 0x68a32391, 0x198b6280, 0x7dd79141,
+    0x933bfaf9, 0x437ae2e5, 0xc4b62b36, 0x56bad648, 0x719f32f3, 0x511efd1a, 0xc1cd3479, 0x227252ae,
+    0x8d5ac535, 0xc7413d74, 0x428eb98e, 0x39e63125, 0x1a2385b5, 0x8700f47e, 0x5ca1f87d, 0x0f90f02a,
+    0x9f531936, 0x838121d3, 0x6954f090, 0xfbf61bc3, 0xbad39b37, 0x57bffadb, 0x093f8179, 0x2ed6bb08,
+    0xd7ac30b5, 0x6130192c, 0xe93d6245, 0x121c02fd, 0x7ebc64f1, 0x6f792bc2, 0x59183a26, 0x49962b55,
+    0x79d5dfed, 0x6a54000a, 0x6a8427c2, 0x578582b2, 0x959a2ef9, 0x4d59e6f6, 0xab0b6c00, 0x8b042b65,
+    0xc6b84e3b, 0x609780d0, 0xb6513684, 0x814ee569, 0xf1b1184a, 0x3770737c, 0x7ca6e862, 0x44bb0bae,
+    0xa08db43e, 0x4177720c, 0xdeca68a4, 0x47291aad, 0x8540807e, 0xf7003713, 0x36423d3f, 0xf6df6f18,
+    0x8990a5f2, 0x7dcc4fb8, 0x5d950822, 0x49c36a66, 0xe35aa8ef, 0xf6cb3a21, 0x4d81984c, 0x695108be,
+    0x8aecf09a, 0x2d2fcc34, 0x999bf760, 0x5b68e9ea, 0xec27442e, 0xe0279f64, 0x7569362b, 0x2bdbfe20,
+    0x2dce0fb8, 0x7f690260, 0x1414e61a, 0x02d5a40d, 0xc8540c19, 0x38b57f2f, 0xdf520ca7, 0x364ccc44,
+    0x5e80ee2f, 0x9ca81f8c, 0x8928c423, 0x8103d96e, 0x88c80776, 0x911eee90, 0x3b7bc1ee, 0x3e3ed74b,
+    0x11d94ac4, 0x31dae374, 0x48731d72, 0x6a908709, 0x1f567517, 0xb46bfd3c, 0xe7c2c375, 0x08e0fe1b,
+    0xdd956ec2, 0xff4af6ea, 0x5ca1e95b, 0x2b5ba81f, 0xbc131529, 0x1919a904, 0x3ed4527b, 0x3bb7ea45,
+    0xd2ed6846, 0x858dd9a8, 0x85a79cbf, 0x398a67fe, 0x26d8c81f, 0x4aae87b1, 0x95a032ce, 0x02a84e74,
+    0x4bab2d47, 0xa483c1c4, 0x93bf1468, 0x17fed64e, 0xbb8a4c8f, 0xba99706a, 0x9b0aa806, 0x7f7f7a08,
+    0x0d5a2472, 0x77c3de75, 0x910def13, 0xf8a07614, 0x4091676b, 0xeb4b098b, 0x5c7e00c9, 0x3cc2c12e,
+    0xf71e6db9, 0x44a0bd87, 0x8bd9819a, 0x086f58e3, 0xa8f1f39c, 0x5884581d, 0x409243f4, 0x0fd38199,
+    0x993da377, 0x8044d718, 0xcecfd6bc, 0x3ebaf990, 0x369eed8f, 0xf3951489, 0xd2f826e1, 0xe5e4026c,
+    0x901e255c, 0xa8f4d989, 0x637f6020, 0xc8b67ec9, 0x9b2d24e8, 0x671010e1, 0x07fabd30, 0xab5cc342,
+    0x00000000,
+    0x61e98be5, 0x254dfdf4, 0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb,
+    0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000296\
+                          42774844752946028434172162224104410437116074403984394101141506025761187823616 */
+  { 0x00000000,
+    0x1897e943, 0x5c3f2859, 0xd4b00b84, 0x433cf55e, 0x9a37daa0, 0xf3b21bb7, 0xfa307eab, 0x2f017e64,
+    0x6ae64e0b, 0xd8478162, 0xbaeb19b7, 0x6e1de04b, 0xd3b075b0, 0x15738cad, 0x39eff7e6, 0xe5720c74,
+    0xdcde5b90, 0xe192e5e6, 0x02c9d02d, 0x7b43f383, 0x03bbdbe2, 0x83b4683d, 0xf2ecebfc, 0xa0cea000,
+    0x83be530c, 0xc2e32c0c, 0xe92e036f, 0x1f7e01ce, 0xb43b78e3, 0xbbb677fd, 0xa1a64f9e, 0x0346a054,
+    0x77e86719, 0x825b2a98, 0x880c5294, 0x9b271ebd, 0x956fd839, 0x9ae67a8d, 0x1ce5491a, 0x9e4c5b74,
+    0xd87856a5, 0x75c5fdc6, 0xefff8efd, 0x1e68e73f, 0x013e2cd2, 0xfbb67748, 0xc51daf3e, 0x409d57bc,
+    0x3b17c60a, 0x034fe767, 0x0c0604a4, 0x6e2bdec0, 0x1bb1b7a3, 0x2d73dcf9, 0x89e1ceb0, 0x8f4e8800,
+    0xfd7b4bad, 0xd3334670, 0x8b3753e2, 0x03097e3f, 0x83c11f77, 0xc280375b, 0x43fa761d, 0x7ece5d17,
+    0x0efea8f8, 0x51caad20, 0xec87a9af, 0x21860e17, 0x980cdb69, 0x60e45f35, 0x05bc46af, 0x3e5ce304,
+    0xadef9760, 0xb62a0b0f, 0x70e71ed3, 0x862b03b3, 0x6a57b1ef, 0x758c5e04, 0x470f82f2, 0x80d402eb,
+    0xc7fe020c, 0xd8269c3d, 0xe0a7d35b, 0xb6c1651a, 0x57227a1c, 0x6e7bc2c7, 0x45464958, 0x27c88fe4,
+    0xfcb47445, 0x0fe369ad, 0x164be153, 0xd7d167fe, 0x91cb604a, 0xb6811cb2, 0xec096ca1, 0x7f0e0fb3,
+    0xbf618b2f, 0x3b8a9895, 0x00f648c0, 0x0c48ecc4, 0x7b075a5a, 0x2cadce4c, 0x452ce1be, 0x927a801f,
+    0x0056a4bb, 0xc6fb524f, 0x4a4238b0, 0x1c3c777b, 0x13f5f5c7, 0x3ec1ced0, 0xa6cbcd5c, 0x1f8a0e65,
+    0xd05f12a5, 0xb68aa45f, 0xa72add65, 0xe86afe70, 0xe8cd6736, 0xebeef94b, 0x3991fb2c, 0x6141aa41,
+    0x349a5bac, 0x82ceebf7, 0xc6e21b31, 0xfbdcc8d8, 0xb1b856fb, 0x2ab495fb, 0x749ddf0e, 0xe1cdd87d,
+    0x42a6fb0a, 0x74a2f14a, 0x6a97a938, 0x28e2d6cb, 0x8e7facd7, 0x4aea8709, 0xf6a29dde, 0x69f44391,
+    0x1a7e4b3c, 0x2ff44b9d, 0x795493e8, 0x758f136a, 0x04ed1e26, 0x6faf323e, 0xc0e0c478, 0x625c2735,
+    0x9791203e, 0x617f3995, 0x5f2f45e2, 0x6c207613, 0xb2b45aca, 0xa328a4b4, 0xf2f1736e, 0xcf092da4,
+    0x3817c901, 0x4e38643a, 0x431ee26f, 0x8df6c01e, 0xb3e9e95c, 0xd21964f0, 0xc6d022cc, 0x54f48c3b,
+    0xb37e35f6, 0xcadf21c5, 0xfc26fd78, 0x3e70322b, 0x6ee34016, 0x6b254fcd, 0xe2a71aac, 0xc546535b,
+    0x2088d9b7, 0xd82635f9, 0x13428edb, 0x2f32557d, 0x6b2b3c3b, 0x6ae84751, 0x38c12ef9, 0xf7901bfe,
+    0x3b4e2088, 0xbaa3f923, 0x6339a463, 0x97dff271, 0x4b00841d, 0x263a187d, 0x7ca61202, 0x4e2c4493,
+    0x21ba8e1c, 0x64ec5e26, 0x8e673fdf, 0xf473da2c, 0x737b80a9, 0x0bfaadb8, 0x715742ee, 0x7668df20,
+    0x25a90420, 0xb6eaa386, 0x4180187f, 0xaefc94cd, 0xb0288078, 0xc64e1ad6, 0x55af1df8, 0x788dfd3e,
+    0x7c1d22fe, 0x4c18775b, 0xfa9be196, 0xa56c630d, 0xfa2d44ba, 0xba906414, 0x438d5b04, 0x0fd54e6a,
+    0xb08dc6e5, 0x3705bc89, 0x3cd23828, 0xf01263d7, 0x324d2ea5, 0xd69edb85, 0xa381631e, 0xe7bd6cd5,
+    0x40ecd4d6, 0x53274ecd, 0x6c5b20c9, 0x9151c52e, 0xa47dc860, 0x42f0a800, 0x1318b9a0, 0x136ac89a,
+    0x3ae93d7b, 0x145a6600, 0xf0d59bf9, 0x6ae9107a, 0x10bd9a97, 0x05dd9517, 0x863b7eec, 0x27c2966a,
+    0xc550c4bc, 0xc90135dd, 0x2e3d12e9, 0xa424fc02, 0x5fa5bc2c, 0x6b5acde7, 0x35ad362e, 0xd5a5a250,
+    0x33b93d18, 0xc635b8d8, 0xc8c1585e, 0x2726db9c, 0xfc28c571, 0x4309e19d, 0xfd9da842, 0xa781897f,
+    0xa8cfcb66, 0x703e76d7, 0x719e3976, 0x74616ecc, 0x8f7f1cf8, 0xe6c587c9, 0xcc02d329, 0x3cbd49ce,
+    0x10ed3bbe, 0xe82ff637, 0x375fd8a7, 0x21624ae0, 0x751e3e0e, 0xea14f1d6, 0x2fb374ed, 0x61b3567c,
+    0xfc999be6, 0x90b23e47, 0xfa0fc2b2, 0xe5c413d7, 0xc8463dd1, 0x8b051062, 0xe3ffcba7, 0xdcce96c5,
+    0x289bd170, 0x9e595d37, 0x8aa01268, 0x7745f6c1, 0x00586e11, 0xe8aa9fec, 0x6421eed9, 0x620622d5,
+    0x560641bd, 0xb3a4dec7, 0xb1055250, 0x7c9a3e95, 0x022be3f3, 0xa468d51f, 0x2276ef28, 0xfca29b9b,
+    0x1a7826d5, 0x388eba2c, 0x8cb47554, 0x2d89939f, 0xb63648b3, 0xf54e38f0, 0xc3cb33f7, 0x289ffadf,
+    0x14c57034, 0xab7082bd, 0xfbaf66bf, 0xc640684a, 0x5b8441c7, 0x976f1ffe, 0xb87cfe4e, 0x4ea61cc3,
+    0xc722810c, 0xc69a179f, 0x2b2e4757, 0x4d516308, 0xd69f8874, 0x5c03c62f, 0x2ca1806b, 0x4177b732,
+    0x27e6f270, 0x3dfc6edc, 0xd883ea16, 0xb695f34f, 0x6c7b60c0, 0xc6ac205b, 0xa9d0de53, 0x7492e1d9,
+    0xa26a7e9a, 0x96831d94, 0x43ca3e4f, 0x242280e9, 0xb7794fae, 0x3dba806d, 0xadf0664c, 0xcde919ab,
+    0xdb71563d, 0x7a84a7fd, 0x956be174, 0x6dcdcde0, 0x0b38e8bd, 0xa6317989, 0x5cee2cec, 0x2dbde2a1,
+    0xceb6679f, 0xe125659d, 0xf16e810e, 0xee603432, 0x5b7c9e0d, 0xc10a63d0, 0x64322083, 0x5214e007,
+    0xd51e4ef8, 0xaa31e905, 0x430706e9, 0x49b74907, 0x108f46f1, 0x68c5f223, 0x47394f2e, 0xbe52ac85,
+    0x75ff0c3a, 0x435ca801, 0x4e743c16, 0x43a9a825, 0x3d294e6b, 0x14aff173, 0x1fe9f886, 0xe6157f6f,
+    0xdaaca232, 0xae7c02b5, 0xbf84b4a4, 0x11bf48ce, 0x2c6d2d67, 0x4c37ef87, 0x39ab4d09, 0x8d99768e,
+    0xd936084b, 0x5c17b469, 0xed6e0e48, 0x7b0beeb1, 0xde22eaeb, 0xf7df17e9, 0x6dd0e5c0, 0xeb2d6249,
+    0xcd2cf99f, 0x7aefa806, 0xe381f776, 0x8a70b5bc, 0xa02ffe10, 0x3f154b1d, 0x481103f4, 0x82a63cb9,
+    0x9643a2a6, 0x32c65871, 0x8452ab97, 0x45595421, 0x5b7a1630, 0xdb8729d2, 0x02b0a104, 0x329c33b0,
+    0x6968bc32, 0xfc2485da, 0xb1ab1e49, 0xb0dcf2bb, 0x39db1a09, 0xe87ec231, 0x587257b1, 0x0bdc24c7,
+    0xa56401be, 0xa796125b, 0xb7645703, 0x75229f90, 0x836fe215, 0x04595a92, 0xb961adac, 0x6b9e2f89,
+    0xce6c2910, 0x619b428c, 0x39dfa446, 0xca73fdcc, 0x9e2b3dcc, 0x666229e8, 0x84e28a2b, 0xb319e95a,
+    0x7c626ff6, 0x57266ddc, 0x2020a7a5, 0x9f437d11, 0xa3d6c8f5, 0x2d8aebd7, 0xcdbd14ab, 0x25b6d36e,
+    0x381e9959, 0xdc4c9d98, 0xc2449b9d, 0x2713e521, 0xa2ff473f, 0x9548c482, 0xadbb650b, 0xa35a3da3,
+    0xbd89a7b3, 0x856d047e, 0x892ce694, 0x702681a8, 0x8c0ea808, 0x26935920, 0xa4d53b6c, 0x4d780bdb,
+    0x0c5edd5a, 0x8ea21067, 0x4b50d2f3, 0x4b6b1299, 0x06ca6b9b, 0xc98150a1, 0x6b6776bb, 0x84a386f4,
+    0x46bbb053, 0x0e539fe3, 0x2ffacc84, 0x01aaa577, 0x3a58137b, 0x00d4290b, 0xaecfcd74, 0x5284b434,
+    0x730585f3, 0x9c4a6823, 0x21b885ff, 0xfdd094db, 0x94857dc3, 0x2c98cf2e, 0x454905aa, 0x9577f75d,
+    0xcef8e4b9, 0x4031703f, 0xf5cdb1e1, 0xfbf874cc, 0x35f6359c, 0xc4a05956, 0xb853f985, 0x2d42471b,
+    0xef8c66f7, 0xf630fbe1, 0xf025b790, 0xe164e09e, 0x7f4d04e3, 0x9424a1d7, 0xc2536ae7, 0x62ebf220,
+    0x16f1f52e, 0x1f303e3b, 0xa7f53a26, 0x0af119e0, 0x5c60375c, 0xdce499aa, 0x2bff9b34, 0x4908841c,
+    0x77ce461e, 0x92ad9443, 0xefe136f3, 0xa97687ee, 0xcc5fb146, 0x579e8c05, 0x0ac8d70b, 0x2b5a1da4,
+    0x13ac600f, 0x3c981a75, 0x66a05e0d, 0x91118446, 0x85d151dc, 0x92402d8a, 0x9f4c8438, 0x6f45c587,
+    0xb4d55d52, 0xf3740a7c, 0x4d33b325, 0x566808ca, 0x227818f4, 0xa7315140, 0xdfc78acd, 0xbfbbb25c,
+    0x0f6111b9, 0x4a4178e3, 0xc705dd1f, 0x4a7bebd6, 0x3b21d113, 0x5810ec52, 0xbf2aff89, 0x26bae605,
+    0xf4a2d1b1, 0xa1988fea, 0xd531b7bc, 0x3d1ca840, 0x0619fbf0, 0x489ec95e, 0x15b3a347, 0x1a6df4b5,
+    0x1c900916, 0x6b0775d3, 0x29e213ee, 0x74f87eef, 0xe29036ee, 0xfedfd2ff, 0x01ea111d, 0xb3d4e99a,
+    0x0ea72a3b, 0x033ad864, 0xfc70480b, 0x34dc15de, 0x1fa8182b, 0xe6505394, 0xa8572862, 0x68235a83,
+    0xfd470ad9, 0xafc52772, 0xbf1c66e5, 0x79bb7bf8, 0x8332b4d9, 0xa5a23b07, 0x5c8b4b34, 0xb79851fe,
+    0x54ef2625, 0x7c08a423, 0xe75775af, 0xd1ae4df5, 0x59076a78, 0x791a2365, 0x0ab5dce0, 0xa053c480,
+    0xa0e11226, 0xc858dc92, 0x74a68555, 0x66dd1589, 0x37838112, 0x11c81e01, 0xfd189039, 0x092e1649,
+    0x131e74a5, 0xc8f565e1, 0x0fcfd6c5, 0x89a46a2e, 0x63bf2a6b, 0xde3c4860, 0x84695b53, 0xc38d0533,
+    0x7788fb3b, 0x6870fba8, 0x38d7cda8, 0x17ab7ee1, 0x53cb314f, 0x055a0764, 0x31e04903, 0x1e2ef9ff,
+    0x8abf11c4, 0x7ad9a8f6, 0x01112f64, 0x839cc8dd, 0x9f5538b1, 0x0212f412, 0x65dd6608, 0x5f629bcb,
+    0x86e2feef, 0xd3614cec, 0x33073817, 0x903973a0, 0xa019b5ba, 0xb474e23d, 0x088ffc2e, 0xad7037f1,
+    0xffc6be85, 0x80a6bf93, 0x14388f5e, 0xc515db9d, 0x245a8006, 0xbd3b7d98, 0x3fdfce9c, 0x89283a71,
+    0x3fe5bd71, 0xb8aac9bd, 0x5c5e19ae, 0x03b81345, 0x27fbced9, 0xa1c86cd9, 0xb8a9c8c5, 0x18420955,
+    0x4257a854, 0x00e21728, 0x540a9f21, 0xb056f617, 0x68a7615c, 0x2730b9a0, 0x4050d81a, 0x12ad92c4,
+    0x20a64ffc, 0xd732194b, 0x0b4086fb, 0x5a6602c6, 0x3324f775, 0xe05d5d3c, 0xfb636321, 0x11fac682,
+    0xe793bdcd, 0xa44d7912, 0xb0f4d3ee, 0xa4c0d4e7, 0x31686934, 0x1f6c2be8, 0xdbd1b420, 0x1a512aa6,
+    0x3351c5b6, 0x4c264ff2, 0x5edd5578, 0x63d6f681, 0x64a33e42, 0x1726dd3e, 0x78db0ff4, 0xcd99923d,
+    0x2844f5a2, 0x8d6b5a97, 0x6519214d, 0x049bf834, 0xf98501f2, 0x07af104a, 0x7751f334, 0xcd2bfa12,
+    0x7f127e84, 0x477d6c15, 0xc484cc10, 0x07755671, 0xd0612c5a, 0x058654bb, 0x3bae7147, 0x9fcaf3d6,
+    0xd05ab3e1, 0x64f07b13, 0xa8a57cc0, 0xc180269a, 0x854b950b, 0x202e4ffe, 0x640d0026, 0xa77b9448,
+    0x2828ea2d, 0x822d7c0e, 0x326ea643, 0x27061811, 0x73673347, 0x681ac9d9, 0xfa4977cf, 0x30feb3df,
+    0xd4de2092, 0x79deb942, 0xe697a6f0, 0x80bd521a, 0x1a8047fd, 0x89c82ca6, 0x0ab205a6, 0x7da12bea,
+    0x381d1616, 0x1a2e8838, 0x44d23caa, 0x8866584b, 0x67d2ecdb, 0x0148d6c4, 0x9705d3b7, 0x5e11ed87,
+    0xe22ef234, 0x0b41bfd8, 0x939308bc, 0x998ba610, 0x82039b06, 0x089f3c0f, 0xc8e95099, 0xcbd8f1e1,
+    0x1a7c6974, 0x9307d697, 0x1073f178, 0x3eb25bb4, 0xa290b5a7, 0xae44fdcd, 0x15da5316, 0x075f93d8,
+    0x9cc191ce, 0xf8fa4194, 0xa68cc9d6, 0xd0e31bff, 0xf7fda914, 0x22e0e2ed, 0xe75199b8, 0x11391ba8,
+    0x9c26dc7a, 0xd8323f3d, 0x031a3658, 0x9fe431ef, 0xbe4ece11, 0x6d557d7d, 0x29042823, 0x446d077b,
+    0x77b66b57, 0x5e389bfe, 0xfe0f5e77, 0xf9d457f4, 0xd64db77e, 0xeb53d9e3, 0x5a787c86, 0x196298a8,
+    0x902fbff5, 0xf1a8fbf5, 0xd80ce556, 0x4f53f689, 0x7552c0ae, 0x78ebdccc, 0x2407fc40, 0x93c8661a,
+    0xdaeb3dfa, 0x1de3e271, 0x24b4b4d0, 0x093880c8, 0x4a6cbfed, 0xac71c4ca, 0x63ca090f, 0xe1fce0c2,
+    0x4135c5da, 0xda074065, 0xc1e2d0a9, 0x50d63c19, 0x81943d5c, 0xfca8e694, 0x5fb39144, 0x2c78fd58,
+    0xf788cae4, 0xbafe65f4, 0xbfbd8c9a, 0xe36f9ee1, 0xc6a84998, 0x7ad75a3d, 0x3c1575b0, 0xe0993388,
+    0x7ef592fb, 0x7e117061, 0x230ecf43, 0xd633f1a8, 0x3293625b, 0xc6410971, 0xd0a4b5ba, 0x72c7f905,
+    0x1d156988, 0x1b5bdad5, 0x2d7428ca, 0xf4abfbac, 0x81774b2d, 0x362430f0, 0xd866e964, 0xbebf04cc,
+    0x4fe079cf, 0x06e2d4f6, 0x85c44bb3, 0x7b744c3c, 0xdd002832, 0xaf30ed51, 0x602fe0a7, 0xdcfdc921,
+    0xc584c84a, 0x341cdc5e, 0x9f583c24, 0x0b1d606f, 0xf0bb3c2b, 0xdf540339, 0xf40c7857, 0xf0227a75,
+    0xbb4328e0, 0x734dd16c, 0xd3d388e5, 0x74c4b204, 0x15836274, 0x5e5b461a, 0x0d14018b, 0x99e36105,
+    0xac7d3ac5, 0x50af7b33, 0x80cd6a5d, 0xe3cf906e, 0x0d6af4ad, 0xbfa0a7c1, 0xcaebc932, 0xf941e297,
+    0xd89bce5e, 0xa5de2ec6, 0x41f262c0, 0x8357ea51, 0x7870d6f6, 0x91e0ce50, 0x8bcad780, 0xfd42635e,
+    0xd71c5ffd, 0xec4efb77, 0xc5326b2f, 0xa40d23f4, 0xb1aaac71, 0x3d92c966, 0x50f5a9a8, 0xa442c8a2,
+    0xc874d86f, 0x997c1048, 0xfc2fe286, 0xafa9f9bf, 0x443672d3, 0x5c5000aa, 0xfee6dddc, 0x6cc38461,
+    0xfb7aa8e5, 0xf13e139f, 0x51ae7c29, 0x608a093a, 0xe9706c77, 0x4ee8427e, 0x11da271b, 0xcebb522c,
+    0x48f73b4d, 0xf6829e78, 0xdb6b9df7, 0x9cc85d75, 0x7f9dc7be, 0xdd76a522, 0x18ed9fb8, 0x19c0ada4,
+    0xe2cb8aeb, 0x23e241ce, 0x321947db, 0xbba15479, 0xd7a7b323, 0x9a23d0d2, 0x85ab195f, 0x76a4dc3c,
+    0xa6abeb6e, 0x98199fe8, 0x1e48e06e, 0xdf81d908, 0xb88a0ac7, 0x20d225a7, 0x5f4da5cb, 0xe89014bb,
+    0xdebaf8c5, 0xff8606ec, 0x96538845, 0x02ae4dbe, 0x702ddb01, 0x1f354ed2, 0xd8fe5052, 0xdf1f496a,
+    0xb1c34d6f, 0x3daa33c4, 0x292d5641, 0x8f91634b, 0xab7f0bf8, 0x4a73ab04, 0x3439de3a, 0x30e2a06a,
+    0x1a7e7199, 0xfbb34c6f, 0x44dbf9a6, 0x8138a532, 0xa747cfaf, 0xe890ed90, 0x6484cae4, 0x0493567d,
+    0xcdf013cc, 0x9e32315b, 0xbd3404ba, 0x3aaa00d2, 0xf117db90, 0x31d2c21b, 0x30991e32, 0x7e98438d,
+    0xac4098fa, 0xfd525e30, 0x34be8713, 0xf72d3222, 0x45ba80ac, 0x3b2a6beb, 0x4d47f2fc, 0x3e67bf25,
+    0xd692b077, 0xb0068931, 0xcb12ea54, 0xda01bdad, 0xb6739a3c, 0xd54507b2, 0x12c4eb78, 0x74df8402,
+    0xd825ec35, 0x6bbad811, 0x1b1e0917, 0x5883b74b, 0xabe20a95, 0xc9c3d2fd, 0xd8fe09e1, 0x7208ac27,
+    0x618aed82, 0x48f954f1, 0x50f80c0f, 0xf05b6edd, 0xb0558f3d, 0xd13ee242, 0x130bc188, 0xcebe208e,
+    0x4ed4a927, 0xc3322ded, 0x08700b84, 0x9086057d, 0x93880209, 0x6377fdf3, 0x9adac51a, 0x1864aafd,
+    0x00f1044a, 0x33511204, 0x436000d1, 0x850b4984, 0x96532ba4, 0x7fa28ed8, 0xc4e0fa50, 0xc08cb659,
+    0x9a48f488, 0xa310a81d, 0x34536380, 0x18c9832c, 0x4763c4b8, 0x0b4c1b93, 0x9e2adf0e, 0xcf99f6ab,
+    0x384be115, 0x2bdfaabc, 0xb8a4d2af, 0x7fc19fd1, 0x9281da5d, 0x863538a1, 0xc5c4753c, 0x8e265b15,
+    0xa35c4702, 0xc70ae43e, 0x8b550802, 0x11035ed9, 0x00c03cac, 0xcf15fd28, 0x8ca8f384, 0x58f7df73,
+    0x62d4a007, 0x2488f877, 0xda9a43e1, 0xece4c75a, 0xa8f1379b, 0x898f5223, 0xed8dd033, 0x850e8a23,
+    0x34e2cd44, 0x3e032b68, 0x686f78dc, 0x492c51ab, 0x2d941218, 0x87c2cb54, 0xf94c9ed3, 0x67afcbee,
+    0xa8540882, 0x41482740, 0xd25927d1, 0xd185e2f2, 0x3dad66c1, 0xc5ccb013, 0x60ae853b, 0x2f0aead1,
+    0x2d7c5fca, 0x24562d0d, 0xe2f4e2ea, 0xc9421b3b, 0xe68703fb, 0x390120e2, 0x643b55a4, 0x941a4444,
+    0x00000000,
+    0x30f4c5f2, 0x92a6fefa, 0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865,
+    0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000148\
+                          21387422376473014217086081112052205218558037201992197050570753012880593911808 */
+  { 0x00000000,
+    0x9fb2dad5, 0xc8780944, 0x335b5200, 0xce918ee6, 0x23dea555, 0x55a6e06b, 0x1823c4e9, 0xdb4c1950,
+    0x64bfa3b3, 0x8022a907, 0x8bf8b97a, 0x89ce69e2, 0xbc1d4b99, 0x669f2888, 0x4daf5029, 0x691a0a7c,
+    0x2ac90b11, 0x4ceb34f7, 0x160ad89d, 0xc9889eb0, 0x88e51df4, 0xc68727f9, 0x8c2eefb0, 0xd38dde23,
+    0xd442e607, 0x41ae8895, 0xd433a838, 0xa7d98140, 0x838df151, 0x2b65cab6, 0x715be386, 0x6526bf19,
+    0x2dd0c0a4, 0xb8b63a50, 0x96b52177, 0xe1f0c471, 0x5d7925c1, 0x90c09cbe, 0x60b6a5f4, 0xe7c075fd,
+    0x7f920d1d, 0x80bc2ed2, 0x8f04493e, 0xdffddc8d, 0x3c59776d, 0xa977dd83, 0xee0948bf, 0x657e110e,
+    0x02e749c3, 0x3816dbc6, 0xb064a104, 0xea3372cb, 0x05986c91, 0xaacfc1b9, 0xcd086000, 0x59b0e9fc,
+    0xf7d0d86c, 0x06c44cf3, 0x2f1892fd, 0x50a8c010, 0x59e606a8, 0x9287ef81, 0xb1a89ab9, 0xdd4048c0,
+    0x23253167, 0x76ffe568, 0xd61f1dd3, 0x4432042d, 0x1761f331, 0x6670a0b2, 0x51b71d60, 0xa221fa9e,
+    0xcc3fe83e, 0xc77ed8ab, 0xc2543e90, 0xf7091d02, 0x6750df35, 0xda3b577d, 0xe3387d71, 0xe90d110a,
+    0x4d0861ba, 0x6c8a7dda, 0x78ff325b, 0x38967716, 0x63f372fe, 0xa8940687, 0xae09516d, 0xb2e97d03,
+    0x7938ae99, 0x0123e38f, 0x70a52f0f, 0x22d6dda8, 0x6e59e92d, 0xcb7befdb, 0xf9e2975e, 0xd0f9abc8,
+    0xbc5d5d19, 0xa265fc10, 0xf7500950, 0x12383769, 0xedc15f14, 0xc366940f, 0x3fedae85, 0xf9536564,
+    0x597d7051, 0xfe0c1e55, 0x046bef6e, 0xa5f833dc, 0x42ba62dd, 0xa249e41b, 0x2cac1713, 0x78e36f0d,
+    0xdb05ca86, 0xb1cdff48, 0x5fabecdb, 0xccd1ce40, 0xbfc2457b, 0x97b3aaee, 0x7939c684, 0xf8144080,
+    0xaf380ff3, 0x872c4dc1, 0x7b8eedbd, 0x7b774ff9, 0x3f4f5de8, 0x98a99500, 0xe3133efa, 0x3f26a7f7,
+    0x29d4f60c, 0xe6f71608, 0x15bef237, 0x2c957bd3, 0x20756337, 0x41c7b6f4, 0xfcf78228, 0x8e601a79,
+    0xf51acbe2, 0x09823d78, 0x4290d445, 0x3d044035, 0xee63ae1e, 0x3c9c5238, 0x6a38b60d, 0x31c1b1e5,
+    0x0faced0d, 0xa52cf08c, 0x57d93719, 0xca53c17d, 0xdf292bc2, 0x39ddc9a3, 0x32485a63, 0xb58c4cd2,
+    0x0323d294, 0x0a2d8370, 0x0f18b6c1, 0x9f5e96c9, 0xb58efd45, 0x22acee29, 0x3bf5aa35, 0x7dc7a7d0,
+    0x0c18c4de, 0x86db56b5, 0xbf512605, 0xdaa79d0a, 0xd39eea08, 0xa017f499, 0x658e05d4, 0x98f7fe39,
+    0x004f274c, 0xfea995de, 0x92f2003e, 0x9e370023, 0x2375475e, 0xf90b7f85, 0x171a0e53, 0xe077581d,
+    0x6518dc8c, 0xaa45dcca, 0x48d968c0, 0xd0551e94, 0x79520c1a, 0x27287ca2, 0x52fca7a0, 0xe10baa1a,
+    0x06c8445e, 0xac9e7abe, 0x42521781, 0xacb96f66, 0xe1274009, 0xc0217299, 0x9fed9269, 0x04a4a6ef,
+    0x642c2826, 0xf498958c, 0x76f8dac1, 0x06873d63, 0xfdca6ad3, 0x98ca3efa, 0xc2861b2a, 0xa59998fb,
+    0x7afc405f, 0x2366e7ca, 0xae178fd1, 0x51a157fe, 0xae97abd9, 0x66d6cf4c, 0x6e1e6ec0, 0xd5c684a7,
+    0x903c56fd, 0xb15cc43d, 0xebfbaf25, 0xd23a0ee2, 0x8a32f976, 0x29f86ed0, 0x2a1418a6, 0x3111ea2d,
+    0xc9ddc9ef, 0x6076b6fc, 0x7d51d2ed, 0xc3943ca2, 0x01426552, 0x68428897, 0x37bdff3e, 0xe020299d,
+    0x2b57bec3, 0xb4539b27, 0x0ab6a904, 0x037e14c8, 0x910b55b5, 0x0942bfa8, 0x39ed060c, 0xb4df2ba1,
+    0xd670804b, 0x0ed0d82d, 0x144841f2, 0x1c33bf01, 0x0dbd60a5, 0x6f18c8ff, 0x060d9718, 0x84b958e2,
+    0x28562df1, 0x5efcebf3, 0x1c667e54, 0x16bc4366, 0xc2a1c9ae, 0x153149d7, 0xb1677c53, 0xce4f5a23,
+    0x62e6e061, 0x7a6541a4, 0x453ee893, 0xdfab09b3, 0x2005bfc4, 0x4c5a9f38, 0xc936935e, 0xb7f8ebde,
+    0xfce4e2a9, 0xb7a2db84, 0xd692cb21, 0x2e376cf4, 0x85d1fa22, 0x5db00fca, 0x44d93f6a, 0x747e6549,
+    0xf1ed3d2f, 0xb6d59609, 0x10b1b82f, 0xb6b318d8, 0x373fcb2a, 0x436babbb, 0x9d34b9c4, 0xa1159b4c,
+    0xe0cd09c2, 0xe35e9322, 0xc04ef008, 0xbf6a03af, 0x11b013d9, 0x60b6b8da, 0x1620d825, 0x67f924c2,
+    0x09e44bdf, 0xc6b383de, 0x93969a87, 0xca3daa0d, 0xad01394f, 0x7bff94b2, 0x5c92912c, 0x2832a6cf,
+    0x69206260, 0x53ed8cc9, 0x76f376ea, 0x0f10b588, 0x5be69392, 0x01637eb1, 0xccf4c109, 0x9660fb9c,
+    0xbd24a07a, 0x6cdc5233, 0xf605fcb2, 0x799c8aa9, 0xb26f2f3f, 0x4872a3c0, 0x4b86c5ad, 0x5fce01fe,
+    0xf8e3f583, 0xfe20fbc6, 0x0f0f38ac, 0x9adb6413, 0xc73f2ab9, 0xbd472c35, 0xa7e74701, 0xd4adca6f,
+    0x534a6209, 0x1d62f61c, 0x35ce6327, 0xea71e74b, 0xee5342bb, 0x6738375f, 0xa4a07f7a, 0x667e6221,
+    0x90681fb2, 0x91ceae48, 0x62bafd67, 0x292a2ff0, 0x4b139520, 0xfae4f67c, 0xaec9ab5b, 0x41dd7ddb,
+    0xd855252c, 0x521d13d1, 0xa45d9f99, 0xfa5b33b7, 0xd43046f5, 0x618dec2d, 0x6f4b5ef2, 0xeff38382,
+    0x384beccb, 0x8a9d9f57, 0xcc00828b, 0x8cc5ff1d, 0x9cf59f1d, 0xabf11867, 0x399fe42d, 0xe1c775eb,
+    0x0319e3d4, 0x8b467136, 0x63221ef9, 0x7b2f3143, 0x500024ac, 0xed61a7f5, 0x59f4b969, 0x682edde1,
+    0x0dfcb9dc, 0x0358a83a, 0xf7d58895, 0x35efadb4, 0x348e346b, 0x39bbed5a, 0xe08865c0, 0xe8145abf,
+    0xb9249f79, 0xc10267f8, 0x13c040a2, 0xa8d1a0e8, 0x4e119226, 0x4cc1f749, 0x131f6f7c, 0x706feb3c,
+    0xf13559cf, 0x0158a00f, 0xbaad0401, 0x4b3afbf8, 0x23160e47, 0xe39fa7b2, 0x57d873b9, 0xf5fc02e0,
+    0xe70615fa, 0x6536a83c, 0xfc386036, 0x188d3b24, 0x55e9c3aa, 0xa69869d4, 0xe9e16526, 0xc9f29bbe,
+    0x29307da9, 0x32b5f179, 0x0340c52c, 0xe60c85ab, 0x03b89234, 0x5952587a, 0x46c80693, 0x4476103d,
+    0x7ad9fe20, 0x75cbc5b1, 0x555002f1, 0x87d6ebf2, 0xfe729b06, 0x20b77325, 0x7937e895, 0x13d4310b,
+    0xbf3d80ac, 0x32e08700, 0x06823a62, 0x9b0e84bd, 0x9f3f2e8b, 0xf2c6e8ca, 0x5a740a3e, 0x91b62ba4,
+    0x4a35b21f, 0xb95c46e3, 0xe7a99630, 0xe7794b0d, 0x2c908f67, 0x9346ba3e, 0x3aac6d38, 0xc23e0a8b,
+    0xfe64b533, 0x51e77252, 0x2a995f0d, 0x94107950, 0xde571dc2, 0x164e7d04, 0xbe71a9b5, 0xbd46d8be,
+    0x4e5558f9, 0xc19bc49e, 0xa49e1d15, 0x824a6141, 0xe56ee5c9, 0x2525e770, 0x3b01a026, 0x08afdfac,
+    0x8d3eac92, 0xad8b25df, 0x4a55b4d8, 0x76473380, 0xa09ca16b, 0x1a328416, 0x4130c312, 0x8ab64314,
+    0x9324c5de, 0xb35b049e, 0xceaa3588, 0xef2d8f1c, 0xd031f3dd, 0x9bf5e929, 0x8a0d805e, 0xc06a96c5,
+    0xbd79c973, 0x61048a7e, 0x76e5cc76, 0x16ef7f9b, 0x747b2eaa, 0xbd8f132d, 0xdf719b82, 0xe614e392,
+    0x1adf61cc, 0x3a2d9c98, 0x538050f9, 0xa825bf51, 0x0eb4ec07, 0x453bd283, 0xf1479927, 0x9353946c,
+    0x3ccd3e15, 0xb19ed308, 0xcdef534b, 0x0ea45dd3, 0x963a3872, 0x55e35ced, 0x015ff433, 0x02df830c,
+    0x96f40a88, 0x908ebf6b, 0x09bd4791, 0x07dfcad4, 0x5820cb36, 0x3044981e, 0x1dce970f, 0xd1d8e9ed,
+    0xc0fa052a, 0x127abf72, 0x065410c4, 0x93d2152b, 0x93006e9f, 0x3c336036, 0x0ab2fc2c, 0xa3dc1eaf,
+    0x56609e02, 0xbba05479, 0xd89ccf27, 0xb283d005, 0xce101274, 0x403a20d2, 0x020d282c, 0xbe469cc0,
+    0x7f47683f, 0x5c27b43f, 0x58dce696, 0xa89fb0d4, 0x1ff3156c, 0x4230c168, 0xf5ab7ac6, 0xecaa15d5,
+    0xe7fcfad4, 0x5ea3512d, 0x8a0816f1, 0xb83090ed, 0xdb535f36, 0x21754de4, 0x63382bb4, 0x806f73c5,
+    0x7d96eac8, 0xe3f3b730, 0x94d86d18, 0x893ddf80, 0xd3accf35, 0xb3c8b6c5, 0xafd4533c, 0x3f86db00,
+    0x6e6a9e85, 0xe1a9b8e3, 0xe20015f1, 0x9135e1a7, 0xd918e9f5, 0x66b0bf4c, 0x13aeebe4, 0xf27afbce,
+    0xa9df0ebc, 0x86fbab5d, 0x31ec847f, 0x105d002d, 0xfb259584, 0xd7d9f0ce, 0xfff90e6c, 0xeadcdacc,
+    0x0ef1a42b, 0xd445bf50, 0xe12e8131, 0xc92e9555, 0x15a42f77, 0x8b9a02d8, 0x22fe211c, 0x0c65ff25,
+    0x963431fd, 0x0cbc4459, 0x5dbea7d5, 0xa938a134, 0xb9f14a43, 0x5a4a4c8b, 0x46922c1a, 0xdca32704,
+    0x959505c3, 0x54c0c38d, 0x27d073e6, 0x6f5012da, 0x08d3c08b, 0x3990eb26, 0xfb86a9ab, 0x24418687,
+    0x97f0ad5e, 0xd2e90f25, 0xeb2662e0, 0x7e42dfb5, 0x7d0b6b78, 0xb8cb4f99, 0x049e5cd3, 0xd5494481,
+    0xe680bcf6, 0xc3a932be, 0x57e8d50e, 0x4b53a532, 0x77f64bef, 0x0b027ef4, 0x06b9fe23, 0x88bbea97,
+    0x8f88f0b5, 0x8990c903, 0xefc6446d, 0x5d98bbfb, 0x76b6a6bf, 0x2f4338d0, 0x63e24ef0, 0x55720167,
+    0xd22fd2d2, 0x354cfb3d, 0x9f06430a, 0x67e6c69b, 0x3034d266, 0x0ab141bd, 0x3a1f8d00, 0x85d7a189,
+    0xea0a05c3, 0xf1afc115, 0x4d07c723, 0x453fb950, 0x307e698f, 0x5c039c74, 0xfa5c5e30, 0xae2caf97,
+    0xd8c2363a, 0x8c0f0bac, 0xd19a6bc3, 0x88c57e57, 0x3a8d4815, 0x55b18f9b, 0x1958e847, 0xf606360c,
+    0x141ecd46, 0x5fb2841e, 0xfcdb1d21, 0xb7b70d92, 0x360926a1, 0xfc68c92c, 0xebc81458, 0x1dc31db6,
+    0xebb8be13, 0x09c6d650, 0xd5dd4b90, 0xb8158d24, 0x2adaa054, 0xe4119446, 0xc95f3b57, 0xe5fa2321,
+    0x072571d3, 0x1ac9f4fb, 0x1e4b0d02, 0xe5d62f53, 0x2356b836, 0x6932dd30, 0xbbc2a885, 0x0d7d00a8,
+    0x8ccaab38, 0xdcc8fe9e, 0x1cfaa92e, 0x4410336d, 0x24a8a6f7, 0xb20c9310, 0xfdddc7bc, 0xab448be8,
+    0xcecbf966, 0x48643992, 0xf8b16e40, 0x82f5f029, 0x9783a031, 0xcde1e891, 0xa24ef30c, 0x3781f98b,
+    0xc955d025, 0xde660605, 0x1b841904, 0x62dffa52, 0x60f258a2, 0x90add3a5, 0x94d1d992, 0x227b97f0,
+    0x7e56769f, 0x9d7d48c4, 0x2827f533, 0x2b999ca4, 0x2a44122f, 0x247a41d1, 0x6eb59917, 0x8bb438c3,
+    0xa54d6991, 0xa9e19192, 0xdde67221, 0xa998dcfa, 0xf538d8eb, 0x9bcc5300, 0x2c0eaf8b, 0x5b1b0ec9,
+    0x55c4a28d, 0x900b096e, 0x3d69d5d0, 0xf48012db, 0x50709d6c, 0x1f3fdbcc, 0x6a885c76, 0x2a7bb887,
+    0x72180ddb, 0x53abff78, 0xd65ec558, 0xa913480a, 0x0431adaa, 0x3cc04992, 0xe3d91273, 0x537c181d,
+    0x795b4c66, 0xc6b82e5d, 0x98f0f32b, 0xdffdc5cf, 0xaabe9337, 0xc9ec25e1, 0xe761d8c5, 0x85783fd6,
+    0x1ab77595, 0x0755b2d3, 0xa29b3028, 0xe6395806, 0x91eda08a, 0xc4b17c32, 0xc0dec307, 0x468485e0,
+    0x57f4e9ff, 0x969bca7b, 0x9a8bfcce, 0xf90e60cd, 0xfa0290f6, 0xf92ec970, 0xa8ba494a, 0x0926d7aa,
+    0xa820bb44, 0xb79b18c6, 0x6ca26a72, 0x7d502ea2, 0xa769ff61, 0x8c523fb9, 0x28b69a33, 0x8549b080,
+    0x5a873cfc, 0x7a007b92, 0x2e39c273, 0x4347fb82, 0x27dafd68, 0x5f50e62a, 0xe8090372, 0x468c0edc,
+    0x467ee98c, 0x645af1c9, 0x09ed9d55, 0x1293ec14, 0xa4ec6d9f, 0x575cf230, 0x4c5df683, 0x7e2dc610,
+    0xd7aaeac2, 0x426ee539, 0x02f365bc, 0x893daa39, 0x1df2c862, 0x1dcce77c, 0x6bdc3759, 0x176fccd0,
+    0x7a95674b, 0x34a09af2, 0xc5c2f06e, 0xa1face71, 0x6b3648c8, 0x8e7f7d12, 0xd45eebbb, 0x5ce476f9,
+    0x466aa40a, 0xa6ab9637, 0x00a972be, 0xc9da5225, 0x8b3925cd, 0x5f787a04, 0x96b57ad9, 0x3cac4728,
+    0xb090dcac, 0xf5ce1309, 0xb157b11b, 0x5d505c64, 0x41c151d9, 0x1febf057, 0x4a2b464b, 0x48c2e9a5,
+    0x0984ae31, 0xfd1c1758, 0x5f9822b8, 0x87ff71d8, 0x57a0346c, 0xd6f54756, 0xab07daac, 0x3d096a41,
+    0x5b9331f9, 0x651ae756, 0xd9428cf0, 0x74cccf84, 0x16e82003, 0xe40ea892, 0x5832ed91, 0x7c524419,
+    0xcadf06bf, 0xa6843724, 0xc52345fa, 0x3c200732, 0x0760e6fe, 0xf7d1f458, 0x826df136, 0x12de3152,
+    0x6eff9026, 0xb6cbd079, 0x0eb59f85, 0xad1764ff, 0x02b2ae54, 0x3087ebca, 0x254abf73, 0x418296dd,
+    0x6a3c452c, 0xe3f2e89c, 0x0c3be5c0, 0x4c33ba62, 0xe1223139, 0xf5f4e34d, 0xc1df6012, 0x78a14b2e,
+    0xc5e801c9, 0x6591e04b, 0x0859979f, 0x7dcfc74e, 0xc94baee1, 0xe89584bc, 0x423145c9, 0x3697b315,
+    0x3052ecee, 0xb4dd7463, 0x856f590c, 0x567e0d77, 0x36b2fb1a, 0xdc41e7a0, 0x22c345e1, 0xa849ff77,
+    0x7464d79e, 0x304e777f, 0x5d21a811, 0xf9bef9f6, 0xbc7f1685, 0x20973e52, 0x677753f6, 0xfb7db7a9,
+    0x40ed4810, 0x2be8e04b, 0x42d110b3, 0xce43eaf1, 0x60659b1b, 0xa03e2bb3, 0xb046d5fe, 0x36695acd,
+    0x60d76aad, 0x828bd163, 0x5c1b3933, 0x75d6cdf4, 0xe754e727, 0x6c44278c, 0x72881224, 0xb4a355c2,
+    0x62a1b318, 0xb39f7df5, 0xa23f486d, 0x73c2b821, 0x486d0815, 0x09d935df, 0x1caf6ea9, 0x9cc5472c,
+    0x8f1c3252, 0xe2f17134, 0x92106439, 0x82171100, 0xd51248c8, 0x6c27e33f, 0x79bdde95, 0xc229b343,
+    0xdbb91ce2, 0x135d84cb, 0x258794e4, 0x8232e7f7, 0x592262a9, 0xf002a180, 0xa2556c04, 0x385f6f91,
+    0xe01c1bb0, 0x7140b0dd, 0x81083ea7, 0x603790d0, 0x4859f868, 0xc4f67cae, 0xf1ce89a6, 0x986d85a0,
+    0x3fc41a1a, 0x17cde216, 0xbe3879f0, 0x763eaf4d, 0xe31e48e7, 0xdf789165, 0x2b48f40d, 0x965ea8d9,
+    0xdba0843f, 0xbfb1247e, 0xeb32df7a, 0xad6a9f36, 0x2b5a58be, 0x961cf06e, 0xa79a3c1f, 0xa0246969,
+    0x9291c33e, 0xe439dde2, 0xe11eb55f, 0xfe19b177, 0x99092509, 0x8a34c164, 0xd4dc2d5a, 0xdeb16a36,
+    0xc8492c4e, 0x9c6fec1a, 0x596bb23a, 0x157433c6, 0x5fc8a4e5, 0x4c469a50, 0x6d7a1fba, 0x6b6ec274,
+    0x11912ca3, 0xdfec5771, 0xe243d47c, 0xff7f8f41, 0x475b7269, 0x12420e53, 0x35b7e3a5, 0x90f48230,
+    0x3641a213, 0x86a69398, 0x0b4b3e19, 0x9797aafb, 0xc0d2e636, 0x29130418, 0x1a9bc254, 0x17fd21e7,
+    0x80c34b01, 0xe5114931, 0x4b5caa03, 0x83a4f1db, 0xe094603b, 0x213c2229, 0x6a354aa8, 0xf5d8a993,
+    0x455a2e7c, 0x46f11a04, 0x70dfff93, 0xf88de780, 0xc88702f1, 0x3110986c, 0x16104985, 0x56db1f65,
+    0xfc276122, 0x89506a37, 0x02f505bf, 0xe78e872c, 0x7671470b, 0xa3766dde, 0x3c61b6a4, 0xd4995e32,
+    0xc54be831, 0xedc388f8, 0xf7320ffd, 0x039f0618, 0x0609b76a, 0xdd7f026f, 0x1664c6b7, 0x4fdf24e6,
+    0x668b927a, 0xa550972e, 0x46ad49c5, 0xaaf13f97, 0x0b859735, 0x176410e2, 0x9c178224, 0x0ba8d39a,
+    0x9540869f, 0xb6741aaa, 0x13e45dd0, 0xd7074aff, 0x9e315d49, 0xd2dbe17f, 0x3a4070d5, 0x87e88bc0,
+    0x92d17cbb, 0xe374507c, 0x74b548aa, 0x9a525ed6, 0xdaebaea3, 0xf38fef42, 0xf6544838, 0x99fe2252,
+    0xfa79aceb, 0xf0f6269e, 0x93d00374, 0x0ada8fc7, 0x4e2dafb7, 0xa1d9429c, 0x36caca12, 0x684941eb,
+    0xc0e5046a, 0x71782132, 0x275be4fe, 0x052d74c6, 0xb42c073d, 0xc9669bf1, 0x13d22e14, 0xa01bbd14,
+    0xe35a2196, 0x15460c17, 0x1ecef3f9, 0x74289cd5, 0x950dffce, 0xe9413bab, 0xcf39ae52, 0xc2b742b0,
+    0x00000000,
+    0x187a62f8, 0x49537f7d, 0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432,
+    0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000074\
+                          10693711188236507108543040556026102609279018600996098525285376506440296955904 */
+  { 0x00000000,
+    0xec2acfbe, 0xc9e656a6, 0x5dbcffd4, 0x73f7596e, 0x5fda1e41, 0x806f4944, 0x43226dd8, 0x863326ef,
+    0x67bde090, 0x6fceaf73, 0xa575b749, 0x4be61313, 0xefa7639e, 0x5a0385c3, 0x4ae95422, 0xc2c3a72a,
+    0x908d5fa4, 0x912d72c5, 0x1f6e28eb, 0xa20d170c, 0x1da2bace, 0xb8f797c4, 0x1b2a3b60, 0xc42850f3,
+    0x42c6b5c7, 0xb2145c91, 0xa7821e2d, 0xb571941f, 0x4a16b4ad, 0x43aed69d, 0xdbbec382, 0x9096e2ca,
+    0x71c42e2d, 0x4ced1a09, 0x55ba7860, 0x1781c0b7, 0x31b2d41b, 0xd09915c0, 0xa486ec34, 0xa9ad2ec0,
+    0xae6891cf, 0x9c920533, 0x343ee04b, 0xef9eab5d, 0x8b62d7ba, 0x69074ba4, 0xfaab0269, 0xbd2c422d,
+    0x7d012449, 0xb468e0fb, 0x036056ae, 0x776ed70a, 0x8caec724, 0xee644766, 0x0408bef5, 0xc226d525,
+    0x33a08118, 0x23242e89, 0x7de2e567, 0x3453b2c6, 0x27e9c75f, 0xf2372bd1, 0xa85398a4, 0x521b2b5e,
+    0xe30c6a16, 0x793b0255, 0xcd2f0ad0, 0xbe7c0d15, 0x2175e4b2, 0x55ecee32, 0x2b814c74, 0x847dcd50,
+    0x30d85a51, 0xc7beb897, 0x7d5b3f27, 0x04a86f6c, 0xc75d7322, 0x81b67511, 0xbdb0da57, 0xa4ed82fc,
+    0xbbf45257, 0xaed42e43, 0x6b5ecce9, 0xd319223a, 0xb40f9090, 0x155eac96, 0xac99e967, 0xb44b7d0a,
+    0x063313a5, 0xea334abd, 0x2f06a01b, 0x82a793f6, 0x28004e35, 0x0c3aa516, 0x09f06c87, 0x08663268,
+    0x47b9455f, 0x9e6e5694, 0xd8378594, 0x4a28b550, 0xa4119423, 0x293b4647, 0x40f8aac5, 0x2b89e047,
+    0x5c7a6070, 0xd1d1dc5b, 0x426c2516, 0x6f97f3da, 0x2000a346, 0xae0a8c8c, 0x633aa814, 0x489f132d,
+    0x489da73c, 0xddde8c67, 0x82493272, 0x35fbb284, 0x0a8bc15d, 0xd7fa09ae, 0x6f3f0ffd, 0x67a4786f,
+    0xcdaec571, 0xac7a9f92, 0xf63e0647, 0xe9be251b, 0xda0c5aaf, 0x63e2dfd8, 0x6ebdeb03, 0xdcb90a67,
+    0x1d43e520, 0xae0b7deb, 0x1f4e7e73, 0x3eeb7340, 0x72ea7c59, 0xfa1879d8, 0x12277af2, 0xcf73f714,
+    0x79f1dba3, 0x44aef74d, 0xb6629420, 0x2ae74a53, 0xed1c2d37, 0x143eb628, 0x72b4f4ad, 0xe15118fa,
+    0xbf4a6d31, 0xe8882446, 0x1635f43e, 0xb2503e9a, 0x2379f6f7, 0x78e5f8a3, 0x8511d848, 0x634cbedc,
+    0x366d3c1c, 0x54749581, 0x4caab6a5, 0x819059fb, 0x14988f19, 0x19bb72a0, 0x04bde427, 0x3cd22f0d,
+    0xdba16f40, 0x794f47df, 0x7315fee6, 0x8a5751b7, 0x60e9b362, 0x2a9c4c9f, 0x55675993, 0x535fadb9,
+    0x2b250ece, 0xaa209bee, 0xa263d793, 0xd3a133ce, 0x257f2f9b, 0x45e6d202, 0x43a2ed66, 0xc1abcf66,
+    0xa8ff3110, 0xcd827b68, 0x871a6d45, 0xa2ebdd26, 0x7110c38a, 0x400775d7, 0x754742f7, 0xf620ebca,
+    0x4d413d54, 0xb7ba207f, 0xbae575b8, 0xafb153d8, 0xa5384845, 0xa638be78, 0x503ed26b, 0x3a935dd9,
+    0xc096e2d8, 0xd801f632, 0x9c7d1eff, 0xed729842, 0x25025983, 0xcd4a1dc0, 0x5feb3403, 0xe9e0b284,
+    0x917e20ff, 0xb313b4fd, 0x335b84ec, 0xb149b6f9, 0x2a875273, 0x997003a5, 0x3d58fa58, 0x0d8dc062,
+    0xb1a2e459, 0xda6fd1a3, 0xb31cc12a, 0x2af1704e, 0x4f20d9d5, 0x053a6952, 0x1582e3b9, 0xbb9001ac,
+    0xf1874cb5, 0xea515761, 0x41fbc4b4, 0x382ff299, 0xe10f6cb9, 0x5d313ce3, 0xc21806cc, 0x4d874a8e,
+    0xd280e009, 0x827746f2, 0x324682f0, 0x2a0f31a3, 0x762b364e, 0x1c2386d4, 0xbf7fe459, 0x58a0c2ff,
+    0x467e78d0, 0x014685d2, 0x885ad8bf, 0x6d5a764f, 0x62332ee5, 0x43c313a8, 0x8b39512c, 0x88106d44,
+    0x558bd468, 0x87df18d5, 0x06d5bd80, 0xf41aa4dc, 0x4a55ef91, 0x7b9e8649, 0xb1296260, 0x5ada9b2f,
+    0x592785ad, 0x0dd5ca05, 0x049b285d, 0x961d7be2, 0xff373e7c, 0x82680d33, 0x450f0e02, 0x43733e12,
+    0x000f4cdf, 0x8c06d23a, 0x05a0bb11, 0xe5a17ffc, 0x22b5acb0, 0x04de11b5, 0x25edbba4, 0x2935eb34,
+    0xb05cc73c, 0x6d169cb0, 0xa8264d99, 0x3d4f23b3, 0x8ca43c34, 0xa8e78976, 0x7f6b7ca8, 0xecd1b5a0,
+    0xe1ab7845, 0xaf729ad7, 0xeaa885a7, 0x4e9e2350, 0x54fd1745, 0xe120b303, 0xe3093d55, 0xfc8d4f5d,
+    0xcad1b46f, 0x70854121, 0x825460f9, 0xfe35e66d, 0x3eff9c73, 0xee9f847f, 0xb3782c18, 0x71266dee,
+    0xbbf03aec, 0xfb344e00, 0x9cf8d6b0, 0x33c2ad05, 0x8488b07c, 0x762e7f16, 0xd9f87370, 0x2d08ae1f,
+    0x2de911aa, 0x9ad0e403, 0x93560b8a, 0xd3ec331f, 0xab6052f4, 0xb4c3bea6, 0xf9556b70, 0xa0b55e2e,
+    0x9837dd15, 0x0bd2247d, 0x9fcf4934, 0x7a430ed1, 0x6de67167, 0x9ed7e168, 0xce722655, 0x8565a41b,
+    0x436f45bc, 0x29b5d1f2, 0x80fb28fc, 0x640e304e, 0x4d3f29b5, 0x4f7f8d65, 0x627193de, 0xf6954fbc,
+    0x83809731, 0xf21bc622, 0x58ec9f59, 0x23be3ef8, 0x70f8166e, 0xe3026e98, 0xa85554e1, 0xd69e618a,
+    0x6ed4e219, 0xfda1111e, 0x068eabd5, 0x476db6ea, 0x946d6ff2, 0x447495b2, 0xf294262e, 0x3a278e54,
+    0x0fc2b86f, 0xdeed0be9, 0x255565bc, 0xba782487, 0x42a6b93e, 0x84c08764, 0x579080f4, 0xe9373c8e,
+    0xd7152345, 0x689cf62b, 0x54d21ab1, 0x14dbfd0a, 0x56e2ea50, 0x22abadfa, 0xf4671689, 0xb2afa728,
+    0xe8d2110e, 0x859a856a, 0xaf6f34e9, 0xdb32e736, 0x0db84071, 0xff2fbc1b, 0x6b6bc075, 0x0eaf8a88,
+    0x35717096, 0xc4892e56, 0x06923359, 0x8e9bacfd, 0x2cd601ab, 0x43596485, 0x0d43d23f, 0xf571f3f6,
+    0xd39c90b4, 0xb562158e, 0x511dff30, 0x060175b5, 0x65d57c2b, 0x84745ef2, 0x482a088f, 0x5313af68,
+    0x1492e9fc, 0x1f42295b, 0xbcefa588, 0xf60cafac, 0x30d7138f, 0x2bd4060b, 0x02c4a1d6, 0xfdeb3bdd,
+    0xace9ce41, 0x60dc0adb, 0xef30c34e, 0xd2017c6b, 0x9e8796b6, 0x14c29bdb, 0xce6f1c5f, 0x503781c5,
+    0x655b76b3, 0x2a4db37d, 0x6bfabfa1, 0x5c3028b5, 0xc7cef40f, 0x84511731, 0xea0d87c1, 0x14e9a6c8,
+    0xe678c2e4, 0xfa98e177, 0x78298481, 0x567d8da3, 0x5d1902de, 0x6747751e, 0x78c93860, 0x5379668d,
+    0xecd32d2d, 0x4d40a35e, 0x3a3d22c7, 0x8076e50b, 0xf907b401, 0x208947ed, 0x22785121, 0x961423a1,
+    0x900b28d9, 0x634b6133, 0x20f7bcff, 0xdc658fa5, 0x8f56dfdf, 0xabcc8b88, 0x23900681, 0xa09a6348,
+    0x3555f4c1, 0xfb5aa2c0, 0xf69bc896, 0x7188c4c3, 0x8bddf9de, 0x275d553e, 0x55a15480, 0x3b6b5679,
+    0x1d3aa5d0, 0xfed4732d, 0x76315c70, 0x6b81f042, 0x438e0109, 0x8e8181c8, 0x85bad5fa, 0x43182416,
+    0xc5db56a1, 0x7be57e3c, 0x15d90864, 0xc6da933c, 0xfa7e5852, 0xd86e0b60, 0xb90f206a, 0x8d73646b,
+    0x69a8a027, 0x9918575d, 0x742c27b6, 0xb77499b1, 0xcda446e5, 0x259b5a05, 0x28224e39, 0x46ab1961,
+    0x3f258838, 0x77a7adc9, 0x73e72955, 0xe76640b4, 0x40f99d64, 0xca2354eb, 0x0da3f089, 0x61510e8c,
+    0x90261d59, 0xe5a35c0e, 0xa7f84fe4, 0xd419a2ca, 0x440b5d47, 0xd1687080, 0x333a0613, 0x79abd22c,
+    0xe8274e67, 0x81901756, 0x2ae7f46c, 0x4fd3b39e, 0x338541d6, 0x835091b3, 0x9048124e, 0x212fa2b6,
+    0x31ece06f, 0xbfce2ce7, 0xb40cd5b4, 0x8a7582da, 0x1341804b, 0xc3e7e160, 0xf122bdfa, 0x83ce05f1,
+    0xe9131ed8, 0x46f4fe38, 0x1c388415, 0x9e325e67, 0x4be6360f, 0xc54e2fd5, 0x9c56e230, 0x2fa26fcf,
+    0x81cc31fd, 0x7e4a4421, 0xc3b24e6a, 0xfe648bf2, 0xbf0cfe0d, 0xa6ec32f3, 0xbe3b2231, 0xe2c266a9,
+    0xb58910c8, 0x81b24195, 0x2735de90, 0x2eab7af1, 0x945c8b66, 0xa4fbd864, 0xd538d9f2, 0xb26f38b6,
+    0x25396869, 0x4ee257cc, 0x4fdf9967, 0xa02df61d, 0x60e13bab, 0x726eec60, 0x97a09953, 0x6b6dbd86,
+    0x81c0aae7, 0xd8f994d3, 0x95c669ff, 0x4afb3afe, 0x3e170f82, 0x74f95608, 0x173c60ea, 0x26c053f0,
+    0x01b013ed, 0xa220bc05, 0x939b7038, 0x938f3c83, 0x1f63adaa, 0x586a2329, 0xbb1c9f01, 0xd83ffe41,
+    0x6c446f9a, 0xcf34686d, 0x9f2b6194, 0x7ed65ac4, 0x4db487f1, 0x6087e80c, 0x1be78073, 0x003bce13,
+    0x889f9e2c, 0x616f5651, 0xfff4d1cc, 0x4189c253, 0x6c65041b, 0xd35a18f4, 0x342d9bfb, 0xbd36c30b,
+    0x7d298f63, 0xaee9470e, 0x291a85c4, 0x81a613bc, 0xe7c55abd, 0xb5a4b7ce, 0x384dc2c8, 0x42b2ce75,
+    0x559a222d, 0x6179762e, 0xff262fb6, 0x1ab06719, 0x578f3454, 0x45db49e5, 0x20e9a7e9, 0xcbe2637e,
+    0xd5a6524e, 0x9406c932, 0x04f64b9c, 0x77d6bbe3, 0x76385edf, 0xe689d7a3, 0x50f5e9b3, 0x095f9b02,
+    0x9ddf3fe5, 0x4e47afeb, 0x5206f504, 0x176300da, 0x84286d44, 0x2b6b7a36, 0xc5a95324, 0xc552e28f,
+    0xa75cbe98, 0x25771c8e, 0x35cc7aa8, 0xeb164da5, 0xbabae181, 0x9ece71dc, 0xdef07308, 0x6e7f7169,
+    0x993b5595, 0x4e91be7e, 0xe0e3b0cd, 0x3d49e4e8, 0xaa98d379, 0x11596bd3, 0xeb0327f3, 0x25f541bf,
+    0x9f94122e, 0x3c6e71f1, 0xc46ad735, 0x63389229, 0xd3c587c4, 0xa88934fb, 0x3c2ecd3a, 0x6735831d,
+    0x51e6d61b, 0xe143f2fd, 0x3b83be30, 0x8adc2110, 0xc7b46db2, 0xa7ebedd0, 0x4164d3ed, 0xf355c492,
+    0xb5aa4e6e, 0x4ab35a3e, 0xfb7caa0f, 0x9e9abd4e, 0xfb9eaab7, 0x2e6021f4, 0x36c01cca, 0xdf55ae17,
+    0x04cd031c, 0x65b09179, 0x5b46e8ab, 0x392d3817, 0x7d19264a, 0x27bfa147, 0x21aebea2, 0xb65a01db,
+    0x6072825d, 0x55e413d4, 0x2b940ffe, 0xef008ff3, 0x3b684b9f, 0xe638c502, 0x5b727a2b, 0x2ecf699f,
+    0x5673254f, 0xe399424d, 0x633058cb, 0xf962d12f, 0x37f14fd5, 0x117b5ca3, 0xc5345905, 0x660ad8b0,
+    0x14e5ee15, 0x053d063a, 0x8850dd6a, 0x76517e9e, 0x46d5e8dc, 0x99c3b862, 0x03df616c, 0x335e4442,
+    0x472b6a5f, 0x99aaa509, 0x19209b0f, 0xdda320b8, 0x8a8386a7, 0x439a63bc, 0x3a81b152, 0x1e55a204,
+    0x4d5d45c4, 0x244e1812, 0x38e4117d, 0x9067f498, 0x19bca571, 0x9e9b83cf, 0x091e79e2, 0xedddb12f,
+    0x0820804f, 0x136f6338, 0x796e6b53, 0xc78bb233, 0x06e4ceef, 0x8c015e89, 0x830fc51d, 0x4b35ed19,
+    0x3ac6a949, 0x22679074, 0x7eba0a92, 0x45e1e49f, 0xccfe99a5, 0x354d204b, 0x070696a8, 0x659061e6,
+    0xb24ea70d, 0x197691fb, 0xcd878b0b, 0x915d55a9, 0x9a7036ce, 0x3eb48ef5, 0x0ab251c6, 0x5fef172b,
+    0x19a797a1, 0x19203525, 0x396ab52a, 0x9ff4aff1, 0x204bfd05, 0x68b07b99, 0x6cfd984e, 0xa1185d35,
+    0x5a19c80c, 0x8385a91b, 0x0c3027a3, 0x3907c665, 0xd106e63b, 0xf6287b89, 0x63472031, 0xf5595267,
+    0xfb06e18a, 0x0aac7d28, 0x7b4d7d6a, 0xbd6c88ce, 0xd3ee75d0, 0x89b51748, 0x9005e0f4, 0xbdd8e419,
+    0xb7b92703, 0xbda97adc, 0xf3a3fb75, 0x0a455725, 0xd35a3c23, 0xadedb509, 0x2c862819, 0x0b02d2a0,
+    0xd9e09c8b, 0x32a6923c, 0xa6430e1b, 0x2e4b4d4d, 0xd6284f04, 0xf7496581, 0xe6893682, 0xbc77f789,
+    0x6405d68c, 0xb1049a3c, 0x1a7e75ab, 0x7d9b7d45, 0x7b12b548, 0x8ca8a091, 0x899b375d, 0x4fa4438a,
+    0xbdd377bb, 0x5ce99772, 0xb340cbe6, 0xbf00c8b8, 0xf0451690, 0x8f1b3d27, 0xc965b785, 0xb360a8c0,
+    0x46f056e5, 0x3ece53af, 0x43d712ae, 0xaec4c417, 0x544a4fb9, 0xd073e0ab, 0x064a8c86, 0x7b34d9ff,
+    0x488dffc8, 0x0e74ed56, 0x4be81ada, 0x998939df, 0x6307621d, 0x405096cc, 0x0d9bed73, 0x5b4fd987,
+    0x4b2f07dc, 0xa4f82543, 0xa827b386, 0xf0bf2225, 0x316ffae4, 0xff8324a3, 0x287907f4, 0x907331fb,
+    0xe3c880ae, 0x5042fe84, 0xce42ac76, 0x0fcaa841, 0xd52f68c5, 0xbf7c3955, 0x459fdad4, 0xe9cda361,
+    0xde359275, 0x24baa911, 0xdf3f2968, 0x46f1ebfe, 0x905590da, 0x85833039, 0xc43cc89e, 0xedf7ba5b,
+    0xfea0165d, 0x047e428b, 0x36bef040, 0x79454259, 0x1ba7f729, 0x9d9df832, 0x27d33115, 0xdf3f472a,
+    0x578f2de3, 0xd07e186f, 0x0b7db8fe, 0x17575351, 0x417d32f1, 0x62b44936, 0x2401bdad, 0x0faff787,
+    0x2b2fea4c, 0x0cedd527, 0x85c09692, 0x9c79851d, 0x759ce29e, 0xc6a1050b, 0x7c1aa57a, 0x9fd9d812,
+    0x86902f36, 0x56e40d9f, 0x3f5cc57e, 0x8d62ef05, 0x31b07b48, 0x56316d03, 0xcb5141e2, 0x72659d72,
+    0xf4a9028e, 0xe5fc4107, 0xd2aef9d9, 0xf2c7c481, 0xfee9b605, 0xc25b0032, 0x89e29394, 0x31e01a23,
+    0x339138d6, 0x47a67613, 0xc984eadd, 0xb9c7788c, 0xc5940e79, 0x40b8a05c, 0x5938d0dc, 0x870352a9,
+    0xdcabded4, 0xd9998169, 0xff5abc3b, 0x3e068702, 0x33ceb5f9, 0xecf50c9d, 0x52e2b578, 0x918bf30a,
+    0x1b0f5f03, 0x8794aa6f, 0xfaf49562, 0xf15dfe2e, 0xd7582cd8, 0x40ba6c44, 0xb8ab8d42, 0xfa77c028,
+    0xc836393c, 0x67b51e92, 0xa021fa89, 0xaf7233f1, 0x948e7b5c, 0xdc5fd36d, 0x6c1bf493, 0x42e30b29,
+    0x0665b7b5, 0xf50d019c, 0xdfdbc24d, 0x0118b021, 0x79bc6ed1, 0xd5222611, 0xe2259f04, 0x15739d33,
+    0x484eead8, 0x81f4cad1, 0x7c54bd65, 0x350ee4e8, 0xf19e9a2f, 0x5b3fe6ab, 0xb6a09aa5, 0x9cee955d,
+    0x3a4b990f, 0xa1157dc3, 0x22dc247b, 0x8c96b5bd, 0x80045f08, 0xa10b0279, 0xa96b47d3, 0xf383f924,
+    0x94a875ac, 0xaab80558, 0xd7af8ac4, 0xec0cc223, 0xa3efa36b, 0x4e28bf46, 0xc3d3ce96, 0xce377c3b,
+    0xed0a9dd7, 0x093a4816, 0xf1f37694, 0x57b3c264, 0x3e5ff494, 0x5254fa73, 0xf4e742e8, 0x49f6545a,
+    0x57c89d64, 0x7d67ad55, 0x9801a3ad, 0x2b85846b, 0xe11d0208, 0x99880321, 0xa6ea18b1, 0x40760071,
+    0xb92267a1, 0x671b4b39, 0x70c47d59, 0xdf3bfda0, 0xb75959b1, 0x19cb0401, 0xe6e8b693, 0x7f5235a0,
+    0x29424131, 0xec15245e, 0xc113c3ac, 0xf78a651f, 0xe5e413a9, 0x65871e0e, 0x25901f3c, 0x594a3aba,
+    0xbcf85ebe, 0xa7de64b4, 0x588061e3, 0x04d08985, 0x6ec5468b, 0xf72d9fed, 0x11b4ab2f, 0x62a61424,
+    0xdd74703a, 0x342c6b90, 0xf5640924, 0x5751ba37, 0x73b420ff, 0xfed495e9, 0xaaa88455, 0x68de70c7,
+    0x382e0849, 0x680740d3, 0x2ff40cf6, 0x41f0dd84, 0x548a6032, 0x655e4df4, 0x43c020b2, 0xad1c62f0,
+    0xee5d8b3a, 0x39dd758a, 0x158a55e0, 0x49f38004, 0xd48edfbe, 0x001a34d8, 0x1a461cf6, 0x094b5d72,
+    0xa5d17658, 0xe8323268, 0x83c9eff3, 0xfbd8b07d, 0x544bc2e9, 0xe03836e4, 0xef3a9ff0, 0x5029a7da,
+    0x23d0fbdd, 0xc3a829af, 0xb643609a, 0x31c81667, 0x058ca9b8, 0x695a8308, 0xa0292ab4, 0x736c52ac,
+    0xe6d95108, 0xb5c22999, 0xe6389d99, 0xfedc240d, 0xf29daa2e, 0x7669f87e, 0x3d962595, 0xd84a4329,
+    0xf4bcca58, 0xbb68a6d6, 0x68a543f5, 0x67bb6401, 0x4a62e6c2, 0x02d5ad5f, 0xd614ad5f, 0xb36cb3bc,
+    0x0462bb3a, 0x90a95934, 0xc34b78d7, 0xe373b68d, 0xf3d97cbb, 0xf7305437, 0x6b0667e3, 0xdbdd8254,
+    0x84205e12, 0x15f96f00, 0xd6303941, 0x72f6ace1, 0x0d450b0b, 0xad3b4cd8, 0xf68e9524, 0xdf43d714,
+    0x00000000,
+    0x8c3d317b, 0x24a9bfbe, 0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19,
+    0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000037\
+                          05346855594118253554271520278013051304639509300498049262642688253220148477952 */
+  { 0x00000000,
+    0x825c5049, 0xca631c2a, 0x9b2c536e, 0x0b24b59a, 0xf08886eb, 0xcce4b5c0, 0xb587fa25, 0xf3ca4655,
+    0xd5594167, 0xae0cac3c, 0xb9402952, 0xf47b6d47, 0xd7d8d0cb, 0x99de1476, 0xf6c0b74a, 0x6e6c4b8d,
+    0xa1b1028a, 0x878209d3, 0xb2dfe339, 0x0e54a749, 0x7a2023b2, 0x8954f548, 0x8cd8bc82, 0xd64bd666,
+    0x52482741, 0x8e91c6a1, 0xc0c3495f, 0xf76d9fbd, 0xe8b61184, 0x6a10a32a, 0xfe0fb586, 0x6e15be97,
+    0x03f2f976, 0x11105525, 0xc27d85dc, 0x524190b2, 0x4f23d6b0, 0x2171ceaa, 0xa0a8a3c3, 0xd508a7eb,
+    0xedeb8e4e, 0x99a6b417, 0x0cd90e63, 0x6b13266c, 0x61625387, 0xb69d9b2a, 0x43c93541, 0xa232c6f7,
+    0x2016bf65, 0x84d98a6f, 0x4cc90096, 0x6547487a, 0x92292d8a, 0xa194390c, 0x48b71941, 0x9b2a9532,
+    0x925e10f4, 0x3476d623, 0x72818563, 0xefaeecc9, 0xd75f192b, 0x18942bb8, 0xe549679e, 0x22a1dbfe,
+    0x2932d194, 0xeb8fa337, 0x35f72402, 0x9cf3ef41, 0x8d4e1275, 0x7d095f82, 0x48c66b5a, 0x2fd71de9,
+    0xb4b94f16, 0x436a08eb, 0xc643dd41, 0x29791d25, 0x651a9d12, 0xcc09d4ba, 0x58d98760, 0xf3d732ee,
+    0x9c082fab, 0x9a71308a, 0x0712bcce, 0x80e738f2, 0x6320d3b7, 0x5f33ab0b, 0xd0d91de6, 0x84967d01,
+    0xbd8637fa, 0x14836d3a, 0xdc4087c9, 0x852473ee, 0x24d75102, 0x84602ad4, 0xb1c7c5da, 0x1619ec36,
+    0x83ff0549, 0xf9565126, 0x8f14cf55, 0x13f81e27, 0x3155dabc, 0x29f9a4ea, 0x8576fec6, 0x2b008e2b,
+    0x3d4882ff, 0xf4fccdbf, 0xceecc6d7, 0x6065245a, 0xc93a20d1, 0xc3aeaa7e, 0xee17d5df, 0xfcfa8ae2,
+    0x4b0e4a86, 0xdfbb67d6, 0x2ddf31a7, 0x858848ed, 0x804b6fd8, 0x4f77aa56, 0x78dfa3e1, 0xfd7af984,
+    0xccb05b44, 0x19d44fad, 0x1e12b0c8, 0xda64ec0a, 0x7d4c5c30, 0x294d33db, 0xc5b1aaa2, 0x8df84c94,
+    0x7178c84a, 0x9fc67df8, 0x94abe164, 0xc0f0d0be, 0x95a6fcc9, 0x10064e3c, 0x35eb7699, 0x5b470a2d,
+    0xea8aa2a0, 0xd628e229, 0x3c62b965, 0xec1743dc, 0xc510fd2d, 0xd16e6a61, 0xc002f2fe, 0xac34d0ef,
+    0xf17c0c52, 0x50c2933c, 0x90d1c2d1, 0x9a5c6eec, 0x442f5434, 0x5ba2a21b, 0x67797134, 0xf2d7bd1c,
+    0xecaa83e5, 0x94ef1f0b, 0xa8dbd67a, 0x2c1644b2, 0x91ed76b9, 0x66b24c81, 0x06e0827e, 0x7d9b523f,
+    0x00110922, 0x5fbef6cd, 0xaa6245b5, 0x2cd9aa2a, 0x9d350438, 0x3a5e51a9, 0xb12afdf2, 0x5afd9b9d,
+    0xc1b16bc0, 0x367fb238, 0x4ed424ae, 0x89e09060, 0x4d960dd9, 0x77b0c087, 0x4d7b629b, 0x85254785,
+    0xbde1a558, 0xa3914070, 0x30a20644, 0xf959857f, 0xf436fec0, 0xc3f1004e, 0x009938cb, 0xc610ad18,
+    0x1284e638, 0x5d4caac3, 0x7e82c8c4, 0xf8b57cad, 0x5d072367, 0xa08ea363, 0xb591d186, 0x5423b8a0,
+    0x9978854f, 0xb04c363f, 0x18a6b2f2, 0x4517bede, 0x0aea26cc, 0x5e166a96, 0x620a1934, 0x7b33bb48,
+    0xacc4be60, 0x8b2f7b77, 0xcc22860f, 0x3ea43ad4, 0x73a607fb, 0x33db0521, 0x019dc451, 0xeba132ce,
+    0x2cfc1ea8, 0x19fc2719, 0x743ccd23, 0x04dddb17, 0x17fd7182, 0xa318d808, 0xe4dd10f1, 0x7bac039a,
+    0x0ac705bd, 0x9a3dd69a, 0xd4f30fec, 0x4ee447f3, 0x7a425a25, 0x7e924f6a, 0xf1aea80e, 0x6f667bff,
+    0xf12bf51c, 0x5020bf40, 0x281c1867, 0xc2978f68, 0x8c09e116, 0x226f9388, 0x6f7b649e, 0xda506863,
+    0x7e59a75e, 0xceac760f, 0x0b5e95a7, 0xef695b49, 0xbebbe2ba, 0x0af882ad, 0x08a5ab89, 0x9313d3a0,
+    0xb30ae567, 0xd5b84cf5, 0x36754e16, 0x88bb9730, 0x9131cc0d, 0x11ccbe51, 0xcd3db319, 0x560637e2,
+    0x013492d1, 0x3806e3b7, 0x62d1ea39, 0xbd090416, 0xe1e56040, 0x1bb330a2, 0x69231d48, 0xc81ae35b,
+    0xdb751373, 0xd76a07cd, 0xef37a806, 0xd501deb5, 0x1083ab9e, 0xe24c406d, 0x94d9b1cc, 0x68e6b5ca,
+    0xe65284dd, 0x32f94813, 0xc88a21fe, 0x6c9afbec, 0xbc5b8139, 0x678d37d3, 0x94d28d56, 0x2395232f,
+    0x05b5357d, 0xfa54ee1d, 0x4a32457e, 0xedd35c2f, 0x093e83fd, 0x149f5934, 0xc1973f33, 0xa79c3e36,
+    0xcb14bcbb, 0xdd1e39b2, 0xf648844a, 0x2b89ecbe, 0x36882953, 0xb3122d58, 0xc47689c1, 0xe5bf0597,
+    0x3e1c782e, 0xaba9fdad, 0xa27e0571, 0xff33b186, 0xc9b3761c, 0x72334afb, 0x17c17731, 0x2683470a,
+    0x9f525cae, 0xac44155d, 0x932ab12b, 0xe8c9b037, 0xe854a3a1, 0xe36c6330, 0x3adf78f2, 0xff59e564,
+    0xc7e56069, 0x535cb26e, 0xe13baa43, 0x219e8916, 0x3b0adc58, 0xc1eb05c7, 0xe91227f0, 0xb673bea3,
+    0xe44b44e2, 0x59cfb1b7, 0xa0f83346, 0x7cfc0a50, 0xe5981377, 0x15cd2919, 0x5f97df6a, 0x2e33f06c,
+    0x05144f16, 0x5245ab0b, 0xd55eae1d, 0x673aac75, 0x9ef5f1c8, 0x255a2271, 0xa9070fc7, 0x4bacd590,
+    0x02b18454, 0xb25fbdb3, 0xb9d969ae, 0x030181de, 0xb06af1d7, 0x57037d69, 0x75bcb948, 0x5c9d22aa,
+    0x39fce6ba, 0x78e24e36, 0x0a662046, 0x50f63cd1, 0xc773d04c, 0x49878384, 0x2ee8910d, 0xe629a61b,
+    0x37383914, 0x93cb14b8, 0x86f88e51, 0x91dd7d4a, 0xa51f341a, 0xbba44dea, 0x731cef45, 0x5229c236,
+    0x912c3f3b, 0x78da75ed, 0xb0ce57f0, 0xc9fe206a, 0xa06cc85d, 0xbaae342e, 0x26df8dbe, 0x613ca21c,
+    0x3d9ca45c, 0xe11b5c28, 0x5385f54a, 0xb31edb9a, 0x7b126aed, 0x91310be7, 0x10fd3b64, 0x20eb91f9,
+    0x6611365a, 0x5c9ab2fa, 0xce8434bc, 0x4faafaec, 0xee465f0a, 0x9444e0c9, 0xbed8878c, 0xc5a7ed03,
+    0x3a90ba1c, 0x70f6f042, 0xe60322f7, 0xd1e6de5d, 0x67622a40, 0x915d0ca0, 0xe3aff7df, 0x341de486,
+    0xcefb8d23, 0x4fc9b51b, 0x2713d76e, 0x2e40f827, 0x5b09a5a9, 0x4b9a3f48, 0x3e8bccd1, 0x4040b0e7,
+    0x17cd74a4, 0xc9ee61aa, 0xb6c27d09, 0xf5b750ef, 0x4aed398b, 0xdbbf46ec, 0xdde1432a, 0xf1fc8b86,
+    0xc332cde7, 0x2b84704b, 0x730c9af1, 0x7d881d38, 0xc1296028, 0xeccf05f8, 0xab46de0f, 0xb761dc6d,
+    0x1e08b212, 0xbecdc26b, 0xca368d54, 0xbfe39148, 0xd29e74f4, 0x99105c6c, 0xb8c2a1e6, 0x859884d5,
+    0x487a7d0b, 0xbdcfa155, 0xd0e19c25, 0xbdf4af0f, 0xbea2d6ed, 0xc8b436ba, 0x3885fc67, 0x57b2fa68,
+    0x68840c7c, 0xf4352d7c, 0x91487fb0, 0x2c0909d2, 0xf9521588, 0xd4664f04, 0x110f75a3, 0x5da2a8d4,
+    0x3f26d3d9, 0x09f4ebc8, 0xba6e6175, 0xd2b13c51, 0x3669dbd5, 0x9b08415f, 0x75600333, 0x0f6fd8e9,
+    0xc9979fbc, 0x9d9bdc1f, 0xbda36c87, 0x3182ad4a, 0x6dea5646, 0x3fbe88a4, 0xf849fc55, 0xadb16715,
+    0xabaecf3d, 0x87febedc, 0x013150a2, 0xe00dc1ac, 0x3e4c9048, 0x265f6b2b, 0xe3952104, 0xa8fd322d,
+    0xf606fae4, 0x308efdfc, 0x4032a4e4, 0xb47c0d19, 0x54581b53, 0x5d9d0e0c, 0x793701a5, 0x5a6a2dc5,
+    0x4dc83e82, 0x5d0abdf5, 0x4c0f4569, 0x5796cdf6, 0xdbda35cd, 0x029b019e, 0x3fc18809, 0x60d0a314,
+    0xf264ae2a, 0xee325ce9, 0x2cce1c49, 0x834000f6, 0x2b599c94, 0x909c90df, 0x7e02a027, 0x56addf28,
+    0x8e0dfd04, 0x40e28975, 0xf6def6ac, 0x888e3d7a, 0x940dcff8, 0x0cc38d29, 0xe0c3b776, 0xe0f22863,
+    0x293b5207, 0x5b136f30, 0x2efdaf86, 0x31b8ce94, 0x05846f96, 0xe9af9102, 0x63ff09d7, 0x9528b55d,
+    0xd08b43c9, 0x72108b8c, 0xa14a27b2, 0x9d0730c5, 0xc50a376d, 0x31a97ec7, 0xc5d44f9e, 0xe990cd4f,
+    0xa6f43a23, 0x8fc44f3e, 0xfeda6f6d, 0x38d245ff, 0x12493233, 0x813d14fa, 0x399023e0, 0xe7201d7d,
+    0x34db21a8, 0x83ff750e, 0x0f02db05, 0xd424f871, 0xa220999c, 0x89f3125d, 0xf8fe8ef8, 0xa8abf710,
+    0xe95cecfb, 0x7f6255d0, 0x16ea0d69, 0x1a3f5996, 0x18313eed, 0xc98ced85, 0x40a2c2fc, 0x8a087f92,
+    0x229d734c, 0x5a287fe8, 0xd3b89ecc, 0xafcc175f, 0xfa10b414, 0xd8c8e46a, 0x53f61574, 0xbbfce5a3,
+    0x81de925d, 0xff41cb94, 0x9e95ede8, 0x80afa2ca, 0x0bfd0eb5, 0x16a61c5c, 0xd1bda16d, 0x5e580cf0,
+    0x38382da5, 0xd15d3831, 0xa67a4c9d, 0xe891d4e7, 0xe5772d32, 0x57b9de62, 0xb0ecd5ad, 0xa7ab4df1,
+    0xa241c147, 0x57d29499, 0x06a74b0b, 0x0fd1caab, 0xce8f0ddf, 0x5082649a, 0xd77ceb34, 0x3ffee3ca,
+    0x33de44b2, 0xc1540bd5, 0x869d1ab1, 0x34dec76f, 0x9ab042fc, 0x6b5ca884, 0xd9d7959c, 0x8b02040f,
+    0xb7f781fc, 0x82c03829, 0xcb1a1334, 0x50dbd250, 0xf7db0f9d, 0x9bb00b9f, 0x408cc432, 0x39ecf6a9,
+    0x2706285d, 0x07aa6ea5, 0x4d2621bf, 0xcb219cba, 0xe512b2b5, 0xd2876d0e, 0xa4d12e7e, 0x76717067,
+    0x8e041717, 0x944dbaca, 0x7f917e57, 0x6d9c13ad, 0x5fd4d558, 0x8df03e2a, 0xbd6495ec, 0xe335c5a5,
+    0x16994b13, 0x9bf05360, 0x53d9b15a, 0x11c32268, 0x90dd4ba9, 0x50863dd3, 0xafa873cb, 0x31a6a128,
+    0x79758796, 0x75ecb583, 0xc21b75ff, 0xe7c67447, 0x5fcaef6a, 0x2b281b3d, 0x9185f39e, 0xcf5af2e6,
+    0xe705e04a, 0x8874b24d, 0x16dff003, 0x96b05bf7, 0xbac49ae9, 0xcc9ed19d, 0x692c776d, 0x2de53331,
+    0xa5bade6b, 0x5ba07377, 0x067a51be, 0xdd8c5762, 0x19844505, 0x74f33646, 0x949c4ca2, 0x2ed038f2,
+    0xe44b25d6, 0x1eb3fd14, 0x7ae17b57, 0x2b6d6025, 0xe9a8f0a7, 0x223acebf, 0xf82e4fa4, 0x9ffe90d2,
+    0x1b2b939c, 0xc0a41f00, 0x7f745eeb, 0xd52fd5de, 0x0c7e4d19, 0x2a802b58, 0x2ed24888, 0x010f3ec7,
+    0x1bab0889, 0xbdbb1c0f, 0x7e06da5d, 0xc6a65e89, 0x2e661b0c, 0xae7ae217, 0x678e6972, 0x53790b24,
+    0x05146c93, 0x15e0e3af, 0x03bbba26, 0x1228f8ea, 0x4fa0290d, 0x9ddcb9c1, 0x21fa48c6, 0x18d2b112,
+    0x668ddb79, 0x03d3e6ee, 0x92d7790a, 0xa9d21360, 0x5f2d8c2e, 0x5afebbac, 0x7279566e, 0x6e6235f9,
+    0x177f0451, 0xf8c70dfb, 0x8efb9d8c, 0xec9f5bf3, 0xff079e87, 0xa0887f79, 0x600a69aa, 0xf4103603,
+    0xf7fdcea2, 0x152140cb, 0x4a317fdc, 0xeebe5ecd, 0x55c87c4a, 0xac04d62a, 0xcc028d13, 0x906dd648,
+    0x17e63aec, 0xc00ad6b1, 0xb9ee9dbb, 0xa44bfac8, 0x095a686f, 0xb33d1154, 0x4f4ef682, 0x6cc92ca9,
+    0xfc2bc06c, 0x13c2377c, 0x057c98ce, 0x9f65289b, 0x5ee34892, 0x04ffca8f, 0x5da52793, 0x3f18336a,
+    0x8f4393f4, 0xf684a55f, 0xa2ed947b, 0x3e71cacb, 0xc85292ca, 0x724fafc7, 0x5ff41ae0, 0xe6ba0121,
+    0x5893002f, 0x51f98e86, 0xc8ba1b7f, 0xebdf871e, 0xa3f61525, 0xe54eb592, 0x3cc83106, 0xfca616f5,
+    0xb34e36dd, 0xa601406c, 0x139e2921, 0xf804853e, 0x4b87770e, 0x0fee1dca, 0xfc13e46f, 0x7d03336b,
+    0x54bb7af8, 0x36d0652b, 0x8e1a33e8, 0x30ea9fc3, 0x0fda095d, 0x894abb31, 0x5adcc20d, 0x887d44fe,
+    0x2db61399, 0x4ec48810, 0x07fd6073, 0x71168fd4, 0x0874f0f8, 0x01d9ecc0, 0xa41c356c, 0x054423e0,
+    0x0b6ed041, 0x9b4eeb5a, 0x451d2565, 0xce442372, 0x97a4f1a0, 0x87a04b41, 0x3641703f, 0x2c238336,
+    0x741cc764, 0x354a0a91, 0xce86377b, 0x644ad22e, 0xfff33acf, 0x4200a51e, 0x49641b84, 0x6dda6e97,
+    0x502748a3, 0x783d2ecc, 0xd519b268, 0x7faf8224, 0xde161011, 0xbe887bac, 0x34e83696, 0x860f52fc,
+    0x656c9784, 0xcfb93f81, 0x99016457, 0xcf76f64c, 0x645ca55e, 0x7631f859, 0x5e4eaaac, 0xffdad70e,
+    0x7506d8af, 0xe7a3e970, 0xcc061b07, 0xcdfa39b5, 0xe5568ea8, 0xcc466450, 0xe175c7dd, 0x8e0ddf9a,
+    0x3c19a16c, 0x7c3942a6, 0xd6ad24a8, 0x1bd6544a, 0x38fd702d, 0xc4d6bf85, 0xe7c0e755, 0x43990dc9,
+    0x84d543a5, 0xfa2a78fd, 0x32d24b80, 0x7a9dce90, 0x609e0d10, 0xd1bbf912, 0x0a2007d7, 0x78620a53,
+    0x111eeffb, 0x9f72ce9b, 0x91a6d4de, 0xdf1dad65, 0x4995f604, 0xea7188ad, 0x8d4f2810, 0xeebcfcb5,
+    0xbe2caa49, 0x675703b7, 0xb13cc58a, 0x38feb17f, 0xf35794f8, 0x41a7a046, 0xab87e028, 0x5e4013bd,
+    0x4236a674, 0x414e7918, 0xf4e21286, 0xc7e6636f, 0xb76fd1fc, 0x60530526, 0x848b478a, 0xc0f9f0c4,
+    0xd1f67741, 0xe14ac5de, 0x8b208c9f, 0x8f8c56f6, 0xb4596504, 0x4a6468b3, 0x40cf4434, 0x7404c3f5,
+    0x9899f6af, 0xf669665f, 0xd3270408, 0xf7ba8d5e, 0xe868b90f, 0x524ece32, 0x44695acb, 0x902534f2,
+    0xd05c1b1d, 0x90a450a5, 0x9827714a, 0xf3bf8a1b, 0x617e7b5e, 0x925c28da, 0xfe66744e, 0xc7af5336,
+    0xc2aacb22, 0xa258a2c6, 0x1f810998, 0x68349658, 0x5c785387, 0x12209f9f, 0xd1384553, 0xe03ecd63,
+    0x623e0094, 0xcbab92b7, 0x4fe7a465, 0xb4b82851, 0xe382e555, 0x66d0b1d8, 0x3f4c9495, 0xf8719ad4,
+    0xd93688d1, 0x6acd227a, 0x8ed85fde, 0x54b00423, 0x7efc3822, 0x6e39343b, 0xdf373c31, 0xa7a38aa8,
+    0xefe10cb2, 0xec508771, 0x95319c03, 0xb35df957, 0x8a819d77, 0xe0338349, 0xd78c6bba, 0x942754b7,
+    0xc7f5281c, 0x882ad91c, 0x5a3ff51f, 0xe5d716bd, 0x139fddc8, 0x2c4f8902, 0x34bf8c00, 0xb9e0b493,
+    0x81f14f22, 0x3dd1f721, 0x5a6f4826, 0xd592c3da, 0xf545ece0, 0xe9e1a8aa, 0x16ed2a26, 0xcfb749db,
+    0x5e0c0e53, 0x504b8588, 0xa0a92f17, 0xffc725ae, 0x494238b7, 0x13a2232c, 0x899a40cb, 0x1db65b6e,
+    0x3c14d6dc, 0x72f58335, 0x03461568, 0x4dedac30, 0x9ad24e6a, 0xaa402447, 0xd9be8f22, 0xd47aff4c,
+    0x7eb43751, 0xaec9be58, 0xfd759ad3, 0x837fc342, 0xd0d38764, 0x46af20b4, 0xb76e7a2d, 0x1c958e02,
+    0xabd2704b, 0xa448ccc5, 0x6b41514d, 0x8d132dd5, 0x6449b724, 0x9c538b25, 0xfe61d7a5, 0x52d50f27,
+    0x55a5d205, 0xb15c63ca, 0x3aee36d8, 0x17bedbdd, 0x586b9431, 0x85b18d3a, 0xd18ecb2b, 0x7c19536f,
+    0x174669c4, 0xcad101b8, 0xd6e3916f, 0x9d5adacb, 0xb9bb1687, 0x8c7c3758, 0x094f97fd, 0x08959235,
+    0x5af9cce4, 0x075a14cd, 0xd3eeae52, 0xc44e51b5, 0xcbb1c64c, 0x94d754ae, 0x704101b3, 0xa88cd66c,
+    0xb10f96f0, 0x74fbd0a1, 0xf48557f0, 0x2ebeb4ef, 0x9c43a210, 0x395e372c, 0x9528bdbc, 0x30973cc2,
+    0x627aa416, 0x67a11eec, 0x24f897c6, 0x751f2fef, 0x1fca5572, 0x61797791, 0xccf5d6e0, 0x80e329a0,
+    0xabcdd4b6, 0x026b4b17, 0xcadef01a, 0xda1e5cfd, 0xa9977bcf, 0x33c67541, 0x165b7e6b, 0xc5e5b143,
+    0xeb391cb1, 0x5ce5901d, 0x146a9f5a, 0x21d7cdf4, 0x2e8ebef5, 0x04004f1e, 0xbeea1f69, 0x331706d5,
+    0x7b7fdbe1, 0xe4b2e93a, 0xb8993cee, 0xe6138fde, 0xea63150c, 0xefcc1691, 0x41c33e54, 0xb01249c9,
+    0x260adf12, 0x57bcd47b, 0xd4fe90ea, 0x68aa0f8f, 0x8826f5d3, 0xd395a428, 0x470556bd, 0x4be97876,
+    0xdc0786fa, 0x43456a86, 0xe751d65e, 0xe5daeebd, 0xf24273bc, 0x151d620a, 0x26444f5f, 0x5aa26a6a,
+    0xdce4bc4a, 0xcf50a3d9, 0xe2415c47, 0xd3cd75f3, 0x9ada60c5, 0x1db7c3e9, 0x3ed3302d, 0xa90cd035,
+    0x00000000,
+    0x461e98bd, 0x9254dfdf, 0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c,
+    0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000018\
+                          52673427797059126777135760139006525652319754650249024631321344126610074238976 */
+  { 0x00000000,
+    0x2585f66f, 0xa1f179a8, 0x9ec2d215, 0x4f5f8d08, 0x21122a57, 0x5a326607, 0x113d85cf, 0x7bab7fb5,
+    0xbdf82b7c, 0x7c601b9b, 0x88ad59e0, 0x583dee84, 0xc97b38ef, 0x17586afc, 0x0ec226c5, 0x8ff2ad26,
+    0xba26371c, 0x7da7ce0b, 0x6e61def1, 0x6bfde38f, 0xce78cfa1, 0x66f722cb, 0x3250ceb4, 0xcbdb1c68,
+    0xa57de751, 0xaa0514c0, 0x76a77c6f, 0x28f6ad87, 0x6c711587, 0xc18fb0d5, 0xaf1c665c, 0xfe8aed17,
+    0x0f9a0a05, 0x36a100ef, 0x6177437b, 0x157dbcfa, 0x98d98bd4, 0x27abd445, 0xa0c44e8d, 0x9251ff92,
+    0xd39f87db, 0xaf81edc0, 0xc208f00c, 0x7ff6d7be, 0xb3b6b5a0, 0xc877be31, 0xfca3b619, 0x7f0b6617,
+    0x7cb67000, 0x1d19c052, 0x59a069db, 0xbf296301, 0x29d21af2, 0xd8766366, 0x29d12f0d, 0x3b11d492,
+    0x0a6f0348, 0x4853b5b4, 0x9107ba46, 0x1951bacb, 0xfb4fd79a, 0x1d7f7f5c, 0x9b119a14, 0x85be8a27,
+    0xf5a1dbfa, 0x087c5f0b, 0xc850d54a, 0xf8a63f51, 0x83852be6, 0xe4cc9947, 0xfa4118a2, 0x68361054,
+    0x2ca73ab7, 0x584ab31e, 0xb8f707b2, 0xa9d305e0, 0xf8c16212, 0x224964a1, 0xc77e6bc5, 0x688dda29,
+    0x63ce60f7, 0x4006bbd8, 0xcf8583af, 0x7fe74bf8, 0x4e837a30, 0x57552948, 0xe372122c, 0x6e64ddda,
+    0x7398809f, 0x37942281, 0x8929dedf, 0x5f3fe47a, 0x77ba3b78, 0x28f07f2d, 0x188b9c0c, 0x73feeb8a,
+    0xcf7e176c, 0xcd957462, 0xa80b67f3, 0xce78fef5, 0x14238ec3, 0x1fc06503, 0xd994e35a, 0x992c9f60,
+    0x5aab6206, 0xda0d1cd7, 0x5e50fa73, 0xb533add2, 0x19111c4c, 0xbad6d45c, 0xa25e05b7, 0x3428fcae,
+    0xcfb1b0a4, 0x53ea15ec, 0xcc18957e, 0x29c64adb, 0x2dfd816e, 0x7c226f97, 0xe294cd3d, 0xd9b03f34,
+    0x871f94ba, 0xcc75f9c4, 0x2acb90ae, 0xaa3f8cf5, 0x4d0f3686, 0x6441264b, 0x41c833b9, 0x18e04e41,
+    0x5f98c537, 0xa41eca47, 0x8c0221d2, 0x16c359d7, 0x23a6dc5c, 0xfd048afd, 0xe40093c9, 0xf2db8eff,
+    0x12a541db, 0xb05df670, 0xd6b28320, 0x6fde973d, 0x4334e81a, 0x65bf5ba0, 0xe8fe277f, 0x507b8066,
+    0xcdac81be, 0xe8a93a6d, 0x8f2d9dbc, 0xbb5c8fad, 0x094ea06b, 0x898729b4, 0xf1384a9a, 0x7a0a9ac9,
+    0x9203d7e9, 0x8d6d9df9, 0x34c19bd0, 0x11e2fbee, 0x83c06f52, 0x2e33d03c, 0xb0fff54e, 0xc3f4ece7,
+    0xb3064567, 0xc8b608a3, 0x18bccef7, 0x2b29cf09, 0x8539eb1e, 0xdfee156c, 0x608b4210, 0xf82131b7,
+    0x8eb93c95, 0xcba53d27, 0xf123f116, 0xe185c2d5, 0xf9de271a, 0xa3dbecc7, 0x996b8a65, 0x940ee8dc,
+    0xb28d573a, 0x74a236e1, 0xa1dfb85c, 0xca47c7c7, 0x670d8f2e, 0xc34194eb, 0x4f5daf84, 0x3d05690a,
+    0x38016095, 0x7b131ff6, 0xbd999bcc, 0xd61ff67c, 0xaf601882, 0xbd86fc0a, 0x1abe7dc7, 0x69173bf9,
+    0xa74db879, 0xbf9b9ca8, 0x198411e0, 0x779626f0, 0x18024ba9, 0x6447dc58, 0x5f7fb965, 0x817d6bd4,
+    0x44228a5e, 0xb74cdb2a, 0x9105c43e, 0xb107b3bf, 0x9361c447, 0x775ca4e6, 0xda65d6fc, 0xe38a08d2,
+    0x3f2f7a36, 0x64f2cf7c, 0x99cbbef0, 0x4135dd9d, 0x613711cd, 0x89735605, 0x3caf6e28, 0x5b76af64,
+    0x02ef5c05, 0xecf7ffae, 0x351bd0c5, 0xf2c8e6af, 0x27f83b70, 0x523ce58f, 0x5a80a7fe, 0x2c0b6bd4,
+    0x7ca607d0, 0xf3f50b0b, 0x613579be, 0xf04e269f, 0xc32bce6e, 0x62ed1ef8, 0xcab1261f, 0xa7e32d2b,
+    0x2a4d150d, 0xe964f896, 0x3cbd43bd, 0xb5fc3347, 0x63136fc8, 0x7a3bc372, 0x96eb3a15, 0x3b6d9521,
+    0x8942e650, 0x05b44b79, 0x9ba8a332, 0x80025238, 0x94433312, 0xec96ac0f, 0xd4103d93, 0x810b6657,
+    0x6fecceac, 0x0ecdbdea, 0xd0d75d96, 0xcfbab35f, 0x6cafe24e, 0xc916eac4, 0x5d960e13, 0xef776d18,
+    0xcd625bf9, 0x1e814000, 0x24b71c28, 0x3abeed0d, 0x52f11ab6, 0x84bb4fb0, 0xd3aa56d0, 0x443ba945,
+    0x7ff196f7, 0x6cdd8bbe, 0x4afd26cb, 0x17aa1c1b, 0xf829390c, 0x356667df, 0x8f640399, 0x639ceb5e,
+    0x4cbd76a0, 0x745703e5, 0xa7b7b474, 0xc2544057, 0xe030e8fb, 0xb9bc7ad4, 0xa10a73e6, 0xf51f987a,
+    0xe576325f, 0x4cb6f4d5, 0x74a11337, 0xdd565be7, 0x332c0b79, 0x461acf33, 0x97c0d203, 0x75cd7307,
+    0xbc76c997, 0x24ea0fa7, 0x5b9f5233, 0x0d35f902, 0xc788833b, 0xbb49a3be, 0x4d22fe61, 0x7bd68699,
+    0xdb5f9841, 0x965b4fa2, 0xa6169e7b, 0x8dcf6ed1, 0x0562b6fe, 0x34a6500e, 0xacd33d70, 0x6c165426,
+    0x423e84c6, 0xfb48011d, 0x887ebd35, 0xed02d82a, 0x7db40c47, 0x9acd579a, 0xb156c955, 0x4e7a859f,
+    0x4caf6f10, 0x83ee8198, 0x6e9f3476, 0x3668db01, 0x1e2d7fca, 0x14fa833d, 0xd10145ae, 0xbf428013,
+    0x23ae7beb, 0xed913657, 0xe56d1160, 0xa274286e, 0x4a8f1a87, 0xc23a4dc2, 0x66fd4894, 0xade52d21,
+    0x21ca0899, 0xc7c058ce, 0x18001573, 0x2055b0e0, 0x25f8c83f, 0xce7ae8fd, 0x434ec158, 0x760a4b26,
+    0xe60abef8, 0xced824ad, 0x55e060e1, 0x7127e2a9, 0x6d060f85, 0xb2b33142, 0xedf4183b, 0xe6857c14,
+    0x67d479b5, 0x7f65144d, 0x64e4c18b, 0xed88f4a6, 0xc80b76e1, 0x6fa48f4b, 0x5082c776, 0x57792fbe,
+    0xefa77d95, 0xdbc2292f, 0xf30fa1fa, 0x525c7e09, 0x0ef88a87, 0x22f94c78, 0x5f3fa6c1, 0xa2d40024,
+    0xb2d64b2d, 0xd9721425, 0xed1c6589, 0xf7b5ea04, 0x6201cd44, 0xab5089cb, 0x3692c466, 0x36fc7cb5,
+    0x7865b7f8, 0xd5b69622, 0x3ef4d47b, 0x7c2a8216, 0x31141960, 0x46c2cfb4, 0x01594837, 0x21f12e5a,
+    0x25ecbb6e, 0x45003747, 0x3b21a083, 0x360ec1fc, 0x9d9d1cbc, 0x52cfd400, 0xf22a5146, 0x21ed4d5b,
+    0xa532c4a8, 0xc57598e8, 0xc344924b, 0xb9346d34, 0x0a000bb8, 0xd0f6741a, 0x31635833, 0x73eb2add,
+    0x7d973f77, 0x83408d0d, 0x63bae145, 0xe5d76434, 0x9c2a9c9e, 0xab9561f4, 0xc7956cfd, 0xd480947d,
+    0x0f1861de, 0xdfe6c987, 0x0a21b53e, 0x1133defc, 0xf9d72941, 0xebd28500, 0x19692673, 0x481a83de,
+    0x41829895, 0xacafccd7, 0xab983cc8, 0x8198a618, 0x3249d349, 0xd82732b5, 0xe187e7c1, 0x2061d79a,
+    0xa4a9fb8f, 0x5a878ba6, 0x6093e090, 0x768b4e36, 0x3414bd98, 0xc7052843, 0x04c2d7c2, 0x185443df,
+    0x85542333, 0xf34e1c3b, 0x40bae3c8, 0xdd0208f8, 0xc40ee6bf, 0xc4f8c023, 0xd4b3ab96, 0x1d73ad71,
+    0xee6adece, 0xe548baff, 0x54bcd218, 0x39a8bb8c, 0x598dca39, 0xf011a63c, 0xf858f8d7, 0x9b5856ae,
+    0xd8ce9b70, 0xb5739e89, 0x40a11d6c, 0xf790ba4e, 0x9aef824d, 0xf8800f7b, 0x729a0782, 0x22cb4eec,
+    0x2d9bf04b, 0x75c3e0d7, 0xb41622ac, 0xd4c442cb, 0xe9d9f239, 0xd5dcc768, 0x6c192afe, 0x9e30c4c6,
+    0x8d0edffd, 0xe2cdb23d, 0x44d9bd16, 0x77f58011, 0xe0a3f497, 0xccc94881, 0x2b83b0ad, 0xc9754f97,
+    0x341ba99b, 0x385c9aa6, 0xa57e3033, 0xa227eaf0, 0xd60d1763, 0x48c9248f, 0x91dbeaae, 0xd594d661,
+    0xced3b2a6, 0x686bd05c, 0xd1a4571a, 0x7124a939, 0xe0e12ed7, 0x7aeb2e4a, 0xc7b9ff0f, 0xd5d3829e,
+    0xc99bbf53, 0x6d33e92f, 0x87e1e447, 0xf15e0261, 0xf216a5c4, 0xdb7a6ae3, 0x56587a62, 0xb3dbc267,
+    0x22637639, 0x387da007, 0x82c6b672, 0xc94727fd, 0x2ae7e8dc, 0x57872f75, 0x1aaeaa3f, 0x796aa9df,
+    0xe462f464, 0xb6fd5b0a, 0x6fe4aa34, 0x56e08610, 0x8c08f573, 0xae5f3833, 0xf7b10fda, 0x9aae192d,
+    0xff24e62a, 0xb116d95c, 0xe3093ce1, 0x8896c806, 0x30482ade, 0xd3ef9f8a, 0x6b4ef5c1, 0x37389565,
+    0xfb1d042d, 0xae352f67, 0x84b10014, 0x70baa93e, 0xc0b7570f, 0x4bf3f59b, 0x6d8a8069, 0xf48fa9e6,
+    0x334ec361, 0x1f0890c6, 0xcc703a19, 0xaa9b89e6, 0xc627583d, 0x57c14768, 0x69059bf4, 0x315219f4,
+    0xc7c0633b, 0xef5fec07, 0x93679b1b, 0x4887c49e, 0x044fe30d, 0xb2ddc000, 0x26fca684, 0x7ca34488,
+    0x9509bae1, 0x9da50331, 0xe56f4eb7, 0x0ef02576, 0x9e41fa2c, 0x36409257, 0x8bcbec60, 0x42c913eb,
+    0x42503597, 0xb8867d1f, 0xc4521c3f, 0x4f63fe8b, 0x95f20f75, 0x9db2dcc9, 0x98e2cac0, 0x6bcfd140,
+    0xe6cd2945, 0xa865dcbc, 0xc73441b9, 0x0ab96819, 0x6221ab6c, 0x7747c2ee, 0x7b6eab58, 0xd8ea170c,
+    0xde5d817c, 0x0b0ce7c9, 0xf5173826, 0x7002c151, 0xf74cf070, 0x54256158, 0xbaf4767d, 0x12e25119,
+    0xd747ebd3, 0xf0811b8c, 0xe3d47624, 0x43a002ec, 0x07a0a560, 0xdc5514a0, 0x71609148, 0x364f3450,
+    0xe4b1a408, 0xb2c00dcf, 0xd5cc9994, 0xceae8248, 0x1794b00f, 0xf41714d3, 0x47cfa6d0, 0x9dc4b5d4,
+    0xfe38c625, 0x18d84455, 0x2d638fb5, 0x7428ec25, 0xe1ab809c, 0xc9856209, 0x6f90727b, 0xca907f36,
+    0xbeec24a3, 0x3b4c3f08, 0xb4024021, 0x1d6c3104, 0x0d3782e3, 0x61f22469, 0x8ace26e7, 0x082d74a8,
+    0x2b2e73af, 0x5fe7e5db, 0xc443e365, 0xbf4fcb6a, 0x2c4c2ed3, 0xdd80ebb6, 0xafdf1096, 0x36b695a8,
+    0x211463fb, 0x2f71fa72, 0xbb63f92d, 0x5054187f, 0x60338cf6, 0xa6f67319, 0xf5db5277, 0x288f39f2,
+    0xe9bcf026, 0x425ad508, 0xfb3aade1, 0x9d84ccce, 0x95f54a4c, 0xe93ba41f, 0x968116b5, 0x8d6a8aad,
+    0xe04e17ed, 0x69fa654e, 0x96536652, 0x2ac4411c, 0xd3659612, 0x38880baa, 0x537aefa3, 0x15c925a9,
+    0x10be8b85, 0x1d7e9b35, 0x262ceb4b, 0x0e405759, 0x8645cdef, 0xd27af0a3, 0x0855b063, 0x77b22dd6,
+    0x7ecf0d3e, 0x68b08e96, 0xeb19a9da, 0x9f8cfd52, 0x605e04d4, 0xf79e223e, 0x15dde234, 0x49710afe,
+    0x29af4525, 0x482190a9, 0x533e8faf, 0x3e1e789d, 0x7ecc77ec, 0xeab0e46d, 0xc4b643e4, 0x7f46b43e,
+    0x894f1bbf, 0x13d3c83a, 0x79cf3473, 0x01a9c61d, 0x87fd91e7, 0x41a89cd5, 0x52625422, 0xfa64420a,
+    0xdac5de7c, 0x2b43df31, 0x03da0abe, 0x60d2cb47, 0x3982366b, 0x1c345b7c, 0x817e4049, 0xe73232a9,
+    0x14c13075, 0xb8b8fab4, 0xd6aee0dc, 0xa6950216, 0x1188c719, 0x37873c20, 0xc6ba7f36, 0xef238315,
+    0x6ee7e321, 0x3206648c, 0xaf80242c, 0x0d262187, 0xa272285b, 0x6cc731d4, 0x795d1881, 0x5a503341,
+    0x56546875, 0xf47bd0b7, 0x2edf853b, 0x794c349f, 0xb7af5962, 0xd04bb3ef, 0xb63039dc, 0xfa079345,
+    0x6d1dfd2f, 0x1be9693a, 0xcca7cf01, 0x13b4a45b, 0x45150865, 0xa5024039, 0x3c52f410, 0xcd1ced98,
+    0x41642db9, 0xec56e21a, 0x17a6bbab, 0xd87bde66, 0xad408bf3, 0x593b9c56, 0x4e0c1795, 0x0a945725,
+    0xef089bb9, 0x385faa6e, 0x11d3bc5a, 0x807f7df2, 0xa415a5c9, 0xf6c0d0c6, 0x4fbfe5d5, 0x209cad19,
+    0x93e9f198, 0xccf415b6, 0x83c2c9e8, 0x4f01c765, 0xf10c3632, 0x08d703dd, 0x19ff82df, 0xf3dc970a,
+    0xd21a45db, 0x63e06deb, 0xf0d43561, 0xc877f521, 0xd99cad43, 0xf765ecc1, 0x9eae71ac, 0xc9fbaa42,
+    0x8a451686, 0xbf8eb989, 0x384c08a8, 0x82f73172, 0xff8f7cd0, 0x8de25f8e, 0x3dfa3f37, 0x768f20b7,
+    0xd715ddee, 0x56853eaa, 0xc1675162, 0xf5c9b1a7, 0x773ab4a1, 0x329619ae, 0x712cf43a, 0xfac17377,
+    0x8f580700, 0x640049a9, 0x04aaaef9, 0xd593f1a0, 0xf0d55093, 0x642a80e1, 0x778522c2, 0x55e4efac,
+    0x053ad4e3, 0x72e35183, 0x4743efda, 0xc3bf0e7f, 0xb444f7c6, 0x51a67d94, 0x662383fd, 0x624abc0e,
+    0xef21bdd4, 0x0f099712, 0x5d041920, 0x8b636b4c, 0x1439f284, 0x00b3c852, 0x989d111b, 0xd03dadaf,
+    0xbb90e728, 0xb5b536c0, 0x0887a8b1, 0x25c45a29, 0x65e7c4de, 0x66900273, 0x9f4cfb6f, 0xe262899b,
+    0x15511440, 0x0d4c3a46, 0xe89bf3d1, 0xa75ac42f, 0xc2dd2353, 0x358c7128, 0x9c609111, 0x4e16e233,
+    0xc2d91da3, 0xd2ffb6a6, 0x8cc98cd9, 0x5a087c3f, 0xd36d1fea, 0x3e35d43d, 0x5c8f79bc, 0x4608b939,
+    0x746114ba, 0x90cfd48d, 0x29ca39fa, 0xa4b2f435, 0x802bf1b9, 0x16794161, 0x7c25804d, 0x28bf2bac,
+    0xdeb5a40d, 0xf7568915, 0x648d6262, 0x091cca57, 0xbdc29ada, 0xb0f60cb1, 0xb777a98b, 0x2e423f1b,
+    0x06a960f9, 0x0c7d5c01, 0x27d13045, 0xa748abce, 0x3cc771bd, 0x3d34fa73, 0xd36ce65a, 0xf28c2ca9,
+    0x25301219, 0x49129173, 0x16835cfe, 0x38cbfcf7, 0x07716c6d, 0xf3f803b1, 0xd0358424, 0xe37abaaf,
+    0xe63d76ea, 0xfee083b2, 0x31ac9dd0, 0x077465a3, 0xbc26ebe6, 0x59b82b88, 0xa157e876, 0x6f5840ee,
+    0xc059405a, 0x72a6fd0c, 0xe3124b9f, 0xbed05051, 0xb4c3b201, 0x79e13f6e, 0x23f265d0, 0xd8eb2d42,
+    0xbe548c55, 0x8d53f295, 0x22dcc2eb, 0x7571dadb, 0x4047155e, 0x33181c09, 0xafcf47a6, 0xe2a04160,
+    0x0dd4437c, 0x22aee34c, 0x07a3f479, 0x4f1946df, 0xdf364c50, 0x730332f4, 0xf5ca41b2, 0xd2206661,
+    0x7516f8bd, 0x5f4de761, 0x0eb8d194, 0x40db2867, 0x7e3d9961, 0x4d37ac52, 0xbcdf05fe, 0xb19a8b87,
+    0x36ae3f46, 0x354928cc, 0x4a829959, 0x31a87351, 0xec7a1963, 0x540df254, 0xd095908b, 0x1e7f2bf9,
+    0xe32bb810, 0xe05ce935, 0xab71e2a1, 0x37a3c8d8, 0x632e9c70, 0x0d87311a, 0x676c2ec7, 0xbd98d4cf,
+    0xb809f3b6, 0x3f745772, 0x56f37968, 0x0375fe10, 0xf535e28b, 0x02b91e97, 0x345f0df2, 0x83809d6c,
+    0xbe8df5a0, 0xc1d8c359, 0xf803f48b, 0x663b6743, 0xef688317, 0x4157fc69, 0x7e0c35ef, 0x914e4d51,
+    0xc6b9d7f5, 0x90754773, 0xd64db5dd, 0x93cd38c9, 0x957f39ae, 0xf66d57e2, 0xc3d34aa4, 0x9ca287d3,
+    0xd736e869, 0xb8c5a49f, 0x27d39dc9, 0x95a50ede, 0x78811a70, 0x887eeb22, 0xf055c871, 0x9aa67271,
+    0x042d4f67, 0x2716b503, 0x9892c269, 0xd55c4e62, 0xf0914b56, 0x2f1a28a1, 0x5ccd9f54, 0xf157ac2a,
+    0x98aa2b14, 0x7e666f8f, 0x9dff7e4a, 0x30c2d3f8, 0xdcbbc256, 0xc95170a5, 0x0f8b235e, 0xae44fa46,
+    0x4b54eded, 0xd4621db5, 0x69cf7814, 0xe00e5cca, 0xbd295a9c, 0x5500682b, 0x839fdb2d, 0x86bee1bd,
+    0x57ec4ffe, 0xa52c3c77, 0xecf51ba7, 0x57608699, 0xa568a929, 0xe1da619d, 0x440070fa, 0xf2513670,
+    0xfd19af6d, 0xc9d8ab99, 0x4e9b87a1, 0xbcb9af27, 0x5de629db, 0xaebd2a63, 0x7ec29115, 0xc735a1bf,
+    0x00eb2bbb, 0xd5bf3c7c, 0xb10922fb, 0x63d1a5be, 0xd3489d3a, 0xcc3e84b6, 0x23058e10, 0xb882f865,
+    0x8ace026b, 0xef36996a, 0x98fc6940, 0xdd81b8c0, 0x5b950109, 0x30d9a401, 0x76708d4c, 0x070cdac5,
+    0xc0e0f1b7, 0xf33dbdac, 0xebfb9ce9, 0x5dc8f9aa, 0x46680f54, 0x2f3185e8, 0xb46a1a75, 0xf504fb64,
+    0xeaca2527, 0x3a4415ba, 0x99c31000, 0x8d226cff, 0x49c4a7fe, 0xd8c6cb7b, 0xcbe325bb, 0xf7cc5211,
+    0x1fc24c76, 0x85718689, 0x8e19d338, 0xeed7e0fd, 0x0e27a6c5, 0x2caa0a75, 0x59b387fb, 0x49332b68,
+    0x2e38a29d, 0x8c882520, 0x7c4ba605, 0xb5386718, 0xbe02107f, 0xf521369c, 0xea917d50, 0x931998da,
+    0x00000000,
+    0xa30f4c5e, 0xc92a6fef, 0x098a562d, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686,
+    0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000009\
+                          26336713898529563388567880069503262826159877325124512315660672063305037119488 */
+  { 0x00000000,
+    0xc3fb7cd5, 0xf4d81296, 0x9e1a3740, 0x03ad905d, 0x9dda3931, 0x1c48e526, 0xd1101945, 0xb8c66749,
+    0x3f1f408e, 0x7b7affe2, 0xcdfb0819, 0xff0fe08f, 0x1e493d2c, 0x4c4fc013, 0xe9eb1012, 0xacd4a2ee,
+    0xfded60b4, 0xebdc680f, 0x848810c7, 0x13ba17dc, 0x3ecba7aa, 0x7988075d, 0xbe9ab52c, 0x609000e0,
+    0xaf47243f, 0x4d940325, 0xcd6ab81d, 0x572425bc, 0x0d0e5783, 0x632ff925, 0xb537eec8, 0xaf9ba690,
+    0x829322d5, 0x05012aed, 0x72973f50, 0x3b13f282, 0x4402326e, 0x7af9197a, 0x02840db2, 0x55154dd1,
+    0x256ec604, 0xccf83834, 0x54da019a, 0xc91505f8, 0x05dea328, 0xb59bf91f, 0x169d4ae6, 0x3895dad3,
+    0xa6e90b83, 0x9fb4c90f, 0xcdacb863, 0xaebdf1e4, 0x57793cdc, 0x7df22137, 0x58268410, 0x89079537,
+    0x08f7f7ea, 0xac59480e, 0xf533ba52, 0xaa152258, 0x504d2c14, 0xdc2377dc, 0x65718a5c, 0x0c25bc82,
+    0x3a2c8a4b, 0x784c1c25, 0xc2da2e3b, 0x8bbada31, 0x80ecbefc, 0xfdd10764, 0x6b03ff97, 0x62eb77bc,
+    0x4021b3eb, 0x7b170a87, 0xd601906c, 0xd99a51e9, 0x0f002e64, 0x2eff5dc7, 0xb7de5b9a, 0x121245f2,
+    0xb3dab1b6, 0x9390ed9b, 0x72aa45a9, 0xef56617d, 0x570ef1bc, 0xb618b456, 0x49028a67, 0xab0d6bfe,
+    0xed44a522, 0xd5d4e4f1, 0x809324fc, 0x48ef7037, 0x07e114fe, 0x98949507, 0x41d9d46d, 0x5c7456a4,
+    0xfe06ad7d, 0xf445f166, 0x40d64b41, 0xc359398c, 0xfdf0c249, 0xd5f714f3, 0xf74f3c93, 0x67a854e7,
+    0x4d11f981, 0xa048e5b5, 0x81c1bdee, 0x58f93e29, 0xbb65af8c, 0x032b1d39, 0xbd3f85c7, 0x21381200,
+    0xa47465a9, 0x5fdea702, 0x7c605c33, 0x628c9856, 0xc7aa7a21, 0x47cb85b7, 0xd3ac597c, 0xe12aca36,
+    0xd699a2d8, 0x76dcd9fe, 0x1964ce38, 0x03ec5f9d, 0x7f5eb1f6, 0xc0220ea6, 0x748e25d8, 0x91b7450d,
+    0xafa92f80, 0xa0322434, 0xa40f8bf8, 0x19849885, 0xb82213fa, 0xf1a47ba3, 0x3ef3d447, 0x6fb1b4c2,
+    0x5d85dc77, 0x87198a1f, 0x1092f198, 0xc848f154, 0x5fff2225, 0x23b0f1b7, 0x019cef23, 0x62280020,
+    0x17748190, 0x1bc034ff, 0x4bd0b046, 0x9d55a7b3, 0x0a300cee, 0x26e6f799, 0xef2c76c3, 0x0a4775a5,
+    0x97f311e8, 0xd221fd52, 0x552cb5a0, 0xa550e04d, 0x2a660811, 0x59641e15, 0x6fc18dae, 0x8f3d9a52,
+    0x480e7d68, 0xf49c93c1, 0x31b3aa8b, 0xdcdb6851, 0x37058302, 0xda272462, 0x7c7e5dee, 0x1a7f282a,
+    0x97570009, 0x48b9fee9, 0x474966aa, 0x70f7c6dd, 0x97066f39, 0xcb20fdab, 0x57fbff5a, 0x662d0982,
+    0x7b1b9cf3, 0xb4b3c613, 0xdd9c96c2, 0x284e9622, 0xf344f64b, 0x1c6e1e22, 0x4e5600e3, 0x367f4c2e,
+    0x7700f746, 0x2160d24e, 0x087ff06c, 0x24619e1b, 0x0a20ce10, 0x28925515, 0x3de626cf, 0x179e062f,
+    0x3a326285, 0xa3e3db2d, 0x50b2ab88, 0x7c85745e, 0x030c72da, 0xba3f26f2, 0xadd31774, 0xce1232ce,
+    0xf41e6747, 0xb5b36d85, 0x20ab2fa6, 0x8ec18816, 0x6be5591d, 0xde3a53aa, 0x06c91467, 0x07cc688b,
+    0x4fa9242a, 0x4e4c7c86, 0x6da462dc, 0x7a43ce0b, 0x5fba1bfd, 0x5d61a59e, 0x6823e408, 0xe873730f,
+    0x134d18f5, 0x1c69c9fe, 0xc12d3a79, 0xc4da811e, 0x3f73f6fd, 0xd4e31371, 0x8bb5e039, 0x02fe1e36,
+    0xd2ce0f76, 0xf4bbf34d, 0x0e85988e, 0xab6e26b9, 0xe0182cba, 0xa7158408, 0x7a5c1d80, 0x42c2c6f9,
+    0x41538491, 0x80f7c0e5, 0x88268f73, 0x0d86a3ff, 0x2b7c0851, 0x494ef272, 0x92fc140d, 0x7c6acf0d,
+    0x7e5bde6b, 0xbe8e7fa7, 0x33944de4, 0x3cd35243, 0x38dc4d4d, 0x677c6d1a, 0xe92099ca, 0xd13c1383,
+    0x8a992dd6, 0x769c8fda, 0x28d52987, 0xb9d0fcaa, 0xeec0bfb8, 0x8f666ce1, 0x7fe7dd9a, 0x91d07044,
+    0x36423672, 0x9e93eafa, 0x84f947d4, 0xc0205849, 0x8b85e7f1, 0x1cd78b78, 0x1dd9c4ec, 0x0779d509,
+    0xadcd98ab, 0x97fcfdd4, 0xbd106b90, 0xc8d1b1d8, 0x220b88a5, 0x45de563b, 0xa0407b1d, 0x59f150e6,
+    0x492c0dbc, 0xd1c45e2d, 0x6575889e, 0x3b5e58f3, 0x48192aea, 0x7570dbf5, 0xd364591a, 0x687dafc0,
+    0x2d14f448, 0x4e442642, 0xdebebaf3, 0x24b348ca, 0x6c8816ec, 0x08b8c859, 0x6cfde039, 0xd8478e09,
+    0x24bfaaf4, 0x942ea094, 0xe16dcd43, 0x3e06f020, 0x98db9e44, 0x1a74a9b0, 0xc755468c, 0x2a46c322,
+    0xccc13d3b, 0x3cc8001d, 0x84386791, 0xf770d6b0, 0xcef7a334, 0xbaa7e33c, 0x3fda5a5c, 0x37c54a9f,
+    0xc1b8c50e, 0x2e3816e3, 0xa07657cf, 0x8f0bbc41, 0x758de777, 0xbbe08083, 0xab8ce702, 0x92ee6640,
+    0x5bd1171f, 0x8989e3e5, 0x5d3e9bd5, 0x1458f0fc, 0xde4af203, 0x6746e653, 0x540824be, 0x8ccdc3a2,
+    0x6c67e7ca, 0x416551de, 0xbc4e0967, 0x5468ab88, 0x52973b6e, 0xdcea9235, 0x9775bcb8, 0x31f8538f,
+    0xa7efbb03, 0xd3057a52, 0x2fc15b38, 0xa6ef05e0, 0x7f8e06e7, 0xb9743720, 0xe658ea07, 0x96d17526,
+    0x13d2684f, 0x765df0b6, 0xa7b4230a, 0x9b436057, 0x216436a2, 0x01e15ea0, 0xa680ef82, 0x79417038,
+    0x1b2786bd, 0xcfc8a696, 0x6c8b746e, 0x4a5f693d, 0x4fe7e9f8, 0x4f9bbde1, 0xacf5447d, 0x52c637ef,
+    0xe71f3b4c, 0x501aa248, 0xb9f13860, 0x02bac0fc, 0xb9635022, 0xd1808f75, 0x9fb79fdc, 0xf15eb94f,
+    0xb8c38aa9, 0x11c7a8a9, 0x45a883d3, 0x28d691cd, 0xea61b953, 0x8a88361b, 0xe470479c, 0x5bb208ed,
+    0xbe3b5d3c, 0x28e63b35, 0x4cd86856, 0xafe38493, 0xa8e2b76b, 0xc070d821, 0xf2b90186, 0xbc3ac1f0,
+    0xec1e1611, 0x978b94d5, 0x2e0b9b43, 0x7ab4192e, 0x9d492b4c, 0x86c30ec2, 0x4e17e122, 0x6e04a6cd,
+    0x2f04e518, 0xd5db3b84, 0x4ce42c18, 0x207ea5c9, 0x6a3bc274, 0xa68b7208, 0xa551ba45, 0x8695639c,
+    0xeb5e1bd1, 0xfa179a69, 0xf568e502, 0x88f1a08c, 0xcf72a8dd, 0xb9bb7ccb, 0xb939e814, 0xbf5c5a1c,
+    0xdddcf5a2, 0x4b668820, 0xb8c38508, 0xa356096b, 0x3d39f457, 0x2e4043e2, 0x3eb8496d, 0xe930b36c,
+    0xb5159d91, 0xc3244ca0, 0x608d0cac, 0xc84732d3, 0x35c1b596, 0x8f75035b, 0x2aba8e81, 0x592c7e70,
+    0x1f4d35fc, 0x02a4b0e5, 0xb5c26237, 0xa8977c65, 0x8bc3fa4d, 0x54d93ca1, 0x5ff9bb4f, 0x2e8d27b9,
+    0x9820de95, 0x30004503, 0xd8292400, 0x740d5a08, 0x26cd21d7, 0xcd37d8f4, 0x95285936, 0x9e08d9c8,
+    0xcdaed53d, 0xddf668ad, 0x0b4c6e3f, 0x517db7dd, 0x7191689b, 0xf94726ea, 0xfd630286, 0x57294202,
+    0x2417cd1a, 0xf3989eef, 0x326cdcac, 0x8d8ba5f0, 0x7a99739c, 0x56cde60b, 0xf2665d74, 0x344815b2,
+    0x97e01c8e, 0x90b90fd3, 0xc96db949, 0xb7c8d181, 0x3c291543, 0xc6ea0ad5, 0x4fe24c79, 0x639443a1,
+    0xde277845, 0xddd41900, 0x49c1f92a, 0x060b80f0, 0x10c98860, 0xa89106b6, 0x12a916d7, 0xa0c446de,
+    0x987dd1d6, 0x1601ed1d, 0xa115e102, 0x611c7587, 0x98700bee, 0x13bdb7e8, 0xec073d56, 0xc9f6d3a4,
+    0x0aba5754, 0x41a16688, 0xad7e4dc5, 0xdc58bfb8, 0xcceb4991, 0x2402d596, 0x56f96ed9, 0xce4a8f80,
+    0x9b3b267c, 0x18aa8b26, 0xf74f7895, 0xb03f72b9, 0xaac19cdb, 0xbd83a7a8, 0xc3d6366c, 0x34b28472,
+    0x16ca3326, 0xdef64b8b, 0x213cb6b0, 0xf680b851, 0xa04ba70b, 0xa5e95a37, 0x99e1fd92, 0x38dea23b,
+    0xb490f26b, 0xcc9331c1, 0x132a9861, 0x69739ee5, 0x5bab9e02, 0x4efb5b59, 0xe290e61a, 0xb543cbfb,
+    0xa6256e14, 0x55f76bc8, 0xc9061833, 0xa264eed2, 0x448c723e, 0xf59ef4ee, 0x3daee4b3, 0x2d358ace,
+    0x8d85b6b8, 0x012f1912, 0x03d00a8e, 0x13525a2c, 0xaf34abe7, 0x384b16c0, 0x5ca01548, 0x875c712c,
+    0xa7e26763, 0x0d298751, 0x04fda0ba, 0x32ca4089, 0xd30c8070, 0x88614486, 0xaa67f026, 0x26f70ed7,
+    0xb1691c9f, 0xd78333c5, 0x91a43451, 0x6f3c4660, 0x280ef92d, 0x66dbd085, 0x9e862c9c, 0x4a0a2f1d,
+    0x86a07192, 0xe3b45819, 0x834d4b1e, 0x939a3b71, 0xf4a04661, 0x8adfd264, 0x00916b1c, 0xb6371b7d,
+    0xcc303736, 0x9b47b731, 0x8728d62e, 0xd0ed76fb, 0x75120104, 0xe37b6b89, 0x93dac7d1, 0x49a92ff8,
+    0xb15330a1, 0x81322946, 0xebf8aabc, 0x1839038b, 0x7428e16d, 0x6d4473b9, 0x8904ffc3, 0x30428e0f,
+    0xc6459f82, 0x2abaaa35, 0xec55d7eb, 0x3c5b5574, 0x8f89f36a, 0xe0f7f745, 0x90e99252, 0xb9561895,
+    0x8a73ac4b, 0x31dbd0c8, 0xfc8af2d6, 0xc620be7a, 0x1804d221, 0x6cb6d682, 0x143633b7, 0x3d8a52ca,
+    0xa50c158e, 0x6ad1540a, 0x3fddf6aa, 0xc66c134b, 0xafc7e59c, 0x5c41f10e, 0xcaeeafd5, 0x6b0bace6,
+    0x6b957a15, 0x9fd06684, 0xfe9adff4, 0xdd1d0855, 0x9f0bf4c1, 0x84aa96e3, 0x5cae513f, 0x02f109aa,
+    0x62e99f1f, 0x9a685cb2, 0xec652f81, 0x7865ccaf, 0x275bbef5, 0x0f168c0d, 0x20724cf9, 0xf263ad65,
+    0xc6314ba3, 0x9802ca90, 0xf1af8ea1, 0xbcf9c244, 0x3fcc2157, 0xd3774611, 0xe23786ac, 0x1b0e5211,
+    0x386216e6, 0x88182a73, 0x7a5aab49, 0xc67db8b8, 0xa7dd2aa4, 0x0731a84b, 0xcad971e1, 0xe069ec6e,
+    0x59676486, 0x4b3d9175, 0x729b3f77, 0xb72f3ca3, 0x8d1b2b55, 0x196a7921, 0x51ce33ad, 0xca1828e4,
+    0x79342503, 0x48cab01b, 0xaeedf7bc, 0xf96abc7e, 0x7f54efa9, 0x24be714a, 0xa0871d91, 0xefea082a,
+    0x88ed3e43, 0x0c85218c, 0xe1f8d3cb, 0x677155fa, 0x4c16ef8e, 0xccb97820, 0x1793102c, 0xb71c6a44,
+    0xe36cf104, 0x721a1df5, 0x08cb78b7, 0xb72e02fa, 0x080d535f, 0x8c79757f, 0x5f45e91d, 0x3b714e8a,
+    0x41ceeeff, 0x70ca8f14, 0x314fb596, 0x74453b50, 0x5543f76e, 0x4869ede9, 0xbd190f34, 0x5045ef29,
+    0x051ba68f, 0xb60c213c, 0x21a3fb28, 0xe909550b, 0x0d397c89, 0x5a31ac69, 0x29146611, 0xbe6b316b,
+    0xb58ce978, 0x4ef16efa, 0xf6d4a353, 0xdc081834, 0x4e15e3e0, 0xd4868816, 0xf385f38b, 0x64d26783,
+    0xc958215c, 0x27f43a2a, 0x272059e8, 0xbb12bae4, 0x97568cfb, 0x42c02767, 0xda801df7, 0xa4198788,
+    0xe3538caf, 0x790f4bdb, 0x6b68fa9d, 0xe79780b2, 0xa2bbd251, 0x439e1988, 0xe4bf5f39, 0x0e99f93d,
+    0xd442ec7f, 0x9210beb2, 0x16404a0f, 0x12e29146, 0xdac0858c, 0x09b81545, 0x8d472702, 0x6f3252e5,
+    0x57179655, 0x1c00f6b9, 0x1c6129e0, 0xa218ef11, 0x440dda77, 0xdf90dba1, 0x2fb7b7b4, 0x4effbfca,
+    0xf7fc974b, 0x4ce9d572, 0x7a2ae3a2, 0x7da06e5e, 0x4ef9ccaa, 0x83e8f136, 0x8d7353d1, 0xdd8002ec,
+    0x14330922, 0x1101f6a4, 0x2bd7b5d6, 0x1bfc8ca5, 0x1733fd68, 0x3a6da1c9, 0x2f330cfd, 0xeb983030,
+    0xbbef68c7, 0x000d6c7b, 0x838a1400, 0x237c2159, 0x316b388d, 0xcb2dc631, 0x7269836c, 0x064a33e5,
+    0x510ce101, 0xed0435ea, 0xf6fcefa8, 0x8fd5fd82, 0xdbbd83bc, 0x7685e99d, 0x85494611, 0x3e8874ad,
+    0x493a9c60, 0xf461c2c2, 0xd91a8511, 0x6beb85d8, 0x02de41cb, 0xc39bfb3e, 0xdec0edbf, 0x1513e015,
+    0xc6385213, 0xe520a9ea, 0xe89323e1, 0xdf4b95b1, 0x97963900, 0xc768b6f8, 0x44c6e40e, 0xf37ea411,
+    0x15af0a5e, 0xbfb78eea, 0xe556a8ae, 0x3b5b1fab, 0xd9d7f9ad, 0x92fe79cb, 0x79ebdce8, 0xa2e4cf18,
+    0x56d15ae6, 0x19b6452e, 0x727750a4, 0x5165da7b, 0x9269db84, 0x2e8fc3d7, 0x6cfa2c85, 0x0ae78262,
+    0x62593ab3, 0xb20c6bea, 0x1c800d73, 0xd377f411, 0x1bd65088, 0xef26a75f, 0x4395673d, 0x2912df02,
+    0x7787ec74, 0xce28e6a1, 0x2af1ad92, 0x19e2e14e, 0x96ed1a01, 0xab747773, 0x1eb23ef5, 0x208f94a7,
+    0x32622c3a, 0xb3de427e, 0x9a4d0166, 0xdfda9f07, 0x9e39a867, 0xea294776, 0xf0821397, 0x826c40ba,
+    0x113fd3d3, 0xdbd73735, 0xd1fc0ad0, 0x4a6fd1b8, 0xe8d058a3, 0xee82d362, 0x49bd20d3, 0x1c8eec21,
+    0xaa046001, 0x6672b29a, 0x3c0385a5, 0x9e8e9200, 0xdb9c76ce, 0xfee6ccce, 0x85fbff14, 0x72210adb,
+    0xb2c86f04, 0x0454dcc9, 0x645c3e2b, 0x532ea758, 0xe8252046, 0x34b12448, 0x0c572322, 0x0fe983c8,
+    0x6f9dac70, 0x059ce6c3, 0x2bbcfe78, 0x76abdd48, 0x7b94758d, 0x78c2ae4b, 0x6b5e6a78, 0x01cc507a,
+    0x58199975, 0x693c0190, 0xf8f8ed5d, 0x387057e5, 0x6742d5f2, 0xbad7a9f1, 0x2e9dcd19, 0x67ffc006,
+    0x3da5f1a7, 0x11b00320, 0x13d3a538, 0xc08cbfe5, 0xa417a0fa, 0x752e3179, 0x199e571c, 0xbdc82718,
+    0xc4f56921, 0x567cda86, 0xaca2b3e0, 0x14d541bd, 0xc9c98dbd, 0xcce0c065, 0x0abddc39, 0x3c7ba2f0,
+    0x2437e493, 0x05224b4f, 0x2b63eb2d, 0xa2199872, 0xedb6f166, 0x8d92f37b, 0x011683b1, 0xf0d75a48,
+    0xbdab8e71, 0x656e5ae3, 0x6f11818c, 0x2f5a270a, 0xfb812d98, 0x36f9123b, 0xace181e4, 0xdc6dac51,
+    0x9224afb5, 0xceb6df91, 0x67533719, 0xb40f93a0, 0x13ef90bd, 0x30782a4b, 0xfe574aeb, 0xb8586e02,
+    0xe4e8aa83, 0x71d5013f, 0xd22f9299, 0x2fba4f18, 0x5a7b7a91, 0xf72951ca, 0x6c53b35f, 0x69730d34,
+    0xa6279796, 0x0b53c02c, 0xd0f5ce78, 0x1fa349c1, 0x0b7ce4c0, 0x9219280f, 0xc0a96cee, 0xaec3ca47,
+    0x0daae630, 0x9b1adc39, 0xf319ec59, 0x2ceafa53, 0xb3f009a0, 0x587bf337, 0x0956ca74, 0x80ebec34,
+    0xf9e0f25f, 0x92aabb90, 0x523b7454, 0x73d4216a, 0xea6d615d, 0xb77e37f1, 0x26c9e747, 0x8bdc8e39,
+    0x179cf995, 0xe7fc0f0b, 0x5f53dbaa, 0x49320ed5, 0x271c013d, 0x11b4b70d, 0x2e4e66b5, 0x514a772b,
+    0xdae2d00d, 0x2acd6f5f, 0xa5e15db3, 0xafbd6268, 0xa2e03911, 0xc1e77730, 0x176b2bc9, 0x09f05a32,
+    0x83757a4e, 0x61e44dd7, 0x8b6d95ac, 0x8a50f051, 0xa935b1ae, 0x4e4729f7, 0xef2ed4a1, 0x1314d726,
+    0x2a8ba031, 0x3fb70c51, 0xc9f7b349, 0x4bb648f8, 0xe1c557a1, 0xe6e68a56, 0xf36d5480, 0xc9fc26f1,
+    0x33ce9c29, 0xc926be38, 0x3aa99e92, 0xa695bcc2, 0x758bc83a, 0xbb252a5f, 0x9e7f716d, 0xe90853ce,
+    0x9c19f390, 0x3b1efb2c, 0x091fa513, 0xdb63a78d, 0x78f5da88, 0x80249fa4, 0x40c1c374, 0x80aad8ce,
+    0x3c1333ce, 0x3e6c9478, 0xdbd51c1c, 0x5a1752bb, 0xb20c55c6, 0xe7e13dca, 0xa3e848d9, 0x0f5eb46f,
+    0x1cb811df, 0x4201ade5, 0x0aec18a1, 0xd09fa260, 0x3f3bc750, 0xd45561d6, 0x9fd5083d, 0xcdab3be2,
+    0x1fe1914e, 0xb8c30200, 0xdad2242d, 0x60423183, 0x3fa1e59e, 0xc59a1b8c, 0xe5cd935f, 0x17a135c4,
+    0xef708898, 0xcb94e6de, 0x9014a846, 0x5c466942, 0x6b05d936, 0x757e4dd8, 0xb8c7c29c, 0x32186b6c,
+    0xa6d92261, 0x216d4b2c, 0xc9aa1653, 0x94e71553, 0xb0d73b6e, 0x46334802, 0x6f698adf, 0x9d5b6323,
+    0xae6d1afc, 0x4b96687c, 0x7e4c733c, 0x83e7663b, 0x29c7619f, 0x15a7b9e9, 0x4d008f17, 0x36ba62d1,
+    0x6df27291, 0x71671eeb, 0x64f9e0cb, 0xad5ef864, 0x847fc286, 0xe291ddea, 0x99347cac, 0xc20e3f61,
+    0x00000000,
+    0xd187a62e, 0xe49537f7, 0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43,
+    0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000004\
+                          63168356949264781694283940034751631413079938662562256157830336031652518559744 */
+  { 0x00000000,
+    0xf45d3a1c, 0x6aff425c, 0x11dad505, 0xf96e4cb1, 0x6dc31695, 0x5f072b85, 0x8ac64f7d, 0x9623ab8f,
+    0x810d7b7a, 0x2ed92314, 0x161fd58f, 0xf6247d6c, 0xd746e25f, 0x752f1eb2, 0x98a73397, 0x550ff05a,
+    0xee4cea5f, 0x343bed12, 0x805ce0d2, 0x8462d296, 0x901176da, 0x3f28385c, 0x61a1a4a7, 0xb0d201d1,
+    0x4a90b949, 0x810e7e91, 0x069b6f0e, 0xb9b17b06, 0x4abbe170, 0x3527014e, 0x58d67ef2, 0x3475c698,
+    0x07047160, 0xb69a402b, 0x6e69aabd, 0x63aa8d64, 0xf9574aaf, 0xef76d408, 0x5e563607, 0xadf7047f,
+    0x6001837d, 0x88a55260, 0x1c3243fe, 0x9d8cec87, 0x7f7dbea2, 0x0b7371d0, 0xe3209297, 0xbcf9e8bf,
+    0xc68c4d2f, 0x27f45a11, 0x691be8b0, 0x341bffe7, 0x464c48a5, 0xa74d6df9, 0x0a5ed186, 0xfd9f68b3,
+    0xde1f9f70, 0xa6b7e25a, 0x02a9f840, 0x8611b262, 0xad4324b6, 0x4df3fb50, 0xfa2b9a51, 0x9fc79616,
+    0x13297536, 0x3ece2696, 0xe7dcfe22, 0x9a20d195, 0xb27d2e06, 0xf8b4ad87, 0x710e4298, 0x688fa6ac,
+    0x5209eaaf, 0x58d68cc3, 0xae5491d9, 0x08b00605, 0x457257af, 0x48849026, 0x07323a67, 0x892fa867,
+    0xe3fecb61, 0xd5de8906, 0x1326ed77, 0x2647b408, 0x76a6abf6, 0xd7bb01dd, 0x9c3c87bb, 0x4768cb2c,
+    0x342043cc, 0x957660c1, 0x02a0368b, 0x13e7deda, 0x2e842ebb, 0xa5e64b58, 0xb6e7f383, 0x1d08f359,
+    0x1d760e3e, 0xfa70e324, 0xeabbd351, 0xcf3d37ef, 0x618608c7, 0xab63fd6c, 0x6c13ebbd, 0x888f849e,
+    0xc416b2b0, 0xda9e10ff, 0x0bebb3a0, 0xa3c88d39, 0x2693342a, 0x798e3276, 0x001aaba9, 0x8af14e7b,
+    0xf2e479c0, 0xad7e7ade, 0x90b0be0a, 0x3a26a4c2, 0x91055cfe, 0x1e3285ff, 0x6bb0bbeb, 0x788c2493,
+    0x9b558138, 0x690887fc, 0x0299916d, 0xb072bdd3, 0xfcf954af, 0x896a467c, 0x12d2193f, 0x5e10add3,
+    0x9c66484b, 0xbe36c7a1, 0x99b67f0f, 0x90a518a3, 0x8644603c, 0x8f2a960d, 0xd0267325, 0x5a0eec26,
+    0xb00bf822, 0xbdef060b, 0xbda67344, 0x93582aff, 0x72f66bc4, 0x2238cef6, 0xdb467068, 0x201b35a3,
+    0x0e3e189b, 0x6d208e84, 0xd979c863, 0x1db9dfe9, 0x79de3584, 0x4c99261b, 0x6aec215d, 0xb37418f0,
+    0x2e30e192, 0x1b1d8e45, 0xae2c9ea5, 0x9c0b060c, 0xf880eb74, 0x2d6cd823, 0x88849e6a, 0x0062d3c9,
+    0x11a3fd87, 0x1fa9b853, 0x191d0de0, 0x296ab3a1, 0x406b45d5, 0x10d68741, 0x05ddd5c2, 0x1614baf7,
+    0xe6f9f33b, 0x16a4f673, 0x27b401f8, 0x80092334, 0x50840b3e, 0x0292f5a9, 0xe42817b3, 0x8a7913c9,
+    0x0ae67d35, 0xd6a1abc1, 0xb513f408, 0x03d0a981, 0x2e2bf00a, 0x27e34d7a, 0x2aaaea35, 0xeb87b471,
+    0x60747220, 0x8286fc45, 0xaf1fe10c, 0xdd77eaa6, 0x29a027a5, 0xf42a6ea2, 0xf436f46a, 0x1b027398,
+    0xde57ad40, 0x7e129399, 0xb98fd4cf, 0x50fd1b97, 0x13eb6195, 0x0b7fd359, 0x37323483, 0xd038196c,
+    0x7dcaf357, 0xb0fc211f, 0xfbe038b9, 0xf503d5a8, 0x754a5920, 0x744b3063, 0xf8295eb2, 0x687e0314,
+    0x03653555, 0x944896f6, 0xfe03a23e, 0x9cbdf0ee, 0x3a29b273, 0x169708c7, 0x86c27665, 0x3485fb25,
+    0x1e3b5236, 0x860b71c3, 0xecc8a8de, 0x751d3c94, 0x681e36a7, 0xade5bd73, 0x6b5d5c5a, 0xf54374fa,
+    0x3736d46c, 0x7bfe0a9e, 0xcf670833, 0xc1732e6a, 0xb5166fea, 0xf48c8146, 0x3debf829, 0x7b34f1d8,
+    0x9ff7bc44, 0xa1ccbfcc, 0x013a4494, 0x8999c23f, 0xd1410197, 0x31ef0149, 0xa6b4dd6d, 0x59426618,
+    0x1b39ece5, 0x91c82879, 0xd539e586, 0x59f06c1f, 0xcc856965, 0xe21bd75b, 0xbeff3253, 0x448b939d,
+    0x651488fe, 0x363b51e5, 0x70d536a0, 0x3465a274, 0x65f1cd29, 0xeac66487, 0xc41ef54b, 0x29967a77,
+    0xaa7e71ee, 0x5cf35f8c, 0x9b141303, 0x3ce3bfc4, 0x4fed0bcb, 0x258e5353, 0x4bc87fe2, 0x0b74c93f,
+    0xa5025ff4, 0x8c6653b8, 0xb1e69534, 0x59e029cb, 0xb37dd86a, 0xca2da4bf, 0x414c112f, 0x57b61856,
+    0x07d77be8, 0x9e7b0ca2, 0xb911367c, 0xcbb84fe1, 0x2463b964, 0x046c3703, 0x7c46342c, 0x53fa3de6,
+    0xa3002243, 0x3e3d73d4, 0xab46e924, 0xef20cb89, 0x595b2611, 0x35ada9ca, 0x78d7774a, 0x77bcffdc,
+    0xe308e329, 0x2d9f0958, 0x0ca9eeb6, 0x6a5583f7, 0x51a144c3, 0x8653c093, 0x9423a475, 0x0c428479,
+    0x98a8a19e, 0xe33b4ff2, 0xbb7d9c33, 0xcf988fe5, 0x0962e907, 0x06bfe0ea, 0x165490db, 0x2f13ea17,
+    0xbdf1bfe6, 0xb124ad25, 0x89b5a448, 0xfc5909f8, 0x97b73455, 0xcd9e978f, 0x8a11d851, 0x3bcb1772,
+    0xd84fc795, 0xd1de9e2d, 0x31c467e3, 0xe7342903, 0xce6ef791, 0xacbf4f6a, 0x68c64270, 0xebe9387e,
+    0xd9861e33, 0x72db872f, 0x6e64396b, 0x7b91fe9a, 0xcca5084e, 0x6c0f410d, 0x83f320bf, 0xcb49997a,
+    0x04479107, 0x8e0d7fb0, 0x2b5afaae, 0x5c282e57, 0xd79a67ea, 0x53d56ae7, 0xa79a960a, 0xf3973abb,
+    0x5c6c610f, 0x519709e8, 0x903feb6c, 0x7b75d4d7, 0xe6688b1d, 0x41647633, 0x1a3ac222, 0xde74c0dc,
+    0xcd99ed6c, 0x6c395aec, 0x7df8c05d, 0x170e55b0, 0xd2fbf5ae, 0x30421610, 0x61cd03d3, 0x5af47ce5,
+    0xef81a238, 0x4be60905, 0x49fef44a, 0xaf2f2bd3, 0x13c7fa67, 0x8b315003, 0x4c3966d1, 0xcef5ce4d,
+    0x15f010a7, 0x94ad0894, 0x68c3da09, 0xbbcda00d, 0xf04e8846, 0x69f73afa, 0x1f389494, 0x035998bf,
+    0xd223a764, 0xf752ac3f, 0xaef5287a, 0x92ee4197, 0xb457aed1, 0x071b57b1, 0xd7259111, 0xed2fb542,
+    0x913ff74d, 0x03e119a4, 0x7f19df7b, 0xcc0b2e32, 0x2b9692b9, 0xf7bd7f2a, 0x31ea3cb9, 0x65f444b6,
+    0x7982f065, 0x28d6b679, 0xd1b33cd8, 0x652ff6e9, 0x9514aabb, 0xe5ac2ec9, 0x1e30fad7, 0xf86314eb,
+    0xa4631fb3, 0x749128b8, 0xea26149e, 0x163706cb, 0x781cc86d, 0xf04d9f38, 0xf20ba16c, 0x893e388a,
+    0x257c735e, 0x571e2e6e, 0x4cccb2b2, 0xcf3679b9, 0x8b873d57, 0x878ba24a, 0x9e023e68, 0xd895616e,
+    0x9df4e08b, 0x4101f08a, 0xea7936cc, 0x4bfc1445, 0x3f6332b2, 0xf51debb9, 0x2a7b341d, 0xf3e1980a,
+    0x2267ecd9, 0xb71eace0, 0xf8fd8612, 0x03815bc3, 0x3bb15eb4, 0xc38e12a9, 0x8fb7fa6b, 0x906aa230,
+    0x49858b8d, 0x3426cc5f, 0x87d7d44d, 0x065e2e93, 0xbfb36151, 0xa24e7cf6, 0x03a9c512, 0xd5144b06,
+    0x88530275, 0x4917f754, 0x1686bf1e, 0x0479aca8, 0x3e2fa5c6, 0xaef75fa5, 0x3f4f79a0, 0xdd1c51bc,
+    0x0907455f, 0x3eba6cb6, 0xc9c38f8c, 0x345a9c42, 0xf80db379, 0x4e8ded1e, 0xb16488f2, 0xccdb11dc,
+    0xcfce4b2f, 0x6e8b5f32, 0x10d4714f, 0xabec3efa, 0x8bd62ad4, 0x61c515d1, 0x160ab434, 0xd83eafa7,
+    0x2e794c6a, 0x18457cde, 0x4e54e9b6, 0x0d554429, 0x889931c3, 0x97e44ca8, 0xe16f76d5, 0x0c6bbc80,
+    0xee7f0825, 0x58087c36, 0x62bd7268, 0x7ed6e3c6, 0xe553ee20, 0xd26c8a37, 0xd2fb985d, 0x5297c872,
+    0xaa4ce1be, 0x13833b5c, 0x8497388d, 0xe7e9bf4b, 0xe6668856, 0xc2b99968, 0x7f1f9502, 0xfb6ab72a,
+    0x23fa9b39, 0xb9806073, 0x5167ce7a, 0x8cb35e76, 0xa95203f3, 0xbb35d955, 0x5c48a1f4, 0x62a980c5,
+    0xe5f9cdb3, 0x6631391c, 0x0283bc3c, 0xfa00564c, 0x7608c235, 0xed64de96, 0xaa0f5345, 0x467bce41,
+    0xfbad5e02, 0x5dd629d9, 0x7e7351a0, 0x0f40d44e, 0x278126a6, 0x738a5e5f, 0x368ef06c, 0x5d6c7d91,
+    0x8710e3e0, 0x33bc50c7, 0xabe2ecc6, 0x02c20bf5, 0x53e5eeb1, 0x8d3a180a, 0x5b4ea981, 0x032f6930,
+    0x354f0308, 0x2b9c7ce9, 0x9ad452b3, 0x1c8cc365, 0x23a3beea, 0x0d93fbb9, 0xb1128214, 0xbc7fe4c2,
+    0xff87471c, 0xd5d50dda, 0xff4d9e10, 0xf9004586, 0xb88d675d, 0x2ee08217, 0xba2f441e, 0x33dde7f0,
+    0x022a1261, 0xf1e2e0da, 0x2610fd8a, 0xa6a476cb, 0xa8da3c34, 0xcd737bd5, 0xbe1b135b, 0xdf666fa8,
+    0x3cca2508, 0xf98e5fcc, 0x32a94078, 0x72df32cd, 0x16a73195, 0x6cf3a314, 0xdc971bf6, 0x4c6da21f,
+    0xdec1461c, 0x35298bee, 0x801a10e9, 0x98d39b5e, 0x145a8b24, 0x62f7962e, 0x71cf51e7, 0xe37b246c,
+    0xc378d954, 0x4ddf56a5, 0x2a94154b, 0x2b2cf61e, 0x5e3d0d6e, 0x9e4bc228, 0x3a843739, 0xf50d036e,
+    0x75a6f29d, 0xf29035aa, 0xef8ce9a7, 0x206ee5a1, 0xa5528ca9, 0x7a4e1871, 0x2ca45b5c, 0x076c7263,
+    0xf7a636ec, 0xe63a7dad, 0xcee9f4cd, 0xf3c76b7e, 0x9ab578e4, 0x15b0b4d2, 0xdcde0fbb, 0xa8282a43,
+    0x65003893, 0xd5340f0e, 0x2f198d2d, 0xb4e0aeb4, 0xdaac8f00, 0xb7e372a2, 0xaad97849, 0x62e82283,
+    0x0750db8a, 0xc53a46f3, 0xf7d706c6, 0xa051cc65, 0x9db9c73b, 0x07d96e6a, 0xeec8e0b7, 0xd64b703a,
+    0xd6107e52, 0xd998fa66, 0x9fd23093, 0xa25431b4, 0xc39afe32, 0xa5003dae, 0x0e3817fa, 0x9e506c05,
+    0x4d731907, 0xfb700b57, 0xda4709eb, 0xea00d812, 0x2e2634dd, 0x75021a0b, 0x92d42b2e, 0xe3128e34,
+    0x4cfd7fec, 0x2142afa5, 0x069aed8a, 0x3d3c7ba4, 0x281864df, 0x259a174c, 0xd20b31e9, 0x626c977c,
+    0xc227cea6, 0x169c7bb0, 0x5dc3309f, 0x600e619b, 0xd7a42554, 0xb8a700b2, 0x2a765005, 0x18219a4b,
+    0x8bab80bb, 0xc53e5fa4, 0x3fe4f4b3, 0x20c8f6c7, 0xf8d0120d, 0x120bd956, 0xa7a84f3f, 0x4680bae4,
+    0x7b42fde4, 0xd13e134f, 0xc25fbc21, 0xa9db246c, 0xec486245, 0x07d13854, 0xc4c564d5, 0xc4404555,
+    0xf1b8004a, 0x480266ae, 0xc1ff2c17, 0x824ec5c2, 0x53d92a13, 0xadf8efa6, 0x044ae1f5, 0xd3fec4aa,
+    0x17edecc1, 0x480164fd, 0xb3937638, 0x2392e4ec, 0xbeec533a, 0xde35df9f, 0x71750f8b, 0x85f302d2,
+    0x85ab0c28, 0xe6c4ae0a, 0x9be5d9d5, 0xd5a1246e, 0x28541dde, 0xa518475b, 0x158dfe81, 0x9ba5c846,
+    0x6ee23959, 0xc3b18ea0, 0x0821f7cc, 0xa426eded, 0x99022c99, 0xe9f3ebba, 0x9e0933dd, 0xdd15f1b4,
+    0x5ed8a1d1, 0xb6c8d9d1, 0x3cd9abee, 0x273e4586, 0x327b616a, 0xf8e22ed3, 0x6b1e95b6, 0xa32e46d3,
+    0x0c2dbde1, 0xce9d87a6, 0xd9aab9b4, 0x105c1d9d, 0x7d321f11, 0xf7ce6ff5, 0x6ab0e74e, 0x1bd715ec,
+    0x9292be01, 0x33b065cc, 0xbbf83445, 0x3be0798b, 0x3fd97cef, 0x28e8df70, 0x1c0a0986, 0x3269d70e,
+    0xe0bef204, 0x1bf443de, 0xcedf8d33, 0x98476998, 0x599856d1, 0x0e1537dc, 0x938eb2eb, 0x86d5ad5e,
+    0x7303fbdd, 0x74f2f4c3, 0xecb1e668, 0x092dc018, 0x87084f2b, 0x1f2c5591, 0xb44c580a, 0x85431534,
+    0xd81aaff5, 0x3c64143d, 0x394fa234, 0x11727896, 0x1bc33c9e, 0xeec4887c, 0xb1733995, 0xc88ee35b,
+    0xb4e4fdc7, 0x9a3660af, 0x390be50f, 0x9676d4ec, 0xe0daa598, 0x0c13bdcd, 0x7b74030d, 0x24d28eee,
+    0xfec837e6, 0x183924ca, 0x2c1b4763, 0x67416f30, 0x04b8550e, 0x3e085d9c, 0xb191b39b, 0x6a11579e,
+    0xdbae72dc, 0xc0a6c808, 0xcf775962, 0x2965e09a, 0xdce5c144, 0x03a2e8ec, 0xea5c56a8, 0x76625244,
+    0x93bbcf8c, 0x3cac769e, 0x0940ae0d, 0xf3a119f9, 0x490c82fa, 0x3f3eba8d, 0xb418e0e3, 0x7c8f59b2,
+    0x4e53b0ca, 0x0ad6418d, 0xea0f824c, 0x36b1629f, 0x663329b8, 0xc16daee5, 0xc58aecc2, 0x061b4a59,
+    0x7e6c40a2, 0xe35cd8fb, 0xd46f983e, 0xf1833d97, 0x5245611d, 0x4d9f2538, 0xec923318, 0x4ab5db50,
+    0x93dbc0ea, 0x54d48c2c, 0x90f04ae0, 0x5d811965, 0x08024fa0, 0xd9ed6dc4, 0x961c8f06, 0xb1b8bbb6,
+    0xc0799a4e, 0x18e37c8f, 0xa20149b0, 0xa267d222, 0x8cd961f3, 0x0dbc2c10, 0xd16df610, 0xfc25e400,
+    0x766b95f9, 0x9503c07e, 0x027ef77a, 0x93aa69f7, 0x4dee0e77, 0x27299ffb, 0xdf8099a5, 0xadca312c,
+    0xce9c3706, 0xf9d58a7f, 0x2b6380a2, 0x13583898, 0x72cb6056, 0x3b4fdc27, 0xde53e35a, 0x0feae5f8,
+    0x49931ae4, 0xb7e285c3, 0xbf0114ef, 0x85223812, 0x40bbfe74, 0xbc8738c1, 0xa9435d08, 0xd478a0d5,
+    0x342276cc, 0x74c81544, 0x83ef7be7, 0xbc6bb590, 0xb829bb22, 0x8955543d, 0xc9ce4fe7, 0xabc9a841,
+    0x72b9d8a9, 0xcada28f4, 0x502bdcaf, 0x9a1e6369, 0x894bcfe2, 0x7a6d6257, 0x4dff6a40, 0x95d3de70,
+    0x0148fa99, 0xbb98b17b, 0x93fcf92b, 0x185ce019, 0x21b5822c, 0x27fbe062, 0x6440a05a, 0x5bb091f1,
+    0xd9c5d0a3, 0x03ff502e, 0xb7d56c24, 0x44221f40, 0x56bb1c5c, 0xa09cf1ed, 0xdbeb9f47, 0xefc3cec9,
+    0x1baf82d2, 0x47b87899, 0xdd5096f1, 0x9caa40fc, 0xb691635c, 0x97b9ab9a, 0x01d2bf31, 0x2f402b54,
+    0xb8dcbb37, 0x3d9c6d69, 0xb74b30e9, 0xd0a18e20, 0x42666d12, 0x673ab845, 0x055c3b6d, 0xd940d21d,
+    0x78af3d71, 0x7a011091, 0xb2d1b9a9, 0xbd3708c0, 0xcf05e5b9, 0xbd627811, 0x7dbb1809, 0x92ec9180,
+    0x49826b47, 0x0b72a31f, 0xe569a330, 0xf254c5dd, 0x9ca74663, 0x5f2577d3, 0x52128742, 0x7ca2f23d,
+    0x6550bf4b, 0x3b9fd1ce, 0x70b9d283, 0x48b9f5f9, 0x3346a20a, 0x92f16fdd, 0xca5f16e6, 0xcaa5b4ca,
+    0xe970f1f6, 0x1b134aed, 0x8ef67e69, 0x75ce7504, 0x103c3b49, 0x8a608d8f, 0x0062ec2e, 0x185aa6fa,
+    0xd7dc1c6c, 0x20e1e8fa, 0xcb8f878b, 0x1ce53b2f, 0x65ffc6ea, 0x4fbf180c, 0xfdcf4d71, 0x987a506f,
+    0x24c31837, 0x907c6da9, 0xaaa0f439, 0x1ff14bc3, 0x7f987c03, 0xe6b311fd, 0x1a3bc6cf, 0x7d3b3e21,
+    0x1be6f6af, 0xc095cf86, 0x633999cf, 0x3a7f7f63, 0x0689b8f9, 0x113a6c9a, 0x9569ee39, 0xbaa7938c,
+    0x36204890, 0x17db1456, 0x7a427069, 0xa67da0f1, 0xbc334387, 0x470193a2, 0xdd614099, 0x74aeef4e,
+    0x1bbac212, 0x193ce06a, 0x7e7aee9d, 0x09ccb2ec, 0x82cb1452, 0x7eaf6bb0, 0xf46f1ebe, 0xc1434549,
+    0x99d5a147, 0xd3ceaddd, 0x4b604bab, 0x228d8db9, 0xff7a7a4c, 0x95d26c22, 0x6b1459ea, 0xf39ba398,
+    0x5fbf56bf, 0x01c47d35, 0x43fee9f1, 0x3e4a73df, 0x7c053c77, 0x1a51ca0e, 0xe762a8d8, 0x8e6c29e4,
+    0x0f6a838a, 0x30d23535, 0x3eb33f44, 0x6a16ebaf, 0x9287cced, 0x4c72ddc0, 0xd867ef58, 0xac9c2ac7,
+    0x3112d36f, 0x7ca2c383, 0xbc9c2cac, 0x1887a741, 0x8cd3fb72, 0x184c3a54, 0xc73583ba, 0x498f54f9,
+    0x176b362c, 0x021bc901, 0x1bd77d6a, 0xe93862d6, 0xc441f1bb, 0xa8bde311, 0xa060ec50, 0xcb5af727,
+    0x9aeb0589, 0xda3f2e02, 0xab203134, 0x4177adb9, 0xb3d0821e, 0x47ca31f6, 0xe12cd747, 0x81a8a64a,
+    0x8a3cf35a, 0x0ccd3c16, 0x5a53b882, 0x1638616f, 0xf35bd35c, 0x1b04bf47, 0x400c3f25, 0x9042b1bb,
+    0x7d2f3689, 0xb41b762d, 0x3b047527, 0x5336a898, 0xf01884f5, 0xdf311339, 0x2d999d13, 0x5675e7f6,
+    0xd800ad82, 0x0cf5c44d, 0x1ed9d6aa, 0x9fe2015d, 0x4c6507eb, 0xe505ddf2, 0x86e67059, 0x7c64a002,
+    0xb49e20dd, 0x2cf99903, 0x94f6fdb8, 0x986ebd41, 0x5618ce3a, 0x2d8f0321, 0x19743073, 0xdee2dc73,
+    0x00000000,
+    0xe8c3d316, 0x724a9bfb, 0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1,
+    0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000002\
+                          31584178474632390847141970017375815706539969331281128078915168015826259279872 */
+  { 0x00000000,
+    0x55a136b0, 0xa4a999c8, 0x2d507124, 0xfe0cf572, 0xa22b2048, 0xf710b4f2, 0x1c3855e5, 0x5e87d675,
+    0xb1334e1a, 0x41582730, 0x506b6340, 0xab099a4c, 0xa4efc0a6, 0x09e44ccb, 0x3fcfdb00, 0xaceeed24,
+    0x55a06ca8, 0x2d3dcda3, 0x7ee6de7e, 0x15473073, 0xbfcc3b4f, 0x935ce96b, 0xfdc5d5da, 0xf368e412,
+    0x677cc06b, 0x39d876c8, 0x2415119f, 0x690475a1, 0xee554632, 0x4d6709b6, 0xeec36f87, 0x4a436dcf,
+    0xeb971af0, 0x09057182, 0xdc97556d, 0xfdc642ef, 0x978f7fb1, 0x392e0a11, 0xc2d8a86b, 0xa4de248a,
+    0xb3d50269, 0xb04128f9, 0x08434621, 0x0f0d3a7c, 0xebfc1c2a, 0x8ef58f3d, 0xcad20dbd, 0xf82fd6c1,
+    0xb5d849f8, 0xba3ecf8b, 0xd3332259, 0x4ea1969d, 0xcfac23fb, 0xadce992e, 0xa26e676b, 0x27736ddc,
+    0x0a7de479, 0xae59e81e, 0x2ef00deb, 0x459e5f7a, 0x1b057d88, 0x65a20931, 0xee8f21a0, 0x13bb8764,
+    0x1e6b41da, 0xdcf2df66, 0xa3ce8d65, 0xcf799b91, 0xc405241b, 0x977aadb3, 0x42d7b899, 0x343628a9,
+    0xc18c1a04, 0xe3350b87, 0x997fdd67, 0xe97eda3e, 0xb36a9e4b, 0x1fc32211, 0xc715ef96, 0x9f851ea2,
+    0x07c79ad1, 0xed518c0e, 0x09050610, 0xe30048c2, 0xaa1e28e7, 0x7bffd2ca, 0x0526b5c0, 0x34f860cb,
+    0x86920469, 0xc5d0d2cd, 0x17f73ed2, 0x8ffdff2b, 0x8ec12892, 0x6e730f59, 0x031e0f18, 0xb718e0ab,
+    0x12ea69c4, 0x035c4423, 0x609919b9, 0x0d359c2d, 0xe8bac8d0, 0x869498e7, 0x6cd13bff, 0x2a23cce5,
+    0x40f1c13d, 0xda33c723, 0x1cf77b03, 0xef79d203, 0x017bc570, 0x2df232de, 0xea1b3107, 0xb585e060,
+    0xb3b38a17, 0xb27be111, 0x88b852a0, 0xe5cfe96d, 0xc00e3d05, 0x92bb3d85, 0x677015eb, 0xd0a6119a,
+    0x6c36e528, 0x47ac123b, 0xdc1525ba, 0x2b9fe554, 0x95b97e60, 0xee5554b7, 0x9c086175, 0x90642091,
+    0x6d17e527, 0x71e2d788, 0x9fd37dbb, 0x9d234d7c, 0x2eba1425, 0x6f470aac, 0x6345ef31, 0xb851b003,
+    0xdc02306a, 0x9e7556f2, 0xe7bf3593, 0x1372c8a0, 0xb860e97a, 0xe3141db0, 0x481f1905, 0xac89077c,
+    0x6b3a00cc, 0xafe467a0, 0x8c49deab, 0x55592cf7, 0x62fa1e4f, 0x8305b1c5, 0xd6127b32, 0xf11162a5,
+    0x27417b63, 0x72b5d48f, 0xffc24af8, 0x1e25b16b, 0x0be5f22a, 0xbd78b111, 0xd805f6da, 0xa315defe,
+    0xf90db40f, 0x560f8351, 0xe74f976c, 0x2db7d0d9, 0x33229f4b, 0x02d6dde6, 0x84b83eb5, 0xe529f8d2,
+    0x3efb62a9, 0xc76e37ec, 0xe5a4d4c5, 0xe11bbd2e, 0x4371d7d3, 0x4db78178, 0x97a53af4, 0x411610c1,
+    0x73c6e570, 0xab9b9145, 0x2990d1d7, 0xb936c2ca, 0xc6379352, 0x8bb36875, 0x7ebfa0f7, 0x5727fa79,
+    0x6fe5bb7f, 0xe32351f2, 0x12a9af8f, 0x440593e9, 0x53694818, 0x334c5b6c, 0x84661e73, 0x77aa53fb,
+    0xa050de25, 0x976c340a, 0xf309e246, 0xd806b78e, 0xed71e2d2, 0xbb8705e1, 0xb3731271, 0xe48191aa,
+    0xaba9f065, 0x74586236, 0x189efa7c, 0x056ebd95, 0x332839c2, 0xdb1e3581, 0x4509a93f, 0x4969fc56,
+    0xb0b3801f, 0x2ab3de6a, 0x07ef293a, 0xdc88acde, 0x2628e477, 0x0f879b76, 0x316a4ddd, 0x40024cf4,
+    0x469b58f1, 0xa412870f, 0xe40a971b, 0xf7e0c781, 0x6b2f3a03, 0x8875f6fa, 0x173aa6d0, 0xfb8398b8,
+    0x9c26091d, 0xc93c19fd, 0x855a3617, 0x872a165e, 0x331e3485, 0x812bec76, 0x46c8fb2f, 0xbafb31c0,
+    0x6809e3c3, 0x7b1de71b, 0x2d0e40d6, 0x539f0613, 0xd45a5f66, 0xc0c183d8, 0x00a741bf, 0x53dc269e,
+    0x55f1033f, 0xd4c607c8, 0x7bdc8caa, 0x98fe6566, 0x8bf893f9, 0x75412ee8, 0x6ea81f3b, 0x2360dbc8,
+    0xc737cc5c, 0xf18cb137, 0x8322ba4c, 0x44258897, 0x563076a8, 0xe21335dd, 0xcd8a88ee, 0x132683e9,
+    0x5d3b0414, 0xce1de054, 0x653d716d, 0xc1d16701, 0xc10b8196, 0x628b2505, 0x803a477e, 0x309725d5,
+    0xd7a8efff, 0x02e9e05e, 0xd604dbe7, 0xe9dfa281, 0xb70df079, 0xa50709ca, 0x1b5f62e6, 0x1fad49ee,
+    0xe3df98b8, 0xd286fca2, 0x0232aa2e, 0x010db589, 0x428f4e82, 0xbcb80f87, 0x44b9d193, 0xe65bca44,
+    0xd9d0d914, 0xe36ee5bb, 0x611f5060, 0x118145db, 0xb85405e1, 0x3732e826, 0x3b716b33, 0x4f28449b,
+    0xa76736c4, 0x6b0ca0ef, 0x88f9d651, 0xcf32ac62, 0xfd7335ea, 0x267f802f, 0x3fea2a9b, 0xdc321a3f,
+    0x691050a4, 0xf8e86f8a, 0x563a3ce7, 0xfabb8749, 0xbb7a054e, 0x9ea83aa2, 0x58cdc3c5, 0xe7c31ec9,
+    0x81f1051c, 0x869881a5, 0x4da46f99, 0x59892e97, 0xc1c62661, 0x2b5efd33, 0x0340542e, 0x87578c9d,
+    0x3c22e567, 0x2b7afeb8, 0xb33d0b6d, 0x67508e45, 0x9a096bc5, 0xa73f6e33, 0xede0c672, 0x55078925,
+    0x0879444d, 0xfb9f5540, 0xb7f948ab, 0x379c8be8, 0xfdba98b5, 0x42ffefa6, 0xe38b82f7, 0x79018e8c,
+    0x29b5bb1f, 0xe3f72fdb, 0xdb93a5a7, 0xb5bd0ff9, 0x011d5874, 0x58a73327, 0x52daf263, 0x51b79b2a,
+    0x0ce4194d, 0x3e325345, 0x2042e6fc, 0xa0226459, 0xfd8b4efb, 0x3379f6b5, 0xde40172b, 0xe9c4a8c9,
+    0x28d8e7e8, 0xb53d8598, 0xf705af8c, 0x182311ce, 0x9e3a4cc8, 0xf79a1219, 0xe664d396, 0x103f22da,
+    0x03dd7da1, 0xe836c822, 0x07e85e7f, 0xb83ec6fb, 0x1f67ac87, 0x553ef5ef, 0x8474268f, 0x1ddadc99,
+    0xa96e7226, 0xc577dbb8, 0x7b08310a, 0xb9656ee6, 0xc37c8403, 0xe7805f12, 0x7877f6cf, 0x79e8a038,
+    0x463e03af, 0xad2ce7eb, 0x988a7c5f, 0x52b480b3, 0xa1885d20, 0xac6b60fc, 0xcf0c3dbd, 0x84351df9,
+    0xca048da1, 0x04867445, 0x09e28288, 0x4ca940c1, 0xb0ce4dad, 0xcf352249, 0x3b2e8cdf, 0xb674be9a,
+    0xa1d6bc03, 0xbe841514, 0xc596ce64, 0x6f3a2683, 0x6d34918d, 0x9b1a86da, 0x7a4d0e40, 0x8bb1ce60,
+    0xa3aeb7aa, 0x37d64703, 0xf23c3580, 0x1824b38d, 0xcd6221fc, 0x7450cb21, 0x25c97af9, 0x5b8e4170,
+    0x46dec26b, 0x960fbe47, 0x71e8a593, 0x8bc1da76, 0x89ee1598, 0x277c283e, 0x51d1fc0e, 0x41d0dffe,
+    0x0754de04, 0x16ca49ad, 0xa7987a03, 0x6f4d1cac, 0xcc2d44cb, 0xdf09b102, 0xdd58ff43, 0x2eb04403,
+    0x89edc481, 0x0203d106, 0xce514b59, 0xf6f4c783, 0x6644e777, 0xbf6cbde3, 0xd3a1ed0b, 0x6fe67ea2,
+    0x91d3317a, 0x78f64f6b, 0x28cda120, 0xe8a83944, 0x75284b6b, 0x0e60b563, 0xf86f0d42, 0x2dcb56da,
+    0xcb4df98e, 0x55d160e3, 0xcd0b4743, 0xb6ae151a, 0xde42729d, 0x47efc704, 0xa1b9d208, 0x8b05d253,
+    0xc45581eb, 0xc87255a8, 0xb37a633c, 0x1439556f, 0xfb8d6072, 0xec0ecbab, 0xdc26ad6a, 0x483b0058,
+    0x6e783b71, 0x33e557da, 0x4cd5e66d, 0x291659f4, 0x2339a2d0, 0x2f90eaa5, 0x15c4ff6e, 0x54cac880,
+    0x1881d9cc, 0x3000b8df, 0x301dcab5, 0x2c404bdb, 0xca853b11, 0x966a7699, 0xead65ec6, 0xb54fc416,
+    0x7f19054c, 0x791ae264, 0x21fba8ac, 0xbf3bca23, 0x3173be1a, 0x5bdccaf5, 0x2cdcc391, 0x2abcfa65,
+    0xaacf1ada, 0xf033e3c2, 0xd3f2b830, 0x6ee4d667, 0x2591d221, 0x3da77a55, 0xdc9c2960, 0xa2bb1181,
+    0xcd0db999, 0x0d853a7f, 0x49336f5e, 0x059e72bb, 0x96270e19, 0x01f984b2, 0x25442d88, 0x32ce588d,
+    0xefae4404, 0x1410066f, 0x3ecf8404, 0x6c6d9f44, 0x47632377, 0xc969f7f5, 0xffc23f55, 0x9d43c9d1,
+    0x71b7c92f, 0x18f80a90, 0x8f15360e, 0xd2c5378a, 0x7e65f749, 0xda1e44bd, 0x8ade5a36, 0xb0e6e5bb,
+    0x7a0e9d48, 0xf68e1a9a, 0xd300fbc3, 0x4dad5ed4, 0x9808a736, 0xf6390f73, 0xa134acff, 0xd0ee8d6a,
+    0x3b5b9ca9, 0x6a21a3e7, 0x93964300, 0xe659847c, 0x4b8f5303, 0x0e0ccadc, 0xdc151a7e, 0xb12e1f36,
+    0xf888304f, 0x871e4b12, 0xc0a28a38, 0xad568abf, 0xd5c4e591, 0x02f9be63, 0x8ebcc700, 0x22b80e76,
+    0x68119baf, 0x4a08759f, 0xba13baeb, 0x1b5a3557, 0x13f26313, 0x627ea53b, 0xdd61dfbe, 0x431471f0,
+    0xe1875fbd, 0xc49734d9, 0x6d5e2044, 0x077c0ba8, 0x7680ff7b, 0x62f178bb, 0x8caa4bda, 0xbaac1d61,
+    0x4b03db73, 0xe12af9bb, 0x7943597c, 0x67abd84f, 0xc39338d0, 0x17c416e8, 0x8a9f15cb, 0x3b7f67f5,
+    0x811068b4, 0x5fc419f4, 0xa33bd96f, 0xcb1a32e8, 0xcb6ea89a, 0x3be8182c, 0x7bd24679, 0xa4f1b1b7,
+    0xc86065f8, 0x024fce11, 0xfc185d0c, 0xcbf6598f, 0xe2e785b5, 0x20c3e463, 0xc6448ae4, 0xf631eea0,
+    0x563c005b, 0xd790159b, 0xb9ff47c9, 0x5dbcabf6, 0xa7e7c29a, 0xe867623b, 0x25af2354, 0x8aef2d16,
+    0x20681754, 0x1aac2479, 0xbfe0cfbe, 0xef4b102f, 0x2a43e634, 0xfe903495, 0x4ab9544f, 0xf3c1b279,
+    0xb7303bd3, 0x8f49f398, 0x9c8fe4e2, 0x86a23744, 0x5757f0d1, 0x1374d421, 0x19c2f8ed, 0x1aba10fa,
+    0x918490c3, 0x66c37838, 0x549a8586, 0x0137a87b, 0x5254201e, 0xf5c55598, 0x09bfc4f3, 0xa49ea101,
+    0x9ee704fb, 0x2ebeb2d3, 0xbcf0ee5a, 0xff4d7672, 0x45555ec3, 0x60e5b359, 0x7455e01e, 0xa5959937,
+    0x44387184, 0xda096f17, 0x3f21c141, 0xc783e9b9, 0x4f154887, 0xde7f68d3, 0xa03532f3, 0xfcb7bb42,
+    0x45ff4c72, 0x07ded136, 0x057cdcb9, 0xfe67810d, 0xcaddb20f, 0x55d10cd0, 0x53a3f714, 0x9480d8d2,
+    0xfd77c004, 0x681fa58a, 0xffa00977, 0x96803cd9, 0x6c605eb7, 0x4ce1ec59, 0x7d682cf9, 0x93f2902e,
+    0xdac7034c, 0x0db2c9dd, 0x33a2f4c3, 0x2358447c, 0x8be4ee0a, 0x3d85703e, 0xfc5beccb, 0x07d63026,
+    0x2f432ab1, 0xa4637a94, 0x69b8d9d6, 0x0da8f819, 0x869e8ba3, 0x39f4d9b4, 0xcfd5582e, 0x10eca434,
+    0x9e25c200, 0x808069b8, 0xa5c3e288, 0x6c67a95b, 0xfdb5ffd9, 0xf92b9d46, 0x8a58cc26, 0x0154c64f,
+    0x1467fd3b, 0x6e239573, 0x3192c3a9, 0x35385cd4, 0x7df0cd95, 0x96d6e742, 0x652e53c3, 0xf095c7a0,
+    0x95da4682, 0xf8ceeaaa, 0x81498ab3, 0x69e7cc2d, 0xe4c7c286, 0xd8d6a53f, 0xe909be15, 0xa90968a3,
+    0xccfa5a9d, 0x23624e3f, 0x25aa7cc8, 0xa4bfe642, 0x476ce31d, 0x969df53f, 0x332e878a, 0x54ab14df,
+    0x103b91c9, 0x11adcb36, 0xb8e18c80, 0xecea3675, 0x8ded89ff, 0xc553c3c7, 0x5fc09c74, 0xa28ba5b5,
+    0x5b6fe68a, 0x0f535486, 0xf7a42adc, 0x6587de1a, 0x4238696f, 0x184a2d5b, 0x0ee52e71, 0x9482e74d,
+    0xaf8aea96, 0xda868216, 0x0f954fdb, 0xe2d8d1ae, 0x27ff84dd, 0x21cecb74, 0x2315a411, 0x7c33d2dc,
+    0xde0b61d2, 0x3850f2b8, 0x78be7ce8, 0x88d3fd23, 0xac8b481d, 0x81c9f867, 0x1644ecb9, 0x20649a0d,
+    0x609c9bcd, 0x8abd6f0c, 0x1399c329, 0xc035d055, 0x9c43f23c, 0x09ea0508, 0x6c7628c4, 0xaed36a00,
+    0xf871589e, 0xbc8c6249, 0xb56d2818, 0xde6fb139, 0x0fb549a3, 0x0f279540, 0xe95fd738, 0xcb72595f,
+    0x9ecfe4a4, 0x3b075de9, 0x81bed70e, 0x2ad37e20, 0x555853c1, 0xd036cf5f, 0xdd39f539, 0x38968f55,
+    0x70ab8a7d, 0x0dd731ea, 0x01522893, 0x26f74ae8, 0x4023e9e4, 0x5a0c2840, 0xf834cf0e, 0xcdbf0f84,
+    0x6b1c668c, 0x2bd71956, 0x3e17196a, 0xb1f4ad00, 0x939fd516, 0x40846758, 0x66413b4d, 0x15ee16bb,
+    0x1e5aa08a, 0x1d09ed7f, 0x0a302d7e, 0x45dddfec, 0x37c6811a, 0x8cf0eba1, 0x4ec4151c, 0xa55254d4,
+    0x59e4fcd2, 0xf878558b, 0x90d505e5, 0x2c343a87, 0x40772320, 0x8f74b773, 0x5e852522, 0xeaf9c862,
+    0x8c2cc7f9, 0x17349572, 0xd7005d17, 0x1b8a4785, 0x7867f295, 0x0559a1f5, 0x45acee74, 0x2cc6ee6a,
+    0xcd757d3c, 0x740c5822, 0xcb068f1d, 0x4a56abf4, 0x3ca4e7d3, 0x637a8e78, 0xb2fe6206, 0x1655c450,
+    0x86793ee0, 0x433635ba, 0xd827bb36, 0x9184b61e, 0x1443c372, 0xf254cc57, 0x13f76923, 0xf54789b7,
+    0x131be68c, 0x00e6042b, 0xd589c926, 0x8f522c93, 0x12a1b94a, 0x7f7a440b, 0xf1ff7059, 0x9ccfe60c,
+    0x3e45b198, 0x786d4ef5, 0x1442cf19, 0x9be48feb, 0x4da39240, 0x4de9a397, 0x4154e1cd, 0xd6c16f93,
+    0x18a3bea6, 0x65399677, 0x0c34636c, 0xb032fc55, 0xa974ad1b, 0x78f13a71, 0xa2f907c2, 0x44ff483e,
+    0xe8bf4677, 0x861c946f, 0x637ae471, 0x39df9168, 0xb50885e7, 0x58d27c3b, 0xcde3674a, 0x1ea7a5b9,
+    0xea02ed59, 0xba415b83, 0xd7a2e5b7, 0x1de602ca, 0xfd0822cd, 0xb57bc8df, 0x61f530d8, 0x1dd1accd,
+    0x7ec47c3d, 0x800b397a, 0x01def1b2, 0x8d864d83, 0x4a55277c, 0x8a6c09f5, 0xc8aac113, 0x5064adfd,
+    0xf3f6b3ac, 0x80d9a1dc, 0xf26aad41, 0x3c59d0ff, 0x353225b5, 0xa8fbe3d9, 0x591050d3, 0x7fbc00d0,
+    0x20ad3fa3, 0xfc92e942, 0x023d6bc4, 0x316d7aba, 0xd4ce85e0, 0x27e6a405, 0xdba5bcb0, 0x791bfb4a,
+    0x184cc2e0, 0xb5df5b47, 0xa1a9ff04, 0x477fd390, 0xc1ec1647, 0xdb2a0dc7, 0x2be603aa, 0xd2665909,
+    0x37b8a81c, 0x08671431, 0x631d3a14, 0x15aa60cb, 0xb0694e38, 0x4bfb984c, 0x177fbfd8, 0x4399269e,
+    0x8de23531, 0x17907ba8, 0x77cc43a9, 0xec7377c4, 0xd525c8db, 0xea546a27, 0xd1be3a7f, 0xcc12d1c8,
+    0x371a6424, 0x95e0fb1f, 0x03c95adb, 0x5c026dd7, 0x7490ff59, 0x9ed1d333, 0xce6e7cc7, 0xbb333baf,
+    0xc50dfc2f, 0x6dfdc7b9, 0xf938ac8b, 0x98725ccf, 0xf2260e69, 0x9bdd2d12, 0xddccd5e6, 0x15a26677,
+    0xd5579c33, 0x7b0f2530, 0x02942e74, 0x21a8b824, 0x0c411b6a, 0xd9777a2b, 0xb3fe67ff, 0x0728d891,
+    0xc36f9853, 0xf033d634, 0x404ad3a4, 0xed72e79b, 0xc4ad3e7f, 0xd041840f, 0x494761b0, 0x60772ea0,
+    0x11ba203c, 0x7f54b3d5, 0x57f42c77, 0xa005eea0, 0x9ac4dc09, 0x99784d43, 0xb1665cf6, 0x17886e9d,
+    0x0e30a19e, 0xa105620d, 0x2ff76570, 0x65548bd8, 0xb40f4f6e, 0x91dd03cb, 0x4455c542, 0x8a4122e0,
+    0x3f8ee367, 0x15f338f0, 0x6305588c, 0x26f164a3, 0x2492d376, 0x8b13e4df, 0x0296e427, 0x639fc740,
+    0x2eb02126, 0x5af47505, 0x77f6eea2, 0x5b1a8b18, 0xc5b18643, 0xeebac57d, 0x8db0e702, 0xa8599dd2,
+    0xe4178e8a, 0x26ae2eb3, 0xb1cc6e90, 0x782a5792, 0x91d8f1fe, 0x2c96458f, 0x9ae0dd16, 0x78fc2cb8,
+    0x70d9ad50, 0x2d295b31, 0x1108ec2e, 0x0791744f, 0x40d8f73b, 0xe5d48924, 0x4076b0c4, 0xb418e0b0,
+    0x4d0ac98d, 0x6a9a6a60, 0x0aaba828, 0x4ed1aab6, 0x194c79fd, 0xd5dc6b90, 0x4f6220db, 0x118e9d5e,
+    0xeda10b52, 0x6477c323, 0x7047f3b7, 0xfa5438ce, 0xdaf8ffc0, 0x504f3ee6, 0x29736790, 0x549db096,
+    0x6472d868, 0x876a0181, 0x377a8e1e, 0x4d6cc279, 0x10fb2014, 0xf8cf7209, 0xa818af20, 0xeda8b814,
+    0x1ca3e29b, 0x5d3e9348, 0x6188b003, 0x1f872eaf, 0x1ca8d6bb, 0x27705b79, 0x71b106d8, 0x4f324c28,
+    0x2b37eb7d, 0x6ba9e5b0, 0xe1504484, 0xe0e8a9de, 0xceb4e8ca, 0x77321517, 0xa1f38d19, 0x16d7b51c,
+    0xa41561fe, 0x075d6300, 0x0eb6b77c, 0x31c46319, 0xcb677460, 0xff0df3d5, 0x27e72f91, 0xeedeb628,
+    0x00000000,
+    0xf461e98a, 0xb9254dfd, 0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0,
+    0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000001\
+                          15792089237316195423570985008687907853269984665640564039457584007913129639936 */
+  { 0x00000000,
+    0x03e5d8ed, 0xbaaa62ec, 0xe671ab13, 0x7697b027, 0x27450fa1, 0x19f43a6a, 0x5afc10b8, 0x7beaabd3,
+    0x131df684, 0x765811d5, 0xc4f99f5f, 0xe4f32119, 0x78493182, 0x056b7443, 0x4011cf53, 0x1ba6381d,
+    0xe972f311, 0xe9f03fd4, 0x6d337f48, 0x7dd14814, 0xc897c0e4, 0x9e474731, 0x8c578873, 0x10f5bafd,
+    0x639fea4d, 0x6a118141, 0x3149b669, 0x6bcb6f90, 0x5bfd9880, 0xe87f21d4, 0xcf535909, 0x3c3e98a5,
+    0x77586b30, 0xbfe0dcd5, 0xa62b0cde, 0x315fdd95, 0xcbbfdff1, 0x3ada0cce, 0xdd3384c5, 0x527b0719,
+    0xbba17317, 0xb2f59efd, 0xc5ba0c93, 0x115b5aac, 0x9f2adde5, 0x3403168b, 0x8939634e, 0xa15986a4,
+    0xdf67924e, 0x4b6b3aea, 0x52bc73f5, 0xfa1e9bfb, 0xa2270827, 0x3f6c65e8, 0x40e77670, 0x84f2c033,
+    0x28c65b74, 0x922c8113, 0xb573da89, 0x142f3be7, 0x9971e41d, 0xc01f8205, 0x1e9d74ca, 0xe0bfa9c6,
+    0x8fecf978, 0x6131cd87, 0xffe70217, 0x53d973cf, 0xa67eea8e, 0x1d27f7ed, 0x44801b22, 0x4549ce1a,
+    0xdaa3a470, 0xf7336bfa, 0x448414ca, 0x1ead6c29, 0xa95797a0, 0xbde38161, 0xc50167e7, 0xf05bd32c,
+    0xb64bfe26, 0x4dc85dbe, 0xa68255c7, 0xa70f74ec, 0x9c0da7af, 0x64484fae, 0x358f1e80, 0xf7c7258b,
+    0x089c44a9, 0xe1d886b7, 0x74064d08, 0xa41e7c99, 0xd1ce9336, 0xfdc103cc, 0xc61ad75b, 0x07e15edc,
+    0xfb25540f, 0x36c1a931, 0xa852a9ed, 0x9f5e8514, 0x7ed620b0, 0x6b32ed7b, 0x6c54511b, 0xf7c36cf9,
+    0xd46e5cf9, 0xa51fee5a, 0xd78b922b, 0xfe62f782, 0xba68befe, 0x445c048d, 0x5c234939, 0x288e4ddc,
+    0x9a81329e, 0x5b60225f, 0xdb2548a8, 0x3e48954c, 0xb4cded87, 0x6315ac32, 0x5114f166, 0xb87b32d1,
+    0x4334b5c3, 0x6c18acae, 0x870b0db1, 0x7655033e, 0x7dfb0b3a, 0xbee50e84, 0x895fd8af, 0xe59a186c,
+    0xd6253d87, 0x1ccffbb7, 0xe94cefee, 0x04366317, 0x25cedb24, 0xb53b7382, 0x43ddccf0, 0x63da4df0,
+    0x1411992f, 0x79d3a283, 0x291b9c31, 0xcbbad730, 0xb6be482a, 0x1e1d4e80, 0xfd075987, 0x41488c47,
+    0xc95ed2a4, 0x6952fee5, 0x89cbc866, 0x02cae8d5, 0xba7cdc99, 0x44173bc4, 0x45703aa7, 0xdf7874cb,
+    0x60f08f02, 0x1afd95df, 0x36300c77, 0xbed79c7b, 0x36041140, 0x779029ca, 0x683fc73f, 0x77fa4dd3,
+    0x974fa7be, 0x285a8ba9, 0x9951f335, 0x33ac0104, 0x551ef4b7, 0x2dedb24d, 0xa9bd5607, 0xcd6a6306,
+    0x1c9840e3, 0xbe4af655, 0xfada8c65, 0xa6e5c1c9, 0x75f97a36, 0xc67c999e, 0xcd2b7d06, 0x191db4d9,
+    0x2ebf800e, 0x0c31fdc9, 0xa7be9238, 0xb1c1db9c, 0x96653307, 0xf0cb4cbd, 0xe4ffe118, 0x91f7a8df,
+    0xc02df44d, 0xa4fc605c, 0xa3bf57a3, 0x29e84565, 0x09f12f58, 0x0195ea3b, 0xa873d752, 0xa58ac15e,
+    0x2aef6a4a, 0xdb6aa5f5, 0xfdb52e6f, 0xe8471977, 0x92bfd864, 0x5947d70f, 0x4755788c, 0x26f35f9e,
+    0x3a6b8ed6, 0x9c675841, 0x47a17012, 0x22eb6e31, 0xe7f0a49d, 0x892d51d1, 0x2bcf04bf, 0xc1b28acf,
+    0x2d1e9892, 0x2106d8d1, 0x36ae933e, 0x6da478a8, 0x16ea0815, 0x80ffd67a, 0x98e4b1ad, 0xf3e12060,
+    0x69ac712b, 0xf1a929c0, 0xf716a73e, 0x4c139f75, 0xf0937792, 0xdc040456, 0x54c454f4, 0x4f2e10dc,
+    0x919829ad, 0x65a84ed7, 0x28dee77b, 0xa954d843, 0x28b94061, 0xa08405eb, 0x5cb80265, 0xf3a35018,
+    0x6b827660, 0xe7cefaf0, 0x5103ed3a, 0xd4282928, 0x927bc872, 0x0a0915e0, 0xc5537810, 0x3482e6d4,
+    0x4610df2e, 0xa531448c, 0x06e67a38, 0xc17a40d1, 0xd7673a2c, 0xd3f2e524, 0x8f1fa86c, 0x70a205b0,
+    0x3301c6e3, 0x2b211f78, 0xae28495a, 0xfbb8efaf, 0xf3ca21a5, 0x1084b6ae, 0xf139a431, 0x7da56d75,
+    0x24faa9b5, 0xfcf2378b, 0x23b32bba, 0x56a28280, 0xdfd7a75e, 0xc46508d6, 0xb47e820a, 0xbf8277af,
+    0xf9c08f3b, 0x6117ff29, 0xb88dd69b, 0x4ec74061, 0x446b08a2, 0x1a1fcaf4, 0x0eeaf2dd, 0x4c505a1f,
+    0xacb757c4, 0x2bdd27e7, 0x3b228fbb, 0x53474085, 0xc4c110bc, 0x01b47184, 0x504a10e5, 0xfe40a77c,
+    0x022ea9da, 0x9f00fed6, 0xff508be8, 0x5ef6b874, 0x80406cf8, 0xb40a27b8, 0x758c971b, 0xd3918ccc,
+    0xa19f0061, 0xcc1aaed1, 0x318ed2ef, 0x9f1fe88e, 0x8b326208, 0xac619aae, 0xc66e0ee8, 0x2afea524,
+    0x9c7b1938, 0x2911d431, 0x09126dd1, 0x09a5b76a, 0xb7ed77c5, 0x8fbefbec, 0x4dc459f1, 0x20a5f811,
+    0x4234e703, 0x41f9b32e, 0x477ed7b7, 0xbeaa27ef, 0x861ad407, 0x1d7e0be7, 0xb851116b, 0x6b5e34b9,
+    0xde98b9fa, 0xc9ab3976, 0xaddbdf75, 0xa0aca0a1, 0xbdbf6546, 0x3de50b4a, 0x38d3c143, 0x210ff1d9,
+    0xb1dd6581, 0x1721b7b3, 0x8d6296d3, 0x0d2fce6e, 0xceb431b2, 0x1dd5a4e1, 0xca4c669d, 0x50dbb853,
+    0x9a73ee10, 0x85821f39, 0x2e3471d2, 0x50271ae7, 0xdef4d3f3, 0xa0436d5a, 0xbd9f2d5e, 0x8d59fe78,
+    0x8e286db8, 0x3f4805d8, 0xf74e9c47, 0x333aa4f6, 0x76f26e63, 0xb204dae3, 0x312c77b3, 0xeade5a8a,
+    0xa2d38ccb, 0x6bae5f8f, 0x14ec8542, 0x392fa465, 0xaf4b913c, 0xd2c5d857, 0x51161694, 0x2bef3f86,
+    0x26035808, 0x746ce489, 0xafe6c1cc, 0xc6a31735, 0xdd12515b, 0x1eb84b79, 0xdc56fb3a, 0xdf5ba452,
+    0x4402d16f, 0x4649de4b, 0x3f2cc34c, 0xafd22ccf, 0x8c1452e8, 0x220b99e5, 0xc8ed6c80, 0x2d0e098b,
+    0xb7371c7f, 0x6d1c0c8d, 0x72f37987, 0xae230ad5, 0x77a6d8a4, 0x8f88881a, 0xd211bbb5, 0xdfaa6ae2,
+    0xda560530, 0x8a4204b5, 0x22f3960c, 0xbb962279, 0x893fabe8, 0x2b443c69, 0x29a5f938, 0x621cb31e,
+    0x33ce3ee8, 0x5e8905cc, 0xf573f76d, 0x7d27dfc6, 0x7aa85d54, 0xd9ac078b, 0x765be1ef, 0xf6f86ff7,
+    0xd4fc9867, 0x1fe78d4a, 0x174e459d, 0x52133c1f, 0xefa9bc97, 0xc2f2b080, 0xa222b70e, 0x0e011d12,
+    0x850961d3, 0x571e60fb, 0x98b5f95d, 0xa68c82e8, 0xf0120cd9, 0xbdc77066, 0xd4f20660, 0x15e7dc6d,
+    0xf466a131, 0x491e4707, 0x45e66b27, 0x7027130d, 0x6b19b062, 0x2beaf8bc, 0x90f6154c, 0x2dab3c18,
+    0xda66322d, 0x9c18a2fa, 0xd2811f9a, 0xc32e4ffa, 0xa553d99a, 0x40bcbdb7, 0x4a5eda03, 0xb8a58555,
+    0x1a4a92d9, 0xb9825bec, 0x9ad0080c, 0xf3529a3f, 0x8e1ea158, 0x478d707c, 0xa779eadf, 0xb2c2b7c7,
+    0xcb81c1cb, 0xedbff222, 0xd966b542, 0x48469993, 0xec994f18, 0xb7cc0093, 0x64ea1f9f, 0x2e2b8511,
+    0x3f336f7b, 0xf22183f0, 0xf46dd222, 0xa1e41003, 0x04e7bc03, 0x0796f2b7, 0x37761341, 0x80928a9f,
+    0x7db61839, 0x3c776b8c, 0xc07f211a, 0x980cd46d, 0x36eeebe7, 0x22998ef1, 0xb716e0a7, 0x8c6ea4f0,
+    0x0ffa0c34, 0xf0e8c046, 0x8a96826b, 0xc53200d3, 0x83b1ae54, 0xef11d269, 0xc46ecf6d, 0x7f764e8b,
+    0x04aaad5d, 0x48f0fd22, 0x0eb5328e, 0xcd9f5c81, 0xfc7434e2, 0xa6f9454a, 0x1da52036, 0xe520af4a,
+    0xc180ad02, 0x59ac940d, 0x68609536, 0xb5602062, 0x9e725440, 0xffa05ad4, 0x4f455a1e, 0x6035a147,
+    0x53c79c01, 0xd66e602f, 0x6d21b0d6, 0xd6d43df4, 0x57da83a4, 0x7c32706a, 0x28df2db9, 0x0278ab5e,
+    0x86d71a33, 0xe3fe97ba, 0x8f1824ed, 0xcbcc4e7b, 0xc9fae034, 0x7fec6406, 0x585594e6, 0xe184a372,
+    0x105285b0, 0x5f186fac, 0xbf49ab6b, 0x6a9e8adb, 0x0a1ef32d, 0xc8d1884b, 0x7d7b646c, 0x3e9b2824,
+    0xe5a9f504, 0x4a714e01, 0xaaf04535, 0xf92d9f2b, 0x3cf8dad8, 0x689afe72, 0x78199c0b, 0x451d7a33,
+    0x2bc33822, 0x089286f4, 0xca8eba11, 0x8e7136c8, 0xd2a4c9ba, 0x6729b2d4, 0xc1194f41, 0x0107f177,
+    0xe316a464, 0x862d885c, 0x7e1d4cc4, 0x9374d9ed, 0xde6d4c9d, 0x0e750fdd, 0x68bf6c43, 0xdd6c1145,
+    0xaa7085e0, 0xfc11336c, 0xf1ef4b1a, 0xbe188a41, 0xbe6153d3, 0xa293584e, 0x8853893b, 0x83b0753a,
+    0x116e1a32, 0x661b4f54, 0xa0081924, 0x81679b1a, 0x0a1768a5, 0xa626d6a2, 0x95e6b64b, 0xa7002d41,
+    0x2abb9290, 0xe97dbd29, 0x3a3d6e11, 0xd47144f6, 0x6b2b1fd3, 0x646321a9, 0x3d84147b, 0x52f005ec,
+    0x057116b4, 0x59bf5fe9, 0xf5527ac8, 0xd410eae7, 0xc685211e, 0xf163acff, 0xc46036d2, 0xe8b538c3,
+    0x4762c598, 0xb07e6f07, 0xbe85da77, 0xbd5ce292, 0x9ad1a6c7, 0x63b4b280, 0x6e7e9575, 0x2dee132e,
+    0xe4fd08c8, 0x0ffcd75a, 0xf251beb7, 0xad9964f2, 0x7605ca58, 0xe498026c, 0x710f22b1, 0xa436b016,
+    0x06d45b83, 0x72f98d95, 0x5401018a, 0x8f8353b1, 0x2123b90b, 0xf9775101, 0x379352bc, 0x0f3a1f72,
+    0xe8c8b143, 0x19651b08, 0xbedf9b72, 0xfe345e1f, 0xbf688321, 0x25b07088, 0xc9c23f2e, 0xdb550b28,
+    0xf9502037, 0x7e8ac6bf, 0xca71bb50, 0xfa760866, 0x1c1581fb, 0x45f9c319, 0x999087b3, 0xa3456f0f,
+    0x4823c1f4, 0x876ddc74, 0x092140dd, 0xa9695f78, 0x410edf8f, 0x8182f203, 0x08557a00, 0xaf898ffd,
+    0x7c39fe6b, 0x0b18cf27, 0x7ba1187b, 0x9235b01a, 0xfffea168, 0x45a277a4, 0x86eb3039, 0xc324e1bf,
+    0x54e5f6fd, 0xf548e5c4, 0x7635e372, 0xf70758c7, 0x66a17ac5, 0x246006d0, 0x7b133ddf, 0xbe3e9689,
+    0x5f0129d2, 0x65390282, 0x430ce6d6, 0x04bacfdd, 0x4dc891e1, 0xcb254ac0, 0xe950af59, 0x10f98cff,
+    0x8b67fc66, 0x3e27ddb6, 0xe85d0801, 0x086672d6, 0x0167b9f6, 0xdcb09c0e, 0x54c38562, 0x68f71916,
+    0x0a912d5d, 0x67e05c27, 0x124152e0, 0x49d74100, 0x68f9380f, 0xdf18c88e, 0x3377c6bc, 0x8f4d8aa3,
+    0x6db6605f, 0xc415fb3e, 0xb8e7fe8b, 0xe308d8e2, 0xaccd10ae, 0x3b060dcd, 0xffdf7c15, 0x48ed376b,
+    0x6b6f157f, 0x9eb49527, 0x057f2355, 0xeccc5c3d, 0x51e806e2, 0x91d43d08, 0xb1715bc7, 0x5ff377e7,
+    0x7d9d9351, 0x22eb470b, 0x08b0829f, 0xda86fbf0, 0xcc8eedd0, 0x14e1de29, 0x91551963, 0x277d2af0,
+    0x4dcbfafc, 0xc8cf8809, 0xc9189141, 0x39504247, 0x5bf332ec, 0x9c583323, 0x76b16564, 0x396420bd,
+    0x4e631ce7, 0x58aeb233, 0x54e3bb17, 0x1b126824, 0xeb10f557, 0x71fe9296, 0xe765c512, 0x854b9ba1,
+    0x04eef6b5, 0x5c9bd3ce, 0xedbdff37, 0xa1ab7ef7, 0xc9cd0e7d, 0xfcdd201a, 0x48d0c0f8, 0x07cc95cc,
+    0xfeef05f9, 0x3babab46, 0x2484008a, 0xc5e44b77, 0x24686a4c, 0x5f547388, 0x23b2cb9b, 0x88234795,
+    0x88db6eb5, 0x09164207, 0x6dc6b5e9, 0xaa873b69, 0xfc107519, 0xf4f04d3d, 0x5bb02019, 0x98a66aa2,
+    0x1371ef21, 0x1fbd56b7, 0x9752ca9b, 0xd57dba2d, 0xb690b8e8, 0x2a1c4d2b, 0x40ce5241, 0x33cca994,
+    0x53dba8d9, 0xf1469862, 0xf30e005a, 0x56b5e6d2, 0xe1d7658d, 0xc6c7e8a2, 0x1a7bc1cd, 0xf9bd6fcd,
+    0x98a198aa, 0xca115024, 0x7d63558f, 0xd670d444, 0x9179982d, 0x40378d67, 0xbb9b976f, 0xb8c0ca34,
+    0xd0e85320, 0x3894a5e6, 0x355bfb7e, 0x126989cd, 0x00a0067a, 0x0915b66b, 0x19fe9082, 0x68b94f37,
+    0x80c4895d, 0x873b8e31, 0x6e9cae2e, 0x6cc2935f, 0x7a64b6ce, 0x850792f0, 0xa1484b10, 0x055a7332,
+    0x4e0bf7a1, 0x565f346a, 0x76f6863f, 0xe3f5301b, 0x9b39d4cb, 0x2d1060cb, 0xf36cd082, 0xc1665034,
+    0x1b6bc2b9, 0x8c1f3bf5, 0x4c6ab706, 0x4e16919e, 0x8f30e492, 0x21e62fcc, 0xfb966aa1, 0xddb6cf00,
+    0x2a6346f9, 0xf5b1e459, 0xee22d957, 0xa1b05777, 0x607f1fc3, 0x9a568c68, 0x28d8f45e, 0x058338a6,
+    0x88dd8656, 0x6c6e7501, 0x389fbdac, 0x51f060f7, 0xd2aa9250, 0x82c49866, 0xe3113018, 0x566befc2,
+    0x008701f1, 0xbba26ce5, 0xcf166b45, 0x24febea8, 0xd67cb616, 0x305f297d, 0xdbe0fb1d, 0x2e1c311f,
+    0x57739e5d, 0xa28bdc77, 0x8894e338, 0xbeffc86d, 0x596c1f5a, 0xa39d86ae, 0x2f9fa419, 0xb18e092f,
+    0x2f1df2d0, 0xfdd3dd2c, 0x51fcfcab, 0xc81f9351, 0x935b262f, 0xbf3ce572, 0x97fe0d49, 0x91b61521,
+    0x3c0375b9, 0xc3671f1d, 0xa8f86ce0, 0x69d65950, 0x853f0fe7, 0xff987711, 0x354e0303, 0x4f4d366a,
+    0x0c3a39d6, 0xbc72db5e, 0xbb96b6a2, 0x2a6218ed, 0xed782c59, 0x941a87cf, 0x82e149a9, 0xbe4b4192,
+    0xe8bf3915, 0x1ab74c14, 0x0f36c739, 0x5c4a1c43, 0x99c63f2a, 0x990ab0f2, 0x11df8714, 0x7b616f1a,
+    0x929fc520, 0x37f2bd17, 0xe5484667, 0x27f448a9, 0x0d45fa3c, 0xc6abdc1e, 0xfb23802d, 0x8851e629,
+    0x171c1b13, 0x8971786f, 0x07ae62b8, 0xc71489d4, 0x1f101f65, 0xe9ae9fd6, 0x83924f6f, 0x33a2202f,
+    0xe5e8b2c5, 0x8eea18e3, 0x2de92499, 0x92e10848, 0x4a82d7c3, 0x610c935c, 0xa6d76fb5, 0x288b5c79,
+    0x06589f08, 0xa268c9a2, 0x790e897e, 0x8c3294a2, 0x94cc8967, 0x591d596f, 0xf8da3239, 0x835a922c,
+    0xbe719e4d, 0x84379ab6, 0xdec5824a, 0x7e30bce1, 0xb53aa2d7, 0xeba8e559, 0x3d2bc142, 0x314230cc,
+    0xc3039052, 0xa374ef20, 0xbe8a7053, 0x51ac1bfd, 0xd476a831, 0x383b5f47, 0xb7feb655, 0xcf2e4688,
+    0x6e824720, 0xac06fb7f, 0x34840399, 0x512c4104, 0x31d999a7, 0x38b3823a, 0xb7c0414b, 0x76a9f7cc,
+    0x3fa38a6f, 0x5381b496, 0x7da75c9b, 0xc39c862e, 0x76e7b232, 0x48ca137d, 0xf9aebfee, 0xff287159,
+    0x4d486107, 0x286f5cef, 0x59ff967f, 0xb6db1af9, 0x1daccd80, 0x25c0197b, 0xfae87024, 0x5d128833,
+    0xcaf69ae1, 0xe81f6cb4, 0x46b0168c, 0x3661d107, 0xa47d278a, 0x3afe8275, 0x557f1746, 0x0fa8c34f,
+    0x30aefeda, 0xe00e9a25, 0x3a2e629d, 0xbefa47b4, 0x25972f0e, 0x42f3ad34, 0x280c6feb, 0xff511ce8,
+    0xc34a6a2b, 0xf8b18341, 0x9956c5e2, 0x2ab07834, 0xad62785e, 0x060f67a1, 0x0b44b535, 0x66ed984f,
+    0xfe6806a2, 0x5c2b56d0, 0x19dc76fd, 0xc4520c81, 0x99fee278, 0x05bf9d7c, 0x5a9439e2, 0xe88026c1,
+    0xecc02a5b, 0x83b0f6cb, 0x75cc825a, 0x96c8f48e, 0x647b2dfe, 0x636e49ce, 0x5828344f, 0x88d14243,
+    0x06f99f93, 0x10baff3b, 0xfbc7537e, 0x0f0489dc, 0x6a9120dd, 0xfb9199e9, 0xe54dd605, 0x31148a49,
+    0x79e59a2f, 0xf44a3359, 0xf243c6ff, 0x3fdf6abe, 0x0fa3993e, 0xa30baf1c, 0x6e86a65a, 0x841ee4c1,
+    0xfc134e49, 0x59ef071b, 0xbe10838d, 0x3bd5a56d, 0xe44b0a38, 0x60c6a12f, 0x5d934944, 0x8934a943,
+    0xfd9e827b, 0x9c3a8692, 0x24aa58e8, 0xff8bac72, 0x72aa24e6, 0x097453d3, 0xff93e357, 0xc62d5953,
+    0x4760eb2e, 0xd54a879f, 0x1afb453b, 0x82c0f3c2, 0xd7aca7bd, 0xed2fa0c5, 0x46280361, 0x69c8051b,
+    0xd4c63dc5, 0x599b5a43, 0xa97963f4, 0x2e902a38, 0xa966fb42, 0xf53e2e2c, 0xf2769c5a, 0xc099a99a,
+    0xbcbfca7f, 0xc392db72, 0xfc9a931b, 0x06bf8c3b, 0x3c1911c8, 0xc8aafde5, 0x337aae19, 0x84fb54b7,
+    0xa0f070da, 0xf375773a, 0x8bc91415, 0x933fd9f9, 0x57bc76bb, 0x9e08b5b9, 0xace26f50, 0xf749651c,
+    0x00000000,
+    0xfa30f4c4, 0xdc92a6fe, 0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68,
+    0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          57896044618658097711785492504343953926634992332820282019728792003956564819968 */
+  { 0x00000000,
+    0x2e339791, 0x39e483fd, 0x8737b7cf, 0xb5191b9e, 0x5e9a2969, 0xcfa3bb04, 0x9683e295, 0xb17d01b3,
+    0x75664a15, 0xd4753a87, 0x8f2f5437, 0x856bc2c3, 0x15ffdf5f, 0x8003a390, 0x32d6c1e7, 0x02d71a3e,
+    0xd1401b4d, 0x8c8658d4, 0x54dac8cd, 0x0ba7f297, 0x59bafef0, 0xf8bd0a2a, 0xad791bf6, 0x12fca9d1,
+    0x63dce25e, 0xc69d4e16, 0x013148f9, 0xe99ada74, 0x8cb1abcd, 0xe1139981, 0x27dcc391, 0x158498a8,
+    0x47dece50, 0x3ff550f5, 0xe1838029, 0xa8fcca25, 0x4c2dbbf6, 0xb9fb57e6, 0x44b6d1be, 0xc2c667c8,
+    0x796fe564, 0xd0f3999b, 0xd7e7f3cb, 0xc31385a0, 0x2f2aed2b, 0xca3d76c8, 0x32b17bc9, 0x0e09b5d0,
+    0x76dc3a2f, 0x47b882cc, 0x8437145c, 0xa5bda93c, 0x1e8ae912, 0x5e250ac4, 0x2aad2dde, 0x7d533b3a,
+    0x206848e3, 0x7b595408, 0x6180d1c3, 0xeee84ed1, 0xa4c9da2a, 0xfe2b32e1, 0x6b1464ae, 0xfafe6b41,
+    0x8f535828, 0x97d2ba73, 0x16316dab, 0xcd707819, 0x2e73f95e, 0xe323f493, 0x70a54135, 0xffdea9b5,
+    0xa4a6acab, 0x76814868, 0xbabfca63, 0x5db97edc, 0x3db777dc, 0xb66665de, 0x8030b425, 0xd4f74297,
+    0x2c07ec82, 0xbd8f6130, 0x445c5af2, 0x73a78e09, 0xf64c4071, 0x47be0e59, 0x30f5d5d0, 0x2c4ee35d,
+    0x96c26b14, 0x72707bf0, 0x8e962f0b, 0x0c2860fb, 0x4583f62c, 0x2689b4ac, 0x8bf09eb5, 0xeed43ef7,
+    0x76da0d13, 0x079178cc, 0x664c4307, 0x7466d2cf, 0x0bf747ed, 0xf5dd7698, 0x70221955, 0xe459e90d,
+    0x3ffe5499, 0xa2559282, 0x3f01faf9, 0x9168e74e, 0xf1dcbdfd, 0x37c5309b, 0x3ef78210, 0x2d1f97e7,
+    0x87cd8c94, 0xc0cb2e08, 0xbef7f265, 0x097c3af1, 0x5f7f331a, 0xa6f1226d, 0xee206d3f, 0x24e7a903,
+    0xa1fddff7, 0x7fab87e5, 0x43216b83, 0xa34912ab, 0x97a2e576, 0x50b2786d, 0x6230d896, 0xda0a2752,
+    0x0a9ec098, 0x4ff0fb9b, 0xe3a00ef8, 0xaa454574, 0xb52ba571, 0x7ffaa255, 0x10450665, 0xca847c48,
+    0x7936d86a, 0xdd910192, 0xd1497b5b, 0x82040fb3, 0x31d36331, 0xa4481cf0, 0x586b1526, 0xf114c822,
+    0x5edc6c67, 0xff2a8dfa, 0x9101253b, 0xae2c4634, 0xad916dcf, 0x8ce8dde3, 0xc83fb838, 0x3f125516,
+    0xc936ecaf, 0x0a022f45, 0x6d85eb96, 0xfb84e1c2, 0x8e92e486, 0xc22af3ab, 0xd3079007, 0xadb8a496,
+    0x2daaaaf4, 0x5305064f, 0xcd43f184, 0xbbd9fb94, 0x61feadd6, 0x5fcd752d, 0xd73c48b3, 0xfe88d7a9,
+    0x43f6c456, 0xe0f8c5cc, 0x15087ad3, 0x746a7dc5, 0x3ccba94b, 0xbf3188d0, 0x0437537c, 0xb6f5cc83,
+    0x2ed50ffc, 0x7e569cad, 0xc0b58312, 0xfb2d2480, 0x5069bff4, 0x3b458f86, 0xa1d99b84, 0x18ae166c,
+    0x259b3a90, 0xff066cfc, 0x8df6e409, 0x78300dae, 0xa50ba207, 0x6b226b59, 0x5a20f0ae, 0x28dd2586,
+    0xff89508d, 0xc81911e1, 0x79ed550f, 0x98afecc8, 0x4bbf5ec5, 0x5e19e828, 0xc410345f, 0xaa5db785,
+    0x2868a2d6, 0x2c929607, 0x8a057686, 0x2745fb40, 0x24a40c77, 0x01855e36, 0x2562b1bb, 0x56f76e0a,
+    0x78168d19, 0xc1fb1cef, 0x89ad648f, 0xf3e06e05, 0x3c8fb234, 0xc9ce76de, 0xd2df6e8a, 0xb3a36740,
+    0x9e930b5e, 0x60143ee8, 0xf432dc30, 0xc0877f95, 0x2e0fea10, 0x2016df05, 0xa7321f71, 0x78df28d1,
+    0x6a214875, 0x4bd65348, 0x7c58d1e7, 0x4abab746, 0x1dfb510f, 0x55d1e144, 0x854a5f6f, 0xdc2bee51,
+    0x86d5686d, 0xb37d1d76, 0x3d750289, 0xa52d36c8, 0x375a7000, 0x105724fd, 0x86726044, 0x0374fc55,
+    0x00804e7d, 0x76f5a110, 0x5b97ea94, 0xf32f0b94, 0x00cea3b5, 0xfd66bef0, 0x4c675ad0, 0xf762b199,
+    0x298d515f, 0x50132604, 0xf4f2e7d9, 0x7f2ae7fe, 0xc0feba1a, 0xf27614a9, 0x569cd480, 0xf688845f,
+    0xcdd90826, 0xf5cd8e4d, 0xca3f87c2, 0x64e3bdc5, 0xb658a967, 0xfcdfc765, 0x25713061, 0x98ea4738,
+    0xd51ffb1e, 0x2facddc2, 0x1163c953, 0x21fc06ca, 0xe8af1919, 0xd98be2c2, 0x30472906, 0x9a9bb0c0,
+    0x5a8bce22, 0x466b62ab, 0x3ad63718, 0x6d88f6ac, 0x93fe8733, 0xffaa2ac2, 0x9bd785ce, 0x2455c85f,
+    0x6f38ba92, 0xe33826af, 0xdfe3042e, 0xc532f8c2, 0x663cc482, 0x1b080ee9, 0xa51b5b3f, 0x3c764a5c,
+    0x6f8f4825, 0x49d5a891, 0x6b8835a3, 0x5b7a5d05, 0x7d131942, 0xc69a5516, 0x378a12ad, 0xbb4cada8,
+    0xbb2875a4, 0x997031df, 0xc4b585b8, 0x5573c42e, 0x25a8fb56, 0x8b4db76d, 0x540ce394, 0xae1998d4,
+    0xb8f7fbf1, 0x5979dd5d, 0x3641a783, 0x12a977a0, 0x45bd2047, 0xc063c73b, 0x4d1ea86d, 0x9545d952,
+    0x38dace4f, 0x55305468, 0xe3de6555, 0x9e4c344b, 0x1327d117, 0xd4db033b, 0x6e4af5d0, 0x254e268a,
+    0xb723670c, 0x4ea8c847, 0xd50c2046, 0x21e3856d, 0x2564fafc, 0xef801804, 0x0606ef23, 0xdcfa789c,
+    0x0e57e624, 0xb9c069e4, 0x2d5a5d78, 0x268a6dba, 0xd652ca3c, 0x67279631, 0xb4635c8f, 0xddb59aa7,
+    0xc8b15347, 0x51545155, 0xfd307527, 0x08d44c43, 0x1b1cd30f, 0x7c18e889, 0x53f51132, 0x2adfaf63,
+    0x46f0dd23, 0x97ab77fa, 0x05a208c9, 0x8c4c11e6, 0x76385942, 0x29bc4d96, 0x39efa202, 0x10ac0cd0,
+    0xd82df275, 0xa768ba93, 0x977ccd4f, 0x09fe2547, 0x511eab38, 0x8ba4d82f, 0x6826a470, 0x5ec8acb3,
+    0xf645cf4e, 0x8bdc149e, 0x3bd0cc58, 0xf3ee21a5, 0xd2ddf41b, 0x54989c60, 0xb0e0ecc3, 0x09fcb68e,
+    0xd4e4c0a1, 0xafae5323, 0xfdd4ad99, 0xf4b31487, 0xb27b2235, 0x8b00fc9b, 0xa121e789, 0xd3841007,
+    0x99c8501f, 0xc9e8a967, 0x11e2a699, 0xe077a542, 0xa3c3de24, 0x53a00a48, 0xc4bf2f05, 0x2158dc67,
+    0x7ce509ff, 0xba20acb2, 0x4accee2c, 0xb5523bca, 0x96100536, 0xbbeb7b9c, 0x075686b5, 0xf0cc8f82,
+    0xa0781504, 0x981fe5ed, 0xc4d3cb1f, 0x148b860b, 0xd7251be4, 0x66aba89e, 0x583a33e0, 0xec6a4a2e,
+    0xa9645df1, 0x9ecb55df, 0xa9763a81, 0xa39d1484, 0x21eeb4f7, 0x48d405d9, 0xdb3f1de2, 0x29ec0a5e,
+    0xe7ed792e, 0x672755fe, 0xa5747851, 0x0eaf9e0d, 0x0b13de3d, 0x298aec06, 0x86c2d71c, 0x2a042376,
+    0xdbac1b2d, 0xca7e301d, 0x2df9e6fb, 0x2741260e, 0x92c35544, 0x9cd2c6be, 0x949e24d4, 0x19a3d5c0,
+    0x317e31a9, 0x9a819bcb, 0xd0a7d9b7, 0xb554f159, 0xaf36ce1e, 0x6ee4419e, 0x81f564c5, 0x1617f9ef,
+    0x2b6d5def, 0x9e7b95a6, 0x724f8d62, 0x4282fff6, 0x20b3534e, 0x8f954b12, 0xc946f449, 0x85502afd,
+    0xa8bd9c52, 0x16a67576, 0x79e24031, 0x6880e110, 0x660b1eaf, 0x81a54d39, 0x7b0f17c2, 0x7c6d3127,
+    0x075f47e9, 0x28c92ce4, 0x2fb6d9f4, 0x9020cccd, 0x22ab0959, 0x0ae82638, 0x0d9d2cc9, 0x4b21a348,
+    0xaab459ba, 0x433f1da9, 0x4f44bc37, 0x6cb8cf28, 0x08472567, 0x3c1dd062, 0xa729d9d8, 0x3a9849e5,
+    0xef6b9c01, 0xf4ba3a7a, 0x722ae881, 0x7e5647ad, 0x2befdf60, 0x48ec8935, 0x3c919aac, 0x2b35640b,
+    0x8a6a7461, 0xce3ce5c3, 0xf0995519, 0x40ddc062, 0xeb425681, 0x8de5d9e4, 0xe5d114d1, 0x7c6232da,
+    0x8ed07a71, 0xcb2637a4, 0x1c96d9fa, 0x32a692ac, 0x8dcceacb, 0x4ff8efba, 0x62636feb, 0x9109b4d3,
+    0x8ee74afb, 0xe563bef8, 0xb982b051, 0xa8cb24bd, 0x60773a9b, 0x4f2b2247, 0xb87f571d, 0xbe44236b,
+    0x71b8496d, 0xce4ef3fc, 0xea0bff0d, 0x70ed217e, 0xf61529ee, 0x04c7692b, 0x4cc79c02, 0xebae54fd,
+    0x96a3ba57, 0xdb43ca3c, 0xe41e6dbc, 0x7a3b90d0, 0x75aa59fc, 0x02ff260d, 0x49981ddc, 0x8347eda0,
+    0xed30789c, 0x6d510a67, 0xfc0d42eb, 0xca8f6dca, 0x64bc5263, 0x78c97a9b, 0xd157919d, 0x93f749f4,
+    0xea0a7123, 0x69ad9253, 0xa9bb9a61, 0x8e12672e, 0xc64ed3de, 0x5049da13, 0xef50cbf7, 0x4ca11497,
+    0x13145340, 0xb3fbe098, 0xff8d6f27, 0x0689ce4b, 0xcb2fd632, 0xa5959b28, 0xd2e5d1a4, 0x7d8ab867,
+    0x20914621, 0xac8a71d6, 0xd42b3fa4, 0xcae8f153, 0xc14dcff9, 0x33759904, 0xf1d100a1, 0xfda14d53,
+    0x8e001074, 0x83f1a58a, 0x560e3210, 0x0e34db60, 0x283d35bc, 0x23428170, 0x11a1c824, 0xf1a20d36,
+    0x7832be42, 0x46ec2df1, 0xf984548e, 0x5894e3da, 0x73499435, 0xd0ba94e6, 0x0adbbc99, 0xd1b49af3,
+    0x76a8bd9c, 0x19a1b47e, 0xc314b8e8, 0x2395b59f, 0xac0ffe16, 0xb7f59c32, 0xe328cabf, 0xcc5841db,
+    0x94e0baee, 0x72978d2c, 0xf8698dc0, 0x6830a192, 0xe9cdb519, 0x8df5a10a, 0xfde79c0d, 0x599b7038,
+    0x38f39bab, 0x63b6352f, 0xdf3a36eb, 0x2ac799ba, 0x6aed1004, 0x79ed578d, 0xfc35eb9e, 0xf4e42696,
+    0xea5a8f21, 0x4f466f1e, 0xc94aae12, 0x2ae8a3a7, 0x8768b919, 0x16f85a78, 0xc2a610e9, 0x0056d59f,
+    0xe170a9ae, 0x17e94861, 0xc1e81733, 0x7daf5fca, 0x56cf1296, 0x77e46ed8, 0x4187109f, 0x9ed86082,
+    0xd4d56ec6, 0xda77fbf5, 0xd8880cdd, 0xf0459f49, 0x9d8aff62, 0xeddc5fad, 0xea6312ca, 0x0a3179f6,
+    0xbe3b3bd2, 0x2a3b660e, 0x3477333c, 0xcfc34640, 0x4bedcadf, 0xdd1b2b43, 0xee3d7b46, 0xe9510bdf,
+    0x3a1ac2ff, 0x009f9587, 0x288d5295, 0xf1829b0c, 0x7e7bfde0, 0xd5dc6d60, 0xc33c7325, 0x385e6980,
+    0x9290af46, 0x0ac15f83, 0xb0d74671, 0x8cee8155, 0xfd32b15a, 0x479a855c, 0xa606ef95, 0x2921e695,
+    0x81368c27, 0x60e4a490, 0x0b08a291, 0x62347f2f, 0x58fb3dfa, 0xf26845bd, 0x7b7be175, 0x43b9f50a,
+    0x905ab25d, 0x7acddc39, 0x33cc62f7, 0x6a99f5e3, 0xa6489de0, 0x00aca885, 0x00cbdb73, 0x23904184,
+    0x3a3c3700, 0x1f10068c, 0x04cd76ae, 0xa831c436, 0xf6c03700, 0x92b016ad, 0x51769a9e, 0xa12d7408,
+    0x54f3eeb3, 0x312cf18e, 0xbd23cdaa, 0x6bf93c39, 0xb7661c73, 0x987f4695, 0x4f315f5a, 0x5f2a51af,
+    0x73cc4335, 0x4c52b032, 0x52e88a92, 0xc62d77de, 0xf1c9f812, 0xf542697f, 0x8d0f73c7, 0x51527fde,
+    0x75de0f55, 0xd2f89c85, 0x3a540ee9, 0x01a5d29f, 0x68ba369e, 0x6b2539de, 0x6778a0ef, 0xca026ed4,
+    0x8464941a, 0x972fba02, 0x281602e2, 0xba8a04e9, 0x221366be, 0x85da119a, 0x27c79f9f, 0xc7c57c04,
+    0x6a1af84e, 0x2bb0540a, 0x57eac631, 0xde63c5a6, 0x1e5793b3, 0xbc392830, 0x2e41fc9a, 0xd9c671b9,
+    0xd423a70d, 0x55044dd8, 0x843a9021, 0x4a7836ac, 0xd19c2834, 0x4b280a48, 0xd762cf56, 0xaf9afb55,
+    0x7bd057d9, 0x8e961e7f, 0x107074b3, 0x6c86a756, 0xa02db8cc, 0x7207341d, 0xced4be4e, 0x3b557ad6,
+    0xddabab2b, 0x2ccaaec1, 0x664e9f6c, 0xf5ab9e90, 0x769cb256, 0xacacea59, 0xebf27ec2, 0xcfc887bb,
+    0x60b0a4c6, 0x3c3022ef, 0x6fd1a847, 0x9afc641e, 0x4f2b8b8f, 0x9931b989, 0xe45903ea, 0xbf0df0ba,
+    0x950bea1d, 0xcbd6b0fa, 0xe5a65ca6, 0x275eabf9, 0x9b20e809, 0xe1ce7a38, 0x89f49654, 0x961ba1bb,
+    0xb30f1126, 0xed9be3ae, 0x8137edd4, 0xe48b46f6, 0xd9ed75a8, 0xc78c957c, 0xaecb8ac9, 0x7b9aea98,
+    0x35f7eddf, 0xa94f724c, 0xf1164241, 0x01eee999, 0x7eed2c71, 0xc2abf749, 0x82af74fd, 0x3bfb713e,
+    0xdbe4b6bf, 0x41ff1ed9, 0xaf676f79, 0x74320db3, 0x3387316e, 0x74b82c98, 0xf9110a69, 0x27c3a89c,
+    0x67cc2024, 0xa4cd7551, 0x961f9c55, 0x0b376448, 0x795aeb15, 0x1d777350, 0x9900082f, 0x008768a2,
+    0xae78d413, 0x0117429d, 0x77097f4c, 0xb5f0bc99, 0x3bc9ca67, 0x64c7f090, 0xb9213898, 0x12d61e9b,
+    0xfab72e30, 0x49d43511, 0x26409592, 0xed8e3668, 0x563b9bb5, 0xd9ef4ccd, 0x900ca093, 0xbcd7af69,
+    0x6405dc16, 0x002754bb, 0x97016518, 0x4bd39138, 0xde0a43b5, 0x02a59ac2, 0xd8ddf6ed, 0x4fd80226,
+    0xb2c26d0b, 0xe8f716b3, 0x7a2dffee, 0x7c9c107a, 0x4a0a22ce, 0x0de914ee, 0xb41df690, 0x0042cd0b,
+    0xfdc43cab, 0x48929024, 0xc12b05f0, 0x09f13ce2, 0x402746e3, 0xf9c04334, 0xf5b74501, 0x2e8c6a18,
+    0x4e3b7670, 0x6e8a1c52, 0x81cb2d46, 0xd2935091, 0xfb218ad3, 0x794b54fb, 0xe2bc4e2d, 0xc5e7fdef,
+    0x757a7f94, 0xca70adfd, 0x67cc2458, 0x453bd474, 0x11ec1718, 0xaedb162f, 0x9ab74bae, 0x5a368b82,
+    0xa816c1a6, 0x61b1dce9, 0x040eb01b, 0x5171b565, 0x5a34579e, 0xea97ad8c, 0xdd4136b0, 0x86eb8d0a,
+    0x23cf52cf, 0xbd802569, 0xfed0c5fc, 0x0add9b42, 0xa795de65, 0x514eabaa, 0xe3da2632, 0xaadb2836,
+    0xa8960f68, 0xccc79a9c, 0xfcfce68d, 0x2df32aef, 0x013d0f80, 0x2e95f2e9, 0x8e44ecdf, 0xe73f791a,
+    0xab0383bf, 0xb9a46532, 0x898f4f07, 0x2e0b4f07, 0x31ca936e, 0x580bdef3, 0x83a7f297, 0xdac01ab8,
+    0xe285ae76, 0x1438cdbd, 0x45907341, 0xa45220e2, 0xffd82c17, 0x6d4a09c7, 0x0001ee2f, 0x52917a31,
+    0x95b42564, 0x7aff62d8, 0x1b934673, 0xa61f3d9d, 0xd88625e0, 0x3b872f9f, 0x936b4ab2, 0x46c376d2,
+    0x05c7fa4b, 0x83af76ef, 0xed5ab33b, 0x0e5438a5, 0x364ec0b0, 0x01a45933, 0x6da73fd4, 0x42fa41b0,
+    0xd2f225c7, 0x167ca390, 0x39899107, 0x627202c4, 0x9d21c71e, 0x6e913948, 0xf9bdf686, 0x42ba5f91,
+    0x11497b17, 0x5658d7c4, 0x88ae71a3, 0xd2fd3ccd, 0x5af38584, 0x6e52f060, 0xa93b3b2c, 0x3278d5a3,
+    0xeec3c591, 0x768c8504, 0x2b0f6a03, 0xc6a732f9, 0x2beff017, 0x9fa8c3c0, 0x20f167a4, 0x83513bed,
+    0x9276c72d, 0x01ed39cf, 0xfde66ef6, 0x39d0ad73, 0x5a578d31, 0xd1395d8d, 0xfa5d1df4, 0x55eab0ff,
+    0xf3cc57d1, 0x35031256, 0x5737b340, 0xbe0aaaac, 0x8f3f229e, 0xba3af9d2, 0x4455eac6, 0x7f65844d,
+    0x93148de4, 0x38a52d40, 0xb6ec5966, 0x6930dbb0, 0xa0b8ecd6, 0x4f95b47c, 0x3db035a7, 0x10c426e1,
+    0x81d2842a, 0xc62697d0, 0xb327b2f7, 0x33b45094, 0xf1e0e215, 0x34237744, 0xf54b0e6b, 0xb2de96df,
+    0x1e72d470, 0x22a09df5, 0xdc9adbbf, 0x02ead350, 0x3493e398, 0x3c842b9c, 0x90cde405, 0x7f407515,
+    0x49357e92, 0x1dff5372, 0x0e8cd0c4, 0xb99425bf, 0x86374de4, 0x98e0c57d, 0xad2764d1, 0xc6cda163,
+    0xdd6e437c, 0x16022285, 0x86356d95, 0xca948081, 0xc8f59106, 0xe69695b5, 0x2e4ddbe9, 0x33c8e5c1,
+    0xb6d9790a, 0x6e890b68, 0xabc9811f, 0x3b59e70a, 0x0e8e5103, 0x0a129ecc, 0xd5c6420f, 0xf1b381b7,
+    0x00097706, 0xbe529dab, 0x2f8ec4af, 0x9f660e5d, 0x94872ae0, 0xe2ed8e97, 0xea9d5ee7, 0xe27373c8,
+    0xdde083ff, 0xf841aa08, 0x775428d0, 0x4cbbfdfc, 0xbae27647, 0x8a108877, 0x6e1efddb, 0x5d6fbf52,
+    0x0df997dc, 0xef978361, 0x5e887e9c, 0xfe1c8d3b, 0xd5e2783c, 0x0dd446b9, 0x9c64863a, 0x5fc201ab,
+    0x6c73d6ce, 0x8dd5ae4a, 0xef139a5c, 0x00b16f3f, 0xf342983b, 0xbabde8d2, 0x5c87d178, 0xe0d8d09a,
+    0x60d4154d, 0xd626979f, 0x8cb78649, 0x6c9008fd, 0xae85409f, 0x69735e33, 0x60530109, 0xfb9b0ad1,
+    0x00000000,
+    0x7d187a61, 0x6e49537f, 0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          28948022309329048855892746252171976963317496166410141009864396001978282409984 */
+  { 0x00000000,
+    0x01f8e2b8, 0x4454db75, 0x4562cfca, 0x715970b5, 0xd0881974, 0xafc0117d, 0x9846ce57, 0x0cc44e66,
+    0x2c41f6fa, 0xfb655a0a, 0x82ba80e1, 0x9941e4e7, 0xa9d2357c, 0x7118790d, 0xa8cc9a35, 0x66cc7743,
+    0x943912bc, 0x612f430e, 0x20efdf1e, 0xa0e5595b, 0x5e643c0f, 0x33e8d3cf, 0x615bac8c, 0x2aa7f145,
+    0xf63e046a, 0xecd76d61, 0x4d8e1e31, 0x5b8db4f4, 0x4931bd29, 0x2ca6b9d1, 0x40fd3160, 0x5d3416f8,
+    0x64869385, 0xdd1f3a11, 0x5eede617, 0xb53d8b5d, 0xf025e657, 0xd5d60b80, 0x7723d2ab, 0xacbe51ce,
+    0x557afe2c, 0x2cfa47b4, 0xdf682618, 0x1f76cd92, 0x75e1102f, 0xc1018c59, 0x15a95149, 0x29f01345,
+    0x626b95d9, 0x5ff1f287, 0x13d224b6, 0xe89fa9e9, 0xfb165d1d, 0x5b966386, 0xfbc4215c, 0x9b4ae9a8,
+    0x45a19f98, 0x40bf7945, 0xedf7d854, 0xc1aaf87e, 0x806a009f, 0x8669c055, 0x9cd38599, 0xe5544636,
+    0x465fd961, 0x7a36abb5, 0xe832250a, 0x0fed652a, 0x174f4950, 0xc33cd49b, 0x2566173b, 0x5f22fe30,
+    0x978d1c87, 0x8cff39df, 0x4e7783ed, 0x8a288626, 0xacb4ebeb, 0x2b27f6f1, 0x6fcabfb8, 0xab2f4739,
+    0x7d5bbef3, 0xfd383c85, 0xfb591145, 0xab2c689e, 0x0d49ddaf, 0x799a2b08, 0x74aee1f0, 0xb6d3abe5,
+    0xafb89ee8, 0x4a2c1f4e, 0x55cfa5b6, 0x10a83deb, 0xb6784938, 0x044a7c86, 0x14ceecd2, 0x9ac9e45e,
+    0x55f87c40, 0xa276396f, 0x74fa04be, 0x51696bb4, 0x876e2aaf, 0x51b7b549, 0x9fa3e1d7, 0xa9576a66,
+    0x8f0b75a7, 0xf128c1f7, 0xc0c39e16, 0xa7aefb90, 0xf37b07e6, 0x4d39fc5a, 0xb9bb761b, 0x902b8f8c,
+    0xdf51f78c, 0xde92c35f, 0x5a126826, 0x889c8c86, 0x91ab5fb0, 0x2a541ef2, 0x0e2ab048, 0x9b42090c,
+    0x436277fc, 0x36a38a23, 0x39b7ba13, 0x9a40b308, 0xa77a15b1, 0xe84f9f9a, 0xe1eaed1f, 0x3efb5813,
+    0x52a19e9c, 0xb1f2e7d0, 0xddd1ad98, 0xaffdb434, 0x7ec8f492, 0x96c08adf, 0xbc5a8722, 0x3c237fc0,
+    0x0f5b15cd, 0xa61b7565, 0x4ffd565c, 0x46b410dc, 0x776ec6a4, 0x3ff4f25b, 0x7cfa9d69, 0xfefb5d48,
+    0x6b793020, 0xa9e23b3b, 0x03f9c4a9, 0x5c0aec6a, 0x9dd7897c, 0x798c4e76, 0x157bdb3a, 0xd5765e9e,
+    0xf40f53e8, 0x4b079889, 0x419f5bb7, 0xbc8fc827, 0xde7d1ce7, 0x2d1981b9, 0x085b626f, 0x61183fe3,
+    0x28826a08, 0x732a4092, 0x1b22c91a, 0x09070ae7, 0x68da4f55, 0xdde66bf8, 0x3bfd7c77, 0x9f7733d4,
+    0x1fff014e, 0x0f0cc3de, 0x400c9678, 0xf17ba3ff, 0xd5ea708f, 0xec969f98, 0x794ca1d0, 0xe9aa05a4,
+    0xfd6af756, 0xebdf08fd, 0xed588a53, 0x7e813baa, 0x79dd959a, 0x31e5e268, 0x2730486c, 0x3a2439ad,
+    0x994246b7, 0x8c6b0222, 0x5dea24a4, 0x5580897c, 0x9d4c13e5, 0x142c2fe2, 0x88af0214, 0xe7e23f55,
+    0x82d7aedb, 0xd15a08ed, 0x875fe965, 0xe14a7b8a, 0x8273228b, 0xd0cc5370, 0x6d7dac6e, 0xbdbbcace,
+    0x5ec40ab0, 0x8aa07a53, 0xd73d338a, 0x25641374, 0x7eebd4c8, 0x924544d4, 0x29c5d537, 0xa213c984,
+    0x915f7416, 0xb30c5e66, 0x5ece8669, 0x54e63e7c, 0xe75b344e, 0x38a6bd34, 0xa2fb9e97, 0xae09c7bf,
+    0x984595c7, 0x238adebd, 0x10d033db, 0x5fa2a550, 0x20f9dbdf, 0xdfbc4333, 0xecc2006f, 0x831e44d2,
+    0xc21b3b79, 0x86e45b94, 0xf294848a, 0x1201bd20, 0x1fe24e96, 0xbfbaec63, 0x80e7bc7e, 0xee667af2,
+    0x0a5eb745, 0x8a631121, 0x9ae4eff9, 0xfa0fbf8a, 0x7fee52d5, 0xd950418e, 0xb0e28b71, 0x1a2836ff,
+    0x438fc5ee, 0x63d05c35, 0x3ef19343, 0x783e342c, 0xcb5a0372, 0xdaaf5df6, 0xdb0a2465, 0x7220b2cf,
+    0x230ad3e8, 0x428e703c, 0xac192b60, 0x6729533a, 0xb4e278cf, 0x37d22964, 0x8932c8f8, 0x2f503181,
+    0x31f2f36a, 0x79b5eb66, 0x06b90060, 0xfcf1ffcf, 0xfd48bd20, 0xbc17ffa6, 0xf4d68516, 0xc04519e0,
+    0xffccd0fc, 0x02bc86ef, 0xae2dc967, 0x0d6fff5e, 0x67d96d56, 0x28a9bb8a, 0x561cf094, 0x40f93fea,
+    0x2f9b95c9, 0x5feab5ab, 0x68ae0153, 0x4170c43f, 0x77ea73b1, 0xea989e96, 0xae4f17f1, 0x0470ce63,
+    0x41fc5eaf, 0x082fcbf7, 0xa961c0f9, 0xf19ce6b5, 0x2bbb8922, 0x62afc50a, 0xe6f54e38, 0x9d4605d1,
+    0x649e5571, 0x4af4bb38, 0xd50602b0, 0xc4694c50, 0x77a755a7, 0x28f72865, 0x197b2f81, 0x118ee58d,
+    0x2a45c6a6, 0x40c1db9e, 0x9a633273, 0x8590084b, 0xbc1fa859, 0x12b24953, 0x969e531a, 0xb9a45cdd,
+    0x5c66344e, 0xd2b7879a, 0x273424d0, 0x3917bbc8, 0xd6664d7d, 0x7c9821b3, 0x4ed0748e, 0x8a234fb6,
+    0x4fb13200, 0x5c8a68a7, 0xfb31fca4, 0x6d295f45, 0x764664a4, 0xc45da298, 0xa4b92af7, 0x558b5fc5,
+    0x7708dc18, 0xb7701039, 0x11f90b50, 0x5a4e3cbe, 0x3c803093, 0x2409cf93, 0x2f22196d, 0xf6c980ee,
+    0x774760ad, 0x6451502d, 0x986d14e1, 0x0b1fc7cb, 0x553fc583, 0x158232cc, 0xa26d1580, 0x99c720c9,
+    0x97803412, 0x34c354c3, 0x7633ce71, 0x946039b0, 0x2ba0ab27, 0xe60b0fa0, 0x69be554f, 0xfd81829e,
+    0xf7ac6380, 0xccf8cc4d, 0x81f1bfcf, 0x91af58e1, 0x24114791, 0x16c3693a, 0x62c01a56, 0xf4d8525c,
+    0x655c53b3, 0xaeed8809, 0x8f5f10f8, 0xe585f175, 0x4129a3a9, 0xcad191ff, 0x761976a0, 0xbde43666,
+    0xe145dbe5, 0xf587d744, 0x0924c46c, 0xd12d7b26, 0x1065c797, 0xc7e0b6e8, 0xe6811619, 0x422e5f3e,
+    0xe8e43620, 0xdc2f7a1e, 0x8984a334, 0x089b0111, 0xeda782d1, 0x533258f5, 0x90e10dff, 0x2b6d4696,
+    0x1dce1bb4, 0x8ae10230, 0x99d3f28c, 0x94fc6ff8, 0x78ab8ed6, 0x63a559cc, 0x039a9b38, 0x8da2e09e,
+    0xae68de0f, 0xfd3ce2c2, 0xcb56b687, 0xb449a768, 0xe6b7475a, 0xe9320327, 0x6ab37413, 0x86b1b58f,
+    0x5394d938, 0x3945e9f5, 0xea3240c5, 0xc8bd2c0a, 0x99dfb61a, 0x3d4dc8cc, 0xe7da722e, 0x76169197,
+    0xe5b348e7, 0x3b2a563b, 0xfc741a55, 0x738230d1, 0x2b08c694, 0xedc951d5, 0xa8e90165, 0xc6bb1bbd,
+    0x76a6355f, 0xbeed1aa0, 0x9f1315bb, 0x27ba1143, 0xf10ab78f, 0x53d80b3c, 0x2aebd066, 0xfd309301,
+    0x0af3f3ff, 0x81143aca, 0xe7f27835, 0xc59f822b, 0xeaf03868, 0x521ceec4, 0x45c01b28, 0xed7dd817,
+    0x462c7ca3, 0x549d208d, 0x6d7e8410, 0xf2af4744, 0x5a28b7c2, 0x8aa8b2c1, 0xfa52d4d7, 0x03dcd2dd,
+    0xab26a7b2, 0x6cef5b5b, 0x4c2d97e0, 0xe4df6399, 0x0c5dfedc, 0xc0aaeb95, 0xaee7f886, 0xd3f6e603,
+    0x344ae7f6, 0x6c569da7, 0x771eacfa, 0x536d5ab1, 0x902f792b, 0xa840c3a3, 0xfd437271, 0x5c812a9e,
+    0x31d483be, 0x95564f06, 0x46617c51, 0xffec4473, 0x9779dab5, 0x4f86c065, 0x38d3d50d, 0x86ac8a7e,
+    0x09fab4f0, 0x24c6cb71, 0x8c27cbbc, 0xf7df2b6e, 0x1643d5be, 0x17cf0375, 0xf2e25574, 0x8d559a1e,
+    0xec56fe3f, 0xd74de39e, 0x39b8b782, 0x2a41ff6b, 0x9afc0b96, 0xf0f012fd, 0x04f55340, 0x3ddce880,
+    0x02b038e1, 0x52e45f5b, 0x09731a13, 0x9c4c5449, 0x90712a1b, 0xf84033f3, 0x414e4393, 0x9558c5f9,
+    0xb48f7c8d, 0x9e532682, 0x168bf84d, 0x0fb7ce76, 0x88e30657, 0x0264cd38, 0xe9e05db2, 0xfd4eb070,
+    0x82dc1d3e, 0x1ea6fbdf, 0x99a1a03e, 0x23e7a211, 0x1e97124e, 0xde4da51a, 0xd0237c38, 0x9d0dbe13,
+    0x98aacdef, 0x14e1ef31, 0xbd4dac7f, 0x1662f989, 0xebade36d, 0xd1521ac1, 0xff93ee9b, 0x3e222f01,
+    0xc5b01567, 0xd8b38b50, 0x1e9b6f86, 0x4987c880, 0x26050c85, 0x59097cbd, 0xd60ab28a, 0x35bfed15,
+    0x089bf62b, 0x7875a7d0, 0xaa56c162, 0x2795ff55, 0x9f97a0bc, 0xa380c62e, 0x635f31b8, 0x48308d0f,
+    0xa6baa942, 0x3e7aae04, 0x12a7015e, 0x7eae9081, 0x82ecc60d, 0x9536037e, 0xee1a26a5, 0x181f3390,
+    0xeafa8718, 0xfc0b361e, 0x64693e46, 0x568c2b82, 0xe7dab6b5, 0x9e63362b, 0x9f34d2ac, 0x2c6729bd,
+    0xb2bce55e, 0x4254dc56, 0xfae85932, 0xd2c4e03d, 0xd964b39c, 0xe032a5bc, 0xeccdba5e, 0x7e54c6ff,
+    0xfa98da56, 0x5c5b1eef, 0x2de80d93, 0xf647222a, 0x9bf60cb6, 0x01965156, 0xd973376d, 0x4b22cb97,
+    0x13a47c51, 0x6613c87b, 0xefb839cf, 0x7772a627, 0xf8d9ed0d, 0xe447c3c6, 0x2eebb807, 0x66af108f,
+    0xd1910256, 0x7996d6d6, 0x174eab4a, 0x8d82a7c9, 0xa8ee04d5, 0x42f6968e, 0x51e69cf2, 0xf8ffe685,
+    0x6476d857, 0x18661c63, 0x609bdac3, 0xbddd3d41, 0x957c44dd, 0x10b808e6, 0x4c18a7b0, 0xeb65e2f0,
+    0x091fe2cb, 0x72144c2c, 0xdcd842ac, 0xe4496670, 0x9f1168c4, 0x7fe2d3ab, 0xb8438c48, 0x08c2570e,
+    0x72ec6bab, 0x2f491ba1, 0xc85b4d97, 0x0204c4b7, 0x38c304ba, 0x1b75af36, 0x38473204, 0xfbe6be2b,
+    0xae72eac8, 0x3ecdaeb3, 0x63487db9, 0x8bb07578, 0x3fffdd3a, 0xd50008f3, 0x77707e6b, 0x6e5da6bc,
+    0xee15810d, 0x94da2ce1, 0x7e1cb557, 0x10f4d2ad, 0xffd8df91, 0x1a79ca0b, 0x77f64450, 0x5324fb8d,
+    0x71cd9e52, 0xc883094a, 0x62fb5883, 0x7b9c85f7, 0x850a38db, 0x27b5ed4a, 0x25decaad, 0xb2486f73,
+    0x647ffbbc, 0x1478b526, 0x1dca8fcf, 0xdd8ce086, 0x562ea7da, 0x417f98bf, 0xb07b8fcb, 0x0e191b4b,
+    0x7ed0aa62, 0xf1d84f69, 0x5f06653e, 0x82ae3200, 0x1f545cb2, 0xdcef2f8e, 0xd14786f1, 0x30395ca6,
+    0x1fbc526d, 0x2d7e303b, 0x8207805f, 0x9545ff38, 0xd9818281, 0x9be799fc, 0xec28db2e, 0x3713bde4,
+    0xeb4354a0, 0x0175f3c7, 0xe1188a53, 0xef1e08bb, 0x01180b5a, 0x885c8b7e, 0x584d174b, 0x9360b509,
+    0x14f44aac, 0xcb1c8195, 0x040d3040, 0x8a83a956, 0x8168bc7b, 0xd75f6fda, 0xed3a3b4d, 0xb184c5e4,
+    0xb3e26704, 0x144b8590, 0x989733a5, 0x3442c25e, 0x7ab68c37, 0xcb527768, 0xb620a63e, 0x0948296d,
+    0x29fb0d53, 0xb5e089ec, 0xe470fbbe, 0x6a4268a7, 0x48fe09f6, 0x7fbd3dfe, 0x5a1764a9, 0xae9eb177,
+    0x8f86d24a, 0xb6e08f3b, 0xe0835823, 0xe0d225f6, 0xe5d9f978, 0xc4db5251, 0x270a4bee, 0x158e98f6,
+    0xf23e1741, 0x9f73d867, 0x10722cea, 0xe500f5a9, 0x73873455, 0x2e580dda, 0xe5b7931e, 0x9c699514,
+    0x93aa50a6, 0xac315f74, 0x24ecd92e, 0x7cde9906, 0x1b26432e, 0x1329a068, 0x439f4105, 0x89e87696,
+    0xec9eeb72, 0xbf81d4ba, 0xee893325, 0x1ddf87d9, 0x914250db, 0x573dd502, 0xe479db40, 0xe4b51c4a,
+    0x70e76701, 0xf1b31e0e, 0x011e2748, 0x91b8e505, 0x309fe58c, 0xebcebdc6, 0x45d5553f, 0x6bc1059f,
+    0xecc59663, 0x35865e33, 0x1ac6e801, 0x4d841a14, 0x39b30baa, 0xdfbf46ae, 0x34405f16, 0xa333ca92,
+    0xe13155d5, 0xcfd70fc1, 0x31b0760d, 0xebeb5750, 0x06b51fec, 0xa19b8ab1, 0xada2cdda, 0x9f765f79,
+    0x700b6bfd, 0x2d678be1, 0x7f43106b, 0xca219825, 0xc1333bf3, 0x8596c018, 0x5f9da43d, 0x7b9dacf1,
+    0x4941903f, 0x1ba8c1e8, 0x1feabd5f, 0x21f1c493, 0x4f41b199, 0xe5687021, 0xd463d629, 0x3f3810f5,
+    0xf30cd085, 0x9b3ca6e3, 0x42f93d5e, 0x0e3c02a3, 0x0ea3b73e, 0x9cf992e5, 0x48e38b85, 0xb81930f8,
+    0x4807846e, 0x7248f8dc, 0xe2e5d830, 0x1dcc4379, 0x25dea1d4, 0x4c571bed, 0x5f46eb66, 0xff4a78b5,
+    0x54896e10, 0x69d427c8, 0xd40c664d, 0x13fd5d8b, 0x85dda149, 0xbcbf9a24, 0xfb86e760, 0x8b1db1e2,
+    0xf1eb3676, 0x37af39cc, 0x2d88ca7d, 0x214e5322, 0x63f9ff46, 0xd691090a, 0x35e5ebca, 0x22b26465,
+    0xe24fab0e, 0xfb8d00b6, 0x1af6568c, 0x5bf53d3f, 0x657025ee, 0x2fd14ccc, 0x347ef46c, 0x26002ef4,
+    0x94ea6a6f, 0x77ed0c99, 0x7a79847f, 0xcaa29fd1, 0x59e3098b, 0x306f30ae, 0x966cad15, 0xbdbe2b9c,
+    0x57d073c3, 0xcd8c3c3b, 0xe5e865d9, 0x89a67f48, 0xfa7a6baa, 0x4df99968, 0x0fd7df23, 0x0f7019cb,
+    0x5ac4bf38, 0x53b4acaa, 0xf032c971, 0xe0b39ea1, 0x9648323f, 0x18d919c4, 0x2d8f4a15, 0x12531a1b,
+    0xda7f187b, 0x1ac0c905, 0xecd4b5bb, 0xa8704853, 0xb36a63a0, 0x38ffe894, 0xc8df2553, 0x3d514bac,
+    0x2fd6181e, 0x79ad8680, 0x79916791, 0x4ea195c2, 0x0dfe8593, 0xc40f7386, 0x7e680768, 0xe9eabdf4,
+    0x8b02ec22, 0x80650f65, 0x98cd4ae2, 0x60777df2, 0xb58351e4, 0x1ec9c60d, 0x4ffe02c8, 0x9a94dda2,
+    0xe1ac388f, 0x5ca1189a, 0xbd4bccff, 0x2bface7c, 0xaaf923b3, 0xc51c8c50, 0x4024600b, 0xc4f0c5f2,
+    0x765332ee, 0xf873dafc, 0xc6ae9147, 0x218fb633, 0xe9aaa5fb, 0x66e91fbd, 0x582298ef, 0x33afa001,
+    0x2d153888, 0x268dbb7c, 0xe3e3b21c, 0x1dc34895, 0x70520e7f, 0xa4829b45, 0x46627227, 0xba5b8307,
+    0xdb84059d, 0x3a0374b0, 0x79986f8d, 0x5c0fc5a1, 0x2fdab32f, 0x41d535a3, 0xefe2ed7c, 0x6137b9c2,
+    0xd94c311c, 0xd55c9c9c, 0xc967fd58, 0x499f5511, 0xd22d4dfd, 0xf544e426, 0x1c36af1c, 0xd2fefd53,
+    0x9134249e, 0xaac284ba, 0x29b49142, 0xf50f3938, 0x266e66cb, 0xba5f02d3, 0x208b5c1f, 0xdaf43ae8,
+    0x2f2aa8e4, 0x5e659467, 0xbf883f0b, 0xfdc8318e, 0x5b77f971, 0xd06d2dfd, 0xf05cc2d8, 0x35a60156,
+    0xe541dc7b, 0x42f78dcb, 0x46df8995, 0xae4c1ea6, 0xaadb0d3a, 0xb05b274a, 0x2c70bcf2, 0xe35ac538,
+    0xe16274e6, 0xa986c11a, 0x4d1e38c2, 0x030ce17b, 0x20d02252, 0x8393c51a, 0x28f71f39, 0xc0c44cff,
+    0x5f52bb79, 0x0c8a1bf4, 0x37ad1c9c, 0xf19a7d29, 0x368b8166, 0xb33c0870, 0x4b234aae, 0xae0639af,
+    0x91f285db, 0x11d04504, 0x81006d98, 0x81599a05, 0xf50ce17f, 0x7a1f29ca, 0xf86328f0, 0x65a964d0,
+    0xbd0a1cb0, 0x7e035ad1, 0x3836463f, 0xdf834d9c, 0x0b19df16, 0xdce97f03, 0x8975d064, 0xca4b082d,
+    0xe2f52187, 0xfe683cfc, 0x05571c63, 0xfedc01b3, 0xec766aa0, 0x2cc303ba, 0xd00676b2, 0xeed05a17,
+    0xd19a9fa5, 0x43be1f40, 0x4a77b2e1, 0x92be69a4, 0x6c2d24cf, 0x344cfa71, 0x491e43df, 0xf2182358,
+    0x49a716cf, 0x07c65fff, 0xc915bf18, 0x7adef1fc, 0xb6526ecf, 0xb0c32f36, 0x98a9b399, 0xbb9ef262,
+    0x5224e6cb, 0xedb52784, 0xbfd95182, 0x5d7a05f6, 0xe9ccb423, 0x0a942a23, 0xcac20368, 0x6f0f3141,
+    0x11ced939, 0x86419ea8, 0x17105ef6, 0x3a954e3b, 0x6ed905f8, 0x31c4a0ca, 0xac52c010, 0x643bb4b1,
+    0x5d8a72bb, 0xe6c90d84, 0xf8cabdc3, 0x673fb033, 0xf6e3a746, 0xdfb6496e, 0xcc970c4d, 0x4d8ebbe4,
+    0xa5f41240, 0xe63b5cfa, 0x80c0f7e3, 0x6b759420, 0x3de709d7, 0x6cc63529, 0xb8ee1ab4, 0xe17a3f2d,
+    0x7e88151a, 0xf03daa7d, 0xb29bbaaf, 0x5a7d4583, 0xd9a89a63, 0x16396616, 0x0a629462, 0xcdd3763c,
+    0x68193778, 0x3d94d671, 0xcd0cfb97, 0xdb12d28f, 0x411ab03e, 0xf514f1cf, 0x0ebf900e, 0x58091356,
+    0x10a1ab91, 0xa68d336e, 0xd4d78248, 0xc019d9f3, 0x2b0923e0, 0x55a9dc9f, 0x24a0ae14, 0xb3757eea,
+    0x00000000,
+    0xbe8c3d30, 0xb724a9bf, 0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          14474011154664524427946373126085988481658748083205070504932198000989141204992 */
+  { 0x00000000,
+    0x806b6111, 0xc113dd75, 0x53f2a275, 0xd0ac8291, 0xb8a270a8, 0xd6f20b32, 0xecaa8427, 0xead78951,
+    0x94e0ddf8, 0x83520d75, 0x0a0ebae9, 0x719d1baa, 0x9e416e1a, 0xd6e402a4, 0xa6359371, 0x560106d2,
+    0xf4270a8a, 0x6f319bf3, 0xa984c843, 0xb90d0232, 0xca65b5af, 0x6fc2d6a8, 0xde2f53ef, 0x42db5471,
+    0xf00c5a8a, 0x470b1780, 0x3afd088f, 0xfc48a4f0, 0x1c94a363, 0x4ca1c48b, 0x3e9d76d6, 0x0f760129,
+    0x67c14ce5, 0xe37713f3, 0xe4d30f5f, 0xaa2a4a96, 0x9897cc16, 0x913adf19, 0x0eba23e3, 0x3d79fc81,
+    0xf9d4ac0f, 0x27f29f27, 0xa15426e2, 0x21a1630d, 0x2e4c3bb8, 0x4bb8b079, 0xcfd05c22, 0x39838c13,
+    0xae209c3a, 0xc88634bd, 0x3d38653e, 0xbcfe6c8d, 0x5dfb2cc5, 0x9f1d0f72, 0x7c633796, 0x31dd6c92,
+    0x014012fe, 0xd98520f7, 0x49d8f8ae, 0xd3abd910, 0x48d8abfe, 0xb384a8bc, 0xad3d469e, 0xe321fe94,
+    0x060e8d25, 0x1372e3f1, 0xe6230d2a, 0xfc29e094, 0xc5d8d9d9, 0xbac7169b, 0xa0874628, 0x14d9b6e1,
+    0x6d3dc4d0, 0x0362666d, 0x506ce732, 0x8f2f5fa6, 0xd31ca3cd, 0x8f91300b, 0xeeb3db2c, 0x85c44256,
+    0xf02483ed, 0x51492b05, 0x0017f360, 0xc0e739fa, 0xa831b144, 0x1bd17f87, 0xc1ec086b, 0x879107fe,
+    0xa0e198e6, 0xf5ae213a, 0x1b0e9c17, 0xf8566623, 0x52c0686b, 0x4cc20d4b, 0x068b9715, 0x980f9826,
+    0x667a8ed4, 0x57a2162f, 0x7a4e565c, 0x719f85e5, 0xd4af5c2e, 0x1c341395, 0x4b1b3b1d, 0x4f93ab3c,
+    0xc11319b8, 0x5b8d672f, 0xed1dd082, 0xee87972b, 0x14014bea, 0x4fbf9ee1, 0x4ca5fbfe, 0xfb092396,
+    0x9e33f4f7, 0x871a183f, 0x2d2c1570, 0x15c48873, 0x3de5865b, 0xfe6377a3, 0xae874847, 0x5ad8c580,
+    0x4c4b8d13, 0x07d4691a, 0x045a9699, 0xb4d75ba6, 0xb82fc3ee, 0x088ecbeb, 0x4078e1e0, 0xebe90c9a,
+    0x736fded3, 0xda18b663, 0xefef5f4f, 0xb2ed0960, 0x422abfdb, 0xde9b6d76, 0x35d48262, 0xf0484f22,
+    0xa11ea540, 0x2d05c046, 0x6133b627, 0xd95c27c4, 0x5894132d, 0xa5078841, 0x16cabf33, 0x23415f2b,
+    0xef944184, 0xda900fde, 0x62e0a51a, 0x8cdd6c6e, 0xd55b7f10, 0x69e4ff15, 0x1af5e85d, 0x418f3a83,
+    0xa6f58017, 0x730d1b53, 0x5e0aa29c, 0x0064a0d1, 0x9325b43b, 0xf3bed84c, 0x3c4b5e7f, 0x9ac51e11,
+    0x97d84b2a, 0x727055b1, 0x16011a04, 0xfc56ec6d, 0x23905eaa, 0x038d6a9f, 0x64f6329c, 0xf695e543,
+    0xa023a5ba, 0x44c61751, 0x5d2cc09f, 0x91d9cdfb, 0xe5fdfd8c, 0x0f713159, 0x231d4698, 0x758b4d74,
+    0x1eb53086, 0x1ea53d68, 0xb13c3e52, 0x8fd036a5, 0xebc376ba, 0x6ae482d6, 0xfd8c05f8, 0x11f877dd,
+    0x0ecc119b, 0xa051b202, 0xa91162ed, 0x1f02b783, 0x666e309d, 0x977e737b, 0x9d08ac69, 0x4783e96e,
+    0xceb19a73, 0xe7e4328a, 0x901e5e93, 0xec8e08fa, 0x0513510e, 0x721e794d, 0xb35385ad, 0x2503b7cc,
+    0xa310017a, 0xe4526a13, 0x17983a4d, 0x2cdcb90f, 0x39be3c66, 0x78cb6943, 0x292883e2, 0x813b88c6,
+    0xdcf88188, 0xa2bb174e, 0x70ec9f8f, 0x85139328, 0x94ec57a6, 0x65ccafc4, 0x15e4348c, 0x089aae19,
+    0xbd18b780, 0x4225670a, 0x5a22304a, 0x0d0e99dc, 0x769f7d9b, 0xf05dafae, 0x130b043c, 0x8f2828ae,
+    0xda367520, 0xab000aec, 0x2cc610ce, 0x745503c9, 0xe7eeea49, 0xab7f3993, 0x068ed8f1, 0xe42ba56d,
+    0x08a3a50d, 0xa9bcae8d, 0x50185fde, 0xc9a13ca6, 0x495a7053, 0x69844e69, 0x51f1054a, 0x9be9a49b,
+    0xb03a8c69, 0x6955274a, 0xb7943447, 0x811f5213, 0x4cfc1936, 0x3b6cb274, 0xddf9c5e9, 0x9891fc1e,
+    0xea8f05ec, 0x83eb0659, 0x0a1edc8a, 0x12722889, 0xe29839e4, 0x107e3be1, 0xc072d5fe, 0x42bce715,
+    0x979ccfde, 0xc656a3bb, 0x0ee9e8e3, 0x6a6beed1, 0x7f80ea7f, 0x0d83ba25, 0x9ad387d7, 0x081d9af4,
+    0x9ebc579c, 0x1c643587, 0x5da0a5bd, 0xacb95cce, 0x656bb99d, 0xe773d0a0, 0x3a3f2840, 0x2b5043e3,
+    0x1a68367b, 0xa525c517, 0x1a25661b, 0xbff7c74e, 0x861e4d5a, 0x7b95a8e7, 0xa1182d57, 0x8c4e7e74,
+    0x81a16493, 0x4d07b47a, 0x507fe1ac, 0xb1956e50, 0x9e7dec28, 0xd9db2cca, 0x0d88c001, 0xd2f1b60b,
+    0x04a94d53, 0xbddb1fa5, 0xc5d85860, 0xd522f4cb, 0x40125111, 0xbc13ba9b, 0x7aa008dc, 0xe68480bb,
+    0xe76a8bef, 0xd7abca0f, 0xacbb355b, 0xc0a0476e, 0x6d34dfae, 0x9502a75e, 0xfbb05a13, 0xbedeb01d,
+    0x1c8fdad4, 0xec7c2200, 0x07568f7d, 0x105d70a8, 0x90d23946, 0xa51157d5, 0xb1394560, 0x527af9d1,
+    0xc818e6ab, 0x00fe7470, 0xe882652b, 0x559b6c9e, 0xd4653934, 0x8c4c20a5, 0xa3569827, 0x0aeff060,
+    0x81e38885, 0xd8127dae, 0x6f9f327f, 0xdb62879e, 0xeaf98190, 0x75b8ae11, 0xb238abb1, 0x75c81713,
+    0x38534be5, 0xc958afad, 0x365dcf87, 0xdc17baea, 0xe7a469b6, 0xca17113c, 0x2d71a649, 0xc6f0a218,
+    0x914bfc41, 0x5faca681, 0x3a39581e, 0xe015e95b, 0x517a6110, 0xcdf2b8d2, 0x05bbe2d0, 0x8f7a2e86,
+    0x72d1e2cc, 0x7851f8f2, 0x060feb9a, 0xbb5b9f3d, 0xe0a81058, 0xe281c7ee, 0x97d6c6a7, 0x48d2630a,
+    0x24ea416c, 0x268d7321, 0xf0d9619e, 0x68ecca7c, 0x5fd30974, 0xd8b29dd8, 0xe9320cb2, 0x6345e9ac,
+    0x946ceab2, 0x21f9cde9, 0xb992e38a, 0x361f1984, 0xdc00aea7, 0x8a92ed0d, 0x1ff6d736, 0x94910e11,
+    0x08c33b9a, 0xaf81f6df, 0xf4766ffd, 0xe8488457, 0x68787aaf, 0x2e14cd2d, 0x5618e1af, 0xaf87e806,
+    0x41095ebf, 0xa631028d, 0x8a927762, 0xc9ed3619, 0x965a4b4d, 0x6fd9e5eb, 0x1aa77505, 0x013b24e5,
+    0x1f011263, 0xd3bf54e6, 0x209f4100, 0xb36bbd65, 0xb2329d92, 0x9bc09ef9, 0x89bfe36a, 0x69cf9713,
+    0x1ce89177, 0x31e3a085, 0xf58d57c7, 0x2fb94db7, 0xb98f36e2, 0x6b0788c4, 0x9f16bb7a, 0x528838c8,
+    0x01a15f98, 0xe4b95c4c, 0x68ea1131, 0xe88b3e01, 0xa4af85d8, 0xfea1a62d, 0xf89ee1f7, 0xc1588bc6,
+    0xbc5a7c9b, 0x8772b695, 0xcc175775, 0x397e0de4, 0x4168ec6a, 0x87a6abf5, 0xf705f7e3, 0x8fb0dd5d,
+    0x01a1f302, 0xfe1b3c5b, 0x4bc8e8a7, 0x167836e4, 0x48d2d26a, 0xed024cba, 0x50006f05, 0x844672c8,
+    0x057a9c50, 0x72f40cdd, 0xb1ae4abf, 0x6393b5e6, 0x0bc3e301, 0xa560b60a, 0x1332a6e1, 0xaef7bd94,
+    0xbfd18848, 0xf19ca080, 0xb993674b, 0x957efd7b, 0x1fdd619f, 0x97482ac5, 0x49f10e60, 0x783d2dab,
+    0x97dc8dca, 0xdb77ef88, 0xa0eddc63, 0x98af39e2, 0x9602e9c8, 0xd7e19f6a, 0x44febb00, 0xf983951b,
+    0x58fb3368, 0xaa5a2986, 0xc24d32b9, 0x511abafb, 0xa09a5ef6, 0xffeeacda, 0x6beb8b13, 0x34b29438,
+    0xaeee1ea3, 0x02afd40a, 0x6a8289a5, 0xa5a3cd12, 0xa8511bad, 0xd18a13b0, 0x3fb54415, 0x945a91c2,
+    0x8765378a, 0xb393da87, 0x95769e3f, 0xbf3223ac, 0x989a67f9, 0xf6762aef, 0xdfea183e, 0xc90567dc,
+    0x668050b6, 0x33b6774e, 0x3edc005e, 0xb717394c, 0x1ae79327, 0xbee37022, 0xa9b9b910, 0x4ec19270,
+    0x0b76ce6f, 0xea8a9ff0, 0x9f8c1b7f, 0x2b3b3c1d, 0xd4b661c4, 0xb5600804, 0xa41128a1, 0x3a07b5b6,
+    0x5c27b4a3, 0xc5a229c8, 0x253c2322, 0xe60c7168, 0x443b6102, 0x5f454497, 0x1a9518ac, 0xffcd2b84,
+    0xa3a0ac9d, 0xb38cf292, 0xb7458376, 0xc073e8af, 0x5744cfac, 0x36b4bd7b, 0x7268076f, 0xb83c6782,
+    0x86f96b59, 0x5ebc9077, 0x93fadb1f, 0x57a9c409, 0xf2c15c23, 0xa7e82f97, 0x1c6d87d4, 0xf5cf0504,
+    0x4f326460, 0x5b8eef02, 0xc957ee91, 0x1c03b44b, 0x29cf026b, 0x685b20ad, 0xd9d122be, 0x77492870,
+    0x0dd09b6d, 0xb4ed136f, 0xb1307ce7, 0x2fe6c102, 0x1ea0dcec, 0x4cecd4a7, 0xd874d292, 0x646dab75,
+    0xb41b61b0, 0x58894da1, 0x966a1e79, 0xe4e4f1f6, 0x3daa8327, 0x7ceed1bc, 0x5f514ad9, 0x8b117747,
+    0x1bc75e0b, 0x3d4429d3, 0x8b1b03e4, 0x168f8986, 0x3fd267ee, 0x95f4f653, 0xa158fd36, 0x7a1e544b,
+    0xc1182ee8, 0x8f20b6f8, 0x8f882c9e, 0x80354cd0, 0x84db2ec2, 0x43a7c627, 0x25b44e98, 0x2ffccdff,
+    0x2051486d, 0xc1d72337, 0x5e7d98f6, 0x85d8ebf7, 0x37723f5a, 0xf0cd274b, 0x787f8bc8, 0x8172f0c6,
+    0x5043144e, 0x30e33d5b, 0x513161af, 0x5bc57d15, 0xda53059a, 0x09fea654, 0x29506d4e, 0x056b25fa,
+    0xad55ea92, 0xa6d6c3e8, 0x083c62b0, 0x9df55ffb, 0xe346a979, 0x7e67c1f1, 0x88167176, 0xc0a385c7,
+    0x0c30d677, 0x6e476e79, 0xc787a886, 0x2c23b36f, 0x553dce61, 0x17e0eca7, 0x0e8733d6, 0x33be61e5,
+    0x1df7e8e7, 0xe44c640c, 0x5b99afd1, 0x2c05f79f, 0x7c905e83, 0x04b8d333, 0x57660ad2, 0x1cf7e61a,
+    0xd8b931df, 0x895c7a34, 0xe2a54046, 0xb2c87428, 0xde6dd5fc, 0x8a3510f3, 0x8e39fa59, 0x0765dc20,
+    0x09e92ea7, 0xa0ffba6a, 0x11d89aca, 0xbad45222, 0x8f06aa9a, 0xd46fc499, 0x8a0b2a6f, 0xad27796c,
+    0x197db9c4, 0xf0136f55, 0x73eb479c, 0x8a464f32, 0xbc401fa6, 0xe1b70895, 0xe7eee383, 0x80310ad0,
+    0x8e551a49, 0xc0ec58be, 0x7bb89f85, 0xd8e3e214, 0xac6245fd, 0x02dbd385, 0x9183c24f, 0xb4a3efc5,
+    0xb1b5e88b, 0x1035559c, 0xefbd0632, 0xa8aea992, 0xfe367e60, 0x7a1ade49, 0x50b1349e, 0x149bcba6,
+    0x68094343, 0x4b90dc4f, 0x21910266, 0x19db82be, 0xbfd2dabd, 0x14c0c816, 0xec89eb3f, 0x48b34e7c,
+    0x5e96da6a, 0x63722858, 0x1f60ef36, 0x628cda1c, 0x3a149e0f, 0xdc7124f6, 0x332b2ccf, 0xc469ccd3,
+    0xd1d2a26c, 0x2e806a80, 0xe65762b8, 0x1b968c88, 0x97813377, 0xa8d86582, 0x6df99648, 0x6776af70,
+    0x41137948, 0xa872ef59, 0x09382a9b, 0xacbb0ece, 0xc1cec0bb, 0x3445215b, 0x8c458c36, 0xb7b183cd,
+    0xc5919e0e, 0x3b03e6ae, 0x52b964ce, 0x2821bca3, 0x36fbe0da, 0xefe89db6, 0x765a4985, 0x922696e8,
+    0xb145de0b, 0x0ed50466, 0xcb34cb3c, 0x90565fbf, 0xa588580b, 0x1eb45f43, 0x9acf6b7a, 0xb58fe847,
+    0x25e12e4f, 0x5ba31b63, 0x8eb5719f, 0x321c55ce, 0x005e7e2e, 0xb2f4d2ef, 0x6d5dbb75, 0x248d5417,
+    0x5685f554, 0xeefb6147, 0x8cfb7a09, 0xdf3f6641, 0x6213e56d, 0x1450b6c9, 0x06be7b84, 0x52fdf574,
+    0xdba25fd7, 0xf854b5e9, 0xd06c5f4f, 0x740ae072, 0x571c7700, 0x205c41a0, 0xa16f99db, 0x250980ee,
+    0x1b3cf626, 0xdd72be7f, 0x3c42cb4f, 0x048a5ed5, 0x4715ac82, 0xba63b44f, 0xa9b1b436, 0x6731a4b7,
+    0x50c735e2, 0xa71b2187, 0x3ed44d40, 0xe526992b, 0x15087397, 0xdc7f96ee, 0x06492a36, 0x7effdc27,
+    0x2572563c, 0x26f04b93, 0xe16cfba2, 0x7165418a, 0x2627b56c, 0x82b609a5, 0x5aee5469, 0x64dc2b0a,
+    0x6bf4c83f, 0x06a9f53c, 0xf3d50096, 0x72d281c4, 0x99b80463, 0x8b5b3854, 0x33ccd46a, 0x266c0824,
+    0x0d4c3430, 0x4e4490da, 0x40f9b708, 0x79eae559, 0xf5c084c9, 0xab3cfa82, 0xde9f938f, 0x94030e41,
+    0x5719e749, 0xac265336, 0xad501bfb, 0x50594a28, 0x172a833f, 0xcce57223, 0xdd01b840, 0x1c8307ff,
+    0x523d6bce, 0x56954f77, 0x45dc3df8, 0x53408a41, 0x4a772e8e, 0x7a3f75c3, 0x7988be0b, 0x3b744dac,
+    0xfc523666, 0xcbcd5674, 0xf5ea2153, 0x93190519, 0x8e49eb25, 0x3879eb49, 0x71a43d96, 0x47b9d162,
+    0xfbe8d439, 0x8e568a6c, 0xf7f547ed, 0x0cda14d2, 0xf102ea65, 0x948eb2ab, 0xf33b8f2e, 0xb7b79d47,
+    0x800ce887, 0x3c39b100, 0x492249cf, 0xdada0622, 0xb1574828, 0xe5a6f13c, 0xe5945869, 0xcc5b8fa7,
+    0xef3950c8, 0x290ace20, 0xf1f0129d, 0x5d738e0b, 0x61a8afc0, 0x0237f40d, 0x51a20f29, 0xf32c87c1,
+    0x65f77828, 0xcf2bb950, 0xfa5a95af, 0x501889c5, 0x858be319, 0xbed5847a, 0x72cce2ed, 0x50a43f59,
+    0xa19bca0f, 0x7042bfbc, 0x2945c072, 0x1f608e56, 0xd2c18c16, 0xd75728e4, 0x7452245b, 0xecd4eae3,
+    0xd3108d6e, 0x9b5224cf, 0x795ad2f0, 0xe4883ee1, 0x1c91bd69, 0xd6fdd476, 0xcf8aec67, 0xd4c13cb3,
+    0xee6874d6, 0x8fab1792, 0xd27cc8e4, 0xdc9bd845, 0xdde6f407, 0x4db0e579, 0x79f93df0, 0xc3c3d750,
+    0x13330565, 0xd5662598, 0xc8ee557d, 0xd2e063c1, 0x8c64709e, 0xf610d255, 0x61482bc7, 0xe64ddbfc,
+    0x1e65b6d8, 0x2d9f3535, 0x193821bc, 0x006540bd, 0xc0496fcd, 0xbb665e17, 0x6d640fed, 0x4abec1ac,
+    0xce65e9fb, 0xfe0e2887, 0xe303e2f4, 0xb903e5c4, 0x568bf7c1, 0x33c32e91, 0x14bb91dc, 0x776f660e,
+    0xbb64274d, 0xd5b4522e, 0xec6cd0da, 0xe122e9da, 0x4e941c8f, 0xa07f987f, 0x27e74f64, 0x457d641c,
+    0x0c455eb8, 0x349a9857, 0x351a55c4, 0x1e11bb3d, 0xe0a8256a, 0x5815ac07, 0xf0bceaee, 0xd48f5f5e,
+    0xed829d99, 0x3d6a77b5, 0x00fc2550, 0x36bf750d, 0xccff4bc7, 0xd819b25b, 0xfab16465, 0xdd4d61c2,
+    0x6aa64e4d, 0xcc2fc87e, 0x3f41fa07, 0xb7ec16d4, 0xc02a0930, 0x7b6edabb, 0xf88bbfc9, 0x1b1cc85f,
+    0x498df7ba, 0xe6f97a8c, 0xaeedc14b, 0x2cb708d5, 0x2a94c48d, 0xa1c416ed, 0xb96370e2, 0xfebb7804,
+    0xde0478f3, 0x82df339a, 0x7c5fee9a, 0x35c75f32, 0x55763780, 0xf507720b, 0x90b50e6a, 0x53f14d60,
+    0x0e7a72c7, 0x70dce45c, 0x109bb9d0, 0x05bf1b92, 0x35656ef6, 0xd4a6bfd9, 0xb892f45b, 0x2479ce0a,
+    0x59c0c019, 0x5a3e84c5, 0xe1d52336, 0x1a34f9fd, 0x81fd6945, 0x7d48ff23, 0x19711df3, 0xc2b9efaf,
+    0x133b7dbb, 0x4779daae, 0x37201e08, 0x436d91ef, 0x4b36c98b, 0xf6f2ec68, 0xc8ce057a, 0x97811385,
+    0x62b2bd07, 0x902266f6, 0x626b02ce, 0x1c016411, 0xf2ca4507, 0x15fbe3a2, 0x054aacc3, 0xc38ae148,
+    0x5f134aba, 0x39aefc8e, 0xa22893a3, 0x2ab804a8, 0x9ee01a24, 0xb67cb61c, 0x191e5b54, 0xd82cbb09,
+    0x87f3fa51, 0x045a18c3, 0x6576ffe9, 0x7ecdf37d, 0x4737d9c9, 0x2e1492aa, 0x3a72caad, 0xc131f9bc,
+    0x53c5c024, 0x0734f403, 0xef3ac383, 0x57735cbf, 0x810a9ddf, 0x2217a1fe, 0x8bd02a4b, 0xac85cb6e,
+    0x1f284b92, 0xd5dc2889, 0xfb06d9a6, 0xde6cbead, 0x48a25598, 0xaa6db336, 0x2c73d20a, 0x82b63b1c,
+    0xe11e96c8, 0xad057f41, 0x14a8272b, 0x6860c902, 0xf3a47885, 0x764b9ed5, 0x5bf29e8c, 0x2621013e,
+    0x217772fe, 0x082a1474, 0xaafd0904, 0xddd2ee24, 0xbe1c7a46, 0xfee9f8f0, 0x1222856a, 0x86b13367,
+    0x5f576ede, 0x9ea22bb0, 0x8be7e510, 0x5d58f7b8, 0xd3c0316e, 0xbe04568c, 0x59e11ba1, 0xa6228db9,
+    0xc525a227, 0x48ccedf3, 0xfb7b117d, 0xaef0d4c0, 0x5c578538, 0xad4e8c27, 0x886a4ea7, 0xab40ac99,
+    0x3a89c0ce, 0xaae09822, 0x7e9ac263, 0x969e3f37, 0x65369c86, 0x2497db90, 0x7d8b1585, 0x14d9bb49,
+    0x4b5468fc, 0xa2b3f81a, 0x354640dd, 0xf8be2476, 0xe4ddc234, 0xf11e5e6c, 0x89b7a19b, 0xd656f4dc,
+    0x00000000,
+    0xdf461e97, 0x5b9254df, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          7237005577332262213973186563042994240829374041602535252466099000494570602496 */
+  { 0x00000000,
+    0x5fc1dd82, 0xc014840a, 0xda81a39a, 0x2b647ed8, 0x986d28d3, 0x9a2af263, 0x930955ec, 0x9062e916,
+    0x743a7fa9, 0xe4748af1, 0x93c6c5e0, 0x33dbf186, 0x52bb86ff, 0x2f361b7f, 0x9e4de81c, 0xe4ba987c,
+    0x5ce4721b, 0xbbfc7538, 0x9e8d75fd, 0x5942ae1d, 0xbcbf7f3f, 0x0a4b09e0, 0xec260d0d, 0x84e9e17a,
+    0x199eb94c, 0x5c36f046, 0xfa4cbb0e, 0x562e544f, 0x1bb424a4, 0xa576b9a7, 0x59931267, 0xe0bda1cf,
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+    0xcf159234, 0x2b22db92, 0x51522b25, 0x9ec75d63, 0x794ea55c, 0x8261a3a9, 0x79307a76, 0xd1e18320,
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+    0x77e501b8, 0x2bd794f8, 0x54e53abc, 0xbd777722, 0x897e20fa, 0xe801a911, 0x37c31e19, 0x26e4171d,
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+    0x6918f724, 0x8f331dd4, 0x711b0145, 0xe9dc342e, 0x4f0fd051, 0xf4d17547, 0xc098bffe, 0xc15db59f,
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+    0xca225bf9, 0xd167e6aa, 0xceeb17e9, 0xba7d8f68, 0x314b9407, 0xd08d3642, 0xe1f12300, 0xe3fcca51,
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+    0xc9d35719, 0x83889419, 0xe158bcda, 0x6ff3ae64, 0xe749f70a, 0xb2f56b7e, 0x6dc65679, 0x7c16acc2,
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+    0x3ec50952, 0xa7e89a3e, 0x78ab5074, 0x91ed3bb6, 0xe9746956, 0xe915212f, 0xe47f4622, 0x07d8a077,
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+    0x40086384, 0xffd18e58, 0x005370c6, 0x481df3ec, 0xcf3bec52, 0x0b010d40, 0xb555f7f2, 0x9e3205db,
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+    0x644d72f0, 0xc103f25a, 0xe30c692f, 0x9b271987, 0xe1760526, 0x89e1acb9, 0x5d2028ac, 0x70815f93,
+    0x92b621d1, 0xba3735e4, 0x7ba28b3d, 0xf6d2be4d, 0x4c197923, 0x7782b82e, 0x7f802ada, 0x21fc4477,
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+    0xa7a9ac28, 0x020790cf, 0x20f34865, 0x723b7b89, 0x2e62d251, 0x83498d17, 0x83ff7610, 0x8f568840,
+    0xb45a9505, 0x3962df23, 0x95a3d5fd, 0xac48c178, 0x0540b419, 0x41fca285, 0x77115c57, 0x9a65066f,
+    0x8c793672, 0x56be294f, 0xf176e79f, 0xa01080f6, 0x70641177, 0x24f1b9f8, 0x4a15dda9, 0x3682afb1,
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+    0x3d3bd7fd, 0x9196c73b, 0xdb418012, 0xbbcf5173, 0x41b7b99b, 0x12520afd, 0x816db729, 0x85707e50,
+    0xae19dfee, 0x4acbecce, 0xd7ead236, 0xb2ce5c9d, 0xfd7eb5aa, 0x1df2861a, 0xbfcd28e7, 0x866bc41f,
+    0x570d6332, 0x63641db4, 0x5fcf3c11, 0x6af57d41, 0x630f1453, 0xe8f69f4d, 0x17111748, 0xc10d94bf,
+    0xc2eece63, 0xdf515d84, 0x007f42bf, 0x8b9d8ede, 0x3472f623, 0xd018699b, 0x6c8bc73d, 0x599dc794,
+    0x711f957b, 0x93fff0cd, 0xfddd1e8c, 0x3f383079, 0xb06521e2, 0x2d841704, 0x722a03dd, 0x9659d765,
+    0xdc6754e2, 0xac58ec34, 0x1039b0d5, 0xe547707c, 0xffc265b1, 0x587fc909, 0x6f41d086, 0x139beae8,
+    0xbf6007c7, 0xa3932f71, 0xe359b10b, 0x87940af1, 0x666d450b, 0xf08ec735, 0xfdf23f3a, 0x3ca8a016,
+    0x0af39ee1, 0x357403b4, 0xa7e82323, 0xea08a7fc, 0xe0f58259, 0xe3d537e5, 0x337670ef, 0xbff4bf9c,
+    0x85535730, 0x621d9ec4, 0x9e6425a8, 0x5d4514c6, 0x53897709, 0x6b37efda, 0xcd66d8a0, 0x1025c9ea,
+    0xc4d17ef7, 0x44cae849, 0x5ada8f06, 0xef2cafc6, 0x87e6a5a9, 0x285b593b, 0x1273bb4d, 0xbee921fe,
+    0x5bec5196, 0x82c9cdd1, 0x05576154, 0xde51bc1a, 0x5e2153f3, 0x97a6750e, 0x5657c1cc, 0xd5a3a129,
+    0x06484fe1, 0x5890bb2d, 0x9a63550b, 0xc4c2a842, 0xa4b7c7c7, 0x8da0a300, 0x6b3516fe, 0x35c19ce0,
+    0xb4279c5a, 0x3fe5439f, 0x251f0d86, 0xb5f96e15, 0xeb9b8d70, 0x81449e2c, 0xfb634b13, 0xc43ef609,
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+    0x2c76269d, 0x504bf45b, 0x5fb163fc, 0x4a8882ca, 0x7e36fd39, 0x646bf196, 0x8ee9a470, 0x1d70e4c2,
+    0xeab020f8, 0xd06f5722, 0x4cdd04bb, 0x074e731f, 0x8374671e, 0x80300406, 0x76e9c418, 0x332fefd4,
+    0x66fa1e92, 0xee5cea9c, 0xca3d1de9, 0x3031fe47, 0x5d1668d6, 0x28af5479, 0xcbe1bfff, 0x5da29569,
+    0x2322a403, 0xad65974e, 0x23f129f7, 0xb1a57480, 0x589c54b4, 0xe27d2c7a, 0xf3fb72af, 0xb96fb16b,
+    0x53d7e6fb, 0xa2b902e8, 0xfc5216f6, 0xe341b0da, 0x3348b5bc, 0x4bc190bd, 0xbfa06d59, 0xa5a2f739,
+    0x00000000,
+    0xefa30f4b, 0x2dc92a6f, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          3618502788666131106986593281521497120414687020801267626233049500247285301248 */
+  { 0x00000000,
+    0xbdb889ba, 0xf3313cd3, 0x0f778c67, 0x6099d255, 0x6c41abec, 0xc5673155, 0xef3b6a4a, 0xc5436a07,
+    0x201735ab, 0x3c783257, 0x1f26b917, 0xe8b0b162, 0xe988d09c, 0xedf862dc, 0xb5c53de7, 0xd991fd99,
+    0xee456344, 0x11130391, 0x7b806fad, 0x8061a32a, 0xf509a320, 0x2eca2b34, 0x267b3e62, 0xe86ed5c3,
+    0x7e0ab790, 0x2badcc7f, 0x38f153e1, 0x423c71fe, 0x58366ddd, 0x5da355cf, 0x9cc75470, 0x470079ff,
+    0x5baa32a2, 0xaf550509, 0x9feed443, 0x88e178db, 0x98f4477c, 0xe947fd01, 0xc21aef72, 0xbaf76b5c,
+    0xc732a6b3, 0x61b78b52, 0xb8c9c370, 0x0c323505, 0xbae329c8, 0xad56146f, 0x2f13483e, 0xfc540957,
+    0xc074f62e, 0x7452c2ef, 0xd255ad12, 0xaaeda927, 0x2142220f, 0x1555656e, 0x0f57cf3b, 0x745c8839,
+    0x9c10f82d, 0x4d4891b3, 0x031e2d29, 0x033ff28c, 0xc5521f45, 0xd3883634, 0xcc8b72bc, 0xd3dee162,
+    0x8cc79a32, 0x47421e6a, 0xad3b13f6, 0xc558597c, 0xb1bce6cd, 0x6bfec0f2, 0x3397cc93, 0x0215ccf9,
+    0x787170d5, 0xd75793f6, 0x69337973, 0xc3b92f0c, 0xf7fa8e12, 0x0f0bc4f9, 0x76a680cf, 0x87f26ac8,
+    0x820dde41, 0xe6753dc2, 0x65e5bbb3, 0x40fed219, 0xa3753f73, 0x1aa04827, 0x381bff0e, 0x3a2323df,
+    0xa6f5c5b1, 0x0fe67afa, 0x42c8a5be, 0x268fafb6, 0x74c415d1, 0x2a6a5c6e, 0x9c85e407, 0xd2a8caf1,
+    0x76d73dcd, 0xe3cb6b99, 0x28c639e1, 0x3175a4da, 0xb128f769, 0x909bbbc9, 0xb644764d, 0x2217bff7,
+    0x3ce85ded, 0x20b8c658, 0x8b5bf33e, 0xf9548d82, 0x7a8ce653, 0xa221d254, 0x48e5b7fd, 0xce71fdfd,
+    0xbc437cb4, 0xa3da3283, 0xed8983f5, 0xa6927c67, 0x023d5172, 0x8cecea98, 0x16d00382, 0x01d0b3c3,
+    0x9177c1ac, 0xa6ede813, 0x580cf060, 0x33853dd7, 0x48d7f819, 0x6e41cbc4, 0xf9c0564c, 0x9a4af23d,
+    0x13cbf475, 0xb4080460, 0x48392192, 0xadff40fa, 0xd4e493e3, 0x1bfcc0d4, 0xf9babb12, 0x687a965b,
+    0xc50e3a97, 0x2c458dd3, 0x2682a303, 0xe6ed94c3, 0x84e54f41, 0x49e77088, 0x49336b32, 0xef5d299b,
+    0x5608cddb, 0xd54d6a58, 0x951e4c88, 0xa96bf22b, 0x9c9a008d, 0xa1480f21, 0x7d5cb333, 0xa041f450,
+    0xa3633abf, 0x0ae991ca, 0x4d554188, 0x13557b0d, 0x1d13ccd0, 0x371e13dc, 0x72d1fe69, 0x0fd61a29,
+    0x08cbba6d, 0x62716979, 0xaf417c8f, 0x7a8cde28, 0xfa221690, 0x9fb5571d, 0xb880fb1d, 0x26604a55,
+    0xc074fcf6, 0x0bd46a86, 0x13ecf8f5, 0x93ae4716, 0x2821888a, 0x2f7dcd49, 0xfe272c87, 0xc8bdd0a7,
+    0xd26423ad, 0x598219f4, 0xc500b236, 0xa11c6c96, 0xc0bf5c2a, 0x330802a3, 0x05271827, 0xa739a35f,
+    0xae201d3e, 0x1c5f9ac9, 0x45139cbc, 0x37fa32d6, 0x5d7fd432, 0xabb6196c, 0x92c48fbb, 0xbf6c101e,
+    0x851bcb0a, 0x4a607325, 0x5c9263ae, 0x85c1b42f, 0x8504ccc9, 0x730b9845, 0x6bd560e6, 0x19422496,
+    0xa0e0c570, 0x4450698e, 0x3372d0f7, 0x4df07e6c, 0xd43ca34f, 0xddee5014, 0x54c5089f, 0x6fef09c7,
+    0xb286911d, 0x88f73091, 0xe813b363, 0xafab1877, 0x53397f54, 0xf501e8e7, 0x484e6e8e, 0x55324f0a,
+    0x6f742516, 0x19991888, 0x2888db1b, 0x975f10b6, 0x3a51c8b5, 0x26f5b12a, 0xde1a2e9e, 0x9c989c12,
+    0xac17dfe4, 0x41d28ecf, 0x8a628e67, 0x45f99b73, 0xd4c63556, 0x0d53f682, 0x50905eab, 0x7f84b622,
+    0x506cb7ac, 0x6c98c739, 0x9b2c2d73, 0x1b086b89, 0xdaa71999, 0x16125328, 0x1402eba4, 0xdaf7834b,
+    0x31079229, 0x8a1a4eb2, 0xaa7746d7, 0x5cf3b55b, 0x64a4ffe8, 0x4fd4f9af, 0x515183af, 0x5b827904,
+    0x0eb4392c, 0x418ab5e8, 0x2bc9fae8, 0xa4ba15fb, 0x3c22a23e, 0x56f44552, 0x84e61c9e, 0x0ddb1b99,
+    0x735fb44d, 0x9cf5e6ec, 0x625d5ba3, 0x665d6da8, 0xf9907095, 0x495b3054, 0xb19cd93b, 0x8592192f,
+    0xd687487d, 0x272c3990, 0x517fe15b, 0xafa247f4, 0x7260be02, 0x8080a493, 0x90306a00, 0x36d5d612,
+    0xba4489ab, 0xda7d2343, 0x1f2dc99d, 0x1c46a8ed, 0xe83e6353, 0xbd4997a8, 0x559c8781, 0x8f7dea2f,
+    0xcd94aaea, 0x1b3d6367, 0xae67ec95, 0xa2eecf3a, 0xd290af73, 0x35498d22, 0xc16f4577, 0x24b5bd7f,
+    0xc85b646c, 0xbc75b3ec, 0xb2c3de30, 0xbe176b99, 0x8abb61f7, 0xc61a17e7, 0x9ae56791, 0x9917fef3,
+    0x117b9abb, 0xbb0d42f8, 0x544c4dec, 0x1ee9e32e, 0xc7547587, 0xbfca8050, 0x5d08c70e, 0x433da11a,
+    0xc88a4568, 0xe9eb1d78, 0x06fcd739, 0x08f58b4c, 0xeaa70033, 0x3daeed5c, 0xcbc4c7bd, 0x69d3a719,
+    0xbfdb57dd, 0xb0eee4e1, 0x27ba0ce0, 0xc3010b07, 0x8ae6b59f, 0xd722b84f, 0x3cc12c87, 0x87d46382,
+    0xb854abe3, 0x61c6f02d, 0xb128e515, 0x67ba51cf, 0x41ccfbc9, 0x0113f5f1, 0x55a231bd, 0x20f532a3,
+    0xd5e01d21, 0xd7ecc5ed, 0x3b5e929e, 0x88e62f22, 0x2f05bc6a, 0x8e1bc6d2, 0xbf5f874c, 0x4e6aeafa,
+    0x1fcc1b61, 0x33d9718c, 0x768c025b, 0x9c4cbcf7, 0xc3fe67d4, 0xc265aee5, 0x028c2441, 0x80b7a3bc,
+    0x93a1ca59, 0x47d8a77b, 0xc0c3dd9c, 0x21ef295f, 0x1ecbe086, 0xe2c1d257, 0xcada8b00, 0xcf638c67,
+    0x99aba978, 0x9b7c7cc9, 0xd36e77f0, 0x93d5ff13, 0x77117f56, 0x143c35c1, 0x1a26f2d4, 0x50d60890,
+    0x568b691b, 0x0ad5a0cb, 0xec752ee3, 0x370d91e7, 0x881b311f, 0x11588989, 0x8927a9d2, 0x765c5ca0,
+    0x7faae1f6, 0xea363612, 0xf2d4a23a, 0x0a94c6cb, 0xbe786140, 0xc7c3922c, 0xe506c2a2, 0x23da66dd,
+    0xe9f7fd3d, 0xa413666c, 0x71920d89, 0xe278c19a, 0xf72053db, 0xa49ddacb, 0x713a05bd, 0x3079b66e,
+    0x4c581499, 0xd34f821f, 0x468070d4, 0x0aee4824, 0x87fc5491, 0xa616962f, 0x01e3b645, 0x3ad21f66,
+    0xeb27d65b, 0xa0711a1e, 0xa74d7dc7, 0x52cbb79b, 0x9a0d8c18, 0x154049ca, 0xd93ce624, 0x893a32ce,
+    0x31d87fc4, 0x92d765e1, 0x8b278b21, 0xc00966a2, 0x00016a3b, 0x3cbc952f, 0x483607b6, 0xda2128da,
+    0xd0e261f1, 0x08d89936, 0xaf168cdd, 0xf19b1587, 0xd0c88c52, 0x65918c4e, 0xc2875fdf, 0x2c28ef3b,
+    0xef57fcd7, 0x00c4bddd, 0xfa521923, 0xd968a565, 0x007a3b98, 0x72782e86, 0x847f043c, 0x7c80c393,
+    0x95538958, 0x250c3e4a, 0x85466e46, 0x231d6b62, 0xc1b815b2, 0xae057c0f, 0xfa7fd2ab, 0x0f7a59fb,
+    0xd3d18896, 0x748fbaec, 0x1eb52b2d, 0x78d0aa38, 0xf6b07880, 0x7f044913, 0x14084a94, 0x8ddd9785,
+    0xe74c4f69, 0x2bab446e, 0xd5792dd3, 0x43d6fa4a, 0x91682127, 0x10356191, 0x43100118, 0x85708513,
+    0xfcd8ff0b, 0xe0dea10b, 0xe3b9d140, 0xebf502d1, 0xa158aae2, 0xf60aac47, 0x89a937c7, 0xe2e09ee5,
+    0xa2dd17fc, 0x7813407a, 0xc64af6bb, 0x52d43adb, 0xb676f111, 0x0d3f230b, 0x1890d13e, 0x8f2cb2a9,
+    0xeb0cd614, 0x4536511b, 0xee1f52de, 0x2667fa11, 0x95a190e3, 0xf7dce729, 0xac1fe7e3, 0x7f8276dc,
+    0xad29226c, 0xb29f7772, 0xace6fb42, 0x9412787f, 0x92c5dce2, 0x2606f24e, 0xdbb200a6, 0xffcc9556,
+    0x5715b985, 0x4a64328d, 0x95a72dd5, 0x56b9616c, 0xf81a495b, 0x0537ea77, 0x8536537b, 0xa49d1fda,
+    0x5072c52a, 0x21b48c27, 0x2b46c6c0, 0xc5d10727, 0x1b0f6c46, 0xba614061, 0xcf6665a5, 0x626e534a,
+    0xa1cd49d9, 0x7a3ce1c9, 0xb253ec22, 0x1447e04d, 0x198d3dad, 0x8509dca1, 0x212f3356, 0xc9f464d1,
+    0x0b609642, 0xa2bac6d0, 0x01f4a924, 0x5eb02912, 0xa50191c6, 0x41c7c5e7, 0x0afaac0c, 0x5950b5da,
+    0xf5d16c7a, 0xe39cccc4, 0x6a059558, 0xf9eb04c9, 0x3db447a5, 0x1d8314fe, 0x85d8d09f, 0xe695f83d,
+    0x9c155e2a, 0x4e0651ea, 0x3d837c2b, 0x9b4201e4, 0xf010e77e, 0x961e890f, 0xb9b3c79f, 0x0567093b,
+    0x3aaa8b13, 0xee960598, 0xf253274c, 0x87829df8, 0xc727bd55, 0xcc4f4fc3, 0x6b687853, 0x269b2efa,
+    0x993cee73, 0xccb8baec, 0x8216a3dc, 0x90eaa897, 0xe617e508, 0x80ab9f65, 0x443b9ae0, 0xb02d0f8c,
+    0xad0c46ba, 0x667897b2, 0x8a041610, 0x278f11f3, 0x6dfb3074, 0xedcc838e, 0x4831fbab, 0xe02278a3,
+    0x39fbb68c, 0x3d387e88, 0x06684f1f, 0x64426377, 0x1856f71d, 0x25f1761c, 0x702ae115, 0xd8549e1c,
+    0x81d64900, 0x0da02cfa, 0xcf62b50f, 0xc505cde8, 0xe97eb6bd, 0xf1b65b95, 0xbfc0aa82, 0x014b1cc9,
+    0x0c98b870, 0xf8c4ce12, 0x537a4f6f, 0x54d0ffa0, 0x8356f831, 0x33180196, 0xe9c4e96f, 0x452df2a4,
+    0xd274f6aa, 0xd0d0f9a0, 0x620a44c1, 0x8bd68069, 0xd89cc9e9, 0x52cad63b, 0x120c3f5a, 0x43c73887,
+    0x88fb67ea, 0xebdfc5f8, 0x5a5cc2f9, 0x3b845a3a, 0x469b3255, 0x08529742, 0xa7817527, 0x85fdcb04,
+    0x3a474ea7, 0xb201121b, 0x95b2e559, 0xdbd08b0b, 0xdabeffd7, 0x1b70d5f4, 0xc3814e28, 0xc0fc4a6a,
+    0x7727c859, 0x77ce9b54, 0x5f826e42, 0x351269cb, 0x485ba7ae, 0x122aa342, 0xc6f792f2, 0xd634eea8,
+    0x62e35e9d, 0xcb80e029, 0x7677d842, 0x9212452c, 0x67d55ab8, 0x9ae93921, 0x3ea31994, 0x3f354c39,
+    0x565c3888, 0xe1e6b9f3, 0xc2e98443, 0x2db891fc, 0xef723786, 0x18a3e841, 0xe4738ac9, 0x89f6f4c9,
+    0x059f7417, 0x4094e4cd, 0x8c5d2422, 0x3f103080, 0x3e3aa471, 0x730647ea, 0x7445691b, 0x20ed7954,
+    0x7c3ab7a6, 0x579256af, 0x9775b867, 0x8bfc17a9, 0x218fc2be, 0x7454fb4f, 0xa4270ea3, 0x705700d7,
+    0xcc433321, 0xd8ad2633, 0xc63c12d0, 0x393ff252, 0xec95842e, 0xf97eff5a, 0x1a8dd082, 0x11fdc840,
+    0x9acf2158, 0x54d7beec, 0xf645d2be, 0xabdb27dd, 0x9dda9722, 0xac8f81ea, 0x9e749256, 0x0e942be5,
+    0xa3340f18, 0xde1bac2f, 0x2616ada0, 0x802529bc, 0x934dfb9f, 0xc4f65f1b, 0x22bd41a6, 0x63e642e1,
+    0x078c0572, 0x39f41592, 0x38b66515, 0x7c3fde1c, 0xd6231bd5, 0x3198929e, 0x6f4006e9, 0x62ba9adb,
+    0x4c9ce010, 0xaf528ffe, 0x4fcdb9c5, 0x6c0d3940, 0xb905af73, 0xaba6e2cc, 0x6fe58adf, 0x39fd8a53,
+    0x474f776c, 0x96e84589, 0x52a9ee57, 0x7d2103dc, 0x8991bf2e, 0x536986e3, 0x59380075, 0x8dbe74f6,
+    0x0eae8c98, 0x43fa2b3e, 0x860cff57, 0x0e906e8d, 0x8723dcbc, 0x91e5daeb, 0x325b24d3, 0x001b3fde,
+    0x4dc3c7a0, 0x37069b73, 0x9ef42bac, 0x3c40d641, 0x52369229, 0x829c1d17, 0xcbcfc805, 0x01c28b15,
+    0x8a1329fe, 0x8f96eae8, 0x2179984f, 0x5acdf6c6, 0xee544303, 0x12aa6cc2, 0x7411fb23, 0xf0888486,
+    0xb23e45a0, 0x731a093e, 0xb8930ce2, 0x10ca1ef1, 0x5bfdf644, 0x2ed1216d, 0x663c3363, 0xa8d444b3,
+    0x83f2c8a6, 0xb7ef6380, 0x3744ef48, 0x9572f375, 0xc9285867, 0xfa7deb27, 0xe84d19b4, 0x51b064c0,
+    0x1d5fef2e, 0x547b8ad8, 0xf28a93d1, 0xd86773f8, 0x000ac8de, 0xfe21ddd0, 0x50c9b7f6, 0x6f4fb756,
+    0x7d47510a, 0xf861f725, 0x68bfd769, 0x009af15d, 0x21656f17, 0x4fa353f1, 0x924c9910, 0x42a1de89,
+    0x0f13ce6c, 0x34add708, 0x2d8955af, 0x29ab2fda, 0xb444572d, 0x323622af, 0x5736d9f2, 0xda5ce58b,
+    0x06b5136d, 0x866b3771, 0xfad3310e, 0x8ac3794b, 0x6d66c93c, 0x9461d2f1, 0x83e5b7a8, 0xfea9bb79,
+    0xaee20b2b, 0x72c7298f, 0x30997131, 0x4bfaf5e2, 0x6eeac829, 0x009e4b77, 0x10488253, 0x7d427fbb,
+    0x6734f7df, 0x1181f0e5, 0xf7adbf3c, 0xa02519df, 0x6b44301e, 0x7e023af1, 0x7afa210e, 0x2bf02ad5,
+    0xd9268ec0, 0xce7abc0f, 0xb0c6d3e9, 0x10bcd9e7, 0xa034e0c8, 0x95d67d74, 0xd48c07f4, 0x5e53fc59,
+    0x8e0c251b, 0xca48be86, 0x217c4603, 0x7e4b53de, 0x1bcfe6cb, 0x825559e2, 0x0f198353, 0xa84ec4d4,
+    0xb9b89bdc, 0x8cd8001d, 0x02dfb8b4, 0xf8eca478, 0x2402c51c, 0xa066f8f2, 0xcfdfaccf, 0xfaf0fdc6,
+    0x8282878d, 0x1aca3a70, 0x06e18529, 0xe7a090a6, 0x2d3f6095, 0xfb439de4, 0xeebda965, 0xec255a96,
+    0xe833cd08, 0x184f3628, 0xf17e8dc4, 0x42d0f865, 0xa7cb506e, 0x66ee30c3, 0x09546714, 0xa4f8c722,
+    0x62f5b3dc, 0xd8c5d5ba, 0x61cdc9ca, 0x08ecb164, 0x7f9bb906, 0xe3da755f, 0xca79fba1, 0x03f7e86b,
+    0xd10324e0, 0x3d2edbf2, 0x37d86208, 0xbda080c8, 0xef2cda8f, 0xc689a3da, 0x77d70247, 0x17ddce1e,
+    0xdbb12c29, 0xeb6348a1, 0x7afc40ed, 0xfea73519, 0x8791983a, 0x56ce4121, 0x0fd136a4, 0x4d17d3cd,
+    0xac50e1a1, 0xb0832d55, 0xdac3ec3c, 0xf69a0510, 0x540cbf87, 0x6f9668da, 0xdd03e97f, 0x136d0f03,
+    0xddce1b73, 0x3ab82531, 0x1f9242ed, 0x182416a4, 0xa0c34a00, 0x5a9cb4f2, 0xa7fd5d2d, 0xa6189df1,
+    0x9fcd0919, 0x55add445, 0xf0d79def, 0x5014a95a, 0xfaf110fc, 0xcc3de97f, 0x47d95b7a, 0x6e000efd,
+    0xa309a115, 0x69c5d77e, 0xa89d24f4, 0x237d7b0b, 0x5e9d3605, 0x4d8b8bd0, 0x7f97efb1, 0x2752ab53,
+    0x5be1340d, 0x69c1a68e, 0x3fd8011d, 0x231e31f1, 0x64f5d545, 0x2661e0ff, 0xfcd1d177, 0xc6877ddf,
+    0x56e73199, 0xce969442, 0xb2d3845e, 0x8f0ddbba, 0xf4dee2a4, 0x6be636f6, 0x9bc1c9e7, 0x01223d5a,
+    0x1151d556, 0x00d11b71, 0x69ccfed6, 0x63737574, 0xc1ee2aad, 0x96013afc, 0x48728bd2, 0xeef6bdae,
+    0x0c965c11, 0xf7b62c09, 0xf460bac3, 0xd3d402ed, 0x535fb318, 0x324e167e, 0x583f66d5, 0x681e0060,
+    0x51dd3cc0, 0x9cedc752, 0x1312e4aa, 0x403b39b2, 0xabfd21a5, 0x014446ff, 0xee2eaaf4, 0xf064dbe1,
+    0xc8195ac6, 0x1322c8bf, 0x55d6709f, 0x2a45c9d8, 0x633ff998, 0x96d00c5f, 0xac4c262b, 0x1355e47b,
+    0x0c0fd66f, 0xa5d1d468, 0x1deb4100, 0xfcea8ab7, 0x697b521f, 0xb59fb264, 0xaa57c013, 0xd257e2f9,
+    0x15c847d6, 0x6aaf7191, 0x0c39ed6c, 0x36a111c4, 0x799f3269, 0xed2d08b6, 0x94d7617d, 0xe20bcf53,
+    0x334fb590, 0xe94487bf, 0xb438928f, 0x8f064f36, 0x37dac8d3, 0x7115fe5d, 0x50e8db35, 0x2d148ae0,
+    0x942fce79, 0x15f90102, 0xe3c5648c, 0xb7df5699, 0xb503ae07, 0x2e70ffa3, 0xb5f64d53, 0x97ff4e57,
+    0x165e078a, 0x5007e8dd, 0xd60e5e0e, 0xb7ee38cb, 0x7ee45d84, 0xee40e669, 0x86da54ec, 0x703feb31,
+    0x703590a3, 0x01e61879, 0xec6d6260, 0x6b1280a7, 0x9fbfc613, 0xc546a4ae, 0xff455c68, 0x8682357c,
+    0xe31eba08, 0x24e44ef5, 0x0a7e03f0, 0x545bd7b5, 0xc4f5c351, 0x9baf49f4, 0xec149b01, 0x465912eb,
+    0x2468ef1a, 0x8737222f, 0x3cf18b39, 0x52735036, 0xebc6eaa7, 0xe9e37c14, 0xf7741e08, 0x0438f685,
+    0x9dee6d5f, 0xdae80fd3, 0x9c77a526, 0x53c683ed, 0x76059fa3, 0xe82b78fe, 0xa7ba5152, 0x11df63d4,
+    0xb6ed5827, 0x7983cf5f, 0x9787677d, 0x635ba711, 0xe251b1e9, 0x59523100, 0x2d4711e6, 0xf75cb1bf,
+    0xbd719c79, 0x4c8c6391, 0x22475577, 0x98889c10, 0x484d74ce, 0xf12ad83c, 0x46ad77da, 0x919b7759,
+    0x00000000,
+    0xf7d187a5, 0x16e49537, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          1809251394333065553493296640760748560207343510400633813116524750123642650624 */
+  { 0x00000000,
+    0x3f85b2a4, 0x36aab567, 0x1e0438b5, 0xc7228fba, 0x8304850e, 0x4e422cfb, 0x1af4e344, 0xf8325c97,
+    0x9d4d902d, 0x864f8c27, 0x712e00f8, 0x3f2785a9, 0xb0ab61d5, 0xf121fe17, 0x5bfa7927, 0x29b59132,
+    0x803752ae, 0x98b723e7, 0x590b4422, 0x25cc78d4, 0x72406ffb, 0x9a835cc6, 0x866a258d, 0x9ee914d0,
+    0xc80782d6, 0x7d14a3c8, 0x4d3fc697, 0x3ae120f0, 0x6f6fd4ad, 0xa8c81464, 0x9b15af78, 0xb4d8fe48,
+    0x3d7cce6a, 0x70277399, 0x5f2ccc3e, 0x6a115870, 0x29334c2b, 0x76cd527f, 0x9144380c, 0xfc82fa11,
+    0x4aa423cf, 0xd9111828, 0xa9f06c8d, 0x40f61e21, 0x878ce093, 0xdd432ca2, 0x59d61bf3, 0xfa1468fa,
+    0x62f96ca3, 0x4627f5ac, 0x50f8a9d8, 0xae67ac79, 0x6e0427f0, 0xf82bd23f, 0x978de7f1, 0xa42bb1ac,
+    0x33dcdc56, 0xab2e3b21, 0xfdfbd685, 0x94adb1c7, 0xcd11b60c, 0x8a5e5576, 0x7f778772, 0x60bd36d7,
+    0xfe9160b8, 0xf99db47f, 0xd195c93c, 0x81a23132, 0xe182cb5b, 0x22abd435, 0xe629bb2b, 0xdeac494c,
+    0x90df3bb7, 0x31d347d4, 0x7b4787e4, 0xdaa47f7d, 0x19507e00, 0x881d19b1, 0x3a7d9577, 0x9607ed7a,
+    0x3c934786, 0xb191b55a, 0x967fb531, 0x07fa21aa, 0x6865bb5f, 0x12f19064, 0xd9907595, 0xe21a7c3f,
+    0xb4f9decc, 0x7b9ff98b, 0xb6265254, 0x8ebdef9c, 0xc1dcb115, 0xfe65f553, 0x2a610b11, 0xb217f9a4,
+    0xd1d69d40, 0xb1728f1c, 0x9f513b6a, 0x570c5669, 0x550090c6, 0xd9f5a017, 0x628aa43b, 0x1975a6b0,
+    0xca9e7b4a, 0xdb172ee2, 0x49b1fa8b, 0x2e26040c, 0x065b82cf, 0x44bea97e, 0xa467d5e5, 0x55e315af,
+    0x70e5cef3, 0xfc379f63, 0x1effc4f2, 0xc3390a55, 0x51e9e1d5, 0xbc9c272c, 0xccf1e0e9, 0x884937dd,
+    0x7f653f33, 0x221025b8, 0x3bd32c83, 0x0e668e23, 0x99a35652, 0x57f1afdc, 0x97afa660, 0x9c294483,
+    0x375c930a, 0x397e01dc, 0x84f413af, 0xc4218928, 0x7dfdcdc3, 0x9341e706, 0x2e69790b, 0xb4078c46,
+    0x86d36812, 0x1864878d, 0x2ea88dc9, 0x94a36e5e, 0x833d6cc2, 0x403d8df9, 0x8f67feeb, 0xf26fb0bf,
+    0x6019b44f, 0xfe031bf4, 0xd8fe88aa, 0xad9c5b26, 0xd252bdff, 0xe174b9df, 0x06507eac, 0x6ca63e1f,
+    0x81bcb33e, 0x30763214, 0x281f1343, 0x57a1d3a5, 0xcaac43b6, 0x4ce0db15, 0x630584fc, 0x8b077573,
+    0x32d7d0fc, 0x1bcf5205, 0x642780c0, 0x7ab732b5, 0x504b9039, 0x99be293a, 0xc439c79d, 0x2306ffa7,
+    0x2e692c9f, 0x24854b12, 0x2c8e7de6, 0x95adb918, 0x10510cde, 0xf0c48683, 0x99757a8b, 0x33a643c2,
+    0x588d9ab8, 0xea16d9e5, 0xadc65293, 0x5fe2ddef, 0xed427b3b, 0x0c64d60d, 0xc976ad1a, 0xe6759262,
+    0x371b3eba, 0x6e160907, 0xb6e1c6b9, 0x25be8325, 0xc2341fe1, 0xdaf5d777, 0xce6582cf, 0xb00ec58e,
+    0x3cf5792c, 0x576e6d9a, 0xfb88f1c5, 0x8f3eec51, 0x6c16c5c8, 0x6e5ad68b, 0x03e2b435, 0x9e3370cc,
+    0xb9aa9ed3, 0xcb89b4f2, 0xc3e3f56e, 0xe64cd3db, 0xba29d0d6, 0xd1419bb7, 0x456f6547, 0xd478bf19,
+    0xd04f104d, 0x3420cf77, 0x9475a5c8, 0x1665f72b, 0x3d09bd98, 0x592a4933, 0xcc5a38f4, 0xb9f81083,
+    0xa148a479, 0x285762bb, 0xc4e95801, 0xfbdc0e3d, 0xaa7a400a, 0xdc9220e4, 0x9ef4c575, 0x0f36ed40,
+    0x4d4e324d, 0x27509032, 0x3d73c560, 0xe0f6cf66, 0x22a7a74c, 0x491ac748, 0x6cfb6300, 0x38e87f98,
+    0xe1274c78, 0xff03437a, 0x676e3adf, 0x95ed1fe1, 0x4b154362, 0xd013dbc4, 0xfd3246d2, 0xd4ac437b,
+    0x2cb6d81c, 0x3b5c0e1c, 0x93352b87, 0x0643d9ef, 0x773aed87, 0x68a5cc0f, 0x4bacf73b, 0x34832e35,
+    0x2695a8b9, 0xdf5ac1ae, 0x69f40a57, 0xb3f89dba, 0x4c5e9a7b, 0x8871dcac, 0xae2e9d54, 0xc075c2ce,
+    0x04af8031, 0x82029a11, 0x44418f2b, 0x5ed1f97d, 0xa02bc851, 0xba832e1f, 0x7b14107b, 0x5ef6e523,
+    0xce5e2451, 0xe6cfe19a, 0x5d317fb8, 0x112a8034, 0x5888e79a, 0x00e899b1, 0x097e1b03, 0xf0846772,
+    0xb28b1666, 0x3a17a61a, 0x4611b8b9, 0xfd8d0922, 0x737518ea, 0x1ab5679d, 0x56448191, 0xcd9b3646,
+    0x0ec40f13, 0xa3a378ec, 0x7c71e3df, 0x2af28c8d, 0x8728a184, 0xe8caa64b, 0xf1fb0a60, 0x25ea8f0c,
+    0xb5f798b2, 0x6c104c7e, 0x25514d7f, 0xe19b05c2, 0xa23c7754, 0x752c5a36, 0xdcd89d21, 0xa8e2d323,
+    0x7b1818cf, 0xe8fb389a, 0x6619f491, 0xc9c0e359, 0x1429938a, 0x0444166c, 0xf37ad45f, 0xacd2662c,
+    0x572dde8a, 0x532940c3, 0xb5be9a77, 0xead72c2d, 0x3997149e, 0xf9258b59, 0xaba28885, 0xb309674d,
+    0x069361da, 0xccdc96fb, 0xb372b681, 0xd1f3fc2e, 0x27b1015d, 0xe72c4187, 0xa6a7cbc0, 0xc0dd56ea,
+    0x61b3fcfe, 0x1f88d85d, 0xdcb91553, 0x4ace30eb, 0x9c210007, 0xec3f1d29, 0x1a392c25, 0xfb9f7eab,
+    0xadbb7128, 0x2f687eb8, 0x15295ca5, 0x8fee0c33, 0x5867d803, 0x139c4763, 0x9e2c3563, 0x68a06f90,
+    0xab8fcb64, 0xd7908eed, 0x98e5e878, 0x2ed07d3e, 0x661ab6dd, 0x460203f3, 0xcc1f4e3a, 0x6757bc41,
+    0x61ae7783, 0x94b6c703, 0x9a6039d7, 0x03ef96ad, 0x3b9dec3c, 0x531f6a0d, 0xab59bb12, 0xf54f0618,
+    0x920fd7bb, 0xe4e205e7, 0x744d7bea, 0x62c8096a, 0x1b1ecb1b, 0xfc648d74, 0xea5c20d6, 0x0dcfbde3,
+    0x579d38c2, 0xbcd363c9, 0x3c570844, 0x0e3b7df0, 0xd7b6b434, 0x30fb0151, 0x62823d6f, 0xe51001c2,
+    0xb1509fbb, 0x3f13a7a9, 0x6e38e613, 0x5e39ed51, 0x1297abb4, 0x7905fb25, 0x785bcb52, 0x5ff5f20d,
+    0x0cbbccdb, 0xecd358c6, 0x339c6d7e, 0xc2866cdc, 0xc2925d47, 0x13c22f85, 0xf8c181a3, 0x580289cf,
+    0x9476d00d, 0xd86df55a, 0xc35ebedc, 0x49eeaa93, 0xff3d7da3, 0xb84e6d1e, 0x8e7f0b08, 0x3abef472,
+    0xe80315ac, 0x238fe38e, 0x82c9b3de, 0xf1ab3c98, 0xed58adac, 0x3173585c, 0x3f025cd4, 0x08fad2e0,
+    0xf909143f, 0xe21dc004, 0xe0208da2, 0x71841ea9, 0x7a606ae0, 0x692374e9, 0x8278cba1, 0x279f2d99,
+    0xb811f747, 0x45cb41eb, 0x8b9b1a48, 0xf248c04b, 0x34caa0b7, 0xffb33ab5, 0x0b7c3a27, 0x7aded1c2,
+    0xb7aa9723, 0x8b6bbfcf, 0x9ddbaa65, 0x2e3df8a7, 0xdbafa4d2, 0x6b045d40, 0x0890f570, 0x12107c2c,
+    0x27bc929a, 0x5a2ebe3e, 0x8ea68ece, 0xa927bcf9, 0x37f04b2f, 0x0a874e47, 0x8c00f078, 0xb1e6fee6,
+    0x0a181cdb, 0xfd90e0ac, 0x601bf13d, 0x0ccc9f2a, 0x65287394, 0xeca034c6, 0xb69f6e28, 0xf811b6ca,
+    0x35392fa0, 0x8c3059cf, 0x444ee182, 0x4dfe4a63, 0x95581c92, 0x0eab65bd, 0xde04354e, 0x07da52d1,
+    0x217bf8b5, 0x495fccf3, 0xbc519fc3, 0x55b95a3f, 0x3555ee97, 0x0cc02a64, 0xbf06d1bd, 0xa65a6f49,
+    0xb1202ffb, 0x00679da8, 0x908de449, 0x926aaefb, 0xd8e5a70e, 0x8cef3c24, 0x9a3719bd, 0x94372d6b,
+    0xb318e2b4, 0x5a4f4467, 0x242027f9, 0x3a8a7fad, 0x7debc808, 0x7f5e5101, 0xd4fc2a80, 0xb6d3d560,
+    0xffb41f37, 0x012b2661, 0x8d5458d3, 0xeda53a81, 0xe8aac3ab, 0xe72395a2, 0xde766a9c, 0x09185ecc,
+    0xd3ad56a8, 0xd787b92e, 0xfeaba41f, 0xf785bf7f, 0x5a025d37, 0x7ac43ef3, 0x5523466a, 0xf005396e,
+    0xe6d46a15, 0xb3d604d8, 0xb5fbe27a, 0xfee02475, 0x1d9426e7, 0x0d0f5a05, 0x82c38b46, 0x0d157f57,
+    0xe7433e4b, 0x01e55f58, 0x1dbae1d6, 0x89998b33, 0xd4fd3b82, 0x880c425c, 0xf7256658, 0xf8ee9571,
+    0xb8c8697a, 0x54da691d, 0xbec31f87, 0x8d84c987, 0xb45def37, 0x337a7764, 0x137b0fb7, 0x917ca578,
+    0xec70c46f, 0xca50626d, 0x0d62de6e, 0x705546bb, 0x53f86572, 0x2db1f45b, 0x780b0ade, 0xccba4683,
+    0x049516bc, 0x266ffa1b, 0x524f0e83, 0x1f9107c6, 0x8624b4fa, 0xc5a60513, 0x2356c76d, 0x6d323f93,
+    0x7bc9d20e, 0xd327feda, 0x9e746b3f, 0x2fe93dbb, 0x06dbd8ea, 0x8b173094, 0x7e7f0104, 0x02939a9a,
+    0x701bfc60, 0x00bfaa8f, 0x9742ec22, 0xcde16581, 0xd7c1120d, 0x99cc2e42, 0xeda8a5c0, 0x9c5c5bf7,
+    0x4805c6eb, 0xa796750d, 0xc6aecf9b, 0x9e02b062, 0x45c8f809, 0x724902d5, 0xa117e6aa, 0x7a23f33b,
+    0x4a541aaa, 0x9d1c1570, 0x870f0149, 0x3260506b, 0x85b41b5a, 0xa8737e36, 0x9953fd08, 0x774528e4,
+    0x3ee7a002, 0xe2ae8872, 0x21dfaba3, 0x9f9e59e4, 0x128bc99e, 0x764e3afc, 0x6d4b3fb0, 0x60b26fdf,
+    0xb3a4a425, 0xc69331e7, 0x755bc317, 0xa0213691, 0xbaf76c1c, 0x73a73baf, 0x84bb8a1a, 0x7c6da9c6,
+    0x79cbdfd5, 0xf34abe80, 0xb1155522, 0x8653c64e, 0x96159bcb, 0x34cecd9c, 0x8afb7bc6, 0x994a5aeb,
+    0x4b72ea1b, 0x3beece13, 0x779457bc, 0x66b6b807, 0xee47d425, 0x347eccf9, 0x58ecf220, 0x63c6291c,
+    0x1d9dcb43, 0x31429dfa, 0xb5afc82e, 0x85af8e14, 0xcdcdc49c, 0x17fb91a1, 0xdd4c790e, 0x470ecefd,
+    0x8d84a85c, 0xae6c62ca, 0x2ea1c549, 0xa5561027, 0x1b9aa4b5, 0x60ecc3c2, 0x2b48cdd9, 0x30e1dced,
+    0xeaeeb7ab, 0x971cfe31, 0x632f0056, 0x9768e127, 0x55d6b6f2, 0x40289b8d, 0xb56b8ea1, 0x62e223bf,
+    0x7f389149, 0xe1dc69f3, 0x4e526874, 0x55485402, 0x563a5651, 0x681a0e5f, 0xb71a0b96, 0x05847792,
+    0x84f5e3f8, 0x67c10298, 0x9cf33339, 0x180b478b, 0xa9a9ad0f, 0xb51f0a8c, 0xd6ea808d, 0x59edde83,
+    0xb57d6a80, 0x1d3c7412, 0xe3aeb69c, 0x7bdba0c5, 0xc91d90e9, 0xd36888f5, 0x0ee1a472, 0x1ba7d55e,
+    0x355c614d, 0xe026fe8a, 0x570c203a, 0x004e083b, 0x74710c1f, 0xa7982fc2, 0x88e3e853, 0x5f59c210,
+    0x106f1f7b, 0xce0648ef, 0x43719065, 0x79225d5e, 0x5fdbf86d, 0x6a81a436, 0x7e78e390, 0xdf18cd24,
+    0xa1def708, 0x6b2376a5, 0x3c1b7abb, 0xeedeeab7, 0xa23f1ab7, 0x310c48dc, 0xb609f64f, 0xf7315a30,
+    0xf82403f6, 0xfd046f9a, 0x52eb2c2a, 0xe9385865, 0x60e3aba8, 0xf5a16670, 0xc3014c86, 0x56e47814,
+    0x0d2e2f2a, 0xf2d1af97, 0x6826ad74, 0xff703251, 0xeff66a6c, 0x73d11604, 0x7ac859b5, 0x8e2c1435,
+    0x3dbc44ac, 0x4f6953b5, 0x92ce1f1b, 0x8602a86c, 0x642d1fd4, 0x958d860e, 0xfda6009a, 0xf48b5663,
+    0xa44039ea, 0x9b2824da, 0x226a0171, 0x372c706d, 0x840067d3, 0xb5f57ec3, 0xd8482377, 0x3b110cc9,
+    0xdbdaf5c4, 0x9f0b59c6, 0xa4bffc68, 0xec9ede84, 0x4ee87f94, 0x8382c244, 0xfa426b03, 0xf0001c8c,
+    0xa0784dd2, 0x45f6f058, 0x836a7cd9, 0xf4bf0994, 0xd139e86e, 0xb178807a, 0xdd48584b, 0xd62e7201,
+    0x32850438, 0x9bf208d9, 0xcffd0eed, 0xdc5b2605, 0x219363d3, 0xaf60e077, 0xf9de81f5, 0x03dcfe4a,
+    0x826d9564, 0x9ffa62af, 0xeb28bf0b, 0x835aa018, 0x6bd44f83, 0xe953829c, 0x4c20558c, 0xbaa1b00a,
+    0xba751a84, 0x21144313, 0x6bae5313, 0x97a44c78, 0xfb889a42, 0x7980d226, 0x73f549ee, 0xe6e0d458,
+    0xb4474527, 0x1699187d, 0xfd440a98, 0x22c8dec2, 0xe9898242, 0xebdd5dbb, 0xa3d40c67, 0xd1a66e6a,
+    0xf8e3e51e, 0x860414b3, 0x3c4948ea, 0x30cecbf0, 0x75e505d2, 0xa932b5e8, 0x565a2689, 0xf989f437,
+    0x0ac8eba8, 0x2a0c3f7b, 0x24b48ef6, 0xd81c1b59, 0x77580286, 0x45c068a8, 0x829b2aa3, 0x3e51ed1c,
+    0xf6e17de3, 0xa46db1ea, 0xa7c34230, 0x99a9bff2, 0xda759cec, 0xf083e8d9, 0x2a25250b, 0x204a2593,
+    0xb0ae779b, 0xae126b1e, 0x2c076398, 0x1802109a, 0xa3a2831c, 0xf94663c0, 0x1c2c9737, 0x49773d82,
+    0x544bf6ea, 0x5979377f, 0x14da4285, 0x505c9669, 0x5899d159, 0x5b16975e, 0x57f2f903, 0xf9c34773,
+    0x75537c99, 0xb764efa7, 0x5eabb0b7, 0xdcc51d70, 0xb95ef526, 0x12dd1240, 0xc894c986, 0xefcea8a0,
+    0x5a011b22, 0xe1b4855a, 0xec16ef27, 0x51b9b79d, 0x2876b4ae, 0x9655c4b8, 0xaf2f01e2, 0x3fbb4265,
+    0x5f14c0e9, 0x0055058f, 0xfcda87f7, 0x84dbdf78, 0x3a723a60, 0x664fd42f, 0x779e73e5, 0xa003d7bd,
+    0xb211b89c, 0x71c807a3, 0x39a0516c, 0xe7f332d3, 0xa2e20494, 0xcd8446bb, 0xb0fb0a16, 0x42d61143,
+    0x4f788d68, 0xc68fd583, 0x43bbac9a, 0x29f7de5d, 0x59554328, 0x1803e3e3, 0x68e632d7, 0x4c7dece0,
+    0xbcc967e9, 0xf2a5875a, 0x5368524e, 0x2eb9395d, 0xfbc2a032, 0x10338213, 0x9bea06e1, 0x01a15bbc,
+    0x462e7f10, 0x135bf791, 0xd80b6b38, 0x7c1d6d95, 0x55b62965, 0x316edd7a, 0x80c61ada, 0xb7f19f11,
+    0x48ee2367, 0xdcb7ac6a, 0x2e1ecaa5, 0xaa4b04d0, 0x04dab73b, 0x277753f2, 0x3b0a1da1, 0x13c136bc,
+    0x542a2394, 0x19eaa4ab, 0xc31cc757, 0x1e9f399d, 0xfda71928, 0xba171ddc, 0x806bbb3d, 0xd62cf379,
+    0xacf1889b, 0x44c7535c, 0x4658e92c, 0x7fe0cb79, 0x84fe581c, 0xc48f66f5, 0xd43b7497, 0x87182afd,
+    0x9186ce9a, 0x76622580, 0x9eab62ee, 0x946a2430, 0x9bcdb19d, 0x4beda028, 0x74cf32ce, 0x0cbf1934,
+    0xcd8fc0b2, 0x92db25ad, 0x24137b22, 0x505eddc1, 0xbef16678, 0xeedc261a, 0x01038e8b, 0x64accbde,
+    0x760e7658, 0x0a8bede5, 0xb38229e6, 0x81d23b3c, 0x39765a86, 0x4ba9653f, 0x1093cfb0, 0xf5014170,
+    0x66a4cbdf, 0x2ffcb9fe, 0xf809b2d5, 0x5ba5c531, 0xcf412697, 0x4d4b12a9, 0x783cc756, 0x3da7d1ea,
+    0x1bd8889b, 0xce6be3a9, 0x16c4f5e6, 0x20488122, 0x548566ad, 0x1981b054, 0xf7c9991b, 0x3df12860,
+    0x35159e59, 0xab4027e6, 0x8bbc0fa6, 0x2345857f, 0x0547daa0, 0x8a68e6ba, 0xff14b9d3, 0xacf25a1d,
+    0xc2f9ec18, 0x74919e70, 0x121944d9, 0x82baee4f, 0xe5a1b6da, 0x0cc64a4a, 0x5cf5a8cc, 0x1dc99e1d,
+    0x24818290, 0x0e3747f0, 0x9b3706bd, 0x1653825b, 0xd22587f1, 0x051e8a17, 0xdcaaa6e6, 0xd63ab6e5,
+    0xb8f903c8, 0x2edbb999, 0x66643ca2, 0x32080ae1, 0x7fbaddcf, 0xffd5c64a, 0x28f44038, 0xe6feca2b,
+    0x2c4efdc1, 0x4e661f13, 0xc3b657bb, 0xfc373e37, 0x64a47f33, 0xbb32a049, 0xe035cced, 0x055b2830,
+    0x4d29904a, 0x98e981c6, 0x0dc8f9e4, 0x5d2c00a0, 0x627a20fd, 0xe366dd79, 0xc0d9a9c3, 0x74b16027,
+    0xd9b23e5f, 0xd596e0b6, 0xb1a9627f, 0xdf483f80, 0xec605651, 0x9c9f0c45, 0xf31349e0, 0xaee65465,
+    0x278ddb1a, 0x996d048a, 0xd76f5a54, 0x462a6b4a, 0x6192b890, 0x1f3d1f2f, 0xa29e91d7, 0xc065a1fe,
+    0xf21ad880, 0xecd456f5, 0xdfe4bcc7, 0x5efe6385, 0xc2865b1f, 0xd188b633, 0x6a6e9edc, 0xa4c6465f,
+    0x78ae7c1d, 0x1e9a6d79, 0x73105b2a, 0x39c875ba, 0xdb37af03, 0x5d8f2962, 0x81b84753, 0xf0cda199,
+    0xd51309e9, 0x409bb64e, 0xd227c797, 0xf09eb0aa, 0x51ac7bcd, 0x3babb545, 0xc1fb0d15, 0xa33a768f,
+    0x94c28757, 0xf9aeded2, 0x8e99e2f9, 0x87e3e795, 0xceff87be, 0x1b9b25dc, 0x03df0093, 0x06b586fa,
+    0x91f3dce1, 0x573e2579, 0x28205539, 0x987263fb, 0x5a3e67cf, 0x760392b5, 0x53f5e8e8, 0x8885242b,
+    0x00000000,
+    0xfbe8c3d2, 0x8b724a9b, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0904625697166532776746648320380374280103671755200316906558262375061821325312 */
+  { 0x00000000,
+    0x2909b483, 0xed411d9f, 0x9c3606fe, 0x46b0f671, 0x3c78e5bd, 0xbacc5261, 0x5b3175e8, 0x120f48a3,
+    0x4c9cf855, 0xe7209677, 0xeeef6b9d, 0x124a5559, 0x46118a77, 0x77b0818b, 0x0889960d, 0xa2af6d5e,
+    0x6104e381, 0xf33b97c7, 0x9bfba238, 0x5752ab25, 0x92eec2cb, 0x7a0a6f67, 0xd9b7bf0d, 0x9913c257,
+    0x350a29b8, 0x95a85bbf, 0xfd5e8eae, 0xd10a76b2, 0x7b348775, 0x1195eecb, 0xa61224e1, 0x1eb2460b,
+    0x3bce1bd1, 0x5cd6304e, 0x818f591d, 0x304409f4, 0x63db92d8, 0xc4008c84, 0x08df2b2f, 0x3dfa45c9,
+    0xa3084d8b, 0x78bec6a8, 0x1dbd39a7, 0xc71863df, 0xdc3d946a, 0x45245871, 0xb15abfdb, 0x7c0e41cb,
+    0xefc29729, 0x7f64a5a6, 0x656f29be, 0x16fae20f, 0xf3d27dc1, 0x6a2ef1da, 0x5cc8fb43, 0xdee3ef72,
+    0xd3874434, 0xad882480, 0x051160c5, 0x6fc3090c, 0x05b899be, 0x9885ba20, 0x9c3821ec, 0x03d01e69,
+    0xce247ede, 0xa66b7886, 0xb0589318, 0xb4e4c63d, 0x00274663, 0x353a7021, 0xdb0f616a, 0x95d8898d,
+    0xe657270e, 0xb7877066, 0x00706d0d, 0x6adfb8a5, 0xd2409685, 0xd6e826e9, 0x170b8e1f, 0x1c3304ff,
+    0x4d3b36d6, 0x79b72304, 0x7324416e, 0x7d2545d2, 0xe5a1d010, 0x2a8495f6, 0x224b4238, 0xf3c8b6ca,
+    0x5933e8ce, 0x113d9785, 0x70ae8c9d, 0x4b8719dd, 0x43b70f84, 0xe1bd9cb7, 0xebf61c2a, 0xb748bce7,
+    0xc7706528, 0xb253cbaa, 0xceea7028, 0x11db23f5, 0x69907ad9, 0x5adcd616, 0xbfe5b4cf, 0x50d8f242,
+    0x9791ce4c, 0xd4b4db45, 0xf760361b, 0xf3b1931d, 0x47eea73c, 0x561d2dd2, 0x6197d2f4, 0xab51262e,
+    0xf01e013f, 0x7447cdcd, 0x7ed7e049, 0xbac295bd, 0x63bcf500, 0xeed56142, 0x467fc084, 0x7eaf8f59,
+    0x105e9289, 0xe2e15ea3, 0x040faa3f, 0xd7c5c753, 0x52163776, 0xe70ddb9e, 0xb3600d4e, 0x2e34d005,
+    0x3dc4e93b, 0x36ca6465, 0x4b41bd85, 0x37e2f422, 0x62b72d73, 0x41ed8c7f, 0x756f763e, 0xf542a07c,
+    0x1970561e, 0x3c791134, 0x3303afb9, 0x050ba14e, 0x0c03f666, 0x5ce38f27, 0xc6cab5e2, 0x2bf2fd47,
+    0xbcd1db26, 0x6d885c83, 0x42d84cb7, 0x409b02c4, 0x640cf606, 0x668699f3, 0x69ac20ca, 0xc58e7825,
+    0x0fdfa5ef, 0xaf6b0d99, 0xd9ffe038, 0x4a3ff26b, 0x7b1d4bdc, 0xda4f3f04, 0x4c817f6e, 0x5786560a,
+    0xf5781f27, 0x08f45c48, 0xc6866a89, 0x7d13a707, 0xd3576d2e, 0x66db0dc7, 0x7c28cfa7, 0x02d5e455,
+    0x452ad203, 0xc3399c1b, 0xb8475941, 0x63474b5b, 0x22cf89ac, 0x771bb902, 0xc4e26183, 0x6c761fe8,
+    0x0c95de9a, 0x236c286e, 0x3ede53a2, 0x19d5160e, 0x11846d7b, 0xe726644d, 0x13ed292e, 0xc92039c9,
+    0x1efe6090, 0xb79ae44b, 0x633f9973, 0xd8e833b8, 0x52b2e486, 0x879ab721, 0xab0a64f2, 0xd17d136f,
+    0xb45316da, 0x896037d4, 0x93bd5036, 0x972180ac, 0x5b10a95b, 0x39063bba, 0xda3bdb19, 0xd1f3baf0,
+    0x09ca70da, 0xba900680, 0x23a34694, 0xf9012de9, 0xf99b253b, 0x31c72393, 0xf6ff93ec, 0x971f51d9,
+    0x10222c7a, 0xa04002e4, 0x91b7a4c3, 0xbdee4876, 0xf4569b70, 0xf5ac3e5b, 0x6605098e, 0x7f9dadc8,
+    0xa28cb5de, 0x34f00a40, 0x4a987b4b, 0x4deaa885, 0x26934515, 0x19189796, 0x1eda8ea4, 0x4f14d378,
+    0x0f3b1fe4, 0x8dcb078a, 0x9d09c659, 0x09669f4c, 0xc7a35b54, 0xbc52bbc1, 0x4862dafc, 0x7627fc0d,
+    0xcedd637a, 0x93d66a8d, 0x934935b4, 0xc7b26234, 0x27412be1, 0x16f50618, 0xa4d3a0ab, 0xb857f431,
+    0x63247697, 0xace2800a, 0x1e27c98e, 0x13f296b0, 0x59237676, 0x99eedb04, 0x8ced9f56, 0xb248cbed,
+    0xba9cd538, 0x6e95f899, 0x3b43bd59, 0x8e9ae17f, 0x7463a905, 0xd8d54db7, 0x18a28bcf, 0x16cf4667,
+    0xccfc88ff, 0x5cdb08b8, 0x6b167711, 0xf809cbdc, 0x0e9384af, 0x06794191, 0x23394c95, 0x64bfbe33,
+    0x75d5490e, 0x3df27172, 0x0ea8ebc2, 0xd49da385, 0x151547b4, 0xda20f6f0, 0xf95277a3, 0x3f0ff222,
+    0x60c0b53a, 0x372f5a71, 0xb1f43dcd, 0xf5ae33de, 0x8c6ffea0, 0x447d03a6, 0x26f0812f, 0x4e167395,
+    0x7696d177, 0x4a302d17, 0x3e32995a, 0x49fad40b, 0xa1f8f61b, 0x4aa39b4d, 0xcb7fac0b, 0xbc72ae92,
+    0xa5e7a371, 0x6a5974ae, 0xcbcdc3d2, 0x21feedd4, 0xfbf5a379, 0xad0b817c, 0x89f02973, 0x8077ceb9,
+    0x670400b8, 0x9b7eba1f, 0x07b1c005, 0x7796b620, 0x8092cacb, 0x697e0b0c, 0xdd4eda1a, 0x0c8821c3,
+    0x51f06232, 0x796bedac, 0xfbe96628, 0x362283a2, 0x0a320c66, 0x279e7996, 0x03528a12, 0xa854fac0,
+    0xde31d8fe, 0xd67a9686, 0xd6da3228, 0xd9055d2b, 0xb4f966e4, 0x33577cd7, 0x80c13438, 0x08652631,
+    0xfcdbd919, 0x486d4c6d, 0xbc4be844, 0xae2dab5d, 0xafe2e1a8, 0x2dc4ef08, 0x84a2ef47, 0x464bede7,
+    0x59e82116, 0x15bc56c7, 0xd3ebc3ba, 0xc2fc70d2, 0x212984b9, 0xcc79cf7e, 0x588424db, 0x0463a662,
+    0xdb195806, 0x217d2eed, 0x8c938231, 0x51c50132, 0xfdae241e, 0x5bf3dd8a, 0x0a7b3f77, 0xaa63ad86,
+    0xa7b32b47, 0xe78980ba, 0xccd92952, 0x24ac23cc, 0xcdc9b9f6, 0xc7f48fef, 0xb5f2208c, 0x777777c0,
+    0x32e4276e, 0xd72e1e09, 0x5c07075e, 0x9d49327f, 0xe5fb269c, 0x981be893, 0x0f080d12, 0x593b04bf,
+    0xb5878a8b, 0x34756da3, 0x841ea4cf, 0x1bc88ddc, 0x2658a4bd, 0xbbca60c0, 0x382d0c8b, 0xbeab2ff7,
+    0xb9fbd32d, 0xa5b2ba70, 0x45facd0b, 0x255902ce, 0xc3e0977b, 0xf4ca0c67, 0xc60244d4, 0xd62c7179,
+    0xfe2ca049, 0x483c8995, 0x9a9b6041, 0x19caa178, 0x449e87c1, 0x5212d1ff, 0x9f5bc950, 0x79277c13,
+    0x7bb0b404, 0x5d87740e, 0x345535d6, 0x71cd44df, 0x11985009, 0x2112090a, 0x83f2c222, 0x266af4c9,
+    0xee0bc42e, 0x713e21c6, 0xd0fa35e3, 0x8bc19a7c, 0xe4e54690, 0x5fd6d2af, 0xef1db738, 0x5391c73b,
+    0x36adb809, 0xdf293314, 0xc5926e78, 0x8eca227f, 0x4b1e2c83, 0xd2dc7b34, 0x468b39e3, 0x9bfd034b,
+    0x37ee73fb, 0x525c4e96, 0x9076aa02, 0x26331ee8, 0x21b0287b, 0x95e92f2e, 0x4e5a1b96, 0xd95b2e0b,
+    0x6b10a003, 0x61ea42d8, 0x25bfcdd8, 0x56c61e65, 0xaed735a6, 0x36be33ae, 0x4eec58b8, 0x7b7b0a6f,
+    0xa8cc98f3, 0x0c471e28, 0xa2d4c192, 0x912a3108, 0x0075dad6, 0x36ebd9f0, 0x885740b5, 0x09356592,
+    0xce237433, 0x497b5c03, 0x107c1fbf, 0xcd980ac9, 0x17ed9b45, 0x380634d1, 0xe8658c33, 0xcbec5e17,
+    0x3d9600a8, 0x05c3c15f, 0x3fc0a7f2, 0xd03490a3, 0x83df8164, 0xc041ac50, 0x53d12cb0, 0x41c7b05f,
+    0x313e7f2d, 0x192aae4e, 0x5616fc88, 0xd31e74dd, 0x7ee28e63, 0x9f22fecb, 0x0a5fdab5, 0x69125899,
+    0x0f8ca825, 0x08c8b7fd, 0xf994e312, 0xf4a09e80, 0xa097c0eb, 0xfe36faf4, 0x9c30232d, 0xf38df615,
+    0x36aba072, 0xf6211356, 0x4c1f9703, 0x5223cb5f, 0x269e8757, 0x8eb79111, 0x0e926ed5, 0x94dd63c2,
+    0x8f140c1a, 0x591034b5, 0x6862201a, 0xa0f7d06a, 0x3bfbecd5, 0x6aec16a4, 0x56fc650d, 0x50b96bad,
+    0x6df2c6a4, 0x76c5d319, 0x63a56751, 0x8d1e1d2b, 0x8e1b6819, 0xa7e32501, 0xf24a00bd, 0x9489e305,
+    0x977c4c97, 0x9436c217, 0x2d005c16, 0xecf57851, 0xc6d21c05, 0xf25f9356, 0xb3f6bad9, 0x4d0b1a7e,
+    0x75860112, 0x9c5a4a7f, 0x8fb45fef, 0x0b87347a, 0xcc76272d, 0x28131b73, 0xa732040f, 0x1858176b,
+    0xf9263f5a, 0x6f682dae, 0xa44eaefc, 0x3a3189d7, 0x6fc06bc3, 0x436b2741, 0x6d48a072, 0x21ac121f,
+    0x9b23a5ee, 0x9df5c93e, 0x34288f61, 0x492e45f7, 0x21e8e771, 0x7c3ff74a, 0x759bf8ce, 0x9418dcdc,
+    0x20e25b2a, 0x1f7ea86b, 0x35e5127c, 0xf72bdcb8, 0xbd62de3e, 0x99fe1518, 0x745391f5, 0x2a9e60fe,
+    0xc5a2b8a6, 0x07fecc71, 0xf0ff330f, 0xbbfaa3d6, 0xff6ecebd, 0x2dd81fe7, 0x3f698653, 0x86f1d00e,
+    0x5938fbde, 0xee227a0e, 0xc2720504, 0xe4fb84a0, 0x291e6376, 0xe59e106d, 0x07752cd7, 0x7c88aca2,
+    0xb6fbead8, 0x945e254e, 0xdbf7f9b9, 0x5174629f, 0x12cf1c52, 0x8768c985, 0xf36d56a4, 0x9070f8ab,
+    0x4f80d186, 0x2ce4b7ea, 0xe09ac292, 0x8a35d924, 0x1fbe6e15, 0x0ef793d8, 0xdb53ee05, 0xb521f090,
+    0xa103ff3a, 0x51d40ebc, 0x549a8ae6, 0x64f7f1c7, 0x5558c054, 0xe63cd003, 0xed660d4c, 0x07142b2d,
+    0x373d5bda, 0x21e4f190, 0x238b5530, 0xd71a4701, 0x09c9dadb, 0x1c4bcf01, 0x9c85798c, 0x962b5be9,
+    0x92371058, 0x85209104, 0xbcce3665, 0x9b00b83c, 0x2f644c36, 0xb1d2283b, 0x3de1c562, 0x7d6fa939,
+    0x2c6d873f, 0x54ca9352, 0x6269085a, 0x5ede2753, 0x99e4e12b, 0x03e41de5, 0x612ed7aa, 0xcbeaca28,
+    0xb536da7f, 0x9edbb918, 0x381eb861, 0xdfa36572, 0x8d398cfc, 0xe31dce48, 0x1ccd0020, 0x1c3db51e,
+    0x3c44293b, 0x95f75970, 0xaebc8840, 0x4519ce70, 0x5ebc30b2, 0xa935515f, 0x6873ab0c, 0xc01ccf7d,
+    0x1967d557, 0x77ff3c01, 0x752789c4, 0x7f212dda, 0xedc7d9bb, 0x12cc71ae, 0x4d55cfd2, 0xb2df5ba8,
+    0xa44db4c2, 0xbf772e59, 0xa7a99c4a, 0xe0e0d5b8, 0xf80521af, 0x54204980, 0x1aeca977, 0x1f22b4a8,
+    0x9b022502, 0x739433ce, 0x2c9cb76d, 0x5752c1d8, 0xb73fbbd7, 0x03a2e5d0, 0x0c0c81b4, 0x5aa01963,
+    0x67ca4ba5, 0xb2b6a3cb, 0xaa05e97f, 0xc4ccda68, 0x9555edb9, 0x43342292, 0xee287a64, 0x0fae8a31,
+    0xdc1d4b17, 0x7e1ea187, 0x027517ba, 0x94a9cb1f, 0x4a64a30d, 0x41ca1c5e, 0x99154ac0, 0xbc59f809,
+    0xd8c932e3, 0x3caea489, 0xfafe3755, 0x8c719c02, 0xa76fcd62, 0xbb53940a, 0x292e9598, 0xa0f34046,
+    0xa9f83559, 0xec4a3c30, 0x1c6b15d3, 0x6703e846, 0xc20389b6, 0x343aeb21, 0x3cd19c57, 0x19edfef2,
+    0x92b265bb, 0x5551c39b, 0x8768ed85, 0x7146f722, 0xa66722bf, 0xb9cbb4d3, 0x5b143123, 0xc38da0f1,
+    0x5b5c448b, 0x0e4c1291, 0xce45bbd5, 0x09036f7a, 0xb54eb022, 0x6c7da4f7, 0xc47685fe, 0xb1d31798,
+    0x15fa1137, 0xe187bbda, 0xdcf2a56c, 0xf411fd98, 0x83da78fa, 0xec5b3111, 0xf1db110e, 0x5224cf1d,
+    0x9b80f655, 0xdf2d9f16, 0xd2bb968d, 0x62fad8c2, 0x9ebcb50d, 0x212e2c6a, 0xa8d9bd44, 0xddb1ac71,
+    0x11b9e7fa, 0xf344b42a, 0x5388ceea, 0xe04dc81c, 0xac255a3c, 0x01e29ee5, 0xc9371fe0, 0xe8a59094,
+    0x68ca8301, 0x6f3e2fd6, 0x3a8cc3bb, 0x2f5e273c, 0x8902f176, 0x93b79dd0, 0xdfbc3ea5, 0xa6f0fb2f,
+    0x5226ba8a, 0xf3d69d36, 0xb0896d62, 0x6eb7a2e0, 0x495d4269, 0x83faff9a, 0xc5b0daeb, 0x793d5fa2,
+    0x354f741e, 0x659bfc93, 0xd83cd8a8, 0x93d92eb1, 0xf414bda6, 0xce1780ff, 0xc5490424, 0x32a23b2f,
+    0xeba30667, 0x5f8b4d67, 0x29f500da, 0xbcb6f002, 0x74e7ec3e, 0x3f3d8b14, 0xa15df2ae, 0xfdb794ee,
+    0x6394b3d3, 0x471e1cc5, 0xbc8e4024, 0x11846c33, 0x7a2606cc, 0x73a54aec, 0xb3f0fc4f, 0x264f0bd8,
+    0x86d88879, 0x070c3efa, 0x00d0199d, 0x6027e42a, 0xae95d67d, 0x3efa9eaa, 0x75be7570, 0x0a110384,
+    0x50a59a53, 0x5e3f49a5, 0x7ab5e533, 0x3bc04ad2, 0xe2465c20, 0x1ed94d49, 0x92129e0b, 0xc7a285a7,
+    0x4d6ec66f, 0xdb7a0e8e, 0xa487c9e0, 0xf00b12d3, 0x1f97eb8d, 0xf11f3ac6, 0x2ce10415, 0x13efe7e1,
+    0x41a00b89, 0xf1f1a56c, 0xbbfc900d, 0x4d7be654, 0xb6498104, 0xcbcdb3df, 0xfae76025, 0x509b9512,
+    0x711ac0a6, 0xa63e2428, 0xc61ad98e, 0x65376dff, 0x356e077b, 0x07c37adf, 0x2e1b5034, 0xe475c7cf,
+    0x51b8aa14, 0xdbfa0cee, 0x44f9a577, 0x21bae669, 0x38f05795, 0xabb86132, 0xc2115210, 0xb68f290e,
+    0x1dea1806, 0x51ff775f, 0xbda11224, 0x80bfccdb, 0x442faa2a, 0x9f09cbb6, 0xe52ade69, 0x3c3427fd,
+    0xbbeaee7d, 0xe7713f2a, 0xbe65872d, 0x7cbb002c, 0x8baedbe7, 0xcda00c20, 0x9f359b5c, 0x3bb96aa8,
+    0x826589c9, 0xb5f8c7ff, 0x7896fdf7, 0xcb130b0b, 0xcf4b0d7f, 0x26a999eb, 0x34231e0a, 0x7487d690,
+    0x5e2e8cbf, 0x7968662b, 0x3ad50a4d, 0x1ab96a22, 0x7e6d30e1, 0x2bacad65, 0x7421b9d5, 0x8032624d,
+    0x7f117381, 0x73bd2425, 0xe5b76a2d, 0xd2312592, 0x6b886167, 0x80935749, 0xb5f94fc0, 0xb1374450,
+    0x7a6064af, 0xb50d5ad4, 0x2b4e2631, 0xb2d01de3, 0x520d5ba6, 0x9365dc63, 0x73baf375, 0x35a58f9f,
+    0xfb072178, 0xb392571b, 0x0160edd4, 0x310c25e0, 0x5bc04794, 0x17950b03, 0xccfc7d03, 0x47906f48,
+    0x01c12a94, 0x960f8b99, 0x4f67474e, 0xe0494a55, 0xd2dfc992, 0xf37101fb, 0x0266aa3d, 0xe3cbbfdd,
+    0x9e0dfcb4, 0xff99d5f6, 0x971adc1d, 0x282cdf36, 0xc5f38be1, 0xdc531e32, 0x90fda975, 0xb4bdb51a,
+    0x590f503b, 0xdd3a7905, 0x41629f81, 0x0c4510ae, 0xff19fd46, 0x6d84d819, 0xf6df2e68, 0xd017fab1,
+    0x966027de, 0xe52e5a04, 0x07abbd85, 0x953084c2, 0x503c1266, 0x2fc47f0d, 0xfef6b498, 0x4935acdd,
+    0x2276109a, 0x3bd86836, 0xab05b3e1, 0xe9a30517, 0x24b89124, 0x32efdaf5, 0x845da38d, 0x3aa7a29b,
+    0xb45b713a, 0x779b7c30, 0x359577b5, 0x1d5f1937, 0x092f4c5a, 0xc91d0796, 0xe1ca6231, 0x7f281aa5,
+    0xec34a0f7, 0x4bb5764f, 0xd84deed2, 0xd9c1f93d, 0x12b6d46b, 0xf4952533, 0x22efea14, 0x404a12a2,
+    0x763d636b, 0x4b35b266, 0xc3ad5206, 0xf4b02004, 0x9ae6b3f6, 0xfca68d87, 0xc3452e8b, 0x58f2a69b,
+    0x390568c0, 0x48936d26, 0xf1a47602, 0xc020bfde, 0xf68611d7, 0xa056255a, 0xea4ad0c8, 0xc80136fb,
+    0xea931b58, 0xd8863b2a, 0xcc2cf8e4, 0x0a25d418, 0x66df438c, 0xf122ba74, 0xd6cd1c8c, 0x1b2c696d,
+    0x24e50d0e, 0x5006e586, 0x4d6298a8, 0x11059a7f, 0x0073f7fe, 0xf6ae077d, 0x3eb1eb47, 0x8d2a61d4,
+    0xaca2fc26, 0xf6d4c8de, 0x3aad438f, 0xa1473daa, 0x25819d2c, 0xcf91d10a, 0xa47ae332, 0xde1fa24a,
+    0x5beeb710, 0x31db6f0d, 0x0a07b747, 0x53531824, 0x6cee9fc2, 0x2ac01fca, 0x9969ead5, 0x753fcbcd,
+    0x7c72fdfd, 0x0ca342b4, 0xe2ad24c8, 0xe72db396, 0xfe8ca451, 0x011cb79d, 0x3d2c1697, 0xfbf145b0,
+    0x5e5d251d, 0x3efe1930, 0xdec268f6, 0x4aeb22ac, 0xa4bd8a96, 0x65f8855c, 0x55f9aea4, 0x95365042,
+    0x990d8f79, 0x54d09bbd, 0x11da9d87, 0xc9a87dfa, 0x304192f6, 0xa55b99da, 0x911e6284, 0xe430cd13,
+    0x0203e2ad, 0x38bec970, 0x371fed59, 0x49e79d38, 0x2e8bf065, 0x2c9f9104, 0xd2b7ab7a, 0xdb550014,
+    0x196c472c, 0x965b89ec, 0x483d5cbb, 0xd0cb708d, 0x75478055, 0x5b6ca829, 0x13108666, 0x80daf8d7,
+    0xd15d6915, 0x39c06dce, 0xd9b19f56, 0xe993bc13, 0x67a57006, 0xb9753059, 0x58ddd506, 0x18a7384c,
+    0xc8f4c406, 0x0176aff4, 0x67b187ac, 0xf988713f, 0x3b515dd4, 0x04e25193, 0x190b2dd5, 0xbaf267aa,
+    0x00000000,
+    0xfdf461e8, 0xc5b9254d, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0452312848583266388373324160190187140051835877600158453279131187530910662656 */
+  { 0x00000000,
+    0x9785a8e3, 0x9ea01360, 0x59aeca79, 0x85b310b1, 0x2b7f4104, 0x57d32321, 0xd5f952fb, 0x9677554d,
+    0x311b93ab, 0x70bb4c30, 0xadb58cef, 0x6e8d1671, 0xa1e006d5, 0x216490e8, 0x46084831, 0x0022c77c,
+    0x483f1795, 0x88540a65, 0x950049b0, 0x3015640f, 0x9ba242d0, 0x54b3ea68, 0xd33e895d, 0x92338f14,
+    0x0c513d60, 0x0f19666b, 0xd38c3638, 0xd72750fe, 0x99cb7bd5, 0xb11c5efb, 0xddb434f0, 0x3c3307e3,
+    0xea95c633, 0x152abc25, 0xb604bec4, 0x88d1713b, 0x2a2ab000, 0x5ae1634e, 0x60ad84f4, 0xe352c7a2,
+    0xe07aa6be, 0x5aa5a8a7, 0xd0b9f12b, 0x55854f6e, 0xe854dce1, 0x542c9a5f, 0x7dd15748, 0xf33020d4,
+    0xfeb43ada, 0x5cc52296, 0xdb3a43ac, 0xde5a0a43, 0x0fb555db, 0x3d72999c, 0x3b9c627b, 0x6e7db2fb,
+    0x0d18b1f6, 0x6c6ee4d3, 0x8655f0f9, 0x95a1691c, 0xbdba146b, 0x52613927, 0xf0f0f546, 0x4204969f,
+    0x5bf40ca8, 0x504d303e, 0x2299e99a, 0x815407ae, 0x642fe6ca, 0x5d9c2f21, 0x1d445eca, 0x37537d67,
+    0x183cc130, 0x6d0c6092, 0x62289ec1, 0x87dce1ad, 0x59cce070, 0x241f6904, 0xd2dab61f, 0x270844cf,
+    0xc64ad3d8, 0xfd1366af, 0x3a37f5a2, 0xba51fa8c, 0x9155f478, 0xfa9d750d, 0xf82d2361, 0xe889fb75,
+    0xebf318dd, 0x775ae691, 0xb41e8f27, 0x859d9ea2, 0x9f4490d9, 0x16d73ee4, 0xf197ec33, 0xca9f0589,
+    0x5edb1fb2, 0x04abde3e, 0x9aa303fd, 0xf59599f9, 0xf153b1db, 0x45b24dc5, 0xe301e024, 0x7d905b0c,
+    0xf3cf25a1, 0x23ab6a28, 0x2e9c3f7a, 0xb094ea58, 0x0d4e9d8c, 0x43d71d0d, 0x371e127f, 0x1280c388,
+    0x7c8e55b6, 0x40da6e1f, 0x60c0d940, 0x40ba2c10, 0x832a96f7, 0xc9937ea4, 0x4ff63f22, 0xd143cde4,
+    0xb23e61c2, 0xba668b8b, 0xf46bcb39, 0xb38d3a1b, 0x0a5f8259, 0xe3b414d7, 0x5c9e1250, 0xa923ade5,
+    0xb360e446, 0xf16a5e45, 0x68038fa1, 0xa75496e0, 0xc5c144f1, 0x788f78bb, 0x2111513a, 0x5e198c38,
+    0xb725a6c1, 0xc63b72d5, 0x4d7b9638, 0x3e4df125, 0x77b7dfe4, 0x8de34226, 0x43cebaca, 0x84345364,
+    0xe9940a7f, 0x738da0b1, 0x1b383b38, 0x0e7df76a, 0x404d9d32, 0xf8a90713, 0x256806c4, 0x2e48a157,
+    0xc55d30ab, 0x6e2c6826, 0x2d359ce0, 0x3a600c8c, 0xa4bbbeb3, 0x2649402c, 0x9d5d060f, 0xd4d3ef71,
+    0x0a2abc5b, 0xd7ed0786, 0x72634bf4, 0xf5487e4a, 0x0034cbb4, 0x98da7fdf, 0x178afcf8, 0x2db2b822,
+    0x688ce692, 0x8a2c4cec, 0x840913db, 0xe8d4eef9, 0x30d3043e, 0xec623efd, 0x23ba4e9c, 0xa6cb8020,
+    0xff90ad1a, 0x4b505fc5, 0x5647917c, 0x028baa08, 0x324a5e41, 0xf015d155, 0x191e5854, 0x479fc849,
+    0x4237b4e7, 0xc0672b30, 0xa890c31a, 0xc3a7fce4, 0xca6d0220, 0xb2787ce4, 0x5e208f79, 0x4398508d,
+    0xb1ef9279, 0xce4dd14f, 0xbc08deba, 0x1ea132d8, 0x1ba935a8, 0x5dbe93b9, 0x3b4aad7a, 0x3c6fd2b0,
+    0xdfbe54c3, 0x9aa39dc6, 0x4681b8eb, 0x65f38fbb, 0x6de8453d, 0xbf74ec11, 0x96572176, 0xc3486441,
+    0x3bf4e450, 0x5c22a575, 0x5edbfe50, 0xc619e8df, 0xace9be56, 0x3c2a4607, 0xd99d38de, 0x397de369,
+    0x2f73cbab, 0xf16b90fa, 0x9bb33651, 0x8da25eb4, 0x4c6d6d9d, 0x9b5af297, 0xdbc19180, 0x032bc13d,
+    0x0a9c4256, 0xebe3f85b, 0xe757576e, 0x9aeaf858, 0xc9ff4640, 0xb7b06dcc, 0x3a5b01db, 0xad44b31a,
+    0x629fe1a7, 0x7edba087, 0x6f91ed7d, 0x60a1b7da, 0x307d67e0, 0xdbe8bfe0, 0xcc17bfd7, 0x2aa520f8,
+    0x2a94bfcd, 0x1920f746, 0x14943186, 0xa7bd43f9, 0xcdc2c37e, 0xfe961540, 0xc93849b4, 0x7f3dd8c5,
+    0x976d68b9, 0x7d1e47cf, 0x5ee949e8, 0x0e0d92c2, 0x575d56dc, 0x341533b2, 0xbbc97bb9, 0x114b0a70,
+    0xb5f1485b, 0x459a22bd, 0xd63407da, 0x7e1f29c3, 0x9e5480ac, 0xe68d1e36, 0x41c71c76, 0x6f003f60,
+    0x440bfadb, 0xf8a36eb0, 0xd67a22bd, 0x9e3c80bb, 0x5c61374d, 0x45e0ff72, 0x5f1479e0, 0x8bbf7f89,
+    0x5bd3f071, 0x9e6e38e4, 0xedccabbc, 0x33e27716, 0x79555df0, 0xd74f56f3, 0xd3db7792, 0x4b019687,
+    0xfd4a1e0b, 0xd8295dca, 0x157a8538, 0x3d765651, 0x33d640fc, 0xc913a104, 0x2cfbf3a9, 0x63ab69c1,
+    0xf5b9c8f5, 0x6eb435d3, 0x1672b761, 0x0cd07dab, 0xdf68ff1a, 0x3b9d3fe6, 0xc764376f, 0xb6226ed5,
+    0xac5b4aad, 0xcb61f114, 0x020c62e0, 0x72a38c3e, 0x367793d2, 0x2939f4e4, 0xe3eecebe, 0xb4703eb0,
+    0xcb6b9d4f, 0x0bcb1e40, 0xecd0b5fa, 0x0ca6d913, 0xf1bdddb4, 0xea283b07, 0x2ef8155d, 0x54f482c8,
+    0x18cfe53c, 0xbaabb262, 0x33b2a392, 0x4b63567c, 0x2b58c84a, 0x5a987c34, 0x96096625, 0x6e54dbd4,
+    0xaed78a94, 0xb78d34f7, 0x2e7e12d3, 0x6dac4a9f, 0x66b847cc, 0xb8cc588a, 0x95ab381b, 0xc50632ac,
+    0x63af1996, 0xd8199c6d, 0x24322dc6, 0x40dfe378, 0x2072a08b, 0x7071cd4d, 0xe68f2d3f, 0x3d6219fe,
+    0x0423f499, 0xf232f624, 0xeb726773, 0x0827795c, 0xc52604cb, 0x9c3a269d, 0x1021af29, 0x39d29c05,
+    0x6dfebc9b, 0xe5de6efe, 0xf1a59855, 0x30a8bc21, 0x8029c224, 0xe91ee393, 0xf8e44cc5, 0xe2770ac3,
+    0x926c416f, 0xb34c7cac, 0x0539a10c, 0x8443d30f, 0x09d458e0, 0x58cbf812, 0x869dbd65, 0x5f7617d8,
+    0xec8e57ae, 0xaf56c6be, 0xd6eec08e, 0x6d0988c4, 0xbfc03c29, 0x2c2ddfcb, 0xcf3eb26b, 0xd4442834,
+    0xc660442c, 0xf4e38353, 0xf13735ca, 0x2ab1d627, 0xa24d943b, 0x890c318c, 0x3b7991ff, 0xa0db538f,
+    0x21116cc4, 0xe5df9e4d, 0x68338412, 0x347d9b51, 0x1eb6b83f, 0xaadec217, 0xf33e7eec, 0x7ba3a64a,
+    0x9c4af973, 0x47969187, 0xa0d82b29, 0x49e8a48e, 0xd87878f2, 0xa91c5fb8, 0xbe748ab6, 0x3b9adf6c,
+    0x5ee6d38c, 0x0e2931e8, 0x938056bd, 0x43d67e44, 0xc9a101b3, 0xd67961b8, 0x0a951ba9, 0x45152f21,
+    0x9a49379d, 0xe11bc780, 0x2330b13a, 0xe675a778, 0x2eac9765, 0x7ba69990, 0xb0667d73, 0x678291a8,
+    0x86da7702, 0x018ac90a, 0x786ae3f5, 0xa4f4add6, 0x8a10a641, 0x797f4369, 0xb27e8cbc, 0xcf4276bc,
+    0xa3dacdb1, 0x47c7f143, 0xffa37771, 0x5594dd99, 0xb9090292, 0xd72298d4, 0x10890b6d, 0x0aff3995,
+    0x16dee1d5, 0x39b33bfa, 0x46ae265a, 0x9e382d0b, 0x1a270010, 0x2abe68ba, 0x835c2a34, 0xb46ce557,
+    0xeb5a9573, 0xd8d4e1ee, 0x7596946a, 0x51834ddf, 0x45f0b8a4, 0x9adaab37, 0xac6a30a6, 0x419e543b,
+    0xa0900a59, 0xe89ea0ba, 0x22cd3a82, 0x9b39c734, 0xf44a9ded, 0x0d203b42, 0x3ecb2c59, 0x33597789,
+    0x683a75cf, 0x586103d9, 0x52d78180, 0xe60b7bd2, 0x4a037c22, 0xc200a9b7, 0x06bc448f, 0x9f681dba,
+    0xa9995996, 0x7de0b027, 0xe281d48d, 0x07bdd40d, 0x56b377dd, 0xfb5c641b, 0x47a4d73f, 0xf0b57a97,
+    0x0d3bb176, 0x5079eb72, 0x3306259e, 0x285fe7bb, 0xf375fc7f, 0x3abcb37e, 0x313d033b, 0x6914d9b6,
+    0x64447c5b, 0x8f6a270e, 0x06711b7c, 0xedf45088, 0x395a960b, 0xd6a8bb63, 0x7bcc9af3, 0x709f5354,
+    0x252a8dd0, 0x07b0471b, 0xd12cffbc, 0xa13f5554, 0xff0797d1, 0xcae7c630, 0xda79a87c, 0xeed0280b,
+    0xcc35d6e0, 0x3fa0865c, 0x6ad066c4, 0x7e3478d0, 0x03803423, 0xcaf7ca98, 0xa32699d5, 0x666d5cab,
+    0x00be6df7, 0x7850728b, 0xd48b09aa, 0xed0297b3, 0xf6e0b3c8, 0xbfb8adfb, 0x89f82550, 0x07cd3bec,
+    0xfc2de7da, 0xa7b338e7, 0xc72c4158, 0xa7b9268c, 0xab78d735, 0xcc92b297, 0x3a3682dc, 0x593cc585,
+    0x668d1487, 0xbf06843e, 0xcff133e1, 0x9fa3d4d7, 0xd4163e73, 0x4ba59c0b, 0x5dda0960, 0x31908df9,
+    0xf4a2dd59, 0x0e64742f, 0x8872f84d, 0xffcdef70, 0x858743b8, 0x76c96109, 0x4ee9b866, 0xf7278b1f,
+    0x59f959e3, 0x8076ba9c, 0x74cea95f, 0x8640e89f, 0xd00f357d, 0x2c295785, 0x0c146609, 0x12144056,
+    0x404f593a, 0xadf2625e, 0xf0838ec0, 0x6b19aaae, 0x177aebc8, 0xa4a1c058, 0x65f3c258, 0x15a66e93,
+    0x69502903, 0x3d104daa, 0x4a90e415, 0xac9203ce, 0x66e0a488, 0xf9e54d46, 0xf951cbb6, 0x6c738666,
+    0x969af802, 0x0e50f459, 0x806f1f81, 0x3486af90, 0x8586f552, 0xf89a7149, 0x6c435b61, 0x59ee3578,
+    0x789a6544, 0x265e58db, 0xd1ded128, 0x3e976d8c, 0x6c40020a, 0xd1be5b5e, 0x757171fd, 0x237096f0,
+    0xd0705994, 0x001ff4d5, 0xd98ccb72, 0xcb0e0a3c, 0xed0307b9, 0x7ac64ad7, 0x53bfb181, 0x1aa95ffa,
+    0x4676cc80, 0xb96242c5, 0xa419f17b, 0x5c8224c1, 0x189fe3d8, 0x0f1e7a6d, 0xbac319b1, 0x5185cb27,
+    0xaa1a19d4, 0x0040302d, 0x07bc00fb, 0x10ad5a20, 0xf1dd95b2, 0xde26e1d4, 0xb743c67b, 0xf17ad9b2,
+    0xbee73dfa, 0x13bfee38, 0xd27fbe4a, 0xc9fc3741, 0x250427aa, 0x17e2c9e3, 0x057ed336, 0xac03787b,
+    0xd7775228, 0x4cb9f875, 0xb6d1621e, 0x3192c6be, 0x113392c6, 0x58385c91, 0xdd2c5a0a, 0x4c8ef2d3,
+    0xb07f2b7e, 0xcb7c6c51, 0x7ca1f5db, 0x9c8a0eaa, 0xce516c9f, 0x580d3d46, 0x50b7cd07, 0x5b14827a,
+    0x1e18597c, 0x6c122645, 0xec46a30a, 0x840a8a61, 0xd5c30db2, 0xedb06986, 0x243c813a, 0xb810aa49,
+    0xa08b8492, 0x626dd1a6, 0x7e1642d8, 0xd98d09c4, 0x7deedc49, 0x0285ee23, 0x0efaa19a, 0x3ff7b7ec,
+    0xd5102f44, 0x07976530, 0x9434e66f, 0x7777bd34, 0xe456b6bd, 0x7ff56558, 0xeb73663d, 0x0314ffaf,
+    0xbcb57941, 0x11333a7d, 0x9159bea4, 0xdf733288, 0x73661595, 0x59b5ca6a, 0x4cea9a17, 0xe6617a6b,
+    0xc7743900, 0xda1c7919, 0x3b16644c, 0xdeea1363, 0x813fbb5e, 0xe2b69f1e, 0x2e5657d5, 0x674f5f16,
+    0x5691b174, 0xc24066b6, 0x344f4e4d, 0x27a03659, 0x2aaf98e5, 0x542f274b, 0xf459b3e6, 0x6fb237e6,
+    0xdb96cdb3, 0x831a9949, 0xaab7ae83, 0x5fd424c7, 0xc4991b65, 0xf182f74d, 0xbe5f6003, 0x3cbc3b38,
+    0xe7d0305b, 0x726f2313, 0x63a1187e, 0x34e67668, 0x55270576, 0x96cf3253, 0x6a41586f, 0x72440958,
+    0x8a324434, 0x0ed01af0, 0xad3f7b0d, 0x537c0b3f, 0xed4f4130, 0x477a48b2, 0x0a56a681, 0xd0a8bab7,
+    0xa5003820, 0x3f4da667, 0xa652adbe, 0xfb58ddcc, 0xc185a30d, 0x1d6c0df9, 0x9a1fadbc, 0x696dae69,
+    0xcf2b2c29, 0xd11e9c30, 0x7b4e85f6, 0x5098cd99, 0xade6c014, 0x760280f4, 0xfb397e0c, 0x637b5290,
+    0x82945432, 0xc61810ee, 0x232686cd, 0xdced2184, 0x4dfda67e, 0x67fe4a2a, 0x3849e389, 0x49369270,
+    0x4bbb0234, 0x61f65f09, 0xa01e8b96, 0xb4ecec4f, 0x5abb3cf9, 0x2dee5a18, 0x5cab7458, 0xdae2f644,
+    0x7cfd1d2b, 0xe5830d55, 0xbf7a2b61, 0x49cf0e32, 0xfb2c25b0, 0x7bbb93d6, 0x6587b54c, 0x5220fb5b,
+    0xadc2e9c5, 0x91bec9fd, 0x93af1f18, 0x396aba9b, 0x14c8796e, 0x6235f2a1, 0x9cccd611, 0x1b69beac,
+    0x73303384, 0x5576d936, 0x71cf4026, 0xb8bd0498, 0x39f4cd9e, 0x6e075813, 0xcdec6ffb, 0x84dc0070,
+    0xc72e4810, 0x8ca752a0, 0x17d153cb, 0x3f6a8608, 0xec64e163, 0x4167cb3d, 0x131abe1f, 0x7ee1bc7b,
+    0xb19a5431, 0x951104fa, 0x6435096a, 0x5404f59d, 0xf2bba15f, 0x52ee91f2, 0x5f306221, 0x7d003ccd,
+    0x28898228, 0x2fee85c8, 0xd053481b, 0x0015787a, 0xf58a801a, 0x8f37fece, 0x01a55387, 0x37bc5ffd,
+    0x790194f7, 0xa3cefb2b, 0x922fce4e, 0x151518eb, 0xd53b5640, 0x5974e391, 0x78135774, 0xefad4b01,
+    0x633cdae6, 0xbf566473, 0x9ae8abcd, 0x950395bd, 0x374965aa, 0x48324828, 0x1187cfeb, 0x2613099e,
+    0xf2c9d13a, 0xc1866d30, 0xd55da35a, 0x76b1348c, 0xd63b51c5, 0x18a2bef2, 0x7026caee, 0x96b6c962,
+    0xa1b6a6a7, 0x88562927, 0xdbddc4a5, 0xaa678232, 0x4e649691, 0xf7c39e7f, 0x2dee664a, 0x7487b552,
+    0x41fcbcf5, 0x5d10b18a, 0xc04d172b, 0x3a57b163, 0x42ada66e, 0x6673ccf6, 0x44e03ea5, 0xba12c319,
+    0x6bb92237, 0x1b439f32, 0xe17c4a83, 0x49a0508d, 0xc78eec54, 0x956ee1dd, 0x461c1a94, 0x03402fdd,
+    0x0162768a, 0x6db5fc93, 0xcb8db79a, 0x37a6243e, 0xe3413a37, 0x9bb4ad7e, 0x7e1feb8a, 0xd8782330,
+    0xcbff3972, 0x1ba4ef7c, 0x6cf69c79, 0xec8f40fc, 0xe150580d, 0x55a88535, 0x2d220ecb, 0x90f936be,
+    0x5a47d8b2, 0xc3770635, 0x4d740ef0, 0x9009be46, 0x921d4d81, 0x84a0bea0, 0x67627a97, 0xe6301c2c,
+    0xd81701f8, 0x27061d7a, 0x1ff6c47f, 0xf4fdd047, 0x66f8c1c9, 0xbc963043, 0xa1c2421d, 0xcf96bca3,
+    0x43456741, 0x37b66109, 0x0275d7bd, 0x0382309f, 0xe3a1c22b, 0x382dd2ec, 0xd5df2723, 0x9c22d38a,
+    0xe7077674, 0xebe8873d, 0x5b76623f, 0x7396abf1, 0x9d2b8d36, 0xdfe36df9, 0x06595e85, 0x305f1385,
+    0x38ccdba9, 0x058b1945, 0x70d7c312, 0x9bcf6d44, 0x449d8565, 0xd9c5cf7d, 0x6a262801, 0x2a42f31b,
+    0x9a9488dc, 0x1d4e723a, 0x8b86c51d, 0xc1d1b2bf, 0x2005927b, 0xcf0fcc16, 0xbc332e19, 0x57aa981e,
+    0xc0f823a9, 0x80130c16, 0x7b576d2d, 0xc165f8e1, 0x5d6ef7e6, 0xe982e094, 0x4b4aff46, 0x695b0a1b,
+    0x51e24e15, 0x0e3284c2, 0xc2dad4a2, 0x67d1fcad, 0x6b4a223d, 0x58933666, 0x8b90ef36, 0xe224cc11,
+    0xcbd386b5, 0x87321d9d, 0x531667f8, 0xc5edb506, 0x458ae1ca, 0x032a966c, 0x0a7e17ac, 0x0cae6885,
+    0xde6924c4, 0x62a52962, 0xcee040e4, 0x79773969, 0xe4b014c2, 0x94787af5, 0x3fedecc3, 0x51dfcfbc,
+    0xf00ec1c8, 0xe50d18f2, 0x4edf6feb, 0x6c034bc8, 0x48d8bd42, 0x9e1d22d9, 0x835384b1, 0x3bb0b4ed,
+    0x97f926f6, 0x8d0c5df8, 0x7ae2d63d, 0xa3c54da5, 0x0e05d5db, 0x975b5db8, 0x51c41dcb, 0x8dd84696,
+    0x04b508fb, 0xf61f5b7b, 0xd22a56d4, 0xad12d2aa, 0x88318a18, 0x6a73f534, 0xdab7690a, 0xa9d8ce01,
+    0x5c37a308, 0xa3b59df4, 0x6c44c942, 0xeca1380d, 0xcea19fc4, 0x2884ba9f, 0x60d89ce7, 0x4e29dec9,
+    0x49500af6, 0x658dd4bd, 0xef0e48b7, 0xfb120fd2, 0x241cb4c8, 0xad67ec6f, 0xf952f1d0, 0x07f63318,
+    0x72d1e9ef, 0x427712dd, 0x4f70f8b8, 0x270647d5, 0x1b398a1c, 0x892eb986, 0xadce07c0, 0x80e09dbf,
+    0x3f674852, 0xbb73e5f6, 0x0489800e, 0xe4a6164c, 0x513c2e91, 0x97f3122b, 0x546b117f, 0x13fcf910,
+    0xb6ccfea5, 0xd1e7fce8, 0x4ff77f20, 0x5ecb8588, 0x5b068a47, 0x0878858e, 0x41d95160, 0x461905a1,
+    0x41f1c3f9, 0xc2e5495d, 0x54076933, 0xab5d212b, 0x4f90f477, 0xeeb42859, 0x23900817, 0xbf0c36fa,
+    0x9c9561a0, 0xc0bd5c8a, 0x3077c22f, 0x26affc80, 0x7223e9dd, 0x7b573ebe, 0xddf342a9, 0xeebd6761,
+    0xfff0bc11, 0x51a9de84, 0x814d8888, 0x297c1b32, 0x5a970c37, 0x8278dc5e, 0xc92e2da2, 0xd6318bb1,
+    0x5b221a51, 0x50a0dbb2, 0x6832dcfd, 0xd5781abc, 0x817bc8b5, 0x8d0bdb01, 0xf2dbd83e, 0xdac400ef,
+    0x00000000,
+    0xfefa30f3, 0x62dc92a6, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0226156424291633194186662080095093570025917938800079226639565593765455331328 */
+  { 0x00000000,
+    0x47ac588d, 0x578b88f6, 0xfb82c1a6, 0x0199d57a, 0xa28c3356, 0xdd66886c, 0x078fb2fb, 0x775b93b7,
+    0xa71111a5, 0x69b796b0, 0xc55b904f, 0x6f7506ee, 0xf6625aea, 0x48534c77, 0xa4266bd4, 0xcf8e648e,
+    0x1a70aaf3, 0x718ba186, 0xa67bf350, 0xe31f9d68, 0x4df43d51, 0x713f48ce, 0x746eb387, 0x63fef535,
+    0x35df2002, 0xd254b087, 0x64589adc, 0xfdff61a5, 0xd52b9a6b, 0x601d09f3, 0x3f7bcbbc, 0xb6e49977,
+    0xbe9ec5ed, 0x34d554a6, 0x42e7af43, 0x283fded0, 0x9af70518, 0x5292af78, 0x03aa5fa1, 0x718005ac,
+    0xc640ce9b, 0xf608964f, 0xb68129dc, 0x8ac4d404, 0xd491d971, 0xb0e9f1a2, 0xfe0dd7de, 0xce95c261,
+    0xfcd26874, 0xa0cdf723, 0xba9ec0ed, 0x6156689b, 0x3092f151, 0xa075c1b0, 0xd9d09fed, 0x38a1ec31,
+    0xc41c858a, 0x8757e404, 0x7719a502, 0xe45a07e1, 0xa48f410e, 0xf9c42076, 0x489c6179, 0x0c115048,
+    0xcfb23635, 0xa93750b5, 0x84dfbd07, 0x331e86ef, 0x877b6c7f, 0x4f70c417, 0x7a86e64a, 0x72ce2a19,
+    0x10fb1686, 0x645c62a2, 0x172c8d9a, 0x6f736ec3, 0x614d12a8, 0x951b27f2, 0xe19a0215, 0xb3d2b836,
+    0x31cc2947, 0x86707e8d, 0xedcfb5ba, 0x8ce82d2b, 0xb94da756, 0x04914245, 0xf7767250, 0x6b390888,
+    0xdcad2213, 0x3eb5e0bd, 0xcc5c1e66, 0xd94bbe6d, 0x20181353, 0xc9aa3de8, 0x3a7ccfea, 0x390e517a,
+    0xa39fe915, 0xf062efe3, 0x249deeae, 0x8fdce58a, 0x0989cc35, 0x696a0580, 0x78c97b63, 0xc45b13d1,
+    0x7de01912, 0x2054826d, 0x5735edc3, 0x599c3f12, 0x6c1d23a8, 0x21d0b5c6, 0x603b3400, 0x1a714fba,
+    0x46cbc4c4, 0x281563ec, 0x8780c12b, 0xd161621b, 0x0ba84952, 0x052feace, 0x67aa4004, 0xc47e6222,
+    0x538dcbce, 0xf7088242, 0x45140022, 0xe201a75e, 0x9bb20aac, 0x9c5e2dec, 0x5b969155, 0x0479cd85,
+    0x831f6a29, 0x4853d651, 0x324a7f56, 0x5a306029, 0xf71bef44, 0xdc78f2e7, 0x962b7387, 0xb306533a,
+    0x1e0f446d, 0x0ec6924b, 0x38d85b93, 0xaf8e938e, 0xd4002e8e, 0xb49275d0, 0x99d23307, 0xc59c0324,
+    0x1bab6e1c, 0xb402cbc7, 0x73ec89af, 0x3db87124, 0x008ffe82, 0x18e289c7, 0x2f0c1c60, 0x56fc8590,
+    0xa9225ef5, 0x315a7321, 0x9e6205e8, 0x26c3086a, 0xe461f850, 0x5cbfab98, 0xf8ba01e5, 0xff2aed44,
+    0xbb15f5e7, 0x5d397ff3, 0xa5d3d88d, 0x9c613d1d, 0x4f4c2050, 0xf858720d, 0xb4eefc3c, 0x7a454da6,
+    0x20834709, 0xe1148eef, 0x225d5626, 0x0e352c87, 0xb07b9357, 0x4819d127, 0x5dfa9ef7, 0x1a88f2b2,
+    0x64d681e6, 0x565308c0, 0xf2f1f5e1, 0xd69b66c3, 0xc7f10fcb, 0x18e971f9, 0x43bedc54, 0x1da82491,
+    0xdead2297, 0x282b0d8c, 0x8624a193, 0x17849996, 0x0cd31458, 0xa56ccb2b, 0x3bcdf7cf, 0xf1606abe,
+    0xe268fdc7, 0x3d013a85, 0xfe566f65, 0x3fd2158b, 0x9c440ea7, 0xdbe1d221, 0xc0992fc7, 0x151e1f7f,
+    0x20d4055a, 0x2827fbc2, 0xf250fb20, 0x4875e63c, 0x4368aa00, 0x2af94e6c, 0x9d9d4d25, 0x2d06ac47,
+    0x330ca1b3, 0x5c970794, 0x0f2561c9, 0x7d6267be, 0x88254c71, 0x3a2e9605, 0xd37d8d7e, 0x5b2cdb1b,
+    0x0cc00f7e, 0x3e72d84e, 0xf42e11ae, 0xaff1a4e0, 0xbff524d8, 0xa5fe46f4, 0xc7974559, 0x938e2ff4,
+    0x8eb7e183, 0xce367156, 0xb8412654, 0x5bdb118f, 0xaa08d915, 0x653eaeb8, 0x1a34bcc7, 0x22522c38,
+    0x6b93edea, 0xa5f48e72, 0x4fe00462, 0x6ea852e0, 0xeee4b59a, 0x1db4bf58, 0x7978ec8b, 0xb69f5be5,
+    0x13fe7ff6, 0xeba780aa, 0xc2cb9b10, 0xb7ce8d4a, 0x61cb0638, 0x612ff9c7, 0xac46b2df, 0xe9a268b7,
+    0x85398132, 0xfa99906d, 0x15a1dcd9, 0x137f26f8, 0x009d3afa, 0x826d591b, 0x9d85a5fa, 0x5e771201,
+    0x8a507dd5, 0x7ecddac5, 0x598a0987, 0x9285d2ba, 0x1da57fe9, 0xb322c71c, 0x82a4f0c0, 0x8da972c0,
+    0xfd2f066a, 0xff68587d, 0xa28a0e0f, 0xa2d90f94, 0x2136e169, 0xda34d01d, 0x7a438be8, 0x43297b09,
+    0xb94086e5, 0x38fc4da1, 0xef7482b2, 0xab6f2b37, 0x9f1f6d12, 0xd320e181, 0xe10c9857, 0x1a6d9a36,
+    0xc98b30d1, 0x2895ebc6, 0x682e13d4, 0xa861d852, 0x99b169f3, 0x117c33e7, 0x78bb64a6, 0xa9a9a099,
+    0x03ddbf7c, 0x2dc82974, 0x31dd23d0, 0xc7cb54af, 0xce8b3693, 0x3671420e, 0x8d47a0a3, 0x7c71f079,
+    0xb9701994, 0x0927dcf4, 0xc6a1fef5, 0xe88eece4, 0xe757e81f, 0xff187f53, 0x0aaa5c2f, 0x7e6230f3,
+    0xe00dbaf6, 0x2c2211dd, 0x0ba210f2, 0xd999c8a9, 0x39f34b23, 0xb92a4381, 0xa3c64dbe, 0xa702c519,
+    0x2a12d302, 0x805102e6, 0x1df6737e, 0xd43131a7, 0x5a5303db, 0xaca0c199, 0xe1339ad5, 0x107d6d39,
+    0x79759c9d, 0xdbb6afab, 0x6a05d6ca, 0x00c437ec, 0xbf481bbd, 0x56de341d, 0x7e6e7295, 0xd66aa8df,
+    0x1aa04df0, 0x04391c4e, 0x4a3cacc2, 0x20efc32b, 0x832e1652, 0xbf05bfec, 0x3f392ba9, 0xdb3b12ad,
+    0xe2f44e06, 0xd70b7edb, 0x65bcf948, 0x4e6e59a0, 0x23bf88bf, 0x26294b2c, 0xd3a4e3ac, 0x897a8efe,
+    0x5d3bd4a1, 0xf9d2e4bd, 0x691807c7, 0x3f6752e6, 0x10a2290c, 0x7ed4d3ee, 0xf1d70c4b, 0xaec5e9b3,
+    0x37afa5ab, 0x0a19b354, 0xb8fac303, 0xe9fa7501, 0xfe6f1b36, 0xb039bb1b, 0x7d8dac5f, 0x2a1807cf,
+    0x410a3e4f, 0x8c7d671e, 0xc156ca87, 0xdcd6eb12, 0xbcf554d8, 0xa2472e36, 0xbe6bb75d, 0x78dae626,
+    0xd810510a, 0x804f22e4, 0x58c396cf, 0xfcecd5f2, 0x582bb40c, 0x26d3e2a4, 0xeef3071d, 0xd4bb90bf,
+    0xfd6dfd26, 0xc9fe72fb, 0x8ee08f66, 0x6a101b29, 0x41f18789, 0x749abca4, 0x9c09ca41, 0xbeea67bb,
+    0xc2361045, 0x97a1ea26, 0x15410178, 0xd8258015, 0x963c810e, 0xaa1542a5, 0xe5c8f27e, 0x66f41f3e,
+    0x322dd196, 0x0333e9c7, 0x5bc90499, 0x7ee85bab, 0xd111adc1, 0x06cffe0e, 0xc876d630, 0x90ef0e90,
+    0x4157a4a1, 0xd9624d95, 0x2cc73b86, 0xd864f388, 0xdd2ec801, 0xd82a877c, 0x98e38370, 0xda4f8ae8,
+    0xf0c944e6, 0x0c0c1c63, 0xcdc50449, 0xb7ee72cc, 0xe2304604, 0x44e9a3ea, 0x4ab857ad, 0x0ef1baa4,
+    0x43e7e7b0, 0xf99c8dda, 0xd9710682, 0xa19cc134, 0x59783a56, 0x1893bd09, 0xe1c4a193, 0xc8f086ec,
+    0x6bd23cf4, 0xeb6a41e9, 0xe0c72276, 0x057628f0, 0xc65ec09b, 0x784ba47c, 0xdb7d133a, 0x660d3f60,
+    0xd28392b6, 0xf9b5f6d3, 0xe73aaa2b, 0x90bbd9ac, 0x685d2b61, 0x9fa85170, 0x1d821832, 0xfd234fdd,
+    0xb4b3687b, 0x25131be7, 0xd8f81ccb, 0x41c3d90c, 0x3a520f34, 0xa0a6a6a2, 0x32c65aaf, 0x5792e897,
+    0x1da85b11, 0xa9b5f8ee, 0x1eb961db, 0x5dc9117d, 0x2fd912d4, 0x02179238, 0x29676325, 0xdc05f0a4,
+    0xe41bac24, 0x816ac4e9, 0x4f498b91, 0x3e50c2fb, 0xd4dbf7c3, 0x1d883416, 0x86c05cd0, 0xd55666a5,
+    0x31bbbb04, 0x259d3a76, 0x13650517, 0xe4bfbf34, 0x7899cb98, 0x9155fd48, 0x85e64bf1, 0x33af4ecf,
+    0x0a87bf6e, 0x120eb1be, 0xfdae892b, 0x2c5bcfb2, 0xa14fabea, 0x6d5f5bd9, 0x61d3e287, 0x6a6a5854,
+    0x5e5dcf9d, 0x473e6498, 0x732b4c25, 0xc2ee22a7, 0xca4dba44, 0x13a2eba6, 0x637b9d4e, 0xd9cda92a,
+    0x4208b680, 0x92c44e62, 0xb7fc471f, 0x952291ae, 0x4534c5c7, 0x7606fdaa, 0x93f93d4f, 0x31ea058e,
+    0x5c594cc0, 0xca55b680, 0x9070da5a, 0x8e1fa16e, 0x77d12fd3, 0x8a2fa7f8, 0xd3b63aae, 0xfe1ba177,
+    0xc647bf33, 0x80257397, 0x80c654bd, 0x83ba3f15, 0x1d7211b8, 0x285807ed, 0x995c27ca, 0x2231a4c8,
+    0x4d50cb8d, 0x43f980df, 0xa78c36f4, 0x797f4966, 0xb0b0d70b, 0x2a71a93e, 0xae75aabb, 0xa6622b93,
+    0x8f1d3c5f, 0x52d70a2a, 0x58157bb1, 0xac00763f, 0x8977cf24, 0x3b5a33cf, 0xb192a048, 0x058fc768,
+    0x18bf1a33, 0x9e7f713a, 0x581be247, 0xe02c0f3d, 0x74c4b08c, 0x15f88c19, 0x3e2903c7, 0x19d0382b,
+    0xe65a934f, 0x356f4d32, 0xc16bd3ce, 0x0c52adbe, 0x2c672c8e, 0x7f7b95b3, 0x11404788, 0x3e450a6a,
+    0x671f9121, 0x9b66b888, 0x5770ac15, 0x069a7416, 0x596e0297, 0x003100c6, 0x271c45b5, 0x4f6f3ff6,
+    0xfcdc61cd, 0x33bde26a, 0xbf4f387d, 0xe9c49302, 0xec8ff05d, 0xabe1712e, 0xfb26b226, 0x1f13dcf1,
+    0x7aa6fb6c, 0x60db51ea, 0xb2a54cd5, 0x043ed466, 0xf8a144cd, 0x31392a1d, 0xce19c8ad, 0x8239c19b,
+    0xe51097b2, 0x69f6ede4, 0xebd41e0e, 0x808a6088, 0x54457a45, 0xc7e6a4ad, 0x9f21eeb2, 0xad13bf25,
+    0xa8107fde, 0xaabdff36, 0x34b49e73, 0xec067b71, 0x14eea63e, 0x6d336146, 0x9c5a06f6, 0x9a1a645f,
+    0xefac0688, 0xe733fb36, 0x94a47524, 0xc5f8678b, 0x61cfeb21, 0xd2a6992a, 0x3fb8436b, 0x7ebb617a,
+    0x0021725b, 0xe9de16d3, 0x5014abac, 0x2204f7cd, 0xa2ae2ca5, 0xc29f0fc7, 0xc62b3161, 0xef9506a3,
+    0xd831eab2, 0x61173e4c, 0x0a12ff5d, 0x496fbc0f, 0x8202f42c, 0xdb285f2c, 0x06164ee2, 0xc86ca07b,
+    0x4c4eadfe, 0x47200476, 0x62661cc7, 0x96bc75b4, 0x6c0a9c6c, 0xff97d0f1, 0x43e31f00, 0xef1a3dc7,
+    0xf90f933e, 0x1cbc2bdb, 0x547fc361, 0x1435f749, 0x380abadd, 0xa48849f2, 0x718e6a88, 0x0f5a52ec,
+    0x80eda4bf, 0xd6e27499, 0xc277535e, 0x472628be, 0x1a27772c, 0xda008048, 0x8b5f8253, 0xfac4a554,
+    0xe54fc661, 0x36e95eca, 0xdaa79aca, 0x37f2e5e1, 0x170eed13, 0x4b00f6d4, 0x835fe93b, 0x30066a62,
+    0xf7953493, 0x2f09cecc, 0xc00d9d8b, 0xe9f3570c, 0xd4b2ace6, 0x569758de, 0xdc6a4382, 0x55a268b8,
+    0xe08f6687, 0xb00e7252, 0x28155f84, 0xb5feb2a8, 0x2f792d85, 0xa33036c3, 0xb3905e7b, 0xfb41a3d5,
+    0x730ca595, 0x5b8df826, 0xf6c98cb7, 0x9fa9716b, 0xdc01b523, 0x3e596c03, 0x803a5cec, 0xf34b835f,
+    0x47205ebb, 0xfa582db4, 0x12018305, 0xcfeb9415, 0x94ca4ccf, 0xade3b5fa, 0x98daab34, 0xc741f568,
+    0xfdc41026, 0x0c67e0f2, 0x8f2729a0, 0xe73ed9b1, 0x61faf78a, 0x156f42db, 0x1a3612c9, 0xca44ff57,
+    0x535680ec, 0xee88091c, 0x5531d54b, 0x902d69a2, 0x539d7d8d, 0xb9cb03c9, 0x0f6bcfe2, 0xa140aa89,
+    0xaf64aae4, 0x01a7447f, 0x1f71ae96, 0x2800e9b3, 0x1ba2c0ed, 0x1a28d12c, 0xcabefd33, 0x7d61284b,
+    0x69812a08, 0x13e437ca, 0xad823595, 0xcc70f96d, 0xdc016923, 0xd9e244f6, 0x89b112ca, 0x424bf12f,
+    0x9e9de2eb, 0xa3a14919, 0x3cd07ae2, 0x53523116, 0x00734fe2, 0x6ccc8831, 0x2216b6fb, 0x992a8db1,
+    0x8ab2c73c, 0x592657b4, 0x0f206c1b, 0x7804aaf5, 0x9fd2c192, 0x929a9d2d, 0x7d01205e, 0x668a86a2,
+    0x439230d1, 0x48dbf9ec, 0x585d8dba, 0x287ad06e, 0x8a1a15a7, 0xfdc47c83, 0xa2d7a57d, 0xa0595f4d,
+    0x302fe0e5, 0x4f5a147a, 0x2dec15c2, 0x23e524fd, 0xa3db68f5, 0x73ebd846, 0xcd6a83c5, 0xd3afcaf2,
+    0x7a67cfd7, 0xf2641150, 0x3dc42beb, 0x9e4af270, 0xc90b6197, 0xc54b82d2, 0x30ddfa36, 0xb377df12,
+    0xaae6d319, 0xf369de1f, 0x1de936cf, 0x02fec75d, 0x05c6b992, 0xdd3a2d30, 0x7d030d50, 0xa94f9b61,
+    0xc7214fee, 0xebc1bd50, 0xebdda7cc, 0x001d5b78, 0x42a5e542, 0x209e9847, 0x25910eb0, 0x3d9a51a2,
+    0x5b99e733, 0xdc62ac64, 0xd871b247, 0xf75aba77, 0x06aabcdc, 0xd9a6e9d3, 0x48e94add, 0x11900fb9,
+    0x8857350c, 0x12c47328, 0x98524753, 0x24648b4e, 0x82fe4eb0, 0xfc05f1f1, 0x6fdac38b, 0xb4a48437,
+    0x41dee778, 0x1a9f3401, 0xf34ec362, 0xb3e31c18, 0x2b322d8e, 0xf9aaa49a, 0xcd4a0fbd, 0x355d946d,
+    0x22add752, 0xc3e213d1, 0x22a6103d, 0xff437e1b, 0xe2911c83, 0x2cc8ff4d, 0x9384d521, 0xfc6f6d3a,
+    0x909253de, 0x15bb9f4e, 0x2b9d96c2, 0xfb693881, 0x592c2a4c, 0x0eba8a84, 0xbb46192d, 0xbfd2e3f8,
+    0x5586083b, 0x27549b18, 0x3f331bfd, 0xbda57f3a, 0x47756ae7, 0x6d3df56b, 0x4db8e909, 0x6f5a2429,
+    0x00db2b77, 0x22a40ff4, 0x46a3aac8, 0x6c3b7a59, 0xf5452dca, 0xb00cf3f7, 0xd954388f, 0x4ac1e64a,
+    0x434ac0f4, 0xcc63cabd, 0xddfd4987, 0xae283580, 0xedb26ce0, 0x14ac0ca0, 0x59732d60, 0xd435e520,
+    0x6362f31e, 0x6235022e, 0xa427f8fe, 0x964cbb88, 0x66166ec8, 0x32694fd5, 0xa6b757d3, 0xeec6f446,
+    0xc4874922, 0xd5131478, 0xdc8a96a6, 0xa0de931c, 0xaf6a218a, 0x691701a6, 0xd1285556, 0x3417a621,
+    0x3df36af6, 0xfd2fc694, 0xa92e801f, 0xb7d2c3a3, 0x128ba1e6, 0xc6d1f2b4, 0xcfff7195, 0x59a84bbd,
+    0x0c487933, 0x60e85dd4, 0xc0b976bc, 0x2dea0ce7, 0x4e9e344b, 0x8d509a1a, 0x91b16481, 0x45ea2cfd,
+    0x50283e2c, 0xeaa0cf3b, 0x93633852, 0x04c94aac, 0x9b4a7c62, 0x02bd3f93, 0xe2065cf1, 0xeef1882b,
+    0xe21c7488, 0x40635cbd, 0x0963a2d3, 0x289511d8, 0x67b91cec, 0xf8af2cdf, 0x6e88241c, 0xbb501da8,
+    0x2d115386, 0xcf5c61b4, 0x64d316b4, 0x5bacfab0, 0xd8a8a2de, 0xb102357b, 0x69e4cc9b, 0x9579395e,
+    0x462e9649, 0xb9f511c4, 0x493b191e, 0xecafbb3d, 0x4536122a, 0x0240a4c8, 0xcae1891b, 0xc4d5e0e5,
+    0x6cd93fd5, 0xadf9ba28, 0x268e61ed, 0xf35931c8, 0x7c3e2c89, 0x083ae9fc, 0x8a5c5bc0, 0x5845ce98,
+    0x84ae7235, 0x094b0784, 0xdf36400d, 0xb95af38c, 0xfe399aad, 0x39afa919, 0x1db18681, 0xc1088c6f,
+    0x2383430e, 0xd26556ac, 0x3002a473, 0xa78c6810, 0x3a1fe05d, 0x7f268c26, 0x7855a06d, 0x54b7a0c5,
+    0x400290b8, 0x661160ea, 0xe419eb3a, 0x4d6f14b1, 0x43273aac, 0x6733df3b, 0x9807a4c4, 0x8c208a2e,
+    0xcec058e2, 0x645707d0, 0xbc1517f1, 0xa1f09d44, 0x038da792, 0x93edff32, 0x19587f47, 0x31076f8c,
+    0x6761f23a, 0x596c19e1, 0x9353b19a, 0xa3cafea9, 0x9fafe653, 0xbba4fc55, 0xfc0dd2ba, 0x76bf8ebb,
+    0x5ea72906, 0x7670ae5a, 0x728b0786, 0xfd41ef3b, 0xfd911688, 0x666cd902, 0x576c26db, 0xe7410d11,
+    0x6b29e7ce, 0x2f38c50d, 0xfcdb1260, 0x1c019b5d, 0x773064a9, 0xa23b798d, 0xbf942762, 0xd9d69158,
+    0x3bdb125e, 0xfc18710a, 0xdcf505dc, 0x79278b9d, 0x07251779, 0xa514a9a5, 0xeece9399, 0xc397576e,
+    0x6e3a9c6c, 0x3305a7d6, 0x320b9c9b, 0x7aedb972, 0x25bb4fc5, 0xa581dc85, 0xedd25cdc, 0x55658ee1,
+    0x36286266, 0xfe241cb9, 0x2bce4089, 0x3df12267, 0xbdd493b2, 0xb88c8cb7, 0x7eec5b75, 0xe33029c9,
+    0x88360aa1, 0xb30b0303, 0x736e4b57, 0x6718dd6a, 0xf73a61b9, 0x4098506a, 0x0fd53476, 0x79956e4b,
+    0x6131761f, 0x069ad864, 0x99fbbd83, 0x2facf4a8, 0x718ecc71, 0x99edeb1f, 0xdb27f322, 0x8a9e7f07,
+    0x242713cf, 0x83484c75, 0x3cd7843f, 0xf9ee31a2, 0x1448a733, 0x4eb7d323, 0xf947a186, 0x09ac3ace,
+    0x3547d6a4, 0x0c42a743, 0x8269423e, 0xdc2d161f, 0x252daa52, 0xf57ba042, 0xc4c46101, 0xa756864d,
+    0x00000000,
+    0x7f7d1879, 0xb16e4953, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0113078212145816597093331040047546785012958969400039613319782796882727665664 */
+  { 0x00000000,
+    0x51d54db7, 0x883a8520, 0xd6daab21, 0xb1c3e9a4, 0x0c4471ec, 0x7e0f0ff3, 0x8d514baa, 0x2372e998,
+    0xd28dfe33, 0x3e0f2b38, 0x1c53d2ed, 0xd7fa0467, 0xe2fdd06b, 0x70fc9c9b, 0x7594e5bc, 0xdfadc146,
+    0xaf8adf2f, 0x87b03823, 0x25d531dd, 0x0184cb0a, 0xbe7cf1aa, 0xe4477349, 0x8a34b6fd, 0xd1e3a773,
+    0x42c372ae, 0xcff3d89d, 0xcb91d0e1, 0x2852380a, 0x6698b976, 0x1c2243c6, 0x2a6ea632, 0x54538d1a,
+    0xf239e547, 0x03ce5b95, 0x77ceb1e7, 0xa106c94f, 0xccd1a845, 0xb8c58571, 0xf292077b, 0x98ea4431,
+    0x6e23bb0f, 0xf27a355f, 0x84d93b4c, 0x71d7c9bc, 0x872177c0, 0x59bf7266, 0xd6e61c16, 0x08d3894e,
+    0x813b5774, 0x4692902a, 0xede0fa9e, 0x2c469625, 0x40a64484, 0xef821539, 0xf6dcad75, 0xecec9b6a,
+    0xc06afea6, 0x17d6ffe6, 0xeb9755c1, 0x53c85cd4, 0x4058d660, 0x2f68501b, 0x7be847ca, 0x56931e33,
+    0x12bbad9d, 0x57bada38, 0x5fc8ee92, 0xf289de4a, 0xc16bde0f, 0x09944325, 0xe54ca5ca, 0x41289a33,
+    0x7e971bf4, 0x008d4cc7, 0x64752fff, 0x86699642, 0xcf929b02, 0xe0fa029a, 0xa9bf2f62, 0x7e2f4cb6,
+    0x78d3d89a, 0xf0ff5b49, 0xbd7fd649, 0xb361eabb, 0xfac15d09, 0x2d8f29d4, 0xd4e2e7a8, 0x4c528e18,
+    0xd25cfb86, 0x5820f1cd, 0xbd28887c, 0x746ba134, 0x9210db52, 0x6d63ee32, 0x863a8fd4, 0xa0f3301c,
+    0x1718200e, 0xd096c3eb, 0x29f3a80a, 0x3c729519, 0xff4f1935, 0x48674aac, 0x129d8099, 0xce4750bd,
+    0x1830e69f, 0xa4b8fb2a, 0xc8ae8ff5, 0x914635fb, 0x2f549f8f, 0x15befc4d, 0xf6be012e, 0x6162d592,
+    0x9ad1fe7a, 0x9b92fb2b, 0xb9f77f4e, 0x1be1233d, 0x2bf5b340, 0x435b5162, 0xf21ccdc1, 0x94ae535a,
+    0x0f7f8e84, 0x51d6f262, 0xe48ab5dd, 0x938f55cb, 0x8f67653a, 0x67d54045, 0x469b9a8d, 0x4ad164c6,
+    0x9a9b0dba, 0x33647ef1, 0xacf700ce, 0xb02ecdd1, 0x1d90f23f, 0x3f474d63, 0x23e3dd0e, 0xbbfe5f54,
+    0xe480bcc3, 0x5ea17482, 0x2b61c28b, 0xaf982cbe, 0x9c865694, 0x71c23d31, 0x243ad5d5, 0x97b583b2,
+    0xdd8c91d6, 0x71b154eb, 0x63469a54, 0x3965498c, 0x31f230a0, 0x509e1d71, 0x6eec1a58, 0xcb293131,
+    0x80341659, 0xc0045409, 0xa7415dae, 0x6263e6d7, 0x0a072f8d, 0x3613ffa9, 0xbcbf7438, 0x01acad16,
+    0x683a6da1, 0xe822372e, 0x5f155739, 0xcc0eb25f, 0xdd1d6309, 0xd81a0341, 0x6c28a120, 0xab70fda9,
+    0x0bba710c, 0x682f1d4c, 0xe166118f, 0x57732207, 0xbc440fcf, 0x6ddd7913, 0x2a8a2e01, 0x22debbe5,
+    0x67a1516f, 0xf62c8af5, 0xee6b8458, 0x3ed1877d, 0x7d1770b3, 0x47be63e0, 0x42fe1140, 0xbedabcdf,
+    0x5e8c2e48, 0xe8bbb265, 0x06d53596, 0x9c2a1a96, 0xa75e8246, 0x4df8b9a5, 0x49f5f6b0, 0xff37286e,
+    0xd17f71ef, 0xb5eb8b7e, 0x77535f34, 0x4067f3ac, 0x77c0f9eb, 0x2a33e4b1, 0x15e398f7, 0xd92b1cfb,
+    0xb313f2fa, 0x03635350, 0x88d9ff56, 0x2f537202, 0x1360d0e4, 0xd61f0c21, 0xd7c1fcd8, 0x22c91206,
+    0x66ac081f, 0x7888cac9, 0xb6de792e, 0x567cf8de, 0x004100c8, 0x4252eda7, 0xc0f31498, 0xd9851072,
+    0x39f03aff, 0xe628f7b2, 0x83822b23, 0xae48a986, 0xfa3a6d32, 0x68cf7171, 0xd88795af, 0x296b7c82,
+    0xde246463, 0x769b16af, 0x9a691c89, 0xace71e0b, 0x13371dcb, 0xe82025d2, 0xff44cca5, 0x68b26fd8,
+    0xe5abb0db, 0x9cc2cfb4, 0x0464ece4, 0x1e8ee41f, 0xd38aefd0, 0xabfbc0da, 0xad423918, 0x34d6fec1,
+    0x02633bcd, 0xb2bcc481, 0x3f22d7be, 0x9037eec7, 0x57457e04, 0xc899bd6d, 0x74a51a6b, 0x6e0df8c5,
+    0x0f5b3899, 0x05b77ec3, 0xbf46dd36, 0xd27df963, 0x135e39a9, 0x98c64894, 0xc6b8fd95, 0x6cc51e12,
+    0xeb40802f, 0x268e79bd, 0x05edd205, 0xac4179d5, 0xdf1e16f0, 0xfbfb8f64, 0xb482e893, 0xddb355f2,
+    0xfc6b4e10, 0x9dd4b6ba, 0x8dd5b8e3, 0xd9ea10c9, 0x640d2e59, 0x54aa0ab3, 0x6cf6fa3a, 0xeccce5c2,
+    0xed9cdb69, 0xb403d488, 0x1906ac59, 0xbb9ad503, 0x9441070b, 0x65afafd6, 0xd6e86216, 0x33f81507,
+    0x7eb54a4e, 0x3a34f18a, 0x11144ab0, 0x1ab3b99c, 0xff87bfa6, 0xac1bfb1b, 0x683e0aa4, 0xce7a7b28,
+    0xfabe0e3e, 0x01426237, 0xa28c335b, 0x75b635f4, 0x8c2fa9a2, 0x82fc5488, 0xc7e5b3b6, 0x3005c89d,
+    0x71b63a4a, 0xd848689e, 0x5b0fba54, 0xf0cd524d, 0x4d171918, 0xc553d905, 0x3834240a, 0x7d06dfa7,
+    0xf681fc70, 0x98c40422, 0x4c392280, 0x39d15d35, 0x6cb14ef9, 0x6f825b15, 0xaf30c249, 0xd5c32381,
+    0xe5293dff, 0xadb9d73f, 0xfa261ee7, 0xbd4016ba, 0xa6b70d2e, 0x002675a9, 0x0721a381, 0x7e960e8d,
+    0x4f3a5370, 0xc6e658c1, 0x7e981cd2, 0x01086628, 0xad479deb, 0xde9bce3c, 0x29e6ea08, 0x94bab43a,
+    0xb3d42e2a, 0x8839cbea, 0x58da6c5b, 0xb9c89d14, 0x5b2277fc, 0x58864ef1, 0xae49c214, 0xb21faf6d,
+    0x0f87244a, 0xf2fe21ba, 0x9c346b89, 0x0814eb1f, 0xe6dd1f3b, 0x6c72e4fd, 0xcd340ab3, 0xa2368088,
+    0x1b48c65d, 0xd64ce11e, 0x3c49787d, 0x72a8fc31, 0x2b083d7b, 0x311c39cd, 0x0312dcc3, 0xce05b6e3,
+    0xb160d09c, 0xc50a2495, 0x1cbcedc4, 0x598b028a, 0x5fa327d5, 0x3d83e442, 0xd5360720, 0x5d22e824,
+    0x891672a6, 0x79837721, 0x39f0063a, 0x120b4862, 0x121fd06b, 0x4d014058, 0x1d71e739, 0x8814e33f,
+    0xd00365b9, 0xa1c944c3, 0x5afd007a, 0x4dff5b6b, 0xd7c248e1, 0x6b6bcc0c, 0xd1c7012d, 0x5f9c6660,
+    0xe08564b2, 0x046d283f, 0x23c14ecf, 0xa8b71bc0, 0x7eac3e78, 0x2edd1773, 0xd78f3379, 0xd3db1190,
+    0xf7a092e8, 0x79d9fb2d, 0x42bfcfc2, 0x80a28316, 0x1fe4836a, 0xc405a85d, 0x0e2adccb, 0xa98270f9,
+    0xd43dadf1, 0xc1f2e463, 0xc4366e36, 0xf8c10fe2, 0xf5fa3869, 0xaccbd5cb, 0x13519483, 0x32c3ef10,
+    0x92318775, 0x8f1c2865, 0xfb2a4de6, 0xfcf43c7c, 0x73d39ce0, 0x913f0ab8, 0x1e5bb704, 0x27c63a53,
+    0xb245ec6a, 0x59813237, 0xb6778299, 0xe7a2c1fa, 0xcd95341c, 0xfc0c7ae1, 0x47f0e270, 0x749c0356,
+    0x92cf03f0, 0x3c2e2a42, 0xfdb8b3b5, 0x64a482b3, 0x65136ee4, 0x291e4484, 0x6fdec14c, 0x9bfc1492,
+    0xbf3a77d0, 0xdfb8fdec, 0xd271c431, 0xbb8080fe, 0x992ecf69, 0xac4cccb9, 0x032c5c01, 0x4f414aef,
+    0x05a4fb16, 0xb366a10e, 0x3c193c35, 0xe42e4460, 0xebe6d686, 0xb6c7ba91, 0x6de71c6c, 0xb3c7d922,
+    0xa320f605, 0x9014013c, 0x4a58ddf2, 0xe513d207, 0x4d34dd33, 0x2b1609e3, 0x29474fcd, 0x083414e6,
+    0x830ef037, 0x1ae4aed2, 0x3dcf605c, 0xe569f455, 0xd0cdaf70, 0xf7186155, 0x518874a3, 0x1dfa7b9c,
+    0x278e0272, 0x1a6aae30, 0xc5d6d807, 0x1876039f, 0xddd809a2, 0x98a604f4, 0xd7ad5f57, 0x50fd9354,
+    0x96497bcd, 0x25b9c5bf, 0x17e5ea07, 0x69ca6c77, 0xd0c0a86e, 0xce87c33a, 0x590fbffe, 0x52d67dc0,
+    0x5b6aca13, 0x6be9d610, 0x4aac8676, 0x66ccbe67, 0x53321287, 0xca281097, 0x5db25ff7, 0xb137d9d1,
+    0xbb5f184a, 0x3785fe61, 0x1c250dcb, 0xf5c784bd, 0x3973f88c, 0x831e378f, 0x8fc64c2f, 0x17e3d744,
+    0x395d27c4, 0xcb35a7c7, 0xb2bacff7, 0x08e8f323, 0x26c62e44, 0x2ca543e3, 0x25f4046a, 0x09be0af4,
+    0x13739270, 0x2d5c8820, 0xbc0e90c3, 0x250a82ae, 0x544b95ba, 0x597c8a91, 0xf88b0eb4, 0x6058cf40,
+    0x14a7e5e4, 0xba4686e1, 0xbc8e45c6, 0xfc54a92d, 0x5665bed8, 0xfe083c8a, 0x0b9bc3dd, 0x5f789bb3,
+    0x06adca7a, 0x833a2f17, 0x906ab993, 0xbb7f1cb1, 0x86093a0b, 0xdaff3625, 0x3fc5afc5, 0xea8dd619,
+    0xc01b1e48, 0x1c4a7a30, 0x8dd86f8a, 0x80a0d89e, 0x746bd732, 0xd9a2b1a7, 0x1aae9e7a, 0xe720567b,
+    0xcf9eb32d, 0x9709a9b0, 0xfe2a67fd, 0xa3beff5d, 0xbde7701b, 0xf64f53d6, 0x18bf403c, 0xaebc288f,
+    0x463a66ea, 0x2d9ebf3b, 0xba344cc7, 0xf8c7091d, 0x8d7884be, 0x7e672efc, 0xd7b2b825, 0x36bb6371,
+    0x0b969c1c, 0x82dfa5ce, 0xc6644556, 0x62c08d9d, 0x97d8c9bf, 0x81a43929, 0xcb3e3a2c, 0xc5a15071,
+    0x90566304, 0x6b247016, 0x911490d5, 0x596f7d7d, 0xb62bc033, 0x2da92d18, 0xe96df929, 0x934755e3,
+    0xc9344bda, 0xc8c26c78, 0xd397e3d5, 0x84f723f8, 0x967ea0fe, 0xc0268675, 0x4b0a354b, 0x1c86de87,
+    0xc3358853, 0x3a7d988e, 0xab838454, 0x17520d40, 0xf86712ae, 0x002e8d7b, 0x61808a99, 0x3160c71a,
+    0x1b283c5c, 0x3f74d636, 0x12df1b6b, 0x9462c8a7, 0xe7bd5d2d, 0x01d9c993, 0xce1a7b92, 0xbb0506c4,
+    0xa50ee1b3, 0xdaebb12d, 0x62ec0011, 0x84fdde48, 0xb17f7244, 0xf7fa82fe, 0xf4ef72da, 0xac46156e,
+    0x30d07814, 0x4efd59d8, 0x9676a745, 0x54a04f69, 0x58dfe7be, 0x6e4a2cbe, 0xdf874ca6, 0x53200481,
+    0xc64b220c, 0xc403102c, 0xe1a8d5b2, 0xba447721, 0x64f6e3cd, 0xccae03aa, 0xe09a92a2, 0xd50e500e,
+    0x24c72b73, 0xdf2fa107, 0xf0428237, 0xc7b1fc80, 0x54a02de5, 0x75b4656b, 0x22df1bd3, 0x82418cc9,
+    0x570a107e, 0x8bf5613a, 0x1a32e23b, 0x84f00f07, 0xb871d8d3, 0xb9d7d50c, 0x291bbd10, 0x3e85f2c9,
+    0x6f0d526a, 0x3877442d, 0x4875bb72, 0x1eaddb09, 0x4ab656ef, 0x263a8140, 0x796c71a8, 0xf574b51e,
+    0x776c0615, 0x6af417d4, 0x86399c1a, 0xc68e1716, 0x8050f868, 0xf8f3b6b6, 0x54543bf8, 0xa3c81417,
+    0xcfe7a2eb, 0x5972e804, 0x934c12a3, 0x5f4b4807, 0xe5dd6763, 0x2316bfdd, 0x13d889a7, 0xac7b456e,
+    0x406cfc76, 0x0c4e8eba, 0x7cf29a71, 0x796e637d, 0x2ec1efb7, 0x3f631e48, 0x34aa497a, 0xd609ff02,
+    0x03163526, 0x4051983c, 0xbb7a415d, 0xb80adfa2, 0x806bfc21, 0x507e0270, 0x2f2c3cc5, 0x630b7b67,
+    0xbecb3ad8, 0x96467285, 0xd5b58527, 0x1bd4072d, 0xd24fb398, 0xe3477338, 0xeaff41e0, 0xf324cb95,
+    0x2de1fed5, 0xd51c26a1, 0xf484dbfb, 0x7652a561, 0x659c0a67, 0x0634f801, 0x55ce3cd6, 0x291793ef,
+    0x1ca0784e, 0xf468f829, 0x31c1e5fc, 0x04d218a2, 0xede7ea15, 0x0ffa9dee, 0x4d40d38c, 0xba1aafa0,
+    0x850f3901, 0xec348a10, 0x90254a05, 0x4dc58b4f, 0x862c4f0c, 0x7a546964, 0x352a1f19, 0xb8e51efa,
+    0x8c44fc44, 0xc0a4b892, 0xef8b8b97, 0xacba39c5, 0x62b5db55, 0x4ce43ede, 0x5c92cc36, 0x964d0f2d,
+    0xcd558f90, 0x82dba02f, 0x8ed0d20d, 0x56c045a6, 0xeae23f97, 0x71512a16, 0x05497762, 0x0f95bfa8,
+    0x637f3e9c, 0x9028d2cc, 0x2ba163cc, 0x9f354034, 0x92594faa, 0xcaa54479, 0x9b2dcaed, 0x3962da95,
+    0x65d2dadd, 0xa18f4a9e, 0xfea42daf, 0xb1650291, 0x97bf6e96, 0x9c6c3cca, 0x5533c439, 0x5ded2f93,
+    0xfc20ff13, 0x4e19bca5, 0x44b52c10, 0x592f8da7, 0x2f4807ce, 0x1a0a95c9, 0x1f1b64c8, 0x909c741c,
+    0x6f650235, 0x80b0908a, 0xc151a212, 0xe150e9df, 0xcff96289, 0x5395467f, 0xb985d7b2, 0x3bdf82dc,
+    0xc01a5d87, 0x7bd9d2d7, 0xbedae2f5, 0xe1cc46e6, 0x627998e1, 0xcb339112, 0x1d52da00, 0x59dff8a2,
+    0x66c00b5a, 0xcffdcb4a, 0x0fe04ccc, 0xe15a9d21, 0x126e13df, 0x8539f257, 0xe715a9d3, 0x8e8b7c44,
+    0xc67bc5a0, 0x3c1b3b91, 0xc63097f4, 0xa82a38ca, 0x564c714e, 0x144a7388, 0xf6f00d1e, 0x13fd9a34,
+    0x824462fb, 0x7ef16194, 0x18c4a436, 0xb4438894, 0x1ba726e7, 0xa8866584, 0x0d01dc5f, 0x720c7545,
+    0x87bc3180, 0x4d1061ae, 0x0114432f, 0xfad862ca, 0xb8d46bde, 0x162fe137, 0xb3a45f9f, 0x2636ec30,
+    0x125dc895, 0xd802b638, 0x64eb23a2, 0x47c0ebf8, 0xdff47521, 0x0d7782b9, 0xb352116f, 0x0c44e1ea,
+    0x830e4ebd, 0xbe748700, 0x4fcce837, 0x689a1acb, 0x576626c7, 0xb0fa2d71, 0x4e4d97eb, 0xbf02c5e4,
+    0x7d0ead64, 0xe9194c8c, 0xf11e3594, 0x3ad851f9, 0x46cd8b3e, 0x0fdd414c, 0x1dd671dd, 0x5e5c6017,
+    0x205288ab, 0x7f4bafda, 0xc0a42c30, 0x6a9d761a, 0x7a866d9d, 0x26a2a003, 0x78e3794a, 0xd1117ce0,
+    0x752a412b, 0xdb844675, 0x201ef121, 0xe5baa56c, 0x44e3d657, 0x3fe25635, 0xaf6361d1, 0x71ec24c7,
+    0xcf130ddb, 0x4a59bc80, 0xbc552f87, 0x24862940, 0x1a60014e, 0x01175cd7, 0xd5522d24, 0xd9eff9c5,
+    0x888a31e1, 0x12cbf81b, 0x82b0a166, 0xe933bdd6, 0xa31249ba, 0x139093ac, 0x20c5b1e8, 0xd419474a,
+    0x13e7f220, 0x1d0fbed9, 0x13d03f4b, 0xd8da6a38, 0xf553de4c, 0x7b1a4b10, 0xc5a40d8a, 0xd279fb0c,
+    0xe47daa32, 0x8d00f8a5, 0xd25c436f, 0x860e3a95, 0xca5bcfcb, 0x285acba9, 0x2ac90ed6, 0x22d29d38,
+    0xd59f8382, 0x8922271b, 0xe7a2775d, 0x040afba2, 0x1e4ee73a, 0x91188b62, 0xd2c8ba6d, 0xd1f8e482,
+    0x4b1a9bdf, 0xd31160fb, 0xf6d3dd1c, 0xdf5db6bc, 0x9e0dd4a6, 0x6e6824f3, 0x1d0802d1, 0x6e0841e5,
+    0x2cdf6633, 0xdffb3e59, 0xdc31b235, 0xd3247761, 0xc990d58c, 0xaf3d103a, 0xebd843b4, 0x59a092d7,
+    0x2d71a4f0, 0x25d3ad49, 0x357c3e76, 0xa4ac2bc5, 0xb4e99a61, 0x1cb99c07, 0x13c15f85, 0x49dc4102,
+    0x438d2369, 0x1be6aaea, 0xe2793cb6, 0xb518922d, 0xbb752cce, 0x4f5a8c98, 0x2e85bbca, 0x2a8bc6f6,
+    0xe801fd43, 0x421fec34, 0xc694dd6a, 0x6ccd0d5e, 0x7629abef, 0x1fdfc7f7, 0x54d8c1ff, 0x340b9801,
+    0x4bbce36a, 0x34a1ba75, 0x4082b987, 0x9f3abb44, 0x974fe83e, 0x20744663, 0x94bf94e3, 0xbffc77e9,
+    0x1849ff73, 0xaee44ddb, 0x2266e43e, 0x7f6dace9, 0x61fc19ce, 0x4baed735, 0x1e51d491, 0x82de0cd1,
+    0xc2ee7f55, 0xe626f0f9, 0x729eaa62, 0x7d7ef0af, 0x5b8db2cd, 0x58481fe3, 0xc18cdee5, 0xc53f3aa0,
+    0xb13cb576, 0x903efea5, 0xad7d7e3c, 0xc39e7331, 0x36711cc5, 0xbdf96978, 0x8d2b6724, 0xa701c81e,
+    0x011d9186, 0x6de3dc73, 0x1c6df49d, 0x7bbfb1aa, 0x365c190b, 0xb36e5814, 0x64e28683, 0x63f0d5a9,
+    0x4863b744, 0xb7ca02d1, 0xaa3c410c, 0x3b5cc140, 0xec79f2fc, 0xaa5de2f7, 0xe8c26ea4, 0x1b225f38,
+    0xbfe9b3ef, 0x530d6ec1, 0x6896dba6, 0x77612ae4, 0x0e7283c3, 0x48b543b6, 0x696785ce, 0x77eb3ee7,
+    0x1e81fe08, 0x3d297982, 0xe67b300c, 0x7ba97021, 0xcda923af, 0x14af86e3, 0xc2abf1f3, 0x81794c18,
+    0x3bf6ddce, 0x8a4c61e6, 0x88ffebb2, 0x2f09a2df, 0x7184dfc9, 0xefeb4f1b, 0xbe8a20a7, 0xfcd1706a,
+    0xecb13a3e, 0x0d7806de, 0xed79e7c5, 0xb9661359, 0x806de692, 0xab64e109, 0x8c71cb8f, 0x6d680584,
+    0xc0149b0f, 0x2ed27403, 0x809892b5, 0xa7b7a2ad, 0xe09479b0, 0xc0f32a77, 0x3e940c6c, 0x45c4d7e4,
+    0xc1c300aa, 0xb6a3703d, 0xddc1f007, 0xb8e9b1cd, 0x76ccf15f, 0x17e6c7b6, 0x90daec80, 0x278a2b98,
+    0xdc52cfef, 0xdd78aa8f, 0xeec887c9, 0xb2508840, 0xc9f458b1, 0x6106f7f9, 0xeb84e7a0, 0x925a6c05,
+    0x00000000,
+    0xbfbe8c3c, 0x58b724a9, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0056539106072908298546665520023773392506479484700019806659891398441363832832 */
+  { 0x00000000,
+    0xa1c206e2, 0x840ab64b, 0xb3461c7d, 0xed2cafe9, 0x6f2d200f, 0xc645232d, 0x40f976c8, 0xecb47621,
+    0xd76a70cc, 0x9316eee5, 0x8a7d4ba1, 0xc013dcbc, 0x80a06bd4, 0x624235c6, 0x626aef46, 0x31447630,
+    0x4e7753fd, 0x959b2d32, 0xcd080266, 0x0409abaa, 0xbe3eb325, 0x298cab40, 0x77187c70, 0x2be16d90,
+    0x1fb1d6fd, 0x962dd728, 0x196aeb7b, 0xc5b4958e, 0x7df9e20f, 0xf3b11604, 0xdc21e56d, 0x7c6569e6,
+    0x293e811c, 0x55d450e9, 0x56ac660d, 0x9e160147, 0x26d0b805, 0xe513a1c6, 0xec5dc3e2, 0x24333a80,
+    0xfdb3862b, 0x005ce0af, 0x8348425a, 0x3f5b6db5, 0xc395c4f0, 0x9f1bffc6, 0xf38bd78e, 0xb1049914,
+    0x46967a3d, 0x69038d1f, 0x976c2cf3, 0x2dfa32c1, 0xee841e11, 0x919721b3, 0xa12dce39, 0x6e9ce840,
+    0xebcb2476, 0xd9bd8607, 0x3f6fc44f, 0xbcc240fe, 0x04a87d91, 0x14f482e1, 0xbff54569, 0xc133ad63,
+    0x227cd53b, 0x48604c32, 0xd686b858, 0xfda763ba, 0x94591733, 0x3c23dc2f, 0x927fba2d, 0x40dc797c,
+    0xa2330be9, 0x92727ad6, 0x525099ff, 0xf3381930, 0xffac496d, 0x0eb84824, 0x81f453be, 0xb29b5504,
+    0xb7a2b62f, 0xee024295, 0x715d311d, 0x5b58e640, 0xcce6d56e, 0xf48f03c4, 0x2c88e5c7, 0x6c8ac1e7,
+    0xd145d493, 0x7c97c0a5, 0x7dd01253, 0x7d657d87, 0x69d83686, 0x39298b17, 0x288a7fc9, 0xcc794b50,
+    0x9a3e08e6, 0xd0d38b49, 0x80300138, 0x8915a3c9, 0x7021abd7, 0x0c6c6590, 0xae9c38d1, 0x641bbc50,
+    0x3628cbdf, 0x74ce2e5e, 0x135e9d29, 0xbddd188b, 0x08c98a8d, 0xcac153ae, 0xaa4585ab, 0x140bf22e,
+    0x97484042, 0xd07d715e, 0xf6e7183a, 0xea7206a8, 0x33feb91b, 0x0eb7b0dc, 0x7584b555, 0x30a828b8,
+    0x932383ee, 0xfef412cc, 0x638193d3, 0xd71d4f69, 0x8a085f1b, 0xa84e701c, 0xa38a513b, 0x2fc70f24,
+    0xb6b378f5, 0xa50ca681, 0xb917fa4a, 0xdc792ccd, 0x7ec708be, 0xb56f52e6, 0x1e906142, 0x887a77c6,
+    0xf901b42a, 0x3f222773, 0xe799bbf6, 0x18712052, 0x6a7b704b, 0xc1ead609, 0x08262e34, 0xc835ebd9,
+    0x88a5c681, 0x7853f02a, 0xff7c1ed1, 0xd9e2cdff, 0xcf9cf97b, 0x9d133cf9, 0x193f83be, 0x448a9639,
+    0x333e97a2, 0xe9619162, 0xb20ef422, 0xc16eb42f, 0x14fa367b, 0x89fd00db, 0x2852874a, 0xd6e49c7f,
+    0xe9cf0c91, 0x47d7b8ca, 0x0057e20f, 0x6054bbbc, 0x5d91f80c, 0x04e49c60, 0x1babbdda, 0xe2a21852,
+    0x1e1bbcbc, 0xc3e1bb1d, 0xbd80f96d, 0x13b23f1b, 0x59acd25d, 0x48aab6f5, 0x1a3fd10d, 0x45ae2c1b,
+    0xd5a9f447, 0xfdcf5bf8, 0xc7a5ae20, 0xfd47a8ca, 0x263fbb79, 0x58216b36, 0x2adb3411, 0x52538855,
+    0x2ad95896, 0xb1a1bbb4, 0x71cfc665, 0x60a9b260, 0x0cc3eed1, 0xd13147fa, 0x32d5409d, 0xc1cb37ad,
+    0xd61d5e18, 0x736a8e9e, 0xa7a56ab8, 0x9f480b78, 0x96d9f1f7, 0x829984aa, 0x8c39d26f, 0x2ad49065,
+    0x38a14e23, 0x81edbbf6, 0xdadd4dba, 0xab8a581f, 0x1550f673, 0xb66665aa, 0xfc460419, 0x74bed7a5,
+    0x4eefd3f5, 0xab72e01e, 0x40ccd3dc, 0x41c51bfb, 0xec49af5d, 0x18a84059, 0xc34c436f, 0xee423eda,
+    0x9a2d06b9, 0x42d162d4, 0xcd865d7b, 0x965a2920, 0x109ec8c1, 0x12b39916, 0xee3156ff, 0xe08a6532,
+    0xa990b871, 0x831c1647, 0x58258147, 0xd2ac8528, 0x2e817cbf, 0xcbd89dae, 0x2d74be90, 0xaff374ad,
+    0x3157cd26, 0xb4073187, 0xd5a1c631, 0x89fc9a96, 0x45d9fb7d, 0x185ad454, 0xaae36867, 0x8eb36608,
+    0x6c1ee36e, 0x82df02c3, 0x4043e94f, 0xa135efd7, 0xb4ab1b9c, 0xf867b277, 0xea572868, 0x84dcba16,
+    0xeee7d0e9, 0x6fbbd9a3, 0xcdfb5747, 0xc497c4fc, 0xf2612e9f, 0x48e4ba74, 0x03527e7e, 0xf34f4805,
+    0xe301d109, 0xbef41bf3, 0xf1b14f32, 0x728bd32b, 0x6c0db352, 0x2439588b, 0xcd1582fe, 0x254a754f,
+    0x031de5af, 0x17ae0008, 0x6b9d7072, 0xf38613a7, 0xf9ffb776, 0x5a0fa760, 0xe28589a1, 0xccde3149,
+    0xcb84cf30, 0x34c4051d, 0x9b5e3865, 0xff10e186, 0x0ebdf976, 0xc8f7adc4, 0x87c4a90d, 0x9f196874,
+    0xdd0f8d9b, 0xf6be366f, 0x09b5a05a, 0x1f286a35, 0xc4eb1850, 0x118745d9, 0xcf6deb8d, 0x726a5e82,
+    0xf1218315, 0x93d3b0be, 0x141efcce, 0xc7e4543e, 0x6978b4f8, 0x53f19fa5, 0x8c6ef131, 0xfb2f9bb8,
+    0x48c4445d, 0x47a75788, 0x69497e00, 0x615bc6d5, 0x085548c7, 0xbd3b49e5, 0x3b3f16b2, 0x794671e9,
+    0x55fa32dd, 0xcc1712b2, 0x73d7e14a, 0x1599b563, 0x6bbc34e7, 0x6a851ef3, 0x4e103c81, 0xfa1dfcf1,
+    0xffa895f4, 0x4b83736b, 0xf831b877, 0xaa3378bf, 0x7464fc89, 0x3bb86a91, 0xeb94db9b, 0xc146985d,
+    0x849ff1c4, 0xf65ac367, 0xba424690, 0x980d3d33, 0x4cb89d5c, 0xad6d0900, 0x26150035, 0xa807b0db,
+    0x242ba162, 0x98b2e37e, 0x8a331aab, 0x35bdad0f, 0x8346b955, 0x4a0c1d02, 0x061186c2, 0x42f69ab1,
+    0xb91f0764, 0x25b9d59a, 0x8b924800, 0x05c13272, 0xa77690eb, 0x7e507097, 0x12e08d82, 0x50c43858,
+    0xf38617ac, 0x05fa8de8, 0x6b47c730, 0xed3b80b5, 0x39d91cd4, 0xb030b0bc, 0xffc34608, 0xc8f73405,
+    0x02b4e259, 0x783e92a9, 0x17844062, 0x250778df, 0x98367eb6, 0xfd3cfc4e, 0xe9dd6804, 0x6426ba32,
+    0x39e7d0da, 0xcf684d1d, 0xf403c664, 0x8e1e6375, 0x72b158d7, 0xdaf937ef, 0xd1670637, 0xf1fc9c0a,
+    0xc08cd587, 0x0ffb94d7, 0xe29bf133, 0xb02d15b0, 0xc07210c1, 0x56df5247, 0xe746f567, 0x84fa9548,
+    0x525009e3, 0xa8d60e11, 0xbea8257a, 0xaf3c56b6, 0xcd2a4f03, 0x653bfde4, 0x07d4889a, 0xa4a6d557,
+    0x83266dd2, 0x762e0b7f, 0x8899c56c, 0x2b5ad19f, 0x483a0b1d, 0x9130f016, 0xcf58765e, 0x64d904c2,
+    0x92e42977, 0x92ca4888, 0xd19f68f4, 0x8d404ebd, 0x4f5eafd6, 0xbc831863, 0x1793d5dd, 0x77ddaa7b,
+    0xbde12e1e, 0x911a0011, 0xea7dda8c, 0xfe706262, 0x55b68e10, 0x2618ed34, 0x7429401c, 0xfa53b882,
+    0x8b94ef9a, 0x880f4991, 0x67dda79a, 0x4a46f7e6, 0x8454f467, 0x583c5016, 0x7bc4d0de, 0x43ca62a1,
+    0x455b41ab, 0x50a174dc, 0x5defcbb7, 0x2dda3a0f, 0x92f47102, 0xbcb4b906, 0x785d791d, 0x902df275,
+    0x3f5e2ca3, 0x1f44a664, 0xd4f0bce9, 0xb2dbe3d0, 0x240dacd2, 0x926b934b, 0x8629ae3c, 0x59ef351f,
+    0x4c37efa4, 0xec8a1b87, 0x7252ab24, 0x01c4a072, 0x0f7c96af, 0x81129f8a, 0x3f6b9449, 0xabfe48a0,
+    0x94f3cc04, 0x792744b2, 0xdd749dcf, 0xbcb70c2e, 0x5efb9502, 0xfcb4701d, 0x24f69433, 0x2ca3f6d9,
+    0x1bc95bb2, 0x79c83deb, 0xa63e38ca, 0xf1f540f9, 0x54c62f75, 0x581400e8, 0x4f6fe7a8, 0xefa62bd5,
+    0xc19377bb, 0xe05add61, 0xba920e39, 0x4b9f9dfa, 0x1a9356f8, 0x4511afa1, 0xbc44b719, 0x519d4f5c,
+    0xe9150fa2, 0x3daeafea, 0x17ccd60f, 0x1cd88ecd, 0xb7f7ad61, 0x47d3fd36, 0x956ef00c, 0x07dcc92f,
+    0xec5d1bd3, 0x074f50a1, 0x9984a669, 0x3e5fcdaa, 0x5a0f1b56, 0xd0a7578f, 0x8108b1a2, 0x64684001,
+    0x1f5b9af1, 0x738fd163, 0x66e2b805, 0xd457adac, 0x4655d35f, 0x885bcdd4, 0x60376bb8, 0xc37ceb22,
+    0xc9f00e08, 0x49c9c0bd, 0x37285b6c, 0x8fe05fec, 0xcddf40c1, 0x132897ca, 0x1f7e8317, 0x835aa814,
+    0xa345a45f, 0x5f507f7c, 0x7ba634fa, 0x195e4910, 0x5e708bdf, 0x7f8afd5b, 0x32b93034, 0xb816adde,
+    0x6077afd9, 0x7cc50f03, 0x34dcac81, 0xdb307143, 0xe9bd03cf, 0x5a48f7fd, 0xc84e9946, 0x70b7599e,
+    0xe52fdd07, 0x9c347513, 0xd32db56e, 0xab443fa7, 0x238b27da, 0xcf3c5c19, 0x9ffea2c8, 0x81ed21b3,
+    0x7b4911cd, 0xb57b5913, 0xbbe4b7b5, 0x10c1fd54, 0x2753894a, 0x8adcb1aa, 0x9b3eb650, 0xf86e3c5b,
+    0x3f60a898, 0x9c295d65, 0x6c6e9362, 0x366b6a97, 0x0d920cfb, 0xee637234, 0x89f558a2, 0xca24891f,
+    0x8dc29db0, 0x8b8d0ee9, 0xa178e8a7, 0xe6ba09a4, 0x83a5b710, 0xe0c51bce, 0x7a967f38, 0x10ac0553,
+    0xb47b1581, 0xedf8fdec, 0x437410d9, 0xdbbae704, 0x4a664794, 0x3fd48396, 0xe0345e67, 0xc9e8b030,
+    0x1409d08e, 0x54883469, 0x15f35d62, 0x180a2fed, 0xe0fbf226, 0xeb80c4e0, 0xa6e01aef, 0xbaed5c26,
+    0x595b6fd1, 0x63fa07e6, 0xc56cfaa0, 0xd5c5ae31, 0xd9a1d029, 0x43f5d37c, 0x5cb5c48d, 0xcbe870a3,
+    0xcbc79797, 0xf6829f6f, 0x070a0654, 0xa096a022, 0x2376f5a2, 0x4647fc9f, 0xbbe58cbe, 0x00d85761,
+    0xe5e55772, 0xa620051b, 0x10756ebd, 0xe9b50a2b, 0x5315dd06, 0xd5922ca7, 0xbc5906d8, 0xbcdae5a8,
+    0xd852942b, 0x917a2977, 0x70a1e7ca, 0x83cdf343, 0x7ecd2843, 0xef8fe5c6, 0x40af4621, 0x9e53ff6d,
+    0x34626662, 0x0a0f8a18, 0x1429525e, 0xa76218ae, 0x30b951fc, 0x793db985, 0xd8cc7fdb, 0xd62c1dc5,
+    0x1472a804, 0x5d724067, 0xa5f13e50, 0x75bae89b, 0x3c243796, 0x4efe7fa4, 0xfce00a92, 0x446b002d,
+    0x7b4cb4e0, 0xb8e79110, 0xcc3093e7, 0x156e2882, 0x72bc0d3d, 0x15acc3ff, 0xd07ebd11, 0xbaba6ae3,
+    0xd9086fe5, 0x22b5d5c0, 0x537997b7, 0xdb5efdf0, 0x40ec81e6, 0xd3a29d1f, 0xb7b5f9f1, 0xbe7391fa,
+    0xa9ebf212, 0x622ddcdc, 0x5390e05a, 0x30af9ef3, 0x47bfd8cd, 0x32d675f6, 0xf0fc27ec, 0x848119f1,
+    0xd624ac3d, 0xc064d78b, 0xbaecf8c4, 0xfa6f2659, 0xdd759ab5, 0xb14f5901, 0x2e0f0740, 0x6ac8b9bf,
+    0x263892d6, 0x9c911ac5, 0x2c1f0e1b, 0x7b84ab57, 0x5bb9e549, 0x00f35752, 0xceddef0a, 0x67f44103,
+    0x4335360f, 0x64d1a53e, 0x2cd78fdb, 0xea0748b8, 0x53de063a, 0x1818c0d6, 0xd0788db4, 0xacdac1d2,
+    0xf867f506, 0x905f62da, 0x405fc17e, 0x815c517d, 0x716e77fc, 0xe4d98895, 0x1cadb54a, 0x4d0e0de7,
+    0xe4f08ee4, 0x5d3f1f98, 0xd7ceb48a, 0x08dc8d02, 0xfb710b0c, 0xc9fc78b7, 0xa6f77869, 0x74665c35,
+    0x0b4dfa85, 0x0a4e379d, 0x82a49bde, 0xff13d484, 0x76a08a44, 0x2343cfd1, 0x40752aaf, 0x2e50140b,
+    0x0fde033a, 0x193376a7, 0x09f6a491, 0x91f04341, 0xa979a6db, 0x533759e7, 0x5488c8bb, 0xdd11fe35,
+    0x1817f751, 0x01cf2e18, 0x16c50e7a, 0x4d99f3e6, 0x91f1fe7e, 0xd48b943b, 0x7bfbee56, 0xedbf7f2a,
+    0x5e0704eb, 0x1eb2f6c1, 0xeb1bc1df, 0x1c749bb9, 0x867814a7, 0x774fd538, 0x5ec411db, 0x99737165,
+    0x9c63f8a8, 0x4ff9d522, 0xb7578e1d, 0xf6dd664f, 0xddd9e476, 0xced33b34, 0x84d85bcf, 0x29b24e38,
+    0xa99d352b, 0x20ebab70, 0x6f35a5c9, 0x8cbc1fe5, 0x79678d67, 0xf2eb06d0, 0x5c74b6ec, 0x70d97802,
+    0xb264ec71, 0xc8dafe04, 0xbfd73b1c, 0x4f0d0447, 0x4df111ed, 0xb29a94bd, 0x27557111, 0x82698a1e,
+    0x6093c74c, 0xdd6067c4, 0x60f4ac6b, 0x7640ce7a, 0x2bff7904, 0xf5a00e5c, 0x80d1a7a7, 0x1c034ea7,
+    0x151c92cc, 0x339024ee, 0xe7ad0d09, 0x708b2e4d, 0xfb3cf7f3, 0xcb281c42, 0x300d4393, 0x87861463,
+    0xa16021fb, 0xefb782c0, 0xcf6346e7, 0xf0ee08f2, 0x74f4c270, 0x1748b889, 0xd2ef9b87, 0x50289399,
+    0xc9732351, 0xf2baa92b, 0x199be9f5, 0xec52d37b, 0x59021be4, 0x2563ca39, 0x94c81850, 0xc908d9bd,
+    0x00eefa04, 0xdc91c992, 0xe749135b, 0x84f10463, 0x50e9f5ba, 0x198bf4e2, 0x8cacf5ad, 0x4d027c0d,
+    0x8840890e, 0xc57b737e, 0x31e0da22, 0x109a7457, 0xbdd278d5, 0xd73f970d, 0x0d418bc5, 0xb9c4540f,
+    0xf8efa56c, 0x778cce97, 0xef51b988, 0xb2302967, 0xf80d519c, 0xde76def7, 0x08fa97bd, 0xc02bf6d8,
+    0x2c3a2621, 0x59d98c3d, 0x92aa2e45, 0x846e7ca3, 0x1f572222, 0xda60bca4, 0xae71c78e, 0x7e959807,
+    0x3e6fb03c, 0x78ecdad6, 0xbf194a08, 0xa9f07655, 0x8622c773, 0x9061e82e, 0x367a9a6d, 0x3bef72e7,
+    0x6bacd3f7, 0x09caf6f9, 0xde152102, 0x114e3a57, 0x019f019b, 0xdcf657c3, 0xeca217b0, 0x5b656073,
+    0xb0bfd5e0, 0xc723eb04, 0xbb5faac2, 0xf4fa26cc, 0xfa9fcfd3, 0x39a34f51, 0x1b654a52, 0x2543dc6a,
+    0xa024f116, 0xf1ce91fe, 0x3c6a8a71, 0x1aa7f074, 0x76142514, 0x27493052, 0x577a7322, 0xd48990a3,
+    0x88e7129d, 0x3a4c6436, 0xc2ffa487, 0xa723dc5e, 0xab8bac2c, 0x9599c1ed, 0x50f61cd6, 0x7261d51a,
+    0x90ef0d7f, 0x5dd7833d, 0xf55a6759, 0x65bab5f4, 0xd0bf38e3, 0x1c96b106, 0xb809d529, 0x529c1caa,
+    0xf1ca14c5, 0xe7714fe1, 0x6e53cc5c, 0x3d88245d, 0x4592e8d3, 0x20a3cf3e, 0x7b3d26c9, 0xcd8d1d02,
+    0x4b19423a, 0x66261201, 0x6f0b9f2e, 0x0dec6111, 0x1c05438f, 0xaa5c57cf, 0xab01a83e, 0x29a9fb4d,
+    0x2a920af0, 0x0531e7e3, 0x690785d5, 0xba423058, 0x8ce5f105, 0x8b487a4b, 0xd6252fe5, 0x48ebc779,
+    0xf7d17a87, 0x0f898168, 0xa1da496d, 0xb266eb42, 0x3f8f7027, 0xfd1f8047, 0x37b9738e, 0xe8bb4f3b,
+    0x2c3228c3, 0x3962193a, 0x3fcc50e9, 0xb25ad754, 0x165b288f, 0x62f07e65, 0xdcf5957b, 0xe3d3ef7a,
+    0xfe0259d7, 0x7e9906fb, 0xb5dbe7ec, 0x541ae62b, 0x86dbdd4b, 0x199cec5e, 0xdd4ef5ae, 0xd3f1460c,
+    0xdc720a36, 0xeb14e759, 0x3b50030d, 0xf0433ced, 0xe5fe8d2b, 0x5d513e9e, 0xac4616ed, 0x0a8622b0,
+    0x33d4aadc, 0x677ff2e9, 0x1ba2be46, 0x0ced5757, 0xc9d8e8fc, 0xc450c3a4, 0x54377f7d, 0x1751c283,
+    0xde03ce2a, 0x9cb0efdf, 0x59c957fd, 0xe8ac1189, 0xfee44190, 0xec358d98, 0x4cb81e63, 0xd6427300,
+    0x18ea1fb1, 0x6edfec1b, 0x846bb126, 0xebf2c6ee, 0x5fdea46b, 0x65298d26, 0x3a781d62, 0x5f3dbd47,
+    0x95eeaf3d, 0x66438f41, 0x67c0ba78, 0x9c350b2f, 0xc028d64c, 0xc7133199, 0xd9bf0fe9, 0xf92337bc,
+    0xc89814b2, 0x1955f099, 0xaaf62d0a, 0x0122809a, 0x215a9ca5, 0xe6ae0fbd, 0x53caa21f, 0x38ed4d68,
+    0xe12fac4e, 0x3f3023ca, 0x28ad9a16, 0xdf6899fd, 0xba55135a, 0xde45e2d5, 0x2f8e88de, 0xe9f9a200,
+    0xdd22c23a, 0x63d8f4bf, 0xbd6f71ec, 0x22905c34, 0x9e652e14, 0x1099096d, 0x8389f38f, 0xcda99a69,
+    0x486be5f0, 0x4b5ab613, 0x91b04d3b, 0x455ccd7d, 0x9583822d, 0x41c05482, 0x88145a7d, 0xcd007af0,
+    0xe745226c, 0xa4c6e2a7, 0x9e8f934a, 0xc410ce9b, 0x81a9acaa, 0xa9162de5, 0x1f747ad5, 0x9a20d23b,
+    0xe7500902, 0x22248e4c, 0x999476d8, 0x2b9d0755, 0x8e2b5714, 0xb15032a6, 0x2f40fc7c, 0x514eb13b,
+    0xc126ccd1, 0x2488cef0, 0xc7c87e36, 0xc91fbe1c, 0x04a602f3, 0xc559c9c0, 0x92a7eeb1, 0x03de3461,
+    0x83dce82a, 0x97ea7fd2, 0xdfe52709, 0xa81c71bf, 0x817fc537, 0xfdb51c36, 0xad75dfb2, 0x40e65367,
+    0xd45b99d8, 0x83589622, 0xb1328970, 0x892fc45c, 0x0428e213, 0x2cf0a546, 0x98e058f2, 0x8e845e04,
+    0xf62142cf, 0x45163044, 0x4edc9bc2, 0xf3659f05, 0xd6478ad5, 0xc1afbbe6, 0x78418401, 0xc18ffcb5,
+    0x00000000,
+    0xdfdf461d, 0xac5b9254, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0028269553036454149273332760011886696253239742350009903329945699220681916416 */
+  { 0x00000000,
+    0x65876f11, 0xc677b2c2, 0x6ab42406, 0x6d314251, 0x661041f3, 0xdb2e5669, 0x1012d397, 0xb30b513f,
+    0xf9f8c80a, 0x0936d1f0, 0xf3db032c, 0x02585410, 0xb8eddd25, 0x4b5fc843, 0x0ac8b044, 0xfdce12f5,
+    0xf3ba068e, 0x6c09938c, 0x3f99d915, 0x2830c1bc, 0x292a026b, 0xb36138fb, 0x3db0123d, 0x3c8e5dbd,
+    0x0322deca, 0x6785fe58, 0x1ad93eb2, 0x44e4b391, 0xee6eb900, 0xd31ef23f, 0x94feaa7a, 0x3f12af8f,
+    0xe767ce6f, 0xeaa06544, 0x35a9b04d, 0xee0e8023, 0x4b49aee7, 0x51a5242d, 0x51befb66, 0x0a2c0257,
+    0x71a9cb98, 0x9f05a914, 0x813d0f48, 0x1aaccaa9, 0xcaee4c2f, 0x6646e52a, 0x8f7ac0b0, 0x68162285,
+    0x7042bb85, 0x95ded9dd, 0xf9877633, 0xd6d1dbc9, 0x4a00b24b, 0x61cf354f, 0x3fb4efd8, 0xd5812f3b,
+    0x1ffed5d1, 0xf1ec3ccd, 0x41fa876a, 0x7ffbc2bb, 0xe4b95420, 0x61fca9de, 0xafd8f25f, 0x80731d89,
+    0xe686460f, 0x8cb5ccbe, 0x2f5dec66, 0x5ce33672, 0x0bcd3ae8, 0xc55b4cbe, 0xa6859d7c, 0xb0e65c3c,
+    0xfa508389, 0x466fc17a, 0x68e1162f, 0xc8c2e34a, 0x0881cbb9, 0x59af68ba, 0x36885b52, 0x43504da4,
+    0x5912826a, 0xf499a910, 0x3860fc66, 0x7cb1fd46, 0xdacc695a, 0xaf10e656, 0xcfc8599e, 0xabb01e5b,
+    0xb823f507, 0x13595428, 0x87235338, 0x71ca49e3, 0x18081822, 0x603073b4, 0x4fdc02bf, 0x85ca0d75,
+    0xc0cf8367, 0x1805b85a, 0xd2796107, 0xf302b200, 0x8a856b37, 0x9ccda038, 0xc11a88df, 0x5863436d,
+    0x5c74cce3, 0x982fdcec, 0xbee665bf, 0x1ea68d58, 0x47612612, 0x6feba8be, 0x3bacd7cc, 0x84bc9187,
+    0xc7d9064e, 0x6b3e2b1f, 0x4b84bd8b, 0x2ef0b7c8, 0xa1df2423, 0x30f9be62, 0xe06e7692, 0xab37bf12,
+    0x351c2f98, 0x71218134, 0xac178bfe, 0x6dae2120, 0xe8b17e26, 0xd8ea638c, 0xc8f25ef7, 0xc91113dc,
+    0x8fa7e25d, 0x5d03e2c9, 0xbb128552, 0x11d004e4, 0x43519b2a, 0xf5b2a87f, 0xdbe08676, 0x7410ae76,
+    0x1c531fdd, 0x48143712, 0xbfe75b66, 0xc55fcd29, 0x13b2ea41, 0x585e9aa4, 0x1f8e4d8a, 0x5e044297,
+    0x0442780b, 0x9431840d, 0xfbc645d9, 0x39867d64, 0x6f461705, 0xe50a07fd, 0x2fc05ce5, 0xd570fb93,
+    0x445c9fe0, 0x3f9f5cf0, 0xf9da0f30, 0x3ee16f3b, 0xbcf7cad5, 0x9cd84532, 0x5efae705, 0x5f1e0504,
+    0x162b6350, 0xf8e4f3db, 0x02803f66, 0x8bbdf0ce, 0x410ac303, 0xe1a9bff6, 0x2d54d83b, 0xde3fd5c6,
+    0x2d1e0301, 0x98cdb43b, 0x94e34c7a, 0x2e377309, 0x42e5dbfd, 0x762875f1, 0x31c6650d, 0x2c07d11e,
+    0x3999d5a4, 0x5026d933, 0xe718279b, 0x58017b3b, 0x1a9a2fb3, 0x13e89bc6, 0x58da11c3, 0x333c5099,
+    0x0fb7656d, 0x896b7fd9, 0x30054cee, 0x69718a7c, 0x0d8cb77d, 0x8925933c, 0x0913e72c, 0x2c4df5f4,
+    0x98d5bc27, 0xd1ddf14e, 0x34534ecb, 0xd2b8eedd, 0x15af1b62, 0x8cd1a4df, 0xf99d0f4b, 0x8739d9bc,
+    0x67569d2d, 0xcbbc954e, 0xa4432d6f, 0xb165dbd6, 0xad3266a1, 0xf4754b23, 0xff124909, 0x89e02944,
+    0x8eb6cc58, 0xa0430370, 0x6b04a7d8, 0x0c66a44a, 0x836c5e30, 0xc7db0355, 0x84a1b215, 0xd2309c19,
+    0x1d75eb8e, 0x68384fd6, 0x9a056cac, 0x7e6c39ec, 0x5429228d, 0x7191fd72, 0xad261f2a, 0x2cdb2086,
+    0x9f1d44c3, 0x434ea03a, 0x7e874bcf, 0x37bf3327, 0x626160d5, 0x88182973, 0x5d01727a, 0xea6b2dbe,
+    0x54acce92, 0xa3ef2fb4, 0x560fcba6, 0x9b289670, 0xd40a2d16, 0xffa27ecf, 0xe5932ea2, 0xc066e8d6,
+    0x1d5d366e, 0xf95509bd, 0x69cabb7a, 0x4d2e9b0a, 0x7c65de81, 0x96c5a77c, 0x67924aa7, 0xa6a434fa,
+    0x4f448695, 0x05de9882, 0xaf7ef7dc, 0x8159199c, 0xe10641a6, 0xf7662389, 0xc37d6d3a, 0x75f2936d,
+    0xe13c5b63, 0xd4b9d0fc, 0xe0b27939, 0x0fc58740, 0x026f4084, 0x31f5dd0d, 0x23342b0a, 0x4c23d245,
+    0x1a3cd4d0, 0x251045e7, 0x1af0da16, 0x0176770e, 0xc1117aa9, 0xcd7d3318, 0x40aff813, 0xa528b5a1,
+    0xf75ee380, 0x990c6198, 0x948db80d, 0xcb0f75a8, 0x1f71efee, 0x188db7e1, 0x5ce6c7c3, 0xad522970,
+    0x97a1b009, 0xec928e15, 0xcfb112da, 0xa73ccd72, 0x2fe4cb51, 0xb6b0fcc0, 0xd1240a85, 0x9298ec12,
+    0x01ea8489, 0xdd654851, 0x84b9a0c5, 0x42870f32, 0x179461ef, 0x77d51ed9, 0x8c0d0e2d, 0x001d32d6,
+    0xf34fd1c2, 0x16e585b4, 0xd0909c3e, 0x1d557e9e, 0x7d87f4f3, 0x6665ccd0, 0x9167f339, 0xf3f0ab15,
+    0x70a5c82e, 0x2bd26b4c, 0x00cfc1b6, 0x95e2de2c, 0x0dceeed5, 0x06c77ce7, 0xfa818192, 0x6a3592c2,
+    0xdc932167, 0x310531ef, 0xbc0e4749, 0x4e8297c2, 0x35fdf21a, 0x01c9cb14, 0x0bae2e63, 0xc6ddaa24,
+    0x54c1df71, 0xc53968c4, 0xb7c8e69e, 0x37fa5433, 0xad9a33ae, 0x1afa810e, 0xd8039c0f, 0xfdd4afa1,
+    0x1500bfce, 0xa12c996d, 0xc5f4b82c, 0xbb09699e, 0x34130c8c, 0x2f7adf77, 0xd635cbfa, 0x363c915e,
+    0xf010aed7, 0x4ef67e1f, 0x86aa97a3, 0x1f5be493, 0x0067bfc2, 0xefe8271e, 0xdbc637aa, 0x1cde78fc,
+    0xca3923f6, 0xad61d5b3, 0x51cbaf91, 0xfed5799c, 0xbdb48476, 0xb7a3f97d, 0x3436cf7b, 0x0f454341,
+    0x80eeb7ee, 0xc4a79d38, 0x7bb8900a, 0x587ee2b9, 0xa78cf3a0, 0x0b944b67, 0x6be2efd6, 0xa2a94871,
+    0x24ae9bab, 0xce5e2df4, 0x404ab1e2, 0x59b62f18, 0x692c44ea, 0x49f678b7, 0xf62b2e4b, 0xf9108555,
+    0x0c3f8e3c, 0xeea71ded, 0x44dd3df1, 0xf87e753a, 0xc5421f90, 0x0ba839fc, 0x7abce8e3, 0x6f3733a3,
+    0x73a4f56f, 0xe1df31be, 0xe9ecf371, 0xbfa682b5, 0x0c16a883, 0xba9317fc, 0xc43e21ed, 0x32322216,
+    0x1d104e7c, 0xfc6c1392, 0x2a2cf150, 0x7ab82362, 0x568531c9, 0xd5b1f8dc, 0x8dec5595, 0x4c9f371a,
+    0x5fe75a12, 0x0006939a, 0x6297b50b, 0x7eedda8f, 0x0d7c2f7d, 0xad6d27cc, 0x62168c96, 0x98983277,
+    0x0119026a, 0xcab4c78e, 0xed36949c, 0xaa6fe3b6, 0x159fa5f5, 0x2cc46862, 0xe6e30e6d, 0xf900c36c,
+    0xa014f6cf, 0x678a3b9d, 0x846bc4d3, 0xd7e664b0, 0x26a56cf1, 0x11de8633, 0xef9c2f8c, 0xfadf57de,
+    0xc397853a, 0x8baee823, 0xe8588edb, 0xdaf5856e, 0xa74a4bf9, 0xcef633e9, 0x9b172811, 0xee9aa8fa,
+    0x82611d6b, 0x16023518, 0x19e28e34, 0xcec6d558, 0xd0785bf8, 0x568b6996, 0xb0472485, 0x477ee0eb,
+    0x64eac9bd, 0x123d8d47, 0x6810edab, 0x660361af, 0x8125e27a, 0xe4dd81ac, 0x7d3dcd73, 0x805ea998,
+    0x2b03f216, 0xa2b8d56e, 0x9065fbc9, 0xa48e081c, 0x3063e3ea, 0xfdc9ae02, 0xf91e018a, 0x7842a5f5,
+    0xa6616472, 0x34218ac5, 0xe9d547c1, 0x05a2467c, 0x10644ee7, 0xd2445283, 0xa76c3676, 0x77dfc398,
+    0x0214ec06, 0xcb296159, 0xac00eadd, 0x515b8d4e, 0xbef17b0b, 0x7b71a68c, 0x5e5a4398, 0x8643e3ed,
+    0x55c06cfd, 0xdd0d487b, 0x5dfc4b15, 0x9cfa9c3f, 0xb9534bf8, 0x495cb4a4, 0xe8869413, 0x2279d7b2,
+    0x5f83d50c, 0xfdc095be, 0xbfc6d186, 0xe4c78abd, 0xd89caefa, 0xf9e45be9, 0xf91a79cb, 0x4536a0be,
+    0x28746c1a, 0xf625a240, 0x5318dbe1, 0x41e89fd7, 0x72552568, 0x8293d345, 0x478365dd, 0x1930595f,
+    0xb1bb0e75, 0x03d1e788, 0x1bbb4521, 0xab61f1ca, 0x983a2f0f, 0x3d711d86, 0xba1f93d0, 0xf1e4c6f1,
+    0xe68d866b, 0x20b2bfeb, 0x778d6335, 0xe4abc01b, 0x4938e3e7, 0x25775f76, 0xe7cdbdaa, 0x9fe63093,
+    0x37f2799d, 0x35c397e4, 0xe3a6e1fa, 0x01b0ad8a, 0x7d4ccfee, 0x1278a204, 0xdd0da0b3, 0xd0d90e54,
+    0x375c3354, 0x9be0305e, 0x51e8e9d9, 0xd711d86b, 0x1eeb903f, 0xfeb351f9, 0x680f706a, 0x2b4645ac,
+    0x7bc052a6, 0x457b7086, 0x0496b613, 0x50e25db7, 0x7f016f2a, 0x1dd996ef, 0x5d1877cc, 0xe63e6184,
+    0xcf1824f7, 0x29d1fd1d, 0x01897664, 0x7ce77810, 0xb1b639c2, 0x643af64a, 0x07a65f7e, 0xdeb91ba4,
+    0xe479def2, 0x786393eb, 0x4a44eebf, 0x4c024ae4, 0x68cb66f9, 0x2019c680, 0x41e4f8ef, 0x290900ef,
+    0x028b06b0, 0xea3abbb5, 0xd9a79d3f, 0x4f756259, 0xde77a14f, 0x51ef6b66, 0x5c8b7ee4, 0x62dbadcd,
+    0x7af75421, 0xe20c9093, 0x246ab4ce, 0x03f48d46, 0x0983d940, 0x44ee0796, 0x996433a5, 0xbd010931,
+    0x07876459, 0x5125ee2e, 0x9b7fcd92, 0x547efe84, 0xe7bd66f0, 0x321cab3a, 0xba7638d4, 0x5f4b71d2,
+    0x4a631d13, 0x8c9048ae, 0xe4da76d3, 0xd301b40c, 0x1e4900df, 0xd7b77901, 0x972ae58f, 0x890284d9,
+    0x50a7c8f5, 0xe7d818df, 0x42f50c2b, 0x84969307, 0xd03eb6b1, 0x10def2ec, 0xae82069e, 0x1d8c1c0f,
+    0x98ad7223, 0xaf6318ee, 0x51e1e502, 0x63263001, 0x2b365241, 0x1be57ad6, 0x786f7837, 0x3eb33994,
+    0x52280ede, 0x9fa18617, 0x319db807, 0x4fc2911a, 0x4e9ab505, 0x19fe8ce0, 0xee23604a, 0xa8cd60a7,
+    0xca9866d9, 0x391bd3e4, 0xd98a94f9, 0xf63f0356, 0x1cf356d6, 0xfff931ef, 0xcbe288d8, 0x92dae32c,
+    0x6e64aa5d, 0xa1d828f2, 0xccc676f0, 0xfa297d9a, 0x13d81eef, 0x924992ad, 0x8391c2e6, 0x3a1ee5c6,
+    0x8ff36fdd, 0xfeac8149, 0x1d7ad991, 0xcb9cb494, 0xddb02910, 0x18d05516, 0x28f0cfed, 0x84ed03bd,
+    0xe6d67d50, 0x28e602c2, 0x928132e9, 0x6a6881d9, 0x5f5c1abd, 0x4e4ec535, 0x4c95fac7, 0x0f6c19a2,
+    0x3340ab58, 0x24eabafe, 0x268f9497, 0xc5af8a66, 0x858bc7d3, 0xda759192, 0xde2211a1, 0x29ac25ad,
+    0xf862ebd2, 0x7affa529, 0x3746800e, 0x36c982dc, 0xf1c98d62, 0x3422a7a8, 0x32d02bc8, 0x761b96f6,
+    0x814b2bbb, 0x628d2a89, 0xbf71e44a, 0x209776f9, 0x0074778f, 0x92ab7ffd, 0x7e83e446, 0xde30f33f,
+    0xf188f1d5, 0xe2c58218, 0xb90fa343, 0x641315db, 0xdc81d0ff, 0x24d22f74, 0x5ba3bbff, 0xb69ec49f,
+    0x93a1687a, 0xb7d210b0, 0x854083ed, 0x65c4f4bc, 0x47fb6d86, 0x63edb281, 0x63001453, 0x5881d2db,
+    0x3bbb5d31, 0x81b4daa9, 0x8a9030fa, 0x0e068809, 0xa77ad1a7, 0x43613a77, 0x91a46eb8, 0x3c9119f4,
+    0xb52cc353, 0x17a72f6b, 0x7795ec41, 0xedf1dfe8, 0x2ab4d13c, 0x19cc52e2, 0xa77fd43e, 0xca5464f7,
+    0xbe168fcc, 0xbce0e16c, 0xc8d2273b, 0x14aeb004, 0x75de232b, 0xd175434e, 0x4db14132, 0x894c41fb,
+    0x538fc41d, 0xfd178fcb, 0x70eaa7f2, 0xa7248c17, 0x8186812f, 0x7f34e899, 0x8bab5e83, 0xa80aff73,
+    0x313b2a46, 0x6aa9c3c0, 0xace42925, 0x84a34baf, 0x2357b3df, 0xc2051804, 0xe49ffcb3, 0xf54cfd8d,
+    0x596fa9a4, 0x03c3d1b3, 0x0e612dd2, 0x2ac1527d, 0x973debc2, 0xedb40406, 0x7e11b6ee, 0xae3a8506,
+    0x66df121c, 0x33946d59, 0x044a346b, 0x0d073fd1, 0x556b3dc4, 0x8796de07, 0xfdfe94e8, 0xeaf774c6,
+    0x795fd68e, 0xefac77a7, 0xa2e65664, 0x30e4d948, 0xa0839892, 0x4b7b62f8, 0x88336481, 0xb1e1ce7d,
+    0x3f9cb01f, 0xa838a91d, 0xa32e724a, 0x2203e3a4, 0x527d2a5c, 0x10a3fbe6, 0xfa787b68, 0x3992057a,
+    0x1ac74e69, 0xf884ce09, 0x24ca747f, 0x6b92a922, 0x094b8812, 0x7e041dfa, 0xacf3489e, 0xe92c2cd8,
+    0x6889a5b5, 0xaf35cafb, 0x62b7be26, 0x732e7035, 0xafdf5423, 0xf511ba89, 0x9fc0011a, 0xb624ad24,
+    0x4c045d17, 0x2737d945, 0xf1f03aa7, 0x2bc8d637, 0x1b564963, 0xfa876995, 0xfbb6a815, 0x8329c859,
+    0x2eae31a3, 0x39322ebd, 0x9500f081, 0x902825a1, 0x62623f50, 0xde61f636, 0xc742e598, 0x41997fab,
+    0xb6ea1bef, 0x6fda6c53, 0x601ddfda, 0x15f2f645, 0xf9c20a24, 0x871be701, 0xa00555ee, 0xa53c6aa6,
+    0x140d5625, 0x183a8d3c, 0xcb41a9ca, 0x2e3f3db3, 0x0422d23b, 0xb418b1bb, 0x488f9e03, 0xc7aacc39,
+    0x5f924630, 0x89d1966d, 0x2bf7fb8f, 0x5579618d, 0xffa1ab1a, 0xb10719ef, 0x425e63db, 0x17e9a6ca,
+    0x532562ba, 0x954cca89, 0x6fafc86a, 0x64a0925c, 0xe8922436, 0xfb20fa59, 0x88f67817, 0x7d9682e3,
+    0xd6615a5b, 0xc6968269, 0x27e61f3f, 0xe0433915, 0x1fa73e4f, 0x71f0f681, 0x4d83d793, 0x97992fd0,
+    0xfb79b0c3, 0x0536b468, 0xedfd2c63, 0x9b4e2d9c, 0x388b4598, 0x6ea7253f, 0x92bafed9, 0xfd897218,
+    0xd349970e, 0xada71e84, 0x37faffd8, 0xef99d76c, 0x64770f2a, 0x1a64dabf, 0x9162fc13, 0xb6bb6ebd,
+    0xbaaceeb2, 0xc7d5cbe5, 0x1dfabf56, 0x5695e13f, 0xe942cca5, 0x5be2e896, 0x0daa617b, 0x261b33ee,
+    0xfe25eb51, 0xffef4ba2, 0xca63db44, 0x26d4bc1e, 0x9d3ba5b9, 0x28ea4bf6, 0x8d878436, 0x53202806,
+    0xadbd53bb, 0xb0060340, 0x3dd98a86, 0x27cfdd35, 0x3450439e, 0x1f01dec8, 0x9d6c8158, 0xf2a5564b,
+    0x1356ddd8, 0x9fe5e4d7, 0x1d1f1a74, 0xdf171343, 0x0e16a90e, 0xf286f359, 0x863cd24c, 0xa7e000c7,
+    0x97fecc63, 0x3c1850dc, 0x2985fce2, 0x9b6c80cc, 0xcc0a5bc7, 0xbd9ee179, 0xf2f2dd1a, 0x2beb4e7a,
+    0x030c85d8, 0xf4b8f8f6, 0xecf110b4, 0xc494b792, 0x35136703, 0xc40fc061, 0x79f74448, 0x8c13f510,
+    0x7f8ac6a3, 0x2af2201b, 0x6d262822, 0x49b2f69c, 0xbe230186, 0xe5612d0c, 0x36780293, 0x5bd309ad,
+    0x20eeff15, 0x8b93ffe2, 0x91ee9638, 0x15af81c7, 0xa1f15561, 0x87a4313c, 0x0aeeefc2, 0x8c3390b3,
+    0xec0efc6a, 0x3b71c08a, 0xa0a10f82, 0x71587c4f, 0xed7aad1f, 0xc7b1f1c4, 0x5f1a0799, 0x45f8765d,
+    0x6370c0d5, 0x921f2380, 0x7f650065, 0x3a0ce3be, 0x4e756d6c, 0x62f6d94d, 0x2a68c4a2, 0x1ae5d61d,
+    0x49c422c0, 0xf66c9854, 0x01b555a5, 0xb88e2329, 0x04ccd90c, 0x572e824d, 0xcefb0bcf, 0x7d138c7f,
+    0x0e990707, 0xe9b926c3, 0xaeaec09b, 0x7289a6de, 0xfdeb6caf, 0xde195518, 0xc985dd4d, 0x1c81fb5a,
+    0xb3956028, 0x68d3bd03, 0x60640350, 0xad65f090, 0xe06d58e1, 0x9a5fc88e, 0x378d1598, 0xff766f03,
+    0xde8121b3, 0xb732c9bd, 0x57063fb2, 0x699be69f, 0xeb3983ee, 0xfd22ae47, 0x0b647496, 0x2d3217ff,
+    0x0a3ba3c5, 0x58db1e19, 0x69052cd2, 0x17a059f0, 0xcb446878, 0x30e65523, 0x42710661, 0xa153a121,
+    0x6c318977, 0x5fa7a694, 0xfd58c483, 0xaad6d1c1, 0x2f1006af, 0x9839af15, 0xf95b9dff, 0xe6d403ec,
+    0x1498c0b6, 0x890d17b9, 0x8ce10465, 0x505bae1f, 0x3f79af27, 0x21722c39, 0xa580533d, 0x4e05d3ac,
+    0x0207e2bf, 0xe2e26d0c, 0x05ea8b74, 0x12e9cf75, 0xaeea70a0, 0x8731580c, 0xfd0e10b0, 0x23bf952d,
+    0x9c58a1e9, 0x02c026be, 0x9e577b65, 0x623a76db, 0x13465293, 0x32d0744f, 0xd6d8e82e, 0x39690457,
+    0x8a8eb8f1, 0x2a96b161, 0xfcac9874, 0x5007c513, 0x61b04ca9, 0x4ecd8f5d, 0x8e1f3de7, 0x7709a210,
+    0xbd5ea420, 0x3a66ca7c, 0x4f78c623, 0x54275e87, 0x5cc490b5, 0x43dfdfbb, 0xd17d938c, 0x930b0457,
+    0xada8cd43, 0x169304a2, 0x34ed36b9, 0x4a741d0b, 0x2d84ec6a, 0x56fb230f, 0x9b0f2c32, 0x9d676734,
+    0x00000000,
+    0x6fefa30e, 0x562dc92a, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0014134776518227074636666380005943348126619871175004951664972849610340958208 */
+  { 0x00000000,
+    0xd8a7d7d9, 0xfc14e812, 0x8ac3f55c, 0xad707085, 0xce3fc856, 0xe2b503a9, 0xf5c80157, 0xb8da95c0,
+    0xcd87e25e, 0x6563fbd2, 0x350e5933, 0x4da60a99, 0xa4c7f122, 0x034531f3, 0xc0453a65, 0xd6080f82,
+    0x6407e5fe, 0xc1796be9, 0x5abf85d4, 0x35879e67, 0xe67ccc59, 0x58f8a286, 0xf5256ea6, 0x3863b89b,
+    0x6b36a1a3, 0x218beead, 0x42a7647d, 0xdf897a98, 0x16aaa2df, 0x107a4ac8, 0x9d3b6d84, 0x7645c8a5,
+    0xe801e04b, 0xb1f6725b, 0x936b0e19, 0xa6c88382, 0xc1349132, 0x4d7ae85b, 0xc19aa62a, 0x3441e3a9,
+    0xbb84498a, 0xafc72c4e, 0x94f68b49, 0xec64c796, 0x5c53755f, 0x321cc9a9, 0x1169464d, 0x2970bdd2,
+    0xe5ff6332, 0x71ba3908, 0x900302b2, 0xc74a22ca, 0xcc75f746, 0x2f5120d6, 0x5a62fbf2, 0xae69caa3,
+    0x976fc675, 0x85f54078, 0x2b70f198, 0x846884ef, 0xcc0b1aaa, 0x92cb03e8, 0x4e1a6d44, 0xae6fa7fa,
+    0xeb8281ad, 0x0a83e665, 0x9bfc5304, 0xb44c8b13, 0x47a1f77d, 0xf71ce8d6, 0x1ecd6448, 0x88a1c6fb,
+    0xa10c4c41, 0x55a6d550, 0xd218e12f, 0x4ff41c38, 0x5aa3eba2, 0x549ed32d, 0x02a2b2f1, 0x7d33581e,
+    0xdee9aaa1, 0x1d3c3d65, 0x7d9b4160, 0x53e935b5, 0xcf48add9, 0x9081f24b, 0xea3bbed6, 0x0019570e,
+    0x4fbaa765, 0x474611ca, 0x4d3bc533, 0x8a2230b6, 0xead30fde, 0xc31d8958, 0xcd00182c, 0xa0c6341a,
+    0xcc47e7aa, 0xf05d6cf2, 0xd6db587b, 0x6fd80adc, 0xb428ce20, 0x33fd9327, 0xf8eb0c12, 0x6e5ad58c,
+    0xb03d8d83, 0xedcb45cb, 0xe52cbad5, 0xa3db8480, 0x40e7820b, 0x142673ef, 0xfba210cd, 0xc9e9e5bf,
+    0xaf0c4ce4, 0xa8456e6f, 0xbf73c710, 0x066a0718, 0xfc78202e, 0xb731cc6d, 0xe743f0ef, 0x2c3bfb73,
+    0x793115c3, 0x0c2b6412, 0x3771e09b, 0x2c42d6da, 0xc8217301, 0x9c584012, 0x45a12a15, 0x4ea17f4d,
+    0xe724944c, 0xe46ecc18, 0xc52c7d1e, 0xd2583cee, 0xeedb38f7, 0x9de863cb, 0xd32a6807, 0xd55c5a9e,
+    0x1620b5c2, 0x70128309, 0x07d83d43, 0xaf2ff78c, 0xcac61bad, 0x0ac45ead, 0xe562ef01, 0xe2f788f1,
+    0xff4cf751, 0x629cfcac, 0xf59a7021, 0x199efe7f, 0xd85e942d, 0xa8ed0b9d, 0xaa7e2349, 0x377e05b3,
+    0xca353ffc, 0x9ed6f6d2, 0x07eb93eb, 0x43e5c317, 0xa26ff686, 0x73a7e6e1, 0xe530171a, 0x1ed6c0ea,
+    0xc5d1dac9, 0x0f2551a8, 0x9a521866, 0x37c7459e, 0x0331c0b0, 0xaa939245, 0x9670dc87, 0xf33dfbca,
+    0x10cc2ff1, 0xf0c60415, 0xad8e3b74, 0xf9109b3e, 0x7d55ac36, 0x1075c568, 0xf2eadacb, 0xdaf17163,
+    0x52310818, 0x47da2b42, 0x4974a072, 0x15e29f6b, 0x1fbd74c4, 0x44dbb353, 0xb616b796, 0x7bdf875c,
+    0x47c962bc, 0xfd0dd4f0, 0x714a672e, 0x7d903b82, 0x590e5221, 0xf32b8e6e, 0xa3a21b90, 0xf492a512,
+    0x28d6010a, 0x562766ce, 0x177cc7de, 0x318b4766, 0xed930c2f, 0xdd3f6f0d, 0x95e81cdb, 0x753154dc,
+    0xe078830a, 0x34fac89c, 0x222e0f66, 0x36746297, 0x45102604, 0xce92bdbf, 0x97c0c1b3, 0x23148ae6,
+    0x81153302, 0xdd74c140, 0x59041fd5, 0x4a20b6eb, 0xf7bf976f, 0x985a29b6, 0x60db34e3, 0x3ccfa3ef,
+    0xd859abbb, 0x4539f14c, 0xf42d732b, 0xd2b141c0, 0xdfabdee0, 0xc06ad37f, 0x6fa0610b, 0xb0a6d498,
+    0x624dd279, 0xf43a4110, 0xb34a891f, 0xef0df96c, 0xce0a3909, 0xafed86f0, 0x0e216322, 0x8e0ebf01,
+    0x88ce2801, 0xcc46deef, 0xff4887d0, 0x4c637d5b, 0x6f7edade, 0x4ffd926f, 0x709418c3, 0x349b2074,
+    0x03463bab, 0xfccda87c, 0x18b676dc, 0xeda32978, 0x08778b35, 0xfec981b4, 0x02cbcfdf, 0x8b0168af,
+    0x7b70c649, 0x32e8302c, 0x75ff251d, 0x7841c3dc, 0x47b47298, 0x64dc9951, 0xab2e4077, 0x5e19fb2b,
+    0x534796f2, 0x5420d249, 0x6c7da0d1, 0x5d40ab2b, 0x0ba3b93a, 0xb2618e47, 0x57800e4f, 0xbb2155ab,
+    0xf9d6118e, 0xe8ac6ce3, 0xae37b8f3, 0x3c5b5873, 0xadd9f280, 0xf557652f, 0x76ba9fdd, 0xb66d9ab0,
+    0x7aceaac7, 0x6f013025, 0x340868b4, 0x530b43ec, 0x4b8c13cd, 0x214ce368, 0x2da02932, 0x9e296d29,
+    0xf8145c30, 0xbcb79de2, 0x6edd59da, 0x8864069f, 0x5379023e, 0x31e552b1, 0x393d41c8, 0xffa0f3a7,
+    0x7f6f3092, 0xe017d0ea, 0x99ef84f9, 0x9d659179, 0x8d641dbf, 0xa3a1400e, 0x83d4a4b3, 0xd62aa637,
+    0x1d417761, 0x1cc565df, 0x73683775, 0x11118a0a, 0x2e6792c9, 0x0019dcf8, 0x10eb3a19, 0xc2f4a87f,
+    0x4f0c200e, 0x774b6b49, 0x3e146224, 0x922fed59, 0xfae10ae9, 0xe00e6663, 0x27efb454, 0x1c942825,
+    0xeaf2b124, 0x6a98f1ae, 0x4591a7e6, 0x18f46b9b, 0xe77a467b, 0x74b71555, 0xe68e701a, 0xc6de4a5f,
+    0x091085aa, 0x18277efe, 0x1bc243bc, 0x332d8aa3, 0xb6e70e44, 0x58057e2a, 0x0d93c9c4, 0xabf7a775,
+    0x74180465, 0x82cdda22, 0x11d6a5f2, 0xb8bda80a, 0x3c79f3f0, 0x99d48575, 0x6f4eefd5, 0x25e598a8,
+    0x9ab64437, 0xda699036, 0x8d9f94c6, 0xca15a0fe, 0x13b7576e, 0x39d9b22b, 0x03534f57, 0xf7785d08,
+    0x8ed64831, 0x101ddbac, 0x5e5a2aac, 0xcb44fbff, 0x0c23b742, 0x87e87170, 0x1b5d40ad, 0xdbe5ce29,
+    0xf8a956e7, 0xadb06463, 0xaafa1c4f, 0xf1e6e1fe, 0x1049e06c, 0x6da7bc6e, 0x3f1c23b4, 0x91c3e437,
+    0x8922840a, 0x58179ed6, 0xa47f06d8, 0x4048eaaf, 0xfadc268b, 0x18a20c00, 0x892aa2d4, 0x525740c3,
+    0xe7fbee3b, 0x0dce38cf, 0xc4bc14b6, 0x397421d4, 0x72570071, 0xba25f65d, 0x81da2f37, 0x592067b0,
+    0xaf75a462, 0x058384e8, 0xf3a48954, 0x81fb1d9e, 0x1e4173de, 0x9ec63805, 0xeecdc8d1, 0xb20865c3,
+    0x0170365b, 0x8d62d7dd, 0x8b6f1ae1, 0x0aecf706, 0xda531438, 0x3b5f3185, 0xdb334ad6, 0x7745e08c,
+    0xcbe03fc7, 0x8ea75736, 0xe4635aa0, 0xdf57941c, 0x36075733, 0xbe08cf49, 0x6c18dd67, 0x98308996,
+    0xad8f1d74, 0x76ca9199, 0x89515358, 0x3ffe77af, 0xf508ea60, 0xbfe18dfe, 0x0269185f, 0x84b6a64a,
+    0xee3617ee, 0x071bcfbf, 0xe9ce9e1e, 0x344535e9, 0x5b73bdbf, 0x1d5bc98f, 0x1b2392f9, 0x569d0e9f,
+    0x3c83c084, 0xf744f5a3, 0xb3b2ad4a, 0xad31c5ca, 0xfa93b6bd, 0xafde3067, 0x6734aa40, 0x4f5114f3,
+    0x99e98700, 0x255bf3d1, 0x89155f65, 0xc44823e6, 0xcf988d8f, 0x5b126057, 0x359d85ee, 0x0aa71e9c,
+    0x34283615, 0x6d0b0c51, 0x8f73e1d9, 0x313eb139, 0xb9308b5c, 0x82f849b2, 0xd36c5683, 0x0372a954,
+    0xdf77089e, 0x7bf7972a, 0xf8300bf0, 0x485f3aa9, 0x34b41a41, 0x8f3749c6, 0x5bf06b20, 0xa7d79b78,
+    0x5cc929d9, 0x414c4d7c, 0xf835ef5a, 0xefb65e30, 0xb1c8aae7, 0x16419b24, 0x8378007f, 0xe43adf19,
+    0xa81b372f, 0x4fb31255, 0xff2d6e1b, 0x3d3984ff, 0xb528267b, 0xf649ec4f, 0x2c133772, 0xaf4f426b,
+    0x4988e27e, 0xd9e1176c, 0x1e74ee8f, 0x0b926132, 0x46cb211e, 0x88287fee, 0x04d8a91f, 0xc02ebd30,
+    0x93c8ec8b, 0x98949e32, 0x846feca4, 0xc705e744, 0x09aac228, 0x23f1c96f, 0x2b475517, 0x946fc8b0,
+    0x7eb7372c, 0xcfeb866e, 0xed54af38, 0x7c81d76b, 0x210a94d8, 0x69ed6e54, 0xac69d6de, 0x8c30639e,
+    0x490db112, 0xe80cf5ac, 0x69060e73, 0x152bffb7, 0xbc62b938, 0xf26e4e67, 0x7f1d0325, 0x69e55ec5,
+    0xd41cc15f, 0xf7cac13e, 0xb47e389d, 0xc79aa57b, 0x975b71de, 0x55b503b9, 0x112022ed, 0xc3bcc078,
+    0x08e8c097, 0xfe6ebb95, 0x91a2acf7, 0x31d358dc, 0x154637ae, 0x85914712, 0xbd4672c5, 0xb50d6858,
+    0xb79179df, 0xb66d8291, 0x4c26b4c2, 0x58339fa2, 0x806f6242, 0xa1a01fb2, 0xce982e82, 0x6fcb14af,
+    0x91b827be, 0xf4a470da, 0xa111b3c9, 0xcb56133f, 0x230c9f72, 0x41d252b5, 0x85e0c9e0, 0xb51a482d,
+    0xf5dca273, 0xf91ba32f, 0xa2c0b371, 0x181d3b06, 0xac0d05b2, 0x83ed7af2, 0x652db163, 0xf67807f0,
+    0x3746b180, 0xe5939fdc, 0x210439e5, 0x5397318b, 0xefc65c90, 0x582402be, 0x290a82cf, 0xa28cd7c9,
+    0x479402bd, 0x5570535b, 0x16235f2c, 0x8338e224, 0x7c80a0f2, 0x99936c9f, 0xb30ca0fb, 0x104d4478,
+    0xd706d599, 0x5576cef6, 0xdc7425de, 0x32f705c4, 0xa94ae32c, 0x941036b0, 0x1ee807b5, 0x0fbd6496,
+    0x7a1af33b, 0xf3eb83f6, 0xf06fcfd7, 0xb8e3a6e4, 0x39371370, 0x99fbe9d5, 0x3e19cd2d, 0xf09893a1,
+    0xf7667fee, 0x913e9b9d, 0xe98a3494, 0x3b457cb6, 0xc51bbbd5, 0xc8730689, 0x4ccbaf5c, 0x1fd86ade,
+    0x58681912, 0x62b13946, 0x2f055779, 0x2278fd5a, 0x8ef2dbad, 0x017c5708, 0x438fee9e, 0x7071cb45,
+    0xe9b2271e, 0x4b4017e4, 0xe9889d7d, 0xf3949f17, 0xa38510ea, 0xbc45bd9e, 0x62284a3e, 0x5856cb0b,
+    0x6e3fd992, 0xc42e678b, 0x001289ad, 0x0ba8c7e2, 0xd1095940, 0x15e9dedb, 0xe776b1a7, 0x450db6df,
+    0x46ffa568, 0x46cc438d, 0x6575c860, 0x28f50b1a, 0x2bde4dca, 0x439a045e, 0xb4fc2a76, 0x5e32dd17,
+    0x71136db0, 0xd03fefc4, 0x409dbd48, 0xc23bdbda, 0x59b185f8, 0x5cbedef8, 0xa7b250df, 0x46c7ebc7,
+    0xe0c5b22f, 0xc8636a2d, 0xbf610632, 0xb2275a34, 0xd033fda5, 0x66c1f6ef, 0xe0499553, 0xaa0e0e2b,
+    0x0e92d68f, 0xc1331926, 0x7d61996b, 0xd51e0fca, 0x0e952a9f, 0x65c87abe, 0x19b089b1, 0x39e3cdbb,
+    0x70c551c9, 0xe6e5f341, 0xd5a34099, 0x21f897d4, 0x9a128190, 0x2d6872c6, 0x9e3e2c80, 0x930ee9c1,
+    0x0731fb38, 0xafd83a64, 0x56effc30, 0xfcce20bd, 0x21b3be01, 0x6b8d6186, 0x5a60266d, 0x8a92dd97,
+    0xef9a7fc7, 0x283a4f8c, 0x2bef07ab, 0x8cb947bf, 0xecb75c85, 0x43ec1985, 0x37cea4c8, 0xc971daf2,
+    0xaf859021, 0xf03f4f5f, 0xd55289f7, 0xb01bc433, 0x2e12cba8, 0x3a321021, 0xaf4ad204, 0x9864ce76,
+    0x1a9a88f4, 0xe919241f, 0x16fbf479, 0xf3a0d5fd, 0x170b2f07, 0xc2c8065d, 0x128e898e, 0x277a2674,
+    0xd234047d, 0xc0aab776, 0xa63ee84a, 0xd62624e6, 0x25ac2a95, 0xaada866a, 0x59a29d28, 0x1b4375ea,
+    0x39b02f3a, 0x009c8b0a, 0xfe4afbfa, 0x0468088d, 0x47cb11fc, 0xe6ee2aa3, 0x64476098, 0x73c3a7f1,
+    0x328daf59, 0x6d0a3172, 0xf3c388ca, 0x8d647e59, 0x6d159c7f, 0xa19173f5, 0x8a5b015c, 0xc64c9f78,
+    0xee849a21, 0x4d9894f7, 0x02c4fff6, 0xc60fe8f8, 0xaecdadac, 0x6e9f2105, 0x9f673887, 0x7e0d37a7,
+    0x49f2b7c3, 0x6d444b6f, 0xf5fd9f1c, 0x7b88b152, 0xd770ea45, 0x4487bece, 0xcf1eb5af, 0xf5148d59,
+    0xb68d57d6, 0x95498b77, 0xa93b3c6d, 0x1e8a09a2, 0x037613a6, 0x271b788a, 0xce217152, 0x0d7824b4,
+    0x5d864927, 0x368146c9, 0xeb0222c7, 0xde7e20a1, 0xededa821, 0xbe4cffe4, 0x3d7b98eb, 0xb62bdcf5,
+    0xaa5d640e, 0x106aac93, 0x1e4df569, 0xb1d7954c, 0x432f6b1f, 0x450d0383, 0x1b5406d1, 0x1eab1891,
+    0xc8a9a133, 0x87ec0a53, 0xe809497e, 0xcb27133c, 0x2bb0075e, 0x4b972b9e, 0xb3bc985d, 0x8afcc5f1,
+    0xdacb1118, 0xd66a43b3, 0x91772cc6, 0xc396452b, 0xdbbf699d, 0x854362f4, 0xfe8ab4f9, 0xb8c38e74,
+    0x33cbf659, 0x2df2ffd2, 0xbeb74abd, 0x2e6719dd, 0x1b31866d, 0x04819f09, 0x705dbece, 0x96310be0,
+    0x3de8c6b8, 0xf9c88378, 0x2be620ba, 0x1a330844, 0x441ac830, 0xfc737d4d, 0x4cd941f5, 0x4ffb41b5,
+    0x5b1bc66a, 0x139794f7, 0x5e09a529, 0x1a905a71, 0xfe739ca6, 0xc3cc40c2, 0x33ecdf8e, 0xe5d06866,
+    0xf5336327, 0x0f0e1cc6, 0x9cccd37f, 0x9355ac44, 0x3137f361, 0x9edc8942, 0x8719e541, 0x2922492a,
+    0xcb9b1b68, 0x91a7f199, 0xddb177bd, 0xd33b104b, 0xd0d9909c, 0x5918241a, 0x099d9121, 0xede16d61,
+    0xb5378a5d, 0x2fa27d0b, 0x1dc193ae, 0x5606684a, 0xac81734f, 0x942e0367, 0x0da3a127, 0x5d13c10b,
+    0x42f5433d, 0xf74b5842, 0x81204554, 0xda180e99, 0x7fddb84a, 0x8b9cf7c5, 0x46818c39, 0x8502b575,
+    0x3f1e2223, 0xa60d0a78, 0xafea1f21, 0x1f8dc090, 0xcf78bbe0, 0xa54d1b40, 0x1a7b1563, 0x950c870c,
+    0x4ec0c7b5, 0xc8cc3bf1, 0x5b060420, 0x2bad2c56, 0x1e2aec3a, 0xe45765cc, 0x3a468bf1, 0xb97fb3b0,
+    0x39460b9b, 0xe9f22a82, 0xf34724ae, 0xda0a123a, 0xc708b653, 0x0ab2ac80, 0xcf2048bc, 0x1e9dc9ab,
+    0xc1d5f4d2, 0x659f5533, 0x4aa231fd, 0x1c9470f9, 0xe81ce3e5, 0x80eb4180, 0x3ffd66ad, 0xa41f405e,
+    0x5dc4f67a, 0x91e5f578, 0xe05acb4f, 0xf9d6b2b5, 0xae9fa5ac, 0x63fe8fe4, 0x6f74cfbc, 0x25041ca8,
+    0x8b66899c, 0xc7f8eaba, 0xf2a82bf9, 0x72d70e36, 0x9dce5cd6, 0x28b7cf3e, 0x103f5b93, 0xc1132bce,
+    0x9814d905, 0xf44e7d18, 0x4e08d607, 0xbd296e6c, 0xa7a67927, 0x2474d4ea, 0xf0ae4d16, 0x5c873cfe,
+    0xe152f86f, 0x02226830, 0xb8602aa9, 0x58b8b41d, 0xb07b168f, 0x3bdbb329, 0xb3235a98, 0x951f95d1,
+    0x2752e1b9, 0x5cd9bde3, 0x9d0d8f92, 0x3f5e1e89, 0x4b368f96, 0x57dea167, 0x758bac03, 0xa867403a,
+    0xb71557fd, 0xf1bb1d4a, 0xfb384d58, 0x19ef6b93, 0xaea49d19, 0x7e871db5, 0x85e1fcee, 0x80a2d7a3,
+    0xd310a7dc, 0xd6078a0a, 0x69888b3d, 0x0b1ba9c7, 0x6bb15a71, 0xcf1591ef, 0x8c95acda, 0x768b4808,
+    0x4336225a, 0xdbe989c1, 0x4a22067d, 0x518fa240, 0xe5dc234c, 0x3267847a, 0x5f716270, 0xc9b2d8ca,
+    0x90d980ad, 0xc28f24bc, 0xd2eec992, 0xc6d078aa, 0x7acdb2b4, 0x297db3cc, 0x02644cfa, 0xd27da1d0,
+    0x5f71eae6, 0xdd4253f7, 0xa5fcb947, 0x81890b28, 0x8ea54098, 0x9ebbc180, 0x36f1cf29, 0x2398ac46,
+    0x1f240fa2, 0x40d9a6d8, 0x60466530, 0x48c4f040, 0x0400eb64, 0xc8e4d068, 0xf8722375, 0x6411895d,
+    0x8538bfb6, 0x6ebc55ea, 0x34151478, 0xd2e815f6, 0x625d800f, 0xf5430ab4, 0xfc0945fd, 0x0d07386b,
+    0x27a91eec, 0x9e9cbaec, 0xad94d2c8, 0x941feb4b, 0x6d37b7aa, 0xb50b7959, 0xf795e5e0, 0x55752fc8,
+    0x270e4ae5, 0x6a011924, 0x342a5de5, 0x849b04b7, 0xdeb5ca97, 0x41a92ce0, 0x39c955b9, 0xdafe3300,
+    0x5d450225, 0x41d3b64d, 0x4a870879, 0x0174b485, 0x23fca81e, 0xa0ec1b12, 0x981a0845, 0xb5a615ab,
+    0x05527f60, 0x649e5317, 0x0334a6a2, 0x5706cfed, 0x32d14563, 0x7fbdafcd, 0xd9223609, 0x99574693,
+    0xb4692230, 0x7d203801, 0xeff15240, 0x32295faf, 0xe0ba9858, 0xf9b09880, 0x051c5909, 0xee227286,
+    0x8c0f3fa7, 0x144322f4, 0xd87b09ff, 0x68613f44, 0xde620269, 0x8fea3cb8, 0x51aa2711, 0xf858af82,
+    0x4f4e22b3, 0xd0da402e, 0x625ed112, 0x4f364da1, 0x6edd45fc, 0x7fa0f4d7, 0xe2923da3, 0x5559f724,
+    0xcebda7f4, 0x902a6f10, 0xd917e0e1, 0xe69232ef, 0x13e8c4fb, 0xe798df2b, 0x0ad57f93, 0xe1cf7775,
+    0x11da5b1b, 0x2d846c77, 0xb0df48e7, 0xc8b24393, 0xad6d4441, 0xe1b54862, 0x976ee7a2, 0xc8bcb5d2,
+    0x00000000,
+    0x37f7d186, 0x2b16e495, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0007067388259113537318333190002971674063309935587502475832486424805170479104 */
+  { 0x00000000,
+    0x085e6e48, 0x8d887304, 0xdec679a6, 0x86fdbec9, 0x2a8aefaa, 0xd53ac53b, 0xd7245442, 0xb15c7e5c,
+    0x82784764, 0xc0f866b8, 0x4003a764, 0x0d60cf45, 0xb686465f, 0x7fbce53c, 0x0220b67e, 0x7ff6457b,
+    0x2c92ef09, 0x21c3980e, 0x08c01bd9, 0xbcb0a9ee, 0x858dc0b4, 0xf5047794, 0xbfb8f6b0, 0x3be4b0a1,
+    0x48d78e69, 0xbaaea5e0, 0x559ce4aa, 0x9813f764, 0xa93c974a, 0x465c5f22, 0xa219c5a7, 0x4c900c7f,
+    0x88151224, 0xab9ada7f, 0xd92ea236, 0x20037dbf, 0x27efd02d, 0x44adb4f4, 0x9a7c2e37, 0x9299a43d,
+    0x9049e52d, 0x7a0f897f, 0xff07ee43, 0xd8791cd8, 0x4091ab17, 0x97d33cc0, 0xf2dd2dc2, 0x24c16205,
+    0xaf87f92d, 0x0f4a95a2, 0x0217441b, 0x80954810, 0x35da7a6e, 0x6d4889f4, 0x589e3d63, 0x615f6965,
+    0x218399e0, 0xbd28cf81, 0xaffd393c, 0x2079c57b, 0x8d12899c, 0xbdbdab87, 0xab0cdc88, 0xca7c139d,
+    0x0223108e, 0x732266a7, 0x25dd8cbb, 0x9562e968, 0x1a1d712b, 0x483b037d, 0x24b8e979, 0x77ef12ff,
+    0x8db95e1e, 0x408bbeb7, 0xc310feef, 0x5951ec0d, 0xcc5a5bad, 0x82f721c8, 0xddbdc605, 0x11768003,
+    0x51531c95, 0x2e4171fc, 0x075819ab, 0xa0334a04, 0xab3163e2, 0xfaf90748, 0x5f98d07a, 0x719e302a,
+    0xccec6452, 0xd2ebd1ba, 0x02af6652, 0x98f383fa, 0x95f25860, 0x3ed3deae, 0x09c5b374, 0xdc20aacd,
+    0xc258104d, 0xa0d8cf9c, 0x3e335bc7, 0xb1328d42, 0x1d4814e8, 0x2779149d, 0xefb681ac, 0x92209f26,
+    0xc003e84e, 0x7cb5446f, 0x45e2625d, 0xdc3e1d3e, 0xf18dd78e, 0xd30ee4de, 0xfd4c97d4, 0x950dde41,
+    0x67e63038, 0x01667f96, 0xffbf9788, 0x020a5f13, 0x1d3651e5, 0x7d1d0d0e, 0x7af2a9bb, 0xcbacd531,
+    0x48533a86, 0xd556f33f, 0x5710e579, 0x395d1cbc, 0x22121fd7, 0x99557579, 0x7d4eea1a, 0x33a9b25c,
+    0xf6813f03, 0x4aa150cc, 0xf04375c5, 0xa6608312, 0x717f646a, 0xb38ff2cb, 0xc495acd9, 0xef0340ee,
+    0xc939298b, 0x2c64962f, 0xe0d262ac, 0xa953b6ac, 0xb246128c, 0x1c284f97, 0x0c40feb8, 0xb2c6fda0,
+    0x9d75ef36, 0x873f71ec, 0x924315c2, 0xefdada5f, 0xad58d5f9, 0x058f98ce, 0x1a994204, 0x91875cf9,
+    0x36948f82, 0x2a1887f8, 0x059c3033, 0x8eaa4895, 0x6470d0c2, 0x29d2def8, 0x561cfe97, 0x5a518363,
+    0x59008975, 0x1ff43998, 0x7f721eeb, 0x9d0cd3c4, 0x3e0ddc07, 0x80d8988c, 0xe7cfc8df, 0x49ba6de0,
+    0x3edcf89a, 0x1f0e6f55, 0xe49844f5, 0xfd04f24d, 0x22cc6375, 0x6a2b030f, 0x84066d2e, 0x6378488f,
+    0x1bb97049, 0x28464fd7, 0x3db2d4cd, 0x5e70348a, 0x2e219ffc, 0x934d9cc8, 0x8ef9d54c, 0x5d82d751,
+    0x6bc76876, 0x8b1f8ae1, 0x92bdbfa6, 0xec513294, 0x2af71170, 0x03d44ec6, 0xe8c82d06, 0x10b4fdd9,
+    0xe1820a49, 0x6e4b38e4, 0xc855e2fe, 0x355b9c4f, 0xb354b7b6, 0x95be8b84, 0x710b1e9f, 0x44912b38,
+    0xafb6518f, 0xc407e1c0, 0xee13c160, 0xfc3db6e2, 0x5b95f803, 0xe7ddd23e, 0x29f4a894, 0x7b86eb5f,
+    0x3eabd4c0, 0xc11e7343, 0x3dabb1b2, 0xb4d7e8eb, 0x2f35af3e, 0x9fd250e0, 0x385bdb4c, 0x9acba47e,
+    0x95b4538a, 0xfe655d54, 0xd6addd6e, 0x377b25d2, 0x4b7eb4e9, 0x08f8b652, 0xd537277d, 0x087457d6,
+    0xcfa56da7, 0xffe1eb5f, 0x5ded6387, 0x496f8714, 0x568a705e, 0xe36c476a, 0x0c5516ca, 0x3fc42847,
+    0xcc9fad06, 0xc56c6fda, 0xa72a168c, 0x4cddebcf, 0x0d3265ad, 0x50e1bd8b, 0x91ee6662, 0x17fa3707,
+    0x09bec2db, 0x7e9a7533, 0x44881d23, 0x42c02234, 0x0394cbc9, 0x97c1ee5a, 0x64b120e7, 0x783cb69d,
+    0xfcdb7873, 0x09d6da4b, 0xa2f597b4, 0x1cb42815, 0x97eefcf4, 0x94dcc213, 0xab426b90, 0xef8eea1c,
+    0x6a55bc12, 0xfda12a1d, 0xc4de9538, 0x41199b64, 0x943fb7f3, 0x8afd626f, 0xd22411a5, 0x5a81d1e4,
+    0x13323a2a, 0x87596a14, 0x7bf66512, 0x8ec01fe3, 0x1ed4c480, 0x0aaf8999, 0xbf02146c, 0x41e9b99b,
+    0x7d732799, 0x7bb14718, 0x9fb24421, 0x29a4ef1e, 0xed765e1b, 0x7c6a40f9, 0xa9f4ed77, 0x92a30229,
+    0x4aa12906, 0x2dc5969f, 0x5ba875e8, 0x325393ff, 0x1027c535, 0x0b332b3f, 0x09813924, 0x8fe783dd,
+    0xa98bacfd, 0x1c85f607, 0x7c4c64e9, 0xeb8cf914, 0xb2f52af5, 0x2482da5f, 0xc9daabc2, 0x5ae061ef,
+    0x21059081, 0x21617f0e, 0x1167a4cb, 0xd8155e81, 0x3aad6abc, 0x92aa917b, 0x01294392, 0xfa200b5c,
+    0x34bc3db5, 0xe27d909f, 0x76b831b5, 0xe2414e82, 0x23a153ce, 0x2b5c8528, 0xeb738da5, 0x74ec5f29,
+    0x2ec2ce92, 0x886739df, 0x94e3c397, 0x0627910d, 0xa2ff2743, 0x481813e9, 0xc061055e, 0x6478f6c7,
+    0xf1368c2e, 0x9cd16d0f, 0x0df7d1da, 0x1f11c88b, 0x4e137e8e, 0x7a36c440, 0x292eeb3c, 0xadfc9b5c,
+    0x5d8b70fd, 0x75da7781, 0x169d09c4, 0xe3d32d0e, 0xc5096f6d, 0xfcf44bca, 0x000c3c2b, 0xba6ec12c,
+    0x28c32b25, 0x5795b5f7, 0xc562c417, 0x88e87f27, 0xa433ea53, 0x41491140, 0xb158ecb8, 0x6eb577ec,
+    0x19cdfa82, 0xc46bf234, 0x2dbd6de2, 0x61fd6e9d, 0xaf955a91, 0xae5d7639, 0x359589bf, 0xf08a42a4,
+    0x59b3c506, 0xdaa6fc78, 0x6f61c2d5, 0xdf013ef2, 0x9619e6d9, 0xf0920ba6, 0xd522ba14, 0x33cbabf3,
+    0xee8b2a87, 0x672d9acf, 0x6d1a2824, 0xba93a2b8, 0x7620ad07, 0xe4ab4cb3, 0xcdb9afc7, 0x388c9873,
+    0xc9b79fda, 0x02474220, 0x4a6b5036, 0xac14a1c7, 0xcc690c36, 0xfc69bfe2, 0xb92f6b90, 0xffbb23a7,
+    0x8a095bba, 0xdd05beac, 0x147fea20, 0x51c59044, 0x2c9c86f9, 0x28fd0b51, 0x39f5e0a6, 0xf1641105,
+    0x046d6ede, 0x37bb23d6, 0x98cfebc2, 0x4a7a1c63, 0x6c462757, 0xffdc562c, 0x661d52a4, 0x92994afc,
+    0x4d735f4b, 0x910752c5, 0xb633f14b, 0xf7b25cf7, 0x1ed7a9b2, 0xdb595976, 0x4a1f756b, 0x9f0ff1b7,
+    0xdad93900, 0xc56a5e44, 0xe84cb83f, 0x860c7fc0, 0x6de86f35, 0xb9efd99c, 0x373c9d3a, 0x8734679e,
+    0x96295727, 0x70420d47, 0xb4b73de3, 0x77c62b94, 0x858484ac, 0x495ac96a, 0x86c4bc50, 0x178940ce,
+    0xeb79dfd6, 0x97b192c2, 0xdfb83e17, 0x8e6e20da, 0x69e40c97, 0xc0bc21ef, 0xb9a3577e, 0x2a7e45a2,
+    0x67c41f9a, 0x34ee9d51, 0x04fe581e, 0x9f659ea2, 0x20e9d8a3, 0x31813dd0, 0x95d068eb, 0xe5448756,
+    0xb64fc2ed, 0x8eefa028, 0xd2a72cf6, 0x5fb8c98a, 0xba9755cc, 0x8bc44dac, 0x8e08bccd, 0xaa152b28,
+    0x2d73f496, 0xa774ebd8, 0x40d2016b, 0x2ba4c02a, 0x064f7b33, 0xf69746a1, 0xbaeeb11b, 0x6d6bd160,
+    0xa3699d5a, 0x3df7fbd7, 0xec228240, 0x0b867296, 0xd0c4ba38, 0xea8e5695, 0x6d4cfdde, 0x2fb2b502,
+    0x93ea4349, 0xbd25049b, 0x2462fc77, 0xe6ce7536, 0x4396fc93, 0xc14a96ff, 0xd37cf849, 0xcbd9e519,
+    0x72c9a249, 0x265f1f5e, 0x6fca4f38, 0x9d71d8b8, 0xca29d768, 0xcd4aee26, 0x33374550, 0x13672b89,
+    0xaa4162da, 0x5b63ebee, 0x149e6700, 0x86c83730, 0xdeacb7ad, 0xc49270c1, 0x4e8e05c1, 0xa0960643,
+    0xb688b10d, 0x09c1f072, 0x350e642d, 0x79709971, 0x1bcdc2ae, 0x4fe27527, 0x8ab2b19d, 0x14e41fec,
+    0x7fb61278, 0x417affc8, 0x05f8e571, 0xb81454f2, 0x79c5803d, 0xbfa9717d, 0x2c37781a, 0xeccec2f0,
+    0xa269634e, 0xe880350b, 0x8ccadc9d, 0x98d514ac, 0x546b1220, 0xfdcdf043, 0x7a81c5dc, 0xfd71b0ca,
+    0xc71de944, 0x723d4297, 0x16c127eb, 0x46c7dda8, 0xbcdbae9b, 0x628a4348, 0xadd24c1b, 0x342cd9f4,
+    0x004ffcc0, 0xcc8700d2, 0x70e78843, 0xc634f7f2, 0x1f046366, 0x849a9412, 0x4316d3c5, 0x3f6a0b34,
+    0xece37cf4, 0x925ae1e2, 0xe79c9a95, 0xa9272b34, 0x98490b52, 0x4dfa2e5f, 0x76c9c29e, 0x5f0535f3,
+    0x0ed2b9dc, 0x927a5506, 0x5e5d1807, 0x4eb11fe3, 0x6118aafb, 0x72480352, 0xb516fc8e, 0x3a5b7ee3,
+    0x4817cf0c, 0x14174973, 0x840ffbe5, 0xec8caa40, 0x22f6579b, 0xd1bc031a, 0xf78b5165, 0xec2b8364,
+    0xee8eb7ae, 0x2da70bfd, 0x2f51f19c, 0x083e9374, 0x7ed1efc9, 0x05bbe7be, 0x6247dc66, 0xe25aa267,
+    0x35247046, 0xeb90440a, 0x8dd4aa1c, 0x5a9f2382, 0xf8ec72c2, 0x229ca734, 0x02c3b525, 0x41f03283,
+    0x06ea4885, 0xb7ad4c07, 0xf2abb479, 0x2e17eaac, 0x854fdcf0, 0x61f22f9a, 0x983a2cd4, 0xed6d2ad7,
+    0x9e7aba00, 0xf41d0679, 0x143a6219, 0x9a1deca2, 0xa7341b40, 0x63ed427e, 0x1476dda2, 0x45f1775f,
+    0x18a1dec9, 0x29fab2b7, 0x89fef103, 0x5f6d3308, 0x39f02bcd, 0xcae4d4d3, 0x295d0e15, 0x9f8d8ed6,
+    0x79580988, 0xd6f48008, 0x6095af44, 0x8431eeb9, 0xb4692c31, 0xc857c310, 0x531ea87e, 0xb16bcfcb,
+    0x1bee8065, 0x50bc8a98, 0x15bb371f, 0xa6f28780, 0x6488cda2, 0x913922ed, 0x4a9b26cb, 0x501b4fb8,
+    0x9cd48a0f, 0x61846ad9, 0x35437a7c, 0x4ce594e3, 0x2b873a7e, 0x13d086be, 0xeeae604d, 0x2dd1a115,
+    0xf991d854, 0xdf678900, 0x8d8f9257, 0x3a1ec44f, 0x67cec990, 0x3e70e3e5, 0xd6749cf9, 0xd8eef21e,
+    0xec961b0a, 0xa3689d6f, 0x6de65b48, 0x22d99561, 0xf645193a, 0x667070a3, 0xbdf52192, 0x5ce6fc1a,
+    0x3d49098f, 0xb3b93e3b, 0xa74e6c87, 0x69f1458c, 0xb95d834f, 0x11a10bcd, 0x0a8234e4, 0xeb1c531e,
+    0x4c8ea749, 0xbbc5e3ec, 0x98fccda3, 0x7b6fd2cd, 0xedd94ace, 0x8c130aad, 0x4c986565, 0xa28e932a,
+    0x94c29627, 0xc2eb5c19, 0xf824e5af, 0x848427fa, 0xe107259f, 0xbf95dbb1, 0x2d965756, 0x8f19a00d,
+    0xe630e0de, 0x80a97756, 0x367bc2f2, 0x2a071f6b, 0x814374d5, 0xce99494e, 0x2176e1eb, 0x5aca6f06,
+    0x2793eb37, 0x2c876c29, 0xf4cf9709, 0x85c51c6a, 0xd600eabb, 0xddf55fb1, 0x77031207, 0xacf78ed4,
+    0xa9baa7a6, 0xebc99075, 0x5bac54c9, 0xd3ba0f4c, 0x1603777d, 0x69f4a28c, 0xd426a368, 0x8cab764d,
+    0xa01dd7b9, 0x6eb0799c, 0x05f094bc, 0xaece0b52, 0xf702a6cc, 0x6a1f67e5, 0x14597885, 0x7bd5a2c2,
+    0x6f0d304b, 0x87221e0d, 0xfe6065d0, 0x7f3451c3, 0xc3fb3b66, 0x4925a8c9, 0x2a3e4238, 0x89beb8f3,
+    0x484b554e, 0x9c5519e3, 0xe95e09ea, 0xdf84bc73, 0x422d8fc0, 0x4c7e9791, 0x0bd24a4e, 0x0608048d,
+    0xecb2731e, 0x7fbb6d67, 0x026ff022, 0x65bec614, 0xb39c8ad4, 0x62b634bb, 0x58b10c7c, 0x29376114,
+    0xba7c071e, 0x68ebcf40, 0x7a86f314, 0x799c292d, 0x4d196cc3, 0x21d5a853, 0x98d201b6, 0xf81a1baa,
+    0xd296828d, 0xa103fd49, 0xfe09c7db, 0x1d840b99, 0x65501f26, 0x5264f766, 0x1015566d, 0x2f401d19,
+    0x77f58cf2, 0xceef76d0, 0xde1f247c, 0x149077aa, 0x39ba8d16, 0xd00820de, 0xa6cc4e8e, 0x52fe5302,
+    0x395091b5, 0x27ca2722, 0xb32fa618, 0x5616f1f6, 0xb345f0a4, 0xe58cc284, 0x56e2cc6e, 0xd9566f0e,
+    0xae926905, 0x3daecfb2, 0xea602615, 0x317bdcfa, 0x34a6918f, 0xdf20bdb3, 0x577ec604, 0xe4e016a9,
+    0x0a54dd87, 0x36e2c78e, 0x94d67779, 0xf8475151, 0x3a843fb1, 0xf3319ef5, 0x300d589f, 0xbf34faab,
+    0xe043607d, 0xc24c0ccf, 0xe7e9a9d8, 0xed5d0e5d, 0x70fb40f0, 0x65ac409f, 0x62ee730b, 0xe17828aa,
+    0xf417ed5b, 0x9c4bab97, 0xdd06e224, 0x8dead9a5, 0x03463410, 0xbc5482ea, 0x172ec98c, 0xd41ba821,
+    0xd9e83f5e, 0xac4092c1, 0xd3d4c329, 0x98f913c2, 0x37ee8296, 0xb11ab7cc, 0x842dbd03, 0x91a4a70f,
+    0xbff374aa, 0x2c7949d3, 0xf299b7bb, 0xaa3e640b, 0xb650a0ac, 0x3923fa9f, 0x5e2adddc, 0x9626758b,
+    0x0df772a8, 0x0fcf8547, 0x5349140f, 0x345203fa, 0xc70d1bba, 0x52dbb38b, 0x6027264f, 0xcc8189c4,
+    0xff539b4f, 0xdea6ef4d, 0x6dd4c575, 0x0bce6971, 0x72778a31, 0xa1bfa067, 0xe0a94136, 0x7066f2f9,
+    0x33a0fd70, 0x2713dbdb, 0x4306b87c, 0x89e68635, 0x10604076, 0x06879881, 0xeff9843e, 0xf3f01fb7,
+    0xd4812dd0, 0x533c0d43, 0x192c4dd9, 0x801efdcb, 0x57e9d6c7, 0xc9d423d6, 0x9735ff36, 0xeabc81f9,
+    0x2bc1c860, 0x776a674f, 0x8d4a437d, 0xea47d2ab, 0xe9b3c983, 0x3e69f3f8, 0x9aceee40, 0x20613ada,
+    0x84b9b841, 0xf0a16b31, 0xc81bdc29, 0xcc8aecd3, 0x2d466135, 0x7a3badbf, 0x16b23305, 0x2512e792,
+    0xe661944b, 0x91dd5f54, 0x079a2372, 0x42ffab42, 0xe68cc8c5, 0x0e9e0337, 0x216320f0, 0xc0c7ead5,
+    0x9800f9e7, 0x5b44be40, 0x1b331c90, 0xfb223f1b, 0x2a4a15d7, 0x6aaf6a2d, 0x6115e026, 0xab83e31c,
+    0x2e9302a8, 0xb844c051, 0x7539512f, 0xca0283ed, 0x38dadea0, 0xfce87042, 0xfb616701, 0x5508decc,
+    0xd8e8e47c, 0xce37a51f, 0x04ac3caa, 0x7d0b9d87, 0x59664bd6, 0x67f18fac, 0x5a38ae61, 0x6bdb9137,
+    0xcc45a754, 0xc27f9b6c, 0x912ac2e9, 0x710374c2, 0x087c9881, 0xa24003e4, 0x3295e409, 0x0167e417,
+    0x2e85600b, 0x79bdb2a0, 0xf486bce0, 0x386892de, 0x7ebe2330, 0x9f5b5300, 0x862d5733, 0xfbd19d9c,
+    0x6f054479, 0x8710e0f4, 0x175f318c, 0x14560035, 0x208ba3c9, 0x961745ab, 0x35f063b1, 0x8d380302,
+    0x7bed51fd, 0x504f5581, 0x50971471, 0x1006ce17, 0x1c18d6f1, 0xd67a6068, 0xd8506e83, 0xcc14fff8,
+    0x1492d26c, 0x156d57a2, 0x69f6a458, 0x848ba992, 0x79e0a054, 0x6094b4c1, 0x37b3ad2d, 0x662d0d4b,
+    0xc3ed9ab7, 0x25dd1b31, 0xc57490d6, 0xc854703c, 0xae8f8c87, 0xd7055701, 0x4304edfe, 0x45449580,
+    0x8d354d7c, 0x2533bf68, 0x08d8dbad, 0x23590a10, 0x9244b3b3, 0xf0d2fcfd, 0x190a79a1, 0x7b19caaa,
+    0x76df889a, 0x4859c512, 0x59b41fb8, 0xdbc42909, 0x069f5d5a, 0x8240f032, 0x1dffe90a, 0xce399f38,
+    0xab3cd789, 0xc90b1b76, 0x52df07ef, 0x15ff9222, 0x8c2811fd, 0x8d8ecc96, 0xd3c1b5fd, 0x7c039cf4,
+    0xae769227, 0x158a99b6, 0x544b8822, 0x50e7651a, 0x260ea62e, 0xf71dc739, 0x23ac4d61, 0x6574d7c7,
+    0xe2ce630d, 0x7a43e72a, 0x4fd9ea9b, 0xb4fc2eda, 0xe9bd8582, 0x4d3a3141, 0x5a8bfd43, 0xf4e2ab1d,
+    0x88e04249, 0x9f2f2bd0, 0x5a50e056, 0xa19e32ac, 0xbde38d95, 0xfdbe993a, 0x7c854adf, 0x93170232,
+    0xd4cdb6d9, 0x98a46d32, 0x4e198585, 0xada927b2, 0x651b1e07, 0xd3521eec, 0x076c4f6b, 0x0f68dc94,
+    0xab80debc, 0xd42fbb0c, 0xf0ef9565, 0x98d90ccd, 0x7cd98bd9, 0x2d296088, 0x43ed80b6, 0x16f767a4,
+    0x9f0addd5, 0xd007075a, 0x11f83459, 0x1ae42414, 0x59f50a1e, 0xf797d5df, 0x72b69926, 0x625bb29f,
+    0xbee9712d, 0xd5995979, 0x5e9c2601, 0x64dcb0a5, 0x3a3edb33, 0x81c790b0, 0x632b7070, 0x4c20a8b4,
+    0x27d79079, 0xe2383f29, 0xbd5846d3, 0xfb54e49b, 0x3d843f52, 0xb1ba0753, 0x6b0b8481, 0x35284f69,
+    0xa4f0f96e, 0x6ecce8e1, 0xbd2245c2, 0x2a9b4649, 0xbc635a58, 0xc8a6eb9e, 0x0d72581c, 0xe2b0d708,
+    0x00000000,
+    0x9bfbe8c2, 0x958b724a, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0003533694129556768659166595001485837031654967793751237916243212402585239552 */
+  { 0x00000000,
+    0x96bc8e78, 0x6d3cc8c5, 0xc71a763a, 0x44515823, 0x7c6ee1cc, 0x6812ab7c, 0x4a8fc0d8, 0x4f0431cb,
+    0x6908bf46, 0xc21076c5, 0x31bfae04, 0x6dfef513, 0xe31bd601, 0x3abbf250, 0x3a5e6e23, 0x51fa3722,
+    0xdfb685d8, 0x9a4edf5f, 0x332690d0, 0xfcda7f80, 0xdcc6f255, 0x6a875027, 0x2ef0c9f9, 0x2c902bb1,
+    0x33d60f95, 0x2b997ae8, 0xd2623180, 0xd6384a2a, 0xe74f71c9, 0xa5188218, 0xda0df675, 0x8cc37128,
+    0xc0159499, 0x0262c4f9, 0xa526d8e2, 0xdf01247b, 0x29dde094, 0xa42f0b40, 0x8a487f4a, 0x8c75821c,
+    0x201a62a5, 0xd8245200, 0x6ef068f6, 0xfa6d0142, 0x63dbbba8, 0x724f50b9, 0x5ec6e75b, 0x00e13967,
+    0x2c6792b7, 0xcd9f71c6, 0x162aa2c3, 0x43eec95c, 0x0b182079, 0xc5546cc4, 0xaa8b0588, 0x802580f9,
+    0xf2646c08, 0x73140e44, 0x1740c558, 0xcca05528, 0x08d70cc2, 0x810322a9, 0xd4b67d66, 0x757fba6d,
+    0xe41ea485, 0xd8654fed, 0x64e69eab, 0x19b08cbc, 0xde975e4f, 0xf5fdf623, 0x9de347d1, 0x9a528851,
+    0xf8a98cfe, 0x46a95ff0, 0xb2687c4e, 0xa489c900, 0xd510d315, 0xfc1a16fd, 0xd28d3a44, 0x7b7ee5c2,
+    0x4de16e8f, 0x04ede333, 0x6dec7cde, 0xaef9a0af, 0x8146016e, 0x97cf711a, 0x07577724, 0x52a6e532,
+    0x7c2f95ba, 0xc5900121, 0x5dae8722, 0xc3d83370, 0x32fe1ae3, 0x5da25d4c, 0x7a8646c6, 0x4c0c7894,
+    0x21e0bb40, 0x0d9f49d7, 0x208f9d4c, 0x3f414e8b, 0x76d364ab, 0x717f299e, 0xec286ca9, 0xee91828d,
+    0xb8965992, 0x8a9bd0d1, 0x1a8ed4fd, 0x1fa06d56, 0x91265231, 0x7a2ed834, 0x7e75b868, 0x3cb0822a,
+    0xef20469f, 0xb53e8f6d, 0x43b55104, 0x27273fec, 0xf920fc29, 0xca959f30, 0x2f7cac65, 0xe447e567,
+    0x5e21569e, 0xc9513d4d, 0x988595db, 0x735d8e27, 0x506c52b1, 0xbe8860db, 0x475967b9, 0x3b36d958,
+    0x9e31b820, 0xb0f2341f, 0x37ee1da0, 0x52dd9be0, 0x353440f0, 0xb42adc9c, 0xc29e601c, 0x5c4168c7,
+    0x7639bc1c, 0x60c13e3c, 0x09ebc54c, 0xb2f1c85a, 0x03709302, 0x12849390, 0x54d246eb, 0x38054491,
+    0x2ad0bca2, 0x98d5c021, 0xb6e8ac95, 0xa1770588, 0x8b6f3a18, 0x2eb75d34, 0x74cf1eaf, 0xcf3144ac,
+    0xb9490ab0, 0x28547474, 0x330a92ac, 0x00a628e2, 0x5f3c865e, 0x996a8d5d, 0x47513c6f, 0xade693ba,
+    0xc3961a46, 0x6229756c, 0x30e1b3dc, 0x865f395f, 0x497818c3, 0x87722234, 0x18020c3d, 0xbbbb9b2a,
+    0xa3f975ce, 0xb609f4c9, 0x632c3b6f, 0x2b54c2fb, 0x2bdc9695, 0x7caff7fe, 0x5028520a, 0xfdb15e0b,
+    0x7e9cd0f8, 0x112579f6, 0x8ca6cd46, 0x5a1c3425, 0xcdf2560a, 0xe8ca6a0c, 0xb331b3a5, 0x783749a7,
+    0xc9a8add4, 0x3e6686b3, 0xa5de36ec, 0x7df3096a, 0x50bb34ef, 0x6e721cb6, 0x2dbc46da, 0x3ac3b563,
+    0xb322786c, 0xc037a2c5, 0x9daf500b, 0x6865e7b5, 0x68e9b6af, 0x6c096557, 0x59243c93, 0x1207a478,
+    0x179ddcc8, 0xdf8fbd44, 0xc613f1b0, 0x96bd2758, 0x55c44261, 0x384ce75b, 0x51e86955, 0x767aecef,
+    0x37653d6c, 0x0f6a39eb, 0x0fd74eb3, 0xfc9a841b, 0xef991078, 0x96462685, 0x90ad901d, 0x709abf9c,
+    0xf13ee80f, 0x88112260, 0x09cbe6be, 0x68de47f3, 0x8c6daee8, 0x00b8e0c4, 0x45db0d62, 0xf0b224e7,
+    0xf1a5e4e4, 0xc20a19dd, 0x0d8dbe5c, 0x86bfbb82, 0xa7d93a49, 0xa04cf350, 0xba637371, 0x550d5612,
+    0x096553a2, 0x52c1efe9, 0xb711d514, 0xe4fb3426, 0x255ebf2d, 0xade9cbc3, 0xb111864c, 0x18ba48fe,
+    0xdbeca7ab, 0x98a64ba8, 0xf9587cfa, 0xab5dce97, 0xb5db08b4, 0x74e32f61, 0x76fdff99, 0x9e467bf1,
+    0x96735a24, 0x65bbf9be, 0x7f408650, 0x37376919, 0xe5c1f294, 0xaca84019, 0xa77f0a8d, 0x320622a2,
+    0x15e26612, 0xa3f584d3, 0xece74575, 0x605e6fba, 0xe0cc75f4, 0x2108b115, 0xd3f433df, 0xbbe4a51b,
+    0x619620d0, 0xea7c7c9c, 0x34abab6e, 0xbb7ef2db, 0xe0ded999, 0xdc51aac5, 0x7ca3b466, 0x77c718c6,
+    0x102f4ce8, 0xa1b1a52f, 0x00a678b7, 0x58fd7dc7, 0xaec89d22, 0x2947479b, 0x4bafc44d, 0x6b8888d6,
+    0x9ec4d948, 0x15002386, 0xd7a06aea, 0xc83c045f, 0x33e658aa, 0x7f152d95, 0x90ae93f4, 0xc6453a63,
+    0x68971078, 0x8724676b, 0x844cabb9, 0xd948ce51, 0x9173deaa, 0x7ad0ec83, 0x9169f860, 0xf7efa5a1,
+    0xefcd2884, 0xc20a0fe3, 0x8878ac8f, 0x40bb0757, 0xba9accf9, 0xfc27c2a3, 0xcf41dbf8, 0x59a52d8b,
+    0xbee7b1c9, 0x5d2fcb6c, 0xf87204a2, 0x18c501d3, 0xe077ab95, 0x211e05bf, 0x0542df7d, 0xc49d0e44,
+    0x2fbab5d2, 0x0ec2f9f2, 0x3fc2667a, 0x1527e123, 0x9971288e, 0x4abd654f, 0x7821cd66, 0x1632ffd9,
+    0x5025173b, 0xcbe3b13b, 0xd1dc17ce, 0x14609bbb, 0xd61d8959, 0x4f6b0902, 0x1d69c1bc, 0x68c5db14,
+    0xcdfe634f, 0x5a0e4fd0, 0xea718083, 0x41438ab8, 0xc6a06947, 0x40947e8c, 0x9873ee5e, 0x43a08e80,
+    0x7ef429c0, 0xa337605d, 0xe0956fcd, 0x011c744b, 0x12e6334e, 0xa10bf7f8, 0xfa0efa82, 0xb3df23b4,
+    0x8b2ce55e, 0xdfaec550, 0x1f4c8d55, 0x049568d3, 0xac9904ad, 0xffce9194, 0x8eb4aacd, 0xd5b66a45,
+    0x28b9c5dc, 0x4c2c3134, 0x13a851f1, 0x0aaa8957, 0xe833fc17, 0x3c8c0b07, 0x58135135, 0x8c69eeaa,
+    0xdf72a91f, 0x9d939876, 0xab2b0ea3, 0xecf204f0, 0xb11cbb41, 0xe1cda6b6, 0x37d6d259, 0xbab82d9d,
+    0x8820b035, 0x6dfdb7ab, 0xdc82bbb5, 0xd16ed3cd, 0xd06ab6f3, 0x2445190c, 0xc58e651e, 0x02b6c861,
+    0x057675e9, 0xd1a535ff, 0x2c6a0cd3, 0x61bfa8f6, 0x7a8d7a31, 0x1e506e67, 0x4315703e, 0x95b80718,
+    0x4d19269a, 0x0023f31b, 0xe7f7ae71, 0x2fb29b6c, 0x57de3335, 0x1e29eb44, 0x17f5dae8, 0xd1274379,
+    0x54b01a85, 0xed59269f, 0x5e83bb5e, 0xd4a37791, 0xe777c11d, 0xe78a0657, 0xd7dab235, 0x6cb2ac77,
+    0x9c9bea9a, 0x74e06acf, 0xd1148a1f, 0x3e0eba39, 0x2027e264, 0x61a92787, 0x87e03044, 0xd120d725,
+    0x751f5f18, 0xb6b5829b, 0xfcf7afef, 0x7a728dde, 0x1b562a53, 0x5d588a5a, 0x934164d7, 0x834a4b05,
+    0xa84b09f7, 0x360abe29, 0x2749c6a4, 0xae4989b8, 0x93ce9805, 0xf8d29618, 0x67ad3e26, 0x65d1d915,
+    0x8eefc42d, 0xeff81f34, 0x8dda7510, 0x1776d1a1, 0xfaae0357, 0xd2ff646f, 0xd0ef146d, 0x425cf6b6,
+    0xb534b72d, 0x127967b9, 0xb4442bd3, 0x79094e83, 0x3bff524f, 0xd1d2a30c, 0x218a94af, 0xc9ffdcd5,
+    0xc686c726, 0xa6f734b4, 0xbdd5b65f, 0x9c983910, 0xa9fd4519, 0x59865c98, 0xf46a0446, 0x5ab67861,
+    0x04a33494, 0x183450a8, 0x24c42f55, 0xb6610300, 0x351c45fc, 0x684aafa8, 0x5cc1756a, 0x72b02a2e,
+    0x677aa0d5, 0x169ec233, 0xab201a8a, 0xa97836a1, 0x09033379, 0xb9301120, 0xadede53b, 0x07feaf8c,
+    0xd111e01f, 0xac0df3d0, 0xd09f6917, 0xdc71168e, 0xa5c12bbd, 0xa784c6e6, 0xb71433c6, 0xcc15f62e,
+    0xa1ac04a1, 0x9afa2e93, 0xe57c9dff, 0xacf17fdf, 0x9fb9a480, 0x54e5e45a, 0xa4b08e7a, 0xa8b6ce64,
+    0x1cca9291, 0x1e1b000d, 0x849f70f4, 0xef5c8ed9, 0xab998d40, 0x793faa68, 0x44480ce5, 0x68b02247,
+    0xbac1b03d, 0xecd18cb2, 0x2fa24bc9, 0xb718aafe, 0x5e993471, 0x4311c465, 0x953dc644, 0xd44d8e5b,
+    0xa9f96024, 0x5a7ccbee, 0x507d3c11, 0xf2770d26, 0x83608df0, 0x05fe59fa, 0xf0c3a8ed, 0x2563ec79,
+    0x10b98c1d, 0x23cdf313, 0x6f074a87, 0x27bb70c6, 0xb704467b, 0xe2b2d7bf, 0x58eec5d1, 0x5eae8660,
+    0x0a584918, 0x2ca4b072, 0x89dea3cb, 0x4b1e4b83, 0xae8fec95, 0x1b6c6329, 0xa0efadf6, 0x8d437a66,
+    0x3b3e94ea, 0xa9557f9c, 0x2fb3d00b, 0x2ca8dcb0, 0xa6ff871f, 0x987b9dee, 0x365061b1, 0xdfc246cd,
+    0xc5c4c3e2, 0x1180113d, 0x474466cd, 0xd51afda6, 0xe3138332, 0xa6948001, 0xbbf6af80, 0x696c9977,
+    0xda663b36, 0x92b70c85, 0x8e99a3da, 0xa79a9a3f, 0x31269530, 0x629fef93, 0xd2a6db79, 0x18a289cd,
+    0xbd3af376, 0xa1cfa526, 0x29474334, 0x355cd5ba, 0x293cd1d9, 0x5c1d00ce, 0x5ca20cd1, 0x6e8d4225,
+    0x7ffa4793, 0x043b2904, 0x2334770a, 0x23b3a5dc, 0xecaa3ca9, 0xd2d41fb4, 0xeaab24e1, 0xbc8ef306,
+    0x020a53e7, 0x4df2924e, 0x8d89fda3, 0x00b1086d, 0xe95d7e47, 0x97e99b18, 0xc29df9ad, 0x3fe525db,
+    0xe452ccfd, 0x232b2c10, 0x39fd2300, 0xcef538d4, 0xd3d3aafd, 0xb37e5d1e, 0x39c6d366, 0x01faabb5,
+    0xfeff4605, 0xb12edc92, 0x970da7a2, 0x5a213ea2, 0xd7a18cfb, 0xe65fe110, 0xdb2cab67, 0xad6f6f68,
+    0x75786c23, 0x25456016, 0x0302ec9a, 0x46913547, 0xdb86504c, 0xfab3daec, 0x50b5894e, 0x2666b31a,
+    0xa7675ebd, 0x739c9b64, 0x18de736d, 0x4889e8a9, 0x07aa4daf, 0x0ae341cc, 0x407f3c18, 0x1e941319,
+    0x0fcc70df, 0xde6a97c1, 0xa390fbeb, 0xcbe1c6c9, 0xa060ac90, 0xba97ecaa, 0x798c114c, 0xb1483e06,
+    0x2a8e44a1, 0x39c7683a, 0xad1edb25, 0x13568d8b, 0x93a3a3f3, 0x2788cb07, 0x2a24b33a, 0x32bc67cd,
+    0x0dfb95bc, 0xb0948572, 0xea80d8bc, 0x9755c02a, 0x030b0c00, 0xb1ea93c0, 0xc32fb5dc, 0xb18558dc,
+    0xc8494f34, 0xb18f6728, 0x8dac3f7a, 0xd5d4c046, 0xd6fe9c8b, 0xd6ac0bae, 0xb07b083d, 0x18fcf1b0,
+    0x51eb3352, 0x8f4d30c3, 0x230c01cc, 0x45c202a5, 0x7a0db339, 0x6141188a, 0x3ce6fa73, 0xbc312ba9,
+    0x652cc324, 0x6d93e597, 0xb6cec475, 0x8c92b279, 0xb1516e90, 0x91dea33a, 0x080914cf, 0xcc677d34,
+    0x8bc1a850, 0x0c1147c8, 0xffe69366, 0xe209d893, 0x75aad490, 0x29a564f1, 0x070d7890, 0xec127f60,
+    0xaf533fc8, 0x038da2d5, 0xe4f057d0, 0xf231cbdf, 0x41c23375, 0x015c98c2, 0xdedc4d07, 0xc0fe43c1,
+    0xfcfd91ba, 0x714d9208, 0xc43f8320, 0xdc994003, 0xf56821d4, 0x76930cd6, 0xe026881b, 0xaf6e5bde,
+    0x24ee506d, 0x068b3e74, 0x95c55330, 0x8d48f37d, 0xbbbba14a, 0xa949c4de, 0x3afc95bf, 0x5f7b070f,
+    0x979879a1, 0xbd27435f, 0x07b5526a, 0x7834b588, 0x6f2d6342, 0x5f7e63e8, 0xaf192284, 0xde065bc3,
+    0x23617262, 0xd479162c, 0x766f1b87, 0xf7b9d1d1, 0xa035dedc, 0xb40e5545, 0xa2f60bd7, 0x4594b428,
+    0x2d628936, 0x3e933405, 0x92901603, 0xd6d9a555, 0xa1f3b542, 0x3ea60ab0, 0x02be0d59, 0x7f158618,
+    0xfe5ba753, 0x71187043, 0x90bbbe3e, 0x2ffea5d0, 0x8e457130, 0xd180f895, 0xfe0aff48, 0xc004ec5f,
+    0x638142da, 0xeba749d4, 0xe4042408, 0x27db0205, 0xdf46af57, 0x4c571c33, 0x41bbfaf5, 0x0225585a,
+    0xe751972a, 0x2c967d1c, 0x16d5fb15, 0x6438a05d, 0xc77c2435, 0x8e88997d, 0x6c9f24e8, 0x26b94f31,
+    0x7e6bf652, 0x9936e2f0, 0x86e2acc4, 0x631f1719, 0xbbaf5477, 0x7583df56, 0x4cfdffb4, 0xba9590a2,
+    0x8e537495, 0x7536b4bb, 0x629e1bb7, 0x1a09d90e, 0xd6ec41f8, 0x6e2987e3, 0x72ae5ae4, 0x514cb3c1,
+    0x0bb06dd5, 0x5c36e70a, 0x26733dd7, 0x68b70455, 0x947a5267, 0xb21accb5, 0x6e1f0d29, 0x96b384ca,
+    0x7a2756f8, 0xea6305ec, 0x589e70a3, 0xdddd2998, 0x67f40bbd, 0xbdae239e, 0xd196c5ac, 0xfd3e398b,
+    0x8c19fd0a, 0xd5da14cb, 0x15ae59d3, 0xf1896c19, 0xeebd9afb, 0x4e15c57c, 0x9c1ef3b4, 0xc4284c26,
+    0xf15f415c, 0x99c31384, 0x447ac471, 0xba9b84e6, 0xdbda7f30, 0x655174ca, 0xb1712e85, 0x0e436197,
+    0x8e06792d, 0x39bc017d, 0x1c91d321, 0x1271f43b, 0xb2c71d54, 0x5eed6e37, 0xf3796094, 0x7c1d3bc7,
+    0xc43cbc38, 0x7f362f92, 0x85f248c5, 0x8394488c, 0x53f4cc32, 0x61c6041b, 0xd56e0872, 0x5db4da1b,
+    0x62ef8c11, 0x3dfefcfa, 0xdc517c80, 0x61c4d196, 0x33706395, 0x94217168, 0xafd8bf9b, 0x6237c4e9,
+    0x79107c91, 0xa21bdf81, 0x6760f699, 0xb6efb291, 0xd4543f7f, 0x93d0303f, 0x10ee0ac9, 0xc7b07fd8,
+    0x5e0faac5, 0xcb7a22e4, 0xbfcdb704, 0x8668488f, 0xe8fffed4, 0x1747fa77, 0x472ef2eb, 0x6c4a9e52,
+    0x23abaf43, 0xd104eade, 0x486e0fe3, 0x16460c04, 0xda65e77c, 0xa80e4a13, 0x93228b2f, 0x0055b09a,
+    0xcab4d40d, 0x0fe5c0cc, 0x601caeda, 0xb5dccbe0, 0x09a1dc9c, 0xc1e38af3, 0x1e7e874e, 0x8f4929b3,
+    0x27481f24, 0xeb169300, 0xb300070a, 0xa059b3bb, 0x002d0549, 0x81cebc9e, 0xeeef4464, 0x480e2124,
+    0x2d743e43, 0xf55a4fd1, 0x1385f43b, 0x526df815, 0xf6173db2, 0xb66998af, 0xd1b1e649, 0x42eb77d0,
+    0xd0a2f516, 0x1ffd65af, 0xfe11c644, 0xe669cf25, 0x15844376, 0xbf2446d8, 0xd4600b9b, 0xf8b9db80,
+    0x87bc1601, 0xea2d10a3, 0xfb1fcea7, 0x2be96351, 0xb874cb35, 0x45955b7b, 0x0bb6fba7, 0xcb0893a3,
+    0x698b0dca, 0xe2a5a19d, 0x4ace3abb, 0x9c4e624a, 0x36261867, 0xfc225ab4, 0x3269351b, 0x27a57eb9,
+    0x043d6239, 0x10c80bcf, 0x7aaae1b0, 0x8242a5f4, 0xd821eb1f, 0x1a442eff, 0x7d02d7d0, 0xa210bf2a,
+    0xba31a185, 0xe08c4592, 0x7db31a8e, 0xb08b1214, 0xf828a864, 0x08eb7eca, 0x6edd524d, 0x32ae3fc0,
+    0x77e3ed68, 0xca3d0ea6, 0x32985581, 0xf06ab435, 0xd7a2037d, 0x14b77c51, 0x8c2ff046, 0x4065c288,
+    0x9d4c1fa3, 0x39b3e19b, 0xbd3b9e52, 0x35a03ae8, 0x504caf77, 0xcb09ffd5, 0x0a9e8618, 0x5fe58dc1,
+    0x63757c11, 0x3e6f285a, 0xbdcb1fcf, 0x5d95da07, 0x098b608b, 0x2881d1d7, 0xbe324d86, 0xaffd2ca8,
+    0xb5f5cbc5, 0xdee46ba1, 0xb46374ea, 0x4154c81b, 0x657b1f33, 0x16b970a9, 0x1750e2fb, 0x4ed264e4,
+    0xf8761ee0, 0xf9d2f758, 0x586f41f9, 0x8fd94de5, 0x5b89bceb, 0xe9934047, 0x2ddcc9f7, 0xc7563cf3,
+    0xa58e0a19, 0xe930b230, 0x542afa86, 0x8f19368a, 0x87b12bc7, 0xd0fbc137, 0x8bf10199, 0x70ec81b5,
+    0xa1795ba9, 0x47180ab9, 0x34dd7fe1, 0xf6c814d5, 0x185aae5a, 0x682c293d, 0x002fd550, 0xd5402d17,
+    0x4bd310ec, 0x7b4e596d, 0x51175c10, 0xe76f5d9c, 0x2ac2367e, 0x9393c11f, 0xfd895769, 0x5c150283,
+    0x520fa164, 0xaad914a2, 0x2784b3a9, 0xe1137e7e, 0x62023f86, 0x04402075, 0x6f2862e1, 0x6fbb7f60,
+    0x4bc272d6, 0xc51d8a63, 0x542d8e0c, 0xbad4434c, 0x835414ef, 0x0963ad4c, 0xff36b48e, 0x558d9786,
+    0xbc30108e, 0xac3fafcd, 0xb84f808a, 0x01777322, 0x1c34e471, 0x18a80d7a, 0x361d941b, 0x8b6616a1,
+    0x8801dca5, 0x3d5762e6, 0x3f13d0b4, 0x6ac25bca, 0x6149583d, 0x49d91e0a, 0x96419894, 0x19585432,
+    0x38eba2f6, 0x7ecded11, 0xa61b9426, 0xfbc9ca48, 0xda989c34, 0x178ef17a, 0x7eea7c74, 0xd49f1121,
+    0xbb720040, 0xff10c312, 0x5b8f1a08, 0x256dfc4a, 0x4b921daa, 0x31a108bb, 0x9ad51d31, 0x66d90081,
+    0x02027824, 0x0b0f2523, 0x0da428ad, 0xec89594c, 0x1d4a2826, 0x9cf6a62a, 0xe566ea39, 0xf0e66a79,
+    0x00000000,
+    0x4dfdf460, 0x4ac5b925, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0001766847064778384329583297500742918515827483896875618958121606201292619776 */
+  { 0x00000000,
+    0x629a6d0a, 0x8ae13292, 0x285dbb5f, 0xcf29888f, 0x3bb68b38, 0x893c743a, 0xc446b35a, 0x9fd2351a,
+    0x6e195a71, 0xd0b24a4c, 0xf728a6b8, 0xb8b603e4, 0x64db7f8a, 0x8124654f, 0x21c89224, 0x47ea528b,
+    0xd656aa41, 0x51b9efd8, 0x02626c65, 0xf30bc7a0, 0x14fa13f6, 0xd1b644c7, 0xa5a8b723, 0x72278226,
+    0x7fa31aa7, 0x3db8a0a8, 0xd10ea0c5, 0xfdf7937b, 0x7c2df795, 0x4ea2cd8f, 0xb6bf0ddc, 0x78fb5e2e,
+    0x2611805d, 0xeab6429b, 0x9e9c7b54, 0x4bbc202e, 0x9c2a67b4, 0xff098165, 0xb493dc0e, 0x3151b3e3,
+    0x8dce534e, 0xc626cbfb, 0x380d7d89, 0xfd68997a, 0x08d91a5e, 0xe84e2f7e, 0xeca9050a, 0x960f1772,
+    0x389260fa, 0x4d1fc49f, 0x7189c989, 0xbc876d38, 0xaf346454, 0xdd4a830f, 0x767a4b86, 0xac61792a,
+    0x27d8713c, 0x966a8b9f, 0x624b4c4a, 0xd224a9a0, 0xb4cbb2b8, 0x9348b361, 0x883d940d, 0xbe92df6e,
+    0x9a8af474, 0xbe44e37f, 0x814c8227, 0x5fdbc333, 0x9847805c, 0x2b359c0d, 0xcdd9572d, 0x5225a10e,
+    0x1854a7f9, 0x5c5a4920, 0xe6ea5623, 0xdee145ad, 0x3493e269, 0xc8e663f8, 0x4d771435, 0x7a1586d1,
+    0xc01a4175, 0xe036c0dd, 0x297a8889, 0xe579b2e4, 0xae1c5cc9, 0x9e4fd5da, 0x149461a2, 0xa2a1dddb,
+    0xcfd2d101, 0xbd1d7094, 0xab98390f, 0x7d16e964, 0xbd276517, 0x59b85e0f, 0xa9f8c8f6, 0x3104673d,
+    0x0246a1f8, 0xeda7084c, 0xe963c2fa, 0x4c5cf3c9, 0x0307f8c4, 0xedf9cf71, 0x54788c6c, 0x709e3bf3,
+    0xe4de964f, 0x9c89156c, 0xdb4f546b, 0xd809feb0, 0x93a5ebeb, 0x6a88b518, 0x231cc0fb, 0x53accafc,
+    0xc051ada7, 0xb9bd1374, 0x08e74e91, 0x0cba12d3, 0xba273547, 0x4c24e05f, 0x6a08273e, 0x1c95a59f,
+    0x2a95f540, 0xc3334e74, 0xac627864, 0xf86eadd5, 0xf95f0e1b, 0x37cadc5c, 0xab21495b, 0x843e04f3,
+    0x7b8c3e2f, 0xb3fd77cf, 0x130a1555, 0xc3f79a90, 0x76b3110f, 0x344e7374, 0xc8ed9211, 0xfaa276ac,
+    0x1985f78d, 0x8ffcda17, 0x68614ad2, 0x597cf039, 0xe0677614, 0x692525fc, 0x0a5c0e0f, 0x53837db1,
+    0x05bba13f, 0x9d2ac4cc, 0xcce1f171, 0xb6af5bd2, 0xedb2a6c2, 0x09b26949, 0x0ceb2b8f, 0x009001c6,
+    0xb0ef0383, 0xaac150f7, 0x8f39d50a, 0x8dc1b5e1, 0x2ba38281, 0x5225fe76, 0x8e5b44a1, 0x41394d25,
+    0xdff7fad5, 0x2c7a9f10, 0xb425da9d, 0xd8718267, 0xd54adef0, 0x3e00016c, 0x51289356, 0x608fe012,
+    0x78e0954b, 0x73fe3271, 0xa92ff99f, 0x81800ddd, 0x4abab5a3, 0x8381d378, 0xf90221e6, 0x2e5b1ef5,
+    0x3ee13d01, 0xb4593445, 0x7dfae343, 0x8e6f3c9d, 0x1ff9530c, 0x6e14d90e, 0x200f727f, 0x24e1daad,
+    0xc600f9eb, 0xe92a8e53, 0xbf11b0cf, 0xa0b6beba, 0xbdd0ad67, 0x000a0f5d, 0x6d4808ff, 0xdeab90b9,
+    0x87f67e7d, 0xeea3b6d6, 0xdc2763df, 0x4efbcec6, 0x48a0b369, 0x8c5268be, 0xa8af5eef, 0xf3cd97d8,
+    0x13dd6977, 0xf63db277, 0x6f03772b, 0x5b96548c, 0x0ee22b86, 0x24ddb631, 0x2d17a1d8, 0xd6fd1959,
+    0x25a9954e, 0x7be581cd, 0x0201bef1, 0x95c2f7df, 0xb6deb496, 0x5547632b, 0x3728842f, 0x464019c9,
+    0xf64e65f5, 0xbb51c40a, 0x94a1c80e, 0x922681d5, 0x0805bc27, 0xa33e75df, 0x625e0878, 0x72d37c17,
+    0xb2889e3e, 0x2da44846, 0x848c6223, 0x22471069, 0x0e11bb85, 0x0c5c0787, 0x65658c70, 0x0626696e,
+    0x7eb59fb7, 0x4b22667c, 0x5d53ca07, 0xe69f8b29, 0x96a25ae7, 0xc8038be8, 0x729ccc81, 0x25c446e5,
+    0xff14983d, 0x5a2ec88f, 0xbb16129a, 0x9efddf0e, 0x9b7ff31c, 0xf4bb0bba, 0xba52f312, 0x168f879a,
+    0xe5ef8c6f, 0xf86af33a, 0xa31339e8, 0x9f7ce97a, 0x7991c8be, 0x0961ef06, 0xad840a29, 0x26c1cd5f,
+    0xd5b8a7ac, 0xc3ed3ca7, 0x066c9020, 0x9a0178e8, 0xcaa769ad, 0xea4aac0f, 0x89519e00, 0xb8bd1fae,
+    0xbd63dcdf, 0x8e14bf53, 0x3b778277, 0x793366f1, 0xc8e9790e, 0x18c0fe1f, 0x394f7fba, 0xe84f7f5f,
+    0xe16d7bea, 0xce0114d1, 0xe9d1710a, 0xb22304ae, 0xc1629c36, 0x564e31b8, 0xb012cf4a, 0x21f48b48,
+    0x91df0cf1, 0x7db8c6ff, 0x26608faf, 0xef742e54, 0xbc28e760, 0x4cd84450, 0x4c188454, 0xa3fe11cb,
+    0xb2dd1348, 0x518d27bb, 0xc60c1eba, 0xe3761c63, 0x85d86db5, 0x12758e8f, 0x0f715b37, 0xfddd3fba,
+    0x5eb444e0, 0x349ec5b3, 0xcf8c89b2, 0xebe83377, 0xa43adc3a, 0xa50463d0, 0xc68fe479, 0x6328fea8,
+    0x0f1a28e7, 0x4376add2, 0xc55fef53, 0x8e6f3d8d, 0x70e927f3, 0x8aa16e80, 0xc32f06e9, 0x32a31be7,
+    0xbc0fd15d, 0xce92d978, 0x35a8a2d5, 0xafd316dc, 0xd2b903c8, 0xdf151219, 0xd0e77393, 0x6c3b0357,
+    0xe5ac86e4, 0x7f22c0bd, 0x0fe48fb8, 0x16a3665a, 0xd74b950f, 0x38dc7541, 0x04bb64e5, 0xf76e7ea0,
+    0xed0392d9, 0xa0a6eb22, 0xfbe6c6e5, 0x882ce478, 0xd0892a0c, 0x0b7bf951, 0x0fff7c79, 0x1c33ea07,
+    0x7445aa6f, 0x7a01c4d8, 0x0425748c, 0x91d97cc2, 0x21a4b4c0, 0x8f2ef3a3, 0x79178637, 0x0c8d279d,
+    0x00dd72ea, 0x1f882e4f, 0xbf9c576d, 0x3e40dde3, 0x95c152ee, 0xbb013f68, 0xa7b833ae, 0x95eb035d,
+    0x50d9bd55, 0xbe638314, 0xfdd6224f, 0x1f07e528, 0x823687ee, 0x8b989e7f, 0xef7d5958, 0x7c23077c,
+    0xba5206cc, 0xd61897e9, 0xb3838c7d, 0xdacb6773, 0xd4854956, 0x2f7db7bb, 0x4a18298d, 0x7b860bed,
+    0xe98064fb, 0x32cf7f52, 0x72f5a0f4, 0x8a21e475, 0x4d58d35e, 0x6d65cd5a, 0xe9d77d78, 0xe529a0bc,
+    0xada7a128, 0x5dd94138, 0x10ce74ee, 0xdd2612da, 0x1e1baf17, 0xdc499445, 0x2dce3f11, 0xe19fc2ea,
+    0x35bfb0fa, 0x959f0389, 0x5a29bb92, 0x87433915, 0x27b04bc1, 0x6134e8a1, 0xe366baa3, 0x711e1099,
+    0xf4c9cc3c, 0x63b32370, 0xa247eaa1, 0x1b2289aa, 0xe6a25370, 0xf024cd35, 0xc9119b0a, 0x3365eaab,
+    0xea6a3b1c, 0x2cf234e6, 0xe0984816, 0x8d9f5fbf, 0x10198a4c, 0x42cc7883, 0x6fab2015, 0xb2715e6c,
+    0x345b5240, 0xbb5e6733, 0x63812e28, 0xe72c0e2a, 0x5395a816, 0xf38046a2, 0xb9c82446, 0x64a076b5,
+    0x0a95d31d, 0x7359626a, 0x712f0d8a, 0xb145f2f3, 0x8985f687, 0x217d8c8e, 0x75b6317b, 0x93d950fd,
+    0xdc522526, 0x76bd95d4, 0x5cd63a28, 0x9c607368, 0x2f90cbd0, 0x0a5e29c1, 0x592266d7, 0x5e9bbeb9,
+    0xb72297ad, 0x6f56c50d, 0x909baa45, 0x2b89068b, 0x0ce7a0a3, 0xd44fd585, 0x0718464c, 0x5d22cd33,
+    0x3ecbda50, 0xef0698ad, 0x176b8426, 0x68abb5b8, 0xea2fe70a, 0xa74414a8, 0x6370366b, 0x27bd0412,
+    0x58f42234, 0x9dfef78e, 0x84b2d40c, 0x62947480, 0xa075fcf7, 0x66423848, 0xd6dd4443, 0xd2531962,
+    0xfef3a173, 0x8f2c5337, 0x363af327, 0x60e0eef2, 0xda4ddcec, 0x9726e162, 0x260af84b, 0xf1b233eb,
+    0x8db3667a, 0xed29fa31, 0xa09b5dfe, 0xd61f5b6b, 0x3b90d224, 0x7bd8bbb7, 0x80b622a3, 0x73ddddac,
+    0xc36e6184, 0x8a9485bf, 0xe7037884, 0x7dda0b9d, 0xb1aba9b9, 0x9c1086c8, 0xe00afad8, 0x983689ad,
+    0x46186bf7, 0xc2d60222, 0x08ff4fa8, 0x6dd278ae, 0x44e04859, 0x6279dc8f, 0x8875441b, 0x55134800,
+    0x07ce9771, 0x9f27cf7e, 0xd43b02cf, 0xa59b604a, 0x3ced5796, 0x81357479, 0x7da2844b, 0x1bd31640,
+    0x0f381680, 0xc52faea0, 0xee73bb84, 0xe0bcd9e2, 0x7c60b480, 0xc4eb6b4c, 0x4adc457e, 0x5b958fea,
+    0xb1ecbda5, 0x1e4cd949, 0x659eb794, 0x55ab6701, 0xf8f299c0, 0x24cff2e2, 0x9c5fc8d8, 0x73fdfa39,
+    0x4960b338, 0xa59a5ff8, 0x430fabd2, 0x98414db5, 0xe308c4d1, 0x43fed0c8, 0xbcb1a723, 0xd96da48f,
+    0x4e6bcf1e, 0xe3e4ac4d, 0xd6fa2868, 0xcaa72a4e, 0x72f00e9d, 0xa49d597d, 0x6802a38c, 0x54c55a4f,
+    0xb9cd18a2, 0x6f3e090d, 0x5ac66618, 0xd3b041b7, 0x0bcc5b27, 0xce1b1d1a, 0xa10f85d9, 0x489dc64b,
+    0x0e0a27cd, 0xc577daac, 0x065e2da7, 0xf9bf9194, 0xc1100693, 0x6fe1f9df, 0xd5cb0630, 0x7c849aa9,
+    0xbfeada72, 0x41ca570a, 0x63e75741, 0x76d8f714, 0x5158df43, 0xa1c45da7, 0x9da728e8, 0xa9ae5e62,
+    0xc8eb927d, 0x1c49763b, 0x65f2ba23, 0xe62cbbaa, 0x52b03c72, 0x67cf253b, 0xa588229e, 0x040b419d,
+    0xe42203b0, 0xad776d68, 0x94ae4aeb, 0x8b5cc80d, 0x7d49533e, 0xd39cc4d7, 0xb1270177, 0xad861384,
+    0x74f20a06, 0x1e50901e, 0xcea56cc7, 0x329bfb23, 0xd43ee483, 0x3f633ab0, 0x37953307, 0x91240b05,
+    0x534160e1, 0x1c5564cb, 0xd45539ba, 0xaec1222e, 0xa82a96ae, 0x463908ca, 0xb72a69e0, 0x88a1dae2,
+    0xaacd3eb7, 0x75ea0d4c, 0x7a6d886e, 0x55b4a737, 0x628d2539, 0xaceb12aa, 0x817207fb, 0xe125bfca,
+    0x16ea23f0, 0xe34bddc3, 0xd1c07fa3, 0x83ecaa45, 0xca841e29, 0x48e50968, 0x0c67b7d1, 0x69fd74de,
+    0x163d95e3, 0x97f9b52f, 0xe0b9bfba, 0x2052200f, 0xd947f86d, 0x0b411a4f, 0xadea5f8e, 0x461791a6,
+    0x46dc2800, 0x0b2c144c, 0x148602c5, 0x722d800b, 0x6e108786, 0x961061df, 0x543a7264, 0x563c8014,
+    0x5358676f, 0x6160c90b, 0x5bf4eddd, 0x61218349, 0xaab66de1, 0x6be5b298, 0x6deb6dd8, 0x62d880ad,
+    0x4ae89a46, 0xc1e7282f, 0xd646e478, 0x0f85b2ac, 0xe1defb60, 0x9d914996, 0x86136387, 0xab24a616,
+    0x664a7c91, 0xae9eecd2, 0x49e56c55, 0xf5bfcda7, 0x779b86ac, 0x91c29143, 0x9b031997, 0xd4d40829,
+    0x1a1de535, 0x7501903b, 0x2e7370b3, 0xa645c541, 0x09e90fa8, 0xf2404c96, 0x6e974afa, 0x69805657,
+    0x448f5c93, 0xaaadbc52, 0x347d965c, 0x5bcb4bed, 0x26e13fde, 0x3716aec9, 0xd4e2bfb5, 0x8c66a9c4,
+    0x2ea9a38f, 0x81409b28, 0xc3a8e4cc, 0x7bdb02ea, 0xb229ca1d, 0x19cfce93, 0xf16bd74e, 0x89284b55,
+    0x19ab5d5f, 0xa8ba0119, 0x94a69609, 0xbf6a0d55, 0xe9e9d10d, 0x26c42304, 0x66e90461, 0x7117c712,
+    0xe244c74f, 0xd2c1c163, 0x976f8dcf, 0x3b7f7071, 0xb1becb51, 0xe9b0e4a6, 0x54669330, 0x159e7464,
+    0xa352a0d0, 0xe54e6cc2, 0xaf593401, 0x4dc91b7f, 0xdcdb82d5, 0x0b9a44d6, 0x959cbae4, 0x853298e8,
+    0x54cbda23, 0x61b8ed68, 0x8a977ce4, 0x07a9cce2, 0x39cea6ed, 0x4cfa0864, 0x78244213, 0xd9bb28bd,
+    0xd3ab300f, 0x22051788, 0xb1d422a3, 0x545e5713, 0x4bddc188, 0xee724f1b, 0x7a901f6e, 0xd8be34b9,
+    0x0dd2f52d, 0x98b5c86e, 0x5792bfa4, 0x7c851732, 0x3a714f62, 0xecf927fe, 0x6c96f00b, 0xc11db401,
+    0xd7a8324a, 0xc8f50f4a, 0x6e6b5688, 0x63cd4c97, 0x76f7efae, 0x9b96a7a9, 0x891997df, 0x448625b9,
+    0x994c03bc, 0x8fda78aa, 0xd85864d2, 0x1b6d8294, 0x78a34518, 0xe0f9f65f, 0xcba578be, 0xaa1689e4,
+    0xd1471ed0, 0x7204b6d8, 0xee4e9a3e, 0x16a8dede, 0x05724fce, 0xa3e533f4, 0x8aa9e45b, 0x81c5d999,
+    0x15794f16, 0x78dc730f, 0xbe4f4216, 0x3662c1de, 0x7b0a9946, 0xf00750cd, 0x6164b451, 0x2566f336,
+    0xd274d1de, 0xce92a684, 0xa3b15368, 0x40d8ab66, 0x85d1ba59, 0xba4d1609, 0x9fa28d9b, 0x673c5136,
+    0xc00d2a4a, 0xcf1fb6f6, 0xc2b8b8a6, 0x8d74473a, 0xc728bc8e, 0x51ce43d1, 0xa6ec7ea6, 0x82cd52e2,
+    0x4672ec0f, 0x2c0e241d, 0x900ff988, 0x8de2d389, 0xb327bce1, 0xcedc2e60, 0x82526d9c, 0xb771d143,
+    0xc1cdf382, 0xfddf9913, 0x59a665da, 0xba805e20, 0xfd236f97, 0xc94f6fe7, 0xe5c99d51, 0x34fbd87c,
+    0x64c39d5b, 0xd06407a7, 0xcbf5d004, 0x1e16fbaa, 0x086f3c60, 0x0528e3ed, 0xce400c98, 0x667c8336,
+    0x2646aef0, 0x300a1b2a, 0x7e8b4de1, 0x405f3603, 0xa0ddf30a, 0x5af28d6b, 0xf0ef61b2, 0xfc946a93,
+    0x335e745e, 0x8f012a30, 0x06faae2b, 0x2614ae0a, 0x78c6ebbc, 0x4f98f72c, 0xb8bac9cb, 0x50807d9d,
+    0x5c3b4274, 0x3ef7494a, 0x1e4473f5, 0x6c1782d4, 0xaf00bee8, 0xa196cf53, 0xdec9aa5e, 0x58641612,
+    0xfedbbfe4, 0x42063959, 0x36a00354, 0x3bdbb153, 0xa994287c, 0x592dcfbb, 0x496e30f4, 0xeb3f00f4,
+    0xd8d8e3aa, 0x0a1afbf4, 0x8b43160a, 0x8c8d1b03, 0xcbbd3391, 0x0e03c065, 0xd4c7eee9, 0x2c12c7b1,
+    0xa3417b65, 0x8296b13b, 0x5e347570, 0x4e95105b, 0xf16b0cc8, 0xe63157d0, 0x283ac71a, 0x278affcd,
+    0x717a1c2b, 0xb5513584, 0x4d1a259c, 0xf54b95ea, 0x75195f8a, 0xa367ddbd, 0xfedfc041, 0x0dc84d06,
+    0x8d55e27f, 0x856c1b87, 0x4ce18d66, 0x419772ae, 0x71adc7d8, 0x1536f26f, 0x07a9ebfb, 0xdc4346b5,
+    0x87c0c50a, 0xcc299b56, 0x26031820, 0xcd0f0422, 0x7a7595f8, 0x7a7caadb, 0xe6ffd412, 0x8fa82368,
+    0xffa3b923, 0xc53e0d41, 0x79c4f1fa, 0x93d1467a, 0xb171e005, 0x0ec855e2, 0xe43cbfe6, 0x70c03b85,
+    0xdd76e822, 0x2e752f9c, 0xf04303d1, 0xdbfb367e, 0x1bde159a, 0x69a01dcb, 0x8bf6f0c8, 0x079a51e3,
+    0x209a61ea, 0x09724e30, 0x7ae0659c, 0x5e18f532, 0xf14418e2, 0xf2b7e8eb, 0xed349338, 0xdfceb78a,
+    0xf3641432, 0x1660a1b9, 0xb8e762fb, 0x6a361020, 0x398785cc, 0x6dcae061, 0xe937acf0, 0x28430d75,
+    0x0b09dc3e, 0xb6705275, 0xd38f4491, 0xd1514067, 0x68a2870f, 0x15f3b331, 0xf1f534db, 0x863b0a4e,
+    0xf44d15e8, 0x7e51ec50, 0x78bf276b, 0x977d8c96, 0xc2411c7d, 0x24729c2b, 0x7ae887e5, 0xa21a112e,
+    0x64671602, 0x73969700, 0x60e76fd7, 0x89d448bb, 0x49fb5ccd, 0xdf9966d8, 0x61485634, 0x6701f882,
+    0x05e0a5b7, 0x65cafb6b, 0xc7bc7300, 0xef059cdf, 0xd56dfb81, 0xc38fd7dc, 0xd5e77cb0, 0xafbba12c,
+    0x292fb56f, 0x9bd7e295, 0xe84e646a, 0xe1df87a3, 0xa2d5aaf8, 0x3d092d19, 0x048b7afc, 0xfd8f7707,
+    0xbe22aeb1, 0xe4f88b64, 0x68a44b06, 0xc41f5f24, 0x51d15bc2, 0x4ac33296, 0xa09b1ed1, 0x161289fc,
+    0xe69683d9, 0xa85c7e82, 0xa867af31, 0xb2ea03ba, 0xa05583b3, 0x30ce8c45, 0x6a6f1e19, 0xfc5c734c,
+    0x7b8c194e, 0xf6a3fde0, 0x625d8994, 0x8a0adf6b, 0xcf427f03, 0xbe9fd723, 0xaac43612, 0x79f6beed,
+    0x262528d7, 0x22cb9d53, 0x126cd002, 0x7712ddcb, 0x0a7d84af, 0x5793a1e3, 0xef34b3f5, 0x7d366352,
+    0xa7006694, 0x0ed83753, 0xea4c2262, 0xfdfb69f9, 0x742d65b1, 0x6e4146ca, 0x8dc8fde8, 0x4ddceabe,
+    0x8c5979af, 0x3ba4dc3b, 0x28586a21, 0xcc43918d, 0xb69a66de, 0xd0785b15, 0xed77410a, 0x1378d903,
+    0x488fecbb, 0x6c411386, 0x21735b4d, 0x830785f2, 0xf85fbca6, 0x6387c8f7, 0xbe6d7368, 0x5d44fea2,
+    0x61ed6080, 0x2bed3ce1, 0x6a6a9c53, 0x75b9d499, 0xdbb3fc17, 0x6bbce3a4, 0xf7d9a564, 0xfe5f6a7c,
+    0x9f338897, 0xd4990849, 0x226ae755, 0x976c65a8, 0xd31164ad, 0xf2f8fadf, 0x0301af4d, 0xb0a7f9c0,
+    0xa333aa1c, 0x053fbbdf, 0x4e845180, 0x7c42f2f7, 0xfddfe582, 0xea642f1c, 0x5f5a012f, 0xf855d585,
+    0x00000000,
+    0xa6fefa2f, 0xa562dc92, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000883423532389192164791648750371459257913741948437809479060803100646309888 */
+  { 0x00000000,
+    0xae5ddffa, 0x27e08e90, 0x9236ed93, 0x6a97988e, 0x73085d83, 0xc651a5a4, 0x30e05e71, 0xd3c8c58b,
+    0xfe9f1fd1, 0xec4a757c, 0x3a7fde9e, 0xd9533cef, 0x9d0f10d3, 0x56ae0f0b, 0xa326e533, 0x15cce222,
+    0xf8c1ae49, 0x70f9c862, 0x7e10601a, 0xfe104ab4, 0xeb28dc73, 0xa82ceeeb, 0xa57d3226, 0x370e8d5a,
+    0xe6ced93c, 0xa9bf76e3, 0x02a278b1, 0xc90eed33, 0xfda2aa0c, 0x13d8081c, 0xf36806dc, 0x4605e674,
+    0x53b85eef, 0x806f2c61, 0x7cd8e6d6, 0x34d5d160, 0xc1927fae, 0x2d64afc2, 0x291151b3, 0x2c50bd39,
+    0x96e71eff, 0xe034343d, 0x49d55582, 0x49fb959b, 0xc7f48700, 0x7fe66e33, 0x63234301, 0x1ea1491a,
+    0xe1397fa4, 0x25481988, 0xe084aadb, 0x2ca7e463, 0x1fd591a8, 0xc8a66d9d, 0x8fdf9f6b, 0x601ce480,
+    0x22755240, 0x5c2e9426, 0x5c86d683, 0x42f87045, 0xfb2b2746, 0x8b7422cd, 0x4d70ac38, 0xef4fe67d,
+    0xbd4d274e, 0xada1b5ff, 0x5f874834, 0xfa56d1a8, 0xde66e60c, 0xa31d4443, 0x253734e5, 0x51c9d2ec,
+    0x97b4f33e, 0xfd1328c1, 0xa871a8c7, 0x7bf20794, 0xb6ffde9e, 0x7b784d87, 0x18e45408, 0xcb499115,
+    0xaed392aa, 0x599cd716, 0xcaeca951, 0x69035a0e, 0x9dcbe175, 0x62edccf4, 0x1723115d, 0xfbff8fbc,
+    0x75a29b2c, 0x7b772c43, 0x507c2e9f, 0xf0b124f7, 0x7b3025b3, 0xa55e121e, 0xcffd9520, 0x9b265d03,
+    0xc4572f4b, 0x1144c20e, 0x6cd3b0ce, 0x833504c5, 0x47a9388d, 0xef2bdd4b, 0x356ae326, 0x19b51d67,
+    0x2b419a72, 0x5650f162, 0x69035b24, 0xc5eb6787, 0x478272ca, 0x59874af9, 0x0534ee43, 0x8f6b52a6,
+    0x141f3c2e, 0xc11a820e, 0x093fbf64, 0x27801026, 0x995e6193, 0x65cd8bf3, 0x2ae53e49, 0x1a3c1ef2,
+    0x33008c56, 0xbc9f242a, 0xd110bf1b, 0x1e21428d, 0x3817194b, 0x9a1c885c, 0xa08391ef, 0xe7903350,
+    0x573c2486, 0x9fb777dd, 0x148c7c28, 0xa427b9ed, 0xf8982933, 0x78489e70, 0xe7907ed7, 0x87b33733,
+    0x6be251e4, 0x90eb0fec, 0xf90c7004, 0xb939ba8e, 0x37b0372d, 0x8fb2f7e0, 0xa6dad575, 0xfd8014d8,
+    0x6972f648, 0x5a2040f2, 0xb11cb129, 0xaf5201da, 0x8d678917, 0x40188bd2, 0xeaf88068, 0x1faea8f5,
+    0xe2e53472, 0xf7eb9681, 0x9da138b5, 0xbf105536, 0x36d37887, 0x5b84a3da, 0x8bc664bf, 0x85f947ba,
+    0x01d97110, 0xb8629102, 0xef987963, 0x492ec4cb, 0x92954922, 0x6dc1a8c2, 0xaf9af621, 0x1b2ef4f7,
+    0x86cb9166, 0x7c6efd0d, 0x06618643, 0xe0e00c69, 0xfa84c0bd, 0x588ea8a2, 0xbf7acec1, 0x4597c38e,
+    0x31c28f73, 0xcc23172e, 0xd4ec1caa, 0xbe5007cb, 0xd42afae1, 0x9bdbc173, 0xe7237f74, 0xebea9c17,
+    0x11903129, 0x62bf379d, 0x81fde0a6, 0x0024dc7b, 0xbf165910, 0xf39a4ad1, 0x2eb1ce4f, 0x67dbda4e,
+    0x8e55e6b6, 0x4ffb72b9, 0x74974417, 0xfcaf4198, 0x41638f6e, 0x06dd8e05, 0xceeb63dd, 0x55e2420f,
+    0x1d2ffa19, 0x34789c5d, 0xa5e98b8a, 0x1c818402, 0x2c710d1e, 0x7d9a63d2, 0xa505ae0c, 0x023f4e69,
+    0x11c242fa, 0xbbba2e59, 0x2d3968ff, 0x643211a7, 0x13c6c4dc, 0xbb915940, 0x06267c73, 0x1b0f6be8,
+    0x8dd0aec9, 0x8eac38db, 0x1b2f3e17, 0x9b71e9a9, 0xa7e09c49, 0x06527516, 0x7867bb1d, 0xbbf307f4,
+    0xf32b2748, 0x5f177664, 0x0e83b784, 0xaae79ce8, 0xb6466a55, 0xe5778bba, 0x5c2fe695, 0x3534fec4,
+    0xca056e22, 0x07303031, 0xd99f72ac, 0xcc985947, 0x2ebea48a, 0x44570e89, 0xb8392d29, 0xd04b5ec4,
+    0x368b9cbc, 0x147f2dba, 0x5db74519, 0xdbffb9e9, 0x0d7e2548, 0xd72cfeeb, 0xfed1c80a, 0xcc7d2860,
+    0xf406bb96, 0xda732fd8, 0x077d88a9, 0xfd54d07c, 0x3b605ff6, 0x4e99044f, 0x26717569, 0xe5ff4302,
+    0x8977944c, 0x877f5002, 0xfa371af0, 0x0fd33311, 0x35921599, 0xce14ffda, 0xcc59ec58, 0xcfb2da4f,
+    0x309049aa, 0xcfc128d0, 0x0ba2ef69, 0x529004e8, 0x864b0cef, 0x5b1ae50c, 0xce6db233, 0x69b29291,
+    0x1c90b5bd, 0x287cfdb6, 0x71c4bc21, 0xe4db0878, 0x7eb279d9, 0x1b835222, 0x4c1ccc66, 0xe9374db7,
+    0x156e61a7, 0x715b6211, 0xf4464a26, 0x0e9e9a0f, 0xc2dcd39b, 0xf5f027a5, 0xa4118315, 0x12b8f265,
+    0x25448404, 0xe2322a06, 0xc4a6bcb5, 0x64d51af8, 0xfc222703, 0xd5134775, 0x0182e2c0, 0x406418f7,
+    0x1f6f0bd4, 0x38efe52f, 0x0f85bf85, 0x522c1a81, 0xfd39402d, 0x3ff0618d, 0xb5b39cc2, 0x0341cc11,
+    0x2e1d77a5, 0xaabc8936, 0xab5772b2, 0x8aa1eceb, 0x22e9a125, 0xa8ffcf9b, 0x19f9ed87, 0xda243a96,
+    0xc8f0fb0c, 0x705797c2, 0x4d1594ed, 0x01b6f1cb, 0xc45b2e57, 0xdc9fbbb9, 0xe8f12722, 0x03e0be91,
+    0xb26c3876, 0xb7ccca38, 0x8c776317, 0x7ba913fb, 0x990802e4, 0x0749d5d6, 0x2871a2e5, 0xc2239af6,
+    0x2be0ff90, 0xbb116040, 0x9be2612b, 0x5059ada8, 0x1795113a, 0x1de0cd1e, 0x56e19756, 0x2227a9a7,
+    0x2df5ee4e, 0x3376e5ac, 0x2d60fd1b, 0x25ba5885, 0xdfed6f74, 0xef8e17f0, 0xe255c4c2, 0x213da567,
+    0x4ebb41f2, 0x8a0002e1, 0x9be53992, 0xf0bd8af3, 0xedef7c1e, 0x6e58906e, 0xdb258f4a, 0x69d9ba22,
+    0x5961ccd2, 0xf91e01e6, 0x19547a35, 0x4023b32a, 0xc8dbde70, 0x09fb528d, 0x34bc6110, 0x2d6b40d1,
+    0x96e3c417, 0x7318b9b9, 0x40ef97ba, 0x2db1f48a, 0x42745671, 0x7241999e, 0x36d3006e, 0xc11ada16,
+    0x4dbc3883, 0xf9e1b51d, 0xb66c143f, 0x8c73a02a, 0x5215e2a5, 0x1c6fe3a4, 0x3d87265b, 0xfbcb7b04,
+    0xac1ee6b6, 0xf48751f2, 0xef35142c, 0xf79fb036, 0x1c268ed0, 0x600642df, 0xd5db80a6, 0x4238507c,
+    0x4f38e992, 0xf6e797b5, 0xa5200eae, 0xbabc6ba8, 0xdecd433f, 0xe5ba9d55, 0x8ce98149, 0x45d3a7ef,
+    0x81f9a17e, 0x6045c615, 0x2406e7ec, 0xc11e6dcd, 0x61ac4dfb, 0x549ea37c, 0xe48a31f6, 0x82bd4afc,
+    0xb1fe9ebc, 0x95e69d78, 0x55fb01d6, 0xf3a1faf5, 0x11822fda, 0xbce1e805, 0xdc8dae8b, 0x2f95a7d5,
+    0x34befe6e, 0x448b9806, 0x43ceccb1, 0xb8c18746, 0xa69aff4c, 0x6ad4ae56, 0xf688569b, 0x570a1690,
+    0x5e9485f6, 0x5a8913e8, 0x4ba85a6a, 0xcd6d8909, 0xdc638513, 0x81863c90, 0x19aa10f8, 0x62338a82,
+    0x135bb482, 0xe7972ae1, 0x62df17b6, 0xa68eaff6, 0x17854cff, 0x0c114787, 0xe6c0d1b5, 0x9e6dfe65,
+    0x454ea0cd, 0x7f0324fd, 0xc987b714, 0xd690e393, 0xf48727e9, 0xe318e139, 0x764c8925, 0x8963a19d,
+    0x9540dd73, 0x737d6dfc, 0x00999491, 0x8b3e9eed, 0xc719dd34, 0x34c769c0, 0x7d3b8606, 0xf84bbfa9,
+    0x6589494f, 0xe49031ff, 0xd193eb27, 0xf0be333c, 0x26b36fe5, 0x364e827e, 0x10ddf7a9, 0x3850cdf8,
+    0x1ce58127, 0xc8051e4c, 0x9c6fb347, 0xd3dc0ca7, 0xacc9a1f4, 0x224685eb, 0x6a2e9a59, 0x8a960234,
+    0xf57d6147, 0xf4a33465, 0x5674fb82, 0xf8176a42, 0x234c5bd3, 0xdd824374, 0x60289fde, 0x3eedc778,
+    0xa660d37d, 0x287683d1, 0x45baf268, 0x018c9a11, 0xef56513d, 0x9174364c, 0x4a36c3a7, 0x78a884f1,
+    0x81550489, 0x121cc60b, 0x8a916489, 0x83dbd13b, 0xd7656ec1, 0xee773b5a, 0x444078c2, 0xcc67a1fc,
+    0xe31bafa0, 0xf051a964, 0xca437d8f, 0xda2debc7, 0xe2efd735, 0xf10d2dc8, 0xbb8fff0d, 0xff834500,
+    0x1b9305f4, 0x70f4168b, 0x875ff55e, 0x2ed106fd, 0x65f62a50, 0x92527f4f, 0x6a8b4aff, 0x62dde83f,
+    0xb737e0c2, 0x5e012ada, 0xa22a1711, 0x9caf95e2, 0xbd6c0624, 0xa2a69ec3, 0x320227d7, 0x96c71f01,
+    0xf25700e3, 0xf8a88ca9, 0x606939a7, 0x6390a5db, 0x7335c3c1, 0x8ddabeef, 0xb870410e, 0x7c6184d1,
+    0x73cbc4cc, 0x2a90395e, 0x81ab1639, 0x72af8e02, 0x7e634cbc, 0x2c45cc7f, 0x8b75901e, 0x48a2c8d9,
+    0xcf560ba2, 0xd6320c37, 0x48d1e3c4, 0xdabd8b9d, 0xcc1e0228, 0xd2cdaf60, 0x914052b2, 0xa045c940,
+    0x6e0a44d4, 0x2edb4033, 0xeaf594c8, 0xc8a9ea4b, 0xdd008b9f, 0x0b896d60, 0xa3083455, 0x3badf6e8,
+    0x785a9912, 0xfe5c2816, 0xc1d029f9, 0x2978e22b, 0xb3a11cfb, 0xd37ab882, 0x5ceaea55, 0xf3727ca3,
+    0xf9ae1700, 0xad492a96, 0xab6d6421, 0x82142b68, 0x9c80e1ee, 0x97106e18, 0xa451e181, 0xe48962ef,
+    0xe8a61eb5, 0x95a528d8, 0x49111121, 0xdc38053e, 0x1fe5ed4c, 0xc73cbcd0, 0xadfd7083, 0xdeceb307,
+    0x12398688, 0xba8de096, 0x8e5db229, 0xccee4b23, 0x35a982bb, 0x5fef5065, 0x2efb1a75, 0x096bbcac,
+    0x7c9ca086, 0x335dc191, 0x456170a2, 0x604c08e0, 0x533afd9a, 0x4f4903f3, 0xdbf74e91, 0xa9083e9f,
+    0x8c27d0e6, 0xb0bece86, 0xcc1aa587, 0x903fdc93, 0xb053ed4f, 0xa60efb16, 0x94be12f9, 0xfe9430ab,
+    0xdcf779f3, 0xd9d5cb7b, 0xbf84ef00, 0x9bb78849, 0x51a7af48, 0x5479f227, 0xc4e44ae1, 0x5adfc7f3,
+    0x60aa7ca9, 0x6b96615e, 0xaeb8de2d, 0x4020ba12, 0x4d1d934a, 0x78ee9aa7, 0x43f71901, 0x13a51577,
+    0x72811f87, 0x33a5fc5f, 0x3bd6793c, 0x2781e7d0, 0x7b22cdca, 0xbb45b278, 0xe141f6fb, 0x521a4d00,
+    0xb332489f, 0xa03279f3, 0xdfc3861d, 0x3ea0cd20, 0x14483f6e, 0x6849735a, 0xe6ef58c5, 0x42f7a269,
+    0x9e752d16, 0xa72400e8, 0xb97b130e, 0x149defdf, 0x996ba3fe, 0x66357243, 0xe19e35ad, 0xccbb3f55,
+    0xe9722f0a, 0xc320f1b6, 0x8cf4f3ea, 0x022a7aca, 0x5b6eb80a, 0xfbe3874f, 0x26c537da, 0x46f338be,
+    0xee468265, 0xfed3326d, 0xc55d3ac5, 0x7dd4807d, 0x84f49171, 0x3a371025, 0xbbdd9cfd, 0x85184f13,
+    0xa357fc6a, 0xf53ee76a, 0xbdad6e4f, 0x78ad032b, 0x5677f698, 0xebbd55c8, 0x8ac2cae4, 0x8a48a4e8,
+    0x7bc616a7, 0xbb5fae17, 0x36abb4e0, 0xb6a6c605, 0x3fe8b0cc, 0xc8a9ef20, 0x3ec45310, 0x5a9992d1,
+    0x95a7898a, 0x3f650a28, 0xc9548627, 0x08d44792, 0xe906e0a3, 0x70a4790b, 0x68e94f96, 0x2f1bb06d,
+    0xaf5ebc0d, 0x56a2b5a8, 0xbd2456b1, 0x46ae96c7, 0x28de7123, 0x676c3e92, 0x7901a552, 0x440a484e,
+    0xc98600da, 0xdb3be3e1, 0x6b4795bd, 0xcf107d19, 0x23438e58, 0x5ad3fe92, 0xc800c2a8, 0x905a35eb,
+    0xb276e677, 0x8e00be4b, 0x6872e3d0, 0xcd1926ad, 0x9bffd84b, 0xdeb8ff9e, 0x03197a1d, 0xdb373761,
+    0xcaa97ed3, 0xf2b2f5fb, 0xd0c0ff66, 0x4d40dc35, 0xb0b30695, 0x5d2b7c81, 0xd9bee93c, 0xef654519,
+    0x6e3c73e1, 0x23ea89f6, 0x195a583f, 0xd320a471, 0xd4edbab4, 0x90aa07cd, 0xc72bae67, 0xe88e8935,
+    0xf194ca51, 0xd92a2f30, 0xeb2682b6, 0x42219807, 0xdd64c246, 0x99ec4208, 0xde646d3a, 0xfe79c036,
+    0x326bb6a5, 0x2211dff6, 0x4411071f, 0xd161b971, 0xd92bd11a, 0x0b0d56ec, 0x0cee62d1, 0x2ff2f60a,
+    0xac2c6398, 0xecd7fca0, 0xebc5c6c6, 0xd027219d, 0x0e36030a, 0xa21acedf, 0x66c73c3a, 0xa41c15fa,
+    0x82c7b505, 0x3cd4971d, 0x9fef8a14, 0xab3dc5a6, 0x5dd2068d, 0x5e763554, 0x136f70d2, 0x6301d1f3,
+    0xf608c17a, 0x1df2048f, 0x065e4720, 0xdee82428, 0x95ad0f04, 0x4831403a, 0x88881715, 0xa917b36f,
+    0xe20a5487, 0x981b5e64, 0x4d36a7e0, 0xaa8ec2d6, 0x8710fdce, 0xc2e4e4dd, 0x119e377d, 0x6041226b,
+    0x511b8659, 0x10e550f5, 0xb33f5f81, 0x660959f0, 0x61d8f8f4, 0x674271cc, 0xae03965a, 0x65b60615,
+    0x863b1891, 0xa0330777, 0xb601e870, 0x935d796a, 0x5e6cbfdd, 0x7b7e182c, 0x75f0cd11, 0xb1a2abc4,
+    0xdd2b935d, 0x2589f304, 0x744b1174, 0x0b01c6be, 0xaf850f06, 0xf5d4c40b, 0x5c7edec0, 0xb5b8a5cd,
+    0x2f59664a, 0x8015efaa, 0x4fcdf958, 0xcd743b55, 0x29387ba1, 0x8d2f61bc, 0xe5813f56, 0x96a18708,
+    0x38ac30bc, 0xf5421269, 0x55943552, 0x02cb1eac, 0x1dbfe778, 0xcda7f71f, 0x0609605e, 0xa43ceec2,
+    0x55e8fc98, 0xee4db4d0, 0x74968ab8, 0x26a3ba39, 0x2e81161a, 0xee88ef5a, 0x323d8e84, 0xc50ebaa4,
+    0x88dd5813, 0x025f3d63, 0x460595c0, 0xb77e11f6, 0xc1207485, 0xbdbc4f3c, 0xfe61c6f2, 0xc54c3cc8,
+    0xf9855c9c, 0xb71952e4, 0xf07fd09d, 0x95b55f27, 0xec60aed9, 0xf8607162, 0xb8853230, 0x896e06a2,
+    0xb8db35f7, 0xbd3b74ad, 0xeb2f17bf, 0xeb790edb, 0xf80fac05, 0x533be216, 0x547b8d1b, 0xd24dcd96,
+    0x4ebb156b, 0xfc2978f4, 0x2d5cdca0, 0x364a8b79, 0xff2bbe73, 0xe55ed99d, 0xef48d1e0, 0x3ba3ba39,
+    0x067ba742, 0x2b072fc0, 0xf0181b19, 0x673aebe8, 0x9e9b9638, 0x4910eea3, 0x74c09425, 0xb4e0b6bf,
+    0xfd2ca8ab, 0x0f9b6a3e, 0x1114d8d6, 0xaf43cf8e, 0xe6b6ee12, 0xebd1d123, 0x5722aeee, 0xfe8035d1,
+    0x4b1f7a73, 0xdbf42a89, 0x3337f92a, 0xa50bbc55, 0x979d27f7, 0x2d5d684a, 0x7cb557cd, 0x53e73d63,
+    0x022d3655, 0x4a0a5384, 0x40584d89, 0x90d6e0c1, 0x9b1785b8, 0xb55b8a23, 0x55c22776, 0x074b3f27,
+    0x88f94317, 0xf95c6606, 0x361eef31, 0xd32c04fc, 0x83fa0c5f, 0x377cd94b, 0xa0e13c35, 0x67af97ee,
+    0x89a9c641, 0x73678a93, 0x2c81bad5, 0x693bf22c, 0xf9e3f4fe, 0x4e799708, 0x8df90d89, 0xdb9b7811,
+    0xe6122081, 0xf65669e1, 0x9987faac, 0xef12e339, 0x568e6366, 0xfab3b8d4, 0x0a2655d0, 0x2c12122a,
+    0x34fb8f0a, 0x1b5b6c4e, 0xc76f6918, 0x36c293cc, 0x7d71d193, 0x965513e0, 0xa3f2ee1c, 0xb5819d5e,
+    0xd0eab780, 0x938252eb, 0x7c2cda6a, 0x76eef862, 0x91c741f7, 0x8a0e9231, 0xed4b7b8d, 0x4aa465ae,
+    0x68fa75f8, 0xacd91a18, 0x4d0b8a74, 0x1389e7bd, 0xfa336768, 0x64c1875c, 0x90b0d6fb, 0xcbea9f5a,
+    0x93230308, 0xf78c563f, 0x7ff9bc3e, 0xeddfb086, 0xd7e6a759, 0x8f7bae2e, 0x401fd7f4, 0x2d985e3d,
+    0x25b803eb, 0xb78102e6, 0xd15e7c10, 0xf4499a94, 0x23f52fad, 0xc6f8b75f, 0x82051a48, 0x16054607,
+    0xc00ee045, 0xdf9384b0, 0xf5d66d88, 0x39bf346f, 0x68ac95dc, 0x715225d8, 0xa35b8e53, 0xd4022bc0,
+    0xfdcf91cd, 0xc32475ed, 0xe66f7553, 0xc89752fa, 0xba0daf5d, 0xd2266a8d, 0x9ae60b08, 0xab0ca70d,
+    0x8d690e2a, 0x56dfe04d, 0x1e1f293b, 0x0ac9a12c, 0x5e107150, 0xf94b0cd6, 0x3f67dc1f, 0xd30d8c02,
+    0x534553f1, 0x4d494798, 0xa2d954be, 0x760deef7, 0x6f2a9864, 0xa22a3368, 0xb11da74a, 0xa39d6015,
+    0xb752f752, 0xf94fd2f8, 0x434af418, 0xf9b1821a, 0x55ae6a6f, 0xf889b52e, 0xb6d8cc27, 0x013cacca,
+    0xc4c09329, 0x0dd6d607, 0xfb026b36, 0x4ff53b45, 0xd2082426, 0x59c0a50d, 0xb8983170, 0xa42ea15a,
+    0xd6ea32db, 0xe813e9e6, 0x14d6c2f1, 0x9443edce, 0xf5b3f2d5, 0x91df163b, 0xece0439e, 0x664605bf,
+    0x29f64372, 0x445cdb4e, 0xf6b76e13, 0x510652b3, 0x420f4373, 0x24d16700, 0xed7c2e3c, 0x23062bf6,
+    0x058e54cc, 0x4f2ecb4c, 0x99776219, 0xf9e69979, 0x14f16ba7, 0xd83ef19f, 0xf08c40a4, 0xb249f29f,
+    0x00000000,
+    0x537f7d17, 0x52b16e49, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000441711766194596082395824375185729628956870974218904739530401550323154944 */
+  { 0x00000000,
+    0x8c92e27e, 0xf25cb600, 0xac0b772c, 0x2f6bb6dc, 0xf4942407, 0xdc6e83e5, 0xa725ec13, 0xfaba8e9d,
+    0x6faa033d, 0x14208234, 0xcf940281, 0xa8629af5, 0xd2991acc, 0x744fd717, 0x6cb6c67b, 0x791b5f5e,
+    0x700ce6f7, 0xd2bba5a4, 0xef3af378, 0x5cd86084, 0x0666a1b4, 0xf811e1e5, 0xbf31f3af, 0x077f02f4,
+    0x52eed255, 0x47281cc7, 0x50c4852c, 0x2d0a1ba6, 0xb5fc137c, 0xe3719eaa, 0xee6bbff8, 0x14a75205,
+    0x074168d4, 0x757788af, 0x4af4d70e, 0x20399a3d, 0x1865f15c, 0xa02842ae, 0xdd985824, 0xcd633102,
+    0x7c647cc1, 0x28839cd3, 0x0656f0c0, 0x1c159a8f, 0x9f81550d, 0xe3f1c61e, 0x1ea5370c, 0xc0ee85a4,
+    0x926f9c52, 0xdeb53b29, 0xbb72ede6, 0x92fb38cf, 0x5bb33f37, 0xa8bf158b, 0xe1209070, 0x52c4f7dc,
+    0xad847f7a, 0x756eedf0, 0x390b3b4c, 0x0aa1f05e, 0x34ecdef9, 0x6b5403f6, 0x7a0d574c, 0x9191a05f,
+    0x49649c42, 0x8f133ecc, 0x023f85cf, 0xb2f2d911, 0x89b1650c, 0x03c3f982, 0x52245513, 0xdbe86060,
+    0x855a169b, 0xc5a0a31f, 0xdbf25e77, 0x568f3b65, 0x3a300039, 0x9d340945, 0xb2c3a63f, 0xae4d1233,
+    0x5aabfda0, 0xa1d75b3c, 0x821b6d05, 0xf7820630, 0x8d26f810, 0x0b01b75f, 0x67dbe5e1, 0xec9d911e,
+    0xd236c3ac, 0x093e16bd, 0xad8c1800, 0x7d86c2a8, 0xd0dd9daf, 0x78b9d327, 0xdc870f14, 0xfffa27df,
+    0xbc2e1048, 0xeebf2fb7, 0x6e3ebd2a, 0x5c1885db, 0x61a5867e, 0x6eaba7c1, 0x2b8f7d59, 0xb1d41594,
+    0x6ca0778a, 0xe7d8c8a3, 0xca04dcd4, 0x8ca63732, 0xddc4c6dc, 0x8c8d53d8, 0xcb6bef24, 0x5c77a2bb,
+    0xaba9cd6d, 0x34aaac27, 0x213ca0e4, 0x16dc8c7f, 0x8fa0443a, 0xa00279a3, 0x59905066, 0x38333f6f,
+    0x7632aa4d, 0x83b5b368, 0x72cd3e3c, 0xa55d1a69, 0xf27fa2fe, 0x9f786ba6, 0x79aadb9b, 0x41c585c0,
+    0x5a5084d4, 0x41122fc2, 0xecd6c152, 0xb38eccdb, 0xf390a4b4, 0x9de593a8, 0x2cc67e26, 0xfdc20d01,
+    0x8f687780, 0x79099f41, 0x544d77d3, 0xabeffa1f, 0x3cf3ef44, 0x3c141219, 0xd255d8ca, 0x0740ef86,
+    0x2621a32b, 0x75d898b6, 0xbcfd6f7c, 0x3b3d96fa, 0x18299de2, 0x2d3287db, 0xd755e8dc, 0x56f72f58,
+    0x1f39dcd8, 0xe39559f7, 0xadf3b5e2, 0x18539868, 0x49575863, 0x10b7c8b3, 0x8dd59c90, 0xff7a16fe,
+    0xbd33b951, 0x1bd05783, 0xf74913af, 0xea811d37, 0x5da9a9f2, 0x229f4968, 0x86e57b2a, 0xbca6d8d0,
+    0xbe263c1b, 0x8f29a799, 0x797f4fd5, 0xc663ac4e, 0xc4763244, 0x24db88d0, 0x6c2f1ffd, 0xdae37259,
+    0x7c6160eb, 0xfbdda6d7, 0x43a7e074, 0x8f28a2b4, 0xd3c61307, 0x880f8591, 0xd1f3011f, 0xb9aef065,
+    0x83687e56, 0xe6c8c88a, 0x7cab6b84, 0x9ba0e07c, 0x6f963a5a, 0x16b662d9, 0xcf915e4b, 0xab1a621e,
+    0x12a8efbc, 0x30c812ec, 0xee17ba44, 0x46750b79, 0xc79e0319, 0x11c1adb6, 0x71cae89f, 0xb004dacb,
+    0x4eb59c58, 0x3e1285ec, 0x124a0edc, 0xda6b8964, 0xb9d90b0b, 0xba55ac3c, 0x07b489d1, 0x282cf349,
+    0x2507a27d, 0x4dfd3ed6, 0x0be82667, 0xffbf9656, 0xe6331483, 0xfd0b458e, 0x19906e74, 0xc36e01eb,
+    0x4b5ebc1e, 0x7b3d46d5, 0x17dfd3ff, 0xd785fa12, 0x79f16562, 0xe4c638bb, 0x3181fcd8, 0x90362b69,
+    0x63e3faea, 0x573fdfc4, 0x93ffa885, 0xfb9deaf0, 0x57170e96, 0x4208c166, 0x008175da, 0xe4b2e7c7,
+    0xbd23fc96, 0xa61c3fdb, 0x7a3f8576, 0xcfb5a66b, 0xd369a571, 0x3de6f7d6, 0xe44c8b56, 0x89f63d17,
+    0x61575a7c, 0x929b07f9, 0x79750cbf, 0x5ce31ff9, 0xccb81733, 0xca08b5d7, 0xa001d2a4, 0xdfa55de1,
+    0xfa1a00b8, 0x8ade8bc8, 0x413de2d4, 0x04242769, 0x07ab28ed, 0xea4ede7b, 0x24ec17e8, 0x8ddb8e4d,
+    0xb4da2295, 0x725df2ad, 0x585a8a86, 0x0473346b, 0xd1025e43, 0xf66dfe53, 0x84915955, 0x1af7c290,
+    0xf00502e9, 0x931f8b11, 0x45a3d282, 0x392aea91, 0xcd70dac8, 0xed3eb5e5, 0x6169de16, 0x4b83e143,
+    0xc1894b10, 0x1beccd67, 0x25e68324, 0x93b941cd, 0x1fa89e84, 0xd5e117e5, 0xa45faf34, 0xcb3b4e8b,
+    0xe7b4797d, 0xe372897d, 0x9e4fb6bc, 0x04a08d49, 0xb62d540f, 0x9d0f66fd, 0xc93de998, 0xcb3a4610,
+    0x47900a2e, 0xb510759d, 0x1d80d476, 0x4f3c9516, 0xdd7d386c, 0x3211f6c6, 0x93b2ee6e, 0x263ce8ec,
+    0x51c2b540, 0x9c97738b, 0x5f0b4921, 0xe92380b0, 0x83d3e98b, 0x96eaab8e, 0x1f6d9eef, 0xd2737220,
+    0xfe572843, 0xd3031b12, 0xe819ba7a, 0x07dce4c2, 0x253a114c, 0xf30108b8, 0x69006ba7, 0x6669e8d9,
+    0x0cab1b65, 0x297165b2, 0x79f53128, 0xc63f66da, 0x0403714b, 0x758bdf13, 0xeb2a0c41, 0x776e73cd,
+    0x8792ab29, 0xcbbdaed6, 0xd12a05d2, 0xceb5d061, 0x0283ce1e, 0xdc9a1de3, 0xe3016175, 0xaf5a7fbf,
+    0x12b67e32, 0x5753cada, 0x806a2f56, 0xcc8277c0, 0x03e4d94b, 0x31308eba, 0x4bfa3eec, 0x38dd647f,
+    0x72e06c2d, 0x3656b36b, 0x4c0b3286, 0x4e5e6580, 0x745fa7c2, 0xc26786d8, 0x7cf63a7a, 0xd18032af,
+    0xe28c0bfb, 0x6d50b3c0, 0xa87c8580, 0x2adeca6e, 0xa30f191a, 0x9fce90c8, 0x5a9d7307, 0xd7efdc40,
+    0x24b372a1, 0xaa6d0d27, 0xe0849abf, 0x97a84e41, 0x661fc2db, 0x8a070905, 0xeb3c92bc, 0x7a47a663,
+    0x45e8d8a7, 0x3bb34ec0, 0x6136669c, 0xb0b2d45c, 0x26693dd1, 0x6d77b697, 0x7833ce8c, 0x60ff06c0,
+    0x4c29a29e, 0x8274ce91, 0xa3121a9f, 0xe3f1576f, 0xdab2e9bb, 0x2ab38901, 0x77f446ec, 0xd8db550e,
+    0x5193e138, 0xb25312b0, 0x553775d8, 0x3bf71124, 0xe8151b97, 0x512cd0b9, 0xc2f32418, 0x8d784c31,
+    0x757fdd66, 0x7901f991, 0x4cc6732f, 0xbef1aff1, 0xc6fa13f2, 0x8ad71911, 0xc353a1dc, 0x559fa8f3,
+    0xd68bb3e1, 0xfd296baf, 0x3aaa42bf, 0x7f5b9b4d, 0x43ebbc19, 0xaf095bbb, 0xf774e8e4, 0x2f26b9ab,
+    0xc9ceea05, 0xa2380e01, 0x55f70f36, 0x254d4096, 0x95295d6b, 0x854398c1, 0x1c3f543c, 0xd77ce51e,
+    0xc72e6d18, 0x4848acf9, 0x0c3c84cf, 0x8cf02b32, 0x91102c03, 0xab930b8c, 0x01be52f6, 0x18501954,
+    0xb853ba69, 0x86caf4ff, 0xbe41a239, 0xe1451f6d, 0xd7fabe52, 0xca15a1c0, 0xf297d2d4, 0xe54333da,
+    0xdae21346, 0xf5081059, 0x1a2e5902, 0x6399ab9f, 0xe062e0ef, 0xbe514f1c, 0x96c266e8, 0xc9e71944,
+    0x3d3d63c0, 0xe2129543, 0xda5e8575, 0x76a67d82, 0xc95b8dc1, 0x17fe7d63, 0x7a8e07f4, 0xd22ab19a,
+    0x7e4a1867, 0x76c2d39c, 0x8de4446e, 0x5750f7ee, 0xddea8f4a, 0xc11fa4f2, 0x552bb461, 0xf44fb206,
+    0x2025075f, 0x8f37d34a, 0xe9b0fbd6, 0xf1b5d358, 0xd922b37b, 0xb81f0212, 0x32ea84ff, 0x0923aa45,
+    0x3198d2f4, 0xd62b1bc6, 0x9b4c598e, 0x77887e79, 0x063ad030, 0x962f4ee7, 0xf60f2006, 0x9c66ae3f,
+    0xfc1a0acf, 0x2f477133, 0xbdcc1786, 0xe7b1bcd5, 0x0b3b2e3f, 0xd3dfd7b8, 0xb57c6dcf, 0xbe2f25d0,
+    0xf6c78b04, 0x2be7a48d, 0xa0f5a92d, 0x0a276465, 0x52833101, 0x73c32052, 0xfb511a06, 0x724140c0,
+    0x8e2aac76, 0x02df20ea, 0x6b9d48ad, 0x087ed2dd, 0x0efabf7d, 0x50273f1e, 0xe20c0e6f, 0x9207f333,
+    0x4e5d9d57, 0x485a2985, 0x5e108efb, 0x0d11123b, 0x39c6eb08, 0xc1061be4, 0x4e03528f, 0x756091a6,
+    0xe45b1086, 0x4739a670, 0x1942acba, 0xcf343188, 0xccef1359, 0x1bc47c7d, 0xb243ddcf, 0x717129f8,
+    0x9d44cfaa, 0x57182e2e, 0x468bedcd, 0xb9d0b9f8, 0xb0df1967, 0xf7233796, 0x514ec696, 0xbc1030ba,
+    0x0b053299, 0x7ea17401, 0x76a4ac34, 0x61e857e4, 0x00f1f033, 0xde6edb94, 0x14f2d56e, 0xa0042952,
+    0x8c02c073, 0xe2b9010c, 0xe2e0008a, 0x77b482ea, 0xdd3d0543, 0x9c4bf0b6, 0x98ff6f33, 0x47a6796d,
+    0x9d3684d6, 0xe7e3240c, 0xf54e2847, 0xf1d7d93e, 0x3cfbfbf2, 0x455c2e3f, 0x14451eb1, 0x183e4146,
+    0x496d1ce5, 0x24e8215f, 0xe088d161, 0xa1a8e1df, 0x5d9114be, 0x6ab744a8, 0xb2604303, 0x0b1d61a3,
+    0xf9e23b72, 0xdf20261d, 0xbc0ec9b1, 0x723a1726, 0x3a8abfe6, 0x22131db1, 0x53be02e6, 0x7d9b53d3,
+    0x5b8795e4, 0x58809066, 0x6c2b3a13, 0x14b976b0, 0x02bfcc29, 0xf164ebf3, 0x2585dfe5, 0xa9b0dfd3,
+    0xbf36c779, 0x62115d5a, 0x0f70808f, 0x6453a3f0, 0x602c2ce3, 0xd9530a6f, 0xec822377, 0x10e711a6,
+    0x47ac81fe, 0xc1c15597, 0x22d52bec, 0x8cbd3dbb, 0x68b48a1f, 0xe66bcc32, 0x75f42409, 0x0687f17d,
+    0x71d7e768, 0xe6b993f6, 0xb4d0e814, 0xca521187, 0xf7f170af, 0x194450ce, 0x47d517f8, 0x12cf611e,
+    0xd57e6416, 0x87ba3f8e, 0xcf3a0ed3, 0xf86e3feb, 0x16c3adf3, 0x92050aa0, 0xc30efb52, 0x408fcdf0,
+    0x02197083, 0xb1733d18, 0xc8a844bb, 0x3eda4889, 0x034d48d0, 0x31b062ca, 0xbedfd326, 0xef341e6a,
+    0x32694f76, 0xf3669296, 0x354220ef, 0x628f259c, 0x9b88cafc, 0x46d665d0, 0xae2b90f7, 0x505301bd,
+    0x1811e8e2, 0x223fbd67, 0xeef88ba4, 0x2639ba13, 0xd6e15c34, 0x6532fc2c, 0x88396530, 0xfd711958,
+    0x176e521c, 0xe5d6128a, 0x7c322c9c, 0x7e1c2dc7, 0x45fe3247, 0x2c62459d, 0x2ff4c20f, 0x8a8261b7,
+    0xa54488aa, 0xf2b5cd0a, 0x200cdca3, 0xf6955cf3, 0x91a6e13a, 0x94fdf289, 0x9b3e94ff, 0x57df9987,
+    0x46cf0135, 0xed7d0870, 0xff8ca820, 0xc3b4ca0b, 0x48c4a0ba, 0x9630f701, 0x44dcc460, 0x9607648c,
+    0xf3c8471d, 0x130db6c5, 0xf7d47586, 0x293c4ff8, 0x45f7ef9e, 0x8c49686b, 0x0fa4de2c, 0x1edff0c6,
+    0x12d45ec0, 0xaee4ef57, 0xa3480aaf, 0xd5cd9114, 0x1df78dba, 0xe036229a, 0xf92b1961, 0x9f162ddb,
+    0x45c66895, 0x2861e401, 0x65650808, 0x6e04b5d4, 0x1d0d121a, 0x1e1d8341, 0xc456436b, 0x50dda965,
+    0xd4c0a37f, 0x50413267, 0x581a12fe, 0xd397cd73, 0x06a805d9, 0x0554a741, 0x5f7052cc, 0x87391cbe,
+    0xfeaf7cb9, 0x62cfe850, 0x94d85f21, 0xc14641c4, 0xc7616b35, 0x726dd92b, 0x1f57170a, 0x0a0f8473,
+    0x7ee655d1, 0x19730b8a, 0x64da7209, 0xa6a4bc0a, 0x56c47dfc, 0x276fb9b1, 0x1c05aa55, 0x7653fcb6,
+    0x47f47451, 0x8d2724b8, 0x807b5b49, 0x929e9c43, 0xf1fa63c6, 0xc8208112, 0x83323c3b, 0xed1e5979,
+    0x84033139, 0xbadd15d7, 0x74baa5bb, 0x3d24a68f, 0x4984def3, 0xd9123c8a, 0xf51967fa, 0xe0f42fb6,
+    0xf0a58f8f, 0xf4e0d035, 0xa6224353, 0x07b87383, 0xd8f6cfcf, 0xe99df1ee, 0x53d73b69, 0xab4c8231,
+    0xd1c1918b, 0xb8deea8b, 0xf1740dbe, 0xcc32059d, 0x33dc6031, 0xa7f4b8a5, 0x183877bc, 0xb8ced61a,
+    0xc2d8b54c, 0x2a820a97, 0x9aa87ef4, 0x35da485e, 0xd259b0d5, 0xcc85fdeb, 0xd6cec17a, 0xd7c96b75,
+    0xc42bca5c, 0x162d6043, 0xd6dafd1d, 0x67ed6b39, 0xb299418f, 0xd047847b, 0x952965d8, 0xfab4cb07,
+    0x175bbe38, 0x2c353fd4, 0x002fd3fe, 0x8e5badb6, 0x7640ecfb, 0xf291d2e2, 0x6f314c3c, 0x3c1f3ebf,
+    0xda5b4f9e, 0x4f2ff006, 0x624737a2, 0x78d27687, 0x89ff5eb0, 0x3055c53c, 0x129244f1, 0xd25913d1,
+    0x3381a66f, 0xa2ba7fbe, 0xc8dd87bd, 0xa91f35be, 0x299b105e, 0x5e3ada71, 0xbb687287, 0xfe9b385d,
+    0x4cf1abbc, 0x3bac9c0b, 0x95ff486d, 0x59e96427, 0x1794fcb0, 0x5e05cd01, 0x978fa1c1, 0x96b37a3d,
+    0x5c976872, 0x78fee58e, 0x7dd63e69, 0x83deca17, 0x5895a704, 0x075dacf6, 0xc83f0e93, 0x809d9b18,
+    0x121ed067, 0x4b6f5109, 0xe9c727ac, 0x6b94552e, 0x4734c950, 0xfe70afcf, 0xbd4cb803, 0xf2f26342,
+    0x973a1335, 0x9a0d827a, 0x718e2de2, 0x8cff0d56, 0x50ce6aab, 0x5e2b9506, 0x35269dca, 0x1d97000e,
+    0xecc8f4bd, 0xe46cfe01, 0x65dbae41, 0x9d538195, 0xd52a11dd, 0xbb6c7977, 0x55011e83, 0x60e051ea,
+    0xf33b698a, 0x2efd32e9, 0xe4623c06, 0xcabc140b, 0xc22ed05c, 0xd02ae414, 0x205edc9f, 0x0cce4e7f,
+    0xae8fe7b6, 0x2251b93b, 0xd297ac4d, 0x84e71ca3, 0x61f6576e, 0xcd81d0f1, 0xcb4bc418, 0x92d0f114,
+    0x1c6b9025, 0xa76ef603, 0x2ab04602, 0xdef5b7b8, 0x8b3c32ab, 0x29e580ca, 0x8f363035, 0x48995eba,
+    0xceca5a2f, 0xdc18d93a, 0x51b8bfce, 0x87c43c26, 0x626033ec, 0x4ea422ab, 0xfbd0203d, 0xb31fb19a,
+    0x6ec86dc9, 0xb8c3b9b7, 0x3aaedb13, 0x73329d35, 0x2b219d78, 0x08c260bf, 0x65f61b4f, 0x80d88f53,
+    0x0e6a7f8e, 0x5511d7b7, 0xb5649a5b, 0x14bd821c, 0xe20b00e6, 0x2c0e07f5, 0xb334aa4e, 0xd64dee5f,
+    0x4834d536, 0x6ed78557, 0xf53bec2a, 0x43acd114, 0x5a231356, 0x3dd68a6e, 0xf980e7b6, 0x6de753cb,
+    0x9932b624, 0x0c618a06, 0x1f785c42, 0x1e88eef1, 0x66fb1817, 0x933dc386, 0xbdbc49f9, 0x4d4c7655,
+    0x1d0202a0, 0x8962f424, 0xc40d4e20, 0x50f3155c, 0xc8e4a9a7, 0x32f48795, 0x50208158, 0x7a3445e4,
+    0x6f9e8e25, 0xcc9fb29e, 0xacf851ea, 0xcc738792, 0x4715bda3, 0xf2e691b3, 0xf9e14af4, 0xeb6bbb97,
+    0xae99c05e, 0x36cce3ff, 0x1b102eeb, 0x6b829238, 0x1823bb3a, 0xbc4f7cff, 0x9a7ff876, 0x8d944455,
+    0xd4d5481b, 0x442dc671, 0xff173b94, 0x3a36d411, 0x04c51139, 0x1ec30565, 0x93f935e4, 0x040724f8,
+    0xba958e08, 0x9f073c8a, 0x88f3315c, 0x98bf41c8, 0x3546fbac, 0x6dae0b40, 0x8bcc5e92, 0xc5308259,
+    0xe69e1303, 0xdd116160, 0x21bd6224, 0x6461996a, 0x1fad558b, 0xa307dda2, 0x1209a4de, 0xcd42749e,
+    0xde084c2f, 0x1f91afff, 0x96ce3be5, 0xfe356276, 0x20ed97c7, 0xdd7725d1, 0x85689a61, 0x325d3ed7,
+    0x433af9ca, 0x773a9e27, 0xa8bf2459, 0x1ef15511, 0x28d7ea50, 0xb78267d9, 0xd437b5e7, 0xb7170881,
+    0x030e8508, 0x45348454, 0x6a32e658, 0x2b0f1e73, 0xcc580423, 0x2c5eda67, 0x2c875043, 0x530725e2,
+    0x7c396bf8, 0xb8ac8c82, 0xda4e56e0, 0x1199e40f, 0x97c1bb39, 0x9d708d1a, 0x4e26823e, 0x7538bed2,
+    0x145583aa, 0x6449e37a, 0x64f0dad8, 0x39defb7a, 0x7ae8ce65, 0x40e1a4da, 0x05805ab5, 0x6d4536ef,
+    0xbf4cd9ee, 0xdf9678a9, 0x3c6fde9d, 0x33fb4704, 0x4445e60a, 0xf9b4d83a, 0xf8d93f0f, 0x2093968e,
+    0x56cc3e8f, 0xa698d331, 0x368b6ad5, 0x96251dd5, 0xc5f616c2, 0xf3625f34, 0xd9ab2f0f, 0xe8a60d9d,
+    0x3356679b, 0xa9531afe, 0xb7f1d684, 0xe092805e, 0x6bbe4caf, 0x95b2a8c5, 0x2b70b66e, 0x7d8856e1,
+    0x460f2cdc, 0xa9b81656, 0xcd13c479, 0xd3cd10bb, 0x4ea03f62, 0x5eca234a, 0x709ece39, 0xf3295b43,
+    0xca546b9b, 0x1b358156, 0xb9fdba99, 0x6d85692d, 0xd8e0a537, 0xd77cc9d4, 0xcfebc074, 0x56bd9ea8,
+    0xfe21bada, 0xf791c8ce, 0xa9b5d770, 0x51fe3f89, 0xf3235830, 0xb39a80b6, 0x3f33fab7, 0xbd54a41d,
+    0xb0efdf52, 0x7d9c1089, 0x2eaa224d, 0xd61b1b28, 0x07c035fd, 0xf4a11d9b, 0xbf1a4f2a, 0x9710ed83,
+    0x00000000,
+    0xa9bfbe8b, 0x2958b724, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000220855883097298041197912187592864814478435487109452369765200775161577472 */
+  { 0x00000000,
+    0x9cefbe1b, 0xb2b4e33e, 0x08b5d920, 0x2e35ac4e, 0xac61d309, 0xc1216c70, 0xcf4cbe87, 0xafa35874,
+    0x83542207, 0x64e7ab7b, 0x803c4ff6, 0xe3d81531, 0x385b62eb, 0xf0b46ecd, 0x97b2f2ef, 0xa4c78c26,
+    0xbc658ac6, 0x73ac131c, 0xa7dafc30, 0x375bf42a, 0x045959a8, 0x77085765, 0x29c09f7b, 0x402e287c,
+    0xabd2b226, 0x9953efe5, 0x6322c090, 0xc55809cd, 0xc43b86fe, 0xa249d9e1, 0xa0b41c24, 0x57a9ce03,
+    0x410fdc48, 0x07b5264e, 0x1eecba81, 0x336675bc, 0x19f2b9d7, 0xd3b3e669, 0xc21134ac, 0x91a1541b,
+    0xf68e1e6d, 0x4ead3447, 0xc11c657e, 0x247197d9, 0xe9d4ee51, 0xbbdaedb1, 0x1cd00cf1, 0x8564f8f4,
+    0xea14fac0, 0xa63ab0e3, 0x641727a0, 0x21af7231, 0x0a4e7e2e, 0x837ace45, 0xcbb17cfb, 0x73b912b7,
+    0x857de295, 0x7e4dc1e8, 0x17d2e97d, 0x48aea378, 0x5fba2b7b, 0xf82c3a74, 0x57ca3278, 0xa9f0b8a0,
+    0x3e0a2c11, 0x0ff1ab89, 0x1062f0f8, 0x65ab1093, 0x39de4bb5, 0xe9bca9ed, 0x1ebe387e, 0xb8ec0b2c,
+    0xee5a94cd, 0x1a3160c5, 0x207742ae, 0x15aa6dd2, 0x356ddbca, 0x73cd349c, 0xa2a9d7c8, 0xfe4b3ef0,
+    0xc9c534cd, 0xe01df679, 0x488d0cc9, 0xae3d60c2, 0xa2749d8c, 0xc5e0f5f0, 0x946280bb, 0x765ffe82,
+    0xa9bb4d42, 0xa8a045a7, 0x838709e6, 0x13115aa5, 0x5b845589, 0x4130c213, 0x44e5cead, 0x410e82e9,
+    0x9e4d8f3e, 0x226c787e, 0xb67b7c7f, 0x48d546a3, 0x320bcf19, 0x1258bd70, 0x95de161b, 0xa163a290,
+    0x56f39a8f, 0x74c7463f, 0xeb90ef81, 0x13bcdf1a, 0x3c544da8, 0x7613f604, 0x18d3854d, 0x9a5da75a,
+    0x8c38478c, 0x281925cb, 0xbe06a2a0, 0x8da17b54, 0x80d20350, 0x583e85c5, 0x01865d7c, 0x085cee7d,
+    0x556c4da8, 0xa3d5b0be, 0x4430fcd7, 0xe108243a, 0xba8781b9, 0x38525ec0, 0x567a1046, 0x3d76cfe2,
+    0x4bcbfbb9, 0x51bd8639, 0xb4a3d01a, 0x101b91d7, 0xea3e61d1, 0xbf654222, 0x6230f95f, 0x7959797c,
+    0xea999382, 0x603ccdb1, 0xa2e20ec4, 0xc5ae4bb4, 0x7b9726b2, 0xe336e7e3, 0x71b38764, 0xa917ff1e,
+    0x6e7b826d, 0x37532f67, 0x0340fe62, 0x15df26c4, 0xc9f6363c, 0x67f68232, 0x2e936619, 0x554072f5,
+    0x47ede956, 0x6c69af17, 0xa5813762, 0xc3867dfd, 0xa66487d6, 0xdabb1dbe, 0xeef90cc6, 0x3bddc1b7,
+    0x65c734a8, 0xfbc32bf1, 0x5712b8f4, 0x51fb39be, 0xd94d9132, 0x5c4fc8e9, 0x3a3ab3c5, 0xfb024f78,
+    0x9bc2183a, 0x47ff1f17, 0x13cee2f5, 0x5e6c14f8, 0x60fa1a5b, 0x2978f607, 0xbc23f86e, 0xc1501844,
+    0x3548d431, 0x5774ef92, 0xb915c54a, 0x221a5a53, 0x4eb74813, 0xa04f1e27, 0x82d41618, 0xba9f83e8,
+    0xf5c30409, 0x293443d7, 0x4b6b1485, 0x8dda784b, 0xacfa2ca8, 0x94d9041f, 0xf76e5660, 0x7f298ff0,
+    0xb36fac42, 0x57010c69, 0x12c753e2, 0x3c68fb21, 0x1cdc4277, 0x9e5fffb2, 0x7e541366, 0x5fd44f9c,
+    0x7121ab10, 0xeeadf26f, 0x05fe4981, 0xd7f7657e, 0x05bdd5ef, 0xfe91194e, 0x2da96385, 0x482fa07d,
+    0x5b3481c9, 0xe7289e56, 0x893513fa, 0x4355b8eb, 0x477c83d3, 0xa8d5b039, 0x696feed7, 0x48a50294,
+    0xfe3295cb, 0x3f44f081, 0x8b47afd7, 0xf33e27c1, 0xb976c9ce, 0xb95aa543, 0x95377d0c, 0x88695fef,
+    0x799a3b37, 0xcfabd94f, 0x4e4634e1, 0x26190679, 0xb28bd6d2, 0x5cf6389e, 0xaee5e814, 0xf8372429,
+    0x91d09d81, 0x753d7d72, 0xe054fbc2, 0x3bd967d1, 0x0ffa4e8b, 0x20a5f7d3, 0xb7f8da07, 0xfb462de3,
+    0x9d0083ae, 0xa785bd16, 0x7d989d4e, 0x49e21ec5, 0x6c20f97e, 0xef8f266a, 0x14e336df, 0xe23bb89f,
+    0x237ce8f3, 0x83e500d0, 0x3281b88f, 0xa3f98c90, 0x20ca1661, 0x240767dd, 0x39b0b8b2, 0x61b1a81d,
+    0xb06e6020, 0x295ffb75, 0x63b21f31, 0xd81baa8b, 0x4222f494, 0x3a60a7fe, 0x063ea1d3, 0x986433bd,
+    0x694faba9, 0x00277c92, 0xd2254fc1, 0x458332ad, 0x69645201, 0x893c6cf0, 0x9341b04e, 0x84789545,
+    0x0d5d0ee8, 0x80501c17, 0x4ecf455b, 0x8d40f749, 0xfef9929a, 0x951330cb, 0x27bd4f41, 0xa2703697,
+    0x24ec6390, 0x5cf11915, 0x7d47b9e4, 0xc8e08ee3, 0x176a0122, 0xe50d8539, 0xc4ff0596, 0xb5e9803b,
+    0x8bf4d8c8, 0xfb0332d6, 0xa6d06b7c, 0xa096880a, 0x7a48b933, 0x31f53dbb, 0xaa9a83d7, 0xc862282b,
+    0x58aa0d42, 0xe87b7baf, 0xd8492403, 0x12b90e5e, 0xe3771955, 0xdcbf6cd0, 0x18dcde91, 0x480c90cf,
+    0xe9c230d2, 0xe55fadf1, 0xf6ac04ef, 0xc9536b43, 0x6422c119, 0x41aa28b3, 0x27b4b4f1, 0xfe3bf3be,
+    0x10870d49, 0x051b4ee6, 0x0fa0b2aa, 0x97844e30, 0xf6ea848a, 0x33c98d9e, 0xb5e483f5, 0xb0583f6b,
+    0xf789cf9f, 0xa324c4db, 0x53af3bac, 0x72339549, 0x062c7548, 0x885d9e2b, 0x59107428, 0xec0b8806,
+    0x4cfb91b1, 0x8a0d9e1a, 0x31012a03, 0x227de7f5, 0x26bc5261, 0xadd481f6, 0x9532d9cc, 0xd7334a6a,
+    0x67371b41, 0x0649cc92, 0x54ed15f8, 0xb6f3d499, 0x54014699, 0xd19d82b0, 0x6e3904e3, 0xc2184cdd,
+    0x69333f57, 0x56b6f0f3, 0x8c2c5ef8, 0x5c5f5da8, 0x9d8dcbc2, 0x5177bd91, 0xe25e7836, 0xfa03d076,
+    0x61ee9453, 0x0fe4c871, 0x1665eae4, 0xa465cb17, 0x38438e68, 0x75df2c52, 0xf50e09e5, 0xa7f0e745,
+    0x4123db2a, 0x8e2fbfe9, 0xf9024732, 0x15a291ce, 0x3bb1f5bc, 0xbde01866, 0x2590e72f, 0x5b49df5f,
+    0xd47586e1, 0xc0ae7795, 0xafb0c1a4, 0xd505c011, 0x3f137e8f, 0xf21f6757, 0xd6157ab6, 0xf5d428bd,
+    0x792380c0, 0x48c98de0, 0xf7b8b1b1, 0xdac7c0cd, 0x6de15f51, 0x2111c87c, 0x207443ee, 0xc29e4a24,
+    0x07557194, 0x177436ab, 0xd62dda5c, 0xca3c0a5c, 0xf41c7712, 0x7d0cd841, 0x4bc333a1, 0x296729e2,
+    0x54d5665d, 0x79bd5576, 0x50dc806f, 0xa1b2d29c, 0x069dd30d, 0x70583922, 0x16172eb9, 0xce545f5a,
+    0x903b1a50, 0x80c1917c, 0x89b4c791, 0xa863695e, 0x6791e978, 0x551d15ee, 0xe4b3cc8d, 0x67aff878,
+    0x3c9ded22, 0x309bf476, 0x28d9607c, 0x12c8b11e, 0x3240f19e, 0xac67fee3, 0x876b9388, 0x833102d3,
+    0x3dc7e337, 0x646a964b, 0x4fc86d29, 0x0d0c0294, 0xe4f684bf, 0xef1b89d7, 0xd5056bba, 0x6ad02a8e,
+    0xed0f922e, 0x64ce9aa0, 0x7f1ef3ae, 0xf3f2cc0b, 0xe970d4de, 0xd3fd153a, 0x0288803f, 0x5ed5a82a,
+    0xe647ac14, 0x2d9b9f35, 0x72bd45ab, 0x3aa9800c, 0xaeeaf5e2, 0x784f973f, 0xe168c250, 0x71a82125,
+    0xc81702e6, 0x2f6aa9d1, 0x7269e447, 0x1420b86e, 0xe312d97e, 0xad4b65fa, 0x9dad424b, 0x0575af7f,
+    0x1781cf5f, 0xaaebe904, 0xab145501, 0x506eedc9, 0xb8d5d48b, 0xe7b8825c, 0x75c6f31f, 0x39bdc237,
+    0xdf090a88, 0x77b0e1b0, 0xdcc084d6, 0xe8eb2b99, 0xadd3e7c9, 0x307a9998, 0xb01043cc, 0x9f86e791,
+    0x75ebd9f1, 0xc50ea52a, 0x4d662c14, 0xe00fbc2f, 0xb5ad242d, 0x62d454c1, 0x18088d25, 0xc62746ad,
+    0x170f7a52, 0x5a6d378d, 0x654e15a6, 0xb261a33b, 0x9f5d0fbf, 0x7d373fa6, 0x7baba0e8, 0x856416ac,
+    0xd8efde0a, 0xa06eaa9b, 0x8e198518, 0xb35e1917, 0xb8574540, 0x9adad753, 0x86c4d7c4, 0xf4fdcc4c,
+    0xeaef603f, 0x8ecf109f, 0x9a32550f, 0xf2744f5c, 0xb88176ab, 0x8857d3b2, 0x5b55d7b9, 0xa4bafcbe,
+    0x79b5ee48, 0xe2682f7e, 0x65178c1d, 0x1ca61635, 0x6094edfe, 0x84194835, 0x1217c53a, 0xb0c302e5,
+    0x4266c917, 0x172724c5, 0x9c8c1334, 0x699d1a01, 0x6fe8d631, 0x328c9c8e, 0x202f681c, 0x4f7c1532,
+    0xa2b1355b, 0xcc7d3154, 0x28a1905f, 0x48978363, 0x9314fa0f, 0xeaf7a623, 0x8e540579, 0xfdb16346,
+    0x6c3b0979, 0x03e22a70, 0x72932a18, 0x31e2c386, 0x5ab5c132, 0x4afa2de9, 0x7f0e1bb3, 0x16f0fd0c,
+    0x2868ee48, 0xf99e3f15, 0xda8b2a34, 0x11b407f0, 0x2fe32ffc, 0xa9ec7010, 0x98f21753, 0x1f6e664d,
+    0xb9df3019, 0x7321c463, 0x36d6c773, 0x84dadf3d, 0x728b324f, 0xb65a3427, 0x980f4711, 0xa1ff2b6f,
+    0x7c79286d, 0xd948d23b, 0xedde50bc, 0x1d3e2baa, 0xd7f79569, 0xa01bdeb9, 0x5e4832c7, 0x68231829,
+    0xd75abe78, 0xad40264f, 0x1b141418, 0x9b8142bc, 0xcc9d25ad, 0x17aca499, 0xd5246c1a, 0x87ac2276,
+    0x2af31c69, 0xed2a0e7a, 0x1b0f6b59, 0x4ed8085d, 0x656a718e, 0x38eaec10, 0x88342185, 0x92df1d41,
+    0x2f7429f0, 0x3f58c560, 0x5473c16d, 0x15146572, 0x035bf59c, 0xf551fa4c, 0xd528a2e2, 0x9a5dc3ee,
+    0xe7bb0e20, 0xfa17fe42, 0x65b18158, 0xfcf2c97e, 0xa1c37104, 0xb800be8f, 0xa7d70414, 0x892e9926,
+    0xa9a9bb20, 0x3af16d1d, 0x6affcea9, 0xedd1d609, 0x96d5bf56, 0x4f51ebe0, 0x8b8127f6, 0x82752169,
+    0xae17f803, 0x13f92d6f, 0xa6f97cd2, 0x454a01f1, 0x382d6382, 0x89923785, 0xd26ff7d0, 0xc3f6d8dd,
+    0x4acb65ba, 0xd63cbdfa, 0x27b8c5f7, 0xf8fc73d5, 0xd892f235, 0x391069c0, 0x7a900522, 0xe833d6ad,
+    0x853289af, 0x590d34dc, 0x0693db20, 0x24374e61, 0xacb28868, 0x6c111dae, 0x2450b461, 0xfc77731c,
+    0x22494ca5, 0x75385b21, 0x50c7517c, 0x86266098, 0xae293c38, 0xe6a1c5e4, 0xf11d192b, 0xa2412186,
+    0x32400714, 0xe9b7ba79, 0xa3f107b9, 0xb50d487e, 0x5a5d7e2b, 0xb7c680e9, 0x18b4fff1, 0xd7f50747,
+    0x5213b846, 0xe68585bb, 0x4767d966, 0x6fd79d2e, 0x2821741b, 0xa635f6ce, 0xbff01502, 0x0fa32ccb,
+    0xc91e06f9, 0x0afe7a93, 0xbc1706bb, 0x27864b9f, 0x14e41d07, 0x0cf26113, 0xe1dc6f6b, 0x5e2a1cf7,
+    0xbac8d548, 0xffcbe1cc, 0x18498256, 0xc603261b, 0xe4c0505c, 0x669405c5, 0x13e38514, 0x044de71c,
+    0x7bfba094, 0xb64aadbc, 0x960e5d74, 0x7db864f7, 0x2b3038af, 0xd810f62b, 0x61b97598, 0xef3f391d,
+    0xf116ccc4, 0xd8ceeedb, 0xe2ddfeb3, 0x749fd91c, 0x73891df2, 0x249cfb8a, 0x670d4962, 0x008382b1,
+    0x57e9c929, 0x7131e8e0, 0x0b629d1d, 0xeda0a082, 0xca4bda19, 0x35966995, 0x8395a187, 0x75a35f10,
+    0xd4663b84, 0xab205956, 0xa1952c8f, 0xa31eb873, 0x5fbf1a7a, 0xf97cec8d, 0xae54ce67, 0x48faefe3,
+    0x1a97734c, 0x75e1d5fd, 0x66346188, 0x6dea87fb, 0xcd16b8eb, 0xe881c5d9, 0xf8539a3c, 0x0adf7a6b,
+    0x3784526f, 0x41068b59, 0xb1e25c96, 0x7499e7e1, 0xfe2632d8, 0x677b261d, 0x73214d78, 0x99e6a968,
+    0x1b45de1a, 0x5c4eb705, 0xb730fff4, 0x551b87d8, 0x9d8778d4, 0xcdecb3bc, 0x8d013602, 0x27552214,
+    0x56bf9a18, 0x7e3c62df, 0x72b4b0b3, 0x0faee0d5, 0xff98b43f, 0x6c3dd4a4, 0xbdc45907, 0x4b3fa026,
+    0xb450bfd8, 0xd58bdfcb, 0x3519641b, 0x92591ec1, 0xdcda1165, 0xf31609c1, 0x1538cc0d, 0x23b88e05,
+    0x06889e38, 0x9c7afebc, 0x9625e4cb, 0xf5734745, 0xbf9fd5b4, 0x8dd86924, 0x2f4b63a4, 0x04a52038,
+    0x67e3be22, 0x26efdeef, 0x22dad7fb, 0x3a2e6f95, 0x64c74bcf, 0x95f7d0ff, 0x96cfe2bc, 0x4e78f088,
+    0xcb6b6ea8, 0xb17352c1, 0xe6b23c69, 0x7b7be9ad, 0x06e17448, 0xa890730f, 0x9b1e7020, 0x8175f0ed,
+    0xf1000c5b, 0x852698db, 0xf7f1cc12, 0x276cfee4, 0xfdcb9b21, 0x5f1a703b, 0xb5412fca, 0x1cb43258,
+    0x26d33f42, 0x8e712a2a, 0x1daf2929, 0x4e4d0189, 0xf7c621e7, 0x9a65e016, 0x9e3b043b, 0x8e3442fb,
+    0x270258ee, 0xd0ccbe65, 0x91662287, 0x5f7616e7, 0xa5497d79, 0x8f47be8c, 0xa0f5b1a5, 0x5c01bb08,
+    0x2a535c70, 0x602336ed, 0xe836b97d, 0x6461af8a, 0x191adb31, 0xaf14d281, 0xc90ed168, 0x19074af4,
+    0xa3e7734b, 0x3434ddac, 0x2af81bc8, 0x04679dac, 0x59b4945c, 0x4cc63cd0, 0xe273f22c, 0x7cc0519e,
+    0xcff4634f, 0xbf4713c5, 0xc3c3b620, 0xc7c1954a, 0xee9076cd, 0x4cf796e6, 0xefbccef3, 0x3a9fcf4e,
+    0x8fa54312, 0x89af16c3, 0x1f233149, 0xaac4666c, 0xcf190ec3, 0xc7c38ab9, 0x90067b91, 0x7278d694,
+    0xb69cbcb2, 0xc83da0ad, 0x515a201b, 0x4fa675f5, 0xce093835, 0xf9d97cae, 0x844b9f5c, 0x6180f93c,
+    0x9001d2e9, 0x702d9579, 0x5299822f, 0xe8583792, 0x5302af1c, 0x05fa6393, 0xec1952f2, 0x7ed25cbe,
+    0x6934e1dc, 0x71f9ee54, 0x54874dc0, 0x2385bcc3, 0x8b97e0a2, 0x4618ad7f, 0xa4c69511, 0x96e532c9,
+    0x25faef61, 0x2ad8b041, 0xe373b678, 0xd5a7652c, 0x8832b7ef, 0x621a5bf0, 0xe55794f2, 0xf952eed6,
+    0xc47f7372, 0x341aa643, 0x77677c79, 0xd4240331, 0x01fa8760, 0xf919342e, 0x9d2a460a, 0xe3285b78,
+    0x080c8e6b, 0x68bb715a, 0x2d517057, 0xce3f2503, 0xf0f6e77f, 0x59149741, 0xf664830e, 0x0da2c65e,
+    0x0f86eae0, 0x2be05c9c, 0x457ebb91, 0x7163d807, 0xecf31cb8, 0x5fdf2033, 0x048428a2, 0x1394542b,
+    0x17fc22a5, 0x9188b917, 0xeab0c8d0, 0xb84972d6, 0xcaa1b6e6, 0x933aed31, 0x34ef4a05, 0xfb07fb1f,
+    0x338aae50, 0xa1fd21c0, 0x8f30e8af, 0x9fce2330, 0x960dba56, 0x3aadf0dc, 0x4ee9faa5, 0x0f36b0af,
+    0x9ff38136, 0x1d2f8edd, 0x7f80b3ff, 0x358caee6, 0xf9676ec4, 0x83ad0c92, 0xe0b32ffa, 0x7650d552,
+    0x0510eef2, 0xeba2207e, 0x079fffb0, 0x2921909d, 0x9876881e, 0xd7b2206c, 0xf360bfed, 0xfb45e817,
+    0x91e0bed8, 0xf3ee5dc0, 0xff9aa603, 0xb8567bb7, 0x7e38205d, 0xd1461b43, 0x46bccd61, 0x3ac0d00b,
+    0xc28396a5, 0xb4799570, 0x02d52c91, 0x465192ea, 0x19dc7b2e, 0xd0f61c46, 0x0168c29a, 0x85e77dc2,
+    0x7ebfb18f, 0x5a483c0e, 0x55712363, 0xffd4bacc, 0x0d269579, 0xdbe81058, 0x886110b5, 0x47d397a2,
+    0xa500e05f, 0x9a269750, 0x894379b0, 0x7a708e6c, 0x354b4ece, 0x83db2431, 0xef85bf03, 0x6c68af4f,
+    0x234885fe, 0x4c86855b, 0xe54d6757, 0xb0e5763a, 0x440333b7, 0xdced9e9f, 0xfca050b1, 0xc49fd61c,
+    0x8b465067, 0x6c3c2135, 0x105aa062, 0x62a12748, 0x63186a32, 0xcd5cef9a, 0xbd4bd37f, 0x53121473,
+    0x9f72c5ae, 0x64cc0b9b, 0xe28f8370, 0x4094e1e3, 0xcd490969, 0x49c2ee37, 0xb36d2e7a, 0x457660c9,
+    0x578d1232, 0x7dea154d, 0x221bffe8, 0xc4d7d28d, 0x5609168e, 0xcf9e1efd, 0x8ddd8824, 0xca102caf,
+    0x48a9cf04, 0x1bc42724, 0x06638354, 0x05cf52a1, 0x560ead7f, 0x9907c098, 0xb5f687fb, 0x166b4571,
+    0x7fb49ce6, 0xe8fb9a6f, 0x5151c687, 0xb393fb12, 0xcbce3bd2, 0x8c3460cf, 0x52eb562f, 0x7202be40,
+    0xd1b8dcc0, 0xaad2cb2d, 0x82868e47, 0xfbdafcd4, 0x4e7fe834, 0x266907fe, 0xc175abc8, 0x78af649c,
+    0x4a902566, 0xd2571997, 0xc8dc52db, 0x992b1401, 0x2a5b24c2, 0x9ddc8161, 0xfe116070, 0xc6c9a37c,
+    0xd2c9054c, 0x9282f69f, 0x712a9f77, 0x9ddc6f4f, 0x1050b0a4, 0xff7abc54, 0x9ceb58a1, 0x92e4d514,
+    0xb7f0fadd, 0xd5194604, 0xb5a96d90, 0xc07b97bb, 0x457dae6b, 0x380f76d4, 0xc727f4a9, 0x8b0e3cbe,
+    0x00000000,
+    0x54dfdf45, 0x14ac5b92, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000110427941548649020598956093796432407239217743554726184882600387580788736 */
+  { 0x00000000,
+    0x771b342d, 0xeb87342b, 0x92b48ed3, 0x4da0f6b8, 0x56c621fb, 0xa1a6a3d4, 0xeee9108d, 0x034ee815,
+    0x190602a2, 0x6058fa74, 0x7941a4cc, 0x787c9c83, 0xae3158e1, 0xf0aea89f, 0x00c50575, 0x90559755,
+    0xca0a2d95, 0x7f4c32a5, 0x69d7a9c1, 0xb2ed2e8e, 0x61192c8a, 0x384d3c0d, 0xb1682256, 0xb5e4f8ba,
+    0xb4542901, 0xcf0eab56, 0x374e13dd, 0x0293ecf2, 0x7c2f4b8f, 0x06b67f43, 0x367f9712, 0xe2ba6e1b,
+    0x76ae691e, 0x8ccd7d48, 0x0349144f, 0x2f6f66aa, 0x8639c2c3, 0x8101ab90, 0xa7265fe0, 0x0ab8f303,
+    0x32adc332, 0x891a1534, 0xdc01ebf5, 0xb0b4589b, 0x0e72863f, 0x1b047684, 0x4cc9d0e9, 0x9cc164b0,
+    0xd50abdbb, 0x70c14e2c, 0xa702194d, 0x31d90521, 0x2c95833c, 0xd707f956, 0x9cfe7c60, 0x62b895dd,
+    0x95284ab4, 0x78d1340f, 0x3c8fa8a3, 0xbc3afc3c, 0x7ad283fb, 0xee174363, 0x4795bf07, 0xded99002,
+    0x2bd4cbfa, 0xc29ecc45, 0x193976e2, 0x305b53cd, 0xe955205b, 0xf9ff5c32, 0xb41578a6, 0x94d7e2af,
+    0x5840e727, 0x37d8295c, 0x6b6a5a8c, 0x5bebed13, 0xda589600, 0x36ab347d, 0x5b38430d, 0xbd342891,
+    0x6c8dc0e0, 0xe01e82a0, 0xe25c48fc, 0x6f03cd4e, 0x8fec48da, 0x9c91370c, 0x2975b5d1, 0x4e905cf6,
+    0xb236988c, 0x2c3d4da0, 0xc46a049f, 0x9a66090e, 0x1857eac8, 0xf3c680ea, 0x9d37b917, 0xaffc16ca,
+    0x864447e9, 0xfbc78700, 0x8a62a547, 0x364168b8, 0x23953d08, 0x22b78dac, 0x0268cb28, 0xc865458d,
+    0xa62416b1, 0xb813f170, 0x3e35fc0d, 0x57df692d, 0x977d8fc3, 0xce62c0be, 0xce2b9ed8, 0x7bdea906,
+    0xdebf263e, 0xdc6a0175, 0xd91abfda, 0xe995afe8, 0xfbd77ca4, 0x4c69e62d, 0x75331d9f, 0x3f5c45b8,
+    0x99262593, 0xfcd1a375, 0x77c22263, 0xefec8fb8, 0xae785118, 0x4df149e0, 0x7533fd6f, 0x626273ac,
+    0x16e9fd5e, 0x23bbd8cb, 0x2868184d, 0x17045173, 0xa9ec7c8c, 0x70201d7d, 0x6bee6e8a, 0x6b25761e,
+    0x0c60825b, 0x0cb33ae7, 0x0bd1d551, 0x19ed8fb7, 0xb5e3fa71, 0x1e6d3b10, 0x550a7d3c, 0x1d576b0d,
+    0x52fbe093, 0x1cebb85e, 0x5724a017, 0x8bdf0eaf, 0xa5efd7dd, 0x87f4bdc7, 0xb2cf738e, 0xb3e9c8b0,
+    0x4a092b86, 0x6a242a86, 0xa7edb7a0, 0x1082cc81, 0x331aa3ca, 0xe84ae89f, 0x9423fe3c, 0xc7d198d0,
+    0xf49c80fa, 0x9b9756db, 0x8d23bdc8, 0x84bd86fc, 0xe5eb90e9, 0x34fd4d66, 0x186b1b89, 0xa13b2493,
+    0xd2d346db, 0xe723e3fe, 0x76012a53, 0x8445c579, 0x1dcf683d, 0x010a68fa, 0x4b4230f1, 0x66831012,
+    0x774dab42, 0x7a5ab517, 0x09b8c43b, 0x6203a7b2, 0x5e928770, 0x1d095c67, 0x873e1c7e, 0x7653e797,
+    0x82e5c33f, 0xb36333e0, 0xd41583ff, 0x8e3f7b53, 0xbe068ee2, 0xe7ca9528, 0xe29f8a76, 0xe322c800,
+    0x46abb5a3, 0x835bc7f8, 0xd98556e4, 0x8a03d50e, 0x8028812a, 0x88a8cc69, 0xd1af82c2, 0x0b5ce84d,
+    0x4ac4035c, 0xe4b88714, 0xe31004a8, 0x22991645, 0x2848f4a5, 0xf4142ddf, 0x11c8f432, 0xf4b1addb,
+    0x6a9e27fd, 0x2b4135c7, 0x98ef5687, 0x3900720f, 0x3ba2ef07, 0xd5b0913f, 0x89c25dc6, 0x1fb3d6ae,
+    0x22573900, 0xd2bb0b02, 0xa7905752, 0x25508cc2, 0xa1bde6bd, 0x63a5e291, 0x89c3fd6f, 0x8d5d723c,
+    0x36a4dfb4, 0xf9c31b71, 0x07d34b15, 0x73bb8a71, 0x7fafb584, 0x964b331b, 0xea67ff99, 0x6faa93c3,
+    0x16e74b12, 0xa1da8c0b, 0xb39d3fb1, 0x2261c5c4, 0x14414f42, 0x24f88ed3, 0xf5a9248f, 0xd33ed4fc,
+    0xc022a17f, 0xfc148d58, 0xe8a997ed, 0xa6c18fa4, 0x2a824a5e, 0xbede234d, 0x9c030cd3, 0x10f4012e,
+    0x4120c693, 0x45e7daf0, 0xc539fc7c, 0x102d5d4e, 0x802518df, 0xb40380b9, 0x52fc8711, 0x08fe619b,
+    0x135d91e6, 0x45b5c719, 0x64bc669e, 0xe5695711, 0x7875318b, 0x6c5ab16f, 0x4e92b817, 0x3401124b,
+    0x6dd36ceb, 0x87dab7da, 0x2122c91f, 0x9b949c7e, 0x4bdf9ccc, 0x79cb6bb9, 0x826ae02d, 0xdbf8a568,
+    0xe45e653a, 0x44355db6, 0xbdb37042, 0x2d89f1ec, 0xf14fb359, 0x2493bdf4, 0xf589607c, 0xe76a5340,
+    0xb7f0df14, 0xd6aa62ff, 0x115d0a57, 0x47e48fc8, 0xd479b4c5, 0x19809140, 0xe1bba59d, 0xefa24e5e,
+    0xccd2f513, 0x63f22433, 0x1e0baf1e, 0x3e15b41b, 0x06bf41a6, 0x145ca2a5, 0x5750fdef, 0x5adf8c9a,
+    0x1abe329f, 0x2736127a, 0x9b0d3d53, 0xeae5a0e0, 0x65a52aa9, 0xd9492771, 0x483a0e76, 0xee019e8e,
+    0xe64c31ac, 0x7bc6c2c4, 0xb5539f09, 0x23f87b41, 0xe5d2dbb6, 0x6785da00, 0xdde9cadb, 0xe604afff,
+    0x90357ce7, 0xdad15ef3, 0x0439d479, 0x55f6c37b, 0xde7a2d50, 0x8386270f, 0xa2be81ed, 0xd7ef40ed,
+    0xd3164691, 0x658c6838, 0x9077505b, 0x1493ff17, 0x2078a32d, 0x72cc239c, 0xb2408e75, 0xb88253ea,
+    0x7a849356, 0x7a5686df, 0xc2c51f8f, 0x164ecd9f, 0x88c4283a, 0x82d054ed, 0x5e626110, 0x9f9400d1,
+    0x9d128e0c, 0x77516edd, 0xbb062eb9, 0x330340fe, 0x6bce54e7, 0x5a1fe7de, 0xe8acdb2e, 0x2d8f2f81,
+    0xf2dea05e, 0xcd4c689a, 0xdb678ac8, 0x69dd9f40, 0x35a7bf8e, 0xcca7bd95, 0xa7fc55a2, 0x82dcd030,
+    0x571b3f92, 0xec0c181b, 0x1c8c6e58, 0x721c64ce, 0xe6f8dd50, 0x595f0a4f, 0xe14cdefb, 0x823e88a4,
+    0xa3ad5f3b, 0xeabe937a, 0x728caba5, 0x30e5cb1f, 0x2fb65b77, 0x6a26f301, 0x017cd097, 0xda566c2a,
+    0xfa2cae50, 0x7eb61aa8, 0x33780f4f, 0x142fe406, 0xcaf0f149, 0x546528f8, 0xedb2a822, 0x6901be2c,
+    0xe27cb691, 0xe26ad289, 0x3c934c0d, 0x9b6858e2, 0x55997401, 0x7d39b2c3, 0x89c43cd9, 0xd4ef8349,
+    0x8e6ea159, 0x5bfba3d5, 0x38de92d8, 0x0ba75cb6, 0x63ee0623, 0x76f7db6e, 0x4da2520f, 0x4d60f326,
+    0x081acbdd, 0x7771ed97, 0xffb2a4e7, 0xa95a12d9, 0x6356962a, 0xd4e7e6bb, 0x6b34bf76, 0x33f54933,
+    0xe31b3e59, 0x7e578fd0, 0x7942c2e9, 0x620a0c68, 0x9bae1d7e, 0x64d9c34b, 0x4e9d429b, 0x5a2b769d,
+    0xef61e8cd, 0x46c82bf3, 0x8b04315c, 0x03f6d9df, 0x9cee2deb, 0xef50436d, 0xb74709bf, 0xcabd51bd,
+    0xe83c5913, 0x964a90fe, 0x68ef4bb7, 0xfa382fbf, 0x8a0f04d2, 0x5b31f626, 0x0d75c14b, 0x32c01ff3,
+    0xc035fcce, 0xa51fb232, 0xa4478eb3, 0xbc40a7e5, 0x7de401d9, 0xc6fd1d49, 0xba9ace70, 0x2739a89c,
+    0x13db64e8, 0x9161b813, 0x214304f5, 0xe36fd27d, 0x0df82351, 0xf45375a6, 0xc50a92db, 0x7a6e6b68,
+    0x3674da5d, 0x86bd048c, 0x6b1c5f96, 0xf089f6d5, 0xeced9c94, 0xf9411001, 0x22cb1b44, 0x128b750b,
+    0x1c6f143f, 0x4a8c14fd, 0x67bf1791, 0x411b7072, 0x1a9d17e2, 0x27eade6f, 0xcd0c2d7f, 0xac8cecb3,
+    0x6a5a6502, 0x9f6fcfd7, 0x40380062, 0xee49900d, 0x750b9ebe, 0x62d29646, 0xed6a4158, 0xa8b2b7a7,
+    0x82da9cd6, 0x70f918e3, 0x8ad1dbc0, 0x383e2dbb, 0xeaca944f, 0x73885dc3, 0x9c40f782, 0xdd04a50b,
+    0xb1ba740b, 0x308be491, 0x972c08ee, 0x21659fd9, 0x1db50050, 0x2e9acfd1, 0xd94dfe0f, 0xc4bbaf4b,
+    0x59df0068, 0xb27aaa61, 0x14759d7a, 0x8085609b, 0xc01720ca, 0xe8cee12c, 0x0cdc1fd4, 0x37e4b658,
+    0x16102a97, 0xa7777fc0, 0xf230f4c8, 0xf961b3e9, 0x98ee7450, 0x0f59dabd, 0x4077112a, 0x3aecc11f,
+    0x213c72d2, 0xe01cfb19, 0xbbf2a2b3, 0xf597d6b6, 0x2b9ba904, 0xe0f1ff18, 0x48ad3626, 0xac3df34f,
+    0xbaf4ad88, 0x9bd5377a, 0x5b74769d, 0x164df9c5, 0x13deef94, 0x85a2f2af, 0x11582897, 0x0d652835,
+    0x3f116e04, 0xaedaa45a, 0xf0765770, 0xdf94620a, 0x8cc1c7b8, 0xec685e2d, 0xe705218d, 0xf29ad8e6,
+    0x4e06e7d1, 0x86de9098, 0xc15fac5f, 0xce8936c1, 0xcb401eea, 0xecaf070b, 0xd2e72d6c, 0x39875ee6,
+    0x994b4981, 0xbe3b571d, 0x9b21cdb1, 0xafb8c61e, 0x31158e73, 0x3bf0bbf2, 0xcece3479, 0xd787258e,
+    0xbe7e9944, 0x7709fdab, 0x704ffae1, 0x010ac97b, 0xe22028db, 0x7c10e668, 0x72ce20e2, 0xc7f423d1,
+    0x68caf209, 0x20a93e4c, 0x1ac8bcd5, 0x1e326aee, 0x061c41cd, 0xeeb5bbf3, 0x31c1faa7, 0x800118fe,
+    0xbdf2ef6e, 0xd47fdc4a, 0x39a80ed2, 0xbc549ac5, 0x768dcbaf, 0x15785d0a, 0x3b231cc7, 0xa9e73ff1,
+    0x07c4149e, 0xfcc99c8e, 0xde88b882, 0x583e9e1a, 0xacb18460, 0xc833737c, 0x3dc7a51e, 0x8e4ef79d,
+    0x12b899c3, 0xcbf4515c, 0x83aafe99, 0xa598060a, 0x520ae8db, 0x1a22c895, 0x9e5a2736, 0x9e46e601,
+    0xa87de461, 0x6060198b, 0x0d73fef6, 0xfbfe072d, 0xc0eaf557, 0xa9e89fae, 0x98e97ab6, 0x632bbfa4,
+    0x453a9144, 0x33b99ee0, 0x5f2435f2, 0xd1435875, 0x31657d42, 0xdf530079, 0xad139cc6, 0xa01a30ea,
+    0x82831124, 0xf617321b, 0xf8e81477, 0xa09ba5a7, 0xf6b2a12e, 0xfd854eff, 0x8fb9678a, 0x33c49c88,
+    0x8054b0ec, 0x466ce7ef, 0x94298213, 0x520b6dff, 0xd15d4466, 0x32402615, 0x15429615, 0xcc6fe451,
+    0x310b278b, 0x61e2239a, 0x28842321, 0x1af6b185, 0x681f3b53, 0x5189cc9f, 0x6ab959cc, 0xde9d63f8,
+    0x19815add, 0xeb40f19e, 0x2dcb4704, 0x681ae13f, 0x12b4dcbd, 0x0b8c6494, 0x78570c0b, 0x5a7f708b,
+    0xe986129c, 0x1765f990, 0x1984842a, 0xa7003cf5, 0x558f883d, 0x30d67864, 0x8cd43c37, 0x0a904bdb,
+    0x7db5a82c, 0x46dd1001, 0xd7e315ff, 0x254b5218, 0x05cb1fe4, 0x7f5d0963, 0x295760fe, 0xcfd3d791,
+    0xd45b85ad, 0x84ad8300, 0x7bf18fd5, 0x521e43ec, 0xc9ca2eb6, 0x1a9083cb, 0x81dacf52, 0xf2c94206,
+    0xc02fdad3, 0x806c79f8, 0x5a2d642e, 0xbbc9a1d4, 0x0991344f, 0x17308cf1, 0x1e218bb1, 0xd6c1a646,
+    0x7af15751, 0x248d82ec, 0xeab4524a, 0x2ac79f1e, 0xf3fde896, 0x38df9bfe, 0xf34e8085, 0x4fecb7de,
+    0x89bcd2b7, 0x52a7e86d, 0x9e914893, 0xb045a84c, 0xc4932902, 0xc9496dbf, 0x9bf97ad6, 0x11725af6,
+    0x8210dc43, 0x154ef6a3, 0x53f389c7, 0x69c5b240, 0xdab07b30, 0x9478103a, 0x2b02b355, 0x64ea8da2,
+    0x1666d616, 0xc727b982, 0xb655965a, 0x4c208840, 0x80dfcab9, 0xfca4019c, 0x4ba8f862, 0xf1c877db,
+    0x13b21b98, 0x477b218c, 0xcb210575, 0xcce7ffe5, 0xb6921201, 0x9bff9498, 0x386ddce6, 0xf6aa2a6b,
+    0xaa0e260b, 0x05ed9a1a, 0xf2642aa5, 0x23284e57, 0x45acfa6e, 0x5651caab, 0x981705cb, 0xc4da58c2,
+    0x86274f42, 0x28504759, 0x4528ca02, 0xda4210ba, 0x274e378f, 0x184d773c, 0xdeee1858, 0x149f228c,
+    0xaaf1686a, 0x5e446fbb, 0x5736b69d, 0x545e0596, 0x1be7fc36, 0x64afe50d, 0xf75a41fb, 0xc1654095,
+    0x37ff6cfb, 0x6b658a8e, 0x517c9c00, 0xc6776b54, 0x0896d666, 0x1b86b346, 0x12add5c5, 0x26ba4125,
+    0x9c87fdcc, 0xfdfcf2e8, 0x980c6ed2, 0x35ecac6d, 0xcf068a87, 0xf1e08bc6, 0x38608c6f, 0x153e23e2,
+    0x4357e240, 0x75d501e5, 0xbc58183a, 0xd47e9077, 0xb876c7fa, 0x0e96b580, 0x26fe58f0, 0xf57d46e5,
+    0xc2efd5ed, 0xea608cf8, 0x7bead2cd, 0x11c10bd1, 0x10c56b4d, 0x9d139693, 0xdc49fb9f, 0xd58187cb,
+    0x3483619f, 0x1099fc47, 0x50e42273, 0xec1fe1de, 0xcdeccb44, 0xe64e283a, 0xb3695efa, 0xfd1c74d8,
+    0x95d13c4b, 0x67cb195b, 0xf65a5395, 0x36e3ba27, 0x8f6e93e9, 0xc2ccef93, 0xce6a0ecf, 0x22102656,
+    0x97437307, 0x0c99822f, 0x022c51dd, 0x3cdd64d8, 0x79a4c608, 0xac663825, 0xf0b9dc72, 0x8e0b1cec,
+    0xe0afee1a, 0x5ec08f55, 0xf7813741, 0x5c7d3e00, 0x8af70751, 0x968c23e2, 0xdf714957, 0x458ba965,
+    0xc9f7e4ab, 0x4f03af7d, 0xa1e22fa9, 0x1767fb19, 0x3ee3370f, 0xbb7cddf7, 0xf227840f, 0xfd6bcecf,
+    0x54d712cd, 0xed0dca32, 0x4586f2e5, 0x18f79b4c, 0x3a1a0070, 0x29867eaa, 0xa408dd31, 0x70d7d7de,
+    0x6fa417c2, 0xc023c01b, 0x4f00c9af, 0x59eda0bc, 0x4b2c36dc, 0xe9c67c0d, 0xcbd60021, 0xdd7d3a7a,
+    0xba285c4d, 0x1f7462b3, 0x9968c563, 0x1c9d97fb, 0x18624e90, 0xd3a4de28, 0x50df795e, 0xdea0d037,
+    0x91ff0cc1, 0x62ad849c, 0x3a58cb9c, 0x3d8335dd, 0x8ab010ed, 0x9d9f3d8f, 0x3a5ac072, 0xdf636cfe,
+    0x9a655585, 0x9818cec0, 0x0e15eb31, 0xaabab13d, 0x832454de, 0x4532293c, 0xaaf25e8b, 0x09427641,
+    0xd3d2f5fd, 0x0da5eadf, 0x730e4c6c, 0x538f28fb, 0x41b2ef6d, 0xf759b5bd, 0xa4579b3b, 0xfba39d6f,
+    0x3870e382, 0xc717411c, 0x38d3ce6d, 0x7a3fd31e, 0x75b99036, 0x76a375ff, 0x370f1991, 0x72fe735f,
+    0xd757563d, 0xa0cc0e5c, 0xb73a8c1b, 0x88e96b02, 0x5b291c47, 0x30882f25, 0x7db7fc04, 0xa718afca,
+    0xf183f242, 0x96fa6505, 0x81697dfb, 0xe2afec7a, 0x1bf2f9fe, 0xc419898a, 0x93150814, 0x51e9b93a,
+    0x4f77cd7d, 0xee5d73a5, 0x4f28737c, 0x95a2cb7b, 0x4c6269e6, 0xd6580415, 0xc5ca7bcb, 0x97b8b6c4,
+    0xf4f840f0, 0x4dc4b890, 0x5ff9f2c8, 0xcd25b5a3, 0xc02c438b, 0x3b03c6d6, 0x26e59dce, 0x2d026877,
+    0x6646275e, 0x8c7cb2d4, 0x90a02604, 0xe1bff1d9, 0xf3401739, 0x76f16c93, 0xf448dcb4, 0x45b02401,
+    0xbff11ff7, 0x57ad601d, 0x82e82453, 0xb057a5e9, 0xbc9fdcf1, 0x5f6b34ac, 0x72d5536e, 0xcd84bfa0,
+    0xd586ceb2, 0x074895c8, 0x6e274917, 0x15935fb0, 0xc3fcbc54, 0xad624144, 0x222e2c8c, 0xf22fd993,
+    0xcf75ef6e, 0x8b998d7e, 0xca350aed, 0xebce1241, 0x2db4c32a, 0x4294b8c9, 0xe872363b, 0x367c92bc,
+    0x0464a856, 0x9909cc69, 0xcd3af1e4, 0x1190f760, 0x657719cd, 0x98c2ed6d, 0x6c27be2b, 0xf051f1d8,
+    0x462f1d88, 0xf8d6a785, 0x496bb8ca, 0xad21a0b5, 0x1dbcdb07, 0x14455fb5, 0x61eb2a41, 0x4971fbce,
+    0x7f326cdb, 0x2a021a62, 0xf651a0b9, 0x3eea3e9d, 0xd3bf956f, 0xc431eceb, 0x8bd29e62, 0x77cd5775,
+    0x06b46024, 0x9818384f, 0xc5eb4b74, 0x2fd3f1a4, 0x00028c6b, 0xe4d8717b, 0x76b24dd3, 0x6127e390,
+    0xa131fc31, 0xdf41a2b7, 0xb2fa6d14, 0x48fc28d9, 0x834f51a0, 0xbe486e29, 0xe3c74f39, 0xd3ab74e6,
+    0x933eef42, 0xdb5e7eb9, 0x5e53bac7, 0x141d3388, 0x19464ec1, 0xa185c4e4, 0x96bb7b49, 0xfb075ccd,
+    0x10a5809d, 0x11295a99, 0x4030fb82, 0x9b73c202, 0x0da288fa, 0xad13614b, 0x8d840157, 0x58b0bc6a,
+    0x7e868e00, 0x0dd01169, 0x9e9f57eb, 0x3930babd, 0x98acb2ad, 0x8c800bee, 0x3ddf1bbb, 0x3f81e1ec,
+    0xb2e562ed, 0x83c75870, 0xaabda92d, 0x1deb6330, 0x19a0b9e2, 0x5744be12, 0x551cec5c, 0xcb19ce9f,
+    0xda4bd7f5, 0xae1343b4, 0x9735c977, 0xd9893645, 0xf2735eaa, 0x6a742707, 0x3f88dccf, 0xf72475e7,
+    0xfcfd5e29, 0xa68be17c, 0x28d2906f, 0x5b4f07d8, 0xc5b5658f, 0x39add56b, 0x7ba0cf98, 0x02f8f66b,
+    0x9a49e9b9, 0x982bd55d, 0x64d4b6e4, 0xb56d3749, 0x1cc7ec86, 0xe3af63bd, 0xc8c11cc3, 0x8569d07d,
+    0x00000000,
+    0x2a6fefa2, 0x8a562dc9, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000055213970774324510299478046898216203619608871777363092441300193790394368 */
+  { 0x00000000,
+    0x990f65d0, 0x77b82b81, 0x7a971a95, 0x7917e8ed, 0x5d583a0d, 0xb937a84f, 0x79b31889, 0x8b5799e5,
+    0xde259e34, 0x9044a5b9, 0x8d38f562, 0x7c826177, 0x0f1604a9, 0x2e1eb486, 0x762c0921, 0xc7e285c8,
+    0x0ab5965e, 0x656944f0, 0x0161702f, 0xc073543c, 0x1ef427eb, 0xeb05f8da, 0x58551963, 0x5d5d2572,
+    0x7702d1c4, 0x78e80b6e, 0x500e7547, 0x99cdc9c9, 0x6294a614, 0xba422e2d, 0xcc8d8ecd, 0x123dd8fc,
+    0xc162868e, 0x1084e120, 0x6f9963fe, 0xd0e6540d, 0x32cb4781, 0x223b46e7, 0x0ae5eaa2, 0xfb9aa244,
+    0x1f16727c, 0x3a1de3d5, 0xecc69c44, 0x45ada7db, 0x2ae57720, 0x4bfb52a2, 0x10065640, 0xfdfe9bf0,
+    0x7e4fe7bd, 0x6dffd644, 0x3a358ec3, 0x380de471, 0x0742a990, 0x9627d63a, 0x512ba8eb, 0x3b7e6ba6,
+    0x8aca39ed, 0x3bc1eee9, 0xfb73bf2c, 0x96091433, 0x9709056c, 0x779776ec, 0xf0ec4afa, 0xfb756036,
+    0x2c4c270c, 0x9676b6c1, 0x54898876, 0x71b09016, 0xeb82b595, 0xcc997381, 0xa1d82b8d, 0xfb5f16e7,
+    0xaa2b4a5a, 0xfc37c470, 0xd1915590, 0x39f97c94, 0x3748c6e9, 0x21ba24d7, 0x559bdff0, 0xd0f1bc1c,
+    0x770e5f45, 0x8b437b29, 0xf0beb08b, 0xed489792, 0x6e8e3737, 0x4ba39c11, 0x2f82131d, 0x4b9eeff8,
+    0xb254b80c, 0x38fc851c, 0x82185d74, 0xc044cb76, 0xa28a12db, 0x34135ca9, 0xa4b6ee0a, 0xf0c29342,
+    0x30b1b9e4, 0xe3246b6a, 0x0b3bb971, 0xf24ed1e6, 0x2fadba75, 0x56142ce3, 0xb2a3f422, 0x891bcb4c,
+    0x602d06da, 0xa553b6b2, 0xe5582220, 0x5a8d7510, 0x4ef111df, 0xb43cf944, 0x9d56c42b, 0x51d55d21,
+    0x40a43e59, 0x826a4909, 0x468ac1f4, 0x262df916, 0x568e9818, 0x625b8484, 0x3d588cc9, 0x4a6e1708,
+    0xd53742e7, 0x394449bd, 0xf085b7cb, 0x5e4faa1d, 0x5cba8686, 0xaf5d060e, 0xaa0cb6fb, 0xe8b6769c,
+    0xed353f49, 0x33b2e906, 0x1b7509be, 0x9be9daca, 0xe58a7a4e, 0x27c5308d, 0x28d692eb, 0x94ed8e2d,
+    0x1bd9297b, 0x4735690b, 0xc2d66bb8, 0xb58b83f2, 0xc8ccf1a9, 0x514358c4, 0xab46cc3d, 0xc110b5f2,
+    0x584eed4c, 0xdcaeaac7, 0x491e358f, 0xe810cd36, 0x7b025fdf, 0x0a07d466, 0xd0d535ff, 0xeb4f9e59,
+    0x38a81c73, 0xf5a0304d, 0xd52fa1d3, 0xee4e7ffb, 0x213443a2, 0x3d9cdd5d, 0x30a8129c, 0xb8c30316,
+    0x406db6bc, 0xa3de2d59, 0x8b6d24d2, 0x4d2865f7, 0xff2d39e2, 0xd2afd0da, 0xc076b465, 0xfbb926b3,
+    0x7a356e57, 0x8a9497e1, 0x0198cc1f, 0xb7258f5d, 0x2b312a94, 0x237c307e, 0x82ee1130, 0x5fff007c,
+    0xa72d52ce, 0x157659da, 0x3bf5d9d3, 0x0d2d8dac, 0x2242177a, 0x3555d884, 0xc000ed5e, 0xc838a27d,
+    0x39557cb4, 0x220dcaa9, 0xda42c315, 0xcd51bf44, 0xa4960075, 0x798212eb, 0xa9109f08, 0x5b61b290,
+    0xf2a99671, 0xac9074f4, 0x26656257, 0x7bfc8909, 0xddd2503d, 0x6c34bd5a, 0xb0b0801b, 0x87949b48,
+    0xed232e20, 0x0b758f6f, 0xc749758b, 0x5629dfe7, 0xb2f5e1e2, 0xf23712c8, 0xc6973bb3, 0x5c1c28b2,
+    0xc0010f04, 0x6c5f5db3, 0xcb041725, 0x3890b6c6, 0xaf810950, 0x69dfe384, 0x403d23f5, 0x2583f06c,
+    0x7c00386a, 0xd7d75a83, 0x0786ab83, 0xab3f4706, 0x15f0bff9, 0x55f8caf4, 0xeaf67a26, 0xbfa4796a,
+    0x36b690fc, 0xd06f060d, 0x1fc09e87, 0x483535b0, 0x81105826, 0x4945c286, 0x6397455e, 0xf16b3652,
+    0xe6df024f, 0xd7a9e620, 0xd56a5feb, 0xd19e60ad, 0xc9acbd53, 0xa7a782cd, 0x43dd99fd, 0x4ab864e6,
+    0x7dbba309, 0xce28b94d, 0xf13d6ad4, 0xbccdfdeb, 0x7507b31d, 0x632fb25f, 0x5abbce6c, 0x01663d76,
+    0x1ab3758b, 0x7792ee03, 0xed67e69c, 0xa8ae2525, 0xbdac7f6c, 0x9643dd02, 0x62bf5e17, 0x7e7cdfe6,
+    0x5c09c713, 0x8c005f5a, 0x8d432e44, 0xf97b02e1, 0x8f2734e3, 0x2107bf66, 0x7804bd17, 0x7d99ae0b,
+    0xcc3068ba, 0x63d6b67d, 0x52c8cbcb, 0x6d5f320b, 0x43a3cd89, 0xe1eae0b7, 0x8f30007a, 0x231c88bd,
+    0x92e66d3b, 0x435e5c24, 0x4299529b, 0xfcb50090, 0x44fa5e5c, 0x9e61c67d, 0xc6b40343, 0x54dfaff8,
+    0x2af096d1, 0xb1fbf91a, 0xb33f6026, 0xc78ac86b, 0x74c0bf1a, 0xaaf01637, 0x3a6e1e3c, 0x7b4c5e82,
+    0x31267680, 0x8d8992a2, 0x9aef527a, 0xeca1869c, 0x918938b9, 0x4c8708ae, 0xcfbad893, 0x1b900dfc,
+    0xf3527a73, 0x12db92e0, 0xa938965f, 0xab149903, 0x75306059, 0xa4bb0e4f, 0x8fe9a19f, 0xbd9dabb4,
+    0x1e24591a, 0xdad221a6, 0xaea19bcc, 0x3fc8a512, 0x9a00b74b, 0xbccc8175, 0x7d49eb90, 0xb120e2fa,
+    0x03716d57, 0x07f7952a, 0xe344a793, 0xf38cced3, 0x08da3ba7, 0x1cb3a792, 0xf37bfc96, 0x107f6a37,
+    0x2cf7432a, 0xb8e28239, 0x12dbcf8b, 0x20d7bbb3, 0xec5e161f, 0xaadfb7f8, 0xfebfec26, 0x5395458d,
+    0xd83cb390, 0x3280eddf, 0xd3080244, 0xb8cb5567, 0x9a704e28, 0x6a914790, 0xf7eae491, 0x46c1c568,
+    0xfbfb5ef8, 0x216598e0, 0x763b0010, 0x5225c5da, 0x04f1a0e0, 0x62709ac9, 0x9547a367, 0xe68061ac,
+    0xeb1d53e6, 0x07ea8b17, 0xf12dcf5a, 0xef6cae57, 0x4b26bc4b, 0xa2878927, 0xd9868018, 0xf07cc58d,
+    0xa105c37c, 0x10ed8824, 0xca55481d, 0x1ac7d327, 0x4647fee0, 0x3f578781, 0x7c7827c7, 0x7102caae,
+    0x7fa23fb5, 0x2e6858e7, 0xe1dbe56d, 0x31912516, 0x44767feb, 0xeddebcdc, 0xc309df97, 0xf98a2741,
+    0xebf28adb, 0xe7013814, 0x460f8272, 0xdc5608b2, 0xe8d82a26, 0x5415bc7b, 0xc37987fb, 0x62f7210a,
+    0x2dfacc6a, 0x2c2e2ed3, 0x81f04aa3, 0xa4ddcd82, 0x5aa64c70, 0x12c9405f, 0x9aada03b, 0x26ecba03,
+    0x88f35b51, 0xfdf828e1, 0x0c8050e3, 0xd1aa78d7, 0x2d2b126a, 0x3a00d00b, 0x10e7697b, 0x5f3c1cb0,
+    0x254f01fd, 0x8a910378, 0xa35987e6, 0x724b5567, 0xb4b7999a, 0x583c3197, 0x617ee85c, 0xc8942412,
+    0xdc64cd11, 0x94483ffd, 0x59eac2ab, 0xba87e5ba, 0x48705e9a, 0xf735ae25, 0x4caad03a, 0xaa3ae40a,
+    0x75b469f4, 0x57959a55, 0x6b5f5875, 0x7633b4f4, 0x5f4764e2, 0x17362b57, 0x06f94faa, 0x0166b5a0,
+    0x0b3c1f88, 0x54978e1b, 0x992137ad, 0x7ac16294, 0x9739b0c8, 0xd470c593, 0xc7832e1b, 0xa5b4c180,
+    0xbea4d976, 0x37a8a6b4, 0x3f00c9dd, 0xcb13434d, 0xa3142a23, 0xe6899b09, 0x12069816, 0x140ed672,
+    0xfad94641, 0x9fb89089, 0x72355c82, 0xb9dd38a3, 0x4ddb1496, 0x211fe2d7, 0x9b4af717, 0xaaab91ec,
+    0x157d1db3, 0x71f472d7, 0xc1c02d11, 0x1b5ffdb0, 0x5bd940b2, 0xa5819d48, 0xadf18e51, 0x6bc45c55,
+    0x8faaeb70, 0xf27b1965, 0x7c24418c, 0x6016fda3, 0xdac63978, 0x8013b6e4, 0x2e4db36b, 0xc329b4f6,
+    0xf35f95ce, 0x952f1b9c, 0x84ac7ac1, 0xc3c44e85, 0xa6bc1e2c, 0xb3de27e0, 0xcd1b85df, 0x1fde4b5d,
+    0x4e97dc44, 0x7f0b8726, 0x18e990f0, 0x19e6bf5e, 0xbb49e428, 0x72629766, 0xe23c7989, 0x79792265,
+    0x35741724, 0xf3edd7a6, 0xbe5d426b, 0x8920d11f, 0x6098ead2, 0x17452463, 0x88679256, 0x31e7e7e7,
+    0x6ba983c2, 0xac812acd, 0xb9932ba3, 0x6264f15b, 0x27965235, 0xcc30913c, 0x75025358, 0x08cc1418,
+    0xc02dae69, 0xcdc949a1, 0xa6ff75b3, 0x3189f9f6, 0x54f03409, 0xd59e7f83, 0x29066d48, 0x148fe3dc,
+    0x46bda410, 0xc4ab4e67, 0xf9a5b628, 0x6e252bda, 0xaa844abc, 0xd05cacbd, 0xb0796195, 0xfaceca18,
+    0xbdb436c5, 0x5f12f2ae, 0x2be45e46, 0xa3d3decc, 0xa1b99b6f, 0xb461c937, 0x1569bd01, 0xbebf59e8,
+    0x385be901, 0x51254c9d, 0xce9d0c93, 0x28ba0ac9, 0x7db7aae4, 0xb1acc875, 0x84ce8365, 0x4467d67d,
+    0xe5cbe45e, 0xcb2aec58, 0x09cc4fbd, 0x9fc27f26, 0x2262acb6, 0x6afd4c30, 0xa8cd8ed5, 0x9a1c2052,
+    0xd85766f9, 0xd307a84c, 0xf7302fee, 0x05842e78, 0xead53bde, 0x96491952, 0x5792246a, 0xbfd59a7f,
+    0x6957c553, 0x35259eac, 0xa4dc51fb, 0x09fcfa21, 0x2039bac0, 0xf44ad30d, 0x5e515e11, 0xbbc5ebdd,
+    0x80fdb3da, 0x2782764c, 0x16897b19, 0xbe29ff78, 0x6662bb1b, 0x57c2b6fe, 0x0ad46109, 0x8158aab8,
+    0xfdeffe33, 0x6301b6a3, 0x89a1aa88, 0xc2aebe0c, 0xb45bc487, 0x233f4162, 0x3fac36be, 0x2c82cefc,
+    0xf1d38058, 0x59ca7e9e, 0x9ee8655e, 0xb342c74d, 0x2cf12e8f, 0x83df8d64, 0xa9e6741b, 0xfa6acaa2,
+    0x02220aeb, 0xebdd3de7, 0xe7647e29, 0x303020be, 0x66bb4847, 0xdaee1433, 0x5244f4ab, 0xa10fde68,
+    0x39426441, 0x9b17c050, 0x0e6a9ec6, 0x509f7732, 0x9e8cfd41, 0xf18fc5a7, 0xf1d530fd, 0x8df434e1,
+    0xbdd8544f, 0x05c2c07a, 0x3c3a5c4b, 0x405f4fe5, 0x29dafec9, 0x8a3759c8, 0xa7f467df, 0x6d352fb2,
+    0x8af50805, 0xbbc4e761, 0x6306f449, 0x1094b54d, 0x1800d75c, 0xfb5871de, 0x0c76aeee, 0x90fcfde7,
+    0x17de848b, 0xa62d407e, 0x3e702927, 0x94384aef, 0xe9959d58, 0x9ad05969, 0x58ed757a, 0x5eb16e4f,
+    0xf2158065, 0xcbda63c3, 0x4b2d6254, 0xa09b892c, 0x21ad9f47, 0x2b4bfd47, 0x3c2a3e83, 0x5cefb61e,
+    0x0ff2a4ed, 0x486dc3e5, 0x07c7b0cc, 0x98d9b48e, 0xf6a4a2ec, 0x19bfef1d, 0xe439a2a9, 0xdaabb3f9,
+    0x4bb87e7b, 0x1ca4c45f, 0x24ed7626, 0xae4edeb8, 0xc47d2d98, 0x6618fcb2, 0x7322a53b, 0xb4583e75,
+    0x7100019d, 0x96143b13, 0x6d5f821c, 0xc90383ab, 0x21ae17e4, 0x2f3eb21c, 0x2d918983, 0xb31836e4,
+    0xdb5ca597, 0x243b44b5, 0x92cfed6b, 0xa6c60522, 0xce0db5ac, 0x3d8eb55f, 0xdff46795, 0x0da3ea40,
+    0x6f03fd87, 0x04d0b0b0, 0xcd16c9c3, 0x7ff370e8, 0x83b4eb2c, 0xffb5d0a6, 0xd1927bff, 0xe091bc39,
+    0x6ef4d227, 0x61d52188, 0xf8f2e383, 0xf14655e4, 0x7e242e40, 0xd274022f, 0xd7327bef, 0xa736046f,
+    0x44ac89ae, 0x0ccd30c0, 0x2ad06cc2, 0x96c57400, 0xd51cc458, 0x128257e2, 0xc87fb0e4, 0xc94eaa0d,
+    0x56c1c324, 0xf6073057, 0xf7b6c2a5, 0xcdac8cb1, 0xd6f1ca3c, 0x15b67571, 0xa276e928, 0xbbc30b81,
+    0xa58bc638, 0x08d2d881, 0x7de4c326, 0xdbfc3634, 0xbf662166, 0x3231d176, 0xb3a69a59, 0x9b96800c,
+    0x4dfbe9e0, 0xd487f8e0, 0x37030f0c, 0xb106abee, 0xcc8a2911, 0xc7be730f, 0x37d5c4e3, 0x4c745bce,
+    0x2edf1ccc, 0xf7ecc347, 0x72259a01, 0x1aaa40ad, 0x57a2331c, 0xe304e5b9, 0x300c776a, 0x7c075b4d,
+    0xc848e279, 0xd67b2850, 0x390875a5, 0x82284b3c, 0xc37eb563, 0x64f93376, 0xeebda89b, 0x234cb977,
+    0x8eba7bb7, 0x1acc75ca, 0x70048ae6, 0x485e3600, 0xaab10780, 0xed7aa5fe, 0xe2fdef5f, 0x76379edb,
+    0xdd9b0f69, 0xec47cc46, 0xa0ee2285, 0xe4ef4a12, 0x2b09efe9, 0xa99cd414, 0xa06ef24e, 0x68a8e022,
+    0x572c3ab4, 0xd7e94e43, 0xf7e6d28f, 0xa55cd9e7, 0x6139545f, 0x85c5d285, 0xf7a8d654, 0xdb2b8758,
+    0x9c0165f7, 0x5eb87125, 0x17845e20, 0x2020779a, 0xdf550b9c, 0x5da5e5d5, 0x2b19a02d, 0xf3c6366e,
+    0x85a51fbc, 0x12446613, 0x2f13a923, 0xe38a8878, 0x3a9d6359, 0x27c6cd38, 0x088a5510, 0xdfd8f8d4,
+    0x8c5cf415, 0xa97f1e2f, 0x122be8c1, 0xb23339c7, 0xbf152533, 0xe7baf7f9, 0x0d6a4329, 0xce83645d,
+    0x0229b4e8, 0x6190a501, 0x78c91755, 0xa877ee66, 0x52bd7f2f, 0x0df107e5, 0x4ee3de11, 0xfaaff91f,
+    0x9dd5e732, 0x103f526d, 0x1f220759, 0x70e144ab, 0x49b624ab, 0x1fbb17ec, 0x869ef032, 0x6a4ba162,
+    0x1e187fa7, 0x1a27593d, 0x499c4519, 0x7f0ee55b, 0xb22a80c8, 0x4f7c165b, 0x10910d37, 0xf978b5e8,
+    0xc2be67e3, 0x401a4381, 0xf3a4beb0, 0x76e30b32, 0x64da2106, 0x5bbfbce5, 0x3b1d6d81, 0x8e212b66,
+    0x0d3504d9, 0xf525287f, 0x373c1906, 0xa40bc05f, 0x349f8d5f, 0xb881d442, 0x6394e3d0, 0x8689db0d,
+    0x3ccd123a, 0x3a02d0d9, 0x94c6e08b, 0x53e97be9, 0x1be32fcc, 0x1674ebee, 0xde03fade, 0x67b5da9d,
+    0x18fe7832, 0x3f3eefab, 0xc227cf7c, 0x98577d18, 0x3db68e75, 0xa14eac74, 0x3a7816b3, 0x3fd1709e,
+    0x0c5fe9a4, 0xfeabd997, 0xae200505, 0xd852af39, 0x552d5935, 0x1db3f973, 0xc3b99b0c, 0xedf58d3a,
+    0x487ec6e5, 0xff093970, 0x13d957af, 0xa165475c, 0x8267bdff, 0x505ba1b5, 0xd8c37331, 0xf5e2465a,
+    0xb1b76111, 0x2aab53eb, 0x810a081e, 0x97134d52, 0x7e80ee27, 0x7b8852a3, 0xf9018eb4, 0x40db8e50,
+    0x6913bab6, 0xe0aadbe4, 0xa1e55c7d, 0xa2f361fe, 0x179b4f83, 0x4b3f317e, 0xb34b8147, 0x8bfd9f78,
+    0x1bda10f4, 0xd2df3f35, 0x430dba0e, 0xb5b96224, 0xa6e3c1a1, 0xe0ea3870, 0x523758cf, 0x5dff144a,
+    0x3ccaf6e3, 0xed559720, 0x2e09be5c, 0x2526f0b7, 0x113c22cc, 0x0e246d13, 0x3aa378f0, 0x7fbfb27d,
+    0xa7288d16, 0xec9fc3be, 0x3235c01f, 0xea5a0049, 0x675c56ff, 0xae7dd645, 0xb6fa6425, 0x7cd6903a,
+    0xd673f052, 0x9f6a8389, 0x948360ba, 0x5e4e18e5, 0x914b5b76, 0xd7e2effd, 0xa1d47672, 0x52574da6,
+    0x5b76803c, 0x7d5d7b0d, 0xc47fc132, 0x741648c8, 0x1d83796f, 0xb0b21b76, 0xe7fe7613, 0x11bd51d9,
+    0x32a7148a, 0x02107c67, 0x19894217, 0x39d712d5, 0x84065545, 0x10d07f46, 0xdbb5d304, 0x32d44a68,
+    0x9647489b, 0x81d1e9af, 0xa64a3aa7, 0xde28ad2d, 0x276962f5, 0xa8cf527a, 0x915a5b61, 0xb8db68a5,
+    0x6ac9a054, 0x9e66190d, 0xce23faa1, 0xa5e22eb1, 0xefc891ff, 0xd6956d24, 0xd01f2548, 0x38f06db5,
+    0xe5230799, 0xd651030a, 0xdb2e66ca, 0xc7f82fc8, 0x1a0ce046, 0x2c7e4fb7, 0xb414d59b, 0xfd3f886c,
+    0xbdd347a7, 0xb47c6ddc, 0x2d407f1b, 0x135aafff, 0xb20b69f1, 0x0e1d923b, 0xca1ddf5a, 0x5999baea,
+    0xf2b17059, 0x996f947a, 0xe5faf6ef, 0xb6606407, 0x1a727782, 0x812fd5ff, 0x27138a71, 0x8c82d1bc,
+    0x1dd24715, 0x4d78c2dd, 0xc5abf9cb, 0x418d9ae8, 0x4ed0b12d, 0x4abb7d0a, 0xd1a215a0, 0x881936de,
+    0x1873b184, 0x3794e276, 0x73a7be3b, 0x71a90893, 0xc5ea612c, 0x9be7d27e, 0xe5cb95a8, 0x6d1f44f9,
+    0x93a3520e, 0xef4a7c24, 0x9bf620db, 0x37cc2e91, 0x212955b7, 0x16df824d, 0xe18eb713, 0x3d983e2e,
+    0x74e39872, 0x05ad5bdb, 0xb27da764, 0x1e2f2888, 0xee58adc6, 0xbe1a7259, 0xfe4e17f1, 0x1e379540,
+    0x4c4b50e7, 0x1b85b71f, 0x87a7d42b, 0x84b2c964, 0x980d3621, 0x8379c1a5, 0x2a0de927, 0x83e31c5d,
+    0x4bec8f97, 0x7d242bfb, 0x7e85bc70, 0x225a6b17, 0x5da1497e, 0x1480fd78, 0xdaae7cb5, 0x490d59f4,
+    0x660d3d18, 0xc7a5b917, 0xc43e6b72, 0xf28bccbd, 0x8e453d34, 0xb1dd1368, 0xe5e0b72e, 0xdc784c28,
+    0x6e2b96a4, 0x5632f9f2, 0xf82b81fe, 0x2a8351ee, 0x8aa4c996, 0xa4c97043, 0x26ff1cc9, 0x577bf068,
+    0x84029fd9, 0x5b3f2b86, 0x1f3627fe, 0x64beb7df, 0x046786d1, 0x8c578e34, 0x2e9765cb, 0xb8ceb8bd,
+    0x00000000,
+    0x9537f7d0, 0xc52b16e4, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000027606985387162255149739023449108101809804435888681546220650096895197184 */
+  { 0x00000000,
+    0x83edd93e, 0x0ce924d9, 0x873c1d7b, 0xdb8eaf5d, 0xa99d16bd, 0xc4464c22, 0x96460062, 0xa4a526e3,
+    0xcd19a1ac, 0x8e946d7d, 0xf8bab816, 0x37c0663f, 0x7681f1e8, 0x129d5535, 0xdc076733, 0xf10dd858,
+    0x5144c66f, 0x0c0e8905, 0x869eea31, 0xc79282ec, 0xef5cac74, 0x4dfad58a, 0xa9fc9064, 0xfe5a4b12,
+    0xdae51014, 0x00d55c18, 0xaf0d9978, 0xb5a36b65, 0xe01f7c98, 0x071df878, 0xf234ca6f, 0x2e0aae6d,
+    0xb0c7607d, 0xb6e1fccf, 0x3ab865f1, 0x3dcc2c4b, 0xedbb4683, 0x93910872, 0x83b3423a, 0xc32a59b4,
+    0x2c322969, 0x10cdd713, 0x82423e51, 0xa81b9e36, 0xc116535e, 0x2d7a061f, 0x86fce790, 0xbf9a4430,
+    0x1217f419, 0x74fe44f9, 0xbd94f96a, 0xad366a7c, 0xc6812cc8, 0xb7851852, 0xde605062, 0xf5a05d61,
+    0xe9066e43, 0xae73a09e, 0xbdb94a8e, 0x89523877, 0x74693579, 0xfe0f0227, 0x5c9d364a, 0xaa0125ba,
+    0x99186373, 0x50cc7cc6, 0xa0de7372, 0xeeef05a4, 0xecfd75e6, 0x1bf6399b, 0xac116f25, 0xb89d0707,
+    0xb20ef29b, 0x3e1033f6, 0x69f975a3, 0x8d0a2c72, 0x2ac658b7, 0xca6f967d, 0xe1b44200, 0xf2888986,
+    0x201184ba, 0xd17c30db, 0x12289f93, 0x53bf9db1, 0xc01009d2, 0x11b8d58c, 0x6d4b1695, 0x8115e1c3,
+    0x6634e3a8, 0x8bbad8d9, 0x28d3c388, 0x3d632d7b, 0xaefbf6b9, 0x315a1ca8, 0x6ba9b9aa, 0xc58fc4cb,
+    0xea660ca6, 0x13083df9, 0x83b37212, 0xe4013284, 0xcb3c535a, 0xe18e5319, 0x7ef5ed5d, 0x3e4e51e0,
+    0xb521e113, 0x275c4354, 0xbf639acd, 0x3677a7be, 0x0412fe28, 0x353310f7, 0x443678a9, 0x3ba675ea,
+    0xea34dcfd, 0x2670941c, 0x7bb77783, 0x0086db87, 0x6ee3a886, 0x88944408, 0x9ad045b9, 0x82b482e5,
+    0xfda6b366, 0x34c96357, 0xad8de8bb, 0x2f913e7a, 0xc039756b, 0x5886633e, 0xcb892514, 0xb3af2a57,
+    0xff06db9d, 0xdb298d4e, 0xe415765f, 0x9a92d0bf, 0xa4c13185, 0xf0561f41, 0xe4337780, 0x77805302,
+    0x824695f1, 0x8943d4fd, 0x7d2d4a41, 0x8846dac4, 0x3a0b7862, 0xbb3aefd5, 0xfe893cd4, 0x646909a9,
+    0x1de1ea66, 0x8cf32666, 0x5019db5d, 0x13402e96, 0x875c105f, 0x0641251e, 0x9f517e09, 0x96465c00,
+    0x32802de0, 0x4593fae1, 0xdcb0aeee, 0x65162ee1, 0xfa3c9144, 0xa1ccbf12, 0x1374c3ff, 0x185e7b73,
+    0xdf23e644, 0xef875bce, 0xc33fa2e1, 0x5779bea8, 0xbf4bceeb, 0x9653e9cf, 0x937699cc, 0xf6c0913e,
+    0x0d22cee5, 0x88194edf, 0xc990172b, 0x0a9f528c, 0x260a1349, 0x3be29657, 0xe401aab6, 0x08f67cab,
+    0x9550f993, 0x7f5f7dc6, 0x05fc1aa7, 0xe37e6c35, 0xdb577af6, 0x1527e60f, 0xe572a19f, 0xad460bcc,
+    0x8cef9a16, 0xeb222ed3, 0x8cb08340, 0x5d9dd710, 0x18fe220d, 0x79a591c0, 0x0375282b, 0x62bbcff2,
+    0x646fa4ab, 0x5a784f6f, 0xd1d00f87, 0x7893d972, 0xd2ad7d90, 0x2ccbfb59, 0xbf22270b, 0x8bcd26a0,
+    0x231eef21, 0xf27ac47e, 0xb206a0a5, 0x0234a509, 0xecc206e3, 0xd7961c18, 0x490bd4db, 0xf5464e32,
+    0x2c27746a, 0x7a833f75, 0x2061965c, 0xcbfb9039, 0x69b39b0c, 0x3a683c4b, 0x15c469c9, 0xf31dff42,
+    0xe5ce6897, 0xc885a489, 0xca6af0a4, 0xe857e192, 0x24993869, 0xbd6df53b, 0x77c6e59d, 0x17dffd8d,
+    0x03258e76, 0x34d83cf0, 0xdfc43aee, 0x8153d53b, 0xd6018bf0, 0xccc7594c, 0x69257c7f, 0x6905a95c,
+    0x643b7b85, 0xedb55ad1, 0xa0e8019d, 0x83b7db0b, 0xc51efb18, 0x85b5eaa6, 0xe8687bac, 0x4f006879,
+    0xc97fede9, 0x1a136786, 0xa071bfb1, 0x15baf2bb, 0x0035418c, 0x85a07930, 0xcc4df893, 0xa689f11a,
+    0xe27ba231, 0xbb6bbdfb, 0xe3710de5, 0xe92771dd, 0xa1db4a10, 0x650f53da, 0xf3a96e27, 0xb937c928,
+    0x0981ec2c, 0xb3008e3a, 0x4453fae5, 0x8ecc7218, 0xe9a5d1f6, 0xe3cca9f8, 0xf60c0e8c, 0x2f962be7,
+    0x1b1da03e, 0xd1ca0648, 0xed998b0e, 0x9b9c920e, 0xea542f67, 0xe2f26cee, 0xf512bfe6, 0x56f1e5be,
+    0xeeadf62d, 0x3e4354fb, 0x0ae7f4ed, 0xc325d4ed, 0x3f5bdc45, 0xbec99954, 0x15b7dd8f, 0x4a94545f,
+    0x3babed0f, 0xd1be0bb2, 0x04765695, 0xbbcb415f, 0x2dff70b3, 0x05c19523, 0xdd6904ed, 0x5eeaf8ca,
+    0x2e8df53b, 0x6dffe9b8, 0xd7d7bd67, 0x09d46ba0, 0x51dc3abc, 0xff2f329f, 0xf2428df5, 0x37cbaef4,
+    0xc4c48382, 0x21fbcc0d, 0x194216ef, 0x2fd0d397, 0x85868df8, 0xfa7085da, 0x3999a34f, 0x97dc3489,
+    0x0caf6a6d, 0xa293fb5f, 0xe582b1ee, 0x067567f4, 0x67887071, 0xa7fa79cb, 0x2ff5f0b4, 0xdf8c014f,
+    0x9a8c8938, 0xe1cf15b7, 0x0f5c1298, 0x6ef44ebd, 0xe6d2fce0, 0xeaec041e, 0x4cbcf2c6, 0x54070b27,
+    0x282c1cf1, 0x304315d8, 0x3f1a54c7, 0xa78716a8, 0x7b903be4, 0x377f49b9, 0x9282ff3f, 0xb1a6f547,
+    0x482c2260, 0x1209cdb0, 0x14cc27b3, 0x0a4ac335, 0x5ae73e90, 0x16732f7e, 0x8bdd55e2, 0xfbf9894c,
+    0x0c3ff0f8, 0x5ffce81d, 0xe225d750, 0x2b8fdd26, 0x506de900, 0x35c22215, 0xf6cfa6f4, 0x9cc6830a,
+    0xc69ecf81, 0x85a75cd2, 0x9a0f4aa1, 0x56590102, 0x5e4d11b7, 0xa14feeb0, 0x9635e0f2, 0x0bd3639e,
+    0xe30fcc8b, 0x76647394, 0xdb67fa02, 0x187cb789, 0x826f7f1b, 0xc16cff6f, 0x808d0179, 0x5732bcee,
+    0x57e7a777, 0xe9a2f337, 0x9bb7c289, 0xf599eda0, 0xca0c6e8e, 0x3637813b, 0xe85319ff, 0x4fc992cf,
+    0xd62b36ab, 0x357c2b77, 0x8a682920, 0xe3f83238, 0x0897c15b, 0x0e4a4f0c, 0xab8caee0, 0x0ef5a5b7,
+    0x462d38c5, 0x20a3a738, 0xe25ffbb4, 0x286a31ac, 0x4ce9562a, 0x57e33090, 0x4aef1309, 0x59c3bac0,
+    0x2447299d, 0xd4ebac83, 0xe0c8f14a, 0x26d734dd, 0xa747cb8e, 0xaf96295f, 0x97606a75, 0xe092ec27,
+    0x3cf4efe4, 0xda760e3d, 0x50d061a9, 0xcfe7021f, 0x65d53f3c, 0x5cf9a080, 0xaf0d4558, 0x7b1c65b2,
+    0xea8b4527, 0xb5bae36e, 0x5e997afb, 0x958872e0, 0x853b0a61, 0x6ce05edc, 0x4c2ce008, 0xc5d87740,
+    0xe3e91b12, 0x48849313, 0x853251a2, 0x834eccc9, 0x24a550b4, 0x7e9ccf4c, 0x306e6237, 0xdb8a1f79,
+    0x63097a47, 0x68b32249, 0xa23a989b, 0xc913b823, 0xf1c496b5, 0xf82dd8b3, 0x824c24b1, 0xdbebf28c,
+    0xda9826b1, 0x2fe153f2, 0x42cacfe1, 0xee22b6d0, 0xe0dcedd7, 0xbc1c3e3e, 0x70a0f0e4, 0x28f6ff8f,
+    0xedbf3998, 0xba60f01e, 0xd23aa58a, 0xe12172b6, 0x4cff3dfe, 0x89f572a5, 0x5ca0e205, 0xdeaf0313,
+    0x379b5dbb, 0x946b5044, 0x4b0ed8f9, 0xe018f85e, 0x5707c6d8, 0xb828c0b1, 0x6240738f, 0x28bda984,
+    0x5db70565, 0xda44858e, 0x3ed466f9, 0x104640ba, 0xc277c252, 0x27a38fb1, 0xac7edb92, 0x005a06bf,
+    0xbd3945b9, 0x0b67d0cc, 0x440572f3, 0x625b59cf, 0x2d89f50e, 0x7f6f150b, 0x222053d5, 0x1e67f669,
+    0xdfb42936, 0x6bf87652, 0xdcd65a28, 0x93eee2f7, 0x5e6deca5, 0x8df4d0a8, 0x1b663b39, 0x9e292f98,
+    0x45cdd026, 0xd857deae, 0xc5ab5a3b, 0xf273cf86, 0x24dfbde7, 0x499ead68, 0xc21a825f, 0xe12a8c77,
+    0x4b178db5, 0xbd0bd8f5, 0x529ab9ed, 0xc4290e4d, 0x995eedf9, 0x3904bc0a, 0x43d6d45a, 0x52434109,
+    0xb55910fc, 0xa9cdf0a6, 0xd3b55e59, 0xbfeb2c08, 0xfcc425af, 0x0996b475, 0x1bc78bbf, 0x344e926c,
+    0xf0c0b122, 0xcd862006, 0x0a809a04, 0x049329db, 0x78e53e0d, 0xe54b48b6, 0xb179512a, 0x19c7cfaa,
+    0x848ca865, 0x67b51279, 0x47f11450, 0x879ef6d7, 0xdfbcef06, 0x4a105a35, 0xc6e3692b, 0x5621fd34,
+    0x6bea3958, 0xddc01e3a, 0xd1e7e601, 0x89941ed9, 0x5ead56fd, 0xe67d2b2e, 0x5a23ace6, 0x1d830782,
+    0xb8078c3c, 0x0f1de783, 0x4fa4dd7f, 0xaa7cb769, 0x31399b38, 0x21d6f689, 0xbc91dd9c, 0x855bff2c,
+    0x79eea33a, 0x9cce652f, 0x6f759165, 0x123a046e, 0x8993c104, 0x4076f6ab, 0x16a7f641, 0x2c15e765,
+    0xc3207923, 0xc8db56e4, 0x51df4707, 0x39be545a, 0xa52a1026, 0xc9cb5512, 0xe2dbb162, 0x2488e11c,
+    0x5359468a, 0xde64c41c, 0xf946e0f6, 0xda6afb66, 0x1dd1d79e, 0xcb5e5e06, 0x3bce15fe, 0xd1347959,
+    0xd0973658, 0xf8a5921a, 0x0951789d, 0x49c05681, 0x69ea8910, 0xbfbec71c, 0xf8b146ff, 0x50ba86bc,
+    0x1ac016b6, 0x1e2696dc, 0x6fcdbb67, 0x4395379a, 0x329dca16, 0x7b8d020d, 0xe2c49894, 0x3799757c,
+    0xb3c25509, 0x25d720f9, 0x7641880b, 0xc752d4b1, 0xc65a5502, 0xa2e41cbb, 0xafe7e774, 0x22137c20,
+    0xe6b66ae0, 0x73d03563, 0x31ee905a, 0x8766b4ad, 0x39ab6d2f, 0x4f6b4b87, 0xf0fc017c, 0xa11321c2,
+    0x3a32e294, 0x721fc117, 0xa044ac35, 0x9ab23192, 0x775d7a8c, 0x9a5908a5, 0xc2f08581, 0x13b6fd9b,
+    0xfd747af9, 0x6399e0d6, 0x78a01f4a, 0x8ce3b658, 0x4273757d, 0x85494571, 0xdb77a361, 0xa43a4259,
+    0xbea779d0, 0x31c95f32, 0x66550fc5, 0xa733a6fb, 0x44938f1f, 0xd708f4b5, 0xcb804e98, 0x3b6aa538,
+    0x66004acd, 0xbf33156a, 0x1904709c, 0x8441ab9f, 0xf0ca74c4, 0xd32d16a2, 0xc1ebc64f, 0x409597b6,
+    0x53bd7066, 0xc0a014ab, 0x48ad193d, 0x18c7c761, 0x9d8d9150, 0x61a125e5, 0xcc2de648, 0x4a413a86,
+    0xbddf8cb1, 0x65c049fd, 0x698831e1, 0x4a792b9f, 0xdc4539f4, 0x35e39311, 0xc8acd6ef, 0x7df848d9,
+    0xc291f707, 0x5658d148, 0xf1be02b0, 0x0929e8e4, 0x4d85b455, 0x39c44886, 0x4246ea19, 0x3371397f,
+    0x097bee94, 0x0ee690d1, 0xff332e26, 0x83a5027c, 0x9650b26c, 0x0dd1d2dc, 0x3029c672, 0x82f9b0be,
+    0x23a4fe06, 0x688b18d6, 0x72db8dc2, 0x489e2be7, 0x97628a78, 0xaac87714, 0x69035765, 0x2fe41f89,
+    0xe3f8060f, 0xdd447614, 0x5bfa285b, 0xa76a3d2c, 0x3c02ecff, 0x32d1a749, 0x50925e04, 0xf15dd6c5,
+    0xd27d8728, 0x99c73b07, 0xb648fdd9, 0xbf175ea9, 0x618cc4d8, 0x952bb1e3, 0x90ed7689, 0x28d11d23,
+    0x64d73575, 0xd2d0aef3, 0xf16dd2ee, 0xf96dc24c, 0x385bc5af, 0x558bd435, 0x4b57bc0b, 0xf5ffe5c1,
+    0x90b73550, 0xbcea2020, 0x00f1ed42, 0xb7507fa9, 0x3f96d4ad, 0x68e289c4, 0x054d2648, 0x29d8d574,
+    0x87936937, 0x64b7fd8f, 0x5719215e, 0x957b1f4a, 0xdc65c8be, 0xe39ebf46, 0x36f0f29e, 0xf1c56843,
+    0x49d9fffa, 0x2e7052f9, 0x126272e2, 0x432c5885, 0x23c46e64, 0xfaa7964b, 0x869abd4d, 0xec5d81e4,
+    0xe0230c34, 0xbbf11bf6, 0x0e5170f9, 0xc15d99c6, 0x91ccd710, 0x13d17dc6, 0xfbca8cfc, 0xa5711ca8,
+    0xc5e795d9, 0xc7c49648, 0x32fcbdac, 0x53e6cb9d, 0x478ff53e, 0x4af4cb08, 0xcbf107bb, 0x147e5e97,
+    0x235ad54a, 0x626fdf02, 0x8e776ecf, 0xf8c7a2ba, 0x37619b13, 0x8f95acc1, 0x5d13d762, 0xa3d2ade6,
+    0xcdbe5860, 0xd1218963, 0x13b9f9ed, 0xfcbf4ee9, 0xa9e98f47, 0x7c2954e3, 0x07a32d55, 0x8ed48e36,
+    0x73b13fdc, 0x46dbf2ec, 0xe2b619eb, 0x46e3764f, 0x212ec8ea, 0xc9169ee9, 0xd9e600fb, 0x79c8a9a2,
+    0x7fdc9dbb, 0xf58f7bc9, 0xe5a02aee, 0xab35e7e5, 0x87bbe33b, 0x449ed87b, 0x1cbfd86a, 0x4ec0e8ce,
+    0xf29b5836, 0x87f7fcbb, 0x37914960, 0x46dac0c2, 0x237fc8ab, 0x283434fb, 0x849cef27, 0xd00d5440,
+    0xdf473b41, 0x332d88bf, 0x1765d3b1, 0xa35cfb87, 0x6462a926, 0xb4657d05, 0xb70ac1d7, 0xd78f5315,
+    0xb1a840fc, 0xb720ceef, 0xbee43a82, 0x573a8313, 0x7e0ccd33, 0xf5750bd9, 0xf88b7276, 0xf4c39d0d,
+    0xc9fc7ee6, 0xd4ef4d8e, 0x33323369, 0xa3edd163, 0x0eea2461, 0xd908647b, 0x965647c5, 0xe42ca18a,
+    0x872b8bc9, 0x569f53c1, 0x1a2165f8, 0x48bcf594, 0x1c093c2e, 0xb064c684, 0x8632a278, 0x22e60819,
+    0x38e88418, 0x36f2b696, 0xa80e0479, 0x48296c42, 0xd0873764, 0x170a2969, 0x771f014a, 0x2425cae9,
+    0x7bd83319, 0xf66717b7, 0x6d3f31b2, 0x1c474ec4, 0x2258dfc5, 0xd49a40d8, 0xc6b42e39, 0x4cc5e0c0,
+    0xc9535a6b, 0x4bc62227, 0xb744b5d4, 0x0f68621c, 0x70b1f35a, 0xb93b3e52, 0xb8e33ebc, 0xd05f532e,
+    0xba7b7366, 0xf14fa629, 0x79785477, 0xcf12b999, 0x58383ce2, 0x597fb35d, 0x982514c8, 0x2ba52086,
+    0x3af7bdf5, 0xc2baed25, 0x8acdbdb4, 0xe3d5cda8, 0x2b9515d2, 0x95bc8db2, 0x6525c763, 0x4e49d779,
+    0xf59ea145, 0xf3932feb, 0xed679b33, 0xc9f6b485, 0xec551aee, 0x8d3bdbbd, 0x9041b18a, 0x5d6895a8,
+    0x952b4ef4, 0x9a860cf1, 0x0ed07e25, 0x42b0aad5, 0x048ed3ce, 0xfc46ded8, 0xaaf572e4, 0x112ab5cf,
+    0x3ed42bd8, 0x7e1c63d0, 0x17389fae, 0x142bb5ca, 0xcde1da68, 0x1d70a2fc, 0x00aa68ec, 0xfa4f1cb8,
+    0x58e9a17a, 0xd58e307a, 0xd3183fce, 0xb4a04b94, 0xdfa0aab5, 0x87651ebb, 0xb516a5a4, 0xc4c1959c,
+    0x872ef65d, 0xee5ba18a, 0x1cc9c177, 0xe5e9a319, 0xc6adeddc, 0x786b5bd9, 0x0b2bfc2c, 0x93613466,
+    0x2dca6134, 0x4bec7833, 0x20824e8c, 0x9fd92f85, 0xeca4155f, 0x835502db, 0x5c9e3154, 0xc3dca193,
+    0xd36abcef, 0x92851e24, 0x7b5ec551, 0xa94c50ee, 0xe1336763, 0x6d68aa7c, 0x371dee99, 0xcc25406d,
+    0x7b227701, 0x80db2016, 0x6d01d156, 0x20fb4499, 0x4afaf47b, 0xf21974e5, 0x15af9837, 0x9e1fac4f,
+    0x6e3fd688, 0xe3d055e1, 0xf29e15ec, 0x26ccba67, 0x316c01a2, 0xfe208d2e, 0xa78cbbb3, 0x7b74470e,
+    0x5586b882, 0x16004e67, 0xbb8f0a22, 0xb5f3e22b, 0x2b763f76, 0x7e57cb69, 0xdc092b52, 0xd57d68fe,
+    0xcad797ba, 0xa4bb9ead, 0x8229e2d3, 0x2c2f455f, 0x6f9ee125, 0xa58fa6e7, 0x7b74e320, 0x246e6bb8,
+    0x1581c7cf, 0xb4e4b4ed, 0xcf041396, 0xc21fb87b, 0x02bb27de, 0xddc2e92b, 0x16206a6f, 0x963b0d68,
+    0xa29c0d4c, 0x1a0e83c2, 0xf5800c21, 0x27f270fb, 0x7ab537d2, 0x194040a3, 0x74f1f9d7, 0x39241e8d,
+    0xd5838b1a, 0xb41ae547, 0xcc3e6550, 0xca5b6319, 0xdc4b341f, 0xf89f5f30, 0xb0027d11, 0xbbc2f756,
+    0xa0bd1a7d, 0x2b275761, 0x036c40f7, 0x4a63c988, 0xd605431f, 0x5c70c577, 0x99fc54d6, 0x6add1477,
+    0x39c17c0d, 0xc2f34c09, 0x94b8e90f, 0x3726d1d1, 0x8d84ba0f, 0x11c1a350, 0x4bc09790, 0x870b4949,
+    0x8b5fa9cc, 0x7179f1ce, 0xbf0b9f8e, 0x675e47a4, 0x56385d2e, 0xff9010d9, 0xbee474bb, 0x5888f443,
+    0xd01349c8, 0xa2efb69f, 0x0bf019d7, 0x5b64ce61, 0xe093ca32, 0x13f3fdc6, 0x716cdcea, 0xdc1e2399,
+    0xe26646f6, 0xc79f5061, 0xba4e9e6a, 0xfd4ff732, 0x73389342, 0xf7e2fcec, 0xcf25f534, 0xb42c4d5d,
+    0x3615139d, 0xacf078e1, 0x4f157c45, 0x2de5ee0c, 0x3f21243c, 0xf6051fb4, 0xf7fe19a5, 0xa630b4d6,
+    0xc28982b2, 0x270b3f66, 0x49f9f624, 0xaef7d1bf, 0x086afadf, 0x7f94d0da, 0x83750542, 0x02115bf6,
+    0xbfc2a64e, 0x4e8a7f51, 0x2e10cc4f, 0xc4ecbe6b, 0xee082cf9, 0x5a2edb40, 0x680e8d31, 0xd982a1ab,
+    0x00000000,
+    0x4a9bfbe7, 0x62958b72, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000013803492693581127574869511724554050904902217944340773110325048447598592 */
+  { 0x00000000,
+    0x8a78438c, 0x086864a8, 0xe2d78066, 0x5ef87236, 0xa42b24c9, 0x1c20bc8c, 0x102969a7, 0x85a75dc9,
+    0xecced227, 0x0af67eed, 0x0f84da78, 0x0d327458, 0x0608be26, 0x1aad1ef3, 0x45e5f8ae, 0x9c6ef6fc,
+    0x9785cd90, 0x1ea13e87, 0x9ef161bf, 0xfd7c30e5, 0x91142880, 0x44188d89, 0x4a756818, 0x775751d5,
+    0x458f5885, 0x01f5831a, 0xbeddaf74, 0x1f5ee847, 0xed8dcc6e, 0x3a21849d, 0x48373c7b, 0xa60fb45a,
+    0x4b2d9237, 0x9d7b21ca, 0x4432d49e, 0x23bd6b57, 0xade18e96, 0x30bdbc36, 0x56ae0a3f, 0xbda84cfb,
+    0xa2b4d3d9, 0x685014ba, 0x628e80af, 0xa2bd0a4b, 0xaf7e0ae8, 0xde55f251, 0xee52dd59, 0xdab80fcd,
+    0xe8c0c279, 0x151cac66, 0x04dac2fb, 0x92a9cab7, 0xb6260000, 0xbd5f76e7, 0x86ca72ab, 0xfdd19f73,
+    0x829e7c6d, 0xbee82fcc, 0x223a6e6a, 0xd00dac37, 0x752640e2, 0xeb35c6ba, 0x12f19312, 0xdfe9a6eb,
+    0x165fd4e0, 0x91fa931c, 0x39ffd240, 0xdfddd5ff, 0x921ddae0, 0xe9414f1e, 0x6e88dacc, 0xc3013c45,
+    0x3f0a06c6, 0xcc015de4, 0xac732c16, 0x06970b30, 0x83528ed9, 0x8d38b8e1, 0x5fc15341, 0xed75e670,
+    0x8e61aab6, 0x4d67d43e, 0x0823b56a, 0x644387ae, 0x6e1405f7, 0xdbb3c93a, 0x7e139e4f, 0x9a518f77,
+    0x07268083, 0x9aef4461, 0x851a1774, 0x496c80bf, 0x8e21aa69, 0x17e42f87, 0x0df0410e, 0xcc6200e8,
+    0x8effc3e3, 0x20cf4e85, 0x2ec5c213, 0xc0f9af1a, 0x35c1eef4, 0xbd4e32c8, 0x1dc586c6, 0x436f92c4,
+    0x6550f62f, 0xd47251e4, 0x0858ebbc, 0x08224b80, 0xffe175d5, 0x1f9ae9b9, 0x897bc2ee, 0x9c611aac,
+    0x9d63f6fd, 0xe24dab98, 0x89420f92, 0xbf74a795, 0x72df1c1f, 0xf8486754, 0x2f40e0cb, 0xc31b5e1f,
+    0x0a00d986, 0x6677c647, 0x9d7322ad, 0x3c0439a8, 0x5bc2953c, 0xd5f20266, 0xf0423708, 0xa77e8540,
+    0xe8b6fb60, 0x33ab8259, 0x1b1aa28a, 0xf76a2c8c, 0x633fca0f, 0x900c6329, 0xa0c71bbc, 0xc835fd21,
+    0x57a7154c, 0x0bc95488, 0x3a40c094, 0xcaf23daa, 0x8da7ed45, 0x0c5a8285, 0x98b33f4f, 0x9b7f5a30,
+    0x004386bb, 0x119da6fb, 0xdb60f440, 0x3e7c49f1, 0xf7e156e4, 0x7d8e7848, 0x0d39432d, 0x1ebea2f1,
+    0x82d59481, 0x8422238f, 0x37a332ea, 0x1b11ad76, 0x1668559c, 0x04c9a6a3, 0x255afda1, 0x10a5a970,
+    0x784075a2, 0x5491826c, 0x1c2fef23, 0x9df729e4, 0xf795b6dd, 0xa9d28240, 0x1bc29947, 0x26183eb6,
+    0xaf7eda18, 0xd098659a, 0x31c1126a, 0xf37eb414, 0x3507aee0, 0x1d340eab, 0x6ceecaf1, 0xe3970061,
+    0x1e92f71c, 0x9d10cfee, 0x43b7525b, 0x33debd31, 0xa0ffa94c, 0x2f193d23, 0xeb30a255, 0xf0f031e9,
+    0xcbe81a32, 0xbec9770c, 0x21844423, 0x84f2afdd, 0xb079d42c, 0x9693fb7a, 0xb7d5f11e, 0x491e30da,
+    0xfae04b81, 0x599bbc54, 0x26a549b8, 0xf15e884a, 0x78effbb1, 0x640b21d5, 0x717e9048, 0x27facbe4,
+    0xbdfac98c, 0xb69e3078, 0x88df1d2f, 0x779a7976, 0x09474d2a, 0x7ba0e56a, 0xd4e2db5a, 0x613490e8,
+    0x47f5b97b, 0xfb70c9cd, 0xa6cc31cb, 0x4d6c7c0e, 0xbf708be5, 0x5a691d99, 0x400fcbb7, 0x26465d9e,
+    0x171993da, 0x0e0c9a9b, 0x5e9cf6a5, 0x31bd9771, 0x3eae0686, 0x66e72bca, 0x68adeb37, 0x2b2f4344,
+    0x989c4728, 0xabc2a9b9, 0x51b3797c, 0x126e2088, 0x70d1fc77, 0x74e22d59, 0x4f96207e, 0xf8b5b8a6,
+    0x2005790a, 0xcf93b10e, 0xaa15d738, 0xdcee60ad, 0xbe487e94, 0xc20db328, 0xc03d5a6b, 0x8f37a379,
+    0xe1fc379b, 0x290b2108, 0x4ea79474, 0x39d0bc58, 0x0a3200c1, 0xc71086fb, 0x6878f198, 0x3d438d11,
+    0x13875fd4, 0xa2c4c521, 0x8a7afd32, 0x14f5d79c, 0xc134c39d, 0xc9e9cbb1, 0xa46b395f, 0x684a9812,
+    0x36954b03, 0x2822c8bc, 0x55883fbe, 0xfa5be48c, 0xc2110b23, 0xfbcdb945, 0x8617890f, 0x43a8324a,
+    0xc972f8d5, 0xa60a66dd, 0xadc0301b, 0xfa399f5e, 0x424a72f8, 0x8208fc6e, 0xa795a68f, 0x77309670,
+    0x4d0079ce, 0x5ce7feea, 0x14d0bd52, 0x2c2f3434, 0x05efbd16, 0xf7f243c9, 0x531f0bcd, 0xe9475d08,
+    0x4ca7f143, 0x53b38a4b, 0x73248bd2, 0xa0baafd0, 0x2d78ee51, 0x30a2b9e5, 0x54589d9a, 0x096ab3e1,
+    0x6b48f1bf, 0x8cd8847e, 0x6271f82e, 0x905fc8aa, 0x1b923aff, 0x16dc62e8, 0x740bd107, 0x8ee902d8,
+    0xa8a5e9e6, 0xa0dc20f8, 0x1b3ee961, 0xf8b219e4, 0x95f067ec, 0xe08cca97, 0xdb70ac9e, 0x9e83bb6d,
+    0x4cb5eeed, 0x0422ef23, 0x64253fd4, 0xe5948c76, 0xe53e5d38, 0xbe8ef72d, 0xf3dd22ed, 0xd811a13a,
+    0xd131b102, 0x4c51ce3d, 0x8d3a0aba, 0x20a7aa38, 0x182fadc4, 0x7b7c7b8d, 0x11e18db0, 0xd3824611,
+    0x798eab34, 0x1e02cebf, 0x3f41948e, 0x6e44db78, 0xd15bc39f, 0x5633c3ee, 0xebb833d7, 0x0d31e0ce,
+    0xced6b000, 0x4411eede, 0xa9d92f44, 0xeceb8998, 0x98994939, 0x67f3a251, 0xc546e676, 0xce8e6632,
+    0x6b47ee04, 0xeba0c35b, 0x7ae212a0, 0x31dc1fa2, 0x39ddc49a, 0x9c403d0a, 0x5b3dc62e, 0xa09e9cc4,
+    0xa9f1528b, 0xcdbf372c, 0xb71e4748, 0x04361ff0, 0x067eae04, 0x4b8bffbb, 0x37abcab7, 0xc3cbdab4,
+    0x69bf62ff, 0xd6973b70, 0xa92824be, 0x3cfd028a, 0xff7f685d, 0x83cb666f, 0x2eb67817, 0xbb2bd575,
+    0x19b0f1b1, 0x04da65ab, 0x053e3c09, 0xf134fe86, 0x39c7bd82, 0x4623ab41, 0x7e32dee6, 0xcf19fe3d,
+    0x9a2c0d77, 0x390e8a2b, 0x5ab1e868, 0x1bce8ef9, 0xa5df4eb9, 0x3b8ea632, 0x35dd08b5, 0x5572ffcd,
+    0x5160f9b0, 0x49d3c7e4, 0xdb81d26b, 0x54f9d1ec, 0xe8e0b116, 0x0a66fc5f, 0xbea78e7d, 0xfae2bc97,
+    0x8ad69c8e, 0xab474081, 0xf6ff23b7, 0x573ad815, 0x79344d7b, 0xfc414fc6, 0x59eb0712, 0x84943764,
+    0xb7a9c46f, 0x24c2321a, 0x03b6919f, 0x8d8fc782, 0xb8c41dce, 0xdbe858b2, 0xb0a3697a, 0x0869f265,
+    0xb147c0c7, 0x6b5f556e, 0x381a82fd, 0x8023a04b, 0x0ae09feb, 0x5c159350, 0x5706e996, 0x818e6a58,
+    0x22d9b17e, 0xa943137a, 0xb8b89d37, 0x067dcc1a, 0x15779628, 0x0a0a1493, 0xd37dd057, 0xde42ab3f,
+    0x81423a6e, 0x453c697f, 0x962404a0, 0x4bd87c6b, 0x0b92ce86, 0x5e016733, 0xe83a52e9, 0xccc87789,
+    0xbce0097c, 0x5e304011, 0xce8292d6, 0xf804fedd, 0x8e771191, 0xbcd5f8b8, 0xc69fadd2, 0x34496c88,
+    0xb6b2ddbd, 0x7b4285aa, 0xadba7a6c, 0x50c10ca7, 0xbd1bf6f2, 0xbecec993, 0x33ab3b06, 0xc3235e01,
+    0xadcc04dd, 0xd9459e3f, 0x82bdc2ba, 0x36b4174c, 0xeab2cb0b, 0x37f292a9, 0xb96e0cf5, 0xea36fc2d,
+    0x65b05e06, 0xc67c9cb2, 0xefb7faf9, 0x3c65bfb8, 0x9a3cee6b, 0x10d14bc7, 0x4c7b058d, 0x573c8fe4,
+    0x4e1206ec, 0xf75ee5a0, 0xa931ace9, 0xc918c479, 0x0d2a6072, 0x497de64a, 0xeb412e7d, 0xfc5fc36b,
+    0xc152ec02, 0x992d1621, 0x8195183d, 0xb93dc511, 0x4c2f23c5, 0x8798d0e9, 0x9a3b00a2, 0x2f42c30a,
+    0xaff3d5be, 0x8fae9d00, 0x19622690, 0x9dbbf15f, 0x37f558aa, 0x0f5fa136, 0x87fb0a0b, 0x666cded4,
+    0x1e83a6c3, 0x54637b06, 0xbc1011a3, 0x79c634d0, 0xcbb93239, 0xce5e36c2, 0xfa6514b7, 0xced122bd,
+    0x902c7a59, 0x60a68074, 0x5e7dbeb6, 0xb894977f, 0x3236cb8b, 0x327fc718, 0x1e1b201d, 0x34169b2b,
+    0x7018d2e5, 0xae9fc332, 0x8c4a6df0, 0x2a3004aa, 0xc02a25f7, 0x8382f12a, 0x7a2a5590, 0xc8b181e0,
+    0xea4aceb0, 0x0c694872, 0x7003cdd9, 0x0ba033d4, 0xc956e593, 0xd557a0e9, 0x9278c520, 0xeaccdc8b,
+    0xc5d2a648, 0x94a6b8e9, 0xba491aed, 0xd2d8571c, 0x915b089d, 0xab6e45a8, 0x700ba734, 0xefd4f8b5,
+    0x1a12ec48, 0xa885eec6, 0xbf99c20d, 0x4f712bb6, 0x2c07ddc1, 0xe79d6acc, 0x71f22b20, 0xde5716d9,
+    0xf6ebd5ba, 0x29b57f45, 0x32506790, 0xb09d02ef, 0xdf9a3263, 0xc0f758e0, 0xd6b94241, 0x61bc5168,
+    0x6e8a3ad1, 0xad366065, 0xf68c919f, 0x88f0bcda, 0x441b5294, 0xff104a10, 0xc719a2a8, 0x57cf3320,
+    0x46f481ef, 0x7788e09c, 0xcbbfa279, 0xfda8416c, 0x289aefc0, 0x6dabbfe1, 0x625e8b93, 0x8a1cd69e,
+    0x6aef33f6, 0xe732c833, 0x586245e9, 0xa2fb03a3, 0xbd91d255, 0xf295440d, 0x56904c10, 0xe8e617ba,
+    0x269109eb, 0xed5d9345, 0x61175a97, 0x6ffd5d27, 0xe38ca5b3, 0xdbc6efd8, 0x8d04c824, 0x790d1d16,
+    0x8b0e3754, 0x62299433, 0x15ddf124, 0xf01c50af, 0xe809c086, 0xcccb6c3d, 0x17846f8f, 0x09cec635,
+    0xc34cff79, 0xdb7fb745, 0x16905f75, 0xe06881e7, 0x79abe024, 0x1bb9f5f3, 0xf6c39b1a, 0x6cc81502,
+    0x708d647a, 0xbabf3a66, 0x62bcea33, 0xa7a45aa9, 0xf13ebafe, 0x530cb42e, 0x41f04619, 0xe139754b,
+    0x32e97757, 0xdfc296a8, 0x4f4f76a3, 0x551eb40b, 0xb57ebe84, 0x513f48c1, 0xd7095bec, 0x9becd2a9,
+    0x7ed007d6, 0x0c333c89, 0x5a210c4d, 0x3fde39e0, 0x63b6e74b, 0x97d9d473, 0x9c32a2fb, 0xdcf510ae,
+    0x827ce2b4, 0x6b74a043, 0x804bb8d9, 0xc46a48a7, 0x946d22c0, 0x3b193fff, 0xa0a035cd, 0x41cc0a89,
+    0x884a6421, 0x9dabf40a, 0x3ad67f75, 0x8faffadb, 0x0b7c1c90, 0x74a530c8, 0x898c9e7e, 0x28415da3,
+    0xb37d50fd, 0x44764b58, 0x997db0e7, 0x0a3866d6, 0x655d473b, 0xae66a0a6, 0x28e5ffc2, 0xab1e83fe,
+    0x60e4c5a8, 0x1f90e674, 0x77cd58df, 0x9391412a, 0x62d7852f, 0x3391f7c3, 0x6fe99565, 0x912b4698,
+    0x9ba1645e, 0xf1b0cc6d, 0x9bdcb2cc, 0x1c587442, 0x252631ee, 0x8af7e74b, 0x689a2775, 0x79f23d60,
+    0x40f6451d, 0x0e8c8397, 0x836fb441, 0xbc6e4615, 0x5a5064b1, 0xc51b7298, 0xcf34e004, 0xd78df902,
+    0xdb6032c3, 0x38847c05, 0x954419a8, 0x3d8f6c04, 0x39e30c96, 0x45e189c7, 0xdc364272, 0x394b1c57,
+    0x3dc4bc3a, 0x737b59f0, 0xc6e28642, 0xf6048bae, 0x688b283d, 0xcd63bc47, 0xde660b33, 0x726c2653,
+    0x69ff101a, 0x42e35d52, 0xcbccc3fb, 0x77852112, 0x492bc5a4, 0x65258a6f, 0x5f3b42a9, 0xee677e48,
+    0x6e155927, 0xe93d28f9, 0xeaa638c4, 0x7086b3ca, 0xa320d254, 0x353f3f28, 0xbfb7e360, 0x569bf18c,
+    0x613694aa, 0xf11f421e, 0xe190c6d6, 0x6b3c161c, 0x7780dbe9, 0x048e750a, 0x5e43a5e0, 0x298b8cf3,
+    0xf00fb2d3, 0xdacdd730, 0xb1a13ad6, 0x2bac36b0, 0xc5ff4f35, 0x2f769f49, 0xaf5d692b, 0x00a45a0c,
+    0x5fe5dead, 0x546ceabd, 0x1c1a7dad, 0x945d1e86, 0xe3215797, 0x8904aa02, 0x52800a21, 0xf339aee3,
+    0xd0c58e7e, 0x39e03b8a, 0x4b2ea384, 0xad40de97, 0xd592c5f9, 0x7e0c3d43, 0x5536d199, 0xe37c057f,
+    0x4f2e1ba5, 0xb1742197, 0x5084c6b9, 0xb08646dc, 0xc68d9abc, 0xbe2a76b8, 0x262d3155, 0x127815b0,
+    0x8bd86c3e, 0xb812c0ba, 0xd036d134, 0xd00c73eb, 0x9bb98ee1, 0x8b0e1d3b, 0x0f7b4403, 0xbe7bb3ed,
+    0x514e7554, 0x24f3b68b, 0xe4b5f0c1, 0xb0cf2e6a, 0x5d96f919, 0x1907a1e9, 0xaf80d0d7, 0xe243f2e7,
+    0x49bedf13, 0xef510fa9, 0x05af727b, 0x71795c3a, 0xaa1cede3, 0x233457dd, 0xfaa03148, 0xdaf5165b,
+    0x2a9a1f0e, 0xc9172402, 0xd66063d1, 0x91db9cbf, 0xb335a58c, 0xad3914fa, 0xf44c2c2b, 0x9359232a,
+    0xe48d65ee, 0xb92c4de2, 0x1db469ee, 0xd53452d6, 0x42e8fb77, 0x0a24df5a, 0xa806e0f0, 0x339973a6,
+    0x9dc120a6, 0x15f528a5, 0xb1f66c4a, 0xad4ea36e, 0xbc130549, 0x1d0b50f7, 0x5b7ad871, 0x5b1b2191,
+    0xed7291a1, 0x246cfb3e, 0x02df1ffb, 0x110047a8, 0x32ba7075, 0x0e7889f9, 0x9b33c2ab, 0x775decd5,
+    0x5fa8793a, 0x232de90a, 0x46a2af38, 0x95ab4d76, 0xa9c7d917, 0x0a6f4f2a, 0x1d52755c, 0xbe5e34cf,
+    0x9f73d4f4, 0x62729419, 0xb05c5c40, 0x211935e0, 0xd303d130, 0x191e30be, 0x5f118441, 0x3c68eca2,
+    0x55f3646c, 0x666ea596, 0x3555f72c, 0xe089b422, 0x9a03a8bb, 0x6ec345f2, 0xc35025c3, 0x7cb53113,
+    0x9d7f1713, 0x0b8254da, 0xa9654c0e, 0x96d743b5, 0x2158c9a6, 0xa70a3a32, 0xf9e2a972, 0x4205bbff,
+    0xa8eb3615, 0x79c40929, 0x5d8b8035, 0x018dd8b7, 0xf03eec60, 0xa1e445fe, 0x9730f6da, 0x7b7ce9b9,
+    0x54edb043, 0x73f48ee4, 0x915562a9, 0x08648567, 0xac6c335e, 0x7f4e4e52, 0x1616a39a, 0x90a13428,
+    0xc622c525, 0xaf90be92, 0x01bf90e6, 0x8a052f66, 0x63d6562a, 0x70cc098c, 0x397770fe, 0x5c82d0fb,
+    0x99a9a659, 0x284a43a2, 0x699077a0, 0xcfdeca2d, 0x96376e9e, 0x49fa629a, 0x65f0218d, 0xb305cfa5,
+    0xedf96e4c, 0x373dee75, 0xc3dc27e5, 0x00040efa, 0xc8d6a6ea, 0xb093b243, 0x6874f820, 0xba03739b,
+    0x7823c9ed, 0x01311286, 0x3ed13002, 0xc73d18f6, 0x1e8bf5ee, 0xcb72a04d, 0xefdb0371, 0xb498d281,
+    0xd6248c08, 0xb915d91d, 0x2b9c9eb4, 0xaeaa1a7e, 0xb1e80547, 0xc561f392, 0xc003ce68, 0xbfd12efa,
+    0x810c74f1, 0xe9332c57, 0x27d80b7a, 0x87d4e963, 0xb808c580, 0xaa4e7cd6, 0x8dee29b9, 0xa42d5139,
+    0xe7fada13, 0x9fdfea3b, 0xe50fce18, 0x0fb1203c, 0x2d261712, 0x40c020a2, 0x0bac1f44, 0x28bdb038,
+    0x3d0eef30, 0xc4a8effe, 0xfcb5b70a, 0xc2d174bc, 0x1e123f03, 0xa5a25991, 0x2f4beefe, 0xb9840d7b,
+    0xb473fb11, 0xdb42dfc7, 0xf63184f5, 0xa0daa6f2, 0x1febb207, 0xdda30c61, 0x237c05b2, 0x42216997,
+    0xad7bec7b, 0xd83e4dba, 0x97774212, 0x438847e1, 0x87289779, 0x57c00d03, 0xc84adc9e, 0x0d745051,
+    0x84fa0bcd, 0x4a96979d, 0x2480939c, 0xc8fca999, 0x26ffb984, 0xa7a679b0, 0xc1fbd87e, 0x0ed3067c,
+    0x83ea8dcf, 0xc099cf9e, 0x7f4f271e, 0x69a70b6d, 0xb9d6efe0, 0x7e2ce866, 0xe6c01e52, 0x91c0acc3,
+    0x7dbc573c, 0xf486e8c7, 0x2a7b3bd8, 0xc493e502, 0x1fce5571, 0x4e1c01a5, 0x45bc50aa, 0xfcec0a58,
+    0x6cf2be3f, 0xaf8ccfcd, 0x09c231c1, 0xde0e9519, 0x78132ec6, 0xb88b740d, 0xc358ad01, 0x20ee8498,
+    0x76163386, 0x4618593b, 0x025e99fc, 0x0e0d4f01, 0x6b81c122, 0x94b85142, 0x32255db8, 0x5eb378cc,
+    0x67de7777, 0x343e5423, 0x29fa39d4, 0x845169be, 0x26b4d0d4, 0x3468a6f0, 0x63f6bf88, 0xd64c0184,
+    0x106932a7, 0x9aa90912, 0x11fef881, 0xed787b1d, 0xd6e9dcd1, 0x3e5a90e9, 0xe1ffa415, 0x169d793a,
+    0xd1af8d31, 0x1480f8f3, 0x36ab2c4c, 0x1195f9a7, 0x6e0d1ef2, 0x5c1b4612, 0xe82a088b, 0x0666bdab,
+    0x344eac7f, 0xe1c4b420, 0x28b94af4, 0x20088653, 0xd10da24f, 0x619f09ca, 0x69b34d59, 0xf141a3a7,
+    0xf64b2f13, 0x66ce4333, 0x23117d05, 0xb80f0dda, 0x655ba43d, 0x83bf7cee, 0x94aeb7e0, 0x766706d0,
+    0x96436521, 0x37d14bbd, 0x3c37cb18, 0xbd361ec6, 0xe0c483b2, 0x4e15cb4b, 0x9cb4cc6c, 0xca9b0275,
+    0x69cb66f4, 0xa753f79e, 0x78174a6a, 0x43edd177, 0x3f3aea70, 0x463c7f74, 0x6b88981f, 0xa6db6f9b,
+    0x00000000,
+    0x254dfdf3, 0x314ac5b9, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000006901746346790563787434755862277025452451108972170386555162524223799296 */
+  { 0x00000000,
+    0x0577510e, 0x9ce59dad, 0x750842b0, 0xa695077e, 0xe1ad6a3a, 0x500b59ae, 0x8346a2fd, 0x47fc6285,
+    0x75e8ad9e, 0x7cf78a53, 0x76da2cec, 0x490cde92, 0x6e918308, 0x21ad19a2, 0x6abf7036, 0x0d6c537e,
+    0xd0e5a625, 0x2ec876ab, 0x25299b25, 0xa566beac, 0x3edcbec7, 0xc07b1407, 0x2e74b417, 0xb294dd49,
+    0x1a72e09a, 0x5bd4aca2, 0x9cdca3b6, 0xa7fc0a0c, 0x633d10c7, 0x51c7a4bb, 0x180365ca, 0x05ac2561,
+    0x2d42d562, 0xdeb3c16d, 0xa8634e14, 0x4f0c10ac, 0x71b8e8ac, 0xc7197b22, 0x4af22a80, 0xf54b1c41,
+    0xb48f051a, 0x77376e6e, 0xcb3d8cea, 0xf41d863d, 0xbeb25355, 0x408cff9b, 0x578200ad, 0x3e41939b,
+    0x7da4f2af, 0x54b7bd78, 0x99cc2bf1, 0xefbd5ffe, 0xd21c9000, 0x364f82ff, 0xffae8997, 0xd0161dcf,
+    0xadc4ab90, 0xe0d040b2, 0x46777c39, 0xd19086f0, 0xa36cc378, 0xc9716aef, 0x1e258ded, 0x71fc32f2,
+    0x74adb28e, 0x976c6704, 0x70fad659, 0x9c433747, 0xc74fae5a, 0xa1efa778, 0x11664a79, 0xa62787fa,
+    0x4c7586b4, 0xf08ed17e, 0x74b0405c, 0xe9eae3d7, 0x5c511e07, 0x2c5a5ec6, 0x5266abac, 0xe03a0bd5,
+    0xbd061334, 0x6ae8eef9, 0x4faf43fd, 0xdb1ae055, 0x6a753708, 0x3ab86ca1, 0xce2a121a, 0x09dc8baa,
+    0xb5907aa1, 0x12871e32, 0x2988e717, 0xa5f12607, 0x7b78557f, 0x7c96b213, 0x554e63a4, 0x298da38d,
+    0xc1d70ee9, 0x2ed4683b, 0x18e8cd6d, 0x8bc59d2d, 0x4a3ebf65, 0x71cb8025, 0xec65a497, 0x40468c6d,
+    0x0770769e, 0x64b1f3d8, 0x2ec35140, 0xf6032d51, 0xebfcf672, 0x77495ecc, 0xfdf71b22, 0xe2064558,
+    0x688ea05a, 0xbccd3920, 0x9fb43e1f, 0x53a70047, 0xb5f15c02, 0xa3f2da10, 0xe9465469, 0x38884b2f,
+    0x6b46e0ae, 0x1a75665e, 0xff3ef8e0, 0x6d0e4d57, 0xb1fb985b, 0x6e1fae08, 0xbba36f15, 0x863bc11f,
+    0x908e7e9f, 0x82ccaaa4, 0x069e71d6, 0xb81f3bbd, 0xf63aa93c, 0xcf7e88bd, 0xdc6abe50, 0x9c7465a0,
+    0x8b3527e7, 0xf36c1749, 0xad3d4829, 0x18d61469, 0x7a6bf592, 0xa08a5a02, 0x14fd7421, 0xa19bb9f5,
+    0xf2766c1b, 0x1223e641, 0xeb06016e, 0x0c4ffcd0, 0x786eeb25, 0x45cfedf6, 0x0f8c5c74, 0x23bd6713,
+    0xe0284810, 0xfe951a25, 0xdb79e7d5, 0x2bc9f664, 0x45dbf4b4, 0xfa31b5c3, 0x8efe13cc, 0xdd06d99d,
+    0x1fb8a915, 0xc73ef4f7, 0x78d38c07, 0xf2b8ba4a, 0xde2515f1, 0x52847cae, 0x0472d4f5, 0x9ad8c7d6,
+    0x7e24af84, 0x9cbc5a20, 0x940c1abc, 0x21dc05b3, 0xee48de5d, 0xab4959d1, 0xf1b59b98, 0x0569b443,
+    0x9ed0e332, 0x41035b84, 0xee718a06, 0xa8b94698, 0x5ff31b45, 0xd0af48e9, 0x6862cee3, 0xe109d4ee,
+    0x817a16ee, 0xb6eb9c83, 0x80500b28, 0x26c994c7, 0x8ccd45ad, 0x8c01aaa4, 0xaf4d8408, 0x92d2652b,
+    0x287e486c, 0xc540f26f, 0x74e29085, 0x63107314, 0x0643fab2, 0x7876039b, 0xe6d47976, 0x34d5bc66,
+    0xaf5f2a00, 0x3ca9adbd, 0x6f09f30e, 0x637871d6, 0x11e27a8e, 0xb6b9d6d2, 0xbb4fb79a, 0x13fe4fe3,
+    0x800bc267, 0xec462915, 0xc50ba0e6, 0xa69ab942, 0x36bd93fa, 0xe2db1caa, 0x71a95b12, 0x197b5619,
+    0x32865418, 0xd715473a, 0xb15c7a78, 0x686bd108, 0x31beb2d4, 0x2fc9b2fe, 0x30046001, 0x9758bd78,
+    0x75585243, 0x50180239, 0x86d489ae, 0x0fcacc0b, 0xfacf5c35, 0xa36a1496, 0xf7515412, 0xbf4e6f6c,
+    0xad8b5f08, 0xba854ac2, 0x14fd1195, 0x32558f99, 0xf77c79ac, 0x86feaf14, 0xbcf08d50, 0xe9ac55ff,
+    0xd6d623ca, 0x1b3e9346, 0x3ff71c3c, 0xf917b236, 0xc2be1bed, 0x5b6f1a0e, 0xe94a5c61, 0x44748392,
+    0x8e9ec094, 0xec1944b1, 0x69a36e31, 0x8e63ceb9, 0x40e68370, 0xb7540925, 0xc384b052, 0x392a277a,
+    0x30e94bab, 0xbac73b50, 0xf991e9d0, 0xc63c2c7c, 0x709eb957, 0xea98206d, 0x065520e4, 0x70408b2d,
+    0xe707b23b, 0x7cefcb0d, 0xdf30810d, 0x83fee4a4, 0xe04cc739, 0x08d99155, 0x4cd713f8, 0xa87ec0f3,
+    0xd064cae1, 0x98719f0a, 0x62246f6b, 0x437e5634, 0x391c6b18, 0x2480501a, 0x60d4796c, 0x7647a755,
+    0x9d41f430, 0x83b895df, 0x229b073f, 0x679ab248, 0xe87fe413, 0xd8b0412a, 0x5c78d5dc, 0xe9408cc4,
+    0x4c0aa7f0, 0xc16c6caa, 0xb49fb723, 0xe517d2d0, 0x9fa2e7a5, 0x228a55cb, 0x06fdf813, 0x1d73ef62,
+    0x6e3d2358, 0x22a66aa9, 0x5115542a, 0xafdbd7f4, 0x15c3b27e, 0x02b6cfee, 0x8f0fa318, 0xccacbe4b,
+    0x4b510051, 0xbd985061, 0xb5097c75, 0x51c62abf, 0x1701f025, 0xa82b8f20, 0x0b7a5fd0, 0x55fefabd,
+    0xe4f4297d, 0xfa611dde, 0x2dea06d7, 0x119a3298, 0xe93399f1, 0x11bcb469, 0x0d526801, 0x364f7b67,
+    0x90621c76, 0x75b9567d, 0xaa109a9b, 0xafb5b346, 0xe75b1b69, 0x7ece7d25, 0xe5440d56, 0x3f6fb3ba,
+    0xe9c634ae, 0x32fb1f13, 0x11c5cb48, 0x4b64ded2, 0xc2941889, 0xfad440bb, 0x53b96426, 0x6e5a10c5,
+    0x69b66116, 0xd4f096f0, 0x58b46bac, 0x1d164f20, 0x409b9b45, 0xb9f17f4e, 0x85d24970, 0xca0c913b,
+    0x41b48b5f, 0x4cbb3c8d, 0x882c6896, 0xb8f2bdd0, 0x709f1b3e, 0x4aa81cc1, 0x2080abcb, 0x0dc99c00,
+    0x65034e99, 0x2027631e, 0x2b6cbe9f, 0x10e0c756, 0xc6743bfc, 0xa5293898, 0xd9055e4a, 0xc08328e2,
+    0x14d67c25, 0x948a7b02, 0x45f1d4d6, 0xf2dd59ae, 0x5a1d68d5, 0xc495332d, 0xd8074c22, 0x0ecec9d6,
+    0x777db42f, 0x75e5134c, 0x5817f04d, 0x7e886571, 0xcd763b42, 0x97b0dd72, 0xa19e55d0, 0xfb0fa88b,
+    0xe8197d74, 0x647a1880, 0xa3136ae7, 0x424bb83d, 0x27fedb7d, 0x61fa865d, 0x406d8bea, 0x2464d419,
+    0xb03d713f, 0x568e9034, 0xad4587d7, 0xa1d186fa, 0xda266115, 0x3825b71d, 0x1f1f3fe7, 0xb69e96f7,
+    0x2cedec57, 0xaa5149c6, 0x23c5c126, 0xc1934763, 0x4abff7f3, 0xfad45ac2, 0xec649ea5, 0xdd0fce04,
+    0xfa45bc00, 0xdaef692e, 0x1407a928, 0x27c78ce6, 0x761bf34a, 0xea9f5fde, 0x37317582, 0x8cd99d50,
+    0xdb2fba58, 0x1f848e59, 0x32341c7d, 0x73b89f13, 0x8d50c075, 0x603a9890, 0x3beeb606, 0xfe326adf,
+    0x36af37db, 0xb9fee10f, 0x9416a036, 0x02a9a76b, 0xde76cdf0, 0x4014822a, 0x37712a37, 0x2e5a5558,
+    0xf69841b9, 0x6ab20ee6, 0x2b120941, 0xdda38521, 0x1acc408a, 0xf0a02cf8, 0xafcec142, 0x2295db6b,
+    0xdb0d83e8, 0xbbbc2545, 0x91316c58, 0xb018ab1e, 0x3f699382, 0x20e5d104, 0x1cea71df, 0x0e32cefd,
+    0xea4cd34b, 0x5d3a9dd5, 0x900e08c7, 0xdbd9cdec, 0x51478e80, 0x4c8ecdfc, 0x326f7765, 0xd1a399e3,
+    0x730b1297, 0xbc15c86b, 0x9c167220, 0xe65ba4b7, 0xb3ac87b4, 0x3888be1f, 0x73a0b7b0, 0x32188fc1,
+    0xe393ab52, 0x1b26edf9, 0x93d893cd, 0x367c02e6, 0x1e4eeb29, 0xc4d9390a, 0xca3e57b4, 0x620a8250,
+    0xcc83c164, 0xb0fd2149, 0x60206731, 0x64ba268b, 0xcc4a5dcd, 0x83b0babb, 0x2c85f3fe, 0x9525ff77,
+    0x7ad42695, 0x4b4f3497, 0x16bfb5c5, 0x0685d66d, 0xeeeee268, 0x4fc5ff90, 0x1df86a40, 0x6590a6f0,
+    0x289a42fb, 0x707598e8, 0xae0d4c0b, 0x163dee2d, 0xa04701a2, 0xc614f008, 0x63f69608, 0x65c8772b,
+    0x906f9ac4, 0xfcb5e70b, 0xedb753a1, 0x661726aa, 0xc3bb6deb, 0xa6dcf14b, 0x9ea7f04c, 0xe014c314,
+    0x8395476e, 0x3d607b56, 0x9b4ef718, 0xdda9e7e2, 0x25c3be13, 0xa9588c7b, 0xc9183f13, 0xd3e3fb61,
+    0x3222d9ce, 0x84363296, 0x24a18033, 0x84369694, 0x1fe117f4, 0x6d658cc0, 0xbc985357, 0x186c89b1,
+    0xc89ebaf4, 0x15df5c95, 0x42bea4e3, 0x9e2c0be1, 0x33057af9, 0x98960d02, 0xd79fbcbe, 0x23b9fec5,
+    0x123f4d13, 0x39b0a435, 0x03ae7c78, 0xef43499a, 0xc5358761, 0x84c8f026, 0x193e0ddb, 0x404d4ddf,
+    0xa6637995, 0x0057f93d, 0x86d6293f, 0x738b1b0e, 0x8cb9b9f3, 0xcd0bc794, 0x291b2632, 0x94633fb9,
+    0xbb9d3c7e, 0x25dadfc8, 0xa8424058, 0xec8e52aa, 0xf93d724b, 0xc3f73ddb, 0x40a1cba9, 0x1935588a,
+    0xcd5ab9f4, 0x5b3aa037, 0xe1fd7eac, 0x3ff9f03f, 0xcc04da6b, 0x70c4a60e, 0x37fae36b, 0xd1b63c89,
+    0xe6662a0d, 0xf611f5e4, 0xcd6e8401, 0x203cf8a9, 0xbc7b1258, 0xdd10e5d5, 0xf44862f8, 0x19f638b8,
+    0x85fad212, 0xaf6cb77e, 0x599a6e7b, 0x905d480e, 0xd079d06f, 0x1dd0b065, 0xa4d1fa7d, 0x68dd82fc,
+    0xb7ed5fa8, 0x956922b4, 0x4492d24a, 0x861c62b6, 0x3ad8cd62, 0x9e440b80, 0xafcd2c48, 0x4b95fce8,
+    0xa5944153, 0x5cb90242, 0x450a64a6, 0xe0f1e8d2, 0xe6cdb9cd, 0xb2902d20, 0x8cb2c306, 0xa0b76e3f,
+    0xa379ab75, 0xcd872dc9, 0xc5b123d6, 0x14c32400, 0x637b8177, 0xcdb2b37b, 0x6326405f, 0xbd4ac041,
+    0x79b6b5e3, 0x41323a09, 0xbab0b21c, 0x9e9df47b, 0x0decdada, 0xde276642, 0xa701ef56, 0x2bc7fc76,
+    0x1dd13351, 0x9c155a11, 0x83867792, 0x6549b506, 0xb7eeee33, 0x34e58a1d, 0x400bdb8d, 0x23eed275,
+    0xa661a13f, 0x358d704e, 0x61147e94, 0x65891778, 0xfdba92fb, 0x38fecebc, 0x7c213004, 0x4a809f0b,
+    0xda8d53d6, 0xe4604e31, 0x8597163c, 0x9a1e5e25, 0x6f474f33, 0x9aaa7a13, 0x6eabf69b, 0x0f09e56a,
+    0xab4871bc, 0xcfe26651, 0x195eed9a, 0x80896dab, 0x5a019bb2, 0x4defc530, 0xcdecac29, 0x5104fcbe,
+    0x1da7ad46, 0x0ed184c6, 0x654f70d3, 0x143c17ef, 0x814c18e0, 0xcb11e175, 0x8398be96, 0xb3693696,
+    0xe8bea2db, 0x48d7343c, 0x30920254, 0x3e33e4c9, 0x5e650346, 0x024c08eb, 0xf92e7139, 0x54581050,
+    0x5a336605, 0x9ff509e8, 0x241534f5, 0x3a9dd2ec, 0x8e69f5cf, 0x22444cda, 0xf9985f15, 0x1b4c8e5a,
+    0x1f94acc8, 0xb1a2a0ba, 0x33545535, 0xd3fc5a93, 0xb698d903, 0x63668043, 0xb7ffa6e0, 0x2d057b0b,
+    0xca811992, 0x7fedb87a, 0x7198d00b, 0x9be7b395, 0xf7848d7d, 0xdb2d56db, 0xaa39bee9, 0x6f8a39be,
+    0xd5ea6534, 0xea348cf6, 0xb23bce18, 0xa69a6f90, 0x23d38006, 0x7415505a, 0x6ff52986, 0xec0f9715,
+    0x3e65dcbc, 0x478d9c6b, 0xd761327b, 0x7f8738b1, 0xb94c5532, 0x4f62e1cc, 0xfd1e7a21, 0x1bfb7232,
+    0x32f6a7b7, 0xeea9c89d, 0xe81bd155, 0x0b89d849, 0x5b4b0548, 0x6c6ef459, 0xc11c9b5d, 0x26ef5861,
+    0xf2299c6c, 0x104fdb91, 0x94b66560, 0xf3593fb1, 0x4dc45751, 0x351c24dd, 0xbf5aca5b, 0xdc228435,
+    0x7578e6a7, 0xe53ae387, 0x2f90c977, 0x08671b26, 0x9bf19a7d, 0xed456e26, 0x7c46e5c0, 0x9a50b8bd,
+    0x6a01ecb6, 0x7364f6e1, 0x3b8f28a0, 0xd3b3cfc2, 0xb5fe2ec5, 0xa750940d, 0xd68ef555, 0x50fc97cf,
+    0x5db52d0c, 0xca71d49f, 0xe31d33e1, 0xe539fbc7, 0xc5a2f310, 0xb3313fa4, 0x7181b514, 0x11f69c34,
+    0xf5b200dc, 0xea8c9d67, 0x06bc32a0, 0x33a0acd4, 0x6b4c9142, 0x676fecb6, 0xe9952011, 0xd3612fd5,
+    0xc3095a44, 0x73bc39e8, 0xa1b6621d, 0x4cff1923, 0x5cd5e132, 0x11bb6025, 0xdab330be, 0xc2d85c29,
+    0x25cf438d, 0x8efe7ecd, 0xf21e2d1e, 0x0b6eee0b, 0x74aa6d2b, 0xa1e4803c, 0x6bc9ff64, 0xb6e3d53c,
+    0xa98c430d, 0x6b5ef184, 0x40011c80, 0x289e9b63, 0x331931f2, 0xc100c9fb, 0x88a6b595, 0xa4890ed3,
+    0xb39b0faa, 0x14738563, 0xfec8ad9f, 0x1c0facbd, 0xb4117b42, 0x00c8926c, 0x1a334a32, 0x697d3675,
+    0x1e08a257, 0x098059fd, 0x75d634ff, 0x50b786ce, 0xb6408afe, 0x31a59fbe, 0x1a7621bc, 0xf9bd0f8f,
+    0x25e1d966, 0xa4677832, 0x1743e18b, 0x71cd436b, 0xbc39e152, 0xc2c79e5e, 0xc1b23ddb, 0xddf93a24,
+    0xc4ba0f7d, 0x7500db74, 0x6bdc81b4, 0x80b6b14d, 0x2f191b0c, 0x4dc3de89, 0x42381688, 0x5c05fe7d,
+    0x78d5374e, 0xa8e01a00, 0x5192c972, 0xa9c91364, 0x4f6e3a18, 0x0f725675, 0xc652bcaf, 0xf4331b24,
+    0x74d0ddcc, 0x6634a7a2, 0x8c35568e, 0x0ff91e69, 0xed8d1b74, 0x24c2b963, 0x8b2b6b54, 0x9b8b3edf,
+    0x7c1b2e08, 0xfb1780c4, 0x0088aada, 0xc16bd250, 0xc279ea76, 0x35bb1de5, 0x3f6099f4, 0xea9249d1,
+    0x7b6a9d0c, 0xfacecbbe, 0xad9e333c, 0x09554560, 0xfb86826c, 0x43b0e6b8, 0xf8aaaa81, 0x1bfb88c8,
+    0xb095417c, 0xfc1fd03b, 0xb1171844, 0x894f725b, 0x870e4a8c, 0x4eccb725, 0xf40e5b8e, 0x3be5d732,
+    0xdbd44666, 0x40a1a956, 0x6e243ec8, 0xef8acef9, 0xc26a006b, 0x21971b01, 0xfe1fc297, 0xdb2c8efb,
+    0xeee3861f, 0xf206e5f5, 0xbf3f64da, 0xda853a10, 0xa335369e, 0x6696fb0f, 0xc7a5c5ec, 0x704daa1f,
+    0x9f887ec1, 0xc2e43d00, 0x38cfcd27, 0x3f02b1ca, 0x422402d8, 0xcfec6427, 0x62f931c1, 0xc50d9a59,
+    0xfda8d73a, 0x9eab9e32, 0x449bbf6c, 0x67cc35e4, 0x9477bdef, 0xad5595fc, 0xb0535ffc, 0xed239a14,
+    0x31045aa1, 0xa1885942, 0x2a1479d9, 0x995ba8e7, 0x8022fd38, 0x785d326a, 0x3fbe01c0, 0xad1ecba7,
+    0xfc31699c, 0x79efadb9, 0xeb52cecb, 0xb19767fb, 0x2c311488, 0xd49ab196, 0x0488a44b, 0xca3b422f,
+    0x98b53156, 0x4c39ce2e, 0xbe149741, 0x2b638d70, 0x531d34f8, 0x6ce2f039, 0x1097038e, 0x4ef0aa0a,
+    0x809a4f05, 0xb3a7439b, 0x9ce3ca52, 0x8771c9c7, 0x36600f6e, 0x6c9a321c, 0x6d868f12, 0x6b6762d0,
+    0xd341903a, 0x01eff4ed, 0x3b88f7d7, 0x46d4adf7, 0x2d36f0ee, 0xa7217671, 0x34028a31, 0x4ddeff6f,
+    0x63de99a1, 0x0df45828, 0xcfa48869, 0x45d842cd, 0x81db33de, 0xd8c3218a, 0x1fb94a32, 0x6c3ed2dc,
+    0x4bedeb92, 0x920b51d0, 0xd4f7c05f, 0x56b9349f, 0xeb6ac445, 0xc6024b0a, 0xe2849c9d, 0xda949cf8,
+    0x4a8b319b, 0x9dd31ccd, 0xfd323652, 0x98985d16, 0x58480c5d, 0xfeaaedf4, 0x8dce08ad, 0xc2775cc9,
+    0x68567b20, 0xdf84a57d, 0xc8f8982d, 0x96abfec0, 0x85c3a9e0, 0x062e81e3, 0xe15747e7, 0x2c5a74c3,
+    0xa16c5a7c, 0x7c83cafb, 0x92b053a3, 0x8eeaded5, 0x884d2c8e, 0x55fe3949, 0xcea2a652, 0x221711e4,
+    0xf7d914fe, 0xebb2d16d, 0x8c0ff9b9, 0x59c7a535, 0x93764833, 0x8fc65834, 0x0d9e29fa, 0x3b957fc5,
+    0x99f09c77, 0x229b4b55, 0xe366c714, 0x651365a4, 0x388dbcd5, 0xe9b14a7e, 0xe5bad944, 0xe1ff8750,
+    0xab5b6c1b, 0x58c3eef8, 0x554706fe, 0xc03957c6, 0x83e016c8, 0x6c1b9690, 0x969f88a5, 0x2d58f01b,
+    0xfbe05f82, 0x9601e101, 0x5bace89f, 0xf6a438b1, 0xb605e9fd, 0xf4e3d6da, 0x3511b3d8, 0x578542ef,
+    0x0e417ccd, 0xc4518a35, 0xc8942295, 0x72198242, 0x3cf0adb2, 0x4e6b2a3b, 0x94d716e1, 0xca98588f,
+    0x9a21c9b1, 0xa79b34d0, 0x167ba9ec, 0x8a4b708a, 0xfe09b49d, 0x746cac96, 0x99d9f192, 0x4f05237b,
+    0xb620180f, 0xc4080930, 0xb7bdf1d9, 0x7f6abe60, 0x226c15d0, 0x4e45fa5a, 0x51af96b7, 0x04ad9fe3,
+    0x8b902b05, 0x4244a59b, 0xea7b711c, 0x5be036d4, 0x1326208c, 0xe4701c8f, 0xea9eb396, 0x92248e89,
+    0x00000000,
+    0x92a6fef9, 0x98a562dc, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000003450873173395281893717377931138512726225554486085193277581262111899648 */
+  { 0x00000000,
+    0xcd4055d0, 0x13c2d1f5, 0xa306f48f, 0x5c31bed6, 0xad378465, 0xf7844adc, 0xa4328045, 0x0271224d,
+    0x80a060b0, 0x378b7386, 0x462f2efd, 0x778cef13, 0x22ded73a, 0xfe602aae, 0xcd25cc0d, 0x19101e21,
+    0x975dc220, 0xfb05e469, 0xfce6c8be, 0xbe38c782, 0x666a1fe4, 0x1c90df95, 0x2bba123a, 0x226518e9,
+    0x041f374c, 0x39d86ce5, 0x49c0709f, 0x53b7fd39, 0xe69b8f78, 0x3aa49cbf, 0xb5edac06, 0x65beb2e8,
+    0xa70c5d74, 0x5db88dd3, 0xf0ee3c75, 0x8a7391bb, 0xe946a1e0, 0xadc66746, 0x804eb2b0, 0x25eeec37,
+    0xa64b475f, 0x8ad33eea, 0xfc23648d, 0xde85ef94, 0x4750bca0, 0x1a4581b6, 0xaac7536a, 0xb387de9a,
+    0x74a798bf, 0xc61b8650, 0x43e8d9a0, 0x6d28dc17, 0xf84d1e1a, 0x2a8308a8, 0x2cf50867, 0x4889f024,
+    0x07a8546c, 0x323475e6, 0x64f5f2db, 0x6dfd6867, 0x3652ed06, 0xd7dd8717, 0x267c0ce5, 0x8ab7b505,
+    0x5f6b6729, 0x2e3fe8fa, 0x679a5c4e, 0x5225ceed, 0xb8549ea2, 0xdd10c7f9, 0xde3a8b99, 0xcc31fd55,
+    0x17e13195, 0xebb94631, 0xdeb911eb, 0xd4ad79f7, 0x216d1769, 0xf6411a52, 0xb08af800, 0x380eb0e6,
+    0xcf9ffc8d, 0xf2611b32, 0xda6888fa, 0x8cec5e45, 0xa908340b, 0xaba0d741, 0x6a38bf8f, 0x454491ab,
+    0x964e910d, 0xa9d2362c, 0xebab25d7, 0x7c6d1888, 0xe7abdae1, 0x985eaf13, 0x1539a316, 0x675f4fad,
+    0x34ad7649, 0x4be8577c, 0x08ced018, 0x68c74f84, 0x8df470bd, 0x08ac2d32, 0x567d771e, 0xe06a2f5c,
+    0x6bf0c33f, 0x27737a38, 0xe68b41c5, 0xdbd48cc7, 0x4d8e4b8d, 0x66ab1bc9, 0x34790269, 0xb4a6848d,
+    0xccdf2f25, 0xf6be1c20, 0x625a0957, 0x2801bd94, 0xf1ed1692, 0x41b5f9a8, 0x656152f5, 0x12e87d77,
+    0xfcfbfd4d, 0x74ccff33, 0x04bcdfdc, 0xa97054d2, 0x0cf24054, 0xb6e02d39, 0xc5c5a623, 0x2cc2ed9f,
+    0x6356b4ec, 0x4e658e58, 0x5d94e3a9, 0xac2815d5, 0xeb3ea439, 0xe37722bc, 0xc25a5b4a, 0x3612b4de,
+    0x2d0d7cf0, 0x962183c7, 0xb04c857e, 0xc2b6efed, 0x2d94eeda, 0xcbba1c29, 0x0c699335, 0xabd6f50b,
+    0x1fb71658, 0x1f9667a1, 0xc83aaeff, 0xb706184d, 0x9e90403d, 0x5b8681d0, 0x7f2527ea, 0x95a6d8b7,
+    0xa4cff63d, 0xd6acbd9c, 0xe3dac8d7, 0x9d52c188, 0x4221a4be, 0x5e8a3718, 0x682da9c7, 0xba73fcf4,
+    0x9c03d14b, 0x790084e8, 0x3f93c591, 0x2824bdd2, 0x3e2c654c, 0x40e017ee, 0xecaeca16, 0x51d9e0d3,
+    0x9a31ea94, 0xb8b91bef, 0x805c6b4b, 0x8bfd15ef, 0x201964fd, 0xf4934477, 0xd5b274c4, 0xdcc92a79,
+    0xbac0a744, 0x791c4248, 0x333b3718, 0x9ea0d19c, 0x1a4a71fb, 0x8839a1e5, 0x6d5a3bed, 0xbb4d78cd,
+    0x2ba05624, 0xa67a514d, 0x3ee8aaeb, 0x6a1724e2, 0x9af900d7, 0xe6e4e1f7, 0xd1228cb5, 0xa7d7b3d4,
+    0xe2bc4031, 0x15e1f3f2, 0x90f77611, 0xfb45f962, 0x4186d946, 0xbdcdcbc8, 0x9c63cc7b, 0x65a6208b,
+    0xefcfd224, 0xdba2c159, 0x122e90e8, 0xbae6eaa4, 0x02046b0b, 0x14c7faab, 0x2db6d067, 0x67fa3180,
+    0x8e7d0f7c, 0xa8dda1cf, 0x44559d71, 0x2ffd29e2, 0x2298552b, 0x78046231, 0x059d1a0c, 0xcfc0cbd8,
+    0x69320e83, 0x68a712fe, 0x30f421a4, 0x9d2da2be, 0x29911a82, 0xab2ce6de, 0xc007ddbc, 0x32c712d1,
+    0xdc9a03fb, 0x5139e096, 0xa30fe88f, 0xc99751c4, 0x322eece8, 0xe1c03736, 0x14878509, 0xe0e20288,
+    0x01810b58, 0xfb76b68f, 0xda111240, 0x9a6a77cf, 0x101a98be, 0xb3ce19e0, 0xefd0e05b, 0x1c9b22b8,
+    0x35a29318, 0x731c37f7, 0xad168206, 0x72a94a35, 0xfd09189c, 0x2f496c2d, 0x08c8c755, 0xa9360648,
+    0x9e61856f, 0xea15dcfb, 0x7094df96, 0x28c50666, 0x45f08f93, 0xe79cf7e1, 0x9c4040a9, 0x546628fc,
+    0x9454a381, 0x4f49ee6a, 0x47576e84, 0xb4e5cb62, 0xb717d8c6, 0x40b663a2, 0xef9ac6b5, 0x18b9f48d,
+    0x979c6617, 0xbd8a8ece, 0x27a0f5b7, 0x9c6ae5df, 0xdd4d2a2f, 0xe648dcad, 0x574e664f, 0xa40bb5ee,
+    0xa0ca5a1d, 0x3d0a68ab, 0x92a377e1, 0x9e3c0f60, 0xf9b936f8, 0x8e126329, 0x5cda246d, 0x00d2a060,
+    0x3ada54f0, 0x867a7ac1, 0x00647fc0, 0x37a8246b, 0xb8a906d2, 0xfd99d2c9, 0x3e38676f, 0x475f051f,
+    0x6bd3ac87, 0x71f9c5ee, 0x5957b661, 0xf06ffe2e, 0xdb537183, 0xeaf2393b, 0xbe4904f0, 0x189afb2c,
+    0x17bf0ad6, 0x8083a1b0, 0x0f70eabc, 0xe7837297, 0xcfc4bfc9, 0x01a0dd4d, 0x52d9bbdd, 0x7fcbe751,
+    0x6b1303da, 0x861cba63, 0x4c183530, 0x14425458, 0x9b6ed27b, 0x992554f1, 0x2600f8f3, 0xb270c45b,
+    0x19266772, 0x80746437, 0x75a08075, 0x2c374f10, 0x95f9b4a9, 0x63433c93, 0x5d5a2097, 0x1c758603,
+    0xafa30623, 0x4869cf41, 0xf2574727, 0x1170a79c, 0x3219fa0c, 0x60ff8124, 0x4a4570ae, 0x07e301f4,
+    0x494d0c08, 0x9c930ab6, 0xdaefdbe7, 0xa7fdfdd8, 0xec5f7b76, 0x7425a951, 0x7dfb30a4, 0xcfb6d368,
+    0x8251b8d4, 0xf8f60ba1, 0xcd9a8d63, 0xae384550, 0xd0098b9d, 0xa56c4591, 0xb02233b9, 0xdbec411c,
+    0xed07b02e, 0x148b6e13, 0x39608898, 0x255d4e96, 0xc822a7ed, 0x46412fa7, 0x30bef049, 0xf20ddc86,
+    0x7541c03b, 0xc19c1222, 0xda7eda0f, 0x87e61155, 0xc63ed500, 0xa7039467, 0x58cf1fd5, 0xdbe1327a,
+    0xffaa04ea, 0xf8451962, 0x343ee0c0, 0x23671f3c, 0x4aded137, 0xe1f54e80, 0x46fef013, 0xf816e1ab,
+    0xb2735ac3, 0x644c143d, 0x15ae9089, 0x6065ef6e, 0xbf6c2f0b, 0x8dd1d6a3, 0x5fd7afc1, 0xc574940f,
+    0x297789c8, 0x26d1fba3, 0xd50e38e4, 0x19704317, 0x4ff31c75, 0xbabf2b9f, 0x3f3eebcb, 0xef66df09,
+    0x220c79cd, 0x1bc5d3dd, 0x75b65aff, 0x62fd97a9, 0x6833abf8, 0xe2daa786, 0xa19923f5, 0xf72c28b6,
+    0xcedcfecf, 0x2a41b81c, 0x7e7829ba, 0x7faccaae, 0x2ef62fb1, 0x59eaf0d8, 0x89126439, 0xa76646be,
+    0xeadb67dd, 0x4c7506d3, 0xc99b142b, 0x3d49e11e, 0xffc73560, 0xdb42a01b, 0x7473530e, 0x00b06680,
+    0xa2355f73, 0xc32f7142, 0xcc280b1b, 0x3e1033b7, 0x773456e9, 0x6012ee35, 0x5fabfd50, 0xaf0c6bfe,
+    0x493ef0f0, 0xba944678, 0x1b6157b7, 0x961d77ad, 0x28cff9c2, 0xfcab9cd8, 0xf93cd58b, 0x7bc2a4bc,
+    0x1ed97fd6, 0xb5792017, 0x3a8c31ed, 0x7c340dd1, 0x8ef7ced3, 0xe3629bc0, 0xf5d36d1f, 0x58a723ce,
+    0x2907575c, 0xe4b6bd5d, 0x899752a3, 0xaa830922, 0xa5eddb1f, 0x415993c4, 0xd7ac3ee8, 0x51d31b1e,
+    0x2620bc5f, 0xcc1a78bd, 0x22ee50ce, 0x7b8fc615, 0x4f7f71a2, 0xe1ca1fa3, 0x90b45fe2, 0x6464a681,
+    0x28744291, 0xfe7baa7f, 0x67edf6ef, 0xb74d1ffb, 0x4767b2da, 0xf0b663f2, 0x7797e921, 0x76e066e8,
+    0x78d99358, 0x126cf3f4, 0x03f068da, 0xcaaab74e, 0x6607519d, 0x5952f9c7, 0xafc7641d, 0x378817c6,
+    0xfbf2eda4, 0xef21c08c, 0x55a060e7, 0x9d7757e4, 0x9cd8a373, 0xc24653f2, 0x3c43ae90, 0x9b6aa59e,
+    0xaaab7ddd, 0x09d330c6, 0xec772543, 0x6874abbf, 0x28d65ed4, 0x3139142c, 0x7e3664f9, 0x08347881,
+    0xdc5c6e7f, 0x37216e99, 0xad87eb30, 0x67b4a866, 0xa6e9e6fc, 0x96c14eae, 0x0e2a6d97, 0x47989f04,
+    0x69ef2eee, 0xf14d85fe, 0x1f1adc29, 0x88c3a046, 0x99f14ecc, 0xd302def0, 0x7596b73f, 0x1322c649,
+    0xf65d7b65, 0x6e05e46a, 0x67bd3a51, 0x842f172c, 0xc0695747, 0xe6bb8346, 0x2db678f2, 0xc87555c7,
+    0x6ec4f4cb, 0xdba9f35e, 0x70bb6193, 0xc37ffa94, 0x33368af0, 0xd197fe10, 0xc8f7ec2d, 0x8c0158e5,
+    0x9e1aaa64, 0xd06aabcc, 0x750618f5, 0xc0959efd, 0xa8d0e17d, 0x0a773234, 0xbf86608a, 0xeb044dfb,
+    0xb25c08f2, 0x0aaa13da, 0xbf5992c8, 0xc89c7c3a, 0xc587290d, 0x83724b47, 0x87a0e843, 0x959c43aa,
+    0xeade6adf, 0xc5945c9b, 0x3b143f77, 0x9dec0f28, 0x57c92eb2, 0x1d7a2927, 0x46555854, 0xf2c70ab1,
+    0x8446011e, 0xc644955e, 0x4edf1707, 0xea7f176d, 0x991f8709, 0x04da8e08, 0xeadcdf65, 0xe1db5b48,
+    0xfee04e1c, 0x1acf0742, 0x12a40297, 0x74fc7e06, 0xdba2ae83, 0x27247c8c, 0xe45b8583, 0x5beb03f0,
+    0x5f6dabe1, 0x0dd44f6e, 0x49d44625, 0xe7de22dc, 0x1fbe87bb, 0x13463d31, 0x7cc6c806, 0x85de25c5,
+    0xf9ebd7a1, 0xfe3bce72, 0xe37a1005, 0x382c8e2b, 0x3744ce08, 0x052c5ee3, 0x2b534e9a, 0x97c00ad6,
+    0x8a1fa552, 0x180eaaa2, 0xad6c2fce, 0x97dbea4e, 0xc38e8fd0, 0x49dce025, 0x3d32d6d2, 0xc36aa19b,
+    0xa49d7166, 0xc249c484, 0x5bc51e0d, 0xb24db6bb, 0xac744b3c, 0x28f583e5, 0xd61b1d49, 0x8ae4242c,
+    0xb1c7042f, 0xf5986a67, 0xe38aa1d6, 0xdbfb86c0, 0x71c6a1f0, 0xfce6d38d, 0xfe4979bc, 0xa0d57a83,
+    0x5b2be488, 0x197f8a67, 0xc70563dc, 0x9e6a3484, 0xe3ed3f28, 0xd466a3a6, 0x8e19b767, 0xb63b1631,
+    0x88f03cf2, 0xb0dcb23e, 0xecee4003, 0xc9731238, 0x835a4d05, 0x29350578, 0x905b3936, 0xe3b636b1,
+    0x599d1536, 0xac257a44, 0x282d23aa, 0xbadf54c5, 0x212c563a, 0x8a93d4c9, 0x29564595, 0x44fd3d80,
+    0x2c4f9693, 0x4c740312, 0xddac1649, 0xf20b6f68, 0xb81e1e7e, 0xc2a6b0ca, 0xe9de15f8, 0xa6adb1cc,
+    0x918e117d, 0xb654ebe4, 0xcc5fce69, 0xd8f5cce3, 0x6e5c0217, 0x8b6875ee, 0x3b641da3, 0x39927588,
+    0x7d8b19e2, 0xe68b86c9, 0x0fcc70a1, 0xcd65b2fc, 0x42c4e05c, 0xe3f95e84, 0x3913cac4, 0xee332030,
+    0xbbe5f06e, 0x179a7eb9, 0x96cd1715, 0xdd2a1e13, 0xd9d62c8c, 0x8c1e754e, 0x9783c980, 0x9b2ebbae,
+    0x1ef4973a, 0xcf63f9de, 0x88e31d72, 0xd99a0f87, 0x9620262c, 0x81161fb9, 0x3c913cc7, 0x3cbce71a,
+    0x2b37dde7, 0xda96d1e9, 0x31b68ae1, 0x0599bb0e, 0xbc3d22d3, 0xb81a361e, 0xcd686312, 0x4aafec03,
+    0x7fe07be8, 0x069c7046, 0xab27bb71, 0xd60994fd, 0xde0a1643, 0xfec59c7f, 0x5dbfc34c, 0x3f4bcccc,
+    0x3e1fe941, 0xe2ca958f, 0x3975e70f, 0xc546f627, 0xcb1db32c, 0x0acde1e6, 0xf9139496, 0xd67c3b20,
+    0x58c1412f, 0x7049e634, 0x583c6d0d, 0x832c95d5, 0x7bd25dfc, 0x408177c8, 0xfeca9d4b, 0xd13b6253,
+    0x9c06e660, 0xc2cb1390, 0x1ea16ad8, 0xddc6ec0b, 0x5c1569cc, 0x85f48245, 0xfc809f41, 0xcdc86aba,
+    0x468ad074, 0x266b3900, 0xb3021814, 0x1c0308aa, 0x0f87da32, 0x5baa7bb5, 0xc886bcaf, 0x28c8d89c,
+    0x609ac7ea, 0x4b2b1c12, 0xe86324fb, 0x8dbc083a, 0x225ffd39, 0x7689411f, 0xeff7e7f4, 0x46ce580e,
+    0x63ecd061, 0x94362c62, 0x6cb32813, 0xc2ff17b4, 0x4496983d, 0xea29c4b0, 0xd193afd0, 0x7fe865c4,
+    0xb009b961, 0x3f2665a4, 0x59c2154a, 0x34ced388, 0x854d54d2, 0x83c14c36, 0x292d218c, 0x04b61b5f,
+    0x341c1d56, 0xd52fad17, 0x4a804b87, 0x3abdb74b, 0x8c53ab9f, 0x30fbd6ba, 0x4b6256ec, 0x22e5e67d,
+    0x7f5dc83e, 0x4a2afa7f, 0xd511077a, 0xde32bb7e, 0xe1865d4b, 0xfc8eabbf, 0x33dc7242, 0xcb318f53,
+    0x9648a990, 0xeb552f37, 0xe710b804, 0x61fc99c3, 0xb42b9e9a, 0x1d3a69c9, 0x49c87953, 0xd7006d88,
+    0x9c40661f, 0x55f0f1bd, 0x7061cc52, 0x5172e955, 0x23c1391e, 0x5fa67289, 0x6d443cc3, 0x7132d1d6,
+    0x2681e07f, 0x10dcace0, 0x9aedb66d, 0x99a3eb24, 0x31a9095a, 0xc04afee4, 0xaa78eafb, 0x83a67ffc,
+    0x17a91059, 0xe3236e1b, 0x002a99ee, 0xbf7ed60f, 0xdd7756ea, 0x17c8d3ff, 0xd39e695a, 0x3c936cb4,
+    0x965e3d92, 0x547cc660, 0x32581081, 0x4ecacc5f, 0x6763cdfa, 0xb35343cf, 0x692b00cf, 0xb8edad6f,
+    0x2fa99679, 0x97313d96, 0x8c41f106, 0xacc368df, 0x5009caa3, 0x217ff4f1, 0x276512b9, 0x66be835d,
+    0x5bc90718, 0x3fff5f0b, 0x1ed7c630, 0x4dadbcc8, 0xede2a7b1, 0x64e1bab6, 0x03979a90, 0x899b73c8,
+    0x71691ea2, 0xf909543b, 0x79d0feb4, 0x7758f8a3, 0x2c6413e3, 0x82b2a688, 0xd8c2e711, 0xc9fc2407,
+    0x297908c0, 0x0e695f1d, 0xfe872218, 0xb5f665c9, 0x622c6660, 0x3042a013, 0xc1770d74, 0x375b0510,
+    0x5ae5cfb0, 0xdcb95a79, 0x427d49f8, 0xbe22216a, 0xa9a4f874, 0x9826c1bd, 0x109fa792, 0xe95b1d9d,
+    0xb14b3bd4, 0x7b257d04, 0x4620b9f4, 0x026fdf34, 0x69ed6120, 0xd6544eab, 0x0305cb75, 0x0110d231,
+    0x7ff3e348, 0x40f1dc99, 0x2d493c61, 0x142c2295, 0x67966b25, 0xeaacd5c0, 0x4b1b86e0, 0x27a85d71,
+    0x6475715b, 0xf44e5036, 0xf9ae4e40, 0x7b51c9fe, 0x1e91bb29, 0x210aaead, 0xaade74fa, 0x208e508e,
+    0xb81be387, 0x89e3624d, 0xabfefed0, 0x0cac897b, 0xf6db8773, 0x3dcc14a9, 0xcba67452, 0x99ef1b1a,
+    0xaa13edd6, 0xec0616c9, 0xdde10518, 0x0604ac1f, 0x0863de94, 0x2d0b6ca9, 0x35a12857, 0xdf8589f1,
+    0xb5562be6, 0xe3fc1720, 0x5e357ff8, 0x3cc228cf, 0x36aa338b, 0xdb82175e, 0x74dd2d31, 0x668b2330,
+    0xd3cc7ea7, 0xc3ce1f5a, 0xe6d02395, 0xdb01d1d4, 0x669faffc, 0x06419fb1, 0x6db3d14e, 0x1d1cc13c,
+    0x545e3583, 0x285c20d6, 0xe79726fc, 0x11aeaa57, 0x94dba083, 0x225007e5, 0x2f173985, 0x8057aaff,
+    0x1b410404, 0x61fd4b1b, 0x37c60434, 0xb722c88a, 0x06f5757d, 0x44a7f3f2, 0xbdd76da6, 0x8e1daa21,
+    0x12a72b58, 0xf10c8927, 0x18f89c51, 0x516805b2, 0x9026e9c6, 0x82317351, 0x96335c69, 0xef90fd5c,
+    0x63de993e, 0x9f1aed3e, 0x81369f5a, 0x0553cc6b, 0xdb3a93f0, 0x150b356a, 0x77db1c08, 0x6ae629eb,
+    0xe5d7d587, 0x9b75f07f, 0xe7525ab3, 0xe9ce4875, 0x4f4c5f73, 0xe4fadf91, 0x66ffba11, 0xb26cc6e8,
+    0xfa643ccb, 0x25632ead, 0xcd7552f8, 0xeb08daf9, 0xa07f1a83, 0xaa8cad81, 0x44a67912, 0x03039c16,
+    0x57c72818, 0x2e27615b, 0x75ffa79e, 0x6d6d3fa0, 0xaada935a, 0x670f4363, 0x70074324, 0x139cae1d,
+    0x31b85c5f, 0x5ac028de, 0xf602ad49, 0x321b3ba8, 0xb7d27b62, 0xedc5cc13, 0x2de80130, 0x5be0b3b9,
+    0x30ad3dca, 0x4207791b, 0x12fa4d88, 0xa46ce139, 0xd2eef2eb, 0x66ec8131, 0x15c47afe, 0x7fb3ea81,
+    0xc2c0664e, 0x5c257205, 0xfdb0e4f2, 0xc8b06ea9, 0x378d3c36, 0x480dfbdf, 0x46b8b87b, 0x690edd22,
+    0x3f2b97de, 0x81c8dddc, 0xcc18259c, 0xf4732312, 0x9b2e8431, 0x165d6383, 0x7e24fd33, 0x2dfb254d,
+    0x0be5aeef, 0xff175be7, 0xa033cfbe, 0xdb157cb2, 0x35ac46b9, 0xf698ce59, 0x0f763373, 0x464292a7,
+    0x3b4eb963, 0x605b6c6a, 0x9d1fc961, 0xbc1f45d1, 0xf6e5fa47, 0xf3e2eaaf, 0x6811faae, 0x3f297357,
+    0xf23bf0ae, 0x3a3764bc, 0x66b486c7, 0xd574a630, 0xcc723e14, 0x3de2bdff, 0xad511581, 0xba84c274,
+    0x267f8fd3, 0x6c60bb33, 0xfeedfb97, 0x122316a0, 0x82d94f89, 0x7aabaa51, 0x1c0fbfa1, 0x0a0545f9,
+    0xb873ba0a, 0x8d840805, 0x1f71e38d, 0x9395e388, 0x3b891735, 0xcd003f73, 0x71600154, 0x88c55989,
+    0x00000000,
+    0x49537f7c, 0x4c52b16e, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000001725436586697640946858688965569256363112777243042596638790631055949824 */
+  { 0x00000000,
+    0xa64c65bb, 0xeed0e884, 0x56d8c86c, 0x97d10a45, 0x8a963c42, 0x9455acb1, 0xdd959d06, 0x59cfcb84,
+    0x8a7787b2, 0xd18286b6, 0x05b790cb, 0x8328529c, 0xb9e39cba, 0xd6b6adfa, 0x7f917fa4, 0xec0991a6,
+    0x9ed7356c, 0xdfbd8c30, 0x5d22cd22, 0x09c2fb04, 0xb6308ffd, 0x24cb3d90, 0x5fc1bf7c, 0x68d372f9,
+    0x829daee0, 0x4fa0feee, 0x07d407dc, 0x11921c5a, 0x5049a678, 0x46a767bb, 0xec3ad8e0, 0x31a18cce,
+    0xb2de39af, 0x09ddc6a4, 0x99097550, 0x5f292b1b, 0x68352524, 0xcddbab01, 0x708d7359, 0xd6eb9da8,
+    0x100a457d, 0xd16a4932, 0xb63fb9d7, 0xcba4bc19, 0x32c67354, 0xc4f651e6, 0x1ab94cd2, 0xcd772c51,
+    0xd0e83fbc, 0x6859baf0, 0x71cb41a1, 0x73bba596, 0x19b70523, 0x174ad389, 0x53592b92, 0x0a921699,
+    0x6c746729, 0xeb4012e5, 0x136d59aa, 0x30e6a87e, 0x682e6ff5, 0x77a0e583, 0x889ba36c, 0xd87183d2,
+    0xe635e8a4, 0x3baec309, 0x9bf05773, 0x3a885af7, 0x373457cb, 0x00432157, 0x3a8e6daf, 0xf6d50295,
+    0x695bd2e4, 0x1f097019, 0x7ee6dcd1, 0xc0b04016, 0x322a5e8b, 0x2ce44e9e, 0xda3994f6, 0xe9f66415,
+    0xd5473c83, 0x794ed804, 0xb9e1ed88, 0xc08e68fc, 0x500c3835, 0x9711bbff, 0xc3af2f50, 0x06376925,
+    0x8b00668d, 0x1fec8281, 0xe1bf8ffb, 0x61fe20ad, 0x4546f04b, 0x632bc2c8, 0x9cf8cbdd, 0xd73250bf,
+    0x7cbaecbe, 0x80ffab2e, 0x2af1e238, 0x6a436ec6, 0x9206a8fb, 0xd7bfa485, 0xb69cec09, 0x6f99dc38,
+    0x5659d71c, 0x380567aa, 0x856c9249, 0x5e29f338, 0xe888c40d, 0x09307d64, 0x69ca1cb0, 0xbdbbbcc3,
+    0x0bffb3cc, 0x8bc0aebe, 0x28291e6e, 0xb6e0236d, 0x51c05cd5, 0xb4df0d79, 0x9310c1b5, 0xef04bc90,
+    0xe8046f3f, 0x78c985dd, 0x01555e8c, 0xf47486c5, 0xacfab6e8, 0xdbe89a2e, 0x739ad448, 0xaef48c8e,
+    0x2b46e4de, 0xb5b316fe, 0x2795a154, 0x8c49552d, 0x0172c6fc, 0x7d7c8218, 0x30701657, 0x27965124,
+    0xaa9b8a73, 0x128eee53, 0x0f9f6153, 0xf49c7a03, 0xed060dbc, 0x22a9cff0, 0xbe15737b, 0x825f2716,
+    0xb3e4f1a0, 0xc06b8ec0, 0x565a0bb1, 0x35ec8c43, 0xb32e4076, 0x50bdbfbc, 0x8a1531e7, 0x6ad0e4d3,
+    0xe342c203, 0x3d10c10b, 0x340ce594, 0xee2a8eaf, 0xde9a6a1e, 0xe6d74e07, 0xe8ae7b82, 0xecdbc537,
+    0x3eb4354d, 0x007d12b3, 0x4e0987e6, 0xff8ca64f, 0xaf8c3c36, 0x1e895e56, 0x0962ea71, 0x77fee15b,
+    0xc80b0036, 0xf424f67c, 0xc2495398, 0xb2c96fb7, 0x4c236c48, 0x20234d83, 0xb9fb4f48, 0x67ec3c8d,
+    0x3e10f2a4, 0x9fb7696c, 0x0d2aa323, 0x4fc07231, 0x64f6110d, 0x7566a228, 0xfbe5e293, 0xd462a1fc,
+    0x71a8de15, 0xf8b1fc93, 0x4cf826e1, 0xed4c5de2, 0xd5d49cda, 0xf2556874, 0x1b9207ff, 0xc6731833,
+    0x02d17a5c, 0x7fd12ff7, 0x7df5526f, 0xec80e86e, 0xb0c941b0, 0xd0e39d8a, 0x89cb93ed, 0x426e7b40,
+    0xb3e19b13, 0x60f57626, 0x7c2442fa, 0x77fa11b4, 0x0320ba0c, 0x5618e0de, 0xa142a732, 0xfa10b4e7,
+    0xd93cc166, 0xddb4f690, 0x21b00443, 0x804f3c42, 0x8233e1e6, 0xebab118d, 0x024b261e, 0xcd946f6d,
+    0xed30d3b0, 0xa3cc9571, 0xf8529394, 0xd125f148, 0xd27c7ba8, 0x8bf5f639, 0x77fe5b74, 0xbc7f8807,
+    0x78b56283, 0x93a6e30c, 0x2b97fc34, 0x608685ba, 0x151f88cb, 0x14dc4333, 0x58193cea, 0x85a40862,
+    0xc8cf1792, 0x6809ac6e, 0x17154e71, 0x7cd2ebda, 0x29d8a906, 0x84125bf5, 0x093071e6, 0x8f0bffa7,
+    0x3e1ad8e8, 0x629142f0, 0x8599f721, 0xe50a8e8c, 0x88ec0618, 0x5ea5665f, 0x46d3fc9e, 0x15f084b6,
+    0x8219cb9a, 0x8a091993, 0x8d1aea2b, 0xd90e4562, 0x30a742b5, 0x897b935a, 0x82a1f117, 0x60599937,
+    0xa819dab8, 0x32a6fb78, 0xcee5e580, 0x57b35aef, 0x66285e5e, 0xfb3a1d58, 0x0c880efa, 0x4bed3729,
+    0x23ef1f72, 0x91f0dad0, 0x31948725, 0xca119c61, 0x0eb7736b, 0x2917a529, 0x00074947, 0x707c2938,
+    0x8bafcb69, 0x2d4780e0, 0x294bd082, 0xa54c930f, 0x42fdf8d5, 0xd240d856, 0xb4688df8, 0x9884afbd,
+    0x70d0785c, 0xf27ef46e, 0xe2034fc5, 0xfac1c6a0, 0xacd16166, 0x13dc3f7d, 0xb4bb52f5, 0x130044ec,
+    0x3ebd7113, 0x961df368, 0x612384e3, 0x9d179415, 0x5653d974, 0x4a75c6a8, 0xabaf4cf9, 0xc0da30d0,
+    0xa8a8452f, 0x3e83cf5b, 0xaa4d5cc8, 0x91ce4df8, 0xe04cacb2, 0x0a78c123, 0x3fa02c63, 0x747bcc5d,
+    0xd7e43371, 0xa0360c20, 0xe7dfd5a7, 0x3d987402, 0xdb966b65, 0x894e0ace, 0x7e86f178, 0xee895a2b,
+    0x69401cb3, 0xeb6b96a5, 0x726ea2d0, 0x14ced4a7, 0x384c0d1b, 0x4bfd88cb, 0x498881a6, 0xe4d73fdc,
+    0xa39bd515, 0x281b3aa3, 0x6e8e2842, 0xc6cec25d, 0x14426b8f, 0x2b4e4410, 0x4b2459f5, 0xd9ae95fd,
+    0x85fb1b09, 0x1f50ea33, 0xae9d3720, 0xf2cfdb6e, 0x4a233876, 0x1d72fa07, 0x3bd83cfc, 0xc4386605,
+    0x076d81cf, 0x90574441, 0xf101a896, 0x7f7a40d3, 0x1c570c23, 0x42b9bb16, 0x066d0d04, 0xfb1a1137,
+    0x4e1e5574, 0xcb8b5626, 0xc9dd8eae, 0xf3be42da, 0x661cb86f, 0xbb7de16e, 0x6b5a80fa, 0x53b9e29d,
+    0x8ab8c6dc, 0x32a215cb, 0xd88aea22, 0x08167b8d, 0x01aa073b, 0x247bfd3b, 0x721bba66, 0x09665f12,
+    0xd4549a47, 0x68e6dec5, 0xb9664417, 0x755da93f, 0x3879e04e, 0x1122509b, 0x83c80985, 0x72eb075d,
+    0x0f3ac17a, 0x6b2de4a4, 0xd4cd54d4, 0xec8214a7, 0xf6e492c9, 0x8070df9f, 0x70cddc69, 0x943e30a3,
+    0xd718d6bb, 0x8a1f9088, 0x958cbe32, 0x49716fac, 0x232eed00, 0x28d3d1f9, 0x8719ea5a, 0x59f824fd,
+    0xba68c3f7, 0x96038b8f, 0xa90e4fc3, 0x4d1de06f, 0xb3ba0b54, 0x66d651a0, 0x3f4fd7a2, 0x61ef30a2,
+    0x7f830bb5, 0x1bb6a16c, 0xc82f34ed, 0x6a88863f, 0x68d424f6, 0x8cc55c0a, 0x0644d64f, 0x88c6806c,
+    0x9a8f7fac, 0x6f623f83, 0x907004e3, 0x92f15a81, 0x04391ad1, 0xe584ab41, 0x1c0f2853, 0x40336ac2,
+    0xb28d5b4f, 0x2d5d436a, 0xda9a098b, 0xaac2a144, 0x3ec46072, 0x667ad95b, 0x2015f21f, 0x5fc38ac2,
+    0xdea50cee, 0x2a387895, 0x2372296d, 0x9c40a529, 0xfce17e39, 0x44530455, 0x8af2b222, 0xf5634ce8,
+    0x2360e5d3, 0xdfb754c9, 0xd462823f, 0x615eedf1, 0x5fa22e57, 0x1f1057b6, 0x68b83adb, 0x46324d75,
+    0x01e03ffc, 0x8be3da88, 0xcbb3a8af, 0x771dd540, 0x4f3433df, 0xfc531fb7, 0xd16b97b5, 0x8c50fc73,
+    0x820aa012, 0x57918a5a, 0x167a7d6d, 0x3ba92872, 0x3eb22064, 0x9f2903e4, 0xb1bd4197, 0xf599edf9,
+    0x312459a5, 0xb0c2a563, 0xa5e9865d, 0x6c689a8e, 0x9c5abe84, 0x5c97161f, 0xadc12eaa, 0xb074430f,
+    0x46e9a809, 0xaeb71f6a, 0x86708759, 0x0f02c31a, 0xcb88f48e, 0x92222250, 0xb2da07c5, 0x0eb61829,
+    0xa788e15f, 0xb44031e2, 0x5fd3ee05, 0x5f80ad7d, 0xc11ac537, 0x8ff06960, 0x79754c09, 0xac25cd16,
+    0x048fcfd0, 0x54e0ba10, 0x8860fda8, 0x57ac41a3, 0xa6ecafee, 0x45a3cc24, 0x39f7e255, 0xb6e9f303,
+    0xf76e3768, 0x2b50ca9f, 0xfde97d2e, 0x5b95f4e5, 0x72d10445, 0xbec76a1e, 0x2056da27, 0x6254e409,
+    0xf3ee292f, 0x2f0a2d26, 0x016d2bcb, 0x84ba14ec, 0x7b1ed0e1, 0x24b313db, 0x51266036, 0xe2bd519a,
+    0x44f6f672, 0x415e7753, 0x43e0a597, 0x8454485e, 0xf85ad1e4, 0xdb7dcdeb, 0xca4ec719, 0xcba39372,
+    0xc245e5e1, 0x9c38d208, 0x3689333d, 0xfebec0b3, 0xfaf76c6f, 0xe40de356, 0x00a7f206, 0xbe71dae1,
+    0x4769af25, 0xe28ba819, 0x924bd7ed, 0xb2cbbca3, 0xd4448ee3, 0x766a57fa, 0x32c5130c, 0x9dd07121,
+    0x4bf7f009, 0x5bcbf263, 0x9b8160d9, 0x82a80366, 0x57dce907, 0xbc8a0eb9, 0x0c57b120, 0x24973001,
+    0x6f93b076, 0xa459e988, 0xe1721c52, 0x1bde2716, 0x7b603153, 0xd0045eba, 0x6bee97db, 0x83064260,
+    0x0753a4aa, 0xddae3cbe, 0x4056d315, 0x47357b37, 0x4d14d6bf, 0x1ed60c76, 0x4438a5ac, 0x04c3551d,
+    0xc65279af, 0xefbf138f, 0x387874ae, 0xe40c74e9, 0x483a27f8, 0xde8b29f0, 0x319ac306, 0x8e5881de,
+    0x12f3932a, 0x11f83785, 0x5d7bd447, 0xeccb45de, 0x75847748, 0x13016d18, 0x3c24d33d, 0x19784c67,
+    0x04fc1bfc, 0x1dbff943, 0x768a9694, 0x4edd5672, 0x0983809a, 0xa0c92c9f, 0x207e614b, 0x863eb4fb,
+    0x8f410cdf, 0x86953419, 0x05288169, 0xf5610e44, 0xa01eae1f, 0x0dbf2d29, 0xcabfbaa8, 0x6a050f65,
+    0x6d840f10, 0xbbdb0ca6, 0x278aa90f, 0xc3bbe5b1, 0x462d57a4, 0xbf77b0c9, 0x767a61d3, 0x7d3f30cd,
+    0x59344bcd, 0x9c663e64, 0x42ce8091, 0xe2511106, 0xede955e4, 0x8aa1a561, 0x3f4ba877, 0x068579d7,
+    0x116cc2ab, 0xad63460b, 0x3bae7ced, 0x7049c3da, 0xdaf14ee2, 0x7dd8e0b0, 0x2ba4910c, 0x5d463ab6,
+    0xa805501a, 0x4d58ceb2, 0x5c2063ca, 0x031b063d, 0x6aece84a, 0x728f4158, 0x1ac49d50, 0xc71c2fe2,
+    0x666f22b4, 0x4d33547d, 0x9a120677, 0xe5107eac, 0x3c0c030b, 0x64b5b6c3, 0xc8f7480b, 0x2fcc14af,
+    0x4ffb82ae, 0x6f90c789, 0xe979d163, 0x8baddcad, 0x705987ed, 0xa74ccf07, 0xce6f4e7f, 0x29583b44,
+    0x279c8296, 0x05117e28, 0x724217a7, 0x1d5c36e9, 0xa08cda35, 0xb69e8971, 0x94f5b439, 0x57120868,
+    0x3bc0a84c, 0x7b8022e3, 0xb21aaac2, 0x5906e889, 0xe46abe16, 0x8284364c, 0xdf2cd094, 0x10bfea66,
+    0xf8b02b49, 0x4256ef80, 0x19562654, 0xc71ea7fa, 0x80cf478a, 0x115a7a14, 0x0df3fbf7, 0xfbae3dd6,
+    0xc61385b1, 0x5476aa8b, 0x0c233a58, 0x962f54ee, 0xfcc46c61, 0xc7b08cc9, 0x23d18a3a, 0x46219300,
+    0xd1dd719c, 0xa3d63f74, 0x57a20e36, 0x13ff9a55, 0x8736efb4, 0x2ee38e7e, 0xab1da76a, 0xcccf515c,
+    0xadcffef2, 0x6f547e19, 0xe4ccb3a8, 0x3acb991a, 0xc0280429, 0xf8966636, 0x311c4e59, 0x987e2596,
+    0x4b51008e, 0xc87757d8, 0xb397fb62, 0x77738215, 0x1897bd3c, 0xd5868e50, 0x961fea4f, 0x669b2f13,
+    0x88d6f48d, 0x7094d80b, 0x564b832b, 0x30e1faee, 0x0d751057, 0x33ca350e, 0x52a155ff, 0x96aed606,
+    0x52d878a9, 0xf3dc1170, 0xaa4d8609, 0x69d92dc2, 0x37e8caca, 0x55af707b, 0x2baccb3b, 0xc5c85eff,
+    0xc5afe866, 0xab487678, 0x4caf4006, 0x822a3205, 0x11fdf550, 0x82d91dec, 0x5174514c, 0x85297c5b,
+    0x5d785303, 0x996ae568, 0x6f98162a, 0x9e68d932, 0x8cb8f7ee, 0xfc05b04e, 0xea634424, 0x302bf197,
+    0xcd30a189, 0x7feac523, 0x659b1df9, 0x9db47e84, 0x40c29e2e, 0x97c389df, 0x4df46380, 0xfc6e6e39,
+    0xf9a6ec39, 0x8f4331c4, 0xd2ebbff4, 0x3ecf046a, 0x75473abc, 0x1eca4dce, 0x95d93299, 0x1ff627f6,
+    0x5a8f4d7f, 0x86cfb576, 0x9842a09b, 0x9132a059, 0x242934a8, 0xf74e8fde, 0x4440fceb, 0x586732f2,
+    0x1c1114d0, 0x9741f7a8, 0xc6bb97bc, 0x0954bba4, 0x28fa750f, 0xb45a5958, 0x4b6eed6b, 0xf60bdb96,
+    0x71e22d1e, 0x3f57409a, 0xc3ee0d80, 0x8a60418b, 0x01127c78, 0x87290a20, 0x2dacd2ac, 0x19e9b3ef,
+    0x5baa61b1, 0x808ff24a, 0xa9ad2e9d, 0xda2e9c93, 0x4a58e874, 0x7925a73c, 0xa3cfc797, 0x30ddfbe2,
+    0xb1f5ada6, 0x0262faf4, 0x93818138, 0x32d22cc4, 0x87a62ac4, 0x1d5e06f9, 0xe7b0fdd3, 0xd72929e4,
+    0x5af4c391, 0xdf37ce72, 0xfd84fddc, 0xd491ff1d, 0x0bd739be, 0x4d0f21ec, 0x61703c48, 0xebd191cb,
+    0x9811a3c7, 0xb95e0f89, 0x5afc0c53, 0x14ed4b59, 0x6a8ecb83, 0x0c82b340, 0xd05a105f, 0x3612665b,
+    0x6b4c9432, 0xadd1996a, 0xd350dea9, 0x1d5fcbbc, 0xd9caa160, 0x39727da8, 0xc0cb751a, 0x4341bda1,
+    0x2ec83493, 0xc4347e4a, 0x2396818d, 0x94b03992, 0x8896cab3, 0x499c9bdb, 0x6d4d0cf2, 0xf88442b8,
+    0x8be0259d, 0xc9dda28f, 0xeaf19d24, 0x9ca2b163, 0x541ace4f, 0x7afe347c, 0x7ba511d8, 0x04ca9fe1,
+    0xc4f464ac, 0x5dfd3e66, 0x35347d85, 0x63df9690, 0x7885b07a, 0x324295ef, 0x31c46b97, 0x81fb1faa,
+    0x8f6a9dbb, 0x53a14061, 0x6be6eaae, 0xe6f22d27, 0x4b004f14, 0x7e6f2338, 0x5698c1e4, 0x8480811d,
+    0xe00d053a, 0x99081946, 0x48b54c27, 0x2c1a5538, 0x96db3c93, 0x0b82dd61, 0xbea394f2, 0x03d3740a,
+    0xc4bb073a, 0x2d022c54, 0xca1e3f0c, 0xe70d393e, 0x869f909d, 0xdd570db7, 0x05a11dd1, 0x0e8122d0,
+    0x6cbfe5f0, 0x4b156c58, 0x96d4719b, 0xdc0d3a65, 0x9daa56dd, 0xf1a28e9b, 0x6e3ed60e, 0x14335e1b,
+    0x4d2fff86, 0xb47f1696, 0x5b996f12, 0x1333f8ff, 0xb2f7770e, 0x85fdc61d, 0xdcd95687, 0x8b22b1b8,
+    0xa0be33e9, 0x264c5197, 0xdc3f34c7, 0xdb6846c5, 0xe7f863f3, 0x09fe2058, 0xdd34afce, 0xf0b6ee47,
+    0x41111c5c, 0x24adc8d6, 0x0597ff60, 0x8fe43c1d, 0x4956182b, 0xce88c117, 0x20111f14, 0x3514c350,
+    0xafe6150e, 0x344dc317, 0x932d6d6b, 0x21ab9982, 0x37775f89, 0xd92e56a3, 0xe1d60230, 0xf65717dd,
+    0x7974e054, 0x07414032, 0x1f10c947, 0x4fe2b4d4, 0x505ea1c9, 0xd3176c2f, 0x79ce7335, 0x860cd68d,
+    0x436d8667, 0x4d721a0c, 0x21a6c6ab, 0x4bd28ee1, 0xde4ba305, 0x2ec04e40, 0xb3ac22a6, 0x8cf09e84,
+    0x9a4065e7, 0x22dd8126, 0x069161f3, 0xd3f4d9b6, 0x43f7732c, 0x0c4fef53, 0x216d0d11, 0x0a4deb6b,
+    0xfbf25f2f, 0x5888e41f, 0x2ceea3dd, 0xbdc771fc, 0xf7859e88, 0xa1443d9e, 0x9aa06482, 0x39f8c487,
+    0xc220aa1a, 0xe4dc3dff, 0x9924de88, 0x19ef0a06, 0x0b00c4d1, 0x247a529d, 0xa9134194, 0xced1f874,
+    0x63abe7a0, 0xf575ce46, 0x5b088101, 0x9eacfdbf, 0x982c8120, 0x1a2270cf, 0xddc59cf0, 0xf9da93af,
+    0x1191bd74, 0xb9048407, 0x7129f995, 0x4c87e6dc, 0x7a29179e, 0xe5c8ce15, 0xa39dab1b, 0x3242a427,
+    0xf111c45b, 0xbbff981a, 0xebec1fb8, 0x24289ec8, 0x4bbc6cb5, 0xeb1fcbf0, 0x2ddc67ed, 0x7488bc38,
+    0x7dd03405, 0x7941f8c3, 0x98ea3adf, 0x750d1cd3, 0x687c985c, 0x3249ecc5, 0x500f3248, 0x244d0490,
+    0x118f96ad, 0x8398b16f, 0x98abd12d, 0xddd877b6, 0xca32b5aa, 0xbcab302a, 0xb7c29492, 0xa70791ea,
+    0x992b49d7, 0x6c33484e, 0xf1285573, 0xfcbc6eb6, 0xdbe091c9, 0xa8a390a9, 0xe95ef28b, 0x1b4968da,
+    0xbd63f078, 0x15ae2b08, 0x2ffb5c28, 0x412fb358, 0x30a5fd12, 0x4bcf44d3, 0xf37eb840, 0xd43af222,
+    0xce81b951, 0xd248d8ef, 0xc611e16e, 0xeaf11256, 0xf0025b50, 0x40215f82, 0xc18c0fa4, 0x82456992,
+    0x4f6647e1, 0x1b40ff44, 0xecd2f116, 0x8deaa131, 0x1081693b, 0x46c7a2d4, 0x55967d9e, 0xeab3a244,
+    0xf1d710a6, 0x22772e95, 0x24c36b4f, 0x78b7bdda, 0xcb81ebf4, 0x37679064, 0x0061183d, 0x5afb84d2,
+    0x5a1c5cd2, 0x7d5a1929, 0xda147d5d, 0x26c138b1, 0xbc372209, 0x5d63d61f, 0x446622e6, 0xbb1e58f1,
+    0x00000000,
+    0x24a9bfbd, 0x262958b7, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000862718293348820473429344482784628181556388621521298319395315527974912 */
+  { 0x00000000,
+    0xc0649e57, 0xe35279e0, 0xe8cf5bfe, 0xd0590e61, 0x139b86a4, 0xebc24586, 0xfddc1745, 0xc240fccc,
+    0xfb396bf0, 0xf4fe98c3, 0xfc2d7571, 0x478f9614, 0x3bfc1d1b, 0x11050f66, 0x9372ecf3, 0xecc35396,
+    0xec585a05, 0x2633600b, 0x6a410a08, 0xa43961a6, 0x2672e77e, 0x4d28376b, 0x30729a4b, 0x73d5bff7,
+    0x45c76129, 0xe4069034, 0x9db4115b, 0x825be835, 0xbc75cca0, 0xc30eb796, 0x79013261, 0x39983d2d,
+    0x0ae2c09f, 0xbdf9c739, 0x52f3a131, 0x17899028, 0x4f1a287f, 0x56bfbefc, 0x3a8377db, 0xad188c01,
+    0xd579e900, 0x76778881, 0xf93261a9, 0x198d88ff, 0x0e9cb61e, 0x6a4d3fe3, 0xd76f39f5, 0xe9b26a33,
+    0x6ecb80ad, 0x4c36b9c3, 0xdfaf0326, 0x330b5bb6, 0xd5255ad1, 0x3c4086f2, 0xdc6de976, 0x926d1075,
+    0x8649f471, 0x05b972c1, 0x7144a898, 0x80c32a57, 0xe5140282, 0xc89352f9, 0x47e71a81, 0xf7a514b0,
+    0x3d97291e, 0x5e120de8, 0x329cd9a5, 0x52577be0, 0xbeb13b33, 0xae8de791, 0x0e828d00, 0x71fdc079,
+    0x11d82ff8, 0xd7acef64, 0xa542bb71, 0xa5a5c982, 0x7a2bed72, 0x843993a5, 0x3f2eb1e5, 0xeec4c1c0,
+    0x6f9572f5, 0xc7a8d2c6, 0x389f3f3e, 0x08f4996a, 0x76e52294, 0x0c45e563, 0x87d639f9, 0x1cc35924,
+    0xc5b5ca0e, 0x0d02d383, 0xdc9bdef3, 0xd8dd7b9b, 0xc7c691ec, 0x70c29a85, 0x8b99fe21, 0x29d24782,
+    0x67f0e65b, 0x582950f0, 0x9bdd1b45, 0xf650010d, 0xe3a95fe3, 0xb3b8c932, 0x72e732b8, 0x7d2a1271,
+    0x9e779e69, 0x105c11d5, 0xc1114bbc, 0x5e9dd357, 0x2b7b2523, 0x2fc22e1b, 0x487a9ca3, 0x14474cd6,
+    0xf2acd2a2, 0x499bbe15, 0xb10c6e11, 0x8d3e7458, 0x41a34c09, 0x7dc1d618, 0x605560ab, 0x97fdaa6a,
+    0x6afab9b2, 0x823f3df0, 0xa8f0a5b1, 0x2c829d1c, 0x58b4965c, 0xc5062076, 0x29356631, 0xb038e36d,
+    0xe87743f7, 0x18148608, 0x25b432eb, 0x3ecf0863, 0xce44c159, 0x5067683f, 0x19a51584, 0x2b767f5e,
+    0x7ffc1f95, 0x25b7272c, 0xcf6946b9, 0xd5d44575, 0xbe77a0c7, 0xc9dd45fe, 0x1426ff81, 0x03f8c430,
+    0x103ff4a5, 0xfad736fe, 0x3ea9df8a, 0xb5bad05c, 0xf3f733b1, 0x82c497a9, 0x27e9a65e, 0x22b6405d,
+    0xa6ff7b57, 0xf16ec71b, 0xcf329272, 0x7cc27eff, 0x3b47f31b, 0xbcf539ae, 0xe18ce96f, 0xae77e49e,
+    0xb353f3a0, 0x8f453cda, 0xb12f50a2, 0xf8d9318c, 0x04ae33ec, 0xa64a3674, 0x6cf72725, 0x16b9b8a0,
+    0x70017a71, 0xbfed5ed4, 0xaf25464e, 0x8ec8c960, 0x90775a50, 0xc1fe8642, 0x62dbee7f, 0x38db4bc0,
+    0x91861e8b, 0xb6876fcf, 0xe9c56c37, 0x8bd05cee, 0x4aae50aa, 0x4ebaa007, 0x88071a13, 0x4ca8d701,
+    0x8b519bf3, 0x5cead941, 0x01810409, 0xe70b4f88, 0xfc349187, 0x0fd374c3, 0x2e57140a, 0xb1fe6233,
+    0x685ee0fa, 0x065291ec, 0xd7d2da60, 0x9dd264c4, 0xef3935f9, 0xfbe867dd, 0xd4ee783e, 0xccecaeda,
+    0x5c3e84e5, 0x6b3fc84f, 0x980992bf, 0x49240aa6, 0xf850ecd6, 0x72715c31, 0xc20549b6, 0x0224ae41,
+    0x95f2eb97, 0x8c94e6f9, 0x38acde56, 0xf32f0d43, 0xa03f221c, 0xb95edab1, 0x52d4f7a9, 0xbeef9e3a,
+    0xaf9440ed, 0xd3a6f9c9, 0x36579e40, 0xf40da1a4, 0x57dfd9ce, 0xe07bff33, 0xd4b6072a, 0xd63e9531,
+    0xec4a9145, 0x7f017b8c, 0xdb5475a4, 0xe4fc6023, 0x97b2b069, 0x218f09e0, 0x82dcd101, 0xabe94d46,
+    0xe09ade15, 0x64fc6b0f, 0x705736ba, 0x6033e7b4, 0x66acb165, 0xf042db00, 0x20fea3a3, 0x79829044,
+    0xce0c5689, 0x839004ba, 0x983d66f0, 0xfa2f117c, 0xdc07caa5, 0x81d75ed7, 0xc163bbc6, 0x5a996a38,
+    0x23c3c642, 0x1158294c, 0x1c8e2b85, 0xeccd309e, 0x60ed0418, 0x5a3d06df, 0x97308f79, 0x1b0d7ac9,
+    0x286adc90, 0x27e734d3, 0xb0dc4a29, 0xb44a1c6c, 0x8846ca35, 0x2bffc3fe, 0x518c7d0f, 0xf8f48b8b,
+    0x5bf3c68e, 0xf18338b9, 0xa048b36d, 0xbac8a651, 0x9e0c6fce, 0x10296ea6, 0x59f1ad6a, 0xd102de64,
+    0x2ea3c5f6, 0x31c53e87, 0x29e7a297, 0x363cfdd2, 0x14817a12, 0x6775a975, 0x8fca8628, 0x000601a8,
+    0x1c8fdb19, 0xdafbb716, 0x80291a08, 0x151bc133, 0x3107b71e, 0x15f62aa1, 0xcc5b1382, 0x6cee0f67,
+    0xdf6c41e7, 0x9726cf93, 0x9e402fae, 0x6f75dcdc, 0xdcc8162b, 0x0571f1df, 0x04ce60a1, 0xb7953890,
+    0x7f218ea6, 0x344117d7, 0x74251f33, 0x11f50bc5, 0x449e4d11, 0xde0bb4e8, 0xee635165, 0x50960981,
+    0x3fe9d26a, 0x938e9d61, 0x3a190bf4, 0xcb048d0c, 0x597a5294, 0xf52303b4, 0x3d906ae0, 0x93a4bcaa,
+    0x5c19b535, 0x2588c8a6, 0xc8b2bc89, 0xaa49a8fd, 0x3bd0e6c5, 0x16519ae5, 0x7831c89f, 0xb1250846,
+    0xa2a8a028, 0x31f4b33a, 0x0d49c702, 0xe4d1e8b6, 0x2acd8b92, 0x11b809dc, 0xa2998de5, 0xdc01a6d8,
+    0x657d99b4, 0x23d1aea8, 0xb65460c7, 0xf4a5f042, 0x88052eb8, 0x871cccd9, 0x0edc32e4, 0x5cef5341,
+    0x506e1ac6, 0x2d176c59, 0x3d0e2b3d, 0xc1206653, 0x2915abc1, 0xbb376d0a, 0x0182b47b, 0x5667601c,
+    0x298f1504, 0xb7a02244, 0x92da681e, 0xa414e72a, 0xb26e5ae6, 0x8ff415e4, 0x05bd4a47, 0x2b617dac,
+    0xb327b0b5, 0x80dc8b11, 0x419947d4, 0x8ed3dd72, 0x14c4d4ba, 0x66426120, 0x44f42acc, 0x6b2de1dc,
+    0xdb8c284d, 0x9c49fea5, 0x4dd7399d, 0x3615f600, 0x07aac013, 0x462f8ea8, 0xe3839f02, 0x44ffa937,
+    0xc677ee1b, 0x3103a98b, 0x41fb7ad6, 0x79b8a2c7, 0x27ec657d, 0xc639f150, 0x2f789193, 0xad185831,
+    0x21f805c5, 0x9f03c793, 0xb20f1050, 0x147b811b, 0x0a50e48f, 0xa7b1a61b, 0x12c71f15, 0x68d210be,
+    0xa7cb6aeb, 0xac39569d, 0xa26fec70, 0xd7b70487, 0x93a6050c, 0x8fe50a3a, 0xfbd7f0fd, 0x1bf9b168,
+    0x147a7839, 0x72478a09, 0xb4498ede, 0x617682e3, 0x77288f13, 0xaf4d0be7, 0x435670a0, 0xff77e93f,
+    0xbe949111, 0x1d775c15, 0xd5541e59, 0xad6273c6, 0x95cc678f, 0xd41b1a26, 0xf2001f85, 0xd9dd9e26,
+    0x74b73b5d, 0xc6ed4e4b, 0xdbb4a66e, 0x42e78fd3, 0x20d64ace, 0x49356979, 0x95fdba0b, 0xc4a10c21,
+    0x07a4b5b9, 0xb7995111, 0x176ce206, 0x7d6addeb, 0xa022340d, 0x3df76555, 0x5de61ea2, 0xed04abeb,
+    0xe3335663, 0x5c7cb835, 0xb2d4db87, 0x583fb86d, 0x3081e29f, 0x7722d398, 0xc62de02c, 0xe6e7e1a6,
+    0xde0b74a1, 0x59f4c325, 0x791e2177, 0x3fcf73fc, 0xc39922f0, 0xfd572f64, 0x17e7f837, 0xe8d77eb8,
+    0xb0a43141, 0x66079cd9, 0x43ffc109, 0x11b468a3, 0x2497e9a3, 0x5d3bcc68, 0x5b873904, 0x7f582b43,
+    0x08698fa1, 0xea4ece68, 0x3253e7a2, 0x1aa4f66f, 0x7847a577, 0xf13937b5, 0x87bc2dbd, 0x76d44900,
+    0xf199f02c, 0x109b5631, 0xc3433cd8, 0x07b197f2, 0xc6f6abfe, 0xd8a8ba96, 0x1aca8d51, 0xfe4a7051,
+    0x2a4348c5, 0xae18f213, 0x8d155d8a, 0x8d083d83, 0xc69a0767, 0x9195aecd, 0xaca32418, 0x82ef14dc,
+    0x4e896b03, 0x2dd106ab, 0xb8463211, 0x023b78ca, 0x492991f6, 0xb8d67bec, 0x54d22912, 0x78070130,
+    0xbf22398b, 0x14d0ff3e, 0x78f5a8c2, 0xf6d8703d, 0x835fa7d4, 0xb585d28f, 0x57d418b7, 0x0a93452e,
+    0xd246ca2d, 0x55596b12, 0x301054a7, 0xf8a3d10b, 0x3d35b27f, 0x66858b4d, 0x675c648d, 0xb8efced1,
+    0x929860c0, 0x315ce1ca, 0x29aefc5b, 0x4dbfdf39, 0x662ddff2, 0x5ac33072, 0x6e25fc1f, 0x6a9d9d95,
+    0x41f1c1e9, 0x00b93468, 0x94cfc20a, 0x72a83c54, 0x79a7fcc9, 0x4a721f58, 0x6a7d6410, 0x50e98bdc,
+    0x08d59b10, 0xdad91b34, 0x0a37a20d, 0x5c56919d, 0x76b195c8, 0x8b111d5f, 0x6349ea1d, 0x4a3c7a74,
+    0x7c9a57f7, 0x4eac3da8, 0x7a9404c0, 0x29b5cdf4, 0x75ffcec1, 0x28795310, 0x8a7b23b4, 0xffc6af36,
+    0x991d5fcf, 0x41e8dd9b, 0x132aba94, 0x5472a39c, 0x70f96ba4, 0x1cf83a42, 0x0dccd7a6, 0xc33dd6f9,
+    0x1f417d74, 0x64237b3b, 0xe0509e94, 0x6f18d62c, 0xe6a561f3, 0x6deb74e2, 0xde7cc82b, 0x62c96b16,
+    0x56108a8b, 0x21530c56, 0xbe890b5a, 0xd2b46959, 0x1356c5ef, 0xd53cca59, 0x82d79a2a, 0x9377ee6b,
+    0x840c09a9, 0x307c4708, 0x47c8c66e, 0x36cc8b22, 0xd5303f4e, 0xd41a4a0d, 0xb8233099, 0x34b546c9,
+    0x537ec04c, 0xb23d9265, 0x7ce666db, 0x119bf98f, 0xb030e7a2, 0x074248c1, 0x98bf2718, 0xb4b60fa2,
+    0xe1114cb3, 0x74fcb12a, 0x6c207826, 0x55f687bc, 0x92ff339b, 0x1f9a10e2, 0xa484d016, 0xd7baa144,
+    0x65a1faeb, 0xb2add00a, 0x3ce7372a, 0x8eab63c3, 0x2770d83f, 0x113a8659, 0x4395d7bf, 0x1cd9f739,
+    0x22296e7a, 0x7e24c953, 0x9ecca030, 0xd38663fd, 0x528f867a, 0xd861bc53, 0x7daa5543, 0xb2d3e082,
+    0x05ad0a7c, 0x98059168, 0xf4c82d03, 0x0a21c411, 0x059aa504, 0x87682b43, 0x69cc5aa0, 0xb8167a6b,
+    0xfda7a0f7, 0x2e202cd9, 0x74e29bea, 0xff75494d, 0xa95de069, 0x4d2dbb3b, 0xef47a40f, 0x8ff854b0,
+    0x669db850, 0x6e1ae498, 0x101993dc, 0x70a94061, 0xb2e7a62c, 0x14653ba0, 0x0d156054, 0xb240bf49,
+    0xafb7c8e0, 0xbc0331f5, 0x57d4a322, 0x0dc64cae, 0xed5e771b, 0x8eafc574, 0x18d67008, 0x185c14de,
+    0x19d3cd79, 0x5bc14607, 0x59fa2c37, 0x8388d103, 0x1d2195c9, 0x5fcf1d16, 0x9e2693ce, 0x93b814cb,
+    0xfadd5a4a, 0x8a265c7b, 0x6db5654f, 0x25691ac8, 0x0b0ca3b2, 0xa4a0b0a5, 0xec246dd3, 0xe6f42d65,
+    0xba5d8719, 0xe09d29aa, 0xe9d4b08c, 0x30043e77, 0xb47516a1, 0x2731d347, 0xcb09fbb2, 0xc724eec2,
+    0x8d92fb65, 0x08e95a6e, 0x539e245c, 0x667b560b, 0x90a29285, 0x698b062b, 0x4cf48812, 0xffc9448f,
+    0xa03e73cc, 0x923109df, 0x51b72c8b, 0x43671910, 0xc05bc8e6, 0xb55759de, 0x7015c58e, 0x2d44f8cf,
+    0x0fd120ae, 0x33b6672d, 0xda52f52e, 0xd5d8d0e5, 0x07625ed2, 0x0af312e8, 0xece643d0, 0x168bb043,
+    0x7357b864, 0x2837f826, 0x22b1b5f1, 0x5bddd3f6, 0x30f55d32, 0x09de3d6d, 0x3ecde929, 0x7b5d81a0,
+    0x8b550259, 0x9db9bf94, 0x40a195ef, 0xd1472ca1, 0x33f8b3d7, 0x40660467, 0x48ccf7a5, 0x8d8fdf16,
+    0xc4391255, 0xe91a9a18, 0x438cf776, 0xc1a72262, 0x78e15739, 0xea326db2, 0x6d06b210, 0x7c7bf462,
+    0x2a8effc6, 0xde1cb18f, 0xf0dd0649, 0xffbcc8ea, 0x34341b5c, 0xd5fdf152, 0x5e0de5d1, 0xf5207933,
+    0x364caa4d, 0x9992f296, 0x3a4cffbd, 0x7ec9acab, 0xb3174e19, 0x4ff61597, 0xf2c9fd5f, 0x77004889,
+    0xcc2a6d93, 0xeec55cf4, 0x53416187, 0x8e518b4c, 0x69cff734, 0xfb518968, 0x7c4cf15b, 0x260d4af9,
+    0xf00b5832, 0x09c8d890, 0x76857e31, 0xfb58e48b, 0x1f335060, 0x9094b424, 0x8d2a388f, 0xe0f8390b,
+    0xeb8cabaf, 0x6c267781, 0x48abd680, 0x504c0b9b, 0x2efead8b, 0x4c6ff4bc, 0x8ba1be95, 0x4fa5c47a,
+    0x426f26c8, 0xaea0ae33, 0x6acf76e8, 0xf4da0814, 0x69f7271b, 0x0b648a63, 0x87d844b7, 0x2d05e55e,
+    0x58881576, 0xabe84e59, 0x1ca9b2f1, 0x094b52f1, 0xf3e7692a, 0xd093878c, 0x2af388dd, 0xb9ed2f4e,
+    0x3faa2f63, 0xb32716ae, 0x36007286, 0xd8cb2500, 0xe861828c, 0xb538704f, 0x2f3f979a, 0x441c56cd,
+    0xe8962260, 0x64728772, 0xd26f862a, 0x1457e570, 0x82398ea5, 0xa63e9fe9, 0x6cffa15d, 0x2dc0e2b9,
+    0xdac9fea4, 0x35120cf9, 0xa8aeb04e, 0x3a11119f, 0x8fc299f5, 0xae6da6ac, 0xcdd20777, 0xa06f0f6a,
+    0xb440aab1, 0x4f065b0b, 0xf86e61d8, 0x17eb7e58, 0x8c643aa0, 0x08f1d520, 0x4dfc6f9c, 0xbf1fcf35,
+    0xb5ac1d40, 0x37b564a5, 0xd550ffc6, 0xbc745c01, 0x93f53aab, 0x40845f52, 0x475def2c, 0xe2020024,
+    0xc935a0f2, 0x55764f75, 0x55fe8308, 0x4cadea0a, 0x1197cb5d, 0x32918a1f, 0x436fc772, 0xa3ab8634,
+    0x9c7359a2, 0x058bffdc, 0x3b2b498a, 0xf20a6725, 0x5668b899, 0xee13014c, 0xdc8b2f2d, 0x7500ae08,
+    0xd8abaae0, 0x8cb5647e, 0xe004b294, 0xf709c59d, 0x11515062, 0x56719712, 0x7d1b1ca9, 0xb4402e87,
+    0xa4447d50, 0xc7983542, 0x562eac94, 0xd709ad80, 0x137b0fe2, 0x8ee59348, 0xffb93924, 0xce860707,
+    0x470dec15, 0x1f69be28, 0xf6f6b77e, 0xdbdb5cc0, 0x15bb956a, 0x95f09745, 0xa4e99535, 0x3af38241,
+    0xec4b7cc4, 0xbf1e5eca, 0x53e7c9d9, 0x7585760e, 0x9e046985, 0x14c4cda0, 0x4e411c99, 0x6659c3e2,
+    0xe1243bf8, 0x964dd8b5, 0x7c39365a, 0xcf6d9c93, 0x1e07e71b, 0xbd47bcd8, 0xf454cfe9, 0xfb79d4a1,
+    0x233e5362, 0x637baeb5, 0x544faede, 0xf123b60f, 0x71342513, 0xc29d4778, 0x2c14e7d1, 0xa6f00593,
+    0x266edb10, 0x558dcbf7, 0x24273aa8, 0xb7e798aa, 0x0e564865, 0x9785ab56, 0x431ec3b2, 0xf37a9258,
+    0xe37f8d9b, 0x518e774d, 0x935768ac, 0x19485244, 0x077f6d68, 0x9a6a37c4, 0x87c21124, 0x0d171c11,
+    0xce07044f, 0x4ee5f219, 0xc7f1ab70, 0x75d4b7c3, 0x24769efb, 0x87e89e2b, 0x70dfcb19, 0x19609bc9,
+    0x2815dcfa, 0xeef933d0, 0x648dfa80, 0x8f3e43fe, 0xa4fbe762, 0x889d7b64, 0xf7d4c00d, 0xe1f67d02,
+    0xe8442cc1, 0xb509ceb1, 0xc6f13999, 0x2e758d97, 0x6fbbf080, 0xb7b67451, 0xda185ae2, 0xf50e7410,
+    0xfe1096b2, 0x16eadbfc, 0x2d46e373, 0x26654ee2, 0x036a8837, 0x4460fee6, 0x3533166b, 0x79bc890d,
+    0xa65c0324, 0x18030abd, 0x5f35b158, 0xcf991849, 0xa9d204d0, 0xbf12edd6, 0x70c411df, 0x372227c1,
+    0xa80ee415, 0xeda3739d, 0xa9ba9a08, 0x56f3631a, 0x2998ac28, 0xf5a0e289, 0x3a18120f, 0x64a81336,
+    0x61cc6ed9, 0x0287f1a5, 0x3f94bad4, 0x8b73017a, 0xa5f771de, 0x38cdef72, 0x19cb8200, 0xf2314443,
+    0x6e59c77b, 0x817d6669, 0xfc00c57f, 0xd1f55fff, 0x02fe34d3, 0x99a04cd2, 0x7d8bbe81, 0x827f076c,
+    0x610db28e, 0x6fb635e7, 0xaa01f405, 0xfa93a514, 0x17b8b8d6, 0x92ecdbfc, 0x7f75b583, 0xa90c4bbc,
+    0x6eaf9ec6, 0x76a886e4, 0x372a0b0d, 0x7f3867e4, 0x46925006, 0x00230826, 0x8c420b52, 0x2709868d,
+    0x8c9ea3f6, 0x6aabd093, 0x484158cd, 0x5045a864, 0xd63b245f, 0xa9c89209, 0x126e6df9, 0x628b921a,
+    0x5562d2c2, 0xe99c582a, 0xcdb92cd3, 0x97dacfc6, 0xee6b136e, 0x504eb148, 0x96fc777c, 0x247ea3e0,
+    0x2c59ff7e, 0x96edb475, 0x5a8fb7b5, 0xa6dec22e, 0x006cbdeb, 0xa7ee0ca3, 0x44eb7311, 0x05e7e542,
+    0x2b7c304b, 0x6ad01ce4, 0x3934925b, 0x2bc3d31d, 0x5999c541, 0x9ffa8351, 0x7392c1d1, 0x27abe1ff,
+    0x0e79c26c, 0xa8779fb7, 0x45b9385d, 0xde09b31d, 0xdceab45a, 0x699721d1, 0xbe42f639, 0xaf922f64,
+    0x3243a3ed, 0x617acc24, 0xa3d80a73, 0x941e2ceb, 0x6b4832ac, 0xc5314bf3, 0xe30f656e, 0x6b991391,
+    0x54697df0, 0xf7760238, 0x3a41714c, 0x98bc93ab, 0x70b66fb5, 0x2cd288f0, 0x8928937e, 0x9ac2fca3,
+    0x00000000,
+    0x9254dfde, 0x1314ac5b, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000431359146674410236714672241392314090778194310760649159697657763987456 */
+  { 0x00000000,
+    0x9f7d7c27, 0x4cc20189, 0xf60e7e6e, 0xb57b72fe, 0xfe3ced16, 0x25ca3844, 0x942b3066, 0xb6b94693,
+    0xc72ec9d6, 0xb03edfde, 0xe4b0c1bb, 0xdec1353b, 0xdeeac614, 0xf8fb6aa9, 0x55e7ecee, 0x0f3b0eee,
+    0x890a210f, 0x4b9b1e98, 0xe6f8e347, 0xd73ede94, 0x901c3011, 0x8985c1ee, 0x6cb54c7b, 0xe326cd95,
+    0x05c4b982, 0xc269542d, 0xf6d9ffac, 0x13618235, 0xa3e4fb9e, 0x72daa41e, 0xacff41bf, 0x2efc72eb,
+    0xf9f05d96, 0xa8fef700, 0x1387dadf, 0xe5bd8d00, 0xd65cd1e1, 0x3387b36e, 0xbd244bc2, 0x7e777047,
+    0xf837f5fb, 0x3edf9c1f, 0xa92e8637, 0xbb2a43ee, 0x5f1c3170, 0x3e9e99ad, 0xb3359827, 0x5d91f859,
+    0xeeb5bb68, 0xd127de2c, 0x11961107, 0xc65c3d68, 0xf8eb6134, 0x972f4071, 0xb4a95db4, 0xd7a314c9,
+    0xe53e04e6, 0x7049faea, 0x37567d2d, 0xa5e8d8bf, 0xc77d5e8d, 0xeedb1883, 0x26acfb87, 0xf3773e70,
+    0xbd4bfab8, 0xeb057362, 0x8750b14b, 0xacb6603a, 0x53d0ffe8, 0x7eda17d6, 0xa887fb9b, 0x80e76a28,
+    0x3744cc86, 0xea05d199, 0x5494961f, 0x8ed4c697, 0xb8f948fa, 0x806064a0, 0xab4c5e4a, 0x4109eecf,
+    0x898f0b1d, 0x9b65deff, 0x31e4e552, 0xa2984760, 0x71710826, 0x25f00b91, 0x3f609aeb, 0xe0ec72ca,
+    0x3fd8618e, 0x68f7bddf, 0x59d9ec65, 0x86310fff, 0xe08d132b, 0xce19d283, 0xa4efdf87, 0xdf7b50a1,
+    0xf4a7b15c, 0x9e172c3a, 0x1ee36ba1, 0xe89845f3, 0x5c1c6a97, 0x54963e4d, 0x193d1d30, 0x9783fa05,
+    0xb8ee4b7c, 0xd4d04d05, 0x1583a881, 0xb0068071, 0x60970ebb, 0xe73dbbcb, 0x6bd03479, 0xe39b2288,
+    0x885cf28a, 0xa65b9496, 0x68c8c9d8, 0xad5e5e5d, 0x5c353550, 0x984c691c, 0xa45742cc, 0x6539ef14,
+    0x599fe1f5, 0x17a20bad, 0xf2eb2645, 0x03de38f3, 0x9cf48a38, 0xd082011e, 0x5b667a25, 0xcd4ddb61,
+    0x7819bb70, 0x8b8c5ac6, 0x23561741, 0xe35521d4, 0x43c07abb, 0x005a9803, 0x1ef4b95f, 0x481e6716,
+    0x29482ddb, 0xf2ff5c56, 0xabe07bc5, 0x1ab328da, 0x2a53e649, 0x6284f96f, 0x505397bf, 0x0182420c,
+    0x8c7b9de4, 0xfcc64ad5, 0x317e6621, 0x5610212f, 0x9235d3c9, 0x782208ef, 0x8076044d, 0x6a6555e9,
+    0x37461c5d, 0x4e39a409, 0x74f930cf, 0x56a73797, 0x98a711da, 0x393c332a, 0x6de3cffe, 0x69b9a3e4,
+    0x39337cfa, 0xfb5cffbe, 0xf4d8235c, 0xb9b0ecce, 0xec5b2e93, 0xedbf6e2d, 0xaef8cff6, 0x1a38e7dd,
+    0xbede573e, 0x6726015a, 0xe0637a6b, 0xba4991af, 0xc55c467f, 0x1f61de45, 0x0d6eab6a, 0x89240b24,
+    0x133e327d, 0xcd2c9992, 0x221655af, 0x2efc2e35, 0x4a91a36f, 0x46366d03, 0xbc55ee68, 0x26ba3950,
+    0x315e1d49, 0x6658f2ad, 0x7b4fb0f3, 0x4ccbb7db, 0xb0f56106, 0xd62ef5a4, 0xe7e3b4c2, 0x46541d14,
+    0xb3451c6c, 0x09ba6f38, 0xaae3517f, 0x80effbb3, 0x71107c2d, 0x8d8c5b69, 0xbbb54b56, 0xcb671e57,
+    0x3a39a5de, 0x764865d9, 0x471cb649, 0x07f0d7ea, 0xd672c8cb, 0x5b75a702, 0xfd102176, 0x8b3dfdaa,
+    0x229530ea, 0xc3b94d89, 0x86f55c63, 0xaef64c2e, 0xd39d98bc, 0xe031c3b3, 0xd8222fce, 0x463f5452,
+    0x96f51a33, 0x0b61f356, 0x5de45804, 0xeef6f991, 0x8be8dade, 0x7a6d3b15, 0x6637b795, 0x4f8e0afe,
+    0xa12df222, 0xf9493112, 0x97405e90, 0x6465e81b, 0xe688b686, 0x09569e25, 0xe29bcade, 0x1c5b30a3,
+    0xb49d64aa, 0x889fd391, 0x8041700d, 0x0e793a47, 0x4e04a5ce, 0xae6d58e3, 0xb62279b4, 0x1e451309,
+    0xcb879e2f, 0x2c875ce6, 0xdb55ed2e, 0x3996817f, 0x39a6f526, 0x7660635c, 0x5cc4f00b, 0xa673b69b,
+    0xecb466c6, 0x34004b3d, 0xa8cf3641, 0x38213e93, 0x162d6677, 0xc32f34f9, 0x8e2a55e3, 0xed98d256,
+    0x89e4d8b0, 0x1344a2c4, 0x785a84ef, 0x45e9a6e8, 0xc06eafd6, 0xf0b5ee52, 0xf77a907d, 0x29ca52b0,
+    0x6976a703, 0x0d19b5e4, 0x909116a4, 0xfddfabe2, 0x319246ee, 0x6af6e510, 0x09929470, 0x227d2f7b,
+    0xdf79cb74, 0xcd82a8fc, 0x724e2ecd, 0x38ea6558, 0x52ab91aa, 0x6879cfee, 0x02ecee98, 0x72692809,
+    0x96821d24, 0x0129e9a8, 0x7e6f9548, 0xd44259b6, 0xabb5ff84, 0xca297b47, 0xc7e3985e, 0x629c27ef,
+    0x3ca58e9c, 0xf3e97f5f, 0x3f912a0b, 0x81af250a, 0x5c3f7eae, 0xb644b0ef, 0x1aac32f9, 0xe481dda1,
+    0x03a3ac7a, 0x8c444ae6, 0xa4fe77ed, 0x4098b97c, 0xe262e8eb, 0x43c36921, 0xad8905ac, 0x36192e23,
+    0x7b67c49f, 0x83dc3f26, 0x666c1be9, 0xb03793d9, 0x21cde0b9, 0xb3f0cc45, 0x97bf264f, 0x71dd0d16,
+    0xeda08eeb, 0xec458d08, 0xa48c0734, 0x7adcc2be, 0x5704654c, 0x13c3d226, 0xbc3b08c9, 0xb559e695,
+    0x3e2f05db, 0x7178e3c9, 0xfb9863c9, 0x3083509d, 0xf84ac7ea, 0x85b9a93a, 0x2a7dfc86, 0x11994088,
+    0x5c65d66f, 0x3103158b, 0xa3bdbec3, 0x1d1a0a72, 0x2b6e36a6, 0x89aafa62, 0xf230e364, 0xae73e8cb,
+    0xcf47fc61, 0x6baf7b68, 0x0b2e878a, 0x515dce68, 0x156c8f7a, 0xbaca764b, 0xb4db8d86, 0xe2cf39b7,
+    0xfc64c0e9, 0xd46c8601, 0xc2f1b213, 0x83e28457, 0xf836938c, 0x1cc58cc9, 0xdcf94195, 0xcc1dc52e,
+    0xa510b78e, 0x33ff4c91, 0x0097b8bd, 0x29bce305, 0xbe267581, 0xbf54e77d, 0x0deec297, 0x97b69782,
+    0x0511b849, 0xd4c1f2e6, 0xbf2f7fa6, 0xe5a6306b, 0xbf6b8785, 0xe09481ff, 0x8cd30b0d, 0x11bceb71,
+    0xb3be22a8, 0x74d07384, 0x86d44e34, 0x5ad17a55, 0x59721f19, 0x896ad114, 0x832a8d96, 0x4bd75e8b,
+    0xb29ce673, 0x498389fa, 0x60881dad, 0x20aa4e8f, 0x7c8dcc5a, 0x59654b7c, 0x3d8b8ba5, 0x9b8f90e6,
+    0x9064a516, 0xe81a7d52, 0x976bdbe8, 0x2bf4bd51, 0xc7e09711, 0x54cb2bca, 0x807fd116, 0xf60a5aec,
+    0x42e95ee5, 0x2f58b3ec, 0x476b8c49, 0x7d838a3f, 0xa2a52419, 0xb1c6bb34, 0x9f5f6be7, 0x9c20af31,
+    0xc974c2cf, 0x1d030b5b, 0x4ba95436, 0x00b1e588, 0xaab4f6b9, 0x2738cdf0, 0x8bb08901, 0xba14b8be,
+    0x53662ec4, 0x3d6a709d, 0x7440c29d, 0x126ce697, 0x65970e46, 0x20ebbf6e, 0x4d493c1d, 0x2b43ddeb,
+    0xfc2cab46, 0x7f3ea0d4, 0xe45f285b, 0x31333c39, 0x5d10bc95, 0x63f1af30, 0x6be29576, 0x3d63f22c,
+    0x6866a61d, 0x966c655e, 0x0e14b4f6, 0x5fde884f, 0xf37274dc, 0xa1a9386b, 0xdacd0d6c, 0x11eb1ade,
+    0x46893fc1, 0x91e80ba0, 0xffa06782, 0x4fa84cb4, 0xd3b0ff09, 0x2959bb10, 0xf611bce2, 0x6a643151,
+    0x1cef48a8, 0x95134674, 0x86792a2a, 0xae70f159, 0x398339dd, 0xd71f9d7e, 0x28ee8548, 0x0bf99182,
+    0x216bae46, 0x2f1bca1f, 0xbcaeab20, 0xc516ce3b, 0x33bf6807, 0x742f51cc, 0x32fdd260, 0xdd460083,
+    0x24b98255, 0x47b35fbc, 0x29dc5a85, 0x16a970e0, 0xc424c09f, 0x1a1f2dc1, 0xe60a7744, 0x86ee09ce,
+    0x13d95a0f, 0x8eff98c9, 0xf8a9a26e, 0x051a3bae, 0xef56236c, 0x525d7030, 0x69a3024b, 0x6174778e,
+    0x30a62b55, 0x54b16f9b, 0x6e9f9532, 0x7bbbc04c, 0x1f68abe2, 0xade30e99, 0x8a85320b, 0x686f8f57,
+    0x4640551d, 0xf59bed85, 0x9511c5cc, 0x36ebde0d, 0xa91ac969, 0xc285168b, 0x9d0bdda6, 0x71384084,
+    0x9e39e7e2, 0xd015eeb4, 0xc569e527, 0x157f4ccc, 0x035f8dad, 0x01ea69d0, 0x7f00e418, 0x70d820b9,
+    0x6e007179, 0x08822222, 0x4fa6125a, 0x05d67cf0, 0x0f1a7fb6, 0x6a8156c5, 0xf8dd6fdb, 0x83808c86,
+    0x75e205d5, 0x6c79b79a, 0x9e6b8098, 0x8385c986, 0xfcbee539, 0x9bbdbdd5, 0xddb8ef2b, 0xb7f8ca82,
+    0x654da0d2, 0x2effb54a, 0xf34cfe71, 0x181d5b9e, 0x4b7c073f, 0x1a267169, 0xf070d17e, 0xc348dfdb,
+    0x696d12ff, 0xa62a3f03, 0x1c840059, 0x2426cb55, 0xe1fbfec2, 0xc8af4696, 0x3a62cab4, 0x28b8c0a3,
+    0xcfd03956, 0xecbe37c4, 0xdf530a2b, 0x14f88998, 0xf96732d0, 0xa11c389a, 0xb9c6ba44, 0x22b35493,
+    0xbc331006, 0x91e238cb, 0xd2b08296, 0x58e87810, 0x1c7aabee, 0x3802442e, 0xb3dbb3ab, 0xa9381b22,
+    0x0ed0a9c8, 0xe0ee8aec, 0x30125ed5, 0x0a917ebb, 0x4be40566, 0x69e4a6c8, 0xbed78429, 0x775a8bda,
+    0x4b699081, 0x907fa3a8, 0x3a90d1e0, 0xf585aaa9, 0x8e53164a, 0x6b68423e, 0x2a91d61d, 0xd233bf34,
+    0xbe1ee37b, 0x42c3c871, 0x5708fe71, 0xceb6b62f, 0xd62f1420, 0x9310360e, 0x77351b3d, 0x1b35bdb4,
+    0x7c1de358, 0x57988b65, 0x8afd41fc, 0xb9e1d97b, 0xa28c5894, 0x4fa8a883, 0xab14e405, 0xb03f01a2,
+    0x54e8f5f3, 0x8a9adcd2, 0xb27378f3, 0xd225d7c2, 0xb0ab46bf, 0x7edb92d9, 0x9546cfa1, 0xb7332373,
+    0x24dd8444, 0x02d05635, 0x30478ab4, 0x96b827fc, 0xf2372548, 0x4d7c65c3, 0x5869f7e3, 0xf571b5ba,
+    0x043a2b1c, 0xf9d715f1, 0x66407fa5, 0xd5d51193, 0xcab8d56d, 0x430a38e8, 0x224333da, 0x01de2b21,
+    0x8e3e7b5d, 0xbcd00265, 0x92c5b807, 0x4ef7cb37, 0x003705cf, 0x8d7c5bbe, 0xc1b10b23, 0x81589b50,
+    0xff8ceb49, 0x5c4e77ff, 0x90bd685d, 0x466276ae, 0x29278612, 0x6524af1c, 0x0155d4ce, 0xd39c2649,
+    0xde489da6, 0x0e163dd9, 0xbda31055, 0xce0b411a, 0xa89160aa, 0xf75dd691, 0xa42de853, 0x81af98d6,
+    0xdbd1fdc7, 0xef7b7a82, 0xbd549232, 0x5d3fef8b, 0xc5d8d348, 0xe83fa37e, 0x6d6af301, 0x7d4fbb90,
+    0x7a8f0002, 0x1872243c, 0x98fbf178, 0x3a4da141, 0x07d6bc48, 0x3cf67f46, 0xbd85b13f, 0xae0d865e,
+    0x9022f71d, 0x85573ca6, 0xc1f7a55a, 0x5ff41fd0, 0x6c195266, 0x5d759a07, 0xded434dc, 0xb3952659,
+    0xf9c5197b, 0x8829e906, 0x97098a3b, 0xfb977150, 0x7e943e1d, 0x89a3c4ba, 0x74e7d02e, 0x2fdac418,
+    0x2a4064eb, 0x1bda4ff6, 0xbe004e9c, 0x63400ec7, 0xb2ddbe80, 0xd9ee5513, 0x75d0cd83, 0xda23fa5e,
+    0xef7d0c81, 0xe4f6be1a, 0xdaf0bb50, 0xe4cc5a02, 0x99318d13, 0x76165191, 0x70a040da, 0xbc6453cb,
+    0x1f6b495a, 0xb97fff59, 0x572bc45b, 0x75ebaa78, 0x80a1be8c, 0x27147332, 0x38443e5c, 0x26318f44,
+    0x2876d81e, 0xb4654ebd, 0xefa98421, 0x321f2b18, 0x3a298cfa, 0xfe610034, 0x5c20d87a, 0x49f2d2f8,
+    0x87ebe03f, 0xe447a2d1, 0x454f0f48, 0xe61b2fe9, 0x6b6ae194, 0x92034176, 0x1e4066b1, 0x54bf25c6,
+    0x22aafa1b, 0xa43b3b4c, 0xfc3a9457, 0x975361ad, 0x67c973b9, 0x2cf1f6d9, 0xfb69b366, 0x05f1bf42,
+    0x6a614f7b, 0x5f734d87, 0x9e98647a, 0xb75d3b97, 0x14317982, 0x5cf4d6c6, 0x599eb127, 0x8469faab,
+    0x73260686, 0xa503128b, 0xd0da66c0, 0x679572ad, 0xba7a0c94, 0x6df3bacc, 0x912e8413, 0x104b8e78,
+    0xc3c3ad9a, 0x7330a27f, 0x96f2d371, 0xc8840759, 0xb99bc5d6, 0xf2e4222b, 0x452bcc84, 0xe6054534,
+    0x3a5fa7d1, 0xd78e9456, 0xe224b6e6, 0x545a0b57, 0xd4b8ffa6, 0x958b56d0, 0x638decb9, 0x4f8adb66,
+    0x06194ecf, 0x1a459825, 0xf6bbecae, 0x5c960b6b, 0xca3b1fac, 0xd9eac235, 0x34b5bd9b, 0x7ad722a0,
+    0xdb9c1a43, 0x681b67d1, 0x0369b6ad, 0x1c6c9b69, 0x8f74935f, 0x7d0f6a36, 0xfe566ee2, 0xf2049ebd,
+    0x6f4fd57f, 0x6501e6b2, 0x14471bf0, 0x2d0ce1f2, 0x90be97a5, 0xdff0f1b0, 0xd2a02795, 0x16af476e,
+    0xd8a33015, 0x4ceb3fcf, 0x9ca3a2ae, 0x243de199, 0xc021bc8a, 0x765b5238, 0xc46bc9e5, 0xa703298b,
+    0xe3ab955a, 0xb740a9aa, 0xe342c310, 0x2df8f65d, 0x4a6056bc, 0x47e55e2b, 0x64234169, 0x09075d24,
+    0x3c9dd3a0, 0x768b7c6c, 0xd969d0eb, 0xc3766bcb, 0x90a4666b, 0xddf68952, 0x5af83573, 0xe9024ebd,
+    0x1c166395, 0xca81d361, 0x0e6e6963, 0x3a6aa7ee, 0x52fd4120, 0xf537130d, 0x2e8e2b9d, 0xe988f698,
+    0xeac16d4f, 0xf747f527, 0x6952907b, 0x75c8b7e2, 0xb0c18b15, 0x160dbf53, 0xea8b099f, 0x22b07a79,
+    0xedc2db03, 0xa62fa93b, 0xd42868bd, 0xec5a614e, 0xa880278f, 0xaa0e35bf, 0x8ce37c9e, 0xabd38ed8,
+    0xa42fc8f4, 0xd86cdf3c, 0x884fccfb, 0x47ff3111, 0xc1b545aa, 0x39203257, 0x7f5d8a1b, 0x9f6d7f58,
+    0xc56e48ed, 0xd72ed5a3, 0xc1797411, 0x56610858, 0x67be3f6b, 0x704bd937, 0x40289c53, 0x9cbe5527,
+    0xa29a94b8, 0xb40874c9, 0xa153590d, 0x4dab25bc, 0x78938eb8, 0x3ee3c7b8, 0x5a8382b6, 0x798bb242,
+    0xea207cb2, 0x2bd020a2, 0x83d702be, 0xe501a1fc, 0x4ed11a0c, 0x628ac0f5, 0xba532ed3, 0x11e61edd,
+    0xe8e196f6, 0xc975a80c, 0x23a147b0, 0x97ad4ad6, 0xfb8726f1, 0x51f31abc, 0x59fe1962, 0xb2ba03b9,
+    0xf7c999da, 0xc6f792f6, 0x0727ee28, 0x29de2e11, 0xd2892b08, 0x4257f650, 0xa7d124c8, 0x5a492882,
+    0x8eb40b8d, 0xab53ef87, 0xd793c5d8, 0xb84bfcab, 0x5acc282e, 0x1da3eb47, 0xafdee313, 0x68ab86b6,
+    0x11ad5601, 0xf2c90fd3, 0x804aaf3f, 0x06defa24, 0xa67c0281, 0x9b753f36, 0x2603c5fc, 0xb8ffc249,
+    0xacdb582f, 0x7b4e6260, 0xab56fb98, 0xca789ade, 0xe4b4e2bb, 0xfb32a798, 0x1b9c7719, 0xebad6dd4,
+    0x00962913, 0xfaa5e7ce, 0x622c9e54, 0x6eef5195, 0xbe700896, 0x39b702d8, 0x109f2c7d, 0xbafe64ef,
+    0x78672de6, 0xa63078e3, 0x0caf237c, 0xd90ed02e, 0x6e2b560a, 0x25afbdea, 0x56c387ab, 0x62ef124a,
+    0x3aad5d41, 0x706a0ce2, 0x565e6788, 0x5243c98a, 0x02a97003, 0xe0337a79, 0x728f14e1, 0xd7ec862f,
+    0x9379efbe, 0x5736c25a, 0x99ef78b2, 0x689178b9, 0xf7635da9, 0x9625c4cb, 0x8b62d92a, 0xaa3a8280,
+    0x9b0e2219, 0xd312a72f, 0x19455c9f, 0x9ead30b5, 0xdf5df707, 0xb9e1eec9, 0xaafa30d8, 0xd9891853,
+    0xce22876c, 0x64ad70f4, 0xd7e0a7b1, 0x3883b665, 0x901068b1, 0xcffcc42e, 0xb9c59308, 0x843ebc55,
+    0x1fbe12cc, 0xe735a6f3, 0x086c6165, 0x68d8fc6a, 0xb05ea823, 0xdaaeca0f, 0xba102c12, 0x5b55612e,
+    0x14050d00, 0x3403f800, 0x3d532572, 0x3022aee9, 0x8ac9a1ef, 0xf9ecc455, 0x1819a1c9, 0x077d5769,
+    0x6152226d, 0x884c29ca, 0x92430314, 0x7f3c56ca, 0x0527657f, 0x91e156ec, 0x388d4c67, 0x8fa0eb0a,
+    0x3ac87000, 0xfe5da8bc, 0xf441fa3f, 0x2ced75ce, 0x1b0d6f68, 0x0a97f881, 0x292d34e0, 0x811b98f2,
+    0x45c7e5dc, 0xeac02397, 0xd22a6a54, 0xd91358f6, 0x7550b987, 0xeb439f0a, 0x6efdf875, 0xe9d25df0,
+    0x33f9822c, 0x7af9781f, 0x4b9a75b9, 0x28d882dd, 0x60e58bbf, 0x65ffd8d1, 0xb927ddbf, 0xaaaa25c9,
+    0x9e84bf28, 0x86372700, 0xb7f7c5d5, 0xf56a98c4, 0x6a54770a, 0x942efdbb, 0x40793761, 0x1b2da59a,
+    0x760d0cfe, 0x0c649118, 0xd794df18, 0x46e309c3, 0x26fc1dce, 0xb90b937e, 0xd5586ae2, 0x930dcf7f,
+    0x99bf3ed2, 0x618682e1, 0xacd08004, 0x35edc83d, 0xdb62563c, 0x5419322e, 0x3c862bb1, 0xa9c1d31c,
+    0x5028e82b, 0x323e04b9, 0xbf68c9c2, 0x5554a0af, 0xf4802b94, 0x3dc5391a, 0x05aba638, 0xc70b9171,
+    0x00000000,
+    0xc92a6fee, 0x098a562d, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000215679573337205118357336120696157045389097155380324579848828881993728 */
+  { 0x00000000,
+    0xe0d3d5a4, 0x055b9da9, 0xb3be819d, 0x6f219500, 0xc01843c6, 0x1f96c0a1, 0xa0dd6fec, 0x69cb36ea,
+    0x75c106d3, 0xe0f486d1, 0x38a4e2de, 0x8caf46af, 0x3115e3e0, 0x6d45a0ab, 0x6d218599, 0xf2f05dd1,
+    0x36e351c5, 0x6c1603cd, 0x1ae9067c, 0x2618aa9f, 0x74814b8a, 0x743ae9f8, 0x4e77d85f, 0x2ac4f182,
+    0x49c1705f, 0xac60f870, 0x7e707503, 0xd7e76be4, 0xa9635059, 0xabec8a61, 0x92f91f6e, 0xb6a24ba1,
+    0x52f0e08a, 0xc3ca05f9, 0xd0ac5eef, 0x64e2e387, 0xd8594541, 0xb04d21b6, 0xac88b114, 0x60f9dfb4,
+    0x8bb5abe4, 0xef008b5a, 0x2735d6f9, 0x4ef4fba9, 0x4b1982f6, 0x1938f8f7, 0xa6007b8c, 0xcc134350,
+    0xbd8ecb43, 0x157aa338, 0xf3b69178, 0x1c8d93a7, 0x51c84c13, 0xae9d5d43, 0xc4173092, 0x35468dc6,
+    0x41bc9411, 0x6bd8a265, 0xd2f31839, 0x9c409bf8, 0xa67592a0, 0x9870c804, 0x190297e1, 0x25407a8d,
+    0x4cc241e1, 0x084d892b, 0x192ebb32, 0xceb75aba, 0x2505dd52, 0x08983f42, 0x7182c384, 0x10df51e7,
+    0x238cd1ca, 0xdc49be3a, 0x4e8dc02d, 0xf46dde15, 0xec258f18, 0xdfb381e7, 0xe0aeb98f, 0xb9cc5970,
+    0xb5cee863, 0x427978af, 0xbafb67de, 0x31db8284, 0x721c509d, 0xdb8949df, 0x5465765b, 0xa2f257e3,
+    0x15ab09ea, 0x43c7a84c, 0xba20b3f6, 0xd19bd910, 0x2f5b9984, 0x8c81b151, 0xff01a30c, 0xb1ca2296,
+    0x0c1daa32, 0x4c505c86, 0x6181c638, 0x54289718, 0xb239411a, 0xc44d63ef, 0x357083c4, 0x96cb4366,
+    0x1342bd70, 0xc4613181, 0x360133be, 0x5ae501d2, 0x533ce83f, 0x7575101b, 0xb01003de, 0xfd3fe000,
+    0x37037e41, 0xb0622ae9, 0xd40a753e, 0x764e726e, 0x3217d9cc, 0x75e5d95f, 0x569cc4fd, 0xb2339b44,
+    0xf90cd958, 0xb5a597f8, 0x6e8fb012, 0xb0b980a0, 0x9fa1f5f8, 0x88ec55c7, 0x6fcecd4b, 0x74f50ccc,
+    0x90393149, 0x955ea8e9, 0x32b3126a, 0x709dfdec, 0x65d3454f, 0xbc378cc0, 0x6e8278d8, 0xc9fe1a49,
+    0x4bad0b04, 0xc202ee32, 0x211b00ab, 0x2041fd7e, 0x4b0ed5ab, 0x7d511319, 0x4d24251b, 0x4ef7b921,
+    0x11b18773, 0xb07cb9ea, 0xec038be1, 0x25cd3f69, 0x2f096717, 0xdd5144a3, 0x538e57de, 0xb6f96b90,
+    0x5002c585, 0x502ccb80, 0x1392c917, 0xbab23576, 0x3c41bf17, 0x60709829, 0x03e85a75, 0xadb13e36,
+    0x7bb1ab1a, 0x8ee18406, 0xf1c6cecf, 0xf5d23929, 0xecb2b365, 0xd1294a8f, 0x131272ea, 0x1da6e47e,
+    0x0b8e45c1, 0x6c0fb203, 0x3890987d, 0x888de1cf, 0xa2f6b3c0, 0xd5aee0d9, 0x9b7045b4, 0x47d20ddd,
+    0x7ff04dc2, 0xf68147b8, 0x60029822, 0xbd64990d, 0x047201a1, 0x7e13ba9c, 0x6d1e350b, 0x50a51ba9,
+    0x18afd348, 0xcbc161d4, 0xa84806d5, 0x2217d5ff, 0x4745d3e1, 0x157885ed, 0x90084769, 0xcc7a7a2d,
+    0x6e45c149, 0x3858f416, 0x28e07dfa, 0xa326c6b0, 0xf2012768, 0x34f0d872, 0x2e3c2861, 0x76f35331,
+    0xf27e185b, 0x64d0c1fd, 0x5e1f818a, 0x77a549da, 0x5a837eb3, 0x9bb4dc96, 0x21eab67f, 0xc34c8f01,
+    0x9b1cd611, 0x8f7940d9, 0xdb3d44c0, 0x782c617c, 0x898c5077, 0xe75a795e, 0xa4e96c1a, 0xe5cdf5d1,
+    0x99defef8, 0xbdbdea4e, 0x2baf7423, 0xbb928d91, 0xe2973b6f, 0x5a583868, 0x2324538b, 0xa2cfd656,
+    0x49f56730, 0x12a7dd6b, 0x6cc5e408, 0x5d1d293b, 0xc187772b, 0x53195bb4, 0x36f7f503, 0xeac7a329,
+    0x583eabdc, 0xb47afed2, 0x07c9727e, 0xffa177f3, 0x38814571, 0x0ac3334b, 0xc0b4b548, 0x5ee0d678,
+    0x3c8e25a4, 0x3fc07b9c, 0x573181b2, 0x0a65562b, 0x3acd14d9, 0x1d5d1c0b, 0xe0c598f9, 0xe3320f3f,
+    0xb33df782, 0x21080245, 0x22498583, 0x3300eb56, 0xae31bf29, 0xbfeb69a6, 0x791ed1d9, 0x68b16fb8,
+    0x60de5b11, 0x1b9bdd7d, 0x66789195, 0xc3abaa02, 0xec9887f1, 0x08f75767, 0x2b051483, 0xbdc5a2cc,
+    0xf47988e1, 0x5bb64f44, 0x1641bb56, 0x6d588a41, 0x75de2726, 0xeabc93bd, 0x1e412ea0, 0x4ed1380d,
+    0xae92c5c8, 0x8540cf44, 0x596382e2, 0xa0db3a23, 0x0cebbf27, 0xcb1f0179, 0xe818def4, 0x0893a377,
+    0xd855e55b, 0xb685dc3c, 0x709b308b, 0xfdde29b2, 0x2583d612, 0x155c7ddc, 0x09e6756c, 0x7ad40e34,
+    0x4e436789, 0xaab8f066, 0x4309bb2f, 0xc61d6c62, 0x48ee9dd9, 0xa89da125, 0x73253bf5, 0xa19f9e50,
+    0x5b84121d, 0x604df6a0, 0xc4076993, 0xaf957ab1, 0x8779fc5b, 0x2f89d4a3, 0x6218b5f6, 0x11cb6c73,
+    0x66e186fa, 0x783dfe66, 0xec8a8c42, 0x08c74294, 0x7485e7c6, 0xa2a7dd32, 0x0897468f, 0x27bbcd2d,
+    0xca0497e5, 0x767e6f33, 0xfae02497, 0x5d6cd276, 0x95ea48b9, 0xe5acde8d, 0xb7a906cb, 0xacd89938,
+    0x551f285f, 0xc12fea49, 0x86f880f2, 0xc0921314, 0xbb39ef22, 0x01f4c92b, 0x5f5a4a42, 0x31f2f1b5,
+    0x5408da31, 0x234bd459, 0x067bed54, 0x9c2479b4, 0xca546ebb, 0x0f239cde, 0x9c0aaed9, 0xf3ba641f,
+    0x7bc95f43, 0xcabd1b83, 0x05f416fb, 0x67f22e49, 0xb16cb2da, 0x17e69c1e, 0x16d61a37, 0xa715fc00,
+    0x4ab613a5, 0xe1ba9f12, 0x4f36b625, 0x8a964e2f, 0xf94c1f64, 0x2f8c903f, 0xe283ede3, 0x3e73405e,
+    0x010d1789, 0xc79162aa, 0xd5dc7027, 0x8ddcec5f, 0x892b1b48, 0xe0a6a928, 0xf4fc8aba, 0xa8eaf066,
+    0xc5f6acc4, 0x2473c51c, 0x0757b970, 0xbd99a177, 0x4bff26ed, 0xc57cb4d7, 0x8f99934b, 0xcd1cc3f7,
+    0x03eeed1d, 0x679a913c, 0xeb7a58c2, 0x23cb8c83, 0x48a425c9, 0xc160c56a, 0x2e23ca56, 0x2b47c747,
+    0xca8bc48e, 0xce776c00, 0x2a6cb9d5, 0x230872fb, 0xa7a5fe2a, 0x67b2eeea, 0x6155a194, 0x184e03ed,
+    0xd3112e66, 0x98f51355, 0x8f8ff2da, 0x7b1fbb87, 0xeddc8914, 0x1ec029f8, 0x4a0c12c6, 0x00e9fd4b,
+    0x0b8eb8f0, 0xf70ee06e, 0xa7509cdc, 0x26f5ced3, 0xbe91e755, 0xb9e8289a, 0x180e3447, 0xd3e97bfd,
+    0x03d8df72, 0xbc7ed6eb, 0xde0439fa, 0x6ebcc3eb, 0x155a0f4a, 0x42f3b3ab, 0xc85b96d7, 0x785adfd9,
+    0x18bf1445, 0x481a94fb, 0x94b0ba74, 0x8ddead4d, 0xa6c13d7d, 0x1ec165d4, 0xf1624185, 0xc852a791,
+    0xb7b8794e, 0x09286d25, 0x3b7fd883, 0x9b01c348, 0x82cc0436, 0xef92ea4f, 0xe7e92a3e, 0x2969a246,
+    0xadd47f70, 0x1ab77828, 0xe9651886, 0x4b5bfab5, 0xf165322a, 0x6d52276d, 0x02e52cc3, 0x628b54d0,
+    0xa3313a98, 0x16ede9c2, 0x6621ecb3, 0x5f210501, 0xdc5c0686, 0x8f06bb37, 0x37403cf2, 0x29f98a05,
+    0x191fdce0, 0x449b6f29, 0xb129c753, 0x52e2dfea, 0x90c13e08, 0x22c0a812, 0xe0aa58d1, 0xaf204d96,
+    0xc9952353, 0x66c3c938, 0xfe145e9d, 0x2735068b, 0x8991264c, 0xc8303f4a, 0x1a3105d5, 0x3f0b51d5,
+    0x0a50b639, 0x4c79e68a, 0xefdeeea4, 0xebaf6998, 0x487d6093, 0x217159ab, 0xee4017e1, 0xbb05204f,
+    0x0bea3fdd, 0xb5d33a5a, 0x6ac145cf, 0x0f0564c3, 0x2c0417af, 0x46b5befb, 0xf058fc8d, 0x1350136d,
+    0x7439c470, 0xece48b96, 0x44228f4a, 0x90d86970, 0x7550da4b, 0xafc108e4, 0xd8398545, 0x1b51468e,
+    0x33600610, 0x0f8d8fc0, 0x517bc123, 0x5e659e99, 0xc43fabee, 0x797d1fcd, 0x34f21922, 0xba9cab7c,
+    0x74ab86ee, 0x453197b8, 0xa61da104, 0x96892e52, 0x2768dd9e, 0x1b98a665, 0xc6825549, 0x7327c263,
+    0xe21a95b6, 0x59632a61, 0xd0986d36, 0x980eccdd, 0x5b7cf44d, 0x87193124, 0xccd71d47, 0x4dc92abe,
+    0xf45e4419, 0x94a42877, 0xf1f19bad, 0x7e1cedb1, 0x7bbb2a28, 0x3e1c7cd9, 0x2b9b185c, 0x7fcfb822,
+    0xbc6dccdb, 0x3bdfb3f1, 0xa3a7ea00, 0x742ed89a, 0xd85fed80, 0x6ebe3f23, 0x7d8fc4e5, 0x794d06f2,
+    0x833dc146, 0x2abd29f0, 0x8ad43f39, 0xb6791d29, 0x82932568, 0x65f6c122, 0xb7fca327, 0x69e5dead,
+    0x800ef85e, 0xed62a958, 0x9a35d1c1, 0x5ef6582f, 0x3c524e49, 0x509b11ed, 0x281de6fc, 0xd317999e,
+    0xbe246d4a, 0xf246f33d, 0x65f8dcad, 0x777be593, 0x025a0da3, 0x0e3990eb, 0xa1cc05e0, 0xae6cdb9b,
+    0x672588e7, 0xd43455aa, 0x01dc88e4, 0xae931e1d, 0xa8c57138, 0x90625eed, 0xd5cce3ab, 0xf1746eb9,
+    0xa3d71900, 0x3cefd253, 0x99e26d0c, 0x3aef6e2c, 0x93e95680, 0xac4bbbea, 0x568ccd91, 0xaf4fc81f,
+    0xad6ba1bc, 0xbb065308, 0xf15d64ab, 0x2f6eb715, 0x3ba67087, 0x1b5025ef, 0xe79826ec, 0xa8223cc7,
+    0xce3249c2, 0xdc70ec68, 0xd9004e0d, 0x2eccbacf, 0x873bec72, 0x8e882c55, 0xf7b609d9, 0x422d728d,
+    0x56c62842, 0x24664aa1, 0x2aa6fb13, 0xdc347cd2, 0xeacc4a60, 0x640f7d14, 0xfe136193, 0x8e3dda17,
+    0x828856cf, 0xdfda21d6, 0xf7adca06, 0x59750b22, 0xa81d41e2, 0x420ae4f1, 0x2a12469c, 0x7185e6c9,
+    0x6f51f84c, 0xe03e9fae, 0xd0caf647, 0x2fcd84c1, 0xb4e70549, 0x07b7a531, 0x7b3bff47, 0xbc6c873a,
+    0x8be472f8, 0x4e482be9, 0x1ba7e246, 0xe6591996, 0x54ca853e, 0xa5b78c76, 0x752f3d8a, 0x8ee8b9a4,
+    0x7861d820, 0xe3bbcc79, 0xf1c22bf8, 0xc3422dbd, 0x25ee17ef, 0x73ed844f, 0xa927eb9a, 0xcd779a8d,
+    0x5aee6c27, 0x371ce641, 0xd448c3f5, 0x7a764e8d, 0x351d6d49, 0xb9b77816, 0x8ce0bd33, 0x8028635d,
+    0x6182ec87, 0x51c3925c, 0x6d964e64, 0xe18cf208, 0xf5f0f412, 0x313ad780, 0x76a9051e, 0xbe76d0b2,
+    0xb506564a, 0x1e5c93d6, 0x3f8ee1ba, 0xf8d7399a, 0x3c2304b2, 0xcfe85148, 0x38244ca7, 0x8235b794,
+    0xd93135eb, 0xac67d705, 0x48d1af81, 0xa0c1982a, 0xc8a2fb47, 0xe8da7c16, 0x3359a08d, 0x91dc39ce,
+    0xffe11c3c, 0x02cbd00e, 0xa855807e, 0xf0824f9f, 0xf27965d7, 0x886904a3, 0xa7addcc4, 0x0fddbe82,
+    0xde3a9726, 0x27ee219d, 0x62f83c9d, 0xfcd8e0cb, 0xb8a3d006, 0xbf68dbb0, 0xf34d6652, 0x15eb4f46,
+    0xce2dc6bf, 0xcc812143, 0xf6d88a86, 0x27c00029, 0x3e72d8e4, 0x3761e381, 0x2eb661d3, 0x445dc514,
+    0xf16c6e2c, 0x2ca421e6, 0x200b36e6, 0x713d8448, 0x622d069e, 0x8c8d7658, 0x8ad372f9, 0xc4d224d1,
+    0x08e7d072, 0x14bd846c, 0x26767e3d, 0xa9e72e33, 0xf7d4e084, 0x415cb984, 0x7495a3a5, 0x3115b263,
+    0x32599e4b, 0xc500aea1, 0x5babdaf5, 0xbfe64040, 0x6043650a, 0xae7fd1e6, 0xfada2504, 0x97c79539,
+    0x57d91985, 0x6f4f2b8a, 0x315b9444, 0xa1dad72d, 0x55f5e29e, 0x71c40b88, 0x41a77acf, 0x00028c85,
+    0x4b314be0, 0x05c48837, 0x525f2474, 0xa66ce756, 0x3a488819, 0x29a04055, 0x7ea4def3, 0x97f2a5dd,
+    0xe4947f6c, 0xd3e6d44f, 0x4faf637c, 0x0404d1de, 0x45d0e0a4, 0x4543fd3a, 0x722543f5, 0x29fb9f27,
+    0x098d4443, 0x9f8c8b92, 0x6673dc4a, 0xa117de73, 0xca9cdf26, 0xcb356b82, 0x2eeaf9ab, 0x4489b43d,
+    0x312578f8, 0x30a0614e, 0x89ca5120, 0xa4933f41, 0xf6188e58, 0xa9182a31, 0x12f85392, 0x4c6c7ab4,
+    0x946f5e04, 0x6f691058, 0x4e2e10f2, 0xc8446c94, 0x56cffbc7, 0xada8912d, 0x9619a077, 0x39e96483,
+    0x57996b8a, 0x98cfd26c, 0xc499db66, 0x8027d37d, 0x84a25b53, 0x943cfb46, 0x6b90131d, 0x4a07f287,
+    0x84ce041e, 0xc6fec021, 0xa7a4f81c, 0x082dbba4, 0x56c040b8, 0x7d54c009, 0x049c6f94, 0x7d4d5073,
+    0x2214f53d, 0x1af78142, 0x0fba7086, 0x5c72d167, 0xc4212f76, 0x344e870c, 0xb932fd98, 0xac72274c,
+    0xe7d0dbcb, 0x7a4b1abb, 0xfdd52276, 0xd8997f1f, 0xe6ec4163, 0x20b7c8d8, 0x2c8665bf, 0x7ed7ef73,
+    0xf3c94b3b, 0xc02d4478, 0xbb28dd1c, 0xd429aafe, 0x9c2ca63c, 0x720e018a, 0x9862660e, 0xbbf381c1,
+    0xb41a162c, 0x58b44ba8, 0x33c2b65d, 0x0f53506a, 0xba2896a9, 0xd5b2ba5e, 0x26e87266, 0xe0826052,
+    0xef1ebb2c, 0x5254ae73, 0x4bb5c4ad, 0xeb9ee32b, 0x6e8e63d4, 0xe4799fe5, 0x8ad65a01, 0xb676161d,
+    0xec5e638c, 0xc09e984c, 0x3737ff50, 0x7d9b8d3f, 0x5a2a7092, 0x75b2f738, 0x89b0dfb6, 0xcdd4e1a7,
+    0xeb10d124, 0x4abcfa75, 0xc21bf27e, 0x7ce5ada0, 0x924933c4, 0xb7b557a1, 0xa96a793f, 0x47a46b98,
+    0xd3fd8017, 0xbf500986, 0x1f1d3f07, 0x6b87869f, 0x27c016f9, 0x16b14481, 0xcb3e47b0, 0xe412edc8,
+    0xfea89ac7, 0xf866b01e, 0xe455f688, 0x3a3d1a79, 0xcec282ff, 0x0fb8bbfe, 0x5e71f12c, 0x11480495,
+    0x7fc457af, 0x69402c44, 0xa7484382, 0x5a6b2b9b, 0xd4820f56, 0x851f9a76, 0x7fa4e66b, 0x8507791e,
+    0xb83fecce, 0x253e781e, 0x93f5f7aa, 0xa22be4e6, 0xbd0d089f, 0x8391aa1e, 0xb9c9ceda, 0x1e8ca242,
+    0xda8d814c, 0x68a7424b, 0xe63583d9, 0x95f7b5ff, 0xc713c21f, 0x8e025139, 0xed1010da, 0x624418dd,
+    0xe08de315, 0xa94ea195, 0x65310548, 0x12b67151, 0xc391341b, 0x903992a2, 0x3ff1953d, 0x2d06d74a,
+    0x236533b2, 0x3b948c42, 0xb35be787, 0x238f8bc7, 0xcef2eacf, 0x37ab2d71, 0x6e083c8f, 0xa4db22c9,
+    0xed7e1588, 0x6d6b32c0, 0x383f9789, 0xc75879b7, 0x32eb1a54, 0x2bcf9ffa, 0x3660fa1b, 0xdd3c978d,
+    0x671922de, 0x61931ea1, 0x50b5f40e, 0xbd424e38, 0xb539eb59, 0xf9bb87be, 0xe95b1c21, 0x266c156b,
+    0xbb5f0e01, 0x3cc2b23c, 0x7ac5083c, 0xce1b009e, 0xc93fbc9f, 0x08d525b0, 0xbee0b27f, 0x973568df,
+    0x003969ba, 0x1a9c1f64, 0x1bcfd9e5, 0x4203f00e, 0xef6179f6, 0x12c8e9b8, 0x8c718785, 0x1d5ee9cf,
+    0x980457a4, 0x61d60749, 0x4d0967f9, 0x42e23ce0, 0xd1f17589, 0x3647c18f, 0x28f1af1d, 0x4694831a,
+    0xc55b69a7, 0x7580597a, 0x777fde5f, 0x36fbd0c0, 0x95cea204, 0x84f53e2c, 0xaab13889, 0x421fd13c,
+    0x60c98ec9, 0x31b6b338, 0x78864d3b, 0x7922257f, 0x47f118aa, 0x4cf091ce, 0x646124f4, 0xcd63e900,
+    0xd4ebc536, 0x09640821, 0x8a07e16c, 0xf39226d8, 0x111d84ef, 0x0c18740d, 0x628d04f5, 0xe566ece0,
+    0x2443c967, 0x18871227, 0x02c0d0ab, 0xee619280, 0x1fbf28c1, 0xf3b0422d, 0x8bbfd9cb, 0xa3f4deeb,
+    0x92d84acf, 0xc040fe04, 0x325c843f, 0xae3d6b5a, 0x76245524, 0xc63c42fb, 0x1435c582, 0x0d58381f,
+    0x379ed813, 0x7a6995db, 0x34c02c09, 0xd4aa9cd4, 0x5b2583da, 0x3242ad75, 0xc13ea2ca, 0x4af1d9aa,
+    0xe4868a81, 0x939cdd91, 0xdac26572, 0xe6da3e4f, 0x182fc0fa, 0x54c5284a, 0x3037a1fc, 0xa2ae2597,
+    0x9649e7db, 0xece17a76, 0x7fcf2ea4, 0xfbe134dc, 0x56243034, 0xeddb85cd, 0x5633427e, 0xceac69d3,
+    0x5c157a6c, 0x4c789a95, 0xa0710956, 0x26b4bb81, 0x42b79962, 0x446fc7e9, 0x21d0de1e, 0x5e12177b,
+    0x594b7730, 0x82c306b6, 0x943d7e31, 0xb935ec53, 0xc3eb76c4, 0x21f7344d, 0x2379dd0f, 0x1542f15b,
+    0x2bce5202, 0x12e13d87, 0x1b32faca, 0x164ae469, 0xabb7875e, 0x67b03b05, 0x161f4685, 0x53a7cc96,
+    0x25940be0, 0xe68d14cd, 0x2b1555a1, 0x1edf2fa4, 0xdaef6d68, 0x6b82e163, 0xb35f967d, 0xe1bbc023,
+    0x00000000,
+    0xe49537f6, 0x84c52b16, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000107839786668602559178668060348078522694548577690162289924414440996864 */
+  { 0x00000000,
+    0x75dd41fc, 0x3314075e, 0x4ee697d8, 0x446f7b7e, 0xec305ed0, 0x2a2b123d, 0x7cdef93f, 0x4879f4b0,
+    0x5b3d8f01, 0x5e4d73df, 0x6013516b, 0x95478294, 0x420f3d9b, 0x22d49459, 0xd0be49c0, 0xcbfc435b,
+    0xf1c2b78a, 0xcb334ebd, 0x5337190e, 0x76f688c0, 0x6e0709da, 0x7f099f43, 0x789e7e57, 0xe6716abe,
+    0x37ce3560, 0x18827719, 0x0af28873, 0xf7efc838, 0x64c3eaaa, 0x748049b8, 0x9d818910, 0x912e0df7,
+    0xccdf7a48, 0xbe69d35f, 0x9358d467, 0x590e7d14, 0x4acfafb0, 0x045b4480, 0xc5bb9cc3, 0x094a3615,
+    0xfabd6ae7, 0x1212c40f, 0x49b11ee6, 0xf78c91a3, 0xa9ba3d6e, 0x35a447dd, 0x3bddc813, 0x91c30641,
+    0x8ad88f6a, 0x84808758, 0x5b12f3e7, 0xc4767c7f, 0x34506117, 0x2cf6160f, 0x82c1e1f9, 0x118b92c0,
+    0xa727ed4d, 0xdd78afdc, 0x976441cf, 0xd19f0784, 0x6d7b638b, 0x46259436, 0x86ac28aa, 0xb5a7fc7b,
+    0xa15bdc12, 0x3e6b2461, 0xbe116dac, 0xf602d4ac, 0x3ee1dd11, 0xae42ef63, 0x6703c5ce, 0xefb307ca,
+    0x6662ebf8, 0x1a679baf, 0x8f47d805, 0x2e513a1a, 0xf30af335, 0xf4c6cd9e, 0x79732e75, 0x02a6936d,
+    0x8d0be7a1, 0xc4502b45, 0x7f5670db, 0x196b4a02, 0xf4fb5dd3, 0xb3655dd6, 0xa010d425, 0xb3b211df,
+    0x7eff97ae, 0x5c159abf, 0xc24664c9, 0xe0bd60d1, 0x96d51cd8, 0xe9b74cf2, 0x5095ce9a, 0x92f57057,
+    0x14758842, 0x4514f12d, 0x3f061a70, 0x19c8b9c7, 0xa7b60f9f, 0xca67a116, 0x34388f63, 0x49a254d4,
+    0x9c163346, 0xbafd646c, 0x232694ed, 0x784fef62, 0x9abdaf86, 0x0aac8f1b, 0xfa451c28, 0x8b406020,
+    0x6547ff30, 0xd2b7e03a, 0xaf60a97d, 0x566f06be, 0x75e986e8, 0x55b60162, 0x4a92bd19, 0x94205494,
+    0xa6d05d28, 0x2c48c6f5, 0x34a8aca9, 0x334ab8ac, 0x270264df, 0xc50bbe26, 0x9000420a, 0x43e175a1,
+    0xd11adbc6, 0x6ac95a3a, 0x1e3d36de, 0xef3d95cb, 0x92d1e787, 0xa415608e, 0x801912bd, 0x51f4ca4f,
+    0xf1e9b32b, 0x79b91d75, 0x10093675, 0x93455ad7, 0xc7e72bca, 0xb361d43b, 0xe0896c64, 0x067aa44b,
+    0x2df9bd3c, 0xc0adef15, 0xb92f1d3f, 0xccef2ffb, 0xcbd004f3, 0x65789f55, 0x802bf007, 0xb3ff9340,
+    0xbc0e9efa, 0xfb189e96, 0x3b9c7ddf, 0x6fd41b25, 0xae1c9f06, 0x1ea79911, 0x31358f7e, 0xf9975ef0,
+    0x5e0f7e51, 0x72f542d2, 0xe6665c9c, 0xac9cd72f, 0xef78e037, 0x16f667a8, 0xe378927b, 0x4c6cfda7,
+    0xa3c81c6b, 0x9e803216, 0x71e121d7, 0xc00810ef, 0x44330061, 0xe266270d, 0xd1cd8e4b, 0x854dd569,
+    0x07f41d92, 0x890a0404, 0xe4990def, 0x47da109f, 0x71717e15, 0x3c1385d5, 0xb82692aa, 0x5910b80f,
+    0xf31165e2, 0x729b0878, 0x2367da89, 0x3176d98b, 0x9fa79cde, 0x11d83995, 0x3017e6d5, 0x81debb5b,
+    0xb65a7e34, 0x74d9371d, 0x1ea0903a, 0xd48cbcf4, 0x9ba20f22, 0x39c3890c, 0xe1e5643b, 0xc71b0de6,
+    0x2acdc572, 0x7f29eafb, 0xd56adab1, 0x1211b914, 0xc2166c90, 0x2040b9b1, 0xd50c96d6, 0xfe30bb02,
+    0x0f43165c, 0x7641e3b0, 0x94073e08, 0x692d00b0, 0x38b84174, 0xf58672cb, 0xa7b8ecc7, 0xc3945253,
+    0x5540385d, 0xf275e863, 0xf534983e, 0xaa5dbd79, 0xb1d2baae, 0xa2cbf2b7, 0x16d65193, 0xf445aae2,
+    0x90a2b5b0, 0xce530923, 0xc711f8df, 0xf9cacb4b, 0xb074ceea, 0xc39554eb, 0x2e563c46, 0xec683538,
+    0x7ea638c5, 0x01d56b25, 0x1cf5d9e4, 0x51871c82, 0xffdcbc8d, 0x25f52410, 0x2b5e05bd, 0x84cd1d3d,
+    0xad540665, 0xa932a5a5, 0x488a24e6, 0xe162e74b, 0x7143e4a4, 0xf98d71c3, 0x8abb73dd, 0x7ebd9357,
+    0x7d6930cb, 0x884cc783, 0x8cd8fdb0, 0x01240e33, 0x0493215e, 0x730bfba1, 0x9d1d39fc, 0x90c50bf8,
+    0xcc731a18, 0x7dcaa8aa, 0x94dc3177, 0xbabff709, 0x83ba1e97, 0xa41ed19e, 0x9c7e02ae, 0x480e1eb9,
+    0xe991adee, 0x1c7f0298, 0xac2429d4, 0xcda3acca, 0x3292c6c4, 0x04874122, 0x596c4ea2, 0x6ceaa9d2,
+    0x1ba29fe9, 0xc626dd27, 0xda39a292, 0xf1fa87a9, 0x795ccdb2, 0x961d49e0, 0x6262b605, 0xd5c57c72,
+    0x6aba02d2, 0xcee79d0b, 0xe74db726, 0xe909c5f7, 0xa74e851e, 0xb4905e0a, 0xbff8bad1, 0x3f5d88b2,
+    0xeea4f662, 0x07d54822, 0x6aab2b6c, 0x284b165d, 0x9deee0a2, 0x20f2fd98, 0x555b7b31, 0xcea064be,
+    0x9c1781e0, 0x1fab1064, 0x6327eb08, 0x6ac0645e, 0x8a6aae6b, 0x73cc78fc, 0x7e24c44d, 0x768bd807,
+    0x10ad4d41, 0x27c8454c, 0xf4547d22, 0x1aa414a1, 0x2e5a4283, 0xe704601d, 0x03631faf, 0xbc81da6c,
+    0x73d32b2e, 0x912f41f8, 0xebd27c7f, 0x7025ef04, 0x80df069d, 0x80c15254, 0x80379e12, 0x729a2ac1,
+    0x8444d086, 0x0f9d6598, 0xc32d7952, 0x21bc5de4, 0x12d9f1d7, 0x655c7bc9, 0x66eef00f, 0xcf5b3395,
+    0xe6257d88, 0x6bfd5f47, 0xa6e9f50a, 0x22165424, 0x642f799c, 0xaa55d096, 0xe2e1d58b, 0x68d796b0,
+    0xc469c5d2, 0x2646d647, 0xb2044185, 0x0bd1645f, 0x83da0ca2, 0xf15373cd, 0x92c52033, 0x08aa805b,
+    0xfe99a472, 0x107b1055, 0xca075bd3, 0x9b6c48bc, 0xae95c732, 0x9a465894, 0x598f4145, 0x7f0cbf32,
+    0xf88d56c3, 0x7b27c16a, 0xcf6c39cc, 0xdb04dada, 0x2a0401df, 0x3421f4d1, 0x669f4189, 0xb329cb7b,
+    0xd8bcdf79, 0x95cdddc8, 0x8aec62ea, 0x75252662, 0xccee76b9, 0xf7e66d3f, 0xa24a9cd8, 0xdd220b23,
+    0x207cba30, 0x97648c15, 0xbe74a973, 0x5adb3602, 0x2e9a909b, 0x45667d85, 0x3f39899e, 0x2a6881a3,
+    0xe5a53ec1, 0xb8e5efae, 0x5be4a9ac, 0x88c0fcd3, 0x42080718, 0x20cbd6d1, 0xce9047d4, 0x8f0b2692,
+    0x9396191b, 0x01d3685b, 0xc997cd85, 0x81a52a16, 0xe714ab3c, 0x19e7212d, 0x520a80b8, 0xd4698d72,
+    0xcaaa6140, 0x9ff0d286, 0x8c524efb, 0xd4f61f53, 0xbdd515c3, 0x9ffe5692, 0xe71c31fa, 0x2b991dbd,
+    0xcb8f5c6e, 0x004e2af7, 0xf7885287, 0x117a54d0, 0x2d3f2779, 0x98b2dab5, 0x23cca0ea, 0xfd39f04d,
+    0x47bc4e91, 0x6fc5bb34, 0xfb879c3e, 0xb7b651af, 0xe3211908, 0x217ceb5c, 0x50cb7196, 0xe56f18de,
+    0xb31078b3, 0x8f745442, 0x68b7cb77, 0xc8e2b164, 0x588b29ef, 0x892eea11, 0x0bd0d4c0, 0xc7d30402,
+    0x6ec9ddb1, 0x3ff9fe16, 0x418d9dce, 0xeb67d100, 0x5db23862, 0x2e858794, 0x5db25e19, 0x325e942e,
+    0xe27c42f1, 0xc70fef08, 0xd9776fce, 0x63bd4022, 0xabd98745, 0x540a51c7, 0x8fcc13ca, 0x5963189d,
+    0xf549e967, 0x8ba4773b, 0x10b41856, 0xb8fb759d, 0x0a70a69e, 0x138ec15e, 0x3103326b, 0x210328ae,
+    0xd3dcb986, 0x4f5507ee, 0xa78f0292, 0xfdbfb27e, 0xa8278748, 0x644ecca1, 0xbc9f890d, 0xc848adcd,
+    0x380f6a35, 0x188db4f6, 0x7d2802bf, 0xa02f63c5, 0x0677f5dc, 0x50f72b6a, 0x9468676a, 0xdd41e1a8,
+    0xdc2435b0, 0xb7a81be7, 0x2f0e68c0, 0xf2e95b76, 0xc1bfd841, 0x379f93cf, 0x5f2e896e, 0xa1f56649,
+    0xffbb6df4, 0x6704aab1, 0xb40bc347, 0x1250146d, 0x52516b91, 0xd084c5f8, 0xd54bc1d7, 0xfd9a859f,
+    0x4e3d88cb, 0x356e63b9, 0x5b8c0e95, 0x2130794d, 0x9f989bf2, 0x6131e05c, 0x9c1aa148, 0xaeb3365c,
+    0x2f53eb62, 0xefef01b1, 0x01ff1520, 0x651dc1e6, 0xa6079d8a, 0xdf1f776b, 0x82ce7ebd, 0x703cb574,
+    0x5e268095, 0x1c0a99fd, 0x5c36378d, 0x9699bddc, 0x37d7ce27, 0x0c463aff, 0xd49b531d, 0x445f074f,
+    0x24a5fc3c, 0x08a16197, 0x51e77434, 0x4573929c, 0x88a5fac0, 0xb7cd2236, 0xf22014a3, 0x0ac4cfab,
+    0xcd4acc62, 0x0e26876c, 0x36f6d8f1, 0x769781b9, 0x2a3471b4, 0x4de5101a, 0x88f41c56, 0xc3579f67,
+    0x9bf2e906, 0x81994a40, 0x6101d1a8, 0xdc665d79, 0xd51af9ad, 0x6feebc4d, 0xe4a8d061, 0xfba6a536,
+    0x4d98d499, 0x092efe28, 0x52d1fb32, 0x5bbabd71, 0x915674b7, 0x01987e38, 0x7459c643, 0xabb72ca8,
+    0x72d9d08f, 0xb9a96584, 0xb3d42f00, 0xf659b988, 0x74390411, 0xcaf91e27, 0x0cd12758, 0xd7b138c3,
+    0x9ddfd011, 0xfaa3be09, 0x17e255cd, 0x6cbd6446, 0xacc181e2, 0xa225ec2c, 0x25aca9f5, 0x2b529256,
+    0x75794bdb, 0x4555f54d, 0x6915901b, 0x9c955dbc, 0xe94bbe4c, 0x79afa962, 0xc880c135, 0x40caa6d4,
+    0xeefab4be, 0x480e9ddf, 0xa12770bd, 0xda9d3aed, 0xc490d181, 0x51d5d9a2, 0x7a78d0b3, 0x854e6b59,
+    0x1dcae6ec, 0xb379a207, 0xa60a1ec8, 0xea602ef1, 0x1f488ef4, 0xcdb7ff57, 0x6585f07b, 0x3886faef,
+    0x92677834, 0xaf8d6b1c, 0xb228acaf, 0xb17f0bcc, 0x18481ba4, 0x7a2c1b11, 0xb5e4e2fc, 0xcf6aa5e9,
+    0x12b3caec, 0x701ca200, 0x00c5deef, 0xecb53619, 0xbd9cb57f, 0xfe9442dc, 0x22c05c6b, 0x1b54aaf7,
+    0x26b0120e, 0xdf77e9f1, 0xdf1a51d0, 0xd42d5ef7, 0xc44d7b34, 0x58af8e5f, 0x85c625eb, 0x99fd5555,
+    0xaaee0724, 0x4272b4ce, 0x7dbd0e39, 0xc2da0fa2, 0x4ec1cc8d, 0xa4bd445c, 0x14a641cc, 0x3820e30a,
+    0xc5719fae, 0x62210a77, 0x705c6fcf, 0x71581c59, 0xc223d36b, 0xa820f5a5, 0x693d5ea0, 0x57282dcf,
+    0x819556ad, 0xb2e0da3d, 0xe6ef6338, 0x214be38b, 0x231f6556, 0x570f9107, 0x6a6cf294, 0x172d80a4,
+    0xa5f7ea00, 0x677c3f54, 0x6af2ab0d, 0xaae6372e, 0x5ce0c158, 0x50ec5289, 0x4c093135, 0x7574d741,
+    0x35ecb61f, 0x6ea7e3dd, 0xa9f6a3b3, 0x1aef072b, 0x6bf90bae, 0xbe1e4ef1, 0xf7a17c84, 0x76c39956,
+    0x4d7baf06, 0xcca69328, 0x317082fb, 0x2c0c7c85, 0x307cb0a0, 0x730c7953, 0x5d19ff83, 0x05041fd6,
+    0xe5cbd9a9, 0x5bbb806a, 0x94a5d2d4, 0x2878b29d, 0x3082c2a0, 0xcb6b8cf3, 0x7e7e73cb, 0xf531c3c7,
+    0x37695cd4, 0xb3e08037, 0xaf8588f5, 0xf83aa0c8, 0x8c450971, 0xf74412d2, 0x7f94f0fc, 0xf17e6766,
+    0x41fcf36f, 0x884fbbbd, 0x73d4bc60, 0x5ef8af35, 0x4bccd774, 0xcd53a5f6, 0x3dc1dcbf, 0xe7ea9731,
+    0xa5fb0757, 0x9efd5130, 0xa0abb37e, 0x0598a994, 0xf4e8effb, 0xf9deb5e3, 0x88b54345, 0x82bb099d,
+    0x792a1e62, 0x9b9172c4, 0x48c29b03, 0xc3a21cd5, 0xdcb57209, 0x619190bb, 0xa72f5847, 0xcff5f631,
+    0xe8a7f81f, 0xc1273b5a, 0x088eeace, 0xe90d78f7, 0xe746f88e, 0x975f364e, 0x5028cdaa, 0x402e0626,
+    0xc1df25ef, 0x38b0e081, 0x4fe67249, 0x03e28516, 0xc1c365a3, 0x617701c9, 0x27dff607, 0xecd46599,
+    0xa3843177, 0xb0afd915, 0x27c81232, 0xff11460d, 0x3439b3f9, 0xf87a8aef, 0x5063dc2b, 0xcccfe016,
+    0x49b1d208, 0xe4aad0bd, 0x7fc61035, 0x86ff2c5f, 0x8268c9aa, 0x93860d42, 0x8f2e15f6, 0x860c8b4d,
+    0xda6ebfcd, 0xf5970c4a, 0x8076d067, 0x0504d90a, 0x39eaf3eb, 0x62ba5657, 0xebc66d8e, 0xd972d5bb,
+    0x5ec3cff4, 0xcbf133ef, 0x983edc40, 0x4046ecd5, 0x7e6088a1, 0xd59518c7, 0x09ed519e, 0x704543fb,
+    0x889daef9, 0x1c5a472b, 0x0c33e806, 0x203485d9, 0x23b36990, 0xb0d6ecca, 0xeb8e5947, 0x4c1d2c14,
+    0x0b7181ef, 0x7ccfe8d2, 0x1b65d229, 0x22f7c203, 0x19997ad8, 0xb1b3f827, 0x1c57d7dd, 0x8fb32313,
+    0x018f74ce, 0x719394ce, 0x76eb1f83, 0x6d3533ae, 0x4048dafe, 0xa3501ee7, 0x4fb310e1, 0xb14caab2,
+    0xc5d1313e, 0x83680790, 0x5cb24527, 0x09144122, 0xfe2b01d0, 0xb917832a, 0xd779696f, 0xce44574e,
+    0x1c7a08cf, 0x55669f0c, 0x0d330f33, 0xbb8b2e2c, 0x3a794155, 0x4fcdd5b0, 0x6bc43ab6, 0x5045d8df,
+    0xccc54b7b, 0x71632f65, 0x558d15d0, 0x54d51c55, 0x1ec3f8ab, 0xc13694f0, 0xfe5a266e, 0x9695ed94,
+    0x8ae51b3f, 0x8f502dda, 0x7164bc34, 0xed4b858e, 0x8de5e62a, 0x2b3a2a92, 0xfe2003db, 0xa5716ed9,
+    0x912b8da0, 0xbb872891, 0xef671b58, 0xf8e0a4b0, 0x90be5c4c, 0x9edc898c, 0x5634bf0a, 0x194e70f5,
+    0x24dd4fd2, 0xcbc0a04b, 0x121559a1, 0x696cf7eb, 0x7fef848f, 0x6876b1c8, 0xec192708, 0x3d3cbd48,
+    0x8681b606, 0xb6cc6d0d, 0x6612ee44, 0xf53bc238, 0x136b19e9, 0x403fb66a, 0x15eb2bd1, 0x0f68acbd,
+    0x1db3fd22, 0xfa81ba1c, 0x3a9fef49, 0x25fc17a0, 0xba175dd5, 0xfae70d52, 0xb2157149, 0x8d3b9bfd,
+    0xbe4f4112, 0x471bf903, 0x6e018ca7, 0x2779bd22, 0x8d629bb6, 0xdecf1719, 0xb85aa68c, 0x78dbb87d,
+    0xa4a37113, 0x1cbc6828, 0xe3c5db74, 0xe44111b7, 0xdebbfdb8, 0xb65f7b0e, 0x5beda2a3, 0x94127642,
+    0x90aa9a4d, 0x6a5e6d4d, 0x8087f5b7, 0x6635e02d, 0xd8be2171, 0x11ca58ff, 0x249e7e32, 0xa7efd67c,
+    0x4056f020, 0x6f454a6a, 0x91d9eac6, 0x5e947049, 0x7cdd4b77, 0x28ebd741, 0x2fb6ecbf, 0xa1f81a09,
+    0xd02d465e, 0xc2cb66f5, 0xe76b5dbd, 0x0f781ec2, 0x93576715, 0x42c07ee5, 0x7fbd377e, 0x5eede59e,
+    0xa18513e4, 0x3854ef9b, 0xa03ad75e, 0x54fe624b, 0x38013e31, 0x99b0209c, 0x0ba0781d, 0xee785405,
+    0x51ff22e0, 0x87ae245c, 0x08c2db13, 0xadd3cc12, 0xe4aa4261, 0x6001304e, 0x4d28a64a, 0x7bcd19ac,
+    0x5c3c568d, 0x9a5d5531, 0xf6b93dda, 0xab92be4c, 0x95cade39, 0x865c966d, 0x6a5b0793, 0xb333f766,
+    0xcd249747, 0xd1bd08ee, 0x9a9df41c, 0xd591dcd9, 0xce5d69dd, 0x8b9a25d9, 0xdd684e39, 0xb68be675,
+    0x72b91885, 0x45c7f0a5, 0xa2294d89, 0x00571695, 0x7acc1b3b, 0x1c7cc740, 0xc02796b4, 0x99d214e8,
+    0xd8a39feb, 0xf140d9f0, 0x114a11a3, 0xd22f2509, 0xdb5e3e6b, 0xc3373e7f, 0x3ccf253e, 0xdfe7e14b,
+    0x11f0bff2, 0x5d62fced, 0x36f005d3, 0x5a373689, 0x4023c8f7, 0xd57d7c26, 0x15d6519d, 0x85dd2b25,
+    0x1e2121ae, 0xedc7c7b5, 0x73b47633, 0x95014245, 0x7310eaa6, 0xb92ce426, 0x76ea19c3, 0xa15b754b,
+    0x8f6afb1b, 0x60c64e18, 0xd1b33c83, 0xebe0918f, 0xe8364c88, 0xb4c64994, 0xd00a23c7, 0xbdf974f2,
+    0xf44c8a0b, 0xe811c3c2, 0x855f5d89, 0x3e6fb374, 0xa953cfab, 0x8df1c42f, 0x3004bd08, 0x8a2c7ed4,
+    0xd97de83f, 0x25465cc5, 0xb943078b, 0x8126909a, 0x435d01e9, 0xc3868f91, 0x69f5071a, 0xc9f5372f,
+    0xca877612, 0x65cb7569, 0x1b1fc604, 0x0ae46810, 0x31ce8d57, 0x30e434a9, 0x632ae35c, 0xc3ae431e,
+    0x2faaefb1, 0xe1f27971, 0xd72a9089, 0x9ca61bad, 0x460f92e4, 0xd171acc5, 0xf0aa7993, 0x579bc71f,
+    0xc048e0ec, 0xb1fc3a6e, 0x74f5b583, 0xd36e3fc8, 0xed820b04, 0xd8c9b70d, 0x2e97963b, 0x2b237163,
+    0xec9b5475, 0x342492f1, 0x60e7ebe5, 0x7561151c, 0x3fb12ddb, 0x2bd88e12, 0x8892e7c1, 0x35224061,
+    0x484b45c9, 0xafad260e, 0xa41de6a9, 0xa84bf148, 0x5cebf664, 0x22de2b6d, 0x68ec6aa0, 0x7e5a506d,
+    0x694edda0, 0xd60df8de, 0x397781af, 0x4e7a19f4, 0x17ce40a2, 0xd1d89bea, 0x98999563, 0x82155626,
+    0x4af784ba, 0xbde2af74, 0x18b7e7a8, 0x143fd791, 0x0c858db2, 0x8de5da54, 0x467aca6f, 0xf0640d5a,
+    0x00000000,
+    0x724a9bfa, 0x4262958b, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000053919893334301279589334030174039261347274288845081144962207220498432 */
+  { 0x00000000,
+    0x74907834, 0x0269b6b8, 0xcd3215f1, 0xa9e43f7e, 0xd74c44de, 0xf8997e54, 0xf64ced3d, 0xe650d884,
+    0x63b037a9, 0x787a1469, 0x66cec62a, 0xdc6beab3, 0xa48df359, 0x91630044, 0xc560801e, 0xce0ac431,
+    0x4a0ee3bd, 0x73fa41aa, 0x998d66b8, 0xd816adfa, 0x5071a3d4, 0x7b6cf531, 0x215fb3c7, 0x9aa1e51d,
+    0x962ba822, 0x915abe94, 0x0fb0f65a, 0x2b480817, 0xbffb68c5, 0xc58b39ce, 0xfb342bab, 0x068e72cf,
+    0xe6a8feb3, 0x5324007b, 0x5c7029bd, 0x3f67bf53, 0xf5178e2a, 0x1caee8b5, 0x0a9fd1f9, 0x9b1ddd6f,
+    0xbaed6034, 0xf19b78b3, 0x3db4c918, 0x9c06a5be, 0xd4fc231e, 0xd9b2fbf0, 0x9e3e11ae, 0x7107653c,
+    0x5f7fe5a1, 0xa70b8f78, 0x417cbfcf, 0xf7ba1ae0, 0x62278d63, 0x36e4025e, 0x06349cf2, 0xc894c790,
+    0x6ea4e8c8, 0xb00c3306, 0x257f73ac, 0x344a75f5, 0x2f170aaf, 0xac04bc84, 0x06f1dee8, 0x73759323,
+    0x3f14ce02, 0xb97addda, 0x0327b049, 0x5c5c966b, 0xb50cb8d0, 0x5bf284c6, 0x8d151801, 0x5f42c568,
+    0x4d837a80, 0x714605ed, 0x284dae48, 0x3358cb46, 0xe09549a4, 0x17aea2d4, 0x70a0741d, 0xe8bf22fe,
+    0xa57ececc, 0x443a1add, 0x220bbb78, 0x01e4d417, 0xd14bf098, 0x274386f1, 0xd71c4bb1, 0x3a4e250c,
+    0x8c92db05, 0x360c4511, 0xba34b5dc, 0xb63b1564, 0x0f04595e, 0x7228216b, 0x5d1c54d8, 0xb8b26365,
+    0xbb266cd7, 0x595c0667, 0x7e8479e7, 0x30700fcc, 0x0221b243, 0xd624fcec, 0x570b8f50, 0x36b98382,
+    0x7d7a4a81, 0xdbd0f810, 0xdb065d52, 0x4bda49e0, 0xd052e3cb, 0x4b4d637e, 0x4bdb9793, 0x4ef751b8,
+    0x85f85d65, 0x520869e0, 0x6aea376b, 0x8661e82d, 0xdd7454dd, 0x89880f2d, 0x6b201274, 0x2af3f6c0,
+    0xdc5e6c2c, 0x52aa73d0, 0xba299bff, 0xe7a77d68, 0x191f0811, 0xe478012d, 0x09383669, 0xead759b3,
+    0xd4c34bf9, 0xf9afb5f7, 0xc8ba9930, 0x1763d201, 0xfeb93abb, 0x9adec09b, 0x0002819a, 0xcb68a09f,
+    0x7eeba7a8, 0x86c6573e, 0x58940a1c, 0xbdacdc07, 0xe6deb358, 0xd0011028, 0x0e5e30c4, 0x0a2c44eb,
+    0xc719ebff, 0x5decc9ec, 0xbd11e572, 0x7da42d50, 0xc4036822, 0xc233395f, 0x43961709, 0xe8b38aa7,
+    0x359e8ad1, 0x0c57979d, 0x3308ba8a, 0x95274c2a, 0x6cc07b72, 0xd6fe6a19, 0x64c3bbe8, 0xd54eca75,
+    0x9a1ada76, 0xe0a030f3, 0x98e50fbb, 0x18745a13, 0x43a5fedc, 0xe81d6507, 0x6f2cead7, 0x14a410c9,
+    0x263ff16d, 0x0aa75de8, 0x8e4b6412, 0xb67c209a, 0x67b59a79, 0xc9961eda, 0x1396c7f9, 0xf808057f,
+    0x45b30fb4, 0x5c2b8104, 0x0317a007, 0x063c951c, 0x5d14b576, 0x98b41acc, 0x8948cc96, 0xf6c51b76,
+    0x6a2922b0, 0xbe8b1852, 0xb4277840, 0xdb382ead, 0xe0d8a398, 0x9b8a7ee3, 0xb69fcc04, 0x52c60634,
+    0xd118b266, 0x2c725997, 0xd138de8a, 0x3f3c741a, 0x4f3b9fb8, 0x46998cfe, 0x6f2ca1f7, 0x2a773f9d,
+    0x2ee11f68, 0x87d7ed8b, 0x7fdd89c0, 0xee436fad, 0xc44d088f, 0x290a0c47, 0xdc8b0edd, 0x1a00b999,
+    0x1b463109, 0xf9df3e59, 0x242c3bce, 0x882474e9, 0x88f9e628, 0x0024995b, 0x7c47fc75, 0xa5a72f45,
+    0x681ec19a, 0x0e3ed149, 0x3407e06d, 0x793a5fd4, 0xa91607cf, 0x9a3e58cc, 0x191c56fa, 0x0a62f86a,
+    0xcdcb132e, 0x2d482671, 0x1b9621a1, 0x245afbd1, 0xede47959, 0x478dfa5b, 0x1f06ae4e, 0x84a76d3c,
+    0x0fc7596f, 0x10d3201f, 0xf99afe8d, 0x16e35d88, 0xa5485778, 0x299e250a, 0x4a6664d6, 0x73fdbcfd,
+    0x63ec46b9, 0x2bcbc822, 0x1106a2cf, 0xfc62d663, 0x3b0f2145, 0x774a09c0, 0xd3b424ca, 0x7b155e92,
+    0x9d992a68, 0x8c39548e, 0x88c44f27, 0xb092b441, 0xfb1d3981, 0xbf17c5d0, 0x23e994a1, 0x9c645e29,
+    0x353ede2a, 0x8426f550, 0xe1bf45c6, 0x282fb581, 0xd9537dd8, 0xbc77ee81, 0xbf233f25, 0x8e0c02dd,
+    0xf6747811, 0x21f6f690, 0xfa95d728, 0xd47dc484, 0x06636842, 0x961f2fe8, 0x3ab893e2, 0xd8c678a9,
+    0x7154c9f1, 0x3a593de1, 0x03ec8938, 0x104028bc, 0x11d97436, 0xe96e4991, 0x349e40e1, 0xa9d089f0,
+    0x42827665, 0x4ccf9888, 0x5538a42a, 0x5fdf4e98, 0x94070ab7, 0x64ff6361, 0x9c2b1449, 0x4053f1fc,
+    0x0372da15, 0xa008e151, 0x990c366b, 0x01cd5d7b, 0xb554c634, 0x3d60580e, 0x06955c2c, 0x4f63c186,
+    0x75bb1900, 0x8fe8921f, 0xbaf55c9c, 0xf9ac021f, 0x2debd303, 0x4670507f, 0x03a06f47, 0xabe0db13,
+    0x755c12f4, 0xd7d8acd0, 0x0103adcb, 0x2b0214f1, 0xffe4adf2, 0x1f284a2c, 0x43a7274b, 0xd912a451,
+    0xf9571f2c, 0x6e3b4710, 0xe185632a, 0x4b345572, 0xe3a78042, 0x06d16281, 0x2656cb60, 0xb3b900fc,
+    0xda0e37cc, 0xd2dd39fd, 0xeb1ad432, 0xca3c24ad, 0xbb619d47, 0xd91a6641, 0x79fb880b, 0x7e2c3872,
+    0x19956aaa, 0x49d25c79, 0x6b3fa9c3, 0x9729beac, 0xf7cf2e73, 0x9896e0ee, 0x229a390f, 0xaa0bb783,
+    0x3d0e53f5, 0x888e158a, 0xa6d4c42d, 0x5403e82a, 0x4c1f91b3, 0x51163cde, 0x4b21c7a9, 0xa51ac8fe,
+    0x561d7690, 0x2b9185e4, 0x590e2e94, 0x64fd4ae1, 0x53dc2fab, 0x1bd0a56f, 0x5c3355da, 0xfc98bda9,
+    0x015197fa, 0x831a44f0, 0x15f7c818, 0xbc3e6af7, 0x5366d966, 0x887d0638, 0xa107dee4, 0x9b6381c3,
+    0xba8eafaa, 0x7e91aca1, 0xb030baad, 0x60d3237c, 0x63659bfd, 0x6143b51b, 0x97cb95f0, 0x0da05624,
+    0x7bf3be74, 0xe34b36a7, 0xc67bfa8b, 0xa1f3833d, 0xcaf85324, 0x54fda194, 0x25a893ec, 0x47bd7369,
+    0x8f8d7179, 0xbe9b1df1, 0xab901bf4, 0xbc02c3c1, 0x66724693, 0x816114aa, 0xc421f945, 0xbd7adf99,
+    0x904ae738, 0x406d3dc7, 0x4686f7d9, 0x633e9cb2, 0x8b2d13fd, 0xbdfcebd9, 0xbcc0f6e9, 0x1a5fb780,
+    0x2b5a7a51, 0x858838ca, 0xc6937f04, 0xffdb5c4c, 0xbcdddb53, 0xb3cba4d8, 0x3190e738, 0x5d6c99d7,
+    0xc8201a3c, 0x737f6b6e, 0x6d1cf76c, 0x61e8a7fe, 0x912a9680, 0xc1122666, 0x8f5dda90, 0xf826b84a,
+    0x097c742f, 0x743ac245, 0x07757996, 0xca1eaa39, 0x05ea5923, 0x88a9097f, 0x3f61685f, 0x1f6504a2,
+    0x383e2b3f, 0x839cdc49, 0xbbadb958, 0xdd7b6b79, 0xa4c0426f, 0xf82771eb, 0xc6a7f950, 0xa6859276,
+    0x1c5f1594, 0xd58a14ac, 0xb6a1e04e, 0xcb91a6e8, 0x5dda0cc1, 0x96f688cb, 0x78301301, 0x5b04fb15,
+    0x1a98641d, 0xd1dad2d1, 0xcc9fb226, 0xc843dac0, 0xd7eee20f, 0x5d27a3d5, 0x34db2adc, 0x804a28e3,
+    0x5e2dba94, 0x0f1b6bb4, 0xf36d07e8, 0x6ade537b, 0x90d7831d, 0xed3a6fde, 0x5e5631c9, 0x79f82af2,
+    0xb8b94928, 0x6fb5f399, 0x0c277bc0, 0x319fc74c, 0x443c5d4d, 0xa9e80a7e, 0x7be9605b, 0x4146f5cd,
+    0x163f6035, 0x3803b245, 0xf2af0cf4, 0xb9e9a5d3, 0x88bc7a91, 0x44cb1143, 0x7fdaba91, 0xa37e8b3b,
+    0x70af6dd8, 0xf6decbe8, 0xf888c8b2, 0x1cccf8a4, 0xfe29dec7, 0x25769748, 0xecaf7622, 0xa6e72cc5,
+    0x775812b5, 0xd71f7e44, 0x45cbe0ee, 0x40eb00b9, 0xfad9e8fe, 0x377f134a, 0x2cda817d, 0xcba7bacd,
+    0xc1a8624d, 0x0fefa77d, 0x4f4ed3e9, 0x80088548, 0xb98481ae, 0xea0ece47, 0x7633e8cb, 0x6c107f2d,
+    0x2074380b, 0xa1eeb330, 0x06f4fe72, 0xfbbc653c, 0x492b90c3, 0xf9d10ca6, 0xbc670c0a, 0x1c42ecdf,
+    0x55b8635e, 0x71df4ca4, 0x1fe88311, 0xa893417f, 0x9897ed4b, 0x98ba3158, 0xc87f8af5, 0x85dd80aa,
+    0x875887ad, 0x17815c5e, 0x79237b3e, 0xd1caf7de, 0x287dccc6, 0x0074a080, 0xab07dee7, 0x0d8913f4,
+    0x270b95e1, 0xdf8bc9e7, 0x4a51122d, 0xb6f94885, 0xfb341ac2, 0x2f45efe9, 0xc7847ea9, 0xe01c0e4d,
+    0xf2d439e2, 0x5efcc455, 0x5a9ca460, 0x65f7d771, 0xbc40ae0f, 0x501f3e3b, 0x6e3e7dbe, 0x0791c5a5,
+    0xd41f2d75, 0x6bb75af1, 0x158f0769, 0xa8debc4a, 0x7968cd26, 0x089631bf, 0xf46485e4, 0xf6faf088,
+    0x16aa0915, 0x63dfbb5f, 0x137d5d05, 0xca3ca233, 0xf8ade945, 0x12fd8b90, 0x3374f17e, 0x6bbda5b5,
+    0xbf37085f, 0xdb702183, 0x685b347d, 0x39524762, 0x7833158b, 0x42262cf5, 0x755a898e, 0x89ad565b,
+    0x982806cb, 0x4528f707, 0x1513ad84, 0x08cbb730, 0xb89add99, 0xb9984b9b, 0xa074ff38, 0xb17c71bb,
+    0xe63bfcff, 0x45ae8c97, 0xace7a649, 0x372fb3c9, 0x187fb706, 0x3e19e453, 0x1799f294, 0xe418a981,
+    0xbbcdedae, 0x4699e5d1, 0x2b2037e9, 0x9973f70e, 0x1d4c0099, 0xcf72c339, 0x759ce40e, 0x059e5b34,
+    0xd08ebb65, 0xae466015, 0x02939095, 0xd76d1ca0, 0xda11549c, 0x2414b17b, 0xd5205357, 0x3b20a3c0,
+    0x99c4af59, 0x1206dc9e, 0x1a24be85, 0xbfab49b6, 0x573bec91, 0xb8265639, 0xe8d515c1, 0x2c79da18,
+    0x44db34d8, 0xb9649d47, 0x2b973e39, 0x71186667, 0xd255d083, 0xd440761a, 0x3431a007, 0xf0e3c285,
+    0xf1f27be2, 0xc5afcf15, 0xa5c6500f, 0x87e7295b, 0x73f8ee3c, 0x2179e827, 0x3ccfcaf5, 0x96a6d320,
+    0x5b56c74e, 0x6fbd2d83, 0xfb096ada, 0x330d68a2, 0xe55cfe05, 0xb8a1d235, 0x764a8371, 0xe96f5b30,
+    0x3c86900c, 0xdaa58440, 0xcab418af, 0xee5d5d43, 0x11ca149b, 0xc4e23aaf, 0xe894bb51, 0xb21e5eb5,
+    0xc194e008, 0x73d7139e, 0x18304be8, 0x6dc0d595, 0x50f3b4bd, 0x4b856eca, 0x001a0bd0, 0xbab1d2bc,
+    0x38650312, 0x334b8e15, 0xfaab3930, 0xd0657304, 0xbb4c18e6, 0x5ee362e0, 0xd117a6ff, 0xda5bc654,
+    0x9cee7003, 0x11fbc1c7, 0x3b829b08, 0x5a124f67, 0xb0abb117, 0xe27fe601, 0xa6ebbd92, 0x806c9cb3,
+    0xa36c5799, 0xd91a65e6, 0xea0eb423, 0x0d008d51, 0x47da2f79, 0xc93107c4, 0x8f4ba32d, 0x736a604f,
+    0xe8b3b2ea, 0xba15bed4, 0xd5798748, 0x1ea34a50, 0x4f8ba0ad, 0x65bc8d4c, 0x563b98c9, 0x8997137c,
+    0xa1a7f983, 0xe2d4586c, 0x77946d9f, 0x1d53f4c8, 0xc7311417, 0x886f8788, 0x42773bde, 0x23fb5b75,
+    0xff83d347, 0xed8f1e72, 0x0e12d0bf, 0xabd0e929, 0xb836c208, 0x16144951, 0x7f43145a, 0xd14d312d,
+    0x7b684bb9, 0x13085aff, 0x16b68bc2, 0x1f48cfe9, 0x8ebd70e9, 0x77fb8398, 0x9af2eec9, 0x393063d9,
+    0x68b29d1f, 0x97da4b38, 0x74365da2, 0x38c7365e, 0x62b97eae, 0xf7256d08, 0x249f43f0, 0xe3ebc84f,
+    0x9593d130, 0xdbc5b44c, 0xf7abdd92, 0x4fbe805d, 0x26d8257a, 0xad2a4ae1, 0x35db1984, 0x44da3d01,
+    0xf15cdc9b, 0xde72fcd3, 0x601cebdb, 0x755a9e5e, 0x22dc7f40, 0xe0e1b9cf, 0xa41e6a6b, 0xab870374,
+    0x7fa3922c, 0xc92d3a50, 0x2ce18445, 0x7b408e2e, 0x06ef8dee, 0x7eaf74a3, 0x8f45d35d, 0x0231340e,
+    0x73cbda73, 0xca970c12, 0xbc141439, 0x0fe09a63, 0x6a800fa3, 0x3c7d79d8, 0x4423d2c6, 0x63f2c773,
+    0x83ae1b60, 0x0aebe555, 0xdfe84e09, 0x5b9b4685, 0x0504fa72, 0xa2097dc7, 0xb9829372, 0x979058f2,
+    0x624535cb, 0x8d1e354d, 0x0ddc47bb, 0xf6d5db29, 0x95bba609, 0x1bcfee8a, 0x43384a2d, 0xc923ceb9,
+    0xbcd5e0d5, 0x8569cda5, 0x5075dbb0, 0xc9257a60, 0xf5ba4d3f, 0x64399ea9, 0xc90ef43b, 0x8bcc6573,
+    0xe1771aa9, 0x5dbc9a3c, 0xb29c5c38, 0x267f8360, 0x199075de, 0x4d7cb011, 0x14d85ba2, 0x82986a0e,
+    0x1a986f95, 0xc761bdca, 0x422246d3, 0xe91759a2, 0x4f0d8638, 0xeb67de48, 0x7a0aae10, 0x04416059,
+    0xd5d1e7ee, 0x8d43acec, 0x92c90ed9, 0x0a1dbefc, 0xc4fb8f47, 0x49cb0389, 0x5e6bcbaf, 0x08cf1f51,
+    0x94102227, 0x18d465ec, 0x85168e33, 0xe4cff596, 0xe7e4c0f0, 0xe91891bb, 0x9c584309, 0xe39c5fd9,
+    0xee7e4bed, 0xac2e3a67, 0xb9dd2bb1, 0xa7602112, 0xe41af0b3, 0x3329cef3, 0x29366efd, 0xb46a0c8d,
+    0x17b6748e, 0x6d588cf2, 0x61a64b4b, 0xf2cdf94a, 0x04d48cbc, 0x1a07c7b7, 0xa27a129f, 0x7aa5c9a1,
+    0x5aa8cc44, 0x4a35fa89, 0x52c220d4, 0x48a41a6b, 0x00c79123, 0xa4302a01, 0xa215d14a, 0x25782835,
+    0xfb12f4fb, 0xf719e899, 0xad7e74ef, 0x1dcb4a2d, 0x0031d0e5, 0x66284815, 0x78af492b, 0x46f60f35,
+    0x2077694b, 0x4c225871, 0x92bc0623, 0x33ce7f70, 0x9d3c6200, 0x765c91cc, 0x485bcf93, 0x779f51ed,
+    0x1a30cd0f, 0xa5c03a5e, 0xc9600040, 0xd3911933, 0x20275eeb, 0x753123fe, 0x83b760dc, 0xa5e9b101,
+    0x480ea7db, 0xc0820b8b, 0x13438276, 0x3e4e4f88, 0x7235c2c4, 0x04828533, 0x29e0e185, 0x0be0c0cc,
+    0xea93b92f, 0xe58949a4, 0x6840f01f, 0xe95f45ba, 0x31d5bf70, 0xe01e890f, 0xe808fad9, 0x9673ead5,
+    0x210411d8, 0x31dfc4b5, 0x82e8c38e, 0x935da796, 0x75dce57b, 0x2fc19478, 0xe6172323, 0xb1b0e3f2,
+    0x51a4cec3, 0x80ea0103, 0x09489b4a, 0xb7c5db09, 0x6b090f54, 0x273ebe61, 0xf1d560f0, 0x2347deac,
+    0x126e5487, 0x6444e9a4, 0xbd2914e2, 0x4ca0dbad, 0xa6b69fa2, 0x77e2a684, 0x2d16c0df, 0xa2aa31f1,
+    0xca0e69ca, 0xaaabf575, 0x4c11a0fa, 0x23f7ab14, 0x62ef935d, 0xf9b47090, 0x9d492365, 0x02de9fe0,
+    0xc5c1c545, 0x1a61e2aa, 0x6e62ec98, 0xd2a9a6cf, 0x338c8418, 0x1cf1d5ff, 0x538bf047, 0x49e7066f,
+    0x86e1b9e7, 0xc33330a4, 0x7b7465a5, 0x675f3991, 0x7fcb74c8, 0x70553dbf, 0xe30dde1c, 0x127833b7,
+    0xe0320d6c, 0xf0eaf6db, 0xec10a982, 0x3c5c7ac8, 0x81ddcc15, 0x85618d6f, 0x14d12a6c, 0x4d58dac3,
+    0x5142eb29, 0x811330f7, 0x8da00671, 0xca95915d, 0x7a3046ba, 0x8a5cd242, 0x1074c984, 0x7ab5f6ab,
+    0x922ebfea, 0x3a45abc9, 0x809606ac, 0xc0b2b73e, 0xe06fc4c1, 0x3f8a1187, 0x8a04ba8d, 0xf783d8c3,
+    0xd0d146eb, 0x13f432d1, 0x06509723, 0x7937c248, 0x0aa6f1c3, 0x92a15457, 0xc31d8f15, 0xbeab22a9,
+    0x8fa27684, 0xf49e507c, 0x47eec0da, 0x15f09495, 0x50dbc84a, 0x5df69249, 0x3c508c30, 0xdc64938b,
+    0x86c97855, 0xca10c10a, 0x451f82c3, 0x8d99cc93, 0x1c8815ec, 0x2356de41, 0x2d96fbd7, 0x4ac4d54d,
+    0x405bbdec, 0x7df60fb8, 0x2459497a, 0xd20c63d5, 0xaa606eae, 0xf1c7e39b, 0x3f879685, 0x32af7a94,
+    0x9f2f040c, 0xb532f552, 0x134b0429, 0xacdb5568, 0x7ad730f4, 0xf6fd2442, 0xf63da589, 0xdf88d6c9,
+    0xb02da325, 0x601e6bcc, 0x2a6d18ea, 0x3f3ea7c4, 0x26872337, 0xdf7826a2, 0xb3d24aae, 0x736037e3,
+    0xb3f0fa73, 0xd529cf2b, 0x7d44a8b1, 0x29dc54ea, 0x6c3da289, 0x399df58a, 0x0be5fbf3, 0x46f5822b,
+    0x82bdad1b, 0x3d2db7b7, 0x2450c0de, 0x7478b2c8, 0x75bd3992, 0xfe5d5f6d, 0x08e71e7b, 0x46ab3a48,
+    0xb825d714, 0x91ca0a8a, 0x8db66b2c, 0xf7ca05d4, 0xf0ffaec4, 0x43bee920, 0x30c4afb8, 0x04c73178,
+    0x4a179dcd, 0xf9c89e71, 0x0e601f64, 0xb71b994f, 0xb682e32d, 0x7e8c30ba, 0xdaaee2fa, 0xc6e7fe95,
+    0xaa00e5d8, 0x19b81432, 0xaa084c4a, 0x54583c59, 0xbe90055c, 0xde2f991c, 0xc78c30be, 0xf8129ad6,
+    0x00000000,
+    0xb9254dfc, 0x21314ac5, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000026959946667150639794667015087019630673637144422540572481103610249216 */
+  { 0x00000000,
+    0xce68d6f0, 0x4013f15a, 0x4746e453, 0xc0f37aa7, 0xcf096e5b, 0x66ffe523, 0x642d0c92, 0x999fc360,
+    0xaaf99309, 0x2497339d, 0xd999f0f6, 0x68f34a8c, 0xb90921c9, 0xdb058a98, 0xf897244b, 0x575ec9a1,
+    0x1fb505f1, 0x7d2b798c, 0x1f468770, 0x1aea45c1, 0xcb0923ca, 0xa37fb2d1, 0xe72dee0a, 0xfa40306d,
+    0x4c7e9e9c, 0x6e8aa6e3, 0x5b4667be, 0xac6cc663, 0x385aa7e8, 0x163792e3, 0xaa201d08, 0x7022d57b,
+    0x968d1723, 0x724600c6, 0xba55ddf7, 0xb353479d, 0x03733434, 0x3264c348, 0xd4f40701, 0xef54629d,
+    0x5ce64730, 0x4421bf9e, 0xddea263d, 0x579a5e1e, 0xbef3c438, 0x5c1ef889, 0x837ac83f, 0xc35fe54b,
+    0xc857e90e, 0x977857bb, 0x50207390, 0x82572555, 0x6852389a, 0x02c7ab5a, 0xa8b688da, 0x1d84e528,
+    0x78b3d41f, 0xb4a9ea47, 0xaa954c73, 0x30bf90ea, 0x0ee58081, 0x25710678, 0x50c2a497, 0xd75791a9,
+    0xe8297056, 0x4bb274d6, 0x19c575a5, 0x6b151532, 0x58093d63, 0x1e5a9cfc, 0x35afd617, 0xb46973cd,
+    0xc9097ca9, 0xd0d676bf, 0x2e93f13f, 0xaeca87cf, 0x380c304a, 0x14b3ab29, 0x8d905403, 0x08a28404,
+    0xe3be728b, 0x7fc94fab, 0xc8007126, 0xd5f15127, 0xbd6d30f1, 0x804204e4, 0xd5bf8687, 0x01134204,
+    0xe98c18c8, 0x3e45a307, 0xe8b82aed, 0x8f8f4ca0, 0x00804884, 0x36d31b3e, 0x853c921b, 0x0cf51f5c,
+    0x25114458, 0xeb188c7a, 0x86be8564, 0x8bf6334c, 0x49bb7bfb, 0x719a5ab8, 0xf5880a56, 0x2bfbf677,
+    0xf8080531, 0xd2fd2fbb, 0x51180cdd, 0x71dc8f83, 0x2833396f, 0x67c99dfd, 0x592ce261, 0x0c7c12ed,
+    0xc568f07d, 0xf09bb07a, 0x3a580c2f, 0xcc802c85, 0x759d9366, 0x8ed535a6, 0xa8ec19c1, 0x73f425c5,
+    0x4798e8be, 0xf06204e6, 0x05af7d24, 0xcbca1a82, 0xa0c7ef45, 0xaeac6c1e, 0xc5414ada, 0xd3366a72,
+    0x36e641e9, 0xf2f34a78, 0xa727e3b0, 0x0886757d, 0x70464631, 0x2b734730, 0xa0d27e35, 0x4cbcdbdc,
+    0x41dc8bf2, 0xc6e767c4, 0x7b94c15c, 0x804982c7, 0x970d7001, 0xa8379aab, 0xa89d7d2d, 0x58eed6b5,
+    0x2cbc5121, 0x26114ac0, 0x0442ce1d, 0x7c54479d, 0x1d7f39fe, 0xd5f4ae4a, 0x8916ba3e, 0x28479bcb,
+    0x8c5b254b, 0x9d72d096, 0x59b18c4e, 0x682cc9e9, 0x781f2f74, 0x2c7726b0, 0xb054f037, 0x64485ee7,
+    0x07761b17, 0xd41bfd1a, 0xa69b45db, 0xf457fb02, 0xcf67dba9, 0xdb159c8e, 0x294a890a, 0xcdc1ff27,
+    0x5ac79a6b, 0x359d2f76, 0xe31823e4, 0x453caec2, 0x7f4eb4f6, 0x9b981e67, 0x2b4c5ea4, 0x35589e04,
+    0x069da967, 0xb108490e, 0xc976edf0, 0xcfab514e, 0x7a344ecb, 0xb3436db2, 0x85dd1bd1, 0xf2113c95,
+    0x765f95b2, 0xf5bb2825, 0xdafe4afa, 0xb65ef32a, 0x97260975, 0xb1ebf4fa, 0x582ff3b3, 0x2806475e,
+    0x35a6466a, 0x060a89f6, 0x613b6a92, 0xd2b64cfc, 0x85a59c85, 0x7a8d5cfe, 0x1506bc72, 0xec17c666,
+    0xda77f567, 0x1cb13ad4, 0x570673b6, 0x6d6e6f90, 0x472e9c08, 0xe4ca1c7e, 0xad5845f7, 0x31f8c3ab,
+    0xb90d51af, 0x3717fb0d, 0x11c63a88, 0x4d198c51, 0x16d5da2b, 0xf9839631, 0x34d0de69, 0x39286b64,
+    0x295ef9fc, 0x3ee9d960, 0x82aad7d8, 0x18dc61ef, 0xecaed6c6, 0x93e7d5a3, 0xd5d04afb, 0x74b1ddfa,
+    0xcda846eb, 0x25452e08, 0x4134da1c, 0xe69c83ce, 0x99fe0472, 0x8f70f5fc, 0x3d3e2edd, 0x8c44813f,
+    0x5a2abe2e, 0x4365fa4e, 0x16a93a65, 0x6a923422, 0xe5279fd5, 0x0e2f4915, 0x0e8f78e4, 0x0d17b512,
+    0x72589399, 0x2c41803f, 0xbfa86fb8, 0xbab445fc, 0xb73eadc9, 0xa13d730e, 0x6eae77f8, 0x5a4e95d8,
+    0x2b1760c1, 0xd3fd2a47, 0xcf2263cd, 0xc065bc2d, 0x44752af6, 0xb71d7190, 0x44dc8f8d, 0x41cd5735,
+    0xa2726495, 0x7de34246, 0x641017e6, 0x62b66e95, 0x5eb383a2, 0x22161ae1, 0x70385ad5, 0x2cfd2596,
+    0x5ec3afd8, 0x577a830f, 0xf0b02240, 0x1cb822eb, 0x26c79da4, 0xf5e5ccef, 0x9616c854, 0xe12307a6,
+    0xddf2c057, 0x488fb918, 0xd1c3ee59, 0xf5b61b04, 0x4a1b7a7d, 0x5c655857, 0x2e84ad1b, 0x87bc9d42,
+    0xbbcf2af7, 0xc3a8aab8, 0x71155fb2, 0xd94f707d, 0xe1f837cf, 0xee4424a1, 0xbeca0284, 0xbb6c45ae,
+    0x4257d658, 0x8a761382, 0x6ca2a8de, 0xa30ff608, 0x484100bb, 0xdd8384dd, 0xd81a4115, 0xfb3eb939,
+    0x0b4bd0a6, 0x4d84c1ad, 0x5b33e66c, 0x50a674d2, 0x34c0cc16, 0x8f70dd38, 0x083c2510, 0xea5205c9,
+    0x06726aab, 0x637fc998, 0x7ea7391a, 0x12c7232e, 0xf49c038b, 0x3e0d4c30, 0xbfbf270b, 0xfdb1078a,
+    0x8d0c2eba, 0x6045f77d, 0x03077ebb, 0x3d1d9ef4, 0xd667e82a, 0x4b765b89, 0x99c386a8, 0x40fbe17c,
+    0x254572cd, 0x07da2aad, 0x8fafabd2, 0x8a127c15, 0x25b0c614, 0x8de0f7ac, 0x97517fe5, 0xa4e2ecc5,
+    0xc7e17cbb, 0x02e9582b, 0x8960f2f3, 0xda478932, 0x0c044fac, 0x8a6afae6, 0x4b7a4602, 0xa47cce1e,
+    0xd6608b7f, 0x6e370e04, 0x04f8c6cb, 0x07e0b62e, 0x2f8036ca, 0xcb288efc, 0xd1724e9b, 0x7aebce37,
+    0x6c652da8, 0x72f5cf39, 0xaafbd68c, 0x6f85ca4b, 0xb3b776e9, 0x43218cee, 0x9f60c235, 0xb37888a6,
+    0x7adeb6e8, 0xf6dad662, 0x1bcce40e, 0xc3664a0c, 0xb5fde44c, 0x05e5f080, 0x168b41ca, 0x394382b2,
+    0x9446f457, 0x1267c8b4, 0x05433b2a, 0xa671a098, 0x01363c8e, 0xae70b545, 0x321ad2aa, 0xff463c1a,
+    0x865e46ad, 0x4957687e, 0x8f75d484, 0x9622308c, 0x5fd3e7eb, 0xad074f21, 0xb3a3a722, 0xd23b9361,
+    0xab21c1c4, 0x3b46a310, 0x2e5815e1, 0xbd504fe2, 0x6266c1e8, 0x10f96143, 0xf13fe56f, 0x6b4028cf,
+    0xdc8cfe08, 0xfff8d3d8, 0x782eb943, 0x0db3b64b, 0x4e01968f, 0x267f2966, 0x1cd6cdd0, 0xa3ae7333,
+    0x98d908dc, 0xe6f100c3, 0x63dcbbb9, 0x0f05f80e, 0xd5ed9b90, 0x8b16a5d1, 0x701e1759, 0x2d3cb40c,
+    0xf1391596, 0x91daa907, 0x393137ff, 0x10927cbb, 0x6763a03e, 0xcb91eebb, 0x0568a0ef, 0xdc01d6db,
+    0x68b46143, 0xc827c0e5, 0x311f1913, 0x978350cc, 0x330e71a2, 0xc7c0553f, 0x45e57ad0, 0xb3770610,
+    0x76310653, 0x1ff6939d, 0x1ffa62a5, 0x97a3e4b0, 0x75ce5825, 0x3509ed72, 0x1e6f82d2, 0x5618d30a,
+    0x95c1e926, 0xe290e7da, 0xa8f869dd, 0xecb2b7b0, 0x9f6e93aa, 0x7adc12ca, 0x5e4ac6df, 0xc7594be8,
+    0x38c9f9fe, 0x34e5acd8, 0xd0d3a8aa, 0xa745e2d2, 0x8d59d086, 0x428f5381, 0xab4e1950, 0xad16cfca,
+    0x3f305674, 0x20b3a7bc, 0xafb9c1a2, 0xb4c95df5, 0x191595e0, 0x993762f8, 0x948da44e, 0x4a7ca7b4,
+    0x9ab3cacc, 0x1391015f, 0x5fa4f242, 0x54c30af5, 0x9b31fa56, 0x077f3127, 0xc914c49f, 0x5a944a5c,
+    0x57e9b895, 0xef48bc8e, 0xbb22a7d0, 0x24c43826, 0x2d78d40d, 0xf7ac81bc, 0x7a5ebf28, 0xc6565602,
+    0xe654e797, 0x4bb607ac, 0xaed8cb21, 0xfa04b0de, 0x3f08a047, 0xa187799f, 0xcd9f0091, 0xf480aadd,
+    0x8978417f, 0x3bfe39d5, 0x895d1c0e, 0x6d3c0878, 0x39839aed, 0x83bec08f, 0x241d8edb, 0xab92b8bc,
+    0x2f467302, 0x86cad6a8, 0xe5784e0a, 0x0ae96f01, 0x6685c6df, 0x55a59db4, 0xc43bfa4e, 0x8c72eade,
+    0x213eb081, 0x4a8d371a, 0x5413b726, 0xfb4a9a05, 0x74eed88d, 0xc8044d0b, 0x29504e2d, 0x66518cf2,
+    0x0a4a8e95, 0x563af58f, 0x32698fa2, 0xf106288c, 0x45981c44, 0xaf6f99e8, 0x16960486, 0xad5eb4a4,
+    0xff184779, 0xa7aefee5, 0x8592de2d, 0x3f39c230, 0xc80994b2, 0x3b80b7ff, 0x5a888586, 0x70fa6be9,
+    0x2d2d14f7, 0xb6f20839, 0xe0edd26a, 0x1280b836, 0xc6caa909, 0x5e193219, 0xe5b7faba, 0xd294948f,
+    0x0dece67c, 0xa0e1c337, 0x0306b646, 0x6cad8a92, 0x8055d5de, 0x490e9361, 0xc145d44c, 0x1ff4c9c6,
+    0x058c40a4, 0x19aa485e, 0xbb473cb2, 0xbebf4b76, 0xd8e054dc, 0x185fef76, 0x5608b0dc, 0x0be405ed,
+    0x42268003, 0xc71dcc4d, 0x78f2b10a, 0xb5f94ffd, 0xb1e71d66, 0x858020b1, 0x548564e9, 0x74a01873,
+    0x46aa7f75, 0xbef2d446, 0x209f83af, 0x7a93b3bf, 0x13fe58f0, 0x71a762b5, 0xea0abd51, 0x4bd4664f,
+    0xa7d071a4, 0x2142685a, 0xe9dfddc8, 0x5aa46128, 0xf625b185, 0x6b81eaa1, 0xeaa8c80a, 0x57125868,
+    0xf7b86899, 0xc7faa5af, 0x5ac0e8bb, 0x0682c553, 0x021c9b81, 0x91476c3e, 0xb4058f59, 0xbf0fd669,
+    0x7885966a, 0x1dd3293f, 0xbd4b9ce9, 0x79cebf0f, 0x04ee865c, 0x1f15608a, 0x882e312b, 0x68b0d0d7,
+    0xc818d418, 0xf9e6e024, 0x87cfaeb2, 0xecaabd14, 0x9f39614e, 0xe7b06ec4, 0x42f8c098, 0x3d630fee,
+    0x2867ae40, 0xeffdb344, 0xe952fbfc, 0xb05df118, 0xd3ec6167, 0xd26c93ce, 0x88a5213b, 0xe627ae23,
+    0x2634a3d4, 0x7c502440, 0xa21847d5, 0x91628c6a, 0xb6508445, 0x3e2c51a4, 0x739165df, 0x1206dc29,
+    0x2417d46a, 0xc778195d, 0x8ac28e34, 0x1c2920dd, 0xfc19f501, 0x1ce36890, 0xfd9f297f, 0x64d763e8,
+    0x08af6809, 0x8f476248, 0xced76997, 0xaf959a6d, 0x780dc8ab, 0xcbf912d5, 0xf244f79f, 0xe73c57bd,
+    0x4e221566, 0x3b0833ac, 0xb8d2289f, 0xa446d4dd, 0x5259ad6e, 0xb0b10652, 0x58da7364, 0x31c9ecf8,
+    0xe0f9f376, 0x57f43ed1, 0x86e1b0e4, 0xeb40183d, 0x4c4ebde3, 0xa6119c78, 0xec962a84, 0xae4b6e6c,
+    0x33ce8972, 0xbc285031, 0x38791e7d, 0x9fe8be1c, 0x214be948, 0x44a01611, 0x1421be77, 0x08412f8d,
+    0x88bdf9bd, 0x9f86e4b8, 0xa104b4d7, 0xb26e7e6e, 0x73960453, 0x7081cc3a, 0xf4068b75, 0xb7a30376,
+    0xd795a12e, 0x6b2bd329, 0x85e04cb4, 0xc2f0dd79, 0xa194bc4e, 0x62644101, 0x4d608338, 0xd7760f50,
+    0x0188ac30, 0x10acf55a, 0xca792af4, 0x88293e98, 0x1653cc8c, 0x2d5b52e1, 0x954fec24, 0x2ea1a0cf,
+    0x80c3a64a, 0x3c4e9078, 0xa4e2d4b2, 0x70e97666, 0x84264c28, 0x2ab8f2bd, 0x7b770bab, 0xe6db1b7d,
+    0x28a15b9f, 0x72ab2b6f, 0x4185ad8a, 0xe9768857, 0x1beabb31, 0xc7dca0b6, 0x4eebc0c0, 0x5ea8cd92,
+    0x9bd3fd1c, 0xe0397ff2, 0x5870668b, 0x2a5d147c, 0xae8a9ccc, 0x5299857d, 0x6fe0b5f9, 0x73c8c521,
+    0x11609fda, 0x62098b79, 0xab5208cd, 0x76ccdc32, 0xaa7bd397, 0xf56b42f8, 0x2123b596, 0x77d53d66,
+    0x0bc80e88, 0x358ca42b, 0xf7e096d5, 0x210af077, 0x319070da, 0x217baada, 0xcfa4dcb7, 0x51b8e50f,
+    0x9ae5f739, 0xa23ee929, 0x75c55f60, 0x378566e8, 0x783f0e8d, 0xaaeeb0a1, 0x318c4d4b, 0x7eecf3d5,
+    0xfc3a53d3, 0xaac79ec8, 0x2f87e35d, 0xb0142a49, 0x00f32b5b, 0x0f868f68, 0x4143c29b, 0xbfa05a06,
+    0x5353818f, 0x3e97b6c3, 0x7aa09e96, 0xcfe6856b, 0xd6f67c82, 0x424bfa71, 0x9177796d, 0x61b6965d,
+    0x1101e5c5, 0x26359e98, 0xc31f6de0, 0x4af9f629, 0x577f37ca, 0xf880add1, 0x7dd048d4, 0xef9c7964,
+    0xe1ee6881, 0xc7f21190, 0xf7e5f938, 0x3569bc83, 0x276d7467, 0xcd1cb3f7, 0x34ae3b49, 0x79760bad,
+    0xa66fbf98, 0xb74ed387, 0xccb5fe3c, 0x3b330cec, 0x11dbde54, 0x82b8393d, 0x9294eeda, 0x2304a64c,
+    0x5721c143, 0x5ed95f7c, 0x4ca24963, 0x32f917b1, 0x349bf1ce, 0xfc5c7fe0, 0x1dded779, 0xd236d2ab,
+    0x87dd0957, 0xdb016056, 0xe18799b0, 0x0aa581d9, 0x8ee30e0a, 0x187027f1, 0x6a5ee1ee, 0xd71fd043,
+    0xa89ce12f, 0x8f0069ad, 0xdee806a5, 0xa823618c, 0x46d8796b, 0xb8595e64, 0x2d98e980, 0x5cdab8f9,
+    0x8bc81a56, 0xa6a30cbf, 0xa424e5e7, 0x9ad923d5, 0x91042d4b, 0xa5bbe6f6, 0x07a83a9d, 0x92efda3d,
+    0x09b13f93, 0xbfb69131, 0xf3d8d7bc, 0x8e5f13ea, 0xb133b11f, 0xd2240a1e, 0xab8dd362, 0xa2e78596,
+    0xa0bd1628, 0xc9750416, 0xb2175f69, 0xa00bed3e, 0x71fb4343, 0xd58cb712, 0x17cce529, 0xd9205ef0,
+    0xe274e9a3, 0x38b9be19, 0x6a5837ad, 0x2f1acabc, 0x6827647b, 0x08886f41, 0xfe9241a8, 0x221b6ccb,
+    0xa8f3fea2, 0x902d3c82, 0x1b2cf8c2, 0x0c1bd5c0, 0x405de6e2, 0x2ab4ca90, 0x6b3cb348, 0x4b1544b8,
+    0xa2611299, 0xaf65f916, 0x7073664d, 0x238fe919, 0xb816193f, 0xc738db3d, 0xef0e9ac9, 0x0b553862,
+    0x174ae63d, 0xcef5d82f, 0x49710fe1, 0x0631d16d, 0xbdc33b8f, 0xca3cb00b, 0xe643384a, 0x30c0001e,
+    0x78c8fa4e, 0x2adb6100, 0x1201b987, 0x75009a27, 0x68f09af8, 0xd94ca2b5, 0x57984048, 0x91445261,
+    0x24eb6ef9, 0x99d4525d, 0x42827546, 0xea44d06c, 0x334fa4eb, 0x32489baa, 0x28bc2d4c, 0x9e86801b,
+    0x39c45312, 0x01c860a4, 0xfb030066, 0x821df6b1, 0x04ea4fa1, 0xfc859946, 0xd4d1cec6, 0xb032fbd5,
+    0xfebb6466, 0x1f2a10f5, 0xbdb4756b, 0x50e5d91a, 0x6d2c5af7, 0x2a76b17d, 0x322aae00, 0x993b78e8,
+    0xf24fed82, 0x506eb681, 0x0e56de3a, 0x8d693ed9, 0x7e574b5d, 0x4a381cce, 0xbfacb896, 0xd4a49338,
+    0xf750f787, 0x9544065a, 0x2a4d83bb, 0x6a365059, 0xae97e278, 0xc5a61117, 0x2ed84ecd, 0xed8610eb,
+    0x5f69c7a6, 0xd543718f, 0x45a264d5, 0xd7578988, 0xc6784240, 0x00deeb16, 0xd09c9533, 0xf9c525f8,
+    0x4147016d, 0x662ddaa9, 0xcf88f13e, 0x3dc6c7b0, 0xc8997fac, 0x1f7a93d9, 0xd91bc232, 0xfbd652ab,
+    0x975b5eb4, 0xf6640d76, 0xc3a5ba4a, 0xa834bef2, 0x217eab0c, 0x1b3a2707, 0x483c3588, 0xff375d72,
+    0x06614697, 0xf089a68d, 0xdbfa9b26, 0x739fb287, 0x9815d501, 0x44bcf549, 0x71f0871a, 0xcb1aaee1,
+    0x8d1b754d, 0xc9ea74e9, 0x8efecaf0, 0xc7a18ca5, 0xbdb8ece8, 0x24cd5e0b, 0x9ff01b2d, 0xf5da006f,
+    0x61690b91, 0x7d4481ea, 0xb6deae24, 0xc8e62eac, 0x3e23f59c, 0xc7f01241, 0x2ad28584, 0x2de94f40,
+    0x2ffb4e03, 0xd9379e61, 0x93aad790, 0x2800f4a7, 0x5e3ca021, 0x444c6c36, 0x271375af, 0x9d4f61e3,
+    0xad689513, 0xda23712f, 0x15ab1d9c, 0x0f8730cd, 0xca907e8e, 0x8eafe770, 0x38f2355b, 0x978c7224,
+    0x456f577c, 0x93f59523, 0xfb36ad0a, 0xc646f076, 0x6e77e0ef, 0x1d2dbcf4, 0x441d1cc3, 0x23ef482e,
+    0xbf1fafbc, 0x9175af48, 0xe8891d65, 0x60c5beff, 0x8671d428, 0x7f9bb6d7, 0x7f216d59, 0x3f4039cf,
+    0xff16a0ac, 0x75b9d388, 0xea4eb8cf, 0xd79f5042, 0xbeecb261, 0x29cd9696, 0xe7a0d25b, 0x0ba95257,
+    0x27718ff9, 0x5fe9185d, 0x89d37adf, 0x9b30748c, 0x4aaf12ca, 0x62981b00, 0x5664ff37, 0xf97313d4,
+    0x49d2f9c5, 0x61ad40ae, 0x0673fd19, 0xd0af495e, 0x724c2af5, 0x77c63c3b, 0xefd1d299, 0xbf3b4e0d,
+    0x7f9ac27b, 0xfe270f2a, 0x51d8f45b, 0xabddb230, 0x45ae2f06, 0x51e0d0c2, 0x5ded49f0, 0x71d00b2e,
+    0x073c5fbc, 0x99cf45ef, 0x7c2c6785, 0x18e99591, 0x3710abc6, 0x7df4603b, 0x431ebc2f, 0x24c84b8a,
+    0x2a9fa85c, 0x66daab23, 0x0a77f785, 0x2e5b9236, 0x87c789ed, 0xe3af2b3e, 0x5918cbaf, 0xfc0152b5,
+    0x00000000,
+    0xdc92a6fd, 0x9098a562, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000013479973333575319897333507543509815336818572211270286240551805124608 */
+  { 0x00000000,
+    0xc1de48ad, 0xa7095e64, 0x235c6501, 0x28dc77db, 0xf70a8aa2, 0xcdf5184f, 0x3e349db1, 0x5ae185c9,
+    0x9a051aaa, 0x680e473e, 0x8bee485c, 0xc1704ede, 0xf2e1cffe, 0x4ff9537b, 0x7a45bbd3, 0xf16edaa8,
+    0xaae89e36, 0x709f5515, 0x7e7fc66b, 0x975c5e8b, 0x8b8cf4fa, 0xc28689a8, 0xee4129be, 0xf83da07f,
+    0xacaa9e9c, 0xd1167eba, 0xff4d6bc7, 0xee5b51ba, 0x5c6116ef, 0xb4ff19ff, 0x9d9cf206, 0xdd305711,
+    0x962c6a20, 0xf7dea773, 0xb1f386c4, 0xe7a3dd13, 0xe1815290, 0x9c84eab9, 0x5385fd35, 0x7a6c0ead,
+    0x0b65a589, 0xd20d219a, 0x9d0c101b, 0x5132b6d2, 0x2b049e1f, 0x0893f66a, 0x30de2287, 0x1237f161,
+    0x217e0812, 0x9bfda0db, 0x343bae71, 0xe3b02eae, 0x847cf466, 0x602f0247, 0x8a72e221, 0xdca31e28,
+    0x0caed0c2, 0x720c0798, 0x312589cc, 0x1344f79b, 0xf979d3b0, 0x1f456813, 0x387112a2, 0x473fb201,
+    0x4a89d442, 0x27b5a267, 0x0c254c8c, 0x7ae5d0c4, 0x4b40da9c, 0x3e1dcb76, 0x0bd3e2cd, 0x7d6c3d0a,
+    0x6f594b67, 0x149ddee2, 0x018bd950, 0x920953a7, 0x08b7f7b1, 0x3f43cc41, 0xbd6a95cb, 0xbf0ff306,
+    0x5bc4a139, 0xc7e1b8d0, 0x45b4b346, 0xe587a228, 0x4c8463ae, 0xf32d1c7c, 0x9ffd4ef4, 0xb6b550f7,
+    0xa0b73816, 0x46ba2f30, 0x4a58b3e5, 0x0d352e85, 0xe8af2657, 0x9a2bf74b, 0x6870087d, 0xcd2637d5,
+    0xc095588e, 0x727094a4, 0x78d7c269, 0x5cb91239, 0xc60d2c64, 0xac95e63a, 0x2ad13dd9, 0xefba3086,
+    0xc00e9b38, 0x59662ab3, 0x6acf820f, 0xef92e9dc, 0x2a662f01, 0x07fcbf75, 0x9d68f031, 0xf6132b43,
+    0x01a1454a, 0x99e23177, 0xf8ab09c2, 0xd36f81f3, 0x3eac9cde, 0x74c1962e, 0xa92df75f, 0x9476cced,
+    0x7b87a503, 0xd101d759, 0x964044fe, 0x51454b03, 0x53a74f15, 0x660a331f, 0xd4d1a56e, 0xb259f9b8,
+    0xa585e581, 0x1bb4a478, 0x3c169cb3, 0x460fdad6, 0xaf865c4a, 0x58d48550, 0x9e5954ec, 0x2dc607b9,
+    0x96b7edd3, 0x33788efd, 0x97d9b703, 0xd8cad7dc, 0xd7c9f3f6, 0xc0f9c271, 0x91b76740, 0xb477fab7,
+    0xcb4bfe07, 0x33efc67a, 0xe2526f2f, 0xcda788ec, 0xe9da1147, 0xbcfac193, 0x3ed82b8a, 0x5956162c,
+    0x23518658, 0xa9af6b99, 0x2f003b00, 0xcfeaf281, 0x7f801c77, 0xf5ce6a5b, 0xf8e07ef2, 0x33e57be8,
+    0x26b13de5, 0x2c5d44a9, 0x177e027e, 0xdaceda2f, 0xf02dfba4, 0xbf45f52f, 0xa76f2848, 0x02d1dd6f,
+    0xbeb2b890, 0xd036e1b8, 0xfee7c5c2, 0x5b3c7ec2, 0x290969c7, 0x2cf3e9fc, 0xdca678d1, 0xadd995b2,
+    0x57be489c, 0x35efeec6, 0x6bd8e5d1, 0x1ee4f68b, 0x4d8baf71, 0xcc3aec28, 0x79712072, 0xa0e01211,
+    0x926a5f10, 0xdcfeab9f, 0xbaeaf038, 0x7e5ead64, 0x193727b0, 0x0f678c24, 0xdc684112, 0x5843e8b4,
+    0x2b7cdd6f, 0xc8e5d869, 0x2417ef51, 0xab108803, 0xea1623d2, 0x39610a30, 0x40552ca6, 0x9dc5f22f,
+    0xf2aaea6f, 0x363e662b, 0xc5754369, 0x23e5f0d8, 0x9d9a5631, 0x349c561c, 0x2551f58c, 0x7667f89a,
+    0x53058e47, 0x23c6a628, 0xff97c190, 0x0e1afb82, 0xa0828d55, 0x82923c69, 0x267e40cf, 0x1e61d1e4,
+    0xa4a30e0c, 0xd11f4545, 0xa1a8d414, 0x9ad23756, 0x288f4215, 0x9152f693, 0x0922af12, 0xc874acde,
+    0x3468f507, 0x3580c68d, 0x0b410706, 0xd5968c6d, 0x125a7bba, 0xbc74428e, 0x8a442469, 0x46797cdf,
+    0x23582467, 0x979d6802, 0xb307c9af, 0x37d968a6, 0x70f9d3ff, 0x2a1ae736, 0xfcb6d19c, 0x69d3be21,
+    0xa255381e, 0x0efabd75, 0xff0e9c29, 0x20620578, 0xc7025fee, 0x06736b88, 0x8869ed10, 0xe303c178,
+    0xbaffbaed, 0x7dbabd0f, 0x8898d63f, 0xe09e9c31, 0x71e0bd46, 0x0925e9c4, 0x5b748ab5, 0x22b9c023,
+    0x5f6a214b, 0xaa250730, 0x85bbfa64, 0xfd80bb58, 0x555bfc39, 0x21b0d836, 0xf976e2f7, 0xe56d9747,
+    0x02b189e2, 0xc3e15c87, 0x1cddc2e8, 0x96d1c413, 0x4faab00c, 0xa27e35a3, 0x2b67a9a6, 0x2b99146f,
+    0x4dd0cd47, 0x2ffd4405, 0x23d2dc3b, 0xbc4794ba, 0x9c8ee126, 0x8d06e838, 0x01edb4e8, 0xd566111f,
+    0xc6a5f37b, 0xd74455b0, 0x6cb22dfb, 0x1be8e5cd, 0x92581aa5, 0x399c223f, 0xb6fa6803, 0x57d996f7,
+    0x67172b06, 0x95879af3, 0x41ff1a8d, 0xd3c06b7f, 0xb27a918b, 0x68c8349d, 0x6b8086ec, 0x322a69a0,
+    0xa3352645, 0xa2acdc3c, 0xed91fb64, 0xd5d2a480, 0x76eaccdb, 0xcb5dd71f, 0x27114118, 0xd2f899f3,
+    0x0c0f2468, 0xed5c44fa, 0xd0f2752a, 0xcd271dec, 0x25da428d, 0x2b1a3812, 0xbe94cece, 0x852a6b5d,
+    0x36ea7001, 0xcb417f6e, 0xf20c28af, 0xb722a0d6, 0xa4949366, 0xd3bb587c, 0x8c43e871, 0x2ba23025,
+    0x9cb2ed7d, 0xb6425149, 0x6135bfcf, 0xcf345442, 0x7481bc57, 0x62aae9c2, 0x971c1d20, 0x2681c539,
+    0x347b8a72, 0x3f6d0f8e, 0xaf4385d4, 0x28bcc1a3, 0x761f14da, 0xc004cd07, 0x39f789f5, 0x5159ff47,
+    0xd867b19d, 0xba07e406, 0x963c4129, 0x3c0585d6, 0x625e1df7, 0x35b1a3ad, 0x78f3f7d8, 0x35118345,
+    0x2c437777, 0x12d54195, 0x0f20cf9f, 0x02580d04, 0x88ca7ec3, 0x247f7837, 0x6fce2a0d, 0x269bfacb,
+    0x57f3ca77, 0x83892728, 0xf9ff0325, 0x8b08d015, 0x2d4bd2c0, 0x26a7663b, 0x46514516, 0x36cd6782,
+    0xcd146a0d, 0xe1b4d6e9, 0x01b501bb, 0x7b68f142, 0xce54e148, 0xc83416d5, 0x2249b64a, 0x2cc3b02d,
+    0x743eca02, 0x4ca1c551, 0x5d01431f, 0x66bd2b7c, 0x43156b2f, 0xc3a4c872, 0xf9f67813, 0x9a404d34,
+    0x4160bc37, 0xabf1466e, 0x46155791, 0x09cf23ce, 0xa5283c19, 0x80946964, 0x0832c805, 0x62782a87,
+    0x312c513e, 0xf8efdbb0, 0x6c0bd48f, 0x8c9cdf67, 0x8b5ca674, 0x244fb378, 0x8448f576, 0x3d4004b3,
+    0x00f0fd30, 0x25ca6d37, 0x99f305f8, 0xeb670d67, 0xe2b81be0, 0xb4e50428, 0xac2ad8e5, 0xcc61bd0f,
+    0x6ca11372, 0xfb8bdfb2, 0xab5c58dd, 0x30647bba, 0x5660946b, 0x07d92a4a, 0x1d5cdfdc, 0x1e0d8bad,
+    0x043de6e3, 0xd13d53d6, 0x72716f8f, 0x9b880f86, 0x0a33c7d4, 0x8b996bb1, 0xd082bee9, 0x9b3a3128,
+    0x4e3c9d79, 0x9750fe87, 0xee452a4d, 0xd3027c0d, 0x1bc23a11, 0x79061ecc, 0x155cb87b, 0x59e2c05a,
+    0xabf27b08, 0xfad841f7, 0xea3f7843, 0x9832d94a, 0x0e0600a5, 0x0710a415, 0xc4707bbb, 0x251ad866,
+    0x89070b34, 0x61903aa3, 0xe8c3f167, 0x0bf4d18b, 0x4e6404d4, 0xfb253c2e, 0xa26c0aaa, 0x5f8c7564,
+    0xda7390e5, 0x8d8f2851, 0x9b1c6e7a, 0x5528f3e3, 0x38799ad8, 0x7a7ed413, 0xfd945bd1, 0x9dc84ba5,
+    0x365b38d7, 0x2b6bf350, 0x24860fa5, 0x6e8cd6e3, 0xccc72e4e, 0x3f4d864b, 0x7d9312ea, 0x4ddbec97,
+    0xc177346f, 0x3eba3ff4, 0x01e93878, 0x8da265a4, 0x79a831b8, 0xda00062f, 0x29c51e80, 0x5b6d432c,
+    0x2c6c8b53, 0x943ffe08, 0x2ef969c0, 0x8bddb7b6, 0x4ae07e44, 0x4f3d75f9, 0x73d2c3b2, 0x5e7eadbb,
+    0xd44c3def, 0xbe5ec471, 0x6d8529d1, 0x0a03221c, 0xdad3f09f, 0xd876f86d, 0x4c3b6daa, 0xbe642b59,
+    0x44d8cc74, 0x753b2e27, 0x182e12e4, 0x8c2ba859, 0xa505668c, 0x0f329587, 0xbaaff2d6, 0x73daccfc,
+    0xc78a39f7, 0x1cd3fdf0, 0x1210a76d, 0xec25c972, 0xb779ea4a, 0xe12becae, 0x7ec606f7, 0x2c00ae51,
+    0x5620ff90, 0xa1f7f52a, 0x8c2b442f, 0xc46d72b8, 0xfef6d128, 0xeb9fe8ac, 0xed6a68bc, 0x795b566e,
+    0x572edba7, 0xc65f0426, 0x3e070364, 0xa9573149, 0xbe80ecf9, 0xf38da402, 0xae7c6e40, 0xeccba0a2,
+    0x901daf46, 0xa87e37be, 0xca5a7d5b, 0xb3a20dc8, 0x9bd4b95d, 0xa7155bbd, 0xf8503506, 0x5ca0b3c2,
+    0xe03a4fb1, 0xd1271a16, 0xa863360c, 0x7e4d9cb0, 0x451a4722, 0xe7c755d2, 0x5c2cef63, 0x606e3df8,
+    0xf164ed77, 0xab5ecb67, 0x373b64d3, 0xf71c7327, 0xd5861774, 0xb12dbb53, 0xadb5e29e, 0xae29f04a,
+    0xceb7b8be, 0x99890659, 0xb5f641ab, 0xa125c105, 0xf28353a0, 0xe5acdf28, 0xdda5fce1, 0x29d1a0e1,
+    0x773cea75, 0xad9c31f8, 0x5fbb49b4, 0x24dd3894, 0xcfec84de, 0x605ffd20, 0x9751546a, 0x9a393b5f,
+    0xf7f6bd68, 0x79c8b731, 0xb1de1eee, 0x1f55825f, 0x1e6572e3, 0xd735e4b7, 0x45dd3fad, 0x4f234a26,
+    0xa6b2950c, 0x24daca54, 0x7461899d, 0x926a3f9f, 0x13cb344a, 0x22e8609a, 0x1c3ef619, 0x4e9b63c0,
+    0xe06c4653, 0x68a05e98, 0x2aee39f5, 0x59081365, 0xf6d8db6c, 0x04d1e6eb, 0x61fa66d2, 0x74ee37b0,
+    0x3b636035, 0xe62754ab, 0x80c170c6, 0x32781359, 0x5cd05b5a, 0x997ec8be, 0xa1117f2e, 0x322c25c8,
+    0xe6bbfbd7, 0xad4bd53e, 0x34075e54, 0xfb898041, 0xa7d19a18, 0xdef85fe8, 0x6e7ae842, 0x62d135d4,
+    0xdf97f695, 0x97b907ce, 0x4d58f579, 0x34311bfa, 0x9e4bfde9, 0x2e4203c4, 0x75696f79, 0x83d6cd15,
+    0x9238b45f, 0x21ef0434, 0xdf161889, 0xc16cbd1e, 0x89b2228b, 0xadcd4598, 0x9c017050, 0x991d88d3,
+    0x9ebc10c1, 0x0549f649, 0xdbddab14, 0x2a5087bf, 0x941b0667, 0x3609d932, 0x1c111080, 0x53293b86,
+    0x69619c8b, 0x9a55eed1, 0xfd34e205, 0x6e5c966b, 0x09d36e8a, 0x48b151a2, 0x8c0bde40, 0x6d698c29,
+    0x6a0e8a9f, 0xa1533a14, 0x228f04d0, 0xbbba8e36, 0x014505cb, 0xddf350ec, 0xfa766bdc, 0xc547b112,
+    0x4f1590de, 0xf5f73090, 0xb0acbc9f, 0xb809c930, 0xaef6b5d7, 0x2bc8ef3a, 0xce72b5fd, 0x7f5d3759,
+    0xaa3dab3b, 0xc6e98960, 0x08f195dc, 0xbfa28f59, 0xf74bdbdb, 0xe8bd8268, 0x043b9738, 0x61a98be4,
+    0x9d0725e7, 0xfd6e3f3c, 0x2174d7b7, 0xb3dcdf0d, 0x0fbe2dc7, 0xb57ca1a9, 0xf5b2a6cc, 0xc10998ae,
+    0x4318ab1e, 0x252e7a3c, 0xba982b24, 0xb76d499f, 0x61c051c3, 0xa407cef1, 0x60b471cd, 0x7ce8e1be,
+    0x349d2ab8, 0x8cdf3d06, 0x9498a969, 0x95aebf2b, 0xad2a9cde, 0xdfc5f57f, 0xeb4a2447, 0xa8fc2da8,
+    0xb6bda42c, 0x0ffabcc4, 0xe421b0dd, 0xdf054f35, 0x3b28b4f0, 0x7c1df7be, 0xde1f8792, 0x4d75a019,
+    0xf499651f, 0x4355fc6f, 0x272365cc, 0x3674cf03, 0xc51c17ee, 0x0750a84a, 0x832a4424, 0x032f057b,
+    0xe1f86787, 0x5a79f982, 0xc35dab9c, 0x2060cc08, 0x0e634e9b, 0xdda9c59f, 0xb16abfc6, 0x8064d972,
+    0xa6144208, 0xc265b613, 0xa57988c1, 0xc38b8017, 0xecf13059, 0x35af1af2, 0xf03f641b, 0x64b8ee40,
+    0x174ff16c, 0x0ab0c7b6, 0xcff2e27d, 0x20748ebe, 0x89925693, 0x0c219242, 0x627e7f73, 0x27752c48,
+    0xa3c241e3, 0xab324939, 0xb56e27c0, 0xf6071a73, 0x54c40083, 0x694cd299, 0xf2c74af6, 0x0f1db792,
+    0x15c6966b, 0x19eef503, 0x6d223db4, 0xd3badac1, 0x5eacca93, 0x60a445e4, 0x4d8c4e97, 0x5cac8d1c,
+    0xa631f481, 0x967dc909, 0xcb2c86c3, 0x7a39ee8c, 0xd09bc993, 0x11f0bafe, 0xab12d892, 0xc3ef05a8,
+    0x0ad118d8, 0x164d32d9, 0x30e93df9, 0xf3ffd183, 0xcb1de4ac, 0xc47a2a77, 0xd62db892, 0x7f3f32b3,
+    0xfe0822ad, 0x52c48216, 0x49adc0c8, 0x1ccc43c7, 0x42f34864, 0x3d697a3f, 0xcc660a3c, 0xaa2c3164,
+    0x45cd6486, 0x0cd9e865, 0x2f48ac35, 0x32fd7a6e, 0x109c0f93, 0xd831c1b7, 0x1085dc48, 0x107c9e33,
+    0x156705f2, 0xf606e124, 0xedcca061, 0x2930e628, 0x17fdfbc9, 0x6374a615, 0xc4c6702d, 0xbde484a9,
+    0xdc795824, 0x83974dc9, 0x509179ca, 0xbc988672, 0xffad8e68, 0x8790a39c, 0xbeeecc66, 0x4c9a79b7,
+    0x1c1185a7, 0x2623a6bb, 0x3693d78e, 0x21764983, 0xfd3c5b0e, 0x1fd653e4, 0x357a7f86, 0xc5b9ce86,
+    0x0034c4d6, 0xd2a0254a, 0x3ea268c8, 0x0ff67c07, 0x8e0009c9, 0xc78005a8, 0xf84f8df6, 0x4e1265b3,
+    0x71d9a756, 0x78e82304, 0x53eabe11, 0xb79ecc5c, 0xe56410dd, 0xbfe694f1, 0xa8dc07d8, 0x82b8605d,
+    0x4e0e48ed, 0x19006988, 0x7603feee, 0x099955da, 0x82ac8474, 0xc9bd0217, 0xabcb7bf7, 0xe0a1d776,
+    0xc045147e, 0xabf90930, 0x85600ebc, 0x583505b0, 0x287c65fb, 0x3814b46f, 0xf5ab3d66, 0xe7503414,
+    0xaeb24003, 0x4b28f87e, 0xaa55c12f, 0xce2628c2, 0x972c281b, 0x6a312d22, 0xce7d9e9b, 0x49577cab,
+    0x6de77c21, 0x2700ba63, 0x4a5bbb5e, 0x48ff7c13, 0xb79f826d, 0x1d50d40d, 0xdd5c78ab, 0x67d8eef9,
+    0x5435eb62, 0x5a4ec3b7, 0xe9c15c8b, 0x5ea1c4d1, 0x1b97452e, 0x1ae5131f, 0xf08f731a, 0x9eeb1030,
+    0xc712b2cb, 0xfb463543, 0xd8755a24, 0xc83ad618, 0xf3420ebf, 0x2ecbeed5, 0x412f7141, 0x5518734e,
+    0xe4f53c0a, 0xee7729bd, 0x525c7727, 0x4758c427, 0x4cef4149, 0x07e5fc7f, 0xa9ceaf59, 0x62a2edfd,
+    0xdb31db3b, 0xe3cc4522, 0x75273291, 0x2e45b891, 0x714ae653, 0xe57213bc, 0x3a9bdc65, 0x7ae077c3,
+    0x8df3470f, 0x5f28091a, 0x2bc2e9f4, 0xae025071, 0xf41de87a, 0xd1a16d24, 0x6b40f592, 0xb74ce48e,
+    0x4c011df3, 0xb67a9058, 0x4a4245c6, 0xd4fe3110, 0x6b28b01d, 0x5d3066a1, 0x4969585d, 0xfcec6d70,
+    0x1e2c1da7, 0x34c42761, 0x7d78fb7a, 0x7d8cb67e, 0x94f76cbf, 0xad01c9f7, 0xf34db8f4, 0x41f4ebf0,
+    0x1475f649, 0x6e074eec, 0xd1b26831, 0xd4bfded2, 0x2d9e8fad, 0x5f61bc2f, 0x8645b305, 0x0644a1ed,
+    0xe72d4b79, 0x359a58c9, 0xde9c6b56, 0x693cfc0a, 0x02008091, 0x64c29107, 0x1ebe4817, 0x01ec7740,
+    0x005f0866, 0xa152d365, 0x3ab56c74, 0xc988750c, 0xaf470529, 0x778cb161, 0xae637d59, 0x3b17c21e,
+    0xf63bf25d, 0x379b5ba9, 0x2e96ef64, 0xdafb410f, 0xdd625ef3, 0x64e9c290, 0x2f8eaa47, 0x8853bcdc,
+    0x316adda2, 0xd8fd75d4, 0x60f72a1f, 0x15ea799c, 0xfd095c4a, 0x3ee0c079, 0xb7726dd2, 0x7ef33c4f,
+    0x8d6bed3e, 0xb90001f0, 0xfff78bd9, 0x40e0133e, 0xdf504ad1, 0xbe7c4b97, 0x78b2feff, 0x070e7296,
+    0x399e11b4, 0xe0908235, 0x039b2aca, 0xa5b2c437, 0xc27a339c, 0x79586761, 0x9af26b1c, 0xd955a60e,
+    0xf33350b2, 0x9136e8c2, 0x5e1c4a72, 0x4fb92aa8, 0x7851d688, 0xe32af048, 0x0b416727, 0x921bf0d3,
+    0x7c225a4b, 0x98f8d169, 0x2bb790ea, 0xb4843dcc, 0x44dbe56e, 0x7cead0e5, 0xb5d11907, 0x938d1e36,
+    0xeb6024c2, 0x57571854, 0xe018524e, 0xfc7b8dca, 0xa1276b94, 0xe121ca9f, 0xbc860d55, 0x364b54a9,
+    0x62d1ba02, 0x72459128, 0x3595ae7e, 0xae1d6d34, 0x47f31232, 0x4574b582, 0x041e8461, 0x3ccd68ac,
+    0x93c3dc61, 0xfb55e69d, 0xe9fdcbdd, 0x2ca96326, 0xbd693454, 0x99a8dfa2, 0x9da5a4b5, 0xca62db35,
+    0x78bfdfd7, 0x8362557e, 0x68367e5d, 0x5dae966f, 0xbd79efe0, 0xe8f57853, 0x02d33016, 0xd2bb216e,
+    0xa5064b7c, 0x471d032f, 0x1e3353c2, 0x3d6b2695, 0x7ef13e54, 0x5d6a77fc, 0x3ae6ef30, 0x7ad30b03,
+    0x050d1dea, 0x37f5117a, 0x6473d9d8, 0x0b9f080b, 0xdd16555b, 0xd4478c59, 0x03fdc9a6, 0xb399f51b,
+    0x00000000,
+    0x6e49537e, 0xc84c52b1, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000006739986666787659948666753771754907668409286105635143120275902562304 */
+  { 0x00000000,
+    0x56220d91, 0x1d09f0f5, 0x4b4312d5, 0xff6c609e, 0xb2f2519c, 0x353a2c1a, 0xe648b6e7, 0x627b82fd,
+    0x89d86e56, 0x55ec52ad, 0x5be07525, 0x281512bf, 0x519bccff, 0x931de07b, 0x5ad7376f, 0x31bdebdd,
+    0x961f6195, 0xbe6780ce, 0x006b91d6, 0xe7a23657, 0x9cfe1b40, 0x8df5dc73, 0xad89f063, 0x9936b074,
+    0x0845b9db, 0xbccdebbc, 0xe6af6969, 0x2b1ae767, 0x9e9cd7a4, 0x3a824c40, 0x1f12dd91, 0xf35a73ff,
+    0x48d28978, 0xf6e3a8e4, 0x9707d900, 0x2e101a1b, 0xda878159, 0xdcf65aac, 0xeaac4d10, 0x7d65447b,
+    0x81a36550, 0x3b880945, 0xf519390a, 0x0e47cfa4, 0xb2d05eef, 0x5c48b098, 0x5aa59231, 0xa6e8bb3f,
+    0x74dc82d6, 0x0b79c1aa, 0xf09527d1, 0x2e92956e, 0x14babd90, 0x49fc7ec8, 0x6aa64790, 0xaf8f330e,
+    0xc158a73f, 0x365a4d90, 0xaf600978, 0x5be542b4, 0xf30a39be, 0xc8992f9b, 0x9ebfea71, 0xfbc272b8,
+    0xeba5d902, 0x5bedba89, 0xfc87f706, 0x3b5f5194, 0xfc8f300f, 0xc4aa7cf6, 0xbb57416b, 0xb341dd8c,
+    0xfc132683, 0x9e0313f2, 0x49199b95, 0xed4d44eb, 0x73b5bcfe, 0x94413651, 0xf0304386, 0x0c96a007,
+    0x46f3ba0c, 0x1a19fde3, 0xd1d0f719, 0xdf296499, 0xb6ec962b, 0xa8edfa21, 0x645ca0af, 0x00a3c1ec,
+    0x7c484940, 0xa9c79d5c, 0x0d8d1ce0, 0x38cd6d1b, 0xbb2c1883, 0xb1614e32, 0xc2929b66, 0x4e20973f,
+    0x8c60113d, 0xfeeaaac3, 0xf560c98d, 0x2020492a, 0xd7be787c, 0xf0c5a65d, 0x3e790ad8, 0x8e43c77a,
+    0xeb332cbb, 0xbcb99bb7, 0x670c46c3, 0x1584c947, 0x6525968a, 0xf60431eb, 0x1831edc0, 0x25238166,
+    0x6bd2fc7d, 0xab14ae38, 0x16a22ac1, 0xdc49d7ab, 0x9534e2b2, 0x12f7fcf8, 0xa3b0c732, 0x7c533fde,
+    0x2d8e5df6, 0xe44406d6, 0x9a3d2716, 0x11a5b40b, 0x63d5e3a4, 0x0eabb3e4, 0x89e41c85, 0xf6f3d41a,
+    0x5fb6d050, 0x70a869bd, 0x3227ae7c, 0x07fc43bd, 0x6c33c9e5, 0x6eb6e7ba, 0xe4f169ae, 0x4e4022bb,
+    0xcbbb1412, 0x5aa06d0e, 0xc27ec43a, 0xb42be7cf, 0x46f81546, 0xf8387c70, 0x42875220, 0x4bada906,
+    0x54e9ec13, 0xfddb2ee4, 0x6c751cb9, 0xa5a757d5, 0xd0e37432, 0xd33a8e81, 0x1e42d10e, 0x279afe6c,
+    0xd9d6a323, 0x15f776d7, 0x50df624d, 0xbadaf719, 0xcf5de2a3, 0xf07d5233, 0xbb90f226, 0x6718dce6,
+    0x93be1d46, 0xd09f3e23, 0xa1bd34ff, 0xfb1a3d4e, 0x167a30b8, 0x23aea5f1, 0x8d1ec411, 0xbfdb342f,
+    0x4fb742f4, 0xc593a9f7, 0xf96b8048, 0x31afd3e5, 0x3e378811, 0x32e35a36, 0x42d7916f, 0xb63f91b4,
+    0x2e389800, 0x200a5dde, 0xeaf78a81, 0x75e2fb84, 0xe306442a, 0x69582408, 0x7d378fdd, 0x5d9fddd3,
+    0xadf77e67, 0xeafeb622, 0xb0680bd6, 0xf8564d2a, 0xb4097703, 0x7a170a23, 0xf1a1919b, 0x52fcec7c,
+    0x0ff24f81, 0x4e31961e, 0xb9aba570, 0xc189099f, 0x5e945f0c, 0x6b4d8676, 0xca216d80, 0xf9da6a4c,
+    0xa34ef915, 0x0187f501, 0x33164a42, 0x5e116ebc, 0xce00a88a, 0xb27759d7, 0x36455483, 0x2cab528b,
+    0x86381e05, 0x3c2d14e4, 0x76190f43, 0xaa5690ff, 0xb36c0dec, 0xb01c5748, 0xd967eaaf, 0x46193d4c,
+    0x06414418, 0xb77d97eb, 0x70a18561, 0xf55dacb8, 0xb21296e8, 0xc882f1b6, 0x6e8bb08f, 0xc62df201,
+    0xab653838, 0xdc512f8c, 0xc7ce1f8e, 0xfa19b7e6, 0x5948851c, 0xae30a816, 0x577532d1, 0xeea670b9,
+    0x6185da15, 0x75506708, 0xbcd25c81, 0x370d280c, 0x86b96bb3, 0x26669dd1, 0x1dadbb45, 0xa1d1edc8,
+    0xf757eaab, 0xb9ea9266, 0x8bbe4c64, 0x503696ff, 0x0c1c7e20, 0xb5326a88, 0xd9b2ee43, 0xf140aeda,
+    0x47230aaa, 0xd328dc8a, 0x364505b0, 0xf1d426b0, 0x4ebc8ad1, 0xcad65665, 0x218eeec8, 0x9041e0cb,
+    0xfd2033c7, 0x45c47841, 0x716a14da, 0xdf1cf78a, 0xe388ea0e, 0x081cbc01, 0x214c0fd9, 0x960342f8,
+    0x603ee0dd, 0xb621231b, 0x182e6a58, 0xf1fa57ae, 0xcb3a2a36, 0xc68d6608, 0x72415b39, 0x159d8016,
+    0x2117e3c3, 0x8da9ce18, 0x852bd9bc, 0x68fe531f, 0x283270c0, 0x857f2f58, 0x4887344a, 0xcf481ab3,
+    0x247f9409, 0xe2207294, 0x1e14c15a, 0x3126566b, 0x62b7495c, 0x1656173f, 0xf96e42e9, 0x733e98bd,
+    0x91e15f9f, 0xc2d2eecd, 0x6c4eeb9f, 0x1fe3311a, 0x58c1b38e, 0x043f5e06, 0xeaf728af, 0xecba8d08,
+    0x63ced9f7, 0xcf168273, 0x09bc6abd, 0xfb657fb6, 0x2bdde229, 0x9b784822, 0xab6a6c7a, 0xfdaeb02e,
+    0x784193a5, 0xb2efe63c, 0x65de6034, 0x674a7470, 0x88d35d7f, 0x16adbf3c, 0x88858a75, 0x71fab08f,
+    0xd019e0f8, 0xa782f2c3, 0x86e05f03, 0x12fd5997, 0x8322fe40, 0x1404647a, 0x96bd22bf, 0xc4e377ba,
+    0x3e3a6770, 0xcae5816a, 0xfc579559, 0xd0d2609f, 0x9114189a, 0xdb11ac31, 0x432e5612, 0x690fc14e,
+    0xa06f6f69, 0xec9e1985, 0xe2ccaf11, 0xb887787d, 0x19be929c, 0xa9561e0a, 0x311f5f57, 0xe20d4f9f,
+    0x005f3259, 0x870b5079, 0x9397fcfa, 0xe6c31185, 0x6e69f096, 0xeec7fda0, 0xae967dfe, 0x21fac6c6,
+    0x80939ffd, 0xe29db0f2, 0x2fa3539a, 0x14cc53aa, 0x9804ebed, 0xd0c16e52, 0x37e4f840, 0x8cca6671,
+    0x35184c04, 0xdc9dca6c, 0x173af6f9, 0x566e46b6, 0xe83e1b3b, 0xa1db9f72, 0x73a6f2af, 0x453b4b1b,
+    0x5384405a, 0xe3f569d8, 0x8336339a, 0x37a89612, 0x3db4f555, 0x5e53b115, 0x4e96b3f2, 0x6a058a60,
+    0xc64138c5, 0xd6ddce55, 0x36cccb04, 0xf76f14ee, 0x7a508343, 0x5f42ce7e, 0xbd90af35, 0x230540bb,
+    0x8f8aeb45, 0xa213e89e, 0x8548e0f4, 0x2afe32b7, 0xf0b6e8f1, 0x30c9660c, 0x47693b84, 0x70f7c1ca,
+    0x1affbff0, 0x60751acc, 0x81d4e640, 0x8d8a0b4b, 0x9ed868c6, 0x6de425f2, 0x1a851996, 0x02d0f197,
+    0x3417a8a7, 0xf74f603e, 0x8ed237fa, 0x2289e6cc, 0x7d0cd79c, 0x19697cc2, 0x56ea8608, 0x1e050245,
+    0xe007f199, 0x5c7a321f, 0xfeaf2d39, 0x136c7216, 0x60435f0c, 0x6669aabc, 0x84000385, 0x20ae28ea,
+    0x79768901, 0x31f9aacc, 0x8ba8ccf3, 0xd4878802, 0xd7efd140, 0x315506e4, 0xc0f4b8a8, 0x664137f8,
+    0x8664c811, 0x2a31741f, 0xd4ce186f, 0x889e0eb0, 0x2cf8b7b1, 0x59ab0905, 0x15c37c7e, 0x24bfbec8,
+    0x2d1c7d48, 0x25627da5, 0x98fb260b, 0x4179a8d5, 0x3a343af0, 0x2c0850a7, 0x47b3e66c, 0xcec902fe,
+    0xe338a8ed, 0xba0e801b, 0x5064d531, 0x979411d9, 0x215c07aa, 0x4bcb074e, 0xd5d76a9f, 0xecec9035,
+    0xe8a8451e, 0x2e8a3910, 0xe644cff2, 0xef633c87, 0x749a070a, 0x415d85f4, 0xaff706c5, 0xfc0a5d9b,
+    0x1636bbe8, 0xee792703, 0xf26703b6, 0xb2b7c6be, 0x725f1a34, 0x30c7b869, 0xee3fe4cf, 0xb2062b72,
+    0x5c9dbb96, 0x94080146, 0xb960c646, 0x447d0224, 0x9cf773c5, 0x9d141eaf, 0x81f00929, 0xf3d4b367,
+    0x8914c3f0, 0x7da1e778, 0xf5ebadf5, 0x0f7cd39a, 0xf9a7cd95, 0xe1a71834, 0xd136dda2, 0x9d0395a5,
+    0x235d3e27, 0x0406d3a0, 0x59b64498, 0xe333b44f, 0x0576c402, 0x50179746, 0x6c548be5, 0x41cedb19,
+    0xee7bfa11, 0xa0572ca8, 0xaeff2d0a, 0x867a9e77, 0x8b2787cb, 0x3986995e, 0x531c7276, 0x894c6d5e,
+    0x2ae104fe, 0x3c18ec98, 0x3b4ca06b, 0xfdb37990, 0x40958f99, 0x055edc93, 0xb3dad682, 0x18fa1916,
+    0xa312899d, 0x662f3f7c, 0xe4da0889, 0xe9a3a6c3, 0x07ed73ea, 0xd1f9dba3, 0xce4c0509, 0x7210fa7c,
+    0x3c5d294a, 0xa46322f5, 0x76c326e8, 0x59eaf38f, 0xcf9a0ff4, 0x6f4cd80f, 0x70b306df, 0xf7c1cb6c,
+    0x63d43d01, 0x05bb7625, 0xe61819d2, 0x11dac0b6, 0x488e8c82, 0x44c599d5, 0x02aabcc2, 0xe0ded6bb,
+    0x9c36fc19, 0xb45d8173, 0x5b771c1b, 0xdeedca37, 0x5687c8d6, 0xc6e46288, 0x15febccf, 0xf0c36936,
+    0xa3e30f37, 0x2ace8d48, 0x006e28bf, 0xf57462a1, 0x8e4c1df3, 0xcd6aa2fb, 0xf0ea2ae1, 0xaa4e8a8e,
+    0x4210ed05, 0x60bd76da, 0x3382e00c, 0xec0c46d1, 0x9e2ebe0c, 0x06b317ea, 0xd1569057, 0xba2ec6c3,
+    0xfbce18ca, 0x24e9a2a4, 0xb8bf5b42, 0xc61f90f4, 0x5e1c9981, 0x5bce837c, 0x4c87ab1b, 0xfa3b8d46,
+    0x142c2db3, 0xd3bc3c95, 0x688d240f, 0x9a5c34c1, 0x2253878c, 0xb081cfcd, 0x43cce053, 0xe74284f0,
+    0x0c329099, 0x852afac5, 0x6995ac02, 0xd6c534d2, 0xfe156b12, 0xb9c70a5c, 0xfba83bda, 0x074391fe,
+    0x7e1663bd, 0xdc68857d, 0xd197cd5a, 0x2d3a02d2, 0xb7d375f7, 0xce2715d6, 0x28d8cc31, 0x96c96d95,
+    0x25a18c5d, 0x9b97ed77, 0x1cab2d74, 0x0fe434e5, 0x0c8a50e1, 0x7a52bee6, 0x9b134e35, 0xc1b8c274,
+    0xce5305ec, 0xabac86f2, 0x999a32a8, 0x52cfdfb3, 0xb2186cb6, 0x0d1ac69b, 0x1d090ddb, 0x2e31646a,
+    0xe1bfcfe1, 0xe4652c98, 0x086e95a4, 0x14f51091, 0x86568ffc, 0x1fc92c79, 0x50239cd1, 0x5a30c4af,
+    0xa07f7d09, 0x08ba4603, 0x9c029e31, 0x650aeeef, 0xa763233a, 0xe314f60c, 0x87b73d0d, 0x143f6e24,
+    0x4c330ed9, 0x40ab5882, 0xc6126daa, 0xabeafc02, 0xc4af1442, 0xa7c6540c, 0xa13dbceb, 0x8682a20a,
+    0xdf7c8c4b, 0x38651847, 0xc8b1401c, 0x6710977e, 0x635ca89f, 0xf298b465, 0x61a713f5, 0x752f1f39,
+    0x1aeb8a8f, 0x375a9ff4, 0x6090446e, 0xa7c7a43c, 0xcce6113d, 0x01f54f2c, 0x21007737, 0xb8bc2829,
+    0xca9371de, 0x2a46f13d, 0x40317bdd, 0xb3bb2889, 0xc69ee9de, 0x30e37601, 0x950eddb9, 0xb88a8542,
+    0x4e595ea8, 0x93228787, 0xf55ea25a, 0x8133935a, 0x3a1f243c, 0x4b498e6b, 0x79cee06b, 0x050f5114,
+    0xb0d75780, 0x7a380a62, 0x86045f35, 0xb69f0f98, 0x2d96837a, 0xa3a87a01, 0x0b500e74, 0x2b637caf,
+    0xbe95977a, 0xa69c4fe8, 0xe5c3afaa, 0xfd119e3a, 0x9f13ff17, 0xbfde872d, 0x5e45fa8b, 0xc7761826,
+    0x4898a2ec, 0x0d1e1d0d, 0xe0e58f38, 0x1def866b, 0x70de2734, 0xadc91c32, 0xbf60dcdb, 0xf9569635,
+    0x4e132ab3, 0x836c0c09, 0xb19479ec, 0x08d1b9dd, 0x7341fcd6, 0x3e7a48ea, 0xd13b8300, 0x6224fd45,
+    0xd6f7170e, 0xd88b86ad, 0xa2b9db04, 0x510dfa2d, 0x72a7a693, 0xca92b909, 0x6c2103c2, 0xc4f19289,
+    0xe4434ce9, 0x187e29db, 0x5e6565ba, 0xbb2bd040, 0xd2a9eb3c, 0x3398570f, 0x693ef81e, 0xb910649a,
+    0x635d5a27, 0x9abbff4e, 0xc8ebc691, 0x3b86a56a, 0x1a75e307, 0xba8dcd4f, 0x0301040f, 0x45350d57,
+    0xa9665aa1, 0x51910fee, 0xd1eaef5e, 0x8e990df1, 0xa9fb815f, 0x8bfff8b8, 0xf8c73f63, 0xda3fcc6f,
+    0x0070c6ec, 0x21c0f0be, 0xc2727db0, 0xc6ffb426, 0x53cd876d, 0x5d908003, 0xc03dda26, 0xc1a5764a,
+    0x02c37cd9, 0xeb768cf8, 0xf83d4749, 0xf10861a7, 0x4c38e208, 0x8533041c, 0x38ca63d1, 0x4b3463d2,
+    0x52ea36dc, 0x17800075, 0x8115ba0c, 0x56a26d0c, 0xfd3df5c7, 0xd3f6a7d6, 0xb2a52fd9, 0x3d0c139f,
+    0x1a57ff2f, 0xff1fd33d, 0x354ab694, 0x3ff7bd4d, 0xa596201b, 0xedc2f759, 0x686ec492, 0x27cb7792,
+    0x6cf5be10, 0xd5c14aca, 0x32737850, 0xac2c1877, 0x1dd13308, 0x93ccf073, 0x72dc0020, 0xddde1cb0,
+    0x71a261e6, 0x902e5dc9, 0x779d5ba5, 0xd30f09eb, 0x33284c9d, 0x9b0f137b, 0x6954e8f8, 0xf4e1b355,
+    0x30e37444, 0xfa44b513, 0x2579aa23, 0xa31a8462, 0x538bc323, 0xdca7d052, 0x57a9760b, 0xfee8d154,
+    0x225ea8c1, 0xae1bdae0, 0x0ab68655, 0xa6849fc7, 0x9cec9d2c, 0x373460c8, 0x554fe3b9, 0xb834ab53,
+    0x9aa92802, 0x5561d724, 0x6412cd2a, 0x44ee46fc, 0x91058b00, 0x23a9be09, 0x5fb9eaac, 0xf6def3cd,
+    0xb934aa49, 0x7a483022, 0xb1a6ed7e, 0x918a4815, 0x938bfc86, 0x54664395, 0xbbcbdb10, 0x22bac713,
+    0xa2fc1489, 0x53a21cbf, 0x82128cfa, 0x539e2fb4, 0x428e7c7d, 0x359dc176, 0x73fcba05, 0x23cc8a98,
+    0x407a72f1, 0xc8e656a3, 0xfa0aac01, 0xfa854677, 0x8b647128, 0x423e1863, 0x2deb011f, 0xf5fb8359,
+    0x42980c05, 0xe664ff86, 0xe3492071, 0x1ff3fd0c, 0x43e39e87, 0x77bc5bbe, 0xe09e15b8, 0x6c8ab29a,
+    0x7e3018b9, 0xf1ea69d0, 0x914bec5e, 0x05f258f5, 0xa51e851e, 0xcc93a2a8, 0xa8b75926, 0x6fb6c2d4,
+    0x82662ff1, 0x900d1ecc, 0xb81e675b, 0x989a0e02, 0x658d67a9, 0x2053dbf3, 0x44a52018, 0xa854e43a,
+    0x96384a76, 0x90abd9fa, 0xe68e845b, 0x49001fd8, 0x2e7df368, 0xde0b98f9, 0xdb6a7c6d, 0x6b5bfab4,
+    0xb7312058, 0x8c1865d9, 0x8f6b24d5, 0x6ff22ae7, 0xec543fa5, 0x034e362d, 0x05782303, 0xe5ba6927,
+    0xf98e14c4, 0x3d459dea, 0x270a6856, 0x3d6421cf, 0x57867e8e, 0xb544ad1b, 0x7c551755, 0x109b1b44,
+    0xbd56cf19, 0x1334e17a, 0x73454710, 0x4ed3ec34, 0x62669941, 0x04b34f5d, 0x203209b9, 0xb09b440b,
+    0x3e19301d, 0x63986641, 0x185766ec, 0xcd73ab3a, 0xf1e3c77b, 0xa905b09e, 0xcb6d11b6, 0xf19c71d7,
+    0xcdd77634, 0x4cb993a4, 0x4c7b964a, 0xf4255dfe, 0x9ce79cf3, 0x02deff20, 0x3e1d01c8, 0xb4ea87af,
+    0xc19ef10b, 0x3404f0d7, 0x59fe95ae, 0x366c7601, 0xb2cc92ed, 0xa356f756, 0x5d1eba33, 0x0498f86a,
+    0x535202da, 0x5c018f80, 0x187eb979, 0x693605a8, 0x83913952, 0x1a8bfc03, 0x6b3c66f0, 0x51c54a03,
+    0x6866b464, 0xe193093a, 0x72c7735c, 0xf7ee3bae, 0x0fee5f6b, 0xed953c46, 0x4b3aefce, 0x8f5afce1,
+    0xd51dc720, 0xc50b9a9d, 0x68d55288, 0x905c04c4, 0xf574ac49, 0x8b2b4012, 0x529162f7, 0x48a0dc78,
+    0x8223ee16, 0xc2522edc, 0x5d32fdbf, 0x60ebbd18, 0xa660a3fc, 0x7a597e12, 0x3440e93f, 0x54cd0629,
+    0xcaa7862e, 0x82c17393, 0xc21001a6, 0xa78991c5, 0xdda5447d, 0x54d66f27, 0x0ddc55ab, 0x26b906f0,
+    0xd1a439fb, 0xce92438b, 0x703a651d, 0xb713c807, 0xeecaecb7, 0x7624dec4, 0x9c671c27, 0xdeb2728f,
+    0x6a5ba1ca, 0xba8b51fe, 0x4159da9b, 0x79ca5dd0, 0x84ffec60, 0x2b79754b, 0xb5ce171d, 0x057e52f2,
+    0x8424d3c1, 0xc3da1aec, 0x96338304, 0xef964de0, 0xc9062147, 0xec4a93e9, 0xefa3f831, 0x80f8d713,
+    0x6fd81ebd, 0xff20d973, 0x213ca9ad, 0xe84de250, 0xc3c10623, 0xfdb7ef83, 0x76585193, 0x938aa6e7,
+    0x59c583be, 0x3ae88621, 0xb6c63765, 0xe58ea51a, 0x8114f0ba, 0x0d6f5975, 0xaefd28dc, 0xa2ffbb95,
+    0xdd6088af, 0xbb1791cf, 0xd7e71b02, 0x2f47028c, 0x6a2ba014, 0x28e2e8c3, 0x3a26186f, 0x56d715ea,
+    0x43667638, 0x9b0ec910, 0x3bcf2b7b, 0x863dd5c3, 0xad66625c, 0xfef879a1, 0x65bc7d3e, 0x2641f204,
+    0xb5d27e97, 0x0999207d, 0x4d7d7fbb, 0x84f50160, 0xcdbd1c88, 0x55f3d3c9, 0x58ab2478, 0xb7de1214,
+    0xbac87fbf, 0xde900d8a, 0xd604c9c6, 0x69672c3a, 0x52322d6e, 0xbb6c001d, 0x527b3e61, 0x725eea97,
+    0xb6d8c44c, 0x054cc05d, 0xf2046249, 0x9feba088, 0x710bff28, 0x32f7ad19, 0xc3147cda, 0xd66cb9f9,
+    0x00000000,
+    0xb724a9be, 0xe4262958, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000003369993333393829974333376885877453834204643052817571560137951281152 */
+  { 0x00000000,
+    0xb7f44b75, 0x2481cb12, 0x6bd63d2a, 0x76eaf224, 0xe2100d67, 0xfe974f24, 0xd281e2bd, 0xfcd19e8c,
+    0x847620c2, 0x496fec83, 0xdbc9a216, 0xe83e40e0, 0x36245db7, 0x36008a30, 0x1af92568, 0xf11b322b,
+    0x4a3265e0, 0x3505de9c, 0x5abd9b0f, 0x692aa90f, 0xf2bb3861, 0xe5b5a1c2, 0x1d251cb2, 0xa52a283c,
+    0x691fc6c1, 0x3831f8dd, 0x03a655fc, 0x53544fbf, 0xf39682af, 0x36501341, 0xf1af1eaf, 0xfbf581a1,
+    0x26c9fe94, 0x276cbb83, 0x15fd8285, 0xdb21ffb4, 0x64e16c49, 0xfdf029fd, 0x73cb32dd, 0x7c18a256,
+    0x4df2f560, 0xbcbee044, 0x72189bf8, 0x22c2bc1d, 0x5c1ee432, 0xc61ed160, 0x492543ac, 0xdd03ee01,
+    0xb99059ac, 0x9cd3bb37, 0x0c121bcd, 0x3a0ee902, 0x5bcccd1c, 0xde7cf5b1, 0x80deacfe, 0xc709ed6f,
+    0x78438d9c, 0x79fbe124, 0xe3a7165e, 0x8b1eeeee, 0xa42454f5, 0xa17ab141, 0x846399b4, 0x148bc46c,
+    0x2491098e, 0x5b1cc810, 0x29f164c4, 0x03881df7, 0xc07f270b, 0x0bab27d0, 0x29aee77d, 0xe7fe2117,
+    0x2ec0512b, 0x7d710d5a, 0x23f70f6c, 0xf66b5e44, 0x6084cde7, 0x2ae49a7d, 0x690f0a63, 0xc591b38f,
+    0x94121b03, 0x375a8c31, 0x79d8fccc, 0x3ef3dd9a, 0x6a3a7023, 0x5f029a6d, 0x55d6f9ad, 0xba67c3cd,
+    0x6dc53f4c, 0x6eb42123, 0x076c7874, 0x6930ce10, 0x0346404d, 0xfe69bd49, 0x940e088c, 0x6438dc9b,
+    0xff94f6de, 0x4ca55af5, 0xe66feb36, 0x4b29544c, 0xcf6ed3fc, 0xd9a6416f, 0x3d4d5162, 0x5913991c,
+    0x069fa844, 0xaa968f8d, 0x3162252d, 0x2f5fa642, 0xa341731a, 0x068753e6, 0x1a79e68a, 0x3c66a174,
+    0x29a2b8ef, 0xdf04988b, 0xed19e729, 0xf7188df9, 0xa6b7e953, 0x5d449acd, 0xf79a5cbd, 0x38cc4566,
+    0xbf71112f, 0x1ac4f4a7, 0xcee0b289, 0x59860588, 0x716444f2, 0xab049129, 0x55920a60, 0x0236c4dc,
+    0x09b3a00f, 0x39a7ddb2, 0x628a9d54, 0x13fcdb31, 0x4461d7c7, 0x0107eab9, 0xe8709025, 0x1d1e490e,
+    0x8470113b, 0x2b45940c, 0xefdb3f9d, 0x87aaefaf, 0x8ef47a3c, 0x9f9231b0, 0x9d22fe9d, 0x5401aa95,
+    0xda6c40ef, 0xe43ca659, 0xfd6d5fbd, 0x3aeb1845, 0x829a6c11, 0xc4b5340d, 0x9fa20ac7, 0x9b459bca,
+    0xc9234ccb, 0x292f75ae, 0x4223a353, 0xaec5cea3, 0xc645894e, 0x59605d1d, 0x675ba6ee, 0xafc307eb,
+    0x3c713053, 0x3ed4a780, 0x5614b882, 0x62850259, 0x9a8041cb, 0xe6d0ef37, 0x6f4e104c, 0x23e0c4a6,
+    0xdabe8f1f, 0x18029ba3, 0x3989aace, 0xe599adf9, 0x908f2d03, 0xdcef6946, 0x9e78eb2d, 0x0e16696e,
+    0x51152f03, 0x2835e6b5, 0xb14c1620, 0x5ea52772, 0x2bd77fc8, 0x10faa2ee, 0xd8be595f, 0x317bcb37,
+    0x43684a8c, 0x6cdb0232, 0x207b4f95, 0x2f6ce751, 0x54a43995, 0xde2dfe8f, 0x7833b5dd, 0x049629a7,
+    0x7e8cd1dd, 0x63be5695, 0x79c36500, 0x2ed041da, 0xa185beed, 0x3d262350, 0xa73f4f0b, 0x70795c07,
+    0x481a1425, 0xa7eee203, 0xc08f9326, 0x051ba0fa, 0xbd94a0cb, 0x9f3fe1f7, 0xca67cdb3, 0x82a8d31a,
+    0xe918358f, 0x09ab8785, 0x3051e2dc, 0xf3625da9, 0xb6d21abf, 0xc73f3edf, 0xea881f27, 0x8113f5f9,
+    0x72b90601, 0x04fb3d2d, 0x4810b3b7, 0xbd54ad19, 0x8e3454e0, 0xbb8ffc99, 0xc12c7c68, 0x54d6f6e4,
+    0x61b0570c, 0xbb6c5c3a, 0xf16d186c, 0xdd9179e3, 0xa7c64614, 0x16e3ae11, 0x0c34ac4e, 0xc8ce0324,
+    0x8ba12704, 0x44094ae5, 0x973b748a, 0xdca310fc, 0xdf5bdabe, 0x3b1ce642, 0x8fe775ec, 0x023975eb,
+    0x7de557b5, 0xa146cf25, 0xddca7429, 0x7e93b4d0, 0xded99852, 0x1409950c, 0xf1f55798, 0x99cd7446,
+    0x607f7ac6, 0x441b4694, 0x7df6e2c8, 0x2d83fe5d, 0x790e0d01, 0x5a73dcb5, 0x926cadb4, 0x65dfd55c,
+    0x1842eb38, 0x0a333c7a, 0xe6acc9d4, 0xc0629a48, 0xd25a3950, 0xbcbea8d9, 0x6b711a5f, 0x89243b2b,
+    0x469228fa, 0x3105fa95, 0x69e66ee0, 0x93af0061, 0x74240d07, 0xe87d208b, 0xfbce4d18, 0xcc12deb6,
+    0xb3374e26, 0x71b439c4, 0x72b356ae, 0x430e5259, 0xd31e7e76, 0xe8cf53f1, 0xa3c6ae5b, 0xbd930c20,
+    0xc06363ab, 0xa1bdaf83, 0xaec8d324, 0x6cb84b45, 0x89c7ad1e, 0xf23195bd, 0x45c77e37, 0xb48baedb,
+    0x89f77c7b, 0x7a1ea576, 0xce3451bc, 0x46123603, 0x412ce7c2, 0x930e2d9c, 0x45a2e70f, 0xb9d4af99,
+    0x7236c85e, 0xe8638d46, 0x20c83633, 0x494b26fd, 0xa166121d, 0xfa527698, 0x00027ef1, 0x46dbef60,
+    0x051bdde0, 0x421f3961, 0xd540baba, 0x53e873b4, 0x8b86c381, 0xb1418ec1, 0x4efe7cb1, 0x4717c7a6,
+    0xa24e85a0, 0x978f558e, 0x5fcc8782, 0x4fa88f38, 0xb79ab198, 0x9f054ee5, 0xea0f553e, 0x29abd341,
+    0x0eccae32, 0xbcb61de5, 0x7a1fbc12, 0xbafe645d, 0xdf9af67e, 0xe959f6e6, 0xed1040de, 0x3c494bae,
+    0xb8f40c03, 0x62277494, 0xf8164c42, 0xed4b4b5a, 0xb42aee77, 0x1c8a0207, 0x5bcd749c, 0x0bb7c29e,
+    0x0ade4b9e, 0x9d8d34d7, 0xd5850c3c, 0xb27f13d4, 0x7ea99007, 0xf62e86fc, 0x61342778, 0xce991f5f,
+    0xadef2005, 0x30ee3e62, 0x82719dd9, 0x34452bb9, 0x5d74cb8d, 0x765a3aa6, 0x8b41fb06, 0x5d2c9aa7,
+    0x0cb31327, 0x96539439, 0x85cb73ef, 0x149ce6d2, 0xb0dde23c, 0x9c66a3fa, 0x3d752a93, 0xcf9bcff9,
+    0x34141378, 0xfff8f267, 0x07d8781f, 0xd6ad2fa8, 0x1830c670, 0xfc76f44a, 0xe547a637, 0x95cb6dd0,
+    0xd9dca1d8, 0x0bae6a3c, 0x80e69e7b, 0x9f746f1b, 0xcf3ad054, 0x9cb19d8c, 0x663ec874, 0xdcf24e13,
+    0xbe6b6b0b, 0x0c9b4877, 0x4c490b1f, 0x47dc48eb, 0x4cb7585c, 0xb162e6e5, 0x250e156b, 0xe68555cd,
+    0x188db8b1, 0xa2a29462, 0x6c13b3c7, 0x548bc5ff, 0xeb40edbb, 0xaf9d6f37, 0xe4109e74, 0xcfe5ada2,
+    0x4a1e4925, 0x2906571e, 0x0e37ca96, 0xfec21a93, 0xe05ad6f8, 0x0b41c27f, 0x0517e632, 0x76f66b93,
+    0x16f722c0, 0x3771d4ff, 0x7a96eeb1, 0xe98ed783, 0x341a449e, 0x5b07d512, 0x283334e6, 0xbb8218cb,
+    0xb7fcfe84, 0x816d34a9, 0x7287278f, 0x2bd95c24, 0x4c491654, 0xfa1d86cb, 0x94bab888, 0x53d95654,
+    0xab1ba8d7, 0x9bef7dd9, 0x21c318a1, 0xf934c405, 0x12c3d60a, 0x94a6abd2, 0x266e4a70, 0x152e2425,
+    0xde9142a7, 0x9a3245a1, 0x7f3b1ca7, 0xa88cac0c, 0x3edc4e15, 0x5c21d799, 0xf4b55909, 0xf32cd328,
+    0x438cd4ac, 0x3702084b, 0xe3d0a079, 0x75ee9093, 0x3fe8a8fe, 0x6321fdf8, 0x6200f73b, 0x702f1e42,
+    0xb4a02f98, 0x6c396da4, 0x0cfafefa, 0xeee8d3f4, 0xb296e9c1, 0xbbb32cce, 0x7d9dcffc, 0x48018866,
+    0xd91189b1, 0x7000716c, 0xb8d75fc5, 0x704545e3, 0xf0a844ac, 0x65644d10, 0xadf1d836, 0x548a37b3,
+    0x05dad184, 0xb04a8749, 0xa7f58ee0, 0x6142119f, 0x1523bb7b, 0x1fab8765, 0xd324195a, 0xb72b7607,
+    0xba61eefa, 0xdaa70850, 0x7b7c9d7d, 0x85cf4925, 0xb343d4b2, 0xf1959abd, 0x71562cd2, 0x819f497d,
+    0x0faaf96f, 0x949a81a2, 0xfa0140d2, 0x616f0073, 0x932ba609, 0x3f79c1a4, 0xa899edc1, 0x31f23bae,
+    0x1967907f, 0xc3b34591, 0x491d3643, 0x751f9025, 0xa8d351e6, 0xcf5018cc, 0x1e98358e, 0xb6e0acec,
+    0x790ad62b, 0xc361ff29, 0x2b9d9096, 0x0f461c1f, 0xe5e4e4ad, 0x0137c752, 0xcb40f5ea, 0xd4da9501,
+    0x0c8de0c3, 0xcafee1b9, 0x36731e1d, 0xdc7dc546, 0x639f1e7b, 0xcac2c781, 0x218eb7a2, 0x4c334373,
+    0x22b050f9, 0x0b490195, 0x18fbc080, 0x5973426b, 0xc66b4c81, 0x40d13272, 0x207b4d8e, 0x2acd30ff,
+    0x1de82a55, 0xcaf490a8, 0x360f9187, 0x03d627fa, 0x16d02619, 0x3106ddb7, 0xa8d133fb, 0xafb2767c,
+    0x4e1e618d, 0x2e7afba4, 0x5b0214ba, 0x737a70ae, 0x3be2216d, 0x8c0a20d1, 0xe5380d63, 0x99eb8476,
+    0x38775d5c, 0x9de37d6e, 0xb4b089a8, 0xa9f9356b, 0x75fe701b, 0x86d024ff, 0x1766d669, 0x4d6532ff,
+    0xd45b358f, 0x58fbb09a, 0x39162b95, 0xcdec0252, 0x69240e04, 0x293bd125, 0xa2a1d09f, 0xd656e94a,
+    0x0cf9c390, 0x16250031, 0x0716b64a, 0x0c89fafc, 0x1661fa0d, 0xbd765a73, 0xa724b868, 0xb9a67d30,
+    0x4637f9f0, 0x8a5fd01a, 0x4163a1ac, 0x0c28845f, 0x0d58ba1d, 0x16b6d349, 0xbc2a6360, 0x6de7841b,
+    0xaf9c2294, 0x8f989ab4, 0x0ff721f8, 0x34bc7fd5, 0xc6c84eea, 0x97eddf01, 0x75449631, 0x771d0f13,
+    0x60cad467, 0x67f70860, 0x41bcd91a, 0x39f400fa, 0xb674782b, 0x5f28d149, 0x0526ef10, 0x94586ae5,
+    0x36f83a15, 0x574d89aa, 0x9e62bd35, 0x39d6b0d7, 0xe642def3, 0x50e24388, 0xf32799cf, 0xd986a732,
+    0x66d5edae, 0x7dd4a90f, 0x8334957b, 0x694a1166, 0xac8ff4ff, 0x19bcd098, 0x7ee795b2, 0x7e48cb8e,
+    0x81a8724e, 0xbbf07c8e, 0x70ecf387, 0x113832fa, 0xa4c481c9, 0xc42e2f06, 0x3b3e954f, 0xcc61ec9b,
+    0xd5d3d7b2, 0x7c7b1c9a, 0x983d795a, 0x6324c120, 0xbe43f58c, 0x3aa5df3b, 0xfc459557, 0xfeb55234,
+    0x34516025, 0x1e1afd67, 0x4799884a, 0xe0787aab, 0xa21bcb2c, 0x0356fc2b, 0x5967a7f5, 0xa3be2ee8,
+    0xa1f16107, 0x9f78ea08, 0x156b2618, 0xbab0dc3d, 0x956ceac1, 0x6a3711ba, 0xb14b703b, 0x402999dc,
+    0x647665c9, 0xa881c455, 0x7912441b, 0x35ad9544, 0x7ac75897, 0xc5de21e2, 0x6c656b47, 0x3f8fe66c,
+    0xb8b79600, 0xafed43da, 0x2bc9cbb4, 0xf19f6b34, 0x2b8b4383, 0x828c92f8, 0x60efad6b, 0xa87a0fac,
+    0x49f5e8b4, 0x7365b795, 0xc96639fa, 0x905d6c16, 0xcf3596d8, 0x9c03bf8a, 0x690746be, 0xb39c25e8,
+    0xd610c271, 0x3e5bf528, 0x0b6b0c95, 0xb591f38f, 0xfe65a8a8, 0x520c5526, 0xe35d06dc, 0x07513b57,
+    0xacb354e4, 0x5cc55689, 0xf3b074e2, 0xa2275630, 0x31b457be, 0xcd403c26, 0x57d83bb5, 0xa7c0c821,
+    0xb7d4d41c, 0xcc9d2315, 0x63505eae, 0xec14a341, 0x024f1f09, 0xb83290ee, 0x2f9c3ac3, 0x722e0373,
+    0x6b4cda36, 0xdc48fb55, 0xe05d59fe, 0x61d7c753, 0x681860f2, 0x9a0d9964, 0x7a50090a, 0x17adf447,
+    0x49abe920, 0x1a06ea2f, 0x17143a95, 0x482c4cd8, 0x8722d859, 0xcd5660c9, 0x1c787d1d, 0x01d62a5a,
+    0x5b863e4a, 0x7236ebb1, 0xb5fe68bf, 0x7e4091d9, 0x5f23c9d6, 0x17521092, 0x70398620, 0x87ae9371,
+    0xa7f4ff9e, 0x7ee60b7e, 0x2361e7ff, 0xb59bcdf1, 0x9a1a8e1d, 0xe6beb312, 0xbdab28f7, 0xddf468c9,
+    0x6ca69239, 0x73809b3a, 0x7d3fae3e, 0x2ea07a9b, 0x33b10fec, 0x87b32244, 0xca952289, 0x04172d94,
+    0x571df0a6, 0xfc764aa7, 0x993dc3f0, 0x0bc66d6d, 0x2528c0b6, 0x5fc5a67c, 0x6c8bae3c, 0xf3aadb46,
+    0x11848eb0, 0x4b5600e7, 0xc7dd5d44, 0xd16a5dbe, 0x4a598f6d, 0x5b70dd56, 0xc11bdfd5, 0xe4e0b8ce,
+    0xc5cd7fe2, 0x23a946a2, 0x21fcdaa0, 0x087ba1d2, 0x253eb9e5, 0x2785e9dc, 0x1aa7338e, 0x67f917d2,
+    0x63ef075a, 0x4308d2c5, 0x26b14612, 0x36c2f370, 0x71acb6b7, 0xc1ce52c6, 0x82cc18b7, 0xcd57265f,
+    0x2b7601f5, 0x9fba73ab, 0x53eb3341, 0x3f9a7eb0, 0xf48dc4bf, 0x5d2d7643, 0xcbbab427, 0x05c24694,
+    0xd524c919, 0x47a63343, 0x991b98c5, 0x40d08933, 0xb86d0391, 0x4c23671b, 0x11328493, 0xa566fc46,
+    0xecdb41fd, 0x6a60bcc7, 0x5a8e1471, 0x1029ffb4, 0x8a0c3a56, 0xd49626dd, 0x43d126b4, 0x5f072e05,
+    0xedd9eaa7, 0xb8d9b890, 0x2752dd37, 0x2c263ca2, 0x57b5801c, 0x83e2427b, 0xacf7fe76, 0x5c58a8c5,
+    0xbfb78b7c, 0x232bc396, 0x8aad5860, 0xf94e2209, 0x0b766610, 0x4f970e8b, 0xb9c8db91, 0x0b47f0b2,
+    0xf9aa9842, 0xef955017, 0x959384d1, 0x48ae5859, 0x4960d849, 0x136b4c9c, 0xcabcf171, 0xb7912470,
+    0x856d9e49, 0x417ddbf6, 0xf908089d, 0xce4d397b, 0x942f0fb0, 0x44f3619a, 0x40a8bff8, 0x8ea40c09,
+    0x4f27facd, 0x39ef1761, 0x660d45b6, 0x5d141f43, 0xad69e0b6, 0x0cfa6d29, 0xd7cb3f9c, 0x2ea69230,
+    0xfed12e1f, 0x547d6fa6, 0xcf5d29f4, 0xe062f37b, 0xda36d87b, 0x01aa19c0, 0x167efc49, 0xc0c3c533,
+    0xd0d89ba6, 0x93033f9e, 0x2f59e605, 0x663f3898, 0x4053b479, 0x44a66b16, 0xc17e93fc, 0xe6940ebb,
+    0x16778e43, 0x6dfca5e5, 0x4163f5c0, 0x6efeb483, 0x47dd866a, 0xe9df8cc4, 0xff2c1498, 0x9e459080,
+    0xe0822826, 0x940029cd, 0xe83b4792, 0xb72669d2, 0xbd856b7a, 0x633017b1, 0x131f0d88, 0x4ddfd440,
+    0x5368f533, 0x062dbb2d, 0xb0ee730e, 0x3dfe6bee, 0x7580ad35, 0xfe4f84bc, 0xfe3d9e9f, 0x7d742a08,
+    0x0a0bd94a, 0xd65cb2af, 0x87a304ec, 0x65a3dd00, 0x46fd442a, 0xcc897e0e, 0x5ac47f55, 0xd23098f3,
+    0x415e7b96, 0xec71781b, 0x4932ba74, 0x1555a00e, 0x8f5d5f74, 0x6f8365b9, 0x823680cc, 0xcb637647,
+    0x12f5f18b, 0xaffd0ed8, 0xbbdd7887, 0x6fc2a4ad, 0x6c909c8a, 0xa7bad2a1, 0x8ff7a03b, 0x347f4516,
+    0x167c7a4c, 0x76c99251, 0xae3c13f6, 0xb389d572, 0x8dde9bc6, 0xb371b0ff, 0xa380893d, 0x5c039ab2,
+    0xbeef8ef7, 0x1b9897e2, 0xd35df71a, 0x03c20282, 0xce644391, 0xe963f7e9, 0x7adb7fac, 0xc8b7b221,
+    0x0b381214, 0xa651501e, 0x624feea2, 0xab3a2964, 0x829c4baa, 0x7bbab7a7, 0xa8727aea, 0xabc45465,
+    0x6fdd7cc7, 0x8e6efd2f, 0xcbdfff18, 0x24cf3b49, 0xbf084902, 0x854f741c, 0xf31f47f9, 0x95b0c521,
+    0xbd477ef8, 0xe05c001b, 0x4398da5f, 0x6aec3265, 0x3b529a67, 0x96485e4d, 0x7cd7f8fd, 0x6d6ceae9,
+    0x272dc929, 0x478af4aa, 0x3cb0f786, 0x8e45b434, 0xcb1d8a8b, 0xabcd33a2, 0xde3821a9, 0x2b1ae718,
+    0x6b012c4b, 0x91f9abc7, 0x3a54f542, 0xac44340d, 0x663581df, 0xbfebf4ae, 0xd5bacf2b, 0x4cf9d324,
+    0x64ce2aaa, 0x9f57b0bb, 0x7225b4e1, 0x404aada9, 0xb279557c, 0x320a1b8e, 0x3abb82b4, 0xa7250b95,
+    0xfc6926e3, 0xde4049af, 0xfdbea2c5, 0x54f4add0, 0x15a151bc, 0x7d73c98f, 0x3d54597b, 0xcc7c3ea2,
+    0xabb0ef49, 0x4f580ba1, 0x93dd069d, 0xcb3296d5, 0x19d70602, 0xa2d1e146, 0xe338db4b, 0x684e0ffe,
+    0xef1efd7f, 0xf7583e4c, 0xbdc96077, 0xd4d0e0b5, 0x45a8a77a, 0xda80a228, 0xbbdb23d9, 0xee1a7dfa,
+    0x9661cadc, 0xea0882f7, 0xa2f6b425, 0xc9f7d48b, 0x162e42bb, 0x0d02062f, 0x25654c56, 0xbc4c3380,
+    0xa0e869b1, 0xb9baabc8, 0x402b0060, 0x8cf301f8, 0x1c831762, 0x97ba0af8, 0x909af24d, 0xac7b9b1c,
+    0x59988c01, 0xd2845875, 0xfd46e2ba, 0x64c29264, 0x89bd9d52, 0xa339cd3e, 0x17ef3cef, 0x2c280988,
+    0x05b79826, 0xffed6a70, 0xe2b874cf, 0x9fa94787, 0x89c78915, 0x855efb34, 0x8c79ce1a, 0xef5797fe,
+    0x09b3768c, 0x3166279b, 0x83b7ea73, 0x1dc61369, 0x9dd08b6e, 0xf802cd88, 0xcd28b2c3, 0xa249d7f8,
+    0x78bea006, 0xc4c420d5, 0x000d4ed1, 0x0e24c5c2, 0x7363424b, 0x8807edc2, 0x4a5825f6, 0xea4abe71,
+    0x00000000,
+    0x5b9254de, 0x721314ac, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000001684996666696914987166688442938726917102321526408785780068975640576 */
+  { 0x00000000,
+    0x46e4d531, 0xb869f6f4, 0x7e9cabc2, 0xa4ae04b8, 0x8116aec0, 0xd0e3d171, 0x18879fa6, 0xb95a9fa5,
+    0x2ba12a3b, 0xc40324c0, 0x44ad6239, 0xbed4c6da, 0x4923e418, 0x0e72191e, 0xa8710715, 0x2766a42c,
+    0xf77ce4b2, 0x3a1971e1, 0x5ccba5de, 0x6625c7c8, 0x92e5c4ad, 0xa669341d, 0xfdc16471, 0xcc4dc9d8,
+    0x2c08e79a, 0x544080cb, 0xf3b7df29, 0x32e54d32, 0xb704c8a7, 0x6303296b, 0xf19aceb2, 0x63d5a677,
+    0xb3278c71, 0x7d555b17, 0xd6b04854, 0x1c449a73, 0x18d8b6ba, 0x270f3997, 0xe5897a86, 0x6eff6ede,
+    0x04a5974a, 0x013f36e5, 0xf0dd4b2d, 0x87d27f9e, 0x5326dacd, 0xf7e36a0f, 0xc8bb4407, 0x4ee02d7e,
+    0xff5e5834, 0xac5dc7b3, 0x724846e0, 0xd547c071, 0x341cf244, 0x83e87dd3, 0x599691fa, 0x88239614,
+    0xdc27ba1e, 0xb9932b7b, 0xdeaad0cb, 0x02c565c8, 0xdaa7741a, 0x5375110d, 0x6a2e25e6, 0x196055db,
+    0xa7555f62, 0x12204ca4, 0xac35bfe1, 0x6d6723fa, 0xccfdeea7, 0x9b504d4c, 0x4372edf4, 0xfe3d45fa,
+    0xd586be5a, 0xa08cb78f, 0xbc93b2e8, 0x381de923, 0x0e6db026, 0x0f154a1a, 0x9c9693ff, 0x40d67054,
+    0xf9fb138e, 0x2d500aa6, 0xe35ae8b1, 0x55c2b1b1, 0xacf21db7, 0xc3a748fd, 0x1b0a4692, 0xb490fb42,
+    0x3b6aea3c, 0xc6bed58a, 0x20abf3aa, 0x6f93622f, 0x1b5e5a22, 0xc0fde3cf, 0x1d83daa2, 0xfd9dcc42,
+    0x65e13b76, 0x7eb4c71e, 0xd57b0415, 0x08420703, 0xb41358ab, 0xfbba1f15, 0x3eddfc13, 0x42407bdb,
+    0xaacb0480, 0xd2f232e9, 0x2dbf323e, 0x415f4910, 0xc072b1e9, 0x5163aaba, 0x4c21e78c, 0xdd7ac65a,
+    0x6845371b, 0x58e46ffc, 0xbb4bb819, 0x542e5ec9, 0xf3bb8474, 0xd16661a0, 0x06af6453, 0xf3bbe9e4,
+    0x1b255cb7, 0xfcf20c2d, 0x1cc2be2b, 0xb45ca21c, 0xae3ba1c0, 0x7bd5984c, 0xbf44ac93, 0x900c7d7b,
+    0x137c4813, 0x374667a6, 0xf8aa74d0, 0xb0d2af1b, 0xa17faf57, 0x5bf6a8c6, 0x208e3604, 0xa9526091,
+    0x89894c8f, 0xb7e5514e, 0x8b65e6d2, 0xd97f9d5a, 0x8c251123, 0x3e0f1327, 0xae69eba1, 0x402460e1,
+    0xf018cc33, 0x8f622a92, 0xe556e001, 0xf0ad4dea, 0x3e35cc20, 0x0cb530e1, 0x7928dcca, 0x52b2b7c7,
+    0x20d9c103, 0x2c460fac, 0xf09b3536, 0x924db54d, 0x1363f271, 0xdc4f0b6a, 0xf3b1e745, 0xd7f6fbfc,
+    0x68ddb341, 0xd6a87559, 0xc66280b3, 0x7a880c11, 0x46c75bb1, 0xcbb672af, 0x8a1c8093, 0x0eb0ff22,
+    0x04bd181a, 0x4e374dba, 0x1e0df93d, 0x7d042cc4, 0xc962d5b1, 0x64eef6c6, 0xeafc26fe, 0xc21189c9,
+    0x6ca2187f, 0x4c82564d, 0xdf190571, 0x5c4212f3, 0xe25292f9, 0xa0e6d9b9, 0xaab143ff, 0xf666a499,
+    0xc924d4d2, 0x73bbbd1b, 0xb826d9fa, 0x2c2c514e, 0xd3b37b18, 0x9d27eeb0, 0x0a743afa, 0x03290c39,
+    0x250382f2, 0x6a87dd11, 0xc3bb2e07, 0xf0094201, 0xdb0543f7, 0x6ab2f3e5, 0x1fa74504, 0x4b3b9eb6,
+    0x2f0b2fd7, 0xc8aeb89b, 0x331e9c8a, 0x25ad3636, 0x5c5d5bfe, 0x5ee77c9b, 0x72bb4e8d, 0xba48b36d,
+    0xfa80ee58, 0x3e23beb1, 0x03d1bf3a, 0x8fd3d920, 0x95918507, 0x544bae5c, 0x0abbd56e, 0xada3189a,
+    0x47753e4e, 0x7db83d60, 0xf5fb88e5, 0x7ab5c7c3, 0xde801266, 0x0967e0a7, 0x7dfec704, 0x69524088,
+    0xcfc89cc4, 0xbfb32dcc, 0xcaa56c7a, 0xe105aa06, 0xa47df741, 0x26052a1d, 0x9a9ac3f8, 0xff327511,
+    0x1d36a1c5, 0x4e0e7413, 0x14ea88c3, 0xdb202411, 0x09672193, 0x0126b24e, 0x8b1cf21a, 0x89781550,
+    0xd5a6bb2c, 0x58c0239c, 0x77978b02, 0x1f78731a, 0xf35819c4, 0x0f9a4a08, 0x02e0a71a, 0x4842c0d6,
+    0xa2375597, 0x8a6025b0, 0x815f3e3b, 0x2ebc3ce5, 0x9ee79d8f, 0xf30d2889, 0x7fad3d5f, 0x280c479c,
+    0x2853ebb2, 0x1556f029, 0x485fc355, 0xa5bedad5, 0x783b42a3, 0xb179fed0, 0x3d7c8bd2, 0xfd431752,
+    0xf94877fe, 0xcca393ec, 0xd74bccb8, 0x88eb0210, 0xb55a14d1, 0x6960dda9, 0x6ff5c9a4, 0x7a0feb5e,
+    0x0503732a, 0x3eef8c13, 0x27f4bf45, 0x18046ab2, 0xe481f265, 0xad3be6b9, 0x4f93c8cc, 0x18116da3,
+    0x9ae5506f, 0x869631dd, 0xc402977d, 0x308fe0ba, 0xdf08d2b8, 0xcf308a89, 0xc7013e74, 0xedec2be9,
+    0xd46bb4d3, 0x4c30495f, 0x7243cb0f, 0x9a8e3c82, 0x51b113de, 0xfae56df6, 0x57c85e76, 0x53164bd2,
+    0x7bd2b0dc, 0x0b1de0d7, 0x55bd7cef, 0x8c869c5e, 0x47a0bb3c, 0xe7eda6ef, 0x091034f0, 0x17e9bbaa,
+    0x2b0e3f2c, 0xedb4d531, 0xe53e2cd2, 0xd54cef88, 0x374070ab, 0x6cd930f0, 0xe468f6f3, 0x6f366024,
+    0x8ac254f3, 0x9cb3372b, 0x341f3ca9, 0xd582a5e1, 0x7a827841, 0xa48c8316, 0xdcde346f, 0x9c7a5f8a,
+    0xaf4f31e9, 0x49cdf9fa, 0x82546e29, 0xf61b7bef, 0xf3832253, 0xa68d10f6, 0x2e41bf90, 0x1f695720,
+    0x7f26532d, 0x3e199bac, 0x723a820d, 0x82ee047c, 0xad09a692, 0x0c7bc638, 0x66db14fe, 0x438b2c23,
+    0x770cb86c, 0x3e3eb298, 0xf46fc301, 0xda8110dc, 0xf37a68c3, 0xbc6cc9e8, 0x833406ea, 0x9d395113,
+    0xf12b39b7, 0xb2695722, 0x3b4ee2e9, 0x5018f62f, 0x10086708, 0x4156026f, 0xbde88670, 0x1f64c5c8,
+    0x7c1e21e9, 0x0f7971f4, 0x270e2100, 0xdbfe8de0, 0x57b40ba7, 0x9d0d1801, 0xe5bed711, 0x5bcef8db,
+    0x4554b8f5, 0x8ad2ef66, 0x1775edaf, 0xaef45eb7, 0x94908553, 0x9cce3459, 0x71d62eb4, 0x86f73cc9,
+    0x468c6258, 0x61593d0d, 0x7a427ca4, 0xe02639ac, 0x83d60887, 0xbe57cc73, 0xf442237d, 0xf125b5fe,
+    0x5573d227, 0x62cadcc7, 0x74e95b89, 0xd4706bcb, 0xd4678e34, 0xb3f788b5, 0x88a89489, 0x9dedbc25,
+    0xbe532eef, 0x9498b000, 0xac490c80, 0xb48dc9bd, 0x4480e7da, 0x99e5cfdb, 0x6859410d, 0x46cd218d,
+    0xd551cc66, 0x711ece51, 0xc19c4af3, 0xb88eed5b, 0xfaaeea9a, 0xa3afe852, 0x42beee76, 0x12888c5a,
+    0x285cf030, 0x35b575b8, 0xdc04e4e4, 0x468f88fe, 0xf1b0eec9, 0xbae05f2b, 0xa4e3301c, 0x0af00b1a,
+    0x865bb6b1, 0x1d629418, 0x8633bef8, 0x6e77f301, 0x0728d627, 0xecf6c133, 0xc9f5ec36, 0x08f35df2,
+    0xb4b65e21, 0x43e4d546, 0x100422b6, 0x79014f92, 0x839267a4, 0x74b81d71, 0x5f43e294, 0x876d9364,
+    0x95312a99, 0x75f79dd8, 0xea534635, 0xe0498be7, 0xde4a4e0b, 0x6ba77a5c, 0xa7a08cb0, 0x6b0afde3,
+    0x81996495, 0x430acc22, 0xe85bd3d9, 0xc1f32f0b, 0x29f6acc4, 0x40d8b5e3, 0x527fff48, 0xc9f6f65d,
+    0xd2af4b0d, 0x729a3d19, 0x9d8fd7ad, 0xc7a8fcbb, 0xc24f4c99, 0x6aab91ad, 0xd2e3cbc0, 0xfde8db8e,
+    0xd9e7fd8a, 0x2248ae41, 0xea375000, 0x37dfdc5d, 0x8d95e8b1, 0x650c25c9, 0xc271a3d4, 0xdc35fb15,
+    0x4a0759e8, 0x6a1c91c2, 0xb6b579c7, 0x95395987, 0x1a9755a3, 0x59f95f87, 0x83faad91, 0x18758ce3,
+    0xea4166cc, 0x4d342bd6, 0xe167cfec, 0xb213387f, 0x19ec6e03, 0xbd45d2eb, 0x61b2da77, 0x2c617e5a,
+    0x4a815301, 0x1b419a07, 0x7f7fbec4, 0xa5c53ee2, 0x6eb4c6f4, 0x8e10979a, 0xcaaab191, 0xd72b340f,
+    0x5c3593eb, 0x91b18082, 0x9dd3821e, 0x1b05dc12, 0xa6d38d31, 0x2a52d739, 0xe8cae0eb, 0x7af0e287,
+    0x5a48a4a9, 0x3f1b6b50, 0xfc01a2cb, 0x0525355d, 0x2ba64df6, 0x99802d4f, 0x3f69f11d, 0x4a3784ea,
+    0xeca1eeac, 0x5c38cfcc, 0xed2a2122, 0xe5aeb6c9, 0x66c8e6a3, 0x35dc512b, 0x1053c63c, 0x48840c5c,
+    0x7dabb983, 0xadc2e4ba, 0xafe06283, 0x58a024fb, 0xb27f96ae, 0x750a1dfe, 0x457bed54, 0x5e4a66bb,
+    0x7b3f5b40, 0x68db0668, 0x95db7087, 0x9c92a9b9, 0xc2e67509, 0xbbadf0f2, 0x9f2cc04e, 0x391cde8e,
+    0x5fed5d29, 0xcac4e73e, 0xccf93e10, 0xfab7a1ba, 0x9a6ec364, 0xd0778f6a, 0x57c372ad, 0x004ae007,
+    0x59a3520a, 0xccda76e0, 0xcc86b3a7, 0xa5968f58, 0x109b0892, 0x326222e2, 0x0214d130, 0x442c1b83,
+    0x7bc0d376, 0xb379038c, 0xfe11484c, 0x5c9be1de, 0x7077725a, 0x2fcbebff, 0x46d23a33, 0x72d3cae6,
+    0x93eacdae, 0x990a93e4, 0x9167dc78, 0xed3bb017, 0xac6c77cd, 0x26ee5a55, 0x3c82acd6, 0x6580ce7b,
+    0xc979935f, 0xc1f34916, 0xc9929af6, 0x3357b70e, 0x4b7ef8cd, 0x4fe2e69d, 0xf7081598, 0x93e240fa,
+    0x0a0fc608, 0xfcf8ab21, 0xeda980fc, 0xe6645a3c, 0x82263156, 0x73d411a6, 0xd1459b08, 0x46730067,
+    0xf8617601, 0x04174c28, 0xc0536959, 0xfe7780c2, 0x98a66680, 0x1b3a4c62, 0x0a2560dc, 0xaf69c280,
+    0xdc81a3b6, 0x6606ce8b, 0x9f503b77, 0x7d5feb04, 0xf2ac6f31, 0x80971bd5, 0xdf1be25c, 0xc49c9955,
+    0x6c8b7216, 0x70408707, 0xc6ffd3b5, 0x52826a18, 0x29e1e6a1, 0x69ee6bcf, 0x902c0e4d, 0x26377e88,
+    0xf876e239, 0x48de9682, 0x3e340af2, 0x78528a56, 0x1d0a9dec, 0x3dad0108, 0x46997b1b, 0x376a5bac,
+    0x7fe093c1, 0x63602ce5, 0xaca1c65f, 0x063286f5, 0x68963617, 0xa3f11551, 0x67daf3be, 0x0ca402c4,
+    0x148f95b3, 0x5b3ec1ed, 0xac88dec2, 0xbe9d5d83, 0x595456e2, 0x65c1d0f5, 0xe7bc46f4, 0xa8e8c955,
+    0x95a08d90, 0x8133ecff, 0x7b1cdafd, 0x962cd02c, 0x53edf504, 0x455c09fe, 0xd7eb7954, 0xda4dbe4b,
+    0xbdd619a5, 0x77746194, 0x00375b71, 0x46095c0b, 0x16c98f04, 0xa8c2912b, 0x5150dde8, 0xa4f2a714,
+    0x63f4f741, 0x2994b40d, 0x574ef608, 0xa2168a6b, 0x18204149, 0xc8bf3454, 0xb3f86f59, 0x224da67b,
+    0x765d5ba9, 0x97584227, 0xb46e45a4, 0xa427da81, 0x7b33ef2c, 0xbd5fe35d, 0x31c04560, 0x8f98b3cf,
+    0x61f25214, 0x55751204, 0x7775c27e, 0x74571331, 0x17a20801, 0xcb7ae0d4, 0x7e12d470, 0x54189e0e,
+    0x1b466738, 0x79663acf, 0xaa98fbb8, 0x3ad87a66, 0x2fb506a9, 0xc321e289, 0xf26b76ea, 0x44a3e732,
+    0x36d4f25b, 0x708a41f8, 0x15b7577b, 0x36d50dab, 0xe9d50ee7, 0x3e41e855, 0xf22005a0, 0xc562b14f,
+    0x2ae23aa3, 0x3ee14a11, 0x14c2be46, 0x1712b75e, 0x8e0f9bd5, 0x99a9aca4, 0xe70a32cb, 0xab3a0a02,
+    0xeda34b00, 0x9a85960c, 0xe4610160, 0xafc31c75, 0x3398c9ba, 0xdc1aae2f, 0x95cbdbc0, 0xa6ce8294,
+    0xf7ecbeaf, 0x8b858771, 0x56b89269, 0x80f29eac, 0x1d5d607c, 0xbdd3798f, 0x0a056324, 0x16ed837a,
+    0x3246ce82, 0x6db453ae, 0xf04cff49, 0xbf376875, 0x83887748, 0x3b4665ab, 0x0aef24ec, 0x9f5b4f9b,
+    0x48e37883, 0x579b533c, 0x883411b2, 0x7e671a94, 0x7f962d0e, 0x0e358c13, 0x0acaf8eb, 0x58f97bdd,
+    0x9deb8fc1, 0x22a3ec30, 0x15e8b9f8, 0xa9e7ae73, 0x8dd03fe6, 0x850a0092, 0x75d373da, 0x5662635b,
+    0xe9710725, 0xfff221e4, 0x0fd46edf, 0x4df7f918, 0x42f93d28, 0xe30b79dd, 0xfc1cbff2, 0x3a379977,
+    0xbd642a35, 0x85c4533b, 0x8bed491f, 0x19537bdf, 0xa279b808, 0x11f601a7, 0xc71e557b, 0x754d8a0d,
+    0xf60df114, 0xd0d0d57c, 0x28c73a60, 0xc5d0a9d3, 0xad498237, 0x7d2240b8, 0x20329323, 0xb87e5774,
+    0x08fcf692, 0x60bab795, 0x30de9917, 0x5ccf3206, 0x8887a5fd, 0x1e70a4a3, 0x2bc211ec, 0x512c6d69,
+    0xe33c43be, 0x2d27eb41, 0x19cb1f26, 0x9b470504, 0xb68c4f15, 0x64781178, 0x685fe3b5, 0xc95b7f42,
+    0xed05c891, 0xf7400c3c, 0xa312eaba, 0x49dc855c, 0xca9a3a67, 0x2686145c, 0xe5198e2a, 0xf527efb4,
+    0xfeb9c2bd, 0x6e2bf5f4, 0x1fb9d2a7, 0x7ffbb522, 0x691547d3, 0x8dd13f81, 0xfae2dc9f, 0x38c2ec83,
+    0x980948c6, 0xd546502a, 0x9727cdd4, 0xe51168de, 0x49f7bf82, 0x8597c2ff, 0x36ebdaaf, 0xb43ba93c,
+    0x0decad52, 0x83e7253f, 0xee186afd, 0x4a34ec5b, 0xb85a3890, 0x42e7881e, 0xa108a1ac, 0x29753569,
+    0x36fa51cb, 0x7abaf27c, 0xfa8c3754, 0xc93dda30, 0x685b184f, 0xbd94b85d, 0xaaf4ef07, 0xf06393ea,
+    0x7fa0a201, 0x463006f8, 0x51a97727, 0x652c64a9, 0x0bb3d509, 0x864f91f4, 0x38912b08, 0xbdc0ac40,
+    0xa7f46ec7, 0x3300e8bc, 0x65b84efe, 0x64267d0a, 0x5e4c5af1, 0xf28d5a4c, 0xabd4083a, 0xe4702977,
+    0xacce7bfa, 0x011c2823, 0xa3ddb4ea, 0x0f91b5c8, 0x631adb85, 0xc170f74a, 0x414ca1dc, 0xc966f7dd,
+    0x5ad2fc17, 0x3f855157, 0x8aee2ee8, 0x952fbd81, 0x3cab72c5, 0x42019477, 0x4fadea21, 0x0195d85e,
+    0x72d03083, 0x0281176b, 0x42f70768, 0xfe6719fa, 0x28b9d29e, 0xed90dfc6, 0x167430f3, 0x105b4b85,
+    0x7a2260e5, 0xa1878875, 0x6741a241, 0xc248fbad, 0x0a33290a, 0x7085ed3f, 0xfbffb4a8, 0x72a7c99c,
+    0x60ca26dc, 0x2d27f50b, 0x95ae244e, 0x1e35ae7e, 0xd173d4ea, 0x6026340a, 0x9a8145aa, 0x636f4c46,
+    0x5599157c, 0x6349cc98, 0xbf8f7ced, 0x5d4d48fa, 0x01ba463c, 0x13335382, 0xedbd8216, 0xdc2cc298,
+    0x009b78c2, 0x16c8652a, 0xcc531d0a, 0x60992f57, 0x2c066137, 0x9beccb5b, 0xa9f66653, 0x4fdd04a7,
+    0x11eebba7, 0x689a85e1, 0x0bb012a3, 0x718458de, 0xbbc4f333, 0x0c3cdac6, 0x70d4dbf4, 0x416677fd,
+    0x497b2c8e, 0xc8e042c3, 0x2d98ce65, 0xfeb4b438, 0x07196d33, 0xb884e981, 0xe810b3df, 0xf61dd91f,
+    0x3020b564, 0xd64c20d6, 0x87231fd6, 0xdf264e8e, 0x3da9ffc2, 0xb333945a, 0x648e5757, 0x8fe1869d,
+    0xf53bb26e, 0x0b9fba5c, 0x8ede6628, 0x1ec5e05b, 0x6f66b8df, 0x1b7315e9, 0x425ad6d7, 0x7da96361,
+    0x22d6186f, 0x6aeb5375, 0xc189ab34, 0xed1ee9bd, 0x5e6a8131, 0xefaec9b4, 0x715c8ac6, 0xd4155ce9,
+    0xa2d0960c, 0x92f95fc6, 0x3df7088f, 0x8d32bbea, 0xf2648920, 0x0520f200, 0xd6a054fa, 0x13a7776d,
+    0x3314ca23, 0x7e26b37d, 0x0dc67aa7, 0xda0de018, 0x281e6ad4, 0x27a87c45, 0x3c7b24fc, 0xc098a9e7,
+    0x9ab877cc, 0x6240a42c, 0x710918a4, 0xcb506f36, 0x06d60473, 0xb7ec5ff2, 0x83c76d96, 0xbbcdeff3,
+    0x80d82bc0, 0x24d01792, 0xa4965660, 0x9048f683, 0x83c3c4ab, 0x48db444f, 0xb6058b88, 0xe34ae701,
+    0xaeaadbe8, 0x0e25a1ea, 0xe09138dd, 0xe2f9a12b, 0xa03f1f95, 0xa90376f5, 0x17fae608, 0x83d792f6,
+    0x392c9dad, 0x94690fbb, 0xd8b5f2f1, 0x796a69fd, 0x07f20e22, 0x0a1a59d9, 0x04bb2694, 0x863b1e3d,
+    0xac74cafc, 0xbb0da52a, 0x7b28a5c1, 0x9c65c7c1, 0x88329c69, 0xc39a4b6d, 0x8c9e52df, 0x1fdb0555,
+    0x7af99578, 0x3dfdddce, 0xc2028dba, 0x3958e3e0, 0xf77024b2, 0xfee1000f, 0x7d7b60aa, 0xd327d023,
+    0x750539ba, 0xdcc0b37c, 0xfe5d951e, 0x1a796556, 0xe5e31089, 0x46eebb35, 0xc0e801ae, 0xd3fe60c4,
+    0x972579dd, 0xf38e7feb, 0xf4a62955, 0xb4ffe0fc, 0xe53d0f2f, 0x7ed0d60c, 0x6432bc71, 0xaca69b4d,
+    0x88724b43, 0xc3541069, 0xd1a0a507, 0x6f59cd3c, 0x841c2d31, 0x9e402dab, 0x7502602d, 0x39598925,
+    0x26d6e65b, 0xd4596a82, 0xa81c3be1, 0xc7925514, 0x7c216d97, 0x05abc0ad, 0xb3e8a1a3, 0xf4e7d432,
+    0x00000000,
+    0x2dc92a6e, 0x39098a56, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000842498333348457493583344221469363458551160763204392890034487820288 */
+  { 0x00000000,
+    0xbde23952, 0xdf35b44a, 0x6a4df662, 0xb3279d9a, 0x081e9ad6, 0x824bbb3b, 0xc2e4e40b, 0xfa256c9d,
+    0xb615a774, 0xdcc3874f, 0x8fdb3884, 0x2a2b0ebe, 0xc3f7b052, 0x2594c6e1, 0x5c653fcd, 0x212585e6,
+    0xd9fb16b3, 0x28a5b407, 0x9071b074, 0x018009f0, 0xa93b7eea, 0xf0262236, 0x2c748cac, 0xfb194379,
+    0x17e46c6d, 0x9ac62a48, 0xcd323a0f, 0x1944ed9b, 0xf18828e3, 0x0b61922c, 0xab068c9a, 0x500df630,
+    0x97ec0465, 0x059eb126, 0x1b4c50b5, 0x2219934f, 0xa4e791a7, 0xda1705aa, 0x01116433, 0xd2f5f17c,
+    0xc1cefd6f, 0x96635280, 0x99c19929, 0xfd73a9e8, 0x4ab6067f, 0x2d95ee89, 0x17ef8d4c, 0x966089e5,
+    0x1975714e, 0xb82c0563, 0x0ddffbbc, 0xe775989c, 0x831c5923, 0x0bea66dd, 0xe814d674, 0x21b156a4,
+    0x6b0f7820, 0xd97628dc, 0x0628283e, 0xc5e270a6, 0xac99528a, 0xe77f88ca, 0xc6038e37, 0x428bfb28,
+    0x79a031e9, 0xd8025654, 0x4f7d01b4, 0xa8616afa, 0x328e4935, 0xc309512f, 0x9dd4174c, 0xa63c86f5,
+    0xfd9a6121, 0x67b39708, 0xd8fe8e7c, 0x429bfb59, 0x15a8c4ab, 0xde22cbf6, 0x084102b7, 0xec877bdb,
+    0x2b06181d, 0x3f6c0d68, 0x036705ee, 0x79cfa4cb, 0x2b569e72, 0x8f4d5370, 0x44df3d26, 0xc6936d62,
+    0x6338ec43, 0xd1db9fcf, 0xc6cefd6f, 0xb8ecf81a, 0x7c5054aa, 0xb723b228, 0x25852f53, 0x84bbe3b7,
+    0xfa86290b, 0x33462c3e, 0xde76e323, 0x2b52278e, 0xbd489f80, 0x2d27684d, 0x99f548bb, 0xc69bb6ea,
+    0x56c5c43e, 0xbc46fad2, 0x4b0b0e6c, 0xe25cc585, 0x9ac98f60, 0x926e563c, 0x89c180a3, 0x13ee0555,
+    0x0c305bba, 0x76ced12a, 0xf74d0116, 0x24b47675, 0x527c6fae, 0x9118929a, 0x778ba37f, 0xb41f44c1,
+    0x1cf35bf0, 0xddcf0e2a, 0x4fdc38d4, 0x5b1791ca, 0x668e037e, 0xd737303a, 0x4c63d241, 0xdd0aa8ae,
+    0xbb47c783, 0xb00f7803, 0xaad92fee, 0x66c1d2ed, 0x1a2f2470, 0x8b42b0d2, 0xcef28f6f, 0x7b90b1cd,
+    0x510e0954, 0x80ce42f9, 0xa1008c6f, 0xa69c08e3, 0x29093b06, 0xaf3ecb4d, 0x59bd28d4, 0x6d93829e,
+    0xc4a6a57e, 0x5d4b9218, 0x9200d770, 0xd28ec8c3, 0xf61a7c39, 0xf18dacd8, 0x7cf8a7e5, 0x17ec724a,
+    0x9d628cd3, 0x284e2601, 0x3681a3f5, 0xb10b86fe, 0x1d90b82b, 0x1391e32b, 0xb0da6f62, 0x173623cf,
+    0x7b9fa9ea, 0x4dff2c03, 0xc4061021, 0x0634f26b, 0xa2c61f19, 0xed38b791, 0xa877264a, 0x64e1257e,
+    0x223ebb50, 0x1e7eed74, 0x5b51da94, 0xcc821804, 0x0b2aac8f, 0x4d9cd944, 0x45564602, 0x779aec8c,
+    0x95556ba6, 0x72d3bd89, 0x503be502, 0x7cfd5a42, 0x00c71c00, 0x1abbfd47, 0x30de2c9b, 0x73c164b1,
+    0xc6449e65, 0xd38e68d3, 0x2dea645c, 0x2ff42512, 0x38288c55, 0x039941a0, 0x5fd82304, 0x47fcc71a,
+    0xf6c69e24, 0xb6a70ffb, 0x6d40ff1d, 0xc78240a8, 0x5a362917, 0xdc0fc68e, 0x46e1f11e, 0x7d492d43,
+    0xafa77f20, 0x993d7c4f, 0xc275fcea, 0x48c11362, 0x9e17c3b8, 0x43e6f558, 0x10738257, 0xdbd55442,
+    0x8f7c6571, 0xfcbff50e, 0xbdb0d46e, 0x4470636d, 0xf823682f, 0x8aa56873, 0x00c5638a, 0xf77f85ed,
+    0xf61be80f, 0x3c47452b, 0xd43d8067, 0xfd25850d, 0x51fe322e, 0xb62c824a, 0xde7817e1, 0x8a6c8ed5,
+    0x982b3641, 0x01cf0b46, 0x72cf2be6, 0x0362ec48, 0xea98ea56, 0xbd76b8b8, 0x5ae48a0e, 0x2d248c10,
+    0x190409cf, 0x1b086753, 0x9820c634, 0x46a0fe9a, 0x9ed7e719, 0xc35623d0, 0x177589b4, 0x3760415a,
+    0x35c88198, 0xdd9a7d40, 0x9faab46e, 0x31e25f08, 0x73b4b825, 0xd2455f28, 0xe41eda10, 0x91d3cfb4,
+    0xc5b69f11, 0x0ff0bb4b, 0x35f73418, 0x27c30ed2, 0x072edd25, 0x8dc45716, 0xbcc48ccc, 0x2f50f645,
+    0xae7d2c2d, 0x90b2e836, 0x97b3b729, 0xcaea2f40, 0xa2e20d60, 0x3ff4dc90, 0x4ff6c7c8, 0xb529d0f9,
+    0x8416b952, 0x8a8ceed1, 0x840c52d8, 0xe89eaa28, 0x7e1a2cb3, 0xf2b0c62d, 0x4ff25764, 0x2c5a45b9,
+    0x72164264, 0x75574b59, 0x9d199cbb, 0x4d0aa9c9, 0x9e05513c, 0x7ce37590, 0x0335528f, 0xd41b03e8,
+    0x36ab2ce2, 0x64f85424, 0xaf959c04, 0xf300efc4, 0x5780a686, 0x30f5c87a, 0x77a6a810, 0x8c790701,
+    0x1c3b9271, 0xb9fd312f, 0x2bfaab8f, 0x3e9061a8, 0x6077ff4f, 0x416ad6ea, 0x6e468952, 0x1a13b216,
+    0x29595355, 0x353b6460, 0x92bd2971, 0x7aaac25b, 0x7f1315d4, 0x353a47d8, 0x8ba47139, 0xf1038fb6,
+    0xcb770cd9, 0x0064495c, 0x2bb2306f, 0xc9b70945, 0x26e46087, 0x20cd1e57, 0xec432df3, 0x5992b77d,
+    0x972e7619, 0x010d80c5, 0xeece5e03, 0x4348ed7e, 0x6e4cd34e, 0xa52dd39a, 0x4c74023e, 0x9d57c1c6,
+    0xe5a7e4ac, 0xcf96592a, 0xd310fcd3, 0x2d0708ea, 0x18258b5a, 0xd17b0bbc, 0xb8ee834c, 0xd69fcbbf,
+    0x3251f05c, 0x4d740431, 0xaa9af97e, 0x2d7cb805, 0xee2c4523, 0x77aa342e, 0xd6cd40e6, 0xa52ac0d2,
+    0x78f47e05, 0x130046bd, 0x5570ca90, 0x50b0955e, 0xf6074c35, 0xbba98a3c, 0xbd3bab69, 0xa54045ae,
+    0xa9b3c51d, 0xd6d1357f, 0xdec27419, 0x1e479078, 0x9fcc78d9, 0x938bad7b, 0x384f417f, 0x41c68960,
+    0x7cf710a9, 0xc1877b59, 0xd75e93f9, 0x443b2448, 0x53f4b16a, 0x1a8af868, 0xe282d76e, 0x8cd9ae26,
+    0xc76f745e, 0x1f42b7c4, 0x524f79f8, 0xf9593cdd, 0xddbe2cd0, 0xdd7ffd29, 0xc93fa94e, 0x2592d786,
+    0xcfc92cef, 0xe57b3ece, 0x8fe39e53, 0x1c04d80e, 0xb891ffb8, 0x42ff8a3d, 0x8e2266e8, 0xf16c90dd,
+    0xcbf5e236, 0x00a663b4, 0x5a869994, 0x86812d15, 0x6fc94f89, 0x5cd6b8ab, 0x09960e95, 0x3536c244,
+    0x68ef07ec, 0xe02a4004, 0xe2ed3c2b, 0x23748e03, 0x20ae91fb, 0x8263e9b9, 0xe2fbf9c4, 0xee8d8359,
+    0xaf6ec706, 0xf416d65e, 0x0b30dc09, 0x7ed99c21, 0xb1564718, 0x5ce9461d, 0x7b33220b, 0xb8fda870,
+    0xa17dadf4, 0xc277b661, 0xd858e43d, 0x1ceb6180, 0x620d6981, 0x01fc91ef, 0x1acfc17b, 0x876532cc,
+    0xc68a075f, 0xbba74f3f, 0xb8c36032, 0x0f7b6ba7, 0xdd0dcd12, 0xd34ff7a2, 0x718b365a, 0x6439ba1f,
+    0x542c82e8, 0x4be05d64, 0x3583708d, 0x1c660bd9, 0x1d28313f, 0x0fc12983, 0x2d11436d, 0x071631b1,
+    0xa641eaa5, 0x98c8d941, 0x6bb58f2a, 0x009af66d, 0xa8cdd959, 0x6ac0eaef, 0x7003ffa3, 0xb8380a31,
+    0xb3f12f21, 0x80dc1a60, 0xb08e6aae, 0x69b8460e, 0x42508d89, 0x2d8f8c0b, 0x9c63063e, 0xa3672d3c,
+    0x3affd908, 0x7fc976e1, 0x293aa1ee, 0x53b536b2, 0x6ef10bf2, 0x71512fa5, 0x44785d5f, 0x0ad0a8d7,
+    0x832aa299, 0x1b604996, 0x45689439, 0x40caba61, 0x6f56bbc8, 0xbb2b69ef, 0xded20258, 0xba288f09,
+    0x1b49198a, 0x62648e75, 0x75c0a1fb, 0x99e21e29, 0xa28b02b7, 0x01394093, 0x49c2a09b, 0x16f23c72,
+    0x25ac3757, 0xb795cd7a, 0xb5e9bf8e, 0x6bcd3b6d, 0x8cacecf7, 0x119b2df9, 0x7d23e996, 0x1bfe0002,
+    0x57dcb746, 0xae716d7b, 0xc5098328, 0xc8b3aacf, 0x7eef5ecc, 0x1dd9e1f5, 0xbe2df8a0, 0x6a6c7cad,
+    0x52ead8e9, 0xa8661643, 0x2fa417c1, 0xdb754b23, 0x50ed33e8, 0x6cfca6d8, 0x99fb9427, 0x77dce1d0,
+    0xbc4f4b9e, 0xbffd2973, 0x4eb0ed9c, 0x37d7c303, 0xc189fb92, 0x473814da, 0x3ad0ef58, 0x0d955ba6,
+    0xecb952e2, 0x781c3eb4, 0x0411f6b1, 0x8779ea3a, 0x8a93b7fd, 0x6dbbd391, 0x6722a430, 0xe0f46a34,
+    0x8df36cf1, 0x096e05fe, 0x767a2e72, 0x76e691e8, 0xcf7a48bb, 0x34f28d5b, 0x46118e0a, 0x30ee9db3,
+    0xbd0eaa1e, 0x2833f28e, 0x325315f2, 0x16186fe7, 0x256b9e9f, 0x7f2c0f14, 0x07463712, 0xb85deef3,
+    0xe14017d4, 0x62a533ca, 0x7e0ae2c5, 0xa8ff53de, 0xf4cf4696, 0xb942e995, 0x245d96f5, 0xeaaf189b,
+    0xe0164db8, 0xa89c7f1f, 0x8a6c4048, 0xb87c1345, 0xbf51c807, 0xb67b5d82, 0x1165e04a, 0x4ef51d71,
+    0xc26eca0d, 0x565aa157, 0x4b84ea7e, 0xf49a7739, 0x9ddc65ac, 0x3371fe77, 0x2108c8e6, 0x9144e67c,
+    0xdbd02fcf, 0x73ccf9c0, 0x931e871b, 0x1b38d3c9, 0xaa61b1f4, 0xed463689, 0xb1710bcb, 0x66ce3c9c,
+    0xd644a0db, 0xedde1dcd, 0x2ab5f589, 0x4fc4d6dd, 0xcaaddd3f, 0xa28be72a, 0xa8fa8aa0, 0xa9eda90b,
+    0x18600551, 0x5f5bfd07, 0x90a0c39e, 0xd1cace5d, 0xc9e15449, 0x8d204a18, 0xe4ad56a2, 0xe81c6253,
+    0xdc58466c, 0x3e7990f7, 0x0d546b89, 0x374730b3, 0xe38db984, 0x54c7b23a, 0x2b5e380f, 0xd3034b61,
+    0x08caf7c2, 0x606f1c8b, 0xe31d92ca, 0x9aab2433, 0x01c10957, 0x74b34bcd, 0xec21a41e, 0xeb711b21,
+    0x70a9452d, 0x6377b35c, 0x808cf8fa, 0x15d7ac07, 0x8814012b, 0xbdb9fea0, 0xc86777c8, 0xf1099a74,
+    0xf102b13a, 0x596ed376, 0x7bdca04a, 0x56cb5a17, 0x5ce00e0e, 0xef6e6b31, 0x4190937e, 0x08851601,
+    0x4c061020, 0xe4bd6de8, 0x0d462a31, 0x74334a03, 0x4a68979b, 0x41c29382, 0xa47d737a, 0x191d06e9,
+    0xb8a38961, 0xb182a626, 0xb95ca07f, 0xed811faf, 0x82b8602f, 0xf7aefbd8, 0x1001248e, 0x35a14829,
+    0x1eb8cadc, 0xc4c1903c, 0xc455af75, 0x638ba881, 0xb7c800e6, 0x8dca158a, 0x2e18c84c, 0xea6c505a,
+    0xc963a980, 0x5c582099, 0x936d5926, 0x7a3909f7, 0x31a0f04b, 0xa4d8031b, 0x760b59f0, 0x904af090,
+    0x8b99c6a2, 0xc91a0ab4, 0x860800c6, 0xc09200e0, 0xaef5d7e4, 0xa6100928, 0x1df0e0ab, 0x4f692097,
+    0xcf681ffa, 0x9f5b4c04, 0xc9490103, 0xab56c3e9, 0x581b8389, 0xd7231899, 0x27ef9131, 0x98309455,
+    0x59a01ae2, 0x23f0c35c, 0xc4118b13, 0xa85146dc, 0x23ba11bb, 0x5cef54f5, 0x33cad25a, 0x9d7afbdc,
+    0xe8216932, 0x859cde61, 0xfc036e76, 0x88b9cd20, 0xad656584, 0x57b91aa5, 0xf4e097a2, 0x05928be3,
+    0x3e3273fb, 0xfe0ef7bf, 0x971d27c7, 0x82a94960, 0x404eb490, 0x6b2aad7b, 0x0593a002, 0x3f845d92,
+    0x919e1450, 0x79bc6c9e, 0xeb84ca78, 0x3bb73168, 0xef78f47d, 0x7295429f, 0x3699ff70, 0xa4b8480d,
+    0x0f3242a7, 0xb3cf4e23, 0x46b776ea, 0x1e2d06a4, 0x8b0d703b, 0xfa7591eb, 0x3a3bebec, 0xb0598091,
+    0x30bf7c38, 0xcc054857, 0xd81f9068, 0x74faadff, 0x1cb5681b, 0xafdcce7b, 0xc9b3db30, 0xd0a7ff99,
+    0xd0e3183f, 0x359e554d, 0xa47bf39c, 0x9f4e2a04, 0xf9ce91cf, 0xc56171f0, 0xbc16d934, 0x14a26f27,
+    0x8890027e, 0x0b0ac911, 0x14f31877, 0x6e3fdc8f, 0x06a48b5e, 0x91cb3ee6, 0x38db8825, 0x824f45ed,
+    0x10595adc, 0x29158915, 0x9e8a0f69, 0xe74ebf23, 0xef966ad1, 0x5c4a6303, 0x497a336a, 0x0a459651,
+    0x4d926690, 0xeb81ddeb, 0xb635c13d, 0x5977b23b, 0x7178d9a8, 0xbbba7af4, 0x5577b6b1, 0x691ac395,
+    0xeeebaba6, 0xef4d3475, 0xa8d97307, 0xea70a78a, 0xec520d00, 0x967d235e, 0x23d11d10, 0xc57d5626,
+    0x242eaa44, 0xf02e77d5, 0xc045ed67, 0xe76a3062, 0xc9c45bd3, 0x4917dbae, 0x61005608, 0xbb94253e,
+    0x31ff916b, 0x3794f1f4, 0x71584508, 0x40828dbc, 0x05584dd8, 0x754bda38, 0xae1ad780, 0x25089dc2,
+    0xb0a2bd1e, 0xd90de32e, 0xa49db920, 0xf7fbdd1d, 0x84c8c939, 0x813f69bb, 0x9a7cd997, 0xbb85faed,
+    0xf2018129, 0x97b5f14f, 0x8f5cb415, 0x7b3babe9, 0xe71ca532, 0xe2d6f566, 0xb6421470, 0xe37bea4b,
+    0x15c88bf6, 0xe53bc79a, 0x6833171f, 0x9904aea4, 0x596b08c5, 0x28b2854d, 0x432cfcd3, 0x996992e9,
+    0x64362112, 0xf521bfb6, 0xf50a6494, 0xb81c2e26, 0xa665328f, 0xb95ac4d5, 0xfb556b45, 0x84bacb21,
+    0x1edd3ed4, 0x7114c8bd, 0xd7dbe096, 0x61475d3a, 0xff521a5c, 0xf5168711, 0x19c22f48, 0x083a7a90,
+    0x0478f5c8, 0xd5b6050e, 0x0e95a514, 0x797e0afa, 0x1f30ea7d, 0x8283fd50, 0x5f6493c5, 0xc83cfcde,
+    0x5ba788dc, 0xeaa396e8, 0xc7a83a9a, 0x0251d5bb, 0x4a30d76b, 0x2cf3c207, 0x9ac084c2, 0x4250bc0d,
+    0x440e2b79, 0xa490bcfd, 0x5bf9860b, 0x1d864f0d, 0x7a633d07, 0xc94e835a, 0x7102d656, 0xc6de9242,
+    0xe56011be, 0xd2e380e5, 0xb66043d5, 0x0896c6ca, 0x0daac39d, 0x5b9ed444, 0xbe55b0cc, 0x18576ee4,
+    0x3f99e53b, 0x137e4b16, 0xf430d15d, 0xc07c7e28, 0xb84aa86c, 0x08f6df95, 0x6850dde6, 0x352d134c,
+    0x60fe0fb2, 0x080b4e37, 0xd94069c8, 0x81f31235, 0x278413c6, 0x0c0f04cb, 0xbd24fa6d, 0x05549317,
+    0xff57b14d, 0x007567ae, 0x0bbc424d, 0xc8539272, 0x3b53d867, 0xd480b545, 0x98c80347, 0x8f113b0a,
+    0x00a756d4, 0x419a0559, 0x0509879a, 0xb9d6eb76, 0x84f2e325, 0x9f6b99dc, 0xbd659ad0, 0xa09db088,
+    0x127b7f13, 0x3d916b65, 0x75309b8a, 0x4afb11b8, 0xd55561ad, 0x6dec890d, 0xadd7f95a, 0xcaf191d8,
+    0x5f4c68ae, 0x2bfbcc6b, 0x6310fe73, 0x5d8b78f1, 0x1d275d4a, 0x5ba5bcb3, 0xce1493e0, 0x6dc2289d,
+    0x983dd84c, 0x4a65744f, 0xfaf22c43, 0xab6172aa, 0x4168fd90, 0x72f59c4c, 0xfc3e6913, 0x24323c48,
+    0x2e360130, 0x2f3259af, 0xe2c10b58, 0x8f2d2e96, 0x5709ce14, 0xa87affc0, 0x1fac9226, 0x3def1d57,
+    0x6894a55b, 0x0eb08929, 0x94c1362a, 0xbf93d0e8, 0x506b4759, 0x391aa51b, 0x223de9f9, 0x219aeb07,
+    0x12d663c1, 0x874ca46c, 0x2a1a407b, 0x96d968d3, 0x979c29c2, 0x7b4dfc91, 0xcf4472d6, 0x1932e5a3,
+    0xf85ce0f7, 0xf7bbb483, 0x609b349f, 0x4bc8edf2, 0x2a16b442, 0xe8fdf010, 0x271cc636, 0xe5a43444,
+    0x55f50f40, 0xcbe2ff03, 0xb3eed9ee, 0x3dc385a7, 0xf55930d4, 0x5907e2fa, 0xf096f169, 0xafd806a6,
+    0x6a610348, 0x6a5db484, 0x3393a693, 0xbf5644cc, 0x3b532c84, 0x81240e80, 0xc19ee742, 0x937d3bfc,
+    0x3e7289a4, 0x2759e228, 0x574343dc, 0x434aecde, 0x1577ccc2, 0x646c5679, 0xa4083638, 0xf5508ab4,
+    0x44372fa9, 0xaaff3726, 0x10575369, 0x44fd594c, 0xae56e7e4, 0x3b869c12, 0x0288a96b, 0x5ba08055,
+    0x79537aa3, 0x5b93b8b8, 0xa258c135, 0x8ff9b5b9, 0x907a9821, 0x7ec1ffab, 0x33ce765f, 0x9089621c,
+    0x907817eb, 0x2f2b1709, 0x603b0ce5, 0x6c236b26, 0x21434d0b, 0x503eb4ca, 0x3ebae180, 0x08983d65,
+    0x977e7bc7, 0xbecec481, 0xd6d97f97, 0xcb212c63, 0xd07e045a, 0x2ae295ef, 0xa115e419, 0xdcbacb32,
+    0x2ba24166, 0x64d8d5b0, 0x44edd8d5, 0xb39152ab, 0x4a81b580, 0xa79c0f85, 0x5a8050eb, 0x08eb6ba7,
+    0xe1bf7484, 0x875560fc, 0x2552e0da, 0x3ca18334, 0x4b0cc584, 0xecf362b8, 0x35c42d7f, 0x905abc42,
+    0xf005eedd, 0x592aee75, 0xd31df9cd, 0x95e1db72, 0xcc68a910, 0x15abae38, 0x0e7587a9, 0x386323ca,
+    0xd2eb2645, 0x42ce9902, 0x9c320822, 0xb3fad59d, 0xbe72619d, 0x71991635, 0x3274b2bc, 0xe50c0b3f,
+    0x9cb5a9b6, 0x69ea0300, 0x98e3d95e, 0x5e64ba30, 0x12c56c45, 0x28fba7dd, 0x66d7cca9, 0xfa642f9c,
+    0x00000000,
+    0x16e49536, 0x1c84c52b, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000421249166674228746791672110734681729275580381602196445017243910144 */
+  { 0x00000000,
+    0xf4b6c1d9, 0x46617ba7, 0x6f543f6b, 0x0323394d, 0x5e159ce7, 0xa5e6db95, 0xf8b23261, 0x7200592f,
+    0xb68ca480, 0x2408ea51, 0x5d352984, 0xe8c9e56b, 0xec5f6897, 0xbc063ba7, 0xa0ea165e, 0x66f1212f,
+    0x410a4fbe, 0x87e7d555, 0x6234c227, 0x20d9f715, 0xef9555c4, 0xe2fa4af1, 0x2753bb5e, 0xef881a34,
+    0x4457e9ed, 0x72882014, 0x4040e71a, 0x557c20aa, 0xa3395f15, 0xd09a6551, 0x2ab13ee2, 0x4c587fa8,
+    0x72b1ea4c, 0xda37bef2, 0x4b4051a0, 0xcdbcc7b4, 0x4c5600a8, 0xb88d86cd, 0xc165af1e, 0x2bb0c9a3,
+    0xe4f32177, 0xf06bc651, 0x37c26222, 0x3ada66fc, 0x17904064, 0x13ced631, 0x51fbb8e2, 0x9ec24279,
+    0x7a62d3a2, 0xc23d137a, 0x2441ce5e, 0xeaf3e9b3, 0xe7ab3995, 0xb3335316, 0x05645d4e, 0xf2952e67,
+    0xb83b615b, 0xe3b87f0e, 0x8229fce4, 0x4e315d63, 0xf111e334, 0x2ea91e03, 0x46ac70e2, 0xee6aeb4c,
+    0x06a5d5c3, 0x0234f8d5, 0xf8bf5298, 0x06a7df19, 0xc81ee287, 0x8d172baf, 0x456f2964, 0xdbe3028b,
+    0x7aa3c432, 0x5721c42d, 0x67a742e8, 0x906c17dc, 0xa9f1876c, 0x0c3c5500, 0x19954423, 0x5a9d092f,
+    0xe33de007, 0xb3ff49c1, 0x301b7eb1, 0x98bb9f31, 0x5640015a, 0xf04a1971, 0x27652b74, 0x83948df7,
+    0xe8bc468d, 0x06ffbb0d, 0x083b1b72, 0x3fda8b6d, 0x2a7dc653, 0xd8ff7a82, 0x682d44ee, 0xd8fa507b,
+    0x5bb6ce9f, 0x4d71b2af, 0xf267239e, 0x5780c911, 0x2703d733, 0x4184e4dd, 0xcd268c03, 0xe268af27,
+    0x00ec0e42, 0xe24178ab, 0x56e04ee8, 0x50cfea91, 0x95c884e0, 0x8187f735, 0x8e064cc7, 0x484759c1,
+    0x0cca8e32, 0x9c26a637, 0x2aab2712, 0x0944cb73, 0x8759ce13, 0x0a3fe288, 0xed6114cf, 0x356ede92,
+    0xd26caed9, 0xf4e8eb29, 0xe082e29b, 0x834864d7, 0x9909da37, 0x588f8f2c, 0xf9fa7c7e, 0x588376a0,
+    0xdc0a5447, 0x332e1271, 0x92b7f769, 0x7e60c069, 0xe0d32cfc, 0x00cd8446, 0x94689b0a, 0x633a76b0,
+    0xa1127edc, 0x2321789a, 0x3655d104, 0xfb31d5e4, 0x5dbf9efb, 0xeb86c7c2, 0x08663e0d, 0x81e03d0c,
+    0x266d753b, 0x90bc3bf0, 0x0036b67d, 0x6ba4e2f9, 0x081261f7, 0x6c09d95e, 0x29652361, 0x51342c42,
+    0x98d373b9, 0x7a1d899d, 0x497e8ca2, 0xfd0514a1, 0x4dc74050, 0x62b3d636, 0x5359545a, 0x2acf85ec,
+    0x2d6ebcbe, 0xaa549b00, 0xc798a018, 0x393dd953, 0xe7ccfc96, 0xb4e500aa, 0xdace3e17, 0xb01f90ca,
+    0xb5f2ef69, 0xca8b07ed, 0x2aff02bb, 0xca203d3c, 0x37bc7cc9, 0xff065ab2, 0xbdbab256, 0x8d5fee44,
+    0xf9ceb9f8, 0xcde900e9, 0xcd5b3b60, 0x0fdb7212, 0xfe4247cd, 0x2766d9fd, 0xb5d1f9bd, 0xc9267879,
+    0xbf5c5293, 0xf04374ef, 0x1da6e926, 0xb7230c5a, 0xb0f25b33, 0xbadc487a, 0xa8c4004c, 0xb6bf53d2,
+    0xe5f083ac, 0xf9736e67, 0x7533696a, 0x690d0901, 0x237423cf, 0x6a96ab52, 0xaaf05de8, 0xa040cfc7,
+    0x1d7f0035, 0x18e206c6, 0xed8d7a70, 0xdfe19faf, 0x57e23d1f, 0xae9bcac9, 0x596dbce7, 0x638f8a7c,
+    0x88263f73, 0xb5340cdd, 0xc720d482, 0x40df5184, 0xfc112196, 0x54299dfc, 0x5896bb80, 0x60d23328,
+    0x5e19d099, 0x4e5769f9, 0x1829649b, 0x1e661778, 0x137e9e6e, 0x52786290, 0x04987a3b, 0x4b879310,
+    0xaa484939, 0x9763dfbc, 0x37b07aa4, 0x53dad85c, 0x5d7728e7, 0xd1f86ee4, 0xba8d22e0, 0x0e615b84,
+    0xd7451556, 0x5308f864, 0x21427953, 0xbc4e8dea, 0xb901581d, 0x1cf26d29, 0x40f99941, 0x1a0fb888,
+    0xef07557c, 0xc9633764, 0xdfd91aaf, 0xbbaa1ff5, 0xd548b538, 0x213a87a4, 0x0785bd0a, 0xe7b9011b,
+    0x0eeb8803, 0x769c43c5, 0x6b97ea1a, 0x68bd6baf, 0x47471e33, 0x049eb456, 0xda18c38e, 0x63468003,
+    0xff7fcecc, 0x1d1876b9, 0x78d8ca89, 0x0b294ab5, 0x8cdb77b4, 0x83da4ccd, 0xd0205f7a, 0x63118c49,
+    0x2607dc75, 0xc03825b9, 0xa009d400, 0xdb0989d1, 0xd1d6b5b1, 0x07fe89bb, 0xafee5ef6, 0x550af346,
+    0xcfe667a0, 0xd5dd3927, 0x5bce9f96, 0xd410c925, 0x014bfa58, 0x70adcbae, 0xbc4101cd, 0xb2da8b02,
+    0xc55c76e7, 0x8928d1e2, 0x2080b5bb, 0x7dd5796c, 0x21b9e53c, 0xa7161f58, 0x13dbbdf1, 0x43192f0e,
+    0x11b00f85, 0x76ec6946, 0x22d38d18, 0xd6250d41, 0xe220c1b9, 0xe6dfbbe4, 0x8fb76abf, 0xd21c409f,
+    0x9a2674d8, 0x4c43ee91, 0x8a7cf7c8, 0x76feca7b, 0x52610e68, 0x7d63e3db, 0xd24eed4e, 0x1dea7641,
+    0xd51a5a5b, 0x2610d50e, 0xc178d631, 0x549d1ebf, 0xf8470fc7, 0xd335d1e2, 0x53abfaf6, 0x5dd9611c,
+    0x1d6313a5, 0x553ff12b, 0x99a05cd9, 0xe9c657dc, 0x2171e212, 0x8f88e893, 0x4d835a41, 0xc22f2140,
+    0x8d3b305d, 0xf3582759, 0xc2bff456, 0x24d43d4f, 0x5c3fd89c, 0x8c2f7ddb, 0x29abcc57, 0xdcb8ac2a,
+    0xf23bb2df, 0x244566f1, 0xb9043eb6, 0x3f75e2dd, 0x07f5ebb4, 0x5746e759, 0x6dfd83aa, 0x7f1482dd,
+    0xa1838f5f, 0xcab92591, 0x6bf75553, 0xe3b59ca3, 0x8419d51a, 0x595dcc6b, 0x350a2f4f, 0x4207fce5,
+    0x1dc6485a, 0xfbc25124, 0x39995d2a, 0xf12d21ab, 0x7d69d83f, 0xe07a61eb, 0x0d04c303, 0x81f6bf5d,
+    0xea1ff9ad, 0xe87aacd0, 0xb6fccd52, 0x205075d8, 0xfce84e11, 0xcd3fbd68, 0xf96a2ae5, 0x42ac00e9,
+    0xea72c620, 0xb73b82c1, 0xb3ad15ee, 0xe39aa7e1, 0xb5d46218, 0x3cda2b82, 0x511bd6e1, 0xa83ba7fc,
+    0x7939e3c9, 0x9495b066, 0x63a624e5, 0x02925441, 0x3c143ac5, 0x09eaa098, 0xa29d563c, 0xe62f0287,
+    0x54f7d419, 0x649694d4, 0xf386c4a2, 0x5e4d04cf, 0x4c0324df, 0x223f9c3f, 0x7b74652c, 0x71fa94d3,
+    0x84734e03, 0xc877fc56, 0x398f4363, 0x91d1991c, 0xde1da15b, 0x8a3fd206, 0x0ba7418f, 0xec9d5ec6,
+    0x8bae9e98, 0x90905df8, 0x3b1355e2, 0x493c449d, 0x41c75c2b, 0x20b24ad2, 0x80f49dbf, 0x08442a0a,
+    0x200de38b, 0xefd1245f, 0x13bf9548, 0x02d8eefa, 0x8570dce3, 0x921be4de, 0x9e856626, 0x66be8fc4,
+    0x257468cc, 0xc0c78dde, 0x7e463107, 0x1b279737, 0x06b219f0, 0x71e0b696, 0x39c6236e, 0x8283309c,
+    0x7231ed91, 0xe78ef4f4, 0xe517adbc, 0x508cc945, 0xae0d8c40, 0x0e207213, 0xa1fdc9b3, 0x5a41942c,
+    0xa10f8073, 0x30c0b1d9, 0xe0990adc, 0x0abd525b, 0x1324f336, 0xf7c5d07a, 0x8983a409, 0x3d4bb2f3,
+    0x587dafcc, 0x21b8290b, 0x7b13cf4c, 0x45c3183f, 0x0c80a56c, 0x52825feb, 0xdcedb898, 0x2cf0fa78,
+    0x87ef304d, 0x38778a5e, 0xa19c5fa9, 0x99ed3d86, 0x73750fc3, 0x1d4eb88e, 0x0312792d, 0x73676a5f,
+    0x14bc0df0, 0xf97d1335, 0xaf57aab1, 0x6cc5b59b, 0x1da6d9d7, 0x40e43cbd, 0x0a848a82, 0x02a3503e,
+    0x6922e702, 0xd4e240f1, 0xdc39ae3c, 0xed9fffd1, 0xfdcfa057, 0xcfb8da60, 0xa4db41af, 0x522571c7,
+    0xe0ddf12e, 0xd14d8ad6, 0xdbc6b0aa, 0xdccbc41b, 0x929985d8, 0x2d6dcbac, 0x19d219f9, 0xd1f51523,
+    0xcf1c2a0d, 0xc6b77290, 0x6dacab2f, 0xefbcda0c, 0x618a2394, 0x81b93254, 0xf746209f, 0xf4ca1a22,
+    0xe363c7c1, 0x70fef752, 0xcdf162fd, 0xab4d627b, 0x57cce982, 0xbe12ba6d, 0xd8047f5d, 0x842ec261,
+    0x30ea700f, 0xe56eef9a, 0xe3b5a28a, 0x25b74bfe, 0xf834b3d8, 0xf2882b40, 0xfcb3f23e, 0xb492f2f4,
+    0xbc0ab7e4, 0x232a8024, 0x6065eb93, 0x17bb437c, 0xaf58cef3, 0xda9d6384, 0xefcb62a2, 0x63b6d31b,
+    0x27564d67, 0x62878d58, 0xedf086f9, 0x27dbbee6, 0xb41678bf, 0x844c9db3, 0xc84aa001, 0x6e98a59e,
+    0xbabc5bb4, 0x436e2ef0, 0x65cee7bc, 0xf37d3e20, 0xa710e1a5, 0xb811bdef, 0xe96e9334, 0x37a0877b,
+    0x90c0555f, 0x6d069962, 0xffa1a54c, 0x88348c86, 0x5ffd6cdd, 0xd42af6af, 0x1117e375, 0x284c1387,
+    0x47f01436, 0x09d91f9e, 0x2de23347, 0xd5b7b87d, 0xb1885294, 0xea442dec, 0x339142b3, 0x819fb793,
+    0xd3554293, 0x92794a16, 0x5fce11c9, 0x262a9361, 0x46ac25cb, 0x2d86fab3, 0xd1db84d0, 0x5069d998,
+    0x744fdc7f, 0xcd42de65, 0x3c76e5aa, 0xb4ba0951, 0xb08d95c3, 0x9f5a0a38, 0xb7f7b302, 0x6275c376,
+    0x333a9144, 0xc8cb0358, 0x670924a9, 0x384dabff, 0x86a5e2fb, 0x1815e01f, 0xea81565b, 0x9c6f9088,
+    0xd911a345, 0x6144438c, 0x7aff663f, 0x203ead3f, 0xfec19c9c, 0xcbab79e2, 0xb27dded0, 0xadb03b87,
+    0x95536430, 0xcb649ed2, 0x8df0e4ed, 0xe540c919, 0x8d51b7e2, 0x223f18a6, 0xf355da5b, 0xa664cc56,
+    0xa29567e9, 0xa76070d6, 0x951d0a3a, 0x93ced9c7, 0x41c56327, 0x70218bd9, 0x909b72df, 0xd8088e31,
+    0x5464fd9f, 0x0d635b1b, 0x56a2492c, 0x066dbc5d, 0x74676805, 0x4b6bff8e, 0x74882ca9, 0x83d80161,
+    0x2185af82, 0xf7d29499, 0x952a2436, 0x789a4606, 0x085f639c, 0x3d073ff7, 0x3911774e, 0x4c78650b,
+    0x6fa18023, 0xcd6cfee4, 0x030963a3, 0x33819220, 0x76df5c61, 0x62ae860c, 0xe957dbe4, 0x1d2a23b1,
+    0x41458a27, 0x09b04573, 0xbef6d8b4, 0x06268ea8, 0x71590f95, 0xb089251c, 0xcb695cb3, 0xfcf1e0d8,
+    0xf970168b, 0xafa9f694, 0x79558ce6, 0xb903f41a, 0xfcbf7129, 0x65673489, 0x4e461e5c, 0x6c2c1383,
+    0x3e268a14, 0x73821bd5, 0x35cd60f3, 0x462c14c4, 0xc4cbaf26, 0x8127957c, 0xca7b7c14, 0xb53ea72c,
+    0xda99343a, 0x09527460, 0x8aad2de3, 0x8fd629b1, 0x8be033c3, 0x130b3423, 0x6f4671d8, 0x0d217367,
+    0x57f455ce, 0x0ca7c360, 0xae76c37e, 0x816e99f3, 0xe4521bcc, 0x1caf7f1b, 0x0198c957, 0xb9fc0ff9,
+    0xa890bfe5, 0x16ff484a, 0x1d5ec0e1, 0xd70ba4bf, 0x555f3417, 0x2debde83, 0xac7772ff, 0x55332e9d,
+    0x395f336d, 0xb26100ea, 0xf7f03bfb, 0x69f02e28, 0x6e3dc7da, 0xd69ae583, 0xb386ffe1, 0xae6f0b6c,
+    0x6e0b96d0, 0x37de9e1e, 0xb5488642, 0x0efb2e4d, 0x4b12bb22, 0x159e8c0e, 0x66840ae4, 0xec91b879,
+    0x0326bfe7, 0xe1c3ead5, 0xf5ac9fb8, 0xdfe8f368, 0xb8f0b129, 0xd8e490e3, 0x084617d7, 0x879cb2be,
+    0x46080168, 0xa164f564, 0xef54fca2, 0xebdaa8b0, 0x89378a6f, 0xe07af92a, 0x39d02873, 0xd0d72522,
+    0xe2d9d2e2, 0x7624578b, 0xfcefebff, 0x7a809d75, 0x28a8378f, 0x0fe71397, 0xcc1e6ad1, 0x7697800d,
+    0x22faecc4, 0xe4a190f9, 0xa516c75b, 0x6d482597, 0x8d154caf, 0x979c78b8, 0x7d29b527, 0x2a3e84e2,
+    0x901235eb, 0xa65e8588, 0xa6a4a3ce, 0x4e249a49, 0xee50cef7, 0x1e51f190, 0x42599915, 0x37c12d95,
+    0xaf1a1c0c, 0x6f044b2e, 0x7486f0c1, 0x6142b010, 0xc266a444, 0xdf700f8d, 0x95772738, 0x3d80f780,
+    0x384f3e8b, 0x1d242a7f, 0x7cb06df0, 0xbdce3c74, 0x36d1123c, 0xe1454bf1, 0xb1ab42a2, 0x7723ed3e,
+    0x69d98df3, 0x51fe3487, 0x7f491aa1, 0x0fff4481, 0xc40fba08, 0x923ae682, 0x6cb549d1, 0x78214e08,
+    0x45e235f6, 0x2982ca62, 0xc495dc0d, 0x0d89d114, 0xa9757ee8, 0x6ce3629e, 0xc7505ca5, 0xc174fe0e,
+    0x5e4d7627, 0x392a1b11, 0x1b718339, 0x5d82c45c, 0xfafc11bf, 0xb29a8720, 0x10aae469, 0xbbd6e628,
+    0xc00e34e5, 0xedd5ffe4, 0x2a25e4bb, 0x0af3eb9f, 0xf4b06808, 0x75f952b7, 0x13fba14b, 0xe5b93ca3,
+    0xda5e43fb, 0x022ff3e2, 0xe3ee0c71, 0xbf245378, 0xd6f5f797, 0x920f0663, 0x234ef348, 0x7556f365,
+    0xfe6d4e82, 0xcec68e6b, 0x47a7be19, 0x46b8675a, 0x151a8fd3, 0xcbeeddd5, 0xec2d3841, 0xa3205402,
+    0x687dd59d, 0xbe135e93, 0x2aad8f37, 0x857163c1, 0x9ef8dd27, 0x73623210, 0x6be89202, 0x523516f4,
+    0xdd2639bd, 0xdeea7389, 0x84d3a9c4, 0x0d9d16e8, 0x6258360a, 0xe1dfda34, 0x56dbac00, 0xbdf421bb,
+    0x7d578d2f, 0x543aef51, 0x37fcd6b5, 0x689b276d, 0xc6344918, 0x472ab764, 0x4efb7e7e, 0x54792761,
+    0xf3d56447, 0x282e8794, 0x3fa8cf60, 0xa8115a80, 0x2f05d6ed, 0x81eb326b, 0x1b7c271a, 0x40d47f97,
+    0x71239cc0, 0x910f8da1, 0x0f9479ac, 0x66a78d4c, 0xff7b4a31, 0xca8d7be3, 0x5df3a10e, 0x904cc5bc,
+    0x698ba3b3, 0xbc1870d7, 0x82871614, 0xacb28acf, 0x888d4b19, 0xad1c1fe2, 0xc73a5b97, 0x00c4bd93,
+    0x185ccace, 0x6b90f1bf, 0xaa2e0ee2, 0x1546264c, 0xa5b79b38, 0xe6fc27da, 0xc60bc238, 0x03a9437b,
+    0x1b922ade, 0xbb743fef, 0x628b00d6, 0x98355f56, 0xb73778a1, 0x582e38ae, 0xfc7c0cde, 0x68132597,
+    0xcae184e6, 0xa07b0389, 0x6a8498fc, 0x50ce9b7e, 0x26bf734e, 0x8717c7c7, 0x2d5eee3b, 0xa1ef5367,
+    0x4bfb4a77, 0x24a51958, 0xa5082bfa, 0x43d98703, 0x46cb7c04, 0x17548349, 0xcd3dab11, 0xf7de3a83,
+    0xb02b18de, 0x4be044c2, 0xd16de6ad, 0x997c07b9, 0xbb130509, 0xf55b0646, 0x4e807b2a, 0xae0916a0,
+    0x70f57abe, 0x7911a21a, 0xb9a64538, 0x43ba31e0, 0x7db1cf0b, 0x52ee6d12, 0x27c48aea, 0x3f4d27e2,
+    0x2fadb164, 0x3ba133ca, 0xde959e3e, 0x76ae354b, 0x3d0e7565, 0x7b35258a, 0xfae9d539, 0x92bee62c,
+    0x84d61671, 0x8a0fabb0, 0xbb42e786, 0x8722f553, 0x0cd892db, 0x0c2fd434, 0x51e15540, 0x515f4f4c,
+    0xda637249, 0x4c3c0b4c, 0xaee51256, 0xe5d36650, 0x3cb6688f, 0x2f920bd6, 0x1e7961e0, 0x9d0a2e39,
+    0x50e3f902, 0xb83b2858, 0xbcadc9c5, 0x8e3c427d, 0x6ce3f1fc, 0x990d9943, 0x98715ddc, 0x2d6ba89e,
+    0x87249605, 0xc9d5d5c7, 0x366ed5e2, 0xebe5e46a, 0x6fdf5123, 0x2ee05676, 0x58105a32, 0xa12d10c6,
+    0x9f7e7eb6, 0xf0651b6b, 0x41198178, 0xf0d459b2, 0xf3efa1f9, 0x321a2407, 0xa870a15b, 0x84fdb368,
+    0x14fd92c1, 0xb1180d15, 0x3d1a185a, 0xba9ab865, 0xe86f65c1, 0xcbb75f1a, 0x6086c608, 0x30286c40,
+    0x0434375d, 0x12d7d17b, 0x21c6663c, 0xe5125f2d, 0x41c0529d, 0xffca1ead, 0x8c5629f4, 0x2b2d7a54,
+    0x72b0feb1, 0x87ae4f86, 0xa80b1e4f, 0xb266736d, 0xb1f6a4bf, 0x2b2e9abe, 0x8acfe669, 0x8efd66ae,
+    0xc4241527, 0xdf8c4447, 0xc801a90e, 0xb10e711c, 0xda6a6e35, 0xe1fb8e98, 0xfc6d6230, 0x9a52d9e6,
+    0x8c32a658, 0x347e7c00, 0x76acf2b3, 0xab6a8f27, 0xe048aba4, 0x12c2f1a5, 0x52111961, 0xae021626,
+    0x05de15bc, 0xfb79a29b, 0xb6bd7006, 0x962dbe1e, 0x81d43f29, 0xf72f2852, 0x96367777, 0x06305e04,
+    0x706391ac, 0xfb1b632d, 0x64090ec2, 0xab4d6807, 0xba9a57ef, 0xb2a40db2, 0xebbe6ce3, 0xe0be76b4,
+    0x4b5d2fc9, 0xd687f0d0, 0x2ab72a16, 0x9817be67, 0xffaeaf82, 0x5d121a6e, 0x86325bc1, 0xffee57e6,
+    0x8fb53510, 0x2c9a9b4f, 0x3fb36feb, 0x1d564d22, 0xdbef5812, 0xd3ce7d99, 0x2a7a4bb5, 0x23dfdbc1,
+    0x56fe36ec, 0xe46f217a, 0x80f6611c, 0xd3c9ac9d, 0x27a1379f, 0x3c1b9a78, 0x74ee581e, 0x16a2e617,
+    0xbc1865a6, 0x21fdfe32, 0x87700b8e, 0x074ccfa7, 0x94510b53, 0xaebb38ad, 0xcff44cf6, 0xfd2e1e00,
+    0x00000000,
+    0x8b724a9a, 0x0e426295, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000210624583337114373395836055367340864637790190801098222508621955072 */
+  { 0x00000000,
+    0x8e7c9374, 0x7f236904, 0xc2a7f71f, 0x4ad78ebc, 0x1af2b896, 0xb3ea09c1, 0x69fc7f9b, 0x72731824,
+    0x5fd448c9, 0x2f533064, 0x2d2f56ad, 0x83a78fb6, 0x02eb9163, 0xff06632d, 0x309acffe, 0x3707c0b6,
+    0x81bb8217, 0xad3659b8, 0xf772c1b4, 0xe303b4bb, 0x9b368cb1, 0x90faf862, 0xd79998ab, 0xb8b9ac21,
+    0x88fcf2a1, 0xcb297f3b, 0x54eae884, 0x14c05df9, 0x4958ba50, 0xcae9cf42, 0x27b93fc5, 0x4e87e212,
+    0x4c3121ad, 0x10018559, 0xe9f152cd, 0x74152022, 0x6bed407a, 0xe9416b1c, 0xa85abcf7, 0x7f7754c9,
+    0x5446b52d, 0x39d9d25f, 0x6f2677c8, 0x715372d7, 0x4de8e661, 0xb4a0f71e, 0x4f85af2b, 0x07129e23,
+    0x3784bbdb, 0x1aa5de42, 0x1a843020, 0x062e54d2, 0x5feb4495, 0x0333e52f, 0x47a7fbfe, 0x28abb85a,
+    0x30ab6e00, 0x1169733a, 0xc7bd3401, 0xf77bb799, 0x6b5b4ecb, 0x6281f499, 0xf296065e, 0x962387c3,
+    0xcd4eefa9, 0xcc87de8d, 0x830f3ba3, 0x267810d8, 0x825f81af, 0x846c9256, 0x3bbccc01, 0x00301950,
+    0x29337f73, 0x2dd587eb, 0x61c7f0df, 0x8451324d, 0xd04b70ac, 0x32a80342, 0x59cec7a1, 0x74bb76af,
+    0xff68ae12, 0x0e6ccac7, 0x914b3839, 0x6bcfce78, 0x80a21e74, 0x24c9c421, 0xdc233e8d, 0x83eb8d32,
+    0x2bf3f82d, 0xeeb3bb15, 0x0ce2f0c5, 0x01531bf3, 0x426e4d49, 0x15371026, 0x13de92e5, 0x59c6c237,
+    0xc04ff5c1, 0x106de86e, 0x3467209d, 0x9b55182d, 0x730e35bf, 0xd35d127e, 0x0c036fac, 0xff23c848,
+    0x99917e1a, 0x88cf2698, 0x1e6b8411, 0xba680bdf, 0x2c8b7b45, 0x2925da1f, 0x25902ac5, 0x3926b5fc,
+    0x1b6509a6, 0x63d34827, 0x8ddf7697, 0xb66c79a0, 0xec9ea3fa, 0xe2994fdc, 0xde1990cc, 0xf1f176e7,
+    0x76de3d19, 0x25512d0b, 0x19c8d3b7, 0x30af42cf, 0xce142a21, 0x530ed928, 0x063cae8d, 0x6dcd2fe5,
+    0x8436d569, 0x3ce2e726, 0x52cac4eb, 0x8cd28d31, 0x6d086060, 0xd8377cfd, 0xcf71f818, 0xeeeae4db,
+    0x16be8cbb, 0xa7f7756f, 0x2c40d76f, 0x6ca9e978, 0x0a01bfd1, 0xb7431245, 0xfd28cb49, 0x4db8d0de,
+    0x83067363, 0x9cda6364, 0xb77c62b3, 0xb4ddfd81, 0x39f7c5a3, 0x1b20529c, 0x876433b2, 0x15725458,
+    0xe1347e4e, 0x44440fd4, 0x44091a0a, 0x42b8ec93, 0x92c47f4c, 0x48505344, 0x693f1fce, 0xf583e323,
+    0x500920b1, 0x7f4fc48d, 0x5a049e5d, 0x98aab5aa, 0x44ecd81d, 0x20a62b6a, 0xb09623f3, 0xa2d94651,
+    0xabb2d0d8, 0xc4ecd082, 0x6a88bca5, 0x0ee8f598, 0x1c5deb33, 0xb80dd560, 0xdeab1270, 0xe59ad131,
+    0x14930e63, 0xcfc062f3, 0xd6ee5988, 0xf158da8f, 0xacb104c0, 0x8b495131, 0x5c0bb5e7, 0xb89efcd7,
+    0x76fa78f0, 0x95368b81, 0x82f5fe92, 0x3580313e, 0xde08d995, 0xa52c3075, 0x00c8fff5, 0x12c0d9d7,
+    0xa7d3d7d6, 0x2b6fff04, 0x0f8b9cfd, 0xa573ad7a, 0x2b08c57f, 0xe8205165, 0x9ff1bedd, 0x854fbb5f,
+    0x78b307dd, 0xbb15e508, 0x6cb53397, 0x92487b59, 0x6258e8d2, 0x663c57c8, 0x53c02806, 0xb1156516,
+    0x68227212, 0xe7e1e0d1, 0xe3a6a855, 0xa6cd4e1a, 0x689bf7fb, 0x89768269, 0x7313bfe5, 0x160e2d77,
+    0xc8d8ee68, 0xb12e2811, 0x2558b870, 0x7babc38a, 0x0ae5ba14, 0x9a30b8c3, 0x5596b0dd, 0x5291b061,
+    0x710546b5, 0x5197865b, 0x73f11bc6, 0x1a7ae5e1, 0xdcd19997, 0x2eb5d4b1, 0x3f343df3, 0xbdbaa40d,
+    0xc498acce, 0xe08c9390, 0x0811863a, 0x2bb9d6d5, 0x6e72416e, 0xcb639b27, 0x2feb75a9, 0xda067d4c,
+    0x31d93040, 0x0ae30795, 0x0bd3c8fc, 0xb516e0e3, 0xb9b88701, 0x43cbbe26, 0xa35cc6fa, 0xe237af7d,
+    0x7c113c40, 0x80cad950, 0x67280aa8, 0x35b5255c, 0x1662a414, 0xd41bdfb9, 0x917e1c64, 0x807bb1b2,
+    0xc1dde3c6, 0x57e02736, 0x67ff380c, 0xc39314c6, 0xea55453c, 0x53413546, 0xfef44325, 0x0bc5ca9b,
+    0xf62d0294, 0x57933c18, 0x5429e4c9, 0x0c1312b6, 0xa4b91132, 0xbf338770, 0x415cb7c8, 0xb4ef57a8,
+    0x55f58929, 0x5c542ebb, 0x1ca851c2, 0xa2689ed8, 0x3e8c4f38, 0xe34d4b9b, 0x1878e2a2, 0xf0367c82,
+    0x8d9a0f94, 0xb20da765, 0x373ba493, 0xf7aae2e2, 0xfbb71361, 0x99967ec0, 0x02222a35, 0xec772132,
+    0x8f3b2648, 0x219a53bd, 0x1f8df97a, 0xba06adfd, 0x5bd61f34, 0xdc942d5e, 0x3cd4b220, 0xc64a23d5,
+    0x7cba5c3e, 0x6710f8ed, 0xdd00945b, 0x562d4833, 0x4d5df3ab, 0x57410618, 0xa2e29759, 0x3664aec6,
+    0x67920093, 0x2a79d4a0, 0xdaadea0d, 0x9416f566, 0xf0482fe4, 0x3db7f484, 0x4c6368cd, 0x1801d72f,
+    0x4e0370d6, 0xc2a317e3, 0x42e06c9f, 0x20ea15fe, 0xd7c3f9d6, 0x5556d169, 0xccf37bad, 0x06b6d226,
+    0xa00deb36, 0xd626dce3, 0x038196b5, 0xbf11f233, 0x07982ebf, 0x4d254800, 0x350fd2ca, 0xadd68c1f,
+    0xa83c9c95, 0x118d4051, 0x625b9b35, 0xf119d89e, 0xa6d9e0c9, 0xa2b6d175, 0x2f2ebcdb, 0xaa584270,
+    0x1e6d7d67, 0xc06b5e83, 0x963b4180, 0x31cf5379, 0x9e6ac2af, 0xed76b7cc, 0x291797f5, 0x0eac5536,
+    0x07c67e93, 0x9c96fd3d, 0xd7c71746, 0x8d55e1c8, 0xbdd99a38, 0xf2da374c, 0x13f050c9, 0x1ded2c9c,
+    0xf6dfaa22, 0x95fdd80d, 0xf1dc0a6e, 0xff887dc3, 0xfeb3f58e, 0x548f4af2, 0x710e2784, 0xcc9f6323,
+    0x48257abd, 0xdeb31977, 0xada8a2b7, 0x2bd58a3b, 0x99b06e27, 0x4bdb0649, 0x721f47bb, 0xe3029cc4,
+    0x87a73a49, 0x4ae53a6e, 0xef70097f, 0x89ce54b1, 0x2c248d72, 0x6a10fdb0, 0xa0bdbc5d, 0x12ddfcf5,
+    0xebc85a7c, 0x674f6ec4, 0x19183837, 0xf0d99649, 0x78b55451, 0xe6b7826c, 0x43bed49c, 0xfa5001b1,
+    0x0cd086f6, 0xe794e257, 0xdc3a9d34, 0x148fc597, 0x42d18f89, 0xcdc883f4, 0x1db8ad94, 0x42f97cd9,
+    0xe158e705, 0xd9ea6576, 0x20a874b8, 0xd8018660, 0x24aaf6c1, 0x9dfc964b, 0xd6d0ea24, 0x244bd3cf,
+    0x590515f7, 0x88dd97ec, 0x7ac0171d, 0x690cefb0, 0x75ac4ca6, 0xf88b0d5d, 0x6c392f00, 0x36934dfb,
+    0xd1dace0c, 0xd5e870cb, 0x307ff6c8, 0xcd50e46d, 0xb21af89b, 0xaeb9bfe4, 0x6df06811, 0x52b033cc,
+    0x8144c05e, 0x45553c6a, 0x31526093, 0x0911b3fc, 0xc959048c, 0x64fb7f9a, 0xad2ea8fe, 0xdd57739e,
+    0x5ac47e7a, 0xf49abd1b, 0xd21b4029, 0x0a90accd, 0xba4a63bf, 0xb6c9f51c, 0x9aa582e4, 0x15565ca7,
+    0x865e702c, 0x00390d02, 0xd1f20dcf, 0xd29a824d, 0x2c470092, 0x5c749e85, 0x32ce47cd, 0xfffdb1d1,
+    0xecc86e33, 0x3e407c93, 0x4f37cc35, 0x3fe9d75b, 0xd77ef6f0, 0x3a6ce8d4, 0xe1e681d5, 0xfa02e68a,
+    0x4398f17d, 0xf795ee2c, 0x298e0af0, 0xc8e673be, 0xf713fb7c, 0xf0871a0b, 0xdcb6dceb, 0x6c04c357,
+    0xd6390967, 0x268576c3, 0x483028f0, 0x1fcad2be, 0xb0f0558f, 0x30aa5301, 0xcff03617, 0xd2f22e83,
+    0x5a4d29c2, 0x4a00f29d, 0x562e5102, 0xb2c8673a, 0x7e21b254, 0x144f329f, 0xc4bb968b, 0x916f8eb6,
+    0x23c184ab, 0xe0401a8f, 0xd8848d6a, 0xea077024, 0x744077ff, 0x728d3ffd, 0x02124bc3, 0x5b5c8bc8,
+    0x4d091134, 0x6b3f5cb0, 0x4fbbe1ff, 0x4de952b6, 0xbdf2eea1, 0x9247bce1, 0x34f4bcf5, 0x89ba5e01,
+    0xbec24f9c, 0x77aa5347, 0xc820c0e7, 0xfee2d3f1, 0xcbfba5bd, 0xa9e7d52a, 0xe81ecc69, 0xb4ab083f,
+    0x1f383b64, 0x9e2da168, 0xd87d40e2, 0x40142205, 0x78c67680, 0x566dc536, 0xd76286cc, 0xe56468e3,
+    0x5c8d32ea, 0x1334c667, 0x267ad556, 0xf456d1d7, 0x1096a44d, 0x19e795e4, 0x4cf09c0a, 0x02c9c7b7,
+    0x74a8625e, 0xfdfb924a, 0x3fb26f6f, 0x5d2d161d, 0x1d72cdd4, 0x7dda5a80, 0x1b765f50, 0xc800d5e8,
+    0xda538cab, 0x1ea3b3ff, 0xd1955dce, 0x81585426, 0x5c4f5125, 0x90a20958, 0x4f3ebb81, 0xad897f59,
+    0xf3f28e41, 0x08ee92c9, 0x7b9befbb, 0x9ee30cbf, 0xf5107869, 0xf8215be1, 0x9cf2d43a, 0x275bd29d,
+    0x4767cdba, 0xe07e5e0b, 0x7972f2a0, 0x31d73e97, 0x8c2df34d, 0x37d3413e, 0x9b9264d9, 0xa4ceceea,
+    0x0a7ea71c, 0xcd74e090, 0x2d112401, 0x9b488d80, 0x9a2df050, 0x2bdc3f14, 0x33416878, 0x57c616dc,
+    0x24674751, 0xcdf1842c, 0xf2b296e7, 0xc38b232d, 0x2ff707a7, 0xc6f0f825, 0x6647ef92, 0xf4aba97f,
+    0xf30084c4, 0x8f297446, 0xcc736bac, 0xdd10bd62, 0x71e398ac, 0x818335fb, 0x8a1fc8dc, 0xc0c520df,
+    0x11dcdc75, 0x9098af67, 0xc480a549, 0xfe60b743, 0x1c30aa9f, 0xf023515c, 0xce1bfaf5, 0xce98ec99,
+    0xf1b23490, 0xf3939a29, 0x18b8e103, 0x9b1a7698, 0x5551859d, 0xe6deaf09, 0x34aa1259, 0x66272689,
+    0x292c30c5, 0xec454fa4, 0x1f843554, 0x9ff70793, 0x8b876c13, 0xe7ccc6c0, 0xd1fd5001, 0x92736727,
+    0xe32a91b6, 0xc607ff1a, 0xdf8ba994, 0x36b407fe, 0x16022b93, 0x85eb17f4, 0xbb5dfae3, 0xf2c9fe23,
+    0xd9e04952, 0xf17424ce, 0x4d6ecd6e, 0xefd8106b, 0x4f9f0b51, 0x5043e63d, 0x9790ed97, 0xb98e4850,
+    0xcd041b95, 0xb56414a0, 0x41154c42, 0x1d992610, 0x1e270003, 0x9d316046, 0x8096ce5c, 0x4067dab7,
+    0xed9d273b, 0xb5a70840, 0x8ef31665, 0xd291e67e, 0x69c33ccc, 0x0102d222, 0x50f48083, 0x856011c4,
+    0x8cb12a2f, 0x85972821, 0x57412bb9, 0x50adef03, 0x09608edb, 0xd41112b5, 0x7ea096e6, 0x04a91f05,
+    0xdd591f34, 0x434185af, 0x51f0db1e, 0xfef00d1f, 0xf346f609, 0x84f0da92, 0x5e105007, 0xf54aa675,
+    0x22347093, 0x67cac551, 0xebabb37b, 0x7dc53f9f, 0x68594fee, 0xd7eadb80, 0xeaeef384, 0xc93df278,
+    0xc64b09d4, 0x4aeca6e6, 0xe5b8929a, 0xd019eec2, 0xebdb51ba, 0x8bef8d76, 0xc2bc8856, 0x9d0295cb,
+    0x9abd4df0, 0x5eaba711, 0xef22a367, 0xd2a64d6f, 0x7c5743a0, 0x7721178a, 0xef20ac9d, 0xc2bf32d2,
+    0x884dcf02, 0xbdce6d0f, 0xad1fc51f, 0xc5cebcef, 0x0e9c3e77, 0xa12b44dd, 0xf6d27f63, 0x9d2bdfa3,
+    0xd85ad442, 0xa1965e2b, 0x1de8f78a, 0x07cb1658, 0x3f4b882e, 0x2d88811f, 0x6ca97757, 0x21ebf0e6,
+    0x79ff1835, 0x1a9c8bd0, 0x4dc0cf47, 0x96f41697, 0x233a32a3, 0x7064c6c9, 0xaa4277e6, 0xa71fb040,
+    0xbabd223a, 0x1569fcd8, 0x3a55c07e, 0xa93594a4, 0x767be652, 0x47827f0c, 0x1ac37a4b, 0xb2cd15c6,
+    0x6338135a, 0xa759ba38, 0x4e5fcd77, 0x7292c4af, 0x91d0690d, 0x7c161d58, 0x90763b12, 0x314fa850,
+    0x68ec7975, 0xfa002f4f, 0xfa5a6e6f, 0x1895952b, 0xd1aaaa92, 0x645f39af, 0x5bcf8934, 0x60f03a35,
+    0xd215e60b, 0xed590f92, 0x5b06d5c3, 0x904d44d0, 0x0cf2249a, 0x15612162, 0x05d5dda8, 0xf467aceb,
+    0x2dd7c75a, 0xc71e83c0, 0x31535a93, 0xaac1a310, 0x2b6bc85c, 0xa2bd444a, 0x92abf6e5, 0xf5a42a13,
+    0xb99eb11e, 0x100cb01f, 0x0a291ce9, 0x583ef34e, 0xa3b60d7b, 0xc3701eac, 0x39ceb039, 0x07929ecf,
+    0xdc06075a, 0x65efa15c, 0xce1f718e, 0x9c0d1733, 0x1e255c5f, 0xc0f31396, 0xad95f787, 0xca8d4230,
+    0xebcf84fe, 0x668f7041, 0x9c7de8f6, 0x094d9e12, 0xdb492929, 0xce239d0b, 0x7e50f8fb, 0x760da5d7,
+    0xb25f374a, 0xcd58b79b, 0xffb27599, 0x3ecc6177, 0x36586fdf, 0xf31e8414, 0xe0ffc5b8, 0x67e83cf7,
+    0x89353386, 0x30661c30, 0x33d913ef, 0xe9a81a63, 0x41c6908e, 0x99f35389, 0xf9dd29c5, 0x85d2bdfd,
+    0x4115e835, 0x45f6ab06, 0xb1cefaf7, 0xe453a089, 0xa84ceca8, 0xd7694cde, 0x53c46518, 0x1996e814,
+    0xa34e194d, 0xb1d9adee, 0xa7e8ec59, 0x0ebd66ab, 0xf662e069, 0x17870a79, 0xff196a13, 0x78e1219a,
+    0x2f2349b9, 0xdb19adb0, 0xf97c606e, 0xcc47c8ab, 0x3dc4c373, 0x416f8ce1, 0xc4f2c99f, 0xe6888cb8,
+    0x54a3e7a9, 0x4e94ada9, 0xc926db23, 0xd86c3014, 0xb1c94ed7, 0x567125e4, 0x93cd3805, 0x60d46536,
+    0x048d697d, 0x4f1bc5ef, 0x3cfc8557, 0x8406a1b5, 0x06ff6df5, 0xf1bff492, 0x08ba4eb4, 0x99343467,
+    0x955a9d5b, 0x3d95cf8e, 0xeed9a685, 0x9008e679, 0x22952536, 0x7ea5fe05, 0x47b30d11, 0x10ba8d66,
+    0xd8aadee6, 0xd682d60d, 0xc3bfed1b, 0x5d9e65cd, 0x6e67414c, 0x8957c9c2, 0x84e3941d, 0x46e48cb3,
+    0xa11bbbf1, 0xc223723e, 0x1b2de49b, 0x488c56ba, 0xc3cd9133, 0x189067f1, 0x199c26e0, 0x211c55a2,
+    0x94b1d642, 0x10507ba2, 0xb14c8fec, 0xd7eeddea, 0xe6f71274, 0x645823cb, 0xcb9382cb, 0x4422a7ac,
+    0xf79871b2, 0x41a95b5c, 0xa2e878b7, 0xc4f0d844, 0xd6b148c2, 0x071d7c23, 0x9773ca3b, 0x3d67ddd0,
+    0x49abf434, 0x69680a5b, 0xd3e06a21, 0xce8b6f15, 0x2ee9af06, 0x1760b768, 0x861e5972, 0x3c9b1836,
+    0xda4b437b, 0x07b85db7, 0x048a0aef, 0xd866485f, 0x5c2acf35, 0x3da6237b, 0x5e51a24d, 0x9fa73083,
+    0xe3ff20ab, 0x655b3f02, 0xec3aeb95, 0x315fd2de, 0xf5f7e109, 0x79bcfb29, 0x689781a2, 0xf31cc4f9,
+    0x650165d0, 0xbb544165, 0x07718580, 0x6824603a, 0x0c4fe6e7, 0x27b30d2a, 0xefdabcc5, 0x1f0a62b3,
+    0x4b657d03, 0x4db91917, 0x62794cf0, 0x7f8bfc8b, 0x3db8e1bf, 0xcbdc7d80, 0x031e360e, 0x162cf37f,
+    0xade01197, 0x418ed552, 0x0f303f63, 0x40dd7f70, 0x647d3c96, 0xfbadae84, 0xf3b36601, 0x1e7af6ef,
+    0xbb84772a, 0x59dfc910, 0x04451f2a, 0x0869b44e, 0x84d68754, 0xae7c0e44, 0x4375b0c5, 0x30e66b85,
+    0xf23462df, 0xc970fe80, 0x05ca8404, 0x8478f0bd, 0x46e85aa4, 0x56670887, 0x28dc8e15, 0x019d6313,
+    0x52045f23, 0x4a4a8638, 0x795cf2d9, 0xea3b4bf8, 0xe041738f, 0xcc9652f8, 0x09192a99, 0x1359903b,
+    0x102467b3, 0x026d9a81, 0x58662abe, 0x7447b68e, 0x4d73666d, 0x18ca8259, 0xf01a3967, 0x0740b3bb,
+    0x54e0fde5, 0xa78d6949, 0xb9bc6f19, 0x9d5fe731, 0xdc03bb4a, 0x79649691, 0xbd4dd349, 0x83fbab9f,
+    0x2829ff5e, 0x607e279e, 0xd44e58d2, 0x1c3d6049, 0xe53a1a6b, 0xb77008c3, 0x8dfd8e86, 0xefdd17e7,
+    0xc1a27aba, 0xbf82d638, 0xb4ce447e, 0x78427442, 0x40588d73, 0x1ed259aa, 0xccc86328, 0x9822b72a,
+    0x2fcc7223, 0xb0a9a2d9, 0x8028aded, 0x8fdd1d07, 0x52e62efa, 0xb10eebf9, 0x29519eec, 0x3b1aea02,
+    0x5c7f2ab5, 0x249a8aa8, 0x0fdff7e9, 0xd3131c64, 0x64f846a0, 0xb11cb709, 0x9f45a8f8, 0x3906c97d,
+    0x63d2fcb9, 0xfbbdcfc9, 0x27a8be38, 0xa068c9d5, 0x5ee9238a, 0x1bb5d998, 0x9281ec8c, 0xb1a345cb,
+    0x978fff40, 0xf08feca8, 0xae5ddb27, 0x6b5d36ec, 0xb97ce652, 0x0a6caf21, 0xa100e7e4, 0x8c841e86,
+    0xff463211, 0x34804c20, 0xfb98a5b2, 0x6dee1f0b, 0x42682fc3, 0x9f2b739b, 0x987ff116, 0x2599877d,
+    0x1113f2b6, 0x54f6e591, 0xb993db66, 0x47f29841, 0x24c725a4, 0x485b0137, 0x10d20aa3, 0x250d770a,
+    0x3022ff63, 0x85c8e0b7, 0xa81af835, 0x49516c33, 0xc8ff1f3d, 0xc516b97e, 0xd02be8de, 0xfe960f23,
+    0x00000000,
+    0xc5b9254c, 0x0721314a, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000105312291668557186697918027683670432318895095400549111254310977536 */
+  { 0x00000000,
+    0x9140f836, 0x77a9b192, 0x2d8578d2, 0xc345ba1f, 0x73864fe3, 0xc0854ca3, 0xde212b48, 0x18a068b3,
+    0xbbfdaaf2, 0xe0d82f4d, 0x31e3da45, 0xc835e41a, 0xd3b40741, 0x094e652f, 0x0d23000b, 0x212dbaa6,
+    0xf1904010, 0xe6e3459b, 0x2744eb85, 0x80a7e659, 0x393fb60e, 0xc7b5b6ff, 0x6d383941, 0x9c9ecf51,
+    0x2aaa236e, 0x6cacf1c2, 0x720641ea, 0x8d9382b6, 0x8d04fa1c, 0xf6dbf551, 0x95f8a592, 0x29ba39de,
+    0x3b28b2f6, 0xf0aaec61, 0xf416e569, 0x55eb76e3, 0x24171d4a, 0x4f074862, 0xc11c9814, 0x25aa33cb,
+    0xc9b49943, 0x1f4ad5fe, 0x5d845773, 0xbf0c9502, 0x4e192390, 0xd234fcde, 0xf17f8688, 0x8501aecc,
+    0xdf67b636, 0x12ab56d0, 0x11174511, 0x51872fa1, 0x16ab2103, 0x7e5ac341, 0xad520e00, 0xe439be15,
+    0xd26d86e4, 0xb24001cc, 0xc7e2dcf3, 0xd36eed2c, 0xad670055, 0xc4ce0b9f, 0xcbd93580, 0x86e41359,
+    0x725b425f, 0xb06acfcb, 0x8d126ef1, 0x120d537f, 0x247714fd, 0x226e3a33, 0x510f573e, 0x5a3021c3,
+    0x7e880118, 0x665e8845, 0x6cd3cd77, 0xb0f5e4b8, 0xafd39b4f, 0xe14a53b9, 0x8a857d45, 0xb5e94086,
+    0x12417679, 0xc7a96a0a, 0x69710709, 0xb45cd13d, 0x960effc4, 0x6c8dc53e, 0xa767bf81, 0x31f3033d,
+    0x92303536, 0xee5ec04b, 0xe54ab3f7, 0x5dd1e13e, 0x11a8ebbc, 0xfa6e27d4, 0x3f646502, 0x7daabc87,
+    0x4203df00, 0x2b54d7c3, 0x0f38c1e3, 0x3366b468, 0x75024e6d, 0x8e68bd53, 0x132389d5, 0x61164d78,
+    0x531b284d, 0x9b52d416, 0x6aa4924f, 0xadbf6c8a, 0x2ef0508e, 0x46d7dd0d, 0x5f1438a4, 0x21e36ba1,
+    0x737d734c, 0xa0bb8997, 0x31184dbd, 0xf9b9f1ce, 0x045475e9, 0xd39c3a63, 0x83a562df, 0x285f1648,
+    0xfbf4e455, 0x69e4be7f, 0x2c94c887, 0x90fa2c0e, 0x7e7cb7de, 0xe7931aa3, 0x1da5f345, 0xb4c0753a,
+    0x1c286d95, 0x439075aa, 0xc00b8ab8, 0xffd5a315, 0x1d071276, 0x6d94b236, 0x8dfbf3f6, 0x183bc1c7,
+    0x4ef39db2, 0x2a06f137, 0xce383b41, 0xdda5b58c, 0xf780fb0c, 0x77e23eee, 0x245e0309, 0x24a4402b,
+    0xfb76c3b1, 0xffda19fc, 0x5c680afc, 0xfae9274e, 0x9cbb262f, 0xae396cbe, 0xeb5326ea, 0x2a0526fe,
+    0x373f587b, 0x2af4a45f, 0x2bbc07b9, 0x1ab8f4ac, 0x4d7e000f, 0x9a678964, 0x613b4155, 0x9483c100,
+    0x4803e8f9, 0x6e9d81d4, 0x04e046f9, 0x118389bc, 0xe39fa983, 0x95c783cf, 0x3e7fa212, 0x589ae442,
+    0x77f65e4a, 0x899632c1, 0x4d705afc, 0x87f865f6, 0xa359e824, 0xda133a35, 0xd6572e97, 0x1ad33d31,
+    0xe7e2bf61, 0x9a1c812e, 0xd3b6429a, 0x7961e9d6, 0xb54cf652, 0x4cb747fe, 0x637b8314, 0xadda24f6,
+    0x8301cd2f, 0x98fe28de, 0x3eed5ce0, 0x5a3525a4, 0x3efd8c33, 0x674cde77, 0x74cb6e99, 0x12d5eada,
+    0x1c08af5b, 0x383648ee, 0x20f78587, 0x33c3c60b, 0x88aeb385, 0xa0fa3895, 0x38af939c, 0x99c50e93,
+    0x27826c74, 0x7ecd8aaa, 0x8a38bfba, 0x82c93ab4, 0xb3cdf6eb, 0x14ddc290, 0x50080ce4, 0xab23ef5d,
+    0xba64de03, 0x2d2c3d6f, 0x8ed1994e, 0xa32fea9a, 0x39dc0478, 0xff0c9178, 0x17db1d88, 0x91bafc25,
+    0x2ed236f9, 0x9dff16ec, 0xd9353054, 0xbf344633, 0xe095f934, 0xc500ce0d, 0x9c643f67, 0x92843bde,
+    0xb2bc68c5, 0xef766243, 0x936efd36, 0x3f8a4ed9, 0x32f30e5a, 0xdac304e0, 0xd59b9c81, 0xb399e2b7,
+    0xf2e94547, 0x6bb4cc67, 0x0af62469, 0xc6e394aa, 0xb78c66f8, 0x6525aa15, 0x44f5f8c8, 0xd3497713,
+    0x74994200, 0x4f49fcea, 0xa3e68453, 0x1d96365f, 0x3804d583, 0xb82b00bb, 0x3f090108, 0x087e6ede,
+    0x4d8406a1, 0x627aa1e4, 0x01b18ad0, 0xd0f42d27, 0x27491b40, 0x94b6a85e, 0xa94ed57c, 0xa1d1afb5,
+    0xc3bfc942, 0x290b4196, 0x829562ba, 0x2bcfe390, 0x084b6d20, 0x63ec1cbb, 0xa71d6dfb, 0xd7e88270,
+    0x13fb5c66, 0xc593b05b, 0xa2197260, 0x8f0941d4, 0x8c59344e, 0x72633bc4, 0xd8c9017d, 0x499efc33,
+    0x921925d0, 0xbcf7e44d, 0x2ca20013, 0xbea61d49, 0xc10e91a4, 0x4e453bf0, 0xe872ba55, 0xa17db8d0,
+    0x021c537a, 0x2d152c90, 0x42259fc5, 0x98b275d6, 0x9c7fcb73, 0xf2872ddc, 0x77bcf6eb, 0xa6e1e8ac,
+    0x7302a1f7, 0x6edb42cc, 0xbed239e1, 0x6ce0dc7c, 0x12dd77fa, 0x834866da, 0xec704460, 0x8e0f697a,
+    0xf81cc27a, 0xeb909b90, 0xfd20ccdb, 0x96d9508f, 0x1993997c, 0x437b5c95, 0x794d42dc, 0x50998f8e,
+    0x220212d1, 0xeaa20bfe, 0xe9e0704d, 0x05c33c8e, 0x4c05b6be, 0x77885100, 0xc25804bd, 0xedf6c64c,
+    0x89b9ed20, 0x6e8166d8, 0x400bce96, 0xda1b4572, 0x66410f83, 0x141b2bf7, 0x1bd1da72, 0x3d54b496,
+    0xac04efee, 0xd3e27f8f, 0x0bb6da72, 0x3a9c4c75, 0x90f6ac9d, 0x6205145d, 0x007f54ce, 0xd384d478,
+    0x65f99768, 0xb47342bd, 0x6d84c6fb, 0x9ebcab19, 0xffe54a1a, 0xe0e3fe46, 0x0aa1badd, 0xc0b62b20,
+    0x5ac6f9ef, 0x9b9a9ea5, 0xe1a3c475, 0xda0a5d5e, 0xf466ab0b, 0x54c4182f, 0xdb8263cc, 0x8912767e,
+    0xdc0470e8, 0xe34400b2, 0x5255b5b8, 0x2b8d0b34, 0xf020a172, 0xa68d900e, 0x219cf0f9, 0x4125dceb,
+    0xc1b30044, 0x2fe4bcfa, 0xeabd3106, 0x08938dc2, 0xb2dc6282, 0x4c4ae5e4, 0x2ff280a7, 0x9a4a30d9,
+    0x2f0d352b, 0x7356d53c, 0xdc7da2e0, 0x275bc4ca, 0x5846eeb4, 0xc401558e, 0x71562307, 0x6b5011e0,
+    0x01058a54, 0xe5c3e7f4, 0x602cf6ec, 0xe3a0c3fc, 0xcf7bb92d, 0x731178b2, 0xc3339ba2, 0xc4f1cdde,
+    0x264718a9, 0x4ee6371e, 0x8fbd0ee2, 0x59f4a802, 0x85d546cd, 0xf267c77f, 0xf6b9f353, 0x902975e2,
+    0x39c67f76, 0x98a36d41, 0xd83f9d47, 0x5846aee1, 0x0ca0134e, 0xc0ac5033, 0xffcd3510, 0x764bcf8f,
+    0x0f5aed6d, 0xdcb399d9, 0x8e689dfe, 0x6ed0d7f4, 0x4d219cf9, 0xb0d7154f, 0xc92b29b8, 0x953c9fef,
+    0x8a01984c, 0x24356a9e, 0x217a27ab, 0xbac9ce97, 0x7f3b948f, 0x5433f31d, 0xf927b717, 0xac80fe73,
+    0xb6544d6c, 0xec5014a5, 0x38fbc168, 0xe9ff3909, 0x118846de, 0xea8ea23b, 0xfac6772b, 0xe4191065,
+    0x1db13f26, 0x5c720dd9, 0xaa6ca580, 0xd844a0cf, 0xf31b89dd, 0x977704e7, 0x17886c2a, 0x156ec891,
+    0x24e464bb, 0x11d5d3c5, 0x554c4800, 0x82467e64, 0x8167c638, 0x0b646603, 0xeb43fa97, 0xdef49c69,
+    0x7cd2f871, 0x94079594, 0x49ef6abd, 0x35623c92, 0x03c8b8c7, 0x7664562c, 0xd829db71, 0x7fd0a100,
+    0x08438c01, 0x45c57324, 0x3e8d3ae6, 0x165c9a32, 0xe581f028, 0x69028985, 0xb6e6a98d, 0xd80a0c41,
+    0xeb277e6b, 0x25fa87e2, 0x6fbd6377, 0x8367cb35, 0x2beb6e4f, 0xd3894c11, 0xa0eee738, 0xb1d32429,
+    0x90f44b37, 0xc5fce874, 0x974a4062, 0xec855f4c, 0x16901b11, 0x1906dbbc, 0xed631227, 0x3f84e4b9,
+    0xda2514eb, 0xe4379497, 0xf80cb083, 0x5d1b265e, 0xfdfd7e7e, 0x39d5034f, 0x41ae1b62, 0xf6582628,
+    0x91955e40, 0x8947348c, 0xcc35e78b, 0xae0bf611, 0x66c29ab6, 0x033e149b, 0x182fcaf9, 0x1df0df09,
+    0x6564e065, 0x3f34a5f9, 0x0f370712, 0xba45a7f0, 0x1d7f878f, 0xd7b31da6, 0xe708ef0b, 0xf7e21a2b,
+    0xe3842318, 0x75335f0f, 0xd296a3ef, 0xda07d79e, 0x5fea2cf4, 0x99ddc9c2, 0x61458bf9, 0xb8f2ee41,
+    0x27b2898f, 0xa4175ece, 0x86ca06b3, 0x3137287f, 0xb3e5f519, 0x85d71615, 0xfd34883a, 0x1d97bdd4,
+    0xa93f2941, 0xc2951ffc, 0x87199fc2, 0x2303a8eb, 0x3ec2d128, 0x131f4020, 0x8ae99736, 0x88109133,
+    0x1fbbcf94, 0x5089bfcc, 0x06660123, 0x42271f70, 0x8364f044, 0xd3581afe, 0xe1a87577, 0x331f36b7,
+    0xc5b022b8, 0x8003d3a5, 0xb5a42bfc, 0x94b02207, 0x693552c5, 0x6a73c10a, 0x8c1b9a86, 0xe4c655cd,
+    0x4a18661c, 0x5b5972d0, 0x653b027f, 0x06011fab, 0xd190d1df, 0x8e16d95b, 0xcbb66725, 0xeb2ad665,
+    0x872310ac, 0x4331a9b5, 0x84cb5c3c, 0x7a62c2cd, 0x77e53b80, 0x0a1427ff, 0x51a17628, 0x9e0619b4,
+    0x172ff999, 0x759ff9d0, 0x0c4f2c14, 0xf8eaf425, 0x2a55d8e6, 0x05f33ad1, 0x152b4b53, 0x485c7d33,
+    0x2f2df861, 0x5b1dc12a, 0x0f00f88b, 0x60aaa3bc, 0x591ab1fd, 0x08a8a115, 0x16e53ba9, 0x280f096d,
+    0xce3e0500, 0x53fc8a27, 0x3988c803, 0x62ef160d, 0x95bf7f5d, 0x36bd21bf, 0x4f5d4d10, 0x4336b264,
+    0xfd32f7f4, 0x522c196c, 0x5b02b782, 0x1cddb829, 0x23e72ef1, 0x7f974d87, 0x9fddbf3f, 0xf00fef11,
+    0x62670093, 0xbc0bfadc, 0xb378be99, 0x9d7f772b, 0xb3e90781, 0x30421b7d, 0xd891fdd9, 0xc6f6dd98,
+    0x40697286, 0x542a4f9e, 0xbed41ea3, 0xa7cfc03b, 0xa3310078, 0x34e22f00, 0x08c7e747, 0xb8e804e8,
+    0xc168c898, 0x1baee7de, 0x3ac4d467, 0x798bff13, 0x237ec431, 0x39030bf1, 0x8cd8d136, 0x762aacc7,
+    0xd5059633, 0x118a8dc9, 0x42096113, 0x4c4ad9a1, 0xad632992, 0xb07f25b1, 0xf8130fcc, 0x99d955e3,
+    0x6723f991, 0x764236ee, 0xf1c4f2bb, 0x873ecd09, 0xfb7d0e38, 0x9c7de3a1, 0x5b96f2f7, 0x0967bd97,
+    0xbedddfe1, 0xddd65552, 0x79466030, 0x67fe6522, 0xaa337986, 0x59c1fbd8, 0x66c26f4f, 0xe5ff5bc3,
+    0x6124ff34, 0xcc3592cb, 0x8cda4aa0, 0x9567e852, 0x63eaf16a, 0x8fa79b82, 0x2da82f65, 0x3a95534f,
+    0xbbafb10b, 0xd667a267, 0x556d3528, 0x4cadf5d9, 0xe9d1d9b1, 0xe83ba307, 0x1f5160a1, 0x4d82fe01,
+    0xb0f12751, 0xa9b124eb, 0x568ed844, 0xa0ae5648, 0x039d47b1, 0x51805916, 0xbe435d5f, 0x84ddf619,
+    0xa5a6f718, 0x5ab6fab0, 0xd1a6c77e, 0x79705706, 0x3699a8c8, 0x4b45d5eb, 0xd468bf9f, 0x78e9d374,
+    0xa60ce760, 0xef13aa1a, 0x0229855f, 0x14ee39bf, 0x964f6098, 0xae58c199, 0x9ce55286, 0x1d1b5b9d,
+    0x3c5b164b, 0xc222320a, 0xbe5ee7d8, 0x9829735c, 0x2f66132f, 0x2562e1f0, 0x6d08398d, 0xe3fade76,
+    0xe31b108e, 0x0ae4e071, 0x46922f29, 0x21125458, 0x8cae77e3, 0xa690abf2, 0xc2311df9, 0xc9b4fcfa,
+    0xbc5700db, 0x33cac912, 0xf578d5c1, 0xbd022e32, 0x7c2ecec5, 0x3fc10deb, 0x24412774, 0x035efeb6,
+    0xb76bfe3b, 0xc9514269, 0x69b4516f, 0xaf4f1f06, 0x9c5b18d1, 0x13ff2f24, 0xfd288b54, 0x8644b72d,
+    0x7490c8f1, 0x0554b192, 0x4016cabb, 0xfa615a6b, 0x87b934e0, 0xdad3236b, 0xd6386d79, 0xb30dd1c2,
+    0xb10c7494, 0x98e4cbc4, 0xd64fa58b, 0xfdc9a7eb, 0xe5f3d319, 0xe789387f, 0x427bc02a, 0x648f0a27,
+    0x8edd895f, 0x458e37e9, 0x797bbd1d, 0x43eda570, 0x85570328, 0xd9c12496, 0x410798d6, 0x5ca3820b,
+    0x4e1e765e, 0xa4cddf01, 0x4f917a8d, 0xed3330ca, 0x9e479c47, 0x62a9bf52, 0x18f0ad96, 0x84d5ebf5,
+    0xdb816851, 0x8640fa9f, 0x1fbed9d4, 0x6f1852ac, 0x0dc55281, 0x3dc1c57c, 0xb07d181f, 0xe011f2c0,
+    0x8f2a69cf, 0xe6f1fbaa, 0xad61cecd, 0x270d36fc, 0xc3f0f9fc, 0xf5c09bbc, 0x9c0885a0, 0xb1828db3,
+    0x144864cb, 0xbbe6449a, 0x0ffa3364, 0x92506dd3, 0x7dccc12a, 0xfa9d27a5, 0x277ece84, 0x5f488654,
+    0x85e9179e, 0x2a5ce6fb, 0x07c9f870, 0x51f587f6, 0x93b19291, 0x4c012852, 0x06d688af, 0xfdf7df30,
+    0xf71b0e5e, 0x68adef00, 0x386bd3ea, 0xe1524b66, 0x4784a1fa, 0xa82e553b, 0xe906d40c, 0x36c5497b,
+    0xcdb6ab4e, 0xea843394, 0xbd558be3, 0xffaa95b1, 0x63ea6129, 0xe77e7653, 0xd8575f61, 0x57863904,
+    0xc2dfd63c, 0xc56aae50, 0x9d84b6a3, 0xe1febd7c, 0xd079e3b7, 0xf7a3baf0, 0xc34ec481, 0x156fcf8b,
+    0xa39cb446, 0x82084dc2, 0x7d01d497, 0x0fb4150a, 0x6dc80491, 0xb1cf8058, 0xff388a82, 0xb4dfb66b,
+    0x5596ab6a, 0x0a4d942d, 0x28d23fbf, 0xe1675a91, 0x945fa36b, 0xfcb2f504, 0x3a535321, 0x1e8494fe,
+    0x53dd2dd9, 0x4018e6a7, 0x9e2b8f8b, 0xd579528d, 0x5eafb125, 0x184e4264, 0x9f5921e9, 0xfc293680,
+    0x9d50fca5, 0xa3c37a27, 0xf3ce322e, 0x90ccd3db, 0x8fec829c, 0xcc2cffb7, 0xf43fbe64, 0x4210db52,
+    0x70561897, 0xa622752a, 0xea8f6b06, 0x1cd83c23, 0x56902af1, 0x5765579a, 0xd156c1f3, 0x5caf6085,
+    0x1fa0b3b4, 0x3576fdc4, 0x94846fae, 0x4c7d322a, 0x3ced1a50, 0x1c38173d, 0x5061db4b, 0x4a81b18d,
+    0x147d651b, 0xc4fc2f94, 0x3d9a9d62, 0x9d678815, 0x4757c148, 0x7ea04fdc, 0x459453e7, 0x8a747779,
+    0xa630164c, 0x9eaa68cf, 0x2f93ea5f, 0xa555f9a3, 0xdeac14d6, 0xe40d8475, 0xd2371ba1, 0xad924509,
+    0xd1dd350c, 0x2b66c914, 0x6c1134a1, 0x4edd0371, 0x92da0a9a, 0x7c6d4a66, 0xb036a136, 0xec864887,
+    0x44d907ec, 0xae34caf3, 0xb536c2fa, 0xd22c4f50, 0xbf05d505, 0x11044451, 0xe5710f74, 0xf062b342,
+    0xe8b91e77, 0x56eee942, 0x1438ce83, 0x5ead2b62, 0x188f9d3b, 0x84f36833, 0x4b7712f9, 0xb3cbfdf3,
+    0x902b3b68, 0x9f44602d, 0xec997ab8, 0x0b5055bf, 0xa50bf32b, 0x0657280c, 0x26645c20, 0x8a0591ef,
+    0xce06e86b, 0xc861fc97, 0xc49ce345, 0x11399e33, 0x38029c57, 0x82f2377b, 0xf930d334, 0xcf449ca8,
+    0x41ceade6, 0x963413ac, 0x73c87fab, 0x014bf285, 0x6405b85b, 0x255f17b4, 0x4402f088, 0x30c8e721,
+    0xadc96822, 0x3558ef5c, 0x5b5c3047, 0xfb7bdd2b, 0x5c315fb1, 0xbf3e1e75, 0xadba1e6a, 0xebf82e62,
+    0x1fa89bf0, 0x1fd44a9a, 0x0b9dc4c5, 0xe149774c, 0x184f2d7f, 0x7975185d, 0xb64a8dbc, 0x9e827539,
+    0x2320cf6d, 0x943469d2, 0xe5e1a048, 0x0cde15fd, 0x38b753c6, 0xbb997888, 0x30be4da4, 0xa6efd40d,
+    0x9d766a32, 0xfc3ab126, 0x600c2ce3, 0xdb775517, 0x9ff12031, 0xfef835d7, 0x8aa32156, 0x0ee899b2,
+    0x3a642312, 0x1a5247ff, 0xeb21ba0b, 0x1879de01, 0xf7264a5a, 0xdd5165fe, 0x122dd2bc, 0x06d0573f,
+    0x524fcc70, 0xc4efc67a, 0x31e75ec4, 0x3db35c8f, 0xefe66666, 0x3d8a1699, 0x7a54f044, 0x04cd58f7,
+    0xcbc1ea9a, 0x49e47e09, 0xca7b4644, 0x8a21a64d, 0x654e2d51, 0x351eb19d, 0x8f5cd6a9, 0x0e914f58,
+    0x66142813, 0x88b69f67, 0x111283b2, 0x492adc41, 0xb96182c9, 0x851e491f, 0x98253fc5, 0x8a8bcc93,
+    0xe724a00c, 0x8e43715e, 0xc6daf9ee, 0xd566976e, 0x6898d67a, 0x3dd78dd9, 0x49cf8ae6, 0x04d2f68c,
+    0x5568606e, 0x74d9ada5, 0xa428983d, 0x696ae1c3, 0xe998c84f, 0xa5e5e70f, 0xbc8f93b7, 0x9851957b,
+    0xbe5a4cc8, 0x70badc0a, 0x59357cee, 0x6e9bebdd, 0x03d8300a, 0xc4c986fb, 0x3e6487db, 0xf5ce4189,
+    0x905f391e, 0x6301358c, 0x4befc5b5, 0x222b451b, 0x8e4da972, 0x1001f673, 0xede2b3f5, 0xd25f2a79,
+    0x217cce89, 0xdd3c41c2, 0x8233764b, 0x0db6b8ce, 0x9391cc63, 0xcf2b318d, 0x59a275a1, 0x8ed35167,
+    0xb31f9dd6, 0x34283255, 0x27ef376b, 0xfe35ef62, 0xdf8d401a, 0x421d46f2, 0x622c2120, 0xff4ac76d,
+    0x00000000,
+    0x62dc92a5, 0x039098a5, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000052656145834278593348959013841835216159447547700274555627155488768 */
+  { 0x00000000,
+    0xa1d598f8, 0x8fd46094, 0x9a09e532, 0x9c79a02b, 0xc8ee0f78, 0x80336b8e, 0x2c2ec4d3, 0x57daacf0,
+    0xc6cb3f14, 0x043e0e13, 0x571c9eea, 0xc9616566, 0xefc969e0, 0x7ccdc68d, 0xa56bae01, 0x0a3a4a01,
+    0x27149b9c, 0x17f05ceb, 0x6ab650fe, 0x49a456db, 0xdafaecb9, 0x21e8b987, 0xaf3fa565, 0xd44c259b,
+    0xf8822775, 0xed21d9c5, 0x8905974c, 0x22d1cf3e, 0x5b01ded3, 0xaf64a03e, 0x819f4531, 0xf33cf969,
+    0x0c3bf1bb, 0x052cb8c2, 0x0ddcdf5b, 0x6e1e59b6, 0xf1af62ed, 0xc1dab765, 0x53b4bdcf, 0xcd257404,
+    0xca01ab32, 0xf17e9988, 0xe54c8482, 0x78ce827b, 0xe8ed2fdb, 0x624abcb2, 0x244d3069, 0xd5196af2,
+    0xc85f70fd, 0xf5c1c00d, 0x8b4c0b5c, 0xce253d4b, 0x61c189f3, 0xe15e3318, 0x628a36ee, 0x214d0d6a,
+    0x84798330, 0xc720491e, 0x8e44e0a1, 0xc46bea23, 0xd17856b6, 0x1b7aed9e, 0x65ccdbb1, 0xf8fb72d7,
+    0x2089916c, 0x1ae805b5, 0x5a655b8a, 0x7dee7d9a, 0xc94776a8, 0xbf50d976, 0xf8f4a3f4, 0xb7831d9f,
+    0x19b2d0fb, 0x86e6af0d, 0xbd6227b1, 0xcfa5032e, 0x2527c3c8, 0x28587585, 0xddbd84e4, 0xa38a057d,
+    0x04377542, 0x2d936bd9, 0xaeec8ae3, 0x78036003, 0x8c706ed7, 0x225f3071, 0xc3db0764, 0x4a40727c,
+    0x4c38b8c9, 0xc0ca2dad, 0xb3abb659, 0x7659e803, 0xf08963a5, 0x104410ea, 0x63b39410, 0x831f8684,
+    0xff55040a, 0x155fc84f, 0x9490f9e2, 0xc676e351, 0xf584657e, 0xcfb7f7ba, 0xc8c5086f, 0x299df5e7,
+    0x478b1304, 0xb6f067c6, 0xac52ef01, 0xded3b75c, 0xaac73707, 0x58956d53, 0x1a7f5261, 0x51d58f1e,
+    0xac5ab80d, 0xce8bf9c5, 0xb247216d, 0x6730889b, 0x3206f7f8, 0x62ed5d58, 0x3c0ead35, 0x671cce3d,
+    0xca4473a4, 0x78561aea, 0xce75c184, 0xe0fd8a97, 0x4f49c982, 0x38691aab, 0xb606a589, 0x337e978e,
+    0xb5635c7f, 0x18ccf774, 0xdf4fdeec, 0xe1fbd7f2, 0x08dbe4ed, 0x1eea65c9, 0x274652ce, 0xcdb2e705,
+    0x59fb0de2, 0x6d356d19, 0x4f5e4685, 0x59791e9d, 0x66428d49, 0x8b061854, 0x1c2a1ec5, 0xacb288c2,
+    0x68d975fb, 0x5af30107, 0x3da1f80f, 0xb6e4d0f9, 0xf6526ffb, 0x48716d39, 0x4b5ddf12, 0xa3d18bc0,
+    0x92549fb6, 0x7787c894, 0x3b4ac74b, 0x471b7a78, 0x064b1421, 0x5531a529, 0xf4a3d4d6, 0x9823f554,
+    0x3f4643f9, 0xccbe6ab3, 0xb87e187d, 0x3fb5660d, 0xc2657306, 0x80d4a50b, 0x7af14f6a, 0x3ec3df8b,
+    0x752a9d28, 0x2db2891c, 0x616b43ce, 0xd1c99c9f, 0x93d9939f, 0xa91725ac, 0xd9c1f706, 0x3b2274ab,
+    0x853a230a, 0x255905f7, 0xff9f2a93, 0x57ede9f3, 0xdcdf24a0, 0x69e6f99a, 0xf337e087, 0xcae02a5b,
+    0x49067f88, 0xa24c4137, 0xa53782fa, 0xbadad9ca, 0x7f52b9f0, 0x01cdb172, 0x442eefab, 0x53726bd9,
+    0x8764c107, 0x65676fc4, 0xf8c8008a, 0x37908426, 0x86a8d988, 0xc608908d, 0x8df4462b, 0x1a50aaf1,
+    0x750167ec, 0x9b63fee0, 0xbd3bdfc6, 0xe25736a1, 0x7788859d, 0x1f026e22, 0xb1578fae, 0x471d55f2,
+    0x1bfc49f3, 0x4ba56052, 0xfb47c219, 0x2925ae7e, 0xd195026f, 0x06968282, 0x1256244f, 0xa44e0fea,
+    0x371b6b04, 0xb562df6b, 0x89e3ce8f, 0x5b5ce269, 0x0079c461, 0x3d923c28, 0x135626d2, 0x284b2269,
+    0x9bdf5c75, 0x51770eba, 0x2f29c90b, 0xf145e634, 0x76791cef, 0xead4dd87, 0x83193052, 0x1aad418d,
+    0x73feb08d, 0x46ea2b66, 0xab947fba, 0x2a49370d, 0xe5dc747d, 0x112e10f5, 0x7fb0b3b1, 0xaea2131a,
+    0x170624e5, 0x58768f66, 0xdd7b1a0c, 0x50b6d776, 0x2735d925, 0x64a0e1f3, 0x9f57c2af, 0x09ded0f7,
+    0xdfdad7b5, 0x162b7842, 0x7ee819b3, 0xffd48b5d, 0xc4dff904, 0xbd8f3604, 0xb80e6db1, 0xfd255857,
+    0x236d3305, 0x44380090, 0x7916f002, 0x5e4a2eaf, 0x21d87474, 0xf100065d, 0x98620d32, 0xb6e6100d,
+    0x44d61816, 0xd21e51ff, 0xe8bd5fb6, 0x7fffd809, 0x529f9565, 0x6e2ac890, 0x47b67e4e, 0xff5ebae7,
+    0x3824948a, 0x64080060, 0x6983230d, 0x1547ce32, 0x9392ae3e, 0x811219b3, 0x1dc45b6e, 0x7da9273f,
+    0xc377214f, 0xfb8bd202, 0xb8c94a0d, 0x36368666, 0x24da8855, 0xeb8d6661, 0xd43f859e, 0xbc23eb89,
+    0xe3f06c8a, 0xe1270558, 0x3f57fde6, 0xd1931e46, 0x49bab18c, 0x5876f75a, 0xe9a0d928, 0x35565bf5,
+    0x0acbaa81, 0xe21ec81c, 0xb538af51, 0x3cb68f5c, 0x959d171c, 0xf52726ec, 0x020184ca, 0xf3a5985e,
+    0xc5ff24fc, 0x0e3ece1d, 0xfae457c8, 0x7b0df7b3, 0xc7ddbec2, 0x7059181c, 0x909762fd, 0x8e037923,
+    0xcf4430ad, 0xe65d708b, 0xbc8ccad8, 0x059f810a, 0x60ac5587, 0x8e6402b4, 0x6ce8da8a, 0x31a5e6c4,
+    0x9c2cc1a9, 0x80679393, 0x270d7519, 0xae377927, 0x2d2f0713, 0x3b59c717, 0x4bad3d58, 0xa5440ef5,
+    0x12e85f77, 0xfa03c100, 0x72347859, 0x00170c9a, 0xcecec8d6, 0x865f4b23, 0x4d62c7c5, 0x737b7b77,
+    0x89a541fa, 0xb7982cbb, 0xe41eacf6, 0xb04af8e4, 0x47fd8886, 0x374fd5b2, 0xf22889eb, 0xedf79c51,
+    0xd49251fe, 0x36bbf98e, 0x51203853, 0x9c02a13e, 0x9c71fbe8, 0xbebb8ea9, 0x95ef8d81, 0x67bd3fda,
+    0x8d6b157f, 0x49a97237, 0xee65d750, 0x93684172, 0xe710ac8c, 0xb27e43a1, 0x4ec9f0b0, 0x94c98260,
+    0x9212a836, 0x93a9efde, 0x28d000a8, 0xc8243f29, 0x59ee9554, 0x0484e3c1, 0xaeb07553, 0x935a0a2c,
+    0x31094f55, 0x1d8f8802, 0x90edfa6e, 0xcbd4497f, 0xda15ba87, 0xdefa2428, 0x7d858fdb, 0x5b4ed353,
+    0x90e3af98, 0x86f764db, 0xe7979162, 0xbabebc58, 0xe33df428, 0x455acc5f, 0xa47b6831, 0x5e881bef,
+    0x662e02c2, 0x6a454676, 0xedf94dda, 0xb38233b9, 0x2f129bbe, 0x08effaaa, 0x42e73474, 0xd891ab44,
+    0x8295bdbe, 0x2b4088b2, 0x2aa198d3, 0x82119784, 0x0248d429, 0x04f30d1b, 0x9568ef10, 0x906631b6,
+    0x5acc74c9, 0x20ec9b43, 0xa1b6df23, 0xa9833e41, 0x79281529, 0x0ab8656f, 0xce59b4ae, 0x70353572,
+    0x680bf655, 0x009219fe, 0xb81d7957, 0x2d67ed0c, 0x1ecea307, 0xe8e4cb34, 0x435c3afe, 0x25df0c53,
+    0xd921adf4, 0x403b7b90, 0x5cd4c960, 0x0c5d9943, 0x96e3fc27, 0xfb7a4bc3, 0x9495c60c, 0x8a934a06,
+    0x08dd4ea3, 0xa3e52885, 0xc3f68e80, 0x93d0117c, 0x57a0790e, 0x0c5421a9, 0x9da5aa1b, 0x0697bf17,
+    0x3c9f294f, 0x13083b6e, 0xed3bee5c, 0xee274c88, 0x48551abb, 0x842ee2f5, 0xdc1d558e, 0x247c076a,
+    0xd8e4b62e, 0x4be7f529, 0x91f9a9af, 0x9791e2f9, 0xa81ba309, 0xe638a34c, 0xc6fbc67e, 0xd3878c6d,
+    0xd1303076, 0xfa25a81f, 0x88d0ed5f, 0xb50cbe96, 0x8dc2294f, 0x1d375083, 0x0ae22168, 0x70837d25,
+    0xc7ba31a3, 0x6f42e76a, 0xd7bbed9e, 0x518677c7, 0x8375c30c, 0x2407b6ba, 0xd32a6304, 0xd08211d4,
+    0xf49e816c, 0x4206cea6, 0x6e85bfd8, 0xf88cd90d, 0x19a147b0, 0xd2e1dd1e, 0xdbdd243a, 0x4eb5c13d,
+    0xbb802881, 0x5fcee1d8, 0x454ee92d, 0xdd311a69, 0x6e7b9f38, 0x366dec98, 0x99960d6d, 0x4c3f9b5f,
+    0x83d7fbaa, 0x0edfb05f, 0xedde3996, 0xf2d36a3b, 0xb0d793ea, 0x8360ae81, 0x6cc7f515, 0x8beac7d8,
+    0x346e1446, 0x8ee33728, 0xfc933b0c, 0x56fe7879, 0x001e36df, 0x10599279, 0xc00d7a80, 0xca222a90,
+    0x1a6b2b80, 0x23dcb29b, 0x98bb0a4b, 0xa5a9586f, 0x0012d80c, 0x3e047818, 0x2c322aaf, 0x6254e8e0,
+    0xb4f3c427, 0x7c4221e4, 0x59c8768f, 0xc4a18d34, 0xcdc91d27, 0x857133de, 0x7593e15b, 0x14bd6510,
+    0x5a92459a, 0x0fe58f10, 0xe59f4487, 0x3aa83869, 0x846dec80, 0x69527198, 0xb48fc3b4, 0xd5c31300,
+    0xd381b59d, 0x705a0ba8, 0x46153d18, 0x84e4281d, 0x75b55212, 0x6242d9d0, 0x8a9f80fc, 0xc6281daf,
+    0x21b13ef2, 0x6b78ff8d, 0xd65c25c1, 0x03b2b3b3, 0xb7ed42e6, 0x8e38cb49, 0x06d4a50e, 0x31c54209,
+    0x1c994f05, 0x48f620f8, 0x62053fb4, 0x14652380, 0x6d4ddbe5, 0x2ae033c8, 0xd97ad4e7, 0x7acd8edf,
+    0xde75dd74, 0xf54bc82b, 0x12a19512, 0x401b78de, 0x685c3331, 0x069b5a3b, 0x262fd8b3, 0xde904f94,
+    0x5865903d, 0x672e0988, 0xbb621f05, 0x6397326c, 0x28070673, 0x76a88bf7, 0x6afaa7c0, 0x476d57f0,
+    0xd39c17aa, 0xabf42a55, 0x63eea0f2, 0xb1390b82, 0x6f9f06cd, 0xba927d43, 0x1546b446, 0x9e59e3ee,
+    0x010b6bf3, 0x2949b687, 0x97b2b747, 0x6039949e, 0xaa5aedcf, 0xdca15338, 0xd45c89b6, 0xfd0c9126,
+    0x1ec393c6, 0x3e4e25a4, 0xa70ab31f, 0x61dad863, 0xe50bea90, 0xb3b1fa50, 0x2721ec62, 0xe0fb63c3,
+    0x3e288558, 0x5e9ac83b, 0xccf93a74, 0xec94e3f6, 0x88985ea4, 0xbf3cb28e, 0x43430a9d, 0xca2a5acb,
+    0x74b5da5b, 0x55f0582e, 0xe0a17368, 0xbf83f707, 0xb6651137, 0x5340c442, 0xb83e6203, 0x261508af,
+    0x26bc9786, 0x501972cd, 0xae0bded3, 0x1ebc4cc5, 0x4ccccafe, 0x680b9796, 0x2a6ee114, 0x48ad5813,
+    0x22671ff7, 0x905697f1, 0xa244f512, 0x13daeecd, 0xba525a82, 0xcaee9546, 0x1573131d, 0x68968788,
+    0x051abf47, 0x3fb9025f, 0x6287dca0, 0xdee9d389, 0xe92196e5, 0xdad76f6e, 0xc74aff14, 0xd2a9db4d,
+    0x6234439d, 0xa9350a94, 0x49ff77de, 0x41a50a56, 0xf498fc42, 0x5d9ad9b8, 0x01ed0ad0, 0xd2783e7b,
+    0x08e22989, 0x757d0805, 0x7215b242, 0xa228da5b, 0xae9ba40b, 0x42e2f282, 0xe6d89024, 0x0d604209,
+    0xade12e8c, 0x3af81427, 0x87d8dc9b, 0xdea82344, 0x51eb381e, 0xaa9afec5, 0x90d54de8, 0x32b73b90,
+    0x21edf5b0, 0xff62ade9, 0x432f0e95, 0xc9098792, 0xc1403674, 0x7200da9d, 0x708f48e7, 0x8e611202,
+    0xcddac60f, 0xe4aaee90, 0xabeb51e8, 0xe0f295c3, 0x66aa5d4a, 0x692f6d3f, 0x4bdbf6df, 0x9d1128bb,
+    0x0b95410e, 0xcb271e97, 0x58a3f73a, 0xf883a8f0, 0xbfbfed1b, 0x2fec5128, 0x1a9652d4, 0x784368a1,
+    0x549fe7e4, 0x50e35b90, 0x2746a997, 0x942f612c, 0x1c35eb6f, 0x6dadcaf6, 0xccf30851, 0x83abcff6,
+    0xa0a225cf, 0xd048fd41, 0x2462ec35, 0x09a7bddc, 0x52d1363a, 0x40314bfc, 0xa0664ddd, 0x42a023f3,
+    0x143f9396, 0x0356f229, 0x945d1217, 0x2d235b98, 0xbea051c5, 0x5bc5933e, 0xcd9ac2ba, 0x0800e698,
+    0xf46fd7b1, 0xf1b01295, 0xf7477411, 0x562d75ef, 0x0bfcd724, 0x2c35c4ef, 0x51e2acb1, 0x3fc83c19,
+    0x89f41069, 0xbbe1e796, 0x3814af99, 0x26cb0573, 0x9927a712, 0x1fe202a7, 0x98e189c9, 0x531cfacf,
+    0x8cfca56f, 0xee6a5a10, 0x5c1645b9, 0xb9fdb658, 0x73b3633c, 0xb585f24a, 0x904720ba, 0x351a6979,
+    0x68bfdecb, 0x1b67f4fc, 0xa01c7e66, 0x30c80f27, 0xd1078a4f, 0x89634269, 0x1c662c1c, 0xea191012,
+    0xf897db15, 0x76195594, 0x84091868, 0x70dcb519, 0x6a88ca73, 0x2a4661c5, 0x3c5d33fa, 0xb063c74b,
+    0x5a815b2d, 0x1720fb19, 0x73ef88cd, 0xfe383f79, 0x41f7c679, 0xf664f8a5, 0x4acbee6d, 0xbf31b8d6,
+    0x96ae3594, 0x040c26a7, 0x2a8d7982, 0x58958762, 0x0368d7b1, 0x03a477c4, 0x28ef6fbc, 0x0e9011d3,
+    0x5bb9955f, 0x13405bb3, 0x72802a98, 0x5f5d070b, 0x8b7c7ebc, 0x855b5e09, 0x01c9bb24, 0x832740f1,
+    0x81b2cbd3, 0x7b44dd3d, 0xc3404d86, 0xd4208a6b, 0xb6df8be7, 0xffe29903, 0xc48e0b14, 0x2334428e,
+    0xc02d6fb0, 0x83a41d1f, 0xd84ad8c2, 0x6907153a, 0x4b1e9bb0, 0x70a074b5, 0x309b2e3c, 0x1045d4eb,
+    0x09d13d5e, 0x27fcb19b, 0x0f8476d9, 0x4453b4f3, 0xf1eb01a3, 0xd974e0d3, 0xaade9914, 0x9bb7a66a,
+    0x249ec15b, 0xf4eb35a1, 0x33eb8ee4, 0xd9a7f138, 0xd248f480, 0xe83623a8, 0x7813fd57, 0x429aec0f,
+    0x0f3e1df4, 0x57f69d47, 0x467ed126, 0x1b85c6e8, 0x084cc613, 0xa6b3ce23, 0x4d440a8a, 0xb3ab03f0,
+    0xb50e1966, 0x8a016f30, 0xe619e291, 0xc4b183d0, 0xe4a80274, 0x98cfae97, 0x27f925f2, 0x0e0ba1dc,
+    0x7b6ac3cf, 0xa26b8038, 0x04adb5a1, 0xe0ab4b8a, 0xf4ab8c2d, 0x40347e55, 0x0035b7e5, 0x47e56266,
+    0x3a2cd634, 0x771829a9, 0x3ffd71d6, 0x7ec8844b, 0x5da83a82, 0x15581f91, 0xf8390e6c, 0xc288ffb6,
+    0x0058eb47, 0x6ebcaad6, 0x35d5f2b3, 0xd7c00149, 0x692d8d68, 0x79cb26aa, 0x5bfcd2b3, 0xe061e105,
+    0x9cb4b5bf, 0x1a7c9e46, 0x2c966930, 0xb6212879, 0x425df717, 0x33bb9c5e, 0x55bf5283, 0xd7f61c8c,
+    0x14ac2efa, 0x12141a4f, 0xdd70ea52, 0x99dbdfd0, 0x168afc31, 0x666abe2c, 0xde454e9a, 0x5f37923b,
+    0xdb5cc4b2, 0x74419752, 0x7928b0bb, 0x188a1242, 0x982e89f2, 0x4e10fef2, 0x25f14e13, 0xfce9841a,
+    0xdf28e644, 0x9d5874b5, 0xde66e2aa, 0x6d63edff, 0x62e7759c, 0x43773105, 0x98dce555, 0x159d6579,
+    0x4bc65108, 0x39ad676c, 0xa97396e0, 0xfdd99ecb, 0x23365789, 0x9e613b9f, 0xf518bf35, 0x8865431d,
+    0xf3404b87, 0xbe3e493b, 0x5e87548e, 0xde3ddb81, 0x3ecb140c, 0x24b2e46b, 0x1bd9a337, 0x9ceaaba5,
+    0x6859029a, 0x74d673f2, 0xff40f979, 0x3a0f0024, 0x3104169e, 0xdbc12dc3, 0xed3f09d1, 0x88574590,
+    0xa496951d, 0x87991864, 0x61fa4dc3, 0xa3c2a767, 0x862e0b4c, 0x0a97f769, 0x10528cf5, 0x36ad0b3b,
+    0xc6eae41d, 0x36487358, 0x273e58cc, 0x70945dfc, 0x65711077, 0xb0aad456, 0xd710dec1, 0xb1268317,
+    0xa1a8976a, 0x0cf6ea82, 0x7d8a025d, 0xf73a8aac, 0xfd200684, 0xec6fa13d, 0xe58fbc88, 0x1c07574a,
+    0x99ed7b89, 0xaa675f66, 0x820b8e9f, 0x20722ace, 0x3f79e9de, 0x7df4352f, 0xd8c56cd1, 0xbfb77cd6,
+    0xcce482ce, 0x4ebe4a53, 0x35adf810, 0xa4970ca9, 0x22938835, 0xc353e501, 0x4bdc8527, 0x7a4c3554,
+    0x8d2b164f, 0xbc973d03, 0xbcdf5e9f, 0x2ab0760a, 0x3c976173, 0xd128d6a7, 0x714c3009, 0xd5ddcee4,
+    0xde8a461e, 0x6deae610, 0x51102603, 0x00515508, 0x25d11802, 0x116d2e56, 0x0598aab7, 0x95684dc2,
+    0xaa0991b6, 0x00081d05, 0x13ab241f, 0x2cfd945b, 0x435a529a, 0xfbfaa59e, 0x81839aea, 0xeca38dcb,
+    0x5ea841d5, 0x3057c771, 0x7712cb31, 0x92a4104c, 0x7ddf280f, 0xaa2953f0, 0x8972b323, 0xe39fa5d0,
+    0x0d18e0ed, 0xfba1da53, 0x661c798a, 0xf1d9c9f5, 0xc84ea139, 0x556adbdd, 0x95bff1ec, 0x189d28b4,
+    0x3e578844, 0x9b699d16, 0xa3b39736, 0x5aceb64c, 0x9a80e0c5, 0x18ffa7fb, 0xccb519e4, 0xa5a219e1,
+    0x3059d927, 0xbc45c1e9, 0x00144354, 0xe330c4f2, 0x8ce3f098, 0x9ba6d47f, 0x5a1db12f, 0x46128b30,
+    0x2c7fee80, 0xe5ef4741, 0x1ca82768, 0x41d0e27c, 0x76899857, 0xa36d18d7, 0xc2e69a02, 0x8103116e,
+    0xa233bd2f, 0x8876ff5a, 0x9b2d3e2d, 0xb6da5ae8, 0x1a974799, 0xdf51f40c, 0xce9a546d, 0xb3e555ed,
+    0xf00e21ce, 0x6da8cb97, 0x94365577, 0xab02aee1, 0xa18ca639, 0x8ab77049, 0xd5ee1474, 0xb4c4d598,
+    0x00000000,
+    0xb16e4952, 0x01c84c52, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000026328072917139296674479506920917608079723773850137277813577744384 */
+  { 0x00000000,
+    0xa6df07f2, 0xf9d3b0d9, 0x12883944, 0x52a943eb, 0x2812daa9, 0xa3e20c5e, 0xd3af13e7, 0xd453ddab,
+    0x25ba2956, 0x46a90673, 0x7df105cb, 0x7c865473, 0xcb16e77d, 0xd5a4e625, 0x9d457048, 0x745bfe83,
+    0xa8adc737, 0x4a77a983, 0x32b3b384, 0x7aac0be2, 0xa954cd2b, 0x388d0fee, 0xdae21e4c, 0x745d9d7e,
+    0xd360c772, 0x7dda747d, 0x5f176267, 0x75f52cc8, 0xfb4bf3e2, 0xdf9edef8, 0xd13cfa6a, 0xf20230eb,
+    0xc64be436, 0x7b63159f, 0xb7d2b22a, 0xf714a48e, 0x88e267aa, 0xb5e68c4b, 0xf565a2ac, 0xef572164,
+    0xffca2091, 0xd6667001, 0xdf45ef49, 0xefb75fe9, 0xd32b45e9, 0x9f58ea26, 0x5dcb0be6, 0x4880f7c6,
+    0x59cfb6c8, 0x06877042, 0x264e8f2e, 0x12302e55, 0xf88f7ab3, 0xc102da70, 0xd1debbef, 0x67ab3d78,
+    0xd7a80720, 0x91edc115, 0x213bbdbd, 0x0b6eae9e, 0x5cc07d2f, 0xbfc4731d, 0x61cae311, 0x9dff496f,
+    0x11548be6, 0x4fc70f87, 0x8a4e8c0d, 0x33649746, 0xef924913, 0x327f807a, 0xd0c2def6, 0xbe2c639d,
+    0x32ff0728, 0x9efef327, 0x1c16b03c, 0x8d593614, 0x8a87d9db, 0xb9f08fa3, 0x90f6e848, 0xa65deef5,
+    0xf162d785, 0x1d4e725d, 0x93ee8a90, 0xaf3a791c, 0x08e71eba, 0x8328bf72, 0x29c6ee95, 0x8cc73e26,
+    0x235a9667, 0x68399bba, 0xc9f97342, 0x7fec2ce1, 0x97e6592e, 0xec3a5838, 0xca7047cd, 0x79eda744,
+    0xd3a82969, 0x726aaced, 0xffa80f29, 0x8d8b0e07, 0x5b3c3997, 0xbc6c1129, 0xaeb8d2a9, 0x9b6792e4,
+    0x0d349644, 0x354ee3b7, 0xb4249013, 0xaf5f216c, 0x491f893e, 0x5a8d23ae, 0x4da01af3, 0xc917bc80,
+    0x46c26aa8, 0x55ee4141, 0x7790b909, 0xd75fd325, 0xe2f01b76, 0xd0203026, 0x3a692667, 0xeef811f7,
+    0xb7c85479, 0x349705bf, 0x08ff70b8, 0xa707a80d, 0x896ab32e, 0x48ddd87e, 0xa8da0387, 0x6220438c,
+    0x006c3bf1, 0x58c2bb89, 0xf75cb48b, 0x61d2aab4, 0x6e4c0d17, 0x4beee569, 0x1ff16059, 0xec43bf0a,
+    0x48ae2bc7, 0xee9bc5d2, 0x287e0459, 0xeeabeb89, 0x447b33f5, 0x521f6405, 0x9e69a0db, 0xedd2cfe1,
+    0xbcfd6aa7, 0xfa7208b8, 0xe19e8cef, 0x8b9cc2ea, 0xe28448f4, 0xd3d212f3, 0xc9ac042a, 0xe613214a,
+    0xf13d2bd1, 0xbc900bde, 0x23c5b4f6, 0xa2c7c8fc, 0xdf9c0b0d, 0xe932659b, 0x609222c0, 0x1ce3f970,
+    0x57bd71ae, 0x62dcd028, 0x14d4de7a, 0x9ae476a5, 0x2ebfbe4f, 0x94bcb426, 0x52e9be1e, 0xdd46d918,
+    0xfb570f21, 0x3ee865b9, 0xd50334b1, 0x33deab73, 0xcd117a36, 0x2ed54dca, 0xa975a887, 0x3319a8a0,
+    0x6c13a0fb, 0x2356768d, 0xf7b9c6a6, 0x64896de1, 0xddfe766a, 0xc664443e, 0xe28e3f7a, 0x48b0e0ec,
+    0x02339a80, 0xcfaf21a2, 0x6ce2dc43, 0xe54743b5, 0xe146b189, 0x7e52bc9e, 0xc1fa74a9, 0x628bb190,
+    0x93df6d82, 0x98887782, 0xfd776ec7, 0xfc1375b9, 0xba09b4e6, 0xeeebe362, 0x8c46ea17, 0xadcbe8cc,
+    0xd9de13fe, 0x311e3e61, 0x3a464519, 0x0dfca844, 0x7fad574c, 0xfbc211a8, 0xad2ecadc, 0xc4c99280,
+    0x973ffb3a, 0x293a2d20, 0x97c47e4c, 0x61fb50fe, 0x45b8404c, 0x38cff470, 0xa7174399, 0xb842dc68,
+    0xf44ca46c, 0xfa23892b, 0x1b26b8f0, 0x4c920f4b, 0xd6e16080, 0x70c8772d, 0x46b87b31, 0x69d61670,
+    0xaa4c0522, 0x8308fe32, 0x6a1156d5, 0x5fd111ea, 0x57b058c5, 0x98ef48f4, 0xe5591005, 0xd559ced7,
+    0xe202ad27, 0xb115a9b6, 0xad3561e0, 0xdcd20a15, 0xbc3c534f, 0x070e6bab, 0x9297b9e0, 0x71e2898a,
+    0x4d9b5808, 0xaab6310d, 0x721c7033, 0x08a7d9ec, 0xcf735045, 0xe4d2209d, 0xc7547a65, 0x9256848d,
+    0x290d8323, 0x0e55620c, 0x4eb02db4, 0xa34a79ca, 0x2ce1cd85, 0xd5485a96, 0x02333163, 0x079d4364,
+    0xcbf61b7b, 0xbc2a33ad, 0xd17baa73, 0xe16ae35e, 0x3083c117, 0x99d30a44, 0xa1f07e56, 0x170e92da,
+    0xe10b2ee0, 0x772172aa, 0xc35ba85b, 0xd0958c33, 0x824fb35b, 0x6ba12279, 0x49cdd6f5, 0x9c72ee0f,
+    0x524b599c, 0x39abaf34, 0xf1aa50c2, 0x04a00a53, 0xae42ab46, 0x5a292680, 0x2a5fb6f3, 0x87d55457,
+    0x2fa153b1, 0x940713a0, 0x0a8e17c1, 0x8657d6c4, 0x9f830e84, 0xc208e1e5, 0x5fd23502, 0x4630c684,
+    0xefb15407, 0x9d11e896, 0x46f1a741, 0xdba8a313, 0x81834feb, 0x3925f37e, 0x2ed5c2b5, 0xc3f9bc7b,
+    0xf3d2ddae, 0x43ed033c, 0x7179b45c, 0x2bfb89cf, 0x91e03471, 0x28f340f7, 0x47c33573, 0x22a39729,
+    0x45e29e3c, 0x871d7b82, 0x6256b543, 0xb1e51549, 0xf264aaa5, 0x31f83c3f, 0x9115fd1c, 0x6100b7b4,
+    0x025e7069, 0x97ca4a6b, 0x9ee331a8, 0xf46d386a, 0x3d3c032c, 0x7b001ffa, 0x88dd6f33, 0x6100f477,
+    0x57dc5856, 0xfa4506f4, 0x4565ebe9, 0xb10bae8e, 0x8ff9b234, 0x78262959, 0x991d6f28, 0xfb109e48,
+    0x03e70581, 0xed74aec6, 0x50c9ac03, 0x6f50dec3, 0xf81dba1e, 0x7dc9ec39, 0xd603a8df, 0x3da73869,
+    0x1d6e607e, 0xcdd69390, 0x17aadc43, 0x22c02d30, 0xb2887201, 0xea316231, 0x25b1e6cf, 0xbefeddf0,
+    0xe0c8c6f5, 0x15f6ceb6, 0xd0c2bca3, 0xc5b7383c, 0x700e35f1, 0xa9fb5cc4, 0xf598175e, 0xfbfb28b6,
+    0xe26a2487, 0xa6d7d21f, 0xb246f5db, 0xb0edb799, 0x1f436a20, 0xfc7fa802, 0x215d7090, 0x1fd911ae,
+    0x18b1c932, 0x83e708b7, 0xb9006903, 0xc130629c, 0xb12b0958, 0xa9913ded, 0x67279de7, 0x4dcbeb7c,
+    0x6f8b3e05, 0xe1ee0b8a, 0xd31c443b, 0x9988bf05, 0x25a064a7, 0x25a35724, 0x771f1624, 0x1c0c95cc,
+    0xccc25eea, 0x50d5ae69, 0x77e13b24, 0xf8aca778, 0x084fe822, 0x0d881bf9, 0xa53f930c, 0x83909334,
+    0x01a15660, 0x0a4cb017, 0x4bb48c20, 0x8a845ec0, 0x664435ca, 0xbd4dc949, 0x4a760b17, 0xbbc1b8cc,
+    0x6633a850, 0xbb2c0bd2, 0xed360e5c, 0xd9910440, 0x60f64e63, 0x2476983e, 0xd812e182, 0x92b15449,
+    0x1153a12c, 0xc3621d03, 0x6ff0e302, 0x03439d0e, 0xca563a4f, 0x0aa9005e, 0x3128fbc3, 0x2aa6be91,
+    0x4f22701b, 0x8e77ef9b, 0x14b5c27e, 0x0469a023, 0x310e5037, 0xf105e873, 0xd6942b55, 0x347eaeb5,
+    0x165400fb, 0xda52f418, 0x52f98ae6, 0x8be5ae14, 0x05a53220, 0xb1070c5f, 0xb057d980, 0x5c544fb0,
+    0x5bd7ec64, 0x2758cd8b, 0x3b0c68d9, 0x8078bfb2, 0xabe071c1, 0xc9cb6abf, 0x2d45de30, 0x951e71b3,
+    0xaf2d5917, 0x6df59dde, 0x4101e6c2, 0x19773383, 0x7806f692, 0x0d2b066c, 0x3710c95f, 0x105d1f0b,
+    0x68ff9183, 0xa9a10830, 0xf1fe6671, 0x7d7a6b5a, 0x0d380a8b, 0x65dd0009, 0x8bebc3f1, 0x64b51c17,
+    0xac75f4dd, 0x4ecdee59, 0x83820936, 0x30dfde3a, 0x9f543f5b, 0x860ff3b2, 0x7de25ec2, 0x6a93b8a5,
+    0x28711d9a, 0x867a48d0, 0xea51d846, 0x7af8cb73, 0x3a187b93, 0x126269df, 0x7f1e7bee, 0xbef4ab30,
+    0x56a06070, 0x994c2113, 0x65997f87, 0xb1c288c6, 0xfdebb37f, 0xd2bafa24, 0x78ae008b, 0xe375998d,
+    0x61988861, 0x86cbc940, 0x68fcbeae, 0xe1ad2ea8, 0x481cac73, 0x811927b4, 0x52b64490, 0x05ea9174,
+    0xf1861976, 0xa2f824b0, 0x22125c73, 0x5d3ae2e1, 0x457bd6ac, 0x984c878c, 0xb91291fb, 0x44238666,
+    0xccbed8fc, 0x863fd52c, 0x0f8775e4, 0x35570635, 0x589c52f2, 0x1da12622, 0x855bb537, 0x64a1462b,
+    0x9a27766a, 0x62cf5a66, 0x604f958a, 0x9a25d0b8, 0x5bcc2da4, 0x4afb301f, 0x7de83db8, 0x81b1a501,
+    0xa3f0ecd3, 0xce203c9c, 0x7250720c, 0x0a1ca476, 0x61c5ba6c, 0xa88b6dfc, 0x83f0c8ed, 0x9f1e1275,
+    0x40283688, 0xe4c1d128, 0x69e3eb8b, 0x151dfe17, 0x9c185ee9, 0x51a6c3d8, 0x192d40d9, 0x1dc91683,
+    0xc7b9cf83, 0xf61cbdf9, 0xcc3635bc, 0x26f91ccd, 0x37b8dc43, 0xe305893d, 0x34f6ca7e, 0x59fee40c,
+    0xe5175cc8, 0xa142da8b, 0x600f648d, 0x8867d72e, 0x062bf7e5, 0xc11568a4, 0xa9ad3501, 0xcfd0dcba,
+    0xc8861bc6, 0x07c62b45, 0x08074d5f, 0x8c9025ae, 0xe14f4401, 0x62383def, 0x86484ea0, 0x38701c85,
+    0x26ea9901, 0x5d96f670, 0xe8545f52, 0x3b0e302e, 0xaa5a14b9, 0x56826d0d, 0xa6f5a53d, 0x575b9b1c,
+    0x5b9e6a3e, 0x66af6219, 0x7b44995f, 0x04912994, 0xd6fe2ee3, 0xa2ad93ac, 0x37903d71, 0xe271cd67,
+    0x6724289d, 0x40a6f4ac, 0x695ac284, 0x9e7970b6, 0x170929be, 0x9e844a86, 0x94f3c7b1, 0x5efc9aec,
+    0x1eab5802, 0x116d7b5a, 0xc66f4d03, 0xb615b46a, 0xf79ae9ab, 0xbadb661f, 0xfd5d424c, 0x945e498e,
+    0x4e06c925, 0x376f8d62, 0x6e5b96b2, 0xea4bcbc8, 0x0e6868ae, 0xc2fcc6c2, 0x44eff7e2, 0x8315f0b6,
+    0x7d7dd750, 0x41243a46, 0x5a84b86a, 0xe4e50d8b, 0x781943ae, 0x13e4344a, 0xda0f1e0e, 0x4ad1b77b,
+    0x64505f17, 0x2084197a, 0x36cda4b9, 0xc068582b, 0xffbdbcdc, 0x426984cf, 0x08f1d021, 0xf649827a,
+    0x2db4d9c0, 0x5783486c, 0x0fd801d0, 0x31ae4015, 0x856552fc, 0xf0c8b063, 0xbd1e3990, 0x3b8a84e6,
+    0x111a99a8, 0xffd2b9d6, 0x3d1d7404, 0x5ac019c1, 0xcc045a7c, 0xa2198151, 0x0363a725, 0xde93f108,
+    0x0cdd8cc1, 0x9105b1e1, 0xb08bdd07, 0xb1a3bc32, 0x149fd4a3, 0x506a7a82, 0xa2d1a807, 0x1ed067a4,
+    0x380adce2, 0x54f42a1a, 0x557c3877, 0xfe20e0ea, 0xe3b42cab, 0xcedca6ea, 0x778a1f62, 0x8f2b6822,
+    0xdb7a6ab2, 0x2555c43d, 0x500fdefe, 0x7ad30c69, 0x04532bee, 0xb6f10553, 0x90208d44, 0xcbb61270,
+    0xfc729a5c, 0x15291125, 0xfa9026e9, 0xb7a0a575, 0xefb413a2, 0xf7c50caf, 0xbc914565, 0x9bbd01eb,
+    0x434d5ddb, 0xdc14f46c, 0xe7e0d120, 0xb458fcf2, 0x3ab2dda7, 0xc81b24df, 0xf2fe96fe, 0xbb0a3a32,
+    0x1a6fd7f2, 0xa6e12e54, 0x542353e7, 0x4ef120c5, 0x1307d3db, 0x74c22eb9, 0x755a6f04, 0xe1d67477,
+    0xd17970f3, 0xa4bb9f04, 0x2659dbab, 0x7d739611, 0xc094187a, 0x56c06a96, 0x83d33067, 0x9a53c658,
+    0x07339eef, 0x633bca2d, 0xa32cd766, 0xa1c8eb91, 0xac50e0aa, 0xfc0d1972, 0x41699a26, 0xb59f5ddd,
+    0x2bccb180, 0xd966b06f, 0xc667001a, 0xc87167a1, 0x51ecf6b8, 0x2c20d64b, 0x1c5311f1, 0x463844aa,
+    0x3045f951, 0xfc0c95c2, 0x66def61b, 0x38702226, 0x1fa94488, 0xa183160d, 0x60bc1cf3, 0x88ef2b74,
+    0x7a75fd6e, 0xcdff5de7, 0xf081a294, 0x38f0363d, 0x6012d9a0, 0x4a82e98a, 0xce3c0185, 0xda6cfdea,
+    0x26f54911, 0x185423e9, 0xbb01ab6c, 0xef506055, 0xc184f9a6, 0xf04a239c, 0xec47075f, 0x20cffafa,
+    0x0ac892b4, 0x2699c364, 0x5177da82, 0x3df9773c, 0x2e34baf4, 0x9e587a58, 0x03de4ed3, 0x129893b6,
+    0x5d2b85a0, 0xe508d3fb, 0xb78cb9f4, 0x4c049fb8, 0xf5aed856, 0x69a01092, 0x8e881545, 0x06be4129,
+    0xaa52f40d, 0x0c46589d, 0x12c1f8be, 0xec7d7fd2, 0x67dace50, 0x59c62e39, 0xe80c44e8, 0x091433f0,
+    0x869a1d1f, 0x8629dcfb, 0x0e8d7cdc, 0xa6b40ecb, 0x2c411314, 0x6f9dcc9c, 0x34827830, 0xeb266f1b,
+    0xeff25fb5, 0xbf559ad5, 0xa1746b4b, 0xb6bb299f, 0xc704ff45, 0xccfb94aa, 0x2ad2d34d, 0x4006c36d,
+    0x1ec046ae, 0x5b29b352, 0xef6b4d4e, 0x3f824d84, 0xaacb9168, 0x6ce00943, 0xb522a897, 0x5fb0bc14,
+    0xe7d455c8, 0x11e80648, 0xb4da93dd, 0xfabd1b9e, 0xcddcd41b, 0x3eaa0d24, 0xfe8f532e, 0xa1076f19,
+    0x44005303, 0x2ad5ea92, 0xf709cc6e, 0xef3c6927, 0x44f74017, 0xe94d44df, 0xf2235532, 0xab0d9dc8,
+    0x6b0cdaf9, 0x281b272d, 0x0c6307f5, 0xd03fee7f, 0x35b9185c, 0xdd351685, 0xabc04c5e, 0xaccff8b1,
+    0x1c1b8f6f, 0xabbdccc3, 0xafb190d1, 0x424281ef, 0x8b8af7c2, 0x676c661c, 0x71fa4fff, 0x9d68d010,
+    0x5f83d0ce, 0x6d3e48d6, 0xbcd862a6, 0xe67b6bd5, 0x412173a8, 0x707e14de, 0xa93d5bc2, 0x681220d4,
+    0x57399a6f, 0x2fb5ca5b, 0x5b861e63, 0xb2420d72, 0x6c3558c5, 0xb203d1c5, 0xe9102c3a, 0x1884801f,
+    0x1d4b26fb, 0xca5b04b0, 0x45daf174, 0xa7afe225, 0xc6668fc5, 0x234e5e7f, 0x936633b7, 0x2facef9d,
+    0x42639e9c, 0xf5f59324, 0xd667ddd6, 0xf07de74d, 0x999fb9f6, 0x41e1e8ce, 0x2c3236e1, 0x3c1e3f47,
+    0xac8a77f8, 0x30c97926, 0x7e2c74f6, 0x5d7b285e, 0x1dee3a20, 0xe51a9cb1, 0x74305b44, 0x09178038,
+    0xd66e1f69, 0x4c526285, 0xc14885cb, 0x36f43a1b, 0xcdea679e, 0xbf5c6e3b, 0x86a58a03, 0x9ee7f983,
+    0x647f2c7d, 0x856ea2a4, 0x3cf2bfae, 0xe33b7109, 0xe68c952a, 0xc6858653, 0x85e1fa77, 0xe0d039f1,
+    0x1141487d, 0xc001f450, 0xd00d01f5, 0x968b1e26, 0x38fba6f4, 0x42487e0f, 0xfddfce8f, 0xf0ab1431,
+    0x56d91bcd, 0x8dc0abfd, 0xedf3f9a7, 0x3cbce98e, 0xf14c9ad9, 0x3c039ba4, 0xe3742c2d, 0xe3fb3367,
+    0xc01f64df, 0xdd934ce1, 0x7d3383b2, 0x82de061d, 0x288c244c, 0x42e19be5, 0xacab0c98, 0x05aa4654,
+    0x48c260bd, 0x874f2cfa, 0x4c58b816, 0xc77cdacc, 0xfa4730f4, 0x4712231e, 0x851d05b2, 0x2a5f44fc,
+    0x759e3243, 0xc3b033c8, 0x8e5b32e3, 0xa1337931, 0x92d24cf3, 0xaa892782, 0x69c9e74e, 0x0e4bfa2b,
+    0x305f6326, 0xd59cf270, 0xda8f48eb, 0x5d22d66f, 0x0df71c97, 0x52bbe947, 0x99444ea2, 0xee4a7100,
+    0x0149965c, 0x4f9d97ff, 0x000eb977, 0xbf2ae59e, 0x0cb6325f, 0x46795626, 0x5cb92e64, 0x6a1d4f39,
+    0xe886d20a, 0x9c2ce955, 0x7fbf387c, 0x2bb29c90, 0x7373cde4, 0x67987dfd, 0x15184383, 0x1628141f,
+    0xf6a4f765, 0x1f71d110, 0xbed6a747, 0x660357c5, 0xeb7b4206, 0xce440c3c, 0xc6725d6d, 0x4df854ab,
+    0x9f99b804, 0x56213d02, 0x68505149, 0x77ef438d, 0x84d5ee16, 0x64aa84a3, 0x183ec187, 0x0443a2b2,
+    0xf7824961, 0x8fcb7c5e, 0x2c9ffb4e, 0xc3fe3e27, 0x07fd7053, 0xf592a01e, 0xe95e9de0, 0x5c2e7f1a,
+    0x26588582, 0x7b1e48fb, 0x50cb00d9, 0x4207dac1, 0x4b485aca, 0x36beb6b8, 0xcc7ddee6, 0x77a137aa,
+    0xea5bc2a4, 0xcef00c5d, 0xac8512e6, 0xa2479a79, 0x23d7c2ba, 0xe97a4c8c, 0x50821c80, 0x865b24fa,
+    0xa2e02315, 0x71c94311, 0xae6327fc, 0x6f129914, 0x8b8e80d5, 0xd0d3f1e4, 0x3840c609, 0xa047916e,
+    0x5b95da54, 0xb3e5c843, 0xbc7601c6, 0x7df2f59f, 0x23e01c3d, 0x4a8ffcbf, 0x2bc4db33, 0x8440e10b,
+    0xfd58661a, 0x79517372, 0x61a47b8d, 0x0973d09c, 0x494bdfd9, 0xd998eeb1, 0x9bbeab3f, 0x7344edf7,
+    0x354d9390, 0x7febb597, 0x58aac364, 0x548107f8, 0xac1c0262, 0x1d9921a4, 0x7701bb19, 0xf5c9f236,
+    0x0d49bafa, 0x5a815ea6, 0xb6d6373d, 0x167b7dc7, 0xe6316752, 0xac73bd0f, 0x3f7c0f89, 0x6ddde62f,
+    0xfecd93e1, 0x934f6913, 0xdcf1a58e, 0x04f6d686, 0x4cedc1f7, 0xc7246cdd, 0x0caff2b8, 0xbfa6e48e,
+    0x6f5e9795, 0x9eeec26a, 0x344c49a2, 0x416267df, 0xc5b95065, 0xccd26624, 0x62421687, 0xd71ed9d3,
+    0x00000000,
+    0x58b724a8, 0x00e42629, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000013164036458569648337239753460458804039861886925068638906788872192 */
+  { 0x00000000,
+    0xd5135247, 0xf0f13673, 0xa9786a56, 0x7bfa2a9e, 0x00a4716d, 0x40bba8f6, 0x4934dff7, 0x77c08208,
+    0x0583a6ad, 0x79e11ade, 0xc102e67c, 0x3d544cd4, 0x60b5ce95, 0xb9702b49, 0x890a6b4b, 0xd5a94ef5,
+    0xfc57ca30, 0x0d170202, 0xaf97b0af, 0x925d07e5, 0xd3d2b07e, 0xd85eb8f0, 0xe832b5ee, 0x4f3a7acd,
+    0xc8fd199b, 0x6e9f04de, 0x4c2629e5, 0x72e7c9d9, 0xaf02b491, 0xc85802bb, 0x31c1ccda, 0x083b3df2,
+    0x48ecfd1b, 0x931ddd28, 0x5d8063de, 0x0443d2f6, 0x17f179ae, 0x2b72fedb, 0x72747e1e, 0x42122302,
+    0xe0bbe4a5, 0x3889da3d, 0x4b7c347c, 0x958d65c9, 0x8a4d1a23, 0x0a93fb6d, 0x085f5de0, 0x9c3d8b63,
+    0xdf82db68, 0x8150aa0a, 0xf2119434, 0x24acc1e9, 0x611ddd53, 0x50ed1e73, 0xfb0d2df6, 0xe06f3c1e,
+    0xd95ef8ff, 0x162722a9, 0x848f43af, 0x135ddfb0, 0x306ea139, 0x52c67620, 0xf7588d46, 0x65811ec6,
+    0xb2062df7, 0x7022e8c2, 0x5d30b083, 0xb408551d, 0x3f76970f, 0x3ec440be, 0x6e6e9f04, 0x51111694,
+    0x267b436d, 0x8f347793, 0xdbc38ce1, 0xcb1f72f6, 0xe1dfff81, 0x1c3e72d2, 0xa806d1d3, 0x258f4533,
+    0xd82c1b64, 0x40395cf5, 0xb45beea6, 0x4d51b54b, 0xa2e887c5, 0x02dff7c1, 0xc8cb4c34, 0x96b6bc6d,
+    0x73d34538, 0x83c166f6, 0xfe119687, 0xf6673781, 0x894d3a84, 0x78bef61b, 0xa7cbdb02, 0xf88a130f,
+    0x3bbf5cbb, 0xbcda7e84, 0xb74755d8, 0x9a8cda0c, 0x3ec86c92, 0x02e0d3c9, 0xe5f06a1b, 0x4c907461,
+    0x532d871d, 0x1af330f5, 0xe003e87c, 0x9af33b7b, 0x213f6d47, 0x74a155cc, 0x3c7409b2, 0x98b61167,
+    0xa6934364, 0x0d2fcf98, 0x38304c70, 0x69d1ccc9, 0x0da70166, 0xd406f334, 0x6668fda4, 0xbc79eace,
+    0x5b6c22ec, 0x9ca754e4, 0x50f88017, 0xe62708e1, 0x96040b14, 0xde2856cf, 0x8d27a077, 0x13a9e26a,
+    0x9fa3d70b, 0xbce848e3, 0x6357de16, 0xf6237316, 0x9a191718, 0x14e6b6a8, 0xaa569628, 0x5305d07a,
+    0x7d384d48, 0x6a785302, 0xbf345b11, 0x22e51da8, 0x869840e8, 0xd0d50cef, 0x81d23d10, 0x67977132,
+    0x7f54dd3f, 0x5e4dcd5c, 0xa28d6bcc, 0xd843ad49, 0x1bf08f48, 0x2f26fc9f, 0x523e0caf, 0xd5e91849,
+    0x3073e9b3, 0xca0bcbe2, 0xf8acd555, 0x7de79e27, 0x8f7f9ab5, 0xa8647cc6, 0x52e0f912, 0xb861ef09,
+    0xf3aad0b3, 0x31513859, 0x0f2e3e49, 0xac5db293, 0x41621a95, 0x88220c17, 0x6e8bbe00, 0x0e0cc357,
+    0xd8256595, 0xc69e4498, 0x1c9068cd, 0xfd1428c7, 0x37090c8f, 0x7dfbe01e, 0x98f4a5a9, 0xf9465377,
+    0x1293a06c, 0x18f1bde2, 0x3693cd8d, 0x08467046, 0x86aad02f, 0x771b5dbf, 0x51e0c895, 0xed3e2913,
+    0xe583e101, 0xdb1819a3, 0xce77b196, 0x601b928b, 0xb44d1c0a, 0x7c0617f7, 0x0e9ed3e3, 0x4e18aac3,
+    0xa93e3850, 0xa97771fc, 0x06b824e9, 0x0ff04b57, 0x5609c0fc, 0x1c5ab3a1, 0xb319b1dc, 0xe57cf69b,
+    0x773c40be, 0xaddcdf7e, 0xab39ebec, 0xe8d0cf50, 0x73a87a82, 0xcd5a9bf4, 0x535e1294, 0xb2f308d4,
+    0xe7e9a16b, 0x1272a537, 0xf543e85f, 0x75ff666e, 0xb9a67539, 0x577e3f16, 0x4501aa3f, 0xb6ffbedd,
+    0xc609a27e, 0x65e47785, 0x2d09cd63, 0x9f6a8828, 0xcee7be84, 0xa3f79c4f, 0x5f18b6b1, 0x6c84790c,
+    0x02e2f1f8, 0xea813a15, 0x7a5f6e95, 0xe09c671b, 0xd990d393, 0x4a345d34, 0x556d10ec, 0xb217ab97,
+    0x24c1a2da, 0x00ba7080, 0x8f0365d8, 0x43529594, 0xbeab5325, 0xb2a2cc1c, 0x51c93362, 0x262b7bee,
+    0x4673814c, 0x1d72a949, 0x0b762876, 0x9945db64, 0xb016c45d, 0x045dd02e, 0x8f516626, 0x83a6eae4,
+    0x06a66d34, 0x3da485d3, 0xa7dac3f9, 0x02d44980, 0xb785c774, 0x9e064485, 0x67b99218, 0x7c254bd5,
+    0x8f4b85e5, 0x2913fe87, 0x313486e0, 0x79cb009f, 0x155f8162, 0x3e99ad10, 0x9a8f4f35, 0x575773f7,
+    0x603c0e1d, 0x14f3f75d, 0xa6520946, 0x709005db, 0xe9f68cbe, 0xb3afe7aa, 0x8bb75b6a, 0xe11631e0,
+    0x98e9a914, 0x14832f81, 0x1eb0845a, 0xf9121e02, 0x83d0e50a, 0xd83c54e3, 0x48ae4e55, 0x2bf673a2,
+    0x6f291de4, 0x808c0256, 0x26c9c191, 0xf7b53b41, 0x5464e414, 0xac43d1eb, 0xa821dd1d, 0x83853f1b,
+    0xfa68e8fc, 0xe9893811, 0xe6e68b29, 0xd4d22339, 0x486a8c9b, 0x8a35c14f, 0x7ac5719a, 0x22b11139,
+    0xcb11d34a, 0x063c6676, 0x99dec357, 0xd3f368d2, 0x557f0768, 0xbee4df7a, 0xb723d6a5, 0x37ceb1e4,
+    0xbd15cb92, 0x964a26c4, 0x80ba778c, 0x743fde02, 0xeded3437, 0x290cae76, 0x408c3f67, 0xcfa76d1e,
+    0xc03d3231, 0xe4ff441a, 0xd31a769a, 0xc67d2d40, 0x4f38d027, 0x4c0a3859, 0x1b3739e7, 0x12507949,
+    0xa88c1593, 0x777fdb4c, 0x6a3329c3, 0xe54cf78c, 0x825cfe4c, 0xf881f8ea, 0xaa55171a, 0x6d94fb37,
+    0x89a5f02c, 0x97c8bef3, 0xd9991160, 0xb4673da3, 0x597fc296, 0xb6fc38dc, 0x92f61997, 0x0813cf24,
+    0x0369e53f, 0xa641b153, 0x6a8d9793, 0x505c4888, 0x0874492a, 0x1e1f7451, 0x10219bc9, 0x3aa91b21,
+    0xbbebec70, 0x8e3d4cde, 0x04cad72e, 0x06d281c8, 0x958c08cd, 0x20288067, 0xaf06632a, 0x94c299ed,
+    0xa20a3a46, 0xacb9b8c1, 0x0a37f9c0, 0x653de719, 0xf16a7e75, 0x390f800a, 0x2358d204, 0x185809e3,
+    0x648cdd71, 0xdfdf99e1, 0xf9e7aa93, 0xb74170b5, 0x3ef2e461, 0x5d9b5cb0, 0x51aaa05c, 0xdda1c4b0,
+    0xb5e938ae, 0x4d84ccb9, 0xdcbca8be, 0xcc1a1dcb, 0x61fb5af3, 0xe6a21ff4, 0x5f8c7141, 0xa4a1c758,
+    0x0b6d42f1, 0x184631a7, 0x98119614, 0x33b425f3, 0xa044a188, 0xe8c1d9d0, 0xe428ef13, 0x49502844,
+    0xbc5ac4d1, 0x5aac3b79, 0x83040a74, 0xc74eba91, 0x73a28495, 0xf07d14f1, 0x993437b2, 0x30bb6cf4,
+    0xd98f2787, 0xa3220778, 0xa4de6266, 0x812a44fd, 0xf904becd, 0x992e97c7, 0x4a48c907, 0x9e5b795e,
+    0x68022212, 0xa982df59, 0x24d5d3c9, 0x68cf17b0, 0x1334893c, 0xcf1b13ef, 0x70c4f177, 0xe110776d,
+    0x4a762208, 0xf6a7bc0b, 0x90992238, 0x598eed8d, 0x3bdae510, 0x78b1f65b, 0x9d62c82e, 0x61f26b51,
+    0x3221e5b5, 0xda37619a, 0x08ce4c86, 0x27a555d1, 0x6fe9864b, 0xfa9a659e, 0xc4ed736a, 0xee20f43f,
+    0x4f2cb0af, 0x9aae5be8, 0x84935c87, 0xe5b28884, 0x74c72861, 0xaa47c164, 0xb87890ed, 0x60a669e9,
+    0xcc40d07b, 0x2aaacf35, 0x79335006, 0xa630fc71, 0x27e40c12, 0x32c9c4fd, 0x7c5cf26e, 0x512b5624,
+    0xc5db32ca, 0xcbb1b8e8, 0xef261ff6, 0xbf7321b2, 0x657df15e, 0x4a03a6ce, 0x7ed1e121, 0xd26e0e1d,
+    0x486a44be, 0x7255ae83, 0xd2b273ef, 0x207fb209, 0x91499c1b, 0xeb033c31, 0x76ab8046, 0x9798fa6c,
+    0x2ccd9cc3, 0xde7203c3, 0x6d1d02b1, 0xc04fde9a, 0x71ec700d, 0xcd560068, 0x21767219, 0x0a677086,
+    0xe1115dee, 0x569c070f, 0x95945f95, 0x4b08ce76, 0x15298330, 0xaff32fcd, 0xec0801fb, 0x47e761f0,
+    0x435a4be8, 0xeecf0446, 0x558e3627, 0x5941fe8d, 0x196ca126, 0xfb4d7d1e, 0x4fc81f2f, 0x1f1eeaa6,
+    0x791d10f2, 0x95c33c24, 0x3ef83fbe, 0x39b0df8c, 0xb0cf9bb4, 0xe046a159, 0x1eaaa662, 0x5cd6477e,
+    0x77bd113d, 0x2affa4cc, 0xb739714c, 0xec6c30a4, 0xa332df66, 0xc8f54686, 0x5e70cece, 0xf0b52965,
+    0x3f60f606, 0xaeeefe92, 0x105ce4e1, 0x46c16556, 0x0772b392, 0xafca7c14, 0x402719b2, 0xe59d51b3,
+    0x8df4caab, 0x34913ed9, 0x68547b3c, 0xda45f42d, 0x466e6174, 0x75d995f5, 0x2de451d0, 0x3b12f181,
+    0x92baeb6a, 0xcc3e3f3d, 0x535fc6b1, 0x189c820d, 0x3ef5a6c2, 0x9ace4673, 0x1f2b510c, 0x83f3839c,
+    0x45093c57, 0xfbf6db5d, 0x28e622f0, 0xf9989d32, 0x3d52a9f3, 0xbba84209, 0xe0fe8287, 0x58751e28,
+    0x71eea9e9, 0x0f70c7b6, 0xb27a8160, 0x1a46196e, 0x92ff87c2, 0xa3eee179, 0xb2a836bf, 0xd6b0168a,
+    0xaff52eae, 0x4b00b5b0, 0x775f1fe0, 0x4b5fd0de, 0xa03605d2, 0x41c171fa, 0x364051fd, 0x37dd7fcd,
+    0x44fd9bcb, 0x17fadde5, 0x5e6e3b48, 0xc155975f, 0x2fa5bc51, 0xd1643ddc, 0xbdc00928, 0x5a8d6e98,
+    0x0e348105, 0xc96f0f48, 0x09081dbc, 0xa5b185ee, 0x1aff71ad, 0x3628352f, 0x5da1a188, 0x01bfb0a7,
+    0xca4dace8, 0x74753619, 0x79bf8479, 0x93af93a1, 0xba10b8e3, 0xfed9be64, 0xb2046aae, 0x05aadad5,
+    0xa89e7d12, 0x2d6967ad, 0x4197c5d2, 0x70145c96, 0x3e6ad4ec, 0xd69fd38d, 0xb02cbe18, 0xcefb46e1,
+    0x4021169a, 0x4a3ed9c7, 0xe8ecc355, 0xecc0e786, 0x3cc4931a, 0x43b74f4a, 0xbd4861e0, 0xde10a515,
+    0xbb2b4e4d, 0xc476f21d, 0x48090871, 0x592f250e, 0xc974d20d, 0x09cf7494, 0xeee9eee9, 0x70d63d89,
+    0xb6af7e9e, 0x5cddd60c, 0x0298ec9c, 0xad72fa94, 0xaa400c61, 0x9576fe94, 0x76ff79cc, 0x45cf3b57,
+    0x2099fd86, 0x20d35230, 0xa64ffc39, 0x97a1181b, 0x624e0347, 0xfb98ea52, 0xc076241b, 0xda733d96,
+    0x1075ce4c, 0x6e7f878f, 0xc6de340e, 0xa37d2672, 0x3193f20a, 0x6e359b8a, 0x9f17581d, 0x1fd704b0,
+    0xa0054154, 0x99ba680a, 0xa0895bdb, 0xe0133124, 0x0d718df4, 0xa2b4bc55, 0x739a7261, 0x29fc1c57,
+    0x88c1f74b, 0x2cc168d9, 0x14387e84, 0x21436ab9, 0x9fabb76a, 0xfa410f0d, 0xfa1d99ae, 0xb1c983b9,
+    0xf401de49, 0x3c837dda, 0x3bb40d59, 0xf82b4b79, 0xfb1feaf0, 0xce2ca31d, 0xb8ab884f, 0x0dd91df9,
+    0x812b24f6, 0xb901cb5b, 0x2d1d6548, 0x4bba7c73, 0xe9fb6637, 0x9a9a6059, 0x9c8914dd, 0x0d1b8ae2,
+    0x56787e89, 0xd33e9c37, 0x370e6656, 0x2d545418, 0x83b729cd, 0x573f1ee9, 0x705d4403, 0xb9ac9f2e,
+    0xee80ff3c, 0xb5e2eeca, 0xdc533cc9, 0x3a5efb9a, 0xdea3e975, 0xdcd65bed, 0xa8f7703e, 0xae109578,
+    0x334472b3, 0x72f06800, 0xeef97e60, 0xc5f373b3, 0x475e5a00, 0xa2d07913, 0x285a8551, 0x269d5128,
+    0x1259c7b8, 0xcf03d5fe, 0x878f5605, 0x2bcdb796, 0xbf904db7, 0xcf3da7b8, 0x885d1152, 0xdc4e3fa7,
+    0xebf35d88, 0xd0ca3b92, 0x0314a3fa, 0x6c800c00, 0x7944c5ae, 0xebcb6c0e, 0xcd09d4fc, 0x6e17961a,
+    0xa81d3982, 0xa263ae28, 0xcd64cd08, 0x3c86a6cc, 0xb9b70d11, 0x0733582f, 0x77048d3d, 0x009175ab,
+    0xd60a4cff, 0x5672ecf8, 0xa3be7d2f, 0x19947fc6, 0x25b1f226, 0xbe0781e1, 0xf1a53817, 0xc9826eb0,
+    0x8633b34a, 0x54fae0d5, 0x0a52f6be, 0x73404882, 0x5070514e, 0x4a557905, 0xdc36682d, 0xbcd314d2,
+    0xa1d49aa8, 0x821863ac, 0xad5cd401, 0x4e65eac6, 0x685bc32d, 0x8ef1b749, 0x609c03c6, 0x459a9080,
+    0x9e6973ed, 0x22326d8b, 0x3dcb884e, 0xb8a48a10, 0x59c3a99b, 0xd51a7cd7, 0x9e6fb456, 0x9318ea76,
+    0x20f2332f, 0x81792dd2, 0xc8bb74dc, 0xc8c6d4ed, 0xb0b84137, 0x79d62dc8, 0x661f2ddc, 0x03f3b75d,
+    0x3cb191ee, 0x5982cd4b, 0x6042146c, 0xf868d817, 0xb728c834, 0x097fca5a, 0xd617e025, 0x6273e43e,
+    0x488693b8, 0x914aedc1, 0xdb93116d, 0xea9e6869, 0x690dfbbd, 0x0cea5df3, 0x2ed8806e, 0x45d89759,
+    0x143364c7, 0x5c4c9ac0, 0x55ade577, 0x45746e21, 0x81db3d16, 0x10162d87, 0x5d5cc777, 0x776d9204,
+    0x7913b1ec, 0x2c64c83f, 0x80aab639, 0x1252fcbe, 0xbf23eff8, 0x406c9b94, 0x274891a9, 0x54c7b921,
+    0x099c4713, 0x71fa1988, 0x3ee523b0, 0x74e27921, 0x06e854ca, 0x87a04854, 0x7b261e53, 0xc51d5257,
+    0xcd65fc08, 0xa38544c8, 0xc984ef70, 0x2e432d94, 0x3dc88d04, 0xe52f6e63, 0x1a194f69, 0x879bd92f,
+    0x5660ade7, 0x4692dcb2, 0xb5e40d3c, 0xec3996f8, 0x0d03d84f, 0xc18a819a, 0xdf92f483, 0xe5f112a5,
+    0xf73b79f9, 0x2654eae1, 0xff77034a, 0xd9c8e6f5, 0xa62b32a0, 0xe709df76, 0xed9dd823, 0xd096c456,
+    0x95670d5f, 0xf1014c4c, 0x4f058426, 0x9c9d7c59, 0xd18e8783, 0x0ea4bd99, 0x9d98e73e, 0xb9236862,
+    0xcaacc5df, 0xc21518a8, 0x40997cb8, 0xcb8ce253, 0x8574e35b, 0x21d8b392, 0xbd9db8cc, 0xbe27c7d8,
+    0x0b2589fe, 0x2b361007, 0x1c8cd67f, 0x27abf8cd, 0xcabe0465, 0xf62ce7a1, 0x6989718a, 0xe64e67c9,
+    0xb0490094, 0x2da725a8, 0x4981c952, 0xe870b9f4, 0x90471915, 0x208471d5, 0x3aca887d, 0x86dc875f,
+    0x681886c3, 0x75ff43de, 0x2b7a9b69, 0x738840b8, 0xc711299a, 0x17c9d9aa, 0xbf16176a, 0xf042d928,
+    0x6903e319, 0x841848f0, 0x0d858f44, 0x59aa04ed, 0x10062e2a, 0xc1691f51, 0x5d9daaf9, 0x6249ca17,
+    0xb182f7d1, 0x23604b4e, 0x00e99c5d, 0x21b524e9, 0x43448f1f, 0x18098423, 0x90a684f3, 0x57dd404f,
+    0xf3604a53, 0x66a22cc6, 0x4851b4c0, 0x65cd1b98, 0xc7c2a9c5, 0x7c2773c7, 0x92b93872, 0x68c087d0,
+    0x1e4bd730, 0x2f34228d, 0x778b4558, 0x2b15c69a, 0x374ea3a1, 0x0368f176, 0xcbe9782b, 0x3766d7d8,
+    0xb629c7ea, 0x7a965590, 0x8481bc58, 0xfa15648c, 0x2f7e4655, 0xf77e3409, 0x42313546, 0xb1aa23ab,
+    0x12f99f94, 0xd8f3e67c, 0xdd89d363, 0x035b1d83, 0x17745a42, 0xbbbb1512, 0x593766a9, 0x70bf256e,
+    0xc39af300, 0xb74b611f, 0x4fd4af9f, 0x371d7201, 0x0d15c645, 0x8a70a76d, 0x5ad396d8, 0x6f4b87f5,
+    0x518758a4, 0x80cb70d3, 0xd023fbff, 0x21de66a9, 0xb243736b, 0xb1a6957b, 0xd0facba2, 0x4006fe70,
+    0x545c0e98, 0xab39006c, 0x67b662b5, 0xdc235fd5, 0x7a5e1961, 0x0f4eaad7, 0xdfef182f, 0x481b11e6,
+    0xc4a4a405, 0x85dfa749, 0x1936f544, 0x8dd30d86, 0x839aeabf, 0x93a399e3, 0x96ef13f7, 0x9d9a5ab9,
+    0x6571e507, 0xd1446e0e, 0x1c5165eb, 0xd16a45b3, 0x8a9bc032, 0xdd7613f6, 0xe2d6f586, 0x484f0f17,
+    0xe7a47a33, 0x6a42c5bb, 0x20442afc, 0xb9f9fe9b, 0xb0aea2c9, 0x2b980e2a, 0x411a56f5, 0xe6f4bfaa,
+    0x98c446af, 0xfee3fbab, 0x0c4fc277, 0xb4408131, 0xab02e69f, 0x8732bb37, 0x20477e1e, 0x5278e83f,
+    0xd3b36b98, 0xf52d8c4b, 0xa38408e2, 0x79d43587, 0xeb2b10b5, 0x2cbbd957, 0x65e87d47, 0x1bf4fece,
+    0x7623b205, 0xb062295d, 0x1e9ffae9, 0xf71992cb, 0xd6fe868b, 0xa5b630df, 0x6baea781, 0xc62c9451,
+    0x71a5fcc6, 0x5f73c9a1, 0x996f6d27, 0xad5ad1e0, 0xa397e37d, 0x1623c4ee, 0xc70bd095, 0xd7e6b9d2,
+    0xbf0ac97f, 0x8a7a73b7, 0xeef0c34d, 0x31edf0fc, 0xa1edf972, 0x19bb76bf, 0xc052326c, 0x9f3e234e,
+    0xb74ab66d, 0x905ea71b, 0x8c927060, 0x4f0723bb, 0x4de092e5, 0x58619bb9, 0xd590b277, 0xa0410835,
+    0xac5481f3, 0xefb7bef9, 0x4baff475, 0x067a2e29, 0x6cb13c00, 0x3ef3d31e, 0x0bb86ebd, 0xa67a34a2,
+    0x244eb9b5, 0x2f4cf375, 0xcefd8ae2, 0xf948eb3c, 0xc64fa660, 0xc128b957, 0x825e6e33, 0x008e8b4f,
+    0x0232d45b, 0x2ac1c4a7, 0xd33c81cb, 0xb3d3cdae, 0x81d3a7fa, 0xc8a1abc9, 0x6bce3b8e, 0xeaabfab0,
+    0x00000000,
+    0xac5b9253, 0x80721314, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000006582018229284824168619876730229402019930943462534319453394436096 */
+  { 0x00000000,
+    0x80c245f7, 0x0207e73f, 0x231a7bff, 0x5fb46aef, 0x8bee85af, 0x05c4bd97, 0x6c596991, 0x566a6418,
+    0x97daef42, 0x928c70ac, 0xbc27943f, 0xf345a99e, 0x0b91eea9, 0x97bbfbb0, 0x495d8e16, 0x4602d50d,
+    0x7ffa7194, 0x7f71b34b, 0xe2c890ae, 0xbe56bbfb, 0x14bf8ea3, 0x28548563, 0x4550d9be, 0x0232cccd,
+    0x635cd1b2, 0x06509042, 0x038f3e6c, 0x3f87f76d, 0x801de66f, 0xc64b58e8, 0x31226c8d, 0x2e594061,
+    0xf3d2697c, 0xead1327d, 0xf9789001, 0xfa8e5f0c, 0x1c1d4ed3, 0x6955e8bb, 0x02d4ee64, 0x21f124f0,
+    0x8ec44745, 0x2fcb6fb4, 0x9f8c131a, 0x855813d2, 0x4776bf29, 0x5a4bb074, 0x910bb388, 0x6b7abf1f,
+    0xa4da1395, 0xced19e1b, 0xd0f6cce3, 0xfe36a0d1, 0x53c6edb0, 0x8685b6db, 0x452d4f13, 0xf530b2b2,
+    0x3ae8ee3c, 0xa600c457, 0x44e5db4e, 0x60fbbab7, 0xfa7ac49b, 0xe67a0d31, 0x7427525d, 0xbebb6aec,
+    0x0e3b8ee9, 0xbee4dc9a, 0x655f3773, 0xb4d4706e, 0x89fe56af, 0xb5a83792, 0xf0062f26, 0x859832e9,
+    0x291f340c, 0x25db4899, 0xac388bd8, 0xdf2d7390, 0xe1159185, 0x0d667718, 0xf6d16c6c, 0x6155a98f,
+    0x8c0f2e12, 0xb9ef0edf, 0xc29945d1, 0x545ac1e4, 0x22c466c0, 0x5a62c526, 0x68cc5cfa, 0xfb88b58a,
+    0x33ea9df4, 0x7130dab5, 0xaa172242, 0x8b3c058f, 0x9adf6009, 0x119c01b6, 0x54cae6fb, 0xe9c92b68,
+    0xd53f1bfa, 0x7957a8b9, 0x1aabb295, 0xbb09b443, 0xc1799f51, 0xdc9c7e47, 0x88d1129a, 0x4850f180,
+    0x4f3a7e6a, 0x760c2176, 0x29428c7b, 0xb648a5bc, 0x4d643213, 0x813c61f0, 0x6fdfeaa3, 0x179d361d,
+    0xced659d1, 0x22db8313, 0x170ec2d4, 0xf6a2bd7b, 0xe1cdc4dd, 0x08fc2443, 0x936b93db, 0x11b892e9,
+    0x98dc67fd, 0x5a27ff9b, 0xa1953762, 0xcb714274, 0x80056f7b, 0x17242f86, 0xceebba6e, 0x7a4a0067,
+    0xa472edce, 0xb8118668, 0x1679fb28, 0xf465690c, 0x37db756a, 0x6085da0d, 0xecad4555, 0x73fc2967,
+    0xcdc570b3, 0x269aaa43, 0x04465416, 0x8b18988b, 0x13303183, 0xc041abae, 0x1340fb8f, 0x737d9e80,
+    0xba69f059, 0xc613d6b7, 0x4ae3bf4e, 0x3b5f1e0c, 0x01478a07, 0x8ab4efaa, 0xc623b320, 0x973fb4c2,
+    0xbc259b76, 0x43f65e0b, 0xbba99eba, 0xf652d5c3, 0xa8166fde, 0xf636c09b, 0xcf191e64, 0xbc6d7db4,
+    0x2680e078, 0xeae01d40, 0xcdbf6be0, 0x383ed068, 0x15a317e0, 0x60a71802, 0x733b34f2, 0x758d4284,
+    0x1d2f0cf8, 0x2cf77540, 0xabcdeed6, 0x05ec4a34, 0x522b317a, 0x273ae007, 0xa9b97cb7, 0x67753edf,
+    0x7a44fee5, 0x9a7290ae, 0xc4a3020e, 0x5411ede1, 0x0b38d892, 0x66c290cd, 0x0268f660, 0xe234b6e4,
+    0x36718fe2, 0xd36e258f, 0x769d8f8c, 0xf3b16e94, 0x1208d1ad, 0x60af3d1b, 0x918151ae, 0x2b161b04,
+    0xc40cc2aa, 0x0a1dfb45, 0xec1964a3, 0xa3de8c9f, 0x33eb3a2c, 0x581c366b, 0x0a994743, 0x2b539783,
+    0x476c2c46, 0x90189622, 0x4099d174, 0x00466014, 0x545da0bf, 0x32e20a42, 0x53a62d60, 0xd16582b6,
+    0xc56667b2, 0xeee3f8a8, 0xd2366d4c, 0x1025f75c, 0x1c7d28c9, 0xe63a15c2, 0x4f14b5e8, 0xa5f8cbe5,
+    0x49dcf092, 0x92ca1f41, 0xda86be8f, 0x771058a1, 0x49da93ee, 0x8def319a, 0xb155e172, 0xb47da650,
+    0x86a5ff99, 0x8cad1b28, 0x11913dbc, 0x94307044, 0x8238569b, 0x59c34cb9, 0xfa491bb9, 0x8fefdefc,
+    0x8efd74e9, 0x980df3d3, 0x39d6c116, 0x06565389, 0x60d876e5, 0xa613d9eb, 0x3813b24a, 0x08bfcec9,
+    0xd803fc6e, 0xe3ba2a01, 0x8f27de49, 0xfc523297, 0x25ebc667, 0x0c1d2086, 0xbe4111e7, 0x2ebd2e10,
+    0x053730c6, 0x2c02b565, 0xe3cd33b1, 0xac4fb8fd, 0x7a98ff91, 0x7446af75, 0xafad280e, 0x6126f155,
+    0xd93939be, 0x64325a87, 0x0375fa4c, 0xf2d72bbb, 0xdb7280c0, 0x7f332a90, 0xaf9c6985, 0x28c6192c,
+    0xb06bca67, 0x52031816, 0x9182b8af, 0xb536d4bc, 0xc4c45a08, 0x4700fffc, 0x4d6c2e52, 0xad2d87ef,
+    0x913a23eb, 0xe787955c, 0x38e53409, 0x7de4e890, 0xc593e39f, 0xcf947ecc, 0x966cec93, 0xb002bc9a,
+    0xe81fd050, 0xe32c0dd0, 0x1978738b, 0x7c57bdc3, 0xb52fa3f6, 0xcd5046f9, 0xa3608ee1, 0xa8e32587,
+    0x2a3ba6c4, 0x77886118, 0x24d54d76, 0x1a356e6a, 0xf9f6d03e, 0xf45b7786, 0xfcca495d, 0x6d6e2b9a,
+    0xb1cd4e8f, 0x48d8fb3c, 0xc8b517b5, 0x32301c99, 0xc628edad, 0xa9f0b398, 0xae663a21, 0x522c0bb4,
+    0xf3d6440a, 0x39e590ca, 0xd9a5be40, 0x309664bf, 0x0fadfc62, 0x1525130b, 0x5226df15, 0xa37ece9b,
+    0x69dce855, 0x62c22d0c, 0xed27ae75, 0x43c53045, 0x0ee663cd, 0x45c60503, 0x2b5dff8c, 0xf0a1f0d6,
+    0x921928c9, 0x34a44754, 0x8f772bc0, 0xf0df85b6, 0xeaab8672, 0xa12e008f, 0x946deedb, 0x2818d7de,
+    0x91652e68, 0xd360bfdb, 0x95b1c65f, 0xe538d314, 0xc15fa21a, 0x8bbfd5cf, 0xa7c5247d, 0x42d783e0,
+    0x53aefe0a, 0x581fe2a3, 0x363f0b10, 0x016f2b6e, 0x2673a461, 0xfd84c5b1, 0x6e140b13, 0x8b6f2e2f,
+    0xea0ea544, 0x582fb299, 0xe5130d90, 0xa3cccb1e, 0x2af90ae9, 0xa2b305ed, 0x4819f8bc, 0x786ce6cd,
+    0xfefbd4d4, 0xe28d3d76, 0x28a1ac76, 0xf1353e69, 0x172b95dc, 0xe10d277c, 0xb60d8487, 0xbf2570bb,
+    0x00bb58c4, 0x7227c06f, 0xb0b24ae1, 0x7a7d7742, 0x73f6dbbb, 0xb6049366, 0x2435bef6, 0x042ab572,
+    0x114cbc12, 0x94216e0a, 0x6e10ab12, 0x2031e73f, 0x007ff588, 0xaf5c72e7, 0x87c6a1b5, 0x4d9237a5,
+    0x0620d764, 0x6bdd8605, 0x53ff2ada, 0xf0036ef2, 0x470962be, 0x313946a6, 0xabca5b1b, 0xe4e2f424,
+    0x6cccc474, 0xf4320223, 0xba8df998, 0xffdab0c8, 0xa635a682, 0x48c75046, 0xb3719b55, 0xdd8475ac,
+    0x4f4729d5, 0x99ed5968, 0x55a3dac8, 0x47306e84, 0x2b6b5973, 0xa1692acb, 0xe7f4f8ff, 0x7530584a,
+    0x7573bf4f, 0x5ad5fcee, 0xa66b70d6, 0x66041017, 0x0a3a943d, 0xfc0ec595, 0x7b65f257, 0x4574e146,
+    0x66727868, 0x4a2ad66a, 0x41845d1a, 0x44cd27b2, 0x4f10ff84, 0x0d6fe2f1, 0xa5c90855, 0x9308c2d3,
+    0xd87bcbbc, 0x060c086a, 0x5b41b1f2, 0x11a2254b, 0x0637f456, 0xbb7eaf46, 0xa6fa1fe8, 0x1c04c506,
+    0x5061ef5c, 0x371337e9, 0x056544a5, 0xab853afc, 0x46d18150, 0x4ab77d43, 0x9bd693ac, 0x842a9083,
+    0xced42af8, 0x12ea2492, 0x408cba28, 0x7ce64d55, 0xa9a631ac, 0x7bf049ed, 0x4b82ad56, 0xc7a4d981,
+    0x235af3af, 0xe8b8a98c, 0x4a51e3c6, 0x7909cb3a, 0x47a69e9d, 0xb317e455, 0xedda5a49, 0x6a6805f8,
+    0x55436518, 0xca57e244, 0xc67e0eab, 0xab62bc3d, 0xadf8f5ca, 0x15084cdb, 0x0b17bcb2, 0x896ad1d2,
+    0x1b437873, 0x05b987c1, 0xb388b1d1, 0x0c86d146, 0xc1592626, 0x4141bd1d, 0xfce7ee7c, 0xc77a862d,
+    0x605a82c9, 0x931a61fe, 0x46bb929c, 0xd629b146, 0xe15fc7de, 0x02a9538c, 0x189df403, 0x5520ba74,
+    0xa0d7e2ac, 0xf35f4a6c, 0x483c3837, 0x2f92cb21, 0x2220bb70, 0x145c1ea5, 0xf9d67162, 0x3bf97437,
+    0x452de2a1, 0xe88d0b85, 0xffe24226, 0xb15cc005, 0xdad03abc, 0x9e798253, 0xb5494b19, 0x05ea8ca0,
+    0xe3b4e825, 0xb956e264, 0x3f9be6ce, 0x42dd84a6, 0xa2ad50b6, 0x1da7f7e6, 0xb6b46017, 0xa3ff39a1,
+    0x2536ad4d, 0x077eb3b1, 0xbc28fe12, 0xa37711a7, 0x7e3e7ba8, 0x9b88610a, 0x3d9113d3, 0x01a32333,
+    0xb7a735ba, 0x7cb296c9, 0xa232ad74, 0x04254a77, 0xf934a7e0, 0xae12caa9, 0xb2a7954b, 0x9644c5a5,
+    0xa4fa7c03, 0x37a8b456, 0x21bec340, 0xf4bc41bf, 0x1b166cca, 0x7be08881, 0xb0f1cd3e, 0x3c6f1684,
+    0xe21f30a3, 0x3ad2481f, 0x3dab08e0, 0x1af5c008, 0xe24d75f7, 0x7bc9acbc, 0x57a6aa7b, 0xe613f14c,
+    0x3e6c6c1e, 0x43b0ec4b, 0xd2886de9, 0xdca98f96, 0x4683fb09, 0xd26d71ac, 0x20074ac6, 0x33eda036,
+    0xdfd5e09f, 0x871aea63, 0xde090637, 0xa72bd4bd, 0x6afff577, 0x2cf8fc35, 0x4c125afd, 0x64bcd777,
+    0xb319b8d2, 0x98b23144, 0x982a6a4f, 0x64ad3396, 0xa03983af, 0xa973d9f3, 0x2ac04470, 0x79ac2863,
+    0x0446f60f, 0x4a3f12e6, 0x694b4fa6, 0xf63dca4a, 0xd5d2dc44, 0x2aba868b, 0x9323ad70, 0x1711e53e,
+    0xa140e37a, 0xa3c384c4, 0x86846d9a, 0x3bca5cae, 0xbc9ab255, 0xa97c4f23, 0x35742d51, 0x2e383053,
+    0xf9321e84, 0xab6cc509, 0xbd29bbd4, 0x56299f79, 0x0567fa05, 0x137a784d, 0xde516ad9, 0xb46fb016,
+    0x6d53a758, 0x017a437e, 0xed006331, 0x9c5383f0, 0xcddf6100, 0x7aad93d3, 0xc91c97fa, 0x6f40723a,
+    0x6ccb1f08, 0x800afd6f, 0xffffeb05, 0xc3cab8cb, 0x693aad19, 0x3addf50a, 0x0ab72882, 0x7e607cde,
+    0x3f8e2efd, 0xcd402fdb, 0xdc9bab87, 0x0c19a294, 0x7da0c24c, 0x37937bfe, 0x9ad4bc0d, 0xc1184314,
+    0xcb2b1c6e, 0xb0f93ff1, 0x8ba08da5, 0xf933c5f1, 0xf5babd99, 0x33bc872c, 0xfa74a4a1, 0x29aeb0df,
+    0x61eea05a, 0xacd4927f, 0xb05f6213, 0xa6741fe5, 0x9be007b5, 0xe2930bb5, 0x29d08630, 0x084734c6,
+    0x63377e6f, 0x65011465, 0x2b93a288, 0xae0f3991, 0x7806268d, 0x2e9e1a71, 0x40cd0052, 0xf231a930,
+    0x19e3d137, 0x4b618709, 0x653faacc, 0xca1b92d7, 0x620f6e87, 0x76ab8a28, 0x98263f49, 0xfb309b26,
+    0x08a11bc8, 0x1e7ba896, 0xaf65570c, 0x5b9cae17, 0x4129ffab, 0x19f3618b, 0x169a59b1, 0x0d509a07,
+    0xefc5bb8d, 0x4016f71a, 0x7cc07582, 0x997f3aa6, 0x19969103, 0x0a02a1ce, 0x13d6b108, 0x60cc823b,
+    0x78ef9064, 0x29af41f7, 0x600a6926, 0xb1bc858f, 0xb935c11d, 0x374cc7c5, 0x003d12ee, 0x5dd12c66,
+    0x80996d9a, 0x9284950b, 0x8a871a81, 0xdbebc867, 0xa9e4f518, 0x3553a716, 0x18064c63, 0x27c35461,
+    0x2372e91d, 0xda070eac, 0xc6964cce, 0x13ebd58d, 0x75c54eeb, 0x7ae083dc, 0xa14133ce, 0x3b7ed6d7,
+    0xf4fabdde, 0x8ea6fa59, 0x95ea8071, 0x5ac68b0f, 0x070fe39c, 0x07633a35, 0xeb513e7c, 0xdf7a3623,
+    0x5a6c996a, 0x617dc095, 0xa065013f, 0x848ead64, 0x2f22dabd, 0xf0d86a63, 0xa33e35f5, 0x6c3f145e,
+    0x0169c300, 0x4265234f, 0xbeb4b899, 0x2a278d34, 0x4ca244fe, 0x21805ab6, 0x68b6f8bb, 0x145cc060,
+    0x05c1f7c8, 0xcb754568, 0xc5c34af3, 0x5c8630a9, 0x096365ee, 0xbf625b7e, 0x7a1c8764, 0xe5a071fc,
+    0x05635f87, 0x19c4c1e8, 0x342a010a, 0x8f71480d, 0xdb28d7c6, 0x16df0c48, 0x8c433a34, 0x004b1d59,
+    0x6019436f, 0xcde4c05d, 0xf1f6b4b1, 0x1ef39492, 0x9982c9d5, 0x91b4052a, 0xe6c862bc, 0xbeb808e8,
+    0x1ac633c4, 0xc58fad26, 0x57e8a1e4, 0x53bbd007, 0x7ce64b25, 0x64a1f5c9, 0x58059479, 0x0a726041,
+    0x846d35ee, 0xf1668062, 0x95703e71, 0x591c3413, 0x5ffd9767, 0x8a1f5da5, 0x92a6a17d, 0x7b971fe4,
+    0x4c988b8d, 0x012152c1, 0xc9b309b5, 0xbf44f685, 0x8b557d5b, 0x7c7d241b, 0xdfe9ae97, 0x4501850c,
+    0xa71e5ed4, 0xf6e1721f, 0xf9bce824, 0x24b69c60, 0x6bb368fd, 0xa881768a, 0xb59f1b34, 0x453179be,
+    0x95d47521, 0x5ac425c7, 0x1d5d1958, 0xc7072145, 0x11e66874, 0x8097193e, 0xf1eab355, 0x2175a250,
+    0xc110480e, 0x285b9dcc, 0xb21949bd, 0x36522815, 0xd5fbc848, 0xda421eef, 0x2c403429, 0xf128b3f1,
+    0xb45c2211, 0xb1948def, 0x51a72e1d, 0xdf4f9270, 0x8b6bcce6, 0xff8d8456, 0x1c33b7ae, 0x7f9354c0,
+    0xdbc78e57, 0xe5b5d1bb, 0x0163dcb4, 0x793682cd, 0x0ed8376b, 0xb44087cb, 0x7d170372, 0xc8f8dae0,
+    0x72c81491, 0xb0e9a9d7, 0x51a0fde4, 0x37ea2f3c, 0x53f0c5f4, 0x4d5079bc, 0x00ff1df7, 0xf4a1c180,
+    0xb476973e, 0xd8ac2271, 0x5c8faaa4, 0x02044f52, 0x0464a593, 0xd17e99cf, 0xf658e22d, 0x761cb526,
+    0x288ad401, 0x1841906e, 0xa4166242, 0xee94718c, 0x8ae68117, 0x85d3aab9, 0x592055b7, 0x7f811fa1,
+    0xb007f979, 0xe2d83abc, 0xf37abe1a, 0x48f79bd5, 0xb510e388, 0x3853dd08, 0xd2aaa6ae, 0xd2293aeb,
+    0x34d8a83a, 0x71db3969, 0x6cd4e2b0, 0x2b7abf90, 0x183eb5dc, 0xc160b891, 0xd11dc9e5, 0xf1198c96,
+    0x10859089, 0xce862a6e, 0x2d915235, 0x7586666e, 0xee507e36, 0x5abb8b3e, 0xdaad5e1d, 0xe41438d0,
+    0x41ad9215, 0xee4d0918, 0x2df4907f, 0x5a63a493, 0xbc5d394e, 0x9004249a, 0x28c5a59a, 0x7047fefd,
+    0x8977dfd4, 0xf2bdb0df, 0x340ae1b6, 0xd6a54df6, 0x7626f5ea, 0x2cc7b496, 0xffb8a7dd, 0x5960d086,
+    0x5d0cc5c6, 0xcd6691ad, 0xfea7a161, 0xb4b82fb2, 0xda7aca6a, 0xf027cf99, 0x2359acd8, 0xbfcc1ed9,
+    0xbe4bba99, 0xeee6428c, 0x793fe34e, 0x3c9dde28, 0xa6600725, 0x68703142, 0xe8c0c8de, 0xfe62dd2e,
+    0x4819aa32, 0x68ceafc6, 0xb2da6006, 0xafbcf854, 0xe3eddb8b, 0x52d15d7e, 0xe3dc749c, 0x106cf317,
+    0x794a0253, 0x8cbda7e8, 0x5a9745e3, 0x016de35e, 0xd3d6ed11, 0xa39200bb, 0x6f29128e, 0x296f75f5,
+    0x1bc1cee4, 0xf46a0c6d, 0x0196d5a3, 0xd41ca1d1, 0x6ca12d69, 0xc1ee6789, 0x7db78fb4, 0xd4ef0c80,
+    0xd529b099, 0x75ddadf1, 0x6c59cc73, 0xa4578494, 0xe64f7210, 0x5024bae6, 0xf202fd82, 0x74de523e,
+    0x09a20f83, 0x35b8e383, 0xd8998e74, 0x67a7798d, 0xe9448676, 0x2adb64d7, 0xcb4a4b61, 0xe86918d3,
+    0x97e3fccb, 0xd6126bdc, 0xc5e5f7ed, 0xf0a049d6, 0x5746ada6, 0x948256e0, 0xe25d8244, 0xb9efea1b,
+    0x1f66373d, 0x5828b51a, 0x7c191ab8, 0x74b9fbca, 0x7af655be, 0x5d9ccd14, 0x98f66ce0, 0x991fb76c,
+    0xe1fcf305, 0xeacdb743, 0x053bcab1, 0x1e85b579, 0x572169a8, 0xc4352146, 0xea09e943, 0x6a41b2c8,
+    0xea8019f1, 0xec924b40, 0x5f4324a9, 0x16c15ddb, 0x3c931afd, 0x4d22e3c1, 0xb843e6b9, 0x4a05c6a4,
+    0x04082fd6, 0xc3b2dc3b, 0xcec2d8b2, 0xd4dd073d, 0xcbd43548, 0x9e3b2150, 0xf9cc76b2, 0x20e55d76,
+    0x54553140, 0xfa5d5318, 0x7860a473, 0xeae3c835, 0xa3f7eac5, 0xafd551ec, 0x831dbfb6, 0x467d9d47,
+    0x71b77511, 0x95bd8329, 0x0ee17e83, 0x5c62b105, 0x48592511, 0x483bc12b, 0x9e213485, 0x40b046c6,
+    0x34f56ea4, 0x25fab67d, 0xe2d2b540, 0xc722de40, 0xadeaa7a5, 0x32cdcf11, 0x72ac4c1d, 0xea9f3525,
+    0xc0ddc3fb, 0xc503b82f, 0x60da84c8, 0xd5d3a893, 0xeeedabd1, 0x5adba594, 0x4bd3966d, 0x1bfd1b0e,
+    0x7e5a74a6, 0x307d8ddf, 0x26b760c6, 0x2f57a888, 0xbff46401, 0x414825ec, 0x617feeec, 0x2fba4fad,
+    0xb7e69e3a, 0x1dd91cab, 0xe436f814, 0x9028bb8e, 0x182d2560, 0x1b481c9c, 0x4ec535af, 0x0477d504,
+    0xe8e5bfd5, 0xcfad4959, 0xe6e0585e, 0x56987d2c, 0x80ce2532, 0xde3d06b7, 0xe2723945, 0xec433b6f,
+    0xba59d8a1, 0x413fc17b, 0xc2bd6515, 0x8b4e655c, 0xa1206ff0, 0x80fe6684, 0x6940d0a8, 0xad509102,
+    0x00000000,
+    0x562dc929, 0x4039098a, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000003291009114642412084309938365114701009965471731267159726697218048 */
+  { 0x00000000,
+    0xb346a5b6, 0xc17287c8, 0x64c748a7, 0x837e3335, 0x18b17e29, 0x98d462c8, 0x5ac32f8a, 0x8347a36f,
+    0x320a70fb, 0x55d7d9de, 0x2159e974, 0x5c205284, 0x033f48b2, 0x01d2b9cd, 0x025ad320, 0xa84c2a69,
+    0x16df09db, 0xc711e044, 0xf259f159, 0x1934a439, 0x7afbb82d, 0x7e7e8d43, 0xdc25e8f8, 0x534f49e6,
+    0xc5a9a4a2, 0x2281b359, 0x31c38e6a, 0x2c660824, 0xfd4d237b, 0x749442e7, 0xe471c01b, 0x8294a3a5,
+    0x10e5696a, 0x7c60457c, 0xebea5386, 0x0ca3c61c, 0x6104affb, 0x6d4d1a29, 0x3d4f9cc9, 0x5a0aebd0,
+    0x5626d026, 0xa9e3e97b, 0x334985f9, 0x6bf4bcec, 0xba06f2d2, 0xda68cd8d, 0xb8c46b07, 0x2c98e481,
+    0x10ce0dab, 0xbd510a3f, 0xac4c3782, 0x568b6edb, 0x0864d45f, 0xc72f42b3, 0x55c4229d, 0x40b8b10d,
+    0xaf2a00f6, 0xd8f4cb65, 0xd5a1e11b, 0xc8b1564e, 0xd225d9db, 0xf4760ebb, 0x7d864ca6, 0xaf1ab004,
+    0x756f6e9b, 0x8d25e774, 0x44f4a79a, 0x03e2873c, 0xd9b38710, 0x4b374fa5, 0x2a69ab04, 0x00027c49,
+    0xfc2460d5, 0x5d0621d9, 0xe755ea00, 0x372fc396, 0x83c494b2, 0x6e2f191b, 0xd5c6f2c0, 0x55b845e2,
+    0x30be19bd, 0x554c8674, 0x42643c46, 0xdeea1fef, 0xc5de6504, 0xb9905e0a, 0xb02e7d6d, 0xd5983b2c,
+    0x1bdc12d6, 0xffab4cc3, 0x6a2039f5, 0xba428d1f, 0x7484faa1, 0xfd125bd5, 0xfb221254, 0x0a4ed206,
+    0xe7526567, 0x6d59d469, 0xbac76c39, 0x16d2353f, 0x9de2427f, 0x187041ab, 0xfba3ec10, 0x5842dc4c,
+    0x8fb8db43, 0x1f07cb2b, 0x200838d0, 0xb54f7a13, 0x0274b635, 0xd941fff8, 0x471cd9e1, 0x2aedb2e1,
+    0x014db2e1, 0xe80bf9fa, 0x7cbd8750, 0xcb592cc4, 0x27472b5d, 0x7684d034, 0x30cd64f5, 0xdefc1ea9,
+    0xabd25c72, 0xd9e43119, 0x5f6dc0c1, 0x3b79f919, 0xab1fa85a, 0xc9fcd990, 0xce71fa2c, 0x7003c70e,
+    0x65c046e0, 0xa6de0240, 0x8558628e, 0x523ca4c6, 0x33511f77, 0x79a1fde9, 0xd047f7d4, 0xadd062c7,
+    0x215eab66, 0xc158c28a, 0xb5c11d74, 0x9edae684, 0x7cc4f1b4, 0x43d8ff3c, 0x34399c24, 0x432dbd7f,
+    0x1f1b40ca, 0xc609ee65, 0xee514d62, 0x029778bc, 0x1f2021ec, 0x1e4d630b, 0x8585c2bb, 0x2e2cc174,
+    0x02e805a6, 0xa4bf44b6, 0x02faae0c, 0x1718deea, 0x7d17b679, 0x9b665e9e, 0x4189635f, 0xd7c845fc,
+    0xdd9ad59d, 0xa8bc61e9, 0xc93fb453, 0xaabac68b, 0x68c81962, 0xe74005c5, 0x95539d6e, 0xe7acc142,
+    0x1e59f103, 0x61f3be9d, 0xa51dd16d, 0xff8c6080, 0xacd0b771, 0xa56717fa, 0xfc16c402, 0x170449a6,
+    0xca184b85, 0xd0377102, 0x8aec27ad, 0xcce3a8f6, 0x4cca05b2, 0x770bb4fb, 0xeaa638a6, 0x38ad9b89,
+    0x5bd450f7, 0x9d8f7880, 0xf0c72a57, 0xae3c09fc, 0x3cfb9774, 0x5cf0e96a, 0x9a40e72b, 0xe9bdcf41,
+    0x466f094a, 0x6eac47d4, 0xf3c15084, 0xa504c156, 0xaa98b568, 0xf7869dc3, 0x955e8f38, 0x83bf7016,
+    0xe858934d, 0xb99ba0dc, 0x3f6dc623, 0x117742a1, 0xe3d40a84, 0x9ec26b6c, 0x805eedcf, 0x3f51685d,
+    0xbd20a491, 0x92977e93, 0x0f1941d3, 0xe5d4d466, 0x44c685eb, 0xf1371e22, 0x1646aa00, 0x54f8f172,
+    0x53bd8d2b, 0xd4e42790, 0x923d240c, 0xf5ca864b, 0xc06b10c3, 0x5f4c1bb0, 0x8bda67dd, 0x837ad85a,
+    0x98671afe, 0x5c29ba08, 0x0cc873a1, 0x210f1f89, 0x42006055, 0x1a2ea4a8, 0x1bea370c, 0x7fa3bbbc,
+    0x653e21ac, 0xf283a000, 0x14438d93, 0x2e672974, 0xa79282ba, 0xe11dbac6, 0xc1fe64c0, 0x7c12dc4d,
+    0x4c93433a, 0x27db3abb, 0x8a229edf, 0x4a769f04, 0xf0b36d2f, 0xa9561a71, 0xf3fcd192, 0x0c79fc8f,
+    0x157face2, 0x2f88421f, 0x979243e8, 0x3e4065fd, 0x23eacedf, 0xffb8fb4a, 0x172d0c6c, 0x72f047ac,
+    0x252dafa1, 0x9717a5bb, 0x3a1d48be, 0x93d29616, 0x10f7d568, 0x8547dc63, 0xb3227788, 0x29221a49,
+    0x8808bf78, 0x7960d19b, 0xb7b9f562, 0x16fb72fe, 0x2fb5eae6, 0xfaeba733, 0x8248427a, 0x469a55be,
+    0xf141c1ae, 0xb928dcbe, 0x30910455, 0x242503d2, 0xac26e036, 0x5ccdc1bf, 0xe078fcc0, 0x43b03264,
+    0x80277e3c, 0x5131f2bd, 0xd05ad125, 0x80e65c34, 0x011e34a2, 0x9f52d8ed, 0xb5d4c685, 0x2d70b304,
+    0xe58b94f8, 0xa7cc91b8, 0x059f7c02, 0x07c25eb4, 0xd313f61f, 0xab46bbae, 0xcd243a62, 0x0c3019d0,
+    0xbabe9f1e, 0x1cb6dcaa, 0x6cbc2cac, 0xfd8bd7bc, 0x7c8779a0, 0x53658583, 0x0b279e53, 0xc6ee3679,
+    0xd39c183a, 0xe4a3a09e, 0x26fcab5c, 0x90d12274, 0x406e44b6, 0xd55bf4cf, 0x96e922f2, 0x0155cc7c,
+    0xc2dffe91, 0x7e97c010, 0x6903dbde, 0x0c32abd6, 0xb9d258a4, 0x1ca4a30a, 0xcd7c5cfb, 0x2c619447,
+    0x5cf7dda9, 0x9d05b78c, 0x2835c771, 0xf0c41de4, 0x0d844652, 0xf4e02b60, 0x98b2a8f1, 0x1a8f98f6,
+    0x5be3770f, 0x0fac3907, 0x72d83a6b, 0x34ee6398, 0x568ee826, 0xdebc78f5, 0x0e7494fb, 0x0f99e564,
+    0x69d39cb5, 0x24a5dd68, 0x07046a14, 0x225cd1f8, 0x4b91b202, 0x4a19982b, 0x4c469e84, 0x477783c2,
+    0x78ede1af, 0x048d120d, 0xe5c78bae, 0x2c582724, 0xc1bda69c, 0x0ca89600, 0x99e68b8e, 0x6d03a3e7,
+    0x88e594e0, 0x9283aa68, 0xc84af66f, 0x733d13e2, 0xe520d35d, 0x8090f954, 0xecfb5de3, 0x75abe0eb,
+    0x628f9844, 0xd11a5b50, 0x30fedbd2, 0x297a5d62, 0xd60a2f67, 0x97e36082, 0xabcce89f, 0x2ddd7b49,
+    0x1341145a, 0xe0e4861f, 0x9f650909, 0x2f0fe107, 0x63b8eb97, 0x3e0676b0, 0x507d59b5, 0x91202e86,
+    0x17d4ab81, 0xb41cf409, 0x0b3f116f, 0x1a75d032, 0x25f085ae, 0x13a69a3d, 0x2936722d, 0xa6668f95,
+    0x0107f476, 0x5314c313, 0x6be6cb4e, 0xc02dd34e, 0xa5a92e7f, 0x68411143, 0x3c5d1d5e, 0x1cb4aab3,
+    0xb4b4957f, 0x1e18ee78, 0x0d78f3c0, 0x88664472, 0x5b54db6e, 0x203fa67a, 0x0daa3372, 0xc851d42f,
+    0x2513db80, 0x0c17c0a0, 0x43119721, 0x1c308b67, 0x9adf24ab, 0xd7d81cef, 0x07d8d7af, 0x644b69fd,
+    0x904289a7, 0x8da75a19, 0x6a2ccc58, 0x656649eb, 0x903c7d29, 0x0b05c876, 0xb230f6db, 0xd916eec1,
+    0x49a3d734, 0xd729290e, 0x0d7f3a07, 0xf2e666a4, 0xe82065b0, 0x4b744eef, 0x8dd199ed, 0xe61bcbeb,
+    0xe0e978ba, 0xfb4a5eb5, 0x1c90fb7c, 0xad533c4d, 0x11ad0cda, 0xb7cc0427, 0xf57dc62a, 0x7589299e,
+    0x336a30fb, 0x1d52b000, 0x478fb042, 0x00b13990, 0xc994a3df, 0x9c4569af, 0xa3a09ace, 0x6c41c70f,
+    0xe22f2d00, 0x39946546, 0x2071de4f, 0xc82ae091, 0x29d3196d, 0x43a2eb0c, 0xa7cbdd4d, 0xcdd120ac,
+    0xaae31a55, 0xb04d1848, 0x276c4b4e, 0xf5af60f7, 0x845e0cd2, 0x2707c9f8, 0x762f8ab0, 0xd27da2d0,
+    0x54d67275, 0x2bd6f7d9, 0xf4d51812, 0xc1c2152f, 0x1060a7b4, 0xb4e93da8, 0xc6a98a54, 0xfdfd59ca,
+    0x191ac376, 0xe07da6de, 0x438b6a88, 0x04f9e0c2, 0xf5bd3a51, 0xda2598ea, 0x4af5bb93, 0xcabbf57c,
+    0xeabd32ed, 0x36e205f9, 0x6fb2585c, 0xa2c9c942, 0xd7ae58ad, 0xce354c91, 0xc5bcc29b, 0x92ab14fb,
+    0x7bf58827, 0xc50d2393, 0x87e174cb, 0x65f94e5e, 0x0268e745, 0x06f4fb6b, 0xe01c05ef, 0x11af3aab,
+    0xbcfd3a25, 0x0fd47297, 0x961b21dc, 0x358a3ee5, 0x8cf0758f, 0x160cbcc8, 0xec71729e, 0xec657a96,
+    0x34128e12, 0x2bb58db7, 0x9de6ad27, 0xe29918b6, 0x5695238d, 0x21a19511, 0xcd5aafe5, 0x128e5277,
+    0x4823dd5e, 0x465a8efd, 0x725f4615, 0x86b565c3, 0xf26108eb, 0x913fd6c3, 0x78e78df2, 0x08a424ff,
+    0x6370e57e, 0xbdb575c3, 0xd3523504, 0x877fe54d, 0x79682aa5, 0xed9162fc, 0xabbaaf1f, 0x7bd48207,
+    0x6dd8c37a, 0x96696b84, 0xf0492409, 0xda6f26ed, 0x74d5ddef, 0x1a1ed542, 0x4395729b, 0xc456c0b8,
+    0x730ef0a5, 0x6dddbace, 0x70902764, 0xd7a97422, 0xed7bd134, 0x2c31bad8, 0x585a533d, 0xb5e15d92,
+    0x2cd837f0, 0x736eb37e, 0x04c61d59, 0x9e2bc24e, 0xa7ff2d39, 0xb8bdaf4c, 0x1c74c713, 0x2cbb578a,
+    0x4d387478, 0xab5cb4f7, 0x417c0fab, 0x2071e8f3, 0xd75e1837, 0xfbfc0f61, 0xb4ed4450, 0x630648c5,
+    0xf17588d9, 0x395503ce, 0x1e7bec27, 0x185296d8, 0x9885864d, 0x24891621, 0xd8d407b5, 0x460dd84a,
+    0x81567043, 0xc0d40be5, 0xad0b1260, 0x51abe35c, 0xfdf37f85, 0x7ecf6764, 0x49cf53f5, 0x36641246,
+    0x9cf3d5d3, 0x74e7796b, 0xa316571f, 0x047d6db2, 0xfce73dad, 0xb85c1e4f, 0x2d3a96ea, 0xbd14fa5d,
+    0x1fc0d406, 0xc0a89f89, 0x85a95fed, 0x41b3c1a7, 0x39f1d4dd, 0xef6b33ac, 0x93ab9c8c, 0xd41f46f5,
+    0x1bce5410, 0xb154e3d1, 0x4c75aea1, 0xe83bce17, 0xb5598792, 0xd17c0572, 0xac097924, 0x28d942c0,
+    0xb88565bd, 0x86e1982a, 0xaa48641f, 0xd69b6ace, 0x1e6846e2, 0x8ca79ac9, 0x6c2f8c69, 0x1bd1e38e,
+    0x025bd492, 0x013816d6, 0x3cb531dc, 0x92de5bc1, 0xf11be187, 0x7794840f, 0x27dfd5b7, 0x710362e3,
+    0xe31fc3b3, 0xf02fb3be, 0x8a736d18, 0x68ef0a34, 0x60e21758, 0x11cda28b, 0xa8fd503d, 0xa0784712,
+    0xa1e5d8da, 0x5618c7ae, 0x5797e40d, 0x0dfeb9ae, 0x3004da08, 0x5e36719a, 0x5dc000d7, 0x27376d55,
+    0xcce596d5, 0x6fcd2f71, 0x84c3fec4, 0x96960459, 0x3a02cdf2, 0x1c675c8a, 0x24b72f47, 0xaf2a6849,
+    0x711e3f04, 0xb189f222, 0xcaa7ee4e, 0x69bb850c, 0xf0444abb, 0x39a39223, 0xcec6fa38, 0x0a3474f6,
+    0x1458cd8e, 0xad34fd59, 0x1cd01fd8, 0xe8dd0e26, 0x8c891e11, 0xfa3b85f1, 0x1459a6f4, 0x94c4927f,
+    0x12956483, 0xfd84fd2c, 0x7976f235, 0x9262805d, 0xb6fd3a4c, 0x1cc043c3, 0x638d598c, 0xf2284681,
+    0xdbcaf5fc, 0x99e03c80, 0xcb615b55, 0x441c54e1, 0x91577fd2, 0xe3d5ff6e, 0x75a77b58, 0x96ef25e8,
+    0xfd3be4c1, 0xed05cfc4, 0xe0c3546d, 0x14cabb01, 0xe6afa16a, 0x4513b542, 0x02f55fae, 0xb9ac36aa,
+    0x27a7019c, 0x11dc6434, 0xa93e0eff, 0x3f046f48, 0xc9966047, 0x68af7d61, 0xbcb39735, 0x5df499fb,
+    0x475509d7, 0x8bdc679b, 0xfaef506d, 0x82ce9463, 0xab3ffabb, 0x83f5dca1, 0xae08ff8a, 0xb72ab345,
+    0x55dc4c99, 0x30af5946, 0x052f3f46, 0x70d45a02, 0x187d1d9d, 0x49e217d1, 0x46395b77, 0xe8187db1,
+    0xbf630111, 0x3858528e, 0xc303ed48, 0x13dad43b, 0xec9b1dcd, 0x6dca933d, 0xe0c7834c, 0xa3160087,
+    0x63f3dedf, 0x99f8051d, 0xa12ca5f0, 0xef2a8764, 0x8cf895ef, 0x52f286b1, 0x37f1a21a, 0xa4d29a32,
+    0x9da6cf9d, 0x7d77babb, 0x5ec4a443, 0x873aaaac, 0x7f9bfeb3, 0xdba159cd, 0x2e328638, 0xdb1f1060,
+    0x41dbb732, 0xa8e6b2ab, 0x827bdc3a, 0x06053eb4, 0xbebc6a9e, 0x7c065058, 0xf132773a, 0x068b766b,
+    0x8a4b7c60, 0xd202d4ac, 0x0b9d5dda, 0x92155400, 0xfe0d4343, 0xefa9febf, 0x375b8298, 0x640ad6af,
+    0x08bb2d5e, 0xa271538d, 0x7414e608, 0x16c830c0, 0x41c5adee, 0xc78ff49c, 0x67f89f77, 0xbc9a8164,
+    0x0bfd9272, 0xea7d7501, 0xbf72e12a, 0x42b8923f, 0x72ccabb0, 0xa013c6d4, 0xde56405f, 0x52f31eaa,
+    0x21d078fd, 0x98a3da0a, 0x3c7f5618, 0x737035f5, 0xeb3ef019, 0xfeddc033, 0xc4136f9a, 0xc24ce05a,
+    0xe3f05c96, 0xb4e80652, 0x35f98a98, 0x66c102c0, 0xb884ee8e, 0xf7b4f60b, 0x7c4929d2, 0x76dd1209,
+    0xe09ac565, 0x29f3c02c, 0xe9704ef2, 0x6df84d69, 0x56f9b799, 0x21d0dd74, 0x860bce9e, 0xdf234db9,
+    0x20e43e04, 0xea42710f, 0xf5b82d86, 0x64d883e0, 0xba5d0197, 0x1cbce79f, 0xf3f0d182, 0x9ee52cda,
+    0xb06810cb, 0x42710892, 0x904d8138, 0xdc9ceb43, 0x7e2e03af, 0xd3df20c1, 0x38d43c6a, 0x54924943,
+    0x36933880, 0xf850e890, 0x07c8fc3c, 0xfa56f1dc, 0xfe4af257, 0x6ef8943c, 0x8e3e8dab, 0xd3023f41,
+    0x9ad9cc30, 0x083c1d8c, 0x0ba9364d, 0x4172ea7f, 0x2421429a, 0xa987ec50, 0x7c5f8321, 0xaed560f9,
+    0x8ea4bd68, 0x21327c1f, 0x039ea95d, 0xb181ec47, 0xe94402df, 0x253011a7, 0xe69e753f, 0xd8869716,
+    0x368520fa, 0x1e4573be, 0xad557cc1, 0x9d3e8ac9, 0xa73e93c8, 0x16035628, 0xf52560fa, 0x26a258dd,
+    0x3a20bc08, 0x84867822, 0xeb24003c, 0x6c6fb671, 0xcae86140, 0x29a7468e, 0x308164dc, 0x0f290a4b,
+    0xb15dc59e, 0x66f694db, 0x50cb0280, 0x992f24cb, 0xde7f546e, 0xd26f99d8, 0xd1a264df, 0x36d76ab9,
+    0x088b4795, 0xaa3d8512, 0xc102974e, 0x12693a84, 0x755e5899, 0xf7eee463, 0x14490131, 0x8ad925ae,
+    0x1f239391, 0x2d889b6d, 0x818fc1c9, 0x3443e2a8, 0x227878f5, 0xe022affd, 0xe7f961d0, 0x0fac747d,
+    0xf234c592, 0x6d2d1871, 0x78404539, 0xe88ac17e, 0xda3faad6, 0x4aa2b4ae, 0x709d72ef, 0x46e9f401,
+    0x41d46829, 0x64af7ae9, 0xe3c8a009, 0x09020b26, 0x31b5ceb0, 0x8341357e, 0xf9852637, 0x663b88c8,
+    0x88fc1aee, 0x4c7a1bd4, 0xe9d198db, 0x55245f6e, 0xb5828227, 0xada5631b, 0x6af2f85f, 0x87d7aef6,
+    0xbf2921a5, 0xa490cb18, 0x7b3e5e1d, 0xf735ab99, 0x64041ce2, 0xdc129015, 0x21187ab2, 0xc953d8c5,
+    0x8bc0b121, 0x1487f35c, 0xc675b9c2, 0x520f4ec9, 0xa948c438, 0x32a4a4ad, 0xa4ba1f86, 0xe339de8e,
+    0x8f92adba, 0xa5868be2, 0x1f70aa5c, 0x771d843c, 0xe47a09eb, 0x0203583c, 0x88bc1b53, 0xb60bedd4,
+    0x697b12e1, 0x112048ef, 0x9153ae32, 0x50a33265, 0xf4bc194a, 0x7fcdc046, 0xcf62f547, 0x6c2b0dc6,
+    0x838dff38, 0xd4abf56b, 0xb7247d09, 0x4d53a674, 0xc2267afa, 0xd4049fb7, 0x196d6c14, 0x28b41031,
+    0x7fb37e4c, 0x68d34c35, 0x1641d317, 0x8bb05b31, 0xe3401f94, 0xd36216a5, 0x6adcc592, 0x2f96302d,
+    0xaf0be258, 0xe887a770, 0x717e4439, 0xf3ec1fb4, 0x5a97b55b, 0xfceb06a3, 0x090db4e4, 0xe0120886,
+    0xe5eb9eee, 0x94987a90, 0x882311d1, 0x70a37881, 0x68f94476, 0x01bf0c10, 0x88232489, 0x256eada8,
+    0x93c6f933, 0xc80020d5, 0x14fe9ee7, 0xb5248518, 0x9d8bfa38, 0x9fd38684, 0x774b08bf, 0x9ac7efbf,
+    0xb663cbe5, 0x19c33dc6, 0x742e04db, 0x465a63c8, 0x6ae80ca6, 0x195b4fbc, 0x2dc7f138, 0x23db278d,
+    0x040d04bc, 0xd5cac448, 0x06bc6e57, 0x82f13bbb, 0xa3a46657, 0x87922adb, 0xa4394f5a, 0x2fca09d4,
+    0x1a00383c, 0x8f29bcda, 0xd05b3363, 0xfd9cfced, 0x9eae971a, 0x66d72375, 0x5a4218ff, 0xa572c821,
+    0xc05a4281, 0x24034ce6, 0x8f66b334, 0x0a7c247b, 0x705427aa, 0xd747195f, 0x211c6d9e, 0x960d7eb2,
+    0x8ef21960, 0xc6a3c860, 0x6054b9dc, 0xa517a3b8, 0xd70bf381, 0xabebe93a, 0xe3fe3820, 0x384fe5e5,
+    0x31b34231, 0x9a735290, 0xdcc37364, 0x7e323d30, 0x4289af3c, 0xa18d20eb, 0xb5c3e106, 0xa556d86e,
+    0x956d21da, 0xa6d9de2c, 0x7cf2b959, 0x08c94a60, 0x5add4671, 0xff9aab0f, 0x765a9035, 0x94f1a2f6,
+    0x00000000,
+    0x2b16e494, 0xa01c84c5, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000001645504557321206042154969182557350504982735865633579863348609024 */
+  { 0x00000000,
+    0x5276a0ed, 0xb000bc65, 0xb1ddeeef, 0xa2136f8e, 0x140adfc8, 0x31788b21, 0x2333895d, 0x88c36530,
+    0xb3794750, 0xe617c418, 0x677fa386, 0xe8ed048d, 0xcda9baa7, 0x53e721b1, 0x51469d92, 0x7eba3573,
+    0x44c3f6a6, 0x78e33654, 0xd8de2b04, 0xddce2bb7, 0x58118cf6, 0xcfc69b4c, 0x23416412, 0x21dc780e,
+    0x292dc4b4, 0xc46231ac, 0x1a741edf, 0x6025c70a, 0x6fa81df1, 0x52242e39, 0xe49a3ad0, 0xae946155,
+    0x42d0b3db, 0x2171321b, 0x3ae62d79, 0x81e4b89c, 0x4a1ad36b, 0x027cfaa6, 0x44f81a51, 0x72a826dc,
+    0xddcb19b4, 0xc30b42a7, 0x524429ab, 0x82939a72, 0x872105a7, 0x0d9b020d, 0x78ebb618, 0x3ec61491,
+    0x9a522505, 0x5ebe4b79, 0x5fe72d44, 0x4090d97d, 0xe6ec8f60, 0xe1950325, 0x2db5668d, 0x4d94e8ad,
+    0xf172889e, 0xdf7d7e17, 0x50d6f95e, 0x945b7e91, 0x999b0e99, 0xee81dc08, 0x8a6e5160, 0x2d54bcad,
+    0xc4f2482a, 0x5f94162f, 0xe92daf2b, 0x51498e5f, 0x655c1322, 0x9a5c8ecc, 0x542c599e, 0x6b522841,
+    0x30d7eb94, 0xc0bb4b16, 0x1a322ef7, 0xca01ca18, 0xde917780, 0x0ce1eaa4, 0xf28e23c7, 0x6f3da03f,
+    0x5d51078b, 0xb3f54583, 0xc3618225, 0x8c7376a0, 0x2c5a78db, 0xe1a1ca01, 0x26cad4ff, 0x9ff04457,
+    0x56f86506, 0x4427d060, 0x2c60b46a, 0x9fcd987d, 0x878dc746, 0xe6058637, 0x439b8b99, 0x4668d1f3,
+    0x133096dd, 0xe1d51ee0, 0x80e1c1a2, 0x2f501a09, 0x337b0ef9, 0xd9f1d8b6, 0xd666c6f7, 0x644fb15e,
+    0x29c052ed, 0x2cc65b01, 0x86c83b76, 0x74d330df, 0x99f55a90, 0xe7bb9d4f, 0x360ccd72, 0x57bc6f05,
+    0xe54156eb, 0x67a714be, 0x8f0055c4, 0x9b7ccfea, 0x78a164dd, 0x53d25514, 0xc74f4b87, 0x85926bfa,
+    0xb50d3b6a, 0x00f73d13, 0x96eb07b0, 0x1cc8b758, 0xc0789e47, 0xd366b46f, 0xa30c4770, 0x0d2b8cae,
+    0x3345c5b3, 0xf6301052, 0x9be47e98, 0xd86f3f55, 0x32092228, 0x33bf81d6, 0xd38147c7, 0xf3356f15,
+    0xda7030b7, 0x61d0efb9, 0xf2707e3c, 0x1637ef86, 0xdbdf0a87, 0x206f8088, 0xd217571b, 0xeac5df59,
+    0x096052ad, 0x0b845aab, 0x36bac3db, 0x5087175e, 0xe498d1c0, 0xa19811d2, 0x6b5222ef, 0xdcbe5525,
+    0xe48ad5d3, 0x14caec9f, 0x421052cb, 0xf617a196, 0xaaf369eb, 0x8eb9cd38, 0x22ff2c45, 0x06faf420,
+    0xbefad933, 0x32f00557, 0x66b308df, 0x846fc940, 0x5868d89e, 0x95d2c137, 0xed00d947, 0xc9e1e070,
+    0x0a82cf5d, 0xc73c0e9e, 0xaa6dd9a9, 0xfba4d3ff, 0xa7fbbf2f, 0x9fbd1ac3, 0xca40eae2, 0xdb633562,
+    0x6322dd65, 0x09d01aa7, 0x1e30bc06, 0x4f54e8aa, 0x7b4a1f08, 0xf0edf98b, 0x40cd83ff, 0x6a8204a0,
+    0x285ed6e7, 0xf11f1bf8, 0xa6826608, 0x5660232d, 0xeae8cac9, 0x932a7108, 0x3048bb38, 0x7db9d5a1,
+    0x0b0d2199, 0xc8f8ea0f, 0x3592486e, 0x8de5c40d, 0x4ba07c52, 0x2f3e42fe, 0x302675b8, 0xebad6de3,
+    0x43a58b77, 0xe92fb69e, 0xba094d37, 0xf5b8b0f9, 0x2fbe7107, 0x51e78261, 0x7a08c07c, 0xd199108a,
+    0x007e7d6a, 0x296fb80d, 0x5c4aa194, 0x02387c3d, 0x3d786de5, 0x0fa32095, 0x2342bb55, 0xad089a94,
+    0x4f65e1b0, 0x31870137, 0xf6af793b, 0x33487e43, 0x8b6dd5c9, 0x16108e8a, 0xd22d0899, 0x0bc2a86e,
+    0x631c6980, 0xa745fc59, 0xa6881493, 0x2c5966e8, 0x3374c9c3, 0xc0e39b97, 0x77a14592, 0x2e65cb5d,
+    0x91940664, 0x85e2b717, 0xc393cda3, 0xbcffc38c, 0x4bda149e, 0xbd96c42c, 0xe2de25dd, 0xa2c6cc36,
+    0xb7e15b83, 0x3dc8f595, 0xadc7a133, 0xd1f669e3, 0xc28eac13, 0x6c2f57f2, 0xa19d6835, 0x85b02651,
+    0x00a90f1f, 0x24c9e7c0, 0x390d6c93, 0xe2b6091b, 0xde3da123, 0x88da167e, 0xe7be53e1, 0x3ee6c7f3,
+    0x63d4c62c, 0x798c09a7, 0x516590a1, 0x5172d2c0, 0x02922393, 0xd7f70130, 0x806b4244, 0x0194c821,
+    0x86909009, 0xe73d1c28, 0x1428d917, 0x5c7e614e, 0x3ec9aea6, 0x7318e40a, 0xce04f345, 0xa6d5d2d2,
+    0xddff8a13, 0xf37da295, 0x3ae28017, 0xfa72fe8b, 0x84a46022, 0xfa3e669a, 0x9495ff3e, 0x0b69aa4f,
+    0xc1b7708a, 0xe1583fb7, 0x455a6dfb, 0xb081978a, 0xb0170c46, 0x35004a01, 0xa3925e5e, 0x7a233de5,
+    0x52bf385a, 0x1d20caaf, 0xcca83231, 0x212fba83, 0x38a97970, 0x57eed584, 0xb0670b48, 0x7282b43d,
+    0xfa6afeeb, 0x3636f6fe, 0xb8da5b9b, 0xdcc2e0aa, 0x80b240a9, 0x4864d0b1, 0x7202868e, 0x08405981,
+    0x09568c41, 0x189d238a, 0x03d3daa1, 0x89f8dd82, 0xa435abc5, 0xb7fa2c95, 0xee505a81, 0xef71f2aa,
+    0xdbda7b6f, 0xfba8ce43, 0x2f2a4516, 0x408c91ae, 0xbd30e40e, 0x4fe4aece, 0x0b21117e, 0x72ceead3,
+    0x32cee6e8, 0xbe259e08, 0x5c9bcce2, 0xbe432189, 0x41e7b9c2, 0xc8d0366b, 0x195b3a92, 0x8bd9b1d5,
+    0xaeed7608, 0x283e4d80, 0xf732ae7f, 0x54d163a4, 0x190fcba2, 0x977f31c6, 0x04dfb228, 0x3e2a165f,
+    0xa0a80177, 0x231bb0b5, 0x827d5665, 0x9fa42021, 0x3078239b, 0x678b039e, 0xb9e7bb76, 0x513b6c80,
+    0x01a46981, 0x06bcef30, 0x8532f289, 0x3e4ffa33, 0xe01fec4f, 0x54e64dc6, 0xf4a325d6, 0xe07f3695,
+    0x646be586, 0x0f2802fe, 0x7d22dfac, 0x6956d20d, 0x50058027, 0xb62cb61a, 0x1bc81df7, 0x1672903a,
+    0x5f9cd8b3, 0xd28ccaf7, 0xfb1dfce8, 0x6e062b01, 0xc149a903, 0x8c8e5fca, 0x4460712c, 0x8023ab27,
+    0x67e75000, 0x18ddf222, 0xca6fa8d8, 0x9c82c5cb, 0xda450e76, 0xf88f79a7, 0x68e5af66, 0x2497ff2c,
+    0xf6b58def, 0xff6eec09, 0x4d2a8359, 0xe2322df4, 0x1b6f1707, 0x3a63f2d0, 0x1ee1ae96, 0xabd352a3,
+    0xa1ec184e, 0x5fdfc979, 0x6d160c6b, 0x933f8d60, 0xd94c8227, 0xfff1e770, 0xa9a93138, 0x36db186d,
+    0xc72f00ee, 0x859cb1d2, 0xffd323a9, 0x3a224efe, 0xfd158f68, 0x8645596a, 0x0740b65b, 0x08993670,
+    0xa0fb4181, 0x02c3474e, 0x6f5f43b1, 0xf402d965, 0xa96588ad, 0x8d074fd5, 0x5b4de2c4, 0xcc00cd06,
+    0x2d7a4273, 0xe6d42f81, 0x113abf90, 0x02ab962f, 0x07a723b8, 0x8e23f583, 0xb9c0747e, 0xfa85ea75,
+    0x82b78273, 0x0e13b5ee, 0xbf825d9e, 0x400003a4, 0x8ac80df5, 0x33819c66, 0x06b4cf38, 0x41c59729,
+    0x075c0dfc, 0xbc1d8bd5, 0xe946d197, 0x8652dd8b, 0x292e5694, 0x9f3d13f9, 0xb9aecc09, 0x8ec11a70,
+    0x46d89307, 0x49b79973, 0xdd54bf33, 0x68556a47, 0x301d05b8, 0x26582843, 0xfc0fc599, 0xcab4ceaa,
+    0x680d096e, 0xb3c46f3d, 0x11d5bd81, 0xacbb1c7a, 0x3c84cbb9, 0xd6bd984f, 0xbb212f6f, 0xecd7484b,
+    0x48284902, 0x67ad0758, 0xef844095, 0xc3b91a6a, 0x8223871a, 0xd7fb726c, 0x3c4906d7, 0x519a1bdb,
+    0xb213dc78, 0x22934b58, 0x417c4aa3, 0xfe44c440, 0xe1c1e5d4, 0xfda56f06, 0x43429d7f, 0xa216db07,
+    0xd379f96f, 0x23c35ab1, 0x77d4090c, 0xb767d798, 0xd675a025, 0x8ae382b8, 0x907ef146, 0x39ac50b4,
+    0xdd2262e0, 0x0ef82934, 0x161f6230, 0xde84c58a, 0xbb84a537, 0x898a7165, 0x6091bd10, 0x0b385e0b,
+    0xb038db3e, 0x15a778f4, 0x70e632cf, 0xbab2b4db, 0x45151707, 0x6f631b83, 0x4d4ea739, 0x8369c4a7,
+    0x6032c043, 0x6a669c44, 0xf8748a3b, 0x57542266, 0xa8b06994, 0x5d7ea8c9, 0xe724a1cc, 0x396f5df7,
+    0x39613a10, 0x8d489db5, 0xa348f7da, 0x5a6a742d, 0x396bd4fe, 0x3b09ecf1, 0x949f64af, 0x537ba428,
+    0xaf73b227, 0x6b0fcd40, 0x456caddd, 0x3b75172a, 0x58e7972c, 0x90d4daa6, 0xdc1734af, 0x72044f54,
+    0x508b826a, 0x1ec19afe, 0x384f17a3, 0x840d4686, 0x6fef6664, 0xd05f8fc3, 0xcbba76d4, 0x3b43eb02,
+    0x164c41f8, 0x0cc0ca4a, 0xeabed469, 0xeff3c3f8, 0xc98ff090, 0x3417ef99, 0x60cb5ba8, 0x58fc882f,
+    0x86c088dd, 0x6079bbd5, 0x31412bc5, 0x8974739c, 0x70a6c300, 0x6e57e4af, 0xa18d9a4a, 0xdac00492,
+    0xe5e8a6c5, 0x5a819bf0, 0x569cfa47, 0xab2576ff, 0xa0bd40dc, 0xf10abdaf, 0x0a1e0a62, 0xcad35f7b,
+    0x66da7b1e, 0xf0e972f7, 0x956549e3, 0xf92ca45d, 0xb16901fa, 0x1dfe6c27, 0xeca25d3a, 0x38721547,
+    0x6243685f, 0x9e617e5b, 0x685302e4, 0x7958a78c, 0xd0face06, 0x14aa282f, 0xba470645, 0xff0311a4,
+    0x814dc3d8, 0xbd03fe5b, 0x1e944915, 0xc3589656, 0x699c4a7c, 0xa315212a, 0xaf15356d, 0x362a7d78,
+    0x4d007ba9, 0x2bee7b64, 0xb7bcecad, 0xcdb14cd8, 0x51ca1e6f, 0x3b44c52e, 0xcb277d17, 0x17151f74,
+    0x5ba422f7, 0xfbf4ddb0, 0x8de34f25, 0xe6f575d3, 0x22c36aea, 0xf19d1ef7, 0x8bf43903, 0xc09e663a,
+    0xddad749c, 0x9de68e6d, 0x34a46707, 0x88ddf00b, 0x855b78e6, 0xbef96d02, 0xd64262ba, 0xa8a3b922,
+    0xc3a9663c, 0x801daf9a, 0x3489026b, 0xa255d293, 0xbc2500ef, 0xc07e85b6, 0x0d970d72, 0xdba6dd0b,
+    0xc958e96e, 0x8594066a, 0xc168886a, 0x89e47cdd, 0x936d290b, 0xf7c3b4d0, 0x9e95fe57, 0x82301e74,
+    0xcb33aff6, 0x465fc980, 0x8f79b0ef, 0x6a36e4e9, 0x97d84725, 0xf613e0f1, 0xb3b8907b, 0x8a43dfc3,
+    0x4e4bf665, 0xee981fbc, 0xec7ca2b2, 0xc755a297, 0x166b8790, 0xcb23882d, 0x5f35b14b, 0x8ddf98b8,
+    0x9a0b8b81, 0x53cc9db5, 0x0973581b, 0x051236c6, 0xcc6da2f7, 0x00fefb11, 0xad23ca6d, 0xe58ebaad,
+    0x54c77404, 0x031a7c24, 0x9b49d931, 0x7e56d5ee, 0xc8eafb1c, 0xd55d4b0c, 0x38c5a923, 0xfbf86153,
+    0xb4321e3e, 0x219f74f2, 0xf2f74d0a, 0x6719b919, 0xb8a6b852, 0x5ca81dd0, 0x499213a6, 0x11e51881,
+    0x61016165, 0x8c9fbf3d, 0xee156968, 0x121fc34d, 0xaa1591c4, 0x5bc47d46, 0xf5595a64, 0x359ad2cf,
+    0xde3ad690, 0x5a5b8842, 0x13115bc0, 0x7fa69d8a, 0xa723ba83, 0x1b1cd0f8, 0x66583536, 0x6e489f51,
+    0xf74bb55c, 0x60600fe8, 0xff366372, 0x60017ff7, 0x79897d93, 0xed326f66, 0x89f87391, 0x3b6bcefe,
+    0x9d7a160a, 0xf0239010, 0x757b507a, 0x6c3f9c0c, 0x78d81d31, 0x8925893a, 0x62348416, 0x35b38495,
+    0xbb7ea1de, 0xeaa0bae6, 0xb2fa9371, 0x20f3b473, 0xc320f6a0, 0xf1e301a8, 0x110da395, 0x55f834ca,
+    0x68bbbf3a, 0x47f65a04, 0xd5a184ea, 0xd6aeaab5, 0xc0a059e8, 0xcc98c224, 0xc5be218b, 0x3f84d7a5,
+    0x98d31944, 0x820bf678, 0x9a29705e, 0x5c8d8b1d, 0x284a7a33, 0xd2f38ebf, 0x5efcfbe4, 0xa2a4ac16,
+    0xa21e4e40, 0x6c1a663c, 0xc940a42e, 0xd9e35ecd, 0xbd02b4ed, 0x4c54056c, 0xc56501fb, 0x5b4c22d6,
+    0x3d90913f, 0x5e1ebc50, 0x283bdcb3, 0x05fd89e5, 0xaead3a47, 0xd975a5ba, 0x83fd2760, 0x43cf0df9,
+    0x0e25e103, 0xd87e78c4, 0x733bc38a, 0x91d34a10, 0xe8b5babe, 0x186810de, 0xd8211ef8, 0xdf5b28c0,
+    0x014f2ee3, 0xc2d5b52c, 0xf9751587, 0x31c78b92, 0x2f92709b, 0xe0a1b284, 0x3ac7c3ea, 0x5ad98229,
+    0x6b97c392, 0x806e59d9, 0x3c288a59, 0x28b9677f, 0x9833c13d, 0xd695f8de, 0x3d052841, 0x29cf527d,
+    0xcc21c1d0, 0x03a9f8f7, 0xbf593cbe, 0x1808233a, 0x199f6774, 0x40216668, 0xe83a1ddd, 0x6172c9cf,
+    0x2dfb6aa1, 0x40d79675, 0x619417ae, 0x433f38c0, 0x9fca6624, 0x293d1798, 0x425a86b1, 0x02be609c,
+    0xbf6fc323, 0x48cf9a8e, 0x0da3dd61, 0xa7e0e7a6, 0xcd5b1d32, 0x44b655cb, 0x886ba392, 0x886f8a4c,
+    0xab61b774, 0x2a360931, 0xb7fbd77d, 0xa104299c, 0x08d83b6a, 0x228b3256, 0x92f2bd78, 0xe71ec10b,
+    0x8a60c971, 0x2ef0b51e, 0x7e1811e2, 0x6b27e398, 0xe8baa919, 0x9c8aa3f5, 0xaed8398b, 0x60c13b8c,
+    0xb8310909, 0x7ff4242c, 0xf0b4d34c, 0x49195b21, 0x26553fa7, 0x44e67fc8, 0xa4917803, 0x8cc14ffb,
+    0x4b5a75cd, 0x83565fe2, 0xf3c90542, 0x1aa28927, 0x55193f5e, 0x969eff4a, 0xac9e8e84, 0xa873a660,
+    0x3656ebb0, 0x6d733780, 0xdf613b0c, 0xed2a265e, 0x730139bb, 0xa21ce490, 0x457664a9, 0x99670020,
+    0xaa9bc65b, 0x9f238d34, 0x68ff8800, 0x12adfc6e, 0x92441836, 0x67f6bab8, 0xe5c58c5d, 0x3a4dfd47,
+    0x76e60a10, 0x1e5e5858, 0xc4eabd5b, 0x326cd60b, 0x7e97efea, 0x92a9378f, 0x8bdc8d92, 0xd1ffefc8,
+    0x3d0888ad, 0xcc511975, 0x1abe710f, 0x22dfb20c, 0x4e91b3dd, 0xd6be0560, 0xdcbf5945, 0xe81837f0,
+    0x81c5694a, 0x18dc62a9, 0x54057de4, 0x00da8b87, 0x935c6de4, 0x3b840173, 0x74abd6a2, 0xaf65d130,
+    0x07424bc9, 0x7918fe55, 0x800f4525, 0xdde44850, 0x34cb796b, 0x78c0ffdf, 0x7d21bce6, 0x1cd266c4,
+    0xe88ee032, 0x79262414, 0x1a87fcb2, 0x2c887753, 0x98a7a1ed, 0xdfc02918, 0x1d7ff7f3, 0x110083db,
+    0xa4f113fe, 0xec1d02d7, 0xc9dbb9a1, 0xda2eaa1b, 0xeffdec2b, 0xcfb7ca5c, 0x2471aaed, 0x740dc6a5,
+    0xdc802a3a, 0x87b30485, 0x40be9c2d, 0x790703c7, 0xa6b778cc, 0xe7c63fa1, 0xc2b367a8, 0x6c308e8e,
+    0x4adb1455, 0x0e56b44c, 0xc625130d, 0xb9590f6f, 0xfca7505b, 0xcba55c0e, 0xf74215ca, 0x459ed124,
+    0xac1fa728, 0xa14daefe, 0xf2188cf3, 0xbc230220, 0x50eb2fa4, 0xd7913cde, 0xb0740aa2, 0xadf8cd04,
+    0x5058247f, 0x85f157f7, 0x3f1c0b7b, 0x25cebb1a, 0xd70a8421, 0x7f768c5d, 0x3710e6ee, 0x19751963,
+    0x0e13c08a, 0x79e860ed, 0xc162e1be, 0x32f07c7f, 0x7f7f439e, 0xa21dc1f0, 0xf6ac45c4, 0x11810648,
+    0x1d984161, 0x2552062d, 0xb402b7a7, 0x4eac86fa, 0x5a9e2cd3, 0x7e8d0b19, 0x08e6b2c6, 0xc83bfe1b,
+    0x25680102, 0x3ee058cd, 0x2d8293fd, 0x183f6cf1, 0x4f448d19, 0xddb6affd, 0x6509a34d, 0x0f25fb4f,
+    0xb3de80ea, 0xf567ff57, 0x222e5c8c, 0xa908fdcb, 0x5b6e0994, 0x620d4954, 0xf07ef2b5, 0xeee52852,
+    0x58dd4435, 0x78fa64d6, 0x0f1a97bd, 0x617035bc, 0x7c9c8df1, 0x9a0ede84, 0x1270942a, 0x6736ce71,
+    0xbab4bbf4, 0x3379f77a, 0x9ed693d0, 0x3a7de2c2, 0x6267a632, 0x46eb1963, 0x25c88e3f, 0x9ee7bd87,
+    0xbe5480bc, 0x90165dd2, 0x8803ca8e, 0xb8e1559c, 0x229d183a, 0xc28d7f6d, 0x9741a20e, 0x308373e3,
+    0x78d6c595, 0x72e94783, 0x66aec79b, 0x1e115703, 0x3cd3b8b6, 0xf3c61294, 0x4f7495f1, 0x35878001,
+    0x25152ab9, 0x757b1534, 0x92ed3093, 0xcb470026, 0x69509b6e, 0x3d952c12, 0xb2aa9670, 0x7bfa9fd3,
+    0x5b032aff, 0x451aec0e, 0x6198b0aa, 0x0c1d81fd, 0x3175308a, 0xe0752e59, 0x85c2ab4c, 0x85dbe998,
+    0xfdfe1962, 0x0a44af42, 0xf57381a0, 0xfa92fcf0, 0x6ad963c7, 0x58cc4b62, 0xd7f9456d, 0x98643b6a,
+    0x1ba621aa, 0x7362ea31, 0x0274d956, 0x82f9192a, 0x45fe538f, 0x54482f93, 0x650e112d, 0x80c946cb,
+    0x053a7915, 0x5a5a7a18, 0x23b798e5, 0xcee2b279, 0x3f11c545, 0x3d613ed7, 0x30364258, 0x6e1319d3,
+    0xdce74842, 0x3af23df3, 0x2dcb23e9, 0x8f7c4ee9, 0x7fd82069, 0x65800b36, 0x4a269f75, 0xc344a328,
+    0x00000000,
+    0x958b7249, 0x500e4262, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000822752278660603021077484591278675252491367932816789931674304512 */
+  { 0x00000000,
+    0x05f42651, 0x83584e3d, 0xc5ad66d6, 0xc00b68ce, 0xc65759ba, 0xa900ed25, 0x758e79c1, 0x86cf486e,
+    0xd9fc374d, 0xee6d508d, 0x053f4e17, 0x4c325108, 0x51e2a073, 0x899cd7be, 0x92c18b4c, 0x3bf11b3b,
+    0x19e1306a, 0x960de2ef, 0xf38956be, 0x71ff57c8, 0x2101f342, 0xb58068dc, 0x28270807, 0x52a7f813,
+    0x006d845e, 0x10e76283, 0x1d01e083, 0x5210065b, 0xe5b12a00, 0xf8b9ebd9, 0xefb0e491, 0xff7f4267,
+    0xa100d7a8, 0xd7e09b54, 0x557673b8, 0x71ef82ee, 0xd87d64ba, 0x264f6dda, 0x4d13051f, 0xda63fa67,
+    0x04767d60, 0xd5864bd1, 0x4b716081, 0x1bd6e6e6, 0x9a30193e, 0x4994f067, 0x8670baad, 0x685da5fa,
+    0x6d11b304, 0x2181b59c, 0x05129d42, 0xb2fcdc8a, 0xbfacbc1d, 0xcf9831da, 0x914c48c9, 0x7f62b486,
+    0x25652977, 0x09e1a23e, 0xe3037bfe, 0x720ea2e8, 0x9518c4bb, 0x77a39f62, 0xe87a9888, 0x1e5e1f7a,
+    0x7e9d49b5, 0x78d0e5f4, 0x86e5cf00, 0x16e6c48c, 0x610ccde9, 0xb3003ea9, 0xd60cc558, 0x8643f3b9,
+    0xfb914369, 0xc4d579c6, 0x89d9036b, 0x4973664c, 0xa653abc7, 0xc9264e60, 0xa199f2d2, 0xf8c39f98,
+    0xc4df0793, 0x6ac31499, 0x3c5a081e, 0x972c4c6f, 0x7b80b148, 0x6932207f, 0x347820d0, 0x4b7f9577,
+    0x89779696, 0xd6741fdf, 0x7759b09c, 0x0010281c, 0x0f120318, 0xc714c83f, 0xc926f016, 0xdcb7f781,
+    0xa32b88db, 0x65caac64, 0x7525ae85, 0x74d18e1d, 0xb2ab825d, 0xe7e6259d, 0xc08207d3, 0x7c4afc0c,
+    0x89bc7e3e, 0x9d2de121, 0x56173032, 0xa635bd32, 0x159aebb1, 0x0f6efea9, 0x4ea26b08, 0x9a1b4a8e,
+    0xae3f40d4, 0x9586ec7f, 0xb2be4364, 0xc580b153, 0xf5507b90, 0x6bfcf854, 0xe9a881b1, 0xc44ccc55,
+    0x568ca125, 0x8ed3dfa4, 0xbeb63d2d, 0xf4248875, 0x2552f24a, 0x4c39be5b, 0x860269bc, 0xef9a7543,
+    0xefe68a9e, 0x79eb2b84, 0xc1cf72ae, 0x4ee5d020, 0xca3310c3, 0x0196796f, 0x2263c29b, 0x585144fb,
+    0xbc7b43f7, 0x52bb0d69, 0x15f081e3, 0xd8e95abf, 0xcfecf844, 0x777c4275, 0x01cd8c56, 0x968eca10,
+    0x071215d5, 0x912e8505, 0x05b90a0b, 0xbaa50df2, 0xf0143f11, 0x9d4f2c6d, 0x4aa5180f, 0x6f8e95a4,
+    0x1a4c1a15, 0x8140a484, 0x07572cf6, 0x31352375, 0xcde27bdd, 0xfdc3b463, 0xd9016d0d, 0x0cbe201f,
+    0xc2ec9d96, 0x4353223a, 0x56c2c288, 0xfa84c85b, 0x74e1cd95, 0x027d5ff7, 0xe34eacb0, 0x3c66a490,
+    0x99e56130, 0xf93c8061, 0x7f260b5b, 0x4687ac18, 0x9e505e06, 0x6d54bbbe, 0x1d01f908, 0xaadb1f37,
+    0x3df70c4e, 0x0acfbd41, 0x93e323fa, 0x916ebef9, 0x7a7cc593, 0x20decaa0, 0x2c38ae3f, 0xd997464c,
+    0x77a949e2, 0x292c7711, 0x78bdb159, 0x3ce0f263, 0x2588a729, 0x0459ac66, 0xabd6365c, 0x1d532ad8,
+    0x9c334109, 0xf8ef5e75, 0x68c1ad23, 0xd5251599, 0xec580083, 0x33142c12, 0x34dad3b0, 0x16687f87,
+    0x11f569ad, 0x5a3eb71f, 0xd7600921, 0xa02f82f6, 0x9125a130, 0x7b01a153, 0xc8c19024, 0xb20cf677,
+    0x6d23a0d2, 0x726542ed, 0x9e534c8c, 0xb3f8aeee, 0x69f5d28d, 0xe98eb874, 0x6538eb91, 0x7ff22e31,
+    0xd9dd21e8, 0x89b7cba8, 0xc2db3b4d, 0x589892be, 0xe059d994, 0xf66c1165, 0xf3fe6745, 0xec341277,
+    0xa4202d80, 0xacddf7d1, 0xf95fa949, 0xf24fc1ce, 0xe8b3bd0a, 0x4fc31253, 0x457c5742, 0xe2057c12,
+    0xba83b73f, 0x4440d2d3, 0x9dbd9595, 0x95f9b0e1, 0x0f569793, 0x60eac61e, 0x7c1dcc09, 0xba9f5d76,
+    0x253a43cb, 0x3b356679, 0x6f3eb5b1, 0x79a11559, 0x01b1bf7b, 0xb1d88aff, 0x75ca63ea, 0x9fad5247,
+    0x08ba1453, 0x82b39abd, 0xab17ffb5, 0xdd229e0d, 0x18d23f56, 0x02bc0282, 0x8b0aa07c, 0x041ec454,
+    0x2835ffb4, 0x03757ecd, 0x0f26f915, 0x58bfb280, 0xfd16754a, 0xc17ed0ff, 0xb42dbdfe, 0x6760cfbc,
+    0x0feb51ad, 0x83c44e5e, 0x9865baf1, 0x84bd9b0f, 0xfe378c02, 0xa5bae500, 0x13faa4c5, 0x9a003e92,
+    0x124cfb52, 0x564f2ecf, 0xc0fedbbf, 0x29e38420, 0xdd4f9c91, 0x1475e816, 0x7699c079, 0x2cf90dee,
+    0x3a48274a, 0xe82b590d, 0xc412c236, 0x993b6186, 0x50e4b771, 0xb43c93c1, 0x4d263afa, 0x57aedad2,
+    0x9ad19470, 0xaebc086e, 0xf291e5fa, 0xb17319df, 0x48c566a9, 0x42c50cb7, 0xcebc4fa8, 0x1a4555e4,
+    0x18fec943, 0x6b47a341, 0xec85c2eb, 0xa38f94ac, 0xe5ae71fc, 0x191f0b95, 0xd4df0f5f, 0x20ce3df6,
+    0x9292a410, 0x0eacdda0, 0xf7047519, 0x2389a97c, 0xea0d5fff, 0x3cb742d8, 0x6215f784, 0x74d3f728,
+    0x64671bdd, 0xcc3719ec, 0xf3d8a79b, 0xe559f695, 0xbfff612c, 0x7b650bcc, 0xedae5bce, 0x06ad6498,
+    0x661b8fd7, 0x13ff2dc6, 0x07f0c612, 0xdaaa8515, 0xb8d38ee6, 0xe7347b0c, 0x458df296, 0x4218f0f5,
+    0x719bd445, 0x48f0afec, 0xe40b7642, 0x30055216, 0xf9435780, 0x4ad28e8d, 0xa273e0cd, 0xfa24b61e,
+    0x6d1cdb0b, 0x1a5bb2c1, 0x14e3b2d8, 0xd3f7a36a, 0xb067beea, 0x7c0227d1, 0xce8739a3, 0xaa7f8116,
+    0xc76442b2, 0xb705de14, 0x31614105, 0x1d16c2c0, 0xa9318355, 0xba263b6f, 0x49d1271f, 0x011c57dc,
+    0x69dfd1b7, 0x9c7c925d, 0x3234efd6, 0xc2fe8f91, 0x81657ca9, 0x0a403319, 0xca2d543d, 0x0f8a84aa,
+    0x4f15ae77, 0xe2109753, 0xcac47c53, 0x2447cc31, 0x5c45dab8, 0xacd4c580, 0x2a0ec7ea, 0x095338f8,
+    0x05020594, 0xe4fe7f57, 0xdc7a5c5d, 0xf27406c4, 0xdccf6199, 0x6f8cf59d, 0x4c5b41a2, 0xc0a0992b,
+    0xf758427c, 0x531b5462, 0x9625f664, 0xfef5a3fc, 0x089e6be2, 0xa8bfe2be, 0xc9376660, 0xdb3c4801,
+    0xf8afbd84, 0x6b38ab21, 0xa0c1b0b9, 0x1fa4e993, 0x047982c0, 0x5c80dcac, 0x16f51d47, 0x43f84e52,
+    0xe38d1a46, 0x219d663f, 0x5fb825a5, 0xe203428d, 0x3a7ef302, 0x53161e95, 0x68c74887, 0xfb478b00,
+    0xeab5abab, 0xb33764ef, 0xb1dcbd5a, 0x0800d657, 0xf257c366, 0x413f747b, 0xf09e2098, 0xca56c524,
+    0xd3803ace, 0xad96dccc, 0xa9cd7fda, 0x99289107, 0x7d20c896, 0xa90895df, 0xbefab6c1, 0x64007758,
+    0xa093952b, 0x75c5b2ee, 0xc04936d6, 0xc341a021, 0x31f17e6e, 0x855389a8, 0x3fa6d71d, 0x49e8ab10,
+    0xb6641162, 0x7cbc4333, 0xde0f942f, 0x9b2a5aae, 0x90780861, 0xa978093a, 0x42f80bf6, 0xb5b61b9c,
+    0x5de86cf7, 0xea76a103, 0xd7810467, 0x076ca32e, 0xa73ae0ac, 0x75c5692d, 0x53932e36, 0xa29e7c71,
+    0x37b96e7f, 0x4db78612, 0xc93d4be0, 0x6b9c9200, 0xdeb428e8, 0x38622f33, 0xd65c74c3, 0x5d47c7ef,
+    0x6de4d62a, 0xc48e6a7f, 0x84bdcd6c, 0xcac736c8, 0x0eb8ccc4, 0x1826576b, 0xa16aca1a, 0x260bb29b,
+    0x84ae543d, 0xc59b10e2, 0xc96c3cb1, 0x68b3ca20, 0x08a7d051, 0x58f2c8a7, 0x7d48890f, 0x8bd088c7,
+    0xbe95b990, 0xe58c5dcc, 0x9d34eabf, 0x67e7fd7c, 0xe95a4a9e, 0xe311d353, 0x2eec69fc, 0xc27b079e,
+    0x2e88bd3e, 0xc0af3a7f, 0x5a79b0cb, 0x7385f065, 0x13ec9b09, 0xddd36ad0, 0x7a1c523c, 0x95eb8040,
+    0x6c83efbc, 0xf57f624c, 0x355c08ab, 0xf868ee64, 0x8d33887b, 0xa1fcec17, 0xf3b43903, 0x61c20400,
+    0x3ae74107, 0xd48585ca, 0x990fddab, 0xcf07f6bf, 0x418722a7, 0xe67e9589, 0x22ed30c7, 0xbc39eecf,
+    0xb389fe6c, 0x6c65ce41, 0xcf6e5c04, 0x393a960e, 0x00d858b3, 0x9fca8f4b, 0x0dc86f0e, 0xb70fe323,
+    0x7ae3facb, 0x4057ef79, 0x0b6365c9, 0xb74136a9, 0x61b827d7, 0xa00d9fba, 0x175af35c, 0xdc12e8af,
+    0x85679d61, 0xf73524a6, 0xcf91355e, 0xdf1199e4, 0x224b01db, 0xae3fd78d, 0x1013652c, 0x65c54438,
+    0x7a2b910e, 0x13cc1cc1, 0x04946cc0, 0x525820b3, 0x7b070d1f, 0x216edfb6, 0xff170c8d, 0x9901f2f1,
+    0x1f17d636, 0x5878e778, 0xa7b61b4b, 0x7b1bfd8f, 0x81c18740, 0x3ed0d7c0, 0x0cc80bc7, 0xb905552c,
+    0x190fb1b7, 0xb280fbcf, 0x8f47d0b6, 0x56ee5737, 0xd081e819, 0x0540e280, 0x16ba5aad, 0x6d072e0c,
+    0xacecc098, 0x459264fc, 0x0067b3c2, 0x8903365a, 0x11e5cae2, 0xc429d94a, 0xf2045b75, 0xe09ce85d,
+    0xfa59b6a6, 0x41f3dcf6, 0x805ad390, 0xd6fba3ea, 0xf7e0c717, 0xa0007aaf, 0x06f98f7f, 0xa1dcbe9b,
+    0xc0c53ae3, 0x6f7cc77b, 0xd6c6ccb2, 0xf1397c28, 0x273bf405, 0x28de3ade, 0x5d12fee5, 0xa7efbd9e,
+    0x2675bbb2, 0x3c870250, 0x8721f165, 0xe057ffc1, 0x72393b20, 0xfdebfa01, 0x2de1c996, 0x56ba50f1,
+    0x517b8158, 0xfa642124, 0xb5dfa0d4, 0xe98e3147, 0x75db0e21, 0x5879439d, 0x52dbdf43, 0xfcf9aa86,
+    0x8f6ddd2d, 0x7662710a, 0x8944a597, 0xda1bd8b7, 0x75204bb7, 0x053e1a03, 0x54d3da45, 0x715a0d2b,
+    0xcc7116c0, 0x997a7ac6, 0xc9bf3cb8, 0x3dece0c7, 0x677b0113, 0x45196cd7, 0x70842c6e, 0xef9da9e1,
+    0xc823489f, 0x524e5dd8, 0x5b4d927f, 0x5c514e31, 0x5afb8511, 0xcee4b0b1, 0xc11f706f, 0x0b94e50d,
+    0x98aada25, 0x9cf74d5e, 0x52cac511, 0x0d6478e0, 0x3f94a6a5, 0xe6726014, 0xdc696599, 0x265684bc,
+    0x1c2edfca, 0x9dd73e7f, 0xee60931f, 0x31b4210d, 0x1a1e8a21, 0x0de18fe9, 0xe2d5b9b7, 0xb75d5b2f,
+    0x03ad0161, 0x865d0e33, 0x416ab809, 0xb744d0bb, 0x71f31040, 0x98f998d8, 0x49e2477a, 0x580330c7,
+    0x90dd1ab9, 0x1be75eb9, 0x6aac3838, 0xa6b96475, 0x22045e1b, 0x89ec0861, 0x552a889d, 0xe22ebd0c,
+    0x64a00e56, 0xaafb4ea9, 0xca2b1574, 0x363f7e31, 0xff1e1200, 0x35e93ba9, 0x04b6cbe0, 0x62a3d5f7,
+    0xbaf9b03d, 0x2f23707a, 0xab2a5450, 0xc619bc11, 0xb75027fe, 0x20e5569f, 0x3efd4d0e, 0x6ab890c2,
+    0x9fdc3b10, 0xb381d08a, 0x41887ff3, 0xd80c5353, 0xb7d2d746, 0xa6c521d9, 0x5d5833a4, 0xb331c0b7,
+    0xab9fc063, 0x7c63a34f, 0x50a27a02, 0xe2c19d14, 0xcf37dcfe, 0x54022d93, 0xd9150856, 0x15e861d6,
+    0x4c9c39b3, 0x38241d2c, 0xf5dbf027, 0xebaee272, 0x2189014d, 0xbf999d80, 0xcd1f3044, 0xd16973e1,
+    0xe24d6044, 0x00eaaad9, 0xfd87d665, 0xc77aa5a8, 0xd04f398c, 0xf330296b, 0xc356bcaa, 0xf44fbd77,
+    0xd91d666d, 0xe80a6098, 0xfd7786f8, 0x777167b8, 0x4abf048c, 0x38f4e85b, 0x37029bee, 0x25c2ce2c,
+    0xbff10482, 0x3f86508f, 0xd67c48ce, 0x7200f300, 0x8050e974, 0x40fa699a, 0x66cf2b5e, 0x511c5d4b,
+    0xe23ac6cc, 0xa6f8508f, 0xc6127712, 0xe1ffd34b, 0x813806fc, 0xfa2147b7, 0x8e18d1c7, 0x73a5cf60,
+    0x8f2f8341, 0xecee4620, 0xfeb370f8, 0xb799575c, 0x3b347d86, 0xbe14d3aa, 0xbe8152ea, 0x096f8b08,
+    0x2e8aee5b, 0xff55a419, 0xf678dee0, 0x48b50ecd, 0xf496192a, 0x52d636ce, 0x8e51ee57, 0xf1c89d35,
+    0x0dbb186b, 0x70e7fd7c, 0x2ba42c73, 0x22cba9b6, 0x9cc8de39, 0x1d5eb283, 0x06e5d5e0, 0x563f034d,
+    0x96bd20b5, 0xaf8c384b, 0xd90dbb63, 0x69bd5b8e, 0x70840e13, 0x7bb93999, 0x2d28a40a, 0x7f407582,
+    0x83ac93e0, 0x44debbe5, 0xf48890d7, 0x5cdd1de1, 0x2c3ca682, 0xfae751b8, 0x1a82f90a, 0xb1198f81,
+    0x932eb14b, 0xbde7d084, 0x1d9e989b, 0xe8524dfd, 0x1cc0850f, 0x5e08e28d, 0x341d930e, 0xfc146ac7,
+    0x1ac88913, 0xb2c57594, 0x8816b935, 0x23b0449e, 0x0c50097e, 0x6511d456, 0xb002acfb, 0xf27ac995,
+    0xd7f9b29f, 0x323d94b0, 0x8e5c31de, 0x80210611, 0xe4fa8124, 0x0015f504, 0xfff08775, 0x702c3709,
+    0x8c2df91d, 0x0463c222, 0xd9b4cea4, 0x880b3509, 0x50b1b001, 0xa45b1603, 0xe2637dc6, 0xe7a4af3b,
+    0x4b659c40, 0xf6698bda, 0x2c8efc40, 0xa2531692, 0x4d475c5d, 0xec92ab5f, 0x05cf2165, 0xd2f60d3c,
+    0xdb4fa510, 0x4b071d21, 0xa90fd3b4, 0x52095122, 0xa23f3f7f, 0x63eba819, 0xd285cca8, 0xade8629f,
+    0x036705dd, 0xa7c44b22, 0xd364a219, 0x9bcc373a, 0x696034f6, 0xe02fcd33, 0x7e37fd38, 0x89412ba6,
+    0xbb53671e, 0x4c3e6a79, 0xfdf0e348, 0xfb275d7b, 0x10c9b7d8, 0x5b3a2872, 0x7a703f10, 0x8cd2f608,
+    0x35aa0582, 0x22eb0560, 0x0517b574, 0x7d5ca8a7, 0xdd2c6e63, 0xbddc8cf8, 0xda947dc8, 0x74237e65,
+    0x07dfaccd, 0x83d17268, 0xeccb91cb, 0x0c4068a8, 0x495a51b7, 0xa99ccad8, 0xdfc097f1, 0x0e2f3f86,
+    0xdcf22493, 0x59705340, 0x084c8409, 0xd190a404, 0xc09fef60, 0xa4234494, 0x1f587c78, 0x9409e11b,
+    0x37c19b77, 0x8f11f2e9, 0xfd8c0ccf, 0x4e93b065, 0xf1baca48, 0x9ebcd539, 0x548149f0, 0x12180eed,
+    0x05e40f31, 0x9b376b8c, 0x950ad83e, 0xcf8352a0, 0x48ca9165, 0xc17e569d, 0x72c72ca2, 0xf3e33cf1,
+    0xe1efa804, 0x2e0a06b8, 0x9a6492df, 0xadbbb4b0, 0x547bf291, 0xcd4bcb57, 0xe898e4d9, 0xe1768f2b,
+    0x78f6becb, 0xac2307ca, 0x204421d4, 0xb7f081e3, 0x97bed578, 0x8138a5cc, 0xcfc7ef5b, 0xc8b68e21,
+    0x895f3822, 0xbed4635d, 0x00d03256, 0x5616c977, 0x53e265ed, 0x40d119b4, 0x2ab39a76, 0xb0f02b46,
+    0x7c284099, 0x388527ff, 0x25a21d34, 0x39b401c7, 0x14922faf, 0x7c65f354, 0x65128553, 0x97f14058,
+    0xb63dc573, 0xa49b84c5, 0x9085fe41, 0xb0649872, 0xcff5fb19, 0x4e3e29f6, 0x632a4822, 0x9b0efb95,
+    0x4a90dd06, 0x3c740263, 0x11ae8c79, 0x54cb20e4, 0xf6ef9356, 0xb750ddd6, 0xe28ae639, 0xebde753c,
+    0xf22649e5, 0xe16c3f5c, 0x1eeec435, 0xddc61d82, 0x9424afe2, 0x3c7e8f9c, 0x82e417b2, 0x5832deb7,
+    0x99c25a87, 0x70b59b24, 0xafef5191, 0xc0bdd04e, 0x56f0c7de, 0xd23455dc, 0x8a71ac57, 0x370ee7f3,
+    0x10cb2786, 0x75568851, 0x516caab9, 0x892ddf44, 0x0dfa38ec, 0x20289131, 0xf633f9f5, 0x02fecd5c,
+    0x2200f2c2, 0x63291fca, 0x1f617237, 0xeb7e1274, 0xd76ff81c, 0x15e6034d, 0x6de20a89, 0xcc667e39,
+    0xfdb35987, 0x7cf7fb0d, 0x9b7ef2ce, 0xe62c0f8d, 0x7196dc21, 0x60024d07, 0xb01060ae, 0x6f83ca70,
+    0x2d2a91ed, 0x5e5c0018, 0x6c229532, 0x4cfcf2f3, 0xcf277226, 0xa244cd0a, 0x97243cdb, 0x0352b9e0,
+    0x88389946, 0x05a44b58, 0x3c066996, 0xdbe38e4e, 0xccb2bf95, 0xfbf9a87f, 0x51109b05, 0x4c29ce20,
+    0xe20a6405, 0x0a9f82bf, 0x1e7a8f5a, 0x3d5bb34d, 0x2d8bed47, 0x8aef2bd9, 0x5b100c90, 0xde6c5ffd,
+    0x88b962be, 0xb2d288e1, 0x92f6f9d9, 0x78a3d11d, 0x662c046d, 0x3b9808d9, 0x5e42a8a6, 0x5620a250,
+    0x10e5ad7b, 0x212cf847, 0x585b8371, 0x8b60113f, 0xf8946e0b, 0x1a94c6e7, 0x5c1898ac, 0x4279ca63,
+    0xae553704, 0x98f03541, 0x140878c1, 0xd8e3fd2e, 0x78d55eab, 0x5cdba01d, 0x0cf8402b, 0x0eef8ca0,
+    0xcc912f47, 0x6fd2ee26, 0x81dbf5c8, 0x7707d6a2, 0x71d3587c, 0x92b6ad97, 0x3a33263c, 0x2c050b5d,
+    0xeaa65ed3, 0x71e4784e, 0x07483d00, 0x65eda912, 0xfc03bd44, 0x673bac18, 0x06f8f069, 0x9e188df4,
+    0x00000000,
+    0x4ac5b924, 0xa8072131, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000411376139330301510538742295639337626245683966408394965837152256 */
+  { 0x00000000,
+    0x661f3d15, 0x336911fb, 0x40c49aaf, 0xe6ca41bb, 0x2f094a20, 0xe60da9b9, 0xee2cbe67, 0x7fed6a46,
+    0x0d2edf44, 0x9ba5dd62, 0x07be3288, 0x65122a95, 0x8fc80534, 0x9305a194, 0x043adedc, 0x1d4181b5,
+    0xf5266a34, 0x421205e4, 0x61dcc8f6, 0x318bd088, 0x48bd407b, 0xa32eae79, 0x38843db7, 0xeaf6188f,
+    0x55f39560, 0xf71450c1, 0xc2c17c20, 0x1d7ea9db, 0x1d56d2ae, 0x25bdfc72, 0x10deb856, 0xdf576820,
+    0xf9ab7440, 0xabc89a4f, 0xf8befe00, 0xf7f04526, 0x6d113a0c, 0x68ef72bd, 0x50b7dc81, 0x7809c29a,
+    0x62a89ef4, 0x3d59b1bf, 0xac4ccdc3, 0x278d80ad, 0xbdc3a64e, 0x5973512a, 0x17adfbc3, 0x272570a0,
+    0x14e8048e, 0x271f5b5c, 0x0351d23e, 0x4a542548, 0x690ca71b, 0x044d89f9, 0x86fbcbd0, 0xe2cd0fec,
+    0xf7de3692, 0x35fa0725, 0x6ff16159, 0xb8fb08bc, 0x65fd43cb, 0x1c022d77, 0x82acf28f, 0x3f1cc29c,
+    0xbdc5e265, 0x141aff0c, 0xaed57f0c, 0xaf71772a, 0xb4714550, 0x78343737, 0x2230f7ff, 0x9c11f4ce,
+    0x9417a6d6, 0x9a3cd52d, 0xee162254, 0x0bb10f3b, 0xe665d7ba, 0x3c142365, 0x01a3f2f0, 0x6d6f539e,
+    0x403fffaf, 0xe5c8283b, 0x49be2b3b, 0x754c8565, 0xa83d41b9, 0x6769c8e2, 0x762aa767, 0xf4a360bb,
+    0x9b528bee, 0x5d2f1457, 0x76d73df4, 0x832954fb, 0xd70c74ea, 0x8e71f769, 0xcb309ae1, 0xfa7165ee,
+    0x292cb735, 0x92482688, 0xda63b862, 0xa5561636, 0x7b9f5096, 0x0dd14f25, 0x249712f3, 0xf98e845f,
+    0x6831d8bb, 0xdd07a012, 0x071122ce, 0x2a5d662f, 0xa692ca58, 0xd59dd540, 0xd5442a2a, 0x18ec423f,
+    0xda763081, 0x2e00264d, 0xa1b798d8, 0x85ce54b6, 0xdc209dbb, 0x8ea06ff2, 0xf814dca0, 0xc045c5d3,
+    0xc47aff29, 0x4b6d9b3e, 0x34963992, 0x0ad9e4b6, 0xc62ee7cd, 0x1ac7a500, 0x5a0979e4, 0x6a148a45,
+    0x53038548, 0xa54575f5, 0x4aa625de, 0x016bed73, 0xee91ccb7, 0x3c8c571c, 0xabb687f6, 0xdd606dd5,
+    0xf505927e, 0xfbdf1473, 0x1ac2ccab, 0x09324b58, 0x16024aa0, 0xcd47acae, 0xa8e0cd32, 0x2dea4188,
+    0x8cf2151c, 0x673c9352, 0xc101458d, 0x18b93e0a, 0x9b227ebf, 0x6fe0dbb6, 0x8a9e17d6, 0x2a7e07d7,
+    0xa88031cb, 0x755676f3, 0x29d44840, 0xc0a36443, 0x5cfdd384, 0xbca1dcee, 0x3bee9b6b, 0x9e738724,
+    0x0e186903, 0x0998eda4, 0xaacab596, 0xeab2d140, 0x4248da87, 0xae500afb, 0xe7322be1, 0x3595a438,
+    0x810eed5d, 0xbd651d06, 0x6c2630d6, 0x7def9262, 0x726239dc, 0x445611f4, 0x31d03a15, 0xb1a730a9,
+    0xc6282515, 0x419a7b6f, 0x422e7cfb, 0x1426574e, 0x5846adb9, 0xb7d5dd96, 0x5fd71932, 0x1dbba255,
+    0xf336ce86, 0x0f89ff8e, 0x9ea3f6de, 0x1410aba3, 0x918020d3, 0x172e2660, 0x1892719d, 0x68a1a645,
+    0xf2f7ee8a, 0x2c25353a, 0xdc20c1a5, 0xda82d542, 0xf1071d85, 0xcd2d1b88, 0x46501bd1, 0x0535a88f,
+    0x1432a6d8, 0xb43fae97, 0x8d6d3d6e, 0x5655fded, 0x8095ecca, 0xd8f1015a, 0xd67b2c0d, 0x2289e1da,
+    0x5d8a6efd, 0xf0225a97, 0x598c7f7a, 0xc3d00e68, 0xefe2137f, 0x42aa49ea, 0x76739c33, 0xd9387575,
+    0x3b74c725, 0x90ae5067, 0x52e8820f, 0x91455fda, 0x24baeaa0, 0xc91eda05, 0x7398d299, 0x3bc6aaf3,
+    0xf4e4fe00, 0x0ef129c2, 0xd11d80c1, 0xea51f156, 0x8c619bcd, 0x63e1a3c6, 0x4ad434b2, 0x2e7100ed,
+    0xa0735785, 0xcb5eb4e4, 0xcee6cad1, 0x5064155a, 0x02e2e921, 0xd06f1cb0, 0x50b6cfa7, 0x3898afee,
+    0xb7a5ca04, 0x9359c034, 0x076fbfe6, 0x439bb65a, 0xe3549318, 0x0deb3a28, 0x398410e8, 0x29421004,
+    0xbea34a66, 0xd19602b7, 0x3d265c83, 0x0c84397a, 0xe543fe70, 0x35794960, 0x1f48158b, 0x98e70368,
+    0x3f6c6c09, 0x95ceac07, 0x0aca54fe, 0x7d271696, 0x634a23e1, 0x0eb4291d, 0xf6ef1924, 0x4d46d7d7,
+    0x0f2b73d0, 0xa321de9c, 0x967ff2e5, 0xf6428ed0, 0x8ed7020d, 0xb9bd4eb3, 0x8a85d530, 0xc211cc6e,
+    0xc6823b15, 0xccab7436, 0x1fd856c9, 0xe4c41f3c, 0xf273597e, 0x5a844e66, 0xa6323c29, 0xb35f7ec7,
+    0x184a694e, 0x59b55d2f, 0xa42b758f, 0x885356b8, 0xe04d3c48, 0x36e4e80c, 0x48fb6917, 0x9c9c383c,
+    0x25957bfe, 0xe674f980, 0x2abc6d50, 0xae98d763, 0x7244fe0b, 0xfd4a7d10, 0xf96a624b, 0xfae718ca,
+    0x9c156113, 0x5200ef59, 0x833ecc38, 0xfcf72956, 0x050d4533, 0xcd689363, 0x47bda047, 0x2b06914e,
+    0x78b60e50, 0x380ad331, 0x19973635, 0xb615006b, 0xc3c0daa1, 0x4b8cf2df, 0x6bc053ea, 0x480bc91e,
+    0x38e2b136, 0x442118f1, 0xc7066e67, 0xdc479e96, 0x9803e16b, 0x4df049ea, 0x59023f94, 0x7488194e,
+    0x4cdd84e6, 0x715d0173, 0x25c566ae, 0x67e3cfe1, 0x34668064, 0x0a5ca727, 0x407938e4, 0xf235eac4,
+    0x0ead0d66, 0x36296485, 0x67b2194b, 0x8846f471, 0xf24f3225, 0x2bfcbee3, 0x236f2c34, 0x1fad3025,
+    0xc0b51919, 0x2aff21f0, 0x2faf6ee2, 0xf6d40b3f, 0xaadc899b, 0xa402a3cd, 0x9b97dee8, 0xeca0f33d,
+    0x5705faf0, 0x2a91efb4, 0x341cee78, 0x7a3bcbf3, 0x5c0e0c0a, 0x0812908c, 0x7e0e6225, 0xd22eb1b5,
+    0x621bf198, 0x77bb98f8, 0x18edddd9, 0xd2c01a67, 0xeb6e8610, 0xc7cbae93, 0xb6bc44e8, 0x1c5acf16,
+    0x4bc1d19d, 0x16473825, 0x269ac0ef, 0x3f6be153, 0xeca5609f, 0xa8693058, 0x64f32c68, 0x218f8f7d,
+    0xff0b7657, 0x4eb84868, 0xa6ec4dc7, 0x40ba0872, 0x603ce8ae, 0x58c6e22f, 0x88a9681a, 0x0da49516,
+    0xcc593daa, 0x19174221, 0x2c117819, 0xe957cebd, 0x0e2ceb78, 0x9ec38e44, 0xc7f98c9a, 0xacfdf484,
+    0x70aca01a, 0xbbb0e92e, 0xa7f18928, 0xf7c8f377, 0x45bf327d, 0xbe32ed38, 0x8ea00953, 0x079d7392,
+    0x7059b420, 0x5e2f7fc4, 0x8bbff50d, 0x6561261c, 0xc8bbb009, 0xdce21ca8, 0x590cb7f6, 0x74ecea95,
+    0xefbcddb5, 0x66808479, 0x48d96eb2, 0xf516a019, 0xd57e78f7, 0x65c427ea, 0x30a1cbb3, 0xc4253c01,
+    0xd2c1aa1d, 0xc57955b3, 0x2631a907, 0x6aace63f, 0x912862f6, 0x8746fe17, 0xbb27cd00, 0x0ce98186,
+    0x8e02e965, 0xf773df38, 0x26194440, 0xe8746735, 0xa0a6cfa7, 0x7986659f, 0x60cfaed8, 0xa8f8b5ff,
+    0x7543f631, 0x43519d03, 0x00140cae, 0xb2da49c7, 0xbd975912, 0x58c2c5e4, 0x8dd9007c, 0x4a2ce126,
+    0x7479480b, 0xc8064143, 0x044faee8, 0xb45e654e, 0x9357b8fe, 0x27cb9b5a, 0x32b370ac, 0x1519e777,
+    0x24a77929, 0x202b0a5f, 0xd87b6517, 0x5881b323, 0xe4ee6bb5, 0xf0701192, 0x6cc1bf28, 0xbf6f455c,
+    0x623a10b3, 0x0bbb43a2, 0xba256f32, 0x80561fe8, 0x92c408f5, 0xe7ba27ec, 0x72224bd7, 0xcc97f608,
+    0x9e9d78fd, 0x744c4cc8, 0x10308193, 0xa9c76e60, 0xfb26ace4, 0x717de818, 0xf7babe18, 0xb3ff348e,
+    0xcaa2b3d1, 0x0dab761f, 0xb547b0e6, 0xd4aa64b4, 0x2daed0e6, 0x325120f0, 0xcbac5795, 0xa0a170ef,
+    0xbf2e1ad1, 0x949d7dee, 0x6d36d657, 0x0ba67e2b, 0x06807be7, 0xe6fa5f92, 0xacb94619, 0x8a415ea8,
+    0x8479888b, 0xe9700976, 0x813aa7f0, 0x52fbbe58, 0xa120f933, 0x59ccd462, 0x72f91169, 0x68d14d3c,
+    0x6750230e, 0x5302183d, 0x5b5faafa, 0x71f130b2, 0x5d0c1630, 0x74df1be3, 0xd9a86bc4, 0xda1d137f,
+    0x66c60db4, 0x0252ef87, 0x46df90d8, 0xfa30c91e, 0x3f8b7514, 0x276e5f45, 0x5280bd1c, 0xc9e7e1c3,
+    0xe468f1a0, 0x11038301, 0xdcaae488, 0x7f85ee8d, 0x68b7029d, 0xd5ab0baf, 0x23296ad3, 0x31983edd,
+    0x217f166f, 0xa3193243, 0xce1dc49d, 0xf13aa0c1, 0x8debd67a, 0x85e29df1, 0x10d3962d, 0x583503e0,
+    0x3070b3a0, 0x63d56606, 0xd1041dcd, 0xbcf8a184, 0x76ac5f52, 0x65a0ac60, 0x32909a92, 0x402f3e81,
+    0x772b4e00, 0x2032e87a, 0xdcd8e09f, 0x52f480c9, 0xc856dcbf, 0x18096042, 0xc4550c04, 0xeac13422,
+    0x41dc6626, 0x84d79a5b, 0x8e580773, 0x5181f76a, 0x3eb0b18a, 0x5f825c3c, 0xba7a5fdf, 0x1820c445,
+    0x2a5a2a6d, 0x7e5cb0f3, 0xb2f22df7, 0xc253c2ac, 0x5a651502, 0xe0af35cd, 0x2f783f7d, 0xba230b6d,
+    0x38ee73f4, 0x8c0c944a, 0x6650f7d6, 0xb8690ac9, 0x57a35ed3, 0x0ac23676, 0x08cc5f6c, 0x7f1a4f1c,
+    0xe467bfa8, 0xd4daff0d, 0x9424d794, 0x4e02dfba, 0x53a414dd, 0x83d635f4, 0xee08308e, 0x83927d51,
+    0x024a2ff1, 0x9927f933, 0x5aca3e4e, 0x8e841e88, 0x066f2c7c, 0x74ece1dc, 0x402a691f, 0x69dca45c,
+    0x12e8a7d0, 0x74fbd865, 0xff209fd9, 0x35fe7b38, 0xafb39d32, 0x7ea2c179, 0x239597d0, 0xe888bbd2,
+    0xdfe51dbf, 0x4f8453a2, 0x59a84abb, 0x34226b73, 0x8a6f81ce, 0x3355fbd6, 0x8a6374b1, 0x9f4f9c2a,
+    0x40b9c239, 0xe42c0cc2, 0x0d7f80bd, 0x33385582, 0x4017b4a7, 0x15b23a81, 0xc0851600, 0xc472799d,
+    0xdb18a568, 0x677c7d11, 0x02ac4601, 0x0c35bc50, 0x69ded20e, 0xdbdaecfd, 0x669c823f, 0xfc14734d,
+    0xb031c444, 0x92b05da8, 0x0aabbcbd, 0x9f0bf40a, 0x94ab7638, 0x6e696f27, 0x287896e7, 0x9a50a6f4,
+    0x6baaba52, 0x5e9cd659, 0x2fbae59c, 0x10eb039c, 0x4e8ca614, 0x60424594, 0x8b31ebca, 0xf7ebd311,
+    0x959162e3, 0xbf1d00b6, 0x9313f602, 0xca9c571b, 0xc89ad5da, 0x91ee8044, 0x628d1ec0, 0x74731576,
+    0x523afc7d, 0x6d937ef9, 0x303d2916, 0x13ff938e, 0xcfa02683, 0x2171e82a, 0x9d199fe1, 0x66986575,
+    0xf4bc41e6, 0x3700cfa0, 0x71b8a85c, 0xc7b97ede, 0xe5c0af7f, 0xff2500b3, 0x5df305d2, 0xf86b43fd,
+    0xe97ef225, 0x41bb8648, 0x85ad3a6c, 0x58d7ce0b, 0x9453e26d, 0x60b444f0, 0xac94eb65, 0xa35d1158,
+    0x3437c1e8, 0x0e86f88a, 0x80bff70e, 0xe681517b, 0x5563d4d2, 0x5aa0233d, 0x864adad3, 0xf7e3b199,
+    0x153c9b1f, 0x4d7795f3, 0xdfd9b145, 0xe9b3fe9b, 0x6ad31d8e, 0xdd474137, 0x1c37419e, 0x639858d0,
+    0x71a96954, 0x9af65501, 0x1099736d, 0xee502715, 0x4a557fb1, 0x63d6438a, 0x7f098f7f, 0x19fa4e96,
+    0xa04f4804, 0xe3ddf0ee, 0xa88eacee, 0x6f0e4329, 0x68bb4653, 0x54eeb3c6, 0x161b0e64, 0x545b91e4,
+    0x73f4b8f5, 0xc7598fbe, 0x29120838, 0x90c9bae8, 0x1d11dca8, 0x56c14ea3, 0xfc8aae78, 0xbbe5a294,
+    0xb7d26737, 0xb5783f8b, 0x5ff1f305, 0x945d9cf4, 0xdd33bb09, 0xdc8bb02e, 0x60d9addd, 0xeedbdc2d,
+    0x148bb259, 0x433b00d7, 0x66604c39, 0x2c74095c, 0xe360623d, 0x58831e88, 0xd78add40, 0x36affb91,
+    0x8bd6c850, 0x8cb41510, 0x429c5344, 0x068fa648, 0xdb208559, 0xce6f11ab, 0x6cf6c1c4, 0x7df939b3,
+    0xb5d58714, 0x360716e5, 0x6fe2b17f, 0xfbc9e1b4, 0x41091135, 0x40882ecd, 0x0b72b6b0, 0x1926a69d,
+    0x494181d3, 0xe922112e, 0x33232365, 0x223de29b, 0xc1c027b6, 0x3a97aea3, 0x39acbc00, 0xe00c816f,
+    0xb08177a5, 0x050865e8, 0x2dfea458, 0xc45d0ee2, 0x4b7fe4ba, 0xcb55b44d, 0xb54d96b3, 0xcb373988,
+    0x74a07f11, 0x1f69dd41, 0x184b0446, 0x1124800a, 0xf786d284, 0xbfc6d215, 0xe456b31a, 0x658baef2,
+    0x27811827, 0x72aae9bd, 0x3bd5e99d, 0x52e13d6f, 0x56f2e12f, 0x6698a077, 0x1667d489, 0xa025a287,
+    0x9e659486, 0x3fbe4198, 0xa425cec4, 0x10e9be23, 0xe2cb5b28, 0x6f6f0306, 0xfb6e6e62, 0x4edf983c,
+    0x075faaf0, 0xbb95c185, 0x30149296, 0x718b5545, 0x2d67a171, 0xc7ddbd48, 0xb8dd031d, 0x3b0803d9,
+    0x7170ade5, 0x128b3528, 0x3a0294c1, 0x7e935083, 0x56385c27, 0x53a9a199, 0x7d4f2bb1, 0x5dfbfa27,
+    0x98943a79, 0xe5c7ed75, 0xf9c23acd, 0x9c782253, 0xcbb47b58, 0x2ea93302, 0x390731ba, 0x4350d74a,
+    0xb0d6fc2b, 0x368bdda9, 0x32406779, 0x0dc4c024, 0xec4d6115, 0x28af0532, 0x7d9a44b4, 0xa52cab22,
+    0x8775f2e8, 0xa81d9fa7, 0xe1377f93, 0xc603921a, 0xdb235f95, 0xaaa64e99, 0x20b7de08, 0x4763d7ba,
+    0x4243241c, 0x98283317, 0x4a4f67bf, 0x022dddcc, 0x363e8951, 0x02a14519, 0xe790f0dc, 0x1e2b9bfb,
+    0x40315d25, 0x5e7bdd6f, 0xe6b80708, 0x6d65157c, 0x46baf0f4, 0xefedd6be, 0xf8013977, 0x42535ce8,
+    0x502a0ed1, 0xb8a91587, 0x4f97ea4c, 0xca99a6a3, 0xf0ffa1da, 0x7cd339f4, 0x718271e8, 0x572bb093,
+    0x5760f38c, 0x6ceda2e8, 0x67ba219b, 0xd708ed49, 0x18f4cd04, 0x831232b8, 0x96d19e60, 0x7af76269,
+    0x79362957, 0xfdf168d4, 0xbd5f3a98, 0x2f9044f3, 0x3abf9295, 0x0bc9f5c9, 0xb4493b55, 0xd9ce3bc5,
+    0xd6828894, 0x52fc40fd, 0xa3552a85, 0x724117de, 0xf1af4fdd, 0x7d22ce92, 0x78356ec8, 0x8c785e29,
+    0xc6c94326, 0xeaeba00f, 0x04765ca2, 0xb8d78608, 0xc696dad0, 0x59840094, 0x8239fc34, 0xeb84803a,
+    0x28844255, 0xe9d1e7ea, 0x033054bf, 0xb5c034ed, 0xd203247f, 0xa744e9ec, 0x6824dd74, 0x031b0e1e,
+    0xc4b7cc25, 0xf3eb2128, 0x4f3c5583, 0x8bfb068e, 0x29194213, 0x008b0646, 0x5c9766b5, 0x3280d460,
+    0xd35f119b, 0x65228307, 0x1ed56d36, 0x950b9cd9, 0xbd0d80bd, 0xe61a152a, 0x4fa06397, 0x3bda78d2,
+    0x8cc6a7ca, 0xf31fe35b, 0x95de0b42, 0xce151fa7, 0x7ee336cb, 0xf8899f7c, 0xc55ce873, 0xd9c19dd7,
+    0x48c58b68, 0x0986dc0c, 0x3dbdeb17, 0xb42894f5, 0x297c3a97, 0x90e3c0fc, 0xc1ac9453, 0xba3018be,
+    0xcae539cf, 0x0d571ee1, 0x96f0f21e, 0x22e233d9, 0xa43604d2, 0x364ab7f8, 0xa736dea1, 0xeaa61f6d,
+    0x714d93eb, 0xcea49ced, 0x06853847, 0x2ec73d30, 0xacc56eab, 0x653f7eb3, 0x97352d2b, 0xcf992cdd,
+    0x6d97b97f, 0xe10724d1, 0xd59fd2be, 0x547774b7, 0xd1d59516, 0x1336182b, 0xcdc67fcb, 0x6b2733bc,
+    0x35f22703, 0x8d5212a0, 0xb7553194, 0xb02dc73c, 0x44001bd2, 0x16f952cd, 0x4e790765, 0x926c4e04,
+    0xe23f10a2, 0x2b491063, 0xcb2bca3a, 0x0de84836, 0x06722818, 0x7d42826a, 0x9e39fd8f, 0x895b3a60,
+    0xb549c53a, 0xd5b06888, 0xbb92fd56, 0xa86934ff, 0x99b525bd, 0x7c4937b0, 0xafca1c0d, 0x69d4abe2,
+    0x553f0918, 0x7395a5ad, 0x3ab20fed, 0xc3f71767, 0x07955a49, 0xd872430e, 0x978db481, 0x58ed0a91,
+    0x82719317, 0xd82c2642, 0x4a8a6f97, 0x7d1f0aae, 0x51ad9d86, 0x590efcf8, 0x32ea3a04, 0xb9b74192,
+    0x9d7daafa, 0x6e929b66, 0x35bfc3e5, 0xac941f02, 0x87bb0c23, 0xcb897c07, 0xc96ed6cd, 0xfd3e2193,
+    0xb6f1f363, 0xe64e6f44, 0x199ea237, 0xde3203df, 0x87cb151c, 0x13b46feb, 0x64bf04bf, 0x3852d804,
+    0x424ad08b, 0xc26297c6, 0x14c8f0ab, 0x0847d49d, 0x4e91479e, 0x53c8aa3c, 0x5569e159, 0x4c9e17a8,
+    0xc74ca827, 0x19e95d99, 0x5c853f76, 0x4484b992, 0x472bd060, 0x7f297778, 0xf09e5135, 0xd79849f9,
+    0xf3ff32aa, 0x20eed349, 0x60720356, 0x6a029fda, 0xf2bfee93, 0xead53542, 0xf5dab7ca, 0xc92d8c00,
+    0x00000000,
+    0xa562dc91, 0x54039098, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000205688069665150755269371147819668813122841983204197482918576128 */
+  { 0x00000000,
+    0x69420e3a, 0xe676b6f8, 0xa7868a00, 0x856201b5, 0x50b1db01, 0x029e6ac8, 0x665066bb, 0xe13ed478,
+    0xb37e34bc, 0x9c9c5aba, 0xcf557c04, 0x91e16a23, 0xd8aad564, 0x486d5f39, 0xea42396c, 0x8abe913b,
+    0x434deabc, 0x0a999762, 0xc66b1132, 0x60845faf, 0x3fd3a43a, 0xe4aaaa42, 0xa2a1cab7, 0x2877c9d9,
+    0x13418a88, 0x9eb92b1d, 0xae6bde49, 0xd23af14d, 0x46d2fde8, 0xb7068ee1, 0xb0eeff96, 0x24f98c25,
+    0xd0ba9a85, 0x95e2c2f5, 0x81a6515d, 0xe8abff11, 0x0a62905f, 0x36c6f18e, 0xba89d0c3, 0xf7e335f3,
+    0xa1d8a22e, 0xca0621df, 0xc7b304eb, 0xb54df32a, 0xcc958120, 0x27237f41, 0x3bea7171, 0x071264e5,
+    0xa7ecdc0d, 0x72c981bd, 0xd89bdad5, 0x0d8856d5, 0x6a292f67, 0xcc77378d, 0x5e0db792, 0xfaf42586,
+    0x3356ff54, 0x69bf0740, 0x79c85ee7, 0xe9d3a20a, 0x5b3e38cf, 0xba098f1d, 0x4bd2e40b, 0x02b6489b,
+    0x723ac1d7, 0x0698faf8, 0xb16a24a0, 0x0b426096, 0xe8a1b8cf, 0x2bc18caa, 0x3bb12f8a, 0x67ceb79c,
+    0x640d9fe4, 0xe7b48419, 0x98616838, 0x8eb9273a, 0x9697c8a9, 0xe2a4bb59, 0xf9b6a408, 0x3354aa4c,
+    0xf5f460f8, 0x08f26492, 0x02825334, 0x5a44bf6a, 0xd0c9ec86, 0xfd151c9d, 0xc50cfc15, 0xa5534e1e,
+    0x68fea05e, 0x8a44039f, 0x91673f47, 0xcc6756c4, 0x9f15d8ab, 0x0b3f4117, 0x1ee15dcb, 0xec8623dd,
+    0xb426394b, 0x55a9b859, 0xe1f009d0, 0x9b2eecc1, 0xfae9db26, 0x1900f62d, 0x29ce4d03, 0x890e3d45,
+    0xc253547f, 0xf063b873, 0xc7d585dc, 0x0dc97947, 0x91b2025c, 0xc3da4ee1, 0x0916fd66, 0xcd2ffd33,
+    0xae8ead13, 0x0ebc198f, 0x298d81de, 0x58953776, 0x3da8e504, 0x4755644b, 0x5f2c1f7c, 0xb8672bf1,
+    0xc4ecd249, 0xf06a754b, 0xf6afd202, 0x670639e8, 0xfb9c6514, 0xe135038e, 0xa06cb945, 0x6ed20655,
+    0xd8ba9a8a, 0x65354fe0, 0xadde8c17, 0xde2e66e9, 0xb7e3bd2c, 0x359e4899, 0x979f78ad, 0x13b3ec65,
+    0x21f1ee8c, 0xa220f949, 0xf06192e7, 0x9b999c94, 0xcd6aad6e, 0xe5230d81, 0xbde3a5b7, 0x1a502311,
+    0xa3e46548, 0x3a7948cd, 0x45dba8a0, 0xf525f417, 0x85beab31, 0x209a6b77, 0xf4def19e, 0x9d503894,
+    0x032ecc84, 0x1e1f3889, 0xea7c7ead, 0xa82135dd, 0x05a12a57, 0x6505f539, 0x921e750a, 0x6967431a,
+    0x5f715cb2, 0x1f93203e, 0x2c2dc95a, 0x7087e894, 0x119ed3a5, 0x31c4a213, 0xde1251ba, 0x53212659,
+    0xf18dd284, 0x21f4ea28, 0xa91803ef, 0x9eba17ca, 0xe23fbca2, 0xf8b39177, 0x6cf50c9e, 0xe50b028f,
+    0xcce64e7d, 0x05a1e1b6, 0x7437f342, 0xfbeb7690, 0xbf53b1b7, 0x69324473, 0xd55e7684, 0x417f9a1f,
+    0x19621ba0, 0xcfe52752, 0x821c068b, 0xfde6cd01, 0x9a33783d, 0xb6a5458b, 0x9fd50570, 0xfa3c2892,
+    0x302549e2, 0x41f0e3f8, 0x7bae2afa, 0x2c12eaaf, 0x921021ac, 0xcdce7b5b, 0xbce9b2b8, 0x6caa6fc0,
+    0xe441bb40, 0x35d7fdf7, 0x814c12c8, 0x4b25d9a6, 0xb7a00ab5, 0x9217dd78, 0x2b504281, 0x7e22d80a,
+    0x501b864a, 0xdd8aa0ec, 0xc0b6e5af, 0x1380388f, 0x568b17b9, 0x48f6d951, 0xf6fbbb8c, 0x74abe049,
+    0xaa71cd8e, 0x72f2c1d9, 0x7eeab8a0, 0x04d646ed, 0x32440e5f, 0x7a45a3ea, 0x42f08fc4, 0xa2c1088b,
+    0x43d1066e, 0x252eabe3, 0xafbc5fbb, 0xae116a2f, 0xd03cf1d4, 0x9e332c24, 0x6ec0ab33, 0x5fdefcbd,
+    0x710ed4cd, 0x722d1386, 0xa5ee60f1, 0x3905d46f, 0x3d6c5983, 0xd70c59f3, 0x0d704467, 0x3eb9bba6,
+    0xbaca1d2a, 0x54d23775, 0x6f585129, 0x1a957a29, 0x71456435, 0x7495bfa0, 0xce356328, 0x17a16a47,
+    0x3f2b4ba5, 0x2f7f0e32, 0x0b0df1e1, 0xf74b1e95, 0xf3c7d1b6, 0xa878b2fa, 0xc30c0f36, 0x8f4ccae1,
+    0x24c37a5a, 0x3fe865d5, 0x348011bf, 0x53759bd8, 0xd969405c, 0x49f2b6a7, 0x16061453, 0xf256ac4c,
+    0x7cf38607, 0x546d7eda, 0xb078b15b, 0xc0339b19, 0x8e12fe74, 0xf4b4200d, 0x3d915d5a, 0xc04c58f0,
+    0x3535ebd1, 0x37958460, 0xbb8a8f11, 0x33c299f7, 0x86db834f, 0x3ebca5ce, 0xe8db544f, 0x5631a68e,
+    0x5ab2d98f, 0xe44898ee, 0xaae8b815, 0xa0b52ef4, 0x4a3a2bea, 0x0a7863e6, 0xbedf44cb, 0x66529287,
+    0xff94cf1d, 0x8841b7af, 0xa0103922, 0x70902f43, 0x8ae86d77, 0x214ed802, 0x714600ac, 0xacdbada5,
+    0x2332c479, 0xaf2e5f12, 0x9918e338, 0x4119f500, 0xe24cf7f5, 0x81b5602d, 0x485a14e9, 0xa34dcd58,
+    0x75c78d24, 0x6efe7720, 0xe46c623f, 0x84f7d6ae, 0x9798a8a2, 0x7edd3083, 0xc07f087f, 0x16d99022,
+    0xd7cbc466, 0x83196137, 0x0abe6c16, 0x0763d4d9, 0xed1695d2, 0xcec63ffd, 0x02e2d23a, 0x93845772,
+    0xf352f846, 0x06f2c590, 0xc449fff9, 0xf265b89b, 0xe8874766, 0xc3b5be56, 0xae06433f, 0xed742d2f,
+    0xa6ffbefc, 0x161344ad, 0x0952c8d3, 0x767e114c, 0x4f8e786e, 0xe5bc1c4a, 0x481ac3c7, 0xd3d746bd,
+    0xe824a2b8, 0x076bd526, 0x8fcabe01, 0x08a78b3c, 0xc7db97d1, 0xd78aa5dc, 0x428985ab, 0x65e4375e,
+    0x007189e8, 0x99ddf68d, 0x6c171d13, 0x4806acee, 0xbfa81881, 0x9186e694, 0x6e24dd4e, 0xee91bebe,
+    0xa13cb615, 0x36804e26, 0x61038e1e, 0x2c9ab608, 0x570d3a82, 0x0554044b, 0xfbc20027, 0x37da4295,
+    0xfef88871, 0x03362f0a, 0x808cb548, 0xdeb91613, 0x3e59f7b8, 0x43a3e8ed, 0xcef1f2ee, 0x547878d6,
+    0x5061ee9d, 0x0da2f6e1, 0x1c41ae79, 0x33647e07, 0xcdb70074, 0xef6bc318, 0xca0471df, 0xf2230481,
+    0x2eac22a1, 0xc5eaac23, 0x63de933f, 0x36ee1f2d, 0xca9fd488, 0xa8b00310, 0xb412f443, 0xf2e81642,
+    0x5a3d1a70, 0x344e6064, 0x349cbb1b, 0x1b027adb, 0x9080f322, 0xbc9856b8, 0x3247c4f4, 0xbbdea749,
+    0x4670a539, 0xd8ee826e, 0x220a2842, 0x97919cf4, 0x9170f71d, 0xa35db50a, 0xec1dd5af, 0x9f53fe6c,
+    0xc3814670, 0x0dda513b, 0x4af9f822, 0xa317106d, 0x84556105, 0x3b2c563d, 0xb5199438, 0x8ed97434,
+    0x57d75e3f, 0x2f67378c, 0x59c5edbf, 0x66e3cf94, 0xf542795a, 0x0cfe1e32, 0xb38f5268, 0x7b7688ed,
+    0x4da524bf, 0xa64745ef, 0xa787693f, 0x5613db34, 0x8f1ea224, 0xa15acebe, 0x35f18c46, 0x67f2e0db,
+    0x44bd6268, 0xb570405a, 0xeeb92217, 0xec4e6054, 0x5f1db96e, 0x0280208c, 0x0ebbed51, 0x9932a5c7,
+    0x3b70044f, 0x4be1ec55, 0x77cab5b9, 0x59844092, 0x5cef7edb, 0x48324029, 0x0bcf3b55, 0x5f251fad,
+    0x2f7bea5e, 0xd7dcdaca, 0x4f956a03, 0x679903b4, 0xb9a43990, 0x2b2dcc3f, 0xbb83e3c1, 0xe19d0767,
+    0xd4d9c973, 0x8f13382d, 0x02b26565, 0xfd8b8c3d, 0x04c95663, 0x6a7cfe06, 0xee77c01c, 0xc57a65ad,
+    0x06ee809d, 0x30788562, 0x246f4a26, 0x41d735b1, 0xf9b73f86, 0x23b2c9e2, 0x5436b939, 0x6e3eec72,
+    0x1619f6d5, 0x6e58ed84, 0xbd54eaa7, 0x2d81199e, 0x593004f1, 0x26f460a2, 0x315e94db, 0x812b9d0e,
+    0x3b101a80, 0x3d6f6c40, 0xd128203d, 0xdb4376e0, 0x5e69d12e, 0x4bd4c0f8, 0x99b051f3, 0x30a0f6d4,
+    0xc90661f6, 0x2df273ac, 0xf5f95c01, 0x938ca683, 0xba981199, 0xa4760c00, 0xf3904eee, 0x31db44c2,
+    0x64aacc14, 0x38a30fe0, 0xa4b36717, 0x7193bff1, 0x59696f68, 0x9f6357ad, 0xa0e0a25c, 0xc5f1c0d4,
+    0x91797606, 0x6fdb6f5f, 0xe6259593, 0xf6f4ba4e, 0x140e1b78, 0x7b764095, 0xf3b93d83, 0xa3e82e94,
+    0x727d2810, 0x31bfa486, 0x5a878bce, 0x291fc8d4, 0x415767be, 0xd673375f, 0xe08d5f1a, 0x09c4e2e7,
+    0x0dc90168, 0xc4e20e4b, 0x29356701, 0xb38ff184, 0xd2e70c38, 0x458bd46a, 0xc44ab258, 0x06fb16a6,
+    0x9585452a, 0xc549fc3f, 0xf8d7148a, 0x5198b912, 0x95e8429b, 0xe115da59, 0xeeb59b01, 0x908a65e5,
+    0xcd877abb, 0xd32e6091, 0x078708aa, 0x04f171ae, 0x56e1c057, 0x082651ec, 0x7aeb9c7c, 0x308a7a19,
+    0x13cdfb9e, 0xdd72e0d5, 0x73c6abd7, 0x5b49a728, 0xe135d14b, 0x07b5111f, 0x29b8efd3, 0xdab6a8c2,
+    0xcf6d61c0, 0xf97ee12b, 0x29d02ff0, 0x6910742c, 0x441a283e, 0x9d27cb3e, 0x89a190e6, 0xd96d6a11,
+    0x6c99ae60, 0x0c51f5a8, 0x48619148, 0x66693b60, 0x82c06c46, 0x925affb2, 0x21cf8818, 0xecaca419,
+    0xee5fec73, 0xa2f1838c, 0x0362a76e, 0x1f7ef9e8, 0x7517a893, 0x80e925a3, 0x6e40bbc7, 0xbc9a85d8,
+    0xc6cbfeed, 0x06d36f0b, 0xd62eba07, 0x39883a11, 0x81f04429, 0x18d6b363, 0xbdbb76ea, 0x0cf8259a,
+    0x253c8e81, 0x9e84bd75, 0x8e0fbf00, 0xe498988a, 0xb9abcadd, 0xbab82493, 0xf632e60e, 0xe91bcb1c,
+    0x0d7ab1c5, 0x889f2f6a, 0x6c15209b, 0x92d15536, 0x0fe5773f, 0x3d044563, 0x4cb6a727, 0x3933b2da,
+    0x0ca04679, 0x2bb9d68c, 0x10576c9c, 0x71420127, 0xbcafcc0d, 0x17696c7d, 0x44d6ffe4, 0x418e47a9,
+    0x61be73ef, 0x9d6bc893, 0xdd8a6a0b, 0x41dba528, 0x9bf53803, 0xd01dbebb, 0x13a5f498, 0xe324f461,
+    0x57975b18, 0xdb7881d1, 0x3ac460bd, 0x32c52f94, 0xf40a3fb4, 0xc629c47c, 0x741e1ca5, 0xca8aab8b,
+    0xade4b311, 0xef63b724, 0x0aee34d3, 0x71023070, 0x9a355117, 0xba58cdc5, 0x4adf314f, 0x8abb0d22,
+    0xef87327f, 0xcb5a75f4, 0x88d09fdc, 0x8e5b9b98, 0x6c2fcf37, 0xa65170e8, 0x78717850, 0x728ae6eb,
+    0x8c280724, 0xf03419fa, 0x498bf826, 0xd90109e1, 0x72697a08, 0x86e3d80b, 0x8872cac4, 0xcecd0f14,
+    0xe2f58651, 0x47a56b23, 0x0d26e345, 0x769b3479, 0x43a6f898, 0x8c67127c, 0x04dbf435, 0x1a43da68,
+    0x6d5cce73, 0x0a7c96ba, 0x6807c3ce, 0x6a461600, 0x2b163d71, 0x3ab0ebbf, 0x7fb6cad8, 0x61cd2ed8,
+    0x8edaab80, 0x40119b35, 0x45fe0242, 0x8ebda871, 0x9ef86c6e, 0xfe4c56c4, 0xcb8c6f40, 0xab405a45,
+    0x2e59963e, 0x418f625d, 0xa183e810, 0x2969e8a0, 0xa65882e4, 0x1bf5c337, 0x7022b383, 0x29d51b09,
+    0x4bac4e8a, 0x324d7e95, 0x68a8062c, 0x4745d940, 0x8ddadbb8, 0x78bc5d84, 0xc27c1816, 0x07830815,
+    0xd8625479, 0x8fe86a29, 0xf696e379, 0x5ce19f63, 0x5b90cebd, 0x04b8c921, 0x761dbcf7, 0xe2102082,
+    0x5ec8f984, 0xacf39f5f, 0xfe948b92, 0x4dd80d37, 0x73b2162b, 0xfe28e7d4, 0xb69a3f67, 0xcd4b3768,
+    0xb85334ea, 0x7fcc9cd2, 0xa1833dee, 0xe9ec06f7, 0xcbcd89c3, 0xaea48f1b, 0x0075d58c, 0x3fdb24fb,
+    0xf70cbd22, 0xcad12df0, 0x6512f771, 0x375bd008, 0x43ebc280, 0xea11d032, 0xf05a7f3d, 0x47ecb5b9,
+    0xe46677cf, 0x134af883, 0xab080a9f, 0xfa103f62, 0x27c5fdfb, 0xb7806b8c, 0xaf7a8059, 0x642ca39f,
+    0xaf7d078f, 0x9ce29d70, 0x3f9bfa0b, 0x5cadf16a, 0x914ff4a7, 0x9206d00f, 0xd30cb5c9, 0x5be57cbf,
+    0xebef11fd, 0xab8a8434, 0x4c7d6fcd, 0x324a1fae, 0x48bcbbf7, 0x72a58e44, 0x676839b0, 0x9c377e77,
+    0x7419ed84, 0x00aa7bf3, 0x71c0f25f, 0x900e1510, 0xf04114e2, 0xfaef92c2, 0x68b0cd6a, 0x5d1b383f,
+    0x1e330b62, 0x72be66f5, 0x83c6069d, 0x2fed89eb, 0xd80a642e, 0x9539570c, 0xbf9b5ddc, 0x6c83e87e,
+    0x66ac2c4f, 0xa7e3b012, 0x28837bf5, 0xde7dca7e, 0x3438812d, 0xc20fb247, 0x923083d9, 0x67f44607,
+    0x2aa9ee88, 0xd2ef97a9, 0x8379bc62, 0xb721ac2f, 0x0b007e69, 0x30871685, 0xe1066095, 0x6b298321,
+    0x257b469f, 0x314837bd, 0xf58040c1, 0x5341c631, 0xf83d915a, 0x6ea1954f, 0x9f98e6d7, 0x456209c0,
+    0x972e2619, 0x6994000c, 0xed0386b9, 0x9cd8d42e, 0x962f115d, 0x7557843f, 0x81abe282, 0xb924b3d0,
+    0x82b4cade, 0x353236d6, 0x26da6cd9, 0x4b6a07a1, 0x050b6673, 0xfcb07551, 0x26465a40, 0x845051cd,
+    0x12b41e27, 0x0381ad8b, 0x631346cc, 0x10b5ccf5, 0x2f50e940, 0x285a00ff, 0xb8b84670, 0x411aad12,
+    0x20a4648c, 0x776c3af1, 0x7cce182f, 0xb7304e49, 0x803775b7, 0x1fa74871, 0x97f9b651, 0x10c3cfed,
+    0x9d8fe596, 0xd583117c, 0x8921ee91, 0xb90c55eb, 0xd2f744d9, 0x1c42413b, 0xec4639d9, 0x6fb9b56d,
+    0xe5a4c7df, 0x2c465087, 0xf080dec8, 0x54d39aed, 0xa10d9020, 0x56bf7b3d, 0x38d617fa, 0x02839d9b,
+    0x16b31745, 0xf7406d44, 0xfd013409, 0x7d10021f, 0xa9cdad50, 0x73f92c7a, 0xe9693489, 0x549e3da7,
+    0x607aae0b, 0xe2c6a9cf, 0x49a8b1ef, 0xc250b7a7, 0x528838bf, 0xd02f8939, 0x0288c3a9, 0x5563caf6,
+    0x6013e3cf, 0x6bf940f4, 0xfbd7b3d2, 0x466343b5, 0x425368b3, 0x575a607e, 0x74456cf5, 0xba5380af,
+    0xb92dbfc6, 0xdb825aea, 0xed9841b2, 0x2443a362, 0xeec8632f, 0x3def0172, 0x22061c98, 0xb9d12953,
+    0x1dbf916a, 0x34d41462, 0x6073ae78, 0x65096fd3, 0xfe219e84, 0x64d89879, 0xd5f2eba8, 0x8d763be6,
+    0x93fb4d7b, 0x1c566d78, 0x7868961f, 0x85385413, 0x488b91be, 0x7393fbe0, 0x59dac370, 0x1fb15171,
+    0x911d1942, 0x728f6240, 0xf98ac5ba, 0x19eb1b44, 0x3e75cf01, 0xc6c5e48d, 0x58186a6b, 0x0d1cdc32,
+    0xc5d26454, 0x56b34152, 0x9c4d0c32, 0x6845daaf, 0xab526871, 0x33bc5d91, 0x6370d834, 0x5c767539,
+    0x2487afaa, 0x0ad2190e, 0x40cccac0, 0xeda90d1b, 0x4a966c54, 0xb0c4ee51, 0xc2e43b35, 0x67928de7,
+    0x2e14b345, 0x525e526f, 0xe214ae79, 0x8c76e3e3, 0x236c46ec, 0x86fbfddc, 0x0911ea9e, 0x3bf91031,
+    0x56295473, 0x2caffd99, 0xdb6504e8, 0x105c7802, 0x035d3971, 0x994d9719, 0x43e4d861, 0x571440bd,
+    0x71ac232b, 0xc83fed9d, 0xbe4fc51a, 0x3729b76c, 0x62f8ccc1, 0x07ca3fea, 0x6d25dbb2, 0x981f92f8,
+    0xf52a2d33, 0x06ff0df2, 0x719c1bca, 0x7bad7e8f, 0xaa631d3d, 0xff816cfd, 0xa5724f71, 0xd2f3b561,
+    0x4e7fc9e0, 0x63e8d175, 0xc7adae33, 0x48d41dc6, 0xceadfd94, 0x152e43f8, 0xc0fbbc7a, 0xb69053d0,
+    0xadd80831, 0x86a89484, 0x7de3fad7, 0xf738a3e2, 0x32bd876d, 0xe871c12b, 0xed659e4b, 0x5b900ba0,
+    0x72ca2618, 0xeac9e9b4, 0xbaa2e432, 0xd574a588, 0x8069b1bb, 0x98752ecf, 0x04450bc9, 0x44f85f5f,
+    0xcf549f64, 0xa3230640, 0x7fcbc7f8, 0x83e21148, 0x42eb9b9f, 0x671f0fb5, 0xc7b088ad, 0x33d26999,
+    0x8f6077b3, 0xf09b5a90, 0xb2fd31ac, 0x40f0ec32, 0x608d63c1, 0x247a7329, 0x8ba62fcd, 0xca085f39,
+    0x489c0814, 0x57340536, 0xfbed8a3a, 0x6fe68e4d, 0x48432459, 0xdf23ca25, 0x680adbfd, 0xe390a5d3,
+    0x2c8f4c90, 0x1d2cd547, 0xa00bcd77, 0x278a187a, 0xac7133f6, 0x8f1734a3, 0x6726ab73, 0xeef9b1c5,
+    0x8e3f0772, 0x62467b74, 0xc00b914f, 0x275af653, 0x8eac8e9f, 0x33e2ad5c, 0xe4092878, 0x098e6e63,
+    0x5f672810, 0x7e3f3af5, 0xc5a3c6a1, 0xe9eaee5e, 0xc810e1d6, 0x97cad87c, 0xd0506921, 0xa4019385,
+    0x48541c0c, 0x812aba8c, 0x0b277be5, 0x53b5ecee, 0xaa475fc6, 0xb1b49ca6, 0xd36b875c, 0xa0787111,
+    0x00000000,
+    0x52b16e48, 0xaa01c84c, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000102844034832575377634685573909834406561420991602098741459288064 */
+  { 0x00000000,
+    0x5802a0b7, 0x071871c6, 0x4d6c6b3a, 0x5beba3a0, 0x278ea6a1, 0x3ed341a5, 0x7eccbc1c, 0x18f10662,
+    0xdafc8bee, 0x401d33be, 0x7ff0152f, 0xb32effb4, 0xa8e46193, 0x6f820948, 0xcabfbc88, 0x3d7b141f,
+    0x29a0fda7, 0xbafe0e99, 0x01bdb513, 0xf4ae3024, 0xc88e49db, 0x06dc3622, 0xf8455638, 0xfd9cf01b,
+    0x22ae8b58, 0x01a110ac, 0xf7bce241, 0xb877b27a, 0xdac4def2, 0x00948467, 0x7dea00af, 0x90a969f9,
+    0x01f187cc, 0xa33e7b02, 0xcb3054f2, 0xe23fdf75, 0x99e0f5a4, 0x70268f91, 0xc962a32e, 0xb07c0506,
+    0x7442b6a6, 0xa2994f5d, 0xb2d01595, 0x093c794e, 0x18ed3011, 0x43d3aa2f, 0x04d89881, 0x1d1e1886,
+    0x44f530fb, 0x040743f0, 0xf95df3c4, 0x7dab5ca2, 0xe6e2ce7e, 0xa6636738, 0x70498625, 0x3c667d48,
+    0x7e895269, 0xd1e7071c, 0x1c0e2f98, 0x36353961, 0x7f468a1f, 0xdf664db9, 0xe4005447, 0xbe2b0e12,
+    0x651d1a18, 0x0038b851, 0xaab3161d, 0xab0e764f, 0xc7534719, 0xeb440bcd, 0x4d124c0e, 0x37edbf31,
+    0x8bb3f45a, 0x105e67fa, 0xc51c71e0, 0xa7a99eef, 0x8f19c451, 0x22b88545, 0x79537366, 0x136f25f6,
+    0xd9210576, 0x3c426671, 0x57da20f7, 0x2c3b8d58, 0xc7e4626e, 0xb97bda94, 0xecbe0e9d, 0x4fe4a7a6,
+    0x446a3837, 0x8162d17a, 0xc12c58c3, 0xf89b9839, 0xa7516f00, 0xe92d0d71, 0xd0b0b21f, 0x8df1cbbf,
+    0x6fab4c7c, 0xc6b1cd3e, 0xca5fcff5, 0x7ba20e6f, 0x3ae96506, 0x087e308e, 0x770a35f9, 0x9ccc4970,
+    0x146c5268, 0x07baa255, 0xda46c2ec, 0x2b980849, 0xe9af017a, 0xde16e018, 0xf76f8ffe, 0xa541dc83,
+    0xd50edf75, 0x1a2b28ac, 0xd2d6aa59, 0xc8698e7a, 0x2b9a5d90, 0x61136996, 0x7121f6fd, 0xb9fd0102,
+    0x74931f7c, 0x7c24c3ee, 0x4fb12377, 0xae0b6f52, 0x78cdf9f0, 0x54ad29c3, 0x3da81eb6, 0x0b90baca,
+    0x86815df1, 0x114f068a, 0xe142c84b, 0x90aeb82f, 0x5df18092, 0xaf11583d, 0x18e4543e, 0xd4352097,
+    0xff64640e, 0x74c72155, 0x0c0bafea, 0xfb2e5751, 0x24a944b7, 0xded67a73, 0xefcbbf04, 0x00288164,
+    0xbd60f6d8, 0x3e4046ca, 0xc76d7f2a, 0x51642699, 0x2cb9255a, 0xfaf9840e, 0x34b4b47d, 0x8038bb82,
+    0x2b6c0797, 0x5bcb5714, 0x8645cf38, 0x2bed8a61, 0xc923299c, 0x5218c796, 0xb2a58958, 0x0ee05405,
+    0xcfa56104, 0xfc26f882, 0x1c7b0299, 0xfefa3708, 0x6a45df9b, 0x4cbfcf78, 0xfe5a3deb, 0x88a2e1cf,
+    0x67e2c001, 0xb0f83c78, 0xfba420d3, 0x9da3b0da, 0x155a9088, 0x4a5da872, 0xea3e0093, 0x25dd9a54,
+    0x3e7bb102, 0x948c8e19, 0xed9ae2bf, 0xfb7d93d0, 0xae2e8a82, 0x0288b280, 0x99d250b9, 0x6d24c35d,
+    0x617cecc6, 0x021b5a6a, 0x0bbdbbbd, 0x5bf2e68d, 0x8842dda9, 0x48b7ffeb, 0xe4a9c1dd, 0x4ab7f893,
+    0x49b356c0, 0xfed249d7, 0x07025ea4, 0x09d1e2ad, 0xe9416778, 0x55f25cc4, 0x8ce429fd, 0xa1556fcc,
+    0xaffe111f, 0x5d98d14e, 0x84de82b9, 0x93da825f, 0xe9125524, 0x13c36ed2, 0x02c4cb8f, 0x0d9f76ee,
+    0x9da11d40, 0x086971aa, 0x4ba1a5da, 0x97c6de25, 0xe4d036ff, 0xe9e0abd0, 0x4c1193a5, 0x4d270505,
+    0x5e07fbc8, 0x8c7c52f2, 0x01f7199f, 0x386370e7, 0x9f26241e, 0xbb6523f0, 0x9f53a9b5, 0x94ea81ae,
+    0xd3593c58, 0x9fd15da6, 0xecfc7daf, 0x24e891f3, 0x84b65a68, 0x861a5a0c, 0xea92dfbd, 0x812b753f,
+    0xd7780576, 0xea55061f, 0x376e2c57, 0x52fd3434, 0xbc7fbc10, 0x6050e75d, 0xc70a8049, 0x431ce202,
+    0xd9d04276, 0xdde671d8, 0xea0b5f31, 0x76bb34c5, 0x070ccf2b, 0x3ac08352, 0x8ebfa168, 0xd8221030,
+    0x68abb889, 0x69254707, 0x1d296c1e, 0x7ae80131, 0xbf67bc42, 0x072057f2, 0x19693cdf, 0x5f7e9168,
+    0xad2b40b1, 0x9be7889d, 0x338f69df, 0x12fbf347, 0xc3ef7243, 0x51158460, 0x73420e26, 0x2e2c9901,
+    0xc6e81675, 0x8c27ab95, 0xbe62deef, 0xad831ba5, 0xbeaff87a, 0xce9a3bc1, 0xf423f1bd, 0xb5b4fdbd,
+    0x5e55ff2a, 0x7a01ab10, 0xcdcabc55, 0xc10e9cae, 0x12cf6c74, 0x16abd980, 0x591083b5, 0x0fe38564,
+    0xd51199ca, 0x3f2c99cd, 0x25deaa01, 0x0863bf0e, 0x72af8cc4, 0xad82663d, 0xe132b8da, 0x740ba485,
+    0xc7032742, 0x43c3848a, 0x40fcc9bc, 0xd6a8c843, 0x0eeb108c, 0xb8cc50d1, 0x0f08d72c, 0x01b92ce3,
+    0xd3bac98a, 0xf487a9cb, 0xdd4d2c33, 0xb0523975, 0x110a7777, 0xe5a0635a, 0xb929d3d7, 0x6e056039,
+    0xd4bde7de, 0x3664bfc0, 0xa2312bc4, 0x1281259b, 0x48d8e367, 0x2b3bacb8, 0xe129b416, 0x2f40371e,
+    0x38c33818, 0x1119bed3, 0xf01e0af8, 0x7dc1bd6a, 0x8d5c9998, 0xe5c84677, 0xf5934418, 0xa54dd685,
+    0x98bd3203, 0xccbfd345, 0x2127ae76, 0x15200738, 0xc69346ea, 0x5452c4f6, 0xe95aeb8f, 0x08fc1bf6,
+    0x392e3865, 0x785e6421, 0x0cb346c8, 0x7dbcbd74, 0x06e18866, 0xbccd2da3, 0xdea90a5c, 0x204ea6c4,
+    0x732ee35d, 0x2f4c8d9f, 0xf9df55f7, 0x880c8c94, 0xc0ec1f17, 0x1eee437d, 0x3d32eabd, 0x261fd63b,
+    0xf6ba96b4, 0x3cd7566a, 0x635379d9, 0x9228b983, 0x700db896, 0x767995cf, 0x5ba72b9d, 0xeb3113a7,
+    0x6e2d1945, 0x1dffb2b4, 0x52d05327, 0x69cc22ab, 0xac8cc247, 0xca9a1352, 0x542d0863, 0x31688964,
+    0x8837377c, 0x1ed9fb6f, 0x10872569, 0xc9aad675, 0x02c2c530, 0xe618e09c, 0x26951522, 0x92f65c0a,
+    0x7fa1130f, 0x14ca5c26, 0x4a7810f8, 0x9580cc40, 0x87835152, 0xf064cd9b, 0xf8a1bfa6, 0x7a826c13,
+    0xcc77c660, 0xc0b2a422, 0x3ef1c5b5, 0x7c83efb5, 0x9b2088f6, 0x544219b1, 0xc3c2c177, 0xeaebd563,
+    0xc5ba1af5, 0x4da50bbc, 0xc5e33311, 0x9b4aaabb, 0xbb486b51, 0x851421b2, 0xc4487d1a, 0x86995cb0,
+    0xb068f6b0, 0xdcbfcdd3, 0x88682f26, 0xbb70d42d, 0x0346e50d, 0x4981d384, 0x02a0fd8f, 0x57a81778,
+    0x2b62395a, 0x59c8b6fb, 0xf7c1530b, 0xa6be8070, 0x0b736736, 0x817fb33a, 0xc1aba23d, 0x2b3cc8aa,
+    0xc430de2e, 0x700ff14c, 0x4cc4dbae, 0x24287139, 0xb1ef0efe, 0x451ff6e9, 0xffc167ef, 0xd42c2e61,
+    0xccd66e50, 0x675292a5, 0x1a20c915, 0xa8bd20dc, 0x7ff1fc84, 0xeeed10cf, 0x595dbc37, 0x2c7abd15,
+    0x71f996ad, 0x1fc0017e, 0xddc24e0a, 0x114fadc9, 0x08d2bccd, 0x6dae6fdd, 0x7a594a66, 0x4766600c,
+    0x16cd87f5, 0x2d514bd8, 0xdb8acce9, 0x4705ba22, 0xabe521a2, 0x2bc91e2d, 0x6a2ce56b, 0xaf538c8d,
+    0xa104143a, 0xc231a6ca, 0x412fc913, 0x004705d9, 0x9848d730, 0xc99ff5c7, 0x682fc246, 0x12a658b9,
+    0x86e98839, 0xdfccf6fb, 0x4d3df812, 0xf5781819, 0xf55f5ca9, 0x76d5a99d, 0x45f9be77, 0x2f9179e6,
+    0x49ec12de, 0xac307940, 0x1320521c, 0x17a45eb2, 0xdfa69772, 0xbbd39df0, 0xd7cd0e51, 0x001325b7,
+    0x103e95d7, 0xd1d26130, 0x653c7714, 0x097c0403, 0x0db57766, 0xdff2e5f7, 0x952942cf, 0x3ef6cacf,
+    0x784a1a05, 0x179bdd33, 0xe72b2c77, 0xb40467a2, 0x2458eff2, 0x2089ebe7, 0x69161c92, 0x7effccff,
+    0x78540951, 0x32f38120, 0xea466d04, 0x373e05a3, 0x8d94353f, 0x33488a25, 0x2f4be15a, 0xb16718dc,
+    0x71afdeff, 0x7e51047e, 0x126d374c, 0x1caf4b6e, 0x5cdda49a, 0xf2cf52ca, 0x61cfee0f, 0x274cea3e,
+    0x9f77e45b, 0x3b381b17, 0xc573e4c9, 0xa067f472, 0xc4ebfb64, 0xcd0cc819, 0x4447c661, 0x90d57e0e,
+    0x72487d01, 0x7eae3b54, 0xb358260c, 0x71413c16, 0x8935aa10, 0xab8abc3e, 0xc875a9d5, 0xf5286904,
+    0xb31b71cf, 0x7a659b23, 0x982a2a04, 0xccd8fcc1, 0x7cac5050, 0xda6e2bc1, 0xc9072af4, 0x82c68b64,
+    0x9ea94f04, 0x7e123abe, 0xceb442bf, 0xb62eb812, 0x2f5ab593, 0x5bd03a46, 0xe1f0e0c9, 0xb9302c2b,
+    0x1b9f713d, 0xbda85bdb, 0x52d166f6, 0x76dcae1f, 0x4ff22246, 0xae3b7165, 0x0f91fc6e, 0xb94c8644,
+    0x38b02b4c, 0xf092de5a, 0x6800d63f, 0x7c0f4d14, 0x2eb2f0e0, 0xa3d29349, 0x34b8ffaa, 0x2ea98e15,
+    0xdbc78ded, 0x259adf15, 0xcafca362, 0x7eab0b8a, 0x1230740c, 0x939bc906, 0x05065325, 0xb956ab16,
+    0x8cc19e9d, 0xfa27161a, 0xfd9a5d55, 0xf135d74e, 0xb3563259, 0x5c71d79f, 0x7565ddd1, 0x6440e32b,
+    0xbbe5b5d0, 0x668534ee, 0x228f9da8, 0x5041a6da, 0xb2002dff, 0x830634fd, 0x6cf1cd72, 0x0a6d182b,
+    0xd157fc9b, 0x70836b3d, 0x38d17041, 0xf76e5f85, 0x2b6a0bde, 0x4eb0a6b0, 0xc9be8a62, 0xbc814826,
+    0x574d1978, 0x0b06b2d0, 0xd3e84431, 0x56d7fa90, 0x34fbadcf, 0x859fda56, 0x0e652777, 0x74e9a76f,
+    0x406b130f, 0x2fef17c9, 0x7c72e5f4, 0x447f681b, 0x34c8c477, 0x508ce692, 0x6ca563c1, 0xc816ac60,
+    0xb45381dd, 0x70df23c8, 0x85a0ff66, 0xcbe4c9a7, 0xa3aaff0c, 0x9b644eb8, 0xf0a6653b, 0x13d11156,
+    0x90c38bc9, 0x20fc305d, 0x11f6dbc7, 0xe5c9d730, 0x06b01ed2, 0x66e85f09, 0x4a59fbae, 0x786cdd1e,
+    0xf3ae8c8e, 0x7452bf1d, 0x0d4750dc, 0x85ed2fb9, 0x447e3742, 0xa73d2d91, 0x646d4bd2, 0x9ecc1df7,
+    0x432dc942, 0x392b9823, 0xe6a27981, 0x27a702f4, 0x197f481d, 0xfbaad6aa, 0x85609338, 0x282226dc,
+    0xc417f4d6, 0x01858c97, 0x859265b8, 0x3a3ab4fe, 0xf48e85f7, 0x2321c053, 0xb778e7e8, 0x9204f68e,
+    0x7ecf0c22, 0xfc3ccd63, 0x171c5db1, 0x3e483ad5, 0x72cb0ef9, 0x2bbfb643, 0xaac64404, 0x11a50056,
+    0xe86b338f, 0x1dc34fa5, 0x51642888, 0x18839ae6, 0xac5aac6d, 0xc9975dfc, 0xb2634bfb, 0xe0a2bb48,
+    0xaaafe875, 0x061f1d8b, 0x83d50b52, 0x9b2e2f5f, 0x01429820, 0x404af479, 0xa6e46393, 0xbb3a23d4,
+    0x5ead214d, 0xc1c6b415, 0x36b86d12, 0x2a363922, 0x454aebf4, 0x695040f2, 0xdb498ff4, 0x464b6e80,
+    0x2cbd6a6e, 0xdc38c5fc, 0xb49c7a1b, 0x32a1e520, 0x62c51f02, 0x3a211441, 0xfbb736d3, 0xf48cc9aa,
+    0x8f6d3391, 0x434eaece, 0x4469bc5f, 0x6a1cf5c3, 0x9e77167f, 0x4160d7fb, 0xdaae9eee, 0x48c87d5e,
+    0xf0b9d4a0, 0x80ae0a75, 0x5b059ea1, 0x104c2601, 0x8a669ad9, 0x97da2d5b, 0x686bf931, 0xf7782043,
+    0x5b511e04, 0xc0cbd1a0, 0x95b02bfb, 0x6e1ff0a7, 0x45ce0a5e, 0x33cb3fc0, 0x23c1a1e5, 0xdd929ce5,
+    0xc482fac5, 0xfcec7c9f, 0x851c9f71, 0x0e3d0058, 0x46dba4db, 0x67556891, 0x76effe80, 0x86d0c42f,
+    0x0fbd0b45, 0x312696dd, 0x7cc6d254, 0x14385f19, 0xa6a1bb58, 0xee3ff467, 0xe5443638, 0x9d6af54d,
+    0x5ffd0b50, 0x34b9bd00, 0xf93320f5, 0x16838722, 0x55d2d3cc, 0xc928eafd, 0x613b60c0, 0xe78ff311,
+    0xf7ddc36a, 0x8097fc67, 0x9f39aeec, 0x653fc4ea, 0x2b27acb8, 0xad5b348e, 0xce7e9f48, 0xa24cebb0,
+    0xb28d1179, 0xfc9c4b6b, 0x97b12fe6, 0x160b7d87, 0x73c804d8, 0x3dd5c593, 0xb0d9bc3a, 0x174f0f92,
+    0x948c0247, 0xa339b3f3, 0x60383464, 0x8c732f6a, 0xf022a9fe, 0x3c952f61, 0x54a4dc65, 0x89bf93d5,
+    0xde0f7d6a, 0x025e7502, 0x425defac, 0x618027bb, 0x043e1b0b, 0xaef53b71, 0xcdc09376, 0x7cc22699,
+    0x4a0e24ac, 0x2a90f3a8, 0xcb365cac, 0xbc4d47b4, 0xe0d3ea50, 0x54e18c03, 0xab83eeec, 0x82bd8074,
+    0x31f999b3, 0x7d8e22b6, 0x9aee32b9, 0x67521aea, 0x0d3b9404, 0xb164d68e, 0x0b53ab30, 0x35f555e2,
+    0x35f13547, 0x8492f701, 0xd48904c2, 0xdcd6b223, 0xcff2749d, 0x3c82b483, 0x66929812, 0x213d5b17,
+    0x3953a407, 0x2d5d1076, 0x8ea29705, 0x299b0232, 0x4f8a5396, 0x1d2e988d, 0x91d2ff56, 0xf30f3bc9,
+    0xd9ebe961, 0x3b3c9d34, 0x35f521e2, 0x5b238350, 0xf5b4e897, 0xb90c6eba, 0x60e6c04c, 0xc1a88851,
+    0xcde431d5, 0xd8b74862, 0xca14ebc2, 0x603ad8d9, 0x77424387, 0x0ea3a8c4, 0x26c81a28, 0xd2a5444c,
+    0xcb7140c5, 0xe857c39e, 0x4e987ecd, 0xb63ce1cf, 0x3d455ee6, 0x0b320293, 0x0e21d65a, 0xbd5f16fd,
+    0x83b5e5aa, 0x38fd07a1, 0xadb42d73, 0xbb661ac6, 0x3833bb07, 0x4dcbffa0, 0x7c6fdcff, 0x574255b0,
+    0xc3d5946b, 0x5db870f2, 0x37720a1b, 0x68d5a568, 0xec4cd8b2, 0xcd745bbb, 0x16a53dd0, 0xa5d74042,
+    0x1ae2d028, 0xa0795c1d, 0xbddd95ae, 0x4c491be9, 0x4fe94f28, 0xd620f9dd, 0x6a532ca9, 0x717135f0,
+    0xe83c7099, 0xb8e4e836, 0x1a507c83, 0xacc5de94, 0x703a7862, 0x91e18261, 0x0f1cb2d9, 0xb78c0bff,
+    0x8f5789b3, 0xd34f1647, 0x2d17f6af, 0x55c712f2, 0xedb63206, 0x763d81df, 0xecd9a786, 0x489dcced,
+    0xed4d4304, 0xe3859178, 0xcadec30c, 0x09531e45, 0x3319ea67, 0x13716983, 0xe6af8178, 0xc49d9d46,
+    0x93926122, 0x7a960a06, 0xed6587a8, 0x48f8db94, 0x392973f5, 0xe3e41ebc, 0xcfb4a48a, 0x30d17078,
+    0xdf36d072, 0x4c3245de, 0x78d20dc2, 0x3f202fb9, 0xe15b1200, 0x26c65370, 0x3058a016, 0x398151a6,
+    0x8a5f7a07, 0xe451cbd1, 0x7cfc23bb, 0xf517b885, 0xca2db762, 0xf288f806, 0xae1d9078, 0xf6941641,
+    0x2c06b13f, 0x7412279a, 0x64f26999, 0xf6ea9221, 0xdec814c0, 0xcb1a19c1, 0xd54aa018, 0x38aed190,
+    0xb20ccb02, 0xb605c209, 0xef3e2923, 0x7f161c21, 0xc58d9e50, 0x7654450d, 0x36e3507f, 0x0abd7536,
+    0x28466b45, 0x8907dad5, 0x7f6360ad, 0x119cb689, 0xae3d6d0c, 0xc08d32ce, 0x3032cde0, 0x2ae69480,
+    0x9eca9f92, 0xf2719a86, 0x6cff0a4b, 0xa6bb6009, 0x4a18d29e, 0xf6ba92fc, 0x22277300, 0x5fb61b5a,
+    0x9de00370, 0xcd6fe129, 0x9d1b86ce, 0x37430f42, 0xffcb69aa, 0xa635bcad, 0xa2d0b70c, 0xe0ef7b0f,
+    0x2366847c, 0xeb9d7054, 0x2f2f3c7f, 0x76f5da57, 0x4b89945e, 0x568a8dc9, 0x3915cb04, 0x55aab04f,
+    0x4ff0f180, 0x5d627dcc, 0x6e39a725, 0x3aca8f73, 0x1162537d, 0xa886b929, 0x70a20207, 0x412e74fd,
+    0xdd8395bd, 0x9eec8135, 0x23a5440e, 0x40578c64, 0xd669a846, 0x6a5061d0, 0x01dd559b, 0x4cf1e98d,
+    0x0157658e, 0xd2ef9578, 0x0503262f, 0x57dddac1, 0x9bf5cb13, 0xc56c279c, 0xca3e9a20, 0xcc535575,
+    0x036fca94, 0x0f3e5ada, 0xbce33863, 0x376da4dc, 0x3c36596d, 0xcff2e4fd, 0x8771fe91, 0xde8ae399,
+    0x9eac9359, 0x8f3209e4, 0xdff06798, 0x5897f8ee, 0x07cacdf9, 0x9e4239b3, 0x09114a87, 0x20fc0fbc,
+    0xc6c69650, 0x03c37d4f, 0xa678b5c6, 0xa3c1148b, 0xe5b5ccd7, 0x2ae5dbc8, 0xc76e6ffa, 0x6e26f88a,
+    0xf148cf4f, 0xa9277ff1, 0xf5e9cf76, 0x2aa4a821, 0x783671ec, 0xfdef19c8, 0xb57d5e40, 0xf7d89a58,
+    0x67ae1066, 0xa7c12dcf, 0xbaf68c55, 0x4602800f, 0xd792a337, 0x9427c763, 0xe49bd386, 0x72a9ff6c,
+    0x76b79252, 0x2cba8cf6, 0x1ede3efa, 0xbb2b35a0, 0x4970d4fc, 0x85e77e4d, 0x767ec4c6, 0x9397c56e,
+    0x0e65f050, 0xe9f462bb, 0x443a820b, 0x86be3e13, 0x8d3d801f, 0xb9d0c4bb, 0x095d4b54, 0xcaaee012,
+    0x00000000,
+    0x2958b723, 0xd500e426, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000051422017416287688817342786954917203280710495801049370729644032 */
+  { 0x00000000,
+    0x1d93842a, 0xee54ffcd, 0x5c0be02e, 0x0e756f94, 0xd9a70ec1, 0xe1a976d5, 0xdd8694b2, 0x4ce8f5c5,
+    0xe5e19dba, 0xf0a02c35, 0x40da0f17, 0x0bfe11cb, 0x811c792c, 0x63a22d8f, 0x4a25d275, 0x2b0c43fe,
+    0xc08a1fb2, 0x2efed98e, 0x852dcbca, 0x0527479e, 0xcfd486e4, 0xef64e625, 0x3365a674, 0xb96c22ff,
+    0xacc0e0df, 0x53a45b3a, 0xd2080461, 0x7e7bbe9c, 0x59bc426e, 0xa78fad8d, 0x179d9627, 0x54999df5,
+    0x8a122138, 0x434681f2, 0x9ef9c224, 0xef3d6ca4, 0x99eb346f, 0x109b458b, 0x402f5480, 0xfc630726,
+    0xa8a73961, 0x6a1359b8, 0xb89418db, 0x8b6da326, 0x9b0eee79, 0x0981fb6e, 0x8cd99ba3, 0x384e1a2a,
+    0x7493e1cf, 0xaa12adf8, 0x1906b7a7, 0x5fbe2bc7, 0xaac2f1ae, 0x8805eb23, 0x1bc4b856, 0x319cc5ff,
+    0x4862f74d, 0x628ad62b, 0x1ab190e6, 0xd1357da4, 0x7108fd11, 0xd20f76b9, 0xdd437033, 0xbcc4afed,
+    0xc3090ad9, 0x64b80e9f, 0x654d9c4e, 0x87b19ef3, 0xb74588c2, 0x9beae5fe, 0xf4a0e2ff, 0x001664fa,
+    0x5b77e94a, 0x846fb3d7, 0xbeae2da8, 0xe18810b6, 0x1b8770a1, 0xb883e2ae, 0x854e4570, 0xeca2a336,
+    0xc3863768, 0x7bc9a535, 0xdc7919ce, 0x2798c9cf, 0xee37784f, 0x7981cc8e, 0x1f12e80a, 0xe681c467,
+    0x3bf2dae1, 0xdbd31d8f, 0xcf729a07, 0x4f6ec57d, 0x0599041a, 0x370ed6bb, 0xfe842b6b, 0xa626934e,
+    0xd00b5789, 0x756027de, 0xac372b8f, 0x9099e01d, 0xd25c096c, 0x61139098, 0x1cb7f149, 0x31d788dd,
+    0xf3a712f1, 0xc82e2ab7, 0x3d446065, 0xaed0acfb, 0x7fc6f822, 0xf278e96b, 0x6eb98bd5, 0xc4064c7e,
+    0x1454d5f8, 0x3fbc4d83, 0x3b71dfbf, 0x171bf5de, 0xa87de051, 0xdc940711, 0x6c9e2466, 0x4d8b553a,
+    0x34c7b155, 0x659bfa55, 0x9636b2cc, 0x41387c55, 0xe3023405, 0x327e4b02, 0x29cdb549, 0x63a362ba,
+    0x4a17919f, 0x37bff5cb, 0xeb762cf7, 0xec3c8a3b, 0xfda05864, 0x788b8a22, 0xeab63e0c, 0xb2193f9c,
+    0xe0e25430, 0x9317b14a, 0xe78a943b, 0x1c06e0ce, 0xd86253fa, 0x83feddaa, 0x4b9ba0eb, 0xc2c4fa90,
+    0x94db3f30, 0x5c0d6af0, 0x7bc6debf, 0xd1298676, 0xfc1b3f82, 0xd340d9eb, 0xba394a2a, 0xb4794d0b,
+    0x9a37ccb3, 0xd89b16b0, 0x57716cec, 0xef780010, 0xb690f49b, 0x9500d19b, 0xfcb8386e, 0xc7d8ad9f,
+    0xdaa2a8cc, 0xb70341bc, 0x06d0604e, 0xff6292b3, 0x91ce2ec0, 0x9958d5b7, 0xc6f8b2b4, 0xe6506e4f,
+    0x817ee0c4, 0xfe5dba50, 0x467fc3b3, 0x17106c71, 0x8da4554a, 0xa3ec5cbc, 0x292982d6, 0xae264b87,
+    0x0fad24ea, 0x96c93a94, 0x61f1b6f7, 0x78e45fe5, 0x4efb101c, 0x98ecbc79, 0xf4362650, 0x3ba1442a,
+    0xa657b971, 0xa7f88192, 0x52454999, 0xdd1e5999, 0xaac16de2, 0x3ad8e72a, 0x09871a1c, 0xa2e137ed,
+    0x632a1156, 0xf89485f8, 0xf7e0716a, 0x9e53714d, 0x5eb649d5, 0x77cd5399, 0xec9577f1, 0xe877ec46,
+    0xbe21089d, 0x3e585551, 0xebbb2b54, 0x4568652a, 0xb9bc8a8d, 0xa2294ecb, 0x63a43dc1, 0xb86e50fe,
+    0x9ba92659, 0x1218336d, 0x760229b3, 0x0dcfe0f8, 0x4c8dce06, 0x6fd792fc, 0x04943c04, 0x9fb2d862,
+    0x0c141fa8, 0x435f8193, 0x1c1ace31, 0x810b6074, 0xbb1da56d, 0x3b386871, 0xaa63622f, 0x04049058,
+    0x12f93ab1, 0x2d4e1c2a, 0xa6284902, 0x656be158, 0x31220c09, 0xf543d9bf, 0x3321ac10, 0xe8d84f30,
+    0x616e29c9, 0x60e1c676, 0xe4878dab, 0xcfa5adf9, 0x9cf5e3c0, 0x7eca33f8, 0x53fc4613, 0xb9d32fb6,
+    0x23fcfac9, 0x5bf9917b, 0x3dc3211a, 0x5dfa43c7, 0x68f12a46, 0xe871a0fd, 0xf611214c, 0xebb55d6f,
+    0xc1aedd02, 0xbe74deb6, 0x82662db5, 0xf752c0e6, 0xa8bc0703, 0x1608cca5, 0x17c53578, 0x3e061558,
+    0x5d106502, 0x9b930778, 0x83359548, 0xd0cc477b, 0x28ba0352, 0x3fd511a2, 0xfd2f9bcf, 0xfb00d185,
+    0x41f15b2a, 0x2688e197, 0x12261e52, 0xc5e60383, 0xea5c2483, 0xd07e1ac5, 0x56c7bdc9, 0x12d88a94,
+    0x66c10a6a, 0x4d021d48, 0xd8cd7058, 0x9ddfa8f4, 0x8bc95caa, 0x7abf830b, 0xa175094b, 0x38544763,
+    0x967037ee, 0xf1b6acbd, 0xd1b0bf6b, 0xc98f469e, 0xe6430374, 0x0be54877, 0x3bf1772e, 0xeb6a5700,
+    0x60e63ffc, 0xa3a3108e, 0x04169bbe, 0xce9903b1, 0x3cbf62ee, 0x44c5690e, 0x0cf8060a, 0x71aaf465,
+    0xa1e8a19a, 0xfd9e33a4, 0xab0d36cb, 0x5c46d025, 0x245917e8, 0x956e6de6, 0x783a500e, 0xde0e45fd,
+    0x6a785aa4, 0xf2e1b5c0, 0x9aed2e96, 0xbbdd565c, 0x830bf070, 0x9f2bef26, 0xd3976ca0, 0x17e07ecd,
+    0x41ef2f7e, 0x31229321, 0xdbac049a, 0x70f65951, 0x24358e2b, 0x7b2ca3ea, 0xaa4a83c0, 0xa667a475,
+    0xf6a2428e, 0xf7cceb8b, 0x998fd04f, 0x267e91fb, 0xbadd5a05, 0xd5659ebf, 0xf3bce220, 0xe7eda0b5,
+    0x97da326e, 0xa135c1fe, 0xed9de0f5, 0x2c8872f5, 0x551985b2, 0x065a1967, 0x107f00e6, 0x507c12c9,
+    0x5662a69c, 0x4322f0f7, 0xfadbbc66, 0x264c910d, 0xa210afad, 0x6b896f91, 0x35e4b060, 0x084d5104,
+    0x0ce912e8, 0x8874eaff, 0x3a5541ab, 0xe78d142d, 0x4974485b, 0xd370bc7d, 0xa5d66613, 0xfe32c3ff,
+    0xb0e8f81c, 0x05db5873, 0x23ce0a0d, 0xf0281337, 0x7a8f94f9, 0x22a55de1, 0x55cb3e89, 0x3c29d8d9,
+    0x9a1ab118, 0xafb5ba0b, 0x9c241f1a, 0x57b64a87, 0xcf9c41c0, 0xec161853, 0x6b8bfd8d, 0x0aa790c4,
+    0x2b312146, 0x2231a86a, 0xb65422f7, 0x454e57b7, 0xd5f6263c, 0x4d9ac745, 0xeb3a6d51, 0xff33ea32,
+    0x5ef891b3, 0x2a13d98a, 0x09405615, 0xb54400f5, 0x3642cc07, 0x89abd694, 0x7812901f, 0x61c0de45,
+    0x2c49a779, 0xc0effb3b, 0x08c6d67c, 0xc2e6e32d, 0x3fe7ba6f, 0x3a9c248c, 0x5990c894, 0x956fc581,
+    0xc0747ce8, 0xb899b91e, 0x7a1e3cea, 0x6d3370b1, 0xf7f34320, 0xb2a17c2f, 0x6c382e1e, 0xdabe33bf,
+    0xc98d9caf, 0x7548ca2a, 0x50ca4c03, 0xb165fb69, 0xb2f7d0b4, 0xd0a9b934, 0xfcbea842, 0xa2c69484,
+    0x8cc45821, 0x50e434ce, 0x1011eab4, 0x4a0fb2ca, 0x616afe35, 0x0f981c76, 0x86d1ea1c, 0x0e98861f,
+    0x28cfc1bd, 0xef7aade1, 0x8529727e, 0x862a1f97, 0xe65f7110, 0x23ad7d68, 0xe2696884, 0xd6dfe0c4,
+    0x8a729b72, 0xb7047641, 0xcb660bdc, 0x74ddda6e, 0x8614dc87, 0x377ba2cf, 0x482da9e3, 0x403f009c,
+    0x77968a5f, 0x71e763f1, 0x16acd41d, 0x753de720, 0xe89ffdb3, 0xb398a8ab, 0xd8b884a7, 0xbd792de2,
+    0xd81c9648, 0x805541b6, 0x07a593a1, 0x891193b6, 0x464c7d63, 0xa81fcbe9, 0x909cb52a, 0xbb6ef299,
+    0xc542f925, 0x6ef3d187, 0x6b973a5e, 0xed4ee475, 0x68e43e13, 0x1a1766eb, 0x250706b2, 0xc987b3f2,
+    0xb8f61ad3, 0x9b3f838c, 0x401bc614, 0x547f7ab5, 0x74af1a09, 0x1bb831ff, 0x402508ed, 0x034e38a5,
+    0xd5d0189a, 0x9753bd95, 0xd5ed1f64, 0x2d935481, 0xe5bcc2af, 0xf494648b, 0xa49b23dd, 0x17c4c18c,
+    0x8edda66d, 0x77ffe09a, 0xa42d7d74, 0x1b8b24ae, 0xcfda1975, 0xad0fb6f6, 0x7b5c23f2, 0x0fb87327,
+    0x910372af, 0x68ee2480, 0xafa7688c, 0x0873c1a9, 0x8cb75b19, 0xea58ebdf, 0xc74968f5, 0x4c71623c,
+    0xc13c482d, 0x4d40f5a0, 0x65b2c587, 0xae2ab9e2, 0xd197cda5, 0x0f7c5729, 0x4f38b92f, 0xbfe97111,
+    0x99b87b1e, 0x42058b59, 0xc18e5e20, 0x84b9a4f3, 0x32d42b18, 0x179dc37c, 0xf69861b9, 0x59882bcf,
+    0x4e0d1bcd, 0x0df4a07d, 0x55f4812b, 0x7a95cf34, 0xa8022de0, 0x7bd22f73, 0x74650b0e, 0x4b9968b5,
+    0x4a183078, 0x2ed150fa, 0x22e1479a, 0xfa1bc7ad, 0x7cf5488a, 0x2aad1188, 0x47f3894e, 0x279ef394,
+    0x8b578899, 0x92f30033, 0xe0ac09ee, 0xdf0e05d0, 0xe297bdfd, 0x90151576, 0x47bbed0a, 0x9c4db0f5,
+    0x9f54e58c, 0xfb7772df, 0x4560b574, 0x4dfe7c4c, 0x5256374a, 0x6e73b73e, 0x1f3503e2, 0x7a63d880,
+    0x11f1dd82, 0x1e55659b, 0x6e776770, 0x9e5e6735, 0x1eed12b7, 0xe4bec9c0, 0x96e6b959, 0x061d8e4a,
+    0x73098e5b, 0x10213a3a, 0xaa7d28d0, 0xc657b3cd, 0x5b4be0d2, 0x5daa4c25, 0xce8cb5bb, 0x59eefd7c,
+    0xe265e274, 0xbadb8bf0, 0x7f7de77b, 0x8141431c, 0x89915657, 0x397fe46d, 0x9409f934, 0xb281e702,
+    0x74cd9af1, 0x0f8f366d, 0x54a61146, 0xfdfca387, 0x4f366d5f, 0xfda9d863, 0xa2126e1f, 0xdfe704c0,
+    0x5fd82ea9, 0x09a7e5ac, 0xfb5c18ac, 0xc0b82ffc, 0xc0a45b3d, 0x596ea1fb, 0x60698977, 0xf7c772c0,
+    0xaf5500f3, 0xd0476e27, 0x0ccbcceb, 0x959ae54c, 0x2c7239ea, 0x61838284, 0xedc3728c, 0x4b9dac35,
+    0x4c9d95f2, 0xb49392bb, 0xcae1a444, 0x88a2bd6b, 0x253cddd0, 0xd5b2c2a4, 0x8754f901, 0x9fadc7c3,
+    0x9f4b7061, 0x9f899305, 0xbe53dfdb, 0x5e2551af, 0x6b79408e, 0xd87560cc, 0x32e8ca8f, 0x09c7d073,
+    0xa3f4172b, 0x522138b7, 0x931d4208, 0x51f22716, 0x7eb715b4, 0x5e0a967e, 0xa4d461d2, 0x2d6acb9a,
+    0x7dba1705, 0xe442577a, 0xc4ad90f7, 0x66335696, 0x782dfae5, 0x953e1c71, 0xf40355cf, 0xe566fb37,
+    0xa7fb2da3, 0x289171fa, 0xd2766195, 0x2b383484, 0xadb3b353, 0xbc9266b3, 0x95961835, 0xd626e6aa,
+    0xd8f739d8, 0x4d6fbe3a, 0xc890e233, 0xc1fe5ad6, 0x488f2e75, 0x3dc82230, 0x93d3907e, 0xb8a9e5f8,
+    0xcad4b942, 0xb5583251, 0xfcafb837, 0x0dfc1808, 0x5cd3cf5d, 0x8018a185, 0x2a6b1975, 0x5b572d5f,
+    0x8e5ad710, 0xbf777ba2, 0x474e480b, 0x97fd7bd6, 0xc403ea10, 0x60efbbf4, 0x2a54883e, 0x65f6ae29,
+    0x19db162d, 0x44397060, 0x4b3e02b1, 0x81a035b6, 0xa1d7bdbe, 0x007c3dd1, 0xa51da027, 0x2ec86069,
+    0xccee463d, 0xce3c6d75, 0x51db34a7, 0xfea09939, 0xddd8d190, 0x9e66ac5e, 0xf75e00cc, 0x5007b4a4,
+    0x5960ccfe, 0x7004c4b7, 0x3797b093, 0x7b81f42c, 0xa74e63f0, 0xd89179bd, 0x3c4f256b, 0x443e9bd5,
+    0x18a105c8, 0xb64724ac, 0xbe9e60af, 0xc9343d0c, 0xad9a7fe1, 0xba75085c, 0xdee53dbf, 0xfecb454a,
+    0x8cd84244, 0x9fa8456a, 0x9056905e, 0x1d8687bf, 0x354d7388, 0xbbd4d97a, 0x59a3394c, 0x19862645,
+    0x53ca50dd, 0x010227b1, 0x56b81f53, 0xb6fe80d5, 0x49e5386b, 0xebe4c949, 0x2ac424b2, 0x1570b34d,
+    0xe21a52a9, 0x4fe05034, 0xbecaa5b8, 0xb88812e8, 0x1c0f6305, 0x955a9c26, 0xfe155eb8, 0xdb5c2f96,
+    0xd2a8ed6d, 0xbdec618b, 0x830c7be3, 0xff47c25d, 0x75afd1e6, 0x9d94684a, 0x01cbf77b, 0x72937c82,
+    0xdf571472, 0xa58f465a, 0x926e8365, 0x6a0a8425, 0xbebb2c6b, 0x22aab7e2, 0xa820fddb, 0xe1630d46,
+    0x3fcf2a84, 0x7eebfe78, 0xd782ef5c, 0xa1a1faaf, 0x3e06e8a9, 0xcf02c6a6, 0xd4760129, 0x251c42f3,
+    0xde43b2f0, 0x6a059d29, 0x25fc6a4b, 0xb8f0446b, 0x20c283fa, 0x6f5f13a5, 0xe2630e3e, 0x0e112d66,
+    0x01caacb6, 0x7c22a805, 0x38de737a, 0x5c7ccd2e, 0x457e6089, 0xb3554b87, 0x3fbf2b2d, 0x201957af,
+    0x4f15f282, 0x51555359, 0x6d23872f, 0xaba1daaf, 0xb43b6c82, 0xc72500cf, 0xfee31692, 0xe04c5f79,
+    0x22e51b37, 0xd32dfa38, 0xbb609fe8, 0xe9bc8f83, 0x409a191b, 0x0478ea6d, 0x04bfcb32, 0x91867d8a,
+    0x79ab6d5b, 0x74c20ca1, 0xedda50ee, 0x937bb0fd, 0x332fa22d, 0x250e5e05, 0x6605b9aa, 0x1da7e7c2,
+    0x54c8a521, 0xad1ef2d5, 0x3bfe37f2, 0x37537b3d, 0x8444f29d, 0xaee94cf9, 0x63d9436c, 0x4772ce2d,
+    0x92d1b4b1, 0xcd0b34eb, 0xbfdb2172, 0x361cec55, 0xb282e27f, 0xe2927e20, 0x45b2d326, 0x9abb0a19,
+    0x9da4e2a1, 0x880b7b1f, 0xf019b780, 0x9e833735, 0x8b069b93, 0xca6abb46, 0x03989a50, 0x0bc9f690,
+    0x8d7dc0ab, 0xb9ecb552, 0x10159c62, 0x3aaeda74, 0xeb81c71e, 0x58cc3530, 0x9da193fb, 0x2e0fd219,
+    0x8b082224, 0x7f8c25c5, 0x2f64fc3a, 0x1ece214b, 0x4b55ac8c, 0x82857083, 0xdc8fe7ab, 0x721532f3,
+    0x46e06449, 0x671800df, 0xc0d2d5d3, 0xdadc73f9, 0x9dc1b5f7, 0x67ddd8ae, 0xdc618e44, 0x344a83fa,
+    0xfd0d401b, 0x67bacc64, 0x1d1e254e, 0x6c1d3a87, 0x0c530278, 0xacbe7bb9, 0xfd6083d2, 0x0c054cca,
+    0x4a93a8a2, 0x6cb14fb3, 0xd53c574e, 0xf0fbdfc3, 0xfc6e7679, 0xf40f2724, 0xf78dca04, 0x0ee6d2b7,
+    0xdf412df9, 0xf1255dab, 0xe2706965, 0x20aae623, 0x05877445, 0xe9833b11, 0x42987194, 0xa987af69,
+    0x98b6bf9b, 0x36112312, 0xabc65dad, 0xa8c0fc61, 0x8d84bab4, 0x0eabcab2, 0x23850fe3, 0x8e5f10dc,
+    0x26bc1387, 0x8e3502db, 0xad74c380, 0xe93ef4e6, 0xf7f938c7, 0x73a9d903, 0x00830e8f, 0x2988990f,
+    0x81aea798, 0x770311d9, 0x897ac29e, 0xecd5293a, 0xcb8ae362, 0xf2d72b25, 0x3d44b844, 0x33cc9dcc,
+    0xb2928a86, 0xe93c9279, 0x793f35ab, 0xc9cbf420, 0x6e26d221, 0x1d35279f, 0xc11a3980, 0x85d86a5f,
+    0xb60e06f4, 0x86ba7c17, 0x00f19359, 0x40424d95, 0xab422798, 0xda0241a8, 0x0bb6e59d, 0xf3eed6c1,
+    0x6e241ce1, 0x1a2c822f, 0x71cf09b7, 0x850bfe45, 0xd70cf016, 0xe1cf2a19, 0xf3272ce4, 0x17fbdea2,
+    0x40f4076f, 0xef621c3f, 0x71e6fef5, 0x180324c8, 0x66fe6853, 0xdb3491ab, 0x90a3aaee, 0xb3796224,
+    0x31a45942, 0x0a28f37a, 0x5b9ba771, 0x063b8c40, 0x09c71de6, 0x19900978, 0x973798c8, 0x3c179c80,
+    0xb04bc050, 0xfdd0defd, 0x4d45feed, 0xf6c730a1, 0x234ff2c9, 0x08ed76c4, 0x1c4a5aa5, 0xc4bd86a8,
+    0xada8104d, 0x9e52625c, 0xec0a91a3, 0xb3c43a13, 0xc216a81a, 0xa9545747, 0xf7d075bb, 0xc6b90af6,
+    0x99d2fe23, 0xe2f2bdf6, 0x9fce06c7, 0x5d2c5b65, 0x9f348c2a, 0x7428a757, 0x81b8a894, 0xc03d390a,
+    0x6e565ce3, 0x3951a0f0, 0xc3c3051f, 0xd7de49b4, 0x9940425b, 0xea73e195, 0xe6331346, 0xb7c77959,
+    0xed78ff16, 0x2b573356, 0x3c8427fc, 0xfb6e2fa9, 0xd820a91f, 0x50bc9b07, 0xa783e6c3, 0x38a517c8,
+    0x68b3a865, 0x4210168e, 0x0140779d, 0x6ddbdffe, 0x953d2225, 0x1b03e904, 0x7ae9b425, 0xa5e9f7fc,
+    0x5710a157, 0x9ef2e905, 0x7ef6f7ae, 0xc7620425, 0x4e1ebacb, 0x90a270c7, 0x5e07ff9f, 0xe852cfef,
+    0xf1d4aaff, 0xffb2ec17, 0x30bb5678, 0xa359af60, 0x8c67cda1, 0x1181d1ba, 0x3e1ba04b, 0x15cecfb5,
+    0x3b04bfd4, 0xe4ee76b6, 0xdd2174fc, 0xd78bf63e, 0xa4c666cf, 0xa241f21a, 0x034b8cfd, 0x63afdc87,
+    0xa98c5faa, 0xa163c599, 0x3315cffa, 0x36a2ab3e, 0x43ef2962, 0x2305f7b9, 0x1cbd68d1, 0xb2c14b7e,
+    0x4843a82c, 0x7f33adb9, 0x5ce3de26, 0x2f65134b, 0xec177b87, 0xac31204e, 0xae5f1580, 0xe04fd0e4,
+    0xdfeb59e7, 0x7b9f8979, 0x36eaeda0, 0x9bbdffbb, 0xfdfc3426, 0x469d7f02, 0xa9b5297e, 0xad6493d8,
+    0xc80cf17c, 0x9f0b0440, 0x5bcc9fe8, 0x6e94638d, 0x59885aa6, 0x58586ab3, 0xd5802b47, 0xa111d5b2,
+    0x00000000,
+    0x14ac5b91, 0xea807213, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000025711008708143844408671393477458601640355247900524685364822016 */
+  { 0x00000000,
+    0x52ac5de4, 0x2a4f4904, 0x126a061a, 0x47ad6d76, 0x26a97098, 0xd9aed075, 0xc4f0a705, 0x9d9d60a1,
+    0xf5e1faff, 0x3aecb359, 0x58002049, 0x4ad38d0e, 0x7ee22430, 0x55d98d4b, 0xcc23a18e, 0x718ced7b,
+    0x87570158, 0x6514f729, 0x36449954, 0x7115d329, 0xcf14099f, 0x0fe96185, 0x486e16b0, 0xa2bb6a32,
+    0xc68614cc, 0xbdf7ad47, 0x837420ea, 0x867ae0d2, 0x49d4614b, 0x48a6f3c6, 0xbe297193, 0xe7776e0b,
+    0x9d00bdaa, 0x15838427, 0x3bceb1f7, 0x2402357e, 0x191b2c07, 0x7903a823, 0xe03cb906, 0x3ddfd358,
+    0x7c945f27, 0x25dfd0cc, 0xd5871c6b, 0x66aecb42, 0x17ce198f, 0xb1d4e631, 0x08de6034, 0x75b038a5,
+    0x2de68561, 0xa5d122ea, 0x89072fff, 0xca9845d6, 0x700a2729, 0x8d7e589b, 0x2de112c0, 0x919459a3,
+    0x1769f050, 0x3e53a322, 0xc5f8c275, 0x0be95048, 0x89605410, 0xc9adc8fe, 0xc2f512ce, 0xffc30b86,
+    0x7c28dda6, 0x03bd2594, 0x90ab48d0, 0x479919a5, 0xaf287d1a, 0xc7886c20, 0x9361e27c, 0xa4612bee,
+    0x1875ff9d, 0xdd708382, 0x901b5459, 0x7b307585, 0x868cb07e, 0xed49048f, 0x0fe8767b, 0xfa817f01,
+    0xa0572056, 0x24658bbe, 0x643db4ab, 0xefe32924, 0x31b36ac9, 0x7fe74a11, 0x667d9940, 0x7e195a05,
+    0xcc8e1dd5, 0x5feb7754, 0x5138b22f, 0x57ef0ab2, 0x905dda47, 0x40a8877d, 0xe16ce0c3, 0x41311f2c,
+    0x0fddc6d2, 0xf1902ad4, 0xd86aa1ef, 0x66095e1f, 0x00d5b99d, 0x32b658c1, 0x89e85fa5, 0x7970f61c,
+    0x1ce21c2a, 0xc89592b6, 0xa756d257, 0x9d3194d7, 0xe5668797, 0xefacc35a, 0x94d8c6d9, 0xe66b9fc7,
+    0xea738c0c, 0x6c01c343, 0xd8a60169, 0x04e8136a, 0x6b8ac1f4, 0x8dacdcb2, 0x8a5ad238, 0xff824a6a,
+    0xe50d96b0, 0xdfc4f89c, 0x57cf2fd3, 0x6cd29132, 0x75f5a71c, 0x40e54ad0, 0x98662873, 0xfce3a578,
+    0x6bf10cb1, 0xcf563349, 0x4bc077c3, 0xe06e17e4, 0x339f87c8, 0xd03fdfed, 0xa7c2026c, 0x54e3157e,
+    0xf35547c0, 0x1de890e1, 0xe0ca7384, 0xb22ce0c6, 0x439e7cca, 0xbeb2dbeb, 0x7b5ddeb6, 0x83204fdc,
+    0xa6ecf65b, 0x0f8f3b60, 0x3668e4e1, 0xb74abcee, 0xd924e6c7, 0x4a382952, 0x6e4e9c07, 0xbada6fb5,
+    0xaff25726, 0xdfb1be63, 0x30e3b6a7, 0x5c07eed4, 0x60c0065e, 0xfeb342c5, 0xd05b6fc9, 0x8933d5c5,
+    0xf7adf38a, 0x9204d27d, 0x4a37ded7, 0x1404790d, 0xdfc0aa21, 0x6550b3de, 0xeec57339, 0xbabd5782,
+    0x00b419ba, 0x502a60ed, 0xf256b87b, 0x2e4b381f, 0xc5fa8f65, 0x51b4c79f, 0x79a4702f, 0x1b1a05cb,
+    0x20d98927, 0x5768a6b3, 0x99d5a66d, 0x14c310af, 0x87035294, 0x135628be, 0xd48b6073, 0x4b416f66,
+    0xddc3ee54, 0x872546f6, 0x7e4ea63b, 0xe080c973, 0x47a3212e, 0xfc1d0ec4, 0x4a216e15, 0x15e10927,
+    0x452e47bd, 0xed22364e, 0x13010215, 0xdf7da6cf, 0xd9ae5d98, 0x1fc54c31, 0x2e3c6ca8, 0xa3917a26,
+    0x790ee66e, 0xd95f1847, 0xa04a5af8, 0x6087cdd8, 0x76dc7d71, 0xf4840413, 0xf0e3d5a6, 0x3bbf6f19,
+    0xf480bd3a, 0x78cc5a94, 0xca40ecb3, 0x2af98956, 0x6c0b3932, 0xe03245ee, 0xf60a9911, 0x7e6330e1,
+    0xc4a2f469, 0x31a753fd, 0x16a35eb6, 0xe2ca94ea, 0xb9087a84, 0x7738fc41, 0xd69dc99c, 0xdd79b0d1,
+    0x5feb7ee2, 0x047f2a8a, 0x76b80417, 0xd3b6379b, 0x92a6a6e0, 0xe9155966, 0x6f05d01e, 0xf089413a,
+    0xed107326, 0x795a27fe, 0x506a6042, 0xba1f87a0, 0x9e2f0860, 0xf466a33f, 0x04ad22bb, 0x235f01a5,
+    0xf6dd3b16, 0x65eb9bd9, 0x15a4b253, 0x4ddc1ecc, 0x730d0a20, 0x0c17e4bb, 0x7fb9a985, 0x70e5df32,
+    0x5cb8ad57, 0x372179c1, 0x1a7d0961, 0x1e57adfb, 0x030fe1f1, 0x9a9717ef, 0x4f304812, 0xce9a9360,
+    0x40669e13, 0xbeceb9d7, 0xd88121cd, 0x4c8feb67, 0x278e5455, 0xa93add70, 0x197435cb, 0x96c14dc6,
+    0xe8c2afe8, 0x91964e99, 0xbd8b85f7, 0x369e07a0, 0xaa3599ed, 0x473c7231, 0x86d943d2, 0x6b9e6f03,
+    0xf80c4190, 0x7ab63683, 0xdc61c64f, 0xe5ecefae, 0x7d50b726, 0x48e9ecd1, 0x99df57fd, 0x43bdc7a5,
+    0x9e532def, 0x65d264b8, 0x72304b19, 0x66662102, 0x05965e5a, 0x1d52495d, 0xd1aec0a8, 0x5d786845,
+    0x95c76c20, 0x41faeeef, 0x35beebd4, 0x4287fec8, 0xdbb510b8, 0x2e18c2a8, 0x402f638a, 0x2bdbecf4,
+    0x19508b94, 0xc30cade2, 0x7efce5ba, 0x232820e0, 0x36a87851, 0x8d9075b8, 0x93cf3e4d, 0xcab8d708,
+    0x142da035, 0xb59adce5, 0xadba619e, 0x1e9a9bd7, 0xc2947794, 0x68d8325f, 0x3144498d, 0xf73b6235,
+    0x984c7240, 0x1b12011a, 0x5806e452, 0x4fdb5076, 0x7fe2e21f, 0x519bdf12, 0xd8a1ec83, 0xe0b954b1,
+    0x44aea777, 0xd90be76b, 0xaaec31f0, 0x4c86f487, 0x994bc515, 0x684414de, 0x4d4d2b72, 0x9ed404dc,
+    0x1d631de3, 0xa113791e, 0xe93351df, 0x0fa043f6, 0x3c32dad9, 0xa25b1b93, 0xa97f0803, 0x86606932,
+    0xa2a159e4, 0xd6f47b22, 0xde4547f3, 0x708fe291, 0x19380869, 0x658dc266, 0x03407699, 0x3e019921,
+    0xbc2fd211, 0x6ca7ad2a, 0x4c093641, 0x6a142bff, 0x2322f725, 0x3fbac3ec, 0x00aa7190, 0xea423675,
+    0x56c6e6db, 0xee537dac, 0x45d7d55b, 0xb473acd4, 0xc7b4d658, 0x36e9c024, 0xdf496f69, 0xd0bdb52b,
+    0x28350282, 0x0712dbce, 0xe5755cb1, 0xc6662124, 0xf0f4185f, 0xa7b946b7, 0xa259fc15, 0x2f43bb5e,
+    0xc2be2eda, 0x2d0c5713, 0xb5734e77, 0xdf04676c, 0x651f341b, 0x53c8d68d, 0xa51dcc2e, 0x998921c0,
+    0x430cec15, 0x20124c7f, 0x674f541d, 0x4b4a024d, 0x8a493da0, 0xdbe77d7b, 0x9980b059, 0x335a9dab,
+    0xa687f428, 0x942f4a1b, 0xf445b6f9, 0xf73dfa50, 0xa6cff931, 0xf6d4c018, 0xee54e30f, 0x79e4e5fd,
+    0xca88bc40, 0x09c8906c, 0xcf984b49, 0xacd65c62, 0xe9c5d3e5, 0xbd7fd097, 0x1a2ed16c, 0x623aa9da,
+    0xdcf7de6b, 0x28bc0638, 0x5b2c60ed, 0xaa297767, 0x56dce4ed, 0x0de9cd75, 0x7ba5bbc6, 0x4f225dba,
+    0x919b9a22, 0xed041096, 0x28f32ef6, 0x0502e9ac, 0x65288a5d, 0x41f2165d, 0x598c60d6, 0x75112850,
+    0xcc8ae7cf, 0xab220b4d, 0xf74619ea, 0x0619fd1e, 0xfb5ca66d, 0x5472f5fd, 0xc7400cbe, 0x150a92a0,
+    0x611444a7, 0x176b515b, 0x02f566bb, 0xf1d791e3, 0x18ff99b3, 0x5b3caf30, 0x3757c882, 0x87a4e343,
+    0xb9296098, 0x31cc8df9, 0x17e82310, 0x2fbae045, 0x9422827a, 0xfdf34641, 0x0d743ca8, 0x17607729,
+    0x558520cb, 0x56c41be5, 0x3c0b5b49, 0x18be2f3e, 0xacd1afbd, 0x426fe6dd, 0x72bd1abf, 0x0485fb57,
+    0xc28c6351, 0x85204d00, 0x8e04500f, 0x4aad5100, 0x6efbf784, 0x7dba0403, 0x4f1e9f48, 0xdb667228,
+    0x6d2a9ff2, 0x106b659a, 0x33a91789, 0x7f0d2d4f, 0x768cbd42, 0xfff03a5d, 0xabdb1b46, 0xc89c27b5,
+    0x98923428, 0x5e8c48df, 0x180b7b0c, 0x9ec22e8d, 0x20bb1696, 0x5ce494c1, 0x375208bd, 0x428e88eb,
+    0x5426e77a, 0x59216976, 0x4a653c43, 0x2b5b61fb, 0x72d44831, 0x0a0d53ad, 0x93994050, 0x17c6952b,
+    0x6bd023af, 0x4af89dfd, 0xebcccbd9, 0x73164ecd, 0x0ba280a2, 0x6d6e9470, 0x6b7ffec4, 0x22572ff4,
+    0xc28773b5, 0x39ec9600, 0xce07fb93, 0x51e57322, 0xd5861503, 0xd4f84c30, 0xdb3c84d3, 0xf5906dac,
+    0xa133284b, 0xfd3b8aef, 0x040d61e9, 0xd0d8a064, 0x43fa1ca1, 0x4d2424ef, 0x14864fb5, 0x99bc2c4d,
+    0x60ce58d2, 0xad2c2333, 0x8db8bee4, 0x74a6da83, 0xbf9ec7c2, 0x2bc511e0, 0xd00b9503, 0xc1d8e69b,
+    0xbbfbc23a, 0x7f0488fb, 0xbfa09ad3, 0xef7350c5, 0xcefbabe2, 0x9710c890, 0x11cc1892, 0xb06f34fe,
+    0xa67a0aa3, 0x1daaaf7b, 0x9e8101ae, 0x587a8086, 0x5e398a98, 0x3596c59d, 0x22d5ef92, 0xcdd044db,
+    0x615f7594, 0xe012a0e3, 0x179665a7, 0x50f215f6, 0x04197762, 0x05c6c3f1, 0x428eaf5e, 0x5863077b,
+    0x3995b9ed, 0xd2dfc527, 0xe5044865, 0x82c55e33, 0xd4ee2fb3, 0x45499d1e, 0x754e17c7, 0xbc64e4bc,
+    0xe013f43c, 0x6bd9c51f, 0xcae9c912, 0x6abf8937, 0xe3f02949, 0xde33e834, 0x0563ac95, 0x2eb32d52,
+    0x9b8c3f59, 0xff87173a, 0xf740dead, 0x89cc7267, 0xbcb4e77c, 0x9c67fca0, 0x6e9794c5, 0xc73da006,
+    0x77b96f42, 0xfbb848e2, 0xaf7ad45c, 0x5dc0dd00, 0x37629758, 0xd7cb2241, 0x5b6c4cf0, 0x9b1f780a,
+    0x700f11e8, 0x99b650f2, 0x6bcc5332, 0xd7e912e0, 0xbcb1bd7b, 0xd996f63d, 0x8c5b0616, 0x768d4857,
+    0xabbd98e9, 0xb9edd20d, 0xccce4bc2, 0xebfd3643, 0xe20bf536, 0x3494c569, 0x0e4a315d, 0x222ec7a4,
+    0x8b7a7c54, 0x301c3aba, 0xaafcf632, 0x36f451f4, 0x81611a60, 0x991e7a18, 0xaebbb9e1, 0x0e9e691f,
+    0x1519a96f, 0x131b4d3e, 0x1c561c95, 0x726bd17b, 0x000cefef, 0xedfc2307, 0xec80780e, 0x5b311aa7,
+    0x7cb91d26, 0x6289057d, 0x72f7f765, 0xd97df2ed, 0x7c7ba458, 0x34feb1db, 0xe483e81a, 0xcfa388fc,
+    0x4f073a20, 0xb304dbd6, 0xd6a99f98, 0x35f02f42, 0xc620e441, 0xb78008f2, 0x7af4e997, 0xc972700a,
+    0x324297f1, 0x238dda38, 0xbdb23cac, 0xb1bdb6cc, 0xcf4661af, 0x1cbb5d3c, 0x18d3cfb3, 0x013c7e5a,
+    0x8adb3926, 0x6cad7bbe, 0x540be0aa, 0x529a0014, 0x27f55f7b, 0xde631fb0, 0xb594b8c5, 0xd6bdee35,
+    0x784df23a, 0xf207999e, 0x7af82ae9, 0x9a11243d, 0xfd4fa2ab, 0x0ac394ce, 0x0f6542b6, 0x14a9fdd6,
+    0x5b38b172, 0xf53dd888, 0x29f81845, 0x75915b2d, 0x01cc069c, 0xb4ab9258, 0x73cd7698, 0x65612898,
+    0x37f5e934, 0xa98e432b, 0xe0c8590b, 0x03b3cd3d, 0xd97b1137, 0x6bd7de5e, 0xb1546b8d, 0x132c3850,
+    0xe3bc5a60, 0xd8438dee, 0xcf6312e8, 0xc3c7ce31, 0xbb81e96c, 0x4e592ebf, 0x840a1b60, 0x8f33fda4,
+    0x1eb4df12, 0xf32d0771, 0x888561ee, 0x54fcbed7, 0xb8cc2e2c, 0x1ce1f7a3, 0xf2a86b5e, 0xa5f7d475,
+    0x4b3a62fe, 0x6f9adbfc, 0xe45713bd, 0x8b33c402, 0x1d1b3780, 0x626e9d15, 0x6f9c61ed, 0x7ddf3f8c,
+    0x56ff4c77, 0x13c81e09, 0x72db1f7a, 0xc338a35c, 0xa8271fea, 0xbc5a1219, 0x7cd495cd, 0xc710a5cd,
+    0x1758b275, 0x164f3ae3, 0x228522e2, 0x3a2a2059, 0x952636bb, 0xe862184a, 0x118a6251, 0xc6e3d4cf,
+    0x6f59114e, 0xfa332790, 0x535651a8, 0xd91381de, 0x75d319d5, 0x81570b99, 0x98954eb2, 0x40fe56df,
+    0x3dc2e923, 0x55c2fc38, 0x9a60c283, 0xdd5e10a1, 0x3eb75f53, 0xfef11c26, 0x20406ea5, 0x8652eab2,
+    0x22e921f7, 0x11099a25, 0xac7c9a33, 0x4f69fd9b, 0x98a2a91a, 0xfa99ad2f, 0x14caf420, 0x07fbd1a5,
+    0xacb86c2d, 0xae372240, 0xba676c8f, 0x11642654, 0x6b7d1608, 0x3204a6f7, 0x4699e05d, 0x68f3d409,
+    0xffadadee, 0x286e6268, 0xc0b97539, 0xc7829901, 0x9aebcafe, 0x572a6e6b, 0x7da6c1e1, 0x1950418a,
+    0xbe664aef, 0x76b2e734, 0xef034468, 0x6e06960f, 0xfe2d47fa, 0xdfd6859c, 0xe4d7069b, 0x6a2b3866,
+    0x2711748c, 0x4f5422fb, 0x9547b04e, 0xee86c3cb, 0x1ad29b0a, 0x60249df2, 0x48ffcf0a, 0xa0a99602,
+    0xe5c26f9c, 0x7e3fa039, 0x0ebd8866, 0x1f6f4a0b, 0xce079dd5, 0xfecd0ffe, 0x8444e9f0, 0x83aabe7a,
+    0xc0e7a03d, 0x098f439d, 0xbe475dc8, 0x6ebba2e0, 0x0aa49178, 0xf394f023, 0xbca8a4f8, 0x27fdb5c4,
+    0xe26c6915, 0xe4bc54b2, 0x49e6a9b7, 0x6a6efc54, 0xa44c6bbe, 0x43786dbf, 0xb6840e1e, 0x1e934c18,
+    0x8cd38cc8, 0x7114334b, 0xfd8c4181, 0xfb95afa1, 0x47fb9dec, 0xad36df53, 0x18437db9, 0x6c29e1a8,
+    0x94debe1b, 0x2d8b1c59, 0xd727182d, 0x3fa21407, 0xf8202fbd, 0x71079e3f, 0x2efa2eae, 0x9672a712,
+    0xe9810d35, 0x323bdf1e, 0xdcaf53a3, 0x1d3d36ec, 0xc58cc097, 0x324e8250, 0xb64b7602, 0x186f90d4,
+    0x252c0ece, 0xe4d4269b, 0x8011597d, 0xd06f9295, 0x1538d1b3, 0xbf797fa1, 0x249cc112, 0x9e8249f9,
+    0xc9b4d07b, 0x85713e30, 0xad275097, 0x9e081541, 0x6047da1f, 0xfa7c698e, 0xcb526b22, 0x4a52aa4b,
+    0xa755aa2b, 0x8b10b031, 0x093dcade, 0x6c118903, 0x527143d7, 0x9d4cbede, 0xeedcf5c4, 0x0bf16481,
+    0x3ad6947b, 0xa20655b0, 0x74ab84c0, 0x7f66394f, 0xb6a9579b, 0xbca147f6, 0x6e4f1ab3, 0x2797610e,
+    0xd7af2acf, 0xe6fbd2be, 0x3f3d8a74, 0xf78fc3cb, 0x2e46d5f2, 0x2644ee5c, 0x3c040515, 0x3d6e4eb3,
+    0x3bc4a21c, 0x91bf0129, 0x0e982279, 0x3628510a, 0x1d117b53, 0x822e7b3a, 0xefb4ef6f, 0x04ef844a,
+    0x4604b398, 0x10389695, 0x05df8360, 0xc1a005ee, 0x1d10ccc0, 0xcd1dc804, 0xc4809b17, 0x6aa74e8e,
+    0x3f57cafb, 0x68955f39, 0x10a729be, 0x16bcf9ca, 0x32af6f69, 0xa5d76b6a, 0x0f49bc5d, 0x076c2621,
+    0x81820bd7, 0xd35add8f, 0x17b1b88e, 0x453cbcc4, 0x427478a2, 0x3a348e60, 0xb594f32c, 0x230fbd0c,
+    0xcc4bb036, 0xada4f052, 0xda9ba06c, 0xa1497a6c, 0xdc9ba2a6, 0x7309a79e, 0x6794061d, 0x3a5ad04f,
+    0xa97dafd3, 0x4bd89dd7, 0x1000473c, 0x8a71a861, 0xa2f74e7a, 0xc17b3c49, 0x510528e4, 0xd3a481a8,
+    0x8e19c249, 0x0ee3cbc5, 0x158cde8b, 0x8c13984b, 0xbe309383, 0x4181caec, 0xa6598ee3, 0x951470c6,
+    0x1f5d565e, 0xbd90423a, 0x34899320, 0x146f9737, 0xae3bb8b7, 0xc4e25b5a, 0xef2bcb8e, 0x2d5675f4,
+    0xc8a35aac, 0x0bd01139, 0x31e90650, 0xc8bc54a8, 0xaa4e7bfe, 0xec7486a6, 0xae8eeddb, 0xe9bb4484,
+    0xcfd05d26, 0x598f17e2, 0x6e0735ac, 0x2e7a3ad9, 0xc1c674d7, 0xf910134f, 0x480743d2, 0xc0ff21ec,
+    0x5b0a1ddd, 0x2f2dee0a, 0x58def679, 0x04618406, 0x73ffaed6, 0xec5eaa7d, 0xdcbc7fa4, 0xfb4f1846,
+    0x50a8db26, 0x2bca7a8b, 0xc30c344b, 0x0e074be3, 0x1c3188d7, 0xf3a70438, 0x031ea43d, 0x86eb9fa5,
+    0xc687f80b, 0xc3383117, 0xc7a63d35, 0x26e9ea19, 0x00d16d59, 0x763f738a, 0x149579cb, 0xa45abe06,
+    0x9e614fce, 0x3cc216cc, 0x5c6a22a4, 0xc3a1771b, 0x75732d32, 0xd131a242, 0x311d9eb1, 0xaae16cb5,
+    0xbea8a363, 0xa535e8ef, 0x6d9b8f0e, 0xd5e08ac6, 0x84ba731a, 0x70cad8e3, 0x2bf05364, 0xd2971b67,
+    0x62dc9a13, 0xe44d6a0a, 0xeda256f9, 0x5f9ceef9, 0x13111be0, 0x918278ef, 0x0ec42f60, 0x4999a134,
+    0xe54f91cc, 0xb42470d3, 0x70d663c2, 0x62de2e61, 0xad372266, 0xe7b3eea3, 0x02d3cbed, 0x32c23148,
+    0xbdfb15c8, 0x1f3ad365, 0x8858593a, 0x2f9b7d86, 0x5790f99f, 0x81779a59, 0x3f25eef5, 0x0f1d1943,
+    0x7348a6e9, 0xecf68a20, 0x352585db, 0xe4768eb7, 0x12c3a726, 0xc3e19179, 0xbf2f4cb6, 0xe14361aa,
+    0x5fc63cca, 0x1cf814a7, 0xaf7d59d2, 0xa49eab07, 0x56eaf293, 0x2b645c12, 0x7bc7e09e, 0xfd8c9cbd,
+    0x3994e3f9, 0xa90ceb37, 0xf2b770f9, 0xcdceae8c, 0x3794fb93, 0x76b2edcf, 0x5a9e758f, 0x8f95ff12,
+    0x00000000,
+    0x8a562dc8, 0x75403909, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000012855504354071922204335696738729300820177623950262342682411008 */
+  { 0x00000000,
+    0x74887080, 0x38ff1485, 0x1569aa06, 0xb376afa3, 0x334a44cb, 0x13f7230f, 0xae9bf6b4, 0xde06fff4,
+    0x2e4ccb74, 0x7b711103, 0xbf13dce9, 0x7a1033b4, 0x83d3f11b, 0x4106bd38, 0xd0785297, 0xe36e562b,
+    0xa40d7202, 0x58de92b2, 0xc1d70d23, 0x93aec93e, 0x424dd06c, 0x49ad92b4, 0xfe763631, 0x1577768c,
+    0x521465b3, 0x12758896, 0x94de1672, 0x9005978b, 0xea1a7bc6, 0x98d7d17b, 0xf43e43b0, 0xfcc8445d,
+    0x84e868a0, 0x113e3b3b, 0x43572f37, 0xaddd28f4, 0xed0e08a6, 0x00477259, 0x1bea5618, 0xac1d91ee,
+    0xbd8f631d, 0xbf41f0e7, 0x818720a3, 0xd52bb256, 0x06b9a479, 0xf42d83a3, 0x00707014, 0xd5f10d59,
+    0x456ed6b5, 0x7f9615ff, 0xa2b4bd9c, 0x4ee07311, 0xdcbaa4b4, 0x8b6a1cf7, 0xcc3f1813, 0x56bb0237,
+    0x9839c5c0, 0x4c382d74, 0x1a06d804, 0xd0a1e0ce, 0xb299900a, 0x3b171ebf, 0xf4e006d1, 0x1da8bfc7,
+    0x97d33ab0, 0xd53aa0b6, 0xe27146ba, 0x42ce1ab4, 0xd9dbec51, 0x8751060b, 0xa8ad9531, 0xa90eadb1,
+    0x479e13b6, 0x0597ac9d, 0x7ef389a9, 0x9ffb728b, 0x4cbbd3fe, 0xbef593e4, 0x881c9d9c, 0x03c1a8cf,
+    0xa404c8e7, 0x366cde60, 0x17781996, 0x45b4a4d8, 0x7d0a794d, 0x74a18d7d, 0x434cac75, 0x021fd839,
+    0xf3c107ce, 0xc2db583b, 0x71efc2a5, 0x38e25415, 0x08609242, 0xf93970d2, 0xd9e96252, 0x63f9cd78,
+    0x379fce2b, 0xa3a32979, 0x63d2812c, 0xee569c52, 0x3c3ef8ac, 0x876f4156, 0x9a4f30cd, 0x76b8be26,
+    0x55ed79f5, 0x19871e78, 0x7f9bbb4a, 0x28413c4b, 0xab7f16c0, 0x9ae06a04, 0x9fe69212, 0x9a7af558,
+    0x091b0dfc, 0xe66adcb3, 0xec5028d9, 0xd3aebf2e, 0x308a0850, 0x20baeedc, 0x02260eba, 0x2ec5faa5,
+    0xc0605da7, 0xf1f16707, 0xcb88ae48, 0x1607c2f3, 0x5f37de2a, 0xb9f893b0, 0x9d147562, 0x4af2d36e,
+    0xc1c3d8ac, 0x98773080, 0xc99235de, 0x5c8f3943, 0x34e8892e, 0x2cdca15f, 0xdd3a4d36, 0x7a01b699,
+    0xd5e783c2, 0xd5be807b, 0x9116b13b, 0xcf4f6d96, 0x99e87182, 0xe8c243e5, 0x53ebf58a, 0x2cac5fcd,
+    0xdfe604d8, 0x36ad57d5, 0x191f4d76, 0x0f315fd8, 0x4413e81b, 0xbbc49c07, 0xfdf8d0c0, 0xd2262743,
+    0xba79d662, 0x5e86a4ce, 0x0f6f15f1, 0x777323c8, 0xd063115b, 0x4f4519b1, 0xa6fb9d14, 0x6d775048,
+    0xf2a283bb, 0x58c35daf, 0xcc89a005, 0xb55c6fd7, 0x2e30996c, 0x538628dc, 0x928608f9, 0xe37a2331,
+    0x909f81bf, 0xa76ed644, 0xbdc329df, 0xd6e54ac5, 0x9a84cddc, 0x00747557, 0x97646338, 0x3510f763,
+    0xa73bdc29, 0x39eff744, 0x8a30e360, 0x46e04ce7, 0xf0333db4, 0x71a8ff40, 0x4592752c, 0x3d0b1e1d,
+    0x27a9624e, 0x4b67a5e9, 0xcb56126a, 0x2548e628, 0x835ea144, 0xac8c9224, 0x90e43f80, 0x0f0cd65e,
+    0x8616340b, 0x9ce07966, 0x9c2848b6, 0x52f525df, 0x7c20cfbb, 0x2aefd796, 0x56b7c12c, 0x31f6958b,
+    0x4eb839f8, 0xc5ee0a0c, 0xd8be8073, 0xeac7bd86, 0xca9b8d35, 0xfa547d3e, 0x21306e49, 0xacb9bbdb,
+    0x6df4d7e9, 0x36ebe468, 0x3f49cc8e, 0x5a60d84e, 0xf4efc4d0, 0xde5ca974, 0xa0cbb5a3, 0xfe785539,
+    0x89e3cbeb, 0xc4f80b5c, 0x04f2cbc5, 0x47941244, 0xa40568c0, 0xef7f31fa, 0x32e3a493, 0xbe71ff33,
+    0xd32d8349, 0x1e3b2a5d, 0xca107705, 0x3b4f0440, 0x6b141055, 0x3c032e0f, 0x4b451fcb, 0xccc7b7b8,
+    0x46ce9461, 0x88a3bea1, 0xac12ff48, 0xe2d861ee, 0x5bf280b0, 0x92ae143d, 0xed2ddde9, 0xbaadad06,
+    0x6fdba334, 0xe77a29a7, 0xef006237, 0x56b3001d, 0xd6422dbf, 0xc7ae2aad, 0x74edac7f, 0x4e50be10,
+    0x3e01a61d, 0xd16aa20e, 0x66377c66, 0xc1e709a0, 0xf494aec9, 0x270e8790, 0xe7bab114, 0xc5bbdb53,
+    0xc6d7584d, 0x82b47a93, 0x79957c91, 0x3e7f6747, 0xc5eae840, 0x942b34c3, 0x57ea28f0, 0x3cb4ff01,
+    0x931e87a7, 0x8e2f8cd9, 0x168c1ffb, 0x77f33e42, 0x9955b0dd, 0xf4147f59, 0xd8973438, 0x99c592bc,
+    0x247987be, 0xfe4a352a, 0xdc0978dd, 0x3c2ae75b, 0x137eb990, 0x58fff8e4, 0x7b9a0978, 0x20894029,
+    0xfb624f0d, 0xaf3a9902, 0x41522d87, 0x06be94eb, 0xe1dbf1d8, 0x34d438c2, 0xe2e34ddb, 0x1ca4a055,
+    0x63095f39, 0x2bc17629, 0x00577814, 0x3ca4d84e, 0xe498d805, 0x0412d463, 0x65df47d0, 0xb081272d,
+    0xaa9d14ff, 0xa2f658f2, 0x747221e4, 0xd7611ac1, 0x0fa7a485, 0xb6ca3ddb, 0x5b8459d4, 0xe791c376,
+    0xe37ab4d3, 0x57912742, 0x97c632b0, 0xcfab4c17, 0xe9e3d32c, 0xaddce71b, 0xf124a3af, 0xa6029dec,
+    0x0c3b4c20, 0xa68ad37c, 0xa2a26e42, 0x4359c279, 0xcf98754e, 0x7e724744, 0xa261715d, 0xc62fa2eb,
+    0x2e675d15, 0xff10f4bc, 0xad625b41, 0xfbf81f3a, 0xadd311e9, 0x3a3f0d7a, 0xfb793288, 0xa365f286,
+    0xedb9ce04, 0xc473d17f, 0x8312df9e, 0x4011cd84, 0x6e5f2002, 0x72debcf9, 0x3e7b5422, 0x3b42a888,
+    0x9a12bff3, 0x6af0c943, 0x6a741798, 0xbfd49303, 0x22d229b6, 0xa9c324b4, 0xee70a485, 0x178c91d6,
+    0x538024b0, 0xaad4e3ec, 0x1e31491f, 0x90e4ee34, 0x259702a9, 0x52aaf1d6, 0x790d310f, 0x4a9d70b3,
+    0x10a29fa0, 0xadfecd23, 0xc3493dc1, 0xfa8c413c, 0x8f905b06, 0xe912fa7f, 0x1d9d00a1, 0x751cba1a,
+    0xfb4258af, 0x45230aea, 0x3508e171, 0x1f37cdf1, 0xf3818f1d, 0xa46be27a, 0xf28d5a18, 0x4f1aeb6b,
+    0xdc1f981a, 0x8a23f5a4, 0x94763d3f, 0x1fc194f2, 0xc2165740, 0x47bfd5f1, 0x4902dbef, 0x2e16483c,
+    0x1bb3a0a1, 0x6f0db998, 0xbf4bddbb, 0x5c393ff5, 0x8dee7ef3, 0x3b17cba1, 0x85ffe91e, 0x5a25ab09,
+    0x770fbeb9, 0xa274722f, 0xdd625fca, 0xcab36686, 0x64525b27, 0xa75caa62, 0xc16353ac, 0x7b5bbca3,
+    0xeddbc245, 0xfba1b3af, 0x5f720551, 0xeef7ea1e, 0x1138b5a5, 0xc614256c, 0x4d5dded4, 0x08d37d6e,
+    0xf6b0fe05, 0x59bf0d5c, 0x5e2aa518, 0x66682307, 0x8b45f914, 0xb7085529, 0x44be2d3f, 0x73775e37,
+    0x8d16b1d9, 0x53541145, 0x2b826221, 0xa83c421e, 0x7046561d, 0x4981f776, 0x30a4429d, 0xf236641d,
+    0xe83e48a2, 0x63722ad2, 0x424ddcc4, 0xc4a8655f, 0xa349ed6b, 0x04f42cda, 0x7397357c, 0x1c8bed49,
+    0x1829f550, 0xdbb75f03, 0xec06a098, 0x6860a36b, 0x73de8672, 0xe2a01725, 0x9be43528, 0x576ccae4,
+    0x8622b04b, 0xd7bf359f, 0x36c907b4, 0xf40d28b8, 0xa3f93df6, 0xd123726e, 0xe3e3780e, 0x22c498dc,
+    0xc2e41b00, 0xc2dc85f7, 0x4c403408, 0xddcf1032, 0x73355280, 0x60235d3a, 0xecd76e73, 0xe6e076ec,
+    0x07ae14e9, 0xc030927b, 0x36031ce1, 0xbbfbca7b, 0x6307038d, 0x75619559, 0x6f4b912a, 0xf0e12a47,
+    0x3b5e06dd, 0x53e77455, 0xea2fffa6, 0xecdf2671, 0x095a1f8b, 0xa72d429e, 0xdbd5fd11, 0x025f501c,
+    0xfcf3534c, 0x81615a1b, 0xdf6b64e3, 0xe0d23c87, 0x5a5db869, 0x3224580e, 0xa0cdf886, 0x6138e0ac,
+    0x3e9d5f71, 0x01bd1139, 0xd90fcf8b, 0x386c28cd, 0xebfa8872, 0x9d8722e2, 0xe35b79b0, 0x4b5cb370,
+    0x2e1bfee8, 0xbdb04029, 0x8115ae5f, 0xf90a30db, 0xfb69f8a1, 0x4078f4bf, 0x9bf21a71, 0xb07373d3,
+    0xdd0e8cfc, 0x784a60d6, 0x356e9ef2, 0xb456bf92, 0xcf7f5753, 0x2bb5c209, 0xee62234e, 0x3114dfd7,
+    0x33beaeca, 0xcc7f598b, 0x6e4e6fe0, 0xc91c8ae0, 0x43426edb, 0x30a2baaf, 0x802f471a, 0xe2c62ed5,
+    0x42a1bbc9, 0x44ac6b98, 0x4e77f753, 0x7b3652ce, 0x25237831, 0xd0425123, 0x184d6f9e, 0x91cd9742,
+    0x7bcec65b, 0xaf1c6b07, 0x88c0a4d7, 0x2aeacdbd, 0xdf943290, 0xda33764e, 0x1692e5a3, 0xa15412ac,
+    0xb229bf5a, 0x906d8367, 0xc31ddffd, 0xfd0ff273, 0x357d19d8, 0x91385ff5, 0xa6b53604, 0x23724d9f,
+    0x38289b98, 0x0d1bb3ed, 0x1256e8cb, 0x6a97d71a, 0xb61ecc7b, 0x1946a9fd, 0x5017f616, 0xe4c73e65,
+    0xc0e89578, 0xb3d0f64c, 0x852c38e9, 0xbb014c3a, 0x17adcc26, 0xf38f05c7, 0x8439c33e, 0xc646ae53,
+    0x5204b708, 0xdfbea186, 0xffdf9df0, 0x252bdadd, 0xc3e1b4e9, 0xc55b00a9, 0x2ef954e0, 0xc18290ee,
+    0xbd205c1e, 0x8dc87e9e, 0x6a329117, 0xc9d35b85, 0x5bf37ac0, 0xded4f2b6, 0x8ead3dbb, 0x242077cf,
+    0x2a8daabd, 0xe42a0df4, 0x01d20f01, 0x729eb0ae, 0xefa31bfa, 0xe0ec10a3, 0x6530bbff, 0xa73f2fd0,
+    0x187ebf0c, 0x938a341c, 0x43162e13, 0x6bf2bf15, 0x7edc4b73, 0x0caabd26, 0x54740525, 0x55643c71,
+    0x48b15c14, 0x2af4975c, 0x80ff0205, 0x1e344870, 0xe0736754, 0x06cc9b13, 0xb6605a35, 0x1a02b03c,
+    0x116ba6f5, 0x4f946148, 0xb4889f49, 0x170c9ea9, 0x7d9ba018, 0xa7146a55, 0x1230a4e6, 0xfd415a2f,
+    0x19ce4eed, 0x97f7579f, 0x02a8ad28, 0x41f2660a, 0x80c55842, 0x1b6df5ca, 0xdd555a7b, 0x7ea09489,
+    0x841fa6e7, 0x859bd8da, 0x4c51fa7d, 0xb61594ae, 0x5286c4b9, 0x7ddf4949, 0x7b8a2253, 0x5ff45fba,
+    0xeac67454, 0xfb3b7d06, 0xb0d2ef15, 0x81f677f7, 0xb75b95ad, 0xa318c186, 0xb9eb5e83, 0x05047d99,
+    0x3090dcc9, 0xc6ea1007, 0x60955953, 0x5259de81, 0x47116107, 0x2b030b81, 0x8cfde3da, 0x7a224871,
+    0x22f7d23c, 0x58eaad03, 0x7808d20f, 0x37162abd, 0x135b8b99, 0x83c40ced, 0x909c5332, 0xb1deeadc,
+    0x464ddcff, 0xe0f7ade1, 0x56b6a436, 0x4ecf1daf, 0x3eef12c7, 0x0e9e1194, 0x94680e4b, 0x4a8cd8d7,
+    0x25b4ea40, 0x7bb5748b, 0xec99d8e0, 0xfa5d1231, 0x87e3de47, 0x78c34a9c, 0x701c150a, 0x497ce168,
+    0x51dbfb2b, 0x1d0e118b, 0xc5e6c77e, 0x16ae840d, 0x6240aba0, 0xad27a086, 0x925075bb, 0x7482acb9,
+    0x6370e89d, 0x50c395f6, 0x861d33ef, 0x77e45d12, 0xb06e237c, 0x81001f3e, 0x75c5709d, 0x14a65c30,
+    0xb761d2a4, 0x77c74446, 0x60688545, 0x8f16a7d2, 0xd05de88d, 0xb1aa0839, 0xaf37a3da, 0xc3f5e7e6,
+    0xdb091ad5, 0xd1b9f40e, 0x83de10ec, 0xc6727478, 0x8d2887bc, 0xa64dfbfc, 0xc06dba3e, 0xc86019cc,
+    0x20a0aeef, 0xc45233a2, 0xbaab3d69, 0x2a0cd6c0, 0x75b8af0d, 0xb2b54fca, 0xbdee5be7, 0xf9196185,
+    0x97ff319e, 0x6c8f3142, 0xbe0f9761, 0x418d1fc2, 0x578f4072, 0xef4429c0, 0xb44b9952, 0xc0e322fd,
+    0x5289c698, 0x9315102e, 0x1682ba40, 0xe8885be6, 0xe425397e, 0x63f27635, 0xd75ac137, 0x9ffd9c19,
+    0xc01677ec, 0xe41be727, 0x8b9d0554, 0x0375df68, 0x2656f252, 0x44a20dd8, 0x4748ddc8, 0x1fce9d1a,
+    0x8865d3d4, 0x12eab0d4, 0x6fe5a21a, 0x36ec4477, 0x0684a09a, 0x3b662948, 0xc50f3841, 0xac3d80d8,
+    0x680053de, 0x3a8a6c38, 0xc70b270a, 0x01e17717, 0x2796dbd6, 0xe098aac3, 0x632e846d, 0x16b88d64,
+    0x456e842b, 0x56e12580, 0xb3e6991d, 0xd4f973f8, 0x6a5bef39, 0x3e504b2b, 0x629e18f3, 0x029f641f,
+    0x7bad9d8f, 0xba8cceaf, 0x1bf83c4b, 0xa35c913c, 0xda8e6617, 0x3d3f3fae, 0xe5421062, 0xf800d5c1,
+    0x33b238b5, 0xc00db7cd, 0xdb3068a3, 0x66420fb1, 0x9519f0f4, 0xf2cf9f78, 0x80391a41, 0xc450cacc,
+    0x5c739c4f, 0x783055f3, 0x38cfd91d, 0x1cb74eb0, 0xa4dd719e, 0xcd4ac81f, 0x6db0b54b, 0x85e44edd,
+    0x12d44999, 0xc3984f8b, 0x1ba6f162, 0xc2f5ee98, 0x0647ea58, 0x7a87329d, 0xafb6f001, 0x677a95ab,
+    0x90a13707, 0x4938c8a3, 0x346dfbc6, 0x95b08672, 0xc316bce2, 0xdfff06c1, 0x17c3bda4, 0x16efe4b7,
+    0x68b68aee, 0x5cef8369, 0xfbd9ce6d, 0xe9dd2259, 0x3dd6ed5f, 0x2d14465d, 0x3712513c, 0x1c74de6a,
+    0xaf995f3a, 0x5776f1fe, 0x8c93fab5, 0xb143965d, 0xce3b6495, 0x67a7a1f1, 0x27d14b13, 0x4acc1083,
+    0x365d4459, 0xb10000f8, 0x86319bda, 0xdf4888f6, 0x08607eea, 0x7ac0a716, 0x0c2edc63, 0xcc2b313b,
+    0x4cdefbb5, 0xd5baaefa, 0x1e5b2589, 0x7f590ff8, 0xb97cd734, 0xc49f5878, 0xfcaf255f, 0x6d106878,
+    0x3fd1c9cd, 0x2b00756f, 0x68f4e2fb, 0xfe849bee, 0x617e10b8, 0xc94f8369, 0x85d17585, 0xda74856c,
+    0x44b22e03, 0x87e6307b, 0x22c3f315, 0xbfbde106, 0xefec7213, 0x3e335ae2, 0x044657d0, 0x3a6838af,
+    0x25b25124, 0x33dee20e, 0x02810b46, 0x6d221fa2, 0xf5558783, 0x2e3ef69a, 0x7f1655e4, 0xa481d4ad,
+    0x39afda52, 0xa22e2bb1, 0xf34e143c, 0x84c57312, 0xd99c006e, 0x2973c7e1, 0x070348b1, 0x2d5c7705,
+    0xa25d5e6b, 0x6394ef2f, 0xfb910ffa, 0x061175b4, 0x17e0acc1, 0xe7938eb4, 0x53aac917, 0x3e9649ce,
+    0x2ac9b515, 0x34a7466d, 0xb567d60a, 0x0d5f841c, 0x2db4f5a5, 0xd9a6e5a6, 0xa854f4cd, 0xa601ae91,
+    0xa962d1a7, 0xa9f039fa, 0xb175b14d, 0xa7f8d962, 0x555e555c, 0xe323bd91, 0x5ecb2b40, 0xe0890b66,
+    0x29dea371, 0x3198df1a, 0x8c4da4bb, 0x177ddc10, 0x6f17742b, 0x00f887f0, 0x6f021ba4, 0xb2b74077,
+    0xc63e4c27, 0xe7020db1, 0xe44ba184, 0x0aaee62c, 0x712c7e7d, 0x009a0bf2, 0xb88bc94f, 0xa719423e,
+    0x477bdf95, 0x56435f0d, 0xfc494320, 0xd01d5437, 0x158e44ef, 0x58b961be, 0x080ce001, 0xe41afb91,
+    0xf5c2f78c, 0x87fa2f27, 0x85f09c3b, 0x88aa65b4, 0xe83b0021, 0x0b4e1efa, 0xfab5865c, 0x9dbf8443,
+    0xfeadd48a, 0xac9aa5ba, 0xab4feaf0, 0xf110ff03, 0xe1f4d321, 0x9d2c1052, 0x9ba0198d, 0x3f28d26b,
+    0x8862821f, 0x2085f59d, 0xd2b58b7f, 0xd17a7e78, 0x501066b5, 0x3cbd6b5b, 0xfd2947b9, 0x5973fe7a,
+    0x3e55aaa6, 0x645460ba, 0xc98fdb40, 0x654396a5, 0xb20c36f1, 0xdd5e0e7c, 0x11ee5162, 0x0ba401d1,
+    0xeb707831, 0xdf2dd772, 0x9c461e1f, 0x5b355951, 0x17fdb0d3, 0x8f385b70, 0xe24548be, 0xf6432d61,
+    0x70eb5af4, 0x89ee6aa7, 0xc2fc4fac, 0x96ca21e6, 0xf147dbc1, 0x13454b32, 0xdfacab13, 0x349e62c4,
+    0xc8f92743, 0x8e1652de, 0x4dc5d937, 0xe5f35889, 0x67fb8ef5, 0xf0381a0f, 0xe7a2e6bf, 0xb266123e,
+    0xd7010ae4, 0x8a2480ae, 0x04407ee0, 0x6e2ebd8d, 0xd8655b4b, 0x9bcc17a4, 0xb8013ff7, 0xadb4ac76,
+    0xadc0ea75, 0x145f5637, 0x96b64726, 0xd0d19956, 0xbb481235, 0x24174f77, 0x8264e1c5, 0x3488f9c8,
+    0xe89d4f0d, 0xab1240fd, 0x9124336e, 0xba573d4c, 0x70fd0747, 0x5196c232, 0x9d7e473d, 0x877e0dfd,
+    0x12dac288, 0xab5ea000, 0x6b1781ae, 0xc676c900, 0x249d5751, 0xa1dd57bf, 0xbac8b5be, 0xb2639fd3,
+    0x740e9db1, 0x9f8c9174, 0x683cd780, 0x44c5d92f, 0xed24165e, 0x968180a3, 0xf7712036, 0x821608e8,
+    0xa2c8f6ad, 0xddc037b6, 0xe3f79d42, 0x1142ba88, 0x0d929ef3, 0xf75993bf, 0x35613863, 0x249a9a81,
+    0x58512db8, 0xfb123040, 0x33dedd1a, 0x5aed8850, 0x2eed2db0, 0x06b73fb1, 0xa0c6be70, 0xfa8db80b,
+    0x0dcd729d, 0x31b977f8, 0x5a651b80, 0xc4914808, 0xccd4d6ed, 0x656ad356, 0xb1b3b1ce, 0xbfb947b0,
+    0x00000000,
+    0xc52b16e3, 0x3aa01c84, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000006427752177035961102167848369364650410088811975131171341205504 */
+  { 0x00000000,
+    0xcc5074f5, 0x1b25af5c, 0xb1eb6cf7, 0x180735b5, 0x5dc7c94a, 0x49306fa1, 0x776d3dca, 0x6802c836,
+    0xf8d53341, 0x845a36ab, 0x2b30cb06, 0x56ff682d, 0xe490e739, 0x675e89bc, 0x82197555, 0xf9c653c8,
+    0x5864784a, 0x004659c7, 0xa1010b15, 0x743619b0, 0x28d4b729, 0x50375126, 0x043fdb83, 0x10385afa,
+    0x50ade22b, 0x03453df9, 0x39322f92, 0xaa779030, 0xfa6545d9, 0x4eb06992, 0xde9c0b96, 0x9b7d6eb9,
+    0xb76d9245, 0x8adb6588, 0x8bf39182, 0x4229c015, 0x6e59b42d, 0x74275d14, 0x9d009bdf, 0xe64679f3,
+    0x11e6feb1, 0xa69f345b, 0x74103343, 0x47cd7e6a, 0x804000a7, 0x372b4803, 0xa695a747, 0xe5e2a5d2,
+    0x69eba69f, 0xf7f1a6ee, 0x1bf5803b, 0x3a9506ce, 0x9670d0fd, 0x0f657192, 0xb6271660, 0x0a65bc02,
+    0x09ccedbf, 0xa7312c43, 0x0690d7e7, 0x2d6fba51, 0x2a5ccbfa, 0x518c892d, 0xb6f471dd, 0x6f333ded,
+    0xc4398880, 0x177a9568, 0xd49c499f, 0x29d8389f, 0xf603d2c2, 0xd89d90c6, 0xb942ec56, 0x5a689f5c,
+    0x131e944b, 0xcc6dd624, 0x379ef8f2, 0x979a65f9, 0x8672af68, 0x3f452a44, 0xf35776c2, 0x121f6c87,
+    0x30cdaea9, 0x93856cc0, 0x95b7b1f1, 0x76ef3f8d, 0xd3a26b7e, 0x92c9eefa, 0x46ed3540, 0x8ec30661,
+    0x40931e3b, 0x28a808dc, 0xb98077d8, 0xced59e02, 0x39693364, 0xf37d629c, 0x885f9fc1, 0x1f90e247,
+    0x2e8850ae, 0x360cfa38, 0x24f94931, 0x15653540, 0xac0e39e1, 0xb17c41ad, 0xe589df52, 0x1f522387,
+    0xe10be0d0, 0xf42cc0ce, 0x5b771d00, 0x81036574, 0x8d514645, 0xa765a4cb, 0x72cf0328, 0xb1431091,
+    0xc552e541, 0xf6b8b184, 0x81f6a7ae, 0x4ec3e7c6, 0xa6ac895e, 0xc062c889, 0xb0f37a44, 0x9cb32880,
+    0xab92f6bf, 0x5c05db46, 0xcbeaf0c8, 0x9f7b7467, 0x73126be2, 0x916c7315, 0xde957b92, 0x41d47916,
+    0x1c4c6e25, 0x04b8f01d, 0x50bb91aa, 0xa663c40a, 0xea08dd59, 0xbfa10356, 0xf4e6a720, 0x37226815,
+    0xfc38c1eb, 0xe130ccbc, 0x99b38717, 0xc1e0a5f1, 0x717957de, 0xe6b436c2, 0x8aea457e, 0xbbd07144,
+    0x773b7b09, 0x7df660a0, 0xd9d0112a, 0x2744f0ff, 0xfa6c3dae, 0x4df19b1f, 0x48232599, 0xbe5365f0,
+    0xc3604835, 0x65f43f50, 0xc9be61e9, 0x0287b9da, 0x3aecf5dc, 0x6515f649, 0x667bb59a, 0xb45fb674,
+    0x2c5c9388, 0xe6b7470a, 0x2c552db7, 0xad8a52a0, 0x8fe4550b, 0x7c546d41, 0xc672841d, 0xa8e2f769,
+    0x0dddeb0e, 0xd78d2537, 0x8f187bd4, 0x57f8491f, 0xb238fa04, 0x4570f12e, 0x90013497, 0x6d141d36,
+    0xa08ca6e7, 0xc3e4aa30, 0x30b55bf6, 0x1962a288, 0xeb2bd968, 0xb21d3eef, 0xca802706, 0x2ff690a2,
+    0x6449a65c, 0x14ca76bf, 0xc9852777, 0x6ba6bb05, 0x5df7aa3c, 0xdcadabff, 0xdcf0a797, 0xcaaa8ab5,
+    0x755ccaae, 0xc7507e47, 0x172ec0ce, 0xbacf539c, 0xf59ee0c6, 0xfaeca376, 0x78199b94, 0x222994a3,
+    0xa9e2ffc7, 0x5db4e776, 0xb5868bc8, 0xe1d4358b, 0x0a1399e6, 0xfad228b4, 0x99913c64, 0xb3a81a91,
+    0x29f26e2e, 0x6d590b44, 0x5701e02b, 0x7606c48d, 0x05b18823, 0x80357b55, 0x0015af9a, 0x4c17a55e,
+    0xdde4d780, 0xed21697c, 0x8109474b, 0x3d26959c, 0x96bb1217, 0xb2b5de31, 0x401fdd36, 0xb8f84253,
+    0x232ebf51, 0xe2363e8d, 0xcca8bc82, 0x736e5438, 0xee7055ef, 0x90f3e0e6, 0x2fc08d36, 0x14df154f,
+    0x2f84ea25, 0x5104a1f7, 0xf5f1ed85, 0xd695bcd7, 0x260405a4, 0x93bbbe3f, 0xe9dbfb70, 0x33dee169,
+    0x78e7f826, 0xd6d4852d, 0xc629dd91, 0x9b508c46, 0x0f98df7d, 0x01cba2e7, 0xb715fcfa, 0xa7819457,
+    0xfeab3ce7, 0x29b017d6, 0x1c57d7cc, 0xcc766da7, 0xe825e44d, 0x172e17a9, 0xe03880ed, 0x8c257bb2,
+    0x28764dc9, 0xe76e95ce, 0x3e601cc5, 0xeca8534b, 0x1cd753f7, 0x9ce43d4a, 0x07602c01, 0xd4e75cc9,
+    0xd4195e34, 0x7ebb22e9, 0xd358eb5d, 0x857d4071, 0xe899a971, 0x7d9c4d8c, 0x231c2939, 0x86538e88,
+    0x113e804a, 0x720031e6, 0xd6b4e2f4, 0xa371691c, 0x5653ad3f, 0x52be6e89, 0x000ae20c, 0x2faa3bb2,
+    0x590e23fe, 0x8ce304c6, 0x6ffb0a00, 0x3e4002d9, 0x574b43ec, 0x492f5910, 0x6c78850b, 0xe5d6a3f4,
+    0xbdaa9a31, 0x0ad100ef, 0xce0b6565, 0xfb9e18a0, 0xc223072b, 0x054bcc38, 0x66851596, 0x8af27563,
+    0xd2d29616, 0x6d3c8aa1, 0x069259e0, 0x0d301e44, 0x4e15136f, 0xfd43f76d, 0x5e29a56c, 0x752b5a7b,
+    0x1ae03600, 0xb347f5f1, 0xe851e344, 0xaeb1be60, 0xfcf0d103, 0x8b70bcf6, 0x84f0340b, 0x0b1a8d5e,
+    0xbc59faf6, 0x54c8f0e1, 0x1e4eaee3, 0xb370f726, 0x7bc5be5c, 0x763ad54f, 0x7e15b341, 0x64a853d5,
+    0x29776ac6, 0x3a2f6f2e, 0x7271fea1, 0xb52730ea, 0xd569201c, 0x8c427127, 0x39fdd2f2, 0x2c9cb768,
+    0x4c271fac, 0xa13d9ff9, 0x0d8f0504, 0x3268fb19, 0xba4eade1, 0x96090133, 0xb55b2fc4, 0xc6058514,
+    0xc0c81a83, 0x4f5f6508, 0xf9ec47bd, 0x50c9ef65, 0x00e94235, 0x63fe7796, 0x548d9b43, 0xc6707e11,
+    0xfcce4404, 0x6560e8b4, 0xc4d11c08, 0x6dd0230e, 0xf2d99360, 0xfd822d4b, 0x690c2bfa, 0xe526f656,
+    0x3126b8d4, 0x885c958b, 0xb34e7631, 0x4507ac29, 0xb52beb50, 0xfa018389, 0x33cc2824, 0xfe7af554,
+    0x5b59a965, 0x08270550, 0x2a657dc9, 0x200466f0, 0xdb2d5b23, 0x4820fafb, 0xc75b6f42, 0x486fa2bb,
+    0x1744993a, 0xff790101, 0x05494644, 0x97736691, 0x36a64fd7, 0xc942aac3, 0xf15752fc, 0xf64bea07,
+    0x86fe08f2, 0x978b480c, 0x9d667133, 0x559a9d96, 0xb6830c8a, 0xe8656cf8, 0xc4d8f87e, 0xce79eac7,
+    0xed44cf7d, 0x75b90f40, 0x378f7044, 0xac890bae, 0x0021101a, 0xf6ed5eed, 0x2533106a, 0xd08a33c6,
+    0x284a5c68, 0xd9556328, 0xf12bc579, 0xd3df58e7, 0xc63b3ce0, 0x2f046183, 0xc888f831, 0x9403d93e,
+    0x73c4a715, 0x8c3c8688, 0x8ad0ecb0, 0x94ce3928, 0xf12e53f7, 0x58b0f7b6, 0x471cdb98, 0xc2c796fe,
+    0xf70270d5, 0x265b26dc, 0x796abc15, 0x09b6b105, 0x081fc2c0, 0x6c4d7d85, 0xb2e52c51, 0xba4653c1,
+    0x3f2abe3b, 0x5cd37f7e, 0x7db5f348, 0x0c3dd825, 0xe5409f8b, 0xb9377453, 0xbfdb7b8c, 0xe1476272,
+    0xda3168a9, 0x6a963426, 0xa577288e, 0x4fc63aad, 0xd6b24d08, 0x7ff3cbf9, 0x1faa1dc5, 0xcc26950c,
+    0x16f95303, 0xeb1723ca, 0xa6784324, 0xc7cc0645, 0x30814544, 0x66d35f7e, 0x22306ee3, 0x074a8cdf,
+    0x7c105249, 0xdfd8c850, 0x9c209ef0, 0xbf13d95b, 0x8df94653, 0x86265ac3, 0x43cd1658, 0xcea0a268,
+    0x9e78d5fc, 0xffef9c81, 0x7906ceaa, 0x3f1b5f09, 0x0aac7cff, 0xa45ac994, 0xb230382b, 0x5117b1f4,
+    0x3a042c88, 0xf342a7e2, 0x1e87407c, 0xfac41d5e, 0x38e54232, 0xa72718eb, 0xd80784a1, 0x90717535,
+    0xc73f2ba3, 0xe038abc6, 0xe45c3f45, 0x58abf309, 0x5c874b5b, 0xec28948c, 0x697cf14d, 0xa4cb7875,
+    0x32ee28f8, 0xe8195f60, 0xf2353934, 0x83b15aa4, 0x016c9ac7, 0x0a811709, 0x7b810880, 0x02b489b1,
+    0xc1cf1018, 0x658ecc33, 0x7f0fd7ef, 0xdea714ef, 0xafd253e7, 0xc1505ecb, 0x94e74eb1, 0x21f84a7f,
+    0x0d79186e, 0xf41de7fa, 0x394a7195, 0x4ad2a6d6, 0xe5664b3d, 0x38340d9d, 0xaea73c79, 0x3a4d7a24,
+    0x44a42601, 0xf50432e9, 0x5dc86e71, 0xe5d38927, 0xa85e362b, 0xad0aecd5, 0xf003f448, 0xb736af19,
+    0x6961518f, 0xd2efc8d2, 0x7d385f48, 0xe2dd7e14, 0x035578df, 0xd0b0506f, 0x713b1d86, 0xa514e46a,
+    0xad3fefc4, 0xb065790b, 0x02224b28, 0x35f5946b, 0x1f83489e, 0x7ed79588, 0x03418465, 0xb49d2e1a,
+    0x0c8ea896, 0xefd45244, 0x96bbb107, 0xed50f8c5, 0xd58a35bd, 0x156c6fcf, 0x0000a104, 0x8018da26,
+    0x1e7aa27b, 0x4e0e7b47, 0x76cb68b5, 0x69672f5e, 0x8992298d, 0x694f6f26, 0x8e893e8d, 0xb4689868,
+    0x03e30ffa, 0xe897f690, 0x1e04991b, 0x412cebf7, 0x8171b475, 0xfb168a23, 0x971e5d31, 0x99835429,
+    0xc8ce696a, 0xba00956c, 0x5dde314a, 0xcde04e58, 0x6ad94fa8, 0x206494ae, 0x88c2c44f, 0x86d87fc2,
+    0x22cf0d56, 0x0b46e992, 0x36d71e30, 0x23598fe9, 0xf20c929d, 0x91f2eab4, 0xaf997110, 0xdc24c682,
+    0x5c1d3b07, 0x3e079783, 0x155af695, 0x2dbebca2, 0x7263a777, 0x3c6dd50d, 0xee7f4be2, 0x928e4b36,
+    0xdc0b23ff, 0xc68e873d, 0x6285ca97, 0xa6425f12, 0xf6a369ff, 0x94f8b474, 0x76ecd787, 0xa8e41e2c,
+    0x8b1a967d, 0x136b3fce, 0xb1c2c699, 0xd33d5239, 0x994954e8, 0x96893c60, 0xcdb286eb, 0xcf6bf53c,
+    0x18539275, 0xa7370fc3, 0xbae5ba25, 0xdf1ba589, 0xa6875255, 0xa4d15b74, 0x9c5c77d2, 0x29058a6d,
+    0xbe2ea9f8, 0xc6d81369, 0xd8bfd66b, 0x955be031, 0x766091dc, 0x4ee85227, 0x32e88be7, 0xee2302ae,
+    0x737b56d5, 0x42bb9c37, 0xdd465ecf, 0xa08b7714, 0xad2373a2, 0x070afce3, 0xe5000c90, 0x9d46b53d,
+    0x0a994547, 0xa39809ad, 0x01bffb35, 0x204687bd, 0x2c85655f, 0xfe54bb07, 0xfaff7811, 0x932c274d,
+    0x6fa8a053, 0x19fa28d7, 0x12be5fb2, 0x4c766e50, 0x275db7ea, 0x7e19618a, 0xcb473386, 0x189babf7,
+    0xe2d01202, 0x83680113, 0xc94d0f59, 0x6007251c, 0xfed8b6a9, 0xf64f4c64, 0xb4d356ae, 0x43b1b3bf,
+    0x6a6f6c7a, 0xb1eabea0, 0x581bf925, 0x0a3d48bd, 0xfa9d9fa8, 0xf7849789, 0x714abd65, 0xab623f28,
+    0xc095ec4a, 0x10a55633, 0x2f6845ae, 0xdca13360, 0x9d9255e6, 0xee6c219d, 0x34f5c669, 0x9254ef5b,
+    0x72c96b02, 0xc2690c0c, 0x9c88fc87, 0xbb98787c, 0x16a75841, 0x6f359fc4, 0xdec73121, 0xaf6a5290,
+    0x8da1cb71, 0x969cef5d, 0xee21df05, 0xb600cb48, 0x2584e661, 0x6d3d84e6, 0x644aeeca, 0x690bedda,
+    0xac79f418, 0x590b56f4, 0xbcf5ca16, 0xb31850bb, 0x6ff0a4cb, 0x8df96764, 0x5f597c98, 0x59594f8f,
+    0x928a0e08, 0x595c5801, 0x41be8062, 0x6eb41bcf, 0x4b7d429e, 0xd37e7a5a, 0xa5b191e4, 0xcdeacd37,
+    0x3702bb7a, 0x53b30778, 0x679560ce, 0x7c493601, 0x7b9edd99, 0x66a0750a, 0xa0fa332c, 0xf8e3d804,
+    0x0aaebf70, 0x44c83735, 0x2d68398a, 0xd1f57194, 0x57d14c02, 0x43e44b86, 0xef180775, 0xec42b4d2,
+    0x03734fb4, 0xb3735ab0, 0x38c1594f, 0x3a5b73f9, 0x1a1602b2, 0x2ea2636b, 0xe8cbae23, 0xc18455e0,
+    0xec557876, 0x4f7cdcf5, 0xd699ac3e, 0xeb97bebe, 0x8a10e338, 0xb3ee6f7a, 0xa5977e32, 0x1650e6c7,
+    0x1a1c5a27, 0x8381fbb0, 0x78e12115, 0x96a889f2, 0x554f92b6, 0x29b78dca, 0x7cc3a8b7, 0xdc4f64e7,
+    0x5edd02e2, 0xf5df2651, 0x7440f2bd, 0xcfa0420a, 0xc18a0f2e, 0x7c8e8e23, 0xdf0352fc, 0xed1fa103,
+    0xee90968e, 0x3dfba0ee, 0x41214bb3, 0x795743a1, 0xb9d1c022, 0x1e0c60d6, 0xce100cf9, 0x2e1b8b03,
+    0xb79ad175, 0x6cf62eb3, 0xabde0fc1, 0xd935900c, 0x6dca3a5e, 0xfab8714e, 0x3208bdcb, 0x1b3f36ea,
+    0xa9093783, 0x2228b80e, 0xe9c9876d, 0xefe84efe, 0xfd365f84, 0x957abe88, 0x1e0b2bb1, 0x05e86aa3,
+    0xd25cb969, 0x32fab1f0, 0xe6ed7afe, 0xf99c606b, 0x2821369a, 0x84b67473, 0x7dab13dd, 0x16b7b0ed,
+    0x42289a24, 0xa3981225, 0xbfd04a4d, 0xf9e5f8d1, 0xff19483a, 0x0e9a7ebe, 0xd5a55d46, 0x84fb2fcf,
+    0x8395b8c3, 0x61fd0191, 0x37bbc38b, 0xa22bc166, 0x9948cef4, 0x4317a4e9, 0x595979b5, 0xe52d6f0f,
+    0x35f781b0, 0x8d0946c1, 0xeed0dc1e, 0x3a26f3a3, 0x8d253408, 0x863c3037, 0x7f04c549, 0x6c62985d,
+    0xafcf25fc, 0x612a4439, 0xe416f5dc, 0x7a735759, 0x1b78d848, 0xfd632f28, 0x80493d47, 0xccbbbf43,
+    0x594b9d3c, 0xa3ac1d62, 0x64b42816, 0x15e559f2, 0x145d8b54, 0x1ec0570f, 0x62881771, 0x8c7dca1a,
+    0x1fa41c4d, 0x24c5f36a, 0xade6cae8, 0x7bf6fdb1, 0x709bd3e4, 0x09b97c6f, 0x31692548, 0x437a3bcf,
+    0xb0021b39, 0x15cbfab8, 0x4c8d39ef, 0x481374d3, 0x61304fe9, 0xe82c5790, 0xfbe53a73, 0xf4e9f3ad,
+    0x14ce05bc, 0xae3e1b84, 0x8fcc6edc, 0x37feced4, 0x4f006ba8, 0xe7e6fc61, 0xf8fff14b, 0x9602f50c,
+    0x42ac9932, 0xc282912b, 0xc0b82962, 0x5da2d284, 0xc0f95532, 0x60a27010, 0x7581444a, 0x0900bb30,
+    0x860703f8, 0x40461452, 0xdd22f8cc, 0xaade0f9e, 0x09f7bad0, 0xa2a672c6, 0xb28a734a, 0xe5309932,
+    0x5204d182, 0x596c80f3, 0x5002e40c, 0x1af26d54, 0x8934d4a5, 0xe59d3c82, 0x7ff8d1db, 0x65e479ac,
+    0xbd1e357c, 0x7d567788, 0x4b39a3fc, 0xdb284719, 0x9a08ce4d, 0x5f78ca9d, 0xa6e25336, 0xaf5f371f,
+    0x9733bff3, 0xd77099ad, 0xfc68ddda, 0xf1be62e8, 0x0c4138c4, 0x8ea06451, 0xf513e368, 0x545eeb71,
+    0xe84e8cff, 0xaa9487a8, 0x139760d9, 0xbe718ed7, 0x8986db57, 0x034c8370, 0x9eb1efab, 0xf220ec14,
+    0x5fab8969, 0xe6e97453, 0x2c8f69a1, 0x7893c30f, 0xda98190f, 0xed06d649, 0x70f70f37, 0x1c5d772c,
+    0xe1f3abbb, 0x2fe32148, 0x4588031b, 0x85d51430, 0x50b90a01, 0xa3951d8d, 0x38a5e925, 0x28dc4992,
+    0x35b4bcd1, 0xc1622dc7, 0x253b884f, 0x76282034, 0xf2158e7b, 0x7c32bdc9, 0x354f4c14, 0xf4d22efa,
+    0x84ee3371, 0x1b5bb440, 0xb301296f, 0x8e2e70c9, 0x6a9eec45, 0xdc4067f4, 0xc50321f0, 0xaa3423af,
+    0xf2f2aa72, 0x10f032cc, 0x68bca6f1, 0x5e4a579e, 0xb64fdc40, 0x0a9011b3, 0xb05b3395, 0x6ab60e67,
+    0x7f6f9e90, 0x6ec0ae14, 0xd8e71661, 0x66e7429a, 0xffb37f17, 0xe2f0b9e8, 0x8b4629de, 0x14b1026e,
+    0xf612a0f6, 0x283b6abf, 0xd980d551, 0x5fefacbc, 0xc925fe91, 0x198de2a0, 0xcb3b288c, 0x43234272,
+    0xa7ca6076, 0xb2bb63cc, 0x8e40e537, 0x835edbf5, 0x6705e0b8, 0x1b6d0f0b, 0x99871642, 0xedf80dc7,
+    0xac3bec3e, 0x7fc12508, 0x4bee321b, 0x9f12e2c1, 0xae215d7c, 0x8b171676, 0x5f126199, 0x43dce351,
+    0xfae71ce7, 0x58a9686b, 0x31b1fa39, 0xc0394efa, 0x084e0e0d, 0xd3579d9f, 0xb89b51a7, 0x8c17d136,
+    0xb7431bc6, 0x79d58cfc, 0x779ab24e, 0x6de26ca2, 0x646fd306, 0x2689d7e3, 0xbdcffd9c, 0xae79b1dc,
+    0x2cffe14d, 0x45201e60, 0x58173c89, 0x8a82cfed, 0xebdf267d, 0xde9a228a, 0xdeb5a742, 0xf7d69a63,
+    0x2ea68bc1, 0xc0da3619, 0x09c1f0c9, 0x1a810010, 0x3c1f8403, 0x08cc00ad, 0xf0bd7045, 0x6d9df996,
+    0xe8333e9d, 0x24149bfc, 0x80740745, 0x7fe69c00, 0xb3af253e, 0xe3dbc5e8, 0xac04e7d0, 0xf503c3ed,
+    0x172f75e7, 0x306c8972, 0xb5035b29, 0xebff1eeb, 0xde3c7576, 0x2fbf4c72, 0x0e081a09, 0x7cc02cca,
+    0x424ff8b8, 0x955d351c, 0x989ab790, 0x79f2a095, 0x23a2428b, 0xe9155ffa, 0x7b32bb6d, 0xc779a93e,
+    0x2ed3e8b6, 0xab9a4f9f, 0xe3dbeb6c, 0x41370bb0, 0x75f19c50, 0x28bbdb85, 0x80590af7, 0x9ca78ee9,
+    0x00000000,
+    0x62958b71, 0x9d500e42, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000003213876088517980551083924184682325205044405987565585670602752 */
+  { 0x00000000,
+    0xbcceba2e, 0x87a1c801, 0x3f40570b, 0xde79caf6, 0x24bc6ade, 0xbefd3cdc, 0xc5b2b161, 0xb788437c,
+    0xee143d18, 0xae9773d4, 0xdc4a53e5, 0xe3850c96, 0x95ecb5eb, 0xefd9da4d, 0x9e95ac40, 0xec5a16f1,
+    0x33cac2ee, 0xf63d00bd, 0xce9af293, 0xd499f3a8, 0xfeb6d395, 0x614e03b1, 0x342e12df, 0x5e3bfce1,
+    0x0c88ebe0, 0x156f9593, 0x729ae7fd, 0x6317643f, 0xf88caccf, 0x52ff7c92, 0x77492c5a, 0x8a6dc880,
+    0x518bc981, 0x731dd8d0, 0x3d987185, 0x7ecdd9f5, 0x78e3c6eb, 0x641c606a, 0xde5dbb3b, 0x815fdfa3,
+    0x2d5bda23, 0x085d8f23, 0x4bbadb95, 0xa3995a09, 0xd765b427, 0x5333812c, 0xad4821d9, 0x7c77babd,
+    0x1ab2a67b, 0xce43520c, 0x8a8e5dda, 0x71e63bce, 0x06b08fcb, 0x0cfac132, 0x728609b9, 0xa22b7a1e,
+    0x48648b62, 0xce179fc1, 0x7d32d979, 0x1e2bf28e, 0x89f861cb, 0x06312ccb, 0xa4d2a7f6, 0xc3409e62,
+    0x89f30dc5, 0x0c757df1, 0x7846aacf, 0x150e1743, 0xb19725a6, 0x4419c857, 0xae961d0a, 0x0e4c024c,
+    0x3bb69072, 0x61ee9972, 0x09caf254, 0x0751d1a1, 0x9d5758ff, 0x4556d11c, 0x58c3f108, 0x57904d89,
+    0xd9216070, 0x4289250a, 0x3d09fa07, 0xd943e0e0, 0x008a112a, 0x394ee855, 0x6273c502, 0x835bb633,
+    0x58454761, 0xe488852f, 0x2605754b, 0x5071a759, 0xb548a259, 0x0e1d2109, 0x42ef7d54, 0x1ef5d31e,
+    0xbdd2a954, 0x387d9585, 0x81fe3cbc, 0xe4ce9b59, 0x759f6f1e, 0xa205fa48, 0xe07c0b90, 0xafb25383,
+    0x391f1bd4, 0x712fe257, 0x5f065f1b, 0x1684e9c7, 0x54e36666, 0x39fef83d, 0xfec0f23d, 0x5b9f66c5,
+    0x6312c006, 0xe80d6684, 0xa6513aa2, 0x8fc78d32, 0x06c363ac, 0x1f9e9cc6, 0x64d3b887, 0xcba38a78,
+    0xa94b7d25, 0x2f841943, 0x92411900, 0x50a47218, 0x76bc4e8b, 0xb0033332, 0xdf00fae9, 0xc56502c4,
+    0x4c45d437, 0xac6bff7a, 0x05cfc5e1, 0xa7bfa2c4, 0x718083cf, 0x8d702adf, 0xddbaf40b, 0xbb10f080,
+    0x45e840cb, 0x1333ddf6, 0x9c43130a, 0x13b8892c, 0xf8fdff15, 0x2cb55ea4, 0xe7bb1550, 0x68d38ccc,
+    0x55b06615, 0x6e7c2d66, 0x27529cb4, 0x32284565, 0xa93109bf, 0xa65cfbf8, 0xf22e0488, 0x7d6b9c76,
+    0xcacb7bd7, 0x2fbd79be, 0x488c66a7, 0x9a809f69, 0x475b3d33, 0xbafb57a7, 0x41e28de5, 0x71cb4fb8,
+    0x6127ffde, 0x44cb6783, 0x18e2105e, 0xe836d2d7, 0xaef1b891, 0xfac68958, 0x0c357fe9, 0xf144d14f,
+    0x57311604, 0x3dba38a3, 0x38a4b3a3, 0xdccefc10, 0x7beb6037, 0x61d311d2, 0x553a60db, 0x9f4c270a,
+    0x42ce4ae8, 0x6009201d, 0xd6b1c11d, 0x0ef40851, 0xb423c023, 0x94cb80e0, 0x332c0a43, 0x77d510a6,
+    0xec8d7c5e, 0xa0fc5d23, 0x1a3effb8, 0xb89519ac, 0x258500e8, 0xe4fca44c, 0x67a52c9b, 0x68a52880,
+    0x55009443, 0x921d7a8d, 0x0255222c, 0xca7a914f, 0xd43ef3df, 0x3aec4adb, 0x78d67d5e, 0xf19565ae,
+    0xf3bfe624, 0x12547aed, 0x3b5ebb20, 0xf7f2d038, 0x0e5854a7, 0x35d68d35, 0xcefd9703, 0xc6a18415,
+    0x21c8f061, 0xc07971a5, 0x00fdee6a, 0xb3cf9d36, 0xc12f59d3, 0x13e4ad64, 0xb203a122, 0x3504090c,
+    0x915f837e, 0x59f384a3, 0xd9395559, 0x80794b2f, 0x24ad409e, 0x0f339ce0, 0x9bbc0102, 0xabc9eb5d,
+    0x043ae745, 0x22ee6ca5, 0xb3662a03, 0xd60334d5, 0x1d6564dd, 0xe702497f, 0x8897e704, 0xa9cf8b66,
+    0x97f2b409, 0xd45e992e, 0xc087292a, 0x9f2efc49, 0x2ff47ee7, 0x8265f0c0, 0xaaa06422, 0x62b8da0a,
+    0x1376d6d5, 0x18306cac, 0x087997b7, 0xefcf3126, 0xdfbf7e02, 0x7170c90c, 0x729288f4, 0xf63d242f,
+    0x4d97a365, 0xcfe2fd45, 0x45d5c5f2, 0x57c684dc, 0x61ea1f85, 0x5a5e76d4, 0xfceeff5b, 0xc4b25e4a,
+    0x95212638, 0x3932827d, 0x83c9f339, 0x217ac0d3, 0xd4580931, 0x7e05ebf2, 0xd7964786, 0xfe68e29b,
+    0xc206838c, 0x21f1def0, 0xb6b91310, 0x505c2d38, 0xed59aed7, 0x98821292, 0xffb1fdf1, 0x0f29c388,
+    0xf3ca2022, 0x32ccc080, 0x3671537c, 0xf9810b8c, 0xfb8c1de7, 0x6553878c, 0x9743e861, 0x0ec223d5,
+    0x9bef7b17, 0x02545bc1, 0xad5a2d9a, 0x2aa65176, 0xf2163149, 0xc2ed54b4, 0xd1e8bcd6, 0xdfd570c8,
+    0x63da7c92, 0x8f9fdea5, 0xadbddf0d, 0xf0ebde63, 0x2630ca69, 0x9eec8806, 0x8874348b, 0x81a5c5fb,
+    0xfb6119c6, 0xe06ca618, 0x468cf864, 0xa3820ce9, 0xcd9a3a12, 0xa36ea140, 0x3198cb6f, 0x68bc92c1,
+    0xbe37ac3a, 0xdb1a3e02, 0xdb8d6c26, 0xdb8cbe64, 0xca0d3662, 0x001d59a3, 0x4acec587, 0x646352e4,
+    0x8ec66aef, 0xeb2ef99b, 0x9eea89e5, 0x81a43cb8, 0xa88c1b51, 0x2dab3865, 0x1222b5a6, 0xc651cbc3,
+    0xc48f17dd, 0xf4f9a046, 0x80ef09e2, 0x5e304657, 0x49cb7bd5, 0x3f328c38, 0xa985030f, 0x61cbf877,
+    0x3c84e5c0, 0xc8295f94, 0x58bb58c1, 0x78c0e1da, 0x140755d6, 0xb37e7c2c, 0x4f879a96, 0x7ffd1d08,
+    0x857550f5, 0x7bbeb82a, 0x40314b17, 0xe96833b6, 0x6d49e71f, 0x42396906, 0x8ac61949, 0x11fb73ea,
+    0xb2f4f726, 0x9c160793, 0xe546f1d9, 0xb2882e39, 0x3d7f4919, 0x9556d8ee, 0xc00bbf7a, 0x8b2901bc,
+    0xd485afad, 0x4c03e0d3, 0x810194c4, 0xf437ea29, 0x3bb48176, 0x760e81d1, 0x04d127c9, 0x5d997a9b,
+    0xdf8d96af, 0xfe43bd2e, 0x15b22a09, 0x5418b16a, 0xef468ad4, 0xb584f7d6, 0xc19e2501, 0xb13743f0,
+    0xc321d189, 0x37e5cfa3, 0x7aaad472, 0xe94e2b82, 0x90f4a34b, 0x8282bcaf, 0x44ec777c, 0x8b365b14,
+    0xdb1814fb, 0xc8f45445, 0xd75979ea, 0xd4db0255, 0xe5b1c993, 0xc804c109, 0x89ccee95, 0x71dfdc4d,
+    0xbd8fdab4, 0x9596952e, 0x37c1f753, 0x58784e25, 0x6212f1dd, 0xeef355b2, 0xc21b3fb6, 0x4cc74b5b,
+    0x0f0c764e, 0x0327555d, 0x2fe497b5, 0x063d6ae0, 0x72dee1db, 0xc1c9eb55, 0x08ded86c, 0x6e1a1e6d,
+    0x4c072dd3, 0x19c0b1db, 0x36e94c3c, 0x64553d7a, 0x1da79a82, 0x8a3bf086, 0xf8ae0ecc, 0x33a44732,
+    0xa2797e9d, 0xe8e694e3, 0x818aa04b, 0x6d18ee45, 0x6d9b4825, 0xfc661cc7, 0xf558474c, 0x2f376797,
+    0x6cae45ef, 0x24ca5169, 0x193081e7, 0xc94603a9, 0x3766f611, 0x9ce1457b, 0xa7f93951, 0x72be1d4f,
+    0xe80889bc, 0x30140901, 0xeb9e3b61, 0x9da94670, 0xc261e37b, 0xbb14306f, 0xaff73889, 0xa74ef50b,
+    0x42cd91bf, 0x9c2e738d, 0x55c070bb, 0xd03a23a7, 0xd1daf747, 0xc09a55ad, 0xa50bb840, 0x870a2170,
+    0x7a97ba4b, 0x4b92d57f, 0x7b690120, 0x96368197, 0x05e47178, 0xb65ba4d8, 0x288654b7, 0x9dcb8ac8,
+    0x0af5b9f4, 0x82339456, 0x79ff97a9, 0x49678672, 0xf198bcdd, 0xad9a7902, 0xbc82eba7, 0xb450abe8,
+    0x45290f69, 0xf85965a1, 0x814617dd, 0x7fc41dc7, 0x60f576c8, 0x8b22690a, 0x9f7d55f6, 0x1e71382a,
+    0xd846f327, 0xad12b368, 0x0ca0c68f, 0x99e66999, 0xfe6a82de, 0xe1609136, 0xd2249e6d, 0xfc84749a,
+    0xa217bded, 0x93b83cd1, 0xb39fcdb6, 0xb918daa2, 0xba874674, 0x7e1b63c8, 0xdaa930ea, 0xc757c305,
+    0x69b29812, 0xf96f0e5a, 0x2a61baed, 0x5f7c3fcb, 0x4b443e70, 0xbcaaf7e2, 0x376ededf, 0x6e6e85af,
+    0x0875b4e8, 0x21c26f19, 0x0ddd3993, 0x4552b54e, 0x04d95813, 0x1d107f54, 0xe9712cda, 0xa9b513e3,
+    0x522073bc, 0x79479fdc, 0x7c3c4494, 0x8de2e89b, 0x5ef09f02, 0x3e5ffc93, 0x4f0ac5c8, 0x7b926df2,
+    0x61fc5330, 0x67e4276e, 0xbcad9b7d, 0x7e29b68a, 0x6e3982fa, 0xf988d5e3, 0x5e206058, 0x9b9a6417,
+    0x2237a6c9, 0x9014ca96, 0xdd697367, 0x846da156, 0xef2cdfd8, 0x52e5d06f, 0x1bbe7298, 0x2ae3fbf0,
+    0xa7517f1e, 0x69100b67, 0xfa2f09e1, 0xf1e279a6, 0x5a8c0bb8, 0xdcf57226, 0x935bccd2, 0x05b31b77,
+    0x517ace33, 0xf89d7d05, 0x6113d02b, 0xf9360ae9, 0x522e93e5, 0x050b9d49, 0xc245dee6, 0xf0c32135,
+    0xc6d305d9, 0xe7c0489c, 0xc5f0a2f4, 0xfdc6d93f, 0xa7c7aa89, 0x8c55ca2b, 0xc2f20b14, 0x266a2d11,
+    0xb79e970a, 0xc649e456, 0x10a40f4a, 0x8c6797dc, 0x4336f0ef, 0xa9b59a41, 0xe09edbd6, 0x928de304,
+    0xf8063bc8, 0xe8e0b219, 0x8ccd3dd9, 0xcdb48511, 0x512bcc98, 0xcdc93d8e, 0x8da1cf10, 0xc09fffb9,
+    0x9ad68574, 0x368afa0d, 0x5ea892c9, 0xa0224b2f, 0xa46535fc, 0xf5477ead, 0xdb83799a, 0x00f22eed,
+    0xa6674712, 0xf2bc7c5f, 0x5fe1935e, 0xb1b119e3, 0x1af7ed01, 0x128394a1, 0x862942fa, 0xbf21a38d,
+    0xde0dfbf5, 0xb788f217, 0x7cb026c8, 0x9030c2c0, 0x298db3a6, 0x20cc23ce, 0xd51747d4, 0xbdd6c7fc,
+    0xa8b53970, 0x77fe59e6, 0x8ca01db2, 0x748d7f2d, 0xd81d0049, 0x64b5c6e5, 0x88e47d6e, 0x306fafb1,
+    0x28a393ba, 0x519b6cb8, 0x5e0b3af5, 0x9f7fe471, 0xafd7cdc2, 0xf66a6129, 0x32e74158, 0x9ec90017,
+    0x75d99f56, 0x1a94ff0b, 0xb689f016, 0x90effcbb, 0xbedae403, 0xcf48160e, 0x03844d25, 0x08bd04aa,
+    0xc265b21e, 0x40ac4f77, 0xaf0e53aa, 0x3e910e4e, 0xcfa66da4, 0x4e59ab4a, 0xb23b31cf, 0x1baacca1,
+    0xc7590956, 0xd6f12694, 0xdb50c0c1, 0x314c5ec9, 0x95b619d1, 0x1a766bec, 0x3ac85845, 0x654e09d4,
+    0xa310ec40, 0xffef95b8, 0xc8c1a08e, 0x766694da, 0x0b959be7, 0x20d0510a, 0xac6cd748, 0x86c3be62,
+    0xe93f622b, 0xc02d8d67, 0x4b3a9d8b, 0x5d1dbe6d, 0x061bdac5, 0xb00c38b2, 0x0a4462c5, 0x57af4311,
+    0x10465228, 0xffce1b08, 0xebee70ef, 0x7068661c, 0x98f647e7, 0x152a2f13, 0x76de32ba, 0x29e0715b,
+    0x67c4ab8f, 0x29edf526, 0xf3d16d08, 0x6a896c51, 0xb00a6c24, 0x570087b7, 0xcf33d14a, 0x27a2a225,
+    0xbcea1610, 0x21821f9f, 0xf05ac8c1, 0x42cf17d0, 0x47e44320, 0x5b69aa9d, 0xe3965efd, 0x90b16346,
+    0x101264cc, 0x7eeb8582, 0x4ae9bc34, 0x99b0208b, 0xe4a05c06, 0xc1eeec4f, 0x7ebf37bb, 0xefe3ba73,
+    0x4f1b8455, 0x526b8cbe, 0x3a1f0072, 0xc8eedf2d, 0xe844f678, 0xf5b04a28, 0x2944e1c9, 0xa037dec7,
+    0x11b596ea, 0x838d09a8, 0x1e725407, 0x11bf31d5, 0x63f7ea1c, 0x0226eaae, 0xa8a50205, 0x71c289e4,
+    0x7d5cd52e, 0x651f44ba, 0x1d681a75, 0xe21e9be5, 0xb598c5d4, 0x04ff046b, 0x553a2612, 0x585c0021,
+    0x0c07f4e8, 0x04810f6b, 0x8ca46994, 0x2503de3b, 0x050e15e3, 0x290a2a17, 0x3cb69c62, 0x1d1ccc39,
+    0xc04cffd7, 0x5bf8219e, 0x98220085, 0x142e9b0d, 0x0e479aa8, 0x441254b7, 0x593f1d0b, 0x8ccb8c9e,
+    0x213b2872, 0x5bf93da6, 0x25d1e0ca, 0x75c64bb3, 0xc6ca0bea, 0x5e380677, 0xfac3e070, 0x08d0a7bd,
+    0x2704d1a5, 0x9844f8d0, 0xb24e5066, 0xedc19204, 0x2f9acb3c, 0x8e5eda6b, 0x12669cb9, 0xc3d102f5,
+    0x76d3517b, 0xdf43b421, 0x58233dee, 0x3fb93a98, 0xd71ab171, 0xb4c213b3, 0x3e7c037e, 0x85453c54,
+    0x01685702, 0xd30303fd, 0x38e80df1, 0x8d0498b5, 0x42c9cc37, 0xec0defe2, 0x31507734, 0x80c9278c,
+    0x86e54527, 0x7d861119, 0x9683e143, 0xd9bed557, 0x1c7c7ae0, 0x170f5382, 0x3de76eb3, 0x2aa76d32,
+    0x6038cc8a, 0x29b35492, 0xdb61a23f, 0xa5d25d51, 0xbfae6f1e, 0xb17051a5, 0x8e2271b8, 0xb7944c0c,
+    0x84046372, 0x351cc0e0, 0x6885b43b, 0x6d819f09, 0xe24cf398, 0xbaee40b8, 0xf266152a, 0xfe2c50bb,
+    0xe3b7dd93, 0x370e9a9f, 0xcf510c43, 0x5e6e306f, 0xc8ec3371, 0x5e1cf3f3, 0xdbce87a7, 0x202381ff,
+    0xfc06f81d, 0x4337439e, 0xda6a5b1b, 0x6a5691b2, 0xb5c04a02, 0x7b117ee7, 0xe8698f8c, 0xb8591f0a,
+    0x1c23649e, 0x996b8881, 0x0d6d4dca, 0x8902632b, 0x5fb5c612, 0xf0bb460a, 0xd899ff7c, 0xfe8cfc86,
+    0x6044f985, 0x53c1e4e9, 0x4364859e, 0x67b02bee, 0xf2e376a3, 0xc151fd5e, 0x78ce627d, 0x25840e0f,
+    0xc5407087, 0xa98b95c4, 0x9ea974b8, 0xabf29d5b, 0x5409741d, 0x47287b3f, 0x8f0ee6e3, 0xb841fd7d,
+    0x6eab446e, 0xa8092671, 0x3a42aae9, 0x4f1691df, 0xe03b5fe4, 0x4a1f7eea, 0x5b432e0c, 0x11166d5e,
+    0xcff380aa, 0xa58f89ad, 0xe33c142f, 0x76503f43, 0xbac8bcd7, 0x026281ef, 0x69b5aeb2, 0x57b92617,
+    0x23718d33, 0xe72dbea1, 0x42651d2e, 0x1b01cda4, 0xe96a8af0, 0xd795212d, 0xdff4f797, 0x907c7adc,
+    0xa1a143fa, 0x266c179f, 0xc2135bff, 0x1d466cb4, 0x3b3adc22, 0xb98cc9b0, 0x04ddd5d7, 0x95161cb1,
+    0x1b13ff4a, 0x8c223235, 0xa29a295b, 0x3ccbe1d2, 0x4f0622ec, 0xfb92d9cb, 0x8f02c0ce, 0x151874a0,
+    0x38e1a044, 0x228b5c87, 0x30259ec0, 0x101c4b4f, 0x79bfe758, 0x08ec1fd0, 0x101eb31a, 0xefe5fa8e,
+    0xdfe7794f, 0xd4a39353, 0x29df8712, 0x02d9bd1e, 0xf316f771, 0xa8928d39, 0x2f895b6a, 0xf4550f48,
+    0x8f578c0c, 0x24283bd2, 0x13302893, 0x715c2ae7, 0x27ccdc02, 0x15fd71f5, 0xcceae82f, 0xbda51bcf,
+    0x9432006f, 0xfb04085f, 0x4ddc108e, 0x42c29a8f, 0x59ffc9cd, 0x067f17a7, 0x0ee59de6, 0xb7ace0b6,
+    0x761e1549, 0x68b601ba, 0x16a682b2, 0x6182fa5c, 0x0b78e1e5, 0x9d6782d4, 0x4a9cd158, 0xe5962e41,
+    0x0a24277c, 0xcee76b2c, 0xe9e8384d, 0x9d220520, 0x137a26ae, 0xb3ae9e23, 0x71b09471, 0x7b0adbaa,
+    0xb437a104, 0x1737d366, 0xc03d821a, 0xc90ba230, 0xe600d7e5, 0x5a80a036, 0x0b0a9416, 0xb7505332,
+    0xf75d5de0, 0x4f022fd5, 0x531c33b7, 0x9eb400fc, 0x958ee84c, 0x088a7f3d, 0xcbc10a1d, 0xf238e798,
+    0xaef7d892, 0xbedc15a6, 0x91caf642, 0x6ff2cc9e, 0x07dc0c32, 0x208a955e, 0x233c8105, 0x5a417d26,
+    0xe5f2f64d, 0xca134c59, 0x36e2eac4, 0xf35db036, 0x9a3f7653, 0x49e122db, 0x8aab81cc, 0x82355d62,
+    0xbec74bd6, 0x15195cb9, 0x5c68332b, 0x80b58c10, 0xc6601daa, 0x92c09079, 0x127602f1, 0xb0de8620,
+    0x0f84eea1, 0x734da990, 0x3bd86eb0, 0x9842cdd5, 0xc450df70, 0xe2977bf0, 0x9aaa218a, 0xd15ed14f,
+    0x2df8a240, 0xc68f64d5, 0x71ed3d70, 0xacac96ed, 0x492b98b1, 0xa3b3ced8, 0xc0a14131, 0x35b6af6f,
+    0x38fb7af2, 0x721c38b4, 0x56ba352c, 0x1aae96a8, 0x4f7b0fe2, 0xcab7cf7d, 0xfdbf00ce, 0x08590a49,
+    0xad424baf, 0x1f2cb02e, 0x1431b431, 0xa4149261, 0xcbf56954, 0x020252d8, 0x1a74ae5e, 0x96419873,
+    0x5768f6a6, 0x6082f436, 0x1b2f24e8, 0xd707ee72, 0x6d008e7d, 0x7045c453, 0x2949db1d, 0x378d918e,
+    0x495d6098, 0x676004b1, 0x063e45d1, 0x170ea121, 0x268ad92c, 0x303a4886, 0xc3d16c70, 0xf3f9e97a,
+    0xa02b8c26, 0x476182ca, 0x5d9531e5, 0xa70494bd, 0x1bf031c7, 0x7880441f, 0xacbcc65f, 0x672ef8bb,
+    0xf01575c7, 0x01739668, 0x011537a0, 0x7e3bfbe9, 0xf225696c, 0x620ce13a, 0xecbc38fc, 0x01e0bb3c,
+    0x0b4be5d1, 0xdb9a789b, 0x052485e0, 0x9d55bab2, 0x78553765, 0x22112111, 0x68b60d45, 0x8d9ab3b7,
+    0x00000000,
+    0x314ac5b8, 0x4ea80721, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000001606938044258990275541962092341162602522202993782792835301376 */
+  { 0x00000000,
+    0x2ab9a8f6, 0x73c0c20f, 0x6aa138c5, 0xa8c58471, 0xeaffcf3d, 0x6ab57e50, 0xba4112b0, 0x242346bf,
+    0x5293e2e9, 0xdfe4633d, 0x528b49f8, 0x40b6fa9d, 0x07134049, 0x8f6c38c3, 0xcb9dd51f, 0x7add96a7,
+    0x006fda05, 0x0979e289, 0x1c29a9d9, 0x7d9f2434, 0xd729b33c, 0xc99fa357, 0x406a42b9, 0xbeca22fd,
+    0x88a3a86b, 0x6cee8ba5, 0xbcb9c834, 0xd68a6eff, 0xed1b1d9a, 0xd37af219, 0x56421a02, 0x6872ff07,
+    0xc1abc296, 0x66b8ced8, 0x23e77ed5, 0x7507623e, 0x9f9a7084, 0x083adaf9, 0x595d928f, 0x08f95a44,
+    0x2ada57bf, 0xd7c1f987, 0x18577a0b, 0x637102c0, 0x04e23b82, 0xc1ba63ab, 0x00bfc890, 0xa29a073e,
+    0xf5d7780c, 0x32b1eb89, 0xcff39567, 0xa98b8ef6, 0xbf803016, 0xa484098f, 0x2804da00, 0x17e391a0,
+    0xb72d9374, 0x6e700e5f, 0x6df3cc12, 0x60def589, 0xc63df520, 0xfe45ac7d, 0xc27b17fa, 0x79ec5f03,
+    0xf879eeb7, 0xa46ea182, 0x7f9b8820, 0x8e751eed, 0x5cdb5e6e, 0xdbaa0c70, 0x1cabe0ca, 0x9fd9c93c,
+    0x400d6519, 0x6d2707b4, 0x402fad6d, 0xf7a6c368, 0x7fa94306, 0x84c4dbd7, 0xd7938b03, 0x6eb5fcf2,
+    0xd939c486, 0x323db2b1, 0xf012c106, 0x24a239ea, 0x4d0ea065, 0xd32778a8, 0x8c3da5db, 0x678bd8a3,
+    0x5ae6cfaf, 0xd675d5ae, 0x6a890cfe, 0x121ad763, 0xb24d74ee, 0xe4db1ad4, 0x67b1cb88, 0xad09da8a,
+    0x8b155a25, 0xa517195f, 0xd5cc4dac, 0x9c50609e, 0xa0e6e463, 0x2b9c38f6, 0xf1fbda91, 0x93da23cb,
+    0xddb50cb5, 0xaf5ed05e, 0xcf7bdafe, 0xd85c6d00, 0x4ee106ac, 0x5b0bb790, 0xcbaa96f2, 0xd6382f51,
+    0x277dcf0c, 0x2e28de81, 0x208c3b52, 0x0a83d7ba, 0x68b05d2b, 0x2883cab0, 0x4e9d17b9, 0x4bd7e07a,
+    0x0fce3dd4, 0x4e7b48eb, 0x6ec2f151, 0x337788dc, 0x60814dff, 0xf5886f49, 0x559ce5a4, 0xe82ccacd,
+    0x1caa8392, 0x5796805e, 0xfd3daff6, 0xef296bf0, 0xa6bb4182, 0xf2f26442, 0xcc5b1bc4, 0x3bde9e18,
+    0x4a428c30, 0x7fcd000f, 0x80572af4, 0xf7f4a489, 0xc832898d, 0x33adcd14, 0xf4125933, 0xfbe5647b,
+    0x1ccad061, 0x0cf4f99e, 0x2fd42f06, 0xe7f6a7b0, 0x2341877e, 0x6ad95858, 0x1f2c2229, 0x60dd8607,
+    0xcfb630b4, 0x8be3be22, 0xf833e3ab, 0xc02b6b46, 0xd3ddfc38, 0x1968f9be, 0xcce8c86b, 0xae509db9,
+    0x8dc46f0d, 0x8b5ae9ce, 0x873f5747, 0xff9781a8, 0x9489cb87, 0x7c88fbd4, 0x730c7332, 0x6fb55c88,
+    0x3aecff6b, 0x830f5d7b, 0xc702b55d, 0x784fd556, 0xcba3205b, 0x14cbfd71, 0x7814700c, 0xebf1e2b4,
+    0xef5676ca, 0x0436a1da, 0x58890485, 0x08c83c85, 0x249a02e0, 0x034d041f, 0x0159b70e, 0x8a9f4719,
+    0xeebef3b6, 0x16a2b664, 0x170d0430, 0x4dcbb3e0, 0x2c9ceea7, 0x08e9b9ab, 0x9d0791f5, 0xc6d81e6c,
+    0x524380fc, 0x9b8cdb80, 0x33ddc96a, 0x073a906f, 0xaa8b4300, 0xd7fe882e, 0x95cf5768, 0x7f5aebf6,
+    0x65e6786d, 0x5461846f, 0xcc026f9f, 0x70512218, 0x87627479, 0xd1d650fa, 0xf105439b, 0x40cbe0c8,
+    0xeec2b5ae, 0x77346a1a, 0x1ea691b7, 0x1823d64e, 0xab674478, 0xa7f33ea4, 0x9bf84112, 0x489a6140,
+    0xa85cd015, 0x389fd006, 0x858bc3b8, 0xb97a22f4, 0x8a3b34b2, 0xad05a59c, 0x33d2c95c, 0x27b5a7ed,
+    0xebc99ba8, 0x3f315f79, 0x5aa77be7, 0x3df620e4, 0xbafc7b7c, 0xff1b5257, 0xad5d9e6b, 0xdface911,
+    0x57e3b44d, 0xb7b7b361, 0x0520dacb, 0xc4d4177e, 0x81ea5df8, 0xb154ae40, 0x6f19f6cd, 0xf2bb9c74,
+    0xc8a62859, 0x2793ae96, 0x8b43d5d8, 0xa0efff47, 0xb5f34c23, 0xdf248eb6, 0x3e8efe36, 0xf00a396a,
+    0x60a90757, 0x367a3771, 0xc2a17e99, 0x5f159d0d, 0x1bbdc37e, 0x0fcb6efc, 0x1fd51f01, 0x59fe4c88,
+    0x4e19d4c9, 0x230a05e0, 0xd9159de1, 0x21448feb, 0x1cd08793, 0xb8e407c8, 0x007c93b3, 0x831c0e14,
+    0x3fbf06a2, 0xe4294e30, 0xa068aff1, 0x2773fa9d, 0xbee381bd, 0xefbf679f, 0x5ac02ec5, 0xad509814,
+    0x4e45efd4, 0x65135d9d, 0x7be66917, 0x09a73a9e, 0xd3fd20ff, 0x1fff43dd, 0x72ebfb7f, 0x6f812db3,
+    0x194d559c, 0xce7d1b5c, 0x4f522538, 0x3ac3f60c, 0xe764171a, 0x3049309f, 0x2b64dd72, 0xe6585d40,
+    0x7ceb367e, 0x4406447c, 0x57194dc6, 0x002f938e, 0xec5017dd, 0xceda9c58, 0xeb25fe31, 0xf5884dda,
+    0x1e466432, 0x576de524, 0x5ee052b2, 0x1028db79, 0x492a417c, 0xcb2bc99d, 0x49bf55d0, 0xb0a22de7,
+    0x4dfd3dfa, 0x2c6bd3d5, 0x8d73383a, 0xb8250ad4, 0xceaf7560, 0x506d1f8c, 0x09260cdf, 0xa9c569e9,
+    0x7547a5b9, 0xb433dd68, 0x4a17a437, 0xcd956a0d, 0xc0243883, 0xdccebc6c, 0xa2a0da95, 0x2389f025,
+    0x1dd5245a, 0x92becd73, 0x4d8c9e50, 0x0d1ee66b, 0x6c3362ed, 0xb5260111, 0x160c2340, 0x2432f5d4,
+    0x5c97e96c, 0xf95e51fa, 0x66ca673c, 0x8a7f87f7, 0x076acf33, 0x40dcd7d4, 0x7b21a558, 0x8b7f3e54,
+    0xfb13a9a0, 0x803ad91d, 0x1c46ff76, 0xbdd39374, 0x279baf9a, 0x949d8cfa, 0xa06d2786, 0x88d495a9,
+    0x94422463, 0xb4379f6e, 0x7c768461, 0x36d3f180, 0xce30cf34, 0x5529c6d9, 0x8e7f89eb, 0x35038318,
+    0x4d727587, 0xc2d3cfb9, 0x05cfb10a, 0x15390b91, 0x60e16a8a, 0x12e5ed68, 0xb6426539, 0xcb053fc4,
+    0xc1b31048, 0xc57a4445, 0x71ea85f4, 0x0ede218f, 0x87d7e148, 0x905565d2, 0xbb71c6a7, 0xc14fb2ed,
+    0x2ea5df92, 0xdcb0fbcb, 0x95dd329b, 0xfb026c21, 0x4565e611, 0x35eef892, 0xe3e4b3ad, 0x8076bf0a,
+    0x2d10f5be, 0x8921b20a, 0x284f5be4, 0xb201b1fc, 0x3fc1fc9d, 0x2a5a7773, 0x7e1d64f2, 0xa21006db,
+    0x7cb19f91, 0xaafa5397, 0x612be2ef, 0x2a683ec1, 0xb8797d00, 0x1492dbdc, 0xf9fb0d8f, 0x2ca54860,
+    0x2e6879a7, 0x9e1b74d0, 0x75c921d7, 0x886451e3, 0x06e06494, 0x7833d0a8, 0xe8574f38, 0xc7efe21e,
+    0xa6ee08a5, 0xe8396afc, 0xa4488758, 0x0117518f, 0x43ff0a14, 0xde59b98c, 0x70b0059a, 0x5439dfbc,
+    0xb7967ec4, 0xe1f66fa9, 0x9e503369, 0x9b2cdfb5, 0xce74d6b2, 0x631053b0, 0x55451172, 0x559b7335,
+    0xd689d6c7, 0x8fbdb000, 0x694f076c, 0xd149dfd7, 0xf17eb7e4, 0xc386f3d7, 0x422ce361, 0x70ad7b38,
+    0x8ca929c2, 0xd8cbbd2f, 0x698ec1e2, 0xd987cb45, 0xca2bb744, 0x14959a93, 0x5578154e, 0xcc47e885,
+    0x42f4c32e, 0xd7b75832, 0x0a1f1089, 0xaa644729, 0xe578f29e, 0x61efef5d, 0xe0d525af, 0xd71b7b26,
+    0xd838b92d, 0x98cbc8eb, 0xd587a9a3, 0x497565d2, 0x9cbf94aa, 0x72693b1f, 0xb333955b, 0x8548942c,
+    0x67249bb0, 0x84ebe26c, 0xca8f01cd, 0x1664dbf0, 0x40044a77, 0xa1471b9f, 0xec3535ee, 0xe2f8c542,
+    0x077a7ea9, 0x6a4cbaf6, 0x9275bbca, 0xaf880d1e, 0x35d71e58, 0xda09f5ae, 0xb3bb4698, 0x708dc9bf,
+    0xb6a8c56c, 0x74a40d77, 0xf32f2e80, 0x27597482, 0xe4130f46, 0xf1ce7e02, 0xa7b81b5e, 0x1d245aa9,
+    0x364170f6, 0x72cf9420, 0xd21007ff, 0xb8f786e0, 0x66e7c181, 0x2dafc741, 0xd6f6353a, 0x7afc0fb5,
+    0xa703b8e7, 0xb2eebdab, 0x3dd8fc73, 0x299f03c3, 0x449ca1e1, 0x27387975, 0xaf033144, 0x17486368,
+    0x703ec9c5, 0x72b2c6de, 0xa0f77fc5, 0x903b2849, 0x9a8195e5, 0x0624f138, 0xec688226, 0x0c33cd51,
+    0x2f4d15fd, 0xbe19e010, 0x3166561f, 0x62e2aa89, 0x2b2b7261, 0xf1da62ea, 0x5afdf755, 0xf807501a,
+    0x237eefde, 0xa53c27da, 0xc049b59f, 0xfdaf1062, 0x1e5e1789, 0x7d53d341, 0x75757753, 0x11a58f27,
+    0x40382d4c, 0x54989f40, 0x30ae96f5, 0x5450118d, 0x7f1f732f, 0x2ae70d7f, 0x0f09b45a, 0x19cf808c,
+    0xc131bb70, 0xadc436f2, 0x711f3c0c, 0xcdf98bc4, 0x29b98c39, 0x62383a36, 0x0ba801ff, 0x80c6cdae,
+    0x603c19ed, 0x0d9f209e, 0x98fefaf8, 0x48dbbedd, 0x197b0cfa, 0x496da144, 0xfe0320c1, 0x66777135,
+    0x9e8b2bef, 0x8c1359c0, 0xb27b4382, 0x8b935c5c, 0xae8f19ac, 0x856b5044, 0x05d9c839, 0xbdff34b7,
+    0x30abffd8, 0xc4123e2a, 0x82bcaa5b, 0x871271c7, 0x89d52ded, 0x3ed762c7, 0xddfc7378, 0x27d99655,
+    0x66c02cb2, 0x47a973b9, 0x5e7b0ea6, 0xe3bdee07, 0x6d6a0192, 0x11cfa0fa, 0x033af190, 0xbbd2bbaf,
+    0x41d76543, 0x3b7c6a03, 0xbcbb444b, 0xe216bdb7, 0xba576159, 0x26e9d579, 0x7b7eccc0, 0x8a8b978f,
+    0x1b8a6b16, 0xb9263eaf, 0x35a0fb1f, 0x8b62890a, 0x40f9ac36, 0xdd302e89, 0xae26dbf2, 0x0d5867fc,
+    0xf84ce4b5, 0x015da418, 0x14fbd278, 0x59a4c861, 0x98293b7f, 0x60f7c309, 0xfb71af79, 0x82770894,
+    0x7a93e57e, 0xff63e13a, 0x94753a3f, 0xe4d03d2e, 0xde6eb1c9, 0xdd37003a, 0x6dcf1027, 0x91b9a3c6,
+    0x942f0234, 0xd752ab30, 0xb69bd23a, 0x2415a10e, 0x923bc48c, 0x4dd2a100, 0x72106d64, 0xd318e451,
+    0xcf72169f, 0xd14b799c, 0x61e9ebe3, 0x7ef3ddce, 0x43cb104d, 0x0f1ed6da, 0xf12fc419, 0xabc6f8ac,
+    0xcfaf18df, 0x9db156a2, 0x60f511bf, 0x93170b04, 0xc0ec1392, 0xaebd5e3e, 0x0cd0fb46, 0x9d63e304,
+    0xe6fc3f15, 0xd916d31e, 0x9932cf97, 0xf20aac6b, 0xe88238e6, 0xfb0cb662, 0x6afe4bb4, 0xcce9c5df,
+    0xae0875aa, 0x281a0e1a, 0x2f114058, 0x7b657ed3, 0xf825a078, 0x1c287ebc, 0x8d8597d6, 0x3c045aa0,
+    0x2248ad35, 0x63a60854, 0xa4728b4e, 0xd8991fa0, 0xcb7dff1d, 0xd1c5b901, 0xd59e08e3, 0x5ca5248f,
+    0xd6b9ea52, 0xd4d47361, 0xe514f6b5, 0xaa3a2b7a, 0xc7b10159, 0xe1cc5545, 0xba3f44f4, 0x6e313be4,
+    0x886dc23a, 0x5d8a039d, 0xc6f5430e, 0x75541270, 0x094d08d8, 0x6c349556, 0xa54f0bef, 0x4966bee6,
+    0x01964b19, 0xf30aee3c, 0x368b62fd, 0x39c17c48, 0xf983ffb3, 0x3761bafd, 0x8a9fdf1d, 0x0e02fb62,
+    0x366983d7, 0xdeb5ea20, 0x519614ef, 0x629f0363, 0xe772abdc, 0xbd51c0c4, 0xc96cbff9, 0xd3ae6675,
+    0x54a8ad60, 0x7d14cfbb, 0xc25bc90a, 0x137fa31f, 0x27016640, 0x5ac09939, 0x2b5ca45a, 0x2080aeec,
+    0x656ab181, 0xdd6fd90c, 0x6c137226, 0x5eb729b2, 0x5d59afd5, 0x61e5b23d, 0x409ea6b5, 0x2c782b18,
+    0xbdcf329c, 0x19dbf01e, 0xa04ce6c9, 0x0faf9917, 0x04b1f32c, 0xfd5fdff9, 0x593adba3, 0xc87730f2,
+    0x20818242, 0x7aa86542, 0xcff2d7ee, 0xc4a84b44, 0x1e1fae2e, 0xc52b8401, 0x5db30bd3, 0x4732799e,
+    0x59673c3d, 0x6d6f8e9f, 0xee5f5f04, 0xb8df874c, 0x855493be, 0x2a313857, 0x4d5eae5b, 0xf687721a,
+    0x8cc14f1a, 0xadbec6c9, 0xc98b8e7d, 0x85052ef4, 0xf6b49127, 0xc43a00b3, 0xa2b18cf6, 0xf48e921b,
+    0x1fa99710, 0xcb4caf15, 0x3f644108, 0xb152060e, 0x6bf13569, 0x376952ab, 0xabee0d1b, 0xd62812fe,
+    0xccd5a559, 0x85c6a43d, 0xfc9ad55f, 0x42fadb6a, 0x00186870, 0x30a90c4c, 0x4226008f, 0x72f42b52,
+    0x53e78053, 0xd56e5a2e, 0x1465837e, 0xa790bc03, 0x3bdef2e4, 0xb6d25274, 0xa69d0171, 0xc581326b,
+    0x31832d5f, 0xeb83eb63, 0xa217f275, 0x1a710eea, 0x0fdfff4f, 0x854bb4a2, 0x35167a41, 0xa8b8ddb5,
+    0x8da25dc8, 0x080b75ae, 0x8c89c3df, 0x7a7d0fbd, 0xc8d1c9b8, 0x52f8b42f, 0xde71acce, 0xdb38828e,
+    0x7a6486fc, 0xc6fbdf1e, 0x71606ae5, 0x596260e3, 0x35808a3e, 0x9c896dc0, 0x66e607ec, 0x7d6b783d,
+    0xe962319c, 0xf9098812, 0x4d6d91c2, 0x0b9e337a, 0x0dfb6510, 0x5efeb1e8, 0x19a9f4f8, 0x440f652c,
+    0x7d1a13a1, 0xdcef8bde, 0xda164fb2, 0x4351e8ac, 0xf7ab070c, 0x94f5c8d9, 0xbc1e94ff, 0xd4bb59fb,
+    0x3abf14c4, 0x28f6e565, 0x798ad1ab, 0x338211cb, 0xe35e1078, 0xbdf1cea7, 0x025247f9, 0x76012830,
+    0x08d90f5b, 0xde2a60e9, 0x42441272, 0x57f7a468, 0x2d7af0d3, 0x13fb05d1, 0xb7d332a2, 0x7b29b54c,
+    0xcc50e3eb, 0x792e52b4, 0xa9567673, 0x6e9511a3, 0x6b2f6cb4, 0x6ad3ace3, 0xb4a172fe, 0x3523470e,
+    0xee71b1d7, 0xe17aa577, 0x2c47a242, 0x20c80a76, 0x0d1b5654, 0x56a3bb81, 0x812bf01c, 0xaa267a47,
+    0x7970309d, 0x6c428fd9, 0xc11b2aa1, 0x9fe213e4, 0x2dce58fe, 0x872aa0e3, 0x5de73602, 0xae0c6e7d,
+    0xae5ae401, 0xf891fc22, 0x470a0456, 0x2815bac9, 0xd79ac0cf, 0x81db2e4d, 0x02fc0e3b, 0x6e0c41e0,
+    0xd7e95fdc, 0x762e9d28, 0x9fa051ae, 0x134be6f9, 0x2ab0e417, 0xeb8b6f9b, 0x33d2a803, 0x6cb3c150,
+    0x7a7a671c, 0x81084652, 0xabf3db7d, 0x29d8ab1e, 0x32ae796d, 0x20c744fc, 0x6c1d66b6, 0xd91f21ee,
+    0x97b07767, 0x8d698d84, 0x901f9c6e, 0xf07f29e8, 0x316b1a87, 0xb86c57a7, 0xca7767e7, 0x31c44287,
+    0x9609ccc0, 0x73f1ae3d, 0x80b97b23, 0x2a2ed3a3, 0xf203ab01, 0xdab2f7e3, 0xeceb3938, 0x7f53224a,
+    0x992bfb04, 0x947716f7, 0x0ad71915, 0xdad2772f, 0x37b646f0, 0xc6f05fad, 0x2ed80618, 0xbe60a541,
+    0x347842e6, 0x6bbd428b, 0xf8c4d7f3, 0xe896daf3, 0xd6b5c622, 0xd6adeaa0, 0xeb86e02c, 0xc7dae1e1,
+    0x07ba58ba, 0x2ab0a95e, 0xe2484d3b, 0xd9abab85, 0x06403eba, 0x861a04f3, 0x05f1707c, 0xa8b0a079,
+    0xdc32268b, 0xe96db331, 0x209eaabb, 0x67583bee, 0x091843b0, 0x99d4c492, 0x4f41d116, 0xf2c54185,
+    0xdd9e695c, 0x1bd75ca6, 0xe1231fdb, 0x0e57df5e, 0xf9b130f7, 0x37102507, 0x13ddf4d7, 0x8fb60c3a,
+    0x9d05439a, 0x6b8cbe5e, 0xfe97ac04, 0x0d78eca3, 0x78478341, 0xb8886ea7, 0xf1fe63ce, 0x323935e3,
+    0x6fc2b8cf, 0x780b1c1e, 0xf64ebf9c, 0xe4904922, 0xd6ab57a8, 0xad6fdd98, 0x27006840, 0x900d1dca,
+    0x47290f4b, 0x6d6b2d1a, 0xd1180689, 0x6a0702ac, 0x6b59edc9, 0xab6dfb13, 0xb617ea44, 0x6a57a8e2,
+    0xeb99218e, 0xac2facf7, 0xc084e2e6, 0x7e7051e6, 0xc0592ca9, 0x3bd02e3d, 0x356801fe, 0xf75c58f1,
+    0xf818e12b, 0x217b4f48, 0x06560b75, 0x7e4cf160, 0x8b5b415a, 0xb5d615f7, 0x1ce9141b, 0xc0b762ed,
+    0x53e1be8d, 0xa2f01f5f, 0x283cb117, 0xa2b1e110, 0x23cbce23, 0xe95bc977, 0x67dbff81, 0xc91380dc,
+    0x737e04c4, 0x27f76b4b, 0x7c8b1cf4, 0x7e30d742, 0xb592b1cd, 0xc086f45b, 0x398ac934, 0xe63a01fe,
+    0x805359d1, 0x921d706b, 0xf372efb8, 0x6b2b57f5, 0xa7183a54, 0xe59ca502, 0x9420ae4a, 0x17712894,
+    0xde41ff09, 0x423e5457, 0xfe319576, 0xb504deba, 0xe85d5167, 0xe0c83a07, 0x84858730, 0x3e1f341a,
+    0xe5e9a46c, 0xf93bbe6e, 0x19760cb6, 0x734966e8, 0x2c586264, 0x0089a3a7, 0x8e4980b3, 0x859fd13e,
+    0x36a3e4cf, 0x27f63768, 0x73767cda, 0x5bdd9f3a, 0xb4a3c8d0, 0xa66d43be, 0xb87c8f7b, 0x18fd5bf9,
+    0x6f7d82d5, 0x15981c96, 0x5f926724, 0x8b1f2c5e, 0x0641317e, 0x85d6a922, 0x4170cd7c, 0xb696d7a5,
+    0x84ceb049, 0x1466b786, 0xe0777148, 0x804d3a24, 0xb43408eb, 0x519f5596, 0x395c8ec6, 0xbe656b7a,
+    0x00000000,
+    0x98a562db, 0x27540390, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000803469022129495137770981046170581301261101496891396417650688 */
+  { 0x00000000,
+    0x64fcf47d, 0x9b23e3f1, 0x28e4095c, 0xe98c2d37, 0xae1f5a37, 0xa071ec4f, 0x61ecde17, 0x8a1ed9c2,
+    0x4f16ad6f, 0x0ed25d14, 0xb7212747, 0x50f5c56b, 0xb56134ed, 0x48a7e1f7, 0xf2a77dff, 0xfa7b8b85,
+    0x0a84eb84, 0x08dbf198, 0xf256e0d1, 0x53454b60, 0xe3045065, 0xa57f274d, 0x49c9861d, 0x83cf1a0b,
+    0xdcf9e8d0, 0x6b696771, 0xb80565e0, 0xea2b8a38, 0x3f31bb42, 0x0daa7f34, 0x83da170e, 0xb01beda5,
+    0x54d7e598, 0x91571024, 0x190de70a, 0xf7f249dc, 0x1b86ee51, 0x34f9f757, 0x28ca1364, 0x2ea5da22,
+    0x44167db5, 0xc4fdccf5, 0x1b19e061, 0xbf6a9616, 0x07030bfd, 0x190dd0c0, 0x97949975, 0x9b9ce095,
+    0xf0c535ec, 0xf1f0e7a1, 0x819f2940, 0x5d76cdad, 0x82d27631, 0x8a977756, 0xd45b9926, 0xc0d53080,
+    0xbd8e22a3, 0x589a902b, 0xcad58707, 0x26733d6d, 0xf16405c3, 0x40ad4aab, 0x97513ee3, 0x583dc8fe,
+    0x91982aa3, 0x8aca0e50, 0xf42d6e5c, 0xc5bd2c58, 0xe92d6eab, 0x5e4ffb6a, 0xdab9f7c5, 0xa5c91c88,
+    0x44ca8e96, 0x697fcfa0, 0x60cb33f7, 0x0be2a371, 0x798bcbe7, 0x2cdc684e, 0x0e888380, 0x79c43ba8,
+    0x00a84c0f, 0xf3c4c0cd, 0xc22bd31f, 0x38f3c141, 0x3801d70f, 0x4123967e, 0x95ad1b37, 0xf9aff170,
+    0x04ee5b4b, 0xbddc9f7e, 0xaf414afd, 0xd41751da, 0xaee6d25c, 0x694e7bdd, 0xc14735cc, 0x5dd075e5,
+    0xbf1910b5, 0x4986609a, 0x0b96cc05, 0x5525aadd, 0x96900d17, 0xb93aa8c4, 0x5abaf6ee, 0xf8025483,
+    0x2bd31947, 0xb336ea3e, 0x5eeb28c3, 0x856fb7b5, 0x70eeccc3, 0xcf18a45a, 0x4d296aae, 0x0196a81a,
+    0x957fc46a, 0x23b3ef93, 0xd23f7bc9, 0x26f04c54, 0xd8c1cf7a, 0x6ad748e2, 0x1333b54d, 0x5c0803cf,
+    0xe7604858, 0x6d54f452, 0x0d7b8298, 0xc4838320, 0x98006072, 0xf4f7305c, 0x8d70e1b9, 0xed1ba52c,
+    0x0795c070, 0xb37accd2, 0xc5ee3976, 0xff729b67, 0xb10dbe3a, 0xcdd59953, 0x8b6d882c, 0x6469d7b3,
+    0x6195bb59, 0xdf26b38a, 0x6e442b29, 0x63839a2c, 0xb02a1c2d, 0xd1d54ff4, 0x9cf60b0a, 0xba079684,
+    0x12c1ed00, 0xa463c766, 0xa37c8c9e, 0x6d4e3b76, 0x5f49fb7c, 0x23e37b35, 0x49c0e646, 0x2888953f,
+    0x37e9417f, 0xa8079425, 0xb658136e, 0x598c56a6, 0xc31ab78b, 0x20c87089, 0x79ed5b63, 0x48f00aa4,
+    0xf4f56492, 0x80190f79, 0x51d4c093, 0x0f33b08f, 0x7f5a8a4b, 0x0be79195, 0x4995b755, 0x9ddfdcc5,
+    0x7bb69be5, 0xbdb3abb3, 0xab5abf38, 0x2602676e, 0x87a1768c, 0x4bdf9554, 0x84c18c9c, 0xd62a8253,
+    0xef138756, 0x0b4c711d, 0x075992f9, 0xb35fc8c1, 0x30f59a79, 0xd417e95d, 0x4f6cfb94, 0x1902208e,
+    0x0ebe984d, 0x66053a2f, 0x0954aa73, 0x59af3dc0, 0xebd86f14, 0x07281d8a, 0xdaf84257, 0x8465ebda,
+    0x22351f7d, 0x3ac442fa, 0x3afa4517, 0x55359406, 0x497d40ea, 0xa5b3bb01, 0x1217a506, 0xe34aef20,
+    0xbf3684e0, 0x7865b8b5, 0x09072148, 0x07fd422a, 0xf9d90d1c, 0x9f468c54, 0xe22b7ab5, 0x8dc4dfff,
+    0x19288a4e, 0xce058a40, 0x3287032a, 0xe1b2a7cb, 0xf3f3004d, 0x4fd71a15, 0xe0ad3515, 0xf3dc3bd7,
+    0x097d4674, 0xa9f7458a, 0x6679674f, 0x7be5dab3, 0x82ecfc27, 0xb34e4151, 0x5e067dc6, 0xb2ecbba6,
+    0xdc9f7480, 0xe839702a, 0xb3832a17, 0xc8ffef82, 0x387d17c5, 0x2cdaa6d0, 0x48e9157e, 0x7fbd8109,
+    0x9798c72c, 0xdd2de793, 0xad628840, 0x9a1ede3b, 0xe87f7be3, 0xb9cab4ad, 0xe78b071c, 0xb1f30d4e,
+    0xef34b2fa, 0x994f4e44, 0xeadeb01f, 0xe8dd7a36, 0xfdcf9a89, 0x40c807d1, 0x57937b70, 0x62b4dc3c,
+    0x3205ab9e, 0x9fb4b1b6, 0x5ac522e0, 0x4903e59a, 0xde40de58, 0xd6943ebe, 0xd1909ccf, 0xe64ae687,
+    0x63946a85, 0x03b43905, 0xb64035ad, 0x40f0700a, 0x6f20d8c5, 0xfed57fe1, 0x30834829, 0x14bd5af2,
+    0x9d28e6ad, 0x0540315f, 0x970c0b93, 0x43892c66, 0xf5c4242a, 0x93f4db22, 0x52649799, 0x46dcb59e,
+    0xc46c6d26, 0xbc0ecc8f, 0x886735b8, 0xc80b3c75, 0xe1b43ccd, 0x37574e68, 0x82bc79d4, 0x7a5efaa2,
+    0x7575d7aa, 0xc101b867, 0xaef36365, 0x88641ca8, 0x191756b7, 0x3d65af82, 0x39f69a6e, 0x022123a8,
+    0x831a9068, 0xb2f1827e, 0x227119db, 0x4837d0e1, 0x350dcbd4, 0x7e300cd1, 0x37bd55d8, 0x894db09e,
+    0xbc3fda2a, 0x62f9d156, 0xc2a3fc0a, 0xde148b13, 0xe74f39bd, 0xd160b753, 0xf598d431, 0x9e1717c1,
+    0x07a02fb2, 0x25b7a755, 0x7285b364, 0x1617d430, 0xf22c42ef, 0x84e12d56, 0xf9804d5f, 0xf1628ca5,
+    0x59f916a6, 0x55980e85, 0x41d5eadb, 0x6a6e0c4b, 0x1995c648, 0x5a6e3185, 0xbad23451, 0x04114ecc,
+    0x1edca35b, 0xf16a478d, 0x53cfb65b, 0x4a85e537, 0xcf672a97, 0x30b500ab, 0x9074592f, 0x0a45e39a,
+    0x8476f0c8, 0xa992c38e, 0xd71cb132, 0xaca3e395, 0xc6c651e0, 0x387f9138, 0xe0d9aa1d, 0x77c40695,
+    0x16a586e2, 0x864b24a5, 0x2564c08d, 0x93829d2f, 0x4570b974, 0x3ce856e2, 0x7c038b08, 0x69318a60,
+    0x418b3f68, 0xebe3e9c4, 0x22cb1a39, 0x2d0972ff, 0xac3dc81d, 0x409aadc7, 0x9050a5c7, 0x51c5285e,
+    0x3b0a5a4f, 0x9e7da0a1, 0xff70986b, 0xebcf6f83, 0x25529f5b, 0x91b04957, 0x2b7632ee, 0x3c6d3814,
+    0xff921224, 0x5045cb62, 0xceae970a, 0x5ebb1fb5, 0x089696ed, 0xe3224052, 0x573e82dc, 0xf0dc860e,
+    0xc0d905ac, 0x03c7483d, 0xd884a862, 0x043e0e41, 0x3d4dd49c, 0x1e8f248a, 0x2e46947e, 0x8081f3bd,
+    0x6d557aab, 0x267312cd, 0xe72bd41f, 0xff81ef64, 0x10d903aa, 0x8ad4ddd2, 0x8b7ea78c, 0x361a070c,
+    0x12bc998d, 0x68076b3f, 0x4d745f76, 0x485ce5aa, 0xc3d1fd64, 0xcc073e25, 0x723cf265, 0x66c46d25,
+    0xa2a59842, 0x70502e4e, 0x0e756dce, 0xd21125c0, 0x23e97b84, 0x95f45bb4, 0x552c6584, 0x66837347,
+    0x0f872b48, 0x9cd5a216, 0x8d5495e0, 0xe3e69fc6, 0x3508cbc4, 0xddbe552a, 0x5131b83f, 0x5043c775,
+    0x571f8fe9, 0xd8d7c33a, 0x9bb764ff, 0x4b86df18, 0x03bde8d9, 0xf4d7a37f, 0xa5ae2ebd, 0x6505211d,
+    0x9c6e2c5a, 0x23522a46, 0x012c9f09, 0x581acb62, 0x040df183, 0x6d587c73, 0x84a2369f, 0x9da49de7,
+    0x513f9f05, 0x7aa98f21, 0xa812c07c, 0x0ff5cb74, 0xe9c8c7ca, 0x93269198, 0xb814a4e7, 0xaea7b29b,
+    0x82120692, 0xaefc6208, 0x56f4a5a1, 0x960c7b5b, 0x758076f1, 0xf2b768e8, 0x08a4d855, 0xc63bf168,
+    0x3ba6cabb, 0x66f8e2d9, 0x69027fba, 0x57da6410, 0xcca74213, 0x806452a8, 0x832d2155, 0xc4892432,
+    0xf6070356, 0xe6d184b1, 0xe7442535, 0xc743c0a2, 0xc2735505, 0xcdb05a75, 0x1cee2bb2, 0xcce54b71,
+    0xe71ef805, 0x06b207e2, 0xa8b9f050, 0xb97c80d7, 0xa43e3780, 0x669c344c, 0x67d33eeb, 0x6d386c43,
+    0x4657bc8b, 0xfc7de1bb, 0x0c04c0a9, 0x62d45169, 0x3b0a61dd, 0x26da6b20, 0x194c7762, 0x738d86e5,
+    0x26d2f8ea, 0x77833627, 0xf6162a2b, 0x596dcdb6, 0x6a828a77, 0x19caf267, 0x88b2d7b2, 0xfa9d3db5,
+    0xee9bc0af, 0x8c79fc22, 0xf8de8f9d, 0x8b697ee9, 0x7cc3dce2, 0x4984fdf9, 0x756400fe, 0xd9c338d7,
+    0xf42181ff, 0x3a357cec, 0xbb6f8c61, 0x3f38950c, 0x3fb52ad0, 0x0d61b217, 0x2fdf1160, 0x7f6e74e7,
+    0xa0d02fa5, 0xac865f1d, 0x85e697cf, 0xfcfde678, 0x4a5a397a, 0xc864f36b, 0x0508863c, 0x6fb2a140,
+    0xfc99607a, 0xeced33bf, 0xdeae946c, 0xd0b838d8, 0xf3ee63a6, 0xb641b4bd, 0xabf64e02, 0x41dec56a,
+    0xffe89091, 0xf30c8adc, 0xe24795b7, 0xc21a6340, 0xc2dbb860, 0x9245d2fc, 0xbe81e2cc, 0x450eb344,
+    0xa05849bc, 0x13724fd8, 0xcf90c222, 0xdb0c5822, 0x91bfc1e3, 0xc808a3a1, 0x6c4fab0d, 0x74ade5e4,
+    0x65201576, 0x21105ac7, 0xbbf6156b, 0x91c38894, 0xa01f5a0b, 0xe663b951, 0xb0a2073a, 0x8a646893,
+    0x5c942eb8, 0x15514757, 0x5de0bedf, 0xa001004b, 0x113f723f, 0x1ab6f911, 0x18dfa04a, 0x5d5d45da,
+    0xe7d3a183, 0x6547f2ec, 0xf21b1ca3, 0x50398b5c, 0x3b0a5ab1, 0x7025a824, 0xb370c254, 0xcf538573,
+    0x05504b28, 0x7f351867, 0xc3eafd8a, 0x9261a67c, 0x4457aff8, 0x776cb4c5, 0x91b36850, 0x9d0c5e88,
+    0xfa4ea66c, 0x22c87de9, 0xae159def, 0x96f5b900, 0x79e352ec, 0x833f0476, 0x1f20b278, 0xa9da44f1,
+    0x4e3594a2, 0x2ad7cee5, 0xfeb5fda1, 0x3df7ae54, 0xbb073acc, 0x77407ee6, 0xfda28ecc, 0x2ea4c3b7,
+    0x256cf976, 0xe35b5435, 0xdfa8fd38, 0x800665d9, 0x36ad4775, 0xcabf4f74, 0x63ee9feb, 0xbec286d9,
+    0xe9df67a4, 0xeae03797, 0xb6c15f6b, 0x9d8197b5, 0xce2768c2, 0x84715a38, 0x54962f55, 0xd254d83c,
+    0x766facfb, 0xb5501aba, 0xbf3cd600, 0x73e949d3, 0x75aaadfb, 0xd3365183, 0x5b2f6d37, 0x998e902b,
+    0x6aebde53, 0xe3d35a6f, 0x12ede3cb, 0x364b0109, 0x789dd307, 0xd06dc7f7, 0x51d777af, 0x430e8db5,
+    0x11bfe26c, 0x52fc9e50, 0x169e1a93, 0x9b286803, 0x4a8dc0f6, 0x0356b8e7, 0x44bd76b8, 0xcd6d4d5a,
+    0x6a6ce952, 0x70123170, 0x5f1fec38, 0x8b0c3a2c, 0xea705b99, 0x40763b80, 0xf0cf55a3, 0x2447b963,
+    0xf13463d9, 0x117aa3b8, 0x7304c4ee, 0xaf41ca7e, 0xc9d842d1, 0x220c62b4, 0x0c34d3a9, 0x73e746b9,
+    0xb1808a1d, 0x8a72e1c7, 0xf917caeb, 0x7b015928, 0x13db9a64, 0x53d4cf42, 0x21c5d40a, 0xe9127800,
+    0x8c440356, 0x997d374a, 0xf744c837, 0xfa3b519b, 0xa248b7a2, 0xdd1eb5ba, 0x14ddc5d4, 0x31ac37b7,
+    0xa7ded3fa, 0x9bb25694, 0x18b38d34, 0x7f9e4eb2, 0x157ff6ad, 0xa69644cd, 0xb0572a4a, 0xfe6bb6ba,
+    0xa4ad5f9d, 0x228d847b, 0x293eec85, 0x3c20ce25, 0xce3da369, 0xc7c479ea, 0x2b10d955, 0x52374cf1,
+    0xe48980de, 0x1fbfdb54, 0xa09c6002, 0xe1901955, 0x71f7659c, 0x6e96694b, 0xcbb803a5, 0x523cfd62,
+    0xa27f6710, 0x2e54bf87, 0x28ee32ac, 0xd132c3bb, 0xd0d76046, 0xb08ec4c1, 0x45c5e999, 0x25f7890d,
+    0x2f337530, 0x40bf0294, 0x6b58fc92, 0xea8a026f, 0xcde957af, 0xf974537c, 0x896fb59b, 0x938cee1e,
+    0x3750604a, 0xfe70b36f, 0x46832bec, 0xe31eb569, 0xb96207d3, 0x0a5d7434, 0x6c34ae54, 0x44013f96,
+    0xf108e3a8, 0x548075b8, 0x68a6cf6f, 0x9d5d8d72, 0x431f8ee9, 0xe947a29c, 0x39c8622d, 0x5a7836f0,
+    0xc0f90347, 0xd98b4e0a, 0xf857b545, 0x8381cff0, 0xb734f832, 0x9327e837, 0xcaef976e, 0x57abcfe9,
+    0x96b05828, 0x284c0a8c, 0x96114416, 0x70e0467a, 0xb58bb587, 0xa9a9aab5, 0x11ca117f, 0x088335eb,
+    0xa2b0d452, 0xad36d722, 0x7cb96fdb, 0x9c8890cb, 0x86c34a9b, 0x0d393316, 0xd05b1ac5, 0x0451b807,
+    0xe5a29eda, 0x1f99ff7e, 0xf20d490d, 0x62ad6d72, 0xa02b1c91, 0x198c83bc, 0xcbbd21fb, 0x48b47db2,
+    0x4382cdd7, 0x7a846826, 0x8163b10c, 0x59978012, 0xe4cbdf74, 0x5648576c, 0x90d73e3e, 0x5a99bb9c,
+    0xbf25674c, 0x7555dc3a, 0xd9b32a5b, 0x1c048665, 0x9a710d16, 0xbb512c58, 0x45942c58, 0x0018cd36,
+    0x01184b7a, 0xa250ea58, 0xa6754bf5, 0x3ecf3adf, 0x6bfa48d9, 0x91750305, 0xd33f2879, 0x699178dc,
+    0x909154c8, 0x5dbe4734, 0x81944885, 0x2932fa9e, 0x09a4c92b, 0x1d4f59f5, 0x6fe49b4f, 0x60bdc5a4,
+    0x2a9a250c, 0x862156e3, 0xcac52c12, 0xe12cea44, 0x515e3564, 0xa1f179b7, 0x82ddfcb9, 0x9478dbb5,
+    0x2a48741c, 0xf9eff8b7, 0x1c12043e, 0xc2741378, 0x571b61cf, 0xe85a46c8, 0x02f6afe5, 0x8ac636db,
+    0x6ada2569, 0xb9f990be, 0x4b2b0677, 0x97a7b4c6, 0xc2c088b7, 0x85102ac6, 0x78f7f68e, 0x0230d706,
+    0xd30e1870, 0xb0f4f1fa, 0xa1f82481, 0xb020f76d, 0xd7968a68, 0x4ab57857, 0x873263e8, 0xdb0a91d4,
+    0xfb4db8e3, 0x8def2373, 0x0c682551, 0x9d9d8862, 0x08d8fe22, 0x5fd49c02, 0x926df290, 0xd0554ed0,
+    0xe8d22d41, 0xe5c9d9ff, 0x2776021d, 0x6088b836, 0x634a333d, 0xaab4abbd, 0x18b2ec2a, 0x10b5d61f,
+    0x9a83a253, 0xae4b58be, 0x6a2a4bb8, 0xac438f41, 0x1192a227, 0x003b12e4, 0x85686aad, 0xd33bc533,
+    0x670da8dd, 0x8539ad6a, 0x02fd3a2d, 0x6e9ff642, 0x5e771242, 0xac061b67, 0x555ff4a3, 0x3ae74a4b,
+    0xf4efb271, 0x33824f7a, 0xd49fb556, 0x9e698238, 0x62620e0d, 0x72ecc249, 0x952dc37a, 0x1fce4880,
+    0x9a549ac4, 0x95baba7c, 0x19f951a3, 0x46472c62, 0xdb91159c, 0x02f16abe, 0xc7e4439b, 0x84a9eb3a,
+    0x8b0ed479, 0x8f09d4a3, 0xc3593499, 0x59060349, 0xc17b745a, 0x43880617, 0x3780b4b8, 0x01e34683,
+    0x1b57a3b9, 0x533c593f, 0x8ea4e47a, 0x44acceb1, 0x683609e4, 0xffc84e4b, 0x87542d20, 0xa5d84605,
+    0x7a60e258, 0x86b988c4, 0xc82165ca, 0x6498a53e, 0x80710b10, 0x47f4951c, 0x479b4253, 0x56324779,
+    0x74d40b95, 0xafc1932c, 0xf90488f4, 0x87a2eedc, 0xede340ca, 0xea37b3da, 0x99f0d877, 0x33f5b39a,
+    0x68bba5d6, 0x878a5701, 0x7eab489d, 0xae5f322d, 0xee309fb0, 0xca378868, 0x68327900, 0x7a1fb59e,
+    0xbacdd872, 0x4d076aff, 0xc4882197, 0x737673ad, 0x0d09c3d0, 0x91f7fcd0, 0x0a8a3e7b, 0x2c8ea984,
+    0x9c2efc98, 0xd634c08a, 0xc613e1f0, 0x9023e68e, 0xf0e166ac, 0xb479134b, 0xbef25152, 0xa407244b,
+    0x02ef1bd9, 0xe3619767, 0x815a7124, 0xb3a56322, 0x52ee8a6a, 0x3c8fe7b5, 0xd9cf5d3b, 0xbc71f696,
+    0x8cc6e0f6, 0x514e1234, 0x85c35b5c, 0x1462ef0b, 0x84e604da, 0xb85b2ddf, 0x2346144d, 0xa6cc9a2c,
+    0xb3adbe56, 0x62a984e1, 0x5ba6929f, 0x5ea0675d, 0x3149e296, 0xf12656ee, 0x6247dea4, 0xcd73a229,
+    0x75824606, 0x0bd63f13, 0xa0d08f8e, 0x773679f4, 0xd12212dc, 0x15f5019c, 0x358da87c, 0x84d0d308,
+    0x9a60396f, 0x708a40b7, 0x7272ae32, 0x8970f6cc, 0x489fe819, 0xc80b637d, 0xcacf30ea, 0x60acb98e,
+    0xd37fa569, 0xe5a671dc, 0x75f7374b, 0x1afae49b, 0x7acf2459, 0x54a4281c, 0xb61b5447, 0x7bfd6a81,
+    0xa69a4c70, 0x62401975, 0xfdd1a339, 0x2a1cb292, 0x5972b31e, 0x82f970df, 0x0f8b5a72, 0x5dde8bdb,
+    0xd97b1788, 0xeda24c1d, 0x1d57391d, 0x73c3dbbf, 0x09f03d14, 0x9b07a5df, 0x90c984c5, 0xa1851fab,
+    0x966c77fd, 0xfc1b7a78, 0x8a033a88, 0x01cbca18, 0x8ece9c07, 0xd711e774, 0xb3ee1e36, 0x612f9d9a,
+    0x57990954, 0x4c79ccea, 0xd34754dd, 0x9cbdb083, 0xa5921bc0, 0x2250155b, 0xa3785f67, 0x7eb2c043,
+    0x491d0e5e, 0xf3e4f0be, 0x088dadf8, 0xa2db8e69, 0xe91c8c4a, 0xb6570573, 0x34e7d9ed, 0xc7c7db71,
+    0xd594cab6, 0xb3fe2bf2, 0x158ec9bb, 0x44beeeac, 0xd9ae1b82, 0xddc1fc86, 0x38bc5577, 0x32f506d9,
+    0x63fb016b, 0x11576384, 0xf7de965c, 0x8297f8be, 0x39d37aaf, 0x0bac39bd, 0xc2c1b4eb, 0x9c1c7843,
+    0x00000000,
+    0x4c52b16d, 0x93aa01c8, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000401734511064747568885490523085290650630550748445698208825344 */
+  { 0x00000000,
+    0x72f52de0, 0x435ea713, 0x15e2d708, 0xd32de11d, 0xd12ec83b, 0x6f364fd8, 0xe5ffda0a, 0x3bf9462a,
+    0xc09fa9e4, 0x89d59bfd, 0x54ee4a85, 0x8aa5b29f, 0xd55f3ff6, 0xa19db5c2, 0x91fd2efa, 0xdf3577ca,
+    0xb8ce86df, 0xc24bd71a, 0x94dd8866, 0x35ea1f81, 0x3092242a, 0xdbc29dad, 0x420720db, 0xb0bc0803,
+    0x8b61a7c1, 0x308c7ff2, 0x1137b04c, 0xd3599ea7, 0x2f1510ad, 0x524fb72c, 0x6a99a59e, 0x45e004a2,
+    0x17c4bc9d, 0x200597b8, 0x3d5c284e, 0x76257bb4, 0x5c788325, 0x5089d288, 0x9293c1d5, 0xf45d11fe,
+    0xd8ee9014, 0xecd3a386, 0x201aec1e, 0xac92d1dd, 0xe270ce7d, 0x3973bcb6, 0x0ffba51b, 0x2c5b2672,
+    0x1ef4172e, 0xc51c8290, 0xa987cc8d, 0x9ba73113, 0x590400e5, 0xbaa44973, 0x77f620dc, 0xc0ba2774,
+    0x41d62352, 0x191727dd, 0xa998ca65, 0xf91728f7, 0x75b1ffae, 0x6705ce0e, 0x37883b8f, 0x83935ba7,
+    0x157e7c6b, 0x5bf2b854, 0xa49416a5, 0xe1215370, 0x9000b7fb, 0xd16036c4, 0xa2ca35e5, 0x52ac4919,
+    0x7a763776, 0x7b14c051, 0x06e56c37, 0xf84312e5, 0x783c6e99, 0x0d67207a, 0xfbbdbe09, 0x5bafca13,
+    0x59df2431, 0x9d7f4ccb, 0xd4321bd7, 0x70bc49b2, 0xa1eda64d, 0xa5059622, 0x24e9a239, 0x716cf06a,
+    0x642f45fe, 0xe20836ff, 0xff588cd4, 0xf49300a1, 0xaa182b23, 0x6348d2a9, 0x8221bef9, 0x68294716,
+    0x77cf1f64, 0xfa9c0229, 0xb3ad4da4, 0x3dfc1af5, 0xfb69d3d5, 0x7a79d49b, 0xd58e170a, 0x74e09f26,
+    0xbd7b3e1c, 0x41d40151, 0x20050a16, 0xba722151, 0x599280fb, 0x034e722e, 0x9a4c8826, 0x5fbb3aa9,
+    0x8c671d91, 0x2c9673c2, 0xda9701bf, 0x17495cc0, 0x64753167, 0xa4b70302, 0x7c69bd4d, 0x12f22d32,
+    0x4254bc51, 0x2894d0ef, 0x6f63eecc, 0x448e6fa2, 0xb148fccb, 0xe37696a1, 0x0c074c43, 0x034509cf,
+    0x2e8039ed, 0x31304b78, 0xb84790ed, 0xa1ec9dc5, 0x7fd615d5, 0xf3d99e27, 0x6d6edb78, 0x81fb5b07,
+    0x27b8eab9, 0x2361069f, 0x87865d6a, 0x9cfecda6, 0xc2bc27b1, 0x7a6e7fc9, 0xc5a6f791, 0x3ca28a93,
+    0x9bd1737d, 0xf3ffafc0, 0x3aff764b, 0x25aaf7e3, 0x62973603, 0x0c849874, 0x6b1afa78, 0xff8ba66d,
+    0x340d5343, 0xe201868e, 0x61870587, 0x4333c1ec, 0x19def182, 0xfbaeaf3a, 0xbefde979, 0x803a5d28,
+    0x314413c9, 0x6ce69d96, 0x97a76a8e, 0x9dd42552, 0xca7072f5, 0x8b16954b, 0xcb2f5420, 0xa20b5d44,
+    0xd2e9e836, 0xb61e60ca, 0x2a7fbb57, 0xeb66533d, 0xfc0c7774, 0xb7a41f43, 0xebe02678, 0xd0bfd76b,
+    0xafd2b9b8, 0xaefcc0d4, 0x889a30ad, 0xd50d81a5, 0xe6771ac5, 0xbe36471a, 0xba7c058f, 0x3a62aadf,
+    0xc1222edd, 0x43f11712, 0xab3827dc, 0x56a4bf08, 0x46fa509e, 0xfbb2c1f9, 0x6981ff88, 0xb7905707,
+    0xe658872e, 0x872c5802, 0x8c4d323e, 0x9141f449, 0x8bed754a, 0x51c215a7, 0xe794a909, 0xf06e140e,
+    0xdb3526ea, 0x36b549bf, 0x47a0cac1, 0xeab83644, 0xf281222a, 0xe0963abf, 0xfdfd08f8, 0x5ab1b766,
+    0x48ea5284, 0x33f48df4, 0xe5073f59, 0x7489e16e, 0x2605a73f, 0x6914ac8a, 0x19160080, 0x8e8193b5,
+    0xc3f1f6af, 0xc7f98ee1, 0x12f8c4fe, 0x6e2a7a01, 0x242f6e1c, 0xfbd7e7f7, 0xd2476490, 0x79b6b313,
+    0x65e070e5, 0x52f2e453, 0x29d171d1, 0xed600b37, 0xeb36ab28, 0x8c34a4c7, 0x7d75b9b4, 0x074a5f42,
+    0x8e83bf4a, 0x794c85c9, 0x8cb23400, 0xb9ecb692, 0x210080e1, 0xef099cf3, 0xd1ccd91d, 0xf3ab4463,
+    0xf2dc5e19, 0x7b3bab62, 0xa4ae0269, 0xf3a631ef, 0xde7abe5d, 0x538f57f2, 0xee26ca61, 0xbdccfc7c,
+    0xb9125c4e, 0x76aa62c7, 0xab345f2c, 0x34eec3bd, 0x08314aa9, 0xf1dd504b, 0xf20fa2d2, 0x7b05d3bc,
+    0xdc615393, 0x3b2a8e9f, 0xd903d72e, 0xbf2e79d1, 0x0107138f, 0xa2bf68c7, 0x055609ae, 0x86ad427d,
+    0x9f6a038c, 0x742ab4ed, 0x5b861e6e, 0x25ca092e, 0x61fa5f5c, 0x36eba431, 0x53cbc74e, 0x06df8985,
+    0xfdbd2ea2, 0x003031f3, 0xc88047d8, 0x8cac46ba, 0x4178c5ed, 0xa7c3101b, 0x0b146ee3, 0x9b2e2de4,
+    0xaab053a0, 0x993efba9, 0xbedef34f, 0x45a5134d, 0x79c87ad4, 0xbc5294eb, 0x31014fcb, 0xe82c0659,
+    0x40c9ee0f, 0xbe7d5367, 0xb620a6e3, 0x18bb5097, 0x872c15dc, 0xcf1a08c0, 0x1bb106cf, 0xddcebf3b,
+    0xc70f9247, 0xa802e7c2, 0x690643ce, 0xb44ce9f9, 0x987b1132, 0x3809b8fd, 0xd25870b2, 0xf32607d0,
+    0xfe4b7a56, 0x1b22aeec, 0x4fb0055d, 0x56f48ade, 0xd901d89f, 0x2069de0c, 0x14d45255, 0xd0e9a907,
+    0x8879c1f6, 0xd4f4607f, 0xd9ce08f3, 0xd7804e8d, 0xa8436ede, 0xf22b5956, 0xf62ac79e, 0xd95f1db0,
+    0x1f2e441d, 0x19d6f70c, 0xace84a85, 0x6b915908, 0xfec8b1b2, 0x85520ee2, 0xa2c05a01, 0x83953b0f,
+    0x9ff570e6, 0xec67a298, 0x68a53df2, 0x319fba56, 0xf594882f, 0x121fe278, 0xd42283bd, 0xedd9a446,
+    0x69c0ae27, 0xa658f5b1, 0x18376fcd, 0xfdd2fa1a, 0x1e754f40, 0x03870e03, 0x951d098d, 0x51088ae4,
+    0x113f8499, 0x3effd0ec, 0xf0c6a23d, 0xb7e39fec, 0xb081f4b3, 0x43f91ac6, 0x2564f814, 0xfb11e818,
+    0xfa9dba4d, 0x2f83142c, 0x1ff84c48, 0xf68fce07, 0xbb6a6f64, 0x35ed9b66, 0x75860b29, 0x53a6fe61,
+    0x338c8c56, 0x8906cbb4, 0xf2e71688, 0x023a1e68, 0x39a6f143, 0x0b39c9a1, 0xa1c3819c, 0xc7225b98,
+    0x1f9168a1, 0xbce552c5, 0xe1c274ea, 0xce43218e, 0x5c199b23, 0xe5fcb623, 0x50a69b44, 0x2390ef26,
+    0xf35cce23, 0x0e92a603, 0xa2826500, 0x73449159, 0x9609a7f6, 0xc2e20631, 0x8168791a, 0xa424a4d2,
+    0xc8eeb63e, 0x0fba71c0, 0x0ed5821e, 0x84c36405, 0xa251b538, 0x59540114, 0x2c7a3e95, 0xce08a136,
+    0x0a46fb8f, 0x0f12c913, 0x94796030, 0xc2ddb335, 0x94550136, 0xaafe6198, 0x6d4f8650, 0x8352ae01,
+    0x41b5a545, 0x0c4144dc, 0xacd4ade5, 0x4ba43410, 0x0274120a, 0x6746ea8a, 0x83c8da19, 0x64ecb1dc,
+    0x7d7bd945, 0x557b7ddc, 0xf22e7a51, 0x926eb8a6, 0xb8a13a74, 0xb1cac04d, 0xbaa36d80, 0xd6dd2df0,
+    0x989272f9, 0xd4705068, 0xe322f45a, 0xc74a0ef0, 0x2bd95fcc, 0x5d4bbfde, 0xe93c5c65, 0xefec1116,
+    0xe7cd6019, 0x4dc28d65, 0xa3889e05, 0x414ab6c7, 0xf98a3aa0, 0x797a1145, 0xf109264c, 0xf6065eb8,
+    0x6fea4b3c, 0xaec6a332, 0x9a8dd8ca, 0xe785293c, 0x2f43ad5a, 0x75e49055, 0x46f31040, 0x41574146,
+    0x46bdcbc2, 0x10bcb911, 0xc4fa24d4, 0x4f442536, 0xf7b8176b, 0x27d28e1f, 0xf87884e5, 0x3f7de7b6,
+    0x2122e933, 0xb52abb0c, 0xbd323f07, 0x3831f1bc, 0x8850e83b, 0xa1e9fcc5, 0x4f1a2de8, 0x6ef429e5,
+    0x68b86c1f, 0x9585327f, 0xfb773e95, 0x39a8bed6, 0x708a937e, 0x27bdfbeb, 0xc6fbaa10, 0x3c99102a,
+    0x83af4b06, 0x84d111bc, 0x298d3369, 0x3f178360, 0xc1cf104e, 0x180da10d, 0x4928e3f6, 0x13e464c3,
+    0xa2a29167, 0x146d1e0f, 0x827dd83b, 0x87524cfe, 0x38159390, 0x4c8acfbf, 0xc2b1e6c0, 0xdf9c94b7,
+    0x879b3d15, 0x7855e31e, 0xe6b5eb14, 0x6e8d00c5, 0x97659a16, 0xd93721ae, 0xf5a9da93, 0x14d50235,
+    0x30bd9099, 0x448c6a1f, 0xc5e10f05, 0xe7ef4f82, 0xb9994600, 0x685352be, 0x2b7dea28, 0x5843676e,
+    0xccbbe54b, 0x82aa6081, 0xf1534d92, 0x4abc02c8, 0x29e73d3c, 0x4c962975, 0x776a5087, 0xaa56c50a,
+    0x14c74a81, 0x74e03b29, 0x386c633d, 0xa6183357, 0x5c28495e, 0xfc119308, 0xe7d1b0ce, 0x7af6f022,
+    0x1db33e57, 0x4932154c, 0xdfd487a3, 0x76b06ecf, 0xb83cee89, 0xb3676f21, 0xb08e5643, 0x2db7249a,
+    0x435943d5, 0x368b614d, 0x0331edaa, 0x0a109984, 0x00066bef, 0x597d4670, 0x1468a9ad, 0xd75c1351,
+    0x543df5a2, 0x9a6c66cb, 0xfc7f67b6, 0x11ed5f11, 0x55d1e6e1, 0x1aa5a778, 0x193a7bad, 0x06d24e82,
+    0x20a06f0d, 0x20e6857f, 0x8a9a6d4a, 0x5dc272bd, 0xf56e4a8f, 0x3ab26bfc, 0x95e1f151, 0x54cee48c,
+    0x374a7880, 0x27166515, 0xce7410b6, 0x1c21d7b3, 0x403954dc, 0x8f2c7699, 0xd42fcc13, 0x601a4dfa,
+    0x2bbe6188, 0x5985adc1, 0xa7c4d93a, 0x08362a6e, 0x50066c5e, 0xa538c064, 0xda3120de, 0x03e49bea,
+    0xd1294781, 0x1eb0a121, 0x0c4bdda3, 0xd7c8d535, 0x19521f20, 0x00d0c838, 0x5e1609ba, 0xcb120085,
+    0xf4253451, 0x7a34fe3a, 0x6ac1c0cf, 0xe6998a3f, 0xce273051, 0x41cb62e9, 0x1442e7ec, 0x58de8e33,
+    0xa45ee541, 0xebcf8f2a, 0xb9d993fc, 0x3007f813, 0x7ecd1fc8, 0x2038fdd2, 0xc0c7bdbb, 0xf122ea4a,
+    0x893e5ec1, 0x6354d8a2, 0x77d73b82, 0x1aed2821, 0xf20b61a7, 0x4d42198d, 0x8cde8c0f, 0x82d28a47,
+    0x597b104c, 0xe8f760e9, 0xed84ad5d, 0xea3deff7, 0x916f57e8, 0x6070a524, 0x1122e310, 0x74b0a861,
+    0x8cbd4511, 0xcfe55990, 0x64aee53a, 0x55a71120, 0xd8f25821, 0xda26ca7d, 0xb879de67, 0xd8fb9647,
+    0x9be0bbed, 0x7bd6cdf9, 0x5d08d340, 0x3abac2fb, 0x2c0bc940, 0x219549ce, 0x2f65f747, 0xffe8bb3a,
+    0x9034ba09, 0x82c057bb, 0x9ff3acb1, 0xcfb63955, 0x0bb150df, 0xdeedb93f, 0xbb5c6ef1, 0x8e4a4ba9,
+    0x0a54085b, 0x3cc92fab, 0x7288a27b, 0x36a44655, 0x1ba24ccd, 0x327b9c23, 0x1a707dfb, 0xaad0a664,
+    0xf435af84, 0x968a737f, 0xf285322e, 0x302f4146, 0xb2178c87, 0xb52f4956, 0x736de44c, 0x8eb9a6c6,
+    0xe1f952ff, 0x3b61fbc9, 0x25d41504, 0x1d784100, 0xb73e18e7, 0xba7f33dd, 0x0a73a04e, 0x03f5c3a0,
+    0xef2a1a0c, 0x1b961c8d, 0xbc1fe731, 0xee487166, 0x1ee8d3b0, 0x812a38e7, 0xab9853c6, 0xd10a1b49,
+    0xbcbfb565, 0x0404d834, 0x4ec77e0e, 0x6368be68, 0x6993ecfa, 0x0dc39fe0, 0x5392176f, 0xb1e82ce9,
+    0x766ffb7c, 0xbfff46ba, 0x55e724ed, 0x17dce169, 0xf3c50857, 0xc80f4f2c, 0x552a5e55, 0x8cdfce5f,
+    0xaecbb1f8, 0x9850dc07, 0x2e6ffb0f, 0xbf32e5f5, 0xbfbfb5d6, 0x2aa6d989, 0x5c5b0f0e, 0x79359fc5,
+    0x388f0930, 0x8a416396, 0x060a3d98, 0x79111f8c, 0x67ecdfe0, 0xd89ec869, 0xac24a7c4, 0x7597b1ac,
+    0x13f852ca, 0xb0587fc8, 0x7bf67e95, 0x3ec60c90, 0x05f1545b, 0x86fdf68c, 0x0bee269d, 0x5849ee2f,
+    0x31550cea, 0x73b97014, 0x0568891b, 0x9132d81b, 0x1dbc70c2, 0xf314aa28, 0x85bc553a, 0xc1620bee,
+    0x1fd25435, 0xe0a4d756, 0x45685c8e, 0x259b523b, 0x2c9565b7, 0x532fe2c3, 0xafc5c8f6, 0xc607d869,
+    0x0d148008, 0x444034e7, 0x2239c46f, 0x3af3fe7f, 0x6c224961, 0x51a21e86, 0x9ca72020, 0xd5651461,
+    0x8b415bcd, 0xadb47e85, 0xa707dd6a, 0xd30bf03e, 0x344317ea, 0xbe0d8d83, 0xd67e065a, 0x840c1328,
+    0x7621b83b, 0x91c361bf, 0xbbe198db, 0x0284198a, 0xac1ac114, 0x42d05906, 0xca70e969, 0xbd8f23a6,
+    0x56d5867e, 0x04d101e2, 0x88b076f5, 0xecca074b, 0x9a89fc5a, 0x41ed1b71, 0x518f834f, 0xd6db1b0e,
+    0x7bc2de4d, 0x836f5990, 0xf987180d, 0x5b0cfc7c, 0x3ea6a9a5, 0x87b28de1, 0xb41600dc, 0x0c81afd9,
+    0x4495ce08, 0x6c04c602, 0x71683a4e, 0xe0dc012c, 0x99e08313, 0x8f2614ce, 0xc2401dd2, 0x3e432985,
+    0xe66d1c91, 0x49a2e224, 0x9b8c747c, 0xb51db530, 0xf0d27e8b, 0x51c49d55, 0xb5eafc13, 0x0e04d999,
+    0xa959a43d, 0x1fe47de5, 0xcdbc2cc2, 0xc1acba71, 0xdedb25fb, 0xb66742c1, 0xb1ea73df, 0xe4d06107,
+    0xa47f3afa, 0xa204836f, 0xe8bb7551, 0x38db2c5c, 0x5edb0b8f, 0x2d85c98d, 0x57dad3b8, 0xcfbefef5,
+    0x22ec7725, 0x83480d76, 0xb1e50cc3, 0xb9025d39, 0xf62f3d8d, 0xbbf3f0f4, 0x7d83fc97, 0x82a8f941,
+    0x364744e8, 0x0d037e08, 0x822b7b36, 0x4fc2daa8, 0x873ae14a, 0x3ddbe9dd, 0xbf343c7b, 0x42362c5a,
+    0x434fde3e, 0xca65c591, 0x654ee192, 0xa9805ef1, 0x07783972, 0x0be0c9d6, 0x1cf38195, 0xfaaba0ca,
+    0xed2b19e4, 0x25789bae, 0x609777aa, 0x9b688d5a, 0xb3888941, 0x9c344781, 0x4e43d888, 0x1f160f9c,
+    0x773e86a5, 0xfc361901, 0xf5f3c85c, 0x2e67115f, 0x1728f5e2, 0x0b2544b0, 0xe9102d04, 0xe0ad7d1f,
+    0xc507d2cc, 0x1db99435, 0x212f51a9, 0x2e09f5c8, 0x0ba0a000, 0x2855d66f, 0x5160641e, 0x6fb9acd8,
+    0xcb0ed3bd, 0xf6e71996, 0xab86e61c, 0x0f892dba, 0x52fdefb9, 0xe8bc59ca, 0x6c3722d6, 0xe2d5daa0,
+    0xea5969b0, 0x733bb472, 0x37c2a155, 0x70b13450, 0xe46408cb, 0x649f98a5, 0x826e6494, 0x45c41572,
+    0xa560101b, 0x151142d6, 0x721cf21a, 0x9163cc90, 0x2f650037, 0xb3ce61f4, 0xef08956e, 0x734e964e,
+    0x70795f6c, 0x446a1789, 0x48a8ec9b, 0xefdb669e, 0xff170940, 0x43003fe6, 0x8e473b89, 0x9d224f49,
+    0xa9094723, 0xc313bc85, 0xd7228dd8, 0x0fd8b4e9, 0x4c23964b, 0xb590eb7a, 0x14d47d00, 0x68b0ca9e,
+    0x321e0073, 0x6bfd5c58, 0x0503a175, 0x891f14a3, 0xb18ba6b9, 0xcc52b7bb, 0x8eecfdf8, 0x66df339f,
+    0x07ef1d37, 0x676c42fc, 0xbbef23be, 0x7855ec03, 0x0d4893a4, 0x266b4009, 0x49976a35, 0xfb6f8d4e,
+    0x5b8530f9, 0x89162305, 0xba8582f8, 0xd2d82bf6, 0x0e645f23, 0xdedd7929, 0x42226f26, 0x8cf18a43,
+    0x3d5c6d48, 0x850dd1bb, 0x6ded8573, 0xf4c3ed40, 0x21bb815c, 0x3963fdca, 0xb529dfec, 0x2ad8bfc4,
+    0x5a4bfd3a, 0x93746331, 0xbab44c12, 0xb9401d6d, 0xa19ad928, 0x97c20697, 0x86095469, 0x39e86d49,
+    0x7f585cc8, 0x11bd14f3, 0x2dec70d3, 0xe9ed4557, 0xe026123e, 0x752e6e8e, 0xc9680ec7, 0xc208b49b,
+    0xcd5dc625, 0x6752c7ed, 0xfdf08085, 0xf834758e, 0x72745d99, 0x21d40564, 0xfc13b263, 0xcb68b9dc,
+    0xe8e76126, 0x73fa56a4, 0xb40662fa, 0x59cd9544, 0x0fe7f4ba, 0xed49faf1, 0xf4dcccd6, 0x54d1dae7,
+    0x96acbb01, 0x351a7c20, 0x693c6c15, 0xd8edd479, 0x8cb27c21, 0xa9a7eb89, 0xe90d098a, 0x7eebaa69,
+    0xd531ea7d, 0xe2b7af9e, 0x3b589a4a, 0x6c3a4e21, 0x28b19433, 0x2c47cc78, 0xefd035ae, 0xeb296cea,
+    0x7bddf21d, 0x7a83e9d8, 0x583d96e6, 0xdde25906, 0xed072a22, 0x96539c09, 0x798947aa, 0xab2da0e7,
+    0x3e796fbd, 0x734c2a2b, 0x497243d3, 0x82697dfe, 0x86ed5746, 0x8d9e0efe, 0xe4e34a80, 0x818b0057,
+    0xf7117029, 0xf7c162dd, 0x3a22f42f, 0x102d7359, 0x4bf59a7b, 0x542b4d1d, 0x28831ad5, 0xb9c74e43,
+    0x32f2e129, 0x8107b87d, 0x5f3efece, 0x22c10c5b, 0xccceb818, 0x2afb7dc0, 0x1c629a5c, 0x8280e766,
+    0x754e6fe5, 0x0999f0d7, 0x04909da5, 0x7e103e65, 0x88b0b883, 0x1c65e2ac, 0xd4eaa85b, 0xa0931284,
+    0x42a89b55, 0xd7829158, 0x02ceb71b, 0xb7c9cfc7, 0xb4fd0730, 0x2a4921b3, 0xff288b92, 0x13c2fa29,
+    0xb434236a, 0xfe729af0, 0xcb68d329, 0x7fe730e5, 0xc4060e59, 0xc6bcf8f5, 0xf6244cc2, 0x8d5bc8d3,
+    0x00000000,
+    0x262958b6, 0x49d500e4, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000200867255532373784442745261542645325315275374222849104412672 */
+  { 0x00000000,
+    0xdd44914f, 0xcbda5a82, 0xabbcfde2, 0xecf97f05, 0xc69ac902, 0xeedd279f, 0x6f589a44, 0x9be823a3,
+    0x20f224ac, 0xcf3eecb8, 0x3e93240d, 0x16c4bcd8, 0xae735a58, 0x6c1d56d5, 0xa0d2a817, 0x2411a195,
+    0xdf6e33af, 0xbd246dd8, 0xf39d61c6, 0x832ba1d2, 0x062deba9, 0xaaa4d518, 0xb511ec14, 0x8623e659,
+    0xdd3be335, 0xcfa721ad, 0x8bbefe8a, 0xc99a0016, 0x65350895, 0x7c765b1e, 0xbeb29466, 0xa61bbf9c,
+    0x4ff51f57, 0x7956cc09, 0xdc63f9ea, 0xf96f2be3, 0x8333ec5c, 0x4a8f6454, 0xdbfed936, 0xca216ee3,
+    0xe468e0ca, 0xbc3fd19f, 0x428b9f06, 0x56c270ff, 0xca585dfd, 0x1cc39f70, 0x5f436a2b, 0x0610c440,
+    0x9189ac18, 0xf7c4f0eb, 0x6990ff78, 0xec8dfe47, 0xf6e98036, 0xfe2ca6d7, 0xeb659ade, 0x79de0f7f,
+    0x9c228cec, 0x96231ebb, 0x5d9b0974, 0xebbd168c, 0xb06f0f26, 0xc7a90a10, 0x90668795, 0xebdf2b0e,
+    0x439562d0, 0xd4f35b47, 0xbcd465d9, 0xe3649820, 0x95e1ef81, 0x69fe0d64, 0xb1724073, 0xbdb41b48,
+    0x62830023, 0x02703e4b, 0x32674e57, 0x26b5c360, 0x5751774b, 0x87111d0a, 0x26dff2dd, 0xd23daaea,
+    0xc66898aa, 0x3be4b8cf, 0x3e02a09d, 0xdfec3dbd, 0x28871197, 0xb9b28b0f, 0x219f8200, 0x2f880892,
+    0x241d9069, 0x4d3aaf26, 0x6031fd3a, 0x304117f9, 0x7d43d639, 0x9b6d06dd, 0x875d6fa8, 0x3426ea0e,
+    0xc2c61640, 0x8b130802, 0x6b079c49, 0xc4f515f2, 0x01ef31cb, 0x3db98196, 0xf5bfb057, 0xfd39338d,
+    0x9505ba6e, 0xf5126475, 0x6e24877e, 0xf96b2d24, 0x4b9ad7d0, 0x26be6565, 0x6bf37f2d, 0x9ed21af1,
+    0x02a89816, 0x3477c396, 0x158fc854, 0x467b2118, 0x74c9b22d, 0xd2f46e53, 0xa46913ff, 0x32213cea,
+    0x7ab44e75, 0xe7d0db12, 0xf746bb99, 0x13cfb43e, 0xc7b60d03, 0x2fc470a4, 0x606801a1, 0x26d36d9a,
+    0x108bac93, 0x73a299fb, 0x60840945, 0xee619903, 0x6b07f729, 0xbaca5eb1, 0x0fc02167, 0x991a5062,
+    0x33f57c2c, 0x0961443a, 0xabbd87dc, 0x9ebe5f0c, 0x87958bbf, 0x25fcae62, 0xff37d279, 0x2d25c0e1,
+    0xb6686a13, 0xe344b929, 0x7b758ed7, 0x4d557e1d, 0xfdcb29dd, 0x4ac607b0, 0xdd32acf4, 0xce2dd310,
+    0x034af964, 0xd3abc10d, 0x861d331e, 0xfcb872c0, 0xa83405a3, 0x879dcb8a, 0xb6b1c0d4, 0xbc5eedac,
+    0x4ebe1180, 0x0a6dc5cf, 0x2bf3d3bc, 0x8ddee19b, 0x04ec309a, 0x8eddeb42, 0x1fc8fa7e, 0xb9a05e7e,
+    0xef92ba8d, 0xb66df717, 0x0d22214c, 0x6538d0fe, 0x807a97c8, 0xa1056b44, 0x7feddbac, 0x30a629b5,
+    0xa73ac8a2, 0x454a94b6, 0x5343d4b3, 0xaeae4fed, 0x0c8232ef, 0x4ed7bb96, 0x929e82a0, 0xdca8d7f0,
+    0xdef41436, 0xfd8c1194, 0xa6ac0279, 0x6b7e7cb7, 0xf9550840, 0xc96ecf74, 0x164ce976, 0x9d20c682,
+    0x930d15eb, 0x4df41bf5, 0xce73cb5f, 0x9a5dc0f0, 0x88af5a07, 0x9b579bd4, 0xf66f52bb, 0x28f23e47,
+    0x1644e1ff, 0x008af511, 0xc4029906, 0x5f45fd28, 0x0d3b5f95, 0xc76f698b, 0xce4a9871, 0x5b28620f,
+    0xdad14bba, 0x1b450a76, 0xb6e40c82, 0xf46a8afc, 0xd481534e, 0x03635041, 0x1aab40db, 0x30cc85c5,
+    0x0446d48a, 0xae154275, 0xddd2a8dd, 0x9583f804, 0x228617f5, 0xc83fc9a2, 0xf5d85961, 0x6c3c2e4d,
+    0x4635632c, 0x6339387d, 0xa4e7da21, 0x379033f0, 0x62264716, 0x818329be, 0xfcde35bd, 0x1b2b30a6,
+    0xbc5dae4a, 0x03a65f3a, 0xa5650462, 0x5d2e509f, 0x9bbf1fb3, 0xf14ab1e0, 0xf049e62d, 0xb02e7b0a,
+    0x9744d035, 0x3cb4dcbe, 0xbb7e2208, 0xe43aeeb4, 0x38c2967c, 0x20415aa8, 0x5b3725f7, 0xd1601dcd,
+    0xf686feb3, 0x953fd3ed, 0xc0283dc4, 0x445db9d0, 0x2a3aaf56, 0xa182f664, 0xc3a378ba, 0x7832ac2b,
+    0x8f1d03b6, 0xcf330600, 0x7bbdcbf8, 0x4b369d37, 0x7eceec6d, 0x88add43d, 0x654aaec6, 0x500ca4b5,
+    0x9d992ce1, 0x4a95262d, 0xb4107e00, 0x0b6402db, 0x37a15ab4, 0x828dff6b, 0xf4b2348c, 0x9d6c5fef,
+    0x49ad02ed, 0x2fd082d9, 0x49821ed6, 0xb04a85bb, 0xf655be10, 0x72e00075, 0xe6b0e748, 0xb4c6390e,
+    0x1e9683be, 0x0a4e2e8a, 0x01b4c013, 0x0f104142, 0xdc9f808e, 0x16532fe8, 0xe0adaf6b, 0xbb85c590,
+    0x23132b25, 0x57e215d8, 0x2a77f73a, 0x1052d750, 0x49446692, 0x3de4f6a6, 0xa8d221be, 0x6805f096,
+    0xa7cbc016, 0xf92c0f72, 0x0b87fa1a, 0xb52b32aa, 0x3bebaa90, 0x7642c99c, 0x76bd129b, 0x893137d2,
+    0xcdcbad20, 0x61be01bd, 0x86f17f69, 0x184aac76, 0xda8eb278, 0x96412cc7, 0x3bb13049, 0xcb72724b,
+    0x746bdfcb, 0x48c93405, 0xef6fbeeb, 0xd17e812f, 0x69ec2dc4, 0x3a1bd475, 0x29d69db5, 0x348a79ee,
+    0xf60cd69f, 0x0fcf0613, 0xfdfdc683, 0xbfa7f4d1, 0x4c5371f5, 0x41d13541, 0x6212963c, 0xe649f04d,
+    0xda8a81ff, 0xe26aec26, 0xbed89d52, 0x06d787ba, 0xd27a1b98, 0x19f60892, 0x2a8a766e, 0x6d3a6b30,
+    0x2b447ca9, 0xb40788f8, 0x59ca7070, 0xdbebfcb8, 0x73bab5c1, 0x62be2c3e, 0xd6baf38a, 0x6e6dfe3b,
+    0x176c6fcd, 0xc25ff3fd, 0x56ad281b, 0xd1bc12c1, 0xe03b1d65, 0x540baba3, 0x659dda70, 0xe65a0cd2,
+    0x99e2ef1e, 0xaf524306, 0x49dbd90d, 0xe36bba89, 0xa9d8395e, 0x1d6b553e, 0xd8ac5586, 0x68531413,
+    0x1fab96be, 0x00c4b55a, 0x84af64c4, 0x844e368b, 0x7108854d, 0x42f11e68, 0x74235f75, 0x0b6dbd92,
+    0x56913b93, 0x2c4098a9, 0x01897c40, 0x75cc07d3, 0x50dbab1e, 0x782b3f7c, 0x85f671e8, 0x6e35ff7c,
+    0x43cbed57, 0x14058ec4, 0x40952716, 0x132eaac0, 0x60e5238f, 0x4a89a92c, 0x06f59f32, 0xe456a24a,
+    0x13d34c20, 0x4594c36b, 0x7e65f6ad, 0x50723f3a, 0x7cee61f8, 0xb8fca3b8, 0x40bc1aa2, 0x70b33d0b,
+    0x4ab265bf, 0x25df3920, 0x4786a610, 0xc84d9acb, 0xb0b99251, 0x83a63f97, 0xcf78b319, 0x29120a27,
+    0x8c98fec4, 0x8b2f886a, 0x4f107b2a, 0xc392e92c, 0x68aec340, 0x6eaaa715, 0x23803042, 0x628fcaec,
+    0x38c87b3b, 0x60141395, 0x9477389b, 0x882c22f4, 0x1d24ed0f, 0x2ca3ad37, 0x8b988ac0, 0x60fafb60,
+    0x8f4dbdcb, 0x834f58b6, 0xb50e8df0, 0xaa67343a, 0x8809cc0b, 0x8fbe2d0e, 0x4c29c590, 0xacbe8c71,
+    0xd55c9698, 0xbaa636de, 0xabf264a2, 0x2bb14b69, 0x07e60527, 0x91a170af, 0xb85d1229, 0x77378168,
+    0xe282271c, 0x342c67e0, 0x5c14de60, 0x393e0538, 0xf5ab31d5, 0x2064e381, 0xf10ed366, 0x163315fa,
+    0xa8944c21, 0xdcc4a7af, 0x60c80506, 0x22d1abac, 0x8d4484f7, 0x7617b174, 0x4e23ff58, 0xda827049,
+    0xeccb5060, 0xe17078b3, 0x7d8e5932, 0xe669147f, 0xc5301c17, 0xa0ac08ca, 0x19f22839, 0xa76a227d,
+    0x3ebeb901, 0x05c095c3, 0x94ceac16, 0x1a7ec232, 0xff13bbbe, 0x3d4d62bf, 0xeae57ff9, 0x8ae84f43,
+    0x4efcb22f, 0xf7e86bb9, 0x60420096, 0x960604ae, 0x1691e7a1, 0x4b2393bf, 0xf3b53e18, 0x34239a9a,
+    0xc975e423, 0x0bbdb8c0, 0xef9abd20, 0x90a95b1d, 0xccdd60d3, 0xb14d2449, 0x8dc28e79, 0xaa3930d5,
+    0x4c7978b7, 0x24b10d7b, 0xc531b81a, 0x880452c3, 0x2d8e857a, 0x1189bdc1, 0x9b4a981a, 0x072ace85,
+    0x6003d52b, 0x7d743246, 0x3cf12c80, 0xfca48be9, 0x0a200a9e, 0x670a4a2d, 0xec5d52d0, 0x6b4d341d,
+    0xa9cfc3b5, 0xd1774567, 0x985b3023, 0x90c456ea, 0x445201d3, 0xcee73dc2, 0x55279bd5, 0x8b4ca54b,
+    0xc4c99449, 0xb1b233b3, 0x515df91d, 0x2cabe8a0, 0x7f6db572, 0x8581e51e, 0xfb22cab4, 0xeb0c2a8d,
+    0x9275bc6f, 0xa453a5e8, 0x5c80e72b, 0x116d4809, 0xbb80ac88, 0x65004ab4, 0xc33eb0f0, 0x1e1a04a9,
+    0x55897c67, 0x6e67ada9, 0x57202039, 0x80f10cd1, 0xbca4c431, 0x988ecebc, 0xae768384, 0x87174cf9,
+    0x6c10005b, 0xf891b565, 0x20ed7d64, 0x0f9c8579, 0x0b737168, 0xce3c24ee, 0x0f520318, 0x153d146a,
+    0x8846d0be, 0x1ae79f96, 0xff3d3549, 0x750c6b94, 0xe6390ef6, 0x0af9e63f, 0x8a2b51ba, 0x1140fb0d,
+    0x67306383, 0x2271c40a, 0xf5204bcb, 0x3b201058, 0x5aa3615a, 0x4eed42e8, 0xd570cb40, 0x692ab3ce,
+    0x8c39609d, 0xdf7d9d3a, 0xe386baf7, 0xd5dc4d04, 0x2772f8b6, 0x0855060e, 0x5cd5b497, 0x8e109d40,
+    0xc2f97232, 0xf4cc7b2a, 0x87ffadd1, 0xf9d244b1, 0x92b6e7a2, 0x65758bdd, 0x7cc403f4, 0xaa579348,
+    0x69076cf3, 0xcb689ee4, 0x755c1806, 0x172f9605, 0x0c26e2dc, 0xa9c67f5e, 0xa75dbb7d, 0x907ddc18,
+    0xa92bebc2, 0x3961e769, 0x490a54d6, 0x25e6fab1, 0x2fd361e2, 0x29e90898, 0xa92f04f5, 0xaf1f5435,
+    0x275c7e72, 0x38da01c3, 0x7b7282d0, 0xc1d6daa6, 0xe6a3e423, 0x808ea075, 0xf6551136, 0x8c07ab63,
+    0xccbee7aa, 0x45f22c11, 0x3b471a13, 0xede0fd3d, 0xf9c429a5, 0x5af6cfaf, 0xfcbc444a, 0xcc07b850,
+    0xcc49133a, 0xd96d3a9c, 0x50a367e9, 0x857dfb78, 0xf1dcda88, 0xbfb3fed6, 0x99998072, 0x0afaab9a,
+    0xe5a5c41b, 0x47931246, 0x12f937ee, 0x581834b1, 0xa3d7dbfa, 0x68b7322b, 0x89f187aa, 0x84b53a49,
+    0xf87a717b, 0xa6e8274d, 0x1b727fec, 0x5f26dd7b, 0x316e058a, 0x705e7a9a, 0x8dabf1a2, 0x478a5427,
+    0xb70709af, 0x8cc90940, 0x4df39d2e, 0xdc549e02, 0x7e889813, 0x43e1f006, 0x6070542b, 0x1233b240,
+    0xc3b7702a, 0x9a524527, 0xe212acca, 0x8b807d78, 0x5f16134f, 0x0b8423cf, 0x238ec401, 0x71ba1b77,
+    0x2fd87995, 0xe2dca1e8, 0xd6e08ac2, 0xc926863b, 0x2ddff51b, 0x0e6deea6, 0xdc8ba1c7, 0x6fec9a5d,
+    0xb3cd79de, 0x8c63ffeb, 0x5cefd441, 0xe5f17c23, 0xbc79e0d7, 0xe8c49d2d, 0x367c1d69, 0xee4db843,
+    0x288995fe, 0xe5fa002d, 0xc292055e, 0xb03ec657, 0x49b83a7a, 0x7bd8676f, 0xe9a73fd9, 0xa8f1f3f5,
+    0x2c395355, 0xcec7fdf3, 0x282a81fe, 0x1065cd87, 0x2750ea5a, 0x6887a2ff, 0x9569a9c0, 0x699acc86,
+    0xadebe707, 0xf697601a, 0x207cd825, 0x6f21c99c, 0x5e1cf6ae, 0x156ccccd, 0xc55eb256, 0xd24c3a3c,
+    0x48c3cc98, 0xc18b9627, 0x0d4b8b3d, 0xaaa10e5d, 0x433da3c8, 0x369d5ea6, 0xf3c263dc, 0x96347a75,
+    0x3110154e, 0xc6be39fd, 0xf079da79, 0xa40acc3c, 0x153a6a1c, 0x2436c4e8, 0x07631915, 0x45764aa1,
+    0x0d39dcb9, 0x33983ece, 0x76be9510, 0x9f95c3cf, 0x383c1b20, 0x5a4c45d2, 0xb69fa0a1, 0x9bf8e291,
+    0x7afb2a8a, 0x56a4a9ee, 0x386b69b9, 0xa861e3b7, 0xc817ed8a, 0xa350adb7, 0xc03f99ea, 0xdd5a09fd,
+    0x9a4ba09b, 0x8abce281, 0xaf99c7ed, 0x91135ff6, 0x117b42ea, 0xf443552e, 0x767ae5b8, 0xad95206a,
+    0xdfc8aad6, 0x039b10fa, 0x3f5cbd36, 0x86136192, 0x8b53e826, 0x8f74200f, 0xed68c9a4, 0x3d36ee1f,
+    0x8735f49c, 0x83d7ed6c, 0x244eab79, 0xf78c9aeb, 0xaa3b7561, 0x7dd6857f, 0x59037879, 0x34aeb1ca,
+    0x76e1d59c, 0xdda67547, 0x66a5ac30, 0xcfd65d23, 0x7d578079, 0xf2257b4f, 0x49c8e3c8, 0x33cdadea,
+    0xbdf4b6bd, 0xfffdd635, 0xe9ffb33c, 0x4f83abee, 0x74cf4a05, 0x3c8febe8, 0x3b8a8faa, 0x60b1af32,
+    0xef9e3b1c, 0x373c7263, 0x0e7dab8d, 0xe759b5ea, 0xc08fc18a, 0x2fae73f1, 0xe753793b, 0x879b2f38,
+    0x1d138ea7, 0x6357dff9, 0x33275641, 0x7eeb03a7, 0x89f8170e, 0x24268395, 0x1bcaf9a1, 0x07c2d393,
+    0x6b0c84c5, 0xe1d5714b, 0xfd0620ef, 0xc68cc963, 0x6cd69bbc, 0x909a7163, 0xe9b35520, 0xfcc26bbf,
+    0x8e6c9922, 0xa9d3d586, 0x09da13ae, 0x4ee13acd, 0x3d766596, 0xd4b4023a, 0xce0b9a6d, 0x76f12bf6,
+    0x510713b1, 0x1868ec33, 0x87489838, 0x71efe2a1, 0x8e7833a7, 0xf79fac8c, 0x7f69e951, 0x5ee81d23,
+    0x50b90d29, 0x32dfdcc4, 0xc3b3a47d, 0x2b136c8e, 0x54294ea7, 0xa5ba8744, 0xaaa88382, 0x77aa1db8,
+    0xaf1b65a9, 0x3ff2c1b8, 0xc6517a0d, 0xdf5286e0, 0xb226f35d, 0x4d5ee224, 0x41246182, 0xc1b0a5ff,
+    0x34eef23b, 0xacd5c290, 0x2458a562, 0x2db0e865, 0xe0e94d8f, 0x8aa554f3, 0xa9393672, 0x4dbbaf66,
+    0x90c79196, 0x103355b6, 0xaf70c01c, 0x2cc8283c, 0x62faaae5, 0xbe984ff6, 0x26b78d21, 0x4938d1b8,
+    0x32361afe, 0x63efa546, 0xe6b7e7a5, 0xf89ec7bc, 0x1bf5a1d9, 0xbe0f501c, 0xb3eebc39, 0x07467652,
+    0x72e45118, 0xfce3e4cb, 0x725fd1e3, 0xe48a0c92, 0x1a7c45ca, 0xaa1c596e, 0xa92d5f91, 0xfaa65b70,
+    0x3f80875a, 0xa5618219, 0x5f83a5c0, 0x5185f031, 0x50d4882c, 0x37876f01, 0x55b928d8, 0x1f6fc0b7,
+    0x62a3cf41, 0x330c8f49, 0xde53187b, 0xe079e26a, 0x1004518d, 0x543003e0, 0xd083e76d, 0xa9dfd5be,
+    0x668eff4b, 0xc0ddf3d8, 0x7b3c6b29, 0x34ebd3fc, 0x1eaea2b6, 0x406e9a7e, 0xf7f799fc, 0x2bee6569,
+    0xcfd4200e, 0xd425cc26, 0xeba7ee79, 0xc10d8ab6, 0xdf14546d, 0x2fa7a4c9, 0xf75f831a, 0xaf5ad6d5,
+    0x2dcf0d7e, 0xcaf1fef4, 0x591d5a28, 0x4a4f628f, 0xf3fc20ac, 0x79f38691, 0xebea579b, 0x36a3f823,
+    0xd78dc590, 0x4de2ad7c, 0x78f6dd2d, 0xc9c33f8c, 0x70b742ab, 0xdd057457, 0xd9c4563f, 0x6d94ff8d,
+    0x8b0cd984, 0x95e8eace, 0xebfb0761, 0x37ec6335, 0x5d8ba9c4, 0x93102485, 0xa3cd9f74, 0x6ceaff2b,
+    0x7771ae49, 0x4f5b07b9, 0xf543b0f1, 0xd5ccafc0, 0x2a2b0bce, 0xb0fb4918, 0xe4a7d3d0, 0x59f816ad,
+    0xae825dd9, 0x60fceefe, 0x26876b2d, 0x7c069078, 0x1ed8e7ee, 0x59dee9ff, 0xc229d119, 0xe65c0c94,
+    0xed6762c5, 0xa422eebd, 0x8e3a404b, 0x85121435, 0x2fdd2f96, 0x810f3135, 0xd4810c6d, 0x98062e9a,
+    0x5fb7ab78, 0x1162d94e, 0xc2a51871, 0x561f5bd1, 0x25ce1696, 0x75d03550, 0xb211d1aa, 0xa6e39930,
+    0x2a1c21e4, 0xd5e1b163, 0x78c00e91, 0x7ffa569d, 0x7dfbe770, 0x1283b85b, 0x2cd11e08, 0xd4084a28,
+    0x15489361, 0xc33793ec, 0x438057d7, 0x31b54089, 0x7f063467, 0xc7449095, 0x9956eda3, 0x5579ce1b,
+    0x522d6a87, 0x3511bc07, 0x7e34b7d8, 0x0d6ba843, 0x802e66d7, 0x6ea29912, 0xac89b461, 0xf2d30431,
+    0x430849ef, 0x36dcd925, 0xd34c7421, 0xacf3a008, 0xe6015dc6, 0xfb695519, 0xa261fff8, 0x5ea8b7e9,
+    0xb8ea9bc9, 0x93359ae4, 0x8bb95be3, 0x32c848ad, 0xf7afdc47, 0x004dd99b, 0x23affb3a, 0xd0a07e17,
+    0xf60a6a10, 0xe87fd6e4, 0x7d80577e, 0xfbd9cf9d, 0xa54e0102, 0x3e57757a, 0xdd1c424a, 0xe3b5f6e5,
+    0xa1f43305, 0x63dabf9b, 0x24fb5dc3, 0x644d7481, 0x61ef3dd5, 0x661acc36, 0xa695b0f4, 0xef77fc0d,
+    0x389635ba, 0xec7fd4af, 0xb736af95, 0x8f4a6a3d, 0x61cbde39, 0x03b76b25, 0x8313f82e, 0x6f30f084,
+    0xc3ff2935, 0x79e4b159, 0x0d73b424, 0x35ecebb2, 0x029fcc20, 0xdac747e7, 0x778eb570, 0xaeed4050,
+    0xa7f00423, 0x62ebc68e, 0xf513ae39, 0xb77e4197, 0xdb06ce7b, 0x2861da57, 0x949cf934, 0xbe3b1a65,
+    0x00000000,
+    0x1314ac5a, 0xa4ea8072, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000100433627766186892221372630771322662657637687111424552206336 */
+  { 0x00000000,
+    0xb0a03b1e, 0xac6d0174, 0xe1e2dbef, 0x10a53bc5, 0x9f3d7ebc, 0x7951b9b3, 0x5ab69fb5, 0xafc48db9,
+    0x0c5e9c21, 0x7eb0621b, 0x3897ede3, 0xc550590b, 0xcf8235e5, 0xd31110b6, 0x59202383, 0x1a822a4c,
+    0xe2feec6b, 0x06427e5b, 0x48d4edf5, 0x618a9439, 0xc5c86736, 0x5685a44c, 0x9494f6e3, 0x662afc7a,
+    0xf2661994, 0x50fb68a6, 0xdd73aedd, 0x2e5db188, 0x85ff0d14, 0x9572efc0, 0x19eacfcf, 0xf25ec477,
+    0x42d044a9, 0x426729cf, 0x5fadbef7, 0x25d72648, 0x6a1b8cd6, 0x331a7794, 0xfee018de, 0x2c7a5b9c,
+    0xa2ca51e8, 0xab844fe5, 0x4ba6341f, 0x30f148d7, 0x2261f5c7, 0x1145749c, 0xce2f3842, 0xb3126420,
+    0x6d37771c, 0x1ea664a8, 0xcc1c2d8c, 0x4e2e9e69, 0x6e5eef2e, 0xb1de4f52, 0x8e3e0240, 0xec78d64b,
+    0xc2cd2bce, 0x26b88b39, 0x91c958d2, 0xf813c586, 0x71857a57, 0x40bd5ba3, 0xbcb5a61b, 0x6f2ce59f,
+    0x9379a081, 0x59940d92, 0x6c43aa84, 0x21165cb3, 0x51537a52, 0x75b66b22, 0xed225418, 0x29273bb3,
+    0xbbdb74f4, 0x357ecffa, 0x0dfa75ab, 0xfdb7b35b, 0xf92f5d2d, 0x38c904af, 0x70b812a7, 0xc35a1b71,
+    0x83188bdf, 0x3270d680, 0x7d07b652, 0x46ceefcd, 0x910743a7, 0x69a79948, 0xa4456ea9, 0x0148b5eb,
+    0xa4b643d0, 0x9089b570, 0x9704863e, 0x8748f3bf, 0x309ba7ac, 0xff6d1004, 0x2a346907, 0xd250aa84,
+    0xc4f2abbb, 0x782e4bac, 0x5e6f7bae, 0xd19fff34, 0xc51326c1, 0xd9774f8d, 0xc5e32a18, 0xf60ddb90,
+    0xea112de2, 0x85ee5eb9, 0x4db1d0ca, 0xd953369e, 0x4b51f6f2, 0x0f12d210, 0x1c604126, 0xd104ba0b,
+    0xd5221ffd, 0x11e6efb5, 0x9a56266f, 0x4f53d870, 0x8e4df4fc, 0xefeed59a, 0x51dcff9f, 0x72070c54,
+    0xcc2fa8e4, 0x02d4508e, 0xddebbcba, 0x96236d28, 0x28523fdc, 0xdb5001f8, 0xec8aa512, 0x7af825b9,
+    0xbb232233, 0xb1b30ffe, 0xaa0abc1d, 0x7c9a55be, 0x0ecb9fb9, 0x7ca30e00, 0x1f531666, 0x2b3f7fda,
+    0xf87198b1, 0x045cfc6e, 0xdef4263b, 0x106c3337, 0xc2a6820b, 0x9a2a2858, 0xf7cfb9f6, 0x0075231b,
+    0xd5c56f66, 0x00120bc3, 0x06c3ac61, 0x0020ebd5, 0x267ea421, 0x0a133c35, 0x16866ec3, 0x3b6aaad6,
+    0x14bd715c, 0x4d103a46, 0x8656eff2, 0xa0ad7c3a, 0xde156771, 0xff82febe, 0x8945c70f, 0xe2bb830d,
+    0x8b53aff8, 0x24d5bc6d, 0x7c30c27e, 0x51d69a47, 0x081600e2, 0xb8ed7545, 0x0f6ecf0f, 0xa9a15d66,
+    0x149731c4, 0xf4cfe9e8, 0x9c037b7e, 0x8fab1b48, 0x35bbedce, 0x8b0b6860, 0x43046928, 0x7dd0493b,
+    0x9925cda4, 0xf495e9a8, 0xbd02d61b, 0xc5f8bc9c, 0x4887fd36, 0x1cd49a6a, 0xf32793c1, 0x1ad8db04,
+    0xfea92d92, 0x70d5ed4e, 0x85318036, 0x16ef7983, 0x2d267abd, 0x365e0cd1, 0x28aeb084, 0x8257c90d,
+    0xd91f8a7d, 0xa57993b1, 0x96e37601, 0xe508a492, 0x8ccbaf15, 0x502e23f8, 0xbc119a57, 0x0ce1db8f,
+    0x96fd9efe, 0x1c26edef, 0x6937b3f9, 0x252e01bb, 0xa1b7920e, 0x99e5a07b, 0xb58430fa, 0xa08c692a,
+    0x935cd092, 0xd614e3d6, 0x90b89825, 0x15dd87f4, 0x89500c8a, 0x491eaa3e, 0x5f06763d, 0x35c4d85c,
+    0x1583b3f8, 0x3555086f, 0x295825b3, 0x4613aa01, 0x6cd532fe, 0xf75a9615, 0x3e2d04f9, 0x9471cc6f,
+    0xeb58299c, 0xd1f1638a, 0x5b976f9b, 0x4ad6eaca, 0xcfd97589, 0xe234f3ad, 0x2fafd137, 0xf31762c3,
+    0x3820c2b6, 0xc71a0086, 0x928b8afd, 0xed4e5c41, 0xae906e10, 0x802f37a3, 0xfd856f85, 0xe09033fc,
+    0xc6cdf9cb, 0x97a2fe84, 0x0f27d0cd, 0x9ae42ff7, 0xebb684c0, 0x1a315aa7, 0xe6c9a89a, 0x0315b43d,
+    0x250010f9, 0x5e44b159, 0x9af76bb4, 0xc2db6125, 0x95fc6f8f, 0xfb277614, 0x678e2c8e, 0x41d4ad47,
+    0x62e3d52b, 0x4eb60af7, 0xe0cd2030, 0xec4ceced, 0x13bdf17b, 0x479028c4, 0xf89bc48c, 0x5b83ca0b,
+    0x7054563e, 0x5101ffe3, 0xa4f4a492, 0x2e2691cf, 0xc6a0afba, 0x54777ac6, 0x771cce8e, 0x6096d44c,
+    0xf1643683, 0x24ce3ba7, 0xf5dd4250, 0x27663bbc, 0xa56ef597, 0xbf30a677, 0x2149151d, 0x81ab0482,
+    0x6ce6b0c8, 0x32c63f03, 0x453e7724, 0xed7f1b02, 0x32b7e7b6, 0xce86374b, 0x48112a57, 0xad571750,
+    0x2256ef8e, 0x659c10db, 0xc02a148d, 0x27bae958, 0xa252d72a, 0x0707de61, 0x2e845382, 0x6485bc9d,
+    0x97d90e00, 0xc7424fd7, 0x89a90f44, 0x3b64adb5, 0x43d79cbc, 0x08b41c3c, 0x56abe337, 0xaa638bae,
+    0xae9b4b67, 0xd10a609b, 0xf9570ac3, 0x0134cd33, 0x875071a5, 0x6f2e54ca, 0xd6f67cc2, 0xd0261ce9,
+    0xe3e54d5b, 0x0e46748d, 0x120fbace, 0x5f0a537f, 0x340f8897, 0x56526f18, 0x997e6693, 0x7f4cb706,
+    0x87170c0a, 0x4c3e20a5, 0x5c21f44f, 0x99202e5e, 0x810ffd9d, 0xac31dbc3, 0x81586f4c, 0xe0015777,
+    0x5319e6f8, 0x442e6c90, 0x467760a7, 0xeacd0ac1, 0x2a56b054, 0x4a0d55b7, 0x3e9bbbcf, 0x26d5de28,
+    0xaf167555, 0xa186c889, 0x9c2a5a68, 0x5907b7f4, 0xead8cd7b, 0xba9b0d64, 0x4ceed3ca, 0x01786da4,
+    0x0ee97c08, 0x6983400b, 0x2477cb90, 0x3a20fc61, 0xe9eb5000, 0x0eb0019d, 0xbb31f678, 0x838c235a,
+    0x385b3419, 0x336b9b7d, 0xfdcaa481, 0x0b8409be, 0x70b5c3b4, 0x7dc6ebec, 0x4fd93d71, 0xcde17c24,
+    0x7742c6f1, 0xae542503, 0xce7ee99a, 0xd4b2699e, 0x316887f6, 0xd8ae078d, 0x9df482b6, 0x41159fbc,
+    0x4deb4026, 0xa2a5ff7a, 0x9e1d049c, 0xff07d606, 0x5cc9d19d, 0x100209e1, 0x55ceb2ef, 0xb7580a8d,
+    0xc5264a1e, 0xcb4e49df, 0x923736d7, 0x1ccaf44c, 0xc24a49d9, 0x04569baf, 0xc60102c7, 0xc37f0540,
+    0x4d228d61, 0xcde63402, 0xf68a4154, 0xa25cbaa1, 0xc4e42f91, 0x55834f96, 0x910071e7, 0x67c68fe4,
+    0x7f2087f4, 0x485e49b3, 0x6f3f89d6, 0xb85cf8eb, 0x0eac2f30, 0x7980712e, 0xde0ee8b7, 0x37af7e6b,
+    0xccb7dcc6, 0xe3778f10, 0x8538e861, 0x3422d675, 0x773d31fe, 0x5cf04c3d, 0x011e5350, 0xfd352737,
+    0x6e0048ce, 0x49ecd471, 0x16e14c0c, 0xf196021b, 0xf2b295af, 0x2abdbace, 0x848f0315, 0x8107a00c,
+    0x0f8bb62a, 0x836c8e18, 0xb7728fbe, 0x4a3bcb24, 0x8ab461e5, 0x70700513, 0xbd59211e, 0xa32d2f71,
+    0xd390e110, 0xad5591f0, 0x629f566e, 0x97203b72, 0xdfa65ccf, 0xa1ce8c25, 0x3cfd2588, 0xd4bd421b,
+    0xc34db897, 0x11b1a132, 0xa5547bad, 0x094ad52b, 0xd261f9a7, 0x67ada04a, 0xf7bee0f3, 0x0d818ee1,
+    0x88aca64f, 0xa1e37bf9, 0x2a949ab2, 0xa6ba3c4c, 0x5275f02e, 0x03fba079, 0x905140d7, 0xd1d66c82,
+    0x943a4c7d, 0x14a14a7b, 0x76eb8d5f, 0x8eb9f2e5, 0x7caabb0b, 0x95789d6c, 0xa903da3f, 0x9b29b957,
+    0xf4636708, 0xfda011e7, 0xae456791, 0xb5f7889f, 0xe958df8e, 0x7e2324ef, 0x78cd5d80, 0x17ca072f,
+    0x6d935290, 0x36584aa6, 0xe6054d5e, 0xfc3eb8fb, 0xd5dc9e79, 0xe502ed57, 0x0b349477, 0xf65b4a5e,
+    0xec043d94, 0x67cf74af, 0xc348cae4, 0xce6e33d3, 0x1a1fcd98, 0x526015ff, 0xfe40aeb6, 0xf60835b4,
+    0xb0ea6dfd, 0x45344dd4, 0x34bd8e8b, 0x7f43c969, 0xf077d37b, 0xc73a819d, 0x2f80c80c, 0x86bd9cc1,
+    0x23cd7102, 0xf919ec94, 0x79bf7cd8, 0xf02113aa, 0x99a92c02, 0xe4513130, 0x7e67b4e4, 0x30e1787d,
+    0xa3e4be7b, 0x7715aa1c, 0x5c82beb4, 0x72ae9795, 0x8931f613, 0x774d6e78, 0x86686e65, 0x67e47e81,
+    0xafdf219c, 0x40526ffa, 0x623d4086, 0x205f8c7b, 0xe4988ec7, 0xd051b64d, 0x5843f4eb, 0x6b9e8370,
+    0x97a2cc50, 0xbc9710af, 0x4f872224, 0x51305af6, 0x33a54ee1, 0x388dd90b, 0x1dc56598, 0x0dbed7b9,
+    0x1ba560a6, 0xad6f427b, 0xac153a1d, 0x7cd42e8f, 0x8feeac27, 0x2f72fd5e, 0xa5752c14, 0x1273a679,
+    0xb65d9fca, 0x3f1d0d2a, 0x1bdf0cbd, 0x66eb815c, 0xedf148a7, 0xdddfdddb, 0x574f18af, 0x476addf5,
+    0x25aadcc4, 0xdf899af7, 0x952d7b82, 0xbea05c94, 0x1690ee4a, 0xb8cd6d08, 0x5ed3d934, 0x587579cb,
+    0xa305c2ac, 0x127b164d, 0x5892720b, 0x8c1df26e, 0x6dca87ee, 0x9bb7016c, 0x2227473b, 0x19acda83,
+    0xff03fce9, 0x0a69a2c7, 0x1a2e6db6, 0xe6b21f2b, 0xb6773c99, 0xf84bdb55, 0x2a14d83e, 0xd2242da0,
+    0xcc4f7c5b, 0xd4a4eb4c, 0x93e622ad, 0x34d09333, 0xbb214392, 0x357d0bff, 0x3b1c8686, 0x99cede14,
+    0x496b66d8, 0xe3d04f37, 0x3cca4bd7, 0x190de547, 0xc941d790, 0xf040716e, 0x474423bc, 0x710d97f9,
+    0xe7d0258a, 0x6e3d178b, 0xb0d168fe, 0xf22b98ad, 0x64d43e5d, 0x824ac157, 0x70fcd35f, 0x5b08e1a3,
+    0x50efc838, 0x16fa518a, 0xa0d1c0d0, 0xdbce67bb, 0x8cf1f9b6, 0xb4d4ec50, 0xb0fc7dc4, 0x6b68bfbc,
+    0x91fb5909, 0xd23a3924, 0xc86be881, 0x4f955e1a, 0xeadc64f3, 0xba207c55, 0xb8562fd9, 0x05d84026,
+    0x14450a0e, 0x6581f97c, 0xac36ed16, 0xacf23abf, 0x7b328e0a, 0xb680cdfb, 0x448fbb61, 0xa579a4b7,
+    0x52bb25ab, 0x951703b2, 0xcb5cf9b4, 0xe6e34e80, 0xe35d91f3, 0x6e5cb5a6, 0x47942f74, 0x98325e38,
+    0xf5029950, 0x3df59c3f, 0x2f214631, 0x86ea7498, 0x73a76759, 0xf7869432, 0xacd0f489, 0xb7828c22,
+    0x1df9ef2b, 0x3aafda2a, 0xde084c54, 0x1486ec20, 0xcf8436c5, 0x0569d36b, 0x07804d55, 0x19e105af,
+    0x61605412, 0x4e72b513, 0x48972a26, 0xfc59c740, 0x6c8e896d, 0x2577ba5a, 0xd9cac0bc, 0xcb8f1dd1,
+    0x556759ca, 0x7f8b5ae0, 0xf0565036, 0x804a4ea3, 0x4df065f4, 0xbde696ba, 0x015bc18a, 0x13ec3c42,
+    0xbeb5b1ce, 0x59001f6a, 0xd626626a, 0x56b08ae7, 0xd5dc5de8, 0x3d3bb87c, 0x906ce271, 0x0ed7a44e,
+    0xeeb76efa, 0x4369d14b, 0x1aeba12a, 0xb3ab0af3, 0xb245b558, 0x069a572e, 0x299c8491, 0x9b751bcc,
+    0xe407ffad, 0x3c14f87f, 0xbed65dd4, 0xc8082c05, 0xa7b71ed7, 0xa2f1bc91, 0x628179fa, 0x1cfa3f05,
+    0xa4373be4, 0x02679767, 0x72010ade, 0x1b7141f2, 0xc1cc9458, 0xe86d0a65, 0xdce5b146, 0x9f1da12a,
+    0xb5750e8a, 0x70e675b2, 0x8d502b53, 0xc271da7c, 0xc1daba3b, 0x1c42e469, 0x5f10eb1b, 0x1e7d1d83,
+    0x16b36f1d, 0x59cd3c8d, 0x4bf89d20, 0x28cb217c, 0xcb6e0db4, 0x6356b817, 0x047f476a, 0xc24ea9b9,
+    0x40da5c8b, 0xec2b63d8, 0x2189cf4f, 0x5fc6e242, 0x3e3e2980, 0xe97b01fc, 0xff8fc733, 0x27640ebf,
+    0xd12bf426, 0x30f88224, 0x6fd386c4, 0x210219c6, 0x4eb91790, 0x3ed32ba3, 0xf2d70bd7, 0x936fbef9,
+    0x477d6e8f, 0x8d8e52da, 0x9c956802, 0xcdd85697, 0xcd7af963, 0x91b37f90, 0xceccc24e, 0x2792c2b2,
+    0x4df43451, 0xde68edd0, 0x37d6f303, 0x25ce264c, 0x78d8e1c4, 0xedaed1ec, 0xd858c9d9, 0x82e97a96,
+    0x617d1b36, 0x1f03a82e, 0xd1cb24a1, 0x12dd3fb0, 0xe3c9b339, 0x8486fa4a, 0x92862dd3, 0xfc20b332,
+    0x7d158cd4, 0x877b5a03, 0x397fdb9c, 0xce03a26f, 0xf7477998, 0xe61af746, 0x847775b3, 0xe183cd91,
+    0x6f2d4b48, 0xeeebb57a, 0x3674fe16, 0x27a497fc, 0xf15c84e0, 0x91f3cb7e, 0x1463b2b6, 0xdb0722c7,
+    0xee22d088, 0x9977cf19, 0x288f2946, 0xf641ac70, 0x68e9747a, 0x891ea768, 0x44156a25, 0x78f2e53d,
+    0x147488d2, 0x1bbda0d5, 0xd4181dce, 0x751c2daa, 0x0d13b5d0, 0x01976918, 0xb812af10, 0xc2a756f9,
+    0x3f5102be, 0xa65bcbc4, 0x2a20f84c, 0xe548e7d6, 0xddbbb62a, 0x7b53cb9d, 0x3ac84494, 0x9f6d89d0,
+    0x4f5342a0, 0x6e67a843, 0xd01a3abf, 0xfcc7d187, 0xb1ebfb1b, 0x931cd5ab, 0xaa1ccd92, 0x5cdeb719,
+    0x2cc11a82, 0x1e603cea, 0x0362741a, 0x47456745, 0x279926dd, 0x90b4f43e, 0x4e1aebc2, 0x21870e8b,
+    0xa367fc13, 0x05052b94, 0xcac26086, 0x1a1b5c8d, 0xcbefa425, 0xd237116b, 0xf9a99e2d, 0xe9387408,
+    0x9dbc849b, 0xbf1ea76d, 0x766fb9b1, 0x15bc87c7, 0x23b166e1, 0xec886f8b, 0xa18cccfd, 0x8111e80a,
+    0x8844d65e, 0x23edf588, 0x3a88d27a, 0xd669d497, 0xb444bdc5, 0x5473439f, 0x480324eb, 0x597f258b,
+    0x3959677c, 0xb6a40b5d, 0xeaec7f0d, 0xd5618cf7, 0xf7e33f78, 0x66f8cd52, 0x41819b3f, 0x660ac1ea,
+    0x9ea4bdbb, 0x50105549, 0xec5f9f70, 0xd58e3bd1, 0xab060dde, 0x4a6d48e7, 0xabccb9a7, 0x7a287c57,
+    0x4348fe25, 0x85ccd36a, 0x817d3392, 0x7227e5ae, 0xbf4eab1b, 0x483a655c, 0x9d71e93b, 0x1e28f2a0,
+    0x245a3caa, 0x4eebbe0b, 0xf19aaf6b, 0x84f483b5, 0x907908fa, 0xb9155378, 0xcd64c9d3, 0xa36f4893,
+    0x706f9d40, 0x743e9bb5, 0x3a2fcdd2, 0x89317adb, 0x2ed06a52, 0xc801c037, 0x7f0bee75, 0x4e241f1e,
+    0x1b65e132, 0x4ad86b44, 0xf74416d2, 0x9a61f809, 0x9ef24c1e, 0xeb842a46, 0xf02234ba, 0xc9b96155,
+    0xfd1d528b, 0xa710a512, 0x92a2e2ec, 0x0da8ea7d, 0x35837dba, 0x137c84b8, 0x10ccbfb7, 0xb73ca0a2,
+    0x7f4db70f, 0x30ce0093, 0xa0ab82d0, 0xa834a851, 0x24a44fdf, 0xbd853b95, 0xab969058, 0x6a97539e,
+    0x1879fcf3, 0x45347949, 0x6de33ee3, 0x9a15e0a3, 0x6c8a81f2, 0xd6d72a02, 0xfccee2c0, 0x5ecb2e9c,
+    0x132b1443, 0x477596ec, 0x7ea4b906, 0xb4ba0695, 0x121e3b61, 0xfc12cd8b, 0xec363bc7, 0x5d535431,
+    0x14f9a126, 0xbb8b95c2, 0x12d250bc, 0x4ffcc320, 0xb49c9a04, 0x59fcf912, 0x5180483c, 0xfbf3b493,
+    0xb1ce230d, 0x77cc14d4, 0xd2fd17cf, 0x242f8695, 0x784f0349, 0x8ca6a28b, 0xac29ec62, 0x65d15d67,
+    0xfd8859c5, 0x8dffc0b7, 0x9112e676, 0xa004f8be, 0xdd6e09e2, 0xe36eae2b, 0x48777e1f, 0xcaeda1e2,
+    0xc110545d, 0x4334110e, 0x509bf50b, 0x2cb3022f, 0x00751758, 0x9b1f78af, 0x74edd2ce, 0x9cb8ee8c,
+    0x451eb212, 0xcb2b5378, 0xfef1d736, 0x076b0e79, 0x47d35be5, 0x2ac0389b, 0x1f601a56, 0xe5d7680e,
+    0xcb0f081b, 0xfb667116, 0x33f422b9, 0x855f1833, 0xa8f5ddd9, 0xf14e13bd, 0x12cabdc9, 0x284524b2,
+    0x7f2adf47, 0x5ca3e3f8, 0x831f0096, 0x41382294, 0x7214eea0, 0x15786d6f, 0xfe591fea, 0x8866b404,
+    0xdca7d359, 0x1a98a747, 0x82b9f666, 0x3631c0cc, 0x6d094b06, 0x710e2937, 0xc6a22ec7, 0x785bd8cf,
+    0x30af23bc, 0x5ffc4107, 0xc33e0ea7, 0xa037c6ec, 0x5f2bbeda, 0xba0a7a58, 0x98ceb14f, 0xcd0534dc,
+    0x49ad8ad3, 0x5571698c, 0xec8e7794, 0x9ec19440, 0x64bc0c77, 0x79ed6101, 0x95d582cf, 0x237367cf,
+    0x1e2e61dd, 0xfe30889e, 0x07b17705, 0x47bca708, 0x2afbde05, 0x139e34fb, 0x37e6ad8d, 0xcb47d8d1,
+    0xbedac96e, 0xa5ecb0d6, 0x14c7a56a, 0xef1e900f, 0xe7848235, 0xc0335cf0, 0x35687b27, 0x2a95a490,
+    0x6f7b3ad6, 0x36732f47, 0x3ddf3a25, 0x416f2b50, 0xd6bd5879, 0x6e4155a0, 0xf828cd96, 0xd2d16035,
+    0xfd2f090e, 0x2f1ee2ef, 0xe248c101, 0xd6f9b7a1, 0x181ba9ba, 0x6ec25b20, 0xe0edba9a, 0xdcadc16e,
+    0x00000000,
+    0x098a562c, 0xd2754039, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000050216813883093446110686315385661331328818843555712276103168 */
+  { 0x00000000,
+    0x9a64d172, 0xaec56bed, 0x5a9816f4, 0x17984dde, 0x05330195, 0x47d6b646, 0x8376d809, 0x6b792845,
+    0xa0c6a721, 0x50caf071, 0xb291abd4, 0x29e6ae98, 0x73db3ec0, 0x108a0520, 0xa474a061, 0x6f1979bd,
+    0x648d84ca, 0x2d3bc992, 0x661e5dc3, 0x2bbd2a2e, 0x50f1158e, 0xc69ab7ff, 0x7ac9d1f6, 0x4c5ec04d,
+    0x7ca26c90, 0x0986b071, 0xb5e8af6e, 0x0f2367e2, 0x0d88fad9, 0x54fc2844, 0x856e7f0a, 0x76779853,
+    0xb1914e45, 0x3e212f44, 0x72e9d443, 0x69dc87b3, 0x4e331fcc, 0x78dbb4cf, 0x0a409475, 0xa0dcb1f0,
+    0xef798986, 0x691d2c28, 0xc1cf2a4d, 0x1d025ecd, 0x53ae90a9, 0xb59b2f90, 0x45873408, 0x2ca5f379,
+    0xde0363ad, 0x2d8f35f3, 0x628e35f0, 0xa7ae01e7, 0xad43f3f4, 0xb70b6d2f, 0x89a7f10e, 0x605bb97c,
+    0x29f8d415, 0xa7f80c51, 0x1c12e533, 0xb4762cbb, 0x28976d68, 0xac080e31, 0x33ed888c, 0x2162ba61,
+    0x1eff5b18, 0x14d802b5, 0x78af1c6d, 0x8965545b, 0x15615f44, 0x4418ddca, 0x3802db9b, 0x22f73574,
+    0x46dba8e3, 0x30c2ac3e, 0x3dd74a9e, 0x396629dc, 0x636d645e, 0x767a23e0, 0x06b3254d, 0x01d39f7a,
+    0xe93f6fa6, 0xf7e799d5, 0xcbf66c57, 0x1139b547, 0x9233ec9e, 0xafedc0ea, 0x5f5d0364, 0x47a50414,
+    0xb82df191, 0x3c404871, 0x2a6cd567, 0xd6314998, 0xa2f30c45, 0x72319b16, 0xbd5e8516, 0xe33d0c25,
+    0xd71c4164, 0xe42b24b6, 0x4c09a93e, 0x92917935, 0x203f7cbe, 0xec1c35fa, 0xe2dda368, 0x94328107,
+    0xa47c2f5a, 0x53366eaa, 0x657f28f4, 0x0944509d, 0x7412a2f3, 0x2fab7d39, 0xea7256d7, 0xc18c438a,
+    0xc89ed7ed, 0x8d94b1ca, 0xe373d7b2, 0x96e74877, 0x6ba8bc9c, 0x1df26187, 0xcec516f1, 0xa116548d,
+    0x8829bb8a, 0x2f2ec1c5, 0xacc6cee1, 0x7cae8e5b, 0x312ffa36, 0xfe4f54bb, 0xddc3478e, 0xac105e2d,
+    0x2c5cc7ad, 0xd2f5a621, 0x963785b1, 0xcc8a0e1c, 0x6c5262a7, 0x4acfca33, 0xa52af9d0, 0xd74b26e0,
+    0xff9f05a8, 0xda8a7782, 0xc9b7a084, 0xc0b7a9cd, 0x58de3a53, 0x55b67622, 0x4f48cb95, 0xd6e421e9,
+    0xcd5e9997, 0xf409bf82, 0x1e51a38e, 0x964c29f0, 0x9ac4bb99, 0xc0103f9d, 0x40096b9b, 0x32dfb0a9,
+    0x5be16304, 0xd23a4f2b, 0xa5171b6e, 0x20477054, 0xe26a358d, 0x3e171474, 0x700fb9da, 0x6ce312d9,
+    0xb9239a89, 0xafe4cdae, 0xf977ae3d, 0x84f34893, 0x08a3fa33, 0xe014ca30, 0x059458f4, 0x0e94c628,
+    0xdd144875, 0x149d04ee, 0xdfaa9fa5, 0xb383d815, 0xf5e9ab7a, 0x805a88e6, 0x6d6e5bba, 0x46e5674f,
+    0x75e3e5af, 0xe7499190, 0xcc4f4400, 0x5f1b25e4, 0x609c7ea8, 0x4166d7b9, 0x64321b10, 0x317e5676,
+    0x5e107d75, 0x0e7b5d39, 0xf9c8a9b8, 0x43e57244, 0x7f67ff56, 0xa4ec6811, 0x74991604, 0x5155b312,
+    0x89881efc, 0x06b31bef, 0x8bee22db, 0xbe6fd4bc, 0xe3656a71, 0xc1aca142, 0x9c3e9c24, 0x746d8adc,
+    0xde9bce49, 0xa289e289, 0x06c5a350, 0x4e92ae85, 0x4c077868, 0x86b3c9da, 0xfda7b4be, 0xb998fdeb,
+    0x02862036, 0xdb1707ea, 0x619c8c3a, 0x34a1ecf2, 0x0605f7fd, 0x2cd428a0, 0x615e1b93, 0xb3c75896,
+    0xd1da7976, 0x93ea7e1d, 0x57388cd2, 0x39a669d0, 0x96efe69d, 0x79872fef, 0xf71e96b4, 0x54d66a2d,
+    0x6f929d8e, 0xbbb46b48, 0x3e9d3ac5, 0x4126026e, 0xce072a93, 0xfe092591, 0xcb5df3d4, 0x44805a0d,
+    0x4a1c3470, 0x78f1e350, 0x6fbd2fab, 0x272719ec, 0xf40db9fc, 0xd0e596c5, 0x1acbd7c6, 0x5881f3f8,
+    0x8461276a, 0x5a4bcbd4, 0x08fc20a2, 0xc6dd72e6, 0x26d5aa77, 0x70647e05, 0xb1d535f9, 0xd2964805,
+    0x7827eac6, 0xeb8ff9ff, 0x7ccfc94a, 0x9252c0a2, 0x4b9fe05a, 0x1e161253, 0xe8b4769d, 0x6474e035,
+    0x7da36a40, 0xc7f934f1, 0xd3bddee8, 0xdea4dc44, 0xd19a4fc5, 0x70a3872a, 0x78abe3e2, 0x7430e283,
+    0x1ac04bb8, 0x5722dd46, 0x15c3f40b, 0x26556110, 0x1e09fa16, 0xd0aabfad, 0x856db6c4, 0x612e2e1e,
+    0xac45275e, 0x3aed365a, 0x549f6818, 0xa46ab607, 0x3c91b8e3, 0xddc0dfe7, 0xdf5d0749, 0xfaf8d4f6,
+    0xc143fc9b, 0xa568640e, 0x3008dbd4, 0xe97650e1, 0x6af052ad, 0x60f81807, 0x57ac49c8, 0x5646d529,
+    0x23b21122, 0xf4d886f4, 0x32ba9a82, 0x71d9077b, 0xed77c573, 0xf6e90ffe, 0xf1a86c67, 0x34150f68,
+    0xc3e71fe7, 0x12419049, 0x4bd5d7ae, 0x5bda71b0, 0x04c521a8, 0x016148c4, 0x10718767, 0x0fb54ede,
+    0x9ae48166, 0x2d038110, 0x984d38b9, 0x51ec7599, 0xd108639e, 0x00b83e63, 0x16e26789, 0x19cb3788,
+    0x623a208f, 0x0d6ac77e, 0x72bd0cc3, 0x4058094e, 0x6d96c5e6, 0x2ec28424, 0x4d70a70d, 0x921e0ebd,
+    0x82fd1d5d, 0x7c24ea51, 0xcb6fe7d0, 0x905466e3, 0xec06a4bf, 0x77141052, 0x7fe5826f, 0x44ff7aae,
+    0xf2de4fe5, 0x83ac0df3, 0x49fbcfc7, 0x224e82fd, 0xded81220, 0x2e5adee1, 0x6a9e65e8, 0xa7eadd2f,
+    0x835b208c, 0x18356aee, 0xbe001b80, 0x8fae5337, 0xe791067b, 0xeb22c2da, 0x3079ee03, 0xb1c1452e,
+    0x6068585b, 0x3773b0c9, 0x9b36a599, 0x286d94b6, 0x034d0db3, 0x72ac17c5, 0x4fc362d4, 0x8cff130b,
+    0x63c6420d, 0x41a3f845, 0xd6868306, 0xdb35199d, 0xed39aee6, 0x80cf0b9f, 0x18656914, 0x415bd0b4,
+    0x3213619b, 0x2e937fdd, 0x47b08f58, 0x40f56d89, 0x1acd470e, 0x0c05b2e7, 0x1499a894, 0xc0d6d984,
+    0x73fa731e, 0xb313fc4c, 0x5746d846, 0x4b474ff9, 0x9780e62f, 0xb4209c4d, 0x2ed5dbd1, 0xacbf01ed,
+    0x5d056935, 0x446cb850, 0xae588040, 0x79a006eb, 0x4e14d2c1, 0x3458c520, 0x42d6c650, 0x8a04ac51,
+    0x01c999ab, 0xbfa866e5, 0x08563a4d, 0x9ccca8d5, 0x8c8b2c0a, 0x04f66a23, 0x5a5c450f, 0x6c97c9d0,
+    0x7ea7df4f, 0x91051adf, 0x4179f7b4, 0x54141e42, 0xabfcd287, 0x6c254937, 0x68b4270d, 0x2ac86305,
+    0xa844c15a, 0x4ee05f97, 0x22022e28, 0x41910fd4, 0xdbc49349, 0xc926e617, 0x77e7e7ec, 0x668dac80,
+    0x697ef8da, 0xd744078c, 0xd4ab6a4e, 0xc7fcaa32, 0x2b7adef2, 0xc6d972cc, 0xc3a9178b, 0xeac30257,
+    0xf54def31, 0x700c55a9, 0x0f244ecd, 0x75787cac, 0x7503a3bc, 0x7aebea20, 0x303c7c3a, 0x95cb93f9,
+    0xe633ddd8, 0xc9e6c6b8, 0xb438126c, 0xfabeda37, 0x1e8181c3, 0x77286075, 0xb2e6353b, 0xc0b82d6a,
+    0xb66ba0ee, 0xa78ed3f6, 0x679d96ab, 0x05579e63, 0x8d567b36, 0x2ffc6bd5, 0x81731615, 0x15c29d15,
+    0x75843410, 0x0a8e9eaf, 0xf9ae5a4a, 0x4f4305d3, 0x7f4cbe6c, 0xfa9581cb, 0x24692de6, 0x91c9d5a3,
+    0xcd785923, 0xb7c1fae9, 0x72539cab, 0xcc1f204d, 0xc2d7949f, 0xcc91e8db, 0x65d9372e, 0xff7a62a9,
+    0x56567bda, 0xe26677c4, 0xc86ef861, 0xd5fb3eaa, 0x24e00a2b, 0x5037f3ea, 0x0d0dd47d, 0x610accc1,
+    0x544de3ee, 0x4fa8da06, 0x302668d6, 0x31eeb06c, 0x69a0531f, 0x6a7573cb, 0x2fd90652, 0xd2545ba0,
+    0x936605e5, 0x60340943, 0x084eeb75, 0x22962336, 0xbdc7c3b1, 0x3de56f8f, 0x1ddcd634, 0xde51de88,
+    0x75aaa677, 0xcf75bf5d, 0xcb94426f, 0x968fc2b4, 0x6e04f7b8, 0x9038117b, 0x0c049493, 0x8a9e123f,
+    0xe27a6049, 0xb5826e0d, 0x9403b4c3, 0xc9bbfeaf, 0xa63cc088, 0x1fc5d984, 0xe5fb2e60, 0xa6298411,
+    0x272dc0e7, 0x41624e04, 0x8156c537, 0x8f321c3c, 0xa7f890a8, 0x7c92f50f, 0x807d50df, 0x7bd42523,
+    0x9bb07653, 0x2f9271b0, 0xacb93e95, 0x0aadb108, 0x9c276923, 0xca0c5078, 0x7c42dd35, 0x03f151ef,
+    0x85bc32d1, 0x1e5ebb89, 0x81599b60, 0xa1268041, 0x4df8615d, 0x9fa992d7, 0x24a2a41a, 0x31275815,
+    0x6b44b4f3, 0x1dc7c715, 0x9bec81fd, 0x0e9ccc54, 0x8e777785, 0xab372404, 0x85a738a1, 0xb0957739,
+    0x82b4d661, 0xaa906eee, 0x8eefadfc, 0xc0dbaddf, 0xff52e831, 0x62a70b70, 0xde72893a, 0xb92696bb,
+    0xa8ff1ba6, 0xbc7a3031, 0xaba029cf, 0x89ef8788, 0x012d4b60, 0x63f42b3a, 0x3c646bf1, 0x32fbef53,
+    0xff7a637b, 0xd139f2a4, 0x938b0d3f, 0x12eb6bc4, 0x1dced96c, 0xd29360fc, 0x765c89b5, 0x2c7927f1,
+    0x0ca87185, 0xf1e896e9, 0xbda498f2, 0xf4589159, 0xb12e6300, 0x8f1b26ca, 0xd1f369a8, 0x493e859f,
+    0x0a750c70, 0xf858e852, 0xa1597b72, 0xf2a11172, 0x055583fa, 0x63a1f9d4, 0x322a1f4c, 0x890f43c6,
+    0xf00201b0, 0x71914df4, 0xe4246f97, 0x0d719013, 0x3bdf070d, 0x83892c93, 0x67082f61, 0x6499559d,
+    0x598ac741, 0x246546ef, 0xfca39010, 0x11b83470, 0xe33310b4, 0x207dc4f2, 0xdc94c8eb, 0x15792c42,
+    0x6ab173a7, 0xda38be22, 0xf2fc7318, 0x3a7b3e6d, 0x328027bb, 0xe3c55900, 0x1a665867, 0x7290f77b,
+    0x436cf0b3, 0x105a04b4, 0xbbd4aeb9, 0xc1dfa739, 0x0fefc94a, 0xda5fb7fa, 0xc4c11420, 0x1d2cacba,
+    0x9174e122, 0x2a4b2e27, 0x1288bd15, 0xa4c80646, 0xc3e23c6c, 0xc7516e3c, 0xb1ffb89c, 0x310f8f7a,
+    0x9aed29bc, 0x3008d415, 0xb6ce4a84, 0x4b735f45, 0x5a0eafac, 0x550ce811, 0x8e25616f, 0xe1bea6e4,
+    0x2aa1ebdd, 0xdd8e2564, 0x4a5db27a, 0x1b9d497d, 0xe43a6ab8, 0xe300fe88, 0x6e9be193, 0xa47d40f5,
+    0x6e421a24, 0xaa9de045, 0x78ab5ded, 0xd8f1da16, 0xdf132742, 0x32d8fa25, 0x11d30f60, 0x1eeeb8e1,
+    0xf0a28bd6, 0xa16b1e45, 0xb7e2687b, 0xe5228067, 0x591c2dff, 0xf982d51e, 0x152bdd11, 0x35ce508d,
+    0x678f5035, 0x26475fb9, 0x3701a0a4, 0x457bd912, 0x12108ce2, 0x58362d24, 0xa78c3c60, 0xe14db9e4,
+    0xba957065, 0x18d9cba5, 0x71945f35, 0xf4c9f6f8, 0x7b64af15, 0x36fd1c53, 0xdca2c764, 0x12a78e07,
+    0x1f5f08d1, 0x921dd9ca, 0xdf909adb, 0x8b6cf9a1, 0x925d9743, 0xb513455b, 0xda81b40b, 0x1584f3d5,
+    0x111fa87f, 0x3d6943b4, 0xf1438010, 0xe3125d5e, 0x2bfd399a, 0xc50d1687, 0x1daf8940, 0x634af71e,
+    0xab70599c, 0x4840efb9, 0xa5e583b3, 0x17af1774, 0xdee824a6, 0xa36d32d2, 0x5cde8f84, 0x599f65ae,
+    0xc12ce1cd, 0x7a95710a, 0xe77afa23, 0xa4cabf30, 0x65f02182, 0x46ea9b08, 0xaa399667, 0x9eb3ed5f,
+    0x8db8c7e6, 0x715fd14f, 0xfe6388fe, 0x7f4ecc2c, 0x29471ee9, 0x6172763f, 0xfc6e578a, 0xbcb309a7,
+    0x2287c86a, 0x6c10cbe7, 0xd996f9fa, 0x61340ea9, 0xe1921a8f, 0x8556248c, 0x59f15eb2, 0x82a9fff5,
+    0xeaaffa9b, 0xc23a1b42, 0xdb536924, 0xc630c6f0, 0x58fb156b, 0x27558acc, 0xf8efbdc6, 0x5f5c9c13,
+    0x588894e6, 0x82d98c21, 0x0422e620, 0xdbf981e6, 0x5289e7bb, 0x670204e6, 0x9f6b2a68, 0x72aca01b,
+    0x6d5b22de, 0xe42b25e1, 0x647daea3, 0xd3e2d100, 0x4d9d3081, 0x6acb8fc3, 0xb68d56a2, 0x34818c2c,
+    0x92f01111, 0x7a1f1e9d, 0x3e1a3e17, 0x3f39b270, 0xf9234800, 0xc0578c69, 0x767a9565, 0x9e897d3c,
+    0xe353cc08, 0x5fc39f5a, 0x44827838, 0xd81889db, 0xcb0b0cfe, 0x2c47bd15, 0x4cbeabec, 0x27b94b42,
+    0x2e0db3b1, 0x28499c0e, 0x115e1c1d, 0xc3a8a6b0, 0xf0317feb, 0xb3fac1e9, 0x0306e808, 0x9eb63528,
+    0x5eab7d09, 0x6a6edc59, 0x931a31ea, 0xe28e58da, 0x9a9325b5, 0x5781b897, 0x74f52208, 0xea691085,
+    0x65c4e02b, 0x6af61d07, 0x698e5ca8, 0xfebcd19e, 0xf4867e7a, 0x854784e6, 0xad6b08f3, 0x5a361c7a,
+    0x2fc6c213, 0xfb6f02f3, 0x051310b6, 0x366f3a0d, 0x634a46d4, 0xf3a06fb0, 0x3f7d9bbb, 0x888cbf80,
+    0xff6a296e, 0xa0bffaad, 0xd9058f78, 0x0de348d9, 0xb2bf89fa, 0x9846382a, 0xadb3aa0d, 0xf2bde4bd,
+    0xcdefe7ad, 0x9e1b1a87, 0xaebee5a4, 0x71caf8a0, 0x3ac968af, 0xbc6ffc98, 0x5c5ecc04, 0xed2f89e6,
+    0x86f29b4c, 0x1a3c7f26, 0x93f4994e, 0xdc7e0b9b, 0xb8d364c8, 0x77bb3464, 0x5b2a4775, 0xcd0ff521,
+    0x0ed6de0a, 0xca5aa984, 0x4ccc0d62, 0x1b88a97b, 0xc635e082, 0xf25c72f4, 0xcdb06d27, 0x878fa623,
+    0xf23557e1, 0x18071d54, 0x5991f376, 0xb463c31f, 0xd294daee, 0x823499ee, 0xf98c5e0a, 0xba6d9477,
+    0x948d56d2, 0xf98e36bc, 0x77574dfa, 0x8cf0c5e0, 0x39516194, 0xaaf35fb6, 0x2a941b52, 0xc06f6ff7,
+    0x363e75e0, 0xc40ef7b1, 0x4bcd9a49, 0x6d1782a9, 0xfe4a702d, 0xcfa8e204, 0x30e1e6eb, 0x29c17ed5,
+    0x83dcbdc6, 0xc90f5ae6, 0xe95ba8ba, 0xcddddae3, 0xa65db8d9, 0xd34af9d5, 0xf3dcdeb6, 0xa99a564c,
+    0xcaac2e43, 0x19f2c6de, 0x396d1ae4, 0xf6de546a, 0xac6e152d, 0xfc1e2a4d, 0xbb8791a6, 0x763f319c,
+    0xec50c3db, 0xdce71c63, 0xedb07c24, 0x4d6c08e8, 0x663d721b, 0x53d1b8b1, 0xb08199e0, 0x9078b71d,
+    0xcf9f86d9, 0xcb601808, 0xcc66f39d, 0xd0bc4e19, 0x189da321, 0x429ce902, 0x82453291, 0x332eab4f,
+    0xd6886a1b, 0x0a59af64, 0x3a83716a, 0xc148f4f8, 0x551388e1, 0x87fa9487, 0x95beb460, 0xecf17fce,
+    0xcc99f703, 0x2e3a0645, 0xbd5eac8e, 0xee3d6b0c, 0x3b41b28d, 0xe908b23c, 0x1e0361c1, 0x51d8c64c,
+    0x75c48250, 0xba27fb47, 0xf6d0dcee, 0x852d739f, 0x61530c3e, 0x53be6a87, 0xab822c58, 0x4e3f6057,
+    0x807d7cf5, 0x7e57b97b, 0xbd8a3c1b, 0x0b68c5f1, 0x960155aa, 0xaad79202, 0xf3484aaf, 0x8e79b7e1,
+    0xb2a36aad, 0xba93e15c, 0x203dedd6, 0xb614fc4e, 0xd9101cea, 0x84bc96d2, 0x3cfb9fe8, 0x4be482a4,
+    0x682074b8, 0xe677d114, 0x54b83f5b, 0x24ca6998, 0x7555e8c5, 0xe29b6a8c, 0x0abfbf67, 0xab715065,
+    0x1bd92cc1, 0xde2e1d14, 0x0ffeffe5, 0x5ba52190, 0x55dcd6f2, 0x989c2583, 0xd59dc573, 0xfdffb277,
+    0xa64643e3, 0xb5c2e10e, 0x87dbe39f, 0x43154aa3, 0xa7648e37, 0xd168e896, 0x2aff3da0, 0xf7cfd891,
+    0x037b95b7, 0x1944ea5b, 0x7db73141, 0x36312ee5, 0xcb67d9b7, 0x27c04da3, 0x887e463f, 0x63a5bb8d,
+    0x940abc14, 0x8ed4c931, 0x932ffe38, 0x6ff22cbf, 0x6199c9c9, 0x2cd4f5c3, 0xdcdd575b, 0xbf4f57bc,
+    0xf4c90195, 0x457292ce, 0xf5ba13d9, 0xe6ea824d, 0xa7aa29b3, 0xe9c7a112, 0x269bc9b9, 0x32b79e27,
+    0x430c160f, 0xb4eabf85, 0xb7ad5f6d, 0x2c2db492, 0x59c08502, 0xd4c7bab3, 0x901559e0, 0x2d6cc040,
+    0xf7c8e16e, 0x92c54e67, 0x5682af52, 0xd952ed9a, 0xe1d1698f, 0x904ee927, 0x4aa7271a, 0x587dec6a,
+    0x3150b535, 0x76a12717, 0xfa008fb6, 0x9d2f5943, 0x84102ded, 0x60bc6db7, 0x2f9c5aa1, 0x284a65ac,
+    0xd1f136b4, 0xf6d79924, 0xb689aba2, 0xb4c4db88, 0x39f70de3, 0xf090d4d5, 0x3e6b7bd5, 0xd0f3d6e3,
+    0x98edd5c0, 0x8353fd53, 0xcc6aec28, 0x63984284, 0xd19604ce, 0x916dfbee, 0x2ed5cb24, 0x18e364ae,
+    0x021a7d5b, 0x299a5255, 0x88791d35, 0x6d7a498f, 0xbaeeb67f, 0x5c846e3a, 0x73664d07, 0x0579c603,
+    0x421398ba, 0x01c3e87d, 0x5130990c, 0xb14e8678, 0x0628b2d3, 0xaddac8fd, 0xbef9260d, 0xedaf2483,
+    0x00000000,
+    0x84c52b15, 0x693aa01c, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000025108406941546723055343157692830665664409421777856138051584 */
+  { 0x00000000,
+    0x7a80ba69, 0xb422cc78, 0x0a54c02c, 0x9b4ce7ba, 0xab11c298, 0x0deb55d9, 0xae5fad0a, 0xa8c31223,
+    0x4dd3b9e9, 0x3d31a5b7, 0xc2032cbb, 0x3a09c35a, 0x06ff8845, 0x406a834e, 0x4c57f9e0, 0xb151520c,
+    0xfcd24ea4, 0x6068a952, 0xb92609fd, 0x9c5aa3c0, 0x278d2c0e, 0xa8e968d7, 0x5e26caca, 0x2b43f75b,
+    0x56e32f09, 0x517f59af, 0xaf851b1f, 0x9d6a3642, 0xfbd66a19, 0x76a0bf9e, 0xe4915dc7, 0x6f187543,
+    0xa51a5088, 0x2ea43846, 0xb0a14575, 0x882e15df, 0xfb090f59, 0x0d3d71cb, 0x85554d27, 0xc18abe29,
+    0xa39a02ab, 0xc79d8592, 0x55698219, 0x61928766, 0x32b97203, 0xfba33890, 0x8c5c11a2, 0x4d734c5a,
+    0x2c9eb129, 0x7038ff6d, 0xa85adfeb, 0x2e3c06ac, 0x62d97c0f, 0x8d986f54, 0xeb5726ad, 0x7b8ff8c6,
+    0xe35aea40, 0x2bdf48d3, 0x933db641, 0x76c5623d, 0xc0928bca, 0xa72d5420, 0x55f5289f, 0x89515732,
+    0x70cd84c6, 0xab730666, 0xf013fadf, 0xc6638a9f, 0x6ab696a2, 0x051636a3, 0xb529683e, 0x9c58422c,
+    0xc5ef27c4, 0x6ee9e2f7, 0x6e2d0afe, 0xfac1f12d, 0xf7bbd3c5, 0xfffa7e84, 0x216cc963, 0xf21388f6,
+    0xb7b78a97, 0xdee2a33c, 0x5f969d41, 0xf2ec62ca, 0x14bceced, 0x1deca560, 0xb056c8d2, 0x30021256,
+    0xa6dfe636, 0x26feade7, 0xd86bd71a, 0xb5c5519b, 0xc5475a30, 0xa9e1653f, 0x9095f2f2, 0x054328ab,
+    0x5b5a8df1, 0x070a64ac, 0x0ca3baf6, 0xdca960cf, 0xa6af8025, 0x06e0b719, 0x8552cdf6, 0xc73e5e84,
+    0x6a59a6b6, 0xe8b10c5b, 0x8aa40927, 0x44af1430, 0x2b4158d5, 0xb3655c62, 0x34217ec1, 0x8b301f94,
+    0xd16b0dd9, 0x3f680c66, 0x63f311d3, 0x5a314626, 0xbe6c5c4a, 0x39bb9eeb, 0x28f199d8, 0xbffce427,
+    0x3bd25e45, 0x7f645e3c, 0x439e1ac8, 0x423c34d5, 0x7e7bb81d, 0x8fe0b033, 0x52b0fcab, 0x8a9a6aac,
+    0x6b74c735, 0xa8e4e9f6, 0x6f2318f9, 0xb0b27a7f, 0x4be1b49b, 0xeddd13fd, 0x3c9154cd, 0x74cd93d9,
+    0x380142d3, 0x082fb03c, 0x6a00d607, 0x46abe17a, 0xfc498767, 0x00a9a9c5, 0x925f4e9a, 0xc7b86875,
+    0xabadde7c, 0xf7f76ca7, 0x63c06439, 0x54c2d9c8, 0x361b44d4, 0xf8083cfc, 0xbd7a7c95, 0x62140608,
+    0xe2819ed3, 0xec66bcc5, 0x0251cc43, 0x5f455caa, 0x5471d420, 0xa61d175c, 0x433101e1, 0x4b991bfc,
+    0x52d579b7, 0x84c80b20, 0x1c9e87e6, 0x1a6e279a, 0x34f1542b, 0x91639277, 0x7ef47b53, 0x71400b7e,
+    0x8ce4c884, 0x5540ef0e, 0x697a00dc, 0x8e42bae9, 0x9c20fab2, 0xd0f75066, 0x6bd2bb1f, 0x559fa244,
+    0x1c3cf50c, 0x39a18245, 0x42626b1d, 0x4273c11c, 0xec6fc7c5, 0xde4cb3a6, 0x799cc8a3, 0x599cafa0,
+    0x7504081b, 0xba5491c1, 0xda429eb2, 0x47860c68, 0xb50ca6a4, 0x1c82ab32, 0xaa58c8a9, 0xa8b78945,
+    0xddb602fb, 0x68ad2a7f, 0x887f8fb7, 0xb4ca0e87, 0x3891f940, 0x5918883e, 0xd452aaeb, 0xb7696083,
+    0x80eb2d7d, 0x0be08872, 0x23e8ba51, 0xcc12255c, 0x214b6910, 0x2f087e47, 0x6e0d07bd, 0x5e3dffac,
+    0x0baa3121, 0x07a9ff1c, 0x523dfbaf, 0xa79defe8, 0x619a46d7, 0xc87eeae8, 0xadc3c30f, 0x5f4c2123,
+    0xd866ff5c, 0x9312a090, 0x10f2c308, 0x221132af, 0x7624e903, 0x1ff2587b, 0xf2730bc5, 0xba0ea21a,
+    0x116dfcd7, 0x4e69151e, 0x9fc982ae, 0xfd404cc9, 0x841e35f0, 0x3fcaf032, 0xaef5e9ec, 0xcec58e95,
+    0x6cb01a7e, 0x10297daf, 0x3e3ae816, 0x2e7545ea, 0xff3b21ad, 0xb314e978, 0x0cbf97c8, 0x17bd7108,
+    0x2069bb32, 0x6c85cee5, 0xdf6de87f, 0x4d65d58d, 0xefb87c12, 0x47408089, 0x8ea23034, 0xfeb403dd,
+    0xb3b9a49a, 0xace877eb, 0x6559b894, 0xba749751, 0x37d070d7, 0xc7511e9d, 0xc4aa002f, 0xd1755e69,
+    0x0a02a156, 0x2e356c9b, 0xf8cd7242, 0x54d16b9e, 0x2f3975f9, 0xe0c852b7, 0x284a6079, 0xb2db7ea2,
+    0x864d2cef, 0x5c83d167, 0xd65432cd, 0x4fed2edc, 0x935f3ec3, 0x30fecfb2, 0x6544809a, 0x666ae543,
+    0x1dfa9280, 0x6bb377e6, 0x371831be, 0x3620684b, 0x961eb93d, 0xf788fcde, 0x241b040e, 0xe6b81317,
+    0xffd2a705, 0x63fb5b8b, 0xda8637ee, 0x2cb2c7ae, 0xd96c010c, 0xe1bec733, 0x69702bc6, 0xf56b7800,
+    0xa8174f83, 0x8a103e76, 0x03a6e286, 0x9afe9e9a, 0x8ad1173a, 0x3409651e, 0xa91471e0, 0xe1224223,
+    0x2ba1c9c1, 0xa2d19e7e, 0xc83354c0, 0xe2d47666, 0xfea1bc8d, 0x56e50b9d, 0xee3bb8be, 0xa50b10c7,
+    0xf94803cd, 0x2648736b, 0x5a36e981, 0x1cf29e09, 0x40b01f05, 0x18d002ec, 0x6c09c279, 0x75e95143,
+    0x8f9fb5c4, 0x2e3f2f58, 0x73e1a754, 0x097886d7, 0x33880844, 0x65c06177, 0xd862848b, 0x05c822da,
+    0x825faac6, 0x657d82cf, 0x136503af, 0x6fd4a2c7, 0x0058ab81, 0x743ab431, 0x3e0d0d6d, 0x676dd22b,
+    0x08ee4695, 0x556285cb, 0x1279eaef, 0xf93be70d, 0xc433723e, 0xcef2e2f2, 0xe5f96847, 0x46f505d1,
+    0x3edc5e4d, 0x8c766c4f, 0xd01b3c2d, 0xedc35fe5, 0x7c800403, 0x8ad29b06, 0x9cece09a, 0x7dcce210,
+    0x56635379, 0x04c6b0f7, 0x9c31ac76, 0xb6a434b1, 0xdc4899c2, 0x294ccbea, 0x929c2917, 0xcac87dbf,
+    0x15311737, 0x4c64ce60, 0xdf54d710, 0x9a27d5c1, 0xaaf2ad9c, 0xa3d46ac5, 0x871f7fdd, 0x80fb66ec,
+    0x4540b7bc, 0x86f56a46, 0x041a8f4b, 0x01557650, 0xe760d067, 0xa2b0e270, 0x5d595fef, 0x5d10c00b,
+    0x71a61c3a, 0x45abe58a, 0x60f22be9, 0x7acd2250, 0xcc49ac88, 0xf7957615, 0x9979e25b, 0x3320f4eb,
+    0xe9ed0838, 0xdca5d4e4, 0x59390010, 0xa0e9f516, 0x83177e80, 0xce760392, 0x15411cc1, 0xc2ab0779,
+    0xdebe7f26, 0xc6425b39, 0x7988a62d, 0xbaad95b1, 0x134b9498, 0x66abcab6, 0x70653f1e, 0x5e4340e6,
+    0xc1385f96, 0x2911748d, 0xb538c370, 0x9830d055, 0x470fed6f, 0x6151f469, 0x368d4801, 0x3dd14181,
+    0x7439ebe4, 0xc159f062, 0x514685fd, 0xcd1dd90a, 0xcff5a276, 0x01cda83f, 0x608b5c05, 0x90e81f69,
+    0x25cb1879, 0x9f001fd9, 0x9c0e7685, 0x46568f19, 0xcf3cf72d, 0x768552cf, 0xf4f2fb80, 0x909e0d04,
+    0xa67a7823, 0x30c1623b, 0xc8181809, 0x665499ad, 0x76270e62, 0xedacacbf, 0x7136f479, 0xead3bb74,
+    0x24ad7549, 0x5a33acd0, 0x2bf191e9, 0x79e418fa, 0x6b841ab1, 0x6f8df3a0, 0x31e62e7f, 0x026d426b,
+    0x085973c0, 0x5d4d0d88, 0x87854ee1, 0xed4cac65, 0x13bd43ac, 0x946ce081, 0xa3754df6, 0x5fcdc4a1,
+    0x48eeabc8, 0x02be4f9d, 0x1cc52b05, 0xd521bc3a, 0xc1f42b72, 0xd83152ac, 0xf181a7d0, 0x6f28dfeb,
+    0x26419eed, 0xa7cf5894, 0xac195dbd, 0xcf4b08e7, 0x2378d47d, 0x142a7f6f, 0x06ac511c, 0x81f9dde2,
+    0x49b0b967, 0xe3b39760, 0x758e103b, 0x3995089c, 0x39413eaf, 0x06dfc9b3, 0xd4351e12, 0x8e75b8a1,
+    0x80ba2ec0, 0xdba500f1, 0x2f962991, 0x16206a40, 0x842dd887, 0xb8d85883, 0xd089ffed, 0xb9530bff,
+    0x308a4d93, 0x2fbd0fee, 0xc3bd3adf, 0xb05d51c7, 0x9f754ae4, 0xe983ff78, 0x42da915a, 0xb650c4b7,
+    0xd6d80a42, 0x691c7a8c, 0xfdc1a5e1, 0x178ae98d, 0x1be7413b, 0x09f56228, 0x5ba7ac70, 0x6ea5f56b,
+    0x41c81393, 0x24a55c1c, 0xe0d4811d, 0x3275a931, 0x30448b69, 0xba27cee6, 0xa7f43cce, 0xc6ab24da,
+    0x482d5477, 0xe2e02911, 0x566fdb67, 0x9d579723, 0x0c8a5435, 0x0cb67163, 0x3d6e534f, 0x6c9b45d0,
+    0x3f6b2b08, 0x97b73075, 0xefa48461, 0x9705ae14, 0xe75fb8c7, 0x7cd8681e, 0xeae38242, 0x3813a5ef,
+    0x5b02eb67, 0x287398f6, 0x4cd6cf48, 0xea33ec87, 0xe8a1b7b3, 0xfe2bf1bf, 0x6668d1c3, 0x75652bbe,
+    0xf986b127, 0xb7756a04, 0xe812cb4d, 0x9cb5c8d6, 0xbcf151ed, 0x91a64adb, 0x32dc8f73, 0x90ff7e91,
+    0x9b256e6d, 0x257228f5, 0x44233a32, 0xf6fa07ba, 0xaf522258, 0xd37b0125, 0x3bc86dd7, 0x874e9b06,
+    0x0778b0da, 0xfc1e8976, 0xce1d666e, 0x7ccb5ba2, 0x2d111ed0, 0xd33b76df, 0x87b32d79, 0x4fdccf3c,
+    0xc27d3653, 0x8329e65b, 0xb9076216, 0xdcee7ccf, 0xfeac42aa, 0xd492ada4, 0x024568bb, 0x45bcef6c,
+    0x2711f6e7, 0x13da8c3b, 0xb1e31790, 0x0dc1ff19, 0x2b0fd5da, 0x0be4b01b, 0x4b1f26d0, 0xe3706ea7,
+    0xc04fea89, 0x76432c68, 0x6c4e1ee1, 0x077c3272, 0xecbe12d1, 0xa360d80c, 0x4effc294, 0x61c5dc24,
+    0xf5b7e837, 0x03598b6d, 0x8bd410ca, 0x123d309e, 0x2a8d90fc, 0x46b7a4f6, 0x1a16c540, 0xbd68faff,
+    0x0b885914, 0xfccbad38, 0xa6490191, 0x78dd7297, 0xee12f9ba, 0xbe24e08b, 0xe3a966c6, 0xe785d02d,
+    0x45d5f2ba, 0x284fce59, 0x306db13f, 0x4f9e82c5, 0xbf45fa8e, 0xd1aeee7d, 0x0ea69933, 0x65a0be8f,
+    0xfe912f88, 0xf342dcaa, 0x90552ab1, 0x678e8aa7, 0x7ac9dbeb, 0x16f1590e, 0xa00d7b3d, 0xdfa25d65,
+    0xea7bf375, 0xc47361ce, 0x54511236, 0xc0310603, 0x0db6fb56, 0x00ffd206, 0x6cea5621, 0xa6b41079,
+    0xe91ad8f2, 0x968f1ea0, 0x665da093, 0xc89ce616, 0x1cdc079e, 0x0f2d1839, 0x5db74eb3, 0x7ab4f9c6,
+    0x21692973, 0xed2ae2f8, 0x3bffef97, 0xf9e447f7, 0x1a50d30f, 0xafe8361d, 0x591f10c7, 0xf8216dd3,
+    0xbd67c6ea, 0x596167a6, 0xc433364a, 0xd2aff700, 0x6cea4088, 0xe0e038ec, 0x4a562628, 0x7351f215,
+    0x5e021088, 0xbc108b9e, 0x93eee5ca, 0x2814507b, 0x41939a57, 0xd35562c4, 0xa1288898, 0xa61592ba,
+    0xcb7071e4, 0x5ed1c21c, 0x40c4e322, 0xe2dc7f15, 0x6ddccd73, 0x53ea78f7, 0xb378e6d6, 0x4ecb809e,
+    0xda05ab46, 0x9388a461, 0xe835bf94, 0x1e874de5, 0x4a734800, 0xeca04932, 0x53a155c7, 0x69766430,
+    0x8ae33ade, 0xc28a89c3, 0x1a02abf1, 0xf1d12a15, 0x9527e8c8, 0xb6a7b311, 0x15dab6aa, 0x5384af5a,
+    0x69a6ff5a, 0x6b599ef1, 0x3b4c1d16, 0x098f3974, 0xa3e052d7, 0x43bc9a82, 0xd2c3a50e, 0x93190d23,
+    0xee2ae8c4, 0xc858bf5f, 0x7a424e34, 0x92ed5172, 0x342ad0da, 0xabfad426, 0xe944e61c, 0xec31c40c,
+    0xdb639fa9, 0x595c60e0, 0x3c31d742, 0xd679b93b, 0x0267c877, 0x70eb6fe7, 0xb5b8a5d3, 0x01f43647,
+    0x243d7f2b, 0xa3c84b08, 0xdb888ab4, 0xa1d9d649, 0xb24ee9ec, 0x912024e2, 0x36507f07, 0xc1d68ed9,
+    0x64d07824, 0x1c3b0edd, 0x41364ac0, 0xfe291fc8, 0xa637d0c8, 0x2f081448, 0xabf1b6e3, 0x751fe1bb,
+    0x7cce28a0, 0xb20887b9, 0x4e55ab94, 0xa114901a, 0x4caaf5cb, 0xec32ec3b, 0x52bb00ca, 0xb17bfdef,
+    0xdfc3e037, 0x48af84cf, 0xcc7777b9, 0x6653856a, 0xdf679be8, 0x1ef1c26c, 0xd7ade16a, 0xe21c962a,
+    0x8b6a8361, 0xdba2d517, 0x1d356b53, 0x2e8b9fb5, 0x76d88a01, 0x8264e5ca, 0xb044ebda, 0x2a2f238b,
+    0x45147d0c, 0x3589613c, 0xc3cceaa7, 0x8acbd53e, 0xe5d3009d, 0x9711ed00, 0x0f2d9249, 0xb57ba74d,
+    0x1ff04458, 0x27b21425, 0x58acc71d, 0x6a35eb7a, 0xe28761fe, 0xe8d35cf7, 0x6fb3e01d, 0x84729c5a,
+    0x0bee1588, 0xb7bb1cef, 0x7227ecd7, 0xbb4a1690, 0x1e699915, 0x05dbba7c, 0x289411f7, 0xf6485ff8,
+    0x150aa029, 0xefe8ae01, 0xa4b95be5, 0x3d1a9b0a, 0x7400deda, 0xc6a328a2, 0xee838dd3, 0xf54d780e,
+    0x37e3a9b7, 0x33850bec, 0xca5d9894, 0xd07d309f, 0xb9ac37dd, 0xb269724b, 0xeefa6829, 0xc2901d43,
+    0xcdb5aede, 0xaca702df, 0x2378edbe, 0x80100d62, 0xbc97823f, 0xbd7168e1, 0x46d6842f, 0x0e456928,
+    0xa99a4371, 0xcfb2c675, 0xb6bc12ee, 0x64b92744, 0x05fb02e7, 0x883d1bc9, 0xa5dd4694, 0x0c631519,
+    0xce4df999, 0x2ab53e5c, 0x87061e2b, 0x1631d8d0, 0x8e43bf2c, 0x9aca2780, 0x9cccbd61, 0xceecfef0,
+    0x6dea5ba2, 0x5b90e9e5, 0xa347e90d, 0xcca0add7, 0x758ae3bc, 0x864a44c1, 0x9b0c2b31, 0xe8b74c6d,
+    0xf86bfa57, 0x56140eeb, 0x90098ffc, 0x01a16f9f, 0xb9e6134a, 0x5717d9c6, 0x4cf47e6d, 0x2dcdc5c4,
+    0xe4d1950b, 0xa45731a1, 0x324e883f, 0x782fd3a4, 0x7a61fefa, 0xfd16ad56, 0x1a911fea, 0xaa6b667c,
+    0xf880d26b, 0x59d52564, 0x543e65e5, 0x8429f364, 0xbbef7129, 0x9510f814, 0xee485d96, 0x1f69eb65,
+    0x2fa44fb1, 0x8af8f774, 0x2b39230b, 0x7bae95a2, 0xba818318, 0x3d66ae05, 0x76b983a5, 0xfdf2c77f,
+    0x023d8988, 0x244e2f09, 0xb58a8258, 0x56965267, 0xb58f4ee6, 0x4f67c5e7, 0x3bbd1aff, 0x83462dea,
+    0x12f2116a, 0xbe3e6229, 0xbb70badd, 0xf5a9bb68, 0x10a4d479, 0x0d4acdee, 0x263d29eb, 0x6fdc621e,
+    0x108567f4, 0x1d98aaeb, 0x8efe0427, 0x415e76ff, 0xb91791c9, 0x2b601089, 0xc515aae5, 0xba0ebf58,
+    0x76179cc2, 0x514489b3, 0x3a49d168, 0xa0792584, 0x079db165, 0x1573704e, 0xc43f9363, 0x142cb712,
+    0xe2ba086d, 0x7091e73d, 0x63b08dd3, 0xcd484c33, 0x0da829cb, 0x0ddf4ad9, 0xed077bd2, 0x427b8304,
+    0xc0aa90c3, 0xcd9236ae, 0x4b70ce0f, 0xf3c3b633, 0xd4486116, 0x401911f2, 0x05fe5db8, 0x69f0c725,
+    0xf0f89964, 0xb16e58a0, 0xd1e689d7, 0xabca96af, 0x7bf84a10, 0x25b0aa77, 0x176bb1d6, 0x4bd44aff,
+    0xb9a8763f, 0xe6ed3abe, 0xc53b0b05, 0xc9bc1f6d, 0x78e6416a, 0x8b8e10cd, 0xb279c734, 0x7e25ad9b,
+    0xe9999913, 0xce489686, 0x94a74538, 0x46298a99, 0x74d8c61a, 0x385415d7, 0xf3afe8b7, 0x9180fa33,
+    0xf580de85, 0xc52f9d66, 0x4e0aace3, 0x76253315, 0xe7f5769a, 0x348a7df3, 0x9e99df53, 0x4929022f,
+    0xcc5c03e3, 0x14e81795, 0x1687594c, 0x7b263c46, 0x61d14ca5, 0xdc91ff90, 0xe63090d8, 0x2f03f0a0,
+    0xc1471044, 0x93584ec7, 0x7dcbe60b, 0xec196ea3, 0xb4d99431, 0x769a17e3, 0xcf9b8c54, 0xda6bdab9,
+    0x312491cc, 0xcb0c064a, 0x6f465ecc, 0xd95446c5, 0x3cd6ac13, 0x4f2d735c, 0x0aa10ce3, 0xb2543ad9,
+    0x1fbe5b56, 0x7e52a00b, 0x73bbf504, 0xb9fad5a1, 0x65cb96df, 0x8b51a046, 0x84a56a02, 0x2294c683,
+    0xcad9b767, 0x8ee22dc8, 0xdc4a6491, 0x1478d305, 0xba4378a2, 0x0cff4ee1, 0xa3a5c1e2, 0xb1133158,
+    0xade612a5, 0x01380204, 0x10e15d96, 0xa446368b, 0xb8d3396d, 0x149a4d9e, 0x61a92c04, 0x3ccd768e,
+    0x0ceff623, 0x68163b18, 0x8f6a0bfa, 0x40b79b62, 0xb4ee92ee, 0xb46f80af, 0x57f2f84e, 0x34d90275,
+    0xca74ac0a, 0x85c760e3, 0xc1cbf535, 0x1e51c884, 0x859b81b1, 0xf7441214, 0xf9df9117, 0x24fd7264,
+    0xf36582db, 0x6855aaf8, 0x1643c6a0, 0x4ef0622e, 0x55f35fb2, 0xefd0863a, 0x1623b98f, 0x9048e986,
+    0x058f2d59, 0xda0daf11, 0xc2a41159, 0x6d7cffe5, 0x591c7061, 0xb6a52be2, 0x4d53cbca, 0x9fa36cde,
+    0x97fe3609, 0x53df4f25, 0xa6143dbe, 0x3a32a52e, 0x2f111cb4, 0x0dcba670, 0x3ed0b5b2, 0x3a41f0c2,
+    0x53d3dc6c, 0x8d750ad3, 0xc8acbc71, 0xe66be99d, 0x18c8e72b, 0xa0e42dec, 0x9e43a46d, 0xae6c6d1e,
+    0x00000000,
+    0x4262958a, 0x349d500e, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000012554203470773361527671578846415332832204710888928069025792 */
+  { 0x00000000,
+    0x29c7f987, 0x926c2b3a, 0x0d1384f2, 0xdb67abd9, 0x23562cab, 0x145050e2, 0x2e3238c4, 0xc4f07755,
+    0xb664fdb4, 0x496cafd8, 0x0951d66a, 0x0187af54, 0x71df2ef7, 0x39fce85a, 0xf8d93abc, 0x4306cad8,
+    0x36e33d1b, 0xfa5ae4a0, 0x2abbedff, 0x91ca33f1, 0xf9ab0341, 0xa60117ff, 0xe94fe2c6, 0x8e126444,
+    0xfe235b3f, 0x42227a1f, 0xb1410e5f, 0x85b16b39, 0x1e978247, 0x9740ad79, 0x67218a35, 0x4ff48ead,
+    0xb5869e9d, 0x61c00635, 0x6ea2b8e5, 0x81ff84dc, 0xbeee0970, 0xc6fe15d4, 0x004d1be4, 0xe0595748,
+    0x617db88f, 0xe7b07e59, 0x7845df0d, 0xe0936818, 0x85585347, 0x0dd312cb, 0xac40cafc, 0x3df391e1,
+    0x31198963, 0x1289a312, 0xda9dc2bd, 0xe7eb373c, 0x7ed5ada1, 0xc2eb9418, 0xb3b82751, 0xb331db2d,
+    0x3a89cb67, 0x5a665a95, 0x97d5701d, 0xbcf9a489, 0xd4d2e575, 0xfe4ec6fe, 0xcb57273c, 0x946b8ba9,
+    0x34b14153, 0x7ea8232a, 0x86ca233f, 0x90dd27be, 0x7bf3e2e2, 0x084cb463, 0x55996250, 0x0b9372c9,
+    0x5c5726e8, 0x19a0ecda, 0x834de186, 0x9ef36e14, 0x275cad33, 0xc615f184, 0x4697d254, 0xa5a2d365,
+    0xb23b530e, 0xb688eb98, 0xed26a794, 0x6ec955ed, 0x93b0b416, 0x805261d2, 0x714e3708, 0x46632124,
+    0xc0683dcf, 0xba82cfa7, 0x039a876b, 0xb0219a3e, 0xbffae875, 0x1f88bc6a, 0x0ecdf296, 0xb75bd3c0,
+    0x005d28e9, 0x3abf81cb, 0xf54478f8, 0x7b61f963, 0x65177c60, 0x3f01cb49, 0x8bed9d06, 0xf5aff7fd,
+    0x4914ed2c, 0x98f35112, 0xddf78751, 0xb151b17a, 0xeb95dd1c, 0x98c4ad82, 0x8b7e3655, 0xb2ade8be,
+    0x1353b0a5, 0xa175a47c, 0x5882ac25, 0x5c41067c, 0x9dd544d6, 0xac1148fc, 0x1877a074, 0xa7e888f9,
+    0xd4064d2d, 0x0a8fac27, 0x4a9d2ba4, 0xc1c8a4be, 0x733241de, 0xc01ad4f2, 0x25a09dc3, 0xea1326bd,
+    0xee40a537, 0xf1e8c370, 0xe5ed0ea9, 0xf303a0c6, 0x85f79645, 0xa4110715, 0x6301c039, 0xfb41cc83,
+    0xfe78faa2, 0x21ee9517, 0xac459615, 0xa1f180f9, 0xdc4bd9c7, 0x8910b3f9, 0x3e4534dd, 0x1ee3352f,
+    0x9c44c64c, 0x0e493fe2, 0xca524584, 0x7603807b, 0x857ef386, 0xacd5ef29, 0x44aa6e17, 0x7673fe5f,
+    0x1b21bc85, 0x2a1fa388, 0x054b9faf, 0xf99d842e, 0x187d5550, 0xefbf242a, 0x76b6adfa, 0xc9a02d5a,
+    0xb78e4e4c, 0x38ceef94, 0x17ec5c0f, 0x55acc87c, 0xc939a7e8, 0x86e51f89, 0x21819222, 0xed954542,
+    0xc7ad5711, 0xcc908476, 0x0d367d10, 0x7bd1b800, 0xf7e6cefa, 0x6c17d185, 0xc2439126, 0xce039e0a,
+    0x60bafd66, 0xdffc2453, 0xe04c807e, 0xf9989e20, 0x19677fc5, 0xb180a725, 0xf79b99dd, 0x88765e25,
+    0xf9f562f4, 0xd1277551, 0x2c2bbd41, 0x6b60e5f3, 0x7f9d6f01, 0x38b926e1, 0x7b870ed4, 0x77438a13,
+    0x0575bd63, 0x32517542, 0x22efd881, 0x1825f4fc, 0x4baf59f9, 0x9265962f, 0x23ebd909, 0xa8cd55cb,
+    0x034aa53a, 0x2a0b9181, 0x5d5a2616, 0x34d1d112, 0xb4612354, 0xf9d9ff64, 0xd37923f2, 0x8143d1e0,
+    0xea1fbff0, 0x5944ff9c, 0xde3e7bd3, 0x3cd4397e, 0x661f3720, 0xe738cc24, 0x36dee119, 0x3c2995c8,
+    0x5db6dc8a, 0xbef67cd8, 0xd8b5f94a, 0x7d43ef75, 0x670d28a0, 0xe1fc1373, 0xd7c8ddb5, 0x43444b98,
+    0x15071601, 0x34aadc18, 0xa1fd4273, 0x803f2086, 0x93e8c9b5, 0xdb4bf10c, 0x87cb08eb, 0x63f172b0,
+    0x5a849ec2, 0x602fd8aa, 0xcd9c9bf1, 0x28dfb3fc, 0x9330a48e, 0x518a763e, 0xaa283264, 0xbabeb3a1,
+    0x34736c96, 0x31c7822e, 0xe266d136, 0x9f4c4657, 0x1716891c, 0x9aa90aa8, 0x38de773a, 0xb26ea1c6,
+    0xea9a1cd6, 0x3ab71693, 0x23eff678, 0x85012cab, 0x28790017, 0x72a96413, 0x4b871d14, 0xc534c8c5,
+    0x54c43164, 0x63e4aafb, 0xb37ce702, 0xbc9eb8f2, 0x660dbf72, 0xff493e6d, 0xd7d7fed9, 0x7e085f83,
+    0x33882fb0, 0x9a478411, 0xb0ea66de, 0x7da30be2, 0x2bf3c00a, 0x99e380d8, 0x49141a12, 0x461c5e7c,
+    0x9da88b7c, 0x576fe106, 0x129b9c51, 0x77ad0b3f, 0xf3bb6163, 0x7f436104, 0x14aea758, 0x99908b85,
+    0x0ff9fa4c, 0x14d21785, 0xc5209087, 0x85bb2495, 0xace81c91, 0x249de391, 0x2ca53c7f, 0x54442f9d,
+    0xd3676b56, 0xe2724096, 0x6fb8c1de, 0x9f33658a, 0xebe55bcb, 0x3fa5fd29, 0x15e9f3be, 0x310029bf,
+    0x7421a5f6, 0x9f920872, 0x39572652, 0xcfb54cb5, 0xf4966ae4, 0xdf1e85f3, 0xb2437b37, 0x3a870158,
+    0x1754bc20, 0x8b4a2a47, 0x1fd83f62, 0xcf730605, 0x3a20b490, 0xeaeb55b9, 0x36303cb0, 0x54271c42,
+    0xc0676714, 0x1504b26c, 0x908c6116, 0xa4bf5a44, 0x60a9c622, 0xe3cfa774, 0xad1ccf08, 0x41e70326,
+    0x5f944ba9, 0xba6afd6d, 0x728fac58, 0x6f76e8ce, 0x7e2680d7, 0x0ccda270, 0xf04a8981, 0xa02b0cff,
+    0xc72ce0d0, 0x3be77265, 0x243001b9, 0x131563ff, 0xbbea60a9, 0xdca20793, 0x75fc880f, 0x0b7bda11,
+    0x9fa30978, 0xdadcf7d2, 0xbc2b610b, 0x700d7f68, 0xad4b6e1c, 0x9a47e06c, 0x9b1fc3ea, 0xaea05572,
+    0xa615da02, 0x14ead273, 0xd928f420, 0xc51ab980, 0xff98019f, 0xd054a35f, 0x493675f8, 0x2e936adb,
+    0x2544b3b0, 0xecd64ff8, 0x15b36ba4, 0x6a1819e0, 0x721abf81, 0xfba1c001, 0xa4f27079, 0xcac6128c,
+    0x4e1e69a7, 0x1fa2df85, 0xc9f7a01c, 0x4d076ec8, 0x41b13dca, 0xaf5697fb, 0xd1e36a66, 0x0da1115f,
+    0xbf8b60d9, 0x6d6d078a, 0x00e08755, 0x8e0d42f7, 0xc69180ea, 0xefd26a40, 0xd9cac514, 0x6adee9f5,
+    0x7654b2e0, 0x14537dff, 0x4a8d668c, 0xcc259ae4, 0x8640042d, 0xdade87ee, 0x3eb08a92, 0x1b62ad4c,
+    0x7cbab021, 0xa517f9eb, 0x10572b50, 0x170b0167, 0xdc6f4df0, 0xe9ed3274, 0x8463f262, 0x82d0a980,
+    0x6117410a, 0xa1cbe884, 0x731ded54, 0x5c01fa38, 0x063fb4af, 0x7422c6ac, 0x402589c1, 0x57402938,
+    0x8c6db83e, 0xa626cbaf, 0xf025697d, 0x3d91dfd5, 0x93bf775b, 0xc1c764f2, 0x3a00b5a8, 0x1de63191,
+    0xd8015f23, 0x67522788, 0xb23e4972, 0x98c321c0, 0xcee60a19, 0x30c4ce21, 0x14e99d2d, 0x841fd6ae,
+    0x8bc505c7, 0x020e4783, 0x9963f1bd, 0x2e0edcb6, 0x8e8da98e, 0x12ccf653, 0x2b093274, 0xa248bcbe,
+    0x034e3848, 0xb3d018bf, 0x9d1ee522, 0xc55d70f7, 0x073e8b3c, 0x00763e46, 0x33a09025, 0x1a56f41c,
+    0x4e698e23, 0x4d76b12c, 0x6a3eb360, 0xd4d4b6c7, 0x4db25a32, 0xcbc036d5, 0x5bacd670, 0x69871c4a,
+    0x64db3216, 0xbf625a87, 0x972edce7, 0x47e13eb8, 0x3470c595, 0x14763c1d, 0xaec2d195, 0x9fce7b1c,
+    0x6b838a09, 0x2304fcdc, 0xdf085fd1, 0xc4581f38, 0xb5eb83ce, 0x71d7ff9e, 0x7e886e54, 0x53378ceb,
+    0x0ba9e982, 0xf51b9363, 0x6e58e612, 0xe4c88820, 0x04d4bafc, 0x3c990972, 0x53f33214, 0x20e29048,
+    0x0ad6cc93, 0xecb1377c, 0xee9c3aa3, 0x3a14b845, 0x1105a1f0, 0x4cd9db12, 0xdbc67c33, 0x8c0703ae,
+    0x1d9b48e1, 0x539397cb, 0x88f2ac07, 0xf9e30522, 0xc66b553f, 0x63f985cd, 0xcab69d74, 0xe57d5572,
+    0xe8d2ed82, 0x26be0f35, 0x52a36233, 0x1a729386, 0x16cafad3, 0x17b3d095, 0x7af52c2d, 0x577d8f07,
+    0x8c140fbb, 0x3209e5b1, 0xf04900be, 0x304f8138, 0x0c6660ac, 0x7c58fee1, 0x37e1840d, 0x99441645,
+    0x620a7a49, 0x21474b9b, 0x56910289, 0xc99dc3fb, 0x75aea4d0, 0xb0d1a1e0, 0x3b8558d0, 0x1246bcce,
+    0xff9b0aaa, 0xe58ed949, 0x67c0588c, 0xabbe9556, 0x2c1ff8c7, 0x64454b89, 0x43d54419, 0x6284d071,
+    0x8ab3ee8d, 0x747f0cf2, 0x94a9dfc8, 0x045660a0, 0x57dc0be7, 0xe00d3742, 0xd543af72, 0xb23b8118,
+    0x0e43862d, 0x9f93e3be, 0x88d4a0a1, 0xfa63e291, 0x0f2e1bb9, 0x64e5b691, 0x3c23c167, 0xc81c63d5,
+    0x02e61985, 0x1265c2f4, 0x0ac41667, 0xcd504063, 0x12fda9e5, 0x89534d6f, 0xb256ffca, 0x8a9db2cb,
+    0x93dbc4ce, 0xbdfa9cc9, 0x6bcd3e9e, 0x84b8cac6, 0x57bc28be, 0x10fc9294, 0xdcf8d073, 0x84659abd,
+    0xa86b5598, 0xa4cbb19e, 0x792b4f1c, 0x605bf192, 0x58dc8393, 0x51f38764, 0x91b201a1, 0xba77f8a6,
+    0x10563db4, 0xa42f126e, 0xdd7adbcb, 0x892bb5b2, 0x979920d5, 0xad749820, 0x38d88790, 0x696905ea,
+    0x2515beb6, 0x724e74f0, 0x3170decd, 0x07ff0b4e, 0x39ea3a83, 0xef1e2d98, 0x1ed6d770, 0x50a640da,
+    0xfaaca70d, 0x473c7a80, 0xedec19d3, 0x10238159, 0xe75e9be9, 0x04409950, 0x90ce7224, 0x0b11cb22,
+    0x7f979dea, 0x9fbdab42, 0xf561a24d, 0x4cbfe9fe, 0xde9ad402, 0x3513c6c6, 0xc7e08d16, 0x63bbd2d0,
+    0x3752a822, 0xeb6b9c6c, 0x7b189401, 0xca9dac44, 0x450fb27b, 0x67b8d745, 0x3209ff43, 0x48667dd6,
+    0x40328b23, 0x081ad51d, 0x7c3044be, 0xb325ea38, 0xa07e559f, 0xf8c95c2b, 0x68286e6c, 0xdb1e1c38,
+    0xcbc8f989, 0x49eb27b6, 0xc5f4059a, 0x8aea6b84, 0xf43c4a00, 0xce6f314e, 0x0424320b, 0x15584931,
+    0xf21cd88d, 0x73318a19, 0xbf27fd9e, 0x29eef3fb, 0x7c351d7f, 0xc0170d41, 0x61bf5117, 0x139d9c3d,
+    0xc1d5639f, 0xf4dbf15e, 0x624a03aa, 0xfa29061b, 0xe0ea6165, 0x13d2d6b3, 0xd4d6ea80, 0x501e3400,
+    0xd24a75ab, 0xe0bbe110, 0xd2374051, 0x49a0f812, 0x1844428d, 0xfa5239ec, 0xd2331b35, 0x53ab1449,
+    0x05006bcb, 0x384b0f67, 0xe0e92d35, 0x047330b6, 0x4703ffe2, 0x01fe5386, 0x327e3f8b, 0xa423fb85,
+    0x962def1a, 0x75a446b0, 0xfd3c2b93, 0x3525945d, 0x03869f07, 0xcedec04a, 0xa0019559, 0xd3bc9c96,
+    0xd5013f6b, 0x7f15a918, 0x3513591a, 0x10344e65, 0x93d11542, 0xfb09f1c8, 0x401c0d13, 0xc24287e4,
+    0xba63e173, 0x5fabec69, 0x21036c02, 0xa0f6d9be, 0xce2dac7b, 0x7e997f14, 0x3deb6e32, 0x0fbb3194,
+    0xec6ffa61, 0x9f8ce288, 0xc883f974, 0xbf9d0328, 0xbc8d0598, 0xa22202d6, 0x665f4b6f, 0x941a48cb,
+    0x8931384e, 0xbb604d6e, 0xaf298c17, 0x5541ef53, 0xc07e716e, 0xd974f9cc, 0x3729ddcc, 0x781b5d55,
+    0xcc0178cb, 0x92e5ccd7, 0x41069d67, 0x6ae1c746, 0xfb59f25c, 0x48c9e2b6, 0x92fb3907, 0x75a5111d,
+    0x2809354e, 0x60e2d00a, 0xd7de68e4, 0xaae7cf1a, 0xc86c37ce, 0x2ff73d47, 0xd2e31df3, 0xe500e5c6,
+    0xa4ae645e, 0xbf408c28, 0xe2e05187, 0x633317b3, 0x9b8fb3d9, 0x6ec403f4, 0x00575a4b, 0x8739320e,
+    0xf1e7a54d, 0x9c5f8d7a, 0x600c5f5d, 0x8330d73e, 0x3e78e5fb, 0x91a8b896, 0xdda03c74, 0x7d06628f,
+    0xead3a2a6, 0xd2708e7c, 0x435bdab3, 0x1ace6f73, 0x8b67837b, 0x2538e041, 0x1a78742b, 0x9976ea47,
+    0xbcbc2104, 0x22f3c3d6, 0x5dfae4ab, 0x26c75d0b, 0x0736f5f4, 0x717750c6, 0x4c3ff6d6, 0x6330b54b,
+    0xeeb4fb38, 0xa37acf91, 0x64e9d594, 0xc1579ad2, 0xb6d2db34, 0xfff0d322, 0x67db8819, 0x49a41a0e,
+    0x1068705c, 0xec9a35f0, 0xdbe61fa7, 0x14e2b073, 0x5861e881, 0xe3675d89, 0x97fe7bc9, 0x80e5bf57,
+    0x0814fb05, 0x2d81476d, 0x936598e4, 0xbbdda65d, 0x39eeeeff, 0xbe9b2522, 0x825a2d2c, 0x24ba2392,
+    0xcea9ff07, 0xfe9adf26, 0x31731d66, 0x8001ce2e, 0x2120dd14, 0xddc67d52, 0x7f6a9a8d, 0x6e301b19,
+    0xec1bd736, 0xe06033f3, 0x9b7200c7, 0xc3727b23, 0x64c44530, 0x0ff23140, 0xa38185f3, 0x5addbdd5,
+    0x9187c0a5, 0xcd3dfffd, 0xfd370142, 0x04df7f15, 0xd3d1aa81, 0x05240958, 0x6ad47c7c, 0x33478b91,
+    0xd86efeb3, 0x1ec7e5f0, 0x742d18da, 0x53bf3eaa, 0x0d7b4de1, 0xf6cb0336, 0xad0f1c24, 0x40b8ae78,
+    0xd8f88cb2, 0xec661b88, 0xe36c4d48, 0xfcc88791, 0x358cad2c, 0xc9b32cd7, 0x667c4912, 0xf3af7fbd,
+    0x4d9b0e00, 0xf64c8f23, 0xdfff77b9, 0xca7ba847, 0x233d3aaa, 0xb8bd7ca4, 0x36c284c4, 0x5b3af8ff,
+    0x1c9885c5, 0x188b72a0, 0xf0162d4a, 0x5bfd0884, 0x381b5b70, 0x0a91d61f, 0x6efa9a9a, 0xa2c0e8b8,
+    0x24e42911, 0x3de9410a, 0x0254750f, 0x9eaf0baf, 0xffac612b, 0x5f08830e, 0xc0ab39d2, 0xf8f88034,
+    0x886365ff, 0x0bad701d, 0xfead40e7, 0x5d7e9ef8, 0xf6a8c3bf, 0xd67b690b, 0x556593e5, 0xd6fd531a,
+    0x770b5af2, 0x860a430a, 0xa78540b9, 0xc3ca6639, 0xff65cdc9, 0x6a701a32, 0xfedbf57d, 0xd4b03b4b,
+    0xb9f00576, 0x9d544796, 0xf02c2c55, 0x93f9a343, 0x0d53c8c8, 0xdd22b96a, 0x72789843, 0x8b8215f6,
+    0xf4e3fade, 0x70790486, 0x06e7ffdd, 0xa6e3259c, 0xe6e27a66, 0x93ff381e, 0xfd938950, 0xc797e8ad,
+    0x5c751694, 0xc7f96f91, 0x7d401944, 0x66b3fbea, 0xe573f0a0, 0x91175da5, 0x5c045070, 0xb4853c77,
+    0x9ef06f8b, 0xfed32816, 0x3caa09cc, 0x7406b3e8, 0x69fd4380, 0x44c12fc6, 0x256ed4f0, 0x583c3871,
+    0x6bccc0e9, 0xcc267f44, 0xf4d09295, 0xfc4124cf, 0xc32043b3, 0x26351ded, 0xe4b8ecc8, 0xc769587e,
+    0x2fefbdc8, 0x212b2c2f, 0x1bcb383f, 0x3ccc6d3d, 0xa468a52f, 0xa3c43f58, 0x95392746, 0x1d95bcc1,
+    0x50e5f3db, 0x27a9a0b9, 0xbfc84611, 0xd26750b6, 0x2926da6f, 0x4ff8f231, 0xfa167eba, 0x7d6071a4,
+    0xd1d39cdf, 0x0994417a, 0x48d751c3, 0x36ea3e14, 0x9f7d69f3, 0x149f0b39, 0xee383793, 0x824dfe41,
+    0x81f8c058, 0xde66a6f9, 0xdc176fb0, 0x997e9e8e, 0x41f03d9b, 0xe0eb84aa, 0x2e2cb97a, 0x27a3889c,
+    0xebb77608, 0x52643deb, 0x5f8df622, 0x9df58cf5, 0x8427f461, 0x7d5d4542, 0x1613c5e5, 0x88ab510e,
+    0x072c4b63, 0xb53b4d17, 0x76a1ca23, 0xd5290b83, 0x1928890a, 0xabc2c8ad, 0x844fa606, 0x54ebe704,
+    0x8c5bee59, 0xf131f3d9, 0xd223f82e, 0x0426dd00, 0x67a655ad, 0x36a9a364, 0x05cd8005, 0x0e61e8ae,
+    0xad1f8166, 0x5caff8d1, 0x8894d0d4, 0x0654ac2d, 0xdb3efef6, 0xe5bb91f2, 0x9e41c8d4, 0x91160dfa,
+    0xfd01ca3b, 0x5d280101, 0xef9cd42f, 0xb8019bbb, 0x43e7324b, 0xbdd450d5, 0xe8b0541b, 0x30a6a653,
+    0x505c6846, 0xd22a62df, 0x2d894fc2, 0x46d493bf, 0x48ab6078, 0xc7139451, 0x89c76930, 0xe2201f3b,
+    0x2f48bee9, 0xe86f7868, 0x5c8c89ff, 0xb9749537, 0x9ef20095, 0xcbb27a80, 0xfc9c855e, 0x61db4422,
+    0x52b0bd82, 0x1437bb45, 0xb175d867, 0x329a0c22, 0xdee15c4f, 0x7ae41a9f, 0x0a2b007d, 0x0aa71c7a,
+    0xab2662ec, 0xddac2a43, 0x4f523a42, 0x6308c9d4, 0x2f1464eb, 0x395fdbed, 0xd2b115a7, 0xcec85025,
+    0x2e3d73c4, 0xb2b7157d, 0x2f696185, 0xc4526584, 0x95c26847, 0x8244ecf1, 0x3e56f868, 0x94fb83cb,
+    0xe642670c, 0x6279c6a8, 0xdd650601, 0xe0eb4315, 0x8eb1723a, 0xcb24c43b, 0x0acd6d48, 0x92e8534f,
+    0xee64db08, 0x18cff5f4, 0xec8f7324, 0xc67b24c9, 0xe60b3495, 0x7a90ce5d, 0x9e8e77ce, 0x621c62f8,
+    0x35a8e239, 0x498afbbf, 0x12586dde, 0xf973b09f, 0xf16539ab, 0x1dbf92dc, 0xd50cd050, 0xd34fab44,
+    0x00000000,
+    0x21314ac4, 0x9a4ea807, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000006277101735386680763835789423207666416102355444464034512896 */
+  { 0x00000000,
+    0x6f520c3f, 0x16846cd4, 0x1f5c47f6, 0x7fa1ade6, 0xccc87906, 0x197788aa, 0x2a40f425, 0xe0e62445,
+    0x07b7784f, 0x859409d6, 0xfce0089e, 0x9a5b4075, 0x1b3ee307, 0x39c7e0e6, 0xeee7e3e0, 0xdad3e19d,
+    0x855bde50, 0x4079524f, 0x20a7e3bb, 0xee32260d, 0xfff1a0f2, 0xd8e851dc, 0xffe0cf14, 0xaa01a786,
+    0x2c3507af, 0x98e70bea, 0xc38eef60, 0x23fdd108, 0x94f479db, 0x8eb6e271, 0x41f466d2, 0x7256baf8,
+    0xb264dd91, 0x7787d16a, 0xb211cfc5, 0xb13886ad, 0x1667b87d, 0x8dd4366d, 0xd3a53100, 0x2ee8cd1c,
+    0x2a97f9d3, 0xde7b1940, 0xc7f34318, 0x0fb97155, 0x2e282a8a, 0xa2ae2644, 0x4853e8f8, 0xed867021,
+    0x02d5f74e, 0x6ebd6c85, 0x9127c30e, 0xe43c06cb, 0x591b9c22, 0xd87101df, 0xeea56656, 0x8afce28c,
+    0xe8f531cc, 0x9ccf72de, 0x7abbbf74, 0x80c71218, 0xa246c61b, 0x33a14d48, 0x710d2181, 0xb39f6e80,
+    0x579160cb, 0xa92d91fd, 0xcf793dba, 0x89500a3e, 0x05f7fc72, 0xb223c6f7, 0x9eead06a, 0xac0c52ce,
+    0x8b2b84bc, 0x7da7bf2e, 0x8b5cfdf1, 0xaccc8a06, 0xc672f7e5, 0xf56dfbfa, 0x1f90f0f9, 0xefdc5a19,
+    0x3f8891f1, 0x54256586, 0x62e81a1b, 0x685aa6c2, 0x3f96566c, 0x8996cf48, 0x533dc80e, 0x953b30dd,
+    0xcab84d35, 0x57324a4c, 0x355374bb, 0xcada681e, 0x1fa76f69, 0xe942be15, 0x83b0585c, 0xe67e7fa7,
+    0xde917511, 0x43cce57d, 0x0bbb9724, 0xf74ea6d2, 0x3d5469ce, 0xdbb99641, 0x522ee8b6, 0xcc1a36cd,
+    0xb4674f68, 0x79d35270, 0x10664597, 0x126373b6, 0x8a60ceb9, 0xe48c68c1, 0x49ee0a1d, 0xb1b0f7ba,
+    0x7417cc10, 0x739b9476, 0x6de234b6, 0x34c32a5a, 0x53ce2d43, 0x7569d606, 0xb367bc03, 0x1df9a11d,
+    0xbb035c9e, 0x4f510681, 0x540de06a, 0x50c7b63d, 0x567a8a22, 0x6ce8909a, 0x40cf806d, 0x9e8441f0,
+    0x5902239c, 0x1bcfdb06, 0xdf207dc3, 0xa73aa5e3, 0x9a0ef724, 0xe1ee3571, 0xe623f0cf, 0x2375e80f,
+    0xae32f0e7, 0x4352e425, 0x362b034f, 0xcf1aed8b, 0xe509f916, 0xeb41ed57, 0x2af8daaa, 0x39d42bd5,
+    0x4a14d9db, 0x4d4d4e21, 0x74bf7ecc, 0xd82c1a21, 0xec315cc6, 0x3be39656, 0x0e8a1b36, 0x5d0191a6,
+    0xe6dd47e4, 0xe23eeed0, 0xb7e02491, 0x964bba99, 0x27af21b3, 0x8674eca3, 0x170f0d24, 0x217c172e,
+    0x4f57afb5, 0xc8422037, 0x75441b2d, 0xd6faf558, 0x91105a0e, 0x632ebbf2, 0x2a718b61, 0xd30a7c90,
+    0xa9d12e45, 0x6c9f7641, 0xfb6d0b89, 0x8c09c2d9, 0xe66f934a, 0x4750bc49, 0x9f5f8d9c, 0xb1c77fc8,
+    0x26baeaee, 0x0ab060b9, 0xf5dd56be, 0x8c501a5d, 0x73106378, 0x34aceb95, 0xe290ac1a, 0xd20533d4,
+    0x08485dc5, 0x752cea75, 0xfd9e33d6, 0xc136eed3, 0x4f055049, 0x3b09d255, 0x05664bf9, 0xb1b75062,
+    0xc2513d29, 0xde4d28b6, 0xc53b5a7c, 0x1a4a7d93, 0xb1b4a8d8, 0x899b7bad, 0x7521a547, 0x1844594b,
+    0xd22480cb, 0x333ffb67, 0x4437d765, 0x9630066c, 0x7b206dde, 0x7845d5d7, 0xa93d0dee, 0xedd543d1,
+    0x81e00338, 0x4344dec7, 0x6361d8a0, 0xb21c7ba5, 0x54a8dcbe, 0xde47569d, 0xae8f22d7, 0xcf26ce6d,
+    0xa145b308, 0x79e4eb6c, 0xcf5cced5, 0x002a4e57, 0x6aad2ea6, 0xfc0dffb4, 0x1e9c5934, 0xc7ebe9d9,
+    0x6b145509, 0xb8a8a0da, 0x29cda47a, 0xc35a0a62, 0xb435e898, 0x874f6d9a, 0xe9bef8ea, 0xde13dc07,
+    0x67f074d5, 0xd28c4689, 0xa0202e44, 0xb4bfaccd, 0x67ba6d82, 0xb6dc8e82, 0xb11a0e24, 0xe3d6a847,
+    0xe1887d4b, 0xf18beb2b, 0xca88bb80, 0x46ba9c9b, 0xee8a0d2c, 0x007720b9, 0x7f0555ba, 0x3de1d330,
+    0x80f966cd, 0x2ed7b1de, 0x55bd2547, 0xdf1e87c9, 0x32bb3653, 0x350cc648, 0x119ac3e6, 0xdc2e734d,
+    0x80971a60, 0x139c5335, 0x5119cfa3, 0x98e26f37, 0x6b455d13, 0x07049161, 0xfef801db, 0xe0435e50,
+    0x70f42658, 0xaecbf08c, 0x9489b501, 0x6f8b80f2, 0xefb78648, 0xfc75f889, 0xa07b2925, 0x05fd5a04,
+    0xfb93448e, 0x27e6f770, 0x24b4342d, 0xabe986f3, 0xef2cc1ad, 0xcfbc5b39, 0x6a296b37, 0x49a119ba,
+    0x312c394c, 0xf8d6ba2e, 0xf3fbdd3a, 0xa3f5a48f, 0xfe5c2efd, 0x11bbc83b, 0x26e0e865, 0xef059542,
+    0x58aff5ca, 0x578274c6, 0x9e31d91b, 0x3bdcd561, 0xa9e78ff4, 0xc28efb7d, 0x2daf3ac8, 0xcefcdeff,
+    0x1cfea101, 0xcb76fab0, 0x7be478f1, 0xafb2c10c, 0x7b046a7d, 0xb064b1ff, 0xc2936d74, 0x24dfca30,
+    0x271800ad, 0x4afd6f8b, 0x13d7823b, 0x13d94f8f, 0xbbf09d5e, 0x7b12ed03, 0xe94bdd8c, 0xe0b0e194,
+    0x725f0dd7, 0x42312c77, 0x178447a3, 0x2dd15341, 0xe8918247, 0x87f5cf86, 0xa4a6bec7, 0xd53821c7,
+    0xdf88ed17, 0x7e83becb, 0xb8753f55, 0xad6f54cb, 0xfd1f2559, 0x650d6826, 0x4ed29f27, 0xc4ac3952,
+    0xcc483d2c, 0x588fe108, 0xe2b4cfe5, 0xa01bb323, 0x35019284, 0xe93fc14e, 0x4b5ddf6f, 0xc9cff828,
+    0x74b4329e, 0xb127dddb, 0xb67bd628, 0xfc74cf1a, 0x2a0d3d1d, 0xbcfc5bf5, 0x6e4b6f2c, 0xb612f9da,
+    0x4da389a4, 0x66552197, 0x66441362, 0xa7b016d6, 0xa2bd2ab6, 0x49cbeb95, 0x24d67929, 0x0d3a54ae,
+    0x08cc1ede, 0xa7bb8fd9, 0xd4664b5e, 0x871a0a19, 0x74ffcc04, 0xa489be0a, 0x23eea948, 0xd3969ba4,
+    0xcd658ad5, 0x7a047f41, 0x871d5622, 0x3153eb01, 0x3543cc87, 0xdc90610f, 0x72741158, 0xbbde9176,
+    0xaedadce0, 0x267b4902, 0x48ec5d9d, 0xb2bd16ad, 0xbd8eacf9, 0xd381b9e3, 0x4b49118a, 0xd495ae2b,
+    0x54f6ae2e, 0x72474846, 0x5513f20f, 0xaa1db7a3, 0x47be1b72, 0x50228272, 0xbedc7a89, 0x7f0ca5f4,
+    0x557ace14, 0x2bb26c4f, 0xe00b1965, 0x9aa0ceab, 0xc4ca6b83, 0x91a8af6c, 0xeace1826, 0xb6b2bb67,
+    0x25ae01d1, 0xfaace2b8, 0xa3fa92e8, 0xbd348455, 0xffedb9a6, 0x4e41bc56, 0x745ab7b3, 0xb0d780f4,
+    0x0a4677b3, 0x929f5493, 0x088c9cb0, 0xfe20edc8, 0x1ed85ae4, 0x0cb2d6e6, 0x7bb378aa, 0xea07cbc1,
+    0x534956b8, 0xf0945211, 0x597445cf, 0xf8db8904, 0xb0347e1c, 0x5f3d1cec, 0xf02b195d, 0x886dc0ba,
+    0x67a31d08, 0x0645edab, 0x584ec05e, 0xca264fd7, 0x5071d25a, 0xe123ba44, 0x5be9df8c, 0x5ecaba33,
+    0x0398653c, 0xb318fa3d, 0x3d6f2f2b, 0x298093f4, 0x34647e72, 0xccec0848, 0x5dc13f18, 0x492f7e10,
+    0xb45e30a2, 0x6d593654, 0x181713a7, 0x5ac46510, 0x09e143a2, 0xd318fd74, 0xec3f5608, 0x75b41248,
+    0x8ec8784b, 0x419a0880, 0x4475a02d, 0x579ff923, 0xfe87ee5a, 0x51d392ea, 0x802b61dd, 0xd06a98b9,
+    0x20c1d219, 0xc283a304, 0xe78dbcf4, 0x7de26d42, 0x238eee46, 0x39cae0cb, 0x605dff90, 0x4ea78707,
+    0xbaddd449, 0xd64aba5e, 0xb5ba18e3, 0xfa40e5e7, 0x9e903119, 0xf5ff9032, 0xd026303d, 0x45adb5ab,
+    0x7a2c751b, 0x40bea750, 0xea9486d0, 0xf19f5975, 0xbb8312f1, 0x2df6fc4b, 0x9632bd67, 0xc3be9ca2,
+    0x9fe39e4d, 0xc53691a3, 0xb39e1ed8, 0xf004590c, 0xf3e2f43f, 0x0031f3e1, 0x25624e21, 0x2c4184a7,
+    0x32f60fdb, 0xd0317835, 0xa2965dc5, 0x644e9d47, 0xb611fd85, 0xa0cdd7be, 0xf092a643, 0xcefd9f2c,
+    0x1fb66674, 0x0d488ca6, 0x766a5a91, 0xb0f7529e, 0x1a93d9a8, 0xd47648fd, 0x67d7eb57, 0x53de452a,
+    0x5de14ff7, 0x9889210c, 0x2a570969, 0xe94778b1, 0xc3c5175e, 0x77b83f9c, 0x06d3f237, 0xad822499,
+    0x2abc1fe8, 0xcefdf956, 0xa2f2c868, 0xf6adcec3, 0x0c706791, 0x9c1da1e9, 0xd13c480c, 0x66551775,
+    0x43056d3d, 0xf2bc168c, 0xa71f0b6e, 0xb2535752, 0x3184273a, 0x1c278589, 0xbd3f717f, 0xe3b69590,
+    0xd5c9309a, 0xace5ffbc, 0x2fde5942, 0xe67a86f6, 0xc1a3c445, 0xe255df0a, 0x9d44db2e, 0x5f17850e,
+    0x63cf56d6, 0x32bd44f7, 0xe97763a1, 0x81ed95be, 0xd72c142c, 0xb7baa340, 0x1ae96920, 0xaea24fdb,
+    0x3bbe1237, 0xb993488d, 0x79d2bc74, 0xc3583977, 0xdfa60bc7, 0xa707181c, 0xb26fd98f, 0x1a1a7005,
+    0x2a238c3a, 0x3a8110a7, 0x42ae86eb, 0xb6f7e2b8, 0x78cf21cb, 0x35c6a5d6, 0xd3125c70, 0xbd6ab2e5,
+    0xc2274820, 0x25fa2354, 0xf26027c1, 0x17712dda, 0x249d2d93, 0x9ffe233b, 0xbd96a812, 0x4f5ecf49,
+    0x317285e1, 0x9257f175, 0xce13fe6a, 0x1c0062fe, 0x89cae445, 0xa3390f8d, 0x33840954, 0x18b654f2,
+    0x5c87565e, 0xdc49e1b9, 0x513b9eeb, 0xa2f9336e, 0x73003ef5, 0x666391a5, 0xbb9834af, 0x15676da6,
+    0x73e4a476, 0x470afdb6, 0xb6fa6db0, 0xdf1e319c, 0xeb1cbcd1, 0xd63665a0, 0x75bb1ade, 0xe96b7570,
+    0xb27e4aef, 0xb95f2b21, 0x340b9929, 0x6b140bf9, 0x5f766489, 0xc39b77a3, 0x945f00f3, 0x19bd6ad8,
+    0x452067dd, 0x809a1620, 0xe7c032d6, 0x06d34062, 0x73fe019b, 0x92b2b0c5, 0xcb9a1d16, 0xc1cd4bde,
+    0xa985af2b, 0xb7fa23c4, 0x9c00e3da, 0x5fc9c189, 0x711c9bee, 0xb8458ffc, 0x1829b940, 0xfa3d4875,
+    0xcaa9cf4f, 0x1f895215, 0x0ccb0e4f, 0x9d25a097, 0x0496e2e6, 0x530755d3, 0x5aaf6c8b, 0x652fe579,
+    0xce3abfff, 0xf0b39dfe, 0x8d89d86c, 0x0ae5022f, 0xf3b921df, 0xdd32f1e3, 0x817d6d6e, 0x200aa305,
+    0x5feab73d, 0x4f01d226, 0x899cf1cc, 0x84e89d37, 0x37dd1c52, 0xadedae94, 0xa534b5e8, 0x734761ae,
+    0xbeb26316, 0xa8aeda8f, 0xb9b39a9c, 0x6ae61e6c, 0x12158e6b, 0xcfc215c5, 0xde351264, 0xc75911c3,
+    0xff03967e, 0xc96e1e4a, 0xa6110bf7, 0xd0ca78d0, 0x56888e5c, 0x1de198fb, 0xe3e636ee, 0x7f83f84b,
+    0x5d546262, 0x9e4bddce, 0x0bd8e666, 0x5686bb87, 0x8ec593a8, 0x746f9876, 0x7d82d123, 0xaf316eb3,
+    0xcd19decf, 0x90bd66ff, 0x2ff2f6c2, 0x2b0e20e2, 0x262a23a3, 0xf2bdc4c0, 0x32da675c, 0x48d1d669,
+    0xd515205e, 0xb8dbc82d, 0x98be6201, 0x08448954, 0x38b97720, 0xf3da43c4, 0x8fedc3ba, 0x261bb036,
+    0xdc6deebf, 0x1a72ee74, 0x4deb07c5, 0x8972e539, 0x5463e66e, 0x650dc737, 0xa771c99f, 0x7cfa0b91,
+    0xb4fa02fa, 0x4f01766e, 0x190af9db, 0xdc6c06e0, 0x436e9067, 0xced81717, 0x0a21f181, 0x21cbac28,
+    0xa62f2af3, 0x630ef464, 0xb08b5535, 0xa4dcd36c, 0x34467905, 0x686f64c5, 0x14f4fd55, 0xbbfa74cf,
+    0x4aba9d62, 0x438cb21c, 0xcb477470, 0x78fac89a, 0x1d93acd2, 0x263c3098, 0x4dd495ec, 0x9705b802,
+    0x7eb773f3, 0xe176ce8c, 0xb861b211, 0x692d31b6, 0xda5f33a4, 0xbe40c6c3, 0x09291f92, 0x9446fd9e,
+    0x30598f52, 0xfebbe55b, 0x0b6c0ed7, 0xb2451474, 0xda27afc7, 0xe60b5320, 0x09f22188, 0xc12406b3,
+    0xd9fd89d3, 0xb086e2c8, 0xd216f238, 0x39a6834a, 0x414fc5e9, 0x6970a632, 0xa0422963, 0x5d175cf9,
+    0x23632662, 0x17aa22fc, 0x940bd936, 0xfd29a9ff, 0x216d3dd5, 0x3e88e66f, 0x5b66ff6e, 0x8dfb2a1e,
+    0x61c6840d, 0xdf215a38, 0x5f5f0df6, 0xa95b6076, 0xdec96319, 0xc6522bef, 0x105486c3, 0xa322b63b,
+    0x9da56fb2, 0xb9f1ca27, 0xe7c1fa71, 0x3b4aa50a, 0x4fa4cece, 0x6ef4cb59, 0x2fda9fa7, 0xbb8d1fdb,
+    0x69080280, 0x87f560c7, 0x01af43e3, 0x868d6346, 0x0f94a491, 0x82dbd310, 0x558868f0, 0x06ddceac,
+    0xf4891bd7, 0x8c4ba774, 0x897d9a5a, 0xbf55c6cf, 0x74488b4e, 0x1934edb0, 0x68f3c3c2, 0x523db4ef,
+    0x08d6907d, 0x592d4585, 0x78514a09, 0x70825f43, 0x76e5284e, 0x00065d4e, 0xc058b094, 0x47d6c968,
+    0x6e447f1f, 0xab7c87ed, 0x1fd69845, 0x8515c043, 0x23f25df4, 0x30762990, 0xb2aad747, 0xddde8435,
+    0xb1d75b76, 0x227c52a9, 0xfa0e12ce, 0xe4ed0f2e, 0x6c52cfd2, 0xf328277c, 0x41dce671, 0x27fbca0d,
+    0x0f4af411, 0x67fabcaa, 0x280a92b7, 0x674a3067, 0x85a28e67, 0x4dc21e99, 0xbd31416d, 0x65af70ae,
+    0xdc5a22b5, 0x4fd0bdb3, 0x632eebe7, 0xec51af42, 0x0fc50c8a, 0xdcec757c, 0x23b37a1c, 0xcddfffdd,
+    0xda88a932, 0x054fcaf1, 0x0ffca2d1, 0x4f44814e, 0xab024261, 0xdeb19e2d, 0x9980bdd3, 0x8ff2c471,
+    0xa60f627a, 0x9437b271, 0x87ec3c54, 0x86e342dc, 0x740eb96d, 0x32951807, 0x693e223a, 0x0e98efde,
+    0x0e32b72d, 0x9d201e51, 0x5c7e57c0, 0xd0e7dc89, 0x26c279da, 0xbf907463, 0x6c127859, 0x9587b629,
+    0x1cfbe001, 0xaab6ca2f, 0xb8b57b47, 0xeef04485, 0x9bd7bfa8, 0xf216449a, 0xbb9705ce, 0x129525ca,
+    0xc878f54c, 0x6078d58f, 0xfe59ffe4, 0x1ffb02cd, 0x2b0fe850, 0x2624304e, 0x92e8f169, 0xbdfb2623,
+    0x32395049, 0xdc2eace4, 0xbfe790e7, 0xbec55c93, 0x2e6258c7, 0x91064f0b, 0x2cc2affd, 0xdbbd6ad0,
+    0x5061be4c, 0xaa2839e6, 0xc78dd567, 0x0c6a9f97, 0xb20a1880, 0x0b5b576c, 0x538e49d7, 0xd829ae7f,
+    0x9f871bbc, 0xee67b8fc, 0x5fdd5985, 0x06ad9634, 0xac0dcb5f, 0xc899f0e6, 0x49d4245f, 0xa237dbff,
+    0xfb2065dd, 0x4fb5f2a9, 0xb130121d, 0x74168d09, 0x0383029a, 0xda4f44b3, 0x9736da06, 0xbdf65200,
+    0xca5e0125, 0xe56509ad, 0x18faaa18, 0x6f8afa5e, 0x4f44968f, 0xb3b488a5, 0xd61593cc, 0x10896af6,
+    0x11dc08ab, 0xe4099548, 0x462591dc, 0x0499753a, 0x44436bd2, 0x7064538a, 0x1a148ac0, 0x81c7c928,
+    0x8e5ae4fa, 0x81b20621, 0xecea5bb7, 0x8b240580, 0xde405303, 0xde4d8a51, 0xc994fb29, 0x60b9060a,
+    0x2bf4b85f, 0xbaa4e5e2, 0x04bf697d, 0x037ebdb9, 0xcd4d9b7a, 0xa7d31b49, 0x40208f05, 0x65164b84,
+    0x8cb1b33c, 0xedb5fbf9, 0x97a8d131, 0xa4047757, 0x51920b5a, 0x277e35e9, 0x8c2d3511, 0x65590845,
+    0x8a25bae7, 0x6282f4c5, 0x48994b64, 0x62ecba20, 0x08d3056c, 0x41932da7, 0x83ee124a, 0xe3ba3e91,
+    0x42cf5fcd, 0xb05e2c60, 0xe41c95c5, 0x0abe85da, 0x705c675d, 0xcca80e69, 0xfd93a68f, 0xda80eddb,
+    0x91749455, 0x4dc7ad2c, 0x48244718, 0x273e5e56, 0x8db26b9a, 0x14e75beb, 0x38a3361b, 0x549beb26,
+    0xa8281699, 0x8e37c170, 0xb76c85be, 0x2efd2614, 0x72ba70b3, 0xe302aa23, 0x5b68e342, 0x414346f3,
+    0xe23e6c54, 0x361a265f, 0x94dc613c, 0x786286a3, 0x9e7e0840, 0x0f69ae9c, 0x0c08fedc, 0xd2bf7f58,
+    0x0071ccfc, 0xca792621, 0xf47a96eb, 0x4f216ca6, 0x65890407, 0x32c9c838, 0x508cf90b, 0x3ea2f2ec,
+    0xac99e2d7, 0xec5c5b00, 0x4742e464, 0x8547fb83, 0x42ce11ea, 0xc4ed1d33, 0x5e4cd949, 0x97ff572b,
+    0xcf00cf6c, 0x7119b6a1, 0x440eabe7, 0x6ffd0e13, 0x2c42e4d1, 0x259e737e, 0x4daf066f, 0xb2047ed0,
+    0xe402ea04, 0xfa93d5d4, 0xe21a34b1, 0x6a337e83, 0xf7270bd8, 0x00c86cfb, 0x895c7d09, 0xf6cb024e,
+    0xce9c454e, 0x22a6f34d, 0x0d3437ab, 0x2539652a, 0x88508bb6, 0x80648444, 0x0a8c48d8, 0x1660a9f5,
+    0x23a18cb3, 0xbbe2bef3, 0x65f177f3, 0x6a59d66d, 0xebf81548, 0xda62992b, 0x6038cfea, 0xe895b29c,
+    0x00000000,
+    0x9098a561, 0x4d275403, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000003138550867693340381917894711603833208051177722232017256448 */
+  { 0x00000000,
+    0x736420ed, 0x8f390611, 0x7c8bab5d, 0x979d8a0e, 0xc9d48bf1, 0xdb1a262a, 0xc16bb424, 0x4479e10d,
+    0x6f1699eb, 0xb1fa9314, 0xb4f66f71, 0xe72602fd, 0x4cbb46c5, 0x9ab9b4b4, 0xe62f204c, 0x0b0d0ccb,
+    0xb4453e3a, 0x944d4b7f, 0x1a428586, 0xc55ca1b6, 0x3e1843ec, 0xbe62f0a7, 0xf160f820, 0xd1edb753,
+    0x1c704d9b, 0x81ee08ff, 0x85d0ec1d, 0x69b11563, 0xa7c40db1, 0xe6046934, 0x0bca5644, 0x9cd65cf0,
+    0xfd513f9b, 0x17c27cfc, 0x3c707da7, 0x0d49845c, 0xce39c695, 0x9802949f, 0xb867f9a7, 0x34bdb801,
+    0x090c1222, 0xed9656b7, 0xc7e4cb00, 0x711e7f93, 0x624d14f2, 0x8a95a1a3, 0xd3546249, 0x8708c778,
+    0x19501118, 0x2adb6ba4, 0x5d8304fe, 0xcdc4f5c8, 0x76fd79ff, 0x1f7e509f, 0x1b3cfb95, 0x04f1eb09,
+    0xf408e17e, 0x9a4f9883, 0x2e362498, 0xfa233077, 0x36586c89, 0x97e3ab7e, 0x5c0043c5, 0xc3cbe60d,
+    0x780f8dc0, 0x70032d51, 0xb3ca9f32, 0x3b8d0613, 0x3359bb68, 0x72a9d423, 0x108aaadd, 0x95b56591,
+    0x54d534dd, 0xe53e0e7a, 0xa57b5ba2, 0x3345839d, 0x6c2f8467, 0x631de275, 0xd2f17738, 0xaf70babd,
+    0x1c7ba340, 0xbc533640, 0x1b114819, 0x511c0969, 0x7cfb5eb0, 0xadae3735, 0x2f61f5bf, 0xc0b439f0,
+    0x578c3817, 0x7ebc1329, 0x2237215b, 0x0266617e, 0xecfd0403, 0x87318893, 0x9171867c, 0x3e29a0be,
+    0xb4145365, 0x3657bae4, 0x8026e71c, 0x476c9225, 0x31b6c844, 0xebdf12d0, 0x380faef0, 0x66ad41b9,
+    0x041e04b8, 0x0255f253, 0xf1ca1210, 0xaa1bd9db, 0x22bb62df, 0x0286ac1b, 0x0177d53a, 0x8f0535d1,
+    0xdff1c5ca, 0x52403b17, 0x5649571d, 0x625b72e3, 0x3c831a65, 0x4786bddb, 0xd4f7abd5, 0x88a5264f,
+    0x8988ae30, 0x20b93853, 0x160ed5c4, 0xa25f9aa5, 0x5eec44be, 0x3c51c89f, 0xe740a175, 0x3a158c36,
+    0x8dd2e05f, 0xe05dcae1, 0x5ab442c0, 0x8bfb2d79, 0x3141a29b, 0x8170e881, 0x01ee541e, 0xdf1cce6d,
+    0x94eced6b, 0xe0261aa2, 0xa2712234, 0x9db4bdd8, 0xafec8e7d, 0xbec7c6a8, 0x689942d3, 0xa818ff19,
+    0xbdc50454, 0x2444c9b4, 0x987ecb74, 0xebf025f2, 0x697fabd8, 0x9d0659fa, 0x3f15e019, 0x025a723e,
+    0x7639a457, 0xf06fd5a7, 0x92a63cbc, 0x96ef84f9, 0xc151bbca, 0x2a8f545d, 0xb2d29ad6, 0x4f0dd6e2,
+    0x5340a99f, 0xe8754da8, 0xac23aca5, 0xad1cee09, 0x00703031, 0x5e5bfe85, 0x4ec60e73, 0x029ab3bd,
+    0x415f156d, 0x8ec9fef4, 0xbe26c770, 0x578cae47, 0x5ef3225b, 0xcb4a5a25, 0xb22c93ac, 0x00edd6be,
+    0xd167d73f, 0x2b60c112, 0x9a06e3f1, 0xd45a6a57, 0x8d62128b, 0x89adefb9, 0x2679a1b6, 0x252383d9,
+    0xaa1c8910, 0x25bfca79, 0x82903e85, 0x1a65ce88, 0xed32beb6, 0x3e8cb968, 0xb0808bae, 0x43d880ed,
+    0xd18646b4, 0x4a918ab1, 0x81399cb0, 0xdc777a8d, 0x6ecbea8b, 0xdb8b866a, 0x464079b0, 0x9482ce75,
+    0xabaedad2, 0x7300b9cd, 0xa682f005, 0x6adeb14d, 0xa329d3f1, 0xde7b9988, 0xb3c41de0, 0xd8a8196f,
+    0x236504e2, 0x558e57d2, 0x2479577c, 0x8a349ee0, 0xdcfece88, 0x566e471e, 0xfa336545, 0xaebcc678,
+    0x45ecf5ac, 0xa5d04280, 0x532b8195, 0xff6f24a1, 0xcf529c88, 0x83914606, 0x869aaa09, 0x1d90537a,
+    0xa563f2df, 0xf3dd92e3, 0xb86377ac, 0xe34a07c0, 0xdc61903a, 0x08af04c6, 0x99ee05a1, 0xac2f5d82,
+    0x74963c68, 0x1124fcee, 0x4f82dac1, 0x3b3c306a, 0xf0496b72, 0x4baaadf9, 0x23a19ff4, 0x8d1ddce9,
+    0x6bb05279, 0xa8a831b8, 0xca355d25, 0x0425191f, 0xc77c964f, 0xb3548d63, 0x11ce98f7, 0xb45ebe9c,
+    0x1b0a66e0, 0xffb6ebec, 0xb6e1aef4, 0xbd139c7a, 0x20f8dc17, 0x04ffae72, 0x1027732d, 0x89dd2cee,
+    0x21a1ec1a, 0x916eb955, 0x67392a10, 0x466c4b61, 0xb89bdd82, 0xbec51458, 0x83dba131, 0xd8eaee8c,
+    0xfe989706, 0xe3d0a805, 0xbe345d09, 0x4223bd55, 0xedfa1a08, 0x3c683630, 0xe2839a66, 0xc9777000,
+    0xc5c01948, 0x88da660b, 0x791ae772, 0xfc3bb2dd, 0x7d19029b, 0x7bec7ab6, 0x02080502, 0xef336170,
+    0xa64273c1, 0xdd23e8df, 0x91c0f366, 0x81627f48, 0xf500a560, 0xdd269dbe, 0x7bd1a2e4, 0x2d280103,
+    0x4fe89901, 0xa922e42f, 0x07c11e0d, 0x4ede42fe, 0x393a997b, 0xa511fcd9, 0x6158331d, 0x8521898f,
+    0x33d5e15b, 0xb55d1369, 0xd411a3fc, 0xc1e07b4b, 0x153dd5fc, 0x683b11c7, 0xb23a89ba, 0xc5a7b2d3,
+    0xb4a9fa75, 0xe362586b, 0x06fdcf00, 0xaf160217, 0x820636fb, 0xbdabaa8f, 0x4c6d99b7, 0xfe5a87a1,
+    0x9c453246, 0x89dbfa19, 0xbc777ac7, 0x0f973df9, 0xffc5ed36, 0x77e6864c, 0x29730b14, 0x4014d5e7,
+    0xebf81c6c, 0x53e84d70, 0x6073f44e, 0x7c585618, 0xb6090edc, 0x2123a631, 0xe8048272, 0x65de9e6e,
+    0x04798383, 0xa0bb6eef, 0x2437ccd6, 0x7f8d400e, 0x4e793b75, 0xc418c6e0, 0xa4444f4e, 0x4059d92e,
+    0x05e21d37, 0x641fe3bb, 0x1b114b4b, 0x684a4d70, 0xcd139961, 0xdb20f694, 0x175f8e4a, 0x666a9845,
+    0x92f93aff, 0x3bc74722, 0xd279b52e, 0x5b85d00e, 0x76e8d7cf, 0x2d382167, 0x5dd02246, 0xc0ea2274,
+    0xca1f62a1, 0x5eecad32, 0xf33da724, 0x18da4cb4, 0x68d070ae, 0x74e169d5, 0xb37173fe, 0xada9ff18,
+    0x36686bc0, 0xe5d97f2f, 0x97020465, 0x539fb967, 0x59e42612, 0xa409f8ee, 0xbdd46932, 0xadfd5bab,
+    0xc137479a, 0xe5027dd8, 0x49e78080, 0x814b9d1a, 0x8f03e1f9, 0x171cc773, 0x942eca04, 0x7a07f2ed,
+    0x17826d7b, 0x69bfe152, 0x2b518f44, 0x74b0ce9c, 0x1bcac387, 0x20d37b12, 0x7074934f, 0xa33465be,
+    0xc344a281, 0x8961b850, 0xc01d9076, 0xdb1dd706, 0xf40baeeb, 0x4431b2a2, 0x6c67fbda, 0xb73f3bf6,
+    0x61472ca0, 0x282c5a27, 0x6a9a9fcf, 0xedf1a31a, 0xd1308008, 0x18f37634, 0x4043747b, 0x4e799807,
+    0xe772a671, 0xabf7a6e0, 0x7a105eae, 0x3f140591, 0xc9df4aa8, 0xc7063224, 0xa57229bb, 0x1a2f5be5,
+    0x5753d12c, 0x48ac64e8, 0xfd78145a, 0x783b5e42, 0xb6907ad7, 0x258fda7c, 0x875ca003, 0x0e23092f,
+    0xff548813, 0x890f44c2, 0x55a1f72a, 0x1310b2dc, 0x808df18b, 0xa62b44e8, 0x4c869cb5, 0xda3bdec3,
+    0x96187356, 0x4823aeb8, 0x028ee249, 0x1a23144d, 0xdf7e915a, 0x69aab1b3, 0xbd501462, 0x3a5a1515,
+    0x12c70e9b, 0x76f0bea0, 0x3f60b342, 0x5d4fb0f1, 0xfdd0d7d3, 0x3db8eb03, 0xe42b00fa, 0x3562f8ef,
+    0x77afde52, 0x2c98ad43, 0x30d2145a, 0xf76e3c51, 0xa532ba39, 0xfdd621f8, 0x883ea7aa, 0x8f6b7c7c,
+    0x770af9ca, 0x875b2e81, 0x5e43745d, 0x68355a46, 0x6ad9accc, 0x329aa8be, 0x51593860, 0x19d89e1d,
+    0x0c3dd5d3, 0xff9f93d2, 0x42233096, 0x092c4994, 0xe4fb693e, 0x95d32d65, 0x7dbb93ad, 0xd3f63b89,
+    0xf4e45384, 0xa6ac1b0a, 0xb065f22a, 0xc2354c89, 0x814c38a2, 0xda079add, 0xb9e8def0, 0x06548acd,
+    0x30852ff9, 0xf4ee7ff4, 0x2387ef71, 0xe833d84f, 0x0c8f64be, 0x513e8df0, 0xbdd344b4, 0x520c324c,
+    0xdd7960b9, 0x1cd253d8, 0xe3580dee, 0xb12aa3fb, 0xc8c7933c, 0x31054ccf, 0xbaafcd5c, 0x14da8239,
+    0xcdcfa8f2, 0xaa20d8a8, 0xba672ff1, 0xc6102453, 0x0091b4d6, 0xd627907e, 0xffbe5de0, 0x36d7b7f6,
+    0x2e0b8a32, 0x6bbc5232, 0xed87b728, 0xb7c54a87, 0xbc628ec1, 0xf10eb434, 0x1aef2408, 0xea2cb236,
+    0xc4345fa7, 0x6eed4a17, 0xd6897985, 0xfaefff76, 0x5b93fd8a, 0x14af00b6, 0xe5877a13, 0x3d76636f,
+    0x5c29718b, 0xe9feec37, 0xae462cf2, 0x587e98ff, 0x685a0920, 0x1f6461db, 0x66daafa9, 0x61adddf0,
+    0xb2d064df, 0x5d13d479, 0x8a4bfe33, 0xd4ad944a, 0xe7faf6d4, 0x25119f3a, 0x25c0b399, 0x118940e5,
+    0x548ee17f, 0x081e6d25, 0x440acdda, 0xc96cb74b, 0x7d49526c, 0x06b0b80b, 0x29b0c13b, 0xe60f4022,
+    0xaa55be5b, 0xa27c43fc, 0x8d9921e7, 0x9a000534, 0xb640e4d3, 0xeb27ca8d, 0xbfde5da7, 0xf92bba7d,
+    0xdc4afe83, 0x098a664b, 0x0ddb3705, 0x69f6e4df, 0x7a5cd71e, 0xdb5c923b, 0x6c2c4194, 0x47687474,
+    0x9dad372a, 0x106db43d, 0x60a13f01, 0x341d3554, 0x3e6ae959, 0xe1253f2d, 0xf16b9b7d, 0x8a41b0c3,
+    0x6ad9e0ff, 0xd62044f5, 0x23ee8667, 0x0bb79859, 0x2a98a928, 0xfae5981b, 0x7ba3576b, 0x36623c87,
+    0xf5e7bd8a, 0x80c95957, 0x11915f81, 0x94a2e46f, 0x35f9aa21, 0x314114d1, 0xaae8d3f3, 0xe406e9bd,
+    0xaa4524c1, 0x14f0eb8a, 0x6c5f9dc0, 0x1a180c7c, 0x885e99fc, 0xbe0fa66e, 0x7d4616da, 0x3635f587,
+    0x063284bb, 0xc2f96fc4, 0xa93ac5a7, 0x2823091b, 0xbe276618, 0x3a3506dd, 0x2beb607b, 0x5c69751e,
+    0x3dd5daf8, 0xf20aa055, 0x1d549216, 0x3d6bb606, 0x8c31fb93, 0x0782447f, 0x26b8e7fb, 0x2a95241b,
+    0x7bfe907c, 0x1bbffd8d, 0x1d46baaa, 0x800dc5c0, 0xb405c8fe, 0x2d8bd03b, 0x6d300f0d, 0x8873a511,
+    0x1201f87c, 0xc99ec49a, 0xf5b04821, 0xeaf7b05e, 0x775a3b02, 0x04bf62e9, 0x5ae0c2a7, 0xeed049b2,
+    0x126ee50f, 0x5beaadba, 0x59636381, 0x9c1b7079, 0xadbb1965, 0x2ffad72a, 0x39943228, 0xdf4c2c70,
+    0x8c864b24, 0x8729ea46, 0x04232d46, 0x91d2f2e9, 0xed9b5d85, 0xf5e906c7, 0xff8b6a5b, 0xc7abc5c9,
+    0xf61e72ca, 0x2786c667, 0x3dd83fd4, 0x1d58e7be, 0x0663a70b, 0xb6f54ec1, 0x401e5b9a, 0xaea8ec81,
+    0x7c51259c, 0x714697d7, 0x813be359, 0xa37b10cd, 0xac8f6b24, 0xa401ceab, 0x61b3886d, 0x3f6d16b5,
+    0x945d3920, 0x82a24689, 0xf1a3126b, 0x6c823543, 0xc9a20865, 0x945652f0, 0x3ab2fb82, 0xbdba8cdc,
+    0x0925616e, 0x3dbc7f63, 0x7b249fd2, 0xfdcf4f18, 0x9518a33c, 0xa964bd81, 0x6e4fb77c, 0x0b0699aa,
+    0xfeb7e374, 0x2e605687, 0x9539db35, 0x599a184b, 0xb73b90ad, 0x793ddc20, 0xca724c39, 0x76671759,
+    0xac7f6815, 0x029ba4b0, 0x999bd298, 0x4909fe8c, 0x5146ea19, 0x08c6c913, 0x2e424630, 0xb129360e,
+    0xe6fc9a9e, 0x1b9ca542, 0x24edf9e2, 0x8ce95448, 0xa2d1c754, 0x7d5430f6, 0x2578dc39, 0x3179432c,
+    0xb5bf53f6, 0x8c81ce17, 0xfa4cc332, 0xa0023aab, 0x05908aff, 0x50744a78, 0x9fe79cf0, 0x12c41788,
+    0x9ca14362, 0x834dfe7a, 0x9080cabd, 0xeea823ae, 0x9cd2a46d, 0xe85b617e, 0xb5927f1f, 0x28e62ab8,
+    0x008d6449, 0xd5958344, 0x919fc825, 0xe9876e88, 0x2d3b87b5, 0xab706c03, 0x6df20860, 0xa91ab241,
+    0xbff605c7, 0xc856d60a, 0x627232e8, 0x36d2c372, 0x953219dd, 0x4d364c69, 0xd15150f0, 0xaecdadef,
+    0x1c74650b, 0x0541193a, 0x2f7f76b7, 0x88c75554, 0x34755fc2, 0x3eef17f3, 0x55603b19, 0x23b743c1,
+    0xacb964b8, 0x946c1f77, 0xdc2067d4, 0x5182edcf, 0x4e9bf811, 0xfacf2b60, 0xf5833003, 0x20d2533e,
+    0xd948dcc5, 0x6024dfa8, 0x08985b29, 0x55145b13, 0x73af27a6, 0x82f15df9, 0x40e979ec, 0xb2ed51ee,
+    0x382f986a, 0x7682656f, 0xeb5ab8cd, 0xc9dcbca9, 0x03d92f63, 0x997d0730, 0xa5ccb129, 0x318bcfe8,
+    0xfbf4c628, 0x93c3121e, 0x29dcc0ee, 0xbc244670, 0x66d2da66, 0x006e7e07, 0xaf3809ba, 0xb9e36e3c,
+    0xc707b1e1, 0x70c15537, 0xc790239b, 0x0163dca1, 0x4fd7f53a, 0x972446bd, 0xe428fa31, 0xf6fb4128,
+    0x97e2af31, 0x7eec8ff8, 0x4fd0c69f, 0xa0e0fcf3, 0x4afea32d, 0x75de4aa4, 0xa7100e02, 0x54d2d7fe,
+    0x9e79326e, 0x7fa29b29, 0xb1540218, 0xac5f270c, 0x468599af, 0xc81e303e, 0x99f34a5b, 0xf1ea1e46,
+    0x85ab61b0, 0xd8e3e40d, 0xb70589bd, 0x6ffdc501, 0x115c0bb8, 0x4d20eb06, 0x4a9c64ae, 0x1cfb3595,
+    0x9fc4c582, 0x00a7c705, 0xc029d0ff, 0x79a25db9, 0x913d08fc, 0x44f4854e, 0xe2a71c5f, 0xe1b27ba0,
+    0xf599c69a, 0x18880aaf, 0x5e69d638, 0x6a9c5ea1, 0x04c81df5, 0x0096d7a2, 0x54f3928c, 0xa7925e5e,
+    0xf7b50d85, 0x4280b48b, 0x0c060af2, 0xcff72296, 0x39888531, 0x6368ee7d, 0x70a95b03, 0xffdc0584,
+    0x2c1ffd78, 0xaaa06ffe, 0xac798a79, 0x2edcbdc2, 0x3f683279, 0x9ac8d5b6, 0xe9831e4e, 0x786ad5c5,
+    0xbc068657, 0x8658ed28, 0x31aa1cc4, 0x46c3bdf1, 0x72ac83c7, 0x1fc89f3b, 0xa027e7c0, 0xdda7f179,
+    0x592286df, 0xcd225f52, 0x28c6f043, 0x8bbad83d, 0x36237c23, 0x89ff9b4e, 0xa2b4601c, 0x6326b881,
+    0x004b782a, 0x91573f25, 0x0b40c18d, 0xd48c5442, 0x5a521a05, 0xd435959c, 0x8be8912e, 0x4685388e,
+    0x4cdb90d2, 0x21a15ce9, 0x6cc73c26, 0x14a07d36, 0xe1be5bbf, 0xce59b622, 0x13c29b42, 0x725c590b,
+    0x37e3d975, 0x9eadb824, 0x11b973d0, 0x0705d9cd, 0x0b76b079, 0xdcbb0425, 0x9dc292c1, 0xabb300a1,
+    0x29ca38af, 0xbb1cf5b0, 0x40aa840d, 0x2e090800, 0xa0c4ef3a, 0xc521422e, 0x93a603c0, 0x9a7dbd59,
+    0xd6f160d9, 0xbad42404, 0xaa7eff8e, 0xe7425b6a, 0xadcd1dae, 0x81d19190, 0x26cd6668, 0xf5598f23,
+    0x9687fdc8, 0x1a498827, 0x5783a4e4, 0x9e2ff46a, 0x84e3659a, 0x14c64fcc, 0xc48881af, 0x13118a34,
+    0xc361c8f1, 0xe2cc8844, 0x67d9e0a3, 0x85df6fe8, 0x8de83c7e, 0x1f600eee, 0xf952ad65, 0xb7c10309,
+    0xeab2ffe3, 0xc38ea240, 0x4cddc371, 0x24625e2d, 0x6c46497b, 0x86b85807, 0xd4258890, 0x39313d2e,
+    0xb7769483, 0xe7f90acf, 0x3213efec, 0xf8fe8894, 0xf9bece5f, 0x83335ad4, 0xe82a921c, 0x2c28136d,
+    0xa5dac348, 0xc2b6add8, 0x1e414fa0, 0xea6960fc, 0xecf3c136, 0xf205ae6b, 0x01d87c74, 0x37c4611e,
+    0xb328cca0, 0x806f1c93, 0x92077795, 0x742297de, 0xc5923e7c, 0x5b6c0335, 0xd27358c7, 0x0d5a5914,
+    0xb16f0f63, 0xb6ae7b45, 0x2861dcb7, 0x66d4a560, 0x58e05bd3, 0x878ef8f6, 0xfb6febb8, 0x25b01e56,
+    0xe1c5113a, 0x6c85efd0, 0x36942fce, 0x6c5b472a, 0x469cec41, 0x22adda81, 0xd046fb9b, 0x527d91e8,
+    0x117d8d36, 0x0a2fe85a, 0x6898bb59, 0xbd341f73, 0x1632c5b2, 0xb0e7ed7d, 0x36c8badb, 0xaa9aa3f3,
+    0x79d41c59, 0xae8cac32, 0x21d13f0d, 0xa2c29ea0, 0x0eed69da, 0x52f58758, 0x3412ac9e, 0xf5b5a11e,
+    0xfd7567c5, 0x25acfca6, 0xabf92c30, 0x99396f04, 0x7a2cb3f8, 0x387e2950, 0x5b570006, 0xfd720318,
+    0xbde9b329, 0x3bac3c21, 0x3750be49, 0x88e15b68, 0xa3511a05, 0xd2047a24, 0xdb02f103, 0x6aedfb04,
+    0x0ae7a27c, 0x64a69a74, 0xc134eadb, 0x23f792f2, 0x71839a7e, 0xcb0431d3, 0x14e14926, 0xcf99d664,
+    0xd219f6ee, 0x4a5eb258, 0x687572d5, 0xc9394f88, 0x68f59c9e, 0x4e3552ba, 0x5c49ce2a, 0x88aefa6c,
+    0x1f8f0eb7, 0x20363029, 0xe0e0949c, 0x23717d65, 0x81fc3c51, 0x09bda3c7, 0xb761ac25, 0x2e85e4f4,
+    0x67dc69cc, 0x8974bc27, 0x694cf334, 0xb8ccaf39, 0xbae65bc1, 0x13c8fe34, 0x5100511a, 0xac8ad4d9,
+    0x00000000,
+    0xc84c52b0, 0x2693aa01, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000001569275433846670190958947355801916604025588861116008628224 */
+  { 0x00000000,
+    0xfd2c44e7, 0xe1d37627, 0x965ee24a, 0x12960990, 0x0aecbf54, 0x7fe01c8b, 0xcd9dd429, 0x686ed5ad,
+    0xfbfd1c37, 0x4032620d, 0x0af90c68, 0x8dd75513, 0x80ae173a, 0xfdcee68f, 0xd3a55ef8, 0xaba1df93,
+    0xa81d37ac, 0xcdb73f04, 0xdaf5a905, 0xfda3ad31, 0xf19522c3, 0xd07a4c6a, 0x34a80480, 0x004e6dfd,
+    0xd40404ae, 0x9a849629, 0x18cc59ad, 0x2e42c3cb, 0xf6903fa2, 0x916be724, 0x86560de9, 0x913669f2,
+    0xe00c8d94, 0x955d8e22, 0x91ac9ece, 0x677f8b7a, 0x3f508e8e, 0x5cd8d03e, 0x7a8ae22c, 0x715e3de2,
+    0x617b02ea, 0xce6cd1dd, 0xebd0bb60, 0x2a06f3fd, 0xdfa86524, 0x1ba227df, 0x57ce7056, 0xf9650789,
+    0x34bf1c5b, 0x4efae412, 0xa1852eaa, 0x1aae9ec9, 0xd1d97bd0, 0x0e81654d, 0x5fb89757, 0x5ff2345c,
+    0x91ddd145, 0x4a8aa964, 0xbabb51b9, 0x9cd5827b, 0x0d72cb90, 0x0abd9ca1, 0x683835b2, 0xb67c25ed,
+    0x62f08b24, 0x07e861a6, 0x812dfb2b, 0x97af28fd, 0x2ed405c1, 0x135eb357, 0x6a85ef66, 0x1340afcb,
+    0x644215ef, 0x1e828ebb, 0xd6c67428, 0xc0d27b54, 0x8d7a73b2, 0x400f0be1, 0x20d0f6dd, 0x34f15da6,
+    0x815191b8, 0x2602541e, 0x1194c424, 0x1622236d, 0xca8baf62, 0xb74b1c2e, 0xe0fbe6de, 0x3a52f32a,
+    0x771e2baa, 0x3eb09568, 0x33e4dee1, 0xa8087119, 0x5053319e, 0x3248ba6c, 0x574629b1, 0x488b4683,
+    0x7ae77fba, 0x5b4c24ba, 0x1057f88e, 0x98001132, 0xb0f37b73, 0x331e4f60, 0xaa656645, 0x9f0e4fa2,
+    0x5c254134, 0xc21e4941, 0xb5d285e5, 0x9a1f6c72, 0xaaf25292, 0x7d9197e1, 0x1326957d, 0xef7558b9,
+    0x1f016bf8, 0x26e4d792, 0x8511e87a, 0x63027887, 0x82f12eeb, 0xc5a4b488, 0xb7f7ca0e, 0x3ebb29e8,
+    0xec7a05b6, 0x39b5e215, 0x26be6ebf, 0x4210c117, 0x7a79a05a, 0x2480c1c2, 0x85218d4d, 0x7791f8b7,
+    0xb83d1e6f, 0x5b0be86d, 0x84a89317, 0x61eaf833, 0x330ed6ea, 0x6ac94789, 0x7e085801, 0x9ceca123,
+    0xeda1a551, 0x8bf39c75, 0xaaf582b8, 0xb60127ed, 0xa78b0e3d, 0x261e96e1, 0x2853f67c, 0xa69be026,
+    0x33153fc2, 0xe093cb6c, 0x5b4c6e76, 0x6d234d80, 0x2f0ba42a, 0xa9f07c80, 0x07062fb2, 0x3b8b38fc,
+    0x72f66fd0, 0x4817c3bf, 0x5c0f4a5a, 0xd4388af4, 0xa497097d, 0x9ceb0d43, 0x710aaadb, 0xef32f699,
+    0xd267bd72, 0x674f5d60, 0xd49ba25e, 0xde597588, 0x8e70c8c3, 0x8ac62a37, 0x120bcf02, 0xb6784446,
+    0xd5c8479e, 0x4d131fcb, 0x27f76bf8, 0xca4f6901, 0x01f20e0a, 0x9658a9b1, 0x2917f323, 0xcd80040e,
+    0x0a4f81cb, 0xb8f8f21a, 0x9242b677, 0xf73f8b94, 0x93c327ed, 0x1e7d2227, 0x9570e0b9, 0x9d7f2127,
+    0x3ee30e10, 0x1fcbaee6, 0x0962d6a9, 0x74112da7, 0xeccbccf2, 0xf3141169, 0xfece89f3, 0x90e5b630,
+    0x6c26e0f2, 0x7c14ccde, 0x9a3a4515, 0xa3bc39d5, 0x16a7dc24, 0xcc7da671, 0xf3f632cc, 0xf69c75d3,
+    0xc065c885, 0xfb390671, 0x2d8c6433, 0x8819a61f, 0xbc270da1, 0x2e4e58ef, 0xa8940f4e, 0xdbc1fb5f,
+    0x2456f1e0, 0x01e74204, 0x2b0f90a8, 0x504237d7, 0x1c2df088, 0xee3aa492, 0x62b0d623, 0x0b201793,
+    0xe56304fc, 0x951a5402, 0x18b4e0e2, 0xa8a3daf9, 0x2eea4c13, 0xfb685c2f, 0xab88dd79, 0x74edaf55,
+    0xe64340fc, 0x5c0ece5f, 0x0e5c40f3, 0x25dbf10b, 0x7bf5ebd6, 0xef786828, 0xf1bbe7a5, 0x8cf33e80,
+    0x01706bca, 0x123297ca, 0x9fd7a142, 0x19929077, 0x78fcd183, 0x659675bf, 0xcc630f6d, 0x459a1115,
+    0xbdb8e4e6, 0xe2712a48, 0x6d130c8e, 0x1105ff54, 0xf6847420, 0x14b41925, 0x13cf0e15, 0xe54074dd,
+    0xff4e607b, 0xb4ce258e, 0xede16dcc, 0xf4c77291, 0xc97335ca, 0xb937596a, 0xadd1bd72, 0xec4b9719,
+    0xc4c2eab2, 0x369212e7, 0xf9d2a895, 0x2627e574, 0xf765ae24, 0xc0f7e2a8, 0x805f562d, 0x3b482915,
+    0xed844f76, 0x9305780b, 0xa4e6e07f, 0xb79a4b73, 0x40f88c0b, 0xb3ec3a6a, 0x5fbb31eb, 0x0e1fd557,
+    0x478278bf, 0x1b591231, 0x150d117c, 0xf0743a85, 0x3b5093a0, 0x79b303f9, 0xe5f26bef, 0xfa9a8080,
+    0xc0879e7b, 0x33cfe742, 0x0b62ae87, 0x7f1eb733, 0x57430627, 0xba7ce236, 0x9dfc12b9, 0x3101064b,
+    0xfc7e89b6, 0x1efd4645, 0x63544cf6, 0x4d5da487, 0x31b65c5b, 0x7fed9a94, 0x2236e475, 0xdcbab62b,
+    0x9bc88220, 0xfc64847b, 0xbf17ed99, 0x637d3746, 0xea600074, 0x06adb2fa, 0x2abd433d, 0x391289d3,
+    0x5c545155, 0x0e6ad98a, 0xc0fbfa42, 0x4f22a615, 0x9c88dea8, 0xacad03a5, 0xeeccc7a5, 0xe6ecb425,
+    0xa56a890b, 0x40a9692b, 0x335a47ae, 0xdbf95856, 0x45af507f, 0x66b7b1ee, 0x26309978, 0x67722e07,
+    0xedd3cf94, 0xa1d782bd, 0xa00d0761, 0x94fe7dbc, 0x052bf2eb, 0xb69bc998, 0x46c42644, 0x4d6d0af1,
+    0x3cef35c7, 0x976e2e39, 0x59cd25b2, 0x6d5252f6, 0x919f04e5, 0x94d30a7f, 0xd64b5eae, 0x621476d6,
+    0x7d238f1d, 0xa150df1d, 0x45dd78f8, 0x7f0ae3b3, 0xffbae00d, 0x526a9a9c, 0x791656b3, 0x2cfb1e5c,
+    0x4075323a, 0xe07185ab, 0x5cfa6d19, 0x123b0efd, 0x5bb30ced, 0x77a670d7, 0x0f3e209f, 0xcb673c58,
+    0xf3a95a7b, 0x9f7efe7c, 0x2caa5738, 0xb59e7980, 0x61a1ab67, 0x711c4d53, 0xeb46e3d8, 0x4c4e8aad,
+    0xc81f0542, 0x540b7bc7, 0x4239a031, 0x115f3fae, 0x46566ba7, 0xdaf12380, 0x18e1692d, 0xbd75077e,
+    0xbcbfc00c, 0x22a51a0e, 0xff981193, 0x0d6df1ec, 0x3a050db5, 0xac3b2d8a, 0x1225799d, 0xf094faff,
+    0xffb72a3f, 0x4cd9a961, 0x5c811559, 0xd5e6b0e7, 0xab4b8262, 0x5f90c7ff, 0x4af298c5, 0x3b38fcb9,
+    0xa9fbcb8c, 0x57f55825, 0x8a0966aa, 0xc967fa02, 0x17f12223, 0xdb65c2be, 0x0ab38e6a, 0xe9bd6858,
+    0x563e8ee0, 0xb3e8e1e2, 0x0d81ea8a, 0x05315e58, 0x6186e55f, 0x67e2a631, 0xbaa06165, 0xf773f058,
+    0xac49c462, 0x3fdbfb69, 0x0d0b5513, 0x302e984f, 0x7b1dd38b, 0xdc782829, 0x231bc91d, 0xe9760b8b,
+    0x9036012a, 0xd3c66dee, 0x62efe4d5, 0x2dd4272f, 0x3d1faeaf, 0x5759bb51, 0x90eb440c, 0x5789bb70,
+    0x4e8666cc, 0xae97378a, 0x05902bc0, 0xe8631c0e, 0x4209a05e, 0x2c9e5747, 0x86bb3982, 0x3f69e591,
+    0xb8f80491, 0x90341358, 0x79c8505c, 0x10a6c240, 0xa99991df, 0xc0f26537, 0x1c0327f2, 0x410a7118,
+    0x1dfe17a4, 0xe10c2aaa, 0xcd3488a7, 0x887425e0, 0x36ca37b6, 0x47d55d4b, 0x83d3b852, 0xbf2abc56,
+    0xb12b4f9d, 0xe63d574e, 0x66d26bf0, 0xf8bbead3, 0xe2f24d70, 0x6845ba22, 0x3d74953a, 0x7ae73f2b,
+    0x666da5d9, 0xe8390791, 0xc47c3468, 0x7b286d23, 0x5906996f, 0xa0fa9890, 0x807a73a2, 0xbcf5ad8e,
+    0x76b77458, 0xcb44df67, 0xb28ccf39, 0xc3e9dd19, 0x02743041, 0xb794e7eb, 0xffcd3ecd, 0xe4326c79,
+    0x42367812, 0x0272b986, 0x228fa707, 0xa08a6c9c, 0x04b7c8aa, 0x88977c8f, 0x47a55a01, 0x606de578,
+    0xb84d778b, 0x17940d91, 0xc5f246b3, 0xc875a56f, 0x3b40394c, 0x60342d5e, 0xe8e89a0c, 0x795b225c,
+    0xdb43853d, 0xd7436fd7, 0x8fbcbb39, 0x2012f977, 0xfd135ce6, 0xaeeef5c6, 0x4224706d, 0xf9d328ea,
+    0xf986b1ba, 0xec3ba113, 0xce99998e, 0x8bd40627, 0x5885e29d, 0xc9f9cd52, 0xcf306d83, 0x617412ce,
+    0x3949123e, 0x3fdb5ef9, 0xe5c93209, 0xad5c2b7b, 0x14173089, 0x902c8b1e, 0xd4a48bc0, 0x78f01036,
+    0x87349baf, 0xdcf7d30b, 0xc2176a1e, 0x38bfa415, 0x27fc5cd0, 0xa91b4980, 0xff47a1a1, 0x5eb6fa42,
+    0x476018bc, 0xf4660177, 0xe4a330eb, 0xbf924a72, 0x300f4b87, 0x250ea851, 0x9c9f1543, 0x8dbf4527,
+    0xe9a35f76, 0x444f3f44, 0x9242f703, 0xff6322a8, 0xa4503db0, 0x1361ee91, 0x0bade241, 0x1bd55cbf,
+    0x00a83fad, 0x8dee2da9, 0x71780d19, 0xc4ef3ffa, 0x847ff87c, 0x93bcf23b, 0xf9951a80, 0x409193e5,
+    0x1b789407, 0x5fbbd273, 0xfd1d341e, 0xfdc21d97, 0x75434b57, 0x831dbbdf, 0x3585e9ad, 0x0af7fda8,
+    0x0656922e, 0xa6bd8334, 0xb801ac8d, 0x11807617, 0xbd98fb70, 0x9120b92b, 0x9bc9f921, 0xdda96965,
+    0xa1b5466e, 0x72125a9d, 0x94ff011c, 0x3a43e73c, 0x486b0f3c, 0x5ef9457d, 0x7f0c8040, 0xa37880b8,
+    0xc498be31, 0x6fb1f8bb, 0x43fa55f1, 0x520c975e, 0xd93cd46f, 0x936b071c, 0x041fe0a1, 0x1577feb6,
+    0x387db49f, 0xceaff090, 0xf4e77207, 0xcc381338, 0x69d2d027, 0x7da68175, 0x399dae72, 0xfd6a4d9a,
+    0x030048db, 0xefc06711, 0xeb0a9d28, 0xd29f9378, 0x35a8b2ea, 0x3203ec4e, 0x1ba3007e, 0x709bdbae,
+    0x164a92e8, 0x2e034f71, 0x7527496a, 0x4538f2d9, 0x799d83e5, 0xb564083e, 0xa7ff4f95, 0xe05345de,
+    0x1f293ef9, 0xf425f15b, 0x924219f2, 0x439796fd, 0x5557ac2c, 0xf061d3db, 0x9f6cf128, 0xcd3b44a4,
+    0x6672d91a, 0x3593ed1e, 0x7bce3d25, 0x32ce14a4, 0x0c831809, 0x0180b8ac, 0x7b9598d6, 0x5b822865,
+    0x3606a4b5, 0x28f26017, 0x0c592d63, 0x59ac4117, 0x24f5797c, 0xbe4f180e, 0xbb9e9aca, 0x573b8731,
+    0x5ad75729, 0x07bef925, 0x1959dee6, 0xd57ef70b, 0x3718f083, 0x9cb8519f, 0xbc9801f8, 0xfaebdb89,
+    0x8e4b817b, 0x733369d6, 0x90bb6e04, 0xf22511f9, 0xe6534197, 0x5def2423, 0x01fc2f30, 0x729354b7,
+    0x17eebcb4, 0x7c831d78, 0xa24d7ad2, 0x65374bd6, 0xc257c83e, 0x3b83c946, 0x4cd27965, 0x1f043769,
+    0x1cbd16a1, 0xe52c7175, 0xd3e978eb, 0x4b3de402, 0x266333c7, 0x1726c1ee, 0x075c0928, 0xcb658cce,
+    0xb4365e63, 0x006ca06f, 0x6657621f, 0xa76a0df0, 0xbe1f114c, 0x9b7f5dc0, 0x8d04a26b, 0x750a56c0,
+    0xe781cd42, 0x91665174, 0xc733c059, 0xc689b844, 0x93af8347, 0xe0f762cb, 0xeaaee033, 0x9970fa89,
+    0x6364841d, 0x74ca05da, 0xd15eeaa5, 0x6a26a4c4, 0x6dda0400, 0x7159e6a0, 0x5b911ac1, 0x9641fef4,
+    0x1e64381b, 0x2db3d17d, 0x23b658db, 0x78661962, 0x7957603f, 0x99465864, 0x6c73e791, 0x93a0e483,
+    0x3259e1fa, 0x30f30359, 0xcd61b62d, 0x41909f28, 0x0f452e8e, 0xbea289ce, 0x15ef8385, 0x793963cc,
+    0x544a815f, 0x1f60a842, 0x091ffc63, 0x21bf553a, 0x0df14e68, 0xd184f9ab, 0x06c1605a, 0x2a751a91,
+    0xd9d071e5, 0x49fd4a20, 0x3caeb5fb, 0x30eb2e92, 0xb0ee3977, 0xcf4d4b75, 0x26fec308, 0x9bac9624,
+    0xbb48fdd3, 0x34b44251, 0xe115aa06, 0x5ca84530, 0xe96ddcd3, 0x8153a960, 0x2af3b1ea, 0x25b74963,
+    0x09d16512, 0x3c01a262, 0x1cfab2c2, 0xc98f3c08, 0x1a76aba0, 0x96f7c40f, 0xbd7cfd2a, 0xbf6198e0,
+    0xd14767b0, 0x1296b515, 0xc87369dc, 0x476a7ccc, 0x648f57d7, 0x0179e8f8, 0xc62dd420, 0xa13532cb,
+    0x82c1ac65, 0x8a9b63fc, 0x1e3e1e7d, 0xc383e3d4, 0xb25a5025, 0x2e43fd4e, 0xcccab6a2, 0x0d253303,
+    0x2fe90188, 0x98616460, 0xa0f75487, 0xc84ac4a5, 0x4a5ad321, 0x5aad3f04, 0xbc42b512, 0xea975456,
+    0xd03b5e17, 0xdeff82cf, 0xfce7cb22, 0x0cf0aa83, 0x1719f070, 0xdc741664, 0xa47bc340, 0xc7b31006,
+    0xfdeeb17d, 0x74a73d31, 0xfee6f72e, 0x327a707a, 0x9db7df74, 0xa54ec999, 0x0ac88d4d, 0x03a2eeac,
+    0x79131278, 0x0f58aade, 0x5be9e540, 0xef7095f5, 0x355b6ef8, 0xc459d207, 0x63713767, 0x2fa78024,
+    0x5fc10569, 0x83165679, 0xc67ea56d, 0x8c97e372, 0xe55a6850, 0x6245ea4d, 0xfc3cd485, 0x4ad9292a,
+    0x1d5d7eb0, 0x81253b9f, 0x5179dc53, 0x3d35b166, 0xf20edfce, 0x2f857498, 0xcda8fda3, 0xcea7f909,
+    0xbf6e8cff, 0x065e09b6, 0x6d8dd8d0, 0x426d5c59, 0x54992bfa, 0x07bc70d2, 0x52f17cb3, 0xc5b8c44b,
+    0x31fc2bfb, 0x56414458, 0xababed9c, 0xa4946b0a, 0x738f3678, 0xfd81713f, 0x701bf5ca, 0x51efcb37,
+    0x70337b04, 0xb56053b3, 0x556774ef, 0x8e822660, 0x9a352b07, 0x85e8d106, 0x384cb684, 0x0b55ab82,
+    0xa4a93e12, 0xc1c466cd, 0x552a3cb8, 0x9b8eb715, 0xaa07ecb9, 0x083e0c3d, 0x8a8e9a3c, 0x7311e804,
+    0x5f5ea2fc, 0x5de836da, 0x85c63109, 0x557c2a5b, 0x7e85547d, 0xe237c707, 0xce9ff30c, 0xa5d7018f,
+    0xf2e91b57, 0x74022b73, 0x5da0a06b, 0xd5a6afd2, 0x5047b881, 0x0e35ba1a, 0x9df731c1, 0xac0f4fe4,
+    0x67f98497, 0x8a42e899, 0x2e6f228b, 0xbc8a2f65, 0x6fa9aa84, 0x1b18ac59, 0x880bcf53, 0x04a7d104,
+    0x8a93168c, 0xd635cc00, 0xacedf568, 0x93ce0c0e, 0x4a28e0c4, 0xf4a95a05, 0x5f4bb326, 0xa7729645,
+    0xc1534320, 0x5d744cfa, 0xdb29eee6, 0x0d39f5a9, 0x633f760f, 0xd551fb83, 0xaca0d05f, 0x8ea25e37,
+    0x4843da0c, 0xba435bf8, 0x32673fec, 0x80bceb76, 0xfc74a88f, 0xba1f12c6, 0x64d5c371, 0xb351636c,
+    0x1b7167be, 0x81f0a209, 0x009846f7, 0xfad24497, 0x324ccf28, 0xad33ebe9, 0x72e2a04b, 0x0fe53db7,
+    0x635d95c9, 0x4ec6b1dc, 0x1c61e867, 0x716ada75, 0x05f38c58, 0xf1bbecbf, 0xb494d569, 0x55660323,
+    0x45521bdf, 0x5172aae7, 0xc47ba3c4, 0x8df960a0, 0x0062b1ec, 0x14b67466, 0xf2ca729d, 0x9687c29c,
+    0x97a4564f, 0x950fe8ac, 0xba124eca, 0x0b6b684f, 0x4b7af869, 0x038fd4c4, 0x279c79c8, 0xc642c7ea,
+    0xdb009587, 0x8cbb0223, 0xbaf08a1e, 0x3c5290b7, 0x6566fed8, 0xfc9ffdbd, 0x5322825a, 0xf077584f,
+    0x371c528d, 0xa6c92c33, 0xb3726ed0, 0xc5be8bd4, 0x0a87b814, 0xae3d43df, 0x74a0e1c2, 0xa197b8a3,
+    0x5e12c66b, 0x5adcb009, 0xcafce60d, 0x38847c15, 0x4e3d712b, 0x5f8d111d, 0xff36b491, 0x7b411796,
+    0x1ec34cf6, 0x420212d6, 0x1738f552, 0x2a89614c, 0xb77efae5, 0x9e5bb615, 0x3a40e0f4, 0x3226039e,
+    0x896f7b73, 0x0172488f, 0x22de3199, 0xde207ca5, 0x021bdfcb, 0x7791cab5, 0xa2ff85cd, 0xc67d4f16,
+    0x5a97496f, 0xbc1cb2b1, 0x4963b31e, 0x9cafbe8f, 0xde5d1313, 0x8f9e4436, 0x17393f6b, 0xee8eb923,
+    0x89350550, 0x8178bd55, 0xfe4bcaa6, 0x6bc7966b, 0x1283087b, 0x35649905, 0x54e3415c, 0xb4e073dd,
+    0x1fb06dcb, 0xe5066b63, 0x74993057, 0x178d8df5, 0x6466d698, 0x03c8da04, 0x6ff7170d, 0xacfe006e,
+    0xc6db291f, 0x310e106c, 0x2be96b16, 0xdb0176ed, 0xe0e86848, 0x63d62d0e, 0x1c8f931b, 0x8cf3b268,
+    0xaa67994e, 0x5ff86b85, 0x111c3760, 0xa35ae05a, 0x88bbe14d, 0x14e47389, 0x34b47c98, 0xa9d4f4a7,
+    0xc5477566, 0x3fe76c4b, 0x802429c8, 0x05b5eb9c, 0xd224d4e1, 0xbfa43c81, 0x771f1760, 0x7d5f440a,
+    0x7ee2564e, 0x8568b263, 0x56346536, 0xf020095f, 0xa4c9b007, 0xa93728a2, 0xcd796346, 0x2a01d0a5,
+    0x3458f7a8, 0x21c5f847, 0x8f66d83e, 0x6b28683c, 0xb789900c, 0xc7248a74, 0x0bc2f803, 0x5b5bf087,
+    0x86dadd41, 0x08c50b87, 0xf3e421e3, 0x2ef0de28, 0x86097bbe, 0x6db1c6d9, 0xfe723023, 0xd22b27f7,
+    0x00000000,
+    0xe4262957, 0x9349d500, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000784637716923335095479473677900958302012794430558004314112 */
+  { 0x00000000,
+    0x5a8fcb71, 0x4694b5db, 0xa942812d, 0xe70383ec, 0xf0aecada, 0xd38b9b8d, 0x1b86b338, 0x296aeebd,
+    0x96afc51d, 0xd12a1051, 0x3e9bee8f, 0xf5f6de04, 0x3327d076, 0x8fe175d2, 0x9e907c79, 0x5ab20907,
+    0xee2d37e8, 0x60ab5736, 0xe917f808, 0x1ff9f028, 0x7e06f4e6, 0x1e9fe9ca, 0x593c046a, 0x0930cf1f,
+    0x3a45dce4, 0x54d21a92, 0x7db9289d, 0x2e4f154b, 0xaef56e21, 0x5d1e7a85, 0x94d3c2d3, 0xc5b4f2b8,
+    0x6c72df4b, 0x39f413a5, 0xf89a6f52, 0x38ed24c8, 0x188c4a60, 0x6ff3614a, 0x7f178984, 0x0e7f81a0,
+    0x259067aa, 0xbd03890b, 0x5c6e28d9, 0xd98f5029, 0xbeab2845, 0x88f6c99d, 0x2cc2ae48, 0x81cb878a,
+    0xae0f8433, 0xd702ae7b, 0x0371ef40, 0x45edfff6, 0x96fd1eab, 0x772310c0, 0x048716b9, 0x96404826,
+    0xee819db4, 0xef9a4270, 0x3dc7d237, 0xa60b8c3e, 0x5263e708, 0x568f82bb, 0x095a3d6f, 0x68edbc8a,
+    0x1ff32056, 0x2f1c0cb2, 0x9ac598b0, 0xb3e775d6, 0x0f9a52ce, 0x24e48f94, 0x4c72c914, 0xc6843a95,
+    0x7c898ceb, 0x8ad630bd, 0x65a405e2, 0x2d4782b1, 0x9768fffd, 0x927e04ec, 0x1f9715d6, 0x3c84a2fe,
+    0x19b107c0, 0x89c9cf22, 0x33412427, 0x9ec05aaa, 0xbe6dbb03, 0xce500c7c, 0xe2aaff49, 0x42e69e52,
+    0x6bc0b12c, 0x71cd53e8, 0xfcdcf65a, 0xbe5d5617, 0x456cdbe3, 0x48f9463b, 0x8eb04f5a, 0xe41a7614,
+    0x2df88043, 0x53a00959, 0x5bd510b2, 0x15ac31ef, 0x22fcfe84, 0xbaeae9b1, 0xc5e14ed1, 0xd00dd385,
+    0x31ff8fc4, 0x81fd03eb, 0x422c154b, 0xa9fd4ffe, 0x349bf842, 0x3051777e, 0x0bb08ca8, 0x4efabaa9,
+    0x48f40aa2, 0x7a5f57c3, 0x0628ff6a, 0x0ec844f4, 0x2a81295e, 0x4f42c473, 0xd9909c07, 0x2fad39be,
+    0xa095699a, 0x557a4161, 0x3ee34524, 0xc758fca2, 0xcff34c37, 0x0fc97c00, 0x09bff702, 0x0947f9cb,
+    0xe3fe6126, 0x46c9f77c, 0xac5cdb79, 0x944aec89, 0x19518bca, 0xe685578a, 0x8fbbe505, 0xa3282e55,
+    0x2e31bc5b, 0x2bf9dc1e, 0xe7fe25f3, 0x75d46cec, 0xcba9c127, 0x95893134, 0x9d7fae72, 0x476a3d7c,
+    0x25877f54, 0x3e712209, 0xb456a0b5, 0x43ef14a9, 0x3573a765, 0xf80ae874, 0x806498fe, 0xd8fdca57,
+    0xcf666c4d, 0x94af8541, 0xec34e480, 0x12738a6b, 0xd9acfff1, 0x8f80cda6, 0xa348b26c, 0x5a2ab7f6,
+    0x4818b2c3, 0xa86263ab, 0x881aaad7, 0x720f46d8, 0x14e572fb, 0xb081b0a4, 0x5f1de552, 0x13180764,
+    0x833ca178, 0xcd327be2, 0xd1029321, 0x55f9d2a5, 0xa076268e, 0x210b2630, 0x3261d931, 0xa82c17c8,
+    0x2284c978, 0xa554bb19, 0xe4c40b5b, 0x8e8e0ce2, 0xdbfc9b1f, 0x3c7f12d8, 0xbc54226c, 0x973e5215,
+    0x0703a565, 0x977f7e01, 0xa400fa13, 0xba3cacb7, 0x71f9747d, 0x5709664a, 0x93da0a3d, 0xbb689cf4,
+    0x2717ee67, 0x4da7f133, 0x9b23bf6a, 0xc5978a4a, 0x8cc641aa, 0x30d2a8a4, 0x6538627a, 0x2f76a5e1,
+    0x3e99adf0, 0xd240df9e, 0x71efd1d2, 0x25a84f52, 0xb4c87a87, 0x2d8bcba8, 0xcb68e742, 0x132c9b70,
+    0xe2ddfe5e, 0x3b5d7ea4, 0x13910143, 0x4c383d00, 0x00d4f051, 0xe8321944, 0x5dbb45b5, 0xd023114b,
+    0x775df5fc, 0xbdb5925e, 0x1a6098e8, 0xe014483b, 0xcfa51c49, 0x6ac63f3c, 0x9877544d, 0xb1424e73,
+    0x61fe78f2, 0xc5b9f397, 0xa58d6a63, 0xf1b5c88a, 0x9bf2cae4, 0x6272e6b3, 0xf58923d6, 0x77dc9c33,
+    0x06fc92bf, 0x5b905197, 0xac635e4f, 0x87ec145e, 0x0d3fc549, 0x89c0eab2, 0xe72ff36b, 0x8d1d0d80,
+    0x41608ab9, 0xe65f76a4, 0x346223d1, 0x5557049d, 0xd34174fa, 0xe313d880, 0x8e9ae653, 0xff8321cd,
+    0x87ccb72e, 0x5f5c53db, 0x2c04fbaa, 0x8d0af6c4, 0x9fca4b66, 0xbe509c00, 0x1fbfa1a2, 0xa82cde59,
+    0x7f58c06f, 0x6e9b36d3, 0xdf0f5575, 0xebac8a61, 0x1ec87409, 0xf6b3c3a3, 0xbf294b26, 0x29d4dc8f,
+    0x84d9b325, 0xf969a1cb, 0x4d35e22a, 0xa10ef399, 0x6aed0df1, 0xc5167d86, 0x80ac1373, 0x3f9387af,
+    0x0b41c609, 0x3606ce18, 0x7da09d99, 0x1cd6538e, 0xd28fa22c, 0x8a7b4a7a, 0x9efe095c, 0x860937f7,
+    0xed21d4a3, 0xa037ceb7, 0x860cf649, 0x1fd009a0, 0x9523e642, 0x8c808dfd, 0x797df740, 0x288c5e0e,
+    0x7eade41d, 0x2a0f7199, 0x0042e0dc, 0x7cc30d1f, 0x54056e8e, 0x3f7b5757, 0x0f4a6885, 0xa4f5f681,
+    0x180741aa, 0x8e225b1b, 0xe5558d91, 0xb15b26e0, 0x310b7390, 0xe84bf90b, 0x0d423c8e, 0xb5a2f2ba,
+    0x6cc52e39, 0xcb05fe3a, 0x1fda47d1, 0x10e6f2fa, 0xafb7ba01, 0x0b4a09a6, 0xbce63783, 0x2c70a0b7,
+    0x621a98c7, 0x760b6b07, 0x84b1c4ef, 0x2f5ae6df, 0xf43bfcbb, 0xe887484d, 0x8d53b65c, 0x158d50f3,
+    0xf5256495, 0x8fa3a4f9, 0x8de8e7b7, 0xfbd247b8, 0xeef66305, 0x469735bf, 0xd534649b, 0x8d04c8fb,
+    0xe35b9676, 0x442f94a6, 0x94626a33, 0xbd0e8949, 0x97d2540e, 0xd216e05c, 0x557064cb, 0xb01b223d,
+    0x8a38d582, 0x33a72eb8, 0x09146947, 0x14d77ba0, 0xd57224ca, 0xdac645e5, 0x3582fa0b, 0xf0ba03f9,
+    0x1c50dcb0, 0xe67aa7cb, 0x9d8e1dbe, 0x50f91f10, 0x06c91f0d, 0xed348a91, 0x88b343ff, 0x97889936,
+    0x966c1519, 0xd2b175ce, 0x2b57d28b, 0x524b96ce, 0x44b86e5c, 0x1600fc7c, 0x2526aa32, 0xe3bcd713,
+    0x01d30a19, 0x322a247e, 0x3f0024a6, 0xb476873b, 0x951a6f9e, 0x56e36658, 0xc0b0e8a3, 0xfda46187,
+    0x27692e49, 0x79a76eec, 0x4c6e0186, 0xf16b420c, 0xe43f52de, 0x7a9ae3ae, 0xd9109208, 0xdd5080ae,
+    0x3cdea2c4, 0xac9afbc8, 0xda42b440, 0x5849b2cd, 0x93db05b0, 0x631e5443, 0x3cf1106e, 0x5d834374,
+    0x5ed27552, 0x2b077305, 0xec1dc523, 0x57027ce1, 0xc96a6fef, 0x3d92ffc2, 0x1a5ba41f, 0x86cc4b6d,
+    0x759a7170, 0x6641b6f6, 0x17cccf74, 0x964d9f26, 0xbed794b9, 0x30cbef0f, 0xdde928b0, 0x1ad8edc9,
+    0x94b8cb59, 0x5f58efee, 0xb8064181, 0x4734c5ea, 0x465fb7f1, 0x771c117b, 0xc6cdc7e1, 0x60e038ca,
+    0xb117afeb, 0xc5c83871, 0x6bea50bc, 0x2b4245e2, 0xcf443c3e, 0x992a801a, 0xacf3f657, 0x5df0e2f9,
+    0x41e58f32, 0xa9d68076, 0x56bad774, 0xe1dfe6b9, 0x073b1ecb, 0xa05c80e8, 0xf50122c6, 0x2801d80e,
+    0xdc5539fa, 0xfae783f3, 0x70760010, 0x2b82a571, 0x2bcb791d, 0xc8798461, 0xf138cbdd, 0x7741dab2,
+    0x80570fa1, 0x79cec148, 0xee52453c, 0x8546e357, 0x44cd9815, 0xcf86d075, 0x991d087d, 0xc4c616dc,
+    0xd9552e4d, 0x91799667, 0xadcc7a33, 0xd4fac796, 0x9d9442e1, 0x3e894fc9, 0xa390df3f, 0xbf43ec9e,
+    0x766ef9bb, 0xbba7c93c, 0xa45b483c, 0x66953fbe, 0x61882fe3, 0xcab4c939, 0x29a75ee1, 0xd07f3a2e,
+    0x3d7592d4, 0xc09c96f0, 0xe3f7f9ce, 0xe226931b, 0x3d3ba2fd, 0xab8e3614, 0x132bcd6b, 0xd29d7ed3,
+    0x64c1ef03, 0x319e3499, 0x0fb6698a, 0xa95b733f, 0xf2c05cb6, 0xfc2437fe, 0xe925278e, 0x73105e88,
+    0x19a42944, 0x7761de87, 0x5032a62e, 0xccac5319, 0x7b99bb37, 0x6ebdcc72, 0xd60950e8, 0x55e7b0be,
+    0x4a68dd13, 0x0e2c6257, 0xde651b1e, 0x0e4f2257, 0xee448934, 0x64b4c3bd, 0xea930daa, 0xfae71afe,
+    0x34f61480, 0x532e2b3e, 0x990a1484, 0x08e26988, 0x15866459, 0xcb615c68, 0x8cedae4e, 0xe727e629,
+    0x8435e36b, 0x236797eb, 0xe8091e58, 0x0b558918, 0x5a9cbe11, 0x2a92f756, 0x7cc76034, 0xb33abb40,
+    0x425e60b6, 0x04b99f85, 0x6d47e090, 0x4e44e37d, 0x35893f5a, 0x07774f6d, 0x8de99755, 0xd95457d9,
+    0x1afb3ca1, 0x340e12f4, 0xee18ee59, 0x9fc4826e, 0x194654bf, 0x6d976a8f, 0x161bf641, 0x82b28cdb,
+    0xb36891fb, 0xaa950b8b, 0x3be2f87e, 0xf9b41b2c, 0xa6acff17, 0xefdf79dc, 0x919cd3bd, 0xa14cf910,
+    0xcda6d356, 0x2e5e4784, 0x758eb29b, 0x08853479, 0xf0423364, 0xa95f0d75, 0xc120ac6f, 0xe77f944d,
+    0x624dfef2, 0x93336a15, 0x4be8664c, 0x93700fa2, 0x7ff155fe, 0x430fc728, 0x314ec322, 0x946dba0b,
+    0x9f251ea7, 0xe54975e9, 0xe97348b0, 0x494752f5, 0x5c95c806, 0xbdd7a39b, 0x0d4d39da, 0x005df037,
+    0x67da88b0, 0xa80a6380, 0x1e1c5e69, 0x57993b2f, 0xf22ff795, 0xaa374636, 0xa5a80207, 0xbef5099e,
+    0x8cee81db, 0xf1fc9936, 0x6007544c, 0x0b8e9775, 0xd95a5501, 0x8f244e72, 0x527701dc, 0xc40e71a0,
+    0x960538d2, 0x5540b617, 0xe4d17e60, 0x284b3269, 0x292ba9a9, 0xd4318a98, 0xaca599ae, 0x624d467d,
+    0x9978bb59, 0xf0a22779, 0x484ceb34, 0xbefefaf4, 0x6b5911c6, 0xa3b976c4, 0xe8eb51fb, 0xb6148492,
+    0x3b88bb2c, 0xb7080815, 0xf5f228d8, 0x2c22cae4, 0x18d2145f, 0xd9115284, 0x0231c13f, 0x4882d2ed,
+    0x69957fba, 0xcf80d4e4, 0x67338cd3, 0x4661f722, 0x008a2bb4, 0x75980adb, 0x345e685a, 0x40bab9a3,
+    0xa5445f62, 0xae074715, 0x80277bc1, 0x527f1bec, 0x6f424196, 0x883b9b57, 0xacac41bb, 0x6672dfbe,
+    0xcdabc433, 0x67b4581c, 0x81172452, 0x265eb8b6, 0xdb307a4a, 0x75773ac3, 0x96ab0c4e, 0xa06901c9,
+    0xf5906526, 0x4003ab64, 0xe8404b2e, 0x74f6593c, 0x8a876832, 0x9883df34, 0x1cba1425, 0xe88b9b65,
+    0x88f12c67, 0xfa294012, 0x77ab4e7c, 0xdb1379ac, 0xf0ecf674, 0xacd90beb, 0x3cba57c6, 0xe21e6320,
+    0x1643a2d2, 0x90bbb858, 0xbc7727a5, 0x52f84b2e, 0x87c6ce18, 0x9f93660d, 0x286f5f1a, 0xe84378b3,
+    0xadc0977c, 0x94e56782, 0x07f9c6bb, 0x704fdd9c, 0x8d88996f, 0x10399d66, 0x84667ef3, 0xefb19d7f,
+    0xe423efa4, 0x1921fce0, 0xc9211fe8, 0x7c8cb7a0, 0x05bd819e, 0x955d6b03, 0xe5fc590e, 0x01a7e7fb,
+    0x70e72de6, 0x911f4c7c, 0x2766f918, 0x7eb91dd6, 0x736bb7f7, 0x84f359e5, 0xda9d6e59, 0x2207a580,
+    0xdf5c19bf, 0xcf67c5ec, 0xae1a1d92, 0xee15aba2, 0xd2d65b9d, 0x3ef201d0, 0x98eb38ba, 0x5c7ef78b,
+    0xc7b6bdbb, 0x5dc2dac6, 0x25b7dcef, 0xaac4dd68, 0x6c379b2f, 0x6eb3c352, 0x7ed392fa, 0xd74faf02,
+    0xfe5ec9a4, 0x6630b5eb, 0xd60e733d, 0xb7695c02, 0x05e9b727, 0x492f079d, 0x0e167d02, 0x7c2167cd,
+    0x94a4a611, 0x1d7ab2ba, 0x7ce01e12, 0x4598b9e4, 0x0d7259d0, 0x4a600396, 0x35b09688, 0x6666d9f7,
+    0xa101835b, 0x63ac4319, 0x7358a0af, 0xe5721456, 0x11074434, 0x8baa9ade, 0x173dd186, 0x670f99a5,
+    0x54e5d2bf, 0x98681cb9, 0xcc3ff184, 0x1ba50d9d, 0x4e043fec, 0x87e3738e, 0x5855239e, 0xddbccf78,
+    0x407f8b38, 0xb6601aff, 0x9003b695, 0x2b44ce84, 0x2267c1b8, 0x6252cf5f, 0xc565bcbd, 0xf232a90b,
+    0x11f5a392, 0xa524ae33, 0x5f2471d3, 0x0093ca58, 0xcbc0690d, 0xdcebe299, 0x32ed2441, 0x26185c65,
+    0xdbd724a9, 0x06d63265, 0x5a8e6e3f, 0x5efc14e0, 0xca722709, 0x4f051862, 0x65e11522, 0x3e01ce24,
+    0x656263d5, 0xc91e19b2, 0x33e982bb, 0x2e224d03, 0x275012e9, 0x1eb24102, 0x4cfde3d8, 0xad4a6c11,
+    0xe13e4082, 0xc07f55c7, 0xd2309a08, 0xd0343f75, 0xd3642f52, 0x641c311b, 0xbf720ded, 0x3c8cb509,
+    0x4bb30b63, 0xc0e55e91, 0x91546451, 0xb6e4a1ce, 0xcc428b49, 0xd98edbf2, 0xf84d353c, 0xab5ce0ea,
+    0xe301715a, 0xca6e1303, 0xa9249b5b, 0xf6d2682d, 0xef65fecc, 0x525dc38c, 0xd7177f25, 0x56d9f139,
+    0x21715f9d, 0x10b556d2, 0xb8d91f29, 0x9880af2c, 0x7ccbc3ae, 0xb1d2064f, 0x661c818e, 0x46410008,
+    0x35573107, 0xebe72cd8, 0x2289131d, 0x70c5067d, 0x0fdc1d36, 0x50231455, 0x7f860cf3, 0xdd5d12a2,
+    0xd94d0e6d, 0xdb0425e0, 0x6b89cf2b, 0xf030ef3d, 0x95ced45f, 0x4157d62a, 0x420236a6, 0x2c74f770,
+    0x0b69bb23, 0xc945cf5e, 0x19a12be2, 0x1b1716f4, 0xaff1855a, 0x338f82ed, 0x1b4e3c9a, 0x0664ea2c,
+    0x369ad89c, 0xf7d346ca, 0x181131a6, 0x2c97f29d, 0xa9834a92, 0x644f7d90, 0xc2668147, 0xdd55149c,
+    0x01a2d7ae, 0x5655ea60, 0x58e33759, 0xfda4890b, 0x29a7792c, 0x48fcfd68, 0x8dd658cd, 0xd40e9172,
+    0x57ce427f, 0x71fb952e, 0xc4f7fced, 0x450c4566, 0xf6f96cda, 0x21b47045, 0x875c0ab6, 0xb6cd2eed,
+    0xd55c3303, 0xfddee174, 0x6f6227de, 0xa4633238, 0x9b714ea5, 0xd8d708cf, 0x263f77d0, 0x7611af11,
+    0x81d24720, 0x872bd4ce, 0x32b5b927, 0x2c17a9f0, 0x67599a02, 0x357e0c00, 0x94e633da, 0x94fdc8f8,
+    0x57c3a13d, 0x96301cf1, 0xead9ec0d, 0x8ff1831f, 0x4f0ccdd3, 0xbb17b751, 0x22f6eb74, 0x8d1f7626,
+    0xfcb5ff28, 0x9e26c850, 0x8e74bda7, 0xf774f4b0, 0xf2e3ae5c, 0x4c1a040b, 0x4ef2e66d, 0xb108a3c3,
+    0xad3522dd, 0x7e0c6422, 0x6f591200, 0x420b33ef, 0xa46ec61f, 0x4ee17d79, 0x8a6b2bf9, 0xc6a68d53,
+    0x6fc0234c, 0x440e346c, 0x5fc9d4dd, 0xc38c00ff, 0x6a9e0261, 0x0a0b40c8, 0x8b4f68ab, 0x6971c6c9,
+    0xf0460e29, 0xd40504a3, 0xbabaac15, 0xa155ab2a, 0x1877b3d5, 0xa98a6ec7, 0xd737bde2, 0x0a0a38ab,
+    0xd174f145, 0x794c3bda, 0x42912ff5, 0xb200aeaf, 0xd4b58e5e, 0xff35404a, 0x90152082, 0x049e6fcd,
+    0x0c219982, 0x0a079906, 0x3feaeab9, 0x2d9e1c42, 0xa23f19c0, 0x1d1773d7, 0xba4eb13e, 0x41f774d3,
+    0xc903700e, 0x3550c0fd, 0xc93862b6, 0xdb35cf67, 0xd2a40625, 0x0ebd3b6e, 0xa8bac877, 0x3e64bda7,
+    0x58771597, 0x23068740, 0x8a6711c3, 0xab45f34c, 0xf9213f96, 0x5f3d285d, 0xb9db4727, 0xb6abf84e,
+    0xabe8a551, 0x9861cc2e, 0x5f15517c, 0x07e3439b, 0xaee55951, 0x132fab95, 0x2f645d55, 0x54d5fae7,
+    0xd57a5960, 0x2fcc3755, 0xf00711de, 0xb23c90d2, 0xb2ee0f85, 0xf6876df5, 0xf4fd8785, 0xf427eb39,
+    0x153c8a61, 0xd01cd6ad, 0x265c8f65, 0x3f3082a4, 0xc5ae39ba, 0x0ded8064, 0x5f91f93f, 0x5dbd1276,
+    0x852add25, 0x7d62dc97, 0x57e607c3, 0x9248eece, 0xdddbcaa7, 0xca048950, 0x2a905576, 0xfe3d71a0,
+    0x937ab6e7, 0xeae003d0, 0xe1ede5d9, 0x8778568b, 0x69c1d002, 0x4b6a9ccf, 0x7442bab1, 0x272afdea,
+    0xcdacca93, 0x62c9e797, 0x2cdc1713, 0xb1d9f304, 0x3d0e1471, 0x05eed8a9, 0xbf59916b, 0xa94ed099,
+    0x760ef703, 0x86e0b135, 0xc63b5ddd, 0x1943c940, 0xf2f13b1d, 0xb0a37b3f, 0xbb78b811, 0xb391e50b,
+    0xbcc24523, 0x40c6cf16, 0xbe238fa3, 0x6566c777, 0x710a2418, 0x2bd2538d, 0xb575c3c2, 0x742266cb,
+    0x0318d69d, 0x32c7c32d, 0x32e3fb3e, 0x4bc11587, 0xe6453211, 0x4e7b1f88, 0x95fb0d92, 0xa31952af,
+    0x6001bc43, 0x382262d8, 0x1a488c09, 0x13ece8e8, 0x6f8f2387, 0x4a018b18, 0x2b3c3885, 0x15ba045a,
+    0xd8ba456e, 0xd95db17c, 0xd6cde95d, 0x28d26e77, 0xc61b203b, 0x58e4190a, 0xf0e30e79, 0x7407df33,
+    0x365b40bc, 0x657a785c, 0x51bfe072, 0x6b4a27be, 0x6d07b653, 0x418be012, 0x73235930, 0xa4045a77,
+    0x00000000,
+    0x721314ab, 0xc9a4ea80, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000392318858461667547739736838950479151006397215279002157056 */
+  { 0x00000000,
+    0x9327681b, 0x95903013, 0xebb325ba, 0x6afc1a29, 0x0ba5cd3e, 0x1cc70681, 0x98e8ce27, 0x6c123173,
+    0x47df53a3, 0x2d94931a, 0x73d97614, 0xd0604ef7, 0x35a96d03, 0x4ffc440e, 0xca5b2f1b, 0xba5f0865,
+    0xfed1fc27, 0x68e21b16, 0x85b9d1d5, 0x0f43e250, 0x9bcc7674, 0xa523a436, 0xc7a19d9e, 0x67ebf478,
+    0xfa00a464, 0x887c68d9, 0xe51e3085, 0x644682ba, 0x548c16f6, 0xe19e9aef, 0x5d3bf2dc, 0x318839e1,
+    0x8baa9524, 0xf3ca94b9, 0x4e55c0cb, 0x8258a443, 0x65108d8c, 0xac2805e4, 0xdccfe6a7, 0xf2174e45,
+    0xa1fbf0ec, 0x6c4ccc1a, 0x872dd8c5, 0xcc759b5b, 0xb68fa318, 0x083ad693, 0xd9ffdbbb, 0xf1f22b37,
+    0x40e503f0, 0x149c28a1, 0xb59db930, 0xe1e7c569, 0x4c34396d, 0x363e71bc, 0x1dcd7f15, 0xc1fc0167,
+    0x952a78cf, 0x94ff9d8f, 0xedc3d02c, 0xb790fb1d, 0xfee4ba14, 0x96ce9b5a, 0xf1c67652, 0x8642b6b2,
+    0xacb3ad26, 0x445e0977, 0xd889c7d2, 0x214a6fbd, 0x9adc15e3, 0x27fc4f71, 0x1715db2d, 0xf12fe535,
+    0xf1969af7, 0x4eedaac9, 0xec25800f, 0xee768a36, 0x05201a29, 0x1982c1c4, 0x54dd1aa8, 0x4771089b,
+    0x0f8775be, 0xed767862, 0x7aeebd49, 0xfcf1b7a0, 0xe71ff982, 0xa251eec9, 0x015f9ac3, 0x38b24689,
+    0x5e61171f, 0x61b6d224, 0x35da228a, 0x1d84a2dd, 0xe680d05c, 0xd4786fff, 0xce01e7ba, 0x96737cac,
+    0x698ad7c0, 0xcbbe0929, 0x9e4667c0, 0x3869f139, 0x6bd579b0, 0xd2e7c03e, 0x21bb60a2, 0x71dc2d8a,
+    0xd2964a12, 0x8ba5d451, 0x11ec6b29, 0x0ca178d9, 0x9c7cf425, 0x22c1b82d, 0x0c689c3a, 0x7e88699b,
+    0x9a88cff9, 0x958f9931, 0x3d8bfdd1, 0x81e48228, 0x9f3a6e81, 0x1355e535, 0xce5afea1, 0x872f19b2,
+    0x504c6c47, 0x36f34306, 0xa91c4904, 0xa69146db, 0x517e48db, 0xfb848f6f, 0x2094c2f4, 0x8142be71,
+    0xd17b18a6, 0x2b0caba1, 0xc3e6bc3a, 0x50144aa8, 0x1f3616b5, 0x6bd75bb1, 0x780a0999, 0xb6c6d5c6,
+    0xf02995d3, 0x3728cecf, 0x715cd1f7, 0x54209ea9, 0x19e85505, 0x4bac93d2, 0x5e2e537b, 0x4748d30e,
+    0x3867071f, 0x95f95b17, 0x2d6d6dea, 0xfaff2044, 0xc41ac5f4, 0x06ab80de, 0x5a10b334, 0xd20a1b8e,
+    0x2ae7de47, 0x46aaf0a3, 0x8377f316, 0xc2d05175, 0x17040591, 0x309888d0, 0x56a94584, 0x1bf33742,
+    0xc55666be, 0xb45713b1, 0xbf958638, 0x38de0051, 0xcbee24ea, 0x7d9ab213, 0x593c0a39, 0x49006c8a,
+    0xb066d078, 0xaa5296b6, 0xad674b62, 0xa9c70a90, 0xf047ef0d, 0x43d95e01, 0xb431929e, 0xa99539f0,
+    0xcc3303cf, 0x37c0cead, 0xb8a4815a, 0x0da3e1e6, 0xaac6614b, 0x0995f793, 0x250976df, 0xa3ad04fa,
+    0xf7cdc38d, 0x4b021ea6, 0x9b2e11af, 0xd9eeec02, 0xd15addc5, 0xcec284f6, 0x21ed604f, 0x8c00ff4c,
+    0x4c65e604, 0xbe4e3dd2, 0x315debe4, 0xa14a6b7a, 0xbdcd7361, 0x07125b6e, 0x7803e4f2, 0xf5a1800b,
+    0x0f4f6bdd, 0xc108772c, 0xe750b6b5, 0x59927454, 0x003f2cd7, 0x0923b420, 0x8ae4a11a, 0xb31f27ad,
+    0x7b2ce7f7, 0xe4f0e790, 0xe17c29a3, 0xa44972b0, 0x11d9d994, 0x08c8a4a9, 0x18eded13, 0xcfac6368,
+    0x85ec20f1, 0xd18d384b, 0x77d06501, 0xeb32a8fc, 0xfba0ae6d, 0xf20e6f8b, 0x2cccf002, 0xf7b665a7,
+    0x60915178, 0x593f47ef, 0x8441906c, 0x272add37, 0x95d8d94a, 0x9410ab99, 0x7cad4620, 0xd96efed5,
+    0xdf5ee269, 0xc29a5938, 0x85046e4e, 0x5ff42541, 0x807747cf, 0x91277e75, 0x13956bba, 0xae7788d1,
+    0xa9493f7c, 0x5ed5b543, 0xb1e97a56, 0xd34f7c3c, 0x44e6bd2a, 0xb71e99db, 0x7987055c, 0xb104e6a2,
+    0x00888720, 0x98bb0240, 0xff7cf9f8, 0x3e75e9a4, 0x27a01958, 0xf9d3cf74, 0x0bae8e3a, 0x4a424a90,
+    0x15cf460a, 0x7414ab32, 0xa0fc15c4, 0xdc868458, 0x173bca16, 0x4d97ed4d, 0x0b383252, 0x3a3a2405,
+    0x8b5abdac, 0x1ef0eacb, 0xc7ebf183, 0x4d67ccb7, 0x95288cb1, 0x68bb9a2b, 0x66f1b082, 0xa3195df1,
+    0xaa58d70c, 0x70627859, 0xfb9b526b, 0xe39e8f1c, 0x988727c2, 0x9408199b, 0x9c5a6797, 0x4fa17717,
+    0xce4a546d, 0x5773f5c0, 0x2980d7f3, 0xdbe2ec50, 0x7659e003, 0x8f16600a, 0xeb416698, 0xa44d9ec0,
+    0x523f5b1d, 0x765ff438, 0xa03572ac, 0x0af85402, 0x1e48ddcc, 0x4b998db2, 0x1eee926b, 0x6d2f74b1,
+    0x884cfa9f, 0x0adfbf4d, 0xbcc45acb, 0x442a4ff0, 0xcd16041f, 0x7e268f2c, 0x65271a5c, 0xab6b5447,
+    0x6f496522, 0x6b26f91c, 0x8e576454, 0xe9514bca, 0xa1327a58, 0x33a65a99, 0xc0e47098, 0xc932b24f,
+    0x182d457f, 0x62fdcd96, 0xd95225c3, 0x78cf0c72, 0xc668af67, 0x71a88e76, 0x3dbd217d, 0x8102f5e5,
+    0x7f6c0fe8, 0xdb85c3c6, 0x9ad2302e, 0xc8f09d65, 0x8df54a98, 0x3c7f22ff, 0xacf9f45f, 0xd6ae7045,
+    0xdca0fefc, 0x4605cc44, 0x54cc6906, 0x1aa7bee7, 0xd842a111, 0x5fa1f454, 0xdc2dcf9b, 0x80931b4e,
+    0xd0254ef3, 0xfa156bb3, 0x802a06b5, 0xea372d87, 0x8af336e0, 0x49f3dfcc, 0xf91092a5, 0x20945625,
+    0x3e813117, 0xcad0ff50, 0x3b6b0a79, 0xdc288321, 0x69599f1f, 0x15be4173, 0x769f743b, 0x9fe01221,
+    0x40ce29b9, 0xbbb3b237, 0xe1d442cf, 0xdd765414, 0x416e2056, 0xac205bc2, 0x17c9e641, 0xafcbed01,
+    0x35fb6b8a, 0x4920763e, 0x1158838e, 0xfb9c8ce5, 0x814da7fc, 0x697c9b37, 0xed2527d2, 0x0cc6b465,
+    0x29a8d8df, 0x4cd5a554, 0xe99ef6b4, 0xbd0c71d8, 0x69a9d4e8, 0x20f66cf6, 0x030d9e41, 0xe8df164d,
+    0x66720245, 0x4b50db78, 0x9817104c, 0x84aa06d5, 0xd3a546dc, 0x5540462a, 0x5ee25201, 0xe7ff1206,
+    0x6d82226a, 0x170a8492, 0x19179db8, 0xa332e080, 0xc1731664, 0x6709a665, 0x46f266f7, 0xbca22329,
+    0x589b8683, 0xfef2978e, 0x3417fcaa, 0x01b3a5b3, 0x9e43862b, 0xb905875a, 0x611475b4, 0x016695af,
+    0xc7f12c96, 0x411bdb6f, 0xba34c7b0, 0xe15771f9, 0x1292739e, 0x2b53abb3, 0xe499a993, 0x6cde06a6,
+    0x1a8b5a57, 0x138d0d86, 0xc65e2cab, 0x7a73b4e2, 0x572566db, 0xbfa88de9, 0xb66027fb, 0x446f7fc9,
+    0x79fe338d, 0x9d36261e, 0x4a83746b, 0x4389c6b8, 0xdd3c0f84, 0x01723cd5, 0xf86316c8, 0x5030e39c,
+    0x75a361fd, 0xb055f635, 0x8e578f24, 0x70e28bfc, 0xf7740261, 0x5db37c2f, 0xd5f93516, 0x3046015b,
+    0x58d8a65a, 0x99e4cda1, 0xdf8b7949, 0x91bb3606, 0xc467d787, 0x65dbfd2b, 0x815543f8, 0xaa714137,
+    0xe8949498, 0x3c0ed875, 0x907d9f01, 0x87f7f140, 0x1c04c56e, 0xd7a0c0c2, 0x8048f448, 0xe87d4206,
+    0x9cdb038f, 0xad698cfc, 0x9d135fa2, 0xa8fa7270, 0xb9f3725a, 0x1a7bbeda, 0x20162a71, 0x02621be9,
+    0x20b23e03, 0xb785f276, 0xd88fd7bb, 0xa38f1fbf, 0x340917f1, 0xf3eb36ce, 0x7a53a8f9, 0xb517393f,
+    0xbd6ed2cc, 0x41650757, 0x42aa3bf5, 0xd8445467, 0x767acf27, 0xd58e987d, 0x66c27e6d, 0x138d3036,
+    0x0ddbce00, 0xa70c9638, 0x1c42a5d5, 0x5f0e220f, 0xa1ce93f1, 0x457c46d4, 0xf48cb6b6, 0xfe1e879a,
+    0x4399ef6e, 0x0958ddd9, 0xab78bfe5, 0x82f7899d, 0xcc9800fe, 0x5775e537, 0x39a9c33d, 0x258eafe5,
+    0xc84f8407, 0x9bcb602f, 0x3277398e, 0x7751c454, 0x86b5d0c4, 0xb235cdf7, 0x268c61bb, 0xe3e62712,
+    0x37a4e769, 0x3584f96d, 0xe556f901, 0x76020385, 0xdacf0135, 0x6bed40dc, 0xf425c570, 0xbdc5b9d1,
+    0xae93b15a, 0xf0971b1f, 0x852330cc, 0xe3192a03, 0x081286ff, 0x61e2741c, 0x7a1c4ce1, 0x5e8a4991,
+    0x8104f42a, 0xf595007c, 0x9431c880, 0x77d55adc, 0xb384bd98, 0xfd2b8d4d, 0x3d508b95, 0x924d514c,
+    0xb0e3538d, 0xf69d0842, 0x1aade92e, 0x9f74cbeb, 0xcd6110b1, 0x0f95ee70, 0xd283364c, 0xe8346397,
+    0x6ae0d6a0, 0x74894e47, 0x2ecd7a0a, 0x94948d1e, 0x43b82486, 0x7f424203, 0xa95ff7a9, 0xa8e8d4ba,
+    0x562176a2, 0x55f3c3ba, 0xe13c7a56, 0x0b0a7396, 0x28ae62c3, 0x36859473, 0xc859d4e1, 0xc20ac557,
+    0x29f7a56e, 0x176ea798, 0xd1f17b20, 0xdb166a86, 0x34ac6a1a, 0xe6257605, 0x8a1ed067, 0x2f68b6cd,
+    0xbf5e5ef2, 0x5aab3292, 0x3d92a6de, 0xb22626ad, 0xd8404e83, 0xcb534ff3, 0x49f286a4, 0x5b942632,
+    0x3d545453, 0x15bcd820, 0x42773146, 0x80892ccd, 0xd1632c58, 0x41ee221e, 0x1c953873, 0xa0618f9a,
+    0x9219965d, 0x4127235a, 0xf3f9a454, 0x0b53e7c7, 0x20fe9b5f, 0xf02daa72, 0x57a1950f, 0x64472192,
+    0x99f1362b, 0xac6de597, 0x465955e9, 0x5efc286b, 0x9fe562e8, 0x02f83d69, 0xba6c2afe, 0x43e2aabf,
+    0x3e4a9a46, 0xe133f77f, 0xb726479b, 0x488b723a, 0x98ac3d9d, 0xc96eb6b4, 0x22d175b4, 0xc9d5267d,
+    0x9b3203a3, 0x1f005619, 0x618e994f, 0xc6a8e101, 0x04788612, 0xcf3eba24, 0xbb9f25d2, 0xff71863a,
+    0xc695a0f0, 0x560d859d, 0xc9052220, 0xcdfeeae4, 0xdf1e34df, 0xd3db800c, 0xcfe20af6, 0x2a6b99b8,
+    0x04100e9c, 0x2045dcd7, 0x2a8d95e3, 0x0f203bbe, 0xa46dea43, 0xf3e4557b, 0x9ca60198, 0x278b87bc,
+    0x775a9cb5, 0x4e72ea55, 0x04bd58cf, 0x85e50051, 0xf7806811, 0x54f98a21, 0x15bcbbdf, 0x71ede1b7,
+    0x63f2c58e, 0x76eba4d6, 0x23de38aa, 0x9550c6c4, 0xb47d34fe, 0xf0f8635c, 0x38355edb, 0x1fce2644,
+    0x31be52a0, 0x29f4931b, 0xc8f1bf91, 0x22d9cd24, 0x4e2b5275, 0x3713ab5a, 0xf03b5967, 0xcf08ae1d,
+    0x508407da, 0x2905998e, 0x430ee7c0, 0xf023618f, 0xe7c57082, 0xf230837a, 0x16bf9add, 0xf0f94d30,
+    0x00a24b7c, 0x4c383b04, 0xea90fc0f, 0x4828f502, 0x925ce4c0, 0x9c7b339b, 0x1e8be661, 0x956b5b2a,
+    0xed6afd68, 0x71c77e62, 0x8142a421, 0xd9ffb8f1, 0xf8f676b7, 0x44ff1451, 0x7b16fca6, 0x566904df,
+    0x09d6eef5, 0x85cf2c8a, 0x17e02a53, 0x18605b17, 0x9a605421, 0xab64a9da, 0x6ac43d39, 0x60b301a5,
+    0x84b260a3, 0x61414443, 0xc0346bb3, 0xfe230a8e, 0xf59c2e19, 0x793e7876, 0xd964300d, 0xaf8236c1,
+    0xfe9f16d2, 0x0edd7a69, 0x217382b7, 0xb08e5bd8, 0x169dfedc, 0xc2d96994, 0x639ce39e, 0x2653bf56,
+    0xbe3318b3, 0xf95c0f1d, 0xbc9b56b3, 0xe8b9271a, 0x76a14f0a, 0x3d0ede10, 0x6f0c902d, 0xa7a49d0d,
+    0x0d955497, 0x37a693fb, 0xef691c56, 0xd2511b3c, 0x5551c7d4, 0xa2d399d1, 0x163110b6, 0x7fa3e7d9,
+    0x81d5590b, 0x672a2f6b, 0x3619795b, 0xf2131a16, 0xe4b4bbd8, 0x136983a3, 0xcae78839, 0x07575349,
+    0x0ba56946, 0xb3efc76b, 0xb666554b, 0x35c00789, 0xc35c40bd, 0x67579496, 0x31c15189, 0x04cae62a,
+    0xc359c817, 0xbac49de0, 0x520cee85, 0x40d61eda, 0x33806545, 0xade47b41, 0xc94db268, 0x4804fd03,
+    0xa205a849, 0x7b4afb99, 0x2803cadf, 0x1f1718cf, 0xf486bc75, 0x6ee9a331, 0x8da3da6d, 0x7846f217,
+    0x05b2b2c1, 0x04e5e857, 0x2ac231bc, 0x9f20de8e, 0x747a45f5, 0x3882b0e6, 0x53350cd9, 0x37ddb18d,
+    0x895f4b17, 0x3272dfcf, 0xff22cbf4, 0xb7dd413a, 0xf001eaf8, 0x71282429, 0x1bd1e8f6, 0xc35bc0c8,
+    0x334380ac, 0x56e17f39, 0x6a706cfe, 0x7a3933d4, 0x28805762, 0x3576a146, 0x8dbfbfe0, 0x25cb47b5,
+    0x459e253d, 0x85db6e2f, 0xa322d410, 0x086c1cc6, 0x225d8ccd, 0x7f258002, 0x7a2fcab5, 0x937117b6,
+    0x09c995f8, 0xcfa40d9f, 0xafc3dc08, 0xcab096e8, 0x4017c6cc, 0x6f41a736, 0x1244a3dc, 0x1a96e8b4,
+    0x106fe881, 0xcf3948f4, 0x8f834017, 0x1e709683, 0xe59a3bd5, 0xfea63597, 0x40aea5e8, 0xbadf10c7,
+    0x5ac83076, 0xb1a3f7f9, 0xb2bb3852, 0x76f16276, 0xf467d9ed, 0xa7abfe31, 0x76c1067a, 0xc45cd8fb,
+    0x668db182, 0x2deccd90, 0x368e90e2, 0xa22d92da, 0xd1be52b5, 0xfd449845, 0x045d10b1, 0x1430f8fc,
+    0x93568c94, 0xe849e320, 0x7dc22b5f, 0x0e57e8be, 0x470e6653, 0xaca55c53, 0xcedb1953, 0x6fe9087d,
+    0xc8eafe7a, 0x969e2ebe, 0x809d2233, 0x5cf1a2c0, 0x66b66563, 0x532c5d22, 0xb3b51e54, 0xd9cf6e9d,
+    0x5aa339cf, 0xc48c9d87, 0x039e451a, 0xdcfb0290, 0x5dde54f6, 0x2bd75bc2, 0x39dca916, 0xbfa055ec,
+    0x3dd2a2aa, 0xcdcba672, 0x06a5bebe, 0x82835fb2, 0x8c24c38f, 0xf523c863, 0x17ad8c74, 0xd8e6c735,
+    0x98550c0a, 0x271a5987, 0x859a055b, 0xeae58402, 0x808e4051, 0xa0379e4d, 0xe22cab82, 0x31d9a2be,
+    0xf07170b9, 0xa4ca44f4, 0xbd7df01a, 0x0faafc9a, 0xb160d29f, 0xccb7c837, 0x31f39d7e, 0x6b3998d7,
+    0x35ab2995, 0xb44c18f5, 0xa4cf4114, 0xac3f65e0, 0xebc4d848, 0x15497872, 0xa596bf80, 0xd37b6b19,
+    0x7f76ec30, 0x151ad6d9, 0xdb663b1d, 0x110e16be, 0x70e6610b, 0x6103bab9, 0x2c03e52a, 0x983ba7dd,
+    0x04e9eaad, 0x1ada713f, 0x0653bfaa, 0xcbd5939a, 0x09807d97, 0x94e66847, 0x4c2f1988, 0x964b0ebf,
+    0x49f1c466, 0xa5c48bf1, 0x9b25e361, 0xe9e3035b, 0x5370bd80, 0x1c8f30b6, 0x7b320703, 0x9266f564,
+    0x54a67b39, 0x4d4a1ffa, 0xb5580a68, 0x89235281, 0x5850c143, 0x7c33d882, 0x3527d4cc, 0xda365dd9,
+    0x27917879, 0x359e1a9b, 0x800cdabf, 0x075e8c8f, 0x9721c27c, 0x98665cc9, 0x83949a5a, 0xf35593b0,
+    0xff442fc9, 0x3b765dff, 0xe5098e75, 0x9a4a4ef1, 0x1743b3ee, 0x04753180, 0xcd5194c8, 0x6aa708be,
+    0xb43b79f4, 0xa1e147b0, 0xcbb58df6, 0x17e3edc7, 0x8d941deb, 0x4c67613e, 0xee8b8bb9, 0xa6c1533e,
+    0x4116a557, 0x1d7c2caa, 0xca0ec9b0, 0xabda2920, 0xefce2e0f, 0x00f220f0, 0x47fd1422, 0x9e703a2f,
+    0x03af8e07, 0x03d751df, 0x5a876acf, 0xdfe17a6c, 0x3490c087, 0xafccc66d, 0x98a58372, 0x2c8c7be7,
+    0x8f96cdee, 0x29d6751a, 0x98edcca9, 0x3698d6f6, 0xcba503d2, 0x10dad713, 0x1de83c62, 0x879b9955,
+    0x6ecb2439, 0xa879aedd, 0xc1d0d79f, 0x177c363c, 0x90cb038c, 0xfe521af3, 0xd860d328, 0xd3c2b9b8,
+    0x2f35de4e, 0x87d7f4a8, 0x690f421f, 0xd5c4d0be, 0x174eb769, 0x9ba81c2a, 0x256f2fa4, 0xcb25750e,
+    0xcfab874d, 0x74d5f43a, 0x75761ce5, 0x6382470d, 0x1a2eaa3d, 0xd0824ab4, 0xd3aee625, 0xaa0df2d0,
+    0x4cada8dc, 0xa2812600, 0x68e6e6be, 0x635b4f7f, 0xd120b799, 0x13d40881, 0x89d90a02, 0xa9b87ded,
+    0x6dcb5217, 0x28e4a3b4, 0x063d45c9, 0x14a66e43, 0x1ea92218, 0xfa3b2b29, 0xdd13cede, 0xdfd1bef0,
+    0xe189be31, 0x789500cd, 0xbffd4c81, 0xf6dffcd9, 0xa2fd0f64, 0xa439dd8f, 0x7e7c1c00, 0x9dedd3e3,
+    0x8ba16495, 0xc695af1f, 0xdd04d675, 0xb34217da, 0xa0f7ca41, 0xfffcb6b0, 0x0c5f6c00, 0xe8dc5e07,
+    0x44402247, 0x9565d1ff, 0xeccec76b, 0xe8071ed0, 0xb5f44d24, 0xdace58c7, 0x1fd30ef7, 0xfb9f9e54,
+    0xdc9500b3, 0x77e255ef, 0x3f4c3cbc, 0x3378d44d, 0xee7287ff, 0x7830d36b, 0x86b2496d, 0x90e4c7cd,
+    0x00000000,
+    0x39098a55, 0x64d27540, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000196159429230833773869868419475239575503198607639501078528 */
+  { 0x00000000,
+    0x12aa2db7, 0x8dbeabad, 0x0c5571f0, 0x5e55f26c, 0x3e38c691, 0x8815b4c7, 0xe268361a, 0xc5a88622,
+    0xa757cdae, 0x0419902a, 0xf8f470fa, 0x29ece3e7, 0xd0b961e7, 0xc8630b8e, 0x4088745b, 0x0b7a4233,
+    0xb100b084, 0xd3436f6d, 0x4c9ff6cc, 0x58499778, 0x47c0dbec, 0x8d9cb21b, 0xdc0d1580, 0x0326cb2f,
+    0x4be4a19b, 0xaedc477d, 0x625155ac, 0xa4607139, 0x6f0f01d3, 0xba01f1d8, 0x3d7b3fed, 0x97b0e7b9,
+    0x5b570af8, 0x5d41638b, 0x3a80fa05, 0xe7c64047, 0x80077ab8, 0xa1a3f772, 0xaee1df05, 0xaa4f44e2,
+    0xd3f641dc, 0x65674c44, 0xd4707aca, 0xc3a5cce0, 0x439db9c6, 0x70e0b3de, 0x87e28afd, 0xa7541f4a,
+    0x6e1d3dff, 0x93625147, 0x7d7b5765, 0x75f058f7, 0x22833e0d, 0x7cdcb00f, 0xe3a6f690, 0x20826892,
+    0xb3eb05bf, 0x09ce469d, 0x3bc0c449, 0xcb33bb57, 0x4dacd892, 0x7b10a7cd, 0x45822426, 0x31d2649b,
+    0xab571cb9, 0x88299dc1, 0xd6a285a4, 0x61204f09, 0x63e2d57f, 0x732c41dc, 0xc319c48d, 0xd6ea846f,
+    0x216fbf98, 0x9f66f30d, 0x84261b5c, 0x212de61a, 0x57257dad, 0xa623f059, 0x7cdcc703, 0xcae0fea8,
+    0xdd2d07c4, 0x3d7fcbd4, 0x5f6afa85, 0xfbb6620d, 0xb50b500a, 0x4f1eb741, 0xb26abe36, 0x86567eee,
+    0x854f831c, 0x99064c1c, 0x03ada510, 0x337e2321, 0xe4b299b1, 0x57dd087e, 0x8d5202ea, 0x90207a37,
+    0xd45a14c1, 0x7179212e, 0x7fbd60b8, 0xfebc83e1, 0xfc91707c, 0x21f65a0e, 0xf3f6617b, 0x0ccb7496,
+    0xfdff1c11, 0xbeda24d1, 0x03b744d7, 0x3c3caf7a, 0xe5b5a6ed, 0x539712cd, 0xeb3fb1e8, 0xa62d3b50,
+    0x526d39a2, 0x81339eae, 0x2ff929b2, 0xa801a474, 0xa4beffa8, 0x22d5a4ec, 0x9dc4835d, 0xd21c912d,
+    0xf1d680a2, 0xcba3e44d, 0x978a44f6, 0xefc89146, 0xd726a8a9, 0x03f6b6de, 0x5ab3b7b6, 0x0b7ae5a2,
+    0xa34cb1b0, 0x3de3b85d, 0x6c2b89a4, 0xec7b42c5, 0xf69c385e, 0x48bb6f58, 0x336fd7b0, 0xa0f2e844,
+    0x07a95287, 0xb028029f, 0x79514325, 0xda727cc2, 0x7248044d, 0x1250b84a, 0xf0f197aa, 0xb5017bba,
+    0xd8979775, 0x79aadf70, 0xbd25bdbd, 0x41ad15f5, 0xf5222f7d, 0xc9b66533, 0xc9469f77, 0xadb81d59,
+    0xa36f2f06, 0x65c6dbca, 0x4842f6e2, 0xa8405829, 0x3bedb24d, 0x9df5a99d, 0xcae2daa4, 0x2f7b4040,
+    0x91bbefe8, 0x50d635fe, 0x4393ba63, 0xbd11712b, 0x4d4d6528, 0xf766f5cb, 0x34e2f6cc, 0x7a6ea378,
+    0x2134e43d, 0xbeac31d8, 0xccf2e23a, 0x93b02d5a, 0x7be0dcd0, 0x91312a6d, 0xc29b009e, 0x93713623,
+    0x69424faa, 0xd9a70855, 0x8b802ea4, 0x9ab6fad3, 0x2c544501, 0x61e59bd5, 0x5c5300cd, 0x9b0b3e6c,
+    0xb9bf7839, 0xb56b0887, 0xae1e1b4c, 0x8ca5f656, 0x8370cda0, 0x6b89f1d4, 0x34e77ddd, 0x967b9c6c,
+    0xf34fe8f4, 0x499f780d, 0xa55b3d6e, 0x25973555, 0x30f92e4d, 0xe085a34e, 0xb3905cc5, 0xe546d05e,
+    0xd41ed396, 0x2003da2d, 0x466d7584, 0xbff6b109, 0x1aca9400, 0x9f9e43b5, 0x7b079002, 0x801ff28b,
+    0x9e347176, 0x66c5f964, 0x164779f1, 0xbe5a77b4, 0xaee7fc06, 0xb9b0ec20, 0x02710735, 0x2ee523c7,
+    0x79ce6d55, 0xbd2d7118, 0x15441c14, 0x03af9d4b, 0x9ef42da7, 0x0769b11d, 0x82c2a54d, 0x315a4195,
+    0xf4c88f8b, 0x9d4f06be, 0x7061e3b6, 0x0cf83b7a, 0xe613ec55, 0xca561ecf, 0x177c9b00, 0x1ecf609d,
+    0xd6fde0f3, 0xd55f1533, 0x9994c803, 0xc5f32844, 0x2c777383, 0xf403537e, 0x884373c9, 0x78a3a373,
+    0x121116bc, 0xee53573b, 0x4962b96b, 0x92632955, 0x0c6b96b8, 0x768ac9f0, 0x1b712ec9, 0x5114d783,
+    0x0d9e349e, 0xa0d1db78, 0x007b0ece, 0x5fbc756c, 0x010f34a6, 0xea3ce640, 0xd01a3718, 0x881b904c,
+    0x5e6205bf, 0x22b5fb6c, 0x520124b9, 0xeb5913ed, 0xb31dca65, 0xc7efd8cc, 0x9fa7e18b, 0xb4d3ab93,
+    0x068e1ce6, 0x6cf437f3, 0x5a2c052d, 0x9d729169, 0x976a2a10, 0xd211e483, 0xedb80629, 0xb237bd3f,
+    0x775cc80a, 0xaf9aee40, 0xfda52e9d, 0xe4f71176, 0xbf467d52, 0x169ee850, 0x227e8338, 0xe4c01a1a,
+    0x2f07569a, 0x716ec395, 0xe03c6cc9, 0x1386ea53, 0x3b97238e, 0xde8c9056, 0xac0890c4, 0x976dd3d8,
+    0x0398200f, 0x8b528c65, 0xc66aee75, 0xd748cea7, 0x096cc200, 0x6e320177, 0xd60c9ba0, 0xa130c482,
+    0xbafaa21a, 0x1ab3ecf8, 0x131b78d7, 0x1b175127, 0x5155f71c, 0x213648de, 0xd2df801f, 0x4e167ad1,
+    0x2310d588, 0xa2608bee, 0xb1616642, 0x4653280b, 0xa08a880d, 0xc7f07981, 0xf375d6d9, 0xfc2fbc8c,
+    0x8aa50fe3, 0x46cd44c0, 0xc4032f8d, 0x46da90ca, 0xe16e5169, 0x8bba9f0f, 0x006c84cb, 0x4afdd4ea,
+    0x32b73f68, 0xffdca393, 0x6688ae81, 0x52fd8bf1, 0x282cd836, 0x0100aa5e, 0xdd01d996, 0x99c008bb,
+    0xfa52f058, 0x2599ea8f, 0xbb5fc783, 0xe8a4bb9c, 0x788f7e7a, 0x087b5baf, 0x2f9472e7, 0x06de157d,
+    0x18682c52, 0xea418006, 0x079945e9, 0x69790f42, 0x963a28d1, 0x3023feec, 0x1e495896, 0x690b52a3,
+    0x8769da04, 0x6dbf4448, 0x07107ad6, 0x6efaf23b, 0xac17959d, 0x772f8100, 0x447eccf3, 0x400c070d,
+    0x025c6fe2, 0x4e02df97, 0xc15a7823, 0x835e5c1e, 0xb2b67640, 0xc6a72d43, 0x3b04e847, 0x2f0fc50c,
+    0x9fc295b7, 0x0e7cbc2f, 0xf6910351, 0xba9728b5, 0x6c5cdb78, 0xbcd44335, 0x59d04e0a, 0x6a3ad57f,
+    0x243619fc, 0xfbabc5b5, 0xd5e539d7, 0x8820258f, 0xe1aba872, 0x67a29710, 0x86f4ead1, 0x13082f60,
+    0x1a05ca58, 0x3293d1c5, 0xb0a6639a, 0x69426b86, 0x13d4ee5c, 0xc0b32219, 0xee66bd93, 0x484618d5,
+    0xf8792b8a, 0x9d5c1f28, 0x5b624c52, 0x87142a1f, 0x9d9d7813, 0x2634dea8, 0xa741be33, 0x09fb1516,
+    0x0d94cb68, 0xf860032f, 0x0b9522d7, 0xa011be94, 0xdc08f00e, 0x5ae8b2c8, 0x9542036b, 0xdfa9aa21,
+    0x52384fad, 0xb3a949ba, 0xa10d3c7d, 0x695a9ae2, 0x76e05e8d, 0x5a025a17, 0x583a6d45, 0xd16002ee,
+    0x187c7190, 0xf6ffe979, 0x053a2ac1, 0x704b6417, 0x8666e821, 0x9e36af9e, 0xb4eb07ff, 0x00f65d16,
+    0xffbfff39, 0xa476b501, 0x10e57b79, 0xb99f9b71, 0x3742c965, 0x77be7886, 0xfb85654c, 0x920a9c70,
+    0x793a2103, 0x96b24074, 0xd8efa5b6, 0x8f46550b, 0xc23a4c3f, 0x8a8c674c, 0xa941b32a, 0xba26b4f5,
+    0xbf846dc6, 0x43e25b8c, 0xd6dbee59, 0x386a6494, 0x60582cc2, 0x98da0f12, 0x117429d7, 0x2eab3cc5,
+    0x35ca4fa5, 0x2e3a4cb0, 0x4032df58, 0xf690bd07, 0x14e82e2c, 0xd0460028, 0x9bbddeaf, 0x0af2dc9b,
+    0x89aa7865, 0xa194f9f5, 0xa68febc2, 0x924d9356, 0x58c74998, 0xdc67412d, 0x36ccf04b, 0x67246ced,
+    0x33d1686f, 0x21763a48, 0xe835ca9e, 0xd09552f3, 0x12f7f57d, 0x5a3dbc98, 0xf90092eb, 0x4a3e4952,
+    0x019c46d6, 0x150f62ea, 0xb8b6a426, 0x4a359fc5, 0x500f6ad6, 0x8cfcb466, 0x5ac7fa99, 0x860ab3a9,
+    0x4564dd46, 0x92929fce, 0xdc605cfc, 0xbc1da871, 0x80d3cdde, 0x47948e6c, 0x9f4b214b, 0x530f99a8,
+    0x66e5e81b, 0xe7fec7e3, 0xea22d2a7, 0xba1103a7, 0x88c8b3a1, 0xcc6592c5, 0x0e95828f, 0x38bd2d67,
+    0xd29fc1ad, 0x17531823, 0xb3d31ed8, 0x2f8664b2, 0xd49b6f8b, 0x1f5f33c4, 0x56b4d572, 0x5dfc6544,
+    0x8c658c58, 0x79ae2725, 0x4f2165b5, 0xd38bb748, 0xcaee813a, 0xe60ad3c5, 0x07906659, 0x631cb201,
+    0xeb3adcf9, 0xfe04cbf1, 0x88ce5a25, 0x0bc0ed99, 0xdbb1b48e, 0xc64b3e0d, 0xcd3ee131, 0xfbfea1a0,
+    0x25af86a1, 0x25c32e16, 0x06db2155, 0x46014b39, 0x3a187dee, 0xe5cf5c00, 0x18c2bacb, 0x70b7d695,
+    0x6857fbc0, 0x661a292f, 0x8342689c, 0xa74cc808, 0x6744af3a, 0xf402215e, 0x9d8d2766, 0x9ff4ef60,
+    0x5d8a26a8, 0xa5d79948, 0x98eac1e3, 0x944310bc, 0x59fdd7c7, 0x11db17a6, 0x85f3823d, 0xc9654953,
+    0x463199c7, 0xbfb41e7d, 0x14557995, 0x955c778d, 0xde5cb640, 0x4a689b2c, 0xe712628a, 0x572f5d76,
+    0xf846efed, 0x6ba81aa3, 0x451f5886, 0xb25357f7, 0xc864f44d, 0x83afc009, 0x0c3ba1d8, 0xf9a6a1b6,
+    0x10b6167b, 0xd6a61126, 0x7509352a, 0xa6047584, 0xd2e7d430, 0xcabcc881, 0xa3b4f82c, 0xb8f218f7,
+    0xc09fe0fb, 0x10b10e41, 0x7ed9519f, 0x577131c3, 0x3fe22a4d, 0xfc3a7a92, 0x9416e0ce, 0x9061089d,
+    0x8465d51c, 0x6baa0396, 0x201ce840, 0xb58734ae, 0x5bf2512a, 0xb64a7bb9, 0x1e0f0b2f, 0x4031cdb1,
+    0xfe2cc778, 0xfc674753, 0x6fa09747, 0x3935d541, 0x3472333c, 0x41034180, 0xd254887f, 0x3a462d73,
+    0x267ee743, 0x56043260, 0xa2adc732, 0x0c12af2b, 0xad1689f1, 0x1b59979c, 0xbbf01ad9, 0x9b361cda,
+    0x9bcdc61a, 0x1fdb12d4, 0x27d5c55d, 0x0b89c961, 0x2928ce13, 0x46dfeb0e, 0x4f09170b, 0x8945e677,
+    0xb9ff3798, 0x7ecdcb4e, 0x155d1707, 0x5ed7a9ea, 0xdba70200, 0x1744e256, 0x453f818f, 0x6e40694e,
+    0x29fdf1d1, 0xf8b7c759, 0xb6d767df, 0x38736a0a, 0xd9b21ec1, 0xc261a417, 0xd1308dd0, 0xd3b89842,
+    0x1b4f2dc4, 0x106c1f89, 0x683f57af, 0x2b5e7a79, 0x91a7553f, 0x6c355ec4, 0x36669ec2, 0xdeb54edb,
+    0x876ba846, 0x637a212e, 0xb404c6f7, 0xa7ee7383, 0x831ed0b6, 0x4d65493f, 0x14a4c9df, 0x5d4612ad,
+    0xd9afbfc9, 0xf7ca3b17, 0x85980085, 0x5a5a0931, 0xbeb89b71, 0xe3de8ae8, 0xcf8fcdfd, 0xee9cab93,
+    0x859e84e1, 0xd873ba1f, 0xd324f448, 0x2ed4f409, 0x80c7fe76, 0x252c94f2, 0x7cae1aad, 0xa426d7f5,
+    0x5bbcd888, 0xb72d0321, 0xd254c837, 0x9600fb01, 0xbba050c8, 0x93ee8dae, 0x763d5f78, 0xa0161e78,
+    0x26861b97, 0xab0aeae8, 0x7eabd21d, 0x603dd02b, 0x266b8464, 0x27124604, 0x8b7a4222, 0xc6423123,
+    0x8ac56172, 0xd9f7d42a, 0x3d81075c, 0x9ac4ee56, 0x3e39dbce, 0xfc63047a, 0xbedb6b02, 0x16df8f25,
+    0x6e43a380, 0xf3d67891, 0x48a5b9df, 0xaad76679, 0xcd24ee01, 0x356fbc3d, 0x4edebb01, 0xf4802451,
+    0xf6ec8fc2, 0xe1aedfcd, 0x497d818a, 0xb30945bf, 0x240bad5c, 0xf28674d4, 0xd1d9abd9, 0x2edbd958,
+    0x415d51c3, 0x65d7f9d3, 0x0b821657, 0xc3e70095, 0x3064f35d, 0xe8e9cd50, 0x69654b77, 0x06ed9787,
+    0x53e9b4fa, 0x138d0cfc, 0x4db419e2, 0x6144b061, 0x02e9d994, 0x335c090f, 0x509d520c, 0x582d3b0e,
+    0x2ebd1b23, 0x9780704c, 0x946a2922, 0x5d5d5dfe, 0xc55d22ae, 0xa42e9728, 0xdd0db11b, 0x597d6f46,
+    0xc6cc293c, 0xbd9de668, 0xb07a06f1, 0xe0ab4d2d, 0xc49bf374, 0xbb3c417b, 0x663bf1c1, 0x4286208a,
+    0x66a4d5a9, 0x9b10c052, 0xf2df1564, 0xb39e1c41, 0x3fb1f6d1, 0x936dc103, 0x989b2fc6, 0x59b1291b,
+    0xf0267777, 0x3d7ed81f, 0x780efc4a, 0xcbc81258, 0x72444b5a, 0x0d6a4dab, 0x70848961, 0xf61b29d9,
+    0xcfaaa9e4, 0x74d6965f, 0xe85de66f, 0xf4a95a72, 0xc1e90f73, 0x6809d4d8, 0x9c5db69d, 0xd2b24db0,
+    0xa7b8bb66, 0xec750108, 0xff439858, 0x98f32c2d, 0x6ff06b13, 0x22983cb4, 0x5eb6b090, 0x7cd3dba4,
+    0x948af71c, 0x75a6eee8, 0xe80e744a, 0x1ad327c0, 0x74ffa72a, 0x64cf4c4b, 0x29ed524a, 0x162b2740,
+    0x1ec07928, 0x1464d87c, 0x9b884129, 0x65fa2377, 0xa8524c83, 0xec88fedc, 0xc0151b7a, 0x62091a8e,
+    0xcc3c3848, 0xb13419f9, 0x21fbd992, 0x5ca6684b, 0xa9741b26, 0xb0a2d222, 0xf2b50612, 0xbd91fc4b,
+    0xfb39979f, 0xd62d26ff, 0xd43676b3, 0x521f59f4, 0x41307e30, 0x34014f9d, 0x2fdf098c, 0xb2c7811a,
+    0xab0c915b, 0x867e77a7, 0xdd14b436, 0x0dfd1514, 0xfd81637f, 0xaf08418b, 0xb04c619d, 0xbe1c79e5,
+    0xc9698d7f, 0xdff3ef24, 0xd2c882e9, 0x91645d09, 0xb0c42efc, 0x92f85d00, 0x21ab9ce9, 0xb599c045,
+    0x8dbea996, 0xa9c89ba0, 0xe9aa2798, 0xcc1043e3, 0x3c44df6c, 0x390a3c39, 0xc204f9f7, 0x714dc645,
+    0x1fb6f63c, 0xf5568ef8, 0x69938ba4, 0x33a19b8f, 0x8a5b1469, 0x43871d90, 0xb4a08b58, 0xc328c267,
+    0xd0bc5681, 0x5dc2a102, 0x461862e6, 0xb5994cc9, 0xf5bdce26, 0xd474ab40, 0x34b52aa1, 0xb0644965,
+    0x080e8998, 0xd59a2ff1, 0xedf50ac8, 0x57a24da3, 0xfcef0d39, 0x4584765b, 0x6a2e6008, 0x6fbb02d9,
+    0x56c74e4a, 0x85848671, 0xac3d2b4f, 0xb7dcc9bf, 0x688b83a4, 0x2a5935d7, 0xdc61abe0, 0x529d3ae7,
+    0x7bf06c1c, 0x620e3263, 0x7ae41291, 0x7a29ee87, 0x8a0c20a8, 0x90e3bd9c, 0x188dd0ae, 0xd3afa964,
+    0x042481db, 0x622a7735, 0x8afb0caa, 0x9b128cc4, 0xd21a002f, 0x6273e193, 0xf7ed8994, 0xb31346af,
+    0x71b7fa97, 0x563fa4bc, 0x76cf6773, 0x66a07f0e, 0xb7fc479c, 0x58441d5b, 0xd28ebf5d, 0xda561363,
+    0x62e5737d, 0x832d3734, 0x1fd6c4d8, 0xc4de2187, 0x0e1d39c6, 0x9d5a553e, 0xbc6acc7a, 0xbe220751,
+    0x641b60ae, 0x9423675b, 0x2a24d739, 0xc8963299, 0x93fc9af4, 0x4023160d, 0x0722c13c, 0x5c33a7de,
+    0x23d4e1ae, 0xaf14ed91, 0xdad9dc68, 0x3bd84cdd, 0xbf5cd95c, 0xa223b455, 0x4da3082c, 0x99a9dce8,
+    0x6b895411, 0xf3d94677, 0xa28705a7, 0xcf6a2032, 0x77a3d9b2, 0x03886440, 0x252e50ad, 0xace2c963,
+    0xc624719b, 0xc47667f8, 0x73d2f091, 0x16f7a4ef, 0x2d1e74f7, 0x0202f031, 0xe3b8f229, 0x2de3d131,
+    0x7272bfd6, 0x910f4a25, 0xd739fe01, 0xc79c4686, 0xc9296094, 0xde6ef2cc, 0xa7a2daf9, 0x4d3f4ef7,
+    0x07b799bc, 0x6c3461dd, 0x70ed509e, 0x2d9bf49a, 0x4c712959, 0x405c1f6a, 0x5a44333a, 0xfe58c095,
+    0xe513eade, 0x219304a7, 0x18d93d27, 0xc392dd05, 0x6f7be128, 0xdbe06ab0, 0xb1de2736, 0xd4d247e2,
+    0xd2ff302a, 0xb06f9647, 0x13570cb8, 0xa3428351, 0x1b008e37, 0xfcdb74c9, 0x7f61add2, 0x64951484,
+    0x97aa2007, 0xf7711643, 0x38e29165, 0xc68c6bb8, 0x48d9e443, 0xc27f39cf, 0x4890622d, 0xbe7e5ef4,
+    0xda8fedd7, 0x53674cff, 0xb9ac98a8, 0x59417ee0, 0xab33094d, 0x8bb9658b, 0x2e7c278d, 0x599f4e66,
+    0xa88bcb0b, 0xf2b283d1, 0x611d5d59, 0x66d17efe, 0x0860851a, 0x0bc02eba, 0x60fc36e1, 0x993cad12,
+    0xf7b30592, 0x99ef9fb2, 0x18decb90, 0x87545da5, 0x1c683e71, 0xaefc74c8, 0x50af9b58, 0xc1439b2b,
+    0x053aea26, 0xd144c1ff, 0xa93d7929, 0xf012e513, 0x9c584aff, 0xbfd78a94, 0x7dfde813, 0xdb4fe019,
+    0xb29b8502, 0x177e7e9b, 0xaa3b2189, 0xd5538bc3, 0x2925fd71, 0x8a4cf75a, 0x1585ce40, 0x1bede6c9,
+    0x888692cf, 0xe23f55b5, 0xf42f3431, 0xb87b93e5, 0x43d63251, 0xbe0b5cfe, 0x4187685d, 0x840fb8ed,
+    0x6699c464, 0x563ad700, 0xafc41b89, 0xa79f6f5c, 0xf7d6f146, 0xe1c47eaf, 0xd337c517, 0x8b3bbddc,
+    0x271cd96f, 0x5a42fb3d, 0x93bf73e7, 0xc8a35847, 0xdaacc9aa, 0xb4581eef, 0x6005b5b6, 0x882f64d3,
+    0x00000000,
+    0x1c84c52a, 0x32693aa0, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000098079714615416886934934209737619787751599303819750539264 */
+  { 0x00000000,
+    0x1dc586a9, 0x5e3c4b3c, 0x0b8e9464, 0x6e646435, 0xa4c0988e, 0x66b66757, 0x5d56699d, 0x22255ad8,
+    0x1fdd2216, 0x4b39972e, 0xdb9a71ec, 0x489682da, 0xd97e8c4b, 0x94878843, 0xd955917e, 0xa4ca9896,
+    0x8bab04e4, 0x8722a70c, 0x92b07b97, 0x23a15d9e, 0xa66a1274, 0xdc5b304a, 0x3a8aea0b, 0x9d384af8,
+    0xc11126c3, 0xbe0840ca, 0xc5213522, 0x47d7f9ab, 0x2897e0b1, 0x73181a59, 0xbac88aee, 0xdfb74e50,
+    0xd1adba7e, 0x8cb147b7, 0xfc1d0001, 0x29e03f84, 0x96dcf5f4, 0x7d836b23, 0xad61903d, 0xaf1728c2,
+    0x54cb13a4, 0x62218283, 0x9993de92, 0xdec2b76e, 0xfe8b3ec7, 0xe225cc06, 0xaa5e2ca5, 0x5fda49e6,
+    0x3fd38930, 0xfb7df3e8, 0xdac022b4, 0xa950d2a7, 0xd1d5dc8a, 0xe08fa4db, 0x69d721a4, 0xaa8a2b9c,
+    0x69b21ea7, 0x4e233528, 0xe83e669e, 0xf1254a7e, 0x598289fc, 0x817a5090, 0x3244c426, 0x38db26e6,
+    0xe3d83362, 0x4904d63c, 0xf2875ba1, 0xbecc1b98, 0xc119ca31, 0x9b72dca0, 0x6eb17aa5, 0xe25bc7ab,
+    0x038f6b76, 0x014a99dd, 0x16859555, 0x9aa51fb5, 0xdc02e13c, 0x59e89f81, 0xfe68bbdc, 0x617926ad,
+    0xcf85ce70, 0x17049d9a, 0x6fe1e237, 0xcbf35de5, 0xe6d8dc3a, 0x85e3a863, 0x0e4cdf59, 0x810035bd,
+    0x79c73344, 0x078156ac, 0x16d0a499, 0x93512b3f, 0xf14713f5, 0xe9199231, 0x8a8bced2, 0x8cd83fa4,
+    0x9647de3e, 0x9fa94016, 0xa2b4eed8, 0x66d78ada, 0x713eada7, 0xadcc0689, 0x5ca31f54, 0xc7339e1d,
+    0x28327b43, 0x28d271ba, 0x69f4fc09, 0xa73fc973, 0x3c399b82, 0xa6acf422, 0x01a47d2a, 0xd5318e38,
+    0x0be5046a, 0x0b53712e, 0x8780e6aa, 0x0cd043ab, 0x924454cf, 0x72edbfd4, 0x9790008a, 0x391e440b,
+    0x04ec9006, 0xfce62521, 0x3fb7b44b, 0x36d7d095, 0x51554be6, 0xefcc4de7, 0x1f2ac402, 0x46f6e7f8,
+    0x51fac545, 0xceed5838, 0x3a12dcff, 0x861bb4c1, 0x9e511df2, 0x678f3db1, 0x5982444d, 0x7a596930,
+    0xc8404812, 0xe2ed079c, 0xec66d887, 0xa2fffb53, 0xd9bbbdb1, 0xa331279a, 0x5ef02fc3, 0x10f2fa35,
+    0x0322654a, 0xa51ab97f, 0x3e853f2a, 0xc57423d9, 0xf38b5784, 0x5a598285, 0x38ebe286, 0x92793b57,
+    0x6ae49323, 0x169f9549, 0xf116855d, 0xa41deba9, 0x67559ae3, 0x28272879, 0x5f40e724, 0x934e01ab,
+    0x63662b39, 0x2bd52949, 0x17b77fcb, 0xa24b7090, 0x789119a8, 0x7751fd33, 0xdf4d211b, 0x71c61b84,
+    0xaf890ef4, 0xe2aa79b4, 0x0f21aa8d, 0x169441bd, 0xeaed609b, 0xd16e8096, 0x9a8d330f, 0xbbc3d502,
+    0xa68a9754, 0x6b84448b, 0x6c89d8a0, 0xbc467383, 0xd3b23fa0, 0x00c6dd72, 0xe377f490, 0x706c16c1,
+    0x521586df, 0xc3acbbaf, 0xf4f0d1a2, 0x751c7dab, 0x5dbaa354, 0x5390a5c8, 0x56957e39, 0xb761a750,
+    0xe75e67d6, 0x2394796d, 0xcfc6baf5, 0xcfe23924, 0xf8ac07d0, 0x0ae9e353, 0xb3b8a4c2, 0xd5c38eef,
+    0x74915517, 0x51fb90b3, 0x2ec30b19, 0x31c3d87a, 0x99afe8f0, 0x0953d7ce, 0x83d50257, 0x35d9e517,
+    0x7b0682cb, 0x0fcb4d14, 0xa44001b7, 0x0b14b248, 0x4ce05565, 0x9df42a9b, 0x32ddd266, 0x7325fc61,
+    0x24749312, 0x22ece990, 0x5c433ccd, 0xa0bab5ea, 0x6d383545, 0xacde41be, 0x120d3332, 0x2f0e75bb,
+    0x7b3c5e4a, 0x92314bda, 0x19bf7372, 0x5dc9f460, 0x041dd27a, 0xdf742b23, 0x4e2f6c27, 0x2cdee871,
+    0x5d34c103, 0x22564261, 0xcdc4489f, 0x73f54942, 0x6559365d, 0x376a81fb, 0xe6540dcf, 0x9d35bde6,
+    0x0dc48caa, 0x240d4317, 0x903600d8, 0x65f0efd0, 0x2eeae019, 0xffb02a3b, 0xf4269117, 0x6007f5b2,
+    0x8f16a8a0, 0xba6c07e3, 0xeb345a25, 0x5d077450, 0xd08a3987, 0xf76ec4e5, 0xba23a131, 0x58edbba4,
+    0xd33f74fd, 0xce61cd51, 0xabf5df2f, 0x56adc4c0, 0x431bcf4f, 0x3e1ebb0f, 0x448022d9, 0x6b74cf7f,
+    0x3c6da783, 0xe3d44af2, 0x757c5568, 0x44e69611, 0xeda66c1d, 0x8d76586f, 0xb9698f6f, 0xa7c55e56,
+    0x69b206b8, 0x015864d9, 0xd44de787, 0x268b730a, 0x6c7c6ba9, 0xab5d01ad, 0x715a4fcf, 0xd9b8835c,
+    0xf9d07a0b, 0x16337542, 0xef8b24d2, 0x0bde7dda, 0x2b815dd2, 0x187d8f86, 0xfb453769, 0x81e1fa3e,
+    0x4ca34df6, 0x8eff5220, 0x7e3539d9, 0x46b75e88, 0x56d2e118, 0x8c2bc301, 0x0f53a5cd, 0x89d69d73,
+    0xf955e996, 0x9b4cc050, 0x05996409, 0x7a38d18f, 0xbc8793e7, 0xe30ec264, 0xf417973d, 0x1d56e9aa,
+    0xc05de284, 0xcd722275, 0xae659db0, 0x38fffdb8, 0x47fa67e3, 0x39c40de3, 0x54df80d7, 0x4032721a,
+    0x464040dc, 0x8d158366, 0x62d5a56e, 0xffa80610, 0x69e45826, 0x4db29012, 0x3d0aca41, 0x26de15ed,
+    0x67335d9b, 0xabb3dc55, 0x4d0cfa2c, 0x72f5913f, 0x1d869da2, 0xfde4fb26, 0xabecb26a, 0x0f1adf66,
+    0xfe8bcc0a, 0x5c3022f8, 0xb27fe36c, 0x3ebd0382, 0x71f455e3, 0x78ee4207, 0x771a1738, 0x5273dc66,
+    0x30c1f1a9, 0x0ba04830, 0x51eb8fdd, 0x5f36110b, 0x5a3aec54, 0x642f3003, 0x183b688e, 0x488d1ed4,
+    0x6257e448, 0xc1e65fdb, 0x5ec0a710, 0x039f857f, 0x1b259ff3, 0x8a8263bd, 0xdbc0ea68, 0x4b823c89,
+    0xcd7adbb2, 0xb9be2ca2, 0xfc720371, 0x6db5396c, 0xacabf07a, 0x95b1c7cd, 0xf2340b06, 0x7e4e1c9b,
+    0x19123432, 0xeaa313cb, 0x40556010, 0x89d71da2, 0x9f3e8f3a, 0xcbf9b63b, 0xbcf022e1, 0x2202772a,
+    0xe1ddde1b, 0x86a82833, 0x07f933ac, 0xc5910fc7, 0x2ed1b1e9, 0x2e29bc3f, 0x61691abc, 0xf1d1605f,
+    0x80973fd8, 0x76585635, 0xf97b4cb1, 0xaf57bf18, 0xc7cd2095, 0xc8dd12cd, 0x4c207297, 0x908df6a3,
+    0xc1538f32, 0xc56c4e33, 0x1723994b, 0x1d3c2034, 0x1e0a293c, 0x97d26996, 0xc8313c65, 0x54bafa5b,
+    0x75f61cf7, 0x7c6a48a9, 0xf03c57e1, 0xc945a6c8, 0x13df06ab, 0x7b7a24b1, 0x51147c04, 0x05e25a59,
+    0xa535cbb1, 0xeca0cecc, 0x3515fac3, 0xcc1d7d49, 0xdaa172ae, 0x11e9570d, 0x9858e38c, 0x77eccc16,
+    0x9a856470, 0x8a607eb6, 0xf9c618d5, 0x2480de74, 0x5bba7d8a, 0xd5a7a9d7, 0x8fac6e2a, 0x9c6fe283,
+    0x72dda6a0, 0xab71a300, 0x343aab9b, 0x7704a14e, 0xfb3c34c5, 0x683a1151, 0xdadf757b, 0x76bcf200,
+    0xbbbb856e, 0xb06d4699, 0x69513403, 0x56e74f05, 0x69a92f73, 0x840dc430, 0x62752990, 0xd95799c1,
+    0xbbfd5a64, 0x5cdda6ec, 0x8c8fb743, 0xc8e4c27e, 0x549e3b12, 0x92c5a9fa, 0x00d5160d, 0x4cbb2e7d,
+    0xcd3c84a5, 0x3358a16a, 0x7c8c1226, 0x72f441f6, 0x17f62c61, 0xe1057024, 0x6223f0af, 0x0dd246ce,
+    0x7ef3869f, 0x252d20e4, 0xc9257fa7, 0x6f31b2a1, 0x7da9b080, 0x58623f57, 0x18ec20ff, 0xd05fdcfe,
+    0x1e98aca0, 0x9bfd41a0, 0x53d7e4b7, 0xd433e321, 0xf78c6811, 0xa700e429, 0x5fb7c866, 0x4b139751,
+    0x114d67cb, 0xa342fe7f, 0xb7ce1e0a, 0xb5c58ba0, 0xaebfac4f, 0x442d9679, 0x16b3a6a5, 0xe69fa1b5,
+    0x20cd58f5, 0x25e92692, 0x540e5d22, 0x20d0e3c0, 0x1ed39842, 0x483f136a, 0x3865bc62, 0x5172625b,
+    0xcc645d6b, 0xaf61f4fa, 0xcb3d831b, 0xc8b3cdc3, 0xeb2e6071, 0x201e4008, 0x3788c9d0, 0x980d2ee4,
+    0x5ef417eb, 0xc785c1b8, 0x65fbc157, 0x95ca4c6c, 0xb476aa78, 0x0c631c6b, 0x300730c7, 0xb305e143,
+    0x9db4c0a0, 0xd00b6c93, 0xef778b38, 0x2378eff5, 0x12be0da6, 0xd9b97e3d, 0x21a65b77, 0x686cc320,
+    0x8bc69e60, 0x7747f18d, 0xdcd3556f, 0xf8047dc3, 0x0d615699, 0x7f522ea2, 0xad820358, 0x646a2166,
+    0x110cc974, 0x1b5b9df1, 0xeb498fea, 0xfbfe502b, 0x959b3fa5, 0x30a8b58e, 0x10f32a70, 0x1437ece5,
+    0x5e7365cf, 0x83353d97, 0xa13a208a, 0xe9733344, 0xdd8f0069, 0xb8dc386a, 0x09f44ed3, 0x68926737,
+    0x2ac04f84, 0xb46fc6c0, 0x74c1be4c, 0xd38365cc, 0xcf1bcd43, 0x6f096fee, 0x2f57483c, 0xda49990e,
+    0xcc410392, 0x1f20417f, 0x9dc27065, 0x128a36c9, 0xcacc0429, 0x4a63211b, 0x21dfb98c, 0x2e8ecc69,
+    0x2d7d2412, 0xf0131cc3, 0x75383dba, 0x5a0b544c, 0x2bcf2e9f, 0x2de7a6fe, 0x507fb70a, 0x54143688,
+    0xb395311c, 0x831e467c, 0x9c62b74c, 0x762e59ea, 0x84d7e745, 0x65eb9d73, 0x23100c7d, 0x62346132,
+    0x9d4cce82, 0xb2058586, 0x377c474f, 0x246f65da, 0x938c4a13, 0x10584648, 0x490261a6, 0x7e949d5c,
+    0x5ce6cd5c, 0x32f860b3, 0x5d2a7958, 0x5d782075, 0x3fa38c70, 0xedeed164, 0x4ec539cc, 0x055358b1,
+    0x2cf87c8c, 0xc9d76d5e, 0x47f612ef, 0x01a96d58, 0x09a01d86, 0x8e4d0cfd, 0xfc68ada2, 0x05941541,
+    0x41eb7a0d, 0x7c8e7e5f, 0x275fdbcb, 0x81b0d010, 0x087465b4, 0x034d5330, 0x7861ab76, 0x648d3d5d,
+    0x3eeb883d, 0xaa72af6b, 0x8cc563f1, 0xc90b97e4, 0xe8fb17c3, 0x92f10c5a, 0x9acdf41d, 0x2eb83cc7,
+    0xd5b396ea, 0x0e22fb1b, 0x7829b049, 0xe4e2e415, 0xd0df09fe, 0x1e88457a, 0xfeb979d8, 0xe33eb3b0,
+    0xbc6698c2, 0xd8fae2cc, 0xf23d4d64, 0x535517bd, 0x2442bb79, 0x96c2034b, 0x72a6a879, 0xe956447d,
+    0x6aa8982c, 0xe7e82b43, 0xb6cdba89, 0x2578a126, 0xd92d0ce3, 0xa39a4ca6, 0x95025740, 0x6736114c,
+    0xed1fd38c, 0x67bc7ab7, 0x496ab449, 0xf9c48c90, 0x35d14cd6, 0xecd68bb5, 0xbf4a051e, 0x3bfe0238,
+    0x93f7749b, 0x736305d3, 0x275f95c0, 0xc17611a1, 0x4cc39dc7, 0xa484c573, 0xdb3d44a7, 0xc1259398,
+    0x1a9679c8, 0xe24ecdd7, 0x06f77522, 0x07dd8cf7, 0x5e67e2c3, 0xcddc05ad, 0x71955b4f, 0xd66759d0,
+    0xb6fbdd1e, 0xc5e66c17, 0xb0111d33, 0xa994f381, 0xb221e103, 0x666989d3, 0xdf8d0893, 0xd0cf3524,
+    0x9dd415a9, 0xd06e26ee, 0x95b0f4cd, 0xee872ed0, 0xf44a4c93, 0x3c578857, 0xd14d6cb2, 0x08782065,
+    0xf1ab2175, 0xa3232b58, 0x24ad77d4, 0x71f77368, 0x119244dd, 0xde146d94, 0x3fb81802, 0xa497bef0,
+    0x26d2c894, 0xdf544655, 0x7cb98d4d, 0x28e75aa4, 0xeded1bdd, 0xbf09665f, 0x4d778819, 0x1cdb6fc4,
+    0x0a165e89, 0x25550555, 0x8001ddb8, 0xafe520dd, 0xf7137ef2, 0x2227c728, 0xfea289ab, 0x71507f5b,
+    0x65e1f495, 0xd389a33b, 0x93fbba72, 0xf4e84362, 0x66a62e0e, 0x43a45501, 0xc14f3d3b, 0x2dcae28c,
+    0x47b61e32, 0x844405bd, 0x0992d71c, 0xc65ea391, 0xa3248303, 0x0413ab3f, 0xff761b01, 0xdcbf96a4,
+    0x043ddd09, 0x3c140f5f, 0x17fd45b7, 0xe27ac480, 0x6f1ef4a9, 0xa94a3654, 0x678357c2, 0xf4f01161,
+    0x8aa79870, 0xb906b854, 0xc7ff4c21, 0x407d223b, 0xf482c8a3, 0xc59b8214, 0x95d618db, 0x20069d6c,
+    0xc2732c0d, 0x24c8355b, 0x77c3a6d8, 0x0e3ee266, 0x944057b0, 0x9ad04652, 0x4d8c6fe4, 0x6e918063,
+    0xeabc28b4, 0x9b5a8eff, 0x63453264, 0x89c67063, 0x952f5cd2, 0x014cd918, 0x6bd6b616, 0x20396cc9,
+    0x549e4050, 0x5d347b09, 0x30044d78, 0x5a0dfc71, 0xa1141bbd, 0xcfcee64d, 0x4d781a21, 0x27163903,
+    0x08e4fe4e, 0x3e514452, 0x16ba7a2f, 0x97d55c52, 0xa4816d1d, 0x666a9428, 0x38247836, 0x2ac17020,
+    0x0a97ae49, 0xea372295, 0x03b9b1fd, 0xe887455b, 0xaba977f6, 0x727dcc15, 0xecba46ff, 0x33386b22,
+    0x1f864d1c, 0xd98979e9, 0x6a30eb07, 0xe264e5bb, 0x9e6eb517, 0x79c5a0d9, 0xfaff2099, 0x7fb4f990,
+    0xfd646adc, 0x7c2039bd, 0x81357336, 0x4b3598f8, 0x3e1d89d1, 0xa97c910d, 0x67aaf7cf, 0x98e57544,
+    0x485b3e97, 0x08f41b95, 0xe93c412f, 0x11d58d56, 0x6228db64, 0x38cbbccb, 0xcc527bce, 0xd8bb7739,
+    0x74fd9580, 0x5d8d6d76, 0x5c042b60, 0x3e0d9de8, 0xaf92946c, 0x26236856, 0xe7488248, 0xe1dee72b,
+    0x8980a3d7, 0xb55ac4f8, 0x3b5a9d27, 0xb7bdc8b0, 0x115005aa, 0xff1a6104, 0x6feb5fba, 0xd41d852e,
+    0x0c896a53, 0xf1a8260a, 0xdc60a224, 0x746a7a6e, 0x8c774bab, 0xff0b9a58, 0x5ce03fb6, 0x7943cec2,
+    0x2408bcbb, 0x673c733b, 0xbd38c034, 0xa4cf1cd7, 0x7839f808, 0x18edf102, 0xbc1e365e, 0xd57e1de0,
+    0xb0eee498, 0xaaa7e86b, 0x8d22c16a, 0xfd83065f, 0x5ecd9929, 0x6bceac82, 0x232ae1d8, 0x494d680b,
+    0x9753cc0d, 0x940f97ad, 0x301208eb, 0xcbbf5117, 0xaa3aca48, 0x28081132, 0xf38979c2, 0xe97ab027,
+    0xd0c1ca95, 0xc5c1af97, 0x5de67b09, 0x2829fbc3, 0xda4d5c17, 0xe03fa875, 0xeff2c4f0, 0x8ccc5711,
+    0xdab4de76, 0x9c860045, 0x3a76f857, 0xc2f96492, 0x06833e56, 0x10396105, 0x45425433, 0x811cba61,
+    0x451197d9, 0x2201f90c, 0xc6827183, 0xabce0065, 0x64e41397, 0x6b1f9f65, 0x4f7b2d24, 0x38e3b067,
+    0x99a7c8b7, 0xf962bb87, 0x447546a6, 0x88bba216, 0x908935de, 0x65d7dedc, 0x1daf54a8, 0xc7cb6a94,
+    0x81f5dcf5, 0x0d7aa1ac, 0xfb632cc4, 0xf56fefe8, 0x8a2d1b0b, 0xdbea6fc4, 0x485b605b, 0x65865097,
+    0x963994c9, 0xf34ab781, 0x3676f48b, 0x8eeeb334, 0xe34d1dc2, 0xb041ef1e, 0xb3c2c400, 0x42a15486,
+    0x1b1fa215, 0x69b88050, 0x2fe9a9c3, 0xcdefb6af, 0x8a43593a, 0xf3ef2706, 0x3295d315, 0x8ad9ebd1,
+    0x87b10314, 0x70f5229d, 0xce5cadbe, 0xb63b0c02, 0xfb440ab0, 0x6d48cc7d, 0xa027fe12, 0x5b399669,
+    0x8dfc7ed0, 0x74770e92, 0x7b2ef26e, 0xa132761c, 0xcb15cd07, 0x9ecb6690, 0xe81c347e, 0x563064bc,
+    0xcbe5789c, 0xc7442560, 0xaf3ecb88, 0xcfc82995, 0x36134cff, 0x24912889, 0xb9908148, 0x28f43737,
+    0xde207ce0, 0xaac56979, 0x92dac19f, 0xd1dc5d7f, 0x0d21bb60, 0x3666e207, 0x357a3965, 0x63e6c2e3,
+    0x2b1d1201, 0x8a512b10, 0xce80900c, 0x8da336a9, 0xcc21c8df, 0x08a251c5, 0x77c723c6, 0x5dab09d5,
+    0xc050892e, 0xa48bb05b, 0xdf493ca4, 0xd4b819a7, 0xa897f334, 0x7ddbfe1f, 0x2426c1c8, 0x7d18f1d8,
+    0xa4f8987f, 0x29a7ad85, 0xa6008e42, 0xd99ebe62, 0x6dfe1799, 0x9756c4b2, 0xb17db60f, 0x68186f03,
+    0xb2ca1f05, 0xb8add21e, 0x2a495468, 0x4c31fb5d, 0x4aa83303, 0xc8308514, 0x488554ab, 0xc0d234e1,
+    0x470cdab3, 0x2000ae38, 0x6679fb98, 0x8e41036d, 0xfa50c039, 0x9194a291, 0xd026e0bb, 0x2720e8b4,
+    0xacdce437, 0x130b9da7, 0xa5562c94, 0xa031f016, 0x10017098, 0x86c0d780, 0x5a150e84, 0xff5b8ef4,
+    0x64a74b6a, 0xfe2ece99, 0x495e1ba1, 0x6155de4b, 0x02eafcfd, 0x98d1bb04, 0x6a059d5a, 0xb162b418,
+    0x8d86eb9e, 0x50f1269c, 0xcc38eeab, 0xe545272c, 0xf3563c3f, 0x99520be1, 0xc6b6a698, 0xe5d4586f,
+    0xaa516978, 0x139ad57e, 0xd1ac09b0, 0xfbf782e1, 0x61deca11, 0xafe8e73c, 0xf0f418c1, 0x82c296db,
+    0x3e9e5ded, 0x61933d8f, 0x42038b8f, 0x44ef712a, 0x1a6e099b, 0x8109cf68, 0x305543b8, 0x60bc1728,
+    0x6d69c7d2, 0xc4e54cc2, 0x9f346bcf, 0x889cfbf7, 0x13dc5b4a, 0x3e4b7217, 0xbb2aca0a, 0xbab7a8a5,
+    0x00000000,
+    0x0e426294, 0x99349d50, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000049039857307708443467467104868809893875799651909875269632 */
+  { 0x00000000,
+    0x11f878e3, 0x2623d153, 0xc5c805ce, 0xb419c149, 0x46815bb7, 0xdce5d9b1, 0x5b3fc107, 0x0496fab6,
+    0xce59c212, 0x91941758, 0x2c9bd1a5, 0x2554ed6c, 0xfd867538, 0x5edefe8a, 0x6e3915f6, 0x6271112b,
+    0xe180ff00, 0xe87fdbbd, 0x6254dc53, 0xb486f96d, 0xede1d53b, 0xd399d3d6, 0x287fed1a, 0x7f7534c7,
+    0x4ccf78f4, 0xd4f319ae, 0x208433d9, 0xfc191fd1, 0xa0f8d2b1, 0x6c521f9c, 0x79e1d4d9, 0x71b1d129,
+    0x2bc637c7, 0x5284abac, 0xe0b23c2c, 0x30436de5, 0xc7ce4acb, 0x5b05a529, 0x01d43fe0, 0x86a5aa22,
+    0x97d2f8e2, 0x373e302b, 0xbc298502, 0xc9e58aad, 0x44c44281, 0x7481467d, 0xad5141a1, 0x569c6dcd,
+    0x50281a3b, 0x4a120793, 0x857dfac5, 0x6d92a37e, 0x1dd32a32, 0xaada6e55, 0x2007075c, 0x674c4b36,
+    0x38de9d06, 0x4d66de18, 0xbc5a03bb, 0xab6fd694, 0x7580873c, 0x84b8a4b2, 0xd374f1c4, 0x55097f7a,
+    0xf367dda0, 0x2e86340b, 0xe74f531f, 0xa3899724, 0x729dbcc3, 0x2c3172be, 0x93c2729e, 0xb3c7fe16,
+    0x7c7938d1, 0x61d8ad9d, 0x819382d5, 0xa1123b08, 0x0ebd1ff9, 0xeb5dc6c6, 0xf6c379b4, 0xbe1a4a7f,
+    0xdf419661, 0xb723ae7e, 0xf486f459, 0x5c5b3ae6, 0x285f4264, 0xe43b7bb9, 0x4f9db0cb, 0x481a57f9,
+    0xa29eba43, 0xbd37367f, 0x3a682199, 0x5df240e2, 0xf35bb6eb, 0x870e371e, 0x5d9efb0e, 0xe3a4f5e2,
+    0x01b9cb07, 0xd3710789, 0x564fc585, 0xd4a87f1f, 0x21f4ae3e, 0x6a694373, 0x9b4fcfe0, 0x21c0e9bc,
+    0xbdc71771, 0x1290ee76, 0xadcb67f3, 0x4cb63800, 0xf1a01694, 0xb63a2410, 0x83080a66, 0xd378e75d,
+    0x6734ea29, 0x24668759, 0x257814e9, 0x9b36eb95, 0x49012296, 0x8113ec4e, 0x1afad011, 0xe99b1868,
+    0x6176c963, 0x39f31835, 0xf4f58528, 0x1662d21d, 0x5e727abe, 0x5196af84, 0x8b85cad8, 0x009f408f,
+    0x7c93f12b, 0xa2be4afc, 0x69176adb, 0x5a9e4c5a, 0x5fbe4663, 0x3db909e2, 0x4a42081a, 0x8af7a5f6,
+    0x78e25aec, 0x5c173b89, 0x6e366a3a, 0x51d41a3a, 0x4a90bf97, 0x63b81d15, 0xc35bec00, 0x71f7b6ab,
+    0xe606ffff, 0x1d439325, 0x6b2c8804, 0x234492aa, 0xf2830dc0, 0x72ddea0c, 0x6d01fa8e, 0x8bb402cd,
+    0x0aaf1ad5, 0xa55ba23e, 0x5ba617ea, 0x511f4adc, 0x86ac4809, 0x1b9c22fa, 0x24153599, 0x5b5405c1,
+    0xec2e8df0, 0x31d13e94, 0x342fc977, 0x7e49bb46, 0x95e0233f, 0xa3d50722, 0x0d05f6a2, 0x486ff43a,
+    0xa4b8b9c6, 0x0918dd7d, 0x642828e6, 0x133a3cc3, 0xa7dfa3af, 0xb947d628, 0x2cc58119, 0x3fda4a22,
+    0x07b70e76, 0xab9c1dfe, 0x47195f6b, 0xa87b66e9, 0x4038a5b4, 0x80a619c7, 0x990a3fcf, 0x5c682c4d,
+    0x7a80655e, 0xb48f2ca4, 0x34496d9e, 0x3405c6b1, 0x6da6e301, 0xebd22104, 0x142cfbf3, 0x0de77601,
+    0x7e89e436, 0x61e31be4, 0xd9ec5e2a, 0xa8833a5e, 0x2f71a9c5, 0xb9c6642c, 0xd6f56d3a, 0x4e537d79,
+    0xcf0159e1, 0xf796d9d7, 0xca66ea07, 0xb685dd9d, 0xfb58ea1b, 0xb0ea4823, 0xe0a73586, 0x49c6f871,
+    0x51fe3e37, 0x2b479e45, 0x1be4357c, 0x288d4cc9, 0x68a0d731, 0xa33ab3b4, 0xfbc6fff0, 0x4b61d24a,
+    0x6553560b, 0x62c659cc, 0x83b169a3, 0x23937f92, 0xa7882b86, 0x48da914c, 0x66d2b11e, 0xc95bb811,
+    0x43c48525, 0xd11bf519, 0xe365554b, 0x1a458289, 0xbf9b2118, 0xb508ddaa, 0xa8c2e0ed, 0x97959928,
+    0xeea0db1e, 0x42d100be, 0x008cb7e1, 0x03fcb42f, 0x51e7e271, 0xef64ada5, 0xbdc70dfa, 0x537a33c1,
+    0x36c2f87e, 0x6eaf2380, 0x03038556, 0x9f5bd4ee, 0xb66e281a, 0xd3a7e5f1, 0x2a7dd291, 0x3d098714,
+    0xace22d5b, 0xc1fbff08, 0x21208623, 0xa16c4a23, 0x0d84c105, 0x254f9f23, 0x31c0aa3c, 0x41c42b08,
+    0x193bb891, 0x31652880, 0xab24fa6c, 0xa7c6527e, 0x370217f4, 0x9400dfb2, 0x8efe4774, 0x4e80040b,
+    0x3522f106, 0x7ef60001, 0x2364c17f, 0xb99003bb, 0xa7420700, 0x6655e72c, 0x01d45457, 0x34349c0e,
+    0x780230d0, 0x588465f3, 0x86ad4c7a, 0xab70d30a, 0x0b2b24dd, 0xf1b45c13, 0xddabb682, 0xc87ae240,
+    0x2e72286a, 0x125c3d8b, 0xa3c57574, 0xc8da6ab7, 0xeeb33e62, 0xba04bb1e, 0x9681ad31, 0x724b3bbd,
+    0x0ddb9c7b, 0x2d66dbbc, 0x6c523cf3, 0x58e87693, 0x3adf8a8f, 0x321a8fcb, 0x35bbb67e, 0x577a657d,
+    0x1d32a252, 0x6cdde713, 0xa8df84fe, 0x13fb220f, 0x6138a38f, 0x0f35c81e, 0x225554cf, 0xe2f7358d,
+    0xc7588424, 0x79c1c541, 0x886e6019, 0x42fb3ef7, 0x27698293, 0x36f543fe, 0x5faae544, 0xcedd64ce,
+    0xbb084211, 0x77c2bf36, 0x36bcdf29, 0x01a084fb, 0x337e9ced, 0xe8d962a6, 0x29dc99fc, 0x1c31ca7c,
+    0x14d8913a, 0xb8ecc40a, 0x48dd05ed, 0x3fee8443, 0xcb66e138, 0x2b5a0df1, 0x55c146d8, 0xe32b4c6d,
+    0xc7089c3b, 0xaf84450e, 0x7fa3f685, 0x95a0375f, 0x084bc92c, 0x0a55ae04, 0x03c44557, 0x36bd72d4,
+    0xd78b5b9b, 0x02e406ee, 0x6a5ae25d, 0xeb77e6a2, 0x64fc3589, 0x7b361835, 0x859ae368, 0x06d9bc5d,
+    0x8ae03121, 0x70c72ad1, 0xad0a8203, 0x4a83365b, 0xc1779ede, 0x8afb60a8, 0xc1ef6173, 0x51bfa83a,
+    0xcdb2d501, 0x731162f2, 0xccfe6e2f, 0x2b80e597, 0xc0b694be, 0x6d3e8f58, 0x2904f2f5, 0x7b4ce0a4,
+    0xdb3d75ed, 0xe7d12b98, 0xde7350c6, 0x78d92985, 0x4d1a2d38, 0x29b503f2, 0x49b4c311, 0x65624f92,
+    0x8908456d, 0x627f308e, 0xf7510181, 0x9a9276d4, 0xb6ca3c81, 0xb754d56e, 0x54bc6976, 0x77439115,
+    0xeabb4558, 0x454b5fb4, 0xa06fb98a, 0x772ee570, 0x60698142, 0x0c9d9994, 0xc8abda60, 0xf78d5cc1,
+    0xa729714b, 0x1d11692e, 0xade8f8d6, 0x385242c5, 0xcb6ae0b0, 0xc9117d86, 0x4df86f53, 0xfb677551,
+    0xc29be681, 0x5b641df8, 0x115aa172, 0x30f4a77b, 0x0f7fb600, 0x65bafddf, 0x0ea6c652, 0x8606d167,
+    0x0191d44a, 0xea94dc3f, 0x7664e0ac, 0x7e2b1096, 0x549770a2, 0x10c20b1f, 0x3d0f2763, 0x66dcc9c0,
+    0x5086fb22, 0xfeb829a5, 0x97b2ab15, 0x36549459, 0xed25dc66, 0xad85b4de, 0x4b6b9a96, 0xcdb9e26d,
+    0x9285f168, 0x9735e6e1, 0xb47d34f8, 0xbd2b05e6, 0x9513b256, 0xea892b56, 0xea3f89e5, 0x960ecab9,
+    0xdb4f89b7, 0x48eca224, 0x17481750, 0xb4bddbfd, 0xebd2b733, 0x1fe1887a, 0x4da5693c, 0x09b2d6d3,
+    0x4429280d, 0x142661e5, 0xc0767f99, 0x90d66a0f, 0xdfc8e8e8, 0xf9a939d4, 0xfc126f2c, 0xbb492482,
+    0x11ef5f66, 0xaac6d84e, 0xebe0ff88, 0x2f7b53c8, 0xd141e83f, 0x9cf4beeb, 0x36e3c5f1, 0x5d7da684,
+    0x655bccc3, 0xc4a80631, 0x3df978f7, 0xe6011430, 0xb00de3e5, 0x347be8b3, 0x55fd962b, 0x4e50c285,
+    0x06ddb7a3, 0xe696e36b, 0x55520356, 0x4bcdeb16, 0x3875c214, 0x667d7d3d, 0x9f848b90, 0xdf878855,
+    0xd8af7ef6, 0x274819e7, 0x25ae7af6, 0x6b9ccc44, 0xdf38273a, 0x8e28fb3a, 0x36309f72, 0x39180c77,
+    0xa6e6a74f, 0xbf469165, 0x98e5cdc7, 0x6edc6f7f, 0x4d3719f6, 0x546696cd, 0x27e5e6df, 0x26641a76,
+    0x2f252992, 0xbcf7dd96, 0x45ae8fc2, 0x20623d6b, 0x89882790, 0xe06840ef, 0x61779f3c, 0x9332d72c,
+    0x2269b98b, 0x53cfac50, 0x0fdcd743, 0x5b133ecc, 0xbac6a321, 0x5f58f1c4, 0x7c484773, 0xa7c49caf,
+    0xf68b0c79, 0x5b7ad5d0, 0x8afb5e2c, 0x196f4280, 0x49b857a2, 0x13c15bdc, 0xf0ccbf1a, 0xdd4cd4c3,
+    0x4da5cd32, 0x66c0c7d7, 0xdbcab841, 0x7ddb5b4b, 0xfd22c9b0, 0xb87821c3, 0x18866612, 0x1b8d04b6,
+    0x58121e45, 0xecf9f523, 0x30835a83, 0x7493bed7, 0x04aa3a0e, 0xc84a64e7, 0x89aae51d, 0xee12d60c,
+    0xb11a8689, 0x335be715, 0x049f9d19, 0x76d23cf4, 0x58f0344d, 0x6cede731, 0x7b49833b, 0x36811dc7,
+    0xf24ab652, 0x32af7bbf, 0x57ad54bf, 0xb4308b7b, 0xe9959ee3, 0xcc8f6ffa, 0x1d64e584, 0x67514977,
+    0x8b40b41c, 0xccf184d0, 0xcb70f064, 0x0febee1d, 0xea8cb422, 0x474ff8fb, 0x0fa8fd37, 0x77e70acd,
+    0x951aaafd, 0x2c40db62, 0xc9ce3d63, 0xf31406dd, 0x5211f955, 0x4bcd1305, 0x4b854f20, 0x3a764d3d,
+    0xcc90b4df, 0x721969dd, 0x8a2fb0bd, 0x0ad0bbc8, 0x85e1318d, 0xf2164983, 0xff597f69, 0x2e3f42b1,
+    0x55ab2525, 0x94ffa229, 0xcfd4e621, 0x8068fde6, 0xef96fcf3, 0x6d3475c3, 0xc6285c22, 0x5035f5d2,
+    0x4e3ebc9d, 0x3a896d12, 0x6988df88, 0x21040c63, 0xc6447f56, 0x05257855, 0xc3011403, 0xd33d81b7,
+    0xcf8a5853, 0x6d4a96a2, 0x0597f774, 0x89597ad8, 0xb15c57e6, 0xb5ed26c9, 0x07b5591a, 0x1c9a1026,
+    0x51b6e8bd, 0x45d689d5, 0x8d4fc908, 0x93ac18df, 0x4f9e7b81, 0x856b6a0d, 0xed8e5af4, 0x5c14b3fc,
+    0x4c028aec, 0xcca23b1e, 0xed3484ff, 0x0f8fcb48, 0x87d891aa, 0x07d30f46, 0x590cb48b, 0x43fba8b8,
+    0x18630406, 0x84d42e66, 0x82639f6c, 0x45274e5b, 0xa80a4505, 0x48b36de8, 0xa5da27ef, 0xdf5de2d3,
+    0x7e6bc531, 0xd2cf8267, 0x3c822511, 0xa1b116d1, 0x71d49f97, 0xd98f4e72, 0xba3c2779, 0xd23fc006,
+    0xbe556cfc, 0xd68c3f95, 0x860e7d91, 0x57b87558, 0x25744312, 0x126b40d0, 0xc34ff45b, 0x9a6033a7,
+    0x77cb98c0, 0xce792552, 0x21f0ffac, 0x7bda63eb, 0x478f9dc3, 0x4b9fe7a3, 0xcc770e61, 0x4862391d,
+    0x8193260b, 0xcd65214b, 0xe001d4cb, 0xfcb062a8, 0x5bde3de1, 0x9d48c24a, 0xfd2fc2ba, 0x899a9e2c,
+    0x868e8dae, 0x0ba66d31, 0xddca2dc9, 0xfb85c8cc, 0xf271cfec, 0xe40bb29e, 0xa2be2d09, 0xe763fdf9,
+    0x2950bd7d, 0x03bab1ff, 0x80f83d13, 0x2dc9602a, 0x6fcfdabd, 0xc320d6da, 0x08d2e443, 0x083106c4,
+    0x043c57d5, 0xb552e57d, 0x7799bc5c, 0x4e38f61f, 0xee5140f8, 0xa4f78ca4, 0xa56ee2e9, 0xc914649b,
+    0x79e30748, 0x4d05a474, 0x5a6e72c5, 0x85dd8a73, 0xbc5ba584, 0xef5a7403, 0x23e02554, 0x305f9c85,
+    0x50bf2b85, 0x3233fa40, 0x3f1d8efd, 0xbfb3c582, 0x7a2c9fcd, 0x065bbe4c, 0x8db16685, 0x1e5ebdf4,
+    0x596521d7, 0xd4b365ac, 0x1578726c, 0x63f3f1d2, 0x83bb8ff1, 0x411e34b2, 0x6212852b, 0x2b709a46,
+    0x217eb03b, 0xac820498, 0x6821f761, 0x982d4603, 0x73c2049f, 0xa5cf12f8, 0x5cc652cc, 0x286891c2,
+    0xd4517682, 0xca0ef1d4, 0xc324c6e1, 0xf13d124c, 0x85f2d68d, 0xcb5b5c84, 0xe73d0476, 0x256450ae,
+    0xda8855a4, 0xcbd8dd23, 0xa43e2a51, 0x264cafce, 0xb048ec78, 0xd0d467b5, 0xe366cd96, 0xd360447a,
+    0xa0d39e95, 0x319e3c93, 0x0635ac6b, 0x1eb2045d, 0x63c03225, 0x61886e82, 0x355d9b8c, 0x00e37abf,
+    0x37b1179e, 0x3ec23450, 0xb7dc0498, 0xde9c36c5, 0xac5ecae3, 0x0a3ecd81, 0x594ca095, 0x0ddb14fa,
+    0xe3e42aa2, 0xbab96a78, 0x78281332, 0x79ae9c2c, 0xbcf5be9e, 0x53eae248, 0xf4726a01, 0x33283a44,
+    0x7fa14f70, 0x7f17e768, 0x8f4e73d4, 0x2efefb6e, 0x423f0fdb, 0x2ef8c84d, 0x8af6d8ce, 0x94aada94,
+    0x271cdb74, 0xa0e0193a, 0x508c7799, 0x194fe04f, 0x061fb7f2, 0xc964b458, 0xb91bfddd, 0x9d811676,
+    0x4a4c06e4, 0x23b77753, 0xd56f74df, 0xee444566, 0x8ef20827, 0x30bb7c2d, 0xae4d8864, 0x430f45f4,
+    0xd88b74c7, 0x3a798c04, 0xe8c6efc1, 0x04b57d7a, 0x84b77c42, 0xa4e25974, 0x714c4f6b, 0x89ecfb1d,
+    0x8ad78f20, 0x0a5dcd4f, 0xca0099ff, 0x49d1a110, 0xf8911421, 0x1ac43d12, 0x0ece8aee, 0x130f6777,
+    0x1bd9a7a7, 0x4a4d2835, 0xf3c38a00, 0x0b643fd9, 0xd3a79499, 0xf7415be6, 0x4167ffae, 0x796b529b,
+    0x447aba75, 0xe8ef94d3, 0x3c59283a, 0xd650da26, 0xa1d4cd43, 0x09775d1c, 0x68126f99, 0x0aba4289,
+    0x2dd3bcda, 0x2b967611, 0x55ebd6f2, 0xde055fd6, 0xe4a899dd, 0x351de4b9, 0x8474ebd7, 0xd7fc0f6f,
+    0x15de781f, 0x58563868, 0x40aeb837, 0x5f8e499c, 0x773d6e58, 0xbf36ca0b, 0x57189371, 0x1f81689e,
+    0x09953307, 0x78b93b70, 0x202da7dc, 0xb2378140, 0xf8912521, 0x12485064, 0x7c6af940, 0x3e954fe3,
+    0x4eb39976, 0x1bce6c40, 0x0bc7e6a7, 0xae8e7e5c, 0xac63c346, 0x3c984afa, 0x07e3bfee, 0x912ce5ac,
+    0xc30e9c79, 0x986359a8, 0x3302e17e, 0xff769912, 0x77142ad6, 0xb4a615c4, 0xa693a698, 0x087a4df5,
+    0xa25d092f, 0x03c89637, 0xbf8f782c, 0xb7d4951f, 0xd021c9a7, 0x86567cb3, 0x98724715, 0x95304585,
+    0x07af6c29, 0xd6eda37a, 0x5d783781, 0xc2caf8e9, 0xcab29ed0, 0x7897f38c, 0x544697cd, 0x6f95ac68,
+    0x54e3b0c3, 0x0d22bed1, 0x30a9c809, 0xd3ba269e, 0x4c583655, 0x377d6e7d, 0x1ac687f0, 0x16f3d50b,
+    0xb47d7f79, 0x5d519dfe, 0x65ea5749, 0x15cc11ad, 0xcc39f22f, 0x6a37ef23, 0x447d9e30, 0xb5a0dede,
+    0xe5fc3186, 0x3e65769b, 0x21edc721, 0xf694818c, 0xee2a172c, 0xdd3aa824, 0x4cfd44cf, 0x1aaa394b,
+    0x05489cbf, 0x6253f99e, 0x32892035, 0xb47d422c, 0x42b83c5d, 0xfc2db215, 0xd06bc996, 0x188b2e0c,
+    0x56a6fedc, 0x784d1297, 0xb8c60a21, 0xf471fabe, 0x601c1167, 0xee632e45, 0x682dff13, 0xcb46a805,
+    0x631d6091, 0x701fd74e, 0x307504fa, 0x2a442f47, 0x3eac323d, 0x4c6af119, 0xab1e2cec, 0xcadf82bb,
+    0x685d7b66, 0x5a95a782, 0xfaac831a, 0x202b2f02, 0x233fd384, 0x5d34cb58, 0x5ca952c9, 0x959cf830,
+    0x18c7d02b, 0x80387a36, 0x57904bdf, 0x4b9e8c28, 0x5c124c81, 0xc896ae2e, 0x63084c00, 0xf8257ac9,
+    0xb067f1fa, 0xb8bccef3, 0x9a678ea5, 0xc5d1e9af, 0x006bbffb, 0xd2a782da, 0x488c7185, 0xebdc0c50,
+    0x76b8b36d, 0x2ba9d459, 0x10c8c267, 0x7433d449, 0x1e4dbe08, 0xa243ac7d, 0x3a36072b, 0xcb1693c0,
+    0xf45244ff, 0xaad8af91, 0xb7c646f4, 0xb4700fc6, 0xe09af9cc, 0xdeaa7afe, 0xc4bcb1be, 0xaa9765ca,
+    0x486751ab, 0x3ca43c9b, 0xb4667404, 0xd2281503, 0xd3fd9439, 0x3b9137fe, 0x7678b997, 0xd56a37a6,
+    0x5ae4491f, 0xae645631, 0x72dd7b83, 0xdeddac52, 0x839010a4, 0x1e8396cf, 0xfbacf759, 0x173871ab,
+    0xbdc346b0, 0xff639420, 0x1b8e5ed9, 0x9b5491a5, 0x6b9c3489, 0x78cb7fd7, 0x332e8715, 0xa28417d9,
+    0x111994c1, 0x7c74e464, 0x6964ec4a, 0xd484e6fa, 0xc71d6b20, 0xb70256fc, 0xc305e477, 0x1b2c393e,
+    0x0308a8bf, 0x3b5a7cb3, 0x1705967f, 0x3af060d6, 0x2847edd8, 0xa3ca8f54, 0xf0e09e8f, 0x647b6edf,
+    0xf69694a9, 0x93bd63e5, 0xc443b236, 0x971fccdc, 0xa9474b5a, 0x45fd7e71, 0x365c1562, 0x458d5a51,
+    0xe0db66fa, 0x70ac9256, 0x166f431d, 0x7dbc281e, 0x5a3d1f58, 0x2ac3e596, 0x3cee7520, 0xd1c77522,
+    0x12bf49d1, 0x761eba61, 0xe93e1d78, 0x7ee81d74, 0xc407b109, 0x6dd7cc4c, 0xa7471a87, 0xcb5f2a73,
+    0x1ebb1875, 0xc572ce01, 0xfe98077c, 0x8777ee0e, 0xf078550a, 0x509907e8, 0x1acb94ee, 0xdaa19ee4,
+    0x00000000,
+    0x07213149, 0xcc9a4ea8, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000024519928653854221733733552434404946937899825954937634816 */
+  { 0x00000000,
+    0x6c504771, 0x261ae1a1, 0xd4cd8423, 0xaa8c4472, 0x06c1873e, 0x4738aa3e, 0xa3f1dd10, 0x194c16e2,
+    0x963256cd, 0x30a3a66c, 0x8ad97e56, 0xf71d9258, 0xda47ae19, 0x6e6358a9, 0xcc8db711, 0x1654582b,
+    0xb2434b9c, 0x65780085, 0xaeb8e0ac, 0x8d47b952, 0x994eeffc, 0x1287c6fe, 0x36fd142a, 0xfba0333b,
+    0xcb27d367, 0xc7c08f94, 0x7ada775f, 0xdfdd4321, 0x1efc58b3, 0x8fdfec0d, 0x760fdb15, 0x2cdf7ffc,
+    0x2089bda1, 0x1347381a, 0x7e05bd2b, 0xb1f31226, 0x5682cf87, 0x50ee8627, 0x2f8c9639, 0xd96b8123,
+    0x55ae9b84, 0x86e16ec2, 0xc40d5c40, 0x7d945f1f, 0x64c2dbae, 0x225e280a, 0x23f5aed4, 0x9cddf991,
+    0xbfca4654, 0x1d765bce, 0xd1dca63b, 0xb2bbe91a, 0x103c1504, 0x08976235, 0xe71a423e, 0xa4f6c46c,
+    0xee712b76, 0xcec77856, 0x325c5f9c, 0x5cc6290e, 0x4e0679ed, 0x52004c1b, 0xad4186cb, 0xe134c5b6,
+    0x60cbe8db, 0x82caa48e, 0xb356e799, 0xce48f143, 0x97a9bc43, 0x3211c101, 0x85c6567d, 0xb4275727,
+    0x77ea949a, 0xbafa2e94, 0x268eef14, 0x0ee3b2df, 0x90bf88a4, 0x18aa4dba, 0xc4f792ef, 0x99716907,
+    0x057d8647, 0xc186fbf4, 0xd104efc9, 0xf4bb49bd, 0x3ecaa8e9, 0xfb8e7005, 0x0b1e3937, 0x89aae85a,
+    0x09387bff, 0xeef13b07, 0xe48c22fb, 0xe5636820, 0x5fc45bca, 0x3924548a, 0xf7f14bf5, 0x3cdcb3b3,
+    0x68bf74bb, 0x4a9baa03, 0x7f59fc5c, 0x4d153929, 0x95ccdd83, 0x22d38777, 0xc04bcd85, 0x1e8f0dcc,
+    0xe670cb0f, 0x368e7289, 0xc3bf71e8, 0xe95987b9, 0x4e680298, 0x43c2a0e6, 0xb9936f3f, 0x7a5ea76e,
+    0x494c7422, 0x765290a8, 0x4f420597, 0x459f3b1c, 0x8558a503, 0x7f5eaae3, 0x94e73eba, 0x939e8ac9,
+    0x4ef6b77b, 0x3fe8ff29, 0x80375a9c, 0x784c92fe, 0xf1388669, 0x2f5189c0, 0xe6262bcd, 0x094f927e,
+    0x5fe40198, 0x769bbd58, 0xdb090a4d, 0xfe8724e6, 0x2246d7f1, 0xc9c070fc, 0x840ce4f5, 0xc2aae265,
+    0x17ab198e, 0xb1957ea4, 0xe70a4ad7, 0xb32384d9, 0xdb584cda, 0x390d1d20, 0x68a599aa, 0xd1198174,
+    0x8eccf20c, 0x797cb3e6, 0xd07f0b54, 0x60aa84cc, 0x187e337c, 0xe4c34baa, 0xb0b68a3c, 0x5c148d21,
+    0x658b2688, 0xbf4f42c7, 0x0d53318b, 0x217834c1, 0xb2c66ed8, 0xe10948a1, 0x601cd05d, 0xf50bddfa,
+    0x2a4085af, 0x8f7918ea, 0x71b2a762, 0x3dd8a973, 0x52e0e16b, 0x348321b9, 0x37fb33e1, 0xad81adbc,
+    0xd3ff73c2, 0x6d9939bc, 0x246fc470, 0x77da0205, 0xced49f39, 0x2e90e1f4, 0xb097f2b2, 0x17b11d40,
+    0xb4e1b658, 0x684f0349, 0xd98ac644, 0x8de2e92a, 0x021bd693, 0xfc3528a7, 0x9e51155e, 0xfca76b05,
+    0x61b88b0a, 0x53029aaa, 0x61bf0956, 0x2db3c36c, 0x675cce3a, 0xda499f52, 0x39c288ef, 0x2e24641a,
+    0x1814000b, 0xd63ab216, 0xc75881b9, 0xaa0c88f9, 0x96cc7564, 0x5c86b2c5, 0x16697545, 0x0711f748,
+    0x0ce50c4c, 0x0d0acc29, 0xcf524a05, 0x25f9c495, 0x5f572bca, 0x2e61229b, 0x2bb440f3, 0x2094ada9,
+    0xc347ca22, 0xf970df08, 0x3a64a789, 0x2e78b6da, 0x52e36b3c, 0xc98a03f6, 0xf67ca7d6, 0x5d7ca557,
+    0xd4f6a317, 0xfee3d9cf, 0xb81298a5, 0x1fa90ec4, 0xdc1b7e07, 0xc1435030, 0xb895ecd6, 0x3fd4ec0d,
+    0x3bbbc976, 0x37440746, 0x70572733, 0xf51cd652, 0x7cea3366, 0x82f7fef5, 0x78338131, 0xc2f0427e,
+    0x0daaac1b, 0xa6dbc5fb, 0xb754f808, 0xd55ef8be, 0xb200f143, 0x023dbaaa, 0xc1c18705, 0xd6d838ed,
+    0x57ef6e70, 0xf33835fd, 0x7cb44c72, 0xa921e1be, 0xab97a4c9, 0xd3ffd568, 0x00bfd26c, 0x0657ba26,
+    0x9842edb7, 0x1c142f23, 0x0c23dffa, 0x21a897cc, 0x84ef9896, 0x49decad0, 0x19f2a9f8, 0x70ba1db0,
+    0x85b75ffb, 0x9268057e, 0x96c391b9, 0x18b93bdb, 0xe4bbd6f5, 0x181517e7, 0xbf1e0a75, 0x9a62b674,
+    0x06efea7a, 0x7a7af061, 0x7df99e19, 0x5a576f4f, 0x773599b0, 0x0fd221bf, 0xd0c4879a, 0x462cc29a,
+    0x6f683530, 0x9bbc8f24, 0x99eba231, 0x4e61f622, 0x615a7ad7, 0x0e1f33ce, 0x06709e72, 0xbe702b1c,
+    0xb6aad5ba, 0x2beded93, 0xce502e78, 0x7a08ca6a, 0xeb5b2b92, 0x3f10a2d3, 0x8f333610, 0x25477629,
+    0x81802a3e, 0x8028bea3, 0x50d5f81b, 0x68749d9f, 0x49e9bcce, 0x91783667, 0x6cbfc3ab, 0x472f8ee0,
+    0xd7223625, 0x306c9615, 0xe2f2bb17, 0x374feb9f, 0xa44ad804, 0x1e51307a, 0xd923b596, 0xbc3516ec,
+    0xad44b065, 0xab7bcf5c, 0xc571c010, 0x5d6aeea8, 0xe1317b2e, 0x72d3620d, 0x1ab8ac19, 0xd1035b4c,
+    0x4454633d, 0x95288771, 0xe6118225, 0xc986c103, 0x8b0919a6, 0xa4efd447, 0x75942fd9, 0xf3658b73,
+    0xa1ac1052, 0x192794d0, 0x65cb29fa, 0xe1389f58, 0x71a55005, 0x84b3ffaf, 0xd2b8193a, 0x3a6c5696,
+    0x6555a030, 0x110d4a56, 0xd9a29f6e, 0xebfbcdc8, 0x41df244c, 0xa79f12da, 0x0d3847f7, 0xf8fe3204,
+    0x0e63769f, 0xd7c4b698, 0xd1bbe8ef, 0xe21de622, 0x29ed776c, 0xa93a45b1, 0xe9e4b35a, 0x50b4b1e6,
+    0x90e28ca4, 0x51a94ded, 0xf8c9ae51, 0xdc86c7c3, 0x834544a3, 0xccb9c77d, 0xa8f93ccc, 0x6e0daa68,
+    0x87d381ee, 0x4a195fb1, 0x8354b67e, 0x7e08ec76, 0x5d342b4a, 0x52e8a315, 0x2644ff14, 0xaeba244e,
+    0xdaaeca20, 0xbc1154b8, 0x5f19e922, 0xa932c724, 0x3d3a7b1b, 0x4abe18b8, 0x901fb804, 0xe67c4cf1,
+    0xb13b5a03, 0xfd88318f, 0x63deb5ce, 0x23008c89, 0xf6d9653f, 0xb09f0e4b, 0x48ed1aa7, 0xfa86d8a8,
+    0xc251ee69, 0xa5a0f954, 0xa7bd9ebe, 0x22e3a790, 0x0dc317d8, 0xded93971, 0x42367f91, 0xec07b169,
+    0x81d3d9ca, 0xac12e776, 0x6bb99826, 0x14449cad, 0xe59d93a2, 0xc6d9b927, 0x9b4a3b75, 0x9a0844da,
+    0x3a97890f, 0x2f39e17f, 0x1ecd0b85, 0xeb44d41b, 0x4c15dffa, 0xfe686df2, 0x43c00144, 0x7f000c00,
+    0x91d9db2b, 0xeabae97a, 0xb74bd611, 0x750ac09e, 0x73832976, 0x158f99ef, 0x0472db15, 0x52fb18dc,
+    0x3d5c4f70, 0xe5dc0fee, 0x7ae77bfb, 0xf02fbb69, 0x39eb9972, 0xd2555f27, 0x8d7ef91b, 0xb601c745,
+    0xbf8d8294, 0x39f6f43d, 0x18679756, 0xe82c4955, 0x9641095c, 0x788adbb7, 0x45028d96, 0x0acbe48f,
+    0x9eafb675, 0xd5561d3c, 0xa80122b7, 0xd623910c, 0x46c3a5a6, 0x283b4edd, 0x9a6827f8, 0x5dac61b7,
+    0x57b2c1c5, 0x42fa78a1, 0x3667f1c0, 0xbc806bed, 0x986e594d, 0x93227fc5, 0x180b1d83, 0x6cbdb948,
+    0xc2c5289a, 0x4a8ed88a, 0xf5068e0e, 0x8d4e169e, 0x2f519ba1, 0x07b4796d, 0x086dce8f, 0xd2a911c6,
+    0x826c75b4, 0x737ba751, 0x41fd7dce, 0xbf27ea7f, 0x131c31bb, 0x2613d5c8, 0x1794a2a4, 0xfe0999f1,
+    0x66beccab, 0x039142db, 0xd6e92d7c, 0x8b233844, 0xe5ab42cf, 0xeea80fd5, 0xa1ecfa9c, 0x4bec6f5c,
+    0x1dfee09f, 0x13947acd, 0x10f8a34c, 0x0a69bbf8, 0x9784d525, 0x8c368b85, 0x1361c1ff, 0xfd776ad1,
+    0xf71511c6, 0xcb1034d3, 0x087416a2, 0x8c22b7b9, 0x1e946d48, 0xd0c18478, 0xbacf28de, 0x8147fd6e,
+    0x86de0bb9, 0x9f67ae20, 0x5b92455f, 0xb5498d98, 0x29f8be7e, 0x28d1a434, 0x1bff6696, 0xaac21222,
+    0xffeeaa10, 0x74e4e16c, 0xde000291, 0xd4fe5d1c, 0xba792ba8, 0x228794bb, 0x23482de0, 0xdf93ac9d,
+    0x5cc574f8, 0x42149ee0, 0x7e556f27, 0xdfaaaea3, 0x7c18d63e, 0x68025762, 0xbd75664a, 0x1c53ac69,
+    0x8431e9da, 0xbc930408, 0x903d0470, 0x6a7f72ef, 0x03b001f4, 0x49570531, 0x9849cb29, 0x563bc8a7,
+    0x0ac767e8, 0xe797061a, 0xb87b548f, 0xc133d3d5, 0x64c1357c, 0x0b68d322, 0x7301ec66, 0x955297db,
+    0x086b8aca, 0x56b885ad, 0x64b7a03a, 0x85f6c13c, 0x10eb2c47, 0xc978e191, 0x15a92c3e, 0xd4755fdb,
+    0x5a648648, 0x59330cec, 0xdffa7049, 0xf090c696, 0xb8ff1c41, 0xee7a65ea, 0x3a79349e, 0xef4e828b,
+    0x435cba44, 0x67761cf0, 0xd54a98f0, 0xd6e09cbe, 0x9b78e7a9, 0x10a9b49d, 0x30f4a9fb, 0x5a895de9,
+    0xf4b9c68b, 0x741d489c, 0x49980968, 0x1955e99b, 0xff095404, 0xca0c6a49, 0x787a1e0e, 0xff935024,
+    0xfe062e95, 0x28e0f6b2, 0x1cf5b002, 0xcc6579ab, 0x889cc34d, 0xa24a3e61, 0x6bdd4e4a, 0xbd57018e,
+    0x90a6a04d, 0x51bb2e1f, 0x600debdf, 0xf6dd5291, 0xfca9b51d, 0x200807c3, 0x6e411e67, 0x5b406023,
+    0xd41717eb, 0xee7cb0c3, 0xf63e38bf, 0x8dc543ee, 0x7e704444, 0x053a61a2, 0x22798888, 0xdb29ec07,
+    0x5985e02a, 0x2ea8496e, 0x8bf58237, 0x80d4bbff, 0x288d9207, 0xa79cfb0d, 0x8eb870a5, 0xea0e27d3,
+    0x5cdc9887, 0xf9466809, 0x740946b0, 0x5a69dad8, 0xb22c5bb2, 0x066d20b4, 0x393bb564, 0x90f0e85d,
+    0x8ea1b3d7, 0xa9621a53, 0xc28f52b4, 0x5c86ce6a, 0x21c26eaa, 0xaca79e9a, 0x4f31d1da, 0xdb36b483,
+    0x58284a03, 0x747105a8, 0x4bef107a, 0x78ac07a8, 0x99581f3c, 0x8ea7d386, 0x51781ab0, 0x30ca5c4c,
+    0xa693f03d, 0x0a345fab, 0x5730ce9b, 0xe92659d2, 0xb4368553, 0xf67e4976, 0xc5abad86, 0xc9d73c78,
+    0x2763740f, 0x5864d7fd, 0x1a8867c4, 0xbaa4b981, 0x759a434d, 0xc4f57940, 0xda5381cf, 0x3050f0dd,
+    0xb3e10b86, 0x329f90ad, 0xbea99eb4, 0xc78d458b, 0x8bc9d0a6, 0xebc011b4, 0x76d8f788, 0x4a3afd4c,
+    0xe8680953, 0x55ddd276, 0x75bf95f3, 0x158cf8c2, 0xc9882b81, 0xa9666975, 0x0fb859aa, 0xbd293164,
+    0x9e19b6da, 0xe044a629, 0xd16988ca, 0x74a14407, 0x4e0eba5c, 0x7f943dfc, 0x743ec82d, 0x2085d5a6,
+    0x0b2085a0, 0xf91297bc, 0xfbf11cf9, 0xef719762, 0x893620d7, 0x715202ad, 0x40dba904, 0xc3ed50d5,
+    0x63579db3, 0x85e29414, 0xb9675905, 0x5e919a8d, 0xf83cb5f3, 0xf916f88d, 0x324cf5f3, 0xd72ba675,
+    0x68a30469, 0xea4f7e88, 0x59c86d8a, 0x14872284, 0x11888c9b, 0xd10a130c, 0x32b0a06e, 0x0d15bb30,
+    0xd281bdae, 0x0a19093d, 0x4c965a6a, 0x9e1fc119, 0xed24aba3, 0xbaae3af6, 0x722fa172, 0x047f8df6,
+    0x655332f3, 0xb34df312, 0x51b7c65e, 0x67e0d602, 0x30c44a09, 0x0fb6a754, 0xfe12c5b6, 0x452acd34,
+    0xd66d9b21, 0x16ba5040, 0x93e42ab1, 0x39463b71, 0x9f76185b, 0xebc1abfe, 0xca8819b7, 0x15cf21bd,
+    0x958060ce, 0x1ed5c7b4, 0x67254e7c, 0x4ab1f46c, 0x1cb3fb6f, 0x33f0096e, 0x96224cb8, 0xc6b30c4b,
+    0x1416d43b, 0xc2a27120, 0x6f7b15a7, 0x224ef8fc, 0x4be043b4, 0xdb7b0d1c, 0x87ea1d65, 0x71aaadb4,
+    0xdf0fce88, 0xca90e666, 0x99f2488d, 0x3d88fe10, 0xfa385002, 0xa611b540, 0x3f1bd3fa, 0xf16a1b2b,
+    0xf3fd671f, 0x577f49e5, 0xf4fe0c60, 0x8090c471, 0x70f97780, 0x0635b9e3, 0x9105847d, 0x3fb9ee04,
+    0x6b33485c, 0x7f16be05, 0xa8b74c03, 0x835a45b5, 0x56fd4942, 0xadfb1ebe, 0xd4cd918c, 0x3e5862b8,
+    0xfb8429dc, 0xaa77e896, 0xf0e6a50e, 0x311af5e3, 0x9d5ad5b0, 0x8355d7a9, 0xbe410e0d, 0x445b7ea5,
+    0x372310de, 0x74cca2c5, 0xb7775c70, 0x8653608d, 0x67875bbe, 0xb4afb4cc, 0x88272fed, 0xa1cab93e,
+    0xa5869f0f, 0x0c4a6d36, 0x75a3fbdf, 0x52d05f0b, 0x2ef928e5, 0x930f6ef1, 0x9c9a345e, 0xe76514a5,
+    0xc2c6469b, 0xd270bedf, 0xa7d64798, 0xce81c868, 0x61ede758, 0x14647abf, 0x5f558865, 0xa9b08d6a,
+    0xa7ec8ed8, 0x57405802, 0xa38cc014, 0x0c8f5d6e, 0xde20c277, 0x9f3088ec, 0x059aee26, 0xfeecdfcc,
+    0x52eef252, 0x2c5d6150, 0xb54d413e, 0x7df6e7d2, 0xa497b913, 0x455160f5, 0x2fc372b3, 0xd518bc15,
+    0x12fd64b7, 0x83c3b9c7, 0xe3a13435, 0x7dc303e0, 0x789b180b, 0x00695ea8, 0xb40939bb, 0xf4cb686c,
+    0x822dcafa, 0xee0b3f51, 0xc1810be5, 0xe6eb15da, 0xadd486b6, 0x5c4be202, 0xfae666d8, 0xfa35df9d,
+    0x4421a756, 0x86ff4242, 0xc570601e, 0xd3a91931, 0x5bed1f8a, 0xeebaba07, 0xc4c312c7, 0x0cdccf8e,
+    0x6efc3ede, 0x30fc2f7d, 0xbef703d5, 0x2bad93aa, 0xfa444abd, 0xf265554d, 0x580851ee, 0x58edb1bf,
+    0x3d0e8594, 0x5dc6739e, 0x03361c11, 0xc343d08b, 0xd6b29a58, 0x7f192cfe, 0xf7d92508, 0xbbb17d52,
+    0xb5db4fe2, 0x28dd08c2, 0x40b375e8, 0x68d638f7, 0x60fb16cf, 0x114e6244, 0x90da66fe, 0x65255ae7,
+    0xfef725d6, 0xbcc182f1, 0x0ab553b6, 0x763887bd, 0x25e2b2d5, 0x2a051f06, 0xa23705fa, 0xe0061e7e,
+    0xf903c7ee, 0x424348c2, 0x5319dc79, 0xe3e995c3, 0xb58d9b24, 0x55652258, 0xb6fbbc86, 0xd37bdd6c,
+    0x04ef9ca7, 0xe2aa2d86, 0x30cc3d46, 0x8ba54213, 0xd7a5632f, 0x92734c49, 0x2c62e143, 0x8cb2c0bc,
+    0x3210b9cf, 0xf633d197, 0x81794701, 0x4622b367, 0x50256639, 0xd3c2215d, 0x36e49839, 0x8564f5ee,
+    0x9bccc729, 0x66ad310c, 0x41fe6550, 0x1d3f9bbf, 0xfd1df77a, 0xcb9c4ceb, 0x3e3beed8, 0x400ef261,
+    0xa8f8fa54, 0xd89396bb, 0x5a8f3462, 0xe03ef6d5, 0xbf281966, 0x22897d87, 0x58ac8942, 0xe20007c2,
+    0xf526e89c, 0xaabe12aa, 0x4d3c9283, 0xe8541073, 0x40ba1882, 0xcea7130c, 0x3651cdc6, 0x99ce7712,
+    0xd5db2dd5, 0x455c3044, 0xf2246f9f, 0x018d9280, 0xa0b938d3, 0x515404b2, 0x165d4fb8, 0x51490bb4,
+    0x8aff71b9, 0x89d8ea7e, 0x26de1dfc, 0xc3d44b5c, 0x8d802b48, 0xb99bf0cb, 0xf612bc9c, 0x849dd665,
+    0xa7642bfb, 0xa35b7ae1, 0x778612bf, 0x94c29653, 0xc34184d2, 0x82d0e01a, 0x751ba452, 0x57c3ace9,
+    0xb99d5b6e, 0x4d62cd95, 0x0cf7f3fb, 0xaeb17c4d, 0x8cd9961e, 0x54f7a776, 0x8818dc54, 0x18c06863,
+    0x3350835f, 0x4103a46d, 0xc7690e5d, 0x1ad01dd1, 0xa3f28d6e, 0x27aeba9a, 0x541e9d6c, 0xd3f83768,
+    0xdadf679c, 0x1f000a9c, 0x5e6ce675, 0x8eac7f56, 0xfc12aab5, 0xeda0fde5, 0xdeef2c73, 0x96b20cb7,
+    0x7798e617, 0xc3a2180b, 0xd2b8b2e9, 0xd7cdbcfc, 0x6811f728, 0x0fba4665, 0x061e8097, 0x5b180709,
+    0x2a03a26a, 0x9549b401, 0xe7740294, 0x97015866, 0x5379ecab, 0x36cd1d26, 0xeae21a7a, 0xd5358580,
+    0xe75a5920, 0xaf4ba045, 0x448ccc59, 0xc4078364, 0x729e8e88, 0xd7d56379, 0x223657fb, 0x9944651a,
+    0x243c1606, 0x8876e751, 0x60007c3f, 0x9d0f8d4b, 0x478a6890, 0xc58e4c7c, 0xb7cf0d7b, 0x2d28c323,
+    0x1bc6b2b2, 0x0e6aac76, 0x033731e0, 0xbcbfe893, 0x73c9acad, 0xf6d702b6, 0xf265a64e, 0x628b1c80,
+    0x3e9405cc, 0xdca0d6e3, 0xfeb19561, 0xd960eaa9, 0x1524d98a, 0x7a837684, 0x0c723572, 0xf9477f1d,
+    0xebd58d99, 0x5c04bbee, 0x7ed0f5b7, 0x9a1a67ae, 0x5e9cb502, 0x257d9f9e, 0xf94a6246, 0x37f050f6,
+    0xc5caeb60, 0x4e6365e0, 0xb6cd2437, 0xc564e1c1, 0x637eeb65, 0x51e2ec55, 0x1be83be7, 0xd2e17def,
+    0x359fb0ef, 0xd9fa4019, 0x8282bf7c, 0xcfd92b67, 0x9fd313e9, 0x385b6c63, 0x617c8cd5, 0xa7495f5c,
+    0x00000000,
+    0x039098a4, 0x664d2754, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000012259964326927110866866776217202473468949912977468817408 */
+  { 0x00000000,
+    0x0e5958c2, 0xa8ed9be3, 0xcf92cfeb, 0x2b85451e, 0x1bbe72f7, 0xfafb522b, 0xd857e3ac, 0x6f0818fc,
+    0x5c93e237, 0x360cfe6b, 0x526726b7, 0x749a7955, 0xc14b6248, 0x4564ac03, 0x424ef24f, 0x75c79bf3,
+    0xcad6fa0c, 0x18bfe895, 0x19516957, 0x6b68cbc1, 0x232c3a3a, 0x3bb868d1, 0x6348cb5f, 0x30f96758,
+    0xd7947903, 0x004b92dd, 0xee18a3e2, 0xfed6f6ac, 0xf6481eb4, 0x32b9f6d9, 0x5d79a34a, 0x7bcf41f6,
+    0x9943e7ab, 0xbea60c77, 0x435b6b22, 0x126018bd, 0x9f23567f, 0x9cb8ffa0, 0x2da01bc4, 0xdb32f657,
+    0x0e52d2c2, 0xe51b04eb, 0x7c1a7f9f, 0xf2a89da2, 0xb348308e, 0xf19510a1, 0xe4f783fb, 0xb56fb280,
+    0xc2ecc62a, 0xce304564, 0x62b2f017, 0x401dbda1, 0xea7f61f9, 0x8ca149bf, 0x01593ca3, 0x1cbc5a16,
+    0x312b943e, 0x3890b605, 0x9e2df46c, 0xda811cfb, 0xf30a43b2, 0xfaac7bb8, 0x68d1acaa, 0x8b12e973,
+    0xbf93a101, 0xfae1baed, 0x045daf98, 0xf7ec6d08, 0xd2b0b8a3, 0x6ea45503, 0x34a93e07, 0xd4317432,
+    0x0a53041a, 0x81ca5112, 0x6c25cbc3, 0xf05103e2, 0xd8834a54, 0xfdfaa337, 0x31a8ff49, 0x384bc197,
+    0xf09d2dab, 0x10b6fe18, 0x79564665, 0x58cdbcc3, 0x48187612, 0x9e9dc2f4, 0x2bdbabbe, 0x93656b5d,
+    0x04b233a0, 0xe25ce373, 0xc1f87567, 0x63f4a603, 0xdc9ad1e3, 0x1972ec99, 0x6541fa9e, 0x19d87b3f,
+    0xa964b7af, 0xffc7e9ef, 0x7ff578dc, 0x23810449, 0x2222c89f, 0x2165b3eb, 0x606313a2, 0x2c6dc4e1,
+    0xdc2e137c, 0xf8838dd1, 0xc24d8494, 0xe03e34cd, 0x681c9410, 0xfb6ec03d, 0x9f618f70, 0x7f9e612e,
+    0xff32c63c, 0xac9a6efd, 0x290765ae, 0xf99cd18e, 0x8c77931f, 0x8c24af26, 0x76e22f00, 0x17018d87,
+    0xfce8648e, 0x2df05e91, 0x60c8d735, 0x4a6ebc9a, 0xc6003d1b, 0x87a1414b, 0xfb8ed1d8, 0xc3362f98,
+    0x3e388145, 0x4c5e7522, 0xd7a4f804, 0x762bf2ec, 0x2ffe3e0a, 0xfd70a7e8, 0xdc64fda4, 0xcea64faa,
+    0xbfb78eaa, 0x4a225822, 0x56898612, 0xd63e26f4, 0x7ab9682f, 0xa08da47d, 0xaab6534f, 0x3d4b36bf,
+    0xc3e56d67, 0x3234c29e, 0x8b5c1eeb, 0xc5de9ef6, 0x5e765c06, 0xb7c0d885, 0xa9a59405, 0xde0dfb78,
+    0x75e493a3, 0x9ea09fc3, 0xd5cd4e42, 0x685f7dd4, 0xb0279ece, 0xb4ea1408, 0x34f367ef, 0xe90eb967,
+    0x7139234d, 0x7a931ed4, 0x4f219254, 0xb458870a, 0x51846292, 0xd7d6f273, 0xd471fdf4, 0x59ad2cbe,
+    0x6c67cc83, 0xfb72af1e, 0xfa723c5c, 0x896a9fc9, 0xf7a7a746, 0xefd420d8, 0xe9511800, 0x35c03cdd,
+    0xd4d61455, 0x39c1b0e8, 0x44c0685c, 0xcb7eb01b, 0xa8ecaa66, 0xe95d5891, 0x117934c8, 0x580f96f1,
+    0xe1018d22, 0x8e19529d, 0xaeff2cbb, 0xb95a21cf, 0x4eccc3e3, 0x64d9686d, 0xc161e592, 0xa629fab7,
+    0xd28779e2, 0x109c9378, 0x0d052713, 0xabda81ff, 0x53fcaa85, 0xb005a085, 0x36e39820, 0x5cd1d95f,
+    0x9a37effe, 0xe34ed0e7, 0xb3b10921, 0x106031eb, 0x0d4cdf92, 0x54b93598, 0xc41e7b2e, 0xc0c918bd,
+    0xe5ca13f7, 0xad8da44e, 0x52fe7478, 0x050cedf6, 0xca2ee1aa, 0xef32cb01, 0xcd6226b9, 0x45e4c64f,
+    0x697da813, 0x4f8b3670, 0x38252b87, 0xe2d3b7f9, 0xb2d307a9, 0x975d5ab4, 0x82dfa64a, 0x3ba99d62,
+    0x352fcd54, 0x1fc50e14, 0x0e86fc2e, 0xbb11a960, 0xf1409ccd, 0x35bef5e4, 0x4f37e521, 0x6c3731c1,
+    0xb661c4c6, 0x6f0673bc, 0xe0dd0187, 0xcd9d4cd9, 0x72459a17, 0x6d97e46a, 0x4f746bd8, 0x6f720bbe,
+    0x55197578, 0xd73ef4e3, 0x3d622168, 0xa0206e53, 0x81066e43, 0x6f662b9d, 0x107c0543, 0xfe39c76f,
+    0x595d5486, 0xbf409a8b, 0xbaeeb199, 0x6336a993, 0xe3482933, 0xe826eb4b, 0x533a6bf3, 0x52e97e81,
+    0xe532b9c1, 0xb582dd87, 0x12799107, 0x7eda81be, 0xba655b33, 0xf520adf4, 0xc52d35be, 0x007c6953,
+    0x538c92ad, 0x1e6f76c2, 0xf27778e9, 0xeeefddc9, 0x52096dc2, 0xdc4dda79, 0x5513bdd6, 0xfc854514,
+    0x44db402d, 0x357b8c54, 0x9a4f071c, 0xd1eb63ee, 0xeb64bcc4, 0xe49b4902, 0xa1f15b64, 0x851c280c,
+    0x855c4eee, 0xf4cd3c38, 0x8d3d97ff, 0x2bb17b5d, 0x9af6684c, 0xf20e1504, 0x583756db, 0xe829ad10,
+    0x9fb490e4, 0x554bcbe4, 0x1654f552, 0x24745b86, 0x43d8d6ec, 0x41f77db0, 0x208d67c0, 0x095b4d7e,
+    0xb0dad657, 0x3b47441c, 0xf56d083d, 0x334ac712, 0xb736f107, 0x5b7bdf1e, 0x7a143e0b, 0xd026d6ed,
+    0x3e03094e, 0x3e57fa0e, 0xd9ac4da2, 0xfdee8320, 0xdb154c38, 0x1aa1fb7b, 0xaac8c9b5, 0x82ece41a,
+    0x0a1ca4e4, 0x9dcb8f7b, 0xc0dc90cd, 0x2285bd17, 0xfa83458b, 0xea06e9a6, 0x09d937eb, 0x54e5988c,
+    0x45dd8eca, 0xa91852cc, 0x81311be4, 0x35853a49, 0xa416ef89, 0xcd803a6f, 0x122db22a, 0x481ac221,
+    0xf6ea1cbc, 0xdd87e2e2, 0xf0c6936a, 0xebd2a857, 0x447a5525, 0xb27f31fe, 0x9fc63911, 0x9064367a,
+    0x991701ac, 0x911abd21, 0xe2f15608, 0x8d0307e4, 0xf043edf5, 0x439350e3, 0xdaa8a683, 0xf79c436c,
+    0xa03eaabd, 0x9508a4f8, 0x522e08d3, 0x714136bc, 0x52edc200, 0x4d974e91, 0xc2c355c6, 0xce9e9503,
+    0x48fb457b, 0xa8b6028f, 0xf1be5047, 0x03897791, 0x6df52cae, 0x9bc100ff, 0x5daeb929, 0x54737b85,
+    0x454369ae, 0x1b09f26a, 0x3dff65f1, 0x87c55cbb, 0x4bfe3dff, 0x2e988344, 0x4690e6be, 0x0cdf11c8,
+    0xc31bdd29, 0x7b98206c, 0x75cfaa9c, 0x6d57e726, 0x81367d24, 0xd97b985f, 0x2c4b3dd8, 0x1ab058b1,
+    0x31b2dcf8, 0x14ec7816, 0x0ad8c93f, 0x99717a8f, 0xc15393c9, 0x23a2136f, 0xb16b4133, 0xca0a24b7,
+    0x099480a6, 0xc6852406, 0x12d25a76, 0xb30d76a1, 0x595a0a4d, 0x21c2eebf, 0x24549a63, 0x80298e62,
+    0xee0e19d0, 0x3d65bc3a, 0x63bd2fe0, 0xe1555a7d, 0x152e4a2d, 0xf7cb5583, 0x432523de, 0x32b2852e,
+    0xa63fbef3, 0x54186910, 0xa9eef7ae, 0x333f3281, 0x8c75998f, 0xd215beb6, 0x5f86dbf6, 0xabfc1457,
+    0xe0f6e79e, 0x278a2ec4, 0xec3c5e9e, 0x17a4214d, 0x1a1d622f, 0xf21696f7, 0x483c3adb, 0xb6065b70,
+    0xe40392ca, 0xbd2362f4, 0x62cede65, 0xea683076, 0x60c89f35, 0xca7d90a9, 0xbfcd9315, 0xd10ab8f9,
+    0x0e19df91, 0x2b854913, 0xdfae6652, 0xaf6aa22c, 0x447771f8, 0xc317fce7, 0x5c594cd4, 0xd31e740c,
+    0xb9aca4df, 0x9e86e2b6, 0x59898d40, 0xb276ae89, 0xb828a158, 0xd0b87ba4, 0x8c323969, 0x623f288a,
+    0x21b6eafa, 0xb255834f, 0x05957b27, 0xaf732ee1, 0x6dd2b34c, 0x9008bbef, 0x6cd5da65, 0x49e34f78,
+    0xca9aa414, 0x350b0056, 0xa44674e9, 0x4c22e8e5, 0x6225a6d4, 0x539239b3, 0x9192e2d5, 0x3879f851,
+    0x7d0de2ac, 0x18a6d7b0, 0xdf10212b, 0xc1c4d461, 0x39c2bf8d, 0x42bd2a0b, 0x401e0603, 0x53985183,
+    0xde7ff958, 0x05005d6a, 0x1a3952ea, 0x6f5e7573, 0xb9af4e02, 0x0e117b73, 0xc09eec4c, 0x102b0909,
+    0x70e3e1ef, 0xf9a66ee2, 0xf1c3e677, 0x7dc2408e, 0x16a54ac0, 0xa24999e1, 0xe910986c, 0x6b872d8e,
+    0xc26b08e9, 0x4e1d771a, 0x572afe9c, 0x0f3af762, 0xd7c5c39e, 0x5a7eeadb, 0x88ade726, 0xbed3d2be,
+    0x2ff3b767, 0xaa5774f7, 0x55fe687f, 0xad74a492, 0xedae2792, 0x599ef1eb, 0x45f7cb98, 0xe3e2dda3,
+    0x130e1faa, 0x094b0e6a, 0x5796b104, 0x67d94fa7, 0x114929b2, 0x7f178566, 0x60961f51, 0x9e04c3aa,
+    0x963f0b4d, 0xd468fdef, 0x13dece4a, 0x25da8a03, 0xb267da57, 0xf9dd4353, 0x16157ab9, 0x1a678219,
+    0x8b06d1c4, 0x425bc315, 0xa16902bc, 0xe39ec118, 0x1416da74, 0x16f12347, 0x47c036f3, 0xee27bf52,
+    0xada12ebc, 0x515821e4, 0x35c2a6b3, 0xc9748ab4, 0x3cde8129, 0xb63d898b, 0xb5e0d06f, 0xd8977323,
+    0x647a4614, 0xedb607d8, 0x9cc1ef63, 0x6efe1c51, 0x7a26c000, 0xf072f20c, 0x34d24524, 0x0c24e0ed,
+    0x0bb379ad, 0x76fdf471, 0x75052b8a, 0xef4c3211, 0xbc298140, 0x4ffd4bfc, 0x2e599034, 0x921fc55b,
+    0xdb966195, 0x5f37d538, 0xd5ecffd5, 0x7b43a32b, 0xb568955d, 0x0f790706, 0xfe742da6, 0x95bb47ba,
+    0xb2275401, 0x28571652, 0x2d447385, 0xb51b20a4, 0x0ffc8e66, 0x7366c719, 0x6dcd0257, 0x9c3d5c47,
+    0xef9ce671, 0x8d170472, 0x9d8dc4a1, 0x9087a6d6, 0xc67cf656, 0x828f2ff2, 0x2722e52e, 0x2218064e,
+    0xdcf49116, 0xc36f2d03, 0x01803bd0, 0x25843529, 0x70c12ece, 0xb6ad54dd, 0x42190c23, 0x0be73fde,
+    0xd91dbc81, 0xf1dc3f4a, 0x9f2e556d, 0x43b869d3, 0x30fc6c38, 0x93b26c02, 0xfea990a0, 0x0a16a0a3,
+    0x7d18461c, 0x2c2fe7dd, 0x43aacb59, 0x4006a78e, 0x23602937, 0x7112f93e, 0xd54c72d1, 0x245400f1,
+    0x40dc83ec, 0x9316e2c9, 0x359d302e, 0x5b29607c, 0xefa51bbb, 0x20d933a9, 0xd7938cb5, 0x19cdeffa,
+    0xe7d9941b, 0x1c037d5c, 0x719be4f1, 0xccbc1d61, 0x85b65e06, 0xa86e673a, 0xed8720e2, 0x15f66969,
+    0x406b9ca6, 0x64cb0c8b, 0xa22432cc, 0x7622ebdc, 0x70bc8af9, 0x67b950aa, 0x0c3c0ca1, 0x2c71278b,
+    0x06c4972f, 0x13da5835, 0x1afe967c, 0x097dde27, 0x8ab8cb6b, 0x726a84b2, 0x5cbb2c4e, 0x05631e10,
+    0xd13f1b28, 0x00703e51, 0x227f4344, 0xf0d4426f, 0xddc9e7d6, 0x0e370080, 0xea7db089, 0x5856fc80,
+    0xdd535b24, 0xc0679415, 0xc1619201, 0x1185dd57, 0xc8978f38, 0x3596bde2, 0xe120c003, 0x770de189,
+    0xf4675004, 0xe497930a, 0xa2ff85d0, 0x9f1def63, 0xe1b9c355, 0x11cf0a82, 0x0e02d61e, 0x18227d05,
+    0xd500cd8c, 0x223a4f65, 0x34bf71d5, 0x208fbc9e, 0x48e81d9d, 0x6d84b7cb, 0x75461806, 0xf49e4c9c,
+    0x70fb7446, 0x89673c3a, 0x26a1a8bf, 0xcfbebefe, 0x8ef2fc78, 0x0542a285, 0x44047041, 0xa5128d05,
+    0x0fc6ebb3, 0x3a44ca6d, 0x741a0e23, 0x3935eb0e, 0x7537cf24, 0x37565625, 0x4a0262bc, 0xedafbded,
+    0x0d5c3e63, 0x6d74ada3, 0xe77f3267, 0xfccb87ab, 0x250cf62c, 0x5d46a46e, 0xde3c69bc, 0xbc309cb3,
+    0xed21f0e9, 0xce0cfeb8, 0x036ee557, 0x9a2b75db, 0x0a57a8ff, 0x5c3799ff, 0xac3555ad, 0x8a9e6662,
+    0x1ab9faa7, 0xde62e7e3, 0xc6882d4c, 0x4cb25b13, 0x63ab0b22, 0xd35b327d, 0x83df72bc, 0xa20f2e03,
+    0xec2fa6d0, 0x357b7639, 0xbe75db68, 0xe67a7f66, 0x2681f819, 0xd67e19b0, 0x31820ca0, 0x2b7ddb59,
+    0x903815a7, 0x2b2e24fd, 0x1108cb3b, 0xd65691b5, 0xa58efc54, 0x7cee0164, 0xe1bd94bb, 0x87257942,
+    0x9fd38f61, 0x30e27c27, 0xfdd6cf4b, 0x555318a8, 0x9f0b0a89, 0xde8095b2, 0x3e5dadd0, 0xe75b6b71,
+    0xc6c2241f, 0x98cbc192, 0xea1038dc, 0x7a7925cb, 0x4e98d0af, 0xd5b5bb13, 0x49f6fc97, 0x4e84b99f,
+    0x4c9d7869, 0x002f6dbc, 0xc0607d88, 0x7c5a828b, 0xf51fc0fd, 0x91e45b69, 0x0dffd385, 0x402ffeb1,
+    0x85b799ef, 0x67ad8558, 0x91f5257d, 0xd4ba9036, 0xc20388af, 0x258e8eb5, 0xbee5f2ab, 0x9af1ab00,
+    0xa02d93bc, 0x15f736d2, 0xff49684d, 0x0736c92e, 0xeebc89dd, 0x727e358d, 0xd63763dd, 0x43f5ef96,
+    0x1f15a0b5, 0xb356765a, 0x110c3682, 0x066f02ee, 0xfd74db92, 0xc331ed5e, 0x409094bd, 0xf39b3782,
+    0xa5d0dcbe, 0xbe6ef451, 0xe8b19eeb, 0xa720cf51, 0xbaaa9e90, 0x47399f43, 0x2b943f90, 0x19440ca4,
+    0xac4e8d2d, 0x564f293a, 0x3ebebf3a, 0xc0d53983, 0xd6b345e5, 0x5ac548b3, 0x7d987481, 0xf5192529,
+    0xfd300215, 0xb551cfbb, 0xe2663cfd, 0xe0ce52e8, 0x0f6b4eee, 0xf27b4a06, 0xce363a66, 0x62d7e562,
+    0x38805925, 0xe234d5e6, 0xa9b653d3, 0x5ba5fa91, 0x5a1b3daa, 0xbfe5c10a, 0x9ef1ff22, 0x20b9c98d,
+    0x972e2eef, 0x00712aad, 0x44ca6946, 0xdac24f73, 0xcba144b3, 0xa933d812, 0xb94b2b55, 0xc27cc0d7,
+    0x51b4d504, 0x60850922, 0x880f402a, 0x66230746, 0x5e0446cc, 0x0785fdc5, 0xf7c3868c, 0xd4aafcfd,
+    0xd6e9087c, 0x99ef5f63, 0xb477c6b3, 0x288f51c5, 0xc5d99c88, 0x5d2669d9, 0x1b001755, 0x4c1438a8,
+    0xa465f89b, 0x7ef76248, 0x6b0642b6, 0x77968633, 0x97a5aacd, 0xb0a7ed20, 0xeea29036, 0x09a84719,
+    0x86eecf5b, 0x93747d5e, 0x3d327c17, 0x0af3aef9, 0xb52f1f68, 0x4dfbdd34, 0xd3aee0bc, 0x85607476,
+    0xced62f97, 0x85113d6c, 0xe7081bea, 0xfb344050, 0x2d23930d, 0x89390402, 0x61e63c21, 0x54a4701e,
+    0xb4392980, 0x5d314761, 0x88e08583, 0x15ee9af8, 0x1f5b1d83, 0xcdbac44b, 0xfdc49e1f, 0x33f2c6ad,
+    0x85fe9bc9, 0x5bf00e0b, 0xe0c6e3e8, 0x6a558017, 0xd336745d, 0x5deeb98f, 0xbf867a38, 0x6ba8a756,
+    0x5e268079, 0xc80d2743, 0xe25ebcdc, 0x4c175126, 0xfacc0ae2, 0xf915cc76, 0x6c862843, 0x554017a2,
+    0xc6436e81, 0x276b610d, 0x53aff0d7, 0x631a4141, 0xae191ae8, 0x6feafe9b, 0x40103ec0, 0x8c381617,
+    0x8c49b77d, 0xb2ff4b5a, 0x1a220f5a, 0xed78c3c7, 0x1dd6d9c8, 0x972c0936, 0x462a5297, 0xb0c6e4e5,
+    0x063af257, 0x8dd97afa, 0x312a9a93, 0xf30fe049, 0x4a73e4d1, 0x11d4a64b, 0x3e6b6ad8, 0x790ca879,
+    0xe440230a, 0x7d0a2bfa, 0x1ea4d883, 0x35c1ca85, 0xbb316276, 0x9a447cbe, 0xf74d5314, 0x22dfe4a6,
+    0x033f99ca, 0xd17f496c, 0xc2a17c3d, 0x99ccd3a3, 0x94bedc42, 0x27e89cf3, 0x002359ec, 0x7e9fcfdf,
+    0x95076bee, 0x795e95d7, 0x0b991c2b, 0xc519bd46, 0x66cf9022, 0x39cf99f3, 0xe3b619eb, 0xc1ae195c,
+    0xc829f206, 0xfb66c6f7, 0x17448810, 0xd9487e25, 0x6e8a6f9d, 0x0a6e53d2, 0xa2bd44e1, 0x59fcb346,
+    0x824f5d38, 0x889e9dde, 0xaaecedf9, 0x3e88c3af, 0xbef9d1ba, 0x672dcbe9, 0x4c8b1d99, 0x273399eb,
+    0xad61dee9, 0xb0559a7e, 0x09232ebc, 0x4d756c4e, 0x1667f2ed, 0x61637d82, 0x91e3795c, 0x9be3782e,
+    0xd57a7dc8, 0x8be69f17, 0xd8c6ade3, 0x8e63ad3b, 0xf3616753, 0x689981a6, 0x8a79ce08, 0x67442a6c,
+    0x3dcc1c5e, 0xb70a2250, 0x8c177a67, 0xb4c579c9, 0x6b426b54, 0xd443f97d, 0xafd4fcde, 0xd85e83b1,
+    0xaea9c437, 0x8eb24beb, 0x23582f3b, 0x931fba5a, 0x43764873, 0x38c54375, 0x25bc5599, 0x87973350,
+    0x60419ab2, 0x1e39095d, 0xe3d8f8f3, 0xe6eeb5ba, 0xfbd3f7ec, 0x00894b38, 0xd1b000c8, 0x6a749f47,
+    0x326cd4b0, 0x1c2df275, 0xdc1c0223, 0x17aa94c2, 0x6262a691, 0x21bc64fa, 0x1187b10e, 0x9b1a73a1,
+    0xab97ccfb, 0xd81ec669, 0xaf0dd793, 0xf5184aae, 0xca86ac1a, 0xf5040348, 0xd1bf38b6, 0x2580b532,
+    0x05409e6d, 0x2d26b68c, 0xa7c5b1e2, 0x3a1cb9a7, 0x4a06d4bb, 0xc347b686, 0xc9572725, 0x114b94cb,
+    0x5e5da289, 0xa68d5ea9, 0xda544f88, 0x23be97fa, 0xf224739e, 0xe1869f83, 0xc7525c38, 0x29aafce3,
+    0x1922f57b, 0x9d4c946e, 0x26f193f6, 0x1dd496ef, 0xe8960f0e, 0x3c0a0497, 0x50ef3e30, 0xcef16343,
+    0x00000000,
+    0x01c84c51, 0xb32693aa, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000006129982163463555433433388108601236734474956488734408704 */
+  { 0x00000000,
+    0x3b021ace, 0xa7a769a4, 0xb2b999de, 0x25f2e0e8, 0x7613d81f, 0x6317d3cf, 0xcbd1e0d2, 0x73106700,
+    0x691df00d, 0x8c7b3187, 0x4ed0f829, 0xe27134d4, 0xd5a73ada, 0x3585479a, 0x86385366, 0x9515998a,
+    0xfb9c4d1a, 0xb867dc65, 0x882ad62f, 0xa069b2fe, 0x7f2d2f24, 0xcb33e3b0, 0x6499fa23, 0x1bcbf2c6,
+    0xb291cd74, 0xd3e285e9, 0xa143c389, 0xfa3e988d, 0xfcc0fca2, 0xf5a07d04, 0xa063334c, 0x9eb29fbe,
+    0x77b1a616, 0xc75de53b, 0xb8e1f339, 0x123192f5, 0x729029a5, 0x35e5c6c0, 0xdf9e5138, 0x2ebf33f7,
+    0x01e3f78a, 0x8edd0bde, 0xa0130aaa, 0xb35d9b0d, 0xe54d4904, 0xad53916a, 0xb0c6500e, 0x6a279ef0,
+    0x065ea858, 0x5a796cdb, 0x4c37c5a9, 0x42ea0b93, 0x01644f08, 0xbda23db5, 0x82c127ff, 0xd0d60b29,
+    0x32b8b962, 0x07765870, 0x9369d531, 0x9f814727, 0x12ad5662, 0x03322b21, 0xa7ab8087, 0x825c8fef,
+    0x8052af5d, 0x60c690c0, 0x2c994224, 0xcb2fe71c, 0xa32abf95, 0x6280415c, 0xf759640c, 0x5a5093d1,
+    0xca14d3cd, 0x8c17265d, 0x1b7da190, 0x105f08ff, 0xb6a1f40e, 0xa8deb5a5, 0x424f9632, 0x2b2f6740,
+    0xb319ce6c, 0x375126c2, 0x27a21519, 0x1fdf4af8, 0x7dfcae6f, 0xd7739d5d, 0xc9e146e0, 0x770a7047,
+    0xfd5a42e3, 0x227194d9, 0xf409685b, 0xea75fe23, 0xb184a3e2, 0xefc80a3a, 0x2d743f48, 0x79e66476,
+    0x47a411a0, 0x4841db2c, 0x041b2f1a, 0xede807b7, 0x6da092b1, 0x60cb44c4, 0xbc0e5bf1, 0x13a0dbc1,
+    0x8031dcc9, 0xbf092027, 0xf79a6bdf, 0x7da6fe83, 0x32327760, 0x2dca6c2c, 0x56903757, 0x4e4c5909,
+    0xd73415c6, 0xa70231e0, 0x37f3b2d1, 0xd6dbdc77, 0x3fc6562e, 0x87da2974, 0x5634c2a7, 0xb28d2718,
+    0xe5dea82e, 0x8ca8bf93, 0x7d7046d5, 0xb53730ab, 0x7b81f0cb, 0x1c1f1243, 0x670bb79f, 0x2f8c617e,
+    0x18f3fedd, 0x2d28ea3b, 0xbfbf593d, 0xf9acb6aa, 0xeabae951, 0x4f92ae79, 0xe6fc0eda, 0x103ae0f9,
+    0x8fd75436, 0x3afed40e, 0x6f10d5fa, 0x03c22ce5, 0x4fa0052f, 0x7c3758e2, 0xf3f08cd6, 0x404aabcf,
+    0xe2eef6cb, 0x5ea22920, 0x1f793f27, 0x315f1735, 0x8e6fc972, 0x062796b9, 0x6b79d119, 0x8f6cbc38,
+    0xd2a3399a, 0x136f58e7, 0x03c8ca94, 0xa0e52b66, 0x19aa2835, 0x2ecca97a, 0x1c36782c, 0x05c45237,
+    0x5d015418, 0x17432ce3, 0xcec74529, 0x90c257b4, 0x75aa5b5f, 0x0abf9946, 0x649f5863, 0xf00bed16,
+    0x66fa5ad2, 0x49441789, 0x348704bc, 0xb119f0d5, 0x6d98a460, 0xf766a79c, 0xbe41a84b, 0x6d9d5903,
+    0xca9273b1, 0x8fdc2099, 0x8054bc0e, 0x7d2cecb5, 0x7b09165f, 0xa2bf0e68, 0x260e13fc, 0x98d48e28,
+    0xb2677310, 0x793b78a2, 0x03ef6fea, 0xe0e788d5, 0x502ed62a, 0xd80c55d4, 0x5e344eb4, 0x18efa0e3,
+    0xa7eb31a3, 0x50887bfb, 0xa23a163a, 0x0f4ed3de, 0x89b23684, 0x0dd6620a, 0x2aa4c699, 0xea3efd02,
+    0xee694299, 0xc8aadf60, 0x96ed4549, 0xbdea7ac3, 0xc3fea713, 0x66232e82, 0x20246ccd, 0x1e48663a,
+    0x03a486fd, 0xa6ad9453, 0x832d836d, 0x4c3d8400, 0x7fb97913, 0xfe5300f2, 0xb51a2fa9, 0xe7731a53,
+    0xeb7432b0, 0x22915344, 0xadc27514, 0x756c2d42, 0x5b64d73a, 0x86f87d88, 0x316775c0, 0xff6aa139,
+    0xe2ca24a3, 0xabfc3cf4, 0xaf50f27e, 0x95331740, 0x40b432d7, 0xc4164394, 0xbcabbd05, 0x69418613,
+    0x04d3f5c1, 0xadb80421, 0x0c7e1ce4, 0x29077bdf, 0x26810b58, 0xfd6d40fe, 0x9a5980cb, 0x45c2e0bf,
+    0x5d1a2577, 0x381c1ca7, 0xa9283b31, 0x1809e9f8, 0x89d7deea, 0x1c927587, 0xd019773a, 0xde998560,
+    0xe8398363, 0x07d21db6, 0x3c778d1f, 0x0189e648, 0xde1b3ce1, 0xf651f0b2, 0xa78c485a, 0x1fdff747,
+    0x8741fd09, 0xaeab0eee, 0x4d4ef878, 0x7289c7bc, 0xd1423aed, 0xc8e52d0a, 0x37be3ed3, 0xe944f7c9,
+    0x9eb5251d, 0xbdf7676d, 0xe40aabfa, 0x8159e871, 0x23ed63d2, 0x28c7466e, 0xcb0ad68a, 0xa9b50bf7,
+    0xfe06f0dc, 0x04cf78b3, 0xc7ee08b9, 0x6bccad46, 0xd912fca0, 0x3ce6b8b6, 0x7c67460e, 0x9629812c,
+    0x9795cfdd, 0x7c65eacf, 0x645e8b65, 0x0aa00ce2, 0x278be085, 0x03049d52, 0xf7a18e7b, 0xa67903a8,
+    0x8c88a166, 0x2901c553, 0xfa0758d0, 0x5d9ced18, 0x73d2c891, 0x3f936ef7, 0x9854c656, 0xe8b7991a,
+    0xb0f09526, 0x2854d84b, 0xe2c33287, 0xb5f55dba, 0x20a60f8a, 0x6d063682, 0x49607102, 0x63058e82,
+    0x13fcc9f1, 0xc3bfd97a, 0xd0f63fa7, 0x6477e591, 0x255b6441, 0xede88f16, 0xdb54fd33, 0x7356dd7b,
+    0x78bbcf7f, 0xe5d81566, 0x2b4db67b, 0xc3ce4bff, 0x0182335e, 0x463aab16, 0x80298392, 0x2336ab26,
+    0xea79ae2e, 0x6123f9b1, 0xd3fc979f, 0x69cc02db, 0x50cfd661, 0x0fb8c903, 0xee179086, 0x6b883259,
+    0xab7030a3, 0x7e202c0c, 0x5b96d2f8, 0xfc8a0c92, 0x394b1827, 0xa47261fe, 0xfa32f89d, 0x4c717db5,
+    0xf476f64a, 0x65117461, 0x3539403a, 0xef41c749, 0xbe3ba7ff, 0x2593cb66, 0x820b319b, 0x23ca915e,
+    0x3db12e50, 0xfc17fdfa, 0x2e953146, 0x086df92e, 0x5c568266, 0x8d406118, 0x21b1adf9, 0x7067df39,
+    0xe097ad2f, 0x86d12685, 0xdc1f2518, 0xe19df660, 0x7976a6f4, 0x793a6bf5, 0xdc869372, 0xa1deb3a4,
+    0x86b48c48, 0x7acff96f, 0xc8d9ce26, 0xf1e8fb37, 0x3a96c403, 0xbb00db0e, 0x3b137e4a, 0xb6d83151,
+    0xf13e2c20, 0x86c7ad5d, 0xe44df296, 0x2fb0c253, 0x5a0b157e, 0xd55f2fcc, 0x339d820f, 0x627862b2,
+    0xae93d11b, 0xbae77eaf, 0xb75aeaf2, 0x5cf064ae, 0xd72b50e9, 0x7600de01, 0xd1341423, 0x1f0368e1,
+    0x71ac7672, 0xf8447fa7, 0x946beefd, 0x92ef7b00, 0xb12e9c42, 0xabfe4ac0, 0x1281512d, 0xecd87449,
+    0x5d7c3b75, 0xd7d4119f, 0xe197e2ed, 0xe6f72409, 0x68fd9c27, 0xc208713d, 0x374cad59, 0xe78cc78d,
+    0xc6aa25a2, 0x7b384bb3, 0x2908803c, 0x41c37546, 0x17f5f025, 0x3b9703f8, 0xa5aa1ff4, 0xb5b6ae51,
+    0x0055568c, 0xb2571c39, 0x4af02682, 0x95109344, 0x7c15e3ae, 0x944d9e75, 0xd793c40a, 0x699b776f,
+    0x6162afd4, 0x651a14f1, 0x51963527, 0xfc74595f, 0x9c944d1f, 0xfdb3b8a7, 0xd9644a85, 0x44867ddb,
+    0x845563bc, 0x9bc3fcb0, 0x1c1ee35d, 0x03c4e3ce, 0x263cea9b, 0xd06dcaac, 0xd402d300, 0x1ea1c202,
+    0xc2645b7c, 0x402079bf, 0x5e80d3a3, 0x3c8863ba, 0x979aa29a, 0xddd1f762, 0xbaed73a8, 0x46d436d0,
+    0x7ebbc398, 0xec4c2477, 0x4f71d939, 0x78324e4b, 0x69ee75da, 0xb394bf95, 0x8b714e63, 0x09f5be35,
+    0xb3862e90, 0x18f5ad8c, 0x4eb07f0e, 0x8a73eea0, 0x5e1429bf, 0x7d1ee554, 0xa6597621, 0x76268bfe,
+    0x6c80b152, 0x61b0eeee, 0x738ad690, 0x2c73eb8a, 0x4a1ccbc0, 0x0e9183f1, 0xda934adb, 0xa6928816,
+    0x65a845eb, 0xdf7b814d, 0x94b15472, 0xb0dec84a, 0x7b61b527, 0x80426dbb, 0xef1f5863, 0xc2c1c85d,
+    0xb3cb4c69, 0xc2b548bc, 0xc1aeba4e, 0x43ca2e45, 0xdd651662, 0x62a6ddd0, 0x87a25d0c, 0x5e5bb833,
+    0xe7a51cf0, 0x86a97faf, 0x1777dcc1, 0x29b53578, 0x6d83235b, 0x83f7f16f, 0x15da2ff1, 0x23540b21,
+    0xfc0e069f, 0x5d2a5869, 0x7542a53d, 0xb40aba09, 0xdfbd390d, 0xac594982, 0x8d5d9ba4, 0x5d99636f,
+    0x07c2a6e7, 0x8056af6d, 0xb2113a49, 0xd8e35ff5, 0x50a4aacd, 0xfe9b86cd, 0xa8a92038, 0x4b3f50d2,
+    0x317f4414, 0x7c399a38, 0x014ec27a, 0xdbf2ac64, 0xe4339984, 0xa8b71123, 0x770f2aae, 0xe3bba7fc,
+    0xa38f9bb8, 0x79d67334, 0x4d62a8a9, 0x72c58887, 0x6a20ce26, 0xf217fc35, 0x61779460, 0xe2913c72,
+    0xb2a8b032, 0x2a69aa0c, 0x8dcc9786, 0x56cf82be, 0xc3aae391, 0xb1609933, 0x91fb81ef, 0xb4787b62,
+    0xf0022895, 0x8b7bd386, 0x005c885f, 0x6f302f25, 0x608dcaab, 0x230ee382, 0xffe5877d, 0x9d6384d9,
+    0xfa742574, 0x132ad560, 0x7c5a32e7, 0x7410d59c, 0x6f1d0d64, 0xd536e6b2, 0xbe9a0f4e, 0xe3633a91,
+    0x009115c4, 0xd286a655, 0xedbdaab2, 0xb41e9045, 0xca32ade3, 0x231281e2, 0x4f035440, 0x2a36a817,
+    0xaa586de8, 0xdd5fb682, 0x8db22803, 0xf13ba278, 0x9d966153, 0x9f46da85, 0xeec49324, 0x9ec7a797,
+    0xea6a1fb1, 0xca318641, 0x5be081f6, 0xd7d5186b, 0xf1b31cac, 0xc0288b87, 0x88ca9bdb, 0x9af07dc0,
+    0x0c477785, 0xbf49b33f, 0x2ff9b1c1, 0x1a8a1fd4, 0xc936831d, 0xe6c1c706, 0x888efc6e, 0x05408740,
+    0x01c2ceb7, 0xeca97e64, 0x80ca5398, 0x4ab74cb6, 0x1a79e87a, 0x3144b321, 0x5b0adf09, 0x2dbc29d5,
+    0x79376228, 0x2961926a, 0xbc41e176, 0xc363e05d, 0x975d1046, 0x892205c4, 0xa7c6bd7f, 0xc4b40d8d,
+    0x9fc2a342, 0x01fd991e, 0x5da7d9a8, 0xfe8ebcb5, 0x16c351fc, 0xaace3237, 0x044c6d35, 0x2d26f5ed,
+    0xb8809dd1, 0xa098ddc1, 0x8f24d673, 0x1c6ff5f7, 0x68e6a10b, 0x63099a4b, 0xa6c65526, 0x32f613c6,
+    0xca5c0cba, 0xb84df023, 0xbb883db8, 0xa8b1da6c, 0x20dbd79d, 0xd3b07a0d, 0x81f9e64a, 0x39bc986f,
+    0x2ecb7d9f, 0x000f818d, 0x9793052d, 0x09dd33a9, 0xd5ea9eb9, 0x7401d6b9, 0x5746b9e9, 0x4aaaf28f,
+    0x18f92c3d, 0xf3f25c1b, 0x66012d0b, 0xd592b233, 0x5a22ee32, 0xb8b6d67a, 0xc8a4cdab, 0x61687139,
+    0xec0bc8a3, 0xdeb2db73, 0xbfc28c54, 0x546db93a, 0x7d4a0526, 0xe93bb1b7, 0xcd99f255, 0xc1655a2f,
+    0x5171807d, 0x1f7732fd, 0x5515cc53, 0xdf4c39f0, 0x4df13f17, 0xcb7f8599, 0x6f7c4c74, 0x918cc8da,
+    0x92f95f64, 0xa869518b, 0xb7c34329, 0x503747e0, 0xea228faf, 0xe393f95c, 0x51532ccc, 0x14eb8847,
+    0xdb36012e, 0x10d18416, 0x99f7a884, 0x158dc69f, 0x893b2576, 0xc896dce7, 0x0610a805, 0x2f6c2bdd,
+    0x5a403bad, 0xa2044972, 0x5c2f1a0a, 0x81f5e6a5, 0xe0188a9b, 0x40bf9827, 0xa248232f, 0x2ae55460,
+    0xd529c2d7, 0x0fc85cb9, 0x17095e3f, 0x13e1391c, 0xf770f2cb, 0xe89d8fcb, 0x8af4b0bb, 0x1a482fa0,
+    0x944660e7, 0x6e869ce8, 0x6e5ff518, 0x358b2017, 0xe08e45df, 0xbdb4ce5c, 0xf6e68379, 0x8a4a155e,
+    0x0df7c569, 0xcae05af4, 0x0bc0a1db, 0xa8ce1089, 0x45fd2f7b, 0xbeb41ef1, 0x2b16bf87, 0x51fd5aca,
+    0x5392dc06, 0x8156fd43, 0x8e761e8d, 0x40005342, 0xfa048d04, 0x82bbef41, 0x35becbaa, 0x139e1d74,
+    0xa055626c, 0x62a91fc3, 0x3ef3e9ba, 0x3f23bac1, 0xc3bf8096, 0xe02e7235, 0x92d7aede, 0x441aff70,
+    0x037b83a5, 0xdbeeb86f, 0xe1c5b2d2, 0x578ee04c, 0x0bb623ce, 0xa1fa5258, 0xa061bc99, 0x409e07a8,
+    0x0876e525, 0xdf314b5a, 0xa40c070f, 0xde1cbc48, 0xf1506fdb, 0x51fc9293, 0x29145056, 0x9e89b7df,
+    0x70f16b02, 0xd0601ff1, 0xd7a5aab3, 0x57e2eb85, 0xf397aca2, 0x57ce216c, 0x3f29227e, 0xffd45727,
+    0x9869f58d, 0xac475ead, 0xf6351d5c, 0xfd6a8198, 0xafded803, 0x18661628, 0x04193c40, 0xa92f26cd,
+    0xe8ac2354, 0xb308cc21, 0x69b0fe7d, 0x3a5d498c, 0x7d062a7c, 0xc5beb825, 0x403f1e88, 0x48ac7eb9,
+    0xd184ecf5, 0x083af91e, 0xbc9c8692, 0x7ced5e7c, 0xd94738e8, 0x2945b30c, 0x1dc4b563, 0x47d63073,
+    0xc832cb79, 0xc7ccc633, 0x9169933e, 0x8b715c22, 0xc8eb4cbc, 0x80af29a7, 0x57a804bc, 0x9937af4f,
+    0x382d0d4b, 0xcf5f40a6, 0x7cd931c8, 0x6ca80f57, 0x109e4709, 0x52ce8297, 0xc88390de, 0x78113e04,
+    0x34a42557, 0xaa3a8c23, 0xd5b7ac79, 0xf744e476, 0x1c46a9e0, 0x4525becc, 0x63955f08, 0x286b3952,
+    0x398ce932, 0xfff5cba1, 0x0eb01003, 0x7d3d342a, 0x39efb7ac, 0x5b00f104, 0x15753277, 0xef84b296,
+    0x8b124779, 0x2cdbe635, 0x42295781, 0x15875833, 0x4e9eb2f5, 0x7c37046c, 0xd9823ff2, 0xf6a03224,
+    0xf6dbe685, 0xabff885e, 0xc68c0d07, 0x72271af9, 0x9f89618d, 0x93fcba6d, 0xc7542c3f, 0xed62f844,
+    0xfaf4e00f, 0x4e5c16d3, 0xc32d7585, 0x2516eaf9, 0x39da2c31, 0xed8a1d25, 0x83f3bfb2, 0x1e216550,
+    0xc2d4d960, 0x88acb1e9, 0xf2d4932b, 0xa1a66e7f, 0x53c5dd83, 0x2655bae2, 0xfdee9b49, 0xbfbf676c,
+    0x26e3a76b, 0x3e3a3b63, 0x1965a87b, 0xb266c343, 0xaee376bf, 0xb84ada25, 0xb45f6188, 0xb826f592,
+    0xcf1eb791, 0x885476a3, 0x7a120755, 0x9107a05d, 0x715d7bcb, 0x3ffe637a, 0x1c605659, 0x5fcb0e93,
+    0xc6e58ce5, 0xec4c427f, 0x5d8c422e, 0x8a8be70b, 0xfd655c22, 0x8f39c85a, 0x156dd650, 0xd0f43614,
+    0xe248cace, 0x40227775, 0xcabb2536, 0xafd9195b, 0x6c8ff448, 0x26af09e5, 0xa26a0a17, 0xac0befbe,
+    0x4406bab9, 0x45f11740, 0xfc55a1fb, 0xaa686f2a, 0x3a1fd63a, 0x9b691938, 0x82854887, 0x4db46c75,
+    0x233363c7, 0xd735177f, 0x9e068ae3, 0xb81e99ec, 0x5b03e3f1, 0x77bc6596, 0xb021614f, 0xf52458ff,
+    0xd28c0721, 0xd666184a, 0x0b0a52a7, 0xea3feaf0, 0xece8e77b, 0x4235b235, 0x54dfecb5, 0xfbf3fa0e,
+    0xb5eb8f03, 0x6922ec27, 0xb7c89022, 0x5d2f04d9, 0xe64f1d48, 0x950046e1, 0x489ae229, 0x3a669c63,
+    0xc080fa52, 0x3b03c3d9, 0x4dfcdf02, 0x1c24bd41, 0x88020257, 0x9801ec3f, 0xc6228334, 0xbbf97365,
+    0x2c24cc0f, 0x5e1db1ea, 0x64f54784, 0xc5cfec3d, 0xe60ee56c, 0x53a60977, 0x8a3897dd, 0xbebe7970,
+    0x305408d7, 0x1d75fc98, 0x1fb5d358, 0xbcbf265e, 0x3770600d, 0xf496d992, 0x9c74344a, 0xf259f8c7,
+    0xe3bea3e2, 0x6e4c2478, 0x666c0065, 0x5bb48b7c, 0xc9a2111e, 0x70998eca, 0xcff9a8f6, 0x9e6fee9f,
+    0x9b578872, 0x5b009789, 0x9087b88e, 0xc2dbdef9, 0xca727587, 0x6fde91a3, 0x4f0c224e, 0x67db788c,
+    0x44c1df02, 0x17500572, 0xa19a3c63, 0xbdf1fc4c, 0xfbfdcdd8, 0x85ea14a2, 0xbb9a044f, 0xfc17904d,
+    0x98341391, 0x6193d877, 0xc258905e, 0x2d75b6ba, 0xd5c6909a, 0x7ce89587, 0xaf5ee0a0, 0xbae68f0b,
+    0x97666662, 0x40dc3cab, 0x37b52577, 0x9f19a9e1, 0x91f2d57a, 0xa0b93f4e, 0x4d6bc6b6, 0x5fda17c6,
+    0x939a3362, 0x6b20f54a, 0x3c508fd5, 0xdfc65555, 0x67180d5e, 0x3c1dc63b, 0x35ed518f, 0x3853eca1,
+    0x600f0930, 0xdd9123af, 0xba512e33, 0x7102a3fb, 0xe1ffb843, 0xe9e785cd, 0x148dc5a4, 0xd04086a9,
+    0x845f8996, 0xf4ad091a, 0xd548826f, 0xfdf4cf62, 0x4825a613, 0x84955d36, 0x478fd128, 0x5f79db46,
+    0x39cbbf9b, 0x85a40778, 0xbbfb37f6, 0x3c502335, 0x5f3b97d9, 0xc6b6b906, 0x3f5b7b62, 0x4ba92a88,
+    0xf8ce76c7, 0xe2b3bfee, 0xe586c70d, 0xc8c38bfc, 0x576a7c06, 0x7bccd6e8, 0x1f4691d4, 0xb0ec4374,
+    0x8bcebc0a, 0x63c6c4ff, 0xfd109e97, 0x40824111, 0x2425f16b, 0x51ac9db0, 0xa76dada8, 0x6ab10f38,
+    0xe3d2c461, 0x8c2d8281, 0xcf4e4fc1, 0x9c50bd89, 0xcf8e69b0, 0x8fbbe16a, 0xa0aa3756, 0xa2c0e3c9,
+    0x00000000,
+    0x00e42628, 0x599349d5, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000003064991081731777716716694054300618367237478244367204352 */
+  { 0x00000000,
+    0x3b251ec7, 0x48656fb3, 0x5f750408, 0x3f99a1c0, 0x678f3a01, 0x5718ab1f, 0xa6ee2db5, 0xe201b836,
+    0x48ffff7f, 0x2664d4e4, 0x62f9a497, 0x3feb43e0, 0x8bd05769, 0x408a914c, 0xc6d416a0, 0xb884b672,
+    0xe8b97172, 0xa530c80e, 0xa992e1ec, 0xdf236148, 0x3ad316cf, 0x109a62bb, 0x5107362f, 0x7e3971f9,
+    0x4117812a, 0x4a19b170, 0xe29c8297, 0x99eb1923, 0xdc07a8da, 0xb0e6a76d, 0x5099f062, 0x56bee772,
+    0x950907c1, 0x66d8b243, 0x9bde1193, 0x5561cfb9, 0x08a39128, 0xffd050c5, 0x8e84e8a5, 0x3ad8d036,
+    0xb4792ae1, 0x88856baf, 0x689a4ae6, 0x850c0c9c, 0xd41e20d5, 0x856b3ad4, 0xdcae61f8, 0xa21d831b,
+    0x7381da26, 0x7bee9b8c, 0xa67fdc94, 0x783382a9, 0xbe5901a4, 0xecac1716, 0x8210a4f2, 0x0276d4cb,
+    0x4b6abba2, 0x4b4bcda8, 0x6dd12c07, 0x682b3638, 0x05b85e98, 0xbe5ba4dc, 0x7059713d, 0x9572edb5,
+    0x37397a57, 0xa5aa8b8c, 0xb057e078, 0x3ec9f6f8, 0x574e6083, 0x5afed5d1, 0x66b2b9d0, 0xe6312b0b,
+    0x2f4eb6c1, 0x5543c660, 0xf7fa2393, 0x39a7e6a6, 0x183e0841, 0xda19eef1, 0x5763b056, 0x75365fd0,
+    0x2d342131, 0xdd567357, 0x816facc0, 0x58551f1f, 0x609d132f, 0xca6e6173, 0xd291e642, 0x542f72f5,
+    0x489871a6, 0xd67fb782, 0xfbd885f6, 0x8e39f977, 0x59484272, 0x0a30c4f2, 0xee577760, 0xf72b377d,
+    0x5573c02e, 0x195490bb, 0x69a70fb9, 0xd32ac6f1, 0xc62f5147, 0x31fee45b, 0x5e2ade4e, 0x71df5928,
+    0xd97e930a, 0x8fdbe1c1, 0x5cc79653, 0xa7361e1d, 0xaec550d8, 0xd062c53b, 0xe30569a2, 0x034312dd,
+    0x470e4b62, 0x99768997, 0x90172252, 0xfd643ac1, 0x88348e7c, 0xc3294c14, 0x9791b284, 0x8fcbcfd1,
+    0x86facc8b, 0x840f25cb, 0x60244859, 0x0556cd66, 0x37c12784, 0x0f415b5b, 0x29a131d9, 0x147de489,
+    0x8c9c2797, 0x5cd4c8b7, 0x37be664a, 0xc697db6c, 0xfd74d334, 0xc0fbc37b, 0x6d5b1fcd, 0xc997cd91,
+    0x3f166c25, 0x45e59eb2, 0x4da14481, 0x4c51cb17, 0x1d2b150f, 0x2426bd64, 0xf0a3de1f, 0xac0c2235,
+    0x78fe82d4, 0x53ff770f, 0x30ca8611, 0x1c3f9b9d, 0xc0ecca4b, 0x3afd0255, 0xb046424a, 0x2521d60c,
+    0x612013ea, 0xfe51473b, 0xa7960ea5, 0x150a6f3e, 0xacef97f1, 0x09d84615, 0xe17a7ed6, 0xbc289102,
+    0x26f77de2, 0xa36ddee6, 0xe848b351, 0x1783f5fe, 0x4b608a93, 0xb100ee1b, 0x78bfa4a1, 0x9a107ce1,
+    0xe47f9d8c, 0xbf32201b, 0x1a38211d, 0x2ea5c102, 0x013fe1ad, 0x16dcfe52, 0xb2b63a65, 0x53ad7d27,
+    0x2a7d2e65, 0xdccd20f5, 0x8dd366ff, 0x4f10eb0f, 0xe2dbf5c3, 0xb3445649, 0x19141bf3, 0xe860ddce,
+    0xb1c6da95, 0x3e8ea62f, 0xabe99c3c, 0xdbc8c7d6, 0xc8a7c411, 0x6f3b211c, 0x1bd78fd6, 0x8744db66,
+    0xaebfa862, 0x7b319323, 0xdbfafaf2, 0x459ac097, 0x93224d59, 0x6b610d25, 0xd59d3a02, 0x3ff3dcb4,
+    0x62c0e251, 0x07c62bc2, 0x47dfc897, 0x2f6f38fe, 0xf0d81756, 0xbb6f7178, 0x16f1112d, 0xa24ef016,
+    0x6c19a32d, 0xd06291ba, 0xe2d2afc3, 0x4d643fe9, 0x9e5e1911, 0x095d8c5f, 0xe75da47c, 0xbf9d125d,
+    0x32be02a0, 0x7ea84899, 0x78fd0485, 0x78cd62e8, 0x1d649b79, 0x9ee64a75, 0xac245c0a, 0xf12937a8,
+    0x779d2cb5, 0x51801998, 0xb6802bc6, 0x7fa46f60, 0x76da88c7, 0x31936bcc, 0x575ef529, 0x6b8ca1cc,
+    0x02e55c31, 0x7e5b0863, 0xf16b29de, 0xca547335, 0xff287127, 0xb3e618ea, 0xe38ec9cd, 0x74806852,
+    0x07be0d79, 0x41afc6e0, 0xf9919b6c, 0xe438cb76, 0x03bcbe13, 0x7d4f3b36, 0xd427b2fc, 0xee20c1a6,
+    0x8fa61c5a, 0xeb639ed5, 0x265d3c76, 0x909ca5ac, 0xcadee019, 0x9b256635, 0xf78353c6, 0x13f888b8,
+    0x682ad685, 0xc35d3760, 0x72b2a7ec, 0xfd6ec650, 0xe18789f8, 0x4d21772f, 0x59a1dcc5, 0x1d3b4d82,
+    0x7c47bf6d, 0x79fe211f, 0x20e7a7d1, 0x9284314c, 0x366001ab, 0x10585749, 0xa42fc1b7, 0x7a6777fc,
+    0x2219423e, 0x53c4b924, 0x96712b38, 0xbb406ea7, 0x63d0bf1a, 0xf49f6753, 0x67899e9e, 0xcda2ed50,
+    0xdd93a9b4, 0xf7836af1, 0x3c656f00, 0x34e266c4, 0xd233af50, 0x0decf46d, 0x08d90c8f, 0x04c070f7,
+    0xca562410, 0x4b41c989, 0x9c457231, 0x6b7f8484, 0x01ae9c48, 0x07c7647d, 0x6cde29b2, 0xff10cf23,
+    0x7d66ab89, 0xbb9a4bdd, 0x344431dc, 0x99855f67, 0x48a2e8b8, 0xd197d24c, 0x22fdb155, 0x415c09fc,
+    0x96177af6, 0x062482b1, 0x0556b838, 0x9a668b8a, 0xd6aea2e1, 0xddde1b58, 0x2c533a61, 0xe80e8dc5,
+    0x1a4f549c, 0xdd9563e2, 0x39572b5f, 0xf7a2e759, 0x372ce101, 0xc162904b, 0x94d9ac3c, 0x263c57e6,
+    0xbadf3cfc, 0x8782a6d9, 0x600b59db, 0x4c85d127, 0xa60c3697, 0xf05de00b, 0xc7444979, 0x0d651024,
+    0x981d688b, 0x50aa7ac3, 0x752cd1b7, 0x8cb51c85, 0x8627d314, 0x4343f270, 0x51ae3794, 0x6a17f862,
+    0x0833982f, 0xb8312bc1, 0x126c74b9, 0x56e3ba1e, 0xf84aacae, 0x3f558118, 0x0a4832b2, 0xdfe8e3d5,
+    0x80771352, 0x65555c1d, 0x9562f9d3, 0x46d53d15, 0xaffd0af6, 0x5341afe0, 0x3c90f8e7, 0x2457c8bc,
+    0xb87aedd3, 0xaaf3a7dc, 0x87dd5698, 0x10571722, 0x6ea953cd, 0xe2afa702, 0x75253f11, 0xf9cec598,
+    0x3b5846b7, 0x623a2805, 0x88cb6eb6, 0xe1a467cc, 0xa26b8956, 0xb2249092, 0x368ab7b6, 0x91e96d7a,
+    0x48053989, 0x8a5d1cb5, 0x56aeb935, 0xe1efc113, 0x52dd09f9, 0x96266220, 0x2a73567c, 0x9a3d343e,
+    0xd53fe26e, 0xbe6d3996, 0x07f4e04e, 0x34dbb0e3, 0xa66771b0, 0xcbf2a24e, 0x212aa131, 0x4e2c678f,
+    0x5c42e8d3, 0xe867c419, 0xc5754757, 0x572e7748, 0x284aaedf, 0x16d42f11, 0x6cabca12, 0x1776287b,
+    0x85c78296, 0x6d330708, 0x57cfe6f1, 0x5f2001d1, 0x1c701899, 0x7971a32f, 0xb07a98d4, 0x609da63d,
+    0x7ed3f270, 0x30080866, 0x7aba65dd, 0x0f7b4f94, 0xb91f67a6, 0x634a8a57, 0x12d23864, 0x772a845d,
+    0xb5944d39, 0x078a9785, 0xf9800fc8, 0x1f27f2ee, 0x8048ea16, 0x0c627ee7, 0x146f87bd, 0x542f1272,
+    0x471928fd, 0x001efc20, 0xc3b07c5a, 0xde9b367b, 0xbd540478, 0xfce60fc7, 0xff7b4ec1, 0xf78314b8,
+    0x4750a462, 0x4185ccef, 0xd80db808, 0x60d269a2, 0x3e570e2a, 0x1e58ab27, 0xa9e4e8da, 0x0f281d1c,
+    0xd6015b08, 0x03110134, 0x81ba2259, 0x340d390c, 0x53c282b5, 0x3fdbad97, 0x7ac1f01c, 0x07906b8a,
+    0x295a44e6, 0x7e0b1def, 0xd3fd4f91, 0x99d0e10a, 0x85f17ff8, 0x1ae56e74, 0x4c1e9899, 0xbf4c244e,
+    0x66483373, 0xeda5092e, 0xf0c6a515, 0x7cbec06a, 0x66448349, 0xc4037210, 0xabcbb7ec, 0xdee541f0,
+    0x75ce9ea6, 0xfd1a0cfa, 0xd64b8af9, 0x1e2f378a, 0x2ff06516, 0xcbca8957, 0x1cd75eb0, 0x2d80a194,
+    0xf72a9f5b, 0x5fb135f9, 0x07e884a9, 0x8cb68627, 0x80b11711, 0x01346e53, 0x5eb2d96e, 0xf7e95cc7,
+    0xd991cdc7, 0x4d859828, 0x97eb6b86, 0x60a7425e, 0x1f6ebe9f, 0x71841334, 0xef4e5076, 0x9726f86d,
+    0x7a9afd2d, 0x19ab76de, 0xee8dcd8e, 0x8d7b0bd9, 0x8b8c0c75, 0x0fbf63ad, 0x9bb6bba0, 0x5a9b17a7,
+    0x8299bf32, 0xff814719, 0x2154cfee, 0x9141f327, 0x529f4591, 0x86769ef9, 0xd663c13e, 0x99f6bbe1,
+    0xe0027254, 0xcdc26cee, 0x1e95d9d6, 0xe5313f82, 0x9b067c60, 0x5753a680, 0x75c8460f, 0xe0959787,
+    0xd927143c, 0xcd30d63a, 0x8a3d0eff, 0xe71bfb3d, 0x6151132f, 0x471e7bff, 0x903ab61b, 0x45e3e802,
+    0x99a85e75, 0x468bbba2, 0x35b05f49, 0x6cd57eac, 0x2c02840a, 0xb19368e8, 0x70fe212f, 0xf4f48d99,
+    0x5f19c60a, 0x471fce4c, 0xa259c45f, 0x92f8cae9, 0x71c16727, 0x321101e0, 0x17ef7713, 0x961cd008,
+    0x0a96e787, 0x49c4c29c, 0x1addbd93, 0xdf94c4d4, 0x1b55f890, 0x0ab0a253, 0x8f520b9e, 0xd79b623e,
+    0x97cf5003, 0x2f8dc179, 0x36086657, 0xd4cb0825, 0x0a956b5b, 0x30bf8966, 0x40a123e0, 0x9c0aab6f,
+    0x206cf333, 0x98aa4158, 0x334a2d61, 0xee09383b, 0xa4874726, 0x53826b23, 0x56e62bf7, 0xc06bcdaf,
+    0xc2bbbb07, 0xd27e8984, 0x1d5ee2e1, 0x2fd66bd9, 0xcf1f7fff, 0x4a693ef8, 0x4acaee66, 0xa07e5415,
+    0xe186093c, 0xdfecaa3f, 0x9ddfa24e, 0x40390d11, 0x81acb48b, 0xbe31e2ca, 0x28887485, 0xff0f99fd,
+    0xc3770ee1, 0xfccc12de, 0xd11bed38, 0x8eb82f08, 0x16ed3350, 0xc64ee0d9, 0x34ebea0c, 0x4e1d5b1e,
+    0x2d1ba329, 0xe2405008, 0x426d42c5, 0x1354ced3, 0x3bed2d05, 0x00c18ff1, 0x63d2df0c, 0x989bbae1,
+    0x1f5d9d1f, 0x503b8c03, 0x4c3c46d4, 0x938aee23, 0x3c07181c, 0x622e8b82, 0xac8450fa, 0x42fcbebe,
+    0x1b3db4b1, 0xc60e789e, 0x943953ce, 0xb3df9bd3, 0xdc8331cd, 0xc74537a5, 0x26f4b41e, 0x6b24e4ba,
+    0x0df28fb0, 0x4c5d70ff, 0x614fb40d, 0x2d00e2a0, 0xe35869c8, 0x9eca7259, 0x81cd738f, 0xec9eeeb4,
+    0x766009f5, 0xcc0c2750, 0x712a70ce, 0xb60a5b23, 0xcdeeaf42, 0xab850a4f, 0xeb1a1244, 0x00ba7d77,
+    0xfbf65b1e, 0xd612f070, 0xb05831f3, 0x4a98d3d8, 0xb961f950, 0xe7b6c602, 0x7f82d62a, 0x07cf6d02,
+    0x51f90862, 0x5bdb2aa7, 0x13523ff2, 0xd7b76b9a, 0x82536bed, 0x2e270c5c, 0x0f1a93a4, 0xb0f3d9b3,
+    0x3e670c72, 0xe930986d, 0xcbf1c746, 0x8b9630ef, 0x9598f93a, 0x58e7ef0c, 0x30a02157, 0x77fecb36,
+    0xcb2e6db9, 0x86901d35, 0x9196a99a, 0x457f1601, 0xcda00a1e, 0x5c878e9c, 0xf03bc08d, 0x248e9b0d,
+    0x9a2831bd, 0x157a4408, 0x547c9f6a, 0xe66393d5, 0xb5cd0a95, 0x3654295e, 0xc8033aab, 0x89675a1c,
+    0x77f8c532, 0x6338b930, 0x82036609, 0x697e9d26, 0xe51634f8, 0x37daa9b8, 0x6d5c5f63, 0xa90e2908,
+    0xb55ed4ad, 0xd6c5d424, 0xff09997a, 0x8358ee8f, 0xd8cebb76, 0xe0657694, 0x1a530259, 0x31e18e4d,
+    0xdf4c9888, 0x62df39cc, 0xcbe57ee6, 0x32276899, 0xddfedcc0, 0xea7af2a9, 0xe43090fe, 0x254a386d,
+    0x1f1bfee7, 0x3ef991ba, 0xe1000a11, 0xaacb40f3, 0xce7306e3, 0xd6eacc36, 0x28382b04, 0x56d6a29a,
+    0xa3bde4e9, 0xd6a65e35, 0xaed62391, 0x56f90ade, 0x18f6d8f5, 0xa345c7ff, 0x312a5953, 0xd5e401da,
+    0xdfacddaf, 0x7278a62f, 0xa35222db, 0x1ea84f2c, 0x0349809f, 0x014a2540, 0x08008084, 0x8be30a10,
+    0xf9964805, 0xc304fcd1, 0xf1d69898, 0xe261bbc2, 0xe4fb75fc, 0x750cdd69, 0xe40c6a5d, 0xbd172970,
+    0x3163d33e, 0xf4b08428, 0x9cdbae85, 0x3add6d4c, 0xa288d9d5, 0xd4b5bb21, 0x3d301151, 0x456cc58c,
+    0xfbca8341, 0x82f3e26a, 0x697d33bc, 0x41770a29, 0x5b9b213b, 0x493d7aab, 0x6dc49e83, 0xc060785d,
+    0x8df4792b, 0x9b87f6d1, 0x9e70de08, 0x15514b47, 0x4e10c382, 0x0935f321, 0xf96b6d4d, 0xa8dbbae4,
+    0xeaee9436, 0xe9e25bfa, 0x0781b57a, 0x8520ad51, 0x36f9679d, 0x513613fa, 0xdc1707c4, 0x06ba2645,
+    0x6e591d8f, 0x10342ec4, 0xbac05068, 0x84ed4f52, 0x35143857, 0xbd9c968b, 0x8c4d9635, 0x7f417ff2,
+    0xcab49d98, 0xd47f4280, 0x7d770cba, 0xf03c80ac, 0xcab2901f, 0xbcd7f73c, 0xbd26ad97, 0xa917a567,
+    0x34678549, 0xad52f0d1, 0xa9fb1d15, 0xbd72ec2f, 0x364fc583, 0x54a7c97f, 0x409f37dd, 0xbe74cb13,
+    0xf6fe66d6, 0x9ab48272, 0x52784055, 0x1be9a7c3, 0x4e9aa256, 0xab933315, 0xaf10006e, 0xfa0a80a8,
+    0xb2bed803, 0x01f90423, 0x8c21f45e, 0xf615e99c, 0xa631e10a, 0xeb9baebd, 0x22fd949f, 0x7f9d99f1,
+    0x08265c7d, 0x88a5b700, 0x154aaf68, 0xaac66198, 0xafed2373, 0x8b736cdb, 0x5a6020a6, 0x641e2340,
+    0x7a09401d, 0xab8bfa44, 0x79deb1a8, 0x0b3fc943, 0xf51659ad, 0x82d2a02e, 0x29b216dc, 0x434a56bb,
+    0xad40ce92, 0x31657f26, 0xa4775414, 0x0999b4b4, 0x63d4e3cd, 0x2f39448e, 0x08adbe5c, 0x7f25dbf6,
+    0x4e07935f, 0x3c80c281, 0xf3edb6aa, 0xdc2be766, 0x891b7cd9, 0x0a11ed9a, 0x2f0589af, 0x44237f50,
+    0xa94309f2, 0x3301b1b9, 0xc79185bd, 0x4104f486, 0x9e1aa297, 0x04c22ad3, 0xc7fa0e79, 0x65ced349,
+    0x9cf41772, 0x00a03e37, 0x06962226, 0xca165628, 0x1c6e3061, 0x1c35466d, 0xbd057a30, 0x367fd03a,
+    0xa4a6462c, 0x4a21864e, 0x6382e89a, 0x7c0c2ce8, 0x7129cb43, 0x5ec09753, 0x666ae0d0, 0x162f3e4e,
+    0x37dde916, 0x7f64b9f5, 0xdd4098b3, 0x953cad1c, 0x8dfd8b67, 0x6d5b44f8, 0x6c745108, 0xb4a19f3d,
+    0x5f2897d5, 0x87b94564, 0x67ba7188, 0xd4590f02, 0xab55f8f4, 0x985a9b68, 0x7efa1974, 0xc0e80e68,
+    0x32a60efc, 0xfbce7c53, 0xf5711990, 0x6e8b78a9, 0x0399596a, 0x335940c5, 0xb7c0a6f1, 0x77c23cb5,
+    0xee555ff7, 0x59db718e, 0xf91ac259, 0x854223cd, 0x714143af, 0xb6588290, 0x189eb042, 0xbbca6339,
+    0x9358f291, 0x62331d0a, 0xb4a3fa33, 0x807b5f63, 0xb02c56d7, 0x8dae0623, 0xd4187d72, 0x39afc766,
+    0xf35fea66, 0xe6ef1462, 0xded1230c, 0x6d936185, 0xd16cf60f, 0x02a08a51, 0x9b68e696, 0x71534e21,
+    0x4fe7fbee, 0x58596256, 0x4c13a40c, 0xc17d3074, 0xf1083736, 0xe06887e2, 0x750b34d8, 0xb411f28b,
+    0x4cf32f4a, 0x5a3aa0ae, 0x614dcb30, 0xa50f5520, 0xe9c467fe, 0x88a317f8, 0x19d4930b, 0xd3394793,
+    0x795dd8a1, 0x4a73e986, 0xe1c71492, 0x6b27f7a6, 0xe39eb558, 0x2cf20afb, 0x921f9337, 0x418410d9,
+    0x0ce1df5d, 0x3bf854c2, 0xe1f5869f, 0x30317de4, 0xcdc02aa9, 0xfa45cf84, 0xdf86986e, 0xefb2dd93,
+    0xf8fbe569, 0xda28556b, 0xb16fdf37, 0x530ff99f, 0xed883cf2, 0xa14b9cc8, 0xb2874f0e, 0x87142cef,
+    0x6d44f0c8, 0x5675b55f, 0x6b4eb5a6, 0xabd9b9b1, 0x2911513f, 0x0585f51a, 0x10b8b8db, 0x0960e2e6,
+    0x51338e7f, 0x3f2b0dff, 0x9aa5aa0b, 0xec31ce29, 0xb34bdcbb, 0x3965ac38, 0x9948bb6a, 0x30b7c176,
+    0xcdff4f83, 0x1bf5ee57, 0x72096e5d, 0xb701cca8, 0xc1e1a7cb, 0x2e9a8e0e, 0x6f16e0d1, 0x135f000c,
+    0x1036fa92, 0x9ac6c97a, 0xcf5b9104, 0x7fff20a0, 0x3d16a71a, 0xac6b0423, 0x1b834a0f, 0x3f05246d,
+    0x5aa04abc, 0x04e4e6b7, 0xf87fa54a, 0xd8f1c786, 0x2353cb38, 0x6daa7ba5, 0x7247a4a3, 0x81177cdb,
+    0x695472c0, 0x3ee353ac, 0x0076fdff, 0xcf59369b, 0x082a532b, 0x92613eb5, 0xfcffc9ca, 0x0516c92a,
+    0xb6727f29, 0x7a25bcd0, 0x669e0401, 0x1b7a9e61, 0xd68972be, 0xc920cbc7, 0xa8b0dd8a, 0xb26e2e84,
+    0xafb1a62a, 0x450cfa78, 0x31f9d86a, 0x94e209bf, 0x86902b6f, 0x471a926d, 0xf063a0aa, 0xff381e46,
+    0x402a2d4d, 0x3324382a, 0x55c88299, 0xd015fb74, 0x8d8e56db, 0x0c458780, 0x28b2e319, 0xc7bb2dda,
+    0x43626340, 0xb96d5feb, 0xe5f043f8, 0xedd5bb90, 0x1898e825, 0xf49d86fa, 0xf787f57a, 0xcc1eaabc,
+    0x00000000,
+    0x80721313, 0x2cc9a4ea, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000001532495540865888858358347027150309183618739122183602176 */
+  { 0x00000000,
+    0xf86606b3, 0x6d5e11b6, 0x328115e9, 0x0255ec3c, 0xc8fcf739, 0xb61a4b90, 0xe421799b, 0x3a5f9f0a,
+    0xe3275971, 0xde12f9b9, 0xe0e9d8ce, 0xf06164e7, 0x1342f797, 0x7f20fc57, 0x20189ee4, 0xb3f46575,
+    0x187d140b, 0x7a4b2fdb, 0x88b1bd6c, 0x17b42010, 0x2ef8715c, 0xfb419194, 0x4ded477c, 0xbb344955,
+    0x5623f545, 0x8353c255, 0x3eb43e8a, 0xc0574df0, 0x94223d4d, 0x1aa8924d, 0xb5308563, 0xcd973f54,
+    0x4e332d95, 0xc38e7445, 0xc627675e, 0x34d2a161, 0x43fcc389, 0xb8b4a1e5, 0x60ba9d34, 0x0989a697,
+    0x59d30ad7, 0x22b1c5dd, 0x724ea1e9, 0x1c5bd5e5, 0x8ebfe45b, 0xfe37de0d, 0x42173823, 0x3d2a94e6,
+    0xe865b87f, 0xf42b6229, 0x4ac33f93, 0x3fe510df, 0xa7fac3fe, 0x326ede57, 0xac6a036e, 0xef43628b,
+    0x54c08c74, 0x0e7bd34b, 0xaae49d25, 0xa04e7cde, 0x8f4a334a, 0x6ea1a785, 0x0c6e2d7e, 0x6422388a,
+    0x9be4dff9, 0xfd225920, 0x09bc4935, 0x98d01d5b, 0x9f35d9c0, 0xefcbc302, 0xbaefe3f6, 0x0844be67,
+    0x559dc1fe, 0x3c68f385, 0x04d91e8d, 0xae19e17c, 0x71e42f48, 0xd84e4b38, 0xfef3d2a0, 0x54083301,
+    0x9e59c2de, 0x53148f54, 0x27795e64, 0x9d18243b, 0xcd734718, 0x79a73a0a, 0xe63d4731, 0x40f5d854,
+    0xd925fdcf, 0x3689c82e, 0x5a7b81e1, 0x9b07d133, 0xae5436f1, 0xa3e3afff, 0x5952cc7b, 0x37cc0b1a,
+    0xd595f05e, 0x1f043743, 0xe84ab0a4, 0xe20b2b94, 0x2c28ebaa, 0x8c21f983, 0x42d7eab7, 0x6e5f2b53,
+    0xb3f56c46, 0x1825df8a, 0x2f14c6a0, 0x48ce925e, 0xe579ac79, 0x7c127225, 0x418f9f1f, 0xe004f012,
+    0xc98228d4, 0xe53c0250, 0x6d983de3, 0x77081928, 0xb024691c, 0x99da9fb1, 0xe47e2977, 0x73b1913a,
+    0xb2d5a95f, 0xd046963d, 0x9f0adc19, 0x995a7d57, 0xf5d510c7, 0x7146e2eb, 0x8e2658bf, 0xd2ca1891,
+    0xc59175de, 0x930fd8bd, 0x5ddcb76a, 0x2c408b94, 0xfda0e6ad, 0x13ae6b79, 0xc1686ee5, 0x2a72202b,
+    0xf6bd5f77, 0x0f9169c2, 0x396ada9b, 0x67f55f6e, 0xe2fa9bcc, 0x632e314c, 0xa85a84ff, 0xaed176e3,
+    0x3a8aeffd, 0x3c2c6956, 0x4e64d6be, 0xfd4e1a72, 0xbf7c34c3, 0x57c6654b, 0x228c28a1, 0xfcc3cf49,
+    0xcca2e4a1, 0x43a5392b, 0x6301c14e, 0x04211aa0, 0x6909bb91, 0xbb91312a, 0x929b0aa7, 0xcbf815c4,
+    0x954ee618, 0xb05df98f, 0xe6c09b71, 0x9b21388c, 0x867e830d, 0xdf452b62, 0x3bc2ce56, 0x6b0b5fc9,
+    0x848fce8d, 0x310576a6, 0x9d86055a, 0x34955742, 0x16b38155, 0x914cd5ad, 0xfe455cd2, 0xd8e8169d,
+    0x1e1a78fc, 0xb91f36d9, 0xc96240c8, 0x30a64bc5, 0xa76891a1, 0x699ed5fe, 0x2f39a34c, 0xb7a3d262,
+    0x01dde025, 0xc602ec9c, 0xe791fc52, 0x06b29681, 0x0aca95fe, 0x539194fc, 0xa88a8aec, 0xab93d416,
+    0x9bb8ba17, 0xb5254ff5, 0x30422a04, 0x7adc87f1, 0xfea5124a, 0xa2dc69a5, 0x3fc68516, 0xd2d8c7ff,
+    0xada406fa, 0x81816525, 0x86523090, 0x321b2a77, 0xe0a518d9, 0x90d8075e, 0x55e3b44b, 0xf183cb9b,
+    0xad4828ed, 0x98d6acc5, 0x7d3acc35, 0xb503499a, 0xc74a0744, 0x022f7e2f, 0x976ad27a, 0x44440603,
+    0x871d4ee3, 0xbffe6cc6, 0x331ee1e4, 0x8dc7f849, 0x5dfcbca6, 0x2e0e913c, 0xedb956d5, 0xcd711b14,
+    0x3bd29e90, 0x0e14ba03, 0x8c0d43aa, 0xe0307b5c, 0xdfa5cd30, 0x4e7bec78, 0x40cdc924, 0x101345bf,
+    0xd3a6e65d, 0xb734c2b7, 0xbb950f38, 0x14070446, 0xfd140b4b, 0xb9e40afc, 0x28a75e83, 0x446187c6,
+    0x7843f8c1, 0x08c76a11, 0x3fe63e07, 0xe8a8061e, 0xe2f4277c, 0x74b3dcdb, 0x6fcef031, 0x4e989691,
+    0x7dcf97c6, 0x49ebb8ce, 0xa9dfd5f0, 0x9c019e08, 0x4ea58074, 0x4dfd818f, 0x69083657, 0xde900102,
+    0x91fa5841, 0x6b56f28e, 0x8e5e9556, 0x3272a033, 0x78d1987b, 0xdde30368, 0x15ad4ff3, 0x4cd00ef6,
+    0x27a00960, 0xd9f18ca0, 0x66f77ca7, 0xefce247f, 0x3e24ddd5, 0x2f69e994, 0x2fd94884, 0x43003534,
+    0x91b79a59, 0x219606ed, 0x5b6d7f90, 0xaa42926d, 0xfd8761d5, 0x5821d9ba, 0x840f17ee, 0xb811158d,
+    0x61090ce3, 0x99511bda, 0xd824bd95, 0xca78b06e, 0xa615878e, 0x19bb47bc, 0x0caa393d, 0x05bc6166,
+    0xbd589266, 0x083f4005, 0x6d72d638, 0x3682f6d6, 0x42f7990b, 0x4a26edc3, 0xc8f7da5f, 0x6940ae35,
+    0xdec001ca, 0xc2913ec1, 0xce7a4164, 0x960928c6, 0x6b266589, 0x5c12ec7e, 0x20738f7d, 0xa21d2056,
+    0xe2d25836, 0x6fef6929, 0x459154f6, 0x5b339c81, 0x5cf07e44, 0x2457e344, 0xcd5c7a31, 0xfd2805d3,
+    0xbdbab4bd, 0xe9e8e15e, 0x879e5c4e, 0x3a3d5ab2, 0xbedb9e16, 0x2d21ba42, 0x6506c332, 0xdd3aff18,
+    0x82bf547c, 0x712ef1a7, 0xad9e7b61, 0xab223373, 0xa3740102, 0x4b6112fe, 0xdbadc23b, 0x2414010e,
+    0x5fbb39f1, 0xc3699412, 0xf14c2ecb, 0x2c60c7ab, 0x12eef371, 0xfc7a30e5, 0x22e38096, 0x01ccb717,
+    0xc2337bde, 0x87748436, 0xa22da204, 0x831c67d7, 0x3325b1cd, 0x6cc940d9, 0x0396af39, 0xf8a7a9da,
+    0x31805f25, 0x5e16b719, 0xcc148d5b, 0x5b534c26, 0x08085d76, 0xb725f883, 0xd4a71a7f, 0xd0ad1486,
+    0x803128ae, 0x5df36e09, 0xf393892d, 0x2f1fae96, 0x1c4d992b, 0x6239a34d, 0x2fa7d04b, 0xaa39a3ff,
+    0x21f3cb62, 0x83cdf101, 0x144788af, 0xfb5adb94, 0x79655acd, 0x9b1479ef, 0xdf389758, 0x6e2e9ccd,
+    0x917a3e54, 0xe0d86f59, 0x6a05fafd, 0x44d417fb, 0xc42f7efd, 0xbe803282, 0x16e4a3c7, 0x9aca5fc8,
+    0x41b415ac, 0x6fdc2361, 0x99ed5515, 0x12fc527c, 0x748512c4, 0x2f741a49, 0xcec849a0, 0xfaf11554,
+    0x5df195cb, 0xf9d0ab09, 0xfb4d6890, 0xb847942a, 0xae4b2253, 0xe0fd768b, 0x376b6499, 0x8df974fb,
+    0x4beedd9d, 0x43fe2e32, 0x7f834771, 0x3e37aa38, 0xcdc18a8e, 0xe387d39c, 0xa0567851, 0xe94de1fc,
+    0x5eb5950b, 0x1a51434d, 0x5e1cfab1, 0x1b9bdeec, 0x5498c6bb, 0xb236c3fc, 0xcb069494, 0xa9394712,
+    0xc8bdf4f0, 0x76880167, 0x56afcfe1, 0xa35223ec, 0x9d41400a, 0x313b7727, 0x08729e75, 0x079d90a2,
+    0x69764e9c, 0xb6d0e8ef, 0x75de004d, 0x3409c379, 0x2fdf9617, 0xb9a691e0, 0x291ccf2f, 0xce61d290,
+    0x115ac7af, 0x03dcb813, 0xda1e72b0, 0xfe577bd8, 0x08b7217e, 0x3288685f, 0x7c51e0f9, 0x698f9f51,
+    0xd27b6db5, 0x215571f6, 0x9087a888, 0x9afd377f, 0xcb986584, 0xd3d55efb, 0x505eb2c9, 0x8cad2da3,
+    0xa105dab5, 0x43e37ce4, 0x5dd32edf, 0x84a2cf41, 0x9b69d3bf, 0xc5c676c6, 0x8e85e0c9, 0xf658a485,
+    0xae05d626, 0xb608fbf6, 0xce0ef2ac, 0x310474f0, 0x14f79240, 0x61ac00e7, 0xa50c77d2, 0x9dccd833,
+    0xb53da337, 0x193d8507, 0x93c6920f, 0x3b243461, 0x135df9c4, 0x8debe18f, 0x75eaad59, 0x7e985cfe,
+    0xbf40ed3e, 0xa347f179, 0x9cf9fdfe, 0x767913f3, 0xca57fbb4, 0x70af3d41, 0xe3a1635f, 0x3de8f71c,
+    0x5fd72612, 0x53f61c92, 0x92fae43c, 0x005082c2, 0x62d7534a, 0x1a02bd2d, 0x126b2163, 0x0cdb6f58,
+    0x8c6efe6d, 0xabd6f915, 0xb151cf03, 0x1542cb69, 0x998f03dd, 0xa6aed775, 0xb3996c5c, 0xf5254e2d,
+    0x32b5ae78, 0x56e578b8, 0x6b7c5eed, 0x8c54233b, 0x9dcc741c, 0xee71a665, 0x25011c54, 0xc496b663,
+    0x1843428b, 0xfaebfae4, 0x725dc12a, 0x9d44a058, 0xee6b8915, 0x4c2324a3, 0xb9e60261, 0x7bab78e7,
+    0x40f3c68b, 0xba87ddda, 0xc06eab06, 0x705d1560, 0xe3f01cc7, 0x43b95a40, 0x57413002, 0xb2252910,
+    0x7aac3aa4, 0x348155ad, 0x0c115cc4, 0x9d2b124b, 0x2cd7b714, 0xf50d68bf, 0xd54a0a34, 0x66b0a76f,
+    0xccec1fbe, 0x51ab3918, 0xf85ef375, 0x61a58c06, 0xc75ce3d9, 0x263addaf, 0x5152f7bc, 0xd2b8695a,
+    0x85f0450e, 0xaa3698fb, 0xadddfde0, 0x0feb3c5e, 0x57cbbb1d, 0x94d334f8, 0xd7024f94, 0xcffc7751,
+    0x4b3cf2a3, 0x588c2417, 0x1c45607d, 0xcdeadad1, 0x0da34001, 0x7b912670, 0xb98cdead, 0x1023e906,
+    0x6351a343, 0x0abd89e4, 0x9f8be6e4, 0x31d958cf, 0x33ed7632, 0xbfa2c24c, 0x79acabc4, 0x25631f81,
+    0x422c3f65, 0xdd53ffcd, 0xd2434664, 0xc0200441, 0x21de3d7a, 0xb19f4097, 0xb453cb2d, 0xbc4ee468,
+    0x9f2967c4, 0x3e92edeb, 0x96face7b, 0xafe869b5, 0xff5234c5, 0xeb91ab73, 0x5c6f7b0b, 0x38c6fecb,
+    0xace547ce, 0x4f9551d3, 0xb3fea1d9, 0x6403fe96, 0x9b3b87f0, 0xcb311427, 0xa0e4a8a3, 0xe12fd73c,
+    0xf4fe7778, 0x07339e25, 0x48449101, 0x703feec3, 0xb2994179, 0x86b28b9e, 0xe0a2a091, 0x5a0f8f4a,
+    0x76e8f5a2, 0xec796c64, 0xa99ee486, 0x455f65af, 0xd5a37ce0, 0xe0da8558, 0xe706c6cf, 0x7a56f4bb,
+    0xcdfb49ca, 0x6c4c0290, 0x98ecf617, 0x667ce038, 0x1e285aa2, 0x39a37ad4, 0xdd73ce46, 0x1f877c44,
+    0x44de4626, 0x398ac596, 0x7be8ae60, 0x8720d9c2, 0xfdccce0b, 0x3f5f021e, 0xe260c7b9, 0x52e03382,
+    0x6d8192e3, 0xbbe23bd2, 0xe3618517, 0xa84eb67b, 0x4fd9799d, 0xb1bf9847, 0x52343bd6, 0x841db7fc,
+    0xbe52228f, 0x1f85b66d, 0x6fd83d2a, 0x15990c4f, 0x94d45a40, 0xed765bac, 0x844774b9, 0x8abe32f1,
+    0x63085895, 0xc3d07391, 0xcd134e2b, 0x7fc8bdbe, 0x1b1a3f64, 0x011730b3, 0x9165c071, 0xfcebfff2,
+    0x3935e4ab, 0x3355ae67, 0x3351708c, 0xcccb0a6f, 0x26f72608, 0x82b0b023, 0x65fb28b3, 0xb1ddaa62,
+    0x2884e4a6, 0x59aefd49, 0x39fe2211, 0xcf4a061f, 0xfe53368a, 0x4696f612, 0xf4b36022, 0x43f71df4,
+    0x4f395485, 0x30d93bdb, 0xf665e2b3, 0xaaa93e48, 0xf9f548c5, 0x73275af6, 0x36badf7e, 0xa977bcbc,
+    0x057fa277, 0xfa29a5d4, 0xe7296a50, 0xdc29532c, 0x41343289, 0xbdcbd296, 0x772d2c6a, 0xbe28b036,
+    0xd8f8fb8e, 0x45d0e168, 0xf8c218f4, 0x6c21bbdb, 0x48cceffa, 0x5678e7d0, 0x96318a03, 0xea59f607,
+    0x7ebda010, 0xecad8002, 0x28a062f4, 0x3d8a9bf3, 0x947e17e1, 0xbad6f278, 0x221ad6f6, 0x33b9d73d,
+    0x894dd857, 0xa283b5e5, 0x7244e671, 0x877cabc1, 0x97f89f67, 0xe6632c29, 0x7f0b158c, 0x14b57cd5,
+    0xbccf2177, 0x927897a8, 0x2b5fd0e9, 0xa3f82168, 0x663ebca9, 0xf8792446, 0x33da9b06, 0xaf4aa70f,
+    0x3b1c26ec, 0xe227f5c5, 0xd0eeba3c, 0xb690c46b, 0xdbf46405, 0x47a42d0d, 0x9b1ef81b, 0x0961a265,
+    0x2b08a990, 0x0f833b64, 0x893dbe89, 0xbc22a0b7, 0xd458b807, 0x6015b9d3, 0x8775550b, 0x13cce0f4,
+    0xb0d258ad, 0x2ef12b91, 0x7c1c650a, 0x2d4a6e8a, 0xc926ac73, 0x69370bb2, 0x5a3178fa, 0x79d4352d,
+    0xb9183517, 0xfbad57c3, 0x695d9e05, 0x6f3d3d41, 0x6f7f19a7, 0xc46f2602, 0xda9b9bc0, 0x807450bd,
+    0xd5667644, 0x2c3de971, 0x9aa5896e, 0x0b44df38, 0x41fb9635, 0xb07d13b3, 0x0d7b9b06, 0xf7ca4ef8,
+    0xf828d0aa, 0xa80d0608, 0x9a47929a, 0x4d662357, 0xd19a628d, 0xb42da868, 0xb2fd1d7b, 0xa2cca000,
+    0x77495b25, 0xeb92a6aa, 0xbac90968, 0x29c7f3b0, 0x7490fb7e, 0x0cb3d9d7, 0xa8b2af79, 0xf24edd4f,
+    0xc64b044f, 0xb0dc6092, 0x7419d424, 0xa137d6b9, 0x50c084ae, 0xb502ce66, 0x7a90408c, 0x6896a168,
+    0xbc83819f, 0x6cc0d37b, 0xee017d39, 0x70fef0d7, 0x051259e8, 0x1b6711b2, 0x6841dc17, 0xca77baef,
+    0x6df13669, 0x71c0d175, 0x4b0dcb11, 0x681dcf2b, 0xbb309091, 0x05d63e82, 0xf0c718cb, 0x4d23b234,
+    0xfeed7f8c, 0xbdd61ee2, 0xae7c9ff2, 0x2a68d0a3, 0x2d722dd7, 0x6551df08, 0x2a6c9f73, 0x55976176,
+    0x458875ed, 0x17bfc1dc, 0x6cf349e6, 0xd3e9b62d, 0xadeb6100, 0xcd7b09b3, 0xb7982bf6, 0xe8f3a1d9,
+    0x0a191c2b, 0xaa114d1e, 0xaf305ddb, 0xe211574d, 0xf8607dd8, 0xbf3ef273, 0xb7d0802c, 0x0bdf47e7,
+    0x4bb996bb, 0xe2c1f69a, 0xda7fac68, 0xcf5b2dc9, 0x6ad42d7b, 0x72271465, 0x6a7c071b, 0x29370ec8,
+    0xcc94f3ee, 0x30e7debd, 0xbac284e1, 0x0213b679, 0xbf134bd2, 0x52a3e6fa, 0x930fc149, 0xefdd9a7b,
+    0x8470dd9f, 0xf8119168, 0x75088c3e, 0xdf90ff56, 0xf6ef1131, 0xf531c4fa, 0xfebbe8f8, 0xc8b4e773,
+    0xc6aee031, 0xfaf0dd60, 0x8020184b, 0x032039b3, 0x3ddf1624, 0xe3ba47d6, 0xc23b1b5b, 0xf92508e4,
+    0x51038bda, 0xa8e896d5, 0x8fcd486a, 0xca06a4c0, 0xc7289349, 0x5a681ed8, 0x86057401, 0x1c0c5614,
+    0x5c15235b, 0xcbce703e, 0x2fff3978, 0x717f6f23, 0x5015ae61, 0xb90cede5, 0xb5b6ce12, 0x657aff6e,
+    0xf89e0e85, 0xc97a4090, 0x2cf868e8, 0x7de27877, 0xcf472321, 0x23b05ecb, 0x2d269d09, 0x10cfe21e,
+    0xae61fd87, 0xfc19b2e4, 0xde72f0e5, 0xd5e9a996, 0x157932f9, 0xa607e718, 0x9c0ef8a1, 0x024c0114,
+    0x601e997e, 0x69ee4153, 0xfe1df77d, 0x045becbb, 0x43bdddf0, 0x879fc183, 0xabf24727, 0xc348b023,
+    0x0446c3c1, 0xbfc84770, 0xf5b34b35, 0x0282ff15, 0x730e7a60, 0x074c061d, 0x0f064788, 0x46caec31,
+    0x02e91bce, 0xcc4bf370, 0xf96f906a, 0x080d9df2, 0xdf1fa9bc, 0x4605d5a6, 0x3659e005, 0xb261789c,
+    0x04ec6ca2, 0x4f9c048f, 0xeda94a37, 0x4480d50d, 0x2ed4d3d6, 0x3ca9e07c, 0xb4d9d1b7, 0x7bac9c4e,
+    0x907708bf, 0x3e8262d3, 0x1a30b882, 0x25dc1dfe, 0x48de5421, 0xc23eef01, 0xb30a06ba, 0xeb4d8d6a,
+    0x9c238d16, 0xcc7b2697, 0xd6c0c088, 0x2614ac7c, 0xa018b1b4, 0xcc23f863, 0x3a62a6ae, 0xd3abb1c8,
+    0x655cc93c, 0x3afdc1b1, 0x205c3105, 0x6d2a74d3, 0x63565daf, 0x5843eb8d, 0xe069f833, 0x697b0f14,
+    0x8fd1411f, 0x8097ab34, 0x5c3dcdd2, 0x0450eb3b, 0x85c19506, 0x7d241a3b, 0x0ba57596, 0x25305259,
+    0x49bec875, 0xb997388b, 0xa62bcda5, 0x4b48fe70, 0xcd5c7b38, 0x2944daa8, 0xaad6c98b, 0x1025b668,
+    0x5e6d77f3, 0x7764b473, 0xe878b508, 0xe2f1f0e6, 0xcca94aff, 0x0e24861f, 0x10be1a1a, 0xc0dc4805,
+    0xf087e764, 0x0daedb7b, 0x65370257, 0x3b768529, 0x0b4336f0, 0x4423c848, 0xd1c39610, 0x9c5e6c55,
+    0x342c4dd1, 0xeca8ddcd, 0xda668842, 0x6124feba, 0x8e3bd0ff, 0x301f89f3, 0xa6753b3f, 0xa4b05a77,
+    0x11f001f8, 0x36b5ae2c, 0x01df94fe, 0x7e80d4a5, 0xff6dc29f, 0xd5734214, 0x30dc84c1, 0xd415fb89,
+    0x365f125b, 0xde436c0c, 0xe41fe502, 0x22eb1238, 0xaf75ef55, 0xca1c0b92, 0x4e61597f, 0xc091ecfc,
+    0x2bc332df, 0x5f1dbf3c, 0x9ada47c8, 0x4ff5e712, 0x89d4fb47, 0x1b34dea5, 0xf02acdd3, 0x884e8ac8,
+    0xae931be8, 0x03575910, 0x22bfc749, 0x4adce4ee, 0x91aced71, 0x7757a88c, 0x9bb2af38, 0x6539fcc8,
+    0x0091615a, 0x032fab80, 0x7e81f087, 0x1348cc8f, 0xe661b51e, 0x403bbcc1, 0x468e3393, 0x9e3efdd0,
+    0xae430041, 0x90b4c0b7, 0x71a5928c, 0x4e33866a, 0x013363cb, 0x40904dcf, 0xb98f11d1, 0xa1a3b763,
+    0x00000000,
+    0x40390989, 0x9664d275, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000766247770432944429179173513575154591809369561091801088 */
+  { 0x00000000,
+    0x394449ec, 0xf9fa28cb, 0xd98f64a6, 0xcb93cbe9, 0xbca4be67, 0x5f42b9d0, 0xc1306c58, 0xdbb735b7,
+    0x70f4f114, 0x93ce006b, 0x85e68623, 0xa2016bc9, 0x6795478b, 0x0ec95800, 0xf5b9a2e2, 0xe77dd849,
+    0x7d9e7c77, 0xf6d454eb, 0x66a6e855, 0xc8fd8bf9, 0x8d63ba75, 0x8728914c, 0x7b8dbd7b, 0xb3035bfd,
+    0xd9ea0975, 0xd868c72e, 0x2c62721d, 0xb13ab96c, 0xf5138e4e, 0x79cb0b69, 0x26ecc2a4, 0x0a54e6cc,
+    0x6a11286a, 0x6d4975a9, 0x067c7820, 0xa961a0fc, 0xaf90bf29, 0x0b42ead0, 0x6ce82e6f, 0x094af166,
+    0xbda60487, 0x3e2f7dc9, 0x92d2e7ed, 0xfc62adc0, 0x1de445f0, 0x6e9f9304, 0x40d6f510, 0x2c994845,
+    0x4de58625, 0x4043c022, 0x983eaf45, 0xa9d65d93, 0xb130b120, 0x5a1d1acf, 0x777aadc6, 0xfd269eb0,
+    0xf37eb68f, 0x7046dbbb, 0xdac7dbaa, 0x59d2c918, 0xd391bbe9, 0xf8186edd, 0x2446a024, 0x10c56bbe,
+    0xdc7be7f8, 0x24e129b9, 0xb0423e14, 0xd465d4f1, 0xb7737ea8, 0x8f6151bd, 0x44d364e5, 0xc45f1ee0,
+    0x2d33ff14, 0x20cced9c, 0x7df0293a, 0xff1ef70e, 0xeda3b719, 0xd5ec91b1, 0x46644008, 0x8a240c09,
+    0xfae85fae, 0xe5ac127d, 0x509b4e10, 0x37e0aec8, 0x65a64741, 0x6342d928, 0x57613393, 0xd6c197cc,
+    0x8459ddf4, 0x46864edd, 0x5b4f02de, 0x6211dede, 0xfb0c5201, 0xe211b559, 0xffd1c66f, 0x16a7a212,
+    0x2dfe75bf, 0xb11afba4, 0x31289b0f, 0x6f08cb05, 0x535620c5, 0xcc14f8a6, 0x668e4922, 0xb3602035,
+    0x26714176, 0xe3795fd1, 0x5d1a1f28, 0x27f52988, 0x45cd4893, 0xc24aa000, 0x642b65fc, 0x75e815bc,
+    0x00074ac4, 0x6aa2e165, 0x7fab733f, 0x6a489589, 0x532aa061, 0x5c40cbaf, 0x5f7609a1, 0x155de4b1,
+    0xd5936e4e, 0xe692dca2, 0x9c8ab929, 0x2b692c86, 0xeee6149f, 0x7f0cf740, 0x80d1cc8a, 0x901a779c,
+    0x73525f0f, 0xa5db822c, 0xd41b3951, 0x612bd583, 0x7ec81a5d, 0x5d25a8a8, 0x14f9c04f, 0xb78f0aac,
+    0x2cc8c229, 0xb8d7be02, 0xfa035abd, 0xa2b442a5, 0xea9180ca, 0x7b7857fb, 0x17c832d1, 0x3d2d73fd,
+    0x1475b4d9, 0xa24a8a8e, 0x5bce5ca0, 0x98e1a610, 0xbf94f9e7, 0xd9870231, 0x5fb717ed, 0x6187ef2e,
+    0x5abbdafc, 0xb205ba28, 0x66a67987, 0xe47176eb, 0x459a1b70, 0x146501f9, 0xddef7fd8, 0xcc8caf7f,
+    0x0db7140b, 0x32c8b1b0, 0xfdf4e916, 0x12a27201, 0xb7cd7b09, 0x992bf362, 0xabb4ca3a, 0xfac83ca6,
+    0x2d0b1377, 0xaa3569cb, 0x3e3d90c9, 0xe3dbcc2f, 0xa252e9fe, 0x2d6adb39, 0xb2185846, 0x96713050,
+    0x23bbe29d, 0x89780623, 0xe47e4410, 0x8f514287, 0x8f16d161, 0x8322fc48, 0x7c03d914, 0x5565f92b,
+    0x4ad01571, 0x195634fc, 0x55e02dd0, 0x6f1759bb, 0x0cc988de, 0xb55c67fa, 0x57435546, 0x33a08cb0,
+    0x6c87b73a, 0x0ffba9b4, 0x7dedea30, 0x913a63f8, 0x9d0956f7, 0x47c57b91, 0x7334f77f, 0x722d06b3,
+    0xabc0a840, 0x48d15d64, 0x0bcdeae0, 0x1f0a7fe9, 0x41ab0bbd, 0x85c8b192, 0xdbb506ea, 0x6934f160,
+    0x6269739b, 0x3ef59001, 0x3513e997, 0xc2e2d955, 0xb73d09ba, 0xad031942, 0x73926265, 0xb2307147,
+    0xe68c9f82, 0xc310df91, 0x2da139d8, 0x06dc124b, 0x2e75242a, 0x597eb552, 0x014ce426, 0x1a8bd0b1,
+    0x947c3019, 0xd78bc7e1, 0x2910f9af, 0x71f3be24, 0x5a124581, 0xdfb2cc47, 0x915c0da3, 0x73c67d9e,
+    0x61b0e6e1, 0xe0624a6a, 0x3f9a952b, 0x66144bc4, 0xb3d44832, 0xaa6aac56, 0x587a64a7, 0x23a63ceb,
+    0x6327ff3f, 0xa3824439, 0x52a018e5, 0x445b7286, 0x42dfb3be, 0x4ad57f08, 0x75bf785b, 0x1754de7a,
+    0xa4c53268, 0x7959843d, 0x533ec5ab, 0x86bb49f1, 0xf23a0daf, 0xdcf4be05, 0x0896733a, 0xae8653ad,
+    0xbf1a63aa, 0x8916e87a, 0xb4562da4, 0x9e59ef87, 0x3e88650c, 0x3e48ad53, 0x746c9a76, 0x8b0e6205,
+    0xbb0ec4af, 0xc4c967e9, 0x29b5dccf, 0x0d32d4dc, 0x3aecfe37, 0x73b094bc, 0xd41ab892, 0x3385c427,
+    0xb0680313, 0x15d3658a, 0x19e62d04, 0x28a882ac, 0x54c295e4, 0x6705ce91, 0xa898ead1, 0x51c974f3,
+    0x2e91cab7, 0x4bfb1f7d, 0xf0678b71, 0x2b19dd7f, 0x8b5462f7, 0x10873e44, 0xd156d468, 0x4407d751,
+    0x7d5151fb, 0xa56075b6, 0xbf548e3a, 0x65e2fac5, 0x6f6f3e67, 0xb753f23a, 0xe148a10f, 0x00b63466,
+    0xb9fa34ae, 0xf9d2ec1b, 0xe952bc98, 0x89f364d0, 0x30dea0af, 0xa129c0ca, 0x587c03ac, 0x178ee023,
+    0x6e9c5512, 0x2a744f47, 0xa3a42f77, 0xfccde3a7, 0xec60d7d2, 0xdb2ceeac, 0xa838a834, 0x02a2926c,
+    0xa4541976, 0x5e3e9c3d, 0x32d29164, 0xcc3e77ff, 0x8584278e, 0xecdba791, 0xbd29228d, 0xaf7d3ca3,
+    0x1559d6f9, 0x8432969b, 0xc626876c, 0xfe8be128, 0x25301331, 0x0d43e0ed, 0xcb64d5bb, 0x088f9f4b,
+    0xba439097, 0x63dd6290, 0x126150a7, 0x8116c552, 0xa2413ec9, 0x743e804d, 0x0a756461, 0x92e8f647,
+    0x40bd8dea, 0x196f4c0b, 0x21205d02, 0x6fb46eb4, 0x2c3959a9, 0x956adf8d, 0x29c3658d, 0x8413aefc,
+    0x95bd8911, 0x33134090, 0x8678481a, 0x091e498c, 0xa722022d, 0x5937bd26, 0x1ad38d4a, 0x20e7d8c1,
+    0x4c6adb83, 0x56a52d68, 0xad20cdd3, 0xff280a1a, 0xeba5c291, 0x66b44675, 0xa2b5a0b0, 0x3a26215a,
+    0x80068d09, 0x3c3e006b, 0x74e808af, 0xc46619c0, 0xc187bf74, 0xabf73da9, 0x8151a479, 0x19f4af8e,
+    0x2b0bd808, 0x6fdb8206, 0xfd5e35d5, 0x7becc6a9, 0x045e306c, 0xb8262e08, 0x13437ce3, 0x8b954910,
+    0x6e4152b0, 0x1fa6aef8, 0x7b8d4c73, 0x2cc021d6, 0x16d517f7, 0x0b980be5, 0x97054355, 0x456d52aa,
+    0xd98ebed6, 0x4d5be3c9, 0xaf62f8f7, 0x3b2fca0b, 0x08d25eea, 0x961ffcb5, 0x1a8e2ce1, 0x7aa47985,
+    0x82995932, 0x3e4646f7, 0x3455a33e, 0xce66e7d0, 0x7e6e233e, 0xf891d67a, 0x767700f1, 0x32f47598,
+    0x956b103f, 0xc1d8bfef, 0xb55a34a7, 0xe0c2046f, 0xf9813902, 0x72ff9ab7, 0x46eb583a, 0x620b6017,
+    0x9d438cf6, 0x8ba7ed48, 0x93fed450, 0xdc4bc7ba, 0x8cd0a142, 0x566858f7, 0x302fced1, 0x41150761,
+    0x94ee3c76, 0xe0278c6a, 0xab2e5db7, 0xe9a12e24, 0xa9da8410, 0x699acd2e, 0xb94e51a4, 0x336b9ea0,
+    0x7bc8c7ae, 0xaabe3628, 0x1a353003, 0x5d12dd67, 0x0847671c, 0xd6da44b1, 0xb8481790, 0x6cc58a8c,
+    0xb6f31e15, 0x015b88e5, 0x26e99f22, 0x414b91c0, 0x82046d17, 0x28db61dc, 0x81cd123f, 0x6906875f,
+    0x6cd8b285, 0x75d972a9, 0x6b13c5ce, 0xc34cb59a, 0x168c0c9d, 0x28b12e6b, 0xc6f5266e, 0xd847af18,
+    0xa92d2047, 0xd0991507, 0xaeff60a7, 0xd53e9508, 0xc525b3f4, 0x0255e84d, 0xf953c50b, 0x1bc6fbbc,
+    0xb7ce009e, 0xa9027858, 0xc6d55b7a, 0xf79ed488, 0xcd39875b, 0x9ad46635, 0x1417d6da, 0x9d04727a,
+    0x13df2e64, 0x0d9012ab, 0xe8510def, 0xd2907713, 0x5931fd6d, 0xc13b215a, 0xfedfabba, 0x73d08882,
+    0xe0529bb5, 0xcee83c93, 0xbfeaabbd, 0xd97af787, 0x855c5bf2, 0x05e7adcf, 0x6712d3a9, 0xeef78c39,
+    0x14a68bcc, 0x8362144e, 0x3f209dd6, 0x9a3f88cb, 0x6b7a6ab6, 0x45dfd879, 0xcf54fdfe, 0x39d816b6,
+    0xac6253c9, 0x1799a36e, 0x4ea64e78, 0xe9b6633a, 0x57ca6b00, 0xf9ae6050, 0x17363797, 0x60cf0bbb,
+    0x520c2b2e, 0x849615a7, 0x1617a3ca, 0x8916ef52, 0x9b8cda15, 0x1b0cd25d, 0xae81b9ba, 0x5ca007f6,
+    0x3599dea8, 0xe7d5e9c3, 0x9dc2f978, 0x7df03e69, 0xf7e8926e, 0x3ef26967, 0x7805f956, 0x96522911,
+    0x1c804389, 0xa20f0c3a, 0x5ea1d05a, 0x2a962fd4, 0xcd5ec431, 0x27a708ea, 0x915a19cd, 0xe0dac7f5,
+    0x6bdf56e4, 0xcaa211e2, 0xcf4aca46, 0x4ec57236, 0x78d41e4c, 0xa5307b9f, 0x0ee2334a, 0x77f4760f,
+    0xd68f355c, 0x001b2f7d, 0xda59f68a, 0xb67afced, 0xd7cd3c1b, 0x6266b11c, 0xb904030c, 0x791684d3,
+    0x3817d47a, 0xe7d9af12, 0x1c79fd05, 0x78d89c6e, 0x6a43b713, 0x73ad5c48, 0xf5ebe048, 0xb397edcc,
+    0xba6ee41f, 0xea7c9c80, 0x0dd47ab3, 0x17e49cc9, 0xe00bd143, 0x99dc5bf8, 0x0ce7f69e, 0xea4b2033,
+    0xfa742ef4, 0xcc21ec7d, 0x2cb545bc, 0xe68a4260, 0xd06804d8, 0x99bfb661, 0x49eb3cd4, 0x8685c340,
+    0x1887ad7b, 0x1017c9c8, 0x2a65ed88, 0x7f983db6, 0x0bc9839e, 0xfb50eaa6, 0xf572d704, 0xdd87afc6,
+    0xbc4751f1, 0x1fb5ef96, 0xb28fbc9a, 0x4939c03a, 0xdf62e362, 0xb5751c22, 0x7a4ed119, 0xad6cac40,
+    0x96514913, 0xf074eb73, 0xe9fe3b32, 0x0851946c, 0xf9a6e41a, 0x839053ff, 0xb8e7b564, 0xddb67d0d,
+    0x0a215d7c, 0xd18be063, 0x4d8b2c1e, 0x1060a2f9, 0xedbdc882, 0xf792250c, 0xd89b6eb2, 0xc1d2c9b0,
+    0x0b0f3390, 0xdf0a676c, 0x1f04ea9f, 0xc613c71e, 0x8948f57e, 0xd8993bea, 0x38836911, 0x21910081,
+    0xfab4f5b6, 0x99141cba, 0xda12961c, 0x339f7b9e, 0xb9e4f866, 0x15d3ce80, 0xad48724d, 0x2ee33904,
+    0x5877f426, 0x81fb0c0c, 0x66be5114, 0xb8a03c97, 0x52e001f0, 0xfb34755b, 0x5835925f, 0x1bf8de04,
+    0xa62302ca, 0x198e5c73, 0x08263236, 0x2e397f68, 0xc88fb1d4, 0x0a8ef6af, 0xdb2c48f4, 0x00faab74,
+    0x73d60eac, 0x45087ddc, 0xdce9fe17, 0x1e9c9f54, 0xab580897, 0x2019c8ff, 0x7a9f8830, 0x088b2d1d,
+    0x4a99bf0c, 0xc547d742, 0xdf190e8f, 0x424a76ae, 0x4f57fa9e, 0x7324722d, 0x0eee794f, 0x4d8171f9,
+    0xc4edeb55, 0x0f94294f, 0xd052e5ff, 0xefab83ce, 0xe3df5981, 0x035b2185, 0x9afc08b0, 0x63adfd70,
+    0x33b12dc7, 0xc53a0e7e, 0xb24bbd28, 0xc77408e2, 0x7e4eb811, 0x12c4e350, 0xa73903c4, 0xca3aff88,
+    0x0683be76, 0xcd134347, 0x7322df26, 0xe07ce515, 0xaca5f535, 0x867db7ba, 0x83d500a5, 0xad415fbd,
+    0xa282d347, 0xf4871e4e, 0x0a5d59d3, 0x5b732404, 0xcdda86dc, 0x4c6a1688, 0x9d5b5b97, 0x16c27a8c,
+    0x6ddfded7, 0x2ed2333a, 0xd0699167, 0x8972293d, 0x5282e5e8, 0xb1c73b28, 0x2a6da499, 0xccda125c,
+    0x8ea32803, 0xf8a9d2a7, 0xe23daeef, 0xd70a1c45, 0xb3813571, 0x5650d2c2, 0x29c82ec1, 0x2f8423a1,
+    0x151fa891, 0xf48a7a2c, 0xbb8f9518, 0xcac71c84, 0x8961c5d1, 0xb93a39e3, 0xcf764812, 0x65daef90,
+    0x0162b8cd, 0x637236d9, 0xeea78fdd, 0x5159ef44, 0x860d436d, 0x8ac7f716, 0x197fd462, 0xe248d3be,
+    0xa0b34604, 0xe066eba7, 0xbf885f37, 0xaa2e36e6, 0x4f64423c, 0x60149289, 0x282f3b96, 0x3128bb64,
+    0x57002fc1, 0xd1da928d, 0x18b0d9ae, 0x5bf63680, 0xb458d153, 0x732748d3, 0xbeecb696, 0x2eb3042c,
+    0x7f24fabb, 0xe229e66b, 0x9a291d79, 0x10a04455, 0xf01ee037, 0x350e85ce, 0x7ee407de, 0xdaf4155e,
+    0xb645e40f, 0xf8862e19, 0x40867522, 0x61487fbc, 0x3a5033e8, 0x4a3e6e63, 0x659635af, 0xde0185fd,
+    0xd379296b, 0x209803ef, 0x2bbec3ca, 0x544a5d7c, 0x05971076, 0x853e9d8e, 0xc284ef6c, 0x936d3e04,
+    0xae6b636c, 0x03582c28, 0xcc66b49d, 0xe3d204b4, 0xfb06f4fe, 0xc3d61045, 0xa7b9f7f0, 0x65cb21aa,
+    0x1de8208a, 0x82d06df9, 0x13b6139a, 0x7d2aa53b, 0x7bf5c030, 0xe682d070, 0x77ac983e, 0xae5abc8f,
+    0xeeb70ef6, 0xb3054ae5, 0xdf894657, 0x4a6a2bac, 0xecb31430, 0x21291e8d, 0xa4b87b79, 0x16995c8a,
+    0x771800d8, 0x5d7df879, 0x82ba7e16, 0x3d2bb5ca, 0xa09647d4, 0x41b80e9d, 0x72475706, 0x69f6d7fb,
+    0x101f3e98, 0xfe520dea, 0xfd26cfbe, 0x157c05a2, 0xf809035b, 0x3116b0aa, 0xe0a68950, 0xb04b4f13,
+    0xd123ff48, 0x81318b0c, 0x31978c8e, 0x6c006055, 0x1902f35e, 0x1214ad39, 0x8cfa4720, 0xf162ec3a,
+    0x8af084eb, 0x88861a54, 0x37aa9b09, 0xaaa00dfc, 0xa4cd7da4, 0x2401b045, 0x7f5144c5, 0xea96e3ed,
+    0xba7a12d8, 0xf9c3c965, 0x6538d571, 0x38aa4b71, 0xb870e7ad, 0x99802204, 0x8cae4859, 0x326647a3,
+    0xd10d2ed8, 0x9c833a2b, 0xb8d958d4, 0xdd6f5a24, 0x951e9f6e, 0x833e100d, 0x97863486, 0xa7cfa064,
+    0x3731b19b, 0x9da2b5db, 0x949037c5, 0x728692bc, 0x5eb9d559, 0x452ce406, 0xa02e9617, 0x337bacd8,
+    0xad275375, 0xe0dfa7b1, 0x4ab5b2e0, 0x144726e2, 0x19f9e969, 0x8a808854, 0xdcb30494, 0xabea6086,
+    0xfb58ee47, 0x7a1eb399, 0x8e9aa74b, 0x236b295e, 0x6a1cd424, 0xeb0064dc, 0xe782ea98, 0xf8c91c6c,
+    0x44c18372, 0xf8d20974, 0x6012740e, 0x204684b4, 0x606c7767, 0x00de56ee, 0xa13c5d02, 0xd337b370,
+    0x24edc43f, 0x5a9b2673, 0x8412ddf8, 0xddac7e82, 0x9e10c309, 0xbac4d2bb, 0x55702e1b, 0xb6e69f13,
+    0xb9c9a14d, 0xbabf0996, 0x460d465a, 0x5e50665c, 0xe0752832, 0xac9c7d14, 0x0d326b8f, 0x9a26d56e,
+    0xcbb92a1d, 0x719fad26, 0x5fbd3779, 0x159826d4, 0xae661805, 0x9b211125, 0x7e74d771, 0xab13228b,
+    0x628d2cf0, 0x8e591859, 0x3295b64d, 0x31905109, 0x40fcccba, 0xe3bb0a81, 0xcec08736, 0xe9dc6db2,
+    0x1a5f8b0e, 0xd2124938, 0x637eb7ff, 0x317e2e44, 0xff54bac4, 0xf6e16069, 0xfaafb537, 0xbb1c6c47,
+    0xfc87a685, 0x7099c1ec, 0xfb4d14f6, 0x06cdddbf, 0x2ce69cff, 0xf4a32bbf, 0x0bd48b18, 0xb3a92da8,
+    0xe0b29da6, 0x96882b51, 0x43569ceb, 0x302da3ec, 0xa827e3e8, 0x579e76c7, 0x82432ce3, 0xb84e3e29,
+    0x37cb7924, 0xe8039b97, 0xebe27a5b, 0x97726df1, 0xc79d59cc, 0xd56e49ea, 0x1c616c78, 0x07a3f17d,
+    0x9fe3f28a, 0xeaa32b06, 0xe43e93b1, 0xc5781178, 0x5ff0592b, 0xf07a13c0, 0xd381ecf5, 0xcf90157e,
+    0x8e73ce76, 0x431351f2, 0x855cd560, 0x993f03af, 0xd4689af5, 0xf5b0971d, 0xd1f5693a, 0x0ad58aad,
+    0x4368076d, 0xce7d113e, 0xfaa0b811, 0x98996a4f, 0x29528c92, 0x327f4f57, 0xb961ca79, 0xd4950b52,
+    0x62879bfd, 0x778abd8b, 0xada349e5, 0x8e267c0a, 0xe4bf1a05, 0xa8e983be, 0x66364626, 0x3124f7b8,
+    0xe5810907, 0xbf632401, 0xb7b0f919, 0x00ab03cb, 0x5caf401d, 0x4d40cf12, 0xc014d5ee, 0x5a9cba95,
+    0x198b45f4, 0x55337975, 0xf0e001ab, 0x0119e67a, 0xcf82d04e, 0x9e6ae99d, 0x98786b21, 0xa4c62069,
+    0x93d9556e, 0xb5ce33d9, 0xf6b38754, 0xf01fbf23, 0x008d886a, 0x40bc5b30, 0xe809a440, 0x9a93a571,
+    0x04e74fe0, 0x1bd95d6d, 0xda6fcc23, 0x0abf7584, 0xb27d1cca, 0x23ebd3a0, 0x22c0b10c, 0x2e8a950d,
+    0x5a64e75a, 0x491e2f4d, 0x2bd54ee3, 0x19fd381c, 0x6998a763, 0x13723588, 0x7029e9c5, 0xf2026a01,
+    0x7a127dab, 0x4d1e711a, 0x257e04e1, 0x6bdb6285, 0x987b3071, 0x582189e8, 0x9f5e8ebe, 0xaaee851f,
+    0x57316bc2, 0xb42fa6b6, 0xc84a444b, 0x16e4d729, 0x4c786f45, 0x50076059, 0xf33cfc4b, 0xfb134db5,
+    0xeb8d358b, 0x303cb28f, 0x913f06b9, 0x962732bf, 0x2a0e76ab, 0x0d059fef, 0x581907b6, 0x8fd6f653,
+    0x00000000,
+    0xa01c84c4, 0x4b32693a, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000383123885216472214589586756787577295904684780545900544 */
+  { 0x00000000,
+    0x8893d4e8, 0x628d65f3, 0xa555950a, 0x0f6406eb, 0x5ed35930, 0x0c9cc8a9, 0x3b2e037b, 0x2e9887d4,
+    0x0ae8fc2b, 0x452be18e, 0x3a6406f8, 0x776b8dd7, 0xdfa04f7a, 0x7718f6e1, 0xd8672f14, 0xa3663229,
+    0x729645de, 0x66689052, 0x01fa2a34, 0xafbda3fa, 0xab58673a, 0xe1aa5d98, 0x81cfed37, 0x8f1cd09a,
+    0xe665596f, 0x6302d5ac, 0x9c02ba48, 0xc9dd389d, 0x5b56ab76, 0x54e10bf6, 0xd8a6244e, 0x57df97bb,
+    0x49ca6e82, 0xeddf1e79, 0xa82a8dcd, 0x1cbcd836, 0x4a8ea152, 0x364ccf38, 0x8322413d, 0xbc33b23a,
+    0xc7314a0f, 0x9c6c6c8b, 0xe04c5d9b, 0x50c59283, 0xe6bff231, 0x19a7eb0a, 0x56c3b493, 0x93a94437,
+    0x3461ef8b, 0xcdbfa792, 0xe2229d05, 0xe92d93dd, 0x80a57ff9, 0xe2080e06, 0xfcaaf1f3, 0x0b4c0add,
+    0xc9d278d2, 0xf1360ef6, 0xb656ccee, 0xd11e4b5a, 0x3f1136de, 0x5cbe3230, 0x8af4411a, 0x1a67695e,
+    0x6ca507e2, 0x59de6f3a, 0xe8648bd7, 0xb7b38c99, 0xfcbd9787, 0xd1cdf97d, 0xd675c95e, 0x5fcf78c1,
+    0xd9fdf748, 0x2fa1bbdd, 0xac17c4af, 0x83b4c7a4, 0xd7c1c410, 0x700e4bc5, 0xc4a1be84, 0x2d8e5dc7,
+    0x5f34d3c6, 0x2a89066d, 0x4d4dc61e, 0xec09f2b1, 0xa6380009, 0x6d182553, 0x7d84a10a, 0x95db84f2,
+    0x2100b384, 0x894a0d45, 0x86acf121, 0xaf47affc, 0x19472903, 0xd960bbcb, 0xb7dd393d, 0x41096f11,
+    0x3cb45fa9, 0x4eb1f355, 0x869e19d3, 0xc02ab10d, 0xee45fdda, 0x3d1ab492, 0xd4988e8e, 0xa07c48f8,
+    0x319b6160, 0x92b17bf9, 0xe8a75cb6, 0x3ec9c934, 0xb45009f6, 0xd5ed34dd, 0x2ded3097, 0x0317b2d7,
+    0x9ebbddbf, 0x3becc829, 0xdbd23ffa, 0x767c05e6, 0x9f63d879, 0xbe536fed, 0xa5c8e2b0, 0xd67401e5,
+    0xa0e36017, 0x5048822f, 0x64cee42f, 0x1890a555, 0x6f31b9e6, 0x141c3d7a, 0x3d2be549, 0x2f965131,
+    0xf9e6aff2, 0xe07d5000, 0x67dcb1c6, 0x49603fb6, 0xa9e4537f, 0xe3f3507c, 0x4c4bcc81, 0xed888210,
+    0xc5c003d3, 0x19e6eb73, 0x794e4fa9, 0x41bc0556, 0x90458485, 0x196b4165, 0x41db19d4, 0xdf2a9b45,
+    0x0973d87e, 0xf38bbbf5, 0x496eccef, 0xf7f84da0, 0xcf486a18, 0x291df105, 0x6337882d, 0xc1430f4d,
+    0x283e9799, 0x22c006c1, 0xca5810df, 0x63108e6a, 0xef17cd40, 0xfc7d1cc1, 0x0738c45e, 0xb7d562b0,
+    0x5e4556bc, 0x4b92d47c, 0x7855e8a8, 0x987a279a, 0xf8c0b82f, 0xd8ba2926, 0xc0cf5b20, 0xae6fbea9,
+    0xb5658b60, 0xe9c90abf, 0x69c8ffb4, 0x43092b78, 0xb249a7f5, 0x7126599d, 0x42d4b8e5, 0xc134aa66,
+    0x8994b63e, 0x78ea5287, 0xd2d1d30f, 0xf7dfdd59, 0x5786e656, 0xd5531486, 0xb809905f, 0xc9ea1ea1,
+    0x8c76b443, 0x1e221e7d, 0x50cb3ee4, 0xda81012d, 0x88002425, 0x84340606, 0xa0ff1124, 0x9b7cfbb2,
+    0xdbf0589f, 0xf161aff0, 0x29e651c1, 0x6cc0998f, 0x92e1aaf9, 0x96245dbf, 0xc832efd7, 0x04c0bfa0,
+    0xba449e0a, 0x1d27f10a, 0x9f8c8e91, 0x946d72d5, 0x28fe3679, 0x55a3c487, 0x6a892c39, 0xd9571e31,
+    0x265aed31, 0x6b2517a0, 0x47b43b03, 0x98b8eda4, 0x4171cd71, 0xb3afb67f, 0x39b72de2, 0xdee379c9,
+    0xa201c433, 0x6ced98a8, 0x081d5c2e, 0xd26fa051, 0xc6e1a2f9, 0xba83d0fd, 0xd331d588, 0xaeefcef6,
+    0x0a6b0f34, 0xe91dc6f0, 0x43e362d9, 0x66ba3241, 0x55f45858, 0x9a7bb40a, 0x5ba7236a, 0x65fe3984,
+    0xe12f32a9, 0x9e77bbd1, 0x818c01d5, 0x73335ddb, 0xbebff385, 0xb0790758, 0x6533c6e8, 0x75cf64ab,
+    0x7fecd79f, 0x3234c0f7, 0x3feb3e5a, 0x4a982cbb, 0x58c6eb4a, 0xc49320f0, 0x41f1df8c, 0x857c19d4,
+    0xc2de76e5, 0xa608b887, 0x3701fd35, 0x1cef4e1b, 0x83e357bd, 0x84e7d36d, 0x25d84aca, 0x4c611788,
+    0x2e78679b, 0x49b3a18f, 0x66efa2d6, 0x6360fc33, 0xd0a4d461, 0xe5d5d342, 0xabecae32, 0x69828089,
+    0xb44909a9, 0x73b75dc0, 0x97180fc0, 0xcaff20a8, 0xbeb1f918, 0xea6395bd, 0x39baa4cb, 0x96d918c6,
+    0xafaf0a42, 0x6ac991e9, 0x160ce668, 0x5ebc4c2a, 0x682664ca, 0xc2dbfd64, 0x02c518a8, 0x0bcbe5e2,
+    0x3406fb55, 0x0a777aac, 0xd09bacdd, 0x84612870, 0x505b73e9, 0xdc900a47, 0xee09e2f2, 0x82c0e688,
+    0x5a6ff71c, 0x896eddc2, 0x3c83e01a, 0xec6a3697, 0x1d703974, 0x41a59bfd, 0x0d67f79c, 0xfb65e68e,
+    0x305cc084, 0x28eccab4, 0x2f1d411c, 0x9ac0b71b, 0x2de5774e, 0x8fc56b65, 0x16fd04c3, 0xf78202eb,
+    0x3342b43b, 0xdb627356, 0x3342281d, 0x46cac038, 0x6da4baad, 0xbb39ca02, 0xeab78c3c, 0x7c1e883a,
+    0xedf7ea43, 0xde047d53, 0x777eb87e, 0x0de4b78d, 0xd0e16c8e, 0x5d8b10b3, 0xe7da191f, 0x9f1b7375,
+    0x5639a19e, 0x4a417845, 0x6adacd5e, 0x4153bc0e, 0x5ed64670, 0x12bde6af, 0x961e20a8, 0xd3393904,
+    0x1eea9836, 0x00363e1e, 0x5e746abe, 0xba3fec22, 0xea078cc7, 0x0c208adc, 0x96e2c176, 0xa33f1716,
+    0x01a0b2c3, 0x3851af81, 0xdee076f7, 0xf2e378e1, 0x80ba61a1, 0xd401c310, 0xf344f5b1, 0x34d78c25,
+    0x4a536543, 0x6e938cc8, 0x0ff019a4, 0x655ab292, 0x06c5f2ba, 0xd644d98b, 0xadc44f0d, 0x47bffe9e,
+    0x266ec9b5, 0xeffd3981, 0xf3eb6889, 0x27f06718, 0x6f85f8e2, 0x16b3c9f3, 0x870b06c4, 0x0b7d446f,
+    0x04e54c40, 0x1240bd86, 0xab019b62, 0x292dc6c2, 0x4c5f5bd5, 0x3fe32769, 0xdd8e981f, 0xef4a3379,
+    0x0de8db2d, 0x70354d05, 0x7732800d, 0x45c0730e, 0xa7d17976, 0xda3229b4, 0x598c81b3, 0xdb567187,
+    0x5b16d08c, 0xe9fb6325, 0x38b63d62, 0xe4ff337c, 0x77913626, 0x83eb48be, 0xe0770bd4, 0x3f6f6045,
+    0xc27e984f, 0x714d01ba, 0xd7fb2beb, 0xd364881c, 0xb5e11d2d, 0x780b1b20, 0x02dff8e2, 0x7a50fbf9,
+    0x0df420b4, 0x8face34c, 0xf3b16f56, 0x94fcba4c, 0xd25843f4, 0x4214d228, 0x50754bf6, 0x1c95c08c,
+    0xb84e5d63, 0x55205175, 0xd72668f0, 0xdd9938e1, 0x9a0f3c46, 0xd5e196be, 0x8f18c403, 0x98ac45b8,
+    0x9781938f, 0x726e0a26, 0x3a237c48, 0xb90650bc, 0x0dd07703, 0xe2f0ae81, 0x4662f68e, 0x62cbeb38,
+    0x50ebc080, 0x7afb3fd4, 0x9bf537b8, 0x629d9541, 0xc8f7dc26, 0xa48debff, 0xbd116cad, 0x4165e841,
+    0xb85d9eab, 0x71a32e8b, 0x465fc42e, 0x4f983b62, 0x26c6a321, 0xe6a8c4cb, 0x9598f9b9, 0x17ad063c,
+    0x6797f52a, 0x557d67e7, 0x81612ffd, 0x00bd327d, 0xfc4746d9, 0x8d13c3ce, 0x7c88a9e1, 0x1811ea8b,
+    0x6eaf8b3d, 0x4d149fee, 0x5ed14dbd, 0x300a369c, 0xcb5db170, 0x28bbae28, 0xa032bef0, 0x26551631,
+    0xab9381ac, 0xce201fc5, 0x8389156f, 0x01c25439, 0x42f79df9, 0x9bd5eb99, 0x2f511278, 0x11b197f6,
+    0xe9613a7c, 0x79466170, 0x0207974f, 0xa4e0466a, 0xb522f82c, 0xda3750f6, 0xb14a4316, 0xbcf5f539,
+    0x2139f3cf, 0x0dcbcfb8, 0x624b512f, 0xcbe643a4, 0xad74a675, 0xf9404a49, 0x7a79b5fd, 0x6b066795,
+    0xd2a16f05, 0x5379d03f, 0x02e4e85d, 0x27b0879b, 0x5b32a7fb, 0x406af36a, 0x0174b3c7, 0xad51bec7,
+    0xecee1ed2, 0x7f1f297e, 0x87ecd5f5, 0x9c550a5e, 0x8ba7dd94, 0x8a490944, 0x9554c0c0, 0xafb00560,
+    0x8310e664, 0x396b65a6, 0x268b47f4, 0xb9f46960, 0x042e1aa9, 0x8fa25460, 0x8a58de7e, 0x8189edb2,
+    0xc3e4d8c9, 0x9995f675, 0x9dcedee6, 0xd76fe50f, 0x6485d5ec, 0xc3c3a1bc, 0x7331e3a5, 0x1429807b,
+    0xbd985351, 0x209be26e, 0x688acfc4, 0x97f0d457, 0x382e3bce, 0xe3f9fb4e, 0x2592c99b, 0xf7d9d423,
+    0xb27b83c3, 0x46f6cb89, 0xf980a81c, 0x4e11926d, 0xaf2d7d90, 0x140b58dd, 0x354ab170, 0x4a0f01ea,
+    0xbec9e412, 0x5af5a3b0, 0x9593d094, 0xf5b0bf6a, 0x325ee73d, 0xfe935c03, 0x4a431923, 0xaa5c29a2,
+    0x1a29f55a, 0xf8b2b2b5, 0x56b002d3, 0x5803ca61, 0x89eea731, 0xe9d2b1fe, 0xd632de90, 0x273cfe06,
+    0xb5000429, 0xe9e65dc1, 0xd599540b, 0xca2000fe, 0x2285ff4c, 0xbb960aae, 0x30485774, 0x80c742b0,
+    0x0e9f6029, 0x509e4dcc, 0x1a8676f9, 0x11649360, 0x1967d2bf, 0xfdf87eab, 0xb59c87fc, 0x3f8086da,
+    0x86a95876, 0xb8fc3f19, 0x342faf59, 0x86f9bc1e, 0x8adc575c, 0x16edab2a, 0x917d4e36, 0xdd82e27c,
+    0xc8c0e0bc, 0x7cbeed4a, 0x5df55bb9, 0x25b6d36c, 0x0069c898, 0xb87a2939, 0x5a99e12d, 0x52a02000,
+    0x5bcc1b26, 0xed27ea33, 0x3ba7ae03, 0xfa2b5107, 0xc7a04db1, 0x2885d0bf, 0xd13027e3, 0xd8ab5e95,
+    0xb225b5e8, 0xd0ff4251, 0x024dc8db, 0xd085b6ff, 0xfc412a89, 0x755b5e76, 0x2a830e42, 0x86e2285b,
+    0x15b52359, 0x672ea1ec, 0x7200134d, 0x45104e9a, 0xbedc11a1, 0xf38f865a, 0x9a381af1, 0x9c893d15,
+    0x766002d3, 0x00ad971e, 0xc19ffcb8, 0xa5025db9, 0x1619292a, 0xa646edf1, 0x8dfc88ef, 0xaeddc0c7,
+    0x67cdaf84, 0x58a172b4, 0xe18485fc, 0x64b56eee, 0x3b28cbe2, 0xb07014ed, 0x8f969db9, 0xc9b37e90,
+    0x8056da0d, 0x960ad907, 0x6add8051, 0x165d364a, 0x10c74b68, 0x4c617f2d, 0x1af8034e, 0xb7810f3e,
+    0xa6c2a68f, 0x522ef20f, 0x13521da9, 0xe099b10a, 0xfd02c605, 0x7fa01b72, 0x27046531, 0x92d9dfdf,
+    0x9058946a, 0xd40bbfe4, 0x831e16fa, 0xdd1aa454, 0x3b7a7a3d, 0x1d9f3d77, 0xdf069310, 0x87b3a45c,
+    0x2365d58e, 0xafe4df99, 0x624aed1c, 0x1cb8213a, 0x2ab40de1, 0x390f3125, 0x5239288d, 0x8ae74913,
+    0x99c7f7f5, 0x15654e18, 0xb01d8b52, 0x2ef6803d, 0x727fee24, 0x4ad81723, 0xfc185ae0, 0xabdaaabb,
+    0xb702d74e, 0x0a56733e, 0xa22a5976, 0x76cadad3, 0x4bafa503, 0xe12ad28d, 0xa624e486, 0xa5118f1c,
+    0x17eac631, 0xe8d506dd, 0x0faaea30, 0x7dd19385, 0x6687c3a6, 0xc278b7bd, 0xc674af43, 0x8062299b,
+    0x796e4e29, 0x36772aa4, 0x4420292f, 0x321a2d62, 0xc0a4bc47, 0xa63c898f, 0xd3087b6a, 0x0c499b59,
+    0x227f303a, 0x899b16a5, 0x1115824d, 0x72bd96d5, 0xa7b571eb, 0x44d1f10d, 0xa9888353, 0xa62da60d,
+    0x75b9628d, 0x16c18d95, 0xdd3fd141, 0x88633684, 0xcac0e257, 0x1c1081cc, 0x1087a405, 0x0ff5bb0b,
+    0x02fe8a5c, 0x5c03e2ef, 0x74356953, 0x7d97bd84, 0xe613709e, 0x300668b5, 0x2790e0ef, 0x1524c379,
+    0x30b35dd8, 0xbb21ceda, 0x658f8994, 0xf9e0b237, 0x41721ee6, 0x765a4e60, 0xb7b0e44e, 0xea781000,
+    0x104f0337, 0x39efcd9f, 0x222b47af, 0x52ce5b2e, 0x3f7bd3cc, 0xd0c3d6f3, 0x486c273d, 0x08a419fc,
+    0x68a36b29, 0xee647f47, 0xfef60829, 0x944df051, 0x984fcf6c, 0x0303dbf3, 0xac20e4c5, 0x61c0b39c,
+    0xa69b2541, 0xfc9ae4f6, 0xf3ef4140, 0x1bcd2dad, 0x390c9d37, 0x0249d785, 0xaa0c0e1c, 0x37104da7,
+    0x5e333223, 0x9091fac9, 0x3aaf03dc, 0x635e5eb3, 0x176fb948, 0xe168da95, 0x2147107f, 0x1e522db3,
+    0x54ebe26a, 0x7626e342, 0x98bb0cda, 0xb8024eb9, 0xc51f641a, 0x13f84293, 0xf641ebcd, 0x308b7641,
+    0xd396b370, 0x68465b9c, 0xf34a71bf, 0x03dd6eb3, 0x2873d0de, 0x88777bf7, 0x232d90f8, 0xe2b742cf,
+    0xd7d609b3, 0x4adfd15a, 0xfd329cb5, 0x9da16e0d, 0xefd730c4, 0x82b64759, 0xee55bd78, 0xceed0082,
+    0x7540b18d, 0x737030fe, 0x76bc99cf, 0x6b85535c, 0x2d3b8f11, 0x23c7a552, 0xc8ab8f7c, 0x20de750d,
+    0xc93851de, 0x86a02db4, 0xb96cc3f9, 0x638cfa04, 0x1d14f23e, 0x35960f11, 0x49569a42, 0xf2dabaa2,
+    0xd11b6f80, 0x6b907e37, 0x966822cb, 0xf5697348, 0xc37153f1, 0x488b5d8a, 0xe406373b, 0xc6233250,
+    0x01f5b122, 0x50561ba6, 0xc267cfae, 0x4c73852f, 0x34aeb778, 0xaff9ce52, 0xed9a2cb1, 0x11e2b76f,
+    0x74ffbe9e, 0xf7faac6a, 0x90211abe, 0xcb705074, 0x7c296b9b, 0xd6d2dbe6, 0xa047d91d, 0x26f4ba9c,
+    0x7dab388b, 0x041d8e02, 0x9c7b702e, 0xb796fdea, 0x4a59a45a, 0x83485e9f, 0xd783925d, 0x0548fe3b,
+    0x0ef226f1, 0x72464f68, 0x0756c23a, 0x36085410, 0xb0372901, 0x26c3dbd6, 0xfff633cb, 0x63cf049e,
+    0xf688a737, 0x58cb8074, 0x18cae96c, 0x23042a22, 0x29ddfcc2, 0x32c7d6b9, 0x021a3df7, 0x19e9494c,
+    0x262dc7c3, 0x8db8435e, 0x2818a8ab, 0x9ef452bb, 0x9fdbbcd4, 0x8e8397e6, 0xe5ff57b7, 0x28a364d1,
+    0xb9aba2f9, 0x5b2da941, 0xe1d00805, 0x6ebab6ce, 0x89f3068f, 0x995e7051, 0x3e90cc49, 0x64053141,
+    0x87271b36, 0xe9af815c, 0x51b0122c, 0xd4e47ad5, 0xaa5748e0, 0x4a2b4407, 0xa8da5ff2, 0xd045167b,
+    0x3557a366, 0x00f35824, 0xe39ce2dc, 0x0775dfa4, 0x23538bf8, 0x5c12e97c, 0x426961aa, 0x44017f2f,
+    0x65729ce9, 0xa40c7d6a, 0x8e833f5e, 0x63d7f9f7, 0x394ddb2f, 0xf2afaee9, 0x4fd7714e, 0x3d9c335d,
+    0xe0dd2724, 0xd09c44d8, 0xeafc944f, 0xcced4d86, 0x582b6f27, 0x4c5fbfeb, 0xcec3fcc3, 0xfb3bdcc8,
+    0x7c02e5d4, 0x9d568e0d, 0xb4dbc6b4, 0x004740fa, 0xe8168489, 0xdbde5a50, 0xef9b43c1, 0xe328b2fd,
+    0xdd3c6c53, 0x191f9271, 0x41d1e07f, 0x028209d1, 0x6dd3c1db, 0xd5b10675, 0x871c34ee, 0xe1ea7688,
+    0x1bf40378, 0x0054effe, 0x24bcc4df, 0xd615a3f3, 0x8f5d982f, 0x589860fe, 0xa1c82182, 0xd15c2a07,
+    0xd09ba51f, 0xec1c6dfd, 0xfe6a49be, 0xd5b72386, 0xe002dc25, 0x22ab6636, 0x617fb14d, 0xf876e72f,
+    0xdda411c4, 0x2a4106e2, 0xe6d40ee2, 0x9d4d1de5, 0xc45f3a2b, 0x75d50eee, 0xf7d68f50, 0x72aba002,
+    0xe7853af2, 0x5a73779b, 0xad453ee3, 0x5efea89f, 0x03d6e07f, 0x0a02af1a, 0x14832c6f, 0xa7e8e2f4,
+    0x6b4f0d2f, 0x4b6818bf, 0xdcef9e90, 0x9377674b, 0x8f6ec47f, 0x0768fead, 0x1e6d60af, 0xa04ecf6c,
+    0xa2a425a5, 0x34ad0274, 0x255578c1, 0x12cc2390, 0x748b7947, 0xe6317d8b, 0x76e5fc2e, 0x54c9a56f,
+    0xe1f0526c, 0x831d361c, 0x4d537036, 0xab1e6faa, 0x231a1384, 0x7f7cc87e, 0xc9ffcb6f, 0x8614191a,
+    0x46c60e04, 0xab69ff5c, 0x7199a2a1, 0xe0ae89e9, 0xcfd1cba6, 0xa77ce8c5, 0xa46af0de, 0xaea818ca,
+    0xfd73ec1e, 0x2077ea15, 0xb975af76, 0x8e5776b4, 0xca46ffef, 0xf0531272, 0x39021619, 0x640e1a9f,
+    0x4811c17f, 0xc81eaa7b, 0x601e34f8, 0xa6c868b4, 0xfaa196c4, 0xfa809114, 0xcbcfafb8, 0xbed0bfc0,
+    0x8759a4a4, 0x1849f9f3, 0xe9b37d4d, 0x9ab96188, 0x994f31a8, 0x57152f4f, 0x2828b7df, 0xcf99f774,
+    0x9a2c82c3, 0xb50577c1, 0x30bf9a02, 0x96a60dbb, 0xe19b5fea, 0x6c44dfb3, 0x4551044d, 0x269b3d93,
+    0x620b15f0, 0xaed36576, 0x5b891e77, 0xa772b21b, 0x11219ac8, 0x4007e1cb, 0x57e229b2, 0xa6b88e81,
+    0xe0f6cce0, 0xd857f532, 0xba07c378, 0x67326f2f, 0x699bb4bd, 0x4a1f0790, 0xcd4ba5b3, 0xadf5fe01,
+    0xbc585e8d, 0x9cdeaa37, 0xbfec3e10, 0x68ebbaf6, 0x265d5900, 0x4c08bbfd, 0x4ac9ecac, 0xbfe4a244,
+    0x00000000,
+    0x500e4261, 0x2599349d, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000191561942608236107294793378393788647952342390272950272 */
+  { 0x00000000,
+    0x389bfc44, 0x32d135d3, 0xcd1611a3, 0xb49c327e, 0x00c6bb63, 0x78e0b0b9, 0x4d082e5e, 0x1baa2400,
+    0xe71f0c8c, 0xa367557f, 0x430e6e4e, 0xda9fc5b1, 0xb57f74bb, 0xee949e33, 0x4d6dd07d, 0x4a4a6262,
+    0xf9282ea4, 0x271316c7, 0x02b304d1, 0x99fd025a, 0xc8fa03d0, 0xc2eb31af, 0xdf79df0d, 0xb8c91b4a,
+    0xf061fc0d, 0x21c05fad, 0x33ef57f8, 0x135044d0, 0xaa2cf588, 0x2bed3bf2, 0xb64f6c6f, 0xd158a2a3,
+    0xd84173f6, 0x71e07f8b, 0x940d76e0, 0x9d477be4, 0x1fbc7486, 0x61d6146f, 0x93229c8e, 0x92cb8c5f,
+    0xa68b6b96, 0x4000db34, 0x11ff32ec, 0x480954e6, 0x0fb7ad01, 0xc95bc838, 0xe9deb89a, 0x852e0665,
+    0xb911c046, 0xa6656851, 0x41f4d8ef, 0x253fb4cd, 0x219dcaa6, 0xe3b58a0a, 0x9f26bf1f, 0xe7131a06,
+    0x6b6b75b2, 0x95c94ee9, 0xb6b4bf52, 0x0ee0bc55, 0x0e8647c2, 0x368e9a5e, 0xf75f694a, 0x9169f6dc,
+    0xfc9f84bf, 0xa2bb95bd, 0x73db34e0, 0x111cd91b, 0x0c2e10d6, 0x7206be7f, 0xc1f3eafd, 0xed37166f,
+    0x3f296c3c, 0x8ac313a5, 0x44af70f8, 0x4e40f19b, 0x4c92763c, 0xaf95049b, 0xf1f82974, 0xcabbc9ba,
+    0xa775a388, 0x81904adf, 0x4745c79f, 0x6fe93be3, 0xde6957ea, 0x6b714a01, 0x69dc9688, 0x9ab8bf82,
+    0x97e01e45, 0x6334bbd3, 0x379bf799, 0xe17a9dd9, 0x36e4587f, 0x7e6ff13c, 0x5b705e30, 0xd7004e5c,
+    0xf9cf7496, 0x9317e93d, 0xd0eefce6, 0x6bac48aa, 0xc84f03ac, 0xd6733a80, 0x17dd42f1, 0x3bbe3a05,
+    0x2ab87a26, 0xf40d865d, 0xc6a01f88, 0x29d4163a, 0xda77b12e, 0x9ac6da9b, 0xff19e5af, 0x12db000a,
+    0x932f1dea, 0x005fdb36, 0x330a29c4, 0x48a96c88, 0xfef4da7d, 0xc96c2da6, 0xb4c99ca6, 0x5a1a7639,
+    0x4aac80c0, 0xdd93db62, 0xdb10f29b, 0x748b8ca1, 0x343d99c3, 0x373c2cb8, 0x5ba41c37, 0x47a1d2d3,
+    0xad30b4d3, 0x05aa99ea, 0xb40a8f18, 0x38e651ff, 0x210eedb1, 0xb5e12938, 0x8d0a6a7c, 0xf5d66f23,
+    0x1d8f85ee, 0x87788dd1, 0xcd7b5615, 0x33f9fd0d, 0x4fd3fe56, 0x62d4738e, 0x5febe0a2, 0x1b063fa7,
+    0xacf50646, 0xee583545, 0xab96ed1b, 0xe3314fc1, 0x2188c265, 0x58724783, 0x21b2083c, 0x3b1657f8,
+    0x81d789c6, 0x60bdb930, 0xfd08004e, 0x7e933ded, 0xa5764edd, 0xced9aae8, 0x13bab487, 0x367180e9,
+    0x8cd9c1ae, 0x27f9c051, 0xa6e2c622, 0x357aba52, 0xe590b835, 0xb3e58d11, 0x6ead1f83, 0x6f81dc7f,
+    0x85935a1e, 0x2337dcfc, 0x6d275f7e, 0xdcbd43e6, 0x64d366f0, 0xfb849904, 0xacfc4d19, 0x4b24f7a0,
+    0xd498a2af, 0xa592840f, 0x03d4c4f0, 0x5bbbeba2, 0x453c560b, 0x4b5ed588, 0x0ffd24f1, 0xb5277a21,
+    0x2dce48d9, 0xd268b04b, 0x25bb1568, 0xf5d79139, 0x01681222, 0x6ea68434, 0x788ae628, 0x0bee1ea5,
+    0x1a0f2fe4, 0x16d88c90, 0xcaad4cf8, 0x3fe7cbc4, 0x7067fdcf, 0xcbecd469, 0x5ef7eb66, 0x75eaa53a,
+    0x1c58ce3e, 0x1b17660b, 0xcedb8072, 0x231266bb, 0x6832b7f1, 0x743fe869, 0x1b471ef9, 0x1ee10e77,
+    0xda081544, 0xa2d7c96a, 0xc4b51956, 0xb931be58, 0x1fa12dae, 0x360ac4e6, 0x4d75b56a, 0x6e5663ab,
+    0x7ddca7c6, 0xcdc115af, 0x1ffaafba, 0x87c57977, 0x219dbde3, 0x279c35d4, 0xb7917902, 0x3b57eb9a,
+    0xc9dc6259, 0xc4ba29f1, 0xd8bd849f, 0x62581066, 0xfa09efd8, 0xc0780dca, 0x056926cd, 0xcdf91d09,
+    0x37073712, 0x3f1e037e, 0x3fe089d3, 0x840595b1, 0x36760da0, 0x0c38b768, 0x9f9fcf53, 0x9b4a8f99,
+    0xe42ec6e7, 0x1d8f0b48, 0x4554a1d4, 0xfdcbe24c, 0x7eacdb7b, 0xff7fedf9, 0x45f8684d, 0x1ab998c4,
+    0xabed7234, 0x27c4d586, 0xbf16f5fd, 0xe15bd791, 0xb60644cf, 0xfc9db349, 0x1284c222, 0xaa4c957e,
+    0x5c2b0a60, 0xbd810b09, 0x37d1abbf, 0xe6fad986, 0xc0aee94f, 0xefb2d430, 0xe0b95c0b, 0xbdbc170f,
+    0xba2185e0, 0xdbe76f99, 0x2ad92959, 0x8322eec1, 0xfb153c6a, 0x35a99ba1, 0x1bde7850, 0x17cd631e,
+    0x85607c8c, 0x4c1f577f, 0x3b9d54f6, 0xecde916e, 0xbaefead6, 0x61691f9f, 0x70d2fae4, 0xc2d30fc3,
+    0x97b780b3, 0x139f7f28, 0x804a7923, 0x6cbbbea0, 0xdde06a01, 0x4a6be2b4, 0x7e19e575, 0x36363417,
+    0xf7c4a1c8, 0x3397044b, 0xc1cb5801, 0xabe9d004, 0x2d666b72, 0x8cf9858b, 0x4cb7be5d, 0xf8bdcf55,
+    0x1c68d7e1, 0x4ee9f8e3, 0x38cb39a4, 0x6352ce91, 0x400d0b99, 0xf80501f4, 0xd15f44d1, 0x7eef5b0c,
+    0x77518d1f, 0x04bec67e, 0x9d36a368, 0xef8d1ae5, 0x15a43ec3, 0xb427d7b9, 0x2e6a7e85, 0xc37ba8c8,
+    0x89004933, 0x5ea36e3b, 0x15bbb56b, 0x9467dbb3, 0x6dcc775d, 0x20382638, 0x6abd67f3, 0xc3215272,
+    0x58d55bc6, 0x1cf160f3, 0x3725bcf3, 0x425dae48, 0x35ea2d0b, 0x6c89fcf1, 0xaf201330, 0x6b724567,
+    0x810a9314, 0xb311aa86, 0xa2900e73, 0x39f09688, 0xa5c25fa9, 0xf1a1fc8b, 0x5e0eedf8, 0x96645818,
+    0x555943ba, 0x621f33c3, 0xc216a90f, 0x6a63d888, 0x80c5db29, 0x89b9a5e5, 0x8368a340, 0x9fd812a7,
+    0xa2eaa813, 0x1f5f6478, 0x58224e70, 0x3bb5b8df, 0xd82bcb21, 0x34ee32b8, 0x28ad31ff, 0xb9156388,
+    0x42d0dbe4, 0x2bccf31d, 0x3e620d66, 0x0001537b, 0xfdfc9169, 0xcb4d30b5, 0x5423cb35, 0x5891f450,
+    0xa232b480, 0x51dd8e27, 0x29bad3de, 0x354214bb, 0x2d4c4d31, 0xf851f7cf, 0x9d59bb56, 0x99effd23,
+    0x23d78394, 0x0cb77b32, 0x3278fe98, 0x8b2c318d, 0x723a554c, 0x613ff6f3, 0xdea790c7, 0xd2c3b438,
+    0x3880c930, 0x5ee7cb20, 0x46ee2419, 0x902af349, 0x75bc813f, 0xc11aa0b9, 0xfb89d940, 0xf3600e15,
+    0x3b08cfd8, 0x5ac5c047, 0x2779af55, 0x557f3cd4, 0x27cd5ad2, 0x736db90b, 0xfbdc666a, 0xe423a4cd,
+    0x6447abaf, 0xb9e80c80, 0x89849a7b, 0xfac0183f, 0x99caacea, 0x0abd52de, 0x3c3f0cac, 0xdd54bda3,
+    0x9756e4f9, 0x0ae4a140, 0x3f881e97, 0xccffc47c, 0xf5c4d686, 0x13534223, 0x2877efe6, 0x39306a31,
+    0x200b964b, 0x7ffaac79, 0x0e05d2b5, 0xbaa025c6, 0xad61f0a1, 0x44b9c74b, 0xd8c88847, 0x2a3989b8,
+    0xc07f6691, 0x4863066c, 0xc7a339f1, 0x610c669c, 0x451b61d1, 0x665c36e0, 0xd9b8cb0e, 0xc9e162d4,
+    0xefa9a2f9, 0x30ae65db, 0x76c75ac7, 0x808066ef, 0x87a3a75f, 0xea6c2c64, 0x8b330569, 0xeff55c9b,
+    0xdd0f1850, 0xf04c6fdf, 0x3a25b2dc, 0xc17a92f3, 0xa4a62752, 0xd9da688e, 0x3a1cb561, 0x1a05c280,
+    0x4525c968, 0x27b05f6c, 0x61422bbc, 0x3418d901, 0x9e1c6454, 0xd323b7cc, 0xbd889bc9, 0xffef139b,
+    0x9cf8860b, 0x5f7dc1fe, 0x97b6b10b, 0x044b2d5b, 0x88203bd6, 0x3579c5a6, 0x7cf813aa, 0x25a8b8d8,
+    0x19e25fe7, 0x4ec60f94, 0x70880c32, 0xe202ddb3, 0x0d6e7d88, 0xe1265d0e, 0xee9475c0, 0xd68fc861,
+    0x975a33f2, 0xf4f3faae, 0x393af8a1, 0x9c3896af, 0x61a8ff54, 0xb5ebe6e1, 0x3bd007ef, 0x39324781,
+    0x6eca9c0c, 0x4b36c739, 0x2a70caf2, 0x51c2fcba, 0xb6dc3147, 0x6285138a, 0x8dfafb9f, 0x90d0a33f,
+    0xd6651245, 0x84cb661b, 0xb049e092, 0x407bb70c, 0x48b27c01, 0xa4cbad98, 0x7a5916d5, 0x0ffbb8bf,
+    0x6ecc6b73, 0xe0832963, 0x5fc56598, 0x3db1cbf4, 0x2eb26675, 0x367d2ed5, 0xb9827238, 0xfe740548,
+    0xb9e39de3, 0x5b72a163, 0x987a8eb0, 0x45b478a2, 0x9e24e54a, 0xbe55bd88, 0x9707f575, 0x6cbe07e2,
+    0x62a23d6b, 0xb35818ef, 0x80cbbbd4, 0x02ab8235, 0xd4cea948, 0x77e0d4b4, 0x3a417261, 0xdd75384e,
+    0x681113e3, 0xa2926237, 0xd0e157eb, 0x7bd4975d, 0x973d8dec, 0x37f1aaaf, 0xfff0c77c, 0xc0e4aca3,
+    0xa3926592, 0x419d3367, 0xb0bbb712, 0x6c2ace70, 0x3f9fd56d, 0x162e7e5c, 0x4e3cef84, 0x22ac5c37,
+    0x07093ad0, 0xcb196fbb, 0x3a0e3e86, 0x15730627, 0x29ab9858, 0x07f140bf, 0x2296988e, 0x56416353,
+    0x6fb8dd28, 0xaa1deb04, 0x769dec66, 0x7674fbb2, 0xdfdbb2c7, 0x13d44897, 0xce7e7e04, 0xe84ac9c8,
+    0x2aaa778c, 0x71273ea8, 0xb0a861a3, 0x4fb2edac, 0xfd1f5f84, 0x17fe2810, 0x685b59aa, 0x00c11105,
+    0x848aba07, 0x9ccc2457, 0xf9f62101, 0xdf0ac0a5, 0xdec615fc, 0xee6c4974, 0x775bffeb, 0xf98282ef,
+    0xe4a0db29, 0x97dbc1e6, 0x2798cd32, 0xdefe6fef, 0xb82f7ebe, 0xdba72ccb, 0xe982230e, 0xfc37b775,
+    0x8b9b189d, 0xfdd0fff3, 0x93901ffc, 0x0506b37c, 0xf8ef09be, 0x43f80c3e, 0x4ba361b5, 0xf0b7226e,
+    0xdc9acd5e, 0x6643f222, 0xbfb6241a, 0x825ee12f, 0xb467ad56, 0xea60155f, 0x3cf015b5, 0xb6c17368,
+    0xd871c79f, 0x20bc3113, 0xa380a123, 0xb18cb35b, 0x70344703, 0x2c3e736a, 0x6ee5eb2e, 0x048ea925,
+    0x0cca2587, 0xd7ffa404, 0xb58bb5b5, 0x680e1218, 0x49438bb0, 0x037b9fe7, 0x735acbfd, 0x1fc29684,
+    0xffa8c92e, 0xff84b8c1, 0xc1112905, 0x4edc3120, 0x7c734311, 0x335a81e7, 0xc2a08746, 0x11edc0b3,
+    0xdcbdb728, 0x864182e5, 0xf753357c, 0x529990ff, 0x542da873, 0x245598fb, 0x41d94f4e, 0xc9674ad3,
+    0xd215203a, 0xd24563da, 0xfbdedb14, 0x29c079a3, 0x27b7455c, 0x040d80ed, 0xba9d9dfe, 0xee3af807,
+    0x15e21aee, 0x96098d5c, 0x3cb8e297, 0x83bd8524, 0x73e52f6c, 0xdae8f53f, 0xc714303c, 0xbe17db23,
+    0x733b8d74, 0xba2ede2c, 0xd27e846e, 0xd67e40e6, 0x2ac8605a, 0x86a6ab27, 0xe4da0d58, 0x93e0ef21,
+    0xb29c06ca, 0x837037c7, 0xc1438fc8, 0xcede7305, 0x1f77821a, 0xac10edb1, 0x9dbe2406, 0x9fd4e41a,
+    0x37b62f33, 0x96df1c90, 0xcd925cca, 0xbc6e332b, 0x8b71d5f6, 0x0a543a16, 0x15a62c73, 0x9f274cf1,
+    0x989caa6a, 0x105dd30d, 0xa46e765b, 0x9fa1478e, 0xa81d9aaa, 0xaac8051f, 0x359b9854, 0x14c4ea2e,
+    0xc1a2192a, 0x7ea080fd, 0xdf3107c8, 0x193307bf, 0x1f420cac, 0x177354a0, 0xacff5d37, 0x5e010cbd,
+    0xa53bce14, 0x74ccfec6, 0xa95fdb0a, 0xac3a496e, 0x67a6d7c6, 0xa4148910, 0xddbbccc0, 0x90758b1d,
+    0xfbe68311, 0x1dd1ee3a, 0x9affdeb1, 0x7a554d7c, 0x71cbcb9e, 0xb341593c, 0x98610b33, 0xb8b5f3c3,
+    0xa6c4285e, 0x43b5d089, 0xa4e446e6, 0xd585a44a, 0x33c36bd3, 0xb2994e1c, 0x4ee69a12, 0x4c215ece,
+    0xbea32b23, 0xe7378d35, 0x57ae250c, 0xdfb5cb59, 0x5356d926, 0x91915e5d, 0x3bfe78cc, 0x8c6a0fdd,
+    0x6426c7be, 0xff4d3e02, 0xdc7145f1, 0x623b39da, 0xa44368d5, 0x31bdd749, 0x465a4ce0, 0x73ac1692,
+    0xb2d97bf3, 0xb29aa900, 0x8b58329f, 0xaf341d4a, 0x317041d9, 0x5cd9669c, 0xaf8f3ef7, 0x4a1f5bc7,
+    0x260437f0, 0x33a7c748, 0xfbec847b, 0xb17f4468, 0x48bc210d, 0x6ff24667, 0x31bb0de4, 0x5f6188a1,
+    0xe0bdca54, 0x04fb151e, 0x27e62bdf, 0x8e263a16, 0xdb756c7a, 0x5430c978, 0x1012b549, 0xd69b8cea,
+    0xbcf00104, 0xae9241b7, 0x298f7d27, 0x1ac78076, 0xd0e5c882, 0xc7c45c41, 0x244c3dcc, 0xd1202871,
+    0x893dd196, 0x4597c120, 0x4bde7427, 0x105eaa13, 0x6b12f070, 0x50004a01, 0x360be8ae, 0x55dec51c,
+    0xb6b296ab, 0xe4ba1d1e, 0x4cf487b7, 0x50ef74f4, 0x761eef80, 0x260f18df, 0x4ba2124b, 0xe7ea00fb,
+    0x8f6fea3e, 0x7e2d8b99, 0x0bf28bea, 0xf4889f05, 0x4fd36e1c, 0x1dc2f3d7, 0x0da8da61, 0xb80b6584,
+    0x71a1a43d, 0xd13608ff, 0x72a22272, 0xab017214, 0xbbd95934, 0x75ea0af4, 0x400b3ec3, 0xa2881b7a,
+    0xfc8e1afb, 0x139792ab, 0x4d679692, 0x8a80bdb2, 0x7a81408a, 0xb86e5f33, 0x89f382b3, 0x16f48b07,
+    0x9136b36b, 0x20c47223, 0x16b4dbd4, 0x1c63a9d4, 0x465a6132, 0xbf9f031e, 0xfb265624, 0x68aaf61f,
+    0xbb8014ae, 0x16246a61, 0x87d58f9a, 0x293de644, 0x1ca72d29, 0xa1a46b2f, 0x13f2456d, 0x9b8cf27b,
+    0x022cd84a, 0x7b9f0124, 0x72137d49, 0x61b85f4a, 0xdb1e5ccc, 0xd8486d8a, 0x7c801fe0, 0x49b2ad05,
+    0xa3f1f91e, 0xd0452592, 0x72641832, 0x662879bd, 0xfab872a1, 0x884d0ccc, 0x7cdb396b, 0xdf37b749,
+    0xa4ff1271, 0x32227791, 0xda9740e9, 0xb6a850e4, 0x5fc17fe1, 0x285bafcc, 0x8c963f93, 0x74c80220,
+    0xb0713154, 0xeafdadea, 0x4b3f5683, 0xc24824aa, 0xd632fef1, 0x5fefb887, 0x3fe70dd6, 0x4471bc5b,
+    0xaf083f10, 0x24b950c3, 0xe75458ac, 0xef6d99a8, 0x00b4df79, 0xb2433133, 0xad1e5972, 0xe7335e5e,
+    0x8f2b4924, 0x70549fc1, 0xa6fbef14, 0xd0914471, 0x7bc2ca6e, 0x86044169, 0xcde6a6d9, 0x0acda0a4,
+    0xcd56555c, 0x6b26d30d, 0xbbd34a60, 0xd5764876, 0x547c087e, 0xb75dbf1b, 0xae2e8e05, 0xc3e3398f,
+    0xd18881fe, 0x7de63ccc, 0xd1ec8ebf, 0xb9de257b, 0xe8ec9700, 0x48946fcd, 0x4bc03cf4, 0xfc7adaff,
+    0x2ffaca5e, 0x78cd1380, 0x5a4fdd9a, 0xbb0805fa, 0xae8ffe2b, 0x980c1275, 0xe9b6165e, 0x3e1b66cc,
+    0x0530043b, 0x862de469, 0xdae5952a, 0xc9894c12, 0xe0eb1e4a, 0x5daa159d, 0x7cb10f6c, 0xf52cb5ff,
+    0x569377b4, 0x5a00d736, 0x4fb03c94, 0x31660a67, 0xe0196d8c, 0x88a641a1, 0xefc774eb, 0x75777af6,
+    0x6341ac7d, 0x3705b776, 0x1254a1b0, 0xb85cef41, 0x2a51030b, 0x5db9de62, 0x894cc30d, 0xd1590a8c,
+    0x96175b56, 0xe7e010b2, 0x771ae411, 0x6d37a03f, 0xfcf93fac, 0x42aa9fb2, 0x0f000ecd, 0xcd59e016,
+    0xd4beff80, 0xd5f9a6f9, 0x5019d0b8, 0xfa835147, 0x598d9286, 0xac3226bd, 0xeecec7dc, 0xda77e3ae,
+    0x90c13bb7, 0x281dc2c9, 0x525620c8, 0xdec9c34c, 0xd5850048, 0xd027052c, 0xd6313f58, 0xdff63475,
+    0xbda61a0f, 0x6f4a173b, 0xeed1624b, 0xa530213c, 0x17b4459a, 0x58491750, 0x9557d995, 0x71d5f4e9,
+    0xd39b3544, 0x506c8eca, 0xbc3b9634, 0x48b0d42b, 0x24b37c4b, 0xc97da7bd, 0x39241df5, 0xd771e8cb,
+    0x252a6159, 0xd7128256, 0xfe235281, 0xcbbd4ab9, 0xbde9a663, 0x6eafc1d5, 0x66e888f8, 0x85b20ac9,
+    0xb9759e80, 0x0efc90a7, 0xe6fcd3c0, 0xd9837936, 0xad7726b9, 0xa14004c3, 0xb154199f, 0x667d5164,
+    0x5f356544, 0x37f1f291, 0xc752244c, 0x1080825a, 0xce73a5a3, 0x8bca440f, 0x6223beb9, 0x6f2d4392,
+    0x06557ac0, 0xb82e9829, 0xacb59bb2, 0xfe636d3c, 0x40e15250, 0xb8f89c2c, 0xc43ad777, 0x1c82c67f,
+    0xcf8dd008, 0x5319ae04, 0x77ba1d32, 0xc457c7e6, 0x34a68087, 0xc01f779c, 0x8f8e1d53, 0xb86acacb,
+    0xc07a8e1c, 0x49a0e26e, 0x19423bab, 0xac25996e, 0x3c46844d, 0xd6dba13c, 0x2f911289, 0x4851bf3c,
+    0x5296779a, 0x24a90d19, 0xeecb287b, 0x3d432841, 0x52a6a832, 0x790a9eda, 0x2159bd8d, 0xbe61aea2,
+    0xa89913b3, 0x0b8f45d6, 0xeb1c04ea, 0x7f03a989, 0x5ebe24f0, 0x1bb429d2, 0x7bd26590, 0xb72658e3,
+    0x01d2057b, 0x45ead73d, 0x9a85f0a8, 0x1b1d0d07, 0x8f9d6ba6, 0x76a354a0, 0x37cec022, 0x9cb94426,
+    0x00000000,
+    0xa8072130, 0x92cc9a4e, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000095780971304118053647396689196894323976171195136475136 */
+  { 0x00000000,
+    0xcb0116ed, 0x377eee41, 0x621667f6, 0xe4ba7ce3, 0xff29fd08, 0xc20dfddc, 0x1d810172, 0xd9d869b0,
+    0xae7f4b0f, 0x4c216fbb, 0x1be6aa17, 0xa0991089, 0xb57d2fc0, 0x7f3c9896, 0x3c726ffd, 0x745d7430,
+    0x53d7bffb, 0x21668b29, 0x31da061b, 0xd1862c50, 0x8eec72a3, 0x616a13db, 0xbd3cb45c, 0x3a87ff26,
+    0x7afdf03a, 0xfa8804b4, 0x3df634a2, 0x50651e22, 0xeb383e89, 0x50d7dd57, 0xc3de34b3, 0x70546994,
+    0x5866f78e, 0x4a4e2e06, 0x522bac9a, 0xa0bc41cf, 0x5f8faa9f, 0xbe847ae7, 0xea0dd96e, 0x9b4b23b2,
+    0x0fda2cb7, 0x2c02123b, 0xcdad6da0, 0xd345c968, 0xdabc733a, 0x201bae95, 0x2a7030cc, 0x73fed16b,
+    0x59b1733e, 0xfd83aa52, 0xb1b13d7d, 0x3510c83c, 0x0101a7bd, 0xdbdd9ca7, 0xb09256b4, 0xf14e41fe,
+    0xab645030, 0xc8fc5757, 0xc726ff9b, 0xc419a038, 0xdec00e0e, 0x3c09ba8d, 0x86e4a7a0, 0x44a31968,
+    0x8a77d35e, 0xb50fe003, 0x8ee23944, 0xe5468ed7, 0x5ceb00b0, 0xd59d5a91, 0x3488bbc7, 0xfb83df66,
+    0x68559049, 0x7f4a405d, 0x6aac112c, 0xe395b25d, 0x67b54ab7, 0x7de90828, 0x8ba960e6, 0xd5d2ada5,
+    0xb828ec61, 0xb3415143, 0xe6516dc2, 0xf629944b, 0x464bb654, 0x31e78e05, 0x2c1ac45d, 0x6ba0c3b9,
+    0xdcdcf59e, 0x87779d8f, 0x56c9cfe6, 0x83fb9e91, 0x73670011, 0xeb1f0ab7, 0x4d9ff426, 0x14b968be,
+    0x365516a6, 0xea19cfbf, 0xbe2f5392, 0xa59674d4, 0x0453e5ef, 0x9dc32e35, 0xeae3bddf, 0x6d1764e3,
+    0xa28bed6e, 0x6b3d04cf, 0x7e718fff, 0x06bf48a5, 0xadb6c709, 0x1390315b, 0x313c9fed, 0x161430a7,
+    0xbc0ec3d2, 0xa8120ec7, 0x3470ffe1, 0xf8efa08d, 0x56d9ae99, 0xfa2d35fd, 0xa0fcaab6, 0x00d03af6,
+    0xda69d417, 0x1694726b, 0xde48c869, 0x2aa9534b, 0x6e2ee760, 0x30b1e462, 0x326af1d0, 0x6b23c6b2,
+    0x586d1295, 0xeb258558, 0xa2fb21a3, 0xd10538cf, 0x1c3490d2, 0x9616848b, 0xa5c5541c, 0x531514b3,
+    0x147ed0ab, 0xd59952a6, 0x731c017e, 0x05def69c, 0xef7d6c5f, 0xb335931f, 0xbb97d3e8, 0xb5529ab7,
+    0xd659d831, 0x1440655a, 0x94864362, 0xc500f21c, 0x805ce6d6, 0x53953795, 0xf96a39a1, 0x64eb3f68,
+    0x5de6eb32, 0xb31b298c, 0xfe0edee2, 0x0b4bb6de, 0x4f45eaac, 0x33fa2392, 0xd69a56b4, 0xcad2affb,
+    0x97914de8, 0x86a3bf88, 0x543c3043, 0xcb0256c5, 0xb373899a, 0x60813377, 0x05ec6c26, 0xcd061149,
+    0x53e9a16d, 0x2e26cb9b, 0x733d4ef1, 0xc93ee867, 0x4becd17a, 0xf2244f27, 0xd73826aa, 0x3d873030,
+    0x1f7d99de, 0x1d1f0a5d, 0x9c5d446e, 0x6fc1147d, 0x625187ca, 0x8817777e, 0xb278e83e, 0x560ea0ee,
+    0x1191a044, 0x43703989, 0xf24ad5e5, 0x2b8ea517, 0xeb3f208a, 0xa43aa91b, 0x31a451fc, 0x42bd353c,
+    0x16acb930, 0xf151b1ae, 0x113d8c7b, 0x0d2e29c5, 0xa8fa4ad9, 0x0653680a, 0xe061c56a, 0x805aa79e,
+    0x74fe6388, 0x676c8eb3, 0x035f647a, 0x6d824255, 0x939d6141, 0xb1c67b38, 0x3bd0fd0d, 0x27c288fd,
+    0xb40a08ad, 0xb435f954, 0x1760f0a4, 0x5f7b8627, 0x876d17e5, 0x5fcf0c6b, 0x93be7e02, 0x8b7fb1b1,
+    0xf7bf91a4, 0xf6361224, 0x216d8261, 0x97c45dbe, 0xff9ac237, 0x63abc29b, 0xcae5a3a0, 0x0b4e4238,
+    0xf1672326, 0xd5f95fc3, 0x0d438beb, 0xf68421f9, 0xe091e0a6, 0x050bcf56, 0x17ae9995, 0x3f9324ac,
+    0x435678fa, 0xa80044a1, 0x6a76b62d, 0x038aa6d5, 0xb5ef9136, 0x89c13fc0, 0x83bbd585, 0x9f690a66,
+    0xbfe53161, 0x33f87d86, 0xfb87597f, 0x091e00a1, 0x9b1111ea, 0xb0107d2e, 0xb2e30be1, 0x68302c5b,
+    0x4db6c565, 0x21f3555f, 0xbdeb66d1, 0xdcfb076e, 0x1b020047, 0x5b16e0a4, 0x795c8014, 0xbecf3c83,
+    0xeab3c451, 0x7e97566b, 0x557cf279, 0x4442ed6d, 0xda93b1e1, 0x9c7b119f, 0x90590a98, 0xe0b86103,
+    0xaa936bc3, 0x600aa83a, 0xeb4461c2, 0x5cc9fea8, 0x1f4a0730, 0xc2fb4bda, 0xafd3b4ef, 0x0e4db9af,
+    0xeb4c1f80, 0xe750d015, 0xf4ddf3cb, 0x0e1962a6, 0x8963e74a, 0x7ed4ee5a, 0x3567a190, 0x942e35d5,
+    0x9f62ebd2, 0xcd875e55, 0x18da53e4, 0x05a80591, 0xe0de94d5, 0xddc5966d, 0xc10eac63, 0xcdb1595b,
+    0xdc730c51, 0x94ba2ddb, 0xa1301378, 0x3fda6271, 0x95616b8a, 0xcf680d4e, 0x7466f0e5, 0x9f730bfe,
+    0xf79e551e, 0xbc327033, 0xb6e19ed9, 0x8c16ef1b, 0xdc18ed19, 0xf8653a37, 0x62b209f3, 0x774ad53a,
+    0xf24d7fda, 0x6264246c, 0x49ae925c, 0xfd88e13c, 0x562d8c25, 0x2e382eaf, 0x6c55bc11, 0xd1bf1974,
+    0x1bfdd079, 0xb0749b5f, 0x20250f80, 0xb925a68b, 0x11ce9e6f, 0x13cece06, 0xcbf03915, 0x35834351,
+    0xf212df0d, 0x8d73d3cf, 0x7599c069, 0xf0ce8c20, 0x465640fd, 0xb829d2c2, 0x6a8d3ff5, 0x4fa772c2,
+    0x89fd592e, 0xa8191319, 0x19051f41, 0xaa661da5, 0x2940c278, 0xdd281225, 0x79b8a9df, 0x2a1cc41c,
+    0x0ac0dcd2, 0x174ba1a8, 0x6ef84cf7, 0x9504ae6d, 0x243d09fa, 0xd58e899b, 0x757e7fe6, 0xdec988f3,
+    0x88787be3, 0x3922c732, 0x4a18521c, 0x3ab5f696, 0x92e23a82, 0xdabf2f93, 0xc54978f7, 0x1da047a0,
+    0x52580ff5, 0xaf9ff650, 0x119b6426, 0xacc1395d, 0xf723f58d, 0xf84323ad, 0x36e12515, 0xf2f2f9fa,
+    0x26d2b1d9, 0x89335e75, 0xbd48c9b2, 0xb89dc2d6, 0x9b0ccb44, 0xcf1df92f, 0xa0829d08, 0x391ea0a3,
+    0x6df598f3, 0xb0fe07fb, 0x4bcb9416, 0x435b74a2, 0x9e5f63ea, 0x9fc80c93, 0xd593bbeb, 0x8e5221b0,
+    0xf91ee143, 0xbf284fe6, 0xff7c007e, 0x12ae3e9c, 0xb5f1e21c, 0xd134ba44, 0x012d6400, 0xb200dd6d,
+    0x00d23315, 0x6e643648, 0x3062e314, 0xaae3c291, 0x75cfe194, 0x56a7f1bd, 0xa1e5968d, 0x4754f2e3,
+    0xe2e933d9, 0xdd99d257, 0xc3ce045e, 0x920b7784, 0x15cb3587, 0xef380f80, 0xbf08220c, 0xb3a1e061,
+    0xa1238075, 0x8f16edf9, 0xfaef587d, 0x152b7f61, 0xc3584388, 0x42de446d, 0xecdcf18c, 0x6ecdd6e0,
+    0xb2c89887, 0x9cf0ebac, 0x60bc5e51, 0x1f9bd8dc, 0xacdfbdd8, 0x4c23fb3d, 0x2c31947a, 0x3b9082c4,
+    0xdc7f39a3, 0xd4fc3574, 0x79812734, 0x421df14b, 0x8a3ddbd3, 0x3a125d1c, 0x1d9478c6, 0x1a9cd99f,
+    0x2b4d173b, 0x077db7c7, 0x31483afa, 0x16997ea3, 0x06170ad1, 0x7398e709, 0xae59a1d1, 0x569d8906,
+    0x36d902da, 0xba707f06, 0xf80dec1b, 0x82020d12, 0xf8cde56c, 0x4f4b638c, 0x26aa62ac, 0x3256ee5c,
+    0x44528979, 0x9d1c7512, 0x02f8ccdb, 0xb22906c9, 0xda8edca6, 0xa6b388e5, 0x8cec0cd2, 0xa5dc07a7,
+    0x6f7d94ab, 0x781f9fbb, 0x79dd96fd, 0x1d5a1c56, 0x0df21dc8, 0xb697be41, 0xfd28a340, 0x00e03af7,
+    0x350ca7c0, 0x208925d4, 0x6f1fd051, 0xb6bf4c6a, 0x7a37819f, 0xb4e39d9d, 0x939792a5, 0x98deedb6,
+    0x491f3b59, 0x1bc422b1, 0x537b3928, 0x468505f5, 0x152d74f0, 0x49e466f1, 0x59d517b5, 0x55038b5d,
+    0xe6358e4c, 0x237d5801, 0xba83e4aa, 0x7b2ab92b, 0x0f5bf52e, 0x590ed74b, 0xc620c83c, 0x46fe84cf,
+    0x269df335, 0x58973345, 0x53002d09, 0x82fbe7d9, 0x75b1fa8f, 0x370bea1c, 0x57129427, 0x662123dd,
+    0x7685ed05, 0xb56ec6e1, 0x987095a6, 0x94d7957b, 0x13ab012e, 0xa1d51a5e, 0x68e9be0d, 0x76dcff45,
+    0x925ca394, 0x9dfdee6d, 0x1ff5e37e, 0xaa802b6d, 0x53c00bba, 0x8b6ae3e0, 0xc86a843c, 0xfe82ee07,
+    0x23552669, 0x6aff9779, 0x27353f12, 0xb6483f63, 0x905166aa, 0xa4e5d337, 0x48d898d8, 0x491a43bc,
+    0x7dedbdec, 0xa0af1b70, 0xc5b9600d, 0x0e114525, 0x5ef19c08, 0x37e0fa14, 0xa77f196d, 0xcd9ebc90,
+    0x65b660b2, 0x365856ec, 0xf3b731f9, 0xa7e67c3b, 0x2a416e8f, 0x69fdb2a7, 0x73ab2dd0, 0xb5b55dc4,
+    0xbb0e8d56, 0x3d5b971d, 0x05d1deb8, 0xe4db2f3f, 0x01c3a78f, 0x55c06edf, 0x6b345ce4, 0x98db894a,
+    0x0d8e420a, 0x761c2c3f, 0x4a4058aa, 0xb2706d60, 0x9e3bd6e4, 0x79a352fb, 0x0df05d07, 0xd46b5eef,
+    0xcbce3bf0, 0x7e353910, 0x97df5eda, 0xcd6fb906, 0x6c57cdc7, 0x3283f85b, 0x1f05e42f, 0xf2d3c1be,
+    0x4cb6bf00, 0x195ff644, 0x461aa810, 0xb9aab0a0, 0x60342ab6, 0xd0cbdd85, 0x974fe15c, 0x2de8c4a3,
+    0xa5f0ec76, 0x09a8f83d, 0x1d7c18fa, 0x76a3c417, 0x4052962b, 0xc9ae8b93, 0x19f1f805, 0xd95b7637,
+    0xa1d76c20, 0xe5aeefdf, 0x30abad8c, 0x236b4181, 0x9e8c4682, 0x53b233b4, 0x18ee5f41, 0x22432988,
+    0xb3053d4c, 0x1f635fca, 0xddac471a, 0x98d8e598, 0xaccd77af, 0xb48d9afe, 0x75c44136, 0x863542cf,
+    0x74722764, 0xd3468cc3, 0x126ec9eb, 0x3582add3, 0x022b51ce, 0x9c7c3039, 0x9afe01b6, 0xbf61e2b5,
+    0x5cab93c9, 0xcb8c6907, 0x5d47596d, 0xab13265e, 0xa70a66be, 0xd682f21c, 0x1d4dd544, 0xfd771cca,
+    0x0f00e07d, 0xcf043c97, 0x070be234, 0x688f6982, 0xb0d49368, 0xac6f0f13, 0xb945fab0, 0xc62981bb,
+    0xfd780f7a, 0xc7f308b7, 0x2640d86a, 0xb2439103, 0x5322a13c, 0xe6415e8a, 0x05d2b99e, 0x17dbe5ec,
+    0xd1089be1, 0x89e9c262, 0xdc40aaf1, 0xc3fe7dba, 0x02bccd9e, 0xe48ce8ca, 0xfdaef8d4, 0xfc76b159,
+    0x52251154, 0xf901c82f, 0x25109392, 0x151fc0ac, 0x4589ca66, 0x530a3809, 0xe223bba2, 0x82a2ff4a,
+    0xb2652620, 0xac3cc09a, 0x0e731b26, 0xe4fa2cae, 0x3fa9064d, 0x38205d91, 0x345ae2e0, 0xaf88d945,
+    0xa555e7d6, 0xf1ec5ef9, 0x3b817069, 0xfc4c9f2b, 0x6a539330, 0x067df60f, 0xa3ad9866, 0x68976555,
+    0x12527ffa, 0xf5dc1bf8, 0xaa9814fa, 0xf27911f0, 0x1ba90eda, 0xdfb93f31, 0x446f6857, 0x220c4e42,
+    0x87edce20, 0x221f2d7c, 0x283c2a6e, 0x7395cb4b, 0x7eea4902, 0xf6fa746c, 0x8da118d2, 0xf4a19bea,
+    0x7558d36c, 0x38dd6d5d, 0x5a0a44d3, 0xe94486ae, 0x570976a0, 0x1e27b6c8, 0xaebaac2d, 0x4eb5ba29,
+    0x8aa469d2, 0xdcaa7665, 0x2cc032b8, 0x585ec1cd, 0x87f36a90, 0x1fa30a78, 0x7ea85261, 0xc0d37407,
+    0x0e26fec4, 0x2b02f657, 0x1c2e76eb, 0xc0f819e5, 0x7301aff0, 0x85ae9250, 0x4530c5c4, 0xd4663cd5,
+    0x2f4e1f4a, 0xff073319, 0x5484397a, 0x32f55618, 0xb105a135, 0x5e89eff3, 0xa3afeb71, 0xd4c655a3,
+    0xa21feba7, 0x0b958795, 0x0e8458f6, 0x44b73136, 0x7877f6d5, 0xe6e464a0, 0xb6c81c33, 0x419f5afb,
+    0x14837115, 0xffa2ad29, 0xaf58bb4c, 0xaa34c527, 0x5db53931, 0x8ff98cc4, 0x316103de, 0xf2913e0c,
+    0x93b7a5fa, 0x0854586c, 0x04c69c2b, 0xb0ec7161, 0x5427a53a, 0xbc1ee8ea, 0xff0bd43e, 0x1ef728d7,
+    0x859c3f14, 0xfc72f5ad, 0x5e54186c, 0xf3bc7cc3, 0x4b82c442, 0x1ec0b8a1, 0x015fc378, 0x90a013e9,
+    0xe3e8398f, 0xe73fded1, 0x642a957f, 0x1fb2e720, 0xf0be9fc4, 0xce77e758, 0xd880e40b, 0x3e13eff5,
+    0x6a785c23, 0x8cfbb0ea, 0xf5b89f83, 0x7c751773, 0x76b9e0dd, 0x47dbc30c, 0xb7a23ffa, 0x38e43d12,
+    0x6d5603c9, 0xba5a2638, 0xc93a78b6, 0x5d9fcf1b, 0x17fc4df6, 0x34ff524d, 0x53418bc6, 0x60dfe0d6,
+    0x41ca80f4, 0xa0260da7, 0xe2b16ebd, 0x6c417b97, 0x7fd5145a, 0x23d8c942, 0xdda92f94, 0x389b61eb,
+    0x1a7bd50b, 0x51cff7e8, 0x10f09a6f, 0xfbe19fd9, 0x120a63a9, 0xca750e59, 0x377357d3, 0x6d81fa94,
+    0x58b7623c, 0x2eaa882e, 0xa970faca, 0x7affc681, 0xd39a1628, 0x3e8cfb0e, 0x70e48d6d, 0xf1094c52,
+    0x51e00197, 0x106d7465, 0xfb0fd901, 0xd4d71ec7, 0x4840a4c3, 0xa1c26545, 0x41f53c4c, 0x9c8ca6e6,
+    0xbb09891b, 0xf4da1ec4, 0x1c8a39bd, 0x13731f22, 0x365141eb, 0x9c57a847, 0xed2e57da, 0xcbfb58d1,
+    0x7ae26d9f, 0x50862f93, 0x8591db25, 0x83063d8a, 0x8da35939, 0x842899cc, 0x22f1f3fa, 0x8f163f57,
+    0x07359b2f, 0x81aa3f48, 0x1817e791, 0x75008af5, 0x5561332d, 0xe8e4346a, 0x83ca94af, 0x7ddb3a8b,
+    0x73944d22, 0xb401e7be, 0xe99f076f, 0x7d045a13, 0x23e03f47, 0x40ac7735, 0xb574d03c, 0xcdab603b,
+    0x53719879, 0x0b84fec2, 0x50963dc3, 0x36a6b8d8, 0x0c971127, 0xfba457ac, 0x9b653caa, 0x1b523e20,
+    0x50a16d00, 0x8effb43f, 0x7b03f12f, 0x3c37190b, 0xa167f2f2, 0x3e4b6eb5, 0x0cba29dd, 0x52c30277,
+    0xef1a6983, 0x6404b4fd, 0x06a87ca4, 0x3da9d932, 0x6ed453db, 0xd8706fd5, 0x826b15fb, 0x5c06b9a8,
+    0xcd563645, 0x9384d086, 0x30d18666, 0x0df132da, 0x6dc4c67e, 0x5c027aaf, 0x10daaa42, 0x652ed306,
+    0x6eedcf21, 0x88a440bb, 0x955281b7, 0xb1b3e528, 0xfb32ff36, 0x7b516bda, 0xc6dc5a2e, 0x2425340d,
+    0x7de57d36, 0xfcbbd399, 0xc33d2f67, 0x734c67d6, 0xc7a2fcb4, 0x9bed61bc, 0x882ce43a, 0x28592a67,
+    0x4ab1313a, 0xcfe4d1ee, 0xd4d2b3e6, 0x62800f2d, 0xeddf014b, 0xbeb5c6a9, 0x947af6e6, 0xb25f824e,
+    0x5c724bc5, 0x6e3f7f28, 0xbd5bbf75, 0x4c5175ef, 0xf0cc91a7, 0x22a1717f, 0x8f7ab975, 0x6811a699,
+    0xb6ab6bf6, 0x8b80cf82, 0x717ce6ac, 0x133f6fba, 0x0faa54ed, 0xfdcd1c6f, 0x71bd4484, 0xe6d8732a,
+    0x6e617eff, 0x2f5eaed4, 0x9d618ffe, 0x2efaeb5e, 0x0ac2e0ad, 0xcf2c2b5b, 0x20d96bd4, 0x58964315,
+    0xbf38576c, 0x7dc00d02, 0x7ed34090, 0x57a73ac5, 0xa5a00bb5, 0x99991c72, 0x12cc7760, 0x2e2974fa,
+    0xde7297ea, 0x93c5e9aa, 0x02c74f30, 0x67448d3c, 0xc7a5af10, 0xbdeb63eb, 0x25621300, 0x6578788d,
+    0x70598e0a, 0x53a7222e, 0x6e6eae4e, 0xce9f396a, 0x1d6b2fd5, 0x5772248a, 0xef71ff03, 0x145a75b0,
+    0xd0639490, 0xd1af3617, 0xb0d09bd1, 0xf86aa8a1, 0xacb23ebe, 0x596798ea, 0x12562005, 0x5698f88d,
+    0xc7ba04be, 0x8e115c5d, 0xc35e31a0, 0x0d682a0a, 0x9a72f119, 0x6f9f13d5, 0x043c99b4, 0xa3f48af5,
+    0xcd7dfde0, 0x0c0eda48, 0x74eb500c, 0xac6da983, 0xd186854d, 0xf9df37ea, 0xc3ccaef2, 0x1b5be424,
+    0x34e5a488, 0xbbd67442, 0x52f0b154, 0x1d99ced7, 0xd3d31d9e, 0xf1162a0b, 0x12a1b6f6, 0x07847767,
+    0x5672fc34, 0xcc4c9906, 0xd232c9df, 0x80b16082, 0x4127a2b9, 0x43ddae24, 0xfc51dbab, 0xb8f30758,
+    0x30876456, 0x053f5ffe, 0x338b3094, 0x37306476, 0xe324de61, 0x88960f7b, 0xaa9e05cd, 0x9974ccef,
+    0x6f6176f2, 0xcbf3882d, 0x6894571f, 0x87144aaf, 0xe1563abd, 0xa8252f22, 0x449cf5c4, 0x37c15556,
+    0xa08abd51, 0xf7057899, 0x72192974, 0xe7e614d8, 0x5008798c, 0x5eb5d310, 0x22fcd43d, 0x4ff19c52,
+    0x333d425f, 0x79054a87, 0x0fc18ead, 0x62899f02, 0xea05d50c, 0xf0afa4f6, 0xaa1aa80e, 0xc91ac5bd,
+    0x6540fab3, 0x7a8374ee, 0x3dfa9a26, 0x2f103868, 0x92e45c66, 0xf096e032, 0xfc53a829, 0x371f1223,
+    0x380c4ac2, 0x68b21133, 0x0ec6b855, 0x44cf8c6c, 0x5beeeb89, 0xd78812c5, 0x4b8bad20, 0xc84d8d38,
+    0x00000000,
+    0x54039097, 0x49664d27, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000047890485652059026823698344598447161988085597568237568 */
+  { 0x00000000,
+    0x6a380bb2, 0xee00088a, 0x2e024857, 0xfa2420fb, 0x975b29f5, 0x06828fa5, 0x839980d8, 0x524a32db,
+    0x5c8202a8, 0xebc52516, 0x7cc10f5f, 0xd8408101, 0x4de21056, 0xc35bfad5, 0x58f78203, 0xfc41b025,
+    0x084d1d08, 0xabdf2ccd, 0x53c9b4f3, 0xffb71be0, 0xfa6d24ae, 0xe1c6ce61, 0x2baa4448, 0xc22b216b,
+    0x80b9ba57, 0x709cb0b1, 0x0109a1fe, 0x15b1f3a4, 0xb86e7c33, 0x0ad4b547, 0x40502d8b, 0x68da26b7,
+    0xfe6e496e, 0xfdc4fc93, 0xbabb72bb, 0x2c81c318, 0x53ee6a92, 0xecd43feb, 0xf41ee1c5, 0x673d9d8e,
+    0xf1bb9187, 0xb45360f2, 0xa6a3e24d, 0x8c800d7d, 0x59fc0167, 0x9f2dc569, 0x10c9b0fa, 0xb5908425,
+    0x2255cdee, 0xfd126d09, 0x413b89da, 0x901596c0, 0x204dfb0f, 0xf161b528, 0xb34c93b6, 0xe7adb493,
+    0x50ca458d, 0x9bf94dcf, 0x6a1b5fce, 0xad6f4536, 0x19d13b46, 0xe708bdcc, 0x9855be59, 0x9ddc831d,
+    0x64bfcf00, 0xb202a3c8, 0x91df608e, 0x265c1fc0, 0x95a3d6b6, 0x831e9f52, 0x7c103e61, 0xd8822e4b,
+    0x7d4b827d, 0x43bb476c, 0xb47b64c8, 0x40bcbcfc, 0x841be209, 0xc5fda7df, 0x65602b02, 0xd99e9c3d,
+    0x7aa9caad, 0x336de9a5, 0xa949da35, 0x3e91b79f, 0x54b36b0c, 0xeb8a5746, 0x8092b716, 0x4f26213a,
+    0x824e2478, 0x1d356bee, 0x87194933, 0x574444ce, 0xd69d6712, 0xc9aea182, 0xda67c947, 0x021192e3,
+    0xba0979e5, 0xec6e6a77, 0xdf6ab8cf, 0xa3cbf3ac, 0x4681244e, 0x2c91eb68, 0x54022699, 0x7a8a5853,
+    0x42fd6a51, 0xf4c058c5, 0x3d748d47, 0xf4fa801c, 0x4f3e0724, 0x98178375, 0x25049f4f, 0x2d77883d,
+    0x77cbddc6, 0x3d6a23a5, 0xb5d5765e, 0x05d28577, 0x3dbb2bb5, 0xfa32f6a0, 0x77a358e4, 0x2b6e429e,
+    0x1b4bd4d5, 0x817de3f2, 0x35ffb1c1, 0xa0e031e7, 0x4e8832b3, 0x11a55dcb, 0x1157ab8a, 0xa78e100a,
+    0x8e266561, 0xb93aaf33, 0xc3026547, 0x546c9b88, 0x08617989, 0x41a69689, 0xa9b0ab41, 0x4e71888a,
+    0x9fb30f29, 0x73b4f69f, 0x7414e589, 0x4b826c8f, 0xe7030281, 0x4d640c41, 0x78013527, 0x617ec25f,
+    0x00f67327, 0x8370ae5d, 0x910a7161, 0x9328b4a4, 0x70b7dd0d, 0x93d0008c, 0x6cd87067, 0x7ffac89c,
+    0xf1e54b08, 0xa4a6ef70, 0x731d8d1f, 0xf2ebee26, 0xb74b4a1d, 0x459a8bce, 0xe0cec0db, 0x584049f6,
+    0x81e18070, 0x81c9f109, 0xb250f417, 0x5a4eb4a6, 0x5c266005, 0xab85f806, 0xd85dd1ed, 0xf483defe,
+    0x0d982243, 0x32d35778, 0xe44a8c3f, 0x11405e6d, 0x0ca4e0ae, 0x74c466a8, 0xf044f321, 0xeb019d38,
+    0x1b6f183d, 0x642379df, 0x898b7bb8, 0xcc9ed058, 0xb4aacc58, 0x04d46e80, 0xcb25ce23, 0x54782ff3,
+    0xb4be3602, 0x455b56ac, 0x956d2141, 0x32240c9e, 0xadcc507d, 0xf599065e, 0xe7cfd1a0, 0xfcbe8cd3,
+    0xfaea2994, 0x8758e874, 0x117722cb, 0x0c53d6de, 0xe1308f0d, 0xd4c7ec94, 0xe9741116, 0xc0f86a37,
+    0x49976cd7, 0x97e1573b, 0x394cc57a, 0x0bb43cf1, 0x0de1fbd4, 0xf17adb41, 0x34f35d27, 0x070fe096,
+    0x17967e4d, 0x45a86359, 0xb2d893c6, 0x9df1cd6f, 0x9d1dff07, 0xc5f09c92, 0xf8b164f6, 0x0c600149,
+    0xdb985aca, 0xfbecb269, 0x9b9424f5, 0xeb45dc54, 0x91d3d323, 0x4cbea4ee, 0x2c6ed73a, 0x340721d3,
+    0x9b6f6fe6, 0x42545182, 0xe679b345, 0xfc8542d8, 0x1294259d, 0x208aaa53, 0xa045d425, 0xbb274f45,
+    0xa5c177ac, 0x86770b4e, 0xceff57a1, 0x61fc0724, 0x2d34916d, 0x11da27d2, 0xc4f6c3aa, 0x76cfb770,
+    0x33ed1783, 0xe1a174de, 0xada0fc19, 0x05b1174e, 0x9372d336, 0x1899a325, 0x2308528e, 0x71b05a55,
+    0xb8d7bf8a, 0xa90bf82f, 0x74f30d29, 0x9622abdd, 0xd40f86ec, 0x07f076c8, 0xae529910, 0x20fbf649,
+    0xe900e354, 0xf7b98ea1, 0x627d18d8, 0x39ba8ec3, 0x98dc9432, 0xbfb77337, 0x648c07ae, 0xfcc333a0,
+    0x5d82a44c, 0x25d3e070, 0x4a84d1ec, 0x259da101, 0x7f9dfbf9, 0x81939b41, 0x70df7058, 0x7f102490,
+    0x5e93e2f2, 0xe4fe8fbe, 0x911daaab, 0xc2f09530, 0x10c29e88, 0xb5b0e3b6, 0xdac8063a, 0x3ac3d010,
+    0xaacf50e6, 0x6b51e05d, 0xe9d69ed8, 0x5020b0c5, 0x3b594fb5, 0x57c619f1, 0xc702d69e, 0xe28702a8,
+    0xae602330, 0x0cc7ed28, 0xf9cde4f0, 0xbd7d9d59, 0x132d031a, 0x85b54d0d, 0x766470d0, 0xba9a99f8,
+    0x67158f33, 0xb59f6ab2, 0x822a502c, 0x975859cf, 0xb794cb60, 0x37ee6221, 0x9aa4eb7d, 0x2ddb9201,
+    0xf05fee03, 0xce3fbc48, 0x61dafa7d, 0x3e5aeac8, 0x569090d6, 0xae6cfe7b, 0x4f403ff0, 0xf919af9f,
+    0xb1161b06, 0x48962efa, 0x7f89ba94, 0x784eed65, 0x9101cfac, 0x91f3f88f, 0x7603e57a, 0xf65fe00d,
+    0x3a24c186, 0x49e933ae, 0xcfa22057, 0x30891db7, 0x47281303, 0xbc455968, 0x8f08fad2, 0xbb109c2e,
+    0x1584a160, 0xc8e9eaac, 0x0d04dd34, 0x01248a5a, 0x412b22de, 0x3d1a9bd3, 0xffc17b0d, 0x0179e664,
+    0xfc7f1d88, 0xd2f1540b, 0xefbb92fa, 0x00313347, 0x30808620, 0xe6232feb, 0xa37d333a, 0x4dda08b2,
+    0x04f33f9d, 0xe7fe1eb9, 0x507e570e, 0xaff837ef, 0x12e88b85, 0x35eb30de, 0x597cbfa1, 0xe5006da3,
+    0xb3e6611a, 0x66f9edcf, 0xff7b0b04, 0x09696795, 0x029ccbcb, 0xfd96a081, 0xdefc6cba, 0x2abcb2e6,
+    0xbde72951, 0x9b175ed5, 0x09ffdd27, 0xd9f43ec6, 0xad183882, 0x09cefba0, 0x693e736b, 0x7bff0aaf,
+    0x42f0a090, 0x8b3b3cce, 0xed5408d2, 0xce94d7ed, 0x631973ef, 0xf1a3c991, 0x5eb42506, 0x2cda0e98,
+    0xd044cce1, 0x338fbc10, 0x12ca9213, 0x68d8802f, 0x126a3ffd, 0xf5692b2e, 0xed2f3d9f, 0x3584d396,
+    0x69304554, 0xfd80961f, 0xfeafab2e, 0x6d30e0cf, 0xa0e99ddb, 0x9ec34b3d, 0x17a35a29, 0x391254e6,
+    0x1fd39428, 0x685edf8d, 0x5d7b858f, 0xc73457c0, 0xcdebf198, 0x7ba62b23, 0xe940135d, 0xdfa88e22,
+    0x9b74774e, 0x793a2731, 0x8135cf42, 0xe92299eb, 0x118f3eae, 0x1ff22245, 0x1667f956, 0x78a9f483,
+    0x433d3bf8, 0x99ad69b1, 0x7f16bb76, 0x9c41b649, 0xa9447f74, 0x33dea64f, 0x6e7aa7c2, 0x1b4e7e10,
+    0x18281fac, 0xb0f63c54, 0x71d8c9fb, 0x59f6baa8, 0xc249f6ff, 0x5e0f5b78, 0xa491b074, 0xf51a1435,
+    0x246dca97, 0x26aa21b4, 0x504633e2, 0x054323cd, 0x9cbe2b87, 0xe1efde13, 0xf3e61fdf, 0x16fe21d5,
+    0xde2761ec, 0x08990991, 0x443cc963, 0x3abf3ec2, 0x5d7d7645, 0x8769a19f, 0xd8327575, 0x1cde4fbf,
+    0x1dff4acb, 0x95a3a507, 0xe836f13b, 0xda2907df, 0x4db64a02, 0x221fdd8a, 0x68944833, 0x8b3b5f89,
+    0xe442d908, 0x99afe3f8, 0x527d4572, 0x97fb09e6, 0xd87424c1, 0x4c922ac4, 0x0bfa99ff, 0x5a064d5a,
+    0x64690ddc, 0xd049a629, 0xffcbdc1a, 0x22bb30e4, 0x12d24013, 0x8facaaa1, 0xa89a63ff, 0xfe4c3013,
+    0xa8dc5a7c, 0xaf9bce9c, 0xdf9cb9de, 0xbed6b9fa, 0x2d4ad41d, 0x3203e562, 0x577a056c, 0x31e6af52,
+    0x74f943e1, 0x0e3babad, 0x01c32eeb, 0x2500d718, 0x26ce3ff4, 0xf73f700d, 0x31a15085, 0xa66ea7e1,
+    0x7087f5d1, 0x4dd600fd, 0x52290eb5, 0x4fc5248b, 0x9e0f4be1, 0xbce06fc8, 0x183c626e, 0x88638983,
+    0x54390945, 0x28fbecaa, 0x8f9737d9, 0x09558765, 0x6a95b361, 0xd25f1b28, 0x9ff7f564, 0x8049836f,
+    0xc1679a91, 0x49e02091, 0x24672815, 0x2fa5c278, 0x5c9c4cf8, 0x0e763e54, 0x3aa0325d, 0xeeeaa2b8,
+    0x1ce262c7, 0x4ca44f73, 0x16ee6bc8, 0xcde663d8, 0x23a28584, 0x74fd84cc, 0x5f14fef7, 0xbe36d737,
+    0xb7d8fdbe, 0x7561d688, 0x2ede7354, 0x118f5675, 0x8bdc0f6b, 0xabce640b, 0xde3cbe5a, 0x5cee64c2,
+    0xb5ddbd5a, 0xaf999d46, 0xe34f5bfc, 0xa112e6e5, 0xc7d08527, 0xeeb0c256, 0xb9f4c1ac, 0x8aaff3d0,
+    0x14e27e6c, 0xa10cc36b, 0xaf6829e7, 0x3d6fa51e, 0x499b8e69, 0x411a59c5, 0x863e885c, 0x05f74cac,
+    0x5e65add9, 0xee3c26ad, 0x6535e93b, 0xb187a335, 0xd5d240f3, 0xbfbb14a0, 0x34a122d6, 0xb930610e,
+    0xaad2d797, 0x977d1f69, 0x268c9862, 0x96189f0a, 0xa67c756d, 0x45b564b1, 0x55084899, 0xa1bb07d9,
+    0x17f2e4cb, 0x5e2a7fae, 0x566c72ba, 0x3a9826b8, 0x827873aa, 0x0d5231dc, 0xcd19b005, 0x9435ff84,
+    0xf1aa150f, 0xfab481b1, 0x54bc9e21, 0xdd2ff008, 0x86931fc9, 0x9edc9836, 0x7f7ef3e7, 0x0120c348,
+    0x45b19827, 0x0803f578, 0xdd81d5bb, 0x6ac171f0, 0xe660c545, 0x610504be, 0x75de24e4, 0x04b94d2a,
+    0x2d485cef, 0xa7ee2893, 0x93b8c1d1, 0x952fd76a, 0xfada0ce6, 0x778ea02d, 0xe5cd252e, 0x84dbc4de,
+    0x5db3fdd6, 0xa78d504a, 0x04bf0884, 0xfc0d4228, 0xb8233d8d, 0xa98b7639, 0xbb9fc55a, 0x4c7a335e,
+    0xe367564c, 0xbb389986, 0xf1e03b8e, 0x2f3aa8e7, 0xb0dfdff0, 0x85729c6c, 0x77c61299, 0xc044a208,
+    0xd16b1ec7, 0xa816fb15, 0x50f61c58, 0x393dbad8, 0x40991707, 0x8c404d2a, 0xacc9ac9a, 0xa768bf27,
+    0x6748625d, 0x2c9d2e0f, 0xe61f2259, 0x911fe41f, 0xdf6cb36e, 0xaaf9f023, 0xbd774f61, 0x0f6ede0f,
+    0x59cc683f, 0x15bab731, 0x458e2047, 0x280c506b, 0x7aa7e6ca, 0x28b1e66e, 0x6364cacf, 0x70ae2be1,
+    0xb82e6bab, 0x97e25786, 0x18a95a76, 0x21ee51dd, 0x7c461cc0, 0xe3af5d43, 0x3144ea7a, 0x46d30738,
+    0xdd6aeed6, 0xd4bc1d59, 0x25e594b8, 0xbf831bbe, 0x8836a301, 0x898e4c38, 0x0bc8314c, 0x252370be,
+    0xd989bb7f, 0x788bffdb, 0xab698c2c, 0x931c12c9, 0xfd8bf8f3, 0x3c701652, 0xd29e026b, 0x8698e6a4,
+    0xacfa982a, 0x9f7be83d, 0xfde66900, 0xcfbd5003, 0x80df0d3e, 0xed8122e6, 0xa10e56dd, 0x26bc254a,
+    0x2858665a, 0x1c3479e4, 0xfad81d9c, 0x93b780aa, 0x9aee8802, 0x4726ba7d, 0xd308f17a, 0xbac17dd5,
+    0x7baaf2bb, 0x3aea1481, 0xe64713fd, 0x49fd1442, 0x8725ec82, 0x83fc9ed4, 0x6249d341, 0xf1db7b2e,
+    0x607c67f0, 0x653f8715, 0x820e825b, 0x064b7474, 0x5632e5b9, 0x84610e10, 0xbbdce057, 0x6ad9b5bf,
+    0xcd776863, 0x38fe888b, 0xf8871e68, 0xdca47889, 0x531f1134, 0x7074c287, 0x427656a8, 0xfeb88d98,
+    0xbff0dfa4, 0xd209f16e, 0x9256021b, 0x71c0297c, 0x7d370a11, 0x0af35c69, 0xe9418e2d, 0xce4e3060,
+    0x84b14a9b, 0xd4a08684, 0x8bb7621d, 0x00669817, 0x70637c2b, 0x4067bbe3, 0xac8e2d7c, 0xeefb98f7,
+    0x1c99135f, 0xa3506916, 0xe23f412f, 0xdd740faa, 0x0d11acc3, 0x7c6ff18a, 0xfb1a5176, 0x9108ddb7,
+    0xd108b9d7, 0x12b827cf, 0xafcf203b, 0xe178e12d, 0x1df15f67, 0x5d433b13, 0xf281df3b, 0x459f5b86,
+    0xcac5acbb, 0xe663abab, 0x5076e2c7, 0xa69c97cb, 0xe84ca3b8, 0xba995a8b, 0xe733a14a, 0x4e372659,
+    0x6f3f819f, 0x7e844879, 0xd2259f1d, 0x51d391a3, 0x610635dd, 0xf646ce41, 0x1a1896fd, 0x6e464d6b,
+    0xef796ec0, 0x6f382a3e, 0xe6fa4947, 0x05b577d8, 0xe8294b06, 0xb16bef26, 0x3bdae383, 0x9506414f,
+    0x8d4ef0e8, 0xba9c2b17, 0x2436de53, 0x3a9373e6, 0x16d1d15b, 0xcb7d599c, 0x37ede45a, 0x8c5f1541,
+    0x9766de19, 0x80276f5d, 0x674b6c5c, 0xa9c8f20d, 0x8175b309, 0xf351a5b4, 0x5ab31f6b, 0xa2bfa646,
+    0xdd3586c3, 0x66e88b45, 0x6a6907d4, 0x591f6aec, 0xe2421848, 0x98471514, 0x78dc60f4, 0xb115260c,
+    0x3249193a, 0x7dc9c4ce, 0xddf8f055, 0x8a469ec1, 0x6381359d, 0xe6b048cc, 0x1cb01eee, 0x45af2429,
+    0x3a845182, 0x7ef41ecb, 0x86bc5cb6, 0xc7e92a44, 0xc36d460a, 0x108df0a1, 0xa5d91da9, 0x64c4aee4,
+    0x6f26a298, 0x2dedbe27, 0xc7a8164f, 0x2c593bc7, 0xb536f63f, 0x7abdd5fb, 0x77e8f2a4, 0xe092c811,
+    0x89745728, 0x759e2108, 0xd26248a2, 0xa3c59d44, 0xe9f6fa9e, 0xbe314173, 0xd4df3773, 0x37005da1,
+    0x5ee8c85d, 0x27f014b8, 0x8ae92ac2, 0x8ab769cf, 0x48bf038f, 0x6319e0f1, 0x0a30b65d, 0xee840a28,
+    0xbb067132, 0xa16ad0d9, 0x7f029b57, 0x0504932f, 0x55f0ff0c, 0xefe48381, 0xb2d3291d, 0x51747c09,
+    0xa0047996, 0x2308b3cd, 0x800bb653, 0x32f63145, 0x6583df64, 0x816833f3, 0x0a998b23, 0x0ded370d,
+    0xde8d80f4, 0x8b558f33, 0x9632ea5d, 0xde5f3b9d, 0x73b7207c, 0x8194ffdb, 0xb295630a, 0xf5789335,
+    0x53ef1ebe, 0x20ae706b, 0x70353454, 0xc865d680, 0x7f81c5e7, 0xbb1450e8, 0x29e518a3, 0x03da554c,
+    0x654cde3d, 0xbf7c49d4, 0x80d5b5c8, 0xd267609f, 0x1231c297, 0xc832381d, 0x83e27782, 0xe00ad4c0,
+    0xae4159b7, 0x1bdb6c61, 0x010c0825, 0x74b6042c, 0x3c2dea80, 0xd14d2a53, 0x3c650982, 0x4da8affd,
+    0x3ce08910, 0x52d3de75, 0xa83c520a, 0xe8c5d11b, 0x6cff08a3, 0xc17ea8af, 0x1958e186, 0x4c14fad5,
+    0xce117abe, 0x651a261d, 0xf80f53ce, 0x8c427c20, 0x639852bb, 0x2b406f56, 0x09e088cb, 0x51059e66,
+    0x5fa137e1, 0x421c1b92, 0x27001d84, 0xb390c1c9, 0xa91e718f, 0x689b9e72, 0xa918ef78, 0xa025a708,
+    0x0cf73a25, 0x6409dbfe, 0xda5df04d, 0xc2dc77be, 0x47665152, 0xaefe1f3a, 0x2d32ded7, 0x0251c241,
+    0xb3705b99, 0x75ddf9bf, 0xda65bae1, 0xe59a982f, 0x38f62c1d, 0x721c9b60, 0xa4676042, 0x012bffe7,
+    0x07feaef9, 0x74518c47, 0xf9c5305b, 0x50efe8ea, 0x5acb46b3, 0xe6509aea, 0x15a29780, 0xf33b1872,
+    0xd9e188b5, 0xec4690a6, 0x5bcaefdc, 0x4b8eb7ef, 0x240f46ba, 0xf009d71e, 0x696e06ac, 0x5e44bba4,
+    0x26bdb9dc, 0xd1848a87, 0x5c35b3fa, 0x5ad66c8a, 0x75a366dc, 0xda43ff40, 0x32e0c76b, 0xb38fb50a,
+    0x18f7200e, 0xc56d8195, 0x0c48ba2e, 0xfaff576d, 0x8c403a2f, 0x7e430857, 0xdbdffc11, 0xee89a22d,
+    0xddb543ac, 0xc58d2150, 0xf3e7f80b, 0xa5549329, 0x8c5a49df, 0xa28f04ae, 0xd3c48cc4, 0x97899bbb,
+    0x8de913e3, 0x29d30909, 0x0c39f16b, 0x757777a5, 0x0be7bfb1, 0x1f576655, 0x77a976ab, 0x5702a53a,
+    0x17a1a84f, 0xe7418419, 0xe9dd540a, 0x3d914484, 0x6be03e75, 0xe89dd301, 0xba69b43b, 0xd8e81ea3,
+    0xb1cddb24, 0x466d1087, 0xe4f6b6d7, 0x22291a82, 0x275dfff2, 0x668c00b4, 0xf028ef6f, 0x7eba52a5,
+    0x9d1eaa3d, 0xf7e243f4, 0xc98f4a88, 0x8b26d20d, 0xd6ef989b, 0x2191e519, 0xbcee4bdd, 0x6b8938a1,
+    0xb3015605, 0x4806392a, 0x4f56d163, 0x39a80331, 0x5500289e, 0xba8721fb, 0xbba7cc92, 0x30ff4133,
+    0xa5788db5, 0x4586b5b5, 0x07ea2818, 0x7ea13231, 0xbfba7514, 0x78bcb366, 0x08850d02, 0x87fa4e12,
+    0x75afd673, 0x1fa2f994, 0x3a63a6c2, 0xe1b3df9d, 0x00d2ee4a, 0x3d2014ac, 0x656b5dbb, 0x1c1ddd97,
+    0x05b98821, 0x01925e15, 0x8c5c7711, 0x6fa2288f, 0xc59ca354, 0xdff51125, 0xcda83455, 0xc01d96ea,
+    0x722a1a1e, 0x71278d5d, 0x427fb591, 0x097eec2b, 0xc1165435, 0xa979f857, 0x79c2826d, 0xa01f0248,
+    0x00000000,
+    0xaa01c84b, 0x24b32693, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000023945242826029513411849172299223580994042798784118784 */
+  { 0x00000000,
+    0xe129f322, 0xe9f74753, 0xc87e033f, 0x455b285c, 0xf333adea, 0xdd846cc3, 0x8ed6f603, 0xaba37535,
+    0x9243264f, 0x8a349b2d, 0xc9aa7165, 0x5839cbe6, 0x44d3bd3a, 0x0d1ddd71, 0xa7949354, 0x862831e1,
+    0x0fbc4ffc, 0x6089b6e8, 0x8f05679c, 0x8633f982, 0xfda589d8, 0x4de5248a, 0x9e271ca1, 0x9c74d6a3,
+    0xdad9fef8, 0xd8a0a113, 0x69bcca6f, 0xffe7fc83, 0xf8bb8111, 0xcc35ce4b, 0xac27ec59, 0xe9ead5ed,
+    0xbb9da95f, 0xe2bb8b30, 0x0a71adf9, 0x2d628987, 0x3cf16815, 0xeeedfd51, 0x7d8e2358, 0x6dc13f18,
+    0x2ff68663, 0x91d7cdde, 0x97429dd2, 0x4e4adab4, 0x5c07b775, 0x1e7e1634, 0xcc83dd82, 0xb8b1e68f,
+    0x822d4d6a, 0x8e0ee8be, 0xb870d0d2, 0xa64cb1c5, 0xb14233d2, 0xea5fcb0d, 0x2d741b7f, 0xb5f79a77,
+    0xb0562af7, 0xd46fdf09, 0x8220fc51, 0x37658c11, 0xdf73385d, 0x11ded5da, 0x5d82fb82, 0x2336d822,
+    0x0086a49a, 0xd8bd29dd, 0x4b0c42e2, 0xf8601e32, 0x8b27fc89, 0x5898405d, 0x9f143961, 0x5a6d1d4f,
+    0x7ed8e425, 0xf00b0caf, 0x8699e100, 0x4c18993c, 0x27cfee5e, 0xb2ba03bf, 0xafcf7e25, 0xc13ee0f4,
+    0x38072161, 0xad1607b4, 0x2a5f1a2b, 0x984eb002, 0xbb7b42de, 0x086141f3, 0x708fbf3a, 0xe21f25ea,
+    0x20c42253, 0x85ed4452, 0xe5e26375, 0xca99c21b, 0x39246207, 0x7fa11259, 0x169f9055, 0xa627d436,
+    0x179957e9, 0xd51e2d40, 0x4ded1954, 0x1f3f8924, 0xe5a937d4, 0x5fbd5f58, 0xdc0d468b, 0xb3560ec8,
+    0xb3aed800, 0xbfddd93a, 0x3b4277ce, 0xd9164a4d, 0x2975e007, 0x523af180, 0xe897bbeb, 0x8547fdbd,
+    0x87a9b47e, 0x7892b669, 0x06e276d3, 0x99d9387d, 0xdd030eaa, 0x92155853, 0x5cbd3201, 0x2a8a3f75,
+    0xe0afacee, 0xb7e5dc00, 0x42471ef9, 0x2a251712, 0xfd55f544, 0x1e324e5b, 0xc5410dcd, 0x6a87bed6,
+    0x5768b1cf, 0xf048a344, 0x43f97f69, 0xb9c69c99, 0xefc34039, 0x966497ad, 0xc38b3f79, 0x14420090,
+    0x8a099702, 0x88726ba8, 0xd9fb0f6d, 0x1e2c4048, 0xccf2d19f, 0xbe854da0, 0xa7ca8cd2, 0x3684ef44,
+    0xa65f9523, 0x738fda4e, 0x870db022, 0x35ab79c9, 0x90b5f98b, 0x61495f58, 0x1ee28c1c, 0x522f3289,
+    0x5373a6d2, 0x2abb2f84, 0xd33c1842, 0xcb5bd601, 0x9eca463b, 0x560c3b04, 0x9008365c, 0x86d6c10d,
+    0x989a294f, 0xd198d939, 0x383b2365, 0xbd9a1e5f, 0x9c7da95b, 0x64171540, 0x467c863e, 0xc741e181,
+    0x67702a13, 0x331d0ebb, 0xd374e8c6, 0xb1241222, 0x5791bf74, 0x309a16f0, 0x42b35709, 0x0a649641,
+    0x3e6dc6c1, 0x02107831, 0x91e329a6, 0x47c50e23, 0xc6a8eb4f, 0xe469d7b2, 0xbf48b680, 0xac74ea71,
+    0xc2aee9fe, 0x685ed3f4, 0x918b16dc, 0xb4cde46d, 0x0d09413f, 0x3305b0d0, 0x1a16c8d8, 0x489e4c02,
+    0xfa78739a, 0x1bb0a275, 0x69347401, 0x854a62f5, 0x5f04cd0f, 0xb2fc4834, 0x19d6bcca, 0xee282fd7,
+    0x14ae077b, 0x0fb37a2a, 0x39cca90b, 0xa3308831, 0xff2a7ca9, 0xb5df22bc, 0x0f14111d, 0x8596bfe2,
+    0x22995da3, 0x1d46f101, 0x2547f1c7, 0xe424c5d5, 0xbf2ab379, 0x75a64fcf, 0x4abfc58a, 0x31f70752,
+    0x12a5a7f0, 0x019b5cf7, 0x46f1c95a, 0x3e4a06b7, 0x8d673e1e, 0xd2e3d851, 0x20054747, 0xb5446cd4,
+    0x6f913a55, 0x2902fc54, 0x682fa9cb, 0xa06f0dec, 0x4450c61e, 0x79b2562b, 0x9d40fe72, 0x54c3a068,
+    0x3644b7d5, 0xfc2a7d8a, 0xd0b651e1, 0xfde9efcc, 0x3523c3bb, 0xcbd98071, 0xba0e8b1a, 0x257ba7c3,
+    0x8f644bce, 0x23721b1a, 0x3a2bc858, 0x6c69d149, 0x4664167f, 0x33003588, 0x47dcf090, 0x26a9d95e,
+    0x69d22f3d, 0xb8acbce4, 0x95ad764a, 0xda25fa29, 0x37732fb1, 0x130f044c, 0xbfc5dd23, 0xd928153e,
+    0x1e8ebdd6, 0x73e0dfd4, 0x68da0630, 0x546d44e1, 0x8cab0037, 0xd98acab3, 0x017952c0, 0x19e72ac1,
+    0xe27fc14a, 0x713c8544, 0x48cc497b, 0xb4e79be2, 0x692f6e50, 0x2d531740, 0x8c2859ed, 0x7fe35847,
+    0xe02fe292, 0xc84d62d9, 0x93b922a0, 0x5ae8e4e9, 0x931be069, 0x6eee0746, 0xe32a56bb, 0xfcfc4a58,
+    0x5c91d7cb, 0x8e7ce95e, 0x5a2e1e25, 0x551662e0, 0xcae242d6, 0xd8276304, 0x7858bafd, 0x2fecb765,
+    0x9a3f46bb, 0x4ada62c1, 0x5c17c0c7, 0x221cda8a, 0x850f21f5, 0xb5bc6867, 0x80540b17, 0x415e680b,
+    0x12c2f2c3, 0x1a9c0627, 0x00020247, 0x4664b06f, 0xeac1b2e6, 0xef983fbb, 0x5cc63c7b, 0x18453b87,
+    0xa871be94, 0x6588e694, 0xa5ca98e6, 0xe768f4da, 0xd582e11f, 0x0c4e65b4, 0xf754b357, 0x17eee6d2,
+    0xee33ca6c, 0xe4cfd1a3, 0x2867b936, 0xc897dc9e, 0xf44b265b, 0x587aae26, 0x68fba2f0, 0xb81a3c30,
+    0x00832f72, 0xad8369a8, 0x09277fbf, 0xfe695514, 0x3236f8c6, 0xbd6f16fb, 0xd6b87b76, 0x30eb82fb,
+    0xab1422c6, 0x36db5564, 0xc283a89c, 0x0ed2f876, 0xfd077152, 0xae528643, 0x32948846, 0x7d6b662f,
+    0xeb100419, 0xb8908a4b, 0x7f433b32, 0x7c370973, 0xec9f8f89, 0xc3a5e425, 0x11f4f29d, 0x6324be98,
+    0x8884d92a, 0xf002e6a2, 0x2a2d8bad, 0x7b3cc52d, 0x9ac7bdbb, 0x4855f82a, 0xb8b9acf5, 0x27a71b25,
+    0x4ccbc1d2, 0x0399231a, 0xa3fb101e, 0x5fcdb9af, 0x235a9003, 0xc271845d, 0x4736bb6e, 0x34e15d3f,
+    0x25b75922, 0x3a1248d6, 0x8b7f50cc, 0x4dc1dab0, 0x71928820, 0x8206d56b, 0x85dfb3f3, 0xb9e0407f,
+    0xf81a7ab5, 0xbe2b9e65, 0x36ef7e90, 0x9aa19249, 0x7f602f21, 0xea56a579, 0xe6533376, 0x7f4b597c,
+    0xa0f39415, 0x6e955f41, 0xfdcd2bbe, 0x7f73d7ee, 0x17e38b86, 0x1122f79e, 0xee7a3d47, 0xa986588e,
+    0xfc40b44e, 0x71a7a9f6, 0x28780794, 0xa674eb10, 0x1195af27, 0x1d519c21, 0x5ed2612f, 0x357de603,
+    0x0c3978d9, 0x819293f8, 0xc0054768, 0xfd837927, 0xe7d45823, 0xeb910ca2, 0x85b96979, 0x82fcbb60,
+    0xbe8156eb, 0x393865da, 0x14285c8c, 0x93408bca, 0xc14b8480, 0x951b845f, 0xc810618c, 0x9d19a77d,
+    0xa3a20538, 0xff692a88, 0x37999b27, 0x123a1b5a, 0x20d7e692, 0x67370c5c, 0xaa442cfe, 0xb950bb9f,
+    0x19de2711, 0x45f78568, 0xb4db803a, 0xb42527f3, 0x21616878, 0x3a976dee, 0x14158f86, 0xd9892d6b,
+    0x81f4f90d, 0x53cbd8bc, 0xec1f34d2, 0xae09f17f, 0x37d09d1c, 0x45dfa422, 0xe4cc9fb5, 0x5c4f7a92,
+    0x1799858e, 0xb4cf98cc, 0xb0a843ad, 0x6664fd96, 0x69c039d1, 0xda8c6f6c, 0xeea57f95, 0x51d56696,
+    0xc30354a1, 0xbb236bb9, 0xe9cf7461, 0x9fe10bb2, 0x618ab6bf, 0x8eb6f7f0, 0xbe1f85ee, 0xa5ccaa6c,
+    0xfac7bd28, 0x809587a9, 0xf00971fa, 0xe9ab2bbf, 0xc0f261cd, 0x31b437cd, 0xf151c4dc, 0xf102466f,
+    0xdecca7bf, 0xc13d19a3, 0xbd75f458, 0x4e855c56, 0xa64a2686, 0xf32d3d43, 0xc2e660d7, 0x9a75b8a4,
+    0x86d2ed33, 0x2dde9926, 0x22f8f2de, 0xd331a4aa, 0x965e6b8c, 0x3740a6e3, 0x150b890d, 0x4a9b8e0c,
+    0xca8788da, 0x011910c0, 0x7821c529, 0xeea7b291, 0x4edb9ffa, 0xbb51c2fc, 0x15598ce0, 0xdf538b93,
+    0xb6e21ebb, 0x0208adbc, 0xa6251b9e, 0xb8f157dc, 0x2dc152b8, 0xda35bd04, 0xdc30f672, 0x3a6c4437,
+    0x7dffe025, 0xe65f0e10, 0xf4cff093, 0xca3cac04, 0xf5b1c7cf, 0x70efae08, 0x7f1ce0a8, 0x153c99d5,
+    0x1ddeb57d, 0xf3e3a6cf, 0xc40bfa3f, 0x878fc619, 0xadf5a44e, 0x409a385c, 0xcd0151ee, 0x673a6474,
+    0xea54146e, 0x004694bb, 0xa971b626, 0xdaefda7b, 0xd2dd64b9, 0xb0beaaf0, 0x713a7ef1, 0x6912fc1c,
+    0x55e0e419, 0xc9c52dbd, 0x777e3170, 0xd2f5f42b, 0x40a33261, 0x039b75fd, 0x4669f059, 0x989f8bf5,
+    0x48c09c54, 0x6a1505a6, 0xdb910df6, 0x7796f5c8, 0xe14e68b8, 0xc757aa8c, 0xa874677d, 0x9ee93943,
+    0xfd1bdfa1, 0x0d86732f, 0x8d78b724, 0x3f1aef05, 0xb0eeaf9e, 0xe80eee81, 0x29babc1d, 0x7c9b9974,
+    0x1f1cb030, 0x5343ccb6, 0x8dcc39e8, 0xfd137361, 0x0f7f0632, 0x4485499e, 0x91649679, 0xec5c517a,
+    0x012eb45c, 0x293de3a3, 0x7e76ea6b, 0x857f916b, 0xe0916ffa, 0x46e8bf6b, 0xae8dbc64, 0x06f3d6ce,
+    0x4e3df1a9, 0x0800579d, 0x9a4a91fb, 0x395d0365, 0x318599e7, 0x68d55239, 0x6c7f4d5b, 0x97ac35b3,
+    0x1f6a8852, 0x6dbfe8c1, 0x21b25733, 0xcae6c341, 0x55466967, 0x4ffb7c98, 0xc034a128, 0xe49b6bfe,
+    0x2b4c7316, 0x6ec56829, 0xf093846b, 0x44ae8652, 0xa6a0ff96, 0xb07cc03a, 0xfb25ba58, 0x5f16d973,
+    0x4a2f0bdc, 0x4b2ae177, 0xad0c3d73, 0xd4ebcdde, 0x012d4079, 0xe3cfe5c8, 0x8768fc05, 0x65859b50,
+    0x41fe4fd6, 0xe791a85c, 0xd1a049c8, 0xa065c6a2, 0x0b19d44c, 0xf3d273fd, 0x64f0114d, 0x2a10c8a4,
+    0xa4b97010, 0x48ede6a6, 0x4978d1f7, 0xf8ac22bf, 0x69952c70, 0x21ae8803, 0xfb4e97f7, 0x767632e6,
+    0x6a071bed, 0x6509de78, 0x2060aa2b, 0xc0057aca, 0x4690a8fb, 0xacff4898, 0x16b2f3f4, 0x2f4596a7,
+    0xbcec6eae, 0xef96a70f, 0x0bd3f3ee, 0x931951d6, 0xbdfc9c75, 0xaac2d9a6, 0xda26c7ba, 0xe9551da4,
+    0xf8592c11, 0xf9eaa64e, 0xd7bf74ca, 0x69bc2d4c, 0xf9553531, 0xaa8f7ef3, 0x4729287d, 0x99069022,
+    0x06ff826c, 0xb53a0495, 0xecf9256b, 0xabdbd5c1, 0x3d05b8e8, 0xe58f109a, 0x4545a653, 0x99ffbb12,
+    0x56a277e2, 0xa9628e06, 0xeccb5be5, 0xe0d9b87f, 0x550cf7be, 0xa9db59cc, 0xb8cb0480, 0xbe3b170c,
+    0x3dcb69cd, 0x88d832da, 0x5d1af53d, 0x481bca31, 0x0632edf8, 0x64a4a705, 0x4c25ac94, 0x1b18bac2,
+    0x4244e7b9, 0x55665bb6, 0xeae346e4, 0xd495c374, 0x0af00232, 0x5401f4e2, 0xaabacfa3, 0x9a009400,
+    0xd6a37077, 0x7ff35005, 0xde34cffe, 0x8c17cf38, 0x340ca49e, 0xb74c6c85, 0x26b858fe, 0x04fe1e9c,
+    0x814f40c0, 0xcd1f4cbc, 0x214f02ac, 0xf860c747, 0xf878a8fc, 0x0f9f5155, 0x727ede80, 0xc5817ceb,
+    0xcd18d3d9, 0xfad0cf1a, 0x5431bda1, 0x00db02fa, 0xff93c8bd, 0xbe15e793, 0x4e81ea24, 0x027436e8,
+    0xd1c7d075, 0xcba424a0, 0xe12409a5, 0xa71c6d51, 0xb24e1609, 0x9a176e72, 0xa9f046ca, 0xb21d4bc9,
+    0x56680698, 0xf93c7ced, 0xb74518d5, 0xdb7cd3f9, 0x486b3fbc, 0xd1c55f34, 0x4ac24644, 0x888ec74d,
+    0xc40b2094, 0x42abab80, 0xf1347862, 0x19a61d79, 0xa38c565d, 0x34ada129, 0x679e3549, 0xd63ea05c,
+    0x00af560c, 0x438ebf6b, 0x084315fc, 0xa62dd4e8, 0x98a15e0d, 0x765491db, 0xac086eb9, 0x3e168747,
+    0x52c972e5, 0xf6df684b, 0x694e2cc3, 0x15cb4da2, 0xb471b6d3, 0x5abb26ce, 0xcdc1e49f, 0xc4211491,
+    0x91909f38, 0xac1fd86d, 0x6cbc1ab3, 0xc84a3f4b, 0xce1d7bbb, 0x74010668, 0xf125ef23, 0x62da0f5d,
+    0xbca23d29, 0x8b74cc88, 0xca16c686, 0xedb09fd0, 0xb469e708, 0xdcf2082a, 0xb303a048, 0x61c06813,
+    0x6e106eb1, 0xc5f161c4, 0x2beb9347, 0xe76d393b, 0x980b4e79, 0x87400f29, 0xc9570800, 0xdbd3a27e,
+    0x5b4899a2, 0xa3eb39a5, 0x6388807f, 0x47491607, 0xbf950619, 0x742e789b, 0xf0e75bd9, 0x0bb1cc87,
+    0x9dd31fcf, 0x849f4472, 0x927f3362, 0x0963963b, 0x3aceaca0, 0xa66b97dc, 0x934f596c, 0xfa35816c,
+    0xe3e20c0f, 0x6760d9a1, 0x381a461a, 0x3ce7e9ca, 0x64d64314, 0x41753932, 0x326a6791, 0xe9b80df8,
+    0x5ec3bddf, 0xe20e5de0, 0x651b13b0, 0x8ad73363, 0x069fb8f3, 0x58f57d78, 0x307600e2, 0xf462e8c7,
+    0x0f6842d2, 0x2a005ed6, 0xad91eab1, 0xdce42a36, 0xdf59edd3, 0xb3c94633, 0xedaff929, 0xff88ec68,
+    0x145d81cf, 0x9c6dedc1, 0xcfb59fee, 0xd776aaff, 0x3f108435, 0x05060c56, 0xc82b842b, 0x01167073,
+    0x1d617ebf, 0x02914d90, 0x067f6802, 0x121d23d7, 0xc880f4d0, 0x24af2b84, 0x29b831e3, 0x1e3c0640,
+    0x1fdf222d, 0xcf726f02, 0x247dee88, 0x77a789e6, 0x8a92a6fc, 0xc274f1e5, 0x04a254b8, 0x6c6f3491,
+    0xe1ce2afa, 0xf4305985, 0x819c7152, 0xfae39b65, 0x0fe9bbe9, 0x17edbe3f, 0x7d7a179c, 0x3e1767ea,
+    0x50e0ea13, 0x7edfa2e1, 0x9367e490, 0xbd6c9fe9, 0x012d7b97, 0xbb13e2c6, 0x9cf9cec7, 0x4d55c823,
+    0xfdb928ab, 0x5e1048dd, 0x1354be89, 0xf2810ae7, 0xa862c0dc, 0x305355bc, 0x0ced616e, 0xb06d7167,
+    0x9be73b3a, 0x27c307b6, 0x3206df63, 0x66c4a6b6, 0x0ae36083, 0x1bd9b89b, 0xb47b520e, 0x77639f8c,
+    0xf233785e, 0xe277dbad, 0x775f1463, 0x9a0cb9be, 0x37e8523f, 0x70477518, 0x33a33218, 0x294e8a1b,
+    0x427d0374, 0x7719d419, 0xb1fbdde2, 0x9fcdbaab, 0xd49d1b61, 0xcb1a89e2, 0x903a08db, 0xc22e1576,
+    0xfef68862, 0x819a6def, 0xc6d6b620, 0xcd5bb2ef, 0x661a823b, 0x1a7552e7, 0x157ee295, 0x5ed5c899,
+    0x3f44f6dd, 0x745aec36, 0xf6411af5, 0x6ffc6f22, 0xa7f63c6f, 0xbf54dfc5, 0x25aba452, 0x4ea5fbd5,
+    0xc2841b98, 0xfdcf248e, 0x34b88ab9, 0x998d635a, 0x02469786, 0x3c89da4d, 0x844172da, 0xfeb21358,
+    0xf8989890, 0x67b9e829, 0xfdebfa14, 0x164abc3c, 0x551f2b27, 0xd02b15e7, 0x900860c7, 0x83c392ec,
+    0xc3815aa3, 0xe87bae8b, 0x09853dcb, 0xb77a21ea, 0x745512fb, 0x7795a989, 0x4c700d3a, 0x978f4122,
+    0xc160a21d, 0xc1f8b652, 0x04a818e0, 0xb7af9e30, 0x7bb8d56e, 0x9d12aa27, 0xa355b31b, 0xc6c01277,
+    0x430a7ade, 0x792f8d1d, 0x3459ddde, 0x3d69ea46, 0xf717d9eb, 0x5e7e0868, 0xf1b4f002, 0xee58d94a,
+    0x2107dfe4, 0xac6f9565, 0x497bca32, 0xd8c86ccb, 0x22a8b23f, 0x098571ff, 0x609971d6, 0xf22a7e6f,
+    0x791bbb33, 0xf58dff1b, 0xff14b8c1, 0xc38637cd, 0x89de80e5, 0x05855c0e, 0x9a2fc962, 0x23618860,
+    0x2c4291cc, 0xaf9acfc5, 0x7f0e78f2, 0xdb09754f, 0x30afabb8, 0x935e2804, 0x682d3739, 0xe2dbb292,
+    0x86badba4, 0xb8160c24, 0xb68b88f0, 0xc57c27d8, 0x9ccc787d, 0xa07aafc3, 0x0c702050, 0x0ded01a8,
+    0x5a7ad44f, 0xe6d418ef, 0x7c634587, 0xd1a0c50e, 0x9857dd34, 0xc5c8fb58, 0x6e0c07c6, 0xe7a9ae7b,
+    0x79a935e3, 0x64968b56, 0xc811da3d, 0xd02efd9c, 0x4bcf9078, 0x1d896e5c, 0xd49a4e9d, 0x5bf30bc7,
+    0x218c3fd7, 0xee526acc, 0x468cec30, 0x9fbbf0da, 0x08f92fd5, 0x0f22975a, 0xb8be3716, 0x05de0d1d,
+    0x29ce0837, 0x72d384f8, 0x17f67b5c, 0xad3afd14, 0x3befe03f, 0xe6d2561b, 0x859811ce, 0x3ec53c1d,
+    0x37dd41f4, 0xf55e35b0, 0xd079382a, 0xac4f14b5, 0x18a51032, 0x8a32f897, 0xc82a4c04, 0x6ce41387,
+    0x7fb5db31, 0xbbeb3edb, 0x98885c9f, 0xeef5551a, 0x150910fe, 0xeeda5bd3, 0x72cf841a, 0x801f0fc9,
+    0x0a6f164f, 0x45a257d2, 0x3442616a, 0xd6d1c37c, 0xe335f7d7, 0xed44c064, 0xf13093ee, 0x5bb4cf8e,
+    0xd8037ee1, 0x165eb8c9, 0x5ebb570c, 0xf41af13f, 0xb9028c71, 0xe7be42d3, 0x7cc26608, 0x8f299a4c,
+    0x00000000,
+    0xd500e425, 0x12599349, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000011972621413014756705924586149611790497021399392059392 */
+  { 0x00000000,
+    0x32929f89, 0x71d57ec4, 0x169a79fd, 0xbab10a71, 0xf8f038e0, 0xa7430b79, 0x82323dc0, 0x2d484bcd,
+    0x41029895, 0x8ae2b96d, 0x7a770311, 0xd3767b0c, 0x03add9fe, 0x678ec068, 0xde248198, 0x82379a68,
+    0x1f4548be, 0x88bdfe48, 0x37ffc3bc, 0x903ecc97, 0xe8b304e5, 0x0c235e52, 0x46e509fd, 0x56481f2f,
+    0x27277d55, 0xc7ec1d1f, 0x77ef5a2e, 0xd2b9f3bb, 0xd3891960, 0x209d2118, 0x1ca8c9cd, 0x7e226611,
+    0x2c7f33da, 0x3a6e215d, 0x3cb73eb7, 0x64106b76, 0xefad34fe, 0x7a552732, 0x315a1561, 0xbf5fca56,
+    0x5dbc7b79, 0xa5cb69e7, 0x248aede1, 0x227a5e6e, 0x19525871, 0xb711273a, 0x32c1fc93, 0xf8e72f4e,
+    0xe9b1fa02, 0x8a867fd7, 0xc134c452, 0xe3554077, 0x8712dc2e, 0x296b2622, 0x3a545fb6, 0x35cd060d,
+    0xb7fef162, 0x1385903a, 0x29aa82ac, 0xfc5f99d1, 0x4194d321, 0x846c09fa, 0x2459d6ac, 0x89f45fb9,
+    0x41e03e33, 0x8db8736b, 0x45f3ce58, 0x0581b3e4, 0x99555ba5, 0x6727357e, 0x02a1b4d4, 0x8027d4d3,
+    0x628a2c7c, 0xa5ee47a9, 0x560eb618, 0x863bcac0, 0xc43ccf7d, 0x6563b026, 0xba7dbecf, 0x1f925c9b,
+    0xf8b98305, 0x6ceb3696, 0xf28e89b8, 0x0f3301d7, 0x1d5b8533, 0x2d22aeb6, 0x87ab20fb, 0xa2ef18db,
+    0x36a63bda, 0xb9973503, 0x7c2ac3e7, 0x12d86493, 0x526ecb41, 0x230c7635, 0x0588d845, 0xc65b3a87,
+    0x462ac0e1, 0x68de33a3, 0xb90f682e, 0xb5da37e8, 0x8d56132b, 0x90366813, 0x22ac1f64, 0x11923046,
+    0xf0910db6, 0x09081ce8, 0x300a3962, 0xb9ba7880, 0x0ede6eff, 0x4a093f51, 0x0504f7f8, 0x5a6a4cc6,
+    0x83757eab, 0x533a5fe4, 0x2ce36e1f, 0xdbc6901a, 0x650b9d66, 0x2f82ddba, 0xa342a16b, 0xdf94127d,
+    0x66cafd23, 0x8bec02b8, 0x2224e9e2, 0x80c5e743, 0x2ca3a531, 0x36d87384, 0x34e50abc, 0x4694239a,
+    0x44b39af0, 0x6c97a08f, 0x9874e084, 0x5e483242, 0xd3eac2cc, 0x84ebe859, 0x22db1a9f, 0xd0613799,
+    0x7a818df3, 0xcbba0fd2, 0xdf39c3f8, 0xe5c17c5b, 0x0a6a1e7d, 0xeec6275a, 0x6eb70370, 0x1685ceb3,
+    0x163a253f, 0x41908370, 0xffaa6298, 0x8e3a5bd9, 0x41e5983f, 0xbb6d2b9d, 0x9832cc3d, 0x16afeaa1,
+    0x85cb9d99, 0x5338e3e4, 0xed392543, 0xc9716ac3, 0xa26f5a7b, 0x25169ec9, 0x93d42400, 0x094c1cf2,
+    0x3f4cd867, 0xf6eb134c, 0xb9a87940, 0xd44f1cff, 0x5913f10a, 0xa6d06bfd, 0x6775dcb3, 0x2f20e4cd,
+    0x0dead64c, 0xb59b0c2b, 0x17413f56, 0x014a1671, 0x2a475ada, 0x819a89c1, 0xfcd52b2a, 0x73b9f1af,
+    0x351c3ab8, 0xaf96a8da, 0xfc80a0e7, 0xd9f32db1, 0x3b17e8cb, 0xd1fbb5c8, 0x9fdbf4e6, 0x138d1455,
+    0xef3f2aac, 0xf6013d5f, 0xe5fca6d9, 0x23f5380e, 0xc4b8b222, 0xc091f44d, 0xf0d70f7b, 0x9d622450,
+    0x78465f04, 0x59779d09, 0xb45eab59, 0x66e5eab4, 0x57f78134, 0xefee9049, 0x655c06d6, 0xec1b02ef,
+    0x8c4284fe, 0x832d5ae4, 0xf44d7973, 0x48dbfcc1, 0x9e007173, 0xea14a8da, 0xa4395add, 0x02f52858,
+    0x58e349cf, 0x8d4af684, 0xd2d7ffc1, 0x29a95aa0, 0xfe229f06, 0x3149beff, 0x68397770, 0x43528483,
+    0xeac90731, 0x8be67d64, 0x8184d6ab, 0x080fca6d, 0x79175c67, 0x4f9e8049, 0x1d810296, 0x7680153f,
+    0xfd5db908, 0x419262c2, 0x2f6c332b, 0x650c1b4d, 0xee6f69bb, 0x4a6759e1, 0xe75e0bd2, 0x40ef054c,
+    0x5e0cdbcf, 0x1ef8489f, 0x9fa17c6c, 0x3709569d, 0xf27a00b5, 0xc90a7d80, 0x25e6f776, 0x39db408a,
+    0x35d3bfc0, 0xe86109c1, 0x42a2e5df, 0xcf22177a, 0x31730db6, 0x4ad98a85, 0xdc417ea9, 0xa53be510,
+    0x280aa21f, 0x65f133b1, 0xd12f7baa, 0x2d71cca4, 0xae3fce53, 0x6b13142a, 0x349a907d, 0xc209c477,
+    0x3b43ad8d, 0x55f27d2b, 0xbd80bc56, 0xfc08182d, 0x4eab78e1, 0xa65ca36c, 0xe22b2236, 0x735509c2,
+    0x38b3228d, 0x96bd9088, 0x4f5dd6a2, 0xdb5dac48, 0xc2f0a9e9, 0x1dbae4bc, 0xcc8742f1, 0x19653a9b,
+    0xc7897ba7, 0x268f5cdc, 0xdb13ddfa, 0x005c737f, 0x8a94a030, 0xa1c2061a, 0x9c16a85d, 0xe4174eb0,
+    0x4ad6a54d, 0x9cf4b5eb, 0x3c6e2e13, 0x6d6c1ff1, 0x002d9308, 0xaff1d569, 0x9c5e2eb4, 0x7cac1a2d,
+    0xa06cb355, 0x837bc207, 0x4f2ef82f, 0x24e5294b, 0xfc680af9, 0x3ad35ea1, 0x8ed064d4, 0x1ee09da5,
+    0xbbbcb6be, 0xfc50a3a3, 0x4e380332, 0xada7894b, 0xdd280ae6, 0xa4a6ada6, 0xcb770743, 0x4e9a029f,
+    0xcb3c64d5, 0xa4df9ea9, 0x3515ef84, 0xd7c52167, 0xd84e0fe9, 0x66281660, 0xc0b38780, 0x2c2b85be,
+    0xd543adf4, 0xcfaabe33, 0xa9a7f5b1, 0xf78ce131, 0x04aae048, 0x0bd8fafc, 0x0cf8e141, 0xf7c6e40c,
+    0xc233b892, 0xd673758a, 0x4817959e, 0x66e64128, 0x35d31463, 0x77d42677, 0xdd80744b, 0x2f1300be,
+    0x013e6986, 0x12c2ed93, 0xcf1acd70, 0x22025728, 0xb4d5ba0b, 0xf72665dc, 0x2d8031d4, 0x8eb4f0f0,
+    0x65540dea, 0x82fa1dc1, 0x28b30352, 0x11ced6ab, 0xa8f74e70, 0xb5da8723, 0x385be09a, 0x8f5a9798,
+    0xf008d22c, 0x2acd1f47, 0xe1c3c3e2, 0x2b73908b, 0x0555bb63, 0xafefb367, 0xe860c333, 0x6ac358a1,
+    0x6aa2d157, 0xc61b1d70, 0x0c4697a4, 0xc7a0fe20, 0x163f6acf, 0x406f1e72, 0x4a128c40, 0xe73cebe9,
+    0xec15cc5f, 0xd18bdb23, 0xe7dde3f3, 0x0fc34092, 0x96cf9c6d, 0x53ac2c69, 0xae752a80, 0x6184c27c,
+    0xa939cd0a, 0x47d6f77a, 0x2356bb61, 0x2484c7da, 0xb69218af, 0x46ca10d0, 0x1080d5a4, 0x38585638,
+    0x2cabcccb, 0x900eacce, 0xbb0e118c, 0x33a1f215, 0x3a2601a3, 0xa4638e64, 0x73956918, 0xb8df2e61,
+    0xadaa1fd8, 0x688305e1, 0xf51c9595, 0xa7c953eb, 0xb17a7856, 0x4eb5e295, 0x47d24c62, 0x9f1c9bcb,
+    0xdc9f8ff2, 0xd144b368, 0x30f8f119, 0x74dde906, 0x2a3222a7, 0xf85c0408, 0xeaeec363, 0x1a2a7497,
+    0xf087ef73, 0xf61814d0, 0xcd33142f, 0xf1450384, 0x5c44054f, 0x47e38552, 0x52bb3665, 0x8629cbc0,
+    0x3f90e79c, 0xc4b7adfa, 0x47509f92, 0xe1949394, 0x3e956ba9, 0x5686c32a, 0xff3fa2a8, 0xfd61dd27,
+    0xcb4bd265, 0x766a1be3, 0x75290ee1, 0x87e4a637, 0x80fdd2b9, 0x06bf1530, 0x356ca6ac, 0xdd374cf2,
+    0x976022c7, 0x340af1f9, 0xaeb7ff5b, 0xa36f25b2, 0xfb012fe1, 0xd2be84f3, 0x870266f9, 0x109d2d83,
+    0x5f27c968, 0xf01ba125, 0xf91c9308, 0x27f2d3de, 0x3ce5c637, 0xb49b93e0, 0xb9bbcbb3, 0x740ca675,
+    0x4689cf21, 0x9a05a7fa, 0x49aced21, 0x9aa81698, 0x4d01d414, 0x0092938b, 0x615b4bac, 0x60e0f767,
+    0x2a17cdb0, 0x002012dc, 0x3ac07259, 0xd452506d, 0xa96cd488, 0x767c233e, 0xbc9ac406, 0x7b0104e4,
+    0xce0bfc78, 0x98cd1084, 0xc6abc955, 0x4c486df7, 0xcf5310b7, 0xa65830c4, 0xba398acc, 0xe07bf2b8,
+    0xc750adef, 0x54316d1e, 0x09535c93, 0xd90bf721, 0x8182d41a, 0xd0ec267c, 0x6328a8b6, 0xbc60b910,
+    0x397ca177, 0x59d1279d, 0x691548c2, 0xcf4e08d2, 0xf2cb3f1d, 0x16638e9f, 0x9eead91f, 0xf30a1d24,
+    0xead7dc85, 0xe5656700, 0x82a825f7, 0xa0de9054, 0x17633f48, 0x2ddae7dd, 0xcc934e8f, 0x8edb741f,
+    0x5b5679a2, 0xcb8ac4e0, 0xbdac4c15, 0x96e8ee2e, 0x0cf01da3, 0x4e84f8a3, 0xde8eb88b, 0x8eea4cdf,
+    0xe9068154, 0xbda358e0, 0xfb15edfa, 0xe167830f, 0xe64164af, 0x97deba44, 0x627735e3, 0x7267117f,
+    0xa9c75047, 0xc4d51b5e, 0x4426e2d5, 0x0be4a050, 0x3fecc70f, 0xebd27a93, 0x305996af, 0x5b37f335,
+    0xff522170, 0x6ae29233, 0xbe2ebd52, 0x2931ef31, 0xb9433724, 0xd1e4874b, 0x9035234b, 0x8dfe5912,
+    0x9bbf28db, 0x1114427a, 0x506b62ed, 0x5fd3dfc1, 0xe8bf0e6e, 0xabafba58, 0xdf2a8ab2, 0xbb8a1793,
+    0x7593151f, 0xae4526f5, 0x8772f8f1, 0xda76305e, 0x53e5f129, 0xfe789619, 0x6f4d11f0, 0xb4bd623e,
+    0x13cdce3d, 0x844d2e3f, 0xabfabb6e, 0x31898dbd, 0x2b3297cc, 0xa40214ea, 0x6a9bae92, 0x1d13591c,
+    0x2c676333, 0xd3c6cfc0, 0x92f114fe, 0xcdf71fc8, 0x0756d4a4, 0x3044786c, 0xb9ba6461, 0x2228fa1b,
+    0x7a92871d, 0x34c28bf9, 0x3c0c3b7b, 0x967968ac, 0x54c6eb38, 0x60bde925, 0x9b505cc1, 0x69d3307d,
+    0x91ccbfb2, 0x35410b61, 0xfc5588b3, 0x930a2008, 0x22769f0a, 0x3b12867e, 0xe545d68d, 0xbef7b7a3,
+    0xb1bebcd8, 0x124f72b1, 0x8f009103, 0x7215885b, 0x399cf3d9, 0x97cde2d1, 0x0b4da643, 0xaaff4a8a,
+    0x3b40578a, 0x671a2ed5, 0xf48a14f7, 0x0a3524fd, 0x7db9b665, 0xfacd26fb, 0x30118514, 0x5fd4a4ed,
+    0x04e4fb37, 0xe7436788, 0x8fca2304, 0x129c3869, 0xed919a68, 0xfebc4c6a, 0x1da45751, 0x7ebdf511,
+    0x2bfb8076, 0xac7ce8a5, 0x00dc1733, 0xdff09d94, 0xe6288d0c, 0x7f1431d7, 0x9ee85d0f, 0x86770abf,
+    0x3df81934, 0x1ea1e9c8, 0xdcae22b0, 0xec8b28ab, 0x8ffe32c6, 0x488359fa, 0x578c96e1, 0xb8f7933f,
+    0xc3735268, 0x3936fab8, 0x1058d466, 0xab74ad8f, 0x6ad35dbc, 0xe52823f7, 0x10df324b, 0x2528aa6b,
+    0x5b139cc1, 0xb4441d12, 0x941f79f0, 0x9c280524, 0x432e66de, 0xac6ff942, 0x3dff11a2, 0x6e72aafb,
+    0x81c48e1c, 0x79f2bd08, 0xaf148a55, 0xc7edf20c, 0x0aca4e4a, 0x1ab56edd, 0x10f77409, 0x0fe5cd0a,
+    0xed241ded, 0x256e5b99, 0x2cd219ae, 0xbff098b2, 0x5826de88, 0x713d4057, 0x27ce65c6, 0x765312bf,
+    0x555ba646, 0x6a111cf9, 0x4092c225, 0xb4474fcf, 0xd68f7c0c, 0x3926ba13, 0x839b3c2c, 0x411abba7,
+    0x2607c320, 0x326521cd, 0x0a2d1b15, 0x555066d8, 0xfa2ceede, 0x36b5ad3a, 0xcbd8ed94, 0xc4fe2adb,
+    0x47bd0c5a, 0x77e19627, 0x09f8b385, 0x95dc8baa, 0x77022778, 0x68f5d517, 0x150b04c5, 0x1f9af7a5,
+    0x00496fb1, 0xc61c72c7, 0x12c9a12e, 0x2242178e, 0x91ccb233, 0x0601e780, 0x2e76d55a, 0x5c7fbabd,
+    0x9cf6c765, 0x5d40cf69, 0x90ff8323, 0x7919f327, 0x9085aecc, 0x7ea61210, 0x0b31aebb, 0x1aaa93fd,
+    0xd76cfdcc, 0xfc7c7564, 0xa36f9097, 0x7003edb0, 0xbf72ae73, 0x149df715, 0x4e2afab7, 0x06476ecd,
+    0xc348f613, 0x5b98fc4f, 0x7753a9bd, 0xd724c47e, 0x38f81ab6, 0xb213890a, 0x319064cb, 0xf567e1e3,
+    0x3ca9a46e, 0x0e754a1b, 0x769d4756, 0x54e2b297, 0xd72a733f, 0x9ce562d5, 0x66a6b683, 0x3b494335,
+    0x12d307c2, 0xf3196516, 0x08bc15d3, 0x976c5740, 0x7d3c7b3b, 0xa62c3dd2, 0xedf5ffff, 0x29a354af,
+    0xbc0dcd5d, 0x47a34c3c, 0xb760d0bb, 0xd41a579f, 0xc058b613, 0x48866285, 0xb2682e99, 0x331f49ee,
+    0x840ad8b6, 0x61124db1, 0xeddc4243, 0x1aad1df4, 0x33ece7d5, 0x8a2cb231, 0x012e7bc4, 0x31a57d71,
+    0xe8b476c9, 0x44e594d9, 0xc144961f, 0x0fad2eb4, 0xd643d032, 0x2dde9fcc, 0xeba6ff7a, 0x5cfae367,
+    0xa6b53f7d, 0x1b69cb9c, 0x8b3512c4, 0xe360c22c, 0x9c2fe2c0, 0x55bb2112, 0xccd871fd, 0x67c6449e,
+    0x337cc9c1, 0xbd45057d, 0x944f5f26, 0xd8bb9548, 0x322dc390, 0x17610533, 0x8cf3c39a, 0x1e554c38,
+    0x87a7af9e, 0x1330b4df, 0x5c6a6fea, 0x694779d6, 0xcf839402, 0x407c04f8, 0x81e542f3, 0xb7f51bf4,
+    0xd4f50e7a, 0xe2a4cbbe, 0xfc712eea, 0x0c79dd10, 0xeb70d1c5, 0xda824e2e, 0x0504323f, 0x3c9650ab,
+    0x36af52a2, 0x86dba67d, 0x589b8b48, 0xc3be7dac, 0x3ac2b73c, 0x434cbad8, 0x870636c4, 0x495df567,
+    0x557f5a86, 0xd5040a21, 0xf3f10209, 0x2bfbcef5, 0x3f66b09c, 0x7b56f8c4, 0x6d2f3efa, 0xa6deab22,
+    0x84e6b88d, 0xbe954b8d, 0x040b64f9, 0xfd0d4898, 0xe1ca4709, 0x9d9d5965, 0x42ba6a62, 0xd4d4be61,
+    0x23baef28, 0xe59e00d9, 0xc8415025, 0x3ad01086, 0xb7e2c9f1, 0x78c29f2e, 0x456a0ae4, 0x29877482,
+    0x783f1e9e, 0x4d352794, 0x1ba077e1, 0x24f029c8, 0xca500501, 0x737180df, 0x019984c7, 0x40a88cfe,
+    0xc91c4208, 0x97f30861, 0x59e64072, 0x99d879da, 0x1df52a40, 0x05325795, 0x771796ee, 0xb68cb50d,
+    0x81d693f6, 0xcb6c7fa2, 0x19acfcb4, 0x4f518b3c, 0x5ab63f5a, 0x10c62335, 0xc428c87f, 0xf594623e,
+    0x066bf369, 0x1643bf0a, 0x9b96a012, 0xfa3802a1, 0x87e4016c, 0x787744d2, 0x50bffd51, 0xbd9c960d,
+    0x92ee50bc, 0xe6011edd, 0x5bad57e4, 0x33d0c427, 0x780ac5a5, 0x33547505, 0x86939583, 0x0151641a,
+    0x450cf50d, 0xe1ba1988, 0x9b5c44f3, 0x0fa557a8, 0xe16d514c, 0x669d5a83, 0x992fc178, 0xfd7dd102,
+    0x816eb1d1, 0x4e8fae93, 0x27c4b95b, 0x19766d5d, 0x912d73b2, 0x4740b90d, 0x4e4dfb31, 0x426c6975,
+    0xc7fcf1da, 0x25e4b8bc, 0x6420441c, 0xe4a39258, 0x4c0c50e9, 0x4e79303d, 0xe25778b2, 0x3f4c8650,
+    0xb8396632, 0xf6e45ba8, 0xf846765a, 0x7c7f0ef7, 0xdad1fe2b, 0x5e9da310, 0x37c70545, 0xd1fc4bbe,
+    0x05d8a01a, 0xaa9252e5, 0x4f491116, 0x2bd0ca2b, 0x6fc1cf3c, 0x9ec881f2, 0xe68577c2, 0x544ac6f1,
+    0x46d7794a, 0x7243b6e8, 0x50e18044, 0x596592af, 0xf158af11, 0x85b28257, 0x2e38f327, 0xba2abf67,
+    0x37bde21f, 0xc5126933, 0x32f898ee, 0xaa727b2a, 0xacbf1b39, 0x3092e896, 0x2d8a2fdd, 0x8b22191f,
+    0xce84cae9, 0x5109899c, 0xf6e1e3cc, 0x069058f2, 0x92fb1e24, 0x35d8af74, 0x696b3a27, 0xa8a807ae,
+    0x23348219, 0x59545ce7, 0x0fa97aa7, 0xb934aa62, 0x0eea0ba5, 0x2bd05b5b, 0xff064baa, 0xec48eedb,
+    0x602d29da, 0x03c12c6c, 0x7f426850, 0xa96c74c6, 0xdaeb5082, 0x2e628c3e, 0x81db5a9b, 0x6605f2a7,
+    0x22f1813d, 0x3c7fa6cf, 0xd54898c9, 0x64bc9c82, 0xb6db6e79, 0x31909f38, 0x8223434e, 0xa9dde00c,
+    0xe618970a, 0x70af1a59, 0x3668b367, 0x0fe06116, 0x8089bd4b, 0x345a1b76, 0x44b15078, 0x5b9d2e4b,
+    0xe60ad1ed, 0xce9d6b4c, 0xe56c1dc9, 0xd8cd8057, 0x72b8d3e3, 0x4f1471c6, 0x3eb40e75, 0x04a4ffef,
+    0x1b1764ca, 0x8ceb997f, 0xfb857cb9, 0x2281a08e, 0xc688bdaf, 0x24289d4c, 0x3acc94d0, 0x450572bf,
+    0x793306b9, 0x075958c1, 0x600ecb1c, 0x54d48b58, 0x853b9fb2, 0x5fb933b1, 0x218fbc17, 0xcde0fcdd,
+    0x0955236e, 0x72b84c9a, 0x74974898, 0xa7e90f04, 0x265b9513, 0x23dfabfd, 0xffa06070, 0x481e3c3d,
+    0x00d7b9c4, 0x827b566b, 0xa1e90886, 0x4b536535, 0x93404d4e, 0xa3103753, 0x143c7206, 0xb32b9fd1,
+    0x16e4254f, 0xd7511bdb, 0x7c03bfa7, 0xcb01796f, 0x50e8c96b, 0x38faa9a0, 0xa6c90a31, 0x878bcafc,
+    0x39694e74, 0xa1615284, 0xee807960, 0x026b0a6f, 0x61cc6e08, 0x96c5e84c, 0xa6d76e41, 0x04ad8b2e,
+    0x1a78a3db, 0xfe658fe6, 0x900f7b55, 0xe3742125, 0xdac12025, 0x482f4c3a, 0x03f1e5c7, 0x55ccb94e,
+    0x30237040, 0x777bc7c6, 0x6b1a4a88, 0x4bf59362, 0xa6985ecd, 0x7dbe4065, 0x3a6d966f, 0x875e7f4e,
+    0x00000000,
+    0xea807212, 0x092cc9a4, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000005986310706507378352962293074805895248510699696029696 */
+  { 0x00000000,
+    0x706700af, 0x1e1b363a, 0x18ac2f47, 0xb5a6fee4, 0x76f3c550, 0xf913d03f, 0x568ac639, 0x2d2c9977,
+    0x77ea7d91, 0xd0614072, 0x7c8e3df7, 0x3d6c043f, 0xeb42d739, 0x2d3c1f16, 0xced8cbd9, 0x1dad5057,
+    0xb5cd7408, 0xd39da065, 0xf118fbd8, 0xdfba516a, 0x2306dda2, 0x15708f6f, 0x48014eda, 0xd73d6858,
+    0x51b8fb94, 0x46d3c27d, 0x8d7fbec4, 0x9193cb7c, 0x9b6806d6, 0x931730cc, 0xd208d171, 0x94c9815d,
+    0x759865a3, 0x57fe6ddc, 0xffcff819, 0x9a9b113a, 0x0322a281, 0x31a221e9, 0x736360bc, 0xd9b72256,
+    0xe5802ebd, 0xfd002366, 0x066f0da1, 0xc9531c1d, 0x931373e7, 0x2cf5262a, 0xd646e5e3, 0xbdcfbaea,
+    0x945de078, 0x7c9244c6, 0x0a1d5321, 0xcac026cd, 0xd5f15a49, 0xbbcbc6ce, 0x14bac937, 0xd8220466,
+    0x50805fc9, 0xb5c7623e, 0x35c9cc87, 0x82a9cce2, 0x942939d9, 0x04b876c2, 0x9ba8c004, 0xebe5fd76,
+    0x284aca84, 0x2aab8cc1, 0x54933e5e, 0x4a1c5f61, 0x7d8a61a3, 0xd3c876a9, 0xd26834d0, 0x38955c81,
+    0xdb945115, 0x022b78a8, 0x90e3711a, 0x1f5842e2, 0xace0ef7b, 0xf05632c9, 0x4249ee0d, 0x9015f98a,
+    0xb0829807, 0x0a103996, 0x25663579, 0x82554f96, 0x1731d169, 0x7c5c5b5e, 0x09a28e3d, 0xe299e873,
+    0xad100333, 0x8467f298, 0xaab01c5d, 0xaa9a3377, 0x04c65dec, 0xcabf5b1c, 0xf2077539, 0xad24d1ef,
+    0x764f9d6d, 0xbe5270b8, 0x42d83fa8, 0xe4498269, 0xb41caeeb, 0x5a897acf, 0xe0b26f42, 0x569c9bb9,
+    0x70e088d6, 0xcdf390e1, 0x0dd8743d, 0x79a42887, 0x282a1a7e, 0x9590808e, 0x9aae9e14, 0x93187a45,
+    0x2df2dfdb, 0x09ff64d5, 0x7fc26b02, 0x9d34f1ec, 0x22d0748a, 0x11f35e72, 0xa77598f0, 0xefe859d5,
+    0x543a0ed1, 0x628e021b, 0x5e13f25f, 0xe59cfaad, 0x53b9fc16, 0xaa95807c, 0x893cd3ce, 0x13d14a76,
+    0xc32f4863, 0xd7d22953, 0xa88d123f, 0x75eea15e, 0x09cc6c6b, 0x9d51a6a1, 0x78572026, 0x996a7b9c,
+    0xf6e8e657, 0xc95f6f82, 0xd41e9027, 0xf348a7f4, 0x75161018, 0x1a42274f, 0x3be88bb6, 0x6f8639e7,
+    0x32351a1b, 0x09635b17, 0x5919933c, 0x2b049707, 0xed8c71a2, 0xe665a7f1, 0x7e9eda08, 0x6d441d09,
+    0x5040049e, 0x7ba1267b, 0xa5918a2b, 0x86c9ef06, 0xb3823729, 0xba42a43e, 0xd73f39e5, 0xc0958a81,
+    0xe641a6c5, 0x38c817e4, 0xad2d5e5b, 0x75a3447b, 0xd91f7b6f, 0xe6b92586, 0xdcad385b, 0x93b880e8,
+    0x0eb36a5a, 0x9bae7f28, 0x54b6ebe7, 0xdfbff578, 0xfd27ed29, 0xbc98930a, 0x36fc9379, 0x77acd84a,
+    0x603a88b9, 0xd4fa053c, 0xfe3d147c, 0x8c912cf3, 0x38f603b9, 0xc0059ea2, 0x1397ebea, 0x3d1c3fe8,
+    0x9a0edc0f, 0x3f4d5363, 0xfe09379d, 0x832d886f, 0x59a4378a, 0x62c9cf9d, 0xcfd23601, 0x3bed4fb9,
+    0x7c80f1e9, 0x51941c8f, 0x480007b4, 0xcca19de8, 0x753df3b0, 0xe504e1dd, 0x0cf14659, 0x9ef9fd58,
+    0x64f71cd9, 0x112c6b8c, 0x846e29bf, 0x46bfc026, 0xd56d33e5, 0x5414fe78, 0xec69232d, 0x3728c433,
+    0x16193415, 0x71ba48a0, 0x630d6c2c, 0xb28e8c73, 0x27804ba0, 0x598b1dfa, 0xc14f8cb5, 0x896dc58a,
+    0xf53a25bb, 0x84e8ba07, 0x0e94912e, 0xc56ecc36, 0x2db8dcb0, 0x6598f805, 0xc6319adc, 0x7cc233f1,
+    0x6bfbad19, 0x3ed57087, 0xd90f11cb, 0x5f2e27bf, 0x055c6bb5, 0x54e6b633, 0x817627ee, 0xc8b9b2cd,
+    0x1f36d1fd, 0x8288b94c, 0x60c8c136, 0x5973246e, 0x683a23f4, 0x4b4d8e9d, 0xe6e818d6, 0x971fbb5d,
+    0xa17923f8, 0x72fd6bc7, 0x5bfbf583, 0xcb75cece, 0xd99664bb, 0xeaf3a334, 0x87722147, 0xa7f15f54,
+    0xedbf3984, 0xe7dd590a, 0x7a75f628, 0x7258c579, 0x44954d75, 0x5a0bd69e, 0x291faf64, 0x7a44a1a9,
+    0xb4de6275, 0x154d8cc8, 0xd7de9b9e, 0x1a499a32, 0x56880d4f, 0x8cee9771, 0x3a814af1, 0xeba5d550,
+    0x073be4cb, 0x6216edeb, 0x8387a995, 0xbd82937b, 0xa7481db9, 0xb16f60d4, 0x42181f81, 0xce9d0784,
+    0x5a443606, 0x91169882, 0x1dfab23f, 0x7968fc30, 0xa52cf19e, 0xffbaa470, 0x52526b6b, 0xb99f2c34,
+    0x8e765ccc, 0x582705e5, 0x5f40149b, 0x1f2be4f5, 0x79463f26, 0x9d572d86, 0xa6d9e4a1, 0xf7acb375,
+    0xda8ac642, 0x413c2b24, 0x6ee38362, 0x87cb25d3, 0x1a5b2327, 0x1c9c05f5, 0x7a032bfe, 0xe1cbaaad,
+    0xf428e378, 0x14208485, 0xd68f8a35, 0xfff7639c, 0x24eaba1b, 0x60173976, 0x0631e31b, 0x89af47cf,
+    0xe53f4e8e, 0xccbefe54, 0x1c406eab, 0x4970eda7, 0x98404a14, 0xd7b35337, 0x4a5322f0, 0x89f5a53a,
+    0xad282515, 0x70940cd6, 0xa0a5a2b3, 0x1d6ee233, 0xb693cd2c, 0x7341e078, 0xf89f5ccc, 0xeb2244b3,
+    0xd04891c2, 0xb30c63c5, 0x4036bf4b, 0xc9071822, 0x6d3dd6bc, 0x0f49d874, 0x5c0751fc, 0xad35d9cf,
+    0x2da0ed09, 0x5ebffc69, 0x86bce503, 0xd0f6b38b, 0x6ddf26d3, 0x397ae3cf, 0x6f67013e, 0x001dd508,
+    0xf1076ee3, 0x5b337253, 0x7e8f7b02, 0x54582253, 0x935b8329, 0x269ee438, 0x225eea01, 0x8109ab82,
+    0xb53763a1, 0x06eb2a4f, 0x6541f7b3, 0x1e1214ca, 0x0d07565c, 0x727e7111, 0xf44f6712, 0x92acb012,
+    0x3ff6950e, 0x19b0a0d5, 0x2db906b0, 0xeab93fd2, 0x80bd535a, 0x044d62cf, 0x07b1a2a0, 0xa82acca5,
+    0x072ace38, 0xdefb4eb2, 0x70df3e8b, 0x1ef33ecd, 0x920a05fc, 0x72a9c45e, 0xb98cd697, 0xa71b9451,
+    0x25cf3fdb, 0xf337c2b1, 0x2052e717, 0xb20573e9, 0x1de47a22, 0x5ada59fe, 0xd5250d7d, 0x9e4a4431,
+    0xae19acd5, 0x690c46f0, 0x1b612ac7, 0x7bbfaf79, 0xc2fa5e21, 0xbeb54125, 0x675263f2, 0x34c86e7e,
+    0x952717e4, 0x82d0ed16, 0xe8d93a66, 0xd7fd136a, 0x73a1bc38, 0xa944bcef, 0xd96d36c1, 0x1896423a,
+    0xc07e24d7, 0x405aa9ac, 0x22d8c4ca, 0x827f2894, 0x102e20a8, 0x89f3a638, 0x5546194b, 0x2d039a41,
+    0xb1d85193, 0xc5922f2a, 0x72279671, 0x760ca27b, 0x2d38066a, 0x5c21c233, 0xb568f2ef, 0x8a835a92,
+    0xd49d79e1, 0x6f48ee14, 0xdee59e52, 0x7fe1d644, 0x46f39904, 0xdd87c2ee, 0xc610136e, 0x69db85ea,
+    0x4bc58497, 0xa06afab2, 0xd28b1b65, 0xbc2f7ca7, 0xa8004465, 0xf255fce2, 0xe9c1d191, 0xee5efb80,
+    0xacee2bc2, 0xf6b55bcb, 0x0467cab8, 0x6d9d8947, 0xcafa6167, 0x58b3aefb, 0xb713d136, 0x7b94a95c,
+    0x19be6c26, 0x16690d61, 0xe9ec8fa6, 0x528b59be, 0xc276c434, 0x0f157be0, 0x6002d5ca, 0xacaf2479,
+    0xd39a9c24, 0xf65f4b0b, 0xc8034286, 0xb2f92ec5, 0xadc61532, 0x26031e92, 0xde1c2d05, 0x606d9fcc,
+    0x4406ec84, 0xe86fb5da, 0xd6205068, 0xfea76e56, 0x9fbd376c, 0x49354190, 0x24a4ea9f, 0x37030c09,
+    0xbfc69563, 0x4e3beffb, 0xfeadabbd, 0x1aa40590, 0x9446f751, 0x49bfb024, 0xa5ef94ce, 0x3bb7c52b,
+    0xbf687549, 0xee0a0eac, 0x54301d8c, 0xae6117a7, 0x3e18f748, 0x88391939, 0x7d954f48, 0xa96048f5,
+    0xbc65df93, 0x5de5e8c0, 0xc9447c69, 0x1aa27791, 0x2b3c0935, 0xb6883047, 0x1054ef65, 0x1e25b71e,
+    0x0049930a, 0x19c9d4ca, 0x5dd35264, 0x3938e819, 0x34c28b97, 0xd49fac7e, 0x9713753d, 0xa155ddb3,
+    0x5ab1e13f, 0x7b24b8a1, 0xb907e877, 0x95ba77d5, 0xe67b6f5d, 0xf7a28dc0, 0x5a9aa9db, 0x34751110,
+    0x78da62eb, 0x7d427295, 0xe4a8bdbc, 0xabeeffba, 0xef6ea10a, 0x47034c86, 0xda0131b5, 0x1cfbae8b,
+    0x3e98e93f, 0x2156498a, 0x805f0967, 0xc5b68fa9, 0xa41f1e2e, 0xa555361b, 0x4aa55041, 0xbd0490a5,
+    0x3dc0e710, 0xcf37f7c6, 0xc130b85f, 0xc2b7394b, 0x39a2f6ad, 0x9c7f54b8, 0xcd6f1370, 0x8fa2379f,
+    0x917ff38f, 0x97feec23, 0x1dd41c59, 0xc611a32d, 0x11e3583e, 0xfcfdae3b, 0xe38da03c, 0x3b218205,
+    0x5aee863a, 0x24dc0a3c, 0x08b3f7ed, 0xc69108a9, 0x4a8a77e3, 0x2ae6d048, 0xc77a3a54, 0x27f55727,
+    0xe8c899d6, 0x44e0a4ba, 0xd27b21db, 0x5c5d80ad, 0xc1ea8228, 0xdfbf4df4, 0xcedc5309, 0xe4719804,
+    0x0346cdc5, 0xc31282cd, 0x9484d78e, 0x0e452061, 0x2217f381, 0x21f49480, 0x5848b68c, 0xe5ad0c5d,
+    0x1f12ab54, 0x7b417a96, 0x3d993ca8, 0x38b84abc, 0x4b957859, 0x4eb2043a, 0x4a1681d0, 0x6f240402,
+    0xaa387cbd, 0x81804e57, 0x955ba796, 0xec4510b2, 0x413b821f, 0xac939144, 0xef6247d1, 0x824391d5,
+    0x1710136f, 0xfb8e26e5, 0x5491202b, 0x014068f1, 0x22037c4e, 0xabe5b42c, 0x9d8a8caf, 0x8e116159,
+    0x860e0fff, 0xa29cf89d, 0x7f6fbf9d, 0xc681f273, 0xb1a20497, 0x3af506ef, 0x8017646d, 0x24b85e17,
+    0x640fdb44, 0x9d0b5bcc, 0x4e2cdbf7, 0x6ea480a9, 0x16403e95, 0x427f120a, 0xe5ea6dc3, 0x01cb2b47,
+    0x615a388c, 0xbd46fcc3, 0x96e47910, 0xe6530381, 0x64d1e7d0, 0x1a5ae63d, 0x6f466179, 0x7af00ef0,
+    0xdba70a69, 0x9f6ab4f9, 0xd8e9e2ce, 0x4160f1fe, 0x82b80737, 0x6b9f48ac, 0x92f12a7f, 0x639183d8,
+    0x047dace8, 0x13a3b2f5, 0xb2f8aef7, 0x61f8ef3a, 0x6806fe52, 0xbcc3ed8e, 0xb3384f16, 0xea4a0c06,
+    0x3ecbecab, 0xde21ab35, 0x9963df68, 0xda31c000, 0xc412ac02, 0xd3141161, 0x62855f85, 0x57c089c3,
+    0x8cb58c3c, 0x55946c02, 0xfbf996f2, 0x537452a7, 0x81edb57e, 0xf5edd0a4, 0x874d898f, 0x94ca77cf,
+    0xce3ef046, 0xb5ac0749, 0xfcd2ffda, 0x822990a5, 0xcccba18f, 0xd2911c6b, 0x496e67a4, 0x53853854,
+    0xfb868c19, 0xa04ea943, 0xcbdfe6c0, 0x7c629d46, 0xa3c0cc16, 0xf88e9229, 0x4298e2de, 0xb3664faf,
+    0x05af108d, 0xd0a7498a, 0x96611724, 0xe7281545, 0x1ac9113b, 0xab68bd87, 0xe80afde6, 0x0b469727,
+    0x9774a601, 0x944a887f, 0xd555ff4c, 0x12024168, 0xfe06d5d9, 0x1272e56d, 0xd4240a33, 0x41d24056,
+    0x2151e11c, 0xd1517eb0, 0xbff2cf7b, 0x3d7f0389, 0x2ac6e5b6, 0x1dde5fa7, 0x97edcba2, 0x71c34c98,
+    0x7e21390c, 0x3598bf2e, 0xe4614067, 0x1b32d333, 0x180bd680, 0xcd7539ac, 0x4eac38ac, 0x65de2e14,
+    0xf604021f, 0x85f29d41, 0x877ec5b4, 0x95b06e67, 0x764ad4f1, 0xab23d893, 0xd51aa2b5, 0x207ba395,
+    0x30111f95, 0x24f3c0de, 0xeda447e4, 0x001ed619, 0xf56c5dda, 0xb56a6794, 0x7e05ed7f, 0x1c0fe759,
+    0xa400fd41, 0x0531c395, 0x990abe4c, 0x007fd9ba, 0xde05c30b, 0x52bca05d, 0x2b68dca3, 0xcd133aea,
+    0xf01f2959, 0xceb1f4bd, 0x4e338d9d, 0xaf7281c2, 0x5e4282c6, 0x64df6670, 0x8cd98f9f, 0x2473f715,
+    0xe25263a2, 0x2a230c62, 0xa41828f8, 0x47118149, 0x741be845, 0xfd84653f, 0xb46b383e, 0xe75a1edf,
+    0x07eee008, 0x17407ae5, 0x1bbc8046, 0xb2fed76a, 0x2391591d, 0x03622f28, 0xa7995d0f, 0x1870f00c,
+    0x6c38f055, 0x0b1c454a, 0x1fe281df, 0x1fb112bb, 0xe2234f5c, 0xf72acfeb, 0x207b9146, 0x668fe645,
+    0xc80b0c25, 0x61c95ad3, 0x7799bf85, 0xf3bad13f, 0x66c0f7b0, 0x3c9102c1, 0x7e256465, 0xe39c66d6,
+    0x7257b61e, 0x292fc21f, 0x060488b7, 0x599fb668, 0xea9e9a9a, 0xe0da4906, 0xd543f377, 0xfab16665,
+    0xc2b01f52, 0x1e43af9e, 0x0949d9d5, 0xaeac7de5, 0x74e35963, 0x356c0494, 0xf30d35cc, 0x0cf5c8ba,
+    0x2582b388, 0x5018a128, 0x81e38d78, 0x215cb5a1, 0x40322a0f, 0xc012d805, 0x4265ed96, 0x35e588f1,
+    0x34704a60, 0xea25b416, 0x84f01649, 0x221da5ab, 0x3101a6e5, 0xdef5bdbe, 0xe5c6c11b, 0x9338f0a7,
+    0x074fb025, 0x7b9e8eda, 0x2e8ffe68, 0x78054f65, 0x2faa9993, 0x7344bb36, 0x875fbca3, 0xc33c3041,
+    0x49985d4a, 0xebc4f5c2, 0xa1df8c3f, 0x312076cc, 0xfec3e5d6, 0xa1d42c09, 0x549feef1, 0xac846ada,
+    0xd7dcec56, 0x1cc4dc79, 0x15e6584f, 0xb82767c0, 0x93c16685, 0x7dd45e89, 0x2a9b92af, 0x2099e208,
+    0x9a4f75b8, 0x9024b79f, 0x0bb07f10, 0xf359cde9, 0x2e5aae55, 0x29f99ff0, 0x99a0deff, 0x605f759c,
+    0xbf7bd72d, 0x81c932ce, 0xcabaca27, 0x42ea8d52, 0xf265e20c, 0xef61f125, 0x53a61d10, 0xedd5b390,
+    0xb03add49, 0x01e3b041, 0xb131261d, 0x5a196a6f, 0x71959ddf, 0x1b482c25, 0x11f4d404, 0x9c30adb2,
+    0x0d5eab43, 0x637fe482, 0xbafc3397, 0xe1f1eb5d, 0xe8aea018, 0xf44fe363, 0x727a56e9, 0x19bbb1a3,
+    0xd228a3e1, 0x4249c162, 0xf0f84486, 0x2d1391d1, 0x2e3fb98b, 0x4a7760d7, 0x30bda081, 0xd8a79860,
+    0xf09b6c46, 0xde76fa85, 0x465e3b9b, 0x853b10bc, 0xbfe5027a, 0x30440b6c, 0xadd078f9, 0x6ac26173,
+    0x0b636070, 0xa48721d8, 0x804fa1a8, 0x7651003c, 0x3f07ade4, 0x8584154d, 0x08aa89f7, 0xf14cada0,
+    0x203bc9a1, 0x5907f836, 0x3f0d2487, 0xf890db9c, 0x024e1fe9, 0x88ac6796, 0xa58d3689, 0x61f307a4,
+    0x80ddb466, 0x31879c0a, 0x6faa21e4, 0x3c861bc2, 0xb8bc5993, 0xd03ddb83, 0x7124b8e7, 0xf1307678,
+    0x3fe8da4e, 0x4993184d, 0x5af10ba6, 0x3dd8968a, 0xe3334a8a, 0xe01f83ca, 0xc4b25bc8, 0xfbb5b601,
+    0xf82fa423, 0xdad245ec, 0x3953ddad, 0x5c7a8ab8, 0xd0fb7c33, 0x41f4bc47, 0x8ba7651c, 0x9b4964bc,
+    0x5a52d323, 0xcaf09b17, 0x24361570, 0x49f2902b, 0x9595b268, 0x16b4492b, 0xb3e4a431, 0x0ff0ddf5,
+    0xa5f1c4a9, 0xecb2e766, 0x05a24694, 0x89d0e954, 0x53b0b72d, 0x674fb7b6, 0x04d4401f, 0x088513fe,
+    0xb313e918, 0x72c66f31, 0x5bbd61f0, 0x8af60c80, 0xebc15c63, 0x19f8910b, 0x3d423c50, 0x84851cd9,
+    0x24e19c55, 0x7e1e280e, 0x5734c0fd, 0xe11fefff, 0xb807f675, 0x6615ee52, 0x8dcf950e, 0xf5510606,
+    0xec9fb77c, 0x4d53f37a, 0xe21702f3, 0xd74072ee, 0xf3d8c99e, 0x82807d07, 0x19502784, 0x01713a89,
+    0x626edec2, 0x612f3453, 0xee57cdb7, 0x40c10c43, 0xb2a5456b, 0x9aef762d, 0x87719226, 0xcf950a51,
+    0x7984bbbe, 0x5e0123ee, 0x67a04af4, 0xe234f8ba, 0x199a6964, 0x5e9d13db, 0x18f40c34, 0xc0238c2e,
+    0x392350f5, 0x5cfde568, 0xf7c8f85e, 0xcbf382a0, 0xb363fa7d, 0x2269e643, 0xb963f384, 0x55d774ae,
+    0x1df54f36, 0xfa2e96ad, 0x7955e044, 0xed689c99, 0xd4323816, 0x62b76f36, 0x7079a6fe, 0xc5053939,
+    0xeda537fd, 0x45b699b3, 0xaf4a13e5, 0xcf1eb6e8, 0x80140549, 0xc950aeee, 0x3dc1737f, 0xb5ddbf12,
+    0x879544fc, 0x7910466e, 0x5c936467, 0xf7c60f03, 0x4aae0c4c, 0x4d69f436, 0x164c81e6, 0x1adf3081,
+    0x7cf2faf8, 0x55ff0c47, 0x5f8b20e9, 0x8fb110a4, 0x5208b56b, 0x20ac5036, 0x351f2dc8, 0xd77139f8,
+    0x3921314d, 0xb23c2d52, 0x771cb8e4, 0xa5c73117, 0x40a962d6, 0x79e567e8, 0x620173cf, 0xdb628fc3,
+    0x5b5b2fa2, 0xcf901bd0, 0x24edf897, 0x3ee9bb55, 0xf23ffc0b, 0xac891d7c, 0xff4fcf76, 0x8bb03642,
+    0x51e7aa0c, 0x2b72cee4, 0x5b7f04c1, 0x09a19d4d, 0x3a9fac5d, 0xa3aa2ac9, 0xe5348cea, 0xba283d3b,
+    0x00000000,
+    0x75403908, 0x049664d2, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000002993155353253689176481146537402947624255349848014848 */
+  { 0x00000000,
+    0xc9e49256, 0x1b3032ca, 0x05ab7ed0, 0xae0277c2, 0xddbf0310, 0x65642582, 0x500ecf59, 0xe8241477,
+    0x6ccfcc31, 0x87211770, 0x7978327a, 0xf0ee05e3, 0x3df42b4f, 0xb5289328, 0x3604722a, 0x89d17824,
+    0x82e1b96b, 0xad03ccb1, 0x2ba0da0b, 0xb3e7d6d9, 0x6211f465, 0x2ede07f6, 0xe498a401, 0x39f4e2b4,
+    0xfd4e6151, 0x402c0d21, 0x9775e3db, 0x2f3afd59, 0x91b816aa, 0x8dc46ea1, 0xe614f199, 0x8ef2f3c2,
+    0x0ef093ac, 0x7ab6eaec, 0xb354b668, 0x47af1200, 0x82e430bc, 0x386c815c, 0xc3bc511c, 0xdd8249d6,
+    0x02d3adbe, 0xfe491f85, 0xa06c710c, 0xa65e6f1c, 0xa240a91a, 0x0eb1f4f3, 0xa40ea536, 0xb8cf1956,
+    0x38140d33, 0x5f5b65c3, 0x1c351cf1, 0x8ef48ac5, 0x270be3b7, 0x5a34a494, 0x107c5f7e, 0x5e01fc51,
+    0xf2cc1816, 0xea058c5e, 0x024cdc0d, 0x3b3fc8ca, 0x8fc63958, 0xf975bdaf, 0xebfe9a05, 0xb7d9520d,
+    0x635750ba, 0x71452ba3, 0xc35a3b5b, 0x25fe2cb0, 0x5ed66b91, 0xf889f550, 0x9e91a7ae, 0xb59908c4,
+    0x9de28c39, 0xd134eb74, 0x06e55b28, 0x2f7ee2b6, 0x23f75353, 0x6d55bb5f, 0x34ccea3f, 0xcb080874,
+    0x1ce4b0f1, 0xb700628e, 0x4fbec401, 0x31e607c8, 0x89ce5c7f, 0xeb848966, 0x632907ff, 0x32375405,
+    0xc842c4ad, 0xe68158dd, 0x3ebdfb1c, 0x4d3222be, 0xb90e28cf, 0xac1b8956, 0x32d11dc5, 0xc6b706cd,
+    0x9e3f4420, 0xcccdff85, 0xfffe7922, 0xae9acf2f, 0x3ec08a93, 0x5e7c43f6, 0x30852fef, 0x0f297923,
+    0x484b666f, 0x8750f648, 0x34d03373, 0xc175c63c, 0xe4859147, 0x42e7f6a9, 0x882deea3, 0x79d03412,
+    0x8ab337af, 0x0b27ba7c, 0x51ae634f, 0xc2cf8ca4, 0x89eca710, 0xa9cf99ca, 0xfe08ac00, 0x9b53eba3,
+    0xb02aa441, 0x7ef6bb7c, 0xf478e86e, 0xe986d3dc, 0xd4f1e2fa, 0xee3ea265, 0xa71ae91f, 0x5b2cba3f,
+    0x1f7abc57, 0x80951edb, 0xf671e78c, 0xea3e36b7, 0x850f6d60, 0xf98874ba, 0x399a8e8a, 0xd67135bd,
+    0xea85e285, 0xd1e11400, 0x68314c58, 0xef91546f, 0x2f1d871e, 0x15432ea3, 0x5a81c064, 0xd97faf9a,
+    0x6270f5a5, 0x96f67f27, 0x26555f62, 0x9f950c5b, 0x29584ef7, 0xe915a862, 0xdad9fde6, 0x6bf12be0,
+    0x86a124ca, 0x341ee411, 0x094de079, 0xef6d4690, 0x3af224f7, 0x31c472c3, 0x23b0844f, 0x8def1fbb,
+    0x9892073f, 0x052407f4, 0x04f463e0, 0x000e445e, 0x288cd927, 0x06fb35ee, 0x03ff0403, 0xfc4a558d,
+    0x78cc95cb, 0x5cf5212a, 0xe71a3b8b, 0x01bf3284, 0x8287f53b, 0x3578aa81, 0x3fe15886, 0xb0879c65,
+    0xda9497a7, 0x923804f6, 0x0dfeb58f, 0x80ba73e7, 0xf8c80913, 0xb97da505, 0xbd4a9945, 0x6971cb08,
+    0xc92c0af1, 0x142cc76d, 0x92650d34, 0xc249d51e, 0xaa260891, 0xea5bbb94, 0x613a0f92, 0xce831e65,
+    0x59ad153d, 0x829d6e7f, 0x8b308afb, 0x72d075f5, 0x8fe6c09a, 0xccebd309, 0x281d84b1, 0x725e62ef,
+    0xd2b9738b, 0xe91cb552, 0xf6f96f7a, 0x69380f9e, 0x708ff6c8, 0xf4e53641, 0xe4f69782, 0xbf9a7806,
+    0xc65baa4d, 0xcc45fb7d, 0x90ef72f4, 0x3c093954, 0xbd091162, 0xe75d6184, 0x340cd5d7, 0xbef78077,
+    0x38121432, 0xeb34704e, 0xbf01477c, 0x67251468, 0x314425d0, 0xb225def1, 0x1e24f8ef, 0xae46f997,
+    0x48c431a7, 0x93fd8500, 0xc96c9263, 0xe2505f6a, 0x3b500362, 0xf837be56, 0xd69e47ea, 0xae10b69c,
+    0x7572f54f, 0xc5db931b, 0x29c8d117, 0x76fa8262, 0x40ba7508, 0x82615fbe, 0xefec352d, 0x8a28bf63,
+    0x14d4142b, 0x30e53089, 0x1ce2e817, 0x3eb267cc, 0x3fc70e36, 0xc1329d2d, 0x566551d2, 0x0abdee87,
+    0xd9d54310, 0x6e354dac, 0xd6bf0e9f, 0x92f7daac, 0x467b1973, 0xdc3e760b, 0x75576ab9, 0x95ca3238,
+    0xa03b9589, 0xa19e9d2e, 0x03d6a0b0, 0xa247d5cc, 0xce9de4dc, 0x559ebe41, 0x758f3b69, 0x5cf30018,
+    0x75c51035, 0xf90ef041, 0x8612501c, 0x7c76ca68, 0x8259bead, 0x957da018, 0xed3b929a, 0x66c59658,
+    0x3f571e36, 0x8c3f1fe8, 0x64ca017b, 0x4ba6580c, 0x8dacc3e9, 0x6fa39b43, 0x8807f179, 0x122b0c94,
+    0xc9e99ecf, 0x815bd4cb, 0x653cc375, 0xd3b36052, 0x107d4ee4, 0x696be8bb, 0x502879a6, 0x0cf76192,
+    0x4e5a2bb9, 0x152548ae, 0x69b54864, 0x525e6bff, 0xcfe836a2, 0x1ed218a9, 0xc60a3ddc, 0xff38d783,
+    0xa93b8e28, 0xcab5b401, 0xa83a28ca, 0x4e8d5543, 0xd5e394a6, 0x53560419, 0x376195db, 0x5a2a09f6,
+    0x2bac5c0b, 0xece65a30, 0x4ffb2f38, 0xf4cd99cd, 0x85e9f44e, 0x500f0493, 0x36c70c95, 0x35933935,
+    0x3790bec2, 0x94bc3666, 0xf27fa2b7, 0x4b4fbcaa, 0xc59c6079, 0xeea359fb, 0xa732756c, 0x00fc2efc,
+    0xc476e4ab, 0xabbd655c, 0x5cb1350b, 0xad87016d, 0x4890d56a, 0xb3820d7a, 0x89173909, 0xdeae8605,
+    0xe5f15368, 0x330f86e6, 0xa3496d81, 0xfd4847ba, 0xd2c5d430, 0x62a600d0, 0x75f16cf5, 0xbbd5e750,
+    0xc0b80b39, 0xceea830f, 0x5e477e51, 0xcbd66ecf, 0xc800af1f, 0x73e5bad8, 0x4a66630c, 0x9f6b8091,
+    0x25569d85, 0x7b81e355, 0x4ab3c5ae, 0x6b553202, 0x261bda35, 0xd1276ade, 0x5e798cf5, 0x0e5c4160,
+    0xaa8d3e36, 0xb427ce7d, 0x477ed6d6, 0xb4f7fab7, 0xa1cbb1ee, 0xa04396bc, 0x24e54a63, 0x76775e2d,
+    0x5670a128, 0xfa4fc046, 0x4e5d12b1, 0x82e76d65, 0x7079bceb, 0x940ff3e3, 0x541aa432, 0x85608cdc,
+    0xa61bc240, 0x0975ca72, 0x28ecb7ea, 0xc5a14efb, 0x471348f3, 0x2bfdad4b, 0xba70884e, 0x317afeba,
+    0x3213f918, 0x46d79deb, 0xf248acb6, 0x36a90d17, 0x3168ef03, 0xea2a8382, 0x8d3d313f, 0x360bc8c9,
+    0xe1ad4dc5, 0x25dffb14, 0x824156ce, 0x580b3f49, 0x974d8801, 0x7de3af94, 0xb2157b33, 0xf5cd306c,
+    0x6b0b13a3, 0xc7e7de0c, 0x057893df, 0xf485c7d6, 0x3b7ea3b2, 0x84b6c545, 0xfb8a61f6, 0x6dd602a9,
+    0xee74ed6b, 0x748b604e, 0xae62a6e4, 0x5b2fe0d8, 0x9c61ada2, 0x58fa8bb9, 0xa3f82841, 0x21b6da11,
+    0x5e863233, 0x3449cdb7, 0xcbed49d0, 0xbce730a9, 0x6bc0014f, 0x4e0f4a97, 0x93ffe9ad, 0xe91bb75d,
+    0xac7d7cb7, 0x28b42a3d, 0xfa396beb, 0xd93d23f7, 0xdafa2c02, 0x3973ff0b, 0xd6ac5f9e, 0x54732e52,
+    0x3b861740, 0x00024586, 0xd9698355, 0x2e6868dc, 0x57df38c0, 0xee024e29, 0x3448e77b, 0x46703284,
+    0x30805829, 0x5a8d194f, 0x987333d3, 0xa18c76da, 0x342c4ad7, 0xb6954a82, 0xcd907dd7, 0x59fdb9da,
+    0xb59c6a0d, 0x0d7bd33e, 0x8934d6cd, 0x62c66554, 0xce19c2e2, 0xb2fe8a4b, 0x7b286799, 0x2fef5df5,
+    0xe8df6e8f, 0xd6e2ab12, 0x40acebda, 0xb0ab65f5, 0xa4c93799, 0xfca0996e, 0xf54b12e7, 0xe24921f0,
+    0xa3590fe5, 0x805982cf, 0x9d149d5e, 0x12479e15, 0x6cdcfb22, 0xb0d03c9c, 0x0931ff68, 0x0fa46869,
+    0x14f96618, 0x1b04e981, 0xd673c07a, 0x83f5447a, 0xe364917c, 0xbfb7c553, 0xc4a5f5ce, 0x2bbe374a,
+    0xf6337016, 0xc97042ce, 0x26bf5fdf, 0x4773158b, 0x0c4ebb59, 0x912db1b1, 0x6b47c878, 0x4a776c73,
+    0x8ddfbb23, 0x57b8fbe4, 0xfa5db8ab, 0xbd367130, 0x4a74a46a, 0x7caab265, 0x70dc6c31, 0xaf8046b6,
+    0xe22fbbad, 0xe7930320, 0xcd9247db, 0xb825737b, 0xae1e455f, 0xd8887e4f, 0x73865e71, 0x34a2f3a4,
+    0x0937beae, 0x56ebc7ca, 0x22ed5cd0, 0x4754efaf, 0xe116a9f4, 0x6292ea96, 0xb06b37be, 0x85294b21,
+    0xadce5e99, 0x6a09e718, 0xebfcc4a0, 0xcb625ec1, 0x820dca7d, 0x54c6fd14, 0xf9a9d17f, 0x32e9ea5a,
+    0x9353dccc, 0xc237c420, 0x00fadf67, 0xbcae5a93, 0x1779e4f7, 0xfc2e966a, 0x93ff5328, 0x29d70268,
+    0xc0054a6d, 0xb1beca51, 0x3bafd01b, 0x816958d1, 0xa620b91a, 0x3a879e12, 0xef53898c, 0x9239316e,
+    0x40c744ee, 0xf32a9492, 0xce3f05f7, 0xa692261b, 0xe98c7cf3, 0xc4f87227, 0x21888e74, 0xc14d6540,
+    0x4c8a49a8, 0x50d36979, 0x0d52b309, 0xdfa9da38, 0xc0c5b452, 0xc79a088c, 0x98e7b854, 0xc07f4714,
+    0xe902bdd9, 0x5a7e004d, 0xf77507a3, 0x1140c1eb, 0xfa3e7c55, 0xde5b1929, 0x259b1e5e, 0x4959b72f,
+    0x65c8ea6f, 0x5e0c203c, 0x87f3ba4a, 0x4813b99c, 0x5652d0ee, 0x8eb35171, 0x8bd230d8, 0xb95172d6,
+    0x15fec377, 0x5f92179d, 0xcd115089, 0x5b1567ee, 0xcd474549, 0x78df3d21, 0xc4843eda, 0x8a002deb,
+    0x4ea0abc4, 0xe2dd8892, 0x20bc6d73, 0x8cf02ca2, 0xeb7ffa58, 0x8ab23421, 0x27900f94, 0x51b53f5e,
+    0x38c6e376, 0xc029b6e0, 0xb2012cc3, 0xb7d19818, 0xaaa3d224, 0x7a1d971a, 0xb5aa0a81, 0x8ed7f614,
+    0x563e89de, 0x95935639, 0x67e4da9e, 0xa59dfa89, 0x9ab5c03f, 0xa12a6ba7, 0x7af0bcca, 0x7723385b,
+    0x3f706451, 0xf0816de6, 0xad54e27e, 0xe7570dd1, 0xb6555674, 0x95f0e99f, 0xd89053c1, 0x43478177,
+    0x886ff696, 0x02d822e3, 0x0dc7ab0e, 0x7839b94c, 0xe8cb5af8, 0x9e008a5d, 0x99272938, 0xd77e34b5,
+    0xdeec391e, 0x02f956d1, 0xed75e05b, 0x9d26ab07, 0xffec20be, 0x8e222624, 0xb704bca0, 0x46d4630e,
+    0x609deb6c, 0x0457b67b, 0x9556236e, 0x16c28fb1, 0xb2347164, 0xc8927bda, 0xdc5bf6d0, 0xc863f3ae,
+    0xd984f618, 0x3bf64afa, 0x0da9e6fd, 0x11330896, 0xd2a7e208, 0xfe59be69, 0xccab92b3, 0x23ac8c64,
+    0xb0610551, 0xedc8b2c9, 0x9dcf2d49, 0x9c276ae2, 0x3d74de6a, 0x94b478dd, 0xf07d2cab, 0x1e4eb0e1,
+    0xe2909465, 0x3a16d486, 0xf3496bf0, 0x15687be1, 0x95817bdf, 0x481b3b30, 0x5895bbe3, 0xbfac0340,
+    0x94c796a4, 0x13e6c5fb, 0xc668edd2, 0x4deeed7e, 0x547eb89a, 0x488b2da3, 0x46350d2b, 0x859af329,
+    0x0bf6033d, 0x991c2dca, 0x1ab86bda, 0x653b4bfe, 0xcc95ae52, 0xf3f90056, 0xbdd397ec, 0xf9d5bbe2,
+    0xc4f26144, 0x27144e44, 0x31273d16, 0xecd6bcb4, 0xb5584f1b, 0xc350b252, 0xd337365e, 0xc610fec6,
+    0xac6689bd, 0x9a8b5663, 0xa00b8a79, 0x7a75042e, 0xd7401eb3, 0xdd608bca, 0xdd61b98d, 0xfd4404e2,
+    0x3e9c65d5, 0x2a1cf561, 0x1f02fafe, 0x04909c2a, 0x32f6e9b2, 0xbbe55c51, 0x4207702b, 0x4c7fb2eb,
+    0x96b8e8e2, 0xd6171e0f, 0x51220e39, 0x23fd7c6c, 0x26319a45, 0x5a1eb40f, 0x26b2b654, 0x0572d79e,
+    0x5820797c, 0x945c1aa8, 0x2fcb4873, 0x589bc0ec, 0xbb3a0fa0, 0x90ab890c, 0xbc5e7d89, 0x471476f9,
+    0x6440ba70, 0xdaf0282f, 0x292a535d, 0x6cf170d4, 0xc553f2c6, 0x95387535, 0xf0e9c4a1, 0x5d25251e,
+    0x2db44957, 0xb38a92f5, 0xe8ad6356, 0x42c1a888, 0xef585508, 0xb1bc9894, 0x40042dcc, 0x399fb454,
+    0xa2e47455, 0xa4264339, 0x4164e551, 0x7147aa3d, 0x252607c8, 0x3b5729b5, 0x320ea50d, 0xafe2698f,
+    0x9c42383b, 0x60085950, 0xa26c7027, 0xce4f7519, 0x3e0dcb17, 0x66284e8b, 0x1b00c8e3, 0x22948f95,
+    0x11bbad71, 0xafdb36bb, 0xcb625d5e, 0x239f3748, 0xc165662d, 0x74c70ec2, 0xa788039c, 0x8b008f3c,
+    0xd146cb3f, 0x40e78ccf, 0x31286c62, 0xbc42a7f7, 0x73cdbcfe, 0x3a22286d, 0x522fded5, 0x1e834d18,
+    0xc8a491e9, 0x9ec19d31, 0x601ed23a, 0xc0c9b8cc, 0x909d52eb, 0x582eaea1, 0x79b1cad6, 0xe1a35e07,
+    0x6281c8f0, 0xf1b987fa, 0x1b4af575, 0x40523d37, 0x88f88abb, 0xdddb8fac, 0xec237d13, 0x145a96a8,
+    0xb0163b69, 0xef5b14c0, 0x358fbd43, 0x0f3d0953, 0x483a40e9, 0xcd48ae2e, 0x516bc943, 0xf9454503,
+    0xb0b481b7, 0xffa9fc8b, 0x94fbd864, 0x4ec02fc9, 0x6464ccd5, 0x2d5bee5e, 0xc6f1f0a5, 0xe226a2a7,
+    0xb8829707, 0xf7bc6349, 0x252cd6e4, 0x71772e54, 0x59d6583c, 0x2269b571, 0x8d45044e, 0x12c507ea,
+    0xf51b91a5, 0x69f45afa, 0xa3f29aeb, 0x63a74c8f, 0x2d942b79, 0xd8b64aa0, 0x180a9f63, 0x6b1b2bf9,
+    0x9dd87251, 0x341ca97a, 0x7564c571, 0x869fa8d9, 0xb71eebfa, 0x4b73543d, 0xefc525a5, 0x28f4412c,
+    0x996af46b, 0x68761a67, 0x6e6e4eb9, 0x9f6ed454, 0x1e5a4416, 0x770655df, 0xce5d6dc2, 0xfc944cf9,
+    0xe166c2a0, 0x379317fb, 0xe651f3d5, 0x89c08aee, 0x782b256e, 0x75f41c5f, 0xa51af9cd, 0xd8c76eff,
+    0x78064288, 0x20f37432, 0x8742c139, 0x7f89f68b, 0x7dcd3ed6, 0x7dce984c, 0xf2556da9, 0xb098a5e6,
+    0x080e7a7e, 0x8b9de959, 0x1fe6f9ed, 0x4f380b2a, 0xed111636, 0x048ce65b, 0x8652a766, 0x0916c7c3,
+    0x88a35726, 0xf3f29dcc, 0xd62a0b81, 0xb3f2d18d, 0xd4fc743c, 0xf3990025, 0xe4b9faef, 0xbc50b430,
+    0xb7d31e08, 0x33e0167e, 0x540d2a93, 0x83b8666f, 0x5776c56f, 0xb3d50347, 0xb778e089, 0x13e83e1d,
+    0x367a4048, 0xfdc379cc, 0x7e246e75, 0x4146d759, 0x4668c7af, 0x048bbed0, 0x3f2a3c55, 0xbb88c827,
+    0x75d6d8c3, 0x38a1139d, 0x6c8eb9ef, 0xbce98434, 0xabd7342f, 0x1fece978, 0x89499b14, 0xff149272,
+    0xd664068c, 0x97822bc7, 0xd8038e39, 0xaf21f23d, 0x03e5c6ee, 0x331e9a92, 0x65bd2932, 0x805469a8,
+    0x0c0673fb, 0x12045669, 0xf01a8e7e, 0x17791ddb, 0xb1f771b2, 0x146283e4, 0xd258bf8b, 0xc9c77f10,
+    0x99a32ca6, 0x9f10dc50, 0x5d5bc8d6, 0xb62fa075, 0x27710434, 0x09d18baa, 0x607e36e2, 0x2a0c7e2a,
+    0x6d5383e4, 0x3951ec6e, 0x6869758e, 0x65cab215, 0x55379b6b, 0x06dca7d4, 0x2561586e, 0x1267a626,
+    0xd79ade34, 0x9abfc754, 0xa0b569ae, 0x05dcf107, 0xa54292f4, 0xf5f95960, 0xbe1ddb26, 0xf959cea9,
+    0x8afabf8f, 0x4af5d6cb, 0x9dd5f818, 0xd19db27c, 0xa4fed467, 0xd8578964, 0x729bc22f, 0x39bd3cd6,
+    0xad61fda4, 0xa4b1cbdc, 0x4f516462, 0x62f22c6e, 0x277264e9, 0x1d97bfb5, 0xea80561e, 0x8b5a9875,
+    0xf283a1ee, 0x2f9c7eca, 0x683ce441, 0x8a1d0c2e, 0xabb92e76, 0x8b3f814d, 0x6b1a212f, 0xc80cbd1a,
+    0x0f5a58f2, 0x332512a5, 0x09bfb37e, 0xba384998, 0xfb671dbd, 0x3cfcce6c, 0x84d0b330, 0x495cb9a3,
+    0x704c633a, 0xd2ec94ac, 0xcd7efaec, 0x16162a5a, 0xc98c0d99, 0x01ebbe49, 0x6d0b3368, 0xe9073439,
+    0x9eef491e, 0x70ca209e, 0x46ed9e26, 0x24b46906, 0xbe286851, 0x6c81edae, 0xc8a2235a, 0xa3d523df,
+    0xa25193b2, 0x5a9f68e2, 0x72513062, 0xe43eef26, 0xb014e291, 0x9e5e5f9b, 0x6f245d2f, 0x9c7035cd,
+    0x4a1456da, 0xa6f6707e, 0x31da1c20, 0x2673d753, 0xdeb7f28f, 0xacacee85, 0x67484368, 0xe800515a,
+    0xacda0b0a, 0x95145f6b, 0xad955e8c, 0x396ccc30, 0xc771a024, 0xa27137bf, 0x979083e1, 0x5b7f9904,
+    0xe72fa2db, 0xc96d2dfe, 0x4bd8a294, 0xd20cf522, 0x6a2a164c, 0x46ba640c, 0x9f95ac15, 0x4a965cb0,
+    0xa7070106, 0x46cee7e6, 0x7ff6e787, 0xf31221e6, 0x9f2edbe3, 0x83d458b7, 0x89d909b5, 0x380550be,
+    0x1bc120b1, 0xe878a7e7, 0x6a0baeca, 0xd51489d0, 0xde919180, 0x383c47fc, 0xeb25330a, 0xda4d9751,
+    0x00000000,
+    0x3aa01c83, 0x024b3269, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000001496577676626844588240573268701473812127674924007424 */
+  { 0x00000000,
+    0xa4de7816, 0x11eff50a, 0x53792ca3, 0xc8698286, 0x95723d62, 0xa606aea3, 0xbef53cda, 0x7ebb416b,
+    0xf8027d43, 0xcaae8915, 0x3879ba77, 0x9ef147c9, 0x3b82c8d2, 0x6a4198fa, 0xb1f69075, 0x3806af71,
+    0xbec0dae5, 0x9ac6e835, 0xcd1e5671, 0xef15814a, 0x33bcf3a6, 0x0c408128, 0x728b59d4, 0xcaa1252f,
+    0xb46c80f5, 0x403eebb7, 0xef30bb78, 0x8d7af025, 0x4fed3538, 0x337ff3cd, 0x647ffdcb, 0x7cb3b802,
+    0xaf041128, 0xdeaa3a73, 0xa0c5e761, 0x8ecfa5ab, 0xc8897d24, 0x18b072b9, 0x1eb8eed6, 0x3bb8a834,
+    0x9bf7df55, 0x4f96ea48, 0x5bdccfde, 0x1a96e064, 0xefe6f894, 0x09503bf1, 0xa5418b5b, 0x400aa32c,
+    0x453e53ed, 0xe78c38bf, 0xcb366999, 0xf2cda644, 0xb3329cfc, 0xb6e8fd63, 0x61ba5335, 0x4be9ab73,
+    0x852ef722, 0xcf496833, 0x0f021e48, 0xed281792, 0xecf0ce10, 0x106e6aa8, 0xa644c20e, 0x674fec94,
+    0xfcf62c7f, 0x6d9a6ba0, 0x5b2eeaca, 0x972bfb55, 0xf493ccde, 0xfb141ccc, 0x40d02770, 0xab6af30b,
+    0x35c347d3, 0x2e7e08c8, 0x0a4da5dc, 0x0903eca3, 0x78add9fa, 0xb5bef76a, 0xa9602dc4, 0x5de23d00,
+    0x25fce02e, 0x03d18bcf, 0x5ec16820, 0x0c7195f1, 0xc7515101, 0x85907a8b, 0x5016a8b0, 0x59925083,
+    0x54847340, 0xd58d142d, 0x871e57b7, 0x8503b0ed, 0x59904b77, 0xa73895c2, 0xd12b2469, 0xaa362311,
+    0x7d9994bd, 0xbea68e9d, 0xaad5599c, 0xe8304467, 0xa567f18a, 0xbef0996a, 0x90f639c3, 0x7b760211,
+    0x35e42af8, 0xf0ef2cb8, 0xfcf113e1, 0xa738d589, 0x957be6f4, 0x88997525, 0x9f98ea4a, 0x83a2d542,
+    0x8d8cd808, 0x03c70635, 0x77d5ba4c, 0x4ce3e97b, 0x18f4e466, 0x0e2a4d9b, 0xefd7f1d1, 0x2b7d4586,
+    0x8efac91b, 0xe23582b9, 0x548e5a90, 0x32b1126a, 0x8cf5ba6e, 0xa7ed00d7, 0xb5454afa, 0x66bd2502,
+    0xba47d155, 0x99709010, 0xa166f3b9, 0xca6d398c, 0x27aa529c, 0x8bebc252, 0x4b1be1f7, 0xec3c61a8,
+    0xf6ecbe92, 0x51016e7c, 0xf43457f0, 0x4d297414, 0x7f393a1d, 0x9cf14ea0, 0x18a07145, 0x474c8261,
+    0x6ab8f255, 0x4d1019ac, 0xebebbb82, 0x6ce99ded, 0xd6de577b, 0x8160c694, 0x00d3e9f1, 0x30743f65,
+    0x26692c6c, 0x120ca152, 0x18db9da6, 0xb4174615, 0xfb547130, 0x9c093c5e, 0xdc64e99f, 0x4ad12255,
+    0xa105dbd1, 0x2cecf8d1, 0xeaa7973d, 0xb84883ee, 0x6b4de635, 0x1a4bd447, 0xf118ac8d, 0x93d6e84a,
+    0x7c09e80d, 0xb3810da3, 0x4e08a506, 0x5c5b5eb7, 0xc50079e9, 0xd293b8ae, 0x1dd9adf6, 0xe08a964a,
+    0x5643a7fa, 0x64469b70, 0x06126124, 0xdc6aff38, 0x300055da, 0x171d2d01, 0x075ca50b, 0xa46f0700,
+    0x35396930, 0x8943bf07, 0x581e9df1, 0xdfabbeb5, 0x573c8c96, 0x0b0a9cc4, 0x59bb7378, 0x454e7dc0,
+    0xfc25cf42, 0x658a68d0, 0xdb3b3ce0, 0xa112217d, 0x05a1402b, 0x3d62a711, 0xb0a8df5e, 0xd2d97106,
+    0x8232a8c2, 0x6e26d136, 0x9a3caf86, 0x8143d893, 0xbff13963, 0x9fd48b96, 0x7a44c274, 0x5f48bff4,
+    0x6dabcd4d, 0xa6e82dd2, 0x28652cd8, 0x3b40fd57, 0x4974b5f2, 0xf608ce79, 0x5a5e606d, 0xc8889368,
+    0xb0a3512a, 0x96a5663f, 0x93d53d67, 0x613c84c4, 0x18743c8e, 0xd2ba2665, 0x627736ad, 0x142f24ea,
+    0x4d82ec57, 0x656a414e, 0x3d7a016a, 0x85350bb9, 0xaa563bd8, 0x64cbebc9, 0x09907d63, 0x53643612,
+    0x380b0b4e, 0x5ab6d193, 0xca41c3ba, 0xaf3e69c1, 0xfed70ae9, 0xa1866b26, 0x68288df5, 0xf9ce592e,
+    0xf9533009, 0x8ac7f41d, 0xa70c4e8f, 0x92b3c307, 0x39c4e594, 0x4256a741, 0xfba720f0, 0x18bc0950,
+    0x483cb0f6, 0x437478bf, 0xb938e426, 0xcd81742a, 0xeff24386, 0x6d649d4e, 0xd429df41, 0x507bc7a6,
+    0x41ac3128, 0x023e3a74, 0xf87f789d, 0xa68f6a0e, 0xc5c5a519, 0x11c2bff8, 0x34b17860, 0xe16db87f,
+    0x67568b39, 0x12fd44da, 0x23f8a839, 0x09f64b47, 0x3a59062f, 0xcc39ea36, 0xa50bf498, 0xe5499225,
+    0x870650ac, 0x596940f2, 0xb92cd793, 0xf3719c34, 0x92f64fba, 0x0d50c8be, 0x08313018, 0x8a92bac4,
+    0x2036aa21, 0x763d5599, 0x8b11fa53, 0x70d4770d, 0x4c36571a, 0xb15a2acc, 0xeb95492b, 0x047323f9,
+    0xf7640d70, 0x94d59177, 0xa8a6c137, 0xd0c207f0, 0x4c96f476, 0x172be8dd, 0x31bfcdb1, 0xe57d1893,
+    0x74b3b83f, 0xb0ba0811, 0x1c5db8d5, 0x3731c64e, 0x22536a51, 0xff3a311a, 0xc18379f8, 0x117b6a0c,
+    0x0690f72b, 0x9ed41d3e, 0x3a6887be, 0x313b562b, 0xdbaf10e6, 0x6ecabbfc, 0xdfc5aaf2, 0xb5896b8f,
+    0xf734f61b, 0xc81336c0, 0x1dffa8fb, 0xa706966f, 0xf7da815d, 0x5fd2dce9, 0x3b85e5c0, 0x425cbac4,
+    0xa65acfb4, 0x63d809d7, 0x918c98b0, 0x5f163d18, 0x926b493d, 0xa34db535, 0x4b35dcb3, 0x646d0de9,
+    0xcb347538, 0x5a77e179, 0x40ef2c67, 0xe968c9a8, 0x08f97ead, 0x654e588b, 0xc3b30945, 0x08d16ed6,
+    0x9ae0fc0e, 0x2b1cb807, 0xfeb619e8, 0x65b42110, 0xbc0598cc, 0x1bf20e8d, 0x3f3d90f3, 0x1ba42359,
+    0xae8aecb3, 0x5ca02adb, 0xe07ba1d0, 0xc623ab3c, 0x01c24110, 0x40254490, 0x298863cb, 0xef032069,
+    0xac284005, 0xc1223215, 0x893a1f09, 0x62047bec, 0xedaddab5, 0x69b3780c, 0x96d29c37, 0xae1d4436,
+    0x65275c2b, 0x29cfec2b, 0xc48c33bd, 0x08007d47, 0x509a9a0a, 0x63bac915, 0x7944464f, 0x52c4c603,
+    0x86373619, 0x8898d2c7, 0x4e921c84, 0x7751c24a, 0x4e4abbbb, 0x42a326b4, 0x6691b38b, 0xfff0fea5,
+    0x58401655, 0x4a050414, 0x6fe1b5c4, 0x3f8f7df0, 0x173db8ce, 0x64db9554, 0xcc0d5f46, 0x272c5f94,
+    0xd622e945, 0x97b020a1, 0xbb31ae8d, 0x83f861cf, 0x47c9a9ee, 0x13b9ee6b, 0xd7ef08aa, 0x80252da7,
+    0x4ce5aa42, 0x9cfc7dfa, 0x05bf10cf, 0x32d3d175, 0xd8f7ade6, 0x6dc945c4, 0x5d0d8af0, 0x659763eb,
+    0xcbce12c0, 0x1d48886f, 0xaf86dc39, 0x19a50612, 0x63555170, 0x6f4b5f93, 0xcf53b2c4, 0x940031e5,
+    0x49710adb, 0xd519ab74, 0xcce44c16, 0x2c0e1dfb, 0x02634e6d, 0xf759480b, 0xdc300618, 0xa01d925c,
+    0xb78b1ed0, 0x842c6e92, 0xe4817561, 0x0e9f4d55, 0x6c5b3ad1, 0xb7b7e312, 0xfdee6dc1, 0xbe3992e8,
+    0xb95d9537, 0x4fdd1dfd, 0x7f8ab2d0, 0x0d93eb6e, 0xa0c5b29e, 0xb0af1f3f, 0x4f0961fa, 0x3c728cb5,
+    0x113f4813, 0x697a920d, 0x479c41f3, 0xd1a9762b, 0x7c5d0938, 0x624164b9, 0xd8d26be1, 0x6cb1564e,
+    0xcaadd3da, 0xe1614055, 0xe9e9fef0, 0x118a0843, 0xc6b013fd, 0xe3a5e3a7, 0x41029032, 0x9d568d4f,
+    0xf8cbf4d3, 0x53d5c9f0, 0x2fa2d1cb, 0x162d296f, 0xb3761403, 0x47fe3bb0, 0x0e63632f, 0x14bbe01e,
+    0x233a2143, 0xe1e33c51, 0x8d1a7bdf, 0x0c38ffbd, 0x5829e2e3, 0x6a3c536e, 0xbc1e0620, 0xbb3fd21c,
+    0x36def411, 0x7e034b42, 0xa9cd9c19, 0x0024e0b1, 0xca278e6e, 0x18e85a34, 0x1364c9e2, 0xf6d9a0f2,
+    0xb38bcbb3, 0x7a03b9c2, 0x8f8788ce, 0xd0cc019e, 0x473afbb8, 0x7df25985, 0xd2d5a73f, 0xa1cb1723,
+    0x7cbeeaf3, 0x4d4ae328, 0x181d092b, 0x7c4ca1bd, 0xf825d38a, 0x48c634bc, 0x5be0a815, 0x2cd44974,
+    0xb5d23a90, 0x64259b3c, 0x72e7d189, 0x07d7fa76, 0x88074d75, 0x3889800b, 0x67b5caa8, 0x4a18a1e7,
+    0x4b4178a1, 0xc2fdf60d, 0x4c6422ba, 0xbfbc7e7f, 0xd37c70e8, 0x7e6a4188, 0x9fd87676, 0x8ef9478d,
+    0x97e221c8, 0x1e3adb66, 0x21486e35, 0x57b372ec, 0x18b5c73a, 0x9c7729c5, 0x110b08b7, 0x728fc0da,
+    0xe7a8230a, 0x51ef68c8, 0x31f57f5a, 0xa08e3526, 0xc8e3c91b, 0x29fd249b, 0x92bd903a, 0xb8892902,
+    0x0872727f, 0xf8971fba, 0xd69ace3b, 0x22709716, 0xb13ab24c, 0xd6edc2c0, 0x71e13fe4, 0x8f2adc8c,
+    0x8522ee3b, 0xa7a8480c, 0xdd0dbb75, 0xef2a2f0a, 0xab9c9357, 0x66eae825, 0x397e2504, 0x1a5e0d3b,
+    0x03ceb883, 0xad673997, 0x18f73a13, 0xae49f7d3, 0x7bbe8b03, 0x9f8c548e, 0x94d7e376, 0x89cc17e6,
+    0x26c55db6, 0xc13430eb, 0x43e86e0e, 0xb81cd891, 0xb2c405d9, 0x02724e31, 0xa91897a6, 0x746f923e,
+    0x4f0db2c1, 0xd961248b, 0xa900ab3d, 0x3f2de89f, 0xe198d098, 0x0ae2335f, 0xf788506d, 0x3c83aa19,
+    0xaea3d086, 0x98efb224, 0x3ab71971, 0x7242b00d, 0xa865f534, 0xaebeadd7, 0xcd7794ad, 0xf0ff3187,
+    0x927f0c1a, 0x45d0a284, 0x2f3b0e8f, 0xa828b4ee, 0xd5aeb420, 0x3ed98b1d, 0x7a333eb8, 0xb10a42ee,
+    0xdb8a6856, 0x3d2956ac, 0x67228ee1, 0x08de2061, 0xaa50de1d, 0x9a25d2b2, 0x1f81da1a, 0xd7b139d1,
+    0x604961d7, 0x9a2762ac, 0xe381cbd9, 0x35b694a3, 0xd782daea, 0xb01f8477, 0x5ee56587, 0xc08d7f59,
+    0x9361de2d, 0x63a8856c, 0xef069130, 0x005efa78, 0x37417463, 0x6b4fa51a, 0xee4ccfbd, 0x8b3bf25a,
+    0xdf159eee, 0xf7dd6c5a, 0x2c763506, 0xae828cbd, 0x3f866907, 0x2761fac6, 0xa0b6bd5d, 0x904ab8ff,
+    0x953622dc, 0x36de8d26, 0xdfb4945d, 0x10547609, 0x5726846c, 0xe70df2ae, 0x88f9b606, 0x637a34c3,
+    0x2f85bed4, 0xdaa7cdef, 0x6024009a, 0x846e5f5a, 0x881bdab3, 0x6e6fea52, 0x90c29ad8, 0xb5bf0da0,
+    0x8743d54e, 0xeb9e0777, 0x7ff1621b, 0xf6b8ab72, 0x899bf371, 0xd7107b90, 0xed97e37c, 0x8891d86a,
+    0xca14b1c0, 0x8182679b, 0x2059c34c, 0xea396e38, 0xb6ef3b98, 0x68fbb043, 0x85c4176a, 0xd44ab2ec,
+    0xb25889ad, 0x782686e5, 0x792d4736, 0x9cda96cc, 0xc94d0a5c, 0xc1ee7df3, 0x116e0811, 0x4f24040a,
+    0xb32ffe7d, 0x68dfd203, 0x63d41d22, 0xbabdcd3f, 0xcd55f33c, 0x392c7d99, 0xb448f57f, 0xaffb5e25,
+    0xea67fe3c, 0x2a2119ee, 0x9d8e7245, 0xf4a04ed0, 0x906b1853, 0x4fedd023, 0x89ab9cf3, 0x0b9b9f5b,
+    0xbf856860, 0xaf07212f, 0x1b35ec07, 0xa84f0255, 0xb33e97da, 0x9a50e061, 0xa7fc8bb7, 0x059f8393,
+    0x06e0cf73, 0x9d0f4832, 0x174fbd21, 0x787f74e2, 0xa268ab79, 0xee2908a5, 0x2f0ed3ae, 0x3f3b83e9,
+    0xee79ebab, 0xa2aa8050, 0x9c7b1ec5, 0xeb433575, 0xcbd2f3a4, 0x0a6a6aee, 0xccabbdcf, 0x98ca4ef5,
+    0xee854531, 0xa906c4be, 0x8550c34c, 0x2ada6fab, 0x62cf8bdc, 0x483f95b9, 0x39d9dbc9, 0x9f3aecaa,
+    0xa679bab6, 0x51bb97c2, 0x1acb9c0d, 0x26c4df10, 0x9f6b6d65, 0xfe7bcf5f, 0xdacbd8a7, 0x077ae345,
+    0x742f2653, 0x54325c5a, 0xc6c7c360, 0x56f6a9c8, 0x63a7002e, 0xeb96e03a, 0x3eeca185, 0xb10c43fa,
+    0x25dfcfce, 0xa4e235b1, 0x4af9bb52, 0x08521bfc, 0xf4acc2ae, 0x8d0b8ef6, 0x37e8277f, 0x5bfaf805,
+    0xe66bbfb0, 0xd7c692fb, 0x28645b34, 0x81cdd0cc, 0x32ddba15, 0x3275df44, 0xba3c7426, 0xd0f37d16,
+    0xebfab140, 0xc03b3173, 0x65d2a029, 0xabca9e45, 0x9043b9e0, 0xf0e20f16, 0xfae4a545, 0xdc288c87,
+    0x712904fb, 0xedb3babe, 0x5b49b324, 0x07feb7da, 0xbc80ad21, 0xc49c132f, 0xc8f13e4a, 0xcd31ecbc,
+    0xbcd27e8b, 0x9db89eb0, 0x3fe13def, 0xf65acc4b, 0xa35653ee, 0x42168fde, 0x5ef85e66, 0x8fc4c3e4,
+    0x066ad6f0, 0xe7d8d56d, 0xfa749a4f, 0x7dceb258, 0xfac5829f, 0x168c874b, 0x96bae6e2, 0x2d6d94be,
+    0x3cb9eca5, 0x55a7ffeb, 0x3ca54bd7, 0x3533510d, 0x98475c7a, 0x6910a7f0, 0x1b330c2f, 0x2805c538,
+    0xcc2a1c7a, 0xd8d1a31a, 0x705f9657, 0xeba48172, 0xcefa06e5, 0xc39c5fac, 0x173e1fcd, 0x38221031,
+    0x46b281a3, 0x2863e547, 0xf21c04d8, 0x4794bcc2, 0xe783c9af, 0x567bb087, 0xa1cd3bdd, 0x95dc9d00,
+    0xfb613495, 0x2a98e3bc, 0x46bfeff2, 0x1ce2a2a0, 0xab6811af, 0xd3efdffb, 0x75462a3d, 0xd512c287,
+    0xb5ac2a78, 0x00d36c46, 0x12a52cf0, 0x95c555b2, 0xe560c831, 0x0023f6a0, 0x9ac87f76, 0xdeaa010d,
+    0x654325c6, 0xc0de5cbf, 0x94a3d9ef, 0xfa88c2a6, 0x19d3ce31, 0x6d3719f6, 0x6fd0db20, 0x5b9e8ee9,
+    0xbc2d29e9, 0xa9741142, 0x0920c7cb, 0xb56fa541, 0x776b57de, 0xace7279b, 0xe2eeb160, 0x5da0b6d4,
+    0x0e5fb6aa, 0xdb4e59f5, 0xbac75101, 0x2354dda0, 0x62d8e9e2, 0x34b2e853, 0xafd2a3a1, 0x82caf443,
+    0x9a7779fe, 0x6b79c7c0, 0x2625abdd, 0xbd5103a3, 0x0c82ff6d, 0xdaa8ab0e, 0xd4ee67a9, 0x4dbae8ee,
+    0x0f77ecc1, 0x1b5c8f42, 0x9a0ba4de, 0x3c3c3b71, 0x25a05d6b, 0x5a4779d0, 0x6713fa84, 0x428c2b11,
+    0xd333fb88, 0xae5b114f, 0x5d94c151, 0xd7ea9d5e, 0x2abbf007, 0x3fc32257, 0x955390d4, 0xeeb6ea51,
+    0xa316b819, 0xdb3741c5, 0x99e2e3f3, 0x7a008e6d, 0x1892770b, 0xc14cfbae, 0xb9debbe1, 0xdc9deaa8,
+    0x14a7f479, 0xd1cfe6e5, 0xad5c06d8, 0x3abc1ed4, 0xd28e5e22, 0xeb568fb8, 0xfa018dbf, 0x205a7b7a,
+    0xf4600228, 0x5b14385d, 0xdc3e4f91, 0x4ae1cab7, 0x235f9520, 0x590e8c25, 0x35332dd0, 0x0c19a29a,
+    0xc499f570, 0x40ad5e1f, 0x8f0f6879, 0x67cc9806, 0xa67f2dda, 0xd81317e9, 0x64f3a954, 0x78f469ca,
+    0xdf6e0628, 0x6b89e300, 0xc1324cb8, 0x9e9ce427, 0x368e20a8, 0xa7f026d8, 0x73931a90, 0x75f40ff1,
+    0xd2b51290, 0x99f60779, 0xe731b57e, 0xc26f1806, 0xc62498da, 0xc6442b6d, 0x1104d986, 0xc213eec4,
+    0x7f28ebcc, 0x303e514f, 0xa6956b11, 0xe7e26e7a, 0x837825db, 0x1d698e4d, 0xda24f07c, 0xf65d2657,
+    0x1c79c162, 0x91bf4872, 0x9432e321, 0x4733c046, 0x8a7dc3e1, 0x6952c0c3, 0x77e8ce42, 0xf710aac3,
+    0xe45bfca1, 0x5d067c95, 0x6ae11f9d, 0x07fc5754, 0x412e0469, 0x9c5a37f2, 0xacde3544, 0x5b4612aa,
+    0x8970e231, 0x73645d7d, 0x02303801, 0xe5ac71f0, 0xef1db58f, 0xecdc3d47, 0xf7996509, 0xa6d3acd9,
+    0xb5195dc1, 0x9aa3e0b5, 0x2f9e4c51, 0x5ed812fd, 0x43139093, 0x80e40552, 0xff3e897d, 0x6a0fdbb1,
+    0xb23c5647, 0x6f4bc11f, 0x5aefee7b, 0x0e54268a, 0xf31eebdc, 0x6e7e09c8, 0x75df2d77, 0xfbe2df50,
+    0x7b2afd6e, 0x97640b75, 0x3cb5a3e4, 0x4e624435, 0xfc2e12b3, 0xb3037005, 0xf807503b, 0xffd063d9,
+    0x824faf20, 0x9aa8718b, 0x0bd67f50, 0x9c7c3cbf, 0x48ec2db4, 0x1a5c788d, 0x2301a175, 0x3bb31058,
+    0x23aec125, 0x0e75e440, 0x4d74ca36, 0xd2aaf1fa, 0xfe2e0863, 0x5de93a92, 0x4a4938c5, 0x84a1a191,
+    0xf89bc19f, 0xd7b16b5e, 0x884368ea, 0x2337b38c, 0xeb412cff, 0xb0bd2aae, 0x1a9bbcc6, 0x248bbcee,
+    0x1e9ac616, 0x544156e5, 0x4ef701aa, 0x3e571518, 0x231eeaf1, 0xa3f0ce17, 0x3e46e26f, 0x17afbb8f,
+    0x32732efa, 0x118a54fa, 0xa17f0117, 0xc38da829, 0xbd275930, 0x81119137, 0xc474b7b9, 0x5bfd3793,
+    0x1bb1ab2b, 0xff567041, 0x83005cc7, 0x69be8ca9, 0x741db8f0, 0xd02b39e7, 0x39aca389, 0xd3557cb2,
+    0xa04c2865, 0x40bb4788, 0x262d9e84, 0xd42d16e6, 0xcdbec5c9, 0x3ab34b10, 0x450240ba, 0xa7293670,
+    0x00000000,
+    0x9d500e41, 0x81259934, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000748288838313422294120286634350736906063837462003712 */
+  { 0x00000000,
+    0x5eea5c81, 0xad4fb524, 0x933e68cc, 0xabef1008, 0x552d4bbe, 0x70132424, 0x5a0c7db3, 0xbe098de2,
+    0xe5fa091c, 0xf1931735, 0xf025191c, 0x8e674034, 0xe7bc7779, 0x88b3db9b, 0x426b1e96, 0xcf20afad,
+    0xc7d6835a, 0x18319350, 0xf2160d30, 0xeb602ebb, 0x950e2695, 0xbed10413, 0x01c820cc, 0x46160a5e,
+    0x7b42ce4a, 0x4d27d54c, 0x0a271c69, 0xdd3ee960, 0x02caed91, 0xb253e94d, 0x7fed17f8, 0x49004f06,
+    0xa949a035, 0xe57d3861, 0x55d5a7b0, 0xb451e8f8, 0xf627f6c4, 0xe5997c1c, 0xe8eea4de, 0x43ed461d,
+    0xa237aaeb, 0xbfb83213, 0x974b1bf0, 0x69b26559, 0xeb99bd6c, 0xc2030260, 0x5c9fa53f, 0x9253d589,
+    0x297be8ac, 0xae44c9df, 0x310e514e, 0x7a8182e0, 0x621b14a9, 0x2e951b9c, 0x5c47f363, 0xcf090b83,
+    0x63e0a42a, 0xf4fccdbc, 0x0b7de795, 0xbd2c940b, 0xcbaa2788, 0x4304bced, 0xf1366fa7, 0x2e6f2da2,
+    0x5369cf2a, 0x51d380ec, 0x3c48fecc, 0x2424c411, 0xbe551613, 0x3897a3bb, 0x51f2552b, 0xbe844754,
+    0x38f62bb5, 0x6b4c07b6, 0x6160ab4c, 0x31f0de13, 0x700a42c9, 0x3662427a, 0x75a0084b, 0x742ca5e6,
+    0x54009756, 0x7d79c340, 0xf347572d, 0xd657807d, 0x7bca5a1a, 0xfa293ad2, 0xfaa03352, 0x23d27a48,
+    0x8530a6a7, 0x985022c1, 0xc4208ff4, 0xecff1a96, 0xea4d4d07, 0x907bc397, 0xb0d3a447, 0x65475d84,
+    0xb2f848f9, 0x980a3835, 0xdbd46df1, 0x95965594, 0x8547a445, 0xed45eaf8, 0x41b5ae6e, 0x3c67550d,
+    0x1bb425f4, 0xdc48e591, 0x7e47ae5a, 0xdc172000, 0x137a028d, 0xcf73eec5, 0x2bce6dac, 0x4723e2b3,
+    0x148dd8d1, 0x9cfb9f82, 0xb759b2eb, 0x0ad7e3b3, 0xf3671ae8, 0x1d406667, 0x5af2ff82, 0x8866e2c0,
+    0x9b9a5afa, 0x9de4a3d4, 0x6dae461e, 0x0fa46944, 0xbde26eee, 0x8eda007f, 0xc13e7283, 0xef6cf0ed,
+    0xd19e3fc8, 0xe5f526bf, 0x4067a28c, 0x1c3246b7, 0xcca62050, 0x81bb0257, 0x798b1bf4, 0x4eeac7ff,
+    0xb8901735, 0x4b87f3b5, 0x58082bae, 0x5290f46e, 0x0102cb70, 0x2375b2b9, 0x93d64b2b, 0x9e47508e,
+    0x3cce8c37, 0x973f9a60, 0x76b68367, 0x276c6a7e, 0xe785c90d, 0x0e215d29, 0x64fc5fae, 0xc2ae7468,
+    0xf4cf1ed9, 0xd278f14d, 0x184d5538, 0x5867d9c6, 0xc935140e, 0xb0065e7b, 0x3d2a9958, 0x31bc3c4e,
+    0x26bc3a49, 0x7332ea04, 0xb842b101, 0x68689f65, 0x506a2eb9, 0x7fc38abd, 0x808f60ff, 0x35a04056,
+    0xe2638ec9, 0xdba3f591, 0x0f5e4257, 0xd26227a6, 0x02d3fda9, 0x71d47943, 0x09030d03, 0x11c1e720,
+    0xc55094cb, 0xab81bb65, 0xd9273e54, 0x8b4539ce, 0x31cdd6cb, 0x42aea9bd, 0xee7acb78, 0x8f5ff2ed,
+    0x6bd06a6a, 0xa83300b6, 0x1585ca5a, 0x9a820f1e, 0x5abe56c5, 0xd27c86d4, 0x33f6679a, 0xed3a5030,
+    0x77cb00b9, 0xe09747cf, 0x20ccb052, 0x81e60aca, 0xce4429bd, 0xcd88a53e, 0x603e0a87, 0xe5c7f242,
+    0xc89fd74f, 0x2f463aad, 0x4c6a98c3, 0x775c3034, 0xbd378b84, 0xf8af686f, 0xa46b3df9, 0x7b83c2c2,
+    0x302e082a, 0x062e3d81, 0x76c0462a, 0x86c7d3ca, 0xaa8c4e2c, 0x1d614846, 0xdec962b7, 0x7fb85219,
+    0xd9c2d75a, 0x14b4ac47, 0x2d83498d, 0x0576e084, 0x3c0aa09a, 0x7a13484d, 0xa2513722, 0x01ce1677,
+    0xc51039d0, 0x555c29ec, 0x4e8fbf20, 0xfc65906e, 0x43541836, 0xdfbdd3e6, 0x73f60814, 0xf640964c,
+    0x649df00f, 0x4a165e61, 0x6ba6bb8a, 0x9eaf727f, 0x0822fccc, 0x3c09884d, 0xa5023140, 0xda8008eb,
+    0x013a76fb, 0xe749b4d3, 0x76475878, 0x1b372a1d, 0xe2e78dbd, 0x7a107b4c, 0xb9835d4e, 0x7637f4ba,
+    0x3e6fe260, 0x9c4ea085, 0x1714833e, 0x6ecce200, 0x1da4934e, 0xe33e5f95, 0x4d43a8cb, 0x908a96cf,
+    0x448f1e6d, 0xefea5c52, 0xdc75be64, 0x10b1ce09, 0x714522e6, 0x2c491fa6, 0xd02a4c0b, 0x8a5484f2,
+    0x3d1d123e, 0xecaef6dd, 0x499dde28, 0xfe482562, 0xb6335a00, 0xbf617a4c, 0x67b05cd9, 0xd745ef73,
+    0xe8fe314f, 0xf2a07eba, 0x6c64de4f, 0xee5a6fbd, 0x0db06d3d, 0xe50a31a1, 0xd52a7160, 0xc83fe5e1,
+    0xc1051a96, 0x6b31be0c, 0xdb94ba33, 0xb6dc3ff9, 0x07930b77, 0xfcd6e1c5, 0x12f2107f, 0xe1d5480e,
+    0xea858034, 0xe41ab7d4, 0x6956b2a9, 0x85e8f3e9, 0x05565848, 0xc89ec84a, 0x9f327c8c, 0x8e0a17bb,
+    0x307fd197, 0x1ce2caab, 0x5b2546a9, 0xc456f554, 0x79271efa, 0x0417ccf6, 0xc4690972, 0x476fc96e,
+    0x4221a6a8, 0xe5953553, 0xe8ff18c9, 0xb2f9727a, 0xae1823d7, 0xa7640c2e, 0xf11c64a9, 0xe962bab7,
+    0x5a4bb65c, 0x02a2b7fc, 0x1209a1de, 0xbc8728cf, 0xaa0a20c6, 0xe34a0f88, 0x3c7d997a, 0x76352b79,
+    0x73a41eb0, 0x7ddcfaa9, 0x85206f60, 0x56515aa8, 0xe4cf8d05, 0xa85ffcc8, 0x6e244fb5, 0x4f3f5b0f,
+    0xac2899a2, 0x67481af3, 0x90a1d9e3, 0xd5aca7f7, 0xdff5b82f, 0x792cec2c, 0x72cad11c, 0xd1253750,
+    0x038e8bae, 0x6e5a7215, 0xf9b0c0d9, 0xc6eea2d6, 0xf1800613, 0xe1eca571, 0x491f395e, 0xfe28087a,
+    0xa59daa8f, 0xb98d1ae0, 0x6a637be2, 0x3f5370a5, 0x79dd23b4, 0x24fad070, 0x62651921, 0x72da80e0,
+    0x98cbbc7d, 0x68b05079, 0x9b3d572e, 0x03515ee1, 0xb019e006, 0xaf1f3236, 0xba0cb08a, 0xecc4a69c,
+    0x692653ab, 0x95ee7924, 0x30fd169a, 0x3b207936, 0xd2d56ac6, 0x86ac7855, 0x674cf2f5, 0xa462d53c,
+    0xf043f244, 0xd96ed77e, 0x63785b3e, 0xc8766255, 0x2b681c8e, 0x865ab781, 0x378e0aba, 0xd3d1cae9,
+    0xb0bbdf17, 0x53472be4, 0xd581ca39, 0x2860e503, 0x4e60dfea, 0xa62e3a05, 0xd58ab68c, 0xfb4f6269,
+    0x023393ff, 0x26bdc94f, 0x407b22a9, 0x2cac2c86, 0x0c0c7ce4, 0xfa7e8559, 0xb2510232, 0x676b648d,
+    0xf6032cd6, 0xa09de518, 0xec96064f, 0x97140a50, 0x263ca0f2, 0xf8d69dbf, 0xe10a6b1d, 0x7fd531ab,
+    0x8044435b, 0x8fe8a208, 0x5ef1e4cb, 0xfb047f37, 0xad52cdc6, 0xadc2b66d, 0x8f782cd9, 0xbacc2d0a,
+    0x67d430a9, 0xd667433b, 0x542c4302, 0xf7cf03dc, 0x0777a49c, 0xc4fa6bbe, 0xd2742497, 0x0da2e501,
+    0x054b4ba4, 0x5b75721c, 0xd29b167d, 0xe07c7f17, 0x32a7f9d3, 0x528ccdf9, 0xa400dafb, 0xe792a846,
+    0x7355c2ef, 0x43d5cbae, 0x61e6538d, 0xadf33bdd, 0xf6fb8cdc, 0x84728f03, 0x13f7e2ed, 0x7c3b9e05,
+    0xc82b26f4, 0xb5be6f80, 0x95371d7b, 0x6afeaff9, 0x9189b350, 0xb594a579, 0x0a013541, 0xebb5db48,
+    0xe30f1fcd, 0x3ece3249, 0xed69f0fa, 0x613e9d4d, 0x1bfec957, 0x586cfacc, 0xe3345602, 0x723caca1,
+    0x87b96385, 0xdd1028fe, 0x264bcf1e, 0x64dc6f9d, 0x9e573de5, 0xbccaea9a, 0x0516652e, 0x3f83d1c4,
+    0x87e8f27f, 0xb806af96, 0xd01888d8, 0x62e695ed, 0x3054b5c0, 0xc033dd73, 0xd1d865b4, 0xd1389f0c,
+    0xbdaa03b6, 0x5e4796a3, 0x901393f0, 0xde3cf4c4, 0xb32c79e5, 0xebcf46d5, 0x9a17a0d4, 0x80afd0ba,
+    0x6f99372d, 0x1332f753, 0x8e27286d, 0x553e57df, 0x36d02fc0, 0xb6e7dbfe, 0x68aa61b0, 0x872247ca,
+    0xc54598f7, 0xf154e276, 0x75ebd6ab, 0x68a8ac08, 0x68e2b879, 0x536beb70, 0xbf80871c, 0x58f61302,
+    0x16cb3144, 0x19cd9477, 0x87666fac, 0x5594cddf, 0xc0678947, 0x44a1fc4c, 0x991ae46f, 0x65c3faf6,
+    0x2cf027b2, 0xa3f14e03, 0xe5f36431, 0xb3989a8e, 0xeaae6c8c, 0x91990e5c, 0x89f912d6, 0xcf39764f,
+    0x1bb9de79, 0xc16b0cbe, 0x200afc85, 0x61cff4ae, 0x3b232c66, 0x2e962502, 0xbe219385, 0x9e3bf3ce,
+    0x07e95801, 0xd99519a7, 0x3a3fd6d2, 0xda841c8f, 0x332492b8, 0x33cbc600, 0xac939db8, 0x8a86af88,
+    0x58b144d3, 0x8952dfa2, 0x3c899989, 0x09ffc199, 0x4e3885b3, 0x22cd00e7, 0xb99e5719, 0x6593f1e8,
+    0x09952b95, 0x6c52ab46, 0xfa776a5d, 0x34c392c0, 0xd2128c6e, 0xff194d4c, 0x33e589f2, 0x2c981b02,
+    0xf2d8adb1, 0x66a0edb6, 0x62a835d9, 0x73de341a, 0x6dc70cfc, 0x52106064, 0x9b4b7f44, 0x1523d450,
+    0xa6d5e983, 0x76775b4f, 0x944ecb33, 0xed8d8fb7, 0xf0172c3f, 0xc471ac83, 0xe8d3a838, 0x94b38072,
+    0x621bce5f, 0xe8997537, 0x6f3792d8, 0xafae69a2, 0xc092e517, 0x9aebab36, 0x49de4ca5, 0x89389690,
+    0xff8f74c9, 0xf57e8253, 0xce24bd2e, 0xcd1aee67, 0x3e1bca8c, 0xc88730ea, 0x012c91d4, 0xbc46381b,
+    0x7e6c0370, 0x0c3c58d7, 0x2ee16007, 0x586b86d8, 0x99b31942, 0x0cd48064, 0x207e0a18, 0x7b4de8fc,
+    0x0aab34f5, 0xe156b316, 0xc27b2527, 0x83f090fb, 0x1859ee9d, 0xbb081511, 0x341515c5, 0x07013597,
+    0x4d9b853c, 0xc980dee3, 0x6ff5b90c, 0xfce983c8, 0xcdc5eb71, 0x611bd641, 0x558ea4ff, 0xb39d8d75,
+    0x6fff8d2d, 0xf73a86d5, 0x394ce19a, 0x8b904f69, 0x38a1e979, 0x448c8c24, 0x06618f2f, 0xc104b8f7,
+    0xf641a7d6, 0xe89184e0, 0x140409cd, 0x05c209bd, 0xc89d8580, 0xaf684d70, 0x8b0a96fe, 0xbf1032c9,
+    0x00c90206, 0x5cee44e4, 0x419271fb, 0x5d971bc4, 0x6503c987, 0x4382876e, 0x7bef5d38, 0xd6642afa,
+    0x63bf7fc7, 0xeec78bb6, 0x778658d1, 0xc1d416dd, 0x8497d45e, 0x1f4dd9cb, 0x78da5a05, 0xc8c329f5,
+    0xe2b655ec, 0x16f3170f, 0xa27df7f3, 0xc0387bc9, 0x6a5e156d, 0xe6a2a095, 0xc8dc7d0e, 0x5398b186,
+    0x42aebd8a, 0x77bfdc88, 0xee6cf764, 0x4530b4de, 0xaddc82b5, 0x9cdadeac, 0xc33de978, 0x799f5657,
+    0x3ca7c693, 0xfc4e11e0, 0x00206d0d, 0x91e95910, 0xd2726bad, 0xbfeaa530, 0x10910c8f, 0x641e278f,
+    0x7452e3f1, 0x2821401c, 0xd8f6cb4e, 0x92152707, 0xe97c0053, 0x7ef311ca, 0xd9d0a325, 0x523aa6c8,
+    0xbde472f4, 0xa70b1afd, 0xfc71997b, 0xb4890b44, 0x2e754ec5, 0xf889c2c1, 0x1f5c678a, 0x27e80ab3,
+    0x26e89b7b, 0xa0b32303, 0xd2cbe64a, 0x1cb61d30, 0xd531561c, 0xdfb548e2, 0x7454031c, 0xd934e4be,
+    0xa71ec493, 0x3b2f132e, 0x450ff9e5, 0xf789f45f, 0x50c7aaba, 0xbfaeb348, 0x0d9efc11, 0xc0ff5ae1,
+    0xfbae33c9, 0x399e1458, 0xf5afa364, 0x957cc0dc, 0x8af4e110, 0x4875791f, 0xd5e5c53b, 0xbad381fa,
+    0xc49b3187, 0x9e88ad8e, 0xe9aa169e, 0x883b881f, 0x6fe10f84, 0x09b4a3f3, 0xac82b578, 0x395167e7,
+    0xbc917bf0, 0x1b0d14e2, 0xb0f239d9, 0x962839b5, 0xa576366b, 0xf7333d61, 0x63493e23, 0x59021f77,
+    0x201ce7c5, 0x9c64e71e, 0x03083325, 0x1182b5c1, 0x993868bb, 0x00d2cb10, 0xa821ca04, 0x437f760a,
+    0x8bec0d6c, 0xe48ed00e, 0x8f1fd7fb, 0x11938dc4, 0xa51350fb, 0xeb9a59b7, 0xeaa250d7, 0x4994f429,
+    0x8a42d7cf, 0xc7af41f1, 0xd2f10307, 0xc0bebee9, 0xeeefbe49, 0x45212bbd, 0x4d57dc59, 0x9dc4629f,
+    0xfead5717, 0x78575275, 0xfe42d710, 0x87e0bf62, 0xfbed787a, 0xada54bf4, 0xbc3a43e8, 0x07406e2e,
+    0xbbd04cd5, 0xc3cd92a5, 0xc5b3366c, 0x88e45534, 0x0fdbda74, 0x8b55a849, 0x6a6814f6, 0x6203a1d4,
+    0x3e4e1d7e, 0x5448224e, 0x1d2023b8, 0x9bddb869, 0x6dc9ba2b, 0x8345ec07, 0x1c73b5fd, 0xe2ab00ad,
+    0x209e4444, 0x70a414b0, 0xfdc811db, 0xe3ae91c1, 0x135c0ae3, 0x3ea71a7d, 0x7eb60709, 0x370bbe61,
+    0xdcfd3cc6, 0x0ba6dc90, 0xb4883724, 0x230ded49, 0xe61b11c2, 0x01fa0c6d, 0x1ec3858f, 0xe05b3566,
+    0x6c608214, 0xb43e6b57, 0x0cc0ecf8, 0x6ecc04f8, 0x1a1fa578, 0x8506ea27, 0xd12d443d, 0xb9d258a1,
+    0xc6c56102, 0x3f00addc, 0xedf718d3, 0x3d995d41, 0x540f8d88, 0x3a52e995, 0x2322d442, 0xd485c8fc,
+    0x28705509, 0xee67068f, 0x0663f90f, 0x65759a75, 0x17d2cf95, 0x0d1b06a3, 0x2085c3d1, 0x996b145b,
+    0x9eaa33bc, 0xe84293bd, 0x21ce4916, 0x7d02aad7, 0x4fdaa371, 0xdca38eb0, 0xaa6d77b8, 0x95377a2a,
+    0xa2bff3e9, 0x1dda6acd, 0xbb91e7b9, 0x2486207d, 0x645bbed6, 0xce01173a, 0x7fdf1a1d, 0x3fe0a165,
+    0x18019f99, 0x46e77fca, 0x87c13dad, 0x45e0c685, 0x3d08d5e9, 0x7d085b7c, 0x3300ecf4, 0x056df75a,
+    0xfbeb7dce, 0xb94a150c, 0x9a12703c, 0x51338602, 0x8a4e7c26, 0xe4033029, 0x8d1b332b, 0x234cbe60,
+    0xea198cad, 0xc1ca3c86, 0x2782172b, 0x118f2c36, 0x046e602c, 0x0dde8baf, 0xcb3ee610, 0x1eaad83e,
+    0xe5ad28a5, 0x72b91e09, 0x70ac9517, 0x2899b4aa, 0xf5085c92, 0xe615a24c, 0x101a53ca, 0xdbd67f67,
+    0x729d8dbf, 0x9c86b49b, 0xc09f909f, 0xd229b85e, 0xfc7b4773, 0x5103849d, 0x5eb76fa5, 0x52da4504,
+    0x72142a71, 0x214fc1fa, 0x8de9fe2b, 0x4003db60, 0xc454ee92, 0x40f4a363, 0x1a49c344, 0x8563c6e0,
+    0x9f1e5568, 0x8a721b55, 0xccf14313, 0xf0d59baf, 0x22e6ede3, 0xe130ba0c, 0xefc3b77f, 0x06e8b6c7,
+    0x874d168f, 0x0d3abe6e, 0xd3a174b3, 0x966c68df, 0xbc4c8cad, 0xeb36fbf3, 0xe3aa8118, 0xa814b6d5,
+    0x1dc32726, 0xd6975589, 0x32ba7594, 0x353c6ae6, 0xed69f95a, 0xefafebe5, 0x38a194c2, 0x3ff4debc,
+    0xea0e9e07, 0xf1401a26, 0xc88d2f03, 0x2faad0f6, 0xf70d5366, 0x8b54eaa3, 0x58de3201, 0xa5c51864,
+    0x516566fc, 0x28a062fe, 0xae40aa84, 0x34fedcc2, 0x30d402d0, 0x61d47634, 0x64988f41, 0xdd2b228f,
+    0x8474dc32, 0x54a00791, 0x36a7fe2f, 0xf074eaaf, 0xc45e3643, 0x2be1de19, 0x719cca21, 0xf34aa0ae,
+    0x70928096, 0xab6995e3, 0xb8c8064a, 0xf00918d8, 0x48d99e4c, 0xc1953680, 0x63a220a8, 0x94a31a69,
+    0x0c6bc643, 0xa45751d6, 0xe97425d9, 0x256fce02, 0x1e6d2dba, 0xd0fd9561, 0xe24a0d5f, 0x5ea40405,
+    0x3c7db90d, 0x0ad17f1e, 0xbbd7b840, 0x8883c9d9, 0x93324881, 0xae993d43, 0x33c615d8, 0x0d691d0c,
+    0x8585056d, 0x148ab97b, 0x1bb86ca4, 0xb1acc40f, 0x8f33c727, 0x6eaa753b, 0x4096dc09, 0xe686471e,
+    0xb50c61d8, 0x6208e637, 0x0a9f0ec8, 0x4c191313, 0xda7aa497, 0x1f53a556, 0xbaac812e, 0x4672ecb9,
+    0x47b916f5, 0x4d50a1b2, 0xc0836506, 0xe00f05c6, 0x0bdb666e, 0x31c4466a, 0x0e9797ab, 0xb6a9b7b6,
+    0x210d645f, 0x80ac2c10, 0xf4a15357, 0x7ee1d43e, 0xd6aa77b1, 0xdd670f9f, 0x6adf0628, 0x5f01ed2d,
+    0x83de42ba, 0x9882fa87, 0x63cc9dca, 0x831a2763, 0x1fca953c, 0xc2dfdd58, 0xe375f2bb, 0x7b281d5d,
+    0x19bea18c, 0x199eb90e, 0x2cbf9d6c, 0x6c54ebcc, 0x84f21657, 0x9315d668, 0x06a66926, 0x068c9775,
+    0x0ff1f326, 0x7a64d2ad, 0x894b249a, 0xef1eadb7, 0x36ae48b5, 0xb0e9b7e6, 0x2d8cfb03, 0x9fe1575f,
+    0x091b3b81, 0x0262f987, 0xa46e0987, 0x712cf709, 0x24529b6c, 0x0c3f0263, 0xec7a3f1e, 0x9f65e1fc,
+    0x0dbfc935, 0xbeb72d6a, 0xc7bafdbe, 0x0b8c9d30, 0x6be8b8b4, 0x1c6a1f96, 0x015eeffd, 0x067307fe,
+    0x43c9757e, 0x9872bbea, 0xafd9f17d, 0x41267f3f, 0xa057c5e5, 0x4d171d6a, 0x9c7d24d0, 0x92469a14,
+    0x00000000,
+    0x4ea80720, 0x4092cc9a, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000374144419156711147060143317175368453031918731001856 */
+  { 0x00000000,
+    0x620eecec, 0x3e3ca6e0, 0xa8d48389, 0xe4ea906e, 0x374cc477, 0x938b215e, 0x686e96bb, 0x15881998,
+    0xdfa06efe, 0x63a06299, 0xa4bc7b9c, 0x3db9df73, 0x4a458e5a, 0x706d1f91, 0xfba65250, 0x6fce29cd,
+    0xe7eb7ef1, 0x2a7df635, 0x817786e1, 0x3aa408b6, 0x38af6cf8, 0xc2da4eab, 0xa4602260, 0x657aa087,
+    0x5a191970, 0x32e987a4, 0xc5e04216, 0x9f71f3c7, 0x5ceaabc9, 0xc8db4a9a, 0x15f5216a, 0x40866e41,
+    0x7c2194f6, 0x081cfe48, 0x17fa6aa3, 0x7c6ee141, 0x79747005, 0xef2a0151, 0xf0d9207e, 0x6fffa08b,
+    0x342c0d5f, 0x9e5c2b72, 0x352c2961, 0xb84424c6, 0xd32dd1be, 0xd426bf78, 0x339b43a0, 0x1c503f2d,
+    0xcc27f46f, 0x3726613b, 0x53b29ec3, 0xde51861b, 0x329f2bb0, 0xbba26ba1, 0xcdcea3aa, 0xf645a667,
+    0x6c2917f9, 0x0ebed5a6, 0x8096fdec, 0x4949bbee, 0x1ae979e4, 0x19a77d42, 0x823bd49e, 0x0ed3c18b,
+    0x4527b9b6, 0x3147c643, 0x38637759, 0x78df1911, 0xffc5e5b5, 0x0e63684f, 0xf011278e, 0x46bfb4a1,
+    0x44424f3d, 0x8a435c78, 0x675ce99d, 0x86f90414, 0x2dcedeb5, 0x5bd06604, 0x49fba406, 0x64744ca8,
+    0x76b6a83a, 0xd6bbacd8, 0x0a05b87f, 0x1b88466d, 0x19759e6a, 0xb40303e4, 0x6c0ccd13, 0x4585a0a6,
+    0xbdd89e62, 0xc23a5201, 0xb10fb02d, 0xaa327695, 0x9c6ad546, 0xee849092, 0x2cf3eaf6, 0x7c4574ad,
+    0xdc43e34e, 0x1a36c24f, 0xaa4466f8, 0x35fc9d26, 0x5f2e55eb, 0xc4b5b292, 0x90bf5cd0, 0xb8ceb31d,
+    0x90c97a43, 0x1b8687bf, 0x1a8c5dcc, 0x79079eaf, 0x1dc548e7, 0xf85a420c, 0xfc4afeae, 0xe03374ae,
+    0x23375b57, 0x84c3ab0d, 0xc9a0f213, 0x6feb56ca, 0xcae0a5ba, 0x83c9b240, 0xd3f7d60a, 0x9f30500f,
+    0x37e8c7c7, 0xad7f6a95, 0xd661a1a5, 0x28637ab0, 0xe8f2b505, 0xe4551efd, 0x35f40ff3, 0x798d3270,
+    0xbcb77ea7, 0x736a23d3, 0x855d1ec4, 0x5a5c7e73, 0x65d22e26, 0x0d3cee64, 0x3a7008f4, 0xa7a9e807,
+    0x8adba3ab, 0x8bb7e8f2, 0x49c34b21, 0xcf25b878, 0x4ff3eb33, 0x16adb29b, 0x9e87756e, 0x3aa792af,
+    0xfdc7bc1a, 0x28b70666, 0xb335bf8d, 0xb6035285, 0x01358dbb, 0x33a43863, 0x6d2184db, 0xa79bf0b9,
+    0xd596a22c, 0x3ebb8b5f, 0xe107e9d3, 0xd93f43f2, 0x5603452e, 0x839b38f9, 0x708a356e, 0x62e0e29f,
+    0xfe5d52df, 0x2dcc47b0, 0x92041f92, 0x6c5d1176, 0x6ef26dac, 0x6243ef6a, 0xa3d0b00e, 0x78a75ac4,
+    0x36505cf2, 0x2357639f, 0x39d59465, 0xa3ecef84, 0x3e9becb1, 0xd13b0630, 0xe59be7e7, 0x68834d5b,
+    0x7255ee85, 0x8b822d6d, 0xd7c1e063, 0x0fb4169c, 0xebdc0d65, 0xad0ff8fd, 0xa372e0e0, 0x7b767cf7,
+    0x3e6252f6, 0x0862f567, 0xdc40808d, 0x3c499c3a, 0x5de369a1, 0x5c3025e6, 0x06d146de, 0x3ff749d2,
+    0x80c13d44, 0x6c754813, 0x3709b8a8, 0xbee1634b, 0x6b08b7dc, 0xa300a73e, 0x99110abb, 0x1ccfa458,
+    0x438e9d96, 0x60211c03, 0xc8bc514b, 0xf34b3618, 0xd5e20455, 0xa1192192, 0x7e038793, 0xcdc3fa95,
+    0xdc47cac1, 0x67569ac5, 0x91f4d346, 0xc1b54347, 0x0e08e2ae, 0x91baff7c, 0x25462451, 0xf49211b3,
+    0x0d1e4c12, 0x8031c348, 0xf4a57786, 0xab7024a9, 0x27a6d934, 0xa1813625, 0x15de02ce, 0xd1b0d451,
+    0xaf191561, 0x72fb9d7b, 0xe6c22f75, 0x6e4f6f18, 0xcaf0fce1, 0xc3f0bf96, 0x29dc07bc, 0x86316e01,
+    0xe2b45ed3, 0x7c979a48, 0x9988533f, 0x53400cc1, 0xef2d7707, 0x3d5c3e60, 0x469a9590, 0xc5bcc942,
+    0xc1bcfaac, 0x9229fc59, 0xb0da5c89, 0x32203def, 0xf74c1503, 0x340db036, 0x4efb8e34, 0x516f30be,
+    0x13847542, 0x8d7316fa, 0x0d5fbde5, 0x1915fbbb, 0xbe0ff005, 0x723976d9, 0xda6139f3, 0xcb7c76af,
+    0x9bc2144d, 0xd0da9c26, 0xab882f06, 0xa1a1110a, 0x98f4194e, 0xc9bfd4f9, 0xe7df7ad2, 0xa1795159,
+    0xa0751f0e, 0x2c6bac1e, 0x942a2e38, 0x4d96015a, 0x237c9da0, 0x2ca505d8, 0x1a514665, 0x79c78e3b,
+    0x7f246e0b, 0xe91f8129, 0xf294d299, 0x6edf531d, 0x4610d50b, 0x60892c7d, 0xf13dbb5c, 0xe88208f3,
+    0x48380955, 0x08a74013, 0xf0aea73b, 0x99e80fc3, 0x8b35bb8d, 0xb879739e, 0xc3ca1e11, 0x99879c0d,
+    0x7e47287a, 0xdc6dfe85, 0x6a2d2479, 0xf5435a7d, 0x4298bf40, 0x3160d438, 0x090f8b16, 0x83c93a63,
+    0xcd5d0fd0, 0x81ece958, 0x7ae00c3d, 0xab5b285a, 0x670d65c5, 0x04f18dde, 0x9477b3dc, 0xef21bec6,
+    0xb15f1ef2, 0x5d481cd6, 0x96e879ad, 0x293e2f81, 0xe1e72829, 0x6d27e34c, 0xcbb9b3a0, 0x4431a366,
+    0x9aefbfe4, 0xd5ebc8cc, 0x301669f7, 0xd3d0ddc1, 0xfbbe36b0, 0x25038c0e, 0x0bd0ad34, 0xbaa061b9,
+    0xe74cd631, 0xedb648fa, 0x2d85c6bb, 0x145b5f1e, 0xf92db375, 0x9a711399, 0x3911ae01, 0xc67bbc5f,
+    0x72b34a7f, 0x587cded1, 0xe87055e4, 0x00b7ce65, 0xe38245dc, 0xc33a3047, 0xe1c99ee5, 0x09f6e075,
+    0x472e2d15, 0x339d5e0a, 0x4b78e1c1, 0x32822ab9, 0x383fe961, 0xdce48c0c, 0x14867b5f, 0x5348f8ed,
+    0x75b44d2f, 0x17303593, 0x4a1779a5, 0x1ee67d08, 0x882a1d64, 0x5de77288, 0x8cb2ef0d, 0xe4ff06ba,
+    0x4ed9195a, 0xdc38a1fa, 0x75a9dde6, 0x17113091, 0x23ba865b, 0x07a012a6, 0x0eb8d633, 0x498a96c3,
+    0x36ed6b72, 0x97098cb3, 0x3094bd39, 0x910bb453, 0x3a75c96a, 0xb88f4fe1, 0x8fae09e4, 0xd12df03e,
+    0xd780128a, 0xd074eeed, 0x628ba5d8, 0x5c2b3f90, 0x545e4a35, 0x2566b8a9, 0xf915241a, 0x321e0cf7,
+    0x49e85631, 0x244e3901, 0x0d7b504e, 0x5326c8fb, 0xc951e504, 0xccc8ed33, 0x16481b06, 0x05627ea3,
+    0x8096aa77, 0x9150dff5, 0x4029a899, 0x6804de05, 0xeca0071b, 0x8a2672af, 0xce3995c2, 0x7a4cb89f,
+    0xa2d06083, 0xac488031, 0x363ca55a, 0x6dbfd70a, 0x4194f6ef, 0x4d9b1055, 0xdc6da71f, 0x304fd559,
+    0xd9df5f23, 0x6fe7310e, 0xe7240cc3, 0x83018a32, 0xb227b950, 0xb3128c64, 0xcec7eacd, 0xe68aa4bf,
+    0x6908b77a, 0x8bb865df, 0xb34023c9, 0x0184a4fe, 0xf5a3b4e1, 0x2e3c1e8f, 0x68a1f48b, 0x116ebda9,
+    0xbf2310fb, 0x56f3ac6c, 0x10fceb40, 0x3f91922f, 0x24ad5db3, 0xe6f2f43b, 0x04927aa5, 0x94ef8989,
+    0x823073aa, 0x6836dda0, 0xe86bebcf, 0x924a3991, 0x3e7163ee, 0xd80f285b, 0x11f22cb9, 0x953e7938,
+    0x6311930f, 0xa74f9987, 0x98414fa4, 0x7ff7d7c4, 0x80fd9e13, 0xd0818d77, 0x2bc720e6, 0xe3a2e239,
+    0x745a19a9, 0x728e23a4, 0x88111ada, 0x609f7c37, 0x16c167c2, 0x6958b81a, 0xfabd733f, 0xcf1cabe9,
+    0xcfbe97aa, 0x56e1fe67, 0x4e8ff0f6, 0x371069e5, 0x109fbf34, 0x7c7b4764, 0x94bf2079, 0xeb0fca52,
+    0x96ec434e, 0xdc5f0e8c, 0xe2923434, 0x06e60c1e, 0xd8b42ea9, 0xe6927f3e, 0xe9ea2a47, 0xef685f52,
+    0x04213669, 0x8ac747bc, 0x5838bc89, 0xe52d6655, 0xeb489621, 0x1d928034, 0x04bc707d, 0x27ab868d,
+    0xc9c66dcf, 0x1282a192, 0x100deb67, 0x5b69136c, 0xd29b1703, 0xaf668331, 0x5e61b798, 0xcf76bb1a,
+    0x0255aec2, 0xa947baae, 0xba633016, 0xc3f5b41a, 0x8d953bae, 0x3edabbc9, 0xbc56b715, 0x6cb571c9,
+    0x0a9dc253, 0x3a0aa96f, 0xfb3214b3, 0x39faad69, 0x86ceb619, 0x9990b008, 0xa3505729, 0x863a3e7a,
+    0xf5cec962, 0xdcf047a0, 0x1cbd7827, 0xf52216ea, 0x06a3bca5, 0x3e49a2d7, 0xfa0ad2dd, 0xa93bd1e7,
+    0x3f5d37ba, 0x6faff7ce, 0xabb138d3, 0x8898a32b, 0x6caf3a5c, 0xfd4d5da1, 0x18f8a8e3, 0xba3d73af,
+    0x8c2b5a4d, 0x61742173, 0x0d30dbf7, 0xc12f619d, 0x7c362b1d, 0x3282fa1c, 0x77001048, 0x2c52864c,
+    0x0a8e68ad, 0xcea29134, 0x831afab3, 0x90ef8d31, 0xd6550be6, 0xe7b5ad88, 0xa08cf881, 0x6c035e13,
+    0x2478dae6, 0xd1e8b898, 0xa6fdcc75, 0xd6d3596f, 0xc82874c7, 0x7e5b98fa, 0xfca1bc6a, 0xa43212d4,
+    0x7645b2f7, 0x5cd7366a, 0x0b25aafe, 0x1d55091a, 0xde8186ef, 0x36ad0f9d, 0x414e67b1, 0xbc695819,
+    0x12aff5e4, 0x2704cc5f, 0xfe160e77, 0xaad8c75b, 0x7ccf4e7c, 0x03ce64c6, 0x34928638, 0xa8835022,
+    0xe7bef00e, 0x0c7d1ba6, 0x0fdf09a3, 0x2a21dc07, 0x18754b58, 0x2502f913, 0xe3346b3a, 0xd87105f3,
+    0xaf406bca, 0x54e1d41d, 0xe44c8809, 0x9bcd599a, 0x38bc612f, 0x41e5c0f8, 0x0e7c9af7, 0x7008500a,
+    0xfdbc743a, 0xb49053f8, 0xb3a29dea, 0x33f6b9ea, 0x2b2ef7ae, 0x0fd271bd, 0xf1576a6b, 0x7ad3480f,
+    0xba1e9ab5, 0xe4131486, 0x653e3fb4, 0xaaa114a1, 0x150ae976, 0xc88ab10d, 0x20641ce2, 0x2fc512d1,
+    0xd3f517bd, 0xb2865a04, 0xff9dd3ce, 0x947b6753, 0x555cc4db, 0x82400cc0, 0x879e8902, 0xf5d996b4,
+    0x0bf5340e, 0xfff161e8, 0xeff45aef, 0x9c754385, 0x3104f33d, 0x45690e91, 0x48b0cf09, 0x624151a7,
+    0x885416d5, 0xe5a571db, 0x30289e0f, 0x2d14f376, 0x6fa236ae, 0xc0cb4815, 0x4dce27d0, 0xbe2c1223,
+    0xe27648ef, 0x4f9344dc, 0xe99b99f0, 0xe7bc598f, 0xb4360860, 0x04b70c23, 0x8c69adad, 0xe287a473,
+    0x7766c69a, 0xbab8ff11, 0xce97f271, 0xe8148a85, 0x28e60883, 0x0f0565d6, 0x91037da8, 0xe2286f6d,
+    0x578a401b, 0x02cff5c2, 0xa79c99c4, 0x25abd0fd, 0x35be0348, 0x0edaf3ea, 0x06368d10, 0x24ff15db,
+    0xdaaef268, 0xf19994d1, 0x898ee9a2, 0xb44fa1fc, 0x4cf8d14b, 0x3027baf6, 0x2de14b81, 0x6501e7ca,
+    0x95cd59ac, 0x34f81d54, 0x8916e030, 0xc0422c19, 0x0b6d6ee6, 0x67f34bb1, 0x180af30f, 0xd423836c,
+    0x7686d67e, 0x395e7199, 0x2994e2c7, 0x0ad42393, 0x37f14611, 0xfc00cba5, 0x6897d8fe, 0x923e9bdd,
+    0x2474c137, 0x9aded20f, 0x393cf5d8, 0x4e3a8a08, 0xa6213e09, 0xc7a30e6d, 0x1fb91346, 0x58c9ab09,
+    0x4fc92d17, 0x24bb3a8d, 0x55251b2d, 0x28814327, 0xc2edc75b, 0x24b27daa, 0xfcb232f4, 0x3fb341be,
+    0xcc8cbc67, 0x4d350545, 0x096d7f48, 0xa63e9000, 0xa04378f5, 0xd7804909, 0x33cc352f, 0x2f0573ef,
+    0x12a7903f, 0x0caf5e03, 0x52a9205e, 0xa3ec8a82, 0x5307be40, 0xa76645e1, 0x1b6b1b16, 0xf43360b2,
+    0xa3dd0093, 0x3bb1db3b, 0x0d2b7f7b, 0x55ce9640, 0xbc5be6f2, 0x450dbd46, 0x4eb3ba28, 0x6ef795d7,
+    0xd60a7b2a, 0x37e006e9, 0x4bef9fed, 0xf3e36101, 0x318ced14, 0x27b5df9b, 0xe54bfc75, 0x08b57ddc,
+    0x36389199, 0xd1e2d136, 0xdb0a812c, 0x07440e31, 0x7f5f3ba8, 0x8fda1579, 0x0386fc28, 0x6812b097,
+    0x76b4f17c, 0xa4c9ee0d, 0x1189e02a, 0x2d0714e1, 0x7a664230, 0x6c7fb71c, 0xb09c17e5, 0xadff3d06,
+    0x397c26d6, 0x28daff7e, 0x493012d0, 0xbbdde9af, 0xfb1da841, 0xcaec4060, 0x814dac98, 0x2fded2b2,
+    0xd731e730, 0xef93bbef, 0x35d244ae, 0xdb8bc99f, 0x689fb803, 0x64da5263, 0x74d0f437, 0xf414b55d,
+    0x8aa42266, 0x1bbd98b5, 0xc591f764, 0x15c2c329, 0x5958778b, 0x181e4c22, 0xc3be4dad, 0x244451ad,
+    0x920c9097, 0x8d100da7, 0x45b72150, 0x69829334, 0x81e935c5, 0xa78b6cdf, 0x8b126e80, 0x32b8bbb4,
+    0x6c404acc, 0x5dc19638, 0x92985e45, 0xdcf6852e, 0xa38eb5c7, 0x8589dc4b, 0xbc5957fa, 0x674c3f57,
+    0xfa415066, 0x376e9c1b, 0xb9d115f6, 0xabafee93, 0xe8990796, 0xd6f739ac, 0x764a9ed8, 0xa46de88c,
+    0x0ad28461, 0x433362e5, 0x2c84527c, 0x79820ef6, 0x22e33bb3, 0x2064394b, 0xfc39f17e, 0x26982521,
+    0x68e8e29d, 0x3f045170, 0x3229d57f, 0xb9b7a036, 0xb5070238, 0x981faf71, 0x4b83b5a0, 0xb7baa312,
+    0x61495327, 0x49176549, 0x1fe05dc1, 0xdde9e14f, 0x3cf0711a, 0x12401717, 0x17e64325, 0x8cc1238c,
+    0x80a80da4, 0xf37cd4e3, 0x0e16eb1d, 0xde3cf35a, 0x63c2f8e4, 0x0e33a1cf, 0x6b58511e, 0x6bfbc340,
+    0x429c2921, 0x9cefe890, 0xbe65c53a, 0x30474df6, 0x1dbcdd46, 0xdfefd618, 0x3f1c153f, 0xf1a37f83,
+    0x45f7a3b7, 0x09468003, 0x6972eb55, 0x8af2deb4, 0x056789ce, 0x449f9e06, 0x8ddb04dd, 0x3e8cb376,
+    0x6ace2ead, 0x0c8e29ab, 0xbea1e365, 0x68f86d41, 0x6607d7cd, 0x19e01e34, 0x3f44ce1a, 0xf809f842,
+    0xac9a86c9, 0xfd331b30, 0x36ce6b42, 0x2c9a7e4f, 0x1ae8994a, 0xb27e2a7b, 0x9851cd33, 0x71bd438e,
+    0xe44ee282, 0x448ff789, 0x1441f04b, 0x32d72244, 0x9065259f, 0xfba816d2, 0xa475313c, 0xc9fe0fd4,
+    0xe01f22b2, 0x9cecea27, 0x3fc84089, 0x5cd71963, 0x5aa0b5c1, 0x47137e5c, 0x52fd31be, 0xf6e127a4,
+    0x5b6e7c5a, 0x777068bf, 0x5cf8b6bf, 0x11e7ef3f, 0xd2b00e4e, 0x0ff89ed9, 0xa7ef4383, 0x741f0fb9,
+    0xecec66a1, 0x50dba8a8, 0x9562586b, 0xab1dea1d, 0x7fa4ae2f, 0xf95e85ab, 0x7b57c978, 0xd428ab20,
+    0xfb338dec, 0xb96279f2, 0xd3aea8dc, 0x94b9e4b5, 0x6afdbd75, 0xd4b157cb, 0xc1cc0bd1, 0x534846c5,
+    0xdb29bb55, 0x83e9ac7a, 0x3ca094be, 0xbce61dc2, 0x158fac65, 0x133f3c02, 0xbdde3e90, 0xe73247dd,
+    0xca353f95, 0x08ec3c25, 0xf5b1c5e7, 0xc762e95d, 0xc8eb24b0, 0x023a93f0, 0x24c47e23, 0x5590b3d3,
+    0xa9a8d6a3, 0x06effcb6, 0x469d75c2, 0xc8fb32cc, 0x795a70aa, 0x749c2393, 0xa50a562d, 0x26ca5d4b,
+    0x695d8b45, 0x03d265ea, 0x4550a137, 0x0624eab2, 0x33fa5bc2, 0xa576d1ed, 0xf2540755, 0xbae957c2,
+    0xc173a37a, 0x14bff5ec, 0x2a19acbd, 0x1e637359, 0xeea53bf6, 0x92a7d242, 0xe83cc229, 0x9ad7f9f2,
+    0x7a038131, 0xa0238a90, 0xefca092c, 0x34fc41eb, 0xd47b26d4, 0xd17631c4, 0xd71c0010, 0xbf1ca186,
+    0x9490ff99, 0x15b06cc9, 0x3c4d6bfd, 0xcbc7bf76, 0xd2f237ed, 0x5efd7675, 0x1dbe44ac, 0xebf8b7da,
+    0x17388de2, 0x0301fcc8, 0xc744be8f, 0x02bd239b, 0x4f7afffe, 0x37fbdc36, 0x12b664eb, 0x668331b3,
+    0x8f74956d, 0xe3b63285, 0xb045b580, 0x61d0e66c, 0x17ae5724, 0x5aaa72f3, 0x0ac6debd, 0x01783e58,
+    0x7cec4655, 0x11f55cd8, 0x43f9bbc7, 0xd4572b8d, 0xce201864, 0xe6ba8dbb, 0x8f3e22de, 0xa14143b0,
+    0x1c2f9f3d, 0x25633536, 0x214cd581, 0x5d06b597, 0xaaf7ca33, 0x58eefe86, 0x2ffd62a2, 0x50311b0c,
+    0xdc037b7a, 0x5349e413, 0x38ccb510, 0xbe367548, 0x9bd875f5, 0x051e3636, 0xe88e5303, 0xd5467d47,
+    0x33f7ca11, 0x09d1d709, 0x6dc1a022, 0x2e90537f, 0x9469649c, 0xf1ccc9f1, 0x8e4a840b, 0x969fbbcd,
+    0x54e1f355, 0xd1ef0ba9, 0x9aa72ce1, 0xd740204e, 0x6a4847fa, 0xa3eadbda, 0x2af5f250, 0x95f57654,
+    0x0e7b64c2, 0x3a2cb570, 0x8329da02, 0x96ac09e8, 0x0fdb0335, 0x47f2e1b4, 0x31536a42, 0xa8e818d6,
+    0xb58981c6, 0x6497db89, 0x4ed5f6b7, 0x4c362292, 0x7830a08e, 0xc5787c5a, 0x67e8130a, 0x8db3a0ec,
+    0x2abf91b1, 0xd390f189, 0xb5cc612a, 0xba2b0f01, 0xaae93bd7, 0xa29804d6, 0x000c3df4, 0xc182e0f1,
+    0x00000000,
+    0x2754038f, 0xa049664d, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000187072209578355573530071658587684226515959365500928 */
+  { 0x00000000,
+    0x44b24003, 0xcbf84552, 0x9b49eacf, 0x6a2a613e, 0xc1200ec5, 0x360eb242, 0xb29087c8, 0x5e9e729e,
+    0x1e866c2f, 0x820d03c0, 0x6be991a1, 0x4abb18a1, 0x395d20e5, 0x3b10811f, 0xdedd6d99, 0x782e415c,
+    0xd3e06a42, 0x0178caff, 0xb2a914b0, 0x2e14004d, 0xe85d2bb9, 0xfb9f17a5, 0x3180fb5b, 0xd32dbb08,
+    0x6c976189, 0x84ad650b, 0xb49d0de3, 0x9490f4a2, 0xdfba4ba1, 0x4ea440da, 0xedde63bf, 0x83ffac0a,
+    0x1e67a585, 0x78949741, 0xb1cd9a6c, 0x274f0d63, 0xa0479015, 0x188c11ec, 0xf12832aa, 0x16cd58b9,
+    0x7f852f94, 0xdc649378, 0x2d51b2ae, 0x007b25de, 0x41eafdb6, 0x10912b3f, 0x0b467aec, 0x15fe30ff,
+    0x583d7722, 0x1d004da2, 0x0df37438, 0x3ba36880, 0xd60492bf, 0x1979d18f, 0x48986358, 0xc7ead4fa,
+    0xebb19cd2, 0x54f16147, 0x635fe1c2, 0x5b965a22, 0x9544e559, 0x448bc83e, 0x7895f9d1, 0xe33c547a,
+    0xd7567076, 0x342aef7a, 0xffa5497e, 0x78e80512, 0x9ddbee0e, 0x66250425, 0xd848d9f4, 0xe42cc493,
+    0xc2fa0736, 0x0b4af3a0, 0x4fe2f447, 0x37ffc90a, 0x7fb467b6, 0xb4c3fa31, 0x391c502d, 0x6c4bb76e,
+    0x24f822bc, 0x6355a818, 0xcc0eab73, 0xa29d2fe0, 0xadf19336, 0x268cd195, 0xb6db94ad, 0x49a0a20a,
+    0x161c9f1b, 0x58ca962a, 0x989b3eab, 0xdf194671, 0xb79efc92, 0xa815e51b, 0x93b6bee8, 0x1a8ac3a3,
+    0xc90f4249, 0x85eb8077, 0x04a732bc, 0x8274b169, 0xefbb832d, 0x7afc1c59, 0x244251b2, 0x51c23e23,
+    0x845618bb, 0x61b8d22b, 0xef8cacbb, 0x19ce0382, 0x8a7d9c69, 0x941944d6, 0x6aee4f91, 0x969678eb,
+    0xba54085d, 0x8034cb05, 0x86f32561, 0x6093854c, 0x0784a67b, 0xab4fa98e, 0x204c7867, 0x0e99446b,
+    0xc68371f1, 0xc9fbd2f3, 0xafc1a714, 0xe0419afd, 0xb8b57b00, 0x835b8e82, 0x4eb7a2e6, 0x7853247f,
+    0x9b0d6850, 0x111bd38e, 0x5f18ffc4, 0x5ef74a5f, 0x97133b1d, 0xcc385170, 0x9ce8d200, 0x7884dc54,
+    0x49a355f0, 0xa31ae2e7, 0x340f7eef, 0xb14fe771, 0xd3477192, 0x572b5c8e, 0x761b6f45, 0x058b6dd3,
+    0x23ebc127, 0x78158f66, 0x86e644a7, 0x55429364, 0xdef73a7f, 0x34546101, 0x51b26d97, 0x349097f3,
+    0xbdbfb4fa, 0x9cd8fbfa, 0x4f9ad6fb, 0x5fbc1ac5, 0xd2824429, 0x21c87499, 0xbbda9e7f, 0xd971faf6,
+    0xe7d9323c, 0x49aebd56, 0xa50f2cdc, 0xda7263fc, 0xdc7aaec5, 0x19916e8a, 0xd76dbdcc, 0x89c44a03,
+    0xc2a9a1e0, 0x5d6aaa9a, 0x8ba5e150, 0xc83fc932, 0x7d2c698b, 0x137370fe, 0xdc9c0421, 0x20de7690,
+    0xd37c349f, 0x9f6887bb, 0x70a26d67, 0xa83e94a3, 0x3e602799, 0x4931360e, 0x0fbd0288, 0xc93f0f3f,
+    0x5fe8182d, 0xf1d55332, 0xab355a08, 0x39ff6e9f, 0x4e8d3fa3, 0x63fcca37, 0x11a70852, 0xd4342c80,
+    0x3a02fa62, 0x404542b6, 0xa88e777b, 0x4a5244e8, 0x6a73c602, 0x9466e035, 0xf7f16c4c, 0xceb26511,
+    0xf9b5949e, 0xb55b1e63, 0x8d50989b, 0x26be117a, 0x1bad7b7d, 0xd08c825a, 0x9622e2d8, 0x9b63ff03,
+    0xa47180b0, 0xe84cd671, 0xeb3a1b01, 0x78ced1b1, 0x6ba91fcd, 0x24f6dfcd, 0x376de91e, 0xd6c0ac7d,
+    0xe245784c, 0xb3332ca9, 0x48d04363, 0xa08a5cef, 0xd988adba, 0x53628539, 0x9eb8b32c, 0x7296dbfa,
+    0x5f586003, 0xd164676c, 0x9a0eb43e, 0xc47d74eb, 0x148f60a9, 0x42387bee, 0xecf8d7d7, 0x097c947a,
+    0xf71a8f84, 0xe0021201, 0xac0d2b56, 0x8c4d6c4d, 0x564d2af4, 0x406b078e, 0xb933225a, 0xde8f1d6a,
+    0x06533e44, 0xf4e16da5, 0xb1319bda, 0xe8c60796, 0x59b3a201, 0xf281131f, 0xa083d534, 0xba93a285,
+    0x8c2a8004, 0x7d157f77, 0xa17a2cfa, 0x75ef82b3, 0xde70a57d, 0x48fcff52, 0x03988867, 0x58b21f51,
+    0x88c8e7e4, 0xde09a5f1, 0x0ae6a70a, 0x0f73bf53, 0x5c07838f, 0xc62f985f, 0x2c0bdfbd, 0xd799840c,
+    0xfb7c7fe6, 0x90654812, 0x20fa6dcf, 0x7f541007, 0x3460c83c, 0xff3d3a64, 0xde0fc593, 0x9dfac294,
+    0x86346005, 0x43480164, 0x7982cf5e, 0x14fae4bf, 0x9351a28f, 0x26509592, 0xfed08820, 0xc98cb288,
+    0xb204fcc1, 0x9558fa32, 0xac4c8e02, 0x1303f4ba, 0x92f85c93, 0x81dcaff8, 0x73b7a1fb, 0x7390ab43,
+    0x9ddd574f, 0x812bd87c, 0x4d1ecd24, 0x900369ee, 0x00aca9ae, 0x5973dc07, 0x4acfa717, 0x61191466,
+    0x4f5342ec, 0x8aec8b17, 0xad6f18c9, 0x85d5b36d, 0xe58f6d1e, 0xdbb546ef, 0x41885ed5, 0x79566dfb,
+    0xc39087e8, 0xfd452a51, 0x3ebc8e0c, 0x74916292, 0x3b657e0f, 0x6379546a, 0x64887b79, 0x4749d90d,
+    0x6de20f54, 0x05341fd5, 0x5294fb38, 0x0ad530a0, 0x20abeaf4, 0xb4aa10d2, 0x96c29d34, 0x86cd0943,
+    0x64c0b9df, 0xaf6476cf, 0x2760285a, 0xc63a7b3a, 0xb3ea75cf, 0x10facfed, 0x4ebf2b19, 0x9e36163a,
+    0xba4f4067, 0x82188fee, 0xcfbaf8ab, 0x566a378a, 0x32935eb7, 0x51c78ac4, 0x2e0d60b9, 0xe0b1cdce,
+    0x3e6060cd, 0x79631390, 0x002e1371, 0x28fec9de, 0xdfb89d23, 0x06f6fbc8, 0xd31807f2, 0xeafc7538,
+    0x54ea4ec0, 0xc041d54d, 0xe14badb7, 0x7eb8b219, 0x526e7b14, 0x3ef05b57, 0x07ee41b7, 0x42f94b4e,
+    0x26cf54d9, 0xfe94f718, 0x077b11f5, 0x2e0a9e09, 0xff5bd529, 0x0a8c8b14, 0x9c832384, 0x6ca0fbbd,
+    0x009802f8, 0x56e91b6d, 0xe05be9d2, 0x62915eb9, 0xd38d496b, 0x48defe9a, 0x0356a596, 0xa137a2ec,
+    0x332d3164, 0xc7fef2b9, 0x1edabaa6, 0x35290214, 0x0246132e, 0x9833a20a, 0x3b718ddd, 0xcb5822cc,
+    0x06870264, 0x59960b31, 0x289f4a30, 0x2dfb8d9e, 0x8ae528fe, 0x3fb7a0fd, 0xdd33f175, 0xc593a179,
+    0x09dc31b4, 0x8097cb2b, 0xcf21462a, 0x4957cb7b, 0xf0225e00, 0xb8a7979b, 0x16b5a605, 0x4b778b66,
+    0x5bfbaca5, 0xe82aefc3, 0xe633fd6b, 0xf1ae9f2f, 0x8f9503de, 0xf772a8b1, 0x54bb17e3, 0x94f6408d,
+    0x69ce81f5, 0xdc51f9f8, 0xaf5b6e87, 0x8b61799a, 0x20130743, 0x58651499, 0x9b61c95e, 0x0ff7f1b9,
+    0x234e87ca, 0x50f295f3, 0x52c04203, 0x73dfceef, 0xd1eaf92b, 0xd7d7eb09, 0x7ff2bcd9, 0x6ba2828b,
+    0xcc9920c0, 0xb2f1dc7e, 0x587cc8d9, 0x0fa71a1e, 0x4b07d3d5, 0xf70e1e3b, 0x5e4c300b, 0x0b8f2f6d,
+    0xf9cc3823, 0x392f20bb, 0xa7c9e021, 0x1aa628fe, 0xac27cc5f, 0x4eba4c68, 0x5806fc20, 0xb91c5c81,
+    0x3a9d91de, 0x92f5d09c, 0xc6e9e2ba, 0xfc2a5c64, 0x6ab813da, 0x46ba5926, 0x722d2608, 0xdfbed7b2,
+    0x137a9b51, 0x61c8666d, 0x8281d9b9, 0x524e56d3, 0x15dd03d6, 0x7bfaf7f9, 0x54356d01, 0x7e6025e3,
+    0x4af5a0e5, 0x6ad6dfd1, 0x6e438ca0, 0xb2a1adea, 0xa451b04a, 0x8002d7a4, 0x708b8c08, 0xc2df28ec,
+    0x05fb201a, 0xb5a0afaf, 0xbd087597, 0x598d3af3, 0xad404225, 0xfe4b3677, 0xf37bd377, 0x2ee90c71,
+    0x8198d272, 0x2b08bc49, 0x57c76466, 0xf2ee416d, 0x0b6aec6b, 0x9f857ebb, 0x719d6d5c, 0x5870dbbc,
+    0xe69b6fdf, 0x92560384, 0xc7b96859, 0xfbed1b4f, 0xa32eda1f, 0x2f2a6bd4, 0x1cf0aaf2, 0x6105f283,
+    0x292f4fc4, 0xd4628bed, 0x0cc4152b, 0xa0d31a7b, 0xf8f1e80c, 0x4b6b5961, 0xc38be085, 0x7b91373f,
+    0x3db5b82f, 0x96ff9993, 0x314a9d57, 0xe70ee3e4, 0x459e01c5, 0x0409af0b, 0x4f83c591, 0x1501a0b1,
+    0xbd67d360, 0x259a0d65, 0x8877da24, 0xd1d8eee4, 0x262a99ae, 0x2927c96f, 0x9bcdf67d, 0xc2bb7ec6,
+    0x8412a040, 0x96549754, 0xb460ffe9, 0x3caef787, 0x7b3b05bf, 0x8fbebec2, 0x5ba06710, 0x6646576b,
+    0x70f92261, 0x58e7754a, 0x9bb88fff, 0x1e4e42fe, 0xdd4c02b6, 0x962949f8, 0x9f94c9bc, 0xac41f333,
+    0x4315dc36, 0x20483d86, 0xb30f0d30, 0x316a3637, 0x2406a29f, 0x37dbd786, 0xa8e0077e, 0xd75a7939,
+    0xc33b1841, 0xe63a6202, 0x0baaa58a, 0xa8ebf4de, 0x9d2cfe85, 0x6cd5905e, 0x03540856, 0xbc5c9f0f,
+    0xbdcf17d7, 0x713fa23b, 0x414a21ec, 0x67a94cb6, 0xd8ec33a6, 0xdc20cd54, 0xe347688b, 0xf1f84a2a,
+    0x89135536, 0x5ce71769, 0x7adf30fd, 0xec6fd52e, 0xb428d94f, 0xc3a50473, 0xb60ab048, 0x86b7c8be,
+    0x99e6dd39, 0x0d82390b, 0x4e699a8d, 0xc0698d72, 0x3772df32, 0xd99896a3, 0x8a2e2180, 0xed8e43c9,
+    0xc4799b50, 0xf270a602, 0x6cbbb2c0, 0xb62362f7, 0x1c8ba671, 0xe865af50, 0xca7b2c97, 0x2917cc2d,
+    0x1e26ac3f, 0x4ce0e0ed, 0x30cd6eb9, 0x80d53e77, 0x036ae0de, 0xdca55db7, 0xf7cc354b, 0xb7d33d3a,
+    0xd8329104, 0xbf96733d, 0x07c5fea6, 0x8011a84f, 0xefda724c, 0x3b992e1a, 0xf4f82045, 0xe2e92c61,
+    0x7fbe267d, 0xe137355a, 0xf7d6f8d9, 0xa896389a, 0x5e21dbe7, 0x16b2a1e8, 0x1d5858bf, 0x45c71ed8,
+    0xd815d69b, 0xcbe91381, 0x6c958eb7, 0x77176875, 0x1feb02ac, 0x9ef02724, 0xb389585f, 0xfc49e609,
+    0x891cae68, 0xb2c854cf, 0xed8b37d8, 0x814eaf19, 0xf2bd0a34, 0x816a0e88, 0xc5dddff5, 0xf95c55bd,
+    0x29711142, 0xf8dc8e9c, 0xaa576169, 0x9d146563, 0x3315ed29, 0xaef65534, 0xd82fde1b, 0xb9cb8bbf,
+    0x6b075be3, 0xd53f81dd, 0x60df83c2, 0x5b6c9236, 0x5f0adde0, 0xf40624e7, 0xdee481bc, 0x9c3de6e0,
+    0x5c254e05, 0x3b5dc1d4, 0x43d97b2f, 0x44111a9a, 0x7fc30fa9, 0x38cdf8b2, 0x82c1fe45, 0x4797c983,
+    0xa056099a, 0x2873b1cf, 0xb781db60, 0xedeae557, 0x4e4dda7f, 0xa0131e7d, 0x4f2f5719, 0x384e15dd,
+    0x929aea44, 0x2c111bfe, 0xc493660e, 0xd58a3edd, 0x21e0fbcc, 0x7dd25c76, 0x598497a1, 0x80ae11d1,
+    0x02b6f7ed, 0x27af45fa, 0x66d5782d, 0xddd84208, 0x5d2b2c72, 0x03c77ef4, 0xdf83d93f, 0x24f38c21,
+    0xa85ace6b, 0x3d39d457, 0xc8b721aa, 0x96ff8ddb, 0xf78821e5, 0x4dbbe1be, 0x7431793d, 0x1ec583c9,
+    0x1841c72f, 0x10ecdbe9, 0x70cd3766, 0xadaaf6d5, 0x599a581c, 0x6bda1c42, 0x146ada21, 0xedeb5784,
+    0x3540beb7, 0x5e0a2527, 0xf9b8de36, 0x71bd857e, 0xc5452c99, 0x7a1b3e9d, 0x10af6a90, 0x0e863993,
+    0xd935458e, 0xab0626e5, 0xbaab104c, 0xae412467, 0x684116e4, 0x1e4957fb, 0x8f11e5db, 0x55cb0d8f,
+    0x6ff7a7c0, 0x386506ed, 0xeb9ecd43, 0xa9ae6baa, 0x205bb39f, 0x543d63a2, 0x2d60f416, 0x663a7a08,
+    0xa1d8fb42, 0x685ecb41, 0xb7026736, 0xaec6e9e3, 0xcb0af0c4, 0x1ed45760, 0xd4ab26c7, 0x7f1ccbaf,
+    0x01b6209c, 0xd4f809c0, 0x08989981, 0xeb352b44, 0x3b6a094f, 0x707a95ab, 0x5ff5c6d7, 0x88bbb048,
+    0xa092937e, 0x3453cb60, 0x8da598e0, 0x2b3749cb, 0xec1408e9, 0x2fabdc8d, 0xfd79b94b, 0xe939cbca,
+    0xbd85acbc, 0x63e318b7, 0x9894d781, 0xf7305005, 0x322cf368, 0x3530f250, 0xa4674cb5, 0x9c2f2283,
+    0xf30fabf1, 0x41a6aa68, 0xad9dfa8b, 0xd2496c37, 0x35b87482, 0x5915d19b, 0xeeb3921b, 0x2f9ac941,
+    0xb350bc58, 0xa1205082, 0xfe8372e2, 0xeff56d06, 0x2f11ab1e, 0x381cf0d9, 0x1349c452, 0xe9ca1cd5,
+    0x835a7c46, 0xf55398fd, 0xde0f0c3d, 0xda90d0a1, 0xae4d7547, 0x1b04ca49, 0x0458b388, 0x04fef6e3,
+    0xc303db79, 0x4cef7d1c, 0x086b9217, 0x0eb6ec91, 0x23e1ec38, 0x950360de, 0x98137f28, 0xb621d29e,
+    0x452ae1dc, 0x7086aaf7, 0xbeec2e94, 0xd5248b36, 0x180317d0, 0x6a0eb127, 0x1dcdcd7b, 0x0c458dba,
+    0x3f49bf5a, 0xc3553b17, 0xd83af9d8, 0xe5667661, 0x3bbee86c, 0xefa5a249, 0xd3137984, 0xd48c67e5,
+    0x48bddd8e, 0x1750b3ba, 0x8ec9d026, 0xd961917a, 0x6aa7bef7, 0x57b15d69, 0x83e647fe, 0xf9682ff2,
+    0xac1895fa, 0x0e4f77d1, 0xc7f16fcd, 0x289ad589, 0x55ee018a, 0xb3527be5, 0x9d909e74, 0x0645b972,
+    0x7f051ff8, 0xbd36cf1a, 0xc2079bfe, 0x79a70f28, 0x41f2f229, 0xda48bec0, 0xebff57b7, 0x8fcd6b19,
+    0xce091b98, 0xe967d545, 0x9b379082, 0xaeba8124, 0x37cc95f6, 0xef4a7778, 0x82a050be, 0x595219d2,
+    0x96056957, 0x3b66ec8d, 0x8620df1a, 0x967ff67a, 0x9cfb4c24, 0x053acccb, 0xf849ea81, 0x89c755de,
+    0xee3b4036, 0x831147c6, 0xc927ff78, 0x5577c85e, 0xb3ffe4b5, 0xe7d71bf0, 0xd8a5c80c, 0x04a1b9e3,
+    0x3c94da06, 0xe024b36d, 0x18d6a71a, 0x37df52bf, 0x7811d34b, 0xdb23c906, 0x95299a98, 0xe9d7967f,
+    0x5a1e4828, 0x89abfd59, 0xd2aa948e, 0x5c6886b8, 0x3d51665e, 0x2863229a, 0xe6c97a81, 0x8e2ac57e,
+    0x8cded5e3, 0x165485f0, 0xf2acd54b, 0xf39884e6, 0xf050cac3, 0xa94f0ce7, 0x52b92404, 0x9270a623,
+    0x62dc03b2, 0xa9852ca9, 0x1b653c32, 0x5576c9a1, 0x8b15a2eb, 0x699b0afb, 0xeabfb29c, 0x4fede9ac,
+    0xf1bd21a7, 0xab922565, 0x9eb54dd5, 0xacf7a9bf, 0xfda21ffc, 0xb3389ee9, 0x44bc3183, 0x1498d50b,
+    0x97a1fb19, 0x8a18675b, 0xbdf5b84e, 0xbec6ddd7, 0x629e478b, 0x7ee2267a, 0x5168c07a, 0x02a099a0,
+    0x388a66b7, 0xea69c588, 0x93097df3, 0x41a34a49, 0xb824443e, 0x731e5b05, 0x305146f0, 0xc8cf597d,
+    0x8a9c6212, 0xd950da84, 0x8ea321a1, 0x34957217, 0x556f2616, 0x913bc8b4, 0xb7e497fa, 0xac364545,
+    0xedbcbfef, 0x6e6eca2b, 0x17e69a65, 0x7c6baf5e, 0x8a008b05, 0x6bc1a711, 0xf97e4a36, 0x459d1ae3,
+    0x82524ef4, 0x6695cfee, 0x8528daae, 0xf2d13d94, 0x6177633b, 0x3b12045c, 0x1189a550, 0x36ca816b,
+    0x63a9587f, 0x70b1a81e, 0xc89d0c30, 0xa2e37306, 0x39aa816c, 0x00c212cb, 0x6b429336, 0x0b847d90,
+    0x5b4c9a16, 0xfbaafb25, 0x23f1a8f2, 0x09f6dc0c, 0xb8b03649, 0x25064ec5, 0xf2b06b3b, 0x5945fd42,
+    0xc42174c1, 0x45fffa4d, 0xb4316e55, 0xd9cc4773, 0xac4f4a62, 0xd3517b5b, 0xea46e75d, 0x4ad247ee,
+    0x2bad03c7, 0x8b44b8de, 0x0f6bf434, 0xbf7bd626, 0x317748c2, 0x4bbcb3fe, 0x5da52a53, 0xd2da21de,
+    0x0fe3f6b1, 0x446d2e92, 0x7a1bb721, 0x2e087a3a, 0x304c73fe, 0xbfd4c425, 0x6ab0de5b, 0x7af3520b,
+    0x18d76c5c, 0x1f149ffb, 0x0b5d13e9, 0xba7c1ca2, 0xb249d2c7, 0xc744bbdd, 0x67692fbd, 0x816db501,
+    0xec2acf40, 0x56ff7bcc, 0x8b20ddb9, 0x266bfae5, 0xa79e35e2, 0x2bb519b3, 0x3d4e8b87, 0x9b796367,
+    0xbd2dde72, 0x217ce326, 0x35965173, 0x2a507c36, 0xd017e52c, 0x818638c9, 0xbc472c15, 0xce53817b,
+    0x5ad725c5, 0x591b032f, 0xced717a2, 0xec5bcb48, 0x02213361, 0x4d960b3e, 0x5550718a, 0xda015324,
+    0x309b7e12, 0x1541b522, 0xe2096485, 0x3f3bc578, 0x20ced1cf, 0x67acd213, 0x3d2724ba, 0xd6a89424,
+    0x74bf8172, 0x78d7fb6b, 0x40b9e538, 0x5b7b8071, 0xdcbc0b5e, 0x52ac47ef, 0x1fa75f83, 0x29d3ec31,
+    0x1c93fe90, 0x7a25e4dd, 0xbe79611c, 0xba0d292e, 0x0c069f0e, 0x6e575df4, 0xcdf59ce4, 0xb6fab873,
+    0x4476ac37, 0x8dd03eff, 0x18d75e6e, 0xaa152566, 0x02baeb6a, 0xab5beacc, 0x5fc23fa5, 0x9d6212ab,
+    0x00000000,
+    0x93aa01c7, 0x5024b326, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000093536104789177786765035829293842113257979682750464 */
+  { 0x00000000,
+    0xf362fdba, 0x8f7a0ef2, 0x128987bd, 0xb921cdd8, 0x1b68c9d6, 0x4c1ceadf, 0x1c357e31, 0xddd85211,
+    0x2c46a8d4, 0x8609d17a, 0xdc884bdc, 0xc389cf7b, 0x4be7e01f, 0x108fdc68, 0xfa79f0fd, 0x1e361a9d,
+    0x8b46f880, 0x9e7f57c3, 0x9cfc33ba, 0x9c9b84d6, 0x6d6ef203, 0x8a2602f2, 0xf115166b, 0x2715507d,
+    0xa9fab1d4, 0xcd774b8d, 0x569f3e7d, 0x88b0bcd0, 0x7a745a2b, 0xcc4e7484, 0x682637ba, 0xc5b224b9,
+    0x75becffa, 0x05800527, 0xd480c031, 0x068f7143, 0xa6e6763d, 0xbdd15fb6, 0x3c85cfa4, 0xfeef0a00,
+    0x5706ef16, 0x306f3ac4, 0x3adf4a03, 0x6e295ec0, 0xc2f2a5c4, 0xbbd9142d, 0x1c036cd2, 0x300f056d,
+    0x450ab472, 0x89fb6084, 0xd8b2dc93, 0x99ed4f16, 0xa77a99e5, 0xae4d2626, 0xe318066c, 0x171436ef,
+    0x2c05961b, 0x45d26956, 0x89a1669f, 0x83a33309, 0xf0b14923, 0xb1ee9178, 0x8bb6e0bf, 0x7512ab2e,
+    0xefa50175, 0xb5994a84, 0xe114cfbd, 0xb448d759, 0x8b8b6cb3, 0x1700a828, 0xe806839a, 0x27e25b78,
+    0xa665e097, 0x633b9eae, 0xda01f22d, 0xbf8f3883, 0xb88292d0, 0x34924854, 0x6b94d379, 0x754dcafa,
+    0x9fe33833, 0xc4631989, 0x4000c117, 0xd7a0e70c, 0x90ab43ff, 0x3cfdf2c8, 0xf7138115, 0x6b159d96,
+    0xffc4c9aa, 0x067cfc81, 0x6ae16c23, 0x80d92470, 0xaf1f5eab, 0xf200bdd4, 0x264c8a96, 0xf73f997d,
+    0xfb0f5f95, 0xd2dab4f2, 0xa0fb0bb5, 0x86885903, 0x62f9e9bd, 0x12f3e846, 0x6bfe3f1f, 0xf3990420,
+    0x5f1e888d, 0xdf2a2843, 0x5370d019, 0xb1880597, 0xddf6520e, 0x60fffc38, 0x3777a4ed, 0x7672be13,
+    0xea26957b, 0x83b4de36, 0x285c3574, 0x14409b11, 0x44c855ee, 0xb165bc0b, 0x37b4741c, 0x77ce0537,
+    0x3eb75220, 0x7ec3968a, 0x3a13e990, 0x874700d3, 0xca44ac81, 0x256fad5d, 0x8e470e48, 0x75e0e260,
+    0x71093bc7, 0x530d0476, 0xaaebc9fc, 0xd20d74b8, 0xf4d8172d, 0x9963065a, 0xeec77af8, 0x03c8f00d,
+    0x1e961c79, 0xcd9e50c2, 0xbc30b6f7, 0xf8763afc, 0x2cbe8980, 0xec3f1108, 0x938d724f, 0xd89b1fd9,
+    0xe0cc9b58, 0xb9b3a718, 0x28d29bb0, 0x22ad22c3, 0x4a8b0c18, 0x623ae5cb, 0x55bfa14b, 0xe28b0f9e,
+    0x5bf0b41f, 0xe2588416, 0xd277098c, 0xffb8a2e4, 0x2b12d7c7, 0x14c41399, 0x9198f00b, 0xae3ca38d,
+    0x812e5471, 0x1bde3bd1, 0x3aef2672, 0xbf5ef985, 0xb7a8d275, 0x1747d58d, 0x2d58a66f, 0xa92db7ce,
+    0x88d909ef, 0x7b4810f4, 0x4957ba8e, 0xeaba2887, 0xde5e4edc, 0xda1560f9, 0x8784e732, 0x23f2d754,
+    0x9fa5c504, 0xbf9fdaa3, 0xedd8e259, 0x6f19aa44, 0x10c1e75d, 0x6e737030, 0x709a9631, 0x8f9cc86b,
+    0x1593dce9, 0x97d50cff, 0xb765aade, 0x9dc7f65d, 0x2b2b4474, 0xeb5684cc, 0xdfa06bb4, 0x36347f2c,
+    0xb59aaf77, 0x516f1d33, 0xc35400d2, 0xd87af8ca, 0x887a8385, 0x377a4094, 0x64ee132e, 0xd04bd1bf,
+    0x74c31fc5, 0xdb713b92, 0xf6411893, 0xf3731cd6, 0x54785573, 0x0db65418, 0x35e18c64, 0x59be42a3,
+    0x292be567, 0x2de61b59, 0xfb8c35e2, 0x9dd49c9b, 0xf1d66a6e, 0x27629236, 0x4edfb48c, 0xc17c2295,
+    0xfa08d26c, 0x61c4a030, 0x35455282, 0x18f4d402, 0xc1de6e46, 0xfebd7126, 0x3e59b755, 0xf2531069,
+    0xe93f4ed7, 0x81a4d8d0, 0x91c66e46, 0x26e7d5e1, 0x6dba4e70, 0x427ecf62, 0x5f606de1, 0x63ba8fd6,
+    0xe7e9ed90, 0x895f51fb, 0x1f4e6f4b, 0xb328d8b3, 0x1e6e0e74, 0x89be1c52, 0x067b7a0c, 0x74f66081,
+    0x84d2fb54, 0x0c1e63c2, 0xe6b749b9, 0x8732555d, 0x2d1e18be, 0x0dd0a6dd, 0x67accb56, 0x461d87a6,
+    0x15ff799c, 0x74e22570, 0x3981643a, 0x9ab1be58, 0x4a869e4f, 0x02021375, 0xd1bfcf0e, 0x5b5bb040,
+    0x31edc3a4, 0xf753ae97, 0x2a9ffba6, 0x01d63f1e, 0xf9d52e56, 0xb1c52b93, 0x5f8bcc5e, 0x43dac35b,
+    0x9e28df89, 0x2a964351, 0x66ad51f5, 0xc3bd0589, 0xa4b5441f, 0xcc5ad2d5, 0x8600a36c, 0xe31f3b8f,
+    0xe6352b28, 0x6dc67839, 0x396536df, 0xfbb2e5a5, 0xcb3b3a7e, 0xe7bf6516, 0x57856cfa, 0xe1b744ac,
+    0x0d87fc8f, 0x356a7159, 0xdf0611ef, 0xf7888d7a, 0xbee9d8d3, 0x36e1f416, 0xb734db51, 0x217ec9c7,
+    0x89fa7ff8, 0xcb7aaee1, 0x15e2634e, 0x472884ce, 0x0bd6e833, 0xe47458fa, 0x93adea61, 0xc8068bd0,
+    0xd42fc4ac, 0xe60308e2, 0x133db45d, 0xbff5a666, 0xff876dfe, 0xd289a360, 0x2d0360a8, 0xcb2c89b2,
+    0x496962fd, 0x80e1e666, 0xcc927503, 0xe799297e, 0x6504d1ed, 0x39e55e29, 0x74633a75, 0x1c237324,
+    0xe76a766e, 0xd9d6ce27, 0x8f4703d7, 0xdc8eccb3, 0x9b64b48d, 0xc66e40d7, 0xee19fda3, 0x0910b6a0,
+    0x617e70fd, 0x59afe60a, 0xf5a2cd8c, 0x628dd4af, 0x19851d73, 0x784e95b9, 0xbbea3474, 0xa1c072c5,
+    0x13e4ea3b, 0xe7b00839, 0xb1e80d9b, 0xcb0b6991, 0x450ae02d, 0x0dc45aa3, 0x77d5af06, 0x81ff294c,
+    0x959c81db, 0x2144beee, 0xc6d453cd, 0xe393c3bb, 0xe0510042, 0x879bfc15, 0x94208287, 0xdf621b15,
+    0x41cb3089, 0xb9bff890, 0x4298983b, 0x2bd060d9, 0xec45c6de, 0x34cd1cae, 0x9fc17345, 0x85771d35,
+    0x4b3953b9, 0x6d8417cf, 0x8b182e57, 0x84eef250, 0x1cdae482, 0xe4135a58, 0x7af46838, 0x2642fabd,
+    0x04bb6da8, 0x7b2c8bae, 0xbacb4ef4, 0x1f995939, 0x4a0ed300, 0x24cf4317, 0xc7516f6e, 0xf8d2fe9b,
+    0x62cfb22a, 0x2d15a56d, 0xdaf9e32b, 0xcd566612, 0x3dc1fa93, 0x2fa9bd80, 0xed0bfb4f, 0x3a348945,
+    0x0937ff3f, 0xbf5c85a7, 0x768a07ca, 0x7faf38f8, 0x8c8d72e9, 0x6038345f, 0x50a1e987, 0x5101fc76,
+    0x58f91d3f, 0x66337c82, 0xd6e9db8d, 0x9b3dbb2f, 0xdd6f62b7, 0xcbca022b, 0x222cfb0a, 0xd697c3cb,
+    0xf3cda15d, 0x4dc832b9, 0x0b592e7a, 0x4bdde9b3, 0xb27c4c0b, 0xeb2159a0, 0x785257a1, 0xc50d47d6,
+    0x0b912b44, 0x957bfb6d, 0x86941f32, 0xbe12fa86, 0x9c66c7c3, 0x9828ca67, 0xbbc92da7, 0x7cf52a25,
+    0xfd8916a0, 0xcc990cf3, 0x7e8bd366, 0xb136ebe7, 0xa5d206b4, 0x0107af8f, 0x572a7c2a, 0x758fc857,
+    0x9c3aeeef, 0x45b847ce, 0x877e90a6, 0xb99d4d68, 0x89c1eaa3, 0x6169c5e0, 0x5e6b54bf, 0x34b9a2e9,
+    0xbca22a84, 0xf104cef8, 0xf98f360f, 0xaf18f97e, 0x33c1d511, 0xa8879f70, 0xd113d626, 0xa9ded81b,
+    0x51f3e825, 0x5db86c99, 0xcd31e92e, 0x5a89369f, 0xca700676, 0x9a762d25, 0x9bbc1881, 0xffe32ce1,
+    0x574a776a, 0xf0a8042a, 0x44320dce, 0x61b2084c, 0x2a95a580, 0x9919af66, 0x26789d16, 0xf6c932af,
+    0x0203b6e4, 0x76c93b7d, 0x03f9481f, 0x3735b033, 0xdd97cfd3, 0xd8ddc178, 0x25b59552, 0x6427ca6d,
+    0x50b3653e, 0x7234384b, 0x8cb180a2, 0xaf2e2183, 0xe1ab1ef8, 0x94b917ac, 0x754af151, 0x302e8096,
+    0x39a19a21, 0xba6540bf, 0x2b67e172, 0xb1f1941a, 0xefc832c5, 0x0c213ff8, 0x2cc402a8, 0x9f6edfe4,
+    0x232ddc17, 0xd30fa4cf, 0xff73a6e4, 0xa7f62f39, 0x4d47db2e, 0xc434449a, 0x075dbef3, 0x7a49e4a1,
+    0xde9ff96d, 0xf8ce64c1, 0xfabf4096, 0x5e136cd2, 0xac15af98, 0x3c94516d, 0xcec74363, 0x41321a6e,
+    0x253dba18, 0x2a2a6b22, 0x7280d66f, 0xfed23feb, 0x8621f76f, 0xcee02a7f, 0xde41151a, 0x6f356174,
+    0x30f865e2, 0x89f33389, 0x8a284989, 0xee40bce7, 0x30edeadb, 0xf3b237ae, 0x19530ebb, 0x7eb9edef,
+    0x5ccc47e9, 0xdcf4ffb9, 0x70b60f57, 0x991f55bd, 0xf45f6b41, 0x092b3dfe, 0x0974be0b, 0x2340c701,
+    0x6821d9a8, 0xd3fe26a4, 0x65a773ad, 0xf89c1cc2, 0x51b36e19, 0xd85eb106, 0x5a3c1790, 0xf1fdb2da,
+    0xc601ba3a, 0x206b63b0, 0x64db57ff, 0x1121cae2, 0xab152f09, 0xecb345b8, 0xcad2f5d6, 0x4fc489e4,
+    0x4f8c5255, 0x298f5bfe, 0x11555faa, 0x446a1d29, 0x6494a86c, 0x0aeed4cc, 0x03f438de, 0x8963bec4,
+    0x947f22d6, 0xf08f9944, 0x1bfd05c8, 0x7df11e4c, 0x1ad78d7d, 0x8010c42d, 0x63407564, 0x5ca38864,
+    0xf90cae5f, 0x14735ba5, 0x1e33b6c1, 0x3b1e3a50, 0x87d0018f, 0x8b7ee9f9, 0x31232989, 0x9fa8ea4b,
+    0x31562d4d, 0x876de35c, 0xac7b12ce, 0xec6b65a3, 0x49b7a772, 0x2432fef3, 0x41c501ba, 0x7e80653c,
+    0x4486aa0b, 0xbd98933f, 0x3e2b6d81, 0xd3e2ff3c, 0x054025f5, 0x61174105, 0xaa5ad66e, 0x0c093712,
+    0x7c2a3772, 0xfd400165, 0xc8149941, 0x750cc252, 0x81852135, 0x542bb469, 0x4fbdce53, 0xdb3de45f,
+    0x9b6e0416, 0xee54322b, 0x5ec9c97f, 0x35b77545, 0xa03f011e, 0x29045aa6, 0x5a235b70, 0x490bf2bc,
+    0xda843642, 0x25e485c9, 0x7ddf8845, 0xeb903b65, 0xe43cc102, 0xf9e5be17, 0xbfa8ca90, 0xbd26eeba,
+    0x001c6664, 0xfae9180b, 0x2694c98a, 0x799bfe6f, 0x85a6dd65, 0x7938ed38, 0xe6769a56, 0x360d5467,
+    0x1bda757e, 0x6b94ea21, 0x60b1ab8f, 0x564a0426, 0x53277df3, 0x80ac615a, 0x7a515bf5, 0xaf054ee5,
+    0x7ead9459, 0xd413f6a6, 0x93d8666d, 0x1afd314f, 0x83b60a45, 0xb95e51b1, 0x810f2cfa, 0x077881b1,
+    0x12daf27b, 0x8ff0cfd6, 0xd8b3e1c9, 0x46fe079f, 0x523a8e89, 0x10ae9021, 0xbb6b48fe, 0xcdb44b6b,
+    0x45ab732c, 0xa00fcac5, 0xc9dc522a, 0x68c7976e, 0x70ee29b0, 0x70f558fd, 0x9ad9f1d4, 0x24c90956,
+    0xcf5bb2ba, 0xcde1267a, 0x3d98da34, 0xf007cfac, 0xd9793931, 0xa1ead9c4, 0x2d606c08, 0xe85ff04e,
+    0x1a18a31f, 0xe5a32c9c, 0xa928535f, 0xccc85566, 0x893539dd, 0xa1433513, 0x831546d3, 0x2dab5f3c,
+    0x356922b6, 0xe4eac008, 0x3c9b1c49, 0xf19a4afb, 0xd908f509, 0x31d61b0e, 0x4faa7839, 0x5ccdecba,
+    0xc148da7b, 0xe206f631, 0xbc038bbd, 0xbf201e95, 0x5ca0ac38, 0x88c28d17, 0x2f0baeae, 0x19bbcf64,
+    0x3bf51f77, 0x2422bb35, 0x5a04d2ab, 0x3a791737, 0xf27cd743, 0xa5f9db61, 0x7e1daa0e, 0x34813a3c,
+    0xac7c2851, 0x2c6a71e7, 0x7ee3e1a6, 0xd7766088, 0x7a0510ce, 0xa6470e08, 0x623f3f39, 0x66147130,
+    0xfa888a32, 0x36346a30, 0x202c2a27, 0x9cc4044f, 0xadf86318, 0x3196a725, 0x90fc147b, 0x7223ecca,
+    0x4a402526, 0x049c0fb9, 0xc0cc3521, 0x4d7a5bc3, 0xce09617d, 0x8b750991, 0xd3542ee9, 0xf6c50348,
+    0x3ef90a8d, 0x03cc46a6, 0x217fe0b6, 0x8e690e09, 0x31c1fc7a, 0x756e99cf, 0x2f3885a7, 0x66e27de5,
+    0x0b237924, 0xa33e75ea, 0x11ad907e, 0xe2a526e3, 0x97ec00f5, 0xf3790066, 0xbb7a9db7, 0xb1dbd10c,
+    0xf2bd486e, 0x3441f790, 0x772baee3, 0xe37a0373, 0x2acca168, 0x27364d49, 0xa62a7cfc, 0x60a06d32,
+    0xb23bce33, 0x9b3f7b46, 0x4f2a8b14, 0x26a946d2, 0x3f629464, 0xdb0d18f5, 0x773a0774, 0xf542ea54,
+    0xd161b360, 0x048d8aab, 0x0493562f, 0x27d3b2ad, 0x296db3ff, 0x59879ad0, 0xa110d2f2, 0x32ff6049,
+    0x5c2b8945, 0xedc22659, 0x0045cf18, 0x1c25a19a, 0x23c6c191, 0x9edff658, 0x3833ffc8, 0xebb67a6b,
+    0xeb100a59, 0xfee82d2e, 0x1cd8d90e, 0xced1e58b, 0xb1243ca9, 0x90ee0347, 0xf264577c, 0x78c02007,
+    0x94dae498, 0xc3cf8e14, 0x7fe7aa13, 0xd99ab19a, 0x1083a806, 0x18eb7b7d, 0x1f14ed54, 0x646eb062,
+    0x0be57747, 0x6de5b073, 0x37409f6e, 0xaec4b56a, 0x2101b5bc, 0x027d0da4, 0xd4b59f99, 0x6510ba42,
+    0x3aa7f750, 0xb5c509d2, 0x092bcbdd, 0x9b74c0ee, 0xcaba5298, 0x298c8399, 0x97997946, 0x4cc2c94b,
+    0xc100b6ac, 0x1bf66913, 0x90ad5bf9, 0x1c5e10fa, 0x44d3333a, 0xa5f6576c, 0x60fc866a, 0x6cde0ce4,
+    0x9af8c75e, 0x547ea610, 0x5d625d95, 0x098b4304, 0x2bfe8a6a, 0x68551902, 0x48f1bc94, 0x32117fcc,
+    0x4ce6a538, 0x4a891d75, 0x9b6dfaee, 0xc251501c, 0x083b766e, 0x5cc0884a, 0xdd7f252d, 0xa0dd21a5,
+    0x0457a8b6, 0xa20560f8, 0x986df628, 0x64f3243b, 0x15478dc1, 0x6055f198, 0xb4494b72, 0x8f8c9e4b,
+    0x159f0118, 0xe636834d, 0x08ab0724, 0xe884bcbf, 0x0d9502a2, 0x799fac27, 0x7bbb6e41, 0xba55befc,
+    0xddb09960, 0x8e077d6c, 0xe07df311, 0x3083d34b, 0xa903f07f, 0xa12a2368, 0x9953e4fa, 0x3ceff142,
+    0x29bc1c9b, 0xc879197b, 0x9a584d0d, 0x11e29d16, 0x16b2df95, 0x4bf3da1c, 0x8b78ba43, 0x08b1ccdd,
+    0x8235e904, 0x39c8b87b, 0x40acf482, 0x3ed5246e, 0x0db5c0a9, 0x85c951fc, 0x4b0a0c48, 0x808f6ee5,
+    0x6d57f46d, 0x7fc9713f, 0x2350d621, 0x7960d082, 0x0cc01642, 0x84e9ba99, 0xb130999d, 0x7164164f,
+    0xb47b8280, 0x06bf3833, 0x853d4aad, 0xfd98195c, 0xf9c0d8f1, 0xe146ab09, 0x502387c1, 0x07b30db2,
+    0x4bc1b483, 0xbcaf7d8d, 0xd58864b2, 0x64ad0d59, 0x319e182d, 0xf5f2372e, 0x16d5bb7b, 0x727a50c2,
+    0x2bc1b43e, 0xda853a3d, 0x435ec94b, 0x28785ab5, 0xf3aaf92b, 0x1afcda4c, 0x6f24bc4b, 0x415bb3fb,
+    0x1c55ea1c, 0xd192fab6, 0xd58c62a4, 0xccde3d27, 0x0f4e522e, 0xe23c6bdf, 0x4af2c83c, 0x06a0a1b1,
+    0x31622595, 0x28abda03, 0x9ce48a20, 0x9b56fab5, 0xba91b5ea, 0x3854a32d, 0xc3eafdbd, 0xe4d99f11,
+    0x4de2782a, 0xcfb3a180, 0x77b41631, 0x9229fa2d, 0xde9cee9e, 0xe836f811, 0xa8a8f4b6, 0x25b70bf4,
+    0xf81f4716, 0x877ee7c6, 0x095b1794, 0xb9685044, 0xaf0c3da9, 0x501e720f, 0xa3aef903, 0xe58fc25f,
+    0x9f5051e9, 0x1e831cf8, 0x628e3a6b, 0x5ab1d53f, 0xe8fa7e33, 0xdcebd66d, 0xf872a144, 0x79f333bd,
+    0x149ee751, 0xd4ad3b4f, 0xd17c8986, 0x003c3647, 0x2cf0e52a, 0x59fb63a9, 0x80048d3c, 0xdd86f2ea,
+    0xa9b4693f, 0xc88a8b69, 0x7323e07c, 0xb58bd7e7, 0x8eea9c2e, 0xd9774f97, 0x57ba99a4, 0xabb71d02,
+    0x564e12bb, 0xd943a6f3, 0x85b5578e, 0xf3d1a6b6, 0x95b450e8, 0xed0dedc2, 0x9077d0d5, 0x6051aa6f,
+    0xce7a78cb, 0x13531eae, 0x520faf90, 0xff739d46, 0x497593b1, 0x120a4f66, 0x5fde029b, 0xbb79d2b2,
+    0x3287870f, 0x26961edb, 0xe1326e14, 0x1ff746f3, 0x0e8da57d, 0xff72522e, 0xbfd34543, 0x39e69644,
+    0xff148715, 0xd45391a2, 0x427ca420, 0xa7a9926e, 0x329a0ba3, 0xd94e33cd, 0xc932aa8c, 0x17fe6250,
+    0x974da2ed, 0xe22059c1, 0xee369328, 0xfda505ba, 0xf333b296, 0xa47eda9b, 0x6b31e29b, 0x5c6c3b85,
+    0x416d2790, 0x145dd6b9, 0x8d1c2e74, 0x297a7e09, 0xb4aa0ff7, 0x563c1632, 0x0fb4f645, 0x66a0d9ee,
+    0x49c938f1, 0xfbaee8eb, 0x82fe09bc, 0x154f8c60, 0xa0fa26e5, 0x95037b98, 0x50c6e866, 0xaa144038,
+    0x53660a79, 0x96962245, 0x1aba112d, 0x16e4ae52, 0x389d1ff3, 0x9dd240c2, 0x4ae3bcbf, 0xbf48a3e0,
+    0x9fa5dc9e, 0xd2980ca7, 0x8491b197, 0xd478798d, 0x6f888e7b, 0x409f9bc8, 0x2cb9542d, 0x12f32cf3,
+    0xeff7b797, 0x2ef92430, 0x2080f74f, 0xb0c79292, 0x24318755, 0x320156e2, 0x2ff2a9bf, 0x8deee6ef,
+    0x00000000,
+    0x49d500e3, 0x28125993, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000046768052394588893382517914646921056628989841375232 */
+  { 0x00000000,
+    0xd913f27f, 0xecde32a0, 0xe0a5f63c, 0x90979a4c, 0x6d735e74, 0x6b5b54b1, 0x880dad3a, 0x45c91ac2,
+    0xacef294c, 0xc4523c3c, 0x97114a9d, 0x0386c062, 0x543e7eab, 0xcce58819, 0xaafd3b12, 0xf2d6799b,
+    0xc865ee07, 0x965cb24c, 0x21e10a7e, 0x4ecfff33, 0x639aef3f, 0x61b0adea, 0x54a2b431, 0x66bf403f,
+    0x099e276e, 0x7aa34aea, 0x39cac961, 0xeec6147a, 0x29bbc22b, 0xf0bc1b5e, 0xc51433f7, 0x4a11fe3c,
+    0x98d9c2ee, 0xf9a74621, 0x870b5a73, 0xd0b6dee1, 0xa4633c83, 0xec093a51, 0x24df8777, 0xee970ace,
+    0x757efa94, 0x4f9dac71, 0x1ae21e8d, 0x49ab8847, 0x9b2ca0bb, 0x5f76b62f, 0xf95ca815, 0x7bbe072e,
+    0xe82ddf82, 0x4a6994fa, 0xca226669, 0x5ce6f4c5, 0x33a2e142, 0x7fbd2b2e, 0x7c62b6f0, 0x6158641d,
+    0x2fa39f96, 0xfec48339, 0xf8b59081, 0x51151573, 0xb4912f45, 0x65ff5908, 0x31373e43, 0xbc942718,
+    0x2b230582, 0x8098bc7e, 0xa4bff444, 0x5d4c5781, 0xc76a6df1, 0x3ef9b503, 0x4d92c59f, 0x843b5660,
+    0x93f355ab, 0x1e2ebcd8, 0xbcb31f2a, 0x056a11df, 0x1b454237, 0x114b0f04, 0xab5dcdae, 0xe8c23821,
+    0xad9ace79, 0xe872f072, 0x1ffa7d80, 0x2ec61605, 0x9ee8731b, 0xcfd499ab, 0xb22bd51a, 0x210e856c,
+    0xf76af137, 0x7dcad924, 0xe2700fc8, 0xe2dca876, 0x020a6a14, 0x16b1998e, 0x45a573b4, 0x7e998047,
+    0x6fd809bc, 0x983e2302, 0x2410c6a1, 0x1155dc94, 0x056d3fa8, 0x3e4750a0, 0x703872e0, 0x9506467e,
+    0xd4c45737, 0x32384065, 0xa86df6b8, 0xb77db12d, 0x571bfd82, 0x6ba6b89c, 0xf3c9c7be, 0x80a1da03,
+    0x05a77bd5, 0x2ba873b0, 0xff883996, 0x2111ba31, 0x483dce59, 0xa8ed4c0a, 0x0156041d, 0x49b50821,
+    0xd946013f, 0x3bae0382, 0x25fa9f89, 0x0392496c, 0x204cae34, 0x0c8024c0, 0xb43032ee, 0xeb986229,
+    0xa67e5af8, 0xf634b17d, 0xe8fc728a, 0x8cb09b23, 0x0fcee204, 0xd920d66d, 0x816da6c2, 0x3b2dfca6,
+    0x2c1295ba, 0xa4bcf990, 0xf01ea74b, 0x5ee7271b, 0xa23ad59c, 0x89e8cfa6, 0x527e474e, 0x2cee5556,
+    0xb0153de8, 0x0326490d, 0x18252bb5, 0x075f40b7, 0x3a315574, 0x57ce68dd, 0x1e318e26, 0xd3e74019,
+    0x1874cf9a, 0xe9c09e97, 0x14d0719f, 0x3021e964, 0x83d86008, 0xea73b6f8, 0x3bf4829a, 0x69742c2d,
+    0xd727d593, 0xadd766d2, 0x7d10a01c, 0x1e56a323, 0x1f9c0729, 0x0468432f, 0x7082231e, 0xbf1cc0c4,
+    0x0e1bfe9f, 0xd307a7d1, 0x0594e03e, 0x1c1c39bd, 0x9635e189, 0x506e38fc, 0xd476febf, 0xc76f85de,
+    0x98a96c7d, 0x38bf7c3b, 0x68160289, 0x43f7e6b0, 0x609afa0a, 0x560fe977, 0x54e2f3cd, 0x4ae0a177,
+    0xaa80d7af, 0x0802cc03, 0x640fbdf0, 0x7356e7d2, 0x5033e173, 0x01a858a0, 0x5572c4ec, 0xf4647869,
+    0xd4745f80, 0x80943757, 0x0dde429b, 0x92bdf921, 0xbfed8e77, 0x71453d9e, 0x467cecf4, 0xa5d40ff8,
+    0x14352076, 0x7b5aeae5, 0x4220be1d, 0x21e3aef4, 0x39650db2, 0x7fc0c066, 0x1a27d738, 0x5e8c5b8a,
+    0x4ad6d376, 0x07ecac9c, 0x2569bb76, 0xde767a0f, 0xe0a289bb, 0x7c68b87b, 0xf55a2707, 0x7c73e105,
+    0xe879f861, 0xc0fcf240, 0x86cf6167, 0x1799f2d8, 0x42ede8ff, 0xd4357cb3, 0x2a5e9dbc, 0x198129ff,
+    0x0ca2848c, 0xa8e5cb0e, 0x6e39e6f7, 0x53e90f17, 0xe8ec9eb7, 0xdf67ad79, 0x04976c06, 0x61a74cac,
+    0x704d81b2, 0x4944c8da, 0x0eb31881, 0x3d7a627f, 0xd929c228, 0xe4d6ea3a, 0xb32ff0a9, 0x08bee704,
+    0x56cdcd60, 0x344cbbd2, 0xd711409c, 0xa83aafb9, 0x1c673f0a, 0x100b294e, 0x7e06274b, 0xaeb7569b,
+    0xf13c94f1, 0x19cdf59e, 0x04ccf9d5, 0x3a6d8f34, 0x0eb1675b, 0x0ab18157, 0x4c399384, 0x06e737e1,
+    0xa540dd8d, 0x04d2cfd7, 0xc0401fda, 0x2921836b, 0x0ee7bef5, 0x36ae259c, 0x313ef340, 0x5b06efa8,
+    0x62c98cff, 0x2daf2a39, 0x7cd0ceb0, 0x015ccfab, 0x9cb3b096, 0x1831082f, 0x1cb4b306, 0x2e463d4f,
+    0x53d93713, 0xc20cac54, 0x204ea7a5, 0x937c8f9f, 0xa236dd55, 0x17bdef1e, 0xda133562, 0xa2bd8a0d,
+    0x8572454e, 0xb442b3cd, 0x716e804c, 0x573281ea, 0xb2592270, 0x75df3398, 0x3dc3b1f7, 0xffd27a4f,
+    0xeb4e71ae, 0x5b7263f4, 0x13437a04, 0xa55ad18e, 0x0abdd536, 0xa5196fca, 0x985713a4, 0x20c1ab86,
+    0x26cf7414, 0x3bc5a93c, 0x8c2d0cea, 0x630f5ea2, 0xba65861b, 0xd871b4e8, 0x0e710317, 0xa9b8126f,
+    0xfcc832b5, 0x328a8d13, 0x56af6210, 0x77707027, 0x13599d91, 0x40a9597a, 0x56bd4328, 0x76bd28d3,
+    0x0df403c1, 0x70bada8b, 0x9745c047, 0x2828bb65, 0x0069d5de, 0xe92efc46, 0xf6bacf26, 0x1fa4fb5c,
+    0x428a1820, 0x89f84613, 0xf1c6dc37, 0x6722ae11, 0x81e7b69c, 0x2b9abd79, 0x2ff8ed8b, 0xe3dde51d,
+    0x06d02db3, 0x06568dc5, 0x03119f15, 0x753578a1, 0x267524dd, 0x8fba69f4, 0xf2e885d7, 0xf78eae77,
+    0x119a20fa, 0x931ee6dd, 0x525555b9, 0xeb8a7b23, 0xa18d626a, 0xecedd067, 0x8774bcd9, 0xb6eb961c,
+    0xf92d5a83, 0x0a675ba4, 0x9dccf8cb, 0x4bc57b8c, 0x9d0d1440, 0x1eaeec09, 0xeadda96e, 0xe9e7ebbf,
+    0x762ea7dd, 0x606ceffb, 0xcd133ebf, 0x9118befa, 0x61d3699f, 0xf39e50d6, 0x4c101e27, 0xd8db1393,
+    0x27ed7b4c, 0x5bec3e48, 0xc405c874, 0x3d3024e9, 0x0658b8a8, 0xc32a7ebc, 0x83503877, 0x0421910e,
+    0x341924a1, 0xcb05ccd9, 0x5dda4132, 0xcb2913b0, 0xa8d15b7e, 0xdb287f5c, 0xb8f11668, 0x1e35cd7d,
+    0xe9d5a163, 0x96bcd7e0, 0x153a4f7c, 0xf74c9afb, 0xa5b6e6bc, 0x0aed7730, 0x28e97016, 0x6e13a42e,
+    0x36d96a00, 0xc9418a8e, 0x9555f5da, 0xcdd5b37e, 0x2d4f6206, 0x3cc6d2a0, 0x935fc017, 0xbdf86407,
+    0x63a34aab, 0x8a8a316d, 0xab8135b3, 0x4fe4c513, 0x73b4098f, 0xf659e6e1, 0xca9704c8, 0xbbbf78e4,
+    0x0dc36cb0, 0x042c996f, 0x37bf22b6, 0xe8b31c54, 0xc03c651d, 0xd5c68f13, 0x281869e1, 0x64171a82,
+    0x326a6c53, 0xeac3fa63, 0xdc61d86d, 0xd8c078ff, 0xb8263b4b, 0x2f14495e, 0xdfd9a1cf, 0xe7cdfa96,
+    0xa757ef1a, 0x380d3f72, 0x0a50f47c, 0x6490aeff, 0xd6cc74cb, 0xab02649e, 0xa5f990f1, 0x4fc97e31,
+    0x1810f3ac, 0xedb52a8a, 0x70a19cb0, 0x4f8b43d6, 0xee25f766, 0x1002be32, 0x7204b50c, 0x3c66d375,
+    0xd012ef8e, 0x0dff5970, 0xae45fa82, 0x0c97e18c, 0xe9da56a6, 0x1993b53c, 0x6b48c26e, 0x0a8efa79,
+    0xe12a37ef, 0xfc8a3534, 0xac3ee549, 0x217f2cd6, 0x083b520a, 0x5f20e0fc, 0x04fdadeb, 0xf0734a50,
+    0xccff877e, 0xfdd60aa1, 0x91325a90, 0x0bee93ef, 0xcb3cb72b, 0x73992c22, 0x3346f840, 0xbd47abd8,
+    0x3b704ebc, 0x5ccbdb92, 0xe234dbc1, 0x0245aaa5, 0x0d1d954c, 0x168a82c8, 0x63326ad8, 0x10d08cee,
+    0x224d2ab2, 0x3b2f0ce7, 0x1575437e, 0xad19cf25, 0xe4c5e4ad, 0x81c7fb18, 0x7eb1f9d7, 0x54585626,
+    0x7deec5ae, 0xc1020d97, 0x881f0435, 0xe12e36cd, 0x961f8e5b, 0x48cf65b6, 0x7b1f7e9b, 0x3e7825be,
+    0xc107148b, 0x561c4b09, 0x5e1a4cc1, 0xf313b9de, 0x67885279, 0x46af7277, 0xccd93ed9, 0x4288eaf5,
+    0x2b2b532c, 0xe9bd6786, 0x8d01cba8, 0x4e422fcd, 0x90b0c568, 0x3c970de4, 0xb214ea72, 0x805bece4,
+    0x8266fe5f, 0x5160bd0c, 0xf9f371d2, 0x590423ea, 0xda061b6d, 0xd234bbc6, 0x34348bcb, 0xd8e399c8,
+    0x817ba68e, 0xcebce069, 0x704d120c, 0x6670bf46, 0x9c4599d0, 0x559cd1e2, 0xef8306fb, 0xb5ea0339,
+    0xf1ea81b5, 0x5b43a797, 0x4b8ad127, 0xe1a65c0a, 0x867df3e2, 0x853fe563, 0xa930dbdd, 0x5fbf90d5,
+    0xc8415b04, 0x16e52efb, 0x72151dbc, 0x19f0c7b0, 0x9d7cda7a, 0x4a9d7ed8, 0x0001e2ed, 0xb824eafc,
+    0x97758699, 0x862114ae, 0x049d83ee, 0x9861e378, 0x47632e86, 0x0864aa01, 0x47aec808, 0x36bb1740,
+    0x5fa159c1, 0x14aa7228, 0xa2a39d9a, 0x9b5c35d9, 0x1cff5e4e, 0x35d98826, 0x0774c6e8, 0x303b3cfb,
+    0xbbd86a21, 0x1cb8a9ad, 0x14af1f2a, 0x9010a667, 0x07d24ceb, 0x6a6858c4, 0xa3c87567, 0x001bb1f9,
+    0x60a2eaed, 0xbe8cebbb, 0xe0f9b4ec, 0x73e4c73a, 0x3acb545a, 0xf3d967d0, 0xaf801df2, 0x3d920774,
+    0x3cc633d1, 0x882e0866, 0x0d525a1c, 0x4cddf90e, 0xc76ac3ec, 0xb1e9d3e9, 0x4faadaf7, 0x90142639,
+    0xfa34ff42, 0xcab8ea72, 0xfef390cd, 0x44605928, 0xfee32d4d, 0x341b4164, 0xc16d795a, 0x826944cc,
+    0xce5b65cc, 0x4c0b5e54, 0xba68d6b1, 0x9f88479a, 0x66956f80, 0x3f9c3f68, 0xa178fc45, 0x783a042a,
+    0x7490bc8c, 0x70633d42, 0x2fa6bb70, 0x9f0f5c5b, 0xb412c4b3, 0xb86b8d9f, 0x0d17925f, 0xe11bffb8,
+    0x878ef848, 0x979d7ddd, 0x38325f3e, 0x67b7c48a, 0x38c95bf2, 0x3eeb0790, 0x40fff7b2, 0xb8a66e80,
+    0xced43943, 0x4939bb1b, 0x0632d520, 0x0ac4c455, 0x0dcec3a4, 0x5931d505, 0x24b2905d, 0x68c0e626,
+    0xecd7a831, 0x007f9a91, 0xcc503d6d, 0xf3924b31, 0x3b79c44e, 0xcd8cd661, 0xf544e2fb, 0x27be1f20,
+    0xc045de69, 0xda29cd6d, 0xaf024cf5, 0x5a3149f0, 0x66680d06, 0x1b80ef79, 0x96f1a035, 0x4b9fa4fb,
+    0x55e29ef7, 0x5b7c4cac, 0x5a610431, 0xf5d3a758, 0x488f0408, 0x8cef2050, 0x1573c082, 0x0891b09e,
+    0x469d4472, 0x0ab6b052, 0x442ef9bf, 0x45bcd1a7, 0xdfd68259, 0xfc83b54c, 0x6cd95587, 0x55903e61,
+    0x6223dcb0, 0x80d6792e, 0x97143bfb, 0x0c58fadd, 0x2420493b, 0x7ee15b3e, 0x35ee868d, 0xbb92a2fb,
+    0x21f4f3dc, 0x2ef7130f, 0x963fe3d3, 0x4a4bece9, 0xaa7db13a, 0x98537f41, 0x8ef60e2e, 0xd4d8a5c7,
+    0x1819a1e2, 0xc569f3d2, 0x729a4de5, 0xb6cb8a7b, 0x094d50ac, 0x4d160c92, 0x4578d985, 0x0c23624a,
+    0xd35785c0, 0xc112cbb2, 0xd255db51, 0x987df6ee, 0x5ce59665, 0x02c82aa7, 0x4b4875a7, 0xe1398527,
+    0xa51ed58c, 0x9fa74f02, 0x4149965b, 0xdbfc5a27, 0xb2ad8683, 0xdc7e0262, 0x26781391, 0x857a20fc,
+    0x60335ba9, 0xe7dc9263, 0x1bb6cf82, 0x60f71866, 0x9a14a2d3, 0x479b3b6f, 0x94e6e8a9, 0x0e6058e0,
+    0x8d2d3518, 0x4d80eb2e, 0xf2b25b97, 0x903bc530, 0xe72fa499, 0x72717ec5, 0xef13b3c0, 0x4f732851,
+    0x616c316d, 0x18332089, 0x95357b2c, 0x81a141d5, 0xe66a4b1e, 0x5b129059, 0x0948e092, 0x54041760,
+    0x6674ff6d, 0xb28c8c64, 0x2742eac2, 0x27d2ccd6, 0x0d9758e2, 0xb385d4d5, 0x3ebf974b, 0xde80f5f4,
+    0xf283e2ca, 0xedf1de78, 0x622e36c3, 0x703d11cb, 0x8b4f037d, 0x00356acd, 0xddac247f, 0x04496b90,
+    0xb6327c62, 0x0523f842, 0xb6b2d984, 0x5d1ae8a2, 0x373ceaf1, 0x67137605, 0x8629c38d, 0x759c5051,
+    0x525ffd18, 0x751748ed, 0x6460bd75, 0xd971b037, 0xc8357689, 0x8715f775, 0xda0eb204, 0x15d3390c,
+    0xa270fbd8, 0x63763c46, 0x7da09de3, 0x2f7e2623, 0xef61029f, 0x751ae14b, 0xa57f338b, 0xf8b15fb0,
+    0x1e9ac2b6, 0x7d9e627b, 0x4b6de6fa, 0x88fd593e, 0x596d7998, 0xdec71d2d, 0x743fa465, 0xa090363e,
+    0xcb5b2bbc, 0xf10425af, 0x7a369ba5, 0x91bfdd51, 0xe280bd3d, 0xd9f48747, 0x6c34dd14, 0xf0065cc0,
+    0x0c588aa0, 0xb1bab385, 0x15667985, 0x2b043fd9, 0x96f12121, 0xe2e76087, 0x680b2b3d, 0xadc2d570,
+    0xddfa0e6d, 0xb61e4d48, 0xa6082d80, 0xcbc9d18d, 0xccfbb5cf, 0x62ef89cb, 0xf3a3462a, 0x0e01550c,
+    0x18bdd13d, 0xcba9acfa, 0xdfa0ddc1, 0xb400ac07, 0xe1c4101a, 0x89e21bde, 0xfa93fcd5, 0x89ff748e,
+    0xea65efa1, 0x5e313bc3, 0x99ec9965, 0xa413523b, 0x20799c59, 0x510abae1, 0xb05fce04, 0x65d8283a,
+    0x4a50d8bd, 0x5704e8ac, 0x5619a121, 0xe458a1b9, 0x7c5a408e, 0xde76eda3, 0xd3e5dbd7, 0xd57cc865,
+    0x27678b9b, 0xd1e49df2, 0xdd400c62, 0xdab3670e, 0xc06ebead, 0x97ac370d, 0xafdf27b9, 0x8ddb4f78,
+    0xe3905da8, 0xb15999fa, 0xbe0f3895, 0xcda8e61e, 0x534004a6, 0xbfab5c7d, 0xa6a03416, 0x5ecfbcd4,
+    0x0abd48cd, 0x3deb0d51, 0x80d0369c, 0x3bc3fb46, 0x168fbaa6, 0x99eb9856, 0x3aff7988, 0x42237163,
+    0xada66dde, 0x1f471ad4, 0x8eaab19d, 0x4acbc160, 0xdcb19240, 0xcd38b998, 0x184835b4, 0x36751a86,
+    0xad021082, 0xf6f140ff, 0x3a5f3873, 0x5ab8777a, 0x9b5782eb, 0x4319918a, 0x47a705b7, 0x8e7f4c48,
+    0x33cc1b6c, 0xd25a6e01, 0xa5bdee2c, 0xb22e65a6, 0xfd8b265c, 0x5ae9389e, 0x2dc69d4f, 0xa9b06e99,
+    0x53f4b42e, 0x83f41038, 0x7174b658, 0xe09abb70, 0xdc80840e, 0x1097ec48, 0xeed312bd, 0xf21dc099,
+    0x202e83fa, 0x83cf7192, 0xda279988, 0x571b99de, 0x0487cf7e, 0x06e3c966, 0x5c324662, 0xfaadb895,
+    0x24edbe97, 0x3364b11a, 0xc235aa3a, 0x6a8d55ce, 0x67de8c5c, 0x690d2ff6, 0xe6c60e88, 0x2157242a,
+    0xe1870f5f, 0x50e20e01, 0x2423ce1e, 0x5ea59dd0, 0x14be0833, 0x347bda1f, 0xab1a5688, 0x37c1ac15,
+    0xc5f905b7, 0x591d0d85, 0x5a9c42b7, 0x2ce03908, 0x6cfccfce, 0x8d367b55, 0x99b2356e, 0x0b25d6cb,
+    0xf88616c1, 0xc08c6de0, 0x6895b42f, 0x5446dd3d, 0x8cabb5cd, 0xc69118b1, 0x9c91ef93, 0x3374ab12,
+    0xf9cabbe1, 0xdb974ec2, 0x8573d7f7, 0x82299900, 0x97e0bf0d, 0x59108c8f, 0x0446a7ae, 0x8647dfd4,
+    0x6dc50ac1, 0x97189b7b, 0x9ad4a1c2, 0xdf2adb85, 0xfb2682d0, 0x93285b07, 0xab6777f2, 0x880b4358,
+    0xd5493576, 0x489c1fcb, 0xf5a229cd, 0xa105939b, 0x24cad8a1, 0x6758821b, 0x62ee6420, 0xb29d97ab,
+    0x03fcf5f9, 0xf9fa78ff, 0xb67be50d, 0x2abde074, 0x8dde4f5e, 0x179ca04f, 0xc39e88fd, 0x50c3ef9d,
+    0xe845f158, 0x817f3def, 0xce3d9e14, 0xc1b97334, 0x242f1627, 0x96a5b6f9, 0x2a35701a, 0xf0d20ae0,
+    0x24ec4e2d, 0xdece5aab, 0x53acdb2e, 0xaf93e6c1, 0x05f03c07, 0x555f20c5, 0x7a3b06df, 0x34e29f25,
+    0xfdb331fe, 0xc35b7c5a, 0xa1afac08, 0x6bcc2a1b, 0x08264d71, 0xcef4cfb8, 0x6ba85758, 0xf7800b61,
+    0xbd75f3dc, 0x80a10b52, 0xbfeed8bd, 0x1db4bf7e, 0x24848ad3, 0xfead9815, 0x3165a97d, 0xa7534814,
+    0x8ada4728, 0xfd057a8d, 0xe71deada, 0xb88b75c4, 0xa97212a3, 0xf1787c9d, 0x0db37e88, 0xff0a12e7,
+    0xc89431bc, 0x5c706fcf, 0x72605a39, 0x965980e5, 0xee36accf, 0x1fccafcf, 0xdc1ac49b, 0x0c408f44,
+    0x5003a365, 0x9ebc838b, 0x6cacbe6c, 0xf9c3b2bb, 0xa4b4ba6f, 0x4e4b721d, 0xaf90f4c1, 0x84e43c55,
+    0x8861a860, 0x669a6c01, 0xea6e89fa, 0x065949a0, 0x42801d33, 0x7a538d72, 0xd68756f1, 0x579cabbc,
+    0x0230faef, 0x4d355164, 0xcb793aec, 0x5bd08e35, 0xc084513e, 0x4db3f15f, 0xe4a4fa0a, 0x14b1f472,
+    0x104020be, 0x341eb036, 0x3173983e, 0x64e7cc66, 0xfaf62baf, 0xd02bb881, 0xe86cce95, 0x86c96454,
+    0x00000000,
+    0xa4ea8071, 0x94092cc9, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000023384026197294446691258957323460528314494920687616 */
+  { 0x00000000,
+    0x2be39a58, 0x4bc26716, 0x66e66da0, 0xf8c6c51e, 0xa00fe88c, 0x2fa2c09a, 0xfe743882, 0x92bb2e8b,
+    0xdd1dcee7, 0x0764598a, 0x18c4b6c7, 0x77455586, 0xb37a9362, 0xc9502415, 0x2c1760b5, 0xe44e3e58,
+    0x3f6ae497, 0x4e66ad67, 0x25ecb9c8, 0x0a0e0a60, 0x5283dba2, 0x2ef271e1, 0x5c493c68, 0x640c9076,
+    0x56163fce, 0x62945bef, 0xa56051f2, 0x6257e252, 0x04cb6330, 0xe0396dbe, 0xccd3adad, 0x4421808e,
+    0x33afb675, 0x35c18c2f, 0x716bea79, 0x79c03780, 0x8ccbeddb, 0x2d01c0ff, 0x8e1e73bf, 0x47711f7f,
+    0x9ff522f9, 0x094394b2, 0x010b765c, 0x91dee807, 0xe8ae8d49, 0xf8187943, 0x3603c166, 0x055c8404,
+    0xda950ac4, 0x74aac7cb, 0x0e8d45eb, 0x9965961c, 0x16967cd0, 0xf3bb59cc, 0x1c5e32c9, 0x93c775a6,
+    0xbfeb5db9, 0xce133c5e, 0x54834ce9, 0xd355f5e8, 0xb30d9cdf, 0x09ef39ec, 0x4045bdf1, 0x97081cae,
+    0xf9e2c37b, 0xa53a967a, 0xc21adfc0, 0x7f7aa530, 0x45f9cab9, 0xcd12a981, 0xcc1787cb, 0x9de3d157,
+    0x1b1cf942, 0x28d1faea, 0x9e8724ff, 0x96b2383f, 0x5076f3b3, 0x9f403ae5, 0xb358220e, 0x08472658,
+    0x4aee64e7, 0x0286f297, 0xf4171f41, 0xee648c15, 0xf7b1fec3, 0x1d06ad89, 0x3a5c6605, 0xeb565c61,
+    0x4fa47be3, 0x7f427dd6, 0xa2528ac4, 0x5efabe24, 0xd2e0e046, 0x7046a5ea, 0xf1f1dc99, 0x78a0a14a,
+    0x987e83bf, 0x013daf2a, 0xc473b6b2, 0x9e206cf2, 0xf8367038, 0x36a82b0d, 0x890c6454, 0xa38241b5,
+    0xbc301a1b, 0x7c6be3eb, 0x4cfe831f, 0xf36d9dc9, 0x9e1b0b13, 0xc070cd26, 0x7e7ff692, 0xa0197dc7,
+    0x11b61c0f, 0xad86d213, 0x57da03db, 0x95514da6, 0x9c11cdcc, 0xd5d6ff40, 0x89a14668, 0xaed77b47,
+    0xd409e636, 0x88426007, 0xa65eb73b, 0xcae64dd2, 0x712977e4, 0x369eea78, 0x2b7bb883, 0x1a1c4f0e,
+    0x3777c8df, 0xc3abc36b, 0x45c6d6d6, 0x66e83c3a, 0xff478104, 0x4d87c69a, 0x78b6964f, 0xff2a52f0,
+    0xa5f7b5ec, 0x2f82052c, 0xbeea771b, 0xfcd6fefb, 0xebbff948, 0x1327875a, 0x16785808, 0xc54cf41d,
+    0x10680fb4, 0xaf1c785a, 0x543a20ea, 0x657938d0, 0x8cb9f5d7, 0xbdeb7d0e, 0x6e456fa8, 0x8fe836ce,
+    0x82ad2e94, 0x6519feca, 0x8931b279, 0xa9ae9fc7, 0xbda82bf1, 0xe6cc9145, 0xa3fcfadb, 0x1decf44c,
+    0x1ef2863a, 0x8a504202, 0x7152acd6, 0x14ce1eda, 0xc048a7f3, 0x65f6317a, 0x3cf448aa, 0x29939c6d,
+    0xc6f67707, 0x6757597c, 0x3642a67d, 0x61a06d79, 0x0c1b5532, 0x361901fd, 0x4d04540d, 0x158fed23,
+    0xc3bb0ddb, 0xfe98ab42, 0x1305cf26, 0x0f01aa84, 0xb1a5a784, 0xe6073b94, 0xc522e60a, 0x58f240f6,
+    0x9e597b90, 0x2c62bae3, 0xa9fb0985, 0x4bef7958, 0x0bbfd20f, 0x39c5e447, 0xa82b9cbe, 0xe0770f47,
+    0xa7b61661, 0xa138c285, 0x6ac66903, 0x39c2cac7, 0xc6dfb753, 0x8b1ee554, 0xddad12d0, 0x28fa3c68,
+    0xc84b9f61, 0x90b71533, 0x15048aa9, 0xa925cdb5, 0x3df58c9c, 0xc96beb14, 0x4ac1acb6, 0x177dbf48,
+    0x9095e2f7, 0x42c8141b, 0xf433b6ce, 0x59d49ff0, 0x311df5a4, 0x761bfd2b, 0x337ddaaf, 0x18adac79,
+    0x0687ffbf, 0x250c83ba, 0xa0ebad68, 0x412cdd78, 0xdd3ede09, 0x4dcc4b76, 0xaa5a3da0, 0x03e4b67f,
+    0x14b5b2ed, 0x3c4b764f, 0x7fc7fb63, 0xb23c30a1, 0x637be1e6, 0xa137c83a, 0x4ae8ff00, 0x61cc2b9e,
+    0xdb4b1c8f, 0x06f5aa56, 0x1b7c91d5, 0xf21366a6, 0xcff67c13, 0xfa263c77, 0x138694f8, 0x8235a436,
+    0xc11157a2, 0x8cd9c86c, 0x60333263, 0x6a3b696e, 0xef13a51f, 0x16fa0f4d, 0x0f7f98ee, 0x43880b8a,
+    0xcf19715f, 0xb4c9f52d, 0xbc281749, 0x18401a5b, 0x6a9157a2, 0x8a0bc82b, 0x298fa933, 0xe2792d14,
+    0x3cf8532e, 0x38888b57, 0x808a3ad2, 0x4d7892a8, 0x9cb0427a, 0xb720fc6f, 0xc87537bc, 0x6600b26e,
+    0x1708bd2f, 0x3312547e, 0x44d6879f, 0xd38f2a56, 0xe98cd4b1, 0xdda13df1, 0x80a98ff7, 0xa6a3f3c1,
+    0x622ff906, 0xdfc66a0d, 0xb75b4b45, 0xa8ae9aed, 0x3b3acd41, 0x5ca3b3c7, 0x428a3f2f, 0x8e0d9f0e,
+    0xac132943, 0x123e54cd, 0x2aa0df47, 0xf31d2fa4, 0x9ef6f345, 0x772deb10, 0x5a2f72b3, 0x837494be,
+    0x8b1b99f2, 0xc9724a20, 0x37f94793, 0xe084efc7, 0x88cafd7c, 0x9cd1f0ea, 0x6fd2afa5, 0xab8f4036,
+    0xdafad5af, 0x65f95531, 0x375edc34, 0x11d27268, 0xf79020ac, 0x80ce026e, 0xeab76a7a, 0xdebbc0c1,
+    0xfdaf4396, 0x6afbc2e4, 0x03c23ff6, 0xb19c0c0e, 0x867ac34e, 0x94719bb1, 0x4dedc4ef, 0x772be3fa,
+    0x9a3a3c1d, 0x5f1f0e8c, 0x3f779653, 0x1d3b1cd3, 0xb52c3dd2, 0x62ae82fe, 0x050141b7, 0x184bac6e,
+    0xe4cc78dc, 0xb4434b3b, 0xddbc0644, 0xa1165462, 0x0468b472, 0x09a2a211, 0x8e52143b, 0xfbd49d3c,
+    0x3c7a8dc3, 0xbcb4180a, 0x66046fd0, 0xe11c738a, 0x0ee50c9e, 0x3074bd69, 0xc2b8dabc, 0xa2e29487,
+    0x53bab15b, 0xf2c0af7e, 0xe567c66d, 0xb37851bd, 0x212e131a, 0xef1bd7c5, 0x60976bcf, 0x6db1043e,
+    0xc2471c6d, 0xd5b1aa9f, 0x70148a60, 0x6937fe5f, 0xe122d8da, 0xa60e4c6f, 0x2af05fb3, 0x484873c2,
+    0x14639df3, 0x16caa2e6, 0x16490887, 0x7fa0641f, 0x932e7037, 0x9c553a20, 0x57702632, 0x2bca3b83,
+    0x36709b02, 0xa108b286, 0x1ccc2c68, 0xc17c26f3, 0x1243a17b, 0x12cc11f5, 0x7c689d81, 0x4b2ba36c,
+    0x740cbcc1, 0x85235d1e, 0x923772e7, 0x5861d1a9, 0x1331df92, 0xecc1df93, 0x2a5eec9a, 0x374d7b9e,
+    0x3360c704, 0xd8ce4937, 0x9455c9fe, 0x2ad9a77e, 0x3cbf60cb, 0xeac403ed, 0x63fa720e, 0x7eb15471,
+    0x0505182f, 0x4b20d94e, 0x8b000beb, 0xb89dd295, 0x81eacb60, 0xf70c6ce3, 0x499c3edd, 0xf17ca583,
+    0xf8d8f324, 0xf1311faf, 0xa0695f9a, 0x3f2baec3, 0x94b9cb5e, 0x2271dad7, 0x1a57bc31, 0x3c17451d,
+    0xfab72f73, 0xd471126b, 0x454f1aaa, 0xfdac995e, 0x72117325, 0x4f88a7ff, 0xf527ad4f, 0x4c685f36,
+    0x793c3d86, 0x2e2a4b8c, 0xa036e397, 0x0a3b2378, 0xebf5f692, 0xc6d61037, 0x5d4fe1bc, 0x60cff331,
+    0x7efa6dc9, 0x166c06dd, 0x13aafa55, 0xc1e8808a, 0x5c8b7337, 0x5d14397c, 0xd5c712ca, 0xc1552392,
+    0x648db768, 0x0e937acb, 0xf1efcb40, 0x1c333f87, 0xd0006dc9, 0x5e834a2d, 0xbc4031eb, 0xc519df96,
+    0x2277ece9, 0x8eb8a1df, 0x548a03ea, 0x561eb5c0, 0x2f39b60f, 0x6067724f, 0x19fe362c, 0x491d07ef,
+    0x80314c81, 0x62c9c061, 0x02f3a0f6, 0x4f9cb0c7, 0xad5661f9, 0xfe083329, 0x9aec485f, 0xeee99df4,
+    0xfc80c3db, 0x8180cc79, 0x99347a46, 0x16d1c659, 0x7eae5d11, 0x832ef5e2, 0x69caf5c8, 0xecfd51ff,
+    0x27350c1b, 0xc025bfdd, 0x0683b696, 0x76dbefac, 0x52f3efe7, 0xc6dce1f1, 0x575bd72a, 0x3ed9d998,
+    0x8e77410d, 0x620438cd, 0xecdc7245, 0xbb83ab2c, 0xfb0c3a55, 0x526d179f, 0xb49dc353, 0xb5e9b135,
+    0x4a4e62e5, 0x8f4c768d, 0xea0d0a1e, 0x4bf6d4bf, 0xa15360e6, 0x83301254, 0x07997c6e, 0xd7016df3,
+    0x20109926, 0xae1e6e9c, 0x82a33ffc, 0x37fd47a5, 0x081350a3, 0x27bc3786, 0x652b5fe4, 0x505e7320,
+    0xa6e44a12, 0x180fce6f, 0xd996e877, 0xf34b7d39, 0x73faa3f0, 0x3e6f859e, 0x4b673aab, 0x6a722f1f,
+    0xe76dabf4, 0x676e44e2, 0x40800028, 0x53d68525, 0x447ebe6f, 0x62d10272, 0x29957370, 0x18293f72,
+    0xc261244b, 0x3af477a2, 0xd9a08224, 0xd344c59c, 0x68fe05f9, 0x4c461597, 0xecf1157b, 0xaa8c19fe,
+    0x58174773, 0x227ed82c, 0x9ed6b052, 0x25be851a, 0xaa5ffe78, 0xf2fac277, 0xab8bba1d, 0x4a2f1feb,
+    0x8abe7453, 0x2dedbec2, 0x0e653f08, 0x553789bb, 0xab7e3e81, 0x173a8201, 0x4cc388cc, 0x96b38a9d,
+    0xcef91b2b, 0xb3169fd5, 0xd37aef31, 0xbeb9ae71, 0xc2620f94, 0xec32308b, 0xd52f3709, 0x046f9f40,
+    0xa4f29541, 0x14a758ff, 0xf20984d6, 0xcebb9f85, 0x67f4115b, 0xb523b504, 0x08be3181, 0x52bd5115,
+    0xcdb2d02e, 0xa72edada, 0xffa7e023, 0x63346c74, 0x2e0b6524, 0x43d20992, 0x5924c2a6, 0xc6b6136d,
+    0xcc3a54f4, 0xe19094eb, 0x4a8787ea, 0x3cef34a6, 0x2f71a1a5, 0xd5d4b2cc, 0x166ff6b5, 0x41cebfc9,
+    0x262160d9, 0x0cc880d2, 0xbabd861b, 0xa4690194, 0x012eb6aa, 0x2948b0b4, 0xf8d5938b, 0x85471ec2,
+    0x6bd4138e, 0x25d0abec, 0x3c3fad0c, 0xf7c9dcdc, 0x4b31513b, 0x6751ce87, 0x0f3f2906, 0xb32db581,
+    0xc61c8c21, 0xd2760afd, 0x0d0cf58c, 0x90e00506, 0xbc7f9fd9, 0xe5485978, 0xd80fafec, 0x060fe4fe,
+    0x22c095e3, 0x4aa87701, 0xb521326c, 0x6ad407b7, 0xa98bd5c0, 0x7c905276, 0xf0c2dfc5, 0xdc857acd,
+    0x1e582142, 0xb5664b53, 0xa059f726, 0x89ede27e, 0xfc3d7c4a, 0xb055c4d7, 0x60260bf5, 0xe755e897,
+    0xacf03a11, 0x0107ff89, 0x729f17f1, 0xf4e45ea3, 0xea02a6c6, 0x329b96f7, 0xa0300f6e, 0x12fcd6f7,
+    0x8e32181b, 0x3cce6229, 0xa7a6b349, 0x2efbfb5a, 0x35505e10, 0x9dafd546, 0x6280770b, 0x87216f9d,
+    0xe2a5c108, 0x495d4981, 0xf79c50ef, 0x6eafe35b, 0xd72ae54d, 0x530097bc, 0x7ece1075, 0x7e0a41e6,
+    0x73683ddb, 0xeed420e2, 0xf5ae3aaf, 0xde2df34e, 0xdc8faac2, 0x78c7c85e, 0x849e627a, 0xb2085931,
+    0xde040504, 0xa9feefcb, 0x9c14f67f, 0x2e3511d5, 0xb8337ca8, 0x2ad476df, 0x0164ec74, 0x972af63e,
+    0x5a07f604, 0x951f15fe, 0xc94313b2, 0x7b6747bf, 0x67e75b18, 0x3c5529bd, 0x07852431, 0xa1607998,
+    0x8b9a0c02, 0x2756f229, 0xe57839cd, 0x86cbdd33, 0x97eabc7a, 0x54896a7d, 0x617f2ca9, 0x81917f89,
+    0x12d45576, 0x4fd10e1c, 0xd0ba5e3f, 0x3bea91b4, 0x45e23986, 0x7ba36085, 0x6f45a404, 0xf2fd3fc9,
+    0x7a44aa80, 0x464c96a3, 0x73cef228, 0x9e67b3a8, 0x9ab87fcc, 0x1059b39b, 0xd5d06c42, 0xe133fe8c,
+    0x482d55e2, 0x771c68b6, 0x1f324cc9, 0x41836744, 0x79a71a88, 0xe9cf0472, 0xc3cd36a4, 0x31e6f1b4,
+    0x133f9bab, 0x7e3351f1, 0x672bbc7a, 0xdc0c7303, 0x8ca81a3d, 0xbaf50ebe, 0xe74c117c, 0xb88851a2,
+    0x8acab079, 0x8201334d, 0x5325112a, 0x2a2df730, 0x3f129377, 0xa59eadcc, 0xb4f9f157, 0x7b50a5b7,
+    0x53537a10, 0x137f8691, 0x13d40bf1, 0x2ea3fe10, 0xaa42babc, 0xe3bb31ee, 0x2ccb3336, 0xa95780f5,
+    0xd5a441b6, 0xe1c4c140, 0x422a4a6f, 0xbe80ce70, 0xdc9d79d1, 0xfae417ff, 0x23354c8f, 0x5e1243e1,
+    0x23174c66, 0x07ba6162, 0x869afd36, 0x952868e6, 0xb5a412b4, 0xde89ac81, 0x68d4ee2e, 0x54453db4,
+    0x97f761d6, 0xbbf2110e, 0xfcccb21a, 0xc3bec137, 0xea54f7e9, 0xe10cff6f, 0xde9ea86a, 0xc61acaee,
+    0xd4302507, 0xd0a981e4, 0x7c126eb6, 0x0f64a058, 0x20ef4a3e, 0xa9d563d1, 0xcc8cd8ab, 0xc7465fbe,
+    0x3d2cdf15, 0xf9df9c72, 0xd20d8f59, 0x5a40683b, 0x340b48a6, 0xfedce2e3, 0x05ef571e, 0xa6435e80,
+    0xdfc2acb6, 0x619382a1, 0x1ab68cc3, 0x0bd6d576, 0x51a4c599, 0x0637ec98, 0x0a441792, 0x4292395b,
+    0xafc315e5, 0x605857f9, 0x37789520, 0xb9f969ec, 0x257f102a, 0x2031432e, 0x64ecdba0, 0x3486a269,
+    0x53432f28, 0x8e852b91, 0xfbeaf827, 0x488742e3, 0xd5a0bde8, 0xd7f6d091, 0xfa6d2ff3, 0x36d77b21,
+    0x60425a28, 0x2d56c5c7, 0xf22bd4a4, 0x3f403d80, 0x67d75aaf, 0x1c53c0d5, 0xe782c5e5, 0xc4d869dc,
+    0x45bab6c7, 0xf9e4154e, 0x888e90cf, 0x51dc5adf, 0x9e8bb56a, 0xf318cc51, 0x35ab33d9, 0xb61ab44e,
+    0xc5dfed97, 0x77aa0e3d, 0x1ee6fe09, 0x7ce66ee1, 0xaf81a561, 0x8defb70b, 0x185e040b, 0x76d14417,
+    0x21a942c5, 0x3b23fe29, 0x74baab3b, 0x75c9f525, 0x623704c8, 0xad4538f1, 0xa9aaac04, 0x9753be74,
+    0x0f37ed1b, 0xf0da1060, 0xb9852d4c, 0x7c71ec6c, 0xc4a2058a, 0x7dae568b, 0x07d0f10e, 0x452e2926,
+    0x0741b294, 0x419196d8, 0x0cb65687, 0xf6371d2a, 0x53f9f1f2, 0xa23ab588, 0xccb392ca, 0x06c97640,
+    0xce1966c0, 0xbc80e5b2, 0xd5a88561, 0x0199da85, 0xe7a2f321, 0x1b2ddac9, 0xd8e49b5d, 0xe0fded59,
+    0x2b858d8d, 0x6f322260, 0x1c50df5e, 0x5c8b0e44, 0x62506803, 0x374653e8, 0x08704619, 0x5d4cb0b3,
+    0x77301719, 0x7c39228c, 0x0220ab6b, 0xbd24646f, 0x85b801c4, 0xd5108473, 0xa3cb151e, 0x3464e98f,
+    0x4ac38237, 0x6661bdcf, 0xdcadd6d8, 0xfa1926f2, 0xfaea39ca, 0xd20e98b4, 0x2a3338ac, 0x857645b5,
+    0x30b77186, 0xd13e0b5d, 0x4ae9a40b, 0xf06f3384, 0x6264dee0, 0x76e84fc8, 0xa737cd78, 0xa6931ee8,
+    0x6fdb0265, 0xbedffc5a, 0x0f3412fe, 0x7e292c54, 0xdd9a4b36, 0xe592adee, 0xbae1f519, 0xee9f91eb,
+    0xf16eedca, 0x4320492e, 0x80a54048, 0x5f98fe11, 0x7937e99e, 0xfe53dc79, 0xf00fda05, 0x08d1707b,
+    0xe96a1ee5, 0x4e247929, 0x6c784292, 0xf2f0c8e1, 0x7ac2db34, 0x03f13c86, 0xef5c2886, 0xfec2030f,
+    0xe19a3f1c, 0x06024594, 0x33875dfd, 0x07984aeb, 0xc11f8b84, 0x8281a166, 0x0ba1be88, 0x910ea1da,
+    0x49eeb4d1, 0x877cc93a, 0xf9e2ea60, 0x2a1ffd23, 0x470b86ed, 0x11204c9d, 0xeb9b4f38, 0x21c3040a,
+    0xad438bbe, 0x62055a5f, 0xeb32a31f, 0xd7a6f189, 0xff85dc2f, 0x4c6760b5, 0x60409e70, 0x48fc37e1,
+    0xb9cdab37, 0xf6595b91, 0xa8b747bf, 0x5a212d17, 0x68a0651c, 0x0d215370, 0x66816c47, 0xc3bacfb0,
+    0x70dea35a, 0xfc85e207, 0xfed2dbf3, 0x215ee474, 0x85ef23a4, 0xac7382b1, 0xccddc1e5, 0xec7c3db4,
+    0xc8a345a7, 0x7a457a0b, 0xd7167dae, 0x8bb1a856, 0xd466d9a1, 0x966f9950, 0xe2ec50d1, 0x384a4030,
+    0x651c52d2, 0x5065932d, 0xeace0a54, 0x644aa90f, 0x6bc9c4e3, 0x99a90168, 0x608017ce, 0x07f744a8,
+    0x650e6c6d, 0xdf606470, 0x84c842f3, 0x81f5210a, 0x956bffef, 0x05c90fa5, 0x59ce36fc, 0x62203c86,
+    0x3a61f0ba, 0x35627826, 0x8cf2fe6c, 0xfee5325f, 0x5c56dc03, 0xf3c24ddb, 0x8801b142, 0x4adb9db8,
+    0xb730cb13, 0x670afec9, 0x4d926601, 0xdd353a99, 0x0864d033, 0x5f5f20b1, 0x3f4a8761, 0x1ecca1ad,
+    0x77623d7c, 0x262273d3, 0x241a19f4, 0x6ead8516, 0x606a7c21, 0x82ee45e2, 0x5f6a13c9, 0xfdf3d4b5,
+    0x0330f0c5, 0x5167a205, 0x571a267a, 0x14e08c77, 0x6624818e, 0xfc60b9c9, 0xf37787cb, 0xab0a83e2,
+    0x8fc53f76, 0x79afb2f5, 0x5758e033, 0x138b9928, 0xe617fce6, 0xb0f2efc7, 0x82123d05, 0x485a1c36,
+    0x21398bb2, 0xa073db75, 0x9fdf0dc4, 0xc508104d, 0xbf69f7c2, 0xa14e825a, 0xeee97d0e, 0x172b9bea,
+    0xde734aea, 0x87aad4d4, 0x7cb4a6a3, 0xb6a42aeb, 0x7db0656c, 0xda8f5c16, 0xc9d95f21, 0xae8ef2ca,
+    0xdebd53ec, 0xdddd376c, 0xae0ef158, 0x47a7d37d, 0x8766fe07, 0xd8e567fa, 0x2f3e4aee, 0x83597a08,
+    0x00000000,
+    0xd2754038, 0x4a049664, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000011692013098647223345629478661730264157247460343808 */
+  { 0x00000000,
+    0x1e4cff53, 0x663275cd, 0xd6ac3969, 0x628759d3, 0xaeb1e333, 0x5d4ed804, 0x29860538, 0x916db4fa,
+    0x73d40c7c, 0x409477d4, 0x554386d0, 0xb9560d3f, 0x051414bf, 0xb184495d, 0x000c768b, 0x2dd3552f,
+    0xe5fac727, 0xbbd8912e, 0x26e668cb, 0x84640367, 0x8323dbd2, 0x70919620, 0xa462e8b9, 0xeb5cb0ff,
+    0x3fa0dec3, 0xc2a7c3d7, 0x1bf9c79d, 0xb50ad2c9, 0xdb62d5c1, 0xbebb358e, 0x7a32c526, 0xe83757cb,
+    0x3713437a, 0x91b26a9f, 0xc6e49ccf, 0x8bb5b0f7, 0xc05e1968, 0x52cf00bc, 0x26b2e1f2, 0xca4dd4c0,
+    0xa98109bf, 0xdb173c7d, 0x7e9fd6ac, 0x735c323e, 0xdb790952, 0x0f6ad2c8, 0x1c0cd72c, 0x7e06fb28,
+    0xfdbd22a6, 0x262f51c5, 0x33782899, 0x1a56d450, 0xee8ee5a3, 0x47e6a306, 0x353e9e1e, 0xb2783528,
+    0x057227b4, 0x7e7d653e, 0x71201e80, 0xcc55f7f8, 0x46f17f2e, 0x20357acb, 0x9b524bc6, 0x9bb5f3da,
+    0x98a680b9, 0x19b6232e, 0xf4914f14, 0x9afa4cee, 0x5b5104b7, 0x55bfa44e, 0xc834af8c, 0xd2d2bfd7,
+    0x843a7915, 0xcb510302, 0x13f8ff61, 0x008f6d81, 0x45701c43, 0xae1d70aa, 0xd42cce4d, 0xceb84d8f,
+    0x292b0a9f, 0xb36bdb62, 0x117c6ddd, 0x16919b68, 0x7d44dee6, 0x7198b671, 0xe7851ac8, 0xd53c1059,
+    0xe94efd79, 0x7a447814, 0x800a5810, 0xea77e153, 0x85617929, 0x7b8d5b85, 0x5604c262, 0xe977a656,
+    0x3d3e7d9b, 0xe7acde89, 0x0c25f1fc, 0x5f56cb12, 0x0d98e6c8, 0x4d51a115, 0x24515ab7, 0xe5b94bf5,
+    0x4b698b90, 0x2285bcc4, 0xdd40ac2d, 0x6ae1c259, 0x62b9a8e8, 0x8aae414b, 0x9ee3e8e4, 0xc314a8bd,
+    0xec102c03, 0x128dca66, 0xad27d637, 0xa505bd8e, 0xe9f0a2f1, 0x404cc5f1, 0xa1415dd5, 0xa440303d,
+    0x827f79c7, 0xb8146877, 0x681fb3ec, 0xc85993b1, 0x230e050f, 0xffbccf51, 0xb8819577, 0x9ab688e6,
+    0x06a085b7, 0x9855790b, 0xfdb97f5b, 0xd05ca6e5, 0x59ab338e, 0xad02ebf0, 0xa72a5b42, 0xd4893b85,
+    0x270abfe2, 0xfea925be, 0xd4209588, 0xfd7aaeff, 0x8b7bf8f3, 0x1ea86625, 0x5bc313ad, 0xa0a34af1,
+    0x3441ca8d, 0x8268817a, 0xaf01266e, 0xf4342683, 0x1bc22e33, 0xbcf45a90, 0xa5db37a0, 0x33a2488a,
+    0x44fab2b5, 0x2f9d455f, 0x3eab00d2, 0xd99df13f, 0xc8415258, 0x5dc307bb, 0xd4f270d5, 0x3d266993,
+    0xdaebd166, 0xba48d415, 0x6b51849a, 0x53893b0d, 0xb6c0f199, 0xcf32cb80, 0xb77ac5a7, 0x8fea8144,
+    0xd8e905b6, 0xf1d71ebb, 0xc80d4e93, 0x8c23966e, 0x8a5f853c, 0x4fd5089b, 0x5fa51fe5, 0xcc3f283b,
+    0x084e89ae, 0xadad7b69, 0x57f8ac29, 0x86b47b40, 0xba79dae7, 0x442b5f3d, 0xac72fb93, 0x57d8f3f0,
+    0x33493a3d, 0xf5f9dd41, 0x67be73f2, 0x2ff79dbf, 0x0c69bcd5, 0x8ac47290, 0x81fbddba, 0xe30f378c,
+    0x2d38b0cc, 0xbb4c3314, 0x694222de, 0x6a44bb89, 0x701648c4, 0x55bb2aa3, 0x6172e3c1, 0x84469f5b,
+    0x3ff9d9c4, 0x0509e168, 0x6d47d87f, 0x6ab64fc8, 0x7069d510, 0x6fa8d9f8, 0x084b6875, 0x0fce03b2,
+    0xeb810663, 0x7ca69cff, 0x07d70e24, 0x3e2d863c, 0x83325d45, 0x19a3f25f, 0x77cbfac3, 0x72d54513,
+    0xa3b75aa7, 0x43be8441, 0xd2d5c2e8, 0x18bc0d72, 0xf2907429, 0x6b3b8a4d, 0x0a062849, 0x49de9d7a,
+    0x8b10eaee, 0xc3d591b5, 0xd959a165, 0x1c8136be, 0xe6ac590c, 0x02c091c7, 0xba39dd44, 0xdce120c9,
+    0x5268cc4e, 0x25c24fcf, 0x657cac9f, 0xea4b0ff6, 0x052eec8a, 0x6c74132b, 0xbd75446e, 0x3983308f,
+    0xa65d9574, 0xafaa6569, 0xa08593f3, 0xca4e6b2b, 0x6ecfbee1, 0xc69fc6af, 0x5d0f2dee, 0x1cab514a,
+    0x87f65fb6, 0x147e8147, 0x18891bcb, 0x9f40fcd9, 0x0e5f858d, 0x6288228a, 0xe9cf915c, 0xf35d2fb7,
+    0x6d1105ae, 0x0e6cdabd, 0x2fd6e0eb, 0x8519e96c, 0xab7ed0ae, 0x4499b9cf, 0x774e34e9, 0x78e8d6bc,
+    0xfb4de8d7, 0x8173988b, 0xe8c83988, 0x06957a3c, 0x430f5112, 0x302ac996, 0xa460c7d0, 0xfede2a53,
+    0x388ee6ce, 0x8e0d253f, 0xe553f350, 0x4a720e54, 0x579b3b50, 0x3eab236c, 0x5836e6d6, 0x30f141fb,
+    0x003fb784, 0x143b70b6, 0xfd7121bd, 0x259da4f8, 0x259ecd3b, 0x331d818c, 0x1ba52eca, 0x718f009d,
+    0x8d1f8a10, 0x7a09a4c6, 0x549fadd3, 0x536f00e8, 0x7ec97f21, 0x72a3d713, 0xb80ffab7, 0x81710bf5,
+    0xecf01b64, 0x15307d99, 0xbda3f0d7, 0x7acbddf4, 0x7719b2cb, 0x84c75157, 0x40bf8d06, 0x88021b9d,
+    0xea14cd2b, 0xbd660207, 0xdda0972b, 0x9cc49015, 0x7920298d, 0x65015400, 0x76448fe7, 0x72959598,
+    0xd19ff20f, 0x8142a145, 0x1d30f720, 0x187c3e54, 0x411ae48d, 0xa64fb9b9, 0xfb82291c, 0x4721befd,
+    0x894f232b, 0xd3acf6bc, 0x28ce7894, 0xd2067405, 0x61dec291, 0xb57b09f4, 0x1404b08f, 0x981c1ba2,
+    0x2bd5a317, 0x6f1f2b2a, 0x2ca6c10e, 0xcc477a05, 0xe4b54ee5, 0xabe8562d, 0xf670c372, 0x8652907e,
+    0x8afa8763, 0x98eff56c, 0x9ce46314, 0x32161b0c, 0xe5fde1bf, 0xce53947b, 0xc9ec13fd, 0xc19e64b9,
+    0x37ee32ae, 0xbdc8a79a, 0x925d0fc3, 0xb3586d02, 0x2bdcd315, 0x75b7dda2, 0x9a499f70, 0xbea0416a,
+    0xb40fd95e, 0xa78f208c, 0xb124d289, 0xbdaf399f, 0xf97816f0, 0x921fe6c7, 0x67ad1c1c, 0x914dda3c,
+    0xc9944d70, 0x5ef212f1, 0xb0c1f193, 0xfbfa77a7, 0x0a055649, 0x30091e64, 0xf984ad4c, 0xf31c4626,
+    0x24876077, 0x26f0fe1f, 0x86d8816c, 0x8a7407ad, 0x2ee83755, 0x4478c17b, 0x7c7d8364, 0xaecfb6d6,
+    0xfc5af82d, 0x2c6baa27, 0xc2738a89, 0x2e930fdc, 0x6c5443b0, 0xce7d33b0, 0x16fadb0a, 0x5d2d936f,
+    0x53a28bdf, 0x6c2c76c1, 0x98db9e6b, 0xeb78b151, 0xe379cc8a, 0xba0f7bce, 0xa9ab6ff8, 0xbf81e611,
+    0xf4322cc4, 0xb77380fe, 0x40b79db5, 0xb5a563e1, 0x64aefbaa, 0x5cb9208d, 0x356a3a03, 0x3214e1a5,
+    0x919f1406, 0x03c9a4b9, 0x9cf842c2, 0x0f902116, 0x49c98783, 0x26428760, 0x7a0a7917, 0x89aef4e2,
+    0x91651dd6, 0x10743787, 0x0f50221a, 0x639b38bb, 0x4d056f98, 0xba7ea80f, 0x639ccc23, 0xb0dcf22f,
+    0x9ba507e6, 0x99aa86b4, 0x943e4eaf, 0x0f38e078, 0x118557b0, 0xf1394f0d, 0xc44d0011, 0xbe108982,
+    0x67b55882, 0x6286764b, 0x88191c65, 0x4446f0bf, 0x8a905ca5, 0x624d3866, 0x014224c6, 0x63fda1a2,
+    0x5c8fc121, 0x6df0b632, 0x4fa73b68, 0x6911959b, 0x355c2bdd, 0x6f6c8eda, 0xd1b95f0e, 0x448e7215,
+    0x428b6bb3, 0x00452907, 0x037b72cc, 0x7d44386c, 0x9ff75718, 0x72dffcad, 0x9770bd53, 0xf9cef716,
+    0xfb7b949a, 0xf57a751a, 0x201146e5, 0x4fa644c9, 0x1445d831, 0x601d8ac6, 0x8140c1cc, 0xb25bad20,
+    0x02597c85, 0xef2a9e11, 0xfc7e122c, 0x6d0bf47c, 0x149fcd2a, 0x9e919991, 0xa111e4b4, 0x370d504a,
+    0x0e538f13, 0x7a8cab9b, 0x30fc6044, 0x91779f32, 0xa99ac6f0, 0x529143c5, 0x34e46851, 0x7c1d8640,
+    0x12f020a2, 0x0d575a61, 0xc459249a, 0xb1ed7dba, 0x78156d85, 0xaf0a8627, 0xdcc456d5, 0x36fccb81,
+    0x7a9f8830, 0xaec45ded, 0xa89f7868, 0x8a2d5358, 0x671793b0, 0xc42ef875, 0x6cb74bcb, 0xf1090c31,
+    0x357114c9, 0x0c25c91a, 0xabfbcc68, 0xd5ef6ffd, 0x943b7047, 0x778a03e1, 0xd9fdfc66, 0x049fa349,
+    0x9db186fc, 0xd5069e1b, 0x28d4bf76, 0x1d86851f, 0x7894cc49, 0xd8583c92, 0x41607c5f, 0x3b3f668c,
+    0xa2b68e56, 0x89e15606, 0x3aeee71f, 0x326b8904, 0xd467f523, 0x183a9418, 0x656ccb2f, 0xcd225452,
+    0x76de7d5e, 0xa9f82da7, 0x955b984b, 0x198e29ce, 0x9eee04fc, 0xa4d57577, 0x0ea7e079, 0xbc25d5bc,
+    0x90b5485b, 0x6d11c200, 0xe0064347, 0x4b424ddb, 0x564890f7, 0x78aed457, 0xa34c987d, 0xbf9e6c6a,
+    0x6df5ea49, 0x0136c604, 0xa46f2197, 0x89bd167e, 0x4ff41ec8, 0x4df10d5a, 0x96afe71c, 0x037b4abc,
+    0x8ecc3192, 0x74ad1f6d, 0xedf9609d, 0x78f00f68, 0x9b6c3375, 0xb0988bca, 0x739f84ba, 0x4e87658e,
+    0x79ed1aa5, 0xd7d3c1c2, 0x35df11fb, 0xc51736aa, 0x323100fa, 0x8d94f2fb, 0x8dbafc5b, 0xa2f0b6b9,
+    0xb6ec7e71, 0x2e8d94b2, 0x828c3a3d, 0xf446c408, 0x5a3f1c36, 0x1f0be176, 0x4fb6f624, 0xd1e865f9,
+    0xe6342147, 0x97c1c09a, 0x1e17f51e, 0x212fd101, 0x5a8878f6, 0x53365406, 0xd756c096, 0x4c5d8298,
+    0x85742e44, 0xaa89222a, 0xc4c06a25, 0x78c4bb46, 0xbbeae367, 0xec43288a, 0xfabd7f8e, 0x10b6130c,
+    0xd3aafca3, 0x16d60ee4, 0x79a12505, 0x920bbd67, 0x60e323fa, 0x07c823fa, 0x72887659, 0x91d7c92e,
+    0x7e08c896, 0x1df9afdc, 0xb7856e69, 0x325ad91b, 0x60b13fb9, 0x6474308d, 0x63eea475, 0x7362178f,
+    0xaa971240, 0x1ff96ba3, 0xf56a969a, 0xfa73fae2, 0x7f6308c0, 0xb5fc7d40, 0x719c7639, 0x07f7592e,
+    0x2e7bec7c, 0x046d3c16, 0x398ce562, 0x1ec9ccbc, 0x840d4c12, 0x4577610d, 0x95d2e7bd, 0x688332ff,
+    0x19c3468b, 0x0eec88ac, 0x8d4c3d99, 0xf86359f7, 0x08616edd, 0x47478fcf, 0xe67d7a5b, 0xe46ee2b5,
+    0x6a1e5758, 0x3994cb41, 0x537f391c, 0xb6c59b2b, 0x7a92495f, 0x27dd6fa5, 0xdd867faa, 0xf657d922,
+    0xe7d1313b, 0x84b05241, 0xf29d1024, 0xd426bbca, 0x0a501d2d, 0xb8013b4f, 0x022a43e1, 0xe942ba54,
+    0x409e2153, 0xc43593e0, 0x91b078ee, 0x1bb9d107, 0x4d3bbf4f, 0x536e5ff2, 0x4e01af50, 0x9c6d88f4,
+    0x9e480d12, 0xb697338f, 0x0296a540, 0x8b47a096, 0xfa7f0c6a, 0x483ed7b0, 0x19212e35, 0x4539b533,
+    0xc1858803, 0xa98f9d76, 0xf6c1afd8, 0x1973bda7, 0xfe316682, 0x20617794, 0x37bf5f94, 0x6821147f,
+    0x382f617d, 0xb4a076c8, 0xbe5946c9, 0xfc083930, 0x570d24e9, 0xc544754b, 0x64c6c37f, 0x6db26dbe,
+    0x0b8a988a, 0x5559397a, 0x7d5d601f, 0x173805bb, 0xc5202401, 0xf0b49272, 0xbbce27b4, 0x671fc613,
+    0x17f01074, 0xa105d177, 0xe0872526, 0x0a66c66e, 0x16143cd2, 0x56bb9fae, 0x76456a03, 0xadef4f3d,
+    0x99493248, 0x2fef196f, 0xe912c5d4, 0x3d5d37f5, 0x23d37537, 0xc33290f5, 0xde1041d9, 0x3aa2ab12,
+    0x62ab7e70, 0x128e7f27, 0x3bf71637, 0x45b1296f, 0x95c80ffc, 0x22e03cbd, 0x0b947945, 0xd0b27bc5,
+    0xfbd89136, 0x5c2c467d, 0xc7ce9bdc, 0x1290cb34, 0x2430fef9, 0x0df44087, 0xa1a79256, 0x009aed76,
+    0xffaf4f94, 0x553661b8, 0x95415efd, 0x4b416572, 0xf16ebd1d, 0x632fb20a, 0x089290ab, 0x644a3afd,
+    0xb0b2cd04, 0x7281a8da, 0x60aa064d, 0x127c41ed, 0x0447371f, 0x32451c78, 0xeb4d5196, 0x37098a62,
+    0x3ebd252e, 0x1c505486, 0xa7eafcd6, 0xe55dd5b2, 0x67cd6b4a, 0x1a8b5939, 0x61efb3bb, 0xd60aa72c,
+    0x4d1f4d44, 0x25780faf, 0xdb08d185, 0xa40d010c, 0xbd2dcf13, 0x5bcdbed5, 0xefeddbf4, 0x4c9444df,
+    0x773891db, 0x2b98e2ba, 0xba2ea632, 0xfbf2a63c, 0xb1b6bdfa, 0x27879c8e, 0x6b18fcc4, 0xf4d9a1c2,
+    0x789f3dfd, 0x09d18393, 0xa3fc3e93, 0x3fab0169, 0x94471486, 0xc4c221a4, 0x9c8748ed, 0x94c56926,
+    0x82ec8c47, 0x2eaaf6b0, 0xde8bcdf4, 0x5ee51bc7, 0xb70928fe, 0x9df1cc74, 0xc96901f6, 0x19ae8820,
+    0x0d85fd3a, 0xb0ac5df9, 0x4c45b52b, 0xfedae0c2, 0xfd561beb, 0xed2fad1f, 0xa267e602, 0xd873cd9b,
+    0xebe74e1c, 0xe9fb6499, 0xce5a5f8d, 0x954b1042, 0xc9429661, 0x40d255f0, 0xea0f53be, 0x9703464d,
+    0xd0e44c68, 0xf66df7a5, 0x3dac15fb, 0xac1e3b82, 0xb3fc0c1e, 0xc015cef1, 0x54fab235, 0xf3c4e74f,
+    0x68c63706, 0x9515e0ad, 0x2b0270d2, 0xc7560a0b, 0x4c30b294, 0x7162ac62, 0xc890f59f, 0x811de31a,
+    0x8f7d5fb6, 0x20c0647f, 0xe965f0f5, 0xf6744041, 0x94b7ea35, 0x2985ccbc, 0x28a6d38d, 0x0ea2da5e,
+    0xd2fcdf1a, 0x8a06ad29, 0xfe364c12, 0xbf4f06a0, 0x528333d8, 0xea9563c3, 0xf4afa8e9, 0xca306baa,
+    0x29681aec, 0xd1345a5e, 0x65e5c74c, 0xfa3b3b90, 0x7168eb00, 0x770bde80, 0x78318cee, 0x6d6579d1,
+    0xa1d67251, 0x7562e6b0, 0x0d17eebd, 0x2253a33b, 0xd4d84c69, 0xb5232ad7, 0xb763343b, 0x60c47496,
+    0x8226cf85, 0x48b26519, 0x7125d9a0, 0xfe2e9860, 0xc6e9492f, 0xe157fb22, 0x938485fa, 0x1f01ab4e,
+    0x3e18f713, 0x4f1c16d6, 0xbbb50597, 0xf2a68a55, 0x3d5e6cec, 0xd6d2d110, 0xb7587399, 0x9fbcb00d,
+    0x9c383ca9, 0xec3fddd9, 0xdaf84660, 0x5ca5acde, 0x16003205, 0x074641b8, 0x06b1e488, 0xc9054781,
+    0x76839781, 0xa1d86657, 0x9092cb6a, 0x922eb81e, 0xedfeb9fb, 0x1fc044a2, 0xab96cfa6, 0xf7257f14,
+    0xd87494a7, 0x07a0233e, 0x6e811748, 0x0d9fb2e4, 0xbf073268, 0x78819031, 0xff47e093, 0xa53622a4,
+    0x0f841b09, 0xaca1e5cc, 0xa37a2d8a, 0x43aa2d88, 0x8b7c1857, 0x14590d31, 0x4db6ce86, 0x7101b8fd,
+    0xf27cb5e6, 0x648509ce, 0x59016c6f, 0x5ece4387, 0x02831074, 0x597e3976, 0x0c93c7f5, 0xb548b0bb,
+    0x1a54d8c3, 0xb6905221, 0xb715ff9a, 0xc34af38f, 0x84b25dd3, 0x5e928c30, 0x88b007b7, 0x620937aa,
+    0xe81664b0, 0xe8a7c49d, 0x5f351ee2, 0xc7965963, 0x78c0b87e, 0xfcb3ee28, 0x1a02c0b9, 0x53cbab3b,
+    0x8c617864, 0xf8562207, 0x39c89b3d, 0xfc22a21c, 0x4056298c, 0xdc808536, 0x3d0cba32, 0x2374b65a,
+    0x07a38662, 0x726e12e2, 0x2604e665, 0x97164818, 0x197c6898, 0xb36f9374, 0x9a881472, 0x218f6530,
+    0xf7bda58d, 0xfe3d44f6, 0x1c142b70, 0xc96edbad, 0xef194aa3, 0xe7785e54, 0x996b9b33, 0xccf48c9b,
+    0x09763b6c, 0xd5530585, 0xe2e631ce, 0xa00ddc5e, 0xb7472298, 0x87898cba, 0xb0ce360f, 0xa1b3560b,
+    0x5c0a5fa1, 0x7487669b, 0x62c5d7a4, 0x5bea052d, 0x6b167865, 0xf1241489, 0x3f1bc856, 0x871e7b35,
+    0xe97bf964, 0x122088de, 0xbb5cdc6a, 0x3a5fb822, 0x9e61e90c, 0xe8f11de0, 0x0a112dfc, 0x4da623e0,
+    0xb06d69c9, 0x53be1184, 0xe8239ea6, 0x127475f1, 0xa5e1e2aa, 0x945fd71d, 0x6e574543, 0xbed03d3e,
+    0x7abe7a85, 0xede8821b, 0x95ecea4a, 0x7c159ff1, 0x85750630, 0xe57ec6af, 0x9d3e3c4b, 0x62fe0266,
+    0x405ca885, 0x02f67c75, 0x24043a08, 0x7e8d4435, 0xd2230fb4, 0xeb3296ef, 0x6f0c760e, 0x062684f8,
+    0x086c7622, 0xa7896177, 0x455cac28, 0x9724dc74, 0x24904adb, 0xb4899e6b, 0x08d9a61b, 0x4287662a,
+    0x28644b45, 0x9de3780f, 0xcdf99aa5, 0x3d8510e0, 0x3a6730c2, 0xd2501c6f, 0x8c034e8d, 0x8a291be4,
+    0x1275e6bd, 0xbde42bfe, 0xd647ab5f, 0x4963429c, 0x318c4170, 0x982c05cd, 0x0c97f8bb, 0xa08c41ad,
+    0xf96c12b2, 0xbf03f211, 0xd505bfe0, 0xa492b60e, 0xfabc1043, 0x80be524c, 0x18a5d386, 0x71d68e3f,
+    0x4bf67e4e, 0x706be32d, 0x81802ddd, 0xbcfb51b7, 0x005c2ddb, 0x2b50e02c, 0x0c6da9e8, 0xb75f5caf,
+    0x00000000,
+    0x693aa01b, 0x25024b32, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000005846006549323611672814739330865132078623730171904 */
+  { 0x00000000,
+    0xef3144aa, 0xf06fb656, 0x2da2ed8c, 0x1dcd3390, 0x4f4034c3, 0xf1237b51, 0xe48bef52, 0x40a60c80,
+    0xcdd0f5a0, 0x465cc08a, 0x86b6e0fe, 0x519b85be, 0x51419f75, 0x837a3567, 0x7d6bb1b5, 0x541b9fc7,
+    0x6a445354, 0x39ae798f, 0x6911f984, 0x588246e5, 0x9ad5d6b6, 0x970be575, 0x771cb775, 0xa62b9092,
+    0x7cc67899, 0xaf194e4d, 0x532a48b1, 0xe4d1b225, 0x42dbcfb3, 0x769aeee4, 0xcd9b2b29, 0x54197324,
+    0x36506713, 0xbf1bde68, 0x73a95c57, 0x1558f467, 0x88b5c929, 0x550752f9, 0x7892cefc, 0x8366eadc,
+    0x70a2edd5, 0x4b714b7d, 0xbdb5c2a4, 0x29b40527, 0x84aa8963, 0xa8dc5fe0, 0xa529b34d, 0x6d8ad642,
+    0x1096e895, 0xb2610ee5, 0xaa86f288, 0xd0d22715, 0x7a8e1de7, 0xb49e6187, 0xa1bd19cf, 0xfeb12205,
+    0x8d634ce7, 0x315788fb, 0x7196f730, 0x45aa4be1, 0x2b4b57de, 0x597f3767, 0xa7aa0758, 0x7fd0638f,
+    0x8f82399b, 0x71ff97c4, 0x3de3eb10, 0x2aad9041, 0x5d98e4f1, 0x97bfeda3, 0x1b35e6ee, 0x841eb590,
+    0x83bab289, 0xe0f7396c, 0xdc3b1b95, 0x74930188, 0x95e62011, 0x01f82b5b, 0x0eae4116, 0x611f22cc,
+    0x53af27f5, 0x44de2ef7, 0xd2b8dd41, 0x56e236d4, 0x8452ffa6, 0x6ca2857e, 0x8b9fa089, 0x2de8fd7a,
+    0x213db13d, 0x92c5b581, 0xbbeb0ce3, 0xbdc5a3e9, 0x451ae8e2, 0x3e270202, 0x0a6d60f7, 0x5e0584ba,
+    0x2f8149c1, 0xc582564d, 0x74b331cf, 0xa093b61c, 0x31bb8905, 0x52471283, 0xa520bb7c, 0x2b355b19,
+    0x93ddaf8a, 0x949f5efe, 0x2467910e, 0x24d6962a, 0x3092348f, 0x899e73b9, 0x9738b3ac, 0x6f3e1819,
+    0xbae0ffb4, 0x97f7c33a, 0xd8f924bc, 0x2615b970, 0x4c90ede7, 0xbb81d76e, 0xa3cff8d3, 0x779d0a72,
+    0x7e2d55b8, 0x0dd1c352, 0xf5bb16a8, 0xe7efcb55, 0x3fe9702e, 0xac431aa8, 0x18157981, 0x492ec4bc,
+    0xf1a5ba18, 0x7c0c8e98, 0xba67e4b7, 0x89966c93, 0x410a0a77, 0xb05cd566, 0x5bfb28c2, 0x9a9fa906,
+    0x85d1736d, 0xe60d967e, 0x95bec0c2, 0x2eb2392a, 0xcd97dad9, 0xf848c3c8, 0xa06b9c50, 0x1b1b2df4,
+    0xc1939cd9, 0x28d7e55c, 0x2bb7d25d, 0x7df52758, 0xb218e441, 0xc8095f3b, 0xa683c20a, 0x0f22f661,
+    0x5a36c9f8, 0xf639644e, 0xe99b407c, 0x63fbb0e6, 0xba74ae95, 0x994007bd, 0x2ca6b4c4, 0xb4377f84,
+    0x52d99368, 0xb8ff985b, 0x8d6183db, 0xef54936f, 0xba581489, 0x0d56a0a4, 0xe46fa2ef, 0x591f8903,
+    0x5aad59f6, 0xf753135f, 0x63fbe526, 0x419d243b, 0x7eda3648, 0x9f31389e, 0xd8f0b863, 0x83bcfcd7,
+    0x8f81ffa6, 0xabd16650, 0x150edf6c, 0xc9adb587, 0xf9d305f5, 0x2a8b3bc2, 0x5de94853, 0xd55f9e57,
+    0x544feb0f, 0xb880315d, 0x284a1373, 0xfaa99d57, 0xceb61510, 0xfeda3d7d, 0xdf79e95b, 0x88aa72be,
+    0xe49c8790, 0xdf1d2d58, 0x32a368e1, 0x98b2d460, 0x0df9d234, 0xdd6a3be2, 0xd551325f, 0x4b77d867,
+    0xd8cfbe12, 0xde858f1a, 0xfb20d12f, 0x84871cd0, 0xd15bcd9f, 0x44a014b7, 0xcbf79bfa, 0x84c3e1a8,
+    0xeb10e999, 0xaf159a41, 0x9692397d, 0x2c34a556, 0x8b1252bc, 0x86b7bfd7, 0x46e9fbb0, 0xb667963d,
+    0x563d290d, 0xddd92edb, 0x4cdcca35, 0x2a23e671, 0x76206800, 0x25649dc7, 0x40cdfcd7, 0x5d28cb41,
+    0xe84b2cbd, 0x95333d33, 0x434aaa11, 0xb0787be8, 0x04684c87, 0x58470b01, 0x544e1f68, 0xd017be02,
+    0xb3828fba, 0xc525d832, 0xb34c2833, 0x807c1e6b, 0x74bbcc47, 0xc0b59f9c, 0x72f73d93, 0x04dabc3e,
+    0x2edf996b, 0xc57bb98f, 0xd0821e5c, 0xea2ab6d5, 0x25498aab, 0x81549ed5, 0x18796812, 0x8aeb26df,
+    0x2cc87f01, 0x79263f6b, 0xea6dd42d, 0x0964fbb5, 0x88d6a040, 0x52bf0e72, 0xd521734e, 0x66f47aa8,
+    0x0294b3de, 0xb19883a6, 0x3359dcc1, 0x695851c3, 0x7d53c378, 0xd2b06c0d, 0xf4422b9f, 0x2b5a904d,
+    0x98d7ff1e, 0xea71b255, 0xd095e712, 0x13c6e629, 0x6d632708, 0x8c7484cc, 0x3466758d, 0x3ff2184e,
+    0x86cadcfc, 0x73aa6b6e, 0xe7e07950, 0xd7cd9fc1, 0xca9667ce, 0xe9bc1631, 0x8dc09836, 0x5b1b4092,
+    0xf847fddf, 0xe1f52c6a, 0x9b3377e2, 0xceae9589, 0x6f86bba5, 0xf5af6bf7, 0x2a96229d, 0xc76a0664,
+    0x965caead, 0xcf863edb, 0xefa92dc3, 0xb8f2924a, 0x9456acb4, 0x729d4196, 0x73f1fd19, 0x08a6a921,
+    0x3423f704, 0xdc0c923b, 0x048de11e, 0x319c0d46, 0xc3a37eb8, 0x33ee767b, 0x4f710afc, 0x566af404,
+    0xc21b2b50, 0x3427f3e8, 0x12105abe, 0x0327c224, 0x0f69d85a, 0x210b9060, 0x42e30d1d, 0x83b117e3,
+    0x4f0af15f, 0x7e1d0e8c, 0x10801524, 0xbf1556f5, 0x15d9d54c, 0x86654402, 0x6d6b6c7c, 0x579f3646,
+    0x57b22322, 0x684b0af2, 0xc6e5a6ce, 0xbdab2618, 0x6a39bdfb, 0xb2b870f1, 0x373bbf1b, 0x0bef044d,
+    0x1677c76b, 0x03ce3c06, 0x8d19e0ec, 0x86692c93, 0x65da441e, 0x9a989d9c, 0x42ef3b09, 0xd56759df,
+    0xaa6a4d95, 0xb3258134, 0xd7e15b96, 0xd309a74a, 0xda04180a, 0xd6b202fb, 0xc1340ec0, 0xc5e91ba0,
+    0x69d6d681, 0x08ec1273, 0x5a624595, 0x761d71a1, 0xbc3f3b4d, 0x073ec00f, 0x36694aee, 0x2188f039,
+    0x2d7787e3, 0xe48d3f50, 0xba23be40, 0x27e4d8fa, 0x6d35b26e, 0xec9286fa, 0x27aad5c1, 0xb2719c78,
+    0xb3a817a5, 0x02ffd285, 0x60aec868, 0xe78da189, 0x4b6eb06f, 0x3979196b, 0x25014ba5, 0x479b2a62,
+    0x1b3940f0, 0x83c32f9d, 0xc2734e58, 0x3fcfe01c, 0xa18f76e0, 0xb613ec31, 0x34a13b21, 0xf3e83496,
+    0x712a4f66, 0x05ccc7e7, 0x4e9a4c59, 0x945f52c8, 0xf5557a62, 0x8659c6ea, 0x8a1abc34, 0x69c2d6b4,
+    0xd991244e, 0x9ef9940b, 0xf2484e1e, 0x16a76799, 0xb1cfec14, 0x0c61e80f, 0x807884fa, 0x36380972,
+    0x1f3c7eb9, 0x6adaaf7a, 0xfd9f466d, 0x88b51bd4, 0x693bf158, 0xd7a18ac0, 0x317f8704, 0xfb2758bd,
+    0x48121346, 0x1aec5dce, 0x136592c2, 0x533bcb9b, 0x13a646eb, 0xd627051f, 0x200334d2, 0x9e19aee1,
+    0xbcdf07fe, 0xe82f3687, 0x253cf782, 0xde500be3, 0xbdc5e026, 0x70fedb22, 0x968d7b77, 0x22b9cfa6,
+    0x170c9b12, 0x0678450a, 0x31ab8147, 0xc9bd46ea, 0x25e194f3, 0xa8a53567, 0xd7acda2e, 0x567329bb,
+    0xf8e4b9f6, 0x836a6ab2, 0x5d1fbd0c, 0x086a7383, 0xf34f004f, 0xbaff49f8, 0x42792f50, 0xc04d85db,
+    0x93113bc9, 0x1775f081, 0xf5215b96, 0x4681a222, 0xd8de8221, 0x0b4e448f, 0x37f5d1f2, 0xf76edffb,
+    0xd9600b6e, 0x49f1a2b4, 0xed4bb30a, 0x13b63d2f, 0xf8a09eef, 0x998dfcfc, 0x255642c1, 0xfeb9c073,
+    0x6b927b82, 0x394a6cb3, 0xdbb27162, 0x8b07d843, 0x89dc9310, 0x2719d94f, 0x9b954a70, 0xa9dc3733,
+    0xda22c388, 0x69e774e0, 0x70db9a7d, 0xa26eb452, 0x3a87a478, 0x2ffa668c, 0x16dd7325, 0xb2335566,
+    0x8c974c8d, 0xff60041b, 0x89e37def, 0xe3be01ce, 0xafe9533f, 0x45ec48a1, 0x4765d6f1, 0xa4a516b6,
+    0x9fbd9ca7, 0x31150d64, 0xdb0bea23, 0x749395fe, 0xad12d3f0, 0x8e860ac9, 0x876c6f65, 0xcc92e491,
+    0x06b6848b, 0x1b3ab51f, 0xe89375fe, 0xfc21cf6d, 0x29cc5d0a, 0x8a7adb2a, 0x900a673e, 0x26c64501,
+    0x1758d86d, 0x6a7c9b83, 0xe8bec996, 0x7fc4bf4d, 0x61dd1e10, 0x765e909b, 0xcf4c2ce1, 0x7c35668f,
+    0x21671d11, 0x2eb4504a, 0xee6cc6b6, 0x0e120ee1, 0xb6f33016, 0xed06564e, 0x8206ac28, 0xd53178f8,
+    0xda9ff655, 0x0945470e, 0x702ec24b, 0x4dd2b645, 0x87b1526e, 0xb9922975, 0xd5bebca7, 0xf07a873a,
+    0xb372b3a9, 0xe2a4e8ab, 0xf2c4579b, 0x2de6ac71, 0x716ce2bd, 0x3254864f, 0x8ca51387, 0x5ef50502,
+    0xbad21305, 0x406e8565, 0x4975c015, 0x982b0876, 0x40b099ee, 0x75447e26, 0xd917f5e9, 0xcac3edd9,
+    0x9970af30, 0x931fbde5, 0xaffe1bc2, 0x393e130b, 0x51ed7e53, 0xcad7b5ec, 0xd17559d1, 0xf121d66a,
+    0x9e80d065, 0x5658beef, 0xeaa975e0, 0xbd7c9b74, 0xff51b9a2, 0x5d0a42ce, 0xfd552721, 0xacd378bf,
+    0x2ccabd50, 0x39e5c736, 0xa27bac32, 0xdbca3117, 0xd47dd153, 0x1691b2cc, 0xb37d0d33, 0x63a7f79a,
+    0x527b790b, 0xa74a96a5, 0x31f0d77c, 0xc57a57af, 0x681d50a2, 0xc3fccb6e, 0x33e40f21, 0x1a3f847c,
+    0x9696283e, 0xce14a276, 0x7f3e319d, 0x5b082cd3, 0xc9de01f1, 0x4eded247, 0x4eed65d8, 0x6ff646f7,
+    0x20f07247, 0x13b891f6, 0x92d65fe6, 0x08857c23, 0x21cbcb28, 0x0c436a29, 0x2c14475e, 0xef611e7d,
+    0xe182d88c, 0xcbfd3df2, 0xfd29aa85, 0x0d945ee3, 0x1664d460, 0x93f777a8, 0x66ce1278, 0xe658fd50,
+    0x97a2367a, 0x3a2ed8c5, 0xac782283, 0xf92581b0, 0x2fa29fc6, 0xe84f7869, 0x2088f08c, 0x43f6f5c2,
+    0xb6dfc021, 0xa78bc3da, 0xa86c1395, 0xff03f864, 0xdfb95f93, 0xc93660e4, 0x33711037, 0xfc9cbad9,
+    0x9f99a151, 0xdcc157b0, 0xcf3afc4f, 0xd9ba3614, 0x1f257689, 0x597c7e7b, 0x24543f89, 0x9f0aa1b3,
+    0x9c641a28, 0xc7e7f2a5, 0x94cb4cdc, 0xf653df8e, 0x16711524, 0xbe175d86, 0x5f8637a1, 0x1820c721,
+    0x051701f2, 0x4f831fad, 0x7443d478, 0x9e0efaa1, 0x9557ebd5, 0xbcd91e69, 0x9d3cbe58, 0x3ced1798,
+    0x20348ae1, 0x8a97bbc3, 0x88b4c48f, 0x72cbfd5f, 0xeb8f9492, 0xefab439a, 0x443351ae, 0xa3ed4e3d,
+    0x05508358, 0xbda3ce06, 0x4bed90de, 0xf9fefeb5, 0x373effa1, 0x4e8ddff1, 0xd663d5f2, 0xb1456ebf,
+    0x3473a340, 0x0b4ebea3, 0xeeb6d774, 0x03191494, 0xa701c8b2, 0xa65c8935, 0x7960c6c7, 0x4319dbc1,
+    0x0de13a7c, 0xeaa79350, 0xe2b9cd41, 0xe899c740, 0x978973be, 0xd0f46d6c, 0x5aff6609, 0xaa47de38,
+    0x8aa26cb8, 0x808d4782, 0xe1ff7724, 0x3875ec2e, 0xf2e12a40, 0x64232cb4, 0x9cdfd406, 0xb16dde9d,
+    0x8173546a, 0x8ae3cf30, 0x682ad680, 0xb586231d, 0xea8b6cff, 0x83f32d4c, 0xab4f6db4, 0x1b8b4f36,
+    0x6edd26f8, 0x9b4ac556, 0xa3a3532c, 0xc3b3e666, 0x24a1edda, 0xc849f555, 0x2e3959d8, 0x50ca37b8,
+    0xd0a58e67, 0x24849273, 0xbf580d27, 0xb53bc8e7, 0xd3a623e6, 0x5ec4a88e, 0x1151e00e, 0x90cb1e70,
+    0x5f191412, 0x0991d5e4, 0x63b1cf19, 0xceca957e, 0xc5ff01bd, 0x4a0ff216, 0xa5583402, 0x2b9c9b28,
+    0xea0be384, 0x64ee5072, 0x5aa4f985, 0x42330534, 0xff0aa69b, 0xabacf35f, 0xdbe03af3, 0xdbda76f6,
+    0x03ec797d, 0x03fa2f1e, 0xc0d7abd3, 0x9560f6cf, 0x4e4f4690, 0x49c81ee1, 0xb6943e72, 0x6d554007,
+    0x58754199, 0x3be3cd2d, 0x6f3fe4a0, 0x9314cb79, 0x1c0fe2a3, 0x900ccb2c, 0xe37d237d, 0x0fe23d35,
+    0xc69090fc, 0x862a4bb8, 0x275e26fc, 0x99cfbe4d, 0x13da037f, 0xfbb569b1, 0x6db89032, 0xb86774bd,
+    0x83dfe392, 0xaa55228b, 0x5a8e1de9, 0xfc46b2ea, 0x18ed441b, 0x9b99599c, 0x854ade74, 0x95426f37,
+    0x9b4f174b, 0xe2f64bce, 0x8efedd5d, 0xa27833ab, 0xde7ba98d, 0x84ef4375, 0xdf0025c4, 0x0285af6a,
+    0xc78fbb3e, 0x38b35b15, 0x4521764b, 0xed60bccd, 0x947b3ed8, 0x3077dcf5, 0x34cb48b1, 0x2d69ec76,
+    0xf6eb2ba4, 0x212a09cf, 0xa89bb34c, 0x0c59a830, 0xf3042626, 0x42b30b8f, 0x7bc48053, 0x3b94d4c9,
+    0xaff87f7d, 0xba03407a, 0x357de46a, 0x910a0e08, 0xcd15d5cb, 0xa306b7f1, 0x56ee9069, 0x640e95a2,
+    0xda03fdc5, 0x40c8483c, 0x1ee9e86a, 0xf86abf38, 0x7da3c661, 0x73bbd982, 0xcc892ad9, 0xbd5b0d99,
+    0x87dc7910, 0xca24138c, 0x9054257b, 0xfe57b712, 0x695089fb, 0x90d7c40c, 0x05727e47, 0x6b4cd841,
+    0x0832ce5f, 0x2d8f813a, 0xa5c635fe, 0x1ea9b959, 0x821b7d1a, 0x7f681421, 0xf31a487f, 0x883e0764,
+    0xe30390b1, 0xcd702d38, 0x019dc447, 0xb1740295, 0x8c8a14ba, 0x252b02fa, 0x2643fe9a, 0xaedc1fcc,
+    0x77ae2004, 0x42728dd6, 0x126ed77d, 0x5d91a38d, 0xde7a4066, 0x5e0e0ba1, 0xca71aa9d, 0x862f33af,
+    0x32244e1d, 0x187b7ccd, 0x99c565e8, 0xbfb75cbd, 0x058ce9cf, 0x4e04ab9f, 0x71ccb85b, 0xf5ae61c5,
+    0xd5b36625, 0x2e3ac63f, 0x08a3c551, 0x71dfaebd, 0xaef1646d, 0x79189b8c, 0x33afd19c, 0x8022d23f,
+    0xee0a7292, 0xc5014464, 0x7686c11c, 0x5708bcc1, 0xac2b1b6f, 0x89a6aafa, 0x3c8f317b, 0xe9f58618,
+    0x523bf8a5, 0x1e41a45b, 0x6112b5bb, 0x4e10d97d, 0x642e94dc, 0xba88fcd1, 0xefea6a02, 0xe57f2bff,
+    0xfa202038, 0x029498fb, 0x5b5ae346, 0x4f4bef4d, 0x413e1b48, 0x19a72e6f, 0xf9887987, 0x29e3d289,
+    0x956db806, 0x58f0c3ae, 0xbaef3005, 0xeddefa85, 0x083c97f7, 0x016411bb, 0x100621a7, 0x96efbc2c,
+    0xc936d8ac, 0xe2a9fbf6, 0x5aa020e6, 0x08a33d31, 0x8f9d2131, 0xb624821d, 0x82aa0cc8, 0xc80caebe,
+    0x788c9dba, 0x7ab3af6d, 0x7d3683ca, 0xe63cdd7c, 0x24108dcd, 0xa3f8cd3a, 0x18691e76, 0x491fefa2,
+    0x05cdaf66, 0x2b7647b0, 0x5fcae0d3, 0x1faf67f3, 0xbb6a078a, 0x4d901df0, 0xa5174bdf, 0x09cf5826,
+    0x230b2a32, 0x30f923b0, 0x13ec9cbc, 0x6f34f1df, 0x85df5fef, 0x351d1e76, 0x9248edbc, 0x0f94976c,
+    0x08679f17, 0x0ceaa7a4, 0xf721305a, 0x3def9235, 0x981b49cd, 0x839b517f, 0x244c76f5, 0x9f3c71f6,
+    0x945d0940, 0x05c05ed6, 0x063a8dfa, 0xd79985c3, 0x4bd9ed1d, 0x5345827c, 0xf3acc9ca, 0xb91d87db,
+    0xbc291a5d, 0x9d0eaa15, 0x9db42815, 0x1542f7eb, 0x2ef29553, 0x8848ea25, 0xd50062f3, 0xc20da1eb,
+    0xf9222daf, 0xd5328809, 0xf47890e7, 0x486caf34, 0x865d41d7, 0x4335b66d, 0xd1bcdf60, 0x5a426488,
+    0x393e6a68, 0xda0043b2, 0xebe5ad04, 0x28710817, 0x6e4f6bb4, 0x5790d4b1, 0x3cebaa91, 0x81ce6d81,
+    0xde578dde, 0xba2fbd9b, 0x5e48e0e2, 0xa84b4fbd, 0xd704310f, 0x2fccfe3d, 0x69565e4d, 0x9c9befcc,
+    0xce605876, 0xec0b9080, 0x1d6a12ff, 0x6d46ae88, 0xf3453600, 0x7a48fab4, 0x28fdf708, 0xe176cfaf,
+    0xcda69d3b, 0xe997fd72, 0xf0218209, 0x39af54e7, 0x2ebcba1c, 0x43d368e6, 0xe3122f74, 0x7427c06a,
+    0xc3c2dd68, 0x96027925, 0x08e8ba00, 0xe0ae0298, 0x19602902, 0x5c0808fb, 0x6a16b337, 0xab182fe4,
+    0x4e3849bb, 0x7c8a88e3, 0xafd8d3e9, 0x61e5cdf4, 0x893ebebf, 0x917c0a7e, 0x6987ec9a, 0xcaa69305,
+    0x583e2ca0, 0xb365241b, 0xaf574408, 0xeac342e0, 0x5b3e9330, 0x74a838b2, 0xc4eff09b, 0xc9b060c1,
+    0x6b67350a, 0xa1fc5c4d, 0x2f37fc73, 0x5427b58f, 0xb24e38ee, 0x6d246c48, 0xdc0c50a8, 0xf5dff0c5,
+    0xdb080584, 0xa951c7b6, 0xb61d36ce, 0xb9769769, 0xba2f35d6, 0xba7fccdb, 0xe8ba933e, 0xb365e0b0,
+    0x3a5d5073, 0x633efc49, 0xcf2df8d9, 0x6ba2e502, 0x9eceb56c, 0x5d490a13, 0x14516b28, 0xa5f3a0e8,
+    0x0e1c3242, 0x76dee200, 0xc97038b8, 0xc239fdff, 0x486b598f, 0x6f3eb98e, 0x8a2b5530, 0x9934676a,
+    0x00000000,
+    0x349d500d, 0x92812599, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000002923003274661805836407369665432566039311865085952 */
+  { 0x00000000,
+    0xd16474d9, 0x604353c0, 0xcb3aa7c7, 0xf7f6e395, 0x60324245, 0xbe16aaed, 0xb37aeb76, 0x0e855f69,
+    0x6e96503f, 0xc9de8bc7, 0xab1a88f9, 0xdb65aff9, 0xb69d60c4, 0xcdf23cb1, 0x681c54a7, 0xec66c9af,
+    0x6b5c7b40, 0x24c91c95, 0xb4f52925, 0x100ebc2b, 0x3246a033, 0x7227ff5c, 0x80d45156, 0x391aaaed,
+    0x94a02d43, 0xfbd3ea17, 0x6ea93e0d, 0x6d1edb8d, 0xdf029182, 0x0c697554, 0xd6cbc7eb, 0xaf0cf2fd,
+    0xd9c57342, 0xeca8037b, 0xd6fc04ba, 0x065c443d, 0x291e7934, 0x197770ac, 0xbaaa869a, 0xfd869a30,
+    0x1c637b1a, 0xe1dfc194, 0xaac0619b, 0xd9fb14f8, 0x11c91c24, 0x085a73ae, 0x2c35bc41, 0x4b0a5bb9,
+    0xe6421e1e, 0x8af75e92, 0x201890c9, 0xe48acf58, 0xd97dc6bf, 0x14f49221, 0x3a413a10, 0x83d1a196,
+    0xf7e21a18, 0xe058652d, 0xd100e71f, 0x2e6def0e, 0x7492da4f, 0x266df07f, 0x2ca3a3af, 0xffe651e0,
+    0x967850a2, 0x057c70a9, 0xa6dec944, 0x0657b50b, 0x97058878, 0xe29f0551, 0x617adbe6, 0x3907b383,
+    0x185ed3ce, 0x1601c925, 0x570ed38d, 0x2c5ebf70, 0xbf5fecfb, 0x09aaccce, 0x8355a7b3, 0x4d60eb56,
+    0x2933c05f, 0xa99ad1ac, 0x3b115f81, 0xe2a172a9, 0x122c6e8f, 0xda1ea9e0, 0xcf5f0444, 0xb6484d42,
+    0x5fe8a1ca, 0x711e8fb3, 0x39448e19, 0x7c3f302d, 0x0df79f3b, 0x79559e15, 0x3b744e55, 0x81e020cc,
+    0xfb3d3edf, 0x26a1619b, 0x38280296, 0x3fa2523c, 0x48dc34e3, 0x1db80be9, 0x58dd2f9d, 0x00971928,
+    0x354e0e74, 0x8c9a596a, 0xcafbdc2e, 0x34c1b6f1, 0xebaf565a, 0xf2f84d1e, 0xdf569383, 0x4841b3f2,
+    0x2984bad5, 0x80f52367, 0x286565d9, 0x526cc109, 0xa0d5f8f2, 0xc386808f, 0x14064577, 0x3f8177f4,
+    0x6c0608a4, 0x954ab502, 0x5a49e49d, 0x9a8d0a23, 0x6a934b61, 0x5736fc80, 0x8e7e282b, 0x3c080271,
+    0xe40b5104, 0xfef6e338, 0x332dfe4d, 0x8e5d219f, 0x31bca555, 0x8841aa24, 0x604deab2, 0x4ce310ca,
+    0x5ab3dbd3, 0x93c64dce, 0x08c1fef4, 0x6fa52992, 0x506f163f, 0x867afede, 0xe8dc10e9, 0xdd8ac114,
+    0x8d027596, 0x86984f75, 0xbf59f337, 0x9038b34e, 0x0ebcecf1, 0x0a6bd34e, 0xa88c1651, 0x24273713,
+    0x29dd5716, 0xafeabea3, 0xdab3bd70, 0x4355c008, 0xd9fd1a79, 0xcb75fc84, 0xf12de94e, 0x0562e06a,
+    0x546e2fbc, 0xa3ad0f46, 0x234e5b49, 0x118d0cba, 0x9256c735, 0xcf52d5a1, 0x41339e9d, 0x548406ee,
+    0xd20a7de1, 0x1e745b96, 0xd859dea0, 0x2bf3128a, 0x361e4871, 0xa6dc3c97, 0x25441b1b, 0xbc49ea63,
+    0x114b21bb, 0xf92f721f, 0x75c2d991, 0xe54f2f95, 0x25a1ba89, 0x1d33193f, 0x3a908f18, 0x71fd1d16,
+    0x7445bff7, 0x2a78f207, 0x343e5223, 0x326c17f6, 0x946bd54c, 0xdd2aad36, 0xc8140616, 0x134a5858,
+    0xbffc66b0, 0xb67e17e9, 0x869e2bb7, 0xf65c5d09, 0x370c57a9, 0x3b22e069, 0xf53db92b, 0x97f6bef3,
+    0xe715aa14, 0x0fa24642, 0x3192f224, 0xe9555613, 0x56030631, 0x28bf2b55, 0x7048393b, 0x9348f915,
+    0xb52fb892, 0xb2da8ffd, 0xbbf4b72d, 0x701978d5, 0xf4b9df5e, 0x03def50c, 0x765d2773, 0x64da24b5,
+    0x0875d8fb, 0x2d6a3e27, 0x11d6f215, 0xebf72f1b, 0x3aeb2dc1, 0x248b629d, 0xc95b9edc, 0x9a9f4325,
+    0x61fa6a82, 0xae9045c8, 0xadd7b3d0, 0xe08e8bfb, 0xe96f4e0d, 0x226397ea, 0xe9a84b11, 0xe7519413,
+    0xd76875dd, 0xef4c4456, 0xfe1a91ce, 0xfcfe14a7, 0x9fed7d11, 0x474bb019, 0x227d6883, 0x8b36db39,
+    0x369d7d21, 0x1f397055, 0x0d3bf014, 0xf0a014d7, 0x0871e048, 0xd3537530, 0x3e765f1f, 0xaaf19a46,
+    0x7f76d6d1, 0xb8d76cb5, 0x2c2190fb, 0x3ab9694e, 0xaf495def, 0x9a6ce600, 0x68b1bf57, 0x8f3860e0,
+    0xb0aca550, 0x8500cf13, 0xdf8c7876, 0x5ca2e4cf, 0xead9ffce, 0x3353b610, 0x9fa71593, 0x61eece97,
+    0xb1749041, 0x05ee1279, 0xa2554e3e, 0x70d75d78, 0x2f340304, 0xc3f2bc0a, 0x008ed6f1, 0x6f26ec2b,
+    0x47fc166d, 0x64ff2e16, 0x84d9e569, 0x069a504a, 0x5b79b5b2, 0xeec51f1f, 0x732bba51, 0x4ba83da1,
+    0x97387476, 0x046c4467, 0x35616985, 0x898c944e, 0xb8ef0360, 0xc4156568, 0xde539c73, 0xff69b7ae,
+    0x92443919, 0x5e53e655, 0x811950d4, 0x592dbabf, 0xbeddc892, 0x4e2b4156, 0x382bf2a2, 0x9b877695,
+    0x0dcea9d8, 0x932f31ed, 0x96a25fce, 0xf3d38904, 0xe736c62d, 0xc3c75d67, 0x0f08c031, 0x776d7ede,
+    0x6926ad7b, 0xe774759f, 0x80bb5b19, 0x443f9795, 0xfdd284fe, 0x6a115240, 0x9fbb5192, 0x9af2ed51,
+    0xed0ee86c, 0xd8206434, 0x2780bf67, 0x5719d721, 0x52efe7f5, 0x4412f4ee, 0xfb35b54f, 0xad53e8a3,
+    0x1765230d, 0xa57fff7b, 0x2489c349, 0x5987bad6, 0x00a183ff, 0xd86363a5, 0xc543bcdd, 0x59da5a6f,
+    0x2a7ef414, 0x115ce2f7, 0x2f295866, 0xddcb360c, 0xfd036378, 0x21ef936e, 0x0d4149ae, 0xb1d0d090,
+    0x2ebf669b, 0xa9558d72, 0x94002ad2, 0x55ea6fac, 0xcf3c6917, 0xa8eb6ee1, 0xf6d63660, 0x882a0a5f,
+    0xe947d6ce, 0x24bc722e, 0x56f04df7, 0x3caa9e1c, 0x45720be3, 0xa19241a3, 0xd2329f7a, 0x39124562,
+    0xa44e965f, 0x3b03aed9, 0x9dfef243, 0xf0df1c2a, 0x93c6ed42, 0xb1006e7b, 0xe5956948, 0x1dc6318f,
+    0x550b7644, 0xf65dabb2, 0x931ebdbf, 0xa03cf1cc, 0x7803003d, 0xc46738da, 0x976cb2f2, 0xee6a145c,
+    0xa7e1b2c9, 0x188dc8f5, 0x58993937, 0xc3531314, 0x1f41db6b, 0xbd779509, 0xe55c7003, 0x1ceee65b,
+    0xa8e6e8d4, 0xb8ad99d0, 0x32ddde96, 0x4c2f9d0a, 0x473d78cc, 0xca17353e, 0x7cac0e58, 0x63c43556,
+    0x920eefcd, 0xcb28d3ee, 0x33c7525b, 0x4423d661, 0x1ee7cbbf, 0xa1cd9aff, 0x0911550a, 0x5582f25a,
+    0x543725da, 0x5ce31400, 0xc136453f, 0x0e381c68, 0xaf71266b, 0x2f5b743f, 0xd0146b72, 0x9d7e854d,
+    0xa69cc671, 0x241228fa, 0x4e74ac09, 0x1f0c4586, 0xc2c3a6cb, 0xe037f518, 0x0bc072d9, 0x26ac4eb8,
+    0x2ae2941e, 0x8ac91898, 0x1677319d, 0x960690c8, 0xf1c8898d, 0x5bae9a05, 0x36283686, 0x451cd0d8,
+    0x830c994e, 0x8a550b34, 0xad15e913, 0x72bc45f6, 0x512627bf, 0x4b2c99da, 0xa439f751, 0x436d6f7f,
+    0x8103614c, 0xed2b5f88, 0x3a62f8c7, 0xc8d77f6a, 0x4c1c9279, 0xbdc1a123, 0x5a248745, 0xf0813da8,
+    0x800b6e0a, 0xc49720ce, 0x97e66c6a, 0x3f45536d, 0x57e23c12, 0x5c65d90a, 0xdd9a5191, 0xce03e16e,
+    0xbae32cf5, 0x33756c82, 0xfc9e6080, 0x36942292, 0x74965da1, 0x6bf31bea, 0xdda06463, 0xfe0bd73f,
+    0xfff3a193, 0x1a3f327d, 0x7ba43634, 0x1c6b566c, 0x5318b833, 0x592f1a8b, 0x30209dd2, 0x279db493,
+    0xc6b8753e, 0x14ebd04d, 0x82bea76b, 0xb998afef, 0xb92e8812, 0x30bd6d8f, 0xf1e4c23a, 0x3261aabf,
+    0xba6327be, 0x9d241da7, 0xf373b8a7, 0x221c5178, 0x0bf64b6c, 0x61fba84a, 0x95c97467, 0xe4241765,
+    0x5fa36447, 0x14f4acfd, 0x5d3c9065, 0x4a84d858, 0x2b6fea49, 0x2a8c0ba6, 0x954aeb19, 0x4542fd8d,
+    0x66af773e, 0xffce3352, 0x886a1fe4, 0x9da89e90, 0xcb886c2e, 0x3b7218e6, 0x9de2ab33, 0xfd1e35e2,
+    0x6709b5d4, 0x362d8e4b, 0xb1449b4f, 0x533f24cb, 0xf34e6948, 0xab2e2f0c, 0xcc1927a6, 0x30e0d68a,
+    0xe81ab3be, 0xd7471007, 0xc838a9d6, 0xa8704731, 0x2a000848, 0x36a74b62, 0x9b78d866, 0x03c4c3d8,
+    0x4eba753e, 0xcb1c11f0, 0x11d81854, 0x61c0819d, 0x5af0a94d, 0x2878a042, 0x8263b85d, 0xec120ac7,
+    0x5014f447, 0x9da40f47, 0x96683278, 0xcc81ab3b, 0x004cb656, 0x72c990a0, 0xd4692ef1, 0x74fdf0ed,
+    0x92cb0070, 0xca81db5a, 0xd21d9c8c, 0x2eed43ab, 0x2ecb086e, 0x21f76691, 0x38ffe094, 0x2a400953,
+    0x64703152, 0x381863d9, 0x97c1ac42, 0x656e023e, 0xe9342fdd, 0x354c2dc6, 0xa2f94925, 0xe474a6f0,
+    0xaf51fc3b, 0xac86f20c, 0x1d2f66cf, 0xfbb3d4d0, 0xafe8891c, 0xd79144c6, 0x07205a76, 0x9db08d51,
+    0x0991d413, 0x1491fb36, 0xa4f42e68, 0x0ff825e2, 0x25b65e5c, 0xd5550327, 0x5a79a333, 0x129eacb1,
+    0x8f8e6da5, 0x8aa9e559, 0xc084d035, 0x76e9b493, 0xb81734de, 0x782c926a, 0x7bcde53f, 0x2cc7d17a,
+    0x6d19764f, 0x32c72ac9, 0x7cdbf81d, 0x03058089, 0xdc598573, 0x72cfb4ab, 0x4ca13273, 0xdb867f65,
+    0x96b10b83, 0x0c558811, 0x7aa2bd07, 0x2e196e41, 0xa208b487, 0x13558036, 0xac0b9891, 0x8214b56a,
+    0xb4e5621f, 0x488a4ea6, 0xe8bcc4dc, 0x5e24e1e6, 0xb9b0225c, 0x1d60f021, 0x08505b91, 0x87c1b803,
+    0x63b48746, 0x10da55fc, 0x45fdd358, 0x9ee40efc, 0x7d84c3f2, 0x1c18c595, 0xb92022a4, 0xd2533d82,
+    0x69f04676, 0xa7dfa327, 0x9e4816a8, 0xa9d513ac, 0xf7d6403d, 0x04a19663, 0xf453b597, 0x2cf76043,
+    0x129a08dd, 0x80fc7c9c, 0x53aa994d, 0x95f4782a, 0xebf77305, 0x6ec9f875, 0x0e18dceb, 0xc9e46cc0,
+    0x334fcce0, 0x29226eab, 0xf810443b, 0x1d863cb5, 0x29b61d5d, 0xd44a8202, 0x8e4409d2, 0xbf94d0e6,
+    0x8a932cbf, 0x2fc21a17, 0x4fff201e, 0xec3d6ca2, 0xb4271bac, 0x122580eb, 0x76877f91, 0x5c7de8b5,
+    0x46b1b07d, 0x9ce175eb, 0x066298eb, 0xa3f80234, 0xb7bf1642, 0x4d95e7b4, 0xb5b28537, 0x090ec84f,
+    0x7686fe4e, 0x18d87b7f, 0x12df63ad, 0x3c400ab2, 0x93f08fb6, 0x501e0e78, 0x6b934289, 0xf93f4726,
+    0xf906d22d, 0x2b862c53, 0x616846c5, 0x66601939, 0x0240a879, 0x106d57f0, 0x284a515b, 0x30258033,
+    0x9bb2db1d, 0xb979afc2, 0x3dccc9a3, 0xe8e94bf1, 0xd5eeead3, 0x8fa0ca2f, 0x7902958f, 0x2a88ffd9,
+    0x603e6d92, 0xe76d4149, 0xc96ead08, 0xe0f37f00, 0xecbc27b8, 0xe9395616, 0x7ff6a6e5, 0xe5c47a27,
+    0x6d7133fc, 0xb515c428, 0xea441e11, 0xfa264ea9, 0xd0c2dbb5, 0x29c2b18d, 0x135126dd, 0xd65cba03,
+    0x07c7b96a, 0x9580213d, 0xfdfa821a, 0x67ffd8b4, 0x7529d3b3, 0x0e799d63, 0x0a3fb14c, 0xec3d65d3,
+    0x65aed7db, 0x0324f1eb, 0x0273c7d1, 0x1201455a, 0x7acb68f7, 0xdb03fa23, 0xd9dec8b8, 0x5b17b400,
+    0x872ccde1, 0x62be75f4, 0xa4ae0176, 0x100764ac, 0xff390bcb, 0xee59644d, 0x3178838b, 0xfe14eff0,
+    0x7b4aabbc, 0x19caf272, 0xb623759a, 0xc669de86, 0x87c5b69d, 0xff7108a5, 0x6b8966a0, 0x1f081d48,
+    0x156d6fef, 0xc3300028, 0xbcbd70d2, 0xb7501f78, 0xdbf5d29c, 0x56b6b15c, 0x8b3ce9ac, 0xec2cdd5c,
+    0x06357976, 0x26065d86, 0xd1145f5c, 0x3618218c, 0x795b4d35, 0xc8ea122e, 0xdd147f3b, 0x6d351caf,
+    0x7e6a066a, 0xe91b363d, 0xb44c063f, 0xadf9fb21, 0x46d6c951, 0x1bb84fb0, 0x6223f887, 0xc47de8ce,
+    0xa328d53b, 0xa3f25c8b, 0x1f6d961f, 0xfcdef463, 0x60e94221, 0x41b39de1, 0x7b69a68c, 0xd87c31af,
+    0x355ebfa8, 0x899e1639, 0xa57d3c17, 0xc4bb791d, 0xbaa0f1ae, 0x796714a0, 0x24497e5b, 0xbd734916,
+    0x4624986a, 0x35afd6ef, 0xb63fa737, 0x10ca05f4, 0x4e4d0903, 0xef1adece, 0xcca7e35c, 0x332b3848,
+    0x36680b16, 0x9b1103c5, 0x7710f5c9, 0x42a64aea, 0x0b25d906, 0x4ed6fa34, 0x95e01126, 0x1bca53e0,
+    0xeae4c2c7, 0xde1efee3, 0xea95ef49, 0xd7284d32, 0x7607fae1, 0x05a947cb, 0x89405f79, 0xec1385c0,
+    0x7b166a2e, 0xd6f9ea80, 0xc0eb2d7d, 0xfe0967f7, 0xf9741695, 0xd13e7f31, 0x5b305fff, 0xfa9611a4,
+    0x04f0e281, 0x7d88bdfd, 0xfffe934d, 0x8cec59b2, 0x75279156, 0x56101880, 0x6220844a, 0x0009a739,
+    0x029b13a2, 0x33ff0142, 0xf4ffc336, 0xebac8235, 0xcdd8a6a9, 0xd1a96406, 0xf63c4e88, 0x380a50dd,
+    0x73c7f3d6, 0x756f3d60, 0x38adc069, 0x79398ca2, 0x91e373d8, 0xb6f6d452, 0x9e572bb2, 0x8c6f10ce,
+    0xce17e269, 0xbce458d6, 0x1f7cf03e, 0x20debe7b, 0x6b22d3f5, 0xdd5d5d39, 0x4a8c649d, 0x3f8bf654,
+    0xbadc9135, 0x3c2a2982, 0x7bf00ce4, 0xe58b5730, 0xb36b9cf7, 0xb06d557e, 0x17a76dbc, 0xc14fb209,
+    0x3b8af283, 0x3e5911d8, 0xa9d5a9e5, 0x92e1ab78, 0xf911c106, 0x987e6d99, 0xe0771ab5, 0xa0adae65,
+    0xdc591015, 0x6f716370, 0x4ef6cefd, 0x55b4004e, 0x75bfde7c, 0xffc26d34, 0xf65cf694, 0x3cd3194b,
+    0xe698cc45, 0x25c90a13, 0x4c1f4ee4, 0xa10b9555, 0x57877822, 0x42ed3c36, 0xd05ef4af, 0x867af650,
+    0xccfbc2e2, 0xaeb9f834, 0x7a7ab552, 0x052d2247, 0x3698bd4f, 0xe26ceaa5, 0x193c26c7, 0xac67adbf,
+    0x506746cd, 0x9d1cbfbf, 0xa05e1428, 0xf51d06dc, 0xb6f69500, 0x84186d7f, 0x1bd8fb8f, 0x214308c3,
+    0xdcc013a3, 0xa974911b, 0x3193cf49, 0x4a080583, 0x73009708, 0x2758769f, 0xddfb9e60, 0xf7eea398,
+    0x825fa246, 0xcbb4762d, 0x946705d2, 0x85601b54, 0x82d4d20b, 0x87be0ea4, 0x8dfb074e, 0x7db4bd06,
+    0x97086832, 0xcfd6c365, 0xeecfbbe2, 0x0dfc2d81, 0xdcbd40b0, 0x5ce7f56e, 0x0a85e0d1, 0x33b096c5,
+    0x05d2e280, 0xd6242158, 0xe9442c6b, 0x2b6646a5, 0x3cbe5374, 0xf7b3a63a, 0x5957a21f, 0xe9d4dffd,
+    0x8a856f98, 0xe8f1c90e, 0xae5c1b94, 0x0bdace9f, 0x44ab8192, 0xc0fe86f1, 0x5be13774, 0x2740f96e,
+    0xeba4f614, 0x865e9cbb, 0x67d0108c, 0x816a889c, 0x47f7b4a0, 0x12dbf89c, 0x80369154, 0x1fe4294e,
+    0xc8c3d70e, 0x6d6a667b, 0x2938bb70, 0xaeb161eb, 0xa83cab9f, 0xd2c275ec, 0x1777739a, 0xad35ffe4,
+    0x5f1f04b7, 0x2682bb3f, 0xf38250a5, 0x3fbf7570, 0x92c99e57, 0x6ef752bd, 0x29de854e, 0xbfa68195,
+    0xb0818cbc, 0x4cd1023f, 0x16619f2c, 0x8cd0f72d, 0x6a0bad3b, 0x3180ca35, 0xc8f5f858, 0xd70cc2db,
+    0xc16cee37, 0xd72c5432, 0x56c2033f, 0xb623d640, 0x204c6533, 0x043a8874, 0xaa6c5b71, 0x416568b2,
+    0x166c4b09, 0xf8dce9e9, 0xe8fee1ad, 0x4efac1be, 0xc58d3085, 0xb614c05e, 0x44247c6b, 0x9e23c326,
+    0xa0ae0bb9, 0x2e090ae5, 0x9e6866e5, 0x6f08625c, 0xd53ef1b7, 0xf34e31ce, 0x3efcf01c, 0xa24331ea,
+    0xc8833a43, 0x36674983, 0x5df3ee34, 0x7b46a908, 0x61c5b20d, 0x136634ec, 0xeef1ffaa, 0x9ff72186,
+    0xf9c279ab, 0x6b84fef0, 0x7ac345c1, 0x7a022f6e, 0xded9fa09, 0x254520bd, 0xda3d991c, 0xb947ebe3,
+    0x8f9fd132, 0x5f9551b3, 0xd2d8597c, 0x395c7a65, 0x7f0d5e0b, 0xecca06b9, 0xecf70b49, 0x6b8cc24d,
+    0xa445b56f, 0x6a54fb5a, 0x259cea31, 0x4720612f, 0x0655b6ee, 0xf4116f01, 0x6cf4abee, 0x965ca5ec,
+    0xd8c2388b, 0x9866b373, 0x279ba4d7, 0x092080d8, 0xaec70142, 0x1ce9dc0a, 0x8b211bbc, 0x3b3824af,
+    0xa5756129, 0x9fa7b604, 0xf7ccbf97, 0x9f51c09c, 0x8fdd8b8f, 0x6c380d97, 0x9d336871, 0x05c2f6ae,
+    0x82a4a780, 0xcefb0582, 0xaa297ea3, 0x67039fa9, 0xc5fa08ff, 0x27bcdf08, 0x6860dbbf, 0x8c095389,
+    0x00000000,
+    0x9a4ea806, 0xc94092cc, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000001461501637330902918203684832716283019655932542976 */
+  { 0x00000000,
+    0xb2c4e113, 0x0e0c1559, 0xcc496d61, 0xa00f2b93, 0xbfa182da, 0xa2c3a9d1, 0x751b79e4, 0x3aae8ebe,
+    0x46b4efae, 0x09a6b710, 0x875f7eb0, 0xc3e12a66, 0xce3f138f, 0x79218af2, 0x199f2d09, 0x26468bf5,
+    0xd3d67680, 0x61921607, 0x2df4be3a, 0x27fae6a4, 0x7b98cdce, 0xce332a03, 0xe2ca42f4, 0x483cdd13,
+    0x27495df6, 0xa734ff2a, 0xed495fbe, 0xe90d51e9, 0xfbcc7e70, 0x791f8dda, 0x6cb1acc9, 0x8ed66c60,
+    0x91cb612c, 0x7b3c825b, 0x72fd1d9c, 0xa1d6df0f, 0x3b373680, 0xdfee514d, 0x3a7bef1d, 0x9ad31284,
+    0x1f020169, 0x71cbff03, 0x12b3e145, 0x9a76fbf7, 0x3727f60f, 0x37c0aeb0, 0x7e22ba73, 0xde626229,
+    0xd4716922, 0x7acc5998, 0xb246bd4b, 0x28d95b6d, 0x782f0ee4, 0xbb0f8c21, 0x05ae2c41, 0x1de61fc5,
+    0x65a1057b, 0x04b263b2, 0xbc0b4d0a, 0xd2e68f52, 0x777db108, 0x067f616b, 0x40ec03fa, 0xefd03c16,
+    0xbbf6fa82, 0x33b1ce4a, 0x20d56a66, 0xe85a93f0, 0x64b7051c, 0xef84fcf0, 0x0f832a80, 0x3678b3bf,
+    0x408f2668, 0x9a4ac8a6, 0x31f3c012, 0x8127e47e, 0x2bb5d549, 0x57cda76b, 0x0fb3238f, 0x932d5230,
+    0xe6d7b12c, 0xd225fb13, 0x6625120a, 0xb5b6faab, 0xa4565e75, 0xb9752c1f, 0x768a98f0, 0x16307da5,
+    0x62aa32d3, 0x4f215207, 0xec4733e4, 0x526a655d, 0x6272e93f, 0x034e32bf, 0x5c943edc, 0xb27a85e2,
+    0x9c81a2b7, 0xd87f0d86, 0xe0628ba7, 0x8115cdc0, 0x585ede41, 0xaba38749, 0xc5fc96bf, 0xcc5cc92c,
+    0x9736446c, 0x3c2b3d68, 0xafc0016a, 0xf15d5e46, 0x9289baf8, 0x200004c1, 0x496f0f6d, 0xf4602214,
+    0x5def7059, 0x502fb794, 0x4fb07a52, 0xf3000471, 0xae206db7, 0x997bec24, 0x1a34fa40, 0x8c4a7d22,
+    0x9ba0ae09, 0xd569d1d4, 0x9f329f7d, 0x62884dfd, 0x96ac8794, 0x41c3016b, 0x560b6953, 0x02455a98,
+    0xdcc7520b, 0xc2d32f78, 0xd43ecfd2, 0x3e065978, 0x71edbe71, 0x590196ab, 0x2bc4be3b, 0x5c8fd3c3,
+    0x43ffedae, 0x21bc669a, 0x2c3d6ece, 0xe56e1ca9, 0x97ce8499, 0xa70ced24, 0x8c292bdd, 0x1bdb1c68,
+    0x81c2255e, 0x8d0f4926, 0x1d651f2d, 0x27cab821, 0x9e217ecc, 0xb3681383, 0x7e5a888a, 0x6bb36bd0,
+    0x88ff38df, 0x75bf2365, 0x67bc3693, 0x29e3b651, 0x5bbd5011, 0x95fc9c77, 0xeb7a3c80, 0x354e2270,
+    0xc4e2ee71, 0x26571aec, 0x55a20fcc, 0x639a998c, 0xdb9f04d9, 0x75a5a931, 0xd59fec93, 0x7f30a9e8,
+    0x5023ba3f, 0x35822d17, 0xd5b46f1b, 0x9a152e75, 0xbe593569, 0x78d2898b, 0x66c04634, 0x3f14c78f,
+    0x5550d298, 0xa6705682, 0xe703b1cb, 0x3631dfe5, 0x3614b4bd, 0xb711b4aa, 0xa6c23165, 0x15dff9fa,
+    0x1587f1c8, 0x5d05fc79, 0xa0bf99b5, 0x409bf7cf, 0x57b676c8, 0xded7f4b7, 0xfe622549, 0x106bd221,
+    0x5d5050a3, 0xdfe8850b, 0x371c5152, 0x67b3613f, 0xcf1b6102, 0xc2c1703a, 0x191233fa, 0xe21881bf,
+    0x842d4c16, 0x18a5b871, 0x1592d8a4, 0x06312093, 0xd6d36a41, 0xd46bb272, 0x07f27c11, 0xd517f6ce,
+    0x9fc9bc04, 0xff32f635, 0x662df147, 0x4108ceaf, 0x3be6eb59, 0x01fbdc06, 0x4454c9f0, 0x1dd2e3b7,
+    0xe28f3ac9, 0xa95c6fbd, 0x446b007e, 0xadf6856c, 0x6516b1f3, 0x6a3ac57c, 0x1bcdfe92, 0xb7515615,
+    0xa047f32e, 0x946f6fc5, 0x881ad93c, 0xbf44e381, 0xdcdda18b, 0x29f29edd, 0xc665de48, 0x21167408,
+    0xd0cfffb9, 0x127f996e, 0x3dc67784, 0x5a935842, 0x5e3fa7de, 0x5e7ddd4a, 0x14ba8d31, 0x9f5342d9,
+    0x53858824, 0xa9e8ef80, 0xf5499bed, 0x1e9c1d02, 0xb2f496a8, 0x3e497979, 0x1aa27c9c, 0xf7f0d8d7,
+    0xb5747f37, 0x345e8744, 0xb1eea58a, 0x98c5ba58, 0xa2448066, 0x376d4098, 0x76ca5158, 0x54c36d62,
+    0xa0c21104, 0x0e0b2916, 0xaa5c886e, 0x131f6666, 0xe24d2623, 0xa26199a1, 0x355800ef, 0x55ca8a89,
+    0x4e37412a, 0xe6a763a8, 0x0b370491, 0xa342c106, 0xda397f2a, 0x59429b5e, 0xcf9c05ab, 0x94cffaf5,
+    0x6c4215d8, 0xa570ba21, 0x576bafe8, 0x9becb01d, 0x2194ef48, 0x027bb7b0, 0xbb218ab1, 0x024d9c94,
+    0x1f2ca4d9, 0x24d6d5d8, 0xe42b7aae, 0x27221f92, 0x23972135, 0x3e50deae, 0x53c1c151, 0xb050eecd,
+    0xb8218e3b, 0x96795343, 0x5246d95f, 0xc6ddd424, 0x614e862e, 0xc7885898, 0xfa3aa6e3, 0x86a96db4,
+    0xccc607f2, 0xbcc82bcc, 0x2614d7be, 0x835de19d, 0xd4c5ca7d, 0xde188fdc, 0x664082f1, 0x3dde11b1,
+    0xa95decb3, 0xa3d0ff96, 0x33cabfef, 0x69bc471e, 0x46e696f1, 0x547fd00f, 0xe9814f4f, 0x3a0556c3,
+    0xe585c3b9, 0x444477f9, 0x7c41828d, 0x7dd05ecb, 0x7d702bcc, 0xe7226524, 0x1636d092, 0xcadbc342,
+    0xfb8b2f16, 0xfb8e2118, 0x68ab0d02, 0x77207be8, 0x67b8a38b, 0x79c7d70b, 0x0d9df05f, 0xd64abe81,
+    0x7562f987, 0x210a77be, 0x1bda4b64, 0x850cfc0f, 0x1483ce0c, 0x13630ac4, 0x3e47f4bc, 0xb1c60993,
+    0xc3c34487, 0xe91ab57b, 0x5b8bbe99, 0xb7abedf0, 0x35824123, 0xe6710028, 0xd1ebcb9d, 0xca4ac3df,
+    0x4c86b308, 0x1cd7a539, 0x068325bc, 0x8ee38fe5, 0x1ffde01e, 0x267fbab7, 0x5f7e03c1, 0x88738b46,
+    0x2835d246, 0x7e786d52, 0x100756d6, 0x701d2075, 0xba5d126f, 0xd99703e4, 0x54b93fd2, 0xdc5f0768,
+    0x713a7400, 0x23937410, 0xed21606c, 0x3b7f6308, 0x0de7346e, 0x7fd95018, 0x713449bb, 0x88ce37c0,
+    0x85205a15, 0x049619bc, 0x5d461592, 0x6eedcb9e, 0x7eea4b3d, 0x4e40ef05, 0xcef6a00a, 0x158d6012,
+    0xfea43aed, 0x42b7f990, 0xaa556273, 0x9f062d01, 0x3d0e4249, 0xe15bf66d, 0x2e6c2352, 0x91db507c,
+    0x1cdf62d0, 0x1296f58d, 0xde2f58e1, 0x35580f28, 0x96438ed7, 0x012d1517, 0x3556132f, 0x5e85aaa4,
+    0x795abad5, 0xf51d2aed, 0x1ecca5cc, 0x19c893af, 0xf8c21e18, 0x327d2501, 0x0ffe7f13, 0xf2db5263,
+    0x83f68a3b, 0x3ef27a95, 0x4ec441c0, 0x3ed80279, 0x7deca247, 0x73fc1a8c, 0x8523288e, 0xe9205b48,
+    0x1cd7c7d7, 0x6b1bba53, 0x1d45b652, 0xbf2764d5, 0x7e2a14fb, 0xeac461d0, 0x17d72ae7, 0x6882abf8,
+    0xb449d510, 0x49b9fd59, 0x51bbb89f, 0x6da16f4f, 0x138672f2, 0x126fb654, 0x7810b888, 0x80f1f37e,
+    0x876aba5b, 0xa1a7025f, 0x4fb2aac5, 0x6a13e35e, 0xe9b90695, 0x795f3c57, 0xca47e7b6, 0x611bdb2d,
+    0x3c96cf83, 0xc0dd192a, 0x014aaa19, 0xef55339b, 0x6e61f0b6, 0xacc6afa8, 0x8d6ed0e2, 0xbee521ea,
+    0x56698e2b, 0x759b31ba, 0xdc39e381, 0xe0e0cfb5, 0x94412e55, 0x9e4dba80, 0x92f41696, 0xc8c80c41,
+    0x7f75e0ab, 0x2342ff5f, 0x33efd918, 0x0c6949e8, 0x205c18c9, 0x9e2de92e, 0xfe0716b8, 0x2bf2553b,
+    0xed8a7fc5, 0x10cb29da, 0x2661d2c2, 0xfcb7f396, 0x49b0dfd8, 0x50e46d08, 0xe7afa16c, 0x055eb831,
+    0x4cae1478, 0x39b3cee5, 0xf0c32c88, 0x56cc1c63, 0x5a11bf66, 0x1bd11f02, 0xefcd1552, 0xffbbbc6b,
+    0x9b6fa09b, 0x30d55bba, 0xba36e17b, 0x4d247734, 0xac550f26, 0x60c43d37, 0x88980825, 0x36610088,
+    0x063d0a1c, 0xf70ca9d6, 0xedb7b638, 0x9e1074c5, 0xc0258511, 0x369d2ca5, 0xbbe94573, 0x3e6c49e5,
+    0x646e0d0e, 0x82a6b9f0, 0x4aac62ba, 0x364ff9a8, 0x918f3dd3, 0x9b529fa1, 0x14ae5d6f, 0xb3851f64,
+    0xe277a679, 0xb7b74562, 0x69d73431, 0xeca388b8, 0xa4aa9d9a, 0xf0be731c, 0x0f33cb75, 0x0f97cd82,
+    0x86d06ad3, 0x0668838a, 0x5164f8e7, 0xebcea73e, 0x55517ebc, 0x87548858, 0xa73402a3, 0x1c83f1fd,
+    0xd8483fac, 0xd131b4cc, 0xf7f21518, 0x6452507b, 0xb7aff0e9, 0x251aa132, 0x19bf60ff, 0x12141080,
+    0x5d59a113, 0xea1ac406, 0x6d58791e, 0xc8dca2da, 0xe781247c, 0x342660f1, 0x91cc879f, 0xeec03257,
+    0xcad075b7, 0x05258454, 0x7c8b9ce3, 0x65893a01, 0x6f460fca, 0xd53c0e67, 0x0f1d11c2, 0xfbb916c1,
+    0x270d6db5, 0xaee5a329, 0x0635eb1b, 0xc05e2b4b, 0xa0821914, 0x9b5e9f3a, 0xde311007, 0xcd57e4b4,
+    0x8a65d3c5, 0x6fb2851c, 0x430a597a, 0x779c14b0, 0x846a9bef, 0x0a89ca28, 0xfe77dc46, 0xc3e1e4fb,
+    0xdde2862b, 0x7429f53d, 0x72da974e, 0x1be364a4, 0xc29ef223, 0xad297d63, 0x6d526787, 0x9b1fd9b9,
+    0xe55ad8c0, 0x7794177d, 0x7cc9fc4f, 0xc426e8ce, 0x15c12dc0, 0x85d38883, 0x995ac85b, 0x1c2c258b,
+    0x80740709, 0x7c8fffc1, 0x802d46fd, 0x55e853cf, 0x04498158, 0x89178982, 0x3f9bbd23, 0x72012fd9,
+    0xde1fc703, 0xf62b9fee, 0x7c4807e6, 0x2b688b45, 0x3bdcca7a, 0x1b6349d6, 0x1a5e3b33, 0x0933ce8b,
+    0x69f3c24a, 0xf14cfaa5, 0xbd2a68d4, 0x082a8f7b, 0x5ce1c7fe, 0xfe40e833, 0xf340746c, 0x165dff04,
+    0x6ae270b1, 0x97525e79, 0x8680385b, 0xeb06142c, 0x299f7e0c, 0x466744a2, 0x799424be, 0x3a59d6aa,
+    0xb4b8119e, 0x3c864977, 0x1ecf6dc9, 0x6cd4db96, 0xe9f55d86, 0x66090b9d, 0xf83409ff, 0x9b03ffe0,
+    0xfd752b2e, 0xd97774b8, 0x7f539da0, 0xba92c708, 0x99c06346, 0xdc6149b1, 0xaed0e142, 0xd3252034,
+    0x68f0a65e, 0x7d80251b, 0x22c76627, 0x98a263f0, 0x804e8780, 0xeef3ebf3, 0xdf664165, 0x696d9d1f,
+    0x13a89523, 0x9cc8b1bd, 0x9a734d03, 0x80f05cad, 0x08aeaa73, 0xb4553108, 0x4416789b, 0x74218533,
+    0x0812ec39, 0xd0fa848b, 0x1dcd1c37, 0x5a72b1bb, 0x8a3c11cd, 0xc3dd86ac, 0x0963d169, 0x469c92dc,
+    0x3535b582, 0x89cb4786, 0x93f899f2, 0x1fc30951, 0x177b9d69, 0x7193d2ef, 0xa686130b, 0xb7a635de,
+    0x9a432dbf, 0x37d2aee5, 0xb65f0641, 0x2f6783c1, 0x90402b1c, 0x7a646ac7, 0x4b013c5d, 0xee02ee02,
+    0xb03170b4, 0x92c0dbc5, 0x46047c65, 0xebc6df5a, 0x50774591, 0x6edfcc7c, 0x9f4a4830, 0x324e0226,
+    0xb303116f, 0x250b8c0e, 0x994bc8f8, 0xc50379c0, 0xd6b6d42c, 0x015df0a2, 0xd436d98e, 0xc6834b2d,
+    0x7d14e69b, 0xe1804286, 0x7b814143, 0xbf8a71a4, 0x39f87c52, 0x0576ee64, 0x13ceb63e, 0xeeaebe58,
+    0xbd496e17, 0xdb86a0f4, 0x455aa31a, 0xd01ed2cb, 0xa4d57ff0, 0xdcd8a070, 0x3666b3b7, 0x7ece79ed,
+    0x2531f79a, 0xdc1fe0e8, 0x78c25d0d, 0x0dbfc860, 0x3ba83019, 0xf1c5e642, 0xb75fab88, 0xdfbca73e,
+    0x2e073902, 0x91e2d398, 0x5434f476, 0xee7d5137, 0x85d81523, 0xeac1081f, 0xee75f8da, 0x7f42197c,
+    0x7d13dd03, 0x70b43271, 0x511942b6, 0x77fafece, 0x0d38db13, 0x9dcd2c2b, 0x5c3f33c8, 0x3c0048b9,
+    0xb76e64d8, 0x0f3d2210, 0xcadd0bd4, 0x417f6850, 0xfa781f33, 0x847e5d67, 0x39e56db5, 0x83f42b3a,
+    0xbba7dd91, 0x5b80c07d, 0x31d090e1, 0xea9f34b3, 0x50aa8c39, 0xb1ca680e, 0x28274be0, 0x5713ae09,
+    0x284cf388, 0x3e89e3d0, 0x142ba2f5, 0x59e53ca3, 0x31a09e23, 0xbe930383, 0xa547221b, 0x804fa1ab,
+    0x626461e0, 0x11e250ce, 0xe2bd0148, 0xca013754, 0x64e1313e, 0x4a4b40cf, 0x352e7bbb, 0xc50b69ef,
+    0x1c7aec4b, 0x114905a0, 0xdfb36456, 0xd6c6ba39, 0xcf09d921, 0x7569de3f, 0xd16ae090, 0xa4c18a33,
+    0x76c2093c, 0x561bb696, 0xdf90ad32, 0xc3dfa620, 0x758be850, 0xf2c6adbc, 0xbdab40fb, 0x3b307602,
+    0x464863f1, 0x7d733ffe, 0xd6093086, 0xe4c93a02, 0x0b69f0fb, 0x8efe7cc9, 0x1ba2c192, 0x315f1c53,
+    0x680719d3, 0x2f1efae1, 0x445e75be, 0xd214cc33, 0x5c80197d, 0x7ffec54f, 0x0fd4f570, 0xb2799d1e,
+    0xa5e371b2, 0xd000347a, 0xce68827b, 0xa9e912bd, 0x4614e21a, 0x34ebb2d0, 0x98ba8e2d, 0xbb658027,
+    0x64bbae63, 0xce37a86d, 0x5c8e8215, 0xa3d31f14, 0xa084ea63, 0xd60bd021, 0x473b187a, 0x51ad98b2,
+    0xf8c23443, 0x33378dfc, 0x8bdbf8d6, 0x7b9b3750, 0xa836ca27, 0x108b2ae5, 0xb3860318, 0xc17ca692,
+    0xb7c7134a, 0x47a0f2a4, 0x7b008d0a, 0x7fb94ca4, 0x5e3dc172, 0x99c742c2, 0x78cf5450, 0x20a5a074,
+    0x3df2d99e, 0x56398e5a, 0x18e07850, 0xb3ed936d, 0x38b82eaf, 0xb83379ef, 0x5b79aa2e, 0xede3ac8b,
+    0xfab70ca3, 0xc787bb10, 0xeb2718b1, 0xdeb2f613, 0xe798df80, 0xbec43c2d, 0xa9369b89, 0x261502ac,
+    0x80d21520, 0x252e408e, 0xdc378307, 0x591834b4, 0x5b4b5b3e, 0x21eb00f6, 0xe38aeb61, 0x3215a465,
+    0x208323fc, 0x99b1cc87, 0xeade12d8, 0x9a3e27c3, 0x35884053, 0x9dd00427, 0x39dd2ddb, 0x5ae8905a,
+    0xe03f61be, 0xcf0e023e, 0x88ac4f29, 0x8648e711, 0xaca7ee75, 0x01fcdc38, 0xd4e1a281, 0x8aebbad3,
+    0x4e6d7ace, 0x8f62542d, 0x42562b27, 0x8323670a, 0x194faf66, 0x2b564d94, 0xda389da9, 0xbf6fc8bb,
+    0xd4e21cb1, 0xf8c4f162, 0xc4a9b01c, 0xd464cc84, 0xc045b805, 0x5b3477d2, 0x27566a59, 0xd7b4d9d3,
+    0x536858c1, 0x70a33daa, 0xd1319d80, 0x2875e769, 0xe6db419b, 0x90feb00f, 0x0c709033, 0x958948a2,
+    0x5966927b, 0x209d62ef, 0x74554d86, 0x13728419, 0x4318fc7e, 0xc209cf8d, 0xb8a7cc96, 0x25b5391b,
+    0x0eec51a4, 0x4efb10f4, 0xdacfcebb, 0xe7444316, 0x8c5923e0, 0x6a958a6f, 0x90706692, 0xcd7ac429,
+    0xbd0ffda5, 0x466ab4dc, 0xe4246715, 0x53e90d26, 0x5223c32d, 0x7dc49ba7, 0x76adc810, 0xff00e8db,
+    0x550135e3, 0x7c18e347, 0x49cfd8a7, 0xd40a6d7b, 0x654e4f19, 0x2dbbcdd6, 0xb56e8eca, 0xac96ffd8,
+    0x3ecf6840, 0x2f53cc61, 0xb19a0e2b, 0x99a26786, 0xb36f1d1b, 0x5ae84002, 0xc488ea52, 0x7a7cc371,
+    0x014a5105, 0x1f8c0195, 0xfb2e02f1, 0x3601b670, 0x4b8e6e83, 0xa75798a6, 0x9d9aa3cf, 0xa63914b0,
+    0xc89569f7, 0xe8059517, 0x0a49b7a4, 0x0afdf646, 0x6e2efe16, 0x9993b3f5, 0x9bb40790, 0xf44fc2cd,
+    0xcab26f92, 0x445c3f15, 0x36a5535e, 0xcbe03ebe, 0x00c9c5c7, 0x143e3511, 0xf6afd8c4, 0x2c3fbf79,
+    0x5af0ac5a, 0x19abcd6a, 0x40809ed5, 0x6935cad1, 0xa4c411eb, 0xc3811e40, 0xbddfb3a5, 0xb1da0e1b,
+    0x134d9f2a, 0x213bbb70, 0x4b48cfb7, 0xbf80067b, 0x8de2335a, 0x8becb484, 0x9c717bde, 0xf55981a1,
+    0x81021486, 0x731fba81, 0xf0504ce6, 0x40e9b609, 0x0093a896, 0x8db58887, 0xdd80cfca, 0xa9929cd3,
+    0x4dafa31d, 0x5abed78b, 0x925b74fe, 0x0f4a2eb2, 0x76247f78, 0xe73911a3, 0x3ceb24bf, 0x2bcf6523,
+    0xb94fcc39, 0xec628c22, 0xe3c4b917, 0x41630c74, 0x12323be7, 0x9b6228e4, 0x5596d121, 0xe2f55ccb,
+    0x77c56dca, 0x6542c21f, 0xdda3faa9, 0x878c4d5d, 0xd2f5c58d, 0x55c56438, 0x929653e5, 0xaa946b14,
+    0x2b39bdd4, 0xf323d82e, 0x31da251f, 0x02c545fe, 0x6c610a65, 0x296e02be, 0xbac50c6f, 0xe537829a,
+    0xc02cbd39, 0x6f2d2b8a, 0x467cee0d, 0x575758eb, 0x8749813f, 0x9591fac5, 0x20b09e19, 0xd3d3321a,
+    0xcc1af1fa, 0x6608dade, 0x4f37ca56, 0x9e9c938c, 0x352dea12, 0x662360aa, 0xb8cc3a45, 0xbd56d4b6,
+    0x00000000,
+    0x4d275402, 0x64a04966, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000730750818665451459101842416358141509827966271488 */
+  { 0x00000000,
+    0xde4d3b08, 0x503f6e4a, 0x661ebce8, 0x889318fd, 0x9d0ea0f8, 0xd6d51a24, 0x0c7bd6af, 0x334cd299,
+    0xd4d6e011, 0x70dbcd1e, 0xf14e5673, 0x62b5adfa, 0x7fed0f14, 0x00403ffa, 0xda46538e, 0xb34a73f6,
+    0xe3c8e230, 0x778bfdad, 0x00ea7c23, 0x74e3de1b, 0x6a5c865d, 0x64fc405e, 0xf969749b, 0x618884a0,
+    0x93948046, 0x75a96654, 0x0f71fa98, 0x79c1d850, 0x924dcd70, 0x46e78bfe, 0x2cc1a8d6, 0x61765d81,
+    0xf7aed6d5, 0x092ae6ca, 0x82eb117b, 0x3916adfd, 0x49a660f2, 0x95786d9d, 0xd0e8dc27, 0x687ce6f4,
+    0xcae77283, 0xdf114d9a, 0x14a5065e, 0x43319966, 0xc09da437, 0x24df3d8e, 0x1c97b4a2, 0x8d57962c,
+    0x0c270204, 0xbc2dbdff, 0xc5fde1ac, 0xca599b2c, 0x1a39daaa, 0xae1e1512, 0x00abc0b8, 0xaadea765,
+    0x1959ec64, 0xd713f4de, 0x5f29b25f, 0x5b3239dc, 0x95fc1964, 0x89b56f03, 0x71ebe60e, 0x89aeded4,
+    0x1d18e7c4, 0xf660776e, 0x49803500, 0x99813904, 0xde107703, 0xcc035910, 0x6cfd3b6c, 0xb939017f,
+    0xe81646bf, 0xcc31bb29, 0x25623c0f, 0x76f3bb83, 0x26d2e199, 0xbfd4f0b0, 0xdc0072d1, 0xe9d65040,
+    0xdf8e85ad, 0x9cd4cdfb, 0x94586043, 0xc4c452ca, 0xe9ef7025, 0xc20ebd80, 0x8680eb35, 0x760b6f4b,
+    0x975f5b74, 0xa61add59, 0xe611597e, 0xb5173ac6, 0xeae6cb33, 0xa02fc693, 0xd3757384, 0x8ddb6b93,
+    0x9efec717, 0x2ca95dee, 0x05bed9e4, 0x04b020cc, 0x398c3c4d, 0x41f5ef25, 0xa3540852, 0xbb866522,
+    0x9817d7d2, 0x4b7b9cd7, 0xd49df4eb, 0x60476bbb, 0x21ad99d2, 0x44b03341, 0x7f42cdab, 0x1d4ea24b,
+    0x365067c7, 0xf64ff2a5, 0x749064ff, 0xa80fa8c4, 0x76eb446e, 0x910526fd, 0x03faec3b, 0xeb9b2c93,
+    0xb1a1ef95, 0x0fc11fa8, 0xca35929b, 0x91963118, 0x3851838f, 0x0149e822, 0xf8cfd1c6, 0x77d57d52,
+    0xf71c2b0b, 0x6652311b, 0xb49075c4, 0xff748e6e, 0x56867aaf, 0xf1297527, 0x2891396b, 0xde052fc5,
+    0x638e2602, 0x2040f039, 0x72c77328, 0x0b4d42fc, 0xb0449ccb, 0x3055024b, 0x218477fb, 0x67357d37,
+    0x92cb9787, 0x01ef1849, 0xe3307de6, 0xfb3b6525, 0x796744cb, 0x5947d1e0, 0x2e27ac95, 0x662c53a9,
+    0x39b46938, 0xef35da3b, 0x79b2ef7a, 0xed0a39e2, 0x4a1b999d, 0xfe32bcdf, 0x37c22c74, 0x18a73860,
+    0x98dbb7b5, 0xd2f7536c, 0x666af5c3, 0x95e5d4c0, 0x5aa357d6, 0xbf710f12, 0xcc01c3ee, 0xb2a67de2,
+    0xc2def719, 0x25d444ac, 0xabe50964, 0xcb05b666, 0xfeafd1a8, 0x15f7e35d, 0x6fffb987, 0xdc7564f6,
+    0x0f81fde1, 0x0e996ae2, 0x2e8dce7a, 0x3063c6f4, 0x1f30ee78, 0x2b9ac8bb, 0x96dc63a3, 0xb04a4240,
+    0xa74c54de, 0x2c771ca1, 0x29e51e7b, 0x0b0c0644, 0x978cca51, 0xe8e146ea, 0xfb759c59, 0x23d0d690,
+    0x418dbd40, 0xc94c409b, 0x5c71bdda, 0x11f7a7bc, 0x862589ee, 0x7dc24a28, 0xc32d191d, 0xa9d39061,
+    0xefdcde3e, 0x415537ea, 0xd671c21d, 0xa1a4cb28, 0x18b478b9, 0xa12885fe, 0xb1348548, 0xca441ae9,
+    0x62e2816a, 0xe8141aaf, 0x7fbd547e, 0x2dbe72ee, 0x42dfcaff, 0x4d999529, 0xe3a1a8b8, 0xade8691e,
+    0xe6fc6b9c, 0x8e701aa3, 0x83efd41d, 0x819ca004, 0x72ba7d83, 0x2a9d4bee, 0xe34a1347, 0x8aef1210,
+    0x47d04f27, 0x8b17f746, 0xf6331102, 0x43bc6e45, 0xdc738e1e, 0x1d12312c, 0x4cd64bd4, 0x674ed032,
+    0xda8ed124, 0x96563e1c, 0x013b684a, 0xea57dea8, 0x832af0fd, 0x99c4cd2f, 0x577756bb, 0xf1ff3fc9,
+    0x1efa548e, 0x6ed94cf4, 0x1f2e570d, 0x84aca714, 0x3a82a374, 0x548bc2e9, 0xdaec6e06, 0x35104cd9,
+    0x37bde6e8, 0x943cd695, 0xebab8561, 0x4cba6e61, 0x62cc2298, 0x62a344f8, 0x67da1b5f, 0xd1c8ff5f,
+    0x886dff64, 0x91767179, 0xcaf09693, 0x348958c2, 0x5e138e6e, 0x277e5c60, 0x4bb6ce92, 0xdeee9764,
+    0x33934892, 0xcc3466e1, 0xa0bd8d26, 0x30b812df, 0x6d060cbf, 0xf3904025, 0xdc4f1db2, 0x80d6c031,
+    0xf0040eb8, 0xa18bb346, 0xc95f7b9e, 0xf091d557, 0xda9914f7, 0x0b66e662, 0xc6dee8fc, 0x9b8b1fba,
+    0x56a65f91, 0xe9751b49, 0xec937535, 0xdfa12fb2, 0xe30f25a3, 0x7bf8dd67, 0x9f4c617e, 0xa5f9705f,
+    0xbb8d652b, 0x30e1d829, 0xaa4e5542, 0x9fd2b1b3, 0x166ee977, 0x4c9eb590, 0x7c5f6eaa, 0xe6aa5f5e,
+    0xe7ec7265, 0x06f3feb6, 0x8db3e189, 0xd0a448cd, 0xe72332a8, 0x54c46f4c, 0x63497269, 0x067d8c7d,
+    0xbde3149d, 0x17caf136, 0x812882b2, 0x98760bc5, 0x504da36b, 0x8b1b269f, 0xfeaace0e, 0x968caf98,
+    0xa00504cb, 0x95f887ae, 0x19273b51, 0xa5693c17, 0xe3708364, 0x9f49b349, 0x9f8ddec7, 0x36338923,
+    0xf34d6f55, 0x4f74ce4b, 0xb9f23ecc, 0x4241f3f5, 0xa6402f6f, 0x580ee0f9, 0xa9db0978, 0xff054b15,
+    0x055e8e9a, 0x31027124, 0x8acc5aa3, 0x497f7c3b, 0x4d7d0c86, 0x95127c8e, 0x3b3d4c2a, 0x72ee0c46,
+    0x4c382eea, 0xa720c792, 0x6e3a5bc4, 0xc53a08c5, 0xd3eb8b46, 0xfb99ae2d, 0x3fb2b5e5, 0x30947a98,
+    0x36aa151b, 0x6872812e, 0x9b6942a5, 0xc424c0eb, 0x4585d606, 0x66ff67ff, 0x85e84cf5, 0x30375d73,
+    0x573a46b4, 0x490c03ce, 0xa4c9d36e, 0xbe7ec062, 0x7c4a0be8, 0xd91528ed, 0x49b9f07c, 0x58dce578,
+    0x4a811bcb, 0x892c565d, 0x07faef18, 0xb4f29808, 0x48b0bb4b, 0x8c742f3f, 0x1dd79575, 0xfdd57141,
+    0x4786f228, 0x14074e07, 0xdc580d54, 0x45aac297, 0xf52e3021, 0xda36d9d7, 0xbf2ab5db, 0x556879b7,
+    0x92a78339, 0xa95fdfc5, 0xecdfc95b, 0x14d4f8cd, 0x468c30d7, 0x95406a24, 0xefda8833, 0x6fb50ccc,
+    0x7ad74dae, 0xa38a95ba, 0x4690ff86, 0xac45ffd5, 0x2882f788, 0x83fdd9f2, 0x91c52f8b, 0x4abf03be,
+    0xf8ca3405, 0xcf1137fb, 0x7969ac47, 0x7c8c823f, 0xe11adde0, 0xbbc88e52, 0xf642bbfc, 0x9090b574,
+    0x708730e9, 0x8e436a03, 0x3e2f06cb, 0x5048da5d, 0x598cd235, 0x33eb466f, 0x97d0b2a2, 0x92388862,
+    0xcb944aac, 0xe7a734fe, 0x188b438d, 0x94bafb3b, 0x74997f33, 0x19d111f5, 0x338ba100, 0xfef93596,
+    0x9d608d86, 0x5fa5d227, 0x9dde6fdf, 0xf6e1d5fb, 0x1935f4cc, 0x3507e763, 0x01c4d258, 0x63f1834c,
+    0x71d3f82c, 0x8329b0d1, 0x195e0478, 0x05045043, 0x3b98de5c, 0x5d5f78e5, 0x0cf42941, 0xe45a08a9,
+    0x25851114, 0xeb906b40, 0xcf24d8a8, 0xda7a3aee, 0x1b1af011, 0x1998b751, 0x765e95d8, 0xd7ae82d3,
+    0xc6fba097, 0xe6847069, 0x7df62423, 0xea7742bd, 0x211ac54f, 0x3652b05b, 0x6002e4a2, 0x949f2d54,
+    0xd809f131, 0x156d44f1, 0x92260ce8, 0xf998908d, 0x7402b35d, 0x0b1d39a2, 0xb99d64d9, 0x1c6a5e96,
+    0x655a7e80, 0x249f56b8, 0x3db08fb4, 0xab0de70f, 0xa8a69c18, 0x9b6d89fc, 0x59ec5258, 0xf914262f,
+    0xcb26dac5, 0xecbed68e, 0x5ba6c183, 0x5812f60e, 0xe045b6a5, 0x61082473, 0xf236365d, 0xeba77d38,
+    0x64c4601d, 0x408d805c, 0xc167b4b2, 0xd80ec0ab, 0x585aa40e, 0x0a1634c1, 0xfccb17f4, 0x0fb014d9,
+    0xaae9f488, 0xdeeb879e, 0x4c287dd1, 0xcd34a087, 0xdf8861eb, 0xbb91452e, 0xddd1cf68, 0x8765472d,
+    0x7814bcc6, 0xdba24afc, 0xf63d19f5, 0x1065e7fb, 0xe114df2d, 0x234a24f8, 0x30e547d9, 0xb531a80b,
+    0x59ac1eb8, 0x9461a851, 0x48fac7c9, 0x7dd2c78d, 0x1b082af2, 0x4339163c, 0xccca3450, 0xd2c22737,
+    0x8f403ee6, 0x5f6b1ce2, 0xe091fe39, 0x0242693b, 0x0dcc99ec, 0x3eeb8fba, 0xfa81bb0d, 0x22db6c0b,
+    0xba0992f6, 0xfdcd494b, 0xafb27f51, 0x549907f8, 0x9b123079, 0xab708ffd, 0x2bc32836, 0x79c76820,
+    0x22c577c4, 0x591a5b12, 0x354eb18f, 0xf4aff988, 0xbf2c87c9, 0x03620375, 0x33aa8dc9, 0xe42b652b,
+    0xe57e4ab7, 0xae63d3ac, 0x1b8ebb9e, 0xe5d2de86, 0xab8c0abb, 0x0e748aee, 0x3a7d7cc9, 0x561b6ac9,
+    0x4e42acd4, 0x7a74830a, 0x1b0f1f25, 0x05e2fc03, 0xb91cb171, 0x18058283, 0x238fb0ee, 0x9148d756,
+    0xbcf47921, 0x92b44f14, 0x97387a64, 0x71fc2ddb, 0x44331139, 0x9d04c582, 0xfbe6f50f, 0xac0fd6b2,
+    0x50795869, 0x663cc17b, 0x92fa4196, 0x3b79044b, 0x8e430d0d, 0x903328ec, 0xd9064bf9, 0x8d98dbb4,
+    0xe61c7c5a, 0x21a59961, 0x7dd1ac0c, 0x07d1547e, 0xc48cf6e7, 0x71c0b067, 0x9dc73dfe, 0x0b21a9c7,
+    0x8b0ae259, 0x4ab35ca1, 0x6da9d030, 0x4b3a9e82, 0x28a84ce0, 0x14ca55d9, 0xaedc2e88, 0x52052a68,
+    0x274e1111, 0x1d90ac6f, 0xf896ea49, 0x3d677e37, 0x3b11fb6e, 0xcd4b2725, 0x923a7839, 0xa059461e,
+    0xae04456b, 0x99d20d8a, 0x84cfea36, 0xbac7170d, 0x2389820e, 0xb4282b4f, 0xdee68844, 0x91491544,
+    0x53b43a5a, 0x3114269e, 0x1ba8101f, 0xb534e058, 0x1f347c70, 0x12566241, 0x410e82bc, 0x313d5aad,
+    0x254fc47a, 0x1be87adb, 0x3cc48139, 0xafba6c7e, 0xfc946a08, 0x02edc14d, 0xe8f7f21b, 0xff0fdbf5,
+    0x49e57aa9, 0xdaf6ac1f, 0x4f4ee4bd, 0x03dbf1c4, 0xfb3751cf, 0x3fa8edd9, 0x63ea870a, 0xa8152f23,
+    0xc1efda94, 0x513fa6bd, 0x02e0880e, 0x30e9907e, 0x0638473a, 0xc21e36e3, 0xf6aac9a8, 0xbbba31ab,
+    0x0cd5bc70, 0x4b87a92a, 0xebe8ac8e, 0x2f4cdb2c, 0x32185841, 0x82085dcf, 0x2fed8f96, 0x5fa7ca9d,
+    0x5def8287, 0x2f6abf75, 0xb0ef254a, 0x26daa7e7, 0x34e06d0b, 0xbc10c0ca, 0x49e4ccaf, 0xd6ed1310,
+    0x68932f97, 0xa8f3995a, 0x4e7979b7, 0xbfcd3c51, 0x10a001dc, 0x8d4362cb, 0xcfdc2d86, 0xa1e013a0,
+    0x3a24dda7, 0xcfad6e58, 0xec2c2899, 0xb1647219, 0xc46d8780, 0x4c205e5d, 0x34ac23e3, 0xa4be02c0,
+    0x6e14344e, 0xdfe69239, 0xf6abda03, 0x66fa53df, 0x47372b0b, 0xb80dbdd2, 0x6aced88c, 0x203cb178,
+    0x2672c3d7, 0x37adad51, 0x32caf108, 0x91108655, 0xc2731532, 0x5f1f014b, 0x4a20bf85, 0x0407b29e,
+    0x750a6a5d, 0x013475c7, 0x08475ee8, 0x297f0b0e, 0xce6e8787, 0x98c45593, 0xeba7f7e7, 0x8909e696,
+    0xf1b162e0, 0xe60a363e, 0x911a062e, 0xfba65c97, 0xde4f40d9, 0x88e92dfd, 0x2aa94f3a, 0xa662e217,
+    0xf7b75566, 0xfdb9215f, 0x2cec06c8, 0x0a9e0064, 0x6d3bafd0, 0x017e0b25, 0xbb5ed65b, 0x176562a3,
+    0x401ab7e7, 0x298045da, 0x52f4b197, 0x1569e1da, 0x277d37fd, 0xf9849042, 0x1c6d2271, 0x197ca6c6,
+    0x943650ca, 0xf6a180cd, 0x1b6678f2, 0xb3341d33, 0x04f54922, 0x9781f623, 0xa95b2d34, 0x777a47aa,
+    0x07d78588, 0x4ed6a05c, 0x1942de20, 0xdb41385a, 0xe780dc84, 0xdb203b44, 0x505a2cde, 0xcf38b185,
+    0x722433bf, 0x9ddf6cad, 0x359cf8e3, 0x03d03bdc, 0x0749440a, 0x4d91d8a0, 0xd5d289fa, 0x035e3629,
+    0xbc49ec69, 0x54c1c61f, 0x1a3ddd65, 0x5ba6761d, 0x24268e3a, 0x86ec652f, 0xab72b439, 0x2799eb27,
+    0x61170997, 0x1c42b3a1, 0x3002c1d2, 0xb82897fc, 0x35a93b87, 0xa72ec5f6, 0xae951b0e, 0xda72e1ba,
+    0x1650d5e8, 0xd8f95791, 0xe514edd2, 0xb2114c20, 0x8f918f29, 0xfc60e741, 0xe0e5a692, 0xcbf5006c,
+    0x779d1db7, 0xf48fa250, 0xf5fe83b5, 0x369484ad, 0x4c2e09f6, 0x3dde9d2a, 0x125c5a30, 0xf66eed4a,
+    0x38f259ae, 0xec3ba342, 0xa9aa54d6, 0xe8880f4f, 0xbdc59251, 0xe49cd967, 0x528399dd, 0x5fcf6664,
+    0xfc9b9668, 0x39df564b, 0xf23cee34, 0xfb7cb055, 0x70ea32a4, 0x192bc6be, 0x2cf8d5b1, 0xe6d5c6d4,
+    0xd54b1d91, 0xa246ca30, 0xb3e68c31, 0xd1f5589b, 0x01017cb3, 0x0131e1ae, 0x279c7d44, 0xa06b3e7e,
+    0xaa8b8776, 0x55512b2f, 0xc89745b3, 0xd858cbe0, 0xae760ce3, 0x5d2415af, 0xe0888852, 0xfe20e518,
+    0x2183cf88, 0x3c890b5f, 0x5028aa49, 0x54671fcd, 0x2fee00d5, 0xf8483045, 0x212d7cd3, 0x6eed7783,
+    0x2a2ee346, 0x262b8332, 0x1aa11ad5, 0x61281cec, 0x496ca87a, 0x2a837ce7, 0x0b980a68, 0x90c1f5ca,
+    0x4cb11d0e, 0x3280934e, 0xb036ede3, 0x2b328739, 0xb3b89fc6, 0xf6a290f2, 0xb9b809f1, 0x8cce9ff1,
+    0x2190c03e, 0x20331847, 0x39dfa99b, 0x702d9036, 0x28992c06, 0x992614d8, 0x5a4e3318, 0xd557d7fe,
+    0x01c89400, 0x883bb9a2, 0x7244cc14, 0xe82a7c93, 0x96812a53, 0x181b2d4a, 0x6cddb7ca, 0xad91c382,
+    0xad4b5f78, 0x6695074f, 0x131f1a5d, 0xabd76dbb, 0x3ec90797, 0x9f7b4a02, 0x1f1e7eef, 0xe031b476,
+    0xee48b821, 0x35a9e334, 0x8f84aa66, 0x1c2546a1, 0xcb96af25, 0x7b63fed9, 0x0a092c59, 0xf068d73d,
+    0x05bf09ce, 0x8973b29f, 0x6a2c69cb, 0x5007d8e7, 0x33bdf847, 0xa72d862d, 0x51722cc9, 0xd04bb784,
+    0x185f5baf, 0x85aba02e, 0x70067d40, 0xee97076f, 0x15ccdb52, 0x8edc0a6c, 0x2b34555f, 0x50889228,
+    0xc474addc, 0xd5a7564a, 0x2b95a6d1, 0x05dc6a4e, 0x2b104712, 0x9eaf05ed, 0x93133586, 0xd41b9690,
+    0x00f97314, 0x065c36b8, 0xfd89df5b, 0x6694868a, 0x832f2379, 0x3d67a221, 0x8ef8e21a, 0x397db7c4,
+    0xa8ca51fa, 0x37be71bf, 0xfc132387, 0x2a86e34c, 0xec8d5a02, 0x9fb5ba77, 0xe3abb005, 0xf7cb1d54,
+    0x0531c1f3, 0x4910f8ef, 0x6a09df52, 0xd3ca0f0f, 0xf22aa3df, 0x6b046287, 0xf53005c9, 0xa1356069,
+    0x6c263bdf, 0xadf469ab, 0x2f64ebe8, 0x4b5d128f, 0xf25a6664, 0xe264001a, 0xb7181886, 0x62a73563,
+    0xa1bf1104, 0x9b0d1a08, 0xc9a331f3, 0x119c470b, 0xbc93aecd, 0xc8aaccdc, 0xdd1c954d, 0x9e42d125,
+    0x0d7fa042, 0xfdcf8f17, 0x89b73f5e, 0xf5b7e4da, 0x112a12b0, 0xc92672eb, 0x441d94a3, 0x73206020,
+    0x7f899b46, 0x0164da95, 0xe71b21bb, 0xc59df2bd, 0x0a2f04df, 0x76d82666, 0x94c901c1, 0x8dab0c12,
+    0x34eaae0a, 0xf99e4872, 0x70e385e4, 0xf926ddf0, 0xec2a83ca, 0xc45f4e12, 0x246d52b6, 0xf3fe53a9,
+    0x04fd52a8, 0x1d257806, 0x38e8d2a0, 0x0df323a1, 0xe48b09df, 0x4b1a7ef5, 0x51e4886e, 0x6a664f31,
+    0xd6ddd4c2, 0xf51dccdc, 0x1322763c, 0x658d7195, 0x1b90abc4, 0x7de07d34, 0xaf951cf0, 0x39d57372,
+    0xa6008936, 0xc81dc523, 0x5032eee0, 0x0a394b1e, 0xa86c9838, 0x40460a52, 0xdf1b3507, 0x755f7dc2,
+    0xd9116801, 0x11b7b0e3, 0xa922f61b, 0x00f5b1fc, 0x8b18d46e, 0xaf040f72, 0xe101455a, 0x4a7cdb80,
+    0x8eee4831, 0xbb3e7884, 0x3a39eb5d, 0xb824d9df, 0x1954746b, 0x37b172bd, 0x3a327b54, 0xbcfa6d37,
+    0x6323440d, 0x796c72b4, 0x91bd0817, 0xcbcf4cb8, 0x596d0359, 0xec9c128b, 0xd33c0002, 0x3127320b,
+    0xdb9388da, 0x3d558f4a, 0x4efcf2a6, 0xb905dc6f, 0xc09b4bf0, 0x506dd18b, 0x58d99b8f, 0xb3ff40df,
+    0x897ccebc, 0xf541c32e, 0x142498fe, 0xd63c135c, 0x04d5cc16, 0x5265953b, 0xbc07c68a, 0x766c5959,
+    0x2d5383f0, 0xd21eec6c, 0x046e4ce2, 0x8a2939be, 0x7e581756, 0x66abf8f8, 0xe663ff0d, 0xdc293215,
+    0x00000000,
+    0x2693aa00, 0xb25024b3, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000365375409332725729550921208179070754913983135744 */
+  { 0x00000000,
+    0x779a474c, 0xcd0d68e0, 0xa1852afd, 0x8279ae95, 0x5a9c38c9, 0xbfcf3c63, 0x99d73b69, 0x3f2dd4f7,
+    0x7e76e862, 0x7c3361c7, 0x68374f74, 0x64d206aa, 0x9614a451, 0xf8c470f3, 0x7607814f, 0x4bd97bb0,
+    0xade9d99e, 0xdfae33a1, 0x342cce67, 0x0be7c9bd, 0x9a2c8d92, 0xb3f6f945, 0x52cb0532, 0xfea76abe,
+    0x650ae7ea, 0x6ce354dd, 0x9972d581, 0x42b0f167, 0x36776acf, 0x24bf9362, 0xb619f4d2, 0x108b48a9,
+    0x74f7d789, 0x1a9548d1, 0x8c4c164d, 0x5d0558ed, 0x5f317410, 0x6a5a5f2e, 0x0ff52812, 0xcd155e6e,
+    0xa2190823, 0xccce22f3, 0x957d1cc1, 0x7375649d, 0x137c94c4, 0xd942b456, 0x48e820aa, 0xd446822b,
+    0x3672e630, 0x196ff3ca, 0x5087cbc2, 0x8aeff981, 0xb3d49dbe, 0x15cce865, 0xe5b8687c, 0x1a1e0b3d,
+    0xc2840c4c, 0x376983bb, 0xc54badcb, 0x5f405ea1, 0x47395ea0, 0xe18bf8f5, 0x435a0ade, 0x314dcaf6,
+    0x90a44351, 0xa034888e, 0xf5ceeb05, 0xd92abd94, 0x60e9b1d8, 0xb8e0260d, 0x7e178b52, 0xb6807f96,
+    0x332be041, 0x069df16c, 0x44540ef7, 0xd15948d4, 0x21b2f191, 0x72933d29, 0x182f9802, 0xa16bbcef,
+    0x2eec5fa7, 0x95c7bde5, 0x346b6251, 0x3d5c6d3c, 0x10299b70, 0xbf0d2824, 0x16e7d78a, 0x04ede0f6,
+    0x324b5b76, 0x42725840, 0x4d2313ef, 0xef3e2e86, 0x657a06d6, 0x706cb83c, 0x7af57313, 0xdaad6b64,
+    0x8d54c8d6, 0x6a6f6431, 0xd77aa06d, 0x7344ff34, 0x4b3c2144, 0x4cfe1a7a, 0x9abd9767, 0x98fafc82,
+    0x5a9c37f5, 0x61f38550, 0x954f10a9, 0xa564ca0a, 0x977c6b3e, 0x01fdd575, 0xe94d913f, 0xd9c36270,
+    0xe771b3d7, 0xeaf3398d, 0x9fd04489, 0x46c439c1, 0x503dcef6, 0x93769aff, 0x66dc0396, 0x39f66307,
+    0x02d69694, 0x5df717a8, 0x5e6b329e, 0x03f9f07f, 0xb0fb01a8, 0xc7759bdd, 0x8e874433, 0xaa6eba08,
+    0xa5bf0449, 0xd666b69a, 0xdb7628a8, 0x12252c20, 0xdfc8bdbd, 0x09c5f2ab, 0x45c3e117, 0xd49f0659,
+    0x2c68d12f, 0xd391b1b6, 0x11b599bb, 0x1368c9c1, 0xa0808cc8, 0x80ba4d97, 0xc338a95a, 0x5911f1bf,
+    0x6f277ce7, 0x03996cec, 0x649f5b78, 0x90ff3b35, 0x1fc42bbc, 0xeade582a, 0x5a88f134, 0x1bcd6cab,
+    0xf4028a7d, 0x6aa50a66, 0x0c0ab69d, 0xbe81557b, 0x74d6d62d, 0x9eb8695d, 0xa62ddd65, 0x9a32516e,
+    0xa006e11a, 0xbdab3964, 0x7bf31668, 0xea4af6ab, 0x89d986d9, 0xc59850b5, 0x803a2ab3, 0x591bf12d,
+    0x06240f4d, 0x16b1a81d, 0x3b3f37d8, 0xdda6f099, 0x46805cbc, 0x287e76f3, 0xbd085c04, 0x6e2a39c2,
+    0xd46a4cf4, 0xe17fcb61, 0x236e5d4c, 0xc57230a4, 0x5a594c6f, 0x4b7be5d6, 0x43239282, 0x725933f9,
+    0x6ac4255d, 0x8031431d, 0x7d1eb437, 0xfd32d003, 0x6b100d85, 0x435548fa, 0x0d24e8ba, 0x3ffc199d,
+    0x123cbde7, 0x0e4797b6, 0xf513e796, 0x525a9505, 0xe1ba43e8, 0xa422966c, 0xfee3aa50, 0xb26bf28a,
+    0x09d1a0d2, 0xdd22b119, 0x2e285f83, 0x265ba8f7, 0x3a15d4c2, 0x54344efa, 0xa214b773, 0x89090129,
+    0x47555063, 0x1ff3f293, 0x3af55107, 0x0e930da7, 0xdcacfe5d, 0x36119aee, 0xda8f2211, 0xc514bd98,
+    0xc5e8343d, 0xb88e9c70, 0x116999ca, 0x0a9087ff, 0x7cb22ad6, 0xa126f1ad, 0x82b2fc1c, 0x6da61c68,
+    0x53393f69, 0x9bb90623, 0x319bb645, 0x1e7cef79, 0x2ec2ebed, 0x2ed645d3, 0x958e5471, 0xcc856d4e,
+    0xe49c907c, 0xfb04d59b, 0x81c68084, 0x7368dd56, 0x57aaa954, 0x77415be7, 0x3ba78833, 0xa1b17530,
+    0xef623e5c, 0x4d42ddce, 0xceba1423, 0x08623bd4, 0x1884007f, 0x9742887b, 0xc15b619c, 0x52394084,
+    0xdaffdf01, 0x617e2c6b, 0x2c3be6ad, 0xf2546152, 0xbad68edb, 0xf3d1f3b0, 0xbe11c2f8, 0x8c68ab6a,
+    0x98715796, 0xff6eee2f, 0xb6ecc7ba, 0x24c2c87a, 0x2d8e8b9f, 0x00a9533f, 0x244d635e, 0xd1bebad6,
+    0x6fce3430, 0x7a157764, 0x279143f9, 0xb4aaf5d8, 0x538fb4cf, 0x31bb23ed, 0xe7c677d5, 0x06a8eb06,
+    0x9da07b59, 0xcaad59ca, 0xc85866f7, 0xb3c7a7aa, 0xb6c1eb0c, 0xcf055170, 0x39d67be2, 0x1cc8c848,
+    0x2c125e04, 0x6dc9b8c3, 0x3a8cc6e0, 0xf78db601, 0xa9a3a46d, 0x9f8d92d9, 0x158d7646, 0xde8c058e,
+    0xaa42056a, 0x588e0b83, 0x88685e82, 0x510b1b00, 0x6caf87f7, 0xb4f8a193, 0x601b6016, 0x9d32aedd,
+    0x51897164, 0x2d750478, 0x6de19e49, 0x1876a4bf, 0x685066fb, 0x48e2af2b, 0xe173d261, 0x8bf000e4,
+    0x5ea6bbfc, 0x57b6de25, 0xf5cf07f4, 0xf7457a7d, 0xe622e481, 0x85e37af8, 0x387d98a9, 0x9112fcd6,
+    0xb3a989c1, 0x016ac9fc, 0x79203db9, 0x8278d025, 0x114d50c5, 0xa5ea74b9, 0xcffe655d, 0x3514fbae,
+    0x76136326, 0xcd61a730, 0x628a5169, 0x12e1879f, 0xd88fb5bf, 0x5f4ed440, 0xcd94f0c1, 0x2cee6443,
+    0x435017de, 0x2ae70e56, 0x1324d14d, 0xe703cff0, 0x0577f75b, 0x4913d6c3, 0x914c5e02, 0x303564c8,
+    0x33fb296c, 0x66ab32f8, 0x4b25cf73, 0x14d7e7f9, 0x4f7cadce, 0x2f8a70a4, 0x7fbdbe85, 0x45459af7,
+    0xb49f7311, 0x3620d3de, 0x25c30262, 0x48552516, 0x83da57e8, 0x549e0bd0, 0x5a0bbf81, 0x1e919d82,
+    0x4c24cae4, 0x46420d39, 0x1db30e93, 0xb534e033, 0xdb19f7fd, 0x05ca1755, 0xc50a0e40, 0x8449c774,
+    0x1fbba9ec, 0x79294e5f, 0xf64bfee6, 0x24a67844, 0xa159873e, 0x792c43b4, 0x0227adc2, 0x8f1357a5,
+    0xf8799e75, 0x09e63bc2, 0xd1b89e47, 0x55c966c9, 0xe564de39, 0xda5415d7, 0x51d8bd92, 0xe83cc4db,
+    0x9785f8f2, 0x3defc5f0, 0xd2d93aac, 0x4c64495b, 0x5759ffcd, 0x9420a79e, 0xea990304, 0xd006141f,
+    0x773acd65, 0xf576852f, 0xe06425da, 0x8a3a3cc6, 0x64493908, 0xfccd7a32, 0x574a395b, 0x09ca7a7c,
+    0xbea4c712, 0x6b6ebe6c, 0xd760af00, 0xbc0db7a5, 0x2f606cda, 0x79843e33, 0x6171a5e9, 0xf5cf3505,
+    0x9614aaff, 0x0b2858f2, 0xbc06c8a5, 0x26751082, 0xf9bc5379, 0x46702ba7, 0x4a28694f, 0x9a7f4156,
+    0x13a1dc31, 0xf2c8c5d2, 0x419b6669, 0x64c78721, 0xfc81940a, 0x6e8ef9fe, 0x90451a6f, 0x958a324e,
+    0x9184e08c, 0xdd42d02b, 0x00b3b93d, 0xc0c1fd23, 0xf94130d7, 0x56f5c6c2, 0xa7d89a2d, 0x7c6607f3,
+    0x8eb53b63, 0xc7626dfa, 0xb7b8b700, 0x87e0f2da, 0x1dc42e15, 0xe05bb20e, 0x3724088f, 0xb1e53060,
+    0x0a67a351, 0x93c3a3ae, 0x66014199, 0x435ebfb5, 0xed4700e8, 0x7871910b, 0x47347a23, 0xfe8cb015,
+    0x2ffe76eb, 0xce86e1ce, 0xb5945634, 0xf176a17d, 0x87c5a8bb, 0xcf943692, 0x4624a771, 0xf22b6402,
+    0xf3d53fc5, 0x30ec1166, 0xb5c0780b, 0x75fd5d69, 0x513eb855, 0xe7ad1d79, 0x38c408d0, 0x268935d7,
+    0x1043a03a, 0x8836259a, 0x80fca6f5, 0xd0c8292a, 0x70dd015a, 0xa2f28df0, 0x3e498053, 0x486ade9a,
+    0x9f0f2bf1, 0xdde68d47, 0x11069b6e, 0xa8583174, 0x6883f73e, 0x37f0392b, 0x2152034e, 0xf8485e7d,
+    0x13a224ce, 0x38ba0a32, 0x2aa10537, 0xea8b5ca9, 0x66198e5e, 0xde5b8b7e, 0x499164d8, 0xa8740ed7,
+    0xa9e9c9be, 0x8070ac24, 0xd9228c5a, 0x0371627d, 0x839e508d, 0xb0f0dc36, 0xb9337326, 0x9655e016,
+    0xd6471216, 0xb5f92614, 0x7e65ac61, 0x494d55ea, 0x77591336, 0xbee0f8b4, 0xdac7f211, 0x59117493,
+    0x9f7cd953, 0x409dcb1c, 0x3e5f2694, 0x4c91d7ef, 0xc4c4e7f8, 0x0dbbb786, 0x5094e002, 0x44ab5673,
+    0x75b45ae6, 0xfdecf630, 0xea9536b8, 0xf8dc6440, 0xc31b8899, 0xb69e72e2, 0x88728833, 0x3a1fe079,
+    0xff4048e7, 0x204b98bc, 0xc2f4f15c, 0xb5ed161d, 0xfe62996e, 0x4744d151, 0x58994b81, 0x4875ac7b,
+    0x30785f22, 0x7566920e, 0x8e3a4f29, 0x511785e2, 0x976dec33, 0x16a1e271, 0x470d7651, 0xebe5e645,
+    0x3d100158, 0x6c5f6359, 0xe6656004, 0x44b74790, 0x470e0b3a, 0xa4a25977, 0xd6c286e7, 0x1a6c0f3c,
+    0x3a2e0509, 0xbac1d5ec, 0xc6672a6f, 0x8d2ec544, 0x8a088ad0, 0x79d21586, 0x1e6e0760, 0x661dac08,
+    0x96420a89, 0xfffadde7, 0xd9ba3411, 0x79a0e248, 0xc0b05e64, 0xaf472b8a, 0x60316488, 0x11fb5c3e,
+    0xf0da2f9a, 0x6e1304c0, 0x9e6f1828, 0xff07ea01, 0x81034c33, 0xc3094f2f, 0x76b1ef36, 0xb424ef69,
+    0xdf7c420a, 0xb8f7a12c, 0xef358fc4, 0x51f81142, 0x52880de5, 0xfe93fe90, 0xd0b3d5d3, 0xf1ac3840,
+    0xf3384565, 0x731ae352, 0x9cd355f7, 0xaae81864, 0xbdeb05fd, 0xc6167691, 0x6be49a8c, 0x1f7f5c23,
+    0xcc3b5792, 0xdec07ae7, 0x09ee0735, 0x8b4b1674, 0x20c8d76e, 0x84937f0f, 0x43eb34d7, 0x525ae2f9,
+    0xa6239823, 0xa10d7dd0, 0x0a8e382b, 0xfeb18009, 0x23e1b9b3, 0xbe49a117, 0x2a7558e3, 0x304e1f14,
+    0xad63fffc, 0xcdf56306, 0xd503c98d, 0x7d936a7c, 0x48acd1c5, 0x293383b1, 0x070e9865, 0x2c9ece46,
+    0x9a0c6b3d, 0xfed31803, 0xc029b45b, 0x3e01cbf7, 0x2a48ff67, 0xf5ccc096, 0x348691f9, 0x20586235,
+    0xed0b21ce, 0x2390b41e, 0x390cf776, 0x22c6defe, 0x5fbcea14, 0x8718999b, 0x40be2365, 0x867b21fa,
+    0xfda94a6b, 0x90688887, 0x31c7cf49, 0x698187d2, 0x242cd420, 0xde6d3111, 0x5577f119, 0x5aef216b,
+    0x35b01557, 0x82bb64d7, 0x27e004ce, 0xce453976, 0xdeecd15b, 0x61dad411, 0xf8e43756, 0x2a21d4ff,
+    0x954d1c25, 0xa9b0d59f, 0x93973324, 0xb0092ca1, 0x2b951747, 0xeef99420, 0x931c1a8f, 0x2c297867,
+    0xdb7fcac7, 0x634232b1, 0xe13f3943, 0x805bc571, 0x41b7b67f, 0x918d7a2a, 0xd373f696, 0x07474b0d,
+    0x5f65a78a, 0xe3cbbdd2, 0xfd9ee3c3, 0x408aaf97, 0xda7a3b4b, 0x6cb953f1, 0x9aa42273, 0xc5a17486,
+    0x96210a5e, 0xc1b18c83, 0xf2198e57, 0x12b2c824, 0xb23f20b4, 0x1e6040cd, 0x1aa6dbb1, 0x34e865df,
+    0x21140df1, 0x5d138940, 0x5613c8a1, 0x784bbd55, 0xd587ac7d, 0xcefadc6c, 0x1684d639, 0x27df1bb4,
+    0x4008d095, 0xfc5541cb, 0xd5f341f6, 0xe00d249e, 0x48209985, 0x68f0c68a, 0xe90f9ecd, 0xaca628ce,
+    0x2915ea00, 0xb0654809, 0x0dec5d6d, 0xedc562c2, 0x66ee618d, 0xa1ccf58a, 0x13b091ab, 0xe0a42f10,
+    0xe245abfe, 0x92132a86, 0x8ef737cf, 0xdb718220, 0xf6cd2828, 0x71074a4b, 0x8855f01a, 0x0f8c4a3f,
+    0x6d240de2, 0x278c326f, 0x7f76348e, 0x80f05c4c, 0xe373e882, 0x91562334, 0xfadb0cfd, 0x2a70b811,
+    0xd18534a8, 0x17857811, 0x05fd1373, 0x2cf22f82, 0xd9568eaa, 0x3cd8f26b, 0x5534364d, 0xa992ca77,
+    0x25b7f726, 0x1b183b95, 0xb39d4f51, 0xeb938de1, 0xfb498c18, 0x847c5866, 0xf65c8a3b, 0x978569a2,
+    0x416db02b, 0xe425a025, 0x673aa324, 0xacf4f05a, 0x5c966d02, 0x8fa7c9c3, 0xd62f8a87, 0x5256e778,
+    0x12a9dfd8, 0x19e12f62, 0xcea34adb, 0x55c25624, 0xd13c085e, 0x10bcb0fc, 0xa98560e5, 0x0cd45036,
+    0x81ce91e4, 0x6e409492, 0x6bb3664f, 0xe3617339, 0x4ca6b142, 0xd5acafb6, 0x9eaba562, 0x9686881c,
+    0x442c989d, 0xfdd08b19, 0x7bed4472, 0x652ccdd9, 0x8049eacb, 0xa16c1237, 0x1c247bf7, 0xe3aaa4cb,
+    0x55f12c44, 0xa9abde1b, 0x6a021d86, 0x384634f7, 0x10fcaff8, 0xc0f8ad48, 0x734339f2, 0x1cdf2763,
+    0xae3cf002, 0x991d604f, 0x678a5ab4, 0xbc4c4324, 0xb301e317, 0x873ba986, 0x36df78d1, 0x8fcbf9a8,
+    0x23e1cb62, 0xc66bfcd2, 0xc605fffb, 0xc1cfd3eb, 0x141827e6, 0x89aa4fd9, 0x95351c5c, 0x75a62fd8,
+    0xd1bf7339, 0x538b3c8d, 0x6d693860, 0x6638b14c, 0x25a61dbc, 0x015a7717, 0x5e293be0, 0xfc7cd094,
+    0x8157b7f8, 0x2616d827, 0x893184e5, 0x8e42e6c2, 0xd708be1d, 0x32f69172, 0xa68258ab, 0xf67cc0eb,
+    0xeea541a2, 0x5659c4c2, 0x32874daa, 0x6f3d2b92, 0xbe12fc1f, 0xbf1a83b6, 0x90f99079, 0xd9ec1001,
+    0xd3e69dfd, 0x78129119, 0x5689bc7d, 0x09c4441a, 0xdb387858, 0x21300935, 0xc2d83571, 0x1d088e4e,
+    0x1c7bf9a5, 0x65e25d17, 0x66ce6a30, 0xc65b45e5, 0x2934fed0, 0x9666de6f, 0xe44b9ba4, 0x64dcb089,
+    0xf03225b2, 0xe7b18b06, 0x6c1537a2, 0x011b84c0, 0x0b1b4855, 0x101389ae, 0xb2bb827b, 0x22fe0bf5,
+    0xc1ed5b09, 0xc9b558cd, 0x39631331, 0xf5b8ea39, 0x45871f1c, 0x60804250, 0x7bcb572b, 0x3ab97e15,
+    0x7a67003d, 0x9183c4cc, 0xef33e829, 0x6ed592ef, 0x7bfb76cf, 0xaf847a24, 0xfe039894, 0xf6ab4cd5,
+    0x2dfd636f, 0x637f603f, 0x4623482c, 0x4e8c280c, 0x33fe94c6, 0x13b5de7e, 0x60f0ec51, 0x0a7e4558,
+    0x8f679e3a, 0x2cebc9b7, 0xc51575b0, 0x72600192, 0xbd70008d, 0x1b1de418, 0x70c47873, 0xefd7f6d0,
+    0xc595ddf2, 0xfcd5d227, 0x8db594ca, 0xbb7d7575, 0xbd9719d5, 0x592806bf, 0x619aff67, 0x1adff1e5,
+    0x4c47bcd9, 0xda663ed1, 0x40a1ad69, 0x2b7296be, 0x435e34a0, 0xff6143d0, 0xe35ddeb5, 0x191c83c3,
+    0xb23d2aca, 0x2565fd2e, 0x76be2978, 0x7f09277d, 0xfc0cd9ea, 0xa4418248, 0x1a49fab6, 0xf6d4bc1c,
+    0x6d38fb7d, 0x22113000, 0xaf0bfafa, 0xf98979de, 0x3050cc95, 0xc0626c78, 0x56cbac82, 0xfffbc5d3,
+    0x9ec11056, 0xe32247df, 0x8157e82f, 0x484da91e, 0xf9223b9b, 0xab588bc6, 0x1af04ea7, 0xc5593cf9,
+    0x5137bfd6, 0xe7628d9c, 0xfceff852, 0xe56accaa, 0xb9f5c6ad, 0x0dba2027, 0x39b75d30, 0xb666b5d2,
+    0x8ae1cc9a, 0x0a87ea9e, 0xc8e7e750, 0x453fb900, 0x32d71e88, 0xf6a1ea31, 0x96b08e9a, 0x1fc0f444,
+    0xd2e57bbb, 0x89431f11, 0x996c5bfb, 0xf1cd9a63, 0x80efe54c, 0x825ce5f5, 0x852526bb, 0x7e29cbd7,
+    0x47fda24c, 0xa365e405, 0x88286e46, 0xf7674231, 0x8790e85a, 0xfdfc8481, 0x87ef5a76, 0xb6af42b9,
+    0x2dc6a100, 0x0a419012, 0xdc65c1a8, 0xbcb1438c, 0xbca00bc9, 0x73f72b16, 0x6d7450ad, 0x196c2f8d,
+    0xa84c3a3a, 0x32fc1db8, 0x3dcfd1e2, 0x107adddb, 0x3bc96016, 0x4d079537, 0xc0ce7037, 0x66db5858,
+    0x122c1359, 0x263327f9, 0x00216261, 0xb55186a5, 0x11556474, 0x8f20c42f, 0x86e53805, 0x9a434602,
+    0x379d7190, 0x8ba04ed4, 0x57e11031, 0x45a7527d, 0x79f174cc, 0x4d0c9445, 0x6adaa108, 0xf0bd8580,
+    0x4501248b, 0xe5fb66cc, 0xb87a81cf, 0x68f27248, 0x10adadb4, 0x8e24f051, 0x6a715467, 0x162a995f,
+    0x025b2a4f, 0x789c3e9f, 0x8afbbaad, 0x99fba9be, 0xb548f9b0, 0x9eb13d5c, 0x41deb853, 0x65a89260,
+    0x3876a682, 0x7a4b23ca, 0x0a098138, 0x647c4d0d, 0xf245c694, 0x0039c855, 0x961bbe05, 0x0dd06ad9,
+    0xe665d3f1, 0xa5ecb7f3, 0x35fe1941, 0xbe484d76, 0xe05ca49f, 0x915cf5ef, 0x3f622a42, 0x90d539af,
+    0x0d264cf1, 0x9636a1a4, 0x440631c1, 0x22beae27, 0xe9e14fb9, 0x2e36d044, 0xd5ed5e7a, 0x4a85bb91,
+    0x4d37451e, 0x701cfbf8, 0xae06d396, 0xdd4b52cf, 0xbbd8205a, 0x9af2e04c, 0xdb0c0d0e, 0xed67b695,
+    0x00000000,
+    0x9349d4ff, 0x59281259, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000182687704666362864775460604089535377456991567872 */
+  { 0x00000000,
+    0xb3c8a823, 0x1b061f76, 0x73997c14, 0x6dfd43c5, 0x1f904083, 0x4c631db2, 0xdc90f853, 0xd6bd5087,
+    0x879c97bb, 0xc1ed3227, 0xaa4b22d7, 0xa3dbf94e, 0x8e474637, 0x93a8971b, 0x5cd122eb, 0x9bb0f99e,
+    0x58a06bbc, 0x588a549c, 0xa07cc358, 0x12865522, 0x5acc971c, 0x8c49e708, 0x45f5e5d2, 0xdb8a3654,
+    0x035ba124, 0x5df88131, 0x9e4d519a, 0xff8c939f, 0xbcb5b3be, 0xd4748794, 0x2d8f1f98, 0x8a8f7e17,
+    0xac3db855, 0x64530550, 0xdc99b8a0, 0xcb9fd26a, 0x6c894be6, 0x6dc81cfb, 0x87e1f0a2, 0xeda97352,
+    0x4c1b626d, 0x64647367, 0xd60b1fe7, 0x9288dee4, 0xfad94ac7, 0x1d921741, 0x9d2c6b7e, 0xd30a834c,
+    0xaeb6ac3a, 0xc96e4e8a, 0x21ae3f27, 0x217a2f19, 0x2a3b14b2, 0xa43f6ea0, 0x4dbed832, 0x7f4da431,
+    0x77fb5d34, 0x8ae93916, 0x0f7f8cb5, 0x98ae88f8, 0x246f9772, 0xe1d6e221, 0xef76f43c, 0x0a63aaa4,
+    0xb714c1a7, 0x8b63da6c, 0xdeab05eb, 0xc6337a2e, 0x49b4fb19, 0x3b56d2ad, 0x2e47bef2, 0x5dbc0dcc,
+    0xc92e4dc4, 0x422d3245, 0x2f18ee1c, 0x67a080da, 0x45249346, 0x7482898f, 0x2e283aa7, 0x80f0edd4,
+    0x061c5d56, 0xed7cc745, 0xebe02f0b, 0x3a40aa9c, 0xf3d8cd12, 0x9d91aa5f, 0xffc0143a, 0x505f7907,
+    0xeca041e9, 0x169118d1, 0x501a2654, 0x8836c9db, 0x7d16eb9c, 0x8f42c540, 0xdb01dc49, 0xb8eb836e,
+    0xb1dfb156, 0x59abad3d, 0x9924b639, 0x5932a800, 0x6e778988, 0xa4f9dcfa, 0x6f2e6ea0, 0x841d87df,
+    0x80b7f486, 0x252b2a21, 0xc9946d78, 0xc4e9b2b8, 0x6ac4825a, 0x6faf346a, 0x30ead143, 0x077345d3,
+    0x78198815, 0x8b29f91f, 0x479d0b36, 0x35f10f6c, 0x3aac5efa, 0x04727d8a, 0xd30bedf5, 0x924c31ee,
+    0x359f805c, 0x98b5aaa8, 0xa11d46e6, 0x427f4922, 0x30efe929, 0x9f10b420, 0xb133aaff, 0x9798e59a,
+    0xc706a387, 0xc4c741e6, 0x0df02015, 0x6fc6e94d, 0x942e72df, 0x844ba94f, 0x15a860e5, 0xcce1764c,
+    0xab39270a, 0x135c44bf, 0xa86b320a, 0xe40332e5, 0x21e039e5, 0xfdad89d0, 0x8daef0cc, 0x323b080e,
+    0x2e83d4be, 0x7b494c90, 0x05dbca5e, 0x9b6e9284, 0xfe69b23a, 0xc942addb, 0x1e14d32f, 0x5bb7d4e3,
+    0xe1dccd6b, 0x02de64a2, 0x04407c7b, 0x41ac8682, 0x4c2d0b11, 0x84967441, 0x28743a20, 0xd0b20caf,
+    0x6b0ce13a, 0x40954c8e, 0x57faf76f, 0x092b525b, 0x5bb6d9aa, 0x84a9feab, 0xac814f8e, 0x420058e1,
+    0x3604689f, 0xffee1928, 0xcf931986, 0x117b197b, 0x23bf772c, 0xfd007bca, 0xaa2ce422, 0x6b03f0ed,
+    0xb83e3006, 0x0c4740c5, 0xd7872584, 0xb3d37860, 0x39dc978a, 0x8c529082, 0x56c14d6b, 0xbb5307e9,
+    0xd7fbd511, 0xec084104, 0xdc9dc4a1, 0x8e621199, 0xd1ab600d, 0xfe196d86, 0xbf634d4a, 0x06255071,
+    0x1e82e7d4, 0xe0bb6981, 0x58acd3d9, 0x084bf671, 0x025bfb90, 0xe5821346, 0x8fccec9e, 0xe67f488c,
+    0x19ab45dd, 0xcb432949, 0xb19c00cc, 0x36b08c7b, 0x4b89125d, 0x12a11a8b, 0x57cb5e8a, 0x42dbf2d6,
+    0xabdd7eaa, 0x4eb8bc51, 0xcb53a64e, 0xc84db71a, 0x339919df, 0x3b5827d0, 0xdadacbe7, 0x319d800c,
+    0xfe9cfa80, 0x63df5878, 0x650dbfb2, 0x21c19cb0, 0xaafc0d36, 0xda2a5fa9, 0x52993d08, 0x170ba56f,
+    0x6abaceba, 0xf33c2b74, 0xdce06875, 0x7b8a1994, 0x34b7c9ab, 0x848850aa, 0x84a155dd, 0xca216d0b,
+    0x8f4a6faa, 0xc266da5f, 0x2b82cc9b, 0xdb734dac, 0x06da8e73, 0xb93b286a, 0x419e32e1, 0xbf32a2e2,
+    0x7fbd36c2, 0x5965c033, 0xbf927f7b, 0xfa6a6bfe, 0x7841d19c, 0x8335e81b, 0x1d62d000, 0x83285e41,
+    0xef8beeb7, 0xd6501d76, 0x67e3a843, 0xe0cceb5f, 0x0a4b8fda, 0xabda6a9a, 0x94fce4ca, 0x6e5506bf,
+    0xf9ec91c4, 0x731a3975, 0x587e1f15, 0x761608b8, 0x3f56aba3, 0x43cf7380, 0x5964bc5a, 0xc2fda7ff,
+    0x938c9b00, 0x32ca24e5, 0x6f7a7c21, 0x394699c1, 0x33892cdb, 0x8fdc5a0f, 0x9cb56108, 0xeeb46966,
+    0x97a9146e, 0x31ab96e0, 0x2fe39624, 0x67a56c88, 0x971a5e25, 0xa5cecb04, 0x2a47f1ec, 0x7956480b,
+    0xb3f82714, 0x52e086fb, 0x48fcc324, 0xe7254701, 0xacdb1023, 0xaa52ece6, 0xd7b5b5e4, 0x3b13f9f5,
+    0x148c583b, 0xb0212139, 0x8a02dc18, 0xef823736, 0x6a7de7c0, 0xf93485b0, 0x8e7e7609, 0x883bc3d2,
+    0x2c381f24, 0x52328cdd, 0x3d609064, 0x84be83e9, 0xdd6a8e53, 0xddce5435, 0x4a165817, 0x40395638,
+    0x3cde9b27, 0x85d43786, 0xa7ddfae0, 0x02f53d5f, 0xcc360a1c, 0xe877e0da, 0xc32516bc, 0x568b30cb,
+    0x886a799a, 0x98d411d0, 0x7190afaf, 0xcc2ee235, 0x3d71660a, 0x8efd6f1f, 0x086cbdde, 0xa51ba800,
+    0xdcffbb78, 0x6dbccb7f, 0x1833bd4d, 0x1afb800a, 0x7ac0c710, 0xc33aa579, 0xc2beffb4, 0x966ebc3b,
+    0x287703e7, 0x8bb70f8f, 0xfb4bc949, 0x8135a6e8, 0xa4058222, 0x5d499547, 0xd0868b4c, 0xd126e232,
+    0xc2ab9806, 0xf5ee2ea6, 0xd1e86e54, 0x30aa17b2, 0xde31d1d0, 0x7c35c27b, 0xba6dd1ce, 0xf4356b95,
+    0x0dc34bf8, 0x930d5cd1, 0x3b1493c3, 0x403c6b33, 0xd15ef342, 0x87fe0ef4, 0x4971487c, 0xd0aa3524,
+    0x50cc7748, 0xdece542f, 0x842adc4b, 0x4e7f324c, 0x8863a420, 0x17600000, 0xbd3f30ae, 0xb5cec0fe,
+    0x893bc0db, 0xe2d16ca9, 0x583eef56, 0xbfedd52a, 0xd27c77d0, 0x06ba7957, 0x4a8091ee, 0xac1467d8,
+    0x6a7bf203, 0xf6d0b19d, 0x8c5f234d, 0x697c4d1b, 0x8e0d4e8d, 0x14a0bdfa, 0x62dd792d, 0x568ef216,
+    0xff954ab0, 0x0c97c54f, 0x394d1981, 0x45f18d12, 0x957a806c, 0x84f9ac2f, 0x95214441, 0x03fe8450,
+    0x87c6472f, 0x759cd9fb, 0xea6f85c7, 0xb7780c64, 0x5248f7db, 0xfcb77ad7, 0x8f1926a1, 0xb4d53d89,
+    0x1a604af4, 0xa369fa61, 0x62d423d2, 0x3b19f9b9, 0x28a9797d, 0x0bed2955, 0x35b37238, 0x3332ef1a,
+    0x8a195b36, 0xdf71f906, 0x0028db65, 0x770cca81, 0x858a4bb5, 0x621660ae, 0x765a9ee4, 0xf2e481de,
+    0x0bf61c62, 0xd93856f0, 0xb14c48fe, 0xac817c61, 0x9b6cf7c3, 0x5fc52496, 0x947fde03, 0x2a806eab,
+    0x87661f4f, 0x740ac06b, 0x8d70c2bc, 0xc9796a24, 0xdcaf2876, 0xc271d70a, 0x4fcf25dd, 0x036f9e02,
+    0xc6020e51, 0xcf788fe0, 0x20ed0109, 0xad9f07b9, 0x15fdf068, 0x5636adcb, 0x4599a357, 0x4d01f9f5,
+    0xe4caec52, 0x2dc7c9e2, 0xdc28b4bc, 0x361074bb, 0xdb6a7300, 0xb2b07df5, 0xbe5d7758, 0x18f82e1e,
+    0x5b597702, 0xb9a4e1c0, 0x48359de7, 0x0d5b9747, 0x3baba0cb, 0x1afe2dd0, 0x1d44e11d, 0xefcdb5a2,
+    0x7a966ed5, 0xaa2097b6, 0x97b04b91, 0xe294ac79, 0x7476081f, 0x73bfb3bf, 0x17575baf, 0x6caf35ab,
+    0x2b77b871, 0x19a11120, 0xfd2fe7ca, 0x1b19c4e7, 0x91008be5, 0x83061e39, 0xd7a45502, 0xe526bf0d,
+    0x547c7907, 0x0cd3dd0c, 0x47d945d2, 0x2f16d112, 0xd71666e4, 0x33a367c6, 0x40d107c9, 0xc948abee,
+    0x66d59efa, 0xe39d96c0, 0xbf3b5214, 0xb13c4ef8, 0x575fbeab, 0xd8f2d51f, 0xf3b40e1d, 0xac79782c,
+    0x7c18cad9, 0x23e3fbee, 0x53a7dc08, 0x238c53b6, 0x19bbdd1a, 0xdd09ee70, 0x3b2ccf99, 0x277898fa,
+    0x63c983d6, 0x6e1c3a43, 0x0513a6ff, 0xb065634d, 0xa9aa1456, 0x4c131c5b, 0xcc26df07, 0xf230e344,
+    0x033aa490, 0xfa0ef4fc, 0xadbdbf9b, 0x98cddfcd, 0xbcd44467, 0xff01e4db, 0x908dd008, 0x9b158387,
+    0x9fe67ad3, 0xb5300291, 0xf6f2a0b9, 0x9cde44ec, 0x91ce23dd, 0x84472c50, 0x884b9735, 0x0683f5e1,
+    0x22891958, 0x35a68edc, 0x7d14e54f, 0xd1c36e83, 0xd0e83973, 0x26ef42cd, 0xadd7d80d, 0xfa8e77a5,
+    0x4238c911, 0x9b3a2855, 0x04c3c57b, 0x92e88f53, 0xe8aa8ee9, 0xa8fb7284, 0xecc86820, 0xc09762cd,
+    0x10294eb1, 0x3161cf1e, 0x69727df1, 0xec3ab48e, 0xbc569c76, 0x7cd054cf, 0x777d984e, 0xa465fd64,
+    0x4944eb9b, 0x0358ed2c, 0x0127002f, 0xcf8567b9, 0x14aa929a, 0x903b7737, 0xee115c81, 0x79e7e56b,
+    0x677a1def, 0x6e81b699, 0x8a21fe90, 0x72feae19, 0x61c231bc, 0xd64876ef, 0x4bfeea99, 0x9ed55f69,
+    0xf7287fbb, 0xa0106d9c, 0xf0bc7fdb, 0xb66a6305, 0x01b52f43, 0x94425460, 0x912dae26, 0x121cb95e,
+    0xb91fadaa, 0x8f66bad0, 0xd3c36330, 0xea5efb10, 0xef559024, 0x47503e68, 0x3936a0b7, 0x2c7e0c4d,
+    0xf21df4cc, 0x197e0110, 0x95cf570b, 0xd1b00c0e, 0x64ca9bdd, 0x999a6773, 0xcadba60e, 0xcdbb5a68,
+    0xfc25a6d0, 0x4ecf187f, 0x64292e6a, 0x823b6895, 0xd75bb1c7, 0x8b166ad2, 0x8cd2a7f4, 0x7c8c44f6,
+    0x7c1dd192, 0x0fdf04aa, 0x18c56628, 0xf92177c0, 0xf5f105ee, 0x5d53e8ab, 0xee65601a, 0xf3edba60,
+    0x1ec1b278, 0x16f9380b, 0xa5ed5cfe, 0x5e23c931, 0x701c3282, 0x5bb75b99, 0xba5d3ea8, 0x918ac538,
+    0x52262c6f, 0x0fde5537, 0xa10a6f29, 0x568686b1, 0x418c351e, 0xd67cca2b, 0x50314183, 0x7d66a40b,
+    0xde1405ac, 0x0aa7f06e, 0x83057407, 0x37709bcc, 0xfae822e8, 0xe5f058b1, 0x20064f9c, 0x01924ed1,
+    0xb6790195, 0xf79afe6c, 0xfdfac480, 0x8a701d49, 0x05c942e4, 0x2eb2d17a, 0x0dc2d9e6, 0xce6ff919,
+    0x51fd8d47, 0xe7a06bd1, 0xa2208ffb, 0x7c1201ea, 0xc7952f20, 0xb2ab39a2, 0x4a25fb54, 0x2ca63ab6,
+    0xf526165a, 0xac4f6bff, 0xfd13ef69, 0xa39386ab, 0xa49c37ff, 0xbe20a7b1, 0x9da77994, 0xfb9ace4e,
+    0x6ed05073, 0x41c5996a, 0x41f6f9c4, 0x13a74c85, 0x44757947, 0x8b433ec2, 0xa76e9e82, 0xda488673,
+    0xf7f10405, 0x728b0595, 0x2b670571, 0xf513cbe4, 0x595102f6, 0xa6368a36, 0xc1d82e37, 0xffe1acd3,
+    0x5951cfbe, 0x5d626b1b, 0x2d11dcd1, 0x35dcc327, 0x6ce3aefb, 0x1767d0d6, 0xfcb7e7ba, 0xf0a4e6cb,
+    0xa5237957, 0x16d17ff3, 0x833d1df6, 0x9429db4d, 0x45f6dfe9, 0x9a98a206, 0x0aa9959f, 0x82f5123c,
+    0x04aeeb7f, 0xbd60ac7d, 0x4d1ad431, 0x1855d4c6, 0xb1d3cf49, 0x1d4f1fc3, 0xad5b7ee8, 0x9458e768,
+    0x45a625ef, 0x3b7d32ca, 0x0f1112f8, 0x7822fdfb, 0xec39b074, 0x9697b3f0, 0xa584aa17, 0xcb6b42e6,
+    0xcc441569, 0x73a99942, 0xfd49277f, 0xee2894cf, 0x2b804215, 0xd573d7ef, 0x614dd19b, 0x3042d7d0,
+    0x790133e1, 0x2ab5c72d, 0x14e9fad0, 0x0c87351e, 0x70f36703, 0xeb056558, 0x2264555f, 0xf52e545b,
+    0xaf8fbcf3, 0xf08ab879, 0xdd6e4f76, 0xb0665e43, 0x8bf0bc57, 0x8ba9d64d, 0xbb5f03d8, 0x517823f5,
+    0x67d116e3, 0x77fccf7f, 0xe4ce5d94, 0x19e36cc3, 0x271fcf31, 0x4f19f09d, 0x24b12917, 0xe199ab7d,
+    0x1a3df5b3, 0x5ad6f8a3, 0x749e03b7, 0x77f2d851, 0x8a572ab5, 0xd8859600, 0x2d7624e9, 0x31b21905,
+    0x593cad85, 0x1fc093ce, 0x990e01de, 0xbbad9edd, 0x746923fe, 0xa63c5314, 0x6d4524f3, 0x8dd12e5c,
+    0xbc1c9335, 0x34bd31ef, 0xd1c2ab16, 0x9021725e, 0xd7d581b9, 0x56a61f7b, 0xfe176c95, 0x9b14067e,
+    0x5b528c97, 0x5d7ecaee, 0x1becb16a, 0x3b2ca51a, 0x0a02d1e7, 0x5ce9cafb, 0x82618aed, 0x42451bf9,
+    0x1c0bf233, 0x2cffb50d, 0xd8afac3a, 0x3b41d5f3, 0x421e9635, 0x72774608, 0xdf2c6383, 0x0de60fa0,
+    0xe5bac2b5, 0x6c63b558, 0x827cb50a, 0x64bd4696, 0xea8bfc69, 0x44d46fc1, 0xd6af9239, 0x2a14d348,
+    0xa5bbc0d5, 0x34213f76, 0xeedf83a1, 0xc32e9328, 0xd70502b5, 0x7abeccaa, 0xe6f76f13, 0x6fcbd83e,
+    0x222fb5c1, 0x30768211, 0x50120ae2, 0x6ff1bfb6, 0x23809147, 0x4dae9ccd, 0x376701d8, 0x9bc68981,
+    0x91a4d0f4, 0x59a6a5fe, 0x7099f8ea, 0xe73aafbd, 0x70a029fe, 0xb3c696e7, 0x53c9aff9, 0xebb303e4,
+    0x85f26642, 0x8c2a160d, 0x8968d32e, 0x0a4b01e8, 0xd7aa01dd, 0xf0423315, 0x3c7835de, 0x089f078a,
+    0x2c4d538d, 0x985ab5f6, 0xf9c13418, 0x7231db78, 0x73738962, 0xd6919d91, 0xaed5476a, 0xe3f1b0ac,
+    0xf1de2982, 0x5e670e55, 0x9e0f729c, 0x4cd0159b, 0x581e1c69, 0x90800c92, 0xb228902c, 0xc91326fa,
+    0xb91befa0, 0x8a83e086, 0xad3dea9d, 0x9383ec1f, 0xddfe06a4, 0xc3ca873e, 0x9b16aeac, 0xfe7e4709,
+    0x29eabd00, 0x4818dceb, 0x7458b848, 0x0463f116, 0xb8835802, 0x8b78d240, 0x026edb1c, 0x4fe8dd94,
+    0x65e9e8c7, 0xaf11a8f3, 0xf5ac8876, 0x0a63e5d5, 0xbdbb999d, 0xb9b7935b, 0x4ade6dda, 0x21a2aee4,
+    0x2efa17bd, 0xbd5afc7e, 0xde166e18, 0xdde32a31, 0xac5d4ed6, 0x31cd76f2, 0x82eee3dc, 0x2822e7d1,
+    0x1fe7f367, 0xf7dcdd2b, 0x4da767f6, 0x07eee06d, 0x7a3129b3, 0x4a78868f, 0xa02da13f, 0x3512ff9e,
+    0x41f9aa67, 0xa9a6a22a, 0x02c84433, 0xc57c3bcc, 0xe1574219, 0x51308842, 0xe86ef3a5, 0xf88e5bba,
+    0x4bdd902d, 0xf52b0309, 0xd6bd9983, 0x8ae9a7ba, 0x327272bb, 0x48f23bff, 0xe2a628e8, 0xc251af7f,
+    0xeeee925c, 0xabf11453, 0xf93895d0, 0x441476a5, 0x55f01dbd, 0x4b63facd, 0xabf14467, 0x77d985d6,
+    0x5b4680a4, 0x9bf65fe4, 0x13601942, 0xc5f8a252, 0x1563b1bf, 0x99eaa05a, 0xa7193fdd, 0xd2bb570d,
+    0xeb56585d, 0x4839c6a9, 0x405a1856, 0x7b360c64, 0xd71f7d12, 0x6a2ded8f, 0x5d8e4c0e, 0xc1cd0dec,
+    0xff1dda81, 0xe8b29024, 0xf2a7be44, 0xa762debd, 0x2aa1b388, 0x43385f57, 0xd11c73b5, 0x5ce09f9a,
+    0x7dd860d5, 0xd19c84cf, 0x24c85f9c, 0x03d655e4, 0x344dd711, 0x64e00775, 0xa6d6d63f, 0xa902d736,
+    0x7e14876b, 0xdb9b3f95, 0x302f1782, 0x67b0fd65, 0x2b2f71cc, 0x34bfad7b, 0x5e5a6b68, 0x1c382cd9,
+    0xbea35eaa, 0xf79b260e, 0x1345a6a4, 0x42c4669c, 0x5f29d9d9, 0xec45de09, 0x7bab309a, 0x4d5535ed,
+    0xdec58c8d, 0xf0a43e57, 0x91bf44b1, 0x4017143f, 0xa8c10d21, 0xfbef107c, 0x0026820e, 0x61019aff,
+    0x0a7085c6, 0x28e7684e, 0x36abbd3d, 0x1f9e9d02, 0x75a607d6, 0x0cbc69af, 0xa24e6f82, 0x89d709ec,
+    0xdd09ffd6, 0x354992d8, 0xef8e182c, 0xf6bf631d, 0x52a9b8d5, 0xc1738919, 0x3930bfef, 0x23f2066f,
+    0x82ea6fe6, 0x08566be7, 0x760eaaa4, 0x30ec72df, 0x5acdb11d, 0xe263e4e5, 0xff319486, 0xb753cfaa,
+    0x7389fb9b, 0x7584e6d8, 0xb39145da, 0x0918f4ae, 0x46d85838, 0x03f3d8af, 0x7947fd08, 0xc94574b9,
+    0x43aebbc6, 0x9e12f94d, 0x38692ebb, 0x76124cd6, 0x99f663dd, 0xe8223fd7, 0xda6ee2a8, 0x782969c3,
+    0x37a95288, 0x60a4ef33, 0x46f8d8d7, 0x287ec88b, 0x8c70a5d7, 0x6edfea8d, 0xc747f601, 0xf5ab1a61,
+    0xc2d48820, 0x0facdd45, 0xf07e63aa, 0xd9ca1fe4, 0xa5f2cd40, 0x692b79b3, 0xdc864c84, 0x290f81f8,
+    0xa2047688, 0x00d01a82, 0x778150e6, 0x4fec8323, 0xfda1c1ae, 0xd7b6498e, 0x0df361fb, 0xf7ff23bb,
+    0x451f9be7, 0xfbd2ccfd, 0x13831cc3, 0x53d04cc5, 0xd48c31a4, 0x59ae8c45, 0x49beda33, 0xae52359f,
+    0x00000000,
+    0xc9a4ea7f, 0x2c94092c, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000091343852333181432387730302044767688728495783936 */
+  { 0x00000000,
+    0x5270ad49, 0x03a5871c, 0xeecdc4d5, 0xfba52a9b, 0x51aa7cfa, 0xcfcc50a2, 0xee1fb9b5, 0x66611087,
+    0x98773341, 0xd1801a85, 0xb5aad734, 0x52428610, 0xb8d08ee3, 0x7b91a366, 0xc39cf93c, 0x4d794ce8,
+    0xf40ef65b, 0x5f82f9fb, 0x854a75d0, 0x442c4dc1, 0xd153f51d, 0xba323931, 0x98ac3fc2, 0xc24962c7,
+    0x352dd0f1, 0xd30fdedc, 0xd0403d98, 0x6c5cff88, 0xece6f518, 0xbbe942e9, 0x9c649b0c, 0x84c0eb2d,
+    0xa13e14be, 0x39a81a95, 0xa2366f26, 0x266d53c6, 0x3f985154, 0x5dd29761, 0xd3c66d19, 0xef60ff4c,
+    0x660def36, 0xf01646c7, 0x1bb1493f, 0xd8336e7c, 0x0f5e22ae, 0xc830fb2e, 0x7280ed4e, 0x6cdc4526,
+    0xf692d2c6, 0xa731a18a, 0x1a93363b, 0x79b9fd83, 0x843794cf, 0x4a1264a3, 0xa2dc5f58, 0x9d62c88b,
+    0xa9dfe1a7, 0x9806c8ef, 0x48ee987c, 0x0cc79a85, 0x47fa77d6, 0x1c5fcdb3, 0xb2d2e589, 0xd5f7db9c,
+    0x28c342a9, 0xdb4a250f, 0xc3113035, 0xbfadaa37, 0xdd523ebc, 0x1f6b7539, 0x17c4d64d, 0x48f89137,
+    0x9f4df69f, 0xd986e80c, 0x47b626ac, 0x4f70f996, 0xa0afbf00, 0xd8232b93, 0xbf2f712e, 0x6c7f8de9,
+    0x7cf9b56c, 0xe21522f2, 0xcb74561b, 0xa3394e99, 0x4282aa76, 0xd4e6e3f0, 0xdfc2808b, 0x1c29969d,
+    0x49ac28d7, 0xd21bcb91, 0xf49d6315, 0xd2269d9a, 0xb4c536ec, 0x44157e0d, 0x43d7db3b, 0x5faa816f,
+    0x73ee400a, 0x3191cad7, 0xdd50bbbf, 0x2b2f0646, 0x8193440e, 0x304c3fa2, 0x9a0fc50b, 0x09078de5,
+    0x1d2278be, 0x89ef0a9b, 0x623be3e4, 0x70fb4cec, 0xabb2c2b3, 0x2e12462b, 0x493d9d68, 0x83f2f985,
+    0x74a66d7f, 0xa2e32e72, 0x8d7bc3f4, 0x6d8fe2ca, 0xd884dc42, 0x92d24a7f, 0xb878c4dd, 0x8efc0041,
+    0xde1310e4, 0xf13ced64, 0x1830e6f5, 0x80b57cb8, 0xf4e1d560, 0x59237db0, 0xb72040df, 0xe152c93e,
+    0x81073399, 0x3f73f6c1, 0xce5f9268, 0xffca69ab, 0x050673b2, 0x0857ef6c, 0xae97edb4, 0xd42f441d,
+    0x23903f3a, 0x3237f181, 0xc8ff3291, 0xc27bd4f0, 0xe3df89b9, 0x721514fd, 0x925ae2f7, 0x323503b0,
+    0x128124b3, 0x99cd1439, 0xef6f8940, 0x20b4c76c, 0xdf06b009, 0xbddcafbc, 0x6389f4b0, 0x512f5450,
+    0xf946e2af, 0x864226a3, 0x33b13fed, 0x282c74ce, 0xe44af8ec, 0x07c6b3e6, 0x6fa2e9bf, 0xeac62585,
+    0xfa566928, 0xe614c79a, 0x48936af4, 0x4197fdf3, 0xe2240c6d, 0x3a00aac0, 0xe69d8aab, 0x2327c703,
+    0xe9f7611e, 0x51feeacc, 0xa94ca514, 0xb3bd4e13, 0xf4cd4a9b, 0xbd7dbae9, 0x3a353128, 0x439abae1,
+    0x65c6da21, 0x173cbe90, 0x5625dc4f, 0x5ab028e8, 0x99e53ebd, 0xd5d10278, 0x2f237001, 0x316d0783,
+    0x963c4394, 0xd4353f7b, 0x000117b9, 0x45b4a6a8, 0x5b0959f5, 0x36621935, 0x72d28386, 0x8e462703,
+    0x05fc16a7, 0x30f37673, 0x1e958b87, 0xd04abc00, 0x74824958, 0x65498d74, 0xb2a22e3c, 0xb4af5ba9,
+    0x7080987e, 0x37a9eb72, 0x60f42d2c, 0xb6ebe6ba, 0x05eb7dcb, 0x1b3f4e45, 0x53e74230, 0xd59ada85,
+    0xc68acf99, 0x4cf8f0d8, 0x63f0e835, 0xf4dfe953, 0xa24299ca, 0x7ce7175d, 0x0e425f22, 0x604dd185,
+    0x6dc54baa, 0x65aff6cc, 0x9585f255, 0x56301363, 0xa2ba1f2c, 0x406effb0, 0x6795a854, 0x26c166e3,
+    0x4042bd61, 0x8e7f8728, 0xcbd58e70, 0x4d8c8444, 0xab004391, 0xfb2f29ae, 0x50537f99, 0x6e616ec4,
+    0x3743f7d4, 0x2b5af1ee, 0x29f95f45, 0xe25c1f00, 0x1dfa90f4, 0xec97aea0, 0xe6100118, 0x99ad7a33,
+    0x81e74df5, 0x4f73788b, 0x8313d42a, 0x2b82e0e4, 0xbc3f167b, 0x7d606878, 0x8d561255, 0x4f69721b,
+    0xa3bc89d7, 0x1395a45d, 0x1c61422e, 0x6ab43be7, 0x239f9519, 0x7fc9a520, 0x2478d5a7, 0xcc586b3a,
+    0x533fee3e, 0xa0be2813, 0xfd10bda7, 0xa84eeca0, 0x83b09cfa, 0x475ec8f9, 0x354c708f, 0xea09f905,
+    0x1a840144, 0x2d863c86, 0xadd3f472, 0x2054ccc0, 0x67a9ceb1, 0xec8e0485, 0x9ffe1e0e, 0x4d6d00a1,
+    0x83d2d17d, 0x1ecd1a1d, 0xec535306, 0xc6efb98c, 0xce32f9ba, 0x3791cf78, 0x1130949c, 0xca64a317,
+    0xf22c3cd7, 0x9bb467bb, 0xecc1efb8, 0x68c5ce3d, 0x70ad9396, 0x612c1066, 0x5f350c45, 0xbe335aba,
+    0x714e2fdd, 0x5f18d70b, 0x12a1b590, 0xd1942fdd, 0x708d27ab, 0xa1765936, 0x85007fcd, 0x81a26794,
+    0xf9228a3e, 0xdbe653d4, 0x3ad7b819, 0xcd3d7396, 0xd2d0895d, 0x93317b70, 0x8227db16, 0xc864076f,
+    0xb13667c6, 0x8cf706bc, 0xcfac304c, 0x123c9583, 0x40a59c92, 0xfd10183c, 0x314bb52f, 0xa7b52962,
+    0x912f3a5c, 0x1d6fb030, 0x9acab41b, 0x32fd5fd6, 0x50e3f5c6, 0x1a6c8403, 0x576897ba, 0x765e60d0,
+    0xd66939a2, 0x8e650eb5, 0x61c2f48a, 0x78298bf4, 0x14a4a744, 0x103927fe, 0x5fb414a5, 0x1f9740bd,
+    0xcaace45f, 0x1bf5788b, 0x90894bbb, 0x07f85e32, 0x3dee189c, 0x584c9965, 0x4e7d78d8, 0xb738697a,
+    0xa347161f, 0xd2b1c899, 0xad1d0a49, 0x10609fd2, 0x32e86d8d, 0x9d9ea74a, 0x6999e506, 0x10d1b80f,
+    0xcfd0c6df, 0xebadda13, 0x235b8198, 0xe6fd61a3, 0xf6fe72c7, 0x0a15ad5d, 0xe14e8817, 0xbe61eab1,
+    0x4be5d424, 0x60dce553, 0xc8b2d2d5, 0xadd61588, 0xc34cd178, 0xe1a330f3, 0x7c21f4b9, 0xdb7d4da8,
+    0xfba92e20, 0x80b7d51b, 0xee917aad, 0xf56a8ed1, 0xeda88510, 0x8b4e7d9d, 0x9af0b9d9, 0xef41fc9c,
+    0x9d4daf9e, 0x5515dee5, 0x4245bbec, 0x95604e74, 0x5cc03f5c, 0xc84cf941, 0xbc440631, 0xda54b996,
+    0x819d3241, 0xdaa31597, 0x6013ebdf, 0xd5e06c3e, 0xeae4a573, 0x6277ba2b, 0xaec75c8d, 0x786e95b7,
+    0x6fd704b9, 0x30e48c88, 0x752de297, 0xd4db0d62, 0x38981c24, 0xf863ec79, 0xbe709e80, 0x10cf9d6c,
+    0xbb8e5760, 0x1f08c37f, 0xefccd382, 0x80b47eb3, 0xfbbcc3b5, 0x2b58c9c8, 0xc97a9261, 0x84257293,
+    0x82543f35, 0xd771b68e, 0x268aa3ea, 0xd566b5ba, 0x471a11c0, 0x6d1f02a7, 0x1b6911c4, 0xe54d0bbb,
+    0x558aa659, 0x13ab0913, 0xc0faba76, 0xfcbf450c, 0x9b25d29c, 0xa9a7a3fb, 0xf7ca12a1, 0x95651867,
+    0xba60bff4, 0xda3946a3, 0x54775fd8, 0x8c56e05f, 0x3b570836, 0x94ab994c, 0xe720d161, 0x9c19fdcb,
+    0xd702a37e, 0x53acaaa7, 0x0c29950d, 0x4f1609b4, 0x976beb2a, 0xd802b9c9, 0x60160356, 0x9f1222c7,
+    0x7caa21d4, 0x3b8c6120, 0xe6c4b7eb, 0x001f33a4, 0x12c0ccdb, 0x1bb62934, 0xca0caf69, 0x7c48b55d,
+    0x7add9434, 0x8c3c881c, 0x299f9abf, 0xdd4289f9, 0xa0b99651, 0x5b372948, 0xd9e68500, 0x7672bfd4,
+    0x5f6c18be, 0x15036fe2, 0x204964fe, 0xb3ad0ed1, 0x7d150abc, 0xba26b0a2, 0x08cebfe3, 0x65ffbc58,
+    0xe8c842e7, 0x05d63890, 0x6d0d9d13, 0x5b8493c8, 0x4e79b0a2, 0x974b674a, 0xfb9dff4c, 0xc57caea9,
+    0x46ef07f5, 0xb4dccdab, 0x43594add, 0x78703f36, 0x2f6a167e, 0x2844a3dd, 0x1246b304, 0xc609241b,
+    0xed3e9db8, 0xf1925938, 0xb78e3ceb, 0x8526ca8e, 0x7cf0ac07, 0xf6a59bf8, 0x413e3468, 0x4ac178ad,
+    0xe89df93a, 0x0da29ebd, 0x0de1673b, 0x920a8c6d, 0x509927f9, 0xb3f83166, 0x86f65a9a, 0x511508f1,
+    0xb9e4ec89, 0x1e93aef6, 0xd47764d7, 0xd02777c1, 0x898442cd, 0x8eae19ed, 0x499c3b82, 0x4038f920,
+    0x795cd197, 0x7ace2b62, 0x31f6240e, 0x9cdce2a0, 0x30f05278, 0x91770705, 0xbea8b9a8, 0x8ec160ee,
+    0x20a08c39, 0xd2dcf74e, 0xc6fe2184, 0xfcddd4aa, 0x988ec99f, 0x66a15316, 0x13a48e70, 0x0acbbc7b,
+    0x97aac5fd, 0xf5fed5f8, 0x372795d7, 0x526cdd20, 0xfc7156ad, 0x9d967ce1, 0x49c00089, 0xcd51f3b8,
+    0x538794b1, 0xf1bf27fe, 0xda085a8f, 0x35428460, 0x35dfa4a9, 0x6fe9fb10, 0x53bc175c, 0xbd26dd3d,
+    0x6f40b86f, 0xeb3634d7, 0xd5b803f6, 0x5fe4f25a, 0x1db7089a, 0x279e7242, 0x12628b3b, 0xa2d430d6,
+    0xdc67af7f, 0x97fa3fed, 0x338342be, 0xa67260d2, 0xa8780607, 0xf7c79dd1, 0xcd97a16e, 0xf3436045,
+    0x4328bf6b, 0x1254d027, 0x86ae6442, 0xae98ebaa, 0x76c3da30, 0xcb1c5826, 0x62dcee42, 0xc56a6917,
+    0x67abe160, 0x93362be3, 0x1de8e4ec, 0x6f11c58f, 0x23010be6, 0xe98e0e2e, 0xf1b9ce80, 0x69415471,
+    0xa4e4dbd6, 0xa45f4eab, 0xd06ab771, 0x49af6908, 0xc35afe84, 0x3e057625, 0x403824fe, 0xa063e91d,
+    0x27b2c21f, 0x02b98229, 0x81996d13, 0x61915a03, 0x25ed81ce, 0x7126e18d, 0x9c1f57c9, 0x65d76654,
+    0xec4ff824, 0x823eea6c, 0xf217e0db, 0xd432dc85, 0x5ec5b3c2, 0xe1433061, 0x531a4632, 0xd7c50cc1,
+    0x73f3f0e2, 0xa98dd405, 0xb32c82a5, 0xb0d5a69e, 0x5a31a977, 0x4ce2c9e0, 0x1260dd1f, 0x37423b07,
+    0x21bc35a9, 0xbd39eb30, 0x0e45d70d, 0x148c803b, 0x95452394, 0x48c24e52, 0x5a593b86, 0x8d702a9e,
+    0x5e615045, 0xf78c7d3b, 0x64245979, 0xda110e0c, 0x2a61574a, 0xd90afff3, 0xaf3f67a8, 0x50830224,
+    0xa7f59ca1, 0xa7984a4e, 0xca53a6d5, 0x2a7c0bb0, 0x4a281a32, 0x0e604829, 0x089359ed, 0x87ab276f,
+    0xb8875e1b, 0xa23da9ff, 0x119996d5, 0xf1c4d55f, 0x83b7d5d5, 0xf3c80191, 0xabcbad44, 0x82036fe7,
+    0xe8bdcaf5, 0x8c96f1a2, 0xb1d1baf2, 0x8269fe84, 0xa9cff482, 0xdeab54e1, 0xc5a4b593, 0x246e106f,
+    0xee2faa76, 0xcd777073, 0x704d6ddb, 0x784f1cca, 0x142cd0db, 0x5c54c9b8, 0x6ba270f3, 0x5c8dc258,
+    0x29c74c7e, 0x127b249b, 0xb342e1fb, 0xc548a3e9, 0xf50a5f4a, 0x4a02a2d0, 0x1a5f9cf8, 0x863af4ae,
+    0xc81d77c5, 0xf8011540, 0x2cdaa4a0, 0x7a905d7b, 0x97d5f504, 0x78096a1b, 0xaeb4ad6c, 0x8882509b,
+    0xaea69a54, 0x7e6c3a8e, 0xfa83c699, 0x6e760ce5, 0xd59d4cbe, 0x886f07c6, 0x1a242947, 0x0855d0db,
+    0xe0321c25, 0x4ee1d975, 0xcbc1bd69, 0x60ab0bfe, 0xa360c95b, 0x3f810152, 0x8b2c55a5, 0x637a3e37,
+    0xe3f9e599, 0xff43ddca, 0x6a80ce54, 0x5cb05afc, 0xdf1c4cc2, 0x181f3071, 0x8a45943a, 0x0bb0bdbf,
+    0x04fe4293, 0xc7f12616, 0x4fc52e0c, 0x4eddcc6a, 0x1f5bf1ca, 0xf2a5e5b6, 0xbaace848, 0xcaf57e05,
+    0xe3fd4041, 0xf8d80e49, 0xeb75c948, 0x3173c440, 0x9c98bdb0, 0x74de39e1, 0x1683ead3, 0xbed51561,
+    0x54c8120b, 0x800bf360, 0x1857e4d1, 0x5021962e, 0x30ec59a9, 0x3c5804b8, 0x772a22a3, 0x8393ea5a,
+    0xee307400, 0xf5d35038, 0xc4ddaa81, 0xe40850cd, 0xcf6f5bdf, 0x41cbccc3, 0xeffb4e74, 0x84b29cce,
+    0x3c7c3ef6, 0x539531ac, 0xceda3208, 0x31c04933, 0xd7c1ebf0, 0x1ea99c99, 0x4e8eae92, 0x8f2b2e98,
+    0xee3eec68, 0x4ffdb3f8, 0x2b1019f7, 0x8d32db9c, 0xade15b21, 0x2c551a86, 0xe2e6bcc1, 0xb2f62cdd,
+    0x477ef6fc, 0x014fc6f4, 0x68b41070, 0xb96e73a5, 0x446c22dc, 0x5333346a, 0x3fae3871, 0x1d14fe75,
+    0x578212d6, 0xb4c7a195, 0xe6cc27e3, 0xf2b44265, 0x23a3128d, 0x63a700a4, 0xebb1c9e2, 0xe13a5d8c,
+    0xa6d443ca, 0xe927f181, 0x24ba63c7, 0xd4d66465, 0x39fe5d47, 0xd3b1157e, 0x91792094, 0xd15f3d95,
+    0x0c5b3243, 0x300078a3, 0xcd17e0fe, 0x30542003, 0x2308740c, 0x37072644, 0x756262d7, 0x6f5db614,
+    0x63a91164, 0xd490606f, 0x879000b3, 0x5e4c0299, 0xa274c7f6, 0x22156562, 0xd912ab7a, 0x580f32a7,
+    0xd2d18c93, 0x5e98ccd3, 0x1d3c6811, 0xc2dc1c7f, 0xfc29a47c, 0x985d3ace, 0xcea28606, 0x8a69d6ea,
+    0xbe0cdff5, 0x708644f3, 0x06083591, 0x8761e0f1, 0xf096239d, 0xd49e81c1, 0x68fedd41, 0x09a25603,
+    0xe09b6544, 0xe7a1df93, 0x1a4dcb18, 0xdd1c41ae, 0x247cd7da, 0xaf4b91c0, 0x8773d55c, 0x9ff51a2c,
+    0xcded92b0, 0xe0e1e301, 0xd2a5d0ad, 0x4ee92f26, 0x6a1f3d33, 0xb2c13dd2, 0xf290a889, 0x2b1fdd93,
+    0x88f6c68f, 0x9a7d53a0, 0x10cf76c8, 0x5fa5403b, 0x20397c80, 0x2c1150fe, 0x735f9744, 0xbe653aa8,
+    0xdae428c0, 0xaf53c324, 0x16fe72e5, 0x689d7ba0, 0x286dbae0, 0x32dc491a, 0xd7835685, 0xffa0fcc9,
+    0x329ed874, 0xbb2227c7, 0xb115fbd0, 0xf2addf2e, 0x27597d58, 0x0e139346, 0x621fc4f1, 0xab3c64fb,
+    0x56702f59, 0x0b8f9343, 0x8ecfe48d, 0x72c89be5, 0xd55d6ec3, 0x938a6939, 0xbd5c740f, 0x16b080a7,
+    0x7de17b1e, 0x1ab4a04e, 0xcf521e01, 0xbace34a2, 0xb6941281, 0x0b82ad62, 0xc12454a5, 0x1b02a94a,
+    0xb85ed38d, 0x12d0f7ce, 0x2bf4a129, 0x79c02f68, 0xce2208b5, 0x1b60b5f3, 0xd631cf56, 0xfa7dab20,
+    0x8b64cb84, 0xc5e7e2b7, 0x64d269b0, 0xca590fc3, 0x331d236a, 0x60752979, 0xd8615d1b, 0x07942fae,
+    0x614c925d, 0x09569943, 0x61121c70, 0x936cf3e4, 0x8dc9df37, 0xe7a08ad3, 0xb401425a, 0xa71804af,
+    0xc262e1b4, 0x9e22b82b, 0x177e8c42, 0xb032e18e, 0x5ababd07, 0x858f924b, 0xb7b95dfb, 0x4a3c0aea,
+    0x53c34660, 0x3e708431, 0xeff3533b, 0x2070cbb4, 0x71449908, 0xeca6a43a, 0x8dde957d, 0x0684ba60,
+    0xac74986d, 0x6b33ec9d, 0xd939267a, 0xc8096601, 0xd529143c, 0xed757456, 0x71308af4, 0x4af02c60,
+    0xb67aa6c8, 0x9b4e2715, 0x05ca963f, 0xe9692e0f, 0x99e501b5, 0x8a0804ec, 0x139e7f09, 0xbdd69c87,
+    0x82d894d2, 0x25d3161c, 0x56d6d5d0, 0x35b964ef, 0x9979a904, 0x92bee1bb, 0x781dda19, 0x62a4aa84,
+    0x030d6552, 0xefe71141, 0xb4f0a29b, 0xe38651a6, 0xe28264fa, 0xab8537b8, 0x93482c4f, 0xb2d4e426,
+    0xbe7b7ee0, 0x3def5470, 0x2cf46751, 0x95ae0b46, 0xca68cf64, 0x85f079e9, 0x9d4e4bd7, 0x0bac5526,
+    0x53807de1, 0x25052056, 0x61ed0de1, 0xb9fc558a, 0x029541d5, 0xa098965f, 0x2ddb1d26, 0xf5a294c7,
+    0xf199f000, 0x692df8ca, 0x690c28e3, 0x09732816, 0xa79312c9, 0x10bf4637, 0x9384cfe7, 0x94b41420,
+    0xa3f1e8d8, 0xfbf3973a, 0xf5baef21, 0xe89231a4, 0x20bcb014, 0xa177a5b3, 0x7c6522d9, 0xef442aec,
+    0xf7280e33, 0x026ba51e, 0xb6193a07, 0x9ee193a6, 0xcfb87815, 0xc18696d8, 0x2e4beaea, 0x0894c8d2,
+    0xe06266a3, 0x73dfb741, 0xbdf95a27, 0xacb0cce2, 0xca7fbbb6, 0x7e033c9b, 0x1454dd2d, 0xcdb4490e,
+    0xa935feef, 0xe88730d5, 0xb35b95e0, 0xdcc6135e, 0x219a45e2, 0xf862bcdd, 0x872ad247, 0x675c2d36,
+    0x763097e9, 0x43846ea4, 0x6584bdf6, 0xc75c9158, 0x34cf2a31, 0x273a3853, 0x77f134a7, 0x2c818a8d,
+    0x35b7a412, 0xc2982502, 0xea3c309a, 0x7ceb05a3, 0xae768aeb, 0x65278667, 0xec507c33, 0x3633d505,
+    0x7588d98a, 0x550e0b13, 0x49b222e5, 0x425b6fe2, 0x7d7f320e, 0x1fa525ab, 0x869bb6bb, 0xf597d8c1,
+    0x40691946, 0x746affcf, 0x3975e03f, 0xeead21ba, 0x578a6c7b, 0xd836074d, 0x0ab4d3f6, 0xef0ae624,
+    0x895b5d20, 0xbdb50670, 0x25d40b78, 0xba0f3b46, 0xc0376be4, 0x700e685e, 0xbd616fdd, 0x95602ef7,
+    0x00000000,
+    0x64d2753f, 0x164a0496, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000045671926166590716193865151022383844364247891968 */
+  { 0x00000000,
+    0x759e2458, 0x749510d4, 0x23757672, 0x992c729f, 0x471bae61, 0x5026df92, 0xaf135510, 0xf1a80bb9,
+    0xef313dff, 0x7dcd5c36, 0x5b7fc0a7, 0xb5013e4f, 0xa2b37be4, 0x389267f2, 0xca6fad79, 0x1aa01468,
+    0x63e0d9ef, 0x7d15a7ad, 0xa3be8eb3, 0x3fd5df07, 0x25838041, 0xb9db14f4, 0x978e25a3, 0xcb99334a,
+    0xfcf0097d, 0xfd45a310, 0x0bbdbb8b, 0x2d1b320c, 0xe09a1dbb, 0x94ec98f0, 0xd27886ec, 0x182f4b9c,
+    0xd76d5eaa, 0x4f17ae85, 0x5bd9a302, 0x8be4ae90, 0x409b357f, 0x9bbe16a9, 0xa4041dfb, 0x0d7d2748,
+    0x2f6f4107, 0xed445068, 0x8fb0611a, 0x6f344a83, 0x03dd880f, 0x4f6fc8a8, 0xfc2ca380, 0x9f90c546,
+    0xc398ea72, 0x06d66907, 0xc5d83a30, 0x0f30390b, 0xfa35b365, 0xc4d8c405, 0x8b249a3a, 0x3a25a39b,
+    0xf116493f, 0x709f8b5e, 0xa84e2fb8, 0x98808b6f, 0xe14cb6d0, 0xff0ff8c8, 0x8fdfea86, 0xf543d2b1,
+    0xf9df636d, 0xd8d66730, 0x26b3de18, 0x87691111, 0x0d0f127c, 0xc9d63893, 0x4b9ee7bb, 0x7b632e9e,
+    0xf9e33fc6, 0x2724a54b, 0x54929b47, 0x7d4ac802, 0xfeeb4520, 0x9e93863e, 0xa7fefabf, 0x24c65314,
+    0xc0769780, 0xe155d34e, 0x469168ae, 0xb2d420f4, 0xef739375, 0xada5502f, 0x5b70de5f, 0x6239fe61,
+    0x8f78cb95, 0x0d2b5544, 0x872df5b7, 0x07329f37, 0x72687d28, 0x736ccf46, 0x6e58eb75, 0x7b197b58,
+    0xda60c384, 0xf81ab315, 0x8a8c642c, 0x3589d57c, 0xd470812c, 0x4b65bb8e, 0x7f85ea0f, 0x18a3146c,
+    0xbe670858, 0x15b305b7, 0x29d44bff, 0xe08895d5, 0x5952750e, 0x223d6e8e, 0x8b6e60c8, 0x81ba1a1d,
+    0x9e47cf31, 0x8271bec5, 0x3a06741d, 0x62dd7d59, 0xa261cc12, 0x1302db4e, 0xecf8027a, 0x0d1e7f71,
+    0x4c4d6ee4, 0x02593b9d, 0x564ab811, 0x52102d53, 0x746ebcf0, 0x4b3c37e5, 0x1b0e3721, 0x3436c13f,
+    0xbb416ec1, 0x64ea746c, 0xd439f0d7, 0x09a1466d, 0x209c2e0a, 0x945a4d55, 0x4ffa97e2, 0xe5d70e76,
+    0xfe063d5c, 0xde749521, 0xffa974fe, 0x68d3f38f, 0xac3a6e1b, 0x8811dc23, 0xec98b86f, 0x9caf8c8f,
+    0x67f543a3, 0x30f0f0bc, 0xf71c51c6, 0xc4bb6291, 0xe4bbb839, 0x270bc8b3, 0xb58fb49e, 0x654b7cbc,
+    0xf458567d, 0xbb635955, 0xa8de9785, 0x5faf6fa3, 0x91202b00, 0x4fca0546, 0xb04c7f85, 0xfd120f5d,
+    0xbcec4390, 0x687d1f0b, 0x452543b5, 0x0ed88a0f, 0x11247bb4, 0xe26a4599, 0x62eab579, 0x8df5c8b2,
+    0x0ce6e5ca, 0x49985e6e, 0xbc510281, 0x8f388b32, 0xe4635ad4, 0xf27fabc4, 0x5ef0661a, 0x4ec0cd19,
+    0xc761b71a, 0x19eecc61, 0x8ab4586a, 0x4ea4fdf3, 0xe28c8f62, 0x502f3239, 0x261772b4, 0x438c8b0a,
+    0xbd328213, 0xae0f376b, 0x431849e4, 0xb13cdb13, 0x0e95eb55, 0x6896b702, 0x8338c659, 0xaa53292c,
+    0x947b3070, 0x0150c987, 0x1ea870d1, 0x1088acea, 0xfe3d2439, 0x2ec90d2a, 0x301babce, 0xa2c498ec,
+    0x0ae2eef9, 0xbb695219, 0x459221f7, 0x9e438402, 0x9b7ffeaa, 0xb82b4b3b, 0x2de40a4d, 0x9111fcf8,
+    0x1dffcfaf, 0x05333004, 0xa275c31c, 0xcd5aea9a, 0x5935176b, 0x8a8eb506, 0xdd787f0e, 0x7e510cef,
+    0xca65b4dc, 0xf6ce050f, 0xbdad485a, 0x2078cda1, 0x5be51955, 0x9fe61f84, 0x9fb2a466, 0x6e3f41d7,
+    0x1e62e829, 0x720a534c, 0x22416ec5, 0xf919f9a9, 0x651b6ea5, 0x4db4de48, 0xc49c2d25, 0xf6391c23,
+    0x754f78c8, 0x1c460977, 0x0249578c, 0xae392dfe, 0xbbca6bf3, 0x52adce60, 0xae23ad82, 0x34f8a2c8,
+    0x1a6d4555, 0x3e391bd0, 0xf297c90f, 0x7ae4858c, 0x9d0f406a, 0xde535904, 0xeff64c4f, 0xd1f79fe2,
+    0xc9e0275d, 0xcfa4834b, 0xdb51c768, 0x7df9c370, 0x01df114b, 0x53036fbd, 0x407fe793, 0xb857cdbd,
+    0xb8b8cd46, 0x4eb42647, 0x9fd921ff, 0xb43e8ab7, 0x3cbc0f7f, 0xaa4b8eea, 0x04eedfd1, 0x67357bc7,
+    0x667b019e, 0x26c8a8e2, 0xe2559e55, 0xa3bade80, 0x3663f33c, 0xdefc1426, 0xe3311464, 0x63740014,
+    0x36df1f86, 0x4436834d, 0x28ed13d4, 0xcd6df458, 0x39ae5fbc, 0x938c7b63, 0xcbae2154, 0x73842035,
+    0x52c6ffbd, 0x0e1ad2b7, 0x49651c8b, 0xf6095a1a, 0x89a6f5d3, 0xf17e3fa4, 0xff08fd15, 0x1346f9e3,
+    0xd7ae65c5, 0xc2b93488, 0x50d6cdca, 0xbbf6bc67, 0x72610b75, 0x83da882c, 0x179709f2, 0x949e4d40,
+    0xd34281fc, 0x15c211c5, 0xe4d8c516, 0x3e17d138, 0x2d7c1807, 0x4b29caaa, 0x6f404b76, 0x9aaf045a,
+    0xf3582989, 0x5f091d2c, 0xad690802, 0x7da1a5cb, 0xc6b0fb38, 0x2fcbd607, 0x313cff9c, 0x76845d60,
+    0x52628740, 0xbcf10bce, 0xa50571e9, 0xc7a58538, 0x74adcbd8, 0xb868fb7e, 0xa60d852b, 0xa516d8da,
+    0xda04252d, 0xda37c3c8, 0x040fba49, 0x368df851, 0x9ec89fad, 0x2096eefe, 0xfb4ed466, 0x08c2a206,
+    0xa5398fb6, 0xc877ecf0, 0x5ae94b61, 0x7292a1c3, 0x631dd7e8, 0x90bc9115, 0xb8529f3b, 0xa1c9caa2,
+    0x12d470de, 0xf3677693, 0x62daf8da, 0xf5ba7ee3, 0xe86fbe37, 0xedf3e1b9, 0x8b574f60, 0x683e490a,
+    0x9577097e, 0x806860a0, 0xb719cf78, 0x26e9c81f, 0xc71e443b, 0xe8640981, 0x6f6eeb1b, 0x985b9b0b,
+    0x38b1f7b4, 0xa5fbf54c, 0xb3b375de, 0xa9161273, 0x643aa614, 0xda87d9ea, 0xa12b25ee, 0xf75bd15a,
+    0xff1251ac, 0x9d068e79, 0xbc11fbd5, 0x551861eb, 0x70294aa1, 0x7eaa9b61, 0x13d0faf1, 0x770e7cb0,
+    0x392b03a5, 0xfb55e858, 0x2c90d9ca, 0x3b5a807d, 0x8ebef6a5, 0x83c4f874, 0xde38e619, 0xab21ca2f,
+    0x4e8396c0, 0x5ea6b292, 0xecf1dfab, 0xb9abf09f, 0xa3ebe989, 0x72fc74ef, 0x340c7752, 0xfbfd0e03,
+    0x424dae91, 0x6f42b8f2, 0x0bcbab10, 0xd3304c4b, 0x90f8a50f, 0xb92e488b, 0x7c399fc8, 0xf274f247,
+    0xae043676, 0x188a0b98, 0xa2de7046, 0x78a1e6f4, 0xa82de667, 0x430f8e50, 0x98f5e81c, 0x895b5e60,
+    0xf98e0e87, 0x5feec474, 0xc6a946f3, 0x864cc1cc, 0x3857078a, 0x13598181, 0x6ab70f78, 0x0589b3a0,
+    0x438ef0a1, 0xb07e5c5e, 0x85ac5f0a, 0x22c0d14b, 0x7e69c711, 0xdbe2d3f7, 0x62cc9993, 0xf688f732,
+    0xd614aa43, 0x02269fd1, 0x92765005, 0x9db9734e, 0xa5eeee79, 0x5740c85b, 0x3dbc2cfc, 0xbc3275c9,
+    0x91621109, 0x8e4d9a5b, 0xdfd792c5, 0x4769e43d, 0x1418bff9, 0xad290a77, 0xfcd461e0, 0x0a9117df,
+    0xb853cfbd, 0x1e4cef63, 0xdbd4ab07, 0xc77f71c8, 0xa6e2e3d2, 0xea981901, 0x041565cc, 0xfc5edf6d,
+    0x4a15c45d, 0x2ca5e4e3, 0xb774f637, 0xf24265e3, 0x70495e43, 0x831e1463, 0xb87b06cd, 0xab0c26eb,
+    0xa75363c4, 0x788d2501, 0xfc25ea04, 0xbeac292e, 0xc0be3a4d, 0x0c3d4013, 0x6f1ffc77, 0x81286b68,
+    0x3507420e, 0x87ca290d, 0x3007416e, 0x5c80f8bd, 0xf7b70745, 0x22fd13f0, 0x08d48845, 0xa7a1ab11,
+    0x8cc2eed8, 0xbbc06423, 0x32de328c, 0x8868d637, 0x1725c8b0, 0x38025014, 0xa913742e, 0xf9b81b8e,
+    0x8fa450f5, 0x56387414, 0x1ad643df, 0xc2630f8e, 0x2379674d, 0xc3e98ec5, 0xa5ab4f08, 0xa3010d97,
+    0xa80be7ef, 0x9a52f22a, 0x2b96ab35, 0xa63fa7ea, 0x143d568a, 0x9491f5ba, 0x00be7a6e, 0x0d193cf1,
+    0xf909db59, 0x8596988f, 0x3d16c4cd, 0x1d173983, 0x35ec511e, 0x250c7690, 0xae608f08, 0xb72ca25d,
+    0x7089ee47, 0x24e21414, 0xd9b45171, 0x1479d142, 0xa3fe55d5, 0x98d7998f, 0x886150a0, 0x3e959655,
+    0xf6cdfaa0, 0x443feccd, 0xb92b7fa5, 0x6a925e43, 0x4881e391, 0x720038e8, 0x60127b94, 0xbddf82a9,
+    0x56b8a843, 0x8f6b4ab4, 0xaa6889cc, 0x441f7bd9, 0x85b9f0d4, 0xff1912db, 0xc602c054, 0xb3e0bade,
+    0x76bf8f9b, 0x30bde0dc, 0x872e9374, 0x1419d77b, 0x3fca5aef, 0xfa8caa1e, 0xafcd0455, 0xc86f7b23,
+    0xcba88325, 0x7fa90d05, 0x82d935aa, 0x7b0f3521, 0x76c3c6f0, 0x9eed7305, 0xf0e334eb, 0xd67b0bdb,
+    0xc0c2979c, 0xa94cc766, 0x7b3c45d9, 0x04f8d68d, 0xc8a8d21e, 0x8c13098b, 0x9c48b063, 0xe6766450,
+    0x17ead653, 0x821d63ad, 0xcb405abc, 0x93524363, 0xd13033c6, 0xa0374407, 0x141fc808, 0x822f6055,
+    0x5d565783, 0x2da8063c, 0x764d7d7f, 0x84cebd79, 0xf4a2cf62, 0xb9f88e54, 0x11ae89e7, 0xa2c81510,
+    0xead03b00, 0x4be2bec9, 0x09b8d31c, 0x06481a8f, 0x09163989, 0x09cbae12, 0x02e3b59b, 0x8d9304f8,
+    0xc3415281, 0xac91b2c1, 0xbba773b2, 0x1d6d8e78, 0x3bebfc76, 0x51f5c826, 0x9c042ab8, 0xf58a56dd,
+    0xf422542f, 0x0316e996, 0x342199c4, 0x1d1b5df9, 0xe7b7e855, 0x4ae05944, 0xe79c032b, 0xe030370b,
+    0x321d9609, 0x3456d3a6, 0xc8d91b57, 0x6a24149b, 0x0c8e324b, 0x65b27f5d, 0x991fe86e, 0x354a6beb,
+    0xb1588404, 0x6a3ec19a, 0x056afcd3, 0xb6b719c2, 0x1c1db39a, 0x1aa53781, 0xe4ad7979, 0x123fb50f,
+    0x47150fe5, 0xdd809849, 0xd72cb7e4, 0x59c608b5, 0x5a51b07f, 0x3e4b553e, 0xe6cbf89d, 0xf303c74a,
+    0x544e0c5d, 0x0d79e83c, 0x4f20f79b, 0xd2d6a70a, 0x3d88fd3d, 0x7b8383a6, 0x8395a030, 0xffdaadfd,
+    0x09f0e07f, 0xb8df4270, 0x69909067, 0xf6c2b3db, 0x0dad135c, 0x94c816f7, 0x1065d559, 0x99a96851,
+    0x1a6e0651, 0xe8b7628a, 0x7488754b, 0xc271e003, 0x47d47dbc, 0xc452d1a6, 0x34629480, 0x8421fc75,
+    0xd8a1f76b, 0x44da6491, 0x8259fe26, 0x0b7bfefd, 0x825c74d8, 0xee7e0fc2, 0x5444437b, 0x150342e5,
+    0x4f0a2705, 0x5adff011, 0xa8f573b9, 0xc2ebaa77, 0xf7d06550, 0x3f647f8a, 0x6d3ad73e, 0x2ef6c675,
+    0xe06d55b7, 0xb8ee7411, 0x334e072d, 0x93df686f, 0x5edac390, 0xf44848fd, 0x26a2b14f, 0xd6d203eb,
+    0x4bd281ba, 0x15ed1d93, 0xde5077d1, 0xfacca792, 0x759f3d00, 0x5ac5cfc9, 0x88945227, 0x1fccc78b,
+    0x2d197db9, 0x7e86d43b, 0xd4687d3a, 0x9cf7e6c7, 0xb55c2f64, 0x1f9ec32f, 0x52d79fb2, 0x03b20e62,
+    0xfde592ea, 0x6d1e633e, 0x89d946c8, 0x96227a64, 0xc230ae7a, 0x63fe549f, 0x7aeedbe7, 0x035b1d07,
+    0x45cc3827, 0xa21240cb, 0x0fd3be0c, 0xdb728a17, 0x566de029, 0xf7fd4d15, 0x55a8ccfe, 0x667023e8,
+    0x074db8b0, 0xe22dab8a, 0x9965d2b6, 0x4f4c58d2, 0xa7de76f3, 0xf944fec9, 0xdc7a097c, 0x69743845,
+    0x7a6d50d9, 0xbec21c70, 0xdb1f0658, 0xcd8bb28a, 0x21c51300, 0x9010f3af, 0x8101f2c3, 0x537416bf,
+    0x6728c9b2, 0x2d324923, 0x2be2ed2c, 0x069d2f73, 0xb139343a, 0x9e909e52, 0x25e3f01b, 0x5002ab4a,
+    0x817ee519, 0x318fea3e, 0xa18befb7, 0x5386e6a2, 0xc5f62dc1, 0x189f4110, 0x0d1450ae, 0xa32762ac,
+    0xe0aae97b, 0x5e7a64a4, 0xbb54fe74, 0x290fd5b9, 0x3cb24376, 0x5016f4f0, 0xa576b936, 0x45888882,
+    0xddc2f6f3, 0x944f9147, 0x4c2420ae, 0x9ed47e6b, 0x17246b71, 0x95c698a2, 0x110fce7f, 0x08f9a3da,
+    0x530abdb9, 0xfdc90bee, 0x980b1956, 0xc97e2dcb, 0xab96de10, 0x605457bf, 0xc851ab36, 0x4aa576d1,
+    0x6a9e02cc, 0x61f42fdd, 0x9f9d07dc, 0xb3163912, 0x845c8123, 0xf74059c9, 0x20d00897, 0x6849dcd6,
+    0x0a155039, 0x067dd02b, 0x9fbfa9bc, 0x1df804e9, 0x2de894a8, 0xf02ea0b0, 0x5f54a5e1, 0xac7a482b,
+    0x5385fee5, 0xe0d6b4c8, 0xc9b14185, 0x0f0870c6, 0xb9b6d894, 0xf96ffb4a, 0x5c126348, 0x1a0e8611,
+    0x05e50beb, 0x57306db3, 0x1c95120c, 0xd42e7993, 0x105aa3de, 0x53275b11, 0x94454c76, 0x77f43953,
+    0x6db60e73, 0x66661077, 0x79ce6a92, 0x5dd42385, 0xc0ac5243, 0xba500ebe, 0xdb8e5f41, 0x654b416e,
+    0x2bd00acd, 0x1eddee12, 0x39cab9bc, 0x0d260c8e, 0xa0b1601e, 0x37fcc440, 0xf249f834, 0x9e503295,
+    0x536f103b, 0x9df2f5d1, 0x87e8db1c, 0x4aaab199, 0xcaecaf0e, 0xdeb4e34f, 0xab344e5c, 0x9c4bf213,
+    0xdf061859, 0x623da2f2, 0x7489fdf9, 0xadcc1435, 0x98a36f0b, 0x88e3afe6, 0x60ff60a7, 0x825d3019,
+    0xbd22373b, 0xa2b57878, 0x56ccaef4, 0xe84ecb60, 0xc1ab4234, 0x4a1a0a01, 0x4f566ca5, 0x774d906e,
+    0x406acd20, 0x5dfcfa30, 0x69248fb1, 0x1a786ceb, 0x0fee48f9, 0xf5f7db87, 0xde3582cc, 0x657b0ebc,
+    0x2aac48a5, 0x095321e0, 0x3e480297, 0xc01f33ad, 0x0d06432e, 0x1b8b34c7, 0xe4d3eba0, 0xb36f6be0,
+    0x70ea6915, 0x39fdc8dd, 0xd044ac9e, 0x545c80e1, 0x042193ac, 0x99b1c0a3, 0x813f6cf9, 0xab060700,
+    0x15c04f8c, 0x40d3a84a, 0x56cbe9bd, 0x9a3ba2b7, 0xa55b537b, 0x9d781ff3, 0xcad7482d, 0xd246008e,
+    0x5b1ee3fd, 0x40f08347, 0x1259b19c, 0xb9995c9b, 0xdd89e511, 0x274c769d, 0x05bccaa4, 0xe6c39161,
+    0x4b00600d, 0x91522b72, 0x00702c27, 0xdc545274, 0xc445fa37, 0x6f6eeb71, 0x858d91bc, 0xed645c1e,
+    0x1482e77a, 0x75774f7a, 0x90b82f7f, 0x7e5e0347, 0x5379ad0a, 0x1e457420, 0x103e01cb, 0xbe3e41ba,
+    0xe29158c5, 0x34ea8686, 0x91bb675e, 0xdd6879d4, 0x2bf18b24, 0xf50908ca, 0x7fd36d17, 0xbc4b15af,
+    0x7b7faa78, 0x1fb65e2e, 0x4de2f76b, 0x007a1ddb, 0x51780c42, 0xf60e68ac, 0xef66abe6, 0xc3fc4827,
+    0xad067589, 0xb994cd4c, 0x14dec632, 0xff805d3c, 0x7990d8c0, 0x5b4a6a71, 0x2831de63, 0xe5a8c8f2,
+    0x97946f0e, 0xfd2ec7dc, 0xf95c80a8, 0x7e83ab67, 0xa4ba82e9, 0x428fa6fc, 0x45f200a6, 0x9047b0cf,
+    0x6a2185d1, 0x4cc29652, 0x6f26e32f, 0x9a121d26, 0xe7ab2500, 0x5a5a90f5, 0x57f8f533, 0x79cbb16f,
+    0x8efa0b8b, 0x588d14b7, 0xa6cecdee, 0xaf776143, 0x426ebc46, 0x70c9f9cd, 0xc2d6c8ac, 0x47f73fab,
+    0xff1cd379, 0x2ff4c04a, 0x3ea7a209, 0x047a7c1e, 0xe76a994c, 0x749c1cad, 0xb8fd026b, 0xcd806a1b,
+    0xfbf84dae, 0x80f4f888, 0x95b7b8a0, 0x99f7cd18, 0xf343b74d, 0x90ee97e2, 0x5784f423, 0xffe76b1d,
+    0x5e2f3e79, 0xaf1a1fe1, 0xee20c31d, 0xca124fe6, 0x5b814c1c, 0xae054a2b, 0x8b81e869, 0x1ae475e0,
+    0x13454282, 0x2402d8c1, 0x592c3ef0, 0x692b4f06, 0x76a030e3, 0x7c997c0a, 0x7a7ac0d1, 0x1606fb04,
+    0x2cb26b15, 0x3acd8feb, 0x84d61ca5, 0xccd94b5f, 0x3845248f, 0x297d0b49, 0x9ad48a3d, 0x5788ea02,
+    0x8bffc738, 0xb24ca07b, 0xecb2bad2, 0x340d14fd, 0x93eb6b19, 0x938364a1, 0xd225b4d9, 0x01c267d5,
+    0x624bc9d3, 0x522d4b75, 0x597ec6db, 0xf0181b95, 0x50570cbe, 0x905a30f5, 0x0a6c10ee, 0x17549207,
+    0xae19af58, 0x5d9417a4, 0x1273c681, 0x5c042b47, 0x0f1c8445, 0x3a1e4612, 0x31b48f94, 0x6b3a3699,
+    0x335be02e, 0x290bb027, 0x6db0ae6c, 0x7ccd453e, 0xa8312dd4, 0x89cc3ef1, 0x07c2cdd4, 0xd8a6095e,
+    0x43634bb2, 0x299b6f1e, 0x2bb3cf7e, 0x712001c7, 0x2f983eb2, 0x17ea12eb, 0x712f99f4, 0xe5969e18,
+    0x78f0d4d3, 0xe1ec76d5, 0x54e77a6a, 0xeaf466c0, 0xf87a7013, 0xe700f7f5, 0x436242b3, 0x8a4681ea,
+    0x00000000,
+    0x32693a9f, 0x0b25024b, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000022835963083295358096932575511191922182123945984 */
+  { 0x00000000,
+    0x03f598cd, 0x9e2db2bb, 0x55fb2e34, 0x6af8d5dd, 0x8f2a8a73, 0x3806bced, 0xd90134aa, 0x40df5f74,
+    0x3e586128, 0xff57e9bc, 0xcb7dfa51, 0x0d200749, 0x82a1e8ed, 0x6e04235e, 0x1342ad44, 0x5c04b849,
+    0x63cd1273, 0x8cf30365, 0xc13e3525, 0xa6243f41, 0xca8def8c, 0xa27fcfc8, 0xc7201494, 0x35635e46,
+    0xab18d671, 0xaabf3578, 0x5f9e7844, 0x9017d5b1, 0xb47d43b2, 0x05ee0883, 0x17a190bb, 0x5650300b,
+    0x8ae5bfd4, 0x47109e4c, 0x46792e3c, 0x7c2b1919, 0x73852e3d, 0x8d694a74, 0xe927cbfa, 0x82012cd2,
+    0xba8cd92d, 0xc84406c3, 0xa7b17a10, 0xa6c8d853, 0x5b0b9d9d, 0xbca31710, 0xf02f5003, 0x626a1588,
+    0x12100cee, 0x7a9f9c32, 0xf1a05b20, 0xcdf0d7a0, 0x05d18747, 0x35a847de, 0xe8a80ab7, 0xcf77ac95,
+    0x726da8a1, 0x272be417, 0x90d5b35e, 0x3ff21cc8, 0x238d2f02, 0x4aec18cd, 0x3816cd31, 0x9d649134,
+    0x59bc4ba0, 0xda15ff69, 0x4ce1d471, 0x690baf90, 0x7f72dff1, 0x6e5d4307, 0xb1357290, 0x066b21af,
+    0x48f5128f, 0xacd5549e, 0xb13d0ce5, 0x8bac7048, 0xd6656d98, 0x90657847, 0x7033c502, 0xb062abec,
+    0x19137d65, 0x9c980fb6, 0x83e53ae3, 0xb7eec7f2, 0x8b2a9cf8, 0x7a597964, 0xaefa0306, 0x2d05f44f,
+    0xce8e5fb3, 0xcfe46aea, 0x96bb4a3f, 0x58324fdf, 0x6496caab, 0xfe97e3fa, 0xc0bff4a8, 0xf28102c9,
+    0xc95a7f12, 0xd9e0913b, 0x0d5d62c4, 0xf4653d27, 0xc041ab07, 0x1736b3a1, 0x42c596fd, 0xa7794e32,
+    0x346c7326, 0xff3e377e, 0xb9a02270, 0x1aeb94c6, 0x7ff56de6, 0xa7f78f58, 0xef814bc0, 0x87d9ef37,
+    0xabcf23a5, 0xf257f811, 0xd0f6f0b0, 0x93164e5a, 0xcdce331e, 0x9d2a33e1, 0xb53e4375, 0x7f3c9e26,
+    0x852742f9, 0x13d57452, 0xea9566ff, 0x8963febc, 0x6235c5bb, 0x88c6c8bf, 0xf9cfac15, 0xa6f68d4c,
+    0xad1ff46a, 0x6f4f5b52, 0x9e59468f, 0x4b5e935e, 0x214ee95b, 0x2fa28aa2, 0xddd85e17, 0x78761354,
+    0xf4018388, 0x09dc09bb, 0xb9245a07, 0xb0f38c39, 0xfbddb54b, 0x11189ba4, 0xd94429d8, 0x770b94c4,
+    0x418be379, 0xf69aee61, 0x96ccae9d, 0x3052cf5e, 0xe7d75d95, 0x9735db35, 0xb5eee0a4, 0x16ea456e,
+    0x5a2e42fb, 0x832581fa, 0x71039d63, 0x7af2b63b, 0x041526c6, 0xb75de747, 0xa5546935, 0x43f0f72e,
+    0x2f6df81e, 0xc54f54c9, 0xe78e4a61, 0xac831160, 0xdd2496f4, 0x09eb00a9, 0xd6d111a9, 0xd2d8a4ca,
+    0xaf3591fd, 0x3d44cb02, 0xa14b4e5a, 0xcf1e94c6, 0x5b034b40, 0xeab8dfbd, 0xc219b031, 0xb1fcecd3,
+    0xe6781d18, 0xb97d85f3, 0xba5c9110, 0xab7489db, 0x5389498a, 0x3491d091, 0xb2936a90, 0xc37cf8c9,
+    0x1b3bf54b, 0x28f89797, 0xbf5d97b6, 0x4944fa35, 0x4a9c4554, 0xbc467a17, 0xf842fbf2, 0xd01511ea,
+    0x9f74cbfc, 0x23408585, 0x082e6197, 0xeeda1ead, 0xc1664783, 0xa5488446, 0x9aa2310b, 0x6f77cf3c,
+    0x5a5993ff, 0xd645228e, 0x090f185c, 0x7511adb2, 0xfe748d10, 0xaad184f0, 0x20935040, 0xba8d0ef0,
+    0xff2b7f93, 0x05dfc923, 0xcc1fc126, 0xcca96a42, 0x23c1f790, 0xa3ecc471, 0xe68810c9, 0xaf65da21,
+    0x28f35a17, 0xad10aa05, 0x6159dac7, 0x6fbeed5f, 0x0da8cea2, 0x956fd5ef, 0x0383da62, 0xa39ef920,
+    0xf601b988, 0x96501348, 0xb192efd3, 0x5d57acd4, 0xf516f199, 0x41ce52fd, 0x97638188, 0xd6e1daa5,
+    0xd67997b7, 0xd97d2fc8, 0x62abbf2b, 0x9f2df86e, 0x2f09dec1, 0x754bdd2e, 0xec61ba88, 0x09c6d873,
+    0x8b0ddc8c, 0x8157bc99, 0x8fa3575f, 0x69ef14f0, 0x1a7fb432, 0x84bf241a, 0xa73cf1ef, 0xeef23340,
+    0x0c83acaf, 0xe2b3ab34, 0x1ed7684f, 0x31b179f5, 0x2e36ba5c, 0xfc66fe61, 0xe9f5ac52, 0x51f02fc3,
+    0xb724454f, 0x5892f909, 0xfa79717c, 0xdcc86012, 0x4911d1bb, 0xfdbabab3, 0x3e904b07, 0x27f3e9c3,
+    0x3cb7eb5f, 0x2adab36b, 0xd8c0a44e, 0xf2d48f4f, 0xef763a1b, 0x77cf8312, 0x71f6f35c, 0x22f4e6bd,
+    0x4f7bb191, 0x94b74639, 0x8cdd1dff, 0xaaabc102, 0x7500ab10, 0x0a94e8e7, 0x556219e7, 0x047ec2ef,
+    0x6692d1d2, 0x062d2cda, 0x64d8857e, 0x7eb2f5d2, 0xa3d9f91b, 0x3b16c460, 0xf08c46b7, 0x8757222c,
+    0xa6f5a82c, 0xee09fbf5, 0x38168682, 0x4125ce62, 0x58d92da5, 0xfbd539e6, 0x600c4b39, 0x3738b323,
+    0x2ab842cf, 0x8dce7fdd, 0xb8d011dc, 0xd1e58669, 0x10a9539f, 0x1d790573, 0xc0515dfe, 0x2a2df0fd,
+    0x3aa65f0b, 0x3f56cb95, 0xd8f1d6d5, 0x979640f0, 0x77b7b6b5, 0x24a32779, 0x8f38a9d3, 0xe8209a5d,
+    0x8ccf92e0, 0xb75eba15, 0x848f3139, 0x9e63a166, 0x119fa8b5, 0x47bb1cbd, 0x567d78f7, 0x42d40289,
+    0x03b511fa, 0x0113e6ca, 0x46e1d47e, 0x95fd73e1, 0xdd26bde3, 0xa878814c, 0xe7f8872f, 0x7bc3fa00,
+    0x40ed8b02, 0x0fb413c7, 0x55f43144, 0xe58afe3a, 0xfdaeadb6, 0x3deccc4c, 0x65ec7e49, 0xc39be3c2,
+    0xa9d725d7, 0x8bb98ee0, 0x81666c9f, 0x3d3b4184, 0x69b70b43, 0x68e764f1, 0x29a69b90, 0x5bb1ecdf,
+    0xa8031b79, 0xb3d59ab5, 0xc85875d9, 0x6e6cd711, 0xa22acfec, 0xbc11a5d4, 0x298ae0a9, 0xf1073b85,
+    0x755ad048, 0x22445b4d, 0xb6f2e1d0, 0x897c76b1, 0xf44b41c9, 0x3bcf3e26, 0xe900092f, 0xf36d553b,
+    0x9ff154cf, 0xc037d873, 0xe1903068, 0x2b7b29b3, 0x65bf4554, 0x62889aa2, 0xd4cf6348, 0x7f821168,
+    0x956b9681, 0x8ad7d241, 0x7b20e5d2, 0x23a70394, 0x89cd68f1, 0x8fa4245c, 0xe50c4dab, 0xe84fd6cd,
+    0xee6bd616, 0xa96975f1, 0x05a73aa9, 0x62f99165, 0x1cc196f1, 0xb5715f46, 0xbab431b2, 0x6bb59ae7,
+    0x3b29cc24, 0x882e88de, 0xd0549958, 0x5d88ab9b, 0x60b7a646, 0xbfd72fcc, 0x3c3f29ac, 0xe77c4497,
+    0xf270e384, 0x003440f6, 0x62bd415b, 0x32d0c265, 0x0686cf0f, 0x61f52070, 0x29a5bf0d, 0x05bde7ff,
+    0xbf2bb11e, 0x9846d37e, 0x11396305, 0x573e031c, 0x80e32749, 0xcd2768d2, 0xfdfdffca, 0x408effa3,
+    0x143dc4ee, 0x6d1529b4, 0x0a32f2af, 0xd9dc456b, 0x84f675b7, 0x854650a1, 0x1d3156c7, 0x13ecc963,
+    0x132ba060, 0x847a416a, 0x260af206, 0xddd1d111, 0x47a0ef8f, 0x7721741e, 0xfaacd5fb, 0xa8b94350,
+    0x4091f9c1, 0xb7100e01, 0xa01a1d19, 0x74e95a13, 0xb27374aa, 0x3f7a17d6, 0xa9690adf, 0x19ec3af1,
+    0xcd5c2a78, 0xeca01e91, 0xc9577f28, 0x739c1be7, 0x70a66602, 0xe369cafd, 0x79be4374, 0x9e1acb8b,
+    0xde843c6a, 0x273ece5b, 0xc471e8b0, 0xf0ab4901, 0x53f4503b, 0x27b11797, 0xb4ffd5d8, 0x6279f934,
+    0xf309a16c, 0xdda42d4f, 0x3b515e7e, 0x4159a3f0, 0xf084ebe2, 0xf4af3cd8, 0xa05beec1, 0x5561220f,
+    0x198d2a07, 0x6aead2b2, 0x5f55608a, 0x6c79b020, 0xd54ac460, 0x4137de44, 0x1f59650f, 0x16f33f10,
+    0xdf4a8d1c, 0x0b531efe, 0x86f2d342, 0x8acf79dd, 0x050cfe8d, 0x6389b58b, 0xec03ae1c, 0xd0784786,
+    0x14d2a4b0, 0x61eeae25, 0x54298420, 0x9fb42bbc, 0x0475cb26, 0xfb3db398, 0xa6e48c36, 0xe778783e,
+    0xd522f318, 0xeaf37398, 0x47668ca3, 0x62c1698d, 0x43fe911b, 0x7d240f50, 0x7d594031, 0x1efc3156,
+    0x0509b6cd, 0x76d744f9, 0xf39df766, 0x66bbb328, 0xe8cd7d71, 0xa87a0367, 0x695bbef4, 0x4e8da7b3,
+    0xb3f79fe6, 0xf1565ac7, 0xf93eefd9, 0x8380c3e2, 0xb8f15bb7, 0xe604f708, 0x306ddf87, 0x1fdb0bb7,
+    0xead49cc1, 0xaa5c4b75, 0x3aaa1264, 0x0678cf80, 0x3aa20ec2, 0xcb8337b7, 0x5f04a15d, 0x808ee299,
+    0x6f7b023f, 0x44227d88, 0xa5f39f0b, 0x642e281c, 0x6ad8a440, 0x3a96f29f, 0x40bb7bd7, 0x6cd1dfa6,
+    0xa16efad0, 0xa7f14966, 0x2ea8cab2, 0x8154109b, 0xbdac17c2, 0x3702c210, 0x955928b2, 0x7f998a03,
+    0xc28ad897, 0x561d3301, 0x99334349, 0x3f99aa49, 0x7ae01665, 0x29f1cb25, 0xb2bb9480, 0x263b8502,
+    0xb990142e, 0xa04d511a, 0x0bd3a07b, 0xab38ef9d, 0x7cb191dc, 0xdd8e6b40, 0x9bb649bc, 0x445251ff,
+    0x524e87ba, 0xdd17ddf8, 0x19fb901e, 0x0ec7a56a, 0x4120aadb, 0xca66a83c, 0x47d8f145, 0xa5c34c7e,
+    0x96213d54, 0x9e411528, 0xb3089a2f, 0x8c79ee6a, 0x7fd1f4f8, 0x59a3481d, 0x5f107708, 0x98638521,
+    0x9d7c4cc9, 0x41e21dba, 0x55576b05, 0x59f46185, 0x32d1a01d, 0x92dbabd1, 0xe94af43e, 0xb16b259d,
+    0xdf504a28, 0xa17e5c2c, 0xc42b9a8f, 0x8badfeec, 0x5acb196d, 0x43118f6b, 0x7a2fd096, 0x273b8404,
+    0x1dcc0e83, 0x75fe28ed, 0x5f090cf4, 0x07168309, 0x268200a4, 0x9017b922, 0x7db8471d, 0x38b8f767,
+    0x25547ab2, 0xdafa26de, 0x76fd4ee7, 0x91cb9ad8, 0x53dfa7ec, 0xcc2f0b10, 0xc6e42d3b, 0xcea48a2a,
+    0x568349aa, 0x80a1b8a5, 0x15ce683b, 0x63ac35d1, 0xaa00711a, 0xe87d7b44, 0xbf098f15, 0xc51c8334,
+    0xf0b17f77, 0xadda6203, 0xdd811940, 0x85621058, 0x2e1a6eb1, 0x7c3c3592, 0x9234aa97, 0x840f0bb4,
+    0x67e68c31, 0x8561774e, 0xba95e839, 0xa0da10a3, 0x4aad47d2, 0x08786e46, 0x8d1784ca, 0x751f28b6,
+    0x79961955, 0xa3310ef8, 0xd30a70ff, 0x8bd6509d, 0xfe3e7991, 0x360c3e43, 0x72f0cf3b, 0x756b8b69,
+    0x86a07ef2, 0xfe7b3991, 0xa6780f74, 0xd1a9d411, 0xc4c5f61e, 0x9dbf9ed7, 0x18f7f0a2, 0x01db1045,
+    0xc0a4548e, 0x97387405, 0x176b4be1, 0xd65983f8, 0x2b427343, 0x1f190326, 0xd25e7ade, 0xd1f03271,
+    0xce89f81d, 0xea6c27e2, 0xb6182e10, 0xef4e4ae1, 0xc7b4ac4a, 0x26eb34f9, 0xc118e950, 0xf3c3067b,
+    0xd94879c1, 0x6a8a83ce, 0x25665ecf, 0x4f4b8867, 0xf3f28f51, 0x693219b5, 0x4aca1cea, 0xc2913f59,
+    0x6114e96e, 0xfceaa081, 0x21c51a91, 0xc3afe717, 0x6221fbc6, 0x19e19384, 0xdab50d6a, 0x84ce5214,
+    0x399a2976, 0x0dff6db3, 0x6e336296, 0xa7e2cbf2, 0x4728aade, 0x9eca01f4, 0xbbc9caf9, 0x739f3a43,
+    0x3cbf8fa3, 0x7e8d0983, 0x17c1ab65, 0x409bb5dc, 0x6c0be726, 0x0812748a, 0x8bd24376, 0x9a57aef3,
+    0x2677ad8b, 0x6bf4fbac, 0xd074af52, 0x7499b5c2, 0x2a785317, 0xcb4db010, 0x12689c60, 0x27cad8ab,
+    0x1021c6d8, 0xe4c1b32a, 0xfd90c8c5, 0xa8b2a225, 0x552df1ed, 0xc754e151, 0x68936f68, 0x6400afad,
+    0xf073656c, 0xde4060f1, 0xd82bc8b8, 0x0653a7bc, 0x7313d075, 0xdfb7aa89, 0x8492d4cf, 0xfb704838,
+    0x65fce837, 0x889e7295, 0xd6a76c67, 0x2740dded, 0xead2b302, 0xb2e7553a, 0xc283a92d, 0xf6d785c3,
+    0x877987dd, 0xe33b560a, 0xf4486b0c, 0xaea7b3dd, 0x95bea19c, 0x038aea66, 0x5ffcdea4, 0xe0c561f9,
+    0x6c9addb7, 0x8eb89aae, 0x50b070d2, 0x57895000, 0xfa9d00fe, 0x75b98ed1, 0xb4e16797, 0x51255013,
+    0x5ffdab8b, 0x506b56ab, 0x5d5733ef, 0x84aa104b, 0xd9d69b4b, 0x84166f43, 0xfd1f8a60, 0x39b3a22d,
+    0x01b715f4, 0xc079f8f9, 0xe8ec4c72, 0xeff22084, 0x09c48b5e, 0xb88d8ebc, 0xbfd923ea, 0xf7d29324,
+    0xa3ff35a1, 0x14cfa2c7, 0xdc0691d3, 0x0bec86a9, 0xd4cfee61, 0x7e3ba545, 0xcfb0ba5f, 0xeb0abd25,
+    0x6c48326a, 0xd8664026, 0xfedf5aa4, 0xf881a42c, 0x79e2554f, 0x24f737ea, 0xffaf15d5, 0x015a210b,
+    0xa7ee8eb8, 0xde556e35, 0x1cac10b3, 0x89c9d38a, 0xda7b0f94, 0x2705bc76, 0x278f7dfb, 0xc534f04f,
+    0xa6bab795, 0x71cf958f, 0xf5a16608, 0x078a8238, 0xe7b3ba63, 0x61bcb3cd, 0x539aa79f, 0xff67fabd,
+    0x269f1c0c, 0xe1c0f5b9, 0x479f9ed4, 0x97a40f05, 0x10d3f201, 0x1b4fcf99, 0xb9b6e93b, 0xdf1da94e,
+    0x19cbd9ea, 0xdd4b42a0, 0xbc26f04e, 0xbb127c6d, 0x5f7254c0, 0xbd5c142f, 0x2e4b5016, 0x7f7c9b99,
+    0xd9d56544, 0x44ae2993, 0x9ceaea8c, 0x0ca7be6f, 0x2fc010c6, 0xef3fb517, 0xe51e5c6e, 0x7699d5e9,
+    0xba1cefb1, 0x6da68dca, 0x8c2193e3, 0xbd01aa1a, 0x18d173fb, 0x338b4b08, 0x9336e29f, 0xad93a9db,
+    0xc32c7048, 0x4ddf6802, 0xe6239509, 0x84833f36, 0x6c7eaf37, 0x092bb995, 0xf3bfc8ed, 0x0daa4d90,
+    0x742a57bb, 0x3b0e4562, 0x1d312041, 0x90312e32, 0xf847d166, 0x4043dca4, 0x993e4c8c, 0xf48b5dd5,
+    0x775d4846, 0x2ec6c003, 0xdda15180, 0x1b5ddd31, 0xb5c02eee, 0xb669176a, 0xe07ea359, 0xd882b211,
+    0x139e1729, 0x83fca36f, 0x6fc378b5, 0xde4977b3, 0x32f72ec4, 0x24aa3b78, 0xa188fe52, 0xc4546cbf,
+    0xeed82915, 0x31d777a6, 0x2c706d1d, 0x7171def4, 0x59ec8a62, 0x9b53a22b, 0x9ec89885, 0x274b0bd0,
+    0x1c48705e, 0xf9925383, 0xb0ea3f4b, 0xe713513c, 0xbbb9a4a1, 0xa63dfa8c, 0xd638d555, 0x0c9ab90c,
+    0x893a46e2, 0x15d12a91, 0x35490388, 0xac00ff20, 0x120e3533, 0x2285b480, 0x1d20431b, 0xb32d98fe,
+    0x258dfe83, 0x3ca9939e, 0x853ae775, 0x97d95e57, 0x1f44b273, 0xfba1cb8d, 0xe750d0a8, 0x3dc524a5,
+    0x10e4fa20, 0x0465f999, 0x78abe083, 0xe2852562, 0x4b87cfa6, 0x102eadcf, 0xd667fcaa, 0x4db9ab38,
+    0x0f49086d, 0xf0ed936a, 0xfb46fe6a, 0x07ea7a18, 0x383eb100, 0xcaffdab5, 0x6d6fdb21, 0x1099e491,
+    0x8c7037f0, 0xaf9e7fe2, 0x2d727448, 0xe56315b7, 0x1d8a9ecc, 0x48c64f21, 0xb73eadeb, 0xc67210ed,
+    0xd218e3be, 0xc9a3ab07, 0x535849f4, 0xb395f7f6, 0x14436e87, 0x85d057dc, 0x78db0dd4, 0x6f14bfbb,
+    0x40dad11d, 0xb686c24e, 0x88c8c8b7, 0x2411ec39, 0x081007fe, 0xf0272499, 0xd3a106eb, 0x5d2f6e12,
+    0x3d577387, 0xd4c18ad9, 0xb797ba67, 0x70b0148d, 0x28b67abd, 0x88c8f019, 0x0d8564fb, 0xe6f9ae95,
+    0xcaa863c5, 0x71ca2f8b, 0x902842c1, 0x721df884, 0x54d01e39, 0x9886dd9c, 0xf3a98133, 0x0e3e5c89,
+    0xd01376d1, 0xa067c88a, 0x6ff4556a, 0x7bd268c2, 0xb8c770cc, 0x8a52a954, 0xbc6cf7df, 0x3ea2bb86,
+    0xb490edc0, 0x4a69d49b, 0xcca0a1c6, 0x6c9353e9, 0x1a56696e, 0x49e0c0ee, 0x0299507b, 0xcd5d44d9,
+    0xd99616f2, 0x20a2df0e, 0x76c0226a, 0x47dd13e7, 0x4cad0805, 0x64a9209d, 0x3db0e171, 0xdfb36243,
+    0xc0d4711d, 0x43e88c74, 0x5ef0fcde, 0xb6a0a504, 0x92b71904, 0x77cd2caf, 0xf2717b4c, 0xed3f23e6,
+    0x41ff70e8, 0x58478ef5, 0x2e1e5ac7, 0xf24f11a2, 0x5f7b4ff6, 0xed63c1c5, 0xff868ff0, 0x5828e6c1,
+    0x445b5677, 0x95df8e40, 0xc649dd16, 0x48b4def7, 0xf31814dc, 0x2dc14766, 0xfb3444ec, 0x078687b5,
+    0x9b758dcb, 0x6374a7f0, 0xb52caeb4, 0xad7df360, 0x44f2e43c, 0x9da21137, 0x141dcc73, 0xec0f69ca,
+    0x42b0bc66, 0xe6191e9a, 0xb2b735b0, 0x632c86aa, 0x7ed9feb6, 0x9f5a2fac, 0x24e24639, 0x93b3a8a3,
+    0x1d7c2808, 0x26f1d9d9, 0xcb92df25, 0xd3f90869, 0x5bd05ded, 0xf8639af0, 0x05028d47, 0x1bcd5a44,
+    0xa8e897d8, 0x2f44a6eb, 0x44a8580d, 0x783b6850, 0x61d160bb, 0xe643462a, 0xb01839d9, 0x8509dde8,
+    0x00000000,
+    0x99349d4f, 0x05928125, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000011417981541647679048466287755595961091061972992 */
+  { 0x00000000,
+    0x942ba7c5, 0xb3b4ec02, 0xc79f3cf3, 0xd8876470, 0xaf40e849, 0x4bae6ee5, 0x80eee66d, 0x420f0b44,
+    0x7ab82c07, 0x27282562, 0x696c480b, 0x0dd8e145, 0x4044636a, 0xad636578, 0x45bfc58b, 0xd583512d,
+    0x24c1a38c, 0x199d60e5, 0x7fd27bcc, 0xc300bb34, 0x280f5765, 0xaf31ec3e, 0x0425f1e6, 0x75621af0,
+    0xaa948a59, 0xde63aae0, 0x7ee232c1, 0x31ac69f1, 0x43d7e053, 0x740da37d, 0xef7d48e6, 0xd7c440c2,
+    0xf33e3fae, 0x445910e5, 0x97287dd0, 0xae3f2001, 0x26050d15, 0xc689f487, 0x6d399438, 0x568fc752,
+    0x4f075d68, 0x21d03f40, 0xfdb5e123, 0xc77f6933, 0x663a4ab5, 0x008af049, 0x44834d7f, 0x5980b835,
+    0x73b58878, 0x4fc5ffcf, 0x13c938c8, 0x0b151d5a, 0x0bd37d99, 0x0b12cf0f, 0xc39e8d4e, 0xedcd8e68,
+    0x4349502d, 0xa74010f7, 0xa273dfaa, 0xb95fbdf3, 0xfdd9f10b, 0xbbdb7c3d, 0xa9df22bb, 0xcfcdac42,
+    0x6465a474, 0x8fc6e0b8, 0x9578ab6f, 0x1957356f, 0x98b94d59, 0xd216506a, 0xc3160f29, 0x84564001,
+    0x6c25dd2e, 0x3834e2f6, 0x65feabba, 0x183b14ba, 0x42120d04, 0x3b0ec3a2, 0xf0144d9c, 0x6d9cac2d,
+    0xb2387817, 0x04f6644a, 0x9f7d5efc, 0xcb14c93e, 0x8495c6a5, 0x53b9b9db, 0x7cb89363, 0x85b60cca,
+    0x269d358e, 0xfcb43389, 0xd37427ba, 0xd724089f, 0x31c1d868, 0x26b494a0, 0x3c640434, 0xed0769a5,
+    0x0cc348ae, 0xc24fd178, 0x753ce181, 0x048c1393, 0x0c2f7625, 0x19bccfa3, 0x71a8f73d, 0x1c93261e,
+    0xef120736, 0x80bd075f, 0x1494a54e, 0x0955836c, 0xf231af02, 0xb246e896, 0xc9db705d, 0x1b24fd0f,
+    0xcc2349fb, 0xc053796d, 0x29fc2645, 0xe93ed587, 0x561246ed, 0xfa78d4f5, 0xbc4823cd, 0x235389b4,
+    0x28747a1d, 0xe4b3be97, 0x644f4be8, 0x77d54576, 0xf1576a38, 0x50790ace, 0xd0ec980c, 0x03d70d1a,
+    0xbbe90b5c, 0x72d04538, 0x3c0cb988, 0xe5b11e31, 0x3e7fbb5c, 0xa8e57c6a, 0xf6223416, 0xb3069e4c,
+    0x6fc884f8, 0x82af07a3, 0x10df89ca, 0xba1df9c7, 0x42cafee9, 0xb1ce0113, 0x11336ec1, 0x95b04243,
+    0x14e6a183, 0x6cabf94b, 0x7b2a8408, 0xbd47fe61, 0x281a25ac, 0x9daa0af5, 0x988ab037, 0xc658d9e7,
+    0x4a20c386, 0x58ef76a7, 0x88d77439, 0x26dfc09f, 0x562daa18, 0xa824dbcf, 0xbfc2b3dd, 0x34dbbb4a,
+    0xbe48ce6b, 0x6e4da6fc, 0x1b99fc72, 0x891d40ee, 0xf4bbf728, 0x01bddbba, 0xde052458, 0x03f7f6e1,
+    0x1f89f464, 0x690f3bdc, 0xf74c3e67, 0x5603d128, 0x40250489, 0x5da97f6d, 0xc00c9796, 0x060346e5,
+    0x2cbdb127, 0x459c9d1d, 0x69693e78, 0xc9362084, 0x1f50235d, 0x0f00211e, 0x39ee90c4, 0x26ade99f,
+    0x9e12b1fe, 0x2859bae9, 0x28a2c024, 0xd667afbf, 0xafce4bae, 0xea74eb60, 0xe9031d58, 0xfa891a8f,
+    0xd8c2f298, 0xa1415c8b, 0x13511ca8, 0xdbc0437d, 0xdf8df6f1, 0xa9cea396, 0x32f22868, 0xcd8be88a,
+    0x00faf47a, 0x0df800cf, 0x3aefca7b, 0x767b354b, 0x3a9cf4ef, 0x1bf20812, 0x8cac2083, 0x4360226b,
+    0x457e0020, 0x0dcea688, 0xfe0d085a, 0x87360a15, 0x0a24e3fe, 0xc7ac5cd5, 0xe13bfa76, 0xd7921df9,
+    0x9d45a40f, 0x2dd28c53, 0x6eca47c5, 0xa99b3854, 0x1f25fe5b, 0x69a8d57c, 0x8d9d32c5, 0xdc8235f5,
+    0xfb9528b1, 0xa2913eaf, 0x374d853d, 0x98ab9eaa, 0xfe6c97bb, 0x123eb834, 0xbdbb03de, 0x0cf43568,
+    0x707c86f3, 0x2d816019, 0x0d3d2107, 0x9d94eb66, 0x21983c75, 0x75a0c84d, 0xa7b77a56, 0xbf105c27,
+    0x08751cfa, 0xcf9185e5, 0x6420ea2c, 0x0cd64422, 0x5f77f189, 0x880134ce, 0x4dc3f0bc, 0x83b03291,
+    0xa85514a6, 0x2fd0ec75, 0x0e954108, 0x486f0fb1, 0xfb9a6135, 0xdb1ca664, 0xbaaa6bce, 0x82173456,
+    0x120ce4d6, 0xc36cd3e4, 0x65158899, 0x0ab26d66, 0x9c2e3f2c, 0x3876592c, 0x159dd2ab, 0x6a4a8e0a,
+    0xb67e0e24, 0x28e1d360, 0x94a4e8fb, 0x780bdbab, 0xbc238ddc, 0x2a4be761, 0x6d3dc356, 0xa2576c75,
+    0xb19f1152, 0xcaaf54f1, 0xbc8978d9, 0x283b9acc, 0xd3816af0, 0x9ebba19e, 0xf8a6bf45, 0x1eadb9a9,
+    0xeb2014f5, 0xee70f615, 0x5d1d75a1, 0x5d3e8254, 0xe7085049, 0xbe0bae52, 0xc094d6ae, 0xeac8412b,
+    0x1a51ab15, 0x289ec3c0, 0xfd1a56a3, 0x38eb39a4, 0xe21a8ef2, 0xb374593b, 0x584f956a, 0x265d01d2,
+    0x4fe896d6, 0xb754b7ac, 0xe3e712f8, 0xa1c5491b, 0xc82b2bd6, 0x1a589feb, 0x8839f177, 0xc7c1cf79,
+    0xe89c6bff, 0x66fd709f, 0x8b4422c7, 0x052c5357, 0xa1fb00ba, 0x827ffbf6, 0x3376e0fa, 0x19a13187,
+    0x366aed9f, 0xa04729ba, 0x41b41225, 0x12f97b22, 0xc4897277, 0xabc2fd26, 0x987ef994, 0x00576a9c,
+    0x6c79bd11, 0x24ec3761, 0x015ac72e, 0x1446b5af, 0x4be02df0, 0x896d9900, 0x0488fcb2, 0x0d5e00db,
+    0x69c47be1, 0x330e1ced, 0x89945fc2, 0xe1620591, 0x85d6c237, 0x9fb42a68, 0x5ad2d49b, 0x93443d5e,
+    0x1bfa7cfd, 0x786df06b, 0x453f3ace, 0x73d77ba1, 0x33a0d944, 0x573b93c7, 0x56b423ea, 0xa6559fae,
+    0xeec533ad, 0xaf401270, 0x3a7c9577, 0x0ef9dcc5, 0x0f23c449, 0x1eea5d91, 0x739f9f67, 0x24b70290,
+    0x9ebc361d, 0xbea5baa7, 0xf8bae25d, 0x470af04c, 0xc448714e, 0x5a9d2b48, 0x02c3ead9, 0x5a7bfdc6,
+    0xfa8ca8f4, 0x2472be32, 0x31fe6b42, 0xa0f7d3bc, 0x07eaf385, 0xdd459853, 0x989330ae, 0xde5f8662,
+    0xaddefad6, 0xf5a79ee6, 0x4c208f81, 0xb9cfb0ea, 0x9a360ea9, 0xf22483b4, 0xd28c1244, 0x49d4f4e6,
+    0x75bf985d, 0x60e2a89f, 0xd0d29521, 0xef3d2b8f, 0x55ae8e36, 0x3bf3ba9b, 0x96473aed, 0xad435291,
+    0x6266e0db, 0x96f05aa2, 0x4b791835, 0x9c3bb2f4, 0xd4834b0b, 0x3123a3fa, 0x04219290, 0x87e7eeae,
+    0x7838cc51, 0xa5552c0d, 0xfe5ce25e, 0x8a39d598, 0x90892fb5, 0xe4f84cc8, 0xc41f22e7, 0x795de606,
+    0xb15be812, 0x95d991c1, 0x0dda6014, 0x8a65cc76, 0x57aa6618, 0x94132c30, 0x1f8fbb8f, 0x7634e0a7,
+    0x3c151b34, 0x6c3dd50a, 0xd35fa237, 0x4652cbdc, 0x1d366c74, 0x44270054, 0xf987789d, 0xb9d39e18,
+    0x77832f03, 0x60adc389, 0x0cc597cb, 0x5a375dac, 0xe27e464a, 0x103f85ab, 0xb063ec22, 0x57a8fc42,
+    0x96dcaf15, 0x0f74ecad, 0x8777bb83, 0x9372e5d8, 0xe86e0b0c, 0xfc6e0904, 0xe3fd19cc, 0x37e57916,
+    0x80bab5c6, 0x8cd5aa11, 0x375debda, 0x6803b7f5, 0xfb3651bb, 0x7b250a8f, 0x93c8d7e3, 0xdece1c0d,
+    0x8874b4b1, 0x43941d43, 0xbac7c6da, 0x7284fde7, 0x922ee204, 0xacaa8e3f, 0x448e1790, 0x9378edca,
+    0xb46e266a, 0xdca42a19, 0xf2cfa2c0, 0xb85bb960, 0x07c30266, 0xe704bab4, 0xd0da2ac2, 0xc36af977,
+    0x380fa57d, 0x4632f9bf, 0x9d8b2b1e, 0x0007289b, 0x470e830e, 0xe9e964b2, 0x1743360f, 0x709830b4,
+    0x80f6919a, 0xcc6878e9, 0xee5a58e1, 0x83676647, 0x7441915a, 0x1c13ffad, 0xdf1764fb, 0xb611e02c,
+    0xff3fe5e6, 0x66aede58, 0x3e89eb86, 0xe6d18882, 0xa10fadf7, 0xb36a7d50, 0x0b46b2a7, 0x64ead61f,
+    0x3855c1ac, 0xc3c62350, 0xb5e3a344, 0x6125d1f9, 0x0187ca1e, 0x6f284308, 0xb8087871, 0xe388def2,
+    0x6deec917, 0x684cd0fa, 0x0dad2c2a, 0xda273d4f, 0xda52a344, 0x2bdb7250, 0x995edeaf, 0x2a100d5a,
+    0x3198ce46, 0x3410a9b2, 0x44a6e85d, 0xe39aadb6, 0x9b8e442c, 0x98808145, 0x57b6f69f, 0xa88e0366,
+    0x1f9791e3, 0xc2b76932, 0x64543478, 0xc4c0bd30, 0x051499c4, 0x3759db90, 0xae8c103d, 0xc7dc2e29,
+    0x57ced731, 0xfa907daa, 0x18071f5d, 0xd27bfc1e, 0x127e5689, 0x9f85237c, 0xd1741599, 0xe2d8c308,
+    0xe5922dc3, 0x924eba7f, 0xd893a88b, 0x88be69c6, 0xe4dfd7cd, 0x52141b1e, 0x059ef3a2, 0xbaf6dca3,
+    0x3b7e3177, 0xb801822a, 0x7a60ee9e, 0x6e7e27de, 0x3e8b6ffe, 0x3b572ecc, 0xde65b834, 0x62172918,
+    0x5b78a280, 0xfc687030, 0x72fc1ca4, 0xfb394887, 0x4020e4f5, 0x958422db, 0x62c8c78f, 0xc7b58c5f,
+    0xb8b36379, 0x80488806, 0x0a1cb487, 0xf04f1fe2, 0x1be2575c, 0x4859421a, 0x8e008ca9, 0xfc045ece,
+    0x5b7fdb5c, 0x16fb5763, 0x4c7bebde, 0x3d300904, 0xf3f09932, 0xdae52a0a, 0x5f018103, 0x9f2abae9,
+    0x58231277, 0x0488051d, 0xe3afd693, 0x069909b5, 0x363ec98c, 0x6d970d57, 0x85954a90, 0xfbbcdbd8,
+    0x6d6d8aff, 0xdb9d632c, 0x5e2e7ede, 0xd10d2e4a, 0x4859e58a, 0x2cd78f31, 0xb736b3ca, 0x439bf08e,
+    0x878904a0, 0x75bd96d9, 0x9aac69c9, 0x8c42d831, 0xd2e87aa6, 0x0d64f708, 0x1d4018e7, 0xe469edfb,
+    0x9f79c285, 0xa0fbe69c, 0x386c288f, 0x03891cd8, 0x02cd1885, 0x1a503534, 0xb3ac513d, 0x8e730534,
+    0x0bc498a1, 0x9d6da283, 0xef63ffbc, 0x508af573, 0xd6e563cd, 0xf077b68a, 0x9e284510, 0x42b97115,
+    0xcb4c4306, 0x0336fee3, 0x21956544, 0x93a7ec8f, 0x24195773, 0x00dabb1c, 0xf1525c5c, 0x18e6eab6,
+    0x19dc3caa, 0x3293cf0f, 0x2a51fccd, 0xb172fb6a, 0x28dbed66, 0x2be8a5b9, 0x318e3ead, 0xbae70248,
+    0x4cdd5154, 0xf2ad5823, 0x6ce5fd92, 0x466be559, 0x4efccaa6, 0x6e80d0fe, 0x742afd8c, 0xd42b6dcd,
+    0xe7aa5a15, 0x09130f0e, 0x31dd2614, 0xc9b1c8d4, 0x321d9f59, 0x5c82a71b, 0xfa7b0867, 0x7302b997,
+    0x91cc14d1, 0x8196df70, 0x04521cf3, 0x41af7af9, 0x87aa3533, 0x8449d8d2, 0x426c5949, 0x7af649ad,
+    0xe9670d16, 0x4676db5f, 0xf7233ebf, 0xec42039d, 0xed88ccf9, 0x1f7b436a, 0xf90d679a, 0x03bac202,
+    0x4e4aaed9, 0x65a2abd0, 0xf991ead9, 0x4e349b2c, 0x105f61dd, 0x4a3e1d13, 0xbe18ffa1, 0xa7da6e82,
+    0x56ff4bf8, 0x0d57cc35, 0xb3ed09a5, 0xcc06eea2, 0x8fa41960, 0x8b4e475b, 0x734ef8e1, 0xc9b0143f,
+    0xed96b394, 0x23745c88, 0xa2b8baf9, 0x87d29b1b, 0x5742f4dc, 0xb5825c1a, 0xc7e04b6c, 0xd81b144e,
+    0xcb7b5e45, 0x630ab6bb, 0xdb0fe53a, 0xfd455ab3, 0x1263ea00, 0x5e492112, 0x28aca391, 0x54093d26,
+    0xde590bad, 0x2fe01af4, 0x0b031e15, 0xf277362a, 0xa3b19172, 0x1c9ea775, 0x832c7f12, 0x956a10f9,
+    0x9953dfc7, 0xfc0d602d, 0x052941ed, 0x32d074a9, 0x01fc073f, 0x470d781c, 0x10af0a4e, 0x5e3e3e6e,
+    0xe655fde9, 0xbc34a667, 0xd4182823, 0xc1b0f5cd, 0x5456c595, 0x329217d1, 0x37cb29ac, 0x6d001352,
+    0x433dc601, 0x2391b9e3, 0x9ee6444b, 0x2485bc9e, 0x19b7da09, 0x3b784d27, 0x2fd17de8, 0xbb430bbe,
+    0xfa6a72dc, 0x17d09aa4, 0x1da401d1, 0xd08a2dc7, 0x94278c12, 0x8e98e67e, 0xdf7d79bf, 0xa4eca65a,
+    0x199e4dee, 0xd16d1d5c, 0x49227c2d, 0x74481369, 0xf788e54d, 0x26e8784c, 0x49d667bb, 0x4f868519,
+    0xbb2a7b9e, 0xf854e45d, 0x616f1ab4, 0x8161d37c, 0xf91ee123, 0x4db18d23, 0x34b0a4c1, 0x3e6f9055,
+    0x9429d31a, 0x721993be, 0x66ca16ca, 0xff355931, 0x58e2af7f, 0x026b3c4e, 0xd99ddc87, 0x610fdb32,
+    0xc42f8b1c, 0x233e0f72, 0xcf5f2c2a, 0x4f558252, 0x64ef016d, 0x24e873f8, 0x5f180315, 0x2dfdb123,
+    0x5357a85d, 0x84314a8f, 0x0e2416ee, 0x72a53b62, 0x2c4ce0a9, 0x10decdbc, 0x20a79dc4, 0x18851220,
+    0x7b618c0a, 0x553f4ba1, 0xfa4408bb, 0x66a1eb1f, 0xa476bd06, 0x28b47897, 0xb51ea51e, 0xe7f1f662,
+    0xb69a2a29, 0x414d3612, 0x9fb3cdba, 0x03d45d64, 0x0608d3a8, 0xa07330cd, 0x1acda454, 0x500f0f2d,
+    0x4debe129, 0x0d6aedc6, 0x45954b04, 0xdb32cbc9, 0xdd039271, 0xc99ac8c0, 0x4a98d06b, 0x4fedff87,
+    0xa958f5eb, 0x2eb971cf, 0xa4111179, 0x9e5c2dd5, 0x36700e98, 0x63b07e5e, 0x9c9dd371, 0xb3e5e97d,
+    0x659d9904, 0x529a7983, 0xcdf93e1f, 0x73eb69a1, 0xa8199415, 0xe3245958, 0xc32a27ec, 0x3179d53e,
+    0x0b6969d7, 0x2a99dc9c, 0xb509767a, 0x8778a0e6, 0xe2b111a8, 0x5209e1aa, 0x3fb65fbe, 0xc4b2c786,
+    0x44d6a0c2, 0x32f01d36, 0xb374182f, 0x29045b70, 0x8a20ee1a, 0x011d07db, 0xcbe1eb6d, 0xb64fbe8b,
+    0xe294e41c, 0x45df0daa, 0x6901bfd1, 0x90857c71, 0xcaad9c31, 0xf533334e, 0x88dd39d3, 0x10416423,
+    0xc6588b48, 0x8a140f1c, 0x3e435c57, 0x1ca56f43, 0x64406f2c, 0x3259a149, 0x5df7e926, 0xe8c81dfa,
+    0x478dedcd, 0xdc845b3f, 0xc6114e03, 0x5a1e113d, 0x053aa157, 0x1d9c7e28, 0x3a88fbcd, 0x7a87fedf,
+    0x2f6281f1, 0x12a88063, 0xbe51133f, 0xcb8f166f, 0x99a695f9, 0x1b2db9f8, 0x158dbf54, 0x5dc10427,
+    0x0cb09bb2, 0xa2389b3d, 0xa5059c87, 0xdec15a6b, 0xe620481b, 0xf3d32b33, 0x43c176f3, 0x8fab33d3,
+    0xb7d9acfd, 0x05fb0a7c, 0x023a68e3, 0xec687153, 0xfe4cbaab, 0xd0d6942c, 0xd5d93166, 0xfedf6642,
+    0x985e70c0, 0x626264d9, 0x5349d85d, 0xd92ac706, 0x9f8a3213, 0x20338842, 0x96e9bd75, 0x3aa8e29a,
+    0xd7998948, 0xad0a64d0, 0xa8ab7f0d, 0x3fe4b8db, 0xb4d78fcf, 0xd14c5b31, 0x9115842e, 0x6befdc48,
+    0x4124c159, 0xe1816dbd, 0xac3d9b46, 0xf270b2b8, 0x5ddda213, 0xbc12fafa, 0x57cd2713, 0x74baaf5b,
+    0xea3b4aba, 0x74f21cbe, 0x99930894, 0xfd486408, 0xce29dc8f, 0x4e429d65, 0xadf82032, 0xffdf038b,
+    0xba1268b1, 0xc192a151, 0x8ff0969c, 0x1d032273, 0xfc52f755, 0x1704c2da, 0xf204354b, 0xb138da6c,
+    0x7afc3467, 0xe6b3fa48, 0xaf0d5579, 0xcb3b4724, 0x3d309684, 0x3cebc1c8, 0xd5764aee, 0xa3a77607,
+    0x2d3887a7, 0xe3c43cd7, 0xb3916dd0, 0x0c74ef8d, 0xa151a50b, 0x4b8aa224, 0xb57087f0, 0x4ca2168d,
+    0x86e21811, 0xe20ef695, 0x7a3aa148, 0xe31e74a9, 0xf9f4a210, 0xac0dcd03, 0x089a867d, 0x2cf65528,
+    0x25ac792b, 0xeb92d667, 0xeb519ae6, 0x81231b8c, 0xa16b7c86, 0xae7abe3f, 0x02e92233, 0x89f456f1,
+    0x5b253e6b, 0x77ecd375, 0xb0dbfaa8, 0x1074472b, 0xf6a1ef0d, 0x5c3011c9, 0x234f9a41, 0x0cc8b874,
+    0x21d32ae2, 0x900dd163, 0x5943a363, 0xc1034ec8, 0x95d954c3, 0x763e27a3, 0xc31be354, 0xa2aebd9a,
+    0x432ea78b, 0xec3626d4, 0x9e2f0fc9, 0x8820f4c3, 0x8a3e9041, 0xd1dd0c7d, 0xb62bacee, 0x1da8ac9e,
+    0xe046ad3d, 0xfa1359d5, 0xb63749af, 0x48e00b91, 0x2af1a7ad, 0xd9fe273a, 0xdf53ce00, 0x42329463,
+    0xf9878d36, 0x5ddff977, 0xcf809a0d, 0x96e2fe78, 0xae2c457d, 0x40281b5a, 0x3992a8a4, 0x0cd3f436,
+    0x62affa64, 0x97102d59, 0x86ab0738, 0x5ead4672, 0x6dae0238, 0x007fc895, 0x06866558, 0xafdd8726,
+    0xc9786135, 0x833ac9cf, 0x87258d54, 0x43bb3f0c, 0x1b7afd2e, 0x3f40b999, 0xb31a4f82, 0x98daa518,
+    0x1aee2b2d, 0x3ca431d7, 0x568f5188, 0xd932c64e, 0x2cf8b144, 0x7598f314, 0x1406e7b1, 0xa10762b9,
+    0x05324595, 0x0229f4f0, 0xcc4ebe0d, 0x8d2b251e, 0x20a7d66a, 0x8b9f4820, 0xa6dcad12, 0x827eb567,
+    0x00000000,
+    0xcc9a4ea7, 0x02c94092, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000005708990770823839524233143877797980545530986496 */
+  { 0x00000000,
+    0x5e9c51cd, 0xfbf89288, 0x05232e82, 0xbe999632, 0x1cd3c00b, 0xdfde22ed, 0xf1722076, 0x48a750fb,
+    0x1ff263cc, 0x8c28dd28, 0x94c95b0e, 0x8beb480b, 0xfeaee43a, 0x09e584d9, 0x4a8ec3bf, 0x998fca0b,
+    0xbc342e4d, 0x4d38775c, 0x192f24f3, 0x1d81a09e, 0x22a3ba4d, 0x40c74759, 0x70066046, 0x60ae1946,
+    0xefc03c80, 0xa3a36ee8, 0xc271b4a5, 0x96904742, 0x1f6f01e6, 0xc24f5b4a, 0xb1e9cbd6, 0x5771e5ed,
+    0x2bb55fc4, 0x9b1ef4a3, 0x65b66637, 0x4ac5ec87, 0x64022e0b, 0xc2e394eb, 0x2ed28e27, 0x9cba7ece,
+    0x0e16ee28, 0x7403e2d2, 0xbc4d62f9, 0x5cd2fc87, 0xef337708, 0xd57f5e0f, 0xca8ba9aa, 0x2100fe56,
+    0x514a808d, 0xd2865cc4, 0xa23b4dc6, 0x8667a691, 0xa8b0a12e, 0x84d04171, 0xc68f0989, 0xf532b7c1,
+    0x6d6f939e, 0x63eff4b1, 0x493400c9, 0xcd54bae4, 0xb5f9c4e4, 0xf48a2d43, 0xb1a674d8, 0x1f6cba0f,
+    0x4870e4fc, 0x507fcdaa, 0xd0efad3a, 0x71205777, 0x424ad617, 0x47d94067, 0x6e221f60, 0x427af7a7,
+    0x003b52e3, 0x91b03b2b, 0xc9107e98, 0xc9d8c448, 0x65958ece, 0x90dd3e3a, 0x5fa480a6, 0x94319751,
+    0xe7115e9d, 0xc850f916, 0x0d730c99, 0x92aa8031, 0xc03d5d60, 0x93d8dfe3, 0xd5f3efcc, 0xa9580be0,
+    0x05d0f73c, 0xaa5d5456, 0xc3b55e90, 0xce1e55d0, 0x3d354f26, 0x08c425f9, 0xf35d8f67, 0xe5d18210,
+    0x122fbb5d, 0xcf7d6d1a, 0x0129c9bc, 0x55d6129e, 0x263af809, 0x49dcb1dd, 0x53676333, 0x3271bbfd,
+    0xbdb98eeb, 0x63621427, 0x7f812215, 0xd3b10001, 0x70aa0a5f, 0xb2080aaa, 0x440344c7, 0xb2a93bc8,
+    0xffbc563f, 0xc096fb68, 0x257e86c8, 0xa4cec6d2, 0x6ee5952c, 0x0f4ecbfe, 0x09d05a27, 0xaf58e07d,
+    0xf039a1d3, 0xafb8ed04, 0x91aad749, 0x7dc9a212, 0x1ad353b1, 0x9e6390f6, 0x111551d0, 0xfb4cb726,
+    0x05a0f784, 0xc03625b4, 0x61384e34, 0xfc288dd7, 0x3a7b7acd, 0x045fbb39, 0x25c014e6, 0x44b707a9,
+    0x99300dc6, 0x115743c7, 0x3c9a7aa8, 0xcf1f6070, 0x246fd104, 0xea9a49c4, 0xcca285c1, 0x5c462a82,
+    0x81e6079b, 0x4ab91280, 0x57b1a3ff, 0x93d07c5a, 0xc026424b, 0x073ec713, 0xecbb938d, 0xa961814f,
+    0xff55791d, 0xa189a0d9, 0xc1c99c44, 0x47f9c863, 0xf57f6c34, 0x930078d0, 0xf1c71a72, 0x7643defc,
+    0x79f27241, 0xe04cc773, 0x3c6585e9, 0x00da7a86, 0xda07551b, 0x84ebfabd, 0x9fa41f1b, 0x32d5882b,
+    0x5504653c, 0x5affbe83, 0xb08c31ca, 0xc2cb88cf, 0x04632ef2, 0x35b00bb7, 0xbdedaf8d, 0x94c9b64b,
+    0xf4695b60, 0xa8468710, 0x27a0d76f, 0xb625a32e, 0x0eb16e50, 0x868abee1, 0xf9c3cb74, 0xe4c48b5f,
+    0xa4e87b8d, 0x8aa8bd6e, 0x7436d9d6, 0xbd9eb4b8, 0x6325265e, 0x062d3a67, 0xed5391a9, 0xd84aabab,
+    0x90c01c75, 0x44dcbc1c, 0x96d9c221, 0x4449f78d, 0xe6b5d17d, 0xa45741dd, 0xbc4ddb4b, 0xb60f5cf1,
+    0x1eb72574, 0xe229e976, 0x2a1a1310, 0x75a35b31, 0xd260b981, 0x924c5271, 0x0e24e7ec, 0xa7b40f69,
+    0x9e677ab7, 0x31bc666e, 0x0be74857, 0xd30f8b01, 0x4135f067, 0xfa3cc242, 0x3fdd80fb, 0x7dea2667,
+    0xb438a1c9, 0xfcdba22d, 0x18f3e00d, 0x82f4def7, 0xa6ad0c8f, 0xbb138b2f, 0xe2b1e16a, 0xf6408be1,
+    0xe83b5fc7, 0x266dba2f, 0x303c9232, 0x5f36a99d, 0xa7679174, 0x8083180a, 0xe8d56a2a, 0x0b03a972,
+    0xddb3bb9a, 0x4928ade6, 0xaa5d8d1f, 0x26fa331d, 0x9c961bf0, 0xf46ee9e1, 0xf97f886f, 0x3f5449d8,
+    0x9857e14b, 0x67f255f6, 0xc2e2b259, 0x3fa347d1, 0x7f83f131, 0x36ef0546, 0xba97c94b, 0x5b9db9c9,
+    0xb76cb635, 0xc9dc7e25, 0xe492afb2, 0xf7749d6e, 0x1c560bf3, 0xc43febbe, 0xb4dfb677, 0x18c00163,
+    0xf73fb686, 0xa5379058, 0xe1c72565, 0x91cfee71, 0xc733c22f, 0x33fc1568, 0x684da772, 0x8fc3ca85,
+    0x12179312, 0x27a36c5e, 0xea1a2767, 0xf3656694, 0x9963648c, 0x85ca9d20, 0xcf4b3dcd, 0xfb467531,
+    0x9637ba94, 0x6c29d41d, 0x3a28b9d4, 0xbd1dc962, 0x2fba5c41, 0x6940fbcb, 0xd7f82977, 0xd02d090a,
+    0xbad2f36a, 0x84ecb81b, 0x0d439fdf, 0x2a5ce9ed, 0x795f0f9b, 0x7c384caf, 0x67704235, 0x01ff350a,
+    0x37f6dc1b, 0x9cabe910, 0x51117d18, 0xba28acad, 0x889f90ee, 0xeed9479e, 0x2b0c79d9, 0xad783ebe,
+    0xac3038fa, 0x5d69071f, 0x8230dbc7, 0xdf1f2c09, 0x48611b4d, 0xbd7ac861, 0xda46f940, 0x1c211929,
+    0xd8e15e56, 0x54f4346d, 0xa8b5df73, 0xd37f5e62, 0xc9d6c914, 0x49cfd015, 0xd4ae6913, 0x53e29495,
+    0x78e005f4, 0x2baea7a6, 0x3816175f, 0x570a550e, 0x89aa31ca, 0xd216df20, 0xd83ad100, 0x644eceec,
+    0x78b7f70d, 0xe3c9943d, 0xb24d10c4, 0x92a9d822, 0x7d188667, 0x68674937, 0xa230ad8e, 0x4b2d979c,
+    0x6588418f, 0x625f7037, 0x80a81b46, 0xb18ec9b2, 0x2c87dc63, 0x343a50ee, 0x4a362d42, 0xd038186b,
+    0x266c8bc9, 0x7819f98e, 0xee6e73f2, 0x5958f98c, 0xc8bead8e, 0x4875b1f0, 0x1541c629, 0xb43d6a75,
+    0x7a36e0e9, 0x7a458145, 0xc49f1db2, 0x659e6da7, 0x09d361a7, 0x6abe3845, 0xd7a1cd11, 0x097831df,
+    0xb746bea0, 0x159c74e1, 0xee644c88, 0x95679c82, 0x90099679, 0xdc9c543e, 0x2af720cb, 0x3859278e,
+    0xaf3be454, 0x774b945e, 0x3754303c, 0xb238372a, 0x6422d43d, 0x1bcc4c77, 0xd3fa829c, 0x11d6abd6,
+    0x195cc47f, 0x987a5275, 0x82b45b4d, 0x8ca7bed6, 0x4f4198d0, 0x19e312b6, 0x3c25cb8e, 0xc3623e37,
+    0x866dbf03, 0x6f5565f3, 0x36f55a1b, 0x24130480, 0xec3dafa8, 0xaab38910, 0x4440dd06, 0x5d356588,
+    0xd110590c, 0xcfc21ea8, 0xde260708, 0x03476ca0, 0xda879576, 0x3cdb9ff8, 0xa47545be, 0x864282ad,
+    0x4750c193, 0x4bb7d68a, 0x6802bb71, 0xaccfbe8f, 0x969a3f1d, 0x31b2f19c, 0xa8c2268b, 0x3f7c519b,
+    0x05bc956a, 0x8f4bed2d, 0xe6bb4b7b, 0xe63af08f, 0xc2584439, 0x5e877900, 0xd4b9e1f0, 0x4860c0bd,
+    0xe7d7d896, 0xc7b911cc, 0xae032070, 0x622d6edd, 0xe001ebd7, 0x0c660fc6, 0x6c7c63ef, 0x264fecbc,
+    0x3dd53b4a, 0x571bc2c1, 0xc140159e, 0x06f11c71, 0x23131797, 0x0399bdb6, 0xc9333bf0, 0xbb3d0b4c,
+    0x95bd8092, 0xb38df943, 0x02b145ac, 0xb1607299, 0x4c352032, 0x2e4dbb2b, 0x2e251f7e, 0x1f40ed55,
+    0x23b8d398, 0x8bd64334, 0x0f2d0159, 0x58c2c1fc, 0x2ba7adca, 0x74e250f4, 0xc3070ae6, 0xf3fbc874,
+    0x1247d8c5, 0xf5bcd246, 0x89f00543, 0x1acdccbe, 0x648badd0, 0x9c50012d, 0x89900861, 0xbd884ced,
+    0x23866fa9, 0xa3874c97, 0xa70263f9, 0xebf996ea, 0xf94163ea, 0xb26421da, 0xeee7e64e, 0xb3b4ca48,
+    0x4006fea1, 0xf54ce902, 0x12579c7e, 0x634f9c73, 0x2541e790, 0xa83c3bcd, 0xfa1aba22, 0x7f036f63,
+    0x917b2562, 0x2fae3843, 0xf14ac977, 0x351bc601, 0xbe4e8540, 0x2b72f8c3, 0xd9f774db, 0x1de0798f,
+    0x1238d3ab, 0x6d865710, 0xbc69c0ec, 0x8c62a980, 0x3cb438e1, 0x791282c1, 0x08463075, 0xfe813147,
+    0x79a2090d, 0x18818c87, 0xacade26f, 0xaa59e199, 0x5d21bca5, 0x2ec65a3e, 0x56425763, 0x2c88f9b4,
+    0xc28cf1e3, 0x6f73b771, 0x2e99b96a, 0xbea6e202, 0x9fc62098, 0xb8b94134, 0x740c8f03, 0xc2ce1d52,
+    0x13562278, 0x2cf4a54e, 0x6c01536d, 0xe5490ef5, 0x0f9ecca3, 0xbafaec50, 0x91efa649, 0x25343ae3,
+    0xe53fd6ad, 0xd5591a23, 0xc658e0a9, 0x4989f318, 0x6a088f40, 0xabf3ab14, 0xb5c4ba0d, 0xa6eb0e1e,
+    0x49f7eeb1, 0x43f67fd9, 0x4f2e8839, 0x9c0867e0, 0x1f7e2dfd, 0xb4a085ad, 0xc37e149f, 0x1186df14,
+    0xf1c86fae, 0x306f1988, 0xceb5cddf, 0xa7ff2d4f, 0x9d6cbbae, 0xa8747e8d, 0xdc908898, 0x65365096,
+    0x9389b528, 0xc23ec2c7, 0x33871463, 0xc421ae75, 0x45bd0605, 0x9ffb29cb, 0xd5e760f3, 0x38d4bee3,
+    0x4b3f3d3e, 0x3eddfecc, 0xdadc73bc, 0xb7656cf3, 0xa98411a6, 0xd0514a5a, 0x2d6e932e, 0x7c4a6bf2,
+    0xaccf398a, 0xea5a8c1c, 0x1d0fbdf6, 0xc796d3cc, 0x43bb372b, 0xae1e42ee, 0x5b450a13, 0x9d64c673,
+    0xc5ee21c4, 0x63c3c6c5, 0x3c550f0c, 0x49809313, 0x42af6bb7, 0xa369a600, 0xfbad8907, 0x83147d91,
+    0xe95bfd3a, 0xa0d1b8d0, 0x836d630b, 0xb5269dbe, 0x0dd903fd, 0xe8bf35e0, 0x57d04990, 0x38e9e0b3,
+    0x979757a4, 0x4545fdd9, 0x56a9a2ef, 0x9fe5d036, 0x1b096822, 0x865a2283, 0x69e76418, 0xbca98466,
+    0x7ff9c98f, 0x1864126a, 0xe748f67b, 0x833ca7b0, 0xeb9f9da0, 0x7d446d77, 0x65c7435d, 0x5e3347aa,
+    0x58aa02fd, 0xe2b6563d, 0x1c7e7b82, 0x078c3c89, 0x6fff338d, 0x60063f21, 0xdd8925e7, 0xac76955c,
+    0xc1274e9d, 0x8537cdf2, 0xec8e3ab7, 0xac2d5bae, 0xf42f4457, 0xf6fbe031, 0x74f2f009, 0x262773ef,
+    0xe9649633, 0xf091b02d, 0x4a2ea1c1, 0x21dd5e4e, 0x33b4af5b, 0x58c772c8, 0xaf6cfd90, 0xc38beda5,
+    0x64cf349e, 0x396f36a9, 0xca5d833e, 0x1a753fe0, 0x02aeab1d, 0xa862df13, 0x478d8f8d, 0x708a25e5,
+    0xb1f9a6b9, 0xbf966636, 0x6ee4392a, 0x0313e351, 0x2c256310, 0xc69c4cf0, 0x4b00c0a1, 0x87516ac6,
+    0x4dc36e70, 0x2abc5351, 0xff979a71, 0x38322bf2, 0x9cf73528, 0xbeb37d5e, 0xe7824d6f, 0x9733223d,
+    0xba2a105c, 0x725edc19, 0x84f8b535, 0x22521a13, 0x7db95593, 0x7a844270, 0xadba3355, 0xd17a9d2a,
+    0x10e37073, 0x278a3d39, 0x58d70c91, 0x7721d3dd, 0xb1d19070, 0xa76f1ec8, 0x27b23747, 0xc3daccec,
+    0x0a4ea6b5, 0xc084e512, 0xbb831df4, 0x5c04a9f7, 0x570ed419, 0xf7bdaddf, 0x5e725b6d, 0x954603fa,
+    0xd960af61, 0x90a0e16b, 0x5e3aa1c8, 0xb85330c7, 0x00e32789, 0xabe274ec, 0xabd769fd, 0xeee8cdd2,
+    0xe02d871c, 0x32b14f82, 0x2ece0439, 0x760141f4, 0xabdf7d9f, 0xacc082e3, 0xfa443c11, 0x42dcecfa,
+    0x2ba8b607, 0xc0617626, 0x413954e9, 0xcc09068c, 0x5f81cb04, 0x545880f4, 0x74e45b68, 0x60852159,
+    0x000d04a4, 0xb8dc7bb7, 0x69f4a604, 0x9f4d8d51, 0x6de9f22f, 0xf4597810, 0x6d8f8057, 0xe767bbee,
+    0xa32cdcf7, 0xa651f80c, 0xc378d2a5, 0xcc643255, 0x8a83c49d, 0x629993ed, 0x2b1654bc, 0xb9c2c1fc,
+    0x8acbad07, 0xf0369977, 0x81f46e8a, 0x14adbb62, 0xd3295201, 0xfd34d07a, 0x0c9cd310, 0xa3db5bfe,
+    0x642c5043, 0x25a33249, 0x0702eb6d, 0x343cedb0, 0x10aa3cbe, 0xab91a263, 0x9ad31e22, 0xee2be263,
+    0xd639562c, 0xa1f30ae0, 0xd847b526, 0x2233f667, 0x3197aa74, 0x21e61849, 0xb72f5369, 0x8d3d6d2f,
+    0xf812b86b, 0x37608b9c, 0x84ef9f10, 0xdabafb03, 0xf4b270d1, 0xf8c1d8a1, 0x1f111522, 0x92c52b6a,
+    0x2d99d5db, 0x9d0a457c, 0x259a9fb4, 0x561ba75e, 0x8876cd21, 0xb4ee6c8a, 0x133e0b36, 0xb026219b,
+    0x8d9ad52c, 0x3ddf7751, 0x7c750832, 0x848e1c9c, 0xe2fc6793, 0x045f63e1, 0xa7bd2359, 0xed5f1f7a,
+    0xdf31cb61, 0xb1e04539, 0x6c95a695, 0xe32baf13, 0x48691bc4, 0x671496ad, 0x0e5b5164, 0x505bca5f,
+    0xafd7fad3, 0x073cd7d8, 0x123d6c45, 0x2dea69da, 0x9fbdd76b, 0xa0b62c02, 0x6d0c2442, 0xb43efe38,
+    0x43ab4a4d, 0x9b406a88, 0x4304db53, 0x97ad56d3, 0xd4c4daee, 0x716ff084, 0x585f7db5, 0x809cd25a,
+    0xce6fe888, 0x3fe60b1f, 0xf4747088, 0x08f511c3, 0xccd5fa6a, 0xb6785176, 0xfbd076d0, 0xfddaecce,
+    0xe8c088cb, 0x3057de1d, 0x26f9a06a, 0x629a71c5, 0xb96bef23, 0x5c495e61, 0x0775decb, 0x0860d836,
+    0x82961f62, 0x20c15e41, 0x9e4f8c00, 0x4d90795c, 0x5702adb8, 0x70fa3c03, 0x3d24a2e1, 0x99f8c9f1,
+    0x5c4fa258, 0x0238f3ff, 0xe9e419e2, 0x36aa75f5, 0xf472368a, 0x733af1e8, 0x9a235805, 0x26b20e5b,
+    0x7e9a2cc2, 0xd89ebde1, 0xd13b53be, 0xcbb8ff31, 0xad85c44c, 0xddddb758, 0xef6d6046, 0x40d36ea3,
+    0x91ee9abb, 0xb4967c67, 0xf237bbc5, 0xb927f765, 0x4e67d4d9, 0xd8825edb, 0x2afee6d3, 0x37294be3,
+    0xfbc43061, 0x20343c41, 0xb8709c79, 0x7e697be1, 0x4072b178, 0x4867bf6c, 0x0fd86d24, 0xd9fdc6aa,
+    0x60eef090, 0xc2f85a46, 0x3ab1a01d, 0x4a5f9f10, 0x1a7483d4, 0x57b800ee, 0xe7f20743, 0xd7a0bb8c,
+    0xb358fe73, 0x7b57057d, 0x68e3d982, 0x67ece6cb, 0xfb197a0e, 0x3ba8bfc7, 0xd283bf4e, 0x31f8e912,
+    0x544ce259, 0x06124ce3, 0xa6bcb26c, 0x4031fc10, 0xe6fa21ad, 0xd3f92f95, 0x84d18c3f, 0x87968f4d,
+    0x478594b9, 0x4531a9b0, 0xde8982e5, 0x6d02aa4b, 0x31e9634e, 0xb0bd0f01, 0x48b6cb2b, 0xd447b3ec,
+    0xe93c9b24, 0xfa818733, 0x94da8994, 0x3725047f, 0x1aab480d, 0x45c5e6e8, 0x2e05622b, 0x0b3764cb,
+    0x03074a68, 0x329caf9a, 0x45d87dc9, 0x69842584, 0xa9ac2b7e, 0xbde43ea9, 0x7ccfa17e, 0xef8bedca,
+    0x2af5b04f, 0x9d44a6c7, 0x9ae382c8, 0x01d8adf9, 0x7580f675, 0xa4acbff2, 0x320f4e5b, 0x9e838662,
+    0x94225131, 0xb38d3e0b, 0xdd2f198a, 0xe60f0f93, 0x43ff415f, 0xd5696096, 0x5b8991bc, 0xa41bad6b,
+    0x20462e1d, 0xe8fd67f9, 0x3c89c077, 0x15782937, 0x6d624b3a, 0x4e006825, 0xaec30a0a, 0xc624e342,
+    0x8ddf0ece, 0x9916dd5a, 0x22401b0a, 0xc7433bc1, 0x71d3a2bc, 0x6a83048a, 0x6d3dd95c, 0x4d489c6e,
+    0x8ee3aa80, 0x25f15b94, 0xc628b983, 0xc27442ab, 0x14990745, 0x72c9f344, 0x153ba9e6, 0xc5f02928,
+    0xf866d313, 0x24f3189f, 0x60ed5fdd, 0x8831b5a9, 0x730031b3, 0x251ac343, 0x6568bb58, 0x4a53ac4a,
+    0x8c43974e, 0xed64a12d, 0xa81df45b, 0x0f4c959d, 0x6bd95b07, 0xff472e44, 0xe8327075, 0x9921f1c9,
+    0x1606fe2d, 0x737bab51, 0xc52c48bb, 0x30bd7178, 0xf307988a, 0x45af2921, 0x695b1a84, 0xa9404a67,
+    0x703ad786, 0x857c2e0c, 0xae24ea82, 0x876b8412, 0x715fb0c3, 0x038e2dad, 0x04196fbb, 0x72442444,
+    0x3759c69c, 0x7658d618, 0xa0f9cd93, 0x30bdee56, 0xf77e45d8, 0x38ca34ad, 0xd58984d1, 0x97bab0a5,
+    0x0b9dc451, 0x3ec516ef, 0x38bf925d, 0xef0df3d1, 0xfb5b458f, 0x2df23497, 0x17888662, 0x8cb47615,
+    0x4fd64e16, 0x02722d2e, 0xec3e271e, 0xa202881b, 0x5da9e365, 0xfbc15647, 0x104dd664, 0xa769de28,
+    0xad4f386a, 0x4d0bb598, 0x10314166, 0xcefc13cd, 0x334edffe, 0xca0ba851, 0xd9935608, 0x898fd8ca,
+    0xea85386f, 0x0b0fa3fb, 0xa710da42, 0xe44de619, 0x9403defc, 0xd71be1a1, 0x16328be2, 0xfae22227,
+    0x27e33a3b, 0x644ed07e, 0x9f3353d8, 0x99febd4d, 0xfc8470db, 0x8f326fec, 0x6347163c, 0x0f27dbc9,
+    0x3783d007, 0x3671eda0, 0x69560f02, 0x6810d9b9, 0x89fe2a0e, 0xbe823b3b, 0xf70f13b5, 0x7df90888,
+    0x2d3058f2, 0x12877322, 0xd74e0677, 0x921bd899, 0xd6387938, 0xeb0b3235, 0xaa6d68ca, 0x813dd026,
+    0x00000000,
+    0x664d2753, 0x0164a049, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000002854495385411919762116571938898990272765493248 */
+  { 0x00000000,
+    0x2e6654cb, 0x8bab3b8b, 0x7fb6f404, 0x34969ade, 0x6e01ee32, 0x38274c4e, 0xf6b35f3f, 0x60839ed9,
+    0xc10f359f, 0x1cda73d0, 0xf00a40ee, 0xb7b80d0d, 0x11eb0c8c, 0x688023cc, 0x0d6f9f03, 0x027cce09,
+    0xf9591def, 0x74e5b786, 0xc381f4e9, 0x44d67aab, 0x915ade34, 0x207f48d3, 0x12983038, 0x99ef8e3e,
+    0x1acbcf26, 0x42fc7001, 0x6157c51d, 0xd40149a3, 0x392ae19c, 0x387e8017, 0x73ae9636, 0x7f7ff0d3,
+    0xd9eb7af8, 0xafe2ed3f, 0xd9aa889b, 0x58c516aa, 0xabe91edf, 0x558c6281, 0xcbbda379, 0x5e7c2517,
+    0xde328f87, 0xec6fbcdf, 0xa4070cdb, 0x32ddb0e8, 0x6911f541, 0x3edd2e1a, 0xbeeb1518, 0xf1b6adf6,
+    0x9667ed26, 0xf586fce1, 0x960da27a, 0x9fd6f016, 0xf69f6f2b, 0x77d92a23, 0xb2b7dc80, 0x5cd5ddbe,
+    0x28fa301c, 0x3cbbf975, 0xb1f0e35a, 0xb4b85566, 0x250a73cc, 0xc7eee2aa, 0xf0650f39, 0xaf95e8bf,
+    0x889a0813, 0x05c1b90b, 0x1d4a8161, 0xcd6677b2, 0x525b0fc7, 0xaa8e1cb4, 0x89a5eba9, 0x4c360d09,
+    0x18f4769b, 0x546ec698, 0x038f59f0, 0xe450645c, 0xcee352cc, 0x8485c690, 0x50d782f5, 0xacc15e20,
+    0xf04048a9, 0xc11dd4de, 0x1942e771, 0x09865176, 0xae91ab1f, 0x36376740, 0xfa82c096, 0x87647a98,
+    0x612f8cf1, 0x43af20c5, 0xaf7b03a0, 0xdd784609, 0x56982719, 0x2e058eb8, 0x1ab963df, 0x389a9ede,
+    0x9ab997c0, 0xf88a5868, 0x7d560b27, 0x26ef518e, 0xbb0a269f, 0xb8d139f6, 0x217ff511, 0xdf2dd929,
+    0xa061e492, 0xb6d1157e, 0x68f4e7ea, 0x553f76c4, 0x7b6b5e05, 0xd212000e, 0x4a082af3, 0x9212f1c6,
+    0x898342ac, 0x7954271f, 0x5dfd3295, 0xd42bdba2, 0xd16d96b4, 0x0329fe13, 0xc4ba41b5, 0xd4305520,
+    0x77f6c40c, 0x5791b8c3, 0xffdd3916, 0x34cad26a, 0x18f4583c, 0xd50330c2, 0x33d9fb2a, 0x873a77a9,
+    0x1a844502, 0x7e7c596a, 0x40d5bf00, 0x74842e45, 0x29217af1, 0xeb4cf973, 0x1161d10f, 0x72339e2b,
+    0xf431fbfe, 0x8a382590, 0xb0b5d336, 0xad3198a7, 0x56e91ac4, 0x9088e575, 0x70c30414, 0x5e32fe53,
+    0x7b7f9b4e, 0x7a45fcaf, 0x365f1805, 0x90fc9c94, 0x3938a375, 0xdcd040d4, 0xf979102f, 0xaa48a95d,
+    0x36465301, 0xf028d7d9, 0x697dc897, 0x99650d86, 0x09680641, 0xaf4c6a9f, 0x1932609c, 0xa227060c,
+    0xcb312e05, 0x333aab0d, 0xc235cec2, 0x5de53160, 0x9ff11595, 0x31f1cb1a, 0x13f9eb26, 0x3417e119,
+    0x0c589b50, 0x2720ddd0, 0x8c650c90, 0xfeee9d26, 0x717497d4, 0x038beb94, 0xbb5a8658, 0x1afe0768,
+    0xdac15f5e, 0xa7b99844, 0x66bc6233, 0xd69dddda, 0x0aefa5f9, 0xb8a8a67e, 0xf58a0181, 0xa4d2b541,
+    0x6dca24a3, 0x149ae7c5, 0x978fbcd5, 0xad0779a2, 0xa4c14ee5, 0xec75248a, 0x9c9b95c4, 0x2be2a94d,
+    0xbd0d1d0b, 0x6aab0f67, 0x8d2c189d, 0xd21335c6, 0x60677b4e, 0x3f1c7d32, 0xe4da399b, 0xe112c3ce,
+    0xa91df3dc, 0x813c27e6, 0xbb9eba43, 0xe4057723, 0xb371e5d1, 0xcb4db224, 0xa8c7448c, 0xa42f5570,
+    0x104985ce, 0x73b13a06, 0x06b55aa9, 0x85e5623c, 0xd26868b7, 0x6573dbd9, 0xa643b034, 0x856be1dc,
+    0xf0e9a066, 0xf23dc57a, 0x781c9030, 0x7ec0d401, 0x18a1482e, 0x059c1a28, 0xaa8406db, 0xc90af459,
+    0x2f9e75a5, 0x4b2b0fd0, 0x0f542f66, 0x29cb2cec, 0x499f2c7e, 0x3ee0edfd, 0xa0f688f2, 0x1eb8beab,
+    0x327bc970, 0x3bd8598b, 0xe239629a, 0x90054745, 0xf5532bb3, 0xaddfed5e, 0x3700af9b, 0xcf22cc45,
+    0x051c297d, 0xf3dc3a6f, 0x4bc98a48, 0x0a253d49, 0xaa33ebdc, 0x42b93ff7, 0x345ae9de, 0xbdb7984b,
+    0xb64bd48f, 0x98d98486, 0x9e5cf4f0, 0xc99cf387, 0xac2a91fc, 0xb095d3f3, 0x330b5339, 0xd290139c,
+    0x42faed98, 0x4e67f048, 0xeaf53791, 0x1c618138, 0x2da6a3da, 0xfbb03c64, 0x6297894e, 0x38c304ea,
+    0xda690da7, 0x28240a5b, 0xddb13804, 0xed9ce85e, 0x5c1d5220, 0x2de931bb, 0xfa3e2bf4, 0xed15b3c8,
+    0xce745577, 0x9708ec25, 0xf1009a06, 0x24f86cbf, 0x1263f091, 0xd4fb0aaf, 0x14b753c8, 0xe17d2ab2,
+    0x7d0298d4, 0x1cb0c139, 0x764f8aa0, 0x1dd14c9f, 0x3c93eadb, 0x1b2037e3, 0x6a1a58a2, 0xc31a081d,
+    0x216c8482, 0x9012a2ab, 0x63246d4f, 0x3963f4dd, 0xd5c29aed, 0x4982af00, 0x2c181db6, 0xc5d8b05c,
+    0x50b51c3b, 0xde4f8bc7, 0x1aafbcc4, 0x508ae620, 0xabeba76a, 0x37b48161, 0xb8143fba, 0xaf3783bd,
+    0x8d1d1bde, 0x727923c6, 0x7e60dfb4, 0xf6e05142, 0x3f73f678, 0x51ad04fe, 0xedf77f9b, 0xba69685d,
+    0x75e82729, 0xa1ca84f8, 0xa09caf1c, 0x0a612f37, 0x70edaac2, 0xb5532838, 0x69dd0cf9, 0xb7565d0b,
+    0xcffb5918, 0xb15243ad, 0x632f3996, 0xab91cece, 0xecffd698, 0x9ee90062, 0xa8ae66b6, 0xa09b67d2,
+    0x07e75e96, 0x0a0cfc90, 0xb8dad4de, 0xbd2b53a3, 0x78c9f996, 0x6e56263a, 0xb6a60b75, 0x3f5137e4,
+    0xcdb472a6, 0xc7f11221, 0xc3dc99e9, 0x18d70668, 0xa519fee1, 0x927fa8d2, 0x33dd3ad1, 0x981158c4,
+    0x69787cfe, 0x2ada4c37, 0x7604ec8f, 0x35adf3a6, 0x0fab70a2, 0x56bd6acc, 0x1cf37615, 0x5b212b6c,
+    0xaa04cc65, 0xbb246733, 0xa6ea1ccb, 0x224d2264, 0x98074bf3, 0x7fbf1334, 0xfc8e12c3, 0x8214bef6,
+    0x53cf1a0c, 0xcf645653, 0xe0ab36f3, 0x20bd85d3, 0xead85ed5, 0xfb4bf13c, 0xe8eb6ead, 0xaefab87e,
+    0xa4975eb7, 0xa6964f27, 0x56411943, 0x1808a56f, 0xce201e02, 0x8bf78e66, 0xf8bd3b67, 0x94642c73,
+    0xaf669bec, 0x408be0b7, 0xf6e8ebad, 0x953a66c7, 0xb4e601c6, 0x86117d86, 0x7af484fd, 0x4b2e14bf,
+    0xbfef04b6, 0x2526b012, 0xa07fbea3, 0x7b7946e5, 0x79867661, 0x2dfaa170, 0xee58403d, 0x49916b77,
+    0x1385f268, 0x66166cc9, 0xda622d1d, 0x1d9a155e, 0x03b02c23, 0x30d2eabf, 0x994857b3, 0x9002220d,
+    0x3c7b03ed, 0xb98ff119, 0x9ecf205c, 0x69699ab3, 0xa5691d93, 0x47d66902, 0xc4e1f309, 0x361c208a,
+    0xb31c016e, 0x1e8dc22f, 0x2953b988, 0x8d91a586, 0xff203aa6, 0xa98588fb, 0x0696e05c, 0x3d610429,
+    0x36706eb4, 0x03dc6648, 0xa352af55, 0x0b875c58, 0x86ad8fe3, 0xb81f3312, 0x00c6c85a, 0x55f01755,
+    0x43e39731, 0xe51fc009, 0x3c072f50, 0x923fc883, 0xd1932fc4, 0x8a3c5051, 0x3b8aea9f, 0xaf8300b8,
+    0xeb92b0a6, 0x1fc26cec, 0xf906e262, 0x93960341, 0x79a84318, 0x873ec50d, 0x47ed0376, 0x8bd1b6ec,
+    0x054fffa7, 0x5d924643, 0x80644f90, 0x23d8d540, 0x47ccb592, 0xecea8fc2, 0xc100e2d3, 0x6de391a9,
+    0x06e7ae93, 0xc26ff635, 0xe89bc672, 0xef474e69, 0x60ffaf8c, 0x4e8077ec, 0xd08c944c, 0x33715635,
+    0x732f7337, 0x87608147, 0xe5ecfb5f, 0xf4bfad8f, 0x4c02b912, 0x927963fc, 0x1e79e42a, 0x1612f6a7,
+    0x79a39831, 0x323964e4, 0xb84d02f9, 0xd77cf88b, 0xb77f5ae8, 0x8b15ff64, 0x166d1e15, 0x2ddc675a,
+    0xc3ed6349, 0xe6a48256, 0xaa24eb2b, 0x2031d8a4, 0xa00cb37d, 0x7429f897, 0x12e29335, 0xfc4b7290,
+    0x2a3c76ee, 0xe219565e, 0x6d8b2171, 0xd78ceea0, 0x8a6ac1bb, 0x8e1db425, 0x3f71a0df, 0x7fd20642,
+    0x5fb34212, 0x3623cba5, 0x491bc5e7, 0x0acc3472, 0x190d7b24, 0x905d6884, 0x41eec456, 0xfe628505,
+    0xa2e46172, 0xaba26523, 0x9cda6a79, 0xe3c2d7a4, 0x758f687d, 0xa3ac1907, 0xe72b14e0, 0xa3b7151b,
+    0xcabfe03d, 0x0fe71dd3, 0x2c7ad799, 0x5189ab63, 0x2c032d4c, 0x4b85ae29, 0xd8b1f70c, 0x4e770d76,
+    0x34794156, 0x717a7684, 0xde32713c, 0x117f43c8, 0x80d40210, 0xa4a29b69, 0xcfce2696, 0x4a49bd34,
+    0x3b258c1e, 0xb2a0f3ab, 0x2aa36035, 0xc7460340, 0xa0b2c437, 0xf913896c, 0xd1aa3fd0, 0xdb550328,
+    0x2de71b07, 0xb7c722e0, 0x35351510, 0x0f13df26, 0xf8ee9437, 0x3793b0cd, 0x7b8c461a, 0xe61410c0,
+    0xf4e3293e, 0xe3bd3a3e, 0x9d5e4209, 0x8d7f5f44, 0x096f742d, 0xd8276636, 0x086a5166, 0x2f4385fb,
+    0x72dfd9b5, 0x5900b033, 0xe0ce873a, 0xde159e56, 0x38d42991, 0xfc5915a3, 0xa0ef9895, 0xb291dac9,
+    0x5cb4e40a, 0x1dcce971, 0xf81318ce, 0x8fbd594e, 0x6464f8ca, 0x702ea75e, 0xbf0045de, 0xa8b7a039,
+    0x61194e28, 0x5e7ca5ed, 0xa15cf3ad, 0x784e96b9, 0xd4b9aa25, 0x0107b546, 0xf0ae18fb, 0xd6e85588,
+    0x29f3454b, 0xc64c33de, 0xaedaa0f9, 0x95780274, 0x5114c0f4, 0xb109dfcd, 0x5615ca4f, 0xfa39e914,
+    0x8acc5745, 0xc72ce439, 0x6958775c, 0xa3543387, 0xf65ed931, 0xbd368905, 0xc2bb9723, 0x488dd7c6,
+    0xd148bf32, 0x1399312f, 0x7ab27336, 0x14fc3178, 0x4bc0751a, 0x281bf3c3, 0x8ac31f88, 0x6438ba10,
+    0xa224914f, 0x55c0a3fa, 0xfd5a3a91, 0x017ab33e, 0x93acaf7f, 0xdba2458b, 0x4db82c91, 0xbdb6ca4e,
+    0xfcd2d1d1, 0x68d2e6ed, 0x801e07d9, 0xe812e0ba, 0x79fe9ddb, 0x452424bd, 0x2e20ab7e, 0x5158ee92,
+    0x27216f0d, 0x633d8dd3, 0x935ce608, 0x582aff06, 0xf63ec626, 0xb2b28b35, 0xcf2bb52e, 0x0e13887f,
+    0x4d3b961a, 0xd9a51d32, 0xc1d30cc6, 0x1958c3d3, 0x7b991bea, 0xe8dfd34a, 0x1f13e141, 0xd763899d,
+    0x2a1ef8b7, 0x370ed9c3, 0xbd7f16af, 0xd64854cb, 0xfafe3f6f, 0x7e4d9d03, 0x81233a5f, 0xe837f00f,
+    0xf2db3777, 0x09e0dc61, 0xa7632e97, 0xab463c1d, 0xbb69347f, 0x68edb82a, 0x2f36834f, 0xca9db709,
+    0x24887e67, 0x982cd000, 0x5f257d3a, 0x124b51d9, 0xab45157c, 0x93d1e3ee, 0x63338ab1, 0x5454acb1,
+    0x0816358d, 0xc5f54c02, 0x34169dd7, 0xc7e420a7, 0x61d5931d, 0x105076d4, 0xdc948b7a, 0xb0c01779,
+    0x9abf31b4, 0x5866ebbc, 0x34475ea1, 0x45f95a6c, 0x1b885bd9, 0x8ea180ee, 0x7539bc53, 0x078e387f,
+    0x0cafb3c2, 0xbcf7f3ca, 0xbf1933bb, 0xf4883937, 0x51f9480e, 0x528132d3, 0xef9d3eaa, 0x4fcedd5d,
+    0xd75aeac6, 0x05fc1d89, 0xa9e75730, 0xca507933, 0x5019cd44, 0x189921fd, 0xb1cd6d62, 0x9b309bd4,
+    0x78d71a33, 0xd4ca267f, 0xa3cad790, 0x794c4de9, 0xb948006f, 0x6f075715, 0x649b869d, 0xf80ea119,
+    0x95cef9dd, 0x18aa8dc6, 0xbfd5df34, 0x601d7796, 0x43f96073, 0x88947ff4, 0xf7f2b878, 0xb60dfdd7,
+    0x706d53bb, 0xf2e97691, 0x657930a8, 0x670e38aa, 0x98c79e2d, 0x5f44bb7c, 0x6963b341, 0x0c1c653a,
+    0xa8048527, 0xddfb4b85, 0x3924bbd6, 0x3b3fe0ba, 0xb721a46d, 0xe314b91b, 0xef6008cd, 0x7893374d,
+    0x50ec04b7, 0xe06a6de9, 0x2e0156f3, 0x77215191, 0xcfa86a3c, 0xc41ffabc, 0x3e9470e4, 0xc5bfd469,
+    0xe0998348, 0x1ba80b04, 0xcae881db, 0xde9d783b, 0x5ef34c5a, 0xda561678, 0x7b16a5bd, 0x5fd879c7,
+    0x14b5bc74, 0x15119429, 0xe6e97f4f, 0xde2de508, 0xc0ac3a7c, 0x0b503e2b, 0x9e066370, 0xb8c93ad5,
+    0x0e9cf506, 0x6261d820, 0x000e18b5, 0x851b33b7, 0x11427bb9, 0x5c9de362, 0x012be3be, 0x1541d858,
+    0x79d562bf, 0x4297f909, 0xe4ae243b, 0x3f15a08f, 0x0094fc8a, 0x8c6b87c1, 0x458d711a, 0x3bb30462,
+    0xacc67df1, 0x1bb979d1, 0x34af3652, 0x4e16d9bc, 0xb8d5a37e, 0x38ebcf5f, 0x76ad0bd8, 0x827fbd6f,
+    0xa406cc9e, 0xd45de24d, 0xd98600bb, 0xa135a6d0, 0x7dc08dc8, 0x21fc79fa, 0xdce31362, 0xbbfd5418,
+    0x6341a05c, 0x44b9c501, 0x0ab6e321, 0xbdcb8508, 0x2bb1216c, 0x24b2b360, 0xf7c9d73f, 0xa87013c7,
+    0x9febe89a, 0xcb0c8de4, 0x5fafb4f2, 0xb427c5af, 0xbf3f9aa7, 0x398b1226, 0xca6962bb, 0x44c3ccc1,
+    0xc109890b, 0x930d0ab6, 0x9f45ef13, 0xaddbe853, 0x818ad514, 0x6dff529a, 0x5221310f, 0x2c4174fc,
+    0xe14e1d01, 0xa359b664, 0xe8405805, 0x5ec7892a, 0x9296051b, 0xc26e717f, 0x6a1cf4fc, 0xe976a2e8,
+    0x4cd301b5, 0x49c1fd9f, 0x5d93625d, 0x4a033f86, 0xca75a933, 0xd66b8480, 0xedb44c05, 0x947f934b,
+    0xb312ebfe, 0x39af661b, 0x5519e301, 0xe5222fdb, 0xdd07b056, 0x2d5f2c32, 0x88bfea84, 0x94864e6e,
+    0xa2527728, 0xcde12909, 0x06a3fc32, 0xd47221cc, 0x41338fee, 0x68b05299, 0x72a0ea5a, 0x3dc5a61c,
+    0x9a5810e8, 0x4e43912f, 0x445f616b, 0x582eef93, 0x766ddd0a, 0x4db5264d, 0xd926299e, 0x5a92ecae,
+    0x38811900, 0x8587474d, 0x85f0a4f9, 0xdb466070, 0xb0393149, 0xfa21689e, 0x5d8c53e5, 0xdb69c656,
+    0x247c0f6f, 0xaa39f4be, 0x021256ce, 0x91269158, 0x10d40561, 0x48199b87, 0x8bfe0f3c, 0x4c5134b4,
+    0x4422805d, 0x21418323, 0xb85110dd, 0x226b7608, 0xd7addc9a, 0x6a751331, 0x504262d2, 0xcda8e33e,
+    0x79393ef0, 0x5dc12a3a, 0x84524455, 0xdc7a08a6, 0x51440a0d, 0x8793ba05, 0x72a71bb1, 0xed3c8a21,
+    0xea1e62dc, 0x6f252a66, 0xc718884f, 0x1cc4d3f9, 0xb4f30aec, 0x594fa89e, 0xaa85a944, 0xa4783689,
+    0x2590646e, 0xbe0c1d60, 0x2dcc6512, 0xa414105a, 0x217a8059, 0xc6fdf69b, 0x3a75f716, 0x13d8fee4,
+    0x003f4fd7, 0x70c565fe, 0x0a4fdba3, 0x3deafb28, 0x42dd2939, 0x6a6d046d, 0x47df2bc3, 0xb488d8a0,
+    0x169181f9, 0x1e9e8a7b, 0x792d5ffb, 0x91426645, 0x0d7329c4, 0xd827655a, 0x823e6eb2, 0xd03c511c,
+    0x9693c61a, 0x28f624ce, 0xa8e9a491, 0x9a4ffddb, 0x3bfe76eb, 0x1fc6c359, 0x70586b9f, 0x192b9000,
+    0x8fa92009, 0x285494e0, 0x4a3dee4f, 0xd29ebabb, 0x7e154811, 0x6da7829c, 0x48a89a77, 0x066e14a6,
+    0xfb02f80d, 0x95545065, 0x4264538d, 0x84468922, 0x1ae7b046, 0x988c7b02, 0x8f440b51, 0x027019d0,
+    0x19801af3, 0xec6ca531, 0xcb7b4e92, 0xb3988cd4, 0xcf0a9935, 0xdbd69755, 0xa70917c9, 0xe156b56c,
+    0x5b702d7a, 0x12ccd5b7, 0xed4e3701, 0xc9872c98, 0x87c3a142, 0x5af6a372, 0x370a6c15, 0x626314e4,
+    0xc374e078, 0x1ab14696, 0xab0ef5d4, 0x26b2c63a, 0x32e7b807, 0x8844fd03, 0xb8be7a07, 0xe906dc35,
+    0xb550d7f9, 0x652ca7bc, 0x618a58a2, 0x91854207, 0x17e6af31, 0x3d617f90, 0xda367c20, 0x426cea1e,
+    0x6f097402, 0x2b3a32c0, 0x226bb4d1, 0x3827fd80, 0x17af0a83, 0x81cc3e3c, 0x6f296103, 0x69c8348d,
+    0x3e722674, 0x081fae56, 0x34649887, 0x5a4bbb41, 0xddc3d43b, 0xfaf67d6a, 0xcf4aec61, 0x54d23dc0,
+    0x4c8f4f3e, 0x5ae49842, 0x6933dc43, 0x7ec30167, 0xd26ef5ec, 0xc7244019, 0x3eef09b1, 0xb89352dc,
+    0xbf462111, 0x480c54bb, 0xc433b399, 0x8c213925, 0xcc7caef0, 0xf1cdf434, 0xe7660f8d, 0x549434ed,
+    0x14ad5491, 0xd2c4e2ed, 0x8bec8edf, 0x053995cf, 0xff0d22e8, 0xf937dce5, 0xe340f060, 0xac8b4681,
+    0xd30b327a, 0x584993fc, 0xcddbadb2, 0xf9394029, 0x779f3a16, 0x2568cdf1, 0xddb8efc2, 0xc9986562,
+    0x40c1e972, 0x21754c57, 0xf6170402, 0x64a2b9b1, 0xd853cdab, 0xb40ba627, 0xc29dc000, 0x809e85e9,
+    0x00000000,
+    0xb32693a9, 0x00b25024, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000001427247692705959881058285969449495136382746624 */
+  { 0x00000000,
+    0x8e71cd32, 0x74905005, 0x686acba9, 0x63fca38c, 0xc144985f, 0x3785db6a, 0x275ece3f, 0x7ba7d9e1,
+    0x17711625, 0x5edfa555, 0x9d0657e6, 0xa43259f0, 0x8477b5a5, 0x577062ee, 0xae09cc64, 0xf29f7220,
+    0x8902caab, 0x3718025f, 0x07139c17, 0x4d4a7b6e, 0x8616da34, 0xd40b2b84, 0xc6d37c26, 0x7b034aa5,
+    0x6818852b, 0x374cfc0f, 0xea31f23d, 0x73c579f5, 0x6da4dd68, 0x77a7e643, 0x2bf86d7b, 0x8ee1fa1e,
+    0xe47aaa39, 0xa688bd64, 0x55d7975a, 0xb06c9832, 0xda332f52, 0xbb0c7e0b, 0x81776df4, 0x4d5e9d2b,
+    0x8c336603, 0x4e7a7cc8, 0x95ac18cc, 0x39094d35, 0x45c99a09, 0x9ecbf7e6, 0x5e9fe5ee, 0x5a3c1b5d,
+    0x985e873b, 0x98a6ba6e, 0x6a805eb2, 0x9a9f2dc1, 0xc0785872, 0x20dd7a31, 0xd430cc2d, 0x50c911c6,
+    0x3328fdb9, 0xaa2cdeac, 0xdf5ff577, 0x8eef1de8, 0x5de97099, 0xe12b2bfe, 0xbfc4a6a5, 0xee9da5a0,
+    0x8d76fc89, 0x21da0188, 0xc59efc58, 0x0992badd, 0x658d0910, 0x9835deaf, 0x7d51b518, 0xdeac0474,
+    0xbc182af8, 0x91b782f7, 0xfb7aac17, 0x1fe78904, 0xe4886b56, 0x7717f951, 0x909c4e46, 0x2923d8f4,
+    0x52cc8237, 0x6a7eb777, 0xe8dfa7bd, 0xefc7bae7, 0xa61ad285, 0xec6662e1, 0x43455c29, 0x66d873e9,
+    0x60ee4f58, 0x3f4ff0af, 0xd8ab4f6f, 0x299b2156, 0xead7c475, 0xaf5aa9ee, 0x91d18767, 0x3c4ca11a,
+    0x27d92015, 0x64b30ede, 0x2bab7991, 0x7e2374ef, 0xc0ee7269, 0x121f0dfd, 0x70136262, 0xe595d5f4,
+    0xce4ef624, 0x185db4f2, 0x980175aa, 0x7994895c, 0x35ec06b8, 0x42d3069e, 0xd7da00ee, 0x92b4957f,
+    0x6d9be0b5, 0x6dcefe6a, 0xbad5f17d, 0x3b949d99, 0xe1f2df00, 0xf81bfb19, 0x4b7cdd5c, 0xbbfb13ef,
+    0x07aa2c7f, 0x3d5eb48a, 0x732b7ca8, 0x0f81ac73, 0x5a82d5ad, 0xd14947da, 0x909b3bcd, 0x93535d94,
+    0xae45a612, 0x89c64c92, 0xb6939ba7, 0xbf99be9b, 0x4951306b, 0xec390904, 0xc1585220, 0xcf282cce,
+    0x3b07a885, 0x198051e8, 0x6161ea01, 0x1bacbc22, 0x5e8a682f, 0xf0e013ca, 0x6bfbf08e, 0x875eaadf,
+    0xfbfaed2e, 0xfcf8752f, 0x14699866, 0x735c26bc, 0xca73fdff, 0x831c01bc, 0xf80a2fe3, 0xe26ff4e5,
+    0x01b84037, 0xd4979515, 0x6b8f5df2, 0xb4d9dc88, 0x120173bb, 0x200fb47f, 0xd9624031, 0xb96afecc,
+    0x8ae94b64, 0x69540218, 0x6dceaca8, 0x37bbc788, 0xec012e41, 0x2f67dac9, 0x6a013fee, 0x257d83c3,
+    0x5dd0fe10, 0x89ca545c, 0x15a78b7a, 0x802ffc4c, 0xbd801aba, 0x151b821f, 0x0deab021, 0x69bcd1c1,
+    0x9eca3794, 0x7750a552, 0xef4b6752, 0x7bc1d1b2, 0xe11640ef, 0xfe8c5dba, 0x8eb7a4ee, 0x609ca39c,
+    0xf3006f4a, 0xdad12979, 0x203a01fe, 0xece9d4e5, 0x3cbbad46, 0x9192e5c3, 0x9ecfbf06, 0x9bcc79db,
+    0x7fbbf5bf, 0x477e7e0e, 0x867ddd97, 0xf407df4b, 0x28200ec9, 0x8645cd35, 0x0f599050, 0x6b44f01b,
+    0xc2f99c67, 0x9d63678a, 0xada0ff1c, 0xd484ee7d, 0xb37a892a, 0x1e5cf147, 0x0314d5de, 0x0a76f967,
+    0x023a5024, 0x638de6e1, 0x24597277, 0x3c31d2ac, 0x5ac04346, 0x16f34fb7, 0x64e8adb2, 0xbebb6324,
+    0x1f6840c4, 0x1527bc1a, 0x33ec15a1, 0xc679542c, 0x00ab8bab, 0x9f65fae2, 0xbd43a7e5, 0x81efb1cd,
+    0x5ec7065a, 0x968cfa1a, 0x38b26e7a, 0x0e1ef8a8, 0x6b65ac5b, 0x9ca2cc67, 0xb972cfe6, 0x109d12c2,
+    0x4231edee, 0x1c383af2, 0xbd19b7f3, 0xd31c2b5b, 0xf90120ad, 0x95845bdd, 0x1391d6a8, 0x2dfabb7f,
+    0xe6eac283, 0xaf20aeb3, 0xeb8a2af8, 0x3b3f8723, 0x8e9d7421, 0xf7d6c013, 0xe35cb0a7, 0xacda0c29,
+    0xd455fd25, 0x28837a1f, 0x7b8017a2, 0x1432cbfd, 0xf87e2eff, 0x94b7c8cf, 0xd29c0f68, 0x5d57bab5,
+    0x8e51bdc3, 0x0c7a8c98, 0x93f2aa4c, 0xa82227ed, 0xacdd6c36, 0xb12de573, 0xa24e5e8c, 0xb4eebc35,
+    0x14f8059c, 0x3dd9dbe5, 0x4ddb7a61, 0x61e290f8, 0x0acb7167, 0x0caa8da2, 0x19601aa7, 0x0f71ac2e,
+    0x6699bb5a, 0x90111103, 0x6aab3bfd, 0xc5a12c10, 0x10a81674, 0x90f56153, 0xde6aad81, 0x95e271a2,
+    0xc2a6a408, 0x98a1f2a3, 0xe11ebce5, 0xf1436fdc, 0x336bbfdd, 0xb814812b, 0x5c421f6a, 0x30a2627c,
+    0x8288dc4d, 0x5d23f5d6, 0x1a0d9098, 0xe1e39161, 0x6b8472d3, 0xc996322d, 0x200f2947, 0xea54f9a6,
+    0xa49f615a, 0xe5d2ac26, 0xb42ecb0f, 0x9dbd7f2d, 0x66c0cd37, 0x8302dca8, 0x29a0b29c, 0xb7a553e7,
+    0x9e4c2727, 0xc31df5f1, 0xa920208d, 0x95e362dd, 0xda82a09f, 0xda0dc66e, 0xa3298975, 0x8a377b00,
+    0x4ce42a8e, 0x6a6f5db0, 0x4acb6119, 0x5ac217a2, 0x727d5618, 0x33f1d8c4, 0x95d93ec0, 0x303ca9de,
+    0x950b6972, 0x9d1fcc60, 0x13099d4f, 0xd055f900, 0x753239b9, 0xc7ac73c1, 0x09ffdd51, 0x32cc99c5,
+    0x4dffd91b, 0x5970a967, 0x16cd01a9, 0x3aed372b, 0x8fd5ea5b, 0xa66d63c6, 0xc1226e9f, 0x0943e7b7,
+    0xfc4348f0, 0x96e01c1e, 0x7c29fc0e, 0xa4a6e2be, 0x4fe623f3, 0x5be29a5b, 0x7cd4219f, 0x8443c4f3,
+    0xc2c97138, 0x478253dc, 0x3ca907df, 0x34bb1c99, 0x6b6c3fac, 0x7c6d83ad, 0x7f9769d3, 0x47668b02,
+    0xed95cb30, 0x0c2f2de1, 0xff19705b, 0x24659eb0, 0x88de7e58, 0x5bbac9c1, 0xe54c4cb9, 0x904b636d,
+    0x14e49e35, 0x77b3122b, 0xdf70e30f, 0xf80ea649, 0x609023d3, 0xe889ef9f, 0x084315a6, 0xc4e4cfe1,
+    0x1b4069da, 0xd2e7c2b2, 0x7c97c610, 0x6856eef5, 0x050eac48, 0x7507a1b0, 0x312680d4, 0x2f4a8953,
+    0x612e3b3a, 0x18f29be5, 0x9be3f683, 0xc690df1a, 0x5f10b004, 0xf87357ee, 0x99c3cffc, 0x8a9d5b39,
+    0xf82d7d62, 0x391be8ac, 0x09a70241, 0x7e9613d1, 0xbdcdf121, 0x76ddadf7, 0x45720447, 0xb072945f,
+    0x899d699b, 0xfa4d9447, 0x49875aa7, 0x4d544fa2, 0x1103f44a, 0x790caf5e, 0xee1bbf3c, 0xb913634c,
+    0xa0fea2e7, 0x6fe6c836, 0xa3591c7f, 0x5f6859d8, 0xcf43c209, 0xf4378388, 0x8ba40bbb, 0xd8e01b1a,
+    0x618ac34f, 0xb3d0ef03, 0x9e05bab2, 0x255fde51, 0xdf1f7e1c, 0xe255506c, 0xceabeabd, 0xa67aaa66,
+    0x38221321, 0xe70ed212, 0x975632dd, 0x9a06f7ca, 0x64924c21, 0xd60c7a42, 0x1a7df5e0, 0x239ba823,
+    0x269751aa, 0x276509af, 0xcb83f06b, 0xe93d1692, 0x8d6190c0, 0xaac059db, 0x8dcb7971, 0x2cb9c8a6,
+    0xc1af2631, 0xa809c00c, 0xcee6f359, 0xac1c084f, 0xb6433950, 0x570aa149, 0x7e53b831, 0x6d250eed,
+    0x211b119a, 0x559838c7, 0x65ee5205, 0x2172a811, 0x5876cbca, 0x48281b25, 0xb1e815ec, 0xcd527952,
+    0xe8d602a4, 0xab1ac5fe, 0x7653338e, 0x0021cbf3, 0x2051ebd4, 0x9ebc0bd2, 0x5d911379, 0xeb2157b9,
+    0x218eab24, 0xf968c5ce, 0xb60f12de, 0xeeb86826, 0x31ea4ce5, 0xbdd7c036, 0x1d0d4f9d, 0xeec72cda,
+    0xe9ecac7b, 0x4e6a8e0b, 0x82da3d0f, 0x9b2b2e53, 0x284ec395, 0xe8978048, 0x7dbb937e, 0x0377e04b,
+    0xd43eabf4, 0x59d2fcf3, 0x29483db5, 0x9999263c, 0x3145c671, 0x12c49e77, 0x8858478e, 0xf182b32d,
+    0x926cc11f, 0x285afaae, 0x2f15f955, 0x0956259e, 0x872e94de, 0x7c2fccae, 0xf0fd1d43, 0x3109964b,
+    0x4d784232, 0x2ba0430e, 0x2d95db07, 0x27ca6f69, 0x8e1e9d14, 0xf0d2ce13, 0x609d09a0, 0x051f0bad,
+    0xb8b7a366, 0x59850034, 0xf657b4d8, 0x02c89874, 0x590590ee, 0x0c59883e, 0xd43ce6aa, 0x7ca9d68f,
+    0x903e02a7, 0xd01b3a51, 0x1ee66098, 0xdbc202ed, 0xaa88d58c, 0x9d490a44, 0x3179469b, 0x64d7c7e9,
+    0xa9d44ab6, 0x83ebb0e4, 0xc6c11b9f, 0xdefc984e, 0x5cd125c1, 0x0fed37fd, 0x11e91a27, 0xe4aa12d5,
+    0x30b59b3d, 0xe26cdbbe, 0x7f6c4abe, 0xfa045f1a, 0x82c54483, 0x6102659e, 0x32821ed6, 0x014d8683,
+    0x3291ca02, 0xd74e84bd, 0x2f9981f0, 0x8f59d9b8, 0xbf09d1d3, 0x18c1e61d, 0x9b148907, 0x9d43aa67,
+    0x8cf3bedf, 0xc59bdacc, 0x1038991a, 0x2802ba50, 0xd85a102a, 0x81a9c8e3, 0x1aeb8227, 0x0a3d0c77,
+    0x6b759d8b, 0x6eb8bbb6, 0x187fca4b, 0xe87483cc, 0x5ce07517, 0x58e5702b, 0x25d9c839, 0x488e33f3,
+    0x9288f845, 0x9ed62fe0, 0x50aa3585, 0x07a386ab, 0x6d04b71d, 0x11852b3a, 0x7f5f1766, 0x7975df46,
+    0xcd94623e, 0x783fb294, 0x6560e0b0, 0x1d3e33cf, 0xd4b0aecb, 0x2b6bba58, 0x856e7a75, 0x96fd9fd6,
+    0x17fbc164, 0x12a5a40e, 0x29b3d7f8, 0x13585df7, 0x4805cdee, 0x542a575b, 0xe6a7c521, 0x339407c5,
+    0x818468fa, 0x5c893396, 0x1ca9c7f6, 0x02342494, 0xca8b23d0, 0x68cd45c0, 0x82c95ab9, 0xc684e487,
+    0xb23a8284, 0x4b075104, 0x1b197e23, 0x0e8fdd74, 0xc8632a86, 0xba55b854, 0x9fead7c1, 0x8a555d64,
+    0x5515b3e8, 0xf1db728f, 0xa21cc572, 0x7bfe3f74, 0x2d57f56c, 0xdbf32987, 0xdf962772, 0x2dd3f0f9,
+    0x5499ae0b, 0x19ee9250, 0x04c95b1c, 0x1940afd4, 0x0f69e587, 0x75f37f7f, 0x9bce59ed, 0x17a51dd9,
+    0xaa460b16, 0x0788a363, 0xa2bc8351, 0x144231b8, 0xc16c3240, 0x223f7ab5, 0xd84655eb, 0x3d0cd6cc,
+    0xd1f87902, 0x63a56462, 0x3571e096, 0x26376045, 0x2b9c75b4, 0x8887caf3, 0x55cb9ab9, 0x10a7bdd5,
+    0x55c08dbf, 0x6ed91089, 0x2e173634, 0xc0298eca, 0xb7236ea5, 0xe355daca, 0x59bfc5f4, 0x9cf16867,
+    0x4101ed94, 0xe2ca001a, 0xab3200c7, 0xe3f4089c, 0x6d24080b, 0x67e933c4, 0xad01d9d4, 0x3e80de31,
+    0x714b36dc, 0x4f010cf3, 0x82cf10d9, 0xb94d7b8a, 0xe4baf2a9, 0xfc04c6ef, 0x33ea67c5, 0x87cb6393,
+    0x82258820, 0xda891427, 0xe126cf62, 0xd15a8bcb, 0x61d16bc0, 0x14e078c9, 0xfa9dfa3b, 0x8209af9a,
+    0xaff298ce, 0xaaf1065c, 0xb4a6353d, 0xbacdc9c3, 0xf0339a59, 0x160bb494, 0xdb899990, 0xaedc7488,
+    0x7d7ef3d2, 0x9ad18ca3, 0xed4b0dd6, 0x7be638bc, 0x8db0b925, 0x86b2c2e2, 0x4bc6c29b, 0xf9188183,
+    0xc8fa44c6, 0xbee26cc0, 0x61181736, 0x7bb75d09, 0xff05eae4, 0xdd0613a2, 0xca0b3eb9, 0x950bd932,
+    0x4aca0206, 0x31983e40, 0xe6b42a88, 0x40c71bb8, 0xdcec9366, 0xeec22e24, 0x15573ac6, 0x236f40b5,
+    0x1faec2bf, 0x56161e1c, 0xd735224c, 0x721e527a, 0x024b3e6f, 0x690c3513, 0x3bfbcad3, 0x12cfb63e,
+    0x09001ced, 0x2382d588, 0xc6cdde4b, 0x78f7c780, 0x49accd52, 0x54061814, 0x16cbc385, 0x3aa163b9,
+    0x43bcf189, 0xbf4878c8, 0x5a2111ea, 0x8713fab8, 0xaa92d367, 0x1195565b, 0xe9245ffa, 0xaa135989,
+    0x57605db6, 0xdb64850b, 0xd25d4090, 0x6da6b587, 0x9c2c4471, 0x46adaa10, 0xc57317b6, 0x26731ef9,
+    0xabe70763, 0x0dfb5908, 0xfc64b4c3, 0xdd876809, 0x97a8717f, 0xb41cf415, 0x4a18b5ff, 0x09213878,
+    0x32fb5680, 0xe658f83a, 0x1084e527, 0x7d54926f, 0x27af3184, 0x4eb9ef3b, 0xe4c13d7e, 0x3a2ba08e,
+    0x02e03a13, 0x2da56d33, 0xa4813325, 0xdb4388ca, 0x85bcef29, 0x37797579, 0x71764496, 0x73e4fc55,
+    0x8d2b3c36, 0x26c94e52, 0x9b6ecc55, 0xfd65d113, 0x9a87c6d9, 0x30b4408d, 0x90b75e61, 0xd8b1f91d,
+    0x34695cde, 0xdba0273b, 0xefb6b151, 0xe89c6ad2, 0xf9a7aefc, 0xcf66314c, 0x33f6c9c7, 0x9b51644b,
+    0x8fe4d5ff, 0xf9174f9e, 0xed85cf16, 0xe0dc21c7, 0x93ff4fd9, 0x0cdce53a, 0x9c8945a8, 0x99b55fbd,
+    0x60a81475, 0xf1935f81, 0x8e2d2ae1, 0xae45a4a8, 0x55e025d3, 0x695f92da, 0xe526068e, 0xdc3c369c,
+    0x1739ed03, 0x5561e7ff, 0xc6076311, 0x37afbc71, 0x2d62e63c, 0xbecf7d6b, 0xe17f0122, 0x8b941fcc,
+    0xa470a24b, 0x97a9f9da, 0x800121a8, 0x2f1b2997, 0xfc8a85e1, 0x29336dec, 0x91739480, 0x7b90fa5a,
+    0x39a4dd01, 0x79b09437, 0x29cb920b, 0x8d4d91e8, 0xe7aa2e9f, 0xdb776990, 0xeb933bf0, 0xf0452936,
+    0xefce06e3, 0x512c0a8c, 0xe03f336e, 0xfdf12054, 0xc5a7ed69, 0x8abd38b0, 0xc14e2a22, 0x63c1f288,
+    0xefbfee2f, 0x10e23ec4, 0x0a80ae8e, 0x5b7572f7, 0x330b0325, 0x4edad51b, 0x277c0e33, 0x768dd125,
+    0x753efcfa, 0x358c7b50, 0x9e9e0a81, 0x86cb19bb, 0x8237f3aa, 0x19253bce, 0x1f3a15f0, 0x36f01959,
+    0x8e0a06d4, 0xbe4ce717, 0xcb26598c, 0x7f528d2b, 0x42788e7b, 0xfc35e4dd, 0x55a00168, 0x6a1a1110,
+    0xf0863f1b, 0xf69a65c6, 0x9eef1efb, 0x3c73d292, 0xf59a9e55, 0x2b407235, 0xe3e9b088, 0xb43eaa9a,
+    0xb94c8434, 0xaa72a141, 0xb5c04758, 0xf95eed30, 0xf107e913, 0xfd310bcb, 0x13dbda2b, 0xca23db57,
+    0x74628c90, 0x3ca3a09f, 0x6968e778, 0x6437e552, 0xfd993e6f, 0x7fb8b811, 0x694b8d85, 0xe63c29cd,
+    0x759a29a2, 0xccc7aec0, 0x4341327a, 0xfd48c08e, 0xe48696e1, 0x40095657, 0x4f3dbc45, 0x4474a9a5,
+    0x26ade36e, 0x3a8df239, 0x0f88a6e2, 0x5c68d4ee, 0xd6edd1dc, 0xcef72eea, 0x477f6001, 0xea0faaba,
+    0xd6949a46, 0xb1e83b91, 0xb48f9aee, 0x84281298, 0xb3ec1153, 0x950b6383, 0x3cf1292c, 0x9d3215bf,
+    0x277e1434, 0x5bb700ad, 0x2a0ce302, 0xf2d414ec, 0x28aafc49, 0x5a124f2d, 0xc85010c8, 0xcf5bbf30,
+    0x9ad74596, 0x9d7bfa1f, 0x769f3aac, 0xef8c5a75, 0xc8337f37, 0xffeca34d, 0xa61b91a6, 0xcfe9a80d,
+    0xa42f9dd9, 0x7fa4e640, 0xc40fc72e, 0x43d36b35, 0x1357d3c8, 0x2accb092, 0xf33dc8fb, 0x74970bdb,
+    0xd2ae1020, 0xebc55012, 0x18bc1ac3, 0xe49a7416, 0x6b1d7a0d, 0x674babff, 0x36a085e3, 0x7d56cf65,
+    0x5baae185, 0xa1f1e28f, 0x9a271980, 0xd09775ff, 0x3711dda3, 0x04182c76, 0xb7ed6241, 0xd6d40654,
+    0xe5aaa82f, 0xd7163cb3, 0xb7a5f556, 0xd6f53942, 0x000e775b, 0x18dbf052, 0xb705905d, 0x97330ab6,
+    0x31ec8a01, 0x7c17af89, 0x39a88d96, 0x923e9807, 0xf93e5af5, 0x3d4a9178, 0xb39fbf63, 0x50181c68,
+    0x028e25c3, 0x2084724f, 0x3a4ec099, 0xea156a5a, 0xa233d628, 0x4dce7d7e, 0x66169f98, 0xa0f71d89,
+    0x621256fc, 0x422f8d1c, 0xcc205a1b, 0xde0a9030, 0x3fdda44c, 0xaf5b92b5, 0x22c61a87, 0x7e7eacde,
+    0x822c3be9, 0x51b4e5ca, 0x5f569434, 0xbf73d58b, 0x7e553b12, 0x2a7d0ca4, 0x119fc9fd, 0xf73dcdd6,
+    0x3c0b9506, 0xf9bb7ca0, 0xdb8d274b, 0x8bd418aa, 0xd7405bcd, 0xc5a6672a, 0xcd44362f, 0x6423fec1,
+    0x54774c25, 0x147b35bf, 0x6741a20e, 0x0d4be203, 0x98397ae4, 0x74bbac30, 0xa7e7a86d, 0xb7203916,
+    0xa5d2fa6a, 0xf6fe0b9b, 0x6980bb98, 0x2f4b5046, 0x37c722da, 0x298790d1, 0xb2dbc597, 0x129dd8dd,
+    0x61e28044, 0xe5be6de3, 0x21202164, 0x80b3df2c, 0xfbe37b72, 0x3a3f7288, 0xe3820984, 0x17278f67,
+    0x2744981c, 0x73631d44, 0x8ff1b523, 0x04564381, 0x5325d3b6, 0xa67ce02f, 0x3588b282, 0x57454d03,
+    0x6152ef7a, 0xf3131711, 0xdbb61f04, 0xf1305ec4, 0xb3336796, 0xd35c87b4, 0xa3300505, 0x804f2a79,
+    0x00000000,
+    0x599349d4, 0x80592812, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000713623846352979940529142984724747568191373312 */
+  { 0x00000000,
+    0xa2ccef8b, 0xc024e742, 0xdf5f40d0, 0xba125965, 0xbb0caef4, 0x7b4485a3, 0xde91e1a2, 0x2eecc92b,
+    0x0a09be01, 0xebaf3372, 0xe05f817a, 0xc449d4f4, 0xa98206a5, 0x57250798, 0x1e86e0f9, 0x2bd117e2,
+    0x25a568c5, 0x395fd58f, 0x3505015c, 0xcc799cd7, 0xb9d4af60, 0x62bc6f2e, 0x605684d2, 0x7c73b2db,
+    0xebb1fe0a, 0x39d2827a, 0xa4dbc8af, 0x863dc474, 0xc0dba65e, 0xf3c9b8d6, 0x4e6ef765, 0x4cd721c7,
+    0xb578c478, 0x39e01cbb, 0x4962839e, 0x17b4973b, 0xd2f49824, 0x976c8f12, 0x7cc3a615, 0x3e29848c,
+    0xaa4f5e47, 0x8cbbab28, 0xb2848360, 0x5aa231c6, 0x955ebd4f, 0xc43a4d91, 0x848309b1, 0x8535da07,
+    0x9edc466f, 0x368e5d25, 0xf2cdb3eb, 0x8370fe70, 0xae5ed3a2, 0x472613da, 0xfa24d248, 0x5da8ca1c,
+    0x70a7bd19, 0x0057e478, 0xdd12301b, 0x31012a50, 0xadfee71f, 0xa1cce509, 0xba153293, 0x84a9a4d0,
+    0xb68ba852, 0x669ff615, 0xab4879fc, 0x548a966c, 0xa15af62f, 0x3bf14d2f, 0xadd3c5ef, 0xabd9c518,
+    0x492b3f40, 0x53e3597e, 0x167f1849, 0x31a39c79, 0x189581e1, 0xb56427a1, 0xed3ea252, 0x717e25d7,
+    0xd452112d, 0x8835c81b, 0x0686599b, 0xaa4d2ca9, 0xbd176ed8, 0xefbc0429, 0x51e2fde0, 0xa2f3aa4e,
+    0xd2dc4824, 0x423a48de, 0x74bf13d5, 0x87b8ed6c, 0xfccd9e17, 0xbb7ce4a8, 0x1723f752, 0xa61016fe,
+    0xc9e7b6d9, 0x2060f050, 0xb5b9cb38, 0xc0c3a558, 0x04ccde69, 0x02bbf2e8, 0xe1b493d8, 0xd4d6a005,
+    0x220c3e21, 0xf86e2375, 0x5955c11d, 0x265a285a, 0x8731cc69, 0x425e457a, 0xb9e67ba4, 0x07c01100,
+    0xeb7aaedd, 0xb9328cd4, 0x6e96e1ad, 0xed0bef53, 0xf8fd2c38, 0xf0d68ef1, 0x5bdfdc8d, 0x166bd96d,
+    0x8aa308a5, 0x2ea96435, 0x4e852a49, 0x71d2e1f2, 0xf4073686, 0xff2d2716, 0xa6d19897, 0xdd8b279f,
+    0x2d26d461, 0xd9e6389a, 0x2dcd9662, 0x3c1a7247, 0xf9a91881, 0xb2d8bca7, 0x4c6f108a, 0xdd3e85be,
+    0x9855eeb8, 0x382e8c3e, 0xc42150b2, 0x7ca9ba2e, 0xc42d1975, 0x504ac18e, 0xe1339ab0, 0xb2ae681c,
+    0x248865c0, 0x7e62451b, 0x726311bc, 0x5c825eb2, 0xc9289997, 0x454d6f3c, 0xac2e7438, 0x00210d34,
+    0xa1ef7097, 0x81bfc8ff, 0xe81136f8, 0x46a2186b, 0x39f43a69, 0x5a89ff57, 0x33a5be2c, 0x60fc9a6b,
+    0xf0087ded, 0xbca24f5f, 0xd9f04f07, 0x9da97e7b, 0xf4046755, 0x73e0a9b4, 0x1bb38944, 0xa0517b1b,
+    0x7fb62c84, 0x2215bcc5, 0xda9efad1, 0x80b48355, 0xe4e24f5b, 0x4681a4b9, 0x4217dcd2, 0x371b4d4e,
+    0xd36f6d0d, 0xd1f3a126, 0xe08a9e6a, 0x77f6546f, 0xa74d165a, 0x14c2ca48, 0xd7e4581a, 0x166b399b,
+    0xdfbb3c63, 0x8f34a3f1, 0x6a2f73f9, 0x1383f6c8, 0xd5049475, 0xa63e3807, 0x6d2509b7, 0x099983e4,
+    0xb779b461, 0x1e681dd0, 0x70fdab0c, 0xee93565c, 0x883d31d4, 0x3aafe926, 0xed92b726, 0xcc354fbb,
+    0xf9f44a7f, 0x0f977b65, 0xda17e83f, 0x276f5eec, 0x96813be9, 0x87194a02, 0x7bafdd95, 0xbbb2f25c,
+    0x20f0c4c3, 0x15081bc3, 0x5efb6e9f, 0x989c3c45, 0x4c890d41, 0xdbd788dd, 0xd720a969, 0x4f0e28e4,
+    0xd400b719, 0x189cad7b, 0x89ecadc1, 0xbaa0b14b, 0x4e8d3d5f, 0x6c603dd9, 0xe08a7d21, 0xb6ffd4b7,
+    0xc013d3c0, 0xcec11701, 0x11a1dfda, 0xb64f1a94, 0xa6b8027e, 0x9a1278e8, 0x2fb852bc, 0x81d285e1,
+    0x58bf97e1, 0x3446aea9, 0x10042c54, 0x240fe7b5, 0x736ffc44, 0x0ac191ab, 0x4580fd4a, 0xd51d5be4,
+    0xc6049536, 0x3d8c6188, 0x5c778666, 0xdbadcb88, 0x106bbd31, 0xf1b761a4, 0x708ce653, 0x7f3f8c38,
+    0x7e8ae2e5, 0x73499055, 0xa5a0e47b, 0x5541eefa, 0x6e17ae5f, 0x82bd30ac, 0xac1d8de3, 0x5b071b33,
+    0xfdb1079f, 0x2a1472f3, 0x6522951a, 0xa2cc67ef, 0x19bc3e79, 0x483a49b7, 0x0034aadb, 0x6b3cf318,
+    0xe9e90d82, 0x35467592, 0x88b91fa4, 0x4adac268, 0x13e5a469, 0xd71c81e4, 0x1cad0968, 0xff8367f6,
+    0x881eff0e, 0x75619804, 0x7d3b98c3, 0xf986faae, 0x41541df2, 0x8dceea4d, 0xb58ce7dd, 0x98f08bc9,
+    0x59df408d, 0xbc5358b1, 0xe8fb2d4b, 0x255c0ed2, 0xa9163ce2, 0xf54b9b79, 0xe6cb39fb, 0xd0570d15,
+    0xc0373bb5, 0x642229f8, 0x57e12f32, 0x94557d46, 0x0f5b224d, 0x3e8d4c2f, 0xae7cb553, 0x61431064,
+    0x29d7399c, 0xf8dcab5e, 0xb28a734e, 0x6bed28b9, 0x57dc450f, 0xdbbcdd26, 0x06ff3454, 0x7e93c1ef,
+    0xfdd0d4fe, 0xc77e2d7e, 0xa6644ec8, 0x3210b395, 0x6ee97943, 0xef8b4360, 0xccf4976e, 0xb3ace8d8,
+    0x5d1c9c84, 0x69f34980, 0x69ffe600, 0xe5051d7d, 0xed98ce2c, 0x93672208, 0x0164b301, 0xaabf9c1d,
+    0x07f652f9, 0x40f1170e, 0x7cf55525, 0x43351891, 0x1848f72e, 0xe739d92b, 0xc016d8aa, 0x55d4196a,
+    0x99f2d36d, 0xbd426ebe, 0x91905933, 0xdb39d6e6, 0x93b7fcfe, 0x00271594, 0x75c8e614, 0xe86bcd4f,
+    0x59cf3151, 0xb5ebe1e9, 0x276b1fdc, 0x76935d78, 0x3b96e6bf, 0x1b6eea0c, 0xdea5db25, 0x9d53bb80,
+    0xb6854936, 0xe5d651a3, 0x5eaa6128, 0x43b2c3de, 0x27c889cf, 0xa3a25449, 0xfbb8ac38, 0xf9e3b323,
+    0xbbaf01b5, 0x4daeccdd, 0x61459314, 0x501006fa, 0xa07af6e2, 0xfb231bce, 0x89be96f1, 0x48ef208f,
+    0x994c060e, 0x6f28acc3, 0x2b11cab8, 0x3e483339, 0x8275c47a, 0x5db128c8, 0x86c2cb13, 0x5935ea84,
+    0x80b60845, 0xe69f07a3, 0x860ee8ca, 0x919d0132, 0xebd50165, 0xdb52c421, 0x74550cd0, 0x8feaac14,
+    0x4aed5e1f, 0x18e3888d, 0x0cebffd7, 0x1dcc32f5, 0x70fa22c0, 0x9ada5f45, 0xcd4d0b36, 0xf0fb5487,
+    0x19c9b3be, 0x1111f3a3, 0x0a159ab8, 0xbc2d8a01, 0x340dd06b, 0x01db5bb0, 0xc4e2c719, 0x98dba6b6,
+    0x4f749ffa, 0x567b04d7, 0x33c5b976, 0x22f9f450, 0x4c3963a0, 0xe6459d8a, 0x516ab425, 0x56488350,
+    0x2dbd4a26, 0x2fe70589, 0x2cc6e08a, 0x9c35850d, 0xd4def763, 0x9ae241e7, 0xe13d6036, 0xb1fe9388,
+    0x39c44d49, 0x0ea795ad, 0x752dc4f9, 0x88f2848d, 0x42a19009, 0x79bf84d8, 0xc69f65ab, 0x887f3bf0,
+    0xe356ab8a, 0x70837358, 0x811acd50, 0xa33cdb8f, 0x67fee6b0, 0x99d16212, 0x9745e6ea, 0xa2c24d67,
+    0xc052744d, 0x8aaff8ff, 0x2f85c54c, 0x2e465505, 0xd25ad74c, 0x73fb132e, 0x58212ef9, 0x179dfc91,
+    0x1b3cc5f7, 0xa1ad5984, 0x7b70be01, 0x5d695ba8, 0xf1ccc2c6, 0xe038eca4, 0x419b80e6, 0x0453b505,
+    0xd8bfaf75, 0xd2f1b4ec, 0x2f082339, 0xe7982395, 0x3d833f1e, 0x2d1048c5, 0xd937a432, 0x387bf27f,
+    0x1506fc00, 0x409e99ed, 0x316ef316, 0xfa1a92ac, 0xfa470076, 0x2c6b5de5, 0x2fa5a9a8, 0x7ec00500,
+    0x5ddd270b, 0x8984ed0e, 0xb1aeb379, 0x774b6387, 0x9637cc88, 0x78868aa6, 0xa8340325, 0xfbe17416,
+    0xaa4fd5ec, 0x26349cd1, 0xe41a4f6a, 0x4f9656b9, 0xe7b4018c, 0x59c3d508, 0xb5b2ccac, 0xf96378ac,
+    0xa140288c, 0xc7ba96db, 0xc677b41c, 0x7d9e3225, 0x0db15ad4, 0x7975ae33, 0x77b3daab, 0xfbf529ac,
+    0xaf8af962, 0x6fbbae23, 0x602ee650, 0xaded72d7, 0xc8f42830, 0xf596c0a5, 0x8a506105, 0x10cf5b24,
+    0x30f9e7f2, 0xa8acf91c, 0x69f2abef, 0x8623e88d, 0x9eb29516, 0xdf682413, 0xb2b05299, 0x812dd359,
+    0x66bb07a8, 0x6bd0ebda, 0xa3b33bb8, 0x5377531d, 0x03caac82, 0xe6f54262, 0x8b5e794a, 0xf0805dd9,
+    0x3fcdc1e5, 0x2c3ef277, 0xa9e0ad26, 0x34cbd9e2, 0xcbfe2757, 0x2bdd2f66, 0x82c1e1a9, 0xba7df570,
+    0xe9ceac19, 0x942717fd, 0x56655de2, 0x90d479e6, 0x831798e3, 0xf188ace6, 0xb978237a, 0x06ffb177,
+    0xb7d72ec5, 0x47272203, 0x92dcf74d, 0xab3e6362, 0x74264873, 0x89751d42, 0x596b8863, 0xfc4aba2f,
+    0x6ebb24fb, 0x99aae2ab, 0x2dbb16b5, 0xef6bce86, 0x8df79570, 0xd0abcd07, 0xb11e6272, 0x0cbc00e2,
+    0x186003ab, 0x02ed538a, 0x0d97fc67, 0x88852c73, 0x218d9601, 0xe207647c, 0xc77bbb84, 0xbe87562d,
+    0x1a6e9a29, 0x1c89fbb4, 0xc6e4bd5e, 0xd8ea7c4f, 0x686423e8, 0x7242443d, 0xc250d685, 0x525a66e7,
+    0x53efc07b, 0x2fb37036, 0x68188e22, 0x118e2813, 0x4f91bcc2, 0xf8553edb, 0x37d9dc14, 0x2f722cd7,
+    0x3d9359b3, 0x9da01633, 0xa7e1c071, 0xba4adcae, 0xf2b01652, 0x8dddaef5, 0xdb0424b7, 0xa0e28aee,
+    0xc0d5bfb8, 0x50e4ff29, 0x978ad6b3, 0xa2937096, 0x1cbb6dad, 0xcdccde59, 0x13cd09be, 0x5c48b98d,
+    0x4a46c1be, 0xb7c247ce, 0x012e0126, 0x7294f983, 0x25a45495, 0x60b94143, 0xb56a0052, 0x7cf48148,
+    0xa048e491, 0x7a56e818, 0x558fe1dd, 0x89905deb, 0xb5e14168, 0x840b258d, 0xf5d2e7ac, 0xf63a3670,
+    0x56e7c193, 0x0ccdaccf, 0xa0480797, 0x00e9957e, 0x3757614b, 0xe7671dcf, 0x49c153c2, 0x82ee16d0,
+    0x939e1d5c, 0xa2f2ff81, 0xfb5ef49c, 0xdc965ac2, 0x748be32a, 0x9ff481e8, 0xefddbe21, 0x78265bcb,
+    0xe0460c93, 0x901f0765, 0xc4c88a3f, 0x795ccdda, 0x0b71904c, 0x61f58842, 0x3ae0252b, 0xa777e82a,
+    0x9b2f7487, 0x60e6ac9b, 0x7a82b569, 0xc7be23b0, 0xd24d8d10, 0xefdf95a4, 0x0288b5be, 0x16d43ccf,
+    0xc2892cfd, 0x56110734, 0x06c4b93d, 0x0b6cee68, 0xb51a2478, 0x2976a96a, 0x2c51f819, 0x8f921920,
+    0x31a87a67, 0xcebc0336, 0xd9c492f3, 0x7c3c2162, 0x7e2d7a6c, 0xf8f73bcb, 0xf171f9af, 0x2e3a94f6,
+    0x4c0bc31d, 0xeafeaa08, 0xb9c3d0ac, 0x35d19baa, 0x091e738d, 0x6138f3da, 0xe4a3479e, 0xb6da9d9c,
+    0x89e3a032, 0xf6ab89b3, 0x0585f8b6, 0x0dcd175a, 0x9ce49649, 0x0657516a, 0x7aa2f4c9, 0x46a5a67f,
+    0x8e3a510d, 0xe04f04e8, 0x574f582e, 0xed2faddd, 0xffe633c1, 0x83c5bebc, 0x7acddbb4, 0xf54426ea,
+    0x1a6bd406, 0x82d9e93e, 0xc8b5cc07, 0x59b6c8cc, 0x90ab8f0d, 0x4767c68e, 0x79da6240, 0x4932e483,
+    0x499afd56, 0x069e9c36, 0x5f62955f, 0x28679c26, 0x19154267, 0x29083735, 0x3604bdf3, 0xbed2b7ec,
+    0x0b46409f, 0x85a68a53, 0x2fd835d1, 0xbf159efa, 0x7820be75, 0xb25caf36, 0xb37c0384, 0x5df1f472,
+    0x89609072, 0xf09f88d6, 0x39593cf5, 0xc3604afe, 0x9148c950, 0xf8123642, 0x7c165204, 0x43f91e01,
+    0x49d71f10, 0x779251b7, 0x0f5ef6e8, 0x1fb20bc5, 0x0b49dbaa, 0x25b1e343, 0xc0fc6bc4, 0x1f21001e,
+    0x9c87b82a, 0x3b7b7267, 0xb7f35888, 0xadcf887d, 0x225054bd, 0xf4a92b5e, 0xf65e2ae0, 0xcf786722,
+    0x5384d2e4, 0xb34327d8, 0x59b65bce, 0xe30603de, 0x017dd5f9, 0x69bf9a57, 0x1d1d114b, 0x42aa736f,
+    0x8a716137, 0x887704c6, 0xcd8f9a72, 0xcd2e9fce, 0x757fad41, 0x3b59f947, 0xbb2444da, 0x6e87a642,
+    0x46ebb433, 0xed919626, 0x54fae61c, 0x1a6c85c0, 0x5f1766dd, 0x081779bb, 0xb0baf501, 0x8cab1db2,
+    0xf4835891, 0x9496dc95, 0x6d1ed1a0, 0x51b50bcd, 0x0b6fd55f, 0x175f81e7, 0x84c2408a, 0x0e5d1de8,
+    0x2a6809b9, 0x98f3d047, 0x80807b1a, 0x2ab0daeb, 0xa80f19d3, 0x8cb975a5, 0xf214cc29, 0x4dfdea04,
+    0x42dbaa5f, 0xb719478d, 0xdcd670e1, 0x10206602, 0x1bfce3d4, 0xed8aca9b, 0x92fc37dc, 0xf4b635cc,
+    0xb24b5fbd, 0xe2736531, 0xdb48160f, 0xdd60fe90, 0xf2ce0ac2, 0x1fbb506e, 0xe3190820, 0x185ab8d4,
+    0xb8f70490, 0xb5a9704b, 0x52ac516f, 0x61c73134, 0xf79459a8, 0xfd12f161, 0x45d88c5c, 0xcb2c2bea,
+    0x4f5b0915, 0x4998132e, 0xbb4482e5, 0xab0428ea, 0xf86666b2, 0x8fafefcf, 0x666b247a, 0xcd59dbfd,
+    0x137f0209, 0x5d00f138, 0x4547717c, 0x4fbe816e, 0x5ad86484, 0xd820335f, 0xf793a6ce, 0x73591b2f,
+    0x56c3c4ba, 0xeb7094db, 0x425d69ee, 0x1f17e2f8, 0x9af5379b, 0xdedffbfb, 0xd5d40ccb, 0x19590811,
+    0x22172450, 0xbf55174f, 0xdbc5f1ce, 0xd9703e3c, 0x149f847d, 0x891458ff, 0xa3196894, 0x499e1fbc,
+    0x53dea9e4, 0x846778cf, 0x0d7ed8ec, 0xdad14921, 0xd4495e17, 0xbfd648aa, 0x14b3e63a, 0x4828e673,
+    0xb4a14fe1, 0x99daa8ae, 0x6104daba, 0xa28df84e, 0xcad8d842, 0x0f039c60, 0xcd11421a, 0x9f472fb4,
+    0xaa5bccba, 0x7b049139, 0x2eac11bf, 0xb542e172, 0x4818dde9, 0x35db70a8, 0x83d7434d, 0x3aa51972,
+    0xbe197802, 0xa777e173, 0xc603446c, 0x7c772bdd, 0x142556ea, 0xce69df59, 0xad204d6a, 0x66c1128d,
+    0xbc57c963, 0x1abcd584, 0xc7178f69, 0xc997ca45, 0x8bafc2cd, 0xb8cf056b, 0x08aeaa17, 0x44681b1a,
+    0xa68f38b1, 0xad0e9c1b, 0x35f6f481, 0x5ea4012a, 0x68d129ad, 0x96ded273, 0x45d2c956, 0xf435746d,
+    0x7ba0d0cf, 0xdafb745f, 0xf630c1aa, 0x6a7c556f, 0xf9a89ac2, 0x0472ea38, 0x1505c663, 0xa2a7fe9e,
+    0xa891223f, 0x7e71214f, 0x673eec12, 0x321d616e, 0xac684b27, 0x3ae3d409, 0x3076d918, 0xe8655754,
+    0x1e951afc, 0xc0bdf767, 0x2756b324, 0x572b926b, 0x0e9a82d5, 0xc1d5012d, 0x87403946, 0x75371d20,
+    0x29764c09, 0xe880fb3d, 0x865debee, 0xe14e96a4, 0x1ad395fc, 0x39442536, 0x41c73bb9, 0xecfd807a,
+    0xff42764e, 0xeab5f3fb, 0x3e96fa3f, 0xbf922b81, 0x40dd340c, 0xdc10217f, 0x33763565, 0x15d9460a,
+    0x5b666fa0, 0xb0fb6dcf, 0xe040b5fd, 0x798deb1c, 0x6b4c9692, 0xd7e7b980, 0x24d1d46e, 0xe6f97d9b,
+    0xc7ceb039, 0xe82abf1a, 0x1ae94744, 0x4cf32e63, 0x2b8f2063, 0x279dbdaf, 0x0116e649, 0x64b6a34f,
+    0x37cf5187, 0xf5daccda, 0x8a7f4613, 0xad784ffe, 0x01c1d22a, 0x544bcf71, 0x10730cb7, 0xee698965,
+    0xf5e04638, 0xc730204a, 0x6269caad, 0x36312f3f, 0x0f530a1e, 0xab740038, 0x9be73bb3, 0x9b9e2198,
+    0xe5d7759f, 0xa204dfa7, 0x154b8e57, 0x4460462e, 0xfe082f20, 0x4065a206, 0x8f523bb4, 0xe78b89d5,
+    0xa7945498, 0x5b8d02eb, 0xf4f340f8, 0x3c90b385, 0x1d62f3b0, 0x03e7bc0c, 0xde39aea3, 0xbd7903b4,
+    0xe8a7fe6b, 0x981ce35d, 0xb59ae4b1, 0xdc4b2e96, 0xe059be53, 0x35127a0e, 0x4c25d35d, 0x39d838c7,
+    0x5e3ccb78, 0xabff9ea6, 0xf31fd64e, 0x0b27489e, 0x989885ac, 0x99ca066c, 0x0f73e37f, 0x59835f63,
+    0xfc2d2e0d, 0x2d431c32, 0xfcc2441c, 0x08ed50be, 0xd4d3e75d, 0x087d9120, 0x2b46ab81, 0xee71dbde,
+    0x2f7978a4, 0xe0a5dcea, 0x0e53aeaf, 0x93517cdb, 0xcc5dbbce, 0x7ea052c3, 0x158345fe, 0x3fa1dfc4,
+    0x343a8291, 0x3a572163, 0x935a1eaa, 0xef5d793b, 0xfa53ff33, 0x67fd1527, 0x0bc59db0, 0xfddd2e3e,
+    0x69d96539, 0x7028ce9f, 0xa9a9bf27, 0x9df009cd, 0x43a7799f, 0x128ca75f, 0xafaa656e, 0xb2ce19f5,
+    0xa4275c4d, 0xb5890da0, 0x6a27a0fe, 0x65171ec7, 0x349bd40a, 0x4a495d43, 0x7fe2f228, 0xdfd22661,
+    0xed834320, 0xb8edee9f, 0xcce16f54, 0x1b06fc8f, 0xf748aec1, 0xc26aa189, 0xb7ac84da, 0xb53ce51e,
+    0x00000000,
+    0x2cc9a4e9, 0x402c9409, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000356811923176489970264571492362373784095686656 */
+  { 0x00000000,
+    0x3abba08b, 0x20fc7235, 0x2e5c741f, 0xeea8bce0, 0x901a80ec, 0x933320ec, 0xfc00539d, 0x031701b5,
+    0x5eee70c2, 0x5550d3f8, 0x28cd8209, 0xf204a55d, 0x206aad5e, 0x088548c3, 0x707c592f, 0x1cd6f9da,
+    0x3f532eac, 0x5b49dbd7, 0x53709084, 0xa6b01932, 0x1ed93fe8, 0x31990858, 0x15245153, 0xf009937b,
+    0xbc454683, 0xb39581a7, 0xd61f34e2, 0xbd38d3cf, 0xff97dc38, 0x226818cd, 0xbf9c985f, 0x5315f81f,
+    0x13d21118, 0x4639d73e, 0x0416e550, 0x501dfcb7, 0x4b457a03, 0x8530f7ec, 0x099d3ddf, 0xf9c0bd4f,
+    0x59586b3e, 0x69ab8b83, 0x91e711e4, 0x6bfb5ec0, 0xf3534953, 0xe0144779, 0xb633e1d3, 0x0815fd7b,
+    0xf8c59e04, 0x1560de71, 0xf38ab17e, 0x67b28fed, 0x6b765498, 0x732683f6, 0x9379a7e0, 0xe1ab1361,
+    0xf36d548b, 0x7d169668, 0x06091ce9, 0xc5067067, 0xdf2636cf, 0xa035e656, 0x5e2a357e, 0x9e8f511b,
+    0xfebb8c17, 0x4bfbec3f, 0x7fc24df2, 0x67232e68, 0x6770111e, 0x3e700f6d, 0xa5f4a165, 0xd4a90e9c,
+    0xeef516de, 0x8846758b, 0xc6c89752, 0x8ec4789a, 0x9c2fa5bf, 0xbe1fc6af, 0x81caa249, 0x6e10686b,
+    0xd4baebe4, 0xd5793188, 0x4f9bc82c, 0xbf09875c, 0x1ce49908, 0x5ae5ebb9, 0xc9d096d4, 0x3adbb0ab,
+    0xcc2e9d17, 0x4b6433e0, 0x6783164b, 0x5d6344ed, 0xf3c9ffc8, 0x11a4b3f6, 0x9ace8862, 0x0b322544,
+    0xe2ce9f36, 0x9aaa5b7e, 0xf3bef76f, 0x596cf9f5, 0x8350fd0d, 0xb2b1c0be, 0xb78e2afd, 0xe9685a07,
+    0x172823c5, 0xd0d8ca9d, 0x9440284d, 0xaa76b27e, 0x735b862f, 0x444130d2, 0x556c9bdc, 0x6e9ab2ea,
+    0xe441e862, 0xd5bdae3c, 0xbabab5cd, 0xa76990ec, 0x6afddbdf, 0xab89001f, 0x9071f72d, 0x4415b90a,
+    0x9791b8d0, 0x9be2f2be, 0x8c86a61e, 0xe1fec124, 0x030e2416, 0x2fa88db7, 0x283e9e02, 0x45ffc98b,
+    0x70d96fca, 0xe81d48dc, 0x71b6b382, 0xdb9f1894, 0x48ba2efc, 0x8450a770, 0xed04af0d, 0x86008a6e,
+    0xb0727cb3, 0x450ae7f5, 0x7d4f9507, 0x0b6878fc, 0x4d3788b1, 0x874a6d78, 0xb1431a15, 0xfecc67dc,
+    0x40b567ec, 0x6552b05b, 0x0cae97b3, 0x654da54e, 0xbd97ac06, 0x3b9543cf, 0x08f094d6, 0x7e7f086f,
+    0xfb2ff680, 0xa7d864da, 0xab79e6b2, 0xbdee2e5b, 0x6c7df85b, 0xd06347a0, 0x46c50e4b, 0x218abcfa,
+    0xb27091a8, 0x8803a19a, 0x855ec040, 0xcd909235, 0x4b692f01, 0x2ea6260b, 0xf97960f6, 0x670d8750,
+    0x4aa694d3, 0x6f8183b8, 0xbc867c32, 0x27f0f376, 0x119c0082, 0x88cf1c51, 0x6be49a08, 0xfa41daa9,
+    0x014730a2, 0x009bf3a4, 0x3b20f54b, 0x46ba0dfc, 0x31117999, 0x510dccac, 0x5d047ea2, 0xcb724de6,
+    0x918e465a, 0xeb45a561, 0x1eee389a, 0x804adc7b, 0xebf6cdd8, 0xd00bbb1c, 0x5bb03808, 0xf0979db8,
+    0x07f012ea, 0xfe7f1e3f, 0x24c3a3fc, 0x89ba6df7, 0xc0437ad7, 0xcd146d58, 0xbc722e29, 0x46133835,
+    0xbb42c71e, 0xc4fa3262, 0x83cddbf9, 0x859a46f8, 0x0100c698, 0xdd6e9945, 0xffeed091, 0x9aed72cb,
+    0xd7492253, 0xed51777c, 0xb4d996b9, 0x98045cbc, 0x6886cdb5, 0xa801d359, 0x3a50aa4b, 0x181c68c0,
+    0x169a31fe, 0x76c73abc, 0x6f38ccdf, 0x256c57fa, 0x43781b65, 0xb5171f8b, 0xf4d8e440, 0xed10ea5a,
+    0xbe402cb5, 0x5f5e8782, 0x045cb619, 0xe5d3a373, 0x5d814ad6, 0xba065e4e, 0x25db492c, 0x4322b3a7,
+    0xde90d45d, 0x77d2fb12, 0xdf01fc24, 0x0bcabf3c, 0x062e326d, 0x2e021464, 0x3dbaef5f, 0xb7610613,
+    0x05f5e44c, 0xbf7c16d8, 0xce35b00a, 0x3fd5ebbe, 0x857256cd, 0x91447640, 0xc7fd8bc8, 0xda321cc1,
+    0xfd7c83c2, 0xcc514e89, 0x11edd795, 0x91839f1a, 0x877ac740, 0x653f4849, 0xf2163b35, 0x26a24239,
+    0x80bfd205, 0xc29f7aaf, 0x8da99690, 0x7f65ac04, 0xf398f246, 0xef9d2ce7, 0x9a327cf7, 0x8b63cb81,
+    0xfcd426d0, 0x9e2adaf3, 0x2df930dc, 0xa3a0273a, 0x08d61204, 0x327b9ece, 0x6eb28cb5, 0x10db9e83,
+    0x283cca21, 0x6d6cacc0, 0x49d7a454, 0x945bb025, 0xe9a09b0d, 0x3fc6f389, 0xe2245b32, 0x3f3af56e,
+    0xfdabe0c8, 0xc5f96a89, 0x060e1134, 0x92b204dc, 0x43b30b57, 0xc17931b5, 0x4cc6d715, 0x886b77c5,
+    0xd0a3587f, 0x2501535f, 0x18a306f2, 0xf33106b6, 0x21815db1, 0xa38156f6, 0x3fb5457f, 0x5e9ab160,
+    0x03875934, 0x3fbf0010, 0x23efe468, 0x94ab091f, 0xa8540b0b, 0x35d39e67, 0x65ffdae2, 0x8bdbe696,
+    0x72de39f1, 0x9f1934ee, 0x84d6b75c, 0x2d13b12c, 0x0646215a, 0x9352e25c, 0x93d02056, 0x50e72cc2,
+    0x099b8876, 0xc75389a9, 0x74faa275, 0x4c0eff53, 0xc8089145, 0x64fda1f8, 0x45045076, 0x92a9c736,
+    0x830da838, 0xf172a460, 0xa5dcd1ed, 0x2eb70040, 0xaab15191, 0x2d48846e, 0xbf0fa267, 0x00a4eb65,
+    0xe43fcd51, 0xadefe21e, 0xe551efa5, 0xba8cc38d, 0xa6233c89, 0x11696495, 0xa4b530c0, 0xeadfcd67,
+    0x6a31d4e0, 0x43b21f93, 0x6ca306ef, 0x3821bc91, 0x8e3084ff, 0xd9e730bf, 0x574d261a, 0x75ef969d,
+    0x57e5afa7, 0x60c050f1, 0x97885156, 0xe14ee01e, 0xb7300d17, 0x098f3c66, 0x22d879b5, 0x826503db,
+    0xbc37c3ab, 0xa3b78973, 0x8e781aca, 0xc5f0a34e, 0x65b7ee13, 0x7dd7d91f, 0xd02eff60, 0xad66915a,
+    0x32cdccc5, 0x2ad096c4, 0x42f27d72, 0xb65ffe98, 0xe1b8283d, 0x97b9136e, 0xd51f0889, 0xef7af1dc,
+    0x42ce9b7e, 0x79e1d440, 0x14ab0d27, 0x0d23ada0, 0x2a40ac60, 0x312e7327, 0x5d237610, 0xf52a4b89,
+    0xe156569b, 0x48b90f7e, 0x0383097b, 0x4dba9a8b, 0x0e62965a, 0xf237ef0a, 0x7d17b054, 0xd49c9ff6,
+    0x6cca3e23, 0x9fc2c8b2, 0x2d3829d7, 0x56bad205, 0x04ba1e96, 0x39ea243b, 0x41416b6a, 0x1bd81ca2,
+    0xb7f0dc4b, 0x5191ee9f, 0xfead73b0, 0x70836be4, 0xb8bbb123, 0xd8f328a6, 0x27903b3c, 0x9fce66f5,
+    0xafe88082, 0xeb1c0c32, 0x887e8ead, 0x86ee3538, 0x372aeb3f, 0x1bd8d9bc, 0x1a3f0295, 0x0f32298b,
+    0xc1bc33d2, 0x499bc3ec, 0xc160a2ba, 0xd9840a38, 0x44a2e040, 0xfdf76ca7, 0x0f3a8047, 0x32b42192,
+    0xd49439aa, 0xf1261bba, 0x633cae84, 0xb9593b6d, 0xba6d15ad, 0xfc8fe294, 0x057d3da0, 0xcbdee819,
+    0xfc621004, 0xb51a324b, 0x3fd064d6, 0xed825692, 0xe65aee41, 0xd3ea2291, 0xc5011537, 0xb4859a4e,
+    0x698c8bcb, 0xdd3a1e01, 0xcf3f3a6e, 0x6ce4b131, 0x870e545e, 0x58b07ee9, 0xdf8a7c14, 0xc98bd03b,
+    0xc1b0617c, 0xa9aba090, 0xc060e658, 0x746c65e8, 0x852c87e9, 0x338e7e2a, 0x289b46c3, 0x7a3515d5,
+    0x3480b2a2, 0xc31f76d2, 0x9a073a05, 0xde4c5cec, 0xa3c1627a, 0xf4d22915, 0xb22db871, 0x73a5ddb7,
+    0x28aba7f6, 0x24679bc3, 0x8bea2686, 0xaf5ad098, 0x3b454be4, 0xd6265e3c, 0xd1e6c67b, 0x1cec11e3,
+    0x4048870d, 0x5c8bbe35, 0x5ada5880, 0xd7ab1062, 0x3085bad6, 0x7b6d4da1, 0xd50c86a0, 0xb3cafa0b,
+    0x4ef59099, 0xf802f451, 0x84886dbe, 0x55c6515a, 0xa0689686, 0xd40b01f2, 0x25f252c6, 0x13edfa04,
+    0xceb9967e, 0x115e654d, 0xdf62c872, 0x3832a0a2, 0x77440873, 0x7ae04e76, 0xbbc15dbb, 0x6230624d,
+    0x18fd8775, 0xe223987e, 0x09f62eb8, 0xd4b978be, 0x618cc8a2, 0xea9d150a, 0x9100136d, 0x3fd9c59d,
+    0x9e41f6a6, 0x3e501aa2, 0xbaa14e2d, 0xa47498d4, 0x8b9e7c73, 0x14e82fea, 0xacdaa1bd, 0x6f4eaac5,
+    0x1c2d34ae, 0xafb9cbfe, 0xa350c83f, 0x48c94d93, 0x495ba1ef, 0xa3a31636, 0xa11f7218, 0xbe092155,
+    0x8aa5c766, 0xa906b857, 0xbae1d4d4, 0x94d7626c, 0xfa6092af, 0x422b56e6, 0x42877b23, 0xf20aabbd,
+    0xbb3bead2, 0xad55da85, 0x6c7e2887, 0x7fac3825, 0x867f041c, 0xcf7069a5, 0x43bab8f0, 0x678d17d8,
+    0x092dddf6, 0x64b28a83, 0x12a14c96, 0x063d22f2, 0xa2238b2a, 0x473e7fa9, 0xe8f79ba7, 0xbccd5d88,
+    0x1ad06248, 0xd2d57549, 0x402b202e, 0xc4b2d333, 0xfa94219d, 0x8cd5ae4d, 0x9e4991e5, 0xd3bc7d41,
+    0xf127e350, 0x4f360d20, 0xb2ddc273, 0xc6096005, 0xf80ed42f, 0x9e8b1ccb, 0x931ec69c, 0xd22312ed,
+    0x6c285c61, 0x9755a046, 0xed62bb8f, 0x51f64f62, 0xde8132b8, 0x08b1fa45, 0xd55161a3, 0x15f768d9,
+    0x99c9ae4e, 0x21601b94, 0xf35a7c3c, 0x62413b0b, 0xec710a74, 0xecf0dc1c, 0x225f6cc0, 0xbba846fb,
+    0xc6ecb976, 0xdf0d719b, 0x1ce7981c, 0xad75a3ca, 0x89a22507, 0x13c9c418, 0x36d08a2d, 0x61c80980,
+    0xfd83cd09, 0x9300b12a, 0x7d481d67, 0x1fa6d928, 0x050ee792, 0x31fe165a, 0xe7f02516, 0xb061406d,
+    0x210dd0c3, 0xfbe309c4, 0xa3f0dfa9, 0x18195a73, 0x2fe9f2d1, 0x90f53831, 0x45bad72c, 0xa1672ae6,
+    0xd159a9da, 0xc68b77ed, 0x5a56b7e1, 0xa24edb8b, 0xfd9da375, 0x3d9dea4e, 0x228e69e7, 0x662a2079,
+    0x9273299c, 0x6f6db6ea, 0xf4377482, 0xc4d0c848, 0x2cb72e84, 0xbb71df01, 0xe5a01f29, 0xeb5e59d1,
+    0x48524765, 0xba232c18, 0x9f90dea7, 0x2e9bd576, 0xe7de686b, 0x58945d98, 0x96d442c8, 0x21cdec27,
+    0x7ae6410a, 0x640a7acb, 0xdc885c93, 0xf6d1cc19, 0x26598de9, 0x1a4c5335, 0xb515d9da, 0x281f6971,
+    0xcd468300, 0x0cf3d0f7, 0x966bc535, 0x0ce9bc81, 0x80b92d89, 0x491eee5c, 0x4fa1e637, 0xfcb2c08c,
+    0x171192b2, 0xe3ac18cc, 0x94a00b0a, 0x94c83ab6, 0xcb100963, 0x37140f5e, 0x56b4aa93, 0xfbe7aba1,
+    0x28b1206a, 0x07bf2e3e, 0xb80eef27, 0xb816704c, 0x5bc1ae61, 0x4bca2ec2, 0x6db4d167, 0xd0321320,
+    0x6f3a1e6f, 0xdcc929d7, 0x1ebfe553, 0xc9ae296a, 0x56da70ab, 0x9d7c38ef, 0x3e8518a7, 0x198d69e1,
+    0xcd2dcc30, 0x7515a383, 0x29ac07d4, 0xc84d9557, 0x67ef465e, 0x9166aea6, 0xa1f839d7, 0x33c0d018,
+    0xa1ad3402, 0x2cc48f14, 0xc8d8a7e9, 0x7b9466b5, 0x81d65236, 0xae397128, 0x221346d5, 0x31da8698,
+    0x3f87d6d0, 0x14513b9d, 0x0eaa95a0, 0x5d9ba539, 0x84159fed, 0x41e097bc, 0x881d1423, 0x33f4e693,
+    0xd5f76f6f, 0x7bd188d8, 0x730a5be1, 0x37678987, 0x518b0f7b, 0xf0186932, 0xb13a51e7, 0x29a7531b,
+    0xb7c3277d, 0x5ee9c00d, 0xad8fa874, 0x52bcd73c, 0x55e472e2, 0x635e864e, 0x67c9fe7d, 0xe952e49d,
+    0x6a55008e, 0xab705d19, 0x55718017, 0x689c4818, 0xb16182c5, 0x494b7018, 0x564a3fee, 0xe67f9ac9,
+    0x6c843979, 0x3056eb43, 0x9449eb3e, 0x30463bc0, 0x013f71e5, 0xb350a509, 0xc48344c1, 0xe1b126b1,
+    0x707100d8, 0xd89beea4, 0x961bd73c, 0xb8bcfbcd, 0x0317e5fc, 0xefb6b227, 0x3a9021e8, 0xf2bd11a1,
+    0x65ad845a, 0x52684b17, 0x14ff00d7, 0x6e15777f, 0x54c451e2, 0x9f0108d0, 0x35eeb612, 0x9f640fc8,
+    0x88facabc, 0xde1ac2bd, 0xecd26648, 0x8a6fc384, 0x9301307d, 0x507c6946, 0x19b7dca7, 0x3319c7b5,
+    0x80fe8762, 0xf797b624, 0x7c34be18, 0x726cc302, 0xfb87740c, 0x3158faa5, 0x14aca1b3, 0xd62efdcf,
+    0xbd1b53d0, 0xe9d56734, 0x8775ef63, 0xc28b29b1, 0x4a03bf23, 0x436960fc, 0x280b3125, 0x26c41216,
+    0xb24ef8ca, 0x5b047444, 0x9d324f27, 0x248dc075, 0xae4864b6, 0xba91076b, 0x07f96cb2, 0x5791b7aa,
+    0x7f5c60fa, 0x41d70ebb, 0xa199a3f9, 0xe410e517, 0x56886053, 0x4b7ee29c, 0xdda77415, 0x034f459a,
+    0x22cc3cfc, 0x24f3c1a6, 0x0644e3a6, 0x5f9e3ccb, 0xa94874fa, 0xc073ffdf, 0x2a0cfc28, 0x7f505f2f,
+    0x0140ddb7, 0xcdc7e4e6, 0x0abcf2c3, 0x9141aca8, 0xd7182bee, 0x243081be, 0x0b64d329, 0x33baace4,
+    0x654ddf8f, 0x633ff14f, 0x98937589, 0xc9403a93, 0xeac08d02, 0xecef4c8b, 0x7e6bf58f, 0xc338f80f,
+    0xb040220e, 0x744dabb0, 0x41ee5c3b, 0xc311f055, 0xe297a3eb, 0x304ec1b8, 0xffea3b82, 0x57af35fa,
+    0xd179efc0, 0x995919d6, 0x8a1e19f3, 0xefe275b8, 0xcf95d67b, 0xd4dac1c5, 0x52445a62, 0xcc088a84,
+    0xa1fab55a, 0x58e6d074, 0x9d9e77f5, 0xdcf7193d, 0xd09d72b2, 0x708e7eb0, 0x253f76c8, 0x38c07738,
+    0x5fba0c21, 0xd4719345, 0x9855a7fa, 0x5c7b0769, 0xa9a8bf9d, 0x494e4272, 0xf6900f86, 0x40e9f003,
+    0x8f4cd8bc, 0xc58328c9, 0x328af725, 0x1a05b27d, 0x7ffd3ba3, 0xfe976795, 0x557660b7, 0x2466dbd1,
+    0x6b9fe87e, 0xc5475d2e, 0xa23bd73b, 0xcf767bde, 0xffa335f8, 0x7d48adc5, 0x4b86308e, 0x99309980,
+    0x5481892c, 0x05d07f89, 0x0bf29283, 0xc993259b, 0x84f1786a, 0xe90b327d, 0xc99a0a33, 0x7d0f5055,
+    0x11cefd46, 0x2d38e2d4, 0x219a00ca, 0x3621c48a, 0x97c6ffae, 0x0dc6ed0c, 0x09fa9ed9, 0xc8cd5255,
+    0x22722630, 0xa43c1ce1, 0x8f8d1b1f, 0x53766318, 0xf536d395, 0x55c34ad6, 0x3cca8216, 0x474b7574,
+    0x5e24d9d2, 0x8d20b7d6, 0x7b0a7b00, 0x27c08e17, 0xe77c90a9, 0x4f48f33f, 0xad4b24c9, 0x9bf6d691,
+    0xe34a35ac, 0x531fc091, 0x2ef3a29c, 0x91da65b4, 0x817a60e9, 0xb7007595, 0x8069a0c4, 0x4f773589,
+    0x7ec735b6, 0x87a32dbe, 0x509a7415, 0xcdcd11c6, 0x9f16e0ce, 0x5471b154, 0x730578a1, 0x6309b861,
+    0xb847b3c3, 0x66d8da4d, 0x1fa9ab27, 0xa448170d, 0x557b8349, 0xb0729aa4, 0xddcd564a, 0x9020c0b8,
+    0x030a53dd, 0xe2cec390, 0xf41dbeb0, 0xb60b5d0f, 0x3e6e92fd, 0x4a3db560, 0xfc04e84d, 0x54e8d163,
+    0x84b58d38, 0x4c50cf36, 0xafd31dd9, 0x43e4248d, 0xb193f71f, 0x1dd7f81f, 0x9a507ed0, 0xeb32b354,
+    0x271af368, 0x440ecbfe, 0x737204ae, 0x65102d8c, 0x9a996dd4, 0x4d057e19, 0x78340f09, 0x843c951a,
+    0x60bdcf96, 0xf2086e61, 0xcb769a4e, 0x3950addc, 0x1551c7d9, 0xccac400c, 0x50f81cd6, 0x3d691e0d,
+    0xbe4fc244, 0xff6be415, 0x6d18585a, 0xa2ecfae3, 0x1a6366d9, 0xc9df7c97, 0xeb868dec, 0x812e020c,
+    0x6b80ac04, 0x0637394b, 0xb532cc42, 0x12c1ac8b, 0xcafd7a24, 0x688e1eb1, 0xcae2e8b7, 0x8a4ceb04,
+    0x41c74bd1, 0x97b34010, 0x51d08ca7, 0x3ea9395f, 0x8e139c4d, 0x0866b124, 0xde3a720b, 0xc413cca9,
+    0xc91d256c, 0xba755533, 0x657342eb, 0xfdda27d3, 0xce7d25e6, 0xeaefb7c8, 0xa71e1dbc, 0x8ffc22dc,
+    0xf0f7797c, 0xf4d56840, 0xed14d5d0, 0xe6850081, 0x051680d7, 0xbc7f0e88, 0x768c3618, 0x1dbef6b3,
+    0x740926c9, 0x3f6df47d, 0x65a32456, 0x64c95aac, 0x8b3b4696, 0x025a330c, 0xd775b9cd, 0x993dfd07,
+    0xebff2d72, 0x89e0c460, 0x6aa37d06, 0x4b703c19, 0xc2daea66, 0x6922ed07, 0xe8de0552, 0xa4319784,
+    0x0130399e, 0x53ec0196, 0xebfe4f4a, 0xf5fc66d3, 0x7cca1cc0, 0x2c73573a, 0xf85c60b5, 0xd4b68992,
+    0x3f7015fd, 0x8ec2d38b, 0x42b0bf02, 0x53744b42, 0xb5d74752, 0x146ff3d8, 0xaf410b3c, 0x69f3bdda,
+    0xf6816d75, 0x2426a9bb, 0x06292ce2, 0xb1f84bed, 0x61346d7f, 0x82a022a8, 0x67b69fae, 0x984f7420,
+    0x00000000,
+    0x9664d274, 0x20164a04, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000178405961588244985132285746181186892047843328 */
+  { 0x00000000,
+    0x3f6d944c, 0x87a75892, 0x4a3cf5f4, 0xcaa7bbac, 0x777bc22e, 0xdb266e44, 0xa1019de9, 0x97e302c2,
+    0xb4ce186e, 0x39858a1e, 0xf52353bf, 0xd0efe760, 0x48e4988c, 0xeeed7772, 0xbec7ebfc, 0x08e6a1d9,
+    0x39b20af0, 0xa043cd3e, 0x7b9c241a, 0x380bf021, 0x13e0d66b, 0xe0b548cc, 0xa9b894fb, 0x5b4e9835,
+    0xdbcc8145, 0x0e939814, 0x7b14f423, 0x734b1a94, 0x5b36fd82, 0x8ae26885, 0xdaf52301, 0xa7ecb24c,
+    0xe0fe756b, 0x8a56edb5, 0x26735613, 0xa56473bb, 0x0d92a9e9, 0xf9f996d3, 0xd1c95ec4, 0x0d8a83c5,
+    0xe6a7d22e, 0x329fd8d5, 0x3c570363, 0x42f850e8, 0x933a3bf0, 0xd9bbf490, 0x2800491a, 0x51091d5f,
+    0x0dc29d42, 0xc4bd7827, 0x49fe6748, 0x25250998, 0x8bfe331e, 0xc1e5f851, 0xd91858d4, 0x24b25931,
+    0xa24edae3, 0x4f956322, 0xebc76cae, 0x78dc14aa, 0xa78ad852, 0x98bf2661, 0xad9ec030, 0x3ca7d6db,
+    0xc5ac905a, 0xd7aec6da, 0x632c4591, 0x8e53210b, 0x0230019c, 0xfab16749, 0x2c7e03c8, 0x5141bf82,
+    0xc359b878, 0x2fd5406e, 0x65440df0, 0xddaa8db2, 0x7465bc53, 0x4efe6489, 0x3f8a49b1, 0x14df9cca,
+    0x92e65f64, 0x94a3780d, 0xee337573, 0x77bb6b7f, 0x166ed3b0, 0xb1a47e65, 0x17dff700, 0x3d5d10e6,
+    0xe21e4206, 0x9556752b, 0xd327fedb, 0xf012c54f, 0xf9b0053b, 0x275203eb, 0x66597a8c, 0x94658a4e,
+    0xfde3caf6, 0xeb70a036, 0xff45162f, 0x07239ad3, 0xe75bdf46, 0x0ee26ca8, 0xd57d706c, 0xcf9a8f9f,
+    0xb4af6bc1, 0xc1508521, 0x2c307a69, 0x8ad7be33, 0xfd9967b2, 0xea596e1b, 0xaf7425a5, 0x136cdfed,
+    0xd2cbbc6a, 0xa875e54d, 0x3399bf61, 0x18f65ab9, 0x82cfb9d9, 0x2a12f7e5, 0xd1e81851, 0x7545ef66,
+    0xe1014047, 0xed202a71, 0x323156ec, 0xfb2e26f0, 0x13fc8a2d, 0xa9c23069, 0x348fceef, 0x663f45fb,
+    0x57d00a55, 0x9722f70f, 0xf9a2c354, 0xbe208713, 0x7f78bcf8, 0x0032e6be, 0x1613d1dd, 0x1567d9fa,
+    0x4d7c68ae, 0x959b995a, 0x9cd714f4, 0x47845f85, 0xb9296c44, 0x3ae88706, 0xbf4cb125, 0x1c5cfb4f,
+    0x2fe17b8c, 0x51e9634a, 0x21078753, 0x09331ea5, 0xdab0b272, 0x877f4fcc, 0xe64b5a22, 0x01555d44,
+    0xc2b9fd63, 0x0115024f, 0x15056785, 0x3864c95a, 0x6f13ccd4, 0x506734e8, 0xfe4d45dc, 0x3e5d8f31,
+    0x7c81a3bf, 0x9efedee8, 0x8a0b03d1, 0xe5bf9c80, 0x7c748d01, 0xd35ab73c, 0xabb2a12c, 0xa4eb308e,
+    0x9e2c79ea, 0x85f83984, 0xefd4bb96, 0x4c3fd0f0, 0x827aa7d9, 0x716d10c3, 0xba95cb6d, 0xbf47828c,
+    0x25dda6e3, 0x4dd2a3f4, 0xb7837b56, 0xa56e06e7, 0xa97a57e0, 0xdfee8f59, 0xaca85654, 0x2be159a3,
+    0x394df52f, 0xdc3d51a1, 0x86e45f23, 0xd88ca526, 0x75587c2c, 0x3687a8d8, 0x18123166, 0x6e317e5b,
+    0x75da9e4c, 0x371d9f08, 0xdbfa3838, 0x42f2482f, 0x72049eb6, 0x27bc7cda, 0xce70222e, 0x4e3a9d0e,
+    0x480f1d9a, 0x6e62e85c, 0x10803f2f, 0x7139dad2, 0x3d7b01e1, 0x31bca9d6, 0x5a06d6d5, 0x62bda814,
+    0xfb6fad15, 0x813c7daa, 0xd3b84737, 0xa7773155, 0xc0435bb7, 0xc05d50c9, 0x791b0ba0, 0x6e8eea4b,
+    0xdd10153d, 0x8d44b0df, 0x24dcfa3d, 0xe56d6306, 0xa91d8955, 0xc3b7fa70, 0xd32528df, 0x46ab4740,
+    0x4235e6ab, 0x58ab5094, 0x3799d341, 0x84f44987, 0xd1323720, 0xdcc7268c, 0xc18b2193, 0xd34f9376,
+    0x75584a50, 0x04fc803e, 0xd05e9287, 0x176b75e3, 0xa55e8470, 0xeb0775e3, 0x1c9a1872, 0x5726e73e,
+    0xd65ff923, 0x23f1af36, 0x45b3e3d6, 0x492e0b19, 0x6a05fd79, 0x18a487d4, 0xc4cb1749, 0xe07f4a63,
+    0xb042c28a, 0x8f8bb4ae, 0x02722a3b, 0x0f0f780b, 0x08278a9e, 0x9247cd1f, 0x6222065e, 0xb8114026,
+    0x8f851b8d, 0x84f7f50a, 0x9f7331bb, 0xaf9f6a7d, 0xd20747e9, 0x0222d68b, 0x57ee44ff, 0x1eb904eb,
+    0x68617d28, 0xc61ca25c, 0x43553c24, 0x4200f67d, 0xa2a5aa9f, 0x6c4601c3, 0xf7deed02, 0x2cda1358,
+    0x0f955047, 0xf6b8771b, 0x25e2f92f, 0xe4a9a920, 0x4137da57, 0xf82c6b2d, 0x51bf6a22, 0x69e14f46,
+    0x545521aa, 0xdd1654d1, 0x69a3bb39, 0x91fcd28a, 0xda359e7e, 0x71e2a948, 0x700c18df, 0x94769931,
+    0x2712fd0c, 0x5a9a40f3, 0xc9755342, 0xe7a8cd5d, 0x4e5791b7, 0xc577b538, 0x65f47653, 0x2d467162,
+    0x6f162489, 0xda716afa, 0xa4e94aca, 0x3fe986dc, 0xfd0e3e4e, 0x57b01096, 0xa8792a41, 0x16f962d3,
+    0x2ff61eea, 0xdd460758, 0x4962295b, 0xceb30401, 0xb8204358, 0x1a9a4a57, 0x86d33495, 0x02165969,
+    0xe0e6787f, 0xb039f050, 0x4e49b9e5, 0x94f886a4, 0x6329dfad, 0xd752667a, 0xbd402af9, 0xf6bf562c,
+    0x3eaff5cf, 0x5e1cd441, 0x271f95c0, 0xedc16b4c, 0x94875041, 0x5b9dacb6, 0xa4e689a4, 0xdc1ae024,
+    0xe54d5634, 0xcac31b69, 0x82370848, 0x75447d73, 0x6492c7a0, 0x6353b593, 0x3a937507, 0xccb9bf86,
+    0xad944a94, 0x88091491, 0xa51428e4, 0xdcd03128, 0x9164ac1f, 0x05f8ca07, 0x65962df1, 0xf245a9a6,
+    0xac09c9da, 0x08a6bc63, 0x9f881694, 0xd7450c57, 0x8d29bdf8, 0x9923a941, 0x44dcb2ff, 0xc0f02c6b,
+    0x946547bb, 0x09c20d94, 0x5fa41546, 0xf67fdf33, 0x8b62b8a9, 0xdd261df7, 0x09d6efc1, 0x9d779c51,
+    0xf4cabf1d, 0x7ce53a1e, 0xbf7c9ce9, 0xb8166bd8, 0xda8b4c1e, 0x75de1def, 0x76042874, 0x8a1d7764,
+    0x560c896b, 0xada06311, 0xe482e3c9, 0x96bbff31, 0x82f49753, 0x535060b8, 0x09074d6d, 0x88a9461e,
+    0x698f7948, 0xccbf48e3, 0x4e460b54, 0x2c563fbc, 0xe5e54727, 0xddf48f05, 0xb73ae058, 0x6ee6e1a0,
+    0x07ccfc46, 0x77dbc8a4, 0xfb38848d, 0x59d2d932, 0xd77bae2b, 0xe3b4426b, 0x36634e5b, 0x24e606e3,
+    0x0e7951df, 0x9930df1e, 0x8e440bb1, 0xd88b6712, 0x85e47574, 0x6b660e37, 0x1c62898d, 0xe4f899bf,
+    0x43ee2da5, 0xb67ca786, 0xe4401b8e, 0xa10c2634, 0x19a9f1db, 0x7966ffdc, 0xf77bab0c, 0x58402949,
+    0xaabfa73d, 0x51a0c7b2, 0x538551a0, 0x495425bc, 0xf8793b96, 0xb73f6860, 0x4cd562b3, 0xbffc6392,
+    0x2551ad3b, 0x9706cad1, 0x540c3c25, 0x48ea4882, 0xded65a53, 0x7c7a34ea, 0xaa7846c4, 0xddcdfc6d,
+    0x9b84798f, 0x3e24e006, 0x4ce141f6, 0xaa4225dd, 0x1b1cd498, 0x17aa52c6, 0xbe94a119, 0xe4f6a16b,
+    0x80f75efd, 0x042a6932, 0x8eb37d67, 0xf35521dc, 0x76780ae9, 0x06c4ebe8, 0x7c33e4d2, 0xecf3eb80,
+    0x2ced14b3, 0x13d2c44d, 0x17b00803, 0x2515cb7f, 0x8e017ffd, 0xa81e5ac0, 0xe07825be, 0x0132a1d8,
+    0x83c6f23f, 0xed73f11a, 0xc27b3b33, 0xde58fc95, 0xe0e47bf9, 0xf3c1728e, 0x0ec76ad3, 0x840bf13c,
+    0x3819fc4a, 0x3d6bcfc1, 0x4a93950c, 0x48887bc8, 0xcfff5003, 0x2dd8497e, 0xfad036b9, 0xb88b08a6,
+    0x91c663fb, 0x832c3b33, 0x53d3f261, 0x868fb8ce, 0x6d3ddc93, 0x07c14dfc, 0x17374fff, 0x3d870186,
+    0x4ab03511, 0x1a3d11c8, 0x58ec9790, 0xa512987d, 0x66b1c3b0, 0x398a3e80, 0x4be6cac1, 0x31e98047,
+    0x6ec2a4b4, 0xae63ed1a, 0xe4d51a85, 0xcb8e7305, 0x1c083f2b, 0x729b7fb5, 0x67c4aa0a, 0xcc9a6b01,
+    0xf6563af1, 0x3b6f836a, 0xd9454183, 0xd6af48ed, 0x9dc273db, 0x85284848, 0xfff56470, 0x9eb5e592,
+    0xb888ac70, 0xb26c3bab, 0x5e246ede, 0x7acd217c, 0x1b8e24d6, 0x692bc2d7, 0xd55f71a8, 0xae3906a6,
+    0x05853068, 0x29608ebc, 0xc62b7987, 0xc4609373, 0x291a30a8, 0xa6537a5a, 0xccb70489, 0xb42433ca,
+    0x304fa74d, 0xa80671c8, 0x0870aaed, 0x7f14ac1c, 0x3811f706, 0xceed04f0, 0xb654e51f, 0x3ea82f85,
+    0x92c0ead7, 0x6bda79ab, 0x3388e3d9, 0xc59a6e79, 0xdfb08e48, 0xd00f656c, 0xa93b5a7e, 0x8594b2be,
+    0xbef17d71, 0x90eca886, 0x24e6f263, 0xaf726e95, 0x8d73718b, 0x1bc9566f, 0xb09a6c88, 0xd42ca6b6,
+    0x9fc5b610, 0x361c8a2c, 0xd4ecb3d1, 0x0e3a8d4b, 0x27362008, 0x5af2c555, 0x9d56a125, 0xb0b4f07d,
+    0x8d7609bf, 0x649048e6, 0xf8ddb933, 0x23dab8d8, 0x0a64fe20, 0xb502a063, 0xb6bf4723, 0x79a64538,
+    0xb3c560c9, 0x9cf23cc2, 0x093a7b9c, 0x8d7d394a, 0xeb400da6, 0x1d5640f2, 0x5d67cc3c, 0x48c83f68,
+    0xf604291b, 0x281e8990, 0x90b08701, 0x10e83533, 0x38176bbb, 0x719a1c72, 0xde25a437, 0x584cd59b,
+    0x55aef10e, 0x2ae6faca, 0xe289dd7f, 0x1443f92d, 0xb7e92ebf, 0x67fc37cd, 0x01e6c16b, 0x4d2f1af4,
+    0xf838cae7, 0x0b993a67, 0x453f2883, 0xd98de131, 0x97b83f61, 0x8cfc9dd3, 0x58428062, 0x33b031f8,
+    0xbf624529, 0x11b614b3, 0x1213f9ba, 0xcaafd196, 0x7b95d9ce, 0xa7d0e453, 0x8503f197, 0x2a63b12c,
+    0x1a6952e2, 0x4278bed3, 0x724d8545, 0x1cc19771, 0xbc625a69, 0xa17cee7c, 0x6bb6f897, 0x39e8de45,
+    0xa6d08dba, 0xbc5e6dfc, 0x360ff0d6, 0x5b38c652, 0x46fe84de, 0xe92404e1, 0xca442f33, 0x0bf992de,
+    0xd4f72ceb, 0x7eef4599, 0x59b7b6aa, 0x6383ff30, 0xbdeab5f5, 0xff98acae, 0x6b9b6e91, 0x49ac68ed,
+    0x07fe78ac, 0xdc84e8f4, 0x787ede78, 0x7f608d8f, 0xf8f9355b, 0x2f940ab1, 0xc60b0f22, 0xff8be553,
+    0x526a4599, 0xc1343175, 0x64a30b98, 0xc0244e62, 0xd4658670, 0xb1ac19d1, 0xd3e98792, 0x18b8834f,
+    0xadd1a0b6, 0xfb6df544, 0x7809fbf5, 0x618fe6b9, 0x3da715e7, 0x9437a8aa, 0xd8be4d5d, 0x7ab26b19,
+    0x5478d5f0, 0xac94ae11, 0x02bdd9b1, 0x1778eada, 0xb0f6eafd, 0xc3251247, 0x51e4b2a3, 0x5f4b4f6a,
+    0x151ecc91, 0x6d3e31e2, 0x98006d1c, 0x25ae836c, 0xad5d19fb, 0x389bc3b0, 0x44f5ade6, 0xed03334d,
+    0xceec184f, 0x3ca355f9, 0x1fd65850, 0xc4edea05, 0x254f3a35, 0x633a0f0e, 0x5bade722, 0xbaa0ed28,
+    0xfc2481ad, 0x0884fe33, 0xc656c722, 0x3c10fbf4, 0x751ec84f, 0xab9101c5, 0x5fba7034, 0x11038bda,
+    0x161ff96b, 0x8092c9ea, 0x43ce26ea, 0xb49a5834, 0x42665820, 0xe00e17d7, 0x486c9b7e, 0x0f5e71d1,
+    0x95d56e67, 0x19b4b959, 0x3b347d39, 0x72273ea6, 0xb6c57cd9, 0x58cf1035, 0x8deaa50d, 0x4c48ef65,
+    0x7750b6d5, 0x76d099ce, 0x629f08d8, 0x470992e3, 0x1c3450b6, 0x0feab77b, 0x64218772, 0x1442d357,
+    0x181630b6, 0x40d76748, 0x0800c3c6, 0x35f76843, 0xc7a4c565, 0xb6e91844, 0xd797f937, 0x5f9705a6,
+    0xd37ff79d, 0xca52dec3, 0x4da647f1, 0x3156e6f8, 0x8aa8a7d5, 0x4f4e4234, 0x83aa89e5, 0xf066d45d,
+    0xa97e167c, 0x880abc21, 0x2ce96d0a, 0xec9e779c, 0x50dec038, 0x31f7ee55, 0xb602db4a, 0x5a181b0d,
+    0x570c782c, 0xb8a98a3b, 0x3dd3cfa7, 0xfe97da9f, 0xa181d9b1, 0x0bfdcd3a, 0xf510f830, 0x5c1620a9,
+    0xed502f9f, 0x0866648a, 0x1eeda4e1, 0x084ffbbc, 0x65d16400, 0xc7755fd8, 0x9b5fe202, 0x5a3d22f9,
+    0xa6e561ee, 0xd216660f, 0xc6f49383, 0x6957b57c, 0x3116dcb1, 0xe5d05c36, 0x2bd2fe4a, 0xaf146083,
+    0x006beade, 0x649203ce, 0xf921a0af, 0x7c131965, 0xe4b684f5, 0xd78fbcf5, 0x3c29f1cb, 0xa1f23ec2,
+    0x37f8ddd8, 0x09521295, 0xbf31e7e3, 0x5f5a0638, 0x2613bf27, 0xcc497bab, 0x69ef63b7, 0x21cdefd7,
+    0x5ab691ad, 0x7e1679f6, 0xe8363a43, 0xec8baf95, 0x09f3e96f, 0xc11e3f6e, 0xa280b428, 0x18b7ecaf,
+    0x33f56092, 0xfdb910db, 0xdc6f9c88, 0x110a5dc6, 0xba477821, 0x171f6010, 0x72b798e4, 0x3fd5997d,
+    0x5f592337, 0x87504d6a, 0x8e16f342, 0x036a88bb, 0x1caa3641, 0xa5707efe, 0x8db27bcb, 0xfae9e288,
+    0x1463ea56, 0xebe38d9f, 0x2b4b004a, 0x6fc6e276, 0xf7eb874a, 0xe572f02f, 0x846af340, 0xa9480a5d,
+    0x6e4d973b, 0xe0a1847e, 0x7f608b58, 0x0fe0ae26, 0xa5d14c9d, 0xe7680b61, 0x59fcd900, 0xe8dba856,
+    0xf6e30f0f, 0x12359f66, 0x1f2e5858, 0xd6d01e80, 0xc76311f9, 0x153bd54e, 0xa624fd72, 0xc1b47c31,
+    0xb822b943, 0x443148c3, 0x0cf3619c, 0xc4d15f60, 0xe6a8e78d, 0xd3628887, 0xc75084db, 0x49ef5c5b,
+    0x87d3080d, 0x6ff82b2f, 0xc99ed40c, 0x00644a75, 0xe1aaff8f, 0x01865370, 0x6e0f75f4, 0x615629d1,
+    0xab54cc58, 0x832e7231, 0xdb44b8bd, 0x29025373, 0x4fe9e0b5, 0xdd1ea725, 0xae415244, 0x4e45a01a,
+    0x9d829ba6, 0x0012676b, 0xfc8e6c77, 0x6ebc1da2, 0xfa4d636f, 0x78fd082e, 0x83c6254a, 0x0ffef508,
+    0x43c9bf3d, 0xdaa19997, 0xead993da, 0xa1250e8e, 0x86c84009, 0xb7b981ad, 0x9dfc4bf2, 0x1623b092,
+    0xd1e8cd26, 0x9cbf410b, 0xc4891632, 0x78c1c7f6, 0xcac36c1a, 0x427a0ab6, 0xc19fd60b, 0xd7646f5b,
+    0x026739ee, 0x478c3ee6, 0xcfbc8305, 0x6a3ce206, 0xce8e080b, 0x285f37db, 0xce79c123, 0x28ed78bc,
+    0xe5fb77b1, 0x4ff14930, 0xcddfff29, 0x5952ac23, 0xe1fbde48, 0xbfb8c27c, 0xaadc6848, 0xf1625299,
+    0x92ef47d6, 0x46a17295, 0x9aa0027a, 0x868adde3, 0x1ab00757, 0xf3c36d3e, 0xfa092989, 0x40a4c9ba,
+    0x71db6504, 0x34ba1d29, 0xf770de33, 0xa72b29c4, 0xe131c660, 0xb62ef4a9, 0x00ca74e5, 0x3ab6b1a5,
+    0x2e0d0a7d, 0x74ec5b27, 0x9855aefb, 0x0b835737, 0x6900ecb0, 0x07d4e571, 0x1e4cf8b2, 0xafd1b51e,
+    0x960a7a4e, 0xe891c7ec, 0xb32d1cb2, 0xa42cfbed, 0x4de61845, 0x668d6f9f, 0x9df74b31, 0x25088780,
+    0x7f224f98, 0x9b84ee51, 0x09c6ea39, 0xc4080fde, 0xea2ebc07, 0xf6920ea4, 0x789b676f, 0x24e52f28,
+    0xdc328d43, 0x3f7c0bcb, 0x4f0e762b, 0xcb3e712b, 0xe40594f1, 0xce0fee61, 0x87c2bfd4, 0x942998ac,
+    0x472f369c, 0xfe1569c8, 0x29685342, 0xf951c0a3, 0x372e828f, 0x0c9145b3, 0x85252260, 0x586d7e8d,
+    0x7a431707, 0x5cc4e692, 0x19700895, 0x54817616, 0x113465f7, 0x91351088, 0x10c94029, 0x3736621a,
+    0x8aa95495, 0x766b8454, 0x0748ffd2, 0xf633b65a, 0xad6d6430, 0xb1d4157b, 0xd8696f0f, 0x46fe4d89,
+    0x8cccc6d8, 0x06453da8, 0x87cd8f1d, 0xd69ca0ad, 0xffab51f2, 0x652b9884, 0x2c3d54aa, 0xd6c2475a,
+    0xeb79eb15, 0xe32180b6, 0x915f31b8, 0xef936e49, 0xf513a79a, 0x09cf3828, 0xb35c03f1, 0xa811ab14,
+    0x81e36e55, 0xced56846, 0x28fe4d6a, 0x0ba32a1c, 0x30334349, 0x877978bf, 0xf7c45691, 0xa801da51,
+    0x51e0ad66, 0xea74ccea, 0x57acad4d, 0xd7e99574, 0x5bdb5dfc, 0x6b1d58ee, 0x07119f00, 0x467191b4,
+    0x73aa8606, 0xa905ef24, 0xb7b84b25, 0x8fd84cf8, 0x8dccc998, 0x98ba61c0, 0x26412241, 0xb75bcbef,
+    0xedbca323, 0xe51e53c7, 0x231d6461, 0x271bef4a, 0x01bce0ed, 0x863661c9, 0x96528877, 0xe94160b3,
+    0x6256cbf4, 0x6aab9661, 0x8d3c9918, 0x23d5baba, 0x2ccaa34e, 0xde1a6f62, 0x6e2a3700, 0x6de76c8b,
+    0xdf23cb75, 0x432a8916, 0x99b18339, 0xcb36c876, 0xfc9e6440, 0x69a5a024, 0x7275d44c, 0xc57668d7,
+    0x00000000,
+    0x4b326939, 0x900b2502, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000089202980794122492566142873090593446023921664 */
+  { 0x00000000,
+    0x2b4b8608, 0x8cbbb480, 0x6124e7f1, 0xf18b435a, 0x74eef664, 0x14a45fcf, 0x2a14f8e9, 0xa50754d0,
+    0x90e5f5e5, 0xa2ea7570, 0xd1f6afc9, 0xbd8f60c4, 0xbd962660, 0xa88160e8, 0xc36fc769, 0x9b30eae9,
+    0x20faec24, 0xbd4f9cb9, 0x601b6bab, 0x45838a51, 0x087aa6d7, 0x4440ce52, 0x6d7e4a2d, 0x9446b4ec,
+    0xe0df082d, 0xb5418dd4, 0xf2b49c70, 0xa3870389, 0x21404673, 0x79b5011c, 0xbe452c3e, 0x8972c3df,
+    0xe11fc528, 0xa6a7c694, 0x1467df13, 0x3ef0fbf6, 0xffba6e79, 0x443e7501, 0x6d0567b2, 0x93102f06,
+    0x15894d92, 0x832552eb, 0x264059c1, 0xeef3d08b, 0xac09b789, 0x2322a21b, 0x7f466992, 0x5372ae65,
+    0x69a626b6, 0x9c9d7fc4, 0x9aaf15bb, 0x07d2f055, 0x7d9d1a44, 0xc6073441, 0x84a9e7fd, 0x45a330cf,
+    0xc933731d, 0xecbb8d6b, 0xe4fdc0d6, 0xba373890, 0x47f2f643, 0xf21c2f82, 0xafd3da7e, 0xa794f9c5,
+    0x217923db, 0x04122215, 0x122b5ccb, 0xb053685d, 0x2e4ebff6, 0xd1999e4c, 0xa060d2f9, 0x5d2f9185,
+    0xf71cd5f2, 0x1b631819, 0x93ef6693, 0xaa69d9bd, 0x19589546, 0x8746b115, 0x212041ba, 0x93394bb0,
+    0x21395ddd, 0x3231b88c, 0xac9f9ffc, 0xa5584d0f, 0x3b09c3fb, 0x11c6e30c, 0xd35146af, 0x96afbf08,
+    0x15a72a41, 0x1acc73a6, 0xfd5abb3f, 0x01ef313f, 0xfcdccba1, 0xddab7216, 0xe837b1bb, 0x410638f9,
+    0xfd1bb058, 0xa79c12ad, 0x59f73653, 0xacf719d2, 0x5ad4efc3, 0x750aa978, 0xdb04daad, 0x771864fd,
+    0xfd528506, 0x0df46ef0, 0xcf47d3a3, 0x8ab7cfa7, 0x92c11a04, 0xe1dbac04, 0x1a506797, 0x500e1b24,
+    0x2c877307, 0x5ee4e153, 0x66ad99e2, 0xbeca5d27, 0xb881882e, 0xcb40b5d3, 0x00a4cad6, 0x26c6c720,
+    0x90126b46, 0xe4cc4112, 0x7d4a49b7, 0x644a078b, 0xa1e14fca, 0x71b5ffe3, 0x73cebed1, 0x2702f73c,
+    0x5c186415, 0x144abc26, 0xdffaa40a, 0x6b51700f, 0x0f660222, 0x753f1c36, 0xc56084c6, 0xa0e068b0,
+    0xe94e12dc, 0x04706436, 0x2377afaa, 0x2c82001e, 0x97d11bb5, 0x3b58873b, 0x852d0977, 0x4b14fc20,
+    0x1cd3ba67, 0xa0a725a1, 0xe5928a69, 0xb96f5bb0, 0x0238762a, 0xef2d151f, 0xbb07f087, 0x622b8668,
+    0x3260bd07, 0x07f7b0ee, 0x661331eb, 0xa0353a63, 0x07a709c2, 0x6b1b41b2, 0x306ab6e1, 0x41e5520b,
+    0x2729bcfe, 0x8fc95ad4, 0x663cb668, 0x4826dbe8, 0x1818e0cb, 0x5a87765f, 0x3d9476f9, 0xc2bb3a28,
+    0xacd5809d, 0xce1d869a, 0x661b4409, 0xa3e6119d, 0x4926bf0f, 0xe99bc8f7, 0x5e704425, 0xb215ed7c,
+    0x098e9454, 0x4e23f06a, 0x3e64255e, 0xaf12c7e2, 0xf633eda5, 0x71deaec9, 0xb21bd0ac, 0x44aa71be,
+    0x7a81325a, 0xe2dccd0b, 0xa7820c95, 0xca64586f, 0x84bc8ae8, 0xdeeef847, 0x7935f706, 0x626e4851,
+    0x020ece16, 0x1348ceca, 0x006e7498, 0x46d0c10e, 0xb38e4365, 0x3925c09b, 0x6f4d325f, 0x09414e55,
+    0x68743681, 0x2abc37e0, 0x065c9f6e, 0xd7e74cdd, 0xe85ba541, 0x84064dbd, 0x508f52c5, 0xd689348d,
+    0xbf2a5682, 0xe2a17e15, 0xeb54d1ca, 0x294cc2eb, 0x1fc43d18, 0xee41a60e, 0xee864e2a, 0x7a69ba15,
+    0xc700ff16, 0x2af67eb5, 0x8aeadaa3, 0xc6830d1a, 0xd2bd1f59, 0x8f2a5d25, 0x4c7248a7, 0x417ab28d,
+    0x37046b22, 0x9e2ba6dd, 0xbe9006f0, 0xeb58d8d2, 0xbd7f93b1, 0x18e3d2d1, 0x6bd8b095, 0x5f16f663,
+    0xf48693d1, 0xd006c983, 0x80eef553, 0x90e6527c, 0x9d0eedb6, 0x54f62051, 0x646cb8a7, 0x81f8fca9,
+    0x554df83a, 0x24e3c889, 0xb3bd32bc, 0x96c1668e, 0x28ca873e, 0xf16ccf6e, 0x11000849, 0x53c57bb2,
+    0x93f64bad, 0xca4caa3e, 0xc2ca4cc3, 0x59a6391c, 0x8e8f9136, 0xcb38c928, 0x9025869e, 0x296ccc08,
+    0xd72a2c86, 0x7e1dcb4e, 0xbdbd564a, 0xe5e5533e, 0xb326d412, 0x21b24632, 0xf4d5345e, 0x38ab7ff1,
+    0x8c50ed78, 0xdf3a483a, 0x56aaf4da, 0x11c9672a, 0xc5259bdb, 0x36254c30, 0x9454b14b, 0x46455331,
+    0xb9b53e1e, 0xeaff6b92, 0xba2ea532, 0x5f71a07a, 0xd0ca84fd, 0x02871822, 0x9d1f1efd, 0x28408e95,
+    0x09d1e17c, 0x593148f2, 0x2e3c2027, 0xd71c0152, 0xaf8b578b, 0x175f53b7, 0x3f33cfb3, 0xe619eb63,
+    0x34407c0f, 0x5148ea8c, 0x2e2a7c5f, 0x6313e317, 0xb9df386c, 0x5bed726c, 0xedc95605, 0xce0ad848,
+    0x886b19a2, 0x8dc91c64, 0xc665860d, 0xbe14b03d, 0x1976f115, 0xc7895c32, 0xe8d39494, 0xc52c488d,
+    0x6c98cd44, 0xc7bb3276, 0xc20626ed, 0x30630e50, 0xd6f287f9, 0x84201b68, 0xffa0bcb1, 0x1c1f11c4,
+    0x2350e269, 0x19f8413a, 0x93b613df, 0x1ad9801f, 0xb3f8f9ec, 0xb3e3b2a2, 0x23a5d09e, 0xbf094115,
+    0x5f7cf091, 0x0684ea15, 0x25aed800, 0xdae7ad01, 0x1de05400, 0x44367dfa, 0x2718a52e, 0xa0c3eae5,
+    0x9ac41828, 0x0228a02d, 0x981081bd, 0x4eb22ed4, 0x92ed7551, 0xdf237c1e, 0x632cc092, 0xa4ac2d7a,
+    0xf061f421, 0x0ab40850, 0xb7150d45, 0xebbba208, 0x32563d84, 0xcf287ce1, 0xded06af4, 0xb06aa7ab,
+    0x7d33d864, 0xdaa1e583, 0x2ca06790, 0x0d5be787, 0x431135b7, 0x0fd3fca9, 0x1cb018f9, 0x0633ac28,
+    0xbee608e7, 0xe5786b10, 0xe2c2f2b6, 0x92a66901, 0xefae2f5c, 0xb4241a11, 0xb13a9b6f, 0xcc41c231,
+    0x392f3fe1, 0xc2541050, 0x9bf44e60, 0x45a29ead, 0xe1e87a15, 0xd36b05c0, 0xd24c2664, 0xe947ee18,
+    0xa8bf2b13, 0xf2290337, 0x1464195b, 0xc0a91f9a, 0x7e973d72, 0xc8114da5, 0x8854f936, 0xa4af0209,
+    0x9d4ed9ca, 0x1e7fd896, 0xa1b536ad, 0xda449aea, 0x871639b4, 0xfb895fd8, 0x1201dcef, 0x49663675,
+    0x67e26a30, 0x3373f9de, 0x8e038c53, 0x9ad7e90c, 0x18bc8e35, 0xdcbbdf81, 0xfa4e9858, 0x64df0daa,
+    0x0ad5ff0a, 0xb5d72177, 0xb87fffcd, 0x25180365, 0xa7aeb670, 0x7f590d77, 0xce399ae6, 0x032ac244,
+    0xd24d6d35, 0x1264492a, 0xc3ce5d02, 0x00ca117e, 0x3bfbd6d9, 0xb8d6ec8b, 0x27329367, 0xaf854c1b,
+    0xef92952e, 0xc49ce505, 0xc6bb4099, 0x60eb918a, 0x81849d70, 0xd02aaad8, 0xc24a3733, 0x1b8e3b5f,
+    0x63c16d1a, 0x6865a9e1, 0x71be2df6, 0x1829d72a, 0x1bd4dd41, 0x34839dcc, 0x9de2538c, 0x1562d08f,
+    0x43fc91af, 0x68f8a6b7, 0xdd1b2bbe, 0x87e899f2, 0x9a671850, 0xf293f060, 0x9068f83e, 0xe40429a2,
+    0xce634c2f, 0x488f4063, 0x9d6ca708, 0x1d2cc98a, 0x6005c609, 0xf2812323, 0xb570d5bf, 0x57d984a9,
+    0x2de3b8d0, 0x5257a0a1, 0xf000beb8, 0xe7394009, 0x63022fad, 0x43ac5a9c, 0x9ddc69da, 0x8f5a7a9b,
+    0x8d2e58ee, 0x357df326, 0x616260a3, 0xdb1894f2, 0x3c65ffa1, 0x6641ca4d, 0x5b6f5282, 0x2ca3ff0d,
+    0x00e603fd, 0x280900da, 0x002a26ac, 0x44b2bddc, 0xd18fe16e, 0xb793e92b, 0x67cbf97e, 0x1a6120b5,
+    0xeb4a51b6, 0x9ed846d5, 0x2871c6c7, 0xdb68cf4c, 0xfe5c43c4, 0xd81f93a1, 0x000930b4, 0x9d3d9585,
+    0x42f8f8a3, 0xb78ab6f8, 0xefb7c092, 0x876013b1, 0x2064d84b, 0x68e4159d, 0xb609c4c8, 0x3a07f578,
+    0xb46dcb3b, 0x05d35b31, 0xae558c50, 0xcc0fe9aa, 0x83cf106a, 0xef60e430, 0xab1f4595, 0x561298ca,
+    0x10ca4018, 0x27b508e0, 0x567bd2c8, 0x736edb3d, 0xd3ea0146, 0x1fe22f72, 0xa2f1110a, 0xcf6bd198,
+    0xc4b58b05, 0x3110b99b, 0xacc96dc3, 0x26ecc4a8, 0x158c1e3b, 0xbf791f8b, 0xc93c450b, 0x83716ea9,
+    0x14c528f8, 0x10598218, 0xe9aec04e, 0xd1ee00d4, 0xf847456b, 0x57e61fbc, 0x1bb0560a, 0x9cbf26b4,
+    0x9dc8bbab, 0x0f9469e0, 0x2d061393, 0x775395fb, 0x0aa05b30, 0x5246545b, 0xca74b27f, 0x74f46cf6,
+    0xc0d4a925, 0xee614166, 0x88c7020b, 0x29f845cc, 0xff0efd1e, 0x192db9f2, 0xc8afc477, 0xbca6c628,
+    0xcb5d0ae1, 0x2885f0e0, 0x7312c145, 0xc189f9ce, 0xbc015c13, 0xce59bb59, 0x1e1ef512, 0xc73409d6,
+    0x3ed592b8, 0xa7755f19, 0xa6a7ccd9, 0xe21fb6f7, 0x3d447dce, 0x167316dc, 0xec20cbf9, 0x442da7b6,
+    0xd530a8ae, 0x98130565, 0x6687e273, 0x73aed8f9, 0xc340736f, 0x9484efa9, 0xc337a8fe, 0xddc1c7fe,
+    0x6359e0c9, 0x4f1f33dd, 0xd98176b5, 0x316cdc34, 0x842c1ea6, 0x8e02ff34, 0xc44fb184, 0x691c4e17,
+    0x6ecc46dd, 0x87defc1d, 0x262af3a7, 0xbb39ba75, 0x894172e0, 0x450b6515, 0xcd6e8b6a, 0x055104cf,
+    0x34830667, 0x75f49b28, 0x8c48833b, 0xc8b2b054, 0x89f65132, 0xf3493c3d, 0xdeaae383, 0x84e58015,
+    0xedb5fb45, 0x74fcff7c, 0x6467995a, 0x124a64a9, 0x69bd80b1, 0xcba3cdbc, 0x03691c4a, 0x7a2ad262,
+    0x8897edd4, 0x5ae69dae, 0x175c89d1, 0xf342db99, 0x6a3b0e08, 0x31d96b7f, 0x5c7c87d4, 0xe43718e6,
+    0xed376120, 0x26c2fd0e, 0xb221b9cd, 0x266a30b5, 0x22f4f030, 0xcaf28015, 0x40e5b719, 0xb12e7f47,
+    0x7828c94c, 0x2c720017, 0x3bf359f4, 0x5eb37e19, 0xd723e8db, 0xec1edd95, 0xce3d39c7, 0x914d9580,
+    0x11ee0112, 0x26aab6a5, 0xd72f39ab, 0xf1ba3070, 0x974209b2, 0x35a8f6da, 0x083cfcd3, 0x6172d85b,
+    0x11e345ed, 0x89fe0f05, 0x3867f297, 0xf9eb87e3, 0x31a137cd, 0x1550e0d1, 0x659bc956, 0x91cf97b4,
+    0x45c18983, 0xba05c51a, 0xa0854253, 0x1e319123, 0xd99e2ba8, 0xae5a55e2, 0xf6869f8c, 0xe95c9b44,
+    0x1709ae6b, 0xe3641d65, 0xc76583d9, 0x9f557591, 0xc4974b4a, 0x7cdd2f49, 0xb3e74e03, 0x4a1db279,
+    0x0c42f4f0, 0x6074e0a4, 0xe5b419ee, 0x26ea1210, 0x256e25f5, 0x06ba5c4b, 0x703e193e, 0xdf084d56,
+    0xcb5c7690, 0x55f5dc37, 0xcd67a8c3, 0x744ddcdf, 0xcf58d940, 0x5defb8eb, 0xc28cc969, 0x89b86348,
+    0xc2274ef8, 0xef0925b6, 0x9968663a, 0xcf14ab4f, 0x7b994672, 0x9fd90fae, 0xbbbf7579, 0x998f9382,
+    0xb2b3a10e, 0xcd30ea33, 0x98ce9dde, 0xe8c75a1a, 0xa3ceacd2, 0x813b7d78, 0x9fb05bf6, 0xdbbc878d,
+    0xa810bc71, 0x210963c0, 0x63da3ba6, 0x11c06f35, 0x90990f58, 0xb3a1c32c, 0x18f862a9, 0x2320326a,
+    0x00fdbf4c, 0x8a6d748d, 0xb3fe28d7, 0x3a42c1e9, 0x87a7b620, 0x63709fb8, 0x2eea171d, 0xe4ea1262,
+    0xec1ef33d, 0x96b9caea, 0x1c474b07, 0x91cb5693, 0xd709bd4e, 0xdac46878, 0xf0f02910, 0xd66344c4,
+    0xd710e6c7, 0xbb0be4e5, 0x906f4dba, 0x454cf2aa, 0xc64ef0b0, 0x5bc8bd88, 0x6eb38633, 0x61bebbea,
+    0x3aefdea7, 0xc3fa8f5a, 0xfcab4214, 0xd5363b68, 0xbf5adaf3, 0xc69ef421, 0x287a4dd4, 0x1c6a0445,
+    0x2bd506c7, 0xe21e1c99, 0x4b2c4e50, 0xa7b12984, 0xdc7cda29, 0x4105ccd5, 0x62b44ed4, 0xe613d765,
+    0x6764346c, 0x5964a78a, 0xb16717c4, 0x50a968a7, 0xe1ba5620, 0x6c9b966f, 0xac360904, 0x05b473ac,
+    0x9ca97f6f, 0x3f3ddca6, 0xe6fe708d, 0x03759d8c, 0xfaaf2521, 0x188e4b9f, 0x1a095507, 0x24dc1db9,
+    0x8180dcba, 0x6056a3dd, 0x05c7c9e2, 0x1afd968a, 0xbf4b7767, 0x3319d9f7, 0xef14ce7f, 0x50931f93,
+    0x0f8e6b3c, 0x190e6690, 0x64e080ca, 0xda5b6e58, 0x7f69ccec, 0x3bee7b7c, 0x1163c312, 0x3bf4b47a,
+    0x810c6e95, 0xcc89ecf8, 0x8c57bbef, 0xac64c012, 0xd3fcc6bf, 0xaed2749d, 0xd5211409, 0x904bc253,
+    0xfd22b17d, 0xbbcbeeef, 0x1a6b6463, 0x20c59f7c, 0x2327a155, 0x769769c9, 0x20d6cd8e, 0x7a7b6bcd,
+    0xa9f3bcea, 0xb9d52e1a, 0x134982a5, 0x87e24e52, 0x3ce05cb4, 0x8209fc4f, 0x84747d11, 0x56a72286,
+    0xe766e53b, 0x4a3f9775, 0xd2893434, 0x56885fe2, 0xef130f95, 0xfad48d06, 0xfffcb122, 0x200f3e28,
+    0x744f3208, 0xbfe06b43, 0x41c0d155, 0x1db83f09, 0x0d660f6c, 0x3cc524b8, 0x08f881b7, 0xfed447c9,
+    0x500bf88e, 0x6151e11b, 0x8f130014, 0xd018f405, 0xf993aa3d, 0xbebf76a9, 0x8efb8630, 0x9417e755,
+    0xc32b558b, 0xaabb3f26, 0xe1f1955c, 0x4abf5fc1, 0x8bbeed04, 0xf0a933ea, 0x82933c95, 0x938a93f0,
+    0x5545ed40, 0xa897df13, 0x24f5f44c, 0xb4a13937, 0x9d6e6fd7, 0x054eb0fa, 0x1808f357, 0x7c9e5b65,
+    0x51b5ca56, 0xec695191, 0xa4cb5912, 0x15356c06, 0x559646df, 0xf3e9c8a2, 0x97efc805, 0xac8a4fe5,
+    0xec55edc0, 0x88ab8cd5, 0xba9c83d6, 0x8b4b1907, 0x0be2ed99, 0x37325dfd, 0xa31aa1f6, 0xf0668f86,
+    0x3c8dff9e, 0x830a5904, 0xb81dfab8, 0x890c2cc9, 0x3722dd33, 0x0ab4cbbd, 0xa96e0870, 0x839bea15,
+    0xbd3bf2d0, 0x50e66393, 0x2ee9d680, 0xa2ffab63, 0xe593c005, 0x31418741, 0xecab7833, 0x217de398,
+    0x96111c9c, 0x52b1ded7, 0xf48b49ef, 0x4cf09984, 0xa53c6371, 0x76551d4c, 0x765acd4e, 0xbf2d496d,
+    0x7fb96166, 0x7a23342b, 0x9b3ccea9, 0x1477ff7b, 0xe91a4cc6, 0xfe6fc3e3, 0xe94aed17, 0x9015029f,
+    0x13ea5d2c, 0xe089e514, 0xed35e3d9, 0x7e7f899e, 0xb86b58d4, 0x910219a2, 0xda92edff, 0x5b4ec3f8,
+    0xd8f753b7, 0x97096c93, 0x44e3ef96, 0x56eba55d, 0xe63f6d6e, 0xafe644b9, 0x1891074a, 0x3d85a1de,
+    0xecf354ae, 0x386c2227, 0x86bac393, 0xf9d68316, 0x99a75e74, 0x6d1dcadf, 0x011d82aa, 0xcc9e96cb,
+    0x8e420266, 0x2bb1735e, 0xe2477814, 0xd68b9348, 0x105d0d61, 0x08173c12, 0xd4106ae7, 0x69f0be5e,
+    0xb95197b0, 0xc7f4c406, 0x3ce2c16c, 0xfc610c05, 0x22e711e4, 0xc3636907, 0xe317ef67, 0x849cdde1,
+    0x94bcd0bf, 0xb5f73b50, 0x0fc380fb, 0x514872ba, 0xd92dc74d, 0x93011031, 0x79ae8f93, 0x8a0b66b7,
+    0xb80ad8eb, 0x783ee56f, 0x91dd1300, 0x5d53a87b, 0xf50f485d, 0x6c7275eb, 0x36c3cdb0, 0xdfbacc1e,
+    0xb0d07769, 0x3a9d05ea, 0xe2a0dba4, 0xe2b448da, 0x9d06f722, 0x72c62dc4, 0x6eaa60b3, 0x10fe3e32,
+    0xaeabf521, 0x8af9f379, 0x7556e9cb, 0x178a976f, 0x710e04d5, 0xd0c6e092, 0x89f72714, 0x0d3ef907,
+    0xf76ce042, 0x107ebc5b, 0x90e9006b, 0xf63d1344, 0x69442cda, 0x6e32c396, 0x4f8f8bc6, 0xd9a15d35,
+    0x97457448, 0x68b8e40d, 0x3cc172f8, 0xd74b779b, 0xdef79e61, 0xeb1fdade, 0x9e00b5be, 0x29f5ac81,
+    0xc01091e9, 0x20b34443, 0xd5a6fbf9, 0xdde54f3b, 0xadbb3e0d, 0xd18f0092, 0x132509b7, 0x340b00da,
+    0xf1dd6f31, 0xc41622ba, 0xf8708cb8, 0xaa835732, 0x3b5bc7a9, 0x14c13af9, 0xee8ecc4a, 0xea342972,
+    0x75bfc629, 0x223549e7, 0xaff4a6ae, 0x0b504794, 0x9259f603, 0xe43b90b3, 0xf952ca09, 0xb480af5b,
+    0xdc5d4514, 0xca4f0e69, 0x9fa0a1b1, 0xbb993e20, 0x18ce1f0c, 0xd9e447b2, 0x9641da6a, 0x4775c6e6,
+    0x7ec32f66, 0x79416d00, 0x77efd1ea, 0x4501e9f7, 0xdca88218, 0xef6565a9, 0x852b8844, 0x53acaeb7,
+    0x9d41ef43, 0xca5019ed, 0xacfa14f0, 0x47bad90c, 0x542b1c08, 0x6f6c7f4a, 0x6c569fac, 0x08b0ae13,
+    0x2566c6fc, 0x9053db57, 0x08265327, 0x762d0dae, 0x614e4ab8, 0xbc2affe8, 0x87c301e0, 0x9efb559a,
+    0x00000000,
+    0x2599349c, 0x48059281, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000044601490397061246283071436545296723011960832 */
+  { 0x00000000,
+    0x33d807a7, 0x57ce92cf, 0x6a6e0861, 0x1f2ee84d, 0xeb584a47, 0x299621c1, 0x626bb283, 0x7da2554e,
+    0xac456b50, 0x261d0274, 0xd894d177, 0x254ecc77, 0x6644b852, 0x0efc26c8, 0xa5b7ac4b, 0xe386dad3,
+    0xe7c3e3f1, 0x6c31f090, 0x6e045db7, 0xa1404a75, 0x7fc2dafc, 0x71a89c91, 0xd9a79e2a, 0xfccd888f,
+    0x6b70dda8, 0x6e00630a, 0x99be1678, 0xe43915bd, 0xb82b2efc, 0xd10f6ebc, 0x65efdc27, 0xeb5c6d5c,
+    0x8034799e, 0x7acdc2a2, 0x46d1b8e5, 0xba88f36b, 0x4efb70da, 0x2899ddf1, 0x4fd91f1f, 0x9dd27171,
+    0x350946f4, 0xc1b7bebf, 0x73ab675e, 0x686f289b, 0x5ea04af8, 0x8d24d485, 0x4e5f6125, 0x30402590,
+    0x32b12257, 0xe40af37a, 0x40572d1c, 0xa8713020, 0xb0c4cb5a, 0xcfe05599, 0x595c1d92, 0xaa9d5452,
+    0x13f0de91, 0xfd8c7c06, 0x246ee5a8, 0xc57d85d3, 0x60af7056, 0x85a2d8fa, 0x16bb3b9d, 0xeaed1f66,
+    0xa6091bef, 0x0429c35f, 0xd32429cc, 0xcf575e0a, 0xe7d69a9a, 0x73ab7b3b, 0x5989ffc2, 0xb3a76833,
+    0x2c6e10dc, 0x11251dcf, 0x3453a392, 0xf5f26e84, 0x795246aa, 0x72bdcb86, 0x66c4ac68, 0x12548d37,
+    0x67a93770, 0x46e49d07, 0x6683b33f, 0xd4f798dd, 0xaba58e4f, 0xf2d0f36d, 0x9a5d30b5, 0x9e375666,
+    0x2bdb8a3c, 0x5b29a95a, 0x00f382d6, 0xb106a596, 0xe09be8bb, 0x065acad9, 0xa5e8e553, 0xad0be61e,
+    0xa701e64b, 0xa825b2fa, 0x66d11a63, 0x13bc7965, 0x01522eeb, 0xd97b1aa1, 0x6de40f3a, 0x67fd09ce,
+    0xc681d139, 0xba70a375, 0x20077a42, 0xc2a7fd0f, 0x0c44f86f, 0x9b660663, 0x4b349fcc, 0xebfbd5f0,
+    0xff2c8050, 0xbd309799, 0x952266d1, 0x25404663, 0x8efb3438, 0x523a705f, 0x53578743, 0x0776f824,
+    0x0a42e8d7, 0x556492d2, 0x2fc33c05, 0x02b639b2, 0x5b73e463, 0x3c327d22, 0xf620e66c, 0x23c0b403,
+    0xb30bf145, 0x178f0100, 0xf49a04c9, 0x92fd88dc, 0xbb553c7d, 0xe6cbd8c0, 0xdda227b6, 0x29539e5d,
+    0xcdca09bc, 0xb401fba2, 0xfe031be0, 0x057b1314, 0x8853a531, 0x3961e96b, 0x511ff35d, 0x1074da4c,
+    0xdc061705, 0x10907af0, 0xa4eb4350, 0x4a3e46ad, 0x23a09d44, 0x3a7d3168, 0xba75458f, 0xb23c019e,
+    0xea7b98e8, 0x864ef227, 0x887acac3, 0xfb049bb4, 0x948fa61d, 0x9cc4605b, 0x7ff0e675, 0x8fc49217,
+    0x25e2a36a, 0x4b6738a8, 0x4d59c5a1, 0xdd0a932e, 0x8b463888, 0x4d8e8987, 0xe22c9ca5, 0x38d721cc,
+    0xfef495fc, 0x5f4f4d10, 0xddc584e8, 0x9ca7716c, 0x4d646878, 0x4d459ab7, 0x086f16fa, 0x2d971c7d,
+    0xa17219b5, 0x6bc95efe, 0x98de32d4, 0x0c6da42f, 0x33b20479, 0xe186188e, 0x525a8253, 0x362e98fb,
+    0x4dbf1423, 0xbd705843, 0x77e76d55, 0x5c75f2d8, 0xd0c06f52, 0x2b5bbba6, 0x27beef67, 0x06fcb78a,
+    0xa7503b94, 0x3eb1bd07, 0x8da07afd, 0xd47e2163, 0xa9ccfec6, 0x90e88cef, 0xfcda3b66, 0xbf2b3362,
+    0xaa90ee64, 0xddb52447, 0xc12cf6fc, 0xdd7643e0, 0x7452c009, 0xda6c8f57, 0x3d4c2eeb, 0x615e13df,
+    0x4e548d2b, 0x849299d2, 0x700e51ea, 0x48d9721c, 0x0f2ea9e7, 0xba87d739, 0xc8fd1bce, 0xdbf6d4ad,
+    0xb7dbc16b, 0xf6b762f6, 0xd4cea6c7, 0x6939ffaf, 0x32aee4d9, 0x02b51a48, 0x6f69c0ba, 0x5929b295,
+    0xb4d0ea34, 0x724793d8, 0x298e34e9, 0xeda0d5c9, 0xfc659294, 0x3fc12e77, 0x0ec996c6, 0x09d3bf4f,
+    0x56f8a6bc, 0x529d91ca, 0x751c7645, 0xfedb9dfe, 0xa0bd218c, 0xf4b71928, 0xde00addc, 0xaba1b807,
+    0xa0d7651b, 0x4c1677e6, 0x0864a909, 0x1e92222f, 0x19903964, 0xd1952b8d, 0x8ae588dd, 0xac280497,
+    0xef95d2bd, 0xfd4f066e, 0x08d68c6d, 0x5d404daa, 0x5aa03b23, 0x127577f8, 0xf579ff3b, 0x82b3f080,
+    0xa8e7f767, 0xf1ba68f5, 0xa21f8072, 0x48be766c, 0xeb6e9419, 0x644919c1, 0x66e4a976, 0x8b705d16,
+    0xfc581030, 0x94df6f31, 0x7f1ed106, 0xcd37588b, 0x19bfe2b5, 0xdd57aaeb, 0x773a9da0, 0x6c2897c9,
+    0xdf34df0d, 0x0ed5627f, 0x3994e149, 0xb393b857, 0xc6292e25, 0xbb3a379b, 0x7320fafd, 0x8930c2c3,
+    0xddda7a21, 0x8f74cb03, 0x87394e6f, 0xd427edbd, 0x94e4731b, 0x60647d90, 0x60d27111, 0x2c7ff4df,
+    0x02daa39e, 0xc17be210, 0x982192e4, 0xf2d8b3f2, 0xcb414679, 0x8ef57d45, 0x8369435f, 0xb9bbc43a,
+    0xac388f00, 0xc9d313b3, 0x854b843e, 0x0899e01b, 0xc8e0bd28, 0x24080dfa, 0x8b8618cc, 0xd1355344,
+    0x4eaa6de6, 0xdcaed196, 0x0aa29eb6, 0xf12d3cba, 0x6f3d4f8a, 0xa0805d0d, 0xc7764455, 0xb0ffcc64,
+    0xb5b4c296, 0xe6294f76, 0xde37ca72, 0x7613ebe9, 0x93b55d33, 0x6024cccb, 0xdeb82140, 0x9068b02c,
+    0x55c73014, 0xcf44234e, 0x2f6bf378, 0xed794570, 0xda0fc6cf, 0x1d0bd82d, 0xa4993605, 0xdb3434d9,
+    0x02bb660b, 0x5fd37575, 0x8939b565, 0x35ce0db3, 0xfb86b8e3, 0x29e2d360, 0x49f61a20, 0xe6e72692,
+    0x8bf22b53, 0xe5136732, 0x543d6237, 0x17ad8a8a, 0xf53bddb0, 0x06ecf20a, 0x237b243f, 0x9e038db6,
+    0x9c06ba1a, 0xab1d8a23, 0xf717ef42, 0x035edcd7, 0xdcba1f8a, 0x199a15e8, 0x6751a2b0, 0x07a4a4fd,
+    0xf0d31f86, 0xfff07850, 0x0d9f3dd1, 0x8e77520f, 0xf2a49577, 0xd12699ab, 0xaa269e5f, 0x6abcaa6c,
+    0x1df4def9, 0x3a87559a, 0x6b238e5d, 0x658afb4e, 0xf0d472b2, 0xdd4fde99, 0x1e0d0b72, 0x86f3e1b6,
+    0xa5baf6e5, 0xb3757850, 0x4093ece0, 0xad86966d, 0x9b2f51ac, 0xb6571326, 0x6e38c9be, 0x037d52cb,
+    0x04f6b674, 0xb39d805f, 0x8cc2b2a2, 0x895b05a6, 0x7d17327c, 0x8b3c0e69, 0x74d06972, 0x8f7427df,
+    0x77ecd87a, 0x1b993fb6, 0x57481fe1, 0x2a93aefe, 0xeebdd5e7, 0xb27c54be, 0x86be18c7, 0x6f0453b7,
+    0xfbb859a2, 0x1f828dac, 0xc6198fb3, 0x5181e31c, 0x192ababe, 0x738ecf32, 0xb4b5b5a9, 0x26f61ece,
+    0x5c78a0a8, 0xb0ad10fb, 0xc2df2e7d, 0x559da4b5, 0x213a6edf, 0x99862929, 0x429a948f, 0xec441acf,
+    0x17b21583, 0xf26612b9, 0xd0ee7fd1, 0xd45b72b8, 0xf3798da3, 0x2aa9e935, 0xba0fb2c2, 0x4911fd9b,
+    0x9b217a27, 0x51bfe8d5, 0x0ecf707d, 0x0f738659, 0xf22f655a, 0x22141bcd, 0x56c36813, 0xd91f0f20,
+    0x8a7d69c0, 0x53ce91a7, 0xae2fe8ae, 0x481855f9, 0xf86a7631, 0x720b6b87, 0xe9107378, 0x7809c7b9,
+    0xe4af7699, 0x13d66b93, 0x12ae4862, 0x46657b82, 0x053a8ac2, 0xc0eed76c, 0x96a512a6, 0x7d8eff8f,
+    0x19a45be2, 0x8efdd2ae, 0x8a5b4e0b, 0x2fd80309, 0xa3e2c816, 0x49b4c215, 0xf1b17f96, 0x275b7ee5,
+    0x3f8e5cad, 0x87617686, 0xd1c757a0, 0x135d437f, 0x30c7883f, 0xab88f029, 0xff719e43, 0xbd1f1d7c,
+    0x02353ccd, 0x434cabce, 0x3951a70f, 0xa77bae83, 0x126c0393, 0x0b1f8cec, 0x27c12e5a, 0x658915e8,
+    0x31267cf8, 0x93f26dd3, 0xd92cf49d, 0xf4dd9516, 0x56a1d8e1, 0x9cba0a23, 0xd2c28f50, 0x5fc7d532,
+    0x7228ec6b, 0x1744538b, 0x9329f619, 0x9717b130, 0xe9aee559, 0x955083a4, 0xd0207ff0, 0x1a4310d1,
+    0x9ad06334, 0xbef13f02, 0xe95da68b, 0xa92a7d58, 0x944ab5ec, 0x26462086, 0xeb4cbfe1, 0x482ade8b,
+    0x505199ca, 0x719f7e23, 0x862ab240, 0xd08a2af2, 0xddf02bb0, 0xe77d0c7d, 0x6eb7836f, 0x2e92d7de,
+    0x59c2d71b, 0x6b528341, 0x45783707, 0x3a4bec8a, 0xd88fd26c, 0x44682224, 0x16b67a18, 0x85e07cb7,
+    0x8d353dd7, 0x3aeb48c1, 0x508f5b51, 0x1a903758, 0x7d9199f6, 0x43544bc5, 0x7dd088f2, 0xd232ff3e,
+    0xed04a3e7, 0xc146d4bf, 0x8cad30ed, 0xfbfdd04f, 0x67a7db74, 0xdecb03eb, 0xfceb503b, 0xb3f013fe,
+    0xb96886c0, 0x8f8436ce, 0x2d2c73a5, 0x5536fb59, 0xa033fde3, 0xc2df0e4c, 0x2195301a, 0xac8bd307,
+    0xcf087274, 0xa2902639, 0x93f86984, 0xf7cc6ab6, 0xc80f79c1, 0x84da3dd5, 0x9d3a347f, 0x745aae96,
+    0x8f0a2060, 0x8ee8ed6d, 0x05ccc3a8, 0x2d854c66, 0xe1e5b625, 0xd118aa2c, 0x0b01fd79, 0xe932de9e,
+    0x447e8965, 0x8caf7f5c, 0xc5d027d1, 0x5a297265, 0x3128b674, 0x4a5dcf69, 0x44b568cc, 0x8f9cdf73,
+    0xae0aa79f, 0x9aacd688, 0x072d9852, 0x4e55fc4d, 0x537d54dd, 0x3b2c46c4, 0xa0e418a7, 0x82e13726,
+    0xab91309d, 0x8f6e1f35, 0x353d3586, 0x859c40cf, 0x04f603ae, 0x7ff3221e, 0x445c42b6, 0xfcdec77b,
+    0x80ccf64c, 0x186f5404, 0x39bada98, 0xf96d5d9a, 0xa7be38b7, 0x30a5e7be, 0x222bb2ae, 0xb3ef4f6c,
+    0x023d5ada, 0x10065ab0, 0xa013d1d3, 0xb49d3707, 0x16b21fe5, 0x6fe09d60, 0xb16b22ca, 0xb7173297,
+    0x9ba60c78, 0x338f7dcb, 0x32809b9c, 0x2f6a7c34, 0xf3cde2c9, 0x568268fc, 0xf1318dde, 0x1b863495,
+    0xdb84ba2d, 0x87001efa, 0xa5830dfb, 0x00f86c94, 0x6dad4188, 0x2239a1f3, 0x19684d0a, 0xfbb3a34b,
+    0xc9317561, 0x590de721, 0xe335f532, 0x05be7033, 0xfdd1b70e, 0xafb49ac0, 0x42f13e7b, 0x5e1a5bc0,
+    0xc397880d, 0xcb83043e, 0xc5221111, 0x414a7842, 0x28b785b7, 0x102cfa2e, 0x9e6fcf79, 0x887275eb,
+    0x6134e7b2, 0x49cfbc09, 0xd0f3f357, 0xbab74281, 0x8799a9a1, 0xa4dd26da, 0x880c9b57, 0x4adb18ce,
+    0xf8bda5a9, 0x5d8421e0, 0xd127489e, 0x34453fb3, 0x3c33c363, 0xc2100043, 0xd97fd9b2, 0x68f7e62a,
+    0x1965c756, 0xc03de48c, 0x14e099e6, 0x6801736a, 0x72826412, 0x5d365bb9, 0x3447e146, 0xd8be7a9b,
+    0x88a7826c, 0xc6fb8e9c, 0xfe8e1292, 0x3204912f, 0xce23b7e7, 0x0c6154bc, 0x97b6ea73, 0x3af45d3c,
+    0x17cde4f3, 0x1c6132aa, 0xbd666b23, 0xec102af5, 0xaca75dad, 0x6434dbc3, 0x6a599dc0, 0x83cc877a,
+    0xda2a6aaf, 0xfcc346aa, 0xbc8a1676, 0xee5dd69f, 0x41a2fd3b, 0xa38c0c7b, 0x8d6fb32d, 0xd8882580,
+    0xf2fcc3f7, 0xe8557abe, 0x077df996, 0x3b4738a5, 0xe93b01dd, 0xd243fe0c, 0x52147bf7, 0xe54bcfa6,
+    0xce4cb4c7, 0xae822763, 0xab37baac, 0x02eddf2e, 0x88913ecb, 0x790c6fda, 0x985bb99d, 0x82e6dcc7,
+    0x18717a5d, 0xe16ec653, 0x126bd0e5, 0xfe6e6b34, 0x858609eb, 0x938e35d2, 0x46903bde, 0x9a6288f9,
+    0x8b78c9de, 0x0e6b06fb, 0x76ea67f9, 0x881bdaee, 0x33c7361b, 0x9931a3fc, 0x0f528b47, 0x8433d00c,
+    0xc88f53a1, 0x01a03ed4, 0x84911dc9, 0x5104cc28, 0xeda27324, 0x1173cff4, 0x5a1fcc54, 0x91db0044,
+    0x90530298, 0x6486dc1c, 0xac20c1ac, 0xbaed7e3b, 0x3ee8b516, 0xf7374400, 0x6f19444d, 0xe1584ed6,
+    0xec9ec7de, 0x2b7c9f22, 0xd4b6f79a, 0xa67f4c47, 0x43bf3cad, 0xcacd6c43, 0xbe28c5f1, 0x3366e6fb,
+    0xee981459, 0xf1bb0968, 0xcb8b2685, 0x421032af, 0xc6bc2307, 0x8b9db654, 0xb8b5a0e9, 0x5f672454,
+    0x7532a924, 0xe7800405, 0xfbb9c029, 0xaa895a69, 0xc1c9c563, 0x3ae72e6d, 0x1f015901, 0xa5c124ef,
+    0x15bf0bb9, 0x112576a6, 0xd7df23b7, 0x7500caf7, 0x61b05b91, 0xfbb88cfe, 0xec17f1a3, 0x658c2f5c,
+    0x24f26e03, 0x1949c7b3, 0xb00686fd, 0xc095f908, 0x780d1e8c, 0x23395ff5, 0xbef59c66, 0xadec88a8,
+    0x810b419c, 0x4dba243d, 0xa62eb21c, 0xa39e3bc5, 0xdd5c34ee, 0xe5e8a5c2, 0x6e013c36, 0x85a0e7b3,
+    0xc04028f6, 0x7a921cfa, 0x773313eb, 0x504745c7, 0xfb25105a, 0xe60a9aeb, 0x8f310018, 0x3aebc7f3,
+    0x53d679eb, 0xfce3a328, 0x601995a3, 0x18fc76b4, 0xb1ffbfd8, 0x110e6132, 0xe0b31739, 0x524d6b54,
+    0xa8ca6c0e, 0x2c1537c1, 0x66f8ad2e, 0x46a626eb, 0x487544cd, 0xdd842477, 0xda3db707, 0x0d8766b2,
+    0xd9dfa5d5, 0x75fa6a31, 0x15626e89, 0x5a43b0df, 0xe41b4bb9, 0x50c91906, 0x6afacde2, 0x853ccb2b,
+    0x262f4e16, 0x5cae47de, 0x8596606a, 0x2be55110, 0x293956a2, 0x0d0b5009, 0xee9468e6, 0xc29699f9,
+    0x192ea05d, 0xf341025a, 0x3852bc52, 0xcabc1c62, 0xcd28f251, 0x2096cb4c, 0x80756785, 0xa0ff374b,
+    0xb72f4d69, 0xcda198ba, 0xb78e243b, 0xcaa4f859, 0x49629d19, 0x4d7f9d0a, 0xb9d3ec97, 0x79a45baa,
+    0x77a6c3fa, 0xbfb98850, 0x17063374, 0x578ed2e0, 0x96bc57e8, 0x899a00b2, 0x5fcd62f9, 0xc6fc38b0,
+    0x0b76b798, 0x6c798498, 0x0b0d2598, 0x6762bcda, 0x4e481f41, 0x9067bac8, 0x9202c487, 0x65e95d53,
+    0x6f7dbe93, 0x6652c8d5, 0x936546f6, 0x9f477eee, 0x7cc0cdbf, 0x205aece3, 0x4686983a, 0x2dc2df27,
+    0x86f6a882, 0x2497807b, 0xc9161982, 0x8c004706, 0x7678071f, 0x1ed84db4, 0x26b0b5a0, 0xe72013da,
+    0xf6418293, 0xe58db3d9, 0xca000b6c, 0x8e31af08, 0x5cc697f0, 0x271846c6, 0xe8daa30f, 0x4be4339a,
+    0x5a4aa55d, 0x203053f1, 0xec4ddc6a, 0x64a20920, 0x23788304, 0x681bebdd, 0xb78aee78, 0xc9cf396b,
+    0xb3b1916c, 0xac26ad15, 0x6053feb7, 0xc6b16372, 0x60f3c6c5, 0xac1daf66, 0x080b0f19, 0x733dfaab,
+    0xbf815c6a, 0x7e6f0137, 0x051c5600, 0x4a37a47e, 0x6092b937, 0xd7c825f9, 0xf7801158, 0xcf0d322b,
+    0xd54c0bf8, 0x7966355c, 0x693d38f6, 0x363023a0, 0xf4d76644, 0x1ce0fba1, 0xdce46095, 0x327d6f2c,
+    0x6f0c8287, 0x26aeccb8, 0x6cf34225, 0xfae90be3, 0x6b4f9b65, 0x49144e9b, 0xfabaf870, 0x2f2bb63f,
+    0xca5de8bd, 0x50956847, 0x248f9cfc, 0x49584ccd, 0xb71502e2, 0x5336663c, 0xb6bf71d1, 0xea6b6f70,
+    0x0625143b, 0x4a1fbd7a, 0xaa163402, 0xa46c3aae, 0x9e3277e5, 0x0a5e4542, 0x1c2568cf, 0x2ff11f09,
+    0x2c6a570e, 0x6f92d86f, 0x77754192, 0x97540ee4, 0x1ca4be20, 0x9043f827, 0xfb7cb3a3, 0x3eb0491c,
+    0x3e4d8b40, 0x59fcc3e1, 0xe8f5ae1a, 0x7cc00c24, 0x01f70c06, 0xe2cb92ec, 0x339d16fd, 0xcc5eda98,
+    0x468c638f, 0xbb4ad6a3, 0x59d3dd0f, 0x88997232, 0xfc056a17, 0x1b0e4358, 0xc518e9a1, 0xa049ae36,
+    0xef5dc931, 0x9996f158, 0xf427e0a6, 0xff38407f, 0xb2668500, 0x02edeb16, 0xb5cf8c94, 0x9e7671c4,
+    0x9dd93692, 0xb036d60d, 0x0943743a, 0xae14a12e, 0xe9961654, 0x5357606d, 0x9f5b71b8, 0xb5651685,
+    0xa23067d2, 0x25420dd5, 0xcdc7fd55, 0x36089ac6, 0x99b58ae5, 0xe8541d81, 0xe0982ac1, 0x31b609e3,
+    0xbac66e3b, 0xba06560e, 0x7b0e2936, 0xdf9893b5, 0x7778d7d2, 0x0a90a045, 0x56d5d467, 0x47ff4e44,
+    0xa12d27f8, 0x4a9b15a9, 0xf6c2a4e7, 0x1b2c8e3c, 0xf4e50303, 0x07b66281, 0xbf8500e3, 0xc105a66f,
+    0x588f16c2, 0x45464868, 0x44ab9642, 0xee0d3336, 0xd4059b4e, 0xd03ed88a, 0x0b73f118, 0xf0236c7d,
+    0x746c12f2, 0x23f1939d, 0x98289a78, 0x5ce93a31, 0x2d6f7ae3, 0x54970bc0, 0x920fac44, 0x2f798494,
+    0x2be52b86, 0x4fd6a5c4, 0x95b5a6b1, 0xcf266301, 0x0107aa24, 0x93a8c6af, 0x6c124405, 0xc39728e7,
+    0xbe01d4c0, 0x6b732dd4, 0xe7b0abbf, 0xf30dcaa7, 0x2e9d715a, 0x924675cd, 0x8117fb22, 0xc9bda278,
+    0x00000000,
+    0x92cc9a4d, 0x2402c940, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000022300745198530623141535718272648361505980416 */
+  { 0x00000000,
+    0x5312eeda, 0xbee56a31, 0x26c5206d, 0x13e946a9, 0x51467a8e, 0xb3b8c917, 0x586a77fa, 0x9a2c1f07,
+    0x6f8442e7, 0x1be56ad9, 0x3b711341, 0x36a45719, 0x419bb918, 0x5ad8b8c1, 0x58b751d7, 0xb2651719,
+    0x414fe03a, 0x6a32f691, 0xd354a96a, 0x337c5fc8, 0xf1690bfb, 0xd51243fe, 0xa756619e, 0xb74baad1,
+    0x46374b12, 0x94d5544b, 0x73021ead, 0x0f4882a0, 0x89e60c04, 0xff7128b2, 0xcd7b7f23, 0x18cc7de4,
+    0xd6316321, 0xff0b40d0, 0x6a58441e, 0x80e1cd68, 0xa0010f9c, 0x992e989b, 0xb52baf42, 0x5b749d4c,
+    0x1fcd5581, 0x20f9a0ae, 0x11f74884, 0x477239fc, 0x171c624d, 0x8a0a3eca, 0xe3169886, 0xe5a5bc1f,
+    0x7c782d0f, 0xba0e3104, 0x3088f474, 0x32cde7f2, 0x16aeec13, 0x2957b05c, 0x12477074, 0xaec045dd,
+    0xb9ae6047, 0xea4affac, 0x99f0b1be, 0x1ba060c1, 0xcf73ab63, 0xcdeb0a4e, 0xd6611e67, 0x157ea1a2,
+    0xe69ac569, 0x7a6aec0b, 0x666abbe3, 0x6129e8c2, 0x80f8e6ba, 0x495a1a5b, 0x5ddcb9f6, 0xb68deb6f,
+    0xcd42c59f, 0x3689ccbd, 0x86250734, 0xf2d629b8, 0x630d8a92, 0x5d447055, 0x411d9fc9, 0x1e67ecbb,
+    0x2fd7605b, 0xf1aa917c, 0xa5ef2276, 0xbf23a264, 0x4c22e1c0, 0x519d7abb, 0x28e34b83, 0x8b71eca4,
+    0x4efff76f, 0xe86e6be8, 0x83104038, 0x019cd5da, 0x0ddfb5a8, 0x21de38c0, 0x01a6dc14, 0xa132c566,
+    0xf8236463, 0x2a2f293e, 0x3b5db64e, 0x068d31cb, 0x6c58e063, 0xbd0d577b, 0xeececfdf, 0xa3e324ce,
+    0xd6aa4739, 0xb022700f, 0xdd05a71a, 0x6e31af66, 0x6eecbde1, 0x14ea2820, 0x891f9e64, 0x723d7d22,
+    0xb323db70, 0x8313a922, 0x15e2377e, 0x578a3e92, 0xce4e8c5d, 0x92c17725, 0x8a8cd215, 0x113fb765,
+    0xa1cdcc4d, 0x460c04df, 0x9bd1cf9c, 0x7119da74, 0xdccd2751, 0x4b22ae3f, 0x848d44c9, 0x2c6173d9,
+    0xd280bd74, 0xe92f9b4c, 0x821d01e7, 0xf4968455, 0xae97a89d, 0x4b6cb0eb, 0x2dbc7b5e, 0x12ae36b0,
+    0x586fc1d4, 0x96d49c13, 0x4de2d68c, 0x1c0d5e7e, 0xcc072083, 0xf9f2c270, 0xda64301b, 0x390c4e9f,
+    0x1ffc70cc, 0x9bfd0933, 0x659b0c49, 0x7a63bdae, 0x15cbc9eb, 0x6fcc2532, 0x3b2038a5, 0x46b1db1d,
+    0x6e04f5b2, 0x7dcc55b0, 0xaf4aed02, 0x05893908, 0xd232e700, 0x9b7c3999, 0xd9d6be7c, 0x0558932e,
+    0xf29f6cf2, 0xe1682977, 0x42493fef, 0x436594aa, 0x03b67642, 0x4d5b09f9, 0x2cff1680, 0xaa01c091,
+    0x80b8f97a, 0x09cf671f, 0x8f229ad9, 0xdaa26483, 0xcd2d89a2, 0xc9bc9416, 0x50558205, 0x64852522,
+    0x83cb4f45, 0xd76e29f3, 0xedab7cbd, 0xe44a16d8, 0x444f6a3e, 0xfaea730a, 0x2713ef22, 0x3445ba11,
+    0x2682e16d, 0x6ece0a0e, 0x6d6c3bab, 0x4f8dc08c, 0xc1d7f8cc, 0x192fad53, 0x4d32c653, 0x5e54f4b1,
+    0xea9410b2, 0x5a579e94, 0xf6088cae, 0xc66030ab, 0xda3db9ed, 0x5c7c4d91, 0x92570710, 0xc89c6280,
+    0x24860d68, 0x57b741bd, 0xc22c2ae0, 0xa661e0c3, 0xd39ad135, 0xa55c36aa, 0xf47ed170, 0xe6778596,
+    0xab8cf393, 0x090ae858, 0x12f1bccb, 0xa735144e, 0xe414c559, 0x3fe2d02d, 0x2255541a, 0x6e145183,
+    0x6a87d8bb, 0x57d45d78, 0xe18f8749, 0x7a6a3281, 0x5352911c, 0x12c60f38, 0x98dfeeeb, 0x810493bd,
+    0xcd1b2e09, 0x52712133, 0xd217b8d6, 0x66e14c76, 0x30fc3c37, 0x22297ca5, 0x6ab227de, 0x0bcf5ad5,
+    0xa53ed00d, 0xc813213f, 0x97839d17, 0x920712ae, 0xb7338377, 0xbf818592, 0x8d85c0a9, 0x22d65bb3,
+    0x2f7b1277, 0xc267bea8, 0x5d8ad7e5, 0x09141282, 0xf145c5ce, 0x60bc237f, 0xd68bf801, 0x0b19d640,
+    0x4768ec39, 0xf294f1c6, 0x3fd63d8f, 0x8225693f, 0xd028b9d2, 0x04156190, 0xeed4fedc, 0xe1d946df,
+    0xfdfa2b13, 0x6d2509de, 0xc6fcf21c, 0xaf11ba9b, 0x85d16083, 0x4616b8a6, 0xa7fcbee7, 0xa7efdcba,
+    0xb43323ab, 0x7a2cc4ad, 0x5b458bb6, 0x2ef0edff, 0x642d9e80, 0xf2169b00, 0x0718bd44, 0x83394802,
+    0xde5642d0, 0x79422833, 0x45675fd7, 0x3869b958, 0x1afb0dba, 0xbe122cd6, 0x9e6ca84e, 0xc1b7fd25,
+    0x0c01468f, 0x1a656b4a, 0x5569cf6f, 0xa287f5ba, 0x664c4c12, 0x7c824408, 0xf94e8750, 0x33da558a,
+    0x13e42400, 0x3d34fe25, 0xb806fb52, 0x7f27bcef, 0x328cba40, 0x1a404556, 0x5cd41cf4, 0xa993ac0c,
+    0x5599c1fd, 0xbe867d51, 0xd87f9c47, 0xcbcde68c, 0xc7d6a61c, 0x4cc88136, 0x4af5f4db, 0x6dda9b87,
+    0xb4133838, 0x0af542e6, 0x4f66b50c, 0x99d162bf, 0x9bd2856f, 0x34ef7ced, 0xa99b6651, 0x1c2e8da0,
+    0x896d09c2, 0x3c3f223e, 0x32fe415a, 0xf3c7a727, 0x9b514f42, 0x9752d34d, 0xa95a0f21, 0xd772c5f1,
+    0x120244e7, 0xb04fbb94, 0x5f3af877, 0x1dc7ddf6, 0x9899ba84, 0x19f4df57, 0x503a4a01, 0x3c78fd27,
+    0xfa04398c, 0x966e596e, 0xeaf6ada0, 0x77d1f602, 0xf50a0eb4, 0xede08a0c, 0x70fbab15, 0xf4587cc2,
+    0xe0d21497, 0x6c1d55bf, 0x08eec1ba, 0xf2b33d72, 0xea4c7351, 0xbe6c8104, 0x596bba93, 0x7a06eff8,
+    0x4b0a6dd5, 0x312bb52e, 0x26281fec, 0xe1359f7a, 0x6875fbd1, 0x86fa1632, 0xadea5e54, 0x1f737f63,
+    0xadcab735, 0xdc093d85, 0xddbb3ed5, 0x2429b41f, 0x72d53f03, 0x331dd874, 0x9a8c415a, 0xb0555ad9,
+    0x1f80c7cb, 0xc971e825, 0x6a945aac, 0x6ba08949, 0x756a5c61, 0xb2bfb678, 0x31fb5653, 0x4fe589a7,
+    0x9b17f0e7, 0x3456cf05, 0x5f2be6d8, 0x4995fe41, 0x2dc36cc8, 0xea234f75, 0x70f5bcae, 0x5f4d8efc,
+    0x69869aab, 0x5b192f54, 0x3414ec83, 0x0b58315a, 0xc2f91868, 0xd107e0d4, 0xfd56e09d, 0x3468f446,
+    0x1c0a0da1, 0x6d5b6ec9, 0x2a71cb80, 0x9a094529, 0xbd63671c, 0x0ffb1df4, 0x551415a4, 0x68427687,
+    0x6ec4cc6a, 0x2788c40d, 0x0c96a5b8, 0xc992cc02, 0x4bd46676, 0x858eaef5, 0xac0673a8, 0x5e1015dd,
+    0x7c4e758f, 0xe7486a05, 0x6eba4843, 0x016ba683, 0x06239cbf, 0xeac18a48, 0xc42ac51a, 0x76be4fa8,
+    0x7638a6d3, 0x2d629aa7, 0x119463f4, 0x8569001f, 0x0a2db362, 0xe2103405, 0x724b890a, 0x18e8822d,
+    0x6a1d9e65, 0x4efc2193, 0x8d03deea, 0x854bf8b6, 0x76550654, 0x7fbc487f, 0x4a476941, 0x37762b31,
+    0x91b4dabb, 0xa5331f31, 0xba787b0e, 0x8a838a08, 0x3158eb4c, 0x93a97d3e, 0x0f89b285, 0x5f20cd10,
+    0xd9751748, 0x719cdf58, 0xdc018818, 0x1b5a48bb, 0x72a2d603, 0xfdbc8c14, 0x07cfd4ef, 0x11e0b69b,
+    0x32f07d4a, 0x5fc4ee97, 0x38ab1eeb, 0xadc84094, 0x1de3efdb, 0x96d1828e, 0x95a5d3e8, 0x2f3c7c35,
+    0xa4a0ac8b, 0x3be64ed1, 0xfff5b164, 0xe6bf72ba, 0x887f78f7, 0xbd05d12b, 0x630045f4, 0x114d8ab4,
+    0xa9387378, 0xac75c0fc, 0xdb13c255, 0x16ef3f0e, 0x5b20a0fd, 0xae1aff10, 0x96994a10, 0x57e8925a,
+    0x453813ed, 0xd3c2332d, 0x85b11225, 0xbe704f04, 0x7e926b3f, 0xe7dac51d, 0xcfc81911, 0x463bbf01,
+    0xcec641d4, 0xabbc6265, 0x9fedf82f, 0x47eb7ae7, 0x67a89a52, 0x3c801ffc, 0xf374f60a, 0xb1f7d1ad,
+    0x144bcb4c, 0xbf734df3, 0xb0f116f3, 0xe68caa13, 0xd8b4c1ad, 0x2f8b1041, 0xec930003, 0xa609842e,
+    0xb122a2e6, 0x808f80cd, 0xc895f269, 0x9185ff01, 0x31aaf45a, 0x828c13f2, 0x11005f35, 0x612cf7c0,
+    0x062137c5, 0x66ee5ad4, 0x68c721a2, 0x6e973816, 0x2910f6d2, 0xf7f482a8, 0x677db3c4, 0x1cc0232d,
+    0x05215012, 0xf284667c, 0xb9854930, 0xce5ef176, 0x0d46c3e0, 0x85f30ebe, 0x424a3141, 0x615ff074,
+    0x68fc9a3e, 0x73474075, 0xc5ae6548, 0x4a39ea93, 0x60501f15, 0xeab76bd7, 0x70fae81b, 0x7cac0bfd,
+    0xa16426f1, 0xd15ebb51, 0x864bb494, 0xd1413570, 0xc79c0259, 0x8e597e20, 0x0e4e8a2b, 0x1218ddde,
+    0x4dac4aea, 0x54fc307d, 0x04f09276, 0xb961bc0b, 0xb6f268d6, 0x49d3e2d7, 0x68c6e5c1, 0x796db598,
+    0x5234bacd, 0xa547459c, 0xebac7035, 0x4a4c901b, 0x9abebf74, 0xa2d6f8c6, 0xc47daa00, 0x59a42d14,
+    0x66d5e387, 0xb6893bd2, 0x65b7b41b, 0xb3c06b98, 0xd085526e, 0xa7c609cc, 0x542a5b99, 0x242c6e15,
+    0x12d4d324, 0xc5fd202d, 0x4d3dfe03, 0x980b958f, 0x0eb31953, 0x58e2e59b, 0xa1844ef0, 0x43d71c38,
+    0x6afb1a9b, 0xb644b3ac, 0x16addb3d, 0x1f5f1b67, 0xe499e85f, 0x139ee3de, 0xd7169157, 0x989db123,
+    0x66646425, 0x0d26bb24, 0xb981e81d, 0x8108abf7, 0x3451808e, 0x46a7bb8b, 0x4c0b5e78, 0xb06dd1e6,
+    0xb3e219e8, 0x72fc01d2, 0x58ece79c, 0xb44c1607, 0x8c37c44e, 0x44ed23bb, 0x41846fd5, 0x37fc6c10,
+    0x978579f9, 0xd1317cd8, 0x7b07ec8f, 0x251cd702, 0x15bb19c1, 0x6546d877, 0xa58539ce, 0x6d26c44b,
+    0xc1797cc0, 0xac97011c, 0xde0e319c, 0x757b23ab, 0x532f58ee, 0x04b3b91d, 0xe10a269b, 0xa1efb981,
+    0x2913200f, 0xdcd80b03, 0x8fc84d92, 0x4a7b814f, 0xadcfc3d9, 0x49dd40aa, 0x7678929f, 0x61f60f22,
+    0xd9967374, 0x6a39f2db, 0x1e4e1271, 0xa8e05da6, 0xd7d2b1a8, 0xd610fd65, 0x4c0cda8e, 0x94cf8cad,
+    0x5401f331, 0xcf7d7dd9, 0xe73403ff, 0x5b931957, 0xb16633bb, 0xcb2b777d, 0x84fcecb0, 0xec60fc67,
+    0xe84f0e73, 0x0f222123, 0x1797d6c2, 0x62b93ff3, 0x3fb85894, 0x150b5a99, 0x8317528b, 0xdb446fe2,
+    0x37dc0e58, 0x5bf29bd6, 0x688dcdd4, 0x25df4a4b, 0xe3e0f7e6, 0xa43b1f1d, 0x1ed4714b, 0xf8377edc,
+    0xe0c75a43, 0xc684f4fd, 0x29a29c28, 0x67108411, 0xcf5aadfc, 0x551947c6, 0x588cee90, 0x24cd7830,
+    0xe3598a39, 0xb02562c4, 0x9d962c6a, 0xc2c0d2f3, 0xebd0eef5, 0xf922cdc3, 0xfdab0367, 0xf3d3ddc1,
+    0x728eeebd, 0x89564ffa, 0x7999094e, 0xd7830768, 0x74654586, 0x8d2d6959, 0x96d93763, 0x61fe5eb5,
+    0xd4aef9b7, 0x08e35717, 0xf4ae7f0d, 0x55284028, 0x65c9aa64, 0xbe3ef43d, 0xd899d487, 0x8399ce78,
+    0x27946d5e, 0xb39a751e, 0xb50b06bf, 0x3880b519, 0x7bc8c589, 0x2be97176, 0x51b5edd2, 0xd07e3a52,
+    0x29ce27eb, 0x7732f16e, 0xdebc6f04, 0x25ef4a55, 0x8c23f5a5, 0xebb1707e, 0xbbefcad3, 0xf16b6506,
+    0x802c4cf7, 0x94fff27b, 0xdf84c728, 0x34f19181, 0x083a48d1, 0x1839ddf9, 0xf78d1ceb, 0x7d974b08,
+    0x45b9a421, 0xaa16ecc0, 0xe8017190, 0xce2ea38b, 0xff2e9383, 0x043cee39, 0x7296975f, 0x1fd9e21f,
+    0x33593c68, 0xa6b9386c, 0x686d0a9f, 0xacf2f455, 0xf9074485, 0x06166382, 0x6eba0dc6, 0x2940aa23,
+    0xd3eae4ed, 0x75942893, 0x5e1741fd, 0x3eb9ce24, 0xe4010026, 0xebc6bece, 0xbe52143f, 0x4bb291a8,
+    0x646d06ef, 0x10d7e6cc, 0x9388db12, 0x5c34dd5f, 0xb143f862, 0x187c57c0, 0x92d7be6e, 0x275cd106,
+    0xdea2268a, 0xf32d0fb4, 0xb0e1f0be, 0xee75a0cb, 0x427965f6, 0x74390ce8, 0x35c64516, 0x28d62369,
+    0xe38478e6, 0x35e51b32, 0xe5996d9d, 0xb73a2189, 0x1d55cf0e, 0x060023f7, 0x32502b50, 0x7fa32451,
+    0x569dd1cf, 0xff7dd3db, 0x22937d4c, 0x65cd4323, 0x3ffba2cd, 0xe7ef2a35, 0xc9563c54, 0x2a8eb5a3,
+    0x676f4e83, 0x48aa1ae7, 0xa4183289, 0x39ca3cc2, 0x3b464120, 0x2c7f4c98, 0xb0cebfb1, 0xca7664d5,
+    0x56de1813, 0xdc866689, 0x41bbf468, 0x230bfbc8, 0xf608d85e, 0x3a463905, 0xbe8385c0, 0xa457ef62,
+    0xf13d2974, 0x327c4fa2, 0x2b7d21d4, 0xdaf0f620, 0x9cb8b61f, 0xdd6d4401, 0x7cadc12b, 0x496d2a66,
+    0xdccf71ef, 0xe6e96e18, 0x1f3660e5, 0xb7635036, 0x6c370b2a, 0xcd4af443, 0xfedbb5f4, 0x3455ac74,
+    0x23630099, 0x6f8ed16e, 0x318534a9, 0x007f4fe7, 0x2ab4d402, 0x84d2fd41, 0x08f35d0a, 0x5457a254,
+    0x6f696293, 0xa6f7ec6d, 0xab566f6f, 0x74cbdd93, 0x000a556f, 0x88d8a445, 0xf312a257, 0xe5ef22fe,
+    0x12d23fe8, 0xef22aed6, 0xb76cd160, 0x346e9ebe, 0xe417c142, 0x004452d7, 0x113a4558, 0x508bcd79,
+    0x80cfe1d7, 0x48e08b7a, 0xa20539d1, 0xf584afbf, 0x93091287, 0x892c5a77, 0x33b3718b, 0x9a5c0e02,
+    0xd0d1297c, 0x5d5e94a3, 0xc15a1b82, 0x466a789d, 0x461baba0, 0x6f55edd0, 0xe323b8af, 0x0a219716,
+    0x5f8959e3, 0xa0474be9, 0xe95e4221, 0xd1f1dc59, 0x1a6604bc, 0xc61fa6a4, 0x78a4cf29, 0xf4feb8af,
+    0x9f2772c1, 0x1898a8df, 0x2c7102f6, 0xb3e69a12, 0x71e67f03, 0xa695314d, 0xe11fcbc9, 0x4fd4e154,
+    0x05e9f593, 0x5deaa8ed, 0x76d763f7, 0xfbc9e572, 0xfd9bc11f, 0xced81163, 0x5857677f, 0xcc7ed4fd,
+    0x879bf4a1, 0xc6d58c36, 0x46fed540, 0x547d91e2, 0xcae89612, 0xbf9eb4b5, 0x714a45fa, 0x427ed64b,
+    0xf0a6d9e8, 0xa0ba2381, 0x966b389b, 0xf03408de, 0x9eff5003, 0x518953bf, 0xd2e3fef2, 0xe8c8bd65,
+    0x78ea15c3, 0xca58ec47, 0xdf00309f, 0x5e1049a6, 0x5bb42adf, 0xa25350d0, 0xff164c12, 0x8eb87640,
+    0x495b719f, 0xabec778e, 0x5d16c347, 0x12936ee0, 0x99e41463, 0x076f7bb4, 0xede01994, 0x1782f7c5,
+    0x99ad5073, 0xe2da8f46, 0x27d961f1, 0x1e0d0eba, 0x241a30ff, 0xe78cea55, 0x2514a3ae, 0x779c6342,
+    0x94af1114, 0xe19accdb, 0xccfaffc1, 0x7693a39a, 0xea954961, 0x95d0599a, 0x93196d92, 0x52249e8e,
+    0x3cf4f15c, 0x2af2dca9, 0x69293d27, 0xf61ee456, 0xce222f03, 0x23c611c2, 0x5d62350f, 0x736248d5,
+    0xd82d162a, 0x14ac85f8, 0xaf3e8116, 0xf068029f, 0x6d5aecae, 0x1d4e3773, 0xfc89dd16, 0x135b36c7,
+    0x626fa5b1, 0xa7df1e91, 0x3aed18c4, 0x33efa9ae, 0xbba121d5, 0x0a6c2c5d, 0xe538cf82, 0x9763c805,
+    0x183d5217, 0x8142eeb3, 0xb138f9f5, 0xd96c6377, 0xa75b13df, 0x88d4cd07, 0xab074315, 0x23f0969a,
+    0xa182062c, 0xece45dba, 0xbe3aa348, 0x4da4e29b, 0x5ef8b85c, 0x38035d16, 0x9267a4cb, 0x95083432,
+    0x12cc949a, 0x4c9cfcc0, 0x0b2b2b1b, 0x3079dc4e, 0xbb038e21, 0x2c2d4dc5, 0x01a81cd4, 0xebcf231e,
+    0xdd7c52f8, 0xdac7aaa1, 0x495692c7, 0xfbccd4a2, 0xe668cb6a, 0x3025bd55, 0xb214ec0f, 0xc80bfb7c,
+    0x08f08ebf, 0xc578b567, 0x43d4eede, 0xa8c2e813, 0xbf28a100, 0x0413480b, 0xaf3739f5, 0x6a865a8d,
+    0x01423070, 0x8e326495, 0xafa9d25a, 0x33a30c29, 0x99936911, 0x28b7d36a, 0x5eaf864f, 0xdf2b4749,
+    0xa1248766, 0xd83e9335, 0x54bcbff1, 0x7195b857, 0x52f3a7b0, 0x80217cfa, 0xf569ebb7, 0xc3945cd2,
+    0xfb6abc8f, 0x3f499f79, 0xb8c40257, 0x4cf70782, 0xa3f33aa2, 0xbe0b21df, 0xba72e693, 0x69674d63,
+    0xdcd5a28b, 0xa15b0481, 0xee37d038, 0xbf62769b, 0x1cc30f3c, 0xf6d10253, 0xf1d14223, 0xe659885f,
+    0xa4d9b604, 0x7259d123, 0x835d588f, 0x5c105904, 0xf1e12664, 0x76da3512, 0xef866fbd, 0xf59a63a1,
+    0x672eb41a, 0x160b620d, 0xf803daf6, 0x2b1d2919, 0x5e190a9d, 0x193e6b7f, 0x79d5874c, 0xa0b1de1f,
+    0x00000000,
+    0x49664d26, 0x120164a0, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000011150372599265311570767859136324180752990208 */
+  { 0x00000000,
+    0xb2fd674f, 0x320d147e, 0x50ec93a5, 0x8a07919a, 0x1ebac965, 0x7a0ee388, 0xb7c8d029, 0x61a14c3e,
+    0xa23137a9, 0x5d65ad31, 0xa620815e, 0xf1afb1e0, 0x636f5ddd, 0x558e39bd, 0xabc7c834, 0x1e9b435a,
+    0x55e78e5d, 0x49ad94f3, 0xe05c810b, 0xba873c6c, 0x5fc92d03, 0xfe49b1a4, 0x3051769e, 0x0759e894,
+    0x042a3a63, 0x414dea31, 0xf463d371, 0xcc052410, 0x08202083, 0x189b65ea, 0x57789adc, 0xcbeaf322,
+    0x73652936, 0x3c4f0277, 0x61e8e2d3, 0x6257aa0b, 0xcd614a9f, 0xdabf8df7, 0x6078c98e, 0x4f1ab9ee,
+    0x9936ded1, 0xb78650d7, 0x24e4718a, 0x1348c102, 0xa3efab73, 0x0a7f4f69, 0xe500700c, 0xb121be04,
+    0xae0fe86b, 0x941d5c43, 0x9b198d43, 0x0a3c766f, 0x7373efc3, 0x1b50e87f, 0x73ea8251, 0xf3ecd22e,
+    0x1128cf68, 0x3425414c, 0x91fb8b6b, 0x7ae899b1, 0x4767ed5a, 0xa4d2546d, 0xbc2c681e, 0x79b15e8e,
+    0x7b36e849, 0x7921d2c0, 0x2483454c, 0x3ec3de79, 0xd7084b80, 0xaa012c95, 0x5994eacc, 0xe4e0dce8,
+    0xf3bc09e2, 0x1da26308, 0xc00bea80, 0x3647aec7, 0xc4b81196, 0xebe63897, 0x9cdf4368, 0xf05939db,
+    0x4c5277a5, 0x8520caec, 0xd9b09abf, 0x556aa96b, 0xa0497b37, 0x56707834, 0x14da7721, 0x0f18e73a,
+    0xeb936125, 0x8f7cf9ab, 0x041d4ce4, 0xaea4e2e5, 0xd482b329, 0xd08a1fb5, 0x9f49c5d2, 0x8c5ad224,
+    0x453f6c38, 0x1a0bc26e, 0x91350c90, 0xafa29bfc, 0xe5e9aebb, 0x756da611, 0xd22c0da3, 0x79efc5a5,
+    0xdbb8c55f, 0xa1fe8480, 0xd41d2e41, 0x5637dfde, 0xd1849a2a, 0xaa569bd3, 0x12bbc415, 0x0264b217,
+    0xf2b0589b, 0x9967b338, 0x5310cc33, 0x850a8f04, 0x81d809e8, 0xdad16fe0, 0xf31c109f, 0x3d23feae,
+    0xa4635aef, 0x88b668ef, 0x23de798a, 0xd5c5246e, 0xdb325707, 0xa26f15c1, 0x111196c4, 0x00253af3,
+    0xdea62137, 0xca1f8f07, 0x7d9cb345, 0x55320b6f, 0xca15f030, 0x87e67864, 0x2bae402c, 0x0f09a851,
+    0xf5cec491, 0x631f2ef9, 0x890f35bc, 0xe8715743, 0x279bae32, 0xaed0a3bc, 0x1810ffcd, 0xebadf9d1,
+    0x8d1dc509, 0x51da8d6a, 0xe97da5c0, 0x2041c0a3, 0xd698c2b1, 0x4b437774, 0xa61bef5f, 0xe346ebef,
+    0xfc718a1d, 0xf46e31a1, 0x5ee481cd, 0x9908a2fd, 0xac176060, 0x29471044, 0xf46631ef, 0x3fb8bc43,
+    0x922e2dd5, 0x91ae8133, 0x04f97edf, 0x4c7703d5, 0xdff463da, 0xff359ef8, 0x7e8b6110, 0xa9e4fb48,
+    0xfddc0f73, 0xa7a92869, 0x3e25177b, 0x4b48d552, 0xd5e8ec79, 0xf1a30221, 0xd1c10bb4, 0xfa757d7c,
+    0x44fe966e, 0x2e76eafe, 0xf4d7cc3f, 0xaa261255, 0xd4328683, 0x46324978, 0x8d214322, 0xa0984c2d,
+    0xe1da364c, 0xa5e14d5c, 0xa9fd4ca8, 0x3262d892, 0xcdf2b785, 0xa8b8a426, 0x544a1f08, 0x5bd18a5c,
+    0x840c545f, 0x0fa547f2, 0xdae9623c, 0xaa130f66, 0xf434a6dd, 0xad7cdcb3, 0x3892d90e, 0xa1080d25,
+    0x326a8272, 0xf424cbcb, 0x2b924f99, 0xab054c48, 0x1b29dc9e, 0x7968010b, 0xbc8336b7, 0x7ad53290,
+    0x69ac275c, 0xd7a469eb, 0x544dab2d, 0xcf7cea2a, 0xf0fd151d, 0x44bb497e, 0xf181366a, 0xedc4229c,
+    0xfda697a2, 0x9fed1dde, 0x8b2311dd, 0x075d08d4, 0x1d377c9a, 0x481731e4, 0xee252d26, 0x56f304d5,
+    0x9dd0ee37, 0x543de439, 0x55ae1b8a, 0x43b6c432, 0xd907753c, 0x27c76e50, 0x7fb1ca26, 0xcc71282b,
+    0xa487f9e7, 0x654bbd2f, 0xef82ad1a, 0xd908349e, 0xfd52d756, 0x4dbe7476, 0x4dd627d2, 0xefc452c9,
+    0xbcab0e51, 0x65d16cb9, 0x6a5bdc06, 0xdd0d9a63, 0xb6799ca7, 0xb4e34628, 0x482c1b1d, 0xe2b78bb6,
+    0x8736b9a4, 0x640369fd, 0xc8cdeb8a, 0xf5ef713e, 0x98c18488, 0x018b36dd, 0x224c8270, 0x1e79e20d,
+    0x50d3ee32, 0x8d02018a, 0x9fe70cfb, 0x81c45098, 0xdff09137, 0x7eba6eb4, 0x4468ee39, 0x241bda01,
+    0xac8eb06b, 0xe62325d4, 0xd5151441, 0x5aacf72d, 0xfff6d639, 0x88232ce8, 0x4b2cc721, 0x44ab9d55,
+    0x2b35f134, 0xca2b4a28, 0x5fa12a7f, 0xfa645cb2, 0x1995120a, 0x4b2f3b4e, 0x8134d2aa, 0x7371d611,
+    0xf6a849e2, 0xa4de680c, 0x2f857cd4, 0xef246939, 0x2ab4c523, 0x53ab24e2, 0x12f445b5, 0xd9007363,
+    0xe2605797, 0xa47a8847, 0x74c3c420, 0xd086dafe, 0x64fbb517, 0xacead0a3, 0x3d28e4a6, 0xc3158be7,
+    0xd3eb7ef9, 0xdc65e377, 0xcb6e5ebd, 0xfa96edd2, 0x720d079f, 0x0eafcb7f, 0x935f32db, 0xc1002c92,
+    0x5c484773, 0x2249b89e, 0x71661f77, 0x182b827e, 0x6fcd9bc0, 0x894ee02d, 0xe1c46f7f, 0xdcf37a24,
+    0x7f895817, 0x4d561fa3, 0x1daae46d, 0x71b607d0, 0xdc230523, 0x21a7f7dd, 0x52d44678, 0xab61982d,
+    0x186ea6a1, 0x3e1ee15d, 0x2794d9b6, 0x11a911c3, 0x9b065847, 0x4d77aa84, 0x83c42758, 0xfa4d62f5,
+    0x540dddcc, 0x06089103, 0x3f998eee, 0x274be7e8, 0x8d8ca15b, 0x3a96b391, 0x52a78fe5, 0xb58577f0,
+    0x9848de74, 0xbce315b7, 0x4aa030aa, 0xc8d0056f, 0x14090de4, 0xb4df4e80, 0x0679e4f0, 0x5e66234e,
+    0x727b3632, 0xfdb5cdca, 0x2a3e7b88, 0x006b7969, 0x1599c0f8, 0x7cb9fbfe, 0x30d766f0, 0xc8ac6e64,
+    0x4bdea114, 0xe8b88f94, 0x992c0297, 0xe7b561b4, 0xdd826e18, 0xa59faf16, 0xf1239a39, 0x2342adec,
+    0x32591d81, 0x81032228, 0x8e169b9c, 0x7d1f405a, 0x5e6428c9, 0x23293cc8, 0x7c49c133, 0x9f586ee4,
+    0x79237454, 0x7506641e, 0x4bd8f871, 0xaa141919, 0xada29170, 0x528d18c8, 0xdffbd228, 0x22ba83c9,
+    0x60c116bb, 0x02ffe87a, 0x2a439aa6, 0x283f6548, 0x74545b6d, 0x6e1e6a45, 0x3ffcc609, 0x8bf3ed6a,
+    0x256e76a4, 0xc9d52ee1, 0xe43fcb3c, 0xab64d5cb, 0x0cf86bc2, 0xdba0b614, 0x07163f1c, 0xeeb93215,
+    0x189899c9, 0x19196df6, 0x5d936c51, 0xee039b04, 0xc2d31356, 0x88354c82, 0xa23474ab, 0xdb6b5c54,
+    0x6a1be431, 0x1310456e, 0x2069b14b, 0x24c0a2b3, 0x8b310aff, 0x5e4d3b03, 0xf4172ffe, 0xbd011664,
+    0xd730db96, 0xdd1ec79e, 0xd82335e1, 0xd04a7637, 0x043743b8, 0x73d6a8e7, 0xb5b2afec, 0x6f8b56b3,
+    0xa0ebeff0, 0x402a9e74, 0x013ddb86, 0xafb7fbbd, 0x624ce22e, 0xbf9ebe57, 0x45d0ba60, 0x3970e17f,
+    0x83171a2a, 0xbcf1797d, 0xa8126dc0, 0x121c5ddf, 0xa117a55f, 0x4c01fff0, 0x2d0bbed2, 0x67105099,
+    0x9dc1a2d3, 0x935a5b9a, 0x9378b60a, 0xea1a880e, 0xa9f00337, 0x36951b18, 0x3073b468, 0xfa51a60f,
+    0x61f84792, 0x55cc312d, 0xd8712d72, 0x13567bef, 0x72765e7e, 0xba257aad, 0x701955a5, 0xd2033472,
+    0xb950d25e, 0x1464a270, 0xe5042209, 0x9f40ed99, 0xecb8e79c, 0xee0fe134, 0xa4d8e808, 0x5384deff,
+    0x054fc7f2, 0xb6403aba, 0x4b7b5b17, 0xf69f0cac, 0x091daba2, 0xf7f6ca48, 0xb16c0cfb, 0xad40a242,
+    0x77df5458, 0x1205637f, 0x6afb2b1e, 0xbd2e6510, 0x614c14e8, 0x77f792ef, 0xc05b210a, 0x32b09e5a,
+    0x5c96f61e, 0x4ab95b3d, 0x562183bc, 0x951f829e, 0x30e1bd1c, 0xc37dc5f6, 0x64533ca8, 0x5c810c92,
+    0xba7f563b, 0xfb4a01e1, 0x3d1d4ada, 0xff5bb6ec, 0xc6ca2116, 0x92ac9c62, 0xec8463a3, 0x116d83b3,
+    0xa4740ebd, 0x4676dd14, 0x3ce5fe4f, 0xae0fe886, 0x4ada5b0b, 0x3bb4f919, 0xd288e976, 0xbce38cbd,
+    0x8e6e4fc2, 0xe64c4be9, 0x42751b08, 0x6edff73e, 0x7a601df7, 0xdcdacdd4, 0x2ad6e078, 0x099cde1e,
+    0xed422ce9, 0xc25220be, 0x9dc4900e, 0xbde76045, 0x546a1f9a, 0xc06313a8, 0xc9e9b513, 0xb1a8950f,
+    0xe7f039ab, 0x31b160a9, 0xc7f16db2, 0xa91958ce, 0xb52b4198, 0x4d51a49b, 0x7817b7bc, 0x7f75abde,
+    0x4887cc76, 0x95dbf62b, 0xcbee395e, 0x1a6699a8, 0xd57c7220, 0x8831cf23, 0x795f3e86, 0xa5d8090d,
+    0x687136f6, 0x3ef321c9, 0x37ac935e, 0x14cdfaf6, 0x6cdb8680, 0x28f21b20, 0x07945d85, 0x6a988d53,
+    0xc3a681ab, 0x0790bd1b, 0xfcd49ad0, 0x71c6fbe9, 0x136e481a, 0x5826e3d1, 0x56e5c070, 0x70784f0b,
+    0xfa8d3062, 0xfdd5b73b, 0xb6be1828, 0xfbb7d1c4, 0x5a7da2c9, 0x9f590982, 0xe5bdf344, 0x3fcb77df,
+    0x9ec9c926, 0x3f87bacd, 0xaf27a6f7, 0xfde2b868, 0x5dc4aa5b, 0x95a85c8d, 0x93d344f0, 0xf27fa602,
+    0x2eeab8f4, 0xe497f42a, 0x3539d5db, 0x9dcf9ddb, 0x59b46e48, 0xcf20851d, 0xa5986158, 0x1be18d0a,
+    0xd4c37f81, 0x7c5e56e2, 0xd1dba709, 0x6353de7c, 0xdc7225e0, 0x13d5897d, 0xdf6b7cd1, 0xc0ef4c52,
+    0x94a08878, 0x2f995f77, 0x8e3fc977, 0xa3b3bec8, 0x2c4650d1, 0xc1a71f2e, 0x6d6ceb9b, 0xc7aa2905,
+    0x46dd7c5c, 0x0e0c2087, 0x30c6d97d, 0xd69a3a3d, 0xdbe8aed7, 0x3b555e3e, 0x4a524aa7, 0xa6ab00ae,
+    0x8abf6ef8, 0x0c6b438d, 0x13242e57, 0xcf6d87d2, 0x6f18fad9, 0x395f1ff5, 0x7fb79827, 0x3edb57eb,
+    0x846f7f09, 0x12e6ae8f, 0x852707bf, 0xef6868e4, 0x27122631, 0xd202d39e, 0x31516986, 0x1430e550,
+    0x84d787aa, 0x0f0b1c48, 0xeed120fe, 0x84bb99b3, 0x2417e67b, 0x31e13778, 0x548e2e5b, 0x21677342,
+    0x93a55ad3, 0x7d6ec879, 0x391afd18, 0xfc7deb71, 0xe395a2c2, 0xc3997921, 0xf83aba07, 0xa0ee637e,
+    0xa3c489cf, 0xe2c4ab0f, 0xaa6d319b, 0x6ca6b630, 0x7b7c9cf1, 0x6d536872, 0x26967e36, 0xd8bbff8e,
+    0x3a0f523d, 0x9e40d2b7, 0x1433193a, 0xebcd50a2, 0xa101d35f, 0x431d70af, 0xdb937670, 0xa61bd3e4,
+    0xe778c622, 0xeb8d3771, 0x498a2607, 0x4ab5ca73, 0xbe0300b3, 0xa95825a6, 0x122bcce9, 0x06fdc77e,
+    0xaf6083f7, 0x06b166bd, 0x08e2267c, 0x24564c9e, 0x21fd8700, 0xba301daf, 0x6c30cb4c, 0xa7217a96,
+    0x59a5d1e4, 0xccb6156b, 0xf9865af0, 0x3f9321fc, 0xa1ec5cd5, 0x5ca966e1, 0xb3174354, 0xd3046f21,
+    0x103989ff, 0x3cb5ba5a, 0x15d8e297, 0x8e0598d7, 0x9553e09e, 0xfede4b5e, 0xe207b6e3, 0xae21a29f,
+    0xb6276005, 0x954b1368, 0xc8da6484, 0x61f2f951, 0x1de25a33, 0x4dd0386f, 0xd5049308, 0x7e8d7fef,
+    0xa67f7c69, 0xb92fc1e4, 0x1f8ad52e, 0xc59be308, 0xb831e607, 0xf53bb6be, 0x1cc3c783, 0x89c293f9,
+    0xaec3ba8a, 0xde191d1a, 0x26815d72, 0x4a5a062d, 0xaa3228f7, 0xb7f52376, 0x96d6ebb6, 0x1089e3ed,
+    0x40123cfc, 0x15be2190, 0x83e66fc4, 0x7ae366a1, 0x8aebff45, 0x13c79d0e, 0x775cd994, 0x81ccaee6,
+    0x27938aa1, 0x06fbbd61, 0x92178f19, 0x3c68adc5, 0x73fe02d1, 0xf3cfdc41, 0xbb2e551d, 0xb4f3d87e,
+    0xbe860f91, 0x5c96714b, 0x155b5879, 0xc4b456a8, 0x24849fa4, 0xe1149346, 0xb55e31cb, 0xf1a10216,
+    0x7609ec81, 0xd060f924, 0x1a939862, 0xbf997c26, 0xa2fbd124, 0x3384f0d3, 0xfa1ce2a9, 0x104838b9,
+    0xf36a8731, 0x16a0cced, 0x44ea7928, 0xdd08e40f, 0xc12b176a, 0xdd221f80, 0x48dd0154, 0x27c1e855,
+    0x18125677, 0xffaaa846, 0x5526e7d6, 0xfac307d4, 0x8cf56f28, 0x9ebeb337, 0x9cbce047, 0x7b76af38,
+    0x33cc766e, 0x7e944cab, 0x65bc610e, 0xcdaa6455, 0x776fc427, 0x65ba3b25, 0x173b83ae, 0xf37e1bb4,
+    0xa100149a, 0xd133d194, 0xfdfa5d24, 0xd28514b8, 0x1b65e0db, 0xfd7b04e8, 0x071e3dbe, 0x8dcc2037,
+    0x6f483cc5, 0x876b2dac, 0xfcd438e7, 0x632d49d9, 0xb4ffa4f6, 0x72d80de9, 0x44e15c1b, 0xfb6218d4,
+    0xb25783db, 0xfc265b78, 0xbdd48885, 0xe83c7ca8, 0x10b87d28, 0x8f7b7a2f, 0x96a43a57, 0x202160b2,
+    0x1927f132, 0x14b6cb67, 0xc3c98496, 0xd4a48c44, 0x2683bc31, 0x905e5d58, 0xb1c33f5f, 0x23d18750,
+    0xadc45a1b, 0x6413730e, 0x4919529e, 0x29791a85, 0xbdef4da7, 0x149f9a08, 0x842790f1, 0x8c3eecb5,
+    0xee6406f8, 0x04533c30, 0x290e6049, 0xc967f6a6, 0x90bf211a, 0x0a6e9493, 0x932a5ad6, 0x17dcbcec,
+    0x80d85b5d, 0xb5e56717, 0xa70f7576, 0x369169b8, 0xbbb82834, 0x4b76aacb, 0x050d8b0a, 0x86514e4a,
+    0xcf6c59af, 0xce51c2d3, 0x80abcacf, 0x9d2aaf7c, 0x937a0bd2, 0x1d745eca, 0x440fd9f5, 0x025920f7,
+    0x0b5e6e85, 0x532636a2, 0x93c2bf27, 0x3eb09e58, 0x52ccfa76, 0xe91e6a8f, 0xb35dd72d, 0xf37ca792,
+    0x8c7d2d4b, 0xb9491fd0, 0x98568f2b, 0xa22844fe, 0x1e358f16, 0xc623996a, 0x43c21b9c, 0x8147e572,
+    0x7dc7d025, 0xf85f1eb0, 0x01300bcf, 0xbf960344, 0x6e6fbce5, 0x3c120016, 0x1391b1bd, 0xee112a51,
+    0x6ffd6b14, 0x2ff91ee7, 0xfacb7278, 0x7a36dec1, 0x99f668f2, 0x26974bd6, 0x867c9290, 0x78a9d561,
+    0xd2bba88d, 0x0a0ead09, 0x79b2d71a, 0xb4488342, 0x942f80f1, 0xe2e33718, 0x3313d184, 0x68f10b0c,
+    0x2374ed94, 0x860d3d4d, 0xc4238ef5, 0x1184fb7d, 0x7fae46e0, 0x0e880c34, 0x259db8e0, 0x4a3ecf6c,
+    0x9711bb34, 0x23c7cf8a, 0x4792719e, 0x3c0641fa, 0xc3131962, 0xbb812c59, 0xe8896d25, 0x9037156f,
+    0x97a03f1a, 0xb211076a, 0x63ec1411, 0xa6d03951, 0xb1c455a4, 0xc6901105, 0xfd41377b, 0x437ce8df,
+    0x503d436b, 0x6ca1487f, 0x8df7ef4c, 0x9225ec3a, 0x8344f568, 0xefa765dd, 0x243a7685, 0x2b927544,
+    0x33c586ae, 0x21693def, 0x7295836c, 0xc93bc6dc, 0x9ef6ec04, 0x669f8667, 0x553af71a, 0xb507d341,
+    0x7920a219, 0xa175ea04, 0x06731ed1, 0xf711d31a, 0x9b1d5d9e, 0x164d9cd4, 0xfc7d6ee8, 0x5ee3ecd0,
+    0x70836c1d, 0x1af677cd, 0x5be72033, 0x03bb21aa, 0xc2b4ca20, 0xf96f0c31, 0x79ae7c32, 0x1f5e5a20,
+    0xfd276e4a, 0x7d81b16a, 0x446fd054, 0x24ffc670, 0x126e3048, 0xde51647f, 0x341dd2d9, 0xe710ab1a,
+    0x3ca92ff6, 0xb3e8fc8f, 0x083c0a71, 0x1524409b, 0x4968b569, 0x114393bd, 0xc3e7fb4a, 0xf2291380,
+    0xf6f1a0ad, 0x4305691d, 0x3f562d27, 0xe9de7686, 0xe201f7e1, 0x21d69a2c, 0x0fec2ea6, 0x0ba79c14,
+    0x6bb7e300, 0x370d813e, 0x66389283, 0xc4bb25d2, 0x2bd4310a, 0x7ce4ff83, 0xb1a84921, 0xbe652d01,
+    0xda01ce2e, 0x56b12e92, 0xc4b33f96, 0x88937569, 0x48fd73ad, 0x9e7a6d1c, 0xa08180a1, 0x21239c25,
+    0xa357c8dc, 0x201f8da9, 0xcf173c4f, 0xad299c58, 0x47c148c2, 0x968437f8, 0x58747d3c, 0x1bbaa7cd,
+    0x6d85aefe, 0x54f924c0, 0x095a3278, 0xbd1883d4, 0xb40f30a3, 0x7692f5d5, 0x665a16d9, 0xf787850c,
+    0x1b222a05, 0x094a7fdc, 0x33207a1b, 0x0ddd4efb, 0x65e10f90, 0xa8d23d8a, 0xd04b823c, 0x756943eb,
+    0x170a406f, 0x878e5e98, 0x0b440559, 0x3a0ea44a, 0x44021d5c, 0x9a28986d, 0x29d3931b, 0x1cfb9216,
+    0x0c5c3dcb, 0x93fb8068, 0xf2b5323a, 0x5abf4d9a, 0x79e79733, 0xd789f0f9, 0x1d1b90f3, 0x5618b187,
+    0xf001f52e, 0x894bea71, 0x5d95788c, 0xec3523b8, 0xe0fb877e, 0x6c32dd6a, 0x77d35944, 0xfd7341c7,
+    0xa09e1d9c, 0x000d187d, 0xd67a406a, 0x7f68e75c, 0x08c5a68e, 0x5cad0d0a, 0x6aab0c2d, 0xcad320f3,
+    0x00000000,
+    0x24b32692, 0x0900b250, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000005575186299632655785383929568162090376495104 */
+  { 0x00000000,
+    0x6cdbe060, 0x4b283792, 0xa60ae812, 0x7de30ccf, 0x40d12da9, 0xc08c2a0e, 0x3a1c467b, 0xb0fdfdcd,
+    0x3098bb00, 0xcca40c31, 0xf16bc614, 0x338c7ccf, 0xc71bb770, 0x31f579c6, 0xae465fdf, 0x53fa7ffe,
+    0xa056eb42, 0x5ac44abe, 0x95c3a848, 0xebb45daa, 0x49f3bf8f, 0x13114842, 0xcf990978, 0x5adfe3fd,
+    0x612814c8, 0xb06cae02, 0xeef5d2f3, 0x157350bf, 0xeba62e61, 0x167ee106, 0xef58e56b, 0x21eeb237,
+    0xdead215c, 0x14d93acb, 0x1da1f8ac, 0xd9a07eec, 0x3dd65a2f, 0x2e4fee94, 0xd0ae458a, 0x49d25d59,
+    0xed5d287e, 0xf72fd52b, 0x8137b68b, 0xd002654b, 0x4978fa8e, 0xfb4afdb4, 0x4267b1fe, 0x133eea3f,
+    0xebfd3a90, 0x50802210, 0x40ef1bb9, 0xe44c4786, 0xe0284e8c, 0xd65e7b4c, 0x48cd1a47, 0x9f03eb61,
+    0x733c6279, 0x7bbfccba, 0xaa8e474b, 0x9c37e849, 0x0557a43f, 0x1312d2ae, 0x46d68e13, 0xa6aa3477,
+    0xa1129cb8, 0xe8751329, 0x9a447a6d, 0x9b46902d, 0xd0e0c89d, 0x4ebaef93, 0x16ac95c5, 0x2a6c32e6,
+    0x753f0df9, 0x579f6f17, 0x005f74c6, 0xaa72870a, 0xd8b3b16f, 0x060af2cc, 0xfcca4ea2, 0xddfe97b2,
+    0xcda95098, 0x9bd28c25, 0x09fb0c08, 0xc2929f03, 0xb3b0409c, 0xfd4b4d84, 0x9f8c424b, 0x874e2f98,
+    0xeca578f4, 0xa12cecdd, 0x1c4dfc14, 0x83e67a55, 0x9b65f40d, 0x3c498beb, 0x757ecc68, 0xefe3556e,
+    0x87429435, 0xfea87283, 0xefae7d01, 0xda45ebb3, 0x17d60338, 0x500c3666, 0x0ef105dd, 0x89e50bce,
+    0x0ee4cabd, 0x4afb3535, 0x474caf36, 0x4dad46ba, 0x687ae0e3, 0x81c44c8e, 0xa88a6fb9, 0xa565a29a,
+    0xdb68fa95, 0x5c1640fb, 0x51bdea6b, 0xf01b0073, 0x39261a27, 0x8d2a55b7, 0x2e463c9d, 0xe76f0690,
+    0xb2d5b2be, 0xe116cdce, 0x6156cac5, 0xbfe90445, 0x42aac5d8, 0x83c7372a, 0xdf0e68e7, 0x963e9829,
+    0xb68c9b67, 0x309a8ab0, 0xf99e7db6, 0xcc1db563, 0xd6cff430, 0x01ccc02b, 0x321f1e7d, 0x86a67935,
+    0xa39b8ace, 0xd747fa41, 0xc2ff2e14, 0x26f52f1a, 0xf38bdc87, 0x5536f204, 0x1b35048e, 0xa6423051,
+    0x0ed9585e, 0xa01d3d60, 0xdd74344f, 0x63d88184, 0x6d8c4db0, 0x009c04ee, 0xe3eb4af4, 0x980ae2ae,
+    0x00574a0b, 0x0d1cb720, 0x1bac6b96, 0x76f2430e, 0xd34b0450, 0x776d269c, 0x9c0a23f0, 0x6d4ca49f,
+    0x7fafd527, 0x5958b995, 0xa0696e88, 0xf10cce3e, 0x2c05e80f, 0xe197c79e, 0xbdb0bfee, 0x6ff3772e,
+    0x304d80f3, 0xf4f66d0d, 0xfb8e7a8b, 0x5660f43e, 0xe0d3aae4, 0x4dc72696, 0x01464602, 0x02bb8a8f,
+    0x7580a3e8, 0x6269d59d, 0xf433b956, 0xc256b652, 0xc66113da, 0xf3f66dc0, 0x5ec9bc4a, 0xfa6552cc,
+    0x7381da5b, 0x957aaef5, 0x575f5039, 0xed45495f, 0xa6e59a84, 0x21e73d11, 0xac147654, 0xda5c4d8e,
+    0x5f3d374c, 0xaaf906db, 0x2fdf32ba, 0x9ba287ac, 0x1eb718ea, 0xa2ecd14a, 0xd79a29b4, 0x07a0ffd4,
+    0x884f5f1a, 0x6183afd9, 0xe50134b1, 0xdfd2d53d, 0xca648bd5, 0x9596c60e, 0x635f07ae, 0xcd675eab,
+    0xdd671c32, 0x7d6ed9be, 0x57f55354, 0xbc4bc7d8, 0xf25fb71c, 0xccf007de, 0xa2870b8d, 0xab886eec,
+    0x32c89f03, 0x4e557e4c, 0x46fc9a4b, 0x399f5375, 0x80d8b107, 0xd25dec94, 0xa0becd10, 0x662b97f0,
+    0x471502da, 0xe980e2f2, 0xbd8b7f00, 0xfb29c202, 0x942dc55b, 0xb167044b, 0xbb37d252, 0x5b7c1bdb,
+    0xdc650e81, 0x48bcb317, 0x15443efc, 0x4729bb61, 0x40e1f991, 0x0e447ed5, 0x766e99d5, 0xefd3935d,
+    0x8c711f9f, 0x1d2c7276, 0x04fb4dab, 0xcc897405, 0xb6036ed4, 0xaa0664b5, 0x88b99655, 0x4ddaa19f,
+    0x459ba66a, 0x4f403ebf, 0x2177a30f, 0x45c08bbe, 0x97004803, 0x4560776f, 0x939dd1ce, 0xdccdf517,
+    0x50653f7a, 0xfa0ce6d4, 0x125ab2a5, 0x2fd0df10, 0x10b27d39, 0xe46e8572, 0x8228581d, 0xf3f5daf4,
+    0x608bbe14, 0x8fd69fa0, 0x99338869, 0xf5235de0, 0x213f1436, 0xd03e2917, 0x178b751e, 0xb5d3ed77,
+    0xdf3dc85a, 0x00bdcd92, 0xc2236416, 0x9dabff22, 0x2c3dbb7e, 0x6a928981, 0xb0dbbb4c, 0x5b3fd1a5,
+    0xeb093712, 0xbd4cac56, 0xd5b1f481, 0x8ed412a8, 0x59a4fbc8, 0x0f4252b7, 0xad6bdab5, 0x1e30f91e,
+    0xd93643bd, 0xe16c0ba1, 0xfe28d1e0, 0x4345080c, 0x31e03f76, 0x66066bc6, 0x99c7f878, 0xfc760f7a,
+    0x03b59ebe, 0x46de0480, 0x1dc0f055, 0xa4a0eca8, 0xbdc8a1c3, 0x1b9cd5c9, 0x4313c67e, 0x7c92fab9,
+    0x1a6eba82, 0x8a7d4426, 0x8ad1ef65, 0xc24d1bee, 0xe89e3bed, 0xf113efd5, 0x7e822284, 0xc886b32f,
+    0x3185dc8a, 0x1e7542ec, 0xa3728b40, 0x6808af0f, 0x28a5c15d, 0xb1a68d67, 0x58cde134, 0x596b9114,
+    0x3f10bd66, 0xf6685a76, 0xc2c5ee9c, 0xec4144a4, 0x740c241e, 0xb8e3d75d, 0x0649b7c5, 0xba2b7ebd,
+    0x90458bf7, 0x833f6ba3, 0xb43e2290, 0x63e5a769, 0xc9909754, 0xac83d5fe, 0xda6a22d3, 0xe7be9ce0,
+    0x71b85088, 0x33f27021, 0xf812ac22, 0x764bb8fa, 0xf1fa43ab, 0x57917cf1, 0x4f198ba9, 0xbd3045b9,
+    0x64b64a8e, 0x52a8faae, 0x21d67a48, 0xefd282af, 0xbe3cb17a, 0xe1970d5c, 0x241069ba, 0x1699be5b,
+    0x4613f44e, 0x73e0bf9f, 0xe6bc1aaa, 0xa808a2f9, 0xfc2d1193, 0x92617d3d, 0x3423de51, 0xf557305e,
+    0xe0ef8995, 0x20075784, 0xce128bac, 0x4cf5ccdb, 0x13cb2ac6, 0xf6c77b54, 0x59e49871, 0x5ec1cf35,
+    0x72f3e2f6, 0xb05ac2e3, 0x1e4d1d7a, 0x41de9982, 0x44274e06, 0x708edea8, 0xeff7e49a, 0x3d56b7cd,
+    0x9b78ad5b, 0x9e8dcfa0, 0xd2591537, 0xf57c65c9, 0x103f5318, 0xb5675ef4, 0x5578c28f, 0xd67acdf9,
+    0xcc943008, 0xd53e4fbe, 0x38640b5b, 0xb6218a20, 0x360ae65b, 0x408c5b71, 0x6dfc9983, 0x10257ad8,
+    0x8f453d21, 0x6162b76d, 0x9322f974, 0xc0505f99, 0x98b17b3c, 0x001968db, 0x64692933, 0x7cffa1a4,
+    0x450a379d, 0x0716c41d, 0x2fa26e01, 0x2b5e1d85, 0x3722b47e, 0x4c8facb6, 0xa2819157, 0x5c0a32bf,
+    0x029a0fbf, 0xde35326e, 0xe1b1d079, 0x5fa4e0af, 0xca218ca0, 0xeb3b3cd9, 0xd2d7b301, 0xea7edd41,
+    0xdccba010, 0x7159e91b, 0x658558de, 0x38d068b9, 0x98e1e167, 0x1f8d072f, 0x50d3d6e6, 0x21e44cc7,
+    0xea37b82d, 0xf37974ed, 0x0e9b3578, 0x04797fd5, 0x1fbeb3a8, 0x98785a2a, 0x85c19440, 0xda62a548,
+    0x9dcbe90b, 0x9b6026d3, 0xd2d3e53c, 0x379e0351, 0x8fde7597, 0x2ab91714, 0xc9b55818, 0x207f0d6a,
+    0x0d0bed5e, 0xd0c6924d, 0xf972d6d4, 0x80758820, 0xefe202a3, 0x317e2663, 0xb154a6bc, 0x3a51c42f,
+    0xea2fb371, 0x7b175a65, 0x15e98b38, 0xd9282e2d, 0x3ba88a7b, 0xc34265be, 0xf77e7180, 0x69bd8cb9,
+    0xdabd44f1, 0x82c38bbb, 0x42235e69, 0xc137c6fd, 0x0ba7de7b, 0x69b7e99b, 0xccad4e31, 0xe92f4d40,
+    0x63495137, 0x68e82d01, 0xf9028461, 0x76265c7a, 0xde0eb5d9, 0x183fb889, 0xc99fd29b, 0x8e8c9458,
+    0xfc557700, 0x6da639d5, 0xb44d912c, 0x8730c29e, 0x059373ef, 0xe771b419, 0x41654c46, 0x3058f597,
+    0x2b8b6c80, 0x0d3f8156, 0x46608e9e, 0x0362c862, 0xfc727550, 0x6c630e6d, 0x2b15b213, 0x3b1a1c9d,
+    0xdc84f698, 0xb1a30020, 0x7b155bd5, 0xd6968684, 0x86fa569f, 0x2719a5dd, 0x2abfdf71, 0x5ca0ae38,
+    0x28ea6a1f, 0x7f1e1bd6, 0xbca4e95e, 0xcc8db7bb, 0x842aa16b, 0x1de4be31, 0x1e06d575, 0x4e5f0aac,
+    0xd10f1d07, 0xccebfda5, 0xcc83c0da, 0xa0b29f19, 0xa2e6bba8, 0xd365da81, 0x83e49610, 0x3f848871,
+    0xbe5bb505, 0xccb53db5, 0x9a1ad73d, 0x3e009311, 0xd04572d1, 0x957d7ef1, 0x7052fc2e, 0x62bb5830,
+    0x0c9f7531, 0x4977c264, 0x3d080c14, 0x01558d0f, 0x1774f558, 0x59eb8343, 0xcebf2a5a, 0xda1bd77c,
+    0xd65e7c2c, 0x2cd8566a, 0xf5977a60, 0x0d1c4ad6, 0x1504758c, 0x9de061c7, 0x8d11a2cb, 0x841d958c,
+    0x0a7bc365, 0xcaa49815, 0x38efaac8, 0x4fb80e94, 0xb094b329, 0x3f6b6afa, 0x9130e6de, 0x8262700a,
+    0x06b4a144, 0x3dd5848a, 0x51ff3067, 0xd3afc336, 0x906810af, 0xfde7b89c, 0x26314e8b, 0xce5d1180,
+    0x8d226cb0, 0x1e22b21a, 0x9f54a4d6, 0xc922aa24, 0x9fc2417f, 0x78d415c1, 0x69bb4f5a, 0x08183fd9,
+    0xf9109de8, 0x95166f66, 0x0904e95a, 0x3d261222, 0xb117c8b5, 0x8edfec04, 0x1d57a464, 0xa0ace072,
+    0x2284fb6a, 0x61522cc8, 0x454003ee, 0x39c1c798, 0x71cc61e6, 0x56180787, 0x89fd9ae2, 0xd4b73a46,
+    0xec8085b0, 0x58b7d30c, 0xc0f18446, 0xdf079fe6, 0x05d40aaf, 0x1c1d61eb, 0xd03793fe, 0xce2060dc,
+    0x82782485, 0x79d3aca8, 0x5c1e5d4f, 0x5019f04c, 0x4698ea35, 0x9f3bd164, 0x57e980d5, 0x10df8f46,
+    0xca771021, 0x2ab8cd0d, 0x8c8f5c90, 0xd2b45fbd, 0x50b82113, 0x0b345c87, 0xa9726dd1, 0x62f95c71,
+    0xe926f3e9, 0xdb459f64, 0x9144c426, 0x6500d676, 0x708e8ece, 0x1a6b12ed, 0x182e1c06, 0xbfe8ec7f,
+    0x9205f810, 0x32ece9a6, 0x5eb41e40, 0x7b5f65bd, 0x031a976c, 0x9aa21a9b, 0xb445cfc6, 0x989aa9c3,
+    0x318e23db, 0xa73868fe, 0x9dc5ba4a, 0xb825efc4, 0x0ff73613, 0x86353030, 0x11fd0845, 0xf450432f,
+    0x2cc6d8e8, 0x5fe8b7a8, 0xe6706c3f, 0xf53b245f, 0xc2af15f0, 0x1015fde6, 0x451df09f, 0x77156164,
+    0xef2c8370, 0x80841c37, 0x8dd01faf, 0x9a9c7f09, 0xf1a479bf, 0xb284fd93, 0x4846be90, 0xaf85f6d5,
+    0x9db68e36, 0x77196402, 0x1ccd9960, 0x4b5b83aa, 0x907cccea, 0xb4f44ac5, 0x5aa36f2b, 0x9854d91c,
+    0x046a2076, 0xf624062c, 0xca151e82, 0x3cc4ffe4, 0xe64089fb, 0x28b22623, 0x94010007, 0x3256e086,
+    0x1b8677aa, 0x9f5b0a48, 0xba7ec7fd, 0x60716935, 0xe623ea30, 0x652442a1, 0x0228e6e9, 0x94b486d5,
+    0x184f57f6, 0x22302759, 0x1e62a0bf, 0x6a7aa506, 0x6a6bee0c, 0xb46e22f0, 0xc9686aec, 0xec53686d,
+    0x8207be60, 0xe8e3efaa, 0xe9838fc6, 0xeaf249d8, 0xdb404046, 0x2129d703, 0x1453802c, 0x1918816d,
+    0x29c45a3f, 0x8810374f, 0x8ffe4b43, 0x8d119a22, 0xb2f578bd, 0x1ac48def, 0x5e6f5ffa, 0xe90bb23f,
+    0x3fa9fc79, 0x6bf0ecfe, 0x63445bf2, 0xcc52bbcf, 0xd3ab98bd, 0xb49a14a7, 0x27dfc8c7, 0xe486d0a7,
+    0x40723d1a, 0x1929a8f5, 0x589a1cde, 0xd9e23b83, 0xee3e670b, 0x48cf1060, 0x528012cf, 0x8f8059f9,
+    0x34d452fb, 0xcd9a6cbd, 0x0e05785f, 0xcce32587, 0x8269018d, 0x29c2123d, 0xf47d83b9, 0x2695b322,
+    0xc2c0ddd4, 0x6768b732, 0x1b137f9c, 0xfe640521, 0x6d16076e, 0xf4046f3f, 0x639c42a4, 0x8b5055ae,
+    0xbcd12aac, 0x23ecda21, 0x0af4af78, 0xdd8d4ce2, 0x06bda3f0, 0xb3e7fbef, 0x6b6b0597, 0x7a998822,
+    0x876c62ef, 0x7202ce28, 0xde430068, 0xf2bfce08, 0x322c514f, 0xe7f6f47d, 0xb5f7c89a, 0x65c46bc6,
+    0xcfa7f7a3, 0xf7027473, 0x2b27e108, 0x82f56194, 0xf8e0cc1f, 0xfef9ccfb, 0x5402811f, 0xe1dd6488,
+    0x1e6d041a, 0xec49c2b1, 0x48ca533d, 0x29a818d4, 0xafb7156f, 0x9756bc8f, 0xbac2cbd6, 0xb52d5b56,
+    0x35e6e326, 0x25458f83, 0xb3c12afd, 0xb4580441, 0xe3173929, 0x7af1925c, 0xcef1c5ac, 0x10f3c625,
+    0xfaf28f7c, 0x9f3d7372, 0x2bc2bc29, 0xbea4faa7, 0xd277c97d, 0x93fb25ed, 0x087fcc77, 0x9c7fdf36,
+    0x2dc3feb5, 0xa5d7e396, 0xe52ef2cb, 0x1082595d, 0x43070c9d, 0xc7738bc0, 0xf90f6329, 0x029a70df,
+    0x89fca732, 0xe9167190, 0xac562f15, 0x670dff1f, 0xab9129fe, 0x6a5fa048, 0x1c47cd6e, 0x28f1e196,
+    0xbe6dbdc6, 0xed659d7d, 0x97df3742, 0x18545810, 0x844d4cae, 0xd65a161c, 0xa360e618, 0xe62410b3,
+    0x1c52e29d, 0xf578fe2e, 0x40f8b616, 0x4da5c6eb, 0xf3a5bce5, 0x7a378574, 0xa4545daa, 0x136741fb,
+    0xcc81036c, 0x2a367026, 0x3222dba6, 0x7c809020, 0x2e401748, 0x9e94a746, 0x53c08df4, 0x64759479,
+    0xebf6ae6e, 0x0fb54ce3, 0x2f6c05b0, 0x39d2a123, 0x4362138f, 0xe371f8ae, 0x1b0aae5d, 0x22472f4a,
+    0xd2ddc918, 0xa4efe0c5, 0x58418276, 0x59c3a2da, 0xaf6cd446, 0x599e121b, 0xd0fdf85b, 0x8b7ce0ac,
+    0x2387494c, 0xc800f124, 0x9ab5917e, 0x45c41ea8, 0x41041aa2, 0x5e9abb35, 0xf2968754, 0x58777642,
+    0x5cce1efe, 0xc05549a3, 0x1ca5e5f8, 0x86c1a04f, 0xaa5b4be6, 0x70bcc80b, 0x38eb5556, 0x6c691fe0,
+    0x5a1c6619, 0xfa84cd65, 0x5514b4b7, 0x4a552d05, 0xe0713650, 0x5ce89644, 0xf34b261a, 0xbc7e07ed,
+    0x21886e32, 0x91d9d461, 0x505bc546, 0x1b2662f6, 0x7cab868d, 0xa1527709, 0x88dcb80d, 0xff8d7dc4,
+    0x4fb72406, 0xe1454e4a, 0xbdb43ef1, 0x2c025add, 0xbb468411, 0xee3eebe6, 0x4c893f78, 0x7f33f25f,
+    0xbe0b64ec, 0xcb21738b, 0x9d544c0e, 0x3ffbcb6c, 0xe9648bfc, 0xd7b2b0ff, 0xa1c51f83, 0x4d1181ab,
+    0xc40ef6de, 0xb1c1a293, 0x7b145415, 0xee52c5cc, 0xd89e3c33, 0x82d36f09, 0x0b52ecd2, 0xc1e0857f,
+    0xb1ca7eae, 0x336c6dbf, 0x3d54b0e6, 0xf57c9e39, 0x921d5f5c, 0xe366d493, 0x69756b28, 0xa6b6965f,
+    0x4cb2758c, 0xdd5884f4, 0x28cf6465, 0x51c366c0, 0xa22264da, 0xe5f69dc1, 0x27488dc0, 0x7ff846c7,
+    0x24dac948, 0x11940888, 0x690ac4c4, 0x99f7c2f4, 0xeb18b7df, 0x2062e134, 0x00f3f19a, 0xf1bfeb93,
+    0x9c864380, 0x8656466b, 0x5643b5fe, 0x59de67c8, 0x4b479383, 0xe7de9200, 0x43c22a8f, 0x595df807,
+    0xdf86c58e, 0x09ed8bbf, 0x5b5f320c, 0xe956d2c5, 0x6d5a7791, 0x42aa76e8, 0x3a4f9430, 0x51a5f4f0,
+    0x0d5e46b9, 0x311443cb, 0xa5c9509b, 0x151b8b1b, 0xf13d10c2, 0xbef580ab, 0xd6eaddf6, 0x9f5e0f3a,
+    0x25606e4b, 0x9f9a6baf, 0x71d55557, 0xe949064a, 0x584409ed, 0xc7639c4a, 0x705512f7, 0xb70039b6,
+    0x1e079781, 0xeb2dd4fe, 0x58710f4f, 0x7fe5fa5a, 0x5054afb7, 0xe7e8a806, 0x05f1b639, 0x8efe59f9,
+    0xb87366e2, 0x75a42bff, 0xfb37266e, 0x882d8a53, 0xd0b78d4c, 0x165d1639, 0x879af662, 0x34ced933,
+    0xab304174, 0x71bc8dea, 0x4ff23648, 0x12a9099e, 0xa5e0537d, 0x567273b8, 0x754b3ae9, 0x60ee38fc,
+    0xc699ccdf, 0xa77a2dfa, 0xd9ca87d5, 0xfd005ebd, 0x3f0b6c18, 0xa3356c42, 0xdf4ef2f7, 0x038fa73e,
+    0x81a9a66e, 0xf6a269ae, 0x85bb97c2, 0x8c437183, 0x8d6945be, 0x04468ecc, 0x33acc3a1, 0x508caeb3,
+    0x2dd747bf, 0x45a74a47, 0xa1df4938, 0x3cb1f8d9, 0x76ed1894, 0xac1e5502, 0x85fcd180, 0x6d2b7ef2,
+    0xa9bd22f6, 0x4865ed17, 0x2e8c1d93, 0x03e947de, 0x2fddcfc1, 0x5bc83021, 0x6040845f, 0x9b383cbf,
+    0x0af4f340, 0x4ac669dd, 0x9c884a30, 0xdbde98a2, 0x60ec0b99, 0x58ac9ad3, 0xd51b79b1, 0xd8495b81,
+    0x7ec0be7c, 0x3fb8c034, 0x74770f9e, 0x2be6a607, 0x683800ad, 0xd5899fcf, 0x1c1caa3a, 0xe3ddd10f,
+    0x00000000,
+    0x12599348, 0x04805928, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000002787593149816327892691964784081045188247552 */
+  { 0x00000000,
+    0x169e1800, 0xbb7e6b8c, 0x381cdcea, 0x57c0d0e9, 0xc712af83, 0x927c2d74, 0xe1b6630f, 0x86df7505,
+    0x1fa10253, 0x8984a2a5, 0x4fec1506, 0xe0f12a07, 0x97b3dd76, 0x474787a4, 0x803cdc0d, 0xafbd0704,
+    0x55588a9e, 0xc9d9fb8f, 0x3f13ba3f, 0xa2d0cf5e, 0xe4909cb7, 0x38a170fa, 0xafd4434f, 0x985871af,
+    0xedb81c79, 0x254cd542, 0x7401116c, 0x9e3ad811, 0x2b668a1c, 0x3ff5c8ef, 0x2a1692b2, 0xc69a82a3,
+    0x37e9af5a, 0x1ad5d9fa, 0xe51e6e5c, 0x1017c582, 0xb9670c78, 0x8849fa15, 0x9ab8826c, 0x459f33b3,
+    0x0b83ab59, 0x761c1f19, 0x09ae93a5, 0x4a75a69e, 0x42859d40, 0x742e8db4, 0x258d3529, 0xac1410a7,
+    0x8ee87fcc, 0x62bc24df, 0x63cff2bb, 0xba8489a3, 0x27aa4cf3, 0xd1763603, 0x656566a1, 0xe4090e73,
+    0x70cf5831, 0xc15987d9, 0xf37265f4, 0xbeb45190, 0x36bca8d5, 0x87f63063, 0x75d05cfa, 0xd9335569,
+    0x2bb79288, 0xeeb07397, 0xe5d84efc, 0x577937a1, 0x9a3d30aa, 0x123e666c, 0x2c839b0c, 0xb8063320,
+    0x8aa3e1ee, 0x66de44dc, 0x80b031f0, 0xa023e65a, 0xd37d1886, 0x139a5566, 0x5bf861a2, 0xfc044cfe,
+    0x28c7c31d, 0xa37ddef2, 0x12614f85, 0x8f928e6f, 0xa2ea9ae7, 0xf3818f36, 0x9a5e5893, 0x29e615fb,
+    0xc994e46d, 0xe91c2f53, 0xce6ce1ad, 0x83592fd5, 0xfb9234ff, 0x46292f83, 0x7497cf51, 0x995dd029,
+    0x4d2a8d00, 0xbf39b03e, 0x4d4cf491, 0x2128c0d0, 0xccd0b2aa, 0xba17cb48, 0x031c483b, 0x49e57907,
+    0x6ae0dcfb, 0x74ac0459, 0x24c9f11d, 0x57ffe964, 0xadba2522, 0xd7a2d3a6, 0x74feb7b2, 0xfe240ea5,
+    0x950b4f93, 0x5d0fa05b, 0x8d359347, 0x7951d5d3, 0xa954644d, 0x918efaf0, 0x890f59ee, 0x6114ba91,
+    0x391f6224, 0xebdbf8e5, 0xb8cf6c56, 0x2ecf338e, 0x645438b6, 0xced29820, 0x0b1836ad, 0x22b85e3a,
+    0xdaa77200, 0x48299616, 0xf33c6770, 0x7072b495, 0xae94afe0, 0x677b3877, 0xcccf621a, 0x33249144,
+    0x540ade4d, 0x8eea7d02, 0xb84dcab7, 0x922b8977, 0xddba133c, 0x816bca3d, 0x163a9e44, 0xafa22150,
+    0x2b6a7bb4, 0x8bbbd705, 0xf1b5a3aa, 0x490a0223, 0xc2cdb34c, 0x991736e7, 0x13b1107d, 0x87abf408,
+    0x9175cfbb, 0x724d87ed, 0x62ebda50, 0x20ff3fd7, 0x5c8d7b69, 0x4e98e612, 0x7d517a80, 0xac7c8367,
+    0xf2a58860, 0x4bef4d6c, 0x059883e4, 0x2d03dbc8, 0x6d53215b, 0xaab00b14, 0xf3eef16e, 0x9bd0319d,
+    0xb47fe389, 0xbb9ca77f, 0x165eee94, 0x81341385, 0x26ae0094, 0x2347034a, 0x579bd02a, 0x9350bfd2,
+    0x97349e17, 0x1bae97e4, 0xa04bf79e, 0x4b793cca, 0xb0032c04, 0xd42d6d51, 0x83c993ca, 0xb329c918,
+    0x2d6954d1, 0x83126848, 0x57b947c4, 0xafeb978d, 0x61ecf0e5, 0x3e4f8810, 0x793281fa, 0x61805e23,
+    0x617cfd51, 0x1ed609ab, 0xa7ca83fb, 0x566c5616, 0x090522c8, 0x591e331e, 0x45860cec, 0xa4e67073,
+    0xc6a64178, 0x22a23c57, 0x6d77d7c8, 0x42e919ec, 0x75c43ee0, 0x26931a46, 0xce7cc278, 0x1bac34bc,
+    0x3a0922ba, 0x8bf05e2e, 0xd66f3656, 0xf9f01c87, 0xf53e95e0, 0xaf7f2732, 0x5e685a1d, 0x90e802f8,
+    0x99f90a31, 0x39ecbcdf, 0x39af76ec, 0x5bf8a701, 0xeeba17bb, 0x2df36248, 0x4c6e1839, 0xe97b580e,
+    0x9c03d874, 0x6579a8d8, 0x3e3a2fb9, 0x85f8db60, 0xfe4e86e8, 0x1e442017, 0x75eb389f, 0xb43810ee,
+    0xb7dcc443, 0x69de35ba, 0xd543e8e1, 0x733bdb71, 0x04b67ccb, 0x48e190d0, 0x3cbb006b, 0xfaace9f4,
+    0x6213f96b, 0x9bf128b9, 0x33a83651, 0x9149366d, 0x91a0dc12, 0xfba9a2b9, 0xebdc5a6b, 0xe45c768f,
+    0x862f655a, 0x46b6b986, 0x4190dfca, 0xe3bfa646, 0xe9c97774, 0x758b6f2d, 0xddcb5625, 0x748ff6cf,
+    0x59b1e27d, 0x9c75b570, 0xdea79e3b, 0x935c2398, 0x9a6cace5, 0xd3f00b71, 0x81656558, 0xe8d814bc,
+    0x5f85fe0d, 0x89841367, 0x44d09958, 0x8f1f1d63, 0x5deed49e, 0x3e3f30c7, 0x2a29c75a, 0xec6a0d9f,
+    0xc40141da, 0x94d4d096, 0xaaf2ac8c, 0xfe4cee83, 0x54357610, 0xb54fb507, 0x90c2f487, 0x4aea3f3a,
+    0x1988aa10, 0xd44e76c6, 0x21b405b2, 0x35c803a4, 0x3fa11229, 0xf17950ac, 0x3f98e351, 0x1b50fb3f,
+    0x26ccf76b, 0x230d7f58, 0xa5d7ef82, 0xc86cc246, 0xded409c7, 0xe373ca21, 0x9686f780, 0x33837c41,
+    0xea14f97c, 0x86607fe6, 0x92bbb4e9, 0xeb852b7d, 0xfe4865d3, 0xe555addc, 0x74c5cc5a, 0xf086cd75,
+    0xd9ea2964, 0xcebd9105, 0x9c6659e2, 0xb6b1227c, 0xc99a5f57, 0xf88e28f4, 0x689bd41a, 0x85619ebd,
+    0xfa6c78f2, 0x61201f1e, 0x966aea67, 0xe88f568b, 0xe0513085, 0x4d447f74, 0x60b903b0, 0x0935f6a3,
+    0xe82b873f, 0x1cfe1e2e, 0x5b5e5a2a, 0x3f566664, 0xcf5607b8, 0x6ba3fae1, 0x42df54ae, 0xdb4ecadd,
+    0x8a1fc681, 0xe2b525b3, 0xc8bcb9f8, 0xba162541, 0x53e91522, 0xcd34ec7a, 0xa2e50dcf, 0x7d52d991,
+    0x07a72741, 0x7934fdf6, 0xab0839f0, 0x1cadfce2, 0xe78a3be3, 0x315020eb, 0xe6c9c29f, 0x50e81074,
+    0x5a2aec0f, 0xca727940, 0x894dfeff, 0x5b04be9f, 0x7217803c, 0x557f5430, 0xb6ce3815, 0xbb0b48b0,
+    0x034ff158, 0xdf5ddf6b, 0x5114d41d, 0xa4288b1a, 0x79b93016, 0x33d37172, 0xfdbfdd44, 0x59462b51,
+    0x7af95fde, 0x7ec01615, 0x31f6b239, 0x15006d46, 0xee866b59, 0x672f7a89, 0x88af3a1b, 0xfa7eefe6,
+    0x780d1653, 0x3c9b1110, 0x229450f3, 0xde6fff3e, 0xbd013196, 0x3b32f6b9, 0xa92d9782, 0xefe3b071,
+    0x78fae06c, 0x35fb9f30, 0x9a90916a, 0xb2288a87, 0x6ccbad29, 0xae2bec93, 0x4e6ae352, 0xff5178d2,
+    0x6c6186c3, 0x58eee05e, 0xbd5a5473, 0x1911d218, 0x6d1fe773, 0x4d3f3624, 0xb8bd06da, 0x18c152d3,
+    0x9197b22f, 0x62d251bd, 0x763d9b5c, 0xdb7d3de3, 0x33946bed, 0x5d43c1af, 0x32411d3c, 0xd186eabe,
+    0x2befed19, 0x948566f2, 0x67b7bdf0, 0x7ba37f97, 0xcf013027, 0xccda659c, 0x32dbdaec, 0x1c4b62bf,
+    0x991e65d9, 0x3e07dc5f, 0x52e0367d, 0xacaa5f1c, 0x3523745b, 0xde6c53a6, 0xb7f5f033, 0x61935949,
+    0xbb7fd2c9, 0xd1eb0beb, 0xa629b324, 0x661d3e79, 0x7b94f919, 0x575e58c4, 0x73b93e88, 0x0c56d95c,
+    0x40ae1d93, 0xd4b2892b, 0x39ef42af, 0x891d2200, 0x8380cb95, 0xc88f322a, 0xf2bb827d, 0xe9e80893,
+    0xd2ada641, 0x5a317e12, 0x791b6298, 0x5312ac55, 0x454b94ae, 0xecc4843e, 0x8fb4fa1e, 0x91fe61b0,
+    0xdbd67394, 0x5b26de6e, 0x16d470ff, 0x7cd2405d, 0xd5bc12e3, 0xa223a780, 0xe25c36d3, 0x0ffa0879,
+    0xfc275aee, 0x66b3d5d0, 0xcd8cb27f, 0x77cf99ff, 0x661cfe1c, 0x476146cc, 0x3f9eac4e, 0x5731d1be,
+    0x573c754c, 0x533f3c82, 0x6c6bb668, 0x95108e61, 0xa1e958ec, 0xa3e663fa, 0x1c44fb6d, 0xeece8437,
+    0x98ebf34b, 0xdc8977f4, 0x787abcd8, 0x248f68bc, 0x3409b102, 0x6452f627, 0x16501a89, 0x155380d2,
+    0xd0243d4c, 0x9bc0968b, 0xf76a0668, 0x2303fa28, 0x4c5aa6f7, 0x750686ca, 0xa7ed7b31, 0x492d28f9,
+    0x810b23c1, 0x2e8fb3a5, 0x1f05472a, 0x76b77a31, 0xe4aed43e, 0x5bbec4d5, 0x023ebaab, 0x5839a70d,
+    0x2799c698, 0x137c1707, 0x975c28c6, 0xc05591dd, 0x538bf85e, 0xc2ac821c, 0xb8e7d4ec, 0x28d869a6,
+    0xbe382052, 0x86ead812, 0xbcc3949d, 0xb683fb84, 0x5b9ad56d, 0xdf1ecfb2, 0xd0c5fb3b, 0x4d1a30b9,
+    0x5dc6ae25, 0xe9bdb109, 0xdfd0b8b1, 0x6d522561, 0x1bd1d2c9, 0x1433ca53, 0xb5b72928, 0x2db985b2,
+    0xaa6dd98b, 0x1bc5c3c9, 0xac3e6b84, 0x9a311abe, 0x5a737732, 0x73d44476, 0x1d190d79, 0xca1597af,
+    0x3b0a529c, 0xc17704c0, 0x2d55dce6, 0x8be4c6fb, 0x1e6acc56, 0x4f824eab, 0xbeee463c, 0x55b04333,
+    0xa292809b, 0xcdf777a3, 0x14839668, 0x7d88cc16, 0xe5fc23b1, 0x74124255, 0x59df27aa, 0xa9c186b4,
+    0xaac5d33b, 0xe00822f6, 0xd063b236, 0x7f95cf02, 0x1277f3a5, 0xb78055de, 0x129d7bfe, 0x7a611a69,
+    0xdcad4902, 0xda083f4d, 0xd9ad1dab, 0xdae60328, 0xbf1f0796, 0x826d611b, 0x5228af79, 0xf7efd5a6,
+    0x462a101f, 0xd6fc891f, 0x268231c2, 0x261f878f, 0x1e3c4a65, 0x3f92cb5d, 0x6ed3f4e2, 0x72785235,
+    0xdb719a67, 0x02a0b81c, 0xed90c8ff, 0x379d4c91, 0x402a7322, 0x49154182, 0xc8e34857, 0xe9c362be,
+    0x856f7f86, 0x75810a3d, 0x031aa772, 0xafef85b3, 0x89516709, 0x3b8d4f4f, 0x591e95e0, 0x076954eb,
+    0xfd7f76c6, 0xcfa868f7, 0x70f35546, 0x507c4480, 0xc5149c8d, 0x3dbbcba5, 0x731d351e, 0x24c3a847,
+    0xc2887608, 0xebc70fd0, 0x8bd65e81, 0x38e1e26e, 0xd24c6637, 0x858715a7, 0x72fd1a8b, 0x93a8f294,
+    0x2f6fb4d1, 0x1ee35ba4, 0x6626386a, 0xdfa26486, 0xa8996fc6, 0x6cec2a93, 0x26392f17, 0x913af8d5,
+    0x5569d9fd, 0x779a6061, 0x411a4e89, 0xe380ca87, 0xd047f8fa, 0x89799e7d, 0xd6af47ae, 0x12054ea9,
+    0xb10d98c7, 0xacd2c818, 0x39444b64, 0x79fc4cc2, 0xb1ccc40a, 0xe622b6df, 0xedae1336, 0xb89a97b8,
+    0x974f6fee, 0x255c99f5, 0x74595c42, 0xcf9fa501, 0x9c6459a3, 0x9e3b011d, 0xe691f67d, 0x5db41a7e,
+    0xf197431c, 0x70a599ea, 0xe6512a12, 0x5023f08a, 0x260d77a7, 0x156e0315, 0xd171532f, 0x4a3646d5,
+    0xe752322b, 0x19a2434b, 0x25b32c69, 0x8dad01b0, 0xc3a1e1dc, 0x771b89e2, 0xf25a547d, 0x9fa03fa9,
+    0x9133eb13, 0x4ebdca41, 0x471457c5, 0x459f68a1, 0xeec67615, 0x0cc8e422, 0x9508b7c0, 0x4892a91e,
+    0x704f662b, 0x54ef4a1e, 0xd2bbfa81, 0xd01b052d, 0x1609a607, 0x77cb0e12, 0x16562ca4, 0xcf4ebb9e,
+    0x19fad1b6, 0x95d6df9e, 0xef462f58, 0xd89b064a, 0xbe632cb5, 0x0f9d786c, 0x6868c59e, 0x1bc30910,
+    0x19dc2cd6, 0x4c4887b1, 0xa6a83f67, 0xa8cb348e, 0x0872b49d, 0x46cb7671, 0x9926da16, 0x50e8d985,
+    0x2e9fdd6e, 0x9c0a0224, 0xcf38c059, 0xe8566150, 0x3aba304f, 0xec35d9d3, 0xfac512cd, 0xf4dbfe8e,
+    0x27189b88, 0x1dbd21bf, 0x87fa08a7, 0xde718cac, 0xbfc98568, 0x779f832e, 0x67a26a3f, 0x4e722c88,
+    0x3e9b1af0, 0x1069e694, 0x9ca9f7a7, 0x99d1d164, 0x8038a357, 0x226b4858, 0xfcf717b4, 0xb7e01e4b,
+    0x9309eaf9, 0x7e541eaf, 0x46f91388, 0x81c9432f, 0xe214eaec, 0x6af0ff84, 0x2e3ec123, 0xc74620ea,
+    0xbb5f5416, 0x27082887, 0x64b87da9, 0xe65769ac, 0x7cb67759, 0xaf2f2a91, 0xed776c0b, 0xfcea3976,
+    0x4cc91ec1, 0x80e7a897, 0x91a2ca22, 0x764de4b0, 0xcb922506, 0xda9e34a6, 0xe9b7b857, 0x007ea672,
+    0x479c1451, 0xc9bf6b9d, 0x4670b8ec, 0x06e97efe, 0x1fd29b3b, 0x7cc5f686, 0x70cdda52, 0x81e50851,
+    0x9c6ba263, 0x6b17fec0, 0xcade854f, 0x42f715a4, 0x9dd8f99d, 0xd688d7e8, 0x031b6881, 0x74fe50d1,
+    0x3501c5af, 0xef3f908a, 0xdf029734, 0x93029cc0, 0x0bcf90bf, 0x64d77dad, 0x27cabff0, 0x45bfc341,
+    0x2834f2da, 0x32602b98, 0x7a7482cf, 0x445f8f67, 0x22e51eb0, 0xdbd4ae7d, 0x49fbdf1f, 0x2b1f53fb,
+    0x444754f2, 0xbf2279d2, 0x9a0043f7, 0x9d798f31, 0xafd9ac14, 0xd77dc903, 0x8fd1deff, 0x0b755e3e,
+    0x52cdbe07, 0x5fb93c43, 0x153191a0, 0xa2ebe763, 0xfb2fd4ef, 0xee2207ff, 0x1429915b, 0xd6269416,
+    0xeab5d5e6, 0x9ffe807b, 0x02b8bf76, 0x95bb46bc, 0x25e61970, 0x4c012409, 0xb793707e, 0x76c4d434,
+    0x6e32276a, 0xfa691fb2, 0xcfdd21d3, 0x7973b2ec, 0x7789a53e, 0x48a6ed2d, 0x3c1baeb3, 0x100511dd,
+    0x1d8d4c08, 0x79727615, 0x31b94ca5, 0x80e35411, 0xba50a4b1, 0xe6151aa7, 0x1fd7dbb9, 0xe22c0fba,
+    0x0c07606f, 0x7fb2740a, 0x49fb25dc, 0x39f704b6, 0x004e3593, 0xc02faa7d, 0x99062777, 0xbfec5cea,
+    0x4cc0320e, 0xea392f86, 0x4205e96a, 0xb64ec786, 0xdc5202c6, 0x0463f728, 0x5dcf21e3, 0xa4190aa8,
+    0x08159a15, 0x11d69eef, 0x598b4e4a, 0x584a00e5, 0xc9695e8c, 0x47f415f5, 0x50ad45c7, 0x9097732d,
+    0x20d9a1df, 0x416f2d70, 0x08ba3d2c, 0x4b500631, 0xc0917f9a, 0xdd186d31, 0x8a0afb68, 0x31f206e9,
+    0x8ab65b4f, 0x946d8f37, 0xaf0858af, 0xb19e8b4e, 0x4024f5ce, 0xa1b47dbe, 0xb275c1ee, 0x553c5138,
+    0x56a9d2a9, 0x6ff2058d, 0xd730838c, 0x41d04bd9, 0xc2437aee, 0xddeb0a52, 0xd0451641, 0x25831212,
+    0x94af70a0, 0xc39037ed, 0x10b07069, 0x0d4ad47d, 0x7b4f5872, 0x45eb2c14, 0x34d2e130, 0x38372a32,
+    0xbdf0e817, 0xa25210e0, 0x01ff82cd, 0x47113162, 0x23dbab01, 0xd643c43c, 0x4f92390d, 0x67e7469c,
+    0xc440df3d, 0x54d32036, 0xdffba2eb, 0x79fc53ad, 0x2b04a8a6, 0x04b205d8, 0x517faafd, 0xe4c8ce0e,
+    0x286be739, 0x560390ef, 0x9379158d, 0xf4c1a96d, 0x9c270d15, 0xe3205e28, 0x5053c7ef, 0x1e453226,
+    0x0a72a703, 0x329a3223, 0xaaf7ba2d, 0x46e2859f, 0xbc65c11d, 0xe2b61b49, 0x22b7e6a9, 0xb752a2c4,
+    0xdc265d54, 0xb363054c, 0xd40532d3, 0x4641d40c, 0x918a4b05, 0x5d7e4936, 0xb5350762, 0xf3032a91,
+    0x1391d794, 0x6655d6f9, 0x838d9734, 0xea14d279, 0x21a822fd, 0x4217bf07, 0x3186fb8c, 0x89118bf1,
+    0x832a552b, 0x597a04c6, 0x3012a5d5, 0x317d7343, 0x4535e9a1, 0xb24b8676, 0x68fef766, 0x4a39333f,
+    0xed26a4bd, 0xae217fa7, 0xb4baa556, 0x1cbb5adb, 0x50fed542, 0x21926ac0, 0x605b553e, 0xf84fa84f,
+    0x697b75c2, 0x34b1a0ca, 0x474b46cb, 0xa96e2e1b, 0x6705bb6b, 0xf756fd74, 0xce4f2cf2, 0x5e01f7f4,
+    0xeaaa5937, 0xf4efbcb2, 0xa012c45b, 0x351fd48e, 0xaedd013b, 0x14d49fdb, 0x33f22e14, 0xb944addb,
+    0x2e788418, 0x2ae7f96e, 0xf0825e01, 0xeef3c361, 0x4f1f9055, 0xffd5a608, 0x5e651bfe, 0xde0b4161,
+    0xc2745484, 0xfcdf4249, 0x147cd53a, 0xcf75ec3a, 0xffa2b1b4, 0xa8e54752, 0x7c653e6f, 0x4d44dcd5,
+    0xb9fdb502, 0x93679f8b, 0xff99c084, 0x900f2b06, 0x45be02f0, 0xc53b67f1, 0xe14de720, 0x60073dfc,
+    0x584b18cb, 0x85062d2e, 0x3fda7916, 0xc29163e9, 0xd1b9dab3, 0x74c5ec0b, 0x26068f48, 0x2002d769,
+    0xd47480f1, 0xf70c4f6b, 0x81d7f531, 0x2ff65b9e, 0x90745eb9, 0xed7df3fc, 0xa004c25e, 0x9d1804e0,
+    0x7208e99a, 0x7f351b19, 0x35d5130e, 0xf628f585, 0x4752bb7c, 0x4d0e1a33, 0xe5ee39bf, 0xa85d8623,
+    0x1a9364fe, 0x1bc6344f, 0x8581b76b, 0x9cd02030, 0x3e1a0413, 0x3c46a6bc, 0xa9379ba3, 0x326895b7,
+    0xa4ece0ac, 0xf549011c, 0xa362e302, 0xbff13fdc, 0x25df94de, 0xbf92fe3a, 0x00fa785e, 0x81a32e85,
+    0xb1d61a06, 0x795e3ea8, 0x706950dd, 0x67df2004, 0xa2e807f2, 0x1a8a89db, 0x2a29a6f8, 0x76d2830c,
+    0x393df0da, 0xbcfa187f, 0xf16b511f, 0xb741072a, 0xfca0ef94, 0xb7187af5, 0x43a5b1de, 0xf1862158,
+    0x00000000,
+    0x092cc9a3, 0x02402c94, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000001393796574908163946345982392040522594123776 */
+  { 0x00000000,
+    0x7851627a, 0xbf1060ba, 0xb3f3ed41, 0x1fbe3904, 0x4f5c6f20, 0x7ff0c477, 0x64deb87c, 0x0e81d4aa,
+    0x19b8624c, 0x7fd46758, 0xfc816593, 0xa8f55748, 0xf998aa66, 0x5be0cdfa, 0xa0655836, 0x0a657533,
+    0x51c3f502, 0x3016b3ae, 0x71ba1906, 0xa52d67da, 0xcd3c4d44, 0x882850ca, 0x661357bf, 0xd0feed6b,
+    0xb5b83750, 0xfc45b3fa, 0x73dff892, 0xcc5a3f14, 0x12541e52, 0x45932da9, 0xb329607d, 0xf77e7ca8,
+    0x7a418915, 0x239d9147, 0xb3478cae, 0xbe95a2d9, 0x70d63f8f, 0x58457dcd, 0xf6675799, 0x912100eb,
+    0x77b1833f, 0x2e4c31cf, 0x51c06d13, 0x450535d8, 0x37664ab4, 0x91e03d49, 0x7ea00901, 0x3f56a9ba,
+    0x32a0060a, 0x41255983, 0xbef121c1, 0x8e6cadca, 0x49202c94, 0xb6b59fbd, 0xa5993f28, 0xda17ddc9,
+    0x7d955f2c, 0xa362c931, 0xa7e46173, 0x3aa25949, 0x36814c34, 0x469242a1, 0x00d1bd88, 0xca669257,
+    0x3c0f697a, 0x040a4ce5, 0x25f68107, 0xb78e49c6, 0x3d3c36f3, 0x99f2c9ab, 0x8dea7cf2, 0x5a58d754,
+    0xd75f423a, 0x5eb1a5ca, 0x9a30ce2c, 0x602f6dcb, 0x6076997a, 0xa5f538c7, 0xb9f8b3ee, 0xeed89c04,
+    0x6c903c30, 0x3379c8ca, 0xf13bb540, 0x313d48f7, 0xe841ca54, 0xdd5eae60, 0x966a30da, 0x05036fa2,
+    0x8d5d43f2, 0x3c7799d4, 0x720fda19, 0x3ea8e07e, 0x7ddd40a6, 0x49df26b6, 0x3ce3ad8b, 0xba9181e0,
+    0x7eb6a30e, 0x3ca05977, 0xfc73d80e, 0x42c6f9e0, 0xa6b7d522, 0xe77d416b, 0x30bd4a9a, 0x918b315b,
+    0x77cbd851, 0x39fc0756, 0x96b15c90, 0xd73514d7, 0x493bc364, 0x2456470e, 0xd932b1dc, 0x4152594b,
+    0x8a2e0781, 0x3c67fd65, 0x2e962cfd, 0xc4e55bba, 0x37126d20, 0x0660b48e, 0x48e98b8c, 0x189c23b5,
+    0xf31ff134, 0x270618ee, 0x139b71a6, 0x0615e547, 0xefa34365, 0x4549b153, 0x3668105f, 0x8aafdccc,
+    0x2045b1cf, 0xe85b889a, 0xcb401207, 0x04f37bc7, 0xded449c5, 0x434e0653, 0xd5ad2da5, 0xf351178f,
+    0x9e36b098, 0xf40e4bcd, 0x68536410, 0x903e0096, 0x5755c7a0, 0xa393fd67, 0x3b54f375, 0xb9f3952d,
+    0x6db21e51, 0x76cb4ad3, 0xc3100b8b, 0xf2dbcd09, 0x463bee48, 0xffa6e2f0, 0x596af05a, 0x0758c970,
+    0x147afc2b, 0x65766f45, 0xe5932dd3, 0x003c7feb, 0xc0cb4f82, 0xbefe531a, 0x32fb2ed7, 0x694f4e21,
+    0xa589672f, 0xe515e34f, 0x2f9f0dfa, 0xaab9ee2b, 0xa2fcf3d5, 0x4ceda0ee, 0xa0f1c431, 0x0b5d7efd,
+    0x73a77d36, 0x64345ee3, 0xe5f11f34, 0x9e157c15, 0x0550dbdf, 0x77ce2329, 0x7d165ec6, 0xb68c31c9,
+    0x922c8406, 0xbdd3130c, 0x5bf2f1be, 0xe21d2cf6, 0xe7edea40, 0xa090d48b, 0xd424923a, 0xc76cbd1b,
+    0xcdceb819, 0xa0cb4de1, 0xbeb94923, 0x1f2f55c4, 0x58feeaf3, 0x58abf9fe, 0xc30b6aa9, 0xc77786f9,
+    0x363daa10, 0x93bab214, 0x0a4de288, 0xb77b27b4, 0xfab99f30, 0x2136d16a, 0x1b11012c, 0x38509839,
+    0x18395e49, 0xeea107d2, 0xd9f6c5ed, 0x1e16f646, 0xaa91b0f8, 0xab5429be, 0x662a79af, 0xfab5f91f,
+    0xc46f0c76, 0x114c1523, 0xb076ea15, 0x5624e909, 0xf1efe98c, 0xa30fe214, 0xa2db41e6, 0x6c2e3049,
+    0x89a175d9, 0x70e6173d, 0x7fcd462e, 0x54ca6f5b, 0xaaaeecc2, 0x7ad847cf, 0x9664fc06, 0x352e4657,
+    0xac5f6d4c, 0x2b9ed488, 0x0a838680, 0xb43529e7, 0x51ca38e1, 0x2ace69e2, 0x5aa66a67, 0x6a3517cf,
+    0xbfa60533, 0xe87317fc, 0x42659eed, 0xb64a85c1, 0xd8f0273e, 0x7decd54e, 0x7365d9d5, 0x56339e68,
+    0xd621611d, 0x6cd30182, 0xc411df1d, 0x84a3c093, 0xd3e571b5, 0xd6fe95a0, 0xf33deb5b, 0x399b1dc4,
+    0x238f034a, 0xe8fce368, 0x42b34389, 0x250cf274, 0x3cfc037b, 0x42effb5a, 0x498b49b0, 0x05c86333,
+    0x75d96beb, 0xb311c8e4, 0xab4846fb, 0xf91727b2, 0xf55da932, 0x9c10e289, 0xbf01ecf3, 0x91b6a74e,
+    0xb14d5207, 0x6adc0778, 0x859f97c9, 0x7d55a7d5, 0x6a736077, 0x6e1d334f, 0xe2cfa146, 0x6cd4d911,
+    0x0e803756, 0x280fdb26, 0x4110dd94, 0xfd144365, 0xad792fd5, 0x567ab0f2, 0x15e10379, 0x1bddc935,
+    0x1268d271, 0x2ddbff4f, 0xbbe1e381, 0x87cc7def, 0xa0a69334, 0xce4c96f0, 0x7bc56804, 0x78ac78fa,
+    0x39e660e3, 0xbfbc65d0, 0xbbf2a775, 0x51266dea, 0xaa1935e9, 0x75c8318b, 0x69382e3f, 0x696721e3,
+    0xb7b2aff7, 0xd25a0667, 0x5acb32ac, 0x37a5f1bd, 0x7d4b2bf4, 0x68bec285, 0x64d9a095, 0x010b990a,
+    0xb0b66c8a, 0x95beb1d9, 0x96b7ac7e, 0x50942dff, 0x0a164a2c, 0xcc76e5b4, 0x3713e647, 0xc7da077d,
+    0xb00211bb, 0x9e78e918, 0xf14d05f6, 0x732343cb, 0xe428c84e, 0xc3b46e80, 0xe9ea9055, 0x1930ecd1,
+    0x0782d95d, 0xb3bc5ba6, 0x2b5497bb, 0xa000e341, 0x54ef8b44, 0xa5c9115e, 0x5c57f020, 0xc8f3e737,
+    0xe8d0284f, 0x82c63303, 0x364a40e1, 0xdd5f4d9a, 0xcaad82b7, 0xa9cfdcef, 0x774f07f8, 0x89a4bc21,
+    0xae1db6d7, 0x12e957f6, 0xdbd40dea, 0x0f68804b, 0xf1ead502, 0xdf67b9c7, 0x0b741a3e, 0xa3ac5465,
+    0xbd3420f3, 0x49aa3ccd, 0xef397686, 0xb34993e5, 0x403ba0ac, 0xa07b3d7c, 0x88cf7ac5, 0x0cbdf71d,
+    0x51e22c77, 0x0d6294f1, 0xdc879c81, 0xaec812e9, 0x549509da, 0xcf986646, 0xa1a87552, 0xcfcfd30c,
+    0x506f5739, 0xb9d1ab8f, 0x0045ef57, 0xab74388b, 0x55f0d79d, 0xa1bb8423, 0xe8db018d, 0x314e3dcf,
+    0xc5c81b06, 0x150f907c, 0x307c65ee, 0xbc1b8840, 0x5238f247, 0x6c90d029, 0xf73869b9, 0x93a0acdc,
+    0x5bf68669, 0x25453d3b, 0xb6e03c76, 0xe40245cd, 0x86c2892c, 0x173bb678, 0xe957486c, 0xc6c2060d,
+    0xeae681e5, 0x14954fd8, 0x9801258b, 0x5dfd55cd, 0x396db0f7, 0xb38c3a56, 0xbb280956, 0xc488a646,
+    0xdb7648cc, 0xa1889085, 0x61a11997, 0x29b75e1a, 0xe9394249, 0x5e97cf84, 0xf792449a, 0x343f2ae6,
+    0x6138b32f, 0x7e5d5323, 0x6c942b99, 0x817a518a, 0x4a6726d9, 0x1f9a942d, 0x61de5e09, 0x76d011c4,
+    0x4b2ae288, 0x8588335b, 0x2d1b9e82, 0x67176171, 0xf38a1cb4, 0x038cfbff, 0x9c8c2dae, 0xf2bdd50d,
+    0x173153c9, 0x4ffbab78, 0xd02a4025, 0xd1b1c995, 0x1ae722cc, 0x1bad6a82, 0x4c9f0c2c, 0x4f73b45e,
+    0x58abf0ad, 0x9b8b0bf2, 0xc5a2cfca, 0x66d69f3a, 0x974d760f, 0x1944f5b4, 0x4c9b3374, 0xbe08eae8,
+    0x3769a98d, 0x0649c4df, 0xdd7502c9, 0xc4d6c429, 0xf750ca7e, 0xc8116f92, 0xa121ab20, 0xf3bd6db3,
+    0xbd650c34, 0x2ec4fa29, 0xd8c97e50, 0x25f87da7, 0x3ff94ea1, 0x0a33a440, 0x9210bd25, 0x8c120020,
+    0xd1c41b32, 0xd6d4a2e5, 0xb774beb6, 0xbe05a968, 0x5bc1cd04, 0xed0cb95c, 0xc8ce1452, 0x13b9ab38,
+    0xe0dfad74, 0x994cd157, 0x544bbfbb, 0x547069e9, 0xd12ca9be, 0x037de4a8, 0x83a16803, 0x4ca8f08c,
+    0x5f3c172e, 0xf66c25bf, 0x9979283b, 0x6cb37f19, 0x563c7c76, 0x32a6ed8c, 0x4560db56, 0xf85a36b2,
+    0xbaedf2a4, 0x9d319bec, 0xe1b7510c, 0x51506b44, 0xebb943f7, 0xad7a6955, 0x23067bcb, 0xcac47ed2,
+    0xe90b1117, 0xdede6bba, 0x41f5fcc3, 0xd95dd48f, 0x282e97f2, 0x37957e61, 0xdc4424a9, 0x529ee926,
+    0xe7070ef8, 0xef926e11, 0xcf27e136, 0xd5e0f04e, 0x2a66afe0, 0x84895b9a, 0x4d009a9b, 0xd9ec0ad0,
+    0xc6321b8c, 0x03b9bb24, 0x5fc0ef4c, 0xf88d8738, 0x078ec417, 0xe71257a1, 0xd8e4543a, 0x6ea4776f,
+    0x2c81d71a, 0x03e5dd75, 0x280c0a4b, 0xf089f361, 0x701bccea, 0xc19653fe, 0x979b48ca, 0x596ab5e9,
+    0x17c694e4, 0xeefd7c88, 0xd29f2cfa, 0xc823febf, 0xeff550c9, 0xb2a91102, 0x6138e699, 0xf507c6d0,
+    0xb5571ae8, 0x725e8bcd, 0x6cab508a, 0x444491fc, 0x39926038, 0x414418f0, 0x96079c20, 0x66cdcb83,
+    0x9a4170b9, 0x1645aaca, 0xadaebfa8, 0x6a206de4, 0x2c215dcf, 0x9860d507, 0x5c83635c, 0x5410687b,
+    0x4c4899eb, 0x73946007, 0xe9524109, 0xae0ad4d5, 0x5ca22f6f, 0xb4fcd38a, 0xda7c6dde, 0x45140ac6,
+    0x7c8412ac, 0x6e7472cd, 0x365fa87c, 0x2b13561a, 0xab224da4, 0xeb1cab51, 0x5b128c47, 0x179932c5,
+    0xf712c22a, 0xfeac9a41, 0x8624c2bc, 0x168c975e, 0x6725c671, 0x664f94ad, 0xca0a74d1, 0x19c151dd,
+    0xd1119aef, 0xf5364d36, 0x23c6035d, 0x28cec711, 0xea4cdea2, 0x5d028bf4, 0xc4fd1449, 0xfd2538f6,
+    0x9e77fd5d, 0xd94b56ff, 0x71b367ae, 0x447db441, 0xfa9b9a35, 0x1931fc61, 0x66356c10, 0x84628a5a,
+    0x20c1d85a, 0x45ebde8b, 0x8563c3f2, 0x036ecdd8, 0x0a7c9d2d, 0xb4812fa1, 0x553ae3aa, 0xadea9837,
+    0x9036a5dc, 0xf9b30112, 0xe18351ab, 0xa327d4b6, 0x0a94d01f, 0xbaaccd44, 0x41b98c9e, 0x846e2979,
+    0x30518c76, 0x3ff921a9, 0xa61618bf, 0x1d8bfc6f, 0x19460a3b, 0x7b3590eb, 0x07c2fd58, 0x8221b43c,
+    0x271c800f, 0xbc55f01b, 0x3300b07f, 0xfca81049, 0x64637c1c, 0xe4c1c435, 0x48882799, 0xa280a0b0,
+    0x27150c12, 0xa845ef3c, 0xaddaf921, 0xbb6e0a37, 0xd6cc1704, 0x5b2a3153, 0xede55cdb, 0xf2a6f5c0,
+    0x9841587a, 0x58494152, 0x5742dc24, 0x5c1571f2, 0x072f248b, 0xb2a4d850, 0xc387bbd2, 0x1c34d169,
+    0x947ad3b8, 0x0b78c510, 0xf9c845ea, 0x2b1907d6, 0xff068d58, 0x5b8ae854, 0x4f3ac762, 0x2ef98a8e,
+    0x7a7079d9, 0x4fde61b2, 0x0fda25ec, 0xfdf91537, 0x449fc283, 0x1ba2a845, 0x99231e26, 0xf3574eae,
+    0x1d77cbec, 0x72a79740, 0x153ec2c7, 0xc088d3d9, 0x8d1f6ad9, 0x2abb7552, 0x845b08c0, 0x9b761343,
+    0x52a015ff, 0x9ec5ea49, 0xd381fc9d, 0xad4fb549, 0xf08d50d9, 0xb8544bd0, 0x63df5afb, 0xc9f2d375,
+    0x9179f695, 0x0136f8e7, 0xb8dcf2cc, 0xac740110, 0x3553a1b2, 0x30323246, 0x8a10683f, 0x6dff8a43,
+    0xb960125f, 0xbc647270, 0x6a033ae9, 0xcf393a6a, 0xf8d96c69, 0xe8d34fce, 0x5879403e, 0x9e666c2c,
+    0x90eae2ce, 0xcd84c88d, 0x78c40d5a, 0x9607aeaa, 0x86ab4257, 0x9710f01d, 0xc0bca770, 0x14cf7b20,
+    0xef908c82, 0x6bc51028, 0xb996e0dd, 0x078e5d74, 0xdd29827b, 0x6dc1c61e, 0xf352e9fc, 0x71fff71b,
+    0x6d500462, 0x37ea02af, 0xcd2f5dcb, 0x79f3ae83, 0x41248d2c, 0x96ecf0a0, 0xbe98210e, 0xd54e4d79,
+    0x938eeb26, 0x0353b1f0, 0x185802c3, 0x355c2fe4, 0x211846a1, 0x02e29d27, 0xb51d7196, 0xb7a4f8d0,
+    0x6223c600, 0xe4749b37, 0xf369bf34, 0xf1eb5872, 0xf957a617, 0x04ed5293, 0x23cc488b, 0x6d2cfddf,
+    0xade81730, 0xde21b01d, 0xb35efb0e, 0x2a34bc86, 0xbb60f1a9, 0xe032bf66, 0x2f905771, 0xc17a54b0,
+    0x91676494, 0x64673b44, 0xdb0023a4, 0x5d07a7b9, 0x8026134a, 0x447c4bc2, 0xc2f8337a, 0x7ea0a432,
+    0xdc308d97, 0x2c02e2bf, 0xd3155200, 0x07168b35, 0xdbf95314, 0xc7b56088, 0x4d05f9a8, 0x16a6d458,
+    0xc3f8b7c2, 0x698205d9, 0x575563fe, 0xe01ff50e, 0x40949fa3, 0xa12228ea, 0xb5789ac6, 0xf0188fd4,
+    0x1f0587eb, 0xbf30815e, 0x7439b51e, 0xd1cfd1f5, 0xc159fc04, 0x4f1de0a2, 0xf40b5edc, 0x1802da5a,
+    0x5771b02a, 0x45a73604, 0x5ba7ebba, 0xd8f34d69, 0x66d76ca4, 0x40480d7e, 0xac60348a, 0xde0dc529,
+    0x81ac6a6a, 0xac3ad7e9, 0x7d9e5673, 0x1ae5875b, 0x71a3318e, 0x71607530, 0xb0a2d632, 0x1ca75067,
+    0xa2c9a424, 0x72636acd, 0x273eb109, 0x6fdb39da, 0x2a34a448, 0x109a4c1d, 0xdab98b1f, 0xbeaa481b,
+    0x7e496f16, 0x637d3a9a, 0x3e5df3f8, 0x2d51a153, 0x08cda377, 0x7e74ad32, 0x278d240f, 0x5e5a5fee,
+    0x503a6ff5, 0xf2102170, 0x9fd24fdf, 0x9fb66a2d, 0x4de7655c, 0x88bf9406, 0x07e9b0e1, 0x8708c73e,
+    0x9ee2f1aa, 0x3e453651, 0x4705bfa8, 0x968edbae, 0xd0016508, 0xec4fdaa7, 0x1a86eb68, 0x321f1d44,
+    0x623d7d59, 0xb8acf647, 0x488cdad0, 0xc27f86a6, 0x471b0501, 0x40e2fbb8, 0x1ed770f4, 0x27cabdc2,
+    0x14efc9f2, 0x8692e3d8, 0xca49849e, 0xf8af9edf, 0xb143653b, 0x38040907, 0x10a62566, 0x7920c71a,
+    0x4057bc91, 0xae94fd59, 0xda1f0663, 0x81498bcc, 0x2703fd90, 0xc83a7590, 0x69247b39, 0x25d6502b,
+    0x71804286, 0x14f69d1d, 0xeb658197, 0x5ed4a364, 0xd77e93d2, 0x025bf176, 0x6ea4c4f7, 0xef657fd2,
+    0xca686596, 0x9be964a4, 0x22170ebe, 0x3fc1f29c, 0xa95be0e8, 0x23264513, 0x3a71d16c, 0xb0a1f6c7,
+    0xd6389d5b, 0x04b40475, 0xbadef943, 0x891e8caa, 0x72fdad1d, 0x0925ac83, 0x0099d5ba, 0xad9cb4b6,
+    0x3b87a655, 0x40371912, 0x8d8a3e61, 0x2ea73ce8, 0x6c5aeee3, 0xdb619b17, 0x14936d66, 0x731e0d6a,
+    0x6df44e2e, 0x7d4f0056, 0x55dd6603, 0x4f3b7146, 0x43c03db9, 0xa02ff808, 0x1be62983, 0x35403129,
+    0x96faf4be, 0x27bdc308, 0xd6755c18, 0x44fbfb29, 0xa51f96a0, 0x581c77ee, 0x496d6eca, 0xc6d0abb6,
+    0x1cc0e0ec, 0x33d991f7, 0x26708a0c, 0xacd79928, 0xfcdd2e72, 0x69315d60, 0x84413ecd, 0x47bf90d4,
+    0x05c2618f, 0x78924136, 0x747db723, 0x3a6d99a5, 0x6d4e9eb7, 0xa631164a, 0xe38d7050, 0xa638b7a6,
+    0x8396ae5b, 0x55fa19e9, 0x6867dfd7, 0xe605752b, 0xcbd61511, 0x25abfc97, 0x79cece76, 0x4e174fc6,
+    0x9544ee5b, 0xf256230b, 0x95ae2654, 0xae5adb3f, 0x65c4bdf4, 0x369261d3, 0x28728201, 0xb65ff3bd,
+    0x9bec6390, 0xac5a48cf, 0x5c845621, 0x3aafcbdc, 0xd2c85a7e, 0x0e9e429e, 0xfdeb9e99, 0xe62080ed,
+    0x38d960b4, 0xee16ade2, 0x9c48aa77, 0x2991f129, 0x5ef385a1, 0x74aacd0c, 0xfa85ccab, 0xb8ee45a2,
+    0xed7b6e46, 0x09996db5, 0x0b78b097, 0xc1acf900, 0x1f34f505, 0xac234789, 0x28eaac2f, 0xc1a5c2b6,
+    0x1038a51a, 0x15ca728d, 0x4306000d, 0x1fe6c7d9, 0xb4e43993, 0xee604c2a, 0x43134a4d, 0x7d117ad9,
+    0x54e5769e, 0xe84f4b14, 0xeeebc3b8, 0xba465417, 0xf2a4987d, 0x412fbdf3, 0x3efb35e8, 0x037fabb7,
+    0x653fbfae, 0xe2c2b4d3, 0xad045379, 0x5058abf6, 0xa67d6d62, 0xe9d51bfd, 0xbadf26bb, 0x31e98fab,
+    0xe650cab6, 0x766a735e, 0x52bf461e, 0x13e8f687, 0xcc73ff3d, 0x329d26fe, 0x32a4baf6, 0x1b1fc247,
+    0x8051ad0f, 0x238ceee2, 0x3e3ebaad, 0x68ab8b1c, 0xa4a9dd54, 0xbfa4cf22, 0x561ed13c, 0x433a68ec,
+    0xafb933de, 0x4e1473b1, 0x8c610fa5, 0xac0fdbee, 0x12c09b44, 0xf481c41e, 0x13007813, 0x26fe40e2,
+    0xb05bdc39, 0xef335305, 0x88adef71, 0x34176372, 0x631141ec, 0xdd66e878, 0xfc500a4b, 0xb140249b,
+    0x1bafe335, 0xcce02488, 0x4f67474c, 0x1e6dda4e, 0x75fb3a30, 0xa7fb1431, 0x3d98074e, 0x1e1a256a,
+    0x270ce9fb, 0xcdc77282, 0x62e69f2e, 0x238b0bac, 0x04d36098, 0x72ec6c0f, 0x2a3e3c6d, 0x6b79dab1,
+    0x0ecb7bd7, 0x5bb6f9b1, 0x0a0595d3, 0xf0b7f184, 0x22576a8e, 0xe1c6a363, 0x1a467b1a, 0xafd3a973,
+    0x00000000,
+    0x049664d1, 0x8120164a, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000696898287454081973172991196020261297061888 */
+  { 0x00000000,
+    0x1bdb2114, 0x7efb341a, 0x4bb27811, 0x7816684a, 0x6fdd002a, 0x3ac81e69, 0x433ea20a, 0x0a4049d7,
+    0x75a340b1, 0x6eda086b, 0x30875688, 0x5bb53e82, 0x9a8a0f3a, 0xf46d6f2d, 0xdc895005, 0x38bb86fc,
+    0x05bf364c, 0x4eeaf2bb, 0xabe126a2, 0x4651625a, 0x463b656b, 0x96b70cf1, 0xe8b13d51, 0xe809a5fa,
+    0xbad61cdb, 0x579db5dd, 0x0f94ff5c, 0x0d7f906e, 0x9969738e, 0x0864fd33, 0xd353c3e8, 0xc95bd727,
+    0xae0d019b, 0xb324cbd2, 0x3658cbce, 0x2126a4f0, 0xeba76691, 0x2f457aa0, 0xb59b727d, 0x64dfab95,
+    0x6cfa437c, 0xbef9d0a5, 0x42443981, 0x9e4c5961, 0x1d2c59cf, 0xbe2fa87a, 0x54069de5, 0x7081d37e,
+    0x455f5c04, 0xcf9df264, 0x40d4cbf2, 0xe923b69a, 0xc6149607, 0x127a94cb, 0x3eb8d3a9, 0xc655f2c4,
+    0x767933cb, 0x4015a906, 0x7ad64d48, 0xa3c37598, 0x53212feb, 0xd753fe60, 0x87696302, 0xaaa2e1cb,
+    0x5196eab0, 0xe509585d, 0xa8846ee9, 0x5cf76f7d, 0x9dec4848, 0x4ce721b6, 0xfb901678, 0xc519b380,
+    0x3e7afc32, 0x7a6adca7, 0x780ee1bf, 0x5df24286, 0xab86468c, 0xd699e01f, 0xf617e25d, 0x4cba9857,
+    0x5198491a, 0x10c021c8, 0x31ea7489, 0x570edc15, 0xba390318, 0xddcc913e, 0xfe0a538f, 0x6938a949,
+    0x6d7059c0, 0xd9b66d47, 0x6cfccffb, 0x618a2353, 0xc55ee08a, 0xa28c2a27, 0x1c08249d, 0xd60d55c5,
+    0xfa95c958, 0x452019dd, 0xd34a1479, 0x7e8e4353, 0x3088f665, 0xa32a59b2, 0x60de1ba5, 0x1d4d2351,
+    0xb8bf5c9e, 0xbc3ba87f, 0x34568cd3, 0x7c22e892, 0x72a61b19, 0x5116f517, 0xae50ed21, 0xe965f8cc,
+    0x9e6bacac, 0x8982f63f, 0xa21bd82c, 0xfecf4b16, 0x66073134, 0x5e42c011, 0x7c9d71d3, 0x115c2d42,
+    0x1a5dd62f, 0x271f3d17, 0x2bc3ec80, 0xfffe9478, 0xa56a6324, 0x46cfaad7, 0x547cb92d, 0x7643a4da,
+    0xdcf12e06, 0xb3a4fbd9, 0x7255d0c0, 0x37601c75, 0xa06b9c52, 0x0c88fd87, 0x231aca27, 0x5575136b,
+    0xcf394d57, 0x3c53e43b, 0xd5828bcb, 0xec90240a, 0x983c70f3, 0xa9a5a0bc, 0xb869dacd, 0xd8aac853,
+    0xd955ff8e, 0x2ded2817, 0x56087a2c, 0xfe781548, 0xa06e2e28, 0x1cbdc7c8, 0x101812be, 0x9a845681,
+    0x474aec1b, 0xac34e701, 0x684f5986, 0x16c4dfad, 0x9b07c66b, 0xe0462392, 0x6cd192a3, 0x06cc48b6,
+    0x47adb65a, 0x5d498bc8, 0x20970413, 0xd62d4589, 0x01b95120, 0xfbca10fe, 0x25b629a2, 0x39ff86a2,
+    0x6963aab6, 0xb60afb96, 0xe97e2e53, 0xdf4b2ce7, 0x37363191, 0x02b50cb0, 0x447371cb, 0x63bc9d41,
+    0xdbe04937, 0x62161877, 0x8397c5cc, 0xe3febaa3, 0xc3a23ac6, 0x038699c9, 0x4b0174bc, 0x1f0df14d,
+    0x5615b3bb, 0x9f9ac2ab, 0x3c61e40b, 0x14f08c5b, 0x061966c3, 0xcdb18a77, 0xa95b93b3, 0x0009ceda,
+    0x39f481f1, 0x259b519e, 0x81ae5a60, 0xd6ac9f80, 0xbd3199c4, 0x3b8f6be9, 0xd43d9f82, 0x4a8b57c0,
+    0xfdeeacae, 0x41cb34dc, 0xbc409312, 0xde8ba3c0, 0x2233b07c, 0xbb7369c3, 0xe435a311, 0x1e193d64,
+    0x5125847a, 0x77dc6225, 0xaf3e487b, 0xdff4a898, 0xcb3ecc23, 0x5e1d410e, 0xf757019b, 0x503af4b9,
+    0x14de84dc, 0xeb4c0c65, 0x3ac6d7a1, 0x422ddfe1, 0x84e2a32b, 0x151db955, 0xcb2355a9, 0x36e913f4,
+    0xa880029c, 0xc2978f22, 0xdfdd0254, 0xaae1d7ab, 0x372562f4, 0x5520e017, 0x0d02304f, 0x815b2c97,
+    0x8dc34022, 0xb25a6fe1, 0xf1c9143b, 0xe6dddffb, 0xf4a3b22b, 0x4c297d64, 0xaac73b0e, 0xea3a13c3,
+    0x74c01f68, 0x8e0d3838, 0xf783bdc9, 0x7777dd4d, 0xfd3e2db3, 0x5f448b41, 0xa07987ce, 0x52b21a90,
+    0xce19d30c, 0xc68320be, 0xb88cb88e, 0xec0856d5, 0xee6dc3f6, 0x7d32dbb2, 0x92954d0a, 0x698de014,
+    0x8e42d5ae, 0xa9777577, 0x5217fd55, 0x4ce08ded, 0xddb82203, 0x4cc0cad0, 0xc3c4e357, 0xce6ab18d,
+    0xe1ec75b5, 0x33e46623, 0xd2106666, 0x9fe727e2, 0x66d69408, 0x8f697fea, 0xbdeb1224, 0xab3447ed,
+    0x5a9745b8, 0xbfd17107, 0x11d044c9, 0x340488c9, 0x830d90c2, 0x091c8c07, 0x5b997b18, 0x8f54ee83,
+    0x5d525c6f, 0x20fb3102, 0x6deecb64, 0xaccce9fe, 0x6f26dd30, 0x45128df3, 0xa4e1e5b3, 0x9a2bb7c0,
+    0xec80fdfb, 0xaba65e89, 0x1740e405, 0x955cf539, 0x112cfe53, 0x42d4cbd1, 0xf33eebca, 0xba3dfe05,
+    0x3aed1223, 0x43be75f6, 0x46b7a33b, 0x92c30820, 0x8f04255b, 0xd651bc8d, 0x1c79a8a7, 0x3ae3c2c9,
+    0xd76f4573, 0x4e677338, 0xff861ff6, 0xdeca3243, 0x4164d360, 0x1801ae31, 0xc0c411b2, 0x9ed5454e,
+    0xb72353f7, 0x53173530, 0x11b46529, 0x5961ac8f, 0xed5e2495, 0x0916cd5d, 0x492b35f3, 0x5dec1a1c,
+    0x2e4d3bf3, 0x29f663c1, 0x49dec3cf, 0xbd1fb7ac, 0x10450efe, 0x7c556127, 0xc60cdc8b, 0xdfbf104c,
+    0xd8cf9695, 0x40f779bd, 0x4f374c72, 0xe448123c, 0x268543ff, 0x8e8dd7bc, 0xed2d15ac, 0x4a60a8ad,
+    0x06c72f32, 0xf1184ea2, 0x135dc9fb, 0x6507d3fe, 0x6a27eedf, 0xad808a08, 0x65fad5ad, 0x4793824e,
+    0xd83ecb75, 0x9df7d4d9, 0x83947a2a, 0x8d98cbfd, 0x16875158, 0x78253683, 0x8af19ffc, 0x0b175bce,
+    0x651b41be, 0x66587ab3, 0x7bb2274f, 0x4452c19b, 0x5c95ff54, 0xf4b1c544, 0xac903f37, 0xa901743c,
+    0x6054967a, 0x24197446, 0x68a56435, 0xbb1992ca, 0x8d714dfb, 0xe6368d1e, 0x833a7ea8, 0x85e6d248,
+    0x7481d464, 0x67ad88e9, 0xf144f1d1, 0x8e53df35, 0x417c8aca, 0xf764cd93, 0xa7631b15, 0x27f8454f,
+    0xf4084eca, 0xc441f601, 0x17127b35, 0x3dd655fd, 0xcd8ab57f, 0xb6e0f02a, 0x7bdd0555, 0x6044026c,
+    0xa18885c2, 0xbfe56b4e, 0x0af1ab78, 0xbeaf4a70, 0x47c1eb4a, 0xccaa3ab8, 0x4225f8c6, 0xdeb2b39e,
+    0x21deb428, 0xf1d71d49, 0x66e5ea4e, 0x316d5464, 0xd3495e33, 0x007f314c, 0x3720a71a, 0x1344d7f4,
+    0x76ed1e09, 0x45ce3759, 0x44e60326, 0x04cda95e, 0x608d86b7, 0x4e721b52, 0x34386b8c, 0xc05bf2fa,
+    0xf05f64cb, 0xb0c34faf, 0x022119ca, 0x302d8f2f, 0x304f9ed0, 0x7d8d671a, 0xb27c8885, 0x0700e11e,
+    0x4724a2d8, 0x8e7f6a4f, 0xe4bbb919, 0xbb0fcd6f, 0x7a5eb02f, 0xf093bfc2, 0x1d1c1f7d, 0xf1000fdb,
+    0xcaf729b0, 0x7c9d145b, 0xc1b394fb, 0x2cc7e838, 0x83ed085e, 0x93b5d659, 0xa5455a3e, 0x2051fe5f,
+    0x713d5065, 0x9773b6e8, 0x948d632b, 0x3bac5c45, 0x38c92e57, 0x814538a9, 0x29042fc1, 0x1a07a9d6,
+    0x1827aed3, 0x9bbc18f4, 0x7cffffb9, 0x6ae44838, 0x52f74a8c, 0x09c67d03, 0x8a935a6b, 0x9f20a91b,
+    0x1712ec5b, 0x519598dc, 0x24f5fd67, 0xb6e7c6eb, 0x40cf6ba2, 0xe836f267, 0x1c4ea947, 0xbd54122c,
+    0xcc0f39fe, 0x91e2393e, 0x5469c1b8, 0xd5c29d00, 0x6a3ab359, 0x61bf21ee, 0xc052459b, 0x95a9c7d2,
+    0x0f20bd4b, 0xd5851403, 0x0abf0e3b, 0x32bfc2d8, 0xae92080c, 0xb3c3cb1c, 0xaac6835a, 0xcd14663b,
+    0x167cdc52, 0xfa468df8, 0xfbdb22f0, 0xe37fbdef, 0xb54802da, 0x190bdff2, 0x6f5e3d5d, 0x2ff3e21e,
+    0x1d7e0b5a, 0xe7a5ae17, 0xde3a627d, 0x1c0b179f, 0x7c87f00e, 0x565ca47e, 0x7065dd0d, 0x9aa0ebea,
+    0x64796a73, 0x21632284, 0x646c59b1, 0xd68be0d9, 0x7c261170, 0x85e6188a, 0x7d9b2a71, 0xafb3e55a,
+    0xcdb6a725, 0x1a75aae9, 0x1a93b573, 0x696db49a, 0x24342663, 0xac1becdc, 0xfc853850, 0x1a723b35,
+    0xe5db9e80, 0xa171f65d, 0xb5408be1, 0x2818c448, 0x3c872696, 0x48c6d13b, 0x60d2f57a, 0x789ad524,
+    0x0a15d548, 0x31eb21df, 0x5e61578f, 0xabd9685c, 0xbf458b1a, 0x433e023e, 0x778e54c6, 0x6c5d27d8,
+    0xab41a5f0, 0x24bd5430, 0xc9e996ad, 0x13f1e166, 0x607c2bb3, 0x4ddf340c, 0x226f1679, 0x4dcc72c2,
+    0xb22084d5, 0x6200989f, 0xcf9edd44, 0x14a6ab2d, 0x0bb98b00, 0xc2463a05, 0xa5df6d26, 0xfb18a6f8,
+    0xf7521dc1, 0xb586f114, 0x85ccb990, 0x13826e10, 0xb8c8f5a4, 0x92d4d34a, 0xe3a025ed, 0x0d171cc2,
+    0x4d9eb3b3, 0x651c16b5, 0xf97d3010, 0xaed73a90, 0xd9dd32cb, 0xf6c28b42, 0xdaa377d1, 0x14d68235,
+    0x85b32ce6, 0x5322a862, 0xa074b21e, 0xea99d6f1, 0x9790a0e0, 0x71d117dd, 0x2e1ca711, 0x63247455,
+    0xe2976d9f, 0x083312f1, 0x928839cc, 0xb73f228d, 0x7128be13, 0x5b8fd604, 0x545d48a4, 0xafcc4c42,
+    0x3770ebcf, 0x7d991ed4, 0xe9771b8e, 0xf1d0a522, 0x14f933bc, 0x28e83bf7, 0x04333db5, 0x7f790c3d,
+    0x1d5f16f4, 0xd203d520, 0x65a31b27, 0x6e046222, 0x42d30303, 0xd36e7c4f, 0x78eb7768, 0x50e88e14,
+    0x6fff3507, 0x95e6dc58, 0x3e56330d, 0x230113fb, 0x8244badf, 0xf8b7f06e, 0x3d142da0, 0x3d574f3c,
+    0x85705ef5, 0x3cd0f4a9, 0x84bbe1df, 0x050760e7, 0x05db3600, 0x93a566f5, 0x01f755eb, 0x57044d12,
+    0x2972ff46, 0xe94c5550, 0xfe41fc75, 0xc8db1508, 0xff60645f, 0x837ff230, 0xe2576869, 0xce6a58a7,
+    0xd23ba38c, 0x9d1242d2, 0x91168a51, 0x01ef1aa2, 0x93a44457, 0xd204527c, 0x052dfd58, 0x14e44b9b,
+    0xb7d46aae, 0x048eccf3, 0x68816130, 0xa367b115, 0x0e019112, 0x95d17abd, 0xc371e08e, 0x82bd4af7,
+    0xc3919878, 0xc3897c6a, 0x7e19c08a, 0x0784e62f, 0xefb86523, 0x65284df7, 0xd478a8d6, 0x05c49822,
+    0x4a4491b7, 0x52200e64, 0x3d67a907, 0xfe9267cd, 0xbedafad3, 0xc565adc2, 0x62d6a679, 0xa8483355,
+    0x45081a68, 0x45bc5bac, 0x1fdcbebd, 0x1be9c45f, 0xa0415f61, 0x59012242, 0x999c1359, 0x640b9d43,
+    0x22146bda, 0x403ce348, 0xc0429b11, 0x28b1d74b, 0x1773781d, 0xaa3070ce, 0xe6c0def0, 0x4187d8fa,
+    0xf4b3cc15, 0x447bd135, 0x3dad31a6, 0x6f908d37, 0xaf80e949, 0x5b9a60f5, 0x23cb111c, 0x3a3c3d44,
+    0xa5303d27, 0x20907aba, 0xd2ef8cd0, 0x3aca4cef, 0x20ebf999, 0xd85b731d, 0x451b7714, 0x1a1ee286,
+    0x5524e783, 0xe17005e9, 0xf233a709, 0x5573ce1c, 0x5cd114d7, 0x2751e182, 0xe151965d, 0xc1379618,
+    0x08ab73a4, 0x9d3fc472, 0x527cd6f7, 0x298b8bee, 0x941ffc8b, 0x1efd29fd, 0x82cc495d, 0x4bbebe70,
+    0x4ef9df33, 0x6df463db, 0xd99ce87c, 0x78d52c6f, 0xffe02f3f, 0x2fc9fb5a, 0x5c55f45b, 0x0449ee25,
+    0xb0c7da51, 0xebddb14e, 0xa243c33d, 0xacb3b8dc, 0xda10d0f7, 0x24d678b4, 0x911ff898, 0x011e0f56,
+    0x062cd827, 0xb31fbb87, 0x08a2a5db, 0x161322b5, 0xeeda04bd, 0x1f60dac9, 0x905f7344, 0x64893d6e,
+    0xaebdc3fe, 0x1301ad2d, 0xce485021, 0x7b5abbf4, 0xbbf1ea17, 0x26c7024c, 0x18c8db3a, 0x758d3106,
+    0x893dbd02, 0xa345a845, 0xad606a55, 0x4304becf, 0xe256fba8, 0x3fdad46d, 0x84bcec89, 0x49119a3e,
+    0xd1067594, 0x0fb27c13, 0xf5b23ce9, 0x099b73d2, 0xf1e1ecf7, 0x81f59e8a, 0x01895803, 0x717887cf,
+    0xe4be2ad2, 0x3ba1c9c3, 0x6ada3139, 0xe4922236, 0xb3c2e447, 0x07c39290, 0xcf206d0f, 0x9e3401b4,
+    0x169d57ab, 0xca0aaffe, 0x4a0d4d06, 0xef8692a3, 0x668e1bf1, 0x6acee6c5, 0x648255ca, 0xa722580b,
+    0xeed78f86, 0x92645381, 0x26540449, 0x75626d94, 0xb35579ee, 0xac032c7d, 0x9872751e, 0xf7fa3ffb,
+    0xf293e76e, 0xe675982b, 0xccc8c793, 0x69bf79fd, 0x61808c46, 0x98ca5ec2, 0xfc578a53, 0xd3a6d655,
+    0xaa935f11, 0x62bf0784, 0xc42a0c53, 0x93d34552, 0xeb114236, 0x510ae8ef, 0x1dfde754, 0x8b0dd2b0,
+    0xe77b62e4, 0x4b2f242f, 0x90521482, 0x609fdc39, 0x331deb1a, 0xe8e85a3a, 0x9c3a3e62, 0x891d8762,
+    0x221ffc52, 0x0a81b2c5, 0xe6832190, 0xa2d4f929, 0xd4db20e6, 0x68342048, 0x01e2b081, 0x49b60e24,
+    0x7bcfeabd, 0x63e70753, 0x01abb008, 0xf26dbdc1, 0xb5f77f82, 0xbb8e332f, 0xecb735a7, 0x2745e120,
+    0xa102392b, 0x6baac320, 0xe975e8c2, 0x6652b4a1, 0x7ea780dc, 0x0fd5658a, 0x8b6b5a47, 0xd119f0d4,
+    0xc03cbad7, 0x5de8f8c9, 0x45d3c346, 0x9bd5695f, 0x9d7e68da, 0xe07c1352, 0x55cd89e5, 0x681a6aeb,
+    0x8960fe5e, 0x763f7d88, 0x9a9c1ac9, 0x9548247c, 0x159eef24, 0xc92d809c, 0x443f639d, 0xd45afd17,
+    0xf266ab79, 0x43e68dcb, 0x0327cfd4, 0x5422201d, 0xb420e967, 0xc85edff1, 0x156c9e3f, 0xa626f595,
+    0x5cb4c495, 0x58cdd52c, 0xa11edb7e, 0x7b1ecbff, 0x52ccf500, 0x8395e9d4, 0x9f278b97, 0x105ffa63,
+    0x26359df9, 0x5acdd1e2, 0xeda52b24, 0x7a18682f, 0x592c1c24, 0xc4f67f24, 0xe4a9fe95, 0x76f86b95,
+    0x92a1c530, 0x50d21664, 0x739ce8fe, 0xeb99d02f, 0x04e9220b, 0xf56147cb, 0xc17a5591, 0x52ea446e,
+    0x0c433ddc, 0x1ff5de72, 0x5fd417d5, 0xb71447e5, 0x6e10e870, 0xcf5998b2, 0xb15534b7, 0x4a7afdf6,
+    0x606c3533, 0x1ec046ec, 0x272ef07a, 0xe9b40b10, 0x29f5a34c, 0xfe2bf934, 0xab7acaf0, 0x9e82bf86,
+    0xe1ea8e64, 0xc7eac418, 0xa8a471f0, 0xca0a26ae, 0x66f4523f, 0x72835c00, 0xc4e08a70, 0x63b9ac6f,
+    0xc6cc8ef5, 0xaade6b72, 0x67354f6a, 0xb28d31b8, 0xb6115a09, 0xdf54272c, 0x4168415b, 0x52e0caf1,
+    0xd6baf1c7, 0xaaaee6e2, 0x7dc7eda0, 0x2724fb97, 0x3e252707, 0x486764aa, 0x7a76ee6f, 0x20d4793b,
+    0x7e0e3ca2, 0xc90b0a8e, 0x492587be, 0x66ec1090, 0xad94006a, 0x0a8950c5, 0xdafa5dd2, 0x090217e2,
+    0xe074b364, 0x4e0b4628, 0x845f2671, 0x5206ed7b, 0x3c373ce6, 0x2873b605, 0x153b7e4d, 0xb198f08e,
+    0xc79f6d5b, 0x074881e4, 0xe3e0bb74, 0xebb9486b, 0x00267bcf, 0x7d43ab2a, 0xe2961ad0, 0x102fc32d,
+    0x24134c3b, 0x8c0f21bf, 0x8a5c3991, 0x691304ef, 0x11b04cbc, 0x7d147ecc, 0xe241fbe4, 0xbe03d39f,
+    0xab8c1b0f, 0x5d8f8f63, 0xcd17379f, 0x9aac434b, 0x339fc206, 0xf55a81ee, 0x9d34a364, 0xb7959f0b,
+    0xb44123f2, 0xa070f451, 0x65df7773, 0x975f4dda, 0xf128e6c4, 0x68dc474b, 0x83734f29, 0x43ae5330,
+    0x682197a7, 0xacbbc72e, 0x68236715, 0xe3f26216, 0xae026680, 0x293da411, 0xdd00e980, 0x190937dc,
+    0x24b457f2, 0x1f7532cf, 0x9f0f17dd, 0x4a7e007e, 0x031a515e, 0x5af1f858, 0x15ac2023, 0xfcfff9bf,
+    0xcfba5e8c, 0x5ce2542a, 0x43730888, 0x3f94fed1, 0x0f530b12, 0xb854398a, 0xf70e9af5, 0xe8ca42b8,
+    0xb462222e, 0x649aeb4c, 0x53178ac3, 0x50b294f2, 0xe1aaa201, 0x5903657d, 0xe796cdeb, 0x06f412c0,
+    0x049cd982, 0x7d3b8a39, 0x8bd241a3, 0xe8fd6035, 0xb2be1d92, 0x730cf710, 0x85436414, 0x65f4276b,
+    0xcd3bd3e5, 0x1f7e5e9d, 0xa55d5926, 0x57c18a91, 0x91f61f1e, 0x62434d62, 0xc0c30042, 0xd93ca759,
+    0x8d2fd18f, 0x057f9efb, 0x9425a103, 0xe20322a0, 0xb40dd97f, 0x293f4c7d, 0x4cffd4e5, 0x425ebb21,
+    0x4c6ab6d5, 0x3434ca60, 0x3c969751, 0xe0ca7170, 0xb60430fd, 0x8e7df1a2, 0x9617ba0d, 0x9604f9b5,
+    0x00000000,
+    0x024b3268, 0x40900b25, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000348449143727040986586495598010130648530944 */
+  { 0x00000000,
+    0x35d634b8, 0xfa3e9946, 0x4f051448, 0x293545d3, 0xc5eae054, 0x70efce47, 0x5ac6c5a2, 0xa808e75c,
+    0xc3798546, 0x8009b3d1, 0xea7307c2, 0x733a1b15, 0x8d58be70, 0x4d54dee2, 0x8258ef26, 0xcff1c7f6,
+    0x1ba88b50, 0xb1d95d22, 0xed8576a4, 0xa871a794, 0x8de88fff, 0x2dac5dbc, 0xa014e579, 0x4bd5f5bc,
+    0x91c66a03, 0x7f9d6b1e, 0x42409cf9, 0x9126a4b6, 0x72e6a289, 0x5a30ac53, 0xafa754ba, 0x60b70dd2,
+    0x85b7f126, 0x491397cd, 0x288884e1, 0x1e29f783, 0xf9b0e6a1, 0x8eb235fd, 0xd0c02742, 0x68dca199,
+    0x877d5aff, 0x0aeab7cf, 0xdb4213d6, 0xad86818e, 0x6c5ec561, 0x8f49c871, 0xe7e74898, 0xf38a6a51,
+    0x723dda77, 0xd42ee55b, 0xb2c53d84, 0xd61478e1, 0xb118933b, 0x3ba33c3e, 0x80b030b6, 0x35c4ce80,
+    0xb7ec3de4, 0x8bf697ab, 0x9ead5ad4, 0x33ce6b23, 0x09fab9a9, 0x2f8f9c4a, 0x757f5ea1, 0x163d3d7c,
+    0x2008ed52, 0x45855fc5, 0xe5336f86, 0xfc969646, 0x85c09b98, 0x7439e2e0, 0x680525dd, 0x43ad6c43,
+    0x58cb0a33, 0xd8a2fe98, 0x91fb8647, 0xbdc48216, 0x1acd32df, 0xd850123f, 0xf444ff3f, 0xb9de5311,
+    0x4cb8193a, 0x0bafa2ea, 0x44c69174, 0xc6382125, 0xc9485304, 0x206d85f8, 0x0b9f8170, 0x1d6ad763,
+    0xa47fc376, 0xf1345f55, 0xa11df9ca, 0x6112e73f, 0xc248961d, 0x7af8bd4c, 0x2b38e159, 0x1e25f007,
+    0x1346e9ee, 0xe480ee0a, 0x37ab97cf, 0x6964e1d6, 0xb2d6a491, 0x4e1f91b2, 0xda42a5cd, 0x1e430466,
+    0x412b4c96, 0xbea11899, 0x7d1e3848, 0xac5230ec, 0x60120206, 0x2ec4194d, 0xce5d9d72, 0x2cc1b02b,
+    0xd68419cd, 0xfe1f43fb, 0xbdf3a834, 0x736a40a1, 0xe1dc4b8b, 0x61b9b78e, 0x2d80a58b, 0x15473258,
+    0x329086df, 0x52d60966, 0xb8805342, 0x0e6e01c5, 0x397919ff, 0x62f395dc, 0x9b2bbcac, 0xa8590271,
+    0x05a8a15a, 0xf5ffdf29, 0x5ff53823, 0xb5e504ac, 0xcba95ac2, 0xa06ad84f, 0x6e84c013, 0x3e325d0f,
+    0xe4a7b10c, 0x2c8debdf, 0xbc929689, 0xf744612c, 0x2406e8a2, 0x73037865, 0xa89fb7dd, 0xe59e1e8e,
+    0x98d208bc, 0xcf86a8cc, 0xad6cd7b1, 0x9d691d87, 0x7b3bad53, 0xc05fea16, 0xd1526095, 0x9a80b77e,
+    0x8b46daa2, 0xfb351113, 0x134fc0a9, 0xc3a8e59e, 0x8e61370b, 0x21e77962, 0xa2e7680c, 0xa866fba5,
+    0xf63aa250, 0x6d748661, 0x8ef07791, 0xb10819b2, 0xf16d4ee3, 0x6ce774fe, 0x7e9c43ac, 0xcb3b6712,
+    0xededb74b, 0xdb706068, 0x1d7ab35c, 0xf079295a, 0x6c8e8e5e, 0x935c9f2e, 0x1ed051d4, 0xeda11ce5,
+    0x1b35bd64, 0xf6f8c496, 0xe9b98a16, 0x22c682c5, 0x41f3e0e5, 0x3e5d4352, 0x7409593e, 0x55d6a5c5,
+    0x5bd945e0, 0xdc870cc7, 0x8f6fdf59, 0x294ab5d4, 0xd2a619bb, 0x27ac52ab, 0x482f588d, 0xc165db93,
+    0xcc52194f, 0x7030c1f1, 0xe9dad947, 0x5ab452d8, 0x300a3aec, 0xb0ab4b1c, 0x4720be5b, 0x9c244c1f,
+    0x02d79f64, 0xac976683, 0x09bf3e53, 0x8d887a5a, 0xc251c144, 0xdfbf8e5a, 0x49820dca, 0x0c78e03e,
+    0x6f5642ad, 0xc4b9d5ae, 0xf6d9cf51, 0x07e6c648, 0x848c38e7, 0xb2a4e106, 0x1d9fadae, 0xccd1dfe6,
+    0x76870d37, 0x71f1c515, 0xb320c411, 0xece824ef, 0x19890caf, 0x521c1296, 0xc9357f7e, 0x276580fe,
+    0x9fec969d, 0xf0d68889, 0x1e524c84, 0xadadff26, 0xa5be3016, 0xe3c4a087, 0x1b57b9f3, 0xb631f033,
+    0x44ec4dee, 0x4818304e, 0x8b794f63, 0xf18c9b70, 0x6172b295, 0x5a39aad1, 0x67306cc1, 0xf471774a,
+    0x35252ec4, 0x6f24c654, 0x8bf871c1, 0xe3afa042, 0xed0e666d, 0xeb7feb88, 0x7b210b61, 0xcd6cfa65,
+    0x51db5cb5, 0x8cf7f5bc, 0xc359e5aa, 0x26c0bf99, 0x7b94317c, 0xb68212b5, 0x54180ec5, 0x6e5a7182,
+    0x140bc352, 0x1e393e43, 0x4931429d, 0x21755774, 0xe49fd19c, 0xb03ecfac, 0xdcc4d8d6, 0x08813736,
+    0x2fbc2873, 0x9823f74f, 0x0d2dcd72, 0xf3b23124, 0xfdca1913, 0x77e80732, 0x7018d09e, 0x2dd64e77,
+    0x49446f31, 0x2781203e, 0xfcce4c27, 0xd4678f7b, 0x633b3d79, 0x56704293, 0x465949a0, 0x793833d4,
+    0xde3691c3, 0x465eb535, 0x34b243de, 0x921ba16a, 0x26f2122c, 0x8065e759, 0xe325f2e5, 0x365b74c7,
+    0x9c5a3cea, 0x97a5b4db, 0x7e6cf964, 0x3792db6f, 0xe26584b3, 0xf1a5c38e, 0x624b24a5, 0x2a8aabf9,
+    0xe3759e8a, 0x86216958, 0xcdecf50c, 0x4f93dbb3, 0x428f922e, 0xa491fc0e, 0x4e328ca4, 0xbf6f1ab8,
+    0xba434b28, 0x69551de4, 0xadcdfdb5, 0x265cd7b5, 0x55b9bb6a, 0xc4671333, 0x41eed8c2, 0xd867e096,
+    0x4f044918, 0x36a22f79, 0x6b596c4d, 0x6f741c23, 0x59ee3e55, 0x04e4639d, 0xc65c25e0, 0x1f16ad39,
+    0x610f47b7, 0x9b4865d7, 0x6be90540, 0xf9a8e694, 0x48480dfc, 0x85646e53, 0x957c265e, 0x34f3bad9,
+    0x3369d53d, 0x17f50f30, 0x1ff3a191, 0x89c54bb5, 0xab5b7974, 0x42af04b7, 0xfef070ae, 0x249100ff,
+    0x6872042f, 0x6a102102, 0x647e811c, 0x3ddbd159, 0x1fd27c07, 0xab4da90c, 0xe438f846, 0x2a0bb872,
+    0xc56f06b6, 0x7837cdbd, 0x5124898e, 0xd7382edc, 0x8ee7e1ad, 0x11c46939, 0x1ecf27ed, 0xefe7962a,
+    0xe91835dc, 0xa43516ff, 0x9ca6bd62, 0xe8991f4f, 0x368d33f3, 0xa4f74fc5, 0x2ad7a949, 0x3c53af9f,
+    0xdd1f56c0, 0x76d327bc, 0xed06a957, 0x7d62308a, 0x41e0d07c, 0xefa35b44, 0x2256a54c, 0xf4bf64be,
+    0x4144c1ef, 0xdcce6ef7, 0x15687421, 0x0564504e, 0x40e99363, 0xf4ce7742, 0x88e9fc0e, 0x870f60a0,
+    0x02621cec, 0x7678714c, 0xcb0824cb, 0xb66bc6db, 0x29f85829, 0x9e56ab32, 0xaf9b6260, 0x4b52b006,
+    0xec442652, 0x136498f1, 0x0f24327c, 0x77c2e261, 0x8545f9c2, 0xa5da0ef9, 0x02364c79, 0x1359e32b,
+    0x035a1d0b, 0xeffc7d04, 0x67817ac3, 0xa5d5eab6, 0xb3294c59, 0xd57a12b3, 0x90bc8759, 0x21f440f3,
+    0x823f9968, 0x5423630f, 0x75768954, 0x759b2600, 0x37e9b935, 0xaafe9cfe, 0x4897d4de, 0xab6b4c50,
+    0x7838e2e1, 0x5c6a3b5c, 0x84aa1158, 0x855c9325, 0xf8a6a22a, 0x5f9720f8, 0xe4331610, 0x5b53fc74,
+    0x955aa179, 0x07ec1ebb, 0x865806ad, 0x66ffaf6e, 0xb44395ee, 0xa93901d8, 0x9121e3a2, 0x3028696b,
+    0x3fe19e32, 0x61053582, 0x9a91de1e, 0x2f09c03f, 0xd037b2c0, 0xdca9dbea, 0x09115fef, 0x2beb980f,
+    0x284cd4d9, 0x62c8eee2, 0x426de92d, 0x6df9b548, 0x6676995d, 0x568706f6, 0xc6930bee, 0xfa090719,
+    0xa9f5e6e4, 0xa2df0a0f, 0x0f6198ca, 0x41ba5d21, 0xf4b9e49b, 0xd25d6882, 0xdf280485, 0xf3f92297,
+    0xa504e0f1, 0xde8e9f22, 0x4af91d11, 0x7c4d612c, 0xe0d57cd4, 0xe7422c20, 0xbf6e3e81, 0xd71065f3,
+    0x8cf73297, 0xa0f69474, 0xe379ce0f, 0xb2f84d06, 0x303a6f9a, 0xe58f23b5, 0x48380c5a, 0xa28eef2f,
+    0x7f13eebe, 0xfcdbb67e, 0xe80f4aea, 0xf2a87184, 0xfe34959d, 0xd1a1adc1, 0xaff81f1d, 0x3a4466f7,
+    0x982abff0, 0x3498e583, 0x81ee8309, 0x56ecd0a3, 0xe198694f, 0x830e5de4, 0xb534ecf2, 0xdd364dc1,
+    0x2a16388e, 0x7a9301e1, 0xffc1ea52, 0xa4fa23a4, 0x918d74de, 0x6aa5fab1, 0x8fb18c65, 0x7ab84b9d,
+    0x60d9c79b, 0x4a87787c, 0x4819a225, 0x6abbc5e4, 0xa5108a9a, 0xaa51cf15, 0x2e077b6c, 0x27653fc1,
+    0x12dab941, 0x45de9795, 0xc1ea7404, 0xa499ea6e, 0x15441bb5, 0xeea60446, 0xa84656e9, 0x066e2aa1,
+    0x43c42da0, 0xaba8c613, 0x29e68d7c, 0x70d9d965, 0xc7674fe1, 0x77102fa4, 0x87efd1ae, 0xf0223ae0,
+    0x15f381b6, 0x4b16839b, 0x7d83e943, 0xbba53c52, 0x878bb9c5, 0xbdcecdb4, 0xafec3176, 0x843a95e1,
+    0x8c6928bd, 0x7c331be4, 0x1333e238, 0x45c973e1, 0x60de1dab, 0x1f14c692, 0x296311c2, 0xe113101d,
+    0xa00ca821, 0x9479808a, 0x68a9f05f, 0x11d46816, 0x62d757d8, 0x478d6ff0, 0xf5fde7b9, 0x7db074eb,
+    0x09f1d699, 0xf64fef6b, 0xa09409b4, 0x553948ef, 0x799a16bc, 0xf17e0648, 0xdb4219d6, 0xeb3aebf0,
+    0xb547503f, 0x431e1381, 0x01323faa, 0x24f33851, 0x3f80c050, 0x6ee701d9, 0x475148ba, 0xea224981,
+    0xac7fdb4c, 0xa1e4e8b4, 0xe278c4cc, 0x22df842d, 0xdbb17a7b, 0x522844a5, 0xefa15afa, 0xd198cba4,
+    0xf438780c, 0xe22c28a4, 0x29de3b0f, 0xa79b8aca, 0xa6c3f957, 0x2120adf9, 0x0f3cc848, 0x3c14a643,
+    0x28d3b1d5, 0xa0ab0a2a, 0x6b855f77, 0xc1bd3525, 0x8f4b1469, 0x63904442, 0xf606226c, 0xc764ddb3,
+    0xd97bccb5, 0x66608f08, 0x7d6d3615, 0xef190f92, 0xf9902686, 0x12890859, 0x3d58d32a, 0x6d2d58c5,
+    0x8e004982, 0x87449f5b, 0x19c68147, 0x85db726c, 0x8b2ff04e, 0x5cd59df0, 0x0e14e91f, 0x67af83db,
+    0xb40fa8a4, 0x8113f049, 0x1c4d314e, 0xed8e1faa, 0xaeb7f457, 0x83800722, 0xdd590ec0, 0xe40683f4,
+    0x2ecec65b, 0xbb6571c3, 0xfd29facb, 0x6e3e1fa0, 0x9e7ed1a3, 0x2b4e8e14, 0xd4e1daf7, 0xceb6a9a7,
+    0x071b81e3, 0xbf9e46e5, 0x30b129dc, 0x04e50fe5, 0x34ca4d9d, 0x65d011cd, 0x700f6263, 0xbba3c58a,
+    0x8159a633, 0x34c6a5d7, 0xba2a100e, 0x7fec68ee, 0x0592382d, 0xa6c41eca, 0xcad03efa, 0x141f71fd,
+    0xf75d54b3, 0xea7d3437, 0xaea9159f, 0xf10835e7, 0xe856861e, 0x59b86f23, 0xd57dee24, 0x238fb44c,
+    0xbec14ed9, 0xcbe17ec2, 0x6f810718, 0xeac2e9ea, 0xbbac3d57, 0xde564fcc, 0x61aeb9e0, 0xb89ba503,
+    0x9bd67510, 0xc8089a2b, 0x75e5f80e, 0xe5af7203, 0x3a755a88, 0xc7b0cbef, 0x08b0515e, 0xf2cdd036,
+    0x77a0ded6, 0x29be7ee3, 0x8ad3a0dc, 0x3d7432b4, 0x977aedc1, 0xa5f4a81e, 0xc9f78ec5, 0x2d29a320,
+    0x4cea6f1f, 0xbc5fe717, 0x0cfba60b, 0x9c168d57, 0xc19f24d0, 0x603f63ed, 0x860abe63, 0x70001151,
+    0xad2f53e8, 0x1d4c7f6f, 0xb5550cb8, 0x08d1dd20, 0xb6f6b735, 0x0aa42e65, 0xc5a2db58, 0x781081bb,
+    0x85094a39, 0x23303ea7, 0xacb88e85, 0xd1e14d3f, 0xf94bb6f5, 0x8f399396, 0xfbb4236c, 0xd8d74c16,
+    0x91a01fdc, 0x576c031c, 0x4a01d4df, 0x7525e7cf, 0x3bb32188, 0xded4add7, 0x1d93a4e6, 0x8cd287a4,
+    0x2a39b2b7, 0x02114660, 0x1d5b9fb9, 0x475db085, 0x0baf2de5, 0x00de8111, 0xf7726e73, 0x42372e1c,
+    0xbd682c8f, 0x48207a6a, 0x310ebcd6, 0xdf05286f, 0xcf10b09a, 0x8ebe13f5, 0x75e12e11, 0x7d496a53,
+    0x30d2b3ca, 0x402d3e90, 0xeb717d27, 0x5ac2e5a5, 0x3530a886, 0x7f7811f3, 0x2ccbb13e, 0x498ec0a9,
+    0x3dedbc64, 0x16a8e9fa, 0xd280dc7c, 0x759b3cf3, 0x0a37e9c5, 0x24f6af18, 0xc70dfa89, 0x2ad1fea8,
+    0x09a03768, 0x3c83f921, 0x2f905650, 0x463aa7a1, 0xd80ac95d, 0x2e160e7b, 0xe4458b99, 0xf2c4ab86,
+    0xb7ba9725, 0x49711fd5, 0xe8b5a37f, 0x69082547, 0x5256076e, 0x3774021e, 0x95765a4a, 0x14e79925,
+    0x1a370cfd, 0x4f0ff44c, 0x800aa3a3, 0x099276fe, 0xf3d9d480, 0xcd1d1168, 0xed893368, 0x9e4b6c10,
+    0x3e1cf8ca, 0xe2a4006a, 0xc80bedcf, 0x9ddf494c, 0x00657071, 0x0b4fac6e, 0x23f4c62e, 0x113e06d3,
+    0x92eb7340, 0xa856efa4, 0xc336b5eb, 0xe4355eb9, 0xad0e8448, 0xe378e6ba, 0x9fe88398, 0xfd67dc00,
+    0x197e4d1f, 0xe503f944, 0xfde0722d, 0xcee02703, 0x9c54dc0c, 0x1742e3f6, 0xdf4a9fe4, 0xb8e9e53f,
+    0x9893ac84, 0xf9dd4437, 0x00fa09d0, 0xfe2ca22f, 0x0e806d4a, 0x7ed6e10c, 0xa707c4a4, 0xd09eaa45,
+    0xe2483373, 0x2ce4862d, 0xc55bd71e, 0x90700b87, 0xb3ee5b3f, 0xc0d742a7, 0x766d48a8, 0x6e4249b0,
+    0x50c1118d, 0xd835b60f, 0x75ad4b2c, 0x046ecda6, 0x443e114e, 0xd515cba4, 0x5b3aa8d2, 0x2f5efadc,
+    0x7de362ca, 0x0c5cd9ae, 0x3e5ec45e, 0xd3334074, 0xbfd80646, 0xe80b1c3e, 0x15a66eb0, 0x51f04359,
+    0xc65bf82b, 0xd24aef11, 0x3aacce82, 0xe87e1f5b, 0xd663eab8, 0x715d711f, 0x4f0ed0d6, 0x730c6d26,
+    0xf348bbf2, 0x6cbb51b1, 0x5002bc2e, 0x7a058421, 0x29680893, 0x6c7198cb, 0xf385bea3, 0x504c1a6d,
+    0xfc56fdd7, 0x37f8541f, 0x5227b5b9, 0x3409dbc0, 0xb9d40226, 0x39ab2e00, 0xf72af432, 0xfde3f0df,
+    0x8957788f, 0x71a95fa8, 0x0079e803, 0x87e532b3, 0x00c2e2fe, 0x67799120, 0x62f631f4, 0x79527f44,
+    0xdaeaa111, 0x5705c848, 0x968f030a, 0xb942b943, 0x5f069c6e, 0x75cbff90, 0xe47d10c7, 0x849e3a7c,
+    0xc3022bf7, 0xc9752091, 0x4dccb52b, 0x5ce3a237, 0x6e573f9c, 0x950d28ef, 0xbd1192de, 0x5e82a8d5,
+    0x64ba8c36, 0xc0ec527e, 0x31783946, 0xe057796f, 0x74cae2b0, 0x41bd575f, 0xb411ba9c, 0xa8df903d,
+    0xe5282f2a, 0x3391101e, 0x958a96fd, 0x3d128e88, 0x1806c421, 0xfb827349, 0x15947977, 0x8b08de32,
+    0x7da39d2f, 0x5db53ebe, 0x09f10b42, 0xf3d6b101, 0x31f8f467, 0x012d4cbd, 0x9b3e5ddd, 0x78a82ac7,
+    0xbf6ecb2c, 0x9b59c17f, 0x5af44f63, 0x423c6c82, 0x02407cff, 0xcd2a6dcb, 0xbeacf717, 0x1f4a42cc,
+    0xa690c7d1, 0x7e4e4ab0, 0xd2b9400b, 0x0e49b772, 0x6d2864b0, 0xb7f82c83, 0x704b794e, 0x348009c3,
+    0xaec11a6d, 0x680deebf, 0xbb7a81ba, 0xe89e1a3e, 0x70706f39, 0x76b68077, 0xcf0228a0, 0xa88a9264,
+    0xdb80c966, 0xe504c3be, 0x973a3dd8, 0x01af7dd1, 0x047c22d2, 0xea9b7bf8, 0x37b38503, 0x08d7dedc,
+    0x7f366c16, 0x218ee348, 0x5ac98d1b, 0x61fa3efe, 0x1c893d2c, 0xf658f31d, 0x30501fb2, 0xb815656a,
+    0x10121159, 0x5388a2a7, 0x0a22746a, 0xe8c162ef, 0x58032926, 0x272c72ed, 0xcb16f3dd, 0xad0d36bd,
+    0x1ff6a1e5, 0xecff7c6a, 0x84b4dd4a, 0x9067c91f, 0x3d59df63, 0xe3a33eeb, 0xb1545e4d, 0x7103af10,
+    0x67e405e4, 0xf5f8cd1a, 0x4bee8794, 0xdd134f06, 0x408a939b, 0xf81a59bf, 0xb6e5b4d4, 0x6bf362aa,
+    0xcb9cbbef, 0x55c4cc34, 0xa49f772d, 0x9aa1b2b4, 0xa99a94fa, 0xbf4bebf5, 0xa48dedb1, 0x094de5b7,
+    0x785ca294, 0x02880ff7, 0x07ea3e9a, 0xa4c021a0, 0xf9872a22, 0xec59562f, 0x2dfa5432, 0xa2ffdbfe,
+    0x786c2d7c, 0x82c3f077, 0xcfea3972, 0x79e3a193, 0x0a46e813, 0x89710805, 0x40762ce3, 0x893871a0,
+    0x71b0753b, 0xcc392b77, 0x7c485fb3, 0x478f07ef, 0x8597a41f, 0x8d19437e, 0x73a3a8a9, 0x0d4b2817,
+    0x7b55bae7, 0xdac20651, 0x8fcb7ef6, 0x441d84fe, 0x1cffae89, 0xd91a275f, 0x7e3bf177, 0x53174b2d,
+    0x9fa3e79f, 0xf3096c25, 0x36e2768e, 0xf9c9eb6c, 0xbb1192a9, 0x4e79b883, 0x2c32e7f3, 0xc1980319,
+    0x651d2be4, 0x58c97ddb, 0x0c33f940, 0xab6ec92c, 0x40040e4a, 0x03022164, 0x8037113d, 0x76feaf43,
+    0x9e8c1d07, 0x8d050282, 0x12b16496, 0x801d0c24, 0xdb34425f, 0x5d084b82, 0x91171ba7, 0x43f9ba23,
+    0x36dd2ea4, 0x723c0651, 0x9d723239, 0x2218ad12, 0x064d0623, 0x856d1874, 0x3847448a, 0xc3f8ccbd,
+    0x00000000,
+    0x81259933, 0xa0480592, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000174224571863520493293247799005065324265472 */
+  { 0x00000000,
+    0xd531956f, 0xb9b395ff, 0xe634bf25, 0xe532f342, 0xb16cf07f, 0x2cf5dc65, 0x8aaf92cd, 0x8c3d23b2,
+    0xcd3265d0, 0xcf53376b, 0x939b464a, 0xe4543013, 0x75cebd2e, 0xe07369a8, 0xa104f474, 0x5a9b812b,
+    0x2c369f79, 0xace2d240, 0x17180371, 0xee8bae0f, 0x6ce6a4b5, 0x5afd07ee, 0x552ee721, 0x8905b9b5,
+    0xc823bab6, 0x1a234eda, 0x84477a0f, 0x31699296, 0xb339de37, 0x2688bf9a, 0x5a0ad454, 0xee8d7b29,
+    0xc7aa301d, 0xd9cb5e3c, 0xf6d64618, 0xc76a939b, 0x4cd51a43, 0xccf81bb3, 0x2710f718, 0x77bf8d16,
+    0xef869a8b, 0xc2ad7924, 0x4d96c295, 0x7ad687ca, 0xe64f1cf3, 0xc6dba46c, 0x9f6b7bc4, 0xa569b554,
+    0x2765eba3, 0x8268c992, 0xfc003e76, 0x1bdcc255, 0xd0736bfa, 0x21e96db5, 0x83b542ef, 0x341d24d0,
+    0x61f8a15c, 0x7972cdf4, 0xbb962da4, 0x1dfcd88c, 0x43d9aef4, 0x6b34a4df, 0xcd519993, 0x2e74d233,
+    0xf2315e81, 0xca733485, 0xe2dedafa, 0x7ad42980, 0x6dfea28a, 0xa9785f2f, 0x77387d96, 0xb8d8be9e,
+    0xdba1630b, 0xf8da1236, 0xb8fb21d6, 0x82c1b8dd, 0x24334beb, 0xd8d0f3de, 0x8d904e6b, 0x0edce1c5,
+    0xc036640d, 0x94c67787, 0x80d82f98, 0x1d40e159, 0x6aa9c195, 0x900a5c8f, 0x3bf42d2f, 0x6477f5aa,
+    0x7e3fe62c, 0x6960d061, 0x8bd5a214, 0xe93c80ff, 0xa95a6ddc, 0x0ed58479, 0xd79615ad, 0x3d2c85da,
+    0x2f2217f1, 0xdc877dfe, 0xfe58b13a, 0x2704bfd4, 0x4d8814ca, 0x87adafb8, 0xfde90be3, 0xbb548d32,
+    0x5ce0253a, 0x97de8b63, 0xc11a6c65, 0x9959837c, 0x28b9d442, 0xccdbbe24, 0x5a15ba70, 0x86697c06,
+    0x24e85a04, 0xdc358ce3, 0x89fb89d2, 0xad08bfa0, 0x28de13a1, 0x68a39b4c, 0xb53af40a, 0x4d5888db,
+    0x7f5517da, 0xa3c79276, 0x80970d55, 0x188934fd, 0x7e177a84, 0x4b647ca0, 0xe82ef662, 0xab118cb8,
+    0xf4f15fcc, 0xb71fe094, 0xdfa38e90, 0x7d26a02e, 0xb4fe4c1c, 0xadf62091, 0x8945d5ae, 0x971a60e1,
+    0x96971e50, 0x1f5cb5eb, 0xb8ce435f, 0xcf18bc71, 0x11d449a4, 0x8c0b8d68, 0x4b181de6, 0x1137fbd7,
+    0x375d1b70, 0xf6fe4a84, 0xa71b8a1d, 0x22c8044d, 0x7a2e0ee5, 0x86cdb3c6, 0x6ad5e672, 0xa87357a4,
+    0x17d8dc78, 0xadfe940b, 0xf9e65dce, 0x6e23f5c5, 0x9302f4f4, 0x32537eef, 0x97bf29f5, 0xfa3c9f85,
+    0x400ac610, 0x7041aaea, 0xbdef2616, 0xf54d3a56, 0xd39ef992, 0x68ff843b, 0xb01aad95, 0x7cbe6c28,
+    0xd08afcd7, 0xa2f88dd8, 0xa556f8bd, 0xd8bdb7d8, 0xfff1c61e, 0x6ad88ab0, 0x1734abe0, 0x8ebac9f7,
+    0xaffc7623, 0x58206b4b, 0xe2b49431, 0x76308260, 0x481fdad5, 0x1450a4ec, 0xf58b0790, 0x75c4075b,
+    0x0f266bf7, 0x341600c5, 0xb42dda12, 0x73694127, 0x2880218e, 0xf027a743, 0x3f7e582c, 0x4c76734c,
+    0x4b1e3476, 0xb02336c5, 0xce126b76, 0x611f8cce, 0x5473e8c2, 0x83d18978, 0x4e018838, 0x32f0516b,
+    0x95894f3e, 0xeb4758ed, 0x1b9edb89, 0xb642a4bb, 0x8b2bb175, 0x03d7b3e0, 0xf51ec8c5, 0xa895603d,
+    0xb0d7c7d5, 0xb02666d5, 0x321b3904, 0x2bbdcb57, 0xe1b95232, 0x61689a78, 0xe8c88994, 0x0ab57bf4,
+    0x957dc246, 0xb39bc6ce, 0x6df2016c, 0x83e7b09d, 0xf16f57f5, 0xd39ba913, 0xa11eed00, 0xdf28aeb7,
+    0xca938b4d, 0x6912b25b, 0x17f9834c, 0xfc042a6b, 0xb6370070, 0x747dbd26, 0xf41dc20f, 0x6a3f2a10,
+    0x68186315, 0x19070214, 0xb0c52a88, 0xbaf5c33d, 0x3edf914c, 0x60774eae, 0xca22f420, 0x677a0c01,
+    0x57eb1b71, 0xa8cf1fd6, 0x27ccc5b3, 0x5272ab2a, 0x861feba7, 0x191fc35f, 0xd1ad851a, 0xc93e3803,
+    0x04671a7f, 0x4e3248bd, 0x909f3ec1, 0x7156d598, 0xfc7b6b74, 0xc22c8ebf, 0x9b38183e, 0x4fca8e0b,
+    0x443e3401, 0xce4ec0ac, 0x4d07ba61, 0x275d5b3c, 0x611a82a8, 0xc322cc66, 0x6a08331e, 0xf9d97922,
+    0x89416c02, 0x76a1cd1f, 0x1812a9ee, 0xd1da3cb3, 0xadf6d530, 0x624aca65, 0x9320fac5, 0xb085ae84,
+    0x50ac0af9, 0x1332a569, 0xb89872b0, 0xa1556cdf, 0x91a54456, 0xc11be4e4, 0xbac14349, 0xedeee3bb,
+    0x41fb9f9d, 0xc2c9b98f, 0x3fd2d23c, 0x315015ee, 0xcd99c478, 0x1ca0a058, 0x338d3dbd, 0x4e328f50,
+    0xa57102ec, 0xae58860d, 0xd91db5a9, 0x84e18daa, 0xa6993f4d, 0xa25abb01, 0x750e5441, 0x7811bc76,
+    0x3fb295db, 0x194b52e6, 0x7003cdd3, 0xd631fc8d, 0x3d794068, 0x19ddcd58, 0xc54d88ea, 0x21219df4,
+    0x1261ed2d, 0xd112af49, 0x3559cd45, 0x029ef9c2, 0x8f1e957a, 0x0ee7a378, 0x23fc8519, 0x0f56d793,
+    0x5fdee972, 0x9f9550a4, 0xdf272b87, 0x6be6a837, 0x62804c20, 0x4fc80f12, 0x45422ce9, 0xa0251084,
+    0x89a44975, 0x678b2ae9, 0xfb3bb819, 0x58847861, 0x68ca82be, 0x2e47f7d1, 0x957ff1ea, 0xd60cda1c,
+    0x326362f8, 0x7a35926d, 0xf827cbbb, 0x9976862e, 0xbac1253a, 0xe90761b8, 0x71301fe3, 0x04d6a427,
+    0x247a2242, 0x4404ce2d, 0x4db2b427, 0xe40091bb, 0x6a802448, 0x70263731, 0x48b0cb23, 0x5444a956,
+    0xd91d95e8, 0x986f4f05, 0xb76e0950, 0xd9cebc23, 0xcb295450, 0xb9b28ee1, 0x9943ab1a, 0xd753231a,
+    0x7d43b08a, 0x9eb57fdb, 0x2dd6aed9, 0xac20eeca, 0x54f2d846, 0x171d7c25, 0xf0398c09, 0xa13f6bdf,
+    0xc45e30df, 0xc83de597, 0x32305173, 0x74b12cd6, 0x0403e596, 0xfd8a57fb, 0x38e81ea4, 0xd10e442f,
+    0x41f5c56d, 0xf595472f, 0xc464edff, 0xc79ed4b3, 0x3d37ea8e, 0x2922a10e, 0x42ecf50a, 0xc3775d97,
+    0xd85474ad, 0xcbaef8b5, 0xf9ada4f4, 0x3aac5abb, 0x0d491332, 0x8eff618d, 0x06552e70, 0x653ef289,
+    0x8b478a36, 0x4a6ad7e5, 0x4ea1daaf, 0x97d239d5, 0x002db388, 0xf5cbf690, 0x79e03314, 0x141ae04b,
+    0x4ce5e184, 0x89e371c0, 0xe82615bc, 0x1c55f05d, 0x9f2a84a8, 0xfe39799e, 0xec2fa361, 0xdec7d11f,
+    0xb7735832, 0xf9a09595, 0x0bdbe375, 0x4cd99577, 0x1465ecba, 0x0c599289, 0x8ede69fb, 0x0cd68a4b,
+    0x4ca9bbba, 0x1c329e0f, 0x6ee6cb5f, 0xd44b4770, 0x701f7216, 0xc6d697a7, 0xde52335c, 0x425bf41a,
+    0xe6cd8038, 0x05c21cb5, 0x13c21503, 0xe45797cc, 0x1adbacf2, 0xec9a68bb, 0xf5416c9f, 0xa5d1aa21,
+    0xc4f25da4, 0x1fc75903, 0xde3d31be, 0xc0f3bac9, 0x913d1378, 0x31e40c7e, 0x03e57679, 0x6b48f346,
+    0xd90817ae, 0xfa6d82a2, 0xbd8f2796, 0xeba2b34c, 0xe55c1b38, 0xc5b3bc2e, 0x77433bad, 0xc49e276f,
+    0x3ee256fd, 0x695f3907, 0xf51bba0e, 0xcc73cc3d, 0x700e7175, 0xd89ba239, 0xced71f56, 0x30eb39df,
+    0xd751e0cd, 0xce701a13, 0xb0e67e4f, 0xbbb60d7a, 0xb111f945, 0x3f50e362, 0xa507229d, 0xe3475f45,
+    0x3167e3b5, 0xe7b13e8d, 0xc145c029, 0x72d48232, 0x6fcab35b, 0x060c9397, 0x79917d97, 0x5dcebdc3,
+    0x55c82211, 0x7b27b1dd, 0x5c2d6079, 0xc462e8f7, 0x817c16dc, 0x60be1b03, 0xb9506b92, 0x5719097c,
+    0x6d4f914e, 0xf920acda, 0xd95b11fc, 0x4c344aa2, 0x313d6f2f, 0x9ca2b260, 0x6880e7ce, 0x52bd92ca,
+    0x8be13216, 0x8f762bf6, 0x8fc1d02b, 0xc3096cb1, 0xbca05299, 0x8f05ecfc, 0xac56b7ae, 0x9a8cc332,
+    0x8a18c4da, 0xca367845, 0xdec60eaa, 0x541ea354, 0xb3c1a4ed, 0x45313547, 0x99bb1f9d, 0x560cb955,
+    0xa188869b, 0xd55280b3, 0x216f2af7, 0xad722bce, 0x41a082e0, 0x2c0a35d7, 0x74d85924, 0x2e2bfc7a,
+    0xdd44ec02, 0xc5e4a775, 0x9d7da717, 0x652dbc4e, 0x67cf2b93, 0x7e8b0258, 0x83a6f931, 0x4b68eaa8,
+    0x68693fd1, 0x63fa4adb, 0xa2bd5f97, 0x55d7e979, 0x91c58f4f, 0x68a4a339, 0x3a8f4c7f, 0x91c15ce2,
+    0xe962b90e, 0x2d4b2527, 0xbd3eaea0, 0x629105ef, 0xa9754164, 0xcbe5b216, 0x0119990b, 0x359a6f69,
+    0x8f93faf6, 0x1536c768, 0xa18414ed, 0xe47054d4, 0x0dbb1e52, 0xf974d38d, 0xf4038b27, 0xcadff5c5,
+    0x3274b0aa, 0x2021d300, 0x3c26c522, 0xce0db7cf, 0x0f2825c9, 0x7f2a6cbd, 0x8a5e4b41, 0x13eb6afc,
+    0xffe209ab, 0x6b012042, 0x96500138, 0xc74b5086, 0x37c1b8f2, 0xdc662b64, 0xcbb8f3e8, 0xfadfff57,
+    0x9dca4f6f, 0xfcb99d22, 0x0256d758, 0x33ea6c3b, 0x70b0fd43, 0x4ad609a6, 0xb629e5c5, 0x4bc47cd2,
+    0x3e720aee, 0xbcd758a8, 0x287804c3, 0x6ed71ea0, 0xfd8ca93c, 0xe7bd2c6f, 0xf661ce05, 0x3b0b1064,
+    0xac5d6ac9, 0x3bdc9751, 0xb28413c2, 0xd0ae14b1, 0x8b326e15, 0xf7f55f47, 0x24f62f42, 0x1d9a4d10,
+    0xe3b2da85, 0x62e3ee79, 0x2f9b0702, 0x52f5e20e, 0x13f7eea2, 0x9fdb1a1e, 0x1a69289e, 0xe545c758,
+    0xf6ccb1ba, 0x4d6a6272, 0x189f3341, 0x2fcf07a9, 0x80295be5, 0x1ac3e464, 0x8980b79a, 0xbac7456d,
+    0x071f7659, 0xaa0ddc68, 0x59f6dfe4, 0x2dc47a6b, 0xae143723, 0x5f116f16, 0x876801b4, 0x5b969047,
+    0x78b37614, 0x90f9dd00, 0x8b53aa4f, 0x84391c02, 0xf3912ceb, 0x69f7cea1, 0xe0689cf5, 0xcdf93091,
+    0x3177dc7b, 0xd76db1eb, 0x7e410211, 0x38c98f82, 0x6cb46404, 0x769d9598, 0x95cdd4d5, 0x4ec5df57,
+    0x767798a5, 0x432e2c11, 0x6441de4b, 0xd659989c, 0x724c0018, 0xab3b59a4, 0x99001ff1, 0x23965070,
+    0xaf3e9bac, 0x6e4dd342, 0x8d4267b8, 0x4fb8c21d, 0xe0a2036d, 0x8a5c77ea, 0x6c84071d, 0x00a6ab68,
+    0x18ac1eba, 0xb072bd95, 0xc421233d, 0x73c1e66a, 0xa8c0a4b3, 0xa1369df4, 0x4ddc011e, 0x3b969141,
+    0x34be02de, 0x9d9cf131, 0x36eb2cc1, 0xd99bda2b, 0x037ea0ec, 0x88c21915, 0xfc09bc31, 0x1cbad271,
+    0xa43e3094, 0x458fe003, 0x2d3a2774, 0xda052728, 0xa2143770, 0xc954d945, 0x992b0a7a, 0xc81f794a,
+    0x6f27b4aa, 0x3c695eef, 0x4e705b2a, 0x7f66596f, 0xbd4d9e12, 0xbb17b69b, 0x00b722fd, 0x81ac3204,
+    0x92208d34, 0x39af4ab8, 0xf6506ee7, 0x10c78a31, 0xbc7da0ad, 0xa490b97e, 0x340d617e, 0xb2b90fc8,
+    0xb1917ec3, 0x72de8abc, 0xc8fdb0cc, 0x63530d5a, 0x269bc596, 0xe35ee408, 0x429bddf1, 0x775de0d2,
+    0x563c0fbd, 0xba17cee5, 0x96225c7b, 0x1f5a3f1f, 0xd2a42390, 0xfb7dc95c, 0xf4dec86a, 0x8eba724c,
+    0xd53158f2, 0xac5181cd, 0x9a346cae, 0x99b9fbdf, 0xa8432ebb, 0x773b6c49, 0xeeffd9bb, 0x49729dcb,
+    0x6dd64303, 0x6b2efc01, 0xc25f6c46, 0x789dea7b, 0x4ca16379, 0xe93f5a39, 0xcf360554, 0xaf9aa39b,
+    0x042f1f22, 0xdb6c8490, 0xdb0a5b09, 0x8f8b79f4, 0x1aadd9f3, 0xfad66f96, 0x7226df91, 0xb6d41805,
+    0x3d5acdc9, 0x17c6684f, 0x935b12bb, 0x63f206ef, 0x5ed2ee00, 0x620e84b2, 0x2f394b82, 0xe546a8e6,
+    0x2ed1fba4, 0xce70feaa, 0x03768922, 0x7124ee95, 0xf5dab662, 0x48e0a569, 0x93a974b9, 0x30ac4cc8,
+    0x058ef03f, 0x4dd05979, 0x221846af, 0xd1d557eb, 0x44959229, 0xcee4715c, 0x5aff9bb6, 0x477bf2fc,
+    0x0675e757, 0x238ec2bb, 0xeb048973, 0xe63f1844, 0xeaaf0334, 0xa921c7c9, 0xa62e248e, 0x0da8d903,
+    0x68a7fbe3, 0xbc15e583, 0x1179be5e, 0x39e5a4c7, 0xd0a350ab, 0xc56bd1c9, 0x60483463, 0xe1b80271,
+    0xb524bd3f, 0xcf5a06e2, 0xa225b22d, 0x87acee5d, 0x5a1ea2fa, 0x737dc597, 0xfcfb6d4f, 0x50d292f7,
+    0xc4da93d0, 0x9333addb, 0xf5854ce2, 0xed3a192a, 0x48217ee2, 0xba933b39, 0x3d845ee2, 0xb28bf4a4,
+    0xca3b616e, 0x4d43bace, 0x57202800, 0x3bd25083, 0x379b1013, 0x008256e0, 0x09fffc33, 0xfb699ff9,
+    0x9c02d1c5, 0x24790f76, 0x45445634, 0xe00c14f2, 0x53b60791, 0xf87c07a9, 0x2f89d858, 0xea0582d6,
+    0xee13c07c, 0x97107293, 0xa1817c30, 0x74aab3d6, 0xdeb47695, 0xdd998d30, 0x08f6033b, 0xea05f7eb,
+    0x75dbf679, 0x996c1b18, 0x5f9cef79, 0xa83bde66, 0x755f965b, 0x2f01a032, 0xf5d4335b, 0x03591c2f,
+    0xccee3731, 0x3851a74a, 0xfacce0d9, 0x64fae4f4, 0x0853d8e5, 0x53c21e86, 0x7d9a1ce2, 0x5c190290,
+    0x2cd96e81, 0x46409f14, 0x1642886b, 0x166afe0a, 0x5b970923, 0x07db17be, 0x5123a8b8, 0x09663b3e,
+    0xc9591e74, 0xb84ba19c, 0x3a804c94, 0xf0d2ea58, 0x460fbc94, 0x630032a8, 0xf37655fc, 0xbd68b95a,
+    0x29bb9ec3, 0x243de432, 0x77d07644, 0xfc1263d3, 0xfbe530d7, 0x847fee67, 0x43f88642, 0x669ae681,
+    0x4684d5a8, 0xd8cad1ac, 0x171ed989, 0xb8135d63, 0xa6805096, 0x5305ec06, 0x8fbd65f9, 0xe6627e9b,
+    0x223e5c1b, 0x1153643a, 0x3bdafc52, 0x6e9e2784, 0xdf9cd6c1, 0x0a6786ae, 0xc809374e, 0x4498584e,
+    0xbc7bb7d7, 0x1c833ed7, 0xc29deabd, 0xa9cfb5b3, 0x3ba6d85f, 0xe3773c9d, 0x94539d7a, 0x5a2f924c,
+    0x7989e4e4, 0xac6b2636, 0x3c625e37, 0x551c715a, 0xa7ca7d89, 0x0b6b0096, 0x8138b7e9, 0x7f7b67ba,
+    0xf72ea770, 0x36db0d83, 0x20fa263f, 0x2a3ddee1, 0xcff30702, 0xdca3fd48, 0x65cd781f, 0x2755e18d,
+    0xafea9635, 0xca9162f8, 0xc1db97a9, 0xeff0223c, 0x76008f7b, 0xa2f489c9, 0xc9f706f5, 0xcfe108c1,
+    0x65bb7de3, 0x66d68e17, 0x253d0e31, 0x4f1639e3, 0x15940266, 0xe1206291, 0x59b977cd, 0xf8efbf0d,
+    0x0fd212dc, 0xf7aae350, 0xc14cc078, 0x36874529, 0xf147ea1f, 0xb4daf0cf, 0x24809c66, 0x627035d7,
+    0x22aa8dbc, 0x9765ca24, 0x50bed0d5, 0x9f5e9d5d, 0x4e1ef893, 0xdf7b13d3, 0x3903730a, 0xcad5ae2b,
+    0x52994596, 0x60b3173d, 0x00b26573, 0xbe1fed62, 0xf06bfa26, 0x2b3b20db, 0x9a32fa37, 0x501dacdd,
+    0xfeb26e68, 0x6e4d0948, 0x4748c091, 0xabd8647f, 0x47c5a1e7, 0x44b993dc, 0x3250aa47, 0x1eea38f2,
+    0x1b2a3538, 0xcf382714, 0x198e3f41, 0xe6c642c4, 0xe1732f1d, 0xf0cda1e4, 0xebf51858, 0x07a9937c,
+    0x8b1c22e5, 0x30cdbbda, 0x1d9484a2, 0x488651b6, 0x344898d9, 0x00fcc557, 0xd900bdf2, 0x7ae59aa5,
+    0x9267fc90, 0x6e6e4fc9, 0xd3b2a5c4, 0x213d494c, 0xc626df52, 0xb24c36ab, 0x53383da8, 0xbb4c496c,
+    0x213e6330, 0x795c6470, 0xd3366d10, 0xa580d358, 0x29607863, 0xcf35b079, 0x2966958c, 0xe299bc1e,
+    0x5f272c2a, 0x3eb295a7, 0x8e21407a, 0xded8fb20, 0x781bb0bb, 0x5de87913, 0x9a5ec4c0, 0x9a334d7a,
+    0xb256ebdc, 0x9ad4e007, 0x9128ecb9, 0xd42e284e, 0x62a88d8d, 0xdc0e74de, 0x95b09755, 0x7f3aed7d,
+    0xdacf44f3, 0x728e97b7, 0x1bd11e7a, 0x4de63634, 0xc37da9e4, 0xe8680ced, 0xd8472569, 0x118d3941,
+    0xb2c3f262, 0x15bfb817, 0x708ffd6f, 0x096f636c, 0x60770882, 0x3783c423, 0xe678a14c, 0xd3eab4ce,
+    0x67e328dc, 0x6940576f, 0xc748bbb3, 0xe5629c92, 0xa0d84199, 0x876941d3, 0x1de9934f, 0xb6e6f86a,
+    0x103aa792, 0xef939f90, 0x0677d654, 0x51f65e17, 0x19610ac1, 0x317f7655, 0xdcc358c4, 0x2afb002b,
+    0x00ecc5f7, 0x93ea8e10, 0xc488b105, 0x6d4c5815, 0xc8093b93, 0xa621405c, 0x6f38ff56, 0x9e616bfc,
+    0x00000000,
+    0x4092cc99, 0x502402c9, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000087112285931760246646623899502532662132736 */
+  { 0x00000000,
+    0x513c20ba, 0xee5cdddb, 0x1e43aed2, 0xd1ec76b4, 0xeb024ae4, 0x4d8f1ebf, 0x97a9ccd9, 0x8eb34974,
+    0xa4e57e6d, 0x78b3bd50, 0x1044a333, 0x23301146, 0x6ef903bd, 0x9aedac38, 0xc60c15c4, 0xb7a332f2,
+    0x847a8c0f, 0x1d73f631, 0x623547e2, 0xdad82e0e, 0x6a9ef97d, 0x55320a01, 0x27b2fc69, 0x5c0f5b45,
+    0x4dfb695c, 0x15019a27, 0x623196f4, 0x8dcd4264, 0xb525709b, 0x6ef4b01d, 0xa0e6c043, 0xe5034b72,
+    0x16ee933b, 0x3615507e, 0x7e2af0b3, 0x700afaba, 0xe89492e1, 0x4abe01bd, 0x9d753da2, 0xc548b031,
+    0x17c98b67, 0x822a35f6, 0x5233b406, 0xd19c11da, 0xee17dd5e, 0x5f538a32, 0x71fe29d5, 0x6628531e,
+    0xfdcf6624, 0xfe461503, 0x923fccf5, 0xdf792d01, 0x7e51fa56, 0x8aa3a0d6, 0xb0586dea, 0xf5e3211a,
+    0x13580297, 0xfe6772f6, 0x4f4cf985, 0xfb2dfde4, 0xb608014d, 0x2178df8b, 0xd5df849a, 0xf01982cb,
+    0xab56ff15, 0x077be9d5, 0xb2c19ce4, 0xe9489bdf, 0x7e2a1830, 0x3962e030, 0xbf8c3661, 0x60eec44a,
+    0x43f4eda7, 0x3baf7462, 0x2af40d60, 0x4822632e, 0xf89eb036, 0x6ff7f6bf, 0x7f8e5ff8, 0xf365498c,
+    0x427c1596, 0x698f1b3f, 0xd2ac13a8, 0x9cdca4e7, 0x52fa865a, 0x64f51562, 0x7605c03f, 0x6dd26bb0,
+    0xd15a3750, 0x3e5ca40b, 0xb770ed01, 0x26d4e0ae, 0x61a52ddc, 0x4cbaa111, 0x6e174722, 0x1b5006dc,
+    0x4571f58e, 0x9eeaad37, 0x2d20857e, 0x2e8cdafe, 0xcf4a2dc4, 0xd319e165, 0x4ac3215d, 0x1c3cd8ba,
+    0x6bb6a2d0, 0x4df0d875, 0xea670525, 0xdeda00c7, 0x2732b97b, 0xa2599a2d, 0x63aeceb7, 0xf1d2b161,
+    0xd57433aa, 0xb18b0272, 0xe9a8e006, 0xeb28e318, 0x5abaf70f, 0x33eb7db4, 0x2036f590, 0xfd9f6acf,
+    0x4910d4fe, 0x95ca9aa0, 0x0b6fc4d1, 0xdcdcb625, 0x06760956, 0x15faa63f, 0xa1c83b70, 0x7286cf49,
+    0x5638213a, 0x34a4fe10, 0xa1c99031, 0xd829f7c7, 0x5887de9d, 0x0ec839c9, 0x005f7b1c, 0x8ea7b259,
+    0xe5cc8938, 0x39638150, 0x5d65ca92, 0xb17d2e43, 0xa12d4306, 0x76fea318, 0xa2402a47, 0x8562a5b9,
+    0x6fc51744, 0x529b669f, 0xe70e6309, 0xe608a6cd, 0xf0f67954, 0x2c233e06, 0xb48092fd, 0xd7eb5a65,
+    0xd3ea25de, 0x3818e102, 0xaf544a65, 0x971d677b, 0x8825248c, 0xeac24667, 0x8e9b90f5, 0x2bac3810,
+    0xab471c52, 0x2340dc71, 0x3af70a62, 0x02dfcfeb, 0x08524499, 0x1efb9e00, 0x7881f691, 0xcb3f7bd5,
+    0xe4df8579, 0x7cdaed67, 0x000fca5d, 0x82835980, 0x2ad70e0f, 0x4df58f81, 0xfffccbd1, 0xce85b40e,
+    0xa04af9c2, 0xd19e8b29, 0x40fd34c0, 0xfa3e37b5, 0x7b419847, 0xf66e357f, 0x65013ef6, 0x1a3a92b3,
+    0x72a227ca, 0x01b83d4b, 0x5691e902, 0xba409bff, 0xbb78cc6c, 0xeafa4562, 0xd9c15697, 0x381c880e,
+    0x2d171287, 0xe93525be, 0x313c269a, 0xd7edddff, 0x7f24b5a5, 0xb56b02d0, 0xc46515fd, 0x439a6124,
+    0x412c7830, 0x42e65e23, 0x453f9f30, 0xaa79a1e0, 0xc90d1114, 0x6d9d7af5, 0xa7eebfff, 0x8b4106f0,
+    0x7c9402b5, 0xccad1f2c, 0x8471c644, 0xf4b08d6e, 0x2fe5bf7c, 0x9e8fd620, 0x441d53ae, 0xdbecd68c,
+    0x753b2559, 0xa0a6e505, 0xe892ebb1, 0x022cc911, 0xf4c34c72, 0x664f7132, 0xd14a15de, 0x15708444,
+    0xfc1c1cb4, 0x1caab65a, 0xf54df2ad, 0xa120f382, 0x3cf7686e, 0xb1cf6b0f, 0x256e14f4, 0xb69e00e3,
+    0xad30f43d, 0x1fe218bb, 0x4623a651, 0xa5d79a17, 0x66bd7090, 0x7513f67c, 0xae9c93c0, 0xa1c047f7,
+    0x0005f24b, 0x714c7429, 0x1af51e0d, 0x59e48bf7, 0xbc7c879c, 0xb7b1019a, 0x3abfeff1, 0x86cfe68c,
+    0x582d8749, 0xa13138ff, 0x41d0776f, 0x46f1fd97, 0xf778a745, 0x978ec7d3, 0xfde40552, 0x04324d64,
+    0xb9e10714, 0xa4ac5783, 0x06807555, 0x0eb57a67, 0xad88d401, 0x0461c948, 0xf63d53d6, 0x244ec016,
+    0x521a718e, 0x46fbf575, 0xf8c53626, 0xb996644e, 0x500591eb, 0xb71aacf5, 0x974a43ab, 0x9790ef52,
+    0x15c325bd, 0xd7980e49, 0x4901c5fa, 0xc4f595ff, 0x91290b23, 0xca5ddacd, 0x32b54c32, 0x5fe8fcc5,
+    0x76f9b247, 0x53d9f250, 0x72dd826a, 0x9d5af1f8, 0x2bf938d4, 0x444d0927, 0x355f555b, 0x5cf172e6,
+    0x7fe63b65, 0xcaa23267, 0x0444b42f, 0xaccc30f8, 0xdd0abad6, 0x7e881397, 0x27e80808, 0x41e6264d,
+    0xec3f5bd8, 0x7c6b8689, 0x3270a24b, 0x3eb9679b, 0xeafa72fc, 0xde326bf8, 0x8ccc9773, 0x5100b1d7,
+    0x664c023e, 0x8f43c33c, 0xb429b9fd, 0x8d1915ed, 0xa2683f50, 0xb1eb0245, 0x97cfb0f4, 0x78505816,
+    0xb299762b, 0x69af8f4c, 0x8d00cf75, 0x04c0d1d6, 0xc8616ff8, 0x4267bffa, 0x4f2ac056, 0x655ecf95,
+    0x794a1e5b, 0xf0821007, 0xa077b891, 0x25f749c2, 0x8453e6b0, 0xc9cb1871, 0x32a32bbf, 0x94924ec8,
+    0x9cf796bd, 0x448bc9be, 0x414fb2e2, 0x6a68306f, 0x9f4e9ad2, 0xcf384c8d, 0x4f386186, 0x59a37ec3,
+    0x40a924dd, 0xbaacb060, 0x7b15ec63, 0x0cf7d339, 0x2f9e1ccb, 0xcd1ef3ac, 0x2645721d, 0xc11ed980,
+    0xdc5af791, 0x07425d78, 0x82ae507e, 0x25606d92, 0x8e05a35c, 0x460ddc3e, 0x71403ec7, 0xe65c7983,
+    0x31fd2a59, 0xcb3e7bda, 0xbc6d1460, 0xd6648bc9, 0x84725b59, 0x100b176d, 0x7b98a389, 0x9b2d0651,
+    0xb46feb98, 0xfd778013, 0x3d86a02a, 0x055f9818, 0x51aef1d5, 0x299476c7, 0xacc7af3f, 0x3cee1c8d,
+    0x899df401, 0x88479458, 0x7637dddf, 0xfb55aab2, 0xc9fa55ab, 0x9e393fbe, 0xd930ac0d, 0x0d37c101,
+    0x1511d48f, 0x5712b289, 0x7a64c6df, 0x32ecabad, 0xffdbc188, 0xc542a905, 0x119db270, 0x75b73d20,
+    0x980ccc0b, 0xefbee461, 0x36d2e60e, 0x348a7d69, 0x539fa218, 0x7260a3b7, 0x01a65426, 0x6eb9fa59,
+    0x876265c5, 0x2ba39f22, 0xfe7be3a6, 0x0e4f8589, 0xede70825, 0xce2a193f, 0x9e087935, 0xf9fb926d,
+    0xa0a8f202, 0x31f36847, 0x725362eb, 0x863cc103, 0x3f097bb5, 0xceccdf1b, 0x8bdf2359, 0xac302977,
+    0x9042a898, 0x8452a58a, 0x219d8395, 0x68a336b3, 0x7a94a1c9, 0xd66f6a33, 0x1574189a, 0x72e6b6fb,
+    0x6419546b, 0xf65e156b, 0x2a1620c9, 0x091eead8, 0xd53e51b8, 0x9c4d3c96, 0x0f92a931, 0x8e38a763,
+    0x8591104f, 0x807bb27b, 0xd6fa4036, 0x26a8f515, 0x8b8f94fc, 0x416b1bfe, 0x5c916360, 0xb407d180,
+    0x6ed65137, 0x3528e35b, 0x54ac250a, 0x1e1010c1, 0xcd5923c4, 0x5e8179d2, 0x88580711, 0x4e99839a,
+    0xaf176882, 0xa0265206, 0x98b94bac, 0x570640e9, 0xe1cc1afc, 0xe56151df, 0x9f71c5f8, 0x504e0bbd,
+    0x0607d452, 0xead7a241, 0xf2df9f07, 0x818fd5b8, 0xca36c81c, 0xadb6643e, 0xcac32acc, 0x09d682c5,
+    0x819eff1c, 0xf5dd85dd, 0x59810c2c, 0x7ced2f3f, 0x871fa658, 0x7ea1ca4c, 0x0a1bfd1a, 0xc60965ee,
+    0x165191f7, 0x50c88da7, 0xb3f11ad5, 0xe339a699, 0x3d9858ee, 0x83fb346e, 0xb5afc03c, 0xcef5da5b,
+    0x8304893c, 0x0c673be3, 0x8bc8b863, 0x6277150a, 0xdb2319ef, 0xa53ed388, 0xdb6a038f, 0xf618a927,
+    0xf66056d9, 0x6471d717, 0x75b42152, 0xffb6cd4a, 0x2df0eadc, 0x81fa78cd, 0xaa000768, 0xea0052e6,
+    0xadcd9d8f, 0x4a884b10, 0x65cb30db, 0xc504be63, 0x167a93f5, 0x6320c9fc, 0x307958aa, 0x96fecd0f,
+    0xf1b4f13e, 0xe9e4a03b, 0x7c57fd2b, 0x163a0eaa, 0x7a843a31, 0x4b3c6987, 0x793daaea, 0x4cd8eceb,
+    0x2b8049d7, 0xf2c7f4fe, 0xee2e0f42, 0x3e6d83cc, 0x17400658, 0xf65c1605, 0x5ea589f3, 0x5d803a45,
+    0x72f9da47, 0xbdb46e74, 0x650ef587, 0xd278b5fe, 0x6f6cf486, 0x13592a2e, 0x4787a1f3, 0x03fb0da3,
+    0xbaad197b, 0xdf9b8c48, 0x7e22a92d, 0x7158ad60, 0xb23090ff, 0x88d42abf, 0x7a500fc4, 0x1ca74afb,
+    0x0e8897cb, 0xb4da686e, 0x99d93189, 0x194b3021, 0x70efc878, 0x03d9b3a4, 0xc9eaacc4, 0x59608f07,
+    0x6fc64191, 0xf2ff71db, 0x601bb0c1, 0x0db09e3b, 0x10219f8b, 0x6be980cd, 0x9d8cfd31, 0x263e6e32,
+    0xd17b326e, 0xf6aabaec, 0x60da1546, 0x4a6e3258, 0xc3a48614, 0x35850a08, 0x71a08a38, 0x1eb93fb0,
+    0x359b2535, 0x2228110b, 0x3c828fe5, 0xc5899c53, 0xebbe2fb3, 0x953b4d20, 0x89acc467, 0x3b3a30d3,
+    0x29647fb5, 0x65417885, 0x76c2a75c, 0x080522b5, 0xc4043084, 0xad699927, 0x106ac4e7, 0xbb5ff7fc,
+    0x5d0da732, 0x74a704d9, 0xe12903d8, 0x10ab2c9b, 0x670151c8, 0xb80d04f5, 0xe77825c6, 0xa1078ece,
+    0xa1212887, 0x9b5261a4, 0xc4ba1916, 0xce663247, 0x480aa3ae, 0x948fba7c, 0x242019a8, 0x8ec2e1af,
+    0xa7acca50, 0xa4b7b5d9, 0xe618064e, 0x831c3ddc, 0xbbd2fe03, 0x57d06290, 0xb811fc35, 0x79595dde,
+    0x0afd18e4, 0xd4c3e619, 0xf649a97a, 0xeed3c59e, 0x971b48fa, 0x5c63fa02, 0x38202785, 0x50a34d76,
+    0x8645c557, 0x76975f28, 0x94ded895, 0x6bf147e9, 0xd7078e52, 0xfb42c1c7, 0xd49f69a5, 0x87ae9199,
+    0x1840ba30, 0x2dcd43d3, 0xac4f69e2, 0x9b32b1de, 0xfcff10a6, 0xe4b722c9, 0x3e17ffdf, 0x4a3dea03,
+    0xce9b6397, 0x5ca06606, 0x0b7f97bb, 0x8103f0f3, 0x9f43d55c, 0x04ea5b79, 0xeb9e7bf7, 0x57eae258,
+    0x4a0be634, 0xd03b369e, 0x1230eead, 0x0832ef26, 0xd3841502, 0x72e1655d, 0x7e487d1d, 0xaaa0990a,
+    0xfd45f4e8, 0xeacf2b05, 0x703bfa90, 0x98f3a1a1, 0x795d960f, 0xd4bc6f8d, 0xf8f46815, 0x3cf5f39e,
+    0xa543a036, 0x280795b4, 0xd75f763d, 0x2ee8f6b4, 0x1f356374, 0x6635f396, 0x3575c181, 0x51b85cda,
+    0x69d3301d, 0xa7c7cda9, 0xc0ecc586, 0xda2c33e5, 0xb7bd2b6b, 0xb355c552, 0x3b35936c, 0xd8a3d015,
+    0xc741ea2e, 0xfcf44fe3, 0xbcfe9a5c, 0x63294af5, 0xb439cbb5, 0x460de7e1, 0xa597d1e5, 0x4c8ce3b9,
+    0x529d82f7, 0x01b11837, 0xe98eb457, 0x97873ffa, 0x39cb5a7f, 0xaac3c420, 0xe2241407, 0x89d16787,
+    0xf84442e0, 0xa848168f, 0x1898628b, 0xc48c684a, 0x1f7cc203, 0x6c59d2ab, 0x2624065b, 0x1f1891db,
+    0xde603123, 0x87b7f31a, 0x83be4847, 0xd63d25a5, 0x91c00147, 0x6eaee456, 0xcfd93e6b, 0xcd4e84b7,
+    0x6e560883, 0xaa912f84, 0xa20ce2b8, 0x513a46cf, 0x5e19c3bd, 0x1c9be346, 0x886f3707, 0x837d8747,
+    0xaef32e0c, 0xbb242172, 0x6ae35e42, 0x78b6f82e, 0xaaec3607, 0x44896a80, 0x8d0faf15, 0x7125f562,
+    0x95b654c5, 0x2aab6987, 0x381744c5, 0x93379f33, 0x67b68433, 0xafccc3e3, 0x40d46388, 0x90e9f3f8,
+    0xd2f6ea60, 0x2bc70a80, 0x823afcd6, 0x9133dd4c, 0x021f7419, 0x1abe3cee, 0x981be5a3, 0x30a457bf,
+    0x78469d77, 0x59c73518, 0xe4ade303, 0x0636ab68, 0x2be676bc, 0x3d480055, 0x533ad591, 0x0f3b5f7f,
+    0x6a079942, 0xec1d690e, 0x64fe319c, 0xebd9fb2a, 0x40b487f1, 0x6126d951, 0xb7dd3f2e, 0xac51e2d7,
+    0xeee12de3, 0xbd908de3, 0x304d1d53, 0x43d21056, 0xfd6b5fe4, 0x864cff11, 0x15bc5821, 0x0608bfb9,
+    0x305edb65, 0x4d68127f, 0x2c065657, 0xaceff931, 0x6218cabf, 0x6fe21bd0, 0xe19df1b8, 0xaa123055,
+    0xd5520e85, 0x879e534b, 0x03a3f943, 0xb679066e, 0xfb8c50bf, 0x378de292, 0x176317b8, 0x27f4d82b,
+    0xcc30ce10, 0x5583e02c, 0x48d26ef5, 0x6399ee03, 0xfde840ac, 0x526e76d4, 0x252ecdd8, 0xa01b7028,
+    0x167c218c, 0x4adce32b, 0x41766e37, 0xb56e2c17, 0xcf5f0187, 0x44096f02, 0x0f5bdc94, 0xfe31d4ef,
+    0x585b603d, 0x3905633e, 0xfe41444b, 0xf80d06c9, 0x6cce6f5a, 0xb9d61284, 0x2db3fa53, 0x6fa28ae4,
+    0x30c8d40d, 0x5e262949, 0xec27b0cd, 0xad832b33, 0x9078d6bc, 0x9bdd856c, 0xdaba6f62, 0xadf0b56c,
+    0x81ee1f6d, 0x0cf980a5, 0x9aa4b0bb, 0x1aea6e29, 0x0cfc964c, 0xc763d800, 0x73ba82ea, 0xa1fec66a,
+    0x0535cb2e, 0x8ee81285, 0x6945b9a3, 0x4cc598b3, 0x16bbe2e4, 0xcef3fd0a, 0xb54b696a, 0xc59f3445,
+    0xc2f29049, 0xa723ff5e, 0xdec3aa72, 0x9e64b876, 0x035fbeaa, 0x12f2e62c, 0xab787ccb, 0x49e2da93,
+    0xfe00ba8c, 0x4a8f741c, 0x8427afa4, 0xd225be36, 0x81b7d1b2, 0xb90352fb, 0xd8bfff30, 0x3f5066c2,
+    0x373bc932, 0x7066229e, 0x0ba0af67, 0x3e5c88db, 0xb3fde6a8, 0xf48e1755, 0xb2e72662, 0xa1be7e0c,
+    0x2fc58976, 0x7eacc957, 0x975731a5, 0x8cef3651, 0xe6357cba, 0x2ec5cbb3, 0xca9ab9cc, 0x92053c60,
+    0xf5c2167d, 0x9effe566, 0x35144a01, 0xcbbb89e8, 0x1e2cce2b, 0xa73ba3bf, 0x32305b35, 0x4e12e91e,
+    0xf2631f62, 0x260bcb7a, 0x6ec459b9, 0x48d074c1, 0x5f9e4203, 0x580e4813, 0xb2ff8950, 0x075173a5,
+    0x178f5af2, 0x708b302b, 0xa96cf605, 0x2ade1cd2, 0x85278f58, 0xf8f79882, 0x42e9e92d, 0x9e636118,
+    0x6df6d1f9, 0xbe84dbde, 0x067a4e9e, 0x13c6e019, 0x89e3aee7, 0x550a9a0e, 0x7ead9f91, 0x7bdf874f,
+    0x54e6bb51, 0x05b4f3c6, 0x97edc371, 0x16192d4d, 0x1155df7f, 0x1d25abaa, 0x80c1a46a, 0xde76ff7c,
+    0xf8ff31cc, 0xc0fa9828, 0xbbb4c4b6, 0xf4d75ad8, 0xaff5cf6a, 0x969ccd0a, 0x6b79f680, 0x54374a89,
+    0x27a264f8, 0x1306dc9a, 0x0b9e607b, 0x1efad17f, 0x3be09f02, 0x8cf7aa96, 0x9ac51068, 0xc8f235f7,
+    0xd793238d, 0xca808d83, 0x08c37594, 0x15d031f3, 0x3bd1a0b7, 0x8d6b7504, 0x5db946e3, 0x04e37c8c,
+    0x46a75fa6, 0x380da227, 0xe779d972, 0x6f7ae052, 0x7cdb9f6e, 0x5bd5320d, 0x4f0008f8, 0x50d496a0,
+    0x4541b50a, 0x0a159461, 0x839b5f72, 0xbaab0d4a, 0x6e25164c, 0x4bea480e, 0xd67aadfc, 0xa3c7523b,
+    0x30c476b3, 0x70bc1b72, 0xa82c0aab, 0x886610db, 0x964efe92, 0xc15449ad, 0x4faed351, 0xd6981e11,
+    0x6da2f726, 0xac63a586, 0xfd2385c1, 0x2d0eb5b6, 0x01651231, 0xe0ed5288, 0xb7c81681, 0x012d60e4,
+    0x958a7609, 0xda0ce5fc, 0x15aa4f95, 0x51a7f169, 0xa99af12d, 0x00059e58, 0xa0e985ea, 0x3f0d14c5,
+    0x5e3ab8dd, 0x3a289112, 0x115de760, 0x41b29aa7, 0xccb15ffb, 0xfa33b267, 0x3ff56945, 0x4de579e1,
+    0xae5236fc, 0x437628dc, 0xa5fa7652, 0x233dfefc, 0xb80a6094, 0x9265e06f, 0x4eb27cff, 0x9a0b1d78,
+    0x235d4b65, 0xcd5b000c, 0x19524192, 0x00da0200, 0x96683466, 0x5c7f198a, 0x2a5f3bc1, 0x239cf9a4,
+    0x1a15d09f, 0x573c4a16, 0x3ce39c12, 0x5b4c28d7, 0x8c368dc8, 0x2f423260, 0xb7be0d0c, 0xb4b1b749,
+    0x66874ec7, 0x36729888, 0x4153bd3f, 0xdf356d28, 0x0523cb80, 0x1d4f94b6, 0x73056f78, 0xca86092c,
+    0x23df118a, 0xec18ec5c, 0xf554b83d, 0x0d2313b0, 0x2b6622d3, 0x1a27df18, 0x41e7f5c3, 0x6cdb8eef,
+    0xbde47b1e, 0x5fbbfb8c, 0x8ff5e6d8, 0x1b382675, 0x5011492c, 0x8946ac36, 0xa408c6ec, 0xaeea417f,
+    0x64ce3525, 0x315d20dd, 0x0a2090b1, 0xebcdabbb, 0x0c7ac8de, 0x2aedce23, 0x3fa716ae, 0x8e61dc78,
+    0x00000000,
+    0xa049664c, 0xa8120164, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000043556142965880123323311949751266331066368 */
+  { 0x00000000,
+    0x9af47ed3, 0x75d8261c, 0x50e56e7b, 0x0c2045fd, 0xa3eb7825, 0x9803cf6a, 0xb00207a0, 0x365813c6,
+    0x7faa8498, 0x58e32de8, 0x59680998, 0x2b7f5e1b, 0x9062fe56, 0x80583f56, 0xf8c29cf4, 0x268ebbf5,
+    0x4b86d0d0, 0x389b5d50, 0xbaabd52d, 0x28ed3f58, 0x804d9c08, 0xd2973a86, 0xa2408885, 0x57e13ba5,
+    0xb00fc8d9, 0xcc4fc599, 0x63c424cc, 0x4ace864a, 0x35142b5e, 0x0d3cf3d1, 0xf5fcad65, 0xe2530038,
+    0x2d44988a, 0x8560ffd1, 0x7f67644a, 0x26031ca7, 0xa7088b39, 0xe81b8f34, 0x4878a5b8, 0xb1317a8d,
+    0x34499835, 0x22497a5d, 0x311d8e1b, 0xd7979c07, 0x36dd0cd4, 0xa2e2e0bf, 0xe58015dc, 0xdc859462,
+    0x2cb2ffbf, 0xe2fbc9b1, 0x90c2e929, 0x6db7c2ba, 0xb016ee0d, 0x76809284, 0xe6e58cb5, 0xa1e91219,
+    0xf0f9bdf1, 0x67712d56, 0x2d51fe27, 0xcf1de601, 0x5d48cc6b, 0x624505e9, 0x94b0e213, 0x34751319,
+    0x79f2815e, 0xe3c11f01, 0x1e43befb, 0x7226039e, 0xb32fdc88, 0xffc4ab80, 0x99d6d010, 0xefa781c0,
+    0x497fa615, 0xaff50251, 0xf72a8c36, 0xf0caaeb5, 0x61d9e5c7, 0x860601a8, 0xf1fc71c6, 0xaf179448,
+    0xeee1aa8e, 0xde4a5917, 0xedb1474a, 0xe68cfedf, 0x7d776bc0, 0x25862de0, 0x30a4df3f, 0xe74e3bfb,
+    0xa7068dd6, 0xbbba8248, 0xca3e6e0c, 0xc9182b52, 0x44a7f3b9, 0xa4b5cd77, 0x1b6c2e79, 0xb790d37a,
+    0x094b271c, 0x90005cc5, 0xa84dd6de, 0xc0d09fca, 0x03772cbe, 0x5829130c, 0x50c87a27, 0x929a4581,
+    0xf4f8d013, 0x79ada42e, 0xe0b2b015, 0x73a48e35, 0x5fd8c30b, 0xdd7f2d43, 0x74d98206, 0x5eab7935,
+    0x2c27b405, 0xf1643fe4, 0xa1367e50, 0x1d5d6c09, 0x803e3b16, 0xe716440f, 0x964575c9, 0xbdeb74ad,
+    0x1ff21f69, 0xe8e4d873, 0xd4446e90, 0xf83452fc, 0x10e0d68b, 0xa13edf66, 0xdac0b37c, 0x47e0829f,
+    0xc969a424, 0x86d46e96, 0x4156756b, 0xd6d4f05a, 0x2c7d2347, 0xfcd68a3a, 0x2f350db6, 0xf6333383,
+    0xfd8dd2b5, 0x87dda680, 0xa8bf3edf, 0x9bc21bd8, 0xff058a08, 0x87b6c9df, 0x91270565, 0xf1b7129a,
+    0x925931f6, 0xcb08bf70, 0xd6b7570e, 0x93f6d622, 0x93de3700, 0x78a7e7d2, 0xd6d6fc64, 0x4668c21f,
+    0x96744307, 0x469cd3e0, 0x49abd2be, 0x5a038ab5, 0x17b9db97, 0xab650657, 0x78560c9f, 0x0ab176ad,
+    0x2fbef8a9, 0xcaf685a6, 0xe2bfcd5a, 0x3e62985d, 0xf8f0bea2, 0x9fa46bf8, 0xbf06519c, 0x02130651,
+    0x97c90bb7, 0x7851e9c4, 0x4f339d96, 0x9f90df97, 0xdbbdb236, 0x020456fe, 0x28345d27, 0x8b716d11,
+    0x0666dde7, 0xb9e72bc8, 0x9d400d65, 0xdcb94fea, 0x6dfa2e07, 0x8dc5d2ca, 0x04cf497f, 0xf06b2277,
+    0x5e23246d, 0x2631a324, 0x8ad0de2a, 0xabef346b, 0x0d2e4ff0, 0x89e99c50, 0xf71eca5d, 0x6f1da99a,
+    0xeba0470b, 0x0384b940, 0x87fe116d, 0x1a347fff, 0x40fa228c, 0x76e8430e, 0x338f2809, 0x21ff11fc,
+    0xf913d0b2, 0xa58f7111, 0x2331f987, 0xdd12e04e, 0x7ee7e0b1, 0x2249e280, 0xf7990ac4, 0xdd612fb9,
+    0x698c2fdb, 0x98615f64, 0x949538e9, 0x42a18802, 0xbd4208be, 0x07ebd8dc, 0x180d7775, 0xd171630a,
+    0xf1c2e326, 0x6a25fd74, 0x550d1633, 0x3bc19df9, 0x33cb78bc, 0xcc813dfa, 0x9a432c31, 0xf42d0d81,
+    0x0946a34a, 0xc4e43346, 0xdd0a91ed, 0x7a3ee126, 0xb0e0bfe9, 0x184bdd24, 0x97f85feb, 0x5eb6bcea,
+    0x2ca07628, 0x829378dc, 0x1c9b5a51, 0xd07e427c, 0x8e8e98fa, 0x64768ace, 0x390f7545, 0x1095c822,
+    0x54e29cc3, 0x217bf66a, 0x4cc2c9ff, 0x40f48e15, 0x2fe4ec7a, 0x5c6470bf, 0x909e927d, 0x70a13a9f,
+    0x5b3fbb89, 0xf20dbfc4, 0x3b896b2d, 0x72ed2445, 0xec6181be, 0xb07345fa, 0x6be70e40, 0xe24758d2,
+    0xe198a2ea, 0x032e594a, 0x5604f5f5, 0xf3ddb24b, 0x1be765fe, 0xa5d6a516, 0xd5b50a5e, 0xe8663770,
+    0x2fd1c59d, 0xb9cb5f43, 0x0e5bb811, 0xf5e0f591, 0xd7e64a34, 0x5bb3b2cc, 0x5e7b6851, 0x11052b79,
+    0xe35c761b, 0x18d642ab, 0xa6e0646c, 0x0c0caf4c, 0x66ca8fcd, 0x96db3ca6, 0x029a81b0, 0x3bc91bf3,
+    0x872590f8, 0xb56b70f3, 0x2fd75589, 0x525a6b26, 0xf0beef8b, 0xefc95448, 0xc80f602a, 0xe5655ed1,
+    0x0faa8fcc, 0x3c07e7a9, 0x472f3348, 0xaf5cc617, 0xbef4dfab, 0x3b8ac2c2, 0x833a692c, 0xddcb03cc,
+    0x7bb0f889, 0xfc13be7d, 0x3572a62a, 0x1ae4293e, 0xd390d479, 0x0666e23c, 0x97670fd9, 0x9455da9c,
+    0xa94ff872, 0x32a65cb9, 0xb3d62aa1, 0x3912792a, 0xb15102fa, 0xdfb20cdc, 0x3bba1aef, 0xe8c5c918,
+    0x741e621f, 0xaae58b23, 0x107a0785, 0xde332802, 0x45abc91a, 0x65a27a12, 0x0a3e5a22, 0x45009534,
+    0xcf320038, 0x675bdf74, 0x21d7bb66, 0xd37c8365, 0xcbcf5108, 0x6919d4fc, 0x884ec2f1, 0xfbb8dff6,
+    0xb28930d4, 0x0aacae3c, 0xc75a5d75, 0xfd05b556, 0xd8100f18, 0xbebb93b8, 0x7e81af6d, 0xc1e901ee,
+    0xac865e6f, 0x559f5b7e, 0x47f60044, 0xa2f6aa01, 0x486ac836, 0x426a2190, 0xb1b83343, 0x23119906,
+    0x5ba2ff24, 0x44d3551a, 0x5d77e746, 0x75ad6252, 0xd6079ab5, 0x278ab6cb, 0xbf3035f0, 0x65c7f459,
+    0x365d610b, 0x37aa08c4, 0x0515de10, 0x3ae5e37b, 0x0472cba4, 0xc1b206e3, 0x6a602509, 0x3e429d9f,
+    0xa09b5769, 0x4c3745c4, 0x4458cba5, 0x997c0159, 0xdf3a59c2, 0x303ae41a, 0x2b38bba0, 0xed81b46c,
+    0x4c1d9c3e, 0x8b97063a, 0x230233e7, 0x99b9134b, 0xde08eba3, 0xff32005d, 0xa4181e61, 0xacb635dc,
+    0x205ee0f4, 0x8c62dc6e, 0xae18fbd0, 0x7678c868, 0x4d29a341, 0xa6fc864e, 0x73bc3290, 0xbccd5470,
+    0x0dfaaa07, 0xea9a7443, 0x14da79f2, 0x2a94f785, 0x10993688, 0x4957d00c, 0xadefb9d5, 0x0b7b83c4,
+    0x29acc20e, 0xd2b7c99b, 0xb8e68255, 0xbf0dbf4a, 0x709b504b, 0x2835364e, 0x3fe1e662, 0x03204c96,
+    0x6afc433e, 0x9a93bdd6, 0x65cb1c23, 0x446cf365, 0x9422d2d5, 0xb92f2c25, 0xf69f7a73, 0xda821afa,
+    0x1b199ebd, 0x561b2415, 0xf9868fa9, 0x0a3add6d, 0xfce64b6e, 0xf16246ee, 0x0dc89b05, 0xad6055b0,
+    0x3c6148f7, 0x62ed52ce, 0xc1acef8d, 0xe6ac613a, 0xf8aed26a, 0x1203413d, 0x9d5ecfe6, 0xc77bf962,
+    0x3d57b3ff, 0x114e814b, 0x3fa69bf2, 0x7afa54f3, 0xd7563646, 0x541b3781, 0xfedcffa5, 0x9ebb7983,
+    0xf7ab5e67, 0x0456b54d, 0xe1fbf1a4, 0x23157478, 0x68fd19b8, 0x23048198, 0x3025f910, 0x688ecb72,
+    0x794498ec, 0xcc077030, 0x13e5bad7, 0xb8fc3a8b, 0xfe01c4fe, 0x710227bb, 0x0298fa13, 0xd245c5e2,
+    0xc4641ed6, 0xd361b94f, 0xccbb8c85, 0x1cd42c0c, 0x685fbcaa, 0xe0752df1, 0x39da12be, 0xce16d3a9,
+    0x19baf2fe, 0x553dc466, 0xccf478c3, 0xd78ea433, 0xba51cbd4, 0x6500eac2, 0xda2d8e0a, 0x08e7fbee,
+    0x70a7dc81, 0xe873cce5, 0xb70cf532, 0x0621abea, 0x0d940610, 0xe54b2f1f, 0x8f73a2f8, 0xfd1e7f50,
+    0x3ba48662, 0x1f9df48b, 0xb38e6e68, 0x8457ad0b, 0x2ffce92b, 0x152b2785, 0xa5d2ba2d, 0x7cc72a34,
+    0xda3e404a, 0x00078117, 0xc0627329, 0x0e23cd27, 0x9ed8f9c8, 0x1af57dda, 0x48e4591a, 0x575842a6,
+    0xb8508594, 0x7bfd55ae, 0x88e0de2b, 0x75e95112, 0xc5101932, 0xd1b62fbb, 0xdf1eb20a, 0xbba524ba,
+    0x670a2562, 0x01690714, 0x6a11d064, 0xb80a3e24, 0x6bfdb820, 0x768a6561, 0x3253e579, 0xfea466c7,
+    0x1f8f371a, 0xc25e319b, 0x1586ab2b, 0x2746a8e8, 0xbc55e382, 0xf434cd7d, 0x445d32ec, 0x81972e17,
+    0x38592e1c, 0xbe1dfd25, 0x6fed5584, 0x358a811b, 0xee3a415c, 0x4246ce07, 0x44ace090, 0x3fc83906,
+    0x612fff35, 0x52447e90, 0xafbb7364, 0x24a8089b, 0x9f7c9466, 0x65ac7a09, 0x32cd8fdb, 0xef345b7d,
+    0x84499e7d, 0xa73f4a7b, 0xe588fefd, 0xaaccd4e3, 0xfde13973, 0xc9fd7e76, 0xb5bdd755, 0xc0cb7b08,
+    0x37e171aa, 0xffaa5ea7, 0x9006065a, 0x6cda1106, 0x93bdca62, 0xb374560f, 0xbde694eb, 0x8d0f1baf,
+    0x5e839a3a, 0x98387e21, 0x967cd418, 0x7ba957c4, 0x753a8133, 0xc8dab10a, 0xfa58c7d3, 0xeaeaa373,
+    0x32e724db, 0x489d7efc, 0xad4056e0, 0xa3a5346e, 0x581e3217, 0x437d2d40, 0x67ddae8b, 0xe9fb70a2,
+    0xe533ca2c, 0x0c718472, 0x5b5d1726, 0xa888d1ed, 0x76da4c7c, 0xac1bd093, 0xcd27be12, 0xc1565cd7,
+    0xca394d13, 0xa34f04c5, 0xb80321f0, 0xc8d4b8ff, 0x5843c477, 0xc0c9edd9, 0xdb28a9c9, 0x0772260e,
+    0xdca5d66a, 0xfe918657, 0x82235743, 0xf18145fb, 0xb1f2868e, 0x937627ff, 0x4dda2a81, 0x853c9f0c,
+    0xbeb96d5e, 0xc2906cbd, 0xba88bfba, 0xcd17638e, 0x21fcc206, 0xfdfaaf42, 0x084b9131, 0xf8edf920,
+    0xf4bced4f, 0xbebf5f2c, 0xf655d4a3, 0x6a7f8a8e, 0x18af35b4, 0xcf16e4a9, 0xeb93df37, 0xd194f192,
+    0xbd911304, 0xa6543445, 0x63c7c81f, 0x304a2348, 0x8a528942, 0x692897ef, 0xfeec70e9, 0x7212377f,
+    0xdcdfb179, 0xf05372f8, 0x8043d6fe, 0xd1ed562d, 0x0fe4864d, 0xcd079417, 0x21d48b66, 0x65d16e40,
+    0x3c9b132f, 0x6dcb857c, 0xe1446c16, 0x9eda1e5b, 0x7178be07, 0xeef3e580, 0xe201f024, 0x0acb9526,
+    0xa942d20b, 0x8d0055b6, 0x3c42b315, 0x2de34107, 0x4cceefc1, 0x4dd17072, 0x09f3d20f, 0x07db5c07,
+    0x64355fba, 0x6d0b08d3, 0x97107101, 0x4034de3d, 0x28d84773, 0x10d978a5, 0x0cae9fa5, 0x005d1b72,
+    0x1e035e3a, 0x3db55b1a, 0x8a892789, 0xeb0311d9, 0xf72cc56a, 0x147d848e, 0x500d53ea, 0x9526bb4b,
+    0x8edad538, 0xeb484371, 0xe14a12a9, 0xe2df0c89, 0x6ffe6953, 0x1c976423, 0xc7d29a9f, 0xe6333da2,
+    0x62de0ed9, 0x07654396, 0xb4bbcae0, 0x23d3fbe9, 0x1bc69ded, 0x3f561963, 0x91b20da8, 0x97a6bcc7,
+    0x1cfac8db, 0x2ed98430, 0x9df65a40, 0x81657dd0, 0x7a3534ca, 0x098a92f8, 0xac217702, 0x95342c38,
+    0xc5f26d56, 0x32bfe47f, 0xa56508e6, 0x59c8e8af, 0x36060d82, 0x8b2a1beb, 0x43456583, 0xcbdbeb95,
+    0xfbdfc859, 0xdee28e99, 0x8be39ad7, 0xdf41c4f6, 0x2c91176d, 0x79de8322, 0x5136ce49, 0xe9124697,
+    0x0e1c0229, 0x7061c16e, 0x336eefde, 0xeed1c241, 0x47b56ed1, 0xcd75952f, 0xb95ade86, 0x0b94cb22,
+    0x8ccd8b80, 0x9e76d9b8, 0x430be397, 0x7ca0f833, 0x71298aa0, 0x6018b0b4, 0x7546d88f, 0xc6528fb4,
+    0xfa598382, 0x6fc0afaf, 0xdc0947f8, 0x55655566, 0x308f81e4, 0xcfde5ee0, 0x664c0458, 0xff585c5a,
+    0x450f7fc6, 0xc593cea1, 0xe652dbc3, 0x6695420e, 0x237f2110, 0x759f5db9, 0x73bbda04, 0xdeba3032,
+    0xf562e16a, 0xa3747e03, 0x3ede2b88, 0xd6a2b0fa, 0x8f377c0e, 0x9022c8b7, 0xede39ef9, 0x8bb2b2d6,
+    0xd8aea065, 0x80db1657, 0xc6988969, 0x219b1a66, 0xc2e930f1, 0xa7942031, 0x8932db22, 0x929534dc,
+    0xdec98ac6, 0xf36da47d, 0xad48bcc0, 0xd4b59718, 0xc12fa9b8, 0x768f8468, 0xce364696, 0x827e647d,
+    0xdc406060, 0x796f3fdc, 0xc75f3d4a, 0xa7fe2120, 0x8ab78408, 0x77a8c547, 0xb15be626, 0x59c3d1df,
+    0x3ba73740, 0x65a33364, 0x4481c816, 0xf1c553f6, 0xf6f3d528, 0xcdaf8c7c, 0xa2567978, 0x710631ea,
+    0x4c7ae35b, 0x86a65d7e, 0x361a4704, 0xd9bb276f, 0x30da2e8a, 0xbdd88988, 0xd8775054, 0xc1ff3d55,
+    0x7d39d741, 0xfecc19e1, 0x88d368ac, 0x98d3efc6, 0xa7c5b08c, 0x9461b521, 0x1d8edbbf, 0x7166c445,
+    0x9dd26f2c, 0x5dd37668, 0xc8cf6263, 0x8671610e, 0x17f5baf7, 0x1a5d8fe8, 0xf8336099, 0xe0c05df9,
+    0xce156445, 0x01810042, 0x24efa156, 0x20b9c189, 0x730f2f33, 0xecc6834c, 0xe9245852, 0xb2763c31,
+    0x71fae53f, 0x9b624059, 0xa24d9c79, 0xca95dc88, 0x0af2ab86, 0x8597f754, 0x2dffd720, 0xc8907f38,
+    0xe0eb3cde, 0x09536b8d, 0x772bf99b, 0x8cd4e96f, 0x466a25b6, 0x50f95043, 0xc40bb498, 0x46b427a2,
+    0x90ec8be8, 0x358697ef, 0xf12c6fe0, 0x8d6f99c4, 0xc2dcc79f, 0x569a1358, 0xd6448aa3, 0xd52b676a,
+    0x5fd2db5c, 0xe10c333b, 0x815cc077, 0x187c80e1, 0x1e3d5151, 0xd9def293, 0x78e9b766, 0xb441818e,
+    0xa0c2c871, 0xb01b4146, 0xadc3b610, 0x7e7d4f6d, 0xfe075139, 0x0476f435, 0x6ba98ffe, 0xa02e0753,
+    0x36c5564c, 0xdaeb0e18, 0xc4851d64, 0x35f63948, 0xd9d93cb3, 0xfc731904, 0x8d1ccdd9, 0x09c2c8c4,
+    0x398f97b3, 0x79048587, 0x38b79202, 0x715102c1, 0x2d547a2a, 0x521d7e82, 0x4a330b01, 0x494f70cf,
+    0xe77bc6d5, 0x737dac78, 0xfbae1a21, 0xffba60c3, 0xf7e5f28a, 0x8701d53a, 0x64e4f2cc, 0x13924a42,
+    0x689eedc2, 0x50372c87, 0x2c1d55d3, 0xa3346f51, 0xdf48d6c4, 0xd95fef2d, 0x989ba9d6, 0xe4e5506a,
+    0xb1168869, 0x322e370a, 0x943a6eb1, 0xd20ab4bc, 0x9c21e8ff, 0x47075112, 0xbf884164, 0x089fcb29,
+    0xce1134db, 0xd61f50d3, 0x15860de6, 0x83894064, 0xbe5ffc23, 0xb0e4f45e, 0x507478f9, 0x2eb15f88,
+    0x17d5b680, 0xec2ae330, 0xf0871211, 0xbcad79c6, 0x59eb68f2, 0x3e7f2fc4, 0x6bcddef4, 0xa0442445,
+    0x04188a9a, 0xa927f9f0, 0x7af38cbf, 0xdf09ec9d, 0xb8933e18, 0xd0f0aafc, 0x6f9e7a7f, 0xa0dd0a13,
+    0x949ca1b9, 0x3da0ced6, 0xa48396b6, 0xcdf23ca4, 0xa8a7d6d3, 0xfd04ce7f, 0x65093ec2, 0x5c079b2a,
+    0xff3abc30, 0xb2d8bb6b, 0xd8960de4, 0x24b655fb, 0x1e3a9fd1, 0xf6701695, 0xa5486d1b, 0x413602ad,
+    0x9d56be99, 0xf99ff114, 0x4aef2d91, 0x4f6891aa, 0x0d3d8962, 0xfff3e4c7, 0xda5d6748, 0xcefc816f,
+    0xae7eaecc, 0x69f52f9d, 0x507feaff, 0x2a319d8c, 0x241504e0, 0x5441183a, 0x88e77274, 0x2b37a73b,
+    0xe837e8d2, 0x7f0ccda0, 0x0fea487a, 0xb2008913, 0x0233d1c4, 0x0de53940, 0x861c14a0, 0xa9eecd43,
+    0x28b39481, 0x86e51c7c, 0x02439f46, 0x63b730a3, 0xb63f609e, 0x45c47452, 0xe7b3ba78, 0x59404603,
+    0x8112c279, 0x4a57e335, 0xef688e94, 0x9e6b3f9d, 0x99587d82, 0x3dfeab93, 0xbbd7c077, 0x04869e84,
+    0x2d9284ae, 0xcccd8421, 0x3d443609, 0xfe22df62, 0xc5d4d2b4, 0x06c09a71, 0xa46788b9, 0xc2597d24,
+    0x1c441243, 0x59000140, 0x93744a79, 0xab3202fc, 0xfb0fdbb5, 0xbd9af652, 0x764e26aa, 0x7f16a541,
+    0x9850db62, 0xb2d1a143, 0x6ca267a1, 0xf17972a0, 0x5ff7b262, 0xa488e1e9, 0xe0670289, 0x7fce085c,
+    0x66a2a484, 0xee25e191, 0xeb284fa8, 0xc7767a1d, 0xbf852fe0, 0xca208aa7, 0x2f5fbfc4, 0xc5c53da5,
+    0x79f4e5e9, 0xfc5ec6e7, 0x2b6c2afb, 0x550adfd5, 0xbacaacde, 0xdb9fc21f, 0x8eaa9310, 0xaef037b8,
+    0x02792bf7, 0x8a8833fb, 0xd46d1842, 0xf4b1d91b, 0x6939c786, 0xdb1346d8, 0x74a37745, 0x6d237527,
+    0xbedb9501, 0x0fe3c8f6, 0x7030c441, 0xe636a292, 0x71fe4125, 0x1827a9a4, 0xa39b588c, 0xbeeb20ae,
+    0x00000000,
+    0x5024b325, 0xd40900b2, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000021778071482940061661655974875633165533184 */
+  { 0x00000000,
+    0x66121c5a, 0xb5313932, 0x10843092, 0x786fbeb6, 0x7166a64b, 0xff41d9d5, 0x152296ff, 0x4f086d1b,
+    0x02852d1d, 0xeba6ec91, 0x2688b9b9, 0x9c1d822a, 0x5595396b, 0x3ad9c72c, 0x3ce74869, 0xe83c2879,
+    0xd670a895, 0x15a9e7c3, 0xce53c9c7, 0x8aa818ec, 0xd509a480, 0xaf90f105, 0x55a477dc, 0x4698a837,
+    0xd54d100a, 0xcf096b90, 0x2d6c68d2, 0x2258295f, 0xba6877bb, 0x3e101ee0, 0xafd0df59, 0x0ff469c0,
+    0x224b0a47, 0x6bd4e974, 0x6f00988c, 0x4e655969, 0x38173039, 0x89746a63, 0x0d9e7aa3, 0x268a865c,
+    0x4b1a01f1, 0xe7051bf9, 0x7a592a7f, 0x51a7b420, 0xa270d7da, 0xdfc6b3d3, 0xd5b6fba1, 0x9365097e,
+    0xe17c1493, 0x3e8a2fed, 0x0bc9bd42, 0x5f9152d2, 0xb3402849, 0x0a911bc2, 0xeaa72a19, 0x2f23b6de,
+    0x00d79857, 0xcd44533e, 0xfd8940c3, 0xfe5abb50, 0x2ef30b62, 0xeb314074, 0x5068b597, 0x29624cc4,
+    0xdf8a2521, 0x13b71549, 0x7d230998, 0x56a86c0f, 0xe72d1983, 0x076fbd57, 0xe0faf168, 0x26dba80f,
+    0xe4c40b3f, 0x0c1204b3, 0x34ce61ec, 0x5d3cd076, 0xa482560b, 0xfff9d578, 0xc099f2c9, 0x66b9e4d2,
+    0xf701d97f, 0x5698b17d, 0xb83346da, 0xbc6ef6ef, 0xc6d80d59, 0x0f52e57f, 0x9ed093bd, 0x1eb088d5,
+    0xf7282af4, 0xac6b9517, 0x6d5de4a1, 0x95c4bc41, 0x5659fb37, 0x8c5b5f7e, 0x537b6e9a, 0x00735a9c,
+    0x0edc5be8, 0x05a84d3c, 0xe5030f36, 0x8faf6272, 0x27419328, 0x62f3a5f0, 0x363ff19b, 0xc29f9366,
+    0x2d3986a0, 0xeacccac7, 0x0c3d0776, 0x15c9a13c, 0x92a1b178, 0xc48f0019, 0x7e8d4adf, 0x4b7d099e,
+    0x36475f4c, 0xb7cdcc58, 0x897f5004, 0xd20fae2a, 0xd9e0776c, 0x001169c7, 0x83e69f8d, 0x36dab8cb,
+    0xd38f4881, 0x27fd6f4a, 0x7efc8e8c, 0xf00fa60f, 0x0ca4e619, 0xebe29a69, 0xa37375a1, 0x4a0ae5ba,
+    0x7faca198, 0xfc916726, 0xa03fd105, 0x96cbf3e6, 0xc32ebf8d, 0x599dbb7e, 0xfca6891a, 0xd481070e,
+    0xb00f1401, 0x9d8239c5, 0x67d10030, 0xe2fdf0b2, 0x2ee5a783, 0xfc71be7a, 0xd098211d, 0xbe1edaba,
+    0xeb765f0c, 0x148310c5, 0x4a615b1f, 0xd797b3b1, 0xbb61b395, 0x33a67a81, 0xcdee6947, 0xbc3326a1,
+    0xb77f4ee9, 0x6b6ddef4, 0xde5cedb2, 0x1e1a0b70, 0x5417711f, 0x82af4e17, 0x43daf88f, 0x0ec04e2a,
+    0x09338f67, 0x4a2d54c4, 0x18ec7300, 0x85dcd4ed, 0xbd66598f, 0xb7de302a, 0x07ab1ff6, 0xb499b3a6,
+    0xff1cacfc, 0xaa1191c9, 0xb93975e3, 0x10679f7d, 0xc5e61176, 0x9cbc95e0, 0x58c97474, 0x46c4cbb0,
+    0x02b14481, 0x776dcd0b, 0x456f056c, 0x407424c0, 0xfe33df26, 0xb54ebdae, 0x8ba9fe8e, 0xd69c45c4,
+    0x83bfa9a1, 0xeaf67151, 0x476629c1, 0x7d87e472, 0x9e73c2d0, 0x2d3c530e, 0x69ff698e, 0x32ab4d8c,
+    0x90d90869, 0x6b946cd5, 0xe921124e, 0xeff8e423, 0x78d82a4e, 0x03bce571, 0x7a74c310, 0x3d99786c,
+    0xa1738db5, 0xb3ab18be, 0xd432252e, 0xb8d1db14, 0x9ac4177d, 0x8b331664, 0x87b1836b, 0x8d0b6ef4,
+    0x23d9089a, 0x2d596a4a, 0xc3a95b40, 0xa7c35543, 0xe243b44b, 0x1ab250ed, 0x44e803a6, 0xfd3cb83c,
+    0xc11f5b29, 0x40def1e8, 0x830574df, 0xa69c4969, 0x2de06a0e, 0x5feb20ec, 0x719bd42a, 0xde359df1,
+    0x1f119f2c, 0xe711a738, 0x06c6917c, 0xf62542c2, 0x16e50e63, 0xc21e665a, 0xcabb7b9b, 0xbaaa25a1,
+    0xa087f0e9, 0x0fc3e643, 0xfd8ba41f, 0x69e60fa3, 0x77527ad2, 0x2079f1c4, 0x58145d90, 0x38a702f4,
+    0x3d6148de, 0xb4d0309b, 0xd2570f33, 0x7ed26603, 0x69bc3041, 0xd009304e, 0x4a55d4bc, 0x44e8e3e9,
+    0x1763d403, 0x228a32a3, 0x8b05412f, 0x995d7bc2, 0x79ce6b0a, 0xd9ee30a7, 0xaa5fa34d, 0x8b976108,
+    0x69f57dfb, 0xca72484e, 0xeff679d0, 0x72a0fd74, 0xff2e50ed, 0xdeb7a27b, 0x5c460e12, 0x5f8b61fd,
+    0xd6b01eb9, 0x7f9e7493, 0x55efe912, 0xd14887e8, 0x2dbf891f, 0x765360b9, 0x4d9557d1, 0x0236fdb2,
+    0xf391568f, 0xf2a8ba6d, 0x0fd5f24b, 0x00c346a0, 0xd02d31f7, 0x68d5e41c, 0x639d88bc, 0x7e0f5da7,
+    0x0a8f41d6, 0x3531cf54, 0x7fc44c88, 0xdfa746f1, 0x409e0d7a, 0x0f19dde9, 0x47ab5f0d, 0x41fc30c7,
+    0x32b88c3b, 0x87fad46b, 0x24072ec9, 0xe004a362, 0x34c1f551, 0x1fe3aeea, 0xd84ad736, 0x26cfed39,
+    0x510879f2, 0x661c43d9, 0xb8141eef, 0x2a79747c, 0x02e6f743, 0x2834c4d1, 0x1dab4213, 0xf6f0f77d,
+    0xbe649d15, 0x0c04f143, 0x320fb536, 0x8a2c4ab6, 0xea91199b, 0x9673da9a, 0x77a84556, 0x2d5271e4,
+    0xb942575a, 0xe5fae194, 0x930b77c4, 0x713412c9, 0x21130e2f, 0x849be2e0, 0x71882ac8, 0x56fa7b94,
+    0x9f141cb9, 0x5267a53d, 0x6108dd21, 0x13f9aae2, 0xcd9dc22f, 0x29345efb, 0x833998dc, 0x922a2a3b,
+    0xa55ee7b8, 0x10a5aa05, 0xa8350bbe, 0x183685f7, 0xe890c369, 0x24d290ba, 0x9199e5cc, 0x040381ef,
+    0xd6b6782c, 0x2625fbbd, 0x56405f49, 0x9afbf5bd, 0xde4ef342, 0x72ccb4a8, 0xae907dc8, 0xf8834de2,
+    0x36fa2f5e, 0x31ce8824, 0x88a98d1b, 0x3ff37176, 0xdf970697, 0xb5614aa0, 0xc4cfdfa4, 0xf9caaee6,
+    0xced32562, 0xbcac1974, 0xe2c872bd, 0x9d86abf2, 0x52532b32, 0xf89d4908, 0x5d05f6cc, 0x74afebb1,
+    0x8b8dffcc, 0xd9f21ca5, 0xb1d47d49, 0x689c1cdd, 0x070d3885, 0xf1debd18, 0x0a6800e0, 0xdb78fb34,
+    0xd6130228, 0x60d89712, 0x15d0375e, 0x82505250, 0xccb406d6, 0xa62ce143, 0x5f41865e, 0x1fcfe2cc,
+    0x1ac43064, 0xf83d39c0, 0x061e5269, 0x7d55729d, 0x48132264, 0x246ffeff, 0x75672be5, 0x521d82fb,
+    0x1cf420f9, 0x73367bf2, 0xbd753ff4, 0x69dd21ed, 0x4fe4a414, 0xef49f036, 0x79f6eeda, 0x0bc12fd1,
+    0xa4a5776f, 0x2cb90944, 0x3c6542e7, 0x6b180b3c, 0xfeb9b7ca, 0xdc3e3390, 0x97070763, 0x14f1b664,
+    0x0058e96e, 0x7150c8d1, 0x25b355cc, 0x43562e78, 0x9e75886f, 0x2ea0fb72, 0x8178e13b, 0x1986112e,
+    0x44ac18e3, 0x1cba0b6b, 0x094da0fc, 0xcdc0798d, 0x5cef23cb, 0xe1b9f5e4, 0x8d87c00e, 0xb3cae027,
+    0x59816a3d, 0x29e61ce0, 0xaa993c61, 0x0c4e7f75, 0x4440c4ff, 0xb215593c, 0x56b013fb, 0x14ad4d8e,
+    0x690b9911, 0x4a4376f0, 0x2f5a055f, 0xd8060e9c, 0x4e531f08, 0x2da7974e, 0x3203b413, 0x93755ce0,
+    0xfb573ff1, 0x261c8659, 0xa8a3fedb, 0xfafc09d1, 0x0c905b10, 0xd0a377c5, 0x2c53ee3d, 0x913ceb00,
+    0x4583983b, 0xaa4a1821, 0xb80e9b76, 0x25dcf581, 0x578956ac, 0x045728db, 0x677a9022, 0x76ee688a,
+    0x07929533, 0xc70288d8, 0x7af4c998, 0x019e6c07, 0xc3bde01b, 0x8c4ba5c5, 0x9a0dc491, 0x1676e2f1,
+    0x6ec7d26f, 0xc610a029, 0xf19e67e1, 0x72e500f8, 0x2f0149df, 0x5b47db61, 0xcb272bd3, 0xacd76886,
+    0xb249e3aa, 0xcc7ac708, 0x06828f0b, 0x6af921f4, 0xddc24ff9, 0x8391d792, 0x851f6bb1, 0xdaaafde9,
+    0x6443549a, 0xad0c28ab, 0x1563d6ae, 0xbc71d39c, 0xbe58861c, 0xace2fef3, 0xba17eb85, 0x70c17b25,
+    0xcf16853b, 0xe20b2443, 0x78b42aa0, 0xbc1fb8d0, 0xa67bc83c, 0x48526a97, 0xfe03ee29, 0x82b17ddf,
+    0x5c4e17c0, 0xfaf894a7, 0x16b7e4d0, 0xfc131f60, 0xa2589e4d, 0x1200ab44, 0xfe733172, 0xdb5cd07a,
+    0x9d37957b, 0xc6de3974, 0x223f5ab2, 0x33096911, 0x4a38c119, 0x967460a8, 0x1ad24012, 0x67c3e2e3,
+    0x16db5383, 0x815ee026, 0x98ff867e, 0xa920ecc4, 0x093edbd8, 0x2d2ac5ff, 0x936cccb1, 0x9b91093a,
+    0xf93674d6, 0x76af8e1f, 0x1a1fab59, 0x85275e02, 0x4d29a1a6, 0xc06a2469, 0x10b51752, 0xb0ded759,
+    0x1b8b10c2, 0x2501c5a3, 0xaa52d1ef, 0xcd52ac22, 0x364e2fdb, 0xda7c51a8, 0x17e5322b, 0x6aec5eff,
+    0x24b46b09, 0x569e0df3, 0x97779405, 0x3595285b, 0x8b849d85, 0x1c5542d6, 0x7bd530ca, 0xa9c1f557,
+    0xd14f350b, 0xdccd8125, 0x7703b047, 0x33634c4f, 0xb9a728ef, 0x8f0b4ded, 0x8a3fd140, 0x2886d035,
+    0x0c2cfda1, 0x4d74aefb, 0x30128fca, 0x9c39b76f, 0x37997323, 0x2b2a4de8, 0xa0374892, 0x63d86ae8,
+    0x25e63adc, 0xad3e3b2f, 0xd771ce0b, 0x75eb52c4, 0x71a30b26, 0xc605e665, 0xf82b3b35, 0x9d2d84d2,
+    0xbca3ceb9, 0xc33eee76, 0x554674e3, 0x4d732b77, 0xdacf4f52, 0x21a83d7d, 0xc81d3a7f, 0x9d063887,
+    0xab73335b, 0x7a76021e, 0x7f158ca8, 0x57b4ad06, 0x232ec73d, 0xf828e52f, 0x719fa16c, 0x79b2731f,
+    0xbe05abac, 0x0f6d42c3, 0x278f4bd0, 0xa9d59fa6, 0x60caf092, 0xa67445b5, 0x7370dacf, 0x4191c49b,
+    0x5ee78383, 0xd85f45a0, 0xe6d2d9e0, 0xc635da9f, 0xe640abc0, 0x7364a3ef, 0x739b7f5f, 0xbd9ad313,
+    0xad63783b, 0xff1c4522, 0x4b7814bf, 0x6db53e2f, 0x710d253f, 0x1e088c57, 0x49758bfe, 0xc21febf6,
+    0x9aaf52bf, 0x46bf2b30, 0x1c420b28, 0xe77fafc4, 0x6d939f6c, 0x535d451d, 0xa58b4fda, 0x3e9279d1,
+    0xe75151d6, 0xecaa111d, 0x5772540f, 0x9d79df01, 0xfccad88e, 0x20c65713, 0xe25b0be2, 0xe2a49dcb,
+    0x439fc669, 0x23ecbf55, 0xff710d73, 0xbd7782a6, 0x5d12cc84, 0x75b219c2, 0x3ceeb87f, 0xa58aa5b6,
+    0xc8c37627, 0x5b814339, 0xd90d1edd, 0x834d5bda, 0xf3894c87, 0x023f65a3, 0x3bb5e579, 0xe3d3b22b,
+    0xd46b8ec6, 0x62cbe8ed, 0x45b3c9b6, 0xac89f013, 0xfe577010, 0x202f6d4d, 0xc3a0ad16, 0x7513e1ce,
+    0x30782278, 0xb8f2367c, 0xa7da23b8, 0x3d9438bd, 0x7d965702, 0xc064088e, 0x783f6331, 0x549ddfd6,
+    0xe1218546, 0xf153e5ef, 0xf57200ec, 0xc474591c, 0xf711c141, 0xf84355cb, 0x9b4acdc3, 0x17ec763f,
+    0x35627122, 0xf38f669f, 0x75834b5d, 0x29838d9d, 0x20a45a88, 0x2ae14cc3, 0x20d035cb, 0xd84181bc,
+    0xe7fe9ceb, 0xe10c1bfe, 0xbafa5315, 0x6afd364f, 0x77f9b382, 0x8b18f137, 0x9905b0bd, 0x57ed197e,
+    0xeb12511e, 0x4784b6c9, 0x4a2798b4, 0x1a971905, 0xa46c6464, 0x546f151e, 0x26bbdf6e, 0x2b67b122,
+    0x0e4b51f2, 0xbee8ab19, 0x4665d1ba, 0x083180c4, 0x74fe8f90, 0x3ad0a36b, 0xb8e2efef, 0xb88ba7f7,
+    0xe97b1726, 0xff1ee7f2, 0x2f168ee6, 0x12c5bba2, 0xd2e3f48d, 0xcf1c3f3f, 0x5ab4ce15, 0x9081fdf0,
+    0x74e0e501, 0x8f79ee5c, 0xe2b3231f, 0x714914fb, 0x6fbe19ac, 0x668de910, 0x088a2a6b, 0x7bdf8446,
+    0xc15b2abb, 0x6d65a79e, 0x174b5e8b, 0x068f9325, 0xda175ec5, 0xe6cc247b, 0xfb748e67, 0x81bd2ac2,
+    0xeb4a184f, 0xd378f8bc, 0xf7bd7b11, 0xfabc815f, 0x7bd0c8dc, 0x4aa924e8, 0xc355a007, 0xe15153c1,
+    0x13223f16, 0x47993126, 0xdc16772a, 0x371ded8c, 0xca8052bb, 0x0c647696, 0xef3d5101, 0x988221d0,
+    0xf6b36931, 0x8e8cd1fe, 0x94f55419, 0xc861d4dc, 0x9c4a38b0, 0x1fbf2cd1, 0xceb6d71b, 0x826e6754,
+    0x86ea2b03, 0x08d8d2a4, 0x73f9c0f3, 0xae4ad560, 0x267292d1, 0x68a3e03b, 0x00681048, 0x40f3ff45,
+    0x0ddbe868, 0x95fd43cc, 0x9d29209f, 0x78ac8f05, 0xc40a507e, 0x13376b63, 0x0824e006, 0xa1f97a81,
+    0xa6493659, 0x85ab2b41, 0x2903670a, 0x8f45296b, 0x36fe18b2, 0xfb1ea279, 0xa05d9e22, 0x80a994e1,
+    0xf550fa5e, 0xe636d99a, 0x5709ad1e, 0x4b9c8280, 0x4b92e530, 0xaa4d1812, 0xa53ab0a2, 0x421561c9,
+    0x66a6be88, 0x417c9b41, 0x776caae3, 0xc7de0c2e, 0xdc9ad870, 0x9a42dee9, 0x3a75b1b7, 0xd594ab9b,
+    0xf7ad3cf4, 0x48fada96, 0xbc143c15, 0x551ac614, 0x4f26c955, 0x75fd9f25, 0x1547cc78, 0x8f493ae1,
+    0x8015182a, 0xc2197551, 0xe89cacd5, 0xfc605178, 0x7ac38702, 0xbce50559, 0xd29741f7, 0xb6ba2c89,
+    0xe175673b, 0x9c11c4fd, 0x890235b2, 0x4fe7c58f, 0x5f7c9fc2, 0x8f8dc025, 0x68113abc, 0x20af469b,
+    0x2e496c5e, 0x31bb0bf8, 0x6bd60ea2, 0xd2e56ee7, 0x2b96b823, 0xe16e8b14, 0xc1b9f959, 0x3b9a4508,
+    0x88c40cfe, 0xde11c857, 0x13f8b2c2, 0xfd70375d, 0xd4ac2015, 0xa3c3fa90, 0x8e06fab1, 0xe66f81cd,
+    0x832bd6e2, 0x213880e9, 0xe5585209, 0x72996fcf, 0x3d16820a, 0xd739931f, 0x2bab8470, 0xf1b85f03,
+    0xc0b47a92, 0x70980aa7, 0x21f595d5, 0xc2760783, 0x0142ee33, 0x0d7bbe23, 0x96690300, 0x28c0db87,
+    0x2ee5f8cb, 0x19196b68, 0x713e08d6, 0x072b7157, 0x63eb37ba, 0x82b276b4, 0x823dc677, 0xfb8fbc71,
+    0xc5a61912, 0x9a1ba09b, 0xadd368d8, 0x544daa4b, 0xbc457fdf, 0x5f76f78a, 0x2563cb11, 0x5d124ae4,
+    0x5f753b8e, 0xf474cd59, 0x6a5f5d66, 0xe0956fee, 0xc4104924, 0x0327e519, 0x70c92028, 0x6bb1c229,
+    0xa55d178e, 0x1307bd08, 0xf83956c3, 0x1fabae52, 0x1954ef89, 0xf06cb192, 0x3679b3ac, 0x922f6494,
+    0xd22a4108, 0xd79340b4, 0x1d55f6a8, 0x002dcdb9, 0x703647d6, 0xfa6e1ec7, 0xc85805f6, 0x5670a85a,
+    0x6bea8920, 0x2dd59edf, 0x14dc1a0c, 0x82cc279e, 0x321d694c, 0x12a7de7e, 0xf933fa60, 0x4607d74b,
+    0xf52920af, 0xcc9b9469, 0x071c7cf2, 0x07e4f376, 0xa4fc3045, 0x1cef182d, 0xa3fa9963, 0xdbef41b5,
+    0xe721ceda, 0x5e9ed3a2, 0x75614a31, 0x7b27fd51, 0x97f7429d, 0x83bdf580, 0x2524b7f2, 0x0313f8e5,
+    0x879b4aed, 0xc7ae49cc, 0xa781b736, 0xd7667ec6, 0x34511ff6, 0xfcf715b1, 0x3b723377, 0x10af4c0a,
+    0x2f8a61c3, 0x99320c92, 0xe17c04eb, 0x07783ace, 0x6c1bf137, 0x31dc7044, 0xc7a2afa0, 0xd826ad04,
+    0x1235df65, 0x5e90f82d, 0x039b4c5b, 0x7c243013, 0x391107fc, 0x344e1844, 0xa37364b0, 0x0af55f4b,
+    0x02252f08, 0xdf594b68, 0x68b2840b, 0x41b378e6, 0xbab57e3d, 0x89e55c8e, 0x5a7c974f, 0x3fbef164,
+    0xe404e1c4, 0xdd6c5518, 0xfa970068, 0x4581ef98, 0x6cd76360, 0x38985b54, 0x1ca655c2, 0xd90b29b3,
+    0x3ff5c3a7, 0x7cfc1bc2, 0xa263e71e, 0x2884f69d, 0x725e130f, 0xc471f60d, 0x68a0059d, 0x98d0fa91,
+    0xc9a5e2af, 0xea28164d, 0x6bdc96aa, 0x1c92103b, 0xbf6302c5, 0x50e319c0, 0xdbf32508, 0x71d6ac4b,
+    0xec1b9f20, 0x67db5cf6, 0x35509bea, 0xa978f113, 0x89aa42fa, 0xdd0eae21, 0x3bceb6fc, 0x7c0921e8,
+    0x14e85b1e, 0x1c99d051, 0x58c390c0, 0x300fdc16, 0xdef4411f, 0x7429b3a2, 0x29d6adfa, 0x17e76a46,
+    0x440cd452, 0x5bfd668d, 0x1ed55b01, 0xf8285935, 0x39ce890a, 0xb33244cf, 0xc907a839, 0xe0c5f4a0,
+    0x297e63c7, 0xa39f9a2b, 0xbba38d67, 0x91324949, 0x67cd08f0, 0x892b17fd, 0xa35b35bb, 0x9354eba4,
+    0x4a39723a, 0x37c6de0a, 0x3830b441, 0x27ffaee4, 0xeb1b0096, 0x74440df7, 0x3599cbbe, 0xdac0b956,
+    0x6960bb51, 0xf5625410, 0x5ecbd8cc, 0x3c71a98a, 0xdd521d3d, 0xf89e9120, 0xfebf26af, 0x5d7f15d0,
+    0xf2b06917, 0x52e6b690, 0xd55dd5cf, 0xb0111bb0, 0xa5f29161, 0x7d663f09, 0xaf3188cf, 0x9c533f66,
+    0x00000000,
+    0x28125992, 0x6a048059, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000010889035741470030830827987437816582766592 */
+  { 0x00000000,
+    0x5aeccd12, 0x9fa08c89, 0xeab3dfd4, 0xb1f727d6, 0x608dcab4, 0xe782a0f7, 0x2d9b8f34, 0x95966a12,
+    0x215235e2, 0x32f30e7c, 0x0c442265, 0x52493f3a, 0x1a31fa33, 0x1e715772, 0x641373ee, 0xbe7f647a,
+    0x72dc8032, 0xcbcaef83, 0x4d536ec8, 0x8773a23c, 0x0a6287e3, 0x19b43dff, 0xe6772805, 0xbf29a974,
+    0x1ad18ba8, 0xdc54b7a4, 0x9d2942dd, 0x2113bd2e, 0x45c30574, 0x8f5e15a6, 0x14043c69, 0x47fd76ec,
+    0x382b20b9, 0x13001223, 0xdae83b55, 0xc40c0d3f, 0x14333954, 0xe8ed65fa, 0x311a0d45, 0x3a704b1e,
+    0xaf7652b9, 0x068221b0, 0xf513e46c, 0x13ba592b, 0x3a17e294, 0x457d20ad, 0x25481a93, 0xa90ac180,
+    0xfcd60ca9, 0x411bde26, 0xebd92f90, 0x9cc1a9d9, 0x21eb1140, 0xa70bf93f, 0x47dd92a8, 0x97d1f7c6,
+    0x25d5beab, 0x3f4ab58f, 0x34d0effc, 0xd3bd9916, 0x394fb139, 0xa6dee57f, 0x1af741b7, 0x5356b39a,
+    0x59519db9, 0x302e88c0, 0xe4d19bd7, 0x6c77a016, 0x020ef08b, 0x1bd2c62d, 0x94278ed5, 0x35170201,
+    0x2f5d2c7b, 0xbaca6b2c, 0xdba89e97, 0x49c21f89, 0xa590a8ee, 0xe4ca779d, 0x5e531b68, 0x08b04a98,
+    0x858ba74c, 0x75e6be25, 0x2628f365, 0x505ab24b, 0x33f09a28, 0x3699e590, 0xad035916, 0x7eb88fb8,
+    0x5c4190e3, 0x2632278e, 0x1db15518, 0x8acb6e5f, 0xd10ac01d, 0x0529e27b, 0x5b403d5a, 0x52a0875b,
+    0x8674bee4, 0x25580d72, 0x28222ba8, 0x06b2b487, 0x509ec229, 0xfef3af3a, 0x60c407e9, 0x493d538e,
+    0xe3f11113, 0xeefe8bd2, 0xd6b9cc81, 0x8a14ddd9, 0xe1da078f, 0xb8f68ce0, 0x0093588b, 0xa0d02624,
+    0xa29c8a2b, 0xe714ee4b, 0x33c09b24, 0x8038595e, 0x97bcd031, 0x0d1ebd94, 0xcad01e63, 0xf2a5a084,
+    0x198e0983, 0xe8d4f5c2, 0x19ed8a3f, 0xaabbd044, 0xe54a11a1, 0x84f02099, 0x3bc9f93b, 0x82471fb5,
+    0xd9bf723f, 0xb42a9904, 0x1ad7eccf, 0x1772bcd5, 0xa627f256, 0x102584d9, 0xc7d0806b, 0x0359bfc2,
+    0xc2e942f4, 0x5cc777dc, 0xe9c6182e, 0x9c11d291, 0xc8216c9c, 0xaabea238, 0x15f4f36e, 0x6689c7ca,
+    0xc9e271ab, 0xe661dcba, 0x77fe7d31, 0x1aff49fe, 0xc5c547b1, 0x9db7fc97, 0xa5177ce6, 0x6f2690dd,
+    0x1c8a60c2, 0x9c70b2c9, 0x2ad0bc7e, 0xb0ea4631, 0x7d7397a2, 0x8c0349f6, 0x3f1c3cc4, 0x7fb68575,
+    0x2bd6a65b, 0xa0d4fe73, 0x354e3fbb, 0x9371345f, 0xdf025c5e, 0x384a3928, 0x632129ab, 0x4de7b2f4,
+    0x1b510981, 0x5a89793d, 0xd9af43f2, 0x5580e9c9, 0xeb3facda, 0xe22f5c7d, 0xde958235, 0x57393f76,
+    0x55bab93b, 0x56c7c3f5, 0xc4a1e18a, 0x5c1bdd14, 0x832053da, 0x43117e52, 0x1309b607, 0x5bb2b24b,
+    0xc7ae8bc5, 0x2a607c1b, 0xb522cb02, 0xce2fee7c, 0x06449aec, 0xfb669903, 0x151ad70c, 0x799885c3,
+    0x88d261d0, 0xecc091b2, 0x81a461c1, 0x64924dfe, 0x709bd4e3, 0xc8b82c60, 0xdd6445dd, 0xe6ab4f08,
+    0x5ce688ac, 0xb1834fa6, 0x5782799b, 0x62a70183, 0x986843eb, 0x9ce657bc, 0x118fd257, 0x59484836,
+    0x6279a4fa, 0x191dc63f, 0x9d07e70e, 0xed80b5b4, 0x392fe5c4, 0x1c26cada, 0x26448490, 0x561346d3,
+    0xb0d167f4, 0xa52adb09, 0xfe73046d, 0x7c9cf477, 0x647a18e6, 0x40c066ac, 0x5a0583b0, 0xf380d39e,
+    0xd2207dbf, 0x14eb68a7, 0x73f3f0d6, 0x3476687a, 0x3a6a28c8, 0x0918fbc9, 0x94e268f1, 0x50e88613,
+    0xe459f63d, 0x82cf26a7, 0x1587a169, 0x9f2f230f, 0xfc085cb9, 0x2ad8c2ad, 0xba001fd4, 0xc45f8cab,
+    0xcb4a34be, 0x8944506d, 0x9ef2b915, 0x4410f293, 0xc8067211, 0xe86c80ee, 0xcd66533b, 0xa142b075,
+    0xc845d352, 0x7c29e0a7, 0x66f1d799, 0xb0390b6d, 0x7fc1b5bb, 0xb3ca8273, 0xf29510d7, 0x2d89c641,
+    0x144d508b, 0x922b9fc4, 0x354dac96, 0x71e74bc5, 0x48f43652, 0xd9faa0bf, 0x32b3cf49, 0xcf0d9258,
+    0xb3876903, 0x815c2234, 0x22674949, 0x2f3793f6, 0x970b81d6, 0x17596b18, 0xf713336c, 0x44a994e8,
+    0x3377e738, 0x33f928ae, 0xe9009ceb, 0x36601045, 0x702fa245, 0xbd335fc4, 0x810482d7, 0xf37c62bf,
+    0xefdb6213, 0x7d9b4a57, 0xf06bd698, 0x09eacfa3, 0x40c5af03, 0x125b2824, 0x98818f99, 0xf0905a7a,
+    0xb17c2dd0, 0x66e470bf, 0x4bedc208, 0xfd570601, 0xa591db2c, 0x63978a02, 0xfc6d4db7, 0xaed0a1cd,
+    0x9bec9f7b, 0x91619849, 0xb434fcb0, 0xdceb91b2, 0xbcd33d51, 0xcd004cbd, 0x1c2ad015, 0xd045df9c,
+    0xa0cd8f37, 0x6b3838f9, 0xb16175ec, 0x4778af15, 0x61fad6c0, 0x67c6d872, 0xd89506a3, 0xf2dd34d4,
+    0xed1f029b, 0x0f3ff5b8, 0x579efa37, 0x44cb47b2, 0x18c1d359, 0xfc71fbb9, 0xb0d80c84, 0xc97a7d86,
+    0xc221340f, 0xff7ea2cd, 0xebceee98, 0x8d7e496a, 0xb002a8cd, 0x6bf89751, 0xf0c04a4a, 0x9fccf267,
+    0xf5d60377, 0xeb8e4a78, 0x175af42f, 0x09fb7124, 0x80f33d97, 0x107a2ef6, 0xb84f46fb, 0xdaf6e754,
+    0x290c19b1, 0x79621111, 0x8b321561, 0xb4414a97, 0x02c1ac74, 0xfec1c1e9, 0x3dc7b734, 0x1f153883,
+    0xc316e228, 0xf8c665c1, 0x12864f22, 0x2f96c7e5, 0xa2151ba4, 0xa8168439, 0x3ca9133e, 0x9956236d,
+    0xfcac1724, 0x1fdbfb89, 0x14712edf, 0x0be97c57, 0x25799236, 0x284c64b7, 0xa9f072df, 0x8d3b2b49,
+    0x639b2a98, 0x5da7a1db, 0x8bfdc2e0, 0x6df34de2, 0xf38f4add, 0x26cda603, 0xab897315, 0x8c34d894,
+    0x531b70b7, 0x63ec70b4, 0x2a415888, 0xff8ee064, 0xfe4d0e8f, 0x06360bbd, 0x9e1fc2e3, 0x33d78543,
+    0x08d009cb, 0x6dc4bdf5, 0x1f16bc41, 0x71d902e7, 0x39c088cb, 0x18311aa9, 0x078a270e, 0xa519f8c6,
+    0x738be7ff, 0x01dfffc3, 0xac5ec53d, 0x1cb52e1c, 0x8ebcb2ab, 0xce165e4c, 0xb5ebdb66, 0xc687b30e,
+    0x18e2598c, 0x21f2edc0, 0xfaaef7be, 0xf6e664b8, 0x49313772, 0x8af33948, 0x12b3c3d8, 0x1cbde1af,
+    0x55e7e8cf, 0x273a1e96, 0xd97c2216, 0xc8ff4dc4, 0xed4e6c5c, 0x8e63323b, 0xc0e33f00, 0x336ffcea,
+    0xd4e66e10, 0xd10aac07, 0x42500c93, 0x18ffdf06, 0x7a28c1a8, 0x288875a7, 0x0280c4ed, 0xb43830b5,
+    0x04a2410b, 0x19f38fe9, 0xbe3e39ca, 0xc1faa329, 0x6152242e, 0x2fc7844e, 0xd01e754d, 0x21092e9b,
+    0x15bdc516, 0x24553cc2, 0x9492ab82, 0xae684c5c, 0x04d10faf, 0x393de4ae, 0xa3d2f89f, 0x5362972f,
+    0xa97293b7, 0x606f30c8, 0x69fd4901, 0x027433dd, 0xa8bcd3cd, 0xd86a3ba0, 0x563fb295, 0xa53f5a5e,
+    0xc12566c5, 0x1ddb958a, 0x142bed4b, 0xeae549a1, 0x82c3a33e, 0x15d7d747, 0xd3e14031, 0xe8f847e3,
+    0xa0a781aa, 0x7ea57316, 0x14d9b48b, 0xd22d61f6, 0x1c41145c, 0x14133980, 0xd01ac732, 0x5bda2154,
+    0x75d77c47, 0x83b54927, 0x50b28130, 0x1221fe2e, 0xa4baab7d, 0x83e2b3dc, 0x6e0d7e47, 0x716c1fb7,
+    0xe1aa5a90, 0x27feadb5, 0xf2d041a2, 0x0bc31a0e, 0x287e3cd7, 0x34a80396, 0xaed413e1, 0x483b1db7,
+    0x6f18c9af, 0xecdf3444, 0x4cdcfc34, 0x85f3bd00, 0x5f5b04f8, 0xe1b159a9, 0xf3714020, 0x6107c5ed,
+    0x33035742, 0xdf3301e1, 0xb7b0e005, 0xcba4286a, 0x2a1d8978, 0x71523397, 0xe6d96873, 0x56e554e7,
+    0xe356fbc2, 0xfde1dbf0, 0x38858b2d, 0x689aab55, 0x76421552, 0x9253e04f, 0xeae5ba24, 0x7c59593f,
+    0x877fcd7b, 0x5e0b3dcd, 0x5518452b, 0xd92ae589, 0xbf5157db, 0x2c5428ce, 0x9cc71c60, 0x342780a0,
+    0xfff4e8ba, 0x426097f1, 0x58fc8449, 0x234bea13, 0xf1fb036f, 0x1141819d, 0x5290c551, 0xdbc24762,
+    0x095b80e8, 0xa0fa2da0, 0xa33bb331, 0x1054f5b9, 0xa17e608e, 0x92ea619d, 0x296bd4bc, 0x189e69c8,
+    0x88c3676e, 0xe26916fe, 0x1c5699cd, 0xc1f96ce9, 0xe026c345, 0x814e15b0, 0x6a347b34, 0x6a54485d,
+    0xd9cfbc76, 0xff065dcf, 0xc95225ae, 0x2ed61f27, 0x2d18f1ea, 0x6a6215b3, 0x2b9ccb64, 0x5dae0932,
+    0x43923228, 0xb1f6a730, 0x847b7fcc, 0x73fc4ebd, 0xe8f52383, 0x567f0197, 0xeb9e0436, 0x5a20bc54,
+    0xbafcb138, 0xdf760632, 0x84460401, 0x99f6990f, 0x94e02608, 0x6be6cd8e, 0x0f2ba1a0, 0x031dc0e9,
+    0x0de3556e, 0x9ae0c1fd, 0x796c6e09, 0x8a77cef9, 0xd83c8cc2, 0xcf4c7ed3, 0xcb82b5f8, 0xef273a92,
+    0x146ce9fa, 0x9548ec18, 0x2976060b, 0xadeabf63, 0xc2d01063, 0xeb62f16b, 0xc83cdfa3, 0x47801fe2,
+    0xbec7bb2e, 0x8484c1e6, 0xa7c7c74e, 0x44d725a1, 0x28e64487, 0xadd279ab, 0xb663ece9, 0xe49047a9,
+    0x69d9cd4c, 0xe401f7fc, 0xe96807c3, 0x623c3d02, 0x663d83ef, 0x92cb1f97, 0xccc7d96f, 0xc7818793,
+    0x57734646, 0x03afabc0, 0x96b91c2f, 0xfea6f3e4, 0xa94b8f54, 0x7e32e7bd, 0xbe8aad4b, 0x02ac33a4,
+    0x465597a5, 0xdefc3348, 0x601e546b, 0x0e30f4e5, 0x89be88ba, 0x283579be, 0x657b670b, 0xa917f498,
+    0x986c6101, 0x2ba52fb8, 0x17cc9130, 0xec65bdf9, 0x9286328a, 0x44c48834, 0x164b50ed, 0x3c49525b,
+    0x8e3a9dd7, 0x1edf5e8d, 0xb805b00e, 0xa5bcd407, 0xf31229f2, 0x27b6a9cf, 0xf4fb6920, 0x5c247ff0,
+    0xc03e09cf, 0x3569c762, 0xe70add62, 0xa7e84e6e, 0x1c1bb535, 0xf0a3caf1, 0xded40761, 0xceb2c1f9,
+    0xe04f2dea, 0x2d3dac18, 0xa3667ce2, 0x0350f20a, 0xf7dad1f1, 0x6397b18a, 0xbb5fd86c, 0x217795d1,
+    0x69b8b6cb, 0xb47b8552, 0x5e693857, 0xa1869ad0, 0x4c7850f6, 0xf6f97b08, 0x20bfbc19, 0x53d658c7,
+    0x42e4035d, 0x946c427f, 0xde4c0094, 0x607ff6fe, 0x869270bc, 0x07570f65, 0xf43b8fce, 0x7127ae8d,
+    0x66e1d3e1, 0xaf15027c, 0xdfeb0c5e, 0xc4a2a303, 0x5d23ced9, 0x71e7506b, 0xee47a627, 0xa76d0b27,
+    0x83b0f4a3, 0x9bbc056e, 0x2d3f2d78, 0xa0a2e7c4, 0xfc157e43, 0x58b49f85, 0x2ad02991, 0x4b930ffb,
+    0x55168a59, 0xc41b907e, 0x4adade6a, 0xaf8901bd, 0x07644724, 0xdd5da29b, 0xaa3b4fdb, 0x15692aa0,
+    0xca9a6c32, 0xb9b43ae0, 0x5e375d05, 0xbbeb1705, 0x711d23cc, 0xf155ce3c, 0x4f9fe119, 0xd67d760c,
+    0x0e63a3cd, 0x6349e864, 0xfe95c82b, 0xaf6f55b0, 0x7dc0f20c, 0x57e93a28, 0xff823482, 0xc16400d4,
+    0x07b18abc, 0x414fa8c0, 0x9727b53a, 0x4c75a5db, 0xcff3e331, 0x8e63e894, 0xc60b3869, 0x8a42e442,
+    0x502fde4e, 0x3deb7cef, 0x570ff15f, 0xbad7fcf4, 0xae0f13f6, 0xec118e4b, 0xd814b337, 0xead1155c,
+    0x3c4d3173, 0x0b1c4cc0, 0x756059dc, 0xefacf5c7, 0x580b573e, 0x67ae842a, 0x341e9f58, 0x32658b25,
+    0x0f7ff21f, 0xa4cee0c8, 0x9311ce48, 0x217d0125, 0x8a3806da, 0x44f0a8a1, 0x5bc76238, 0x185949e6,
+    0x6c74c87f, 0x95c92b39, 0x87b911a9, 0xc02c4e75, 0xa67b94f8, 0x1d1ba3b5, 0xeb02cb36, 0xba66ebb2,
+    0x39ca8e74, 0x782d5dc3, 0x990c03f9, 0xb4d2bede, 0x290b20dd, 0x06d1a28f, 0x1520d400, 0x370a6a77,
+    0xccd4a6f2, 0xe82efb20, 0xf7199bd1, 0x7b704327, 0x946431c1, 0x9a127b21, 0x3932837f, 0xefa5bae2,
+    0xc98419f3, 0x77a89023, 0x4c5f7781, 0x5f1f75d2, 0x3a508e82, 0x1019a39c, 0x136ee312, 0x8309a94c,
+    0xa72e9e2e, 0x8a05b8fc, 0xcd6143d9, 0x562fcf10, 0x909f60d8, 0xf60497bd, 0x0751f65b, 0xf788e64b,
+    0x9a53e031, 0xf17fe8e5, 0xe191dd53, 0xbbdbc517, 0x4a8911cd, 0x21558cde, 0x614a154b, 0xaca1b67c,
+    0x98f001d5, 0x69fce286, 0x9c37ce2c, 0xb9e3792f, 0x0a4cb71a, 0x11438cca, 0xd39850ca, 0x20620354,
+    0xf285ca96, 0x4ba23c1f, 0xe186f49a, 0x51e55109, 0x4e8db583, 0xf1bff722, 0xe1bacb24, 0x1a74b8df,
+    0x58535b39, 0x9822f0f0, 0x5b5f36fe, 0x668200c7, 0xfc5d03db, 0xb085fb9f, 0xd5a6ee7c, 0xb04d4841,
+    0x993556ec, 0x85c9e492, 0x5a3bd239, 0xba01716c, 0x9f2074fe, 0x0fe49ceb, 0x47d42294, 0x41caad4d,
+    0x7c2f7105, 0x1e2ef421, 0x6b5a8f46, 0xf6ffc86b, 0x874787c4, 0x3954a667, 0xd574cb1d, 0xbdbf6979,
+    0x32324a82, 0x671e3195, 0xf7187598, 0x06d0dd67, 0x9947caab, 0xae56fe6c, 0xc4f8ac48, 0xc5ffd017,
+    0x4dc1fbaa, 0x247e6da3, 0x33f53124, 0x31c4e53f, 0x502111cf, 0x347a74d3, 0x34ca866c, 0x1140a155,
+    0xbc956e69, 0x0304de40, 0xeb97e80b, 0x3032543f, 0x39898fb0, 0x8211ec6b, 0xf3cf52d8, 0xf53076ce,
+    0x4dca795f, 0x07c73519, 0xdf914309, 0x06a51a00, 0x55335644, 0xa560eb4f, 0xb48aadf9, 0xdc51973f,
+    0xedb7edd8, 0x471617ed, 0xf1df182e, 0x5f5ee045, 0x18b0de1c, 0x1784e6ba, 0xa5b52ed0, 0x174df9d3,
+    0x6488002a, 0x7f7208a7, 0xa5a13b82, 0x15f2c624, 0xf0ca5f3f, 0x64a60b89, 0x7a26137f, 0x439bd1a4,
+    0x5ebfbdaa, 0xca322cbc, 0xec718f8f, 0xf78fab9d, 0x5ddca267, 0x122a91a8, 0x51dcf608, 0x34a7ea2c,
+    0x315b72df, 0xc87e7fad, 0x462514d2, 0xe80fc7f0, 0x3f02cab6, 0xbfbd5405, 0xbae7353a, 0xec29cd40,
+    0xcee6c03f, 0x4a71454a, 0xc61e435b, 0xd475f3c5, 0x750627f4, 0x2f6be37b, 0x61640ffd, 0x0dc5caa2,
+    0x2ccfe539, 0x2055b469, 0xec3ff700, 0x402b0163, 0x7f3829fd, 0x9521a82c, 0x2dc9842d, 0x253afa9f,
+    0x15fc6b5e, 0x27323e54, 0x41c139f6, 0x9077422e, 0xb096b892, 0xb6d2fad7, 0xcd630e88, 0x5dadd972,
+    0xde710e8f, 0x59252959, 0xe522fdd1, 0x95108050, 0xcb199e5e, 0x605ea867, 0xf8e951ef, 0x87bb8326,
+    0x18a5b398, 0xffa7640f, 0xb6e91a0c, 0x791effe4, 0x30bd6b1c, 0xc9a644b1, 0x026e880b, 0x57685af3,
+    0xae41fb46, 0x033f3fbc, 0xdae73fc7, 0x4a66cb3a, 0xa010e47a, 0x7ac74694, 0x10b34f9f, 0x75108901,
+    0x98a0dd84, 0xe45e411d, 0x9a249e50, 0x641566c6, 0xb9fbbd9d, 0x1a69e484, 0x860c6eee, 0x8e0eec98,
+    0xa116c6cb, 0xb0678510, 0xfb31ce20, 0xa285a925, 0x01afb643, 0x1af689e7, 0x9a6ff6ef, 0x8ef8602d,
+    0x21d2b16d, 0x050ad5d0, 0xfa88fa39, 0xb06d69d9, 0xedafd3b2, 0x26efba40, 0xb6787209, 0x3e41b3bb,
+    0x8ecdf13e, 0x0da5385a, 0x4b837f38, 0x1a452d0e, 0x3fd93698, 0xdf764a13, 0x14393442, 0x1a511b58,
+    0x6c6284b7, 0xfd0ca764, 0xcf7b982f, 0x325e5ea2, 0xf7c71698, 0xd2a0b629, 0x08aed041, 0xd21d088e,
+    0x7a83fb6f, 0xbc7779c6, 0xcc90bf53, 0xbc88fe28, 0xf2b78f54, 0x4705a3aa, 0x729d2dcf, 0xe188b9e7,
+    0x17f477d4, 0x92163c4d, 0xcb209372, 0xf2dfd0c8, 0xd46be855, 0xe0970f92, 0x697bd2cb, 0x2badac11,
+    0xacddbd17, 0xa252d70f, 0xaf4e844f, 0x0dc2747a, 0xff45e0b4, 0x8cbbde57, 0xfb092555, 0xb5c4b42c,
+    0xfb93a391, 0x24d307b4, 0x7b6333d3, 0xce1f854b, 0xa481bea8, 0xbe7e24b0, 0xd58697a4, 0x36525f3c,
+    0x4336ac83, 0x0e552e11, 0x77d74704, 0x47674d43, 0xef28acec, 0x24abd0b3, 0x7e208d75, 0x1d565086,
+    0x875a9115, 0xeae3bce4, 0x38f92970, 0xfdaf43b1, 0x43c53292, 0x54d7c3db, 0x4de11717, 0xc80c5128,
+    0x00000000,
+    0x94092cc8, 0xb502402c, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000005444517870735015415413993718908291383296 */
+  { 0x00000000,
+    0x3d6bfc13, 0x1889ad88, 0xbde86e00, 0xa2b68fb6, 0x79740ba7, 0x8ea9ad58, 0x4f84f98e, 0x88bc4367,
+    0xefc428c9, 0xb49e2cc0, 0xeb599c33, 0x582a9300, 0x73eb20c2, 0x695cda3d, 0xd5e33731, 0x883b3b0f,
+    0x5e2a5612, 0xe82778e8, 0xb7cd6286, 0xecd241b6, 0x069aa95c, 0xf8eedecf, 0xaf6560d7, 0x1cf4bc7c,
+    0xe41fb1a8, 0x34c74df7, 0x835f34e5, 0xee384ea0, 0xf102e0ea, 0xc1c993eb, 0xb19aec97, 0x9306505c,
+    0x323ebbc3, 0xfd18fe33, 0xa73dbfef, 0xea57c320, 0x5edb3d0d, 0x0383e98e, 0x17b71a4a, 0x46038118,
+    0x32ef1731, 0x101af853, 0xc582cbcb, 0x5cfcc60a, 0xaab380e3, 0x64fdac9d, 0x28cf8a8e, 0xa41bbe52,
+    0x248f52ab, 0x44641599, 0x67486a38, 0x6a5c80d2, 0xaccabe4a, 0x5a3a713e, 0x3678193c, 0x9de14b6b,
+    0x756ac43b, 0x0372952a, 0xf705d828, 0x59f95749, 0xc20d77b4, 0x7e722344, 0xbe37b7be, 0x25e33004,
+    0x7c53a6aa, 0xa3669598, 0xbd28d8c5, 0x9935fed5, 0x9502b463, 0xf6df5ac8, 0x4c4e8fe7, 0xa17956c4,
+    0x69414f5d, 0xcdad4e1d, 0x8fc944c1, 0x140b8b88, 0x14337019, 0x2cd191dd, 0x8cd177dc, 0xc04317fc,
+    0xf8d4ff49, 0x44543231, 0x7e6eeeb3, 0x8d8ede3c, 0x3683b6a1, 0x34cbc5b5, 0x4482ace7, 0x6963f354,
+    0x8f5fd0ab, 0xadd35947, 0x72dee02f, 0x2ea6ec07, 0x6785af82, 0xc6bc3f3e, 0xff52806d, 0x0a0229cb,
+    0xb2c6da8d, 0x588e3e1a, 0x3ea1abdb, 0x8c65e0ce, 0x22e9d1fd, 0x50e9d1cc, 0xe052d570, 0x47eb994e,
+    0xd7e5ffdb, 0x4f3b31de, 0x66b8af54, 0x66232fdd, 0x98f7dd18, 0x9a0e186c, 0x928305c7, 0xb96fb6d0,
+    0x86748bfe, 0x74ec9c7b, 0xd2bd5755, 0xecac6aff, 0xeff4d83f, 0x21f646e3, 0x035152ab, 0x8ceedf9b,
+    0x1a9aecbb, 0x66a683e3, 0xa3ab5e46, 0x6d01f9a0, 0x377f5ace, 0x20b449c7, 0x26054af4, 0x35602373,
+    0xe6e91c3d, 0x5cbb3e07, 0x6b5cfdd0, 0x8dedf1da, 0x886c3f34, 0xea7bdc79, 0x20256e3d, 0x81129e5b,
+    0x80ec958c, 0xe52c7505, 0xf1baf981, 0x944e22b0, 0x1d2bc166, 0xa17d9d01, 0x71892146, 0x18b68988,
+    0x0417a0d7, 0xbaf6a1d6, 0xde8d16b2, 0x922b6c55, 0x8c79e413, 0xb46b23e0, 0x357238ba, 0x7c91e63d,
+    0x4c9c7e13, 0xbcf28f4b, 0xb798722a, 0x7830ea75, 0xdfc4b6d0, 0x7dffe6df, 0xf719b76d, 0x888558cc,
+    0x97b2d5a3, 0xa6a558cc, 0x06a8ff13, 0x1de9c674, 0x60c6b8a8, 0x047cfaab, 0x306ffcce, 0xa827a630,
+    0xca050208, 0x60a05ee7, 0xda898635, 0xeea27e84, 0x202577e8, 0xb3ce4936, 0xccdea491, 0x3676563e,
+    0xa852046b, 0xdad1e37c, 0x01043b17, 0xa353c14a, 0xbd3f1630, 0x98efb1cb, 0xe6c93ff3, 0xef4518e9,
+    0x69384647, 0x5094d631, 0xb79e72b6, 0xabc98909, 0xc89cb211, 0x19f6e77f, 0x38f05bfe, 0xf38f0518,
+    0xc2797696, 0x5cda19e6, 0x17251b23, 0xc540a668, 0x2ae5b5d1, 0x82a11863, 0xf09de97e, 0x15395396,
+    0xcfb2088a, 0x5caa9344, 0xadf737f1, 0xa00a989a, 0x83217a16, 0x97609f66, 0x3c5c06fa, 0x72b26140,
+    0xf3092621, 0x21ddb075, 0x8f4b72bb, 0xd58a5b53, 0x4ddc65bb, 0xe735d049, 0xf5ffb359, 0x7d61b1d2,
+    0x4fc34bf8, 0xa259dae3, 0x9e40122f, 0x6abe76c4, 0x230ed562, 0x51b37f99, 0xb4dc0240, 0x484cb04d,
+    0x41535916, 0x84a4786f, 0xa1aa5489, 0x043b92b2, 0xb1edefff, 0x2c744da1, 0x69c3a0f0, 0x8aa55ec4,
+    0x8b97d827, 0x01b1be33, 0x0e87935f, 0xd6e8fef7, 0x1190d6f3, 0x633aaec6, 0x12175ddd, 0x2808de30,
+    0x6eaa364a, 0xd49f36f7, 0x3b1d1e8f, 0x3a8a0ad2, 0x2b4bbb24, 0x44cf9aa1, 0xb779d1b9, 0x278ef6b9,
+    0x9a0736a4, 0x43e2e019, 0x8ea91d83, 0x0a2c8fab, 0xc3d4a85c, 0x6f6557a1, 0x86e8af17, 0x986a62af,
+    0x9f0188a2, 0xbf1fdf88, 0xe71feefd, 0x844b45c6, 0x7bdea0f7, 0x81dcc56b, 0x31954ed7, 0x0035e649,
+    0x71ca1801, 0x764ba48b, 0x1eee2e40, 0xb3244101, 0x3e8682a9, 0xf041d778, 0xe3ed3df4, 0x73cd045e,
+    0xd58f69c1, 0x675a3f4c, 0xcdc55134, 0x8539cf24, 0x71776383, 0x1a9f12fb, 0x9cb1c32d, 0x516026d7,
+    0x3a994746, 0xbd03a363, 0xffbf74d3, 0xe6064236, 0x86313a2b, 0x95756da6, 0x20d8a7bb, 0xd425555e,
+    0x3275b4fa, 0x0fa09427, 0x3f8503dd, 0x43446e89, 0xa0755bd7, 0x76f6dc77, 0x9ef34348, 0xceda2121,
+    0xa1678306, 0x97bbe097, 0xa082a1be, 0xe637dfc6, 0x80cd3d43, 0xa7e0f5eb, 0x492d4d20, 0xeef04ae3,
+    0x2004588c, 0x691a7e09, 0x8bbf1933, 0x7d7b8352, 0x8cc150e2, 0x69d52260, 0x939aa059, 0x590858c4,
+    0x96abf66b, 0xb4005ced, 0xcdb054ef, 0x9f05f204, 0x10c19f50, 0x812b163f, 0x1fe648c7, 0x4ac32ae5,
+    0xcfc76722, 0xdf3654dd, 0x34b9114b, 0x91b76711, 0x9a0f8d94, 0x79294c4a, 0xf30452e4, 0x440c6d4b,
+    0xa6a9f6aa, 0xdcb59568, 0x006ddc90, 0x2ab144de, 0xe37b6847, 0x1b6be453, 0x20b78b27, 0x0398f407,
+    0xb10417ec, 0x1451cdc5, 0xcdb3578d, 0xfe7ec171, 0x755cee4e, 0x87f85851, 0x4adc2888, 0xe938e87a,
+    0x984d1ad7, 0x2643b669, 0x0ec8447c, 0x045fa01d, 0x7435ab62, 0xac17a049, 0x83d832a5, 0x0c613f03,
+    0x078e5def, 0x5a032a35, 0x4928e81a, 0xa6841455, 0xf0872abb, 0x8728b83a, 0xab291a6f, 0xf2e07795,
+    0x052bc732, 0x15351575, 0x7d02b943, 0x5e99a2e5, 0xe842e514, 0xbed6ddaf, 0x4fb34670, 0xb8757898,
+    0x7894f2b4, 0x32b3c66d, 0x87b8de30, 0x24c9aa0d, 0xd654a91c, 0xd1b04972, 0xf175de24, 0x5085fcf2,
+    0xd413edbf, 0x2d5d085d, 0xe91b5dd4, 0xe5495e8c, 0xf5348aae, 0x333e2cf2, 0xe019b45f, 0x80743864,
+    0xe23ac5fe, 0x1cc2bbf6, 0x78171f8f, 0x7e8b819e, 0x437e4117, 0x6f298c9a, 0x6fbbae40, 0xd14f876b,
+    0x5d0ecfc3, 0xe1ddc3ad, 0x28ba2e8b, 0xce6cda99, 0xacf20fc5, 0x1a7b9f81, 0x79283ef1, 0x9ee500b3,
+    0xad4a1c0e, 0xdae2ef7c, 0x1c427d93, 0xce5be2e7, 0xff901f32, 0xe0273cf1, 0xaee7d628, 0x8ad8a09a,
+    0x1e658040, 0xf21f77cc, 0x1708cd81, 0xd23d2e10, 0x1f57e97d, 0x958899a6, 0xa6ed61eb, 0xce0aa746,
+    0xc4aff7fb, 0x82532e49, 0x264fea20, 0x1b5d0bf0, 0x4ec6c33f, 0x89c2edb1, 0x6de767e4, 0xcfd9fd55,
+    0xfde3eabe, 0x1c3e2c02, 0x1d25f123, 0x774a2ed3, 0x2a306c4f, 0xffc73943, 0x7d2ef070, 0x6b832ea8,
+    0xe7fa6394, 0xc1d5913b, 0xb6fd2251, 0x1bc756be, 0xefea0f05, 0x71d17f4d, 0xc52da112, 0x6ea5f6fe,
+    0x6a0702ab, 0xbeab08be, 0x4f8a4a91, 0xb5fa58ab, 0x972ac253, 0xe2f8e9ff, 0x8f779628, 0x2909408a,
+    0xb8900128, 0x11aa8da8, 0xe2a0fc59, 0x96c82af4, 0xc386694b, 0x70ef5872, 0xaa35b64b, 0x431c610f,
+    0xce38c04e, 0x5968b164, 0x267e6044, 0x8e562fcf, 0x7e8ba133, 0xd4fe9395, 0xaca73fd7, 0x93488c63,
+    0xe8daa9a8, 0x1aec69d0, 0x7451a980, 0x212684b8, 0xbd1f42d9, 0xec8ffe5a, 0xa86f47b8, 0x6f396ce6,
+    0x3cccc640, 0x2271eb07, 0xa01aa821, 0x3aa4c7ec, 0xd0004962, 0xf6f63703, 0xf13491af, 0xd1ea5928,
+    0x9372b174, 0x22c3e633, 0x462ef548, 0xf5be2bd8, 0x9821e841, 0xfe266002, 0x63cf5551, 0xa2d0a722,
+    0x1724a469, 0xa460c35a, 0x486354ee, 0x44044f74, 0x2f52b5d6, 0xe2dbf83b, 0x8783c5ed, 0xd345abe1,
+    0x96e0852f, 0x9431f7f8, 0x5c902ccc, 0x1ec6f512, 0x317b1679, 0x4e4aea87, 0x484ad7e7, 0xb8daf06c,
+    0xe96de122, 0xa90d2039, 0x18004d60, 0xb7f5be49, 0xdd2fec4d, 0x3aa5fa6c, 0x7be28494, 0xe6af0028,
+    0xcf222061, 0xcdaeed96, 0xe4c899e1, 0x2a6e7eda, 0xabccec81, 0xd76fa72a, 0x4bf0a1a9, 0x870d1c35,
+    0x01cbdfe0, 0x13a52fea, 0xf579fd79, 0x029de6b3, 0x9eb5a3b0, 0xdb22afc8, 0xf42b6f2f, 0x304fec3c,
+    0x42bbc05d, 0xbd766541, 0x837d1c10, 0xc8d0b480, 0x1027846b, 0xb6b30d1b, 0x57f25e1c, 0x829abc1c,
+    0x202fbc0c, 0x6f38ac44, 0x77780c16, 0x79ec1efb, 0x2a8628ac, 0x0ab13f33, 0xbdbfc2a8, 0x7727eb3f,
+    0x902bd50f, 0x2d77b161, 0x7f1bcf18, 0xa8379e79, 0x109e20f1, 0xfd73e26a, 0xa01216a7, 0x5ac983f4,
+    0xb2638479, 0x8a267a50, 0x9a3ef195, 0x3a605294, 0x1505b616, 0x111f47bf, 0xcc32d129, 0x16ba9409,
+    0x8672d732, 0xedff8a8b, 0xae69bfb6, 0xd42e6f9f, 0x1da45dc3, 0x94e212d2, 0xd027d187, 0x634bf9e3,
+    0x5f44b961, 0x8264085d, 0xe57b57d1, 0x48ef535a, 0x13e1df0a, 0x76115f8d, 0x13a70420, 0xb0bb7ee4,
+    0x14e54d3c, 0x9a806e3c, 0x3914576a, 0xfb870cee, 0x70bb4936, 0xa6cebb5a, 0x7de7e901, 0x4259b5f0,
+    0x3a63d34a, 0xdb519b7e, 0x648cbc59, 0x541037c0, 0x3e59e227, 0x017e740e, 0x343a73d0, 0x9ad9c668,
+    0x4085225c, 0x4af2be61, 0xa604fd68, 0x262d6550, 0x3d01ca3e, 0x5f03ea35, 0x6e281059, 0x78fbd6c3,
+    0x84dafcec, 0xc851d864, 0x3637606a, 0xe9247227, 0x184936c5, 0xd58068cb, 0x5d76f2c2, 0x44efc0d9,
+    0x9fc00f7d, 0x058a43c3, 0x767eba57, 0x35971d62, 0xfbd57d29, 0x505b0b99, 0xbadeea35, 0xc735fef0,
+    0x23c40b77, 0x3bc37db3, 0xe9e9e5bf, 0x0ab7f4e9, 0xa409824c, 0xbd1cc80a, 0xe7319620, 0xf637792d,
+    0x3ac53d10, 0xaefc8470, 0x3283bbc0, 0x419c5589, 0x4fba255b, 0x49f58493, 0xddae8a5d, 0xfac75fb3,
+    0x526234e3, 0x71e030b5, 0x727e760a, 0x5ef833de, 0x4b63abf3, 0xab94c592, 0xb6fe37d9, 0x9b786452,
+    0x8d0da929, 0x707f70d9, 0xa464dc6f, 0xf9598477, 0xdcd3538d, 0x53af0a9b, 0x0d3eb8eb, 0xb174a25d,
+    0x61cc6254, 0xbc6f9253, 0x98353206, 0x1c5958b0, 0x728d443e, 0xb41011d0, 0x1e3c780b, 0x7243c473,
+    0x1dc8dffa, 0xad2993da, 0x62da814e, 0xe823fa91, 0x58a8ddd4, 0x7cc8e5b0, 0x749ec0a4, 0x1dfe11a7,
+    0x323d4093, 0xf4d58ac8, 0x06ec0ffb, 0x672f8833, 0x0316b2d1, 0xd3a1bf59, 0xd9f78ebd, 0xf61fa801,
+    0xccfcb81c, 0x6b54a8ce, 0x38301113, 0x65f69024, 0x62bee9a0, 0xa5233ea1, 0x0511663d, 0xebf58e92,
+    0xe5f8985a, 0x0ba97a40, 0xcd5c9a20, 0x1d2bd0b2, 0xb732106e, 0x5775b6b3, 0x65e31aad, 0xb6f6997c,
+    0x248e7806, 0x6bef3661, 0xcb246fbc, 0xa124607d, 0x9f4ee5ad, 0xcc432504, 0x649369ad, 0x9a77df38,
+    0x56988c17, 0x493f85ce, 0x86b91b3c, 0x04787a60, 0x695793d7, 0xb305a219, 0xb9175df7, 0xd2781e53,
+    0x9c6cf932, 0x91724576, 0xeb8b36a0, 0x0dba6861, 0xed0b92d2, 0xbdce9c6b, 0xf7524c26, 0xd753aa80,
+    0xad72b2be, 0x0e10baac, 0xe0894f97, 0xeb378855, 0xccec1919, 0xb944167e, 0x541e997a, 0x1368c903,
+    0x26d0e20b, 0x408c6830, 0x8d335570, 0x849e6a74, 0x7dfaa5f2, 0x97b2138f, 0x8f1ba00b, 0x9a1878f5,
+    0x6165887c, 0xd55eb088, 0x63a912bd, 0x2a8763c2, 0x86935594, 0xd79d890b, 0x06ef4dd1, 0xb4134047,
+    0xc061244c, 0xbc5f9f26, 0x5341b726, 0x1e47f256, 0xefc137b3, 0xcc4fadfd, 0x29ea1b77, 0x95a1db89,
+    0xd0aa0041, 0x68b5ecaa, 0x78bdbfc3, 0x32a1526d, 0x35ce8817, 0x5d1fe319, 0xdfa82a22, 0x66727dbe,
+    0x8b01d8c8, 0x49a7e863, 0x2bbef4d1, 0x8a43f9a6, 0x9a14c88c, 0x75f8d5ea, 0xfdee1c7c, 0xfb33b854,
+    0x7dcb052c, 0xfe90e2af, 0xfa7c7c42, 0xcc3b695f, 0x7299f409, 0x239a3fac, 0xc7dbf67c, 0x4d33cd0c,
+    0x0618c52f, 0x8f8ebb46, 0x32af3c96, 0x6b0643b4, 0xed66de42, 0x40dbe4fd, 0xb7f31f28, 0x6e97aac9,
+    0x12f4d706, 0x5ec8e488, 0xe22b054c, 0xa1cc7659, 0xc994cf6d, 0x30dba6bd, 0xa90ad898, 0x6903c5fb,
+    0xc817d64c, 0x1af75a3d, 0x7a54daf4, 0xa231eb92, 0x80b74e54, 0x4fcc2bc9, 0xe77f2c7f, 0x7a0333da,
+    0x094b2f61, 0x1a36c9ab, 0x6fe0324a, 0xdf9d3a7b, 0x755b3932, 0x457fc581, 0xba3f5e00, 0x90a81c56,
+    0x3e599706, 0xf414a7ef, 0x3cb449ab, 0x7332e378, 0xa0cbd345, 0x24d2256c, 0xd0fc3ee6, 0xec807766,
+    0xa1348d30, 0x73c0c05a, 0xd9b6253b, 0x9a41da8e, 0xfed73d6a, 0x49e458f7, 0xeef7f466, 0xe5fdd0fd,
+    0xc3251150, 0xb24db95f, 0x60895199, 0x61f8c9d3, 0xb8ec1fee, 0x89b3592a, 0xfc223d7a, 0x1158771f,
+    0x9e164a57, 0x25a69f41, 0x554177c2, 0x03a1e455, 0x14173c5d, 0x403ab54e, 0x4635f8c3, 0xb5af6f30,
+    0xe0e5c52d, 0x039f2594, 0xd3a7fbfd, 0xec171dcd, 0xe674bf73, 0xe9ad0175, 0x50d3dd38, 0xedd5525a,
+    0x32baca00, 0x13c14087, 0xb4e89658, 0x789a6c41, 0xa3253611, 0x4fef33cf, 0xd228ca63, 0x841b8feb,
+    0x4542a198, 0x466bcba6, 0x4ba3d6f8, 0xb3a22983, 0xccd2bcee, 0xc95292c7, 0xaff147b0, 0xe84b6a15,
+    0x1c3e9d92, 0x88df41e5, 0xef9e981a, 0x76ddac43, 0xf52fd233, 0x40a964f4, 0x26838b13, 0x12d8aff0,
+    0xddceffa2, 0x7465efa6, 0x5dff716d, 0xc27ef692, 0xa628d2e9, 0xb7b719da, 0x5089b658, 0x6d3cabcb,
+    0x769ab0a0, 0x2f6c3665, 0x53584866, 0x1ba8bf8f, 0xfa259a2b, 0x1af58959, 0x883bc210, 0x18d909a1,
+    0x925c1ef3, 0xebbcbefd, 0x11900eb2, 0xad5a1c45, 0x29b9023f, 0x5b0d3c2a, 0x6b33f46d, 0xf6ed55ee,
+    0xe523c02a, 0x3c085d91, 0x48808429, 0x3b50d4fd, 0x77f6ba47, 0x21ae1084, 0x3d382b9b, 0x1abd5eae,
+    0xf454ad6f, 0x04c37816, 0x220b67eb, 0x4e5fad3b, 0xea2fbb3f, 0xab20e0bd, 0x142953f4, 0xf20b1d3f,
+    0x698fac65, 0x2806b8e3, 0x52d4e537, 0xc85ea8e0, 0xf547243e, 0x56bfe44b, 0xf3c17e4c, 0x9728e795,
+    0x2e8d4c47, 0x0bca832e, 0x82b1a387, 0xe1eafee1, 0x6c821147, 0xa0458eae, 0x22e0f547, 0xb007ab2c,
+    0x389aa616, 0xe26fbf55, 0x084cf88f, 0x0ab54de7, 0xb1a5a9b4, 0xec8ed926, 0x2b38b949, 0x7d056e82,
+    0x6fceb4cc, 0x9c9f5968, 0xb0ce4a9d, 0x96fc3c82, 0x4f75076f, 0x39ba85c0, 0xbd7dd9ce, 0x8df0c54a,
+    0xb186f8a2, 0x0899ecc6, 0xc8ff6acd, 0x6cb2b14b, 0x1bde29a7, 0x2e2f8ff3, 0xbe62b4b9, 0x98c78304,
+    0xfdfca37b, 0xc2a72fed, 0xd1b53b8d, 0xc6a78ecb, 0xf493cf00, 0xb0b832b6, 0xe049cba8, 0xcaa85d52,
+    0x5b39a5b6, 0x3935c96b, 0x1655431b, 0x544b5c07, 0x6bcfd963, 0xd422c18e, 0xcb94e4ca, 0xbf21d959,
+    0x1b9e8660, 0x858ad8e7, 0xdd4696a7, 0x5e550a62, 0x7f2f2707, 0x24fa64f4, 0x7f5d8871, 0xd0f1dada,
+    0x0cfd9fd9, 0x149de8df, 0x5b494564, 0x0e7c41f1, 0xc79e9ec5, 0x4e0c7ee1, 0x14d3eae8, 0x7a33f364,
+    0x2c272e62, 0x68b72af5, 0xe0f53e4e, 0xb0da976e, 0xab15bb48, 0x577cd1a3, 0x6f095368, 0x74d38ff7,
+    0xcb063b51, 0xf8facbfa, 0x48197459, 0xce3b1377, 0x5bc0279f, 0x88ccc7a4, 0x9f4d0009, 0x302cefeb,
+    0xa96f7745, 0xb6cc40e0, 0xf7379721, 0xcb13830b, 0xe138ad6c, 0x9891f005, 0x88e5d885, 0xcd49fe0d,
+    0x06e8a5b8, 0x930b6b0a, 0xe40ff213, 0x3a8ddf52, 0x7d62484c, 0xf6950234, 0x7bd34fa2, 0xe24d2797,
+    0x00000000,
+    0x4a049663, 0xda812016, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000002722258935367507707706996859454145691648 */
+  { 0x00000000,
+    0xf60eae41, 0x7381816f, 0xf2cb30ae, 0xd87f9f96, 0x4735c74b, 0x7497276c, 0xc5ce2900, 0xfa154458,
+    0x88ae6a8e, 0x965ceaa6, 0xa0bc98b9, 0x152a629b, 0x62f8f918, 0xb464576d, 0x5a79b493, 0x9c98966f,
+    0x01cc26cc, 0xaabc560e, 0x9a6c59ec, 0x776e0908, 0x5585d57f, 0x8e556905, 0x3aa0e015, 0xb4b3cc06,
+    0x04b832e6, 0x6b3b96e2, 0x7bec97e8, 0x2ddf392e, 0x7587332e, 0x5ebebf56, 0xe90a07a1, 0xe1363f93,
+    0x34c3bcfd, 0x30d9e8b6, 0xa569bd26, 0x38ede7f4, 0x8c4dea6d, 0x35712937, 0x8216c132, 0x528b6365,
+    0xe51f7f2c, 0xfebd4998, 0x030d0539, 0xb5aae5ec, 0x6fb53995, 0xcbd34248, 0x758b9cbc, 0x7834a153,
+    0xdc54f53d, 0xead6ba4f, 0xc0767fc6, 0x13d1cbd7, 0x69210707, 0xdabac503, 0xcb6a43e0, 0xa6fe8540,
+    0xbc704eaa, 0x66672952, 0xd3f2e9fe, 0xe0883786, 0x58c807e6, 0xe9e88648, 0xf4bc1cc4, 0x868501c7,
+    0x00b14cae, 0x93cc6c14, 0xb2997f55, 0x56a1a5af, 0x3b570413, 0x48701f97, 0x2aa02cd9, 0x3738c0d0,
+    0x368e2577, 0xd54b5275, 0xe1265f6b, 0x96b9464c, 0x955171fb, 0xcd5929a9, 0x1faa056d, 0xd8ea04c2,
+    0xfdd02e35, 0x6d367eff, 0x5d63a4e0, 0x53a4b421, 0x9da5f897, 0x1b004f23, 0x83fd5f7f, 0xea6a32f2,
+    0x262a0360, 0x76743be8, 0xf848b003, 0x7d1cc8cb, 0x2623e950, 0xc1b26e54, 0xfcff873d, 0xc76e1bb2,
+    0x93c2e37f, 0x0d93a428, 0x8c31fa0f, 0xa6114bcb, 0x7f958a8d, 0xa4a34dac, 0x01e6e1c4, 0xd79bc001,
+    0x5abb8fde, 0x6463ec36, 0xd392e792, 0xc0a0f836, 0x53de4097, 0xd2830312, 0xf10d540d, 0xc4432da8,
+    0x4f57966f, 0x5a0bcfb6, 0xd6f2f6f6, 0x96a0387d, 0xd2953b05, 0x9025566c, 0xf3b689cc, 0x52f6e1b6,
+    0xa07a9d04, 0x28ba4b1c, 0x9d91e942, 0x0a970670, 0xed464ffe, 0xebd4b397, 0x4c9602f2, 0x296b2d59,
+    0x47bae115, 0x23a6ad0d, 0xef31019f, 0xf75e97d1, 0x6ed42ad8, 0x517e321c, 0x72f0e732, 0x63fa3a0f,
+    0xd3af13ad, 0x03b60747, 0x4cc8893d, 0xa0ee37ca, 0xdd33f4dc, 0xfddb85fe, 0xdc116d15, 0xe2f3a2cb,
+    0x72aae794, 0xc1a9773b, 0xe283216e, 0x5f3e9c98, 0x6f991f69, 0x44407136, 0x5f7b2bf2, 0x27da76bd,
+    0xdcb9cb32, 0x8b21f645, 0x3b306b5e, 0x7b2bede2, 0x5d79d4ed, 0x62074391, 0x78b82ee7, 0x0aca848c,
+    0xed56b84c, 0xca818d4a, 0x9fa22431, 0xf322aeed, 0x5873ae2e, 0xf361a96f, 0xf14a0300, 0xc0acdd75,
+    0x8cc5604e, 0x39112239, 0xaf228a1d, 0xf2d38095, 0xdddd089d, 0x65370647, 0x814412c1, 0x472523e8,
+    0xf3b4ea07, 0x4a83b053, 0x70c05871, 0x7c57c3af, 0x6b89ff01, 0x3c827e85, 0x3994c8e8, 0x0d9efc2b,
+    0xc7542116, 0xb100f3d1, 0x1e818ca6, 0xc6be97c5, 0x1c27208d, 0x4f71cb4b, 0x0d80aa1e, 0x68116f4a,
+    0x1565614e, 0x47fd14d2, 0x9f6b2b11, 0xb546a15c, 0x1cf03e38, 0x8a4b05ee, 0x5b858ed2, 0xc2d2d37d,
+    0xe37dca62, 0xdd6f9af1, 0x51e55feb, 0xbdf7659b, 0xb1f57b7e, 0x629014c7, 0xb9c561aa, 0xb177432c,
+    0x99fe9e93, 0x157a6c30, 0xc4e26cef, 0xeb8b31fd, 0x74ee4b11, 0xe219ff74, 0x29004f45, 0x22299282,
+    0x546e4907, 0x50f9c2e5, 0x7acf6a08, 0xef2aa301, 0x3c1b665e, 0x52eb49f8, 0xabde21b8, 0x73761385,
+    0x136bc4fa, 0x0aba76a6, 0xcd8606af, 0xea1f99b7, 0x53ffdec7, 0x0f212038, 0xadb11f02, 0xc798066e,
+    0xc8a37857, 0xede7fb5a, 0xd36f9245, 0x43bd050d, 0x78d8a936, 0x06c40e9f, 0x7b854c54, 0x8525524a,
+    0xacde5bec, 0x93d23604, 0x225cefa9, 0xcede9430, 0x1e998274, 0x846bdf66, 0xc97a3e23, 0xbb93eb1f,
+    0x2e787ea3, 0x7c7add8d, 0x397936dd, 0xb989cfb5, 0x62358174, 0x6789eee7, 0x1815ec15, 0x665bc48a,
+    0xa0fe7986, 0xad0c2b69, 0xa7d60589, 0x38461a60, 0xe4e64b48, 0x96ad3892, 0x6fbc1023, 0xb4c198c3,
+    0x2d826a24, 0x206a642c, 0x98d3f66e, 0x6a10b640, 0x3c1866c5, 0x66c805ca, 0xca29d2f0, 0x4879b0c1,
+    0x7df9956c, 0xce91a755, 0x43b94f30, 0xbe62ec35, 0xe17ee75a, 0x4aa0dca5, 0xea1f753c, 0x9130fd6d,
+    0x2d770d92, 0xc0e1bbfa, 0x2a87baec, 0xb2c58def, 0xb2d8a640, 0x489d3ab4, 0xa63fae41, 0x81f8dfd9,
+    0x5a44bed2, 0x13ae8657, 0x456c4880, 0x67e5c5ae, 0xf270cb79, 0x1cfc9e0c, 0x06ce0aea, 0x6aefe187,
+    0xfe68e8b4, 0x0c311baa, 0xf0fd6129, 0x99cc66fd, 0x4eb8b9f6, 0x565b7a9f, 0x43610278, 0xd925700c,
+    0xfbebf8da, 0x7546ffcd, 0xfbded48c, 0x768dee39, 0x40fe697c, 0xc40c644d, 0xb880e25a, 0x0e58efe3,
+    0xed2ec6a5, 0x0d616e31, 0x2c0f629e, 0xee7efdd9, 0x5a6a49bf, 0x37a5871f, 0x92ab6f2f, 0xeb9a9120,
+    0x57dc94fd, 0x48bd67fa, 0x8c3fc5c0, 0xfac2bd8f, 0xdda3cf78, 0xc872ce49, 0xe5ef7064, 0xee33fb5f,
+    0x5ff1bd77, 0xd0834ae9, 0x95bf9613, 0x9a0d23d6, 0x0d73d765, 0x1a7a0408, 0x1ea1b897, 0xbbe159bd,
+    0x8f477e2d, 0x3dcb0861, 0x852fda7c, 0x6297cc5c, 0xddb1780b, 0x3fa23840, 0x40f3d4be, 0x57c7b50b,
+    0xd6e817e4, 0xa766f7cb, 0xac424625, 0xb1017913, 0xf1faae91, 0x3d4bd623, 0x2efcd0f9, 0x202949e6,
+    0x10f35123, 0x7a3eca8f, 0xaec09efa, 0x7df9ab9d, 0x277c9bdd, 0x4abbc3f2, 0x58af236d, 0x2decc05a,
+    0xa65b811f, 0x516ce14e, 0xab53c317, 0xab84bdf0, 0xe42c2733, 0xe47135d3, 0xa962a031, 0x71dcdc5c,
+    0x1523aff1, 0x20740139, 0xadf41171, 0x24c697ae, 0xe88c30ff, 0xbeb61ca8, 0xfc986933, 0x00041bf9,
+    0xea2c5d8c, 0xd68175bb, 0xc60b9fe2, 0xca711c81, 0x1ae6c077, 0xf9adc909, 0xcc296aac, 0xe6ee2cf8,
+    0xc65b2d20, 0xc786470d, 0x5fbb8d6c, 0x4d8ef2f4, 0x41bf67b1, 0xe09692f4, 0x2cc76be3, 0x547e86b5,
+    0x124d4bbc, 0x18dc4df9, 0x28eba5ac, 0xb437a198, 0x9ba7e112, 0x8c2c9168, 0xb3863d08, 0x811b975f,
+    0x5a4443c7, 0xc6442cbb, 0x4207191a, 0x0abf4cfe, 0x8616bcbf, 0xe4a7d0ae, 0xf0ca263a, 0xa5fd9437,
+    0x08f2c89f, 0xef349455, 0xe8f33454, 0x73bc11f5, 0x11df779a, 0x0ff3d898, 0xbffd9e7a, 0x55f13fc7,
+    0xd2463a44, 0xcb57e2f5, 0xf29af107, 0xe8fb1eb4, 0xd339f97c, 0xef5d2f4f, 0x73ffbbc3, 0x513174e3,
+    0xd2a0fe99, 0x63bd105e, 0xae4580ec, 0x010e04e2, 0x5d41ea8a, 0xfe280308, 0xd033d5ef, 0x7105ca7a,
+    0xda2b4d44, 0xd483f996, 0xa9611a0d, 0xef96687a, 0xc1379d48, 0xb9cbc515, 0x21a31533, 0xe036d63e,
+    0x5e6c3210, 0x0054b588, 0x96a769be, 0x5e89a1e7, 0x85784e01, 0x3dcffc12, 0x141449be, 0xdf3bf500,
+    0xe15adfcd, 0x87579acf, 0xcbaa27d6, 0xdc38d7f2, 0x78b4b243, 0x4a90bc36, 0xad1e81bc, 0xb79d249b,
+    0x182146a0, 0xc1a4dc3d, 0xe8a04186, 0x2fc154d9, 0xfd18509e, 0xdd71437d, 0x1e73882f, 0x59443486,
+    0x882db340, 0x4af9d4c2, 0x86661e68, 0x96e90e6a, 0xd57564f4, 0xa05abc25, 0x24265307, 0x8963939b,
+    0x626894bc, 0x10e76138, 0xf1ca6d38, 0xb9012bab, 0x176cd699, 0x41093b4f, 0x4aaa2bab, 0x237eccc3,
+    0x6e143ce9, 0x5e9df026, 0xece4ce64, 0xbf0bf256, 0x984a4d2d, 0x467097d5, 0x60df0d25, 0x2c69e161,
+    0x123f5526, 0x333fdee7, 0x6c400b10, 0xa0b0e69e, 0x8c37d3c2, 0x9a16b235, 0x5d6d048d, 0x416d8e6a,
+    0x85801efb, 0x8b932314, 0x081dd681, 0x83f96449, 0x35110144, 0x422deca7, 0x9c44929a, 0x01bae5bc,
+    0x8e11a403, 0xa97630af, 0xc23cc046, 0x6c4c10d3, 0x3bc25927, 0xe5c833f2, 0x9c6b8bf1, 0x38ba7063,
+    0xd0e425ed, 0x3090bbc0, 0xca3ed223, 0x82efadbc, 0x209eb397, 0x3f936dd5, 0xb4eae8c2, 0x371c6915,
+    0x619fa684, 0xdd982bec, 0x92858a8a, 0x009576ca, 0x59170323, 0x5cecbadf, 0x2332e240, 0xeb2d7bc2,
+    0xa705f950, 0x29aa2ccf, 0xf7ea0883, 0x847956d0, 0x18641180, 0xea34a0fc, 0x6d2d039e, 0xb5760470,
+    0xfcfb24d9, 0x58002f39, 0x6aec4898, 0x16e82d75, 0xd464a1ce, 0x6b8d276b, 0x4f1637d1, 0x6f3578b1,
+    0x6669e03d, 0x872bde92, 0x0a0a81a3, 0x620eb967, 0x94939495, 0xd02823f0, 0x86285e51, 0x9c1109ed,
+    0x3e66ccb9, 0x0ec2f3f1, 0x6befeef5, 0xdaae78fe, 0xf3e5a299, 0x414be132, 0x51f62a4b, 0xa16b08c8,
+    0x53d59ea9, 0xb8ea5e0c, 0xef774a4d, 0x9d6f01b9, 0x9a23bc76, 0xd79e6bd6, 0xb4caee95, 0x305e3d13,
+    0x8f5b16ca, 0x935d85fd, 0x593a97df, 0x0c5adcb8, 0x3cce7c75, 0x4f22ecef, 0x13483d78, 0xe76f491c,
+    0xf5a04180, 0x288895dd, 0xa1de71fb, 0x15bc64b2, 0x5f982ec6, 0x1644fd36, 0x7012cc1d, 0x7e85fcb9,
+    0xc3a94f5c, 0xc5b8fbee, 0x2567cf9a, 0xff74af6d, 0x61837d75, 0x4f59affa, 0xbc112819, 0x556875e2,
+    0x900ed734, 0x7262e5a6, 0xd87c2b1f, 0x9746037f, 0xf2609f0a, 0x63dc0d75, 0xe39f4aac, 0xbeafe59e,
+    0x7ab48a90, 0x656565b4, 0xf55f78ab, 0x90041a38, 0xeea5f881, 0x4b30a6d5, 0x6f7592c0, 0xeff8d6ff,
+    0x7243f658, 0x6329df36, 0xe9185264, 0x68941ab4, 0x49e55d94, 0xd647b4d4, 0x2d50cf0a, 0xc27e10bd,
+    0x00c5a390, 0xfdf5125c, 0x79323633, 0xef9caca8, 0xd0c1392b, 0xb3f3e7b6, 0x1cf653dd, 0x6a821b79,
+    0x137cb618, 0x3d970b42, 0x00ee6287, 0x9bbaf126, 0xc558a5d1, 0xf11a0894, 0x699a8628, 0xfaa840ac,
+    0xb1ecfbe3, 0x9eb359f0, 0x632002cd, 0xe08bd830, 0x90cf9181, 0x3d50f9af, 0xb9c137b3, 0xa96b1f67,
+    0xef6e8271, 0x60863071, 0xbb7a5a74, 0xb38447ae, 0x8b6d611c, 0x5dcbad7d, 0xcf6910d5, 0xe814d3b0,
+    0x7b5584ec, 0x0e53be33, 0x1e6e9e66, 0xfff096ae, 0x96efa9f1, 0x71f533b0, 0x716da3ae, 0x0ef65a48,
+    0x580189cc, 0x3d4d447b, 0xa3bfe3e3, 0x311f7b4b, 0x6066b73b, 0x2aa64b1c, 0xd45dd44a, 0xcec04a0a,
+    0x9357c12b, 0x06bfb300, 0x85aa38c7, 0xf546425a, 0x99417b5e, 0x8036d2c1, 0xdbf8a4f1, 0xbb4d0c55,
+    0x094ece92, 0xb768cfcd, 0xa861db72, 0x6aaad49c, 0xd1ae044e, 0x4f78bdf8, 0x6fb30ca8, 0x32fd9dc8,
+    0xae319656, 0xba87b250, 0x96c1b8e5, 0x60b50bff, 0x970080a0, 0x5c3ea1dc, 0x2328f3e0, 0xc2f93d10,
+    0x98b8ef0d, 0xa67ee2e4, 0x66ec838e, 0xe987b9ee, 0xc18c9d68, 0xd7911b4e, 0x4d8e4e2b, 0xec268494,
+    0x89564bb3, 0x3a1e7284, 0x347e737d, 0x85a2973f, 0x8b7bcb0e, 0x879cd70c, 0x9c08bffb, 0xa3dc7b47,
+    0xdc941c1c, 0xc986d83e, 0xf0f76364, 0xd2162ffd, 0xc8d56753, 0xd32294d6, 0x2645b5f3, 0xdb31c4db,
+    0x7bdd1355, 0x97ff648e, 0x1f139a78, 0x4765712c, 0x41cb4d5b, 0x395b5b7f, 0x30aac62c, 0x71906221,
+    0xc2f441ad, 0x6c17b2f1, 0xc487a22d, 0x296ab0c2, 0x19166bd7, 0x869f1c11, 0x668860a1, 0xf5ee92dc,
+    0x6dec85d9, 0x457847bc, 0xbc910eff, 0xc36b0b1c, 0x84635ccd, 0xf035c5e2, 0x6e1da056, 0xaf096370,
+    0x352c3509, 0x05570a58, 0x8311d38a, 0xf355eccf, 0x532b2bba, 0x87fba0a9, 0x5417964c, 0x26436b3f,
+    0xad626a5f, 0x4eb02086, 0xe7355915, 0x913b93cf, 0x438c655d, 0x61b85919, 0x297d442d, 0x3a8007f4,
+    0x392e8667, 0x432f7be2, 0x13d20db3, 0xf8f066f7, 0xbbe78994, 0xa62a1561, 0x8895b833, 0x4a02c320,
+    0xa644cab3, 0x663bf419, 0xca05d9cf, 0x51bd0a51, 0x577cc790, 0x4655a1af, 0xe11d43c7, 0x45431e46,
+    0xb2050c56, 0xc82ea1f5, 0x59d2917b, 0x60d78061, 0x8bcf516a, 0xb75e2959, 0x612bc026, 0xcd3e195d,
+    0xe642fddd, 0x04e3f129, 0x438ed090, 0xc66c32fb, 0x1faaa559, 0xe3f8cec3, 0x49a8e823, 0xca9daa24,
+    0xdbba981e, 0xefb43465, 0x6f4b25da, 0x0d269395, 0x985c39d6, 0x4fdb1261, 0x7cabed4f, 0xc87899d1,
+    0xc2db6f5c, 0x7c6d695b, 0xeabf2709, 0x75186486, 0xd2832af3, 0x3862097f, 0x52a66e2c, 0x24098101,
+    0x8b6f616b, 0x0ee82012, 0x14a0f867, 0x0b8eac85, 0x4f92b0f1, 0x96a729d2, 0x04c92781, 0xef5388b2,
+    0x01e33c0f, 0xea798d8e, 0x95634288, 0xc06b3c97, 0x50851dfd, 0x47bfa8d1, 0x765653bd, 0x6f026a32,
+    0x39b05d84, 0x54f2628c, 0x63581009, 0xb1d2de88, 0x4f135ec8, 0x31cf75b1, 0x4e0f1064, 0xb75f8014,
+    0x0e82d332, 0xa9fa6a6d, 0xf6c370e3, 0xb0d3eed9, 0x11a9fc25, 0x8b40bc15, 0xda8d86dc, 0x32ba4a1b,
+    0x95cf04b6, 0x5b9cb4bc, 0x6fd95fc3, 0x11f3ff60, 0x0d19b0c9, 0xf047d33f, 0x7114d817, 0x175a6242,
+    0x240f80ec, 0x188175ea, 0x8cb0b835, 0x6f24964e, 0x8aed8233, 0x77f3a16c, 0xd7c3f7b2, 0x95c745f1,
+    0xa89889c7, 0x2bd30be3, 0x38960da5, 0x7238bcfb, 0x29c3ad2e, 0xdd313753, 0xb213df0f, 0xfe752381,
+    0x76f7a89d, 0x4bce6c94, 0x82ec21c3, 0xb49a41b9, 0x151a5481, 0xc756520c, 0x87d6192e, 0x352bd6d2,
+    0x12cc0633, 0x51eee77d, 0x1265e337, 0xbdccfd17, 0x0973cb3c, 0x3a3bd1e9, 0xe9bfd04b, 0xa8885695,
+    0x7ddd23e1, 0xb29cec05, 0xd1864c6e, 0xdcd0cc1a, 0xd7172846, 0x33ff4d03, 0xd2a113c1, 0xe2f5453f,
+    0x6022844c, 0x5b82cffa, 0x4abe3dbf, 0x8a39920c, 0x298dccaa, 0xce19faf8, 0xc3e7c315, 0x8fc81949,
+    0xa419832f, 0x61c49d7d, 0xc5171aa7, 0x2b760448, 0x60815fc9, 0xc507c926, 0xadd92536, 0x695d4673,
+    0x0f458423, 0x68be44bc, 0x45838f79, 0x4d3a53de, 0xb42eb003, 0xcf6121f1, 0xfc66f409, 0xa41a0769,
+    0x701b3392, 0xb6b967c2, 0xd7a634dc, 0xf5c2846e, 0x78860f40, 0x40c6681d, 0xd3887db8, 0x0b5b4f86,
+    0x4007ad8a, 0x207ab392, 0x736ebb8f, 0xd1eb8d9e, 0x132c5d97, 0x0c8ccedd, 0xef0fcd5e, 0xe7bff425,
+    0xfdedd3ad, 0xfe7fbbfb, 0x925706cd, 0x93d4bfa1, 0xdad36a3a, 0xad844529, 0x4a02d37b, 0x15fa0467,
+    0x41fcc00b, 0x3740fb94, 0xf38aad74, 0x1c433763, 0xac6be098, 0xa98f7fba, 0x83b968a9, 0x8a812160,
+    0x3af9d265, 0xa78c0b6d, 0xbba4d422, 0x403aff33, 0xdfbccb85, 0xceeb4666, 0xb9299f9b, 0x267678e5,
+    0xc40e496c, 0xb017b937, 0x90db26ca, 0x500248a3, 0x4e8a1179, 0xc3fd85a7, 0x13408904, 0x1794975d,
+    0xf496e9bb, 0xb0c8fc92, 0xc2553c93, 0xca4c7535, 0x67f5f871, 0x86b81389, 0x745f22a9, 0xb0b3a472,
+    0xbe5b33e2, 0x1cd20e2c, 0x6fbf41ed, 0x615757be, 0xf40f542a, 0x1751dd01, 0x100e27bc, 0x6bd964e8,
+    0x3f44a00c, 0x84290288, 0x488b6508, 0xc9e63f10, 0x85ff72fc, 0x1b4606fa, 0xa8ef8483, 0x2b27b733,
+    0xce24178b, 0xbd0e45d4, 0x10df35d3, 0xebe86ac7, 0x457f677d, 0x9819dd89, 0x00d1673c, 0xa03bf287,
+    0xbb63b2ed, 0x62edceda, 0xdc6a1ec0, 0x5a231e8d, 0x369bba8b, 0x0138d81a, 0xdca196ed, 0xb8739f7b,
+    0x6cba7731, 0xf3e86a9c, 0xb409d287, 0xbc00399c, 0xfb9e840e, 0x4d2af0c0, 0xbb82ca6b, 0x09805a31,
+    0x2aa7734f, 0xba0109cb, 0xa4f1b190, 0x957934cf, 0xfde10a30, 0x3459b708, 0xe4e8d2da, 0xaa321997,
+    0x00000000,
+    0x25024b31, 0x6d40900b, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000001361129467683753853853498429727072845824 */
+  { 0x00000000,
+    0xe128b524, 0x2bd9d6ba, 0xede8d82f, 0x51c31448, 0x775d6f2c, 0x29676bd1, 0x07ece24f, 0xd18445ea,
+    0xea4cff9f, 0x32304722, 0x17fb0f07, 0x1842280d, 0xdd1e1b1e, 0xd8b4c5ac, 0x9f0661e6, 0x87d181d9,
+    0xf3599a8f, 0x0b22db20, 0x83b4e6a3, 0x37c1bbef, 0x30a16408, 0x8b5f1a9c, 0x8b6bfa3e, 0x8de5c9b8,
+    0x6a5c75f3, 0x08b8dedf, 0x3efdbc32, 0xd30bcf9d, 0x7a90270c, 0xb995a3bf, 0xba69b707, 0x8adccccf,
+    0x475f26e0, 0xb934625d, 0xa71a08df, 0x36f5a384, 0x5cc958f8, 0x3359e69c, 0xfa51becc, 0x7a0a3ace,
+    0xd650f360, 0x8a40616b, 0xac1c9f3d, 0xe5b12171, 0x534e21f2, 0x3248228a, 0x490ff288, 0xd67b8a08,
+    0xdb793713, 0xa38f3a35, 0xe487e773, 0xbfaba10d, 0x4f1010e7, 0xf9e9bd90, 0x486ab766, 0xd1012f95,
+    0x791cb0cc, 0xcd16ca35, 0x418be2f7, 0x278cd969, 0x661631f3, 0x58306ef6, 0x8790ac1f, 0x24f927fb,
+    0xba75f6f5, 0x5f9146c9, 0x17005d6c, 0x4f14cc8b, 0xa45a208f, 0xff398b08, 0x35db0319, 0x686f6ffe,
+    0xdb470038, 0xc855867e, 0xda2f6d4b, 0x2e949672, 0x93c2fa85, 0x97f7f4bd, 0x31f0c447, 0x02351bb3,
+    0x5952f778, 0x8b4e640c, 0x4daaed48, 0xa3e07545, 0x94de084c, 0xbab813be, 0x6c9a28a4, 0x21f30c20,
+    0x241f7201, 0x406675f7, 0xb6f8c7fc, 0x3bbd5544, 0x417c9f34, 0xec13cab0, 0xe843f898, 0xc842474f,
+    0x526cc527, 0x20853b04, 0xce127dd2, 0x4a5446ba, 0xdd05d6ac, 0xdd9cb648, 0x03e5fae4, 0x167af6e8,
+    0x98112808, 0x96decf4d, 0x74403c7b, 0xb4a1265a, 0x6dbf3689, 0xf930dc45, 0xac6c096d, 0x46349486,
+    0x63ec48ab, 0x4cda9c7b, 0x28e9c758, 0x859d6ffe, 0x85507622, 0x090b2675, 0x5131fc3f, 0x851e268c,
+    0xe5678bb6, 0x1dd31973, 0x9bff9552, 0x6a657917, 0x77a9ba33, 0xb3c5dd4f, 0x1faff836, 0x7b0edbfc,
+    0xaa8a4627, 0xadc9a46a, 0x8a6d2329, 0xbfbdf39c, 0x7b53c61d, 0x9c007b28, 0x837d028a, 0x4d679c8b,
+    0x15eba28a, 0xfe6eed83, 0x58587b1a, 0x7c447b28, 0x02c8473d, 0xfd79e621, 0x00518310, 0x2d75a3e6,
+    0x6a40b86f, 0x89bde439, 0x8f514fd4, 0x42aa17b3, 0xc8a1b44c, 0x395eeae6, 0x45d5eeb8, 0x8bb22d93,
+    0x88c1df1d, 0x83521ee5, 0xefb3fd95, 0xb48c5d88, 0x725d6e1f, 0xd17eb05f, 0x31a872c9, 0xcce6136a,
+    0x1bd0c690, 0x81ab1e85, 0x2b4e8f92, 0xef0e9c06, 0x90c88b9d, 0xd87c459b, 0xae5dd184, 0xe34c434e,
+    0xf5544fdb, 0xd8793f9a, 0x9ae02b64, 0x7cf58494, 0x6bf3baac, 0x3872f5e7, 0x7515b5cd, 0x990e7077,
+    0x305d833b, 0x140fe04b, 0x05d529ec, 0x1af63ccf, 0x4ecfe08d, 0x2cea9420, 0xe766d7d5, 0x4f8616d9,
+    0xeedf6f85, 0x55a7d368, 0x2b0011fb, 0xd70d2c2d, 0xb3f6b13c, 0xb91a5509, 0xabc4f232, 0xea6759a7,
+    0x3653d251, 0x7485d435, 0x7989a815, 0x3c38927b, 0xfbf2ccf5, 0xd5bdbc3b, 0xf7749624, 0xf0d9caaa,
+    0x5904418c, 0xd3398b59, 0xa1844501, 0xca7a8f42, 0x9799b5c5, 0xd6816616, 0xb038867c, 0x50f83f86,
+    0x422a6131, 0x89ed1618, 0x7ecd6f6c, 0x1c94eb76, 0x0d2b498d, 0xc5fc8390, 0x77ea289b, 0x8e256529,
+    0x842ffa4e, 0x7a5f8fb7, 0xe91f246b, 0x3ddaf1e9, 0xf9d2282f, 0x1983d2ea, 0x9645b4c7, 0x3d85f6c1,
+    0x4a28602a, 0x5264b045, 0x9319f2ab, 0x539fdf98, 0x9398257e, 0xc2cf334a, 0x76bdcae9, 0xa9f38197,
+    0x619390dc, 0x2a1218f0, 0xc64e3792, 0xdc84b0e8, 0x7d1d7a5e, 0xe11d615c, 0x297d3488, 0xd714358c,
+    0xdc81697c, 0x93812358, 0x8ae0c4ec, 0xe528969a, 0x299011cf, 0x40a1ebe3, 0xd4193590, 0xe9aab0a3,
+    0xef81e805, 0x07a722e4, 0xc22fecc1, 0xb462fc72, 0x6070f6f3, 0x355b5840, 0x96b9359a, 0x596743e8,
+    0xfddd69d4, 0xc52f66d0, 0xa47cfc3b, 0xb48148b3, 0xee0f37d9, 0xcb9bb5c1, 0x43247022, 0x99a13ff5,
+    0x5138fc0f, 0x18f48fef, 0x5d5bbab1, 0x50e04428, 0x020ec931, 0x28c511b0, 0xc8e47ef7, 0x7d7f093c,
+    0xce8002a2, 0x88e243af, 0xeb49367d, 0x99cf5829, 0x02f8adc6, 0xcc89b889, 0xc591f89f, 0x3fc1b493,
+    0x7a868154, 0x2d42ebcb, 0x5a4d0a2d, 0x0af61778, 0xf5f544e4, 0x67301572, 0x217a670f, 0xe7d9500f,
+    0x975e7bc1, 0xc4efcdf9, 0xc6061bd6, 0x90ac8f13, 0x0c1d000b, 0x85700276, 0x431694bb, 0x3de5a311,
+    0x78bd2ad6, 0xe615dd9e, 0xfe4eb12c, 0xbe855856, 0x2b7bab7c, 0x65a573a3, 0xacc94974, 0xcf591e37,
+    0x58b94c56, 0xb07ee56e, 0xc09244f0, 0xb315c91a, 0xa24e40e3, 0xa06b1167, 0x9dc44b1c, 0x61531cbe,
+    0x967c1ebf, 0x08cf4810, 0x98365539, 0x68cbff20, 0x0f5cb4bc, 0x422630df, 0x78fe8836, 0xc0ff27d6,
+    0x644dd285, 0x336d20ed, 0x9f21af5b, 0xfedf76fd, 0xe6417bf9, 0x6427d675, 0xf1d7ffd2, 0x0190c9d2,
+    0x32503f4a, 0xa675d2cf, 0x5aeb4780, 0xe8169be0, 0x979c53b7, 0x98ad9812, 0xe1343610, 0x7537d420,
+    0x7cfed785, 0xd5003d67, 0x4921149c, 0x0aefcb0a, 0x1f9e6652, 0xe0a8cf51, 0x4decd8d1, 0x6773d637,
+    0x43b5f511, 0xbff49985, 0x3a14e3cd, 0x9065fa31, 0x34dd166f, 0x870574f8, 0xce511dc0, 0xb81d2beb,
+    0x204b9eb6, 0x6965b1f4, 0xebc9ed90, 0x5d528330, 0x8a0566f0, 0x2e1b2f35, 0xc8c2badc, 0xb3dcddc4,
+    0xf140bf9a, 0xc6635ebd, 0xc80628c8, 0x4d785637, 0xb20a8a1e, 0x9e6d46e4, 0x09923ba4, 0xc5359bb7,
+    0xebc6924f, 0x282ac1b9, 0x2d327869, 0x2e30c928, 0x577a931a, 0x9cbf9dcd, 0x5c5919e4, 0x858d5490,
+    0x95eb2767, 0xb020488a, 0xca54f337, 0x600b1c3a, 0x70c23c1d, 0xdf189876, 0x323affc7, 0xdbee1d98,
+    0x7514657b, 0x31ec98e1, 0x4799b7d1, 0x85ad926c, 0xaa66434a, 0x526319a2, 0xa7e58404, 0xa7f941f1,
+    0x93b3cb8c, 0x85aeee34, 0xbc431fdf, 0xc4f742bb, 0x8251e441, 0x0411432c, 0x948c27af, 0x105cf0d9,
+    0x129da445, 0x71063d17, 0x37ee4643, 0x2b4fbfc8, 0x3dbf5619, 0xb11e86a3, 0x60399f85, 0xf4e7eaee,
+    0x3bec6938, 0xf7f74beb, 0x77ca7aad, 0x5bd2eded, 0x42429874, 0xad65e736, 0x086a0900, 0x00129a90,
+    0x412f44ea, 0xde4b11df, 0xb78e7db0, 0xd713d4d0, 0xfe1694cd, 0xeeb1c0a9, 0x8534326c, 0x03523b2e,
+    0xe3efa898, 0x998b4095, 0x6d1339fc, 0x54c0615d, 0x7afd22b4, 0x21754a78, 0x0da82dc2, 0xb681bfc2,
+    0x4e438aca, 0x9e90b359, 0xad828298, 0x495ab421, 0x64eab3a0, 0x0c90b93f, 0x4966b2e8, 0x29ae50bf,
+    0x7323edd3, 0x0aef7f44, 0x8e3c4e84, 0x3cd21ffc, 0x7b372d51, 0xd4fd873e, 0x29176f6a, 0xd48304fd,
+    0x477ddd28, 0x4313f9d1, 0x3632140b, 0x276b1d1a, 0x74be03e7, 0xb87842df, 0xe555e09a, 0xaf2e803f,
+    0xa9b193dc, 0xef17881f, 0x96f356e5, 0xf0ea9b0a, 0x8a452f8d, 0xe713ca70, 0x8c15c28a, 0x7716ac9a,
+    0x931026f9, 0x10a97e1a, 0x1bac8eda, 0x0a0729cc, 0x91cbf813, 0x3a2c6f06, 0xffaaed59, 0x2c35b6c6,
+    0xd85b8338, 0x89b80a77, 0xe4d55ac8, 0xb5ad237a, 0xd590fe43, 0xf0e39d13, 0x999bcf2c, 0x7554fad1,
+    0x5117035e, 0x3220da42, 0x1fee1433, 0xeb00845f, 0x33801a0d, 0xb013d119, 0x6546f731, 0xe93fea52,
+    0x9957bc9b, 0xc9c40dcc, 0x528850be, 0xba51f908, 0x341786b6, 0xba3b3810, 0x75780009, 0x56a2d94b,
+    0x8fc34457, 0x923550fa, 0x0cc9a461, 0x1c4114ed, 0xb72c647c, 0xf7c5c1fa, 0x393eefa0, 0x4480b81d,
+    0x92f9f402, 0x0a965ea2, 0xb79dd0c4, 0x814c857e, 0x5307ab3e, 0x668de64e, 0x30e163c7, 0x51b2a13e,
+    0xa4be32b3, 0x5a36d8b1, 0x7f05b92f, 0x7b3e259b, 0xa5773e89, 0x32e5f020, 0x547816a1, 0x9256f280,
+    0xdb4fd7de, 0x2170395d, 0xa254317a, 0xcc9b7b64, 0xc8a2f292, 0x06ea117c, 0x1098277c, 0x6eff2414,
+    0x9c607081, 0xd960c029, 0x7411de41, 0x84b43abe, 0x776735ba, 0x11685789, 0x6c25618a, 0xceb1a0ef,
+    0xc769e31b, 0x90dbb37b, 0x50857979, 0x2814d3d8, 0x3fe64d4a, 0x19e5e9de, 0xeaf2f7f7, 0xce75cff6,
+    0xa66db035, 0x926cee18, 0x06f33ed8, 0x61c31966, 0x039bff98, 0xe13da541, 0xbb41221a, 0x3208ef68,
+    0x85ae4f2d, 0x4f05f986, 0x599ae979, 0x5ab7c5d2, 0xe8349162, 0xfc1243da, 0xc9388e54, 0x05af2b96,
+    0x9ba82d30, 0x7a37d98c, 0xe7542e3d, 0x8ee13a16, 0x63ac5196, 0x7fd871e2, 0x4747056a, 0x279c7cad,
+    0xc140d289, 0x0b62eb1b, 0x8993f6d8, 0x14b5e315, 0xe7e97776, 0x8dd3c063, 0xf39d2df3, 0xf2c4b987,
+    0x3d962f2d, 0x51eadf3b, 0xb833c9f1, 0x0aa88d65, 0xbe6f2633, 0xd7bb0c58, 0x0a58b56f, 0x32ed8d62,
+    0x56aeb132, 0x67d87dd3, 0x6c1c121b, 0x8be2bf3e, 0xba01bd59, 0x0dcdec12, 0x7ee7c8dc, 0x56e36a9a,
+    0x147355b4, 0x6b5e13ac, 0x9602ff59, 0x2a244cf5, 0x22845d79, 0x43d1a0fe, 0xaeb6e55a, 0x1cf67294,
+    0x81c0d4cc, 0x593e0e98, 0x0f290492, 0xd9c7b8fd, 0xf3039209, 0x692268c6, 0xa830e38b, 0x9ebf71de,
+    0xfaf1bd49, 0x02e02ae4, 0x6f24882d, 0x7889e4d1, 0x352d3a5a, 0xd4a60041, 0x5d1cf306, 0xbfd7ffb1,
+    0x7feb951f, 0xce76280b, 0x4bf17aea, 0xda57063c, 0x522d71e7, 0xd7d7fc83, 0x8a0f4736, 0xd7e8a9d9,
+    0x9ef6838e, 0x20077ce1, 0xee8f6e06, 0x0281f54d, 0xbe7f111c, 0x815e8ea7, 0x76361bec, 0x17977895,
+    0x7ef119fc, 0x028c4297, 0xc72c1d2f, 0x33042d60, 0xb77954c1, 0xb7de1fdf, 0x29855eb2, 0xde8d844d,
+    0x88f0020d, 0x38674d0e, 0x85c978b7, 0x35b0c23b, 0xc21bf0e5, 0x19e06a5c, 0x6834c6f4, 0x9690df9a,
+    0x85b129fd, 0x012ac8b1, 0x373017f7, 0x21d036be, 0x7a2db800, 0x455bc412, 0x199b2671, 0xa51f46ef,
+    0x6ef47a2c, 0x28f38bbe, 0xfe621c07, 0xbc13c8bb, 0xd0b1f6a7, 0x2a0c8f27, 0xc1d847fc, 0x653bc360,
+    0x8c9b2972, 0xb8578c56, 0x78f34503, 0x4f7f06cf, 0xb577450f, 0x2463451a, 0x9ad2bef8, 0x399b249b,
+    0xc9795566, 0x970e105d, 0x6874ed49, 0x928f5029, 0x093e0b26, 0x0ad8ae2f, 0x4cf01f19, 0xed4404ae,
+    0x847d22f7, 0x4bd79363, 0xa98cd57f, 0x33d66d7a, 0xce9d041a, 0x8d3ef645, 0xd005a148, 0x5cb226f9,
+    0xa2cb03ff, 0x004969a9, 0x16c20bf4, 0xe3bcab41, 0x9b9cc8d3, 0xf4c1fc1c, 0x54d5ff21, 0x972f4f0d,
+    0xabaa3f78, 0x6930606e, 0xf5eb2ec9, 0x45a4f286, 0xa7742da9, 0xfdd51cb9, 0xeb55b99c, 0x6da5d27c,
+    0x3f726bd2, 0x2188d714, 0x68e4fb9a, 0xdb271503, 0xe04a9437, 0xf3966306, 0x836f74d0, 0x0fbdb9db,
+    0x935ca8cc, 0x06a89ff4, 0x95674257, 0xe3a27780, 0x2b9f8b25, 0x5b50fa07, 0xa7c3cd96, 0xcd56e082,
+    0x3c3b542f, 0xdac612f8, 0x619b24d5, 0x7b9904c7, 0x58e0a481, 0x6d6a4c1f, 0xf96df77c, 0x7e2ee475,
+    0x10f22800, 0x3ed8e606, 0xfb74e586, 0x001a3590, 0x018a6d64, 0x722279dd, 0x76245f78, 0x59706d9f,
+    0xe1b7697f, 0xd5261380, 0x547691a0, 0xf5f63d22, 0x4709d6ac, 0xee53aec1, 0x84bc401c, 0xccfeab38,
+    0x9a4ce2d6, 0xc7a18f4e, 0xa38676e1, 0xe01f2b59, 0xd4105618, 0x42ecff13, 0x94d697fe, 0x4b8fd97f,
+    0xadd4d0ef, 0x8826abe4, 0xfa7c0a19, 0xde631ce0, 0x229e72ec, 0x841bed68, 0xc8b59a94, 0xfcc528d8,
+    0x1e0cf60b, 0x36b92b40, 0x9d6ce1a1, 0x2fb5ed55, 0x075e1b47, 0x1b019a1c, 0xb4694592, 0x043d956e,
+    0x0578d2b6, 0x52b6c05a, 0xbc0e6a4f, 0xe9b2ab79, 0xd915ea12, 0x79ff2e24, 0xd4e36f3f, 0x12733bb0,
+    0x16897ec6, 0x93b5783d, 0xa9e8fd70, 0xb77ef7bb, 0xd6c8c1d1, 0xa4f11efa, 0xbb386c60, 0xc1540a30,
+    0x991f727a, 0xf72ac6c3, 0x9861e344, 0x39d87be7, 0x25a6a13e, 0x52d0cb8b, 0xf7d3585d, 0xd1397cc1,
+    0x5df88b0c, 0x275ec7ee, 0x92848363, 0x55622a72, 0xbef30505, 0xb5b0d56d, 0x1a760976, 0x2e114057,
+    0xc3f47f37, 0xaa7fd44e, 0xba088f6f, 0x6478f01d, 0xac0028ac, 0x47b2eaac, 0x9ea10528, 0x465613fc,
+    0xf3deff83, 0xf29bc744, 0x74e5590b, 0x119d0d75, 0x53b606a2, 0x31b20888, 0x134521d9, 0x14793d65,
+    0xd8d05d7a, 0x964536d6, 0xc9574576, 0x7b517f5e, 0x8d90f450, 0x15d965b4, 0x2ff03cdf, 0x6c34e3c1,
+    0x8def8f09, 0x3580d066, 0xedb5e9fe, 0xf1d2a9bc, 0x804f02d7, 0xc245e4a4, 0x68ebefdf, 0x06371d3b,
+    0xa3f4a9f1, 0x48626b4c, 0x59680df3, 0x52b74f81, 0xe6ef5772, 0xb7b4438d, 0xd06a5c18, 0xc7097241,
+    0x13c352bf, 0x9dee55fe, 0x9e104f96, 0xacf5ef12, 0x91786ae7, 0x1e235988, 0xfb225aee, 0x486ebfec,
+    0x8560e7a4, 0x1eaa0e3b, 0xfe2fb8db, 0xc55fd3d2, 0x994ead4b, 0x64d520e6, 0xaac1b330, 0xf26f3e77,
+    0x4c06255d, 0xdd009d5b, 0xaf211505, 0x8807bc65, 0x8ad93435, 0x2e241248, 0xe8f3cecc, 0x2375c5e2,
+    0x11bf7232, 0x980a37d9, 0x0ae5ef96, 0xf473655c, 0x6344577e, 0x8b14b602, 0x18204ad7, 0xc40ef0c8,
+    0x06354305, 0x87c844a3, 0xea540b4e, 0x6f2f5248, 0xbce5fe45, 0x10c54ac1, 0xd71f85af, 0x47b3221d,
+    0x594c744c, 0xdd04a007, 0xf176529e, 0x301f98b5, 0x3e0d2466, 0x263b3ea1, 0xf8c86dee, 0x98ac8f02,
+    0xe9075136, 0x21398787, 0x584927e5, 0x04c7e883, 0x24f89cb0, 0xca6986ab, 0xa7fb3dc5, 0x2e48187a,
+    0xed3d3715, 0xf41bfc8f, 0xe776bea1, 0xb66aeae8, 0x5751a391, 0x3dbd3a45, 0xf3b474b6, 0x3f4b0477,
+    0x44a63102, 0x8fee51f2, 0xe568c6d6, 0x693c2802, 0x33a00f5a, 0x6b284045, 0x618a3ed1, 0x02da2a9f,
+    0xf4b33aab, 0x8e17b99c, 0xc451d543, 0x83371a6f, 0xdda6e1a1, 0xed1e4928, 0x94167e70, 0x8efb007c,
+    0xed396008, 0x150a78e8, 0xafe9a3e0, 0x436189f3, 0xec48d18f, 0xff474746, 0x05592fca, 0x44eccc1c,
+    0x5aae069e, 0xb1902cc2, 0x37512c61, 0xee399602, 0x856ee427, 0x9a3278ec, 0x77b73667, 0xbf4de4e6,
+    0x28c180db, 0x0ba78e0d, 0x9cb7c822, 0xcfd2fe3f, 0x8d3742a9, 0xac467428, 0x8478dc39, 0x83785f81,
+    0x7cfe9850, 0x255e8548, 0xa707af7d, 0x6281efde, 0xb2330be3, 0x89744e10, 0xf715b72c, 0x4d7044d0,
+    0x0f0f71c7, 0xf043a8ba, 0xf9c5e76a, 0x0c54e6c8, 0xca99f67c, 0x7dc4c662, 0x11776f00, 0xcb82e889,
+    0xe66a2447, 0x4dd69828, 0xac6e0c17, 0x6de60658, 0x0fa33d97, 0x5a534edb, 0x52bd3a24, 0x19e46f8d,
+    0xe907b115, 0x8ac02516, 0xcbb26f1b, 0x2a07e382, 0x16000705, 0xb8732f94, 0xd9fe36df, 0xec01d268,
+    0xe7df5606, 0x69810945, 0x26920425, 0x24b70bb6, 0xf79e8367, 0xf7d50db4, 0xdb4edc08, 0x053739e0,
+    0x1ce49f74, 0x668db2d5, 0xe5cdce28, 0x53e56362, 0xb5042730, 0x2407c45c, 0x5e1fbfa8, 0x422604e7,
+    0x876756a0, 0x7347f22a, 0x011c9b15, 0x18b87402, 0x2cc8453a, 0x7cf4abb5, 0x6019c3f5, 0xfefced9a,
+    0x57827200, 0x464a5af9, 0xbac16279, 0x1c28aa09, 0xee85f641, 0xc9326b17, 0xd38ff023, 0x9398fbf8,
+    0x00000000,
+    0x92812598, 0xb6a04805, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000680564733841876926926749214863536422912 */
+  { 0x00000000,
+    0xde1065b4, 0xf5420b87, 0x14bdd2ff, 0xfd60905a, 0x9395baa0, 0xe674bf1f, 0xdbdc7bf1, 0xa4c1d700,
+    0xfad40354, 0xeb457530, 0xe42c4fe8, 0xb9116441, 0x6c6403ed, 0x45f53f4f, 0xb3a9cb57, 0x1fcd7727,
+    0x4300d140, 0x9c6723a3, 0x09cf7dc6, 0xc929a3ad, 0x7f862b75, 0xd399733c, 0x69d42ead, 0x62e5b6a9,
+    0x16770fc4, 0xaa1e0d94, 0xaacfabfb, 0x56f09fbd, 0x7ca9a6a6, 0xe4a8d204, 0x2409feac, 0xebc21e3e,
+    0x67fa062e, 0x32ba5933, 0x640b3675, 0x57ffd886, 0x2a4d7915, 0xb199f511, 0x0056d1b4, 0xa4952a23,
+    0xf3a3f928, 0x2c900203, 0xf941f12e, 0xa382889d, 0x25392933, 0x045f8c8e, 0x607ea1f8, 0x91d7e20d,
+    0xe03ec33d, 0xb205f0af, 0x89befa51, 0xd19b7e6d, 0xcdb70abb, 0x189a0375, 0x4455ca88, 0xa30f9ea6,
+    0xcba72958, 0x8c2091d0, 0x9ec4bb9a, 0xdcd25930, 0xde0490df, 0xccc23392, 0x7306e7ae, 0x9c0ea399,
+    0xa5c78772, 0x926614d5, 0x37d90fba, 0x72b722c0, 0x66da4692, 0x6a3358aa, 0x96a1f409, 0xc8cda561,
+    0x75a94536, 0x8f64241c, 0xa06f2453, 0x925fdbc7, 0x738238fa, 0x7fb3cd9c, 0x2b4d0fa9, 0x5764bf47,
+    0x522febdd, 0x6d47dde2, 0xaa364d3c, 0x741bbb81, 0x60bd298b, 0x778773ae, 0xea18a22e, 0x2dbdbfe0,
+    0xecea06d9, 0x72142938, 0x8be3b1c1, 0x66a7f4f2, 0x0c84604c, 0xa243bb93, 0x6dea4247, 0x5f3eeca7,
+    0xb647e67c, 0x7c3ad387, 0x4195b56e, 0x872ec908, 0x82f54677, 0xdb4e338b, 0x7eeb1f15, 0xbe155a38,
+    0x675494d3, 0xac604ec2, 0x3889c761, 0x6a72588f, 0x39c07b37, 0x32933d38, 0x8189a425, 0xabbc7e4c,
+    0x94a27655, 0x032d90c6, 0xca6b95e5, 0xb141b598, 0xe3a79448, 0x54bb1595, 0x708089ce, 0xefed1989,
+    0x9be0e74e, 0x2f141bed, 0x80b474ec, 0x37151106, 0x8464322d, 0xa0af3db9, 0xebddccc6, 0x143c5cf2,
+    0x6cbc555a, 0x29ad5629, 0xd096f73d, 0x92fcf89f, 0x33959dda, 0xa55a3e79, 0xd0e1b8f3, 0xf63bd228,
+    0xef614e3f, 0x15913a0e, 0x001201aa, 0x24c67498, 0x373fef87, 0xe1f89485, 0x35c2ef5c, 0x96e74835,
+    0x009b98b6, 0xf36668c2, 0xf8994327, 0xd17842fb, 0x2c32e9ba, 0xf6efcf56, 0xbba40dc4, 0x23399b3d,
+    0x7fd81470, 0xa2bd382c, 0x15801f00, 0xb6e84d5a, 0xcc925b91, 0xb237e74d, 0xd1e44f4d, 0xbc9d62d4,
+    0xe4ded94c, 0x8232372b, 0xd5c8ad18, 0x13552d05, 0xaf937e52, 0xc8b162c5, 0xa77e871b, 0xe6bc1f42,
+    0x4d235763, 0xf3e82851, 0xbe237c7d, 0x7b05efbb, 0xb7b40523, 0xb1a9525c, 0x0345a41f, 0x91a508bd,
+    0x256b32ef, 0x849a78ed, 0xf09a0b9e, 0x7b88497f, 0x7c4c2a77, 0x1494cb79, 0x2eb82ca4, 0xc79a67ee,
+    0x3d2d9eea, 0x0293bbfa, 0x8d308a30, 0x5547a3e5, 0x186dda93, 0xe23990c7, 0xa28c134a, 0x23342b7c,
+    0x4369e8db, 0x53890eaa, 0x1d615124, 0x5eeef4c5, 0x9b80ab8b, 0x60c147e9, 0x7749e0f1, 0x2bd951fe,
+    0x9400ae18, 0x058e8104, 0xd9c4e24a, 0xd6f3a842, 0xc37b8748, 0x28e6795c, 0x68571815, 0xa3b0ee74,
+    0x42e572e0, 0x9e6eb2e5, 0x6325f86f, 0x1f993596, 0xb41e1072, 0xd7cd465d, 0x209b127f, 0x22d23148,
+    0xdc716dfb, 0x2197dfa8, 0x9b769f20, 0x0615c61d, 0x2eb10d3d, 0x50d34bc2, 0xc773a0a2, 0x85c2060a,
+    0x20868a7e, 0x6a6cc424, 0x7e32eace, 0xaf794e22, 0x3e63733d, 0x732b3835, 0xcae8e29b, 0xf61e3775,
+    0x705e6bf0, 0x486c13a3, 0x83f28b61, 0x45a361f2, 0xc84e53f1, 0xdca0d74a, 0xb90f62bd, 0x34267b1e,
+    0x32f391e5, 0x485758e4, 0x83003bbd, 0x5eb2de62, 0xf8fa4c68, 0x22ccb3c3, 0xe564944a, 0x9d927d83,
+    0x08b361b7, 0x263af0d6, 0xa0e8a499, 0x5fc7a61c, 0x1ac39844, 0x90e59559, 0x4059733d, 0x907f1cc3,
+    0x0c1b8f28, 0x763ba160, 0x7c698fda, 0x6f3371b3, 0x7755aa32, 0xb74c3d6b, 0x89dbb695, 0xef2febd9,
+    0x1d9fbbe4, 0xeb46c371, 0x886bd0ac, 0xcc13a09c, 0x859139a0, 0x96d0d764, 0xbde48ae2, 0x681d3ddd,
+    0x67d8d2ac, 0x36e293cc, 0xb985ee9d, 0xd612b5f7, 0x15e4452f, 0x4c14eccf, 0x02687d8c, 0x98c255cc,
+    0xeb1cc321, 0x7d624143, 0xfce245b2, 0x6279ab30, 0x205b42db, 0x8924163c, 0x49c45a2b, 0xaaf4efa9,
+    0x93516bf9, 0xa734de01, 0x6c29430d, 0x4b25ced0, 0x3083bc01, 0x133f1d0f, 0x4c50cc9e, 0xdb6d469f,
+    0x6dfa304f, 0x323cdb45, 0xa902714e, 0x77791945, 0xd8d2c30e, 0x5ec1fe0e, 0x8a407494, 0x89d01be2,
+    0x8e4ce427, 0xfc2f1579, 0x64c99cc4, 0x940752cc, 0xd0445f79, 0x371b7138, 0xbe2dcc15, 0x769f6fe7,
+    0x84886410, 0x6959e974, 0xdde9eec1, 0x75fadc46, 0x3b3236e1, 0xc93bc707, 0x2394dc60, 0x033c3427,
+    0xc36c946a, 0xf55c482f, 0x9d25681b, 0x2300f5ed, 0x04d45de0, 0x6da7ed6a, 0x96683ff9, 0xcdb895db,
+    0xf004c091, 0xfdf9f64b, 0x1ee36fb1, 0x0de5a5bb, 0x9006bd71, 0x8e9779f7, 0x5d512f5e, 0x3f271a32,
+    0xdcdecec3, 0x59862b92, 0xba07ac3a, 0xedbfc82e, 0xb55ec83c, 0xde7a0b6e, 0x0b38a4ce, 0xf4b4d634,
+    0x4b71f722, 0xe06c8f20, 0x4f145d89, 0x880264df, 0x6950096b, 0x0ba2f978, 0x6e7b385b, 0x84952e27,
+    0xedc1acd7, 0x6f6d4f7c, 0xd3b4128c, 0xe353203e, 0x04bd858b, 0xb39fc4fe, 0xc13f948e, 0x7b3d92db,
+    0x0bacf318, 0x74901aa9, 0xe9acedf9, 0x58a0dcdc, 0x1e9d7aad, 0x1d916db0, 0x7e296b4a, 0x8cd7db6e,
+    0xe3d1362b, 0xd820e862, 0xa7c5775f, 0x2c812ead, 0x75c5eada, 0xe0475922, 0xe50074f1, 0x4e3bfdf9,
+    0x85721244, 0x338b274c, 0x973cdeb1, 0x0005a7a0, 0xcb8ac2ae, 0x9f879e02, 0x051648b6, 0x29c12a08,
+    0xcc35cf7e, 0x40131acc, 0x31791669, 0xd4f8a69b, 0xcb2b1c54, 0x33f26b74, 0xc20128c6, 0x33916d52,
+    0x47ac90f6, 0xea014367, 0x28d8eef8, 0xb75156c6, 0x404dbf8d, 0x7e451f28, 0xb54ec3ed, 0x71b10c09,
+    0xb119782d, 0x2285c8b5, 0x36b0e8a6, 0x04a24d4a, 0x7e568deb, 0xff05d483, 0x35d2a30b, 0x5af18869,
+    0x67a59545, 0x14f8e234, 0xd96b4c64, 0x07fe80c8, 0x8a3261f9, 0xdba81093, 0xf2884050, 0xf3c6e24e,
+    0xea0ef5d5, 0x593d72a9, 0x05c488d4, 0xf20c9306, 0x717d79cc, 0x5df1b830, 0x24242df0, 0x428e78eb,
+    0x8507367d, 0x14b4e7c3, 0x0715fceb, 0xa23d57c7, 0xf834f9bc, 0xfa771673, 0x134e00ff, 0x2bd8b26e,
+    0xca133e37, 0x3f588088, 0x5ba9d88a, 0xaca7747f, 0x12479f3a, 0xa63aa66c, 0xe3abd44c, 0x5021cd0f,
+    0x848cbb98, 0x747827b9, 0x09cfdf03, 0xd07d35d8, 0x0f68af73, 0xaeaf140e, 0xe9899dde, 0x2d16793b,
+    0x364fa042, 0x35542d72, 0x52ef6ecf, 0x60b7e701, 0xd65bc7f6, 0x39824d2f, 0xcb3b4d37, 0x8e2d798f,
+    0xa79827da, 0x8db75644, 0xb177cc9c, 0xe1a7ef20, 0xa6583089, 0xb65dbc65, 0x42ad1b49, 0x43561800,
+    0xbe98f639, 0x97512708, 0xd11c46ab, 0x493aed07, 0xfa5e4c43, 0x7bc0acb3, 0xfe047003, 0xa54f0ea0,
+    0x186e593b, 0xf7947845, 0x6aea6d91, 0x99a3eedb, 0x709e39b0, 0x63468409, 0x6f66c9ea, 0x95b398b7,
+    0xfc8f5d0d, 0x961a38a9, 0x2ae85c14, 0x976bff31, 0x02f11ed5, 0x21650414, 0x880eb9f7, 0xec0befae,
+    0xc6d01ae2, 0x3f5918fd, 0x9882db18, 0xca006039, 0xbe4678b7, 0x0d278c08, 0x62ff0506, 0xaf2c95c0,
+    0x3973a395, 0xc2550b61, 0x6478b356, 0x74b8014f, 0x989b48f6, 0x295f00a3, 0xe4c9b4fa, 0x3d0bf009,
+    0x448678f3, 0xb270051b, 0x4b5fb024, 0x5f604203, 0x98aa0ea3, 0xc7d04b18, 0xdff3b673, 0x1f996cad,
+    0xcbd8383c, 0x824c9ad7, 0xb0aafaf5, 0xc97d6d76, 0x58cbf950, 0x86961ce4, 0x6b77201d, 0x6024a6b1,
+    0xc12fbe08, 0xbaf8ad82, 0xd3745b38, 0x545cacc3, 0x382f1ce1, 0x2a79c3e7, 0xfad55fe7, 0x7d6a22cf,
+    0x0113e11e, 0x505209e2, 0x3bc80a91, 0x444fc17c, 0xf140f03c, 0x3baa80fc, 0x784300eb, 0xa90f6812,
+    0x7557e1a4, 0x294ba78c, 0x7f6988b4, 0xb1136ddd, 0x513c8fbe, 0xee965167, 0x3fef0029, 0x83eb9c8e,
+    0x65c36a05, 0x00a5e810, 0xbc31b2ab, 0x3e069acb, 0x3949cbd2, 0xedf63c61, 0x0fd395a2, 0x8fb0b730,
+    0xc3a00e66, 0xa8ecd633, 0x1b9e227c, 0xa29543e6, 0x292b4933, 0x15e6bb33, 0xf9e339b5, 0x1621b0c4,
+    0x74d541e5, 0x187b24f9, 0xdf5867e8, 0x4d8ad6e7, 0x3c1255ae, 0xa9e2356f, 0x579129e3, 0x68e9fe33,
+    0xb00761d0, 0xad7ff414, 0xef9a97a2, 0x48a83413, 0x3053bc37, 0xdca2061a, 0xd48f0009, 0x825fbf4c,
+    0x6e2969be, 0x0aa95441, 0xe8ef3342, 0x48e2e7f5, 0x122ebb09, 0xfaaf9e34, 0x5215892c, 0x390cb371,
+    0x2fc18d62, 0x115be906, 0x4f032cce, 0x26256f5e, 0x6c73962e, 0xc8d597e5, 0x3e14c7ce, 0xeb5c2560,
+    0xa51edf04, 0x18d64ccb, 0xe4a8d3bb, 0x173a2037, 0xcd82c440, 0x7442b79a, 0xc362aca2, 0x83177264,
+    0xbb6ab850, 0x68cb9cea, 0x5a581681, 0xff30d06d, 0xd5e34ec7, 0x1e2871ee, 0xfb6f29dd, 0x7862b302,
+    0x1e3b10d1, 0x6655c425, 0x5e22e9a6, 0x2a3c233e, 0x9e21aca0, 0xcc1559af, 0xa35a0693, 0x73dfbcb4,
+    0x90a0e9db, 0x9e14b65e, 0x9dbe516e, 0x9076a79f, 0xccb50e9c, 0xb0c92fd8, 0xfe0d7d70, 0x49f0157d,
+    0xfc419a32, 0xf2df4410, 0xa78a57c5, 0xa2fe5557, 0xbbad1c8b, 0xc0b2e942, 0x11bf83a2, 0x73a0a97d,
+    0xc7bd6546, 0x3776e1b3, 0xf34e31ac, 0xe1cdba76, 0xb51f523e, 0xdba4713c, 0x5dde8764, 0x534eaf6d,
+    0x8fcdb552, 0x41e4c559, 0x1e4ba7c0, 0xa0e41e30, 0x822095f6, 0x07c04263, 0xe9d8021f, 0x61856256,
+    0x2cefa493, 0x4b8fef6c, 0xadf88c5b, 0x0830154e, 0x44b0be71, 0x7565922d, 0xa94fba09, 0x6d422234,
+    0x0f89e5a5, 0x33db79d0, 0x6fd3dd0f, 0xff2be587, 0x49d7da2f, 0x97d7c6ae, 0x606d595d, 0x0026c0ae,
+    0x32857435, 0xe385d44d, 0xaf0da221, 0x34a87c37, 0xce5baec0, 0x3939fc61, 0x2562d881, 0x758dbac8,
+    0x01d137fa, 0xdc83f2fb, 0x1fa9c1c8, 0x01c4cb13, 0xbd127355, 0xee1c6f9f, 0x904c4dc2, 0x20b5e75a,
+    0x5e61bb28, 0x6669c7d2, 0xc25f648b, 0xf2b36288, 0xca1c7fa0, 0x58039efe, 0xd9b6d2ca, 0xeb75b2b9,
+    0xa390845c, 0x2821869f, 0x8883fb9a, 0xba089c5f, 0x81a45a7e, 0xa39a94eb, 0x22240142, 0x755e6d37,
+    0x946336a7, 0xb17acaf8, 0x441c27dd, 0x45acb150, 0x5e9abc2d, 0x5c7fa811, 0xf91055b8, 0xa778001e,
+    0x571b90e3, 0x39507144, 0x18ef454b, 0x2c268bc2, 0x3fa552da, 0x364098fc, 0x2f469cc4, 0xa43f160d,
+    0xab0b7510, 0x8f04e036, 0x17dbac31, 0x40a69fb5, 0x85ef8fad, 0xafb7e8f6, 0x1d8b00d3, 0xa284dac2,
+    0x81506ea7, 0x2fb3e133, 0x0b553476, 0xc1e32bda, 0x4fb4b7d8, 0x76bc2d00, 0xec7753f2, 0xc417a213,
+    0x0a1bc124, 0x92f499ce, 0x842fb990, 0x48a4ae90, 0x9a1d52e5, 0x6382f749, 0x182e3776, 0x94d0ff21,
+    0x21898096, 0x94a26bc4, 0x97a53109, 0xa52be814, 0xe9fece52, 0x04282b78, 0x62e09051, 0xe94ad7b8,
+    0xfbfc17a5, 0x800d4721, 0x45a3af0a, 0x0837be8f, 0x942ef060, 0x35f9e2a0, 0x6a21e651, 0x3a278a5a,
+    0x3fbb3a06, 0x3ad96f07, 0x7f8a19d1, 0xa0e4f262, 0xc7a926bf, 0x7b48027d, 0x739796e7, 0xdd6f0a7e,
+    0xf7e41b05, 0xf6271c7e, 0xf5e5dfea, 0x08e4acbd, 0x99f09a03, 0xc108c166, 0xa2f62da3, 0xf1832a2e,
+    0xd4bc6b84, 0xf384675a, 0x7c1fd185, 0x01d9e7d6, 0x7e5f26a1, 0x320246db, 0x7d66d75a, 0x6c2f954a,
+    0xc82c5ec7, 0x0351b36e, 0x4a8555aa, 0x2a1eb4e0, 0x3e6dcd36, 0xcfbd3586, 0x00a942d3, 0x6b5c9c1c,
+    0xe68ed69f, 0x06ef4c6a, 0x42875989, 0xa89d5f11, 0x0722b5fb, 0xa5633155, 0xe4ea0dab, 0x83cc0111,
+    0x911f0fe7, 0xe0532f2c, 0xa4de9319, 0xf6620e08, 0x76a4e128, 0x0e116da1, 0x81c5ca75, 0x5f4c52e7,
+    0x1e6f789d, 0xbee06a40, 0x6e296e36, 0xd23f87c8, 0xdefe226d, 0x6614c448, 0x2ca50aa7, 0x4f982e87,
+    0xaee9a1d2, 0xeb11dd6d, 0xad70a09f, 0xf5336503, 0x13c2a5b8, 0xdd4466fc, 0x33865c20, 0x27ae43a8,
+    0x31308097, 0x032254ee, 0xd336f46a, 0x62465080, 0x95d065a8, 0x5f1973bf, 0xddf8da1b, 0x9ac21fc1,
+    0x15bed4e4, 0x371a836f, 0x531b524f, 0xb9fd4d54, 0x9d73e523, 0x45c55ed8, 0x8a8cd0c9, 0x11d11e0a,
+    0x4eb8f611, 0x394a843d, 0xd0d5cac5, 0xf643a902, 0x9d50799f, 0x253f53d0, 0x4d337e24, 0x2ada6378,
+    0xcc2d7760, 0x25383c17, 0x8a32fd2a, 0xfa7be98f, 0x0bd234e1, 0xc7f8da56, 0xcf1f7cc2, 0x3cf1b7a5,
+    0xb3302e4b, 0x50e02bf4, 0x33b39c08, 0x7c091df6, 0x7b6cf534, 0x9dc314e6, 0xfcb255b3, 0xdb0165e0,
+    0x6042d850, 0x57567963, 0x599d9c4a, 0xea9e1427, 0x759cf3b9, 0xf10f361c, 0xf6e10034, 0xcb52b96d,
+    0xa7d09381, 0xebbf16e0, 0x00da685d, 0x183545a5, 0x98950d06, 0x5ff68a48, 0xa00844da, 0x047d4210,
+    0x4980499c, 0xc63548c4, 0x2470564a, 0x8382e7a4, 0x31f65486, 0xc83bad72, 0xf331e2a9, 0x578c04dc,
+    0x6d2b56e5, 0x2d0c52d1, 0x74ecf5b4, 0xe419223e, 0xeddad23c, 0x75ba4ec8, 0x1758adda, 0x04975ef3,
+    0xbd4bc617, 0xfbf5fb4c, 0xbfba59c4, 0xf3f50520, 0x7d5e8611, 0xfa26aaa5, 0xff18b6b5, 0xfe1ffb75,
+    0xcf38a981, 0x7a2afd8d, 0x56b11af0, 0x1202f2d7, 0xb61613ff, 0x8f1ae5a2, 0xc08376c0, 0x33315db1,
+    0xbc4a0b98, 0x0d352888, 0xe619232d, 0xa3b1fe6a, 0x3f79fda4, 0xdf5afe6e, 0x7a76caaa, 0x8f2179a8,
+    0x6759a0c6, 0xf45b0f43, 0x447356f5, 0x0eca8468, 0xa9170023, 0xe6b3b4ff, 0x84687365, 0xc51e58f4,
+    0x5c8a7916, 0x0901a1f8, 0x7dda2881, 0xd050c949, 0xe168729f, 0xd3a12ec0, 0xa9b21f05, 0x1fca5931,
+    0x4278dc03, 0x3d719623, 0x0921c1f5, 0xdf1f319a, 0x8df48878, 0xcbf506f3, 0x663193ac, 0x59905ff3,
+    0x6f84952e, 0x2dc80f69, 0xcf325adb, 0x021a2bbc, 0xc89cc2ab, 0xbbf978d5, 0x0bd8ed73, 0x06ee204f,
+    0x07fb4651, 0x2761c09c, 0xb63f7cbc, 0xdb912b46, 0x7c276c46, 0xe5331ff7, 0x15691a42, 0x5bc3b0bc,
+    0x12198954, 0xd9206ea6, 0xbeb3c13a, 0x241d8919, 0x2ed6c563, 0x6fee4c78, 0x2fb0a8a6, 0xa08f5a39,
+    0x1c4631b6, 0xe87c9171, 0xc83763cd, 0xf54db7a1, 0xdd1b5639, 0x55cd4ef7, 0x29982994, 0x2b49a87c,
+    0xa1cdbbd9, 0x3e7cc67c, 0x8ff9d90d, 0xd1967c0f, 0x31ae8bf6, 0x4b39f919, 0x675e2bbf, 0x9bf35434,
+    0xc698c409, 0xc4dcf602, 0x7a3bb67a, 0xa64f79d5, 0x6fd2431a, 0x550c8a37, 0xba3b1a19, 0x07025b28,
+    0xc4ad02aa, 0xcc845a2d, 0x50df377a, 0xfac3ea6e, 0xd481eaa1, 0x1cf4ab1d, 0x8f95f747, 0x59ba1715,
+    0x017efe15, 0x734291b6, 0xd4435959, 0xc77232d3, 0x1b255f6b, 0x3ffa96ef, 0xe8488b4e, 0x1698f648,
+    0x7efa0eed, 0x643205b6, 0xabda5150, 0xea670c18, 0x70bd7742, 0x5dbc1ea4, 0xb835ff43, 0xc26233a9,
+    0x00000000,
+    0xc94092cb, 0xdb502402, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000340282366920938463463374607431768211456 */
+  { 0x00000000,
+    0x9367d024, 0xe021d930, 0x524da3de, 0xa1ef27d8, 0x515e2855, 0xe277796b, 0xa9d80926, 0xbd838970,
+    0xdddb0b76, 0x14c55857, 0x7a23205e, 0x110e2053, 0x019e7bc9, 0x35592001, 0xfdf83822, 0x6d241642,
+    0x64b41ac5, 0x870a1e73, 0xd8c99821, 0xc33d27d0, 0xe67a6347, 0xd6a6c295, 0xec02d37b, 0x1ffc2a1e,
+    0x0a820da5, 0xe3f11d71, 0x6cc842ab, 0x18c49f18, 0x0c234dd7, 0x1b5b447b, 0xe28bed8e, 0x6286b194,
+    0xf746cf44, 0x6771a1cc, 0xba488b99, 0xd0d4eb20, 0xc7a31d52, 0xd28c4033, 0xbba3a469, 0x1222b759,
+    0x4687d1f0, 0x569856a5, 0x59ad1d44, 0xf63b7894, 0xee3f3538, 0xcb4f07da, 0x2e929480, 0xf68a4011,
+    0x73e574ec, 0x951ca491, 0x7934e973, 0xcfa33f25, 0xebeb0c95, 0x2e35733a, 0xab4d70b6, 0x2dfe2692,
+    0x64a01dac, 0xe4bef0e0, 0x04e0aa35, 0x7a719ab5, 0x7ca5ab52, 0xcbcf903c, 0xa6d9ebd2, 0xd3ea6c90,
+    0xbe55543b, 0x5a1ada0c, 0xf9ba7ea4, 0xb831e70b, 0xc803ad78, 0xde248860, 0x6ad52e3f, 0x325da87a,
+    0x3142fea7, 0xeea9174e, 0xa8bf383f, 0x4eb515c7, 0xb1a90577, 0x451690dd, 0xe9d72090, 0x0bae3317,
+    0xb829251f, 0xaccaf630, 0xc1a974be, 0xd743c743, 0x21814293, 0xa8024c12, 0x07821c00, 0x89d150dc,
+    0x950b89fe, 0x4d0112ee, 0x1f66500b, 0xd7f2e95a, 0x0d1d799e, 0x2e00cc58, 0x5e99c46e, 0xc5e2ddff,
+    0x780dc42d, 0x1939eb31, 0xa49384fe, 0xbe79e0f8, 0xb51a6cf3, 0x74c6e1d7, 0xf1f1e7eb, 0x10be8518,
+    0x90b27c5d, 0x7c743858, 0xe9cc767d, 0x5eff9010, 0xbbfbda6a, 0x7c6c14b5, 0x8841dd9c, 0x8741d7ec,
+    0xdada7666, 0xfab96d73, 0x0bb526ce, 0xa2053a2e, 0xd42870d9, 0x5bb197b7, 0xee0421f9, 0x19d1240a,
+    0xa261cf5c, 0xb927ad94, 0x513b5db9, 0x8f6b023e, 0x8eb15f17, 0x043edc6e, 0xdf8925a4, 0x4792a9ef,
+    0x3b519b0a, 0x61731e91, 0x250281d2, 0x4e12fff0, 0xa317d319, 0x64551953, 0xfb1d3821, 0x7c8e7648,
+    0x953ef6bf, 0x13cb0b38, 0x81320d1c, 0x1fe215e7, 0x6968e1ec, 0x5194c10e, 0xa58c22c9, 0x0533aac9,
+    0x3f89d53e, 0xe5fd186b, 0xd3dcbea7, 0x9e5965d8, 0x1dd895c1, 0x2df6f2af, 0x75e7352d, 0xe3de6064,
+    0x9d5a7e58, 0x6dbf7edb, 0xa0b6172a, 0x3e4bccba, 0x658796ce, 0x28a5b151, 0xa8950ba8, 0x2ebca90a,
+    0xc8333382, 0x72ba8a9b, 0x1e0976a0, 0x9ee9eb08, 0x86974ec8, 0x5d7c340a, 0x7b87e87a, 0x72618f80,
+    0x52317e29, 0xa9a8a54a, 0x9c7a8489, 0x0c3de9be, 0x2aad247f, 0x36ce9f48, 0x23a3aa8b, 0xe2c2211a,
+    0xfd6909a2, 0x9105feff, 0x1fabd3ae, 0x0a30173e, 0x0ecc4347, 0x074d40d4, 0xad9afae2, 0x9d9b523a,
+    0x3b1360d9, 0x7d405aea, 0x6697a2ad, 0x783415f9, 0xe2e5750b, 0xd19fd70f, 0x35c4868f, 0x1a718d19,
+    0x3ec12c53, 0xce288ff7, 0xf51892b2, 0x0d849951, 0xebd43391, 0x150bc3b3, 0x88fb6989, 0xf1ff0f50,
+    0x2b69de27, 0xc4514677, 0x22a0e3bb, 0x8b21a2ee, 0x5ed95286, 0x30797679, 0x116d2165, 0xd00e6de2,
+    0xe6e6e8d7, 0xf29e2fd2, 0x2eb5bd67, 0xaeac691c, 0xba15e936, 0xd5ea54f1, 0xec157b47, 0xda43d6f9,
+    0x0ff523f0, 0xbf4f6f16, 0x1d1165cf, 0x6df9b583, 0x749b6189, 0xb1f061d2, 0x06fdfe2a, 0xfa9c46d5,
+    0xd3a886d4, 0x0f174d86, 0xa6a1fdc4, 0x6a2a71ec, 0xab6ccaaa, 0x2d833ab4, 0x69a0e543, 0x76c1c04c,
+    0x861ce60b, 0xcb4b2080, 0x41eaa678, 0x75494b3e, 0x60ae4baf, 0x654229a4, 0xf996e7e2, 0xab2c3ab5,
+    0x83621972, 0xa22917ed, 0x736c0275, 0xd092a851, 0x43078d0d, 0x73a35af2, 0x0587ace9, 0xb388897a,
+    0xc4188970, 0x3b380230, 0x1b7d6ab8, 0x5f4e6aa9, 0xcb60e380, 0xd62579e2, 0x3c5735dd, 0x0c7eaf7b,
+    0xc5b5c6d5, 0x65a1cc61, 0xf93f95ca, 0x7de9d9bf, 0xcaf98986, 0x69bbfea5, 0x8250fa62, 0x70590ad0,
+    0xf25aa701, 0x59ab211e, 0x13a36bce, 0x5af27977, 0xad0166b1, 0x9066fcf0, 0x8ed43fe1, 0x9d4b1c0a,
+    0xd46d2498, 0x86177798, 0x5a453e05, 0xcc85ceba, 0x49fe9be5, 0x5d047867, 0xbb8ebfac, 0x9a137fe0,
+    0x4ff630a8, 0x63f47aee, 0xd99f6ff1, 0x4f9d80e4, 0x5a3b5f39, 0xe585a70b, 0x17c943bd, 0x8f3a6edd,
+    0x604b6108, 0xe6b3b7d5, 0x1c43a0e2, 0x9857ec7f, 0x74f5a3f7, 0xf7b8e711, 0x8be12cc5, 0xfc3fb56d,
+    0x121a33ef, 0x2f7b1f9c, 0x80e8a876, 0xce08d26b, 0x127ddd1f, 0xd7ae3c05, 0xff15b99e, 0xdfd04e81,
+    0x89503897, 0x69f2b81a, 0x91ccfb8d, 0xdc50416a, 0x27718849, 0xec614c98, 0xb9326244, 0xa447f931,
+    0xa02afbd1, 0x345fdb47, 0xcfa2858f, 0xb5e60c70, 0x27f25f43, 0xd5d9df06, 0x16bf820d, 0x11c72a65,
+    0x5df1ac9d, 0xb85d093d, 0x70140d96, 0x385723f3, 0x65867c41, 0xe126dd38, 0x6f66badc, 0x507ce277,
+    0xb4a2df64, 0x20bb5c72, 0x9a68d7db, 0xb53e58a5, 0x76772e08, 0x5cc1ea02, 0xe476164c, 0xcc1a1966,
+    0xa9aee47e, 0xfde4d581, 0xa82db226, 0x1f355a54, 0xb371b23d, 0xe7bd5ca3, 0x39c5f1c1, 0x3b4c71ec,
+    0x40fe9571, 0x42c70cec, 0x6a9d4150, 0x57b14987, 0x06d610c4, 0x224113f6, 0xd6868d06, 0xaafd777a,
+    0x76af4e4f, 0xf81b0751, 0x9a31fc3a, 0xf9ef82d0, 0x27ed7c1c, 0x0bcc4d3a, 0x2843047e, 0xb874fbb0,
+    0xd32dc9e6, 0xe79c6738, 0x1983a436, 0x0d06067f, 0xa5ac189f, 0x6ea8d4d5, 0xec381d1f, 0xcca0a8c7,
+    0x7c46f050, 0xea8e4310, 0xf83eaec0, 0x7f9f66ba, 0x79fca1ce, 0xa4a3a03c, 0xbaf73a8b, 0x2e1fb883,
+    0xd44d205b, 0x1544bf98, 0x8baac5ce, 0x8963f4c7, 0x0bd084f5, 0xa4aaf466, 0x55d09a83, 0x0fda1295,
+    0x2c36efd1, 0x279e0be5, 0xa5c54dbf, 0x157d66c3, 0xd1ec66ec, 0x6dfe1339, 0x102c5676, 0x2df19e89,
+    0x7eedb7f4, 0x39875cf5, 0x910c7357, 0x4b4ab15d, 0x30de470a, 0xfce7b240, 0xf7fa06f0, 0x1a3fc89d,
+    0x0585591a, 0x906a3505, 0xdc1b7907, 0x6894d875, 0xf12fc2d2, 0x64b15fe1, 0xa4f33295, 0xd46aac08,
+    0x682270c8, 0xb2539852, 0x7a758dff, 0xe9705377, 0x6b287842, 0x52e89a1e, 0xab91d1a6, 0x83a9c510,
+    0xa924f9c5, 0x931c1a21, 0x05a3340f, 0x37c8aa66, 0x4c21a275, 0xa92b8dbb, 0xe08c4f73, 0xa1bcb7ee,
+    0x1e742255, 0xcb873f55, 0x853e3e22, 0xabf6f68d, 0x62f37bc5, 0x65a668b1, 0xe2fe2dbc, 0x36e01118,
+    0x0ffac0ca, 0x6ed6b5fb, 0x9578d81e, 0xaef09cb9, 0x7298832f, 0xddc1752f, 0x38b2f7be, 0x0c47ae8c,
+    0x09900fb6, 0x0c4b633c, 0xb5d94434, 0xc545ac55, 0x3a69c3cb, 0x3526d02c, 0x62e97322, 0x84d98ce3,
+    0x1c597029, 0xcb3a85e3, 0x03058a1c, 0x21dd9a97, 0xe26c18f3, 0x3ac7396e, 0x9b937f2e, 0xd05313e4,
+    0x51a96586, 0x6af90678, 0xb5b0c5e9, 0x9390a912, 0x541ae9d6, 0xee01c042, 0x18735ddb, 0x63e0771a,
+    0x08ec1b84, 0xdef9632e, 0xcb0e2cd0, 0xc860fdea, 0x10718ead, 0x9ee9ebd2, 0x14047b8b, 0x0fc261cf,
+    0x2235279e, 0xee05f217, 0x04803e8f, 0xa06dc8aa, 0xe496e46a, 0xb7909406, 0x26840ac6, 0xd1cf8bf1,
+    0x550627ed, 0xc3869956, 0x880ae9e7, 0xdac10115, 0x2ca20a31, 0x6d75e35d, 0xa2597ea5, 0x3552fd80,
+    0x39d81900, 0xb7c3e0af, 0xd8403899, 0x14ccfe3a, 0x0f8bbea5, 0x7703f8aa, 0xcd21491d, 0xb5728643,
+    0x2678a5e9, 0x55fd88ec, 0x5105a674, 0xf839288f, 0x64577a1a, 0x89f92056, 0x360c9289, 0x9a15f357,
+    0xb7ee3de9, 0x090ec927, 0x8aa00527, 0x378536a7, 0x8f4cfc7c, 0xe97ffecd, 0xd7195149, 0x0eaedf89,
+    0x2f2bf0a3, 0xc0bea25c, 0x56fa747d, 0x6066baf1, 0x2c9780e5, 0x01f49778, 0xabca3a70, 0xe4018093,
+    0xb4f57af4, 0x29b818f0, 0x2b94dee3, 0x8b5a26a3, 0x0a07919c, 0x6bbb9d60, 0x54c2b81e, 0xcb60de09,
+    0xbb8b1abd, 0x55c339c9, 0x608988f7, 0xe4efaa88, 0xea22834f, 0x79f4162c, 0x34deb550, 0x876b431d,
+    0x13661f1f, 0xb7bb9e82, 0x6624714b, 0x9f873e3e, 0xf7a61d17, 0x87aa303c, 0x7ad190fe, 0xcf242b88,
+    0x05eb4ea8, 0xe67836e0, 0x9c2070c7, 0x430810a7, 0x5ebfb973, 0x05f500f8, 0xd631659c, 0x6c806d20,
+    0xafeb2caa, 0xde3bbd4e, 0x6c739941, 0xa00061fb, 0x6874a4f4, 0x899b09ff, 0xab77a35c, 0xdaa61973,
+    0xd1ccf89b, 0x289ad194, 0x0480ba3b, 0xb086b606, 0x5f8da092, 0x41ec9a17, 0x3e5c39d2, 0x6a924865,
+    0x09785f75, 0xb4d60adf, 0x0ed9fc25, 0x7809c2b6, 0x23ce27b7, 0x10152c84, 0x7763a980, 0x117812fa,
+    0x3a64bf09, 0xc3c7fb66, 0x16cbe08a, 0x52692691, 0xa5199a8c, 0x864ba1c8, 0x0a630cba, 0x95567c11,
+    0x50db804b, 0x58f49fbb, 0xb1080cbe, 0x84f52600, 0xbee4e07f, 0x998124db, 0xaada30c7, 0xf2d6ca19,
+    0x7bc35b8b, 0x64a61f52, 0xf7cb8988, 0xf1f427e5, 0x888a81e3, 0x2e726985, 0x7b1348d2, 0xb6a0e96c,
+    0x03b3d2a5, 0xc3d6c512, 0xf459cadc, 0xaebc9c9d, 0x4a3b1d72, 0xaad5967e, 0x2c6670fc, 0x0874571b,
+    0x0f3ca8ca, 0xf3da4f37, 0x0e6f5b2c, 0x8dce8b9f, 0x43688428, 0x34cb77f5, 0x3e3a9092, 0x14915900,
+    0xbcdb4532, 0x46464b73, 0x9be2422b, 0xc7c7d38b, 0xa74e9842, 0x4994f4b7, 0x1d8f5a46, 0x02a1f548,
+    0xb4a96045, 0xfd4710e8, 0x9a402586, 0x58031516, 0x86ae2dfd, 0x8baedd36, 0xb4d8640b, 0x61c48f45,
+    0x223b2359, 0x2cd0643c, 0x95684ad0, 0xc875550a, 0xc956c0d8, 0x46a64ff9, 0x49a95723, 0x1f26a1d4,
+    0xd3e4d1f3, 0xe61071f8, 0xac0f51e4, 0x442f1492, 0xd1519f97, 0x4dae33a5, 0x5afed4a1, 0x3af92a35,
+    0x0c938edf, 0x31cc7cb9, 0x8cd87c10, 0xcd806dc3, 0x3fb8abc5, 0x413362d0, 0x2a3f97fc, 0x7bb5d4e3,
+    0x2227c936, 0x544659c8, 0x9b959838, 0xd9be7811, 0x5ef2b17e, 0x6d8dd503, 0x3346632b, 0x4179158c,
+    0xf49493be, 0x883ee753, 0x88cf535d, 0x8afd40c6, 0x408f2b9d, 0x6c4952b2, 0x298d6a2f, 0x5f1f185d,
+    0x415a3353, 0x5696533b, 0x4cd7bd53, 0xdd844af9, 0x86fafb61, 0xe239c8ab, 0x0b2c34ca, 0x0f4eaaf8,
+    0x791eff4b, 0x961af481, 0x35f70755, 0x458f047d, 0xc8fde555, 0x15ea6c52, 0x4afe3f9d, 0xd52009da,
+    0x068c1b41, 0x77056e9a, 0x109ae30a, 0xa9077246, 0xde77951f, 0xb05edffa, 0x6c7a6a8b, 0xc836d5e7,
+    0x9583f7f8, 0x7ac31917, 0x2693e359, 0x34c0643f, 0x5cfca31f, 0x8048373e, 0x7f8a4f9b, 0xd4bf7bb4,
+    0x45b80c08, 0x64be520e, 0xe685e539, 0x18601977, 0x6f59d3bb, 0x893563d0, 0x2ea0002c, 0x8203810b,
+    0xc1aeb9c5, 0xf01c9b9d, 0x8d68e5e3, 0xf48f6a1e, 0xeeb62fe5, 0xc8aa611a, 0xfbc2cbdf, 0x2b014981,
+    0x0b2068a8, 0x9242fdc9, 0xafde3a32, 0x6dcfad3d, 0x20b63c52, 0x04c33138, 0x5425bcdb, 0x81223aeb,
+    0xe1ccadb7, 0x94b804c7, 0xb0693746, 0x39cab6c2, 0x7f8f4b1a, 0x3e2a6c23, 0x3eadad4a, 0x9b9bc4d5,
+    0xd9116376, 0xb49e4c60, 0x4e521659, 0x22e4706f, 0xc2dd770d, 0x08c993b9, 0xf9bc71ca, 0xb35056b1,
+    0xbf555c96, 0x5064a8f0, 0x7d3f5c24, 0x84b86ec2, 0xf833c031, 0xdfce9352, 0x2f7829ac, 0x2e20ad1c,
+    0xad5c3803, 0x9a2a90c6, 0xe7b3bc09, 0xa2ac8f92, 0x5cea62da, 0xc8deb688, 0x240e8877, 0xfdcb0b08,
+    0xac1018a6, 0x9724707e, 0x9a9613d1, 0xb31bb41d, 0x6060fb5b, 0x7c604a4a, 0x3e210d6c, 0xaa11afc5,
+    0x9200dae9, 0x464f215f, 0xb7ce4e0a, 0x02b44f66, 0xaa3f4703, 0x97cc4ec2, 0x82529423, 0xa80c654b,
+    0x6f4ca670, 0x33ef11d9, 0x81372941, 0xd7ca2024, 0xae9f7408, 0xcf4b71fa, 0x6c46b5f3, 0xc02198df,
+    0x3d8dede3, 0xfba3f96d, 0xf402b602, 0x5546990a, 0x3ac5537d, 0xc9b4e1b5, 0x0e0551c8, 0xf549e3bc,
+    0x46f7b645, 0x70f3c29a, 0xe8b532fe, 0xc8adc5d1, 0x48c57061, 0x893b7ca2, 0x16e1ea0a, 0x932497b0,
+    0x57b98a49, 0xa2800932, 0xa5c4c181, 0x2afaf285, 0x1dc35952, 0x7b673e61, 0x3e9d1bfa, 0xa58b4050,
+    0x7934aace, 0x8fa3a08a, 0x05d8d0ca, 0x7a43e4d2, 0xc8464471, 0x56caefce, 0x536d5d3e, 0x1e628a28,
+    0x75ea4b53, 0x8f3fc288, 0xfc8fb7dc, 0xfeb02e65, 0xe20da2da, 0x5c753518, 0x9e70f435, 0x8b9b072e,
+    0xd57de248, 0x25b16881, 0x47404896, 0xbe0c8199, 0xb54d6952, 0xd7c24ce1, 0xeba22f42, 0xc0e77612,
+    0x2d478c0e, 0x9ad6f75a, 0x3fced3e4, 0x59ebc569, 0x4b8c311f, 0x6e735cf1, 0x8db7e93d, 0xa50a81cf,
+    0x0023ea55, 0xf9c4db6e, 0xc7d169e4, 0x2c015174, 0x005772aa, 0x8285d739, 0xa489ce43, 0xf50b782e,
+    0xbdce8d01, 0xd1938ddb, 0x330946ee, 0xc9a32967, 0x2d167c97, 0x020155d1, 0xe9650934, 0x17fecaf1,
+    0x768aa3b5, 0x67fe5901, 0xb574ab88, 0x2e83bb7d, 0x931be49f, 0x0d9d80a9, 0x9f5c059e, 0x51ae8189,
+    0x5b1780b2, 0x632ceb1f, 0xf5a4087f, 0xa0e4ec19, 0xe27c0651, 0xbaaa502c, 0x2d6d6c03, 0xb7961d7d,
+    0x67854b66, 0x88a8f1f6, 0x25c77f7e, 0x462d40d0, 0xda0141b6, 0xde92b72a, 0x3e7ec6e3, 0x5a43ca3a,
+    0xf2f64e7c, 0xb8a56235, 0xf57cb230, 0x6b6b097e, 0x997b0626, 0x5ff59da0, 0x53c75b13, 0x2002cee9,
+    0xea2a12ac, 0xf59e46ed, 0xfdf85c9b, 0x2c4c611b, 0xf2858b1a, 0x41a8f214, 0x4d83c03c, 0xd0018e32,
+    0xe082b1a1, 0xa5eb217d, 0x42e2d23e, 0x57995ee0, 0xf43818e1, 0xfca4d738, 0x4c116f77, 0x8955e829,
+    0x29054574, 0x62dbfb83, 0xaadebe6f, 0x824ed079, 0x49b5f998, 0x075d15ce, 0xc9c77938, 0x5039225f,
+    0x3033c33c, 0x28ef5221, 0x3edff169, 0x7653a1f2, 0x634d44e6, 0x8f6a740a, 0xfca61020, 0xded175d1,
+    0x8b988f35, 0x0a3f3dc2, 0x997796af, 0x7e4f27df, 0xdb8143e3, 0xdc117ef4, 0x09b9cdb0, 0x14980c3a,
+    0x3a1f372b, 0xce656552, 0x620f01fe, 0x754faa3f, 0x0ef9c9b3, 0x2792d842, 0xa37f8434, 0x2b54ac98,
+    0x3d29ee46, 0xee50df77, 0xf160f870, 0x27f9f399, 0x73c74c26, 0xb678cbae, 0xe766f402, 0x6bdf3753,
+    0x597c1395, 0x0e780fcb, 0x9c33cf6f, 0x07855b3c, 0x8884bc81, 0x686823f1, 0xcde2f246, 0x095088ff,
+    0x064b78b8, 0x37aa6c78, 0xa13a9f77, 0x07101edf, 0xa380d213, 0x301ef3b6, 0x3c741d51, 0x83996d7d,
+    0x6034bb9a, 0xfc04c1b2, 0xfbb58c5e, 0xa8b52fd4, 0x7d7f3410, 0x7f4c52ca, 0x6e3140e5, 0xc6707786,
+    0x9fe41281, 0x66e36198, 0x712b708a, 0xbe8e7e4a, 0xbd4ff6d9, 0xd0876822, 0xd747a00d, 0xa7a4d95d,
+    0x5eb38a63, 0x6ae9db12, 0x6e14429f, 0x83c45e8f, 0xcc9fecdc, 0xd8c025ad, 0x2a542035, 0xf761df6f,
+    0x8e3b2182, 0x43ef1776, 0x58c78f06, 0xe4f80b71, 0xc8052473, 0x210d8304, 0x088be4e0, 0xba55cdaf,
+    0x7fde34f6, 0x1e7efa5f, 0xb0969f7e, 0x1eea11e6, 0xb024aae4, 0xf79a7101, 0xbf1a36ca, 0xf80b7069,
+    0xeba318fe, 0x6ea2b3de, 0x57b53a58, 0x1d451509, 0xd9deb102, 0x6760b5c5, 0x701e3ae5, 0x9dbcc90f,
+    0x00000000,
+    0x64a04965, 0x6da81201, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000170141183460469231731687303715884105728 */
+  { 0x00000000,
+    0xdef45bbe, 0x41b8288f, 0x5c44747e, 0x9b1108ff, 0x00ee4be9, 0xd962472e, 0xbd1eff77, 0xdc0a0a56,
+    0xbb7f0f2d, 0x46c46bf8, 0x79fa94e2, 0x0c05992f, 0x6cfb4df4, 0xcccb425f, 0xd250270d, 0xcb1a6e53,
+    0x9c6de09a, 0x9dd21e32, 0x874ba1d3, 0xd7e8b84b, 0xa42f28b6, 0x533c6e6e, 0xa16b9677, 0x963c4b12,
+    0x7ac6b68f, 0xcf860a97, 0x1c9d7f22, 0x1db4eca9, 0xc49126fd, 0x069c696f, 0x07ca166f, 0xe59baf0b,
+    0x7fc15984, 0xede927a6, 0xb07c6e3d, 0x080c9328, 0x6c737977, 0x8b80f247, 0xd0c050e2, 0x325e311d,
+    0x83417f53, 0x7a02ce9d, 0xec2d8a33, 0x4fae5b0b, 0x8aed4681, 0x06f0fac1, 0x9adbdfdc, 0x124d43e1,
+    0xad433adf, 0x8e0b841c, 0x411e2b79, 0x87a5d3a1, 0xad6a8b2a, 0xb896c992, 0x1b65ee65, 0x98af0327,
+    0xac32c2db, 0xf9bd3d83, 0x46d931ec, 0x06b1d142, 0xaf4666fd, 0x20e28ee5, 0xe8585063, 0x4275fa01,
+    0x404f169e, 0x41661f28, 0x634f5309, 0xa9cff17c, 0x23053b6d, 0x4257a926, 0x469c98b8, 0xd1c51a09,
+    0x6efcfd02, 0x442b2945, 0xc34076a7, 0x0bb14eae, 0x867a29f1, 0x746924ce, 0x3685d45c, 0x7391241c,
+    0x815e93af, 0x4a14bc4c, 0x93744035, 0x8a12231e, 0x629e236d, 0x070177d0, 0x016cf8e1, 0x73a26125,
+    0xa3a5eb04, 0x055e33d1, 0xb0366369, 0x935b7a91, 0xd334e3d8, 0x39fcc4a2, 0x1ad9791f, 0x48f5e304,
+    0xff65567c, 0xa888f0f5, 0xb2825a1e, 0xc5f6056a, 0x48fd77c3, 0x64aab218, 0x2e2d09ed, 0xfd7b4c9c,
+    0x4845f31c, 0x34545de3, 0x1f184ee3, 0x07112570, 0x187679ad, 0xebd51817, 0x6841453c, 0x1bb4cd39,
+    0xfcac8f68, 0xd19ba524, 0x8d5d2754, 0xd1ee14dc, 0x99166c98, 0x1337094e, 0x91f8b263, 0xdeecc753,
+    0x6208683d, 0x6ee1af6c, 0x2c905d8b, 0x7dd929d5, 0x70876463, 0x2a5a2d9d, 0x83eba71c, 0x27169e92,
+    0x1a3a61a6, 0x16369c3b, 0xf5c87808, 0xdcd30f3b, 0x53d39dd1, 0xf4bdeb8e, 0xb309f93f, 0x9eb90580,
+    0xa46df97f, 0xa3938bc4, 0xde085d38, 0x5a926c69, 0xff9b15e9, 0x2b93b68a, 0xacd24e0a, 0xc4977446,
+    0x007a025b, 0x8f8ad213, 0x32e5b041, 0x5c784266, 0xa94f6863, 0x624d7eb2, 0x7f53cd41, 0x78153bfa,
+    0x95b9e523, 0xa1bbcfc1, 0x1db65c32, 0x1610cda7, 0xc3d231b0, 0x412cbe3b, 0xaad17786, 0xf53c8610,
+    0x6d3f4d78, 0xfe06a95a, 0x3745af1c, 0x45d601dc, 0x9feef30b, 0xcbb5490f, 0x7050f041, 0xf8625601,
+    0x748f4110, 0x20d2b62d, 0x428d6738, 0x99a12351, 0x5997e45e, 0x5394dee3, 0x78cbea0f, 0x54bcfef2,
+    0xd8df0ceb, 0xe2095ecc, 0xdbdbe125, 0xc06fd94f, 0x0da350a4, 0x687011e8, 0x03085981, 0x01730223,
+    0x38c1106b, 0x0918b760, 0x0c5e02ba, 0x9b06e961, 0x47ce215a, 0x394bbb28, 0x6ccc5fc2, 0x89120f8a,
+    0x8a00f54a, 0xd33eb09b, 0x80a167fb, 0xa5e3a36d, 0xe754bff3, 0x6b1af56c, 0x74ad5f4b, 0x3f584052,
+    0xb5b82b2c, 0x09c4b389, 0xf38d623d, 0x463c8b34, 0xdbc99d2e, 0x44505ad0, 0x70f22640, 0xdc2546ba,
+    0xd01272df, 0xeabbd052, 0xa25fb246, 0x22ba318a, 0xfba6d50b, 0x096946fb, 0x24211ab5, 0x08a98839,
+    0x20f6a973, 0xd7d06401, 0xbdb7b6aa, 0x1e6aeaac, 0xab2650cd, 0xe4033e79, 0x02d326ca, 0xb15ec035,
+    0x9946ee54, 0xc57e2de7, 0x9f2d3a49, 0x658342ee, 0x17373912, 0x5f6ecd17, 0x1db277f4, 0xb77250d5,
+    0xd6bf9e75, 0x0b63bcb5, 0x0d2b7708, 0x3bf37b2f, 0xff5828fe, 0xe0931694, 0xd9f6a747, 0xc635c193,
+    0x9a3bb4e7, 0xe7520263, 0xb09bf0bc, 0x7f92e9bc, 0x3a4da677, 0x71402116, 0x8cf80b86, 0xe4d59978,
+    0x78401f74, 0x14348967, 0x81178d26, 0xa767a36c, 0x3c0307f1, 0x910b105a, 0xdb97c6b3, 0x0eba6d9c,
+    0x3520ceb7, 0x05f27717, 0x5d97f2c3, 0x57355eb6, 0xcc964e5a, 0x0b19d76a, 0x1fb4459c, 0xdc73ac8e,
+    0x49ef8ff0, 0x4d3b18da, 0x3786d51a, 0xaa952dac, 0xc593b4d9, 0x047a4dc5, 0x3296859d, 0x409bb8b8,
+    0x26b336c7, 0xf60f98c5, 0x9726da29, 0x2e34fa84, 0x2d4a363a, 0x9d01b340, 0x32e90c3f, 0x26b09d7c,
+    0xaa7728ab, 0xe824724d, 0xf34b8a6c, 0xfb53cf2e, 0x47cbfd5f, 0xb6f319e0, 0xead08790, 0x12f35f5e,
+    0x0f5c33ec, 0x34a12c62, 0xbc9d31f9, 0x9e54cf0f, 0x934a9670, 0x99c3729e, 0x06bf11c4, 0xddce62d1,
+    0x113b2b79, 0x6e36f66e, 0x8880348e, 0x9a4e933b, 0x9ae0cea1, 0x6d28e9a7, 0x0507e6b2, 0x377f715a,
+    0xbee1c190, 0x1e0c60d2, 0xe8a30b77, 0xb084ab64, 0xcb30c156, 0xdb8dadbc, 0x32122639, 0xe565f6f0,
+    0x0d57de55, 0xbb9e18f8, 0x2fba47bc, 0xe36f4c93, 0xd9ea924b, 0xc51ef7dd, 0x88b9d609, 0x447c1e9e,
+    0x749a1349, 0xa6dcefb0, 0x631eb9ef, 0xe0a3e520, 0x5edc5005, 0x65b64963, 0x157c42bd, 0xfb3eac48,
+    0xa924b73b, 0xa936e329, 0x9f8a5ce5, 0xdf7657af, 0x2e4e229a, 0x0e95ae70, 0xec07d6b4, 0xfc3db241,
+    0xd43bdf39, 0x6bb5721a, 0xa8815b02, 0xd16bb54f, 0x9d594f23, 0x96941336, 0xafdf1a28, 0xadf613a3,
+    0xe8825433, 0x009f0bfa, 0x6b43e937, 0xdc34d0f4, 0xbf597a66, 0x404286b5, 0x3f03e22c, 0x3d10de08,
+    0xf11ef0a3, 0x44efd001, 0x6bc401ab, 0x2133d981, 0xd57de4f6, 0x70072ad8, 0x5e179bdd, 0x4be375e7,
+    0x5aabf1bd, 0xb8973b8d, 0x862c3ce5, 0xec63158c, 0x788b2cd7, 0x18b206e1, 0x3ee0f662, 0x5d2991a5,
+    0x5d2721e9, 0x7348567e, 0x7fbb982a, 0x345c107b, 0x0c558ef5, 0x25b395ea, 0x550866c8, 0xef944468,
+    0x6317d249, 0xca9b461c, 0x6aac9a47, 0x9387a04e, 0x83b799c4, 0xf9e4ff21, 0x8f9fb5db, 0x0713bf07,
+    0x7d84f6fc, 0x62c4db58, 0xad19d246, 0x36fe59d9, 0x24e99947, 0x51250b8e, 0xfb7d15a1, 0x9fe8b78d,
+    0x5f2518e0, 0xc828fe47, 0xc47da6ae, 0xe9dbbd29, 0xe518c103, 0xeaf6b73d, 0xdd0b15f2, 0x8b3e801e,
+    0x5cf7d233, 0x618a8a00, 0xcfa87cc9, 0x1fd22bca, 0x33fbabc1, 0x03363fe6, 0xaa44b147, 0xef7c2be1,
+    0x9e7972e6, 0xcd721c0c, 0x55adf5a1, 0xc54dd079, 0x1e013a58, 0x5b1ca861, 0xa3673fab, 0x77388203,
+    0xee4a7f0a, 0x7dee4980, 0x783727bf, 0xcb7da48d, 0xb46fa3a0, 0x4d1b95e4, 0xc66d58b1, 0xf0c13e37,
+    0x59dfc9c2, 0xa1c0a726, 0x9976a616, 0x325ef0af, 0x5ad7ffb0, 0x1520ad20, 0xd573d88b, 0xfb1ff5bb,
+    0xc9378b47, 0x7dbe8d95, 0xddd5d7f6, 0x62aaa508, 0x66356b87, 0xa0e2a0e2, 0xe7d53a54, 0xb6e07668,
+    0xe8634aac, 0xd118f3d4, 0x3b7bf972, 0x5909d9e4, 0xabebae86, 0xbd96adc4, 0x49dcedc3, 0xe24fe74e,
+    0xa63f20a6, 0x79a769e9, 0xa8769837, 0xde9165ed, 0xb0c997b9, 0x798300d4, 0x3b230c6e, 0x55282b1d,
+    0xb6ef256a, 0x09c5b19c, 0x19bf7218, 0xba03ff76, 0xf5aaa63e, 0xb06f9a6b, 0xee9f074a, 0x786fdfc5,
+    0xfa461901, 0x66b4391a, 0xd388b966, 0xa75ef522, 0xf5a3d43a, 0x4a35d2c3, 0xe3ab5b3c, 0x7162d117,
+    0x230c5182, 0x5cb1365d, 0xc011f764, 0x3a604e70, 0x219d91f3, 0x7c51659e, 0x3477487b, 0xe50685f8,
+    0xf92782f2, 0x94e17c37, 0x22fa2fcc, 0x6cb86d83, 0xd5594050, 0x68047089, 0x12704739, 0xb45c6c47,
+    0xca04bf00, 0xc04d2927, 0xc4320d89, 0x634573a2, 0x09b8ea09, 0x9e2c19a0, 0x9b9ea704, 0x02436fac,
+    0x8b62516a, 0x595abc8c, 0xdac35b23, 0xa3ed2be8, 0x346d0cd1, 0xd0c5e1f1, 0xd45d1b21, 0x444f5932,
+    0xe17ed584, 0xdb2e23a1, 0xf91e7dc3, 0xe4800b43, 0x36e48e14, 0xfd991f82, 0x8ab4cd93, 0xb0446ef3,
+    0x8d283cf9, 0x8a9b3d2c, 0xd650a595, 0x661d3c53, 0xd62d4cf8, 0x182aff6f, 0x1820ad88, 0x62923a11,
+    0xbea70bf3, 0x8172961c, 0xa997748f, 0x6527e9cf, 0x7088e1c8, 0x84e62f02, 0x193bc8b9, 0xccdd8d5d,
+    0xd697f35a, 0xe98fce46, 0x0b5ad747, 0x0f80d91f, 0xabbacddd, 0x73ad5343, 0x00b9f72a, 0xff9a1b3e,
+    0x0912a294, 0x51ba8606, 0xc1166388, 0xab219164, 0xb38a171f, 0xa802564f, 0x593089d1, 0x6a2f8469,
+    0x6288310b, 0x47949174, 0x86800c57, 0x6f499f38, 0xc6e28edb, 0x52d5a9b7, 0xb4e9f91b, 0x9bc30f6a,
+    0x870d5f09, 0x2fce5c53, 0xe2ff5c00, 0xb72af27b, 0xfbad98ff, 0xace0e009, 0x77aedf74, 0x499effea,
+    0x91318a2c, 0x319cd872, 0x7ea78bea, 0xe949d288, 0xa19061c5, 0x1119cf73, 0xf75de6e3, 0x0bc310ea,
+    0x5a6c7f93, 0x97c3e536, 0x51005f74, 0xdede77ba, 0xe63ce82c, 0x04a724ce, 0x8173df67, 0xd9df6ebb,
+    0xe0fb1d03, 0xe5c21700, 0xd3568c20, 0x65b48f6b, 0x42cd2d66, 0x01eab66d, 0x46f94420, 0x21f36ddd,
+    0x471a73ff, 0xc50d0d56, 0x79b4355a, 0x5b2a0f39, 0xdc8807ea, 0x987cfc6a, 0xa3bdb90a, 0xcebd21a0,
+    0x27650845, 0x91e6cb55, 0xea6ebf25, 0x4a626130, 0x642563b7, 0x8a6cb6ed, 0x71a441c4, 0x83eba563,
+    0x8551b5b6, 0x2c371966, 0x60ca74a2, 0xe4034088, 0x1a1aabb5, 0xd8e96569, 0x969521ea, 0x3ef90447,
+    0x9824c785, 0xc4ae7733, 0x25f38321, 0xfcdd46eb, 0x2462ce22, 0xc55d7fe9, 0x2d164c4a, 0x777db973,
+    0xb07d2fcb, 0x5d065071, 0xab60e910, 0xbdab0c67, 0x6e6c1958, 0x1c55163f, 0x594594b5, 0x6166e384,
+    0x841f46b6, 0x9a0d974c, 0xc2cd67c7, 0x63e318fd, 0x97bfde46, 0x4cb4fff1, 0xc248ba0d, 0xa3189d1f,
+    0xb7cf7402, 0x8c6da862, 0x4fd6b852, 0xb4206500, 0xa58de9bb, 0xc33bd022, 0x9cd47049, 0xb03a5569,
+    0xd12a1d72, 0x41b9cf40, 0x04cd8211, 0x1f88f362, 0x19b9dca1, 0x39bd7a34, 0xf7ec3c7c, 0x172c452c,
+    0x3b396764, 0xbb6d7804, 0xe513fcc9, 0xe36cb98e, 0xf69ded27, 0x99beac9a, 0xfb3a100b, 0xd5177a21,
+    0xe0f3ea10, 0xeca2a334, 0x08094539, 0x94fd1ccc, 0x29e294fe, 0x9c9d4122, 0x7f4cf884, 0x8644891e,
+    0xf57c91fa, 0xada8465b, 0x2ce96230, 0xc3acaf4e, 0x5168f8d5, 0x98a6823d, 0xc9004254, 0xb6dd2c20,
+    0xa73c5070, 0x0f18a010, 0x40f612fa, 0x7fd36b26, 0xe331c33c, 0x6448952d, 0xc7c84381, 0x44bfbf6c,
+    0x0b4909d4, 0xf244db52, 0xfd412755, 0xc31155ae, 0x1aa9dd98, 0xf28ec6a0, 0x19675e82, 0x4940b62c,
+    0xc2c0aba7, 0xadb22dec, 0x02719910, 0x4608b038, 0x5eadee6f, 0x30a0d0aa, 0x6cb5a134, 0x6002f604,
+    0xf56f3743, 0x93bd11b1, 0xdc37cec4, 0x591e5cc3, 0x30c02fd8, 0x4016b6a4, 0x55b3de5a, 0x2c941596,
+    0x117db3a7, 0x4112d0d9, 0x56b9867c, 0x4fb49e6f, 0x65d535fe, 0xc277e936, 0x9524c9b0, 0x91f446f6,
+    0xd611c617, 0x18606424, 0x2bfa4239, 0xe70d5ba4, 0x1e2ed0b7, 0xdcc61b24, 0xba93965b, 0x5bf5ed91,
+    0x434be8f2, 0x23f13c79, 0xac8f757f, 0xbd5f1275, 0xff9e1599, 0x15911eb6, 0x35d5b732, 0x96e68d02,
+    0xe596e79c, 0xe8821bf6, 0xae7ca47a, 0xde611278, 0xc5317f98, 0x147b00ed, 0xd633c9ee, 0x5999d6b9,
+    0xbe9eda1c, 0xc0773151, 0x05f1ec8b, 0xbfed056a, 0x8879ebb7, 0x1d8168e9, 0x4af5d05c, 0x074f5167,
+    0x9968c2a5, 0xa914ff77, 0x2f8439f4, 0xee444b51, 0x582c22a1, 0xd231b3e7, 0x8f9d6538, 0x3a86bc98,
+    0xcdab01a2, 0xf555775e, 0x2b869d50, 0x425554d0, 0x3902f542, 0x1a64588f, 0x71cb0028, 0x5fe181d9,
+    0x0545d22a, 0xb85930f7, 0x3ae7a998, 0x2c5cc6ec, 0x224a2625, 0xea01f2b4, 0x5397c2f8, 0x38570de5,
+    0x8e8e839c, 0x744fc790, 0xd1822f65, 0x7745d860, 0x99cb19cf, 0x286cad08, 0x0d18eb6c, 0x27f6be43,
+    0x33aab6ce, 0xd686c58c, 0xb28fc429, 0x66a8be3b, 0xe1d4c2b0, 0x39675d85, 0x8035e544, 0xa13d19b9,
+    0x5e147e2c, 0xa396b0fe, 0x33aad0d7, 0x118f940c, 0x5045f7a8, 0x48e426d9, 0x2322ba1b, 0xc3a81c36,
+    0x828213f2, 0x006b47cf, 0x5978d97f, 0x861ab014, 0xaf4e3047, 0xabc4bba3, 0x1a1a0862, 0x206de373,
+    0x0fc67150, 0xe664ed00, 0x3b511e9a, 0xc9ab5bb3, 0xf28e6dc9, 0xd2cf7e61, 0x4d3e5715, 0x0ee199cd,
+    0x960d132f, 0xc8b721a4, 0x6ddd6945, 0xfa7d3151, 0x70b550ee, 0x5add1e2d, 0x1e67e590, 0xd61cf6d3,
+    0xd3e9d6a6, 0x816eb70f, 0x560ad7b1, 0x85d9d1ce, 0x16fef36a, 0xe8be6233, 0xfc8d7361, 0xc83ad651,
+    0xab7e75b2, 0xed5bbf35, 0x84612da9, 0x0da565d8, 0x5325068d, 0xb2832aad, 0xbbda181c, 0x93fe5b79,
+    0x895f393c, 0x9c136027, 0x1b0156fc, 0xf8addbaf, 0x1a4b6b41, 0xcf381f85, 0x0b892810, 0x952d3bac,
+    0xeab8dbbb, 0x20757022, 0x7e8afa04, 0x720d325b, 0x39a0bc46, 0xfbac838b, 0x6a3201b8, 0x7e31eca5,
+    0x961f4b07, 0x1b072368, 0xb11dac14, 0xcf6f04a0, 0xd3659836, 0xe454b3dd, 0xcbda922f, 0xed8790ae,
+    0x4be6d59f, 0x99b6de51, 0x9e49a158, 0xe4d862c1, 0x676c468f, 0x1265fb1b, 0xde147b35, 0xa11e073f,
+    0xc6470043, 0x7b6e4241, 0x2843385d, 0x4faa9b44, 0xa9a259b0, 0x6dd276b5, 0x610199bb, 0xda14c5aa,
+    0x9ccfbd24, 0x77fef747, 0xb4ead4fa, 0x8778adad, 0xcbeed6c8, 0xc3a66ad7, 0xc9cc2791, 0x63179606,
+    0x309fbb39, 0xbdf9e5f8, 0xb9f5b8d5, 0xa88fc1f7, 0x377f2984, 0xf1115065, 0x09daef7d, 0xc388e1e1,
+    0x93325399, 0xd3601d95, 0xb8ff9d26, 0x4fedce54, 0x71f10956, 0x71b1fd96, 0x9e91c127, 0x8e5023c7,
+    0x6f31e64b, 0x7771b8e6, 0x4c75f510, 0x2fd2b2d5, 0x5b0f7b60, 0xafe3580f, 0x201117ab, 0x941cca9b,
+    0x739508e9, 0x18b84201, 0xf0cb02d0, 0x055316a4, 0xae66c740, 0xe9d6bffb, 0x3555d53c, 0x22ac057b,
+    0x76eae5d5, 0x4ccdb0d7, 0x36fd349d, 0x9aa26e96, 0x9a8d4e57, 0xf31ec437, 0x61d68519, 0x043018e4,
+    0x51199799, 0xa87d306f, 0xa50b77d9, 0x41c46503, 0x4d5ba882, 0x7aa123d4, 0xbc3b4fbd, 0xe0a5ab23,
+    0x712a9acc, 0xa609bff1, 0x86bb62e2, 0xdac35974, 0xdf8df61d, 0xdbc6e6eb, 0x2d8d1e6a, 0xe0f4f180,
+    0x61dc9b7e, 0x8f780196, 0x5bb87ae6, 0xa3660c35, 0xdddbf24b, 0x87c78eb6, 0x541fc6c5, 0x1acad8a6,
+    0x48f958d5, 0xd242eb88, 0x2ba65d20, 0xb48869de, 0x4421d541, 0xe72642d0, 0x36e3c6b2, 0xa8c50b93,
+    0xd883c5d1, 0x505f8e1c, 0x3ab3c72f, 0xc9ec79ad, 0x54fe1050, 0xc7776661, 0xec472f12, 0x010a7178,
+    0x2c1cff4c, 0x91217e3c, 0x4a0acb77, 0xe87be511, 0x54bf4e61, 0x2bbebe63, 0xfd69ac76, 0xd31c9a73,
+    0x048f8da8, 0x63fcaee7, 0x3a16009c, 0x0aa944bb, 0x89b39083, 0xb24c2906, 0x6ee7afbe, 0x255b83cc,
+    0x0a1fbd3b, 0xf8e01465, 0x0fd438d8, 0x0614834c, 0x0b18f2cc, 0xf3d28026, 0x86d49e7e, 0x22189a66,
+    0xe35f8148, 0x0b3c4118, 0x00d38aa0, 0x853ff76a, 0x472a79a8, 0x353a4bba, 0xc5f5a81f, 0xe780b5da,
+    0x983bfd2d, 0xf5857420, 0x03a60b53, 0xdc40219f, 0xded18194, 0xb7246df1, 0x25e4cd73, 0xdfc6c13b,
+    0xce04b5ed, 0xd07690c6, 0x2c18e773, 0xd73509cc, 0x4c4b4687, 0x7e267f96, 0xd8f820ed, 0x8e17c866,
+    0x00000000,
+    0xb25024b2, 0xb6d40900, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000085070591730234615865843651857942052864 */
+  { 0x00000000,
+    0x0a72a1a7, 0xf5463437, 0x611473fb, 0x6a743edd, 0xcda7ff2e, 0xb46d2a2a, 0xcdf1ab14, 0x1caed9b7,
+    0x8e2e6162, 0xf78515c8, 0x07373e6d, 0xeecc010d, 0x5b25b7b8, 0x0c1aa268, 0xf3bf36ee, 0x8b70cd19,
+    0x8730e70e, 0x29b588ed, 0x6c9dd6fb, 0x156d4f9a, 0x5cb7d3d1, 0x4c410629, 0x779ec15f, 0x5833658e,
+    0x78d299c1, 0xdd7f1877, 0xae62f7fc, 0x5a6511eb, 0xb40c84cb, 0xc08652af, 0x981d6593, 0x418dc75f,
+    0xf2a8f769, 0xec06ca64, 0x489d25af, 0x436e39c6, 0x5e09bedb, 0x1156e3f5, 0xb7facdfc, 0x34c0ae09,
+    0xaaa98700, 0xa85159c4, 0x586f8837, 0xbd7b1e13, 0x57de41cd, 0x6e3b8bda, 0xa4518f96, 0x6d7aad55,
+    0x93f56f24, 0xdd2884ae, 0x430c4791, 0xd349d430, 0xbd3d34b8, 0xffe0c835, 0x9c79f923, 0xd442efe2,
+    0x73881293, 0x8c9596c2, 0xb6cd48af, 0x5c5e958b, 0x354d949c, 0x2453b23b, 0x7a5626b3, 0x19b10e7e,
+    0x1dd9b7ce, 0x4b5e2ee5, 0x875f2a16, 0x2ce88ef0, 0xf1e50b43, 0xdceca2fd, 0x83218ea3, 0xb365ab4f,
+    0xa0d2a406, 0xb391efa9, 0x6ce0623f, 0x864c9568, 0xacaf3026, 0x56ac7fb5, 0xefd7d146, 0xdde7573d,
+    0x355d6b04, 0x16decdc1, 0xe54c35b1, 0x218bc6fa, 0x78190a73, 0x6d37cb73, 0x1802b1d0, 0xd36b4b62,
+    0xaff89470, 0x82a4b593, 0x8f1ed447, 0x7b27351a, 0x7493fafe, 0xe3385004, 0x1ff626a8, 0x0555f39b,
+    0x84616722, 0xcf32703d, 0x0ca66e3c, 0x97ce4f07, 0x33543f4f, 0xd05f4fe5, 0x3fe5487c, 0x52aa1374,
+    0x6ce8f102, 0x90c43e6b, 0x7d0fa8c4, 0x55c16d02, 0x12440972, 0xc4f882a2, 0x1f675a69, 0xac5140e8,
+    0x2517b8cd, 0x55883948, 0x914e0152, 0x7f2c8530, 0x282bdb16, 0xadf9fd9e, 0xee9b81b6, 0x109a15d1,
+    0x82f8b196, 0xf88edba0, 0xa1efff84, 0x08bc0c9a, 0x62352a24, 0x70d093b6, 0x8247cabe, 0x2010736a,
+    0xd5e1bf17, 0xd3356a1b, 0x574adb08, 0x8f2a7f9d, 0x6a1c7715, 0x74bd0558, 0x1a8daa3f, 0x8bbfff3c,
+    0x0eb38774, 0x56e81372, 0x761666a0, 0xe034b92d, 0x1dffa7e1, 0x351df9b4, 0xecda564a, 0xb64cac5a,
+    0x0c5e4fd5, 0x8e6a0dad, 0x8f663f78, 0x98d7f136, 0x58d75497, 0x335009ae, 0xbce27ea8, 0x77f98e21,
+    0x98bf2e98, 0xf12222ba, 0xd3bbf8d3, 0xbc272476, 0xf07f9aa3, 0x656420cf, 0xcd081131, 0xb02f67f5,
+    0x918ce234, 0xee589494, 0x8d958eb7, 0x65513cf5, 0x13d0402b, 0x5633dd94, 0x05fd897b, 0x141423ee,
+    0xaafbfa61, 0xe604dc21, 0x4c8a0251, 0x5592fb10, 0xdcbe29ed, 0x1be8772e, 0xf7a43a41, 0x80eeed6e,
+    0x45d2912b, 0x3ce71493, 0x2670723e, 0x3aeab1ab, 0xa091f36d, 0xebdb8784, 0x329e1ce8, 0xf3d1b0ee,
+    0x489ad65a, 0xf91af954, 0x2ee3e399, 0xb3e9147d, 0x3fd2ff56, 0xabf6c968, 0x9855ae58, 0x221dbc91,
+    0xae4dfc0f, 0xe61eafbd, 0x4b3d3782, 0xce57469b, 0x750622fa, 0x036cb0d0, 0x4272d159, 0x19648d4a,
+    0x0bbd8b40, 0x3fe67ce3, 0x4afa7383, 0x9149cbca, 0x96a86522, 0x6dfb2ab3, 0xd07f2b23, 0xbd1430c1,
+    0x6e72e2b7, 0x0aa7fd6f, 0x7d94a2a6, 0x22ec2806, 0x169261d3, 0x1226903d, 0x83b7d72b, 0x114b476c,
+    0x048e96b0, 0x242b07a5, 0xdea4812f, 0x4ba11910, 0x35b6633b, 0x29753e15, 0x86b8a561, 0x8dd7f897,
+    0x129ac4ba, 0xf08d5168, 0xd972336b, 0x41958699, 0x49105517, 0xbe1034a2, 0x1f437645, 0xdc7e93c1,
+    0xf2501412, 0xdbe1b3eb, 0xddd6506d, 0x3e2da968, 0x6b8c83a3, 0x468a9d66, 0xe199acc3, 0xd81d6bf3,
+    0xc3674753, 0xef7db19f, 0x98f57d03, 0x8bc799bc, 0xe4b8514e, 0x34b37893, 0x3ce5f169, 0x4812e85e,
+    0x0d058246, 0x86d24567, 0x0aa0262b, 0x5a380ec0, 0xc25049db, 0xaafe643b, 0x60aadad9, 0x2eef2aa8,
+    0x3adcd56b, 0x341a85f6, 0xe597bb73, 0xb7a0449c, 0x16243324, 0x788b8be8, 0x7bcb32f1, 0xf4616492,
+    0xc7f7623e, 0x8c3c9446, 0x5f10319a, 0xb29386d5, 0x15ea7407, 0x19022714, 0x7313c4d4, 0xf3ca222f,
+    0x9a1ccd4e, 0x90d6e482, 0xeca66f8e, 0xdf6f0c8b, 0xf71b3d34, 0xbe567c2b, 0x58fe34c6, 0xa800d787,
+    0x450bfc7e, 0xb4141117, 0x1fc2c7b6, 0x160e694a, 0x7c708369, 0xb552cf0a, 0x7e83e5b4, 0xe7e49959,
+    0x4b72f2f4, 0x74f2bfb3, 0xbf4f768d, 0x2ba46f4b, 0x40a5c4be, 0xb8c8234c, 0xbc13f905, 0x24479948,
+    0x3b249f42, 0x07f1ae35, 0x8d25d8bb, 0xe2ce7c91, 0x73322310, 0x9b5a189f, 0x4c9d6fd7, 0xd1d88897,
+    0x05e2e190, 0xc9fcc35f, 0xf9759e53, 0x81c03032, 0x9bc871f2, 0x46fad7c0, 0xab44a83f, 0x38b188bd,
+    0x3d24bb14, 0xe2c61928, 0x8a094319, 0xba2f14a6, 0x89b54d78, 0x50c7565f, 0xe0c80886, 0x2d8bcc9e,
+    0x8af1502a, 0xc281178c, 0x0052de44, 0xb1432a8c, 0xf1011af5, 0xec33aa86, 0xf0152b46, 0x5a026c02,
+    0x55b2124a, 0xadd43a67, 0xd609642a, 0x4b7d4e04, 0x091a0681, 0xc7660e01, 0x1ba8dd21, 0xf645c8e3,
+    0x7c25ecb2, 0x8c5984f0, 0x371e4292, 0x23f3a776, 0x1f4a28d7, 0xb8f5e452, 0xc6046f21, 0xad852ac5,
+    0xc5e493fd, 0xec7dbaf3, 0x419cf980, 0xf7eaaa83, 0x45fdfb05, 0x732d7c47, 0x6e434458, 0x97706672,
+    0x1b34b9aa, 0x2c19f814, 0x9661400d, 0x4f703fa9, 0x914b0c18, 0xcfac22d2, 0x42206bef, 0x1c17e9f4,
+    0x03097370, 0x0bb8c248, 0xa06dc000, 0x78c3e220, 0xb5abfb9c, 0x97ea2ab0, 0x7d5df6ae, 0xa6991d32,
+    0xa6d9021b, 0x9836545e, 0x4539f2c9, 0xd68f59f5, 0xe7091493, 0xa4331200, 0xdd05103b, 0x1052388b,
+    0x734b4785, 0xa930d514, 0x9caecee2, 0xd32ad518, 0x9c349766, 0x44e142bc, 0x7421218f, 0x79c1c7c9,
+    0xb9a23177, 0x413a83cd, 0xfc6fba33, 0x36a00f02, 0x378a0551, 0x4fecaaf3, 0x6ca9327b, 0xdc9e0450,
+    0xde399b57, 0xcd75b5e6, 0x9dbd5f2f, 0x8d81e7c7, 0xd6fd5a5d, 0x16067d9c, 0x22c7bb34, 0x14c166e9,
+    0x3dfdd2fb, 0x8236ae7d, 0x0a6c3a6e, 0x4afbd7bd, 0x8eda6218, 0x84770f0e, 0x3ec1841d, 0xcf3e11da,
+    0x31edcf92, 0x6e074aba, 0x8a1c0735, 0xada8de26, 0xb0967b96, 0xfe880eb1, 0x9b0114e2, 0xbd2e4c9b,
+    0x9eab261c, 0xced84d4b, 0x67917d49, 0x0627f224, 0xbbbe46fc, 0xe834040b, 0xf6412de7, 0xa88f8a4e,
+    0xeb7d18b5, 0x43ff4232, 0x79378a9d, 0xadb7d193, 0xde30b14b, 0x80d63874, 0xc7b67e55, 0xb4e1a6fa,
+    0xa95e58da, 0x9fbe4c37, 0xf75e1e47, 0xc621ad58, 0x3f22aab9, 0x7bf6d34b, 0x368549e0, 0x0383ecbc,
+    0x8bc9b06c, 0xf103d6cc, 0x3f7c77e5, 0xd6215620, 0xb1c61a07, 0xb7557230, 0xa1206de0, 0xeda1c563,
+    0xaf9092d9, 0x3870e3d9, 0xa9113468, 0x73ac6869, 0x2e53e881, 0x709ec8fd, 0xf71579f3, 0x04dc4d73,
+    0xd1cc0e6d, 0x21e07ac5, 0xafe15ed9, 0x1a59b528, 0x58785e67, 0x5b412559, 0x2a4b86f6, 0x234d0769,
+    0x6ce39ce4, 0xd0e6983d, 0xe0ba0658, 0x6c40eed7, 0xeeac19ef, 0x084dfb9a, 0x9748468f, 0xb65b23c6,
+    0xa3d711a9, 0xa4bb951b, 0x62af240a, 0xebe62d6f, 0x0f9f9088, 0x7dafeebc, 0xe4f28bbd, 0x6ceb48ec,
+    0xa50bef6d, 0x147041ad, 0xa271e147, 0xab7fd0aa, 0x656e8e3d, 0xab0063ba, 0x312f0136, 0x1c5b4c4a,
+    0x3a380e3a, 0x5cf6364b, 0x457b4edf, 0x61ec5f59, 0x03737235, 0x2332f6fc, 0xa189ff17, 0x7756b303,
+    0xf6c009c3, 0x40bfad5a, 0xa71ff496, 0xa381517f, 0x389e3cf5, 0x5578d075, 0x31628e99, 0xf2d6c41a,
+    0x5b2617b0, 0x6d87bf22, 0xb9b77854, 0xb7da89f2, 0x71ef2707, 0x6a006c88, 0x33c09d07, 0xf1559c6b,
+    0xdf57e124, 0x9e10239a, 0x46a93cfe, 0x8fb0c98e, 0xa578aafc, 0xf8441360, 0x469d7c1e, 0xe7ee6da3,
+    0xf8b976be, 0x10bf5f07, 0x4f64a6b9, 0xc135acc7, 0x4c8a70d7, 0x4d019b44, 0x59601a79, 0x7bf79062,
+    0x53fe8a76, 0x978dfe2b, 0xe7351855, 0xc7cf44c3, 0xb40ebd1c, 0x1bf62e1c, 0x9a74a2aa, 0x2353d7b0,
+    0xffe91b2f, 0x324d4b44, 0x5afd3d2b, 0x6cb4c1ba, 0x22b60009, 0x3904399f, 0x31286d42, 0x995e0cae,
+    0xf1183674, 0xb71c010e, 0x3248c2d0, 0x865bda61, 0x89a41814, 0x259b4925, 0xefbe5f3b, 0x560b5c31,
+    0xc03cbc8a, 0x1c2f085c, 0x2e240d05, 0x344e0cc6, 0x856b9ff4, 0xd3c93aad, 0x3afad9a3, 0x9b4de993,
+    0x41c0b225, 0x1896bf46, 0x03c1d31b, 0x531ffa73, 0x0dffbcba, 0xaa5a688f, 0x03be99a0, 0xb9e264a9,
+    0x50bab976, 0x6e6d6951, 0x09fb4a96, 0x7e93bf41, 0xe36cf10f, 0xaa38c8c1, 0xf45b2e66, 0xb58659e5,
+    0x30039f14, 0xde102540, 0xe31ed6ec, 0xe5f9eac2, 0xc13b2201, 0xec4af5eb, 0x815bf26e, 0x0c04e564,
+    0x4b09d808, 0x714a27e2, 0x0b5cb0ac, 0x63c72b46, 0xa71bde64, 0xe209a833, 0x9bb26f93, 0xeb7287eb,
+    0x37d090cf, 0x2b8406bf, 0x7177202a, 0x3642b5b9, 0x95a24626, 0x2429c4c6, 0x0b12db61, 0x16d9138a,
+    0x0204c7c0, 0xd2dfc77e, 0xce6a043f, 0x43232c25, 0xa0427ffd, 0x34bd3c9e, 0x30813e2c, 0x889de774,
+    0xabbf9d5c, 0xdb03393b, 0xf24954cf, 0x77334aa9, 0xbe654174, 0x178112f8, 0x5d72aba9, 0xcdfcd5fc,
+    0x476be49f, 0xca976a32, 0x40cfef86, 0x723d0f9f, 0x6689b6c8, 0x38416acb, 0x93719f76, 0xdde63fd3,
+    0x9324021e, 0x929a0c9d, 0x9d6b0699, 0x7ca662c0, 0x2fc3676e, 0xcf17d331, 0xbefb22bf, 0x286cf7ef,
+    0xfd10667e, 0xd12d1ddc, 0x96e9fd3f, 0x9f8dd758, 0xb9ddb59c, 0x5a79169e, 0x866a7863, 0x0d3b339a,
+    0xfacb4c8d, 0x402ea505, 0x5152768c, 0x918c58e2, 0xed6635d2, 0xf480e076, 0xcd53d081, 0x59c42c8e,
+    0xf0b69784, 0x43c6f13e, 0x4210cb1b, 0x9ae249cc, 0x68d67768, 0x5b1ab346, 0x882e96f6, 0xc668eeca,
+    0x1fba5a06, 0x002c0b30, 0x3177d844, 0xb96a0a8a, 0xa0c914fd, 0xc8dbc553, 0x75e66476, 0xa3fb6e5c,
+    0xfa929a4c, 0x8a8394f2, 0x8ccd876c, 0xb08fd954, 0xbba43b1e, 0x16e99437, 0x4b28642b, 0x5562792d,
+    0x5200df68, 0x6c12b474, 0x6ce9fb0c, 0xa4cc8271, 0xa1926088, 0xf854aa3c, 0xd9c22c9a, 0xc85a0209,
+    0x5123c453, 0xeafda002, 0x9b2c3aab, 0xe3d856f8, 0x13901d74, 0x764d70e6, 0x0090e1d3, 0xa8fbf8d2,
+    0xbaaa8056, 0xc7fe5a94, 0xdcf04add, 0x4aefe87f, 0x8024d891, 0xbfdcea53, 0x112d4c83, 0x3c5c12ca,
+    0x33f5488c, 0x8b7f2b12, 0x1730ca51, 0x0f12d4e1, 0x2383c123, 0xebc77193, 0xe5f6867a, 0xdd35906a,
+    0x309d06a8, 0x5a9f0bff, 0x97ece6fb, 0x72db19c3, 0xcf738c80, 0x1e4269eb, 0x48cd830b, 0x47bcde4c,
+    0xfd8ed21f, 0x473bc505, 0x21708972, 0xad1f2bd1, 0x2aed75b8, 0xb8b64895, 0xafd1fe99, 0xf66d8be8,
+    0xee938929, 0xa9f1fecf, 0x9d9cda48, 0x29e10747, 0x7af697d3, 0xb49a35fc, 0x7edce86a, 0x3e061657,
+    0xe4ea4a78, 0x0f51f818, 0x3553afb6, 0xf181a848, 0x7f367d14, 0xe87f8525, 0x0a7dabd7, 0xa45bb06d,
+    0x34b81c65, 0x453bbc57, 0xbce6475b, 0x023e3513, 0x88773f9c, 0x4520bd86, 0x7f7a163c, 0x9707ae7f,
+    0xc967d645, 0x29f2fc4d, 0x7356659a, 0xe2312457, 0x5c364ad2, 0x349aa028, 0x4366bc45, 0x7ef06019,
+    0xf14e9adb, 0x54c49e5d, 0x8e2e639c, 0x7abfb5b8, 0xa157f33d, 0x14046f6d, 0x787fc871, 0x17b7e543,
+    0xd4c91d4b, 0xc051c1bf, 0x17272a2b, 0x121a3381, 0xfb891305, 0x975b79ff, 0x1f035168, 0x501a0e5b,
+    0xeed82fad, 0x957bf7ea, 0xa498b79c, 0xbc04e004, 0x5def31ae, 0x8853c7e2, 0x5c345052, 0x93d541b3,
+    0x9f221d84, 0xc59ec177, 0xcd7af0b2, 0xc2b19963, 0x236da48e, 0xab787597, 0x3bfb1f32, 0x211442fa,
+    0x06295ce3, 0x66b9b6e9, 0xc9915514, 0x795aa5dc, 0x3581cacc, 0x171f9903, 0xb78415c3, 0xfa9a526d,
+    0x68e4f7c4, 0x9f0aa8cd, 0xe3d0eabd, 0xc92d10ab, 0xbe8127ee, 0xe2ede26e, 0xf4867152, 0x4867661e,
+    0x9ad13250, 0x75933b9f, 0x71f430cd, 0x124ef539, 0xa607e6d3, 0xa05c8ad9, 0x77391c39, 0xb679d2e4,
+    0x446b8d6a, 0x26461270, 0xd7163567, 0xf3954107, 0xd76bc62f, 0x594a185d, 0x961b7463, 0x09684ad4,
+    0x8776a53a, 0x8f1cc2fc, 0xf39978be, 0x32b79b1d, 0x25fc4bd8, 0x9d37b12e, 0x084d70ba, 0xba9259a4,
+    0x0a93acaf, 0xa7bd3b7b, 0x8c979c8b, 0x16478e3f, 0x73aa225c, 0xb1b3de2b, 0x7aa330bd, 0xa0084236,
+    0x2c3fb5bb, 0x56c38e01, 0x3f9f7b9b, 0x63770bbb, 0x1c205e1b, 0x0fb311e6, 0x0b380b39, 0xc02af743,
+    0x8383bc94, 0x81c30794, 0x24bd48a1, 0x003995ca, 0x341c4ffc, 0x96de0198, 0xdc63fabc, 0xd99b3bcb,
+    0x4976ea66, 0x665c9972, 0x3b677e00, 0xa802c775, 0x2eaa16dc, 0x809180a0, 0x92144680, 0x20f6be8f,
+    0x1abdd9f4, 0x23dac89e, 0x2e5077e1, 0xf9ba3747, 0xe2dabb84, 0x2a46ec2e, 0xf212394d, 0x8e1f48b4,
+    0xe405ce16, 0x7eace8c0, 0x1eb4cd0f, 0xc33df533, 0x29de6623, 0x54625d9c, 0xfd749d0f, 0x5d81ce8c,
+    0x8141c824, 0xb8308f27, 0xcfadc1e4, 0xdaacf1b9, 0xe30df7bb, 0x460c5fa0, 0x77da98dd, 0x232d1fa4,
+    0x47a05bd4, 0x7e55e2f7, 0x1c4a8a39, 0xa2fad95d, 0xc5bee4a8, 0x4e429698, 0xed5d0660, 0x2d8a9c8a,
+    0xeba206e1, 0x518ee59e, 0x7f4de609, 0xc219f8b2, 0xcfd80a66, 0x4ab4b6a2, 0x517e3d28, 0x48ba2a7c,
+    0x719cac47, 0xd6664f9f, 0xbcd1373e, 0xbb1a6c4b, 0x4aa2dfcd, 0x0e0f6094, 0x208895f3, 0x4a2d73d9,
+    0x72e7fa66, 0xb515f383, 0xc407407c, 0x11f6e272, 0x0bfffc34, 0x1c33270c, 0x812ea504, 0x1d50d9e1,
+    0xeb8349d2, 0x58d43058, 0x922c0586, 0xa322460f, 0xf6ae3943, 0xc4398ee0, 0xf2787513, 0x282b5082,
+    0x9c4dbc16, 0x014a6e43, 0x42ef2f67, 0x1c31520a, 0xbb7f516e, 0xc6fb944d, 0xe1d318f1, 0x095ef025,
+    0x2734dd8f, 0xa93baebd, 0x97fc2aa3, 0x646eb4bc, 0x7a790c95, 0x8670e6c5, 0x7693607f, 0xb8201114,
+    0x4668323f, 0x9b724c8c, 0x65dd32ea, 0xdef63cb9, 0x7f446f40, 0xa01f3b44, 0xeeb8d6f1, 0xd85e3d92,
+    0x3b9f5391, 0x9b895c44, 0x1248e02d, 0xc688cf20, 0x66ffa359, 0x4a5f8840, 0x7ee91daf, 0xb1f35764,
+    0x73b38102, 0x16936598, 0x8cfcc83f, 0xe191d101, 0x900f92ee, 0x16083171, 0x22dddb8c, 0x03ca54a7,
+    0x424f22fa, 0xbca99986, 0x76c5619e, 0x91f2e186, 0xcc5a6a1e, 0x2c9d3251, 0x7cf3fcab, 0x7f307700,
+    0xfddb4fa8, 0x36ec9876, 0x627b965e, 0xa0c647f3, 0xe0fe3c4c, 0xf304dd2f, 0xbcd3cc82, 0x88be831f,
+    0x1f6f013a, 0x791ee176, 0x9c41f542, 0x51469e58, 0xc2376357, 0x7f7b0856, 0x7bd05f85, 0xba68b4d9,
+    0x6d1ad7c2, 0x6c8f31b3, 0x0b218638, 0x79db1ddb, 0x2bde249e, 0x669089ac, 0x4084a290, 0xfe5f3ed8,
+    0x62ef1031, 0xd5949e52, 0xc6294d76, 0xee50c6ef, 0x0307cf1e, 0xd8f22af9, 0x41dbfcc4, 0xfc0cc306,
+    0x4ef29703, 0x3fa92427, 0x7bee0534, 0x003ce923, 0xd16f37f0, 0x80e542a9, 0x52d6789b, 0xbeb96fe2,
+    0x00000000,
+    0x59281258, 0xdb6a0480, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000042535295865117307932921825928971026432 */
+  { 0x00000000,
+    0xe9d81e37, 0xdd5db153, 0x624b7f78, 0xa8a7dea0, 0x60d1391f, 0xbe8c1310, 0xbe5a7d3e, 0x0291493c,
+    0x30c14b6a, 0xd3b7c46d, 0xf9b5b451, 0xebc20407, 0xdfd9f6c2, 0xc4f52974, 0x6307e6bf, 0x2ae71c7d,
+    0x975b2db7, 0x9963e6a8, 0x5fe9bbec, 0xc2195c1a, 0x0c45b4f9, 0x2bc0e469, 0xa6c9abcb, 0xe293fbd6,
+    0xcd166ca8, 0x327a973c, 0xb1c685a0, 0x0901c817, 0x1d3e6337, 0x3f95d437, 0xda98120b, 0x713c9a0b,
+    0x666ba7fb, 0x5e3423e5, 0xd97a96da, 0xead8d767, 0x13145e2d, 0xd089118e, 0xe3b9d7eb, 0x1a588543,
+    0xbfc302c0, 0x73ca201b, 0x46cea1a5, 0x9fe9f723, 0x1a2e2b45, 0x0e2e2769, 0x307a2a3e, 0x5b7b939b,
+    0x63d963bf, 0x5b367c0a, 0x1c480c48, 0x246fae0b, 0xfcd2b9db, 0x4a2e9e6c, 0xafab3fb3, 0x40641b3e,
+    0x34e99d71, 0xb04f4060, 0x3b39aab6, 0xc75f14e1, 0x090388fc, 0xde223798, 0x34e54e7b, 0x2af3aeab,
+    0x06762fa2, 0x95131939, 0x1b2588a3, 0xa28f7f75, 0x75cd4952, 0x57b6faaf, 0xf3892328, 0x37d99d0b,
+    0x84a46cf4, 0x3d7ec1b4, 0x822b5cb3, 0xff6a3199, 0x7a62a7ec, 0x4914a62a, 0x4a9f735c, 0xa0acff5e,
+    0x2749368e, 0x591a9b8d, 0xc1d79222, 0xd5acdbfc, 0xf614c578, 0xa5f1650b, 0x82cd96d4, 0x42729122,
+    0x8352ce1c, 0x2a73ee5b, 0x6cb5ed23, 0xf4b0ff9e, 0x3e157913, 0x1d18bc50, 0x4dc527c8, 0x74494e9f,
+    0x643a5cd6, 0xf5d9d1f9, 0x557cc95a, 0xfbda8cca, 0xeb3a455d, 0x2481ea40, 0x05b79b47, 0x25a29037,
+    0xce52f3e6, 0x9501c122, 0xa87409a8, 0x0c5b850a, 0xed095324, 0x74ed54af, 0x2e8f9f2a, 0xfea18413,
+    0xd5c90cfb, 0x651b4f35, 0xebb356fc, 0xc228368d, 0xb0a821dd, 0x0438192a, 0xfa3c31ac, 0x19fd414b,
+    0xf032dc9d, 0x02625401, 0x07428477, 0x81960142, 0xe9f0965d, 0xb38f7797, 0xfbd959b9, 0xe7860554,
+    0x41ddf619, 0x740df0f0, 0x268e863d, 0x4e2ba741, 0xc35772f4, 0xb1ee0675, 0x902497f4, 0x14f1f5fe,
+    0x1d49d5ba, 0x7f79a9ad, 0x2d21af96, 0x7cd6efc4, 0xb0dfb792, 0x2eb9e91c, 0x97376123, 0xde218c82,
+    0x356703cf, 0x139e5427, 0x0335edba, 0xb50f70d2, 0x8682325d, 0xc24b2b12, 0xd7497ca3, 0x61b3bd7f,
+    0xe06a43b1, 0x1b03fb96, 0xf60cae5a, 0xae395449, 0x932ee09e, 0xd648f269, 0x36f93f04, 0x48c5669d,
+    0x2fa81263, 0x1cb261e2, 0xf8c5580a, 0x6fef5486, 0xfa266c63, 0xc0c3dd9a, 0x128ee8e4, 0xe2d6594e,
+    0x0e2fc31b, 0x0c225249, 0x7aff22e5, 0x38086735, 0x66cd6106, 0xfd6f1c95, 0x37389fd9, 0xe4aeb5c3,
+    0xb32ac004, 0x1495eb85, 0xdcdcccf6, 0xb5ce12fc, 0x59a69ac9, 0xe3667e9d, 0xd5d567e8, 0xf4e0ee72,
+    0xa4e56334, 0xe5bf7b97, 0x748a25be, 0x5d5fff9b, 0xd2e69953, 0xc13d0981, 0xb1a8272c, 0xb8c22aa4,
+    0x97d0cc4b, 0x2004b0f2, 0x67c291b3, 0xad2fc919, 0xe11fd4e1, 0xedf91bb3, 0x63f56e6c, 0xeea6c486,
+    0x602efbde, 0x56eb3f53, 0xe9847b29, 0x04adfd58, 0x4746dd3a, 0xf3778d81, 0x70ab25b6, 0xe5077fff,
+    0x9ab6cf94, 0x255ee86b, 0xb1d5dc5c, 0x04525009, 0xd0c52f35, 0x1185b97f, 0xf89e98e1, 0x4911ff5f,
+    0x0a91ec1e, 0xe16eff18, 0x4a3f79ef, 0xd807e89d, 0xabc0ed0e, 0x84260db8, 0x71ec189c, 0xbc4edf83,
+    0xee1973dd, 0x5ce8ee44, 0x421f9608, 0x475441c3, 0x96d8bf70, 0x1802812a, 0x68a100d5, 0x9c2a2641,
+    0x518a8881, 0x3354394f, 0x8ab5897d, 0xb3e04fa9, 0xb74743b5, 0x2b6aee20, 0x479f5e71, 0xe313405e,
+    0x4798ca4b, 0x782bd71b, 0xb72f6148, 0x8563d4c3, 0xa2b64d6a, 0xdf4fb116, 0xb7d4b8c4, 0x0ae4ccce,
+    0x6c400592, 0xcb9c127f, 0x0e7f3a71, 0xe9d687fd, 0xc6c9669e, 0xcf20635f, 0xb88fa304, 0xaa17080a,
+    0xc53dbf8d, 0xb43be8ce, 0xae750fd2, 0x34c3bcc0, 0xcbd8617d, 0xd666593d, 0x1fb3cef8, 0x94052823,
+    0xb22e4463, 0x93379293, 0x10bda996, 0x01d17baa, 0x48c31f8e, 0xfc375f24, 0xdd6a5f05, 0x61cb4680,
+    0x23541971, 0x4f5a3493, 0xadbc9801, 0x6b62446b, 0x1fc7c795, 0x8f1a633b, 0x08e4d152, 0xc0378483,
+    0x17bb6c6a, 0x7f5ffb30, 0xda48bd60, 0x8571cd59, 0x80137422, 0xc1bf1959, 0x178b4933, 0x67660737,
+    0x24d3d289, 0x6043d0b8, 0x2386ec5c, 0xf6f5b766, 0x3eec8a2f, 0x2bdbc598, 0x7365c424, 0xfaaf91a3,
+    0x25dcd4fc, 0x2cc83ebc, 0x242ad905, 0x223a7922, 0xd3127f8c, 0xb091608d, 0x027fd9ec, 0xffc752d1,
+    0x7ebb006f, 0xb62851a8, 0xdbd74e4d, 0xb40e279b, 0x5f6feaa3, 0x241d874c, 0xc0bdc7eb, 0x92fed708,
+    0x593e7e49, 0xeb7f5e66, 0x04608478, 0x6da8bbff, 0xb0b98e02, 0x9e5a693e, 0x12db007b, 0xefdeb4dc,
+    0x5b9f0851, 0x9afa36b8, 0x47a0be09, 0x7a685e62, 0xb00c8421, 0x5fa382b9, 0xcad38d1e, 0x28deb970,
+    0xb20b24ca, 0xc5069b55, 0x55af98d4, 0xf06ba7ea, 0xa73124f8, 0x6197130f, 0x19ef3e2e, 0x25cef0b0,
+    0x47482c48, 0x091cb421, 0x886bb7c9, 0x9cbd8c84, 0x2b864cd9, 0xd15da96d, 0xb8f5bd9e, 0x7eb86da3,
+    0x3984a77a, 0x323c4fbd, 0x5ea057b8, 0xeb5df9cb, 0x69dc4c19, 0x056c2587, 0x2aa594e4, 0xe5c8f047,
+    0xdf61497d, 0xab9aa601, 0x55435ace, 0xe502e1a3, 0x3e880395, 0x06320fa9, 0x8ec5cf07, 0xd3639fde,
+    0x46fe90ac, 0x2cc66134, 0x0de3d8c4, 0x9eef8163, 0xd1abd0cb, 0x39046d29, 0xe9e084de, 0xe19e2f49,
+    0x1cecb480, 0xf2263ef2, 0x69fb324c, 0xeda11173, 0x483692ba, 0x19a6108b, 0xf786ae30, 0x6bf23ef6,
+    0xe7745419, 0x355a5c5c, 0x841d3efd, 0x60a3caef, 0xc460dd6a, 0xb5869095, 0x28f3a9b1, 0xdac35ca6,
+    0x8d28b6f6, 0x4757e356, 0x94579340, 0x0ec29c9d, 0x567f46bc, 0x0f9a78e4, 0xf5757015, 0x1810d171,
+    0x27472ebb, 0x5a3c579f, 0x721d12c6, 0xe404aa39, 0x7334eb8c, 0xb94a0eff, 0x688d7dcd, 0x48621235,
+    0xd3d2ab78, 0xf79bacf8, 0xa12b5f89, 0xb2b3f730, 0x3f20c8db, 0xbd1bb99b, 0xd608f416, 0x61701b7c,
+    0xa0ab4654, 0x4ac89b4a, 0xb85fd90c, 0x11da2d00, 0xe95e0a1b, 0x81021380, 0xa02f0534, 0x60b17351,
+    0x5e7355ac, 0xdfd370eb, 0xedda8809, 0x92246310, 0x67ab7ce3, 0xb3c6d7a4, 0x511d5a8f, 0xac9c78fb,
+    0xfd189c2d, 0xe507c55f, 0x8efa027b, 0xf993e43a, 0x6ee4fc64, 0xfa645d32, 0x621299a8, 0x031b3c7c,
+    0xd0be3916, 0xb06899de, 0xea7ccf98, 0x253292d1, 0x2c720f4e, 0xf100f5ee, 0x408ea8e4, 0xe48a49fa,
+    0x6d739aed, 0xaf39967c, 0x60d35e27, 0xdaf7d476, 0x21ecec42, 0x0d06a6b7, 0x04bdd850, 0x4f912e50,
+    0xef500937, 0xb275f654, 0x356ab320, 0xddfe4ee7, 0xd6616553, 0xe6acb3cf, 0xece12189, 0xafc3d118,
+    0x8d2e34ae, 0xdde64ddf, 0x94085f7a, 0x60176e3d, 0x1d51a986, 0x6137334c, 0xd3406300, 0xf42a477c,
+    0x3bbeee26, 0x01f2f2b3, 0x3d368970, 0xec8d2765, 0xf4d204ed, 0xb26e5262, 0x9f2468c6, 0x0d1fe890,
+    0xb723c3b2, 0x5bf96263, 0x165085b6, 0x01b571f7, 0xe24260d8, 0xde53f8ac, 0x4cd09dc5, 0x11558b52,
+    0x1e1fc167, 0x5ae841b0, 0xc86fc607, 0x0037b458, 0x26f9e214, 0x46e3aad7, 0xf03b5c4e, 0xb16b9a77,
+    0x45ccc875, 0x027ceced, 0x430b9be9, 0x4b1e4804, 0xe2084af2, 0x7b108661, 0x9d62979b, 0x1a53bbcf,
+    0xc7c18a76, 0x50a7c7d7, 0x8ebd6ed8, 0x8357462d, 0x11e58af5, 0x8b68b13f, 0x72b00ba5, 0x5e01cc8a,
+    0x0e801247, 0xce75836c, 0x5e40476a, 0xd27edb50, 0x16a160ef, 0x2b6ea33c, 0x3f6cd4aa, 0x20b0f3e7,
+    0x811457a2, 0xfb17472e, 0x0fcc5239, 0x388380ba, 0x3333fdb6, 0xabe83db5, 0xc9cb0c1c, 0x06333234,
+    0xf6f554bf, 0x1e995e5c, 0x4db99e86, 0x258b94f5, 0x7ddb5ed2, 0x6bbf5906, 0xe8d811e6, 0x1fcdbb2f,
+    0x8b4fd7a9, 0xc9ffe51f, 0x98d143d8, 0x1a10a44d, 0x2b56a0b2, 0xe46af292, 0xdd335c48, 0xe9fcf7fe,
+    0x83fc0ddf, 0xe237d384, 0xae219c39, 0xd0c89830, 0x4a90fc7c, 0xd5f9cc5f, 0x31057a4a, 0xea84513d,
+    0xe93abb2c, 0x00530c04, 0x9be2c790, 0xf3641b7c, 0xced12e79, 0x024e859d, 0x5914a75e, 0xdd13c175,
+    0xb2401d49, 0xa83bd859, 0x92f49e55, 0x01e5fc4c, 0x1b21ec49, 0x3f093517, 0x7bd7d649, 0xa5295064,
+    0x2c1b10bf, 0x2bafe243, 0xba509e88, 0x7e29d870, 0x53b1098b, 0x6141f971, 0x934d7a8d, 0x8f265825,
+    0x2bc9cd48, 0x2c52390f, 0x0e928a92, 0xdfc3d59a, 0x75dfbad7, 0xa40ecb25, 0x3d765e12, 0x72efc734,
+    0xab771885, 0xbf826363, 0xc7ab9620, 0x49de38db, 0xab77636b, 0x9ae38570, 0x2f254ccf, 0xa61fc3d0,
+    0xaf2c7f98, 0xbff718ca, 0xd7452877, 0xdde0a0aa, 0x792386c4, 0x3d66dd44, 0xb14aeef0, 0x34c3f74e,
+    0xaaab6b72, 0xae5e4b9b, 0x8e138951, 0x841b7af7, 0xdcc4911d, 0x2780258b, 0xe82566a5, 0xaa939e5a,
+    0xb2bb85e5, 0x6108f4ca, 0xfe9d474b, 0x41ed94bd, 0x237139b7, 0xb8e265ea, 0x02f45516, 0xcc97a9db,
+    0x9b880b44, 0x7ecad8c6, 0x8afec323, 0x636782cd, 0xd854bb2b, 0x8ce42442, 0x0801945a, 0xe5626158,
+    0xa5f5d152, 0x66ab896d, 0x6ec3652b, 0x96e44d7c, 0x41036a96, 0x72098923, 0x29f57a58, 0x70e8349f,
+    0x51b5bfa5, 0x67a1b544, 0x049bd19f, 0xe55b34b7, 0x8af3fd9e, 0x0fe4514c, 0x3a8a7e52, 0x57fbe5ae,
+    0x1fae9816, 0xbff46d75, 0xf8d1ecfa, 0x3876eebf, 0x1c43f466, 0xdab2541d, 0x14cf4d46, 0x3b2151fb,
+    0x373dd175, 0xe5054acc, 0x1325ae8c, 0x876b644f, 0x024dcb3a, 0xb10b0b56, 0xde11a311, 0x8df80e6d,
+    0x9e5f5883, 0x7828678d, 0x556738e0, 0x5574f981, 0xa25c12f0, 0x6f46e900, 0xf6e43312, 0x2dc87b95,
+    0x40c6b8b2, 0x02da9fd2, 0xd066fac5, 0xc113798f, 0xbf806060, 0x76281a0e, 0xeb307d7e, 0x38696af2,
+    0x2105e207, 0x4662db79, 0x10d4e481, 0x9a860c8e, 0x915826ca, 0x0df10483, 0xe9fe01d3, 0xe0d24534,
+    0x91d5d393, 0x504553b2, 0x6595f807, 0x20b764a5, 0x9dee95f7, 0x73ac1116, 0x89c3fe9d, 0x3fdd535f,
+    0x9679eb52, 0x20677d5a, 0x3c90ffbc, 0xe698bb91, 0x7990ff2c, 0xe8062b38, 0xc785758d, 0xe0077554,
+    0xd8af24f7, 0xc1a4675c, 0x7292982c, 0xbaa21d0b, 0x35161ea2, 0x141aec9c, 0x3faef8d0, 0xc3f787a0,
+    0x0e56761d, 0xe5263c60, 0xbda397d0, 0x6dc5f599, 0xd5ad39e0, 0x9ea7f9ae, 0x5cb23816, 0x9dbbf72a,
+    0xbb4e7e7c, 0xc0ee057c, 0x6b687f15, 0x5e96b27d, 0x75c2fd8d, 0x0f5a2f70, 0x5c369937, 0xdfeabd97,
+    0xa2078624, 0x506e878c, 0x14b337a3, 0xba26cae0, 0xe77be731, 0x4e21926f, 0xf6e3666d, 0xcc5e557c,
+    0x438144ae, 0x9c2480d8, 0x8d29bac2, 0xe2a8b622, 0x0c8eb16d, 0x780e5b6d, 0xd895fef9, 0x02eeff16,
+    0x5438c4c9, 0x8c4c2c1b, 0x3288fb02, 0x7654b60d, 0xc1e72b60, 0x0e1fa8f7, 0x2451a374, 0x68104d04,
+    0x0d44d91e, 0x93c52418, 0x01f7c6ce, 0xead1b477, 0x4333d220, 0xf82f137e, 0x2fbfb9f9, 0xa57b177e,
+    0x91ca021d, 0xd6a38cf9, 0xe6adef2e, 0x743e4e8d, 0xb0e671cd, 0x949e690d, 0x3b896146, 0xa93491dd,
+    0xc67577e9, 0xc986c686, 0x8754c5fd, 0x798ab73e, 0x28aaa752, 0xe388c185, 0xc86c6376, 0x9a46b871,
+    0xfff6b0a8, 0x83c3396b, 0x15eb919c, 0xafe858c2, 0x860362bd, 0x49f6fa5f, 0xd5d30d7c, 0xda3b966e,
+    0xe8e8b2d4, 0x84b8a9bd, 0x8fa02c55, 0xc0e280a6, 0xaeaaa581, 0xac1ea32c, 0xb376a74b, 0xc6ebd7c4,
+    0xc16899ae, 0x3272c703, 0xf83b683a, 0x61fba8f0, 0xceca9d25, 0x3b8f0f35, 0x28a65a29, 0xb907e230,
+    0x56954825, 0xa697b54e, 0x1fa9fb0a, 0x116a77c0, 0x28457469, 0xb8192c65, 0x44a65f43, 0x2d0017ae,
+    0xeba86a68, 0xe9cec09b, 0x1ac93861, 0x04c40043, 0xcca343ea, 0xf1190eee, 0xada89577, 0x8c3b1084,
+    0x2338a8b6, 0x1b6b56dd, 0xfa596805, 0xaa6704ec, 0xdb3ca283, 0xc8aff53d, 0x79f100fa, 0xb596dd61,
+    0x476c0063, 0xb2970d51, 0x2267a24f, 0xf2f65a54, 0x8f8f31e6, 0xfaadcc4f, 0xf0d1a23d, 0x8fdf8d9e,
+    0xbcf91916, 0x072fae72, 0x93c42fed, 0x426e59a2, 0x5d978d62, 0x408ed793, 0x5d8073d9, 0x842b929c,
+    0xb873ee2c, 0xf71198d3, 0x6a820479, 0x7da6dd95, 0x1518c082, 0x4a4c9fa2, 0xdd8d2009, 0x1369e57d,
+    0x4c106888, 0x27252804, 0xfb9ca9b0, 0x22627e1c, 0x8254852a, 0x23a65685, 0xf185cd54, 0xc904b361,
+    0x1ef6448c, 0x02c21ea7, 0xaf790aeb, 0x17cd4c72, 0x3efd2713, 0xa59b153d, 0xbf559b16, 0xe9cbbd2a,
+    0x4458a95c, 0xb3ba8422, 0xa5b2e974, 0x3e5bf375, 0x2b50d5bd, 0x913ca481, 0x3f162225, 0x49535e81,
+    0x1470c74f, 0x52ff79aa, 0x247c6089, 0xe5fefbac, 0x1078aed4, 0x0e335fec, 0x2ab58e15, 0xbc11a578,
+    0xa4375ed7, 0xd2516d24, 0xd3e7b391, 0xa7ae6b8d, 0xbec3a005, 0x3b26c61d, 0xb33b5abd, 0x2620e5a0,
+    0xe652135e, 0xc6868539, 0x28eb5a04, 0x513dd0ce, 0xe26b82b0, 0xdc406e61, 0xa443e56f, 0x9228c03f,
+    0xa8d67157, 0x101d9b8b, 0xaee1ab36, 0x44a75bcb, 0x7b8436d5, 0xa028678c, 0xebf29629, 0x9be4f9bf,
+    0x950c1df7, 0xb9db0c9e, 0x50a57843, 0xa6337a7b, 0xdbdbcce4, 0xa4f9e8d7, 0x77fe8a25, 0xa8e51702,
+    0x10a3a84f, 0x7e074e66, 0x1224ac87, 0x1dc0500b, 0x44547bed, 0x03e950d4, 0xbb48a53e, 0x3692c764,
+    0x4ed26547, 0xfb8a4adc, 0x1b35c61e, 0x66c50286, 0xc1e6efc6, 0x7ec07ad9, 0x392dc84e, 0x6f5ed6d7,
+    0x1c2cbc9c, 0x89c63965, 0x9d83f0da, 0x982b310b, 0x2cfafc0e, 0x60ac6132, 0x437756b7, 0xe4a51e7c,
+    0xfbc5b873, 0x33bc9b52, 0xbccd2d18, 0x7143fb83, 0xed7606ec, 0x7404af63, 0x8c199b96, 0xb15d3179,
+    0x9b0f4689, 0xc261183c, 0xe2ec3a4e, 0x3ad5f9e0, 0xd303c54c, 0x9a02d89a, 0x18b9231e, 0xaef9e789,
+    0xa0ef784b, 0x47c59a74, 0x35efe64e, 0x8cc01393, 0xd3be6879, 0xd3cd334b, 0x9472060f, 0x8b0fbb50,
+    0x1e253efb, 0xc6dc3842, 0xe6f65d86, 0xf7030a36, 0x2d69f730, 0xa6023397, 0x41805872, 0xee0d477e,
+    0x51167bcb, 0x7af6e06c, 0x25dfd227, 0x15e33b7f, 0x1aaa5f94, 0x74802c6e, 0x3482da3f, 0x457f9248,
+    0xf63db924, 0xd543923d, 0xe5df2a23, 0x832d55d3, 0x14098585, 0x6209ecb7, 0x1ad3699f, 0xc2400eb0,
+    0xde7629de, 0xb39811cb, 0xc3ccc4c5, 0xd5228cf0, 0x8498efb2, 0x6566d229, 0x45bd72a4, 0x49aee0b2,
+    0xd1bd4db8, 0x38838999, 0xe2bb2e10, 0x3ccd966b, 0x9d1dd963, 0x248b6374, 0x6ad7d441, 0x68e63d92,
+    0x5667e9b3, 0xdefdb137, 0x84a55131, 0x972da0eb, 0xa6933f3d, 0xa179e6e1, 0x0c1c9971, 0x8cb4e7c7,
+    0x28f81272, 0xdf53b109, 0x374cfdac, 0xbd0c3680, 0xe5e8cfd6, 0x73b47ceb, 0xb70fc514, 0x10ed90ed,
+    0xe6dc6bc7, 0xf2e1a95a, 0x8392bda4, 0xb781db28, 0xff47c5ea, 0xd9d4f34b, 0x1df3a8d0, 0xdcf6fc46,
+    0x00000000,
+    0x2c94092b, 0x6db50240, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000021267647932558653966460912964485513216 */
+  { 0x00000000,
+    0x2ce905be, 0x3422b6a3, 0x2ccd8433, 0x97800f6c, 0x126c26f6, 0x887cf0a1, 0x0f2566d0, 0xd04a03db,
+    0xd72440b2, 0x978be5c0, 0x614532eb, 0x0345e1b6, 0x94b15b6f, 0x798c623e, 0x0f17d291, 0x73b9285f,
+    0xa77fd387, 0x2f52e89d, 0x05d6b01c, 0x234b3c17, 0x59f42119, 0x86ce48c0, 0x5b8d6349, 0xa11aa485,
+    0x5101c23f, 0x7ff0aa00, 0x6159de7f, 0xf576f7a4, 0x1f2cf6f4, 0x67ce1f12, 0x308e67a2, 0xc80971e6,
+    0x18605a6c, 0x1ef93880, 0xf6e27b7e, 0x9e4c589c, 0xfe74a5df, 0xd8c2cca4, 0xef19a2de, 0xff93cd27,
+    0x300a50b4, 0xa8e8572e, 0xfe703a35, 0x0023f06d, 0x769a2ebf, 0xb58c9a4c, 0xa112fcb6, 0x41cec979,
+    0x8537c340, 0x9dc6eff7, 0x10e278c2, 0x4c3984fa, 0x9adf552b, 0x34720c6a, 0x07bacbd8, 0xb7174e4d,
+    0xe74e95c9, 0x05d927a6, 0x66376c50, 0x09e73dfe, 0x1dc5989c, 0x0b4bb544, 0x9e0fe52f, 0xa712e851,
+    0xd394648c, 0x2156e974, 0x25943787, 0xe1e24e36, 0x28c5251e, 0x5268f1f8, 0xb3a991b1, 0x2dca00ac,
+    0x742ddd03, 0x85095e46, 0x0c22a5f7, 0x25fd643a, 0xae9ad007, 0x1f7b7776, 0x265e3448, 0x0b890d71,
+    0x4676e335, 0xdb0c42be, 0xaac0ab11, 0xff8b3d23, 0x98ae0533, 0x2aa98774, 0xc825803e, 0xdbc760d8,
+    0x88c55ff6, 0xf0b0abde, 0x6b9aa8ac, 0x9c6263bc, 0x14722013, 0x5ff99a80, 0xd47bf360, 0xb4cc1c14,
+    0xf47a38ae, 0x080eb810, 0xf520a0e4, 0x0ea66167, 0xe48d3471, 0xca1a2c05, 0xf4bdb626, 0x1a03bc30,
+    0x96641503, 0x3aa24550, 0x501e5011, 0x1e7baaf5, 0xdfe9388a, 0xc65a6051, 0x1143d9fb, 0x98dc03d2,
+    0x30c0a10d, 0x12c6213a, 0xe3cf9555, 0xa90cbfca, 0x981c6fc9, 0x00b4ef18, 0x8323833e, 0xc9207c6b,
+    0x8e1ac28b, 0x985ea29d, 0x98cc3b92, 0xd6d69015, 0x044083dd, 0xb043b00e, 0xde40b597, 0xf0576e64,
+    0x4ea3efbe, 0xada2744d, 0xb410523b, 0xd858d777, 0xd5dbe2cb, 0x45d29c7d, 0x88fa4808, 0xd0246f76,
+    0x2c4fab65, 0xcd60713a, 0x070ae236, 0x4b3c1412, 0x4d8eb0fa, 0x5c0ace9f, 0x446af98d, 0xab1e373a,
+    0x52c0be18, 0x358cd8ee, 0x264e845e, 0xa5566b52, 0x1a3c8937, 0xae892431, 0x9e6a1e88, 0xbba1aadc,
+    0x2ec6ad1e, 0x84b98daa, 0x8b1d7461, 0xab8f3713, 0xc30cffda, 0x162e38f7, 0x27605e56, 0x0e733d4a,
+    0xa5197149, 0x4f30e197, 0x3246b381, 0x9d734222, 0x5a7c9cbc, 0x17ec3612, 0xfcc1f0ff, 0x904d2375,
+    0xa3b6b07f, 0x51bb9099, 0xfa808c86, 0xbf2e5ec3, 0x1426f116, 0x9f605509, 0x2959aa0d, 0x18b7e6fa,
+    0x423d0031, 0xa3166c48, 0x499f50cc, 0xd81578fb, 0x8c5418dd, 0x16966ef3, 0x638cbf57, 0xec297b85,
+    0x2ac7db72, 0x3a805b7b, 0xec3aa733, 0x888584a4, 0xf202aaa2, 0x2046895e, 0x7aea9daf, 0x4ec55309,
+    0x81fa5309, 0xdf955025, 0xb4b0273d, 0x22eea36a, 0xcd9a1aeb, 0xebb5f1ed, 0x3410a964, 0xc050dff8,
+    0xe2910628, 0xd395e3d3, 0x8696145f, 0xdcf8a946, 0x92605af3, 0x5426f211, 0xb97757a4, 0x618fe621,
+    0x2d851a65, 0x3f909bd0, 0x6b45b27a, 0xd6d5a38f, 0xad11e44d, 0x937616f2, 0xd63954e1, 0x52aa358d,
+    0x948f867a, 0x06c0735d, 0xdc1231c8, 0x79d27759, 0x049f1af2, 0xc034df94, 0xe4b4c92e, 0xde85b6f5,
+    0xdf56af4d, 0x55080849, 0xaea1b14c, 0xc4540543, 0x61c44b5a, 0x207a7b85, 0x3a34358c, 0xd5f3ae59,
+    0x1d121ba9, 0x5968c8b9, 0x9d55a0e3, 0x1dfb76b3, 0x1b815a2b, 0xfb54b420, 0x048e2110, 0xb39d49c5,
+    0x65d8cbc1, 0xdf9ab7f1, 0xc6e7df71, 0x283b879f, 0x572a009b, 0xcb3db7f8, 0xa1e35022, 0xbe400355,
+    0xf3642576, 0x9e93d3de, 0x769cd905, 0x18add1e1, 0x0f702d34, 0xd6782ed7, 0x59c6f085, 0x9fbedd9b,
+    0x5176971e, 0x8a3642b6, 0xe455cbbb, 0x7cf4f4c6, 0x11909028, 0x3502eca6, 0xdbff6c56, 0x8a2ac46b,
+    0x3034e761, 0x69039aa0, 0x012a1014, 0x1449eb4f, 0x50ae36d3, 0xa0ff0779, 0x14889ca1, 0xe2255426,
+    0x416ed4a9, 0x0914baa2, 0x90f33baa, 0x061c6b60, 0xa1c5421c, 0x4287e8d8, 0x59802f9a, 0xa4c95b5d,
+    0x143d95e7, 0xb92d43cf, 0x78fd263a, 0x0fe4d407, 0x85bcc076, 0xfc2be727, 0x19ea45a9, 0x5fa0ebfb,
+    0x4718838d, 0x48c38274, 0x4a39560b, 0x68681449, 0x5b98dcc3, 0x70734b0e, 0xe6f0dcb7, 0x57df4bd4,
+    0xc2715df1, 0x79844feb, 0x6836e84e, 0x9fc5eaeb, 0x38406a2a, 0x342dce77, 0x64a317ec, 0x06e7da64,
+    0xff643151, 0x09ffeaf0, 0x71aee415, 0x4dddec22, 0x9d67cfdc, 0xdb8c6596, 0xcceaa7de, 0xced4ec82,
+    0x5f330dfe, 0x2a530566, 0x40fff0f9, 0xbfcc2c00, 0x43049ee4, 0x2d46b4c9, 0x7c40e54c, 0xaa0531f9,
+    0x9ff13977, 0xbe41f05b, 0x0eb01d89, 0xa0662de9, 0x7af09b1a, 0x5d765d05, 0xb38cdff7, 0x824d56cd,
+    0x4ac44540, 0xf50db566, 0x85f31b6d, 0x9c287b20, 0xbec9055d, 0x700d53df, 0x4b737b90, 0x3e490b75,
+    0x90cf9078, 0x2fb965a3, 0xf9f95d00, 0x9aac2edd, 0xb2b27e8e, 0x71fb3ce7, 0x48ba606d, 0xe5f4185a,
+    0x6ed2223d, 0xc20975e9, 0x30fde60c, 0x6439cc85, 0x50a019a5, 0xeddce088, 0xd1821a2e, 0x91e09040,
+    0x80f5b71b, 0x12120a27, 0x06f9c98f, 0x9f61478a, 0x7be032d0, 0xdb171a50, 0xc7d567c3, 0x91c1a6f8,
+    0x77cce65b, 0xfa71a70f, 0x303bfe11, 0x762ea099, 0x55064b48, 0x4048d695, 0x411bfe27, 0x9e854407,
+    0x9a36c48a, 0xf07bdda4, 0x82b8a1bc, 0xcbfd5c2c, 0xcada1aca, 0xe119abf3, 0x2c52953f, 0x13c14a43,
+    0x9b1dea23, 0xf474c1c6, 0x33595b11, 0x57cea97d, 0x7244c38b, 0x6afa13a4, 0x7d9f6994, 0x159f2265,
+    0x3a74210c, 0xc7a0d349, 0xf89434ab, 0x6c9e3b78, 0x25470ce2, 0xfc90ed4d, 0x2b7cc8cd, 0x57e92fcd,
+    0xd070666e, 0x732076c5, 0xf2de6a70, 0xe03bbbc1, 0x8078ecd4, 0x2b6017ed, 0xe2e1e36b, 0x8547eaaf,
+    0x3cfc2d5f, 0x7c2afdcf, 0x82fe942f, 0x619f5a53, 0xf92fde15, 0xe2f4d1d7, 0xfcafc011, 0x0187b528,
+    0x8c15f690, 0x4089ec80, 0xb3677f3a, 0xb162f0f2, 0xa04db1bb, 0x92d2af6b, 0xe792625e, 0xb3f56ed4,
+    0xaafa51fc, 0x88edeb87, 0xcdafa16a, 0xc8f54a4b, 0x40c4ee0d, 0x12fee723, 0x06b01fa5, 0x0c1d7ea2,
+    0xdbb4fdcc, 0xa89cb18a, 0xef730227, 0xcc9f9f3f, 0x3f7313e4, 0xdedc6f3e, 0x7899c6e0, 0x7c5b0fed,
+    0xfcc85e20, 0xba108ccf, 0xabcf0abd, 0x071483e1, 0x4e11aeb9, 0x85adaa93, 0xb7cfcdcc, 0x05af4781,
+    0xaf9a7922, 0x9bcab516, 0x7a9215c5, 0x2fa56503, 0x5ecfc978, 0x4a0bcc6e, 0x8f0ab4c6, 0xc0c9e02d,
+    0xb5e8c46d, 0x406fb2a6, 0xfb342ebc, 0xaefcc458, 0x4e9a6cad, 0xd53983d9, 0x91724bc4, 0xe1ea7361,
+    0x4770f689, 0xf6b736b5, 0x0ad12546, 0x82966f78, 0xf554df58, 0x6908f094, 0x0bfb64cc, 0xf805cd00,
+    0x2e9fdd99, 0x9a6e488a, 0x5ae4ebb7, 0x8927373c, 0x8d9e976e, 0x459a945f, 0xc682e7e0, 0x5203b8eb,
+    0x43edb124, 0x27ba13e6, 0x5058c405, 0x34cfdde8, 0x15133111, 0x81a7add9, 0x2c195be7, 0xf51f6704,
+    0xd94f7faa, 0x6df79eb7, 0x036e7da6, 0x764a3229, 0x161002fb, 0x55c8394f, 0x90c8416b, 0x51615ea9,
+    0x8b2277bc, 0x5c4bbf59, 0x9da5a887, 0x2975c22e, 0xf9914c23, 0x96500ce3, 0x99f39fc8, 0xc14971d9,
+    0x665316ae, 0x9040304f, 0x0c7f78ef, 0x2cfaf8d9, 0xc2ee1a4d, 0xb788ab9d, 0x034b1759, 0x353ad07d,
+    0x768b164a, 0x593c1793, 0x5a2e7d0e, 0x3a30e31e, 0x7dcd5593, 0xae819b70, 0xe816c310, 0xddd0eec3,
+    0x216b0c96, 0x4dea0af2, 0xe8ff5ab4, 0x64286f5f, 0xf76dca89, 0xce0f6437, 0xdfd4e417, 0xd5359111,
+    0xbd12e4a6, 0x7dc1c541, 0xc3e0ad32, 0x79f6be1a, 0x5862591c, 0x42233440, 0x581cb348, 0x6e817e9c,
+    0xf3a92049, 0x6d32de48, 0xbeedfc32, 0xe4464e8d, 0xd39337e0, 0x6573c33f, 0x13076785, 0x6fb6f91d,
+    0x36673bb4, 0x6d6baa20, 0x92d195a2, 0x44e93bdb, 0x6f5eab6a, 0xce7ba5be, 0xd378daa1, 0x17a3c1dd,
+    0x9f84621b, 0x469370b4, 0xaa8b5230, 0xfb5fc145, 0x724ae08c, 0x5fedd7a1, 0xa3b0c9db, 0x503fe66f,
+    0x23e6ba29, 0xa421f476, 0x62f50c07, 0x5135ef98, 0x11d94d9a, 0x6e12a101, 0x971c899d, 0xf9639b13,
+    0xf4d3d9a7, 0xea17b8d4, 0x99fd402b, 0x2c132a11, 0x299f2d9d, 0x7f7e119d, 0x2f7c5b5e, 0x762e2e73,
+    0xa0e95ded, 0xb727109e, 0x2601f178, 0xc157a60c, 0x5df08b72, 0x18f6bd4e, 0x8ca65dd0, 0xbe0499fc,
+    0x710934c2, 0x0e0b20c9, 0x7934691d, 0x5ef185e7, 0xb0d1df6e, 0x9dc37566, 0x5f092692, 0xd20edaa3,
+    0xc3bf2f91, 0x0ffa03d4, 0x8fbc8def, 0x7888b39b, 0xfabb9483, 0xd7aeb187, 0x2dc50b94, 0x3344c50a,
+    0xa84c4df9, 0x17ecceaf, 0x0ab99a03, 0xe5159f04, 0x175efee2, 0xccf1f32c, 0xd7360c32, 0xa98d05a4,
+    0x2f7023d8, 0x706468b4, 0xbc8d0265, 0xdb2f0945, 0x6719b5a9, 0xd5000642, 0xe7a12111, 0xe8598460,
+    0x665b8ded, 0x0f51ccd1, 0x13696986, 0xda9ebfd9, 0xb51641b3, 0x507f62d3, 0x457e21b0, 0xc41c461a,
+    0x98d13d53, 0xf677ef26, 0x7bd19827, 0x4dbc097b, 0xbb6ea5db, 0x06740147, 0x2fa0a2d2, 0xe3b12a1e,
+    0xd3caad17, 0x1d2bbbf0, 0x6d43c0b0, 0x2891f186, 0x7878fea4, 0xf489c133, 0xb3a03e06, 0x3a329965,
+    0x8f4e641f, 0xe46024ba, 0xc5019a60, 0x4af6b726, 0x4937eaff, 0x341922f9, 0x3ce8e156, 0x615ce5a7,
+    0x0448bf73, 0x573e8b3f, 0x01e65aea, 0x74a7aed2, 0x6d295389, 0x6a51750a, 0x12b15acd, 0x93f6dbdd,
+    0x66460db7, 0xcb511da6, 0xfdaec351, 0xa8ab9b63, 0xd5ac31a1, 0xaa4a3af4, 0x0591b7da, 0x5000316e,
+    0xdce607e6, 0x302d602b, 0xd9c0ca1d, 0x7e28bfe4, 0x9295b3cf, 0x582aee2d, 0x8b0ce0ed, 0x405e7df0,
+    0x214bc2ff, 0x69c6960a, 0x338ea6d9, 0x75b4f56f, 0x351af172, 0x7e5dbcd1, 0x95b9536e, 0xd54b7e90,
+    0xf9285188, 0xf3ef8a22, 0xa8dd78d3, 0x34f724fb, 0x04cff56c, 0x9ec63d6c, 0xaff61c71, 0x3eb1b23f,
+    0x325d096b, 0xdbf5a444, 0x5d9cc917, 0x5845c7ac, 0xe52db4cd, 0xdf460e10, 0x30a22a2c, 0xb350e44d,
+    0x8814cb16, 0x25584124, 0x3ead1e51, 0x1b93a383, 0xe40411fc, 0xaf8ffd4e, 0x4b35d84a, 0xf5e569bf,
+    0xa79c452f, 0x01c4ec4e, 0x23f7d6bf, 0x18e2747f, 0xad5b00e8, 0x0d7a6820, 0xc118297a, 0x1f90385e,
+    0xc6ed9233, 0xc8628b41, 0xc2288102, 0x236c36d2, 0xab6e881a, 0x5828994f, 0x10d0eeb6, 0x68ea7ad7,
+    0x349557c8, 0x12be1036, 0xe614f2ac, 0xbe50dbc1, 0x90f516c2, 0x2fbdf326, 0x56d10807, 0x4c46e58b,
+    0xfc4bdbde, 0x74b0cc11, 0x9e646ac5, 0x7c3d6f1b, 0x5e5bc9ea, 0x547e126b, 0x6d9d2f91, 0x199e3fc8,
+    0x3c01c5f1, 0x3e90469e, 0x675eb733, 0xa3c7d27c, 0x76386222, 0xd6f91e1d, 0x58dcc3ac, 0x10d5de34,
+    0x0d0fffcd, 0xf9f4dc08, 0xd01df8a4, 0x68d3793e, 0x99370ccd, 0x638d8bd7, 0x666a6de7, 0xe378de60,
+    0xf717f918, 0x1c8bfb7c, 0xf551913f, 0x2365de83, 0xd30c47f1, 0x1e1fb963, 0x789d9bd9, 0x76b1d6cd,
+    0x6e4c4b4a, 0xada82e5a, 0x15ad9967, 0xc950d3cc, 0xa1668a8d, 0x9fa4c609, 0x26912a5f, 0x2a387239,
+    0x2a6e5a62, 0x4047f14f, 0xa720ca66, 0xaaf3e2df, 0xdd14ae44, 0xf34299bb, 0xe3550fca, 0x57f85b19,
+    0xf0fe2edf, 0x850870cd, 0xc7895389, 0x6ef0c3ca, 0xaeb3e252, 0x14b7386a, 0xd8efce18, 0xc9a77f4e,
+    0x9d38ce9b, 0x0975e98b, 0xde6f6b0c, 0x029bfb20, 0x8abb9405, 0xd4f16627, 0x6d050e0b, 0x26ed8a37,
+    0x5952deef, 0xcd2163e6, 0x472635b6, 0x782a0b7e, 0x70acc67e, 0x8b572d85, 0xb8683e70, 0xa166571f,
+    0x69a290a7, 0xd89ed331, 0xefb5ef85, 0x9bac33aa, 0x58a5a17f, 0x18a15ac9, 0x28461796, 0x9a6c78cc,
+    0x285747f0, 0xb47c4081, 0x34f81864, 0xa50000fd, 0x3629ad6c, 0x37026a4d, 0x8188e96c, 0x5e0a9cf7,
+    0xa9a995ae, 0x40f45fa6, 0x0e887358, 0xab6b7206, 0x8b1a90a5, 0x61e96a60, 0x00e1e10c, 0x03bed598,
+    0xd8f245c7, 0x4fb312b9, 0xa44bfb7c, 0x75f015fe, 0x7feff482, 0xcbbe80d3, 0xbeaccac7, 0x207332f6,
+    0x82094115, 0x20c2aeb9, 0x5a4b36ab, 0x9f51090b, 0xa020777f, 0xe04f14de, 0xd2a0981a, 0x8eedfabc,
+    0x9379dc61, 0xe9224e18, 0x99443e96, 0x8c6d3041, 0x5ccc70aa, 0xef5769cc, 0x2ac248fd, 0x39ac117a,
+    0x66679e65, 0x18fdb004, 0x32836410, 0x7e69db2e, 0xa7108fcb, 0xea029064, 0xc23de641, 0xfb02ffb4,
+    0x35a43e47, 0x4757d660, 0x72227154, 0xb2f2aa04, 0x47777d55, 0x54c190a4, 0x77206d3c, 0xd0f45aad,
+    0x0942bb89, 0x8e029949, 0x617cf1ed, 0xfb6296df, 0xdfef98ad, 0x7a60c74d, 0xa93f0c10, 0x3b8fb788,
+    0x18477224, 0x89927834, 0x4d0d1832, 0xef4f0fed, 0xb30cbb9d, 0x011634cd, 0x162a8a96, 0xab3214f2,
+    0xe7803add, 0x717dead8, 0x5ee3226c, 0x93eadceb, 0x7b62acb8, 0x89c7b356, 0x0590e1f2, 0xa9558280,
+    0x15a955c7, 0x38c7bc56, 0x5199ecb1, 0x5b7fb8d5, 0x4ae54765, 0xa1e23b6c, 0xffe31f9f, 0xe9f45130,
+    0x7d7da2a6, 0x7946a8b0, 0x6f1f83d2, 0xf0c522cb, 0xd8cf3e92, 0xb03f944c, 0x603ffdba, 0x90432171,
+    0xe8345f66, 0x8fd3fab3, 0x67bd0290, 0xc937a1c8, 0x65adf38b, 0x389bc84a, 0x5be8d26d, 0x35f35848,
+    0x9817cbb4, 0xa254a99d, 0xc14699ad, 0x63b6d3f3, 0x2e6fb5ca, 0x23cfeeda, 0x33a5a7f7, 0x7fe440c6,
+    0xac754d5d, 0x0d9583e0, 0x084ce4fa, 0x1514522c, 0xe7ff6f69, 0xb06a31b4, 0xd09a1b81, 0xbb54a9f9,
+    0xc9632a4f, 0x0c907488, 0xc4b09621, 0x3f6422ee, 0x95a9efbe, 0x4b8d6b01, 0x6af50f23, 0x59fe464b,
+    0x1959dee5, 0x64db2092, 0xce053d04, 0x0d652a19, 0x8a985e00, 0xf4507c08, 0x3597479f, 0x5ae5ea01,
+    0xdfccf6d3, 0xa5a07ec9, 0x6bb69754, 0x0cbe5f98, 0x993c34bd, 0xd6035377, 0xe9692f47, 0xcfa5db22,
+    0xcf312815, 0x08209b32, 0xa8c0d7a7, 0x5045f2b9, 0x7bd6c353, 0x1b0ee73b, 0xcd501ccb, 0x8719b431,
+    0xd5f44c1d, 0xf2947426, 0xabd3e086, 0x091a7bc3, 0x0f00695e, 0xa5796e1d, 0xea8047e7, 0x8acf073d,
+    0x90b75eff, 0x92869f6b, 0x3f5bfbe5, 0xd562e2c4, 0x38291990, 0xc65d57a2, 0x66940fc0, 0x11bb7c8b,
+    0x34c0c697, 0xa2907282, 0x9af351e8, 0x46815799, 0x71b5bbac, 0x9ad06fd3, 0x542feb92, 0x60bb297f,
+    0xf6bd1b23, 0xcdb5a615, 0x4c9ae3fb, 0x60002c58, 0x35022754, 0xeb359c82, 0x9993a3a3, 0x0a7c84b5,
+    0xcaaaaa58, 0x4117221a, 0x645c0b62, 0x12e91b56, 0xc4471d3d, 0x22bf94bb, 0x882c41d1, 0xe33018b3,
+    0x79cf6879, 0x79dad8ec, 0xbb5c315d, 0x7df72586, 0x1c6f3b50, 0xd435355b, 0x76e518b8, 0x43d45e60,
+    0x873d7c6d, 0x8f1a7590, 0x66aaa7d2, 0x549dde2b, 0xb39800a9, 0x6bcee3f6, 0x2e5b5109, 0xa82d4dce,
+    0x00000000,
+    0x164a0495, 0x36da8120, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000010633823966279326983230456482242756608 */
+  { 0x00000000,
+    0x2069959d, 0x739bae41, 0xacf351b9, 0xf6f293b0, 0x2c5a4322, 0x30c4d2f4, 0x6c678705, 0x94710818,
+    0x223bb00a, 0x2852f61e, 0x164e8f37, 0xa3f7eae8, 0xda2b3538, 0x32f12711, 0x650863eb, 0xe0e2428e,
+    0xbc2535f4, 0xb59d04f9, 0x77c6ad2c, 0x68b96c40, 0xa4bd427a, 0xf3b980c8, 0x74d254be, 0xe84c6b57,
+    0xb5418e69, 0x3d3337ad, 0x12ec4f9b, 0xd62ace78, 0x2aec7c12, 0xeea93924, 0xae88331c, 0x96f00b43,
+    0x8d32d2d4, 0x2d7fab27, 0x24a2f21e, 0x81b068c7, 0x96a1e857, 0x894db37c, 0xc009e87e, 0x97deeec9,
+    0xd1433ea4, 0x1f1c8682, 0x23bd5297, 0x6e04ab2c, 0x7eb5b006, 0x53e3d8a0, 0x925a2415, 0xaf40331e,
+    0x2180ced6, 0xd16627d1, 0x99b99273, 0xaa9e6d43, 0x93905304, 0x90cb274a, 0x69dde809, 0x816c9c33,
+    0xec23d411, 0x2f24ecfa, 0x198e9570, 0x840645dc, 0xd2f1be0e, 0xa017c329, 0x73a64142, 0x9506888d,
+    0x1606ab88, 0x7aea7925, 0x2c5ee814, 0x0bd23f46, 0x0b7e3e25, 0x37188581, 0x726f84fc, 0xaadcfb56,
+    0x7bc11609, 0xb05b2b53, 0x30c87854, 0x053fabd8, 0xbcd04c3b, 0xeebe910d, 0xbc4de2da, 0xbef750cd,
+    0x66c06d0c, 0xee0a277c, 0xb4a65e7c, 0xfe71f1c7, 0x44c130e0, 0x36cefacf, 0x1ddbb37b, 0x2b50cc6b,
+    0xe28608f3, 0xd7a99389, 0x80b6e834, 0x55542a65, 0xe1a883bc, 0xf364686f, 0x64e060f8, 0x4a7a8743,
+    0xba27acd5, 0x39cae854, 0xe5c8608c, 0x92699d98, 0x33083e55, 0x56f8db7d, 0x5128ac34, 0x429e2f97,
+    0x99db539b, 0x1a8c6108, 0xf92ff59f, 0x175618fd, 0xa94e4778, 0x5e366985, 0x0d6cb4b7, 0x004e004c,
+    0x0fffd7fa, 0x71d0bfc9, 0xd4058a85, 0xfa2e40fa, 0x0f684530, 0x892672da, 0x08b0f140, 0xe7b8960d,
+    0x6f704cd3, 0x283a09ac, 0xe23c0d12, 0xaf198170, 0xa51863e1, 0x59ade1f8, 0xc80f35db, 0x07a082fc,
+    0xcb4e9e84, 0x382e3186, 0x8c94242f, 0x4de3bfa1, 0xfe20a2f3, 0x173f260d, 0xf114b7cf, 0x887ac7f3,
+    0x956cdf26, 0xcd449abf, 0xc52bd8a5, 0x1fc333e3, 0xee43aed8, 0xb63f8377, 0x9d5e212a, 0xb1943d97,
+    0x85b1b447, 0x8c3847dc, 0x0448c451, 0xe6a55d1a, 0xcdbda8d7, 0xed84fe78, 0xc1c046f1, 0xcf461a8a,
+    0xafa4dada, 0x79fc01f1, 0x4e89e801, 0x542fcaec, 0xd8fc8811, 0xc851d7f8, 0x6fa57d61, 0xc31f5ecc,
+    0xba4cfe4f, 0x4cdbc262, 0x527bf954, 0x43439160, 0x97a73046, 0x28c551eb, 0x2ec37c60, 0xa84e6ef3,
+    0x4b622240, 0xd209c318, 0x4113e4ec, 0xd8337ce6, 0x7a5e0233, 0xf4406652, 0xd88584cc, 0xa51f51d9,
+    0x71c1c338, 0x26cda07a, 0xe5882986, 0x28ce6809, 0x7a8bdc12, 0xb69c6ae5, 0x7501254e, 0x94106bc3,
+    0x85262b98, 0x53ac550a, 0x7db9fa15, 0x73fb3d01, 0x11cab4d6, 0x45243144, 0x0ac024bf, 0xa0ad7632,
+    0x73bd0c25, 0x0a6bf27a, 0x5d87fbb4, 0x8cc30f79, 0xb74913b3, 0x022038b9, 0x42ac3aa4, 0x6bba0db6,
+    0xbe5c6aef, 0xac6fb6a3, 0x29c1858f, 0x34f6810d, 0x292adc48, 0x5d5e875f, 0x96870537, 0x356f2120,
+    0x3331bcb0, 0xb887c195, 0xe7cad06a, 0x368d7f53, 0xfd3ad7ee, 0x3b4933bf, 0x183310d2, 0x12d476be,
+    0xb5c21f0a, 0xaced5411, 0x4d404c54, 0x0910615c, 0x7f243438, 0x143d53d7, 0x9c5631ca, 0x0068c5dc,
+    0x0f0f9b75, 0x43a3e540, 0x27d1097a, 0x47c3ddef, 0x6bbca916, 0x28595c6b, 0xf00721ee, 0x240a5eac,
+    0xe958fd14, 0x3cc3e9ea, 0x3b3d03e9, 0x1b440c88, 0xa37a8a1c, 0xcf1d5b2f, 0xf5e85f8e, 0x308c31e0,
+    0xd0464b0a, 0x0ebc4bf2, 0x8db2cf05, 0xb6c7eb04, 0xbdde74ba, 0x92e270d6, 0x812325a1, 0x103a0b1d,
+    0x311fc299, 0xa23930e1, 0xb19881d6, 0x358be3c3, 0x9e4376dc, 0x8b350c5f, 0x6b08fd81, 0xb0aadb75,
+    0x6dc2b3c7, 0x93a6c575, 0x0acb9c78, 0x7a3488c8, 0x58089cd9, 0x70692302, 0x353c714f, 0x144a736e,
+    0x821ac619, 0x55a19dce, 0xdd7ff0d1, 0x6c29e33e, 0xb78de450, 0xb6a50c86, 0xc4e3b448, 0x16b4fe57,
+    0x69c0e885, 0x9b1aab29, 0xb81930f1, 0xa7f79ab9, 0x7ee75a51, 0xa35d5633, 0xdc873d8e, 0x56257f26,
+    0xb38336ca, 0x8b2e4b61, 0x18bb181c, 0x04a9ff2f, 0x7ef84765, 0xe28ec1d1, 0xf4985d5e, 0xd6ef3a63,
+    0xfd59f80b, 0xad40cc32, 0x2c6585b1, 0x6ee0c6e6, 0xa4f5a6e4, 0xe7b1a28d, 0x244074a7, 0x1ebe4976,
+    0x732cecae, 0x11969173, 0xc7c6145f, 0x4ffabf60, 0x5e680c0b, 0x8773bd4a, 0x34ef1734, 0x4556d555,
+    0xadf9fe5d, 0xb9b6899a, 0x0c809f09, 0x85652b4c, 0xa9393ce3, 0xeab436ae, 0xbb5a80dc, 0xc74590d5,
+    0xe87c5d4f, 0x00ab74f8, 0x0ee0de39, 0x8f592424, 0x7877457d, 0x985938fd, 0xca64c69a, 0x61fcb503,
+    0xff67767b, 0x28aaa762, 0x2be46fad, 0x652be5e3, 0x77bcffd9, 0xeef1d586, 0x1a8c93c8, 0xa287aec3,
+    0xb51f3200, 0xbb4aa336, 0x6356b328, 0x6391efc6, 0xb3a5645e, 0x2d431083, 0x87506f94, 0x1664755f,
+    0xdcfdcff1, 0x00553e25, 0xa9cb0702, 0xb6276ffc, 0xcdba4770, 0x4cd53544, 0x34bfa913, 0x8b48a4ff,
+    0xd622acd2, 0xc24c4130, 0x8dd3d284, 0x5c5b0588, 0x04233b68, 0x5eba87a2, 0xeaa88d61, 0x437ab249,
+    0x9d379b35, 0x10d9ab24, 0xea2d9b43, 0x08a53948, 0x5917987a, 0x55193af0, 0x7389c510, 0xa01e3ece,
+    0x6b252ccc, 0x853b2197, 0x022b42e4, 0x44e79fe7, 0x80691d91, 0xf5febfb7, 0xac361af9, 0x8091bbc1,
+    0x92749c66, 0x02b1f4e8, 0xece9df5c, 0x34726bd8, 0xf51632b5, 0x838233d9, 0x429b563a, 0xc5ff4351,
+    0x58d057bf, 0xd58913db, 0xcfe156f7, 0x07b6e1c2, 0xf919e165, 0xced24801, 0x3b8ae98c, 0xe97c4dfa,
+    0xb36e18ee, 0x8c46f88a, 0x9e8724dc, 0xd0c1544c, 0xa5a765f9, 0x99f72a0e, 0x25e9bdfe, 0xb3319498,
+    0x79b34059, 0x170fe60a, 0x88424bf5, 0xeeb267c4, 0xec6469a8, 0x10d9f2f9, 0x109477f0, 0xdbb7e3e7,
+    0xab43f525, 0x1425dd4a, 0x7a3cd800, 0x0ed97275, 0xf1a79c1e, 0x5f14b965, 0x22db00f9, 0x5f0eb6e8,
+    0x528e6ef5, 0x2d967ab8, 0xe4b25ee2, 0xf0869c6d, 0x55cc7cfd, 0xa747e42f, 0xa959c737, 0xd0098a36,
+    0x01383cb4, 0x80652110, 0x2170b481, 0xba67809a, 0x468dd735, 0xaae6d7cf, 0x052f616f, 0x88a82e51,
+    0x37a65ba9, 0x40caf8c8, 0x78b1cc66, 0x2a60154f, 0x9767d5f6, 0xe3ab3497, 0x4fd4bb88, 0xabdf446a,
+    0x9c57fd12, 0xba505960, 0x689b2738, 0x3ba97294, 0x7fcb86f3, 0x5b9a1d16, 0x18514329, 0xa5e15092,
+    0xd7cd01b5, 0x3ee64a00, 0x52fdf155, 0x7e24e24f, 0xb6c93e30, 0x6518fd7c, 0xbf66467a, 0x64f1bfce,
+    0xd642f0a4, 0xa6ae4c32, 0xca3c1373, 0xa11588f4, 0x2750bd9d, 0xfe39cb87, 0x08e214c7, 0x1977096b,
+    0xd7ac5054, 0x4a700cd6, 0x6ca30168, 0x5ad2514e, 0x474a44b1, 0xd0a640db, 0x98330191, 0x352bc0d0,
+    0x754ea2bd, 0x690b4d2a, 0x70558fda, 0x24f05aae, 0x42c5d8ba, 0x1c2da928, 0xa8418a99, 0xa7dc0fda,
+    0x3d541ac9, 0x86a65d15, 0xba330e94, 0xf0d212d6, 0x75e7eb7a, 0x563293f1, 0xa40b5c59, 0xdd20663b,
+    0x81c1a46b, 0x627c7e1a, 0x75cdcdf1, 0x252c0d3e, 0xaffa048e, 0x76c22e2f, 0x3eae221d, 0xfa395e5d,
+    0xca96ad92, 0x10620b5e, 0xc60d103c, 0x567f4d01, 0x22d17d37, 0x88b04402, 0x8695feef, 0x42af2ad7,
+    0xb51e9deb, 0x68e832b8, 0x7ca90312, 0xa9e23c60, 0x074ee48f, 0x61517bfe, 0x75b56551, 0x1c9b45ff,
+    0x85266424, 0x0b6558fa, 0x020a3746, 0xc8bbbb03, 0xb7b76471, 0x0806b514, 0xdc7b149b, 0x24581857,
+    0xb2e1d8e1, 0xcfa5d973, 0x3e8931d0, 0xb6f92c1e, 0x7f4a978f, 0x123c45b2, 0xe520a0ca, 0x35fc6534,
+    0xbd1a0dc3, 0x81810bcb, 0xfbc2f7de, 0x4f277d5d, 0x1351c87f, 0xd8022a57, 0x80c967b4, 0x07c3ca5b,
+    0x19c6f8e9, 0x9cd6ab59, 0xc5f40545, 0x37d0f593, 0xab5d3f96, 0x6c17f48b, 0xe601e004, 0x9da44244,
+    0x24c9a25a, 0x5702f3a8, 0x7b00aa5b, 0x3d4f7ac1, 0x3d179e9e, 0x20530a3f, 0xbbbac587, 0x33a1662f,
+    0x7b64b901, 0x57e386ea, 0x4f5d307f, 0x6b4a369a, 0x7e0aa424, 0xea3bf349, 0x2f5bbcc5, 0xd58ddf04,
+    0x5f9c0f0c, 0x720230f9, 0xf606e66f, 0xcfd588f4, 0x53f81257, 0x2a9f6a3f, 0x6018d8c4, 0x47551ca7,
+    0xeae2849f, 0x07820c6f, 0x47eaacae, 0xf20e825c, 0xe1c251e6, 0x3e8644b4, 0x73d51a2a, 0x996d3809,
+    0x8161d8b8, 0x882aaaf6, 0x2e7211be, 0x88e92b31, 0x519a57df, 0x5d1fe8d6, 0x1d46703d, 0x7698375b,
+    0xf238d5a6, 0xf03feeca, 0x2fa93e3b, 0x5a0065c9, 0xe5655ed4, 0xe4b45e40, 0xefecc435, 0xbd057c67,
+    0x9de2b3cb, 0xe4bef70f, 0x06bea75b, 0xdfe55281, 0x6e7f5408, 0x839f3b9f, 0xf728cb29, 0xcffb7fba,
+    0xbbc5897e, 0xac18aae3, 0xf5039c32, 0x9a297a15, 0x24977deb, 0x8f63821c, 0x4effd3eb, 0x1cce4f80,
+    0x352283c0, 0x907d0600, 0xed18a4fd, 0xe62a4840, 0xc9740672, 0xfd07d75e, 0x61eec759, 0xa8dc904e,
+    0xe0eaa6a0, 0x45aedbec, 0x9ddecf90, 0x49e0f094, 0x2ee77521, 0x5b65547d, 0x55ce8bf1, 0xa44df267,
+    0xbe1437bf, 0x4390927e, 0x0d7c7fef, 0x8652dd8a, 0xb7923646, 0x79f6baf8, 0x77390f3e, 0xddb9822e,
+    0xea9a9448, 0x11ee234f, 0x69274217, 0x675fd95f, 0xb870ae4f, 0x4c149b90, 0xbdd9a907, 0x21cc2e29,
+    0x396eb84c, 0x5359e0f1, 0xef606a36, 0x48d40bf7, 0x24bf3368, 0x7b47134c, 0x9aef90ca, 0xeef2b4a4,
+    0xa0ccb87a, 0x8957eb96, 0xd8601ec1, 0xa39047b7, 0x66b4eef5, 0x9ee23e28, 0x113624f9, 0xd6b168fa,
+    0x0bf5a99c, 0x49b0f823, 0x2e23c786, 0xc4d059cf, 0x62918c62, 0x4e600949, 0x67a723bb, 0x503628f1,
+    0xb5522e7d, 0xd53f9e1b, 0xba1a001f, 0xf52c1870, 0xb248e0e8, 0x765c3389, 0x60f6151b, 0x0fbd2218,
+    0xa74eacf4, 0xcf05d9bb, 0xe07a87f4, 0xc7130f02, 0x0f7e7664, 0x269edabe, 0x345a95f1, 0x91d60653,
+    0xc1a62dc8, 0x924807d0, 0x41316c65, 0x9ba399fc, 0xe744f220, 0x8693489f, 0xed7c23bf, 0x2b85d697,
+    0xdb54a3bd, 0x429054d2, 0x2ee722a3, 0x0f4b1177, 0x73184cd9, 0x4585dec1, 0x4227c0be, 0xf16230fe,
+    0x77674f5f, 0xe426a234, 0x51c6eb77, 0x58ceebc9, 0x306a4512, 0xf4699243, 0x0c12bc3d, 0x04416f1b,
+    0xeec7efd5, 0x4e63a53c, 0x4d0d2c86, 0x384b4497, 0x1fa84e86, 0x2e62a92c, 0xa44ca31d, 0xc7255cca,
+    0xb7220305, 0x0e6f5acf, 0x7ea2fcda, 0x6dfbbbf4, 0x7032001d, 0x8f3b787f, 0x39413c22, 0x39d687b8,
+    0x0c33cf10, 0x3530e12e, 0x0d4e5cf5, 0x771577e4, 0xa5e4bbb6, 0xaa5b0623, 0x68034060, 0xccb7d758,
+    0xd13eb587, 0x5949284e, 0x7856ee00, 0x9d7ad032, 0xe23e1d0c, 0xf4b449db, 0xe3573165, 0x13580476,
+    0x5b20bece, 0x4d1c172a, 0x864043ab, 0x377bc50b, 0x3faaa7c8, 0xecfa7afb, 0x9318d6ba, 0x82c7325b,
+    0x088caf83, 0x54bab88a, 0xa2dfa2f8, 0x1ef2850c, 0x745a76d7, 0xd56237a4, 0x5b3c9b42, 0x4a664276,
+    0x6139d766, 0xb5dcfb04, 0x6a21d479, 0x127595fb, 0xec134b66, 0x40b10b23, 0x38413a8a, 0xa999ce99,
+    0x58dd61f9, 0x3400caac, 0xe70bc29e, 0x6287d16f, 0x786e8fcd, 0xbc030668, 0x2fff13c3, 0x5676b713,
+    0xe7ec73ae, 0xcfc2e8ee, 0xbce5fdee, 0x25591f01, 0xb0acaf7e, 0x7cc1e6e0, 0xc60839ff, 0xe6753541,
+    0x577bf689, 0xb9341e2b, 0xc55687ac, 0x985b7578, 0x00a5fffe, 0xa4f041e7, 0xa94d825f, 0x9e48bfab,
+    0x71787de5, 0x1c523ff0, 0x7ab8f641, 0x5ef5cd64, 0x60c63570, 0xee934ad2, 0xa735557d, 0x61ec72c8,
+    0x05a381c0, 0x913a7f18, 0xd9815b05, 0x79dde0be, 0x730a67d1, 0xb40f091c, 0x709c4eae, 0xe66f9a3c,
+    0x77933e5c, 0x191b327d, 0x479406f5, 0x8aaffb6d, 0x8b4dd4d8, 0x512e9542, 0xdbc82a09, 0xad5ced05,
+    0xf7b171ab, 0x05546895, 0xf42c5d64, 0xc5a7cdf5, 0x821a48a8, 0x20149e34, 0x5347f3f7, 0x0600ce24,
+    0x6be2d8bf, 0x93f67109, 0xdc734ab5, 0x4c96583d, 0x3d71e020, 0x20f1a849, 0xce91296d, 0x4dc0d60e,
+    0x27608ad8, 0xee2599fe, 0x600ed514, 0x4d43c760, 0xb41412bc, 0xbf028545, 0x330d5f61, 0xd0c4f33e,
+    0xdae0108b, 0x6b5528dd, 0xf2134568, 0xefcdbd02, 0xb4ce84e1, 0xf37c8dbd, 0x983e9c55, 0x865c39f0,
+    0x7e386970, 0x82fbf4e0, 0x3e8bdefa, 0xf43088e9, 0x7cadd5ac, 0xb4edf88b, 0x006e00bc, 0x053dcde7,
+    0xb9eebc28, 0x813d80ef, 0xa3dab886, 0xaaaf2cd5, 0x59752502, 0x6aa08a7e, 0x0553a569, 0x7f266624,
+    0x66f1a15b, 0x58353c88, 0x41f3adf1, 0xac57f99c, 0x6cfab23e, 0xdea3990e, 0xde0852ac, 0x2960ac40,
+    0x2643751d, 0x0bfd2f0e, 0x03b594f8, 0xcb5b6124, 0x1ef8d707, 0x3efa7a8a, 0x1cf637c3, 0x23dc1c1f,
+    0x643e90d5, 0x5f7abbfc, 0xbcbdec57, 0xe02d5f82, 0x8d4bdd8b, 0x281674fc, 0x90848886, 0x259674a7,
+    0x48cd31c9, 0xbc33b236, 0xc42d26b8, 0x2c0cb040, 0xce85bb1f, 0xa8ec79ce, 0x82f0bd2e, 0x7fc4c73a,
+    0x948535a3, 0xa5894cf2, 0x1098f32a, 0x2a74010e, 0x152b69ac, 0x4d2bfe7e, 0xf717e454, 0x74afb531,
+    0x8cce8e57, 0xfc4639ae, 0x9da6b1ea, 0x231f60fc, 0xecf0fc2b, 0x0e21d5d4, 0x2b7dcb15, 0x31468c54,
+    0x77a1baea, 0x244c2c79, 0xff356b4d, 0x26dd6bd3, 0x918f6531, 0x77d1dd77, 0x743c924f, 0xd562d08a,
+    0x4ffa9b4f, 0xb3a07540, 0xe04750a1, 0x8f2698bc, 0x3ea57b61, 0xc9d5ea89, 0xc05c6697, 0x3b31bd0b,
+    0x72e05df2, 0xe154d4f4, 0x2339fd33, 0x99ec28da, 0x82027a27, 0x09426213, 0x91ae5589, 0xc8f04d46,
+    0x96d07fa8, 0xaf2d166a, 0x3ce2d3af, 0xce157bd1, 0xf853563d, 0x92ebdb5f, 0xaa290137, 0x429bdccd,
+    0xe73b7657, 0xd383eb16, 0x89efa02b, 0xa1bf6819, 0xfd3e7b7b, 0x33cc0b8b, 0xf33ff697, 0x4e71956e,
+    0xc4f791ca, 0xdcbd86d6, 0xc66fd519, 0x9da67f62, 0x8e42bc0a, 0xe38194a5, 0xd7e8e09f, 0x4cb50693,
+    0x707208aa, 0xe8694c58, 0x4d2c259b, 0x056c33bf, 0x578cce98, 0x4ecd408c, 0x4477ee6c, 0xaf3d9ac1,
+    0x7126270b, 0x7cf54e6b, 0x316eb19d, 0x2bdaef12, 0x55b0d34b, 0x73df786d, 0xed8fff54, 0x0c89dc39,
+    0xad6179a6, 0xf04fe951, 0x6e90d23a, 0xac05ee45, 0x3796ddf6, 0x6ac2717f, 0x0fd53bf3, 0xe4101802,
+    0xcc19de70, 0xd6e6d030, 0x4bfcd10d, 0x389953f7, 0xebbb5df9, 0xb48eb748, 0x783a4978, 0xc9c82394,
+    0xa9228860, 0x4d1abe25, 0xacaaffc7, 0xb9216ee8, 0x8be13cd2, 0x31dc8605, 0xc3cb6c01, 0x3473f8d7,
+    0x968536c1, 0x813b3fe1, 0x43995d3d, 0x04e5c563, 0x196ff5e4, 0xcb6e31ce, 0x21e73587, 0xa4240486,
+    0xaff51d16, 0xc19f088b, 0x0b189168, 0x6e16ce1b, 0xfb258d1b, 0x47cb2dc7, 0xb25f55fb, 0x4699d799,
+    0x1d09c772, 0x21732be0, 0x2fdb7a8e, 0x72ca33e1, 0x6d274367, 0x933c850a, 0x17db3fe2, 0x92b83a26,
+    0x00000000,
+    0x0b25024a, 0x1b6d4090, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000005316911983139663491615228241121378304 */
+  { 0x00000000,
+    0x504d355a, 0xcf304617, 0xe3b25b6b, 0xe030d221, 0x84ae6dde, 0x4e99e4d8, 0x63384eee, 0x9ded7b11,
+    0x021b5da5, 0xd9d02d99, 0xc03c3bfe, 0x989752fc, 0x3ec1a89d, 0xaf991e74, 0x0958464b, 0xbd6a88fa,
+    0xde240d83, 0xac1dd337, 0x3f4e1f78, 0xc2212f14, 0xf2faa8d1, 0x0369b203, 0x4e289c88, 0xff13d007,
+    0x6375b5c2, 0x0f80efc4, 0xe5119b57, 0x5d6580f2, 0xe18769f1, 0x6f032958, 0x88892848, 0x35778664,
+    0xa0596d60, 0xe68ef2a8, 0x62024ad7, 0xf314054a, 0xaf736ca1, 0x6d2a5337, 0x841e176a, 0x81b973af,
+    0x8b4cffba, 0xccabbe22, 0x11a54a50, 0x91e3cc0e, 0xf477ab5a, 0x3be241e9, 0x8fb3e2a3, 0x61572926,
+    0x6b0b171d, 0xd0958471, 0xf1c0ddab, 0xefbd35c2, 0x7b795c39, 0x434dcc15, 0xb55eb81a, 0x68931bc9,
+    0x8507967a, 0xc7ce931c, 0x6a38a73f, 0x7f36937c, 0xf8874331, 0xbc88862e, 0x49aa196e, 0xd7775318,
+    0x24bed77b, 0x623665c1, 0x23cb5029, 0x5cf7b155, 0x0be06641, 0xe916a3bb, 0x2d89063f, 0xc3c0b442,
+    0xe0a2b77b, 0x85b3091e, 0x1da8780f, 0x72f7e734, 0xb0226c77, 0x60f23030, 0x23231b5a, 0x8ce1d43f,
+    0x517acdb9, 0x15fcdc2f, 0xf2fb61e1, 0xaf53352e, 0x819fe4bb, 0x9483410c, 0x17985ea8, 0x22413020,
+    0x50260d0d, 0xab1743d0, 0x1fc90015, 0x577795e9, 0xd77a02f7, 0x9e102972, 0xa090dd27, 0xc258415f,
+    0x7940405e, 0x87412099, 0x3f15ff9b, 0x89aaca2e, 0x76358bdf, 0x8e20e49e, 0x44e1db53, 0x13363acf,
+    0x8460ce18, 0xed9eb550, 0x972a1c21, 0xa393d4c5, 0x039c25f7, 0x6df6f720, 0x650076ea, 0xa2e424e1,
+    0x0c6c2877, 0x24ed98b5, 0xe599ef56, 0xd4f4a291, 0x4c829e0d, 0x167ad4ca, 0x990c1d91, 0xeb3562ec,
+    0x69eaaf17, 0xbb378233, 0xc1776e60, 0x7d915341, 0x61a149f9, 0x6f9d4d84, 0xe6482a59, 0x76aca566,
+    0x2da27c00, 0x9b46d358, 0xdc993fa7, 0x72339d5e, 0x39de45cb, 0x0bddf051, 0x47ffa6b3, 0x3d90b9e4,
+    0xb22b7972, 0x55a5b66d, 0x71272a1a, 0xe52b189a, 0x4c1a7838, 0xe5d0382f, 0x0bd6efb7, 0x3643913d,
+    0x97348779, 0xaf3054d3, 0xec88ae1d, 0xf95355a7, 0x3ab12baf, 0x4a1982b3, 0x947d5e73, 0x2289c3be,
+    0xad485776, 0xd75c8c50, 0xc5c1dd29, 0xd9c7d396, 0xd2b1face, 0xbcce9c64, 0xf9963403, 0x314061a2,
+    0x712ea39d, 0xdbb1e4a6, 0x3085997c, 0xda2a008f, 0xbfb4d1e1, 0xf474d8af, 0x41193910, 0x144b1064,
+    0x6e6f58c5, 0xf00e4799, 0x557f613d, 0xac91892c, 0xf9a0eb61, 0x60692449, 0xdc16392c, 0xcd276c48,
+    0x54ddf563, 0x56f273c1, 0xf511b8fb, 0x1766ab11, 0xfdca8512, 0xa58bacf8, 0xf28d0dc0, 0xcddc249f,
+    0xd731361f, 0x684834ed, 0x721fa56b, 0x8105300d, 0x52428c88, 0x9d6a57ce, 0xcf492c83, 0xea4ac628,
+    0x1fad75b5, 0x65e1a9be, 0xa1ab3f95, 0x81fc1c5f, 0xc619bfc3, 0xcde95b94, 0x73ba2aa5, 0x67713da7,
+    0x0ec6c875, 0xb0d2d37f, 0x0053f1be, 0x35c43186, 0x8de8fb40, 0xa2c6bc46, 0xf7c88f3a, 0x66d51ed0,
+    0x76a620bc, 0x8fd7bb09, 0x51ba063b, 0xf4d8be2c, 0xca0e7a52, 0xd5a88b81, 0xbaf55012, 0xe6a14dfb,
+    0xe7fbb5f4, 0x0024b6b7, 0x6134638d, 0xff8284fb, 0x24af440d, 0xf193c030, 0x76761af5, 0x4c590b2c,
+    0xa8012001, 0xb3bee6a0, 0x037ef76a, 0x5a15ba5d, 0x9152e80f, 0x5521f393, 0xe6bd1364, 0xf48ccbc8,
+    0x24229092, 0x4f0d6559, 0xa033ae58, 0xa71df48d, 0xd7e35c15, 0xcb3700d9, 0x36d5539e, 0x2e16a49e,
+    0x1e130973, 0x6fa07521, 0x74c253ef, 0x03a2b90a, 0x73dd211e, 0x2bd23bc4, 0xca593c49, 0x23cfb3e2,
+    0x8ff7c37c, 0x70b675db, 0xa650a0ec, 0xf281ca7c, 0x33417879, 0xb28aa329, 0x450c9995, 0x812d2af5,
+    0xfd4f4680, 0x8aef51cb, 0x09149858, 0x179185fb, 0x92f3335d, 0xd13b7c44, 0xb55831cd, 0x4296bcb8,
+    0x1dbc54e4, 0x2498887b, 0x895353b3, 0x07f9bf0e, 0x0a048254, 0x507895b0, 0xc7624563, 0x1cd33505,
+    0xec50a444, 0x7aa67ac7, 0xf019b00f, 0xeb4f9f3c, 0xc1388c81, 0xd62f1923, 0xeb574a3b, 0xf4bfefc8,
+    0xc73fc165, 0x051e34c8, 0xb588beff, 0xb56db7c0, 0xcbd83ad2, 0x02715430, 0x821634e3, 0x46148f8a,
+    0xe2c3eada, 0xb20660be, 0xd3eccfa4, 0xe1afcd1f, 0xe1669051, 0x15114980, 0x3c066a39, 0x7cba10cc,
+    0x6c2981a5, 0x1c6d271a, 0x9658d88d, 0x7774917d, 0x63139e1f, 0xdc0bcb62, 0x6bac7679, 0xe12c4e4d,
+    0x7abe89b4, 0xd8e827b1, 0xde1e15ed, 0xdd509307, 0x713c2de4, 0xb5ca2c96, 0xe8bd6354, 0x35c6fdb8,
+    0x60b219b9, 0xa0a7cca8, 0x40a2177b, 0xdce882ff, 0xa7fdb116, 0x2d814ed7, 0x50e78e34, 0xccfa5dea,
+    0xb89127db, 0x7779280f, 0x06ea99ba, 0x270464c9, 0x4532dbbe, 0x44cf5aeb, 0xcb691df6, 0xaddd45b1,
+    0xd4ebeb72, 0x59e07d4f, 0x2158027e, 0xa7b0f7b6, 0x1a0cb71e, 0x9d2409b9, 0x919333b9, 0xc573dbc1,
+    0xa4967f1a, 0xa67e6382, 0x5cc6e17e, 0x1d62a51b, 0x2643e46a, 0xf60b8d17, 0x66797862, 0xa7048057,
+    0x0da36090, 0x4ec0aa18, 0x1908faff, 0x30a28a4c, 0x434a3bb9, 0x61d0a7e0, 0x20992697, 0x3b0707e9,
+    0x1369f1a5, 0xc33a6e7a, 0x66c37ab5, 0xd420b8c9, 0x67f44853, 0x66f62a44, 0x6d6723b2, 0xcca88375,
+    0x7136bc5e, 0x516a6dfb, 0x44bda89f, 0x8135bf19, 0x00315b75, 0x7de40589, 0x88efc90f, 0x7f0c455f,
+    0x99d4bd76, 0x400d479e, 0xa484465c, 0xedec49cf, 0xd592523f, 0x33010652, 0x74c49039, 0x4777ce16,
+    0xb69ad559, 0xcf97ec21, 0xbb178461, 0xbb62505d, 0x8e51e247, 0xebfbc26b, 0xa5162208, 0xe5066d97,
+    0xd6ecee50, 0xe34aa1c1, 0xbc3c4d9a, 0x034cecb0, 0xe307f3fa, 0x308b5b33, 0x0066dc25, 0xc169c62b,
+    0x9a83bd50, 0x19fefb76, 0x75bafd94, 0x350059c7, 0x2d181ad5, 0xda526d25, 0x38c1857c, 0x0e23c7ad,
+    0x1605547a, 0x3b0e4f53, 0x49584b28, 0x9d37ce1e, 0x8b2a0537, 0x9d7e3015, 0xe16d652a, 0xb7c7217e,
+    0xbb48a6c6, 0x7ef91294, 0x42cef70d, 0xf257382d, 0xae76dddd, 0x0c70fb6d, 0x5ba4c6af, 0xee0f2a3a,
+    0xf07a3804, 0xa544c8aa, 0x14ad388d, 0x2deb4ec1, 0xd168e29d, 0x61ec28b4, 0x884ebc4d, 0xda89a7a4,
+    0x1805ad1c, 0x45effd70, 0x644558bd, 0x1538b705, 0x3dd34c0f, 0x82d73e02, 0x6e78eaa8, 0x291e81bf,
+    0x5043a3a8, 0xa6f9c5fc, 0xb886be16, 0x4a4fbba0, 0x10a212fc, 0x56c0ac86, 0xc554abbf, 0xc5740a86,
+    0xaad99401, 0x85ae3249, 0xc5fbfa32, 0xb44d17c1, 0x7592ad37, 0x5b1b3d5d, 0x030d4e79, 0x3e6fbb78,
+    0xa1a53ef8, 0xb5ea7462, 0xfbbf69ff, 0x7b3f49b3, 0x83c1b08c, 0x0e2892ac, 0xba1579ab, 0x9fbe8608,
+    0x163b2f19, 0x200abc6a, 0x7b896b2e, 0x0a4de1a6, 0x63d540d6, 0x3fb5b998, 0x712dd11f, 0x595e3690,
+    0x516af9de, 0x99d882eb, 0x0963538e, 0xfa6c5306, 0xe4b75307, 0x1ea8fc65, 0x2ef0aeca, 0x047b09a4,
+    0x6845654c, 0x8b15ef37, 0x0dd54428, 0x3a8ec93d, 0x7b37ee2a, 0xaa3a3e13, 0x2fde140d, 0x8efac5a9,
+    0x60e1f52d, 0xb9457030, 0x237dee7a, 0x354a8022, 0xfe54e8ef, 0x0fc29c41, 0xd222b8da, 0x47b1f929,
+    0x817e8668, 0x1c9d6926, 0xbb83c09b, 0x03b036b8, 0x699fb676, 0x8cfb1393, 0xd4eaf11d, 0x4d5a10c4,
+    0xe89bc851, 0x3b157dff, 0x922858b7, 0x88bc11f6, 0x7d296e47, 0x1ac91b6a, 0x41324d27, 0x9a428ea7,
+    0x72e7fa5b, 0x6624b23a, 0x90bcf9ca, 0xc934cc5d, 0xa7e0aba8, 0x8fe1b6a4, 0xd84d1e8a, 0x9c160a34,
+    0x0a5f5f18, 0x8598c68e, 0x95fb89dd, 0x6b8ec142, 0xe14e256c, 0x048839ff, 0xef104471, 0x534ce1fb,
+    0xf265d657, 0x867698ca, 0xfcf2c22a, 0xc6645302, 0xa40d90c9, 0xa85040e0, 0x121bbab5, 0x9e5e89af,
+    0x6c5a7fbd, 0x40fc3061, 0x00b5f4c9, 0x0aa0009c, 0x9845f5ea, 0xe6f65cd8, 0xf6369e94, 0xc8acd51e,
+    0x61d2802f, 0x908735c0, 0xd2ae201c, 0x6a7a4da1, 0x44396df7, 0x1b4d0885, 0x469316d8, 0x39aa1ef7,
+    0xbed286ec, 0x42c46132, 0x91d638ab, 0x1c1f55a5, 0xab3f273a, 0xe1a6f1f4, 0x7872afdc, 0xf0cf8bd2,
+    0x86c20914, 0x3c3c87b8, 0xbf2de4b7, 0x313c2ae2, 0xd497cfee, 0x35b3d56c, 0xcdd4b6e5, 0xbe456e95,
+    0x7faa12cd, 0x9bb4259e, 0x3332151a, 0xed672042, 0xb8613d13, 0xbb023c17, 0x12947aec, 0x9723db9e,
+    0x04e18d6a, 0xc5eb1040, 0x44b0d200, 0xfdc5e771, 0x99152a7c, 0xf988e374, 0xfbdfb8d0, 0x5c1736a0,
+    0xee92e66c, 0x41c361a3, 0x5d38ab1d, 0xff371192, 0x6300604c, 0x01d3928c, 0x5ea28e0e, 0x6853c6ea,
+    0xc469eb45, 0xfd414708, 0xf7d1f8f2, 0x93ce14a9, 0xb7d465be, 0x025101c5, 0x7b9a611b, 0xf79a1cd0,
+    0x3136882e, 0xb3cb4bba, 0x6daa043a, 0xe83cb0b2, 0xb6630558, 0x74c4f6d2, 0xc65b59bf, 0x6b5f9e91,
+    0xe7125d3e, 0x6c75a1fb, 0x649cc64e, 0x2ed3fe0e, 0xec822065, 0x4096bd43, 0xb7595840, 0xf694cfed,
+    0x7ec72dd7, 0x9635fc04, 0x814001e4, 0x072a50ca, 0x9e977794, 0x2cb5faec, 0x851591cc, 0x78310f78,
+    0x6940d50c, 0x84c2e790, 0xc38efffc, 0x26d5f81a, 0x43d09dc7, 0xe424ff73, 0xd41e6eb3, 0x366fa0f7,
+    0x7fddfc6a, 0x78794911, 0x0b75d643, 0xc25458d6, 0x6dcea974, 0x20ad276a, 0xe615e731, 0x2a8cac53,
+    0xcd97ca73, 0x38bcd95e, 0x60edf8e6, 0xb2a018b8, 0x359509bb, 0x7d4851d7, 0xf6336698, 0x3485342c,
+    0x93df4fcb, 0x1cc3a840, 0x464efb16, 0x2b3fc427, 0x772e7475, 0xbfe26a68, 0xb3c536d0, 0xe9eb774a,
+    0x48b35780, 0x3197f8cd, 0xc25cb1e2, 0x3b7940d8, 0xe3ad9f29, 0xcb1ec780, 0x8f442efe, 0x6c1337df,
+    0x93856c0e, 0xa606acf9, 0xfed6a03c, 0x0542b422, 0x63840d30, 0x2bdc5cd5, 0xf2367e28, 0x580fb881,
+    0xdddb5bb8, 0xa71cca87, 0x508d9921, 0x2e571d58, 0x7b16b0a0, 0xa408d804, 0xbc7c6199, 0x93883a15,
+    0xf09129b9, 0x30b9c17b, 0x9d2489cd, 0x5ba85cf9, 0x74800701, 0xba0b35af, 0xdb71e4af, 0x56e991a9,
+    0xd0e78761, 0x2a3c07fa, 0xb9f74594, 0x4da7659d, 0x1a0e018b, 0x9d330d1d, 0x5c043fc8, 0xc28be05c,
+    0x9e93b9ab, 0xbd45a5c3, 0x6e186bd5, 0x6e32253d, 0x5c50b2f1, 0x5ad648f7, 0x59ba1433, 0x3a3a0e8b,
+    0xbdaa633d, 0x8c880fe3, 0xa3f50f02, 0x43491e30, 0xd289c7bb, 0xef61b847, 0x1a2487f1, 0x968fce5a,
+    0x8ab1a215, 0x5c1f46bb, 0xb43be646, 0xe2278ae8, 0xbe16e9ba, 0x71ff1e44, 0x8ae30a54, 0xf181f4bc,
+    0xf233bf05, 0x477a2877, 0x2ba2e961, 0x7d663ceb, 0xa4f2fbc3, 0x7e5201a5, 0x0ae10aa5, 0x9caed978,
+    0xe38d977c, 0xfcdefcfb, 0xe2049aff, 0x2b01c4ea, 0xe7d69ede, 0x228061e2, 0xf2344109, 0x006025d4,
+    0xa071c427, 0xade38e1c, 0x4fe774f5, 0xcdcfc3d7, 0xced2ff04, 0xf3869517, 0x92ec139d, 0x83a1cdab,
+    0xd8f1e03b, 0x51b04996, 0xd02a8093, 0x3b4b8d7c, 0xd99e3c9e, 0x804fab92, 0x83137b1f, 0x5e51f365,
+    0xcc065103, 0x031eb4b8, 0xa09e8483, 0x32bd3333, 0x9d363454, 0x91424a7d, 0xf8535a87, 0xeefa203c,
+    0x3af54ddd, 0x841f7596, 0x48f9a8b3, 0x3a93489a, 0x1b347eaf, 0xb370ec26, 0xa0caee17, 0x751970e8,
+    0x12952829, 0x6e3c9213, 0xcbefe8f0, 0x7e664697, 0x06366cd0, 0x37435f20, 0x26d5b6ae, 0xb5c77f2f,
+    0xe9b82b70, 0xf08a0acb, 0xd2c88f4f, 0x6f6aff15, 0xf11b0e20, 0xb42b1f10, 0xc19b4a74, 0x11a14281,
+    0x12105cc2, 0xcb8d42e8, 0x1cea9118, 0xf937e2d3, 0x0dbfb08d, 0xc2917ef9, 0x20707524, 0xdc7887c8,
+    0x6697bcf0, 0x65c58f72, 0x019092c5, 0x8619e788, 0x030ec586, 0x2681c3af, 0xa9a33090, 0xd5770437,
+    0x7b1fdc23, 0x807682fd, 0x35892120, 0x2a5fcfba, 0xb1c6b4e0, 0x29d39ca7, 0xdbd685b1, 0x599f4f3c,
+    0x22091f8f, 0xbe5ea90c, 0xe0687768, 0x68cca0eb, 0xde91ac8b, 0x93a5e2f1, 0xfc551aaa, 0x35320c34,
+    0x11cc9cc4, 0xf8f6dcfe, 0xbb5126a6, 0x0df26490, 0x94cbede6, 0x483ed8c8, 0x8fc4b035, 0xd5634bac,
+    0xbb226bd5, 0x17643677, 0x49b46d9e, 0xd34b3d39, 0x3215215c, 0xdd1b436c, 0xd6caf0e4, 0xdac1b85b,
+    0xa36cd329, 0x919dd8a3, 0x493a1855, 0xb7a48f53, 0x120b967f, 0x9e2dfeb5, 0x9354aab8, 0x6e7a9d92,
+    0xe3acbff1, 0xef6ef16f, 0xa967a046, 0xec9e2a12, 0x0383843d, 0x74c7e12f, 0x556b6043, 0x1f5cb2c3,
+    0x590c79bf, 0xf5f99522, 0x3c41c8ae, 0xffd8b030, 0x33e32115, 0x7ff81f01, 0xb61f2732, 0xf080747b,
+    0xb0fe815e, 0x1baa5964, 0x05150ef5, 0x808d3d64, 0x2d0f5982, 0x5bee52cc, 0x0f403efa, 0xb4470b44,
+    0x1ae00edb, 0x22504fb1, 0x60028571, 0x5b931e3e, 0xdf2ccda5, 0x22419d57, 0xc66beb92, 0x34d92d02,
+    0x9db12b37, 0xbad9795c, 0x5790dad0, 0x7b812c9b, 0x4a2e8880, 0x87724051, 0x43a6ba3b, 0xb260eb19,
+    0x47bc911f, 0xdb46a8a5, 0xdf5b9e5b, 0xa0024360, 0x9f962ed8, 0x3e6265a6, 0x1e1f0307, 0x7a958f26,
+    0x03765f6a, 0xb8323509, 0x76f92a9d, 0x0e6878d0, 0x4a3eedbb, 0xcd19fead, 0xe23757cd, 0xe8025b5e,
+    0x9bdd4df7, 0xb4c71834, 0xe9332448, 0xdbfc528a, 0x209b49c1, 0xa2bf8ce2, 0xd6ef14cf, 0x1967792a,
+    0x8bf67ad6, 0x6451468f, 0x5b24a62a, 0x47eb9c78, 0xf86f7752, 0x8cfb6aeb, 0x96ba0c51, 0x5736d080,
+    0x257ce994, 0x57e1c47c, 0x0e4252b8, 0xa0b20de2, 0x10429ff6, 0x82f5a25e, 0x5fcb942d, 0x39791e48,
+    0xa6e62396, 0x1b8c998e, 0x5406b537, 0x962f2610, 0xd1fdc452, 0x5d9f4676, 0x29d710f8, 0x246f777c,
+    0xb8a90462, 0x5f478c95, 0x1ddd3fb6, 0xb5bf4500, 0x6ba620fa, 0xe64ac1ff, 0x6b03f6a5, 0x3714b20c,
+    0x5f79af45, 0x35b1f769, 0x803b5387, 0xab37d5e1, 0x8e6f93c2, 0xcd61b5cb, 0x6a161958, 0x196f14be,
+    0x7e78d812, 0x2df4e161, 0x2b9bd9cb, 0xec7c6dc3, 0x1415329e, 0x6e0413f3, 0x4623607f, 0xa33862b6,
+    0x3b97e9f3, 0xfb6418d3, 0x244d29ee, 0x5034c817, 0x9216b51d, 0xa552dba4, 0xb902985a, 0xf5d3a303,
+    0x5af9e06e, 0x99869196, 0x4dc40166, 0x7b6906f4, 0x6dc21959, 0x11612bcd, 0xbdad1fe2, 0x7a34d179,
+    0xd5a47562, 0xa2410a65, 0xf07aeaa5, 0xf5921f58, 0x39a9dea4, 0x310fc815, 0x15df451a, 0x9f87e9c8,
+    0x2d1b01fa, 0x91ef9661, 0x026aae26, 0xe137d41d, 0x95e72e32, 0x048e80f0, 0x4534b7c0, 0x6524e4f9,
+    0xeeecf9f5, 0x6a51d634, 0x65b4d614, 0x13783e70, 0x6427e6c2, 0xdea6945a, 0x0b88e06f, 0x4f229f16,
+    0xf1b1047f, 0x964ff0db, 0x1b183298, 0xf901c0f5, 0x19d17fd8, 0x6ae75353, 0x76f55912, 0x82daea06,
+    0xfc75629c, 0xf59afa01, 0xeb498d42, 0xa8a1907b, 0x0728f21d, 0x5cb4e68c, 0xcc88a02d, 0xdb582ca0,
+    0x3acfab59, 0xb5a8dc2c, 0x15c261e1, 0x84b33222, 0x05f4bfc7, 0xfde839bf, 0x2aafe995, 0xc1cdfaf8,
+    0x00000000,
+    0x05928124, 0x0db6a048, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000002658455991569831745807614120560689152 */
+  { 0x00000000,
+    0x6ba2e9fb, 0x6594a2be, 0xe44e61ac, 0x51eb7948, 0x23a947c2, 0x9b999e92, 0xb08bfc5b, 0x22e85bf5,
+    0x2b15db60, 0x9f957e9e, 0xb44e93dc, 0x1a31a9b8, 0xe6cf30f8, 0x241a16d5, 0xe8117611, 0x90b01d3d,
+    0x5b83088b, 0xbe5a414f, 0x5cd27ee4, 0xc729aaa9, 0x8a73750f, 0xab4ff65b, 0xada0f937, 0x6bdeb811,
+    0xe1cd59ed, 0xb201b821, 0x6a90f195, 0x3b830fde, 0x9fbd4b4f, 0xdfe3de58, 0x92afdc12, 0x00a55733,
+    0xd30a5185, 0xa797ab38, 0xaab2decb, 0xb8843fc7, 0xb3d9c77d, 0x87b1b836, 0x5c1c1305, 0xee6577fc,
+    0xdb85766a, 0x46897c2a, 0xdb215dc4, 0x06ef8ff4, 0x114dacde, 0xb5da101e, 0x11699ba4, 0xca32c645,
+    0x28706614, 0x96ba8b06, 0x3386995b, 0xac0a08cd, 0xf599db0b, 0x7c156b95, 0x3c85e92a, 0x78cf5018,
+    0x32da2943, 0x494c66b5, 0xd4a3ee30, 0xbeb3c21a, 0xace7b027, 0x98115d10, 0x5cde467e, 0x1d00a603,
+    0x23a4db83, 0x4b9c81e4, 0xc0ac1248, 0xcc733356, 0x006ad7bc, 0x6f089d1c, 0x5108e3ed, 0x4807e8cb,
+    0x194c514b, 0xdeba1752, 0xf1c44190, 0xd861d806, 0x32cb6c05, 0x423934c3, 0x400c1919, 0x989bb249,
+    0xcf139553, 0xe39dc484, 0xbafe0759, 0x73de1b17, 0x06d75ba3, 0xc93f7ee0, 0xa1b44de0, 0x671014d7,
+    0x4f2c9a5c, 0xcdb2f435, 0x82d659ee, 0x651c3230, 0xd5385de3, 0x0b694e06, 0x42121d84, 0xa7348222,
+    0x02cf0793, 0x1abfe535, 0x805c463c, 0x4a33762a, 0x8d894b68, 0x38caee20, 0x0c19e59f, 0x8fa535d0,
+    0xe757eafc, 0x5d2e11c1, 0x5a379bbc, 0x424f88a1, 0xafd20ae5, 0xe6f58735, 0x9862f886, 0x3f310fec,
+    0x56bece37, 0x57aada69, 0xe322548c, 0x4e3f8c72, 0x3e9ae8b8, 0x069c5ff5, 0x16ca79ae, 0x06f86bc4,
+    0x34252745, 0x4cfc823d, 0x74618b6d, 0x50fbc628, 0xd428bd09, 0xde775462, 0x9d5479b5, 0x811cdf6d,
+    0x353e0e20, 0x8d9e2fdf, 0xd9b63542, 0x1152c7bb, 0x41aef893, 0xe7db64f9, 0x73bad184, 0x20484796,
+    0x778b039f, 0xf40b47c8, 0x183e27ab, 0x5495ec8d, 0x10c5ad6d, 0xce1927ff, 0xd28fb57d, 0x2b4b48ce,
+    0xa4b441b2, 0xd95a1d0e, 0xb163de28, 0x5656433a, 0xcb6ad322, 0x3214d996, 0x32bc2397, 0xffc6fed0,
+    0x4089ba24, 0x144541a8, 0xaef6c998, 0x40c25ab9, 0x78453186, 0x9b05e016, 0x588bc0f9, 0x49a97f05,
+    0xbb862294, 0x8fbf8150, 0x703fb243, 0xc2550a0b, 0x4d32192a, 0x3702141b, 0x0b1425a2, 0xeca2aecf,
+    0xc6d3ed51, 0xc4283171, 0xfc0ff57c, 0xd4f4c062, 0x53d376b4, 0x6dcc92fd, 0x46011b44, 0xf7c60cc9,
+    0x8650e987, 0xe44b7a2e, 0xfd604218, 0x7674adfe, 0xf003dca0, 0x2f13a5cd, 0xa99343a2, 0xe0bd6bea,
+    0x4aac730c, 0xfa5ad8db, 0x2f99f58c, 0xd87dc4b0, 0xb18f343f, 0x354fdef8, 0x229f1bde, 0x5f3f7203,
+    0x61c08807, 0x695dd05a, 0x55356186, 0xa42e4479, 0x09b53438, 0x7958dd7c, 0x4c6c6fea, 0x90c62d3d,
+    0x0957021a, 0xb806ec50, 0x8b0da370, 0xe081eb02, 0xcddb729d, 0x5f403d20, 0x2ebb0260, 0x11af4210,
+    0x78499911, 0x4371c871, 0x42d70c29, 0x66e701c3, 0xb285d652, 0x69d1daae, 0xc679d6cf, 0x6b5792f4,
+    0x949431c4, 0xbd9e5499, 0xfab310c1, 0x971cb5fd, 0x051faa99, 0xc52ff381, 0x28123ff6, 0x19fb2922,
+    0xfa648e30, 0xd8289aa3, 0x5eec3b65, 0xb27f2bec, 0x848774c6, 0x62ad7d7f, 0x832239d7, 0xa006b66b,
+    0x03d96a31, 0xf2e238f5, 0xb3aba292, 0xcc292959, 0x3f74cfad, 0x51c5f5af, 0xbeb009a8, 0xe44e7ffe,
+    0xe842fb29, 0x43fbd5b9, 0x0998c5f9, 0x550f5ae0, 0x125cc743, 0x4d21f471, 0x57c8f128, 0x04ff5319,
+    0xee52a83a, 0xc52c0621, 0x08a3a04d, 0x6a9b131f, 0x6cf23e19, 0x3a41f6b2, 0x9097d2cf, 0x8ae379f5,
+    0x59eb5a8f, 0x1f54b09b, 0xd33abfb4, 0xaad945dd, 0xfe02e936, 0x78dcde72, 0x8df39544, 0xc66464d9,
+    0xe3b2e643, 0x46d07f4d, 0x1edebd5f, 0xb49a5925, 0xf0308d25, 0x609c1aa2, 0xe87c6210, 0x4297ae5f,
+    0x3c85013f, 0xc4038608, 0x665710c2, 0x6feb469d, 0x168f580d, 0x92e83adc, 0xc53c8e51, 0x4ef68114,
+    0x1bd684ed, 0x199016b0, 0x89b639f0, 0x722a14c3, 0x589398e6, 0x39117049, 0xba540470, 0x7155023d,
+    0x7af139cb, 0x2dc9ed07, 0x02796f9c, 0x6f91b166, 0xf405dda6, 0x23be755b, 0x94bd260b, 0x2e9ac43f,
+    0x87224e1a, 0xa2fde4b0, 0x9866f9b9, 0x079d259e, 0xe1e18e1c, 0xf31450d1, 0x494b08f5, 0x90ac5b4b,
+    0xc8b26777, 0x814868d7, 0x4887a530, 0x36c5017f, 0x53063af3, 0x17d95f56, 0x60e16a75, 0xe9aba0f3,
+    0x4cba0a49, 0x418d7ad8, 0xe860c2ca, 0x2581329a, 0x1744c626, 0x952e7b72, 0x603fa97c, 0xaa47a959,
+    0x56096f4d, 0xfcf720d1, 0x1ed4a8eb, 0x53bcf67d, 0x48132635, 0xf96211cb, 0x39d954e1, 0xf89474f6,
+    0x49cdc76c, 0x5aabc964, 0x3b1111d0, 0xa86625d6, 0xc494a404, 0x4ee3bd24, 0x8cd25721, 0x7c94b1d2,
+    0x5316a5af, 0xc8b73d5a, 0xc8104b61, 0x4806a8cf, 0x46e0fc7d, 0x443f430c, 0x29f4dc97, 0x455b64da,
+    0xdca89334, 0xa3231ec8, 0xf8ef1527, 0x3f193af0, 0xcb752f89, 0x40b5d8ba, 0x5343b92f, 0xab1d3d63,
+    0xd721f4d7, 0xe17f6917, 0xbea58ff2, 0x23dffa4e, 0x54a50cad, 0x8b8b4a4c, 0x84f4ee6f, 0x6832e10a,
+    0x6501018e, 0x4332e18d, 0x9e7062a8, 0xd88ed44d, 0xed37954a, 0xf640d7ad, 0x373c02cf, 0x0581f551,
+    0x3165a892, 0x8f61bb70, 0xe5dbd1af, 0xd84c9929, 0x34032be8, 0xc75fb5e4, 0x02526fd7, 0x7a215267,
+    0x5f4f0fd8, 0x3e2fedb1, 0x9151c00f, 0x661c0e9e, 0xc4b18a0a, 0x3d1c5127, 0x1b15784b, 0x41ff2ffa,
+    0x99245d97, 0x17a7fe64, 0x936fbbd0, 0x229981b8, 0xe14b00a5, 0x4cf3cc24, 0xe64f0ec6, 0xa055321a,
+    0x36413e95, 0x30c1f399, 0xb8c7cd99, 0x5f14aa4a, 0x4a51db11, 0x746f2a2e, 0xa3418d76, 0xd05d4f93,
+    0xaf1bc881, 0x43bf4ebb, 0x7dc595cc, 0x18979ccc, 0xfc5c1436, 0x4859186c, 0x93d3f596, 0x8214c2b5,
+    0xe2b7b033, 0x82e775a0, 0xa7d82c36, 0x6ba046a0, 0x3c229c14, 0x4b733a5d, 0x0e9aa582, 0xc0b0ce05,
+    0xd7fc7122, 0x2cbce3c6, 0x697eddc7, 0x4d90a9d9, 0x5ee3603a, 0xf4776717, 0xfc4ed12d, 0x95882c7a,
+    0xf5bc378f, 0x58937cbd, 0x4df185b6, 0x6b30dbc5, 0x4933dc93, 0x978fb8a6, 0x73901ec6, 0x13f6f137,
+    0x17cb4bf8, 0x3839305b, 0x2db4470e, 0xb781e6b0, 0x2a455355, 0x8397b25e, 0xaf2a413c, 0xea068510,
+    0xdbfa7ad7, 0xed7597dc, 0x8501bd19, 0x0ece9447, 0x57e7f239, 0x566f7052, 0xd8d326d9, 0x167302a5,
+    0xd3dfb536, 0x5333e8e1, 0xe4ed3a7d, 0x7451900f, 0x2670fbb4, 0x3fd49124, 0x4c42cc5f, 0x16910f1d,
+    0x8233f9fb, 0x7b6fb585, 0x86b8b668, 0x211969de, 0x1647b6d2, 0x5f52f019, 0x610fa9ad, 0x258999b0,
+    0x167d5693, 0x0788f85e, 0x854d7a6a, 0x3e622d12, 0x40dbba96, 0xbcf738c0, 0xb645e245, 0xde74fc35,
+    0x42c19071, 0x51deca03, 0xba3b04da, 0x8c1308bf, 0x3087248c, 0x64c6e16e, 0x3823e320, 0xeca98c3e,
+    0xd5838205, 0x48f430c6, 0x2bb9c6d4, 0x59fe3674, 0xd4c7be93, 0x87b3a31a, 0x311813a4, 0xf76b7a80,
+    0x6a708ea6, 0xb03d8a92, 0x553a98f1, 0xcb49bf6c, 0x5481d724, 0x51466907, 0x034a6da4, 0xcc3321a0,
+    0xa2963390, 0x8e7c2b83, 0xe20abd85, 0xb4b55708, 0x53a61cca, 0x96b44aaf, 0xb17ff1f3, 0x6f4d11a0,
+    0xc2fa3449, 0xe504156d, 0x1e62bc79, 0x1c664d3e, 0x4b583d87, 0x554e6aea, 0xc127e9ec, 0xcc4c3ea9,
+    0x30925557, 0xca640a33, 0xca887204, 0xab94a1f5, 0x914c35c0, 0xb9d8f4d6, 0xcfdbba7c, 0xcd7d7ec9,
+    0x2025ae38, 0x1d6eba93, 0x0e97bbd8, 0xfa1d1d45, 0x396f1796, 0x305003aa, 0x398dce16, 0x68dcb07b,
+    0x28685664, 0x44c74482, 0xfc20a6be, 0xfa6c739d, 0x9d2a88f6, 0x871f8287, 0x47a39b30, 0x730ca1e1,
+    0x959b648f, 0x9fed4acb, 0x483c3c63, 0xf9ae89f0, 0xbfcf76fc, 0xbdd69d39, 0x8586a1eb, 0xa1cc93b3,
+    0xde5c4f4a, 0x06ec6a36, 0x38ff41e1, 0xd66645b8, 0x443de8c8, 0x9d32bef2, 0xc99c1d35, 0x8b48b23d,
+    0xbb538b88, 0x7ad919cc, 0xfe5c4785, 0x6fcd291a, 0x0a8d921d, 0x1765466b, 0xa4ba50be, 0x5143b2ab,
+    0x336a70b7, 0xd12fec33, 0x2a3b00f7, 0x2533cf94, 0x24fe8737, 0xc559411d, 0x14c35241, 0x6e124efc,
+    0x297d8a4c, 0x6ece7526, 0x917f655a, 0x69bd9367, 0xc75aebb1, 0xc5f61e59, 0x3ef3f651, 0x6048b543,
+    0x99b42204, 0xe7d48c2f, 0x91895e31, 0x5d0fc4cc, 0x605a50a3, 0x624a4be0, 0xa33d3c02, 0x19527e7f,
+    0x7db9ca5e, 0x46fb8917, 0xc801685c, 0xea15816d, 0x4413d797, 0x6de10f7a, 0x55a4f26e, 0x8e97537d,
+    0xfcc43597, 0xaf357671, 0x2de7d71b, 0xaa4ba2fc, 0xfa2d7c78, 0xf86a70ab, 0xad91a496, 0x641f81c0,
+    0x0b05bc34, 0xc77372a3, 0xf0a78800, 0xbfc99f05, 0x05dfc9bf, 0xc57ac735, 0x0942b15e, 0x8ebc1354,
+    0x97312c7a, 0x67dc6a9f, 0x3e69e2e9, 0xb821eeb3, 0x05e96333, 0x729a273e, 0x627f96a4, 0xd2f925c6,
+    0x5c509b7a, 0x77191fb3, 0x54f66e3e, 0x1f3ca7c7, 0x18475beb, 0x000d05ec, 0x6e7dbdfa, 0xb82e3bda,
+    0x2e480c59, 0x058d4465, 0xb482b64b, 0x8ae05827, 0x38eaebd0, 0x20b0685e, 0xe48c25ed, 0x7e1d9f1a,
+    0x52daf05b, 0x52add2d1, 0xa88c6bab, 0x4bd4fb6b, 0xac575d37, 0x7e630834, 0x05492163, 0xf6cc85d2,
+    0x4c07f3ee, 0x97171ca5, 0x3ad282fe, 0xe3f539f7, 0xb0f4855b, 0x352fff66, 0xe5c46812, 0x0f25eaaa,
+    0xbc935577, 0x4244bd28, 0x4f9a03dd, 0x296ae174, 0x51cbd008, 0x92efc81a, 0x03a77f75, 0x0189adb6,
+    0x32fa7c7f, 0xed1ba754, 0x10e46491, 0x5191e596, 0xc04c1ef0, 0x8f81360e, 0xb78a1812, 0x7d19146b,
+    0x6322c60f, 0x0d22e5fe, 0xb852a196, 0x0e930c32, 0x92b45be4, 0x63bf2d0e, 0x8f198c3e, 0xb299089a,
+    0x8ea7a235, 0x60748bdd, 0x5c562bdb, 0xfeebc377, 0xd85aeefb, 0x794326c5, 0x74fc7278, 0x6f9883af,
+    0x73f742d8, 0x658cbbfd, 0x24c0d872, 0xc473f856, 0x3cd3f65c, 0xcda3a822, 0x607e4766, 0x94c5b64b,
+    0x2fcc205e, 0x8ff104b8, 0x70ac628b, 0x3716d3b3, 0x4b79c2fd, 0x4e3463c7, 0x19167ed1, 0x5e06f837,
+    0xc13dece3, 0xcc933e88, 0x828e0ec1, 0xa49b441a, 0x6c8fe49c, 0x6562693f, 0xb7eb42cb, 0xacf9078a,
+    0xf15014f8, 0x208a738f, 0xa5e6a84f, 0xb3a28c4d, 0xf02b1b13, 0x26e0f685, 0x9272d902, 0x6e6c5a18,
+    0x0d7842ac, 0x30e38041, 0x167d7cb9, 0xf5290e21, 0x5c8b971e, 0x2c2e75c8, 0xd1b2e058, 0x50659f1e,
+    0x40b530c9, 0xde20cd2c, 0x463c7897, 0x890c886c, 0x87e81c38, 0x6166d334, 0x51fdc816, 0xb75c1602,
+    0xc3bca41a, 0x042696f1, 0x5735acb1, 0xa98341d4, 0x9b4d61ea, 0x28e4de35, 0x5a0e32e9, 0x18e380dd,
+    0x64dc01ca, 0xa4e58e8c, 0xf2dc33b7, 0x9903fdc5, 0x20d18f68, 0x4f7fdedd, 0xfeb854e2, 0x09b86cdc,
+    0x2bab8812, 0x22d7b310, 0xd8a9a7ea, 0x16dedc5c, 0x2ada0cb2, 0xd9ab3cf1, 0x82481ac3, 0xcb8755f8,
+    0x0e666190, 0xa230507f, 0x0e88c4d7, 0xce9ebd1d, 0x67bef156, 0x78f9e3d2, 0x850aeed8, 0x4763eb69,
+    0x9305f439, 0x229f993c, 0xef628558, 0xfc999a51, 0xf6dbee3b, 0x758d66bb, 0x39071124, 0xd52ef52e,
+    0xd5de17f7, 0xfafbd630, 0xc6dd90c7, 0x2c4949e0, 0xd6bbe0a8, 0xfece47fe, 0x1af17ceb, 0xa56938cc,
+    0x4885acbe, 0x49644558, 0xda50eee4, 0x13467fea, 0x78e8c0cc, 0x04f2a402, 0x7d2205dc, 0x68018140,
+    0xd208f028, 0x360eec17, 0x171c8086, 0x59ea2e2f, 0x71bc7d50, 0xbcffe19d, 0x565e1d51, 0x12b10d25,
+    0xf7751344, 0xd70625d0, 0x98426f6b, 0xd334e896, 0x6d51112d, 0xcd26a898, 0xf2253185, 0x319d4bd9,
+    0x3046f458, 0xba064235, 0xe1b6eaa9, 0xf41ae4d8, 0xdbaee7b6, 0x9df3c108, 0x84fe2aaf, 0x0b2ff05e,
+    0x3d1b56ba, 0x6b2dba4a, 0xcaca6e24, 0xdd96bf4e, 0x5d448f1f, 0x330140ae, 0x8e1839ac, 0x957b2e1c,
+    0x303a5bc4, 0x27538afc, 0xf3fbcc23, 0x81d9cfbf, 0xe7f5c604, 0x9cce1bf5, 0xa3f73df9, 0xe9f5468f,
+    0xdac00a07, 0xd29065c8, 0xed97ad85, 0xffcf1f37, 0x06db33a6, 0x79d0ea96, 0xa0796ed9, 0x4dd4ae3a,
+    0xb4a48466, 0x554e8ba8, 0x3732f11d, 0x569de84a, 0x98e7e8aa, 0xdbabee7f, 0x9d21ea18, 0x24040a92,
+    0x925e0b49, 0x8253e1ec, 0xfbd93cc6, 0x8d2f1e44, 0xadc87eb0, 0xbcc75796, 0xdee05e4e, 0x759b639d,
+    0xd8619662, 0xa1e355d8, 0x21372293, 0xd9282d40, 0x5aaefa55, 0xdb304f26, 0xbabbbacd, 0x4a47d4a4,
+    0x789d88a9, 0x8247b640, 0x1e803f94, 0x0b9d0736, 0x71b91b51, 0x7fd89f98, 0x31a180b7, 0xc288104a,
+    0xb98903b7, 0x86d6b375, 0x39062cc2, 0x4dcb19df, 0xfbec7ef5, 0xc772cdcd, 0xf085239b, 0x3cdc28fb,
+    0xc1b6ae24, 0x58f7dfb1, 0x16b209aa, 0xb5f95cb9, 0x9821d02c, 0x6c685c51, 0x5fbd693d, 0xe09eebe0,
+    0xd71e8a0f, 0x2afde70e, 0x3265cfa7, 0x3117fcc1, 0xf791f798, 0xef6e7c90, 0x9d7009dc, 0xde4ab61f,
+    0x717a1274, 0xfe137739, 0xc1e7f521, 0xb7d21bf2, 0xbe4122ea, 0x019f79ad, 0xded2ce79, 0xe3022ebc,
+    0x162b9f0c, 0x918fa570, 0xf85f8eea, 0x4ef82579, 0xdf9581fc, 0xf49a1b24, 0x0a2a9c6c, 0xcfd3820f,
+    0xc7bc07ac, 0x15f0a415, 0x6841d2a2, 0xca89a37f, 0x067c0827, 0x5b9470a5, 0xdeb84ca1, 0x1bcc1fad,
+    0x1b80784e, 0x254c84d6, 0x837ea045, 0x542b2612, 0x672a2510, 0xc1047637, 0x57a89ccf, 0xa35cb45d,
+    0x5e6a295d, 0xcd75010a, 0xa4bc1d37, 0x5384bfcf, 0xadeb8e8c, 0xd8a93060, 0x420531e3, 0xff026ada,
+    0x352527a8, 0xc3d62225, 0xf29cc4b7, 0xd93f877a, 0x69d0ab4e, 0xf63a6793, 0x78665b85, 0x574c9cf1,
+    0xac91d4ca, 0xb1903379, 0xd6bb87eb, 0x85fe5245, 0x35021770, 0x53a01f0e, 0x0a4d1459, 0xe497f4f9,
+    0x65e4f879, 0x0b5278f2, 0x98403d2f, 0x305bd03d, 0xc92d0d0d, 0x62706087, 0xdcb1e63b, 0x0d7f08b8,
+    0xd3c0029a, 0xe575dd2d, 0x0107ab62, 0x203778ea, 0xb9f07a68, 0x92a6eda7, 0xb7621f97, 0x08392b08,
+    0x8fc48d01, 0xaafca392, 0xb2f7cb15, 0xf64755fb, 0x67be10e9, 0x796ccd24, 0x32511c07, 0xa18af749,
+    0x3fc72f1f, 0x5d039dc4, 0x0ba688a2, 0x568ed1aa, 0x8c6c74a0, 0xa1893f98, 0xb9c819e7, 0x6906eb83,
+    0x1911c1a0, 0x75a5ebed, 0x8a92ae3b, 0x65cd44b1, 0x9240c45b, 0x6cbbf833, 0xde27d59b, 0x66b5fed0,
+    0x7e995c46, 0xc69965a3, 0xe125804d, 0x9c9e8b8b, 0x4e916502, 0xeddf9824, 0xa0038a87, 0x24b453bc,
+    0xc99ee310, 0x7f3efef8, 0x645406b3, 0x07a78564, 0xf8cca619, 0xe5d6f93d, 0x5b98a1cf, 0xc92af67e,
+    0x5671f431, 0xf0e682be, 0x8ec84eef, 0x868d7ef3, 0xd6435511, 0xa570de48, 0x4aab4518, 0xdebdf108,
+    0x00000000,
+    0x02c94091, 0x06db5024, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000001329227995784915872903807060280344576 */
+  { 0x00000000,
+    0x84699b98, 0x1b6cf25a, 0xb17bd901, 0xe1425abc, 0xe2f23300, 0x400a5751, 0x5b9a76dd, 0x88eebf8d,
+    0x16e94c43, 0x17d66a54, 0xf309e7bb, 0x7166c104, 0x1b59d1ca, 0x938260cd, 0x60e1ddac, 0x45bd9d60,
+    0xab990d1d, 0x54b91555, 0x28f4ce22, 0x9106e1d0, 0x3a7672f7, 0x4b816a9d, 0x02ae1ff4, 0x47c114a9,
+    0xd415775c, 0xd761d9e7, 0xcc9c25aa, 0x1309d7f1, 0xc2476cf8, 0x30a07cf9, 0x42d1d605, 0x03f6f600,
+    0xb02c6ccd, 0x64644d65, 0x10ea96fa, 0xfd472022, 0x411e5adb, 0x3e14c3a0, 0xe5688828, 0x4bc80cce,
+    0xcc472991, 0x7d66f8d7, 0x4265cf30, 0xa2720501, 0x7fcdf09c, 0x9ff0c74f, 0xe14f1150, 0xf6142edb,
+    0xd6a5629d, 0x20637147, 0xb07f9acc, 0xcdc8c64c, 0x7279d359, 0x5869c520, 0xfcb5e31f, 0xb991a472,
+    0xe90e1dd8, 0xe858ffa6, 0x0e466798, 0x329f64fe, 0x396c11ab, 0x30fbdcd4, 0x6ffe46b4, 0xc231b3d1,
+    0xf4824c75, 0x7e2ede4e, 0x9dda0196, 0x7a27eafd, 0x2deacdd2, 0x2cbfad04, 0x2cb2f46b, 0x50ded415,
+    0x102893d7, 0x1382f7d4, 0xbb3a82a4, 0x8114519b, 0xbba574c2, 0x6911a909, 0x46b69c33, 0xb73b3d09,
+    0x13424577, 0x86ead892, 0x5e6053d0, 0x497deb7c, 0x63f0eae4, 0x7be228fc, 0x168a72cb, 0x1bc8d3e1,
+    0xc0399895, 0x536fdecd, 0x6b330072, 0x0f445dd2, 0x3540f41d, 0x670141e4, 0x32ea75b6, 0x15671996,
+    0xf46112e1, 0x556a7913, 0xa827199c, 0x94fe7e49, 0x4a4932f2, 0x176ceed1, 0xddfacb5e, 0xf2bc7cd2,
+    0x9ae48785, 0x0b49f64b, 0x35c71dec, 0xe82a6d5a, 0x63c6447f, 0xb4c8e4e1, 0x81a876bf, 0xaf66e811,
+    0xda92ebfb, 0xe7ccfd18, 0xe058e33d, 0x0c22cf90, 0x809f69e9, 0xe2b8f457, 0x8e9db147, 0x7fc1912b,
+    0xb11f52e7, 0xeacf8010, 0xff7b1600, 0x3f35be81, 0xf7e63ee8, 0xea79c66d, 0x7c39b499, 0xa844b49c,
+    0x4eec7f08, 0xb7943741, 0xc269deec, 0x32a02f68, 0x5eaa8761, 0x777acbd3, 0x284615f3, 0x930ef6c5,
+    0xb5d8e6d9, 0x59e6517a, 0x61508bd3, 0x9b7c851d, 0x1df72da3, 0x63a350c8, 0x25d44cdc, 0x2d30cc07,
+    0x881e3214, 0x26db1b8d, 0xe08ddde3, 0xc0f47590, 0xeba6ed7a, 0x2fdc6249, 0x38cf6d9a, 0x4313e401,
+    0x1c5a81ad, 0xa50ebeca, 0x561b86bd, 0x28bbe3a5, 0x9d574a39, 0x0dc73ed5, 0x199c2566, 0x69fe38ff,
+    0xeba561b0, 0x18ef054a, 0x367a130b, 0x3a1001ce, 0x94928e6f, 0x1a0b6e7f, 0xc5a5d4a1, 0x965ff280,
+    0xb1d4e163, 0x4ba989c3, 0xc39ccb69, 0x69552635, 0x1f5becc0, 0x2163c920, 0x31c974da, 0x51be2dbc,
+    0xc36b3216, 0xd37876ca, 0x0508dea7, 0x0c77953a, 0xca2cb5f4, 0xdb297bc0, 0xe8a89500, 0x167d0dec,
+    0x14453961, 0x10f948a4, 0x356bc419, 0xf10af102, 0xfd06b161, 0x2cf498d7, 0x1c887643, 0x11d8a77a,
+    0x7366afc8, 0x43349011, 0x1e51aaf0, 0xe9f34169, 0x5e9e743d, 0xc35f539d, 0xa087d6d4, 0x6b34cc38,
+    0x2f7b2c0a, 0xae993567, 0x23375107, 0x18adc742, 0xda0ff7de, 0xb4865f52, 0xae05fa79, 0x54d24a72,
+    0x80eb412f, 0xa254518c, 0x4e8a5070, 0xfc40884c, 0x2d49a9ff, 0x1b12fe7a, 0x8ae2641a, 0xa06dbdf5,
+    0xfb773edf, 0xb2d678b4, 0xb7026e31, 0xa7309511, 0x76c090eb, 0x628d8be8, 0x88a19b49, 0x4abf0068,
+    0xade0c6df, 0x0e16dc61, 0x99d918c6, 0xa79de001, 0x87c60623, 0x839c9a46, 0x9c1fc0a1, 0xd3eb9687,
+    0x0654c982, 0xf1488474, 0xa14b3336, 0xea3cf128, 0x9a4a79cd, 0x15c3c8df, 0x580fa24e, 0x2654a961,
+    0x25c411e2, 0x5fac7374, 0x76e17b3a, 0x8d91bc05, 0x2a6f4b7a, 0x8df41869, 0xa939d1bc, 0xdadbc31a,
+    0xd0e47318, 0x6b8d703c, 0x3ac2fff3, 0x3f1d010c, 0x15297158, 0x03f5b20a, 0x212fc09c, 0x372052fe,
+    0xd1f63bfe, 0x41f0b66b, 0x91525fde, 0x555afbc0, 0xd3081b7f, 0xbd887755, 0xba6feece, 0x5a1bbbc0,
+    0x69e09310, 0x6affdcc6, 0x2bbce1b7, 0xa8792979, 0x540643c6, 0x8b2003fc, 0xeb2c6109, 0x98ecfdbe,
+    0x58578591, 0x9573097f, 0xba8790f1, 0xfaabeb56, 0xe2139ec6, 0xb9fee3ee, 0xb8b4a24c, 0xb0a3f7f9,
+    0xf7262b24, 0x63691f90, 0x2a1ee3de, 0xe29c02fb, 0x6bdb6e50, 0x1347f2ec, 0x8dab788f, 0xb7b74a9c,
+    0x38bf0ec0, 0xa6dedfa0, 0xffb892e6, 0x4fd6c3e8, 0xb532fae9, 0xaea28edb, 0x98d1c5a9, 0x73a19838,
+    0x5c86ce7c, 0xd5f5a06a, 0xaceb8280, 0x438c56c6, 0xcb76f878, 0x2721beca, 0x29391069, 0x39f3474b,
+    0xe0a4a528, 0x4cb9cc8d, 0x9c049b8e, 0x753b4d2b, 0x562f8c17, 0xb510785e, 0x2a0be21b, 0x9e3e8607,
+    0xf051a617, 0xa4a127bc, 0x0f087de9, 0x9f588adc, 0xa1c97e46, 0xe2e312af, 0x85ee4736, 0xc06bc5e2,
+    0x5561e4cd, 0x84bc344a, 0x95d3c8e5, 0xda95bfbc, 0xcd271eef, 0x88541437, 0xd67bca6a, 0x5bb4b3f0,
+    0x85935cbf, 0x5a55a2e4, 0x109cf503, 0x439efc3d, 0xfdc718e4, 0xb9e29737, 0x6d9cfe81, 0x3490824f,
+    0x7c7c96d4, 0xa54fc5db, 0x1467e2f2, 0x7962d201, 0x5228b7ae, 0x90e71436, 0x64748057, 0x814e27bb,
+    0xf728d0f7, 0x93ab1702, 0x5d4e63f2, 0x8c9077c4, 0x8fd64fbb, 0x39fe3b6e, 0x7c195abb, 0x260d8cc7,
+    0x8e1f39ef, 0x19966f0a, 0xaa894a3e, 0x199d3483, 0x51bd8d7c, 0x9a95c753, 0x2d9e2c39, 0x7fa25859,
+    0xb4af9331, 0x144bd50f, 0x3e197208, 0x20683765, 0x26a22187, 0xc51fb563, 0x99096893, 0x9f8f7daf,
+    0x26c32fc0, 0x087d2a6f, 0xdde00054, 0x3f3a0417, 0xc333ad80, 0x66c1299e, 0xbadb38d0, 0x56cd7357,
+    0x2d266f9e, 0xaf5c8784, 0x98b979fa, 0xa7063891, 0x3f026221, 0x92926371, 0x361af7aa, 0x17ecf540,
+    0x9659513c, 0x5de49a9c, 0x20625806, 0xca763c2f, 0x963f0167, 0x5f4fe150, 0xdafdeda7, 0xecc2b114,
+    0xbdf0b0d4, 0x9f0120aa, 0x19ee4ff9, 0x49493e09, 0xf4e1d682, 0xa0bdde11, 0xcf5ea545, 0x4d0972e8,
+    0xd526c16e, 0xdb496511, 0x980dc160, 0x0c4b80c9, 0xe1968d92, 0xa9bb8de7, 0x246f0dd6, 0xe8522fae,
+    0xd654fc9b, 0x30e683e0, 0xa669437b, 0x2d05c6e7, 0xece97510, 0x9072fa44, 0xc63e453b, 0x3d3334f9,
+    0x627eda92, 0xdf5af354, 0xfd714d65, 0xb6698d58, 0xb22ce025, 0xad35664a, 0x5282042e, 0x9ab8b4fd,
+    0xbb5c9af3, 0x64f67f3f, 0xbb0f49de, 0xd9488be3, 0xb86a54f6, 0x341ace71, 0xd089dc2e, 0x71091133,
+    0x84c0cc3b, 0xf88ace5d, 0xe30b2b63, 0x80e17136, 0x9b1cf279, 0x9aab8363, 0x8abc720e, 0xe1010321,
+    0x895bf920, 0x55068945, 0xbefb2787, 0x9cef4f12, 0x9444efa1, 0x4494ac0b, 0x2bee0350, 0xd0e24f10,
+    0x4ec4ec5f, 0xa59cc431, 0x3826dcfc, 0x57e4a19d, 0x984cd39a, 0xe38e1f51, 0xed985a06, 0x0fd5bc5a,
+    0x6cd2e9d3, 0x2448fe4c, 0x6b2cd700, 0x31b4b509, 0x573fc509, 0x4c201d84, 0xdf07032d, 0x7044dc97,
+    0xe788f76f, 0x75103fa9, 0x8bda54a6, 0xba744326, 0x9c466aac, 0x4372d557, 0xfac4125e, 0x7e16921f,
+    0x2b46e63b, 0x52ac9cf8, 0x2e3cf080, 0x0265f77d, 0xdfd1b227, 0xbaaeabcd, 0x524e866d, 0xc07bd7a0,
+    0xaa6948b2, 0x05067b6c, 0x73466c59, 0xba735658, 0x50de86f3, 0xfb57f3e5, 0xc8331bc8, 0x41443f45,
+    0xad7926a5, 0x6cbd0f3a, 0xe2bbb496, 0x6143aaad, 0x227c9231, 0x03b8d25e, 0xc9a8309c, 0x71fa8b62,
+    0x3d8d8f45, 0x3b669e4e, 0x3d2bf9a4, 0x6593a535, 0x47201b6d, 0x9d2dcd63, 0xc10036f6, 0x298999b4,
+    0x65e2d28b, 0x2ed12f43, 0x61a41717, 0x118027cc, 0xe7a62c5b, 0x3f304460, 0xec4d629e, 0x6c249f08,
+    0x2d28f916, 0x401af5da, 0xe03be499, 0xa3b9d642, 0x650843aa, 0xc180b4f2, 0xe234e571, 0x07fbc4fd,
+    0x83902a90, 0x61752171, 0xc7c02573, 0x818c3353, 0x46a7ae66, 0xce5b710c, 0x9bebd627, 0xd3f9a326,
+    0xe6f5f924, 0x7ad508d6, 0x41ef65ef, 0x8b9e6339, 0x2b1e8519, 0x2c7ec6d0, 0x54695ebe, 0x38cdd21e,
+    0x97140456, 0xeeec9b7d, 0x6bb8ad48, 0xadabff7c, 0x9943a0b2, 0x50bea645, 0xa9acd964, 0x37d03682,
+    0xb2940f33, 0x5b56d3db, 0xedbf4b07, 0x026b3c4d, 0x3eef9fc4, 0xca47ed9d, 0xa0d2ec6d, 0x4108f782,
+    0x1fc79507, 0x83fac1ac, 0x2acac417, 0x5607dd06, 0x2068a3ed, 0x1eb4f3ae, 0x8fc32125, 0xec3d7432,
+    0xb74c3a0d, 0x8a7a996d, 0xb4307512, 0x01095c9a, 0x5eba42f1, 0xbb0ad5f2, 0x02ececdd, 0xb6bf2629,
+    0x450d7723, 0x2ddc29c6, 0x3191e78d, 0xdaca27e6, 0x3ff10de6, 0x77da9091, 0x3ecded9f, 0x81db822a,
+    0x713f4408, 0x24488436, 0x3f3a8c7a, 0x077f10a1, 0xe1690361, 0x062dfe32, 0x7a4b1c8c, 0xfe9bc2ee,
+    0xbb04a39f, 0x68bbab31, 0xf75fef11, 0x09a1911f, 0x35633638, 0xadb0654b, 0x1cff8a53, 0xa696e4a6,
+    0xbfcb9864, 0x741d4c72, 0xbc76d2ea, 0x4795fbe9, 0x11ad2e0c, 0xf8559fc4, 0xc4fa6e5d, 0x13ed3d7c,
+    0xb627954e, 0xbbb2e0fb, 0xb9b7ffbb, 0xc39df008, 0x0aa63361, 0xb65d295f, 0x07da199b, 0x2af3c51b,
+    0xe400790f, 0x8cad6c65, 0x3017e065, 0x8899dd29, 0xc3361862, 0x5caa723f, 0x56f83bed, 0x793918b4,
+    0xa9bdbc5f, 0xb91d53d4, 0x7b5ce417, 0xb346226a, 0xf05ebe1b, 0xbd0b9bf7, 0xd887180a, 0x5b42ff7a,
+    0x01c45f35, 0x461bd610, 0xfc608e32, 0x8e339f7f, 0xe8429765, 0x89438671, 0x3ed139df, 0x15dd01dd,
+    0xe086f169, 0x49a9bf56, 0x41babdbc, 0x843fdff5, 0x60e280b5, 0xfb6f1ee5, 0x6a775da3, 0x26bddc92,
+    0x36ce396b, 0x2d3b15d2, 0x22484846, 0xaf29a640, 0x66e49261, 0x56fd6af7, 0x6f5b5452, 0x41415377,
+    0x82d4fed5, 0xb3e6fe27, 0x45842f0d, 0xf6ea1ef4, 0xe7fbaecd, 0x42d14295, 0x247f37da, 0xcdb05009,
+    0x0bbb181d, 0xa9eb2a3d, 0x5fa8a098, 0x76e2c032, 0xe01c9b25, 0xb361122d, 0x565027a1, 0x5516cf56,
+    0x4dc75258, 0x083946a5, 0x8998138e, 0x04a0f614, 0x7592da4a, 0x00ffb5f9, 0xeeae7804, 0xb8586e01,
+    0x1611bd53, 0xbb854e2f, 0x8d9051e0, 0x7f5e3a74, 0x8549bfd8, 0x24d92fac, 0x23254d53, 0x1c95540f,
+    0x45ad3039, 0xd588329c, 0x9455f98d, 0x99cb40cd, 0x2553ab73, 0x84d07482, 0x67ec844c, 0x31df7110,
+    0x438a5c88, 0x1cac791c, 0xeb9de5b8, 0xaf4eca1f, 0xd500cd9e, 0x680ae7ff, 0x9c6931fe, 0x30b12dab,
+    0x95abd628, 0xa3154768, 0xe0b8a32c, 0x60646d96, 0x811e0165, 0xb2450f2e, 0xd6eb312d, 0x0ce20fbc,
+    0x143f80e2, 0xb3507214, 0x456ca740, 0xbda4014a, 0x50992d6a, 0x78aa5616, 0x5aa801b6, 0xe93f86bf,
+    0x399a9748, 0xd3212167, 0x7dc7ebd4, 0x1d9e1c8e, 0xed302d68, 0x2240e7a7, 0x5b6a52e4, 0xeb71d5fe,
+    0x765b8c27, 0xdf9a49b0, 0x9310d9f1, 0x63337b45, 0x71efa2df, 0xb52bc994, 0x6e5b4ce3, 0x4e925827,
+    0xc05a1cb6, 0x701666fd, 0x15a563b1, 0xc55e0e25, 0x18dfd4ec, 0x5f92331a, 0x3c601d7e, 0x64343088,
+    0xde941ca9, 0x4b5e1b30, 0x85037db8, 0xeb47696b, 0xef3cfce0, 0x5471d421, 0xc0e077ca, 0xf6c2766c,
+    0x9e065b94, 0x68d6e9ca, 0xf1d41eb6, 0xd427bebe, 0xa16e5fff, 0x7ecfc7c2, 0x0803d57c, 0x7c76ac0b,
+    0x07198706, 0xf96cf8a1, 0xab666564, 0x3488f681, 0xbaae34b4, 0x6ed489b5, 0x6ea60fb7, 0xde5ed9b0,
+    0xba86b471, 0xc761a053, 0xff2abc9e, 0xec04ef84, 0xe29294de, 0xa6c06ddc, 0x3dbd322c, 0x265188a6,
+    0x90b24f45, 0xdd8d6fa3, 0xa4bfb661, 0x19561360, 0x536a46fa, 0x0674d990, 0x1960a585, 0x76980228,
+    0x3eb90073, 0xb5822418, 0x68519dd7, 0x0759a991, 0x52f5531e, 0xccf369fe, 0xc0feb0d2, 0x2b6e25b0,
+    0x636ea301, 0x38a07a49, 0xfd673164, 0xa64a6393, 0xb992e3d2, 0x752fcea0, 0x113f79e6, 0x3643cec4,
+    0xa7154df2, 0x8e0e4dc2, 0x5f27ad73, 0x9db15ee7, 0x82731916, 0x6c67cc23, 0xd24e5c41, 0x288f6519,
+    0x1c8fc823, 0x15c6eefd, 0x92e052e4, 0x5131b0d5, 0x2b02487e, 0xef789cc7, 0x9d65cff8, 0xfa317173,
+    0x229aaf93, 0x869d0600, 0x9f3398da, 0x535e0af3, 0x8731cde0, 0x43fef6bc, 0xa05a07aa, 0x5d06b535,
+    0x90f90832, 0x8d3a7f12, 0x94c5936f, 0xe3bec2af, 0x021a41fa, 0x087bab4f, 0x7deef843, 0x803c9d96,
+    0x79752e0e, 0x442bf53b, 0xf2458d87, 0xbfd0a0a1, 0x694ee846, 0x957323fa, 0xc8d04096, 0x66aed893,
+    0x562ef52e, 0xc98e7100, 0x9c37192c, 0x2f0ece51, 0x1eb13d57, 0x4396031d, 0xd1363c53, 0x62b30eec,
+    0x073f23d7, 0x64deb2e4, 0xe5d1f619, 0x91e6f241, 0xf8a73984, 0x990a78e9, 0x052e90e8, 0x8219932c,
+    0xe12f3d23, 0x1e9ccea3, 0xb2f88e36, 0xd54533f8, 0x6b8effb9, 0x23369f06, 0xff225d14, 0xf70856a3,
+    0xb4f1c431, 0x83a0cf01, 0xfeae252b, 0xa83d5c88, 0x5d082b6e, 0x33f7c0c5, 0x3601310d, 0x611526d1,
+    0xf6f943e0, 0xe936810c, 0x6567ce1c, 0x89873b1b, 0x467a278e, 0x34ba1515, 0xe2e945fe, 0x8b7a2614,
+    0x25127aca, 0x4cf33cae, 0x196c6d53, 0x0e82c255, 0xb82960d6, 0xf378deb6, 0x776f0da6, 0xff93645a,
+    0x92aa2379, 0xa0345790, 0x4cf81993, 0xbdb20247, 0xc6de0651, 0xc2c7f3f7, 0xdcaa10ce, 0xa305ff53,
+    0xa01f0640, 0x5ab2eb7a, 0x2d911740, 0x4d9a3662, 0xd510c853, 0x613fd431, 0x731714f7, 0x404ad91b,
+    0x2622afd2, 0x1adfbecd, 0xed847f2d, 0x3bd67a4e, 0x7bb45b2a, 0x346fe2e0, 0x3115fc4e, 0xd88edfc8,
+    0xfcabf4cb, 0xae86eae5, 0x65b75fec, 0x7f0c03e3, 0xd201090e, 0x7623d32d, 0x52e02b68, 0xdec44f06,
+    0x8269ffda, 0x185cbb52, 0xdea7fb9a, 0x5212b3c3, 0xf2cd7443, 0xcb2589be, 0x712ef565, 0xc82d8fda,
+    0xdd80fc06, 0xfd4ea8f4, 0xc8cab79b, 0x58844e4b, 0x97b48eb3, 0x00da8f6d, 0x2a322438, 0xb4c68970,
+    0x0c1306d0, 0xa4c5a701, 0x922b0e36, 0x49888d42, 0xc44ffbb7, 0x7d757dde, 0x2913c1d1, 0x3569f9c3,
+    0xd9220387, 0xd2f2c0b9, 0xe04da88f, 0x3c417bf1, 0x902c39a2, 0x571ffcff, 0x1797bd45, 0x47e81cc1,
+    0x105f563c, 0xe9856429, 0x766e42c0, 0xd92b262d, 0xbc18e39d, 0xa3a4fddb, 0x922d0dac, 0x3451e76c,
+    0x10c55082, 0xf85c7031, 0x709fbb0a, 0x52e6cc55, 0x783e9527, 0x82c42646, 0x8650aa44, 0xddc0c44e,
+    0x564927be, 0x066231f5, 0xfc0ea646, 0x8583e688, 0xf9a68dcf, 0xc1817c35, 0x243459f1, 0xe077f3f1,
+    0x3fe38c2c, 0x17e5e8e3, 0x776e4854, 0x83fcac2b, 0x19069381, 0x2d8b419d, 0x2dea9cf3, 0x54c5e0f1,
+    0x3608ba08, 0x221c6b11, 0xdcabeb99, 0xc93b3b08, 0x05233194, 0xfcf031d0, 0x20f4ba32, 0xa226a209,
+    0x819bbdf2, 0xb570df6e, 0x4c69e890, 0xb3e01035, 0x8d919d98, 0xa8abeb80, 0xea05d8b3, 0xa63bf55a,
+    0xc7693143, 0x1b69d6d0, 0x5f4030d7, 0x4f134a8c, 0x99a66a10, 0x6acf6413, 0x487f65c9, 0x63a4d73f,
+    0x5005d8ad, 0xaf9cf3ea, 0x6bfc2c81, 0x9b9725d9, 0x1a4aa307, 0x57805a82, 0xd415cb96, 0xa8da1767,
+    0x00000000,
+    0x0164a048, 0x036da812, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000664613997892457936451903530140172288 */
+  { 0x00000000,
+    0x9b88ce98, 0xef064a95, 0xa6aba34b, 0x3ec9d989, 0x09770f2c, 0x230b595f, 0xa4c7c975, 0x7e253c17,
+    0x3fa22630, 0x0f9d1871, 0xbfb65455, 0x5623b806, 0x7fc6e8ed, 0xcc4f5deb, 0x13f8af15, 0x490b480a,
+    0x250e3a63, 0xf05f6551, 0x6c447a2e, 0x701277fa, 0xff0c019b, 0xf9cd1720, 0xf9d90985, 0xf76e007d,
+    0xa244cf6f, 0xc2db02e1, 0x6d132489, 0xa2b1d002, 0x8367a602, 0xc2122ae7, 0x013af59a, 0xa4147365,
+    0xba821440, 0x011fbafc, 0x57ca473d, 0x7dc3b24f, 0x0e3741c8, 0x64af4485, 0x8cf497f5, 0xb8b10d42,
+    0x58992765, 0xe99592ec, 0x584308a5, 0xc1d28eb2, 0x51445457, 0x8f69dc78, 0xab091415, 0x6d8730d5,
+    0xc8529fce, 0x28c36f94, 0xb8026a8d, 0x3f926be7, 0xdb8c096f, 0xfe1dc430, 0x99f9bd19, 0xbc063f35,
+    0x5be4272a, 0x90499797, 0x82226d76, 0x53dcb863, 0x223cce21, 0xbf050631, 0x22de7e24, 0xdaa5562c,
+    0xf8fddd58, 0xb3d757b2, 0xb4f6c3f5, 0x6a0dbeec, 0x29ce5eb1, 0xa3262f9b, 0x722d3c8c, 0xe8398670,
+    0x011f5389, 0xa7724958, 0xf90bf3b4, 0xd0265baf, 0xd93c2697, 0x327d5e18, 0x2f99ba7e, 0x7cde8eaa,
+    0xf0d5fde7, 0xa9707596, 0x8d399418, 0xcb4643e3, 0x935fe70a, 0x9b4debd1, 0x69858596, 0xe2e55b2f,
+    0x69a8812c, 0xcbd8dc2f, 0xffa75a8e, 0x51a88351, 0x8fe7dc38, 0x926045d2, 0x51fcb672, 0x4c723a4c,
+    0xadb3e1ca, 0xad59b897, 0x265f5732, 0x352cc3c4, 0xd8cd5610, 0x6d08f288, 0xb9d34683, 0x0beb52dd,
+    0x521ee2fe, 0x178312a0, 0x880636cf, 0x0df3d9f6, 0x279dc984, 0x7f8626c7, 0x3f032ee7, 0xd5ab108f,
+    0x3812f3d4, 0x92fa3ae8, 0xc1e2e424, 0x0fb52116, 0x10d4160d, 0x65e5e36c, 0xe2b33346, 0x43c28259,
+    0xf1379cff, 0x73536f8b, 0xe97867d2, 0x7551d757, 0x2dfdb4b1, 0x80677590, 0x7d8f4a95, 0xadcfe248,
+    0x4a6d0f0f, 0x899d6c4f, 0x36814043, 0x1b5af458, 0xcf684928, 0x7ded5d3a, 0xc5f0c52e, 0x7d0f8e97,
+    0x8f3f5916, 0x474d6c0c, 0x03f26435, 0x4a4b760b, 0x974b704e, 0xbad91c3b, 0x92231da9, 0xb7079f8f,
+    0x6d812699, 0x972c1c94, 0xfe59fd0e, 0xd34badae, 0xc1fc2360, 0x74ef0c70, 0x6b35ed1a, 0x039c86c1,
+    0x2da89ac8, 0xe679793e, 0x7ac9b39a, 0x21f54ff1, 0xdf08be6d, 0xb997c3aa, 0xbb31e48f, 0xfb1caa9d,
+    0xaa608530, 0x00499308, 0x374c3eee, 0xf1438896, 0x4bbfd9ef, 0x1e1c444a, 0x44943536, 0xd430df12,
+    0x7a6ba7dd, 0xed1c34e2, 0x476c77e1, 0x7cec24ce, 0x69e92fef, 0x4bb73815, 0x823057be, 0xe8f40813,
+    0x70503335, 0x525994bd, 0xce57ae87, 0x36ff9428, 0x4215a116, 0xbc2ee1e4, 0x6d86219c, 0xc2a26fe3,
+    0xd6fbb3d0, 0x5f3035b9, 0xf6383026, 0xcbbb7e69, 0x2bca1a59, 0x348beb9f, 0x23b01fd5, 0x2b0f5525,
+    0x9ea43369, 0xf31dcf98, 0xe8653c53, 0xc8f1163b, 0xa0046a3e, 0x01fd0530, 0x1f048548, 0x8d7af003,
+    0x19cecac7, 0x6145f8dc, 0xf87bddc3, 0x147b24dd, 0x7fda5371, 0x31cdb86e, 0x3e12b2d5, 0xb3d2f927,
+    0x80cf9cc7, 0x42560999, 0xfd211566, 0xff804a7e, 0x5d7e1884, 0x0915203b, 0x0c9c3e61, 0x7d65ff2a,
+    0x2482c923, 0xc40b6b9c, 0x10a3af44, 0xd56c61f1, 0x16a4201b, 0xf4074d41, 0x25068045, 0x7adf8783,
+    0xc6609fca, 0x94b6f658, 0x2dd77057, 0x87f85bfe, 0x78d7b906, 0x18ede56d, 0x3ac48ffc, 0x7d301a98,
+    0x58bf14fd, 0x73057364, 0x2b46db1c, 0x57f0dfca, 0x84edeb83, 0x14f0423b, 0xd28ea1ad, 0x72ea8301,
+    0x4cb966c3, 0xbcd80b01, 0xd7343dea, 0x96991043, 0x9723bf4e, 0x505e2c00, 0xe48483bc, 0x780979fc,
+    0xb51c73cd, 0xec36780b, 0x92a415da, 0x46cbeef2, 0x623876b4, 0x152bca53, 0x031c217b, 0x8f74950a,
+    0xc20bef51, 0x5b88edbd, 0x11d366a2, 0xcc5d3ae6, 0x8b36b5b7, 0xfcad6d1c, 0x36b08899, 0xb2b56eb7,
+    0x497792a7, 0xc09ef596, 0x4ab51f63, 0x528ad099, 0x75e3ad74, 0x086f6c7b, 0xa5aee7c4, 0xd6f5ca50,
+    0x290d5bf2, 0x2a6dab96, 0xabdeddcc, 0xcb319a5a, 0x9f673594, 0x8bfdf148, 0x29e9f420, 0xad504a13,
+    0x317ebf9d, 0x3a8cfb55, 0xd200c070, 0x4d636ca6, 0x8aa8fd1c, 0x99e4285d, 0x707e0e3c, 0xdcf7d505,
+    0xaba1620c, 0x951877e5, 0xfc76ce34, 0xb28b8009, 0xd71ef780, 0xce51bc36, 0x22d72aad, 0xf6196ae5,
+    0xdbcea736, 0x53275647, 0x72164f46, 0x44dd1fcb, 0xdbb39cc1, 0x76992fe8, 0xa7785933, 0xe7cd921c,
+    0x39364d62, 0xaf77d28a, 0x26a70339, 0xc2add827, 0xa88e13c8, 0x8636a4c6, 0x26ada1c6, 0x04fcb493,
+    0x71d16528, 0xfe0c97e1, 0xc966c4f9, 0xd2e4c187, 0xbcca1742, 0x1ec0a537, 0x664fb5d4, 0x3d2c3f62,
+    0x9fe037a2, 0xead49094, 0xa5832595, 0xc1b861eb, 0x2cf22ca3, 0x621d01bd, 0x0d492ab8, 0x050abe58,
+    0x5841d279, 0xcfe652c4, 0x3f2c22ae, 0xd6778647, 0x7f47d6d1, 0x0ecf69d5, 0x2534ce84, 0x78c88fef,
+    0x0e2ecd88, 0x0f8a145c, 0xa9fb5666, 0x8cec621c, 0xd20351d3, 0x3e0a0c88, 0x68a935a1, 0x65381643,
+    0xf1fe4dea, 0x66489272, 0x86d988aa, 0xe1b4a668, 0x4fa7f446, 0xac9f4df1, 0xba4796fb, 0xfa1d7c11,
+    0x6a5cf8de, 0xc8705039, 0x56084cbb, 0xedeb3dfe, 0x0cdc0858, 0x8a9d3d0c, 0x736dad58, 0x110f341e,
+    0xca7b5582, 0x7142c2c5, 0x338490e6, 0x4f6435cd, 0xdf3c1e55, 0x15e6e9ae, 0x6061fa5a, 0xaac38169,
+    0xcafa23b7, 0x53ce76a7, 0xee15ff70, 0x363548bc, 0x239cc767, 0xe03e30ae, 0xd6d24333, 0x3a8ed904,
+    0x2abc171e, 0xef9b4926, 0x2fee20cf, 0x121a38bb, 0x8c337b53, 0x01d5d23b, 0x9dd1c8fc, 0xc04b3d1c,
+    0x6265eeb6, 0x243044b7, 0x9d3b8e63, 0x4a1f8c7c, 0x4f54b001, 0x52c768cd, 0x209cdb90, 0xe1a48057,
+    0xac51e7ee, 0xb19c3176, 0xea9953cb, 0xa82290d9, 0x70ef01b5, 0xa3bc127b, 0x82348c20, 0x5bcd1dbe,
+    0x6159d58d, 0xf3b6082e, 0xd15e23f7, 0x2efdbf20, 0xddf11139, 0x6ce03646, 0x05a72529, 0x7d6eb657,
+    0xc63a287e, 0x8d0f2475, 0x69280acf, 0x64c405ba, 0x89d1eacd, 0x3642a41f, 0x95a5de0a, 0x25e9a0aa,
+    0xb054c796, 0x3564b277, 0x0133eef0, 0xfa9eb752, 0xabd62a69, 0xdee2cb2c, 0x491b6e2f, 0x765417ea,
+    0x09bc399f, 0xc33c53c0, 0xca3b8690, 0xde2271c0, 0xe3b8c21c, 0x526928ff, 0xca8da909, 0xd1d7155b,
+    0x51d22bf3, 0x6cfc9bac, 0xba7fbdba, 0xee12826e, 0x5a207ba2, 0x8faf8c71, 0x322e2c22, 0xab751d8a,
+    0x40c1705a, 0x58adb401, 0x7e69a7f3, 0x4543b5ae, 0x903277e8, 0xbaae242a, 0x4fbf94c6, 0x14d6c05c,
+    0x66f6a5cf, 0xadf945d3, 0x0be9d516, 0x03f80167, 0xc024e902, 0x0aef93bb, 0xbda01b32, 0x1e531618,
+    0x96ab6b68, 0x9e82824a, 0xe4b9d526, 0x8a8ecf5a, 0x181a536e, 0xe84d35e6, 0x3382ebd2, 0xd4b683c8,
+    0xe569f7da, 0x63663f40, 0x38c74b51, 0x016bf66a, 0x7b0a623a, 0xe026dc18, 0x11abbb7d, 0x7de67277,
+    0xea436ebc, 0xf244e6cd, 0xf301a8d0, 0xf16f0c4e, 0xcb2b6118, 0x38708f08, 0x6b2ebcff, 0x8b9d9f18,
+    0xf8b0192e, 0x1fa01585, 0x1de52379, 0x94c2001c, 0x7420f33a, 0xe4cc7c08, 0x9c979916, 0x11f56fe5,
+    0xc27fbee2, 0xa0ce6296, 0xc1c1b404, 0x46a795cb, 0x3a3e819f, 0x5a9276fd, 0xf01298fd, 0x8b8b5b31,
+    0xd4e34b98, 0xbaae86a3, 0xb591f796, 0xedc3e696, 0xb837d4b4, 0xe1943a5b, 0xdf83dce1, 0xc5eca00a,
+    0x8fef84a8, 0x6c001e71, 0xaf9c4520, 0x18ad9f71, 0x67ff1923, 0xe9a1cdc4, 0x66e174ec, 0x5b165489,
+    0x3bbdf033, 0x1122dc30, 0xc9ca1604, 0x604d7f79, 0xbe25f2f1, 0x6493eae6, 0xb9be9dd9, 0x31634135,
+    0xbe3ae4e1, 0x7d8b824b, 0x00cafce6, 0x25ab3deb, 0x988c30e6, 0x83438820, 0x1752b5bd, 0x4458486e,
+    0xf78bcd64, 0xfbf60021, 0x45e24a5b, 0xf2e62467, 0x7540fc6c, 0x23b821f4, 0xcab3de54, 0xec1a243b,
+    0xc31b8860, 0xa280c4d4, 0xe892dd43, 0x9d76e6ae, 0x73df12ba, 0x6205ad93, 0x8e40098a, 0x750eb120,
+    0xd76bb092, 0x511de54d, 0xf82f2c3c, 0xe0466bad, 0x06750636, 0xb587257e, 0x12e8a1b1, 0xfbfd9eac,
+    0x9f8ccf62, 0xa56b72aa, 0x64ca09e7, 0xce16a5cb, 0xe289d3cf, 0x951b1cd9, 0x694641be, 0x0c0da82e,
+    0x3fce3a3b, 0xe4f6949d, 0xd3253721, 0xf84d3d21, 0x3e62f0f9, 0x7e7396c2, 0x561981c8, 0x86eeed6c,
+    0x73dcee5d, 0x88fe975c, 0x07cab42d, 0x5dbcbfd6, 0xaa213d05, 0x67480449, 0x7c54b46e, 0xd2b99c98,
+    0x64981c5e, 0x6b384b61, 0x5733bdf5, 0x38247aed, 0x10096948, 0x84b2ee10, 0x4ea98201, 0xd60ba40e,
+    0x5f138cb8, 0x89bed461, 0x3253b9cb, 0xe0cb0aab, 0x41edf8fd, 0xac1094e0, 0x785b270c, 0x27cd382a,
+    0xdf31a79e, 0x814dc996, 0xc48342ae, 0xc32bb04b, 0x226fbfaa, 0xde393acf, 0x5738590f, 0xf06efc73,
+    0x44ffd6f7, 0x2668dbfa, 0x826e1fce, 0x89297396, 0x1c52614f, 0xdc98cd1f, 0xe2cf8428, 0x34aa0524,
+    0x4d5b4736, 0x957d4032, 0x21557968, 0xbf580c3d, 0x2ae64398, 0xd0f4eaaf, 0x0ce5085a, 0x8f17d717,
+    0xb896ad54, 0x6e96a65f, 0x2a19279e, 0x3aa04286, 0x78a45309, 0x01d81109, 0x5ef45104, 0xb399aec8,
+    0x204fa2f2, 0x7d80787c, 0x9ef8c147, 0xcc33cae0, 0x3812875c, 0xf9304eaf, 0xc782afb3, 0x3bd051f3,
+    0x3ec5fbbc, 0xd31ef623, 0x47861260, 0x4a3b2197, 0x1e1ea3e5, 0x9bc9f272, 0x234788ce, 0x4e5e6e09,
+    0x8dbd824a, 0xe323d639, 0xb7b85e40, 0x2685b391, 0xd32807c6, 0xbec75cfd, 0xf636760c, 0x7c5b07ac,
+    0x8978aff1, 0x02327aab, 0x5f3a53ce, 0x19bb68dc, 0xc5515db6, 0x72401aac, 0xa7457ad8, 0x3400186a,
+    0xd9525a94, 0xdf3491bf, 0x8b47dff7, 0x5fe0c609, 0x134740c0, 0xd0b8c041, 0x6c33c149, 0x1cdbe2fb,
+    0x8b2136c7, 0x6e3b9bfd, 0x277f87f1, 0x92eb0df3, 0x017903fc, 0x54198b4d, 0x4d215cba, 0xa1953509,
+    0x73f6bd89, 0x3afe0e9a, 0x332db154, 0xa786c8b1, 0x97da9b5d, 0xafeaaa3e, 0x484cd7cb, 0x960a3120,
+    0x983c79f6, 0x8d52c117, 0x4a0829da, 0x5dd1ca47, 0xc2acb7a3, 0xde002759, 0x1648a891, 0x45602e01,
+    0x9adcbece, 0xe0027496, 0x22f033a4, 0x2597c6f7, 0xb7803102, 0x2f745ce8, 0xfb17e702, 0x67107eb6,
+    0x20fb9fe3, 0x031fe513, 0x36fd7506, 0xfc7fef0c, 0xee387a57, 0x2ed4ea4a, 0x64bf7896, 0xea97549e,
+    0x70c0ddfb, 0x4cbc1189, 0x8f1ffd53, 0x41b551d5, 0xc6082116, 0xec01a679, 0xca5b70e1, 0xca55f0a6,
+    0x7bde3a84, 0x1968a601, 0x4266c2cd, 0xc8a534d8, 0x69ada4fd, 0xcfc262c6, 0x42eaa8e6, 0x15c815f2,
+    0xfec5dcb6, 0x2d359785, 0x7c762a23, 0xf9cc40d8, 0xab6bf89f, 0x74779f50, 0xb5dccd74, 0xbc151963,
+    0x2c4657f7, 0x98f41ef1, 0x2ef8d4b8, 0x1ecf170e, 0xbd1c9045, 0x013ddac2, 0x579191aa, 0x86570f15,
+    0x70433de1, 0x11e67a53, 0x60390b72, 0xa7c81f12, 0xfdc71dba, 0x0ade7214, 0xd7da120c, 0x478e8041,
+    0x75a1d923, 0x94ab8d42, 0x73353b61, 0x8a508387, 0xab532765, 0x206e96ac, 0x6ed37c91, 0x09e49cc8,
+    0xd52767d7, 0x837feef9, 0x3e7c2c09, 0x5837b204, 0x7fae87a8, 0xe0c0e042, 0x70e0c223, 0x588e69b8,
+    0x58968b19, 0x2e1b739f, 0xea9bf4a3, 0x1a32788c, 0xb2e73dda, 0x8d1b05d8, 0xb808fc37, 0x497c5c19,
+    0x84374386, 0xbda64915, 0x091d428c, 0xf3398e92, 0xe3a1c7bf, 0x222e9be6, 0x5f1af569, 0xcb31a556,
+    0xfbd08d28, 0xa98a1724, 0x9506d01c, 0x9552d19a, 0x56e5861a, 0x4705dca8, 0x1ccc3512, 0x452caa18,
+    0x8d872e8a, 0x733be3b0, 0x0af82c27, 0x8155694a, 0x6dcad5cb, 0xb9b67066, 0x6afe67a2, 0x7e6bfee1,
+    0xc7843743, 0x4243db01, 0x1dc3fa9c, 0x3a9ea7bf, 0xa51f998b, 0xe87624d2, 0xb0e5cb45, 0xb5e5c7cc,
+    0xf24fb670, 0x41a8264f, 0x0b861111, 0x24e599b0, 0x4cd51331, 0x8e84a76d, 0xee10e394, 0x8535ae56,
+    0x9c2435a0, 0xa34d9c4a, 0xc4d6663e, 0x15f3f9c1, 0xfe95b5cf, 0xd064c900, 0x7c9ee1fb, 0xad3f5148,
+    0xee680166, 0xe607f8f4, 0xaf0cb8db, 0x9ac626b2, 0x85690728, 0x914b0bce, 0xffceba57, 0x35100875,
+    0xc75a5292, 0xa0a45b5d, 0xb7cecaf0, 0x577769f0, 0x03c77923, 0xf01817e2, 0x2936edb2, 0x35632be9,
+    0xebe85a5a, 0xe7d45aac, 0x241d2ffd, 0x060e1d4d, 0x77579fa7, 0x7ed42105, 0x0f994809, 0x67e1a6de,
+    0xf75cb1cf, 0xd44f0f17, 0x7dd7a052, 0x6c893ada, 0x00884eac, 0x6072828c, 0xf0cba861, 0x7f3d4b77,
+    0x6eda5eb1, 0x77efc423, 0x2a0a6068, 0xb799b88a, 0x2d63fa40, 0xd154fe5e, 0x04ce4c96, 0x49d00353,
+    0xc674f48b, 0x05660987, 0x801b03c1, 0x81acc5c4, 0xf4960338, 0xb772bd04, 0xebd635c3, 0x5de6d5ac,
+    0x84ad394a, 0xfc24458c, 0x39b41b38, 0xa8594c13, 0xdb24ca25, 0x3d874dc5, 0xdf781452, 0x3ccfcb5c,
+    0x9718f310, 0x972c6c7a, 0x51d05c61, 0x5b0dec58, 0x056c69ed, 0x526f2a86, 0x321ff5c2, 0x101c467c,
+    0x6a6f27d7, 0x82f91e05, 0xd057f055, 0x76dbed17, 0xdccc7b4a, 0x7342553d, 0x6ace5331, 0x12643222,
+    0xa199277d, 0x8b41ea89, 0xc6c6d817, 0xe79a7d6b, 0x8a44d7e3, 0xc3b9974c, 0xb9bed6a0, 0xce08b66a,
+    0xbfba051a, 0xa490785a, 0x04fb44b3, 0xfbfc50b6, 0xe8bfae48, 0x88da44f4, 0xb07cad2e, 0x1203b4c8,
+    0xa309c82a, 0x24c260ae, 0xf1f6eccf, 0x9c2d009a, 0x807630f4, 0x42630132, 0x8f1a89a3, 0x8e133669,
+    0x110ac85b, 0xeb090f29, 0xfcc61c47, 0xe8f4f4d9, 0x753fb4a6, 0xdf490aa2, 0x2cb41318, 0x49a0014c,
+    0x4eca9668, 0xf83c614e, 0x22de78c2, 0x262de449, 0x36ec31e1, 0xf649d3b4, 0xd4cf0d71, 0xef97a8d7,
+    0xb6c8b8cb, 0xecca690d, 0x24950c13, 0x4533bade, 0x22446467, 0x8d2e954f, 0x2aa75f79, 0x5e87cdce,
+    0x6be318f8, 0x5c7e5f2a, 0x0957055a, 0x37c49125, 0xe4b2bc26, 0x8a69001f, 0x2fa77ddc, 0x4eda63af,
+    0xdce39e8e, 0x8f816be9, 0xec087e25, 0x4b384a3c, 0x3d536b47, 0xf569dac8, 0x2ea572aa, 0xcd831a6e,
+    0x62ccb00f, 0x1ae1596b, 0x7c4ec560, 0xb40f0de5, 0x7930bdc8, 0x440ca093, 0x8b172d7e, 0x70455386,
+    0x7a29b8e2, 0x900f4ed2, 0x4faa5c11, 0x3820717a, 0x895466cf, 0x84845fd4, 0x419f6c74, 0x3b2971ba,
+    0xa5473b35, 0xb1a056d5, 0x240d5e91, 0x876634a4, 0x7514e879, 0xc958e49d, 0xcf01bc74, 0x19f024d6,
+    0x6a05c1cc, 0x3fd0f63c, 0xbbe84d1a, 0x3aaa560e, 0x0b2411cb, 0xd03610f9, 0xef0e51e2, 0x5c56497a,
+    0x76c4e645, 0x83f49705, 0x4093001d, 0xe51a3a1a, 0xc95cc66b, 0xc2e078e6, 0xb7364984, 0xe82ac1e9,
+    0x16e0f549, 0x5b81d56c, 0x7a16e880, 0xaa880f7c, 0x5d9966f8, 0x6c6ef555, 0x3661f674, 0xcbfc2f14,
+    0x3ed8b44d, 0x57932858, 0x79bb4cc0, 0x03e7d84e, 0x3c0e4515, 0x149958fd, 0x14261973, 0xcfe8aaa2,
+    0x00000000,
+    0x00b25023, 0x01b6d409, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000332306998946228968225951765070086144 */
+  { 0x00000000,
+    0xdbbc3434, 0xc3b3130e, 0xb1634d9c, 0xc7d2a8b5, 0xa9c852f2, 0xfd5d137c, 0xd764faa0, 0xccf2799f,
+    0xf64d0857, 0x5bab689e, 0x4e12ad4f, 0x2cac5df5, 0xde4e5ac3, 0xcbe3ce77, 0x646c184f, 0x026f980c,
+    0x1fd5917b, 0x0c97e7ef, 0xe008a6b4, 0xcac7d686, 0x6892ebca, 0x6649926d, 0x9cfcc395, 0x27df6a2e,
+    0x0a7f0515, 0x5813caf3, 0x7c1b1dd3, 0x8d11ff47, 0x38734343, 0x55caf742, 0xf8a8e36c, 0x15e50205,
+    0x2a4c2b27, 0xf42a3ce8, 0x1c6b6b14, 0x55cb3a3d, 0xc9e77b06, 0xd9143b1d, 0xa2646a1a, 0x7d5c1b1b,
+    0x679ed1fe, 0x63c4b07f, 0xf668cacc, 0xd66a53a9, 0x3ccd61b9, 0xe08413a8, 0x22347503, 0x92bb0dfd,
+    0xb7d8f7ec, 0xbdb75b4f, 0x674acaa4, 0xee03e04c, 0x48c6be76, 0x7becae72, 0x09847167, 0x0c716a3b,
+    0x752ca10f, 0x90a5b7bf, 0x3a8f073d, 0xc5438956, 0x644d1dab, 0xfbea82f1, 0x92d73004, 0xb730f55c,
+    0x306412ed, 0x18023eb6, 0xc469fc33, 0xfd30da44, 0xfd47235c, 0x212fac27, 0x9319cfc0, 0xf0917626,
+    0x8c54f064, 0xd16d2063, 0x4cd342bf, 0xf559be37, 0xecbd8e90, 0x5af997ca, 0xe7f09609, 0xa9eaf21a,
+    0x44697c89, 0x5c768e3b, 0x7c433c49, 0x61e780ab, 0x551a858e, 0x7e20df0e, 0xa7a54061, 0x6767ca97,
+    0x67d1883d, 0x6028640c, 0xa7c634ba, 0x73032249, 0xa67d4ba7, 0xa88482c8, 0xcb59200f, 0x33417665,
+    0x0572659b, 0x04fb58ba, 0xb58844a4, 0x12995292, 0xbf22a4be, 0x9c39448f, 0xeb08ba06, 0x54aa0add,
+    0x1bee7704, 0xaea31836, 0xe208834a, 0x21ade1c5, 0xa90dd0cb, 0xfb136333, 0xec97fce0, 0x0dc8d3dc,
+    0x00d859c1, 0xae715ccd, 0x145cabcf, 0xb32a3386, 0xafa03446, 0xf021c8fb, 0x7ea27d3d, 0xaa053946,
+    0xfd6a1f7e, 0xd108fc68, 0xa08b203a, 0x70d3acc0, 0x912bf64e, 0x1816e3ca, 0xa36a53c2, 0x7158df7d,
+    0x74f3b9a5, 0x6f03bd51, 0x231c1057, 0x02059c5f, 0xfb8e09b0, 0x8e8bda9f, 0xad4333c9, 0x4d7d7bb3,
+    0x1001ad3d, 0x93694876, 0x8a01de42, 0x0fe5dd44, 0xb7fdf554, 0x20bada13, 0x6d9f28ef, 0x47d33ca2,
+    0x5cd902bd, 0xcc8bffa3, 0x6cd7f158, 0x54d355ab, 0x84fd2524, 0xeed90d61, 0x0fcf074f, 0x20597ef1,
+    0xe051451e, 0x73498785, 0x6f33eec6, 0x7dc00f18, 0xe478924b, 0x8321c87e, 0x70685ed9, 0x1174a717,
+    0x3d2ecbd7, 0x9730dad1, 0xbbd71677, 0xab66c218, 0x205efeb7, 0x114e484e, 0x37a7bb24, 0x556c1337,
+    0xb4a56988, 0x5b960634, 0x6dc9cdd1, 0x29669809, 0xd7f7430f, 0xf33fae81, 0xaea62301, 0x43382707,
+    0x7873539d, 0x808949e9, 0x89f51bfb, 0xfc76004b, 0xf25121eb, 0x181288db, 0x810f17b1, 0xc9c86a52,
+    0xc553ff15, 0x5b301ce3, 0x0d4a93e5, 0x070350be, 0x6b9d2d9b, 0x338fce3c, 0x271aef30, 0x9fbac95b,
+    0xec8c4c9a, 0x7a0cfddf, 0x0e5df667, 0x5528c990, 0xdecfce84, 0x70a581bf, 0x3949d2ee, 0x93780ccc,
+    0x636e490f, 0x113b1831, 0xf6ef6114, 0x4bd7b9ea, 0x6caa4b5f, 0xbf259895, 0x16f9616d, 0x3b263686,
+    0xd43ef80d, 0xe4cf0ca0, 0xeced7657, 0x15ffee82, 0x17d11ab9, 0xd51dc7fc, 0xe2d0f590, 0xcdcd6653,
+    0xc54ed7b6, 0x05ef5125, 0x3daf86f8, 0xd290f7ff, 0x2a6ae810, 0xc6090a5f, 0xe0c3afe8, 0x364ebabc,
+    0xb762d0c9, 0x4326698b, 0x37abde85, 0x2784845a, 0x273968e9, 0x7b3ac287, 0xcd7f3478, 0x2a39ca0b,
+    0xf71d39b7, 0x16bb0c5c, 0xf91de618, 0xedeca564, 0x001bfab8, 0x56c9e32e, 0x02d95846, 0x5868bc80,
+    0xfe368239, 0xcd346834, 0xa92df128, 0x26486608, 0xfa0d4560, 0xd30d176b, 0x385fc154, 0xb8b01055,
+    0xdab98ac6, 0xd46cbc51, 0x187974b3, 0x5449a04e, 0x84df43a9, 0x231cc9ee, 0x7bf9b24b, 0xcd84fb56,
+    0x53388ca0, 0xc04a4784, 0x922e95ca, 0x6dbbcecb, 0xa662fe05, 0xeb551073, 0xedb9c8e8, 0xbc7ace11,
+    0xd93eb0ea, 0xa7c13aa6, 0xdaa1734e, 0xf8aa42a0, 0xafc6febb, 0x82868013, 0xda2d7d3f, 0x857aa10a,
+    0xb8754255, 0x04f181a5, 0xef7a96d6, 0x106190ed, 0xfd5da575, 0xa7b2316d, 0x07409d3e, 0xba8d99a0,
+    0xb11cbab4, 0x11573107, 0xa7676407, 0x1405b9c8, 0x50c63332, 0xdf9130c0, 0xe0f4ea79, 0xb198a045,
+    0xb5f3148a, 0xd6bd7dff, 0xd07cbe54, 0x4bc8008c, 0x97a706c1, 0xa69261e6, 0xa97e3c30, 0xcd0c2b44,
+    0xb6d78e3c, 0x43c65f5e, 0xba23a233, 0xc1718c64, 0x0eccd070, 0x8f1d32ab, 0x1586d033, 0xe1dd02af,
+    0x6d4ffdaa, 0xab06c152, 0xd27e3263, 0xcd1d87b1, 0xbc3f55da, 0xef320adf, 0x5045b062, 0x235d55b7,
+    0x974a6215, 0x75dedd98, 0x7f401072, 0xaf049489, 0x8a2f6fae, 0x9f970cbb, 0x0e888a5a, 0x401c8b14,
+    0x181f7e01, 0x5d2ce32d, 0x3ea2a140, 0x87b71042, 0x14da951b, 0x653099c4, 0xdfc99fb1, 0x1f207940,
+    0x892b71bf, 0xb6eb00cd, 0x9038d9a8, 0x13e905f7, 0x8fab9054, 0x57344d26, 0x622d7ec6, 0x9cb58497,
+    0x40c360c0, 0x4bb9fd1a, 0xae6c9c4f, 0x03a54d73, 0x5911e033, 0x797a5517, 0x41f4cc67, 0xa4edb047,
+    0x639fc7bd, 0x775f29ad, 0xcd082283, 0x07f7f4bf, 0x668bdddb, 0x97821f39, 0x11654104, 0x4de112ba,
+    0xf7a38de0, 0xda546e8d, 0x73e797f4, 0x7faaf9d4, 0x889ccba9, 0x37b5ef78, 0x2195e3c9, 0x0af1d30b,
+    0x723cdbd3, 0xb620b75c, 0xd97d11d6, 0xe2cb6fc7, 0x79778f37, 0xab1a8456, 0x2a0672e4, 0xed4a254c,
+    0xb41e0b37, 0xee079310, 0x48a324df, 0x0b5eec48, 0xb16120b5, 0x17d2b0d8, 0x183b0499, 0x35a15f87,
+    0x2f301c3a, 0x9ddd04e4, 0x184833ce, 0x6e2df209, 0x64821fce, 0x13b726a4, 0xc78e9054, 0xc3640aa9,
+    0xbfee0a89, 0x94c0581d, 0x2be0f237, 0x5db05434, 0x23572b7d, 0x1fc9e56d, 0x36db316a, 0x8cb6a74a,
+    0xfea3141c, 0xb35de156, 0x5cace004, 0x647f51b3, 0x52260d5c, 0x8675e397, 0x934ae5de, 0xc0e16ffa,
+    0xde7611b5, 0x30c1bb8d, 0xa6d9be24, 0xe23af11d, 0x5d77a12c, 0x6cf8dd7c, 0xa796fddd, 0x9555672b,
+    0xd25ce562, 0xc08d52fa, 0xc78e1489, 0xef6c6c20, 0x5fc2a447, 0x929d6f05, 0xbe4c8e66, 0x1e63d027,
+    0x1f08a3b6, 0x70d713b7, 0x78df6e3c, 0xa41d203f, 0x543eef16, 0x77ac9072, 0x54c24f63, 0x3efb82f2,
+    0x46403c5e, 0x1bac3df2, 0x851a72db, 0x8b68c1b2, 0x95d19784, 0x405f35e5, 0x1796f1da, 0xff4ea6f5,
+    0x3af342cc, 0x94295326, 0x26c80550, 0xa02132fd, 0x5141b339, 0x42b22521, 0x3a0e773b, 0x5f0f371d,
+    0xf599f6d7, 0xc48dff6a, 0xdb8091fd, 0x5957d752, 0xa0a6e34e, 0xbdaaf134, 0x8187f159, 0xf51fcfa7,
+    0x465ca8fe, 0xe19a4ef9, 0x39611c7a, 0x666e9f7e, 0xc45b3a0b, 0xbb38945d, 0x5e875d74, 0xac4d267f,
+    0x5a57f87d, 0x986a20a9, 0x2f8d2be7, 0xbaee4188, 0xac255336, 0x971692cb, 0x87c33f83, 0x35dcf470,
+    0x6c768586, 0xb094cd46, 0x5c65b552, 0xea883b88, 0x9832a77b, 0x1bca19a2, 0x7795292c, 0x369c65ed,
+    0x65014773, 0x9326e070, 0xc8f39816, 0x38d1f3a1, 0xf64b24d8, 0x4459000e, 0xdd45f4b3, 0x1c51c794,
+    0x62331bac, 0x9944d6b1, 0xa28f5d87, 0xa9ffce17, 0xbd944536, 0xa0f96457, 0x33ea5a44, 0xc21f27f1,
+    0x1ada45f1, 0x268bd6ce, 0x1de3dc84, 0xe711e7b4, 0xffcb5791, 0x19de5834, 0xd38e9a51, 0x7998bc57,
+    0xf6d1d8a1, 0xa1509976, 0x997984f1, 0x8ba4aadc, 0x214e9746, 0xea3e42f3, 0x4c986d9f, 0x873051d2,
+    0xcb8855a3, 0x57c6304a, 0xba03c668, 0x5d0f39ad, 0xc4a43564, 0x18f18ccf, 0x0471ae83, 0x5e405920,
+    0x80624319, 0x26921692, 0xde334bf7, 0x102144de, 0x3d026864, 0x7efb243c, 0x9f94d254, 0x7b00431f,
+    0x350fe265, 0xd3421d4b, 0x7d796dba, 0xed8a6250, 0xd6c78b10, 0x145f4702, 0x560b4aad, 0xa6cd2f66,
+    0x7e14844c, 0xd88b5883, 0x70b5dff3, 0x6408719a, 0x74a90800, 0x247c3f1c, 0xf1768e1d, 0x79c827b3,
+    0x6387e967, 0x03281a71, 0xda0153c4, 0x5fc939da, 0x4e515eae, 0x558de1e0, 0x7184a619, 0x2a61ab9f,
+    0x3a9e7069, 0x97b1b5df, 0x7a24f650, 0x80e90930, 0xe0d439d1, 0xc20f80e6, 0x44852066, 0x56d439cb,
+    0xfd33afa2, 0xd622042f, 0xe7f98ad9, 0xfe2d1bbd, 0xb4d97ebb, 0xde02550b, 0x36bba95b, 0x68bd63f4,
+    0xec223fd0, 0xf9b5284b, 0x3e195ff4, 0x684944d6, 0xcb0b10cc, 0xc5331093, 0x91d3b012, 0x3a0a3952,
+    0x44d3e11a, 0xa7454bfd, 0x142f5392, 0x1f3e80de, 0x05076080, 0x7df5b693, 0x2dd8e323, 0xa4eac59e,
+    0x7880283d, 0x4902ebf9, 0xf5ebcc1c, 0x0c25a503, 0xccef700f, 0x0a7d9b45, 0x2f6848f1, 0x1993aa37,
+    0xcf71bff7, 0xbb63c59d, 0x632bdc6d, 0x85962092, 0x36f19d83, 0x3a200595, 0xedfc846e, 0xb5080503,
+    0x647e5b53, 0xbd035d7a, 0x58fc971d, 0xb77987c2, 0x2770c2fe, 0xb6bb35be, 0x14e3903c, 0xa0ad7349,
+    0xc6f8c132, 0x6206b0a0, 0x9bbb23c7, 0x6d116046, 0xcef67b34, 0x6bc8ebbd, 0x3987346a, 0xf51d9942,
+    0xd5e4250d, 0xa28eb9cc, 0x7cbf812d, 0x3404dbd7, 0xec38c465, 0x1b161bc5, 0x613b1461, 0xae75f536,
+    0xa2cddda7, 0x048edfb3, 0xa7728eac, 0xb5d704bc, 0xca99f0f5, 0xed2703b3, 0x643e69f4, 0x7afad8f3,
+    0xee5353c8, 0xe4172287, 0xd16d2769, 0x154c62dd, 0xf86a33a3, 0x8421dd6c, 0xced143d4, 0x689dd3e5,
+    0x9d973353, 0x0fef7852, 0x625f51d4, 0x59af2a97, 0xb160d2be, 0xf69891e5, 0x9119926c, 0x1f81598d,
+    0x9f3938e6, 0x04dff613, 0xe87f2d9e, 0x73ff78bf, 0x1e0462e3, 0x3bf3b863, 0xd7698fc1, 0xf58f2e3d,
+    0x76a1bc05, 0x8d2a0524, 0xa4528f1d, 0xcfe7a41e, 0xe96f2aaa, 0x28c07033, 0xd792d9a0, 0xaaa5d86c,
+    0x17643a1a, 0x462b4817, 0xe15a0dd4, 0x4618be72, 0x5dd3930d, 0x6d4d5aeb, 0x1c70b4f0, 0x8e4af9f3,
+    0x2d10723c, 0x6e7a0edc, 0xf26a8c6c, 0x69234ca3, 0x4fcebd7f, 0xcbda6e35, 0x17f5c0a8, 0x1c33a257,
+    0x232fe4ff, 0xef1c8e7e, 0xdf7943ca, 0x29f9aba9, 0xf8008f2e, 0xce35b257, 0x4598c3a8, 0xae11f340,
+    0x76e64655, 0x8b1a4acd, 0x52fb4441, 0x48ae2a87, 0xff4f2864, 0xb080d20b, 0x9e504f12, 0xd84c55eb,
+    0xb39711e1, 0x9c6c1b42, 0x96e4e49c, 0x00046c76, 0x88d1b876, 0x7f62229f, 0xbf4b7f4d, 0x4d85fd3d,
+    0x9adbe90c, 0xd76958a9, 0x0123135b, 0xc3a6a082, 0x1409707c, 0xfea1a1f3, 0xf8464f6c, 0x7580e14a,
+    0xc3df17ae, 0x28b690ad, 0xe1978897, 0xccb2625a, 0xcd5918e2, 0xfae5635b, 0xa9ccd8c7, 0xba15fe57,
+    0x455a78c3, 0x4998fca0, 0x1962b40c, 0x4b6f7421, 0xb14f72c4, 0x40a853bc, 0xd5605433, 0x83ca440e,
+    0xaef8910e, 0x97578377, 0x50917308, 0x3f1d4ecb, 0x803fc1ff, 0xe61810e2, 0xa672d353, 0x80b32f93,
+    0x52cd7efb, 0x98631236, 0x1175ffe8, 0xb486713f, 0xfd96eca5, 0xf4b7fffa, 0x24dd0afd, 0xc006919a,
+    0x3297e74e, 0xff539847, 0x6457cae1, 0x25526760, 0x47b69299, 0x8de99ece, 0x77b48ca7, 0xaaab821f,
+    0x8dfa916c, 0x028a168e, 0x3ff6a5b3, 0x2f3bd48b, 0x42cae41f, 0xdc326c07, 0xd065ce01, 0x55a56e43,
+    0x3b8ee565, 0x062185dd, 0xfa6d5238, 0xa6d456bd, 0x2da79147, 0x2713073b, 0x67444c90, 0x7e2ca9f9,
+    0xf73b5ccd, 0x3d9e6656, 0xadd833a7, 0xe1b7a139, 0x8ca429e2, 0x0d592aeb, 0x42e85d5e, 0x35933510,
+    0x9526a31e, 0xa8844714, 0x8c50b26d, 0x3a2da43c, 0x4b017617, 0x6e213525, 0x5a2f4605, 0xa8ab426c,
+    0x007e0527, 0x9d741955, 0x137555d4, 0x89cfa938, 0xb5a7f331, 0xc7db2acf, 0x27bdd82e, 0xf2e337cd,
+    0xc3923514, 0x673f0d31, 0x2c6a017c, 0xb6534472, 0x11f5610e, 0x0552ae48, 0x6fc4d02c, 0x35265a2c,
+    0xc60635ab, 0x9e7f6b5e, 0x65c5f8c3, 0x27cc3808, 0x4d469bfd, 0xf9aa92eb, 0x07122a49, 0x66f86fa6,
+    0x1aafb112, 0x0e8652b3, 0x0209531f, 0x3a129840, 0x1d9b5b71, 0xac1db252, 0xc11d4bf1, 0x1aaf38aa,
+    0xc2845276, 0xc94a7741, 0xa18ff300, 0x90458a0d, 0x4eb54447, 0xf7a9cd52, 0xcd5f3b6d, 0xab16583e,
+    0x1b33338c, 0x43beae99, 0xdf936d61, 0x93289c06, 0xe99d6125, 0x8362151e, 0x70a1b60b, 0x509ba178,
+    0x332a825c, 0x0952732c, 0x0879becb, 0xc80c8e0f, 0x766b9775, 0x9eea9a2b, 0xe258d5c8, 0xbc6e2d93,
+    0x52d779f5, 0x8e560068, 0x1790bc32, 0xdb29b394, 0x3033a06d, 0x44d095a6, 0x559493b3, 0x9f35aca8,
+    0xb36eb125, 0x747ff06f, 0x32e0e35b, 0x3f2921fc, 0xb7732add, 0x897e9562, 0x358eb79e, 0x3823f800,
+    0xc485c95f, 0xa2a34505, 0xa8216e22, 0x797db57d, 0xca4ffcb4, 0xd44b5b88, 0xdd6c30aa, 0x8d7e44f6,
+    0xbeea2e10, 0x9edd5031, 0x7eda69ef, 0x5a3b2b71, 0xd76d847f, 0x1447cc0c, 0x47a24935, 0xb3c969af,
+    0xd81a9145, 0x2001f289, 0x6cca6c83, 0x519b6309, 0xa85a3605, 0x779b095f, 0x50c12f67, 0x93ad1571,
+    0x0679db53, 0x11a56176, 0xb4aabdf1, 0x53a213a0, 0x7364a073, 0x449ff54b, 0xb15e86e3, 0xe27d99ec,
+    0xa8132b50, 0xee065a5d, 0x91e5b566, 0x22f7bb86, 0x1ae252c9, 0xa4a20e40, 0x15522969, 0xfbf618a1,
+    0xc10712ab, 0x2de04c62, 0x89d833d9, 0x91e3ef16, 0x219a08ca, 0xb1802a97, 0xc010ff3a, 0x3ca56b96,
+    0x11605217, 0x60cddcb9, 0x55e3bc6f, 0xe74f5f82, 0xadedb9c7, 0xc1ea235b, 0xe9d228f8, 0x1ca6c217,
+    0x8d43b59d, 0x659ccec6, 0x1f30120e, 0x23a8c98b, 0xccc2663d, 0x09f81548, 0x9d7fc81e, 0x71d476bd,
+    0xbbb2ecb8, 0x9293fef4, 0x29f6e461, 0xc592f93b, 0x9a0b8a00, 0x2af48922, 0xde419f22, 0xc14ef046,
+    0x42727bfd, 0xaa67683d, 0xb380e95a, 0x8a40bccf, 0xc11c0c89, 0xdfec9e1d, 0xf3d5e067, 0xfb80f029,
+    0xf50dcd07, 0x56de0071, 0x466176cc, 0xc8fd2b41, 0x5ee5b5d6, 0x3ac2c364, 0x44973235, 0xab301ce7,
+    0x741a707c, 0x59a676a8, 0xcbbfcea2, 0xc1a19882, 0xf2b57a8a, 0xe5a92598, 0x4d05ccea, 0xd63304e5,
+    0x76c58319, 0xfe96ab34, 0xbb66f1fa, 0x2482dd02, 0x8a80e5a9, 0x57e15f7e, 0x4772f892, 0x4c03b61f,
+    0x719bc0bb, 0x79b369b8, 0xd7f1fdcd, 0x286efdae, 0x32185f2d, 0xa9671957, 0x1c065a58, 0x345e8b5e,
+    0x1edc76ab, 0x16ed894f, 0x11a563ff, 0xebe0eb5a, 0xf8c88fe3, 0xa8a28469, 0x876b1931, 0xeb5eca43,
+    0x7bdb5acd, 0x4084878d, 0x8df43d74, 0xac557ebb, 0x857214ca, 0x179aa63b, 0xbb2fdf26, 0xa7a22991,
+    0x2cf3a3fa, 0xa61428f8, 0x6758541d, 0xf0623ee3, 0x66c7016a, 0x11cc0773, 0x8036182c, 0x9938a93f,
+    0x642d5a2a, 0xa32a44a4, 0x6642e4c9, 0x120e1b8e, 0x4691cbe3, 0x6602a54e, 0x11878fae, 0xd53ad9f5,
+    0x36ae376e, 0xa4df7c3c, 0xf8792b3c, 0x85d0ee5d, 0xcd734528, 0xd2aec25b, 0x77596b5e, 0x876ef14c,
+    0x63896bce, 0xc45f76d7, 0x9d472d27, 0x4d2d782b, 0x53a6bcab, 0xa5f14f62, 0x596a1902, 0xa32203c4,
+    0x00000000,
+    0x80592811, 0x80db6a04, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000166153499473114484112975882535043072 */
+  { 0x00000000,
+    0x052bc9cc, 0x2fdbd853, 0x70475e4a, 0x419825f8, 0x4770a99d, 0x37ded3bb, 0x881653a5, 0xd5720228,
+    0x179ced93, 0xd640bfbd, 0x633249dd, 0x7b430532, 0xff16a471, 0x782065aa, 0xcbdd77cb, 0x3a16a0e9,
+    0xfa8c16b0, 0xf00c847e, 0x3d2d69cf, 0x1191cddf, 0x048297c6, 0x05b6dc9c, 0xcca52446, 0x8282a15f,
+    0x42462745, 0x3d020686, 0xa06221f6, 0x9e0ad2d9, 0x85c6600f, 0xb9c8a343, 0x2ffd7aa5, 0xb2b397f2,
+    0xa2b48e50, 0x49ab87be, 0x61b01bbe, 0x299ecaa0, 0x405b53fb, 0xdd0f16e0, 0xf268d3fe, 0xff83e9a3,
+    0x573abd2f, 0x945b019d, 0x1ed4885e, 0x8926fda2, 0x0166dc3c, 0xb97e4dbd, 0xd1909c3f, 0xeaf3aa99,
+    0x7815970c, 0xf8e8bb6f, 0xca5de1f2, 0xbb34ccc3, 0x49506cd7, 0xfb0d6099, 0x314b2378, 0xb826a8e8,
+    0xa12ee6df, 0x32f85d37, 0xecedb1c4, 0x796645e6, 0xfdbc0fec, 0x80676abc, 0x8dc72037, 0x66252baa,
+    0x23d72567, 0x0973b397, 0x8899857a, 0x35a7929f, 0xc8638c89, 0x457fb4ed, 0x5917ae0b, 0xc4befb4a,
+    0x28a5ecb9, 0x7221b579, 0x7aabe78f, 0xee91ef3d, 0x2ce94262, 0x8283e35c, 0x0d5d3194, 0xaa969616,
+    0xf42c14f3, 0x30016f40, 0xf274ba4b, 0x77e84ada, 0x0b7d10d7, 0x52e687b5, 0xc0ae2a51, 0x66847655,
+    0x08f13324, 0xf019646b, 0x19e6895e, 0x51e4046c, 0x23f79a21, 0x8caadbb2, 0x6f2185a1, 0x55043b30,
+    0x66dd1f20, 0xddd613ce, 0xd9710c4f, 0x3c898094, 0x49141925, 0x909fef10, 0x0ca267a2, 0x3f3edcf7,
+    0x45a9af9e, 0xea9c41d5, 0x69b64eb3, 0xf46d6dc0, 0x43d6a7e9, 0x0388bb82, 0xb725acc1, 0xeb6a21f1,
+    0x18d4bc3c, 0x45bf612c, 0x6837c532, 0x3a9201ff, 0x7606c38a, 0xebeecf8f, 0x64c2219a, 0x1a8a3b14,
+    0x37c75e13, 0x73187806, 0xb73811bd, 0x52f92173, 0x24ea89aa, 0x497588f1, 0xc7702513, 0x2802a1e3,
+    0x765c2842, 0x8f397bd3, 0x6f265477, 0x2960ec38, 0x4c8ce070, 0x85395530, 0x81f02169, 0xa6e686b8,
+    0x8d5da177, 0x701618e5, 0x3968f115, 0xdb4de4cc, 0xaf32a53a, 0x01fdd35c, 0x6f7168b1, 0xcf94d566,
+    0xdf8d8af9, 0xf0e4272f, 0xbef3d3d1, 0x2ccd2bad, 0x239ca0ed, 0x23a12897, 0xb2f97d32, 0x5f78de9a,
+    0xa61402c8, 0x16b51e27, 0x80938d24, 0x85bbc859, 0xabd6e2bb, 0xaa5cbace, 0xfcd6b8be, 0xe1f276e4,
+    0x08796a5d, 0x9c820a74, 0x1eb60d4e, 0x8601ffe4, 0x569e9e63, 0x03bcc016, 0x7d81e41a, 0x0fec3c1d,
+    0xda739399, 0x37c51bbc, 0xae9d290e, 0x8132e9b6, 0xe30fbd7a, 0xf0c231bf, 0xc2f0e026, 0x9afb2838,
+    0x0ed20d06, 0x576928d9, 0x61e3f565, 0x525cd786, 0x36fde890, 0x4c7056d9, 0xc1e3c628, 0x506dd866,
+    0x491d8a07, 0x7f3fa185, 0x21b73c28, 0x099774d1, 0xf58136da, 0x9eb98706, 0xade1ae53, 0x5f585c5e,
+    0x799e3616, 0xa5b34dce, 0x0cd3f6a4, 0xfd037697, 0x2f7def5e, 0x1689728d, 0x7a120d9a, 0x74494340,
+    0x9d115c1c, 0x46861322, 0xa073c600, 0x5d39309c, 0xc4643b6f, 0xff1eaa9e, 0xc7644004, 0x4ff5d6a7,
+    0x692e3ceb, 0xac429a29, 0xafb79976, 0x6fdc0198, 0xcc5a65de, 0x21ff947d, 0x8dbe7a91, 0xd57acc48,
+    0x1746baf1, 0xed2c8290, 0x8b1d1189, 0x3524e1ab, 0x2c46b045, 0x79b21af4, 0x93527cea, 0x07dff469,
+    0x85851563, 0x7be98177, 0x9aee818f, 0xc26b6039, 0x61af3c2b, 0x3d0ac99a, 0xe3bba420, 0x338f8c8e,
+    0xded99a71, 0x6ce4140a, 0xcdd737f5, 0x31263f3f, 0xc621e428, 0x4278e8b5, 0x427c8828, 0xa4f35d4d,
+    0x8d4c0b45, 0x8f91b376, 0xdc4e48ec, 0x0b68e39d, 0xa4f9860d, 0x71c619a3, 0x732706cb, 0xa3b0499a,
+    0x55bdc430, 0xf868086c, 0x1766d368, 0xebb5e489, 0x3254932e, 0x27c7a75d, 0xd712a4a6, 0x77257df4,
+    0x8eb5ab7a, 0xdd073f47, 0x494c88cb, 0xd10493c4, 0xb41c70b0, 0x5c8599d2, 0xda469d9e, 0xc74da336,
+    0x6497e2f6, 0xe3bd4fe3, 0x4322b8bf, 0x40448aa7, 0xfa48e371, 0xe8c30108, 0xc1d0377c, 0x743383ca,
+    0x27b66091, 0x3ee5c892, 0xadde37fb, 0x2655e13c, 0x169a2557, 0x8369cca9, 0x853f9343, 0xb736ba7c,
+    0x690c0973, 0xc529a7df, 0xb986bc0e, 0xc9d77752, 0xa509de81, 0xebf0ef6a, 0xc1fb249f, 0x233fec85,
+    0x4fdf76e5, 0x57710e4a, 0x2fed29a4, 0x109f6733, 0x538bdda8, 0xb2e02bfe, 0x0f6d9e30, 0xb5156c99,
+    0x9a3ed1b0, 0x3bb00ca1, 0xc8f86f04, 0xe4733bd2, 0xa39192e9, 0x774b5e21, 0xe60ec8c1, 0x5cc67fd5,
+    0x626ecd2b, 0xcb4561bd, 0xc23e9196, 0xeb8a5679, 0x36ed10dd, 0x1498b286, 0x2d28616f, 0x580a53db,
+    0x7acaac07, 0x749d5daa, 0x52c21b31, 0x34504e3f, 0x0b709773, 0x421cac23, 0x79ca1676, 0xfad8f371,
+    0x341e22a0, 0x95da743f, 0x7bb687ca, 0x3656aaa4, 0x5d7af54d, 0x9ace08b1, 0x5542d9b7, 0x096264fb,
+    0x47c0272f, 0x236d6313, 0x6683a3f1, 0x4e39c638, 0x7feb2a67, 0x70fa3e23, 0x5faa5286, 0x04906929,
+    0x2135370a, 0xd6aeed53, 0xd193761f, 0xeea1f86e, 0xa6a9e39b, 0xd7f5dfe2, 0x7cc04726, 0x40dc67cb,
+    0xb4f23a9d, 0x2096464e, 0xf5c669bf, 0xfa156858, 0x702ac427, 0x3daa3b42, 0xd54fad38, 0x9588eeea,
+    0x7299c608, 0x42a85cfc, 0xe3dacd26, 0x9edbd580, 0x7b19a7a7, 0xdebf021f, 0x1912c02b, 0x02504c8c,
+    0xc276e60d, 0x7113e156, 0x125515c9, 0x082dd3e4, 0x174185f9, 0x3db1cb77, 0xe309f66c, 0x20a37a04,
+    0x119e9d25, 0x4d6d5f92, 0xc76ade9a, 0x8dc9f31d, 0x6e532cae, 0x3056e973, 0x804a3e3f, 0x20374560,
+    0x29bf5481, 0xf3173c93, 0x4c1e4dda, 0xe33ff727, 0x9d1a3380, 0x327de8cb, 0xd3b38733, 0xc816c0ca,
+    0xf06d4668, 0xbb459c07, 0xf684256d, 0x994bf201, 0x038f3e55, 0x33e4eff9, 0x03bdd730, 0x1385a62b,
+    0x276a2290, 0xaf14f96b, 0xc23cea24, 0xfbda00f5, 0xb3be2d2e, 0x3516145d, 0x8ffa530d, 0x97c0d32f,
+    0xb4b0249f, 0xc0cec01a, 0x9d488cfc, 0xa5712f4f, 0x68d1264e, 0x074b3c02, 0x41f8a4b9, 0x6ee2dc49,
+    0x9f95320d, 0xf23c9e74, 0x60421c20, 0x4a4e79f6, 0x4851076b, 0x16be1e9e, 0xfcc73014, 0xbd8988ef,
+    0xbca2f760, 0x71b5e8a3, 0x2b092841, 0x1f4ba966, 0x621456ad, 0x47665745, 0xd258e10a, 0x6305b9ef,
+    0xf0e79527, 0x9cb279ce, 0xe098e67d, 0xff833999, 0xfb77e9d5, 0x84fc7a48, 0x1f9ddbb9, 0x8865718e,
+    0x71a37537, 0xc749b99e, 0xc5c3f7e1, 0x6b33e12d, 0x820673a2, 0x8027bf6c, 0x317587a0, 0x4aef7acd,
+    0x0e613dee, 0x33b30564, 0x8544de53, 0x8c20c911, 0x8b5b8d44, 0xa68e95c1, 0x2987e519, 0x1a9e165b,
+    0xd3a1cb25, 0x19251912, 0xbba4e9ea, 0xc4fab760, 0x03cea493, 0x55408110, 0x581f19a1, 0x3b763b61,
+    0xd6cb3d9b, 0x1312c43d, 0x5b646578, 0xbd5cd198, 0xaf6fbcfd, 0x13c99283, 0x940912e5, 0xf43cafdd,
+    0x4596344a, 0x41ad3b61, 0xa0ca6aa6, 0xf4cb976d, 0x69027a42, 0xf396345e, 0x06736b56, 0x87456018,
+    0x2946668c, 0x747cecc7, 0x4a3e24d5, 0x3709177b, 0xc5da080f, 0x23660bb8, 0xc1db205a, 0x360f5d12,
+    0xfffc5db9, 0xd655e034, 0x8f161610, 0x769028ca, 0xd14f99f0, 0x97e63e50, 0x4d0e21c0, 0x58ca0451,
+    0xf03b8a7d, 0x842e6bda, 0xc3a2d713, 0x9bb2de82, 0x423f88e4, 0xc9898bc9, 0x5b9246e9, 0x6b996be1,
+    0xbaeb64d3, 0x93311a19, 0x7b72e9b6, 0x07a12353, 0x5de99096, 0xff636eca, 0xf598f3c6, 0xa53801f8,
+    0x2719b840, 0x8e9915cf, 0x460b50bb, 0xa1836330, 0x7517dac7, 0xe0b10a16, 0xbb165406, 0x7a3805db,
+    0x7584aa29, 0x25df978a, 0xb8e3e58e, 0x9ea41f52, 0x3d45c51f, 0x5da5b0cc, 0x4f83bd1e, 0xd6e3f6ec,
+    0x2e36d3a8, 0xd5b17845, 0xa6d77e31, 0x892599ad, 0x60fb44cb, 0x04a19f8c, 0x36e631ba, 0xd78c8a08,
+    0xc55c649f, 0xfd16cc42, 0x05cc7d62, 0x853d90c0, 0x37bc6417, 0x4dc016d7, 0x6332c297, 0xd0aef213,
+    0x91acc2f1, 0x1b28b6f7, 0x9fb0ea6a, 0xc56a1b4a, 0xb18232e6, 0xa48b886e, 0xf920b4f6, 0x3a376b8c,
+    0x42dc6152, 0xa8a1a442, 0xa4b0eaa8, 0xe56ee114, 0x8b8f0710, 0x6d78e5f5, 0x8cde12e6, 0xca01f378,
+    0x1c511180, 0x5f75bcf6, 0x23bd9895, 0x1e872ac7, 0x3ede87c6, 0xe2bb8295, 0xa32e5d13, 0xe02aadf1,
+    0x501ffa7f, 0xf9a5ee62, 0x2113cb1a, 0xd03fb317, 0x8bd38f43, 0xac33f99f, 0xcda476de, 0x6d981543,
+    0x245a2d86, 0x9b8da63d, 0x5db1fcbe, 0xbb9fc2d6, 0x0cfb9c31, 0x3c65ab60, 0xe87be7fc, 0xf7beeae0,
+    0x7dc29828, 0x129b98c0, 0xb8f29a52, 0x5dbd5894, 0x200a1e65, 0xee1e3828, 0x0a1bdac0, 0xcab26059,
+    0xb8957663, 0x2ecc5731, 0x313b6bcf, 0x7e3e967f, 0x76621863, 0x3c4f9028, 0x02a2c931, 0x51cb9921,
+    0xde5a38bd, 0xabdb8b40, 0x8ca1e64f, 0xf8b182a6, 0xbcd6719c, 0x24b070a3, 0x06efdd46, 0xff38ff70,
+    0x2b913b50, 0x4307945b, 0x12121b52, 0x6664fb4f, 0xc8087d8e, 0xe55769ad, 0xfcce90e1, 0xb3ca21f7,
+    0xa0df533e, 0x50335462, 0xe8c567ca, 0xe4be0475, 0x0fe9df3f, 0x24630f67, 0xc5345de3, 0xbe31bd88,
+    0x73a4157b, 0x0a541a1b, 0xb7d18e0a, 0x09e6daf4, 0x4bee85c9, 0xb49d653d, 0x40156ff0, 0xb56bad5d,
+    0x234b461b, 0x470e7698, 0xb8e684ab, 0x2d6f1b0f, 0xf6b100c1, 0xbe786e4a, 0xd05e90da, 0x70863b9a,
+    0xaa32804c, 0xfd505271, 0x7fe621d9, 0x83abe1a3, 0xd12e4def, 0xf0778fb5, 0xb22d6e6c, 0x78541125,
+    0x71039a1b, 0xc6c6490f, 0x7f67d5e6, 0xe313b914, 0x35819cac, 0xdd63d416, 0x62b817d5, 0xb0360501,
+    0x493193c3, 0x0df56ec3, 0xc71efb31, 0x4efbd063, 0x05fa7707, 0xf2e9c424, 0x8317f40f, 0x397534a4,
+    0x7693e411, 0x2d6a357f, 0x72e67263, 0x3d662d4f, 0x5be6849d, 0xb778271b, 0xf08b484e, 0xb8f67383,
+    0xd4387226, 0x1fb83063, 0x021bd8c1, 0xcaeba17e, 0x8acc6845, 0x31be07de, 0xa05f2af5, 0xb10ba518,
+    0xd6bdcbad, 0x0bf9d793, 0x1f4be9b6, 0xd09b2207, 0x16b59595, 0x7956b94b, 0xb431ef08, 0xbedf0b73,
+    0xd7d8b162, 0x5d205208, 0xdbd1f797, 0xe7dd90fc, 0xb76250d1, 0xe731d334, 0x6dbde2f9, 0x2bee75fc,
+    0xc6e33738, 0x0d72b056, 0xda3dc6ce, 0x83eeb3a3, 0xf339166f, 0xc90e0d71, 0x89da1935, 0xe6f01f3d,
+    0x33f16a6a, 0x995833bf, 0xe51ecf5b, 0x49f677f0, 0x218f0536, 0x4a6ac72e, 0xa307380c, 0x51b52031,
+    0x69132944, 0xc82e4d45, 0x88466fae, 0xf78cb641, 0xe89384b4, 0x5c9690af, 0xd006b4b2, 0x7adf16a2,
+    0xf816b6a2, 0x5c395c9d, 0xd5487819, 0xcd478e33, 0xf33f7774, 0xfba0ff7b, 0x85c70831, 0x112f3908,
+    0x80f7b48c, 0x91f04117, 0xc2e2634b, 0xe2fcedb7, 0xb14e3c3f, 0x93bd0bde, 0xcb31851a, 0x57dfe29e,
+    0xa9d0c167, 0x5611971e, 0x94cc3e3c, 0xf2a82046, 0x6b84be55, 0x21756aa8, 0x87a2aabb, 0xde6a245a,
+    0xeab23501, 0x7cb64f07, 0xd236dbb9, 0x4ef748c6, 0x5f967f5e, 0x1d8ce365, 0x7d29ce71, 0x10f36dfd,
+    0xee5d8e14, 0xd34d3c1f, 0x4c7adff5, 0x34b57bea, 0xfec173fc, 0x8f17001c, 0x3d1201fb, 0xfa68aa24,
+    0x94ebf045, 0x7eea0aab, 0x0d809a8a, 0xaec5580a, 0x04b65175, 0x922f0723, 0xd6cfa851, 0x02f5cc97,
+    0xcd8bbf44, 0xb79072ef, 0x76ec92bf, 0x5dc2b6bc, 0xb1e6892a, 0x44653320, 0xac0abf40, 0xc93779d1,
+    0xcf33ebe1, 0xfb8fcd02, 0x4334ee25, 0x43ae214e, 0x77136126, 0xaa759a99, 0x03e9ef5e, 0x8a2775ce,
+    0x1e85014c, 0x396b065e, 0x40ae136d, 0xc4302da9, 0xcd471a17, 0x7b2ae628, 0xb6950548, 0x6d5f52d9,
+    0xffc3a751, 0x9c6edd33, 0x05c17870, 0x2c8ba214, 0xf40782f2, 0xda1ec7dd, 0x1653f3ff, 0xb1028276,
+    0x2dd96424, 0x4eabcd99, 0x491335e1, 0x47ffb1f5, 0x750af51b, 0xb9c44042, 0x7d0d7fdb, 0xc32f31f1,
+    0xae429a95, 0x1978b3dd, 0xaf586a21, 0x58f8efe3, 0xfc7d3c20, 0x1d829add, 0x87913598, 0x4eebd6e3,
+    0x5ccffbef, 0xcfe6ec15, 0x059a7450, 0xa0cd2e98, 0x5307a1ab, 0x1d8ae9c5, 0x3f775176, 0x4b0a4077,
+    0x1e02ff9d, 0x8efda1ba, 0x868efa2a, 0x67655e1f, 0x9484b2f4, 0x8e3409a4, 0x1391d487, 0x7989983f,
+    0x2ad7458b, 0x47153bc5, 0xe56dee13, 0x59b37f9e, 0xebe6ab78, 0xab1565de, 0xc72c90b3, 0x26aff3c7,
+    0x9103ffeb, 0xbc114901, 0x07d952d4, 0xd8f8aefd, 0xa102ce11, 0x0aae716a, 0x13cec0a5, 0xbe9a4be4,
+    0x312f0c7a, 0x20e541d3, 0x1cc9d560, 0xfc4c4b99, 0x129f3494, 0x18e05a0a, 0xea9d7799, 0x52a8b892,
+    0xa16c2158, 0x51fb0c70, 0x03b97d78, 0xffc7188e, 0x70bb04d7, 0x8277af37, 0x86e1609b, 0x79a6fcec,
+    0xc411050d, 0xf07ea8b9, 0x60610194, 0xa2b2b0c1, 0x1b08c18c, 0xc12b4dc5, 0x1b24e9a2, 0x12ea4cf7,
+    0xc779b0d5, 0x86ddb7ec, 0x0dbb020c, 0x86177833, 0xf26cf953, 0x17aa9479, 0x29b9b4fb, 0x263661f3,
+    0xcda7c5af, 0xe9e87c35, 0x0a4277e8, 0x6816186b, 0xaf09228a, 0xbd3adc3f, 0xa5e3f198, 0x50e0125f,
+    0x0aeb7b8c, 0x5b54bd02, 0x17c3104a, 0xf72cf496, 0xe9c8a91b, 0xeb69ac6e, 0x63048991, 0x056eb462,
+    0xdd2e3636, 0x6496526b, 0xc9ba8ffd, 0xcb02827a, 0x6339656d, 0xa112d2b7, 0x3b898936, 0x7586734a,
+    0x09fede3a, 0xbc769111, 0x6b5b5dbc, 0x3a7cab93, 0x8ed5484b, 0x3e661835, 0xdcfaac67, 0xc5404a2e,
+    0x533146d8, 0x7f4f9182, 0x34d61bf1, 0x6e5f1312, 0xbb1b21bb, 0x3de809b4, 0xc5fa87da, 0x9c1ebfa9,
+    0x804b382a, 0x253574cf, 0xfb3d8687, 0xbbc2acec, 0xca10b75d, 0x12685ae8, 0xcda3f727, 0x5df448ee,
+    0x5e37579e, 0x05b531ba, 0x3a1d5c47, 0x4ea13e6f, 0x707d584f, 0xd183eb65, 0x23d4ef3e, 0xaf7d2066,
+    0x57c3013a, 0x7736fb6d, 0xeb3e35bf, 0xb9bf92ca, 0x5dbd5f2f, 0xda8b74d3, 0x6de8ea19, 0x03f1313e,
+    0x411e8096, 0xa6533129, 0xcd87971e, 0x27c0663f, 0x825bb044, 0xe1bff752, 0x611a23ea, 0x76e9f964,
+    0xd71b32f4, 0x3a0d5d22, 0xeb2571f3, 0xab294a3a, 0x36e0128f, 0xdbc13c36, 0xfc52eedd, 0x02741cbf,
+    0x2942d530, 0x694883bd, 0x0c991bf9, 0xf8cb3b13, 0x259a0eb7, 0x94455e76, 0xdb781621, 0xfe32c52a,
+    0x1eba76b3, 0x69b326f8, 0x6b5bcf88, 0x89be6433, 0xb204fd9f, 0xcba2009a, 0xdbab0b15, 0x89a74a88,
+    0x18fd3b80, 0x88d05394, 0x5bb4d27b, 0x4144e0b7, 0xf7484611, 0xfd9fc4b1, 0xdd5f6017, 0x85e76ed1,
+    0xc9981557, 0xc5ceb96c, 0xdf74b0ef, 0xbfc59561, 0x4d519395, 0x812a1cd4, 0xaf3c2d14, 0x8cd9b51e,
+    0xc927e646, 0xaaa393e3, 0x698909f0, 0x9c256df5, 0xea22b51d, 0x5f0107e4, 0x499e39bc, 0x47ad795d,
+    0xb028de74, 0xf25d7b68, 0xaa1c9986, 0x00ad8224, 0xd232c988, 0xfc0d73b8, 0xa981bb86, 0x7136122e,
+    0xa5013c7c, 0xaffce14d, 0x3941548c, 0x13e7e761, 0x543b6d6d, 0x61dd93e5, 0x34b265ad, 0x9080abbe,
+    0x00000000,
+    0x402c9408, 0x406db502, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000083076749736557242056487941267521536 */
+  { 0x00000000,
+    0x8b990fdc, 0xd5eae56e, 0x49e4e04a, 0x45289d64, 0x0cb18fdb, 0x4febbe92, 0x53600633, 0x4234baef,
+    0x3f483751, 0xdedbf541, 0xbae29d40, 0x7dfe81fe, 0x4b01d992, 0x5c61b2fa, 0x498c37f2, 0x7e6c99fb,
+    0x3b5bbea1, 0xca1a26af, 0xd3016382, 0x8303ed35, 0x39eb4e97, 0xd4a1de07, 0xce6bdeb0, 0xff088356,
+    0xf2b98ed5, 0x0f87d485, 0x70e135e1, 0xc61d0144, 0x28eceb39, 0xf6341aa8, 0x90d5effb, 0xa2f2a1fe,
+    0x13defcd1, 0x48fdb44d, 0xb6cfff82, 0x0611b4f7, 0x2ec6a19a, 0x0c84437b, 0xb7aa46f3, 0xa8775a66,
+    0x645e34f6, 0x48e7ffb5, 0xfa829b81, 0xb729486e, 0xedf4a31a, 0x04dd4dcc, 0x75e92017, 0x6b80422c,
+    0x7a619f54, 0x06c0fefe, 0xec53d880, 0x3d6a72fa, 0xeb7bbe77, 0xe79a33c1, 0x21834364, 0x40cf1dfb,
+    0xdddb1828, 0x2f12ba2a, 0xe8c78f4b, 0x3a4bf093, 0x853e62bb, 0xda45fee4, 0xa4135d63, 0xef52bf88,
+    0x065c07ca, 0xddfd8ba1, 0x4a8b4069, 0xf59eda7d, 0xa2c89c0f, 0x1b44c66b, 0x64528a25, 0xfba3175d,
+    0xc5913048, 0x4b4799de, 0x924fc693, 0x81a5b18c, 0xc51e38a7, 0x951b1cd8, 0x4c610e5f, 0xe95ec6c5,
+    0x4642d5e2, 0x664f47bb, 0xdc7753f4, 0x455c76f1, 0x0051f659, 0x3f59eb7a, 0x823e0a3a, 0x3cdc845b,
+    0xcf1f4447, 0x40f30f9b, 0xa22a2b5d, 0x5529b5c0, 0x6d247970, 0xf3a62a83, 0x3ced69c1, 0x41c9a356,
+    0xec4931c7, 0xae1c4d09, 0x9fe218ac, 0x282f26a4, 0xdb8529c5, 0xb9464bb9, 0x3d709878, 0x23872ee8,
+    0xa7d44a83, 0xbd846397, 0xf8f5f360, 0x4db87a7b, 0xf38b66b3, 0x86bbaa07, 0x83554fae, 0xc4ea08e0,
+    0xc59132a9, 0x4e9b25ce, 0x4cc64388, 0x0e90eedc, 0x13ba55e3, 0x2efab145, 0xdb7a47c5, 0xb18f9552,
+    0xd69bb476, 0x3a19f658, 0x94384404, 0xe3234b08, 0x4963008b, 0x307f5a34, 0x69904a6b, 0x179a906a,
+    0x578cf25b, 0xaae3be01, 0x95bea4c2, 0x77edf9e4, 0x87e2d168, 0x859a8e94, 0x67677bb0, 0x854d3c19,
+    0xf65ba7b2, 0xd5c084e6, 0x18448c6a, 0x7c6aa459, 0x3e46e1da, 0xf47900fd, 0x2503dd1d, 0x03b6fff2,
+    0x66189226, 0xdc88f3e5, 0x201d7f48, 0x4bd1d28f, 0x9e3b6331, 0x936154da, 0xe6f19160, 0x80ed58b5,
+    0xa19df638, 0x92694f5b, 0xbe5b3c80, 0x236b164b, 0x51de17bf, 0x4c540a60, 0xabc1e20c, 0xfc6e69ea,
+    0x5a08e325, 0x4969d5e3, 0xea3ad650, 0xac54d4fb, 0x9faccee0, 0xfb5f3bb6, 0xba84818e, 0xff0fd9cf,
+    0xa6305999, 0x1f7a10d3, 0x08409a79, 0x9b235308, 0xd4a03081, 0x44dc28e7, 0x0ae18528, 0x21fc766f,
+    0xe9d7694b, 0x9fff298e, 0xdbeb215f, 0xd51c7fd8, 0x49dd2220, 0xa9615108, 0x05e63da3, 0xb15783ce,
+    0xda441f86, 0x3bce69d5, 0x83073b7b, 0xc3e13f21, 0x8bf6ef35, 0x6cd2dc07, 0x14341fcc, 0x2a6b3511,
+    0x7e661ffa, 0x82a51b52, 0x8ea1a33e, 0x77e7baab, 0x60a760b6, 0xe6441cf9, 0x7ca0cf5f, 0xdc647545,
+    0x4740b08f, 0x09be29d3, 0x5c208a7a, 0x65b15e0f, 0xbf4ee6d2, 0x493a49bd, 0x6017fc52, 0x0317e235,
+    0x9c7c15ef, 0x7f4676f6, 0x22e288cb, 0xe8284645, 0x691811aa, 0xeeede66d, 0xf9333e92, 0x3db5d0d6,
+    0xd09724cf, 0x112fabcd, 0x12ecca37, 0x76435b25, 0x2d1d622e, 0x1dd3d855, 0x1efecfdf, 0x911ba1c5,
+    0x93025f83, 0x05e6416a, 0x1be64428, 0x8cf52ffc, 0xca1a273f, 0x5aa71a55, 0x6e6d3e53, 0xda6f7ca9,
+    0xfcfb1c8c, 0x02bf007a, 0xf4d6f9ad, 0x47cf30ef, 0x44811f43, 0x961e745b, 0xa668a59b, 0xd518aeea,
+    0xc7c943f0, 0x61cf3e15, 0x034d287f, 0x0d38d1e1, 0xcdd4d58b, 0x0b9b9edc, 0x314bcb4f, 0x9c15e0ec,
+    0x1a3b0123, 0xfe2d3153, 0x82c7e435, 0xe075c32c, 0x7f680c75, 0xcbdbe2dc, 0xc786bfbc, 0x90314fe4,
+    0x094d98bc, 0xd3725225, 0x87924270, 0xeda46920, 0x542dd7f6, 0x85208f84, 0x5d2d5b7b, 0x7300be24,
+    0x37c851c6, 0x277a2c51, 0x649441d0, 0x5830e1df, 0xb6a2c027, 0xd4f1f3d4, 0xdf610dcd, 0x24724e2c,
+    0x43f6f717, 0x662d2ef2, 0x77df93e5, 0xdf77fcd9, 0xb4cf919e, 0x27c92ec0, 0xa2ecf6e1, 0x2aecb1bb,
+    0x0c01f3db, 0x7e5e18a5, 0x730af582, 0xfe06ad29, 0x03cbb12d, 0x2ea3f486, 0x2ec0ea53, 0xf4c47ba6,
+    0xa4ca41b8, 0x6b5fdd49, 0xed012538, 0xac5bfa30, 0x5bb2ebf0, 0x2780ec38, 0x807d5684, 0xd918ce16,
+    0xde74ffac, 0xb19bc3e2, 0xba3c4e61, 0xae45f6fb, 0x0ba657c0, 0x894f9857, 0xef98aba2, 0x284ac7b3,
+    0x73b5dcad, 0x6c3a40ac, 0xf7e2c82f, 0x769f0ff8, 0xc945ac05, 0x8a4e3f79, 0xe9a33d7e, 0x2d286220,
+    0xd8f71cee, 0x5082a878, 0x563b44f2, 0x9ec8631f, 0x2787f2ea, 0xe426f2cf, 0xd2714215, 0xb6d5b4ae,
+    0x72daf321, 0xdcb19900, 0x6750a310, 0xa813bc05, 0xd19bfb4b, 0x13cac909, 0x7013fbe7, 0xa0560fc1,
+    0x44b892cb, 0x19e87651, 0xacc9cf5f, 0x03a3973a, 0xd0b7aa27, 0x04923e7a, 0xcc284b5a, 0x2762c0ab,
+    0xf00d9c71, 0xd1506a17, 0x4fc9c4c8, 0x6b6bd2be, 0x0cc10c83, 0x3a8c7401, 0x8af1139d, 0xbb6c3d8e,
+    0x77a80f84, 0x01f31508, 0x859a59d0, 0xe64018cd, 0xae19c82d, 0xca137591, 0x7b9e8075, 0xdf36e5ef,
+    0xc0683769, 0x6494cdfa, 0x161ad254, 0x42ed1f0d, 0x64415226, 0x9aefb113, 0xf6789420, 0xb724e46d,
+    0x75b67acd, 0x5d72f69b, 0x928c78a0, 0x35dc1b1a, 0x582a9962, 0x30ff0e75, 0x5a3b6f45, 0xa9314922,
+    0xda3df267, 0xaab4afbd, 0x530adb90, 0xb206b02b, 0x4a186da1, 0x03d381b3, 0x8b6a9f24, 0x13357152,
+    0x88014dd6, 0x16048486, 0x25e8a44e, 0xddc767dd, 0xf7782e79, 0x1eaed77a, 0x734df5e1, 0x3dd48b0a,
+    0xc0df7299, 0x1aae7508, 0x1f2e24ac, 0x5a58fae7, 0xb76996f2, 0xe3ece937, 0x3a2265fc, 0x0e933db2,
+    0x2daff1a3, 0xc21aa1b3, 0xafc8bc77, 0x5342c5ef, 0x157deeec, 0x10abb733, 0x91029e74, 0xe0e3b736,
+    0xd44ab44e, 0x24818412, 0xc3b0dcb6, 0x90a0bbeb, 0x18dc82b9, 0x8716e7df, 0xd94c8b9f, 0x4b1c2ba2,
+    0xb30717d3, 0x91a23654, 0x2d443c82, 0xa3b41a57, 0xe5a2c78e, 0xe9cfe8f3, 0xb22c029e, 0x62ce95da,
+    0x97aa772d, 0x12b52223, 0xae984636, 0x8135756c, 0x7cedd680, 0x50ac8b9a, 0x07e429b7, 0x59795938,
+    0x769d0fec, 0xbf4fdc48, 0x1f69cd44, 0x24cf4663, 0xe1951fb4, 0x51242859, 0x74a4ce07, 0xd182038e,
+    0xa49a033a, 0x235fe17e, 0xa4d152c8, 0x41476b2f, 0xd137ed9b, 0x920d174c, 0x8d425ca3, 0x21a3fd6c,
+    0x42f89b5c, 0xf564c6a8, 0x1b71d0a9, 0xbe9885fa, 0x98df3db5, 0x917e01e8, 0x632a9e1b, 0x2021be52,
+    0xc020f241, 0x20c5d8f6, 0xbc6b0d58, 0x0870dfab, 0x56ce4e63, 0x4117437c, 0x30de8f6e, 0xedc085a4,
+    0x4458cc4a, 0x756d5657, 0x3fa34000, 0x4d7fc599, 0xe5a144c0, 0x410f6d0f, 0x10547a14, 0xcf8491be,
+    0x279f2fae, 0xd6a3b961, 0x2a27b7bb, 0xc7546eae, 0xdfccde36, 0xf5ba7854, 0x9f7de975, 0xdd6cb6d3,
+    0x8c5d80df, 0x554b81a6, 0x917314f9, 0x9699bd64, 0xdcbccebc, 0x92ab9832, 0x08a01159, 0x80c8596d,
+    0x5bb58bbe, 0xf56cde9c, 0xa4308da6, 0xc3d0a677, 0xd53b492a, 0x8ff92e4c, 0xeb8b7885, 0x5e7377bc,
+    0x059f1a1a, 0x74966ca9, 0x986d823e, 0x44bce192, 0xea4c9fae, 0x9b26a493, 0xeebd7ed4, 0x247ebaea,
+    0xf9bf3bb4, 0xb7d6031a, 0xceb93be3, 0x2f643387, 0x6ff8772e, 0xce160e07, 0x09f2a141, 0x88020cf8,
+    0xea826324, 0xa48efa70, 0x8fb883ff, 0xacd5685b, 0x2b226ce7, 0x69dbdf57, 0x7fc399e5, 0x62d61298,
+    0xbaef9810, 0xcc95bf18, 0x2f7b6220, 0x4c5759f4, 0x418c22fc, 0x9085e59d, 0x2ffdb46b, 0x184479c0,
+    0xb3b5bf50, 0xdb7729b1, 0xcd8790c8, 0x48c80634, 0x8b22fcfb, 0x10a9a0f8, 0xb2fe141a, 0xeb79c45d,
+    0x704f4567, 0x6060f61f, 0x2c789a35, 0x2c10cd77, 0x16b6e8f9, 0x9df7efe6, 0xf460864e, 0x848824dd,
+    0x905ba118, 0xeea93364, 0xf11e42e5, 0x3bb7a606, 0x02823b04, 0xa88e45c3, 0xe1fc8efc, 0x9dea37d5,
+    0xe7f1c93c, 0xd913525b, 0x1d3e727d, 0x6d4f17c0, 0xe1a611b9, 0xc1c0e644, 0x602173dc, 0x42fb9e5e,
+    0xa77d6154, 0xdf1e955d, 0x1d24c404, 0x285586ad, 0x4ec4135d, 0x86925097, 0xe68a90b9, 0x961180fe,
+    0x2a604474, 0x6e88f26f, 0xd65dbb7e, 0x2cee61d9, 0xda3a7d04, 0x1898c464, 0xcbf41fb5, 0xa318bb02,
+    0x66bf0d6e, 0xe28ad017, 0xae9a9ea0, 0x5063263c, 0x210c874f, 0x8409b473, 0xf4ce6cfa, 0xb53da977,
+    0x02f42597, 0x0dd667fb, 0x2e823310, 0xf1cc6b3e, 0x88d1fe4d, 0xd614e4a6, 0x134b44a5, 0x70aff825,
+    0x123e4c3c, 0x5e640114, 0x20623537, 0x9e4478a0, 0xb8bbe321, 0x9ec344b3, 0x1e9abcc8, 0x294d483c,
+    0x3d232269, 0xb7f29a24, 0xacd514fb, 0x1d8bb17d, 0xc6ed75a0, 0x3f079100, 0x6456716e, 0xf64cb092,
+    0x18cbd800, 0x84438b30, 0xe5e76e13, 0x6c8ded50, 0x3216b90e, 0xd185f068, 0x34b266da, 0x6816ce38,
+    0x97a067ff, 0x81495def, 0x359dcf61, 0x7e721dc5, 0x22529125, 0x0d04a1e1, 0x90d8fa88, 0x90dc99ed,
+    0x14fad18e, 0xec3dcabb, 0x4c9b72bd, 0xe8f70452, 0x1721bd72, 0x8f61c6b0, 0xdc57ff80, 0xe95eb818,
+    0xba569964, 0xd673ffd0, 0xe757689d, 0x21df3e04, 0x15420fd7, 0xc105a013, 0x47c8c8d8, 0x5d7f5940,
+    0xe0018dac, 0xdcc7a4fc, 0xb36023b9, 0xf8d0c34b, 0x79592da5, 0xbc46af13, 0xe75105b7, 0xce5025cf,
+    0x8c9062b9, 0x77a93da0, 0xae2d8d8f, 0xfaaa3832, 0x24898b74, 0x1d3bd45b, 0xeceb856e, 0x141f626f,
+    0xe09461be, 0x74048661, 0x6c4c92fd, 0x00562c7e, 0x4215d107, 0x94149987, 0xb5b303d3, 0x3be7bf73,
+    0xf109d981, 0x39de50b1, 0x2033c72e, 0x0cc592b2, 0xf6b9a268, 0x7b880207, 0x3d77b8de, 0xdd6b08e0,
+    0xbef1aa6e, 0xfe67c65e, 0x8b55fa43, 0x2852aeeb, 0x7badd838, 0xa837c879, 0xd0c7e61b, 0x22228c12,
+    0x03bc0269, 0xffeac55f, 0xba6214a2, 0xe1c63979, 0x963d4216, 0xc63ef0f4, 0x47d25ff0, 0x8cf9eae6,
+    0x9dac5bf3, 0x6f14e558, 0x893002b9, 0x35d0fa6b, 0xd24a3610, 0xc72b4022, 0xabd19f73, 0x5c8b4782,
+    0x8f5fd0f1, 0xb7601a0b, 0x5226a24f, 0x1b7833c6, 0xd214d349, 0xf14c2892, 0x3a683ab3, 0x5ef2e68b,
+    0xfde4e0cc, 0x20a97a00, 0x101659f0, 0xa989d7b2, 0x3d67a209, 0x47c0b58c, 0x20d7a6cb, 0x3d09f3e3,
+    0x63cee926, 0x55da321c, 0x60560409, 0x4a92b5ed, 0xc65be4b3, 0x16a6f32a, 0xbc6e2c35, 0x5690b6bf,
+    0x98fb30fb, 0xf620c290, 0xc8a0b3cf, 0x1c85a0f4, 0xda79421f, 0x67bb11b6, 0xe685ddf5, 0x5ce610a0,
+    0xceea6f1e, 0xa2c088dd, 0x7a515147, 0x719806f8, 0x946c9fa3, 0xb2e73ddf, 0x47f46450, 0x52d5f5e7,
+    0xccd893bd, 0x0b45fd66, 0x7de7e09e, 0xf5ccf89a, 0x556af1a5, 0x8adc22bf, 0x73aaca8f, 0x80a4872f,
+    0xd84a8dbd, 0xa3b2ceea, 0xef067e10, 0xdf137dda, 0x0081b59b, 0xcb3397b3, 0x99ebc2b1, 0x4a16f14e,
+    0x010ae5b8, 0x14deed91, 0xc505e902, 0xa9f31e93, 0x82a7b71e, 0xb618ff6a, 0x095f5243, 0x7cd8e53d,
+    0xcd60b3d9, 0xae7f6d4c, 0xeccbd7ed, 0x731c2474, 0xebc04a25, 0x74a6e0e3, 0xdcfc186c, 0x2d2ebaa4,
+    0x160f47a2, 0xd92889b3, 0xa48059db, 0xea8d2768, 0xf4a91468, 0xf2f10b5c, 0x1a6cb7df, 0xfc507796,
+    0x0c92099f, 0x9b202e07, 0x42b508f9, 0x5d4ee3be, 0x5270d58a, 0xd41eda87, 0x90d81c51, 0xc1235cc5,
+    0xf6c40b92, 0x8f22954b, 0x039b55ba, 0x8eceaf10, 0x480c3fb3, 0xe8f912c8, 0x8e3fefca, 0x519de221,
+    0xb555285e, 0xba4131a9, 0x7a1c25bc, 0x61dc64fc, 0x9eaf26aa, 0x1425f0ce, 0xdfedc029, 0xd85b565c,
+    0x93497f76, 0x75f1d50e, 0x36be846a, 0xbd690f33, 0x7d3a7d56, 0xd8db33c4, 0x2c2047ef, 0x3d51b0ad,
+    0xe041803f, 0x065155cd, 0x3459bb26, 0x0d93fd97, 0x6d8c97de, 0x246a84e1, 0xbca3e81a, 0x9e60a1c6,
+    0xf700b238, 0xb9f70098, 0x1b34e7b9, 0xb152a2a6, 0x5390fc43, 0xb4324996, 0x8767ca23, 0x255d18a5,
+    0xcdbac694, 0xb56e48f2, 0x04e765a2, 0x5d68ddb5, 0xca8ea366, 0xb70ae0ca, 0x98f6a43f, 0x1e8526d3,
+    0x2cf4789a, 0x2b1f06c6, 0x9c53cf41, 0x56d4dab8, 0xeff69ef7, 0x7670399c, 0x3ac8c6c8, 0x591851d7,
+    0x7e141dd5, 0xeda2f608, 0x4efcf49e, 0xd0025509, 0x799e1292, 0xa434851e, 0x3d2efd9b, 0x89d49884,
+    0x7cfa2c0f, 0x40b008f2, 0x3fffc5ea, 0x56cbf0ff, 0x5d429770, 0x30c7f18c, 0x8f802e85, 0x793d1a73,
+    0xb169d6c8, 0xcbf5d320, 0xe76c474b, 0x5d7a6868, 0x64e5554f, 0x0a57d785, 0x72ca1a9a, 0x80d9cb28,
+    0xc6dcb8c3, 0xc7abdc14, 0xb7e83b40, 0x3e3b79be, 0x4461b466, 0x125b02b4, 0x8565b7d4, 0x7f16c95c,
+    0x8aafd30e, 0x1d0e49e2, 0xc673e7ec, 0x726bacdd, 0xe1c50d97, 0x677a5b99, 0xd5976035, 0x97575db0,
+    0xea1aab83, 0x525fa0b5, 0xb2db7fb2, 0xdfce54ee, 0x224506bb, 0xebd719bf, 0xaa3e2dee, 0x5d1c124c,
+    0xca44d5af, 0xe243cfdb, 0x9ce1a36c, 0x2ef2b4ea, 0x7cb718e6, 0xc8583d7d, 0x184d4756, 0xa6bfb8c8,
+    0x2bb955dc, 0xa69700bc, 0x87dfbc24, 0xf8d43eb2, 0x1189ac99, 0x3ff5b601, 0xb2fbfec3, 0x39c8f6bb,
+    0x60ec5666, 0x4dc0b7cd, 0xe8cd61aa, 0xec376104, 0x0b878229, 0x7e9617e4, 0x7b255ec2, 0x64692872,
+    0xcbaf2bd6, 0xd6aa817b, 0x4d7c1afd, 0xbfc8430e, 0x4347567c, 0xa5095d8e, 0x6aee2864, 0xeffad777,
+    0xa45e6022, 0x6dbd7df0, 0x7f250a46, 0xb3dea5b6, 0x4e685783, 0x701e9301, 0x02ba45f5, 0x05e86dbf,
+    0xd4d33434, 0xa7455b69, 0x969f6a77, 0x4d193b27, 0x6e7e2817, 0x6d23032f, 0x6b66086b, 0x23582001,
+    0x79f12b26, 0xebe9a60e, 0xd2c12d48, 0x421af32d, 0x9b7ebe9e, 0x49a13145, 0x2ad921f8, 0x1a8f55f6,
+    0xf5b7dd13, 0x343e87ef, 0x299fa6b0, 0x5ddc0999, 0xddf85843, 0x36739420, 0x6e05e042, 0x04deae36,
+    0x35142752, 0xa8baa22c, 0x7800f681, 0xadf25e78, 0x8a426e54, 0xff460f6b, 0x86d7ac22, 0xe6e0353b,
+    0x1a401fda, 0x78b6ffad, 0xd1f78e7f, 0x6a2038e8, 0x5fc6505b, 0x0b6b4778, 0x553668d1, 0x8d789455,
+    0x36d464c3, 0xacdb45df, 0xad54d523, 0xb77cd780, 0x89e56d86, 0x1da40255, 0x4f6b16a4, 0xb6e5befb,
+    0xb2a6acb1, 0xf748950a, 0x4ab4c2ff, 0x08e92974, 0x91b19b04, 0xc1e3f46e, 0xa567e28a, 0x35816cd9,
+    0x05e18b99, 0x051ecd23, 0x30a6f4f5, 0x64c20872, 0xd5802e9c, 0x7d690f7a, 0x9ffd55b4, 0xb5873424,
+    0xa761a8fd, 0xde344812, 0x2f856336, 0x77b5c0bb, 0xd42774a3, 0xdc4a00db, 0x68659f68, 0xda47dc76,
+    0x7fc0a9b1, 0xbf6c0c4b, 0x6fd9e1eb, 0xc6f67e4b, 0x5bb336de, 0xfd12b620, 0xc7e39ea3, 0xc279d891,
+    0x22520a45, 0x93f953f6, 0xc7bb2f56, 0xde56c0a8, 0x0ef14b88, 0xd0e4c6bb, 0x2420002d, 0xc055b4b3,
+    0x00000000,
+    0x20164a03, 0xa036da81, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000041538374868278621028243970633760768 */
+  { 0x00000000,
+    0xd16952c3, 0xe86861ea, 0xdb62986f, 0x1abe0eee, 0xa0f3ff27, 0xf2f47447, 0x65ee0c16, 0x8c1c67b5,
+    0xdb58081b, 0x7df81eae, 0x72ae55df, 0xdf8f3dd7, 0x859df69e, 0xc379e79b, 0x2d92c374, 0xd5d3e038,
+    0xef39e4c4, 0x842493e9, 0x3b0de9c4, 0xf5df1047, 0xaf5d50ff, 0x0d335d39, 0xfffd6f66, 0x79af0eaf,
+    0xbc3db40b, 0x578ce966, 0x60541445, 0xa2db14c8, 0x9879104b, 0xd127b737, 0x199c79e3, 0x86cb12dc,
+    0xba718ace, 0x9d3b1c8f, 0x3462223f, 0xa505c4be, 0x3ea16e26, 0x5cfb8a68, 0x771de790, 0xcee7cd6f,
+    0x6351e224, 0x7bbe127f, 0xc918278c, 0xf046a7eb, 0xdf02d47e, 0x4ff6761d, 0x142697cd, 0x6190ad0e,
+    0xff822deb, 0x7f8745d7, 0xf95be2f8, 0xec3fca64, 0xf185ea64, 0xaf75f168, 0x939743be, 0xdaaed2fa,
+    0x2d9c3f7c, 0x61a55657, 0x754bbd55, 0x9ec74a5a, 0xdf573e13, 0x2c21553e, 0xd050834d, 0xb9790128,
+    0xc7fba644, 0xbfce9e2e, 0x6ebf468e, 0xd888023c, 0x887134aa, 0x5e82bbbd, 0x1828f0f6, 0xb574aa66,
+    0x8daaa6fb, 0xe3aebfb3, 0xdd086850, 0x5065050e, 0xb12abe17, 0xad0cdbb0, 0x51db6a47, 0x9fd34ba4,
+    0x50ce95fd, 0x56011700, 0xe82116ac, 0x1417a84a, 0x2ef26d97, 0xb9de817e, 0xfdb2b714, 0x717270c1,
+    0x0f2ec411, 0xfc401e48, 0x579fcf1c, 0xf1a2ed24, 0x1eb5ef60, 0x7481669d, 0xaa7dcce9, 0xbdc6753d,
+    0x39a67386, 0x2711e522, 0xf375c2e2, 0xc100d04a, 0xd11eeca2, 0x36fa842c, 0x30e25bb7, 0xe5bfbc85,
+    0x9d32c73a, 0x58de378d, 0xa62ddb65, 0xecfba6fd, 0xa9c43574, 0xbc9a925e, 0x4f9f26b6, 0x783e8316,
+    0x6ddc23f9, 0xd3e87249, 0xb0034390, 0x60458cad, 0x07432790, 0xf83fef8c, 0xe1cadf4e, 0x38a46f2e,
+    0x12bcf29b, 0x9987ba88, 0x2dd5ee0f, 0x496f1a7e, 0x882aed92, 0x472204fd, 0x64c7131f, 0x17cb40b0,
+    0xc07bc493, 0x9d15011f, 0xec34c34a, 0xc6a1c3bf, 0xa927b893, 0xc4b3637a, 0xb92568a2, 0x660df88e,
+    0x688dd7de, 0xcca65a55, 0x87df4578, 0xb249e9d6, 0x2a4ddd0f, 0x3e49773a, 0xd8d442f3, 0xc21486a9,
+    0xceda5577, 0x06a3fb27, 0x66df9812, 0x3497371d, 0xc8b4764f, 0xd51a6fca, 0xc9728a8b, 0xcf88a2fe,
+    0x60b65cc2, 0x228e90eb, 0xf6adacea, 0xd80a2e7b, 0x49d978e9, 0xf343097a, 0xa1c63c4c, 0x21b3fe7a,
+    0x9e725c29, 0x108137f3, 0x52e386e1, 0xd0418619, 0x68559465, 0x7b198526, 0x823467db, 0xfb371093,
+    0x15e066ee, 0xed4b2cea, 0x71cc452b, 0xb7d0b22d, 0x1a53ace0, 0x9f3b7471, 0xb6cf85a3, 0xc1b79ce8,
+    0x69d815be, 0x5bae4f01, 0x0f64ed87, 0x3464babc, 0x0dbc8491, 0xe6ef8b4e, 0xa4df30c5, 0x466e0f50,
+    0xd768cf80, 0xe1e1a8c2, 0xe40dc46e, 0x127875bd, 0x1b7a0cb3, 0x06411a36, 0x5c6bcb9f, 0xd60d6a8b,
+    0xd0a7a186, 0x6d6986e4, 0xa5863ef7, 0x41a6de31, 0x8e84eb1b, 0x6e56a13f, 0xffe6c1b8, 0x49b6bdbf,
+    0x64b1efb2, 0x4f034a3f, 0x40ce3742, 0x73ad24f8, 0xdc29a0d0, 0x6926984c, 0x310640f7, 0xeb7ae069,
+    0x9370180b, 0x602be88c, 0x7518bdeb, 0xf0b11e35, 0xddac4b05, 0x8f29a02e, 0xc4cc48f3, 0x73140bdd,
+    0x77e46ee1, 0x2ab1307b, 0x35aa42ed, 0x225aa18c, 0x4d74bd09, 0x73523786, 0x9392dd46, 0xf2590c2e,
+    0x77e81f54, 0x98ad0a33, 0x5c97037d, 0xc0a74998, 0x51a63eaf, 0x737efa54, 0x0e9dd679, 0x869d0c02,
+    0x7a5cc90d, 0x19bc7bd7, 0x38665d5c, 0xbebda35d, 0xb525bf53, 0x2fba653f, 0xeba439fa, 0x4277238a,
+    0x7b4e6acc, 0x2e172f16, 0x3b53e04d, 0xd5a77f9b, 0xea252e19, 0x9ca01cf0, 0xb9d899b8, 0x687670a7,
+    0xa695606d, 0x5e2d056a, 0xcd8ce042, 0xbdbcb606, 0x166f7062, 0xc7b406c5, 0x498c42a8, 0x1261d600,
+    0x6adf11cb, 0x8b03b340, 0xf2409100, 0x28ab670f, 0x30ca6769, 0x8293da8c, 0xec1b474c, 0xdd1e76de,
+    0xe18599f0, 0x716565bc, 0xd31d256b, 0xc46f4079, 0x71bd7146, 0x1d5bc9cb, 0x19f67030, 0x20ae6a9d,
+    0x1c79c3d6, 0x1ef73d77, 0xf880d43a, 0x203a0ebf, 0xf36080bd, 0x9633c29d, 0xc8f5fde3, 0x038efda1,
+    0xf07e226b, 0xb0f894c1, 0xbe04b8ba, 0x512d86fa, 0x6073f0b3, 0x56a0d924, 0x7830806e, 0xb6225b21,
+    0x8cc880f9, 0x2e6f90ca, 0xf5b0cd57, 0x8ffc4da1, 0xf35f049d, 0xdea90336, 0x984bf34d, 0xcc558826,
+    0x964c1af5, 0x9acf4456, 0xdd7fbdcd, 0x1b868c6c, 0x0d52c5a5, 0x88a74e47, 0x9f47e885, 0xddda2b5e,
+    0x4dda12df, 0x35a1a242, 0x9b2ef7a9, 0x8427d1b5, 0xdaa0df8b, 0x4e615bdc, 0x0498ff66, 0x36e1563c,
+    0x1c688a31, 0x7133f5d5, 0x24696897, 0xe41525f7, 0xcc91ea8e, 0x5bf7ade6, 0x4ca3db40, 0xac493606,
+    0xf6d36479, 0x62be27c0, 0xabbfd29d, 0x90bb9a9b, 0xaf5e050a, 0x03bb53c5, 0x42a0d746, 0x153ea6ec,
+    0xa5925029, 0xaaf6a76e, 0x06dcd3fe, 0xebb90682, 0xea9eeac7, 0x6a45c8c9, 0x63667110, 0x9d001db8,
+    0xa67a9aca, 0x0eea3044, 0x06775843, 0x7b0b11b2, 0x06d2529a, 0xe87bb120, 0x2a5f3612, 0x267c803f,
+    0x99eaff8b, 0xe3c8eb0e, 0xaeac7180, 0x45888b74, 0x22965c55, 0x9b95d2d0, 0x04762773, 0xd98d77d3,
+    0xfacf7127, 0xa3a8e2f7, 0x5a7483cc, 0x18fb34a0, 0x4f33ab1c, 0xddd866a9, 0x009254b2, 0xad5349ef,
+    0xff7c5f2d, 0xf4716d6b, 0xf193be70, 0xda3f9b4f, 0xbf087fc0, 0x823c77e9, 0xb19fb3d1, 0xb8fded22,
+    0x3063b33e, 0xefe15ecb, 0x96cab368, 0x329a5d5c, 0xd4ba4fec, 0xa6808c90, 0x583608d9, 0x3eba102e,
+    0x4848a27c, 0xbb6b0db0, 0xcdd6feda, 0xec5dd953, 0x5219b663, 0x99b483e1, 0x5438b3d5, 0x51d6170a,
+    0x93b42655, 0xc037b472, 0xea58bdda, 0x4a485bd6, 0x3bf50531, 0x74917a21, 0x6ecb2f72, 0xe376df59,
+    0x55cd2a0b, 0xb94d8def, 0xa8bbae05, 0x356a747a, 0x29be1de2, 0x26a74594, 0xf869711a, 0x95251cf1,
+    0x42b7c59f, 0xf9307ea4, 0x35b213a2, 0xfb6d7cbc, 0x6fd63e4d, 0xc3ceb5d9, 0x9f28edf4, 0xc21eef9b,
+    0x439b99b6, 0x8a79acfd, 0xc9d9fda6, 0x2bbfc3c7, 0xcb8fe40c, 0x6006777c, 0x510afff9, 0xc0e0cd96,
+    0x0ff5b523, 0x5a4ea785, 0x439170ea, 0xe702e1c3, 0xf096db6d, 0xfda56579, 0x3aa27da4, 0xce5498c3,
+    0x34ca4a13, 0x8f6cc2f0, 0x43b45f6c, 0x37ba8207, 0x48f729a0, 0x30d55db3, 0x3c50bbd3, 0x998c70cb,
+    0x2b76f539, 0xb2a5f230, 0xdaa52f93, 0x5641ed9b, 0x9ae6787c, 0x065a33c8, 0xc3bea152, 0x1bb46c31,
+    0x0448972f, 0xf2709a4b, 0xd123ab17, 0xfc8eef9e, 0x6412ffc2, 0x250c951c, 0xee68ca09, 0x97ebf0bc,
+    0x1bdcd200, 0x3fee908f, 0x00748d4d, 0xa707ae25, 0xab6d7b64, 0x99105cda, 0x582f8dff, 0x77f500da,
+    0x201299ed, 0xd7f01475, 0x7a240145, 0x3dbea112, 0xf7de2c78, 0x151ca6b4, 0x2ac42469, 0x5fb06c36,
+    0xd003191d, 0x68053c0d, 0xa53e32f9, 0xb31795d9, 0xa818c190, 0x842789e5, 0xf2e41214, 0x4b1d033f,
+    0x8ffbecf4, 0x8d1a2607, 0xc338dfee, 0x5b8eff98, 0xc08e3391, 0x2d21850b, 0xe92b41b9, 0x94ceb79f,
+    0xe13f413a, 0x66499a52, 0xc9f8d1de, 0xdd1b62a2, 0x463bf59f, 0xa7d096d8, 0x9765ba0e, 0xb6c30c57,
+    0x493bc3d8, 0xc68fc235, 0x03539518, 0x3bb3adde, 0xc7733595, 0xde4f69e7, 0x841161aa, 0x7b39cb4a,
+    0xd1d402b0, 0x7f3f8e0a, 0xf16b5a0d, 0xa657208b, 0x807e7e5d, 0x60151921, 0x2c118091, 0x4cb33c82,
+    0x5c7a6aa5, 0xfa2876ae, 0x70a137a1, 0xa2f76b21, 0x96bbfad7, 0x2f6d88b8, 0x053b7123, 0xeaa66174,
+    0x0289331c, 0xeb602ce7, 0xb2bf3ef5, 0xa5c80515, 0xc8ffcd5f, 0xe5142574, 0x6bd62d5a, 0x91c2186d,
+    0xe345b2bc, 0x87e4289c, 0x537c5250, 0x4ae9bc84, 0x34dfd8fc, 0x2e67f83b, 0xdc973d24, 0xc539c655,
+    0x1afeb904, 0x225b3fd7, 0x71fc821c, 0x7f596efc, 0xe1bb429a, 0x046f93d1, 0x4001f68e, 0xa0444930,
+    0x946f82b0, 0x19239bd7, 0x36fa0591, 0x2c84453c, 0x216bdbcd, 0xf857ddf8, 0xff6c3956, 0x630648b8,
+    0x69cd1ea8, 0xc01339e7, 0x59e9c20a, 0x5f840ddf, 0x11aeceae, 0x270f0a27, 0xc4d5b13c, 0x6c770765,
+    0x7ba9f854, 0x594d090b, 0x1ff8659e, 0xae2ed36d, 0x18ef7684, 0xe8f3c843, 0x93e9bba8, 0x4721632e,
+    0x10e88eb2, 0x2ab80a51, 0x778dc662, 0xedc5e8af, 0xaed32693, 0x74a739e5, 0xe6623e4e, 0x408d4692,
+    0xffa2fedb, 0x6d4ac5fa, 0xfd697338, 0xe4e9daf4, 0xd88537ae, 0x3dcd3110, 0xbf2c45ec, 0x1b022e7a,
+    0xff0660d3, 0x06e05bd8, 0x5b28b239, 0x5011b8c3, 0x453a7333, 0x7edfdcaf, 0x59ee70d0, 0x78b05265,
+    0x7d87c1f4, 0x5d909566, 0x3bc60318, 0x89932582, 0x03e53ded, 0x2686afff, 0xca7f5797, 0x870ea321,
+    0xb82bf903, 0x29df48b3, 0x7a886e3c, 0x4903a167, 0xf47d9077, 0xa1a36571, 0xae9132d2, 0x84edc1d0,
+    0x7c10ad0e, 0x74b4776d, 0x7487045f, 0x1527c707, 0x95a82260, 0x509b835f, 0xa83f5695, 0x130d8599,
+    0xd0799d49, 0xab2f9518, 0x92270932, 0xf6d8c8a2, 0x581e2934, 0x1b00de3f, 0xf3b6495c, 0x3b02497f,
+    0xcf9700e9, 0x0ca326b0, 0x9559eeba, 0xf02d1e9d, 0x24357f34, 0x3861e072, 0x97498c3e, 0xf02e8adf,
+    0x3c96ba58, 0xc5f23916, 0x2c08f5cb, 0xe6b145b7, 0x5bf2dc26, 0x3d98371a, 0xfd3ed6b1, 0x09658f74,
+    0x8e5a57ca, 0xc316cab3, 0xd295e1c2, 0x53ad458f, 0xede8c2bc, 0x8db386ea, 0x57e9d029, 0xf776ddae,
+    0xcaf0dfec, 0x3a9243fa, 0xd0ff4cb5, 0xec995d19, 0x809c822a, 0xf5a27e39, 0xa1b23c8f, 0x5513c254,
+    0x4c5a5946, 0xe6c44ef4, 0xc6f3218d, 0xd12371ff, 0x148efd6b, 0x59be8103, 0x826a92fe, 0x00ceb96e,
+    0x0a6c5a33, 0xf1eca47b, 0xde56806b, 0x583d719b, 0xb6fc368e, 0xe1c2155c, 0xd9d24d6e, 0x2ed1254d,
+    0x82f11a9c, 0x60a641fd, 0xa3ba6eb1, 0xd26c778b, 0xabffebfd, 0x9757a56a, 0x532237cd, 0x699b1f8f,
+    0xc29b5c9e, 0x9a2d584a, 0x9f07c60d, 0x296ad2ec, 0x65a0ef87, 0x8d6cd9ad, 0x09ce7abb, 0x1bd33d04,
+    0x4edd8eef, 0x58a02306, 0xb56dec76, 0x62acd740, 0x6e8a7b86, 0x14cec903, 0x5887386a, 0xab6c21c1,
+    0xcfccc521, 0x8876f6fc, 0xeeb21c8d, 0xd6f2fa8e, 0xf8dc92ae, 0x15615805, 0x00608bae, 0x3a85b40a,
+    0x3fbb1c10, 0xf545e9f7, 0xc9fd46a5, 0x74d8e2c8, 0xb8bca773, 0x731d8185, 0x71e1edf0, 0x03980387,
+    0xadbc5d0a, 0x73baf6c3, 0xb367597b, 0x32e00b65, 0x40adbb4b, 0x1c4f9886, 0xf92d36ae, 0x2ad0669c,
+    0xafa1a807, 0xb3373d6d, 0x38c75b13, 0x7cb6cb3c, 0x930ddcf8, 0xc69d1471, 0x7a368e19, 0xd8e09f88,
+    0xd3e419a9, 0x3af76c5e, 0x2d6ac72b, 0xe2578425, 0x2cfa7c1f, 0x411989af, 0x73e3b35a, 0xb99005f3,
+    0xd61c320a, 0x95867273, 0xf5852821, 0x63d25441, 0xae228ff3, 0xf4f05c84, 0x17edcec4, 0x491c2549,
+    0x43cceb4f, 0x37f6a279, 0xbe7d6408, 0x0a49f71d, 0xdcba7429, 0x86cd6597, 0x3c1ae535, 0x4c2f017e,
+    0x1cfaced0, 0x7035042b, 0x2a303f43, 0x1b8f9b40, 0xdc19563d, 0x4dedd151, 0x0c4e85d7, 0x5682d36e,
+    0xfe41df9f, 0xa1a155d3, 0x87fc74e4, 0x953e5572, 0x5871545d, 0x6e93496f, 0x9376738c, 0xbda2374f,
+    0x5884e719, 0x991e56fe, 0xae7702b6, 0xafb715e5, 0xfa287449, 0x1e629750, 0xf7882e93, 0x6e3bd80f,
+    0x1be45882, 0x29875648, 0x4d076cb7, 0x25da84ee, 0x7cff52be, 0xc764ffce, 0xcb1ee94c, 0x936ced23,
+    0xfc5d2edb, 0xf8fee9df, 0x0493ce72, 0x0194ff23, 0x2c0aee7f, 0x28dc398e, 0x24dfe81b, 0x70df5f19,
+    0x210b98aa, 0xfb13e37e, 0x9bd6abd8, 0xde2d1e20, 0x0de1feb9, 0x8a1a05ae, 0xef7764a7, 0xeeb5b1bb,
+    0x12cf71e5, 0x01f1a47c, 0xfa07916a, 0x8e9b0195, 0xde5a4262, 0x674cd619, 0x05b48052, 0x8e7d8838,
+    0x7b7e1086, 0x1db75425, 0xcaaec733, 0x007e8936, 0xeab63948, 0x1a92afd1, 0x9761d0eb, 0xe67a07cb,
+    0x6ed915d3, 0x78f46bcb, 0x2e1509f8, 0xa8de63f3, 0x5c41eb22, 0x27cea357, 0x62a8aa2a, 0x0933f22f,
+    0x5e245cba, 0xd6032ff0, 0x62d9a033, 0x88433dbc, 0x5afc35ea, 0x95b17233, 0x376e91a3, 0xbbe2a380,
+    0xe1b41cdc, 0x96bb6b8b, 0x1d215895, 0xa600ac61, 0xa1175fe6, 0x153e5d5c, 0x3c41c4b4, 0x19b405b2,
+    0xa029ad2f, 0x02fd7b75, 0x7450571f, 0xd638655c, 0xb6e0639f, 0xaacdb30d, 0x413e9bec, 0xc787fe21,
+    0xa71c5761, 0xef20469d, 0xf770c259, 0x85b8c9a1, 0xc79c7e86, 0xe2567d92, 0xa2eec9b4, 0x697a9f1b,
+    0x9e9c2bc0, 0x4d23ba5d, 0x84675bec, 0x1c002805, 0x7328cd14, 0x9047662d, 0x9064bcd0, 0x7330da8f,
+    0x19513940, 0x77d6974c, 0x063ccff9, 0x555cb9f3, 0xdb9a6ebb, 0xe994b907, 0x3ec6f748, 0xd8670db2,
+    0x96d9aeff, 0xcd6205e0, 0xe34308d5, 0xa58d98a6, 0x6bba9079, 0x2387c1f9, 0x0931f9b7, 0xfd3ac719,
+    0x736f0417, 0x6cf3264c, 0x820c6413, 0xe7b22744, 0xc4da2b71, 0x5ea3df2d, 0x61c5c164, 0x40a31bc3,
+    0x9d03ffc6, 0xe1ad2495, 0x5fb23b59, 0x3f38e883, 0x245b0e1d, 0xd7cc3d54, 0x04e0efdc, 0xf528ddd4,
+    0x48720866, 0x09c8200b, 0x412eca06, 0x98127fb8, 0x1912e26f, 0x722ebbc0, 0xecf6cf93, 0xac17b4c8,
+    0xf5a5b74e, 0x3aa0268f, 0x46dc2107, 0x1693e930, 0x025cef3a, 0xeaea4102, 0x5020b2d7, 0x1f27d0c8,
+    0x33d954c6, 0x741545c0, 0xe972993e, 0xcde5ced6, 0xcc542921, 0x3336be27, 0x5090e253, 0x0fc92dd9,
+    0xae790c39, 0xff5510d4, 0x0b7a539b, 0x75f6a2c1, 0x340fd650, 0xe06d776b, 0x6e2c8e52, 0xd5d75e03,
+    0x1954e247, 0x7f136700, 0x615e2d6b, 0x3d887f8b, 0x6e7e22a0, 0xcfc3f9cb, 0x5d284150, 0x8734b37c,
+    0x86c21b7f, 0xdc7e5f60, 0x053d17c5, 0xce1cfc8c, 0x0f0a7d82, 0x89f5f1bf, 0x6df802ca, 0x566f848d,
+    0x88bb6e34, 0xfc3dba9d, 0x5c0a3b17, 0x447ddb0a, 0xfda1dfd5, 0x105dde0c, 0x5f5c75e6, 0x3b0a0ed5,
+    0xe13a929b, 0x470f4c33, 0xcc98eb1a, 0x20fcbaf8, 0xb46434e5, 0xb77504d3, 0xa5d31c0c, 0x4e37c6f8,
+    0x546ec4a3, 0x6ab3db97, 0x3a2c7e6f, 0x96578f34, 0x75b60797, 0xd1a8e3b5, 0x80546ce9, 0x6ddd7ba4,
+    0x61a53ad8, 0xf4f650f9, 0x28dd36d3, 0xb1673e06, 0x1e7c8a85, 0x2d9b6437, 0xcc6e8660, 0x27318b52,
+    0xfcb68a55, 0xc80513b5, 0x142d1c19, 0x79623b75, 0x60cf0320, 0x429ca406, 0xebfb4245, 0xf1148207,
+    0x31f512c3, 0x4b8dad50, 0x66a75adc, 0xe15106de, 0x08032c2c, 0x6963e125, 0x46910605, 0x68279cfc,
+    0x65676ace, 0x1784cfd2, 0x7ff23524, 0x70933157, 0xc03fabaa, 0x9e5d9f9b, 0x9276a58d, 0xa4c9c946,
+    0x4081f188, 0x4a79f350, 0xcb3ed635, 0x374e8127, 0xdb12bfe9, 0x97518f41, 0xc04c864b, 0x9fa52621,
+    0x917eef92, 0x9e9a1d75, 0xe8ab448b, 0x9b6ab3c6, 0x445d3d5d, 0x42555569, 0x5f767712, 0x9ce769fa,
+    0x00000000,
+    0x900b2501, 0x501b6d40, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000020769187434139310514121985316880384 */
+  { 0x00000000,
+    0x8eb4c1c7, 0xbefae570, 0x3e19ff1b, 0x7aecb28f, 0xfda077bf, 0x3cb72156, 0xd49f230a, 0x3518766e,
+    0xefc111bc, 0x54eb0626, 0x65a47f3e, 0x6f17606b, 0xc576c6bc, 0x42b56a27, 0x376e3f20, 0xfd60f80d,
+    0xb3e35dbd, 0xa7cbc153, 0x5d66ac4b, 0x771c3573, 0x251d3318, 0xb7fb9b2a, 0xc3369f1e, 0xd3f0a4ec,
+    0x3f64350c, 0xab5b1dae, 0x63fcf50b, 0xab36376b, 0x99ec3a07, 0x51e9e658, 0xe614b26c, 0x4170f788,
+    0xeb8ad2c7, 0x45c87639, 0x97f24f76, 0x5631ae62, 0x2674a13f, 0x93e23fb0, 0xcf6d1862, 0xece82ec8,
+    0x6bd1018d, 0x850f73e0, 0xee839585, 0x9e1fb32a, 0x309c280a, 0x8149d6dd, 0xe3c66094, 0xb9ab0977,
+    0xa7a01cfb, 0xc5823d1e, 0xbd1477c5, 0xaff10aee, 0x5d56fbe5, 0x86f8be00, 0x11d0f354, 0x4e0d8064,
+    0xc8e2e1db, 0xf9a89647, 0xdce42092, 0x3a3449ac, 0xd41013a0, 0x031d5103, 0xb6bdd897, 0xe4454efc,
+    0xf589fc13, 0x92453988, 0x7181e5c3, 0x8d31c781, 0x2b7d2353, 0x2f094dca, 0x8605774f, 0x37b0708e,
+    0xb1865f53, 0xdb40f750, 0x5479d9ff, 0xcb0fdb60, 0x8a5dcb7d, 0xb3f0bf8e, 0xa52b560a, 0xd12a6596,
+    0x1ed5efa5, 0xbe71a425, 0x75a0424c, 0x4b7add71, 0x71c15e8e, 0x9ebb3ce2, 0xf123dc6f, 0xfca51869,
+    0xcecc6f77, 0x30f4a11f, 0x8c9d52e3, 0xa43b1a43, 0x96b47b50, 0xf006c250, 0x828d0fad, 0xda63dcaf,
+    0x8270e196, 0x07beb8c0, 0x611b3fe2, 0xef0a404e, 0x161729a3, 0x5da544b3, 0x5ec226d3, 0x3dae561e,
+    0x54ac3d58, 0x933fce2a, 0xeb1a9055, 0x173cb474, 0x81d82e88, 0x4cec699b, 0xf62d66f1, 0xa2787b08,
+    0xd48fc145, 0x9feaf751, 0xed2ef59e, 0x7a9a6215, 0xa53a45a5, 0xbc1ee6cc, 0xaaf4fa0d, 0x70341dcf,
+    0xe5a6b5fa, 0xdaca1949, 0x13d80fbd, 0x3ba6950a, 0x0a708a7d, 0x4688edec, 0xb92c8941, 0x6b7d161b,
+    0x3e658fba, 0x1be635c8, 0x0baa1092, 0xf6dd38cb, 0x93628cbf, 0x60f0f005, 0x74b17d75, 0xd127039c,
+    0x4db216b2, 0x7f6a2dec, 0xc940dc0c, 0xcc0cdd55, 0x3c4b424d, 0xe0308b41, 0xac541efa, 0x5923efff,
+    0x3586e1f9, 0x3dd443a8, 0xc3b0fcd1, 0x3cb2abb4, 0x782b4bde, 0x876ad812, 0x14556d7e, 0xb9ad72eb,
+    0xc20d3944, 0x493e1aed, 0xf31add2d, 0x7da0d26e, 0x0ac56f30, 0x8b735351, 0x0215f26c, 0x19664674,
+    0x858ed483, 0x628ac780, 0xa2fe7332, 0x9be27603, 0xdb6472cb, 0x665b2eae, 0xd38c751c, 0xba696a29,
+    0x42658821, 0x14eeb2a2, 0x7e4f9813, 0x6f8120a6, 0xd9beb65f, 0x4a65aa22, 0x576d0a82, 0xc46ad661,
+    0xf1077ded, 0xc2bc3beb, 0x3eed0cae, 0xa20292ce, 0xea6ea43b, 0x609752e1, 0x9d4c385f, 0x7d6a00b2,
+    0xa0529be0, 0x74bcf90e, 0xda5fd816, 0x5fddd4c2, 0xd4d5fb72, 0xd2ad1cef, 0x54241871, 0x66bc133c,
+    0x60297965, 0x0034c780, 0x2ac060e7, 0x02510e9e, 0xeedc2ee3, 0xc5773c48, 0xaea98d97, 0xb46f4279,
+    0xcb541632, 0x9ef2d955, 0xa581a7b5, 0xc1f4fed8, 0x0f7b5ac4, 0xae4b7dbe, 0xb0fdc066, 0x1ff07e5b,
+    0x02f169a6, 0x87957ddc, 0x0a3b55fc, 0x400a1b5e, 0x60c7456b, 0x0f7f1a57, 0xb6a7e434, 0x0abf421e,
+    0x4fad94a9, 0x727c36b9, 0x0af9c320, 0x2f21d6af, 0xe15b8a2a, 0x1ae153ce, 0x740b8ef2, 0xee3b2bb7,
+    0xa1541fcf, 0x843e5c1d, 0xe95c635e, 0x36d37c10, 0x7c888ff7, 0x69cfb7ce, 0x8398b6ba, 0xff6f4271,
+    0x72d13507, 0x2ebf1795, 0x195f228a, 0x808d04f6, 0xdb9e7f71, 0x98f03932, 0x7d3db966, 0xcb57fb8f,
+    0xeb4d8372, 0x78b63292, 0x104cfeb5, 0x9aed418d, 0x6e76d4ef, 0xaba6040f, 0x8ff67e77, 0xfae66100,
+    0x6b9a6eff, 0x94e30cc2, 0x92e40194, 0x6f14e378, 0x9fe72b6b, 0xb38ed62b, 0x9ada691c, 0xd9b6bb8e,
+    0x2b0c72a7, 0x2b4e0d11, 0x119594cb, 0x98a980ca, 0x7b422915, 0xdeedee14, 0xedd0edd4, 0xc28dc344,
+    0xec3e56ae, 0xde099be3, 0x021e9b69, 0x707853be, 0x6e0a1c29, 0x34261e38, 0x15e5ed8a, 0x90dd2ebe,
+    0xdb5e3916, 0xbc433008, 0xe2311f4b, 0x5a96fd24, 0x1d7e3d1e, 0x429d4c39, 0x0760f965, 0x01b1aa38,
+    0x9851c8fd, 0xdced8adc, 0x45bd4b57, 0xe963123e, 0x55ff0174, 0xe8ddb3a4, 0x97a8ae0d, 0xebdfb15f,
+    0x24e63c87, 0x76e28d17, 0x6993f971, 0x8d3dc8c0, 0xf7fa1750, 0xe626448e, 0x8a18d936, 0x65c60cbb,
+    0x7e398c74, 0x8f061b58, 0xfec781b7, 0xe6f56c35, 0x19b47e98, 0x378d18dc, 0x28f99226, 0xc808002e,
+    0xf4eb1a9e, 0xa18358ed, 0xfae3a9bc, 0x390ae95d, 0x6548acb9, 0x77a828fa, 0x10957b15, 0x621b42e2,
+    0x451b1495, 0xf1135971, 0xdb5f8d05, 0x1cd6d167, 0xaa585255, 0x75cbb63f, 0xed7e815c, 0x99891109,
+    0xe1350bc8, 0x3e1f3924, 0x05bfe117, 0x909f0c1d, 0xa3630c67, 0x677bb61a, 0x25fbcc2d, 0x33e8ff8b,
+    0xbbcd4f3c, 0xd2823548, 0x81039128, 0x46f32656, 0x6908f6bf, 0xc90ac54e, 0x028277ce, 0x1c8fd86c,
+    0x6663be52, 0x070f0c1b, 0x635dd14c, 0x1a4edcef, 0x220aef49, 0x4b4a6902, 0xa44d5bdb, 0x9d8ba9a9,
+    0x6f9e394c, 0x879efabd, 0xc1677524, 0x7786c147, 0x88b4d9fb, 0x6ae8eceb, 0x7e47783d, 0x0a363f7e,
+    0xb70c7e0e, 0x52810571, 0x80d8e0d8, 0x7f32aa01, 0x4b48eabc, 0xa42c2550, 0xa07612e4, 0x2b72ad6f,
+    0xffac04f0, 0x5bf102db, 0xe1c0a6d2, 0x5c877eff, 0xc600caa0, 0xe2effb79, 0x9d4d66f5, 0x6d4f7c30,
+    0xacde4961, 0xb51b25bf, 0xd7d4724e, 0x5ee7644c, 0x2b6e18bc, 0x74c3a78c, 0xa5ffd2d6, 0x83d6b4cb,
+    0xfc97794f, 0x8559680f, 0x54773adf, 0x21027f2a, 0xa847e695, 0x5fe6d7db, 0xfc90bfe6, 0xc1e62a32,
+    0x1eb94aa3, 0xe9da133f, 0x0a242f9c, 0x95573475, 0x08bb8704, 0xe9560fc3, 0xe6277f4a, 0x52858c75,
+    0x7835a361, 0x0d77c1ca, 0x72e6efc1, 0x6b9d3f34, 0x42ec0322, 0x344a1b37, 0xa94bfd15, 0xcef91ee0,
+    0xf0db0f26, 0xb36fc4bf, 0x3d35b991, 0x56bf7c3d, 0x5b3575a7, 0xaa7cfd5b, 0x8295484c, 0x7e14de7e,
+    0xa5be1c0a, 0xfa9b8129, 0x920e7d61, 0xc5c55354, 0x215bd7dc, 0x8d9d64a1, 0x741ad35e, 0x039607d5,
+    0x5c5a94a7, 0x8fd43331, 0xd58d79dd, 0x40fe1310, 0xe58d845e, 0xf096466a, 0xb1ecfa05, 0x64bc9f46,
+    0x3374c0e0, 0x6e4e98ad, 0x67318b0e, 0x46462ff8, 0x41b76984, 0x7b5812a4, 0xe6e6d7b2, 0xb6e98942,
+    0xae5e3b96, 0x0a7f2be0, 0x138ebdf5, 0x47753392, 0xd9cb9e10, 0x18a29264, 0x77da7b37, 0xa6eb7bde,
+    0x7efb21e8, 0x8e31234e, 0xc1c67527, 0x395bfd25, 0xd6c45be5, 0x469330cc, 0x25e8b803, 0x7600ddec,
+    0x2be0ebc7, 0x9589cba2, 0xe3f41223, 0x921af6cb, 0xdfd2c28f, 0x7aaa2673, 0x258752ca, 0x72cc69e5,
+    0x71ebb29f, 0xf5002711, 0x8ab44ce8, 0x6bc00c28, 0xbb016dac, 0xd3a00ea4, 0xa4c23007, 0x72466de3,
+    0xc4a7c778, 0xa7b4e961, 0x1ac49cec, 0x8fa3a026, 0x50d974b4, 0x3efb9254, 0xc993c1e0, 0x4a4c2172,
+    0xbbc49996, 0x7e94301e, 0x34faa8fb, 0x7b7ee803, 0x490963c8, 0x9ba184f2, 0x6f7d08eb, 0x74d59a91,
+    0x637ac5e7, 0x24f5be79, 0x9172853d, 0x266ac963, 0xcbb96ffc, 0x41a38207, 0x7b4deb89, 0xaa8035c8,
+    0x97081a6f, 0xa691c152, 0x6d123bb3, 0x3904e715, 0xe9bde8de, 0x30d46a4a, 0xa716f6bc, 0xca433d63,
+    0x63d8a50f, 0x7b752ffc, 0x2e77ced3, 0x2929c5c7, 0x32a7ec5f, 0x0ccc2f02, 0xad088cd3, 0xd594eddf,
+    0x54af1b6d, 0x7b1eb813, 0x0f83c8cb, 0x67ac3bf1, 0xd1ce4fae, 0x7dee3775, 0x1d3ca5ad, 0x2559b7a4,
+    0x18876547, 0xf274f16b, 0x7bf8243b, 0xada7e2fe, 0xaa2cf2d7, 0xf0ac3009, 0xfa0cf047, 0xd181a9f6,
+    0x10e6e213, 0x7dc867a8, 0x83f94ae4, 0x9581d428, 0x214587fc, 0x2171e633, 0xbe1f4b13, 0x9cd4e54b,
+    0x05e94bf5, 0x3d108b87, 0xc8bf75cc, 0xa67c8126, 0x58e4378a, 0xa76b243d, 0x02df2e21, 0xe0058f82,
+    0x65a9c367, 0x7147b4aa, 0x8f46681d, 0x8e2625e1, 0xe7886350, 0x67e1111b, 0x2b81c410, 0xc2f2d302,
+    0xb444491e, 0x7b721e57, 0x661590d6, 0xb5bc3147, 0xe91befbe, 0x8be9b78e, 0x1489d399, 0x5fdadbfb,
+    0x7a5b6a70, 0x3fcb1ca9, 0x4ff26ed3, 0xd0765aa5, 0xd28fc463, 0x7d1a40dd, 0x85888b92, 0x52f1dccd,
+    0xb23cf048, 0xdc2fb50c, 0xd8a0b4d8, 0xa4c2b519, 0x3cf42223, 0x19079818, 0x535717d6, 0x86cd3645,
+    0x5fa80959, 0xe6e256be, 0x27dd7e22, 0x75625104, 0xe16140ca, 0xe54c3ff2, 0x13959f7e, 0x644ddcde,
+    0xae06dc46, 0x2060aaad, 0xb30fa5fe, 0xc2670af8, 0x2795d5a6, 0x87f8331b, 0x112388a6, 0x32a566f0,
+    0xa6c51c75, 0x4517d553, 0x5e4f8f15, 0x92f0e5de, 0xbc2e3c9f, 0x36159149, 0x71161154, 0x9a51011b,
+    0xd1f86ebd, 0xbababa8a, 0xdf499bd3, 0xe9de5ac5, 0x72286453, 0xbd29caf4, 0xc146643b, 0x32e2a79f,
+    0x431eb6e5, 0x78f40dcd, 0x8c9de246, 0x0c40dca0, 0x38ce82e1, 0xf9911930, 0xee4ff759, 0x7cbafc25,
+    0xf058b9e6, 0x50294c84, 0xd2f48be5, 0x418ed108, 0x56fe8586, 0x8c0fa312, 0xf0da03a8, 0xf7ba8aeb,
+    0x3accdfe0, 0x792028fa, 0x9a012b75, 0x0edd7eb0, 0x2d31948b, 0xe068a5ac, 0x6110f84a, 0x87bc4f8f,
+    0xa3429f27, 0xb643fd4f, 0x840cd6b9, 0x43abc840, 0x25b8cb56, 0x7a19a797, 0x8ec4a88a, 0xd31843ba,
+    0xc9fbc2d9, 0x976be68a, 0x6fb6dcb1, 0xf5e68fc3, 0x7e944cb2, 0x80ec7cde, 0x3c99ebaa, 0x82672701,
+    0xb0eaae76, 0xf2f1d2c4, 0x10326a71, 0xc214908c, 0xeaf276f3, 0xc24adf25, 0xf30fb324, 0x078d3a5e,
+    0x695eca40, 0x602c4d91, 0xb13f63e9, 0x52f501f2, 0xa4e422d1, 0x972bdb4f, 0xa4bc1165, 0xce604372,
+    0xfa726e5a, 0x253835a2, 0xe72fec58, 0xd1699882, 0x5c625c4c, 0x626ba25a, 0xb6e5e1a9, 0xbb2641ab,
+    0xb239fc87, 0x2b7cf661, 0xb2c612c5, 0xc3a1c50c, 0xf409f0c2, 0x5d669004, 0x6179ec7e, 0x2f8b782c,
+    0x4c7620c1, 0x0e46085b, 0x733d3918, 0xaf19b444, 0xdf06cd50, 0xc6177f99, 0xd211c541, 0xa64ed98e,
+    0x364b00aa, 0xeec0c53f, 0x79e18653, 0x94c8f84b, 0x788b979b, 0x54e6648c, 0x02dfb112, 0xb38b17d2,
+    0xe545d208, 0x093f831b, 0xa9d0c65c, 0x3fe08254, 0x790ef80c, 0x7c072915, 0xd6001d62, 0x97984752,
+    0x862c8933, 0x0f19625a, 0x37dfd70e, 0x6f9e79e7, 0xf6b62580, 0x1d7af172, 0x52bc9796, 0xec230305,
+    0x1d406ad8, 0x0523ae47, 0x2b3f121b, 0x58da2b5c, 0xce110b17, 0x8f22ae83, 0xec06c06e, 0x70dca67b,
+    0x7bce6e15, 0xe0f97432, 0x453b83a1, 0xc27e4a27, 0x137be1cf, 0xedf9740a, 0x6ed05766, 0xed9fb93b,
+    0x06584ba3, 0x1af83657, 0xb007f099, 0x68479de2, 0x4d12605e, 0x716a0577, 0xeded1882, 0x121f4434,
+    0x1ee13da5, 0xbf668c36, 0x8a44a714, 0xd010fc36, 0xd5004d60, 0x9e75c11f, 0x20084f49, 0xca368cdf,
+    0x6cb54f1f, 0xbdb6025d, 0xf43480ac, 0x6caabea4, 0x316f44c3, 0x44f56359, 0x880a6b76, 0x7701ee40,
+    0x25f19141, 0x01e23559, 0xcea368d1, 0x15f5b1fe, 0xd1b58301, 0xd7428b4d, 0xa0f5fddc, 0xac5b19e3,
+    0xc3291fad, 0x0cd39458, 0xdcd00d14, 0x7329d16a, 0xf3541355, 0x7b97da7d, 0x0e291f4c, 0xb82768ab,
+    0xacba4397, 0x6ed5ba2b, 0x8652b743, 0x0c3261f2, 0x496a4047, 0xf9b35523, 0x10bd1f50, 0x9d688b2f,
+    0x424b1ba2, 0x7e845f43, 0x985f6cf9, 0x1de92ef7, 0xb72b3ba1, 0xd18d4d8f, 0xeec16580, 0x15fc4e9e,
+    0x5b6bd80f, 0x4bdd2bb5, 0xdcc308b7, 0x35c44d0e, 0x4f85ecfa, 0x7c4f8e6e, 0xbbc11e83, 0xf8d012ec,
+    0x1c5463e2, 0xb8ced3ba, 0xe04e751c, 0xdf4b307c, 0xd8ba93c2, 0xec8e5a3e, 0xb2bca447, 0xc008a577,
+    0x5e0a16f5, 0xfaaa127a, 0xaab0a0cf, 0xef78603a, 0x54a13448, 0x76d898fd, 0xc0522bf9, 0x2a11d738,
+    0xc92af4e6, 0x71fb24ff, 0x8ee42cb2, 0x5d2ae12b, 0x15a0e916, 0xa51326eb, 0x863a1775, 0x60e72fbb,
+    0x38865a50, 0x020c60b4, 0xcb88633c, 0x3c8da602, 0xbd1950f8, 0xd00f865a, 0xeb398595, 0x45835c62,
+    0xe1159fa6, 0xdc25e034, 0x77cc2679, 0x62c66bb6, 0xeb7fb6a2, 0x94525aaa, 0x47a90cb4, 0x0549e624,
+    0xf6d42776, 0x57b3605c, 0xf0eb3c65, 0xac1f67a3, 0x95ad6fa8, 0x8f12aae3, 0xdab76234, 0x652e1dfe,
+    0xed1a337d, 0x7d2aaccc, 0xc7e5e2a6, 0x98002100, 0x80cff377, 0xea28d5f6, 0xd2f249cd, 0xb8224c38,
+    0xac48563a, 0x2e9555d5, 0x833affdd, 0x8790b6a4, 0xf72e9d68, 0x11e7fbea, 0xf2f6e362, 0x3b3f7158,
+    0xf91777d8, 0xc14fcd71, 0xa14d5cc4, 0xc16302a1, 0x90c76243, 0x694713f6, 0x022b7451, 0x945efe80,
+    0xf9a5f75e, 0xaf55a603, 0xc4285e64, 0x2a37fe56, 0xc29f8ef6, 0x7a2cfd7f, 0x24a560a6, 0xb388c69f,
+    0x4bb6cf4c, 0xbe336a5c, 0xcd5965af, 0xcacffa51, 0x0b76b3f5, 0xc523b20c, 0x8c146570, 0xcbf85242,
+    0x7b965fa5, 0x4e0dcc82, 0xd4f5559b, 0xfd7382b4, 0x46de4750, 0x3929dfff, 0x69dda660, 0xb91877cd,
+    0x26802e2a, 0x813b3785, 0x7fc817d5, 0xf41e4532, 0xad3065d8, 0xf385610d, 0x23666f2e, 0xbb1a94ac,
+    0x7fef8b93, 0xcb3eeb69, 0x1cfd93ab, 0xbccf79d3, 0xb63557a3, 0x927e5007, 0x8980c382, 0x5f96fa26,
+    0xfb01895e, 0x671c6ae6, 0xc5a64998, 0x10952551, 0xd3a223ea, 0xf15b4fd2, 0x59783710, 0xeb42392b,
+    0x6917b349, 0x74a09dcc, 0x3f6eb765, 0x91e41b14, 0x13640d66, 0xb60c9b1e, 0x197796ea, 0xd97cf3f6,
+    0x6009a3db, 0x1e0afabf, 0xfc592ea6, 0x0461ad3c, 0x1f6c9ba7, 0xf3afb340, 0x2e64e75a, 0x92ec4c32,
+    0xa49d1ad2, 0x3fdb875d, 0x085566a9, 0x0ac4ab9f, 0x9e6a054e, 0x0f16106e, 0x8f381d22, 0x27ccdef1,
+    0x184023e8, 0xbb6ca346, 0xa7c66a79, 0x2dc08a92, 0x6dbec5ed, 0x9e2e0511, 0x10c39c13, 0x029180fe,
+    0x5acd1f17, 0x0c68ab6c, 0x30f8ad1b, 0x5fb12125, 0x4d3cc3cd, 0xb43cc493, 0x3b0c44b9, 0x2aec3a26,
+    0x9525fd37, 0x726e5ec9, 0x038455a3, 0x77483b6e, 0x0eaf9de0, 0x1a61bb30, 0x66804f6c, 0x1302df73,
+    0x65e6541d, 0x3c3d1523, 0x0ea92528, 0xb76689f3, 0xcf49d151, 0x257ea985, 0xbdd6eaf3, 0x2d4207e3,
+    0x705b9adb, 0x3e628bc6, 0x6d596fa6, 0xdbca44be, 0x30d5eaf4, 0x35edd60d, 0xeab17779, 0x311d250e,
+    0x3d74cf21, 0xba365034, 0xc0613cb2, 0x7cfcd633, 0xc85e18a9, 0xde0666fd, 0x8a9daef8, 0xee9d6542,
+    0xc3f8ef0f, 0x807c359e, 0x58c17fe6, 0x2274acba, 0x049da6eb, 0x5ac5602f, 0xfd58ac43, 0xfab080fa,
+    0x7c543b5c, 0x786437ab, 0x0007ca7c, 0x50350d8a, 0x660914ea, 0x8338b0ec, 0xad81732d, 0x39dd9758,
+    0xc436e897, 0xff7e611f, 0x20e43018, 0x3bc57274, 0x30f59cca, 0xba6240ec, 0xaa48e8ac, 0xe4ccc64e,
+    0x92f71624, 0x42676dd5, 0x7ecebfcc, 0xc1d08b98, 0xebfd13cd, 0xa997a43a, 0xb84015e1, 0x8db78d0e,
+    0x00000000,
+    0x48059280, 0xa80db6a0, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000010384593717069655257060992658440192 */
+  { 0x00000000,
+    0xc510bfe6, 0x5c96540a, 0xb1204f98, 0x072792af, 0x298a56b0, 0x3f70a449, 0x0addb20b, 0xb0c739a8,
+    0x936b0243, 0xfd141683, 0xc9f55cc5, 0x37ba32de, 0xaa31404e, 0x33ea261a, 0x50f3da0d, 0xd697dbdd,
+    0x925cf117, 0x7b48e524, 0x96c6176c, 0x921bbe5c, 0xe97b3dda, 0xda4e3918, 0xfbf24d19, 0xe6cfdf6a,
+    0xa7a5b0fd, 0xe0a908e5, 0x2750459f, 0xe4e71557, 0x8b43481c, 0xdb1fb1b2, 0xdf39d153, 0xaee0b6f6,
+    0xed9a6fae, 0xe7d651cb, 0x25875dbd, 0xaf992f13, 0x93a1320e, 0x2377c0a9, 0xda129b80, 0xf107aa56,
+    0x8eb2b0aa, 0xa4bd8239, 0x1fe84a4f, 0x8a46c7e7, 0xdb0be241, 0xb816304f, 0x068db018, 0x677fa2d3,
+    0xccf57989, 0x1f811649, 0x56341f1e, 0xa9100307, 0x6514d24a, 0xd5597a7d, 0x17c58512, 0xaa5b03d9,
+    0x46b9a5a7, 0xd5e382cb, 0x0053c87d, 0x91ca1c94, 0x940505b9, 0xe7f17fef, 0x1cdab777, 0x293874a7,
+    0x5976df5a, 0xb208a8f4, 0x08ba4586, 0xe6cd89f0, 0x547c8fee, 0x23c9a859, 0x82551b0b, 0x7f71357a,
+    0x4a42588b, 0xd7fc743a, 0x14a72f30, 0xb89e6cd4, 0x20a5d44f, 0xb59a0651, 0xcedfbf50, 0x8efa294f,
+    0xf97e4eec, 0xb3fafbcb, 0xa7397563, 0x9887829d, 0x8740666f, 0xea9e882b, 0x44aa0c92, 0xe755329c,
+    0xa8a4cbd1, 0x412abe3d, 0x7a4935f3, 0x43fab467, 0x6fc696e7, 0x9bcebfbe, 0x3bfa8b68, 0xd2ee6df6,
+    0xe313af41, 0xfce7ac89, 0xfa61df9a, 0xfb2c9769, 0x69ab39fb, 0x092a3ff4, 0x7ef1fcbb, 0xb2b16855,
+    0x935f8a28, 0xf0b16a30, 0x7cd71602, 0x0d0fe89e, 0xc6d1c7fe, 0xccd7a439, 0xf13db786, 0xf0f962ae,
+    0xc1f4ac4a, 0x50f92c35, 0xfa5f84df, 0x212d2f26, 0x36ea4c5d, 0x00c6347c, 0xa340a5a0, 0x88ff6a21,
+    0xc8724b0e, 0x5858a244, 0x45024ccd, 0xf71ee486, 0xd84640ab, 0xd472f22c, 0xe99883b0, 0xb94ff05a,
+    0x62e42145, 0x9b4db467, 0x75fb878d, 0x7eb77265, 0x9851b979, 0x88fa2038, 0xa8e491fd, 0x4754d2b7,
+    0xe3d8817f, 0xfa08f4c0, 0x541b84c3, 0x47d00676, 0xb38b62bf, 0x55cb43d0, 0x364defa8, 0x16a6c1a3,
+    0xf8d38a1d, 0x22f1aeb8, 0xbf24a62d, 0x2a62ec70, 0x0a8eba0b, 0xe374e213, 0xc0980b1b, 0xcf6470d8,
+    0xff1290ff, 0xc8f1ded4, 0x2628fd9e, 0xdf842224, 0x1b9bf0f6, 0x74fe7c1b, 0x3ae483db, 0x68a1cc3a,
+    0xa0ff62bf, 0xd5311298, 0x2c5d59a7, 0x856ca5c7, 0xdebf81c2, 0x7eaccb96, 0xd00ec8f3, 0xb5469fb0,
+    0xe85508ff, 0xe715bde5, 0xcff67b61, 0x84c15163, 0x31d91766, 0x6b8002c3, 0x749a487c, 0x3b96280a,
+    0x05ad50ee, 0xda1a3971, 0xfd40ebff, 0x98dccd7e, 0xa7bf8381, 0xf8bb7277, 0x087f1775, 0x5a6e3f58,
+    0x2271b55f, 0xa51e871c, 0x6ba84960, 0xe10c62e4, 0x896b3d8a, 0x7bbd8c55, 0x33f04ef5, 0xa2a3e70c,
+    0x6d1a8f85, 0xfa734af3, 0x49009b26, 0x691ee79f, 0xeaafe09e, 0xca398e2c, 0xb0069e4b, 0x9bd8362a,
+    0x8810e491, 0x82b93e39, 0x5763b7f5, 0x2b3b8fd5, 0x7871077d, 0xc242d3c7, 0x56d89445, 0x65a4a786,
+    0x131785d2, 0x01bcfde5, 0x4ac582ab, 0x51b34b6e, 0x43bbdbb6, 0xe7926f25, 0xbde437ac, 0x40e1faf1,
+    0x1539137a, 0x89b24206, 0x19ea1f83, 0x7fb8b18e, 0x3de4b3c6, 0x24047487, 0x33d3bcd8, 0xa8b45c49,
+    0x69aa3cfd, 0xebce17f6, 0x0c1a2cde, 0xde80cff2, 0x7435ee41, 0x1c4bd20a, 0xd748c07e, 0xadf5d14a,
+    0xbb4887da, 0x8f7042ed, 0x5aca6742, 0x5d1767ed, 0x44c1f152, 0x84690a33, 0x9f544f0e, 0xc56c38d2,
+    0x53511692, 0x47c98143, 0x93e71a50, 0xa4694cad, 0x918c768c, 0x62f57fb7, 0x5cae0edf, 0x68c5f983,
+    0x408c5f7d, 0x6b12aa08, 0xc57f6d35, 0xd02d67ab, 0x1e24e677, 0xb02c6da3, 0x6deb0d83, 0x5b897787,
+    0x6dae43ba, 0xd5ab41f9, 0xb3840c0e, 0xc1ec41af, 0x9ab9dcc5, 0x20aaa1e9, 0x582edb49, 0x285ae486,
+    0x868ae778, 0xe63a1ea7, 0x77b287a0, 0x0ec3bc58, 0x7a33c373, 0xa7a42774, 0xe3498c1d, 0x3a934800,
+    0x65897424, 0x19bcb098, 0xdb8ae1c6, 0x18ff8df5, 0x3381910e, 0x51765c47, 0x6065ac78, 0xea6c1800,
+    0x3b1b0763, 0xc29fbc1f, 0xf0929286, 0x3d59f33b, 0x3e21f35a, 0xfe5d2557, 0x4274bd6e, 0x2ae389da,
+    0xa4a9793d, 0xc6099fcd, 0x8b157384, 0xac7f4026, 0x04bf199d, 0x6ce024b9, 0x4f846312, 0x3308f34f,
+    0x0ea7b508, 0xd6798a4e, 0x8bbefe87, 0x3e12d7b3, 0x090d0339, 0x3f132edd, 0x8a787749, 0x7c1d0c98,
+    0x6509b4ac, 0xb0d1effd, 0x885a2667, 0xd369e50a, 0x5184d9dc, 0x282d7202, 0xab71d3d1, 0xa78f12de,
+    0x9c66b70b, 0xf6be27c3, 0x328bed63, 0x3f94349c, 0xd953e4e0, 0xed2b3e86, 0x065d8019, 0x22d692df,
+    0xb3060021, 0x0bc15434, 0x9ae9795c, 0xe3ca93eb, 0xb35bf710, 0x278b3963, 0xe952e73f, 0xbff03d98,
+    0x11695d5a, 0x02fa07ce, 0x1369609c, 0xa3484404, 0x5e354130, 0x73850827, 0x71beb2ca, 0xc6885aa0,
+    0x78f84a6f, 0xb6020faa, 0x6ed85f2f, 0x7a06e7f4, 0xc2fdf3ec, 0x0b25411d, 0x89e33691, 0x0127ecb5,
+    0x30b54041, 0x3d8756be, 0x05cbf0f7, 0xfe2d18a5, 0x80cb4e45, 0x5a6af4a0, 0xf7a2ba8e, 0x556b2522,
+    0xe7073c76, 0x0a573d5f, 0xdce2aef5, 0x84c33255, 0x133380c6, 0x65bae84c, 0x15f7a12c, 0xb208a019,
+    0x7a926493, 0x6144dcdc, 0xb11980cb, 0x5ef6c0ee, 0x6182286a, 0xec892a3a, 0xc06b5182, 0x45f1892e,
+    0x405363d4, 0x11584efa, 0xa72d3ba8, 0x7a19ac3f, 0xcd9848a7, 0x0f7a93e4, 0xf0bc8dba, 0x0a895967,
+    0x469880dd, 0x8dca6e41, 0x355a2287, 0x0255a59e, 0xff26f216, 0x48497ade, 0x65e856ab, 0x6293dae4,
+    0xa881802b, 0x30ec1596, 0xa4f633be, 0x25d92bd2, 0x8b306007, 0x77e95d5d, 0xefdd66c4, 0x7434f5ea,
+    0xc8e13548, 0x7d0e30ce, 0x13389857, 0xf7cf4b95, 0x02bc5634, 0xd23f6dde, 0xc48abd90, 0xb1522173,
+    0xacb272d1, 0xb6104528, 0xc66fa4de, 0x525ad399, 0xc2ee0905, 0xe8797050, 0x2569c4d6, 0xf1f8f508,
+    0x5c1f6a88, 0x1a59eb90, 0x3f36b6e4, 0xa70468d5, 0xea8f872b, 0xa0b6a39c, 0x71e6a5b8, 0xcbeeeed8,
+    0xec74d162, 0x69596cd8, 0xc47ee2ae, 0x4a31a62b, 0xd498b249, 0xd467664e, 0x8a40c32d, 0xe3813060,
+    0xd0d8492a, 0x5c85a490, 0x0c01b752, 0xbb3924da, 0x5687adf1, 0x300a174a, 0xa7f3d453, 0xe8f3cb7c,
+    0x135f5fbe, 0xee579884, 0x730c8852, 0x4259679b, 0xc374cff9, 0xbceb688f, 0x5dbf14ea, 0x444215d3,
+    0x51ce60e3, 0x0c2595af, 0x1dbabeff, 0x8a20ad42, 0xcdafbbde, 0xbd06671e, 0xdc4fd39a, 0x4fa0fa28,
+    0x9d6f1bf6, 0xf79b82ab, 0xb1721045, 0x15c49f92, 0xecf4d807, 0xabc233a0, 0x4612653a, 0x3d6fac8c,
+    0xe051964f, 0x5116d06f, 0xeaa441d4, 0xa11cd18b, 0x21479b91, 0x3b15ca5c, 0x7326c569, 0x564ded29,
+    0x98da7d3b, 0x6899058d, 0x0202424c, 0x71c4995a, 0x0a838681, 0x75e631b2, 0x015468b7, 0xc4c387c4,
+    0x1b0c8bb8, 0xb2c7e05b, 0x386b00ab, 0xf801d2f9, 0x1c2a40bf, 0x6be3fd9a, 0x0904e44d, 0x34d822e3,
+    0x7c309124, 0x49a96cf1, 0x0fc0fff8, 0xbcc680fd, 0x7657500d, 0xa9ddd96a, 0x84f67d7b, 0xf2222e1e,
+    0xbdab4f53, 0xbc66ec88, 0xc575db48, 0x03f585d2, 0x6742e3c5, 0x1d90faf8, 0x4bdbfced, 0x20743c69,
+    0x8126eb7f, 0xb1b17bbf, 0x2f867f19, 0xc71c099e, 0xda0465de, 0xb9212613, 0xbe4f41cb, 0x99c53eab,
+    0xb949e39d, 0xc148a5da, 0x0638ae46, 0x6abc7276, 0x88b712f1, 0xfcff4fb3, 0x3cda8e9e, 0xe9e3068f,
+    0x1ead3058, 0x7a5f556f, 0xfa65a18e, 0x0ed39403, 0x68576f66, 0x7180df92, 0xa9c79d63, 0x420dfc00,
+    0x82404cea, 0x6bedc623, 0xde7bb46a, 0x9df40ce9, 0xaa4d1466, 0x6aa46902, 0x573a9b18, 0x7ebb15a4,
+    0xa367f5fe, 0x22660fc8, 0x5bb306a6, 0x983bdb01, 0xb9f04c10, 0xdb3f6096, 0xad6b91c8, 0x75e19e36,
+    0x19267ef1, 0xe88aaa22, 0x4fc89d37, 0x542e650c, 0xe9610061, 0x2966c078, 0xf011f376, 0x9622c0dc,
+    0x3353c1b0, 0x5e0f52cc, 0x6c0aee20, 0x1653377d, 0xaf8c2851, 0x36c5eb1c, 0x0b7fd411, 0x3cb17458,
+    0x1d5ab2f2, 0xd9b56e71, 0xcaec2efa, 0xd56109d4, 0xa1412665, 0x8cc6e0d0, 0x0067c8cb, 0x6169c531,
+    0x9644bf4d, 0x0089a152, 0xe8400ac5, 0x36a5d4bd, 0xb5e299df, 0xd07fb79d, 0xfeef0606, 0x6e40eeed,
+    0x9f0da934, 0xd4738cb5, 0x8eb8ced0, 0x4751065b, 0x2c59a10d, 0x83a66aca, 0x62588b44, 0x8e7fc15a,
+    0x90198a8d, 0x9a7981d6, 0xb1ad1a3f, 0xeb81d625, 0x315e99a7, 0xf4df861d, 0xca77ce3f, 0x161f4675,
+    0x6e68d6a2, 0xa9f5463a, 0x5a6c54d9, 0xe81087d0, 0x795669fd, 0x09515e24, 0x7add9a40, 0xedf75c7c,
+    0x54a2914a, 0x942b26d3, 0x012edf21, 0xeb692f11, 0xf8451552, 0xe9156e2e, 0x21b9084d, 0x27c0a3ec,
+    0x29c09285, 0x8be87cb5, 0x16db301e, 0x582358fb, 0x3da33272, 0xc2faa5ea, 0x2b640a4a, 0x1affaa59,
+    0x332ca3ea, 0xff178706, 0xa2a3cd67, 0x8f823b85, 0xcb44205b, 0x41a460a9, 0xa3c6ee13, 0x5ecdc2b0,
+    0x763e9a0e, 0x1749eefd, 0xcb61b3e6, 0xc055371e, 0x614b2f46, 0x7ce792b8, 0x0e89f8ba, 0x1b779d91,
+    0xd5980308, 0xa5927e40, 0xac62d344, 0xd3815f50, 0xffa432d3, 0x27f16996, 0xd38448f4, 0x56a7a323,
+    0x07f9eac2, 0x0207e85d, 0x7f3f2d53, 0xdab1c077, 0x0780e5ba, 0xc4bc5889, 0x2c9e1023, 0xb21b3c93,
+    0x73d7bf89, 0xc757b1ab, 0x664ffb0c, 0x18e9073a, 0x7ee2bd26, 0xbb11af8e, 0xb7c54a7e, 0x2f4ca7e2,
+    0x5b4b37b7, 0x763cd131, 0xf59822dc, 0x30564f27, 0xa1b08b14, 0x0629f07a, 0x5f05ac8b, 0x5cf55671,
+    0x49f8670a, 0x8915639d, 0x141a08eb, 0x1ab2fc34, 0xd429ebb9, 0x927a0e67, 0x3e6dada3, 0x6542f4de,
+    0xd582dda6, 0xd959d24c, 0x0c39ddb5, 0xcf7065bb, 0xe690d4a7, 0x70a3a068, 0xeabddc3f, 0xcd86cfbb,
+    0x36b31143, 0x1efb66e6, 0xea8671c9, 0x237336cf, 0x315f8172, 0x51f2b6e7, 0x4a1b1890, 0xc2cf1cca,
+    0x36f3d2a5, 0x7c97dc71, 0x6276b363, 0x8553b8e8, 0xe8405aa0, 0x9c201f53, 0xbebb8630, 0x76a39404,
+    0xf7af56e4, 0x05d1ac20, 0x7de918eb, 0xc325a497, 0x2291e36b, 0x749717b8, 0x5fadfec6, 0x37464056,
+    0xb8ecc31d, 0x5e865d7e, 0x6dccf387, 0x51c52303, 0xa26e050c, 0x296bbdff, 0x21addb1b, 0xd450c115,
+    0x113ec731, 0xaa1cb59f, 0x4b4f02eb, 0x989109e9, 0xe4aaa325, 0x8650e821, 0xa625c92c, 0x9dbb57ca,
+    0x001de884, 0x09dbddb6, 0xfb1d80c6, 0xdeba198f, 0x824c5f29, 0x398a2199, 0x31bc1ba0, 0xec670691,
+    0xd8da0677, 0xc6680a85, 0x6ae65fbf, 0xbf4b0528, 0xb4a2e9bd, 0x14f4021b, 0x1cbdc077, 0x882cae45,
+    0x1d7d422b, 0xf771197f, 0xee4a8e58, 0x5a068fa5, 0xe21aaa66, 0x79b3d21d, 0xfdd87d09, 0xfe69b893,
+    0x7c9424a2, 0x905071c8, 0x85a0ed12, 0x975f57e6, 0x340eab25, 0x0beddc26, 0x339edf79, 0x76abd9da,
+    0x8e8cce99, 0xd82ef10e, 0x211c8e00, 0xc996dcd1, 0x950ecc14, 0xe137024e, 0x30b28f5f, 0x5dd5b8d9,
+    0x54aea183, 0x4742f6f2, 0xe9dcfb8a, 0xe61c0e13, 0x2413fb47, 0x94ec7417, 0x844d51d1, 0xb392ea3c,
+    0xdd5db820, 0x1b245eff, 0xad3f64b2, 0xd95ed5b0, 0x8d8aefbc, 0x7eb03f92, 0xe4d79a5f, 0x4a335960,
+    0xd3d2f1a1, 0x3ebf327a, 0x6ae2e2c9, 0xa5902397, 0x88fecbb3, 0x971ff2c0, 0xfd7ef971, 0xd45d4950,
+    0xbd81fce8, 0x4bfb0024, 0x3c5bf0b7, 0x4eceb154, 0x0d3fae84, 0xfb7037b5, 0x85aa4751, 0x3df3b014,
+    0x23b2673d, 0xf72dc40d, 0xcb14c421, 0xc938ac0a, 0x8d7c4190, 0x75b7a53f, 0xabdef424, 0xcb5a21aa,
+    0x63eee123, 0xa2a58b81, 0xa08beea5, 0x8531d1be, 0x9e5ac3a9, 0xd26fcd7a, 0x5e21f1cc, 0x5e5680f5,
+    0xbe0df0df, 0xabc3400c, 0x60148ad0, 0xbedf5935, 0x752e0e87, 0xf96a0bf1, 0x19b4a827, 0x6ee9d966,
+    0xbbda8993, 0x3cf47597, 0x7bb4829a, 0x15049fcf, 0x31af844f, 0x470537ac, 0x0f82de7a, 0xd794b1c6,
+    0x543cf8fd, 0x28733e93, 0x0dffa447, 0x8663b94a, 0x742e8f51, 0x9f4c05f3, 0xb0b166e3, 0xa114dac0,
+    0x3abb6aa0, 0xda821a29, 0x006b5a69, 0x6f10d26b, 0xa6ff7126, 0xbaf92d43, 0x20b6c7ab, 0xcfe5e62b,
+    0x10230bae, 0x4691c42a, 0xa98950d7, 0xa0db38d6, 0x6891cc6d, 0x7c9ae1a6, 0x5190cbbe, 0xb44f41bc,
+    0xbf640f9f, 0x4d12a853, 0x69f94b81, 0xf9919261, 0x7f6b8bb0, 0xa6411ce0, 0x1a9ba8e1, 0xdba02f11,
+    0x4e9fb8bb, 0x6b97b900, 0x05058a8f, 0xfea8d8d6, 0x988e0e97, 0x098acf0b, 0x87305be2, 0x2d463fd4,
+    0x3530c5d8, 0x6b6a9e3a, 0x3dc6c155, 0x8430b1a2, 0x8c81df0e, 0x9401a18e, 0x7f1b02d9, 0x0083bdd9,
+    0x55c2eb2a, 0x2149c954, 0x3db03300, 0x7a713cc3, 0x3f398c68, 0x0e0a45a8, 0x2415fc87, 0x3dfd4775,
+    0x61f311fd, 0x4dc43c7c, 0xca8c869c, 0x4bca730c, 0x3e0ec2db, 0x92fc0b92, 0xfc2553d1, 0xb9997b1c,
+    0xbc4be341, 0x494d4a90, 0xcc30e576, 0x040dd70f, 0x771bafff, 0xddb209b7, 0xaa17b525, 0x78493623,
+    0x5ad18515, 0x5f3c9c1d, 0xa407b883, 0x913b8746, 0x3198e6dc, 0xc1a95dc1, 0x9b890e10, 0x9a705d35,
+    0x13e217a3, 0xb8e773fe, 0x9dbc3959, 0x40950c20, 0x736d92cb, 0xa0f18256, 0xa6426c71, 0x9401712d,
+    0xf5864b32, 0x95be4537, 0xa920ba56, 0xe6519b21, 0xdb2a80d6, 0xe96a0c0a, 0x81a3f00b, 0xac0130b5,
+    0xd9713a5d, 0xe34ddeb4, 0x1a4b6e0d, 0x53f6c0b3, 0xcc18b6ec, 0x205d54fc, 0xc6a20298, 0x31cba974,
+    0xbef969dc, 0x149683e6, 0x2ae59e56, 0x6b99a408, 0x053eea8d, 0x8e8e341c, 0x0132eab8, 0x5a51a20f,
+    0xd8550cba, 0xbb8169ef, 0x3e40a8d7, 0x50d5d54e, 0xe7c59682, 0x6a45d4a9, 0x93585635, 0xb710f580,
+    0x8740e9ad, 0x5ad7b583, 0xd23b1451, 0x5a9d9678, 0x9696fc72, 0xf5696e8e, 0x849ad634, 0x94c60a99,
+    0x240c5422, 0x37c12a93, 0x0764a78d, 0x8d5eb834, 0x8a6b4e51, 0xddaf0fe6, 0x732639c9, 0x09b47f9b,
+    0x3d4c3103, 0xc3b726e8, 0x24baca27, 0x4fa7fcb1, 0x78f1ad42, 0xc66860fd, 0x40f7471b, 0x4b9eb7f1,
+    0x5ef87394, 0x0ac5ab61, 0x201c98b0, 0x3429fbc6, 0x142a7a56, 0x1e3193ee, 0x3f548f81, 0x297c67bc,
+    0x39a3b94e, 0xe1cb8d82, 0x000685a4, 0xdbe98479, 0x277319b8, 0x42ca2c12, 0x0ebe5ef0, 0x9c7692e8,
+    0xeef349f8, 0x38b4eda5, 0x55da42fa, 0xb9a65c0a, 0x9655a4d8, 0xcacae71c, 0x5d734721, 0xaf2e772b,
+    0x0a2ab98d, 0xf6aa3faf, 0x7118d75d, 0xbf5d6504, 0x15b85102, 0x401ef652, 0x5f857067, 0x0f266757,
+    0x4497a64b, 0x05253b17, 0x4ce8c34b, 0x2cc7ab20, 0x36f93ff6, 0xb2942098, 0xe4c10f97, 0x34f5fc95,
+    0x8c15c065, 0x7ec7ef30, 0x9f5adffe, 0xfafafde9, 0xa603042a, 0xe0f579a6, 0x67c2240c, 0xbe78cf86,
+    0x00000000,
+    0x2402c93f, 0xd406db50, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000005192296858534827628530496329220096 */
+  { 0x00000000,
+    0x931edbe0, 0x9bca14bc, 0x88c83270, 0x12e86bd4, 0xec13b8ad, 0x8787bd95, 0x69f008c0, 0x6dd289e6,
+    0x44ad337f, 0xfb9be98e, 0xdcb0a814, 0x831827d5, 0x1d320773, 0x51520978, 0xd194c06b, 0xd3332249,
+    0xdd421942, 0x714edd8d, 0xcdcd2612, 0x9fd20360, 0x71b26006, 0xb862a3e0, 0xdc693b10, 0x07a21d2e,
+    0x8797f368, 0x34477af1, 0x2cf52a2b, 0x189c051e, 0x0a4898b8, 0x2944293e, 0x0fe61ab1, 0x76c0ebcf,
+    0x33159575, 0xd4b5d52c, 0x0f4e5dab, 0xc46357d5, 0xa02ea701, 0x07d8332d, 0x9444f99b, 0x8c31e3bb,
+    0x1a2c706e, 0xe3b49c7a, 0x28bffcd8, 0x31dadfa6, 0x62647bae, 0xe293d8d1, 0x8b644fa6, 0x6ea6bf67,
+    0x08b17e27, 0xf216f659, 0x957d5469, 0x3cf213e4, 0xedcc5a86, 0x8e4c81cd, 0x09732b15, 0xe1fa15a8,
+    0x00b1d5fd, 0xbc65705b, 0x7845908e, 0x4efe6107, 0x75cbec27, 0xfe77273e, 0x0c60294a, 0xb420bb0c,
+    0xc8265100, 0x742d6638, 0x8c0fda5b, 0x1ac9f162, 0x19db3d9f, 0xc35d4c62, 0x0b7f6826, 0x410be4e9,
+    0x2ee6afad, 0xff45e57c, 0x8b929f9c, 0x9380cbbd, 0xa54bb0d9, 0x36b771dc, 0xd3d5a800, 0xb50c5af3,
+    0xd5283019, 0xff738bd7, 0x56b1ae95, 0x2b7a67f3, 0xa2022310, 0xe242225a, 0xb576f377, 0xadeb2264,
+    0x99ae52e3, 0xd19e912d, 0x7bba78e4, 0x61781cf4, 0xc66a7137, 0x561dcfd7, 0xbdfde992, 0x6a4d4efb,
+    0xed4fc1ce, 0x8c844ccd, 0xe8a73fae, 0x2c945e94, 0x91afd8c5, 0x9e194df6, 0x06ccbcf7, 0xf158da20,
+    0xfcf5c393, 0x10421f39, 0x3e56f34b, 0xcb9be4a6, 0x45739281, 0xfc2cde6e, 0x988c5bc5, 0xfa88a9f4,
+    0x79cb3cb0, 0xc7bcdd99, 0x2aa981b0, 0xcbdc498a, 0x46a6f0c0, 0x547f7650, 0x0bdb03f7, 0xf1b93366,
+    0x5f63aeaa, 0x5845f8b0, 0x6837b740, 0xe83a20b0, 0x8741f932, 0xa0b220cf, 0x41bc74cd, 0x832a8da0,
+    0xb72dcd28, 0x81a1adbb, 0xd575210f, 0x65680f9b, 0x744f79e1, 0x316686b6, 0x70a187f9, 0x6f3e96df,
+    0xf4cc54f3, 0x6f27a8a9, 0x8504e66b, 0xad2dc803, 0xe2ebb7a4, 0x3bcd809e, 0x835370f4, 0xfbb8c725,
+    0x5e11661b, 0x5e99fa90, 0x6ca7256c, 0x8fceaa6a, 0xab7b1448, 0xa10c8475, 0x4cbf9061, 0x97a05308,
+    0xddb6f860, 0x5ca127e3, 0x3c9b8e9b, 0x6994cdcc, 0xba006145, 0xd05af3ea, 0xfb43fade, 0x4b03a9c4,
+    0x6828b3d3, 0x2b5ca01d, 0x442cb969, 0xfdec1698, 0x849efdaa, 0xb03fee93, 0xbb7477fa, 0x8a18d854,
+    0x783acba7, 0x2bd7de6a, 0x659e2d40, 0x6dc4d6dc, 0xadfb78e3, 0xc5428722, 0x26063a83, 0x9e814f59,
+    0xfc6ec9c1, 0x7013fb01, 0x220065d6, 0xbdc4f40b, 0x21b68ca2, 0x27a3d3bc, 0xf6caba7d, 0x3efee33e,
+    0xb63e8d2d, 0xd999a5dd, 0xe1bf35ae, 0xbf514b87, 0xf5b8295c, 0xf8343b1b, 0xcc4f6bd6, 0x102e9d24,
+    0x396df72a, 0x9ada47af, 0x0b423c6c, 0xb3e96e8a, 0xcde907da, 0xe6c984a4, 0x9d0da102, 0x636b3501,
+    0xc5069748, 0xf0ac39ae, 0x4421d564, 0xedbbf11b, 0xc1a5ab08, 0x084c7d5a, 0x7c378e18, 0x994fb52a,
+    0x66e7e2e2, 0x4e53e374, 0x27be5a05, 0xdccc26c2, 0x3dc4c458, 0xb727f801, 0xfb01572d, 0x2c74798a,
+    0x2c315200, 0x95612792, 0x53e730e3, 0xcd358902, 0x609d93ac, 0x9ad13ab1, 0x6bb1ecda, 0x3c52f5f4,
+    0x8b10104d, 0xeb603735, 0x95c64fa8, 0x5a667b07, 0xe3d4b1ef, 0x2e43ead2, 0x74900b9f, 0x96b6ad96,
+    0x278be739, 0x62913dc0, 0xd14f53e4, 0xc0c0b701, 0x0a2b11fd, 0xe3c656dd, 0xa06d8248, 0x76815516,
+    0x13d6b819, 0xcb29bd35, 0xa355d03a, 0x6b53c8b2, 0xf3fb2094, 0xb5894645, 0x908f5d16, 0x229e622a,
+    0x1ec4a6ae, 0x8a74465a, 0x5992bacf, 0x7a66c2f4, 0x1abff603, 0xa184f9d8, 0x92b1630d, 0x3fe14238,
+    0xc5c9ac67, 0xcac0a6e7, 0xd10d72a2, 0x3bead9ab, 0x26463dc8, 0xe0743f02, 0x62b66e91, 0x013a931a,
+    0x8df3a3c2, 0x99bd0ff5, 0x2914eef0, 0xa9c65624, 0x04c1bfa7, 0x72a3d295, 0x6c28f788, 0xfa400ca4,
+    0x6d13e2e8, 0xb9a0552c, 0xdaf8b566, 0xc7b63799, 0x70bc9cc0, 0xac1d3a83, 0xf3c35537, 0xf9774ca5,
+    0x76105ea9, 0xb011e25c, 0x3b9b530a, 0x2432e429, 0x1c36924f, 0xbc8d533c, 0xb51614c1, 0x841062b6,
+    0xa239361b, 0xcc2b10cb, 0x2b89c826, 0x0695c1c0, 0xbede5278, 0x26b46348, 0x43aaf43d, 0xf0666115,
+    0xade58a79, 0x278e1f56, 0xbd9dacff, 0x2a2ae9be, 0x2adb194c, 0xc9f8d1a2, 0x946cf0e6, 0x3656be55,
+    0x09387d2f, 0x0baffe45, 0xcecf4fcb, 0x41fc92c1, 0x81bcb7a8, 0x0b69d0a0, 0x41cef1f0, 0x9b2608bf,
+    0x68b0b598, 0x1544ccf8, 0xc0277710, 0xfdb98e31, 0x4d1865e7, 0x3c6c46d1, 0xe9a9774b, 0xb6e518c6,
+    0x70570b02, 0xe49a3625, 0x90c38aba, 0x2de3be4b, 0x3b11da7d, 0x0a29f90a, 0x24413863, 0xd73916ab,
+    0x9a92b63f, 0x3d59f385, 0x6aaea648, 0xe8cc3040, 0xfd9ee74a, 0x201332c1, 0x220b2218, 0xf3f1ea6d,
+    0x7b9cad11, 0xf2c55873, 0x0a5793d7, 0xfedbed8b, 0x3e448c08, 0x1089df51, 0x4a5785cf, 0xe988a34b,
+    0x9f839839, 0x12011d31, 0xf3ef41f6, 0x3aa63ad5, 0x0b87be3c, 0x544f9201, 0x8068ea12, 0x4d760802,
+    0x783556f1, 0x21c49051, 0x95e3633d, 0x71c66aeb, 0x619a85ba, 0x7c57b1e2, 0x602f54ed, 0xfff723e9,
+    0x32273ca3, 0x8a156ed4, 0x266fd653, 0x9c03e90f, 0x7888d1bd, 0x47c7fc68, 0xc838e4e4, 0x91099cbb,
+    0xc6fa7c77, 0x7327deb1, 0xa00508c8, 0x94bb4f0e, 0xbb2261db, 0xcfd89582, 0xe8dacbd4, 0xb3d1956d,
+    0x1f2e3f83, 0xd28ca064, 0x980d0741, 0x1dc32e6a, 0x7cd82046, 0x27bdfc9c, 0xb4276dec, 0x5f9f1140,
+    0x59a63347, 0xb7993c99, 0x824ec2ad, 0x60d300b9, 0x341a4560, 0xf9b86b69, 0xcc9f5b4e, 0x29b492df,
+    0xad8c0e94, 0xc5d65291, 0x38981628, 0xae5cd2f4, 0x9192e00b, 0x235aba89, 0x2aeebfab, 0x7a04fbaa,
+    0x9a4760f6, 0xbf01bb42, 0x74614ff1, 0x083393d8, 0x95ad19f2, 0x8dd48b45, 0xf6551e0b, 0xd3db185e,
+    0x8449f633, 0x21109d7e, 0x742f0ec1, 0xe59525fe, 0x2813e157, 0x0e22e80a, 0x176c7712, 0xb8aae26c,
+    0x340c5a36, 0x2d234a4c, 0x4dbabdc6, 0xfdd7a27b, 0x46467d84, 0x491c90b6, 0xc87dd6c0, 0xb67ad3ac,
+    0x0885e655, 0xaccf6fed, 0x43c47068, 0x7738e2f3, 0xc3b6209c, 0xbcfd306b, 0x8d68452c, 0xe6c60eab,
+    0x0daf9962, 0xe0ba974b, 0xe8f57488, 0xdadc177f, 0x52bcff80, 0xf4fc1600, 0xbd4dca54, 0x1c382942,
+    0x46468093, 0x30702877, 0x5684676d, 0xea51c097, 0xb0324ac3, 0x30d76b1f, 0x79f1fa65, 0xb24214b1,
+    0x558c65b3, 0xbebd670a, 0xfcf90d26, 0x8e19d3a4, 0x6f0689bc, 0x10f2da19, 0x6d323fd1, 0x2f8e703a,
+    0x2383f1a2, 0x2516b46c, 0xd761e029, 0xeefea708, 0xb112ba9f, 0xf953212e, 0x587c70b6, 0x62450738,
+    0x94ed3b09, 0xa3468056, 0xa21dc451, 0x8845d72b, 0x8e012fbf, 0x650ccc22, 0x45f30847, 0x6f5fca80,
+    0x18b29cf8, 0x99452207, 0xb9a25e3d, 0x900d66c4, 0x29c1082b, 0xe2af32a6, 0x0b6e54c2, 0xf6a4be69,
+    0xc3f35629, 0x865f9286, 0x2502c1a9, 0x06a4adbd, 0x7b093460, 0x166f4f05, 0x762d7e5a, 0x5b09c3e5,
+    0x7e40c9c0, 0x56e5a8ab, 0xad9a3728, 0x3ccf5275, 0xf54b02b8, 0x1019df0b, 0x04a82e5a, 0x7f13ea66,
+    0x29193f94, 0xcef92532, 0x615bb003, 0x5270b372, 0x32646292, 0x2a334501, 0x7a970a68, 0xd3cca13f,
+    0x6bd345bb, 0x73abcdfb, 0x460d3dd1, 0x2edf3853, 0x83c4c02d, 0xe278c9f8, 0x3a39e6ad, 0x801e5ee6,
+    0x34d3038a, 0xebd6c0b9, 0xab511641, 0xcfd89c6d, 0x88f2a700, 0xc0e38822, 0xbea2fdd7, 0x14bd27b7,
+    0x22c4be36, 0x39a4e5c8, 0x9f3e1b03, 0x54051981, 0x91b7fa12, 0x7cb11957, 0x4659abc2, 0xba6f18d2,
+    0xd1118c2d, 0x95b7d073, 0x249fdf33, 0xfb434b7e, 0x5da91b08, 0x69e3495a, 0x2e527325, 0xa9f314f2,
+    0x01b91bfc, 0x2ddd676b, 0xa1240e94, 0xe8f162c2, 0x777135b9, 0xd2c343dc, 0x391e4571, 0xeefabe24,
+    0x8f36cd3e, 0xd52e21ed, 0xab88b972, 0x3f459371, 0x2e7ed2e6, 0x815a7b33, 0x63583e4b, 0xc3873470,
+    0x11cde4c3, 0x28007847, 0x99dfa9b2, 0xd46ea3d4, 0xe1be007b, 0x25af905b, 0xc55d5b1b, 0x29a47016,
+    0x00c268cc, 0x29823a72, 0xf1275bdc, 0x2b6f5201, 0x4bf77f03, 0x5fabe977, 0xa68fe6ab, 0x785bbad9,
+    0x7ed9bb14, 0x3ebe00ac, 0xd9a988f7, 0xdb0bc7dd, 0xa9b8a0b4, 0x746e1cf5, 0x89c05ec4, 0x6177ffef,
+    0xc380c381, 0xd7768cd6, 0x651fcc85, 0xa483520c, 0x9b1221cd, 0x3962bc22, 0x06ca6ea7, 0x00c04c7a,
+    0x8f2110a4, 0xdb8d4ee5, 0x02d089f2, 0x0779fa19, 0x50824d86, 0x9161b451, 0xa7c1b051, 0x4d8d46d0,
+    0x5f934180, 0xb2b59cac, 0x03c6ae21, 0x19227fda, 0x58c71d18, 0x7f95b9ec, 0xc0c67c0e, 0x65f572c8,
+    0xcc1ed22b, 0xa29ab1b4, 0x1a61527f, 0x88259e9b, 0x26ef50b2, 0x1418e869, 0x11450fa5, 0x1c54eae4,
+    0x08cf5eca, 0x13adf6dd, 0x62a7f4b4, 0x13dc1070, 0xf6bdcd73, 0x09452a94, 0xef3a2487, 0x6da39458,
+    0xd1cd2d03, 0xd5d3bd09, 0x3b035df9, 0x66780b4f, 0x1026f3b8, 0xf0862554, 0xbd7085f9, 0xe460dddd,
+    0x4749e4d1, 0xe841df79, 0x0fd114d3, 0xf34f21ba, 0x601f326b, 0x239606c3, 0x3b68ed4f, 0x9a4298e7,
+    0xf6a8a79e, 0x2ed7a553, 0x0035eec0, 0xdb852738, 0xbd64afd0, 0x14b60a70, 0x08c9df13, 0x4160f021,
+    0x8bd5e7a7, 0x5442e782, 0x79946d3e, 0x247cc33e, 0x36094953, 0xc4555ed2, 0x3da2e54f, 0xf6b74315,
+    0x59bc9f69, 0x6a37b8ee, 0x59b30136, 0x07ea3154, 0x50c99f13, 0x83451084, 0x30753d19, 0x82e6af72,
+    0x597caa08, 0x19971d2b, 0x3619ba08, 0x0cd85f6d, 0x36d6c31c, 0xddcb6d22, 0x561e8987, 0x3b50dc16,
+    0x50dc9be1, 0xda503d95, 0x91948009, 0x2e15026f, 0x4ab99216, 0x6972bd28, 0x592bcf86, 0x7fbd4533,
+    0x55d9021c, 0xb5729fd8, 0xec03b455, 0x792cffc6, 0xc6eab360, 0xcb6823c7, 0xa68c76bb, 0xba559a47,
+    0xc42ae9e2, 0xfce3c570, 0xa2104214, 0x79896c6b, 0xdeb44087, 0xf2a772ec, 0xb9cb8899, 0x4a85ff9d,
+    0x4bba83e9, 0xa5f46aca, 0x33acd498, 0xe2390f6f, 0x2e107974, 0x104481fe, 0xaf37b13d, 0x0585dc3f,
+    0x18000dd5, 0x8ffce7f8, 0x8a227467, 0x5438fe51, 0x30832d35, 0x3a95faa0, 0x6163b4e9, 0x45ac4fb3,
+    0x023c6486, 0x15c90dc1, 0x210d3c7b, 0x51101eb2, 0xbd2e2b3d, 0x0cf8a7c3, 0x53507089, 0x72cd6963,
+    0x63f4d5fe, 0x040ef1f5, 0x625bf528, 0x30f270a1, 0x442d9688, 0x51afe992, 0x97fb8a3f, 0xa2896834,
+    0x1d7b4aac, 0x3cab9e8f, 0x21c89c14, 0xbcea2019, 0x1462a25c, 0x8576b156, 0x799c34ff, 0x8790eba8,
+    0x0f91ca77, 0x6d82d6b9, 0x060706a7, 0xaa2de7a3, 0x496ccc5e, 0x66eb077a, 0xaa7fd150, 0x5a54754e,
+    0xc734516b, 0x31e1b2bf, 0xd5499224, 0x4e25626e, 0x8f4319ce, 0x1421ea3c, 0xd0aac338, 0xe6a4cc43,
+    0x59e56068, 0xf2e40c63, 0xd85b4991, 0xc2069758, 0xdf63290a, 0xb97f72cc, 0x6c3a5b13, 0x922c5ea9,
+    0x91616c53, 0x7b67c40c, 0x9b75d0c1, 0xdb2acfe6, 0xcdd34bff, 0xe9cc540d, 0x7565362b, 0x95097963,
+    0x7e041d90, 0x49799f6a, 0xac471622, 0xdb924cc9, 0x3f53f54e, 0x837fca71, 0x54a3daa1, 0x63e1cbe3,
+    0xbf434494, 0x83b14aae, 0xcc1ead40, 0x8fdde3b0, 0x5ea15ce4, 0x7164d650, 0xd3491b6c, 0x195cae14,
+    0x8a5bf3aa, 0x51639f36, 0xc756ffa8, 0xd21145f8, 0xc858b568, 0x6af89d84, 0xf8734df6, 0x4fa00279,
+    0x0b353395, 0x51bb79f8, 0x739ff196, 0xa7ec6d04, 0x2edbf804, 0xae06a3e5, 0xa37254a8, 0xc29f1c67,
+    0x58b1f4b8, 0x9a9e27b6, 0xaf96b6bd, 0x8bdf15c3, 0x7e1ecbc4, 0x5b7aff08, 0xd7ee8c3e, 0xc50b40ad,
+    0xf8c4ba0f, 0x0e793d20, 0xa62a621e, 0x91b93800, 0x626e5b82, 0xcd81d6af, 0xca3d7f3a, 0x25e7e795,
+    0x0cff7723, 0x48dc0914, 0x7517e982, 0x211ee136, 0x4f1ff168, 0xd48ce898, 0xe3ea8832, 0x089ef1ad,
+    0x569dfd61, 0x28335807, 0xa78be293, 0x6c70a003, 0x12db3373, 0xd8d40888, 0xbf122a90, 0x1b5c2d37,
+    0xc6f977d2, 0x45e09c81, 0x5c78146e, 0xf923732e, 0x0522418d, 0x3bc01199, 0xcec13d25, 0xc18eb56f,
+    0xa4e0168d, 0x39e612db, 0x00bd6650, 0xb2c4c00e, 0xdfe04ba6, 0x573664f1, 0x9fe06b94, 0x24dbed47,
+    0xecb7296f, 0xbd87b212, 0x6ffda49d, 0x7dec2393, 0x28250e9c, 0xd5d7e40d, 0x37ef8e9f, 0x7422d744,
+    0x552d2d55, 0x07e0bc07, 0xc49b97ae, 0x660b35f3, 0xef79b8f4, 0x58195f3f, 0x4eaf0638, 0x32c0b446,
+    0xf5432b50, 0xe304580f, 0x1b1a5159, 0x66d4c205, 0x8d0fdc5a, 0xf6216681, 0x71d1b481, 0xdcbee0e0,
+    0x0474dabf, 0xbfa5d448, 0x38f25f87, 0x20331d3c, 0xfef157e4, 0x91bf0561, 0xd6933fc6, 0x5ae57c17,
+    0x47a99ab8, 0x01459cbb, 0x31cf2555, 0x7975b19a, 0x7d24af39, 0xd484460f, 0xa7a1b9c6, 0x2f4be350,
+    0x3a22db86, 0xd7936231, 0x0fffe91b, 0xae6f7849, 0x2da1c412, 0xd621d508, 0x351d2d8a, 0x30855409,
+    0xf43fe35e, 0x30c606c1, 0x39b61430, 0x1d0efb1b, 0xd0c643b2, 0xf6bb89b7, 0x8feadea0, 0x0d7cbde1,
+    0xb0c37f51, 0xd3455848, 0xc25d6d1e, 0xa80d1f23, 0x86478272, 0xc089368b, 0x360487a1, 0x8d3fc149,
+    0x44db0a3d, 0x7a0ea4d9, 0xdbb4a887, 0x7ae171c6, 0x0dab8476, 0x381f8851, 0xaff8b116, 0xdd30f2d2,
+    0xb6db8e50, 0x8cc6098e, 0x84e4742b, 0x340c8307, 0x7955811c, 0xd1cefdc5, 0xacba1e9a, 0x3e76cef1,
+    0x6e5a61ff, 0x588b3626, 0xc4ad7671, 0x97afcf10, 0x20f25b6c, 0xdb6dbc96, 0x9214605f, 0x96dc74c9,
+    0x59c5eccd, 0x2e58847e, 0x545328fa, 0xc1456c7f, 0x1937d99b, 0x0a018069, 0x03c242c6, 0x2b1913f4,
+    0x456b7fe6, 0x3bf795ed, 0x3f57f839, 0xf4eb3270, 0xf7faf9ed, 0xb19d8b48, 0x181394c1, 0xe6aee791,
+    0x4e32b841, 0xf72f2915, 0x5be92c71, 0xaae0446e, 0x7e35b264, 0x05085149, 0x7ff5b855, 0x522d5059,
+    0x85f3de39, 0x5e5c2ca4, 0x842fd73a, 0xd88b2772, 0xf2b0524b, 0x606c3329, 0x046df212, 0x81c9c14d,
+    0xdfc09e8e, 0x770f4dc5, 0x67b2cf36, 0xcb3fe314, 0xb017c414, 0x9b31f516, 0x60e460f3, 0xc9e1cbcf,
+    0x5e84f015, 0x3ecd4cf2, 0x40f82ac8, 0x4d378065, 0x54d39a7d, 0x6532fcde, 0xd7a42943, 0xb9d12cf3,
+    0xaf4d00dc, 0xc6e494c6, 0x0e7b4178, 0x710728d4, 0x23ee119b, 0x6f6fe587, 0xe0f5e49d, 0x0377fdcc,
+    0x99511e0d, 0x1f7dcdf1, 0x382d4889, 0x2955403c, 0x31a02ba9, 0xd7b9a0c5, 0x18eaeb82, 0x3c851e53,
+    0xa3ce50b3, 0xa933bd6c, 0xc204fa47, 0xc28680a9, 0x62b4e145, 0x52da94fe, 0xe13f18de, 0x344e6640,
+    0x76584e71, 0x11b911d7, 0x4aadd4b6, 0x8ac0d2b1, 0x1da2433a, 0xec4b64d0, 0xd5e35d85, 0x9c246b24,
+    0x00000000,
+    0x1201649f, 0xea036da8, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000002596148429267413814265248164610048 */
+  { 0x00000000,
+    0xaec0c9ed, 0x671350b3, 0x6598ea91, 0x28fac01d, 0xec8b33b8, 0x15cb1aa5, 0xe45dba38, 0x254086af,
+    0x904db9e8, 0xb5cbed65, 0x0041ea12, 0xb8c97a35, 0x8816832a, 0x4e44f21e, 0xba2fa4f6, 0x73389d9c,
+    0x26a5cea0, 0x1e743f46, 0x18988c3b, 0x1f84bd0a, 0x6e1de991, 0x76fc43b3, 0xc36bd2e4, 0x02f801bc,
+    0x1ede4ad7, 0x4f088ef3, 0xbe8ea8fc, 0xaa88b6b7, 0xd2ddd47a, 0xe2c54666, 0x030d2e2e, 0xfec4ada2,
+    0xcd078b50, 0x5a24910a, 0xb815006f, 0x703f267a, 0xa484001d, 0x9398adb3, 0x820d7415, 0xa606082a,
+    0x1b24884c, 0xa64450eb, 0xbc42b97f, 0xb3aa6915, 0xdae57410, 0xdc07da00, 0x64be665b, 0x9de8bafa,
+    0xd36a6380, 0xa89bd88d, 0x0aae64d0, 0x2ae85e81, 0xe8ca92f0, 0x8afc92ba, 0x1387b953, 0x1e544fc9,
+    0xbb46c530, 0x9fcf3dcb, 0x0a27e883, 0x0c392f56, 0x1d24ba53, 0xc488a7a9, 0x003ccdab, 0x569397a7,
+    0x4f62cebb, 0x3805f951, 0x1adf2b9f, 0xef5c106e, 0x28e640c7, 0xc9c63b2b, 0x0fd19771, 0xb188e755,
+    0x89c90a17, 0x347043ec, 0x284657ff, 0x7ad955ef, 0x73bea721, 0x895d8ac2, 0x1a275f54, 0xcd92cad5,
+    0xf23e34fa, 0x8b9632d7, 0xc0efbe44, 0x078b48b4, 0x5564702a, 0x2978ac33, 0x332be57a, 0x8facf32c,
+    0x721dc95e, 0x8783bf06, 0xb369a0d0, 0xd258e527, 0x800469a7, 0x7c427f2a, 0x10dfc395, 0xc102bcd8,
+    0x71ced192, 0x3311859c, 0xee5dd3bd, 0xcf6061fa, 0x0c17a844, 0x6016148c, 0xb05fed84, 0x7c3f9533,
+    0x53666d41, 0xc2c5bf28, 0x06b0e0e9, 0xd8f5662f, 0x5256ebbb, 0xbef67061, 0xc542a7b4, 0xa788a3a3,
+    0xbc328d39, 0xe353d17f, 0xd7a1e4b7, 0x59a105c2, 0x54abb94e, 0x5e3ba3f0, 0x6e48a044, 0xcaecf7b2,
+    0x397642d5, 0x14fb9c23, 0xe3b8cccb, 0x3bcde88c, 0x93a45806, 0x3f34b53e, 0x58aa046c, 0x75acd167,
+    0xe5568d78, 0x1c375901, 0x41adb60f, 0x48520f46, 0xd0d896b3, 0xbfe88ce4, 0x38572504, 0x9e616cb5,
+    0xa66f6002, 0x9d0d8c36, 0x50de19e0, 0xc90a42ea, 0x2a83dc0f, 0x763092bf, 0xa7c79bf7, 0x38303acb,
+    0x46ffc671, 0xf1e24684, 0x29b3dfcd, 0xd60b192c, 0x8a25d403, 0xc85d23fd, 0x28e42711, 0x55863e0e,
+    0x918ad291, 0x93838726, 0x7ad0b931, 0x13235477, 0x5bb5f7b3, 0xc344afd3, 0x22592ba1, 0x7c709291,
+    0x6f02ede1, 0xf5b5a9b8, 0x29530d36, 0xd2143f9b, 0xa8224e25, 0x30a7307f, 0xcf04a994, 0x238b2173,
+    0xb6b007e9, 0x2e3f4baf, 0x5e4c98de, 0x2e2666e8, 0x7371b95f, 0x1f86ad40, 0xf2f83f8a, 0xb58d0d5f,
+    0xc53abce7, 0x58f9a372, 0xdb100c5e, 0xb6554fc5, 0xfaeb339b, 0x1fefdfd4, 0x0a56a061, 0x1b30360c,
+    0xde8fffe2, 0xc3e9c1a0, 0x0324620e, 0x75842ded, 0x2b83b423, 0x0ca7f7be, 0x0a379faf, 0x2cd4aa8b,
+    0xfaa42aef, 0x70bab0ea, 0xdac15db1, 0xa7c81313, 0x0021f7ec, 0xb39fe5bd, 0xdff0396e, 0x325ea3ec,
+    0x74c42ae2, 0x23463ec0, 0x99fc0ad0, 0xdd3212ba, 0x951c1155, 0x3466afdb, 0x0a5eb916, 0x9808494e,
+    0x9b1b5fbb, 0x126eb7f8, 0x232a966f, 0x8ecdcd14, 0xac06e3d2, 0x9d3edab5, 0x8f223aaa, 0xdd73dfe1,
+    0x4a20798a, 0x2829c354, 0xd321e99c, 0xb9632ec4, 0xa2d00a11, 0x8d422a58, 0xb25a9e4f, 0xc9960baf,
+    0x178c65b1, 0xda3f4e9a, 0xe0f73d3b, 0xc4377cdd, 0xaba723f8, 0xae26a0a3, 0xa65258b2, 0xc6669a98,
+    0xb69a0c52, 0x6bcc0dce, 0x670c3477, 0x014f7cc7, 0xe79ce25b, 0x809419ce, 0x7186cc38, 0xb5e4ae69,
+    0x1e3c08d2, 0x84c93720, 0x3535a866, 0x1e846983, 0xa423fa1b, 0xd4560106, 0xd856f812, 0x5bc5b98a,
+    0x2f768a06, 0x20fe6405, 0xf68c25e0, 0xe19722ca, 0x35752795, 0x9b45c1f3, 0x652f757c, 0xdf09016f,
+    0x11290ce9, 0x965073e6, 0x61582ec2, 0x47a87d0b, 0xac42faab, 0xd39aa65b, 0x8d582a8f, 0xc68ad9cf,
+    0xeef097a8, 0x5a230eb5, 0x15425cb6, 0x3edc8ac0, 0x168af253, 0x370399e5, 0x08fd94c2, 0xafe39a83,
+    0x9c079513, 0x5401d6fd, 0xdfe26d0f, 0x51d2756c, 0x8d666110, 0x61033c9a, 0x674ca4e2, 0x75ee5477,
+    0x2287d938, 0x7eb7f166, 0xea72ae67, 0xc5307629, 0xbb1ce742, 0x59602352, 0x161947bf, 0xb037db9f,
+    0xc2c0d060, 0x89f2b536, 0x40866af9, 0x10b92423, 0xa3968542, 0xdb935d23, 0x50734aa6, 0x061b538b,
+    0xc0ed9013, 0x58a57e87, 0x17fcacd4, 0xc11525bb, 0xee44426c, 0xe6994952, 0x836f2267, 0x642d276d,
+    0xcd09f87b, 0xb30ac6c7, 0xfa60d1d6, 0x53b713eb, 0xa3ff24d2, 0xbf8af111, 0xb51b4c70, 0x379e5d2a,
+    0x2489af68, 0x36da0f76, 0xe7bc4bb8, 0x67eca71c, 0x8583c4ca, 0xdda0d324, 0xbb52ee71, 0xd5ba5fa1,
+    0x5c4e843e, 0x7a2ab9f3, 0x46d9ea65, 0xf04cb047, 0x5bc311be, 0xd500190d, 0x4866d7ca, 0xba0bac95,
+    0xbcaf2883, 0xa21d727a, 0x5f2cfea8, 0xc3280fcc, 0x8b50fcb1, 0xaf142b4c, 0x358204a4, 0xe92b78bb,
+    0x7ff9a655, 0xc205f0c2, 0xa776b3cf, 0xc74d53da, 0x193586af, 0x67931494, 0xe1046765, 0x7d92e25d,
+    0xe4a90a37, 0xfb9fa266, 0x195ef6b4, 0x16704bf3, 0x561a1aa4, 0xddbace50, 0x09f39232, 0x46af8eb0,
+    0x1528bbed, 0xc30130d7, 0x2cc82eed, 0xc390dd2f, 0x9bfeac63, 0x8a71947c, 0x210b2fe7, 0x0c5fed56,
+    0x2797c6d8, 0x6748643c, 0xb8867d09, 0x235e2ed8, 0x5766e0b4, 0x6989a71f, 0xc70c4e36, 0xad7cb851,
+    0x386f40b5, 0xcca94ad8, 0x72124e3f, 0x498691b2, 0xeb502a0d, 0xcc8fbe3c, 0xaf259c39, 0x05262609,
+    0xf9288cf8, 0xa43bb1fd, 0x21da595e, 0x71803aa7, 0x30d91e92, 0xee02621b, 0xf825dc0b, 0x20ba0fa8,
+    0x90601f1a, 0x1155d1cd, 0x9deb3127, 0x8459538b, 0xdc7952af, 0xf2d4a3ce, 0x505b5afd, 0x821f718f,
+    0x89a162cf, 0x5857f56b, 0x07485012, 0x9ec87314, 0xd0eb4772, 0x2ab5c748, 0x6d506e44, 0x9a6405da,
+    0x6c586c8d, 0x2b491505, 0x00995bf3, 0x3dfb812e, 0x901d3b83, 0xb6ef90f8, 0x443be2d6, 0xeb07e10e,
+    0xdfa2126c, 0x1a95029a, 0xe8948a9f, 0x2cc35728, 0xf2d0c450, 0xd8ea8aa2, 0x7c214a96, 0x297f26a2,
+    0x2d306ba2, 0xda19abde, 0xb8a172fe, 0x2a215b92, 0x1d50f163, 0xe6b022cf, 0xbc67d9a3, 0xae58f4d5,
+    0xe43dc19b, 0xd515085a, 0xc63b3c02, 0xb694bf24, 0xdae4b9b4, 0x387d53bf, 0x7567d626, 0xd4dc103f,
+    0x532031d7, 0x1ac72605, 0x042af15c, 0xe0e4229e, 0xd20a81f6, 0x1933ebac, 0x764a728c, 0x4b30c5c9,
+    0x3cc99432, 0xc58081c7, 0x6dc0bcc1, 0x1eee4b93, 0xaf0a59be, 0x25fb9e70, 0x13e60265, 0xdb928d5d,
+    0xefa18118, 0xa52ebbff, 0xf3378304, 0x0a2fb42e, 0x071ce153, 0x5b6bf4d0, 0x240ceca4, 0xd0fd65c0,
+    0x6df529a7, 0xc0579d51, 0x26d5a882, 0x9837abec, 0x6f3632de, 0x7bb64d62, 0x356c63d8, 0x828d80e5,
+    0x72b26830, 0x0f47b375, 0x0f49d1d6, 0x5be22bc4, 0xd567ccc1, 0x0a01b344, 0x921364b7, 0xedb4533c,
+    0x366baeb0, 0xcf8419ab, 0x7c6712bb, 0x0a37b6f5, 0x6710dcb5, 0xe60481fb, 0x75fd200d, 0xd56fc9e0,
+    0x4e7fcc28, 0xee6d1854, 0x7d2480f9, 0x4c428686, 0xbdde5766, 0xe4b4edf2, 0x4253312d, 0xba60cdb8,
+    0x59a0dcdb, 0xaf8112e3, 0x3a0803c5, 0xe93aa4a0, 0x47def18f, 0xe0ce08c3, 0x2c36ff5c, 0xef964359,
+    0xddad4af9, 0x89218a81, 0x5c9fb9c1, 0x508696f0, 0x2d0938ac, 0x0e452d8f, 0x88aed099, 0x7511e309,
+    0xc54b5822, 0xc3b4e686, 0xdbfd699d, 0x3b2666a8, 0x2eb3829a, 0xf8fd6b5d, 0x1fc79264, 0x7eea1a39,
+    0x37230bcd, 0x384dc412, 0xa650b665, 0x7e8f314f, 0x58ff9bf4, 0x4d3566b0, 0x3d4cbe69, 0xa8fe493f,
+    0xeeba3026, 0x580a61d1, 0x94859d0a, 0x1a274e23, 0x9cb97473, 0x74656da3, 0xb3694d57, 0xde93d066,
+    0xf0e752d5, 0xcdda27a4, 0x6a7c5197, 0x76258876, 0x950d1303, 0xed17bd4a, 0xf234478e, 0x795d70cd,
+    0x0ebcf5b4, 0x94479103, 0xf8d1fe44, 0xec9eaa2e, 0x359a7928, 0x22f23962, 0xc3f17224, 0x8d102593,
+    0x91cc96d2, 0xb14fc297, 0x6c14daba, 0x2d0b42af, 0xac756e13, 0xb639275a, 0xc95ad19e, 0x64b99ff1,
+    0x0d4bd797, 0x7a8c0543, 0xaa63db1b, 0x84a011d3, 0x0d604cf7, 0xd344a861, 0x051435be, 0x89544f11,
+    0x95bcda58, 0x80760c7c, 0x57158497, 0xcd5cf88e, 0x63fe9fda, 0x82c13d15, 0x640a9027, 0x2d16ac5e,
+    0x07a26a95, 0x1230153d, 0x9f554814, 0x87ab74b3, 0x81401371, 0xa3bf483b, 0x0821868c, 0xc845d13e,
+    0x0ece33d1, 0x4b875a9a, 0x99fb71c4, 0x8c999909, 0x066e6265, 0x4e26715b, 0x50e86416, 0x2c6cbe30,
+    0x46978d5d, 0x60c5d3e7, 0xae8eb4c9, 0xd7df5879, 0x671d4d96, 0x9a514092, 0x97a184db, 0xb3fc53ba,
+    0x64611379, 0x7cf3b9e1, 0xc2500577, 0x0d5d0959, 0xf4586851, 0xcd800ebc, 0x418cda56, 0x41798d1f,
+    0x53826f08, 0x6053ea0c, 0x2056fd1d, 0x3885043a, 0xdb68f8aa, 0xb88b26f7, 0x82e88d62, 0x5ded3ed6,
+    0x73ac4d38, 0x48738384, 0x922cc90a, 0x6e3e18fa, 0x856de1f6, 0xf7fbdc0c, 0xf30f40cd, 0x7bdf2ac6,
+    0x89cc977b, 0x13dc5ad5, 0xea6f4f48, 0x1b19b431, 0x609f3c9b, 0x54129410, 0xc4113030, 0xe821a110,
+    0xc1e7f628, 0x4d80251d, 0x685c3a21, 0x10d2548a, 0x506697b8, 0x97dce744, 0x8e0f89aa, 0xba891451,
+    0x6399f756, 0x2c95f806, 0x8b0daa62, 0x23487f04, 0x4168af7c, 0xadae368c, 0x7488ca3b, 0xa1f78b9c,
+    0x17994fd3, 0x1879bad6, 0x47ad1140, 0x160752d2, 0x7883e05b, 0x463a9d28, 0xfc887928, 0x9524e361,
+    0x52063319, 0xa9a0fac6, 0xee04de86, 0x8eacf064, 0x18206a6e, 0xff84748e, 0x8d2bd5f9, 0xab83cd12,
+    0x359acf6c, 0xd1841361, 0xef2fc40a, 0x8805aa8f, 0x550fd24a, 0x5b3cc969, 0xc595680f, 0xc1315a35,
+    0xa6bdc20b, 0xbea832dc, 0x253c90fe, 0x5c64214d, 0x778ddfda, 0x672be513, 0x214a109c, 0x29c72947,
+    0xb12c4af0, 0x12a33659, 0x1e404b05, 0x14ac3d60, 0xb3f681b5, 0xadfef705, 0xc6420472, 0x437cafe2,
+    0x08dea847, 0xdd53c67a, 0xf8116341, 0xf57e2c38, 0xc83ca504, 0x086bd136, 0x5ec4272d, 0x75ce53ff,
+    0xd1e9f67e, 0x90f4d992, 0xb34d0e23, 0x3e1680dd, 0x33266e29, 0xc0b7f7fe, 0xce102ac2, 0x3d28d356,
+    0x65ea1833, 0xab423d1f, 0x6e9f4d15, 0x40c8e5a8, 0xb4949475, 0x6ea1d791, 0x0a71d8d6, 0x2e20aad9,
+    0x5802c128, 0xb5c0dd9d, 0xd4af99d1, 0x28d0db4b, 0x2094e327, 0x1740475b, 0x552d65e5, 0x35048e93,
+    0xbf811659, 0x5c25f775, 0xfcef6867, 0x73dc4609, 0xca6758bd, 0x16551765, 0x9743cd77, 0xfee51012,
+    0x727f09f6, 0x6f53a4d8, 0xf6c4d7bb, 0x52b256e2, 0xfc1bd861, 0x572f2054, 0x406b391e, 0x53facbab,
+    0xef6e3a02, 0xab2eabaa, 0x7236c9a1, 0x63c7b11f, 0x80ed275b, 0xc6228798, 0x2438d465, 0x1f110d37,
+    0x31373523, 0xdda5899d, 0xf05c5c42, 0xd1025688, 0x3a7974e1, 0x464c8ecf, 0x5a9ee443, 0x2de7259b,
+    0x46686d29, 0x0e80fa8d, 0x95eb5c65, 0xb467fe54, 0x61549b1c, 0xc3f591de, 0xb09d67c9, 0x3799db56,
+    0x5d288d45, 0xf35e3c52, 0xd3cf2485, 0xaa92c1a9, 0x500317e3, 0x5392872f, 0x9d52b588, 0x71afb7c4,
+    0x433b01ab, 0x0d85f8b6, 0xacc206f1, 0x9165e1dc, 0x7b9e9132, 0x24db1edc, 0xe2085b54, 0x4c0e6ad2,
+    0x06cd06ca, 0x610755b8, 0xf2f09d74, 0x7fc161b3, 0x362bff3e, 0x7897947b, 0x9800165e, 0x0bedca14,
+    0xbb08c874, 0xe9086f09, 0x733c190b, 0x3141854a, 0x522dfa06, 0x08114843, 0x28cda4ce, 0x087b5f69,
+    0x728c5b4a, 0xfb260899, 0xa73acfc4, 0x5d123c9e, 0xc85a7f9e, 0x8dddf642, 0x86f92797, 0x6bc96606,
+    0xc8bbd584, 0x6b9aee96, 0x4f149034, 0xa72ca72e, 0x82946ad3, 0xfe7a473a, 0xc86ef66d, 0x2a6cc4bc,
+    0xe56fad4a, 0xc5d4f518, 0xd6068444, 0xc2bf7b1a, 0x09d40d5c, 0xef95497a, 0xc02fe5fe, 0xd163b3b6,
+    0x9d3ba8e8, 0xc6c77060, 0xf9fa2cad, 0x74a3dc1d, 0x6336512d, 0xbe87d8ee, 0x13c82e7e, 0xc7070a51,
+    0xfa8062d2, 0x588b03db, 0x1dc8f1b9, 0xd3ccc3dd, 0xdd1d89ee, 0xba6b37cf, 0x553974b6, 0x69f58249,
+    0x564893a9, 0x029d3f56, 0xc602e007, 0xec8b7521, 0xaf93ac57, 0x38ca9542, 0xde8fae4c, 0x62c5c84d,
+    0x34777d2b, 0xd58482d2, 0x11f3e733, 0xee6477cf, 0xe1656430, 0x8bb797f0, 0xcf11a016, 0xc4cdf2ad,
+    0xdbf37978, 0xae08bb04, 0xa2d507f5, 0x57dfadeb, 0xa2d023c1, 0x92860855, 0xa9062223, 0xe8540347,
+    0xb6e581a1, 0x9f06796d, 0x55797712, 0xc309e9fb, 0xb83b4f9e, 0x2fa580d3, 0xb26bea89, 0x0f849aea,
+    0x39fc2457, 0xb89defaf, 0x72f3f40e, 0xabc6a971, 0xf9b3e0e6, 0xe2a30155, 0x735d9751, 0x94e2f86e,
+    0xab0868f3, 0x2045e642, 0xfe1a8513, 0x375a4074, 0x8e6d1b50, 0x02107a77, 0x593d574f, 0x1142c00b,
+    0x0a48dc38, 0x8a4195ab, 0x788afaba, 0x8338bb83, 0x4033e57f, 0x4eb8f9e2, 0x09c14bf9, 0x66696a78,
+    0xdb8de46c, 0x852056cd, 0xfab7c187, 0x0f18e784, 0xbd21c373, 0xa2e06549, 0xfd65d1b6, 0xda39616d,
+    0xec448de5, 0xcf79189c, 0x925a9fdf, 0x0b539169, 0x408adc5c, 0xfd650cec, 0xea6ff919, 0xf9c559ad,
+    0x05711d4b, 0x87cfa842, 0xe433545e, 0x7faf3d45, 0x8ad21a73, 0xdb468a3b, 0xdc1a973d, 0xdfcd493e,
+    0xe5d44c4c, 0x4e493f9e, 0x0ab02e53, 0xb752df08, 0x79d7add2, 0x9c4f9898, 0x4ff24b2c, 0x4ab5c2ee,
+    0xf33ca7e2, 0x2f9738dd, 0x4e841901, 0xfe0eb1bd, 0xdf01ec59, 0xf69f8fb8, 0x4df5a84a, 0xe60a8e67,
+    0xc4f7c883, 0xbf31bce1, 0xa808c834, 0x94a94bae, 0xa20b2f62, 0x3f53f3f7, 0x2c738b14, 0x03a300a4,
+    0x1dac136c, 0x40c679d6, 0x268538c1, 0x8a7c66e0, 0xe63faf31, 0x7438b0e0, 0x8560c528, 0xb009bd83,
+    0x2588d1ad, 0x095b02b9, 0x52f6c3ec, 0xbaebe5c0, 0x96f808e6, 0x028c3b97, 0x23d78115, 0x0128ab9e,
+    0xef8a02cf, 0x54d0b992, 0xdac4052c, 0x56616782, 0x9dc00e07, 0x058be785, 0x60770541, 0x769f3a64,
+    0x776f4c8b, 0xb31d931c, 0x2bd5dfb5, 0x23ccc4c1, 0x4ffc266b, 0x7d244ada, 0x810b25ce, 0x19ddba8e,
+    0xc1d63654, 0x45957e3e, 0x2a6276f1, 0x55c622c6, 0x7eaf945c, 0x5afe4f8b, 0x1492c917, 0xdb0d02c9,
+    0x763b8fb1, 0xea80fa9a, 0x097958e4, 0x30139714, 0x3997d5ea, 0xc032c57b, 0x577043e4, 0x4cf0bb93,
+    0xd7105991, 0xc0425a43, 0x7df74249, 0xac8b53bb, 0xf595978a, 0x392cc503, 0x8bb51038, 0x966e7706,
+    0x75e50b51, 0x180ef859, 0x8747bdf5, 0xae93826d, 0xc642c7be, 0xeb79c4e8, 0x512e8c6c, 0xfd684b41,
+    0x09b58b3e, 0x301afdaf, 0x38323483, 0xa9f995bb, 0xff98d3cb, 0x38c4ce40, 0x5179a8f3, 0x9857f3d6,
+    0x9ebb4d4f, 0xbe70e678, 0xed9fa991, 0xac9b20db, 0xaba75b0b, 0x8315abd9, 0x981f5a7b, 0x8d5f6212,
+    0x00000000,
+    0x0900b24f, 0x7501b6d4, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000001298074214633706907132624082305024 */
+  { 0x00000000,
+    0x08f691f4, 0x1d1f56b8, 0x56492581, 0x92aad246, 0xe0e4224f, 0x62cace3d, 0x7423903e, 0x092c0750,
+    0x44676e1b, 0xdb827f89, 0xaa46abf8, 0x46985fd8, 0xbc2b21c3, 0x4894dd35, 0x78f50072, 0xecf04f31,
+    0x42c52264, 0xbe2d77df, 0xe43afc2f, 0x55320052, 0x44047a49, 0x849e0f0a, 0x81285291, 0xcdba4ff0,
+    0xae3855c7, 0xdcca81c1, 0x69ad4c40, 0xb69c264e, 0xc5bba78a, 0x842dcec5, 0xfd9b75ad, 0x12299b43,
+    0x604c6995, 0x33b9eb49, 0xee1a8083, 0x20a3e7ee, 0xc78b1c84, 0xa6cc40fb, 0x10f6cf0c, 0x4001441f,
+    0xef4f5bf1, 0x52fcb626, 0x66a9774c, 0xc4f36f87, 0x2f00e6e8, 0xb97da6a6, 0x5d22d8f2, 0x6003d36c,
+    0xe4e68873, 0x9f909204, 0x57b86ff9, 0xc1959d4d, 0x1cc61244, 0xc4d72301, 0x4cfaf286, 0x5bef9249,
+    0x5a920581, 0x735f27b4, 0xc43c43ae, 0xa4c3c78d, 0xb1649dfa, 0x4e028024, 0x0c1d45a0, 0xc494c491,
+    0x6cb1d613, 0x7b076779, 0x50c64063, 0x8a948803, 0x39800901, 0x0abab5b5, 0xad15cbff, 0xededd080,
+    0xb979cce2, 0xf77ab2b6, 0xb6861e6f, 0x1b3a7ccb, 0x536c9e70, 0x0aba0497, 0x597bafae, 0x8c171fd6,
+    0x765eaf89, 0xf800a874, 0x61d4ae8a, 0xbc61ca59, 0xa8cffe7a, 0xde7a6447, 0x1e48ee0a, 0x1dcded32,
+    0x21a05005, 0xd23def30, 0xb9a47038, 0x4aaf7979, 0x3c7f5418, 0xebdda66d, 0x13a4c78e, 0xae086b03,
+    0xb2091d06, 0xbb6bcc17, 0xabc744f0, 0x12c7524f, 0x2f0a6fdb, 0x2e9780f9, 0x08fa3fa4, 0x45f7ba5e,
+    0xd5acb2ba, 0x0cb81c04, 0xd4dd1d18, 0xfb8dafef, 0x9b45e702, 0x31261b0d, 0x9ee3ca86, 0xbb10fb1f,
+    0x5e3d4110, 0x571c6971, 0x0992e7f2, 0x82645863, 0xb66bc2a9, 0x94e0b224, 0x05b94d45, 0x81242da9,
+    0x31bb5697, 0x209f1022, 0x1b33e0a0, 0xe5c7285b, 0xf617c3c2, 0x27444811, 0x3ec9b863, 0xbafbf5fe,
+    0x67daf54c, 0xa6da6319, 0xeca3ef74, 0x297a02bc, 0xabfa3b67, 0xb09b426c, 0x49ef19c7, 0x31ef315d,
+    0xf754022b, 0xe16db72d, 0xa8093a68, 0xcb276a68, 0x9c75fee3, 0xb7ca732a, 0xc48cfd39, 0x13ce110a,
+    0x87502312, 0xad7f0d1b, 0xcce5f4ec, 0x830f326d, 0x0485f5c8, 0x08e3dd6e, 0x2919ff79, 0xeb615908,
+    0x8a35c934, 0xe4f3e822, 0xb514cdd3, 0x13b8271e, 0xab728a78, 0x4b7ec5cc, 0x4b9b8bd3, 0x7b2bf920,
+    0xddeb381c, 0x0d18a189, 0xdf02c0a7, 0x56a5e12f, 0x7eff49d2, 0x7f12a233, 0x5f846697, 0x0102409f,
+    0x69449edf, 0x4700c7b0, 0x25f5ce49, 0x80179828, 0x481c9817, 0x2c195b45, 0xd7a74965, 0x1e0a956b,
+    0x01b8b084, 0xe0ac76c9, 0x5f6fe14d, 0x98ec32d1, 0x2eba81e1, 0x28bad58b, 0x097e7e6a, 0x639c688a,
+    0xcf9add23, 0x04673904, 0xb19b4ad9, 0xe059fc97, 0x1d165106, 0x7af85b26, 0xf76b2e01, 0x08359e8f,
+    0x6ab37ca1, 0xe6661341, 0x0d883217, 0x9dfbd2e4, 0xb8eae13c, 0x5a19643a, 0xe9f915a2, 0x76aee4f6,
+    0x93fe2210, 0xc2096388, 0xf6606672, 0x6376aa8c, 0x887c3728, 0xe3f840a1, 0x8d713eb6, 0xae4c9a77,
+    0x0f01bf25, 0x8b1a55fc, 0x756de4f3, 0x9bfe5f87, 0xe26a6e77, 0xf7f07807, 0xa6bcafe4, 0xd0803122,
+    0x4f74df8b, 0x200dec5b, 0xfc035748, 0x6bd06078, 0xce526212, 0xf97fbe13, 0x9e26feb3, 0xf2fe98fc,
+    0xfea3d9c9, 0x96819f2d, 0x24a105d9, 0x8b5b8ce8, 0xe09e8bcb, 0xe37d7654, 0xbcfd0e5b, 0x438d14b9,
+    0xf82d37b3, 0x8bf3b69e, 0x6bb25580, 0x1f8267fb, 0x26b62ed1, 0x1fd35a75, 0x05704f8d, 0x2107c0c1,
+    0x68b405e1, 0x10d42c28, 0xe8092b3d, 0xfacc99db, 0x98b1b24a, 0xe959d211, 0x3ef2a6a9, 0x5c8481bf,
+    0xe70230c6, 0x3f5ced81, 0xb3661ef2, 0x5e521548, 0x5e6ce3c3, 0x92593415, 0x9108ed90, 0xdf315c0c,
+    0xba5197d4, 0xe51c6c76, 0x24e0cebc, 0x702f07f5, 0x71a374b1, 0xf7faeb6f, 0xb918d4b6, 0x7f1b5b44,
+    0x4ed31e02, 0xb63fde4d, 0xd3a024a0, 0x709e5dd1, 0x1f435ca0, 0x2b95d024, 0xd8b3cdcd, 0x0201aaa2,
+    0xd4fcf8fb, 0xecab5c64, 0x3ee75f02, 0x89785414, 0xddf1269f, 0x3192914d, 0x31606f22, 0x3959811a,
+    0x989bfa53, 0x138406d7, 0xd6362062, 0x75c0fe9b, 0x3a1f4592, 0x14acfce8, 0x33cd3d4f, 0x5e4af349,
+    0x37519bd5, 0xe5c40726, 0x4e9315cd, 0xacad88dc, 0xd185c5a7, 0x815a50a1, 0x049754f7, 0xdf911cc5,
+    0xa2db38a8, 0x0afe48e3, 0x07ff1e18, 0x67664e01, 0xcdd8e012, 0x6e7480c9, 0x1a356501, 0x5d562109,
+    0x53e75321, 0x8fed3593, 0x5d4cd9ad, 0x2c2c2ca0, 0x063deff7, 0x5bfcb6e9, 0x4752e826, 0xc24506b6,
+    0x19d98638, 0xe9d27995, 0x520a2260, 0xe7f32b42, 0x533284ab, 0x506f2c63, 0x9f61bd7e, 0x840e18e4,
+    0xed4e1a50, 0xdc96c8ec, 0xe65be1b1, 0xef383604, 0x37b67415, 0xc85013ee, 0x76f207f9, 0x4baaead7,
+    0x873b6cb6, 0x694b3c55, 0xaca0418e, 0x27a8d00e, 0xab16bd1e, 0x7530c59c, 0xaae31999, 0x5da3d4ea,
+    0x8f6c44ea, 0x8c09e713, 0x1d3fda6a, 0x3356b6e4, 0x02cc2055, 0x8ac11c93, 0xbda822b4, 0x814afb38,
+    0xff800f01, 0x650fea9c, 0x3e7cb9f0, 0xa15753b4, 0x05d2f2ae, 0x4077a49e, 0x9be85f8e, 0x376f17a0,
+    0x51e8c529, 0x4d2798dd, 0xadab420e, 0x1a0342f5, 0xb246b8c7, 0xb2037778, 0x1bc45602, 0x557c2436,
+    0x6f756090, 0xf4d33bf4, 0xdf685253, 0xc179a092, 0x8728635a, 0x3d6940a0, 0x134a46c3, 0xead543ac,
+    0x68c43cda, 0xbdd66744, 0xcbed27c4, 0x4686a9e5, 0x7b75e9f8, 0xe8a70e02, 0x97b6a481, 0x7b04b848,
+    0x6acaead0, 0x3ed56e97, 0x06c79586, 0x159e9259, 0xe5e987ca, 0x79c57ac4, 0xeb9fc5f9, 0x17f51fcb,
+    0xd0c5d40e, 0xc634b61c, 0x13e0e161, 0x020d0c4d, 0x095675cf, 0x91cd6504, 0x1e31fbf0, 0x373e7186,
+    0x29bcebdb, 0x430b4651, 0x1675200b, 0xe0265b1a, 0x50b77d33, 0x564795f2, 0x2580fb0c, 0x58799172,
+    0x0f9c269c, 0x3e4e345e, 0x1ec99c3c, 0x4762e267, 0x2ff84366, 0x7977b0c3, 0x831058a2, 0xc23722ac,
+    0xd8c3c547, 0xeae7c393, 0xecfa192c, 0x2dac59dc, 0xaf874d7a, 0xcea000f3, 0x70a17da0, 0x156e6142,
+    0xb31f5dd0, 0xfbd0a371, 0xcf56d3c4, 0xc624e8f8, 0x43391439, 0xfd4ea039, 0xe16b2c25, 0xdf7506f4,
+    0x97da93ac, 0x3bd041b9, 0x9c1d4e20, 0xb8a14782, 0x7d8677eb, 0xbf0b6885, 0x8bb23c69, 0xb16c32d8,
+    0x09b57ade, 0xf7381b94, 0x2e014e5e, 0x37fdfca1, 0xd24835ab, 0xe0fe908e, 0x477607f5, 0xee041193,
+    0xb985aedf, 0xc33e75ca, 0xb5664841, 0xf61903f0, 0x20d2d899, 0x484b614f, 0x4ddbd322, 0xd3bd4755,
+    0x85b02134, 0xc1a6e65c, 0x53d6e9bb, 0x58d72d09, 0xe02e8b27, 0x402a7886, 0x908c3c66, 0x54ecb32e,
+    0xb4d11048, 0xaf8b0fec, 0x6d0ed415, 0xb653071d, 0x3af92e45, 0xe7a5d60b, 0xb45b9a5f, 0xcd937479,
+    0x611be0a3, 0xa228778b, 0x165866ee, 0xb9e43238, 0xd364d54b, 0x536f4c11, 0xce11f08c, 0x34165a8b,
+    0x0bd0aa3d, 0x933f9a49, 0x99ecf7c7, 0xff88d107, 0x82b60791, 0x52ebb217, 0x78a10031, 0x43158b1e,
+    0xe6b4cd0a, 0xd461497e, 0x44e8634c, 0xe3fad5f5, 0xa01e3385, 0x17c08abb, 0xa86d39a1, 0xfd5ae5f2,
+    0xaa154c49, 0x97b42067, 0x6301ca0c, 0x8c4b0c84, 0x9acc394e, 0xc805961a, 0xfbb2d79d, 0xa4c9e5b1,
+    0xf3394c2d, 0x8e32996c, 0xeaf930f1, 0x5824ed31, 0x290f63ed, 0x441b58be, 0xb90a6d7f, 0x1a4e6348,
+    0x846957b4, 0xfb3ed014, 0x0f0d05b3, 0xa2445b32, 0x95471a96, 0xa8dcdbb8, 0x8a2b2413, 0x318219c9,
+    0xcc9c3802, 0x416b798c, 0x2050656b, 0xf51cbb83, 0x8da3651f, 0x7c89d9be, 0xb692de8a, 0xa32e67cb,
+    0x66b7fe6b, 0xd36a52dd, 0x9c521bd8, 0xb59cab2c, 0x9bae524c, 0x439c626c, 0x9f10308a, 0xa1ee7901,
+    0xada7dce5, 0xf8a7e48b, 0xe821d7c3, 0xa2302220, 0xa1fb2518, 0x2dfb21db, 0x8a4e25c7, 0x13490f68,
+    0x37abf8c1, 0x90d55bfa, 0x6dc56f79, 0x361f86a1, 0xff32d06e, 0x18bcb41f, 0xd9690248, 0x5104544f,
+    0xcb28f111, 0x7ee061c4, 0x80aa7197, 0xdfde7c14, 0xf999adbf, 0x0e598bbd, 0x3c8f08ce, 0x4e8e160c,
+    0xcc69bac3, 0x849d1032, 0x415c6e14, 0xd13c84e2, 0x58c4d706, 0x69105ccd, 0xf0b95f9f, 0x726b4f0b,
+    0x81d10dbe, 0x43198e0f, 0xeadb7f15, 0xcbb4e7fa, 0xa8fd1bb1, 0xb5a84e68, 0x64b5f635, 0x60a79c7b,
+    0xdadec4ef, 0x8330e2cb, 0x76d1afdd, 0xd27dc39f, 0xbe2f5826, 0xd08a9e82, 0xc829a196, 0xec6ba91d,
+    0x48564f3d, 0x6353cbbe, 0xa3ae8347, 0xbaa00f9e, 0x4c962454, 0x84c6ad14, 0x6046d868, 0x129ab6ab,
+    0xf9814ca6, 0x962d671c, 0xbe20df73, 0x2489b3cc, 0x4723d25a, 0x6a0fcf9a, 0x7745c263, 0x37a68136,
+    0x3da2c548, 0xcf00e787, 0x3dd5cb7c, 0x4982ab97, 0x3114edf4, 0xc4b2d2d0, 0xa1b82b4a, 0x4332db2a,
+    0x88ffe3a3, 0xd5252a19, 0x97bcbc81, 0x75f25b60, 0xf1641005, 0xb974c6ad, 0x64473978, 0xd871e3de,
+    0x6ac453b0, 0xbb46e536, 0x08f24f51, 0x922fb0b8, 0xea837cef, 0xf8359bfc, 0x3e4dac02, 0xdf494df5,
+    0x875f4189, 0x893209f6, 0x7cffea7f, 0xf6cdc64f, 0x1f63cfc4, 0x31e0ed37, 0xf66c06a3, 0x36909142,
+    0x4dca93ff, 0x9fb43a1f, 0x858db538, 0x085945eb, 0xb94d32aa, 0x3a9d11f3, 0x6c16e43e, 0x03d11932,
+    0x7e001e32, 0x0e4b21e0, 0xa0ffcced, 0x8264bc29, 0x3fb12d0a, 0x000e6df1, 0x325749fa, 0x2cfe5c53,
+    0xab0ac5b9, 0x87e2cf0d, 0x0d52bf20, 0x6c94d6e7, 0xb92e72f7, 0x00200d1e, 0x54bb27ef, 0xdd980e08,
+    0xc368ae09, 0x1a9561a3, 0x6aef1969, 0x72632c9b, 0x410b0407, 0x8a98ea73, 0x26cf8dc7, 0x4092c632,
+    0x5dd349fe, 0xf6b4c56a, 0x733d21e2, 0xe545664f, 0xe940e6a5, 0x8d07ab75, 0x533566ae, 0x5fce0cb0,
+    0xe9451f2d, 0xcf373683, 0x5441d642, 0xac7838f8, 0x5b1360bb, 0x0cfb545f, 0x4628d66d, 0xfc15a6b2,
+    0x225992d3, 0x2cb2ab42, 0x57f81bc7, 0x12f9e0dd, 0x8b52adbf, 0xaece8920, 0x6c41070a, 0xcd94dcc8,
+    0xe10161eb, 0x1c9ea310, 0x50ec679f, 0x3fb91153, 0x2c894b0b, 0x35b319ed, 0xcf51312f, 0x76d10a23,
+    0x3358acc2, 0x3c7fe46b, 0xcc6cb0a0, 0x67df7606, 0x74f0f51b, 0x5230d01f, 0x6a1378e2, 0x4985c5f5,
+    0x699ea61b, 0xc00df643, 0x8b72382f, 0x114ea3f9, 0x0a4db8fc, 0xc125b266, 0x927211fa, 0x70175e40,
+    0x189ea5c7, 0x61eb702e, 0xd45de42f, 0xe4e83760, 0x2dd9dc3e, 0x37ccb07f, 0x99a86314, 0xea3e8807,
+    0xbd343e6b, 0x23a311e6, 0x4a1e4fe3, 0x607ea68c, 0x4a12075d, 0xf1a8fae8, 0x6d2cf5ba, 0x847ce7d6,
+    0x31f60e88, 0xa57ce523, 0x2dd92e80, 0xabcb9c1e, 0x9c8ad5b0, 0x7f6cd6d3, 0x59cdd9d2, 0x35b6085a,
+    0x6760bdf5, 0x947b936e, 0x12cc7f31, 0x60c779ee, 0x0d14f024, 0x937c34a9, 0x15bcc0e6, 0x060767d9,
+    0xafb46cb4, 0x1d01f3e2, 0x8df8d8bb, 0x8935ecdd, 0xf88b766c, 0xeda3d3b5, 0x2cd20105, 0xb0d43c19,
+    0xc136e653, 0xcb02e7c4, 0x11ca9b60, 0xad526e98, 0x0936e72d, 0x923c201a, 0x47ef46a8, 0x3450427c,
+    0x34ff44f3, 0x7e75ea77, 0xed660467, 0x631bfe75, 0x7d5d0331, 0xffef1837, 0xa082c42b, 0x35c8fe70,
+    0xc96e2224, 0x243a7b67, 0xfdb2c9f0, 0xf22fd78d, 0x6f73faa8, 0x3b8bc824, 0x890ffe1f, 0xfe98ecf7,
+    0x57227cf0, 0x4eb42cd3, 0xe4bef8d4, 0x4c8c1b76, 0x714deb4a, 0xc492f006, 0x06785696, 0xb5ead183,
+    0x3d7bc14f, 0x46c7795c, 0x86a05029, 0xf5fc58c5, 0x9d9cbbcb, 0x134482e2, 0x87e8533e, 0x9896e0bc,
+    0xe6ddf1d0, 0xfbe9b720, 0xc7b5b6f0, 0xcb76b7bf, 0x2aa839a5, 0x310238b4, 0xe3be4a7c, 0xbec36e9e,
+    0x18e7efca, 0xe6f4d2cb, 0xc334b0a8, 0xc855bb04, 0x0417f0f2, 0xc5a70fb6, 0x4878c73b, 0x9bb0eb2f,
+    0xb278162a, 0x1de84801, 0x59e00c1c, 0xf9ecbd91, 0x541ae9f3, 0x88ef2511, 0x7056bc6a, 0x0ea1f1f1,
+    0x62caa478, 0x272982fd, 0xe0d5e781, 0xef6fac85, 0x46eb910d, 0xd88488fe, 0x13adddb4, 0x70b0e157,
+    0x33da6ca2, 0x7621c51d, 0x7de3cab6, 0x8ee6ee31, 0xd6f88bf5, 0x0ff0b9e5, 0x69a5cf66, 0x7f5a236b,
+    0x7dcb7c04, 0xbd4cb365, 0x458f0c82, 0x9fd26606, 0x952fa173, 0x133f01b4, 0x75b42a1a, 0x1507ffae,
+    0xe17e9770, 0xab5a5361, 0x34d4c196, 0xed023730, 0x97853c10, 0x0038f1f3, 0x4d5725e0, 0x1d2d65c9,
+    0x0a04cd1a, 0x2d86a4a4, 0xece652d2, 0x2752adca, 0xb8f3d8ac, 0xe3d0ce70, 0xc6384477, 0x8bf5deb1,
+    0xa358f5f3, 0xcbafec65, 0x487223d0, 0xd5eb0f6f, 0xbadb226e, 0x089bc775, 0xb2fe336c, 0x9da5ca8e,
+    0x5255f51c, 0x83b4d63b, 0xc0c17ac6, 0x8c181bf8, 0xc2481193, 0x3730cb9f, 0xf834d20e, 0xee8fdf70,
+    0xf933be5c, 0x7de84977, 0x48c3929e, 0x7429a8b0, 0xfb1c17a9, 0x8f3f7fb2, 0x626dcc6d, 0x7d000736,
+    0xf26db10c, 0x8a6ad012, 0x6afdfa76, 0x20ac8060, 0x3d0f5c06, 0xf75c14cc, 0xf06ff4ec, 0x9d84bc68,
+    0x683871dd, 0x4fb74048, 0x8813ea8c, 0xf88e1b63, 0x303d6eed, 0x37812c49, 0x066ea39a, 0x358c2a74,
+    0xc7a775e5, 0x69888015, 0x8b674f69, 0x746ef525, 0xc1308ccb, 0x6b7ca03c, 0x8d2fd242, 0x7ddf1dd2,
+    0xad37cf3d, 0x0ece2dee, 0x569da8e2, 0x327c0ca1, 0xf98f6a6c, 0x51d9b24f, 0xc4823450, 0x10c5760b,
+    0x560bfbbb, 0x5e1a4014, 0xef0fd401, 0x40f03f04, 0xdaa7ad9e, 0xa8e26988, 0xf1ef0bfa, 0xd0e6fe79,
+    0xcfccd92b, 0xd7b1ed2f, 0xce20605b, 0xe7ae2df4, 0x0cada253, 0x842a56c1, 0x601d2362, 0xbd215060,
+    0xb990dc28, 0x2becd90a, 0xb510ae96, 0x8ee06dc0, 0xa9999e1a, 0x888fbfda, 0xfd2ba9bc, 0xc4880e59,
+    0x8e89b7fb, 0x01cdda62, 0xaa3ae5f4, 0xa84f21b0, 0x666fdd1f, 0xed122b8c, 0xedaeb260, 0xa01a0582,
+    0x9210655f, 0x230af348, 0x47db8e17, 0xc693423d, 0x2d69edb1, 0xbc130d80, 0x8e3892d9, 0x46756524,
+    0xe7f1bf67, 0x76ed24d4, 0xe41aac8b, 0x1e93932f, 0x639e829c, 0x2623e5f0, 0x636ed562, 0x713fd792,
+    0x7a3c2cc0, 0xf78a28d8, 0x101ab6ed, 0x6a2709fa, 0xb02e8a23, 0xc0259b4e, 0xc5a92987, 0x8392f787,
+    0x3f13dc7f, 0xa9ab437c, 0x65aac366, 0x7533176f, 0x1f8ce018, 0x1e2b61fd, 0x91826765, 0x6e878631,
+    0xd63a51e7, 0xc48f56a0, 0x76d6331c, 0x9ad39a52, 0x73280208, 0xc9d9ea7a, 0xafe65267, 0x42628ab8,
+    0x5da24e41, 0x363c10eb, 0x7d5ec575, 0xa8a06931, 0x2149866a, 0x632238ef, 0x5fac603e, 0x96d4b623,
+    0x2c383b93, 0x7b29ae58, 0x99eb25fa, 0x02bac934, 0xe303119f, 0xb1153eae, 0x24aa8158, 0xfe410695,
+    0x66448599, 0x1bd66e9d, 0x63ea4620, 0x60af8643, 0x650170ad, 0x1d3e37b8, 0x98338c08, 0xca480fd2,
+    0x23ec2acf, 0xda608734, 0xc0c3a7c0, 0x828862a2, 0x181bc493, 0x4989d267, 0x7c761306, 0x86852d9d,
+    0x00000000,
+    0x04805927, 0x3a80db6a, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000649037107316853453566312041152512 */
+  { 0x00000000,
+    0xb3dc2102, 0xdfff8db2, 0x0cd48a5c, 0x9ed4fefe, 0xb557a2e6, 0x5965bba4, 0x543b4bab, 0xa4dd7a9a,
+    0xff40a4f9, 0xa4a4ca63, 0xce947e2f, 0xf6e7a02a, 0x3860d03e, 0x7ecd3a1e, 0x7ef9e28c, 0xc2a59c21,
+    0x48f11e2d, 0x543bed2c, 0x59e24aa3, 0xa618110c, 0x276c2647, 0x347650c2, 0x6ed3bb11, 0x596d9eb1,
+    0x07726985, 0x4b30f91d, 0xc2b8921a, 0x66610953, 0x9e3a4415, 0x70f79a24, 0xec77c905, 0xf55e1697,
+    0x65a815e3, 0x3facf238, 0xf69d32fa, 0x2a68b4ae, 0xb2c3b644, 0x8dd47988, 0x652be928, 0x0babf020,
+    0xdaf29220, 0x637c8d8f, 0x948edb47, 0x531b8535, 0x015dd209, 0x9d429b30, 0x67854371, 0x46121f5e,
+    0x08bad08a, 0x01e8d789, 0x213d9a40, 0x34019ac2, 0x5f5a3731, 0x008b6010, 0x2bb35ec0, 0xe1788215,
+    0xbd5169d2, 0xdf992837, 0xca47ce86, 0x43b6bf9a, 0x320018c1, 0xe4d8d01f, 0xf1a58e68, 0x32068725,
+    0x2c913098, 0x8cb6f80b, 0x10d1355b, 0x00e9a99f, 0x942c5647, 0x6dd9f862, 0x9108776f, 0x1221f1c3,
+    0x75b8eb33, 0xe04b353e, 0xf30e2707, 0x21e1ae7a, 0x0ff099eb, 0x13a6e351, 0xee0c7895, 0xf2d6a6a3,
+    0x4ee12b7b, 0xa71087f9, 0x45524e54, 0x527cec0e, 0x5250124a, 0x8f2495a0, 0xee2ed640, 0xf6185ecd,
+    0x9e2ccd11, 0x0832e754, 0x1b9e3cc9, 0x1955a12b, 0x30d28c77, 0x00a03d61, 0x685abe0b, 0x5aa93026,
+    0xba72808f, 0xf23fc4a9, 0x42be9101, 0x5d9ab120, 0x53174370, 0xe77cad6f, 0x1024eabe, 0x5dd016a4,
+    0xcf7819fa, 0x54a62977, 0x7c5bfa2f, 0x930973b0, 0x2d0229f5, 0xd617571c, 0xc2eb04af, 0x56e84d80,
+    0x6e08d3f9, 0x319d27cd, 0xea576a84, 0x7715c584, 0x27053a4f, 0x4e0684d3, 0x08cde403, 0xb7625490,
+    0xf800dacf, 0xd441ce1a, 0x846dea90, 0x153424ca, 0xec464e65, 0x671ead00, 0xc923a71b, 0xdba68b03,
+    0xfd3a4d7f, 0x74fa92fe, 0x65009e9e, 0x875c3f7d, 0x50922f06, 0xf73a7512, 0x02e79c9d, 0x1ae26617,
+    0xbb590483, 0x5c3e5a2d, 0x426edd99, 0x3ccc01e1, 0x2ee251ae, 0x10363bea, 0xdf0f9672, 0x5f88e9bf,
+    0x8aa6d8b2, 0xee39d550, 0x95f40e85, 0xb7ee1a07, 0xaca07162, 0x66fd7b5e, 0x49f5b759, 0xeafefd13,
+    0xd0262f1d, 0x8b6ef911, 0x7944b777, 0xe6a0a8c3, 0xb0d2c8cd, 0xb2f04756, 0xe757fea5, 0x70a95d3e,
+    0x9fdefd06, 0x4d15dafc, 0xbb76650a, 0x97ef9c81, 0x80bbbeb8, 0x98beea7c, 0x67a634ba, 0xec6242e0,
+    0x2c62f61b, 0x7d8a8470, 0xdb2df723, 0x0c96186a, 0xd064add3, 0xb8a40be6, 0x408cbbb2, 0x5e1dbd0f,
+    0xab4737c2, 0x612e35f8, 0xaa0e817c, 0x877757ea, 0xf59c2c73, 0xd5bb0d33, 0xf91d5b41, 0xcb94d2bf,
+    0x6818f366, 0x989edeae, 0x0d8b7563, 0x7e898517, 0x0c1379ea, 0x80bc848c, 0x02bc1972, 0xaa54703e,
+    0x78d5788a, 0xde645a51, 0x3ccecbd7, 0xb2b4a6b8, 0xe19e2641, 0x1a591c94, 0x97cdc5ab, 0xda120aa7,
+    0xfe46f00c, 0x589c38eb, 0x9eaf8773, 0x949ef2d8, 0x50eab6fe, 0xe5b76e46, 0x4f59ee2f, 0x1c3973e3,
+    0x09f4d8ee, 0x5f23372f, 0xbb4a5265, 0xb1b90a2a, 0xb10008ac, 0xb1b1f535, 0xa5789a75, 0xdf808792,
+    0x64d1d2a0, 0xc7ce7565, 0x2673e5e5, 0x9b67a4a0, 0x230b5beb, 0xae27456f, 0x345dc57a, 0x29bf9bf4,
+    0x5c46f8f7, 0xa1a0257f, 0x5c58e2f4, 0x5dabb9f1, 0x4e498552, 0xfa93e76b, 0x880ad215, 0xf489b60e,
+    0x3fbe18b5, 0x8e329b1f, 0xd3db843b, 0xcd81eb8f, 0x932706d3, 0xaacf7476, 0x0298e2c0, 0x0c773991,
+    0xea4bbd9d, 0x1f8a3adf, 0xcbddf6f4, 0x6fc4bd59, 0xcd3ce639, 0x26cc05e7, 0x6b7b7651, 0x76c0cdd4,
+    0x7251ebfe, 0xb8941b8e, 0xbfb01f6e, 0x3d137d48, 0x9c82747a, 0x6ba13aba, 0x180418a2, 0x1b483fe3,
+    0x3624ce83, 0x9ae446db, 0x7d0ceea4, 0x7d001ada, 0xd4e20f34, 0x562f7c02, 0x1f0d4dba, 0xabf85603,
+    0x56267293, 0x7ed52cfe, 0x0660a857, 0xbe4b63ee, 0x01ec2520, 0xaefe6347, 0x14ef4576, 0x1aa34d54,
+    0x8e7c3271, 0x77e23173, 0xb7a9c603, 0x5c7c662f, 0x7dbcba10, 0x7c949fc7, 0xfafe76d5, 0x60b0f4b0,
+    0xfd1b9184, 0xf6db5ab9, 0xae68c067, 0x2db6de8b, 0xa24d2251, 0xbd99b85e, 0xccb1375c, 0x5db47800,
+    0x13f654c1, 0x1cecfbdf, 0x42f37918, 0xe85d4fca, 0x593ab37c, 0xd48d47c5, 0xae782ba5, 0x0d981cfe,
+    0x3e9f3279, 0x3d12aa85, 0x190392c8, 0x0dc2047e, 0xf85d9131, 0x54599a65, 0xce4d800c, 0x7cf27192,
+    0xc9dd2711, 0x8a284b4e, 0x2a8858db, 0xf98e5c00, 0x3becebe5, 0x1e2644b5, 0x518da337, 0xbf63e245,
+    0x12a40a35, 0xe2d4878a, 0xc6c946fe, 0xbb10c62a, 0xda1b13d0, 0x0c83a501, 0x8022d090, 0x2974ebc7,
+    0x363fd4e5, 0x852aa238, 0xfecfea91, 0xe975ae66, 0xd2a6aaa3, 0xbf828305, 0xd35415dd, 0x005da988,
+    0xf45a482a, 0x44904d2a, 0xe4688eb0, 0x6d872aa2, 0x5657e556, 0xf735db16, 0x6b395f2b, 0xb577d60e,
+    0xf107c73e, 0xc9c44714, 0xed1df4d2, 0x8023d9ee, 0xcd908b6b, 0xecd5a1df, 0x83e2ed02, 0x5f10d227,
+    0x1441282e, 0x448c612c, 0x95ccc649, 0x8dbdf9fc, 0x5d6400d0, 0xec2746ca, 0xba4e7b7c, 0xaef56b86,
+    0xcf999eb6, 0x7b97caf9, 0xcf51e0bd, 0x101e33fd, 0xaffd4fea, 0xc8aedb50, 0x15889707, 0xa3f4453d,
+    0xd0e763e7, 0x89e36c4c, 0xa4713de7, 0xc54167d1, 0x6e916bf5, 0xfb06c930, 0x0ba337da, 0xa43bbd03,
+    0xa9af1996, 0xa08edd06, 0x4a190ed2, 0xaaa94ef4, 0x119b7b67, 0x96f8cdc5, 0x4241c495, 0xa9b0f9da,
+    0x0f972c5f, 0x7ab63108, 0xbfb3b785, 0xf4156e2f, 0x36d567ff, 0xba10dd5a, 0x33b25225, 0xf5d739d2,
+    0x2c76f55b, 0xf84c4066, 0x19f1b5ca, 0x965b5579, 0x43f7aedb, 0xaee87e49, 0x049d55c6, 0x1562a2e4,
+    0x42c15471, 0xe17a5236, 0xbb04316c, 0x374d5d25, 0xce69bd16, 0xa9351ba4, 0x69f0749a, 0x8c2c0443,
+    0xc4373576, 0x5efb063a, 0xa5731964, 0xcb868ef8, 0x2a46c0e6, 0x6f32cda6, 0x3366a739, 0xaafd7bae,
+    0xba7bddfb, 0xebf343eb, 0xd9302d97, 0x62eeeee6, 0x34c8a91f, 0x246adcaf, 0x5720e8db, 0x1a86afe5,
+    0xb0374fe1, 0x7ce443fa, 0x62ad5d3f, 0x2ad4fd94, 0xad880b35, 0x1786f267, 0x49575c64, 0x68d9f819,
+    0x6e3ac66d, 0x06bd68fa, 0x5bf7a83f, 0x7edd8ab9, 0x0eb86cb9, 0x9e850cb7, 0x2d382d63, 0x73d2a052,
+    0x1ba349de, 0xb7e81f94, 0xcd58478d, 0xfd0c2a2a, 0xd78b4097, 0xae2fc7dd, 0x98968995, 0x103a5977,
+    0xc432e78e, 0x9d8ad554, 0x78989134, 0x57b95557, 0x781b0428, 0x501ff076, 0x73535e90, 0x6e030d2a,
+    0x5c8e0748, 0x7441d532, 0xcf8fa7e7, 0xe8b757af, 0x780ccd82, 0x4ef58398, 0x2cac61ca, 0x4b0e9080,
+    0x412c71b4, 0x1b661867, 0x09f89c4f, 0x79ad13c5, 0x65a7e372, 0xdfc18d49, 0xca59e938, 0x1622ef50,
+    0x812bc097, 0x703604a1, 0xddcd6cd3, 0x4cc17e62, 0x57ed5173, 0x10092915, 0x342cd872, 0xdcf48c5f,
+    0xdc5a8abb, 0xe5d56563, 0xf896402b, 0x1f0278da, 0x52f116e8, 0x74f066d1, 0x32989210, 0x988ac589,
+    0x65ecc8ec, 0x7de3ac8a, 0x214990a7, 0x9c5ef959, 0x4912057c, 0xdb03bda2, 0xaf0dd534, 0xaa09e57e,
+    0xde5ee2b4, 0x5a2158fc, 0x34043bb7, 0x89254c64, 0x6ec2f8ef, 0xf2369c52, 0xe7192f41, 0xac048822,
+    0x24e6decb, 0x3ec89de6, 0x355acb67, 0x17568bcf, 0xa32211e4, 0x1375b479, 0x18433bb2, 0x87a47069,
+    0x67160a3f, 0x92a739a7, 0x1f991b3d, 0x8e24b26d, 0x70b1ce53, 0x21688e0f, 0x094dfc25, 0xc5a97a79,
+    0x4525bb67, 0xc9d1230e, 0xdcd70165, 0x850cb736, 0xe4af0240, 0xd78b02f1, 0xe38b0c39, 0x7ff4c86f,
+    0x2bae2d32, 0x2223c46e, 0xaec29baa, 0xc4b3ed23, 0xb154ffb1, 0xa11d6b38, 0xa019d485, 0x88b53d33,
+    0x89fce300, 0xef33df5e, 0x96eb4b63, 0x5011ca43, 0xda6ce3c3, 0x4163a5d9, 0xa34c71b0, 0x9d2a620c,
+    0x0c5dd188, 0xbe1585e2, 0xc281664d, 0x6a2305af, 0xdccba39a, 0x4573262a, 0x913e140e, 0xb42deb27,
+    0x2c8566fa, 0xfc82adef, 0x67d3325a, 0x94875dec, 0x19523e85, 0x264e2e29, 0xa6ea4ede, 0x5e0b222e,
+    0x72cbd2ab, 0xde47be27, 0x52f1345d, 0xab6b5b5a, 0x08aee083, 0x2958f36b, 0x54c1bda2, 0xb04be194,
+    0xda652bce, 0x162fdae6, 0x9f88a15f, 0xd612b949, 0x7882256a, 0xdbaf14e4, 0x8791cfcb, 0x98560bd4,
+    0xb8398359, 0x1f892edf, 0xd6c70e3c, 0xefcc9865, 0xe120819b, 0x45bfab8c, 0x00d55290, 0xf3951923,
+    0xf2d590d5, 0xd9e1d64c, 0x79f7ae06, 0x3c77d1fe, 0x5112ee01, 0x744993bf, 0x8f01b2ea, 0x6bad9e1e,
+    0xb6b08542, 0x8c1a0fdb, 0xbf57859c, 0xfd325016, 0x3d0b0c97, 0x20a22b13, 0xa0291fc6, 0x6c591a57,
+    0x53e71250, 0x221c0d29, 0x38ef6495, 0xd9329229, 0xbf5cd46a, 0x4269d744, 0x17c483c1, 0x068c64d7,
+    0x4d51f8a8, 0xf51a1e45, 0xa4750420, 0xdb5ec45c, 0x97cf503e, 0x58f87c9b, 0x6fb675ac, 0x7d0afa2a,
+    0xf67313a8, 0x9f28cc44, 0x00d9ba8e, 0x048bbdbf, 0x167ab627, 0x5fefb432, 0x580b6299, 0x0b4a7782,
+    0xd11aad55, 0xcbc97cb7, 0x19168e68, 0xc3dab686, 0x5043ad0a, 0xc618e664, 0x1cbfebaf, 0x7cd20206,
+    0xb031f32d, 0xb48ae75a, 0xf4d90330, 0xc3801706, 0x46f5b832, 0x65379b69, 0xfcb68a78, 0xbf2dd21f,
+    0x66d530fd, 0x5ede4f6f, 0xc3e9f12e, 0x80e5c571, 0x0cb39ff4, 0xfe36a0c4, 0x7fda702f, 0xade76552,
+    0x0bb8ad18, 0x635449b3, 0x9a1681cb, 0xa183dc13, 0x49ae0779, 0x866ba5e2, 0x0c024693, 0xe9518068,
+    0x88889b14, 0xb2b31480, 0x62d76b1a, 0x7a69e941, 0x1d209490, 0x339981aa, 0x106ef734, 0x522da979,
+    0xa4db2ec3, 0x7eb279bd, 0x936b1e42, 0x023ad8d6, 0x3bd80ce9, 0x69defed0, 0xc42cca0a, 0x718f4390,
+    0xf0407553, 0x3ad0387d, 0x077adf2d, 0x607e43ca, 0xa40c3f7c, 0xf2d82d5b, 0x6c0190b9, 0x92d5ec1b,
+    0xc54fdd88, 0xaab152b4, 0x32fef02e, 0xb5979db9, 0x37671af0, 0xbe1a942d, 0xab698ef8, 0xb090625f,
+    0xab74356f, 0xbffa224c, 0xa2709866, 0x52c2ad44, 0x81c86df2, 0xf0d953bb, 0xbab55f06, 0x6a781266,
+    0xa8e9f1db, 0x6188d274, 0xdcec0d74, 0x751f19b2, 0x7a7c76e2, 0x3c23ac94, 0xe21ac51d, 0x3c881238,
+    0x4eef4be7, 0x25bf49e2, 0x394aa06d, 0x587299da, 0xd3a1494d, 0x1aed9ae0, 0x9e640a9d, 0xb1fc4210,
+    0x06a1ac7a, 0x1fd9cfe0, 0x93eccc07, 0x88e5125d, 0xec417a4c, 0x21116e40, 0xa6c85563, 0xd04c54f2,
+    0x1d7982ae, 0xbd00d3db, 0x670a6e1a, 0xebad56cf, 0x637162a8, 0x3c5e71d1, 0x3a4af04c, 0x42b13984,
+    0x493ccbae, 0x88ce8c7a, 0x71248147, 0x4b96c350, 0xe3a30367, 0x30e0bf6f, 0xbe057d29, 0x1b54c8b0,
+    0x40404903, 0x6d36ff95, 0xfbb093d0, 0x06d6a8a8, 0x3074f96d, 0x1a2e8b98, 0x26e89e99, 0xf1f3bb12,
+    0x34e89a2a, 0x991fb2e0, 0x0fcdd876, 0xed224f52, 0xa7cea857, 0xc4f11c81, 0x449b866d, 0x3d502e4d,
+    0x3838db71, 0x132b345b, 0xff894b53, 0xab8ef49c, 0xff0abf02, 0x0ba6c059, 0xf12820f3, 0xa2aaece4,
+    0x4e218bfc, 0x7aa5aa37, 0xfb290339, 0x447e8922, 0x85feef72, 0x8c1409d1, 0xb075ab10, 0x6453ab46,
+    0x329e1258, 0xafeb3373, 0xabfe211d, 0x420be97f, 0x2ff35ceb, 0xd85ed6d3, 0x7f5128cd, 0xcf870d5c,
+    0xbe2262a7, 0x56631eb0, 0x16c2326b, 0x7f6b2ae4, 0x409b88d1, 0x552e9397, 0xc528dac6, 0x8af34bf1,
+    0x00d5077f, 0x22efa311, 0x195a3089, 0x68095d13, 0xa01fb72e, 0x3d700952, 0x47058301, 0x8b742fb5,
+    0xffe12f57, 0xa408e163, 0x6233a705, 0x99c6b895, 0xd6ed7418, 0xdfd53221, 0xb8ed02ea, 0x972426bc,
+    0x307d9512, 0xaa69d67e, 0xb46249a6, 0xa7ecc806, 0x28743bb9, 0xd2fd24eb, 0xe6d37d22, 0xe63e6e74,
+    0x11519dc8, 0x3c7a93d7, 0xd8a0240c, 0x4a948909, 0x9aa3ea60, 0xabbc76e8, 0x9bcd31a2, 0xae8c84e3,
+    0xc36495d9, 0xf8558d0e, 0xfadf17c7, 0x426e1dac, 0x0d18ffe7, 0xe54868e7, 0x7ef6f88f, 0x323dda13,
+    0xcf04c893, 0x5d4f37aa, 0x81117434, 0xd2465c5e, 0xdc142dab, 0xd94349b5, 0x92fe16e4, 0x5420c41f,
+    0x7d81b001, 0x2b29041b, 0x01ae8182, 0x2946e56d, 0x878c22d1, 0xfe00fff2, 0x9b1abde0, 0xa1b8d09e,
+    0xa3ba3132, 0x8637ab82, 0xae8c9e47, 0x7d335584, 0xe4212b26, 0x762e5797, 0x8a95c23e, 0xfb85a318,
+    0xae634563, 0x1f8394f5, 0x1b72f9a9, 0x92c48692, 0x4455b76b, 0x329d11bf, 0x71e0b5ab, 0xdf4ee4b5,
+    0x9a8c7b7f, 0x38905b3d, 0xaec648ce, 0x12acaa7f, 0x80dbf8b4, 0xc353b398, 0x39c6b377, 0xf632078f,
+    0xcd0c81a5, 0x46a9a5e0, 0x082a97d4, 0x94464362, 0xff69e4e1, 0x39005967, 0xcf17e87f, 0x2640ee36,
+    0xde9299ea, 0xdb792c3b, 0x97b7ac2a, 0x6efe08a6, 0x5b39cea8, 0xf8cb1029, 0x16fd0da8, 0x15fd8e38,
+    0xa4461c7b, 0x4fd72342, 0x39b54cc7, 0xdc650351, 0x550888e4, 0x6e4f2eb0, 0x41bd34f0, 0xebcc64fb,
+    0x55a1cdc4, 0x9023e538, 0x15577071, 0x6a84b18b, 0xa1ae76c1, 0x8a28534d, 0xd479aecd, 0x11c9d0ce,
+    0xf7d139f7, 0x181c6141, 0xd21bd669, 0x4f678f7e, 0x0f9f5b2b, 0x083656eb, 0x2502761d, 0x8b53c142,
+    0x8f0a3d56, 0x34bff75e, 0x34c78fa4, 0x4edd9fb8, 0xe0a1001b, 0x4d719526, 0x8f3cda00, 0xed2de0e4,
+    0xb67d6d48, 0xd43b69aa, 0xd2a5735f, 0xaa988f6d, 0xf3b39f74, 0x4156a503, 0xc18eafb8, 0x899507c5,
+    0x7167b816, 0x703318a7, 0x3750f2ba, 0x5997c773, 0x5d515082, 0x661853b1, 0x9d11ab10, 0x535f4d5c,
+    0xb51dd047, 0x0fab5f07, 0x287ef8c1, 0x944950ef, 0xc9afcf78, 0xc9883e56, 0x2e169440, 0x46510f30,
+    0x58d07d7c, 0x1516d22d, 0x9d334ba5, 0xe5bf08ba, 0x9807dd7d, 0x0ae8bbe9, 0xf92f3c7c, 0xf5b37a8c,
+    0xbf9008b5, 0x69bb68ff, 0x8e4790ab, 0xf01e6572, 0x64eaf865, 0x9d8d9001, 0x2dc02a16, 0xc5a9b3fc,
+    0xad822e55, 0x31e1e48e, 0x57c6ef77, 0xc44c2045, 0x33bcc03f, 0x4f4d9bbe, 0x7b30be57, 0xf18a3dd6,
+    0xc6fd6e40, 0xaa22d35a, 0x987a2db4, 0x135cc01b, 0xe861b142, 0xa9ad663f, 0xdf507e03, 0xc90c2740,
+    0xe4e33240, 0x991d86cd, 0x5b0c9bbc, 0x8bd79f8b, 0x193671f1, 0x4b537127, 0xf1900529, 0x928407e4,
+    0x071893e5, 0x11b949bc, 0x207c41fb, 0x78d5253e, 0xfbdb2bef, 0x404bf46e, 0x381b3259, 0x1d36b3d9,
+    0x64d53f98, 0xfd042681, 0x4417cd07, 0x5b7c3e23, 0x42de2706, 0x77b2447a, 0x17bedd7e, 0x39e52149,
+    0x9daeace8, 0xb71149f2, 0x9232e400, 0xa9236e84, 0xf0c1671a, 0x8bf187d7, 0x4a8c3643, 0x63aac08c,
+    0xaebebd1f, 0xb7596bc1, 0xe377fe6d, 0x6b7505b5, 0x48b7cf33, 0xb508fa02, 0x5ab46a19, 0x8b469f0f,
+    0x486a5388, 0x9cb993c1, 0xabf8ce07, 0x847f3867, 0xdf7e2859, 0x8cc9a4ed, 0xfa126403, 0x8338391e,
+    0x00000000,
+    0x02402c93, 0x1d406db5, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000324518553658426726783156020576256 */
+  { 0x00000000,
+    0xfa6fefd1, 0x4bb7641c, 0x928b0572, 0x74394144, 0xdc176815, 0xa167f827, 0x2d2bb1cc, 0x9f80072d,
+    0xa0815d7a, 0x2957873a, 0x857fcc09, 0xd1df99f6, 0x7700cdbe, 0x951fb0d1, 0xdebf7999, 0x4d0187f2,
+    0x0692c1ff, 0xa88fcfe1, 0x1ad76c4a, 0x7297f99b, 0x0195f7f7, 0xd7a9e58d, 0x78e36127, 0x846161ab,
+    0xbc1766a7, 0x9b41d909, 0x8eb46b32, 0xa7dae34d, 0x53018de7, 0x0e06fb1e, 0x3e8835a8, 0xb88ed9cc,
+    0xc3830898, 0x93268d55, 0x0901d41c, 0x3550f7a3, 0xfe8d1f4a, 0x0cfb814f, 0x2ae6f724, 0xca082f67,
+    0x684a55f9, 0x66d45b14, 0xf50a93ee, 0x48a1c14c, 0xe4214074, 0xb0ccd36a, 0xacdec6ad, 0x9a37b7d5,
+    0xc2f14526, 0x2f7b3ea2, 0xfe9babc6, 0x6a20c899, 0x89afa743, 0x52474c19, 0xcde95682, 0xe0d4975e,
+    0x1b10b95c, 0x5ea5100d, 0x617078f4, 0xf9c71173, 0xcc8bc5e2, 0x92fa4552, 0xb77252c3, 0x841841b8,
+    0x019fe45d, 0xbcfe49cf, 0x4cb35ef7, 0x2c95c50e, 0x0dfe0c3d, 0x634a8f0d, 0x6c248508, 0xf619e190,
+    0xabe88772, 0xf1c42d39, 0xd5d696b2, 0x408486e5, 0xe2707337, 0xb23c9e44, 0xcdd44f87, 0x9f511e6e,
+    0x7d21ca81, 0xebe70a04, 0x9b4f2249, 0x26287d2d, 0xa1678e61, 0x26f267de, 0xca034b0c, 0x33beba55,
+    0x45712748, 0x746eb2bc, 0xd742ba0e, 0x6582df60, 0x2574d663, 0x342427f4, 0x8184fb7e, 0xe6fd56a0,
+    0x42e60c15, 0x10be8084, 0x441185fe, 0x1efc545c, 0x73d194c4, 0x92c228c6, 0xd79842dd, 0xb1eb925f,
+    0xcf71fec1, 0xfb2aeba4, 0x494f1802, 0x99a509b7, 0x7cc2c8d6, 0xbc152a8b, 0x3ce638f2, 0x191deed0,
+    0x141d926c, 0xc91890fd, 0x72cb1ba4, 0x12b2f4df, 0x1bf179b8, 0x3d5afe3c, 0xafb714fe, 0x8bd89921,
+    0x90d66c2c, 0x45ebfe31, 0xf4159a1b, 0xd044cd52, 0xda860454, 0x3663fa29, 0x0f5b54c6, 0x9383f29a,
+    0x00473124, 0x64b3fab0, 0x5e1939a3, 0x29104d3a, 0x35e6bc56, 0x5c7681bb, 0x299621b0, 0x6df7c3b8,
+    0x6dc11f48, 0xe21f793f, 0x3898d029, 0xacfbb60e, 0x7e96808f, 0x2f419681, 0x3e0e5a00, 0xfd7b016b,
+    0x77d92885, 0x0c53466d, 0xd10158c6, 0x96dc366f, 0x528f627c, 0x1baebdf2, 0x564e27c3, 0x0dcf9d66,
+    0x3b9f15bd, 0x13526fed, 0x72ef5f5e, 0x3651c276, 0x331156c0, 0xfe837b44, 0x4690ddf1, 0xba0dea71,
+    0x9ad36ba9, 0xa8052cb1, 0xf18e53f2, 0x353a9b33, 0xde8b8ace, 0x1ed3a61c, 0x3544b20d, 0x637f5c2c,
+    0x4a725bd1, 0x239defa0, 0xaa9bc02a, 0x781ca5e7, 0x0d23eae1, 0xe626f583, 0xe36aba98, 0x6411af73,
+    0xcb2a05f2, 0x5ad85ae4, 0xf4975e8d, 0x33f85abc, 0xdd9dbe3a, 0xed2a6174, 0x8b790acc, 0x3f840dfb,
+    0x29d8bd99, 0x2065b5fc, 0x968aa44c, 0x0d593dd9, 0xd34f9142, 0xe4bab1c2, 0x033ee121, 0x6a29cd0c,
+    0x255a0e18, 0x3e8f882c, 0x975d4f98, 0x0885d9d9, 0xda8e7bbb, 0x6b6c1174, 0x08e01cb5, 0xf4a38877,
+    0x5574458f, 0x6a79c82a, 0xd84cab90, 0xff0c7f19, 0x48861473, 0x5429164b, 0x7296f668, 0xd69f73b2,
+    0x0caad13f, 0x4efd6acd, 0x75611e06, 0x0f195c6b, 0x2b345a26, 0x5a5ea478, 0x34c25595, 0x087385ca,
+    0x54dd4d41, 0xd6f81b9d, 0xb8daa2f3, 0x96cbdc30, 0xa329155c, 0x8ff9c89d, 0xab9bfbe9, 0xea359a68,
+    0x900b6790, 0xa3cea967, 0xbbcd7f5f, 0x258bad4b, 0x694a0f26, 0xea7bdbca, 0xdbf3c85e, 0x8d59903a,
+    0xb8c617b1, 0xd1699d14, 0xb724ae92, 0x0f35be81, 0x4b3c0ee4, 0x0125ad01, 0x61c6612d, 0x238823a3,
+    0x30947f82, 0x1381f1d0, 0x52f90aee, 0x7f205ced, 0x7a01c3e4, 0xf0223d79, 0xc1b2f90e, 0x661afc67,
+    0xe37e4ce5, 0xbbcb2a5c, 0xe196b827, 0x9aeaa995, 0x09165af4, 0x1fbea96d, 0xccc86d25, 0x65b6f87c,
+    0x9cbcc1f5, 0xaf23bb36, 0xad8153af, 0xdc5fac83, 0x98507436, 0x48a3cb1d, 0xeb8b953d, 0xe480d30d,
+    0xb4004834, 0x5d23aaab, 0x2681f3a6, 0x3d5593d9, 0xe292be6c, 0x1ea27210, 0x28aea65b, 0x559ca3df,
+    0x148f9c31, 0x3f14b8d6, 0xc00ef3e3, 0x58ca1bf9, 0x29a7a02c, 0x17a454dc, 0xeab90127, 0x2e042ec9,
+    0x9467a15e, 0x302c62b5, 0xe1dea108, 0x5e76f29e, 0xe0ffd762, 0xe263fc86, 0x732f28d7, 0xe546e7f2,
+    0xa6095151, 0x7e3603b2, 0xaaf8596c, 0xbbd3d997, 0x280fe04e, 0x3c483376, 0x1f725b99, 0x422b5f6c,
+    0xefce2f18, 0x60d7c3bc, 0xbc264de5, 0x5dd90fee, 0xea24c8bc, 0x9cecae43, 0x619d40a3, 0x271044b5,
+    0x280d71eb, 0x49333594, 0x7390721d, 0xe1a41e65, 0x60034bd1, 0x34c8e2ee, 0x478615f9, 0xe55feb88,
+    0x6be0ec86, 0x2026f7a3, 0x787a30ff, 0xbe240f22, 0x452158c4, 0x67fc4464, 0x298bad5c, 0x1c9301b2,
+    0xa96000ab, 0xae838d3f, 0x011c069d, 0x732e8fc7, 0xc8c727d9, 0x095e514e, 0x0b83148d, 0xf02bb34b,
+    0xd214804f, 0x5216e912, 0x41853b2f, 0xf18245c0, 0x61789116, 0xcea84b06, 0xd67edd6a, 0x9a5c8abd,
+    0x77481474, 0x49084a32, 0xb7ce14d2, 0x34d8614d, 0xbd66c4e6, 0xe7ca244d, 0xf6e84954, 0x2448b1ed,
+    0x5473538a, 0x4a28d307, 0x63552157, 0xe8b9227c, 0x01abd84c, 0x22331c49, 0x63c3f7cc, 0x38d52181,
+    0x98364ed9, 0xe0875d3b, 0xb77aa324, 0x9d73dbb9, 0xab0d3bb7, 0x0e68937c, 0xbe4dd539, 0x49b1dba4,
+    0xdc0f536d, 0x6eb1b147, 0xaa018170, 0xfd4f01e5, 0x404b8c1b, 0x30b42564, 0x2111ae57, 0xe73f94de,
+    0xaf766657, 0xdf97db07, 0x58fa0608, 0x68f46037, 0xb3fce53d, 0x756c6f7c, 0x5d65c6bc, 0xa35588ba,
+    0x2e461e7b, 0xf1e8e7ab, 0xe1041703, 0xc2a01ced, 0x9d0e3732, 0x677eb673, 0xce118571, 0x8378109f,
+    0xbe0553df, 0x41f7ada9, 0x85e1d55a, 0x5534eb8f, 0x30f1e677, 0x9ade8f2d, 0x749ccc00, 0x277e0f20,
+    0xda044755, 0x06d07a6a, 0x3bf58a9f, 0x2b2ed989, 0x9fabb6f3, 0x150a55c1, 0x1e3e8239, 0x64d470f0,
+    0x99f3063f, 0xdcb18ad6, 0x134d4dfd, 0x4bf398ed, 0x9a89b952, 0x9a135c73, 0xff5ecab2, 0xd235fc9a,
+    0xea0d7f41, 0x9f8b9ebf, 0x346367d3, 0x9134d1b2, 0x48f90407, 0xfef6f99f, 0xe2797feb, 0x023f78b0,
+    0xfe0d3067, 0x7a9ef16e, 0x17eb1e9c, 0x7df9e993, 0xafd7f514, 0xe5a82bda, 0xa9e65d64, 0x18a616db,
+    0xb8411714, 0x9f06e2c7, 0xeda3dc85, 0x4a8aea3b, 0x7f4ef261, 0x464d2e7e, 0x228303a8, 0x56a83ab3,
+    0xa70575ee, 0x91455967, 0x163ef67f, 0xae968714, 0x43928608, 0xd52795dc, 0xe089d117, 0x88564a81,
+    0xbb99ee1a, 0x5aeda9c2, 0xb6ecc985, 0xfa1184f8, 0x54cb8874, 0xa061d503, 0xa26e82e8, 0x3d7f3ba5,
+    0xbabdd49b, 0xbf0a8004, 0x967cf962, 0x8d6561cc, 0x4243d595, 0xdff0bdbb, 0x8fe8b0fb, 0x9880adf2,
+    0xc7bd1e3d, 0x18db7c37, 0xaee11f8c, 0x064f65ae, 0xc8e973d0, 0xfcd99305, 0x6ce695b9, 0xfe33922a,
+    0x33c94d2d, 0xf66bb816, 0xc2ffdff1, 0x3c197610, 0xfde51f8d, 0x55fe96a9, 0x677811cf, 0x36cbee45,
+    0x08153481, 0x1585aaff, 0x23279a47, 0x6ca03769, 0x54676ab6, 0x9f72b07b, 0x1a31a702, 0xacc9837a,
+    0xb36bf05d, 0x93f21f42, 0x6a68ed39, 0xb2e88462, 0xad67f6ee, 0xfa9abd7f, 0x2ae20541, 0x778dfd93,
+    0x09d89457, 0x604f4eb8, 0x393a7d62, 0x8e28ef5f, 0x38e094e5, 0x16ec5f5b, 0xc1e97340, 0x7e02b5f7,
+    0x2c728088, 0x953e4979, 0x3181de10, 0x2ef9d797, 0x517907f8, 0x690c2f0b, 0x87825225, 0xb340ae54,
+    0x202f199d, 0xee9d49ee, 0x5c6614de, 0xe7e380d7, 0x2e6efbff, 0xcbca20e0, 0xba8a5441, 0x7581b747,
+    0x559262c5, 0xd5fb8af2, 0xcec48796, 0x45af7070, 0x9a080392, 0x65c00bae, 0x968dcabc, 0x491ecfec,
+    0x3373bbb7, 0x312bff9e, 0xb445a226, 0x4df79e6a, 0x87e78dad, 0x348b7dc1, 0x25b9107b, 0x2a7975fa,
+    0xb924028e, 0xaf0f2ea2, 0xee9a20cb, 0xa83fb409, 0xfcdc86b1, 0x854b4dce, 0x6fcd315e, 0x743fcd8f,
+    0x1ba08450, 0xcc232a13, 0xbb8e7c2d, 0x88117362, 0x86bd4012, 0x55c8f647, 0xe18d0f8d, 0x0f6679ad,
+    0x58a70ef8, 0x8fa33a53, 0x34b80ba0, 0x125e2023, 0x18d19e28, 0xa57806e6, 0xb82dfdfd, 0xb5d13cd3,
+    0xb0ed2266, 0x69a7e87d, 0x1f9fadf8, 0xe437b0af, 0xd6e288fd, 0xa384dd74, 0xcdab415d, 0x2f058d75,
+    0x8a8227ee, 0x692d618e, 0x80f4dbd2, 0x9a5047d4, 0x352f05f8, 0x8c3792ce, 0xe6af73bc, 0x8784da60,
+    0xc6d7f925, 0x409ffcfa, 0xc1af5bb3, 0x46991350, 0xb037775a, 0xbe78c212, 0xbf441f5a, 0x7dc120ff,
+    0xc20ba104, 0x48b40606, 0x94b80ae7, 0x12591e78, 0x37ab5132, 0x738f6c2c, 0xfc285417, 0xd56c08e3,
+    0x59627014, 0x98750b1b, 0xc9f9ca2a, 0xa56813b2, 0xae1cf3e0, 0xbe40145f, 0x5bb469c1, 0x04b8ace3,
+    0x19504c4b, 0x3cadd1a5, 0x0ca35a35, 0xd9695e5b, 0x92fd7880, 0x2b572abe, 0x0b01d268, 0x0f4f6fd7,
+    0x33050f5b, 0x88cb1144, 0x68c7a319, 0x8a9058af, 0xd2d32f43, 0xae350e51, 0x1619fee5, 0x0fbba367,
+    0xf270c09a, 0xd54ebbe0, 0x6aed65cc, 0x9ddb705b, 0xf82b05f7, 0xccc08eb5, 0xc0d8fac8, 0x3fc87630,
+    0x4660a19c, 0x9c3d8f30, 0x0e14d163, 0x993346f5, 0x8a470462, 0x5eb77a3c, 0x0b5f166a, 0x0760d829,
+    0x1129ba5b, 0x6b7074c8, 0xa1d2cbd5, 0x35777f1c, 0xb95d612e, 0x273dc49b, 0xaeb66f0c, 0x27d74028,
+    0x476bf6b8, 0x941ce43b, 0x644590c4, 0x8c640865, 0x345b7165, 0x02ec2acb, 0x207cdd83, 0x27f6368d,
+    0x4a9459f2, 0x9955af05, 0x85175d04, 0x28fefacb, 0x02060300, 0x7d1146a7, 0xf5b640a7, 0x30ac1692,
+    0x1df483f6, 0x26ff7b34, 0x7b5ddc72, 0xd1c91260, 0x17101db7, 0x3aad5364, 0xfdaf18c4, 0x52831917,
+    0x58663314, 0xcc7327ff, 0x2ad51a34, 0x096bcca9, 0x3059c3f8, 0x118ad879, 0x96bc49b8, 0x419c285d,
+    0x28d12463, 0xfa4e04de, 0xfbe8da90, 0x40addbb7, 0x6ae011ea, 0xd790e599, 0xc6a61eb4, 0xb242deb3,
+    0x57b5139e, 0x54b7f1a2, 0x567dd02f, 0xcb9bd929, 0x64184b77, 0x50fee8b6, 0xdf1ad265, 0xd9faad2b,
+    0xd5a5e910, 0x1008b344, 0x8b269a47, 0x01f50b8e, 0xbd9e55a5, 0xd1a174a9, 0x4197d0fe, 0xdee2434f,
+    0x45b6c7cd, 0xaefc16a8, 0xc8dfb04b, 0x3532be66, 0xa0d47cc0, 0x424e8d65, 0xb8d09b39, 0x44381c17,
+    0xf57ff6a9, 0x4f38e923, 0xbc29ea2f, 0x10330218, 0x84366972, 0xce65f0df, 0xa6eee02c, 0xbd6a7514,
+    0xb485463c, 0xcd384302, 0x922d6a43, 0xdbd77c55, 0x2a45e2a6, 0xf0715e12, 0xd331e907, 0xa6e78c5f,
+    0x52515b96, 0x058297b0, 0x74ece8ed, 0x16fd4ffd, 0x419af1b1, 0x49843d5e, 0xaf2fc786, 0x35965dbb,
+    0xa3eb3926, 0x6c37fd01, 0xf0ae9173, 0xbd5cfbaf, 0xd2c9d1b8, 0xbb8d1544, 0x65b4ba06, 0x74a1bfb5,
+    0x2dfe7fc1, 0xf0c7774f, 0xf3304892, 0xdb4d9f34, 0x7ca9ebce, 0x590be257, 0x4ca4bef0, 0x5f605ad0,
+    0xd3b296d0, 0x1568738b, 0xc2ffe21f, 0x521d57f8, 0xb46f8ceb, 0xfc755532, 0x50be3099, 0x98b459d3,
+    0x23fb64f8, 0xe9a20903, 0x8002d5e2, 0x29c010aa, 0x63808fd3, 0x1e24d6bf, 0x6d43ebbd, 0x052b5d5a,
+    0x6a30ccfa, 0x0ebac475, 0x7ea71444, 0x525e0a59, 0x892442ef, 0xabc386b8, 0x45c52505, 0x22fdb5f4,
+    0x29550eb7, 0x322a9846, 0x11417694, 0x43273e29, 0xf21df226, 0x7ac4c5e3, 0x88d0f4f0, 0x64c19a09,
+    0x8598c365, 0xb7868efe, 0x156a94b0, 0xab9216ed, 0xc8b7e29a, 0x1a7b4ee1, 0x7160d4bf, 0xbfaac418,
+    0x05825681, 0x562275ac, 0x698681c3, 0x858c704c, 0x5886fd68, 0x1d210223, 0xeb0d0c60, 0x94458335,
+    0x526e871a, 0x4d5028ed, 0x5aa70e97, 0xb742a74c, 0xdcf2c7b4, 0x7b921d52, 0xbfecba52, 0x695025ba,
+    0x59cce994, 0x0d7b60a2, 0xdd80c8e3, 0xf9af44b2, 0xcbe57f24, 0xe9945ec2, 0xe3e993ff, 0xdc9ea32e,
+    0x5657fe92, 0x98af0b6e, 0xd5d1eba4, 0x08ca56c9, 0x671e09cd, 0xa0f4ea0e, 0x0de84724, 0xc6c110f1,
+    0x775b003f, 0x5330c76c, 0xc1c36217, 0x756ee1bf, 0x5eee9998, 0xcfed948d, 0x6323a0f6, 0x0d3a7a3e,
+    0x2ddd896d, 0x618d5760, 0x5e92b8c1, 0xb95e2741, 0x817ec5dd, 0x7d94cf55, 0x43afe2d7, 0x3eb9b297,
+    0xf4bfc968, 0x815db227, 0xd451b56b, 0x54c671b8, 0xb5611275, 0x3390fabb, 0xcb7b5410, 0x311e2780,
+    0x36c42212, 0xa9bda313, 0x742edf4d, 0x57aef3b3, 0xef65dc68, 0x18da2b42, 0x3c1051f9, 0x6ab56fca,
+    0xf7dca03a, 0x3cd853b2, 0x78a948b7, 0x7c73a193, 0xab0d10b0, 0xec9affdd, 0xc9594cfb, 0xd5efa3f0,
+    0x59e30991, 0x582232ea, 0x3c7dd932, 0x8d062ffa, 0x805441ba, 0x47476939, 0x8591c77f, 0x49ea8e07,
+    0xc5f65fcb, 0xa3321333, 0xee87688c, 0x8cfcd503, 0x83c899e6, 0xfac768ca, 0xa7079d64, 0x987bed02,
+    0x888be02c, 0xc03b6434, 0x74b7b527, 0xfea57b7e, 0x7bd3d648, 0x6a09bd5b, 0xae2933b6, 0xa7e624d7,
+    0xcec8fa36, 0x02a624c5, 0xbc6c8442, 0x03047419, 0xcdca6342, 0x39be6946, 0x8856a3df, 0x1eca9ef1,
+    0xcf425dba, 0x9163b16e, 0x46b08fca, 0x84fa6ead, 0x0914bf67, 0x109544db, 0x9ca46436, 0x7c4fe108,
+    0x4edf18ff, 0x588903f0, 0xe7bb370f, 0xc3a6f2a7, 0x4a9397e6, 0xb710bf6f, 0xf42d97d1, 0xa7892e6f,
+    0x9cc7fda0, 0x39f6aa30, 0x64a66500, 0x3a1ff902, 0x082f6e72, 0x2c26dbb9, 0x6bec4d0a, 0x9207e6c7,
+    0x8252d85e, 0x761a7b97, 0x55a3ad5b, 0x1934aad5, 0x3a60fcc5, 0x9a13d36a, 0xbb3eeb8a, 0xb7cb4032,
+    0xa613effe, 0xd6483019, 0x99185047, 0xb2b001d5, 0xa11790ac, 0xce50745b, 0x67f2a717, 0xf562351b,
+    0x6962c632, 0xf72a7bd5, 0xf663acda, 0xfd99bfd4, 0xd2fcf524, 0x5b8e4bdc, 0x92848627, 0xfb74df5d,
+    0x717e5f54, 0xfc49355b, 0x76f8d6e0, 0x63343971, 0x75852e75, 0xd0ee3cc3, 0x6afe4883, 0x2e49c055,
+    0x123a5783, 0xa8ce2d8c, 0x4d2c34c4, 0x8b66bd53, 0x8709c567, 0x27325079, 0x6fbb0c06, 0x38de2552,
+    0x63c70e02, 0x283aa9eb, 0xda41a838, 0xc78b84fd, 0xce630a18, 0x83b30b39, 0x903e7032, 0x09006183,
+    0xe7fab4d8, 0x18aae04d, 0x1f6a0626, 0x62ccc925, 0x4c52adeb, 0x498cde19, 0xecae8643, 0x332c180d,
+    0xebdf159a, 0x930dc07e, 0x3e955ced, 0x2fd398e9, 0xa57adc22, 0xd48b7790, 0xb098a8e2, 0x5ff1b190,
+    0x7de2f32f, 0x4d428ee4, 0x71f2b6de, 0x81557565, 0xba0635ce, 0xe53171e2, 0xd281dedf, 0x75998108,
+    0xdc0ee0fb, 0x5170f42e, 0x5adcf5e3, 0xc86952b7, 0xfb15139e, 0x41308ab2, 0x87c64de5, 0x2af906d6,
+    0x0ba5346d, 0x40c6ab1e, 0x4907fd42, 0x36b37df4, 0xf7a18f33, 0xb05abc99, 0xcb286315, 0x1e07fade,
+    0xf3b9d79b, 0x65d1ccd1, 0x49162054, 0x7472e3db, 0xce7f9c44, 0x7584de1a, 0xd17533db, 0x7905e68a,
+    0xc8196dc7, 0x80931001, 0x8ded288f, 0x6f870419, 0x1e1b18a2, 0xaf2c02de, 0x83c356b0, 0x81998d5a,
+    0x00000000,
+    0x81201649, 0x8ea036da, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000162259276829213363391578010288128 */
+  { 0x00000000,
+    0x4a7e3255, 0x76836061, 0x4c7cd5ad, 0x2e17ebd2, 0xf1318d7a, 0x1e3ed843, 0x396fb0d5, 0xfae13e8e,
+    0xb5051aba, 0x9a9e85de, 0xc7e20be5, 0xa648cfe4, 0xc60d63de, 0x911e558a, 0xf4605253, 0x557b0398,
+    0xe10d17db, 0xd984c194, 0xcc81bc8f, 0x570dcba2, 0xab901130, 0x14685a77, 0x54bd1eb0, 0x252ea0dd,
+    0x701c0eb1, 0xb7ca43fc, 0x5cab3640, 0x90a2f0a4, 0xaf4be3e7, 0x2c7022a9, 0xd75361b4, 0x4f5a9385,
+    0x0af7faa3, 0x145e2f9a, 0x48bf9524, 0xbaafcad5, 0x7dab0443, 0x89e384de, 0xc341771b, 0xaa3b572e,
+    0x5c300ff2, 0xa4d8e692, 0xa3fd57a6, 0x3dbf0703, 0x292354e9, 0x5d45302e, 0xf22f2413, 0xd2d2bc9f,
+    0x48490387, 0x1d441155, 0xb27f6e8c, 0xbfc2dff0, 0xa67ff08a, 0x8075ccc0, 0xae73eb10, 0x6006e103,
+    0x8d02e7e5, 0x943d0812, 0xbae4d3de, 0xbe48e7a2, 0xa8382830, 0x1f7ea15e, 0x14f15545, 0xf1338319,
+    0xe5418976, 0x3dc27be0, 0xc27ceef3, 0xad985a81, 0xf414bc36, 0x0d54bdfa, 0xf662fddb, 0xb4450bc5,
+    0x03681423, 0xd5f63d33, 0xbab46119, 0xa9012325, 0x09d6ad66, 0xca94d461, 0x695d02d0, 0x56b81c13,
+    0x5da7a8ba, 0x954f645b, 0xfe7a2e6d, 0x0c6e6d3a, 0xf1ef78b7, 0x3d5b8baf, 0x1251894d, 0xc8cd6f36,
+    0x938aebb8, 0x344c81aa, 0x1c59c4bc, 0xf512890d, 0xcc87d5e7, 0x42dc1329, 0x521ab8d7, 0x0c859e37,
+    0xd40fd1d9, 0xbc73772c, 0x8046528c, 0xe39f3a22, 0xa57fc826, 0x90da42ed, 0xa8abb8eb, 0xeb4af57a,
+    0xcbec195f, 0x57d15c6a, 0xde8ba839, 0x37dbb5f7, 0xcff6aa1b, 0x0cc307e7, 0xf1739bd0, 0x01566068,
+    0xf3e6d48a, 0x4036279f, 0xb8615913, 0x0cce5909, 0x3ca41279, 0xb711a863, 0xc67e10ae, 0x83071ac5,
+    0xdc1f5c22, 0x2b2098d1, 0x4b9c34bc, 0x2c0f7b71, 0x5a758563, 0x44bdc3d7, 0x4274a52d, 0x33e05aee,
+    0x4dca47e5, 0x7db30125, 0xf4cf6c02, 0xc2166ad2, 0x832f3b2c, 0x556e5280, 0xed6750c7, 0xb76ad50b,
+    0x108883d9, 0x1a7a617c, 0x09dbf8b2, 0x416e2565, 0x94789e9d, 0xcbc3cda6, 0x54c2aab7, 0xd92068a8,
+    0x4ce170a9, 0x8be24240, 0xf5f249a8, 0x000c44f3, 0x35a19179, 0xdc3a317a, 0xb3f8fc9e, 0xea3a7570,
+    0x9bfd5001, 0x7e8957cb, 0x25173b25, 0x56bec681, 0x94607013, 0x3cfb10ca, 0x7b3c0e82, 0xb4fc9383,
+    0xdb30dc0c, 0x4f946b38, 0xeb4bed1b, 0x2ca6d39d, 0x9dcf56b3, 0x0194e54d, 0xfdb5b692, 0x2555ad3e,
+    0x704ff0c7, 0x579379fe, 0x2efdebc1, 0x6d09a1d9, 0x15860794, 0x7ac4c2d0, 0x05a97f88, 0x8553bf42,
+    0xf16dc3f6, 0xba81fedb, 0x3b763fbb, 0x6af739f6, 0x24ffab77, 0x7f149dec, 0xd3b27075, 0x7b1cbb39,
+    0xbeaed1ba, 0x8528e624, 0x3f0f5150, 0x48e971d7, 0x4aefd595, 0xea6ac687, 0xc2fed1a8, 0xd3276403,
+    0x2c25672e, 0xd50efe2b, 0x0a9f190c, 0x1fcb51ee, 0x17a2b30d, 0x0ffccc6a, 0x47002b48, 0x2e267507,
+    0xe8b6c711, 0x5f8317ba, 0x637a9091, 0xec170770, 0xcc5abe18, 0xa3dd7835, 0xaa99412e, 0xeb397875,
+    0xee834723, 0x8e7d518a, 0x70173abd, 0x7b38dfaa, 0xf304089d, 0x204f50b0, 0xee2308c4, 0xfc47f57f,
+    0x21c1b469, 0x35b91b8b, 0x4f734a62, 0xf85f1735, 0x44ab6c3b, 0xd4a85d08, 0xba240d3d, 0x5b430f91,
+    0xc301f50d, 0xdfe5b021, 0x4ad9a760, 0x904ff18f, 0x4942033b, 0x892bb3a9, 0x40f0cd01, 0x26c07a91,
+    0x4d1b3f4a, 0xb4f314ff, 0x9a611c8c, 0xd12fd44a, 0x7850442c, 0x40db341f, 0x1ab51ba9, 0xcd6fbdbb,
+    0x5d314fe4, 0x021da634, 0x1eb112ab, 0x193dac71, 0x08ea0ec9, 0xa9336e04, 0x36d90c81, 0xd5845b19,
+    0x78aed7a7, 0x827fb3c8, 0x6d6686e6, 0xcbc4538f, 0x4680a449, 0x2c69ad25, 0x076a64d7, 0x71dd3ff4,
+    0xdc7cd7de, 0x2cf71a50, 0xb16c130a, 0x77be2224, 0x7b4dfcfb, 0x2934350a, 0xebae5c9b, 0xac1eeb58,
+    0x9c93ce82, 0xddb87d00, 0xe6823eba, 0x1444e043, 0x9bebc137, 0xf93aed02, 0x44f0fa2d, 0x0deea336,
+    0x8e61b57f, 0x43d53f49, 0xf5a667d0, 0x69f578fd, 0x2c158e3d, 0x2e66f18b, 0xa88fae1a, 0x047498e5,
+    0x64e1eeea, 0x81c7e09d, 0x9e8019d6, 0x9ee98d61, 0xe572dfd0, 0xc497843e, 0x03219d18, 0x993b4207,
+    0x7ce9c537, 0xf9eb822b, 0x7f01d014, 0xc49b2e32, 0x63635546, 0xf4438977, 0x8ccdac7f, 0xaa660616,
+    0x12551603, 0xe95c8377, 0x403cc191, 0x24e4a90f, 0x9d5dd6c0, 0x92735316, 0xd1d02614, 0x82d86810,
+    0x311b2217, 0x7cdedf0a, 0xcd8165d4, 0xcd5bbf54, 0xa14508ee, 0x1ebcf03c, 0x9163c6ba, 0x8d8138bd,
+    0xcae3f78c, 0x2160ccd4, 0xa7c21f35, 0xc98977eb, 0x68d48a90, 0x245447d4, 0x1a5b2fbf, 0x6eb41022,
+    0xe5236c98, 0xa2243198, 0xeec25b51, 0x19a194cf, 0xc9e1e6d8, 0xd22b2d2f, 0x36ef867f, 0x674d8f0b,
+    0x5f890ca6, 0x62f05f17, 0x1f345e8b, 0x2c9a657c, 0x0b8aeb2c, 0x953f61d6, 0x85e50673, 0x1b87a6ed,
+    0xda934253, 0xfe0ddd0f, 0xe4d89742, 0xdb4c8636, 0x703c0e4f, 0xb9b53326, 0x762b2a7d, 0x0aa3d669,
+    0xa9ebcb3c, 0x7465d480, 0x35d0382e, 0x1fb5d1a2, 0x4367b6b3, 0xa5610a1a, 0x5d2859c8, 0xac05e603,
+    0x1a80adb6, 0x0f0aa1ab, 0x4b57d909, 0x1b425519, 0x38de57ec, 0xdff5785e, 0x21fb4c17, 0x46d65fad,
+    0x2a65c66f, 0xad360268, 0x93788421, 0xf063b8ce, 0x19405294, 0x21c0794f, 0xca09eed0, 0x339708c9,
+    0x3c2bfa69, 0xbbb651e1, 0xe703914b, 0x4d22b0c8, 0xd982f523, 0x2689baca, 0x5bd99144, 0x1268a9e4,
+    0xfd9aaae5, 0x528672db, 0xeed4124c, 0x1bb4dcdd, 0xf86baa18, 0xea9ad301, 0xa628fe2f, 0xba2609ef,
+    0xe8cab12e, 0x479239fe, 0xd9bdb11f, 0x29ba14d3, 0x6ab492b3, 0xa2afc15d, 0x4c7f1df9, 0xf36eb598,
+    0xebe2557d, 0xaede5575, 0x926435da, 0x84f57ad1, 0x22986dbc, 0x7d33956f, 0x8c1fc6d6, 0x5335b4aa,
+    0x69b2b802, 0x88d12dac, 0xe5f0badd, 0x2cb39a8f, 0x65194c7a, 0xecb10730, 0xdc133954, 0x53d5d6af,
+    0x57da8865, 0xf14a4c48, 0x3d4425da, 0xc4589a18, 0xe56eac4e, 0xf38779a5, 0xc2c9f51f, 0x788ef71a,
+    0x8795a14c, 0x635fab24, 0x60997d8d, 0x489f3a87, 0x83e9cb3c, 0x0ed81abe, 0x4ea1b66a, 0x9861ef8c,
+    0x86bc9065, 0x341e7a2e, 0xa32b40e5, 0x07e24bf8, 0x49d301b0, 0x7c48611b, 0x0c4f9f30, 0x898859b8,
+    0x4db1938f, 0x635f59cf, 0xfb811cb6, 0xb2cc9833, 0x42b1cf3f, 0x15cf2e9f, 0xf4f941a1, 0x08d2b6be,
+    0xd0896c1f, 0xc6eb64ce, 0x561979a9, 0xd203ae64, 0x2ead40a9, 0x87576203, 0x5998d9ff, 0x8eb4165a,
+    0x06f8cbc9, 0x7263f646, 0x9219130c, 0x84bd259c, 0x24a977fd, 0xe29ca0ba, 0x3a83ea53, 0x505135f0,
+    0x60a4f1c7, 0xbb4394dc, 0x79de3276, 0x6c0117de, 0x82af6a26, 0x9f729b24, 0xb6f4ab8d, 0xeb86e9f9,
+    0x0f29eaad, 0x89c62225, 0x1074e98e, 0x2531ffdc, 0x639fa354, 0xefd84d68, 0x44eb9141, 0xf35e1dd4,
+    0xe90d655d, 0x3dce8e0d, 0x6f8d2b77, 0x9384d5d0, 0xa589d830, 0xf5af463f, 0x8549af21, 0x6dad0dbf,
+    0x5f36d98a, 0x9e8f7a2e, 0x80e6929b, 0x08382910, 0x73430d07, 0x25b34ece, 0x390bb500, 0x636f9968,
+    0x60bb4f35, 0xdf498f46, 0x3007c3b2, 0x49c86152, 0x6f8eb15a, 0x451ea6d7, 0x85a1efdb, 0x69d7af73,
+    0x9c5bfaf4, 0x2571780c, 0x23661134, 0xf1bfdb77, 0x1bd82ecc, 0x376b1204, 0x238ae409, 0x53a4e3ab,
+    0x00a13751, 0x727b5e8b, 0xbd2182dd, 0x7561241e, 0x6afb29d9, 0x0a10c436, 0x99d16e5a, 0x9b903350,
+    0x863bf136, 0xdd57b29a, 0x19ca781c, 0x87d76c71, 0x3a3bd450, 0x76beb41a, 0x51e66dfb, 0x0b402cdb,
+    0xb8a43023, 0xc2782e75, 0x82efbdb6, 0x86b70946, 0x07968d7c, 0x49458778, 0x666dc413, 0x029a5510,
+    0xfe043d49, 0xb125d11e, 0x9bcfeffe, 0x28b192fd, 0xdfd0a6bf, 0x5ea78770, 0xb290b966, 0x0ab60f6f,
+    0x1d011a24, 0xd7b7327a, 0x8e1647a4, 0x7c7cb4b1, 0xb3224efc, 0xafc0b2a7, 0x4e6b3b3f, 0xd377270e,
+    0x093fe320, 0xd73ee7e9, 0xe65f8bf9, 0xadd3fb3f, 0x6b614f74, 0xec8b4306, 0x05af23a5, 0x209f9c0f,
+    0xcef5cbec, 0x19258db9, 0xae36e892, 0x61bdac01, 0xaa5671ce, 0xde1fb104, 0x2e3ebe9d, 0xfb8e520c,
+    0xf996159b, 0x5449ef23, 0x544e02e4, 0xbe6b88a4, 0x06e8c43f, 0xa90893e0, 0x19c58fe8, 0x15c87c29,
+    0x28fffe23, 0xee692f88, 0x7e9fff0f, 0x6b6e6bd0, 0x0e57ce18, 0x29debe7e, 0x92fba0b8, 0x088ffe50,
+    0x943f9cd6, 0xf86d47a6, 0xb4b9eb08, 0x3de97b20, 0x80f9b1bc, 0xddab0a2f, 0x321163a2, 0x71bc08a1,
+    0xe367935b, 0xd6bdca92, 0xd90896e9, 0x679efa5a, 0x8139c061, 0xa571965c, 0x29f247ad, 0xf8a40bfb,
+    0xdaef28a2, 0x2435ea08, 0x2cdb64cd, 0x9238d197, 0x74d287ef, 0xe2fb1549, 0x3131d914, 0x3b51dc63,
+    0xa2206bdc, 0xafb0c2f5, 0xf1704abb, 0x80c6a8fb, 0x7b21f9d8, 0x5d85e96a, 0xdab0da3d, 0xc99ddec6,
+    0xafe2b99a, 0x0d9ab4dc, 0x675bb700, 0x50d18fae, 0x54c059c4, 0x41f09dfc, 0xb266c5da, 0x3c2e56c9,
+    0xc511e9e4, 0x95f1dff6, 0xd58319f5, 0xaa227c88, 0xf13533b8, 0xd626aeb7, 0xfce151c4, 0x63f68364,
+    0xdda06a1a, 0x30ea6a00, 0x448805cb, 0x9b663822, 0xf79f7e94, 0x00409c87, 0x7c4bffac, 0xff738a76,
+    0x03fa7761, 0x48a68d63, 0x1c42e606, 0x7b36cd3c, 0xd4bb84bb, 0x65f58a77, 0x4cfccd90, 0xf4c8700c,
+    0xa408c197, 0x5d9965c9, 0xa40451c6, 0x66a2acbb, 0x8171155c, 0x8186f07f, 0xc3d290fb, 0xa6986435,
+    0x0798cd5c, 0x8fa8cf02, 0xd2981040, 0xe8a91728, 0x74509660, 0xab701409, 0x93361d23, 0xa1b33541,
+    0x446053e4, 0x943cd204, 0xa7581d47, 0x08aaf7d7, 0xe2153ac1, 0x374206e3, 0xac3fb2d6, 0x26efb5a0,
+    0xc64ffdf8, 0xeb03062c, 0x13e3ed75, 0x2fffd010, 0xe361eeec, 0x3a606b0b, 0x742a6534, 0xf933586f,
+    0xe4fe36e7, 0xa6e51a84, 0xa06843cd, 0x36ccafc5, 0x0535a2fd, 0xa927c6b0, 0x90eb94f0, 0xf2530318,
+    0x680d85df, 0x89eb352d, 0x3f411f8b, 0x3172bb9a, 0x62ea5f3b, 0xe0970825, 0x2ea6e670, 0x3db4971c,
+    0xfad46176, 0x4b69e37a, 0xe91f98b3, 0x8c120aea, 0x3668e21e, 0x3c08c73a, 0x0dc240e6, 0xbbfe4360,
+    0xce8cf9f7, 0x2fdc80d5, 0xf0be61c2, 0x514383fb, 0xbeb5c7ca, 0xeb17e80d, 0xc52e9791, 0x95944589,
+    0x180f02f3, 0x3836c1fb, 0xcaf476a4, 0x82e7c25f, 0xbaeeaf66, 0x25baa73e, 0xe569a8ee, 0x42d0e42b,
+    0x08f961b9, 0xf3217907, 0x8e0ca312, 0x810b5dec, 0x41e8135b, 0xf91197bd, 0x5792d8bf, 0x6b5231b0,
+    0xa0e7f703, 0x222e9384, 0xd3209bc9, 0xc62184a4, 0x6cdd60f4, 0x7b03fd5f, 0x31756a47, 0x1a476fb2,
+    0x93c77c4a, 0x20958b86, 0xa3fc90bc, 0x91472d7f, 0xe6032203, 0x49d53601, 0xcfce5646, 0x732d9905,
+    0xd143494c, 0x0d7632a7, 0xb3b13e15, 0x6117ed34, 0x3ee1bbb7, 0x1d8badfb, 0x7a582f7a, 0x76efe1a8,
+    0x126372ae, 0x443d4db0, 0x307e1937, 0x508768b7, 0x55e51e15, 0x503cb70b, 0x26f7e512, 0x05b3ed91,
+    0x18985d1f, 0xcda8b2f2, 0x05ac20e9, 0x4e184e05, 0x9bd19762, 0x85d23ea8, 0x390964da, 0x14e12658,
+    0xf4a8c4b2, 0xa87a424a, 0x3384be5d, 0xba58df29, 0x77eabbc6, 0xf70595f2, 0xb3d039d4, 0xcd942919,
+    0x3ce5fe9b, 0x68bc5610, 0xf0047d0d, 0x694dd2eb, 0x152ee0d9, 0xd528f2b7, 0xfecaa801, 0x5e3e4607,
+    0xc0004791, 0x02019708, 0x126c4968, 0xfad11f9b, 0xa02e0639, 0x98d6edcc, 0x0182cda8, 0x8f24cdcc,
+    0x30f0955a, 0xd0fc98bf, 0x9a5f61da, 0x9bb0124f, 0x8102fc26, 0x28c9b14a, 0xdc423b91, 0x4f96e51d,
+    0xc98d2015, 0x58e633da, 0x8ffed465, 0x863e17ee, 0xfa72070f, 0x0f46e12d, 0xb0afe7e8, 0xce02deae,
+    0x24222fc8, 0xe82774a2, 0xc259b956, 0x202dc9dc, 0x2546d089, 0xbf3c96aa, 0x2c8b5e04, 0x8424c07e,
+    0x3650a5f5, 0x26773b89, 0x6d597783, 0xb0c41ac4, 0xc7e9d85f, 0x25350d37, 0xb9500493, 0x1f9962a2,
+    0x07ed4d1a, 0x1429a533, 0xb3d735ae, 0x47b2ebf3, 0x0eaea515, 0x79f345e9, 0x07138d2d, 0x606322e1,
+    0xda6edd31, 0x74bddb1c, 0x93a53c30, 0x6f2ffd6d, 0x973f314a, 0xc182edaa, 0xf8ebad72, 0x084d61db,
+    0x1c4b5eeb, 0x6e92f598, 0x01d27fcd, 0x2ba0c67e, 0xac75e560, 0x748c4456, 0xffd75b2a, 0xa6c2c4da,
+    0x6c3dfb62, 0xb2c7dcf2, 0xff88eed1, 0xc95f4bab, 0xf1225e62, 0x06db3a59, 0x8f0f81ba, 0x4cb5ee72,
+    0x3ba09599, 0xdd285914, 0x5b36cb0a, 0xb37bdccb, 0xf13a50ab, 0xf50ffe1f, 0x7296000a, 0xf35807a2,
+    0xca33ebf3, 0xdd7b3dcc, 0x1d2e8149, 0x82279342, 0x033381c1, 0x3c5a5e78, 0x8114cbcd, 0x3ee3f14a,
+    0x6a591ea5, 0xb080eb08, 0x40e4c401, 0x3bd380cf, 0x2af48c6f, 0xa10220f3, 0xf56970b4, 0xc2d27d1b,
+    0x2b2665c1, 0x8849443d, 0x93c5e7e1, 0xe09b6483, 0x9a0dd8ec, 0xf2d54cb4, 0x28335429, 0xacbaf020,
+    0x0e369289, 0x058ad3b2, 0x26cf0e71, 0x44da2706, 0x868a56cd, 0x8b200c0d, 0x590438de, 0x423a650c,
+    0x0cdf02a7, 0xa4eff859, 0xf7139b67, 0xd14aa1ec, 0xa6fec3c9, 0xb194b77b, 0x7d3e86bc, 0xbbc9e1de,
+    0xa7262935, 0x1bbc6435, 0x64485fb6, 0x965b90ba, 0x21335938, 0xe8474e57, 0x3121bd93, 0x01470455,
+    0x9940f2d7, 0xcd034de3, 0xcf8480d9, 0x04b1c48f, 0x20ff0dc3, 0xb02e2747, 0x352b475c, 0xa3bb1db6,
+    0x22174000, 0x48a3c1b5, 0x1e930560, 0x338df8c6, 0x50d98ac4, 0x66f96321, 0x8d13f8f1, 0xb73d4c7a,
+    0x7f4ec8e5, 0x7377e5eb, 0x2c769a3b, 0x4e7e2214, 0xebed0943, 0xb3467dd9, 0x519a3c9f, 0x874442e0,
+    0x6375d475, 0xb815b86f, 0xf172767b, 0x2204f537, 0x851164dc, 0xaae6e50c, 0x5478a0de, 0x8fff9003,
+    0x6a9cde0e, 0x0d9fc271, 0x9e62df7a, 0x47adaa2e, 0xfc4e3ff6, 0x6eaacf49, 0x28747356, 0x7be58fa2,
+    0xadd989a8, 0x65970962, 0x915b4553, 0x339b38ed, 0xc7416e1e, 0x7859ddb1, 0xe73b9616, 0x026dab93,
+    0x7666fa57, 0x9e108865, 0x7e11baba, 0xedfa18b5, 0x439678e7, 0x209559ed, 0x9d35bc41, 0x5db270ba,
+    0x089f8b7b, 0x6eccb9af, 0x25dddc8b, 0x73ac4576, 0x1cad7c11, 0x924bf7b9, 0x74afc027, 0xf0baff8a,
+    0x0ed9af0a, 0x02cef7c7, 0xec29a3ff, 0x7059d4b6, 0xd7d64463, 0x67cc62df, 0x8389c0a1, 0x88b7aae7,
+    0x857ddcd7, 0x303995fc, 0x0ecc586b, 0x9ddb477a, 0x43bc34c9, 0x4dab7cc1, 0xcdd870a5, 0x2c6ac7ac,
+    0x8f29415b, 0xaa882c90, 0xe9a0b56a, 0x6f843a88, 0x18eee506, 0x6b31a7df, 0x1fe888cb, 0x593991c5,
+    0xd0be82ea, 0xabf2e9a2, 0xc1f92ae2, 0x6e7ce5aa, 0x5adbebcb, 0xfc94440d, 0x53eacfe4, 0xb3a78fd2,
+    0xea2b8efd, 0xfa3a38bb, 0x25170d91, 0x7ca16da6, 0xe9af4814, 0x40db31c0, 0x096a83e2, 0x80cc23e4,
+    0x00000000,
+    0x40900b24, 0x47501b6d, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000081129638414606681695789005144064 */
+  { 0x00000000,
+    0x6289c20c, 0xac213b9a, 0x969748dc, 0x9174c9a7, 0x7c781705, 0xde77db98, 0xd3db09b2, 0xeadc3ee4,
+    0xc12c568b, 0xfe04f29b, 0x93020a88, 0xee003d3a, 0xeeb262a9, 0x81c87d02, 0x0f5296fc, 0x09656635,
+    0x0f04c876, 0x3dcc5f6b, 0x4a2a94f6, 0x1d51c0b8, 0xe9402273, 0xd5ffbc97, 0x3f27acc4, 0x0b4a6d63,
+    0x81508d1b, 0xc176bee9, 0xe209787a, 0xceed135a, 0xcf23d933, 0x58f0655b, 0x00a0ce11, 0x062eb931,
+    0x65a9ef35, 0xc9637e0f, 0x4dff5352, 0x5ba642ca, 0x5f3a87e2, 0x013ece82, 0x5b43d555, 0x6da03276,
+    0x9b9baf2e, 0xbeaaf4c9, 0xe885b8f3, 0x02403ee7, 0x1dba5ecd, 0xab02e73b, 0xa0fda63d, 0xaeab2549,
+    0xfb87996b, 0x2b910428, 0x20707509, 0x89f9d950, 0xf1f9b9fc, 0xbe1439e1, 0xa0a56eca, 0x4012f259,
+    0x6be56976, 0x5e6b4229, 0xb38eb710, 0x7a58d789, 0xf4d9f814, 0x0603c5ae, 0xb68272ee, 0xe1df6983,
+    0xd1297fd5, 0xc24b822e, 0x88539ac7, 0x55db2976, 0x1bf0a052, 0x26da7dae, 0xd1666bc0, 0x5b8a8678,
+    0x36793f58, 0xd8fe0e99, 0x5f89b072, 0x8097d8e9, 0xe0df4cee, 0x970cc539, 0xbd1f22b6, 0x1f59c089,
+    0xd14a1c2f, 0x6ec15eeb, 0x55efc601, 0xf82f1957, 0xf7edf1a5, 0x134caea0, 0x474a50c1, 0xb42ed916,
+    0xf62124ac, 0xc206a393, 0x15f37fe4, 0x7e79a182, 0x92213756, 0x31bf6d2b, 0x7e5f4188, 0x1a70e0a4,
+    0x3b52d361, 0x56b3308b, 0x7e71195e, 0x5f47c367, 0x32727a83, 0x4d7a60ea, 0xa7b7fc37, 0x0d692820,
+    0x72f3bb30, 0x77037137, 0x407dff60, 0x826dcd40, 0x4506f335, 0x1d739439, 0x14aec00a, 0x7f64afd7,
+    0xb42257be, 0x36221e09, 0x14ae694a, 0x5e0e1ec5, 0xe86a10bd, 0xfeeb36d4, 0xb666c796, 0x71950f38,
+    0xf4fce195, 0xb1d2f47b, 0x1c87afeb, 0x1fe5c09c, 0xfe0dead9, 0xffe71732, 0xca07e997, 0xa1f446bc,
+    0xd0d378d3, 0x0a3c0d63, 0x750a278d, 0x18e5cd31, 0xdebc1b10, 0xf65fc756, 0x40962dd6, 0x15c2cfcd,
+    0x6aa1ca46, 0x61af88fd, 0x5386d69b, 0x2800d33b, 0x9ac7c8c2, 0xef20f842, 0x3386ffbd, 0xd347291a,
+    0x7d239f93, 0x63f33755, 0x8d6bfa2d, 0x6b2c8942, 0x0ffb0081, 0xf6b3950b, 0x55f27368, 0xa9fb8d33,
+    0x2f0dc93d, 0xc41d7a2c, 0x26070918, 0xf7981175, 0x255cf5f3, 0x64baa916, 0xe380aa3b, 0xf628c9b7,
+    0x60f5fe14, 0xa9218522, 0x9e737f2a, 0xb36c6ae3, 0x19955112, 0x4b3cb645, 0xb2d4f734, 0xd8282845,
+    0x8d24986a, 0x67b07755, 0xf4218eee, 0x60740f17, 0xfce0aacb, 0x45309310, 0x75983bb1, 0x6ebcd50c,
+    0xc238cc8d, 0x7e54bdb7, 0xba9e2084, 0x8f9273f8, 0x1be344a2, 0xdc436cc8, 0x01830f28, 0x33bc9d8d,
+    0x42f7029a, 0x86d83daf, 0xe542f669, 0xf85befc3, 0x7e298802, 0xeaa41ab3, 0x3ffb5606, 0xabd0ed4e,
+    0xce8f3cfb, 0x7e78d409, 0xf23a22d3, 0x35299b9a, 0xf1ee6fb4, 0x0620f2d8, 0xcf5e868b, 0xa8475baf,
+    0x67950339, 0xf57f8c18, 0xdd77b80e, 0x767d866e, 0xa653fa3f, 0x685269ad, 0xdf6b9c42, 0x7ac1af89,
+    0x5d0ba06f, 0x2a8aa06d, 0xaf57e9f1, 0x2e859cf7, 0x337e3d22, 0x4c9c8222, 0xd9660c1c, 0xba3d800e,
+    0x0dfed2a1, 0x26ec6a79, 0x090f4e4b, 0x29e2ff3c, 0x5c014292, 0xa008dc9f, 0xe06d4c98, 0xae201cdb,
+    0x48fd51c2, 0x8501ba2f, 0xda5cd4ef, 0x9969f4d2, 0x72825642, 0x727adf15, 0x79f73d00, 0xb9002367,
+    0x094ed41e, 0x61324ad9, 0xaf8e912c, 0x7c89af88, 0x7a542e3f, 0x817ed2da, 0xcf96d1ba, 0x4550b9cf,
+    0x82b9a441, 0xa4fd62f8, 0x1a5cc01d, 0x9cbfc1fc, 0x85b374ec, 0x4245ba89, 0xf535deda, 0x04cde3b3,
+    0xce07e2d0, 0x1f7890e0, 0x8a7f6be4, 0xac71ac8d, 0x9134e824, 0x24300335, 0x4f9f5676, 0x73708821,
+    0xcad53e95, 0x6b4b1d54, 0x49a2e0fe, 0x1ad56f8d, 0x26036ce4, 0xca6925f2, 0xb6435dab, 0xd8a1c6e6,
+    0x5b4283db, 0x0a6fa4bb, 0x122edee9, 0x4b0ee006, 0x2ff0e011, 0x7a5c21bb, 0x9c7850eb, 0x65e11cc9,
+    0xf701d61f, 0xe5731399, 0x55061041, 0xd3aea2ca, 0x33ba43a5, 0x336003ab, 0xca310f06, 0x108a6d9d,
+    0x5266158f, 0xb2aa22be, 0x0ff560b5, 0x6d326a82, 0xcc7b547b, 0xf93582d1, 0xae2362d4, 0xa661d109,
+    0xd54b5a46, 0x82db1161, 0xa119e48a, 0x6ca7c999, 0xd66864c1, 0x66db1ed7, 0x811346cc, 0x9bd3b147,
+    0x73ea4d18, 0x3101a608, 0x58e0af52, 0xa3ad8ff5, 0xc3051f19, 0xb2f6b139, 0x4432ff53, 0x525c1129,
+    0x96fb5600, 0x69c01da0, 0x8c0fa5b8, 0xc0ce3c78, 0x6e778def, 0xcf269c63, 0xe4cfb159, 0x6d8ba3f9,
+    0xebc7b916, 0x30b11618, 0x83c9b57c, 0xb8cc9719, 0x1145fe0e, 0x664efd82, 0x9f23ad17, 0x9b6da17f,
+    0xd6f0f6cc, 0xf0255a59, 0x2d727bc7, 0xc244ef59, 0xfc46e293, 0xa769af19, 0x66a441e6, 0x74b92426,
+    0x404d10a8, 0xcb2ffbb5, 0x49827040, 0xdac36a1b, 0xd9690ad3, 0x07681842, 0xff7fd8b7, 0x96d2d9fc,
+    0xa0008813, 0x2e4a659d, 0x807bef40, 0x38e03c5c, 0x9a00d218, 0x1adfe551, 0x6ba0df23, 0x01f46dfd,
+    0xbdac6222, 0x036754f5, 0x4438806b, 0xcffe4cd6, 0x127d92d1, 0x07c81d4a, 0x3524022e, 0xb7047c05,
+    0xfc27fdfc, 0x163fff71, 0xaa7849d5, 0x0b5d7bbc, 0x8bf1dd75, 0x5e20315e, 0x910c08bd, 0xe9e0e791,
+    0x3a106d81, 0x05f75c18, 0x5c95d3e6, 0x97e06bcc, 0x07839626, 0x91f4991c, 0x9ae6e25f, 0xe121e9d7,
+    0x8b3b0643, 0xd1ac39f2, 0x5c8205f7, 0x01f46d0b, 0x59149c81, 0xdddaa19a, 0x1d080ac6, 0x761084f5,
+    0xff3c813e, 0x18741244, 0xe595680a, 0x66423803, 0xb1239596, 0x705e3ab4, 0x44bef275, 0xe2bbb1c5,
+    0xbdcc6228, 0xec97707a, 0xde40b478, 0x178ae038, 0xa0e6fbfd, 0x8c589da3, 0xd5616f40, 0x63bb7cce,
+    0x1199bbcb, 0x2c60b212, 0x289ebd27, 0x765d6069, 0xb73a632e, 0xfdaab1ef, 0xf74042d3, 0x646b0728,
+    0xf0082946, 0x99c5ab04, 0xb4a00671, 0xe98ece7d, 0x58d8c65d, 0x11da5da9, 0x09f0ff46, 0x1940cf82,
+    0x7a55a814, 0x52f6c97e, 0x403e05bf, 0xddc8fce5, 0x12744984, 0x11f9077a, 0x617e4615, 0xf447cf8d,
+    0xc1ed805c, 0xa9e2fe3a, 0xea46499b, 0x0520c9df, 0x5886b9f4, 0x7ade693c, 0x46c40226, 0xd21e8eaa,
+    0xa82c6794, 0x28ce57ee, 0xb4348779, 0x0ce5920b, 0x3a92c14c, 0xbd56b2ad, 0x6020744c, 0x0549b6dc,
+    0x5fac62cf, 0xf4b58f44, 0x215d4700, 0xe1a25f1e, 0x2299653c, 0x122e0209, 0x52bf1c89, 0xd2d51c5e,
+    0x177d0b33, 0x11f80ff6, 0x7e4a88e0, 0xbe312fd7, 0xd041e531, 0x118bd151, 0x7a8f5d23, 0x9e3093e3,
+    0x05e77066, 0x09ce912f, 0xd752a9fb, 0x27fa0d7c, 0x3915e331, 0x7ce083ec, 0x01539b06, 0x743833f8,
+    0x663907be, 0x505df180, 0xdd803dab, 0x8a40c11e, 0xef70ee32, 0x276ccd98, 0xa3c77b0f, 0x37eeb45b,
+    0x60a050ca, 0x48f242ed, 0x9c157817, 0x2f07c5ed, 0xe516fcae, 0x35241587, 0x1eec3f29, 0xd2928184,
+    0x80d55c29, 0x3d16232d, 0x24b4cc1b, 0xe4462ba0, 0x5163ba22, 0x00a75ea3, 0x994f0797, 0xb9ba3edd,
+    0x836b0a57, 0x4557725b, 0xcbbf4028, 0x526d66c7, 0x851b267c, 0xd7b35112, 0x6ea776b2, 0xad80eadc,
+    0xb44d4b7a, 0xc6889bfc, 0xd2e3f557, 0x1c2dc356, 0x9c687002, 0x82a07f60, 0xf0135e4e, 0x2271463c,
+    0xfd90f01d, 0xb4efea94, 0x5e82206c, 0xeffef90d, 0x4c17656a, 0x58c8c13e, 0x41298360, 0x15367247,
+    0xbab06761, 0x4e95e99a, 0x55b406aa, 0x816315f5, 0xbb3c6d25, 0x9da23594, 0x0bdf6988, 0x3a2c0966,
+    0x722575a5, 0x430ce614, 0xf08c1f0d, 0xc7eb021b, 0x1ad8c5e0, 0xa1d6e95d, 0xf11eae5e, 0x57858962,
+    0xde5b38af, 0x4606ae12, 0x160ac7ac, 0x7aa79c31, 0x57a4c18b, 0x3bc16dcb, 0x6fa89058, 0x468851ba,
+    0x36b2e171, 0xb3c54476, 0xcd631d9a, 0x85622fc0, 0xa8b53161, 0x7912d877, 0x4333178d, 0x1523159a,
+    0x47ac1278, 0x55694813, 0xaa03ad07, 0x3cae08b0, 0xe3fe0764, 0xb0fadb02, 0x6e1fabff, 0x68aa26f0,
+    0xf7a11dc0, 0xd8c9b2df, 0x983514c0, 0xb6b72817, 0x3922916a, 0x9d8c9519, 0x132546b6, 0xaf70ac3f,
+    0xf04aa2f0, 0xb26f6d27, 0x847bb593, 0x98abdf4b, 0x66d5ab5e, 0xf36a0361, 0x26bbfebf, 0xa19edf6d,
+    0x9eb4c5c9, 0xe918e9da, 0xa4b4d14a, 0x8a89b016, 0x15594148, 0x0ec08c11, 0x9b437045, 0x7d18439e,
+    0xf3455b2c, 0x7f0bc17b, 0x2619aabe, 0x4ffbd8a4, 0xfaebd00d, 0x378b236e, 0xbb700f08, 0x6eb7860c,
+    0x8380464f, 0x0800c09a, 0x1ece04de, 0x5f8de0df, 0x1378d314, 0xbf287808, 0x764145ad, 0x97746cc4,
+    0x2ba9c3b4, 0xba3963a5, 0xef7150ab, 0x3d1a9963, 0x3e74aad1, 0xc68034b0, 0x735805ec, 0x7ad11b43,
+    0x71ed93a3, 0xb650199d, 0x11e353a2, 0xd2010d9b, 0xf9b06ff3, 0x296fabbc, 0xa524d916, 0x2e04dbf5,
+    0x1f8de010, 0xbf08395c, 0x174936dd, 0x1db1a91e, 0x423844a2, 0x33b009f4, 0xfb487a92, 0x2a24143a,
+    0x62526b65, 0xc8887af1, 0x251d3789, 0xdc922bf8, 0x0c9cacc5, 0x1ca1b673, 0xf587a4cb, 0x909d2193,
+    0x9daf6d53, 0xcfaa8040, 0xa411325a, 0x50608ea4, 0x33e80d30, 0x777837eb, 0xaad3ecfc, 0xd81d7876,
+    0x782fe4eb, 0x35948163, 0x0dbcf87c, 0x79c99a63, 0x8e967ef2, 0xb1db8e8a, 0x7b27235f, 0x67fb319d,
+    0x819d7100, 0x084b7899, 0x726a3756, 0x04faf7b9, 0x6547c32e, 0xd4f726ca, 0x18cf5c36, 0x28bb216c,
+    0xd88ffeb0, 0xfa9fb055, 0xaa73cf29, 0x1e8bf6cc, 0xdf5910d7, 0x3de4252a, 0x783ae83f, 0xbb9ce2c5,
+    0xafe2333a, 0x17794518, 0x38508365, 0x34f4d88a, 0x37a3c479, 0x0288d1b1, 0x867d0995, 0xca15c121,
+    0x65abfcdb, 0x715a4022, 0x38230172, 0x502308b3, 0xc57348c7, 0x9e4da6e2, 0x4cd53751, 0x783dc5fc,
+    0x8ffecedf, 0x7e784b82, 0xa5c3fe36, 0xd99944b6, 0x2abcc9b9, 0xb4f0acc0, 0x429dc284, 0x41a971cf,
+    0xd948ea28, 0x401f635c, 0xa1afe898, 0xf7e2cfc7, 0x934a9546, 0x57caa46f, 0x173f3880, 0x5e42d290,
+    0x1332c1c4, 0xb9c46034, 0x3a6d13c1, 0x15927ffd, 0x1a9e3e71, 0x87681a79, 0xdbd584d2, 0xa0130476,
+    0xb0ad4085, 0x984548b0, 0x11d39eaa, 0x0c5da8f7, 0x20d50012, 0x39456c48, 0xa6d88fd8, 0x25624ca5,
+    0x38fa5aa0, 0x3a037839, 0x0a3ea9e6, 0xcb974d2c, 0x97849f75, 0x9fb1aea7, 0xf04b925f, 0xc81d3ade,
+    0xc462d5f5, 0xdf7b41c6, 0xe203e637, 0x624967b0, 0x940065b1, 0x6e693633, 0x72c51e05, 0xcdc07516,
+    0x19404f1f, 0x3ef17a3e, 0xd922d1b8, 0x90bfc32c, 0xdeffaf3d, 0x8c7ee8e2, 0x9f2cd95a, 0x5f67147a,
+    0x5453124f, 0xb398d4b1, 0x20711ef6, 0x2fb00227, 0x27325420, 0x06bf837a, 0x0fd07a1d, 0xa154eeea,
+    0x661a06ac, 0x0407f93d, 0xc91859cb, 0xa804d3ba, 0x9ae6aeee, 0x15535565, 0xb23f931a, 0x7958cd6f,
+    0xffd4437a, 0x792a457f, 0x10c952e3, 0xa2ac11eb, 0x0ddca2f9, 0x4b9b518c, 0x465dac7d, 0xba1019c1,
+    0x18a472b7, 0x83939797, 0xb63c0698, 0xbf2b7e30, 0x62457143, 0xb968d111, 0x180ab366, 0xa748d902,
+    0x25f388bb, 0x58762476, 0xacd346f1, 0x617d2476, 0x49394829, 0x9675c1c0, 0xacfa6847, 0x46b1e592,
+    0x9721ec96, 0x58d43572, 0xb7bff84b, 0x79f740eb, 0xb4a95d00, 0xd0913f20, 0x828564bc, 0x1b622c72,
+    0x8947f4fa, 0x722f2f5b, 0xd9af0571, 0xb647f76d, 0x35d43639, 0xa4674753, 0x27d26a3f, 0xec46cdb6,
+    0xb7e82649, 0x3641c2bf, 0x372c1307, 0x27c8e69b, 0xe81dad38, 0x2f4948c2, 0x1b62b4ef, 0xfda5a39c,
+    0xc0a08bbd, 0xa73b8f3d, 0x004dab5d, 0x0e2bce60, 0x060a94c2, 0x77ca08e6, 0x873859d2, 0xebff53f7,
+    0x4312acea, 0xdd6df5b7, 0x79355ed4, 0xd6fcac4e, 0xf739d83f, 0x91079cec, 0xc386b00b, 0x497fb76b,
+    0x0a67ce01, 0x0a0e9ed7, 0x3f5d27e9, 0x37cf553c, 0xc295786a, 0x5be56786, 0x92b4409d, 0xff47f1c2,
+    0x8d526543, 0x4ebac8ad, 0xe08ac918, 0x23a7b9ae, 0x443dcae5, 0x40b4062a, 0xff277029, 0x0ad9d947,
+    0x4c5875c1, 0xcc12fc37, 0x3b38f03a, 0x35ef595e, 0xc2945e8c, 0x74a53c64, 0x1d820246, 0x3718577c,
+    0x9e6f1d0b, 0xae266243, 0x2ecd5bd5, 0xe5312a8a, 0xbdd5b0d5, 0x140b1e36, 0x34b5be12, 0xe2fb9af4,
+    0xf392fe6c, 0xbe2c0bbc, 0xd42b248a, 0xc4797c71, 0x4dd1a4ad, 0x211bda4f, 0xc8f5145a, 0xdb89a156,
+    0xfe483fbe, 0x63fc440a, 0x28952bae, 0xa5f9c8b2, 0x25b7069e, 0xb3de2ab0, 0xd171b0f8, 0x62f5417b,
+    0xc2c4d9a1, 0x46a7c5d5, 0x80b5cd92, 0x0c976e79, 0x67f2ef1d, 0x2db1c9e7, 0x32984cb0, 0xeacccd2c,
+    0x7602ac3f, 0x8bf328d3, 0x6e55a268, 0xde594c03, 0xb84d67fc, 0xb8ce42d4, 0xc25fdb73, 0x1069acbd,
+    0x61d2572f, 0x53dd9e0b, 0x3249a625, 0x439a27e3, 0x59507277, 0xd3e44e5f, 0xa57e3d73, 0x853f8133,
+    0x82e450d9, 0x215f0c57, 0x2d7f4e29, 0xa81b160f, 0xf17a91aa, 0x7f65184d, 0xa21f1b6d, 0x225863d6,
+    0x4ce19486, 0xa60a3e06, 0x34e887b3, 0x963a9ec4, 0x1dd7d035, 0x424635eb, 0x0f6584c5, 0x6017eee0,
+    0x4a6966a2, 0x54fbaf9f, 0xc473f8bc, 0x5bfd82b8, 0xdd4c808b, 0x5325b174, 0xcd8e477b, 0x55adf060,
+    0x7a540cde, 0x716f7966, 0x0dc838e6, 0x32038133, 0xcdecb5ac, 0x0fc2fee5, 0x55dd21a7, 0x7774250b,
+    0x17cec197, 0xe5b168f1, 0x413571f1, 0x33f33857, 0x2d3ebd55, 0xe0490242, 0xc291d119, 0x923185a2,
+    0x5ad19054, 0xe6c0876a, 0x2633c47a, 0x5c16d120, 0xaf313142, 0xa5924bd4, 0x59880ee1, 0xefb60625,
+    0xfaf4a093, 0x3ab6a5cd, 0xc278f0b9, 0xda568ca6, 0x7aed521f, 0x3ce88206, 0xcddcd05e, 0xb46b904e,
+    0xedb41a7d, 0x91b75633, 0xd9e1f242, 0x10bd303b, 0xb828c94a, 0xa7c02f55, 0x4f82fbfd, 0x09b304ce,
+    0x8cb31de7, 0xe6c29c1a, 0x4404114c, 0xafde6603, 0x65e47b7e, 0x2918cb53, 0x82a15e14, 0x193d3aa0,
+    0x052b3bba, 0x6590b0c5, 0x4da7f928, 0xa5f9bce0, 0xd26075bc, 0x3a267386, 0x24e795b4, 0x8e1356dc,
+    0x43682fd2, 0xb6047373, 0xc1f7677d, 0xb57fab82, 0x1147aaa0, 0x09c4730c, 0x89c7a524, 0x8f8de546,
+    0x2390d4c1, 0x47fffded, 0xb384fbcd, 0x82ae9643, 0xd09c77ba, 0xdb77e361, 0x813e91af, 0x9a3ab3c7,
+    0xcc3ae653, 0x9f47f427, 0xfa43688f, 0x9430b9ef, 0x97103307, 0xd468db96, 0x341225a0, 0x2c6aaa56,
+    0x4e755280, 0x47e9c69a, 0x272cd3d2, 0xf469eb12, 0x80cd5c40, 0x905c7c65, 0xcf15f546, 0x698d8c48,
+    0xf8d9d021, 0x8630356d, 0xfd6bb65f, 0x6bbdbf94, 0x2af00c58, 0x3e89cf2b, 0x5a3c025f, 0xa96014f7,
+    0x363d3cf5, 0x03e3768d, 0xfae00e49, 0x21721002, 0xb3d80ebb, 0x5b5e5ddd, 0x7dcc05b8, 0x32b68913,
+    0x3c9aba18, 0x950b6aa1, 0x7727e238, 0x3a4652a8, 0x6ea98d6f, 0xdd1f6daf, 0xb5b0f842, 0xb5951326,
+    0x00000000,
+    0xa0480591, 0x23a80db6, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000040564819207303340847894502572032 */
+  { 0x00000000,
+    0xfcef892f, 0x273d1152, 0xc82412be, 0xcc07c326, 0xc0391aaf, 0x6ae9a481, 0xd62d2546, 0x3e56c60e,
+    0xb96c36e2, 0xb6eb0a91, 0x2e098d9b, 0x8fae124a, 0xe600c9c5, 0x123ad3fd, 0x8d4deed7, 0xb64cd63d,
+    0x9aa02f8e, 0xe99a5a68, 0x68061a60, 0xf1006e33, 0x7c7afb73, 0x704203e7, 0xbe88aaa5, 0xba79c843,
+    0xf5bf7b2c, 0x76fc60c1, 0xa96aa8bc, 0x47e30621, 0x5f6574ac, 0x43811d29, 0xaee03a83, 0xf3c3faed,
+    0x2e9bb567, 0x3d0371d5, 0x892b2ca8, 0x83d49df2, 0x8fad3e36, 0x6e448c61, 0xb386b30b, 0x626cfabe,
+    0x8eef465e, 0xf749f99a, 0x5a676d9f, 0x25adc5b8, 0x5b76c98f, 0x47bf8f58, 0x8d578ae9, 0x636f3a84,
+    0xb9b2cab3, 0xb189674d, 0xed76bc22, 0x92448a75, 0x27dd5a9b, 0xff84c1f4, 0x28bb4e12, 0x6ea67a4b,
+    0x96aee2a5, 0xe7c6d9b0, 0x7c5c1569, 0x083a732c, 0x3cf0b19f, 0xd78fb8f2, 0xe7bd8f2d, 0x72352af7,
+    0x00d7f19b, 0x34ec1fd4, 0xac4b17b6, 0x4323e80f, 0xf907f04c, 0x760efe35, 0x32c538bb, 0xd08406d6,
+    0x9d44cadf, 0xf3213f4e, 0x145aa30d, 0x27728938, 0x51af8f6c, 0xa5a324d9, 0xf4f87be5, 0xb44a82b2,
+    0x0b1211df, 0xacffc509, 0x9eb1fab9, 0xc417c3c2, 0x11945e99, 0x8a420a34, 0xf2157683, 0x8b16d2dc,
+    0xc31137c6, 0x629acac2, 0x78bf416f, 0x47149958, 0x1d07cfd9, 0xa869c704, 0x03d6e1ee, 0x073c3b57,
+    0x1e6fc3c1, 0xf6d2bda6, 0x9e584f79, 0x15f07e9d, 0xaeb89e35, 0xf5fdad9d, 0xa6393c33, 0x9911730d,
+    0xd1adc36c, 0x81aa87a9, 0x190949ce, 0x478f6212, 0x3b166676, 0xc10c5509, 0x2856f4c0, 0x250a6dc1,
+    0xe0d6a0d3, 0x14c19494, 0x643103a5, 0x8eb43219, 0x219e2d3e, 0xa6ae020f, 0xf71437f2, 0x007fde3e,
+    0xdf64ad48, 0x94cab105, 0x07d19afc, 0xb105cac0, 0xede0f54f, 0x910dd188, 0x093be5cd, 0x02f368c2,
+    0xee6eca5c, 0x949cb4e1, 0x9810dc73, 0xae5f75ce, 0xd4171d80, 0x35ecfebc, 0xc2b702c3, 0xc88a01fb,
+    0xfe7b2da3, 0xb1ee123d, 0xe1d00492, 0x11aff59c, 0xe52cd714, 0x59e4bf22, 0xa658a414, 0x30226220,
+    0x1d066636, 0xe0f9b2e7, 0xf241d06e, 0xe21a6f22, 0x7eca2d2b, 0xf01817b6, 0x88506b62, 0xc33ab6b1,
+    0x99b32b9c, 0x3be7f58a, 0x1bc307a6, 0x576dfa79, 0x5cbe799c, 0x76d54f4a, 0xdd0f1bfa, 0xac3fe552,
+    0xb453fbad, 0x0a24fc01, 0xa92101a6, 0xd89c3412, 0xdd74a547, 0x99e49a80, 0x2ae73d72, 0xec4e50a9,
+    0x79815c2d, 0x0e9b949f, 0x7f820b4d, 0xddeec644, 0xf5e46732, 0xf450736b, 0xa162871b, 0x17dafeea,
+    0x7c2f2128, 0x5b2e587d, 0x1df69a4c, 0xbb9f3587, 0xc75e60d9, 0x9cc154b6, 0xb6d60281, 0x434d3684,
+    0x7d40715f, 0x2efcbc6b, 0x0ae4ba3f, 0xb5f675ee, 0x88baee12, 0x74a56d4a, 0x40b49310, 0x7fee0896,
+    0xe16dcaa4, 0x47cd41b6, 0x415ba09d, 0x47d496cb, 0xf403089e, 0xf47937c5, 0x3ec4981f, 0x58f2a1fe,
+    0x751c9809, 0xdc928cc1, 0x8a8ca580, 0x4cf28758, 0x5985dd94, 0xeb154e90, 0x62bbfbda, 0x9753817f,
+    0xa246f627, 0x32f48b14, 0x5af317d7, 0xcf564aac, 0xdd34373d, 0xadfba67a, 0x274b081b, 0xdfdf2929,
+    0x119f0fbe, 0x52497cb2, 0xb92c2aeb, 0x0c2710c3, 0x4816bc98, 0xaaeff694, 0x2be69d99, 0x661d41fd,
+    0x9b5fe722, 0x416918e4, 0xe4cb907e, 0x3d884f7b, 0x94f3d045, 0xb9a66ae8, 0xea56dd3c, 0xf4810a66,
+    0x984da51d, 0x4a1d322f, 0x49e101a8, 0x0ce691a7, 0x266a6ed3, 0x64823641, 0x34514089, 0xd1b72cb1,
+    0xf99231e1, 0x37922d68, 0xcc9731d6, 0x86fad24e, 0xadd592db, 0x1d4dca31, 0x5b073c2a, 0x118aad68,
+    0x8e935ee9, 0x3a99e84e, 0x0e7df06f, 0xf5dba602, 0x7a3d3c19, 0x200e0077, 0xb4c57034, 0x75174756,
+    0xcdb14c6b, 0x2adf2a28, 0xe484a60f, 0xb25cad16, 0x932789c3, 0x3e5cbe11, 0x33f49601, 0x515b1708,
+    0x3e4453b4, 0x0d41a23b, 0x8d8646d3, 0xc3238e0c, 0xd4e2a1b9, 0xba9a3ec5, 0xc8c91cbd, 0xb1b62b09,
+    0x14366d4b, 0xb1924cb6, 0xfbec4ddf, 0x819184e9, 0xbd75e36e, 0x28188b4a, 0x093ac44f, 0xe561be62,
+    0x3c0db1d0, 0x56bbbfba, 0x3d2dda7f, 0xb7f710ca, 0x46c022e9, 0x1d0d3f41, 0x2d48c674, 0x4a2f484d,
+    0x85baf5ad, 0xfe7f8bd7, 0x3727ae27, 0xb5781569, 0xf9d123a9, 0xee89e59b, 0x8288f1de, 0x7a217972,
+    0x811ae921, 0xd17d5b2e, 0x3946e46a, 0xbb34510c, 0x9273188d, 0xa61d07b1, 0x20a0acb7, 0xbfbcebe9,
+    0xe685f65e, 0x5d79012a, 0x7c7c0d28, 0xf5322dc1, 0x69f7ebc6, 0x05203cc9, 0xc4d914da, 0x212a3e35,
+    0xc9d6a5ff, 0x43f7dfc1, 0x04b71a0a, 0xc73dd0d2, 0x1853d5e9, 0x378fc8ba, 0x6fdddaa1, 0x6a1199bb,
+    0xc36f4b44, 0xb7c054c0, 0x8cd89f97, 0x62906475, 0xb1c97bc7, 0x6fd26d9b, 0x32504d74, 0x8b296dda,
+    0xd7d77e91, 0x3f37a752, 0x3980881c, 0xe0144d95, 0x3fab4f8c, 0x2a87d4bf, 0x75bb8fa4, 0x1797687e,
+    0x18e10492, 0x8fbd06d5, 0x1f390aa1, 0x48caf014, 0xabb1ee2e, 0xbc78c0a4, 0x0304ece2, 0x6b7aeb0f,
+    0x4de53bec, 0x641d5a00, 0x2c03c40d, 0x0b886740, 0x605598d4, 0x8d8d4b64, 0xc436aca6, 0x83854791,
+    0x28c9532f, 0xfc22d038, 0x3bb8274b, 0x560eb6e5, 0xe7c704d4, 0x2086f4a5, 0x96554f11, 0xd7118578,
+    0x9ac7e0f1, 0xaf96f93a, 0x922822eb, 0xaf6a2384, 0x610a1b33, 0x059c0724, 0xd2f71555, 0xa4ae0bdb,
+    0xa49e267e, 0x668c05e2, 0x36001537, 0x8151d198, 0xf5393bb8, 0x911c381b, 0x2a55d3e0, 0x0a3fa757,
+    0xf9f9b4b7, 0x2c832836, 0x3790a13b, 0x547407fc, 0x59a0cb73, 0xa7b3a576, 0x4a6894de, 0x445b055e,
+    0xdd9c43c0, 0xdfda9216, 0x31a0bbb3, 0x2f78227e, 0x4ec87114, 0x00825e37, 0xe1f4949a, 0x032d5f0d,
+    0x587ab88a, 0x2e77eada, 0xe2fe0fd0, 0x2f10a3ad, 0x2e46bbbb, 0x044b0aed, 0xb9951a14, 0x2245285b,
+    0xbc28d9df, 0xc5a376b8, 0x32ef2f16, 0xb67edd11, 0x2bee9cb3, 0x25c30888, 0xb95e585a, 0xd16e54dd,
+    0xa934aa38, 0xb3cffc07, 0x1998f274, 0x2ec3bdff, 0x92348cd8, 0xc8f35eff, 0x7617cf54, 0xa85c5c36,
+    0xa94fdf8e, 0x7bee4e4a, 0x4825cb6a, 0xdabc1fca, 0x003bd04f, 0x60e6886e, 0xe25b4ee3, 0x5a0b745b,
+    0x5adefc3e, 0x7501b46a, 0x924e4795, 0xd4ea1d21, 0x8080868e, 0x7d6db257, 0xa350758a, 0x2b37f113,
+    0xc5698d2c, 0x5d33b1ef, 0xd6d7e378, 0x06ce9c82, 0x28cd7e33, 0xef8ae3de, 0xbb0e0fd8, 0xe4435ac0,
+    0x67e4026d, 0xf22b1f30, 0x10a7b765, 0x071dff8f, 0x62cb31f3, 0xa89779fe, 0x8f433020, 0x8f331ae0,
+    0xc3ba5592, 0x7edbd006, 0x3134ddd8, 0x69b53309, 0xaca88cd3, 0xf4b33928, 0xba67f6a4, 0xbc4154fb,
+    0x8a9488c9, 0x51de5a4c, 0x2c172659, 0x63b9ae0c, 0x74e4e400, 0x3c7b3fd3, 0x90395604, 0x870c1349,
+    0x8f51bda4, 0x6f38777c, 0xae2e654d, 0xe103b076, 0x9270bbf5, 0x5b805203, 0xf369863a, 0x2d3d0d96,
+    0xb7d0027d, 0x6ca6a3da, 0x415d0187, 0xb4b68a9e, 0x6b0ff2e5, 0x83c5cd27, 0x8f47c5d8, 0xd45cfa31,
+    0x0c5365d7, 0xec85a847, 0xb14ceef7, 0xbc8deb8d, 0x5e5b9983, 0x091cd59e, 0xe2fe7999, 0x9751c014,
+    0x49883a74, 0x6fd52e42, 0x27df0da1, 0xdb313fdf, 0xdd526a2b, 0xd66fbb5c, 0x1e5739cb, 0x4efdc88f,
+    0x114d7a18, 0xf468c303, 0xb9cfb84e, 0x3bf17468, 0xc961bb53, 0x507e44fd, 0xe85b8614, 0x74fadbe5,
+    0x7306bb1d, 0x1651cf5f, 0x8396825a, 0xd753d5b4, 0x95f28404, 0x968729c7, 0x5d7d8369, 0x48f51a1a,
+    0x0a275589, 0xb56bad3b, 0x68b0b215, 0x8cec0f0e, 0x7ef031de, 0xfcce0b84, 0xdd8d576a, 0xd1220a00,
+    0xe8921372, 0xd8a833d6, 0xe0e5c0ef, 0xf260555b, 0x48101a93, 0x6ae9e942, 0x3f1b3b57, 0x0f480366,
+    0xcd396943, 0x7efd5a6f, 0xae0604de, 0xe831105f, 0xf30bb82c, 0xeb8f3512, 0x7ffdedac, 0xdd0045ec,
+    0x8bd354fd, 0x04d20499, 0x10f973c7, 0xd36f497d, 0x23b99f7c, 0xce86c6c7, 0xc97f19cb, 0x3d4e9822,
+    0x834becba, 0xcb653241, 0xa6b68bca, 0xfaa768a6, 0x80af9e83, 0xb519b1cf, 0x2ba08cbc, 0x5c594153,
+    0xaf46c7a6, 0x7745bb06, 0xf6820b70, 0xb2142312, 0xa68a0547, 0x0cf49638, 0xb6ca8e96, 0xea1b32f6,
+    0x4361468b, 0x392f52b0, 0x4067c49b, 0x1a10aad5, 0xdde5a31d, 0xd8ba55e1, 0x22fc23d6, 0xe3f757e1,
+    0x4b245f37, 0xdf86edda, 0xfd22efb7, 0xc514f95d, 0x0cc5679c, 0x3b7244ae, 0x262a9d0d, 0xc58d3c6c,
+    0x90bbf066, 0xbf2c7143, 0x843fefad, 0xf263368c, 0x1ce89f15, 0x820eb0b7, 0x59b1456f, 0x3974fc22,
+    0x09d5ab88, 0xf435e6a7, 0xa8979955, 0xe9e69b36, 0x98a064f8, 0xc4f7312b, 0x5d40ce13, 0xe6fbd300,
+    0xb3893bff, 0x7710bfd5, 0x094797d7, 0x316b1760, 0x1b436e73, 0x81e2724d, 0xce33c1e1, 0x7f017e24,
+    0x2aa876af, 0x08872c37, 0xa2b56746, 0x3de6dbf8, 0x7b2c6fcc, 0xf399383e, 0x2ad3321b, 0x06972485,
+    0xdf84ef05, 0x2d180959, 0xe82693eb, 0xe04413df, 0x1045555d, 0x7db018c4, 0x74d19388, 0xc0f3e08c,
+    0x964995fd, 0xdcba97e1, 0x480a223b, 0x1caa76a4, 0xd190ff63, 0xeb32569b, 0x9e465e08, 0x0bc05d4b,
+    0x866678c3, 0x6872ca0b, 0x772eb6a8, 0x792ed1b7, 0xa0698ba7, 0x9ced6b78, 0xcb5e0b08, 0x624d0d97,
+    0x058b0427, 0x6e5ff414, 0x061879cf, 0x074482bd, 0x0302bd25, 0x7a8a0fbc, 0x78b919b8, 0x380ede51,
+    0x2af367bb, 0x1be39b37, 0xd37ee8ab, 0x804967a4, 0x2457b0b4, 0xccca7fa2, 0xa3ba04e9, 0x05b93d93,
+    0xeb4d9bba, 0x1590aa58, 0x92ca0577, 0x7f910657, 0xbe240b82, 0xdc51d6c9, 0x8da261fd, 0x63379234,
+    0xcd913c21, 0xd837bddb, 0x7227b9ac, 0x9558aa39, 0x91d060d5, 0xedac0477, 0x6508eecd, 0x7bca56b0,
+    0xebde391a, 0x7351bde3, 0xeec58b90, 0x9924ec77, 0xcfc4097b, 0xb41ef325, 0xb91a0a4a, 0x71f8a811,
+    0x5dab29da, 0xcc43b174, 0x6eb4c3d8, 0x399c6eb4, 0x1421cfea, 0x105c75bf, 0x02bd19f3, 0xd63f019c,
+    0xd47bd17c, 0x5e5cdbb3, 0x8368bf57, 0x213ff7e1, 0x73c18565, 0x82ea9631, 0xa693c609, 0x3befc69b,
+    0xbe0ce6e6, 0xd11d787d, 0x53fe4489, 0xe5865f0b, 0x5b9f7b84, 0x5244f843, 0x79b6592f, 0x6d5eeffe,
+    0x5d0b2e9c, 0x0a6c36c4, 0xb564a6bc, 0x31e8c622, 0xedfff09c, 0x30327f1e, 0xc983f828, 0x330c5217,
+    0x1dbb6d56, 0x5ea7e566, 0x7c14f798, 0xa889f4ef, 0xba576ea2, 0x1ff7943c, 0xcfbf5fc4, 0x1b55b06a,
+    0x3ea9fbe3, 0xe242b1f1, 0xda49cbed, 0xcc00d561, 0x001a02d9, 0xae7ea0a9, 0x89f7c94b, 0x164ccdd5,
+    0x066dc7fe, 0xfd0c28fa, 0x5e484688, 0x60355260, 0x9af9cf85, 0x67f7631f, 0xc9a424f9, 0x6463d4ff,
+    0x8a105216, 0x2bd16607, 0x1731b793, 0xef5ce011, 0xb3f97bdb, 0x1b722d8d, 0xbea8acac, 0xecf7a3e8,
+    0x68e325d1, 0x8802cb53, 0x6cb9528e, 0x9a5a1fa1, 0xe610c99d, 0x6aee6f59, 0x41eed235, 0x8315f793,
+    0xa7a2dc90, 0xdad3cd8d, 0x50092909, 0xe8ea1434, 0x20f3e06e, 0xb56c4a91, 0xe45b344e, 0x7c41268a,
+    0x5f47eed2, 0x11b08fe1, 0xb55d9c4a, 0x8e2697bc, 0x4fea7d97, 0xf6d01b4e, 0x3f04a230, 0x5c3ddade,
+    0xe353a83e, 0xc5ff9fd5, 0x51999d84, 0x43f30f26, 0x8e3ae696, 0xeac01983, 0xf0865357, 0x05b94fe6,
+    0x016b91dd, 0x8b63a96f, 0x9fdcf74b, 0xbd924635, 0x056176ed, 0x9cb3cd25, 0x00614086, 0xd0bd1af0,
+    0x8831cfb2, 0xe32cc261, 0x638b991e, 0xd710c8e5, 0xba1fbee2, 0xbb44b7c3, 0xa5b571a9, 0x0ae718e2,
+    0xc612416a, 0x35d3193b, 0x746285a8, 0xd4257d72, 0xda41ad07, 0xf8615027, 0xbe33e7eb, 0xfbb7492d,
+    0xf3d12188, 0x9be9097b, 0x5c41810a, 0x03d0f34f, 0x88ada629, 0xe1285698, 0x2f11b8b5, 0x6ed3c59c,
+    0x0fd5e644, 0x88773e78, 0xc04f99e4, 0xb1440fd2, 0xf67bbd6d, 0xe4acb0aa, 0x5fa2c7c5, 0xfba98d7a,
+    0xa697fd8b, 0x0b8b6964, 0x17283d5e, 0x86684793, 0x73ce808b, 0x7d5a1c52, 0x1ab8a19e, 0xd45e38d4,
+    0x2ac02ee3, 0xe508d6c2, 0x7469d0a3, 0x570e57e5, 0x11c5bd49, 0x224ae4eb, 0x1c747641, 0xfd881edf,
+    0xa3746cf9, 0x91d237f2, 0x732c8a77, 0x28e351f0, 0xf03b43f4, 0x73109738, 0xc2280cf2, 0x79b34703,
+    0x82fc77a6, 0x3fc8ffe2, 0x69afcc64, 0xb24dcff5, 0xe680cc0d, 0x31b4bd26, 0x4f90679f, 0xf6990314,
+    0xb820cf86, 0xb5075500, 0x0fd6b5f7, 0xa37b26f4, 0x993ba37a, 0x47aac870, 0x295cd4dc, 0x4719e252,
+    0x27db45a4, 0x1cfdc90b, 0xeee3e7bb, 0x53186e21, 0x59369d6b, 0xa6bb7547, 0x6ed37155, 0xe47cbfba,
+    0xbf55c22c, 0xfe271ded, 0x6e34be01, 0x00120f23, 0xb9f9edc1, 0xcde0b5af, 0x3fa41bfe, 0x1563fd9b,
+    0x9ba1cd8d, 0x1670a874, 0x747f5557, 0x08706493, 0x10051a70, 0xfbd2f611, 0xfccfb13a, 0xb58eddd7,
+    0x569e873d, 0xa5f8dff8, 0x2c896e16, 0xa7827fb6, 0x6bda4872, 0x17e201ec, 0x055d5643, 0xd7be015f,
+    0x0f24cee9, 0xb39af193, 0xad078756, 0x2efc39cf, 0xcb5494b5, 0xc7159a3c, 0x5d9ec388, 0x3e0b1d0e,
+    0x64e16387, 0xccaa04f3, 0x603dc5f6, 0x080977c2, 0x1236fbe9, 0xe01d3766, 0x2b9edba5, 0xe1891ecb,
+    0x43482e1b, 0x7348c726, 0x58eb17b9, 0x3b08f6a1, 0x5df16d9c, 0x1c089013, 0x1ffe2681, 0x5994eff6,
+    0xf3acfd9b, 0x94090f1f, 0x361e7d10, 0xc7933cec, 0x7300449d, 0x581b620f, 0xd0935026, 0xb7ec7733,
+    0xfa80c80c, 0xa02bb527, 0x0cbdb969, 0x79328297, 0x10659c50, 0xf1a02f5b, 0x32cac0ff, 0xa9c7a263,
+    0x9cebc8e6, 0x31b016a5, 0x7ca7adf0, 0x895bb724, 0x45db4ca4, 0x541f8201, 0x143701c3, 0x0f04f726,
+    0xc6386880, 0xdc4c0201, 0x6bfdf6a1, 0x808a76e1, 0x5ee704db, 0xfad052be, 0xab67b909, 0x72099410,
+    0xe7e767ec, 0x8bdaa19e, 0xf10f3f1b, 0x665a47fb, 0x8a249b40, 0x9c689b48, 0xd3048029, 0x0cf29f13,
+    0xdeb6b565, 0xf2e5d3f0, 0xd8e11d58, 0x2084ec1e, 0x6c8e285f, 0x75cfdf4b, 0xc36dfa1c, 0x8b5282ad,
+    0x3f7032e0, 0xaefdf581, 0x5a90c0bc, 0x2a1e0577, 0x814ea28f, 0xc351b481, 0xb481000b, 0x70a0b001,
+    0x2cab0b0a, 0x750a8b32, 0x0b1cd11d, 0xb46d1c13, 0x7e9a8e70, 0xce19a5bf, 0x5259561a, 0x2c263cc4,
+    0x89058867, 0x37fb4e5a, 0xe491fd67, 0x5ee74578, 0x2421ba8b, 0x1e75e6b9, 0x17015342, 0x8769180b,
+    0x0082a023, 0x9c2934b6, 0xdf8dfc40, 0x3b1a4f33, 0x761abff3, 0x428822b5, 0x85d5d68b, 0x1a9f01c6,
+    0xc9408434, 0xe7ce3a91, 0x5f4b91af, 0x396c6ca4, 0x7c2b068a, 0x431dd612, 0x303b3427, 0xce989be7,
+    0x9896a797, 0xaa2de06f, 0xb31aca04, 0x43c645cc, 0x6a2d5757, 0xa2918afd, 0xc57cb735, 0x88d4cb98,
+    0x06a67285, 0xed3a5825, 0x816550f8, 0x2bf1f7f8, 0xe132320e, 0xcbe73f9b, 0x6862a312, 0x98747d1c,
+    0x00000000,
+    0x502402c8, 0x91d406db, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000020282409603651670423947251286016 */
+  { 0x00000000,
+    0x8d8454e7, 0x9a533357, 0x36eb2c9f, 0x7bfffb6e, 0x64196367, 0xfac40cee, 0x8944af79, 0xd7023980,
+    0x8469f952, 0x9a18b2b2, 0x2066372c, 0xb58750ea, 0xb873e62b, 0x43779d70, 0xff647cdd, 0x7d3b7f93,
+    0xefbfbec0, 0x97a263d5, 0xeb6117c1, 0x398db4bf, 0x5dbbc921, 0x29d0bdcf, 0xe07574eb, 0x4520ed0c,
+    0xd6e5d968, 0x47ab9836, 0x20b25b84, 0xf3f9fe60, 0x01404173, 0x7047f9bd, 0x61539ec1, 0x8ec53282,
+    0xba4e74cd, 0x176ebf62, 0xdceca776, 0x487a4949, 0x1dc9d68e, 0x46fef913, 0xc15378bd, 0xf69d8f43,
+    0xe569f9f7, 0x76c9a253, 0xa0dea1d2, 0x0ff19d88, 0xcafadb80, 0x817c7a56, 0x0f71d6b2, 0x6d53a1c0,
+    0x609bf885, 0x5d9ad479, 0xa4a53ec3, 0x97acf27b, 0xd8d59bed, 0x2dffaa67, 0xb2edb6c9, 0x3adf528e,
+    0x3e7cfdec, 0xc01e6422, 0x158bda54, 0x703c23a4, 0x50cf4821, 0xf3a7ce05, 0xcaa484dc, 0xa875d601,
+    0x0465cb96, 0xbcfb2bf9, 0xbfa76dd3, 0xd63d3998, 0x2395b55a, 0x45ed13f7, 0x47ebfc2c, 0xc47f6212,
+    0x8fe405b5, 0xee59a26e, 0xd3605617, 0x55b0845b, 0x656ca6d5, 0x44f3d9e3, 0x89d31eba, 0xc8850bbe,
+    0xe5f203c8, 0xea327d19, 0xcd0ed95b, 0x0633928c, 0x2856def5, 0xb53f581b, 0x792e0f1d, 0xe28a46e9,
+    0x3997e942, 0x6e5289a8, 0xce2c2da3, 0xdd4187ea, 0x9b8b1417, 0xda3c5d00, 0x65547795, 0x3ae14759,
+    0x7334b1ee, 0xc7d13c71, 0x0963bd11, 0x19465df9, 0xb451788f, 0x7afbe1d3, 0x59a357f2, 0x5ef4e827,
+    0x99b4b2d8, 0x890da75d, 0x4873ba13, 0xacfadf03, 0x50cb94e1, 0x6ac2f15f, 0x4cdfc71f, 0xa7421a21,
+    0x91e06c63, 0x2b7d521c, 0x784e3d0f, 0x77689be2, 0xdbf0f656, 0xb50bac3e, 0xd7bea2d7, 0x08d78da3,
+    0x23107332, 0xbe9d68f8, 0x74bc8288, 0xf07de083, 0x34e9f06c, 0xe60bdb95, 0xe588ddc7, 0xa9a0e4e0,
+    0x6aca505b, 0xc0bd8a4c, 0x64b31424, 0xb56d0992, 0xf0eabb4f, 0xfc04092a, 0x747a0ebf, 0x0d42819c,
+    0x55b7ea6e, 0x94cb0330, 0xd1715831, 0xc5e95285, 0xca0af2f4, 0xf0ffe9b8, 0x5d7abedf, 0x6a65bf8c,
+    0x34677f6c, 0xc9a3be10, 0xa7a571c0, 0xf98e8727, 0x03ca6302, 0x46b62b65, 0x8e8ffec8, 0x1e868755,
+    0x2f0b701d, 0x8fb9f62e, 0x86a3b9a9, 0xf25eea0a, 0x07fdc7d9, 0x14ed2570, 0x5a593b4e, 0x3058965c,
+    0xf924959d, 0x177c596a, 0xb02c3bb6, 0xf59652ff, 0xf2a800cd, 0xa48aa3b8, 0xf49f1b14, 0xece9e985,
+    0x020fe918, 0x0ac92746, 0x5fe130d9, 0xd0760829, 0x8e9fd646, 0x9b1801de, 0xbb85ad58, 0x78dbced3,
+    0x71457d5f, 0x54d973a7, 0x87229962, 0xa6bc4ed1, 0xb760da7f, 0x0b570121, 0x668d009a, 0x39ddbd35,
+    0xc3767061, 0x89d43e8d, 0xbc564e37, 0x26a11f1b, 0x907ee7a4, 0xd5dc7f81, 0x0d685630, 0x413c9fae,
+    0xc29a4ec3, 0xb5f567a7, 0x118d667a, 0x9046b335, 0x022f9f1e, 0x6863ad09, 0xafc478d4, 0x2b68a092,
+    0x2f68b18a, 0x8a6fe064, 0x5956454f, 0x135a07b6, 0x429352e5, 0xe56e50f6, 0xfd6013ee, 0x46916bfb,
+    0x29b5f3d8, 0x22aed23a, 0xdddc609f, 0xec9d5a88, 0x10106783, 0x35485b79, 0x715674d7, 0xc8dffeee,
+    0xf31fb1ff, 0xfb7ec29b, 0x7daa7c64, 0x2c5d058d, 0x0687bc01, 0xa209715f, 0x9bbc6f6d, 0xb213569b,
+    0xe463b708, 0x333eb7f3, 0xf5598e73, 0xb216dc08, 0xe91fd119, 0x00413a0d, 0x60b87bbf, 0xfaa36ada,
+    0xa50f6005, 0x1e716514, 0xd17f726e, 0xad69e0fe, 0x2d017292, 0x7d936aee, 0x1bfea737, 0x169c0f0b,
+    0xf1f0efdd, 0xc0a59fde, 0x68e024bc, 0xb1ea7369, 0xba98a889, 0x4bbd05c4, 0x7ee88104, 0x26a0e6de,
+    0xa97f528b, 0x57310526, 0x06f6e44c, 0xad458590, 0x318ab8a5, 0x8129c7fd, 0xe5af6ec8, 0x25df966d,
+    0x727ca9fb, 0xccface3a, 0xec6cb6af, 0x5a57da22, 0x757d81f0, 0x9fa0cb35, 0x5ea7e074, 0x7a8f6e19,
+    0xf13febaf, 0xfd51770a, 0x5a071461, 0x43eb0cea, 0xbe6d738d, 0x5b6042de, 0x9c2c1809, 0x7b8dfa76,
+    0xf633f9e5, 0xd0c03bf1, 0x9dd2b91e, 0x53fb63b1, 0x9fdf5f49, 0x538c95b2, 0x7d7daf1f, 0x13a5d030,
+    0x17dad859, 0xecabac8f, 0x7cd70f9b, 0x6faca945, 0x08ad6278, 0x39ed8d97, 0xe9a4fded, 0x419a26b0,
+    0xf7f5cbb9, 0xe8027191, 0x8c95d4e3, 0xe47f5e97, 0x4c8fc97e, 0xd325680c, 0xe5e1e135, 0x89bfa937,
+    0x7feb4dae, 0xfa4e2b5b, 0xdba0caab, 0x3bb5e264, 0x957059b9, 0xe3e57876, 0x5eed52a3, 0xd8a207e0,
+    0x5ef29507, 0xddcf609f, 0x39aa69e1, 0x1a9c038c, 0xfaa1dfcf, 0x30571f47, 0x8c267db0, 0xc1ec9c15,
+    0xaecfdbbb, 0xf6a1c11d, 0x80e38b00, 0x8e93737e, 0x991b1a69, 0x109e8115, 0xd62ea45e, 0x97861994,
+    0x38e645fe, 0xa0be9744, 0xcb02f85d, 0x3ece0a16, 0xefd2b05d, 0x68c2509f, 0xea4b0612, 0x45370baa,
+    0x5de9f529, 0x4644eca6, 0xc3d6e7f7, 0x7964b33f, 0xdddd2172, 0x119b4d2f, 0x90eba400, 0xa1b4d550,
+    0x86e47ccf, 0x631bcf78, 0x739138fd, 0x2515d161, 0x131855af, 0x66a57303, 0xd74663b6, 0x517b07f9,
+    0xb17c7639, 0xcf26ad7b, 0x32f70d44, 0x5d7de3c4, 0x561a7fdb, 0x9f79d260, 0xd7de7b08, 0x4e590d3d,
+    0x99e6e01a, 0x8446e056, 0xdc808f9e, 0x8a6c8323, 0x6fb9770e, 0xfdbe76b0, 0x5a518fe0, 0x383ae103,
+    0x1ebc6674, 0xacc9d324, 0xd4f51545, 0xa8d48d32, 0xb686a10e, 0xc82c84a6, 0x6056525c, 0xe9d10dc0,
+    0xe4b886cb, 0x5e19d90a, 0x0ff82496, 0xfe9f4538, 0x4b909a8f, 0xba00f971, 0x972482b7, 0x83c673d8,
+    0xfdd009f8, 0x5ca74fdb, 0xb5546d20, 0xb09f5a5b, 0x54543b28, 0xcce6b734, 0x712e6028, 0xeaaa2d2d,
+    0x23f4963c, 0x1ce05842, 0xe9820df7, 0x54eea99d, 0xa6ba55e1, 0x92049ad3, 0xb6a182f6, 0x0c02779b,
+    0x534bd165, 0xc3ffa462, 0x59ce7faf, 0x91be7fe7, 0x62be6ead, 0xd29979c8, 0x1df9255e, 0x239fd85f,
+    0x7ac02af1, 0xa0e17b59, 0x69acbd04, 0x2da27b04, 0xfb27404a, 0x4c275f58, 0x7aec17f8, 0xab1bb07e,
+    0x444645a9, 0x12b1a0bf, 0xcd924009, 0xcbe214a7, 0x7d729b30, 0x308e85d4, 0x69a2d290, 0x88cedda5,
+    0x449f07a3, 0xbc564182, 0x41070e98, 0xc96e7bd9, 0x1358ea48, 0xb153c99d, 0x5bcfaf3d, 0xe79b991b,
+    0x402dc505, 0x67cf9094, 0x45b85fe7, 0xe94bcf12, 0xdff845fd, 0x3c168cf8, 0xefdafdac, 0x8902a36c,
+    0x2a593c3c, 0xfeca0ce1, 0x3c38f86e, 0x8a587e64, 0x58dfdf04, 0x9b841129, 0xcc21ef27, 0x5a3db054,
+    0x9d56b608, 0x519556f3, 0x8bccabc0, 0x1a45c52b, 0xb36c114c, 0x79c3e0e0, 0xdf70b5db, 0x04c0d754,
+    0x78f33b60, 0x22fcd150, 0xa611bf66, 0x6f222a9e, 0x98e64144, 0x1a607c35, 0x19c8e09e, 0x7e0dfec1,
+    0xbf1df650, 0x9e050b9b, 0x33428296, 0xbd352cc3, 0x162a9a7b, 0x2176652f, 0x9b454fc1, 0x3af89429,
+    0xa66b0dc0, 0xcac8bae9, 0x5e3240d0, 0x80988750, 0x595cc60f, 0xc4ee6d64, 0x3b02b4e5, 0x7a0781c4,
+    0x4a0109da, 0x4644d1dd, 0x04a2a379, 0x2c91e5be, 0x35c87959, 0x8ceddb2a, 0x3e7c8f03, 0xc4a59f6f,
+    0xc3c95d47, 0x3ec3b4c5, 0x64562255, 0xf8f003f4, 0x5594ffe1, 0x47b62b02, 0x64443c8f, 0x77af99d9,
+    0xd1a4cb80, 0xb516c4f9, 0x8fab2031, 0xd0215115, 0xea8cb93b, 0xb7e3c8cd, 0x46b3e44f, 0x24aa8d09,
+    0x56b8b761, 0x55f2ba9a, 0x75961965, 0x628176e1, 0xc762c5a2, 0xd5f1154a, 0x7c814cea, 0xfc9511a6,
+    0xda0db58e, 0xb33d0ac7, 0x04c3406a, 0xe396dbbd, 0x938dd37a, 0x203c753e, 0x5cc14062, 0xbd9735b0,
+    0x2518e039, 0xd0390bde, 0x8cfbad75, 0x24a5c10d, 0xe3c658dc, 0x1e166282, 0x3b08f3e5, 0xbedf7692,
+    0xb6f2ca9e, 0x4c001c4f, 0x797372d7, 0x3693824f, 0x6a5a546d, 0x1568b12e, 0x33217e22, 0xd92d89f0,
+    0xd6fe7769, 0xeaac6795, 0xb4709852, 0x979777b8, 0xf0809fe5, 0x623eba80, 0xac54b970, 0x542dd9c9,
+    0xfb2d2961, 0x85d4faf9, 0xc96ab45f, 0xe86c6ca8, 0x1dcd608d, 0x1202968f, 0x255a488a, 0x2815b1ef,
+    0x5203611d, 0x0eb89a55, 0x8dce9811, 0x89db243d, 0xdcb251fd, 0xf97f9984, 0xefcc2115, 0x7ee9ac53,
+    0xaf268045, 0xa61181fe, 0x25709b1a, 0x9045eadd, 0x94d17181, 0x1176695c, 0x0fc167d4, 0x4a6e31a0,
+    0x7d3870e1, 0x02ab22f0, 0xe3919a89, 0xf676a0ff, 0x128ee937, 0xbaff739e, 0x50751052, 0xb67529a6,
+    0x66665e89, 0x64324ee8, 0xecc364f7, 0x71b6cff3, 0xc4d7683a, 0xe14d7781, 0x767042c0, 0x447a5795,
+    0x0441921d, 0x9eb21bf4, 0xece37fcf, 0x9629ce6d, 0x27826912, 0x0e06851e, 0xb295d1f6, 0x07c93db1,
+    0x8812976a, 0xe4baab25, 0x243ebb96, 0x26492fbe, 0x5d5a8692, 0x8413286f, 0x27efe954, 0x516d7f54,
+    0x0d27e4e2, 0xa50deb78, 0x72548b41, 0xfe45af70, 0x375b0948, 0x2dce6eda, 0xb998a61c, 0x48acac6b,
+    0x432973e7, 0x76773b16, 0x1d6cd9ba, 0x1e04fbed, 0xcef5a89d, 0x57dd978d, 0x9aca4988, 0x7411e91e,
+    0x3de6e598, 0x05c5d066, 0xfd6465c4, 0x0b00e1d1, 0x09c8f262, 0xd5f4510b, 0x5c02ec31, 0x513536fa,
+    0xdd7aab17, 0x7969c0bd, 0xc9bc2878, 0xbabe3e14, 0xe38a0c4b, 0x593a27ea, 0x7c631b06, 0x0d2e964c,
+    0xa21cd44f, 0xf5643124, 0xc4cb7202, 0x7243fa27, 0x391bdf9c, 0xe24aa8b0, 0x5d7b1f7d, 0x962213fd,
+    0x1cf87652, 0xac310ab8, 0x836e0f3c, 0x0aaf2c7e, 0xd375350c, 0x2d93bf7b, 0x5fe3eb70, 0xe56c0125,
+    0xc130f952, 0x05c239fb, 0x9478e23a, 0xcbf1c80d, 0x023c12c5, 0xf51e2cec, 0xc8964b3b, 0xdb1e135b,
+    0xdcb86961, 0xa6802ac8, 0x062feb6d, 0xd1694360, 0x0ca111fb, 0x36d3988f, 0x3f5c8136, 0x8dc5433f,
+    0xea1ba3b2, 0x45147ea2, 0x7396c576, 0x73dfd097, 0x3aa38acc, 0x64e5ca35, 0x2a8a348a, 0x79c6334d,
+    0x786b42c7, 0x5de1f5e4, 0x23cf0b75, 0x1d86fcd9, 0xba88afef, 0xcbacad40, 0x5fe4442a, 0x98a7414a,
+    0x96037e13, 0xe860e93d, 0xf15bfcca, 0xcd6358ff, 0x47049ed1, 0xcdab6ea9, 0xc6afa7ac, 0x0e21fda2,
+    0xa8614930, 0x93d3cbdf, 0x6bf8c064, 0xbba0730e, 0xcec48d5a, 0x95d29d7b, 0x0a18b4cf, 0xf0411d62,
+    0xc0850154, 0x470e0eae, 0x5a9ba905, 0xa73ad843, 0x08aec8e4, 0xac1178a5, 0xf9dd4805, 0x3f621f37,
+    0x0d73c9e7, 0x9993af33, 0x37a99654, 0x0ed0fc1d, 0x470211e5, 0x1c096312, 0xdf194165, 0xc95c9c61,
+    0xb86d1031, 0xaee6e536, 0x66d8b78d, 0x29c6823f, 0xb890163e, 0xc81ca387, 0xb086902e, 0x76441bba,
+    0x9370539b, 0x634918db, 0xc2b91ee1, 0x584029de, 0x445ca229, 0x098d58f1, 0xd4ad8e81, 0x9e85aa10,
+    0x9bfefd43, 0xd5d5f085, 0x1da0b5fe, 0xbda2327b, 0x7fcede73, 0xe213d883, 0x733e1ec5, 0x36d763f7,
+    0xc3df9d92, 0x5135283a, 0x30f4988b, 0x11e7b635, 0x44afba20, 0xd97b31d4, 0xe27523e0, 0xd7cd6b76,
+    0x8907a450, 0x54ec9c52, 0xc7c0a043, 0xfbd47b2c, 0xf6b6ce89, 0xf1b8834c, 0x0592d742, 0xf7cb928d,
+    0x12b8e547, 0x225e1b71, 0xbe1ce3a9, 0xb706e341, 0x14882108, 0x9de384a3, 0xf7aa4450, 0xd95f15e7,
+    0x020c992f, 0x8f66d9b0, 0x98c2093a, 0x333eeb32, 0x459f4ddb, 0xe5d789e8, 0xfc6bdad8, 0xa5b50249,
+    0x053f2189, 0x866b2ba3, 0x144b67ba, 0x495a8e77, 0x8c2d4ff5, 0x2c3c00a0, 0xdf6dd683, 0xc177e5c7,
+    0x2e465fab, 0x524a7a7d, 0x04d8829a, 0x4df770a2, 0xddf82098, 0x756c7caf, 0x53103189, 0xae9d7b42,
+    0x0f4cc244, 0x1dfb5d5d, 0xe92912b3, 0xd9eadff2, 0x15d7bb3c, 0x653c9cc1, 0xf7a1d1e3, 0x9472a5f9,
+    0xce52dacd, 0xe641ee16, 0xf6654475, 0x54cca8c5, 0x79d618d4, 0x8116b186, 0x239896d3, 0xdc3be614,
+    0x8539ec30, 0xb377c328, 0x60bc6131, 0x2b1ce927, 0xbc527cfa, 0x8e05f982, 0x5b668d50, 0x66dd0e01,
+    0x61f55264, 0x8a23c7e6, 0x6a3f52e3, 0xdbb6d82e, 0xc2b1fa9b, 0xdf5c9697, 0xaa27766d, 0xab38a8d7,
+    0x0b873c19, 0xeef3f582, 0x89968b2b, 0x86c7e5f4, 0x78510dbc, 0x7e11830f, 0xafc079cf, 0x59985444,
+    0xb588be23, 0xff81098a, 0xaa813f60, 0x652797a0, 0xbcd2e540, 0xdf7002c5, 0x9df8d708, 0x0a3b08c4,
+    0xc3c347e6, 0x1d10dfea, 0xd2565293, 0x623b09a7, 0x0aca30e3, 0xefb89673, 0x9916659d, 0x4e110570,
+    0x60cc4d41, 0x081ad9ca, 0x52c31336, 0xdb28bba9, 0xaadf9dea, 0xf9d4a695, 0x120138ca, 0xafb1bb08,
+    0xfdef3621, 0xedb2d457, 0xd91da2b7, 0xf868c45b, 0x25795376, 0x044318ba, 0x82731e32, 0x28df8d17,
+    0x928df9ce, 0xe27be710, 0x76380167, 0xe2a87c12, 0xd6061642, 0x7b46e5da, 0xa2f91b44, 0x1dabf13e,
+    0x2c483374, 0xc6866d27, 0x5cb1ac9c, 0x6bbd4757, 0xa4d68441, 0xbcccb7f8, 0xd05c5e8e, 0x221ee240,
+    0x4c0659cd, 0x941892cd, 0xe86efb9d, 0x12fd2e51, 0x2f26c872, 0x1b4efcef, 0x09e746ee, 0x018b18f2,
+    0x6aec466e, 0xe2c34af3, 0xa9a43241, 0x059fc2f9, 0xeea5da76, 0xc86523de, 0x3c0d7a88, 0xf5a51b40,
+    0x248c8fe2, 0xdd7cd5e1, 0xf4510e86, 0xf796e973, 0xd08035d8, 0x19e45b53, 0x705afd1f, 0x7f925332,
+    0xab4eb595, 0x78219860, 0x1366404e, 0x421fb59e, 0x614cf8fa, 0xc205b507, 0x30529ebf, 0x4dee0041,
+    0xf239d247, 0xe6cdf5ce, 0xdf3433f4, 0x05f45e89, 0xee20ce2e, 0x2d6bf3b1, 0xed270c6f, 0x50da2dc1,
+    0x2db654f8, 0x9912d394, 0x436b3211, 0xb51edc8b, 0x2ca9255c, 0x2f79971d, 0x3609e077, 0x00c9164c,
+    0xa8ab0a6a, 0x27fd5164, 0x2b5e1af2, 0xd50af58b, 0xefd9f1ac, 0x854442ea, 0x3a7200cb, 0x5360cf92,
+    0x0c4aad28, 0xb6c30eba, 0x2c40895e, 0xc8f8a7de, 0x8deb0311, 0x5cdc5891, 0x27fb3455, 0x2700e957,
+    0xc822576b, 0xb5c72bf7, 0xe0d244b0, 0x500794d3, 0x2903f6c2, 0x097da54b, 0xc8abc4ae, 0x6e7f59c5,
+    0x24447b42, 0x2e70fa0c, 0xf7d9867a, 0xcfe5212a, 0x79be6075, 0xca248940, 0xe1ab9fbf, 0x75cf1a11,
+    0x3ad709f0, 0x8b3ea2f0, 0x2a5bbf38, 0x395d2a42, 0x75405883, 0x37e85259, 0x2b977aba, 0x7533f8fb,
+    0x2e40fbf3, 0x39307504, 0x440683a5, 0xa6d17e2a, 0x924d267c, 0xb7791922, 0x496d80a9, 0x73368396,
+    0x098b01e4, 0x092c35a5, 0x51e32f34, 0x2b2bae0c, 0xfe4c98c2, 0x20265e98, 0xa9a14f8b, 0xb3870405,
+    0x55164fa4, 0x34a43671, 0xa56a0d4a, 0x3e1cceb4, 0x1227aa90, 0xda13f656, 0x397d7cb4, 0x6371863f,
+    0x2458551c, 0xd8d787a3, 0x2ce93c33, 0xbfe2e41b, 0x1bb747a5, 0xce101f39, 0x87c7fa41, 0xeb0a78ec,
+    0x63382881, 0x6bee0bbb, 0xb192a8c2, 0x932f2d4d, 0x5fc838dc, 0x8653c9b0, 0xad9282e6, 0x2fbf71f5,
+    0xe57a8f6d, 0xcdfa13e3, 0xefc1f5c7, 0x7d342897, 0xf620582c, 0x5d4309a3, 0xc2c69fa4, 0x32dc6e3b,
+    0xaec93fd1, 0xc1ca990c, 0x775a1fd6, 0x4d992269, 0xed67d12a, 0x5bfe3f47, 0xc985182a, 0xc58e692f,
+    0x00000000,
+    0xa8120163, 0xc8ea036d, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000010141204801825835211973625643008 */
+  { 0x00000000,
+    0x909b0386, 0x94847e4e, 0x863dcb56, 0x317b5a10, 0x33474170, 0xa9508cda, 0xc5c2f1e2, 0xf21a237b,
+    0x70616bca, 0x0c5d1b6d, 0x62b2c14f, 0x8a7ac45c, 0x3cec0a16, 0x8cb4810e, 0x615a77b7, 0x00d023fe,
+    0x35cd61e8, 0xe5271611, 0xf51fe7bd, 0xc0f235c4, 0xc269e8e7, 0x90768aa8, 0xfa823467, 0x581a850b,
+    0xf0e6e445, 0x06730a07, 0x0430584c, 0xe1e136c4, 0xa02bcd28, 0x234013e2, 0x72367b71, 0x4545f7d4,
+    0xe593fb1e, 0xbd4bfe42, 0x5751b78c, 0x05c29a54, 0x8d4a04f6, 0x7215f5af, 0x18983da2, 0x149367a1,
+    0x5bfb127b, 0x5eafd117, 0xf7d9010e, 0xf3d81d33, 0xccc5cff3, 0xacbfdd97, 0x25367951, 0xb3cef4d0,
+    0x0233183e, 0x3b0f3945, 0xf4124054, 0xe4d356c1, 0xc76d905f, 0xde0d473b, 0x0d02fce3, 0x0e5a98fd,
+    0xbd781b05, 0x5079e28d, 0xbdb044bb, 0x4ceda0e8, 0x27938bf8, 0xe6203059, 0x38c2839e, 0xdf79e717,
+    0x8dae0349, 0xe5930ffe, 0x4687f10e, 0xa4d6ec5d, 0xdace1aca, 0xcb2c4c60, 0xf114bf6c, 0xe3102cdd,
+    0xed3ce1d7, 0x597f5081, 0xf39c4a4a, 0x9c6b289f, 0xc75120d7, 0x662a4b36, 0x5873e090, 0x5eca3a90,
+    0x4366a578, 0x7d264877, 0x206b4d3d, 0xabf0049a, 0x0e975a93, 0xa903912e, 0xb801f54c, 0x549b71f3,
+    0xc137cdc9, 0x91431b9a, 0xf57aad3d, 0xf404c14f, 0x910cd3c2, 0xe5c5fff2, 0x126dc3a3, 0xb9ec8a52,
+    0x3b613429, 0xd797b81b, 0xc4bafa1f, 0xf2e8b205, 0x1eb58500, 0x9f988f34, 0x7a4ebdc8, 0xf5886c6c,
+    0xd14087a8, 0x89ed8414, 0x8b0a1a2c, 0x56f6d924, 0xe102c21f, 0x71e36a20, 0xead9bc87, 0x597c42a0,
+    0xbee16518, 0x3aee7172, 0xd470921e, 0x735893fe, 0x89dfea29, 0xe1efc77b, 0x35175261, 0x04576ea2,
+    0x5b5231a6, 0x6256e3bc, 0xf4e76840, 0xbd5c3780, 0x229843a8, 0xddf3d325, 0xc0054313, 0xbce31099,
+    0x5c537120, 0x094b3a29, 0xcfee598b, 0x0468563d, 0x28671772, 0xa700a090, 0xe4e519ec, 0xfdb0eb04,
+    0x524e0007, 0x28d99c6a, 0xfac1e2c9, 0x59e6af05, 0xfcdd94c5, 0x2bacf213, 0x37880096, 0x27cdd650,
+    0xa00dc45a, 0x098bb34b, 0x6dc729d9, 0x04f507ad, 0xf044c3b2, 0xaa6b03a9, 0xa5518d94, 0x718fcbf6,
+    0xcd02a3aa, 0xc357c7c5, 0xe542e33f, 0x16f18a18, 0xefa56e3e, 0x536aa7f6, 0x6d65cb83, 0x3f1c61c6,
+    0xae95d9b7, 0x44ed1a61, 0x6568122a, 0x9f295fcb, 0xf63cead6, 0x2e646dd6, 0x653db674, 0x50e800ad,
+    0xf39e13ed, 0xd5320fab, 0xf46e8eea, 0x4c142ab8, 0x651b051b, 0xea79b32c, 0x45ec409b, 0xa1c2031e,
+    0xc34ea702, 0x7088e7f7, 0x8e6c7b27, 0x4a784476, 0x7c9916ad, 0x5dd4d555, 0x19f7dcd2, 0x52e020c9,
+    0xaf82b5fa, 0xae07d0c0, 0xb6504420, 0xd7a9b717, 0x74cd7bf2, 0x48bc121d, 0x31e787a7, 0xa762006a,
+    0xdebda279, 0x2fd68493, 0x3953577d, 0xd9852154, 0x4fcee7b2, 0xd09bfe3a, 0x453bef4c, 0xf5b47c67,
+    0x7048d2b6, 0x5434a963, 0xc9615447, 0xc3f595ff, 0x1fbb8c0b, 0xd87586fb, 0x9e77d229, 0xa0786907,
+    0xa819ecd7, 0xf07aa9bd, 0xeb1e1a4a, 0x1fd41749, 0x8abf7c4b, 0x77592700, 0x952c7dd0, 0xa2143f6b,
+    0x26e6d2e1, 0x921c574b, 0x2b4e5598, 0x5c1e2cfc, 0xfc4b59d2, 0x6a1d1384, 0x3337afd5, 0xd9f91dbb,
+    0x1c8ff45a, 0xc26fe5ec, 0x8de9943e, 0x9b08f047, 0x8b70482f, 0xc7185b47, 0x9095ec9d, 0x06526f1d,
+    0x535b743e, 0x0fae61fd, 0x6acded92, 0x6756853c, 0x144c34da, 0x9f4224c8, 0x9eb78160, 0x1bd21a66,
+    0x7663f2c8, 0x7691fe4d, 0x8f3ea522, 0xd11d8ef8, 0x41e7b503, 0x784e3f32, 0xbe60c0bc, 0x4731dfe6,
+    0xe8b0c54c, 0x57b9cca0, 0x89c7de4b, 0xb6ec1548, 0x7f11948a, 0xaa2be019, 0x0a873119, 0xb5c70a8b,
+    0x3b40264b, 0x0e98d952, 0xfaf63c59, 0x3f398cb8, 0xfa255e95, 0xf99cf07c, 0x0a7a4894, 0x1da547f3,
+    0xe0343f3b, 0x6d33e261, 0x0b0263f0, 0x9ecfc4bb, 0x729a983c, 0x14f2192d, 0x1190fdbc, 0x3845349e,
+    0xfa11bb8d, 0x079462b5, 0x59a2bda3, 0x4533a42a, 0xbf7ae1c5, 0xf434ff5a, 0xce2d4156, 0x103b0508,
+    0xff5c101b, 0x73f08300, 0xc36b4018, 0x0dceb1e6, 0xb1907ff7, 0x41dca9de, 0x57cf82f0, 0xfa42162b,
+    0x55a4fd79, 0x64945e5f, 0x1d9329fb, 0x454e199a, 0x7d43ee23, 0x8371b442, 0x4ed248ac, 0xa03081b3,
+    0x032a3c6e, 0xd1fafa0c, 0x8e792e45, 0x303845d2, 0xb37286f9, 0x713e138c, 0xb2999f0e, 0x99fee7f5,
+    0xf1b54569, 0xec2bafbf, 0x93176a7c, 0xd1423055, 0x12f727aa, 0x3d010a7f, 0xb8d24cdc, 0x833799a5,
+    0xacd01002, 0xbec338c7, 0xd968c65f, 0x79cd539c, 0x67826753, 0xaab035ff, 0x7847ceda, 0x5df9fd4a,
+    0x1f8c4c72, 0x7f7481c0, 0x4c78cae4, 0x976901da, 0xff421441, 0x19b41997, 0xf52c4ee7, 0x42ff79fe,
+    0x03953b0f, 0x5deccd0f, 0x21d3b38c, 0xdcb9cbaa, 0x7cbc286f, 0x0d600a7e, 0x7eaa392b, 0xbbad52ef,
+    0xd702d663, 0x155bad08, 0xbf56a95d, 0x73079046, 0xf798ffca, 0xfe154e1a, 0x6ed9b72f, 0x37de72f0,
+    0xe029beaf, 0xe7c2fb46, 0xa7737737, 0x25bb8ae3, 0xfcb5a78b, 0xc242132c, 0x9d8f9b84, 0xac0c4ba6,
+    0x2dc16012, 0x2be1429a, 0x21bc454d, 0xbda0dcbe, 0xa3a81989, 0x33e6a879, 0x615e1c6a, 0xee18e772,
+    0x4630e9b1, 0x245a309e, 0xd067fdb7, 0xa99592ac, 0x0fafc61e, 0x7f6b4a16, 0xdec81eea, 0x19add864,
+    0xc62c1e54, 0xac384535, 0x878b9b46, 0x114fb692, 0x0d423792, 0x7b44f1ee, 0x07c9c8fa, 0x24afb2f8,
+    0x68c825c6, 0xc421dc00, 0x0f23794c, 0x6cb37c67, 0x5fd14e15, 0x345990e4, 0xd3f5cfb5, 0x3c5201a1,
+    0xb0481b8a, 0xdd9212b8, 0x8f4821b2, 0xa89efe86, 0x3653f2a4, 0xc8d0b144, 0x8c9f9365, 0x708a5226,
+    0x1768cf1d, 0xdd725135, 0x506702ac, 0x3c58d563, 0x0fff1d25, 0x916ec25e, 0xa73d886b, 0xb3d68f88,
+    0xe72f7a97, 0x70ea88a0, 0x61e00f0c, 0xeb6526b9, 0x8eaf7ca4, 0x2eb252d0, 0x7412239c, 0x25179a63,
+    0xf7aad5a4, 0xa9079c63, 0x4d664f52, 0x08e8ca7d, 0x447a9e84, 0x74cfd1af, 0x8adecdee, 0x4e543389,
+    0xe4464def, 0xf00a17b1, 0xaa56c8e0, 0x6bf4d6cc, 0xea09ccf7, 0x4f0af05b, 0x14d9202b, 0x87577742,
+    0x43270f59, 0xb58b64d1, 0x532ec22b, 0xcf9d0045, 0x4f9a29f4, 0xf1f05920, 0xa478f416, 0x33e01b5e,
+    0xa5cf6570, 0x1622f542, 0xae2560b7, 0xc3c664fd, 0xdba83777, 0xd3f3679c, 0x32761c74, 0x6439aa66,
+    0xb9755dd9, 0xf3973940, 0x2990a368, 0x7f50f7c5, 0x0378ff67, 0x7ecdd374, 0xadedc731, 0x463640f4,
+    0x51e3b002, 0x46288498, 0x33125c7d, 0x1f8e3291, 0x1b3a91f4, 0x834dc8b1, 0x35f3d66c, 0xf8e3e5de,
+    0xeefba5dc, 0xd6c388ca, 0x3977d43a, 0x13deeb95, 0xb4901fd9, 0x4d832df9, 0x24cb3914, 0xb72808cb,
+    0x99836ea3, 0xe4af7e19, 0x78ff58cc, 0x35a195d0, 0x736cb808, 0x7001789a, 0x38179529, 0x9b2e0a57,
+    0xf73331e2, 0x1cdc0ad7, 0xdaadabbb, 0x0074a87a, 0x102231ea, 0xceb25687, 0x5a469d47, 0x092ff6c3,
+    0xa5fe1186, 0xefab8f9c, 0xc8aea003, 0x83a43afe, 0xa748d8a0, 0x6da994b3, 0xb1671d24, 0x42028824,
+    0x1b1a54e6, 0xe35910d9, 0x99d917f7, 0x093fbbef, 0x02e2787c, 0xaf123edc, 0x961c5944, 0x97081c59,
+    0xa8b67f4a, 0x1a23e7e5, 0xd2191db6, 0xe4a4bab8, 0x08414066, 0xd0c4e3a5, 0x461e46f3, 0x0d3b72e2,
+    0xa5526599, 0x7b49f446, 0xee4dbef2, 0x366e0de7, 0x52b4e763, 0xf4272db8, 0xf693bf4a, 0x72236a9e,
+    0x2ca6c72a, 0xb2a2ab66, 0x57ef07b4, 0x04cda420, 0x9cc90f20, 0x953f84c9, 0x93c9cdf4, 0xf8594f54,
+    0x287a656f, 0x0611a51f, 0x03e11ebf, 0x55aed720, 0x6ee5ac65, 0xa8a57afa, 0x9de97aa8, 0xd6df2088,
+    0x80d56081, 0xa10f57bf, 0x328f8ba4, 0xc0269eac, 0x9fc4d571, 0x8be10db9, 0xc72b515f, 0xe6327240,
+    0xb9cff55d, 0xc8586aec, 0x40c76b62, 0x71ca035b, 0x97aa7311, 0x43901c71, 0xdd179de2, 0xff26cc10,
+    0x08dd27e3, 0x3e03039c, 0x9a8698be, 0xa779169d, 0xb17347fc, 0xa73ccc12, 0xb3b868bd, 0x20333ff0,
+    0x720025b0, 0x99e6405e, 0x767b96ec, 0xb6dad548, 0x36047888, 0x18663869, 0x0ec34272, 0x95a8cf89,
+    0xdb6f160a, 0x8df8c725, 0xeaa1a31b, 0x76f64d43, 0x0e591b22, 0x489eb831, 0xb6d1b0b7, 0x51beb7ca,
+    0xeb9a25fa, 0x589441b5, 0x79f6f18e, 0xa5ac9c13, 0x4e3a51c1, 0xa1b5c2cd, 0xcf11a818, 0x28c809ba,
+    0x25474d0a, 0x5c138c06, 0x7ce87b53, 0x7b583b6f, 0x480c9985, 0x693f82b5, 0x1e4c4187, 0x44a64204,
+    0x2d61b428, 0x44d24fb3, 0xce9d6f8c, 0x8afb5a8a, 0x50ef3401, 0x1a9b1dcd, 0x23fcb548, 0xfb9c011d,
+    0x9c55b797, 0x4c4b4729, 0x9572f6a2, 0x3a919649, 0x2017302a, 0x7904d8be, 0x01029085, 0xf607a645,
+    0x7205f88d, 0xcc9683da, 0xa10b99e3, 0xd12f8c7e, 0xb2373a03, 0x57811631, 0x8b19058b, 0x8af8dea4,
+    0x92a53940, 0xdfc684d8, 0xf471f3f9, 0xedfa31a9, 0xa75de710, 0x73811b17, 0xc2708bc0, 0x2b317786,
+    0xf4572de2, 0x28ace8d5, 0xe6d1628a, 0x9bc59b7d, 0xcdd16275, 0xe1d300fb, 0xf738b627, 0x25c9f31e,
+    0x6d574861, 0x052667f5, 0xc921f554, 0x569d588d, 0x0c712743, 0x09cfd501, 0xa76cb95d, 0xb7467f44,
+    0x9c5d3543, 0xea160e4c, 0xeca6f101, 0x2547df27, 0x75e79dde, 0x084530cf, 0x3f1457ce, 0x88418174,
+    0xb1b7a975, 0xbbe85fba, 0x4e270df9, 0xf2ebde18, 0x60eaf344, 0xc0fce702, 0xe576a583, 0x063a5ab9,
+    0x392ac102, 0x99ef0419, 0x6b8f5d81, 0xd9fc3b47, 0x5836a7e2, 0xf9e42e42, 0x475bb523, 0x4f8436cd,
+    0x8cb721b1, 0x7b8ffac3, 0x26b79d8d, 0x22a463f5, 0x55142501, 0x8113c3f3, 0xca8f2f1d, 0xe0c28311,
+    0x6c27ceb7, 0x2e275a7a, 0x95079125, 0xe9d4609c, 0x92bc696d, 0x04a48faf, 0xa44fb64a, 0x9ecdc4c8,
+    0x27ee75b8, 0x912ca53a, 0xf3ce1299, 0x1ba2f4ef, 0x6dd355de, 0x3fc1d751, 0x075de9b3, 0xdb8fe947,
+    0x4bd81e2d, 0x7359348b, 0x736a18bd, 0x40f1beb8, 0xc06944e1, 0x9f92a71e, 0x0c784ac4, 0xdad6f704,
+    0x7ff6bd1f, 0xa43c9bc0, 0x5a4ba7e3, 0x41c0b33b, 0x16c45259, 0xfc199cce, 0x0d4f4fc2, 0x337b3e46,
+    0x5f0e4c46, 0xb19f1166, 0xf202ffa9, 0x7c754e61, 0x0143d898, 0x820c5dea, 0x048af378, 0xb6fe18cc,
+    0xee0b4277, 0x74dae1cf, 0xaf84f39f, 0xd53c8a32, 0x26c118de, 0xb3e5993c, 0x76d7ae08, 0x40441ece,
+    0x3d812783, 0xe47a24a3, 0x39fff5ce, 0x6f79eb4e, 0xe661d627, 0xb90184d1, 0x9a87a90b, 0xe012aa56,
+    0x00a7a5fb, 0x2c968d85, 0xe62b28fa, 0xe807f58a, 0x479f0402, 0x30bc964f, 0xeeefddc7, 0x72f1cd87,
+    0x94735153, 0xcfe8e764, 0xb2d01c25, 0x90cfbbe4, 0x7b9d816c, 0x3d13cb99, 0x297ef139, 0x9143f466,
+    0x56ee8a84, 0x667b1815, 0x5670f175, 0xc0477bbc, 0xf86ecebf, 0xf9648d68, 0xb29f44ba, 0x3148db09,
+    0xfd3fb7ad, 0x134ce921, 0x5e9d81d9, 0xdb76453e, 0x0165f0ea, 0x6af1b366, 0xe53a6fc8, 0xf298ae46,
+    0xc1656e78, 0x41bab2ce, 0xb99f7448, 0x40c73e9b, 0xac8f2387, 0xd5ebbe80, 0x825f0653, 0x890e2bc7,
+    0xca8c7502, 0x5777f942, 0xdea584d9, 0xb3e27615, 0x3e4da8c8, 0xedf5d65f, 0x87bf2960, 0xe3b7d33f,
+    0x2ba600b5, 0xe1602c9c, 0x6b4ba1b5, 0x405f6299, 0x658edeff, 0x9fd6f12c, 0x260c13bc, 0x2c32bac1,
+    0xa26bed28, 0xc4bc1adb, 0x25b0ea00, 0x3927151f, 0xb04b2409, 0x51066d5b, 0x147a3075, 0x77e50a82,
+    0x650dc417, 0x10ceff7b, 0x6ecba70d, 0xd15f5b3b, 0x542b2f1e, 0xa08ed1f0, 0x6e7545b0, 0x5b9165e0,
+    0xb0fa3a1f, 0xb0c1f8f7, 0xe3b2d64c, 0x8a2a19e1, 0x7d955d5c, 0xbbd7631e, 0xc7259a9b, 0x6d0aa743,
+    0xad8c79ad, 0xb26c9fc5, 0x89b49b83, 0xd731e360, 0xd1a19c8e, 0x18f0c324, 0x216f2d95, 0x85ca5a5c,
+    0x53058041, 0xe6424eb1, 0xfe67bc34, 0xb8f88c06, 0x07d19150, 0xb3d609fe, 0x2d3cbc83, 0x02a2e69b,
+    0x19c5eab8, 0x766ef579, 0xc0d644c2, 0x36ffd690, 0x2c976c90, 0x846f78f1, 0x097ab93d, 0x2626b907,
+    0x2b49f5ca, 0xca52e7c1, 0x36636a09, 0x9622dce7, 0x01455795, 0x937fd5a6, 0xbdf1b9e1, 0x7168094e,
+    0xcca57613, 0x23fb45f5, 0x129ae8a5, 0x938325cf, 0x98a1ceb3, 0x45309c08, 0x73df8fb1, 0x09e7e0b2,
+    0xb06581a6, 0x9a7dc68f, 0x07101f7e, 0x3d352faa, 0x16005b6c, 0xbd06f078, 0xea4dcf2b, 0x17079420,
+    0x585c24ed, 0xd4dd6c56, 0x8e21a330, 0x96426d91, 0x83e33963, 0xe20a323b, 0xef5a2339, 0xec7eba52,
+    0x55c67d70, 0x2c115aa3, 0x363d7d76, 0x9532e322, 0x75e4a7a8, 0xac337b9a, 0x0577b538, 0xaf622e35,
+    0x919eff96, 0x550e1b7e, 0x3f85720b, 0x22e13399, 0x9c117847, 0xd4c71d8c, 0xfd8ab407, 0xf6269722,
+    0xac150584, 0x39280437, 0x81f3ab4b, 0x80ba159e, 0x34b32497, 0xc070386c, 0xdaa0630e, 0x2d401b14,
+    0x5091652f, 0x01719290, 0x73ab98a8, 0x2b730f30, 0x34c19c64, 0xdfd628cc, 0xf50bc907, 0x94dfe8f5,
+    0x6edaca23, 0xcb9b8f72, 0x9a2ea0a1, 0x7d83778e, 0x9e3e9efe, 0x14c47ce0, 0x4bdec190, 0x3242dae9,
+    0xbbb31dae, 0xe45a9172, 0xf432ff9f, 0xef5f93b1, 0x8adb2858, 0xd6f3f351, 0xc3dc02da, 0xab28513e,
+    0xfa68e743, 0xf5b30dd5, 0x1da30639, 0xdaeba616, 0xc1cc03d8, 0xd01c724a, 0x2e22c7ca, 0xd9713c93,
+    0xd4b1b693, 0x3ac9a9ac, 0x7fd79e46, 0xd7042d98, 0x263ac815, 0xa15e228a, 0xbb527ffa, 0xf9cfba20,
+    0x409f50dc, 0xa1ef0a6d, 0x3503a3b6, 0x5dc85fce, 0x0c45d567, 0x20c9136b, 0x1947564e, 0xda083584,
+    0xcebd2039, 0xd4137d69, 0x577fd913, 0x8910bb1a, 0x4f95b34c, 0x9cc13b1f, 0xf874768b, 0xf5d73bf8,
+    0x03ad4265, 0xe519b8e0, 0x68fe5287, 0xf348a278, 0x97a1b045, 0x6600be1a, 0xc89247fe, 0xc52d8351,
+    0x5c58ae07, 0x69bf1f6c, 0x8fe42124, 0x4ea6bf1b, 0x63012965, 0xfc7fb644, 0xb1028ab8, 0x825650de,
+    0xb62fd269, 0x737163e6, 0xf078dd39, 0xe1365d28, 0xfdbef232, 0x3b348fe7, 0xdc05b468, 0xff7805e6,
+    0x2722857d, 0x9ec76827, 0x4f09f506, 0xc7c49555, 0xc4eb54f7, 0x36f19808, 0x2c255724, 0x9a27bca3,
+    0xffc2c5d4, 0x66305aa5, 0x6a4f005f, 0xccf6f4e8, 0xd680ff45, 0xe8f02c80, 0x8b6030e6, 0xfc258404,
+    0x4619f323, 0xc50d37bb, 0x2d3f4e01, 0xf6eebf8f, 0x265676ee, 0xbda417bd, 0xbb3f3e3c, 0xd495c31a,
+    0x93297603, 0x2345e4a2, 0xb630d38d, 0xe6a1c151, 0xf497d0ea, 0xc753e069, 0xeaaab389, 0x6e1948dc,
+    0x833e8044, 0x19e6e2d3, 0xd1bd0e7f, 0xfe4f20be, 0xfdb7aac1, 0xf9f19360, 0x594b8ff9, 0x609ef59f,
+    0x3d411758, 0xfc736490, 0xdd5ea87a, 0xc41dbb25, 0x7b49cccd, 0x59876011, 0x03ea34cb, 0x9f04feca,
+    0x00000000,
+    0xd40900b1, 0xe47501b6, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000005070602400912917605986812821504 */
+  { 0x00000000,
+    0x5dbb9a44, 0xf1244687, 0x8cde1c9e, 0x953c13e8, 0xf31a98b3, 0x091c2e6b, 0x5fc9ba04, 0x75989eea,
+    0x255285f6, 0xc32fc8e9, 0x995818e1, 0xad744509, 0xf03af261, 0x956d4e4b, 0x741e304b, 0x6113e16a,
+    0xf131a9a8, 0x8bb849d5, 0x7b83a3d0, 0x39c6dd17, 0xebf9628d, 0xb0904b60, 0x2d283ee5, 0xdfcc7102,
+    0x90c85869, 0xa4a2772d, 0xaeda978a, 0xd7ca2891, 0x91d43496, 0x8dbd8b87, 0xad54b8f5, 0x5f3aa232,
+    0x57e99f46, 0x0ecaf8f3, 0x8adde725, 0xbe3b2222, 0x425e30cb, 0x4f47d792, 0xbc2bc30d, 0x70d4c7a3,
+    0x943a47b0, 0xbb92506e, 0xa29b8846, 0x5ad6a924, 0xd5919b50, 0x7d51ae80, 0x274cf7bb, 0x3f75b3f8,
+    0x09d9b19f, 0x89101256, 0xdee7a9b9, 0xebcfe151, 0x23269992, 0x47c19131, 0xcf95e143, 0xfcbee0ff,
+    0x11cd32a3, 0x2a73b979, 0x09211b95, 0x81c529a5, 0xa4caa36e, 0xf9ac1787, 0xa427f5ef, 0x876a6c80,
+    0x8c22b58c, 0x570ee32e, 0x7da7e3a7, 0x134f37d9, 0x6ce4385c, 0xefd231ee, 0xc123d583, 0x335638fd,
+    0x060eaec7, 0x5215c892, 0x7ccbf7cd, 0xee57a170, 0xdf737107, 0x24f5f727, 0x084a83dd, 0x1aebeddc,
+    0x9a44cc81, 0x97222039, 0xb6cec6c3, 0x4c24b713, 0xbb45b23e, 0x45e83a4f, 0xdb7d20f5, 0xf9bfbd14,
+    0x3a37037e, 0x3f195030, 0xeee4f125, 0x5960cb51, 0xd2fe9fd3, 0x8a0fc3a7, 0xe43212eb, 0xa83a2dd9,
+    0x49649719, 0x3960af48, 0xc0123256, 0x914defb3, 0xda51424b, 0x26fcef4d, 0xf52d16ad, 0x3774a1c3,
+    0xb42e7428, 0x07e56838, 0xb89866fa, 0x950375a1, 0xf043c781, 0x725fc6f7, 0xd9997a96, 0x71ef801c,
+    0x073dff4b, 0xe83f58a7, 0x966e8626, 0x23db4e9d, 0xc0e234c1, 0x0c56ef8a, 0x094ba01b, 0x9557a7a6,
+    0x454475b9, 0x58831c5a, 0xf064e5ab, 0x2ff62712, 0x7e23b8ba, 0xd37e8a4b, 0xad14f410, 0x26770ba2,
+    0x8700fd4e, 0x71c2c378, 0x9a7a408a, 0x0a175537, 0x7d966d62, 0x0eb51556, 0x7f3fb6e0, 0xd547ed6a,
+    0x33514500, 0xfa070eca, 0xa14e32b9, 0x240452f9, 0x2655c840, 0xbc3180e3, 0x8f1d22c1, 0x91963aa2,
+    0x4f1e2bdf, 0x8f5a60d0, 0xb9ab09c7, 0xd955df78, 0x9ef71b6e, 0xe74efe31, 0x387c8724, 0xeea0481a,
+    0x822d41e1, 0x59268126, 0x88fa230e, 0x0647a388, 0x66a944fb, 0x44d01115, 0xef1369bb, 0x9e0d685d,
+    0xbd33e0b6, 0x9c7e0d4e, 0x3aa0f81c, 0xf12f6f2f, 0x4c5d2683, 0x965cb298, 0x3229c21c, 0x7bb50928,
+    0xb3d0f486, 0x6e55fff4, 0xe7e8be55, 0x6f0fd7b3, 0xc086be70, 0x5976ee13, 0x717fa75a, 0x87e54741,
+    0xbae49c6b, 0xcf70ca3f, 0x4e501033, 0xd3aff222, 0x3d266deb, 0xf45e64f3, 0x75809db1, 0x02d4fb5b,
+    0xba895d4d, 0x7c761b2c, 0x67d35c70, 0x83838bbc, 0x04cfcd37, 0xa219941e, 0xef1426ff, 0x11386476,
+    0xecc086e8, 0xf70c876e, 0x18cab7c0, 0x5a42791a, 0x813f8471, 0x438e5560, 0xefac0699, 0xc4b3d777,
+    0x9e07f45b, 0x1aeaa406, 0xbcd98c26, 0xea865c43, 0x2fdece6c, 0x00d409fc, 0x11328661, 0x45c0a6a7,
+    0xbace56e1, 0xc00bde08, 0x475d1e31, 0xf4bccacf, 0x265bc8fa, 0x15d88ccf, 0x7d3e896a, 0xe5b7828f,
+    0x36fe0a59, 0xd7eac87a, 0xede1a929, 0x1b9c6b9b, 0xf39d8f77, 0x6c47f8bf, 0x56488e5d, 0xa7f33915,
+    0x0c77f735, 0x2873b4ed, 0xe76df397, 0x0b656e80, 0x5bb63791, 0x60b00ca6, 0x9bd7694d, 0xdf0e9602,
+    0xc2791ee5, 0xd950f9a9, 0x8c903c6a, 0xa7b82bf8, 0x385c65fe, 0x0740335e, 0x96a219da, 0x091fac8e,
+    0x5067711b, 0x18183ef0, 0x7c80af7e, 0x63e0c2d8, 0xf07bb773, 0x8299dc3d, 0x9b568f3d, 0xd6e7b53d,
+    0xdddcd01c, 0x3c166489, 0x650eb73e, 0x4b904452, 0xc1704c44, 0x33291941, 0x83666757, 0x946e25bd,
+    0x853ea886, 0x833f37f3, 0x162ff5ca, 0x2c6c5425, 0xf42d4481, 0x0cd77d6d, 0x97b22332, 0x9af2a021,
+    0x62e2d462, 0xba982542, 0xbe8050b4, 0xba37600b, 0x979280dc, 0xa6dc834c, 0x76aef919, 0x0fc3f06a,
+    0x97db1e0a, 0x8e916e12, 0xbdffbc41, 0x1b1795e6, 0x243db2b6, 0xa21bb5df, 0xcedd4fd2, 0x88a5b28b,
+    0x7fcffdcf, 0x08e2582c, 0x1a3aede3, 0xf20f6d85, 0x259aa49d, 0xd8d0a7f7, 0x6b5690fb, 0x08d490e9,
+    0x12e70642, 0x2ffff6b5, 0x47c79e18, 0xfeffe4b9, 0xfa09241d, 0x1e22a893, 0x75e31f43, 0x5489adb9,
+    0xb8055084, 0x3d4cfd5e, 0x3e7a3af5, 0x8cb5df7a, 0xc1c4767f, 0xfa24f95b, 0x94ceccca, 0x41dfee6d,
+    0x1f9e45fc, 0x530e2510, 0xcd817494, 0x043c82ed, 0x5fe256a4, 0xfe54ded9, 0x6c72338a, 0xfa0c4428,
+    0x560dc9a7, 0xc0a45ef0, 0x2cb9e2ec, 0xa6bc9cd2, 0x083a098b, 0x9cc2ff2c, 0xbcfe04dd, 0xc4f9960f,
+    0x50992bfd, 0xb35fb425, 0x53b13caf, 0x91205c73, 0xd14b3cd3, 0x0dfa9126, 0x8ce84ec8, 0x15752141,
+    0x9e3486f2, 0x551f9fb0, 0x62894640, 0x71d30e4f, 0xbc96c495, 0xfad8df44, 0xef58f7c0, 0xccfa83fc,
+    0x74b3b00e, 0x6476c11a, 0xcdc186d1, 0xbad03c02, 0xe2d70754, 0x0a76803b, 0x5fd7661e, 0x38d53e25,
+    0x4d4a8d09, 0x1961a533, 0xaa819b04, 0x6018b4a4, 0xa6db0b5b, 0x648bc36e, 0xc4fe91e0, 0x11d6325a,
+    0xe00e44bb, 0x16d19716, 0xb989e23e, 0x88ecc2ae, 0xa9d11fa0, 0xb6eb6c79, 0x526a1077, 0xcb442d7a,
+    0xf1c0368d, 0x157c0114, 0x1967331f, 0x53f213c1, 0x07d043dc, 0x1d086bb4, 0x43651c4e, 0x7dc887a4,
+    0x6a2af545, 0x6dd03b18, 0xcbd3537b, 0x319ae209, 0x4afdc00a, 0x5f5030d3, 0x80033104, 0xd22919fe,
+    0xe34a691c, 0xf1cc6518, 0x30bd073a, 0x168bafea, 0x7715f060, 0xa80b8b7e, 0xa5cc8ae4, 0xbcca3e88,
+    0xe9e70fac, 0xca56239b, 0xc5c04563, 0xdf6e5e07, 0xa22a1a74, 0x12c3f559, 0xb5799445, 0xaf00bb7a,
+    0x038fed5b, 0x98d372ff, 0x0657a207, 0x16595407, 0xb885bcce, 0x3b5174ee, 0x8946cd32, 0x016613b4,
+    0x90fa3ef3, 0xb21e4dde, 0xe54f6791, 0x74ff9ba1, 0xba750839, 0x05a56381, 0xe52d1098, 0x0683b3fd,
+    0xa6c72cbc, 0x80c3e541, 0xa5078d8d, 0xba63d124, 0xc47bf33e, 0x0d555a0c, 0x9d41996e, 0x021a06a8,
+    0xff990f55, 0x40b0cef5, 0xea787ba1, 0x6d3e1887, 0xac4da8b5, 0x6c72b423, 0xd747ca76, 0x2995f92b,
+    0xa2aee5a0, 0xa4158a6d, 0xefc60497, 0x362fe844, 0x6c8983b5, 0x4ac2e9be, 0x6133916a, 0xf27b30e5,
+    0xff6b2328, 0xb17eb1e6, 0x550f6bcd, 0xe9ebf5ea, 0x220c18fd, 0x5a793e7a, 0x53e48881, 0xe345b169,
+    0xbc89e464, 0x031ec5c9, 0x8c188be4, 0xf2c8931b, 0x485c4c51, 0xbf80a7e3, 0x0fe4cf23, 0xc6ae1cc5,
+    0x804f384d, 0x405e4a0b, 0xeae93ac1, 0xe87bcfc6, 0xdddacdf5, 0x93c954c1, 0xbc4b000c, 0x22a57194,
+    0xa63039de, 0x00e1b27e, 0x97344630, 0xa91d84f7, 0x827b7d67, 0x89c5ca1d, 0x2e3afbc1, 0x68d1b622,
+    0x743e099a, 0x99fe6bad, 0x5c936127, 0x6c3f3b26, 0x4e211062, 0x751e2386, 0x0b58e13e, 0x84d19975,
+    0x11b58082, 0x9dc189c0, 0x4b80abef, 0x8aa84f44, 0x1f0124d7, 0x8ad29cc8, 0xed485eba, 0xe6f12c67,
+    0x91407aae, 0x5482fac3, 0xf9018a55, 0x03cbb34f, 0x0668b771, 0x3e8bd58c, 0xc223ad57, 0x5d718c5f,
+    0xccbef649, 0x012b8f64, 0xa901c833, 0x45e343f4, 0x690f28ef, 0x0c08e2f7, 0x8db11a7c, 0xe07c6150,
+    0x41581ab4, 0x31154d00, 0x482d180c, 0xc08d7430, 0xb77d7f16, 0x2026b21e, 0x817b3d6d, 0xedcbd8cf,
+    0x7371146f, 0x4f10808c, 0x29c9ace5, 0x6f5c8e16, 0x8772420d, 0x23707ea0, 0x594cbf7e, 0xb63b7fec,
+    0x55af99af, 0xc44c6d3a, 0xb207900b, 0x64b22d72, 0x040c80eb, 0x85b7eee4, 0x32b8f437, 0xc35b3174,
+    0x0f9f5e80, 0xdbd94273, 0x4cd84464, 0x9c085f2d, 0xbcb9c640, 0x11abe546, 0x546db5cb, 0x590f82d4,
+    0x03696122, 0x8ecfdb15, 0xb649407e, 0xcde50fc2, 0xccc983cd, 0x6581b3ad, 0xbb87d02e, 0x75572087,
+    0xd2cbee92, 0x69207eb8, 0xd4144958, 0x4bc75d35, 0xa945927e, 0x9a2f2da9, 0x10171f58, 0x4a200e2d,
+    0x5b2ab402, 0xdccd6db7, 0xbfb6fabe, 0x5bb74430, 0xf3ff3cb6, 0xa6bb77ad, 0x82033b06, 0x98f6ee88,
+    0x66fd2b6f, 0x86aac650, 0xaf780778, 0x9fe8e920, 0x6306f7df, 0x5a13fa0c, 0xf92b8330, 0xfbb6569f,
+    0xffa6ad9e, 0x8b5ead72, 0x89ec1c86, 0x9a98f339, 0x75e74478, 0xf46371d5, 0x8aff6fbe, 0x64ca362b,
+    0x3a32645c, 0x15b12bac, 0x98ed2ed8, 0x71a9b451, 0x7f794ccd, 0x506aa697, 0x1426e712, 0xbdb47385,
+    0x6a49a1d7, 0x25c75f08, 0x556cb126, 0xb741a26e, 0x50a7e329, 0x8f8cc5dc, 0xb165cc16, 0xde29bb1f,
+    0x5ee478fe, 0x87977a33, 0xeaa2b47c, 0xcd24c282, 0x340c7cee, 0x8e84a937, 0x59de9717, 0x3df68c77,
+    0xddb88977, 0x082edae5, 0xfe420ad7, 0x367ba37d, 0x5c267a9f, 0x3147e0a4, 0xb85e163e, 0x1e022a92,
+    0x67857a8e, 0x6107ddca, 0xb8160e35, 0x9d061625, 0x6959471c, 0xc98b3681, 0x1be28675, 0x4f027bd0,
+    0x151c0087, 0xd8eb295d, 0x465e9bf4, 0x3b572e5c, 0xc8f1e3ac, 0x3d2ada1e, 0x76dd6f94, 0xd5a2aad9,
+    0x235f5e23, 0x36a18889, 0xd9ef62f3, 0x1d974555, 0x113c4392, 0x90d8e72a, 0xbef204ae, 0xee1f2b2e,
+    0x1c33b199, 0xc9fa130e, 0x3d88e369, 0x6bd89a71, 0xef026531, 0xc4ef797e, 0xcde07540, 0xb09780c3,
+    0x633e3487, 0xc841372f, 0xfb90c0ed, 0x32c67428, 0x3f0f098c, 0x2d6f935e, 0xf38df486, 0x6c9d41fa,
+    0x5689df93, 0xb32e9cc8, 0xc6a63826, 0x9d765057, 0xf33b8470, 0x4db5f0d2, 0xc112af55, 0xa0d11c42,
+    0xc8352429, 0xb9ff7359, 0x6d7b47da, 0x52d899a7, 0x0cd64ecb, 0xd1607352, 0x5b114f68, 0xb9566b1d,
+    0x94b6438e, 0x2e8c3f95, 0xdde756b4, 0x9665a8e6, 0x7413b5e0, 0xad588628, 0x9faeeedd, 0xaab2e260,
+    0xb187e34f, 0xbe41f730, 0xccd7cb1d, 0xf3413209, 0x227042cc, 0x4d42d1b8, 0xacc5a29b, 0x3180f855,
+    0x2960848a, 0xba52239f, 0xc6ddd278, 0x686dcc47, 0x9dc5735e, 0x2f3fe06d, 0x08c2b7c4, 0x4ee8ef41,
+    0x78a58f37, 0xaa0c0cd8, 0x45e50e58, 0x411b6f2e, 0xcec61dd3, 0x0d95f4af, 0xc4bf5808, 0x7126065b,
+    0x1ee45c65, 0xf071cc6d, 0x48aea358, 0x6c61cd14, 0x9d020d4d, 0x14b15f57, 0xffd26d85, 0xbc1f3760,
+    0xd927b5b9, 0x276d5645, 0x2c0d68df, 0x85cba4fe, 0x2104dd91, 0x14c03489, 0xa2f6757e, 0x550e3eb3,
+    0xff1d23fa, 0x4019a9e7, 0x2c7ba37f, 0x51d2da04, 0x22e6af5f, 0x17d8fc34, 0xe106aaae, 0xacaf0137,
+    0x3eea44f8, 0x2ef46880, 0x6951e465, 0x118b7ced, 0xe2ad4ad0, 0xa12534de, 0x22f12e06, 0xed151449,
+    0x53f9439c, 0x395e035b, 0xd68034aa, 0xbeae6a9f, 0x1be91010, 0xa998a092, 0xec40c930, 0x316da155,
+    0xbd976bad, 0x39c96cf5, 0xbae3328c, 0x898250b8, 0x63266f71, 0xed4fa2ee, 0x981ebb46, 0x996d41c7,
+    0x5b0dd1f1, 0x4292af77, 0xceb1c965, 0x335c9f0d, 0x74533228, 0x2ca59141, 0xccbd3142, 0x00abd1b4,
+    0x186681ff, 0x433d2569, 0x2f1dbbbd, 0x9cf7b8c6, 0x3e6ec364, 0x485d2c18, 0xe90de7da, 0xf49f7efd,
+    0x42c4714f, 0xd175b111, 0xcafccd1b, 0x02af81e7, 0x0e17af5a, 0x90381b8a, 0x9081a46f, 0x838d0bca,
+    0x8ff97e58, 0x9467b5e1, 0x6cbb4ff2, 0x28ad5fd1, 0x481ff448, 0x88dec6f1, 0xd06dc7ba, 0xca1294a3,
+    0x64ed7b6e, 0x24ce52bd, 0xcd888277, 0xcabb91d9, 0x17c676d7, 0x1e38857c, 0xb55f997c, 0xd80ef63f,
+    0xe90f80a0, 0x69d27b26, 0xbef18bae, 0x6d4b38a0, 0xbd50f3d2, 0xcb70f715, 0xe6a490fe, 0x74b36c78,
+    0xcc0fc8a5, 0x9efb7056, 0x1f80bc5f, 0x58885278, 0x591973c0, 0xd0ed1957, 0x133b9289, 0x854cceea,
+    0x35b72886, 0xb2ba2531, 0x6da57c37, 0x5fe396cb, 0x757f9091, 0xfd975e0c, 0xda3ae833, 0xe23adcfd,
+    0x88df523a, 0xe9671020, 0x658880a7, 0x26b3e5be, 0x6647e50a, 0xbb332b8c, 0x69e30699, 0xeb6affe3,
+    0x20eca077, 0xdb058acb, 0x60a18315, 0x75dfa6c8, 0xbd15aa66, 0x3ea4f920, 0x547cf658, 0xf18f2a5b,
+    0x18192f79, 0x7e07be27, 0x85c1dce0, 0xd1622a2e, 0x22fd657e, 0xd5f827be, 0x5696339e, 0x8b8358fe,
+    0xb263b0f8, 0x78f35572, 0x2dd29595, 0xf290d8d4, 0x88ccc91a, 0x8d9e53e7, 0x294681d9, 0xfe740118,
+    0xcaec2bbc, 0x96d7abe9, 0xabd0980a, 0x66d05fcc, 0x5b61cffe, 0xfc78b4c8, 0xc2d08834, 0xca70b235,
+    0x1667d72c, 0xce4259c5, 0x0be300c5, 0x6db3c876, 0x1b9f1e2c, 0x77ac942e, 0xc406d456, 0x866a745e,
+    0x42826090, 0x02facfd8, 0x80917c1d, 0x48271db9, 0x4aa07d77, 0xef90667a, 0x2929a701, 0xfec893a1,
+    0x919f09cf, 0xc8e96861, 0xe94df406, 0x52a0f199, 0x1869e8ba, 0xef18b06b, 0xb8b578c2, 0x849f7990,
+    0xd25b9c59, 0xe9c2111a, 0xb9f35ab5, 0xf5664bdf, 0x8427331e, 0x33b3f054, 0x7161b263, 0x17babe0d,
+    0xaa4a746c, 0xcf5098f5, 0xdafb0a81, 0xcbc1433e, 0x6752aeba, 0x4a6050d1, 0x65d9e5ba, 0x3161a89c,
+    0xb2bee7d6, 0x2604ca9b, 0x990c4181, 0x91c20c99, 0x4f875d3a, 0x05f69314, 0x872130b3, 0xd0af9985,
+    0xa9307d48, 0xe2713d90, 0xc191c997, 0xbc46e963, 0x47e825dd, 0x2f18d8c3, 0x844a7aa5, 0xfff7bde2,
+    0x3dd1a4ab, 0xdb3d9a62, 0xb2016e65, 0xf3e596a3, 0x8443cff7, 0xe1d840db, 0xd4305127, 0x128422fc,
+    0x30150f8f, 0x6cc6e498, 0x204efbc1, 0x95365aa1, 0xb236959f, 0xe503f0f0, 0xf9cdce35, 0x47fb945d,
+    0x55aee89e, 0x6b09860a, 0x51675a0b, 0xfece6f47, 0xa8205827, 0xd3962f46, 0x4b5313b8, 0xa3c80718,
+    0x270502b2, 0xd3d3140a, 0x20b9307e, 0xf05d109d, 0x1de451e0, 0xa7376697, 0xe01e1132, 0x6c287c4b,
+    0xdb139250, 0x6176b5d4, 0x76fd876e, 0x5e77ab33, 0xb403ea05, 0xde8ada12, 0x0d876f47, 0x606a14ab,
+    0xd798f1d5, 0xbae367f3, 0xfa4932b7, 0x1fe05040, 0x83fff37e, 0x4956735e, 0x0c1835f4, 0x5e1977e0,
+    0x455a443e, 0x03d29c67, 0x40e9d214, 0x9f749adc, 0x77082ac9, 0xb5e499b1, 0x3f7705a8, 0x2ca5a316,
+    0xd4a06c22, 0xd59b049b, 0x406c14b0, 0x558cde79, 0x01bb741f, 0x06100ca1, 0xcda31add, 0xe12123a5,
+    0x7e5a1ce7, 0x9becd993, 0x50b2d8d7, 0xd115b3dc, 0x83d340ec, 0xaf35d29f, 0x56788810, 0x5db81b2b,
+    0x8fc21406, 0x6e4e0ede, 0x3144d7f3, 0xbe0d90df, 0x1e31bdb7, 0x07e62cc7, 0x8462ec13, 0xbcfbbb7d,
+    0x73b57478, 0x9d6879c3, 0x3030c21e, 0xd6a62ea0, 0x128b36a1, 0xcd6ee462, 0xbb75c373, 0xce5f8e3b,
+    0xb83fe705, 0x200106f2, 0x8a54743a, 0xa3554a40, 0x4447f60b, 0xcb56bd93, 0x50947580, 0xa0075e14,
+    0xe61db59e, 0xafbd811c, 0xacd78299, 0x672b4e8d, 0x1afea15f, 0x1cc9fa21, 0x171bb5a8, 0x55025fdc,
+    0x9e37c46c, 0x4f2e0504, 0x45ff296a, 0x9fe7dde0, 0xba5cafc7, 0xd0be7c6a, 0xedb6f10e, 0x8eab5000,
+    0x00000000,
+    0x6a048058, 0x723a80db, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000002535301200456458802993406410752 */
+  { 0x00000000,
+    0x11d18c1c, 0xc72b8d50, 0x8adce133, 0x5b493974, 0x50caec11, 0xc3a47db7, 0x423ab5e7, 0x5d862685,
+    0xbea58f3f, 0xc9a825be, 0x8254dd42, 0x8148f75d, 0x14a56529, 0x7432e4fb, 0xf2bef193, 0x94dbccbd,
+    0xcb33595a, 0xc8adf1f6, 0x6e8c0db1, 0x9b8887ff, 0xcf38b21a, 0xcee2f13e, 0x5fac0bc6, 0xaebc812f,
+    0xd5a15612, 0xc248d1c7, 0x4fca95e8, 0x33062471, 0xeac4f916, 0x3be17668, 0xa3862c81, 0xaa423862,
+    0x95f32492, 0x6438cdbd, 0x16d50816, 0x0746c1d1, 0xfa559dc5, 0x71c85041, 0xd7eea075, 0xafea4fe8,
+    0x7836857e, 0xc44cbdf4, 0x9fae044c, 0xcb7bd988, 0xf02b8abb, 0xa8f1c15d, 0x369aa630, 0xf6cfd05e,
+    0xb78aa3aa, 0x63754299, 0x67af3b24, 0x894ccaad, 0x0397de3e, 0xdbe6c08a, 0x9234d38a, 0x55803408,
+    0x39c6cd40, 0x38d6ceb5, 0x82377983, 0x2eb12b2d, 0x70a546cd, 0x9ffda85a, 0x41fe9e12, 0x8a54fa0e,
+    0x116f4e4d, 0x20149462, 0x272e16f0, 0x8f41f035, 0x3f227c6f, 0x2b030fd2, 0xcf48a242, 0xd19f0d14,
+    0xa6c4b3c5, 0x50202dcf, 0x6d6cda5b, 0x19352f92, 0x5ca23071, 0xf1823832, 0xf144b3db, 0x33e2219e,
+    0xc19b9822, 0x8ce00511, 0xaad14ea6, 0x507e9027, 0x4c13c62f, 0x14edbd03, 0x32a9f6dd, 0xcdc4a848,
+    0xd85609a2, 0xb1026f70, 0x29e894e6, 0x500b82e2, 0x34cd9f5c, 0x771b5739, 0x378db2a0, 0xcaf727dc,
+    0xaaf5774b, 0xebfb75ad, 0xf1cc3f19, 0x43853d30, 0x0bc354f3, 0x93e9b80e, 0x81ebba08, 0x35f1e5fd,
+    0x0badfcfe, 0x04968b5c, 0xb03d02a9, 0x48d090ea, 0x16d89985, 0xf5a53db1, 0x263c27e2, 0x2ea01563,
+    0x86b5c213, 0x6a542a72, 0x60d74a84, 0x8639933e, 0x7ee7244c, 0x054be948, 0x2ead81e0, 0xf3c046dc,
+    0x4ddfac8e, 0x19179d6d, 0x727e458c, 0x01f1397f, 0xf2351ec2, 0x9495699c, 0x57238d99, 0x819014a6,
+    0x82fc97d3, 0x0292f14c, 0x46b604bf, 0x2102305d, 0x40d8569d, 0x0620f674, 0x3111ce70, 0x9a65ca4c,
+    0xd20daf66, 0x01e909b5, 0x418858aa, 0x6251c7c0, 0xa5523d24, 0xa935391d, 0x98200f1e, 0x7878e002,
+    0x16927ed6, 0xdaa5dcf9, 0x1c514279, 0x42f4dbab, 0x89f1af80, 0x4e775187, 0xbd0ccabc, 0xa6d1956a,
+    0x439cbf22, 0x397146e0, 0xb14ef756, 0xc1274fa9, 0x4ddb2d82, 0x667ec745, 0xd416425c, 0x5ff6c765,
+    0x05ed7007, 0x7cac7d44, 0xd3e7704c, 0x76df608a, 0x4c54f3e6, 0xe193b357, 0x34ab54b8, 0xb50d7dec,
+    0xbb7aa755, 0xc8fdcd14, 0x33a3658a, 0x948ce2f4, 0x71746b7b, 0x50b3cc01, 0x3c141270, 0xe3271408,
+    0xff2053db, 0x4601fd16, 0x58afe0db, 0xcf958131, 0xc6a7f856, 0x30badb16, 0x2906388e, 0x265673d7,
+    0x59bc5dd3, 0x07e85d49, 0x39046bd0, 0x3cfa900e, 0x0f36f9fd, 0x9a770125, 0xc095f9bc, 0xb2f3e78c,
+    0xb67b7ece, 0x901cc91f, 0x4ae47246, 0x73be5b07, 0x87428cbb, 0x3d571882, 0x60ed1e80, 0xf0660116,
+    0xf34d5299, 0x7bdc5bf4, 0x3d6bc3ca, 0xbe4f734b, 0x54589e78, 0xf4916a43, 0x5b61b686, 0x189a2680,
+    0x579cdd31, 0x14ea835e, 0xf9016a1a, 0x29bd6b49, 0x1001a493, 0x320feed9, 0x5adb6f8c, 0x7a0bb212,
+    0x81d9b6ee, 0x7edd3db6, 0x668aeb69, 0x8db5d087, 0xdc6315f0, 0x0593ac98, 0x7213cc8b, 0x368ff012,
+    0x57c03dad, 0x58f7db67, 0xd1db7324, 0xda485b53, 0x62ef43e5, 0xd74bcb3e, 0x1336c984, 0xfb2c24f5,
+    0x3d46e8f0, 0x2e6eef05, 0xddd7935f, 0xbd0532c6, 0xe17b46f2, 0xa551ac30, 0x6b24f6e6, 0xe6163921,
+    0xa4fc44bd, 0xb04dd1a1, 0xf0a35287, 0x3aacfa32, 0x636c2684, 0x10dc516d, 0x62186f4d, 0xf69f1778,
+    0xca8af684, 0x759116b7, 0x4fddb58e, 0x9da8e720, 0xa3a6b6b1, 0x0d2254ab, 0xc2f4fdcd, 0xdd7d121d,
+    0x81389de3, 0x54a75e72, 0xb9464fa8, 0xe891fd95, 0xb75c8330, 0xd529f35a, 0xed32bd78, 0xf3564f1b,
+    0x57cdf7cc, 0x21f86b18, 0x34be0a87, 0xfb7ed6fe, 0xdec9ed6b, 0x81ae6c10, 0xda1c75a5, 0xb28d2a96,
+    0xd1b8740b, 0x5f5de506, 0x39e9ea9b, 0xd6940355, 0xd5274178, 0x2eb0391d, 0x8ad7c100, 0x93f522f3,
+    0x47583207, 0x354eef86, 0x8d3e6626, 0x95647d71, 0xf8f0a051, 0x978e4429, 0x470aa3e4, 0x32026d48,
+    0xb523bdaf, 0x3afc3dcc, 0x245ab6d1, 0x6d6e0389, 0x82440caf, 0x01ae93f8, 0xafa09e91, 0x580b08fa,
+    0xe246ea59, 0x28da878b, 0xed7b6d13, 0x2f626905, 0xafb70eac, 0xa60b43b4, 0x687ad77e, 0x4eba8e0c,
+    0x955c30ea, 0xa6c1dc9c, 0xb142f166, 0x83a9b443, 0xdb81f6dd, 0xb45b3776, 0xd7add8f0, 0xd872e35e,
+    0xa4bb8881, 0x29875ee1, 0x664a8f1a, 0xb7a9198e, 0x884e56e9, 0x483532b4, 0x29bced91, 0x3f875d23,
+    0xd1f46184, 0x977ba61c, 0x9d1fded9, 0x07dcb3d0, 0x3986a615, 0xaa1b1e2f, 0xf9784165, 0x8079c1ad,
+    0x0502f36c, 0xfa067255, 0xcf2b31c3, 0xddde03bb, 0xe18dd9d3, 0x8c1f6456, 0x12f04ad6, 0xc36551ba,
+    0xa73205d2, 0xf2ded55f, 0xca600f13, 0x1c4ad9c2, 0x19821f5a, 0x6e8c3813, 0xbf6be3fc, 0xed4184c0,
+    0xec062c8c, 0x2efd21b0, 0x4d9f8157, 0x0be42cda, 0x71c3d5c6, 0x1fbda29f, 0xb3c9b72d, 0x13ad7d0f,
+    0x50ec89f7, 0xbdf0992c, 0x89cc2df8, 0x7a1f7c4a, 0xa98785d6, 0x1437c3bd, 0x3356f6a4, 0x9707fc7f,
+    0x3beb40d8, 0x0d70a12d, 0x35d3984e, 0x294a6a22, 0x43ae2913, 0x7a486ba0, 0xa6f512bf, 0x57df5742,
+    0xcafa8173, 0xf1c7e702, 0xa6d4fb34, 0xd81757b9, 0x6ce024e0, 0x64ee8d7b, 0xe0a4d3bf, 0xb3e96492,
+    0x321ad739, 0x9de68740, 0xb6fa26aa, 0xc2812d31, 0xea04d854, 0x86a4c906, 0x9768b8e5, 0xdce9393f,
+    0xb573cc77, 0x66c5d295, 0xe0677862, 0x889daf86, 0x6421f744, 0xa692798e, 0xf0bad50b, 0xf7151b83,
+    0x0d95a213, 0x870f938d, 0xb59ff42b, 0xfd7852a3, 0xc96c1465, 0x6ba7e454, 0x12f5a2cb, 0x351ac442,
+    0x1e2957be, 0x243cb36a, 0x5559bfc7, 0x0fdbe99c, 0x3ce59746, 0x493abdb1, 0x9301ad30, 0x99e482b9,
+    0x441d9aae, 0x7ccda98c, 0x0a9179de, 0xaafaee13, 0xf97f055d, 0x635c81c2, 0x42edc7b9, 0x3f48d3a7,
+    0xd3160767, 0x49cc004b, 0xac12c079, 0xa9cce4ee, 0x7a89ee90, 0xd555e162, 0x9034b5cf, 0xbc0830e2,
+    0x71742aab, 0x530d2013, 0xbad921db, 0x10adc8f2, 0x0c2c7421, 0xeffabfa9, 0x07748100, 0x23910f6b,
+    0x3bd3c6e6, 0x11a839aa, 0x07d10b0e, 0xd42b4d8e, 0x5caa5cd0, 0xb88ff072, 0x10eb045f, 0xd8f8e588,
+    0xcc6f295d, 0xf9c8e30d, 0x99cc8b85, 0x2ac498ad, 0x26a29c6c, 0xaa2d5c26, 0x78885acd, 0x9f0680bd,
+    0x7a08691d, 0x82f5a4ff, 0x42234c62, 0x8c363008, 0x55d0d66c, 0x26c05229, 0x8101d9a0, 0x83643e5c,
+    0xa7a81f7b, 0x01561f45, 0x04830611, 0x3e4a4f85, 0x47307b83, 0xa685b167, 0xd49575a0, 0x2b76d402,
+    0xf205be35, 0xe75dae55, 0x3ce1a848, 0xb8836b2e, 0x200c4da7, 0x729c250d, 0x2abbc4c1, 0x6f24fe84,
+    0x5a5e6de0, 0xabcb3ebb, 0xb5e57eaf, 0x89cf70e4, 0x956675c3, 0xb43c3dba, 0x65ce3a37, 0x8b169d67,
+    0x995bf114, 0xc86e0d7e, 0xe3b7d84a, 0xb94cb124, 0x5c7850c2, 0x00051d6b, 0x641b0b1c, 0x12ab253f,
+    0x43d1f04d, 0xf2090681, 0x8bd4dc6e, 0xccbbe525, 0x48a272ec, 0x92748ca2, 0xd518f336, 0xe2188e4f,
+    0x5efb2458, 0x42be83ea, 0xf7108213, 0x8b1b8644, 0x0506b1ab, 0x4a533f7a, 0xd983257c, 0x009c4e46,
+    0xd95dac6b, 0x41533822, 0xd7b72c29, 0xd5263364, 0x7b548965, 0xcf960b03, 0xcfa7064c, 0x2da3a7ea,
+    0xa4c6e7cf, 0x632bcbe2, 0x6d452703, 0xefb91aec, 0x69b2b28b, 0x190e0cb5, 0x081aeb54, 0x3b1db5bb,
+    0xcf7a0835, 0x61becb1b, 0x3ba3f620, 0x4a22b88c, 0xe17ce0f7, 0x9f9fec8e, 0x5e58e0f8, 0x31da44d9,
+    0xf0478d3e, 0x64d68128, 0x431d0b2e, 0x233461e7, 0x75d1abb4, 0xbe57205c, 0x0d83f1d9, 0x14bd9c4a,
+    0xd9e01890, 0x5ed8db65, 0x8f947e9c, 0x3b28f603, 0x0cd95c85, 0xf0ad07fa, 0x842e2aef, 0x05cd68e9,
+    0x628fe374, 0x34a5e010, 0x43a3857e, 0x82530c1e, 0x6ac41f04, 0x811afbec, 0xee4ab253, 0x0b4aa091,
+    0xcd00375e, 0x0e65bf64, 0x39f4c6c6, 0xa0c72c66, 0x762edc09, 0xc8f05346, 0x52fd1893, 0xbfe3b967,
+    0x07af915c, 0xd329760b, 0x2181c1fa, 0x66cc8eec, 0xe401440f, 0xc1384e49, 0xf1b4ebe1, 0x418a6691,
+    0x47f5e0fa, 0x8f16bf44, 0x78c176ab, 0x8aab757a, 0xdbcbaa73, 0x56c3540a, 0x55d917e2, 0x3a8e7d79,
+    0x12f40fbc, 0xcfd61e16, 0x854ee1d9, 0x7ddcbb43, 0xd61d344d, 0x63de8af9, 0x3ea62327, 0x76e647a9,
+    0x116b772b, 0xb8720bf9, 0x76c58c74, 0x77e9ab90, 0x0b5160ea, 0x20984d70, 0x855f45fe, 0x4eb2cb1a,
+    0xd072f348, 0x47bd5efd, 0x6f4ceeb3, 0x75492968, 0x125b6bb7, 0x5f8d68c7, 0xa3292301, 0x0fec12b7,
+    0xbf9daf7e, 0xca911c23, 0x41f30a1d, 0x573e2f5e, 0x0fd43432, 0x76431230, 0x3860916e, 0xc61cc045,
+    0x956f6d8f, 0x84204dcd, 0xf6416fe0, 0x2a77027a, 0x099159cf, 0x2b70a0ac, 0x4a18d019, 0x18531f9d,
+    0xcd41a027, 0x08b39bb9, 0x16ac88b2, 0x8de1c2fc, 0x94f2211d, 0x84357600, 0xa7f86423, 0x6791ccd1,
+    0x86985514, 0xcce9fe04, 0xef3c9fc0, 0x2723a8e4, 0xe03f6e9a, 0xe74afa71, 0x6dcf8872, 0xbdc0bde4,
+    0x3221e63f, 0xb7d8af3b, 0x71037532, 0x71895de8, 0x9d44869c, 0x2f8be64b, 0x387d3835, 0xfd9cd77c,
+    0x8ed34b31, 0xe24d3048, 0x8ce309b8, 0xaff245ce, 0x256e12f9, 0x6444f59f, 0x95ff70a0, 0xcab9c1bd,
+    0x5cf2451b, 0x9bfafa5d, 0x1fbf5d94, 0x09fab3fc, 0x28e3e43d, 0xea630552, 0xdfd4a9bd, 0xca211f1c,
+    0xca2610a2, 0x6d8caa94, 0xfec1b072, 0x17eb9c7a, 0x89276006, 0x3aa296e6, 0x0870f616, 0x25ca80b7,
+    0x851ea1ff, 0x8c59a5ee, 0x8543d47f, 0x24f5cc73, 0x8e014b29, 0xba55d882, 0x30d162d7, 0xffd384b0,
+    0xcec94531, 0xc836210f, 0x6e894e76, 0x2f189a77, 0x726aa93d, 0xf1b8580d, 0x17953a15, 0x6234dc62,
+    0x65f885cd, 0xce1a2f68, 0x1a6a5d53, 0x6dfeed0e, 0x97d0518a, 0xd80d5e72, 0xc9d8b79f, 0xb6417c49,
+    0xd9b0a070, 0xe8312ffb, 0x49e1b0f4, 0xf1595e1c, 0x4aa9fa47, 0xd7597d7b, 0xd85aba45, 0xb171a8da,
+    0xc73a28cd, 0x749d7b6f, 0x4a0354a9, 0x22d39cb5, 0xe98520e9, 0x2f6f6206, 0x9552b789, 0x74542706,
+    0x669692d0, 0x2455e30c, 0x665a6de9, 0x768d4c7e, 0xdc9f2a42, 0x20676145, 0xcb6bfc54, 0xcc04d346,
+    0x3eed7c0e, 0x2dfab977, 0x3710dea4, 0x183c864e, 0xab43557c, 0x1401d327, 0x9d82d920, 0xc4071d6d,
+    0x306512c4, 0x8e201933, 0x7aa89873, 0x41026dd5, 0xb59ffd1b, 0x2d895d71, 0x7ca4060d, 0x30b86aa8,
+    0x98dacb27, 0x157c03a1, 0x197c67d5, 0x4de85ee1, 0x08947060, 0xf2cea65b, 0x210162a2, 0x7e4d4ffd,
+    0xa7e71fdb, 0x1e63e41f, 0x44d3acb3, 0xb3ce4aed, 0x1a5116b7, 0x4e73d9b1, 0x3c7c1751, 0xfeea9127,
+    0xbef6a944, 0xd7b96617, 0xf82c321f, 0x29e1eb8e, 0xdb38b907, 0xe7188de9, 0x51f9328d, 0x6fa7f0f2,
+    0xc784c840, 0xe3be92f7, 0x0022057b, 0x0553f3b1, 0x8c15cb44, 0x03e4f731, 0x74a45423, 0xaf0770a8,
+    0x36570d05, 0x00f19f7e, 0x863d5a0d, 0x05633aee, 0xbe984e83, 0xd03ea717, 0x2785b624, 0xdae7950c,
+    0x35b209f7, 0x9923a6d4, 0xb46da0f6, 0x50c87999, 0x416e7616, 0x019b2208, 0x8201bc70, 0xe86ef0b4,
+    0xb9a30d51, 0xea00fd6f, 0x5d768e2b, 0x831379ed, 0xc54a9c07, 0xd22c6629, 0xe8f9f3b0, 0x1c2dac4c,
+    0xe4136abb, 0xe9e8075c, 0x54ade7cd, 0x72a63fe5, 0xc18f4560, 0xadae2135, 0xe0c8670b, 0x1c77cac0,
+    0xe5e8b578, 0x0268704a, 0xc39a8eef, 0x7d9a43e9, 0x4146f2d3, 0x02e1b4dc, 0xa0db2487, 0x6ad1c2da,
+    0x0cb25054, 0x661881da, 0x809fc7fc, 0x3c8bff1b, 0x109344ac, 0xc009ec22, 0x4aa761ad, 0x58630abf,
+    0xc6378ce4, 0x80d766f5, 0x915e02be, 0x17dedf15, 0xd66cb8f5, 0x6ded477f, 0x67a88ac2, 0x62733fc7,
+    0xb62bcf18, 0xf85787d0, 0x7b5e47da, 0xf5887f3b, 0x93e33ed2, 0x8ecfceed, 0x60f3325d, 0x25a97eea,
+    0xe53497dc, 0xbaba9282, 0x0b3de5ed, 0xb90c89fd, 0xa5388b8b, 0x3d90df1b, 0x1cf5beb3, 0xa04977ba,
+    0xe12686f5, 0xc5701027, 0x795ba32c, 0xc4b3bded, 0xd7c7a3e7, 0x83ce6bed, 0xf20bb770, 0x2e1ecb3d,
+    0x27fe3fe9, 0x869568e9, 0x31d05055, 0xdea25ffb, 0x17461468, 0x47a83181, 0xc6bb5111, 0x39393030,
+    0x27e90ea5, 0xb40415dd, 0xb990a32d, 0x8a2e892f, 0xc49cf60f, 0xa986b13b, 0x37d7d331, 0x7cf85706,
+    0x3a3693db, 0x65ed6a34, 0x0214da9d, 0x74dead47, 0x6e51221e, 0x4e5160af, 0x71ccbddd, 0xe373a066,
+    0xe134786c, 0x6e7c905f, 0x6554a982, 0xd4f51dc6, 0x37657427, 0x923e7df1, 0x29e8779c, 0x0390c8ad,
+    0x8786c3c3, 0xd92312e6, 0xa72b9271, 0xba7ddfaa, 0x821cee44, 0x6b12d929, 0xa49395d2, 0xc611f7fa,
+    0xe0ddc81b, 0x5bb1e55e, 0x907751c8, 0x74116ba9, 0x6a75806d, 0x52489273, 0xddbe6666, 0x4a9591d0,
+    0x3b51ecfe, 0xee0ae84a, 0x2ce59920, 0xa8c5e1b3, 0x693dcad5, 0x40322cab, 0x0254affe, 0xd84c96b5,
+    0x84792cf7, 0x51b6f1e6, 0x7f67fade, 0x4d776b7e, 0x3c60d6ba, 0x4b93403e, 0x84efc3c1, 0xdcac1c0b,
+    0x5fd0f6c1, 0xf52ec1bf, 0xb39164d1, 0xe0952631, 0x3102930d, 0x428690ec, 0x01ce3c7c, 0xb46f5c0a,
+    0xc196dcda, 0xa45134e6, 0xf1156fec, 0x62d6a8fb, 0x8f2c67e2, 0x43a42cf6, 0x8aba1e34, 0xfe04355e,
+    0x7e6c0ce6, 0xa61fd834, 0x92ba008c, 0xe867ce59, 0x9050ab1d, 0x64fe5d4e, 0x64984e15, 0x00180fa1,
+    0x4b070cde, 0xa1ae9297, 0x4568a9cf, 0x2591ee11, 0x843c446f, 0x3c9ba598, 0xd1e07e5b, 0x091128a8,
+    0xc2e462ef, 0x7e2a14d5, 0x344f9d67, 0xc543222a, 0xdfbba4d7, 0x24ef339c, 0xead540c2, 0xcef53aef,
+    0xb70004e2, 0x486c2ac3, 0x0bc1d617, 0xec6d2628, 0xf7404343, 0xaa7807e0, 0x4c02169e, 0x300dfd44,
+    0x7a901b36, 0xdb0acf73, 0x2c57870a, 0x2dac3d0e, 0x3b76d479, 0xb5ffdaa0, 0x3b1f149c, 0x10dc23f2,
+    0xc2402ae4, 0x02b2f71b, 0xdc193a00, 0x58ea6efc, 0x4c33eb80, 0xf271f928, 0x4bd0cb1d, 0xf1772316,
+    0xc4c59e4f, 0x2f078458, 0x7a1d4c06, 0x0889ec8d, 0x94ce3282, 0x52078854, 0x00de6cd3, 0x1a74c1bc,
+    0xd8147bb5, 0xe9a54734, 0x4462a64a, 0xc9648e5a, 0xfd8aa57f, 0x1d476b74, 0xc615f146, 0xa6b9a1f4,
+    0xd01ba2ec, 0x2259e7be, 0xda368554, 0xa26b7fa4, 0x1cabb0e2, 0xa30e37e6, 0xd11d2d87, 0x06c8cc42,
+    0xd1d6b97e, 0xce7f0912, 0xa1a3d8ea, 0xcc10aa5f, 0xbb96c1af, 0x156ec4d4, 0xda48d91c, 0xe88a61f3,
+    0x726bc67d, 0x747a8352, 0xb430b274, 0xaef3620a, 0x696db79f, 0x41be3191, 0x4607b11a, 0xbf1c590a,
+    0x00000000,
+    0xb502402b, 0xb91d406d, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000001267650600228229401496703205376 */
+  { 0x00000000,
+    0x77889b3e, 0x49211e3d, 0x32f141bb, 0xb5c7d1bf, 0x9d1e6083, 0xc877f819, 0x051698f6, 0x55df5365,
+    0x21945c68, 0xfe62bc29, 0xbc63a59f, 0x577a77d4, 0x319b14b8, 0x53c82cf3, 0xbb6ac10b, 0x82a9c28d,
+    0x0d689d11, 0x4a66028f, 0x13b9d3b5, 0xb17161a2, 0x13c200ff, 0xbfa173dc, 0xf0fee4c5, 0x915a25af,
+    0x39f97508, 0x146d709a, 0x4e6d414e, 0x2061fd04, 0xeebb24b8, 0x8ff83191, 0xdc258d7f, 0xdf196e6c,
+    0x6b936a18, 0x28cd54d4, 0x754ea7d7, 0x693b3820, 0x8bf4cc98, 0x3504fdbd, 0x41f69279, 0xdcfd7703,
+    0x52d429bd, 0xfb88af57, 0x13117f18, 0x088f4839, 0x900bc018, 0xeead1ece, 0x1742f538, 0x39aa0569,
+    0x11129c0b, 0x5521f60c, 0x62adb662, 0xd0a43b34, 0x662fac42, 0x010ee740, 0xa884095f, 0x4b3bb38a,
+    0x84c7b07b, 0x1cb3e4d5, 0xc96cb45c, 0x0a52cca1, 0x0a86e129, 0x4b6a3d5c, 0x3399049d, 0x979d075c,
+    0x3d6fa3c0, 0x04be486e, 0xc6ddb65a, 0x21dbe6ac, 0xfc31af8e, 0x21367358, 0x08d3d636, 0x72b60eb6,
+    0xdf920162, 0xd3818cbf, 0x59ebcd49, 0xdbc2d3ed, 0x53cae9d0, 0xc1a1d065, 0xd368fc7b, 0xccdace84,
+    0xfff64076, 0x7f046c6d, 0xb11bf0f1, 0xfbe5cb47, 0x9eeb5d0b, 0x56a703aa, 0xa3730970, 0xddd04c77,
+    0x0c3659df, 0xa03204ec, 0x0c9c588b, 0x402e2a7c, 0x2ab9d75c, 0x203e9491, 0xf9834454, 0xba01ff00,
+    0xb7c1bdbb, 0x442eae4a, 0xda8bcfeb, 0xd73efc6c, 0x1c318935, 0x03f3607b, 0x069682ed, 0x4988814f,
+    0x70bb638f, 0x05bd4cf3, 0x292955ea, 0x92fe448c, 0x57a31ed6, 0x3e69eee8, 0x0c907034, 0x7aede0ec,
+    0x95542731, 0x6889961a, 0x31907dd1, 0xb85eff0f, 0x83d7aefd, 0x4ee227d0, 0x65064b24, 0x51bd2d2a,
+    0xf65cc21b, 0xf4b7ca59, 0xa31680f5, 0x19cc0651, 0x553dc85f, 0x12ab9560, 0x73e28ffc, 0x6dc09d8b,
+    0x7bcfa022, 0xb0d4106f, 0x1f8221ac, 0xb3d7abf3, 0x21e08ebd, 0xc6409892, 0x08af005d, 0x64f0b73c,
+    0x89856284, 0x926f3bc3, 0x32fc1159, 0x5ba666cb, 0x67da12e8, 0xfd1c8ed1, 0x6aad0710, 0x115e4fec,
+    0x363a17cf, 0x0943b371, 0x723ea1c7, 0xaaa82463, 0x4ee4693d, 0x6aef0c5b, 0xca4df511, 0xc7680c13,
+    0xee189e1a, 0xa4c8d745, 0x9bd2ed0a, 0x9c3160d5, 0x8ceaa6ae, 0x9e88a3a1, 0x161bc312, 0xd71c9900,
+    0x14043f41, 0xed0fbde4, 0xaca80233, 0x36f697ed, 0x099ed43e, 0xc35242a9, 0x6e222987, 0x5462169c,
+    0x5e1c4596, 0x576f9d05, 0x797248b4, 0xec0d8bac, 0xbb514723, 0xf6a39999, 0x015f32ba, 0xc9cd1c87,
+    0x4e05e1a6, 0x0298b166, 0xc8795b41, 0x9c879c2a, 0x2bf6deb7, 0x29b3d3dc, 0xc5d2212a, 0x5c596f8b,
+    0x49c013b2, 0x75e6c66c, 0xef65085d, 0x482ef08f, 0x28dd95f0, 0x87121202, 0x4d4e402b, 0x9b058c40,
+    0x38feb898, 0xb5cdf70c, 0x984184f8, 0x6e56a049, 0x5cdb4fa1, 0xae95b843, 0x6bd480e8, 0x5d631bb2,
+    0xeb3c13ff, 0x464dd659, 0x9fa39b5d, 0xa8700242, 0x8e7638ed, 0xe62b705f, 0xf53fc71c, 0x4a5d8b5b,
+    0x744837ac, 0xb71954a0, 0x707f2a45, 0xaba410cb, 0xd7e7362c, 0xa85917fc, 0x5e90b59c, 0x87bb646a,
+    0xd6d436dd, 0x4d7c5b67, 0xd01bfef7, 0x94bed210, 0x0fe63795, 0xadc65828, 0x2bbd70ad, 0x84770305,
+    0x3293de9f, 0x57c0d365, 0x6c9307e8, 0x9203cfc5, 0x54094ae9, 0xedcbed2e, 0x864da529, 0xc47bc5ba,
+    0xcdf71082, 0x24ca1509, 0x9a699423, 0xab1b9b6b, 0x2dd8a178, 0x5edc5e74, 0xdcb69ef8, 0x3847b36a,
+    0x4afffe5d, 0x6807913c, 0x3f657b9a, 0xee202bb7, 0x17c797db, 0xece4a32f, 0x6ef2e9ef, 0xac906e71,
+    0xa802f16e, 0x30844853, 0x95364f14, 0x18f46e33, 0xcbf6dc1c, 0x5b0185e7, 0xef8c88a8, 0xf710a0b7,
+    0x6e17739a, 0x05a8cb54, 0x20242ece, 0x19fd6dde, 0x2380f168, 0xbf30e910, 0xea59e1c1, 0xc6db7a46,
+    0xf3bb4aa8, 0xd9af2c02, 0x6b87e936, 0x1a355a71, 0xf976e40f, 0x3dca4b80, 0xd81be7ed, 0x775c1a05,
+    0x03cc9d16, 0x5af2789d, 0xf6fd9858, 0xdc2bbb08, 0x9dc15a5b, 0xdcef36c2, 0x7fc45c66, 0x97714d48,
+    0x5c8be315, 0x21b55ec2, 0x29feb529, 0xc26f1905, 0xce01145d, 0xa579bfbc, 0xf22278db, 0x0354664e,
+    0x01c019a1, 0x9f365fd1, 0x7f831d2d, 0xb13cdfd8, 0xf30d5eea, 0xe5037da2, 0xb1620496, 0x637613d5,
+    0x306dd05e, 0x492a95a0, 0x0adaa2d5, 0x59ff84db, 0x3ecb2a22, 0xe7f445c8, 0x2aab3365, 0x53f2ffc2,
+    0xad4f5531, 0xdcc57e7f, 0x28f745f7, 0xda529bd1, 0x9da54ac8, 0xb6746597, 0x885f717b, 0x469ba0d1,
+    0xabe32075, 0x2b68f0b7, 0xf953584f, 0x78b92e57, 0x690fdc6a, 0x46d81712, 0x82c2f7d0, 0xcfe9a5e1,
+    0x8d6ba4ba, 0xd2dc7f64, 0x56761a63, 0x1f79c11e, 0xeb2607fb, 0x0d095268, 0x8da58346, 0xee218639,
+    0xed67b26b, 0x6641f7a0, 0xc95f3600, 0x85299cb6, 0xcee9748a, 0x6a124fcb, 0xcbf6e98c, 0x86d6cf3b,
+    0x83fbea60, 0xb9827520, 0xc1359e7d, 0xc375ca61, 0x709d4c4d, 0x6255e58f, 0x22732bf1, 0xb37719d8,
+    0xb67151d0, 0xf94eccf7, 0xd250313f, 0xec8da51b, 0x0107d35d, 0xc1b3cbc1, 0x2a0a0f32, 0x7ba0718f,
+    0x46727e62, 0x4e5f809c, 0x91362e76, 0xe449fadc, 0xf27caf7d, 0x1b62116d, 0x1598a9bc, 0x6ba10935,
+    0x065707a9, 0x808c8124, 0x6de94ad6, 0xd82acd57, 0x613e5ddc, 0x469566ff, 0x85f9f796, 0x470e2ed7,
+    0xbd4f0c9a, 0x70e9d9c8, 0x3304d2fe, 0xe83734df, 0xb329bc2a, 0x3f47ee96, 0x34219be3, 0xd50bb13f,
+    0xd9c0c0c7, 0x7f07d0a1, 0x6acea31e, 0x9c458f74, 0x54f96f57, 0x9596355e, 0x5a011932, 0x708cf591,
+    0xcbf42a8a, 0xeaa1fdc1, 0xc93ee598, 0x4944174c, 0x4934913e, 0xa3a84959, 0xafd33856, 0x12a0fd29,
+    0xa197537f, 0x8ce3df0d, 0x377eb1c1, 0x00306a33, 0xf1437dfe, 0xd7d5d980, 0xad03d390, 0xf256d0a1,
+    0x68518dc7, 0x33ba2361, 0x9ecd9718, 0x04fdf9b0, 0x07dccbbe, 0x7381a17d, 0x79aad6db, 0xc8031a74,
+    0xaf5a8d4f, 0x960410fd, 0xcaae418c, 0x337bfd09, 0xeca6147c, 0x340e0d37, 0xf6866ad6, 0x370eb383,
+    0x85d18d46, 0xb48fc12c, 0xbe6eb7e0, 0xb301128e, 0x4a1443ad, 0x2fb32fb1, 0xaa0e004f, 0x88883b1a,
+    0xdef8ada7, 0x7ccb940a, 0x8452e73d, 0x327e44a4, 0xaec4f5cf, 0x4917b6fe, 0x2fa5b718, 0xe583f27a,
+    0xf5cd5e6b, 0x0b7cbb14, 0x3f9a9dbe, 0x18308f54, 0x9664d99c, 0x2f601bde, 0x1f433b09, 0x0acf47ef,
+    0xdcce7f3f, 0x8a611dbc, 0x08201642, 0xe523173a, 0xe1f4c3b6, 0xcfc0b1d8, 0xe3a5561e, 0xec2a8343,
+    0xa133da0c, 0x6689bef6, 0x234dcfee, 0x4e0f573e, 0x20589325, 0x3512b364, 0x7a007fb7, 0x4398ef9b,
+    0xda052551, 0xc359ab00, 0xa05f77cc, 0x1778686c, 0x3bc808ef, 0xe2f610a0, 0xbedaf361, 0xf57b4186,
+    0xd5d69eb0, 0xef3670cd, 0x9a47798b, 0x8e60e9d6, 0x15734d19, 0x5e539503, 0x26d816ca, 0x020806cd,
+    0xdeb6c75a, 0x9d7cc108, 0x0f4157ef, 0xce901d89, 0x6f2d58a3, 0xb91b1b7a, 0x062fdcbb, 0x28feec61,
+    0xdfd7ec1c, 0x2fb4a70a, 0x40a9aaa0, 0xb3a9194b, 0xa63265ea, 0x16d8146d, 0x3012673d, 0x1237e3e7,
+    0xa7c5fbe8, 0x1748d9b2, 0x3e034633, 0x25e0a9b9, 0xd1fb1ab9, 0xe91c9c50, 0xc780a657, 0xf980425e,
+    0x7cce8b98, 0xfd5a4f03, 0x2b6d0d33, 0x22ea3420, 0x59767e0e, 0xcb424a0d, 0xdc39c91c, 0x9ce04568,
+    0x1afbdb33, 0xbcc46831, 0x9ce9291e, 0xe01d66f3, 0xaf50ffec, 0x55997782, 0x6f552e82, 0x2e03bf7b,
+    0xff67fe62, 0xcc56eb68, 0xc95ef693, 0x72edc241, 0x8a8e4543, 0x2c79b61c, 0xd8e11d87, 0xeb006f36,
+    0x19e43f79, 0xc8cff4ca, 0x4d78243f, 0x87fa9da7, 0xc10c12e4, 0x80bc9ffe, 0xb6fc9bfb, 0x90fc952d,
+    0x1d21b5ed, 0x2dc82256, 0xf776f2bc, 0xdf68b96a, 0x2dcae92b, 0xb74c2f1c, 0xda20d2c5, 0xa8dcae0d,
+    0x90a166b5, 0xc26ff430, 0xeada3048, 0xc95ac27f, 0x0b24f8e5, 0x96307275, 0x438ec183, 0xccb2b387,
+    0xb8ce7343, 0xa0a80053, 0xd3895848, 0x5fb13034, 0xff99cf6e, 0x392a3ea8, 0x406ba0c1, 0x9d89b782,
+    0x15542e12, 0xd9ad6060, 0xa84edaeb, 0x66eabfc3, 0x4aa353a4, 0xc5bd22fb, 0x2cf2ab67, 0x2b2e5565,
+    0xac27c392, 0x13fcc9eb, 0x3dfe42b2, 0xb29c9bcc, 0x8cea2bbf, 0xa5e57939, 0xd105c35d, 0x58cff4f7,
+    0x6c123b1a, 0xbbee72a3, 0x20e5a502, 0x69508458, 0x7c35ede7, 0x41f25ac9, 0x877e4b94, 0x876b0424,
+    0xd476ee21, 0xc80da327, 0x3dfb6621, 0x40390916, 0x8d94ef53, 0x7dd464ca, 0xdb1b17ae, 0x628de6ed,
+    0x2a2401e0, 0x2633cf44, 0xa54e2508, 0x29f0e24c, 0xe5ae95b7, 0x4e6b405b, 0x6d430626, 0x7c24359f,
+    0x6638f571, 0xd258a1e2, 0xc79eb8cd, 0xd63ab614, 0xdf135f29, 0xecf1e9da, 0x4a332ebc, 0x4318c3f4,
+    0x36e1eed0, 0x52191a0e, 0x3317f109, 0xf6d372be, 0x8b2784e3, 0x5a65bf45, 0xf88c2b81, 0x4eee19be,
+    0xe5c9bb14, 0xc22b4cc1, 0x8c126130, 0xcc8637dd, 0xcd6563be, 0x7aec07aa, 0x7f609db7, 0x3d42aae4,
+    0xe604fa1b, 0x10756c61, 0xae550f8e, 0x05b7a9a9, 0x17aa688c, 0x5c8e9479, 0x71b20ea2, 0xd26438e1,
+    0x893c027b, 0x61b1f14c, 0xc7cda1f9, 0x7100bdef, 0x1d123161, 0x03ab1cb3, 0x693a089d, 0x0be913a5,
+    0xe3d870dc, 0xac273d8a, 0xc9adcf28, 0x732dcd6f, 0x3c8c9135, 0x9af16b45, 0x522d3c77, 0x614f1d48,
+    0x85bc9d79, 0xd34e9392, 0xca4c03b8, 0x813410c8, 0x40bdb2b8, 0x3e97d17a, 0x963fad5b, 0x70dc470d,
+    0x12969e9f, 0xd194bf50, 0xb4ba8e95, 0xd8e0c93c, 0x6f5f657e, 0x1d536ef2, 0x00b6d5cd, 0x2bdeecfb,
+    0xd824b3a4, 0x0442d64e, 0xf7a94d1d, 0x837d0da6, 0xee73055d, 0x6c6534d7, 0x235555a7, 0x2aee3304,
+    0x4b55bdeb, 0xf38fa138, 0x39041fdb, 0x5e5e1068, 0xa2cca80c, 0x5d822187, 0x3fe54be8, 0xa45087ec,
+    0x659e53d2, 0x1c66ea87, 0xd029bb90, 0x540746f1, 0xb8b9a40a, 0xb3c5ee4d, 0x2f48cad5, 0x64f57824,
+    0x03872440, 0x7eaf70f9, 0x4862bdff, 0x7b63c4d3, 0x9548dc87, 0xadbe6e50, 0xe55c5228, 0xd661343d,
+    0x2ea89fd5, 0x94319947, 0xe62339f5, 0x6dc82a3f, 0x6f1d18f0, 0x6f70aebe, 0x175f0a6d, 0x1631a93f,
+    0x7ee11f3d, 0x5ea427bb, 0x493834eb, 0xbf9b230e, 0xac1521f3, 0xb8702c9a, 0xdc9b16ab, 0x16458c53,
+    0x5752e078, 0xf73e1ebb, 0xb29c066a, 0x1e7c5a97, 0xc0ff606a, 0xbb87b1f6, 0x83f9342f, 0xc6472edc,
+    0x8291b8bb, 0x992b80b9, 0x5fb8b720, 0xe08d7b17, 0x49dbc46d, 0x96cd2138, 0xd9b4a25b, 0x366ce43a,
+    0x9c8dcefd, 0x6aa31ef1, 0x7b6dad96, 0x47bdc219, 0xf93595bc, 0xbc06a4e7, 0xfeeca56a, 0xd11d6bd5,
+    0x5d6165fe, 0xa922f8fd, 0xa0b2ef05, 0x5ae80108, 0x68ffc7f1, 0x5e974f32, 0x8ece931a, 0x7a58e308,
+    0x0ed3950e, 0xe2b510dc, 0x3befc4c8, 0xde1b38db, 0xcac440fe, 0xf4fb37ad, 0xfdf839f3, 0xbe203fd9,
+    0xe56363e5, 0xd6aa9f13, 0x6caf5509, 0x30e08a18, 0xa3fcfc15, 0x9dad4996, 0x868256a4, 0xbfa6be40,
+    0x8ceb64c0, 0xd37db4c9, 0x8452a6f3, 0xe34187ed, 0xc3fa5621, 0x1ddbafc1, 0xb2b62018, 0x6bc75133,
+    0x73f777a2, 0xc24bbb48, 0x713db46a, 0x1610f1a1, 0x695c5dc8, 0xa6c27352, 0xc63ca513, 0x190f0652,
+    0xa1f1f71b, 0x0729e9ef, 0x05559191, 0x98e72f06, 0x4838b7b7, 0xf176658b, 0x97b76a9e, 0xd74dd575,
+    0x01b23248, 0xaec1f5b6, 0x63959a5d, 0xc76f464f, 0x97bdbf86, 0xb1c7b1e8, 0x1405e56b, 0x8821a1cc,
+    0x81b746c8, 0x8514c10d, 0x6dfcb9bc, 0x3b206df1, 0xb44d2304, 0xc45814e9, 0x8527fa8c, 0xbf3e20c7,
+    0xeed636cd, 0xf6712496, 0x3b6436ab, 0x0f8e0302, 0xe105a486, 0x54cadf96, 0xeffbedec, 0x4023465c,
+    0xb037d3ef, 0x66f63158, 0xf5fd8d28, 0xaf86fec2, 0x94b797c1, 0xefb9b3f9, 0xfccf9e30, 0xf63935cc,
+    0xf053694b, 0x94eeb94e, 0xd1c48dbe, 0x6f4b7799, 0x1d9a871e, 0xd6fef37f, 0x61df1ab1, 0xa251faba,
+    0x15b7e455, 0xc9c30671, 0xe68189f7, 0xd0d8e70e, 0x62e1df98, 0x14b909c2, 0x1b1eaef7, 0xb3142bf8,
+    0xb2a82909, 0x02068cc1, 0xc36f3b92, 0x101bf437, 0xaf4160f6, 0x19d2fed0, 0xf65a78d6, 0x5d3dedb3,
+    0xfebbf02c, 0x8625ecd4, 0xe029e99d, 0x1bf4556b, 0xc610ec5d, 0x1019a3b4, 0xf6c995f7, 0x539b2ff4,
+    0xad86a7bf, 0x210f42af, 0x2a4ebeb7, 0xb3d145eb, 0x53636b98, 0x2da14251, 0xa8d2ed60, 0x0480d91e,
+    0xd211716c, 0x65c341bc, 0xfd9a2b07, 0x6c0e5d62, 0x12342d6d, 0x0c1f419b, 0x8e61a3d2, 0x79133a6e,
+    0x0397b768, 0xb186f474, 0xd76ebf67, 0xbdda4d57, 0x1b893dda, 0xae432270, 0x0277cc52, 0x05c75616,
+    0x1808a8ea, 0x1ff1f696, 0x8d96b57c, 0x5c730725, 0xb82e5b67, 0x52163570, 0x110fe970, 0x13958aaa,
+    0xd99ec9fd, 0x8f75f60c, 0x06479fb7, 0x99c853e0, 0x64e4808a, 0x9e91778f, 0xc4676df8, 0xe097961b,
+    0x66b8717a, 0xd82df27b, 0xfe6751f7, 0x4a35639b, 0x2678f2ae, 0x28ddc598, 0x4fc7b0c6, 0xb20b492d,
+    0x3aa6d6dd, 0xcdbddf10, 0xaf214ddc, 0xd702a21e, 0x0d7d3329, 0x42eb50c2, 0xd55cb455, 0xe6a65e4d,
+    0x144af1ef, 0x6e6be76d, 0x4b9f80c8, 0xae967393, 0x307c0c63, 0x91852d03, 0x23618bbd, 0xf9bd62d0,
+    0xb3c15c5e, 0x2021fcfc, 0xbf582439, 0x13df6318, 0x3d1c8d6a, 0x8b1e5c84, 0x4b1a1a14, 0x33722b40,
+    0xf9ba244f, 0xffd9856d, 0x5672f30d, 0x41d96c40, 0x2f0f2f52, 0xbc707a41, 0xf83c788b, 0xcd42be07,
+    0x0d6da025, 0x077bc59d, 0x04da2516, 0xce0c8df7, 0xd45d01d6, 0x52cf0b3f, 0x1ed3991f, 0xd46b3fc0,
+    0x4326b82f, 0x0fe56b59, 0x397d23fe, 0x6bc24cfd, 0xb9ebc8ff, 0x9602feb7, 0x95e0df15, 0x7bb656e4,
+    0x32e4f80a, 0x3e88ff46, 0x19fece65, 0xb86b4f12, 0x39ab1f16, 0x27fa5d47, 0x4fc04583, 0x40e1d1c1,
+    0x3d6a09e5, 0x6e35c267, 0x427bd35c, 0x51538b1d, 0x6dd357f2, 0x158b07df, 0x89998bf1, 0xa314b911,
+    0xc3e1375d, 0x2780116e, 0xca7ed3eb, 0x40dac890, 0x2c507f54, 0xca9a6931, 0x07bb9491, 0x73d961ac,
+    0xef677aa9, 0xa58b31e1, 0x108bfbb4, 0x715e410c, 0x7449b519, 0x6dbb99b3, 0x9090f91b, 0xafe72658,
+    0xf1b5afe7, 0x32360aba, 0x75c9dfe4, 0x90cbbada, 0xf1e1e94a, 0x180026f8, 0x51139c9a, 0x4b10b382,
+    0xdb1ef3d4, 0xbc3672dc, 0x9e9facd2, 0xbdada417, 0xabf3d78a, 0x1e27f5f8, 0x3d5b672f, 0xe9fd8841,
+    0xacada21c, 0x82cb1687, 0xbbc87fd6, 0xb54e85c8, 0xc692ad56, 0xc04aa8fb, 0x6516e776, 0xe8832754,
+    0x458e2070, 0x47425968, 0xef725c2d, 0x8278ac31, 0x4c7bb255, 0xf913b196, 0x86ff1038, 0xce63ebcf,
+    0x78620521, 0x4e518fff, 0x95c2187a, 0x244fe3a5, 0xb4f0abf9, 0x45d5d0c9, 0x3280fe40, 0x9c6764ba,
+    0x00000000,
+    0xda812015, 0x5c8ea036, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000633825300114114700748351602688 */
+  { 0x00000000,
+    0xab3b2328, 0x1b418705, 0xaab21275, 0x4ab7a435, 0x72be8254, 0x9b320a4e, 0x1a491316, 0x9810b5c8,
+    0x8a49ba13, 0x46468ab1, 0xcacdc4ce, 0xb8e997a6, 0x59385a43, 0xcfa9391d, 0x90ffa959, 0x584248de,
+    0xcb241cb6, 0x51b267c1, 0xe1eb4f36, 0x33cc112c, 0x210e9c7f, 0x9f539085, 0x96cfe1a6, 0x18d7fe4f,
+    0xa3ff9adf, 0xc2a78817, 0x8bbc4681, 0x222d6b2a, 0x88fd4072, 0xb637fbe7, 0xa564af02, 0x83be23d2,
+    0x71edf8e2, 0x780bb674, 0x7cac41b9, 0xfaee30d4, 0xf1b81455, 0xbc4297f2, 0x96d1c339, 0x759869d1,
+    0xbb86ea4d, 0x56fe7175, 0xe94acb59, 0x1cdaa505, 0xbf2302c6, 0x5bf3d552, 0xc1a2b32a, 0x9aa4b878,
+    0xc0fad4cf, 0x18e9df0c, 0xc8edc7b7, 0xd775b241, 0x80da320b, 0xe568003d, 0xb9dd1ce9, 0x2f6f5267,
+    0x371c7964, 0xe95347de, 0xcdfac036, 0x188927d0, 0x603c182e, 0xeddcf3af, 0x7d6dd49e, 0x59c2dc9e,
+    0x50eedda4, 0xe3095f29, 0x06761443, 0xe16f2f66, 0xe82dbf7c, 0xbc4230bc, 0xc6361992, 0xf98fe671,
+    0xd23d01e4, 0xfc03e0fa, 0x86ef55f6, 0x4fe4f9ae, 0x00b85ea6, 0x40626eff, 0x990ab668, 0x06840533,
+    0x2b062419, 0x5b15802e, 0x25529714, 0x4aeedd8d, 0xe59ecb62, 0x85f6ff0d, 0x1491de97, 0x0c0b4525,
+    0x623cac98, 0xd1527395, 0x201b9c1c, 0xa00d6e03, 0x931c8561, 0xf6a10f15, 0xbb624d95, 0x3bdfbcc2,
+    0x259b4cfe, 0x885aa8a2, 0x8a3cc641, 0x2cf435ac, 0x2a5a261e, 0xcdba9c5f, 0xdb0813a1, 0x9da2e06d,
+    0x60bb10df, 0xeeedf039, 0xb1b44bc0, 0xa66de357, 0x6caca07a, 0x04a06fbe, 0x3a7cc7fb, 0x0104e798,
+    0xb31da351, 0xd14d0dc5, 0x627bf7a9, 0xe53c26a0, 0x0a215a8b, 0x8219d986, 0xee3903c4, 0x51725e3b,
+    0x81dfeaea, 0xbe791c6d, 0x6156eb55, 0x7d4d731b, 0xd00a216d, 0x658645c8, 0x8b37b4b3, 0x15cac0e0,
+    0xca130502, 0xc8a39f00, 0x9a90d140, 0x282029b6, 0x20272e69, 0xd1064092, 0x4fb48c9b, 0x375aeedd,
+    0xf845e1cf, 0x86148995, 0x6c7e3e0a, 0x4bea0987, 0x13e56d20, 0x62a94092, 0xd3b869cd, 0xe284a123,
+    0x9fb09748, 0xf6977de0, 0xfd5936bc, 0xc095fcb3, 0x417aad08, 0x2bbbc5a5, 0xaa7cbe35, 0x45ae379e,
+    0xf397cf44, 0x4928944c, 0xf007ec02, 0xfd50a064, 0x7c123c78, 0xbca505eb, 0x42b9cbfb, 0xf1b7aba1,
+    0x8f64c5dc, 0x4da10899, 0xbd690c15, 0xdbbb1c90, 0xbb060fab, 0xdf0cdfe3, 0x84584e1a, 0x7e674202,
+    0x45139079, 0xbba333ec, 0xaa63e65c, 0xf87361f4, 0xf87711ee, 0x2c16acf2, 0x6d56df63, 0xd83bdb01,
+    0x8def6d14, 0xf501ff68, 0xd656d215, 0xdad2305f, 0x5d1c268f, 0xbcf0700a, 0x26e177cc, 0x37b2b07f,
+    0x7b719fae, 0x62a3cc01, 0x78b41699, 0x2e82320f, 0x953e35b2, 0xd9725b95, 0x8ccf1c5e, 0xc99f6364,
+    0x974c0079, 0xf1401431, 0x9ae0bcc5, 0xe60a8c6d, 0xfc0a126b, 0xf4994a52, 0x0a232a91, 0x6c60515d,
+    0x75bf36ba, 0xb74be5be, 0x30f2ea0a, 0x18287cdc, 0x1f6f4dcc, 0xa165d771, 0xdfc607fc, 0xb8bacebc,
+    0xd024c2e8, 0x46fb8a41, 0x4ea874f3, 0x3fbf1ce6, 0x176a2c18, 0x98f7433e, 0x8644089c, 0x86b72204,
+    0x67c309b9, 0xd02d571c, 0x7a1bb808, 0x3faf6a3b, 0x73a81e9d, 0x32cd460b, 0xbb9e05a3, 0xb516d22e,
+    0xe1919af3, 0xe03f29e9, 0xb30374e4, 0x143b2cff, 0x3d387e9b, 0x0dcbc429, 0x9b690f96, 0xd52bd9b7,
+    0x11253057, 0x4a64ad27, 0x97135f15, 0x0a071a97, 0x469c1e23, 0x58438923, 0x7a85b89c, 0x8a6aba99,
+    0x07256721, 0xd0087afb, 0x472d539b, 0x98cd1dcf, 0x03c205a5, 0x5602d9ed, 0xc57952f4, 0x51367b25,
+    0xc2da940f, 0x620a4f7c, 0xe6b5fdff, 0x494284dc, 0x17d49984, 0x42f5b646, 0xd8196350, 0xb120fc77,
+    0xb6260539, 0x3184f4d0, 0x1becf1fd, 0x15c78283, 0xeb934dc6, 0x959990ae, 0x9da7c17b, 0xbbb3127a,
+    0xe27e12ae, 0xaefc64aa, 0x36338826, 0xd4424ec6, 0xaa3c7b4c, 0x7fc2d70a, 0x3166821e, 0xec44593a,
+    0x4e392b69, 0xca51e6f1, 0x925d5376, 0x01f1947c, 0xa280b3e5, 0x0dfa845c, 0x7c5fa6ec, 0xad05da07,
+    0xb3a173a4, 0xe2790416, 0x64e05b7c, 0x0e712e14, 0xf8269934, 0xd96b9435, 0x411362a8, 0xd9fb5cd3,
+    0x2b0a9723, 0xf8ee140c, 0x47fb5dc6, 0x062b1410, 0x7ca4b131, 0x52f54c8e, 0x801e02ec, 0xb2a6b037,
+    0x7dcd1060, 0x19ed3fe3, 0xdd805c8b, 0xbe95dc6e, 0x99acb74b, 0x6793c6b1, 0xb422f14f, 0xc90d9360,
+    0xcc8465a5, 0x145d6fde, 0xd240cdd5, 0x6a6aaed3, 0x595fda10, 0xd8650ef5, 0x45d8fc17, 0x387f3714,
+    0x9a9157e2, 0xb2d38bd9, 0xe5180846, 0x534eaf58, 0xb73743a2, 0xb1d31bcf, 0xfd3db422, 0xc04fa3d3,
+    0xd05abd5c, 0x7c0b5f07, 0xdd222f6e, 0xb1f37952, 0xfdcf574c, 0x7623e3f2, 0x967d5479, 0xc1f4e711,
+    0x61cd3b5c, 0x0677fce3, 0x2791b9c6, 0xf49204d9, 0xacd67bd0, 0x0aec6267, 0x3e0da480, 0xf0acbce8,
+    0x11b736fe, 0x5f9211d9, 0x3eb9a30d, 0x3b14a002, 0xc08b8552, 0xffc5f9eb, 0x376ddafc, 0x5078a570,
+    0x47f0c9cf, 0x71206ab6, 0x9c0589f1, 0x2e4f9506, 0x1c3f7bd5, 0xb1afe9a1, 0xab6d9a4d, 0xbb4403db,
+    0x55703fa1, 0xf90f1e67, 0x859642d6, 0xa92194b9, 0x9cb86607, 0x4b1eb6a0, 0x4b34dd42, 0x86659608,
+    0xa15b41a5, 0xf88253fc, 0x69a3689b, 0xd3479667, 0x33436e71, 0x2890b631, 0xb9b80ccb, 0xbf6bba35,
+    0x15fdaf0e, 0xbf04e626, 0x6bf41080, 0x66c28ca5, 0x532c6668, 0x3921c673, 0x3f5442c2, 0x58411b67,
+    0x7b0b0f14, 0xe5af73b7, 0x832cad6e, 0x7429d7ee, 0x640c603c, 0x7e4adae6, 0x88c1b5d7, 0x11791734,
+    0xe7845c0b, 0xbd833354, 0x078df583, 0x8263eb18, 0x84605b0a, 0x0cdd92a4, 0x7b9a62b2, 0x9c874ecf,
+    0x8b523d65, 0xd2095508, 0xb47ac8b3, 0x2bb8a266, 0x8d26ea74, 0xdcf51202, 0x403aeb66, 0x349e3e3f,
+    0xf0dd93ce, 0x99dbeb53, 0xa08c3ab6, 0xff246a1e, 0xc0687c06, 0x731c6edc, 0xf14eaeb6, 0xb657bdcb,
+    0x96370f0d, 0x5aea4a08, 0x0e7b5c94, 0x5e2a86d1, 0x952bc933, 0x541c1d54, 0x8efd17b2, 0x6779baf4,
+    0x29b4aaa7, 0x0b08f2ee, 0x0cf4b073, 0x9f7b6a2e, 0xaed15357, 0x7a3271ba, 0xda780de8, 0x5754f2d6,
+    0xfa115cee, 0x8c720080, 0x8fed9af5, 0x82daa8d0, 0x91952278, 0x0097706a, 0x5c626e5d, 0x73061387,
+    0xd7a0e92e, 0xa4e838cc, 0x6b47a1e8, 0x8defd08e, 0x295c5c81, 0x399bd2d5, 0x1f8eda7b, 0x8296c2f0,
+    0x5fdf5088, 0xfc439a4f, 0x0ff741c3, 0xba489739, 0xc383d891, 0xcb97e21d, 0x40240c57, 0x356dc41e,
+    0x69b7d68f, 0xaaaebca7, 0xe8633fa3, 0x7ab98766, 0x5cf0f867, 0xbc3e6b74, 0xe07c64c0, 0x9fe68a2d,
+    0x893dab98, 0x02d9aa42, 0xc202d21b, 0x2ac87c04, 0x67969d81, 0x02978b3e, 0xdf22d3a9, 0x3887944d,
+    0x7c9bcf77, 0x59c72095, 0x86d48eb2, 0xcf68355b, 0x6fc7040d, 0x700989d2, 0x30faf97d, 0x80c7a0ae,
+    0xf32b7660, 0x3f1f812e, 0x9d350a0e, 0x28aaff86, 0xf55ad565, 0x75577f31, 0x5d810989, 0x00a8f8a7,
+    0xd813023b, 0x94412f54, 0xfa6aa3fe, 0x799e4f2e, 0x70243d69, 0xd76f67d7, 0x255edc88, 0x183f0404,
+    0x850541aa, 0x6c682d30, 0xcb50d2db, 0x31550e6b, 0x4b2b313d, 0x9de67058, 0xe641b5df, 0x9f82e81f,
+    0x6457ca12, 0x5d26c9ae, 0x22e567ed, 0xc73d245a, 0xe7f1be1b, 0x510f4d46, 0x33f57a2c, 0xfe7de36c,
+    0xd467a58f, 0x3d835cd7, 0x6ba59f12, 0x1ea9bfe4, 0x9935ccab, 0xca89e2be, 0xa3365eef, 0xe6a7a3f4,
+    0xf695aad5, 0xbad64583, 0xffa6d846, 0x952f8cdb, 0x0e563a8a, 0x78cb73ae, 0xf0a65d4e, 0xc51f7cb6,
+    0xbf830deb, 0x2f12de24, 0x850f93b7, 0xc1e8acf8, 0xf7cddc46, 0x28ab6fbe, 0x090dd714, 0x86361e8f,
+    0x143ae8a6, 0xbc84147e, 0x84a7edf8, 0x258ef969, 0xe7798eca, 0xcd13d705, 0x33fa7357, 0x7b78a8d4,
+    0xe221eb5e, 0x45b5c9a4, 0x6f95e602, 0x37fff414, 0x1b602623, 0xa7914c17, 0x145659b1, 0x952f3b61,
+    0x2e506eea, 0xeea5be8a, 0xe2a6ace3, 0x28291d1e, 0x27b67a4a, 0xc7cf2cc3, 0x64b3cf18, 0x52791227,
+    0x9c000779, 0x17e7483f, 0xf0533b64, 0x6aac4130, 0xc99e5957, 0x4d76e3a5, 0x11a41647, 0x168360ab,
+    0xa193135f, 0xe89c7f93, 0x104346fe, 0xeca3de61, 0x698422f9, 0x73cc0145, 0x93af13db, 0xee275e92,
+    0x0d6377a0, 0x50c9dc12, 0xf32cf195, 0xcc19c2a4, 0x4c0ca068, 0xccf10d21, 0x27e490f9, 0x3cf21ba4,
+    0x75c7cd94, 0x652aa467, 0x3193537a, 0x9f4b79a6, 0x2ac0b988, 0xc193989e, 0x2ab9797d, 0x98bd9f08,
+    0x2999a88a, 0x8da8a8cb, 0xc4ed7ffb, 0x26cf486f, 0xba7e6dde, 0xf5dd9019, 0xdda2aed7, 0xc9b7135c,
+    0xe887c973, 0x1996863b, 0x325f1d99, 0x34bd4273, 0x7868dd4a, 0xb99b6611, 0xaffa35ae, 0xcb9d7d45,
+    0x38016186, 0x318110c3, 0x23a5eb24, 0xb984d214, 0x2ffd5d64, 0x1b078428, 0xb6ec4b91, 0x95f8f6c7,
+    0xaeb96bdb, 0x65c33d15, 0xab5f040f, 0x91afa54c, 0xa347dfa4, 0x428ff588, 0xb0fda8f9, 0x69474d50,
+    0x7da8dc71, 0xfa664981, 0xe763775b, 0x23798dbf, 0x5c0399bc, 0xcf0ea1c9, 0x82658fb0, 0xb447da13,
+    0x142abbbf, 0x67491080, 0x0b6e9712, 0x586e9c83, 0xa4a97b4f, 0x6cabf43a, 0xeb48f364, 0xf6966f9a,
+    0x7eddd4e5, 0xa6aa1ffa, 0x2ad21c8d, 0xcf2af587, 0x7130dc66, 0x11ce766a, 0x7cc7f0e7, 0x3f4e22fb,
+    0x92e2a048, 0x9f5a19cb, 0xa177cff1, 0x1e65ee90, 0x6a24ed6b, 0x5b781ef0, 0xcaac68fd, 0xe645fdf2,
+    0xff12b404, 0x4bd17695, 0x9f2d2c0a, 0xf6969ae6, 0x5a54e18b, 0xbe3de63a, 0xb5eda2a4, 0x806b59fc,
+    0xf142088f, 0x0ac232d3, 0x6c484b9c, 0xbf64ca88, 0x4f61fdfe, 0xb0d4cf69, 0xa9889194, 0x2bbda991,
+    0xe81d169a, 0x78c5621e, 0x8d119390, 0x0870885a, 0xebae2aa7, 0x41254de5, 0x0522bb2b, 0x002a4cb7,
+    0xec3b996d, 0xcbab80a1, 0xc90c39b0, 0xc0f9ef1b, 0xc084e8d9, 0x3cc581ca, 0x8dc8af65, 0x684030e9,
+    0xfc8643ff, 0x18f2860d, 0x09fbaee7, 0xaa65f26c, 0xbb26030e, 0xdaf6b168, 0xe0318762, 0x9893e213,
+    0x90e56658, 0xce640b8e, 0xf93a9c8a, 0x21a42ee8, 0xac24e5cb, 0x841b973a, 0x1b0d85ea, 0x11e1ba35,
+    0x1660594c, 0x3592163a, 0x17b5e78c, 0x0c9caa9f, 0xcf6f7fd2, 0x2dae9f9f, 0xc74f4528, 0x97c9777c,
+    0xa13692be, 0xabd334c9, 0x3c9d9719, 0x2565ef31, 0x8888a491, 0xb3be3e36, 0xed59a246, 0x0514020f,
+    0x85e14e15, 0xd149fd5e, 0x6c4ff856, 0xe64c4da1, 0x7a8000f4, 0x662e2ae0, 0xd8fa30df, 0x7398b78c,
+    0x2f1e3faf, 0x187a9de7, 0xa20d9d2f, 0x35eca18f, 0xc2bab04a, 0x1a2b2ab7, 0x6c2b9b98, 0xb8ce9c85,
+    0xf7fe2aca, 0x39986d20, 0xb71fd5da, 0x969a4ba7, 0x3981314a, 0x4b1b315b, 0x8b65cd4e, 0xacf8f00d,
+    0xbbc285ae, 0x2f7a9928, 0x856deeb3, 0xa2862125, 0xb3bf2de9, 0xb321b24f, 0x23354cc9, 0x4956d3bf,
+    0x9624d1f0, 0xb6857954, 0x822118c2, 0x200e3bdd, 0x08eba41b, 0x153b099d, 0x2c77ecf3, 0xc374615f,
+    0x57e86d55, 0x7a4097ee, 0x95e61ce0, 0x3d13ca2a, 0xc7a3f877, 0x22877215, 0xd82ab9a4, 0xe3782df4,
+    0xac7c9cc8, 0xce06b5ab, 0xe431b7a8, 0x3a3d7b26, 0xf54ab040, 0xd3cf68f2, 0x0af6ca40, 0x525f3f54,
+    0xa7eb232e, 0xe1a8ef44, 0xe76a1679, 0x84a83da4, 0x85e99715, 0x2a5e16f6, 0xdbb71be0, 0x1676e256,
+    0x34acf42e, 0xb8954e31, 0xbe9394da, 0xb9494911, 0xeeadcca9, 0xeed619d7, 0x30998996, 0xbc0d9e11,
+    0xbb08bedb, 0xd0b8e8d5, 0x1cacc42f, 0xc5d27dd4, 0xdc409ac0, 0xfe8f7789, 0xb3e467a9, 0x9d1caebc,
+    0x7768d231, 0x9d6ae9e4, 0xe5c9fa85, 0x9f22f2cb, 0x2d76d5a6, 0x093e9946, 0x9b02eea8, 0x93d06e2b,
+    0xa61bd538, 0x8b6bf168, 0xfa748f71, 0xd59e0fc8, 0x2081a5b6, 0xfdcb95a0, 0x5bcc21de, 0xb7053dfe,
+    0xdef50ab1, 0x16f35bbe, 0xa7325029, 0xe8a3e15f, 0x8107d86f, 0x60856e6d, 0xa2607c52, 0xb73274db,
+    0x8ff2ae84, 0x90f17745, 0x51809429, 0xd32d2e5d, 0x0a68e70f, 0xf47e3064, 0x17fa6d6e, 0x1e0c9088,
+    0x7fbb39fa, 0x5fe760f5, 0xb74bd7f0, 0x2d09df31, 0xfc7c8c51, 0xd5f4b2b6, 0xe350edf9, 0x39ffc435,
+    0x59c1434d, 0x06920007, 0x2d50feca, 0xc6607840, 0x1de36317, 0x37d78923, 0xf5dafc63, 0xb7f23052,
+    0x0d4acbb7, 0xb82b5564, 0x77de33ae, 0x2b25fdcc, 0xb23c90fe, 0x141f462a, 0x4ab8774d, 0xe85393ad,
+    0x3e013c31, 0x778fa164, 0xb66f0e20, 0x6f4c17e4, 0x467839b8, 0x6e1730e6, 0x8fa9474c, 0x6f59f209,
+    0xd93f88ee, 0xde96bc62, 0xaf05de2b, 0x2663a92f, 0x6dbac7f7, 0x6ccf1b4d, 0x7f482821, 0x216df909,
+    0x63f4de3f, 0x250b8816, 0x02f9916c, 0x9485e04f, 0x371dcc1f, 0xad0df1c4, 0xf0bf11aa, 0x9e0e25eb,
+    0xb0164cd9, 0x4393029a, 0xc2ffe9e7, 0x6f03d8ca, 0xd4db673e, 0x50d4af28, 0x3606e7a0, 0xed68cacc,
+    0xad0d5d4f, 0xcbb2bcad, 0xee241ee7, 0x247a59c2, 0xc7489201, 0x91bb6dfa, 0xedefdfd8, 0xf692f5e1,
+    0xdf272734, 0x79adfa92, 0x8ed2621b, 0x02ceb085, 0x24697ac7, 0xd0c085c1, 0xcd92cb3b, 0xc8177a95,
+    0x5cdb977a, 0x958e94f6, 0x585fdfa6, 0xd27776c1, 0x4c1f9b42, 0x2c318466, 0x3b16b3e6, 0xae45c79a,
+    0x34369917, 0xc5715e6c, 0xf39d4c95, 0x7f36739a, 0x131527da, 0x9d9a1b00, 0xa365d2be, 0x4c3ea476,
+    0xcb45ee7c, 0xc05da187, 0xfa505b96, 0xdf794148, 0x27d2f2bc, 0x82eeecb4, 0xf3ff6e7c, 0xad4acff9,
+    0x6a382b41, 0xc7e37c65, 0x2ce20230, 0x4d4d1962, 0xfe66004d, 0x22eeadfa, 0x4ec0d0f7, 0x93398aab,
+    0xa4ba780c, 0xbba171c8, 0xb6f34478, 0xccbb2812, 0xd7796bf3, 0x1254b125, 0xac12c9cf, 0x79b48237,
+    0x55d25ff4, 0xd83858b5, 0x10449868, 0xd93310c5, 0x3c6e5d51, 0xef5c21c9, 0x7de386ee, 0x52e1c1e0,
+    0xd37b735f, 0x2fdb077e, 0xff9aca3b, 0x51f9a252, 0x5e798ff3, 0xce4d2f34, 0x3f2f2390, 0x98f7ebbf,
+    0x0c97793f, 0xec23d107, 0x76650018, 0x5cd9c708, 0x8b481f81, 0x754106d5, 0x88808e20, 0xbaacd046,
+    0xdeb47b8a, 0x14845521, 0x36feefa9, 0x710a2da8, 0x77e283a6, 0x094c22b5, 0xb8ffe516, 0x63afe522,
+    0x4a287788, 0xd2e9bca7, 0x20f740f9, 0x6b3392d7, 0xcc6c061d, 0xd0235547, 0xc94d21bd, 0x3cd871f1,
+    0xd5165ddb, 0x7279abc6, 0x2137a2e4, 0xf5635c8f, 0xe4338ff9, 0x049de3fb, 0xbaf1786f, 0xf669b602,
+    0x6ada19e1, 0x13563b3a, 0x8d60c6cb, 0xa2f4547d, 0x67e6e4ec, 0xe9833657, 0xf3d8fdf3, 0x36d55ea4,
+    0x5337f558, 0x5b4765e8, 0x62075d11, 0xc6a196df, 0xab28620e, 0x2e9b84f3, 0x34c0404c, 0x803175c1,
+    0xd3fd9c80, 0x5314c467, 0xd468b9c1, 0x61b41fe9, 0xe5f6b090, 0x19676241, 0xb47ace82, 0x8d7db0b4,
+    0x00000000,
+    0x6d40900a, 0x2e47501b, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000316912650057057350374175801344 */
+  { 0x00000000,
+    0x12c1626b, 0xb99ccad9, 0xb0755bc8, 0xa4284191, 0xb6e33dcd, 0xb80bdd3d, 0xe61bb0fa, 0x118ef53b,
+    0x00bd867f, 0xa4e516bf, 0x618a80d6, 0x2930f878, 0x2b5a60fe, 0xe128a220, 0xae224876, 0xf9d7ebe9,
+    0xc53fdaf3, 0x5e558e3a, 0x1fbb6ba1, 0xab46c31b, 0x2a5e20e2, 0xaa478289, 0x98aed359, 0xb057e85f,
+    0x1a2aaf6c, 0xd6db849c, 0x4fca4928, 0x83d88566, 0xba4c4a99, 0x0593bc97, 0xaed11e8a, 0xad0db913,
+    0xfac7feee, 0x95586f9b, 0x9cf99dcc, 0x088893f0, 0x7cf44d4e, 0xc0bc9782, 0x09c97cb6, 0xefd677d8,
+    0x6c6cd979, 0x61742956, 0x4b6763e5, 0xab3e7c54, 0x682d46c6, 0x5dd3b3ee, 0xf64aab7f, 0xe7211cff,
+    0x86c3bd80, 0xe72c448a, 0x8e39c142, 0xd84e745a, 0x64ff2a78, 0xda33485f, 0x77acf8d3, 0x31e6564c,
+    0xe408773f, 0x863c50f0, 0xb2ae6225, 0x75c8ef44, 0xef1eec02, 0xeddceb5b, 0xf03451c7, 0x7866eda6,
+    0x3294ce62, 0xddc4d03b, 0x3e3a3b56, 0x7d4a5398, 0xa575a1fe, 0xb240ce9b, 0x99eadb0e, 0xef9032e6,
+    0xc7727b6a, 0xf8f1c734, 0xb0467f1f, 0x28343404, 0x4a7e7378, 0x089062a4, 0xadbd2dc7, 0xe097113f,
+    0x9ba28281, 0xed20e33b, 0xba4feb2e, 0xd9466cf1, 0x034fcd7d, 0xbb8147e0, 0x3dd8637a, 0x77509f12,
+    0x5b7c2292, 0x6dd19d87, 0xe39a4129, 0x60a572ed, 0x69cf41b3, 0x3a325361, 0x8795b3bd, 0xef4eba1b,
+    0xbc161752, 0x646da184, 0x1a12a4ea, 0x1503880e, 0x25dbd723, 0xb582c8a0, 0x56193c8f, 0x766b7b76,
+    0x43f2c997, 0xf147a864, 0x4e97388b, 0x20830a0e, 0x0e0aa4d8, 0xffe4fa70, 0xa449bd7e, 0x7d874851,
+    0xcec505b9, 0x6733c933, 0xa49676f4, 0x73fe6ea8, 0x06b18d09, 0x84a112fc, 0x6ea73910, 0x49081533,
+    0x60cb7fb1, 0x11836ba9, 0x453dcf08, 0x83c64dbb, 0xb0c7c313, 0x829f88f5, 0xd8a54f2d, 0xdb08df9b,
+    0x9fc11b4a, 0xb6162119, 0xae2204af, 0xc313e2a4, 0x0762a0e3, 0x048e210c, 0xc33bf2cf, 0x0d57a082,
+    0xd60e2216, 0xc5eb4120, 0x2f7edb12, 0xc5de9c26, 0x210939a6, 0x9f4ebad0, 0xacadafec, 0x9113d1fa,
+    0x66ef275d, 0x12dc9b3c, 0xa1b31290, 0x9140f4c6, 0x45fb2e3f, 0xe3b86e4b, 0x2fa70c27, 0x8011ab04,
+    0xdd862597, 0xefa8e2f6, 0xc4f5e52a, 0xd2f9d944, 0xe6b1a985, 0x78f636c3, 0x5be3a2d8, 0xf62c4c7f,
+    0x5892f109, 0x3757f228, 0x22fbb7bb, 0x6cbd4b90, 0x35a6c187, 0xc9d14bce, 0x3525eb60, 0x5446aae2,
+    0x8c232353, 0xdccc9af1, 0x107a57e6, 0x7410a78a, 0x38b37547, 0x193c3f5e, 0x0b5d1865, 0x974d7cd6,
+    0x99614d91, 0x319522d7, 0x10ae7cd4, 0x7ccdf40f, 0xdcce6019, 0x9f0f603d, 0x891aae99, 0x25097f3a,
+    0xe6710b32, 0xe8248a2d, 0xec9685dd, 0x3550b156, 0x92001401, 0x2b70bae3, 0x87b0a05e, 0x4c258fed,
+    0xe0104d04, 0xcbbb61a6, 0x060e8bac, 0x502ec8e5, 0x020a7950, 0x0299c21a, 0x5d91d6e7, 0x82647d89,
+    0xf5c6a7a3, 0x8c432976, 0x3cd0f9c4, 0xb08ba44e, 0xb27b72b1, 0x89a683b3, 0x8bc17bb7, 0x6de3a6d1,
+    0x065d5c51, 0x8050d264, 0x5daf2e4c, 0x2489ec35, 0x17fb58be, 0x7b6f1477, 0xfef9f029, 0x0e5d5966,
+    0x927bd53e, 0xf8148ed4, 0x991376a8, 0xec7b981b, 0x7e24ce1b, 0x3efc5413, 0x15ada806, 0x1ea383b2,
+    0x419b0842, 0xcc159dd6, 0xfdff6095, 0xede8bed4, 0x2525e741, 0xaf12c82a, 0x0ffd5d35, 0x11694479,
+    0x2835a1a7, 0x2781a555, 0xd2597762, 0x983b8de8, 0xfb299151, 0x053b727f, 0x9c8164e7, 0xfa0328f7,
+    0x38e30c97, 0xf02ef7a6, 0xbbfd706c, 0x3977edfb, 0x12234f3f, 0x879bbbea, 0x42964474, 0xfad473d3,
+    0xecff1966, 0x2a21b013, 0xa62ccd4e, 0x15487947, 0x1bf91ac1, 0xf9b3520f, 0xb5eece93, 0x3aa5c9df,
+    0x602c8243, 0x8b8c5879, 0x841a8530, 0x242bcda5, 0x86af3b4a, 0x1478c6e8, 0xf30e3bf0, 0x285a554e,
+    0xa66fac39, 0x7c7f9cbc, 0x5dd6d942, 0x62ea3db7, 0x4d84c216, 0x1b048bfe, 0x6b51afff, 0xdc70cc4b,
+    0x9d897669, 0x2493e27e, 0x88e759fd, 0x35e1a3c8, 0x8c961013, 0x4f139381, 0x6f163833, 0x61f18a02,
+    0xbf530599, 0x77bcd0dc, 0xd7693d4d, 0xcb85c7a2, 0xf379ea15, 0x119cee3e, 0x855cf429, 0x888a4f74,
+    0x53a1d977, 0x4ed97e1e, 0xa17cbded, 0x4fb69431, 0x2fe8dac3, 0x65f414cc, 0xd66e66c5, 0x15579cc8,
+    0xe3ba8c2d, 0x3de648b7, 0x7ad3628c, 0x27a34012, 0xbd15e2a3, 0x12a371e5, 0xa9da3d59, 0xde8140ae,
+    0x9f1bf192, 0x1857c733, 0xe75e7113, 0xfad02e45, 0x2cb8f840, 0x58d64c81, 0x9778a26b, 0xfb677b8c,
+    0x3627b4e4, 0x2053c030, 0xeb37e6eb, 0x28fdf854, 0x599b9929, 0xa0adfed5, 0x59fea7f8, 0x90bf5e34,
+    0xaaa0eabc, 0xf5308ba7, 0x9492e2fe, 0x6a3d04df, 0xcd235fe1, 0xb44d57eb, 0x9756ddb7, 0x38760b36,
+    0x5bd2fe68, 0x0794e269, 0x79e1e5f4, 0x4ddbc1c1, 0x485785e5, 0xa64ce2b1, 0x7002e201, 0xd6481cb2,
+    0xfc91a539, 0x04a06284, 0x66ac0a78, 0xb605014b, 0xccd74335, 0x7641b79b, 0x9c8e9167, 0xb3dd5bb0,
+    0x3d9e5747, 0xd6ddd3f0, 0x4603040f, 0x20738df8, 0xe0777778, 0xfc4cba95, 0x75c25639, 0x8466a14c,
+    0x4426a6c4, 0x6834ef55, 0x8f72d915, 0xe6a8203c, 0xc815644f, 0x803039e0, 0xf7916859, 0xedff986c,
+    0x7e8456c3, 0xbde0add5, 0x8530bb9b, 0x68cbef85, 0x43625738, 0xabc70436, 0xb6d8e732, 0x4d3f7702,
+    0x7313d108, 0xd9cdc4c3, 0x7ebd510c, 0x97cdefeb, 0xeb27d5ef, 0xc0618483, 0x6c281b01, 0x1401cc31,
+    0x20f0d96f, 0x6e9bb761, 0xef6c9667, 0x158070e4, 0x2a2d2274, 0x57d5c1a0, 0x62ee269c, 0x2215d6ac,
+    0x47fbbc14, 0x4fb7c39a, 0xa602ed48, 0x3bc1f9de, 0xb53992ce, 0x66bd18b5, 0x3580be5e, 0x44d3c12b,
+    0x6c5b5b9e, 0x151a64a8, 0xd7b3cb70, 0x466adf2e, 0xe4bd4be8, 0x89d94634, 0x5cb3567e, 0xfdf57972,
+    0xc36b3401, 0xcb992a08, 0x4555bdaf, 0x556132ee, 0xb7b6855f, 0xfc6a7dfc, 0x365d2d38, 0xf64461d4,
+    0xf2eae09e, 0xb06e6659, 0x9eb13ddb, 0x2146606e, 0xcd806230, 0x036e1666, 0x10951c6b, 0xe2891599,
+    0x732ee952, 0x6d1ac914, 0x8ed293c6, 0x00526cc7, 0x2f27c76f, 0x441e1862, 0xd47faaca, 0xd1ad0b39,
+    0x899d52f9, 0x60408b33, 0xa1ace765, 0xa2c0cf6f, 0xfc9b7eaa, 0xf8914ffc, 0x2eea1644, 0x18d0296e,
+    0x32cb6dd2, 0xc5edae7c, 0xeafee4ef, 0x4a245e5f, 0x30fa7e49, 0x157f0f46, 0xfed51372, 0x06db5d7a,
+    0x5f2681b8, 0xb9cd88cc, 0xfac6a1e7, 0xbb86e229, 0x0fd46763, 0x18f468e7, 0x843d1c54, 0x05a1fdfc,
+    0x96fe36db, 0x07c72abb, 0x1fd10a53, 0xfc1eba58, 0xc5488947, 0xf93c31d1, 0xfd7e3158, 0x66bd1f77,
+    0x2da5f36e, 0xc91c33bc, 0x3183ac36, 0x8df9eb3f, 0x0b6f044c, 0x3ce74587, 0xa8f172c1, 0xfe4b8b5e,
+    0x11776e91, 0xa0f969eb, 0x9fa2f794, 0x6a28b4b3, 0x2e14a5c6, 0x15bfd9ef, 0xe81a417a, 0x63a66b98,
+    0xfa7f0b29, 0x30fa4b9d, 0x1793da9e, 0x39e80649, 0xa1d56f90, 0x27875b4c, 0xaf8f3ced, 0x917f3183,
+    0xdedb7fb1, 0x48757ea2, 0xaac2275e, 0xe0e9b2a4, 0x3bb40ee0, 0x797b521b, 0xb4a55d61, 0x4841b2b8,
+    0x34eb72ef, 0x643f1d35, 0xa9be857e, 0xec7666ed, 0x86bdc8e0, 0x60b24819, 0xb008cbd3, 0x4bbbbd0f,
+    0x4994357f, 0xa04d560c, 0x03ee76f8, 0xd164d355, 0xd7e49a13, 0xa21c2602, 0xde2b4d2e, 0x61b176ea,
+    0x38190831, 0x3d1b147f, 0xa470c8ac, 0x836db0b4, 0xbcbc34e8, 0xae75e2b2, 0x36aaed78, 0xa90febb9,
+    0x8753d627, 0x4f46f6fe, 0x4a689d1e, 0x30c67f63, 0x4d221cd1, 0xfca02bce, 0xbacfcd34, 0x4a0b43c2,
+    0x56db933c, 0x4cff33d4, 0x0b122004, 0x715abd80, 0x8a097202, 0x45f67262, 0x532e6a8d, 0x590c0d82,
+    0x04757e75, 0x34919ea5, 0xd6cb3619, 0x69bbf697, 0x83bf0490, 0x018358c6, 0xd70a32bb, 0xe69a0d03,
+    0xbcb98baf, 0xbf23a336, 0x133a8470, 0xf915eed9, 0x746b9027, 0xe36e70da, 0xf774bd4d, 0x12678135,
+    0xd70e62c0, 0xfbf6baa8, 0xdb82d41c, 0x3de975c1, 0x71b2df0b, 0x78d778a2, 0xf9c609b7, 0xefcd41ef,
+    0x3cd9b449, 0x48ca82e1, 0x474dda9b, 0x106b5d40, 0xf011fe38, 0xbc3061e9, 0x09cbf23c, 0x37901f18,
+    0x21883bb2, 0xc3eb1972, 0x9cf214ff, 0x694912af, 0x7b26b2ee, 0x90068bb4, 0x127a1b07, 0xdc16f464,
+    0x75510fa7, 0xd8caf6a0, 0x5c93df4d, 0x64fa5f67, 0x4d37dd4e, 0x27e09080, 0x3fcc5817, 0xa841113f,
+    0x0633f416, 0x17047245, 0xe6462145, 0x3b7c3355, 0xddf57a3d, 0x9375efb9, 0x9e75a2a5, 0xcd89cd42,
+    0x70f86fc7, 0x7160187a, 0xc861da32, 0xc78f46e2, 0x93ee6640, 0xde11b2b4, 0xc0a809e4, 0xf9770ccb,
+    0x64c194ff, 0x18d91003, 0x8e0e99ca, 0xb1b80b18, 0x895fd6f8, 0xa08da5d7, 0x705bd058, 0x284be0d7,
+    0x11cdaeb4, 0x50ad79ce, 0x4b44f485, 0x2abbfcd7, 0xa4badf7a, 0xd30ffafb, 0xa90a2d80, 0xb4441e80,
+    0x65086584, 0x28db1c4f, 0x93f0705b, 0x8b63cc3e, 0x46034853, 0x33553ef6, 0xc0bac37e, 0x9e92f392,
+    0x7cf6327a, 0x0fe3cf3e, 0x5f9ebc0b, 0xf792c6d1, 0x91b67642, 0xdf06233a, 0x5366b81c, 0xdc176f94,
+    0x156fdf7a, 0xf599c497, 0x1bffdc33, 0xc93f218a, 0x5c386480, 0x9a49e7ee, 0xeb7fb730, 0x2bf3b462,
+    0xaa40d5b1, 0x984e7c7a, 0xfb457520, 0x40521066, 0xa733ce8f, 0xfa6558ae, 0x43c91741, 0x87618c76,
+    0x5761ce97, 0x68ab4c36, 0xd197bf98, 0x92160e4f, 0xa7c5189d, 0xd49f1179, 0xbb731b6f, 0xd9f94d99,
+    0xaac8b786, 0x35e626f7, 0x808f78f6, 0x70b170c1, 0xbeecb44a, 0x41915fd1, 0xd7e03002, 0x938bca0c,
+    0xfa04c671, 0xa9c58963, 0x75816c4e, 0xf33c8f38, 0x3bcf4f2e, 0x20cb33b3, 0x17654adf, 0xcf97214c,
+    0x4bbaea24, 0xf48fb51f, 0xcaf25855, 0x92bb0206, 0x02658e98, 0x9babda21, 0xa5581e13, 0x1398500b,
+    0x5d56931c, 0x8c067c61, 0x49163536, 0xbf6f0eb8, 0xf40bb5a9, 0x4177cc37, 0xe2187786, 0x043288f7,
+    0x7286a13b, 0xc8ca7ac6, 0x7798db17, 0xeec07d28, 0x46dff337, 0x78203005, 0x50cebccc, 0xe5303663,
+    0x878ea034, 0x73f45de2, 0x4f595dc2, 0xf26667ee, 0xec60efa3, 0xa881d55e, 0x93d862a0, 0x998d38e2,
+    0x1a68815a, 0xc0b4901e, 0x5090a335, 0x2b85c9dd, 0x1b4b7f54, 0xf9f72c02, 0xb91e5e6b, 0x0c5809f0,
+    0x575b93dd, 0x51e11987, 0xd61eb2a5, 0x498ee919, 0x881b13b2, 0x50fd9796, 0x99eb567a, 0x5658de61,
+    0xf7018412, 0x0a597e25, 0xee870df4, 0xea3aae3a, 0xb20f9910, 0x96bbe1a0, 0xf14c361f, 0xd3438c49,
+    0x60267275, 0xd2d0159c, 0x97cda786, 0x4624d364, 0x9621b149, 0xd34e1c27, 0xd1934b7a, 0x2d784e14,
+    0x5093ad54, 0x60f0eaf9, 0x47115f13, 0xf5e19549, 0xdb062256, 0x6ed6f751, 0x015db820, 0xb7d79e46,
+    0xbac103b9, 0x859b5869, 0xb6b76d66, 0x879b69df, 0x1e298e0e, 0xe597ff2a, 0xcffb7cf3, 0x78a3f42e,
+    0xb473a47a, 0x87306176, 0x780e12a4, 0x5c09310c, 0xb3b0e5dd, 0x79f46b5f, 0x16bb3088, 0x361ac0ae,
+    0xdf27757f, 0x08416e6d, 0x723a5f61, 0xf32e4bb6, 0xdfecfb59, 0x6977958f, 0xe16e3fbd, 0x977e2489,
+    0x74b94cf1, 0x5cc2951a, 0x960c5f00, 0x65e77fde, 0x1163137a, 0x82829c2d, 0x246943ed, 0x5eee53e1,
+    0xf0e56083, 0x3ce6df84, 0xc7cb58bf, 0x9ba2bfba, 0xb86cf726, 0x469ef4bb, 0x4f01ba33, 0xb6ec490f,
+    0x775d21f5, 0xc608c275, 0x8128998b, 0x7a5f8445, 0x2697f2a6, 0x94a4b73e, 0xa66a165d, 0x2c1c611a,
+    0x050b0273, 0x45355bbd, 0x8f09db49, 0xb7a3c7f6, 0xfeb0f5f4, 0x9c8eef54, 0xa764b912, 0x3a8590d5,
+    0x7e5f3527, 0xa790fab5, 0x875e26f1, 0x3dd9d946, 0x79ad142b, 0xbfef4b5f, 0xd7dd1f34, 0x5c821954,
+    0xe3b5bc8b, 0xa3458137, 0x1d121d46, 0xd298b4f6, 0x748dd359, 0x61c64f10, 0x9f99b038, 0xe19f5f82,
+    0xb5572663, 0x58856b0b, 0x6e84831c, 0x175850d3, 0x99fb3fd4, 0xae8a5574, 0xa1c0caec, 0x1772d45e,
+    0xe8f9a0fe, 0x3a46b089, 0x45dd0583, 0x0941b259, 0x736fcf94, 0xf459f7bf, 0x0b49b53f, 0xce45f03a,
+    0xf19838a7, 0xe3450059, 0xb3767dc2, 0x9d66dce7, 0xa3ed29ef, 0xd96a57ca, 0x94e8a6f3, 0xf3333645,
+    0xeeca7ee5, 0x7f13114a, 0x13ae9cad, 0xddbd8d77, 0x23149db1, 0x98d386f9, 0xe3e87f33, 0xdd935f11,
+    0x10d3ff80, 0x9d011430, 0xa70d7e52, 0x1d4eb397, 0x9488982e, 0x7b28c529, 0x3278b05f, 0x0897873b,
+    0x575ce0e7, 0x4e721432, 0x05493c6c, 0xf24d5edf, 0xb6034302, 0xab2e1ee9, 0xe29f2d93, 0x67190827,
+    0xb8344105, 0xf7cf7471, 0x4814e0ca, 0xe8fd401b, 0x97289d3c, 0xb48fa72d, 0x23b9e71d, 0x670b0b1b,
+    0x7cf755ed, 0x69c13876, 0x44570f4a, 0x89b00e1c, 0x1a88e103, 0x0b48ac1f, 0x3c5186d4, 0xb9bbade7,
+    0xa654fc6d, 0xc73578ec, 0x2ec16428, 0x1bf0ad86, 0x49757bbd, 0x4508707e, 0x33766e53, 0x38ca69b2,
+    0xe77b983d, 0xd1516572, 0x462be1b5, 0x1d758538, 0xc520d58e, 0x0afaf25a, 0x2242299d, 0x4183f654,
+    0xdc28d202, 0x5dc5e361, 0x16a40204, 0xd9f7e6f9, 0x53645690, 0x36d82722, 0x9866ded9, 0xe44144e2,
+    0x36583ea5, 0xaad365d0, 0x1e1e2a89, 0x8bf135bc, 0xe47fd280, 0xfa02fe27, 0xf9d666c8, 0x6945014e,
+    0x698e8cff, 0x9d952231, 0x86195269, 0xde2a63fe, 0xe06442d7, 0x57545d49, 0x43964738, 0x30c93494,
+    0x45e84446, 0x9f5e1598, 0xf2bd8711, 0x075ef403, 0xad583cfb, 0xb7941f4d, 0x114cb90c, 0x2beb174e,
+    0xb1845680, 0xf191e9d5, 0x209fdc6a, 0x6f5d9c77, 0x7d8d099d, 0xd5ba5378, 0xd2d0ca6a, 0x178caa3d,
+    0x68ff0580, 0x624c52cc, 0x7a69b236, 0xd4ed70da, 0xb725703b, 0xbcfdd680, 0xb985271e, 0xbf71b5e4,
+    0x1ebaa914, 0xede6a093, 0x4ffea6ff, 0xe6c70b97, 0x23376b8f, 0xb83e3325, 0x61c1bb91, 0xdbe18b5a,
+    0x44197324, 0xe482fa86, 0x82a4c267, 0xec2035dd, 0xd350ad77, 0xe9ed446c, 0x79418e15, 0x6820cbc1,
+    0xd65f3428, 0x442ea695, 0x5eed63b1, 0x2846d7ac, 0x439906bc, 0x232f218e, 0x0c8b4383, 0xc8ae2d82,
+    0xdaaef4bd, 0x43ceba28, 0xcc0be5ec, 0x02d1f4b0, 0x9a1ed39e, 0xcb079577, 0x716fa9c1, 0x9a4fc2ed,
+    0x98f4e676, 0x11d0ef62, 0x6cb30591, 0x5b51a46f, 0x45509838, 0xa43ecc7e, 0xf18632d9, 0x6c30ee11,
+    0xb4c7636d, 0x0e45828a, 0x58d68984, 0xc5d7b467, 0x17e45d02, 0x90747368, 0x29b2d702, 0xef908186,
+    0xf2fc2d8a, 0x71e11e0e, 0x367760d2, 0x3790d7ce, 0xddb53799, 0xb5d5b0e3, 0x2ed09f31, 0xc815147c,
+    0x16231e14, 0x99851bbc, 0x84cfda5d, 0xa5c52c8c, 0x3460d58a, 0x76e3f882, 0xd5f084b4, 0x251f5a4c,
+    0xb6d7551b, 0x679c455b, 0x71224f9e, 0x440f54e0, 0xc150625f, 0x1bda3de2, 0xea7e14ab, 0xbe51e96d,
+    0x00000000,
+    0xb6a04804, 0x9723a80d, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000158456325028528675187087900672 */
+  { 0x00000000,
+    0xd881d75e, 0xaeeaa9b4, 0xa3265d69, 0x3ae586e9, 0xe623d4c7, 0x3f9dee29, 0xa5d3ebf2, 0x3622166d,
+    0xe6eae8df, 0xe81f6075, 0x192a97ef, 0xec2be2e4, 0xbf4f47b1, 0x452edb6e, 0x547975d3, 0x94e9ddd8,
+    0x80e8e498, 0xb1252fea, 0x996c8eb3, 0xe6a3a03e, 0x86f6212e, 0x3f74cceb, 0xb67c7ebf, 0x5c81a9a3,
+    0xa1351b15, 0x5746c019, 0x0bef8ebe, 0x4c3f5c1a, 0xbfdd156e, 0x6fdd3a4f, 0x2eeba871, 0x3a4d9623,
+    0x39e0827f, 0x037131b5, 0xb547608a, 0x6f8ad244, 0xe489e306, 0x4455d148, 0x060de7d7, 0xbcbfe84c,
+    0x7b5bfe43, 0xd2ab2a32, 0x9e2fff0e, 0xf70a60a1, 0x97c658f7, 0xf4b53ae5, 0x6b0cf4f5, 0x6bc7c930,
+    0xcb7d5541, 0x2f42d07f, 0xf713a4b1, 0xba84aa46, 0x8b310538, 0x35f4eb20, 0x7353b009, 0x05359829,
+    0xe2de1b23, 0xa6edc992, 0xffbb6c7c, 0x0f44509f, 0xf7cf484c, 0xdb002a78, 0xdef1b201, 0xf37f20ff,
+    0x08b7b05d, 0x39d90e77, 0xd9dd52a7, 0x7515c547, 0x6b61b897, 0x01ade711, 0x2428ef71, 0xb29f7160,
+    0x11180aff, 0x8c3f96fd, 0xedbcea21, 0x123058ee, 0xbffde3f6, 0x77a022c6, 0x3bdf56d5, 0x0578ecab,
+    0x37d31083, 0xa946e924, 0x6b4d9037, 0x4fa11f44, 0xa2faa0f3, 0xf5f78e57, 0x00869bbf, 0xe7312a57,
+    0x72b6a28e, 0xe24850fd, 0x41a16a92, 0x5a345c2e, 0xded61e86, 0x0421225e, 0x53339a44, 0x7f24ed37,
+    0x323c8000, 0x1af6efde, 0xe367d58e, 0x346e1a4f, 0x490e0876, 0x4aacbd01, 0xd5705912, 0x91deed5d,
+    0x19d277a2, 0x71be74c6, 0xe691916b, 0x28e9d065, 0x9db94a64, 0xb0ef369a, 0x81a0857e, 0xcb9feae0,
+    0xf9eaf1fd, 0xa6bcc9a5, 0x04297d1d, 0xafdf370c, 0xf101ffe8, 0x3193c653, 0x88130749, 0x6dd4b344,
+    0x1cc90154, 0xb16a5151, 0x6f1d7531, 0xf694d5b4, 0x74ae140b, 0x15b9ca14, 0x09231ed0, 0x9d59002d,
+    0x86067def, 0x992f2daa, 0xf686804e, 0x74b08ca9, 0xf4f61e67, 0x94fe9435, 0xdf18bee0, 0xea95591c,
+    0x8601993a, 0x7ab69631, 0x8c2c0455, 0xb8afff4d, 0x31edc8db, 0xebde0055, 0x877ca931, 0xfdb777d1,
+    0xab468f16, 0x0a7c6488, 0xe316d578, 0xfef6199a, 0x217a980d, 0x62f5f55e, 0x76596343, 0xe8955063,
+    0x034f5201, 0xb3aff9cc, 0xc510d35d, 0x318db6d0, 0x516f177d, 0x9b7b6873, 0x14249946, 0xc160ad49,
+    0x06a2962e, 0xa5a5014c, 0xf7cb1b98, 0x6aed5048, 0x3fdda735, 0x3e6f4c59, 0x4b72d601, 0x7594b935,
+    0x20bf7e4c, 0x63cea2a3, 0x3c7076a9, 0x957bd073, 0x381477e7, 0x7d45106f, 0x08eaf17c, 0xe281af58,
+    0x415c301c, 0x0bd4ce83, 0xf76143af, 0x42448fc5, 0x57118889, 0x1c418a3a, 0x44fc0a17, 0xb4c682c0,
+    0x5fd7cca5, 0xa0d3a08c, 0x5fefc7b6, 0x6bbeb53b, 0x9a2bf890, 0x7e630313, 0x229c7322, 0x8d51b243,
+    0x4dcc5d71, 0x8864f7e6, 0xecc4446f, 0x40c251b3, 0x845aed26, 0xfe11a8d8, 0xa4102bc2, 0x745e61a7,
+    0x786ed144, 0x57adea16, 0x402a1df3, 0xda07615e, 0xff9ab05d, 0x1ded4ab3, 0xdb84a227, 0xa5ec4b70,
+    0x5b2339a1, 0x44bfc341, 0x8e59d3c1, 0xb127c29f, 0x7a487fc3, 0x19fb958b, 0x0d29ea17, 0xf7782d64,
+    0x2d0dcd1e, 0x75307a05, 0xfc25d09f, 0x62e10b00, 0x27d0ad6c, 0x5612ce7f, 0x121c606e, 0x6f189676,
+    0x9ba6e648, 0xd36765bc, 0x915a95bb, 0x6d7da9c5, 0x2de7782a, 0x3ade241d, 0xa527fb69, 0x6d8d4a91,
+    0x87dff97e, 0x1c146db1, 0x7a85cb0a, 0x06e502df, 0xab14c1be, 0xe16e0f33, 0xfeb720fd, 0xfdb03b2e,
+    0xd2696d38, 0x988d6bc4, 0x85bee8a4, 0x10c534a2, 0xedbcf1b6, 0x9781154e, 0xae28478d, 0xccaab41a,
+    0x7136d468, 0xf022dad7, 0x99e38310, 0x22f1c370, 0x8195d407, 0x9108bd37, 0x2d8c9421, 0x6a163068,
+    0x8666941c, 0x7ae78e3f, 0x7c7d892b, 0xe069fcf1, 0x62f9d80a, 0xa89d4900, 0x1c873130, 0xd0a7c01a,
+    0x083ea062, 0x639bf013, 0x324abade, 0x344a8d76, 0x3b8f1e1f, 0xfffcf0f2, 0x47cdfbaf, 0xd6c1ebcd,
+    0xf19595f3, 0x408d6d82, 0x2a62a978, 0x2184da47, 0x66cdef11, 0x00adbf87, 0xcbf8a449, 0x79ffe18e,
+    0xf379a9b0, 0x9637b348, 0x03cf3056, 0xe1f73198, 0xa9ddd92a, 0x19cbf98b, 0x578d3887, 0xed461946,
+    0x9756e7ca, 0x6bf7fe90, 0x7bcec4ad, 0x95d15dc8, 0x4748dbea, 0x0988b542, 0xdd2f78cf, 0xf0bc26e2,
+    0x435d9caa, 0x6e0f397e, 0x0c349f7e, 0x6c732f78, 0x5e7268d1, 0x4e03edd3, 0xb6be140e, 0xeec9f117,
+    0x86c54ff7, 0xe9e4e1d7, 0x2071e4c3, 0x55ec37eb, 0xff763a15, 0xe4822f16, 0x3f442cb5, 0x8adc9fdd,
+    0xa47775e1, 0x016d4537, 0x58dfc41d, 0xc25d7e32, 0x6e569137, 0xb3b2cf51, 0xab011f80, 0xd340fb8a,
+    0x34ff6f8a, 0x0fc18b20, 0x103600a6, 0x4e26df12, 0x13060293, 0x16189397, 0xb364a43c, 0x3fd995cb,
+    0xac11c06a, 0xea585c3b, 0x5a340992, 0xf9b8c003, 0xb895b995, 0x7af7e140, 0xbc3e3d50, 0x5cca9ff4,
+    0xd7e5a020, 0xc2e2f075, 0x64b9ec0b, 0xce6dd402, 0x3173fd70, 0xf8d773d0, 0x8e5f02ad, 0x86efb52a,
+    0x9f9c6d61, 0x9de80450, 0x646b24e4, 0x00e5a1a1, 0x740706be, 0x90e2b1f6, 0x990a92ae, 0x6fac6855,
+    0xc113ddca, 0x557ed8b4, 0x0cb6c5cc, 0xb4e818e8, 0x1e1c7fb8, 0xb4814970, 0xaa358a81, 0x2aa0aa75,
+    0x1c5c396e, 0xad105d52, 0xefccce76, 0x5d309635, 0x7b024d2f, 0xb77ae498, 0x84d01d94, 0x8fcdfe31,
+    0x0d264d0e, 0xb35db943, 0xc61b5dcc, 0xfc20ee9e, 0xd2bced45, 0x6d341225, 0x17264161, 0x39739df2,
+    0x324bc048, 0x7dd4d679, 0x49933aa5, 0x012c6174, 0x4d438c6a, 0xa12533ce, 0x9a7b81b5, 0x1ce77b72,
+    0x270dc118, 0x6027288b, 0x58a20f82, 0x7eccf5b8, 0xf0a0e1d3, 0x69d20cd2, 0xd64ddc05, 0xdfd43674,
+    0x193f10d5, 0x38da3772, 0xec1b25dd, 0x4559a7c8, 0x4f2d1cbc, 0x7c0a9d67, 0x34bade10, 0x13656a50,
+    0x1082d5fc, 0x9d2bb4b3, 0x9341f535, 0xf75a53e7, 0x1d07b873, 0x9fd5e90d, 0xb58e428d, 0x0313ce23,
+    0xa9b18a0b, 0xbf3ce7f4, 0x3c6482d7, 0x2b5adca7, 0x62f4cb3a, 0x4fede24e, 0x2f9b09c1, 0x20ee1bf2,
+    0x28a0bb84, 0x0e53cc77, 0x68e467bd, 0xaa1bd8d6, 0xa0b1c85c, 0x5a47ee60, 0x3aab4ed1, 0xb9d25e09,
+    0xa2d221e2, 0xea8f6df6, 0xfd03e2b4, 0xb22801ec, 0xf50f249c, 0x36b2a7cf, 0x26aa8b03, 0xd847b031,
+    0x9ab0bb2b, 0x78be1f83, 0xa3e507a6, 0xa0e8aaf2, 0x4f3479fb, 0x4714714f, 0x01a7daf2, 0x5c7b8ebd,
+    0xb34eacf7, 0xc2df516c, 0xd4734c8c, 0x605a864a, 0xeb46759e, 0xcbc7c50b, 0x3829a59d, 0xfd591f25,
+    0x0226cb7b, 0x3d89c134, 0x6204b8b8, 0xe6ce0235, 0xf1625387, 0x390114e6, 0x4108efcf, 0x91b3338a,
+    0xfef4194c, 0xc0501c17, 0xd0a2b047, 0x111aa183, 0x1f5c6850, 0x46cf5264, 0x3555a3ed, 0x3cee09c4,
+    0x37d11344, 0x7675a077, 0xd4af7dad, 0xd6b15358, 0x69abd93a, 0x8d90767a, 0x6a202c06, 0x76d9a940,
+    0xd50ed481, 0xbf2d4879, 0x5227112b, 0xf400b334, 0xe03045b7, 0x75dcecef, 0xc1f8b607, 0x9789fba8,
+    0xc3c5880a, 0x9596ca0f, 0xf7ac732a, 0xe2dd4467, 0x97c4276c, 0x395f18ce, 0x694d38eb, 0x0d461bb8,
+    0x77e7f4a0, 0xbb40c07d, 0xe602259c, 0x42d8d310, 0xc8a1198b, 0x10c0e113, 0xaaa0ba9c, 0x302e5a4d,
+    0x44734ce7, 0x7709d397, 0xc228f8ae, 0xa0eeec46, 0x647b0008, 0xdb2c6c2e, 0xedf31af7, 0x191db76e,
+    0xd1bc0dbd, 0x73e072ea, 0x7713380a, 0xa510063a, 0xa9de052d, 0x85cf3b38, 0x8b421e0e, 0x3b901add,
+    0x3571fbf3, 0x5792ef21, 0x26210df2, 0xaa2bafb1, 0x2c88d10f, 0xb4875a22, 0x0852c1a2, 0x538ce0af,
+    0x6ed3283f, 0xba8cadb7, 0x6faaeb9b, 0xb2160ac1, 0x21b42e8a, 0x886595e0, 0x3ede8914, 0x53738472,
+    0xe3672450, 0xc070e7fd, 0x354d29f6, 0x855a7ae2, 0xcf1dc198, 0xdbb621d8, 0xf1110d15, 0xbbd01b0e,
+    0x8ac7d356, 0xbac4a8a8, 0x0e0de8eb, 0xe99e31af, 0xe25f0855, 0x81986cfd, 0x9d225882, 0xa2dca6ae,
+    0x30f452d1, 0xf3d3d0b5, 0xe38f62e0, 0x9005486a, 0x0a3218e4, 0x0ad64c39, 0x7490c065, 0x14869b8a,
+    0x1f00b006, 0x19a514ba, 0x19caf643, 0x1d8bd231, 0x1b48ad8d, 0x8f7c9285, 0xf43503fe, 0x2cad5250,
+    0xf9ec3ed7, 0xa7a85f94, 0x889dab8b, 0x978a9f35, 0xd1cfe6d1, 0x5832c3f9, 0xb0d25c09, 0x62d3c8bf,
+    0xad1399e2, 0x2a353ea2, 0x9606b4fe, 0x2dfa1509, 0x5d2e17e0, 0xb43bdf45, 0xb195b5bb, 0xde9ac760,
+    0xe72ee919, 0x0cc30af4, 0xf1d9dfe0, 0xf88fcfdd, 0xe97bd6e6, 0xdbe18c8d, 0x48f26199, 0x50c862bc,
+    0x0d406ee6, 0x2b64a56f, 0x4d58e7af, 0x54c2d9cc, 0x0543301d, 0x0773ef31, 0x454d124f, 0x4cceb294,
+    0x7725a71f, 0xf0cf071e, 0x5b70f069, 0x2d470e82, 0xb42231a5, 0x22e9c451, 0x56c960c6, 0x456e3066,
+    0x3ff379f3, 0xea225172, 0xc691ccf1, 0x6391ebc4, 0x918ae036, 0x52d6d75c, 0x2aed151e, 0xd4040474,
+    0x3327492f, 0x92d4aa56, 0x74402faf, 0xc8a728f6, 0x5fb53658, 0xf6bddf6d, 0x4dc4d2ae, 0x5747fa37,
+    0x083201a3, 0xeb083aa4, 0xc72a74ed, 0x8b39cd36, 0xcc5e8589, 0xc7738aad, 0xe7050fac, 0xdc413660,
+    0xcfe6207a, 0x33187fa2, 0xde1b42e3, 0xa4fe67ec, 0x268a2c45, 0xd11b42e4, 0xfb96bd56, 0x4ca6ec65,
+    0x9127f01f, 0xf8e6cda0, 0x77d8499a, 0xd38466e5, 0x09a59877, 0xfc8ea52c, 0x194608d3, 0xe57e6176,
+    0xdfba78d5, 0xd279cceb, 0x189abb16, 0x106f84d6, 0x183717f5, 0x04e52e56, 0xafdad5b1, 0x00b5cbf7,
+    0x44cc56f3, 0x780814dd, 0x16351a0f, 0xcc15e743, 0x850800ea, 0xd7033a8d, 0xcfd784ba, 0xcc787e03,
+    0x25c4de33, 0xf2afc7ba, 0xb3effb60, 0x75b85d90, 0x443d482b, 0x126fb805, 0x61a25725, 0x29848d8d,
+    0x5367c33d, 0x2343ebf8, 0xce2c0aae, 0xc42afd8d, 0x7da00e3f, 0xcbdeb49b, 0x0f272c3d, 0xbc527d31,
+    0xbe6d16d3, 0xf169b6da, 0x2276956f, 0xf3c46c2e, 0x6edb9234, 0x25b63786, 0x9c4be738, 0xba27dcc4,
+    0x71974361, 0xc24de77d, 0x7e6436d7, 0xd0c88dd7, 0xbc3d2970, 0x0a4bf0e3, 0x8d7e359d, 0xd4ff7853,
+    0xca9c87cc, 0x5e0385ad, 0xb057a7ad, 0xeeb5d53f, 0x771c9cd3, 0x33af3131, 0x3241c7bd, 0x712bf57b,
+    0x1a08a8c7, 0xc7bdb28e, 0xb802b4fa, 0x7eff5455, 0x2a958732, 0xc32e1522, 0xe3091061, 0x1a9a3aa0,
+    0x9c3a6d1e, 0x43ec30db, 0xa244b924, 0x72ecd78b, 0x5a2e2ed0, 0xd9d2c499, 0xdc20867a, 0xe0321c75,
+    0x3ca34a22, 0xac3b3f16, 0xe156735f, 0x532e825a, 0xdd82117a, 0x0891cc7b, 0x0ba7f10a, 0x7a4b7d93,
+    0x972794b9, 0x19690e3c, 0x76e96818, 0x73eb5ce3, 0xdc881cad, 0xa8bd656e, 0x392a3ff0, 0xa427688a,
+    0x0fbdc395, 0x7c387e25, 0x63c843ad, 0x4b31a23b, 0xb55b2ccc, 0x807f9c63, 0x82423c72, 0xedb71c17,
+    0xca6f656b, 0xf2b922ea, 0xf51a6335, 0xd244fda3, 0x82e28578, 0xa6b2e57f, 0x3f872e6d, 0x33fc33c9,
+    0x07670b32, 0x38d495e7, 0x6c288506, 0x7884a3d5, 0x9fc450ba, 0x8f361166, 0x5a48cd71, 0x66eac3f9,
+    0x05f9fe90, 0xefb51a44, 0x5c2a2896, 0xb611fe3e, 0x140deb0d, 0x9916fd01, 0x1d310a91, 0xfef0fe76,
+    0x98abe78b, 0x6ba5d1ce, 0x0255e625, 0x3be26fff, 0x746165ef, 0xd10b7d1a, 0x1f9cb5fe, 0xc9ef089f,
+    0xe689e274, 0xe8386281, 0xb98ce683, 0xa90ad6c3, 0x24dcfd91, 0x7c1b8d72, 0x6d2a0f59, 0x87190bd6,
+    0xf577fc4c, 0x6df1b646, 0xafcdee1e, 0xb3c75269, 0x517d1084, 0xa49ea09d, 0x2e71577f, 0x1e686e13,
+    0xd872ce3f, 0x1b49fa8d, 0xc1ae0538, 0x630ed440, 0x59c45457, 0xac065452, 0xbdede473, 0x3de9174c,
+    0x7148deed, 0x854f0653, 0x03864344, 0xfab83cea, 0xd2c3a3f0, 0xcf6df558, 0xb98da6af, 0x5fca1657,
+    0xea3e9e4b, 0x41c0db6c, 0xd1adf573, 0x19f57f25, 0x06af3cb6, 0xc0d6c18d, 0xe2740666, 0x6c098d04,
+    0x4644ae8e, 0xdad14758, 0x7f103de1, 0x16591d92, 0x349d372d, 0x0b8e22df, 0x0d05ea1b, 0x61fc8d92,
+    0x3a09b16b, 0x0d947bf4, 0xc4d1e50e, 0x14e632bf, 0xbfd72341, 0xdedfce4b, 0x70ec49a6, 0x3fee66cc,
+    0xcdf5404a, 0x50cd483d, 0x9bfd4fb7, 0xdebb879e, 0x8fbf1932, 0xc0fa5acc, 0x28027ff3, 0x8f2df7fa,
+    0xdb37b159, 0x816bd14a, 0xa9b3647e, 0x4460b069, 0xcfc9772d, 0xa29f5c9a, 0x57652e06, 0x915c8ef8,
+    0x82757308, 0xbeb1fe03, 0x2a9957ec, 0x52546d7a, 0xefca2895, 0xe0eead89, 0x679d81cb, 0x60db59a1,
+    0xbd5c55a2, 0x95988930, 0x430ca3c7, 0xc9abae83, 0xc68447b1, 0x44910097, 0x18d95b50, 0x9b6361ff,
+    0x0ca818d1, 0xebab393c, 0xb79cc43c, 0x0bd9a083, 0x918e5a34, 0xac0e2f89, 0xf88b4067, 0xc05ef085,
+    0xfb1a20f2, 0x4a8ba2b2, 0xa63fdb4d, 0xb9ea16ea, 0x69caf087, 0x90dd2419, 0x31e39421, 0xfda95bbb,
+    0x5851647c, 0x5c570999, 0xebb45258, 0x85dcbb3c, 0x4d0a4593, 0xf6940ac2, 0xe8e1da82, 0xca8adb2e,
+    0xdf4d8dc9, 0xc45fcd71, 0x84646e54, 0x28db6e90, 0xb804e11a, 0xdcd6172c, 0xde9d9dca, 0x1a17a864,
+    0x9a830b35, 0x56d9f63a, 0x3ccf5ec6, 0x2829b5e5, 0x81aed84e, 0xe1b0f41b, 0xf6e6c891, 0x5492c2a1,
+    0xfd8bbf01, 0xd476e9dc, 0x6ab242fe, 0xbee81cd4, 0x28e1eaca, 0xcdcc7552, 0xac283f67, 0xfee8739e,
+    0x893fd77c, 0x3a22ce2a, 0x04ec5e31, 0xeb2008a7, 0x6c7904c6, 0x843bf6f0, 0xca39ec3d, 0xe6cdbf33,
+    0x0f502dcb, 0x24cbeaa0, 0x68332a23, 0xdd12f96b, 0xe00bfd6f, 0x3dbe8a1e, 0xf6433839, 0x855d7766,
+    0x574bfc07, 0xfdb812bc, 0x62921e75, 0x69e6b529, 0x936cdbbb, 0x567c6075, 0x00c9f5ff, 0xe50a9b23,
+    0x17ca57eb, 0xef4a8871, 0xea9c8897, 0xb5b8499d, 0x9b9b1357, 0x928e81b6, 0xc0af9501, 0x0045dcf7,
+    0xf3c16053, 0x40d31788, 0x3eda6898, 0x268fb7bc, 0x230032ab, 0x62a976d6, 0xc98b579c, 0xb80ed669,
+    0x1549b9e1, 0x76aedfe6, 0xea2d4801, 0x5770c5db, 0x22380d0f, 0xdf8f101c, 0x90a54e7c, 0x65696a43,
+    0x65bda0de, 0x156cf330, 0x143e7f3d, 0xade5b65d, 0xfad46665, 0x4f5b0b9f, 0x7adfa469, 0x2daf3a46,
+    0xe157237a, 0x1a1b56f2, 0xde17e733, 0x62782143, 0xe5c25245, 0x25ae4d72, 0xffdc1863, 0xad71c43c,
+    0x8c7dca12, 0x03c46166, 0xef823a60, 0x2e402cb0, 0xf89806c4, 0xdd60c644, 0xece5fcf5, 0x00ecf759,
+    0x567b316d, 0x2b355331, 0xb74af12c, 0x903fa4dc, 0xcff1621c, 0x92e55c00, 0x24c03e49, 0x9eced6c2,
+    0xf2548954, 0x7432c079, 0x58799734, 0xdb5e584f, 0x47f36d7d, 0xee0127e3, 0x1850b737, 0x3a820539,
+    0x3f2d038b, 0xac438353, 0x9e1cb55f, 0x872d72c4, 0x3e0b790d, 0x2711440e, 0x2e85207f, 0xbf7eec26,
+    0xf6d4d8c9, 0x7d8faec0, 0x9d655b4f, 0xf0c488de, 0x8cd54a2e, 0xa3472767, 0xd911449c, 0xdcbafbd7,
+    0x00000000,
+    0xdb502401, 0xcb91d406, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000079228162514264337593543950336 */
+  { 0x00000000,
+    0xc333fdda, 0x437b21a3, 0x9cd7f363, 0xea74adca, 0x55689fcb, 0xea6a4f3f, 0xb8ba8e7b, 0x010d28bb,
+    0x3f945669, 0x8385c36c, 0xe021fbdf, 0xc2441fd1, 0xc0085f36, 0xa90564f3, 0x67f738ae, 0x2f1cfa48,
+    0xfe97940f, 0x3eab436f, 0xc97cde4f, 0x1cc1690a, 0xb8eae8d3, 0xc73a4107, 0xc8772fc9, 0x751ec31d,
+    0x8e302744, 0xb9f11d72, 0xc8e9fc4e, 0x00160f06, 0x27860315, 0x6c2cb46d, 0x9500c1ad, 0xb4d6bc1c,
+    0x64e96290, 0x1a6ab9d4, 0xea9626b5, 0x49fb3ccc, 0x44d9f4d2, 0xd12bdbf3, 0x9322c6d4, 0x2ab208ce,
+    0xbdcee538, 0x28dfdaa8, 0xfbac9cd9, 0xcb787d7a, 0x798b8de4, 0xe32c8643, 0xd44a6629, 0x106fe84d,
+    0x1f28cb8f, 0x2a7cb87e, 0x776cf062, 0xfdd6268a, 0x1eb930f0, 0xc3a49cf7, 0xfdd8b13c, 0xe30091de,
+    0x41b156e8, 0xcca9109d, 0x85a296d5, 0x0b7354d3, 0x6bc82b75, 0x2ee2cfe2, 0xd72d0c8d, 0x09da67fa,
+    0xacdce282, 0xb77da58b, 0xecb5b461, 0x8d140f30, 0x49145ae1, 0xba2c03e4, 0xd6e2b97b, 0x518f34d8,
+    0xe5f7a31a, 0x837f664b, 0x0695641d, 0x77ae5466, 0xa8e0a737, 0x3f198f5e, 0x5fd229c9, 0xb1519e44,
+    0x48fa2706, 0xf67a3396, 0xc35fcfba, 0x8cddedfd, 0x6c0e34fa, 0x6253e881, 0xb2e32156, 0x6cd8d39a,
+    0xc767bc4a, 0x869fe7e3, 0x22fbf4a6, 0xd7b883d0, 0x4e45a43b, 0x5a78c01e, 0x71616e07, 0xd39256ab,
+    0x2239a4ba, 0x5f4a5aca, 0x10795d9c, 0x684c687c, 0x25494419, 0xc7ad7fce, 0x2fee8020, 0x54b05b29,
+    0x9005208a, 0x05bd6a65, 0x160b9706, 0xe92e9d9b, 0x005edff6, 0xdf161c52, 0xf76774ff, 0x5afc8b36,
+    0xe9e103b0, 0xea9713d7, 0x6869c72c, 0xbdcad178, 0x7d1e2d54, 0xe04fa36e, 0x0a3de4a1, 0xd70f182f,
+    0x60e433dc, 0xf92d334f, 0x147311a0, 0x62b60718, 0x2da59913, 0x7bb42c1d, 0x12d051a8, 0xd6cbb06e,
+    0xe5e1e328, 0x4f95b138, 0x2bc58c9d, 0xd53f6af6, 0xd992011b, 0xacb9e62b, 0x9a8ffb89, 0xbd1acc7f,
+    0x51f0a22f, 0x35462ef8, 0x56af82fb, 0x0d6ff1b3, 0xa8b3fb25, 0x018d9324, 0x01b5d6a3, 0xb8cf780c,
+    0xc99b0e73, 0x0c9f7bf6, 0xc222c73c, 0xbe9809a5, 0xf495be70, 0x58822509, 0x978025cb, 0xcb297f77,
+    0xabda37b5, 0x68910a28, 0x09fb321e, 0x3f2fc6d1, 0x4b0c41d6, 0x4f23c757, 0xa017d0e5, 0x759110c7,
+    0xc0c573d5, 0xaf5672ff, 0xb7b2323a, 0x1b0e9ca3, 0xc8c0a08d, 0x86225129, 0x25a2e228, 0xac06b4cc,
+    0x5c70b113, 0x2f730d97, 0x8b0ce042, 0xc639f8b9, 0xa9a714d7, 0x52a190d9, 0x6b707a70, 0x2a331e3b,
+    0x66db4f2a, 0x2ff5d480, 0x255ade1a, 0x7502e6e4, 0xb310e52e, 0x40b2e63f, 0xc782a5fa, 0x512bd9de,
+    0xc4e3f7c7, 0x88b12bf6, 0x50dbd958, 0x17a9c5b4, 0xd7231c37, 0xdb90dbaf, 0x38715d63, 0xe14ddde4,
+    0xe13a6c52, 0x9c9fcf46, 0xbe0ac591, 0x6cde5a21, 0x80703732, 0x30bd913b, 0xd639c7e3, 0x99be168b,
+    0xda854513, 0xb7a450a8, 0xce951638, 0xdc570e93, 0xf787984a, 0xef36d5bd, 0x0caa4c4e, 0x4d31a1df,
+    0xf3912716, 0x1994d9ad, 0x9599246f, 0x9762c580, 0x40853cb6, 0x2bc02817, 0x879c2102, 0xb486d030,
+    0x7c9a80a9, 0x35b01267, 0x41482604, 0x487e143b, 0x1078c72f, 0x35356a50, 0xfe1f879e, 0x206dd588,
+    0xd0a572af, 0xea6f9ec0, 0x04df6530, 0x270537bc, 0xddc64dee, 0x8f352b02, 0xa94b7d5b, 0xf68d8860,
+    0x6bbe52fe, 0xd34fbfe3, 0xe7b61105, 0x874096d0, 0x99f32a8a, 0x04217a7f, 0x3fb7f332, 0x7ba26bc3,
+    0xd1c52bb1, 0x1ff2fe65, 0x4df2137a, 0xfc198861, 0x5918f596, 0xc412e057, 0x26be4ea6, 0xd54b0ff2,
+    0xd4f7f826, 0x3ffcf28a, 0xbb94b0c4, 0x063fb04a, 0xed3c7f9a, 0x80ee352b, 0xdc8c702f, 0xe1e5805d,
+    0x814b32f3, 0xdc94eb50, 0x01d27746, 0xd8e58614, 0x0e89cb5e, 0x745cb19c, 0x1db3359d, 0x74234913,
+    0x1662c80a, 0xc88554da, 0x512be566, 0x8575cab4, 0xdf7adf8f, 0x52d4e538, 0xf8ccfece, 0x46096627,
+    0x33d49933, 0x5c51d3cf, 0x90651fe1, 0x415d0467, 0xee01e3eb, 0x768b977e, 0xd7a733b0, 0xfa447269,
+    0x3a75f1af, 0xbc5627a9, 0xbf2d7bc7, 0x6043e597, 0x11ead933, 0x6e29fc44, 0x63dee64b, 0x085ea1d5,
+    0x2c92e0bc, 0x2d4d743d, 0x6edf7c7a, 0x0af09d4c, 0xd3d57db6, 0xd2894a10, 0x19d2a0d8, 0x35e59cba,
+    0x625207a9, 0xce0cb718, 0xe5cbe84e, 0x8650daeb, 0x8a9d2884, 0x23833a33, 0x6dfa4364, 0xef99921e,
+    0xc4c33df7, 0xff6dc8d6, 0x0d41b23a, 0x630f03a9, 0x124c4b32, 0x2014b6dd, 0x07991a1a, 0x8ed7b745,
+    0x43278639, 0x51603447, 0xf3ee5392, 0x311c73dd, 0x28d7f485, 0xd2a86ad3, 0x899657ea, 0xaee0b01a,
+    0x583d574b, 0x3d34871d, 0x4897c9cf, 0x20bcba06, 0x04c280ae, 0xc6803dd2, 0x873ee3b1, 0x91ca95a1,
+    0xf05ba539, 0x8514aac5, 0xc6f7c859, 0x5e95adef, 0xe791d313, 0xdd3278b0, 0x217147a7, 0xcd3bd309,
+    0x91027ef2, 0xabe646d0, 0xb5955f65, 0xbbf0c483, 0xe7454287, 0xd14ea5db, 0x1796d2bf, 0x1c01ef43,
+    0x6627d6b2, 0x7bb205fe, 0xe91c0947, 0x3924f46c, 0x07470ad3, 0xecb54b44, 0xb3f46e68, 0x7fb0d8b2,
+    0x174126e0, 0xc9c04ac7, 0x4ff7d0ee, 0x61e29ed4, 0x6b6a1af2, 0x1a77ee9e, 0x902506ae, 0x021464dc,
+    0x2ac2f924, 0xa542ebd4, 0x67eb8359, 0x4cb4cefe, 0x888567e5, 0x323cba0b, 0x742bfb04, 0xf5982402,
+    0x34dd8420, 0xd288b55b, 0x9ea5bbb7, 0x7eec4008, 0x61773f26, 0x3b26aeab, 0xd1dfbfc5, 0x4195bf62,
+    0x143a0ea0, 0x04e7aa50, 0xa8de4034, 0xf1ef06d5, 0xf3f3885f, 0x75b04921, 0xb4ae3336, 0x177ba32e,
+    0x023e06eb, 0x3b752544, 0xd67e1649, 0x5017fd03, 0x98679c27, 0x67d4b8d7, 0x473a9467, 0x0613c52e,
+    0xd43077c7, 0x465cbfc7, 0xf86dff68, 0x2a165315, 0x26de4146, 0xe988cb31, 0x990b82ce, 0x88e64618,
+    0xf7e1f663, 0xd8ab7374, 0x68869b85, 0x86de1f37, 0xb0cee751, 0x9fe25811, 0x1cf9ca7e, 0x04621d85,
+    0x8723186d, 0x18afa771, 0x6a0998b9, 0x6c1233be, 0x38036d9e, 0x09c0c3cd, 0xa5d38772, 0xdd74f771,
+    0x2f2d25ec, 0x901fb21c, 0x6abd52ef, 0x9a80e535, 0x45a9fbbb, 0x8b93289d, 0x335c38c0, 0x82bfb581,
+    0x8c222deb, 0x739f7021, 0xf30817fc, 0x19b8fee7, 0xaeb8c099, 0xa4fe3950, 0xd14f13cc, 0xc098d3bc,
+    0x376b171e, 0x42f68e08, 0x0e7d7030, 0x52342721, 0xe6a83233, 0x845441ee, 0x73654c99, 0x1c987c99,
+    0xcab20940, 0x8a9a7f97, 0x9c92e192, 0xf29bb5d7, 0x4f08677e, 0xc739129b, 0x19030c19, 0xd31662b9,
+    0x71ef4145, 0x660af83b, 0xf87a2c34, 0x199de103, 0xbe2b0e20, 0xd1d025a0, 0xf7f801e2, 0xa94f830a,
+    0xa5d1c9e9, 0xb1a9eabe, 0x8078b223, 0xc256a951, 0x63d655e8, 0x1358be3b, 0x95c26ef9, 0x1638b1c0,
+    0x4076e82f, 0xb1670564, 0x8ed84549, 0x935a5467, 0x55f21f2a, 0xeb5e5fba, 0xc179390b, 0x03439491,
+    0xb35e68bc, 0x5d0f74f9, 0x37b61826, 0xc5012650, 0x3645b4f7, 0xb82dde36, 0xc2b74880, 0x00c0675f,
+    0x234752fb, 0xf65d95b8, 0x26c4b7a0, 0x687c5c58, 0xab2cd94c, 0x0369f5c3, 0x4be10b9c, 0xa08f68d0,
+    0x0f368dda, 0x14acdd08, 0x9d79bc33, 0xfe1bfea4, 0xd83c6e16, 0xf2ea678d, 0x6b11d2e6, 0xa2cf19c0,
+    0x5a017ecd, 0xf8793754, 0x2df30d17, 0xde55eeef, 0x597b7111, 0x98af8560, 0x5311d973, 0x67e37026,
+    0xf016b646, 0x4f9c4961, 0xfcfc3115, 0x08b73c90, 0xd92b0cab, 0x85704c30, 0x7b301ee1, 0xe01c9837,
+    0xc064f3d7, 0x16397ed8, 0x68080a69, 0x8ba8ad65, 0x2ed14ed8, 0x94d74542, 0xa22070a1, 0xe8895f66,
+    0x3ee4d47f, 0x54492608, 0x82ecd78a, 0xf1b9238e, 0x72d601c9, 0xffed9e1d, 0x8c4d8e8b, 0x11ec629f,
+    0x237c42a7, 0xba6ff6c6, 0x210fc652, 0x3d759c7a, 0xf7a19308, 0x555f94e5, 0x5d753147, 0xff0e4172,
+    0x3d3db1b3, 0x7e4aa230, 0x1c3b392a, 0xdf0b6905, 0x9dc9eecf, 0x4a788297, 0x2bd22fe8, 0x5689c0b6,
+    0xa0a0ce82, 0x7b9db568, 0x13537e71, 0x0e1e9560, 0xc7de324b, 0x8b4788c8, 0xf9e08e8f, 0xb24fa3bd,
+    0x1ce1de95, 0x8f33fdd3, 0xf7471963, 0x5c44b564, 0x95382c57, 0x47989019, 0xdb58f452, 0xaa5eb6c0,
+    0xee5d2bcf, 0xfe3cbe44, 0x8e3daed2, 0x0313db8a, 0x23b06bcb, 0x595c57d7, 0xf1fd6946, 0x4c54b3b5,
+    0xffa84ac2, 0x0e736012, 0xb532256c, 0x89474129, 0x4b759556, 0x5b624baa, 0xbaa13952, 0xd212d147,
+    0x5a95659e, 0x0b6aa495, 0xb6c9625a, 0x3faf28fa, 0xdaa427d0, 0x4fceb48e, 0xbe54706f, 0x5c2d6fbc,
+    0x11d2a52c, 0xbdcd1070, 0x7b6db6d5, 0xb11864f8, 0xad1e016d, 0xf8e18729, 0xa7ae1e8f, 0xc0c3b3e3,
+    0x63c4795d, 0x33973b27, 0x34f7ad7e, 0x1ec7895d, 0x6cc208a3, 0xebb4c9d8, 0xe352c564, 0x765efdc3,
+    0x84af6138, 0xdb231ba8, 0x154399e3, 0xc91e8dd6, 0x4c7c7ccc, 0x13fd428c, 0xc67f6d01, 0x194f9f6c,
+    0x07cb7099, 0x54438645, 0xcbea3334, 0x3f92409e, 0x47227081, 0xbe07bce7, 0x05ad1045, 0x81448e7c,
+    0x7b2ba94b, 0x709e3097, 0x77925359, 0xf94467c5, 0xb27acf61, 0x7026ddb4, 0x55ee98ee, 0x0804b593,
+    0x779e5d3d, 0x2841d3ff, 0x8e0bc02f, 0x97c4ab48, 0x0b60e61a, 0x769fd5e6, 0x65f6e3e6, 0xb722afd1,
+    0x908b98ac, 0xef1ab3a8, 0x95e8c382, 0x3861a9b8, 0x388c02e3, 0xd4c6b2fd, 0xdab0a576, 0x50ffb5b5,
+    0x9e97b010, 0xa518cf70, 0xc4cf1410, 0x538bcd57, 0xdd07eed8, 0x8f25b387, 0xc0a0c33e, 0x6103611f,
+    0xfa3481ea, 0x0e394ac3, 0x796077f7, 0x0f2a7c82, 0x78aa2b76, 0x58c1bc8f, 0x8e6dce6e, 0x91cc86b8,
+    0x4ad7ddaf, 0xef5ed523, 0x2cd3be2f, 0x6039dcd6, 0x7cb76763, 0xa3b4e1b5, 0x9ee0ef3e, 0x2f3ad386,
+    0x15c9eb60, 0x45f12ad5, 0x94928751, 0x24595a74, 0x6f1ab949, 0xab49f80f, 0xc16f4a72, 0x6456e447,
+    0x133498cc, 0x7623f37c, 0x06935a39, 0x47aca6b5, 0x499b059b, 0x437c7841, 0x75c6f502, 0x0130f603,
+    0x6475617b, 0xe9711fa7, 0x52fba6a5, 0x264cc177, 0xd330ed2b, 0x4b17e582, 0x7dc2b61b, 0x4ba48787,
+    0x606d469b, 0x3a13fbe9, 0xcd107a37, 0xe6d37882, 0x7c6872a1, 0x0fce8d1f, 0x762a5614, 0x6840d606,
+    0xbe446b9e, 0xb532b4a3, 0x4c86fcff, 0x6be59340, 0x11001574, 0xb657155b, 0x58a840bc, 0x103aabf0,
+    0xbef6fa42, 0x14e1efec, 0xedc2c0f7, 0xf90d050c, 0x95642f79, 0x2abfc1bc, 0x27a6f24d, 0x864c305c,
+    0x70b44f89, 0x1e534b68, 0xcd8cc260, 0xc22bd383, 0xab82b972, 0x82924112, 0xb722d7ac, 0x534788d8,
+    0x4b9d3042, 0x31cb8b23, 0x03b4e91a, 0x6f5d819d, 0xaa234e42, 0x53216a65, 0xd9a96a83, 0x7a375472,
+    0x15dd8d98, 0xb807b0ee, 0xa910ed6a, 0xcebbc6c4, 0xbcf6f32d, 0x37a2fdbe, 0x87b47edd, 0x17547445,
+    0x5c1e421b, 0x21943ced, 0xdb6dd18f, 0x49e2fdef, 0x2d58731a, 0x212f63c4, 0x58eada6f, 0x0acd3313,
+    0x19a56fe8, 0x2dcaf989, 0x601cc1ea, 0x6c4205ea, 0x4f490f4e, 0xa9ce9693, 0x5afd7fd3, 0xd1c7fab1,
+    0xc0cc3697, 0xbba81c0b, 0x1e221402, 0x5d885a3a, 0xba500bc2, 0x3c177be1, 0x3696c546, 0x1d34f011,
+    0x663da68e, 0x70e3a8af, 0x66bdfeec, 0x5e482e8e, 0x423e35d2, 0x1eb588a0, 0x0ab945b1, 0x4bc2b9f0,
+    0xa13410d2, 0xcceab763, 0x10917034, 0xf6dab97f, 0xfd1041b5, 0xf9acfb65, 0x89add4b0, 0x98c87911,
+    0x1d1b6300, 0xc32df6e1, 0xcbb5e84d, 0x1241b61f, 0x7cd43ec8, 0x002124f6, 0xb89f6403, 0x73214fe6,
+    0x5f15c518, 0xdc08e153, 0x066adf24, 0xd61e6416, 0x1bd26952, 0xbe8dcb72, 0x156f31c8, 0x25e1e5c5,
+    0x1200699f, 0x6dc592e7, 0xd78cddae, 0x30616123, 0xe6cd44c3, 0xa8528c8b, 0x1211c7fd, 0x419456fa,
+    0x47b0a0a3, 0xa08a3762, 0x838104c7, 0x52915db4, 0x78e41cf3, 0xa593b683, 0x73053da7, 0x14286dfe,
+    0x7ac5da55, 0xe6e534c8, 0x57cc02b2, 0x4cd2f240, 0x42fc77f9, 0xc142244e, 0x12dd22d1, 0x93139f88,
+    0x7970e440, 0xa486c0ef, 0x5d117ff1, 0x45321710, 0x85f9cb32, 0xf371799a, 0x985542b1, 0xd36323db,
+    0x6c0452ca, 0xd4d459e4, 0x877898ec, 0x90a73d28, 0x39d1169c, 0x926e8a23, 0x53204776, 0xde34f6a0,
+    0x3de91a9b, 0x4ebc7336, 0xe9238020, 0xf309983a, 0x31eacefc, 0xb03131c9, 0x73d2dd12, 0xc877635d,
+    0x0fc88fad, 0x370d5370, 0x46d298cc, 0x51024d35, 0x71500f2e, 0x2de08279, 0x2aaeb6ac, 0xa863526d,
+    0xb433bf86, 0xfeb147fb, 0x993a59bd, 0x7f1d6c47, 0x5223f4bc, 0x097b508b, 0xa6e68a1d, 0xc5d2dbdc,
+    0xd8da1adc, 0x67fdd4a2, 0x9fa42811, 0x708d3dbe, 0x35f916ff, 0xd2fa47f5, 0xd828b397, 0x8e9e51d6,
+    0x67477ba1, 0x32bf08be, 0xea4c319c, 0xb322683e, 0x83105bb6, 0x8446691b, 0xcb6307a6, 0xf42779c5,
+    0x9ba91686, 0x9d4448d3, 0x71becfeb, 0x1345f0ec, 0x76e6c30d, 0x935e80fc, 0xccaac20f, 0x5fca35fc,
+    0xa27a633f, 0x2df5048c, 0x6f19b78a, 0x685316c4, 0xda9f2085, 0xa3a1bc0f, 0x532be95f, 0x5d916525,
+    0x7083ed42, 0xffb8822c, 0xa14942ab, 0x2d585789, 0x76a91596, 0xcf14d591, 0x1694a326, 0x97e33985,
+    0xe4137603, 0xe1007ac0, 0x6aaa0a05, 0x24d93eeb, 0x53a97166, 0xe6611171, 0x5db11ce8, 0xb2b2a0f9,
+    0x5a26c222, 0xaf21e86e, 0xe195bf52, 0x3877b1ca, 0x2fb05a53, 0x97eebd96, 0x9769e078, 0xa0a13202,
+    0x6ad52ca0, 0xa652d2ae, 0x22f16778, 0xe63c69e1, 0xa93d569a, 0x207c4395, 0xd15fc24b, 0x27dcfcc0,
+    0x39c69188, 0x0d1add9e, 0xa13d16c0, 0x8b27bd6b, 0xa04df0d1, 0xbaa35c3e, 0xb932ba9b, 0x11d15a6e,
+    0xa4db0adb, 0x09f4622f, 0x46744fa6, 0x9b847ed3, 0xbec209fc, 0x5b89b5ea, 0x32faa335, 0x4e7ac4f4,
+    0x68847d67, 0xdb133bb4, 0xde72bfea, 0xeef34289, 0x2f12ee64, 0xb254057e, 0x32cd84d9, 0x615f1aed,
+    0xfc0c730c, 0xdee50a92, 0xe2453531, 0x339f788c, 0x2b87850f, 0xbe1a71ef, 0x5f3edc44, 0x6a19f39b,
+    0xb1b68577, 0xc9a0b95b, 0x5baadeb7, 0xd01c5adf, 0x1fdf5a8e, 0x0d279a67, 0x19f871d3, 0xbeed7af7,
+    0xd23bb390, 0x1e9b6a17, 0x5a11057e, 0x880ae831, 0x688d814d, 0xd18f3863, 0x7098b38e, 0xe4b51099,
+    0x729be3c2, 0xb8d8518c, 0xf57254f2, 0x691fcb77, 0xf1bdf7b7, 0xdc6b6438, 0x3993a93d, 0x68b9edc7,
+    0xeba6610a, 0x34bcdfd3, 0x95a63637, 0x320b1735, 0x8240d147, 0xa32fa1ad, 0x717b3274, 0x149c0b61,
+    0xe0c88c6c, 0x6488c2bc, 0x6678225e, 0x44fa7622, 0xf8ab0e9b, 0x2845d136, 0xc5804d47, 0x7415a6eb,
+    0x541d78f0, 0x81d51abb, 0xc965eb09, 0x6009b940, 0xfdad684e, 0x08382980, 0x1a244762, 0xf2afeb3e,
+    0x9fcc4d3a, 0xa42536ce, 0x56db3bfb, 0x24240c8b, 0x01a74dd3, 0x469da87f, 0xbdf858e0, 0xa81676d1,
+    0x00000000,
+    0x6da81200, 0x65c8ea03, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000039614081257132168796771975168 */
+  { 0x00000000,
+    0x72d74305, 0x8b62ea3c, 0x7a386127, 0x8c7d020d, 0xb9b13430, 0xf12209ff, 0xd3d7b4c4, 0xd6d7b6fb,
+    0x43e69f57, 0x4683f87d, 0xaf466f07, 0x0d0beff1, 0xe25a8ed0, 0x6b325e2a, 0xd5b30825, 0x5d4a5cf2,
+    0x7fd04a79, 0x8a4877a6, 0xdb6bf2fb, 0x48d91e90, 0xc53f8530, 0xc671f954, 0xcc9b467b, 0x4349f7bf,
+    0xa1a13539, 0x2218e28d, 0xb460a132, 0xd6f8530d, 0xb1f3b26c, 0x04e5029a, 0x1639c375, 0xfe214c97,
+    0xea4530b7, 0x9352f484, 0xaabdf153, 0xbad09348, 0xd5900c58, 0x0835d678, 0xdb178a32, 0xe6b0dd0e,
+    0x6872b936, 0xcc70fe35, 0xbf8f89bc, 0x07bf5b8d, 0xead351bc, 0x18e8c9d9, 0x10ea991d, 0x0f9a6263,
+    0x8b35a9cd, 0xd61486cf, 0xf89afda7, 0x8a586508, 0xa741768e, 0xb5ad4ed6, 0xdf2151a5, 0xd0cad330,
+    0x2b7ab3f4, 0x14600560, 0x141fc392, 0x9d59a81c, 0x4f200779, 0xa2f015ef, 0x187603b4, 0x44c67da2,
+    0xdb18f576, 0xca300b22, 0x0b7641da, 0x61da9e13, 0x48c0c5ce, 0xf87f4e8f, 0x2108c548, 0x4cc9dfca,
+    0xce0da587, 0xfbb564bd, 0x3572e981, 0x5c2dfa05, 0x604aac9f, 0x30cf2359, 0xc58e9a2b, 0xaa06d864,
+    0xd1a12e9b, 0xd71df0df, 0xb7840566, 0xd325f974, 0x483f4dac, 0xa560f27f, 0x95476424, 0x8c11eea1,
+    0x8f8d919b, 0x69056b19, 0x3fcadd8a, 0xab3a3099, 0xc221f3ca, 0x261782a0, 0xcbf77c79, 0xc21ec625,
+    0x07bd3f9c, 0xf1ce5aaf, 0x3fd906f9, 0xd9a9f9d0, 0x33482762, 0xcf751db4, 0x17e8986d, 0x2ec83a71,
+    0x5928706e, 0x42a18bb4, 0x3be8985a, 0x4d6cd68d, 0x4d339ccc, 0xb822efa5, 0x32b2ca07, 0xb05c5409,
+    0x6142f1ba, 0x17e56e6a, 0x5c7f1758, 0x0f30a78c, 0xa895fc70, 0x43db5bc4, 0xb7778f58, 0x845e3b7f,
+    0x8695a869, 0x8fb5c69e, 0xf2d623f6, 0x887957bd, 0x97f59bc0, 0x9276c189, 0xc3594357, 0x4c4ab7f7,
+    0x03823277, 0x3e9b1a00, 0xad50ee57, 0x6dd8b656, 0xc0b23d40, 0x7809e58d, 0x4f8b56e3, 0xb6ec02bc,
+    0xd92718cb, 0xf096c2de, 0x874315fd, 0xe219a887, 0x0eb90ac7, 0x860a1235, 0x87b23785, 0x2b50f06d,
+    0x726f12ee, 0x09d7516a, 0xbb1f0e4d, 0xfb5db073, 0x043cf68c, 0x382d317a, 0x412c9c29, 0x1ac4caa0,
+    0xb2250a06, 0xd7817ced, 0x9e464b2b, 0xc1e3f6fe, 0xb37a8eda, 0xd12e04c8, 0x29716879, 0xef84b639,
+    0xdc30abac, 0x73568cba, 0x8e70a3e8, 0x45f83db7, 0x5453e96b, 0xf2445738, 0xdb8fd3d8, 0x69252182,
+    0xd2486c61, 0xf8357cb8, 0xc76a0695, 0x97d0bb81, 0xdb44ef9c, 0x342fb488, 0x5203ee8a, 0x4cd43179,
+    0xae4d6848, 0x2dde2c52, 0xe91b5086, 0x59d434ed, 0xd4ae158e, 0xa526154b, 0xb0ef05bc, 0xe4cbb82d,
+    0xa1b19ee7, 0xa83ff1a4, 0xccf97581, 0xf81c6d1e, 0x8fb82514, 0xea098689, 0x43196605, 0xb7eb3287,
+    0x615a6ed7, 0x0eac0b00, 0xcbf099c0, 0xdb243b4d, 0xc74ddd12, 0x5ff174ed, 0xffc7264d, 0x38a32ad6,
+    0x41b41950, 0x4f1dc37c, 0xd43bff56, 0xba86b496, 0x30f962a6, 0xf7af138a, 0xb882b0de, 0x22a1d855,
+    0x343440e0, 0xe2019b86, 0x13c4e99c, 0x901f2247, 0xa3da7161, 0x7d6569c3, 0x1a1e797f, 0xcf11c253,
+    0xfb7398c6, 0xf837ddd9, 0x00d8401e, 0x00370298, 0xe9e48a40, 0xad01bb44, 0x0e689898, 0x013b7bf3,
+    0x26654c5f, 0x4463e77b, 0xc4c758e5, 0x38e6d28f, 0x196afb6b, 0xf24b778c, 0x3827d50d, 0xaba5fb83,
+    0x584b0492, 0xb29807b5, 0x9eed2cf0, 0x5a3828a2, 0x84ebb2e2, 0x0575e161, 0x42af4ef9, 0x03d115b2,
+    0xbca351e0, 0x56af0148, 0x1f263203, 0xd20fd0f2, 0xda551f40, 0x2cec5bc8, 0x6cb52dfe, 0x8fade012,
+    0x786275d1, 0x5396311e, 0xf9ab1862, 0xa732ab35, 0xbd46af4a, 0x7678e062, 0x93af49c2, 0xf641e60b,
+    0x911d1573, 0x8a12312e, 0x5804ac7b, 0x5f96fe07, 0xf011022e, 0x356ef619, 0x3afdad36, 0xcf953eaa,
+    0x42b10629, 0xf336550d, 0xa027f56d, 0xa504531d, 0x2ccce1d3, 0x3b5d4c43, 0x1ae1bf9f, 0xd99e3bf6,
+    0xeb092bea, 0x737897ba, 0xb3183f2f, 0xea878650, 0x0f81e396, 0x4d6030a8, 0x3561060e, 0x44394150,
+    0x4ec7d161, 0xaf43186f, 0xcff3c534, 0xbff31385, 0xd2dd20c2, 0x2324589a, 0x1aba41ff, 0xd5d65899,
+    0xf2941d85, 0xe279fb31, 0x9837a366, 0xf176a2c4, 0x7f2f44f1, 0x0db4b7cb, 0x1d35ce28, 0x4d696e3f,
+    0x8d1d039c, 0x27b90982, 0xe4d21701, 0x63dc1e67, 0x03815de8, 0x4bd21e37, 0x50060486, 0x90ebbff6,
+    0x0e108451, 0xc653d20e, 0xf37588bf, 0xcefc74fb, 0xc9d56ad6, 0x4301d978, 0x0def2b75, 0x4d5d5161,
+    0x7ad42fcd, 0x58019c6d, 0xe88b0740, 0x4b55f8af, 0x953e5f81, 0x88a62792, 0xf08df7d1, 0x44767302,
+    0x0acdf6ed, 0x3db49e12, 0x42b2d6d4, 0x16d766c0, 0xd9208298, 0x9f599b82, 0x73df490b, 0x101d60d5,
+    0x9a09a569, 0x879b174e, 0x337f18af, 0x843545b6, 0x84914080, 0x105cb05e, 0x692972ed, 0x548842c0,
+    0x94196ba2, 0x85c1f2da, 0x5d29a6a4, 0x5e3230e6, 0x5885cc4d, 0xdf07a3cd, 0xc892e949, 0x8fb3b418,
+    0x464589da, 0x2f8c63ab, 0x0d41fb26, 0xfc3a292d, 0x499ea1a5, 0x304aa8d3, 0xc1152259, 0x1fe0c808,
+    0x06a00ab2, 0xfd841445, 0x1595264d, 0x454a56a6, 0x4a4fba50, 0x1f1d8389, 0x7ed5c7f4, 0xd881032d,
+    0x56677b76, 0x8b58a97e, 0x5868a27c, 0xbf46cb9d, 0xcda6a49f, 0x7d11e2d2, 0xa2581b98, 0x07fbc731,
+    0x1ca8f2d8, 0x32946a32, 0xf21a72b9, 0x181e2c04, 0x872993bb, 0xfc741800, 0x2526916b, 0x0c71e5fc,
+    0xde84cf4a, 0x645e1f49, 0x5598cff5, 0xd02d9fac, 0x28a28af3, 0xaf7b5c7c, 0xbdfaa4bc, 0x67df6e9f,
+    0xdc80d2ad, 0x6cc06831, 0xc49ad9cb, 0x2b92a4d5, 0xe6ea42d4, 0x3a00c054, 0x2a8b056a, 0x3d9504a5,
+    0xb8bac106, 0xa2941f18, 0xbcd2c03c, 0xa6dc63f4, 0xd1193001, 0x24bd60d9, 0xd0e9012b, 0xc3b33a3d,
+    0x5b8ab384, 0x20bc96f2, 0x9b7e6fbe, 0xe4165cd7, 0x5ee01891, 0x6d263ac1, 0xc4ef5f24, 0x54054bdf,
+    0xd531951a, 0x3e22e3e6, 0x880fa701, 0x9258b270, 0xb06ef933, 0x7b231497, 0x8123b2f7, 0xbf89e65f,
+    0x45db0458, 0x2e11269d, 0x10ca4142, 0x4394744a, 0xfd7c1200, 0x47cd0192, 0xc2153605, 0x91a1f73a,
+    0x0a3f6dc6, 0x025208b8, 0x6cf6757e, 0x7525e4ed, 0xd315efc6, 0x5828b36b, 0xcbcb4927, 0xcfd6101d,
+    0xf2a44027, 0x34bd26e4, 0xf80b42ed, 0xa4a3c87f, 0x481bd177, 0x3f59a30d, 0x104fcbcc, 0x3a231a6a,
+    0x5914f447, 0x59dbc5d2, 0x72916750, 0xd564e5a5, 0x643d84c7, 0x399de6c8, 0x8dfe4e31, 0x5cad33f1,
+    0x5e7a6c85, 0x0e9fa43e, 0x7d67e8f3, 0x62acf5f6, 0x6715604d, 0x53942d52, 0x13327c27, 0xffb0f635,
+    0xe2240d7e, 0x979b236b, 0x2505e962, 0x0c8b412b, 0xfe799f40, 0xf08c875d, 0xd68b2791, 0x31cc138f,
+    0x1ec0132f, 0x6f6cbe73, 0x1e10c5d1, 0x2a4d39dd, 0xdae7f8ca, 0xf941d2ab, 0x6b56d945, 0xe7436c8e,
+    0x2ab58ff1, 0x4caeb297, 0x4fc4e26d, 0xa988dc86, 0xc6026703, 0x260340d9, 0xd0a0910a, 0x3a913dec,
+    0x9cbf0ef6, 0xaf456b2a, 0xb2b63349, 0x86d1974c, 0xeb8691f5, 0xe5b58c26, 0x9c875437, 0xf27a8730,
+    0x8e661e8d, 0x96291f7c, 0xb518234b, 0x6d0c9279, 0xeec029ac, 0xe15af993, 0xc75d8cb6, 0xcc2f7e78,
+    0x07290cbf, 0x29d8772f, 0x8c306e45, 0x3964da68, 0xdd086122, 0x9904c8fe, 0x84184ccc, 0x62c50516,
+    0x5f58f236, 0xaa285267, 0xaf09d8c8, 0x178a769e, 0xd877cdc9, 0x4a8ac9e4, 0xf8b04a6a, 0x6bf56682,
+    0x6b110173, 0x3989d668, 0xad4f03f0, 0xf9675984, 0x005b2dd7, 0x62703c7e, 0xb95bf698, 0xfd20d55a,
+    0x230f14fa, 0x278a5e18, 0xe141c82d, 0xec514798, 0xeb6e16e8, 0x670897de, 0xe56dddb2, 0x49fbb3f6,
+    0x6928f703, 0x2dba5028, 0x6bb0a6ff, 0xeac21de5, 0xe8e490df, 0x913191eb, 0x3545147b, 0xa1ada2f7,
+    0xd18d22d8, 0x4646dba8, 0x7bc8d5ff, 0x63b6aa63, 0xbfd07485, 0x349c1f88, 0x0a728152, 0xa821eb57,
+    0xb3913f13, 0x2c474302, 0x24b7cc4e, 0x53e921e4, 0x34421e2a, 0x925aafa9, 0xa411aa3b, 0xee4b0439,
+    0x84854972, 0x4021e6ee, 0xf32d3d0d, 0x943f54e5, 0x62f91a4c, 0xa92f839d, 0xc62165b1, 0x9bc23602,
+    0x04474ab9, 0x35a68823, 0xf6a793fc, 0x6de1f2aa, 0x14ee8ca5, 0xfac3a771, 0xa6002814, 0x728256dc,
+    0x7947fb14, 0x7e7e064e, 0x9bff2881, 0xb0c73fae, 0x4872c862, 0x5289aa35, 0xdf249a1f, 0x54d803ea,
+    0xf88bd6e5, 0x12744dd9, 0xfa3b1c8d, 0x7ec65f0e, 0x48105c53, 0xabcd599c, 0x2a9e0398, 0x0d32ee0d,
+    0x59700c47, 0x6e753365, 0x5cb9d6a8, 0x58b6d08f, 0x92c5e783, 0x59489df7, 0x2a2159bc, 0x973ba12c,
+    0xd37af5c8, 0x12651ddd, 0x604239de, 0x67200e49, 0xd4df3b0a, 0xe84b0c13, 0x88227e23, 0x84361ef0,
+    0x7beb6aa8, 0x8091271b, 0x3da2f3a9, 0x01ec972a, 0x4803b9a4, 0xdfd655e0, 0x37e2a719, 0xf512a82d,
+    0x930ee285, 0x7ad46ec8, 0xda7f8a3f, 0xcaa6e62f, 0x7a0bfd89, 0x2f1a9825, 0x5b43830e, 0x0d29cf70,
+    0x90ec434a, 0x5e9e9545, 0x830b05ab, 0xd0ab4015, 0x933664ad, 0x0e24bfef, 0xd6deb2f5, 0xf62b2400,
+    0xcb61cc3d, 0x41c54218, 0xd3d64720, 0x24331a48, 0x7a86b12c, 0x01c40c0d, 0xe75c57f0, 0x3ca7de42,
+    0x83c3a190, 0xf9c43fba, 0x0296331f, 0x4dc226e5, 0x0f030b57, 0xe8b3eaed, 0xa6fa92c7, 0xbbbbbd8f,
+    0xfe908b4a, 0xab247264, 0x37f997fc, 0x97faa937, 0xa43e287c, 0xf74c4d2b, 0x64708432, 0x3c732b94,
+    0xdd7fbf71, 0xfa94e5fd, 0xe8f716f8, 0x6ae817ab, 0x5c102001, 0x5677bb5c, 0xf9b84368, 0x4977e483,
+    0x336c6c18, 0x8194e370, 0xefcc992c, 0x2d82364b, 0xe9ed35a1, 0xb1bc49f2, 0x5b4169ad, 0x3f2d75de,
+    0x7764de23, 0x9d3e9ac7, 0xc1ec5be9, 0x453f423d, 0x8bd33676, 0x823c35ca, 0x22a2371d, 0x24be2927,
+    0x262f2bad, 0x481ebab2, 0x8648118d, 0x75c8ea66, 0x3dbb6474, 0x94ba68ca, 0x5c6b6296, 0x8c76f43a,
+    0x54bcf2b7, 0x5b73e255, 0xcaf0021e, 0x9120ef88, 0xa9d84800, 0xff0e7d93, 0x4a8d5338, 0xeacd0767,
+    0xedf4a769, 0xecd7cfa4, 0x23bf62b8, 0xb5383e79, 0x48fb4153, 0x6ae64908, 0x2c507e4a, 0x2768d964,
+    0xaa7e40dc, 0x514c6e98, 0x6ea4e042, 0x7fc775bd, 0xc5e9e5a4, 0xd4390c01, 0x4d0ac5e2, 0xc295f22e,
+    0x5f7f4e14, 0x87ef1d20, 0x15ed8644, 0xe268d3e0, 0xd12cc57f, 0xb7af286e, 0xe853d486, 0xb4a30f36,
+    0x33a95648, 0x510954b9, 0x7c70b906, 0xbf85711c, 0x36af8c85, 0x2a08a694, 0xfb08d841, 0x067d6efa,
+    0x4c50459f, 0xf2466d16, 0x98b3e657, 0x684f8147, 0x39c2f1da, 0x57095635, 0xf3bace12, 0xbd6cff18,
+    0xce35d949, 0xcff04d2e, 0xe352f603, 0xae95d941, 0x6316a13c, 0xfe1a40cb, 0xf8202817, 0x75a370ea,
+    0xc46255c8, 0x979b0b99, 0xa0a9b378, 0x3059a3eb, 0xc3888b8f, 0xc7844ee6, 0x40c8ff28, 0xac46d212,
+    0x9cbdedcc, 0xdc5fc41d, 0x9d36a6c6, 0x0d5d7a42, 0x10892c9f, 0x4817d913, 0xf8fc0354, 0xb7604407,
+    0x4b34ff82, 0x5acd01cb, 0x819dfbb1, 0xaff3981f, 0x1c925441, 0x5f922aba, 0xe2e7b99b, 0x0cf70c33,
+    0xad97ae90, 0xaf2cb0ed, 0x5fcea39c, 0xeb0af778, 0x4a8cae9a, 0x8db81c8b, 0xcea8f02b, 0x5f48270b,
+    0x24c941aa, 0x1466b63d, 0x64687f7f, 0x4373cd39, 0xe978c2ae, 0x98b12229, 0x1a1f8fc9, 0x10e83ff4,
+    0x212f8792, 0xd755a21a, 0xc015aaf9, 0xe8a13911, 0x0ce07933, 0x210006fd, 0x83195fe4, 0xb075ab85,
+    0xfa7ff38b, 0xd0f81004, 0xf0da5867, 0x984080e7, 0xed169340, 0xb4391a1e, 0x7666882f, 0x997e7751,
+    0xdeb119fb, 0x6bc52fb4, 0xf0b29d56, 0x62fb0f8d, 0x3dfb6ef8, 0x39f99e3e, 0x941222db, 0x83c33237,
+    0xbbe983f8, 0xef20f5ac, 0x4560a4fc, 0x832f22cd, 0x1d705745, 0xa2019fd2, 0x10d5cc22, 0xdb3b2377,
+    0x87a9284b, 0x9a53ba3a, 0xbf249fad, 0x3742dfc9, 0x9d551d16, 0xf552c577, 0xc4e7a7d7, 0x796f0fa9,
+    0xa30d816f, 0x5f52f9b5, 0xb1ea5343, 0x6e350738, 0x47170b89, 0x8a3a9181, 0x454d35a3, 0x1a90f2a8,
+    0x5f1c0c4d, 0xf865f4f0, 0x2343b05a, 0x9bd60537, 0xee705a8a, 0x1a6c8b78, 0xa1c36284, 0x51e89193,
+    0x6d646e6e, 0x38eb6638, 0x53a4cfb4, 0x1eb65272, 0x7efed48b, 0xc5be8491, 0x8f75d432, 0xb725c9f0,
+    0x488b7799, 0xfe0b4675, 0xac4eb079, 0x22312349, 0x08e5003e, 0xb37a9870, 0x21322a2b, 0x3d363200,
+    0xcae0c516, 0x62042872, 0xa57c3755, 0x90677110, 0x30952304, 0xad326c3e, 0x77e4ac85, 0xad616c80,
+    0x2ff9097a, 0xcb1ee3f7, 0x280a31ad, 0xfd1045e6, 0xe6d16a43, 0x1c47d4fd, 0xce2880d2, 0xfda53967,
+    0xb0238d3f, 0x8f87c804, 0x913d113d, 0x1a55f5fc, 0x6a87313e, 0xa224a16a, 0xf204e361, 0x632f98eb,
+    0xfaead20d, 0x62159ba1, 0xd0c35740, 0x40342340, 0x0943afb7, 0x57145369, 0x9e779164, 0x0d1309d3,
+    0xcaaa3552, 0x463231bd, 0x3cfc102d, 0x2e0a1eb2, 0x6be42177, 0x73d07b53, 0x365a1c54, 0x27d6a684,
+    0xa3e4b5a9, 0x5d936199, 0x57200dfb, 0xc5dafcf1, 0xefee7d9f, 0xb6b2ba2b, 0xe84ed47b, 0x4331d33b,
+    0x9a3b69d5, 0xb802bc70, 0x5b10339f, 0x85460e56, 0xd6a706f0, 0xb4a1fc51, 0x4736e094, 0xfbd3af8d,
+    0xfd21ce6f, 0x1b3dd407, 0xe08d23ee, 0x3b479258, 0x11788445, 0x17fdf55e, 0x299a87cb, 0xf4fa3aab,
+    0x674eb9da, 0x4e020ed5, 0xd320c7e8, 0x55105d30, 0x7ded0470, 0xe54a290d, 0x3857b9ac, 0xed0a6cbe,
+    0x14c37da5, 0x094788ae, 0xf95c1814, 0x90c94db7, 0x996a7743, 0xaa6c5bf0, 0x2c2a1102, 0xcbc75e52,
+    0x8b656323, 0xa2dca5cb, 0x9cee428b, 0x7624b671, 0x3946cd31, 0x93646a99, 0xf7a99ddb, 0x7808a0bb,
+    0xc0b5a767, 0xf9281a4b, 0x58dc1c6f, 0x3904e664, 0xe95d36aa, 0xde796e60, 0xf5ba82bf, 0xdce286c3,
+    0x10b1164d, 0x1d860637, 0x6a113d81, 0xf0fc3009, 0xb429e9b6, 0x25d0b06e, 0xea1cb507, 0x60e6e7fa,
+    0x5126bc3e, 0x3d6f5776, 0xe25fc75b, 0x4a11aec5, 0x29ad16d6, 0x3ada9c39, 0x7bbcd51f, 0x02cab3ff,
+    0x7dccb916, 0x8a515fe4, 0x2bd9a0c6, 0xa0e04719, 0x35740802, 0x01b27208, 0x04071dd5, 0xe25077ed,
+    0x3b42023d, 0x0515a6e8, 0x97debfe9, 0x88bd3d38, 0x0efdfc86, 0x9e9d6383, 0x9ea0a1a0, 0x9b8a39ee,
+    0xfe9cd77e, 0x734ce137, 0x7e2b2d4a, 0x0bb44d0c, 0x7a71b962, 0xf5043313, 0xd295c9ba, 0x6bb85449,
+    0xeeb70b33, 0x0c6c8663, 0x07025bc6, 0x1711c9c6, 0xb6f52d6e, 0xd5097117, 0x1053921a, 0x168e2305,
+    0x9167e6cb, 0x40e40617, 0xe9b72edb, 0x3f518eee, 0x60c9261b, 0xaf3114f4, 0xc7f4140d, 0xfdee4e90,
+    0x42a3664d, 0x794b8cd2, 0x11b87ed7, 0x268d8b8c, 0x09a63ec2, 0xace6a5e5, 0x2563946d, 0xcf701756,
+    0x00000000,
+    0xb6d408ff, 0x32e47501, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000019807040628566084398385987584 */
+  { 0x00000000,
+    0xec5ac705, 0x872964d6, 0x8fea6d4c, 0xeb41139a, 0x90b09090, 0x426dc0a1, 0x94d54efc, 0x35f906c9,
+    0x9ee88c43, 0x2d6fe323, 0x3890ba29, 0xff110490, 0xf91fbe65, 0x681a2583, 0x208eb6f7, 0x7fcc2fdb,
+    0x450e4022, 0x07cf6c6c, 0x4871e50a, 0x9685b631, 0xc2564fc2, 0xe884d716, 0x9034045c, 0xbb67d187,
+    0x41a76a3a, 0xe9e0ca92, 0x500a4791, 0x696c7bc6, 0xfe4c9e87, 0x0f5b459b, 0x8cdec663, 0x4c8a6bef,
+    0xd4e2b5b0, 0xd58e0491, 0x418d38cb, 0xf3f02739, 0xdc5b5bd9, 0x9ee44850, 0x4836dd6c, 0xb1d866f3,
+    0xfb49859d, 0xd7263510, 0x9a2fd8c0, 0xeef3eeb3, 0xb64a45f6, 0x54dfef70, 0xea1a99c0, 0x87f38ad6,
+    0x8c15b0b8, 0xe7f2b9e2, 0x4287471e, 0x2d93248f, 0x66ae4619, 0x252d2574, 0x75c8c10e, 0xcac20fc2,
+    0x6701a9a6, 0x21ae3f80, 0x0c1a83ec, 0xb3ab4b7e, 0xf52bac54, 0x8a5fafea, 0x9e9578b1, 0x99c5139a,
+    0x1fb43ba8, 0xc3038648, 0x699edf91, 0xba1f4820, 0xd7239b16, 0x19f13db2, 0x33711b27, 0x0466bdb2,
+    0xfa41279d, 0xe1eb4a35, 0xf7ff17c4, 0x4fedaedf, 0x291196fc, 0xc6197860, 0xdc9161ac, 0xa977b61e,
+    0x29c5ba98, 0x8405f5b4, 0x57b48641, 0x4df3801a, 0x5e9a5961, 0x4ca505d1, 0xcea87a10, 0x544d7ebe,
+    0x6fd3b240, 0x22727aec, 0x0a6fce88, 0x11cb8b1d, 0xf38da1e7, 0x43cd092b, 0x0da9612f, 0x399b02f6,
+    0x50ca64a8, 0x2208004c, 0x76673b6b, 0xc270d2c7, 0x2bde27fb, 0x9763d35f, 0x9dbeca60, 0xa1a23710,
+    0xc5ab58b4, 0xfe71534a, 0x944f2369, 0x6c0f5819, 0x66b7de63, 0xfa87ead7, 0xd9ab1462, 0xdf15024f,
+    0x7640ae7a, 0xda168805, 0x46269503, 0x5b556a79, 0x41340e58, 0xc06a9bf6, 0x7a7f6e7d, 0x25d5d54e,
+    0x3d6d5a1a, 0x89499f48, 0xb433cc5e, 0x5980420a, 0xe3c3e4d2, 0x56758549, 0x668eb13c, 0x3956c31b,
+    0xa060d1a4, 0xbae5a1cf, 0x2651854e, 0xcf261074, 0xa5294ac8, 0x26b5a2a8, 0x17784913, 0x2934c162,
+    0x4c56e178, 0xfc4929a3, 0xe09488b9, 0x9002ee39, 0xfa985c0c, 0x8298a5fe, 0xa0f8a48b, 0x2f1dbbbc,
+    0x4c41aedd, 0x9efb3414, 0xc8a8fa95, 0xedbcdc48, 0x91c6f5e4, 0x47585c9c, 0xf0ab82e6, 0x3ae0e639,
+    0xcc4cc2c4, 0x160e378c, 0xf02f4037, 0x9d3d2246, 0xb1d2afa0, 0xfa49d3cd, 0xf1eb99fb, 0x9b386564,
+    0x4321e901, 0x9107c35d, 0x499f7ac9, 0x2f30f4e8, 0x5a3bfa08, 0xfb636efb, 0xa2ec4660, 0x4a2166dd,
+    0x307c4d51, 0xbbf70b58, 0x5f9996d4, 0xc45442f0, 0xf3a7d7bd, 0xcd5b5488, 0x79381622, 0x56f85631,
+    0x240d69a0, 0x3c75165b, 0xf17c413e, 0xf8948c3a, 0x2b7c9d22, 0x74d9aa77, 0x35999bfd, 0xaa331bae,
+    0x74b9dfbc, 0xed227613, 0xf737f610, 0x16138952, 0x4cdf36a0, 0x48a8c21a, 0x329f46dc, 0xf6ed54af,
+    0x7df871b0, 0x0f1b1977, 0x3e80c061, 0x67e06c2c, 0x7a6e8080, 0x62c76e44, 0x2a1a0235, 0x7cf8da3d,
+    0x401ad1ea, 0x3e11920e, 0x6f84c4a0, 0x941079a1, 0xab84dad6, 0xd3a54375, 0xa48d6943, 0xb90c269e,
+    0x5acea929, 0xb0c82a3c, 0xd7d7a733, 0x42c03ab6, 0x7d86fe5a, 0x10f1ec4c, 0x7e5712b8, 0xbfdd2a27,
+    0x3b4b58ef, 0x2147438d, 0xdc70a1ab, 0xfe09f0bc, 0xde01cd73, 0xad38fc91, 0xc06e9253, 0xe57a0185,
+    0x9a5f3c30, 0x42c35559, 0x45620d7a, 0x86fea66b, 0xd284e3d5, 0x6b3590eb, 0x48f9c36d, 0x9dc5414c,
+    0x19f12308, 0xb8873d5f, 0x9480987a, 0xdb6c5c47, 0x4f1a56fb, 0x539aedf7, 0xd2d82721, 0xbd3d4520,
+    0x6b2d7c65, 0xc34bdab0, 0xf7e60270, 0xa6ab94ec, 0x46351446, 0x744a515b, 0xb99f3a92, 0xd142a00c,
+    0x583705a7, 0xc689d349, 0x7b15bb28, 0x0cb74a33, 0x37480c7c, 0x958edc11, 0x9465709b, 0x8658c156,
+    0x249e7b2b, 0x9ae8465e, 0xfba7772a, 0x9a96639e, 0x43060164, 0x378119b5, 0x8621f5fc, 0x85a4c9d6,
+    0x809f2b47, 0xa4a5348f, 0xd99583dc, 0x16e0fbda, 0xe94b4429, 0x7d4a81b9, 0x85478713, 0x20cff6cb,
+    0x42dede5c, 0x4f1518e5, 0xc917cb72, 0xf0b42509, 0x5116e824, 0xe123d811, 0x5ab628d3, 0x98a35f70,
+    0x25cc3f19, 0x6ffec685, 0xb91635dd, 0xdd475449, 0x8c447c85, 0x7516ad1e, 0xeeb04fba, 0xb4db62d4,
+    0x569ee83c, 0xafdb97ad, 0x0fed2b4b, 0xf97a0144, 0x6cbc1da1, 0x4c0eab32, 0xffe50bfb, 0xfa72e150,
+    0x99717518, 0x1239802d, 0xc4f6d169, 0xdb83acc0, 0x51048f88, 0xf4dc14db, 0xc4c5822e, 0xea8f0098,
+    0xa33835f8, 0xd9970333, 0xa84e83f9, 0xa928552f, 0xab4b23df, 0x95931b7d, 0x51746f5d, 0xc3eeb57e,
+    0xdd8993ae, 0x44e98832, 0x1fb356c5, 0x31a9cadc, 0x5dae17d2, 0x587152d6, 0xa41a5ad9, 0xb7c307de,
+    0x1278403a, 0xe5917273, 0x2ab724bf, 0x1287d3a9, 0x95cca948, 0x77019642, 0x5b7aa25a, 0x5b56eee3,
+    0x9650d3ac, 0xbfaa65b9, 0xf8ec7315, 0xc36152aa, 0x33a5ed12, 0xff6b9200, 0xb739dac5, 0x6b657e8b,
+    0xe67a933e, 0x3947a3b2, 0x546c1b82, 0xb7610c14, 0x5c4a2b89, 0x804f082f, 0x69100029, 0xa3aa0114,
+    0x6e769fcd, 0x618a24da, 0xaffe91e3, 0x2ff89808, 0xcaccd706, 0x82829e6f, 0xa56a14b0, 0xe688595a,
+    0xf14848e3, 0x00152176, 0x6fce7df3, 0x66823954, 0xb9f34054, 0x7ddba5a2, 0x81324d70, 0xa85c9072,
+    0x2f3fb970, 0x38c34199, 0xb0d4805b, 0xbd5d20d7, 0x9d09bb61, 0x0217b649, 0xe0a104bd, 0x247f4398,
+    0x62c7c43f, 0x2607b60e, 0x5675b6e3, 0x89c71b21, 0xaf2174e6, 0xa051d89b, 0xcfda8306, 0x270e2692,
+    0xdef4d506, 0xbe22ac88, 0x6cd0fd81, 0xb4dc856b, 0xa3166861, 0xf3ca9c1d, 0x8d187922, 0xbf8485c5,
+    0x660c93d5, 0x8f4aaac9, 0xe72c8ce2, 0xea3d9919, 0xe9a83937, 0x8d6e0ebb, 0x5bb6ffe5, 0xd3e296bd,
+    0x9b7b5ea7, 0xfe875fab, 0x65575bb6, 0x72fc63e0, 0x4b262770, 0x2c0c2a3b, 0xf62d15cf, 0x8972c276,
+    0x7a4b8fa4, 0x754db715, 0x1daedc31, 0x36bc68ed, 0x244c20bd, 0x1958c85b, 0x86dfa5d7, 0xf6d7d556,
+    0x146bb13e, 0x510f9ae8, 0x72397b8a, 0x46d01c8f, 0xbc22dba3, 0x3a19b562, 0x294a65db, 0x06284c51,
+    0x60e167f6, 0x37a741e9, 0xc4a83532, 0xfcbd9ca9, 0xbdc1530a, 0xc1376af8, 0x481b64b8, 0xcca7f518,
+    0xc898eb66, 0x272afd7d, 0x991ff7f4, 0xd8e47760, 0x69eef7e0, 0xba22e472, 0x08357e40, 0x6f0f059e,
+    0x04550f00, 0x28fd2657, 0xe252ba23, 0xbc456b17, 0xf11eb689, 0xab8333e6, 0xa71ca324, 0x810169b3,
+    0xf558fc20, 0xcc20b3c9, 0xf160d205, 0xd0218a45, 0x7272c081, 0x4330ee4b, 0x85ad8a2a, 0xab7e91af,
+    0x833fb453, 0x7b92ad86, 0x57823e7a, 0xe58c11a8, 0xd16c6a4c, 0x6fccdbf5, 0x9d0e707d, 0xca1a2a72,
+    0x48d79b32, 0x969194fe, 0x3db34be6, 0x95af78f8, 0xa733762c, 0x61f4a855, 0x5136999b, 0xb41be469,
+    0x640dcbdc, 0x1d6eb91d, 0x1946233e, 0x8012c4b6, 0xc6cd3833, 0x5c4c0aeb, 0x408c0a66, 0x5969cc4e,
+    0x45fe26e0, 0x80ddb4c4, 0x3bf6991c, 0x192044be, 0x0d58a5cf, 0xbcfbc8c3, 0xf9d5710c, 0xbdbc9859,
+    0x28dd5e99, 0xbe1e1753, 0xc7d0671c, 0x699280e6, 0x9c6c3b09, 0x0199fbb9, 0x4b8f9398, 0x3f645b47,
+    0xd1f9f8a1, 0xa4834d38, 0xc481e874, 0x5e77a3b7, 0x0aeead89, 0x5d7cc288, 0x845a2b2d, 0x547e66ec,
+    0x5daed00f, 0xff44649c, 0xa6bc6116, 0x54265d1d, 0xa2e2149e, 0xd9affde4, 0x111b9d4a, 0x1ea6ce6c,
+    0xe82ec5ae, 0xdd2db3ae, 0x406ee730, 0x1f3cc8dc, 0x7d25665f, 0x1716268d, 0x1ef81a8c, 0x8b754b3c,
+    0x35bd0b4f, 0x2acd319b, 0x3908161c, 0xe71e98d1, 0x0ef7784c, 0x62d170e5, 0x49f18733, 0xd3747217,
+    0x3a775fde, 0x1b3b95f6, 0xcb373516, 0xb00cf072, 0x4f228844, 0x5f058c84, 0x2838eeb2, 0x18ce962e,
+    0xca598e74, 0x0847b286, 0x941bcd51, 0xe7243ccc, 0x76afe2ce, 0x17776162, 0x7bcf1120, 0x279a13a0,
+    0x3d14bd0e, 0x31a5f46f, 0x594b28f3, 0x65a8bf44, 0x24bf40a4, 0x51b09626, 0x62a74ecb, 0x0e72f79e,
+    0xf96d504d, 0x0a0f2b8c, 0x41c6125b, 0x066e3d71, 0x58998fcd, 0x3ac15a17, 0x6b6a85eb, 0x7bb84709,
+    0x29d69205, 0x08237dfa, 0x2a4a8193, 0xa19a4d6b, 0x2ec9dac2, 0x8c93e4e1, 0x3c80e8dc, 0x235a2b19,
+    0xf55c6b53, 0x35aed476, 0x41d8ef40, 0x9168e296, 0x3731dacb, 0xe14d815b, 0x6ad45f2d, 0xf59e549e,
+    0xc3b040fe, 0xfcf9f3fa, 0xb02b9428, 0xe82f13ec, 0x302dd96f, 0x25291177, 0x25dd9baf, 0x6e1daad3,
+    0x8ec3e114, 0xbf122983, 0x72032b01, 0x795377b1, 0x063666b8, 0x432d4b87, 0xc713a423, 0xb56cbb89,
+    0x7695940e, 0xfec62509, 0xa56444f8, 0x5bbd9322, 0x8b76962a, 0x900c2b24, 0xc2f52ecf, 0xba35d692,
+    0x1833837e, 0x965f0163, 0xe3ee7e6b, 0xc6a6264d, 0xafbd8650, 0x290f97b1, 0xa83da8a8, 0x0a0f7a39,
+    0xcc0ddb85, 0x91d55cae, 0x3cdb7845, 0x009fa968, 0x294ed8bf, 0xd21b78e5, 0xe896b6da, 0x8f6ae5d2,
+    0x4992f99d, 0x83c803a5, 0x72d725a4, 0xb41b4dcc, 0xab4ff353, 0xe124afd0, 0xdf70c59a, 0xb398281c,
+    0xcc006ad0, 0x3ca252c3, 0x85f1e5e9, 0xf594850d, 0x6ecfc994, 0x6e5f771a, 0x8e6ee864, 0x09d9f1dc,
+    0xe08ce136, 0x2b25687b, 0xd65e05f0, 0x527fe347, 0xb757ce61, 0xc47bd8d5, 0xb4b1631a, 0x84aedd64,
+    0x6f49194b, 0x9377f8f6, 0xc2b20ad9, 0xa681aede, 0xa0690a19, 0x61d07a2c, 0x14bf88d2, 0x60c17c0e,
+    0x9482a39d, 0x35d063d7, 0x22d73855, 0xbd4dbf33, 0xc4464a35, 0x89fc8f91, 0x89f88e18, 0x729efef9,
+    0xc0dfc29f, 0x1cce61dd, 0xed158012, 0xc4f76fbc, 0xfb98e4ef, 0x955a56e3, 0x41d03761, 0x58ba9ba6,
+    0xe83c0888, 0x09a3d36a, 0xecc78098, 0xce59a14d, 0x1ed34b5c, 0x9337040c, 0x1d077595, 0x86eded06,
+    0x4a5c5761, 0xe95dbb48, 0x708f218c, 0x4bf6801c, 0x41e9c98e, 0x7b244548, 0xb8983271, 0x2c4ce399,
+    0xe1b70bef, 0xf73e06e3, 0x86a48af8, 0xf017af26, 0xdd0e41cf, 0x749f2986, 0xfc2bee62, 0xba8e5e0c,
+    0x27423436, 0xfa51eba2, 0xc1a59712, 0x737a91ff, 0x9e28d615, 0xa5d10e57, 0x728bc151, 0xf20e67e1,
+    0x11c47a78, 0x36dd11d1, 0xcd01c704, 0x91bc7a32, 0x1fe69453, 0x2ccfe5c1, 0xef8c2c6a, 0xff6ad180,
+    0xa2a52068, 0xf97e308c, 0xf3c0ba83, 0x716267d0, 0xe100d79f, 0xc9e53504, 0xf696c54c, 0x3fc47076,
+    0x57dda992, 0x0c90ef39, 0xbf9d6645, 0x2975beb1, 0x61f7bfbf, 0xa71087d5, 0xece2be4d, 0x558403ae,
+    0x7afd56cf, 0x42a9c253, 0x677a3f14, 0xe45eaecd, 0x425f3ac0, 0x6cd1b3b7, 0x88b02969, 0x352c52e9,
+    0xcaa03d1a, 0x5ae39bae, 0xed392d99, 0x06632d94, 0x0871ae10, 0xd26e4b06, 0x235ced7b, 0x3749ecd7,
+    0xea361359, 0xe3d08350, 0x734489ed, 0x77d4d487, 0x94321a19, 0xb55cdfed, 0x2b7cde24, 0x18890e6b,
+    0x5c31d855, 0x5daa9160, 0x91ccef54, 0x63c26d4b, 0x26f1c604, 0xc5be93ec, 0x6b9dee11, 0xfed925c6,
+    0x41c88ddc, 0xcd7a70f4, 0xb8401533, 0xaefd5ec3, 0x404c053b, 0x430eb6df, 0x7d057bbf, 0x31d48bed,
+    0x55da6c3c, 0x569772ea, 0x07eddde8, 0x17d03890, 0x92833ade, 0x1abeddaf, 0xc4d3119f, 0x580a3c1d,
+    0xa1c1462e, 0x6747b0f0, 0x1919fa8e, 0x80fa407c, 0xaa346403, 0x83e99db3, 0xfdf8499c, 0x33061d79,
+    0x398a8791, 0x21e49cd7, 0x56eab656, 0x0cbf61c5, 0xe4e89602, 0x2449bb2c, 0x6739d006, 0x2322ee81,
+    0xa72b7677, 0x7a2d1163, 0xfadeb040, 0x08c774a2, 0x85d9e382, 0x8c5789bd, 0xf891aeac, 0xa936a9ca,
+    0x47780481, 0x202b80ed, 0xc9b6c8d6, 0xa7bd8a5f, 0x60bc184c, 0x51f8b071, 0x99f70f74, 0x1ab73b52,
+    0x58190d47, 0x89e77ee5, 0x022cc6e6, 0xf7b50a32, 0x8d437a14, 0x4e62257f, 0xa1e0806f, 0xfc5a04b1,
+    0xf474c377, 0xa14c22bd, 0xcd526cc1, 0x3860a91e, 0x3705d656, 0x114f3e24, 0x06ad578e, 0x7aa1599b,
+    0xa09f50f2, 0x2dd8fd4e, 0x06339f30, 0x86864c88, 0xba335fa9, 0xb5882c33, 0x28a92c5d, 0x156189f5,
+    0x1b22221d, 0xc4663dff, 0x7d68a30f, 0x022d6579, 0xfa48655d, 0xd49198ac, 0xd09ff2a4, 0xaadc116f,
+    0xee4f3be7, 0x567667ab, 0x785e44e0, 0x6ac26b5e, 0x5982c380, 0x99c65c55, 0xb2e50f14, 0x3fc35b18,
+    0xdbf3e7a3, 0x91dc3365, 0x395d51e8, 0x674b81fb, 0xcea86015, 0xe7e333a1, 0xbe4c6bdb, 0xb526e002,
+    0x7a36a3cd, 0x866a464c, 0x888d2c3b, 0x2a5bf743, 0xd6656c77, 0x1e6814b8, 0x8c9159e4, 0xec12ca47,
+    0x5e899fd5, 0x45668f33, 0xa7586aec, 0xe950fe4a, 0xa4681e95, 0x51063852, 0x1e93464e, 0x918c70a2,
+    0xd3845324, 0x8635fa57, 0x04139da5, 0x5144858a, 0xd90af5a8, 0x034fbb6e, 0x5677f813, 0x5f06ddb5,
+    0x4adc4ae6, 0x28301622, 0xe6aebcd9, 0x40f9d005, 0xccc73b08, 0x7a9ee699, 0x0ffb4302, 0xc3bdba9e,
+    0xf5746ea3, 0x9ae0556d, 0xb5949ce8, 0x6acc8fee, 0x52ea2362, 0x74d684dc, 0xebe45161, 0xa42f46d4,
+    0x7aa3107c, 0x7df67cfa, 0x2089f04e, 0x381a91bf, 0xb0a640c2, 0xc9970296, 0x8db09f3d, 0x0a835693,
+    0xa801b235, 0xab1c5be4, 0x1bcb23a8, 0x5c66bedf, 0xb9e1d756, 0x2458e74d, 0xc6b5149e, 0xa30c5039,
+    0x59eab9e2, 0x860ae0cf, 0x7e9d7bac, 0xa700d5b1, 0x66bf0459, 0x20808ffb, 0x1b7c3e5d, 0xc2bfc290,
+    0xd216dc56, 0xa71074db, 0xd5aacb8c, 0x59e81237, 0x49bfee5b, 0x2c94e66c, 0x1631eccd, 0xda46119b,
+    0x5f3df33b, 0xb1c123bd, 0xa012e3d3, 0xe5b4b633, 0x2691c5c3, 0x220d56d0, 0x38baee5a, 0x2ad08710,
+    0x497f19b9, 0x18ed6b9e, 0x27363bee, 0xac663ff7, 0xf4b3e80e, 0xa909692d, 0x2d362c07, 0xe028d583,
+    0x3eaff56b, 0x726f1a9b, 0xef3fd185, 0xfbc476f8, 0xd7323dad, 0x7afd26fb, 0x824f5e64, 0xce4fb33d,
+    0x7eddd7e5, 0xf32770f7, 0x6b8f4aaf, 0x480403f0, 0x80059a38, 0x33df7d12, 0x06bf138c, 0xfca91b7c,
+    0x8c16ec49, 0x31b45bb7, 0x858d54fc, 0xfdc5d5a4, 0x8016e9ea, 0xd6f21946, 0x2f94b740, 0x37606c22,
+    0xd1912e3f, 0xfb21e951, 0x0ca4355a, 0x8a9bac86, 0x9b608f95, 0xc537ac88, 0xed3dcbd9, 0xe5e15047,
+    0x56fd4399, 0xcba2cf53, 0x1e04efde, 0x7e4c758a, 0xf092accf, 0x2c1700ca, 0xc6987ed1, 0x7603b95b,
+    0x2d90a54c, 0x2a081f03, 0x066f5230, 0x866c3a0b, 0x94bcc166, 0xc1dcc1e2, 0xd1a0aafb, 0x147581cb,
+    0x61f90aea, 0x6cea25a7, 0x65e92496, 0x961ba7e9, 0x40aa9abe, 0x8a3bd0d8, 0x56181b80, 0x70fd5833,
+    0x6f09b16d, 0xaa1fac00, 0xa9e5ea16, 0x7c2a1e4a, 0x5827d7f7, 0xe29796c0, 0x73928ce2, 0x4703a703,
+    0xc1abd660, 0x04aa10f6, 0xb3f4f429, 0x4b676f0d, 0xeba9650b, 0x28342792, 0xc7ef452e, 0x321c0888,
+    0x88a87f81, 0xf2e42321, 0xf9ba78ff, 0x108d840e, 0x13cbbff5, 0xa31ffa77, 0xf0070504, 0xa2f2af18,
+    0x00000000,
+    0xdb6a047f, 0x19723a80, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000009903520314283042199192993792 */
+  { 0x00000000,
+    0x85397485, 0x150fa7ac, 0x1d2295d0, 0x63dae041, 0x234c770f, 0xcfac9ef2, 0xbad80f86, 0x81e53cf0,
+    0x52011b2a, 0x5da55335, 0x93408192, 0x9809e9b5, 0x5d5ad25b, 0xbb13fd59, 0x573d94cb, 0xdf4cee20,
+    0x4097fa1a, 0x9e5f8847, 0x2e8eed06, 0x944c74aa, 0x00668fc5, 0xa814b732, 0x0ae6ab5b, 0xfbe3173a,
+    0x748c84bb, 0xea48abdf, 0xf8428c0f, 0xdb3eb208, 0x5ccddb17, 0x8dd552d7, 0xa77745ea, 0xe585e83c,
+    0x6aee5725, 0x14b590e7, 0xa6fdc518, 0x1435a47e, 0xb8306b1b, 0x153f7bd0, 0x63abafc0, 0xa6652fb6,
+    0x4ed71f50, 0x7e89547c, 0x5ccae245, 0x35a88779, 0xbdccd6e5, 0x3f4285ad, 0x0c5d3839, 0x106c8e86,
+    0x3f76a9fe, 0x6b216fdb, 0xf19461b9, 0x8cecefb8, 0xbc4dc410, 0xc197b53c, 0x6cb920e1, 0x0873f1f1,
+    0x22211c67, 0xfa9faab8, 0x892155d3, 0x49ebf4d7, 0x7feb2a03, 0x8728563b, 0xb8ffc8d2, 0x86b4cccc,
+    0x77f94b04, 0x2bc52e4c, 0x20dbd2b6, 0x21185f43, 0x77975eed, 0x5af8ccfc, 0x2ba807b1, 0x834afb0a,
+    0x2dc72436, 0xb56f2a2c, 0x3f9d9591, 0x37fcc175, 0x8b219d48, 0x0acc0b29, 0x6097cb32, 0xb5a0a65f,
+    0x2e4135b4, 0xa8b9d04a, 0x681af818, 0xd618a1da, 0x837e9a20, 0xa2e527f9, 0xf5570857, 0xc3701b24,
+    0x1c2a54f4, 0x70924c7e, 0x02edbab5, 0x3718b2e8, 0x96da47df, 0xaaed0555, 0x0b982ad3, 0xfd20b12b,
+    0x790b099b, 0xdd43637c, 0x5662c417, 0x4bb8c3a0, 0x1acb68dd, 0x95bdbd55, 0xf619ca86, 0x2aa585ae,
+    0x9903530a, 0x645238e2, 0xcf9ba2bd, 0xc4793130, 0x1b47d1d2, 0x8eb91075, 0x6d96ef4b, 0x0d4e8957,
+    0xbbed03bd, 0xaee65bb9, 0xf453309d, 0xc108e1f7, 0x7a1c52cd, 0xdb57faf4, 0x6572e6f8, 0xa8984969,
+    0x3862ebf9, 0x1a2f750d, 0x725d20be, 0x99117cdb, 0xe60c898b, 0xb9066edf, 0x229c7873, 0x0cc0ccd7,
+    0x3ab7390c, 0xdc14b24b, 0x9b816589, 0x1cc58f24, 0x4f32542c, 0x8c111c7c, 0xba11cd68, 0x36173c4a,
+    0x227f1dbf, 0x906230b3, 0x1a80cfda, 0x91ac04de, 0x5f8173f8, 0xde3d90a8, 0x87b46146, 0xe4bf9060,
+    0x0f0fbb7a, 0xf20efa23, 0xe064075d, 0x0b18e017, 0xff72a457, 0x9ba235b1, 0xbdb9c7bf, 0x29102cf2,
+    0x6b8e96f0, 0xc214d744, 0xd590ef35, 0x49404caa, 0xbb1ca020, 0x57634c18, 0xea99ce77, 0x9e53ae5e,
+    0x84022b39, 0xa2c59b3e, 0x610a721d, 0xac77ced8, 0x552e165f, 0x3f6bbd84, 0x629cfd4e, 0x56880592,
+    0x3b997c38, 0xdc5b4b2b, 0xddc6df5e, 0x3080b79b, 0xf3e0f7b6, 0xb0018972, 0x35e97354, 0x5f0f6917,
+    0x26345eba, 0x04769284, 0x050d11b9, 0xd831b95c, 0xf2414e1c, 0xabc48b20, 0xad188dda, 0x64e92071,
+    0x646f9480, 0x9d72813b, 0xfc061028, 0xba596fd6, 0x5c0acf30, 0x1572d989, 0x62903312, 0x69f5f435,
+    0xf4cd1283, 0xd53318d4, 0xcb47902a, 0x839b61b6, 0xfb6aeab7, 0x9b48bb18, 0x47dfdece, 0xba4b152b,
+    0x6e15f044, 0x67475bbf, 0xe157b26d, 0x5f15c2c1, 0x8ffe8118, 0xd838023f, 0x244687a7, 0x511273a5,
+    0xf10aeaa8, 0xd6f176e9, 0x42834332, 0x1a5709ce, 0xd7c48033, 0xd963407b, 0xf941f384, 0xe104f898,
+    0x004e6014, 0xf0a8f815, 0x7ef55da0, 0x02b2a61b, 0xe9a01ce1, 0xd767b75d, 0xcee05a2a, 0x69b2b71e,
+    0x9370bd86, 0xcd097217, 0x7c892e51, 0x72db9e5d, 0x424fa9c4, 0x79f5ce88, 0x3c951b50, 0x01c98785,
+    0x5d39c07a, 0xf7759407, 0xda557ae0, 0x2b7d1f70, 0xb7bab589, 0x31f93856, 0xe41eb278, 0xb0928ae9,
+    0xf0f530ea, 0x2cfc0002, 0x52b231af, 0x3bd303cc, 0x5420d4cb, 0x1c0c7c59, 0x75fea7e1, 0xef1187f0,
+    0xaf594a0f, 0xf24aa103, 0x7b4450f3, 0x54f7acd4, 0x482e5514, 0x6467bf70, 0xc8f64ed8, 0x2322e9fd,
+    0x0b1a67d7, 0x2de0b781, 0x7c2eb177, 0xa2e67804, 0x869a8433, 0xd166fc36, 0x028dd13d, 0x701ca0dc,
+    0xe7b90a6a, 0xc6bcd827, 0x59d373b7, 0x4ed3d16a, 0x5a97d5ea, 0x44d1cc76, 0x541b4d12, 0x70242317,
+    0xc6b30354, 0x67fc6f9b, 0x57aa3d26, 0xc86af9a6, 0xdbc19d12, 0x0d30269f, 0x5c52e7a1, 0xee7cef15,
+    0x4df8468e, 0xe3cbeb83, 0x619cae97, 0xeef288ef, 0x7934a203, 0xd754c1b5, 0x91618acd, 0xbdd70990,
+    0x669fd64f, 0x5d546824, 0x6c7567ac, 0x31cdb1dd, 0x96590cc8, 0x14b83bfd, 0x72426cfc, 0x8c16deb4,
+    0x040d340a, 0x854cbb27, 0x0590cdfb, 0xcfb21cd7, 0xc44662e1, 0xfb9e2438, 0x5aa94ee8, 0xca338665,
+    0xb30c32ca, 0x9ff10711, 0x99481692, 0x200b50bf, 0x55a4bc05, 0xa0235470, 0x92c7286d, 0x1dbd4679,
+    0x73aa4a20, 0xddd77396, 0xb0890416, 0xafc3c66f, 0xfcba0d62, 0xcdbcb8ef, 0x6d85d427, 0x775ae675,
+    0xfe7d1145, 0x77c320fc, 0xfaafcf66, 0xc3908265, 0x83b93629, 0xcb7090c5, 0x637979b9, 0x30281f60,
+    0xbf574bfc, 0x58047c06, 0xe4d0cdf1, 0x97162edc, 0x31b12773, 0xe613074f, 0x93509f11, 0xdaba0c17,
+    0x2046cb63, 0x4985a980, 0x06b4bc05, 0x96e8f15e, 0x7e2ff188, 0xc921a3ec, 0x2d80e1a6, 0xb6b4589a,
+    0xbc82f3e7, 0x43c703dc, 0xa174ceaf, 0xfcb81dc1, 0x15ab255a, 0xd564aada, 0x594a936f, 0x48bc0830,
+    0xd98a66ac, 0x6c605eec, 0x7b4f0c70, 0xa2ebc710, 0x50c25903, 0x31723398, 0x7c5d25eb, 0xd441db37,
+    0x701c3b04, 0x9c008965, 0xed6d16ea, 0xaab2d202, 0xe790c1f0, 0x73ecb269, 0x000e2903, 0x9ef0cd0e,
+    0xa37f2b69, 0xc3fe23dc, 0x669a8987, 0x4a85023d, 0x44f5145b, 0xf70ce17c, 0x0643ab0b, 0x49c53b2c,
+    0xfd83c99e, 0x6089d1d0, 0x3e5369cf, 0x8e5673a7, 0xd1f5440b, 0x11a0207a, 0x834bb929, 0x97433b42,
+    0x9fd38eb6, 0x9dd827e9, 0xdeb558bb, 0x42396527, 0x8333304b, 0x4c0b1d26, 0x5c862dda, 0x37839e31,
+    0x78e3b75a, 0xd918e4f8, 0x6bc27f51, 0x88d4b20f, 0x0f648233, 0x729bc6ed, 0xbf400637, 0xff5ac7ae,
+    0x6a96217e, 0xf2e404a6, 0x25de50dd, 0xf51ba1e0, 0x029dcd40, 0x6d24c07f, 0xa79b4678, 0x8237dcc2,
+    0x4bb50c80, 0x58936283, 0xca2dd340, 0x534039bd, 0xbc477fda, 0x7ef76409, 0x79058b9c, 0x78c9e424,
+    0x6829d848, 0x404391e0, 0x14c5cc21, 0xa7620615, 0x5191adf1, 0x0dce502c, 0xb8dc5e5f, 0x45e35c95,
+    0x83d68fa4, 0xd24dc24c, 0x9cd8b591, 0x6919eb9c, 0xae6c8255, 0x17d66817, 0x1e00594c, 0x15d35f5a,
+    0xa1c4c12c, 0xec4fc717, 0x30a4a08f, 0x4606126f, 0x32431a79, 0x7cbbc447, 0x8db9ab59, 0xc06868fb,
+    0x3d32030f, 0xd51cecca, 0x7283d9de, 0xe4b99130, 0x2a925ce3, 0x368d81ec, 0xa31449d6, 0x7b1ce01d,
+    0x0c6ea432, 0x1893bbdc, 0xbcb43193, 0x185ce22c, 0x68aebcab, 0xee269bbc, 0x20aa8520, 0x491bb2cb,
+    0xd4a958ac, 0xbcd4991e, 0x5d9339ec, 0x9258a821, 0xfbfe212a, 0x779b3575, 0x86725324, 0x52c77a91,
+    0xad88f53c, 0xec582e06, 0x9609af59, 0xf7df13c5, 0xdd032f4b, 0x5b701904, 0xab73fe97, 0x73d91c93,
+    0x21367b5f, 0xa385f1a0, 0x1c2cbf5d, 0x0bd7ea15, 0xa32bc321, 0xf53f9130, 0x1adbbe2d, 0x8e456217,
+    0x638e3166, 0xdad02750, 0x694d9738, 0x1f89f818, 0xeee6f5b4, 0xa1def618, 0x383d65fa, 0x1b6b7664,
+    0x34be667d, 0x6d115ec8, 0xb1d03eeb, 0xb5c56def, 0x5c6cb378, 0x88509dee, 0xc1bf0ec0, 0x656e3bc6,
+    0x739b1714, 0x18402802, 0x9bb59fc8, 0xc4d8e4f0, 0x27f45036, 0xad3a37fb, 0x0bc0a20b, 0xe1670a99,
+    0x2ec5d6c0, 0x6b0a740c, 0x1563afcf, 0xf8a231c2, 0x096fc878, 0x617d005b, 0x3410cae3, 0xc5548ad5,
+    0x512bc3db, 0x7d58fad5, 0x938a2f3b, 0x5a180dd5, 0x09177f88, 0x88e6c7fb, 0x079aee03, 0x84e5e1b6,
+    0x8064816a, 0x55b2ae0f, 0x117738c7, 0x6969ed8e, 0x5a3b04e5, 0xc0a3b3ed, 0x8fed3367, 0x7c6764b2,
+    0x811eaf44, 0x85ec1b42, 0x2fcaa950, 0xa068bd9b, 0x132dee98, 0xfe8e410b, 0xfa32e978, 0x17a3ae64,
+    0xb0e83742, 0xe7ebc143, 0xb2b46cdb, 0xfb5852f4, 0x182bc283, 0xc409f2a7, 0x57c25f66, 0xcc1761fa,
+    0xc2cd3dd0, 0x5fecd68e, 0xa13d2e66, 0x0a5ce44b, 0xa4953d5f, 0x72cdef3b, 0xcfcf8672, 0x4519be2e,
+    0xa36f3bf3, 0xaa7555b8, 0x252ec2ce, 0xaa5a8baa, 0xf87a0a03, 0x2575afbd, 0x295813f2, 0x251dbcce,
+    0x59391c69, 0xb7613760, 0x97ffab2f, 0x1e774517, 0x40b90a20, 0x583f5f03, 0xdf509489, 0x5d82ef6d,
+    0x3bf1d770, 0x33100fb9, 0xaa5d981d, 0xbaa6a8f4, 0xc060e3f2, 0xaab548ab, 0xc5724856, 0x2f689717,
+    0xf77953a9, 0x77734b6d, 0xb30c9a25, 0xb3b1e1cb, 0x1070afc2, 0x78c5c50a, 0xc2fd06d7, 0x93c3ebea,
+    0x2da87c5e, 0x0e0253d0, 0xe6ca0d20, 0x0d67e552, 0x610d824d, 0x64eb5220, 0xfbba1462, 0xba8e3470,
+    0xc7cd040a, 0x64c972a8, 0x13513e07, 0x52858dda, 0x15b5e7f8, 0x24149324, 0x2b8d866d, 0xfc651f11,
+    0x969a45fd, 0xece427a1, 0xa94a70b1, 0x42b8b856, 0x5b53f2e1, 0xfaaa5a08, 0x0debfc5b, 0x83716a64,
+    0xd00f8e57, 0x32db2138, 0x7e31a2e0, 0x9001f87a, 0x88073771, 0x7e2d5c72, 0x4db37da0, 0x3fec66c7,
+    0x08266564, 0xd082ca51, 0xc5204d7b, 0xafdacae9, 0x6d798111, 0x38f4fccb, 0xdb0c8ef7, 0x748047d3,
+    0xec8e88e3, 0xbadf2d2b, 0xac8727c1, 0x17121a46, 0x71e5c8e6, 0x1a33e929, 0x1227821d, 0xe4d85536,
+    0xee909c00, 0xea41e11c, 0x978c229d, 0x46c8bcb7, 0xe5e24656, 0x1897488a, 0xd029d5ba, 0xc1689dfe,
+    0x94709d2a, 0xfa44fe1f, 0x72a5fb96, 0x7e3a95cd, 0xe819ef1f, 0x84c3b291, 0x88a79b67, 0x9c2dd90c,
+    0x3ddd5f63, 0xb59bf1f8, 0xe720c3e3, 0x5d047b38, 0xb5a4d284, 0x456e0a81, 0x156bfea0, 0xc0cf5df6,
+    0x2b9c1920, 0xa6fcc9cc, 0x855834a8, 0x7ffb5dff, 0x2cd02561, 0x08cc2c11, 0x9da5fd7b, 0x8f1c5f28,
+    0x4580f8b5, 0x7ce50e48, 0x62888709, 0xd2224341, 0x438c2f8a, 0x391f12dc, 0xcce58aa3, 0x95434675,
+    0x608cff62, 0x9ead2fed, 0x90bcf736, 0x42f9e401, 0x5ccbdaf5, 0x36b8a3e9, 0x39623549, 0x66502f24,
+    0x543487d3, 0x869bdd8e, 0x810e497e, 0x4765b61c, 0x4e894ead, 0xf4638a35, 0x6e965367, 0x432ab754,
+    0xcf7f1164, 0x113882c8, 0x3222edb3, 0x824dc921, 0x2a78ad75, 0x31adeda4, 0xc0fe91a1, 0x0c5244ad,
+    0x10da4af3, 0x37fc12f5, 0xb69f03a8, 0x2baf0bf7, 0x8122ddf8, 0xecaacb80, 0x83d42566, 0x07d663a9,
+    0x872dafd4, 0x6ead7615, 0xe7f5d3ca, 0xf7491255, 0x72880d5d, 0x527a7fec, 0x545cabfd, 0x08923962,
+    0x6b81ac91, 0x287d8fb7, 0xad601a62, 0x5907294b, 0xebe0277e, 0xf7874ae7, 0x629ad9a5, 0xfa0e9c3d,
+    0xa57f9238, 0xda6cc6b1, 0x9eefd78d, 0x7263a684, 0x044f9ffe, 0x1dfcb1ad, 0xf9d2d7c7, 0x62dcf942,
+    0x3e63f83b, 0xa9ecd131, 0xbceb802a, 0x30d32269, 0xd99049c4, 0x48b64a16, 0xf3fe9695, 0x18b3e6b7,
+    0xf3804a89, 0x942f391b, 0x61a6bb3e, 0x0bff35de, 0x3bdba49c, 0x1f883b33, 0xaa689f54, 0x1795fc51,
+    0x8734d874, 0x5be3f784, 0x36ee6304, 0xb310644d, 0xe7e92893, 0x873b7c2f, 0x8ff2c433, 0xd8c176af,
+    0x058b9edb, 0x9cad5211, 0xa91913b2, 0x6a5ce01f, 0x7424779e, 0x768d8c5e, 0x9422350c, 0x63b49454,
+    0x58da3e71, 0xccac2aa3, 0xb7a21ec7, 0x2fe1fd32, 0xa0a5b54e, 0xd0a03392, 0x84f77c1f, 0xf23693df,
+    0xdeb541fc, 0x5df2d700, 0x005df527, 0xd6e07454, 0x33766164, 0x1cfc8a87, 0x8c3e8908, 0xbe39f6af,
+    0x3795a837, 0xed2d01c8, 0x8d2fc7fb, 0x239af5b9, 0x9d519fb4, 0x423403b5, 0xf0dad628, 0xba276ac7,
+    0x7f9fa0f7, 0x6b615fca, 0x0097cb93, 0x2431231a, 0x9c747030, 0x79fdaf61, 0x3ebb8b49, 0x6844b134,
+    0x74121d8a, 0x7c097e3d, 0x89268721, 0xc6b1310c, 0xb66e6223, 0x35550683, 0xb1872cf9, 0x97318d3d,
+    0x792ad31c, 0xfb9b7645, 0x81169f9c, 0x7d08ada5, 0xfac64b1c, 0x943ec8c3, 0x0af7485a, 0x7359c750,
+    0x0951e5e9, 0xb04e2326, 0x04696af1, 0x1148b168, 0x13e4e0d1, 0x6e752986, 0x500ae8f8, 0x5379d717,
+    0x38e3d0eb, 0x015711ee, 0x3aa0806e, 0xf3b14f98, 0xf86ae513, 0xa875bc92, 0x666a885d, 0x23389b27,
+    0xb7efc8c4, 0x82db715c, 0x5d3699eb, 0x33cacff1, 0x2a236352, 0x355a5035, 0x054c46a5, 0x1bd84155,
+    0xfb3324e3, 0x48643c9e, 0xa0a8d2fd, 0x735f8629, 0x44ae3d95, 0x32afa328, 0x15c27cab, 0x1ab658c3,
+    0xdb4be6da, 0x1fb8ebf8, 0xcb7f043d, 0xe2e03d65, 0x5221d9c6, 0x14c6e7c0, 0x108cf0f8, 0x0d083f70,
+    0xb9af2656, 0xa71e727b, 0x3250e560, 0x7e5c2668, 0x9ae78002, 0x8573b875, 0x09c1bd98, 0xc45dd3ae,
+    0xf6b21d92, 0x230c4e2b, 0x60eae42f, 0x78ee97bb, 0x23b4e0e4, 0xa7927a38, 0xd28c4d70, 0x3d2057e7,
+    0xa9892ce4, 0x7938ab15, 0x35ee7bb6, 0xe77b7546, 0x6e0697f6, 0x94b11994, 0x2ba1601d, 0xc51dbb34,
+    0x09ab9d96, 0x61f5c397, 0x5c4ace82, 0xb18c3ad5, 0xdbdd9ea0, 0x7f7fd32d, 0x58c117f9, 0x4f9109b7,
+    0x284a5623, 0x4639f71d, 0x3e42da3a, 0x5cfa2bd4, 0xc1dc24ab, 0xdeb4f151, 0x8f8e9442, 0xa1aff10e,
+    0xfed896c3, 0xebbb093e, 0x3b48db9a, 0x4f5a3bb6, 0x120957f8, 0x2e531e3c, 0x374e0d77, 0x1cf48a98,
+    0x87465db8, 0x6f5f8fc9, 0x583e0d1f, 0xabe8da5a, 0x8e00f423, 0x5255d1bd, 0xaca1e3ca, 0xdcf40df9,
+    0x576cd186, 0xd894fcff, 0xe9455bc6, 0x350c329f, 0x3c1c14c8, 0x21757f8b, 0x80db32a0, 0x1082e71d,
+    0x3091196e, 0xff426a6e, 0x8dabb2bf, 0x47c8de10, 0x81b8c868, 0x51eb83ba, 0x7c7af507, 0x635d123d,
+    0x49f274fa, 0xf1118a34, 0xf4007552, 0xdf17eee2, 0x0c235e91, 0x75dd717e, 0xfb357754, 0x65b9d527,
+    0x060996fe, 0xe7970102, 0xba869e33, 0x069b856c, 0xbf4e977f, 0x4bf7014c, 0x7f72d32b, 0xee246ed2,
+    0x53e26392, 0x1c3d0cd0, 0x5574adef, 0xd36a5801, 0x6435b501, 0x0a44e759, 0x77d4ae12, 0x57acd260,
+    0xe755d9ca, 0xcaf652f5, 0xe2c4ad7a, 0x31a7d0ba, 0xdc3e241e, 0x2330a544, 0x5c034a85, 0x5c2e6e7c,
+    0x94fd00d3, 0xc79fb43f, 0x3b283a27, 0x1964720c, 0x36d15857, 0xad04f0b8, 0xa9ec3f7c, 0xc3618d6c,
+    0xa2251ab6, 0x23e695e9, 0x945fcf94, 0x812e3510, 0xbcb0c29f, 0xc1467e70, 0x25ca0648, 0xcf2edbde,
+    0x56c7b9f9, 0x73d5c04f, 0xaf3d2b96, 0x4af87946, 0x4b18d154, 0x5eab206d, 0xed61ab82, 0x97357bad,
+    0x4b844f82, 0xaa2bed2a, 0x56aa856a, 0x8266f648, 0xa41ff5c3, 0xfa16af39, 0xa6ef3021, 0x47d719c3,
+    0xd62f9888, 0x77be1dab, 0x27351493, 0x369df9fb, 0xfe8b4607, 0xd10d266f, 0x3a1d47b9, 0x5b66a227,
+    0x6502701a, 0x4a89b5bc, 0x1c76bc3f, 0xc8dfeee7, 0xc0a28b36, 0x163d1782, 0x1cce2212, 0x138c6bc0,
+    0x05a8918c, 0xfc6fd96a, 0x1db74bda, 0x9230129b, 0x2a74ec4c, 0xad3933de, 0x2e081641, 0x906bb3c4,
+    0x00000000,
+    0x6db5023f, 0x0cb91d40, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000004951760157141521099596496896 */
+  { 0x00000000,
+    0x10afaf02, 0xe25130e6, 0xb6749079, 0x9c13d0ed, 0x97a39c14, 0x7d32d7a2, 0xefe2ecb8, 0x35a19ede,
+    0xa0ccbe0c, 0x2520497f, 0x90ab147b, 0x299fbe5c, 0xaa72b193, 0x29effd73, 0x0f12bde4, 0x26416fdc,
+    0x61a15dca, 0xb42cef3a, 0xa7d18e0b, 0xab4cf115, 0x1dc17f80, 0x6ff53a8d, 0x4d0f6384, 0x41506d76,
+    0x208ffae5, 0x7b5ea315, 0x9d0bfb4b, 0x1e8c367e, 0x3234da96, 0xebc8f0a3, 0x3aca1975, 0xd720e1ce,
+    0xbfe74353, 0xbfca2d69, 0x920dfa0a, 0xedb28aad, 0x9db92377, 0xc8bfdae3, 0x122a9e4b, 0x51488b29,
+    0x1c56ddb8, 0x05489606, 0x2a7ac542, 0x04d87bb1, 0xa8e9ed72, 0x5b51b18c, 0xab89558a, 0xae2dfd09,
+    0xc74aadfd, 0xbb4918f9, 0x207b1973, 0xeb3b8915, 0xeb9c389b, 0xa888f4df, 0x267f4258, 0xe1e7b712,
+    0x1df77382, 0xc238ab6a, 0x68e8c060, 0xcbd5f70b, 0x7bf9a960, 0x17760cd0, 0xa7a005f8, 0x42dc6edc,
+    0x73f22d42, 0xc625f1a9, 0xa6bfd935, 0x49110bb8, 0xaae248df, 0x1361692a, 0xf0ae4e85, 0xbe1e67fe,
+    0x3ecd9d57, 0x5ef4a85b, 0xb0185299, 0x483ad3e5, 0x4d43f3fa, 0x253d4fc4, 0xdfc835e9, 0xddeb0ae2,
+    0x4684d685, 0xaf62e5a7, 0x63faa775, 0xa2c2dee9, 0xe7de97a3, 0xdfbeb777, 0x8f6fa6d1, 0x9ad7df2f,
+    0x33643f3f, 0xf0a4e1a0, 0x42fba8f4, 0x73e5759b, 0x4e3524f3, 0x2a84fa8c, 0x244242d8, 0x58d5cc28,
+    0xaf68dfd6, 0xdb167332, 0x01d4a2fa, 0xd0afcd02, 0x46e835aa, 0xc770960c, 0xe3fa0ea1, 0x116e100c,
+    0x44b9a6b0, 0x8987e741, 0xae811fb4, 0x7f087b65, 0x6d901b03, 0xdbe4aa86, 0x44a402c4, 0xf51f6aa7,
+    0xb1d1098f, 0xe20b99b8, 0xe96dffdf, 0x0a3fc5e2, 0xec9cb938, 0x676ca766, 0x92faa219, 0xf8e71a44,
+    0x7357ce0e, 0xd22d4001, 0x5bcca0a6, 0xdcce2d83, 0x7cfb6b76, 0x78058b11, 0x9832450c, 0x6d97a05b,
+    0x8d28e0ab, 0xdfad0e5e, 0xf336e3c7, 0xbc2ebb7a, 0x494a22fd, 0x851a3832, 0x6a4932ac, 0xa4411150,
+    0xef38e76b, 0xbe57a898, 0xed4e9fc2, 0x161eb42f, 0xe1aa91f9, 0x3f34cb61, 0xa64276ef, 0x0546de68,
+    0xceef4d90, 0x81c14524, 0x9cfd7a95, 0x205b8989, 0xdce7ced3, 0x79cf90b3, 0x73b1e12d, 0x5eaba6c8,
+    0x3f172613, 0x88104f55, 0x684fcfce, 0xc65d7f47, 0x89f58b22, 0xe0a91efc, 0x89847924, 0xf986b217,
+    0x3bbf422f, 0xb374baf5, 0xab6d6301, 0x5dc7cb6c, 0x78d3987e, 0x6d111ffb, 0x08c1e2c6, 0x5cc15fe1,
+    0xb10d2967, 0xeaadd8b8, 0xc79f2ca3, 0x6479d15e, 0x46e9d816, 0x656acc31, 0x61cf8b5a, 0x05ed5d8b,
+    0x262e442e, 0x2dd5fdb7, 0x8a390a7b, 0xa39cb398, 0x83587928, 0x7c950835, 0x0fe893aa, 0xdbfeaad5,
+    0xa454b2f4, 0x70011e7e, 0xf3634b18, 0x5e06fdff, 0x857a8bee, 0x42948914, 0xea48de78, 0x89ef94a9,
+    0x2287bedc, 0x12ce9da4, 0x2ae4836d, 0x5d612e4a, 0x4247c0f9, 0xa8548807, 0x37a90c0d, 0x58b12a44,
+    0x99584e8c, 0xf6d32d26, 0x7b42525e, 0x7549a82c, 0xb3e4d904, 0x719579bb, 0x9e9580be, 0xdf51112e,
+    0x037bf7b6, 0x53b2093d, 0x30a1f5c6, 0x665f2cf2, 0x272db0da, 0xf377690b, 0x80ac47ee, 0x04840f81,
+    0x665ce0d8, 0x216a7fb4, 0x50f998f0, 0xdcb65584, 0x59159625, 0xc24e5e33, 0x4a5459c4, 0x2f21ff3b,
+    0xa2faaa57, 0xd0360a7e, 0x80c7b76d, 0x92861099, 0x07a174e9, 0xa867cd10, 0x90baf4f7, 0xc3c63392,
+    0x453008a4, 0xd6557e29, 0x036cadd6, 0x093ffa30, 0x56ee867c, 0xe684beae, 0xd0ae1a84, 0x1f595cd4,
+    0x2b08d827, 0x96bff378, 0x294b107f, 0xa52abc0e, 0xc86874c7, 0x605d526d, 0x3a932bff, 0x6d674b8f,
+    0xca16b3f1, 0xb9afd909, 0x76907a15, 0xa21d6604, 0xb8d43e9c, 0x4adf772a, 0xe81c0f98, 0x2da750fd,
+    0x29c1dc1f, 0x34a24107, 0x78fbf65e, 0x901ea269, 0x60c4bd14, 0xb647eb90, 0x047a54c5, 0x18cd4a13,
+    0xda2c56aa, 0xbd7ff98d, 0xf41db693, 0x2c6d0970, 0x46484675, 0x45c1a2dd, 0xbca07382, 0xc151bdba,
+    0x5e137a04, 0xd7bf59b8, 0x7b409213, 0x42d2abc2, 0xc857f68a, 0x88dd796a, 0x3aa1ee7c, 0x262c91ff,
+    0x86187303, 0xf154c9cc, 0x4e1b39dd, 0x6a1a47ea, 0xb14232bc, 0x459c3b12, 0xf61f7965, 0x323b6080,
+    0x887ac92d, 0xf4a6671e, 0xbab5d823, 0x8d28e05b, 0x0e0b3696, 0x3c145dbf, 0x37132f73, 0xd7bed65a,
+    0x4df7c795, 0x4839c8c2, 0xabec8648, 0x691416cb, 0x5455a9d7, 0x54b94372, 0x597ab849, 0xac66b159,
+    0x479114a6, 0xb3966320, 0x976cc38a, 0x668037bd, 0xfff3e963, 0xba468367, 0xedae815d, 0xf3c5e378,
+    0x5f0736a6, 0x24af6b0b, 0x9a89a0dd, 0xa0d84231, 0x839de15b, 0x07ce13dc, 0xed1c956f, 0xca74c86c,
+    0xdd25305a, 0xfae96eaf, 0x82345c7f, 0xd043cd92, 0x98e7a087, 0xdd2ddf65, 0x2794aada, 0xbd42641e,
+    0x04c00d6c, 0x8497c97c, 0x2302fb05, 0x203b94d5, 0xe1d2770a, 0x3d4817de, 0x63c24418, 0x99741e7a,
+    0x2d8798aa, 0x308cfe18, 0x458387cc, 0x84aab10e, 0x9d01e39a, 0xdeccb59d, 0xd27a1809, 0x46e1ccd8,
+    0xf93df585, 0xaeff6462, 0xf8de0b8a, 0x74327cc3, 0x7e9e03fe, 0xadf2adeb, 0x2b347a8a, 0x0413cb59,
+    0x9482e264, 0xe8199029, 0x025e8286, 0x4affbf9b, 0xbc9f323c, 0x3273fda8, 0xfc6f4816, 0xba1d5677,
+    0xab692fe6, 0x161ad2a5, 0x9d5d3528, 0xb4cf817b, 0x5cf5611e, 0x2f31bf48, 0x299fb6a9, 0x9e861a2f,
+    0xc549e8b9, 0x9e946efb, 0x8f80045f, 0xda115660, 0x5686c1f5, 0xdc2b1167, 0xf4fd8d99, 0xacc2df84,
+    0xaa1d9ac5, 0xa807a72e, 0x157f8580, 0xc525699a, 0x92e1bc4f, 0xb4014348, 0x05f55857, 0xf7726ea4,
+    0x84f6025d, 0x1360101b, 0x629b7f60, 0x8ca0f870, 0x26e5cf1f, 0x19c33610, 0xe8f9bbc2, 0xdd7399e4,
+    0x7f3a3a5a, 0xc9162ed6, 0xc1c54a67, 0x139fff46, 0xa75aba0f, 0x47e5eecf, 0x3b673da3, 0x88680fe5,
+    0xbf8cb8f0, 0x122b9b35, 0x4e1f9e14, 0x8106ff1f, 0x53ef7fb8, 0x55803e6a, 0x8b7dd684, 0xf7bd1d08,
+    0x15c5bc66, 0x7861557f, 0x484a2231, 0x36612f1e, 0x35a2da98, 0x8680d3f9, 0x8867ff51, 0x87634c96,
+    0x0b4e466f, 0xbe442e52, 0x9688d8af, 0x19ff1ab3, 0x3d4f26ae, 0x2b518c2e, 0xe5901c6e, 0x8f7ecd60,
+    0xefbe62b9, 0x4d6b40ef, 0x8de775ff, 0x4dccf27d, 0xcb3ea6f9, 0x37acf946, 0x97b26120, 0x4e684216,
+    0x6bcbbddf, 0x3865e2b5, 0xece72ca4, 0xad627a1f, 0xe3cf9bc1, 0x18b0009b, 0x4ff1420a, 0xd13cc0c7,
+    0x1b845db3, 0xda7b53b5, 0x4a4149ce, 0x9b3ab8d8, 0x884d65fe, 0xef9e6bed, 0x0865d3f4, 0x88624cb6,
+    0xa3e77b63, 0x399f8581, 0x5ff75b2d, 0xb4690026, 0xe47336e1, 0x6c97c89c, 0xbd2e447e, 0xf02519b0,
+    0x2d8c0a55, 0xffb79671, 0x459a06e2, 0x6bacbe85, 0xc63ba5f3, 0x419fd53f, 0x0be4f100, 0x4c31b5e7,
+    0xfa0c1fcf, 0xf00fb7cd, 0x4eab559a, 0xc26a5dd3, 0x452a439c, 0x84e0c4e4, 0xa83362bd, 0xb9665838,
+    0x9ad8a13f, 0xe5ae1ba6, 0xf260cfac, 0x6fb0dca7, 0x9216ef26, 0x99abad5a, 0xc2b9ac92, 0x4b79f2b2,
+    0x51319a06, 0xf96d842d, 0xacd6031e, 0x65a44768, 0x68a0a21b, 0x4852b0ba, 0x35ec5e5f, 0xf7a2be4d,
+    0x78235695, 0xc1fd0099, 0x32381d42, 0x682cac1b, 0x6db9d848, 0xc66b19dd, 0x63fb9c95, 0x0a224428,
+    0x8d23a564, 0x70ea669a, 0x754b6de9, 0x73323ada, 0xe6d74d75, 0x0f527d49, 0x56614f65, 0x91b1aaee,
+    0x92b570e6, 0x64b3c10f, 0xe76373ab, 0xb6f26bcc, 0x234ed8f9, 0x22cf8a7b, 0xb71cd16b, 0x176484dd,
+    0x706b645a, 0x770ad06c, 0x299112b8, 0x3781b7e6, 0x0ff7878c, 0x58ab7b30, 0xa7686d04, 0x5f26379e,
+    0xc4a4903a, 0xa018d1ac, 0xb3fcd7af, 0x330b4ab6, 0x287dc315, 0xc4d3dcc4, 0xe55a0026, 0x1dd7c21e,
+    0x3e3cdbda, 0xf972d23f, 0xefb32d48, 0x2a82a4de, 0x109698bc, 0x5996028f, 0x86f38b29, 0x124cefdc,
+    0x34bd5ff0, 0x3d5e55bc, 0xfa2491b9, 0x41f76674, 0x86982658, 0x9389fb2c, 0x2a67c01a, 0x6f66de29,
+    0x4ab37a44, 0xf8c78f31, 0x538a32d3, 0xc408a378, 0x774f94c7, 0xacb73ff3, 0xffa2c009, 0xfc1f0b6c,
+    0xf303147f, 0x6d7dbe93, 0x4acdc509, 0xbdc3f127, 0x97a31c18, 0xdfd4c596, 0xd5c0863b, 0x204a366f,
+    0xab5f10f1, 0x5c9b5e3b, 0x5e2f3333, 0x9878b239, 0x81eda90a, 0x6ec015c7, 0x311104f8, 0x0c8621a6,
+    0x5e26e898, 0xf7377274, 0xa016c12c, 0x42ad0422, 0xff91cadf, 0xc0153fcb, 0xec16e9ac, 0x98c04d88,
+    0x5bd7b8c8, 0xeba9aa61, 0x1fba0981, 0xed5804e5, 0xbaa9d2f8, 0x3fcf67ac, 0xadc4c2ba, 0xbe5a55c1,
+    0x1da78431, 0x8ec53f16, 0x0fb595aa, 0xc4d8bc85, 0x45ae891d, 0x251d4a1f, 0x97de3de1, 0xf17d961c,
+    0x540ae27e, 0x9e9e5abd, 0x863c2171, 0x9e0d47a9, 0x2c9e7ee0, 0xe2328e66, 0xbfefc02e, 0x16d0ad7e,
+    0xe7295095, 0x46eba6f3, 0xe445ff13, 0xb4007010, 0x20065d5a, 0x73dd95eb, 0xe046cd24, 0x32989e61,
+    0x0a9b6d64, 0x6b0cb10b, 0x4c829565, 0x54a80a73, 0x507fe4ac, 0x0a52ced8, 0xedc42593, 0x42d9ef82,
+    0x06edcda7, 0x55f36013, 0x7e3ce1c5, 0xe1923782, 0x8b5a5a2c, 0x9f013fa9, 0x75412c98, 0xd2809fe5,
+    0xcfdefccc, 0x5c741269, 0xfe880b44, 0x7992df78, 0x09dc4a7e, 0x5e87c5a3, 0x2ea8c03d, 0x1eb4b751,
+    0x86426a86, 0x2265ea4b, 0x430e051d, 0x21daf296, 0x74ba5ed9, 0xadd788a3, 0xcf54b1f2, 0xe6b57a15,
+    0x83b1af0a, 0xf6dbd07d, 0x1b2a3ed7, 0xb7f0beeb, 0xeb446cb5, 0x704c06cc, 0x220ad354, 0xfd102e85,
+    0x6daa6729, 0x53394ac1, 0x1667db4c, 0xa25a9490, 0x7999b236, 0xb77db528, 0x85d0d1da, 0xe989be94,
+    0x3e8f4615, 0x179d176a, 0xf7fc4c18, 0x47186427, 0x4bf01c6a, 0x596f5101, 0x8eec9d05, 0xf314e025,
+    0x2690bbbe, 0x247f063d, 0xb7272dd3, 0x37b74d82, 0x1ec0a20f, 0x392b4e84, 0x9d2a12a1, 0xfcdc5045,
+    0x5cb274d9, 0x02838890, 0x87a4f666, 0xc809186b, 0x2eb4280a, 0xc9341858, 0x3aff1f76, 0xf89e1f7e,
+    0xfdf26d5b, 0x4448b3f3, 0x6424638c, 0xa349fdb8, 0x57900537, 0xd7bac3f9, 0xa960ec91, 0x3f320fee,
+    0x01edf4d3, 0xa28f92dc, 0x6e2ca789, 0x17decc10, 0xfcd562b0, 0x8b8a246d, 0x800b1d1a, 0xde382a7c,
+    0xe0d7b2d4, 0x05f8eb47, 0x56885376, 0x3e775b88, 0xd6456561, 0xe75a50c1, 0xe0fe26c8, 0xf8d80ad1,
+    0xbc6e0d73, 0x18fe7272, 0x2f8381d8, 0xb5b28f95, 0xca7e934d, 0x3f0edf23, 0x208feb95, 0xde0ade28,
+    0x2513f2ed, 0x09f9b76d, 0x9badd760, 0xeeaf747c, 0x1af5ea0e, 0xfa915535, 0x5915e0a8, 0xd02da8b0,
+    0x261751f0, 0xc1575281, 0x7d56dc5d, 0x915053d0, 0xfe027d5e, 0x08ff8f45, 0x967457eb, 0x0e7ac6cc,
+    0x750901fd, 0xb230b11e, 0x8fe47352, 0x34a82321, 0x00803fcb, 0xd40eb97b, 0x467cd50d, 0x2dfa89d1,
+    0xd7fd69c1, 0x4742c034, 0x347c9325, 0xb00f89fe, 0xcaa4dcc6, 0xd268bc59, 0x1fd549d6, 0x061011a4,
+    0xf9a2629a, 0x4f40e2b0, 0x50d538f4, 0xbc9f6fd2, 0x4092f0c8, 0xa099bd91, 0x359a3f63, 0x6038d746,
+    0x738743e1, 0x78f590ca, 0x35856345, 0x5a1b0a4c, 0x1bd1c846, 0x430e6a53, 0x5dc4c4d5, 0xa957fc82,
+    0x499194f2, 0x1adaa9f8, 0xadc80d7b, 0x219c8998, 0x78a1ebea, 0x22a93763, 0x7c3df052, 0x8a7475d7,
+    0xf5de7ad9, 0xd974ffcb, 0xdff8fdc1, 0x7c87fa7b, 0x3d3a27f2, 0x061bda0c, 0x8813bdde, 0x32d4ba35,
+    0x0467b1ba, 0x32f3fcee, 0x5562f045, 0x1ceb3a98, 0x811b9351, 0x3c31bd31, 0xfc051c5b, 0x88c1a898,
+    0x2b319141, 0x57c45f73, 0x058ee857, 0x6d43b997, 0x57b1c637, 0x48ce270a, 0x0a7fe7f6, 0x6e8dded7,
+    0x796ec99f, 0xdb643411, 0x400e4145, 0x8cb48b40, 0x726e57db, 0x1e4a005a, 0x8492ab81, 0xcab673e8,
+    0x1d52e952, 0xffb43b2f, 0x21677e7e, 0x11122e91, 0x336ceb02, 0xb60f1f42, 0x3e2147f8, 0x56311a88,
+    0x69c8c560, 0x0b7810b4, 0xc10d1701, 0x3251c971, 0xef1bb85d, 0x4fed0d09, 0x03caf2ea, 0x2efec18c,
+    0x2be7b462, 0x8070b647, 0x8760e1a2, 0xd8268986, 0xe0f71597, 0x6aefa3ff, 0xcbf77d49, 0x9f748aa8,
+    0xf7bfe3e2, 0x7f63bda6, 0x5da308df, 0x8f3d4f69, 0x3aed7612, 0x266c97fc, 0xbab30758, 0x91a4a7e9,
+    0xd058600a, 0x2997610b, 0xfe0d3ab9, 0x18a93cf0, 0x5a497e04, 0xa6030b6c, 0xfd99d800, 0xd663bd73,
+    0x5fc80676, 0x036f3dca, 0xb94c5cec, 0x48c0d15d, 0xead52040, 0x5aa9ac52, 0xf536a612, 0x0043cbe4,
+    0x8bb04198, 0x78106895, 0x8ac95d17, 0x5bd3a95c, 0xff3deda4, 0x30174279, 0x31d89977, 0xd1cb3597,
+    0xe980ee2a, 0x971c08f9, 0x81b95a0f, 0x1fce2290, 0xb84ec459, 0x5c0196df, 0x69446c39, 0x5d405edb,
+    0x107774f9, 0x7fed2f3a, 0x748677c2, 0x471bd5f7, 0xc07f9633, 0xb1cd9a6c, 0xcbc135d6, 0xd1f0feca,
+    0x0b8dadb8, 0x7796a8a1, 0x5dab0c1b, 0x5d16a415, 0x220e0ac8, 0xc06e07d5, 0xa076be8a, 0xa668a849,
+    0x4b6577c1, 0x386e6113, 0xd70b2031, 0x6d59722c, 0x8564f554, 0x6d213210, 0x5297d44b, 0x2638d325,
+    0xbbc60c6a, 0x950a1438, 0x6287d614, 0x955cf4f4, 0xc752376a, 0x5fe85763, 0x5afd3cab, 0x2718d40c,
+    0x737fc7f1, 0xb7f70af7, 0xdf9602e1, 0x0085212e, 0x5b279f07, 0xd3fb0a90, 0x3396a233, 0xbea85e82,
+    0x5f276722, 0x516a2316, 0xee20269b, 0x73a9c811, 0x5b387075, 0xa0bc8631, 0xb91438e8, 0x21bdfdd3,
+    0x4408a972, 0x8390e05f, 0xa78da2d3, 0x5ff6897c, 0xbfe132a9, 0xd3e1a4c5, 0x02bcdd1e, 0x00777d83,
+    0xc54e420f, 0x16d179b2, 0x4c02fdcf, 0xbe433fbe, 0x4b68d442, 0xc5ad8fec, 0xc9b8cef9, 0x078a591c,
+    0x58d5043a, 0xe49fbceb, 0x3aec5430, 0x00539a1a, 0xba3b9041, 0x80977f5e, 0x313b7d12, 0xb5eb16c9,
+    0x0aac7639, 0x0cad3507, 0x1b229450, 0xfe40f8d0, 0xec530956, 0x49720341, 0x1af56c7a, 0x4c8c83f9,
+    0xa62123f9, 0x6329fcbf, 0x74ec32bb, 0xde01d6a4, 0x2114e290, 0xca8f25f5, 0x6f891920, 0x7870ca2b,
+    0x31ba6896, 0xacd004a0, 0x64c98078, 0x61da22e8, 0x39e8a8c9, 0x74a26fa5, 0xbb323136, 0xe44f3a5d,
+    0xb82fd1ac, 0x7ea2c48a, 0xeccff607, 0x17a9f2ee, 0x91d4d7df, 0x15815418, 0x033265df, 0xde216fcd,
+    0x5c54b515, 0x331cddc7, 0x707d4f45, 0xcfc1e766, 0x65430a95, 0x169adbbe, 0xe1786331, 0x32b09dd5,
+    0x66a1eebc, 0xd328119e, 0xe44ffed5, 0x0bd61837, 0x56cbca88, 0xc99e3e51, 0x8096b426, 0x2e9afee3,
+    0xce0223b9, 0xa38266f2, 0x50b7e985, 0xc2eac38f, 0x5b022a24, 0xac000190, 0x0126cdf8, 0x65bc883a,
+    0x5be43138, 0xfe259e86, 0xf25bc6be, 0x1d0bcd3e, 0x49a0b347, 0xb9730fc8, 0x3355de2e, 0x3952cc94,
+    0xc2ee7dee, 0xb745ad24, 0xfe514442, 0xc7cb8f0f, 0x7713fd34, 0xab0c71d8, 0xc708b68c, 0x87f67260,
+    0x00000000,
+    0x36da811f, 0x865c8ea0, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000002475880078570760549798248448 */
+  { 0x00000000,
+    0x17abd545, 0x11eea72f, 0x4b56efba, 0x4ef6e6a9, 0x06078ad7, 0xc1974ca0, 0xf4790b3c, 0x149872c3,
+    0x1f938ea3, 0xf7bae3d3, 0x2f937472, 0xd3627b96, 0x47f5cc48, 0x6a22a6dc, 0x367c06a1, 0xb83f8b42,
+    0xa684d310, 0x5413ce8a, 0x350c69d1, 0x7ccecb13, 0xcdc422f0, 0x6c1b6c8a, 0xb91e0d59, 0x63c8a641,
+    0x35da7480, 0xdb7a275e, 0x65e50c07, 0x1d123ff1, 0x11c0a5fe, 0x00047cf4, 0xb209d9e8, 0x9a664ace,
+    0x9a753b6b, 0x4c7776f0, 0x7d5a6294, 0xa7e23980, 0xeb9f1443, 0x00671dd2, 0xa7e748dc, 0xa881f8a4,
+    0xd4627fed, 0xab9bf759, 0x0352129a, 0xc084faa1, 0xa9c4e7dc, 0x279b10d6, 0xb32ea853, 0xa1da3942,
+    0xbede36e4, 0x5626f95a, 0x9196ba98, 0xbd5a3d27, 0x6cac2b9f, 0x2057d5bb, 0xfb48e32c, 0x1c56c866,
+    0x8c7888ba, 0x17054304, 0x3329d3a1, 0x2c785b0c, 0x55f8abd2, 0x1984b700, 0x2bef5e00, 0x71053660,
+    0x11c7b89a, 0xcefe3b63, 0x6e376bd7, 0x2bb10f4c, 0xc8d59c76, 0x045be537, 0x28a3018b, 0x52b43f50,
+    0xd2267d50, 0x9b895ac6, 0xacdde42a, 0xd85ebb7c, 0x3337be2d, 0x47ed2c46, 0xd0ef607c, 0x357d236d,
+    0x80c3bd71, 0x5912e0c9, 0x7fb9d448, 0x18702205, 0xbd58d7bb, 0x6be9a649, 0xc7df69d8, 0xcef0adf4,
+    0xf221c0ee, 0xca68f403, 0x09178f92, 0x8f511b69, 0xb9e599f2, 0x8ea8547f, 0x6d81b481, 0x706b23d6,
+    0x5a2040dc, 0x3c75d608, 0x2d1989f0, 0x6a6ea6c2, 0xb49af59f, 0xfb20ee0f, 0x999909c5, 0xe2da713b,
+    0xd5ff2d5c, 0x1d0b5ee2, 0x4a496096, 0xfe9aa027, 0x4fd24348, 0xf98835d3, 0xc697d3ad, 0xe9f84c0e,
+    0xc180ad90, 0x09adbb85, 0x50c28926, 0x084a5693, 0xe285cdc4, 0xd72d15fd, 0x6a60db2a, 0x023bcd13,
+    0x9a29d4b4, 0xc0677bdd, 0x1d9332db, 0x9ab9e1ef, 0x24095cc7, 0xf1a70250, 0x6686d762, 0xed7d3141,
+    0xa2e83de0, 0xc18b1b5a, 0xb54e9a6e, 0x0dba1696, 0x56c78bc4, 0xbf958a1c, 0xfcf75d84, 0x5aabbf6b,
+    0xe21692db, 0x772e23c7, 0xc8847202, 0x3d7f94c9, 0xcd29a05c, 0x5d819952, 0xbda45758, 0xb7b31694,
+    0x00df7e8f, 0x992c0c29, 0x89f757e0, 0x83ca4dfe, 0xb1e1873e, 0xe5cc0924, 0x86287334, 0x5b2c05de,
+    0x8085b42e, 0x0e64a85d, 0xb9923404, 0x11ab0871, 0x87f5b4aa, 0xb5f2da4d, 0x24c8a5e9, 0x90e3bdf7,
+    0xb34bd660, 0x93d0274b, 0xe9e09b37, 0x8374c104, 0x32ab6348, 0xedff9887, 0x9d0e0919, 0x4c4a9edd,
+    0x61d793e2, 0x8dab8fd1, 0xa43ba548, 0xe5e36dc5, 0xa3f02d21, 0xcea62d7f, 0x85402576, 0x72023f3f,
+    0x7017cb80, 0x8cb63b92, 0x084c8b70, 0x51d1d950, 0xdff653db, 0x46e4e247, 0xdd80212a, 0xacb52327,
+    0xaa63ab22, 0xe01d75b6, 0xbc9c82d8, 0xc689092b, 0xd01440c7, 0x7ba6ff77, 0x20e7dab2, 0xbe300a2a,
+    0x2cb73865, 0x18ed63da, 0xaa4e2b21, 0xf2408377, 0x37746779, 0xa48d8621, 0x22bfa13a, 0x783c70d3,
+    0x21929bc2, 0x34065ce4, 0x2e8dacd2, 0xebc2845e, 0xd3e2f90e, 0x058a390f, 0xa2e15d1e, 0xf58f2cee,
+    0x5ac61f3b, 0x2b3db20a, 0x76be5440, 0x4563a713, 0x46949e7d, 0xaeaf43e1, 0x53128618, 0x8046ee36,
+    0xc469940b, 0xca45047b, 0xe7ecb78f, 0xca725c62, 0x91607a98, 0xe754a6ca, 0x71ad66c8, 0xd510f3d5,
+    0xfccbe788, 0xfdc7da61, 0x8e492ce1, 0x37645779, 0xbfd45058, 0xc6749030, 0x3f9a4131, 0xd7237759,
+    0x9c26efa8, 0xf266ce53, 0x30eee1cc, 0x820db173, 0x996cd0cd, 0x3afb7bf4, 0x80665fb5, 0xd192a7af,
+    0x661acb6b, 0x585c473d, 0x27eca499, 0xebcc4c4c, 0x5bf7228e, 0xb78c97c2, 0x2959b406, 0xf05cca41,
+    0x96f1bfad, 0xdb3068d5, 0x9a44ae5d, 0xf32611aa, 0x0733890e, 0x3f30657b, 0xf22ffb23, 0xdb67bf60,
+    0x8a6deb94, 0x99d259db, 0x7c49230a, 0x5ff2e24e, 0x2e4fbe4a, 0xe688c519, 0x19147af5, 0x94170b6c,
+    0x65ee5d3b, 0xce79a5f8, 0x9f11521e, 0x3d6e16f3, 0x2a16248a, 0x523e0f8d, 0xab7890c3, 0xaf17f41e,
+    0x9a93dec4, 0x1d386f3e, 0xbdfcdd84, 0xb343a7d5, 0x5fad93ab, 0xd8e35329, 0xd5b76e35, 0xd0a39783,
+    0xf03a16be, 0xad2e84ca, 0xcb7567e6, 0xea58627b, 0x98c6a077, 0x6907bebb, 0x29f5404e, 0x13b9999c,
+    0xaca82220, 0x98b3abf4, 0xa34bde9f, 0x09199b2c, 0x4396f79c, 0x57de62b3, 0xe9c5dc5e, 0xe0c957a9,
+    0x264f5a4e, 0x8aae0ec1, 0xd23224cf, 0xaf226e7b, 0x79864602, 0x6855cfe7, 0x4e903b85, 0x34336063,
+    0xd805ffd2, 0x3effbf43, 0x6412baf5, 0xf960c671, 0xb528f78b, 0x53933212, 0xe9a7dd5e, 0x72a217fe,
+    0x19e82895, 0x2b82b41e, 0x254a808b, 0x13deb80c, 0x0aac3a45, 0x2568e62c, 0x56a64734, 0x1349c242,
+    0x3a8a27be, 0x8335130b, 0x67173cba, 0x27c76d6c, 0xcabd7594, 0xd0e083d2, 0x56fff5b5, 0x41587916,
+    0x3ddea18d, 0xce550d6e, 0xb381b013, 0xafb00c5b, 0x82355879, 0xc2deaf0f, 0x4bdfcf60, 0x598d4f07,
+    0xf514daa6, 0x5c05a3bc, 0x8a13e648, 0x709adee3, 0xb05b1722, 0xe77f70bd, 0x3a0805aa, 0xb5853196,
+    0x455da00c, 0xae751ead, 0x133e26b1, 0x6ef9e2aa, 0x44053c03, 0xe63b763d, 0x74626dd5, 0xbcf5ba55,
+    0xadc12280, 0x1e822cd1, 0x48c6e4e7, 0xf5e340af, 0x3dff5d09, 0xb8dd4476, 0xe8272a4f, 0x4d7dc531,
+    0x63684c9c, 0x84ef863b, 0xf31e2a3a, 0xd5f07215, 0x4639ec2a, 0xe01bc847, 0x269555cb, 0xf3ebf8f4,
+    0x6b6d56d9, 0xff75c9a6, 0x41e9ad87, 0xb4f23580, 0x3a3490b3, 0x30af6b82, 0x8a544e02, 0xc6f572dd,
+    0x61b46a59, 0x4d8064fa, 0x23fc0405, 0x7e73319e, 0xa7ea087b, 0x3dce0e64, 0xee444a70, 0x70440d72,
+    0x00cd97ea, 0xbdb4e311, 0xf3f96473, 0x9c16308c, 0x729c5ba9, 0x62b81619, 0x46dbbfd4, 0x9efb6611,
+    0xbfd9317d, 0x5c6c5dd8, 0x0a9e8244, 0xd720aa0a, 0x366d74da, 0x41b746e9, 0x30132e44, 0x70ba4492,
+    0x4330aace, 0x98182a72, 0x76e67217, 0x54273155, 0x0911ba76, 0x30933022, 0xb144e0a9, 0x0349b16d,
+    0x3091336a, 0xd15104d3, 0xdec7f20e, 0x2d77c7c0, 0xef5ccda2, 0x774fd5dd, 0xe8918762, 0xa61c3b5b,
+    0x3909b576, 0xd47fe381, 0xe7fb9bff, 0xb28e37ad, 0xafc78f2e, 0x77b6a558, 0x7a027d51, 0xf3061af4,
+    0xc826997f, 0xcbf09357, 0xb4270a5e, 0x1843a7f3, 0x6ff545b0, 0x650e0680, 0x8ecd5e41, 0x9fe6b928,
+    0x55a89327, 0xb906408e, 0x7b1f923f, 0x7656980b, 0x8101a6b8, 0xf917457a, 0x98e1a254, 0x47cf5dfd,
+    0x3ceec544, 0x7b1fff8e, 0x592962c6, 0xcfd215fc, 0x58c564d2, 0x631dbbc2, 0x1e9acc25, 0x6993af94,
+    0xf8d21883, 0x31e4af57, 0x498dcc32, 0x31e8622a, 0xc7a0fd2d, 0xe4b2d6f4, 0xc1f52117, 0xf1efb604,
+    0x08fcf0a8, 0x7b843ae1, 0x572cbb78, 0x6dbd735d, 0x696cf8fd, 0x97bf754a, 0xb48b2a1b, 0xb4fb7080,
+    0x7f34265d, 0xa38b59f3, 0xeeb1bfd2, 0x5b1f19e3, 0x4b844f1d, 0x3da2befc, 0x08a5255e, 0xe6ef8b53,
+    0xf28f8fa7, 0x7bc5f26f, 0x72923b10, 0x2832c31c, 0xa11c0e5f, 0xa83b7636, 0xca58c30f, 0xc21c48fb,
+    0x55578773, 0x9b439315, 0xe9693b61, 0xe3d93c72, 0x9605ac3f, 0x307d3e19, 0xd9e008d2, 0xc4c87043,
+    0x5c742457, 0x33d5aa2d, 0xd4090962, 0xc7412d7d, 0x7c39268d, 0x3f40ead1, 0x478bfc70, 0x2bd57294,
+    0xf43df4fe, 0xe6497488, 0x11a754d7, 0x38d6cbe8, 0x7c1c3f86, 0x1616ef83, 0xf60795d0, 0x7506ca63,
+    0x74953a18, 0xea77bf56, 0x617a8789, 0x533875a3, 0x73b733ad, 0x2e6522be, 0xf8fe479a, 0xaa7a2884,
+    0x8bfde5e3, 0xef34a85d, 0x58be194e, 0xa673f2c9, 0x0c4f6f5c, 0x99b8140b, 0xd1a9d781, 0xfe89b16a,
+    0x7e633e2a, 0xf07d02d7, 0xc3c2a191, 0x6a39c9ba, 0x4295f4f8, 0xd4d0f9a8, 0xa6c6e404, 0x0d3da319,
+    0xeb258643, 0x08365015, 0x9f0b6e54, 0x3dd6894f, 0xcdb072d1, 0xb2ff9978, 0x8a5b340b, 0xe78a96c3,
+    0x8dfc0e77, 0xc48a4733, 0x2d388c91, 0xd5df29f1, 0x7a10a30e, 0xbb826ca5, 0xbb215403, 0xf3fce8fb,
+    0xc8b70079, 0xa995b368, 0x16503f90, 0xe87d1889, 0xa6321b9c, 0xdab113fc, 0xf516b785, 0x21c0fe89,
+    0x13fd2f6c, 0xe60390de, 0x66c44d25, 0xd98f4517, 0xe04a529a, 0x7f0c609c, 0x42826381, 0x46982d25,
+    0x6effbe82, 0xf46435ad, 0x6cd58b18, 0x0de182ad, 0x90810e83, 0xab8e1367, 0x7cb777de, 0x2057b3cb,
+    0xd2e56b2f, 0xecf106a8, 0xb24cb95f, 0x375b524f, 0x645ae588, 0xfefd30c1, 0x5b42d794, 0xe8c52e9e,
+    0x31efa574, 0x23843f1b, 0x99da6c9c, 0x3d004d9e, 0x83939a48, 0x8057d926, 0xc14e4c36, 0x3439fe9a,
+    0x208b44c4, 0x13a914a3, 0x7772596e, 0xbaea8da3, 0xa6d95411, 0x58627d96, 0x2a41f282, 0x632f007c,
+    0xb1d502e4, 0xf96b3b44, 0x8f448a30, 0x411d87d8, 0xd5a3e28f, 0xc36b8066, 0xb91fe0e0, 0x7cf019f2,
+    0x4df7a9a7, 0xc27ad714, 0x5cc3c410, 0xf4ad215b, 0x550988c6, 0x6b7bbbd1, 0xc56999a4, 0x12ba9d29,
+    0x0b0e4582, 0xfad05cce, 0x652ed08b, 0x798ece1c, 0x28a22920, 0x28146f1d, 0x135cf9b4, 0x82ea2789,
+    0x9d5d84e5, 0xe7bc6c92, 0x6be986eb, 0x6d63c16e, 0xa69771b1, 0xad78ba41, 0xa745e63e, 0xc776ee08,
+    0xc326a84d, 0xbcb92017, 0x312b0eaa, 0xacc7d48d, 0x332b9d8e, 0xfc0524a9, 0x0b25ec88, 0x0f996462,
+    0xf7014fc1, 0x4ca184d9, 0x2f55948c, 0xd497f0e3, 0xc8cc73bb, 0xeea20d56, 0x7b1c8aa0, 0x8fa7bf26,
+    0xefab8078, 0xf8fa8c8b, 0xb7a0b39f, 0xec3f9ecf, 0x647581ed, 0x671c96ee, 0xb7d94d4f, 0xb04d7557,
+    0xb06351a7, 0xa52be9c9, 0xa94da493, 0xdc161782, 0xce640654, 0xa75f7e94, 0x31abed15, 0x230ebc5c,
+    0xa9efef9b, 0xa9de8457, 0x53d37f98, 0x213ad3c9, 0x87ad0da6, 0xb106e089, 0xe2fea6fb, 0x360a0316,
+    0x2da59881, 0x9efc2c7c, 0xf11ca853, 0x305b7108, 0x8680d5f3, 0x52434e94, 0x499806a5, 0x9bac209c,
+    0x187a1640, 0xcabcd694, 0xff66ad72, 0x89fb87ad, 0x3e40ae8b, 0x71eb93a9, 0xebadf5ca, 0xe05489cf,
+    0x556f0919, 0x4c2e3757, 0x33ada164, 0xf895f764, 0x2c842a74, 0x7433c15b, 0xccfbf1d5, 0xbe60b71b,
+    0x3193f0f0, 0xad5c1bea, 0x96c2e928, 0xfcc5f6e2, 0x925b4dcf, 0xac28c3f1, 0xf8e8646b, 0x048a7cf0,
+    0x4e233752, 0xa8b26581, 0xc7954655, 0x966743a9, 0x152ecab8, 0xc9d13bd7, 0xa196c382, 0x487ebf64,
+    0x66ab0ac1, 0xae28fe1b, 0x558bf1d6, 0xaca490a6, 0x621a6275, 0xa5cff688, 0xc017900a, 0xd386b98a,
+    0x0d4fbb2e, 0x994aa9b3, 0xec19ddc0, 0x700872df, 0x9253e78c, 0x6d490b5b, 0x943f7316, 0xabd5e31b,
+    0xb7c9dfcd, 0x5ebb45e0, 0x9be35663, 0x3ab93a4e, 0xc3b4484d, 0x0467fdd4, 0x47815d55, 0x902f962f,
+    0x17b9ff91, 0x43d7776f, 0xdf656ab3, 0x94f2d09b, 0xe05c1b18, 0x0fd5c591, 0x6517d6db, 0xd9361de5,
+    0x76aa4b0b, 0xd1857add, 0x9bd1cc71, 0x63b7630b, 0xde29982b, 0x8734a522, 0x540b7b39, 0xd28d639d,
+    0x40e264b4, 0xa2ab0edc, 0xa0dfe327, 0xe4b9d7e7, 0x7ec9b923, 0xc2da8bbd, 0x86c0461b, 0x1bedc32f,
+    0xa50693e4, 0xfa1a83c8, 0xe2bfdd52, 0x4b647486, 0xa48a72b2, 0x5b50259b, 0xa620cc4b, 0x617f38c1,
+    0x3fbe09cb, 0x9cff18c0, 0x741c8995, 0x128d542b, 0xa3bcd8bc, 0xc1cb017e, 0x1805e621, 0x1e70aed5,
+    0xa1a1a649, 0x811e9106, 0x32a1948b, 0x4066a25e, 0x2563ebdf, 0x552929ef, 0x3140fe87, 0x8533b8c8,
+    0x87e44559, 0x498bd5e1, 0x1ea2a26b, 0xd78e2d84, 0x7a4968d8, 0xfd4b51b0, 0x541f1d65, 0x9b795e1b,
+    0xddf2d8de, 0x0f3c8e05, 0x5990fa9a, 0x636ac067, 0xee51041f, 0x9c745153, 0x5b8a1cc8, 0x9f810d74,
+    0xcf67eb9c, 0xb14415f0, 0xd450a504, 0x2b9d116c, 0xfc187112, 0xfeda4435, 0x7d07386c, 0x328083f3,
+    0xb39d8f44, 0x0e525d41, 0x1f71ab73, 0x800b3845, 0x2d3c75b3, 0x390743c3, 0x61e209d9, 0x0e92724d,
+    0xcc9b4085, 0x41d5509c, 0x461a2827, 0x0d8dd5ba, 0x5a4f6565, 0x18a07958, 0xa2930397, 0x3becfb8b,
+    0xf94d4d5c, 0xe5ca1a36, 0xe4590c77, 0x17583877, 0x93e6d642, 0xb93c5431, 0xf96cfa3f, 0xa3e37c5f,
+    0xf87583de, 0x7e2a67c8, 0x3682a5f2, 0x8ab48beb, 0xf2de64ec, 0x6dbcb7a2, 0x082a3330, 0x30e518eb,
+    0xf7478421, 0xa7633ea0, 0x0e8a9378, 0xd9656192, 0xfb2aea0a, 0xd6833d6f, 0x126c4770, 0xc01b7115,
+    0xb880f1a4, 0x4b185089, 0x65d6d1c8, 0xb68f4c17, 0xcc37636b, 0x39ebe1d8, 0x4830c333, 0x3dbae8c9,
+    0x45e9635d, 0xca3c88e8, 0xad4153e4, 0xf9da4bd4, 0x03ce1274, 0xa424ec7f, 0x6965718a, 0xdbccad1f,
+    0x4468d539, 0x7293cc15, 0xaa664ca8, 0x7cc554b3, 0x0a22fe7c, 0x41b5acc0, 0xde8df41a, 0xf21bb966,
+    0x7696b1a6, 0x1a0b84b6, 0x4bf5b75c, 0xae8fcb4e, 0xc131d197, 0x09580352, 0x0d1830cc, 0x29ba1571,
+    0xa06a3b36, 0x2db3d01b, 0x140427b1, 0x6900f7b8, 0x7e638a9e, 0xa341e8bd, 0x64642233, 0xeb50b41f,
+    0xc2e25258, 0x0dcc3598, 0xf2c4f68c, 0xe0640eca, 0x591d1468, 0x4c2a6de5, 0xae54ff83, 0xa90393a3,
+    0x1d5fb7b3, 0x0200c5ab, 0x6438fd49, 0x0ac9e78d, 0x59b3bf5e, 0x7178dd3f, 0xe4632133, 0xa00bcf8c,
+    0xe39bcaad, 0x944f0382, 0x6343e916, 0x10cb5e28, 0xa2b26abe, 0x6cad276f, 0xecd0c23c, 0x004c5daa,
+    0x561d43e3, 0x41e8f00e, 0x1fd20037, 0x6d726995, 0x872cf859, 0x26457ec4, 0x412b6d5c, 0xf9eb66db,
+    0x62ed59a3, 0x47457a6b, 0x53c23bf7, 0x77d83a9e, 0xd6d4c862, 0xa1cffc5c, 0x2d5b6dfa, 0x7184a4c4,
+    0xebd85fa0, 0xa2387f85, 0xf6ae7ada, 0x06a0f817, 0xb2d73d17, 0x5aaadf4d, 0xbfe678d6, 0x1abde4a1,
+    0x3ee306e4, 0xf005c262, 0x801d1111, 0xca768d70, 0x930694c6, 0x144c35fe, 0x757cf7ee, 0x1a28202e,
+    0x000fc027, 0xd4e1462e, 0x9fb147ab, 0xcd07c53a, 0x3149a0ff, 0x7427fafe, 0x323086b8, 0x8bb430bb,
+    0xa0bf69e3, 0x912e942b, 0x0f739c1b, 0xe5389d4c, 0xb52e00f2, 0xc30c6099, 0x184f1356, 0xc95ddf16,
+    0x2c57566d, 0xdacb09f5, 0x560a06a2, 0x5a953036, 0x9cb1d506, 0x8df79712, 0x5a826be5, 0x11a28b52,
+    0x58527040, 0xba185640, 0xe5dfe577, 0x3efa0bd3, 0x0515a4db, 0xf6cf920d, 0xf61ee587, 0x293a1d4f,
+    0xe27a10f6, 0x228118d0, 0xa486fe38, 0x3b9da697, 0xc655533b, 0xc01c5858, 0xa430e2be, 0x482028ac,
+    0x63a8005e, 0x0be61443, 0xa62a0797, 0x7e07fd25, 0x650d98bc, 0x11e7a4f5, 0x1024603d, 0x7b627432,
+    0x21193d28, 0xedce6790, 0x8bd93192, 0xf2ee53a4, 0xdc8248ba, 0xfec1d8a5, 0xfbbc26d0, 0xb279282a,
+    0x329cdfc8, 0x433429e7, 0x29734d65, 0xaa2d2d44, 0xb823ee3a, 0x28acbd85, 0xc5fb3a48, 0xd7418ad4,
+    0x726f318e, 0xa8e67409, 0xaa9b7206, 0xb451bb12, 0xfc80a826, 0x696f8a28, 0xa18ab6c4, 0x83ebd8d3,
+    0x00000000,
+    0x1b6d408f, 0x432e4750, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000001237940039285380274899124224 */
+  { 0x00000000,
+    0x39ed285f, 0x72611c49, 0x93d18c94, 0x27ef7362, 0x9c3281e8, 0x0125cf7d, 0x8acd782c, 0x4a7d3a3c,
+    0x0659bbf3, 0xc8c85473, 0xa1645563, 0x650beef1, 0xcdd9a6c0, 0xd53552e4, 0xa13b221c, 0xcdf6a2e7,
+    0xe23d3521, 0x435bb247, 0xd443d931, 0x928c7576, 0x002a1127, 0xf711efb1, 0x70d32104, 0xf2e49b5d,
+    0x92c57c15, 0x8baa5247, 0xacead4db, 0x0ddbe2bb, 0x0d1c9cfc, 0x99a8b386, 0x320a385c, 0xa429affd,
+    0xe3bfc2de, 0x1c9d075a, 0xd8c22ade, 0xce2e7d22, 0xbb1f9836, 0x51e21669, 0x18f9b9c9, 0x38ba31f8,
+    0xe359cbb9, 0x98731897, 0xea1fd18d, 0xffba3459, 0xdd918663, 0x20e75989, 0xfe8ab76a, 0x8de9720f,
+    0xdba62ecc, 0xb4740024, 0x46579ac0, 0x7ce3f828, 0xefd7042f, 0x900c03c4, 0xb2aec1d9, 0x2a64e69c,
+    0x0e53c09a, 0x93f42209, 0xc351c23d, 0x040cf272, 0xb76be903, 0xcb77beaf, 0xb82e66f4, 0xc40682b9,
+    0x91c3586f, 0xf1483f96, 0x86189cfa, 0xc5608b6f, 0x4c216916, 0xe8edd5dd, 0x0426ed50, 0x442d4999,
+    0x1917dd84, 0xf5cf5245, 0x2de6a02f, 0x3b9bc408, 0x12b0d3e5, 0x03c90f62, 0xe2e85fe9, 0x8951b0ae,
+    0x1ba3b217, 0xf3337926, 0x937d3a69, 0x50cef06d, 0x29248653, 0xdeb2663b, 0xd707c84e, 0x5834b85c,
+    0xb931ec5f, 0x5ea91341, 0x6c2d95b1, 0x44601195, 0x7cdb2a89, 0x5c217b7e, 0x2c90dd81, 0x3072a094,
+    0x362cadcd, 0x0bccbf49, 0x67b5f8bd, 0x86e54c80, 0xa037e6e8, 0xcc06794a, 0xe9613917, 0xc547fb43,
+    0x5e3dc41a, 0xa02d2e11, 0xb105fe95, 0x355d80e1, 0x3ac58eb2, 0x611edcca, 0x4cbd4864, 0xa962b25a,
+    0x94914f9d, 0xbeed706f, 0x0d75c927, 0x713ee950, 0x936d85c8, 0xa40dcade, 0x13df8151, 0x7b7b5667,
+    0x062eb2a0, 0x58de0bb4, 0xb062de19, 0x60a17165, 0x3e6d7f43, 0x93632abf, 0x980eea5e, 0x6e37cb94,
+    0x1e9c0f7b, 0x31bb3366, 0xee402bed, 0x5cca02f4, 0xfa302beb, 0x61647129, 0x47826565, 0x7d83d510,
+    0xea0c523f, 0x75ad4f2d, 0xdd41545d, 0xff21e78f, 0x36122317, 0xe4a9c3c9, 0x69707214, 0x39368c9f,
+    0x0f18f1e5, 0xf6f24ea6, 0x6af1ba9f, 0x221f6ae2, 0xd251e97a, 0xb5f51747, 0x896a1193, 0xfd9d45ca,
+    0x64c0bdf4, 0x0d7b03f0, 0x64e5b089, 0x44b07024, 0x788b4835, 0x343ef097, 0x8b844031, 0x5d2efae9,
+    0x47ff1c2c, 0x04a0f148, 0xa35a73ed, 0xa0677112, 0xdec68cad, 0xd805d22e, 0x9ff8dc42, 0x6f087fb7,
+    0xb4e58043, 0x7613b717, 0x9f205e9b, 0x0e31cf20, 0x17fa527e, 0x0a1d5c82, 0x2b32a8b4, 0x5c31d620,
+    0xb468edb9, 0x109e73b6, 0x8321ebc1, 0xd6691ec9, 0x8c79fc4b, 0xebc846ef, 0xca7b342f, 0x39cfbc6c,
+    0xd2944aa4, 0xc8f7bc24, 0x8c66962c, 0xc3cf7766, 0x5ef0e4c4, 0x6c584784, 0x8d4c2799, 0xf5ff6d66,
+    0x88a05d1a, 0x689f709d, 0x92b9d907, 0xdef80a61, 0x958dd47d, 0x763b4dc4, 0xb213de7e, 0xa4a54b6b,
+    0x26dfc33e, 0x07cd9637, 0x38e1a19d, 0x4147e849, 0x673dfd72, 0x4b9d2dc5, 0x1f827721, 0x61d14e84,
+    0x992fc939, 0xe66d0776, 0x24b56418, 0x916a0713, 0xc82022ce, 0x01a04998, 0x9c922eb4, 0x7fa72d70,
+    0xe50832a2, 0x253e0dd8, 0x5b3bfe5c, 0xe6a73201, 0x533e3c58, 0xbf0888ca, 0xa7820622, 0xa1f64265,
+    0x501bebf0, 0x840ff638, 0xd0736b79, 0xd6fc116f, 0x526e9844, 0x26fa97ec, 0x047fae2c, 0xe0902850,
+    0xec886033, 0xd0bd8aa2, 0x3b79dd9d, 0x789b8832, 0xb5a6c897, 0xdb54b144, 0x5e97c6e5, 0xcba6d5e3,
+    0xa3905f37, 0x1015eb5b, 0xabb9b47c, 0x84b2e2ea, 0x2b3420d1, 0x9a2482e5, 0x2ff93dfb, 0x3188f4eb,
+    0xf050a0cc, 0x63e111a3, 0x35b16b62, 0x1e798274, 0x2e583986, 0xe3e699b9, 0xe39d7229, 0x5e548c98,
+    0x004cfd47, 0xa77aa4ff, 0xa7c98f6f, 0xae4de536, 0x25ca91bb, 0x7dbb342c, 0x84f840ec, 0xc4349220,
+    0xba162645, 0x170bfd80, 0x988933da, 0x8580add7, 0xd9a052e1, 0xe8877635, 0xcf9254b0, 0xddb99e94,
+    0x474b685c, 0xc93b28cd, 0x09b8d3c4, 0x4bb458bc, 0x30c34426, 0xa06751fa, 0xd3ca90ce, 0xefea18fb,
+    0xafb39d54, 0x12dd645a, 0xcf8b6104, 0xebffe769, 0xe2a7d556, 0x6aa2d690, 0xc556acff, 0xb3fa4eb5,
+    0xb23cfd72, 0x48f940dd, 0x0dcff4cd, 0x605b511a, 0x2f6bcc94, 0x7ff6a3db, 0x2bb3499f, 0x74f2305d,
+    0x1fbc2aac, 0x12836efb, 0x8d239bb0, 0xa9210c0d, 0x1863813e, 0x447ed742, 0xcbad780a, 0xb3593cd7,
+    0xc63bdd53, 0xf2160e1e, 0x110357a6, 0xa4123dbc, 0xf04e82b7, 0x8b885fee, 0xf3a989c7, 0x72ac7f03,
+    0x8c83931e, 0x1a2c7307, 0xa1c53ad8, 0x0e01df59, 0x91f82025, 0x3be233c9, 0xed0796ee, 0x35bbac45,
+    0x3384b698, 0xf6761b80, 0x40c9642a, 0xd0f9006f, 0x0253baed, 0x90e1237a, 0xd2a5de31, 0xae02f70e,
+    0xa7871318, 0x69839ced, 0x5244e275, 0xc918f261, 0xf6afaa97, 0x56bdfc1a, 0x85d864ce, 0xfa293201,
+    0x6aa78f9d, 0x9e0a2488, 0x803d8fc3, 0x1684e9d6, 0xc037d4bd, 0xfe5c9643, 0x4a27a967, 0x821516c0,
+    0x8d544610, 0xfd1f4dfb, 0x2644f0a7, 0xf8b34806, 0x6d73ed52, 0xf3018d0d, 0xd028d317, 0x28077f94,
+    0xc726101d, 0x8f6c822b, 0x3c34de5b, 0x0a912646, 0x7c55e75d, 0xc5ddbac1, 0x75e170bc, 0x911c0f4c,
+    0xef77e226, 0x79a745b4, 0xfc9e820b, 0xc9423408, 0x57257afc, 0x16ac982d, 0x7305f6ce, 0x3bc74f65,
+    0x60642d1b, 0x74f755e5, 0xb544e232, 0x2392b541, 0x9f68b981, 0x3790ad74, 0xda4a978a, 0x3bd3a867,
+    0x8f514ef4, 0xac151cc2, 0x88502f91, 0x7b3cc636, 0x19be75a1, 0x3153dc21, 0xcdba6827, 0x1a8bf8ae,
+    0xb0eea187, 0xbbc62022, 0xa9c46295, 0x41228b8f, 0x7fd2dcf7, 0x0224d396, 0x748a0061, 0x1c7cbf02,
+    0x117fd723, 0x33028bfd, 0x91569f62, 0x76dffe61, 0x84b81908, 0x7e7b6cea, 0x7c7b019e, 0xe2e0e867,
+    0x4914b7c2, 0x87d30960, 0xec69c92f, 0xf1d40abf, 0xd80e8d1a, 0x41693a6b, 0x4f56c641, 0xa8b01b72,
+    0xaee76c25, 0x8053b89a, 0x2ac6e12f, 0x3de3d8ab, 0x4fd2d131, 0x27c1e1b6, 0x458a37ca, 0x9f2588ee,
+    0xe1b20ddb, 0x5fe5659c, 0xb43d4394, 0x1c4641cc, 0xcd9b4093, 0xd1f388b7, 0x055ee438, 0xc05b5c1e,
+    0xc5a48bc2, 0x77c99cac, 0x80a1a6ad, 0x555df217, 0x7dbc5958, 0x349ac9f1, 0x393d6f71, 0xf970b45f,
+    0xea3927b8, 0x14ec5bc9, 0x4c81e279, 0x83b54e3d, 0xb704403a, 0xb1fe501a, 0x1222f39f, 0x26b63d40,
+    0x623b6866, 0xf8eca06b, 0x98c0db73, 0x628cc119, 0x9fdea341, 0xd9784afd, 0x9c517e0d, 0xe6c4432a,
+    0xf2e5e468, 0xf6d7db90, 0x8986f049, 0x8ab86b99, 0xfc679bc6, 0x10522be9, 0xcc3ae822, 0xd5ce124f,
+    0xb6244358, 0x87cc9b61, 0x618a1664, 0x2e76f018, 0x8496edc5, 0x1777cb4d, 0xa0eec975, 0xd7730006,
+    0x52320ec2, 0x3b6d77e4, 0x36262edc, 0x6595cbf4, 0x1682a6b7, 0xdf6285af, 0xb86c83a1, 0x95dfec82,
+    0x16b60f56, 0x7104ee4a, 0xf8ca7c91, 0x0d3141ff, 0x0b3ca657, 0x6a9d1dce, 0xd328f566, 0x5142df91,
+    0x3ded843c, 0x661db91b, 0x07240f5c, 0xa7b6b553, 0xd7bf07d9, 0x88b31830, 0x2811f170, 0x914bd07a,
+    0xb0bad889, 0xfb93bbfc, 0x045cb26b, 0x152faf2d, 0x56459f38, 0x364be992, 0xfd8ca398, 0xfa7a71d8,
+    0x0f3cb704, 0x93ce53b7, 0x69fb33bb, 0xc7e6e2ec, 0xe28c0417, 0xcde73e3f, 0x4855d505, 0xed651c13,
+    0x3b8fc071, 0x6850d770, 0xeda0119b, 0xf594d8d5, 0x2e5adf9c, 0x8b06addf, 0x1d72ff55, 0xd8d0b0cb,
+    0xe2c3d6b4, 0x6b6e36cb, 0x8686821f, 0x5c8a2113, 0xd70173b7, 0xfba7e849, 0x806e71df, 0x984b171e,
+    0x340c1a8c, 0x96b9e482, 0x5cfe1826, 0x5af9d04d, 0x3bbc4150, 0xa770c7bd, 0x80355e17, 0xb6a3581e,
+    0x65519897, 0x5e0efa4d, 0xa8bbd941, 0x58b8c62b, 0xebe0df82, 0x57e4b646, 0xd4e13ddf, 0x04aeee20,
+    0x75da2704, 0x3720a0b7, 0x6df5b23d, 0xad29bd11, 0x00bc418c, 0xf917da90, 0x781b2aab, 0x919a3409,
+    0x84679b85, 0xeba11590, 0x7733c0c8, 0x2ef8382c, 0x8326f349, 0x4f7db78c, 0x2c1e709b, 0xcbcaea0f,
+    0x70ae66ca, 0x8f43b008, 0x67d31560, 0x195c842e, 0xd14ab498, 0x9114c865, 0xa47ab1b5, 0x64ccff3c,
+    0xe17a1361, 0xac88c5a5, 0xb630547f, 0x26eeee80, 0xed51b6d1, 0x51f5b0b1, 0x772350cb, 0xeb4f8c5e,
+    0xc662fe3e, 0x65364d4a, 0xb6c48526, 0xf003b6bb, 0xe3d997eb, 0x790dd007, 0x7e0da09d, 0x4a7c060b,
+    0x77634e31, 0x9b924e50, 0x021a635b, 0xd70cc640, 0x16e63f8b, 0xd31386be, 0x0777800f, 0x76d39b12,
+    0xe772382d, 0xa7b7de69, 0x2dc849f7, 0x68645406, 0x732741fb, 0xe65ec375, 0x313bf756, 0x9b29a3ab,
+    0xad7326b9, 0xcc70d344, 0x3649d3b7, 0xdd3410f4, 0x3a285b17, 0x8d143c3f, 0x55cd450e, 0x32a1f98f,
+    0x73dc7523, 0xacce3191, 0xc78393e3, 0x71af71ef, 0xd383d2ec, 0x50eb7be8, 0x4a365465, 0x7a374644,
+    0xdef437b5, 0x48f0adeb, 0x80932600, 0x39593c1e, 0x2c5391bb, 0xaa5a73fa, 0x7f7c6e24, 0x691964a1,
+    0x5398ccf5, 0x6190f455, 0xe935bfd8, 0x4e600690, 0x5ebcd73f, 0x012423d2, 0x295b04d1, 0x3b8b7cf7,
+    0x7b79b1cd, 0x89d6a459, 0x9835c184, 0x442532bc, 0x418ff6a0, 0xea74c39d, 0xd76b68e9, 0xd2baf065,
+    0xa2113a88, 0xd484db14, 0x2df1b399, 0xd1ee5d07, 0x8a046b06, 0x0b9d606c, 0xbf929411, 0x1f36ac04,
+    0x8115a010, 0xf006f227, 0x6c83421f, 0xdea42cc6, 0x583d0620, 0x371ad312, 0xc7a65cab, 0x4e2b8f00,
+    0x3324bd74, 0xd2375230, 0x3d7ac1ca, 0x4b62f301, 0xee3ee323, 0x5ddec3dc, 0x6f5931ef, 0xbdda41b2,
+    0x060b0d37, 0xfa7a27f1, 0xaf54216a, 0x3ac391b3, 0x84ebfe98, 0xd9cdc520, 0xdaeda433, 0x8beaaa07,
+    0x40643c72, 0xb87f7149, 0x0531dc4c, 0x2a388ee2, 0xa94df4dc, 0x7c21ab51, 0x74603106, 0x554bda53,
+    0xab4986b0, 0xf286d893, 0x597895d4, 0xcbe5b4e2, 0xdad57428, 0x082f4a90, 0xd565bef8, 0xf2e7f04d,
+    0x4260828b, 0x8702666f, 0x5d157bc2, 0x5c5adcf7, 0x9313bd0d, 0x5dfc208b, 0x361e571f, 0x6e50de27,
+    0x848f022e, 0x229b8b3c, 0x729e18e2, 0xa8b19a09, 0xfca61cab, 0xc7a74184, 0x61eca758, 0x04c1d51d,
+    0xa71a1b41, 0xd027b551, 0x763adca0, 0xc4b7c3af, 0xd742125a, 0x67c5629b, 0xc8dbfc13, 0x7e976fd7,
+    0x30d0ac23, 0x75cbcf65, 0x69aa31c2, 0x4db61e59, 0x2d3327bb, 0x37a15bfb, 0x251edd22, 0x1e63e50e,
+    0x6e9fee08, 0xfe084ea1, 0x5900bf7e, 0x0c307aa6, 0x95b52556, 0x0a87e4f7, 0xe545ac37, 0x069e0b1a,
+    0x04b465de, 0x674fd0d2, 0xc3bda94f, 0xc9379826, 0x9cd3558d, 0xb0e7f851, 0xdf5eaa3c, 0x15cf4b69,
+    0xeb336455, 0xc74bb0d8, 0x94b7f61b, 0x17926fd3, 0x8a5b4601, 0x76df11ab, 0x6cb0c71c, 0x654cff78,
+    0xefe685ad, 0xc22545a6, 0x0a4c5d37, 0xaf8d6152, 0x59d1b3fb, 0x94855b51, 0x4ed5877e, 0x93e26ba0,
+    0x1b32e9c0, 0xb0f70fad, 0x6aeda780, 0xe45e5c2e, 0x8241d44a, 0x460b1a17, 0x8e0c09f7, 0xf8fc3a6f,
+    0x92ea5dcb, 0x3fb844af, 0x76475fad, 0x85faf701, 0xbe52a3d3, 0x29d29983, 0xf8ac61fd, 0x8b310dca,
+    0x1917b96e, 0xb3067a31, 0x5d00677c, 0x6a2ec6a3, 0x9baa10f8, 0x77a539cb, 0xc2975a3b, 0x93c65dae,
+    0x32804314, 0x9bfb1763, 0xbdee23bf, 0xf0f89407, 0x2af9bc6b, 0x81a9e3fc, 0xf1866f29, 0xb2c647c6,
+    0xaa2271f9, 0xb879f76a, 0x88e7dfd5, 0xc8f33dd4, 0xdb9d9b2c, 0xc43250f5, 0x41cf59e0, 0x4990b6c8,
+    0x0b1a31b7, 0x8826be71, 0xcb0b8be5, 0xab19958d, 0x82a00b9d, 0x2ae2b2a1, 0xb12639d8, 0x6c95331b,
+    0x2d89a69c, 0x88841bff, 0x52668768, 0x48f4d631, 0x537ca30f, 0xd50e75bd, 0x7b21e0e2, 0x870024fc,
+    0x82b7f735, 0x2d173ff8, 0x27a40206, 0x4ac54e67, 0x31956df3, 0xf999a7c9, 0x65f22065, 0x8ef4c304,
+    0x880f690d, 0x878417f5, 0x912933e0, 0x25657bc1, 0x078cec2f, 0x010cc0eb, 0xc87d986a, 0x7c61afee,
+    0xa4f7eb21, 0xf22e945a, 0x30fcd2d5, 0x5fcc8657, 0x3ae8bfd3, 0x47aeaa52, 0xf9458ee7, 0x5eaaf90d,
+    0x0adadfe5, 0x7b73385e, 0xbc87d58b, 0xe9ad066f, 0x874989fc, 0xecca08cd, 0x02c21b6f, 0xecaec3e4,
+    0xb313bad4, 0x27e38317, 0x9a350f5f, 0x1eb21abe, 0x758d165d, 0xb998187c, 0x5c96c137, 0x34cb13d3,
+    0xbabd0cf3, 0x5fa6b81d, 0xa175527d, 0x8858c5cb, 0x94b87c0c, 0xb232c29f, 0xb5bc497e, 0xdefea646,
+    0x7ac96c17, 0xb033823a, 0x1f0dc54e, 0xea23c0f9, 0xa45ec782, 0xfbaabe98, 0x3ac960bf, 0x75b68ee9,
+    0x9f4b4fd9, 0x39bff796, 0x859d5f0b, 0xb520a82e, 0x933b8620, 0x3547a626, 0x9ac97f89, 0xf970eb92,
+    0xd1336120, 0x0db6ab6a, 0x9543e400, 0xb6533fda, 0x0519fbbc, 0x99dacb00, 0xd428adf3, 0xb3b9ead7,
+    0x18700945, 0x9551b364, 0xbae7455e, 0xc26fb859, 0xea7b727c, 0x9ff9632d, 0x2b0d453d, 0xbe489fca,
+    0xc1bc4587, 0xe5a4300d, 0xdaca73b7, 0xf17cb1e7, 0xb4a7ab96, 0x05de2d22, 0x6e916c80, 0x2359c461,
+    0x857be105, 0xa708ea52, 0xcb8e6566, 0x349d54bc, 0x2155b32a, 0xd9046db5, 0x455c3444, 0xe8ec6286,
+    0xa75b0133, 0x6df94571, 0xf5dec516, 0x4b6524de, 0x7c31dc5b, 0x7c4dafe0, 0xfdc309e9, 0xe2f49109,
+    0x9a5a6811, 0xb5593ede, 0xa5ea09c5, 0x125ca0e2, 0x3d5120a1, 0x4e9ed5a4, 0xe359d12d, 0x9e345abc,
+    0x6f5251bd, 0x2889b72d, 0x4517e25d, 0xd95735cb, 0x7e2941f5, 0xf4fb86c7, 0xc71a31ba, 0xa129c2ad,
+    0xb3852815, 0xcba07d58, 0x5b163729, 0x412054f6, 0xfb76f20d, 0x1d8f3ac0, 0x6901cb3f, 0x519adbdf,
+    0xbdeafbde, 0x632b6a55, 0xe366e715, 0x527deaf9, 0xbdddfa53, 0x3a6c83d6, 0x1a31f07e, 0x206f0eb4,
+    0x90a1f69c, 0x4df2c5c7, 0x90b933e5, 0x44086065, 0xfa3f6d2a, 0xa79193a8, 0x406be70c, 0x949f6217,
+    0x03424d3e, 0x35e90776, 0xfffbb4d1, 0xc8974d5e, 0xd3e22373, 0x7d6c8c26, 0x76a964b9, 0xa6f9f1e3,
+    0xc19aa9a9, 0xd6c7c511, 0x47b0a8c9, 0x0d728291, 0x0a2d0bc4, 0x059935d6, 0x655dbdda, 0x21147847,
+    0xcb044355, 0x9d3fce33, 0x35fa9643, 0x6ae08844, 0x21678410, 0x25f0e806, 0x306d77c3, 0xe060d820,
+    0xe9417899, 0x0e7c25a0, 0x76d008a4, 0x65aeb1b5, 0xf3073ddb, 0x3031212a, 0xe96c02c5, 0x185b6efe,
+    0x592f5ec8, 0x29438282, 0x86ab5208, 0x28ff3acd, 0xe773099b, 0xf70347a2, 0xc7e737ca, 0x4d4bf3fc,
+    0x36634f01, 0x2662812c, 0x817450ba, 0xbf1b53e6, 0xe6b47be1, 0xb4aa49a6, 0x41edda6d, 0xd1d2c5b2,
+    0xaed87cb4, 0xa9b8967b, 0x50c275a9, 0x647553b4, 0x44e459f7, 0x3965a114, 0x9ee7afbb, 0x01078f47,
+    0xc55ad2e5, 0xa00f048f, 0x94a2ed3a, 0xa362484c, 0xa15724b5, 0xf4445879, 0x2e6bc21d, 0x81f2231d,
+    0x00000000,
+    0x0db6a047, 0xa19723a8, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000618970019642690137449562112 */
+  { 0x00000000,
+    0x448473b4, 0x75afc5b8, 0x5b8c74a6, 0xae073c42, 0xe37f4763, 0x92644e42, 0x55368481, 0xd21bc4a3,
+    0xe2259003, 0x681eb9a2, 0x50a5ea5a, 0xeb64d6ab, 0xbb079d8c, 0xd7908521, 0x407cbe10, 0x44b9be79,
+    0x4e814529, 0xa807bb56, 0x29a61a11, 0x461efdd8, 0xc64d49d8, 0x596ab83e, 0x96801a99, 0xf7f79568,
+    0x3bcb892f, 0x4bf1f95f, 0x5479150e, 0x680697d0, 0x072ded65, 0xd32c0cc4, 0x58e7d6a8, 0xee08f71f,
+    0xf679f10e, 0x38d22c37, 0xa11fab01, 0x0e1ce57b, 0xad3e26f5, 0x1f255356, 0xe4e4632e, 0xc3e37edd,
+    0x8d69960d, 0x35dbecd8, 0xd790326c, 0x2c1b59f9, 0xd17cd74e, 0xe4ee3100, 0x268bf473, 0xc079d6a1,
+    0x044f4dbb, 0xc24b7c65, 0x22ab6221, 0xbd4b7621, 0x4aab7ce1, 0x760f7c7b, 0x783e962f, 0x2b621ea3,
+    0xb98c9d06, 0x8952efd0, 0x7b8ca7d3, 0x6aed6acf, 0x515d48b0, 0xc1a07883, 0x61bac69d, 0xe7d06378,
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+    0x3a265d1e, 0x20e72d1f, 0x9888d1ca, 0xcba8a383, 0x376827d8, 0x90218f53, 0xdaac4b61, 0x2995fe7e,
+    0xa4e71343, 0x3b5698e0, 0x9d261dc5, 0x478db750, 0xdd4b1711, 0xf9e2aeda, 0x030a138f, 0x7cd3774c,
+    0x18124528, 0x460f5632, 0xedbf6350, 0x941b25d7, 0xe75f5bc4, 0x586cc0e5, 0x38d964e8, 0x2ea101f8,
+    0x0976b0ab, 0xd7d84c24, 0x718f79c9, 0x98a36d42, 0x2bbad3ed, 0x5395715f, 0x1b4cc733, 0x88b81737,
+    0x78fb2c71, 0xd4ee28dd, 0x3e3d72a5, 0x77a8797d, 0x0bdb68fa, 0x995d745d, 0x64334cf0, 0xf1ebe543,
+    0x52b2ae94, 0x5be98820, 0xb57b509d, 0x5abb6030, 0x90db29c6, 0xa2407582, 0xb0c64d16, 0xdca22c97,
+    0x0d5c5a43, 0x8bd56fdb, 0x3aa1eb6a, 0x62f7a5a9, 0xd451745a, 0x5adddb80, 0x6cd0e0d3, 0xd3b367dd,
+    0x67e2abe1, 0x339370c9, 0x4dd87fdf, 0x708650da, 0x08f7d3fe, 0xad39a7c6, 0x074ace3c, 0x0e1d7e4a,
+    0xa0bfb252, 0x443019d1, 0x4d46c819, 0x3a76e122, 0x64856cb7, 0xfddce7d2, 0x05f14116, 0xac043e08,
+    0x1df28f5b, 0x43f0f326, 0xa5b537f8, 0xedef4fe5, 0x1f4babc8, 0x430b594a, 0x185c5788, 0x9c965428,
+    0x429c68a0, 0xac145ec6, 0x7175d2d1, 0xf1c496f1, 0x413dcf0d, 0x1ec986f9, 0x2da01f7c, 0x6043a77f,
+    0xdd651192, 0x3a5218f0, 0xf1facb51, 0xcd1654e0, 0x7a161db4, 0x63efc0e2, 0xa05421c0, 0x2ef95950,
+    0xd9dfdfc6, 0x2e0cb8e7, 0x4ef78585, 0x511ad94a, 0xc75e850e, 0x5bbf4c46, 0x23a4cc7b, 0x2b0eaba9,
+    0x5d27d34f, 0x0e30cca4, 0xef41157b, 0x747cf76f, 0x4832a8e1, 0x6dbd4f39, 0xb5e298ec, 0x29ada552,
+    0xbb86677b, 0x45ec24a3, 0x647c43ef, 0xcf499957, 0xdefb1113, 0xa3e994cd, 0x1c4a479a, 0x31e5e9d7,
+    0x891ebaf0, 0xa2aa0960, 0x0d6a62a8, 0x2393a9d8, 0x8f152217, 0x3e3e4219, 0x7b1bf17b, 0x31597890,
+    0x93ca79fe, 0xf9a6200c, 0xf8c9840e, 0xa99a48df, 0xe2e91c0d, 0x7ec732c7, 0xd9e74dc7, 0xbcacb65a,
+    0x1a386598, 0x417179de, 0x8c771138, 0x070d8795, 0x2e6f4e8b, 0x669c77cb, 0x06a44fe0, 0x55621e73,
+    0x7fc8fa27, 0x2f6d2e30, 0x3f52fb37, 0x655aab3f, 0xbcafee75, 0x460df955, 0x5187f98e, 0x5d88b937,
+    0x8ed27ecd, 0xb553f922, 0x5e8ad505, 0xc1d54268, 0xd3593679, 0xeb9651b5, 0x324f9781, 0x0b56aa96,
+    0x215d1f04, 0x2e2725c0, 0xe430becd, 0x62e7c8b9, 0x081b3826, 0xf1116d4a, 0x1389eaca, 0xec65c76c,
+    0x541f0233, 0x16f773b7, 0x2dcb1532, 0x5be58897, 0x44822b72, 0xdcf28e8e, 0x84b00d7f, 0x67505431,
+    0x911035df, 0x1d8ca52b, 0x6e505cbd, 0x919cb35b, 0x1eccd35c, 0xb29e6cf9, 0x1d1961af, 0x5368395e,
+    0x12cbe118, 0xb42463c4, 0x838fecd9, 0x307c3f51, 0xd55b6dc9, 0x9c53191a, 0xb739b4a7, 0x2e9f434a,
+    0x0f336d90, 0x99bbf404, 0x20430a8b, 0xb8ae3980, 0xd1e6dd05, 0x42028e16, 0xcab75631, 0x8e908094,
+    0x9de50ba6, 0x94b5d73d, 0x6eab415d, 0x18342cf6, 0x128024c4, 0x6d7717a2, 0xe7d6ac40, 0x4cdc96f3,
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+    0x102cc6d2, 0x46b3a977, 0xf1b512ef, 0xe8f1cd44, 0x39210780, 0xf64e86d9, 0xcea00342, 0xd501d6ed,
+    0x582c61ed, 0xe8193e83, 0x105a3b4d, 0x82f33019, 0xc5ff9e26, 0xd3a3bc82, 0x57c2b1b3, 0x48a20ae7,
+    0x1fad3f18, 0xe113f3e1, 0xf918b066, 0x9051d35e, 0x9002dd2d, 0x9e112d5c, 0xa6a72498, 0xeb5a7d5f,
+    0xb593cce7, 0x3a1b0b39, 0xa104b064, 0x09e3de2b, 0xca24dcb3, 0xeea178aa, 0xc534be04, 0xe4c014f4,
+    0xaab3c16f, 0x1270d4a1, 0xa7b9e51a, 0xb4f10768, 0x258201d8, 0x6f3e8642, 0x239dae86, 0x94b22a85,
+    0xd3d1c375, 0x2e592ea3, 0x0bf3c013, 0x7f38f6ae, 0xc9043180, 0xf1a55999, 0x6a80c82e, 0xc7c9c42e,
+    0x1bb73789, 0xef3d8ef2, 0x36023ab4, 0x1ca97af0, 0x8ae666c8, 0x177a2f56, 0xaba57ea2, 0x8138f142,
+    0x106d57e6, 0x91751c6a, 0xa5a36fee, 0xadee806e, 0x9e82dbac, 0x7e023b1c, 0xff6fa9cb, 0xa557b4ca,
+    0x91b2829d, 0x7c35bf00, 0xd5322aa8, 0xd21d5498, 0x4d4068c0, 0x3af98572, 0x63c2a8fc, 0x1bbb2a11,
+    0x54d06d77, 0xa7a40d8b, 0x7603f432, 0x71cb5d38, 0xbe03b3af, 0x0f55babf, 0x41fdf38f, 0x73a21262,
+    0x3f712e53, 0x1a3d7b5e, 0x8ad2ca36, 0x5707d8de, 0xc2efe0c9, 0x841cfdfd, 0xe1054f83, 0xcfa35d5b,
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+    0x7ce965ab, 0x77f360d3, 0x163db0a9, 0x080f9fee, 0xf72e53fb, 0x7967c3fe, 0x369f797f, 0x9bb01736,
+    0x1ba4fcda, 0xf9c218cb, 0x76f4ec71, 0x8a294eef, 0xb19f927e, 0xaa6af222, 0x457fa754, 0xf3594316,
+    0xfda2a3f6, 0x0e832210, 0xe426a02c, 0xb1ec317b, 0x90a2dc2f, 0xadc0c3b4, 0x368f3e7a, 0x0c8211c1,
+    0x246c2e73, 0x85f24fd1, 0x392ac69c, 0x9ab84bcb, 0x0b3bee75, 0x96f2afd2, 0xe1f8dd00, 0x83feb26b,
+    0xb0a2780c, 0x77b4e329, 0xa28c4a79, 0x6a1d71df, 0x230a918b, 0x71573846, 0x508d82c5, 0x74cda944,
+    0x6737a182, 0xa90cf114, 0xf964e1b6, 0xd9197624, 0xe5609a0d, 0x2225e501, 0x4b15db63, 0x017c612f,
+    0x2b63f8f5, 0x0c94cc25, 0xd14b4e20, 0xbe65c89c, 0x84709095, 0xf22a3ed0, 0x0e252e5e, 0xe7515b30,
+    0x1e30965c, 0xc4c27288, 0x67b06819, 0xd32cdb77, 0x74ba865b, 0xf7e679b9, 0x78fb1352, 0x6d6be53b,
+    0x68daf193, 0x2bc61370, 0x597447ff, 0xc929adf5, 0x4e4cfb4e, 0x7b85fc79, 0xdd086c41, 0x294f2dac,
+    0x26cf711c, 0x811ed213, 0x47324617, 0x8a21a6e5, 0x8247e5b8, 0xda253319, 0x5bc01319, 0x16ce9acb,
+    0xfe23ecf7, 0xbc8a366b, 0x93e5dad4, 0xce7c288c, 0xa5522515, 0x45375069, 0xf17770d6, 0xe86d0a72,
+    0xfc91516f, 0xa321be8d, 0xc8e74aaf, 0xc4c8816c, 0x40041810, 0xf2d3b864, 0xa03cbca4, 0x82469d22,
+    0x6aa3b0fa, 0x3c6a24bd, 0x877754b4, 0xd2d45949, 0x67cac0c7, 0xf8cced67, 0x06bfc3c3, 0x1f13ae67,
+    0xfc8fd156, 0xfa2a1a30, 0x2c0ab9d7, 0x6e666d9a, 0x88664838, 0x8559a970, 0xd6b72ae7, 0x892337ad,
+    0x6af157bb, 0x04b9db47, 0x95d9dab4, 0x8114dac8, 0x10e793ac, 0x8c9156f3, 0x6773c156, 0xf16b5b28,
+    0x00c78b42, 0x9ae6fb81, 0xc3afa961, 0x5d570bfd, 0x8523d223, 0xae04a973, 0x6aade98c, 0x6cf35e35,
+    0xb385aa3e, 0x71d14aee, 0xee93f904, 0x8df35e57, 0xee0f2880, 0xd15a7f8e, 0xf93d148a, 0xe2c13d67,
+    0x8b0acd8f, 0x3187a35d, 0xc6f98d6e, 0xe9516136, 0x3247d92a, 0xbfbc2d81, 0xe63201b9, 0x1d839658,
+    0x657f0e8d, 0xb120fd66, 0x5d638b91, 0x01a6c3ff, 0xfa9636d1, 0x35642a18, 0xa51bf286, 0xf49f466b,
+    0x2cfe3c4e, 0x2046b3bc, 0xb65398cd, 0xb74e12bc, 0x8c9f33d8, 0x0dafd95d, 0x1cb6b61c, 0x96de8d60,
+    0x15349692, 0x4e64e417, 0x90158f78, 0x2df2d11e, 0x78a40709, 0xc791198f, 0x403977f4, 0x0b56768d,
+    0xd16a2fbf, 0x9def35ef, 0x69207255, 0x992e17d5, 0xd0d399a0, 0x56b055c4, 0x4620c8a4, 0xfa50af4e,
+    0xf6287741, 0x9044839d, 0xe58e5494, 0x64ee93ee, 0xc983884e, 0xb6459a61, 0x8842b621, 0x08ef5fbc,
+    0xa04e656e, 0xb204c8e4, 0xe04da568, 0x26399c63, 0xa91082b1, 0x622f732a, 0xdf73a909, 0xbedaa677,
+    0x104f36be, 0x99124b24, 0xc06ff4c9, 0xa86086b9, 0x491005a8, 0x8a747bca, 0x1b5478a1, 0x5ad00ea2,
+    0x457e5fbc, 0x5a05fc6f, 0x101fbea2, 0xd9ee45c9, 0xe6b20a10, 0x5d2fc6e3, 0x30f20288, 0x61424cee,
+    0x697b5b29, 0x8708f8b5, 0x9c31905e, 0xae343049, 0x2b397cb5, 0x817f8495, 0x8b5e1e00, 0x72171d51,
+    0x01285d7c, 0xc8ce342d, 0xf44244b0, 0x2878ee23, 0x92234662, 0x5c6eb1cd, 0x0e013331, 0x93e1db0a,
+    0x5d0dc31b, 0x766c44f6, 0xdaa42ce2, 0x93a5d801, 0x03512db9, 0x0d3b44e0, 0x425381ac, 0x7d59f7fa,
+    0xc01ebf8e, 0x34b63cd7, 0x48ff6d5d, 0xd3964616, 0x4c08e5f8, 0xa650f46a, 0xb1134929, 0x38337029,
+    0xe41617ce, 0x4b05d3a5, 0xd455f375, 0x35bac848, 0xa38483ae, 0x6f2df2b6, 0xb40cb7fa, 0xb11c1d7a,
+    0xc981b23d, 0x15120d9c, 0x0440c0b5, 0x3e2c2852, 0xc33e68db, 0x4b0dec6e, 0x0855a00d, 0x3da315d8,
+    0x39c7c59c, 0x3e01ab90, 0x35cb3f99, 0xe3526ab6, 0x817b411a, 0xce908621, 0xfcc6a0bc, 0xa99095fd,
+    0x76b25d07, 0x9e2ab992, 0x6adf87f4, 0x499e40c0, 0x995d9ff4, 0x2309e05e, 0xc572fd70, 0x85c580d8,
+    0x3cc6ae02, 0xc8b4e128, 0x13a4ff73, 0x6e55bb97, 0x6f8d1dee, 0x9434c9d2, 0xc70b4a06, 0x5f64fc5e,
+    0xa2cc9579, 0xd0a20fe7, 0x5b5d86c0, 0x9d5bf767, 0x46a1cd06, 0xcadd57ca, 0xe0cfb02a, 0x74b4f7ae,
+    0xf7f17352, 0xbe400979, 0x78e65c10, 0x5c295c63, 0x0f5241c8, 0x32b25f36, 0xaab560ff, 0x24c7c664,
+    0xf01e8dc3, 0x925ac709, 0x8a84c209, 0xdd321cd8, 0xf0cb50eb, 0xfa097f1f, 0x3a49ff0e, 0x4707bbc2,
+    0x563a4e4c, 0xcc8f2f13, 0xcaab8665, 0x304c88d7, 0xe63eb5d9, 0x5281eedb, 0x1c2cd6d9, 0x4877de2c,
+    0x2ef44f76, 0x76147526, 0x8b20a8d3, 0x57de1431, 0xa5b43005, 0xfc5712f7, 0x145181c4, 0x1cf9975f,
+    0x7ba38da2, 0xcc74d8d8, 0xa9fe33f2, 0x986f17f0, 0x7441a055, 0x159dcfcd, 0xee176141, 0x01a62c27,
+    0x35a04f7c, 0x42b49ed7, 0xaa16716a, 0x7258b277, 0xf1e361d9, 0xba246d76, 0xc65f0615, 0x20a663d3,
+    0x3c53f6f5, 0x6c4e85aa, 0x5dc9746d, 0xe3ea8864, 0x2b9a9226, 0xb22366cc, 0x57845390, 0x1b96782e,
+    0x61973588, 0xdbd9157d, 0x4ab6ab9f, 0xbe38b43d, 0x4f3e4603, 0x16c55916, 0x355a2078, 0x92428bfe,
+    0x14235521, 0xe17e9162, 0x8c12b957, 0x4733ce4c, 0x09b7fe86, 0x96dfa843, 0x7dc627f3, 0xed154e17,
+    0x54f5efad, 0xaf9637fc, 0x15c2c6cd, 0xcf1a6dbe, 0x6bece75e, 0x1edb51a7, 0xbe116b89, 0x717de3e7,
+    0xaab72663, 0x58dda2b7, 0x48860ea7, 0xb54336ca, 0x3521642d, 0xb2fc24a3, 0x8b0247d9, 0x6d24df68,
+    0x6960fd9c, 0xaa56206e, 0x3e26432b, 0x206a5f64, 0x0246494c, 0x4812790d, 0x778e3305, 0x7447715f,
+    0xa10dfdc1, 0x1a50ecf8, 0x65b604f0, 0x6c0cd2ba, 0xc35d409a, 0x10d6696e, 0xec9cc50f, 0xb7c32009,
+    0x714840c5, 0xe15a7952, 0x3e72344a, 0x8a34e4b3, 0x753550e8, 0x923d37c9, 0x2d4fa757, 0x8e03ae84,
+    0xfbe0479f, 0x82840a7f, 0x0b80af30, 0x45270053, 0xf53f5033, 0x087ae7bc, 0x65eedf85, 0xc079b4e5,
+    0x22f82f36, 0xc99ba48b, 0xbc0da707, 0x1f619932, 0xcbcdb71a, 0xea693a9f, 0xb5f3b0eb, 0xa8b59dfc,
+    0x897cbd40, 0x23021036, 0xd7297b7e, 0x9189b7b6, 0x1eafee31, 0xd54ced14, 0x2d328495, 0x1d1054b7,
+    0x2722c2e5, 0x8e68c991, 0x352a542d, 0x0aa953c8, 0x2a2edb20, 0x80337dfd, 0x68a648d6, 0x6cbfb4e1,
+    0x7a494ca3, 0x717c57ff, 0xeb1cb738, 0x425e9e9b, 0xfe1911d8, 0x0e19362e, 0x100dada8, 0x93d7d6e8,
+    0xb81204ae, 0xbf0472cf, 0xd4437d0f, 0xf29c3296, 0x0d0466da, 0xbcb46250, 0x7fb37130, 0xdd0004a2,
+    0x3cc428fd, 0xb49a8710, 0x01416f7d, 0x1ff3ae75, 0x9fe4c6c4, 0x6e39721f, 0xc45bde00, 0x66139e51,
+    0x0bfb5845, 0x89105845, 0xaaff18b3, 0x4b34d602, 0x7ddf1915, 0x111fc813, 0x48a1507a, 0x44409943,
+    0x2ae34974, 0x4ff5226c, 0xa152350c, 0x229bfe28, 0x584f7a83, 0xdbd49852, 0xd74e8dce, 0x41177f5e,
+    0xbe386bc2, 0xf57fe5ee, 0x906e30eb, 0x124858b3, 0x1a892fe0, 0x363efde1, 0xf1805d0e, 0x0c6eb7e0,
+    0xbd0426b7, 0x07cc4fbc, 0x2e0aeb6e, 0x254d665d, 0x21b2770b, 0xa17de5d2, 0x8c6b1fde, 0x641fa0e1,
+    0xfd72b37f, 0x1bc7dbea, 0x193cc21c, 0x144f12b8, 0x5445e73c, 0x1a78974d, 0x5f48db19, 0xeeaca94c,
+    0x1b47e55c, 0xe6360459, 0x84d591ec, 0xaec8756a, 0x49f02084, 0x6005eddc, 0x120a5c5c, 0x6dde5e63,
+    0x455fd942, 0xbf7c4072, 0xc5634d0f, 0x9d8f6700, 0x1c64c376, 0xe95b0d01, 0x6c9c1855, 0xd036e367,
+    0x1ca056cc, 0xcb158e27, 0x5bc61b00, 0xa51b1417, 0x71536551, 0x88a7a6b2, 0xd08e1e0b, 0x6fc4d3b0,
+    0x5295ee52, 0x3a6aed64, 0x1d47cefc, 0xaae7f330, 0x8fd5bbef, 0xb06316c8, 0x97588803, 0xacf9c401,
+    0xd8f82b5e, 0xa99fcec6, 0xdc1e9e59, 0xebe202fc, 0x4d9979e2, 0x365daf05, 0xae558994, 0x5678d1d3,
+    0x1e75e72e, 0x4b3443f8, 0x9f48a81e, 0x07eb77a6, 0x12e40f6e, 0x4bee158b, 0x2f8a7d30, 0x1af21af4,
+    0x7aa34552, 0x4161962b, 0xa8aa7498, 0x0351a2af, 0x9f5ad448, 0x9fe9ab0d, 0x042c5336, 0x2b753d75,
+    0x494cb06e, 0xa3bb020c, 0x9eec9fbe, 0xfbd41323, 0x6a7dd8f6, 0x4d2bb0cb, 0x491cb82a, 0x533a3fbe,
+    0xcab9ad45, 0x7c2579c8, 0x53e1f2fb, 0xb18315e9, 0xeccdf449, 0x7ca77d78, 0x71d777ab, 0x1d767f26,
+    0xb6a142a2, 0x6ed5e382, 0x607fec64, 0xe4d47003, 0x5e11b00e, 0xd87e5047, 0xcd0986eb, 0x70382242,
+    0xe7f0e83a, 0xb21b76f9, 0x620035a4, 0x9e432b5e, 0xc9966924, 0x6ae186fc, 0x746d2953, 0x4560cca1,
+    0x647dac20, 0xef531e4e, 0xd536bfc3, 0x70c950ce, 0x16350707, 0x1698b56f, 0xc9350e85, 0x53b273c4,
+    0x1d89c9c9, 0xad6c9f17, 0x633c7f8c, 0xcd0352be, 0xc42c14d6, 0x8d7e5844, 0xde02880d, 0x6f9bdc9a,
+    0x95856d16, 0x627c14bd, 0xa0cc9253, 0xae9de8db, 0x6ac02fb3, 0x27eb949b, 0x86cbf64e, 0x80f8210e,
+    0x00000000,
+    0x06db5023, 0xd0cb91d4, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000309485009821345068724781056 */
+  { 0x00000000,
+    0x3f547ac4, 0x8d53ebfa, 0x03b1d5e9, 0xf3e3d852, 0xddf18b5f, 0x931a4866, 0x549d20be, 0x86c69642,
+    0x6c7ff5a2, 0x80e70297, 0x462fa68d, 0xe606fa51, 0xbc81e1ff, 0xc031f677, 0x159a8e21, 0x2d9111b7,
+    0x03704fbc, 0xefbd959e, 0x80c3e4cf, 0x5c917361, 0x37f14747, 0x4469d663, 0x950bc4e2, 0x96f4538e,
+    0x437179bd, 0x16db8b50, 0x36cf2efc, 0xcf7fc826, 0xfcc0c43f, 0xb709cf37, 0x3ec52060, 0x6a15536e,
+    0xdc481a88, 0x6bad0044, 0x34b7ba1d, 0xb1f7c26c, 0x146c8cab, 0xd5eee55a, 0xf771bb59, 0xf81d538c,
+    0x65e99a2d, 0xcf99d0f9, 0x53c5024f, 0x87aaebc8, 0x332729d6, 0x05c36058, 0x4de4e745, 0x631ca237,
+    0x1dfb133e, 0x4bd9a737, 0xc430c48a, 0xd200440b, 0xcd46b423, 0x317d069d, 0x5895175a, 0xe044c932,
+    0x8bf53814, 0x16c2ca64, 0x652878a4, 0x96d62289, 0xb3896ac2, 0x6ffd10af, 0x85f48666, 0xf3bd1615,
+    0x081b7724, 0x5022bc41, 0x8f6b330e, 0x691f2de9, 0x8cf48617, 0x7bf53a2c, 0xf8d099b9, 0xcd2f0dd5,
+    0x08c17f40, 0x0ffa9424, 0x63673130, 0x0bcab457, 0x8c011eb2, 0xec08cc12, 0x7143f429, 0xee5b234a,
+    0x01a9ac76, 0x174f5fc1, 0x6cfcdd95, 0x85794b47, 0x498b1c4a, 0xd4da9a4b, 0x12158c34, 0xa76f92c2,
+    0xfbaf6699, 0xd0e666bf, 0x0035ace9, 0xd083df40, 0xd2402db7, 0x5b4d1c8e, 0x0ebd08c5, 0x06510b33,
+    0x65f2d1e0, 0x4955ba1f, 0x4b0a718d, 0x43d0687b, 0xcab25614, 0x641465a8, 0xc86740ee, 0x336732d6,
+    0x15e7e3b3, 0xcc594a75, 0x23484e67, 0xb2a912e6, 0xe7d159ab, 0xf63dd8cb, 0x7511cb7e, 0x05f3af33,
+    0x6a342815, 0xdb548a97, 0xbfe73efe, 0x901c0b5d, 0x4767ea33, 0xd54e1298, 0xe4782d35, 0x88d801d8,
+    0x8875fd41, 0xf533ec42, 0x9d298e9c, 0x698453fa, 0xd327ad85, 0x9cf382e4, 0x88d7ef61, 0x8b133f7e,
+    0xb47415a4, 0xf7e3ae3b, 0x03c3f433, 0x3746c223, 0x5555e99b, 0x01b48464, 0x45aa3cb4, 0x31df2c9a,
+    0xd37e8ae7, 0xb47805ee, 0xc42aaec9, 0x244e52b2, 0x5251e0a2, 0x2619389c, 0x52c9c474, 0x8e94980b,
+    0x87ea4b56, 0x295341b4, 0x70f05cf8, 0x4ac3eb05, 0x0384d84c, 0xf1cd477b, 0x0e5d52f7, 0x1ba89ba4,
+    0x24d285c9, 0xfb493190, 0x8e311eb9, 0x87f03d17, 0x3e5791a2, 0xa10b5204, 0xd103f044, 0x4759315e,
+    0x1d61b13b, 0x52a7c7a6, 0x6ffbd219, 0x2cab1850, 0x80cea85d, 0x786a4bdf, 0x15f99572, 0x45675dd2,
+    0xd4bb8dec, 0x9a83d469, 0x8a6a2192, 0x9af7b2cd, 0xed2a364f, 0xd871c78e, 0x57dd00e7, 0x0cae5a59,
+    0xcc803182, 0xde85ffa4, 0xb01ecc72, 0x5c87aaa3, 0x8e1d5823, 0x225944cb, 0xad9c92fc, 0x9c2903f6,
+    0x43e9230c, 0x8775ed24, 0x3720a8cc, 0xa45d58be, 0x82fcd349, 0x49b37c73, 0x9d032fad, 0x9290a641,
+    0x5f831978, 0x7299dfcc, 0x6b22dfce, 0x4c24f23b, 0x08be1c9e, 0xb8886c69, 0xc708fa98, 0xcaa9203e,
+    0xe85ba391, 0x323e5efb, 0x3ba1f0e1, 0x7b804496, 0xa2dd98e3, 0x224c139a, 0xf4b4ac55, 0xe0d12a86,
+    0x69b61904, 0x7b7e6dcc, 0xea34a9e0, 0xb45a2321, 0xe89718f1, 0x445b4b04, 0x65648a76, 0x25c60369,
+    0xae740083, 0x7f3113a6, 0xb9cf50d9, 0xd6df8e2f, 0x280af4bc, 0xef18b460, 0x631baab8, 0xeb26e968,
+    0x673d5a76, 0x08e86a3a, 0xfad0bf88, 0x6a66cbcf, 0xb610ef31, 0x82114c59, 0x00cd1c1a, 0xad5338fe,
+    0x03337afd, 0x60216ef2, 0x079a3cd3, 0x6106195e, 0xe4ad6e25, 0x46e901fd, 0xe905f170, 0xe0a8ef79,
+    0xf6d7ba71, 0x23d70e1b, 0x0bb81bb2, 0x8107e8f2, 0x33a06cea, 0xb73c51e1, 0xb6e778d2, 0x4232d23e,
+    0x52dc6547, 0xca47af06, 0xc396a8d9, 0x23d01c91, 0x77dbbfb8, 0xdf2094bf, 0x0e303513, 0x76872e8d,
+    0x5eba7458, 0x8af3498f, 0xb37f4cd0, 0x47601bfa, 0x16718c87, 0x13a5ede9, 0xbef18c36, 0x333d5dcb,
+    0xbf53c1a6, 0x62b51a4c, 0xb5f4f7fc, 0xd1c01e48, 0xd08f046b, 0x5aad967f, 0x5f3d6b9d, 0x3cf77e7b,
+    0x0bbd0acc, 0x772824de, 0x97e6c0ae, 0x172d1412, 0xda215fce, 0xd6eef79b, 0x270be65b, 0x98a90fb2,
+    0x3680b052, 0xe9a70c16, 0x42c863b9, 0xa8e5f575, 0xe060d512, 0x7feb3059, 0x32bd95f1, 0x62b72be1,
+    0x6cb0de84, 0xd18d5a06, 0x83cc5aca, 0xb79cd7cb, 0x4c574398, 0xc8314a23, 0xa3dd8ea4, 0x65a5de8b,
+    0x7473f8e3, 0x72cd642a, 0x534f2817, 0xe439ae37, 0x9a9978af, 0xcecf6006, 0x5f2ed8ef, 0x9ec13128,
+    0x8721e7ff, 0x525fd821, 0x8c9dfb59, 0x90d18705, 0xe539524b, 0x1b640f7e, 0x5d33d464, 0x1f0824c6,
+    0x821a2dc0, 0xe8f419e5, 0xd93cf3e2, 0xff7b00ed, 0xfd081f11, 0x79066373, 0x294f8e89, 0x4eb3d4bd,
+    0xadefc4b2, 0xa66d75b3, 0x553958e5, 0x8b2f820c, 0x19a73ae3, 0xe55d2447, 0xf7fb5bb6, 0x06383612,
+    0xc8b57dcf, 0xd4ca8a08, 0x6bbc0153, 0x7e138b38, 0xbc653f07, 0xb482d990, 0x60d2b200, 0x9684c10b,
+    0x1a84e6e1, 0x70a0ff11, 0x76c8ddfd, 0xc462c3ef, 0x4d707b8a, 0x5e602d9d, 0x6c305bee, 0x407c638f,
+    0xfbfb9c26, 0x849551ab, 0xb670176d, 0x833afa94, 0x789ab0f0, 0xe33fea32, 0xdafd75c6, 0xb74e4e69,
+    0x2e6a1bc3, 0x364d9e4d, 0x97a4591f, 0xa0f8b882, 0x57588001, 0x040c9b6c, 0xda7ca0a5, 0x3bc75566,
+    0x3bb905ce, 0x77ebf13f, 0xadf560c3, 0x3b4b65b0, 0x8fc08bcb, 0x68c5d6e5, 0x9fb90a3c, 0xb30265e2,
+    0x07ec768d, 0xddd59fb9, 0x104b442e, 0x484e0b9f, 0x43fba9c6, 0x8110b9a1, 0x2b0ecdbd, 0x45a544f7,
+    0x4515c989, 0x3affcc68, 0x49e7fcd2, 0xff6682d8, 0x76ec0be2, 0xc4f43f4f, 0x6d29223b, 0x0d8276a2,
+    0x5ea14dd6, 0x65be91c0, 0x94a9fe7e, 0x7d0e7e62, 0x230f951e, 0x413e8d2d, 0xe814aa4a, 0xe0f5e1f3,
+    0xa495ad30, 0xcc2d0b1a, 0x61a92db5, 0x6aba7da8, 0xcda568b4, 0xc15f78bd, 0x9620edb8, 0xa0902856,
+    0x221c5493, 0xc70338bb, 0x6d4bce39, 0x920a52c6, 0x7a866490, 0xfd9403dc, 0x1e80d399, 0x8787336f,
+    0x5814f8d4, 0xc6ad0854, 0xa22cceb5, 0x7cdf2485, 0x9bad9d14, 0x1e7e974b, 0xe7c7da8a, 0xaf961bf4,
+    0x56795a1b, 0x47f897d1, 0xe2fcdce1, 0xff03fe41, 0xd8af7e23, 0xed029afa, 0x4087419f, 0xeb87c858,
+    0x5b1322e2, 0x1409674e, 0x626fdd7d, 0xd077f3fb, 0xa2b8db34, 0xc12bb1af, 0x7305a239, 0x7cb6c230,
+    0x27493e66, 0xd5fe6eb9, 0xe4b47321, 0xab2dd95a, 0x3f239c4a, 0xcf88c303, 0xf9be913b, 0xba70b66b,
+    0x7e3f0e87, 0x8fdaed69, 0xd242df9d, 0x3b5d02f6, 0x87ca8a96, 0x5a5bac1e, 0x613ec0dd, 0x2804b574,
+    0x1e9f7122, 0x4e85cec9, 0x602ae6e7, 0x306fda55, 0x23104b7d, 0x58563fb7, 0x9870326b, 0x1445aa46,
+    0x94f16e5e, 0xbec7d9f8, 0xa7753979, 0x7d02cc70, 0x1ab9b025, 0x9496c0f6, 0xd3209fd2, 0x1172ca30,
+    0xa66f30ad, 0xfe19a07c, 0x5f6c9dbd, 0xdb152cea, 0x08ec49bf, 0x19c51d2d, 0x6d1a88c1, 0x40be57f7,
+    0x3ac250ed, 0x2c098539, 0xb8e2b41c, 0xd8764c10, 0x89d52f8a, 0x7102df49, 0x32c8740c, 0x6183af95,
+    0x57f7f912, 0x89919244, 0xf54cf8e3, 0x23ef5ac4, 0x56391f9b, 0x32997601, 0x83151b8f, 0x52b0bdbc,
+    0xc43fc1f2, 0x6093c59f, 0x730ed7ab, 0xf2e78819, 0x597aa735, 0x703b080f, 0xef456059, 0xeea77f25,
+    0x9077d56b, 0x326085c6, 0x5408939f, 0x0bae5f46, 0x794dbf24, 0x2d02e9f7, 0xa9ed97bc, 0x86e8db25,
+    0x2c8dac83, 0xc5313879, 0x8fabf017, 0x57baa0b4, 0xbc22bd59, 0x5a5fc411, 0x1a764d3f, 0xc040e616,
+    0x73994430, 0xf5fc6b92, 0xbf476207, 0x26c2135f, 0x9dea429f, 0xc3790e21, 0xd8c0ac01, 0x1f78d808,
+    0xa5cbbd4e, 0x20a39b50, 0x21cfbc0c, 0x840e2870, 0x37ac53c0, 0x7a705847, 0xe52314a3, 0x67610440,
+    0xc7afd433, 0xd046d527, 0xd090c8ac, 0x687ffc5a, 0xadb1be46, 0x79f0a49e, 0x6ccebc3a, 0xd41154f6,
+    0x3f8a74fd, 0x002e1789, 0x77358ac5, 0xddd4a85b, 0x2e160bb2, 0x25ada1f6, 0xbbf00b33, 0x67298f46,
+    0x79e33502, 0x444a321d, 0xe2a88558, 0xdd367b23, 0xbd9b4b8a, 0xeec25548, 0x0068d4ef, 0x9a0f1dd8,
+    0xb8ded3db, 0xa8c2ce9c, 0x537e2099, 0xf23d6038, 0x4c140b81, 0x1197694e, 0x0daace0f, 0x1dcd4ccb,
+    0xb5c4ddd4, 0x7a772f4b, 0x6bee7496, 0x29818065, 0x4e5c71d0, 0xe90cb1c1, 0xdae057e8, 0x0e4c8385,
+    0x02d46874, 0x9bbd10c1, 0xe5389e40, 0x0326d2a2, 0xff9b6f43, 0xdd87be13, 0x9ff4377b, 0x9593d1de,
+    0xbf1a56f7, 0xef0708de, 0x4d12390b, 0x2fa2389a, 0xfb29d780, 0x47571e4c, 0x6198f4e8, 0x2f642846,
+    0x077a5652, 0xc39d87eb, 0xf0d78005, 0x84a25c7a, 0xfae83564, 0xc83b0f91, 0xda38dec0, 0x2054b3fe,
+    0x98da9206, 0xe4ae5968, 0xf9b553d2, 0x62f1d863, 0xfb0b09c7, 0x82826c3d, 0x865a3338, 0x7ce85629,
+    0xfafb7085, 0xa4dcefc7, 0x9e8f7044, 0xe52b5912, 0x6c9e79c4, 0xe3144a09, 0x344ac39f, 0x7bdbd36c,
+    0xbfcceaf4, 0x69c18022, 0xe18a6cac, 0xc4367ad0, 0xf763e463, 0x132fac53, 0x4a29a094, 0xd3f407a2,
+    0xdc4a6385, 0xf84f5c88, 0x0163ceb4, 0xc0ade5bc, 0x51705de9, 0xa15b4e1e, 0xe9eff1b0, 0xd9069451,
+    0x8d442522, 0x8b5a35c8, 0x15952e47, 0x7b419935, 0x66273c38, 0xedd2fb98, 0x4bc83bfc, 0xd1958e60,
+    0xa66a26e8, 0x5a9d91be, 0xdd9c9549, 0xbdf5e5cb, 0xe5cdf00f, 0x181b42ed, 0xdc19da3f, 0xc4697af5,
+    0xe9cccd59, 0x8e44f822, 0x0f1af175, 0xbbc1de8a, 0xb621e68a, 0xfec1bd80, 0x5a36d877, 0xd6db43b9,
+    0xbe508a38, 0x8f3a6733, 0x9bd175b0, 0x4e371e55, 0x50250b34, 0xee2ebf50, 0x2a650e5e, 0x0fd8142a,
+    0xe8fe3b17, 0x54837455, 0xc8473b52, 0x1c911a2b, 0xa5657772, 0x8f9b0abe, 0x13596437, 0xb90b28a6,
+    0xdf918ed6, 0xdd655a81, 0xcb4fe7f7, 0x8e0b4b26, 0xc046c05c, 0xb03c3bcd, 0x8608bb87, 0x747302c3,
+    0x3f82b9c9, 0x072c4e44, 0xda5b5f02, 0xc6eb77f3, 0x560f65b0, 0xbca27c1b, 0x93b34b2f, 0xb15ecee6,
+    0xeae10b6b, 0x56a07901, 0x0bca588a, 0xecf948dc, 0x25bc4319, 0xf288126b, 0xb4aac377, 0x819f201a,
+    0x9c2acb70, 0x0c0319c3, 0x661f4270, 0xf2d614f7, 0x8d10fc6c, 0xb65994a1, 0x59e8b1a8, 0x7a6c5d7c,
+    0x1b6ca979, 0xc2c22839, 0x82b4f322, 0x87545399, 0xc8342afc, 0x7c2d6076, 0xde618588, 0x5881afd3,
+    0x3fd65dd2, 0xfb0791b8, 0x59c98ef3, 0xf4d99ab2, 0xece05dc7, 0x7ff7abd6, 0x02f5a82d, 0x700673ed,
+    0xc93fd477, 0x83f20ab4, 0xdb6edce1, 0x1a9d07c2, 0xebce5a32, 0xb97ad709, 0x564fc377, 0x5b12e603,
+    0x4df4f4ef, 0x2a5578b7, 0xe3d114f7, 0xc6070e79, 0xfda38c3a, 0x460599bf, 0x18fbda86, 0x2969aa11,
+    0xd0a91223, 0x0b04dda9, 0xcc42f60e, 0x3bb54c39, 0x9137d555, 0x4b60c9e9, 0xdde0eebc, 0xcfa84573,
+    0x29ccd09c, 0x56c2f9ac, 0xea9da2cb, 0xc4a752a7, 0x6d4808b1, 0x42163953, 0x88e2ebac, 0x611aeb99,
+    0x70794a24, 0xf08cce75, 0xdd326b60, 0x29702627, 0x6831c579, 0x1186c6f7, 0x79f17189, 0x860900e2,
+    0x21d82b9e, 0x972f13d4, 0x3a71a606, 0x80161c1c, 0x183bf74d, 0x80766728, 0x34a71968, 0x7357b88f,
+    0x55d4b9eb, 0x4f6ad16f, 0x89411903, 0xb916cd4f, 0xc8d518a6, 0x53bc15a4, 0x58935046, 0x7f30d5c9,
+    0x1629eae2, 0x2b0762aa, 0x897c894b, 0x75f0e3d3, 0x19d39a0c, 0xb9cacdb5, 0x3f4e6fc4, 0x511a0b99,
+    0x2197fb76, 0x443e3bd1, 0x025aabfc, 0x54a5938f, 0x6d11e975, 0x5516e499, 0xc2bade84, 0x8ba949df,
+    0x84328912, 0x59613e7b, 0xb9897c58, 0x120dca01, 0x14ff8bfa, 0xe59079e4, 0x1ae73d12, 0xe7ebec63,
+    0x4661865d, 0x31438565, 0x1d5e3895, 0x887ab968, 0xaf94bff2, 0xd5e38b7f, 0x9001b40a, 0x1d255c07,
+    0x1d51494f, 0x8e3ab352, 0x5bdba8af, 0x515f4487, 0x20eb1078, 0x63dc743b, 0xbb42c7f5, 0xc1007d0f,
+    0x21e8a825, 0x39b8deba, 0x893c8f5b, 0x1af7186c, 0x390b42e0, 0x7a63eb61, 0xa44392fd, 0x7333ee4f,
+    0x7ff6525d, 0x2e515647, 0xdcbd3d0c, 0x9b108a37, 0x2dfbf8e5, 0x77b6b8fa, 0x13cb50ad, 0xf2e5cc41,
+    0x6610ff5e, 0x739abdf9, 0x079e5c2d, 0x86b740c1, 0x80a1efbf, 0x212e4bf7, 0x974b7ab5, 0xed8f0f8a,
+    0xdf3a7277, 0x46f35d6c, 0x7564f5b9, 0x62a49289, 0x382dac8d, 0xc7b830d2, 0x5f930864, 0xa2cd36de,
+    0x6cabcb79, 0xa678f449, 0x3ba5cdd8, 0x196f2261, 0xa1c67d30, 0xd9eef0f4, 0x5e51c8bb, 0xcb0007fe,
+    0x7a6ed41f, 0xe694e766, 0x79f40f5c, 0x4cae012d, 0xe221abab, 0x5b1336a7, 0x76c03571, 0xc86c47c5,
+    0x0dad65a2, 0x0a98697b, 0x14745e27, 0xabde3d7d, 0xba24a771, 0x8f6b0c85, 0x3c9a2fae, 0x8e064f0e,
+    0x72d43490, 0xdf1b64a8, 0x45a54eb4, 0x809927b4, 0x74254370, 0xa94ebceb, 0x5c008850, 0xeee1366c,
+    0xde39b9c2, 0xb0d917b0, 0x1397c2da, 0x00b05b3d, 0x2e22e79e, 0xb7b2312d, 0x47d2057f, 0xf7b58303,
+    0x75e05690, 0x785c1ba9, 0xad11cb66, 0x3bac3fb7, 0xd710cff6, 0x4b3948b6, 0xbd232137, 0xccd58c93,
+    0xfe8e8b7f, 0xdb228469, 0x885e0ed5, 0x7c7b66a5, 0xd1b43ea7, 0x0edcfe7c, 0x15934aea, 0x95f9f26b,
+    0x6247a161, 0xef81459c, 0xb0e9fcdc, 0xc937453d, 0x27a33d77, 0x65868ad6, 0xbd19bb1d, 0x59cd4afb,
+    0xa539640e, 0xb5d3df88, 0x8524ede9, 0x155ca0f2, 0xc4e2da8c, 0x16f3e91c, 0x09605afd, 0x4d05caea,
+    0xa6d13039, 0xa9de5867, 0x7aa27a22, 0xc831d79c, 0xcdae0198, 0x9e60e7d4, 0x48035a58, 0x409285b7,
+    0xb8b194d0, 0xd0e611f0, 0xf95335bd, 0xfd0caf02, 0x9ff12bca, 0x2e05e0b1, 0x1b0a9584, 0xab7409a0,
+    0x0b8e82dc, 0xc0d30d51, 0x513fc24f, 0xe9da525e, 0xd4e6fd18, 0x69beabce, 0xdcef4b59, 0x7756e9d7,
+    0x81558f06, 0x1777270e, 0xc1487324, 0x6f83ee05, 0x66b55b09, 0x194715bb, 0x4dc6bdbf, 0x62e418c0,
+    0xed333ce2, 0x2a761827, 0xc7106771, 0x51541352, 0xdc665fbc, 0xaf3fa172, 0x7f69f914, 0x5a919632,
+    0x82a4cb20, 0x93953954, 0xd0d0a652, 0xdf8b10bb, 0x254753a9, 0x2ceea302, 0x5365f770, 0x137175ca,
+    0xf4998152, 0x6bfe1ea4, 0x0192d5c8, 0xd32e6bd1, 0x7ac1564a, 0xfc6f4120, 0x9bac981b, 0x4703aaf7,
+    0x169a27e5, 0xb9e90666, 0xe3cda867, 0x887c36ce, 0xeb067ff5, 0x2340f63a, 0x1fd4f33a, 0x9f720df3,
+    0xdd8f035d, 0xdcbd5b21, 0xee72c37f, 0xf21053bf, 0xeeeb6fc6, 0xd18a5baf, 0x10d6c5be, 0x36a45c95,
+    0xb64b7e12, 0x5adca1c3, 0x495396fc, 0x0bf04b43, 0x78a5bd6e, 0xd7387725, 0x43121416, 0x82b5b454,
+    0xa4a3872e, 0x8cd72c7d, 0xb02b2eee, 0xccc4806e, 0xb8edaa96, 0xb61ed6dd, 0x8ae97c44, 0xe6b60862,
+    0x6d97362e, 0x727073ac, 0xe91aaf4f, 0xbcd5477f, 0x30bbbc5b, 0xf0f41b00, 0x3fd72b15, 0x807bd4a1,
+    0x00000000,
+    0x036da811, 0x6865c8ea, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000154742504910672534362390528 */
+  { 0x00000000,
+    0x2157892f, 0xc0909839, 0x6e06ed79, 0xa988e528, 0x28fba7fa, 0xfc5a5502, 0xe61bc2f8, 0x3163e5c4,
+    0x391e6a0b, 0x93ba612f, 0x3e609218, 0x8978cf12, 0x3445c758, 0xdbb7553b, 0x8ef3b34a, 0x6f0c71f3,
+    0x5f5f321e, 0xbadeaab1, 0xe1352abe, 0xde02bac1, 0x20638564, 0xaf794ca5, 0x3f9620a4, 0xca479cd0,
+    0xd6076a4c, 0x7ad0da2a, 0xfa7f3b4a, 0xc63e402d, 0x8ba7e545, 0x86a9b468, 0x41cab273, 0x18f4b355,
+    0xb82c38ea, 0x500f7492, 0xdd17ad3b, 0x2151e5ee, 0xebc2df70, 0xe958a348, 0x33371448, 0x15b985e8,
+    0x3bb88d9a, 0x57cce895, 0xc9c852a0, 0x8957b152, 0xa6b4eea0, 0xec807883, 0x3db4fb88, 0x8a3aa4ec,
+    0xc9ede4fe, 0x292c6bbb, 0xfce27bf8, 0x1bc280be, 0x7f9e9cab, 0x529a0547, 0xd105117a, 0x94574803,
+    0x115b0e0b, 0xb05af4e8, 0x4618531d, 0x360ca68f, 0x443e4ce2, 0x165ea3ae, 0x578fd7b8, 0x64be6095,
+    0xf559fb5b, 0x7e46f36b, 0x2dca88f0, 0x7efc6906, 0xa8d270d7, 0xc0aba342, 0x82ef8b0c, 0x0daff7d2,
+    0x0c4d0ec6, 0x4a687b39, 0x3728232c, 0xa0269136, 0x1466a377, 0xe5a6eb3b, 0x2b94c204, 0xb103388c,
+    0x8e30c406, 0xb5216652, 0x0f6ee364, 0xe19c5c8d, 0x1f5ee5e2, 0xbae3e762, 0x8de5684b, 0x7de3e532,
+    0xc9eb15be, 0xa346c7f3, 0x10b877b5, 0x66b17278, 0x73e3e0b7, 0x48c5fb92, 0x534c9b49, 0x9a47a069,
+    0x241293aa, 0xb755dcfb, 0xf5e59e27, 0x20a02e79, 0x9b112831, 0x5473bd89, 0x4419aa95, 0xc4a729d6,
+    0x432932c1, 0x1ec37174, 0x6b747e4d, 0x07c5e17c, 0xdea7384a, 0x5c6c7086, 0xb4fe5c78, 0xff0b90d0,
+    0x1096fe4d, 0xbf134c88, 0x759f549c, 0x6fa6576a, 0xaf4dead4, 0xd3c01897, 0xf69a8037, 0x690dcffa,
+    0x6cda81f8, 0x803d7c7a, 0x04218928, 0xb987541d, 0xfef29948, 0x7f49e77c, 0x21506616, 0xa07e2074,
+    0xf8cf0121, 0xd7a3709e, 0x0abbb710, 0xb31338f6, 0x7a0a7a0d, 0x8c53e27f, 0x9a55631c, 0x2b03d26a,
+    0x8ab12806, 0xb4629dcf, 0xbfa0f1e2, 0x9c56ce15, 0x8b5a02e9, 0xf221fd77, 0x07f6faf2, 0xf28e345e,
+    0x824feb63, 0x3dd5a9a1, 0x4e338018, 0xc5a97706, 0xf61a54a1, 0x8db21462, 0xd20e1f4a, 0x45be7157,
+    0xaaadb808, 0x89d966b7, 0xdbdfa759, 0x0025bd20, 0xd540bad6, 0xa28f2ea0, 0x609101a3, 0x3094503c,
+    0x3c58ff29, 0x48f950a3, 0xe8ec7c86, 0xe8e3a943, 0x9cbd3e14, 0xce45e14a, 0x5da268b0, 0x5ee03171,
+    0x8a414944, 0x3b07af26, 0x3f28d2e1, 0xc303dd46, 0xeae92f39, 0xad828e9a, 0xae6fa575, 0xe4870657,
+    0x5e719aaf, 0xc2382d15, 0xfe3482c1, 0xbe88abf8, 0x9ffe4568, 0xd57fe4cb, 0x444892d1, 0x6ca51532,
+    0x59cf6abf, 0x56e4bc04, 0xa9e966c7, 0x376878a8, 0x05557987, 0x9e77b514, 0x87a92042, 0x0750c538,
+    0x5b0cc786, 0x2499270f, 0xfbfd3ae0, 0x99dc0779, 0xc9c0c8b5, 0x39305423, 0x7f4349a2, 0x65b6353c,
+    0x8ce49cf0, 0x2819fe12, 0xd8ff5c65, 0xbe8d2b95, 0x042d1ad7, 0x4d25a831, 0x943be6fd, 0x3a9efece,
+    0x0b4bba45, 0xb6f6858e, 0xa8a2bc2a, 0xfca926ff, 0xfc022a1c, 0x4e707c3f, 0x65fcae26, 0xf63ae937,
+    0x65763caa, 0xb5dc5d9d, 0x16326e6b, 0x24fe8dc0, 0x7fa1305e, 0xc045bca3, 0x257bdc4a, 0xbe2a4f82,
+    0xee53f1aa, 0x32e0826a, 0x8f0cb697, 0x81f12cb9, 0x7a685edd, 0xf1b70c22, 0xe20dd5f9, 0xb997c142,
+    0x2e43ef8c, 0x74b1a0a9, 0x9cfdd37c, 0x802a2201, 0x573a684e, 0xe606a4dc, 0xe5fb58c4, 0x253015f9,
+    0x5582301d, 0x64c567d4, 0xfff433d5, 0x3ce42ca7, 0x586bcd78, 0x08b88fbd, 0xa0a707b0, 0x2136505a,
+    0x8277c867, 0x3c02fc07, 0x5e067da2, 0x6e2f3422, 0x6c49c42b, 0xcddc0229, 0xc47c41ec, 0x99f2bae2,
+    0x01c06149, 0xcd41b652, 0xe20a3c19, 0xfdd6dc4a, 0xd71361a6, 0x8306f7d1, 0x27f09f3a, 0x213fd208,
+    0x105d4808, 0xc4d7858a, 0xc9a2f1aa, 0xe4839640, 0x9341a555, 0x0d85dd49, 0x1941ec71, 0xd835a7c6,
+    0xd1cbeb5f, 0x93832137, 0x33eea5a5, 0xf311b552, 0x9a337236, 0xce900836, 0xb9c2d99e, 0xa47564dc,
+    0xe05e921c, 0x8f3b6bd1, 0x3570ac78, 0x4c6d792c, 0xab5a44c6, 0xf36cce25, 0x9f3fa5c8, 0x2e76ae0f,
+    0xff4c6bf7, 0x2a42f698, 0x18394706, 0x124740ee, 0x6defa147, 0xd6414502, 0xa5da9883, 0x510e29e7,
+    0x3d0e04dc, 0xb5671c85, 0x84928890, 0xfe285e92, 0xcb53bfef, 0xa0660025, 0xaf2311b1, 0x2c013c7d,
+    0x94ecc83e, 0xef9ad88e, 0x8f397adf, 0x3d1175f1, 0xed6e8ec3, 0xe1f651fd, 0x1bb9f0da, 0x6a98d416,
+    0x3a449278, 0x49786f75, 0x140250c9, 0x7a3f3f79, 0xd6c438f4, 0x1953fcb9, 0xb5b2efaa, 0x9cfdf9c0,
+    0x237be897, 0x8f9caaba, 0x31b4b35a, 0x2bec24b1, 0x7edc061f, 0xff6cb04e, 0xbd5f7313, 0x3c20ae01,
+    0x0e9ee528, 0xc54158b1, 0xe07a3135, 0xd5ab59fb, 0xd1539c4c, 0x97cfb26f, 0x3660403a, 0x2875db0e,
+    0x36ad22ad, 0x358ff6eb, 0xdcd30e62, 0x9da5bbaa, 0x7eed6909, 0x1bb1b180, 0x16b1e10f, 0x4cd37d96,
+    0xdee9bfc1, 0x728cbdb4, 0x81e0d956, 0x4dbde561, 0x18ea31d1, 0x5a2066ec, 0x062abd1d, 0xe4288317,
+    0x92498861, 0x168f909c, 0x8b392de8, 0xc2c3f614, 0xf57601e2, 0x4f2aa21d, 0x24e88b42, 0xe7f308f1,
+    0x092a724e, 0x0df32785, 0x26baa01f, 0x62e416b9, 0x1ce3ecc2, 0xb65ea2f8, 0x94e92694, 0xef54f09a,
+    0x06d8a668, 0x434e0e89, 0xdebdd4aa, 0xb116e115, 0x269c74d7, 0x8c3e4949, 0x5a068760, 0x833a301d,
+    0x369c2649, 0x5a22dd21, 0x3fe14991, 0x1fbaa888, 0x35955b23, 0xeddf6b16, 0x4c8c691b, 0x63f39744,
+    0x96132feb, 0xafe61b31, 0x9824b937, 0x7b1212a5, 0x8c01126b, 0x0490914f, 0x5582cd01, 0x06241b67,
+    0x9dae98ce, 0x1a64290c, 0x944bd351, 0xc34d111c, 0xaaf47b7e, 0xdccc590f, 0xf36cc54c, 0xff6b20bf,
+    0x96786cc9, 0xfa62ef67, 0xf841d3ed, 0xf4090cea, 0x98d18b64, 0x17d42efb, 0x30ad1cdb, 0x6f0c69bd,
+    0x84a23d70, 0x359a1954, 0xf8061892, 0xe146ca34, 0x1cbbeccc, 0x4b1f3c3c, 0x8f8399f5, 0xa8e747be,
+    0xb2a7a77e, 0x751cac32, 0x69666dde, 0x409ddee4, 0x6ae7c142, 0xeac1b8aa, 0x5fe6775a, 0x8577acc8,
+    0x3e79b0c2, 0xe3ccbf47, 0xd870b107, 0xb13dde07, 0xca08c007, 0xab928d2b, 0xf9265d13, 0x764b2ada,
+    0xdd276d25, 0x92a51c6d, 0xcccb9d6d, 0x8e8a7858, 0x9446a8c0, 0x77ccc11f, 0x64980fc5, 0x3d859c46,
+    0x8ef30593, 0x971d8b48, 0x76b9a7d8, 0x9fb6130f, 0x99de9eef, 0xb8fa1762, 0x3e208fd8, 0x84d2efc9,
+    0x7033cccb, 0xaa93d2ce, 0xdd7753f6, 0xd74787f5, 0x6edc4456, 0xe2ff3d3e, 0x65a78dab, 0xd4af353b,
+    0x62d0f6f6, 0x6e6a97f0, 0xe75c30e8, 0xe839c4a2, 0x81c99155, 0x533cc486, 0xbb132cc4, 0x8b011095,
+    0x43bedbd7, 0x6083ae5e, 0x2882a5ce, 0x2ccb4985, 0x9df59fa7, 0x7e5bc799, 0xf1ff9a0a, 0x0bfbc8f4,
+    0x1f1aaa5d, 0x0fd61221, 0xe42bdfdc, 0x8a3e9b7a, 0x4f2718a2, 0xe1c98537, 0xe4da6737, 0x6378bb4f,
+    0x81a982a3, 0xff0a387d, 0x7c3a83b0, 0x7eb274dd, 0xd6d57b14, 0x41cac90b, 0x5c9bc6d0, 0x92746a7d,
+    0x7852b0bd, 0xcca374a9, 0x47f04433, 0x233e6e30, 0x393bc68a, 0x668912f5, 0xf784dc89, 0xa98c8397,
+    0xc115e267, 0xbad84726, 0x235913da, 0xd80a1188, 0xf267dbf8, 0x9c9a76e2, 0xa560c3f3, 0x188db476,
+    0xe8d56c14, 0xc169af18, 0xf7c363be, 0xe9b38d01, 0xd80a7f2c, 0xcfbba467, 0xe3cb6b24, 0xef428af0,
+    0x5dc7c0c3, 0x864ff730, 0x27e8b282, 0x93551211, 0xe440d152, 0xe0e0e2cf, 0x751b64c1, 0x72298735,
+    0x77b4452d, 0xc91602a7, 0xcde1e4bc, 0xca089997, 0xed2372d5, 0x87e92e1c, 0x3218643c, 0x492c8001,
+    0x4cbd098d, 0xd0124c99, 0xa01fdf2f, 0xc1ee61fe, 0xb3030a59, 0x08fbf9a4, 0xd51d0179, 0x7d979cd8,
+    0x1646468b, 0x978e4fc6, 0x431c0042, 0x93792515, 0x5e82258a, 0x8538bfc7, 0x874773ed, 0xa5171828,
+    0xfc4c74e5, 0x5334ade5, 0xce5073d7, 0x95be4a13, 0x31816f0e, 0x7b503ae9, 0xf6fd5855, 0xeee2d435,
+    0x69062987, 0x21f7f895, 0xe2be3377, 0x509ea73a, 0xc3ce31ea, 0x255a2078, 0x59760e24, 0xf5cc20ad,
+    0x33810124, 0x8d79dfa8, 0x7aa204be, 0x41fc70e7, 0x9e4f5319, 0xa5b83496, 0xcb4c5753, 0xb4147a70,
+    0x9772a878, 0x6c9695d9, 0x45095966, 0x872c139c, 0x6b0aa28e, 0xdf10148a, 0x568ff515, 0xf2542b2f,
+    0x54eb5348, 0x93c33c4b, 0x3c99c9e2, 0x04709ef7, 0x0ffb0495, 0x5c5f1800, 0x608377ef, 0xf53287e3,
+    0x695e3edf, 0x8441eefd, 0x75c8e280, 0x2b70617d, 0x7ae9159a, 0x4b5fc9a8, 0xc03f078c, 0xb739700b,
+    0xf3165a91, 0x8bed51bf, 0x4d555094, 0x4c5e4efc, 0x234ed54f, 0x77f085d6, 0x70eba875, 0x88bcf19b,
+    0xa7b8e121, 0x8441a606, 0x32df0311, 0x5e3ce8d5, 0x612518d4, 0x41fac617, 0x781af952, 0x03de04ef,
+    0x0a773143, 0x0fe81cae, 0x0890434a, 0xf998bc56, 0x52c1b202, 0x98719caa, 0xd54b7b3b, 0x5f44203b,
+    0x51f3deb2, 0xb7a5285d, 0x34a3f0a2, 0xfc7a829b, 0x5132df75, 0xb0cba532, 0x0ed45e20, 0xdfeb1d44,
+    0x9b999554, 0x4ac77626, 0xeb139847, 0xe1e254f1, 0x807b44da, 0xd97f8f47, 0x8cb5a280, 0xf7964270,
+    0x67265310, 0xbbf1c925, 0x14ba91cf, 0x890903de, 0xab37792d, 0xc72f47cc, 0x19841b73, 0xd9af4761,
+    0x184c401d, 0x7fec3dd8, 0xa3ac0ed7, 0x10566027, 0x801ca3be, 0x831b4bf9, 0x838c969e, 0xa724acb9,
+    0xc0ed71a9, 0xd8c90e3c, 0x600b13e7, 0xa705d9d8, 0x38ba4d46, 0xa09bf224, 0x1bcec913, 0xb706f913,
+    0x05844fbf, 0x35d245fe, 0xf36b8ca1, 0xdd496f78, 0xe6d93a0f, 0x4881e84f, 0xa3f98a28, 0xa3c5a1c9,
+    0xb4e91038, 0x9900623f, 0xe3c6667a, 0x63b576a0, 0xd6905513, 0x5f04436a, 0x266541c8, 0x9e44357b,
+    0x93e41a24, 0x686b5846, 0xe7ad57c4, 0x763d8fef, 0x8205ec29, 0x9cf60df3, 0x3cffca01, 0xd6864f33,
+    0xf9a5611b, 0xe1eb02ec, 0x6aa85935, 0x2fd257e9, 0xde4424e6, 0x5ea285f2, 0x16d23245, 0xab442d8e,
+    0x6b49d94f, 0x56a425e7, 0xde105e89, 0x8599a88e, 0xc556c38d, 0x30211be7, 0xecdb3ea3, 0x1cb65691,
+    0x593eb67f, 0xee68bdcc, 0x6a4c260f, 0x6240df6f, 0xe1f726be, 0x4ca577d6, 0xdfc98d6f, 0x1f96c597,
+    0x728215a3, 0x6c579bb1, 0xc82d7622, 0xbf0ecde2, 0x59fc40f0, 0x356e8765, 0x3f333c01, 0x33d4550c,
+    0x6f634d8b, 0x386e7f48, 0xb46998fc, 0xcf84c876, 0xe6157477, 0xe25c89a3, 0xe1dc7a32, 0x5bce9de9,
+    0x5aed07e6, 0x120fbff6, 0x8841072c, 0xae70e4c0, 0xf8f59d55, 0x82eecf05, 0xf415f9af, 0x401241be,
+    0xfa52dd3d, 0xc9f8d9be, 0x0dd47a19, 0x3a368de7, 0x40b91779, 0x3c94eb61, 0x1e58767f, 0x80df39f3,
+    0x263f12e7, 0x98e07aa1, 0x4230b347, 0x024e4903, 0x13d006c8, 0x8375ed60, 0x446af471, 0x698ac730,
+    0x7e9976ef, 0xab4e0650, 0x12f2eab7, 0x60f9b2cb, 0x07dd9ac2, 0x918a914f, 0xa13075f6, 0x93edc122,
+    0x79b687cf, 0xb5655de4, 0xe093367d, 0x6559672c, 0x206bd68b, 0x1f6955d0, 0xa348b57e, 0x6116718a,
+    0x079c6c0f, 0xbb8b134f, 0xea2be20b, 0x5d3f4504, 0x2b5ec87b, 0x5d91739a, 0x8ef23972, 0xbc7a33d7,
+    0x726bd578, 0x25325cc4, 0x36741df8, 0xba5b6908, 0x0a12d839, 0xceec2be0, 0xd8687d34, 0xd705c297,
+    0xc00c7556, 0xf0835eba, 0xa883d1cd, 0xdaaa9e46, 0x961aeaa5, 0xc6c2924d, 0xba5b6572, 0x68685383,
+    0x7e322700, 0x03096bb9, 0x9ea1adc5, 0xbfe6566f, 0x7090b03c, 0x4719e9be, 0x3aa13d54, 0x0a1f1490,
+    0x508a9b2c, 0x8d91c05a, 0x58be2529, 0x6b9bf8bb, 0xee9f06eb, 0xa3aa4fed, 0x5e95849a, 0x2e35c977,
+    0x6e7379ce, 0xc9001c76, 0xfacaaa26, 0x1f512cd0, 0xdb1a6bf5, 0xcc2f4451, 0xfa067277, 0x737965e1,
+    0xfc12cda6, 0x5f404ef3, 0xc8bf1235, 0xf7a37208, 0x482385b8, 0x3ba5280b, 0xcdfdbeb5, 0x4cbec149,
+    0x202117a7, 0x3d59b13b, 0x9a7a52f2, 0xe98f8310, 0xf42ae778, 0xfdeae3ae, 0x46f06d8e, 0x3b1af8a2,
+    0x8d9a39d9, 0xf6ab94d9, 0x1e78878a, 0xbe414b29, 0xe83f30e3, 0x8e280a61, 0xd7dde6f6, 0x3a92764c,
+    0x7274f727, 0xa3d4fe36, 0x4acfe48a, 0x0dfcd7f7, 0x8cc1cb8d, 0x85b6c20b, 0xe54092cd, 0x51540806,
+    0xe17126aa, 0xc6689889, 0xc48a5fc0, 0xd6faa2e3, 0xb1bd6b60, 0x6ec64355, 0x01398d20, 0x522a5124,
+    0xac909191, 0x0d97d6ba, 0x5d183b72, 0xa7629f63, 0x8ec75c91, 0x71b520e1, 0xc941ffb3, 0x7763bfd7,
+    0xa4856b93, 0x1f9aef2e, 0x193f567c, 0x70341807, 0xf6816d3e, 0x08fe94a9, 0xa94e1ae1, 0x03ebdd72,
+    0xc90c807c, 0xdc039ac2, 0xf258b92d, 0xc7238b74, 0xc18495a2, 0xf8bfd95b, 0x538e37de, 0xe8a44155,
+    0xc485a16f, 0xac6d0da3, 0xb9cd5ab1, 0xa4b1333f, 0x75e4339c, 0x6a9032aa, 0x7529f6f6, 0xd05b9d08,
+    0xe47462d1, 0xd4be9c94, 0xc20758e1, 0x39cc497c, 0x95238e23, 0xdcc82c7f, 0xb5cb94bf, 0xb38cc1d7,
+    0x4d9447f3, 0x49eaf4d6, 0x91d5d578, 0x94ddd099, 0x88a35d33, 0x053dc420, 0xc0a25441, 0xec459911,
+    0xf2725095, 0x34d2db61, 0xcf74bdf9, 0xacb13dab, 0x17892582, 0xa10aa2d0, 0xb003f6ae, 0xa1cd1d75,
+    0x07dd2886, 0xf9662a41, 0x432ce173, 0x11762972, 0x859de58f, 0xda6c6f5b, 0x5dea1ab1, 0x5a021f3d,
+    0xf4e118af, 0x130733fd, 0xdbbad1dd, 0x7a26df70, 0x7e36e73f, 0xa436cc4a, 0x723167a9, 0xd01ab15c,
+    0x897e7f65, 0xcc64a0b4, 0x3bc006c7, 0xe0e0bec0, 0x05bd7f09, 0xc5039b4d, 0xbe114e79, 0x02670594,
+    0xd085b814, 0x346526dc, 0xe814681f, 0xfe0c3ba5, 0xfd3f4173, 0xac9eae1f, 0x31e2d8a4, 0xf35894e7,
+    0x7e296a44, 0xe573ac3c, 0x0a971f67, 0x8230c9ba, 0x94957da6, 0xcb1b2362, 0xb61a2dfa, 0xa92eb33c,
+    0x3afa4f22, 0x05a59962, 0xe42fc5c3, 0xe906d914, 0x3fd4d82c, 0x88536a5a, 0x2fb13de0, 0x237428ac,
+    0xbf583b80, 0xdfeff470, 0xa110a152, 0x5be71652, 0xdaa135c0, 0x335e666d, 0x65932b02, 0x8d4e9714,
+    0xc66cb4bc, 0xa64c1757, 0xa564f7dc, 0x7de0488d, 0x1c310268, 0xb24fb723, 0xc738d9dd, 0x69d269f7,
+    0x4c71673e, 0xce74fa68, 0x9229659a, 0x25b1bd47, 0x544818b5, 0x4233f8be, 0x1f706ab5, 0x40bf2838,
+    0xdd18e255, 0x2ab9dde8, 0x9c591b6e, 0x55c93e46, 0xecffd450, 0x451e7079, 0x60b414a9, 0xbc957c3b,
+    0x0230d180, 0x03630e03, 0x4bb5dd06, 0x7e820b12, 0xbf1f426b, 0x4158d3dd, 0xbf0e82f2, 0x9fdf3701,
+    0x499a7aab, 0x8be6f96e, 0x02727df0, 0xb8985b47, 0x25b66a29, 0xe7dc3771, 0x28593a40, 0x5642f9d6,
+    0x4be21325, 0x7cdc2a19, 0xde34c0d8, 0xc195c1ba, 0xa190a2f4, 0xe36efc78, 0x58fa9f18, 0x803ddb5e,
+    0x00000000,
+    0x01b6d408, 0xb432e475, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000077371252455336267181195264 */
+  { 0x00000000,
+    0xf39235e3, 0x284d1d79, 0xf0ccb869, 0x0b14cacf, 0x159e1336, 0x43225fdc, 0x85f530c8, 0x17733ccf,
+    0x92a84721, 0x9ba5795e, 0x2ad4a54d, 0x19362b39, 0x4d6d2789, 0x8e7aa9e4, 0xc7e1afdc, 0x9461f16f,
+    0x809df381, 0x980d5ea7, 0x58df6404, 0x84f667fe, 0x1669d2bd, 0x5136c3f1, 0x7629637e, 0xde03631f,
+    0xa98c388d, 0x89677e0f, 0x082dda14, 0xbf1e5350, 0x9258bb6a, 0x5a94ff3f, 0x96cf1dd6, 0x2904a445,
+    0x767abfdb, 0x5db11491, 0x5f85d46b, 0xc4c8008d, 0x035aa9bf, 0x8ed74acd, 0xe54e4dfc, 0xe70c4991,
+    0x3241c4ef, 0x87df9b56, 0xcd1a9f27, 0xe100df98, 0xa4d63d5a, 0x4a331f6e, 0x667c47b1, 0x5e295b8c,
+    0xf065af4b, 0x504ab36f, 0x65cb1fc9, 0x05f1d59e, 0x165f02c3, 0x6fbf2186, 0x5a5445d1, 0x96e0e6dd,
+    0x17ee4853, 0x265af4e3, 0x238ba59b, 0x0ae20b70, 0x7535ac94, 0x3b25fe85, 0xfce859f7, 0x8c8d2f7e,
+    0x86e67d44, 0x45d40347, 0x1431ff12, 0xa487fbc0, 0x75821205, 0x2dfae4e1, 0xd027586f, 0x8b1a927b,
+    0xf5b417d4, 0xee7698e4, 0xd92c34d2, 0x6c55570c, 0x59788839, 0x5922cae7, 0x94d99d80, 0xced28685,
+    0xe0660f84, 0xf8b93f50, 0x94fc3ff8, 0x7dee38b8, 0x4fccd66f, 0x7b926ddc, 0x00f368fe, 0xd6d344ae,
+    0xf520c1ff, 0xf6c8a88b, 0x90da4630, 0xc2aedc53, 0x4662757b, 0xbccd5360, 0x01069353, 0xb3b6ec05,
+    0x97d9305e, 0x6faed598, 0xdb47ea30, 0x3dfbf589, 0xed083399, 0xa416f464, 0x0279b62f, 0x29923711,
+    0x23016bfc, 0x1008a761, 0xcd7b03e3, 0x523c8578, 0xe19b3132, 0x3eca8cad, 0x9d4ad12c, 0xd3c81b0c,
+    0x13d283ec, 0x37ed5099, 0xdd3b0338, 0xe6985340, 0x6988f547, 0x4f501f9c, 0xca7ebd77, 0x39be7736,
+    0x35eb3ffd, 0x8f880889, 0x252cac2d, 0x69b350b8, 0x1c1ad5bd, 0x260c48a1, 0x4f3d8d26, 0x3ff9dd56,
+    0x0bf47ae5, 0x19d956af, 0x954e2723, 0xd1e1bff9, 0xdcd37e11, 0x47f6bfbe, 0xcfa1ba8e, 0x8e096ec3,
+    0x1e707a72, 0xa1d6a432, 0x049a7f49, 0xe5aa49ea, 0x10d30348, 0xa5fe8a47, 0x76b20bec, 0x1a506da5,
+    0x0d32e1e0, 0x9b8236b3, 0xe90660cf, 0x57c38e01, 0xeaa58d4f, 0xe277bcb7, 0xac9ce67b, 0x3cab2d8a,
+    0x80715deb, 0x8f7dcc61, 0x824973c4, 0xf13ae60b, 0x0adb643e, 0x4f5c1e65, 0x33c96b37, 0xe100c014,
+    0x4efd3a42, 0x54fe2c45, 0xba5f6c67, 0x6b4913d3, 0xa225a03b, 0xaf04e595, 0xb65e8141, 0xa47c445d,
+    0xa7535148, 0x10f89915, 0x94a69b79, 0x84d5ac02, 0x52863f76, 0x263bcd88, 0x56c22635, 0xdf873a50,
+    0xb1606bbb, 0xca969c13, 0xf35d6090, 0x01579433, 0x325d0af0, 0xee30c44f, 0xa16324d1, 0x77c1005d,
+    0xaca4cfa5, 0x6fda18d3, 0x3df22dcd, 0xd9a3a80e, 0x8e852585, 0x71c35c58, 0xba47715c, 0x4fc59d17,
+    0x5ab3beaf, 0xb74e6615, 0xc0a5bfa6, 0xefd9d3d4, 0x9dc03fc5, 0xcbdd849f, 0x6f7451da, 0x398d006a,
+    0x226107b5, 0xe28efc34, 0xd8476518, 0x7526701d, 0xc109e7db, 0x0c60dfb3, 0x19570b1b, 0x18dc105b,
+    0x2882da37, 0x6f46b7be, 0x5f976517, 0xf5a7a0f3, 0xb9ec8d08, 0xf60021be, 0x2e157bfe, 0xa6ddab15,
+    0x460011f1, 0x4c9bcd27, 0x826055fe, 0xfe9ff2db, 0x7d8bd8a8, 0x29d6ac79, 0x708a66d6, 0xd3197146,
+    0x43f2a6e9, 0x9461e3f8, 0xb1852ab4, 0xd2be0b9d, 0x38fd270a, 0xf080dfd6, 0xc615295d, 0x5e145864,
+    0xb2d3e1a7, 0xf3fa504c, 0x3cbe3ec3, 0x31a3044a, 0xc4ce35e0, 0xf43f4181, 0xd6055c69, 0xbff00828,
+    0xfe923291, 0xed1bf0ab, 0x4149df17, 0x550d610a, 0x7be64b70, 0xea073981, 0x4a1cc0d0, 0x1f0c7496,
+    0xd1e7587b, 0xc41253c7, 0x637deea4, 0x6e7c3a9b, 0xee46a757, 0x7a62a8ae, 0xd93d07b8, 0x34c7f690,
+    0x24ff091f, 0x4416ef45, 0x8fc0bbe4, 0x4c6fecde, 0x8f15dfc7, 0xde3abcbf, 0x863ef35c, 0x9fde2992,
+    0xaf704c71, 0x88db156d, 0x1002fc41, 0xb046bdbc, 0x83b8ca17, 0x0ddc282c, 0x902c2cab, 0x6734655b,
+    0x0c616e1e, 0xd58af715, 0x68becd8a, 0x9e9165d6, 0x2c456fae, 0xee1ab906, 0x13752eca, 0x78a39015,
+    0x943ab383, 0x82423d4e, 0xc3a7deee, 0x0bdcb661, 0x8c580083, 0x0f03436b, 0xd5aec772, 0xf480e136,
+    0x4be2f8ae, 0x3d441b7b, 0x682b40cb, 0xdb77e99b, 0x6a888ce9, 0x69d689be, 0xc8446fb3, 0x8a328f2b,
+    0x1d64b39f, 0x4aa82d25, 0xea897b71, 0xa2662a4c, 0x45c95507, 0x81e2d4c9, 0xdb937913, 0xe337d234,
+    0xf057bd85, 0xac07f882, 0x6540fe98, 0x8b6226aa, 0x353c6ed4, 0xc0ee4485, 0x78ef9774, 0xae0ac2cf,
+    0x74a26648, 0x7710b621, 0x5c5ba146, 0xa454293c, 0xa6221f9a, 0xeeba8e48, 0x3a73ec86, 0x1121df78,
+    0xa06985c9, 0x2c4943b5, 0x99383c17, 0x5982fbc7, 0x5d85c2fc, 0xafe1b236, 0xb8714721, 0x37ea417f,
+    0x3784dd74, 0x83f3bf49, 0xe31de983, 0x65151d74, 0x06c78ee1, 0xcc20fd8d, 0xdc7b25bf, 0x76dd8a9a,
+    0x2fb55b50, 0x0beec57b, 0xe2327201, 0x9c99b532, 0x1eabb066, 0x9c241a4d, 0x0997ded7, 0x60fa443c,
+    0x7f59c843, 0x6ee78ac3, 0x664da8fb, 0x570bd2dc, 0xbe0c9e96, 0x551f3ea6, 0x216c8920, 0xa1703b79,
+    0x6d7469dc, 0x1499f78a, 0x9a2d66be, 0xd5a5b978, 0xf37e569e, 0xa2436a87, 0x09db093c, 0x614ad4f8,
+    0x28abe1d5, 0xcac82e2c, 0x0136020a, 0xbf761e70, 0x3ab559ee, 0x76ff3045, 0x3de7fff7, 0xb65cbf83,
+    0x1e351185, 0xfb81f16f, 0x6f25b023, 0x49d8d622, 0x7af05fbf, 0x8fd62b8a, 0xe48dbcbd, 0xbbeb5aed,
+    0x44d4bff1, 0xded58f20, 0x96b670a6, 0x6554c4da, 0x6992c245, 0xe423b515, 0xd556127b, 0x5f56681a,
+    0xace1f44c, 0x40a8c2e5, 0xcc3fbf8c, 0xdd8c5440, 0x4d8faffa, 0x70ee1d40, 0x0f0742cf, 0x32bcc7ea,
+    0xd08da813, 0x681c1a45, 0x88e808e0, 0xf9f75b1e, 0x0630e356, 0x20c9e34d, 0x3646a68c, 0x0a1deb7d,
+    0xa2416696, 0xff97af50, 0xf5dfbb3d, 0x29e8d1e2, 0xe0566032, 0x4ec9a30d, 0x83e32636, 0xb6fc8ec6,
+    0xdc6df5df, 0x2be75c84, 0x1762ea41, 0x12a8a820, 0x183b8706, 0xda4784f7, 0xb5859d99, 0x899db3bc,
+    0x506c9d47, 0x30e18d08, 0xa9534d75, 0x683ff67f, 0x3df7fc70, 0xff563a7d, 0xc351fad9, 0xec994bca,
+    0x3c5839ef, 0x24b2379b, 0x4ac1b283, 0xa0fe1724, 0xfbdd0117, 0xe17fd8eb, 0x84171b11, 0x8d735834,
+    0xb410ea82, 0x35a8417b, 0xf829420e, 0x97c70f17, 0x62310c2b, 0x477ce0e5, 0xa49287af, 0xbe0bbe0b,
+    0x22c0158f, 0x92b967fc, 0xfc8163f9, 0x69d6e15e, 0x0022da24, 0x18e869c4, 0x0f2887a0, 0x5f9120e7,
+    0xcd633f6b, 0xdb0894a1, 0x790a241d, 0x83fdcaba, 0xbeb4d469, 0x0b30cbc1, 0xa34dd28a, 0xcc9b89d4,
+    0xe2cab2ef, 0x38ea73ff, 0xdef1caff, 0xf21766ec, 0xed6d5b08, 0xef5590fc, 0xeae137d2, 0xb736553a,
+    0xcdda7f07, 0x868beb32, 0xcdc7965a, 0xa8ef67a2, 0x5400e0ff, 0x7c866d48, 0xec9d557f, 0x1ab0cb0e,
+    0xa6cf83d7, 0xef94d3bb, 0x4195188a, 0x84194382, 0x932e2766, 0xd4e3f80b, 0xe0276c8d, 0xff391ca1,
+    0xc9443649, 0x6176d7ee, 0x41acfd06, 0x52619150, 0xf606ed9e, 0xf0f1ed96, 0xc37b23b9, 0x7b5eb0e2,
+    0xb56048eb, 0xa33f1f67, 0x7c35445f, 0x7d13bf31, 0xa9aba465, 0xd9109858, 0x2bf1f02b, 0x15e08767,
+    0x294cb403, 0xb9e3fe10, 0x162b4397, 0xeeccef30, 0xbea5e391, 0x9310d736, 0x398d923f, 0x8198c816,
+    0x23dcc837, 0x0eef72ef, 0x89e4823a, 0xec0fbfd1, 0x6860ab67, 0x7caffd86, 0x00bfee87, 0x7da04b25,
+    0xdebdf1be, 0x361c73fd, 0x5e2be37b, 0x9ab5a752, 0x3249014c, 0xbb4d485f, 0xf1737f3c, 0x60be4e69,
+    0x1ed25148, 0x1e004ff6, 0x6e85df48, 0xf5df82cf, 0xb35933e2, 0xf8c6cf54, 0xa9cd3614, 0xd93b147f,
+    0x81b12eff, 0xc9691c51, 0xdb2a50ae, 0x66c2f372, 0x79b6a43a, 0xddb992b2, 0xbd7fae64, 0xb2c754dc,
+    0x2f69347c, 0x27faf7ea, 0x6ab8bffc, 0xe735fed6, 0x0dfa38a4, 0xf2d92ee9, 0x006b92a2, 0x0f90ef14,
+    0x1b020ff0, 0x51ff0aa6, 0x2578201f, 0xb73dce9c, 0x5a839dcb, 0xb3e512db, 0x3ceeec57, 0x30077648,
+    0xc350ca04, 0x2a3afcd8, 0x8e8e5107, 0xbbe49561, 0xbdf8a22a, 0xafdbdca5, 0x9ca01a9b, 0xc0084fe2,
+    0xf3705cd5, 0x74f8ef1f, 0x5141d923, 0x88714e01, 0xca42cbb5, 0x04a2b861, 0xf914971f, 0x7f98cee2,
+    0x6dc33cc3, 0x1aab2e8c, 0xbb0deac3, 0x695a9787, 0x03a7554b, 0x7ef1a726, 0x07a4d2b3, 0x238d2577,
+    0xfdb1dae5, 0xd2b2c4bb, 0xf8344c42, 0xb2004918, 0x8914341b, 0xf6ad7a32, 0x6edd484f, 0x1fd802f3,
+    0x804ac837, 0x3111548c, 0x61114a70, 0xe43fa6bc, 0x7e558eca, 0x523991a8, 0xd5046b1d, 0x479bd8d7,
+    0x82d05df5, 0x4ccd1eb0, 0x1bec3e2f, 0x4c4fd2de, 0x30b7244b, 0x9c237436, 0x8e3508e8, 0x28109812,
+    0xba67453a, 0xf85e7af5, 0x326092d4, 0xd0ddd586, 0xc9cf1453, 0xebd3b444, 0xea7234d5, 0xc59fc16e,
+    0x23275df7, 0x9726a537, 0xc8342347, 0x677b4b38, 0x8d7727d8, 0x11205f89, 0xbc7c059f, 0xaf1a1184,
+    0x8ea736e9, 0x6ccf1155, 0x9d9fb532, 0xbb21a2dd, 0x812187ad, 0xdb6173fd, 0x871cdf66, 0x16233976,
+    0xd32dcd3b, 0x05f05893, 0xd4a27830, 0x7a109026, 0x871ca60d, 0x8aada374, 0x95e0ab04, 0x199186f6,
+    0x5e2d26c0, 0xeceef767, 0x0b0b7585, 0x3b324d6a, 0x676ce477, 0x96f195a7, 0x4cdbd22e, 0x193a31b5,
+    0x64ac91b3, 0x266506cb, 0xbe5f3340, 0x9bbe0e6f, 0xc5d8c421, 0x9b71b7f4, 0x7e0a2d0d, 0x0fe6a4a2,
+    0x4a7471de, 0xd36864b5, 0xc22ccad9, 0xbfa4076a, 0xcc83bb30, 0xb07550e1, 0xee06cbb9, 0x5c701547,
+    0x3a26d65a, 0x00f1b7fb, 0x03c450e5, 0x96297950, 0xbd4ac156, 0x2cf0da0a, 0x3b9438fd, 0x4ca51c5e,
+    0x36d8fe79, 0x8f71bdc8, 0x818c68ba, 0x73a35427, 0xa8d24e72, 0x1a204094, 0x607e3ab5, 0xc6d227e1,
+    0x880509cd, 0x50c25cca, 0x47ae83c4, 0xa8f75acf, 0x63a7f2af, 0xf9420fae, 0xbc10e73b, 0xa17c90d1,
+    0x261d9725, 0x681de56f, 0xd2c967ab, 0x4b727b0e, 0x2ea4462a, 0x14a03b05, 0xe20d6f0c, 0xa8867776,
+    0xc784b5ec, 0xb7626245, 0xa8a44911, 0x2117e548, 0xe80ef721, 0xd8430cab, 0xf4bd7c6a, 0xb913f167,
+    0xc5e2809c, 0x54490dbb, 0xf2d49577, 0x5d6e6784, 0x1e587959, 0x2fb2dd78, 0x5efbcf1e, 0x78ae6cdf,
+    0x914a14c4, 0x35ba4e24, 0xaf230505, 0x32f52f52, 0x32b68138, 0x3396ab4e, 0x011221ee, 0xd96e7a97,
+    0xd16ae45c, 0xf6cdeee2, 0x606383b9, 0xbf880e94, 0xb3f2a0a3, 0x6a84de21, 0x04a44c97, 0xb7fd13f8,
+    0x16fdbd44, 0xc6d66c47, 0x5932ad1b, 0xd4a7097a, 0xf39de796, 0x0bef9d04, 0x37be5f44, 0x98c59f4a,
+    0x4059231f, 0xbd1e48f8, 0x290417c0, 0x2a6dc964, 0x23810a10, 0xc4827990, 0xb78b5af8, 0x6d24a6bb,
+    0x4feb95e6, 0x5daabc2b, 0xebf73695, 0x99068c74, 0xd5e6c94f, 0x80a1148a, 0x59332a3c, 0x7f735c12,
+    0x52507b69, 0xb7fba6a7, 0xdbbf7fc6, 0x7a4c7b9f, 0x5d2e89a6, 0x4310641a, 0x04b32021, 0x03379c01,
+    0xfb502572, 0xa802782b, 0xca23840e, 0xe11fec95, 0xbab5ac72, 0x68a24ebf, 0x7f710375, 0xfc98ed6a,
+    0xd43851f4, 0x1059aeaa, 0x30cc8a42, 0x299fa79c, 0x1430116b, 0x2332c860, 0xeca1ab20, 0x7180763f,
+    0xef1cf16e, 0xde12376f, 0x4e135920, 0x8da88568, 0xaeb4a6e5, 0x5e49a00f, 0x1f7a6eb8, 0x322783ab,
+    0xfc5840a1, 0x4e883c62, 0x3c73c76c, 0x8ee42ef7, 0x9c02afb6, 0x46c5f0be, 0xcd8796f9, 0xb14a7fb3,
+    0x037b243f, 0x1be8690f, 0x69fa0a3b, 0x546adc24, 0x9a98a07a, 0x4c12e0f1, 0x095bb0e7, 0x51f057b5,
+    0xaabb2a2f, 0x2129292f, 0x8a1dda9d, 0x71063403, 0xc9ad4de8, 0xc611648f, 0x3a27deac, 0x5827b54f,
+    0xa42fb626, 0xb32542b2, 0xd28c15f5, 0xb8bebba9, 0x4ed529b5, 0x880e8d29, 0xe1ce349e, 0xf25e2e35,
+    0x7a44547c, 0x9e0167d7, 0x7d0e0592, 0x21e5a404, 0x89fbaee9, 0x9bfc2d72, 0x11859856, 0x71945108,
+    0xab07554d, 0x71efc0e9, 0xb68a64ff, 0x4fa1d926, 0xf37cd2dc, 0x14ef17c8, 0x6855155a, 0xf3d6b98d,
+    0x91d65163, 0x29d8f6c1, 0x301eebee, 0xc90d5f32, 0xe017ce2f, 0x207a73a9, 0x6524671c, 0x8264a889,
+    0x745e98fd, 0xd6fe3f41, 0x988859c9, 0x17f40ebb, 0x6941eefe, 0x7694508d, 0x3729b746, 0x394d6eba,
+    0x9f4b822a, 0xa6a0a476, 0x23b74a17, 0xca84deb1, 0xaacca305, 0xe161d0fd, 0x8f9d621f, 0x7032cfd6,
+    0xf3b9e3b3, 0x54699e0b, 0xb23ff23a, 0x428843b5, 0x0384bdb9, 0x0c44b56f, 0x0aaaf607, 0x5148677d,
+    0x02fe8c41, 0x76e6840f, 0x1faf3b03, 0x4ceb24a4, 0x83d91226, 0x45b74b46, 0xd81e0da6, 0x30bf9185,
+    0x810f7b46, 0xf4af166a, 0x3f84ac7b, 0x8a2f10b9, 0x8f6f7202, 0x0403d48f, 0x5f8ff9fb, 0xb84e743f,
+    0xcb6650ae, 0xe4e5e471, 0x021efa43, 0xc99da219, 0xcb91f732, 0xf6fd3c0d, 0x30884a5d, 0x3733c499,
+    0xcee1e0a3, 0x689078a6, 0x65a7c228, 0xa65dac73, 0x722fcb56, 0x3064b08d, 0xfaf64872, 0x6e42a9c7,
+    0xdd0ae129, 0x39cad9dc, 0x1d801cae, 0x3d90bc09, 0x10e7e262, 0x4a37305c, 0x9528ab49, 0xabce055c,
+    0xe8be4fe3, 0x5ef9945d, 0x6a945199, 0xe599a240, 0xd77f9164, 0xb42cfc7f, 0x2469d61b, 0x665cb090,
+    0x0987ba85, 0xe38aa1ac, 0xc147d1d3, 0x800f402a, 0x8fd6311f, 0x84349364, 0x6cfc9168, 0x0b7c2168,
+    0xb23de707, 0x0bdc3cf0, 0xfb8cad99, 0x7422e369, 0xf1058a67, 0x789a79c3, 0x886d9c33, 0xa3fb5109,
+    0x7cba035f, 0x18691460, 0xc42863fa, 0xd331850c, 0x44c464c5, 0x58155d42, 0xde3da46a, 0x59b7a30c,
+    0x916dff60, 0x2f350153, 0x3713b3e9, 0xb7972b5e, 0x9693a737, 0x471c27d7, 0x3ba6a91c, 0x066232ad,
+    0xa98974ae, 0x4869bedb, 0xdcc9c6ed, 0x95662b05, 0x89422bb5, 0x31c554f9, 0x833f6cd7, 0xc126d5e2,
+    0xb0efda09, 0x5b2a4b41, 0x59a1e466, 0x5d3b10c1, 0x97e98c2f, 0xf9424f42, 0x52a37859, 0x2d12fc77,
+    0xec3da3b1, 0x3e2b1211, 0xf88f8aa9, 0x56044adb, 0xf255c38c, 0xbad4d022, 0x9d40b1c1, 0x40d79283,
+    0xf3868bf3, 0xd57a64b3, 0xa39a8dbc, 0xc08e2415, 0xf00e0860, 0x7ac834fb, 0xfdb5906a, 0xb5fec423,
+    0xd726c143, 0x7a804882, 0xd556ef65, 0xd2714f35, 0x47f8bb31, 0x2b50c12b, 0xda328ec4, 0x267ff606,
+    0xf1d78600, 0x6866bf0e, 0x12d0e02a, 0xce7c8a04, 0x45493e74, 0xf90ea18d, 0xaa5e3550, 0xef2f9651,
+    0xbec38a75, 0x676e67c2, 0xae24c72b, 0x86356cb8, 0x9f07c678, 0x1423174c, 0xe513cffd, 0x36a0b2d3,
+    0xde5541ae, 0x9a3ab5ff, 0x1b16b485, 0x683ac061, 0x80676d16, 0x8236e3ca, 0x172d37a3, 0x8dcbdd3f,
+    0xf65d9d29, 0x46c3dbbf, 0x09810c54, 0xd9c5cc3c, 0xb1099fe2, 0xe150fc3f, 0x5b7561ef, 0xb530ab38,
+    0x00000000,
+    0x80db6a03, 0xda19723a, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000038685626227668133590597632 */
+  { 0x00000000,
+    0xfcdc523e, 0x3e8f8eea, 0x2a49f84c, 0xcba1cfa9, 0xb335cf5a, 0x305626eb, 0x62a80cce, 0xdc8e07aa,
+    0x1ea5f3fd, 0x111e2388, 0x2fa4fd93, 0xfe073475, 0xd31be6c2, 0x28b8fe2e, 0x07396ddf, 0x845c520c,
+    0xbdae052e, 0x221b9504, 0x98d60210, 0xb40f64e1, 0x124851c0, 0xb5ea3e70, 0x998b889d, 0x80cb1e9d,
+    0x3e1e4964, 0xc7065e13, 0xe79db424, 0x52c0f0ef, 0x7102c146, 0xf20613c3, 0xe3cbc64e, 0xe4888a8f,
+    0xd624f115, 0x87154ba9, 0xe59a761f, 0x973c9631, 0xf715a1fc, 0xb2ebb655, 0x2883ae1a, 0xbb9f864a,
+    0xb78fa254, 0xf7436d98, 0x6907edc3, 0xf2ca91ee, 0x98a6cb4f, 0x08a58fc7, 0x990d0dc7, 0x4c44efae,
+    0x5b39a060, 0x0cd739a7, 0x44ddfdeb, 0xd5950fc7, 0x382e3a6b, 0x02784da7, 0x9afd5ddf, 0x335334c9,
+    0xe724401f, 0x8dc6da86, 0x3e2b6ed7, 0x0ddb0190, 0x9df26d9c, 0x52368445, 0x753fac9d, 0x62044315,
+    0x309eb3b6, 0x2db44070, 0xb2de1969, 0xeeb66c89, 0x9623541f, 0x6c7a88e0, 0x6fb3365d, 0xbbd34b27,
+    0xddd9b1f2, 0x1e86250b, 0x4a28441e, 0xcf7e24df, 0x62f2571d, 0x9f29b0de, 0x19bd6902, 0x1c1ceb51,
+    0xa01a2ea3, 0x1ad675a8, 0x76f046b4, 0x9c6bbfb5, 0x2c9db52b, 0xed941514, 0x13bb7319, 0x90b67417,
+    0x566b80bc, 0x72fc9b7e, 0xfe1e1c68, 0x32454916, 0x4ba2219f, 0x67000b6a, 0x8587a695, 0x2731b185,
+    0xe38cfbad, 0x90bab5a4, 0x9ad6e20b, 0x0c017d8c, 0x077079d8, 0x4096904b, 0x69c0041f, 0x6ab08066,
+    0x81ab1fd3, 0x60b0abab, 0xa930a66f, 0x92eb8d8f, 0xf6bfc449, 0x723c68b7, 0x4f02d470, 0x763b5d4b,
+    0x5a104b6e, 0xd5a98ffc, 0x98b9381d, 0x2ec3202e, 0x3dd31a22, 0xdebaeeb6, 0x52549e75, 0xb8dc1eb9,
+    0xdcb77037, 0x9e9152e0, 0xf0cee302, 0x764e887f, 0x9793da65, 0xbb198ad7, 0x15a77b0f, 0x62cd644b,
+    0x692c7016, 0x4737a468, 0x9512f47f, 0xdfc27103, 0x626d13aa, 0x87d9341d, 0xea181a01, 0x2e20c2d3,
+    0x5dce8f0d, 0x40640582, 0xa98a29d2, 0x099bedf6, 0x7af42cfe, 0x32da7add, 0x09641a6c, 0xc37b37ff,
+    0x9720be62, 0x40caee86, 0xe02a62f9, 0x7e591063, 0x4a1deb2e, 0x1b006bb2, 0x53527eed, 0x99b02d70,
+    0xd7afcb08, 0x7b55a7c1, 0xbcfa281c, 0xcc15d24c, 0xf925c929, 0x84562f22, 0x1d7e5f3c, 0x05dac2ef,
+    0x7a0b40d4, 0x486fed77, 0xe1fbef01, 0x04e43153, 0x2dbf3a8b, 0x42635f1b, 0xee67c455, 0x5ecce5db,
+    0x5ff316ab, 0x7418dd23, 0x0b1dd0f8, 0x9a27dc28, 0x07a2c108, 0x3cb04b01, 0x1822c785, 0xca3c7588,
+    0x6e690fbe, 0xa4b6887e, 0x66a90a1c, 0xb9b50a50, 0x2dcd83cc, 0xd08fca39, 0x77fe5376, 0x17c443dc,
+    0x476c5e28, 0xe946466a, 0x1143994b, 0x6bbfd8cf, 0x297820a0, 0x17a0a46d, 0x9db6f2fb, 0x7e841bfd,
+    0x9c04b054, 0x84dcb718, 0x1b6d84d6, 0xa82ccf55, 0xb09834f2, 0xd22c8a82, 0xdc945d8f, 0x1bb093cd,
+    0x23ff9967, 0xe792530e, 0x333a3dc4, 0xb6391dbc, 0x058b78a3, 0x7ab7455c, 0x589dca60, 0xd0944557,
+    0x3be1537c, 0xe1298288, 0x642e800d, 0x4d65e254, 0xab191811, 0x8dd4720c, 0xe9ee1779, 0xe106f0e1,
+    0x22a5f5ea, 0xc754484a, 0x59fd2577, 0x51989c6f, 0x9bb47a88, 0x86e5ee15, 0x1b1642ac, 0xebb49b07,
+    0x06cf7a06, 0x747a5ed2, 0xec5afe9a, 0x99c9c3bb, 0x3d30ed7b, 0x3dad2f55, 0x8b9d7b6f, 0x8d1ce20f,
+    0x87eb2849, 0x312bc589, 0x250ddb01, 0xd58da577, 0x3af999b7, 0xafa8e42f, 0xda54b1d3, 0x738af78a,
+    0x708e0122, 0xe2d4eda3, 0x4c896528, 0x03ba0b11, 0xd6df05d3, 0xb8e78275, 0xd2a099a1, 0x8d3ac464,
+    0xf8e4b162, 0x326b91ae, 0xb365c844, 0xf8c51d92, 0xb9b1553d, 0x2cdf9ae6, 0x6bb31b18, 0xbf7211ce,
+    0x09bc613a, 0xa5f41b48, 0xc348389a, 0xda0d7e87, 0x7a92e130, 0x322f8e54, 0x8eac655a, 0x4c5e1b0c,
+    0xca169e86, 0xb18a0e88, 0x6b69fc51, 0xeaf2b9ce, 0x6023652b, 0x9d148760, 0x41080119, 0xbfec4421,
+    0x04e15aca, 0x6985b1e8, 0x29e8bdb0, 0x1de91bd8, 0xc4a366e2, 0x356519f8, 0x960c3388, 0x7f1a93f0,
+    0x1c58cc06, 0x6517ac55, 0x09ff8ae1, 0x39c099f4, 0x21a34535, 0x24a024e8, 0xe87977d6, 0xd3e22466,
+    0x7cbc34f8, 0xbfe507bf, 0x436853e8, 0x00f719c3, 0x6c1f9a46, 0x55933749, 0xdd879c33, 0xa4d89195,
+    0x205029f6, 0x24ad53b0, 0x73995c08, 0xb212deae, 0x91ed4a26, 0xb9b7d3c0, 0x0f54d6c3, 0xe8ac4a48,
+    0xd2fe6e09, 0x78d45536, 0xda5e0dd3, 0x7468322d, 0x0fe0e3f6, 0x3e1b9174, 0x5bc8b001, 0xa64d7bca,
+    0xf7fda501, 0x3135f4ce, 0xd2fe9c0c, 0x66e970b4, 0x7045a2ad, 0x579a9e10, 0x209e2e26, 0xa5debc78,
+    0x45b4e25a, 0x37260a8a, 0x72abe372, 0xb3cefcbb, 0x5691c627, 0x8fcb3b6f, 0x1afe7eab, 0xd7529665,
+    0x1a210fcc, 0x0c3022ae, 0xb0a929ca, 0x6f7f84f2, 0xc4f13d2e, 0xa48abbd0, 0x593f11b3, 0xa59aa3e9,
+    0x623625f3, 0xf3fb8a88, 0xdd9e9314, 0x0978566f, 0xf5c44f99, 0xf263b6c7, 0xfc17f40e, 0x4c6f73d3,
+    0xf415013a, 0x7408ae86, 0xeb24383d, 0xe4c3545f, 0x26530d5e, 0x7184a306, 0x59bc2343, 0x52b6daa6,
+    0x95384677, 0x7eff7ef1, 0xd79e3691, 0xce091365, 0x161f994a, 0x98f6fbcc, 0x3b27c33c, 0x76f69712,
+    0x12c681f7, 0x2e7f7933, 0x74a1bf52, 0x9194a0d2, 0xc9c2f8f9, 0xf0b5221c, 0x9cb26930, 0x0cabe433,
+    0xad6d5fad, 0xef340dd6, 0xd67809f6, 0x5f0478e9, 0x1cfb7064, 0xdda9f8d0, 0xda49444b, 0x73cfee7f,
+    0xcb067935, 0x40aa450b, 0xc0351733, 0xd5c414a6, 0x82cc8887, 0xf7d0ca31, 0xec401a6b, 0x6cb17957,
+    0x936061d5, 0x02e5c198, 0x3cd112b4, 0x8181e815, 0x1a53f08a, 0x2bee6d90, 0x60dd22dc, 0x61dd62de,
+    0x832fe9fb, 0x5b504249, 0xc1097a1c, 0x6ce72b9f, 0xa204d92e, 0xaa60185f, 0xb61d76e3, 0x0e3e418f,
+    0x9becff84, 0xcdfb737e, 0xfb39f8c2, 0x3aa3eda7, 0x5b19cf63, 0x7443cf01, 0x0a9a650c, 0x342cdcd8,
+    0x8ff05bec, 0x29115d6a, 0xfb90e6da, 0x3c91c55b, 0x94096f12, 0x253cfcbf, 0x7f03e1e6, 0xd0469809,
+    0x3ad0565f, 0x387a0ffd, 0xc64211a8, 0x9a8f6576, 0x4cb13c6a, 0x6c27586e, 0x210ad2ad, 0x22cd93f3,
+    0x272f879e, 0x2d6f6ab3, 0xfcac2fea, 0x4a5cd39c, 0x5a1708fb, 0x385e7e75, 0xa8cc2707, 0xf736baf3,
+    0x8034ce06, 0xd83e9ecc, 0xdc411873, 0x54280f25, 0xbeaed13d, 0x41ac43be, 0x6e273cd0, 0xb86f800f,
+    0xb9b6a68a, 0x6527a4bc, 0xd3318f07, 0x70335742, 0xfb29af78, 0xbac97e35, 0x4411e104, 0x04b8d121,
+    0xae72c925, 0xe88f838f, 0x5ddb2e05, 0x9140fe0b, 0x8cfbc17b, 0xff6f6bf9, 0x5d07d22d, 0x3acf360b,
+    0x253bf91c, 0x1b8e9c2c, 0xaa64744d, 0xdf4c38b9, 0x6395fad5, 0xde5e6486, 0x489f92e8, 0x0ee2be98,
+    0xf892af15, 0xa1328650, 0x59e8b885, 0x2f9f6c95, 0x77744dfd, 0xa83c4606, 0x8b8c93cc, 0xdd52d4d7,
+    0x8c15472e, 0x705dd321, 0x546cde23, 0x835f2362, 0xa4933ccb, 0x90ca6f15, 0xaef0caf3, 0xcde7621b,
+    0x402987b2, 0xce7d552e, 0x87d6d651, 0xe322b50e, 0x2a69bc5f, 0xf77c9cc2, 0x4ed3c6f4, 0x8c5c8a10,
+    0xcff4afb6, 0xc588fd54, 0x94e74320, 0x8638853c, 0x9961d1f9, 0x1553eae3, 0x50822d25, 0x3a5c661d,
+    0x504b90f3, 0x7027e1b8, 0x35be1360, 0x73796ea9, 0x7672eb65, 0x8e4c0320, 0xbc249904, 0x8448d222,
+    0xb41c608c, 0x627560f2, 0x25eacaac, 0x97b4ded5, 0xd209a92d, 0xb7c28dea, 0xa9ba5707, 0x19d1f9b8,
+    0x2127b229, 0x2367b26c, 0x3a92e2f4, 0x9646816a, 0x8190dcb2, 0xcc158e11, 0x46ee5c99, 0x8a74810e,
+    0x106519c4, 0x133074d8, 0xd7cd69de, 0x5e2b5ae7, 0xf3c4ba9b, 0x42528ef2, 0x8f621f51, 0xe96cf6a8,
+    0x6bb1fed1, 0x89db2988, 0x5d47d361, 0x1f51c4f9, 0xc5135885, 0x79b62cc6, 0xd3187136, 0x8b21980d,
+    0x90d5ad3c, 0xa6d91f5b, 0x63b182c6, 0xbe0186ca, 0xf85a7bdc, 0xa382d01a, 0x25c5b9a5, 0xe58115a6,
+    0x53b86982, 0xb92853f1, 0xe2a1ea9a, 0x32ff5082, 0xfbcdd848, 0x80b06383, 0xd1db3ac2, 0xf563f4c5,
+    0x56af29ca, 0x1feed3e8, 0x0af40cb4, 0x18877dc6, 0xec69e2bc, 0x98b2b13b, 0xfb0f60aa, 0xe0254202,
+    0x8e5f6918, 0x01f85b70, 0xa7787c13, 0x9a873d61, 0xae717d14, 0xe7ff5454, 0xbd43b932, 0x28959982,
+    0xf8c1b2df, 0x20fd179b, 0x7c099ae3, 0x8933af9a, 0x1d798198, 0x95e28c50, 0xe4ac246f, 0x7af61b7c,
+    0xdb33a370, 0xff87e0f3, 0xf18206f7, 0x9eb81d34, 0xa3d8d987, 0x3074604d, 0x661386c7, 0xcd23afa2,
+    0xf37236bc, 0x23344afc, 0x35c2ab4b, 0x309c9e23, 0x566971c1, 0xf73def15, 0x570fcc83, 0xe9d786e5,
+    0x12a1f331, 0x04d257c9, 0x70d81775, 0x63b343a6, 0x176c0942, 0x0423645c, 0xe1bc27d9, 0xaf2eb4ed,
+    0x33c2455d, 0xd0b7defb, 0x8116dbf1, 0x3ddaee33, 0xc80825cc, 0x59f26f9f, 0xafd5613e, 0xacf5dd60,
+    0xf90d3d23, 0xe5c95202, 0xf06195c6, 0x2e6fd695, 0xbf392057, 0x53fd7954, 0xc1a4e63e, 0xc7a4147e,
+    0x5acb950a, 0xf5ca4bc6, 0xcbbe3e33, 0x6b451d53, 0xd5c2ba7e, 0x07b32824, 0xa1fda206, 0x0e7238b6,
+    0x57a59b46, 0x0c51ba12, 0x03d5a6f9, 0x65feec72, 0x991ae55d, 0x981e216d, 0x2300a207, 0x5e3b2f85,
+    0x99ff1f6b, 0x62c9e389, 0x641c31dd, 0x0938093b, 0x5aeea718, 0x0c2426a1, 0x5903d98e, 0x665e02bf,
+    0xc2243fe6, 0x20852439, 0x870e0b3d, 0x2d65b92e, 0xe8f4bb2a, 0x215cff96, 0x2b541111, 0xc8bcf064,
+    0xaee4bf75, 0x734d18e1, 0x4edb28ea, 0x2b28db56, 0x1b2cd83e, 0xbd395a3a, 0xa8e4c79b, 0x5349e88e,
+    0xe8445605, 0x90a16e4f, 0xff748091, 0xf0150486, 0x037dbe84, 0x3dc7acc0, 0xf594f3e9, 0xabcdc88d,
+    0x12c148ee, 0x28099a68, 0x53e5508e, 0x70135890, 0x14364188, 0x02fe9a8d, 0xf663cb4c, 0x133e03d6,
+    0xf585d104, 0x27486891, 0x53046e01, 0x18870de0, 0x31a84b5f, 0xef04599f, 0x27ab65b9, 0xd829f18c,
+    0x3f0489ad, 0xb3d1e8c5, 0xd4e62a84, 0x04055957, 0xfa4699ce, 0x8da562d2, 0x7e30d142, 0xc8b0e899,
+    0x88d76a1e, 0x165afcd4, 0x76a04b59, 0x68a768e4, 0xe88a6007, 0xec7687a9, 0x01c38b39, 0x18ede888,
+    0xf8000870, 0x3542363d, 0x74a1ad62, 0xb0878521, 0xee78effc, 0xde5961a0, 0x4221b15e, 0xadcb8060,
+    0x10c251ca, 0x825df861, 0x0efb9daf, 0x706f6696, 0x64439a21, 0x3edb4555, 0x9f21c1a3, 0x8efe9567,
+    0x8959dadc, 0x58253266, 0x1077fbd1, 0x40eb1f20, 0xbbc1483d, 0xa6288f31, 0x69e684d8, 0x6d2d77e9,
+    0xd64b8e65, 0xf33c9e80, 0x64300dbc, 0x9585f712, 0x2ebfab63, 0xc190f9d2, 0xd94500ec, 0x26d05bd5,
+    0xf6d20643, 0xa041ad93, 0xebf9c8ab, 0x338e7a84, 0xb8a30918, 0xceb03ef4, 0x8aa0c3d2, 0x6505fb08,
+    0xe3b34607, 0x3490a5c0, 0x21270cde, 0x318b9d6d, 0x81d3bd0a, 0xb1adaa9f, 0x59ad99bc, 0x72dd8805,
+    0x8b4cb600, 0x4505117a, 0x6edbc4a4, 0x622c95ac, 0x75fce869, 0x7031cade, 0x76f00793, 0xb48ba4f7,
+    0x9b1c9da4, 0x2371f545, 0x5023e7bb, 0x07d26037, 0x5774ab4c, 0x623ce585, 0x23c3fd45, 0x33b53e0d,
+    0xd1b1a51c, 0xd773a38b, 0xc430a41c, 0xce5321c0, 0xe7f2c8b3, 0x051ea778, 0xcf6b3a0d, 0xed8872b9,
+    0x4bf81a36, 0xd6920c00, 0xf5e944d4, 0xbf9a7c46, 0xc0257f15, 0x666b5e13, 0xa41efad2, 0xdd04878f,
+    0x0ac7762e, 0x67eaa54c, 0x6e2be4a4, 0x57a00f44, 0x20799de0, 0x96b4b6ef, 0x4de361cc, 0xafe6be08,
+    0x785f22d3, 0x2ea5c13d, 0x5a2473f2, 0x37528ae4, 0xb770be35, 0xc8709ec6, 0xd834f449, 0xeadf2783,
+    0x642febc4, 0x7feaf248, 0xd187824b, 0x3856eadf, 0x1b5f2903, 0x1b28cd19, 0x72666879, 0xd72508ca,
+    0xc4b8ae5e, 0x5faada37, 0x8d195732, 0x759b4ecf, 0x0d0f5175, 0xf6aaaf79, 0x812510a5, 0x2debe230,
+    0x77dccf7d, 0xb8d22b3a, 0x4e444ba7, 0xb91a32f0, 0x18a4b6b1, 0xe5e93cad, 0xb1bc8bd5, 0x71f9e712,
+    0x4d551cf5, 0x623a810c, 0xb3c1b25c, 0xb5b669b6, 0xd77f3bf6, 0x0d7bc515, 0xbcef8cda, 0x3338d22b,
+    0x8b51c82d, 0x853f44b4, 0x90c2eb1d, 0x39d7ecda, 0x0f50f151, 0x96571fca, 0x24661610, 0x9fd78bb6,
+    0x02083f1d, 0xb58c466a, 0x48fb2427, 0x49330325, 0x0e1114dc, 0x18d4a48b, 0x689a8466, 0x0dfc5e52,
+    0x028b167b, 0x5317ab8c, 0x075f4472, 0xd3806b24, 0x0656716d, 0x35d9867e, 0x33b93482, 0xb34c8ec0,
+    0x84eee103, 0x5c4adcce, 0x183191d7, 0x524b74f0, 0xf0f77091, 0xaa63b371, 0x0941585c, 0x405c9023,
+    0x05d2b84c, 0x5dd3f9da, 0xf9607241, 0x871c4074, 0x5dba14ed, 0xdda0d07c, 0x5592ced2, 0x7b3f2baf,
+    0x7ae43636, 0xb85387bb, 0x044b06fb, 0xeb8b5201, 0xf4643fbc, 0x514ecb0a, 0xec740d1c, 0x5dba831f,
+    0x570a259d, 0x71c22e75, 0xe144fc0d, 0xc9b7cfcc, 0xd722046d, 0xecc4fe67, 0x4c3fa6f6, 0x56a4b0f0,
+    0x9a2fb613, 0x0b30490b, 0xdda855eb, 0x9942dab0, 0xa6df9536, 0x2936c91f, 0x2e1881f5, 0xbe352d94,
+    0x55714b33, 0x4b8f5f64, 0xde8fe48c, 0x13167829, 0x1cde6fe5, 0x0a0fb637, 0xcac99a46, 0x46e9be21,
+    0xb2793256, 0xa2422b1b, 0x7a7b4e26, 0xd4a8a932, 0x2609acf0, 0x31483004, 0xffeb182e, 0x3826108f,
+    0xb5b5e5d6, 0x8dcf6c25, 0xba719f24, 0x2ba8d68a, 0xe4db2cf2, 0x05db75ac, 0x4cbac201, 0x2ab9a67f,
+    0x02d9e530, 0x9cd845db, 0x5f58de07, 0x4c46136b, 0x7f5d9d27, 0x0c11a2fb, 0x7767e44a, 0x2c53896a,
+    0x013654c8, 0xbb5cf88e, 0xe299017a, 0xb42912eb, 0x2f080aad, 0x156bd72c, 0x4a03dd73, 0x8c1320a5,
+    0x17d87e73, 0xb10c4de7, 0x92f5a0e6, 0x62cf5aac, 0x0a43e014, 0x632c0746, 0x95dc6d82, 0x3759468b,
+    0x865ea700, 0xe064b688, 0xc7bfbb0d, 0x9d377511, 0x5560e4aa, 0xbfde82b0, 0xaa88dff4, 0x5eaa7f30,
+    0x189f3257, 0x0bf38ca6, 0x4f6a7e6d, 0xc7cd0e5d, 0xd9db9c4e, 0xdb9ef69f, 0x1c5ba87a, 0x1d2bc328,
+    0x2f7c7348, 0x5a0684ea, 0x79e09ef6, 0x3bbd5a99, 0xa6270174, 0x4ec8da73, 0xceeb182d, 0xfdf63dfd,
+    0xa54cd523, 0x6c41896b, 0xf7bffe99, 0x35b3b75e, 0x97f161dd, 0xf5b95c6e, 0xe5f758e4, 0xff0cc3e4,
+    0x7c931f6f, 0x944943c1, 0xcf443c82, 0x67ddaf52, 0x4db1e267, 0x67dcbfc7, 0x497a2417, 0x5d142ef6,
+    0xab718397, 0xa6355d46, 0x55fd9c74, 0xadb50b33, 0xfb4b2f0f, 0xe3b90db0, 0x522f1faa, 0x673a6329,
+    0xf2d04157, 0x8bf776e5, 0x9960cea9, 0xbf2d3ed2, 0x0ca93182, 0xaa6d6f21, 0xc1d137c3, 0x6aa8b63c,
+    0xe984f3e4, 0x5861d66c, 0x8c6b644a, 0x327841ab, 0x28c9f9f6, 0x4f71cefa, 0x7c027472, 0x209cee02,
+    0x771dc568, 0xa6b1f7b9, 0xdebdc673, 0x85865c99, 0x5cf4e42d, 0x16d8da99, 0x6e52f36a, 0x984a50df,
+    0x00000000,
+    0x406db501, 0xed0cb91d, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000019342813113834066795298816 */
+  { 0x00000000,
+    0xa10f2bd4, 0x7c0aa270, 0x2066bfd9, 0x3ecbbaff, 0x7529c34c, 0x12040f1c, 0x39c12998, 0xf60e761a,
+    0xa5a13c4b, 0x01428a80, 0x16d544ac, 0x3cb789b4, 0x1a75b01b, 0xc73a3044, 0x2a82cc04, 0x6514bdbe,
+    0x3ee89ee6, 0xa31b4b9c, 0x94bbdc9f, 0x1ac955c0, 0xcc914d6e, 0xfe221f22, 0x5aee8e1d, 0x15554a3b,
+    0xacf9f6e5, 0x0e07263c, 0x46a5d5c1, 0x7a8fcfb3, 0xbd4d666f, 0x1f13c2ab, 0x9d57e88e, 0x878ecd0b,
+    0xccb7b3ab, 0x470af857, 0xee1445da, 0x4f306956, 0xbbdb1d8b, 0x61d29825, 0x18b0c4c4, 0x74f4da29,
+    0x4c783f90, 0x8864aa7e, 0xc0a11341, 0x62344e43, 0x48c0237f, 0x797695d2, 0xcd7faa2a, 0xc60e484c,
+    0x606bc412, 0xf0f78ffc, 0xf2c916aa, 0x2efda8af, 0x8678a915, 0x3be4f034, 0xca73c510, 0xf4f7c2f2,
+    0x38ed3d26, 0x582f2631, 0x6fba43e3, 0x440afc0f, 0xba288b54, 0xe051d889, 0x160bb05b, 0x2c0a4be0,
+    0xda797a81, 0x07b64a94, 0xe11893e6, 0x90fb60cd, 0x7ba01f85, 0xdad267f6, 0x10992b22, 0xdaa8b12c,
+    0x4494fef0, 0x8b2e8961, 0xb40ad0c5, 0xa25d3330, 0x04113d13, 0x1461b735, 0xac0e085b, 0x8a0c563d,
+    0x4d20df8f, 0x6549da78, 0x15c1935d, 0x20827669, 0xb7ea3c3f, 0x7a36ace3, 0x8fa175e8, 0xb0a5e445,
+    0x103084b3, 0x7aad622c, 0x0a0ef3f8, 0x0481d5c2, 0xca8fef65, 0x94530617, 0xee423695, 0xac5ac990,
+    0xc9bcd12d, 0x7eb847be, 0x3a07f4e0, 0x011b2696, 0x1a5fb329, 0x762993ec, 0x1c1fc665, 0x0b3ad42e,
+    0x277850cc, 0xb825efe5, 0xe244012c, 0xab2cef69, 0x2d1417c9, 0x5c3701cb, 0x271a82ae, 0xf63c274e,
+    0xcd7f5924, 0xff942d82, 0x6dde4da2, 0x39e34d8a, 0x0801e116, 0x5ac5044e, 0xd5913d21, 0xec915bfd,
+    0x91134af4, 0xe602afc9, 0x701f4063, 0xf6596d13, 0x78d4d24c, 0x11b92725, 0xf1ba6900, 0x6920c5a3,
+    0x836e6022, 0x080fb176, 0xdc3bbdbb, 0x508c8d6a, 0x1ed97ea7, 0x73a95431, 0x9887a1f3, 0xe45beaa8,
+    0x080f1c06, 0xf69f98fc, 0x4559004a, 0x1a2d34c4, 0x36dcc48e, 0x8db5ad51, 0xaf05a84a, 0xe4c93472,
+    0xa81b5f73, 0xe21b9473, 0xb12a744c, 0xe115e798, 0x496c543f, 0x318a3b0c, 0xc932ab4b, 0xe6a9c1a0,
+    0x57afd15d, 0x26ac6b6f, 0x6b2a1d9d, 0x8ff78536, 0x68f50557, 0x208fea84, 0x81bca982, 0xbc16e688,
+    0x862a6133, 0x8e6b7d90, 0x0fd59e91, 0x59283595, 0xcc35f921, 0x332a82f0, 0x0339be9b, 0xad413657,
+    0xac83df8f, 0x9e7a9131, 0x091c7533, 0x661732cb, 0x6a7d68e5, 0xbfd3fea5, 0x3543f9c4, 0xf2fd3e52,
+    0xc183a718, 0x448d1c78, 0x729e8b53, 0x203ba1ce, 0x96069a08, 0xc859640f, 0xb140bb25, 0xd356c831,
+    0xacc9f227, 0xc23e40fc, 0xf57be981, 0xa2ebd855, 0x99bcd349, 0xa70129fc, 0x08a9db82, 0x064822b3,
+    0x8b02be50, 0x7dd93266, 0xa6da9bf3, 0x238b25dd, 0x6e538290, 0x0e129486, 0xc2f115f6, 0x0d8579c1,
+    0x566b1187, 0x35765086, 0xe0d89c22, 0x299f1173, 0xbaacd3fd, 0xc2052086, 0x92c44a8f, 0xbcca683f,
+    0x5e5df059, 0xc2e1b030, 0x5b38eebe, 0xd9bb53fc, 0x7d30a71f, 0x492dca00, 0xc23c145a, 0x2393d197,
+    0x228d28d5, 0x235ba468, 0xebdaae03, 0xfa1485bf, 0x521ed8a4, 0x988c6544, 0x165907ff, 0xf909c169,
+    0x6f52aebb, 0xe904ab1d, 0xf3450548, 0xe4db6b01, 0x64ed4a58, 0x561dfe0f, 0x1a4eb302, 0x28f68d7d,
+    0xfcdd360e, 0x03079b22, 0xccc77304, 0x4fd30f84, 0x3de974ad, 0xb26207f2, 0xcf3dcbcb, 0x0bfbf3a5,
+    0xbb3476c1, 0xe558ac7f, 0xaf097208, 0x9fb3f3bb, 0x799b00f1, 0xedb8e651, 0x11ec84b6, 0x21243446,
+    0x0d9f916f, 0x7d06184a, 0xbafea83a, 0x0682f3b7, 0xb10d1224, 0x6b079514, 0x5cff3a7b, 0x78c6e67c,
+    0xc4b6c786, 0x7b69b8ac, 0xd55f4272, 0x54011e05, 0xa2576127, 0x1d584a97, 0xc80ab9ce, 0x2f6efd56,
+    0xa8a018a5, 0xff90eeb4, 0x7d879a29, 0xa77c5b21, 0x5fe34867, 0xd8d6153a, 0x4cb4b1c4, 0x11588663,
+    0x99fac493, 0x333ddd7e, 0x2535b843, 0xe9d66e94, 0x98a89dd8, 0x0cb48c3f, 0xf9c6bd8e, 0x8ee481c5,
+    0x5ae7e03c, 0x2374ef67, 0xbaa1c6e0, 0xa9989819, 0x12b03500, 0x5d02cb09, 0x4bd43b5b, 0x240977ff,
+    0x335ac3b9, 0xd5101eb1, 0xf71a755b, 0x790525a5, 0x4aa849df, 0xd9c958d9, 0xb9c23592, 0x7b3a4a36,
+    0xc3089b43, 0xc0a5d5cb, 0x332aef62, 0x6fec9922, 0xffd78151, 0x24c898c4, 0xd3a150e3, 0x3994be40,
+    0xf13b60df, 0x846690f3, 0x9b708aba, 0x986473ff, 0x1cfe1e70, 0x6a8c2ec5, 0x29a829d4, 0x6b7ecf76,
+    0x01ac43a2, 0xf6038b69, 0x075f1a14, 0xeb148cc5, 0xfcbbcdba, 0xea6e4161, 0xc8359bbd, 0xc9154149,
+    0x28701b38, 0x5925e29b, 0xdb449e18, 0x4053461a, 0x7c33f6df, 0x487f2a35, 0x1dd230c2, 0x50fc059c,
+    0xa2507d43, 0xa59fe023, 0xb4e97bbd, 0x727db999, 0x3f8c1e08, 0xb8dcf397, 0x43c85a12, 0x6850b019,
+    0xa6e39bae, 0x5380d25f, 0x31c341ae, 0xd37f033c, 0xa260a622, 0x75c29c20, 0xe47700bb, 0x316acdb2,
+    0x07f03ed0, 0x8efc24dc, 0xb1d5af1f, 0xd4dd46c3, 0xd47dd71a, 0xfe149dc0, 0x00d04a27, 0x3723f01e,
+    0x0e5b3ef2, 0xb0090448, 0x4715f3e3, 0x5b780775, 0xe9a9c244, 0xc4b8319e, 0x178c3cb4, 0x8ccb5364,
+    0x0a9b24d1, 0xfb970656, 0x99e9f096, 0xb39d2f11, 0x76a689e3, 0x81d2b93d, 0xe723b488, 0x858afa53,
+    0xf040f561, 0xf9c73828, 0x53d9a387, 0xebd5f51a, 0x958bf026, 0x00bc33ef, 0xfc1ee25e, 0xecc93fc3,
+    0xf730ca74, 0xceee5c76, 0x4da322de, 0x3b6fa983, 0x1e4e072f, 0x0b19f3e6, 0x9af1b2e3, 0x03a9447f,
+    0x8c515b17, 0xec92a21f, 0xa1d827ec, 0x4bedbbd5, 0x134cff22, 0xe1ded436, 0xe8299eef, 0x1ff629ba,
+    0x8376bd94, 0xe9ab92d8, 0x1e8bd203, 0x62652882, 0x2bd72c7e, 0xbf00adaf, 0x1e38c1a3, 0x75f38e3d,
+    0xecd81453, 0xea2a70a9, 0x34d49c38, 0xca5106c6, 0xb4105d4a, 0x996f0a5b, 0xfa05a683, 0xb5b48097,
+    0x9cad4fc9, 0xcf2b400a, 0xc6162a4c, 0x0ed3ac2e, 0x617be5e3, 0xfc03513d, 0xa567da5c, 0xd4064724,
+    0x9cc2d17b, 0xa9028f2c, 0x283ea6ca, 0x90568061, 0xf8a85a0c, 0x076ff633, 0xb1a4ad2f, 0xfa40ee36,
+    0xfb2f62a9, 0x24d12de7, 0x93161b2a, 0xbb850831, 0xb9c6d3a2, 0x2e481b9e, 0x9e94bc61, 0xb33b5bb1,
+    0x128e94f4, 0x4871ac1f, 0x1ab0638f, 0x8262b6de, 0xe956b790, 0xb0abc1aa, 0x9b77e8bd, 0xad763f56,
+    0x432e9714, 0x9c83ab0e, 0xd8bbc873, 0x38c6fc08, 0x9b444665, 0x233fb48c, 0x5f1e1e39, 0xdb88af64,
+    0x6286deb0, 0xa54be08f, 0xa845450e, 0xf5b75e58, 0x5848ebf6, 0x44250cae, 0x325d8865, 0x485a46a0,
+    0xf9579bde, 0x49d2fc0d, 0x60d40107, 0x38519b1c, 0xcb60b0e9, 0x0689d874, 0x36bf3e35, 0x020afe14,
+    0x66e4c635, 0x047dbf23, 0x1f6c6820, 0x58917fab, 0x9da20b6a, 0x3fced98f, 0xe37da255, 0xe7d67d4d,
+    0x48ce4926, 0x0e611e08, 0x70a6e47b, 0x11339dd0, 0xb8e26e40, 0x223f37fd, 0x4ae10cd4, 0xdf934230,
+    0xb1316722, 0x1016fadb, 0x11c46a2d, 0x642575ac, 0x8cbd534d, 0x004ff039, 0xe5b9f1fa, 0x202867a1,
+    0x58113466, 0xf1d8ff33, 0x01d8a8e6, 0x36747020, 0xa0c9c394, 0x536565dd, 0xd0598085, 0x134517f7,
+    0xe86149ec, 0x5bb9f2d4, 0x05603f4a, 0xe38b3140, 0x3b9c1c1a, 0x702cb3f6, 0xb944e034, 0xf929d293,
+    0xd390fbab, 0x9cff5161, 0x159d1201, 0xdabccd54, 0xfa88c865, 0x62b3f770, 0x59931965, 0x859d000e,
+    0x32135e88, 0x2691e51f, 0x224664a2, 0xc5951bfb, 0xfafe4100, 0xd3de9edc, 0x7e0b3378, 0x550cb072,
+    0x00ef0e16, 0xb3650450, 0xabb53452, 0x4419fa39, 0x611f5254, 0x2afdfe11, 0x4a2eaab8, 0xb753266c,
+    0xba3d706c, 0x5078d170, 0x02f13829, 0x73f0b897, 0x4959841d, 0x8b72e3ca, 0xb23c176f, 0x758275d7,
+    0xe7ec6a08, 0x0142cb3c, 0x61d098f2, 0xd4a9da0c, 0xcedfb308, 0x4008a590, 0x05642563, 0x53184115,
+    0x6f62847c, 0xcbca96ac, 0x0109358e, 0x229ebed8, 0x01d37a4e, 0xd006d4fa, 0x11e730d2, 0xfbf6e807,
+    0x5e623815, 0xd08fa37b, 0x706afaf5, 0xa1ff4580, 0x29dd8195, 0xd533fed2, 0x29e2c656, 0x98413ef6,
+    0x8527e645, 0x332f3434, 0xefe198c0, 0x05ee68eb, 0xb9b21c4d, 0x8d739e74, 0x3e94201d, 0xbd4400d2,
+    0x5a1a99cd, 0x9da289d3, 0x1ddf1deb, 0x5e8c2571, 0x084e61b9, 0xeada92a5, 0x4fd60d82, 0x99a7b67e,
+    0x6b3e9ddc, 0x105335ef, 0xba022e5c, 0x39b7d42e, 0x8660ccf2, 0x51ee3840, 0xd4a82aa1, 0x8e9a2401,
+    0xd57c173d, 0x39ee04bc, 0xdda32dc8, 0xb7854338, 0x494ec32b, 0x7a31244c, 0x92918aac, 0x763cdab3,
+    0x81c06955, 0xd27d489c, 0xd349b420, 0xb3262080, 0x737f8fff, 0xd6ad0db2, 0x7184afd3, 0xd5a23e7e,
+    0x4b461cb4, 0x92f3209c, 0xdd6ce2f8, 0x8048bfa1, 0x0db5c805, 0x093e23d9, 0xa29cb825, 0xe1993113,
+    0x6f725b30, 0x9a6a510b, 0x12b2c47b, 0x433d521a, 0x741d4064, 0xafce6df9, 0xe4346641, 0x4d63443a,
+    0x81c6e77d, 0x370ab079, 0x346f5c5e, 0x5b32392e, 0x9da466e5, 0x8d5cf93d, 0x317e3338, 0x997ca09f,
+    0x2c231e65, 0x9aa7060f, 0x6304f8c2, 0x38f9d065, 0x89cdaf1d, 0xa54e8d83, 0x7801ceb3, 0x33bdb5f2,
+    0x777188a0, 0x1af7890c, 0x90a27ea2, 0x25941342, 0x0aee9719, 0x8ba1079a, 0x19221f32, 0x97d86eb7,
+    0xf8985917, 0x214957d6, 0x5a3913b1, 0x2a9597b4, 0x45427a54, 0x9f9c0c36, 0x1a712e2d, 0x2c251f5f,
+    0x2eb6e72f, 0x2dbde67d, 0xedaee218, 0x65633b4b, 0x3269a949, 0x32fe92dd, 0xe7bb9c84, 0x4a62a47b,
+    0xe9794dee, 0xed8c3b8c, 0xd479bf3e, 0x4bc89356, 0xa0e2a236, 0x1cd4d50e, 0x0fd6bebf, 0xcc514f77,
+    0x99b7fa75, 0x128dde2e, 0x4f2dbb96, 0xd1811dc0, 0x63399b72, 0x5c0455db, 0x970dab7b, 0xbac7783b,
+    0xfcf7974a, 0x4b137cd7, 0x80644a9e, 0x58df48ec, 0x7357b7e4, 0xee22105a, 0x20127092, 0x933cb368,
+    0x33813542, 0xf8ee1d9b, 0x3eb28fdc, 0xa4b5cab0, 0xd2136b2b, 0x304ba6fc, 0x7b043b84, 0x95b5a56e,
+    0x0ba511c9, 0xfbff90ab, 0x0cf9090b, 0xd6100eb4, 0x58241cc2, 0x77413b1c, 0x34879bc6, 0x58c049ff,
+    0x3792f4c2, 0x9c2a9fa7, 0xddf62bf9, 0xf1f07acf, 0xf883f180, 0x9e351e5c, 0xa393ccde, 0x3092131d,
+    0xfbb26a0d, 0xc640cdb4, 0x417a765f, 0x91090a6d, 0x4507d2ed, 0x6fc64d22, 0x1f32b8b7, 0x25943fd4,
+    0x88482a27, 0x64b341df, 0x94799101, 0x5a40a774, 0x987c5b04, 0x3ef52fb6, 0x8bcc3f52, 0x5af23fa4,
+    0x8df76f79, 0x745f87d3, 0xdae7c213, 0x52857651, 0x932e78b8, 0x0de2df31, 0xe676e98e, 0xccd72f78,
+    0xa7daffbf, 0xa352ea76, 0x3f3375da, 0x24202f80, 0x68432463, 0xae1a4bb9, 0x88a98c3f, 0xa09077b2,
+    0x3674d9e3, 0x62cb9e2f, 0xa8635f98, 0x65d618b6, 0x01f9a454, 0x6bbc2f10, 0x45c3f6ba, 0xaedde935,
+    0xd24df8db, 0xfc2d16d0, 0xf6accfc3, 0xe1867910, 0x03b2f86e, 0xe46846a2, 0xe567cf60, 0xff9edabd,
+    0x60df36fe, 0xcaab2e85, 0x5c2b3612, 0x11b543f0, 0x5fc50248, 0xb6800f9b, 0xb0e6d37d, 0x6159f7c0,
+    0xfc9dddb5, 0x6511edd1, 0xab5eb398, 0xde7a2107, 0x61ec7674, 0xeb6a6a8d, 0x59195df3, 0x6b87ad24,
+    0x27695d48, 0x40d75099, 0xca464a0d, 0x868dc16a, 0xf4f57633, 0xacf4dfd7, 0x03642ab8, 0x1a537b68,
+    0x9d50f03c, 0xe4980330, 0xcb7b6fbc, 0x75ef88bb, 0x0134bba4, 0xbf0f03b3, 0x9d6dbe4b, 0x5f490b2c,
+    0x4cc13bd6, 0xcc1288ab, 0xfc23d338, 0x7c41f741, 0x14b291b6, 0x65b964ba, 0x06dd6cdc, 0xd94a6542,
+    0xd56e3bb7, 0xd57dfc4f, 0xed74e02b, 0x308580bd, 0x5cfca3cc, 0xd144453b, 0xf50d1b1e, 0x01632867,
+    0x0156e040, 0x6d1796c4, 0x568f2bfc, 0xb679b6f5, 0xd3dcd393, 0x013669c4, 0x23c60d42, 0xe5c119e3,
+    0x4c061710, 0x0eed2f13, 0x38968b76, 0x10f75de6, 0xcf29f9e9, 0x45f64228, 0x57c7b755, 0xd4ba8724,
+    0xbea281d5, 0x91d7300b, 0xacbb04a0, 0x7f4ad3b3, 0x07015b5d, 0xfb2e0611, 0x5b7c49fa, 0x4cf3c2d9,
+    0xc44a5d78, 0xa48c056f, 0x2528dd93, 0x7efe8aac, 0x7b624256, 0xc45b63f2, 0x38db81c9, 0xef650cf1,
+    0x98f1093e, 0x2519345e, 0xfc49a725, 0xe3e854e1, 0x070fc286, 0xe9070161, 0x1cdb227c, 0xe2735061,
+    0xefcc359e, 0xa55b389d, 0x136293dc, 0x7260f24a, 0x4da37109, 0x8b29accc, 0x96a3abe2, 0x70c9a26f,
+    0xdbad41de, 0x9010e002, 0xd6ba121e, 0xc17550de, 0x7d3ed82e, 0x7d1c3250, 0xe94c79a1, 0xaa5e6aef,
+    0x6010e127, 0x9527f9e6, 0x9300de4c, 0x9de10a2c, 0x357d3c91, 0x1ef5430b, 0x61d2048e, 0xfe07baec,
+    0x7bfb22b9, 0x9d99fd37, 0xfd586cfa, 0x614c06be, 0x7aea2695, 0xdf33b765, 0x2bfb4247, 0x00db1306,
+    0x8de85e73, 0x9e6ed70a, 0x794e51de, 0x3cffed01, 0xec25feb5, 0xaca1420c, 0x68dccd7e, 0x57edf418,
+    0x6f826633, 0x644355f4, 0xb143da1e, 0x0e003df0, 0xdde56605, 0xe3d67f69, 0xa370d92a, 0xcacff875,
+    0x42fe43fd, 0x433b9fe6, 0x5cde0ffb, 0x670e47ef, 0xcfa64fd4, 0xa9860e70, 0xf6deb0b6, 0x0d57d500,
+    0xad323a96, 0xfd366366, 0x22054ab1, 0x9f23c42c, 0xe6f02965, 0x1208723b, 0xf0a1f553, 0x3d3c1b52,
+    0x88afa5f5, 0x29399468, 0x27320ed5, 0xa1f4ed42, 0x236622e4, 0xdc784bf7, 0xb01ae52e, 0xc33d3ca7,
+    0x4ab86835, 0x75b89f82, 0x457d2e6f, 0xb1ec2e3a, 0xc8e7b91e, 0x444f13df, 0xc1cd8425, 0x96deda4c,
+    0x41ce523f, 0xa6ecf3c8, 0xa1a39572, 0x5dedc9aa, 0xa8c55a0c, 0x451ee850, 0x3976d686, 0xe50ab351,
+    0x7693897f, 0x39b45cf2, 0x69d12dc2, 0x9037a987, 0x8bdaed02, 0x9a433212, 0xe35458f9, 0xb366e5d4,
+    0x8329f653, 0x18cda537, 0x02085d09, 0x0ef5910f, 0xd23310ee, 0x0c0845ec, 0xfab11fe4, 0x1a91d9ab,
+    0x19c4072c, 0x5a1c00f2, 0x114ea39d, 0xa180449c, 0xd7618841, 0x3a27ef64, 0x6b855d30, 0x607473e9,
+    0xa6702c8e, 0xdb423eed, 0x55627a96, 0x8060072b, 0x44e4b93d, 0xddc945fc, 0xd54941df, 0xbd5dd545,
+    0xe49010f3, 0xe5e0a155, 0x2961d83d, 0xddff1610, 0x48cb4319, 0x517e38aa, 0xe257cf78, 0x3f58337b,
+    0xfd5026ac, 0x4034eeb1, 0x8243fd98, 0x200ec9c6, 0x5c236381, 0xb544ba38, 0x2def286b, 0x95565ad0,
+    0xc7100a00, 0x53f9a699, 0x326bb9cd, 0x698a7805, 0xc21f5311, 0xe1fbaeb2, 0xf69c72e2, 0xada0a225,
+    0x8141c334, 0x1386f704, 0x914259ac, 0x04a0f264, 0xb8154a64, 0x7291ab87, 0x0e8cfa74, 0x035c88e8,
+    0x4d77aec6, 0x0d782c5b, 0xf34347b9, 0x7af4489a, 0xaa8b3b8a, 0xbf3e9a7b, 0xedb69826, 0x5fb06f3f,
+    0x864e6ba5, 0x4bd0f912, 0x12ee9735, 0xbd52bedb, 0x48ef539a, 0x416d74d3, 0x043f6b0c, 0x8b9e2eaf,
+    0x00000000,
+    0xa036da80, 0xf6865c8e, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000009671406556917033397649408 */
+  { 0x00000000,
+    0xf4c55568, 0x2018a249, 0x2c68569c, 0x2988266b, 0x8d188276, 0xf06cd625, 0xa5b07aee, 0xd3461d78,
+    0x8f832d37, 0x168469ef, 0x7af0d62d, 0x26f4b257, 0x94fcded2, 0xc4582a89, 0x9c0f7f39, 0xaea7f28a,
+    0x9cb84bb3, 0xe70c2ba8, 0x40c33347, 0x755b7695, 0x97674fd9, 0x4a3dae9e, 0x1a9ecde7, 0x975089aa,
+    0x749a3fbf, 0x8ddfcd66, 0x2f9e3071, 0x817760bb, 0xba8d3d20, 0xfcb62297, 0xfda0339b, 0x20db7acc,
+    0x40de80d4, 0xdced2897, 0x182c83b4, 0x79f05cf8, 0x6c5e74f3, 0x2f797547, 0x062c5275, 0x2d5f945a,
+    0x6a20be4b, 0x81e6e1ab, 0x9bfad9c2, 0x88f62284, 0x75192d7f, 0x622904a9, 0xa2a4edc3, 0xdb34cb31,
+    0x99fb5404, 0x28a81999, 0x37161acf, 0xed7efca9, 0xf541494a, 0x4727584d, 0x76979051, 0x5753bb86,
+    0xf8bc8087, 0xd3e5bac4, 0x1f6605f6, 0xfba99025, 0x18dfd489, 0x5b388be2, 0x6a87c04a, 0x4518a489,
+    0xbbe52e0d, 0x62afb56c, 0xa0d54f92, 0xf595d863, 0x33fad87c, 0xf5b8d3d2, 0x71bde142, 0x055144ae,
+    0xb9c3e00b, 0xa78489ef, 0xacf68ebc, 0x9bae0948, 0x8f210bb2, 0xf1bd5c2b, 0x5fb51199, 0x37070cc5,
+    0x4b9585dc, 0x5209fce4, 0x81c2f972, 0x8918c777, 0xcb2053bd, 0x22a4eebe, 0x0cda6eb5, 0xeec28429,
+    0x372fae9c, 0xf8578f02, 0x317d0b65, 0x567310b2, 0x03b4ecc4, 0x0de3a87b, 0xf32347d6, 0x669b4571,
+    0x52414dc5, 0x0bc72004, 0xfbe7ab62, 0xc6c8c66a, 0xd67e2dc1, 0x527ce5e2, 0x7b3c03dd, 0x21294b54,
+    0x159bb2d6, 0x24fbfd78, 0x57728493, 0x6ce4b371, 0x3c3abc13, 0xf95310ce, 0x4cde0e4a, 0xbf21a06b,
+    0xe7dfa49e, 0xa48ff324, 0x53acf8c2, 0xe4e2fd39, 0xe24e8cd2, 0x14129fb5, 0xb3e2ea7f, 0xc1732cca,
+    0xb4f66166, 0x10b8f3dd, 0x5940c2fa, 0x9ee5425e, 0xa95f3e5f, 0x93b3e9b3, 0xd8902a0d, 0xfacab8cc,
+    0x968acd95, 0xdf2d1ae0, 0xb96a8f16, 0x44f93c8e, 0x7c31fb4e, 0xc0e37002, 0x36a73441, 0x723591c6,
+    0x514b39c8, 0x8190fdf9, 0x43695010, 0xd2c8325c, 0x413cf21b, 0x9832e808, 0x94126e92, 0x3648f027,
+    0xb99a4170, 0xac847673, 0xaa2df9e1, 0x47aaff91, 0xa5bf3b56, 0x030382d1, 0x9d07e428, 0x35d4ddd4,
+    0x453a4fdc, 0x3eb86636, 0xede5dd8f, 0x031f4a0b, 0x1868d509, 0xe3b25dff, 0x5e9c2cd4, 0x788312e3,
+    0xcbda29ed, 0xc48cd66e, 0x90018fac, 0xbf427d07, 0xe021a2a7, 0xf6ec6300, 0x08324982, 0xf4a9feea,
+    0x7ee606f8, 0xea5aeddc, 0xb5756f8f, 0x3aca809d, 0x1dc90d16, 0x5390be7f, 0x950e8598, 0x923fd0ec,
+    0x3df57db9, 0x9b92e0f7, 0x8be4e362, 0xb90b598f, 0x52a4045e, 0xf7ae4334, 0x0efd64ac, 0xbbe8ef62,
+    0x43c42c5e, 0x497a80bf, 0xf555b112, 0x3736e5fd, 0x28f4bbc5, 0x3854d79e, 0xd6979c2d, 0x247c2f7d,
+    0xf9a2b0b9, 0xe14bf3f9, 0x74204ad8, 0xa7220f0a, 0xd1dfcdbc, 0xff134db6, 0xe5d63665, 0x573443de,
+    0xb2f79e41, 0xc9ea34dc, 0x07276bc5, 0x40241083, 0x78aeea75, 0x7c36ffc4, 0xb5f55e09, 0xe118a5b0,
+    0x1f7c7ec4, 0x55f667d6, 0x812b064e, 0x2cbc7ee5, 0x20297b3b, 0xae309bd9, 0x365a90a9, 0x47c29b18,
+    0xae2d9e79, 0x2fc069e4, 0x3403ee96, 0x19c7d6c4, 0x862e6111, 0x0f8e8c42, 0x6d8d966c, 0x033fda76,
+    0x3b9613b3, 0xbb33a1c8, 0xdd83476e, 0x3b0e0e42, 0xb79d3cba, 0xa8600db1, 0xf1c3973b, 0xfac20aaa,
+    0x069cbf8b, 0x2228b9b2, 0xada328ad, 0x6a9b6e7c, 0x92a84f68, 0xf6a1714e, 0x380fe88a, 0x150d23ea,
+    0x8e5ef20a, 0x8825eb26, 0x9e38878e, 0xc1f0fb4e, 0x1e7ff7d3, 0x383eb6fb, 0xc51866e3, 0x606fe1a9,
+    0xf4929646, 0x076533d2, 0x25d833f0, 0x5577ca3a, 0x91e44092, 0x0acdcb6b, 0x59f34e6d, 0xccbdf83a,
+    0xd1add3bd, 0x6647e82d, 0x2c50f907, 0x402c2194, 0x30bba207, 0xb600ef61, 0x052c96cd, 0x5a9bf6fd,
+    0x70c1d3c6, 0x7d9df095, 0xd5f59664, 0xa2eb0fd6, 0x59932804, 0x83f6f70d, 0x7c74d7eb, 0x74e1040a,
+    0x6997dff3, 0x10a04d46, 0x6d5396f3, 0x45b3cc33, 0xba286952, 0xe363f95c, 0xb539d6e4, 0xe014c285,
+    0x2728567d, 0x8e1f6d24, 0xb6fdd579, 0xcc127406, 0x9c2a6cd8, 0x8f70eec6, 0x3a5faef8, 0xf0676c57,
+    0xd0a8ef0f, 0x7144d555, 0x13082e85, 0x23f53a86, 0x7043ddf5, 0x2c2b89d4, 0x1e77067d, 0x3f43c4d9,
+    0xae3b3e31, 0xd81de1e9, 0x533bb329, 0xdd18604e, 0x41ad5902, 0x4d6bfaee, 0xff1a34fc, 0x41de25c8,
+    0x20306970, 0x99574aff, 0x2c42fd3e, 0xcb7d7f96, 0xca706665, 0x456d0185, 0x26039417, 0x37f92779,
+    0x6c91de67, 0x05c7ba26, 0xefeee5dd, 0x4ce1cccb, 0xcc033220, 0xfb7a1177, 0x54a43ea1, 0x93ca6f14,
+    0x49412718, 0x9a5fe3b7, 0x6f81691a, 0xacdaf8e4, 0xadd28d58, 0x0d8870d7, 0x86615c47, 0x5b8a0ba6,
+    0x0d77f22c, 0x1a20b1ee, 0x2ef8c9cb, 0xf7dc5b47, 0xf3802c20, 0xb33332e7, 0xc464131c, 0xb64e1fd9,
+    0x4338a31b, 0x34d6be80, 0xb5ed4397, 0x9b73299d, 0xcf8cea68, 0x0ade3e50, 0x66c5826d, 0x4d48db0f,
+    0x0ba2ade6, 0x2e22839b, 0x22dd368c, 0x2897cb02, 0x5ea8d0d6, 0x0de21b1b, 0x66ed2027, 0x79ec778a,
+    0x851bbb5f, 0x844690ba, 0x358c372b, 0x3a1e39b8, 0xfb1886be, 0xf3455116, 0xb3e4198b, 0x6c9df80c,
+    0x99bee720, 0x7c496aa0, 0xfb67fe9f, 0xddd6455a, 0x04569475, 0xa7b9bc20, 0xf98100e1, 0xb4604f03,
+    0xafe2aebd, 0x4cdffb4f, 0x56b7d13c, 0x379a1632, 0x23b52e9e, 0x33220a10, 0x284e1a3e, 0x5b78fa16,
+    0xe1e26d86, 0xdc6323d6, 0x3ece82d5, 0xc94b5bf7, 0xfa90d368, 0x5860da7c, 0x4ddecfbf, 0xd8f72ba0,
+    0xfac678d4, 0x5ca2f2b6, 0x3eecd75d, 0x3ec24d4d, 0x195e7dd4, 0x6f1245f0, 0xa6898ef8, 0xc91cf988,
+    0xe40e95ed, 0x23d57a0b, 0x252b8707, 0x36371a2d, 0x694d546e, 0x5ff92c90, 0x409523fa, 0x835550a0,
+    0x11bd28b3, 0x010c3402, 0x5864b490, 0xe5f60974, 0x4fe8ea14, 0x028a9d42, 0xabbdc195, 0x857b256e,
+    0xdbfcf450, 0xf8f40d1f, 0x11be65fe, 0x6ada410e, 0x2144606d, 0x61119ea0, 0x4c26c75c, 0x1d412758,
+    0x0e8239aa, 0xa65ae21f, 0x66a5886a, 0xd410e5a9, 0xf9372d66, 0xb7d01fc4, 0x8c43eb5c, 0xe57aeb88,
+    0x26fe23c4, 0x76522cd6, 0x2ab1cb99, 0xa983fe27, 0x24d7b973, 0x282be7fe, 0x6ffd1c28, 0x7684effb,
+    0xe73d3c56, 0x486dddff, 0xecca7f91, 0xae1e24fb, 0x6889d3e7, 0xec946567, 0x1b8fcf94, 0xdcf7c5d5,
+    0x92e0f4a5, 0xdd2118b8, 0xf4d8e04a, 0x1d267a7a, 0x4c43873d, 0x0da26aaf, 0xf8cac915, 0xc0c835e9,
+    0xa5d0ec68, 0x6ed9e8da, 0x86d2f5b1, 0x89aaf000, 0xc1080f69, 0x7639a1ec, 0x7b1bb2ff, 0x176ce9ec,
+    0x01afaf12, 0x9ed03e20, 0x7534ee9f, 0xe04b10d0, 0x3f632663, 0xee3edcf9, 0x83e1d62c, 0x10df80dd,
+    0x93028f3c, 0x9a1dd1c7, 0xbc774f4b, 0x0d87911b, 0xfbe015fa, 0x224d5403, 0xa620ed6d, 0x24cf8fb0,
+    0xd1a4198c, 0x40bddd52, 0x0b82a7af, 0x0a6e05cf, 0xb1e25cbd, 0x44787c2b, 0x5f9163bb, 0x007325f0,
+    0x767184c6, 0x8f0a0bd1, 0x407b293e, 0xe2340e90, 0x78bc8987, 0xc2af1ae7, 0xb90b4712, 0x52e6001c,
+    0xf3b7589a, 0x812070a7, 0x4538a2d9, 0xbdb646a5, 0x70094c17, 0xe2be7c49, 0x0a037a8a, 0x3b22c9d0,
+    0x6aa05a5e, 0x0da770a7, 0x40e3d9dc, 0x559298a6, 0x626a113d, 0xe6d0163a, 0xd7109a26, 0x0c4fbf47,
+    0x0e68d3dc, 0x7a3a63f5, 0xaa2c7387, 0xb08a948b, 0xb92b3d89, 0x14874820, 0xdb8267fb, 0xec827a1c,
+    0xe679de79, 0xeb338761, 0xc0eb7f9d, 0x32a202e0, 0x3b3930c3, 0xebe6c331, 0xad3f328b, 0xb0c62646,
+    0x295acbce, 0x4692bef0, 0xb4d9bb34, 0xfe49924f, 0x969e8a28, 0x1ff0003f, 0x59a2c378, 0x5cf20d84,
+    0x3474c4f9, 0x96a14626, 0x0fb0fd3a, 0x24af2dc1, 0xf25c0c82, 0xc217cb6f, 0xa7ff1e3b, 0xed1936a5,
+    0xc6bbb940, 0xb8f8640e, 0xcaa0813d, 0x684043a1, 0x78656435, 0x50f37dbf, 0x387db184, 0x93f6d5fc,
+    0xe7dec1ce, 0xc6ccdeb4, 0x11a729a1, 0x4a30a3ea, 0xa1f45647, 0x625e2979, 0x30d3e5e1, 0xd82423ba,
+    0x3bbf3870, 0x349cbb15, 0x02d00dc2, 0x6f3e3965, 0x9482a767, 0x0d27ab4a, 0x7c78408d, 0x01016978,
+    0xc140be36, 0x38c00974, 0x827bac5a, 0x508eae0d, 0x1a5c897c, 0xdfebf9bc, 0xa80d1577, 0x6347d9d2,
+    0x14ba7c79, 0x6c78c4d8, 0x31e99eb4, 0x8425797f, 0xf56d1352, 0xa943e2d4, 0xb840d930, 0xc4ed4cd1,
+    0x65e97ed6, 0x170667c2, 0xd100fb97, 0x9a21891c, 0xc25279c0, 0x407cfc41, 0xc3c069dc, 0xeeadf865,
+    0x1e271afb, 0x4f9cf70c, 0xde4756cd, 0x50435361, 0x4745bb7b, 0x05900bd0, 0xfdb9de9d, 0x02b3a983,
+    0xcc65fd06, 0x1c1d8ef1, 0xfadfe96d, 0x072a6523, 0xc8bf8304, 0x2eaadf1a, 0x26d2fb64, 0x342d4228,
+    0x34c8e83f, 0xf2629fdb, 0x6d809ed1, 0xb3f77743, 0x01eff30a, 0x5431eeda, 0xb109bf85, 0x80f6d747,
+    0x240d0d70, 0xeec0cbb9, 0x3954b02f, 0x86026acb, 0x8181e575, 0x1e270917, 0x99e92b84, 0x1a24c2ef,
+    0x58206452, 0xdeb39cac, 0x0662a2b3, 0x611cd40c, 0xe83bf4f1, 0xd1735e91, 0x4ed65c7d, 0x0c1ce25c,
+    0x0331baff, 0x268c8104, 0x7c179fff, 0x197af054, 0x263ae7d7, 0x57569153, 0xde723a32, 0xea62c12f,
+    0x994cfd0d, 0xc0446e40, 0x0ea276a5, 0x65a75261, 0xec717a1a, 0x4ed35021, 0xdcb6d471, 0x1cf81b7c,
+    0x5c4765db, 0xebba81cc, 0x10198e26, 0xde223f0f, 0x3414d1b3, 0xe66563ea, 0x7e88ca78, 0x7ec03627,
+    0x795824b9, 0xa3cad936, 0x996eb590, 0xcc1e6f68, 0xb2fc0810, 0xb8e0f662, 0x1ea2e908, 0xe09dc352,
+    0x670777c2, 0x03d730f2, 0xbb113bac, 0xedcfb6bc, 0xc3be4cce, 0xc4bc299d, 0x5c3747c6, 0x94fa8950,
+    0x486d6e85, 0x20a3954c, 0x9575e28e, 0xfca2b0ef, 0x229493cb, 0xac6dc738, 0xc4649df3, 0xf8bb14aa,
+    0xb6889a85, 0x90cf7003, 0x006a3650, 0x2af6de18, 0x8ab977e6, 0x64bab04d, 0xcd9483f6, 0x5534a1e2,
+    0x649428f1, 0xc5aee1f2, 0x3efb1bc0, 0x0c50669e, 0x00dc1412, 0x7848d64d, 0x7f8d4f78, 0xffc9eff6,
+    0x6cce3861, 0xc2dcec3a, 0x6dbba531, 0x12fa5bd0, 0xf1024ed1, 0xa974881c, 0xb08fd754, 0x345832bd,
+    0xefe08756, 0x34cf2ca0, 0x4f4cc75a, 0x298849bf, 0x9585e404, 0xa07bedb7, 0x9272a06a, 0x62568a8c,
+    0x8b709e39, 0x695a40c5, 0x572455f8, 0xffe8f60d, 0xb06a8761, 0x30719090, 0x511446ce, 0xd90f4080,
+    0x139afcf3, 0x58a6b311, 0x806eba28, 0xb6a2952e, 0x2943030a, 0x3d1c1709, 0x270a11d3, 0xc69c92ee,
+    0x1cfa6c51, 0xb63cc66c, 0x799fc940, 0x534dd04e, 0xeae8c919, 0xe313a647, 0x8543548d, 0x1baa4ecc,
+    0x1b9cfb66, 0x18b1aacf, 0x9e7026f7, 0x17ae6b6d, 0xccc55a7b, 0x39a8c81a, 0x8d791943, 0xb98f155c,
+    0xc0e3129e, 0x79f60741, 0x8270d9aa, 0x6f12b8bf, 0xef135275, 0x55f23c09, 0x9773fe31, 0x202d1776,
+    0xa37b45aa, 0x02a87e9b, 0x875b9062, 0xd6e58613, 0x6b0163d1, 0x1b763715, 0xda2bc0dd, 0xbc69df11,
+    0x2f54a8b7, 0x150e438e, 0xf3865918, 0xe6e35d08, 0x442c0ae2, 0xfa11d018, 0xe862a2eb, 0x8c4b5472,
+    0x82799216, 0xb889ae46, 0xfe20708e, 0x8834e606, 0xbdc403ca, 0x0eafe11a, 0xbf589fda, 0x1be30208,
+    0xc45a695c, 0x8ae3827b, 0x4c8e21d9, 0x26e2c932, 0xe57e93a3, 0x031ec45a, 0xcaebe47d, 0x67973dad,
+    0xc0976f0a, 0xc8f13c49, 0xb8016118, 0x80ed90ea, 0x48b9aed1, 0x30ed34c6, 0x877d3651, 0xf0a5414c,
+    0x4b24e406, 0x26441bda, 0x63fb20ca, 0x89791579, 0xe33505e2, 0xaea07d72, 0x148fd86d, 0x72caddd3,
+    0x00c33bc8, 0x40029b1b, 0x141881f9, 0x1cd1f3ce, 0x67993f18, 0xbe6229ab, 0x66377a4f, 0x1a25a1be,
+    0x7f6a7d1f, 0x4dce7549, 0x1d8902fe, 0x7b5800b0, 0x656b65cc, 0x164c50fe, 0xe9ea77da, 0xbe34d322,
+    0x3fb263e1, 0x065a4d9b, 0xdf3d2246, 0xea6ee48a, 0x6c1850e4, 0xdf14c139, 0xc8d6c5f5, 0xf3eb3e0d,
+    0x5486714f, 0xdab63072, 0x7f3acf77, 0x3ba5a408, 0x37604a4a, 0xa80a4924, 0x7c03556a, 0x375ff63b,
+    0xb6f79148, 0x087ba3a5, 0x1d7fd07a, 0x9d11a035, 0xa129f701, 0xdc8d51e8, 0x07c5d04b, 0xb3917ca5,
+    0x44a40af2, 0xedb4c3d2, 0xa873ed75, 0x3280b111, 0xdbd2b8a8, 0x0041efba, 0xb0376534, 0xa5cfc98a,
+    0x6031bd36, 0x41e66019, 0x3b768838, 0xa3de4074, 0xd04e356f, 0xfd37c42b, 0x50846f6c, 0x42f79c0e,
+    0x817230ba, 0x5714e3f1, 0x1f0c38b8, 0xdf9ff9d8, 0x8f60f0df, 0xe74224e4, 0xe773eacf, 0xcc3a2d2c,
+    0x231db647, 0xc288ef10, 0x9f53e2ef, 0xb55d31c8, 0x240a6261, 0x2d1057e7, 0x37190e2c, 0x2281e866,
+    0x5882a901, 0x5d9d9807, 0x3fa5012d, 0x2262b7b2, 0xcf3da4f6, 0xd539081c, 0x9c01b703, 0x2824a14f,
+    0xaaf69c9e, 0x0e51391e, 0x518c4f3f, 0xb854999b, 0x6274e9ca, 0x8a7c7989, 0x954f7eab, 0x7675124e,
+    0x68c5ca66, 0x7b1da2f5, 0xb0ba1ef6, 0x858a4409, 0xb225a0a4, 0x114b6254, 0x70630a02, 0x0abdcc78,
+    0x7d81f88b, 0xf4aac804, 0x6d8346a0, 0xc4b76d62, 0x5a4d3845, 0x77798c5e, 0x9f105d76, 0xb296add0,
+    0x0b353b76, 0x38f500c2, 0xc427407d, 0xf2e730a4, 0x15187b4a, 0x6c0bff76, 0xc82d8979, 0xcfb09039,
+    0x534a8727, 0xb3aeaa00, 0x2b719814, 0x3d606750, 0x1486bc20, 0x3f98bf4f, 0x3843fe86, 0x7c49ef43,
+    0xf16c6389, 0xd8b9be66, 0x29c0a3c6, 0x694b85b3, 0x5f2c508b, 0x2613c5f9, 0xec6fe51d, 0xb7e4f241,
+    0xc41127df, 0xe57d8239, 0x963346d0, 0xa94cad6f, 0xea3ba3ab, 0x9e7105cb, 0x4d7ceb6e, 0x9f25644a,
+    0x47b01343, 0x6dba9237, 0x8efcbb98, 0xfe955bc1, 0x8ffab77c, 0x331fcf7e, 0x0f4be7a6, 0xba6bad38,
+    0x040c7cec, 0x8b48e5bf, 0xc87ca1b7, 0x6c1df401, 0x60557e71, 0x2ca9a0e8, 0xf61e05ba, 0xab250091,
+    0x6678658c, 0xed72f9c7, 0xc5cd18c4, 0xb35406d8, 0x84b09e65, 0xe360a070, 0x3db4aa78, 0x29e118c0,
+    0x295a0a0c, 0xb62560df, 0xfb0ac5ba, 0x0ab3f217, 0xf3948aca, 0x585cbad7, 0x6b037592, 0xc02be358,
+    0x5bfc831c, 0xc1500da4, 0x8c6d7fe9, 0xe882fc9e, 0xfa384556, 0x817f0ab7, 0x3b8832c2, 0xd9ef3421,
+    0x93c085c3, 0x0bddda13, 0xed5fab6b, 0x8c8cce80, 0x7deeb3fb, 0x284d707a, 0x0372a937, 0x39a6b49b,
+    0x398e4aeb, 0x4acabe09, 0x23aea40e, 0x87366da6, 0x85232bb5, 0x91c7dbad, 0x02b8740a, 0x7ae10cc7,
+    0xed3fa80e, 0xb326e3a1, 0x8b169779, 0xa2ce9342, 0x8a2f4f0f, 0xf3eac09e, 0xc0305650, 0x1cb58be3,
+    0x7d9e3b69, 0xf2abbc27, 0xe7d964f2, 0xe7cf7bbd, 0x0850cbdf, 0xdf0b2457, 0xa31f6e02, 0x18c40277,
+    0x0c7e8b10, 0x4eb15f0c, 0x5283d6d6, 0x3cfd761f, 0xabdb6290, 0xad58da65, 0x07871371, 0xbd0e57f6,
+    0x00000000,
+    0x501b6d3f, 0x7b432e47, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000004835703278458516698824704 */
+  { 0x00000000,
+    0x1cc75074, 0x2f6e3003, 0x0c3b81f1, 0xd7682da8, 0xcffe5c13, 0x3cb5c999, 0x7215ab6e, 0x97326fd7,
+    0xfad5a8f2, 0xb2d4581f, 0x0dffd693, 0x6ff029b6, 0xc8ea3081, 0x72b9df12, 0xe83e6a7a, 0xa724c4bc,
+    0x95da1ff0, 0xf07eacb9, 0x00c3d930, 0xa43506fa, 0x358e15c0, 0x7335d842, 0x9bc66e10, 0x5930d6ab,
+    0xc3159d5a, 0xabf1d585, 0x7dfce19d, 0xa2e0209a, 0x8127ce8a, 0xb30c9ca2, 0x1dae509f, 0x1df8e8f8,
+    0x5d7d9a63, 0x1692ffd1, 0x2c26dbe1, 0x5249ce72, 0x2d8d2004, 0xebafc852, 0xb35f004b, 0x5ed0bf2e,
+    0x5110686b, 0x855a1208, 0xe1232021, 0x421a50da, 0x3d288731, 0xd7fb0ac3, 0x15451e8c, 0x094d4311,
+    0xaeb16b50, 0xc766c7eb, 0xd15dc47e, 0xb28f7e66, 0x57d37481, 0x3e4fa824, 0x7c91c410, 0x64623a4e,
+    0x120a0ee7, 0x9a68c217, 0x2fe2b771, 0x0caa30a8, 0x7db68597, 0xa46e6d4c, 0xeba20416, 0x5ec4137d,
+    0x8644ee18, 0x6d9f2422, 0x38e07216, 0x05c29a10, 0xc8dc2090, 0x413146c0, 0x95b72b64, 0x257ee9bb,
+    0xd6010382, 0xbb477e3b, 0x3fd3fa66, 0x58ba6b8d, 0x5ca66789, 0x537c0ba4, 0x11a37504, 0x2601de09,
+    0x71dc18a6, 0xda79308a, 0xa3ac9704, 0x2260726f, 0xfd485da8, 0x5c1c57e3, 0x953ce7e8, 0x682c7362,
+    0x741ad150, 0x5d966cb1, 0xc71cbcd2, 0x628681d3, 0xa3b5672f, 0xb37479dc, 0x7a18fde5, 0x533a1246,
+    0xb417fc6b, 0x4a24610b, 0x08d325c5, 0xaeac7751, 0x473440dd, 0xae66d3ee, 0xee882d77, 0xc6f1865a,
+    0xa3991658, 0xfc19de37, 0xa45cb006, 0xa87b004a, 0xc5a49212, 0xc14e4574, 0x2f04ddcc, 0x6d17af65,
+    0xad78ae37, 0xc1f2c0f3, 0x2e15be57, 0x438cce4d, 0xe5273e69, 0x1826919e, 0xcff762f6, 0x717bbc44,
+    0x8b69bc2d, 0x1ac1420e, 0x31cc6ee2, 0x963e4041, 0xe32909eb, 0x2b335930, 0x570d07ee, 0xc186f7c8,
+    0xe7dfdab0, 0xfd5d197d, 0x42375bf7, 0xb0a6d7bb, 0x5d6e00be, 0x6a2ca781, 0xb224b59d, 0x30582fee,
+    0xab82825c, 0xc04340ac, 0x6492b342, 0x2e4988d4, 0x4349694b, 0x24226a39, 0xaa4efd30, 0xf5441d31,
+    0x1297b723, 0x8f597a07, 0x2b7e50d0, 0xa76a0b6c, 0x37d20d87, 0x6658ae09, 0xf8019d65, 0xea5a91d8,
+    0x0b9c06bb, 0x295d8e54, 0x8119a74e, 0xb066e784, 0x7435c31c, 0xaa8eb21b, 0x8583ffbf, 0x435e9567,
+    0xd0fb285f, 0x5eb6dc5b, 0xdaca4fa6, 0x61c69e73, 0xefe4d887, 0xc983278f, 0x30f489d6, 0xacb62d06,
+    0x3e9e71da, 0x49aebdb9, 0x855a7883, 0xeedcc222, 0xc7570551, 0xfa671cc8, 0x0acb1b37, 0x2b6cacfd,
+    0xa22c59a9, 0xead18a99, 0x8e13b121, 0xffc9a051, 0xbc0c15cb, 0xaeb235fc, 0xb2f5cf0d, 0x00de3fe6,
+    0x9b610e8a, 0x40b8d08d, 0xb9b84b1d, 0xb3e55197, 0x9e244987, 0xd5bf4999, 0xbdec93a9, 0xb7dd6201,
+    0x37bd45ca, 0x80adcec1, 0xde769af3, 0x98529729, 0x59762f53, 0x4e05cfc4, 0x78a1c2df, 0x713e1978,
+    0xf73f0b61, 0xa65bfe7b, 0x8475f238, 0xc60d00c9, 0x4772bc03, 0xa5690f78, 0xfdc82043, 0xb3d7b2f8,
+    0x6dd89085, 0x10f8bfb8, 0x1c24d912, 0x88265ff6, 0xe9cdc8ea, 0x24d0fb10, 0x9f8abadd, 0x9e7f6ab8,
+    0x08aa9f57, 0x45399bd3, 0x38a62204, 0x2169b6e1, 0x4b01dbc2, 0x2dce903e, 0x842cc4a7, 0xea6e87c3,
+    0x1b00df5d, 0x56efd71d, 0x7d8d4d62, 0x12222271, 0x20756507, 0x3a46f34b, 0xb2fc6793, 0x384e9ca8,
+    0x2b01ee6e, 0xec9e9bf1, 0x08503d58, 0x9fd17b62, 0x5ceb9524, 0xe0cee694, 0x741b7287, 0x30b65671,
+    0x65746df1, 0x15ff5f96, 0x4cb0ded8, 0x76559480, 0x6d845578, 0xc3b29295, 0xadde3808, 0x6fbb52c1,
+    0x89cd3cda, 0x7a6004db, 0xb06632e8, 0xa8ee97e8, 0x7461381e, 0xc973539a, 0x17e19506, 0x77cf1a60,
+    0x15c73487, 0x558d5adc, 0x3013b323, 0x694eaea1, 0x3148e5ab, 0xb83c3a3e, 0x28849849, 0x9e8e6a6d,
+    0xc58329ec, 0xe79fe860, 0x866a75ad, 0xdf75b304, 0x5924f314, 0xad113db2, 0x20aec466, 0xa9b95964,
+    0x2474c76a, 0xf083e95b, 0x503df694, 0x4d7a6e9f, 0x0b50dbd9, 0x30d856cf, 0xd8246d52, 0x5f58c27b,
+    0xd0affbb7, 0x926071c2, 0x1e24263f, 0xf7623384, 0xefb50322, 0x2e6e713c, 0xea1d8755, 0x01ffacda,
+    0x8488e151, 0x5a49762e, 0xfa952924, 0x939896a4, 0x69f0fb5c, 0xa7c0f817, 0x0b51bb5d, 0x92c5d38b,
+    0x4c1d957f, 0x9425f26c, 0xaa3e36a5, 0x3af65f4f, 0x15c743b5, 0x53924270, 0xe32b43d9, 0xd73a5c4e,
+    0xa714ff6f, 0x7d451f3a, 0x817a75d8, 0xac7b99d3, 0xf17671f3, 0x2192de33, 0xa1e0f9d6, 0xb8c72c8a,
+    0xc2a94998, 0x87dc5e37, 0xf5f76cc1, 0x66dc4d92, 0x1e8338e5, 0x381d8026, 0x1a9f0d6a, 0x41fa434d,
+    0xb7dd26c4, 0x1275557d, 0xc27bf48d, 0x56730785, 0xde90ee2a, 0xf8385ccb, 0x1d201808, 0x7798ce4d,
+    0x21aa6575, 0x35620c0c, 0xf8b1d255, 0x911f3875, 0x4b60ff52, 0xac2b8bbc, 0x50bd4a1a, 0xfeeddf5f,
+    0xfba9f48f, 0xec40fbe3, 0x6c297a4f, 0x120fcb63, 0x360878aa, 0x95f36521, 0x3a43c8d7, 0x6ba638c0,
+    0x08b84127, 0x6044342a, 0x741163ac, 0xecde6476, 0x45b5e67a, 0x4c778b95, 0x8405b3b6, 0xad643a3e,
+    0xa881f996, 0x29006b8b, 0xc88c6850, 0xb42c554b, 0x5a92d89f, 0x351c4ce9, 0x51b6eef7, 0x914e5716,
+    0x52d9d85c, 0x4d25e50f, 0xb0cab876, 0x2ac75494, 0x1ec33ac5, 0xfd38b50d, 0xe726fc66, 0x0742a8f7,
+    0x698f116e, 0x0f44956b, 0x545198a6, 0xc35d5997, 0x01724036, 0x447217dc, 0x8f7a9a1e, 0xa9607abe,
+    0xdfa43b0a, 0x5fef9ae4, 0x5bae9251, 0x18ebb1d6, 0xc905deaf, 0x37ab881a, 0xcacb5800, 0x6dbe410e,
+    0x9c64e717, 0xf76a287f, 0xf58eb03e, 0x8cea685d, 0xdc88ca65, 0x70c23a6f, 0x7e49700f, 0x99966f6d,
+    0x052ae12b, 0x31c951b9, 0x694cbd3d, 0x5e837451, 0x5c97fdd9, 0x8c009f3a, 0x7202f179, 0xdcb13186,
+    0x3d3182d1, 0x34e764ca, 0x51fa08e4, 0x01a8e336, 0xa3de2998, 0x87e29be8, 0x0e472bef, 0x7616eda1,
+    0x1bcd4799, 0xb60f88c7, 0x3876acdb, 0xc8e9c654, 0xec61214f, 0x9e3af8fe, 0x93471139, 0x3a1ffe39,
+    0x1b1f3f54, 0x1bfc4bb8, 0xd7548b75, 0x1fe8a13f, 0xd8a45f66, 0x30830945, 0x824a8831, 0xc73a1c9a,
+    0xbed39ac8, 0x55aa2734, 0xd5f38311, 0xf42393c7, 0x425c29b9, 0x5d15f522, 0x74fa52b0, 0x4d9eadd9,
+    0x1e15d8de, 0xb447a872, 0x69930b80, 0x6a4f22e5, 0x07bc3d27, 0xbb345569, 0x9e1eb46e, 0x482ef96b,
+    0x71030445, 0x49c7e242, 0x18c3ab42, 0x59e780f7, 0x8167cfdd, 0xed56426f, 0xd6c71396, 0x32159b55,
+    0x465df3b8, 0xc817e918, 0x499092cd, 0xf8d76af8, 0xed1c52fe, 0x284c739a, 0x25de6e21, 0xac567765,
+    0xc9934e2c, 0x81607dad, 0x026dddfe, 0x7409dfcc, 0x2cbbf13c, 0xd6ed5b1f, 0x6a4324b0, 0xdabddfb4,
+    0x1c7ed152, 0x69eacd1b, 0xa296c9a8, 0x668cda8b, 0xf27b00d5, 0x7bb32d14, 0x09540114, 0x6a8901ef,
+    0xaaa69ffa, 0x09e6aded, 0xf187b3e4, 0x7adfedfa, 0x8ee3f65e, 0x903b5c39, 0x3100484e, 0x62842726,
+    0x3ffcf705, 0x89abf7d7, 0x8a63554b, 0x4c2c0fd9, 0xf7cfde5b, 0x414992f9, 0xa355ca7b, 0xe03724d9,
+    0x38727c64, 0x1e3ef158, 0xdeb9aac0, 0x475a817b, 0x48cea1ab, 0x85c49762, 0xea8bfd79, 0x818b7104,
+    0x3f3be85d, 0xa523089c, 0xb16185c9, 0xb2f674f6, 0xe6934866, 0xcde8809c, 0x294b4c0c, 0x13518fa9,
+    0xfd3aa3eb, 0xf70133dc, 0x6456604b, 0xdc75ccc9, 0xbd700498, 0x52ddeeba, 0xe9e573f0, 0xe1a70ae4,
+    0xa87dc067, 0xbad2daf2, 0xa50a3956, 0xfcb1712a, 0xee39b031, 0xb1fd58af, 0xabcbd551, 0x4cc0d209,
+    0x65a7d2c6, 0x7eb1e0e7, 0x46de035b, 0x3979d852, 0x52955c95, 0x1ab510ea, 0xa9e3aa10, 0x61c42b49,
+    0x1d903e29, 0x444cf969, 0xb323ebc8, 0x05eacd63, 0x9886851c, 0xd99c537e, 0xe6ed02e9, 0x2841be30,
+    0xb964f301, 0x0fecdfe7, 0x574d6663, 0xe45d8792, 0xe91add8e, 0xd9b2d67a, 0xe1522198, 0xb574d03b,
+    0xef5b480a, 0x9e4f0b29, 0xcb4717ae, 0xbf512c22, 0xd3227782, 0xe5788a49, 0xdcfe5d44, 0xaca7e07d,
+    0x886e76e6, 0x437f4574, 0x07b61361, 0x108b0589, 0x30022a5b, 0x436d95d7, 0x8bddab65, 0xfccf2561,
+    0xc2291ebb, 0x303f4b0f, 0x5f50557f, 0xf7fdf2b2, 0xf2a6fbf6, 0xbd1d59d3, 0x95c7da6d, 0x53bcf8f4,
+    0x48f37069, 0x8dce7abb, 0x4d2959b9, 0x0841f8fc, 0xb4984427, 0xf8b01076, 0xd9e23539, 0x7a1a025d,
+    0x54dad6bc, 0x1aa67eb0, 0xf54fbfa5, 0xab1329e9, 0xffba1844, 0xf687b11d, 0xd825a906, 0x5db95e07,
+    0x2af02566, 0x1993504f, 0xddbfc416, 0x58e92f6b, 0x6707fa87, 0xef781b99, 0x28073120, 0xbfb62b3d,
+    0xe65537e2, 0xc2e476ef, 0x90de83a1, 0x8dd425e7, 0x63cc91c2, 0xc9db3710, 0x14c99116, 0x8cd7c467,
+    0x5ba6f249, 0x7eaf0e2b, 0x664ff425, 0xbf17a256, 0x47b76968, 0x69480c5c, 0x4efe9596, 0x0d080be3,
+    0x94b9dc8e, 0x55801d69, 0x102ddd26, 0x14299046, 0x587cfd76, 0xacc265d8, 0x61a701a0, 0xea8791f9,
+    0x4f25ef07, 0x9d33b4a6, 0x3ccd8de2, 0xb71b7410, 0x9214dd7f, 0xcd457d6d, 0x626549c4, 0xb8a0d80b,
+    0xc1d94ee0, 0x210be82d, 0x06fcc927, 0xb3c820e8, 0x378ad378, 0x1b72475a, 0x2889d507, 0x6d30c513,
+    0xcc147d20, 0xf3a9e5e4, 0x6032c9ff, 0xb4719a74, 0xa6a839e3, 0xe7c5696b, 0xad4238f0, 0x98b77878,
+    0x8680f615, 0x187d18b9, 0xb5430949, 0x6484943e, 0x950f0542, 0xebdf2253, 0x9defb87c, 0x5f1a5a75,
+    0x6618ae32, 0xb4092430, 0xc24ba93a, 0x438ef7f3, 0xec1a48a9, 0x339c3ec7, 0x407f2aec, 0x18e7d9b1,
+    0x83bf3a50, 0x051d18ab, 0x940409a2, 0x2d99d4e8, 0x79448fa7, 0xff7e74fc, 0xbf45f41f, 0x510f9d0e,
+    0xb79667c4, 0xd8d2cc00, 0xaf841122, 0x28564e81, 0x4ab136db, 0x31da4561, 0x9c19470d, 0xaeadfdae,
+    0xe496f6c8, 0x57546efc, 0x9ab74132, 0xfa1e5129, 0x34e8ed63, 0xbb681c71, 0x5f9e278b, 0xd93921c0,
+    0xea0f45e4, 0x670e4235, 0xdb2d9d16, 0x930ac62c, 0x249315fe, 0xe4a76dc7, 0x373b65fd, 0x900cfbc5,
+    0x4f069dc5, 0xaa32cec2, 0xb0f20134, 0xa4332b79, 0x1637e512, 0xd198451c, 0xd1d4b5f4, 0xb97895ea,
+    0x7e53c6b8, 0x833e3485, 0x0ca6cbd7, 0x2f47c911, 0xb7f60a89, 0x832b0faf, 0xdd229512, 0x796102f4,
+    0x57a1815b, 0x4bf47252, 0x26f51683, 0xed825f6a, 0x3e79fcbd, 0xbc59818a, 0x3c37a0b8, 0xef228808,
+    0x37da7c63, 0xcf16c87f, 0xc8e7dc37, 0xa370ef43, 0x8702325b, 0xea08d1b0, 0x8591ab5e, 0xb18ed502,
+    0xfff171ca, 0x86739adf, 0xbd83c537, 0x070aa231, 0xad5cc8eb, 0x2bb179fa, 0x636fc0b1, 0x309cf8aa,
+    0xe975e1d5, 0x586135c7, 0x309d0349, 0x54eb691d, 0xb1432584, 0xace4441b, 0x8da636e2, 0xb1d5354b,
+    0x35e57512, 0x08b5959a, 0x5ce4cc77, 0xc70f7b1b, 0xf956949d, 0x596b492a, 0xe8d040e9, 0x3c7b89ed,
+    0xf757408c, 0x59642737, 0x40b8403b, 0xb34bc976, 0x7bcf403d, 0xa5f5ca8c, 0x33f5ee13, 0xb3cbc02e,
+    0x545847b1, 0x0736d7a3, 0x4ee9e21b, 0xb9bc017f, 0x0e32b457, 0x200910db, 0x7a448795, 0x4fce0336,
+    0xfb00de35, 0xf667212d, 0x78e47d54, 0x514e082d, 0xd40e81ea, 0x45f1377e, 0x310b28e8, 0x04e5a1e0,
+    0x919baa1c, 0x32485b13, 0xb8161920, 0x218f24f5, 0x37662c2f, 0x2eb3da31, 0xfb51a83b, 0x19829120,
+    0x684d337a, 0xf8d9a06d, 0x2ddbb885, 0x2512b079, 0xf35de5be, 0x753739c8, 0xe0da300f, 0x77cac517,
+    0xc89764ba, 0xaebc4933, 0x205fb75e, 0xd22b7535, 0xbeb20a4f, 0x419fc75b, 0x2dd9b6e2, 0x01961438,
+    0x776d8013, 0xbcf361f3, 0xb0c0ab87, 0x077c6753, 0xbef85813, 0xa7d36536, 0xd37afd62, 0xe24888f4,
+    0xcde5986d, 0x9ee3a285, 0xaceaac97, 0x6681a231, 0xe2819f17, 0xfdf0a2f6, 0xa49d06ba, 0x40d312b6,
+    0xed7c47b8, 0xf0c24846, 0x5e6229e9, 0x21b6408a, 0x61e58cde, 0xdd150a0c, 0x693d80e1, 0x387af864,
+    0xb8fd6995, 0x8a9797f1, 0x80077732, 0x62bd723d, 0xdad529ea, 0x31acea4b, 0x2edc7d15, 0x88670fdc,
+    0x85118f1d, 0x47ac24e3, 0xc57274a1, 0xb881c289, 0xe84971d3, 0x5a9fc7a7, 0xae65a224, 0xe548befe,
+    0x251f062c, 0x2119e491, 0x5e15ad6c, 0x299ec38a, 0xc37098c1, 0x10d4e4e8, 0x2b1ba69f, 0x008037d2,
+    0x3438cae1, 0xc8d418dc, 0xac1d17f4, 0x24e063bd, 0xf9392d63, 0x4067db14, 0xe657ae08, 0x06c7151e,
+    0x7643b90b, 0x7a28154c, 0xb40e10ae, 0xfbf74f07, 0xa55e5d09, 0xfe93f727, 0x0bcc09e5, 0xa07dbe37,
+    0xe4401728, 0x581b8e14, 0x2af22d84, 0x381b71a8, 0x30d9237e, 0x5c31d2cf, 0x4cafa5a7, 0x5de23c7f,
+    0x8e315de9, 0xe3601de7, 0x56c8f8b9, 0xd480e90d, 0xb2839a8d, 0xe82902a8, 0x343d5358, 0x02dd852c,
+    0x541517ae, 0x2747b883, 0x0b536da3, 0x980ca819, 0x15cf9d75, 0x9e4dd99f, 0x8762115e, 0x7fd46276,
+    0x4107763f, 0xcee1d9ec, 0xbe1bde99, 0xd9a4c65a, 0x44e5b0f1, 0x2542cfd3, 0xcea7b0b3, 0x7375b915,
+    0x26ec688a, 0x7fb4a675, 0xf202987c, 0xdae3725d, 0xb1b60168, 0x7d18606e, 0x8d495ca2, 0x27fec8f7,
+    0x7925e14d, 0x0c900364, 0xccf0bb51, 0xab7af81f, 0xc781eda1, 0x002648df, 0xa83973d4, 0xce7ea65b,
+    0xc08d2f1d, 0xbe5f2f0b, 0x2d372a78, 0x4d06624f, 0x17076061, 0x93ee307c, 0xe8820689, 0x44b22c30,
+    0x3755a9d2, 0x2bfc045f, 0xfb349313, 0x3da03bb1, 0x78a25355, 0x21313eb9, 0x702685c2, 0x8ee625df,
+    0x28c725cb, 0xfaeeb3ea, 0xee038949, 0x1eb8fc01, 0xed3cc453, 0xc84ec0ce, 0x4074e6fd, 0x233ab2b9,
+    0xbf9485e2, 0xbc5985a9, 0xc91c47ac, 0xe4ba39f6, 0xdaa8d2d3, 0x8c1ec823, 0xd00b1f1d, 0x0db9e90b,
+    0x62240d90, 0xfde24202, 0x846e8abd, 0x842644f8, 0xad6ae35c, 0xb550d422, 0xee7b1b39, 0x11067985,
+    0x1b0d43fb, 0x1ebf592e, 0x28807514, 0xcceabc2c, 0x04ab672f, 0xfee74be9, 0x94fdd0a7, 0xd214abaf,
+    0x77fede40, 0x46d64f99, 0x024f0691, 0x1438f076, 0xd060e45b, 0x817658fa, 0x28c4dd21, 0x288bc81b,
+    0x665629de, 0x95ee9095, 0xb2995b70, 0xe82fc912, 0x6d873ff1, 0xf689e7ab, 0x71e32976, 0xca1566f1,
+    0x8f6a079e, 0x8884a6df, 0x38af13f0, 0x1bc84cc4, 0x7a15d05f, 0x11b4fa8e, 0xb0eda88d, 0x6afb60df,
+    0x4c65a31d, 0x45154fe9, 0xd0cba5e8, 0x963d71eb, 0x2e42ccff, 0x73dd60ec, 0x2a824029, 0x7fd2a1d3,
+    0x14fe563c, 0xc060b1e9, 0x038f31cc, 0xb3f361d0, 0xd6de9fc4, 0xa47cd80e, 0x4d502ded, 0x154c336d,
+    0x0e419b32, 0x8ca38a16, 0xea0554c9, 0x60577ed0, 0xe8e7670a, 0x14ac94e1, 0x4f38288a, 0xa9f9f063,
+    0x939ee17b, 0x405c3070, 0x366ccad4, 0x0bd7442a, 0x69704a53, 0xa7f9f914, 0x5bb7e2dc, 0x9b8f928c,
+    0x00000000,
+    0xa80db69f, 0x3da19723, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000002417851639229258349412352 */
+  { 0x00000000,
+    0xd7559bc2, 0x72ced7bc, 0xff00bb22, 0xc530ec4c, 0x7b3ab8bb, 0x7cbddce2, 0x93ae5a84, 0x2716223d,
+    0x2df36c47, 0xa8b8e7e5, 0x69a616a0, 0xb0a81327, 0x802e4b97, 0x1922f88b, 0x39eeb2b6, 0x15a5a77b,
+    0xd85cc912, 0x5ac2be28, 0x7543011c, 0x810cfe42, 0x06262e44, 0x13aed2ac, 0xdbc1b3a8, 0x2f01c52c,
+    0x884b2d65, 0x9c9d1a8e, 0x3e3f5e07, 0x19bd4944, 0x72f3388f, 0x504290ad, 0xcc6a9741, 0xd57afe19,
+    0x9e81443f, 0xe1585e67, 0xf637995a, 0x6f4f957d, 0xc01229ad, 0x6675a3a9, 0x036a0878, 0xf7804bd2,
+    0xa0f183d5, 0x4fffa34c, 0x0970201b, 0x9ffd25ea, 0x1fa54bb0, 0xae8c3171, 0xc0c6a875, 0x95fc321f,
+    0x259ea6d7, 0xd1b95808, 0x4000ddcd, 0xa3cb0a5f, 0xd455d017, 0x8ad2ea4d, 0x671facec, 0x7a4f9c89,
+    0x359509f4, 0xb4834f01, 0x9346adbf, 0xe6f54de1, 0xddac44a4, 0x9d23dde6, 0x2198a2ee, 0xa5947b8c,
+    0xc431f358, 0xbae31c54, 0x119c41c5, 0x8d473615, 0xc2362db8, 0x0072da52, 0x608e4a78, 0x0087e193,
+    0xa8a6334a, 0xa9d1ec9d, 0x953e06b1, 0x4d91f03e, 0x355388ac, 0xa65d76f1, 0x47817931, 0x51bc2ce9,
+    0x7bfb47c2, 0x29f9517f, 0xaaee7aea, 0xff60624a, 0xf81297d1, 0xe3d944cd, 0x36136805, 0xe6179d90,
+    0x2bfa40a4, 0x92431a49, 0xfeac2090, 0xc8f71e1d, 0xa513f21a, 0xdb2856d2, 0x0bc042af, 0xb0796af8,
+    0xe9d050ae, 0xb8c4d21e, 0x304e463a, 0xda075627, 0x23ffd294, 0x26dd2de1, 0xa5dedc1b, 0xe4d7775d,
+    0x8e3051e3, 0x749c39bb, 0x5bf7e72c, 0xe58529ed, 0xc81c4cee, 0xec7f4f80, 0x0392dea9, 0x46274249,
+    0x631c674e, 0xdc5d3ca0, 0x009d8b81, 0x95fa3922, 0x9e92862a, 0x13cb404a, 0xa7ab0215, 0xd7ba0c95,
+    0x0afb532d, 0xd47af9b0, 0x4903fb07, 0xb92c7e6e, 0x8d034040, 0xd1232a9b, 0xcf166861, 0x19ee0857,
+    0xd27770fd, 0x444a1a4a, 0xd1369f2a, 0x70e62d78, 0xb8959a71, 0xa69395d3, 0x576f6eff, 0x6b540cea,
+    0xf5a889af, 0xb9f75480, 0x1fdfef5d, 0x10401e64, 0xecdf106e, 0x5cf54614, 0xc7f48a0c, 0xef8863df,
+    0xeacda945, 0x79722869, 0x2f38161a, 0xf48bfd84, 0xbf040f91, 0x8f0c009d, 0x25ef65b0, 0xdbcaaba9,
+    0x1dc850b6, 0x71daad9a, 0x34cdb076, 0x580d90d5, 0xc3955e38, 0x3c325560, 0xd277f759, 0xb01bceb8,
+    0x2ae16f3a, 0x6d84f80d, 0xedc8629d, 0x3895a883, 0x19c7436e, 0x66af5990, 0x4e607e76, 0x9f61b4d6,
+    0xcd5c94aa, 0x085be606, 0x94c30a8d, 0xcc708ee2, 0x99241a59, 0x828a14e8, 0x7fadb9c4, 0x6b5851f6,
+    0x40563339, 0xc7eac62d, 0xc083c76b, 0xd5fdd95d, 0xa75c6dcf, 0x8a88c081, 0x837b265d, 0xaece7925,
+    0xae91e7a8, 0xca234e02, 0x9ef49a7a, 0x85ac5aaa, 0x12c786a2, 0x6bdb43f4, 0x36209e2d, 0x7674d2b8,
+    0x4c82df20, 0xd9b3246f, 0x76837edf, 0xa8df4f84, 0x4214ac35, 0x0cad2533, 0xbcd04393, 0x2bfd6f82,
+    0x7b843538, 0xcb628c0b, 0xa66ffb24, 0x903e8837, 0x0110fa35, 0x642026ad, 0xcd2815ba, 0xb8f30fbd,
+    0x0c252a99, 0x6ed1385e, 0x7f736b43, 0xc7322a22, 0x5523f568, 0x7b4b997b, 0xea900e2f, 0xd2b2119c,
+    0xe1c2d2af, 0x263556c4, 0xab2b0fea, 0x682e40ac, 0xbc0e07c1, 0xf21703b8, 0x18496fcc, 0x075eb72b,
+    0x1e3d9160, 0x82ee4e00, 0xbad3b843, 0x3d1bd79b, 0xbcf14c67, 0x59704163, 0x904dfb9c, 0xf3510385,
+    0x98867e54, 0xe5f700c7, 0xe544701e, 0xa7675b89, 0x8cf7a20f, 0x8aaa08c6, 0xe35289c9, 0x1de39315,
+    0xa77f659a, 0xbe0d0bf4, 0x70b0f6fb, 0x0e604e46, 0xd7c88f35, 0x18887d00, 0x10acf4cf, 0xc64b014d,
+    0xa4fb7f28, 0xc6102913, 0xc493fc47, 0x7fe019c3, 0x5dba1b71, 0xe3c4832e, 0xd029d5fd, 0x72e2bd0d,
+    0x40e84890, 0x7598bd23, 0x470eddca, 0x2920c76c, 0xbcd8b467, 0xa7ddd5d1, 0x4d025468, 0x0587c187,
+    0x28cec105, 0x3ce33b41, 0x69e68788, 0x866ed683, 0x20e9cb47, 0x21394bb7, 0xa3b0008e, 0x827fdf6c,
+    0x2d00b7b5, 0x4a6bebe3, 0x3ce85d6d, 0x40fd1fad, 0xc8d753d4, 0x9cdb9601, 0xce2778d9, 0x4b879347,
+    0x198d2a71, 0x3be4eb6d, 0x49054bda, 0x3b752ef5, 0xb848676e, 0x871f0bf6, 0x00e5e75f, 0x29a555a4,
+    0x5880868d, 0xe48268f0, 0x3ac92d3e, 0xdc7ca8dd, 0xa94618ec, 0x8b1add3c, 0x03598ea3, 0xad4471d6,
+    0x26fa9479, 0x856da4d0, 0xf0786693, 0xe5200d76, 0x3c1dd4ba, 0x34f33853, 0xf9cd0ffc, 0xb8102e26,
+    0x4c23403c, 0x33c75f39, 0x201d14cc, 0xa1444fec, 0x86eb24d4, 0x65946d0e, 0x6f8424a0, 0x246d398f,
+    0x8a249ec0, 0xa92a85c9, 0x1b242a3d, 0xd39e4e48, 0x485e8755, 0x74b6066d, 0x3d62fa0b, 0x3420df86,
+    0x4725d47f, 0xfbb2ef20, 0xadb7fd6c, 0x34c351ef, 0x35e1f99e, 0x6a624b99, 0x8b7b0d8a, 0x96dc70c8,
+    0xf9aa819b, 0xb18ba41d, 0x8d4e5f20, 0xb2ea147c, 0x86d1356f, 0xb4ae47d2, 0x65d482e5, 0xb8de9179,
+    0x09628b04, 0xd2326b6e, 0x94d8472e, 0x30a84ac6, 0x01919cba, 0xd39d6b95, 0xadfa3cf3, 0xcf92527d,
+    0xd1350816, 0x13bbb9fa, 0xcac40ca1, 0x104e37c4, 0xbdcb9026, 0x45a90a71, 0xa98f0d1e, 0xf34213dd,
+    0x6a886942, 0x145e40bb, 0xce4a8623, 0x103660de, 0xe5d07af3, 0xe642cefb, 0x58c68d9a, 0x3d901a70,
+    0xf6d9b7c7, 0x1afea006, 0x52f83974, 0xd29650fe, 0x5d4e6ae3, 0xb6320735, 0x817b4bf8, 0x03abf94b,
+    0x66ea9671, 0xa4cf970f, 0xee30f11d, 0x46b49ca3, 0x132737cd, 0xa17b1fc5, 0xe048626f, 0x56ce4262,
+    0xffa63ac5, 0x27f227c6, 0xcdc92a3b, 0x6f30ec72, 0x8c36f662, 0x6118073f, 0xc2870e6a, 0x3cbdc0cb,
+    0x9773fb06, 0x4ae8ea80, 0x8cb6f082, 0x59a9cdb5, 0x6aac7f76, 0xe2501252, 0x7663e3a6, 0x0bcd6c08,
+    0x36430069, 0x6a2c6df7, 0xe465c7e4, 0x090c23b1, 0x14ba112f, 0x0f561036, 0x75d43e08, 0x92552f87,
+    0x9863649f, 0x45f77f0d, 0x9686b24c, 0x035201f6, 0xc439c518, 0xf7e54ded, 0x436d3bc3, 0xd35a479d,
+    0xc2f3e16c, 0x2a51560d, 0xf86b77e1, 0x18443cba, 0xf56da144, 0xcee42a83, 0xbeed57e3, 0x10ac6cf7,
+    0x802b85d5, 0x9963a3df, 0x3a114da5, 0x57c33808, 0x521c53a7, 0x468c19c7, 0x449c84ea, 0xa9a3cd97,
+    0x06ba44a3, 0x27991165, 0x975d1d16, 0x1086e761, 0x583a32d4, 0xe7b38e53, 0xbc9d3fcd, 0x789266f2,
+    0x4eadd97e, 0xf06e4e1c, 0x486f32e6, 0x82628495, 0x6f345606, 0xfe3ec9f1, 0x57252870, 0x69d6d5ac,
+    0x8afeb7dc, 0x330df621, 0x41786355, 0x13eb6f6a, 0x2270b50e, 0xbc0f3f57, 0xaf33eafc, 0xaf872505,
+    0x8e8ef61e, 0x5222a915, 0xa6d11c19, 0x0cc7d16f, 0x8c284a18, 0x968edf39, 0x15682743, 0xdd310fcd,
+    0x07d43bb2, 0x29a93595, 0x5479a1e8, 0x0737563b, 0x12452ced, 0x6673bec3, 0xce126b98, 0x54d92a02,
+    0xd3ceb8f3, 0xcbbc3e10, 0x13f350a9, 0xd8f5b131, 0xc71a1438, 0xb2295ed9, 0x505dae71, 0x60f226c8,
+    0xf740de4a, 0x17d82fa9, 0xe2f005a9, 0x95db44af, 0xd50be8b0, 0x922372ed, 0x2656a455, 0xeee63a64,
+    0x06a31fd1, 0xa4414383, 0x5b0e738e, 0x9cb3f3ac, 0xe4edad2a, 0x2269b4ab, 0xaaca48d2, 0xc91bf9fc,
+    0xada0a784, 0x0e3ffc90, 0xecca655a, 0x14704143, 0xd220c45b, 0xb1528340, 0x956b2cfa, 0x8beb38b7,
+    0x7b4ee7d6, 0xff8a9a15, 0xbf0fcd0f, 0x8128599e, 0xcf70997f, 0xa1142a36, 0x956a139b, 0xf572f6aa,
+    0x35dff85d, 0xcac2576b, 0x2c9ebecd, 0x5e9fc9e1, 0xb6bfdc5c, 0x68784383, 0x97ee9d50, 0xce9c81d4,
+    0x5f48834d, 0x6f15ef42, 0x91b1eeaa, 0x0bd41c96, 0x7c3a62ba, 0xd2d77cde, 0x62d4b092, 0x6c169d25,
+    0x5355e9c2, 0x9e4015af, 0x39166668, 0x27f9f7c9, 0x46557d64, 0x82e1cc6a, 0x37e883ae, 0xd485b51a,
+    0x672911aa, 0x8bc56a46, 0x6f976516, 0xe7f56814, 0xfff084f6, 0xabbdc834, 0xeed4da7c, 0x0263b9a4,
+    0xa12f6853, 0xba83a6be, 0xc23bae8d, 0xfd8e7582, 0x069292c2, 0x47ed1a7c, 0x74722c60, 0x1586878e,
+    0x9cb3eb68, 0xd118943c, 0xf2227659, 0x5f7d1308, 0xc50b042c, 0xc6c163d9, 0x0f2cd9d5, 0xa84a55eb,
+    0xecf7bfea, 0x434df24f, 0xdb1db87a, 0xd5d6865a, 0x1ea3e88a, 0x23c78360, 0xe06af8df, 0xcb9df0e6,
+    0xdef373dd, 0x10d60eb7, 0xc4464387, 0xbf2563f5, 0x37f7b58c, 0xa546397a, 0xb2656836, 0xbd9b73bf,
+    0x442cf8f6, 0xe53ce39d, 0x494825ea, 0x9ed17d0d, 0xe6ec6f51, 0x05d3d5a4, 0x824971d8, 0x4a55bc59,
+    0xd20d0b8b, 0x273d7db8, 0xf552ed54, 0x0b9c110e, 0x2cd44025, 0xa075988b, 0x354b1979, 0x12c7e0c8,
+    0xa3c6f433, 0x600ab322, 0xb504275c, 0xbb42244c, 0x1fbed01a, 0x3a167e69, 0x0bca3347, 0xcd3dd019,
+    0x2730de7e, 0x7c5bdabc, 0x66ae74b0, 0x3b743306, 0x6ccedca2, 0x23f61380, 0x244b90f5, 0xbac5b623,
+    0x807daa75, 0x791b67d1, 0xb846972f, 0x757747e8, 0xf4f0cb0f, 0x00b7c453, 0xd8efa722, 0x01d002f2,
+    0xd9629582, 0x245a7deb, 0xff5c6259, 0xe18c55ff, 0x9de748d6, 0xea9c9d87, 0xd1c7c00b, 0x2f93d687,
+    0x06dd1490, 0xb554db5f, 0x8f133f00, 0xc3ce040a, 0x46aedf2d, 0x123f425e, 0x2841f6bd, 0x8be35e3c,
+    0x58a5b215, 0x37e30ff5, 0xe5a1d092, 0x2b25d4fa, 0x3f56a058, 0x20275842, 0x66271bac, 0x90712c27,
+    0xaba05813, 0xcab0d4c3, 0x51ca7f68, 0x70eb1642, 0x5ccbf755, 0x03e1176f, 0xe438c586, 0x5c1402eb,
+    0x004cb1ac, 0x6802e32b, 0x42b89254, 0x333720bc, 0xcf65215d, 0x4c793195, 0x28e51eb6, 0xf8d13ca5,
+    0x29ce2d75, 0x5cf5e1de, 0xc9e516a0, 0xf6a61e3a, 0x49af17b5, 0x7ab60b55, 0x2db9f591, 0xe4a13d4b,
+    0x25571cae, 0x1f92b3f3, 0xd8593d75, 0xbd4bbfd4, 0x17bf909f, 0x9037e4d4, 0x0931dbcd, 0x084df246,
+    0xb7bcf965, 0xdd9b6015, 0x10382f8e, 0x6348fcd3, 0xecbfad41, 0xde4cfc4f, 0x0bd889a7, 0x3460bbbd,
+    0x2da5987b, 0x78e5c534, 0x4faf1352, 0x1dacc1ce, 0x2b462086, 0x56705575, 0x2fa9d219, 0x97b86796,
+    0x2ad1aa05, 0x2e5ead7c, 0x73320e75, 0xa9638ff3, 0x53b3a1e9, 0x617611ad, 0xc20e87f4, 0xe71af026,
+    0xc79c07b9, 0x5dd1c0c8, 0x0f0c91b7, 0xd7223ce0, 0xb31641ce, 0xbc11bcd5, 0xdca2f11f, 0xd0f71c32,
+    0x4cfdfbdc, 0x62008124, 0x6c89eab0, 0xd958256a, 0x31fb203a, 0x1a20340f, 0x4b45a339, 0x1b4f250f,
+    0xc6cfae5f, 0xca1dae9b, 0xdea55cbf, 0x4d8b41cd, 0x4f3cded7, 0x818ef680, 0xa8008ab3, 0x23b0d9ad,
+    0xa78c228a, 0x0d7d26dd, 0xab267262, 0x7c91e2b3, 0x4fd8d127, 0x40245d54, 0xe698d8bf, 0x7387a9af,
+    0x657e0ade, 0x30ad548c, 0x106079ea, 0x61cc6a33, 0x3e00ddb8, 0x14db54b6, 0x20a964f2, 0x2707dbfb,
+    0xadc82280, 0x208a9c8d, 0x67506bb1, 0x4a7aa7ba, 0x3faa473e, 0x5ec1ed53, 0xcc254196, 0x25fa4ae4,
+    0x69635cf0, 0x5d2af5ec, 0x3c18bf59, 0x0cc90f5d, 0x9532c235, 0x3f8fa870, 0x962b9dc8, 0x99209619,
+    0x734a2c8c, 0x250eae77, 0x7b11a93a, 0x68f70c29, 0xddd9cd90, 0x5f4f5054, 0x24d949d5, 0x14df39b4,
+    0xb529e813, 0xfab8e2b4, 0xd26069ca, 0xe7072294, 0xd9c50a30, 0x98df6193, 0x71d40934, 0xf19edfa6,
+    0x88ccbfd7, 0xd025ed4d, 0xb8b6bfc6, 0xc3736090, 0x26a3c0bb, 0xe092e0da, 0x5c410220, 0x8a8133f8,
+    0x85e5bf79, 0xf9e76534, 0xcececef9, 0x13ee030c, 0xe04dc128, 0x437cd2ff, 0x0b02ffbb, 0x4dac9bca,
+    0xb1450046, 0x25301c6d, 0xc2706ee2, 0x09e20113, 0xf363d65b, 0x24ee2a18, 0xab58de79, 0xf92c234a,
+    0xcb2a618a, 0x28d09edb, 0x8947469f, 0xc82abded, 0xae623550, 0xa5cd084a, 0xad3429cc, 0x64713909,
+    0xfe77359c, 0xa966940f, 0x23a2166b, 0xc6fd26ee, 0xdd7f611f, 0xe552643c, 0x4a998914, 0xd2dbc2e0,
+    0x3c61aeb5, 0x681d0d88, 0x85e595ed, 0x62afda27, 0xa3b64f6b, 0xda9c6b88, 0xbd2371b6, 0x9e612330,
+    0x186208d4, 0x161a16dc, 0xc6950357, 0x785b015b, 0xfb76a80a, 0xe71d448a, 0xc40dfff3, 0x8eb0ca86,
+    0x7a80a8d9, 0x62b7b768, 0xada15439, 0x81cdd9fa, 0x356baf4c, 0x1edb6c8c, 0xc55362af, 0xbe4af22b,
+    0xd96c9136, 0x320c7dce, 0x4c2fc2c3, 0x37d47e69, 0x34fce221, 0x4fc0fe48, 0xdba9fdbe, 0x139ed540,
+    0x672e29dc, 0xe3038717, 0xbd237edf, 0xbfe9d16e, 0x9ebda4dc, 0x47920ae8, 0x8652e631, 0x8e0a3e72,
+    0x4c1ea522, 0xab632228, 0xb93d4e39, 0x4d03a59c, 0xb519c72f, 0x0362d5b7, 0x9b951fa6, 0x3bbf9902,
+    0x2d19a117, 0x23610dd3, 0x9b158de4, 0xe620452f, 0x7c761c8e, 0x36b82ed5, 0x0d558480, 0x2af63dc0,
+    0x3c19eddb, 0x696ce75a, 0x0ab37d96, 0xd8b87496, 0x20a607f6, 0xaaa0be77, 0xadc4a37b, 0xc612a4dc,
+    0x3908cfe7, 0x6e0e184e, 0xcce9ac0f, 0xfb84af11, 0x942078a6, 0x1a584925, 0x449bbdeb, 0x7e9a09c3,
+    0x5f78173e, 0x8f4df691, 0x6912c82a, 0x995ca507, 0x4653d1af, 0x3643d79c, 0x6c07d4c2, 0x7fd36300,
+    0x8d99a7b1, 0xa7f5d215, 0x48492813, 0xba66f65c, 0x4ce53770, 0x7d49b8ae, 0xc5b407e2, 0x03d9ae2f,
+    0x1b56eddb, 0x7163ece9, 0xe6468ae0, 0xc4f7b2c7, 0xb4449d75, 0x1bbf185b, 0x6e4d6a73, 0x648fe123,
+    0x6a936e19, 0x927f55b2, 0x5bd1412d, 0xc278dcc3, 0x002e1751, 0xd5f457b7, 0x22804a64, 0x02230aac,
+    0x2f4ba513, 0xd6d92216, 0x4a3e8a7d, 0xc61046ed, 0x33f40fc8, 0x19db1d54, 0xaadc430c, 0x7d4febfc,
+    0xd1473ec9, 0x14b93085, 0x02f035ee, 0x18046738, 0xb3b72793, 0xc13ca4ca, 0x8b3849bf, 0x4c702070,
+    0xd4534bc2, 0xe3db8eb0, 0xd36e6807, 0x26a2a482, 0xb87d6a67, 0x709858b2, 0x0848e241, 0xf991d19a,
+    0x86481ecc, 0x2fa0943d, 0x65b6bb7c, 0xc7137548, 0x2d2bf9af, 0x84111090, 0xbcf33ed4, 0xf4644098,
+    0x85925950, 0xa8f65ae3, 0x76f8bc18, 0x1e7d10f2, 0x5131bba2, 0x0ad614c2, 0xec8e98b4, 0xc6b2e6b5,
+    0xbcfab720, 0x0275d16c, 0x8fab4981, 0xc6220590, 0x4051774e, 0x5cd823db, 0x344f1c50, 0xdbc2b93f,
+    0x4b4bb4b7, 0xec4b233e, 0xcf554948, 0x9108e9fd, 0x22531456, 0xd7c9c0f7, 0x316f8445, 0x9ef5c625,
+    0x357a8ba5, 0x05aa6479, 0xc3209c86, 0xd405cc13, 0xee561e30, 0xee7fa1fc, 0x474ec779, 0x668e4394,
+    0x7395141c, 0x37fb8b13, 0xda7648c9, 0x38c1dcd9, 0xfa836553, 0x48ab75b7, 0x16084a50, 0xeee73d34,
+    0x25125c4f, 0xc8a30754, 0x961c8330, 0x9b6cedea, 0x51439528, 0x277293a1, 0xa0a2e8ee, 0x21ee0671,
+    0xe648aa82, 0x77de2d29, 0x5e79c909, 0xe55c6b37, 0xb0c123a8, 0xf7884e80, 0x18cf73f3, 0x7d903179,
+    0xea75d1c4, 0x11a21c70, 0x006b9665, 0xa93e4479, 0xcf0a702c, 0xa66db930, 0xdac1437e, 0xa4870a79,
+    0x74ed9102, 0x0981a18a, 0x2cd68b21, 0xe8890db1, 0xe758e031, 0xa07d90d7, 0x3c520cfb, 0x8d1befdd,
+    0x00000000,
+    0xd406db4f, 0x1ed0cb91, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000001208925819614629174706176 */
+  { 0x00000000,
+    0x45bb136a, 0x98693e43, 0x8efe8799, 0x0bf91b78, 0x6455c154, 0x96e1c7b5, 0x76102e81, 0x5124f234,
+    0x67bafc51, 0x23c421fa, 0xaaced3ca, 0xc01a8551, 0x00a08d9a, 0x32dc205e, 0xb8b4ed69, 0x3ff0849a,
+    0x32c928a2, 0xa2b71c7b, 0xcb9d1ba6, 0xdac1febb, 0x2e70109e, 0x5ae3022d, 0x0162eef2, 0x21a3a367,
+    0x2a8d355d, 0x9f3e82a4, 0xadf1cb76, 0xb71303ac, 0x28f440ee, 0x593a2f47, 0x9d38faea, 0x0016457a,
+    0xa47e3543, 0x40c426e0, 0xaab0df62, 0x4260e231, 0x85356379, 0x9619168d, 0x89d2766f, 0x37b539c8,
+    0xd283a59f, 0x77bca933, 0xb851d0e9, 0xd6bedcf4, 0xd144f71b, 0x2b31aee0, 0x8c29fe5d, 0x504acb24,
+    0xc3f22224, 0xe5594e71, 0xe3772b1b, 0x90209311, 0xd83fa645, 0xf36419c2, 0x1c96cbe4, 0x4d45f199,
+    0xaff01fb9, 0x5802b990, 0x2c00be28, 0x823b993a, 0x958e931d, 0xbccc04a3, 0xf47d3d31, 0xf475966a,
+    0xf37d5df1, 0x8983ff93, 0xd14645b3, 0x343fee46, 0xd57017d2, 0xc7c1c4e2, 0x06bf2013, 0x8d1b7630,
+    0x76eb6819, 0xd9771b85, 0x95cb1cfa, 0x0ddef308, 0x9920401d, 0xfae9ac9b, 0xb353114f, 0xf03e6103,
+    0x5cfbb1c9, 0x18949846, 0x162b7b1b, 0xd66bb484, 0x41413c5c, 0x526e124f, 0xb63fdaf4, 0x6e79c2c8,
+    0x9baac1f0, 0x75a4d595, 0x9ddcde53, 0xe3cc36c7, 0x4ce15e0a, 0x2eb8356f, 0x628c9fd4, 0xd31e6a92,
+    0x02a8e08c, 0x885d5e1e, 0x004dd345, 0xe5fcc85e, 0x477433ad, 0x1ce65f30, 0xf9a5ca92, 0x107e196a,
+    0xef29fb6f, 0x706bd937, 0xe5c3bfaa, 0x4c6f1d35, 0xd80b229e, 0x0a7c183f, 0x9ba993cc, 0xb13ac6c9,
+    0x8f57b53e, 0x29a78cf3, 0xcc351838, 0x8ec6beff, 0x9518d24b, 0x7dcaf7e7, 0x849fe7e1, 0xf90f2880,
+    0x60d0c73c, 0xa19c0f1e, 0x8a0832ca, 0x8ffbe186, 0xf2ad637b, 0xd832d7a4, 0x43f8322f, 0x2dab8e06,
+    0x215f40a7, 0xfc47b1e1, 0x8dbacf4d, 0xec6c76c1, 0xcddaf08b, 0xae009acb, 0x06211428, 0x7979d0d8,
+    0xca833546, 0x4b2dcb23, 0x2d7136f2, 0xb4caf4ce, 0xc40b88d8, 0xe020e677, 0x4db4b37c, 0x352d14c2,
+    0xfe3891a5, 0x14e2ed87, 0xecf9f188, 0x23e2bc26, 0x849d83f5, 0x672ccaa9, 0x88001f6f, 0xa34b5bba,
+    0x31184a5a, 0x23e436d2, 0x30d1181a, 0x842f6028, 0xdd090882, 0x38c88a18, 0xd8a27d04, 0x512aeca5,
+    0xc1f24ffa, 0x7badbea7, 0x5f449637, 0x81cd197b, 0xdbfaf619, 0x6f5655b0, 0x7a2c6776, 0x34c73fd6,
+    0xd058c726, 0xa208b7d8, 0x5da5a9d0, 0x3ff73b37, 0x34feb876, 0xfeea11ce, 0x78e0f3fe, 0xab1317ce,
+    0x4736b20b, 0x553f7f3e, 0x30bada8e, 0xd30b0edf, 0x5cc1356e, 0x1932127b, 0xab9cbea1, 0x53f0099a,
+    0x622e4fa0, 0x93c87569, 0x03443088, 0xfce7fea2, 0x95e5c057, 0xc30d456c, 0xa7bdcdf9, 0x3fe5a9fd,
+    0xbd3da1e4, 0x300318c2, 0x894a44ad, 0xaf97607a, 0x8f5a5d29, 0x891f1113, 0xd2f64ddf, 0x4f5fbd50,
+    0xd1476cd8, 0xb6e8df3a, 0x3516c338, 0x1518f32e, 0x8717dc7b, 0xd90cfe15, 0xfe9846f0, 0x9502d1cb,
+    0x3f5f5382, 0x89be5a0f, 0x77999fa0, 0x5b8d7901, 0xb2e788d4, 0x8933db3c, 0x9cc27df8, 0x5c480fa3,
+    0x96591541, 0x239dca4a, 0x23659fb5, 0x5b3927ea, 0x669c77f0, 0x9f972880, 0xf29a8a49, 0x75792de5,
+    0x92c040b5, 0x5345e542, 0xdf553c38, 0x6461aeb9, 0xd9d84700, 0xf6e8290f, 0x3f46dccf, 0x4aea14f0,
+    0xff1f4069, 0xf85711cd, 0x8b109782, 0x2e004a7b, 0x14eb0fc1, 0x488b987b, 0xe15f3d0a, 0x4ad2cf0e,
+    0x031df310, 0x9bcb1464, 0x073bd2b7, 0x9ca82bb9, 0xd3388f28, 0x9c3cfbb9, 0x1fb27b3d, 0x403c73ab,
+    0x38ae987e, 0x1194dc9f, 0x877ee457, 0xacb757b7, 0xb307b1f1, 0xe2331241, 0xaf4d556a, 0xc5a19428,
+    0xc2f4b65f, 0xbe33aaeb, 0x2b5e1ec1, 0x646a3051, 0x20714c3e, 0x758797ab, 0x32bb8027, 0x3f081a6b,
+    0xbeee9c27, 0xa4b26bb2, 0x307aed6b, 0x5c60c2a7, 0xd560525b, 0xc55fad67, 0x3e8c2488, 0x04b5c019,
+    0x2834f695, 0xa3b8a6a8, 0xaf75a46a, 0x19d5b04b, 0x5e932838, 0xa1dd096a, 0x26717c2f, 0x8eccb9e1,
+    0x3f46e4cc, 0xd01fbe5b, 0xb01b7344, 0xf79178e0, 0xeb33fac7, 0x7925994f, 0x8f01e0b7, 0xb1127c6e,
+    0x5958b2c0, 0xdfcafec1, 0x39e993ed, 0xd9756de7, 0x8eb71a2f, 0xb68d34e5, 0x60032ce9, 0x610613b0,
+    0x60b034a3, 0xb849c66a, 0x7554a79c, 0x54d857d1, 0x91c7762b, 0x4d073581, 0xcdb300d8, 0x7bad7e18,
+    0xc0c56281, 0x6f213773, 0xb6db7471, 0xcf5dff7a, 0xc55ac01b, 0xd9837062, 0x2bb9ab6a, 0x60a3379d,
+    0x07ff345b, 0x7142b28a, 0x0432d862, 0x2f912704, 0xa7bbd609, 0x38ced234, 0x05f976ea, 0x481510f0,
+    0xeff27f82, 0x7e1fa33b, 0xe94b535d, 0x4a5f7880, 0xbdc84961, 0x9c188cf5, 0x06e42408, 0x342fec8e,
+    0xe88fdf3d, 0x75af6e62, 0xa11c3e24, 0x4a27ba1b, 0x8b07c59a, 0x4b85c14f, 0x67c0c4ec, 0x4990ce95,
+    0x3f5ab4ee, 0x5f6d1ede, 0xa2d5ec48, 0xbb1b664e, 0x19cfcd01, 0x5ae02333, 0x1f7ae8c3, 0x49a00d10,
+    0x8ec30fea, 0x93ef6f79, 0x47eda763, 0xef7d0583, 0x0d657b2b, 0x7f43b0f2, 0xbfaeb461, 0x4a295336,
+    0xc2fe0ebe, 0x6c5e7e7d, 0xa804d0bc, 0xc768da03, 0xfdce632c, 0xe47b2364, 0x5ed04b1e, 0xb942adf8,
+    0x79d354f5, 0xfdac6007, 0xd915486b, 0xd894d025, 0x4b50aa73, 0xb9e8c20a, 0x55597a19, 0x4c942eac,
+    0x2ed69516, 0x03a30641, 0xf001c5c0, 0x2f340084, 0x0e8b6acc, 0x09f6cc81, 0x98b6109f, 0x757fdd2c,
+    0x4d43a3d9, 0x69bba495, 0x409f4382, 0x09ea5ac6, 0xb8196a08, 0x4dbcc1ed, 0x8507c64b, 0x069ca6d8,
+    0x13a49f0c, 0xc4f7c5c4, 0xf3604914, 0x913e0b3e, 0x7ff62cb4, 0xef36c459, 0xedf24062, 0x9a39ec02,
+    0x68096afe, 0x970ed980, 0x4b9d3f1e, 0xa49ab3c0, 0xdc6aae4a, 0x6b991378, 0xd52107b4, 0x9d8410cb,
+    0xc1b990d9, 0xc2d32c9c, 0xbda11af3, 0x6fdcca36, 0x17ddfbe6, 0x69840232, 0xede5081a, 0x68599008,
+    0x96ca2ee9, 0xda41a6a3, 0x17b9c546, 0x4b7d5aca, 0x89de3e8d, 0xd3f255e5, 0x666aabf5, 0xe74752be,
+    0xe123c26f, 0x0ff54595, 0xd1478a9c, 0x3a54e783, 0x4c6c6b9e, 0xd8e7d061, 0x4cf1541a, 0x72e3ac52,
+    0xd7c1048d, 0x2f97c328, 0x30a2479d, 0xc65d0073, 0xae4c72a2, 0x3137921c, 0xecadab0b, 0x8d2313b2,
+    0x47f90fa2, 0xa4e04a37, 0x77962a3d, 0x92acb650, 0xcc353c4e, 0x01eef19e, 0x3a85357c, 0x5b6adf56,
+    0x09d99460, 0xe3849e01, 0x95503002, 0xa70da560, 0x9e83dc6a, 0x4b27bf47, 0xaf66d081, 0x07e8e4b4,
+    0x8e4bdc83, 0xbba67732, 0x0192abc0, 0x81009f19, 0x62828309, 0x3c597ad0, 0xe23d6dce, 0x57373de9,
+    0x6c47e1f8, 0xe028f087, 0xbdf670c9, 0x25604a38, 0x6045ccf6, 0xccc01cd5, 0xf5356276, 0xac2c4739,
+    0xbe85c00f, 0x6daad5e1, 0x3686c552, 0x26690a5d, 0x03810228, 0x5c98cc33, 0x8b1f8945, 0x9beb17f6,
+    0x6ecf6939, 0x2312ddcb, 0x51fd5c81, 0xe88b496d, 0x587e51f7, 0x8d29f9ed, 0x633b9436, 0x6955ee08,
+    0x8c083cde, 0xe848e910, 0xdb666662, 0xa2961f3d, 0x8b93273d, 0xceb193dd, 0x523397d0, 0xd20744a2,
+    0x1f828ffb, 0x98eeb6a9, 0x54b64c98, 0xe3c38ad8, 0x8dbd4bbb, 0xbf132816, 0xdab732e4, 0x2b5cb769,
+    0xb12fc302, 0x8217e525, 0x93321b45, 0xb3b0daaa, 0x2865b615, 0xbda12465, 0x9937e4d1, 0xd84a64a4,
+    0x61153c2f, 0x57491b11, 0xb8ca4e40, 0xe9174eeb, 0x878fbd0c, 0x5d0bd817, 0x977109bf, 0x0ed4c2e0,
+    0x868e0e72, 0xe6c4d9d7, 0x5857b244, 0x5c1d9de9, 0xaa0b51a2, 0x62f8333b, 0x07b58938, 0x86294ecc,
+    0x760dd5f7, 0x9b681454, 0x034dfa8e, 0x8541e1d1, 0x9188e547, 0x57deee5a, 0x2151e198, 0xe6bf4b3c,
+    0x8490935e, 0x1dc1d572, 0x3b2a3950, 0x39df2122, 0x6b611222, 0x5819a80e, 0xecb1f605, 0x2cafa723,
+    0x020297b1, 0xbe003476, 0x6bfab3d8, 0xb9e9dbbd, 0x9764f098, 0xaed2f79e, 0x99ca4266, 0x054d9e20,
+    0xe3e0cd59, 0x1fab7391, 0x17e7b662, 0xd1aa9322, 0x437cd2d4, 0x4029770d, 0xc6a7ec00, 0x1a13f241,
+    0x3530034b, 0x5983a2d1, 0x12d0ca61, 0xe36e3571, 0x36fec759, 0xc125b5c1, 0x1ba95826, 0xde32142f,
+    0x6b0783a3, 0x0ee4fbfe, 0x9b1cd3b9, 0x3c6ed232, 0xbcef41f6, 0x79293435, 0xea4a6acb, 0x048f84f6,
+    0x43ff0d4f, 0xd2215cd7, 0x73c279f5, 0xfd4bbc29, 0x1d5a7f5d, 0x5647d7a7, 0x9be36f85, 0xef23629c,
+    0xf4f2012b, 0x7d4d05aa, 0x0ad5e8cb, 0xb19fd933, 0x4c854374, 0x334d2565, 0x22555702, 0xea8458aa,
+    0xad11a085, 0x4bd8d3be, 0x5e168979, 0x08443922, 0x570ea789, 0xc9af0280, 0xd4f02000, 0xde164d9a,
+    0xb39a8828, 0x3fc0b4cb, 0x87a5b066, 0x8a8820b8, 0x958f516d, 0x74a38006, 0x92301e38, 0x8d33a416,
+    0x50e42fe3, 0xf22629f5, 0x9a504da9, 0x1f065d92, 0x1997b2a9, 0x66ce9708, 0x2cf120bb, 0x7b5b1859,
+    0x79529f80, 0x5e325272, 0x64442ed2, 0x6d971ca3, 0xb406eee4, 0xa76ee9c3, 0x338447f7, 0xcb76b867,
+    0x78437da4, 0xfb587693, 0xda94f446, 0x7ee24bf5, 0xcbdae564, 0x08cc4cc6, 0xb84cabdd, 0x49cbb9e0,
+    0xb9f8249c, 0xd4428c7c, 0x19c57436, 0x2ce82e21, 0xb52e55ea, 0x8e8c987b, 0x6ad078bf, 0x8d0a6f7e,
+    0x806894c5, 0xe523a199, 0xb4ceafe4, 0x7e5e5e86, 0x7bb65641, 0x2bd77043, 0x864dfcbc, 0x68a37856,
+    0x1b6774db, 0x87406cd6, 0x2e92b2bb, 0x2e9a1eaa, 0xe11f01c5, 0x7cbafc40, 0x2faea56b, 0x19abdf52,
+    0x65420398, 0xbdb4472a, 0x7e20a495, 0x80a375ed, 0xd801ba4b, 0x906141cd, 0x0b7c86fd, 0x7f695875,
+    0xaed726ec, 0xcb01f9d6, 0xf1f8b88c, 0xce694546, 0xb430c483, 0xe114c361, 0xaace8b01, 0x47a50839,
+    0xa97e95b7, 0x12220f80, 0x39da8c50, 0xf6e12626, 0xbbeee708, 0xa436a7b3, 0x1df96090, 0xe78a82c1,
+    0xf074ea5f, 0xf8b2445a, 0xf921f400, 0xec0232f5, 0xb24462fd, 0xa61de6e6, 0xabce5da0, 0x6d0b0b22,
+    0xa80ce3b0, 0xcc8f2d12, 0x243f0396, 0x4cf519c3, 0xef913dc0, 0xec52f81b, 0xcb235354, 0xfa03514c,
+    0x6eeba33f, 0x8bd47adf, 0x0d3c3bd1, 0xebe9a4b7, 0xba19ffa4, 0xa2c52bda, 0x17662c39, 0x224e6ba9,
+    0xb1fc6fce, 0xcba3e161, 0x777649e2, 0xa86c1e1e, 0xfa849a2d, 0x6a8aa8b4, 0x3a284647, 0xbcb905e7,
+    0x61bf9ccc, 0x984f1505, 0xa9fa4c44, 0xbf159a00, 0x89238092, 0xd575e67d, 0x1ddf6833, 0x49fdd781,
+    0x4e786ba3, 0xdf6befd2, 0xe00433b9, 0x44451ef1, 0x1a4ae44e, 0x30848e2c, 0x8a4db99c, 0x52a1772f,
+    0x03a245a3, 0xd57301fb, 0x0fb10697, 0x6de6e542, 0x9cd6ff92, 0xc2dea347, 0xefea5a34, 0x884f2ded,
+    0xa8b96d7a, 0xf18ea024, 0xf20fe2db, 0xbd07dcd1, 0x6972425b, 0x6f731ec7, 0x194c90a5, 0xabc21335,
+    0x7af3bc19, 0x646a1c4b, 0xb44cd652, 0xbe6265e9, 0x46ca198f, 0x8dbd0bc1, 0x3615c4b1, 0xd6be1c54,
+    0x458469f8, 0x4acffce0, 0x90b7a4f1, 0x4a7273bd, 0x36606d51, 0x2a10edf9, 0x8963fafe, 0x3ea18cbe,
+    0x749fb0ec, 0x7f968c39, 0xdfdde84d, 0xf081f63c, 0x78290015, 0xb437dc15, 0xcb404f52, 0xe8e0e06a,
+    0xb939215a, 0x9db8e7e5, 0x697d77b5, 0x49252b82, 0x8e6ab996, 0xc175ed70, 0x08a0b799, 0x934c799d,
+    0x3916bf91, 0xa4a06e1a, 0xf19f8f9d, 0xbcd27889, 0x59a1bdd0, 0x2c6fe209, 0xb0cd0945, 0x0061cf24,
+    0xbf9937f0, 0xb73ee3a7, 0xc0070e0a, 0x3072a7ab, 0xe34d7f22, 0x496bf7ad, 0x0c8e7a4b, 0x2080abeb,
+    0x4d977e51, 0x92dce883, 0x057f5b3f, 0x311a4029, 0xdc2ea6c9, 0x7393bf92, 0xb2477010, 0x67e06454,
+    0x46b7019f, 0x35da04de, 0xf94c2b14, 0x652f9a3c, 0x274365b4, 0x8d337011, 0x37a686ca, 0xc3d7f7fa,
+    0xd833cd96, 0xae3bc113, 0xc7522658, 0xd32d7e6e, 0x5d3bfd84, 0x2cd33f64, 0x687f27ee, 0xcfc6f6aa,
+    0x31ad9571, 0xf8419421, 0xb70634c3, 0xb9b0a9b0, 0x0917c8fa, 0x9c044cef, 0x9f8e1c5b, 0xb810a6df,
+    0xdefbc1c0, 0xe345db5a, 0x5b3d1632, 0xca07ace0, 0x868763a4, 0xa8413720, 0xfff3a9bb, 0x180c7eb5,
+    0xafffcf94, 0x0e2783cc, 0x95714f3f, 0x33240e03, 0x572a29f2, 0xc2d257f4, 0xb464cc0b, 0x76e3ab94,
+    0xf55e25cc, 0xa0e3c3e0, 0x4bb13ab1, 0xeaef6c9b, 0x73dc43b1, 0xe5f7c81d, 0xa20c24de, 0xabc9f678,
+    0x233aca07, 0x38405377, 0x99e95bfb, 0x68748f17, 0x0974644d, 0x05810653, 0xa8211567, 0x579bdde6,
+    0x1bf07987, 0x5e95d06e, 0xa6560eef, 0x1f15c883, 0xfbc88017, 0x5ef86b32, 0x650e6a20, 0xabd47577,
+    0x133cdc2b, 0xb0cf65c9, 0xfc9cd2fb, 0xee10afb7, 0x185c31e1, 0x755159f5, 0xfc2ff367, 0xd71e9ff7,
+    0x7e9987aa, 0xb313a047, 0x12c08895, 0x75599e93, 0xbe2e0163, 0x33381fd3, 0xa50103d1, 0x4c9e277d,
+    0x63588816, 0xf58a1fe9, 0x5386803a, 0x99b7a96b, 0x5de9dcd4, 0x97f0d675, 0x5c74dae9, 0xc9f6ea92,
+    0xb2a08db4, 0x7837c414, 0xf4a9a098, 0x532fd119, 0xc82597cb, 0xd9f4dc77, 0x1071c51c, 0x363efd9e,
+    0x5e041887, 0x842779ee, 0xde2955a2, 0x2d7d4a8c, 0x0166d984, 0x873b6298, 0x60043afe, 0x52d66fec,
+    0x7dc356db, 0x153006e7, 0x27ec44af, 0xadfa0ee9, 0x0e291bfa, 0x57985ffb, 0x25e83bb2, 0x44abf7a6,
+    0xf88e5e3b, 0x2fee5873, 0xf8e8f3b0, 0xefa24b74, 0x1ccffde6, 0x7f95d4df, 0x6124e5fb, 0xe638c568,
+    0x67ee87dd, 0xeb5951b3, 0xf529f972, 0x671d4124, 0x5360b8cf, 0x20333473, 0x564b58d7, 0xfcc30026,
+    0xf900b0c8, 0x8d4be87f, 0xa18c19e8, 0xeb08cd25, 0x406ac895, 0x19e84b9d, 0xd2d44858, 0xa148123d,
+    0xcb50d538, 0xe088a39b, 0x0f0d2064, 0x9f981fca, 0x802b11f1, 0xa62db8f8, 0x046f8958, 0x47f08da1,
+    0xd8ae1510, 0xc404737f, 0x10a8a143, 0xc8f939b2, 0x7d151739, 0xc6f05920, 0x464d2192, 0xa1e53a31,
+    0x034a0642, 0x7b352435, 0x8d2b670d, 0x0c614dbd, 0x4399e3cf, 0x07d9655a, 0xd48fe9d0, 0xe22432ac,
+    0xdea683b9, 0xf9d3abb2, 0x34752843, 0xcab23481, 0xb480642c, 0x25d90b5f, 0xbc288cfe, 0x70a11216,
+    0x15fb8654, 0xf729b269, 0x0551933c, 0xf4f40c86, 0xfdc25a08, 0x9939d7e5, 0xd74c9095, 0x1599dd32,
+    0x2420b5fa, 0xd7fe2729, 0xa6c97d1a, 0xb991d7ee, 0xb9e3b217, 0x298a3fda, 0xa50edba2, 0xa173f8cb,
+    0xe701c8b6, 0xcc4ada84, 0xd2f682dd, 0xde860af3, 0xe991bac0, 0x29d101a9, 0x74740a69, 0xaa240182,
+    0x5024f99b, 0x0e7301bf, 0x97f1fc50, 0xea30c5a6, 0x3ca6117c, 0x51696931, 0x4cfe05b9, 0x5d6269ed,
+    0x7ba9148d, 0x7594e69e, 0xc8de54a3, 0xfdfbfba7, 0x6895d97d, 0x64b6a8ba, 0x87f36826, 0x95dfa170,
+    0xb23ff4c0, 0xf47f7271, 0x34a2a324, 0xa1020cca, 0x44adf802, 0x1188ace3, 0xf90a21b4, 0x86651320,
+    0x00000000,
+    0xea036da7, 0x0f6865c8, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000604462909807314587353088 */
+  { 0x00000000,
+    0xd91f335f, 0x9449ec72, 0x99f8e05f, 0xa273c3ff, 0x6ae7b1b3, 0x838eab4d, 0xf868c15e, 0x25b01130,
+    0xfde6a259, 0x766dd9cf, 0xd2209d93, 0x3eb90cf3, 0xc784a4e2, 0x6a69a14a, 0xc09337f1, 0x814ecae2,
+    0x7005fb72, 0x1c7ea0fe, 0x933840d5, 0x9282488f, 0x2244c285, 0x586cb901, 0x32a03e60, 0xc8edd1a2,
+    0x1c47ab43, 0x7857ac65, 0x8ba04ff3, 0xadbf1508, 0x37a5adcc, 0x1bcdf3f9, 0xa7a69451, 0x0117aec7,
+    0xf4980436, 0xe6d3b48c, 0x5f53e4bf, 0xfe10bd5b, 0x6d143df0, 0xf627828e, 0x72244313, 0xba80441e,
+    0x561c849b, 0x32630423, 0x331aaf10, 0x8907cf74, 0xa2c029ca, 0xd38ff4a4, 0xccb1be9b, 0x5b38726f,
+    0x8cd023ee, 0x65df4995, 0x486a757a, 0x456d39b5, 0x932ccd0a, 0xf9922d11, 0x6a3e68ea, 0x58aa5c23,
+    0xc552afc1, 0xee72efd6, 0x5d96ec2c, 0x19c1796c, 0xa53ba452, 0x5698e902, 0x2f7bc270, 0x593c934b,
+    0x686d1fde, 0x408c44fc, 0xa825a1aa, 0x856b62dc, 0xef9d7099, 0x8eb8ceff, 0xcda173f2, 0x8f72d0ac,
+    0x7661aa62, 0x371cddb9, 0x3c47eb91, 0x5c95875c, 0x18f35870, 0x2820e8af, 0x7c27eda0, 0x2aaa75f3,
+    0xce13529a, 0x30f2e155, 0x9a5b7449, 0x041bdb84, 0x3fd1f9c3, 0xaf1e73de, 0x8da40384, 0x2049088b,
+    0xe013f246, 0x03c90eb1, 0x1d7775d1, 0x1e10c5e2, 0xbb3db677, 0xa555a98c, 0x11ef8f87, 0x983b0ae4,
+    0xe1be428c, 0x3f73ab8b, 0x826cea90, 0xc1f43105, 0xd5940c7a, 0xfff68ac0, 0xf77df921, 0x6d6f0fea,
+    0xbc7cbc8f, 0x27c7ad8e, 0xae76ab76, 0xb34560f2, 0x1bedf6d5, 0x4bcdb79f, 0x3d8b1a90, 0x2b26ab9f,
+    0x429156c6, 0x81a208a8, 0xedf37d42, 0x79a881ba, 0xff6ec4cf, 0x139d19bc, 0x37ac26a9, 0x49ebeda6,
+    0x662f8b24, 0x9673f260, 0x4e2d48fe, 0x9cdc0a58, 0x6d79c9db, 0x19ed9ef1, 0x86314b8e, 0xb7461456,
+    0x9db1b5fd, 0x0836ca61, 0x5adfbaf4, 0xc088a9b5, 0x5aa4e06a, 0xde56d1cf, 0x1b588990, 0xd7213d2d,
+    0x787fb8ce, 0x7bb38003, 0x16d2a01c, 0x7e55c1e3, 0x5425aab3, 0x93a93a06, 0x1aa15090, 0x1536dad8,
+    0x1380df8e, 0x4561c885, 0xd23b4a81, 0x1a3542d2, 0x210cc8e2, 0xe61cd977, 0x8b5f2e3f, 0xe71d0c1c,
+    0xce719626, 0x793991bd, 0x9c950807, 0x83158839, 0x35023e4e, 0xfb69c906, 0xe21bf9f9, 0xfb3a1e9d,
+    0x1cb37a45, 0xa35e0361, 0x88c167b7, 0xfc653f0e, 0xa10b49b6, 0x84f6e138, 0x9fab9c92, 0xa6311821,
+    0x00a74465, 0xc6289cc3, 0xf180f160, 0xfb4a9c42, 0x53390385, 0x69c4cc2c, 0xe1ad9c36, 0xafdd5770,
+    0x0741be46, 0x1eea8aad, 0xf4a1ea4b, 0xbb27819b, 0x6dd41afb, 0x636ffe00, 0xebc9385c, 0x208ae443,
+    0x3fcb6b61, 0x3e4fe203, 0x92d89103, 0x3c4b280b, 0x8897b4e9, 0xca9258c5, 0xfce0be96, 0x6e7bc7b0,
+    0x2f5a6ce5, 0xff3b9554, 0x3f711059, 0x26ff0b25, 0xc7a192da, 0xa622de19, 0x5ad5455c, 0xce00aba3,
+    0xec2b98fd, 0x69112a00, 0xbf72d4d1, 0x0a0f71a8, 0x12a68892, 0x3749c366, 0x5e5e752e, 0xc4d1ab5b,
+    0xb3cf2231, 0x7c0080a3, 0x70213df0, 0xa4e4c464, 0xf16b98fa, 0x998e27ff, 0xf2a6b568, 0x89afcbc4,
+    0x28fe7818, 0xdd0b2067, 0xa3059482, 0x238ca297, 0x28e9eeec, 0xfaa48457, 0x9c5b23df, 0xf9772e64,
+    0xf2581c2d, 0x4d68200d, 0x25eb0458, 0x8f530b35, 0x7d3aae89, 0x76da4d61, 0x8e6da59c, 0x6848e659,
+    0x24cbd0e7, 0x67d9ce8b, 0x2d5884e8, 0x996a47d4, 0xa368e2e7, 0x75acff44, 0xc0aa8ff2, 0x99ca63cb,
+    0xc76984fb, 0xa5771b09, 0xd6fe7c43, 0x9f355f14, 0x3418ca71, 0x3cb0cf75, 0xcb93be88, 0xfb8b43d8,
+    0xf6dfd122, 0x24aaaa19, 0xee2c7819, 0x2f2225dc, 0xf0a668df, 0xef5861db, 0xe57210ed, 0x9ccbd4d1,
+    0x866d35ac, 0xf2972bc3, 0x890c55fd, 0x0b42b7fe, 0x375032fb, 0xadfac1f1, 0x9a91eb1b, 0xee8df21d,
+    0x774db5f5, 0x05ca6c71, 0x21173dcc, 0xd275825f, 0x16660f70, 0xc71e6558, 0xbd8172ea, 0x16c11a06,
+    0x3bf01d57, 0x6787c770, 0x59c2bad4, 0x92fb3f42, 0x267f2ddd, 0xa7e65b38, 0x2f73a9b3, 0x1c175899,
+    0x4556e11c, 0xfc7800f0, 0xc1594734, 0x91c64dde, 0xe3c87075, 0x78e4d02f, 0xa04c8cc9, 0x6c089ebc,
+    0x0c6a9285, 0x75608d69, 0xcf275b7e, 0x75c525f6, 0x064aabd0, 0x3c67cfb6, 0xb009ccbc, 0xe3076ba8,
+    0xdbbabc15, 0x4a3b9852, 0xff8cd5d9, 0x51ccdf6a, 0x85ae6a21, 0xf72660d9, 0xd8f33192, 0xc2e697fe,
+    0xc1933214, 0x425fe4da, 0x28dde60a, 0x16c5012a, 0x49701ea8, 0x3728008c, 0x8cb9c05b, 0xd8c8010e,
+    0xdae8b8e6, 0x00df65aa, 0x3cd9d0d9, 0x538bd112, 0xe013bd0d, 0x7020768d, 0x1c1feeeb, 0x91ab4de1,
+    0xa0fef928, 0xc1c585ee, 0x7a7eae58, 0xbf6e2a1f, 0x3c591853, 0x0a022dbd, 0xeeec9121, 0x241ef3b2,
+    0x85ce6dd7, 0xb764085b, 0x43f8c661, 0x39573c4d, 0x458a24ff, 0x93d4db92, 0x5b8fb789, 0x43321d36,
+    0x17c0bebc, 0xad4b2a6c, 0x68a5e808, 0xb1806481, 0x0735cbd6, 0x41cac350, 0x9ac74fbd, 0x68e854d5,
+    0x8f96a535, 0x344dcb0d, 0xda4d190f, 0xc35fb0dd, 0xa5099995, 0xfa8d0ce3, 0x8008fcc5, 0x69c29921,
+    0x948e31d1, 0x804da745, 0x74b284e5, 0x2a7b6661, 0xabf5978e, 0x1304d6c7, 0xf04dae2d, 0x8d4657f3,
+    0x53351a20, 0xdb813620, 0x0f8e7c14, 0x84fe7b8b, 0x91b10c68, 0x3e5289f5, 0xa3ffbbf8, 0x36dfbe11,
+    0x686b7f3e, 0x4eba21d9, 0xceaa4782, 0x06a27dd0, 0xeea05e09, 0x0d89391e, 0x8ad275bc, 0xef1719cb,
+    0xc0437230, 0x8c1a5a52, 0x56e696b3, 0xc09294aa, 0xd35f54db, 0x8e804111, 0xeb9b3f2b, 0x0a6b74e3,
+    0x3ac05c1a, 0xea52fb0c, 0x44fb6ba0, 0x3ffc79d1, 0x9f6ab0ef, 0xf3b30ab2, 0x888b06ad, 0xb9626d09,
+    0xbb4d4773, 0xe475d053, 0xae81f414, 0xeee8620a, 0x5835d635, 0x5f19c9dc, 0x3ed773a8, 0x9b608d0e,
+    0xa5ade395, 0x1aa9df36, 0x1d1b1451, 0x353baf44, 0x9ab32231, 0x56eb5d6d, 0x4ab654d8, 0x5ecb9083,
+    0x5c3edbd6, 0x3913694e, 0x58c7ec79, 0x99879387, 0x92a37e82, 0x5aeba3cf, 0x7a4d8d79, 0x560754e7,
+    0x1590197c, 0x490b5a9e, 0xf88a5e9d, 0x451fd1c2, 0xa427800d, 0xc57fa216, 0x3436309b, 0x6a83c30e,
+    0x3b03778f, 0x545235a4, 0x606e0ba4, 0xd83247c5, 0xbdc7fccb, 0x54f217ce, 0xfca0a305, 0x1fdbd2e2,
+    0x9e275c46, 0x6abf28e1, 0x01638a71, 0x08e115fa, 0x190d1bc1, 0x9e32b2e3, 0xb82af1ae, 0x5e59d255,
+    0x04a1d972, 0xd315d038, 0xf9d75e96, 0x982c2edb, 0xa8c8d65f, 0xae110479, 0x1648ef78, 0x4d38c4d6,
+    0x935e8827, 0x57b95b39, 0x6eef879f, 0x1a4ef18a, 0xc898c39a, 0xa6717b24, 0x0c28856e, 0xad2f878b,
+    0xf44cf1b5, 0xee6c087b, 0x1b31c710, 0xcb364c35, 0x15d48962, 0x8a72a686, 0xe684f65a, 0x5dd46c5e,
+    0x5a590a3c, 0xb81a86d6, 0x2a4d014a, 0x78c49e7f, 0xccfe6985, 0xa50389c1, 0x2aa80ace, 0x21e482c1,
+    0x95d74faa, 0x534f21c4, 0xf7444193, 0x7dd0b7bd, 0xf5183ae1, 0xda15cec7, 0x32d0e751, 0x027c9ae4,
+    0x0876acee, 0x0b1e58f8, 0x49aafd3d, 0x782a91b2, 0xc35c6155, 0x5a4087a6, 0xae227fe4, 0x9a8fc279,
+    0xce413479, 0x75f3433a, 0x33411622, 0x2c0df46c, 0x171214e4, 0x4338cde5, 0xd6fcd1ed, 0xb3b24b15,
+    0x41ef36e2, 0x0b8bf0e4, 0xeb9ddee3, 0xce40c15b, 0x0e856523, 0x039164f5, 0x5badcd67, 0x0b4d4c8c,
+    0x896354b7, 0x8b201093, 0xa6c6a4b2, 0x66fe104b, 0x379ecf14, 0x58b4df6f, 0x6db85942, 0xd00d1e80,
+    0x5c989ffe, 0x80c3f5ff, 0x09bd3a12, 0x22515f99, 0xc1b6b51b, 0x6faf7169, 0x7b1dfc0e, 0xdc6586bb,
+    0x6f917fe1, 0x7917e205, 0x11ac9423, 0xc2b23cd6, 0x42ca7891, 0xc6cc563c, 0x6ae355ee, 0xd9b803bd,
+    0xcd7dacc6, 0x77c460cf, 0xbc927e48, 0x7b9d6f64, 0x16baf07d, 0x28cb1753, 0xdad75fb4, 0x49552a47,
+    0x24972103, 0x804d9e61, 0x46d8e7f6, 0x959cc6ce, 0x06a26f8c, 0xa5ce2b51, 0xfd0c2317, 0xb3351a83,
+    0xf7fd34f5, 0xf3030cf7, 0xbcd01358, 0x39b3f0a8, 0xa91d4db5, 0xccfeae31, 0x2f32c300, 0x258d5ea6,
+    0x44382749, 0x19646dfe, 0x54ce31c8, 0xb6b18970, 0x4f785903, 0x8410b475, 0xf835efbe, 0xa55baae0,
+    0x91513ca8, 0x090fc2d1, 0xa1a0bcfa, 0x82adeedb, 0xc6d6095d, 0xaf66a46e, 0xc4ff37a6, 0xf62dfa0d,
+    0xcd323e4f, 0xcfba5ca5, 0x59b1efa4, 0x4b8e00d7, 0xb8ecaf01, 0x9362c606, 0x4d187554, 0x6fa170cb,
+    0x30a9f461, 0xe59304d8, 0x747ea804, 0x11762249, 0x97b0f725, 0xbf2bc868, 0xdba41b04, 0xbf35c355,
+    0x71a38030, 0x126f3747, 0x3b58c870, 0xcd726e9a, 0xcd1c4caf, 0x754028ee, 0x16594491, 0x2277dce4,
+    0xdebe015f, 0x26447d0f, 0x602b64c8, 0x0a9d72e1, 0xdf870bb7, 0x9432bcfb, 0xac756054, 0xbc5b885c,
+    0x1bec7fe7, 0x52e61fe0, 0xf0b6aaac, 0x78b970e6, 0xfc90d36a, 0xf0f30157, 0x58f81d52, 0x62661998,
+    0xbf122f22, 0x8cde3b03, 0x92ededa0, 0x6f09f2ee, 0xee238b6e, 0xe4029603, 0x2a4dea76, 0x80e563dd,
+    0xba2864a0, 0x514604dd, 0x4349a970, 0x51e1745e, 0x2b424617, 0x4f338dcf, 0x524670b8, 0xac7e4d53,
+    0xa499af16, 0xd0f5b391, 0x2d20d73b, 0x2a1174cc, 0xc9ff53b1, 0x2364c5ea, 0xe7e399f7, 0x6a7c7f85,
+    0x4818cf2f, 0xfb06556e, 0xee59b395, 0xd822052e, 0xa83ebf69, 0x1ae4d1a1, 0x8d84dbdf, 0xd4749068,
+    0x0450a50c, 0xb124f61c, 0x8d4ee330, 0xfb74805a, 0x62ec714a, 0x8f74bb1e, 0x495e14d3, 0x3a6b7039,
+    0xd71738b7, 0xa270c89e, 0x851ff1cb, 0x6ddfb703, 0xf2259bc2, 0x9fa0358b, 0x71ab6dac, 0xa9abbc09,
+    0x094bc98a, 0x8cacd11b, 0xfbb6fb51, 0x9d63ad66, 0x3a8546c7, 0xfbf71d64, 0x3075583f, 0x681e3a98,
+    0x09a6ad49, 0x9337b1e6, 0xa4aa456b, 0xd379ba54, 0x0d710cbe, 0xafa084da, 0x9415900e, 0xbf535471,
+    0xe6827d3d, 0x69f5f5fd, 0xc7b37921, 0x6b77aa1d, 0x84aa60f6, 0x8306e6d3, 0xa2b23712, 0x52eb04f7,
+    0xd249acc3, 0xcebdb0c4, 0x3d4bbaf2, 0xd7f0a955, 0xb0510561, 0x24b36c70, 0xc3eaf154, 0x319fa5ca,
+    0xad8e0fa2, 0xed32810e, 0xb4fe5719, 0x7672991f, 0x0d74ea96, 0x5a8c85ce, 0x96c699b8, 0x8bcb4dee,
+    0x9f572fd5, 0x9f220e2d, 0x5d4f49f3, 0x8edaca9f, 0x96cc5c89, 0x399f976a, 0xc25d9c4c, 0x915f2157,
+    0xa05acbbe, 0x1cac8c37, 0x3989dc1c, 0x523c4be9, 0x39bdbbff, 0xbce6696b, 0x1987a25e, 0xf8aa9926,
+    0x5898d29b, 0x561886fd, 0x51e149a2, 0x95a2b377, 0xedbbb59c, 0xa03364d8, 0x4a8f78ff, 0x14b5aa02,
+    0x8a934374, 0x3c184c77, 0x50296e0b, 0x0dc51e82, 0xdb38f5ae, 0x8cf019a8, 0x5ceb8b3e, 0x753fac0c,
+    0x3ac61e6d, 0xde19f173, 0x0ac0c081, 0x49d95dea, 0x1c36d5e5, 0x48f8cee4, 0xe657efcb, 0x3028c8b5,
+    0x91506861, 0x51de81c3, 0xbf7b6257, 0x3c496b12, 0x96b30a04, 0x44ea0e1b, 0x89e53d6a, 0xe9aa40c3,
+    0x7ff79e55, 0xf3108897, 0x79282666, 0xa430c6d4, 0xd9a48fff, 0xdb2b6e1a, 0xec4d39aa, 0x8b3b8c7d,
+    0xc1ba1304, 0xe4e37e60, 0x44f65c4c, 0x7432103c, 0x5a493b7e, 0xf7945c6b, 0x4bb95ecb, 0x22b5de2b,
+    0xc3eedace, 0xf6b33e3e, 0xdfb5f972, 0xa1db9421, 0xd06e0896, 0xe5d44f76, 0xac053e8c, 0x2761e39c,
+    0xfcc6ba98, 0x71600594, 0x7cff983b, 0xdaa9b280, 0xe8d22e62, 0x5527c05a, 0x9a167c93, 0x1a6a8ccc,
+    0x1a5eda4d, 0x872e3bd3, 0x7e08df4f, 0x70ed39be, 0xc8abef23, 0x448cff07, 0x09ea0829, 0xaeaf8b7a,
+    0xe527acf1, 0xb8f7b9aa, 0x75eb48dc, 0xa894d4f5, 0x3297e57a, 0x49209472, 0x3029abe5, 0x42acb13e,
+    0xf6ab9aa8, 0x522b72a7, 0x18e7e672, 0x27fed45d, 0x9abc8ac0, 0xbcde1924, 0xd594f1eb, 0xf64116ed,
+    0x9c136e62, 0x97b3a24c, 0x5cbe1327, 0x021f781f, 0x86a29fc0, 0x170d1e70, 0x06d8ebef, 0x1424a4b5,
+    0xce86685e, 0x816150b3, 0x045b8208, 0x4cc1168e, 0x9ff66b48, 0x234045cf, 0x60da4e6d, 0x80a4d1d8,
+    0x06937c95, 0x121d5589, 0x96d510e8, 0xeb002e65, 0xee357199, 0xbf3cbf51, 0xd90f3c10, 0x7eafdf24,
+    0x5110afb1, 0x3fa2bff2, 0x410b647d, 0x493c4f18, 0xcc3912fa, 0x581d1e0e, 0x92984935, 0xee540e67,
+    0x5d4c239c, 0x42a5eb2b, 0x68b1b73e, 0x44452d35, 0x45c97c46, 0xd7a559ee, 0x2430e27e, 0x6b51b4f3,
+    0x6845cb77, 0x79f971bf, 0xf1db3807, 0x64c60890, 0xf468bad1, 0xa4193b9e, 0x051d3510, 0xddf92c27,
+    0x21320561, 0xee2eb992, 0x1cd72ba7, 0xaa49a3a0, 0x420f4188, 0x9f6b04df, 0x1ff1541d, 0x2c992bb4,
+    0x626e18e6, 0xede9b953, 0x0780eb61, 0xff396c8a, 0xd2a0c51e, 0x3c708b21, 0xa8b5f0a0, 0x7f0ca91d,
+    0xaa46c4a3, 0x821cb8bb, 0x4e243354, 0x0ca3bd79, 0x38371cf0, 0x1ef21ae0, 0x1a67a1d3, 0xd15bb581,
+    0xd77a7561, 0x5748c671, 0x78259c78, 0xa311f232, 0xcc2d5df9, 0xb634cffa, 0x1ec687f2, 0x57ac75f0,
+    0x75e87230, 0x783b2bbe, 0x64f4d22c, 0x8f28889d, 0xbd69b18c, 0x28d9ee4c, 0x56344b20, 0xbdf2bc5c,
+    0xf1036fd2, 0xc030ea7a, 0xd3a7da9c, 0x4c72ae0d, 0xcada721d, 0x7d2345f1, 0x6c166154, 0x65fc13ab,
+    0x17ff5556, 0xf2ead2ec, 0xc642e60f, 0xe0c80b4c, 0x8408c982, 0x82ec56de, 0xa49ec387, 0xe6056316,
+    0x4e57f584, 0x07bf6efd, 0x5f1f41f9, 0xb5371c2b, 0x4bbe494e, 0x6050ceb2, 0x1d782a47, 0xdf28b321,
+    0x61c91bb5, 0xe837382f, 0xc670bbfb, 0xbfe6cf6d, 0x78a22d4f, 0x31113e66, 0x63c8248b, 0x726fc96b,
+    0x06fcd873, 0xb3b99ac0, 0x3f5da8ee, 0xc3006d52, 0x1ea55f6f, 0x1f45a614, 0x13706294, 0x85fb343a,
+    0x62a3bf85, 0xd48e0a5b, 0xb215d48e, 0x01166554, 0x4326e404, 0xa7730d71, 0x95110fd5, 0xa5abcb98,
+    0x071dd7ef, 0x7684bdd5, 0x65d0486b, 0xe363e9db, 0x9350fe3a, 0x2c62158e, 0x05ddaf0e, 0xe577f1e4,
+    0x112c923e, 0xeebc5a9e, 0x421f2f26, 0x01346cce, 0x479ebec7, 0x5930ff0e, 0x8641df0c, 0x4208e788,
+    0x3d60228f, 0xed96b698, 0xa6aae189, 0x7daaae27, 0xb1888d78, 0xa50c72eb, 0x6b89bac9, 0xa82b4528,
+    0x41cebda6, 0xe77cb6d0, 0xfcaa620e, 0xce3f3ab3, 0x90f421a9, 0x73829b9a, 0xfd4a38d1, 0x7304f5d0,
+    0xf3fc9099, 0x56fbfba9, 0x79b9b542, 0x7b57a021, 0x74dbf380, 0xf26fb1fe, 0xaba4b514, 0xa03c9bf0,
+    0x8d394ab2, 0xfc2b2b14, 0xa743ee38, 0xd945e3d6, 0x07476f69, 0xfb1a4b4c, 0x226f8cc0, 0xbee76b4a,
+    0x173cc972, 0x085435d2, 0x11f04a86, 0xbac5d03b, 0x14b3af76, 0x8ab73c8d, 0x4a86fed1, 0x99a3b345,
+    0x49d6ac48, 0x90c57829, 0xbb8a9368, 0x4ce1405e, 0xe465bb90, 0x284716be, 0xf61b4100, 0x654d387d,
+    0x934d9923, 0x8e43ddeb, 0x7f9f8609, 0x410b5996, 0xaf22a104, 0x6081df52, 0xa285df2e, 0x83288fc4,
+    0x00000000,
+    0x7501b6d3, 0x87b432e4, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000302231454903657293676544 */
+  { 0x00000000,
+    0xd8766b19, 0x70eaed92, 0x969d1d4b, 0xf039dd77, 0xbbc7ce6c, 0x993b909c, 0x75b954e6, 0x266062ae,
+    0xeaa2fa03, 0x5ceeaf4f, 0x5514793c, 0x2eab7b41, 0x1c8c351b, 0xa88a188a, 0x17fb0531, 0x5cbaa6e1,
+    0xacde5478, 0xafd09727, 0x71899545, 0x8fabd4e5, 0x7a7dd445, 0x7dfb82ae, 0xe0b66d85, 0x3a258ff8,
+    0x1b6b821c, 0x532eb44e, 0xee8da786, 0x952a525f, 0xa70d7019, 0x1fbf9bf0, 0x8395d054, 0x41e78a18,
+    0x433e86ce, 0x587de078, 0x5f0f424d, 0x2911ab8f, 0x929ab09a, 0x14e04775, 0x5821ec53, 0xd4ab252b,
+    0x5642e3d5, 0x68d7d3ff, 0x5949c2f5, 0x13baf1ae, 0xb0391c15, 0x5cf5918d, 0x57494fd0, 0xc14b0e7d,
+    0x1aacd1e3, 0xf755e87f, 0x13ea22d7, 0xbec0ef67, 0xe52788c9, 0xa31524b8, 0xc71d9f25, 0x59f336d7,
+    0x15d2debc, 0xbe27a7dd, 0xbfb6d716, 0x2df47259, 0x0aca7781, 0x6f3db757, 0x2f0b3bc7, 0xd7fcf332,
+    0xc4e4f375, 0x55ae7a58, 0x760cb5dc, 0x215e4dc9, 0x16336db3, 0xa2545e4c, 0xd16310e4, 0xcf2ef644,
+    0x5a939fd8, 0x6de90d84, 0x779c7db5, 0x0b4106f7, 0xb9c240b4, 0xb1248444, 0xc13de3dd, 0x01f35a6f,
+    0x580fb0c6, 0xfebe703a, 0x38c04144, 0x8a6d7929, 0x76a66a40, 0x0b66782b, 0x2c6b1e61, 0xc0c4def1,
+    0x33068219, 0xcd267780, 0x61eb1cd5, 0x0f117cc6, 0xfb31de62, 0x4b90c903, 0x4d7ac227, 0xbb696018,
+    0xcb93509e, 0x4d660632, 0x2c41cdcc, 0x6e392a6b, 0x04b26166, 0x537e66d7, 0xde7f3e6c, 0xdefe974e,
+    0x29cb872c, 0xd2daf1cf, 0xd7366166, 0x3d8aeade, 0x625966c3, 0x666680e5, 0x4dbab732, 0x77d653bd,
+    0x05e4288b, 0x0772a8df, 0xbf00783c, 0x4e36e60f, 0x9062a999, 0xa857c511, 0xe3b7e09e, 0x5b23c498,
+    0xc4bab9ef, 0xec9ed499, 0x4cd9b11d, 0xf692e41b, 0x9908a3ce, 0x343daf69, 0x374549ac, 0xd2e06693,
+    0x889c01e3, 0x9197502a, 0x714a6f71, 0x13f6d240, 0x0b7baa14, 0x6a8ec71a, 0xa93567a1, 0x9fdd9a9f,
+    0x22740ace, 0xf5faf42b, 0x7523fd39, 0x3178cb68, 0x61fc223c, 0xbbf2570c, 0xb987c7ee, 0xd71d67af,
+    0x4cbf5119, 0x3e823ca5, 0x6ffb1862, 0xc6280db8, 0x378fd1f6, 0x1674dfa8, 0x37d741c0, 0x97c4de1b,
+    0x8c25c095, 0x0d0b846d, 0x91602120, 0x8a275f05, 0x9b3a67f9, 0x03e78d24, 0x14705d01, 0xe6d33129,
+    0x1f60ed64, 0x2f7ba115, 0x9b55891d, 0xccdb9b83, 0x85207c55, 0x9164d9f9, 0xc9ba0382, 0x47be14f5,
+    0x3ba592a4, 0xf1227604, 0xdd922bd3, 0x5a77b820, 0xa8b27b0f, 0x68eb9b01, 0x788314e9, 0x36da4b99,
+    0x128faa0f, 0x6f102dd4, 0x16cf1efb, 0x414c0178, 0x823e4e92, 0xa57c18ee, 0xc3ab53da, 0x97b99ea9,
+    0xc1e11465, 0x45915393, 0xd50c7709, 0xe6934141, 0x5da104c5, 0x1c57aadd, 0x236b0d31, 0x5921458c,
+    0x0fcae6f0, 0x3b31f02b, 0x3d19ca39, 0x1cb9f1d8, 0xb6af7808, 0x61f5baff, 0x48f4ff64, 0x14c2e945,
+    0xffb08bf5, 0xb43b4730, 0x3c889e3b, 0xb81dc909, 0x37f845b7, 0x64801798, 0x2386830b, 0x031aefb5,
+    0xa1c1b422, 0xbaedca3a, 0x28c47743, 0xa0300f5e, 0x43ad745e, 0xe01dc265, 0x6beb6cdf, 0x336131d7,
+    0x08c52a73, 0x1c46e665, 0xd95c8223, 0xf91c9149, 0x899cce62, 0xf197529b, 0x6dba31c7, 0xe0c9ebb5,
+    0x4c614132, 0x027ca3f3, 0xb2a8f983, 0xa6f8d1c0, 0x583dd518, 0x7719bb35, 0xc6a94520, 0x904c6a69,
+    0x5706bf2e, 0xe4b1a916, 0x4a2692f6, 0x9e927e86, 0x09de1109, 0x086cdb84, 0x25b8b7ee, 0x19eb2605,
+    0x7d584c7e, 0xe0559f6d, 0xea08277d, 0xd1c9ea2d, 0x42846ec0, 0x6900398d, 0x30903fbf, 0xe1336158,
+    0xa7c14d63, 0x2a2d3550, 0x5e4828d9, 0x8000dad9, 0xc9999d3d, 0xc3356535, 0x7612241e, 0x9976762a,
+    0x89814602, 0xc44a85fd, 0x8296d585, 0x51d127d7, 0x699428d1, 0x8aeb725b, 0xa68ec82c, 0x6e5c4b93,
+    0x3ba995f7, 0x771bddb5, 0x9557a876, 0xcd8462d8, 0x7c2a88d3, 0xd7ac5af0, 0xf4d096e8, 0xff233b3b,
+    0x3fb988d3, 0xb8bf3f10, 0xb6efd358, 0x1b2b6abe, 0x4b687391, 0x13a9448f, 0xef44ca47, 0x4eeb373c,
+    0x4470b52a, 0x455f8151, 0x242b01f1, 0x1bc324b9, 0x1a5b64c4, 0x8d3e82c6, 0x794c8281, 0x3c7d8e4f,
+    0xbfcb2150, 0xc5e5847b, 0xdab7ac7c, 0xb20723ef, 0x8f7a2efc, 0xebd47181, 0x3efa11df, 0xa47abc0b,
+    0xf44316a7, 0x9ff0c525, 0x5becff72, 0xd630aed4, 0x66139393, 0x067597c1, 0xf85a4eea, 0x5241dcc3,
+    0x442fe025, 0xd45f5e08, 0x8f60771a, 0x89cbce63, 0x344adf59, 0xcebe64a3, 0xcdc6b56c, 0x0b0f4d3d,
+    0x5fb31be3, 0x18883d12, 0x519fd2c2, 0x3bb03895, 0x282f829a, 0x8c6e3713, 0xa1883a90, 0xbdc52314,
+    0x231b8a6d, 0x8c51fdb5, 0x43248f92, 0x7cfcfde4, 0x3e403b5b, 0x3d7819f0, 0x0709918e, 0x79a1c139,
+    0xd60192d1, 0x2980fe00, 0x97e4e3df, 0xa2c7257a, 0x2436e9be, 0xf1ee4f74, 0xfce1c4df, 0x206f6dd9,
+    0x17fee1a2, 0x45df78c0, 0x3d2a821d, 0x32d5d075, 0x8e17857d, 0x41af6321, 0xc4f783fe, 0xb3fc0901,
+    0x1f73ab92, 0x61081ccc, 0xa54c701a, 0x7c68e8ea, 0x37bfda9b, 0x10ff2aa2, 0x4ab6a722, 0x6bc338d5,
+    0x9bd7756b, 0xba3a2869, 0x89865d60, 0x0e2119b6, 0x375b3450, 0x2c5f3aef, 0xe83abba6, 0x9e8604f7,
+    0x9c24e2e3, 0x794cc56a, 0xc8e56fb9, 0x887a7e11, 0xcffcef7f, 0x15592dcc, 0x36c64c7f, 0x3af6b3ac,
+    0x73792235, 0x464284cf, 0xaa2f4518, 0x938bd41f, 0x43c6e2ee, 0x3a1ac57e, 0x88251cc4, 0x7514017d,
+    0xfc351aae, 0x85a681c3, 0x72b8dd2f, 0x16c40bda, 0x9914fc0d, 0xa5b4dd74, 0x1e708d3a, 0xe4736c88,
+    0xe6f07a75, 0xd7960c81, 0x37df5491, 0xa92f1441, 0x1b86e81f, 0xdf64c4b9, 0x28a1d868, 0x3111dfd1,
+    0x547ca655, 0xad27962a, 0x47f144af, 0x5b42e192, 0x8b4a6e8b, 0xa46dfe87, 0x46fcb84f, 0xe4c439a9,
+    0xf9b2067d, 0xfa82c4e1, 0x7dcf7f75, 0x3a284b64, 0x2397037d, 0x5356534c, 0xdeb9f6e2, 0xfe4b6169,
+    0x7c4ac685, 0x51b138f2, 0xe5a9dbe7, 0x23d8bddc, 0x46c1b8c4, 0x9ceb1499, 0xa6ad6624, 0xa6b8c739,
+    0x4d8cde42, 0x1ff91ab4, 0xbd39ac1d, 0xc2a3cb4a, 0xa0335229, 0x09f97f2c, 0x4a00473c, 0xe047732b,
+    0xe86e367c, 0x4a373791, 0x2835f76a, 0x51f2f768, 0x3b6b0764, 0x098222cc, 0x0ee3f650, 0x7e65909e,
+    0x2fa120ef, 0x98979264, 0x75cd6129, 0x68f895ae, 0xd0e045b7, 0x205a8801, 0xb97fb98b, 0xfb010f06,
+    0x511a1b4a, 0x2ea6c549, 0xf46a3bbc, 0x3e336131, 0x90967d9a, 0x765f7c24, 0xa2b867ed, 0x5930dda2,
+    0xbf862032, 0xff54518a, 0x6b0ea150, 0x18525537, 0xff409300, 0x9d4341c9, 0x38f921fa, 0x38cbb11b,
+    0x861fcd21, 0x45b5264c, 0x94fd7947, 0xaabb0e5b, 0xdb8af120, 0x9c7f5470, 0x002ade69, 0x9f8d508a,
+    0x6de6f85b, 0x35b5a825, 0x8b720049, 0x9954ffcc, 0x5da6a3a5, 0xdde1773d, 0x55e69bd7, 0x8ab825c7,
+    0xf30ad6a7, 0xc1fac6c8, 0xefced585, 0xcf48d736, 0xfe7948d0, 0x28203c54, 0xd5ba13a9, 0xbc51fd83,
+    0xf7dea3c8, 0x755614d1, 0xb7a54525, 0x2f749e58, 0x4e90ae1d, 0x77590953, 0x32050e71, 0x24337319,
+    0xebc931d6, 0xbf1982ab, 0x952b838f, 0x7b18c037, 0x5f637c1f, 0x3f8719e9, 0x9c08e9d4, 0x2496d502,
+    0x90b1984c, 0xf9fafac9, 0xfdfe28a1, 0x1d28393e, 0x89d46f54, 0x97f77d61, 0x144807d4, 0xc04005c4,
+    0xc56ff2d5, 0x8128f2b0, 0xd3510271, 0x509f05fe, 0x22ec2ab7, 0x59b7900a, 0xaa2c7c94, 0xa58c8121,
+    0xc510e1e1, 0xc34bc6b0, 0x270ec9a4, 0x63f88a91, 0xc99bfd45, 0xdb4a5dec, 0x1c4a1c1c, 0xa32ab90d,
+    0xca4996cb, 0x34e696cf, 0x9a513764, 0x59be7958, 0xbbe9a83d, 0x9097822a, 0xa34c23ba, 0x5545f1c9,
+    0x3249f668, 0x079e5641, 0xe33a0eb7, 0xd0a70e79, 0x1747af91, 0xa9faf7fe, 0x63840ccd, 0xe11b5498,
+    0xcfac2e83, 0x099ea208, 0xff13e2a0, 0xc4fd3f85, 0xc2f430c2, 0x7d1a192c, 0xdd938cbd, 0x8c7e10d3,
+    0x763318d0, 0xc01acbe0, 0x90eaf1f3, 0x2c105fac, 0x75b187cf, 0x5d5aa64a, 0x4f941931, 0x3dfb37a5,
+    0xa164e954, 0x61a777e0, 0xc02bb9a3, 0x53bf6c0b, 0xdf530291, 0xe0e0481b, 0xcb380c94, 0x143cdc13,
+    0x8fba2e30, 0x7e34f271, 0xa5371056, 0xb883becf, 0x1c3c399e, 0x999f7763, 0x1de97629, 0x01f235ba,
+    0x370bfb3f, 0x28da7ff8, 0xadcb3de1, 0x7010b1b3, 0x3cc1291f, 0x7ce2d6ef, 0xb2628209, 0xdb9ae839,
+    0xb58bed8f, 0xd0397337, 0xb4e37b6e, 0xaf841225, 0x31e32ef0, 0x2b550fd2, 0xc482f4bc, 0xb4c4c621,
+    0x6f60cd9f, 0xb0618cb0, 0x1113aa65, 0x501bc11c, 0x995836a9, 0xd9e1d398, 0xd3ecbb81, 0x99f8fc52,
+    0xe2750ddb, 0xf1f535a9, 0x4d8ee41b, 0xb696476f, 0xe77d5db7, 0x00a20d25, 0xcb24eecf, 0xe00a8a06,
+    0x6bb06d58, 0x20d89848, 0x3c603f0b, 0x2b3f02a2, 0xb8675192, 0x76db08bb, 0x073ee534, 0xfe576fe1,
+    0x250e55dd, 0x6c35d744, 0x8c5fc4ee, 0x87cf5c87, 0xf8f6866a, 0x85c81ab4, 0x9a970a88, 0x60672110,
+    0x571504cf, 0xf1840966, 0x01a71119, 0xbfc4dd37, 0xf445a589, 0xe0f6ae8c, 0xd08b6e42, 0x5ffd37b2,
+    0x9456bf33, 0x5dc4c67c, 0x192b6699, 0xb05a91c9, 0xeef806a0, 0x45fe22d8, 0xb0a9cfd3, 0x04b5ecd3,
+    0xc57eeded, 0x08c3bfc5, 0x0ce279b2, 0x230711de, 0x567f37ca, 0x97f1e189, 0xf60c2a0e, 0xda9dd71b,
+    0x3149f093, 0x1b2b500a, 0xf55381f2, 0x303a66cb, 0x695dc108, 0x820ba13b, 0x09e642b0, 0xa82fee0d,
+    0xb59ceb1f, 0x9289d01d, 0xd83aafc4, 0x77236160, 0x362d67bb, 0xc37c3b93, 0xb52403a7, 0xf89da4f3,
+    0x605e5c5c, 0x94be2700, 0xb94e3198, 0x7b8c0006, 0x2241b71b, 0x6993a49b, 0xdb1e1c59, 0x182251f4,
+    0x33c5e3fc, 0xf5bf89c0, 0x47d485da, 0x94c86b42, 0xd2d3809c, 0x14d556f5, 0x4f07b23b, 0x52079e29,
+    0xc2031a7c, 0xf314aca2, 0x833db972, 0xddd821f2, 0x195bb67b, 0xa4ce24cf, 0x0ee795f8, 0xa7198fa6,
+    0x573454b7, 0x5d904178, 0xbe5d0bfc, 0xc07e4f4f, 0xe1e40488, 0x6f08b736, 0x8ed544ff, 0x3d4e0e89,
+    0x1415294c, 0x048c04a1, 0x8221be4d, 0x417d1fce, 0x02dd0f1d, 0xf730aca6, 0xbbad3068, 0xf5530677,
+    0x1501ad28, 0x6d9a777c, 0x11deeccd, 0x53b75d72, 0x6321b08a, 0x6a058b8a, 0xbdbcde43, 0xca5f3cfc,
+    0x28af37b2, 0x804576f1, 0xd80396dc, 0x7eb2f34c, 0xf92f3f2a, 0xf23b8609, 0xd38b49ae, 0x9c363794,
+    0x1ec03590, 0xe6abaad8, 0x02487129, 0x9ca74fd9, 0x56d61412, 0x67a05b62, 0xa145808f, 0x146afcec,
+    0x6d77d2e6, 0x995f5498, 0xde0fa31c, 0x05ae6d90, 0x188aab94, 0x351adc0f, 0x6060ddd8, 0x61c24fb0,
+    0xbc37b2b1, 0x43eb9fdd, 0x6cd94924, 0x014b3f3c, 0xead304b4, 0xd0601eb7, 0xe3138802, 0xd6f8d369,
+    0x6e35dc96, 0x610d5bec, 0x06521abd, 0xba75ba51, 0x44474074, 0x2821a2fe, 0xe266ff3e, 0xa7374971,
+    0xa529ba14, 0xb228fc20, 0x413f14b3, 0xb2b41340, 0x277550a3, 0x7e739842, 0x3779a6c3, 0x1cc76e2a,
+    0x714c8172, 0xdb0d1a04, 0xae0a1267, 0x7db57a7e, 0x795498d9, 0xb1fcd0da, 0x0bafc9d3, 0xaf55962a,
+    0x07f68d1e, 0xe9fb1a40, 0x2ae27b96, 0xbb4e462c, 0x4e312b2c, 0x112c4a97, 0x96757281, 0x2f99d291,
+    0xfa116f66, 0x673aecc9, 0x7d191409, 0x41052925, 0x81d467df, 0x65180ba8, 0x02758baa, 0x61a3fe13,
+    0x4d37a047, 0xba758301, 0x51656943, 0xcd8a0259, 0x20acbe26, 0xc78ec6c9, 0x3da41ab9, 0x3ce1a2e9,
+    0x34a68c55, 0x42c4d913, 0x39cd5db0, 0x7e820274, 0xf6d14b67, 0x9f7d3297, 0xbc4d2f86, 0xfa02752e,
+    0x73cbab16, 0x4c1151a3, 0x51f82ff1, 0x49784e10, 0xedf8594e, 0xb0abb238, 0x3c4e0b80, 0x3b16698a,
+    0x9adec630, 0x9e71dce8, 0x2ccf3f64, 0xada06a1e, 0x49f28f57, 0x7344a830, 0xa4bf773b, 0xa861835a,
+    0x3670608d, 0xc664cccb, 0xc710fe27, 0x3b56d4a2, 0xf6cce7c1, 0x2bdf325f, 0xac8bd7bb, 0xb235d799,
+    0x96c40f17, 0x8de1b2d0, 0x18d97f07, 0x948f531b, 0x256f8997, 0x0cae1d01, 0xbd8754a0, 0x683b3fde,
+    0xac6aab66, 0x20a9e9c1, 0xc93998eb, 0xf6f8f841, 0x2da2d1d4, 0x6f1fc84e, 0x83e7ac20, 0xfc90ba1b,
+    0x67e8c0ee, 0x4faf4e82, 0x78519f9f, 0x0a2e3bbd, 0x651c3d13, 0x19da79d2, 0xbd1a0392, 0xc1f5e960,
+    0xfe2f2557, 0xe552d8ca, 0x0d7e95ec, 0xbcf795b8, 0xd3c8bfbe, 0x618afc32, 0xf0f5592a, 0x667eabb6,
+    0x985cf092, 0xb0251478, 0xf60501dd, 0x6b402db0, 0x4f266a51, 0x4b391f0d, 0xfe0a6022, 0x2333aa3e,
+    0xcb911144, 0x77b573eb, 0xa1838635, 0xdf4ee53d, 0x1d6154dc, 0x3d6c75e9, 0x431ecdcb, 0xd5554e8f,
+    0x55725eda, 0xf6ee13b6, 0xc6cad896, 0x3368f1cf, 0x9327c906, 0x634bbf84, 0x10562309, 0x8ee17daf,
+    0x2a489416, 0x904efbcd, 0x92f9092b, 0x3cfd944b, 0x65a31c6d, 0xa7ec3ee3, 0x58604525, 0x13d9f705,
+    0x75b40e1e, 0x2d233bae, 0x0e5080d9, 0xc59077d8, 0xf6a72886, 0x699b5c7e, 0x6bfd2b9f, 0x4318cf58,
+    0xa87e7869, 0x21138451, 0x1d76460b, 0xff755136, 0x4bdac78c, 0xebcac82b, 0x9700a02e, 0x65d8402e,
+    0x632f2198, 0x1ce9f09b, 0x2a2d7e6a, 0x83a4300a, 0xec5dcb43, 0xf605fd71, 0xe2980a13, 0x9e15005a,
+    0x091a0d6c, 0x96e3d119, 0x3461e38f, 0x2215385c, 0xb15a2e2f, 0xd2724e58, 0x924fd342, 0x5a6c0645,
+    0x69fecc70, 0x2d3be3f9, 0x162924b5, 0xaa9c94c4, 0xbaeb5362, 0xac202438, 0xe0114afc, 0xc515b6d0,
+    0xc8f7706f, 0xf9d9de41, 0x89558c3e, 0xf5257d83, 0x92f264de, 0x244bee2e, 0x58bc961d, 0xd4fe373b,
+    0x57c4ce51, 0x1c2f572b, 0x1790d70c, 0xcccff7a2, 0xe5c83ef0, 0xb70827b1, 0xe93749d7, 0xdbc2a8e3,
+    0x19345f5a, 0x695a2f6c, 0xf471eb6c, 0x4c5f0791, 0x15d2cb9d, 0x22665832, 0xd8ca40b8, 0x0e6ae702,
+    0x10e2a9a2, 0x72cbc503, 0xdc9af9cb, 0x9d72f5cb, 0xa37dd27c, 0x26c2bf46, 0x02babc95, 0xb8b9927a,
+    0xa3fb5bda, 0x3f02e761, 0xbd332f62, 0xc4f5ba7c, 0xbe90e266, 0xd3cc28eb, 0xa61b8753, 0xd257a615,
+    0xebdef2a8, 0x20dfaa0a, 0x77e359c0, 0x441c24b0, 0xbd57940f, 0x3545f1b9, 0xd95cbaba, 0x5229faf5,
+    0xdbbdcd34, 0x2e999d77, 0x0f60e354, 0x64c19a73, 0xa469eb09, 0x66a68fcd, 0xfe65e595, 0xf57553dd,
+    0x376a7bf6, 0xfa7139c1, 0x9b6a29eb, 0x20f21188, 0x5ff44d6f, 0xe711a714, 0xa5b17b1a, 0x583ae2d7,
+    0x35b43706, 0x13168d01, 0xd5687639, 0x8b20fd4e, 0x6f562a26, 0xe13882b6, 0x4d7d5017, 0xe27b391a,
+    0xeaf63a4d, 0x4fef5cf7, 0x29daa534, 0x209d7fbc, 0xa65d792e, 0xe0cecf6b, 0x4b79c4e6, 0xf39eeac4,
+    0x641657fb, 0x0194f62a, 0xe4f2cf68, 0xda1f7d3f, 0x64886e97, 0x2231b3a5, 0x49e7e2f8, 0x8191d131,
+    0x00000000,
+    0x3a80db69, 0xc3da1972, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000151115727451828646838272 */
+  { 0x00000000,
+    0x465045af, 0xf13d5a54, 0xd1d08a65, 0x18fb97e8, 0xef9db799, 0x0972e123, 0x16e41ea1, 0x12db41fc,
+    0xf1178471, 0x417bf63f, 0xd2be7f28, 0xe59c8a15, 0x9405b24e, 0xc8ca3ad0, 0x86308fab, 0xf1947fa2,
+    0x3158c4bc, 0x712dd352, 0xe3b1060b, 0x0c6f51e2, 0x3809b6e4, 0xb62ec6ae, 0x3d34f9e4, 0x7e20ce55,
+    0x7ee90c25, 0x77e5f611, 0xac298683, 0x0593a3e5, 0x23d8f9fc, 0x5c9bdf0d, 0x116c7297, 0xa929f6f1,
+    0xf6d8e207, 0x45511d88, 0x7304f2ec, 0x75cff7e6, 0x8794bc30, 0x2a314cfe, 0x74ded710, 0x9ab638b6,
+    0x6ad91513, 0x79f10dcc, 0xdae059ef, 0x7ac6f1e7, 0x1b1c7385, 0x25cb723d, 0xcdd06d71, 0x594e7088,
+    0x9d64dde0, 0x5177b237, 0x65047ffd, 0xea209b85, 0x071fb921, 0x214dd6ee, 0xa30a4f51, 0x87475f5b,
+    0x3c401d84, 0x10fb09b8, 0x62a12a78, 0xefe0aa0f, 0xf282b0ca, 0x5d7750ea, 0xb7ac15ff, 0x533e42ca,
+    0x43fa1dfe, 0x5f81072a, 0x6d71b13d, 0xc44d6279, 0x5bfa1690, 0x6433d2ea, 0xa26317b1, 0x96e0c3e7,
+    0x3b8f8866, 0xd21eb775, 0x48b99998, 0xa237e056, 0x5068105a, 0x8363285f, 0x3d036315, 0x324f62f5,
+    0x8f6dee5c, 0xad221c6e, 0x594a34c0, 0x9ff2e67e, 0x4a04a15d, 0x95294964, 0xed41ffee, 0x48e56ae0,
+    0xa422a160, 0x63467ace, 0xf3618204, 0xcde2764b, 0x873d3b22, 0xff4e7a10, 0xd3048997, 0x574a6021,
+    0xa315703c, 0x72736983, 0x10ad5609, 0x911c8103, 0x10adab82, 0xf5af161a, 0x7c925937, 0x08e9eeb1,
+    0x56ddbba5, 0x3424ab94, 0x4f00d50d, 0x091dae2b, 0xadd0679e, 0x7f272412, 0x46106086, 0x3f782217,
+    0x3a8243c9, 0x8dc59851, 0x5e7bbd6c, 0x726fa4c2, 0x2871edef, 0x0d8df0e9, 0x2f4c8d9f, 0xecefdf30,
+    0x89609eb7, 0xe7a8917a, 0xfd13049f, 0x9cf441cf, 0x3aeb7baf, 0x1ab60e8a, 0x89203ad7, 0x0749c6d1,
+    0x2669f35d, 0xa24739a5, 0xb40802ad, 0xfa344bff, 0x2de3a83c, 0x560b23bc, 0x94f9405a, 0x86a756df,
+    0xf22af4be, 0x9f24bafe, 0x47df72b3, 0x5bf1e3c2, 0x906c7382, 0xaa92e68e, 0x7b3d1346, 0xce52ce65,
+    0x9923b73b, 0x8dca01bb, 0xc0977dbf, 0xcc39dcf5, 0xd337daaa, 0xbd93a2a2, 0xb3cb42c2, 0x33bcde1a,
+    0x510a144d, 0x2feac5e5, 0x200e8989, 0xd46c706b, 0x05dfbac7, 0xc0f2b9a5, 0xf96989bf, 0xe5c86d60,
+    0xeabc0077, 0xd25f459c, 0xabc71890, 0x51def487, 0x8e22cb6d, 0xd883d859, 0xe499d578, 0x44c26c05,
+    0xa1d41b24, 0xd45c049d, 0x11e7f2fe, 0xd8e4d3e9, 0x2339712a, 0x1c5a8d74, 0x03e9cae8, 0xb5949f53,
+    0x48cfc534, 0x43f61e79, 0x723cee77, 0xf9aa1c44, 0xfd05c3d7, 0x87c300ec, 0x355ce102, 0x44b5a7c3,
+    0x2d033409, 0xc96f5f1e, 0x5902e56e, 0xc506e2af, 0x3d63acdf, 0x00bf3b7d, 0xc7eeeaa1, 0x1c348fb4,
+    0x8a194e69, 0x100abd9c, 0x1ef67450, 0x424bfb77, 0x766c0d99, 0xc106a41e, 0x54ad0204, 0xfdede6c7,
+    0x4d253ce3, 0x1198b274, 0x2950185a, 0xef7c2e5d, 0xb8470ccb, 0xa36e7f9a, 0x6dfa3ae5, 0x85e2241f,
+    0x015842ec, 0xf6a09e6e, 0x2f06e85a, 0x0b6b2637, 0x06d2d0b7, 0x63c746c5, 0x4b653317, 0x5b68966b,
+    0x354fadb4, 0x65584b01, 0x73ad3589, 0x98982e4b, 0x40650d68, 0x68f89d19, 0x0028b4b2, 0xdcbb5dc2,
+    0xa31f56ab, 0x25d1821f, 0xaa0737b7, 0x440227ff, 0xd6ccd6c9, 0x624da06e, 0x4a05e81b, 0xf29b61fc,
+    0x3753a629, 0x6b33602b, 0x18cd0297, 0x40f57023, 0xf99ae492, 0x0a948ca1, 0x9315c88e, 0xf0afb20d,
+    0xa3d4aae5, 0x46405e28, 0x45ad71dd, 0x25b0df69, 0xf74e8f4b, 0x37217fb3, 0x405eaae3, 0xd2fca2ab,
+    0x4837125c, 0x5554814a, 0x3d0723a8, 0x25c18a5f, 0x75fe8145, 0x1072ee16, 0x297f32e2, 0x5f727e99,
+    0x504fcff2, 0x3e7d570e, 0x7e97349b, 0x392d4f55, 0x5b1bcc79, 0xb3f392c1, 0x781d37b0, 0x83d667d5,
+    0x0b441850, 0x63271619, 0x9336352a, 0x8c2d5441, 0xbab13092, 0xf07c1c1b, 0xff02c2e3, 0x8514479a,
+    0xc145bad6, 0x5f6eb9bb, 0xd3059f92, 0x93842965, 0x73d980a8, 0x47acd7fa, 0x6892a3c7, 0x962d33ec,
+    0xf97e33b5, 0x8b5a31e0, 0x8dfa4a42, 0xad2f8084, 0x8647f269, 0x46354145, 0x6ca9f221, 0x54426b0c,
+    0x8efac1bd, 0x96f6e4a6, 0x275d22c4, 0x69a96a98, 0x918ba8b8, 0xd835192f, 0xe081a171, 0x9e5b3ea6,
+    0xd809b736, 0x91645d07, 0xd25a0c21, 0x33710f54, 0x365cd4f1, 0xe4fb462c, 0x31dbef49, 0x2d58b6cf,
+    0xc6209249, 0x25ab3bb9, 0x8283c8da, 0x0dec427b, 0xea09dcef, 0xf00bb3c9, 0xb1e87723, 0xc64166e9,
+    0x4a42abb0, 0x386dc3bb, 0x00da1ed2, 0x8601cf6a, 0x86a19adf, 0xafbf72ee, 0x38c849fc, 0x934a7d21,
+    0x3a1e5d5d, 0x92762e0b, 0x2a59effe, 0x36caba72, 0x6feeb7d7, 0x06b46938, 0x55c6c7a5, 0xc2a184bc,
+    0x2de99552, 0x33792739, 0x35303f96, 0xc3b44872, 0xa5e4251e, 0x7c66cf28, 0x8150bc91, 0x147bcd08,
+    0x8d7994f2, 0xfd43f1d6, 0x2cd7cc15, 0x0b19218e, 0x2d2b6585, 0x9d482395, 0x38af9e99, 0x1491a530,
+    0x22478b82, 0xb7fa05c0, 0x83364a70, 0x687bd599, 0x2344bdf0, 0xb49bbbe8, 0xab37c750, 0xfaa1a5a4,
+    0x1676dba2, 0x5f9354cc, 0x742e46b4, 0xc091148b, 0x9aa0d5f3, 0xac86317a, 0xc8344d8d, 0xcd9062c2,
+    0x5c7e3535, 0x01e68cf7, 0xa5e9d53c, 0x1f37cd93, 0x56e800a4, 0xd7c01ead, 0x37380c3e, 0x3d3fd1c6,
+    0x14143469, 0xd9fcdb1d, 0x52a0e2ab, 0xe4ec16ea, 0x3c334a61, 0x74790308, 0xd5ced767, 0xbaeb2e9a,
+    0x6d314f7e, 0xf167a223, 0x2e2558e1, 0x9d45a29f, 0xb2babc0e, 0x76772a0a, 0xf63d6629, 0x3c79f684,
+    0x9d4188e0, 0xf27cfa75, 0xf92b1457, 0x31c6c032, 0x6f2d422f, 0xaaed66cc, 0x783d893e, 0x9909cd58,
+    0x3460b04b, 0xdc02379b, 0x894a7006, 0xc254bf04, 0xdc2ba6ee, 0xb6620cb9, 0x7b3c3f8f, 0x2c90b932,
+    0xd33d213b, 0x8348cc10, 0xf174808c, 0x1f582379, 0xe1b8c075, 0xdc94b0cf, 0x796749c8, 0xe3f86251,
+    0x4acc3f32, 0xc4a3777f, 0xbbdb916d, 0x27347b82, 0x1594a58a, 0x8ac76b4a, 0xf2f91c81, 0x255cb16d,
+    0x3326d506, 0x27483b9f, 0x1add4340, 0x42e9df0f, 0xd215b4c2, 0x64797513, 0x756f0d56, 0x9477ad40,
+    0xef7f637f, 0xa60276d6, 0x54ab34af, 0x70a34e57, 0xdfd5df13, 0x1e8e4297, 0x872a589d, 0x963373a9,
+    0x07a169f8, 0x10532fbf, 0xc8d94cdb, 0xe91f488c, 0xe7885a78, 0x0f081bb3, 0xad560028, 0x52c0f598,
+    0xb59ad35d, 0xc321e601, 0xb0c15ea4, 0xef8d3cf8, 0xe93b6b61, 0x773cf729, 0x5ed7743d, 0x717f5a05,
+    0x2f426ba5, 0x02501d66, 0x5045c043, 0x0c45a3f1, 0x3ebba2cf, 0x35a96599, 0x8872d48a, 0x17967da7,
+    0xc09bbec6, 0x2c888313, 0x3e7d994a, 0x2ca13b30, 0xef7cb91c, 0x2a3f11d8, 0x0faa36b6, 0x09e90a76,
+    0x7ed4ee69, 0x8b07c539, 0x1501f0ed, 0xb912a477, 0xcf089851, 0x6fae4437, 0xd0d13608, 0x320a4f17,
+    0xa6f08ed6, 0xf304bb32, 0xeb5e0810, 0xe5224804, 0x73b024c4, 0x3b7858e8, 0xae794472, 0xe334ad6b,
+    0xb73cfcb0, 0x689ddbde, 0x85a25a17, 0x5b0db9ed, 0x133ad6fb, 0xd6ae19c9, 0xa387f314, 0x76629b68,
+    0x6b908817, 0x30dcd0f8, 0xb156a18a, 0x73c315a2, 0x96f1901c, 0x5352b3db, 0xca452bf1, 0xd7413b2d,
+    0x35c072aa, 0x2ba67648, 0x2bbda814, 0x82d922be, 0x81496c1e, 0x5b029df3, 0xc94710b0, 0x84775b39,
+    0x3a46b9af, 0xc8be50b9, 0x1ac47f4a, 0x567203ab, 0xbe58dc32, 0x167922ad, 0x84cea99c, 0xd5785f79,
+    0x6eeaac2b, 0x5dd7c221, 0x2979a6be, 0x48ad9843, 0xcec0f66c, 0x2dd8bb55, 0x09cb3e54, 0xc74285c3,
+    0x3fb253a5, 0x69076e46, 0x78cc6164, 0xe2cfc817, 0x7d7cb968, 0xbb862ba6, 0x3d8732ec, 0x63eeb1e3,
+    0x9b546bbe, 0xbebe1acd, 0x61b20319, 0x3ffb3753, 0x6eec1a15, 0x9a5b61d8, 0x08c9caea, 0x900f2469,
+    0x6513e7cf, 0x6ce0628e, 0xbba23ee4, 0x604bd461, 0x00d1d437, 0xe1921954, 0x69f792de, 0xeb60f310,
+    0xb3d94764, 0xaa867007, 0xbd2b8b32, 0x598a077d, 0x4446cd8d, 0x02427b40, 0x10a89e91, 0xb115153d,
+    0x8208b94c, 0x8517b94f, 0xce679bc7, 0x5549013b, 0x8da67c4e, 0xf287690a, 0xeadc955b, 0x090c4cee,
+    0x5989e05f, 0x2283c400, 0x8112985f, 0x03c0c6a4, 0x000cedbf, 0xfef79796, 0xa839e777, 0x4c27d548,
+    0x45c18218, 0xdeb1582b, 0xe802d47c, 0x7c1eed12, 0xa66de190, 0x241b2bab, 0xc06a9da2, 0x64c70fad,
+    0x8758184e, 0xa55ce157, 0x65e5a81d, 0x34ff2d9e, 0x376284f3, 0xe03d1206, 0x2fb84e57, 0x332b0cd5,
+    0x78b74985, 0xbd3537d0, 0x1683eb02, 0xa0c535c9, 0xf744ef7f, 0xc1d59bd3, 0x0438c695, 0xb0e28305,
+    0xf2a202a1, 0x7075b41d, 0x7ae4bc2b, 0x25f9d340, 0x272b6db4, 0x8ed6026c, 0x8e3a8db7, 0x3f4da745,
+    0x9e9923f3, 0x4b65f039, 0x4f915b13, 0x487bae3f, 0x0513a264, 0x4d1b6edf, 0x1fc42003, 0xde0a616f,
+    0x80bfbeb5, 0x3e1830a0, 0x661b6c94, 0x44bea93e, 0x34a3658b, 0xe59cfb7d, 0x450f7767, 0x6072b5e3,
+    0x1991f194, 0x73a2915c, 0x0ea06f09, 0x60d758f8, 0x7fbeb635, 0x3d7464bb, 0x144252fd, 0xcc5d3536,
+    0xbc55e61f, 0x85f19994, 0x6628e9d3, 0x8626aaa4, 0x92ad690e, 0xd72f9e21, 0x6abfc974, 0x18a8fff0,
+    0xc3277751, 0x196cf5ea, 0x103fa781, 0x5705d269, 0xf677f2be, 0x55549f60, 0xadc1393b, 0x6ad3c87b,
+    0x32bb8283, 0xa811fe3b, 0x12276672, 0xa3dc9ca2, 0x9d57452e, 0x1ca10a79, 0x604e6021, 0xc9d0883f,
+    0x1cea29ae, 0xeffc4daa, 0xb0370ca9, 0xecc3c8e3, 0xacbac582, 0xcf62ea57, 0x3c40344a, 0x12e6de87,
+    0x71ba3a1b, 0x54df0f25, 0x82655054, 0x02f55dad, 0x301d9a6c, 0x13248ae3, 0x4b167b56, 0xd355c079,
+    0xdf95c2e1, 0xf41be37b, 0xce32c223, 0xf4a72b23, 0x598635f1, 0x34accc94, 0x4bfee1e3, 0x9b87d6ad,
+    0xd3b5a19f, 0x13615f11, 0xa903b4bc, 0xd3f8e060, 0xc55addfd, 0x1fd3554d, 0x1fad717c, 0x7148cb5e,
+    0x611328c1, 0x7df7614f, 0x20f4bf73, 0xf4376a02, 0xa62137df, 0x6e4d1fb8, 0x0384b588, 0xfe679b16,
+    0xdda0a000, 0x3b172d0b, 0x12b0af39, 0x8c279eb5, 0x3330bbc3, 0x3df02140, 0xdf68630b, 0xa4d80f46,
+    0x8c99cc7b, 0xf97efeff, 0x8f806894, 0x874cecb5, 0x02f3d2be, 0xb7ecf4eb, 0x391da770, 0x7fe03d56,
+    0x54cc7e66, 0x7b2c00eb, 0x1c662d94, 0x68477fc5, 0x8e4d2414, 0xdedab06c, 0xa11a4fb9, 0x4db91ea6,
+    0x88c12583, 0x545e4cb5, 0x5c8c2f24, 0xa2f6923e, 0x03c9c7c7, 0x0930cb65, 0x0775f062, 0xadc2c7f3,
+    0xfe7dd8e2, 0x7b10bc0f, 0xac4c9ff8, 0xc2f4bc62, 0x5f1bc2f9, 0x744aaa19, 0x28c8cc1d, 0xa7d2bc47,
+    0xad04d4cf, 0x9b671446, 0x9345fd85, 0x124437b3, 0x174c06b2, 0xeccca576, 0x546d4395, 0xca66d653,
+    0xe810d33a, 0xfcceef44, 0xd0ea561d, 0xf471b651, 0x98f31d50, 0x6043cadf, 0x01869ed6, 0x83f2af5a,
+    0x3bd72e05, 0xb6d5a1f8, 0x30ff9dac, 0x90168ad0, 0xdac01064, 0xb633079e, 0xfc3fbdb1, 0xec92a808,
+    0x8d0f5252, 0xf3b82b43, 0x6577ef4c, 0xe0f49417, 0xe503f2b0, 0xce201c57, 0x1d82345e, 0x537f574a,
+    0x9ce28280, 0x03d53edc, 0x33c9b163, 0x43c0eb96, 0xacbf3274, 0x613f9cfd, 0x557a5c96, 0xcd23175d,
+    0x6ca5d8bb, 0x202e36b2, 0x02c61430, 0x34964d7f, 0xa6eeda94, 0xb70ac988, 0x94f3e6b6, 0x438e69f4,
+    0x0b90b033, 0xa1d6c3d1, 0xd8a62ce7, 0x2a3e0a8a, 0xbc9f45f9, 0x3a00c4be, 0xf42843df, 0xac77faeb,
+    0xf356b85c, 0x5f159f37, 0xec4618d3, 0x853f3031, 0x8f2465a8, 0x8abcd84a, 0x918a9360, 0x10ae49dc,
+    0xe7c9ffb8, 0x42622ac0, 0x0774998b, 0x3e643ee8, 0xb33e9ccd, 0xea6a433b, 0x4f9553ea, 0x1075075d,
+    0x69ca77d4, 0x7b930c29, 0xb0c39935, 0xd9daef6c, 0x32c20358, 0xa767c327, 0xa3c3023a, 0x4442614b,
+    0x0076ac49, 0xd864447a, 0x520deb9e, 0x128648ae, 0xab9e1eba, 0x679a132e, 0x08c34468, 0x993e16a4,
+    0x149ab8ca, 0x91b15ae0, 0x562b0aa1, 0x114bb619, 0x0f7d0597, 0xc5b56756, 0xde334198, 0xa9e43512,
+    0xd5d00bca, 0xed57cb23, 0xbeaca5b7, 0xb7b7530d, 0xa82cb5c2, 0x4894df98, 0x0f96d5a6, 0x2760a5e0,
+    0xa5d75679, 0xdf7520c9, 0xe28c72ec, 0xb90fa0f3, 0xcbe110f9, 0xc8b61eb7, 0x640a111c, 0x522b004a,
+    0x8df1e37b, 0xc8742e58, 0x3337b157, 0xbf373cb2, 0xdce2e3ef, 0xc391f531, 0xeb5308a2, 0xe210c246,
+    0xf9b637dc, 0x264d8427, 0x57439f9f, 0xd4f7c366, 0xb7beb19d, 0xe98dad5a, 0x3cb34f12, 0x5c48b853,
+    0x07c53f47, 0x9ceb6ab6, 0x873cc1b4, 0x78e45092, 0x0db69674, 0x330b0de6, 0x9973683f, 0xbce5ed09,
+    0x5535fa1a, 0x515efc98, 0xdb4e0c3c, 0xb7da0d8d, 0xf415dfc6, 0x3fa70e03, 0x8241ba17, 0x45e72335,
+    0x39b5f952, 0xb7907ca9, 0xc8d2c4bf, 0xd5831b43, 0x01bd428d, 0xe66d1ce2, 0xd8977e65, 0x4fb6fb80,
+    0x9e449a5f, 0xa04e8bbe, 0x1d4090fd, 0x8acd727c, 0xdd06d1a9, 0xb1e4e796, 0xab186f60, 0x63c09abc,
+    0x903a6fd8, 0x8283e34d, 0xf2695a63, 0xb3edcb42, 0xf19696a1, 0x1a30ebc4, 0x7cc3b16d, 0x5367bce0,
+    0x5c341d89, 0x39eb4d35, 0x8bfb13e5, 0x8fc0cb54, 0xf899fd64, 0x5d80c7e7, 0x0347a134, 0xc49e00e5,
+    0x8d5d8573, 0xccf902d8, 0x75f4b798, 0xbd4bb1ad, 0x6c5589dc, 0xe4a619f1, 0xe47b442b, 0x8ac86cb7,
+    0x3174143a, 0x9700feff, 0x14fc1427, 0xb5c66830, 0x4e65f198, 0x72b8eeaf, 0x05c99f8c, 0xee900e92,
+    0xd8560d61, 0x33a4b7bb, 0x8100f9b5, 0x14eb9f57, 0xbb2426f3, 0x56f9190b, 0xc3c86ae1, 0x8511e603,
+    0x433c3c66, 0x063b695a, 0x2e191560, 0xeaed2457, 0xdcec83be, 0xf4e318f1, 0xe795d440, 0x41324fff,
+    0x849112f7, 0xb54ff247, 0xcdc509be, 0x501dbd28, 0x946c5a3a, 0xcfc03fa3, 0xaf45bcbb, 0x234aca8a,
+    0x24d791f2, 0x11e63657, 0x8a034290, 0xa62a99c4, 0x830ea507, 0x01c3857a, 0x815cee45, 0x4cc90fba,
+    0xa0e276bb, 0x7a14bc73, 0xe41b0bd1, 0xc5d9ef1d, 0x5fd3d6c4, 0xd65070a4, 0x2a8dddc9, 0xddc6340b,
+    0x8068649c, 0x9a2614a3, 0x5c60a3d8, 0xb97cd5dc, 0x31c71da3, 0xa69eb818, 0x8def9d01, 0x33ace031,
+    0x4f93c8e9, 0x7d8ba696, 0x428528fa, 0xc5de57ba, 0xcb6a86ab, 0x5692ff8f, 0x6ab5f4a4, 0x4abcba06,
+    0x53b7dea0, 0x98684b33, 0xcd2f679c, 0x31fad7ea, 0xa1b9706e, 0xc86d2a4f, 0x8787b8dd, 0xc4da1d57,
+    0x41dc3745, 0x2e5a8529, 0x81b90deb, 0xeb2bedc6, 0x34c85d3c, 0x3fbc11b5, 0xfd1c8a67, 0x329e9793,
+    0x070a80ca, 0x72eee275, 0xcc8649ec, 0x76534eab, 0xe10cecfd, 0xf3efa7c2, 0xb3445d96, 0xc0cf9bac,
+    0x8308f905, 0xcfc96b3a, 0x047fd81e, 0xaf26eea9, 0x3ddc622b, 0x3efad9af, 0xfd59e317, 0x80c84be1,
+    0x00000000,
+    0x1d406db4, 0x61ed0cb9, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000075557863725914323419136 */
+  { 0x00000000,
+    0xa929b4a1, 0x8f6643a9, 0x76b83fb2, 0x9f608e8b, 0x3aa909ad, 0x1d6fcba4, 0x378f5769, 0x802325ba,
+    0x7bbeed1e, 0x94b66b0f, 0xf0d55585, 0xcd7276e2, 0xc799e524, 0x1df7dc09, 0xe155772e, 0xd02ac63f,
+    0xec22a5be, 0xd9dc9945, 0x9ad92f29, 0xe65b6920, 0x982cd38f, 0xbac440f7, 0x45738083, 0x1042321c,
+    0xad2e3f1a, 0x570bd82a, 0x2cfc03a7, 0x1bccab31, 0x4066c919, 0xd630d975, 0x9967e06b, 0x40b572bb,
+    0x77c1a17f, 0x3a414c73, 0x94453380, 0x1f5fd2ad, 0x248a8fc2, 0x1cdc1b88, 0x25ad8306, 0xf09088fc,
+    0x1adb8b8a, 0xb2d6e80f, 0x1039e3dc, 0xa5e9ebb3, 0x6ad79b0e, 0x5d49585d, 0xaf326e02, 0x43f24fee,
+    0x87065f83, 0xf133b06d, 0x4430350a, 0xd17b5eab, 0x9380c52d, 0x81b202cc, 0xdfab333c, 0x9c7e46fb,
+    0xdaf57595, 0x13ad3334, 0x702386a7, 0x874536d2, 0xeefd180c, 0x694ef94c, 0x7249f5cc, 0x3121f850,
+    0x895761b5, 0x9a5299fe, 0x68e5b50a, 0xf9aa2768, 0xb83f48a0, 0x0b6d5020, 0x732231c2, 0x4c621d81,
+    0xa5ec690f, 0xdc1d4065, 0x8a720839, 0xb6a6cb45, 0xb08816b4, 0x0dfff522, 0x989091ad, 0x884297f2,
+    0x063b7fa2, 0x4c9b594c, 0xb5447892, 0xab552c75, 0x0a0eba75, 0x328c275c, 0x44e68aef, 0xf1d5eb81,
+    0x1c5dec94, 0x119dd53b, 0x470666de, 0xda088ca7, 0xba399b74, 0xbd730162, 0x5c3e6ec2, 0xa9bf13ef,
+    0xa35d7679, 0x73d26442, 0x6e7f51c2, 0x9ec6dfce, 0x35b76e5d, 0x380ed7c2, 0xc914973f, 0x451dc468,
+    0x86c66d77, 0xa36b796e, 0x0c3f2ce5, 0xb846f7cb, 0x4694db7a, 0xc49d47f6, 0x7ef4066a, 0x7c728bda,
+    0xc7e2b3b8, 0x3913c36f, 0xe2f2500b, 0x18bc5c39, 0xab4d5af9, 0xe761386f, 0xb2f8f776, 0x48c4db6d,
+    0x7e4f205d, 0x70f0a78c, 0x1a149754, 0xd77b1e21, 0xca72b4b7, 0x6d307526, 0x5434361b, 0xaaa17cb5,
+    0xd4e1376a, 0xedd1b866, 0x0be4f98f, 0xc719c7d6, 0xc01904f6, 0xdfd0e897, 0x0db81baa, 0x7b207ee8,
+    0xcbc42091, 0x946b7350, 0x6d77f041, 0x8947d583, 0x36ee2456, 0xc7ccb18c, 0x5de5053b, 0x346f5ef6,
+    0xe1516f3a, 0x0ff14a1f, 0xeb921b6d, 0x9a94ba31, 0x0f114abf, 0xcee5d224, 0x11daf1e0, 0x4c7354af,
+    0xdddec350, 0x757042a9, 0xdc9a9527, 0x0f1af7fe, 0x72829f64, 0xe54c3910, 0x25e6c4aa, 0x2accc9a6,
+    0xa34704e3, 0x704005fc, 0xff01a818, 0xba4c8943, 0x9f377ad7, 0x3c289f5e, 0x508bcef1, 0x2a35befc,
+    0x313b785b, 0x89882baa, 0xf4dcfae6, 0x72714b8a, 0xedf9bae0, 0xbea94fc2, 0xf5a55bb8, 0x1c2062ea,
+    0x45f2a2e8, 0x8b12a8fd, 0xa0589e26, 0x5a39a0c3, 0x9f47da51, 0x99fdca47, 0xc20ad4a6, 0xa352a025,
+    0xf7edaf0e, 0xdc67329a, 0x8e557636, 0x0368fd44, 0x560ab7d1, 0xd4427cdb, 0xc507c5d8, 0x04650ece,
+    0xca1a6651, 0xecb4f3f6, 0x63e3cc57, 0x2a76744d, 0xad5f4d31, 0x47f09e46, 0x436a5f94, 0x0cd3ba0b,
+    0xa015d393, 0xcea145fe, 0xd4753190, 0x134da4b4, 0xada58d87, 0x0ca9cb90, 0x7f3a1bbc, 0xf8df6caa,
+    0xd7044e62, 0x444455d7, 0x9e28b1f9, 0xfcbeeb02, 0xb01cc3c2, 0x795b137f, 0xb2df838e, 0xe79c2be3,
+    0xe32bb325, 0x5fb101e0, 0x41bcd132, 0x20648af0, 0x02e9f643, 0x5622c7ac, 0xb2d6ddb5, 0xd6745775,
+    0x270920a6, 0x375ca22c, 0x299d7e38, 0xcd2a5724, 0x0f48c162, 0x5397cf1e, 0x7b66d3f7, 0x62e5921a,
+    0x4ee4bc14, 0x8045ac7c, 0x8e2d7d4e, 0x490c8d6d, 0x01075c81, 0xecf42fd8, 0xb321ae0f, 0x25873355,
+    0xfd52d056, 0xaf562f9b, 0x8329fbe0, 0x33d96d9b, 0xf8bdb935, 0x3783462f, 0xf0a516cd, 0xd7ccebbc,
+    0x454c8974, 0x1cd832b5, 0xc4b13547, 0xa9682b24, 0xde60f97f, 0x3a0ef436, 0xe124e796, 0x9732f4b0,
+    0x46f9f7a9, 0x34cf3127, 0xe51ca28a, 0x12d6941d, 0x21568e49, 0xf42b72df, 0x7c20962d, 0x2a2ebd32,
+    0x8b556af8, 0x251b8df7, 0xef0e80c7, 0x115d60a8, 0xb7637a93, 0x22631b9b, 0xd094e5c0, 0xf8b4bf5d,
+    0xe410cffa, 0x2da9e238, 0xfd213d73, 0x6c62c9e5, 0xbc3a7842, 0x635fa90d, 0x4d96bb3a, 0x5163eef2,
+    0xabbedafe, 0x5531642e, 0xcd575bf4, 0xc1277e49, 0x2fda9cbf, 0x03b333b9, 0x604bd66c, 0x720f16a7,
+    0xab5204f7, 0x66077403, 0x5506a6c1, 0x04752ecc, 0xbcf4bea6, 0x50eb96ae, 0xac39aa34, 0x1ca5f507,
+    0xdd37fb71, 0x907fdb47, 0x4e6c4087, 0xe4b78c73, 0x70e98031, 0x7cbf81aa, 0x01c96f9c, 0x08b1cbd1,
+    0xba561b46, 0x2b28b762, 0xddc6b2d7, 0x1651ea37, 0x43b7c9c7, 0x1bbb343e, 0xbfefb437, 0x091d373f,
+    0x0218e44c, 0x6dd2d0cf, 0x4a363876, 0x2bf10902, 0xabbd24da, 0x89ab6fa4, 0x8d9442b8, 0xeba7f3f3,
+    0x0309d4ae, 0xa1de6e31, 0xd5e4a5fb, 0x1c7de363, 0x16a812bc, 0xef7f9b98, 0x7f26a1f6, 0x1f592e48,
+    0x5a890538, 0x2622ebb6, 0xabe275f6, 0x3a4e7a83, 0x0c1d9919, 0xa5d49513, 0x3d82b3a8, 0xfc6a8bca,
+    0x408e37da, 0x28eb60b9, 0x41717c4c, 0x9eabd61d, 0x30c61a44, 0xa497c245, 0xa8a0b540, 0xb351bb22,
+    0x625cc05a, 0xa561c606, 0x396b0e54, 0x83aff78b, 0x969b61b5, 0x50700138, 0xb97745c4, 0xdbb12707,
+    0x61c9c806, 0xa3477449, 0x76432626, 0xa1fc804a, 0xab548157, 0x6813c577, 0xf1e1d3b5, 0x259a893a,
+    0x5cde22f9, 0xd8e08562, 0xd88479cd, 0xa6098819, 0x09012881, 0x2621ba12, 0xf7ef218a, 0x5bee3902,
+    0x4e053d38, 0x4aa6b2f2, 0xecbf9015, 0x379422bb, 0xf3c3337e, 0xc17f0309, 0xec22a78d, 0xf2dd88a4,
+    0xeb24be7b, 0xfd9ad1d3, 0x7858a5f8, 0x38f53590, 0xcddef603, 0xc0eed446, 0xee5cf3ae, 0xf648b581,
+    0x0ec0caef, 0x396e4cba, 0xb11779e8, 0xc6ab156b, 0x6b91b682, 0xbc8a0240, 0xd4601f45, 0x3f71b335,
+    0x21f2e2c6, 0x170b1337, 0x38d6f94d, 0x6590d26f, 0x0b423c21, 0xf078a58d, 0xc7acf416, 0x2e3290f9,
+    0xded4b6a6, 0xb7a0dc7b, 0x93abbc79, 0x9a993108, 0x454e2df9, 0xdbeaf287, 0x766628f8, 0x3bc3da4f,
+    0xcedbb6a3, 0x6c8c9ab7, 0x52ae9369, 0xde23002b, 0x7d1522cc, 0x4b880bd5, 0x188e158b, 0x5ae9163d,
+    0x6c0770ca, 0xd1bf5eb3, 0xa2cae191, 0x21502bda, 0x1c15347f, 0xc0d8bc4c, 0x08c194f5, 0x8a259137,
+    0xe031cd1e, 0xfdf86c96, 0x79d689fd, 0x76ee8b12, 0x1071eb9f, 0x07a57877, 0x4fb371d9, 0x003ddfb6,
+    0xf54e537b, 0xad81e8f8, 0xe2582cd8, 0xf8790381, 0xfff6ad6c, 0x722a424e, 0xcee084ea, 0x29a1bf9f,
+    0xb1ca2bac, 0x1a20475a, 0xeaa83fd7, 0xb013b6bc, 0x97280ce5, 0x530e8d90, 0x6a905bbf, 0x8f053c24,
+    0x58950140, 0x0a2ca5a8, 0xecb10f76, 0xc64d46da, 0xeabf14c0, 0x610a5670, 0x601dc7a3, 0xd9ed0c5e,
+    0xf711094b, 0x98b6ec91, 0x820e90e6, 0x94e61d79, 0xca1b64fb, 0xd14e6e9c, 0xaa706089, 0x0ed48013,
+    0x6a07104a, 0x05f8b996, 0x90f06bc3, 0x37f89f0c, 0x8a74dbf8, 0x52aed42a, 0x65030943, 0x47af11f9,
+    0x40a1c4f4, 0xce346683, 0xae8b7329, 0xe13042d0, 0xa9222823, 0x63ce77d7, 0x863e2975, 0x81b870de,
+    0x129daee9, 0xa8424863, 0x93652256, 0xe68709cc, 0x75b0339c, 0x2a32bfb1, 0x8e9895af, 0x7430a75a,
+    0xaa689062, 0x2ea22266, 0x7a53b246, 0xb5d9af2a, 0x151fdf8d, 0x3fc19c3f, 0x576b760f, 0x6e156882,
+    0xefa04a5b, 0x1d85b555, 0xfb0723d4, 0x39ed9b90, 0xcf93f104, 0x3f6a3609, 0x5b7fe0d8, 0xe2119b3a,
+    0x55d3352f, 0x34422e14, 0x95a983c6, 0x177ea3a1, 0x44e5f26a, 0x42eec26f, 0x2688bd34, 0xb4fa25e5,
+    0xa4e7c837, 0x4cad62da, 0x07837ea6, 0xfce8224a, 0x73ae4a73, 0x8c3e35b9, 0x51ab0417, 0x8981d9cc,
+    0x56f7dbe4, 0xd4d52785, 0x19dd4bc9, 0xe8c32a2e, 0xf15da13a, 0xad72de77, 0x3ce20692, 0x5b21cdb2,
+    0xd4daabec, 0x312fb42f, 0xf197f969, 0xb2282d97, 0x0e7e42fa, 0x4125430f, 0xdbb4fb2e, 0xa23d8e6e,
+    0xce8b606e, 0x0a04d00e, 0x95b8666f, 0x8b3bb417, 0xdacd61f5, 0x404a29de, 0x1ca46b2f, 0x3e9318a0,
+    0x4b8170d2, 0xda4f7e40, 0x524f1dee, 0x87081c5a, 0xf21da3d6, 0xaf3c9442, 0x6202cc31, 0x009cf590,
+    0x9b5574c1, 0xd047a060, 0xfe401cb9, 0x962fd900, 0x1335bdc3, 0xd65411e2, 0xf7724a3c, 0x6fb4de1f,
+    0x48960139, 0x10e611ce, 0x544e62f8, 0xd3d7e1c0, 0xe863da80, 0x48d2b372, 0xa0d1c7fc, 0x584cc2d0,
+    0xbdddb859, 0x1ea91c3b, 0xb0e914ec, 0x24ddcbd3, 0xbbac9103, 0x6c8bf462, 0x16886424, 0xf08d52c2,
+    0x33d50f4d, 0xcfc95e8b, 0x9e9823e6, 0xe26e8fe7, 0x146a3f29, 0x6226f720, 0xa88da593, 0x85dbc2d3,
+    0xb24acd47, 0x17ecd306, 0xc8d91ef1, 0x7072be84, 0x644cad7e, 0xa479d81e, 0xa3080141, 0x7796de94,
+    0x23c1d461, 0xeed35601, 0xf64af109, 0xd9780028, 0xca19a892, 0xf0f8fad1, 0xd59af248, 0x22dfd400,
+    0xa28cecfe, 0x0fa21e9f, 0x3110b78d, 0x9abe49aa, 0x8040663c, 0x9eb46d9e, 0x84237e12, 0x33360cfa,
+    0x0c940edb, 0xba06fdd8, 0xcdffb1a5, 0x5cd8c226, 0x87a78fbc, 0xc982962d, 0xeb05be96, 0x10985353,
+    0xaf4be299, 0xb40b4e9f, 0x20da9ca2, 0x1016ffbe, 0xc88cf34d, 0xfcf985bf, 0x7f92d976, 0xfad36744,
+    0x9aa262e6, 0xa4296b5b, 0xda5b34d4, 0xe1f13265, 0x0881188a, 0x85f388f1, 0x528e4a4c, 0x6841ca27,
+    0x213b79a0, 0xff79c64e, 0x50853f57, 0x67bc8427, 0x193cec2a, 0x55c8c371, 0xda221287, 0xfc53b3c1,
+    0xff2b29f3, 0xa7ba4462, 0x599ec7fd, 0x7c8eb0eb, 0x9a5f6b86, 0x7b9c7678, 0x67d19fda, 0x6fd56ad2,
+    0xc3936d7e, 0xa46acf64, 0xd48f1013, 0x64e958a3, 0x93e9ee01, 0x6b613f15, 0xa49f7e04, 0x663484a4,
+    0x8faa14e9, 0x157cf2fb, 0x3ade69a8, 0x1bcf9276, 0x4ba5be93, 0x61fc9a4b, 0xa9af5319, 0x109940d4,
+    0x279fb91b, 0xe7fd0a05, 0x7514c802, 0x82c81ae0, 0x87acc7ab, 0xff530284, 0x0d980ec8, 0x22b37d01,
+    0xa7d6533e, 0xd936e61e, 0x6d82260d, 0x4f824e31, 0x1344eb29, 0x77753a6b, 0x5e833c29, 0x822dd2bf,
+    0xaa1fcfdc, 0x3565dd6d, 0xeeb81c49, 0x3d099cd1, 0x4df4a5cd, 0x6796c87d, 0xd3061e9c, 0xf26e6848,
+    0xf032d7a6, 0x3b313a09, 0x2314f1a0, 0x1c381de0, 0x35885d77, 0x562b4473, 0x1884e527, 0x51e74c95,
+    0xf051a7bf, 0x0c830f54, 0x714cd0b6, 0x221306dc, 0xe91b3d18, 0xcead3c99, 0x7f2d8c5f, 0xd9f22720,
+    0x04f3b5de, 0x8dfa6b99, 0x597616ba, 0x3eafeb48, 0xc3407b77, 0x0437511d, 0x19649b2c, 0xc1121d3c,
+    0xaf593502, 0xf934bc3b, 0x7f39773c, 0x6e2b44cc, 0xa78ccd16, 0xdf5f3417, 0x73cfa382, 0xdbea1130,
+    0xdd26249a, 0x90ad8b22, 0x5fad0b8c, 0x52ecf668, 0x4bd20345, 0x4dc7974c, 0x9f6f9988, 0xbada137c,
+    0x257b6f79, 0x7438f49a, 0xc3706568, 0xa56b0e75, 0x5fd9d079, 0xd2dc1d98, 0x0e4203ff, 0x0cea6159,
+    0xf62a309b, 0x1445ce6c, 0x6083f455, 0x8e3a12e5, 0xe1c8b1b8, 0x3f2c2e2e, 0x6de5b56a, 0xc750fc75,
+    0x2eb73d6d, 0x3fca41a6, 0x7d21bef2, 0xa11d51fc, 0x03a9329a, 0x1ea63f0a, 0x7d002813, 0x3bf2d82f,
+    0xa85d8643, 0xc359794d, 0x4da3f750, 0x68e308b0, 0xba946341, 0x1418ffe4, 0x21e788f2, 0xd5312541,
+    0x6b705fa3, 0x0ccb8267, 0x183bae75, 0xf0538a34, 0x07dda754, 0x20072424, 0x0a8c5897, 0x419dbf5a,
+    0xbf472ed9, 0x0bd76c05, 0xe07ec307, 0xc7b88545, 0xae9fc667, 0xc927a8bf, 0x8a8359c5, 0x0d0ba900,
+    0xe4fa1a22, 0xa92ef1a7, 0xdd6bf006, 0xdb6904fa, 0xf8e4c167, 0x410b6276, 0xf3fbd5cd, 0x0f7359ae,
+    0x65234857, 0xfa33afc4, 0x23c4152c, 0x684b1be0, 0xaf919469, 0xfd24b315, 0x61100e1a, 0x11a6fba7,
+    0x0f827cb0, 0xf9fd35d9, 0x5d637b77, 0x77a6553b, 0x60509df0, 0xe1a49f3f, 0x150e0d8f, 0x69dcbadb,
+    0xa78adfd4, 0x3ea63166, 0xc8ab0c60, 0x3c0f7f94, 0x2fd7b5b8, 0xb9c024ab, 0x2a976890, 0x2ba4fded,
+    0x6bbf9ab3, 0xea884c25, 0xa1a5317d, 0xf0dbf24d, 0x188075a9, 0x40f55ad6, 0xcb3934a1, 0x37a48930,
+    0x2f68b3b5, 0xf7feefc2, 0xb8a1f5c9, 0x7b50ddea, 0x3c69185a, 0xc50616a9, 0x8a4e1ff3, 0x46bc829d,
+    0x3f8b21cc, 0x845782ff, 0x1cf68b4a, 0x2d4c6844, 0xa1881fbe, 0xe11b1dff, 0xc1e05aa0, 0x7c4a08f1,
+    0x8fe5682b, 0x6aec541e, 0x9a61fd07, 0xeea781e4, 0x2bf52d65, 0x2dfad46d, 0x772c3bd0, 0xf9b32a64,
+    0xdc68786c, 0xcdfc1b15, 0xdcfe4249, 0xb05b757f, 0x9f14279e, 0x1317cb64, 0x1055ecb0, 0xbf5623d8,
+    0x45fd138f, 0x950e18e2, 0x0ccfca1a, 0x400e88fe, 0x5f71533d, 0x6aa024c9, 0xe0f72ad0, 0x50340446,
+    0xcdd4c218, 0x8ee65b54, 0x264a1821, 0x40e60516, 0xfaa4a61a, 0x4bbda7b6, 0x8a7ed88a, 0x912e426e,
+    0x685c916a, 0x01a47886, 0x3c890c78, 0xf9cb65db, 0xd14810ec, 0x771330ef, 0x2527d391, 0xdeb32d83,
+    0x99307723, 0x33f8b18c, 0xc65dcdb9, 0x3bb8518c, 0x3091629c, 0xbbdd1555, 0xdf092bc7, 0x4c509a90,
+    0x67e21d3e, 0x640874dc, 0x9c3e5d38, 0x8f2d8393, 0x46196b8b, 0x9fc24c05, 0x79da1910, 0x4ab21ee6,
+    0x0dabb874, 0xab6558cf, 0xd53393a8, 0x173d9ec7, 0x52a97d9e, 0xe77f0dd7, 0x0c9d610b, 0x1bc8c752,
+    0x7d274555, 0xef85886d, 0xec93e650, 0x63859ec4, 0xeeb84967, 0x49b831b9, 0x7430e55b, 0x31440199,
+    0x71377cd8, 0xe79fa7bb, 0x614b25ee, 0xbc94a19a, 0x3d7718d8, 0xc773a4ad, 0x5e36e156, 0x89b8e90b,
+    0x6caa0ecf, 0x19faa8a6, 0x66710aa0, 0xd13523a7, 0x9d8c25dc, 0xc7349b81, 0x5072be01, 0x07e3cf5a,
+    0x84584f7b, 0xc1105b04, 0x93ba2c16, 0x1587e44c, 0x7ce8fc54, 0xf9720c8d, 0xb3cd8d3b, 0x93d94b57,
+    0x549555b1, 0x1e866d80, 0x1dc0f420, 0x55357497, 0x7db9cc46, 0xf2ddba58, 0x5c7b471c, 0xfc12f05f,
+    0xf9da0b49, 0x5a8943b2, 0x13f816d6, 0x5f8b5aea, 0xefbe4203, 0xa463981f, 0xfc4c101d, 0xdce9fd04,
+    0xc6516b81, 0x573a2060, 0x10054482, 0x585cd9f4, 0xa7ea0765, 0x8d62572e, 0x7b725558, 0xc045982a,
+    0x76b5adb6, 0x3b88d9ba, 0x922a77fa, 0x6736cbd8, 0xdd459e6a, 0xa9d79c74, 0xe0073018, 0xb44a6356,
+    0xe2c38cf3, 0xabb74aa0, 0xea6e55cb, 0xf4a9f6e9, 0xdd3ab597, 0x4bfae571, 0x24c9ecaf, 0x61430528,
+    0x8a298949, 0xabaf10f7, 0x775756a9, 0xf230f90d, 0xc9fb7493, 0xb0835c62, 0x7df5c2ed, 0x8c0a7bcf,
+    0x11a678f0, 0x7ee1d400, 0x87a305b9, 0x2d098eb1, 0x62f85286, 0xf4aee125, 0x22a7fbd1, 0xa84dcbcb,
+    0xfd2f73ec, 0x19047802, 0xe0dd929e, 0x1a477efd, 0x0d97a34f, 0x19b9ad0b, 0x48ac661e, 0xd7ec1d30,
+    0x137be11a, 0x72933f87, 0x5f37ac0f, 0xbc178b94, 0x14b03fec, 0x024c7a57, 0xd7b70822, 0x3c9d3b29,
+    0x1a220bb5, 0x58ced27e, 0xf5119aec, 0xff3c7a49, 0xad6e72eb, 0x782d102d, 0x53a160d0, 0xb5925d7d,
+    0x00000000,
+    0x8ea036d9, 0xb0f6865c, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000037778931862957161709568 */
+  { 0x00000000,
+    0xfc05b224, 0x4208621e, 0xa61d0ff3, 0xa2ef3255, 0x79c76219, 0x3b4055e8, 0xcee2c1a0, 0xf84fefaf,
+    0x373e0ac9, 0x5d02d9eb, 0xf9253702, 0xe1084281, 0xba635502, 0xe91675a6, 0x7a10d179, 0x1e7945f3,
+    0xd7a15023, 0x9f35e04b, 0x35e6fb0a, 0xc872f1e9, 0xa6c7f526, 0x6f844c0f, 0x0bab01ba, 0x909def26,
+    0xfa91ad5a, 0x271d84a5, 0x62af832c, 0x864a4947, 0x6e6a5c70, 0xc6528128, 0x8cd6c981, 0x91c2e469,
+    0x042c8994, 0xe55d8271, 0xeddb33c1, 0xd567c256, 0xd39a4ab4, 0x158a67f9, 0xa6a31523, 0x3dfd9487,
+    0xa0c4f154, 0xe513ab1d, 0x7551d0ea, 0x6ae9502b, 0xc16b59d3, 0xbd9a3f17, 0x6142cde3, 0xcf88c54b,
+    0x0944e27c, 0x3f8200bf, 0x172457a7, 0x686e824c, 0x3ebecea5, 0x50f13d54, 0x63efbdca, 0xe0741908,
+    0x0d1353b1, 0x654061a0, 0xf3ff6ae5, 0xde5951d7, 0x0b20f54e, 0xd362b681, 0x4a9c4b4d, 0x979b8f85,
+    0xbe422c19, 0x7e298725, 0xe4978e2a, 0xd96e9048, 0xd7948a21, 0x60becc73, 0x6ab78f2e, 0xb7ba030f,
+    0x3ef032f7, 0x3462efe2, 0x85bfac46, 0x9e99e126, 0xbfdaaa93, 0x69031d8f, 0x10b93c8a, 0x2ec456a4,
+    0x080fbeef, 0xc34910db, 0x087b4ae7, 0xb33462ca, 0xc2db45c0, 0x0f1ddfe4, 0xc165d252, 0x8ea19472,
+    0x56130e5d, 0xbb14377c, 0x089ee035, 0x4b8b5ab6, 0x7850c19c, 0xbedae763, 0x631df7b4, 0x88167ab7,
+    0xfa7954d9, 0x5e6b3e15, 0x5b13ccdf, 0xc3a013d8, 0x8d07237f, 0xe8bb07b3, 0xc1772518, 0x6a31b9f3,
+    0xb36bb0b3, 0xb9d6b785, 0xd15a92bf, 0x4f5b0c86, 0x18702ed1, 0x067f9c78, 0x1eb0e5dd, 0x72647031,
+    0x88b25dc5, 0x20c0c2b9, 0x1558dc51, 0x04372d62, 0x168a1d97, 0x60cfd747, 0xf072d70b, 0x9d169b4f,
+    0xad720888, 0xc0a5f54a, 0xd630c6ef, 0x94bcaab7, 0x3671e9dd, 0xfbd51a98, 0xa4d23b53, 0x141f6fda,
+    0x0f26a750, 0xe986992a, 0x20367f7c, 0x7584ba0c, 0xdd16a241, 0xac166098, 0x6d96274a, 0x45f525b5,
+    0xf6f5711b, 0x71c079e8, 0x2d6834c2, 0x3b72df63, 0x68a68b8f, 0xa9a0ef6e, 0x951648df, 0x0a20de38,
+    0x8af42613, 0x1c0ee4d2, 0x27410143, 0xa01b20a7, 0xdc90aa1b, 0xdd8cf6d9, 0xc3b584f1, 0xabebbe72,
+    0xf7673bec, 0x898190a7, 0x88931e11, 0x11d03c7b, 0xd8b27e03, 0xdc21249b, 0x086496f9, 0x6b2955b1,
+    0xed2a4329, 0x7f0de673, 0xf9188199, 0x8f6e0348, 0x8021ae86, 0x3a31a001, 0x06b98ea3, 0x593754be,
+    0xd5e1bdbf, 0xc724106a, 0x6d4ee49a, 0x28b2c30a, 0xa304c8a5, 0xba510287, 0x73fc6370, 0x8fe79690,
+    0x826ca778, 0x059b8b9d, 0xb47b2dcd, 0x2c5be5f6, 0x36f85555, 0x392b4aa6, 0xda78fc40, 0x28f79a7d,
+    0x05387d58, 0x51450f9b, 0xe40f0a8b, 0x9a857f60, 0x68dcc25a, 0x8a32da5a, 0x76bd7a37, 0x57b04f46,
+    0x9bbf048c, 0x001e9d3c, 0x0b5f1333, 0x165c3a25, 0xccaedbb4, 0x021b0c0b, 0xc56d488b, 0xdf7b6bb7,
+    0x15bfbbe5, 0x06816acc, 0x2ccc9fbd, 0x2ae06fec, 0xbad475d4, 0x9e196af7, 0xa00f9aa1, 0x250ef778,
+    0x0592683c, 0x497d4f02, 0x60aabae9, 0x546ab22b, 0xbb2f7ac8, 0x530d1b87, 0x1d148910, 0xe0fe4858,
+    0xea71ac7f, 0xacdd1458, 0xe373ee86, 0x139cacb9, 0x01e7837c, 0x8d285262, 0x09ba2db5, 0xc874fbcb,
+    0x127b7d89, 0x45046978, 0xe3f32df1, 0xb289a0af, 0x02503770, 0x9588db8f, 0x81c59059, 0x810166d0,
+    0x8f3b7038, 0x8fa3572c, 0x699c6f81, 0x6b3b39b2, 0x2c53adb1, 0x7e14d539, 0x7a3e7c92, 0xf25f730e,
+    0xdf45e1fe, 0x41a76b13, 0x0879cb52, 0x75086964, 0xade609d8, 0xb59a91e6, 0xd07d2c0a, 0xf8a46af2,
+    0x86988d80, 0x0cfdbe1f, 0x214f18f8, 0x9e847ddc, 0x5bfb807b, 0x5bc93a7c, 0xdf2f3d92, 0xfd94a711,
+    0xe9e72bae, 0x86e673f5, 0x91067054, 0xa2df692a, 0xb82bad11, 0xdf2e4be3, 0xe8e5258a, 0x27d91492,
+    0xddae834d, 0xd5194477, 0x28fbc636, 0x9c552b6f, 0x81046fcd, 0xd30dc9f7, 0x4453df36, 0xaf310b67,
+    0xc1997990, 0xcf19e68e, 0xfd0021bc, 0x71ad96ea, 0xc13f996d, 0xcd409cad, 0x4856b591, 0x4a25af4a,
+    0x0dbc5c7b, 0x9295e2bb, 0xbea2a27f, 0x7d1831a0, 0x024ea5c3, 0x7b0442bd, 0xe0c77777, 0xbe363ef0,
+    0xda0f012e, 0xd7999b11, 0x946705e1, 0xa0bd7b25, 0x37c9dfbf, 0x480f243e, 0x217fc5bb, 0xa62c74b3,
+    0xba0e91c1, 0x9aa2d1d7, 0x8311cfdd, 0xed0100d0, 0x668f35e6, 0x9bbc77c4, 0x777fe757, 0xa908a6e7,
+    0xe46bb61a, 0x97c85c77, 0x6d2f912f, 0xbd237c02, 0xd7c50ee7, 0xc2046ebc, 0xeba02c26, 0x85c03ab1,
+    0xbcf77372, 0xf10ce138, 0xe0401797, 0x7c55223b, 0x465693cc, 0xf8ef90be, 0x85951d39, 0xe4cb6b74,
+    0xa9b754aa, 0x73572b6e, 0x3b94ac55, 0x9e17e1b0, 0x730a7e76, 0xff7e7c65, 0x0f7e00fa, 0xb408d898,
+    0xe0674521, 0x453e7ee3, 0x4279ec55, 0xc530f7b9, 0x529d764a, 0xb97574d2, 0x2e33b4a5, 0xb90ad9bb,
+    0x2f3a3765, 0x20a4f6f7, 0xb50ffeda, 0x348f3d96, 0x8760770f, 0x8f166aee, 0x2da8fe6a, 0xaa98ca50,
+    0x669ed5eb, 0xcb3766d4, 0xc43822c5, 0x322094aa, 0x5370d6eb, 0x6eb0806a, 0xc6f7cdf1, 0x18f5bc0c,
+    0x53a5e915, 0x1bda56dc, 0xda7e2089, 0x88d85f82, 0x876374af, 0xf3d28837, 0x2d903124, 0x9e756fc7,
+    0xfcb4da39, 0x990dac5c, 0x65eff75b, 0xabe094c9, 0x9b01b37d, 0x7e35fda5, 0x7204aa7a, 0xcf025806,
+    0x79d2f34c, 0x36aaa27e, 0x393404b4, 0x78358ad0, 0x5302eb2c, 0x81975aeb, 0x72b1c454, 0x37fcaada,
+    0x56e1747b, 0xffb49911, 0x2f351d12, 0x0249f461, 0x0d6df914, 0xecdfd8e9, 0x1c7d80df, 0x7c5d1074,
+    0x341e10fe, 0xec92e46e, 0xe10dd769, 0x16afb0e3, 0x6afc0974, 0x84fe15fe, 0x122b02ac, 0x98956b85,
+    0xab6847dd, 0x7d356805, 0x90f8311d, 0x8e8c135c, 0xaa1a07b0, 0xb92bdd3b, 0x5eb261e7, 0x3e68dbe9,
+    0xf01e19e3, 0xb6c077e4, 0xa9365361, 0x8489eea0, 0xe3fb007c, 0x90a7f728, 0xf12926fd, 0xebef1050,
+    0xcdf07620, 0x49dc45f1, 0x78076352, 0xafe568c3, 0xa78492f2, 0x1d23940e, 0x7434ce01, 0x5a09b59d,
+    0xb1b1c64c, 0x59932405, 0xaea8c5a2, 0xf7257d07, 0xfc21faca, 0x06ad875a, 0xb7923a27, 0x53ae1d63,
+    0xf105868c, 0x2848203c, 0x0fcc5f0e, 0xb6dbdd65, 0x0e0e5ca7, 0x1a4d4f0f, 0x3f23c400, 0x744a1d21,
+    0xcc7e4a89, 0xc436ae70, 0xf81c357e, 0x9b59fa82, 0x13f05fba, 0xad595f9c, 0xd3752976, 0xeebf8ed5,
+    0x48e173cb, 0x9b75c9fc, 0x73df8e7d, 0x02a27e39, 0x0350f083, 0x59e8b542, 0x87469e14, 0xc11eb751,
+    0xa5ae62c3, 0x3a6265d5, 0x457ba7cf, 0x7f24e16a, 0xf5fd2f54, 0xdd5328f7, 0xcbc62dbf, 0x5fa6b7e2,
+    0xdd9776f3, 0x7b21ea07, 0xfffe426c, 0x3873ee83, 0x92aea3ee, 0x200bbf2e, 0xa4bbdbdb, 0xfe328893,
+    0xd1fdc82d, 0x33faccf7, 0x27b5d31e, 0xbe965f9d, 0xb1d058a4, 0xbe778ba3, 0x534bfb26, 0x27095483,
+    0x119c6012, 0xad9918a4, 0x5c4f9b2f, 0x3d60fd59, 0x5bc3b92c, 0xbc0755c2, 0x722b6066, 0xfb670ac2,
+    0x0c402d75, 0xda1a4d14, 0xb84d893d, 0xe0e2d290, 0x3b72d7ff, 0x4d395c31, 0x7a255ed1, 0x1b49f2b1,
+    0x96a64b24, 0x352918ac, 0x81059196, 0xf09caf51, 0xc0ac5e96, 0x62215600, 0xdaf35e16, 0x43476de1,
+    0xea015393, 0x810a1634, 0x42eddd4b, 0xf9fa981c, 0xaa7bcea3, 0x48e808a7, 0x90756693, 0x92ae055a,
+    0xa4638943, 0x8b1d6393, 0xc355db13, 0x835be03e, 0x76fb0fc0, 0x6f791bc8, 0xccd0895a, 0x7b68027d,
+    0xaf9d5349, 0xc7f68af8, 0xe4810776, 0x6eb53c82, 0x665057c1, 0xb87aba21, 0x8fe475b7, 0x4c881d34,
+    0x3c34d48f, 0xe607b0d4, 0x9460a7d7, 0x40b3eb3e, 0xb2de7eda, 0x0298e912, 0x284cf2b2, 0x6b82f78d,
+    0x517a58d7, 0x2d23cfe7, 0xc9a1d641, 0xad449bbc, 0xf5457aef, 0x89d0c4ad, 0xd564f5ec, 0xc2eb1cc5,
+    0x5986f97a, 0x15288fbd, 0x6fd54077, 0x62b21d95, 0x955c8752, 0x1961cde2, 0xc3e372c2, 0xf8447b97,
+    0x8e25a455, 0x01ec6bb6, 0xf54b97a2, 0x9f69d8a6, 0xe04ff69b, 0xa83aa049, 0x0f5d6154, 0x862c8938,
+    0x2ed07c9f, 0x90a46a77, 0x3f5b2b3a, 0xfaa3de5d, 0x56bbe39e, 0xfbbbc8d8, 0xe08c0e3c, 0xd4588e53,
+    0x098941e9, 0x7afde0af, 0xa2a78483, 0xec94eb7a, 0x7311b87e, 0xad2fbab8, 0x06cebda5, 0x040e28dc,
+    0x7c8879bd, 0xa7566971, 0x0d1dbaad, 0xcd95bf57, 0xd31ca4a4, 0xb892dd36, 0x0f8395e3, 0xffaa442d,
+    0x332b8871, 0x6209af34, 0x6c7c9b35, 0x09c357e0, 0xf5eff42b, 0x349e618e, 0x7b788e83, 0xbe5e3219,
+    0xb7c53fa1, 0xfc6e6c97, 0xe9032872, 0x986113e5, 0x7226cf56, 0xce46904d, 0x40215b88, 0xe2394ecb,
+    0x6e2bee1f, 0x51aaf659, 0x5777f031, 0x4ecafd38, 0x8c9687ab, 0x4e643f56, 0xc5713a16, 0xfc8bcf5b,
+    0x1c5f0753, 0x0e5f7b88, 0xd6250f26, 0x413f76a1, 0xc45ebc4d, 0xecd3f306, 0x7801ead4, 0x29d632c6,
+    0x9dadfff4, 0x8b0d638c, 0xfa18cd0c, 0xd4ee22e6, 0x44cd5e9c, 0xdcb725c8, 0x2c280e99, 0x63b2bbe5,
+    0xcc54df90, 0xeced3028, 0xf0c04b06, 0x25de60f1, 0xcd706fbc, 0x1af20d7c, 0x9011f4c8, 0x74b4c04c,
+    0xe3371447, 0xcf5bcd9c, 0xdc603194, 0x3efceab2, 0x5685a0d0, 0x523c93f7, 0x26ec66fc, 0xcc186872,
+    0x929bb0c1, 0x06c625f5, 0xa9eab5cd, 0xd78a384f, 0x7357bfac, 0xbd30bb66, 0x8b67d54c, 0x8e6004f6,
+    0x9363a240, 0xec3c8b82, 0xd33df795, 0xe6d6c242, 0xe2d20e05, 0x771a60b1, 0x3b15dbe0, 0x2b5f7a32,
+    0xb66135bd, 0x8ac4d1d1, 0x63979ba5, 0x8f58df8e, 0xfb85cd84, 0xdd0ca024, 0xd8e2e256, 0xb1fe6dc5,
+    0x8ece3158, 0x83fe5bd6, 0xec6e233d, 0x8fa5bab4, 0x2cb0247e, 0x31a227a8, 0x6b171b63, 0xf04dafdd,
+    0x78628b5d, 0x2a599cd6, 0x8f8f00b1, 0x864ad0bb, 0xb5e670ea, 0xd28f560a, 0x86b27021, 0x57e01e17,
+    0x898c1c70, 0xd4c8bd0f, 0x9c848a4e, 0xe50319c7, 0x161c9eff, 0xe9c7f6bb, 0x49002223, 0x0edff75a,
+    0x36aacab6, 0xfc30c1a2, 0xf5b34d1d, 0xece5c5ac, 0xff60ebb1, 0x8e08b934, 0x67928a66, 0x73ee6004,
+    0x2f33590c, 0x3577f575, 0xcc33b1c8, 0xdaf00f06, 0x5373d8e5, 0xdc7e5294, 0xca6dd79b, 0xb1796106,
+    0xc723550f, 0xa14a18b9, 0xd0eda4dc, 0x8e229983, 0x061a0687, 0xa863f257, 0x1fb816fd, 0x40f67355,
+    0x6195a3f6, 0x3f265a04, 0x7bfdb667, 0x737cbb4d, 0x01c3b2f7, 0x3f774c81, 0x583762c5, 0x731ec319,
+    0xbb231a83, 0xcd4ef6c1, 0x5009be71, 0x15f838c2, 0x6198345b, 0xdccac113, 0xc64f0490, 0x6b5d1506,
+    0x10c3d84f, 0xde8109bb, 0xd10448bf, 0x2272354b, 0x741d49d5, 0x5e29f1d9, 0x37e9a662, 0x3f0be737,
+    0x1fa2c8d4, 0x04ad8b5b, 0x0f88d8f9, 0xe56096ac, 0x94d96ac3, 0x71e24503, 0x4ec15a5d, 0xc9496859,
+    0x999442d6, 0x45f16cca, 0x5f0c614f, 0xf14f80d5, 0xaf559641, 0x132ccef4, 0x70f9cda0, 0x8013ee00,
+    0xdbb4f6e0, 0xadb05383, 0xe0dfb9b1, 0xdb7dbdcc, 0x928c6658, 0x8394e64b, 0x43a3fcf9, 0x04c31dbc,
+    0xd5c2fdf7, 0x18f48139, 0x934bec8f, 0x83d09fbd, 0xc385830d, 0x17986903, 0xa7fd3560, 0x0d603ba4,
+    0xab215ebb, 0xe7f13a5f, 0x7ebd28db, 0x32322570, 0x084e5847, 0x749b967f, 0x3f6c265a, 0x3ff50d35,
+    0x104f2bad, 0x8dac5ee2, 0xb40ff5be, 0xc77383d8, 0x3a3a2a91, 0xad798791, 0x8d38795a, 0xf3230717,
+    0xd4b62066, 0xdc14ff57, 0x1a03d5ac, 0x9703ba62, 0x428872b2, 0xf776ddaa, 0x38865e43, 0xdc0072b1,
+    0x39fd5e65, 0x0f3a7f36, 0xba7beffd, 0x33e5727c, 0xc709b4a4, 0xd613b6ca, 0xf74a8c8b, 0x1d3361c8,
+    0x3efc9172, 0x174f8dd9, 0x065dfda0, 0xd258a934, 0xf54fcd66, 0xf3d05b37, 0x6499f75e, 0x8618526b,
+    0xd05a0a50, 0xd7b20c66, 0xacd84fb9, 0x26c3a730, 0xc178f537, 0x960f4495, 0x63edaeca, 0x222c1257,
+    0x24fabe65, 0x77173b86, 0x5287468f, 0xd7e85dd2, 0x7e11be2e, 0x114030a3, 0x82dc102f, 0x47934a34,
+    0xcb8f1f45, 0x97d16632, 0xb5f610ba, 0xe5a4945c, 0x986a621e, 0x0dbfc004, 0x1deaf7d3, 0x4644cc2c,
+    0xd60a326b, 0x25b800c3, 0x1c7cac65, 0x9fff756e, 0xee47e68c, 0x77578a09, 0x2916c82c, 0x9d72317f,
+    0x84c73611, 0xf59bcf14, 0x9cee65b0, 0x1d50ebf5, 0xb779f1b9, 0x6d98cd3d, 0xe29a54e8, 0x395fb401,
+    0x4873e6b3, 0xd2d9e8e9, 0xec6162d9, 0x5f3aa652, 0xfb2ec0e3, 0x800b74e7, 0x54f17926, 0xb369c791,
+    0xf43fd84a, 0xb7fd42d3, 0xd76467e0, 0x11e85cb0, 0xd329c545, 0x961bdb43, 0x472fdde3, 0xe9b10ab5,
+    0xcc75193f, 0xbe2e5f50, 0x3b527286, 0x5335ec81, 0x7f17804f, 0xa746942a, 0xfbee7dc3, 0x5fc2c397,
+    0x0fef7d1d, 0x6df20332, 0x2c667325, 0xbe0c6dfe, 0xceb0c1ad, 0x6a839cf6, 0x8ff2b330, 0x3f5bd45a,
+    0xaddf9295, 0x82dd5411, 0xe60b4801, 0x57aec6e3, 0xa0f85042, 0xa237a63b, 0x9d5d581d, 0xa0bd293e,
+    0xc6199562, 0xc576c6d1, 0x2bd3b34c, 0x8adbd02f, 0x9082a741, 0xd3f523a8, 0x1165df21, 0x0c9ddcc8,
+    0x17dbe065, 0xa6d5144a, 0x17d12ad4, 0xfebd8086, 0x24077a82, 0x3aa72dea, 0x31938fb2, 0xd7549fb6,
+    0xdbdb3686, 0x19908082, 0x721a8349, 0xdf8dfa62, 0xd6689958, 0xe61ebb6a, 0xbe4b1a60, 0x7ab1db47,
+    0xcc7a8fb2, 0xf1b431b4, 0xc3219e45, 0x9c17d16f, 0xf4eb6a3f, 0xdd43d691, 0x94d2d165, 0x15dceac4,
+    0x889f1a78, 0x4c6c1434, 0x309f1e70, 0x1d254d84, 0x4340a74c, 0xe4f7304a, 0xb8dbfdc1, 0x45292ea2,
+    0x68ff6fcc, 0x51e88992, 0x3300d5b4, 0x78db25df, 0xb526ab5c, 0xc4b7ad46, 0x9002a69d, 0x9d5087ba,
+    0x4f376f72, 0x99df98af, 0x65c69b1d, 0x162c6854, 0x5288abd2, 0xdc815163, 0x44ad7418, 0xa8d6d99b,
+    0x893a2e88, 0xe1ed8d6d, 0xbc31c19b, 0xb78d64bd, 0x5bc60b66, 0x88e2b5dd, 0xba09b496, 0xd3d3ca22,
+    0xb64c6aac, 0xfbad5bc5, 0xc990f7b0, 0x2148ae1a, 0x89880d70, 0x7bee2e8d, 0x40c29588, 0xd87f538d,
+    0xd76cd9bd, 0xe58c3658, 0x1d8fdcad, 0x4400dc7b, 0x9fe95f6a, 0x7acb8b95, 0xe841a08c, 0xe7f7d301,
+    0x1d5815c8, 0xbcb08a8f, 0x4f0c709a, 0xf5788f61, 0x7ae0a94e, 0x127da92c, 0x1f4b4b53, 0xa1d54d42,
+    0x2e5de558, 0x86246e9c, 0xb22c99e8, 0x340e590f, 0x280e7c74, 0x556c60f5, 0xb982be04, 0x87b3209c,
+    0x1543082c, 0x92239f26, 0x55e35d06, 0x588703c6, 0xbe88f923, 0x8daf0787, 0x693cf492, 0x9faaf0f1,
+    0xe95d8bf2, 0x3f336113, 0x36f55006, 0x7ee89787, 0xe385fdf5, 0xf65d5ce8, 0x63c43208, 0x2fd50085,
+    0x04c4358a, 0x71ce06f6, 0xb1d8c178, 0x8f871918, 0x14f89828, 0xd8ac133b, 0x98fdc354, 0xc2a487ad,
+    0x12843636, 0x110b4a9b, 0xf659dc04, 0xf20beeac, 0xc05443b3, 0xb7905b22, 0x0fdec79c, 0x987359e9,
+    0x00000000,
+    0x47501b6c, 0x587b432e, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000018889465931478580854784 */
+  { 0x00000000,
+    0x93e615df, 0x013ea914, 0x05d01266, 0xa9313040, 0x8185d849, 0xd1c6753e, 0x111f56fb, 0x2f5657fd,
+    0xbdc877c0, 0x7673679d, 0xd819da95, 0x371359fb, 0xfb1e067c, 0x12315fdc, 0xbf3c6a3e, 0x0077da42,
+    0xd2575d41, 0xd009c36b, 0x8bae1418, 0x4fb118eb, 0x168b2e11, 0x41d6b6d8, 0xa449caf7, 0xd18c0194,
+    0xba67ba19, 0x10697e91, 0xa579c0a5, 0xc4c3adb8, 0xe6e82352, 0x49cbb296, 0x1ad021a5, 0x0310d5b6,
+    0x859baa03, 0x9f81da12, 0x81c0f25e, 0xb51f013a, 0xc3646fde, 0x2ad3f133, 0xbbd12834, 0x506a572f,
+    0x4c726df2, 0x7bd4d9c3, 0x8c80372f, 0x1167c316, 0x270e9107, 0xf60a6251, 0xcf5b27fd, 0xa8e92d92,
+    0x0f61c5a1, 0x0880b256, 0xbd5e257c, 0x4b2fd869, 0xdd4f6ca6, 0xdf72d429, 0xab966135, 0x04c5f33b,
+    0x3f74a2ad, 0x00adca1d, 0x27521144, 0x58ceeb57, 0x7929b6f2, 0xebee59f0, 0x39f95ca8, 0xcd83a87c,
+    0x2d0e8db1, 0x4f7ffb78, 0xcaa54dc7, 0xc03e8a8a, 0xfccfde39, 0xf9d41157, 0x9d1e8982, 0x5fbaf43a,
+    0xfebd1d7b, 0xe2dd12e4, 0x7c5d01cc, 0x614a64eb, 0x80add712, 0xf43e92b5, 0x82cd67f9, 0x1de64d70,
+    0x6852209f, 0x94671b16, 0xd2684042, 0xe53fde4d, 0x9228cbfa, 0x0dabac72, 0xb4a212c7, 0x9d5d62e3,
+    0x8ed67aa7, 0x22e301c0, 0xc8fc6dec, 0xcb4d2a0d, 0x9917af08, 0x75d4a046, 0xc4b22eae, 0x9a5663d7,
+    0x7604c4a7, 0xcd8a90d9, 0xa180b026, 0x1e836427, 0x4a61c38f, 0x0bda6418, 0x09ece6cc, 0x486eaf75,
+    0x83e88b32, 0x8fafaa9e, 0xab66b327, 0xb05d1b6d, 0x4ab7e31c, 0xdec074a5, 0x3b04c3ff, 0xae037fca,
+    0x1ca6de49, 0x10a6ec8e, 0x884f263c, 0xc58fcec9, 0x53be96a4, 0xef8ac327, 0xc877d7a2, 0x169b2468,
+    0xc19ca9ae, 0xda9552af, 0x4c678867, 0x3e4df192, 0x3978bf92, 0x2261fbbd, 0xebb352f0, 0xe5d85f16,
+    0xa59af515, 0x42ae854b, 0x2a5a15b1, 0x7bae4a72, 0xd8a7b9cb, 0x219e9a3b, 0x8dc73c8e, 0xed07f8d2,
+    0x2091d18e, 0xdcdab2c6, 0x1bcf32da, 0x506f8bb2, 0xaf94be37, 0x1291b61a, 0xcf76c819, 0x691a6e3f,
+    0xb182c96b, 0xcae82ab8, 0x26f9f8d2, 0xa273872a, 0xc3208b48, 0x1ce55b32, 0x6352a09e, 0x6a0dcf7c,
+    0x7e02ca1b, 0xdf7a10ae, 0x1b5bfaaa, 0x82611947, 0xd790de5d, 0x8fd4e899, 0x0d988b12, 0x9d54cc68,
+    0x3489b77b, 0x9c8f6cf8, 0xdfe6d06e, 0x4aa29a13, 0x73236180, 0x111d8667, 0xf1403f6c, 0x0c8cdc17,
+    0x7aae9d00, 0xf0fd6a7a, 0xd4545b9b, 0x5841697f, 0xa1e553a0, 0x10687816, 0x79ef3de3, 0xe1c4d6a5,
+    0x23566440, 0x78d3b280, 0x6f5c159d, 0xf451ab28, 0x6975bbac, 0x35910551, 0xb4c7f124, 0x77e51f58,
+    0x7eba9565, 0x6b3e436f, 0x53220bff, 0x85cd04c3, 0xad03e197, 0xc2aa5ffe, 0x9b16319f, 0xc4f1b8f2,
+    0x23490564, 0x060e0ac6, 0xe5f2bd7e, 0x8957f041, 0xbf830d3e, 0x9cb2ac68, 0xb42cf98f, 0x71f89b46,
+    0x1382f301, 0xfb728d5c, 0x925d7c39, 0xb6a72416, 0x6f30fd82, 0xe4ac6749, 0xa5fa0ab0, 0x05588369,
+    0x704d73ca, 0xbbad3caa, 0x8dde2642, 0x2d0d34fc, 0xe99ecd62, 0x407b0439, 0x027e25fd, 0xc5b12773,
+    0xeaa5d250, 0x1ee4b2f2, 0x4fd3d56f, 0x8f113753, 0x0c8ec5b4, 0x7a7907ec, 0x6304c51e, 0x83ef0551,
+    0xef7a0dff, 0xc4a463ae, 0xe05ed9d9, 0x83412e40, 0x1145d4e1, 0xd986929e, 0xea088e2d, 0x31e4a93c,
+    0x56aec8f2, 0xcbce0c52, 0x9ed9b814, 0xc25543b5, 0x8d3a9cba, 0xa0efd7c5, 0x3b486527, 0xcd411ec0,
+    0x138c4cfb, 0x578aec6e, 0xfcd2c681, 0x47f3e547, 0xaf31a4d2, 0x9b611181, 0xd26d8520, 0x9e20ffcd,
+    0x2ba31803, 0x5618f9c5, 0x832954a1, 0xe533cc89, 0xa9c61f8a, 0x141ee9a9, 0x07be4556, 0xcc44b7d3,
+    0x3d75418a, 0xbcbf206d, 0xc57b2171, 0x5c32de7f, 0xe6d25767, 0xd011e79c, 0xabb0cbac, 0x646b9628,
+    0x0b0a8dc5, 0x241cc551, 0x938e7801, 0xfc18fff2, 0x56635a70, 0x85e9e1be, 0x0e1bdd7a, 0x7e1fe4be,
+    0x75c98287, 0x365b3f25, 0xa1dc0f94, 0x02fea10c, 0x897885de, 0x2de30aeb, 0x1cae78da, 0x59b0908a,
+    0x65127e36, 0x83834fd0, 0x9d0e0ba9, 0x4373fe75, 0xdf974b6b, 0x93403095, 0x7680874e, 0x12227a91,
+    0xd9231425, 0x2c0904a3, 0xa2822f28, 0x475199e5, 0x74bc2f7d, 0x631b21c4, 0x6fb3ef11, 0x2287aaeb,
+    0xb2f26e1c, 0x38f008d4, 0xe815865e, 0x8d273d9f, 0xba0cb79e, 0xf0ad28da, 0xd380d683, 0x4f46860d,
+    0xb0911ae1, 0x20fe5ff9, 0xa0048443, 0xe8f5ddec, 0xd528afb7, 0x1738e536, 0x0a58ee17, 0x1bc7c97f,
+    0xbed6bbe5, 0x183aaf11, 0x4e3dc74d, 0x80a1bace, 0x87f86445, 0xe0d550c7, 0x683f596a, 0xbcb942dd,
+    0xe65537c0, 0xbd201c92, 0xcdcadb61, 0xea4e5406, 0xf51b3047, 0x6c8a22f2, 0x9005e76d, 0xccb49092,
+    0x5838d404, 0xb06929d9, 0xb523e063, 0x8e0d37dc, 0x25b7712d, 0x84cb3fd0, 0x152488ca, 0x47cfcdfb,
+    0xaddceeda, 0x322849fa, 0x1628c438, 0x5dce46a3, 0x32287dec, 0xfa977899, 0x1c87ace6, 0xf7479df8,
+    0x9186bd11, 0x1d68fb5e, 0x9471e974, 0x1b896f93, 0xdf251f71, 0x61d2c507, 0xc755e708, 0x221cfdd5,
+    0x026adc4d, 0xec1c05f1, 0xdd713fcd, 0xab123732, 0xf2040c96, 0xecc26c27, 0xe953ee55, 0x97387efb,
+    0x9c8c418a, 0xb27523c1, 0x0acf0ce8, 0xe97b8f73, 0x3574eb7f, 0x2b0b21f5, 0xd47ff064, 0x042f595c,
+    0x15d6255c, 0x2045acbf, 0x9598303f, 0x825e3207, 0x17941e37, 0x55a3e7e8, 0xa91b7bf5, 0x7a04fb18,
+    0xd662c15f, 0xd9fbaa1b, 0x2b257cb5, 0x2ef34d59, 0xb4db3a8a, 0x7b824ce9, 0xd4f8baa5, 0xd2577ca8,
+    0x8ebfae2d, 0xee0b0d1e, 0xfae3f3ed, 0xa7108ef8, 0xa738598c, 0xa71e24c9, 0xef170706, 0x2ccbcb2d,
+    0xce79b51c, 0xf004a6ce, 0x586ce1d1, 0x35a0b251, 0x4d1030af, 0x5867df06, 0x62188e1a, 0x6d88366c,
+    0x8bbca0b5, 0x32824e1c, 0xf68b2519, 0x538c4dae, 0x62632e03, 0x71d5bd5e, 0x0ddccba3, 0xaeb010b5,
+    0xc630c14e, 0x9b4aa276, 0x724d3979, 0xc22672de, 0x5541adcf, 0xb3d20490, 0xa78d1125, 0x3a92b50f,
+    0xe5bb0a96, 0xce69605d, 0xda51e0d5, 0x7ac1e7f7, 0xeb78ecff, 0x9687d11a, 0xf38f022b, 0xffcba41a,
+    0x3a10ff16, 0x58bdb69e, 0x28fb9594, 0x26225441, 0x29f25a9f, 0x60020fd6, 0x659fc627, 0xefabf06e,
+    0x8c279efd, 0xba9ed15b, 0x6338bd6b, 0x5c5cb7be, 0xebc8050d, 0x251c4578, 0xab549241, 0x0ba7bc64,
+    0xd6793892, 0x4113aa5a, 0xfc17a8d7, 0xb4d70a62, 0xe11da6bc, 0xefda14cc, 0x2198c9d8, 0x9f24f1dd,
+    0xd862de27, 0x213e8fdf, 0x1e6f0be5, 0x653675a9, 0x82b662fc, 0x1e2baf60, 0x7e67e696, 0xdbc15238,
+    0xf68eb464, 0xb1a01687, 0x08c94d40, 0x44961003, 0x8d243d90, 0x7cebdd34, 0x9b72bb6e, 0xea8a018c,
+    0xd1137592, 0xb126e999, 0xf2b3586d, 0xc2aa775b, 0x7136fd41, 0x9b572940, 0x2d649a9c, 0xea5a2214,
+    0x26ff5654, 0x1faf8b3b, 0x3ed5be71, 0xbb7f7204, 0xc7ee0156, 0xb780b937, 0x7d6d0c4c, 0xa38392ee,
+    0x5b61e580, 0x21941872, 0x020cd726, 0xf5b04e28, 0x33838ec2, 0x1fc0b6cf, 0xe9ad834e, 0x2b5426a0,
+    0xfb8b565f, 0x3df59033, 0x6bf904ec, 0x2cbe8ead, 0x921259e3, 0x327317e3, 0x84f10252, 0x44f8dcdb,
+    0x6b127f06, 0x99bc0bfb, 0x6c55370d, 0x3786600f, 0x8056776d, 0xe6157651, 0x6d5a0ba3, 0x2adca66c,
+    0x72579af5, 0x835b287f, 0xb003d4b2, 0xb91e14b4, 0x3df43ed0, 0x3f25ebb6, 0xc4b0515a, 0x060710b0,
+    0x76faeda8, 0xa884b39d, 0x55e34293, 0x72ec3c36, 0x9f04e268, 0x9a5c9be4, 0x399f6764, 0x8dfc1435,
+    0xc121d174, 0x6e2c2d94, 0xf9c976e2, 0x40c586d8, 0x536f9c43, 0x72b9e518, 0x4e07479f, 0xb8c2938e,
+    0xde0f63a4, 0x41456381, 0xb54420e9, 0xe8f4eb3f, 0x0a75c36a, 0x2bca3cf0, 0xeda39708, 0xdafe1d54,
+    0x3a088704, 0xec9a729f, 0xfee35194, 0x7029f515, 0xe9baa263, 0x7dfe2e0e, 0x608fdc9f, 0xa8534e9d,
+    0x8dd342ef, 0x613d2796, 0x09227d66, 0xb0c744c6, 0x9d2cd176, 0x38904d56, 0xd6405e6b, 0x08253a67,
+    0xe5dc06fc, 0x4e7ebc2b, 0xb1ff0b3b, 0xb6a262e9, 0xb76f92cb, 0xa6693241, 0x03bf1021, 0xea156908,
+    0x3d6b61c2, 0x8f65657f, 0x0eff0cfb, 0xa8f4cbdb, 0x43234c6d, 0x694ebfa1, 0x0fbd19a1, 0x64e5a668,
+    0x6a1b7eb5, 0xcfa5c511, 0x8c051790, 0xa9071de1, 0x53d4b8b0, 0x31de6441, 0x54e422f2, 0xcddbb41e,
+    0xcf8e1dcf, 0x8a17d57f, 0xade3714a, 0x6911ff5c, 0x7e63144f, 0x56dbc3f3, 0x89e61869, 0x699b8f34,
+    0xd2b3bc11, 0xac4532f7, 0xd348e3e3, 0x3d4d7465, 0x09be5057, 0x78446712, 0xc4d1ffb9, 0x06c6954d,
+    0xf8537cd1, 0x0f807ab7, 0xb513129c, 0x7e49c8b1, 0xda385611, 0xfa66f6e9, 0x2e61ba10, 0xceb39a10,
+    0x8a63c2d6, 0x86fcf693, 0x9fdca3d5, 0xfc79c0e0, 0xe2016793, 0x5bd931ea, 0x5c0d97c6, 0x89c7d049,
+    0xa4fbdba2, 0x1d4d8a00, 0xaa76e478, 0x0afb93f8, 0x4f9d658b, 0x800de076, 0x2a75ee8f, 0x5197184b,
+    0xea59983c, 0x2586b7d5, 0x79406999, 0x20f9f5b7, 0x54845f65, 0x3b2dde3f, 0xd9b96b71, 0x58b48a33,
+    0x8e742fb9, 0xc5a9e6d9, 0x7e3988f6, 0xebfd79ea, 0x5517e5bd, 0x27f5ce00, 0x76c15f1f, 0x8622105c,
+    0xdc78be11, 0x2c063f58, 0x00a53c0c, 0x04b20fbf, 0xa7e9707c, 0x54d70e2d, 0xbb3a217d, 0x9ad21e40,
+    0xd3e0d593, 0xf72d7702, 0x311189d9, 0xf34dde0c, 0xeea0b92f, 0xf161c305, 0x86ba7a8e, 0x0c96beda,
+    0x76843b25, 0x1f66a325, 0xcbeb0116, 0xa6695249, 0xfc18259b, 0x7b586005, 0x56f2524a, 0xf3dac802,
+    0x8ba29031, 0x51b81726, 0xbc86c863, 0x8198872a, 0x523b0c23, 0x773140c5, 0x16343fd1, 0xeefeccb5,
+    0x815ae6ea, 0x133ff7a3, 0x908f8c67, 0xa30d86e4, 0x8e2dda0c, 0x5775cbd3, 0x640a65cc, 0x6387a15a,
+    0xb066ab6d, 0x638d20ec, 0x3de90832, 0x35a8665b, 0xeade7555, 0x32a4d427, 0x31a44619, 0x9b88d336,
+    0x73a1bbe8, 0x95c03bfc, 0x7cb89295, 0x3373ecd8, 0x1d9eb606, 0x27a7dabe, 0x8fcee4cc, 0x1e915b6b,
+    0xd5e74a65, 0x213e1030, 0xba64acbc, 0xb60f665a, 0xf055f450, 0xc248d689, 0x2ff26780, 0x9425a4e2,
+    0xcbd9b868, 0xa1c75f45, 0x5b6098a2, 0x232c061e, 0x7711c26b, 0x44f6cdf6, 0xc77f5997, 0x1941eee8,
+    0x79e48240, 0xab41c403, 0xf2dc1e7c, 0xf7c0e2a8, 0xa80152ab, 0x3d1ceec5, 0x00079c3f, 0x586896dd,
+    0xbc84eac2, 0xdc12cdbc, 0x16961e92, 0x587e917f, 0x32230cc4, 0xd1ada96a, 0x4921d277, 0xd3df1bc7,
+    0xe6ed277b, 0x214f0a28, 0x6248b020, 0x4498f2e3, 0xfb09ed87, 0x0ccf541b, 0x43254d0e, 0xad9f1a17,
+    0xa51401a2, 0xb733ef25, 0xd1d3e3e6, 0x350c542f, 0xb7b045a0, 0xef245c1e, 0x00d05204, 0x38c49f48,
+    0x226d18a1, 0xb4ed9f03, 0xd9e452b7, 0x38743f47, 0xd4986165, 0xed1006b7, 0x949b3ef7, 0x7251ad0f,
+    0x679e9d37, 0xd936d227, 0xab0b0c3b, 0x65f73610, 0x6c529742, 0x92ad025a, 0xa577aeef, 0x67c800cd,
+    0x7eb5b25f, 0xf72a9f4e, 0xa4def049, 0x75f08056, 0x03cb35ba, 0xe949be8e, 0x9949ed7a, 0x37324dd6,
+    0x5eca8f9c, 0xcd8d0c80, 0xf610c3b6, 0x9fe0793e, 0xe1aefe7e, 0x6a6e7f07, 0xa79d7ade, 0xb45b1362,
+    0x7f092e52, 0xafb2dcfe, 0x502ff4fc, 0x5e9a429a, 0xe41c5785, 0x9aaa79e8, 0xfdcdc847, 0xb03e46be,
+    0x3c4656a1, 0x9895cddd, 0x75db6961, 0xdf47bdc4, 0x20415a98, 0x6b28dbe9, 0x488a7147, 0x4584088d,
+    0xa2689b20, 0x4fdb8d48, 0xdbc91def, 0x2e9c9580, 0x1a50034d, 0x576df94a, 0x6daaa48a, 0xf6c03936,
+    0x6d4e4bd3, 0xe3de44bb, 0xe639a86a, 0x889106a4, 0x770626ca, 0xe9bfb2a5, 0x5c21ac98, 0x06609100,
+    0xc1894085, 0xe276a6e6, 0xc6899b94, 0x099abbf7, 0xe88f9185, 0x7b463bb1, 0x9f82633b, 0xa43c6baf,
+    0xef5f5ac5, 0x9d602bc1, 0xe2c06505, 0xf47e0fdf, 0xeba94300, 0x266e8baf, 0x195b1c00, 0x56d7089b,
+    0x6ec63ad0, 0x1b16752c, 0xf3ddea90, 0x4905329c, 0xb330e4f9, 0xdfd1e36c, 0x0615122c, 0x7026884e,
+    0xe684be2e, 0x1833791e, 0x0b6ae605, 0x8d05c933, 0x66d66511, 0x0f24821f, 0xb659c5ad, 0x5c21128e,
+    0x04383df1, 0x8d7b9269, 0x0b08ea1f, 0x23ec91c6, 0x8735f72d, 0x2ede2e3b, 0xb8921a2b, 0x782f586d,
+    0x36fc890d, 0x8049c52b, 0x0109d331, 0x61edfbb8, 0xd72d9bd4, 0x54e115dc, 0xaae73768, 0xbe95719c,
+    0x4f3f9fef, 0xd57b6696, 0x08e8d77f, 0xb57e7121, 0x02a906fc, 0xf4c520ba, 0xa8e7a8cc, 0xac492f1e,
+    0xd02b11cf, 0xf059174d, 0x70671e58, 0x4f11841a, 0x2a16a40d, 0x1dfe8f1e, 0x573d8009, 0xf257a767,
+    0x9b6cc8bb, 0xeb91e620, 0x740ef803, 0xb86216ba, 0xbf8b8f96, 0x5bedd81d, 0xba917ebe, 0x870f6b11,
+    0xab1fffa9, 0xeba3675c, 0x44ee690c, 0x37bbcfb5, 0x2faf554b, 0x4106e6db, 0xd9298cac, 0x845f2181,
+    0x79aeb07f, 0x3081e305, 0xb0c441fd, 0xe1d38abd, 0x7817ef9b, 0xaf2fbf52, 0x1c73caa3, 0x25c11a93,
+    0x78844174, 0x0a613a14, 0x3a32ac94, 0x355cf2fa, 0x22d2e264, 0x455b4e59, 0x8dfc1093, 0x61092d8a,
+    0x651db029, 0x2e99f6fd, 0x2cdfd890, 0xa88b9063, 0x7506f38e, 0x02ce4060, 0x8b27b1df, 0xf91cbb3b,
+    0x8b3d96a0, 0x9c94c009, 0x2a7d6fd3, 0x9bcd2a80, 0x26f01e78, 0x274394c5, 0x7b701272, 0xe1506040,
+    0xfb4dccc7, 0x4d447a68, 0x8168c5d9, 0x81e48331, 0xddff636e, 0x4d129030, 0x9b0b1286, 0x2c9be26d,
+    0xc21b4b9a, 0x5460cde3, 0x4ce5960e, 0x60c7b021, 0x3f896e87, 0x73412e2c, 0x8b9352e1, 0x9ee6d1cf,
+    0x8bd2e26c, 0x99db61fc, 0x101522ad, 0xcf095ab0, 0x771be27f, 0xfd5855e0, 0xc00e0313, 0x59848e2d,
+    0x276f3067, 0x29e8e45a, 0xdf4f71bf, 0x91b0c30c, 0xae96763f, 0x0c617a4a, 0x93e16768, 0x9b1b5a94,
+    0x284b9814, 0x6dec83c5, 0xe2fdb658, 0x39795e84, 0x4c7af35e, 0x7ad4397c, 0x5451d300, 0xc079b1ad,
+    0xb3e73b22, 0x5ac77a19, 0x08cf0d18, 0xe402543a, 0x16059b56, 0xcea543a1, 0x981cb5bf, 0xc01ef402,
+    0x2ab1f4ea, 0x27cb87b1, 0x8daee115, 0x379be6b7, 0xc4e05263, 0xa71d95ab, 0x91a709b7, 0x063422a4,
+    0x65b8e3bf, 0x3daee5e9, 0x378f4530, 0x8264de58, 0xcd75664b, 0xca097f9d, 0x71d7e839, 0x5597a995,
+    0x371b2635, 0xc8208385, 0xc13089e5, 0xcc007be3, 0x756d13d2, 0xf3801ec8, 0xe7b42569, 0xed62c30e,
+    0x0c84c437, 0x2ac392ea, 0xc5cf8adb, 0xe7c97262, 0x76db6121, 0x5d0864bc, 0x5956d1ae, 0xa35adf12,
+    0x99dc7ca4, 0x25e11179, 0x0d9d9a3c, 0x45694df6, 0xbf25c20c, 0xf6377974, 0xb9630904, 0x29b79c28,
+    0x6a423363, 0xd62dce5b, 0x38894261, 0x28f14f03, 0x09b15688, 0x6df488d8, 0xf91396f4, 0xc58dac82,
+    0x00000000,
+    0x23a80db5, 0x2c3da197, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000009444732965739290427392 */
+  { 0x00000000,
+    0xeaa6cc13, 0x963e7257, 0x74784b6b, 0x397c340c, 0xb052d77c, 0xfe1fddd6, 0xabd5e055, 0x7dbade58,
+    0x210ea47e, 0x97146a1e, 0xb46adac9, 0x934be10e, 0xf12891dc, 0x6e9bd61b, 0x3ecfd8db, 0x5968dd42,
+    0x89eb365f, 0x08b15635, 0xe84a911b, 0x298bdc4f, 0x79bdcb31, 0x21649e3d, 0xcf12e19a, 0x4d138db4,
+    0x4b64b42a, 0x7cb8c27f, 0x06eea25e, 0x825b6038, 0xcc52cff4, 0xf7dd4d4e, 0x524dd353, 0x5e104624,
+    0x4fa5c0c6, 0x1739dea5, 0x04eab302, 0xdf6a98f8, 0x57c1a03d, 0xb00a655b, 0xf44f7d68, 0xeb5d04ba,
+    0x6c96b634, 0xa09e5822, 0x788a5ed8, 0xc2128328, 0xedb19fec, 0x4df780b9, 0x2af397f7, 0x40ce4611,
+    0xb36d0bc5, 0x3de3cebc, 0xafd501dc, 0xefc64b24, 0xe4957a7d, 0x90633f2e, 0xa40f59af, 0x1ecc0edb,
+    0xe1e7d01c, 0x5446009c, 0x2af75cba, 0x56935c44, 0x20a6f9d6, 0xed8402d2, 0x66809590, 0x4c9d3eb3,
+    0x985702c0, 0x875abb82, 0xdaefe785, 0xab7a30fd, 0x007e3fba, 0x855d96bf, 0x02a5b529, 0x9dbdafcf,
+    0xa5e4a6b9, 0x73adbcbc, 0xd3bcc944, 0x62ac59f3, 0xcacf0ded, 0xfaa724b1, 0xb982036e, 0xe20adbf6,
+    0x0e1951ca, 0x576bb7b4, 0xa60e587c, 0xb5c259c5, 0x4a315441, 0x232cd3df, 0x707c760a, 0xff8a38bc,
+    0xc72803e7, 0xfd0a4b1b, 0xa8853b0a, 0x2cab191a, 0xa55ff47d, 0xcd83418a, 0xef4040b8, 0x1a60255b,
+    0xcc4be49e, 0xd1375931, 0x9ccb955a, 0x43f2342b, 0x00a0170b, 0xd63f192b, 0x1b96223d, 0x633b5a49,
+    0xd90728a1, 0x78ef3840, 0x03c10d03, 0x22e7d571, 0xfd86f88b, 0xdbbc07e0, 0x7c033433, 0x232a94c3,
+    0x4ab7aa37, 0x3cabca14, 0x5d1f573b, 0x12d613e5, 0x5eab6847, 0x77767f46, 0xda598359, 0x907f046c,
+    0xdb2d3fa2, 0x05ed509c, 0x93d78e2f, 0x5fe09f88, 0x2bb63b41, 0x915a8d68, 0xdbb2c1d3, 0x07d4c1a0,
+    0x24477a87, 0xfcf1f208, 0x20fb6668, 0x9fcbe6ca, 0x468657cc, 0x6abb4a72, 0x50aa79c2, 0x2623675e,
+    0xc4d32d26, 0x88b8b63a, 0x8794a1c4, 0x44eac8e3, 0xa57b8dec, 0x6267327c, 0x3512cccc, 0xf403e5b1,
+    0x3db8d3ed, 0xa6ef9821, 0xd97d19fd, 0xaefe75e3, 0x357ef7f4, 0xb57c640f, 0xf4373539, 0x71d1eeda,
+    0xfc113c1f, 0x7d5e4dcb, 0x6ecbf8f2, 0xf70eb1a3, 0x8d3b3624, 0xcce881da, 0x37b4546f, 0x91367f4d,
+    0x0ecc1044, 0xea923de5, 0x413011ed, 0x3327e040, 0x9157deaf, 0xabed93b2, 0xa56be380, 0xab6a4e0d,
+    0x9389ac21, 0xe5a9d4e0, 0xc80f0d24, 0xc56a18bf, 0xef6d7d1f, 0x269e1de7, 0x8b82da1b, 0xa91f3de6,
+    0xe494cf4e, 0xb859ad04, 0xc0f55541, 0x263574d9, 0x27bf973e, 0x555ed075, 0x87ab241f, 0xabfd70e4,
+    0x191ce3ce, 0xc431e51c, 0xd818af05, 0xa75eb0f8, 0xca857519, 0x559e6a94, 0xd7dd02e7, 0x05a5dfde,
+    0x72228e26, 0x7542c7ad, 0x4fff6f34, 0x96938cf4, 0x671c660e, 0x51acf26a, 0x38a0d9be, 0x47b77b09,
+    0x3d98a316, 0x027c2353, 0xf0b7c502, 0x52e8bb16, 0x6585b549, 0x18e6939c, 0x66427b7e, 0xc261a49f,
+    0x93c463d7, 0xb37ccc58, 0x2d8662de, 0xedfe4df7, 0xd2c09aef, 0xb857e309, 0xe909cdfe, 0x9e26ed4c,
+    0x52015acc, 0xa504fad3, 0x78e2ea28, 0xf975024a, 0x6b7be27c, 0x03f2f799, 0xc4c65189, 0x3e63ce73,
+    0x0075fad9, 0x49e04de3, 0x6b331ad2, 0xf766f912, 0xbc1c7eae, 0xf0b73d96, 0xf4ecfdc5, 0x6e5d6b50,
+    0xfc224a75, 0xb28e489c, 0xff915a6b, 0xf3d75cbb, 0x3b97182c, 0x564e262c, 0x62b14128, 0x09e46528,
+    0x27ee8578, 0x7435d4d8, 0xb6349024, 0xdeebb495, 0x478ea384, 0xb8592a9c, 0x5ba44992, 0xf61fd854,
+    0x7fcdf07e, 0x633b52bc, 0x8dfe3560, 0xf55bab51, 0x39ac199d, 0x2d8d6bfb, 0xabe1d7a3, 0x072a2af2,
+    0x6c8b6332, 0x47377a1a, 0x1be64141, 0x22a4b83c, 0x548a3a83, 0xa6552c83, 0x90c9547e, 0xe158beb2,
+    0xdd1961d0, 0x744f17dd, 0x2463c154, 0x24957ec4, 0xde823313, 0x0423f282, 0x7add5374, 0x945c2e85,
+    0xcca60d27, 0xf4dd6909, 0x59936074, 0xd7bd4b77, 0x4f938099, 0x1a6356b9, 0x0276bb41, 0x4a06d9c4,
+    0x3bcbe5cc, 0x1dbac548, 0xc9e2c606, 0x2b56fdfc, 0xa63fb433, 0xd505115a, 0x9eb671f5, 0xe7246aae,
+    0x33c7bb75, 0x22edc689, 0x248e770e, 0xb3556390, 0x75fff814, 0xa371a7ec, 0x5485714e, 0x509bfb85,
+    0xfbcb8b6e, 0x04a3855f, 0x0809e716, 0xfd9faf30, 0xef68f4d4, 0x43b53835, 0xb7aaf655, 0x9e048be4,
+    0xc0a90dad, 0x9d25f05c, 0x028ca92e, 0xd9a2c31f, 0x176d3d3e, 0x3581f534, 0x02762e03, 0x161ad312,
+    0xccb71e91, 0xd4d4bf0a, 0x8f59f56d, 0x5044c9de, 0xb464f7ad, 0xc0c1e18a, 0xf6b5e14d, 0xc3510fe1,
+    0x5f392db0, 0xadc8d0da, 0x0b9a8f0e, 0xcf2d1883, 0xa639b174, 0x5edbf92e, 0x02a4ebec, 0xf5c85f23,
+    0x5374f00a, 0x8141ef6e, 0x9e7486ff, 0x395f0d80, 0xf253c9d3, 0xbbe3358b, 0xda3885ed, 0xd255767c,
+    0xf95f78b6, 0xe8407912, 0x8930b80b, 0xa14d99a3, 0xb2db95a2, 0x68d214c1, 0xc144130d, 0xc2a4230e,
+    0x56caf695, 0xe8842de2, 0x4a4f64e0, 0x556e4b4b, 0x604f63d8, 0x73b39f8a, 0xe59e2568, 0xf75c309d,
+    0xadb8cc9b, 0xf7fb4756, 0xa0c86d46, 0xfb5a0cbd, 0x75804adf, 0x23b9c689, 0x0a41b521, 0xf5859cb0,
+    0xd44edc57, 0xa1c58afe, 0x3abcd240, 0x67fc313a, 0x08e68b15, 0x9cc9feba, 0xfca355fa, 0x5f82c706,
+    0xef740561, 0xc924475d, 0x08bceab8, 0x522360d3, 0x2969cb0e, 0xec4c9745, 0x5b08e065, 0xb9935536,
+    0x13851864, 0x00619fdd, 0xb29fa862, 0xb8bf5737, 0x8f3a9c34, 0x6ac19847, 0x208135f8, 0x598fcc6b,
+    0x46cb6889, 0x26e34834, 0x5043a8aa, 0xf4d040bf, 0x7c25b199, 0xddb33074, 0x4a28dac7, 0xeb7517da,
+    0xbfba2113, 0x8431a06e, 0x1452afe1, 0xf020aef0, 0xafc9aa0b, 0xc9bf8379, 0x271676cf, 0x6d1f162d,
+    0x905938c7, 0x3ab010e3, 0xd8198e5a, 0xca290c04, 0x4dbf7402, 0x152f6013, 0x9288bfa1, 0xc832aec5,
+    0x58345e67, 0x68b4d240, 0xcd7409d5, 0x2d68888d, 0x5d2c8bd4, 0xd3c6868e, 0xc550c197, 0x222b4d23,
+    0x76d4ee2b, 0x2eaf1f1a, 0xaf9fc7c2, 0xd194a2a8, 0xfc77aa9e, 0x28fdce44, 0x390b44c5, 0x955da18d,
+    0xf050149f, 0x574a876e, 0xbc13d4bf, 0xbcbd80cb, 0xfd002dd7, 0xbef9e117, 0xc0411543, 0x88950fa4,
+    0xf527ff75, 0x24bd0f60, 0x2cc2286e, 0x631b2452, 0x2d605284, 0x513670e6, 0xf315b92f, 0x849f60e8,
+    0x7ad89fa0, 0xcd281125, 0xdb8b0cab, 0xee5f9ad6, 0x5b309b25, 0xb60c18a1, 0xc0c3a41e, 0xe8aaf39e,
+    0x1941d4a8, 0xf8445a23, 0xa6ddcc09, 0x8eacace7, 0x6bd4aca5, 0xaf0eb359, 0x303259b3, 0xe559fe7f,
+    0xc61bc2cc, 0x58fd00f5, 0xfa188327, 0x35300f85, 0x63661f44, 0x239dd8f0, 0xb19a2fb1, 0x16fcb493,
+    0x42cc037d, 0x4ccc6c8e, 0xfafc3558, 0x1d5f1b84, 0xc67fac1a, 0x82aa38e0, 0x76d7f4a8, 0x70b062a2,
+    0x1ea725a3, 0x36483e21, 0xaa4c4733, 0xdeb182d0, 0xc3d8149d, 0x604ae118, 0xa302391c, 0x2991333e,
+    0x89233c04, 0xb5b9a680, 0xb5ffab50, 0x23340a64, 0x303d71ad, 0x81735281, 0x47b11dd8, 0x7e524e62,
+    0xce874c54, 0xd305b578, 0x09a3e757, 0xf77d58e4, 0xa8c0e680, 0xd825af09, 0xb7c24724, 0x400838ad,
+    0x73c1f72a, 0x06c68051, 0x21712304, 0x751f140e, 0xc0ae138b, 0x4d7c31bf, 0x76c7c1e9, 0x99db3e64,
+    0x61c5d421, 0xa02e3e7f, 0xf23fbe13, 0xf7d7e381, 0x1b5893d8, 0x8810e7e3, 0x1fc98019, 0x0ac4ffdf,
+    0x69272bb4, 0xcd7f267a, 0xdfb04b17, 0x7fe0779f, 0xc84eee90, 0x90cd4a2a, 0x47519112, 0x6639ed35,
+    0xd18d0a7d, 0x37c02fef, 0x8116be74, 0x8c69d756, 0x5cfd2bcd, 0x7f6ee187, 0xa862496f, 0x0947d08b,
+    0x197b9f83, 0x9d379924, 0x1b4f5e45, 0xe32d20cc, 0xfc7aefcb, 0x6d3c107f, 0xb5f5a516, 0x7b2089c0,
+    0x34ba3081, 0x9d84e20e, 0x7d78fe0f, 0xaf458d13, 0x24140591, 0x33890f4a, 0x930fb6aa, 0x21e90221,
+    0x63df8a01, 0x53339eee, 0x803c8e31, 0x4296ef2d, 0x95b60ecb, 0x2abd9e22, 0x23c2a8ad, 0x64ef18f1,
+    0x0aa697c4, 0x16c5bda6, 0x0052c55d, 0x99bf3a90, 0xe32f8420, 0x3b602133, 0xd28010ea, 0xd060bf10,
+    0x153253fc, 0xa184a5d4, 0x802771fe, 0xe2e0ed23, 0xf77f5818, 0xbae6f73a, 0x09c38617, 0x2c72b26c,
+    0xd2c375be, 0x1e75df06, 0x7b514804, 0xeac55d68, 0xb5654727, 0xf6401e29, 0x8c272197, 0x0877f094,
+    0x73173a7d, 0x2a69015a, 0xb917b6d3, 0x331fdf85, 0x13a14894, 0xa7219144, 0x97d38d07, 0x19a153e3,
+    0x5aa95eb9, 0x140f5231, 0x92ead90c, 0x49b8d85b, 0x9a62d02e, 0xfa51630a, 0x0b447383, 0xb40bad85,
+    0x464e903e, 0x23c3972d, 0x1cae82eb, 0x5ab86865, 0x1594b31e, 0x24595a62, 0x8f6fe8bb, 0x874581ef,
+    0x2d60c580, 0x46221a1f, 0x9f502595, 0xc05b7bb3, 0x3ed8fd68, 0x7a2fee82, 0xd6a434cc, 0xc2e9281c,
+    0x8164a142, 0xa09b53a0, 0x373491ec, 0xe955e7ee, 0x08e928d7, 0x40ea963f, 0x223ce90f, 0x469b008b,
+    0x3aa666b5, 0x5650325f, 0x710efc7e, 0xcc083480, 0xf4d8dc9b, 0x2b3691f1, 0xb16b2588, 0x5709bdbc,
+    0xfff421e6, 0x4f8af36d, 0xb183ca04, 0x867e7f07, 0x474a5aea, 0x2f1f52f6, 0x647fd18f, 0xbe823da1,
+    0x428fa22c, 0x05da52ae, 0xb24f8b6b, 0x1b0b8893, 0x028bc6fc, 0x6e2ff503, 0x663adf39, 0x3cdc7f7d,
+    0xf01f5ab9, 0xaae6ca19, 0x30616315, 0x3d2e74b5, 0xbc2d1e43, 0x8ce57228, 0xdb7318e4, 0x743a5f87,
+    0x492f588f, 0xde446a55, 0xb566cae6, 0xba4bb867, 0xe39011ce, 0x1ed98caf, 0xca76d70d, 0xfcd3f9ac,
+    0xdc3d7db9, 0x7d900b83, 0x46637353, 0xf3926dd7, 0x01384e19, 0x5a9029c2, 0x7e59b2b6, 0x679117ec,
+    0xd54a882a, 0x1e92a7db, 0xd036ad74, 0x5318b764, 0x702971a4, 0xe1758f32, 0xd6c72dd3, 0x1acfedc1,
+    0x47b75bae, 0xd1c5a8ed, 0x2ef0a803, 0x56ed746d, 0xbeb3c877, 0x487f71af, 0xedf74a85, 0x78f292cc,
+    0xfa240442, 0x68860339, 0x9662ba62, 0x0153e7ed, 0x7202029d, 0x64d7397b, 0x540d50b3, 0x92c7ce80,
+    0x70cf5b5c, 0x5e9bc2a2, 0xe93c5597, 0x8990a626, 0x484494da, 0x62c74668, 0x2be56440, 0xfb64d5cf,
+    0x65879bc1, 0xcf8ad94b, 0x3657447a, 0xdbd2ff8d, 0xb44170ec, 0xf66ab94e, 0x99f1aec0, 0xdf1e8c96,
+    0x40c00ac5, 0xb7d9de3e, 0x63d71040, 0xd33b5929, 0xc1153303, 0x696974e3, 0x40d61b10, 0xb6ffbfbb,
+    0x4f79a242, 0xd889596c, 0x43e129fa, 0xcd9af544, 0x1638650f, 0x46558757, 0x0218a77f, 0x7753bfa0,
+    0xe9456b03, 0xde79fe21, 0x73779b21, 0x4d6b322d, 0x80a5cf0e, 0xe89851d3, 0xb8c19db5, 0xb039984e,
+    0x69901c19, 0xf2230e9b, 0x23cd1b0a, 0x710a3826, 0xb7ef9719, 0x0ba818c1, 0x958eeb5f, 0xde3abbf8,
+    0x682520da, 0xb97cc2bb, 0xf3292ebd, 0xf6a393ab, 0x7b93bfa8, 0x2a6b1b24, 0x42fdbba1, 0x3de3392b,
+    0xa675193a, 0x1397d67c, 0x724aa8af, 0x18d12cd5, 0x1ddd54fc, 0x5795f8ad, 0x8cc059d0, 0x95cf9c12,
+    0x58bdba17, 0x46573f0f, 0x8dcce076, 0xa04c3e25, 0xff63ddc1, 0xa96961d2, 0xf2f5f59a, 0x7f59a2d8,
+    0x6160aafe, 0xef7f460c, 0xca40075a, 0x995bc904, 0x162915b2, 0xcb3ddd87, 0x414f7479, 0x5f489e52,
+    0x39194bff, 0xea448c2f, 0xd0c26a49, 0x5a545905, 0x0a79e31c, 0x19f34b43, 0x3af1f8d4, 0x276d68d8,
+    0x2ed4e379, 0xbb15a7cd, 0xae7c3b77, 0x3b933561, 0xbcf28148, 0xc9ea34e9, 0xf8d8fe31, 0x8fe50acf,
+    0xbb390765, 0xd5bbd080, 0x620c69fe, 0x882c3c3d, 0x9f5bc4a8, 0xeea6470e, 0x744efae9, 0x76fb0919,
+    0x99098239, 0x58276fe7, 0xd0e21b8c, 0x9ad4c7a9, 0xcb8182c1, 0xe589ada6, 0xc1c10a1d, 0xb7477c02,
+    0x7038776a, 0x057ba45c, 0x3a36351a, 0x3f3bbdaa, 0xbf24819d, 0xb61199f6, 0xf06b9102, 0xde166e83,
+    0x414dbee5, 0xc1dddef0, 0x6bcc52ca, 0xdf9a7d0c, 0xe2a6f49a, 0x497f54d9, 0x2b56d5b0, 0x5012c1fb,
+    0x0f752dac, 0x8872e3a2, 0x3dff10fb, 0xfdd64c76, 0xf8b7b2b0, 0x55058be6, 0xc396320c, 0x8ae6e082,
+    0xaed3e3fb, 0x95c7de5f, 0x348b1fe2, 0xcbc95d57, 0xf7857d43, 0xa3cc2217, 0x28d2914c, 0xa92b8856,
+    0xac2cbc8a, 0x0d1c836d, 0x240fd05f, 0x3aec9cc4, 0x7377495a, 0xbc7e07cd, 0xc1e34b7b, 0x652b97d3,
+    0x60df673e, 0xbc537e72, 0xee417e4e, 0x0e4e4f83, 0xb411439f, 0x9e4cec0b, 0x084bd3d0, 0x594c07b1,
+    0x125bd1f4, 0xe8bbb59c, 0x1861bd02, 0x24371b7b, 0x51ab9b52, 0xc898d0fd, 0x79d9d1c3, 0xbf2899a5,
+    0xe1eea1a6, 0x480b216d, 0x669ea53a, 0x65eb0b91, 0xf7e036c5, 0x8b56d821, 0x996565c3, 0x5712a267,
+    0xd4fc2c38, 0xe1b604e7, 0xc6e4b513, 0x2ae921af, 0xdbf89581, 0xc6c84332, 0xe61e67bf, 0x91768359,
+    0x5edfc597, 0xc3a7c3d6, 0x094dff3b, 0x0369becb, 0xd8f3775d, 0xb80ed66e, 0x015dba83, 0xabae4596,
+    0x8f900bbb, 0xe6b146dd, 0x1900490f, 0x6334f415, 0xdc612e3f, 0xba5c2b99, 0x424cb434, 0x6ec84efb,
+    0x061e6e57, 0x9fecf6e2, 0xe13e45f3, 0x33025fa9, 0x79554196, 0xb1a40c31, 0xec2dbc6a, 0x97fc066f,
+    0xd3c3742e, 0x66e1301d, 0xab241240, 0x2a3e9ccf, 0x54754e7d, 0xbbd78130, 0x98571049, 0x7f761eac,
+    0x121167ec, 0x6df07ebd, 0xe3af3ccd, 0x787b5b92, 0xd91fdde0, 0xdabe1fd3, 0xf05a487b, 0xcd15efd9,
+    0x7071c726, 0xaae5f8ac, 0x609a3298, 0xfed4164f, 0x3f1093f9, 0x84658cd1, 0x75d0caeb, 0xba3188bd,
+    0xefd98ee2, 0xf19475ee, 0xbb0fe41a, 0x2e08f481, 0xa87ca0ea, 0x2197325d, 0xd0674f85, 0x6a9bacf2,
+    0x73d4d86f, 0xfed7b500, 0x2ca7ae81, 0x0196dd7b, 0xb3290f16, 0x950b92bb, 0x9df2ffec, 0x831d2f1e,
+    0xf1a2f97b, 0x783e5edd, 0x67c69f21, 0x7a07e4ab, 0x3edecc03, 0xdaf9698a, 0x5e7cc163, 0x57e4cf88,
+    0xa1265fae, 0x719ab87a, 0xcdb55499, 0x869e9f67, 0x5315dc9e, 0x8445836a, 0x630f0baa, 0x2558f3a4,
+    0x5cf36fe6, 0xcf2440e2, 0x079a3e45, 0xfa21a242, 0xe13a8d18, 0xd58a8dd7, 0xc0468791, 0x37ae62d2,
+    0x854d8258, 0xc47fb472, 0x3f47b2a4, 0x7a4bba69, 0xc6c4c2f1, 0x7dbab206, 0x84e18ace, 0x18439fc8,
+    0xdc8d5bcc, 0xe6914c99, 0xf0495ee8, 0x29cc326f, 0x21498456, 0xfe6eef56, 0xb263bbcb, 0xf73c1570,
+    0xb14a41c7, 0x6ef8eb02, 0x8299abe3, 0xae37bfef, 0xd0b3ec31, 0xa221a02f, 0xfe433efe, 0x6505c71a,
+    0x9de5a22c, 0x717404ea, 0x5c5ab2ed, 0x9597a8c0, 0x2d87ae72, 0xd65d4ba0, 0xa269cf38, 0x895279b7,
+    0x48192398, 0xebcce62f, 0x0c6065e3, 0x54c69cec, 0xc5401cc2, 0x6cdf8820, 0xb99f35e1, 0x2655dd75,
+    0xe92a65bf, 0x674c3f9d, 0x003d5a41, 0xf01c0df6, 0xdcada68c, 0xb7463027, 0x7e31554e, 0x9f04b2da,
+    0x00000000,
+    0x91d406da, 0x961ed0cb, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000004722366482869645213696 */
+  { 0x00000000,
+    0xb0317120, 0x1ef47532, 0x18e44fae, 0xa9a798c7, 0x563a26ba, 0xe7d6aa72, 0xd7996975, 0xa64acf5d,
+    0x59e7e004, 0x896c523b, 0x58830061, 0xad1a5c67, 0x901e8d43, 0xe4b444bf, 0x59223230, 0x684b6e95,
+    0x9ab6d476, 0x519477f3, 0x70059853, 0xa343811f, 0x24feeabf, 0x28687268, 0x04acb9d1, 0xb3e34471,
+    0x3737db4e, 0x93df754e, 0x0ac9646b, 0x7e36f475, 0xab2fab9f, 0x389caa35, 0x2b86c0da, 0x7ed58d38,
+    0xf2ec454e, 0x1aa93862, 0x8617131d, 0xed88ca77, 0x1ab1ed34, 0xa451e97c, 0xcd983e8b, 0x6c35b874,
+    0x32190dc9, 0x5687af34, 0xc16a8440, 0x96fa8859, 0x164657d7, 0x2af11461, 0xf25ccbb9, 0xbdeeeb4d,
+    0x54586ddf, 0xd54d5bc3, 0x716dd886, 0x5a750f9e, 0x228265ed, 0xd900b40c, 0xe13d776b, 0x42233dbb,
+    0x74261246, 0xff869d2a, 0x1ef9c375, 0x825e2f69, 0xc99d6c01, 0x230b68a4, 0xa6cc9c34, 0xdedbfd6c,
+    0xb88d9bfb, 0xf811055a, 0x529c0e3f, 0x19e9672e, 0x74fbed85, 0x9f4c4e10, 0x252e02bf, 0xa4b3afb9,
+    0x41c10797, 0xd11fa426, 0x13f51015, 0x2047c2e6, 0xb0420f3d, 0xaa927fbc, 0xd82da17d, 0x9dc365dc,
+    0x9de19d07, 0x677195b5, 0x98a2dac8, 0x201fa7b3, 0xe7f9cc6a, 0x12b813a9, 0x5a0e3c58, 0x1eeeb06c,
+    0x0e081944, 0xcda5e128, 0x81212fcc, 0x65072c39, 0x22c4b964, 0x8920fa1d, 0xfc0828ab, 0xf0d9dc7b,
+    0xbb71b7a1, 0xda7f7f78, 0x05b8b8d3, 0x9fb18e67, 0xec6fe487, 0x50a637b4, 0x7cd4d07b, 0x4ec07ca4,
+    0x6dec11f1, 0xa25d7dc2, 0x40162fb3, 0xabca2954, 0xe8116c35, 0xd357c243, 0xaef3f753, 0xc972eec6,
+    0x6f20579f, 0x8ac50228, 0xc95f2b75, 0x45d9110c, 0x1db2dd34, 0xa71aa6f2, 0x997f33c4, 0x2c62f9cf,
+    0x949a7146, 0xdc8e48f2, 0xc86339fb, 0x12ec8476, 0x0435762d, 0x5140b3b9, 0x8fadc9d7, 0xa0c98a7b,
+    0x2686003b, 0x48aa6695, 0xa9cd36b2, 0x762af06e, 0xb494fa6a, 0x9c254beb, 0x19f9318a, 0x8a215bb4,
+    0xb03193f3, 0x0be8f788, 0x17e6f1f2, 0x679c4655, 0x93cd0cdb, 0xf6f374ac, 0xaaa80419, 0xfc26fbac,
+    0x79f18886, 0xa15ba6dc, 0x5b8c72a0, 0xd1f5c229, 0x8bfbe2c7, 0xef69bada, 0xb07b9b10, 0xefd1e4b4,
+    0x83625e3a, 0x422e28de, 0x212bbd14, 0x465a6c43, 0xe815f26d, 0x5655ab00, 0x88aeac28, 0x4e7e6156,
+    0xf0588224, 0xffd1ef73, 0x9e8801e4, 0x6d1d45bc, 0xb9488ecd, 0xed8acb00, 0x25f123da, 0xe1d65a4a,
+    0x66a09409, 0x88691637, 0xf00f1677, 0x6ec659e5, 0xb4ff9f74, 0x881ffa61, 0x3b522e6e, 0xaf00e4a6,
+    0xb51eae2a, 0xa2b283f9, 0x42fdfd38, 0x6f9015ff, 0x3537e23c, 0x6c790f4f, 0x0faf9c70, 0xab1cca1f,
+    0x0894aa07, 0x9804bfbf, 0x3a7a37fb, 0x11072247, 0xe4059546, 0x8873e3d7, 0x446849f2, 0xbe34334d,
+    0xff29ea16, 0xace1c97d, 0xd6e04cfe, 0x3bd0f3ba, 0xf98527b3, 0x4e02319c, 0xefe8386e, 0xa06a8b15,
+    0x75799d0b, 0xef26b3d3, 0x3a407d49, 0xe777e3ee, 0xe5bd1daf, 0xc12c7975, 0xb4183bde, 0xccd6b621,
+    0x7e050647, 0x48c4a175, 0xd13e1942, 0x3aaf8b45, 0x4ca9e331, 0x56400ec3, 0x00bfc751, 0x5fe0d5ec,
+    0x37e430b6, 0x0547ee85, 0x0a1ce879, 0x3df09f77, 0x3a70fd31, 0x6d328c9b, 0x884bd8de, 0xd101c207,
+    0x5459843e, 0x70a10066, 0x595aa760, 0x27c82892, 0xb8538eea, 0x22d89e78, 0xddfd9e1e, 0x7c87e3fd,
+    0x806dfabf, 0x1c9c5110, 0x713eddc5, 0x75ec70d9, 0xe5830725, 0x1f485d88, 0x11b9f658, 0x79e73ac1,
+    0xa3bd557c, 0x9af8133c, 0x56180707, 0x093ae3f6, 0x63ebdfd7, 0x46c7ca08, 0x3ee8f3d6, 0x16dd670a,
+    0x452d2bb6, 0x06dcf86a, 0x421cdcfd, 0x1779fd8f, 0x8170abdf, 0x8bf14c2c, 0xb7d6167a, 0x05516553,
+    0xaf65b5f8, 0x27726b1b, 0xc73d1f75, 0x6cd058e1, 0x16065652, 0xecb3d898, 0x54a17be6, 0xca996922,
+    0x24e60dfa, 0x6770ae66, 0xf794c0e4, 0x1a38040d, 0x6f4adeaa, 0x2ab1a67f, 0xd6e3803b, 0xc4689966,
+    0xe5d1461e, 0xe250996f, 0x29cdc07f, 0xc3763ff3, 0x4b9b9885, 0x8ae34976, 0x1ce0a2e4, 0x3562cf1c,
+    0x11c0802f, 0xe5da2aae, 0x40597655, 0x1d63ec1e, 0xb4dae276, 0x75406442, 0x4cbe49ed, 0x339676dc,
+    0xc6d5006d, 0x48d24dba, 0xe5386388, 0xdc68add9, 0x43259b2f, 0xd43613e7, 0x7d3844ef, 0xb53fbf1e,
+    0x2a77902d, 0x200ecf68, 0x02a0a709, 0x74ec7e29, 0x1f6b4cf0, 0x2bc0ac47, 0x9759fb63, 0xf72b4cfe,
+    0x9dc46e56, 0xaa11b5bb, 0x27d528da, 0x10b9b867, 0x31ba18d0, 0x1ee5622b, 0xc3510cae, 0xc85d67e8,
+    0x98e1d749, 0x86c8248d, 0xc67bcd92, 0x9cafc006, 0xa3f6043c, 0x55de2b47, 0xef6298e6, 0x1db68807,
+    0xea170e97, 0x8dadf62f, 0x74330409, 0xa30b3c0d, 0xd483069e, 0x138d5224, 0xea59d93b, 0xaec46a48,
+    0xa861c94a, 0x6536422c, 0x91e95853, 0x53c7ef16, 0x686223df, 0xf6cba861, 0x1ed3c0fa, 0x53239d43,
+    0x3f76e163, 0x5e95fea0, 0xcad0688d, 0xc5bcd405, 0x6a905423, 0xc75e3f45, 0x4634dd5f, 0xb875773f,
+    0xd8c46dd9, 0xa2db8b2d, 0xec7749e4, 0xfa2f67ad, 0xfb16b7fc, 0x41b4d8e3, 0x519970ee, 0x27a0706f,
+    0xdc70e770, 0x3249355b, 0xc5802644, 0x1f840a6c, 0x17646612, 0x639ff0d2, 0xcf2ab64d, 0xb27d8c1a,
+    0x474ab879, 0x57a696ff, 0x226c2079, 0xfe7c5bb5, 0x41a90711, 0x8a73ede1, 0x2f0d568d, 0x3a31f800,
+    0x41af7569, 0x39cd5c2e, 0xd18194b9, 0x22728169, 0xdad366c8, 0x4a41db93, 0x5d5e140b, 0xa3acef3f,
+    0x524500c7, 0x8039db06, 0x97f12872, 0xdfa178cd, 0x9c79a1c8, 0x0770e4d6, 0x90579f75, 0x72c14cc9,
+    0x6a9da411, 0xa00d4554, 0xe76ba355, 0xb25a0b74, 0xed9373ed, 0x8f1c9894, 0x8bee8529, 0x2e1b2f93,
+    0x2b9f7066, 0x03327ab0, 0x6154cd96, 0x1f51e7d3, 0x1ce519f9, 0x7336c304, 0x84bc691d, 0x23873df6,
+    0xadc94c19, 0xdfb678b6, 0xc1d6b4af, 0x11a537bd, 0xdba01dad, 0x17c22cf8, 0xcdd2f939, 0x9ed3a304,
+    0xf987332d, 0xb0f0269d, 0x21d090f5, 0x4d3a21ec, 0x940fb954, 0xdda83763, 0x90311715, 0xa30646ff,
+    0xbf774561, 0x916cf4cc, 0x00337a53, 0xb1357715, 0x88fdf46f, 0xb7de52cd, 0xe5d17ab4, 0xeedd494d,
+    0x6dd2af6e, 0x394c0253, 0x0f783e7b, 0x99eb26a9, 0x5b4e8d6a, 0x692e9583, 0xf5182b33, 0xfc29ccd8,
+    0x0bffbd07, 0xf640174a, 0xd53537d0, 0xc907968b, 0xc768b620, 0x134a7072, 0x05c34b7f, 0x2964e652,
+    0x869396ac, 0x645cd860, 0x895f87c6, 0x072789da, 0x5fbc9ed3, 0xece4c5da, 0x047a7dcb, 0x73379cbf,
+    0x0e98c842, 0x23958770, 0x9dc1e01e, 0x2d3049c3, 0x3801b575, 0x6d70aaad, 0x2b1c78f4, 0x09a8f101,
+    0x10fdb933, 0x97fe8aa7, 0x2fe7758f, 0xb09a3dba, 0xd69c364d, 0x56b2d9d4, 0x85c842cf, 0x306ee4dd,
+    0xc5abf3e5, 0x21a611d7, 0x37060b97, 0x3a9a1418, 0xcf2ba1b1, 0x01aa94cc, 0x3a36024e, 0xe2b8a7df,
+    0xa871be12, 0x7ccdaa39, 0x0a9c828b, 0x8d2d5ae6, 0x7c58edac, 0x08a7e060, 0x11d192ae, 0x3edf615a,
+    0x7b748150, 0x334a4e8d, 0xd9b86ee2, 0x2f11db81, 0x07e187ef, 0x7eec2fe9, 0xb264001b, 0xe65cf4ab,
+    0x406856c8, 0xe8536c92, 0x01856c7d, 0xf8b3ab9f, 0xf76713dc, 0x62bcaff5, 0xde921e40, 0x477d73bc,
+    0xb9b9be69, 0x0b1ebcea, 0x5593419f, 0x72eec1a6, 0x19b75fcb, 0x9a11c226, 0x2effa78b, 0xf52f3db7,
+    0x2630d11c, 0x28418d11, 0xc6fd6a36, 0x08d766e3, 0xf220f519, 0x7eb66179, 0x666e0bdd, 0x2e1bb1b4,
+    0x61160c66, 0x7c6b73d8, 0x283994ec, 0xaf6aac83, 0x81ecf395, 0x55bb7cd0, 0xe19def3b, 0xc521fc5f,
+    0x695d298d, 0x2c64a793, 0x3f589f87, 0xbbf0d005, 0xcba94d7f, 0x1cec98c7, 0x5ead2323, 0x625c087c,
+    0x879dec21, 0x46b55ef0, 0xe05d031d, 0x7cb88ac1, 0x5f9b39ef, 0xc6b155a2, 0x1999f407, 0xdba815c9,
+    0x78b21c4c, 0x6f1ea783, 0x9507a074, 0xa8079448, 0x4e336c5d, 0x65727dec, 0x621590d3, 0x2b0fc5a2,
+    0xd3d81168, 0x023f6386, 0x78aabc96, 0xb927dbe3, 0x1438d555, 0xf22c401a, 0x086e14db, 0x461e7535,
+    0x89355b17, 0x75e6e1d1, 0xee27550f, 0x53ce3c07, 0x7482853e, 0xf1a2caa9, 0xb2de6b86, 0x94bd6349,
+    0x4f3923e1, 0xddb297c1, 0x8a778ec5, 0x027301c4, 0x2e8bdc79, 0x9cf4bb72, 0x2daab954, 0x8daf6d54,
+    0x52b9c6dd, 0x9ba5645c, 0xf8a62c36, 0x9fd12bcf, 0x86218e2c, 0x184b205e, 0xad5033c3, 0x4420c6e6,
+    0xab8dcc01, 0xcf244f92, 0x745d2f03, 0x534e3bae, 0x6ebe59f2, 0x9730acc4, 0x0f857596, 0x7de455ad,
+    0x27715156, 0xd02d3d11, 0x6b1a4099, 0x43e44b53, 0xe6b0c548, 0xb835675e, 0x159b76db, 0x57321a05,
+    0x1e0ee3eb, 0xd8398805, 0x4abdf9da, 0x2d39d0de, 0xb2d5b5e8, 0xf19e3ed3, 0x874baad1, 0x5582cb57,
+    0x953b486c, 0x1112b583, 0x2c6f44b5, 0xabd8ff35, 0x023b7865, 0xcd9e96d6, 0x5ea927a3, 0x8e5ba89c,
+    0xf232aa41, 0x4c968ad0, 0x55bb3d8d, 0x5d7ecfa8, 0x38023331, 0xf7677a39, 0xaae4f398, 0xae70e53b,
+    0x48b7fb30, 0x5affa689, 0xe28d3c2f, 0x59ce9250, 0x30e77a2a, 0x98299336, 0xd8b4dafb, 0x9131a8b0,
+    0x52a81d4d, 0x4edec928, 0x44b42075, 0xf8b20fa7, 0x08987e3d, 0x21872480, 0x2d9a3444, 0x512d1370,
+    0x25ce674d, 0x04128405, 0x808f1158, 0x8bd3f836, 0x7b59496f, 0xd1d52a69, 0x34c86667, 0x9fbc9da2,
+    0xe398d95d, 0xe47ac49b, 0x353ff891, 0x25899879, 0x348fd812, 0x1963491e, 0x7e503164, 0x2c1c6154,
+    0x6de7aef5, 0x6a32408a, 0x42f2cd5a, 0xa67ee956, 0x23a10b32, 0x7fbae8ca, 0xf8b7eaf1, 0x1f74d689,
+    0x957cc9be, 0x30e639e6, 0x77a2574f, 0x517dadf3, 0x1c2dc07e, 0x78ccb06a, 0x31ac1cde, 0xb3aa0b50,
+    0x58d58b84, 0x1a401ece, 0x6669f456, 0x6fee847e, 0xe47b7c41, 0x6c82da0d, 0x84fa70ef, 0x634c3564,
+    0xf9452594, 0x82835fc2, 0x9ea8de88, 0x26d7c372, 0xd8863c63, 0x00b6cb83, 0x33dcbe09, 0x9e7183d1,
+    0xd964135e, 0x09f9a689, 0x7f991d5e, 0x40013c47, 0x2583a347, 0x8abdf454, 0x952ccfad, 0x55dd9d4a,
+    0x6cfd8fee, 0x3507a2fa, 0x750f9445, 0x0ae23c82, 0x0f4d9c1f, 0xca0d0a99, 0xd5b9d880, 0x667dad13,
+    0x413336d4, 0x6099d523, 0x5ffe697b, 0xa413b4b3, 0x3aa2a734, 0x45c4efdc, 0x0a2e33d4, 0x75407f54,
+    0x1707268c, 0x1fc4f376, 0x8d80a63e, 0x28102d20, 0x9a1999a2, 0xce3f9030, 0xc9b58a06, 0x8105e0f6,
+    0x79054740, 0xe1b77f33, 0xd32416ec, 0x6fc64fba, 0x146950dd, 0x068b633b, 0x9cfaa24f, 0x00c752f4,
+    0xb6e4e336, 0xf22d972f, 0x382d8929, 0x7aa97bbc, 0x44f79158, 0xd0650d87, 0xe9c4a1d3, 0x8249ced3,
+    0x8ee51c31, 0x8d3d01e0, 0x13ef37dc, 0x4a99f3b1, 0x84d89626, 0x3ffcec6c, 0xe87dfd96, 0x826661ce,
+    0xfe740b79, 0xebf27ac3, 0x21eb0968, 0xe8b2d56f, 0xdd4ef786, 0x042dd0ea, 0xe179d82c, 0x1d638581,
+    0x4b39a111, 0x5d02f867, 0x5209a61a, 0x0f0946da, 0x814f80e6, 0xe53a052e, 0x0a09d33e, 0x5f1daaa8,
+    0xa70ffb79, 0x353ca97e, 0x7438dd5b, 0x44650a13, 0x5b9fcfdf, 0xbd484d96, 0xb3c86051, 0xd52fb444,
+    0x2ed0a1a6, 0xc69218da, 0x895233a5, 0x677d2c49, 0xbd4d3fb4, 0xaa8e4df3, 0x2130ee49, 0xf334e021,
+    0xd1016d30, 0x6a86f1cb, 0x03a4df63, 0x44f6969f, 0xf286bcc4, 0x5df78bbe, 0x2bafd895, 0xf99cb1ee,
+    0x86895fdc, 0xaba559ca, 0xbb3bb420, 0x83b43ce2, 0xcf6960d2, 0xdcf0779f, 0x98e4106a, 0x75135542,
+    0xd64ad803, 0xf911a343, 0x10a6561e, 0xa7d11c73, 0xf83ec5d1, 0x05890ae9, 0xd6ee9431, 0x6fa90035,
+    0xf5ffbd0f, 0x95c16e80, 0xa79d7c2e, 0x0aeec36a, 0x0d6ebaac, 0x54cd98f1, 0xfe2bbca8, 0x18081306,
+    0x997dcd45, 0x390bb1d1, 0x84a47191, 0xc4149505, 0x6cbcfbdd, 0x08b0f795, 0xa7cdce92, 0x420c8dc0,
+    0xab0d896b, 0xe833c08b, 0x901e0054, 0x2789e36a, 0x75fda074, 0xe5da2d11, 0xcf16f559, 0xef5c989a,
+    0x32131c51, 0x5260ea29, 0xbef335ca, 0xe9568f60, 0x57925213, 0xd7d3e4c7, 0x10269b05, 0x7deb22a6,
+    0x9a7d6eef, 0x082e2173, 0x2f2d6350, 0x8cec57f8, 0xfc1f99b1, 0x2c9ceb0b, 0x2ae61154, 0x4ba39c89,
+    0xc2e1fde4, 0xe512968b, 0x047c35c8, 0x9aed72c2, 0x30156623, 0x389a0db7, 0x38fa810a, 0xb4d774d5,
+    0xf11a00df, 0x4c005e5a, 0xeaebc825, 0xdcd40961, 0x36632db5, 0x17c36afb, 0x6f7cc43d, 0x0c70f402,
+    0x00214b6d, 0x0f395454, 0xf748713b, 0xd4ffc729, 0x4f20b3e0, 0x8bfdb321, 0x5e4fb873, 0xfac57164,
+    0xbc24caa5, 0xa82aa875, 0xd248c294, 0x21e0032d, 0x88dfd739, 0x4d923e97, 0x81eee4c5, 0x1dda55d1,
+    0x6f1c7546, 0xb0d4b016, 0xf04f9cc7, 0x188e2dc0, 0xc4ccfab7, 0xf693f5f3, 0x100327df, 0xd48c3479,
+    0x4478c123, 0x8aec5d8e, 0x97065463, 0x07a7bcce, 0xfc55028c, 0xaf779ea2, 0x31dd63ef, 0xad113f05,
+    0x172c850c, 0x2a62b8f5, 0xcc913be4, 0x6567e185, 0xf6a10a0e, 0xa5cee558, 0x015a091e, 0x651f3484,
+    0xea6a5bb6, 0x50b0b48e, 0x47929097, 0xd0fc3823, 0xc2c7eede, 0x5a0527fe, 0xa4cb4979, 0x192080ce,
+    0x9c7edd3a, 0x1875df71, 0x2e8b9412, 0x214c1ed7, 0x33b4888c, 0x64eb171d, 0x1678826f, 0x42e2127a,
+    0x6599a9c0, 0xc6c88ef9, 0xa48864c5, 0xbde444d9, 0x80ede8a2, 0xdff6a6ee, 0x96e351d6, 0xa0e838dd,
+    0x0c97b3bd, 0x16a3e36c, 0xce4daeb3, 0x4a524ce9, 0xe712cbb9, 0x54ba0046, 0x432d1814, 0xd8a042d0,
+    0xd422cc2e, 0xe0c261fc, 0x5e945957, 0x0993b5bf, 0x0221c40e, 0x2e19d84b, 0xf828e45a, 0x5e98626b,
+    0xa08c4bc9, 0xa1648e29, 0xec27f50f, 0x9da5a7e0, 0xd85701c4, 0xcb10b263, 0x1a02aabe, 0x7ebe244f,
+    0x7eb0c9f9, 0x47bab7c3, 0x736581b3, 0x5fd538d4, 0x78814ab6, 0x2d948770, 0xb4d4008e, 0x3f384b60,
+    0x40a8d4a1, 0x228e37f7, 0xf6cab9a2, 0x288d12a0, 0x5ba7661d, 0x0c798f52, 0x62f8fbda, 0xdba21294,
+    0xe7f801fb, 0xa4565c07, 0x3d38c633, 0x6d310565, 0x1f763c61, 0x3cb376ef, 0x40ad03bd, 0x16ac3325,
+    0xfc69676e, 0x6f82305a, 0x93125e4e, 0x7a7d584c, 0x4a97cea2, 0x7d375ee6, 0x521cb435, 0xa0d33348,
+    0xa5132b07, 0xf6178287, 0x2b81cb02, 0xee09940a, 0x0b78b205, 0x30034d31, 0x79cff4c7, 0xc7dba659,
+    0xa8fb6d66, 0x7f9bb1db, 0x91ca33c0, 0xf4315bcc, 0x778b2a20, 0x41405a57, 0xb8a47de9, 0x39635384,
+    0x847ce878, 0xe98dd93d, 0x9b8b7269, 0x68c5f6b6, 0x8b91a62a, 0x96c683a7, 0xe4fbfcfb, 0xed3ddb0c,
+    0x709f4a81, 0x9849ec99, 0x966755ab, 0x1247ef26, 0x10d9758a, 0xd32e338f, 0x2c49432b, 0x8094521e,
+    0x2317d236, 0xb90d12f7, 0x10288c0a, 0xc738acb0, 0x1884d66a, 0xac68cf58, 0x7890d3a2, 0xc9c39362,
+    0x00000000,
+    0xc8ea036c, 0xcb0f6865, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000002361183241434822606848 */
+  { 0x00000000,
+    0x31cfbacf, 0x253dbc19, 0x0a70c5b7, 0xa2ce6b3d, 0xf461b943, 0xad7a36e4, 0x29cf6b68, 0x217b3ea0,
+    0x64653463, 0xc80b00d9, 0x47617281, 0x033cc75e, 0xafacd685, 0x9f50f9ba, 0xd11e5b3f, 0xb7175859,
+    0x623f14c1, 0x437b5ef8, 0x4fb31e44, 0x26b99e4c, 0x55e790d9, 0x0c6b6b3f, 0x2e50f4a8, 0xa9d9d9b7,
+    0xf7d682e4, 0xd5af95a9, 0xbd87369c, 0xff7ace3d, 0x1557d02d, 0x764f5273, 0x4198af66, 0x17d83d2d,
+    0x7eaa94d5, 0xcbe7dbf0, 0x02f797a9, 0xfbf0f4cb, 0x5368b337, 0xd3f6bd55, 0xc71546ee, 0x779ce781,
+    0x2ab614a4, 0x684c99af, 0xd9eba7cd, 0xc3ce1b8b, 0xc245a1ec, 0x449595df, 0x5ee53d58, 0x67100635,
+    0x17ab0242, 0x7386529d, 0x3a642094, 0xf0b8a9a7, 0x77188ab7, 0xa60ec69d, 0xd99ad7ef, 0x1c4c9b49,
+    0x423a05c2, 0xeba53ae5, 0x13521ed2, 0xd0abe2d9, 0x0857cc93, 0xa236c687, 0xf18ed567, 0x964d0eb5,
+    0xf01fac33, 0x09e103fd, 0xd8039430, 0x563c9955, 0x920f0786, 0xc1adcd1b, 0x7044b427, 0x42e17fc8,
+    0x4e0b2642, 0x19b120a7, 0xa37245af, 0x80c72148, 0x6e9f2911, 0x88e3705d, 0xae4e9837, 0xe09378a4,
+    0xa4062419, 0x819a5ebb, 0x4faaf9ec, 0x37be5924, 0xd246e2bf, 0x335b16e2, 0xce2ab0cd, 0xd23cc2cc,
+    0x80bfeaf8, 0x76f16fb8, 0x4b7efba6, 0x99fa3d9e, 0x17a1a126, 0x347f4e63, 0xdb13f249, 0x3cfb9f38,
+    0x0440c447, 0x2b53f6c2, 0x66099452, 0xd7401dd1, 0x14d016a1, 0xe462f149, 0xd2db09b6, 0xfbf5792a,
+    0x9c53a084, 0xff13270f, 0x57b76069, 0xaddbe543, 0x8ff3c4e2, 0x9e4861c7, 0xdfc5e4e5, 0x65c26e9e,
+    0x57f6d649, 0x1a2a96da, 0xc6c9bc37, 0xde4bad46, 0x400b8de4, 0x355a5990, 0xef2ec66b, 0x8cf060f2,
+    0x268f5675, 0xd5f33a06, 0x54b28ce1, 0x8b754790, 0x3e01ff17, 0x093de31f, 0xa2a20905, 0x62de1647,
+    0xa1d9124a, 0x153e2c79, 0x33aef5ef, 0xfaf6ef24, 0x17200e60, 0xb65998d3, 0x7d0e05e8, 0x398ffee3,
+    0xa093e2a1, 0x60ca3f5c, 0x45336056, 0x81138241, 0x9b4769a3, 0xd9cd11c7, 0x0c0e5f5f, 0x87bd4d1d,
+    0x45d53e04, 0xbe978f64, 0xcb5278af, 0x5c7ef608, 0xda1c1c8a, 0x637b1f25, 0x86a1a1a3, 0x342f9304,
+    0xfcd42f90, 0xce6fefba, 0x8d742cd5, 0x39e85ecc, 0xbac8514c, 0x584b0b10, 0xb3e5bd38, 0x63eff0b4,
+    0x15a1cf8d, 0x8ce1f016, 0xd1debd46, 0x3b29950d, 0x9254e54e, 0xd55ae770, 0xe75b7f8a, 0x53133563,
+    0xc12ca111, 0x42040865, 0x906e619c, 0xb3e35e89, 0xc97e8174, 0x6f20d0f9, 0xe69e2078, 0x5738e47a,
+    0x609f657a, 0x38e5b30c, 0xf8710615, 0x77e26a54, 0x8e117b59, 0xd969bf79, 0x4724ade0, 0x45e88071,
+    0xcf9b09b5, 0xc5ebbe5c, 0x64ba2364, 0x95e9b73f, 0x8bbe8c89, 0x4702e5bb, 0xe2590dd0, 0x3a380d6d,
+    0x5e850eeb, 0x165d9a8b, 0x8e99e151, 0x2eda7fb0, 0xdfb05df8, 0xc42f7c09, 0xa2c9de94, 0xe67a484c,
+    0xcb7dacda, 0x3026996b, 0x4234309e, 0x8736838b, 0xfa55807b, 0x8c849439, 0xe8420d2a, 0x9467f92c,
+    0xc7770980, 0xfd0fa738, 0x403f2f57, 0x0c7d9dda, 0x62bff879, 0x33d6f35a, 0x09f11851, 0xc67526d7,
+    0x1991698a, 0x11ca7507, 0x8cfe13c0, 0x44ada829, 0x8548eda1, 0x99edc0d9, 0x414ee3f8, 0xa20064a0,
+    0xfdb87c36, 0x84eb627f, 0x2d018ab0, 0xc57f378b, 0x21283c48, 0x11159372, 0x15c40f09, 0x23c756ce,
+    0x0220df35, 0x50d8386d, 0xe0084d42, 0xc662745c, 0xaec505ee, 0x6e152e7c, 0x959f4210, 0x1b51fc3e,
+    0xf4377c1e, 0x581c5335, 0x4935a258, 0x7cdd4cbf, 0x6e3ef6a8, 0x8d93db17, 0xef7a7f69, 0xfe71fbe0,
+    0x94f99ecc, 0x2295cf49, 0x938d809b, 0x80faebea, 0x7225374b, 0x6b4264f6, 0xd81a47e1, 0xef2138f6,
+    0xf57751d5, 0x097d7a38, 0x395ff3e6, 0xbca939fe, 0xc057e3bc, 0xff9c3354, 0x943eef40, 0x8010102a,
+    0xc5f8f86c, 0xffdb0b8c, 0x5c3b5732, 0x7432b417, 0x5c2ff464, 0x301b817b, 0xa200cecc, 0xf7d358d0,
+    0x72017a8e, 0x7904f196, 0xf71f1ba8, 0x788a02d5, 0xb6ff1ea5, 0x67051b2f, 0x3189ab6e, 0x519f08ca,
+    0xb1d83586, 0xee81c481, 0x5eb5e277, 0xca4adb70, 0x4b420abd, 0xd6c679ce, 0xcb80ed7a, 0x652fcc19,
+    0xa3ceda29, 0xf03742d3, 0x96513cf8, 0x21c492a2, 0x5d3ddb0a, 0x27c4d7f8, 0x097851d4, 0x9fc08a9a,
+    0x9b622891, 0x04ec9ce9, 0xa6f8e84c, 0xaafd05b1, 0xcedd8687, 0x69b47b92, 0x1da3e4ca, 0x56e23bfb,
+    0x7e61250a, 0x7d8da1ae, 0x698ccd26, 0xc6ac4f17, 0xaf7c6922, 0x7e719863, 0xb3bc4053, 0xe0dce592,
+    0x2ce930dc, 0xcc4c4f09, 0xb49dbdc4, 0xace40142, 0x1148569f, 0x1146a97a, 0xbffe3b2f, 0xc5b16dfd,
+    0x1e2af632, 0xf75441fd, 0x5656c237, 0xbc0e67b0, 0xaec642ef, 0x5bbf2e9d, 0x60fad13d, 0xdd28cb72,
+    0x38cc9440, 0x86ffb533, 0x213156ca, 0xb1fc3c77, 0x32da4746, 0x1a87a78e, 0x94b909c7, 0x68e911a2,
+    0x4da2b980, 0x2275e0c3, 0x74e2aa33, 0x27866282, 0xb6a48d6d, 0x3ddbc2ac, 0x23f272e4, 0xff1c1403,
+    0xd0ccabc5, 0x03b104d0, 0x25dc43fd, 0x587378ad, 0xce0753c7, 0xdf7980f9, 0x8b5d0538, 0x45796250,
+    0x659ba60b, 0x7e837c3d, 0x39c36f3e, 0x2dac1b40, 0x2c11118d, 0xf9e124b3, 0x424f7f2c, 0xe52a3460,
+    0x6de7e9b6, 0x1ef626a7, 0x066f3956, 0x627cdf0e, 0x72893b72, 0xf32749fb, 0xa7dd5b67, 0xc38ac1ca,
+    0xb113d631, 0x8c2df9e5, 0x4a5de3a3, 0x9da02c65, 0x27e434b4, 0x51cefc9c, 0x0244fef1, 0x66a17363,
+    0x15b21020, 0x7869beee, 0xe66725d0, 0x0e270bf6, 0xa1f2e8b2, 0x75d942d1, 0x23a98ea6, 0xa5988cd4,
+    0x2e13d746, 0x27f8d69d, 0xe509c01e, 0x1fad2606, 0x978e3b84, 0x7c264e8b, 0x289451de, 0x35372f6c,
+    0xe698fe8f, 0x24c437d7, 0xd9933a91, 0x88760473, 0xdbd1dd78, 0xbbf62fb6, 0x41bef341, 0xe0b6b547,
+    0x072b322c, 0x95caebac, 0xa6fc1d4f, 0xa7e53e4c, 0xa19565ce, 0x1756fad2, 0x48436660, 0xfaaa79dc,
+    0x7587415d, 0x22d3852a, 0xbd2db99d, 0x8fb70040, 0x9bd9b28a, 0x51e9bbc7, 0xf55f1442, 0xd8ed3997,
+    0x64a88492, 0xac182d09, 0x7377d9fb, 0x87868946, 0x821988b6, 0xe4fb316f, 0xcb096a57, 0xd850c4e3,
+    0xd3eb2ee9, 0x6bd55cce, 0x04883578, 0x8f913efd, 0x97bec42a, 0x16000755, 0xdd52bcf0, 0x8245f5c1,
+    0x26dbebf0, 0xb4e92bf1, 0x07852654, 0xe4e8c30a, 0x8c8818c1, 0x1bcd38ba, 0xb885496d, 0x407d9335,
+    0xaf1a6592, 0x9b83b3df, 0x1af61c1f, 0x9fa75866, 0x81a051a7, 0x44f2fb4d, 0xcad52e9e, 0x61bb85c7,
+    0xa77b4a39, 0x6fea3892, 0x412c02ff, 0xfee3a5cf, 0x19c8927d, 0xc2ba4173, 0xec3292a2, 0x96339bb3,
+    0x173032f5, 0x58b61a51, 0x4461791d, 0xa577db3f, 0xe338903d, 0xb873cf7a, 0x4094d595, 0x3f80dfcf,
+    0x4bb00b6c, 0x096c4e8c, 0xe8ed9fab, 0xe4acfcc6, 0x48ec163a, 0xa03c1dfe, 0x8c08c037, 0xa24974c5,
+    0xac1876b7, 0xe577af23, 0xbae75d8f, 0xeaa3eefe, 0xe67e01c5, 0x6db52ace, 0x10b96fed, 0x82d6f6b2,
+    0x12389f70, 0x4609ffb1, 0xaeecf1a1, 0xd2df4c62, 0x0024a5ff, 0x1222b858, 0xe0c0b963, 0x3395066b,
+    0xf9ef1150, 0x205ea945, 0x5a326100, 0x9e77148b, 0x02d50509, 0x165c9c70, 0x51e3e4bd, 0xacb72f8a,
+    0x75588b40, 0xa1fa63e2, 0x303ac878, 0x51906f00, 0xa6b8e9be, 0x91b17d8e, 0xd876029a, 0xebc3b6e8,
+    0xf56bdd7e, 0x421011da, 0xf23a7299, 0x5af96677, 0xe5692045, 0x332d4fad, 0x703bc0c3, 0x26c9b110,
+    0x5e99462e, 0x100e1e9c, 0x5b994514, 0xca5fad16, 0xe34ea9be, 0x0484e63e, 0x83e5b349, 0x5291bba2,
+    0x7f0c28ab, 0x47c605dc, 0x5a2b4358, 0xf6c76a65, 0x882c7da8, 0xa7217baf, 0x7df68c44, 0xffebc1a1,
+    0x2e79cbe2, 0xb47286c8, 0x012a09af, 0x0ddb2e0d, 0x5836b873, 0xb55999a5, 0xf44d2ac5, 0x2e66ca25,
+    0xef9e27fd, 0x033e669a, 0x402c4428, 0x7bac91ca, 0x67b72d58, 0x6149b1f6, 0xdc2d0832, 0x06b955b9,
+    0x7e92e56c, 0x87464c8d, 0x32e30cfb, 0xcb644cf8, 0xcd0d44cf, 0x6cf81b20, 0xa9f07612, 0xc9387cdf,
+    0xfdd9e86d, 0xef2e74a3, 0x19d03d4a, 0xd41d2073, 0xf62d44d9, 0x2d21fde4, 0x5892bac0, 0x2b8c34ff,
+    0xff33d66f, 0x0112c23d, 0xe40b85c0, 0xb53d538d, 0xa160c7d7, 0xfa8a0ace, 0xa07b793a, 0x664ad4d3,
+    0xb8eceb4a, 0xef89fdc3, 0xf179527f, 0x911d9644, 0xb39ef46d, 0xd2032b51, 0xa3f07d38, 0x33633c76,
+    0x01efc291, 0x4356a96d, 0x50eb8004, 0x0efe863b, 0x452e8bb2, 0xcffdce49, 0xff9df1ca, 0x5756830a,
+    0x7c9b9554, 0x1a2ef35d, 0x8411e7a7, 0x3721a138, 0xa0bc20c6, 0x6e216b5b, 0x28468e30, 0x34e6da95,
+    0x0c139180, 0xbd70b515, 0x0718f465, 0xfe0df8c9, 0x264d120d, 0x2818003b, 0xbdced07b, 0x394a5289,
+    0x6b1eb0ab, 0x68013e73, 0xf6a33309, 0x6957c398, 0xcbee84d1, 0x5edbdb8d, 0x63fba3a4, 0x2bf38d8d,
+    0xf263b635, 0x6e4c98f2, 0x6c35374b, 0xa856cdc6, 0xff66d945, 0xe7cc069a, 0xa568d115, 0x3be34549,
+    0x943451df, 0x33e7733f, 0x8e500202, 0x89a5191f, 0xf906f645, 0x40500a78, 0x1a4b664f, 0xbad1b5ed,
+    0xb7af6fb1, 0xcbe6bb7d, 0x356b67c3, 0xa2e61c99, 0xc2451bf6, 0xa8c592eb, 0x63326536, 0xf5e41510,
+    0x52cfbe09, 0x0281f5af, 0xa65c0467, 0x51175fec, 0xef9bea46, 0xd8bb2771, 0xad0203e1, 0xb4a0f746,
+    0x54e63560, 0x71733ecf, 0x46687741, 0x65750768, 0x4295ae6b, 0x5be3628c, 0x35af6262, 0x8a656761,
+    0x385a90ba, 0x6b7ed6bf, 0x733cf141, 0x705cfe10, 0x3cdeeb30, 0xad789516, 0xc9de4e22, 0x25df09e6,
+    0x778694df, 0x40ad0b20, 0x5be5465a, 0x4c142b3a, 0xc5df1ef4, 0x03c2bffb, 0xa6514e85, 0x169185fb,
+    0xb466160d, 0x75f8fe9a, 0x288c03a9, 0xdbd88162, 0x6eb43aef, 0x166f4045, 0x14685f48, 0x6c8901a7,
+    0x6035653c, 0x6f3fb6cf, 0x5cccceb0, 0x41a14d40, 0x25fea009, 0x624d1d9b, 0x810576a3, 0x5debee0b,
+    0x65c18a11, 0x7d8b9a65, 0x7300780b, 0x84cd4bcf, 0x8718c73b, 0xdae953ad, 0x7facd498, 0x034848a4,
+    0x1be48775, 0xd0a5e992, 0xd95ef18d, 0x9e05f4f8, 0xbb891a9a, 0x455c0eed, 0xd2b5715f, 0x994d4800,
+    0xd51af23c, 0x25f50d07, 0x5d8ba188, 0x9d6590e3, 0x2c6a3091, 0xfb8682b6, 0x2c696e9f, 0x7528193a,
+    0xd4205ed2, 0xc3cdf170, 0xc9f324bd, 0x39c12580, 0xca5ab373, 0xe17c72c4, 0xe82829a1, 0x29fe3422,
+    0x8102a2e3, 0xaa1e745b, 0x2b3393f8, 0x08251b77, 0x6d305e9f, 0xc3c8cfbd, 0x9e78c898, 0x070d2db8,
+    0xb986f91b, 0x428045bb, 0x4d6d2d70, 0x6a14e020, 0x08ce9210, 0x6ba362b9, 0x427a6f24, 0xa947df5e,
+    0x4d721731, 0xc291b4ab, 0x19009992, 0xe17e2450, 0x51bf3295, 0x545ea292, 0x7144787a, 0x54264783,
+    0xa15392da, 0x816607bb, 0xe0a58c78, 0x9a382fd6, 0x00dda196, 0x4c2bc623, 0x10603009, 0x774104b5,
+    0xa15cf74c, 0x1b4348c1, 0xe5b20e77, 0x3c201509, 0x2aff92cd, 0x3f256745, 0xf6a9da52, 0x7a9fe2ee,
+    0x06d44483, 0xc57543ad, 0x09d61d64, 0xc9d139a6, 0xae1008b6, 0xcdb5c06f, 0x2e0883f5, 0x0cd8ff26,
+    0xb0bcd2ab, 0x9f5ea4ac, 0x11bb447a, 0x24eed7e0, 0xcf344136, 0xdee6c7d7, 0xed262dd4, 0x3c4da5b0,
+    0x484ae497, 0xce429532, 0xa78ff36c, 0xf9a53ecb, 0xbc254fdc, 0xb03fe7b7, 0x6bd7018e, 0xf8ad0d6e,
+    0x8ab7dbb5, 0x98abcf45, 0x77998561, 0xf7b0a75f, 0x2adcdee0, 0x1f18a497, 0xeb558c89, 0xf2f30af4,
+    0x21a6bdfe, 0x0e5b9e10, 0x12ab04ed, 0xbc1ea299, 0x98e27946, 0x76c277d5, 0x9daf3f5f, 0xc38d82ac,
+    0x2929db7e, 0x28337c01, 0xe4c45091, 0x52e143a9, 0x851e6ce9, 0xab094676, 0x27b96e2f, 0x2019df26,
+    0xd4e48380, 0x006afd99, 0x05102d39, 0x2b503c74, 0x17c4307e, 0xee8bbd1b, 0x79af7ec9, 0x7f74131e,
+    0xa087c2a1, 0x4529817b, 0x36980d54, 0xe3b397d9, 0x415f0026, 0x9cb73b35, 0xb763701c, 0x81728d5b,
+    0x7702c0b8, 0x40aed424, 0x750d671c, 0xf430c362, 0xedfa0553, 0x1e5845ab, 0x4cb2c337, 0xa5bf70e4,
+    0xf666642c, 0x101e1346, 0x1e728a30, 0x5f48d102, 0xb0b6b460, 0x0882754e, 0xa88b60da, 0xd9669a9e,
+    0x9b451e24, 0xa5f8c0b0, 0xf947d431, 0x671cffc7, 0x9caf37a0, 0x4bd10ac9, 0x343b7c82, 0x89284af0,
+    0xd0f35de5, 0x6b8767a1, 0x8654c36a, 0xb85e3d72, 0x30c862d3, 0xd716adbd, 0xd6fd69da, 0x210a4dc3,
+    0x6d6b2cf5, 0x00524d8f, 0x0b5ea2a0, 0x86c0fea1, 0x649a8004, 0x28157def, 0x18beb0ee, 0x08539a0f,
+    0xcedf8106, 0x3a7df99c, 0x37ad2a85, 0xb91c75c1, 0x04d362e2, 0xe6ae58be, 0x768e3302, 0x2cd53e18,
+    0xe4eaa114, 0xe552c2f4, 0x0cd12683, 0xd8012f7c, 0x695c0f27, 0xcb1d1224, 0x3d82ec0b, 0xc83d38c7,
+    0xd60ec5c0, 0x4d50b05e, 0x296946ba, 0x2873cbe3, 0xeb56a77c, 0xabe7b94b, 0xb87adc0b, 0x78c00773,
+    0xa81fe696, 0x89d62c4f, 0x3dda1379, 0xddddd7d1, 0xc76673c6, 0x5fa16908, 0xe2ebaca9, 0xa7353d61,
+    0xfb3106a6, 0xedb3e8f0, 0x6478fbb4, 0xaddeba4b, 0x4dd3b06f, 0xb1d493e5, 0xb69c51a9, 0xa4c8647d,
+    0xe2c842b2, 0xfd16f734, 0x707c8f61, 0x3f6aec30, 0xb5aba547, 0x81345851, 0xa9cdf1ec, 0x6f70095a,
+    0x060e6e7e, 0x27ece229, 0x885651db, 0xd0fcd3ae, 0x674c4e85, 0xca22275d, 0xdb20e425, 0x751efecd,
+    0xc1667fc9, 0xcfa023c7, 0xbd88ad50, 0xb1297b43, 0x5197d42f, 0x41ce8ad6, 0x1e67945a, 0x40bb6963,
+    0x52612daa, 0x0d9f3ee1, 0x2d72729f, 0x7eae0050, 0xb242ee7f, 0xb6df8e25, 0xc873b3fe, 0xb70652ce,
+    0x0f34a6c6, 0x8078f728, 0x5faa70ff, 0xed7376a2, 0x45b4fadf, 0x58d768a1, 0xdede93c8, 0x6a6fa10e,
+    0x264425aa, 0x3fb96711, 0x74cdb71d, 0x06cfc92c, 0xface3c19, 0xc413a4de, 0x16f8caed, 0x7ba2cd86,
+    0x8d2c6804, 0xf329574a, 0xe3eee8df, 0x69a6a8dd, 0xf3525f0f, 0x1c533d74, 0xa51adf1d, 0x60044252,
+    0x4036595d, 0x324ec25d, 0x282c8170, 0x93609797, 0x9a648a8b, 0xcda0a99e, 0xa10dcda0, 0x20fb93ce,
+    0x5b4e8399, 0x16d557b9, 0xf5607f24, 0xec40f261, 0x55f2bc8d, 0x07ad579e, 0x2b785ac6, 0xc2d638e0,
+    0xe38cace9, 0x11c82b7b, 0x68f87f39, 0x4e9581a8, 0x96bd5b1a, 0x3c0ef2af, 0xf4770d34, 0x07d8b055,
+    0xb2c72081, 0x7d379f9e, 0xc9a8fef7, 0xb1b8dd2c, 0xad16b495, 0xc4adb2ee, 0x37197e95, 0x17b71dd2,
+    0xb763eae0, 0x0c7c661a, 0xc680f1fd, 0x792f07b4, 0x35db3145, 0x8c22d1d5, 0xd6fa4cd7, 0x4db1d9b1,
+    0x0b5105ac, 0x119035c8, 0xc447fd0a, 0xd7933128, 0x66e03b93, 0x8e2d94dc, 0xddf6b07b, 0xae78a4ef,
+    0x0dcba7e5, 0x32555568, 0x6c0c2728, 0x5d1d9bd4, 0xcabc975e, 0x89b7b7c1, 0xa0e3f0d0, 0xe3451397,
+    0x00000000,
+    0xe47501b5, 0x6587b432, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000001180591620717411303424 */
+  { 0x00000000,
+    0x593e2e92, 0x43db4f45, 0xf596a1e9, 0x3c3e7070, 0x1574e6c6, 0x6264cb9c, 0xeac55036, 0x85be78fc,
+    0x8cdab229, 0xe405e883, 0x81cdade7, 0xb09a41ec, 0x98d38792, 0x6b7d4cf8, 0x3a292bf0, 0x09d25e28,
+    0x64696ccc, 0x7f3c4556, 0x4212f411, 0x1eb03b54, 0x50042522, 0x3b05c910, 0x6cb02535, 0xa0a476c2,
+    0x3a43ccf5, 0x6426099c, 0xcc0c191f, 0xe9ca4e4b, 0x67577b61, 0x2596e39a, 0x31d0d75f, 0x43fcadca,
+    0xa9bb09c7, 0x38017d50, 0x0347ddb1, 0x4c70c519, 0xe7820736, 0x34d68db9, 0x7a010ac8, 0xf5d2cb7a,
+    0x500fcaac, 0x0fb58fd0, 0x6f90c0a3, 0x00146e65, 0xe962150a, 0x70e5fc6b, 0x4e63e51e, 0x11e69354,
+    0x9789de8c, 0xd01cb941, 0x6fc7bdc2, 0xf02e3000, 0x2cfec5f0, 0x81162260, 0xd7d3a20d, 0x4545d8b1,
+    0x13806885, 0x6c166999, 0x6ee0f087, 0xfc34a295, 0x76c8601c, 0x715d7ae0, 0xd7fddb5d, 0xe9da5034,
+    0x7ace9a8a, 0x1e2396ca, 0x3376f49e, 0xae11e0bc, 0x24b3ccd2, 0x332acda9, 0xfc6f1c47, 0xf3aeb0d6,
+    0x825603bd, 0xab4fd4c8, 0xd6ba34e9, 0x39b6afaf, 0x25fccf94, 0x298c1128, 0x3261caa2, 0x771c0f4a,
+    0x377eb3f2, 0xe3cd36b5, 0x303a0d79, 0xdbd6c4e7, 0xd9c7c910, 0x684720d8, 0x39e490c9, 0x3d7bd901,
+    0xcd0675b6, 0x49640c15, 0x12e4e4bb, 0xe4dcd5a2, 0xcb39ebef, 0x80deaf48, 0x22868188, 0xf991e116,
+    0x5d505a61, 0x6f869925, 0xc400b43c, 0x21ca507a, 0x6b20bcfc, 0xfdc94012, 0x9d377792, 0xc12ee908,
+    0xc611995b, 0x8ae5b8a5, 0xd69de17f, 0xcf84c775, 0xcd38eca8, 0x647282c0, 0xdcbfd79b, 0x755105f8,
+    0xb7fa46e1, 0x6498a8a5, 0xbd34ba54, 0x0aab218e, 0x254b4255, 0x7c07b993, 0x47f2c12d, 0xad2fb506,
+    0x607d6e29, 0x768de443, 0x66c76f5b, 0x89d2849c, 0xf7683f0a, 0x5a26adfa, 0x37cee904, 0x8edf9f93,
+    0xf1bec23d, 0xe8d963be, 0x51263257, 0x9cd888f3, 0x6ddd52c2, 0xd7b2861e, 0xb63cbbdb, 0x160a3b10,
+    0x73760a55, 0xb7aa2fd1, 0x323e7653, 0xe894ef61, 0xcb753f88, 0xc091595f, 0x2a577ac0, 0xa67304f2,
+    0x3b179153, 0xbfc8c902, 0xbd3fe8b7, 0x4ae8a6ca, 0x62302af8, 0x2f6ef4cd, 0xa74b926e, 0x6d45e859,
+    0xe77bf08a, 0x42ba1796, 0x7667420d, 0x09fb4e60, 0xabec4944, 0xbc91dcbb, 0x5d3d021f, 0x6d83ce9c,
+    0xa1e6d71c, 0xfb1b4fbd, 0xfbf2a21c, 0xd076eb78, 0xbbeb8270, 0x84264ef9, 0xe76dd956, 0x0034ed82,
+    0xa18ac90a, 0x1cb6c283, 0x5fb4e20f, 0xab3bf5bc, 0xb44dba0b, 0xb058ed94, 0x35ac014f, 0x269c4625,
+    0x19388457, 0xa8fa7722, 0x82f1a3e9, 0x2fcdd276, 0x562eca46, 0xc0fa7ddc, 0xfd25f5eb, 0xe1eed98b,
+    0xd97d1b28, 0x5d9375f5, 0x8453e72c, 0xa50a6eda, 0x25ab065e, 0x57dbc55d, 0x619bcd30, 0x738886e7,
+    0x58045507, 0xd64fe90e, 0x9cdc6b45, 0x14a6763f, 0x576f3b73, 0x1c2ad6fe, 0x3eeaa3e5, 0xc282be19,
+    0xe6cbc565, 0x745b4092, 0x9f75599f, 0x5d15645b, 0x08b6d9d7, 0xc4985669, 0x43224ceb, 0x8a18e950,
+    0x013eb327, 0x6b196be2, 0xa5e6caad, 0xbca3962b, 0x56cde39f, 0xc2f400d5, 0x3301033d, 0x77c60e1f,
+    0x6c298ddb, 0x9280ec44, 0xca417c7a, 0x76b8981f, 0xfc26caba, 0x03f3615b, 0x4b1b0a17, 0x041109e4,
+    0xe8cff222, 0xbeae75ac, 0xf1f8219f, 0x27a68649, 0xe754575f, 0x302ef5d5, 0x0082f08b, 0x9ed23f16,
+    0x46ac9800, 0x3f966bcd, 0x839de42f, 0x4f6c8958, 0x8d5a5ba4, 0x5809a53b, 0xf94d32a1, 0x95ad2abc,
+    0x1a9271f2, 0xfbadc746, 0x5f58d58f, 0x1a01543f, 0xc21b2d40, 0xb565ea69, 0x7d4f16ae, 0xe1d3bb93,
+    0x6a42b30a, 0x746208e3, 0xbd0e2865, 0xf38281af, 0x21e81a92, 0xda402fdd, 0x6f69771e, 0xef55094f,
+    0x0bbdcb12, 0x18f63dc0, 0x3de706eb, 0x27bc5f15, 0x81f3eeb5, 0x4b2a3de2, 0x86a9d1c4, 0xa7afff6d,
+    0x64847f22, 0x1c6922c5, 0xf2c100d3, 0xfc772313, 0xf2744c5a, 0x1e3b1050, 0xde27103c, 0xb1a7f359,
+    0x5effafa0, 0xa87103e0, 0xfec36293, 0xa4951b9a, 0xf7a12ff9, 0x44f76125, 0x85e46b7a, 0x8534992e,
+    0xa076c3a7, 0x0e3782e2, 0x41c9962f, 0x662c6952, 0x854df8de, 0x07bf191d, 0xdf436ada, 0x26d29c57,
+    0x66905db1, 0x7a362fe6, 0x5715b44f, 0x5c24f248, 0x3898005e, 0x6b2197fc, 0x89522608, 0x62a99609,
+    0x6793406f, 0x46d50356, 0xaa6f187b, 0x60ba82dd, 0x2f769062, 0x47bc54e6, 0xbb97c578, 0xfb3d5ca2,
+    0xd43cce76, 0x125d9203, 0x3efcf1b7, 0xe880681c, 0x2b6381a7, 0x48a320f4, 0xbf8b3ffc, 0xb2a483de,
+    0x5c1a42b1, 0x4906e178, 0xa42d7567, 0x27ff4505, 0x8670bb6b, 0x551e7595, 0x8887f08a, 0xd23edb4f,
+    0xa749d20c, 0xb95d7540, 0xffcbc5a0, 0x3c263307, 0x8f31ed15, 0x20557d03, 0x6c7cc1aa, 0x597b7f16,
+    0x09ebb2f0, 0x4c6b49e6, 0x49d457ee, 0xf13a3047, 0x88013525, 0x0bfd7a02, 0xf9802b71, 0x43ce86c0,
+    0x94c55b07, 0xa3687862, 0x42d9acc4, 0xbd005a29, 0xcb35519f, 0x25ef8a4b, 0x51a55c43, 0xe2da1968,
+    0x1b6b8601, 0xecec4de6, 0x432c7e25, 0xf139ed2e, 0xa11cff9d, 0x1a72923c, 0xc95adc44, 0x4a0222f9,
+    0x799dab51, 0xcc36c36b, 0x9606bae6, 0x8bb8328a, 0x0c42bbfa, 0xd92a0f07, 0x137ea0c5, 0xac1af15c,
+    0x70d3713e, 0xeef36543, 0x5291b000, 0xb234e854, 0x7ba6e63a, 0xa6db47fb, 0xd10bd321, 0x411d1fa8,
+    0x8e9bf2c0, 0x11eeb658, 0x135d2392, 0x882895ee, 0xd4fa82f4, 0x583fa5c2, 0x23962deb, 0x53147b9e,
+    0x815d91a8, 0x2c168a54, 0x13042c8c, 0x411c99f5, 0xa7bb9d20, 0x4bdfab95, 0xe1f8bebf, 0x2c993b36,
+    0x84b49353, 0x304f1e1d, 0xb2ed670e, 0x0a7f2f6d, 0xfeeb742a, 0xd4892375, 0x369bdcbe, 0x50e34a5a,
+    0x642497e4, 0xbba3eaf0, 0xccb785e2, 0x189f8bc5, 0x99f88c42, 0x0f423a0b, 0x5a24eb52, 0x36e8c642,
+    0x894d5a76, 0x8f7a0e54, 0x53297e3e, 0x208d792f, 0x06bec687, 0xf3087d1c, 0x069c357f, 0x8522784c,
+    0xb3825fc8, 0xeb07e040, 0x0e2bc98a, 0x798a7cd3, 0x289b6f4f, 0x8074c2c2, 0x15302b6e, 0xe401967f,
+    0xf5066a89, 0x57b7f77b, 0x096b561a, 0x10fd3964, 0xbc2384ae, 0xa671bd98, 0x9ef0c7b6, 0x337a6e12,
+    0xb9c1b330, 0x108225b8, 0xee36dee4, 0x18630b79, 0xcaff0cfa, 0x080be438, 0x2b6e5c1a, 0x682e7e04,
+    0x2f21ba1a, 0xd2ffcbea, 0xf5d63cfe, 0xcf3ba183, 0x9494c0f0, 0x4f8be8ae, 0x3ef960bc, 0x5e70d7dc,
+    0x699436d0, 0x96202dfc, 0xf28bd362, 0x86c556e8, 0x500671fe, 0xf2ece15e, 0xc9a9ef1f, 0xb80a8719,
+    0xd4b04c32, 0xa1c0e950, 0xc41009aa, 0x416e67c1, 0xa8213876, 0xa309ceab, 0x4241b650, 0x9f6ede14,
+    0x696792d3, 0x92f6d197, 0xadc115c1, 0x932550e5, 0x919cf0b1, 0x54018f28, 0x9ca6a5fe, 0xac50f47d,
+    0xfc189218, 0x71b17587, 0xa3feed73, 0xeef6ed11, 0x97a9b20c, 0x66419517, 0x6e8cac2f, 0x168abfce,
+    0x053cc69d, 0x5e1d02a5, 0x4199876c, 0x979d5d81, 0x93225b99, 0xf037135d, 0x375b2138, 0x8e83166c,
+    0x8be2c02d, 0x5171f2cf, 0x68d86d7b, 0x3b8d4c87, 0xa698e5c2, 0xe03e2074, 0xaa744f77, 0xb6e40480,
+    0x56af60c1, 0xbe84c009, 0x15fa94e8, 0x416226d1, 0x753f5620, 0x1b4ade4c, 0xf7c4abdd, 0x0aac7503,
+    0xdd0aced7, 0xc472f911, 0x67c34e15, 0xf3c47ad2, 0x3d17de6b, 0xbcbe4758, 0x07812f83, 0x26f2536b,
+    0x08dbf3a6, 0xc315e7f8, 0x63583d8d, 0xb8afb229, 0x2835ff7d, 0x23e4c308, 0x00973b13, 0xea2d218a,
+    0xa16bcaa9, 0x15b8539a, 0x462d62f4, 0x0e9ff401, 0x83b4e5c0, 0x33043169, 0x70081dd8, 0x9f91aa65,
+    0x85c5d7ca, 0xcda0e4f8, 0x224a4aaa, 0xc021c18f, 0xc823adf2, 0xdac89e8e, 0x7db34c6e, 0x249eb752,
+    0xefad6210, 0xc2f8eebc, 0x61489129, 0x4c117688, 0x1fa1d77c, 0xec9271a6, 0xaf878da3, 0xeb4bb225,
+    0x650cf8fb, 0x35de7d1a, 0x27e97eb8, 0x49a7c956, 0xe142b066, 0x8d5ccd22, 0x56eb96df, 0xb9ba3afe,
+    0x7151a296, 0x30c7abb7, 0x9abf57bd, 0x37d08a8e, 0xb501755d, 0xb76531ee, 0x94dda21d, 0x2047005e,
+    0xdd5b1be5, 0x8eca8824, 0xdb500b77, 0xf66d1440, 0xb59a0a9b, 0x9d2d21e6, 0x8a55e68f, 0xadb4d5e7,
+    0x2d9fd261, 0xaa368e2d, 0x7b186469, 0xeae8d262, 0x7548f386, 0x648184c6, 0x1db181b9, 0xc492da1b,
+    0xedabcd92, 0xd9fc8569, 0x308907cd, 0x3638de09, 0x2d26a8f0, 0xf6053d9f, 0xb4fba822, 0xe873f510,
+    0x507e148c, 0xb6c54aa1, 0x8bfd5476, 0xb3fa024a, 0xda22e012, 0xef379a3a, 0xdbb95c02, 0x33617982,
+    0xd8a8923d, 0x71228e35, 0xa9c37866, 0x995f59d2, 0xa2bd7315, 0xd6e704ee, 0xb3072f6a, 0x5f449dbe,
+    0x4a2284f1, 0x299f4d06, 0x5f5e9d48, 0x7f9fa943, 0x77d1ed59, 0x49b7db01, 0xf524d7df, 0xe4135366,
+    0x1f32623a, 0x61048d45, 0xc4728280, 0x86ffb331, 0x3e0df8bd, 0xe5eb5954, 0x94308e8a, 0x5a0631e1,
+    0x7ce0723a, 0xe412567c, 0x14cce7c9, 0xa1167a62, 0xe5833086, 0xcd15857a, 0xa79017e5, 0x338c569f,
+    0x1634f701, 0x98154bfc, 0x62f0af78, 0xe87cd16d, 0x1e01ac37, 0xbd638441, 0xa40ff44a, 0x161d5e2a,
+    0x6df1484c, 0xb7453af4, 0x43dcfc23, 0xabf63f5c, 0xb229cd2c, 0xb565879e, 0x8a31305d, 0xa0e23882,
+    0x3e9be8c9, 0x7adee0f9, 0x6fdf3835, 0x6af31cd4, 0x9e590247, 0x9cdc4d98, 0x2b8090a9, 0x0db6995f,
+    0xea16d67d, 0x6d3bed2e, 0x10a880a6, 0x99aaefbe, 0x6ddaa83d, 0xec9e14e6, 0x9d5c26fe, 0xb672ab28,
+    0x95028b71, 0xe85ed8f5, 0x9598a85f, 0x4c9579c1, 0x50503efd, 0x6ce0aa73, 0x54898835, 0x8f8a9944,
+    0x63b6c220, 0x7e003cb7, 0xc3818ff0, 0x352d3dd0, 0x4cca1314, 0xb4cdc7f3, 0xe36b4ac4, 0x5c9c51ef,
+    0xf638b1b2, 0xc3e36e9c, 0xb62ad09b, 0x46423ebc, 0xcdecc45d, 0xc5e34077, 0x7cf9951e, 0x06ba7616,
+    0xcb511c2d, 0x0a038f3e, 0xee625725, 0x523ef55c, 0xf6352532, 0x1c171d44, 0x253fe6cc, 0x639c5906,
+    0xd133ae0e, 0xd0d1ea03, 0x3dd4e9c8, 0x8706050f, 0x91886ced, 0x75b0b35a, 0x4e5fdb28, 0x20c3bf2b,
+    0x3b490050, 0x10d5b2bd, 0x4ddb7992, 0x086a49b4, 0xe56a6645, 0x271636af, 0xe8abbc79, 0x35ad6a8b,
+    0x27598e24, 0xd7607476, 0x1e0d1c66, 0xb92d44c3, 0xfb690590, 0x696cbd16, 0xdd8b618f, 0x98dc0e8d,
+    0xf7f51311, 0xc4f7d5d3, 0xa4ce9c70, 0x0c03b534, 0xa4305806, 0x1f27c21c, 0xc12c6e21, 0x44b3fe4b,
+    0x7939db79, 0x56446eea, 0xa27710c6, 0x7444825b, 0x1d2e767d, 0xacae8409, 0xbbf80a78, 0x28d4b52b,
+    0x2db0f9d7, 0xa14a18a8, 0xb75e7f7e, 0x13d3b19c, 0x79913992, 0x1e7590f6, 0x432fecc3, 0xcf4ec360,
+    0xfd59c335, 0x6406f3a4, 0x617da7ec, 0xe6db7aeb, 0x0f918a46, 0xc0379d5d, 0xf097d69f, 0xba1977e4,
+    0x13a0872b, 0xfb0700c3, 0xc6f255f9, 0x2f74c730, 0xd8cf85fc, 0xfeb41c21, 0x04070b13, 0x5a15ab67,
+    0x36481763, 0x805f9ef0, 0x7f3e0ce1, 0xb216b383, 0x57cbae15, 0xb54bced9, 0x556f7c1f, 0x8c674fc2,
+    0x71d6a9a1, 0x1425419c, 0xfd3f5af1, 0xbd4f3dec, 0x8fc6ea97, 0x6255437b, 0x8bc1b594, 0x167dc5e2,
+    0xda143fd2, 0x71297e11, 0xf2ce1040, 0x5a674ce7, 0xf6c3262c, 0x6823db9e, 0x6b8838cb, 0x1557b72e,
+    0x0116aa95, 0x33377946, 0x81509adc, 0x33a07d13, 0x6b145b3c, 0x54c0cce7, 0x3dc33cee, 0xdd5cc258,
+    0x1150b100, 0x90b0c0b3, 0xbf372c8b, 0xf2b8796f, 0xc7199c77, 0x13f76735, 0x93bc5fd1, 0x658df3b8,
+    0xeb583433, 0x54f63b08, 0x92880935, 0x8f30bf60, 0x6d449e18, 0xe71ca470, 0xbc92a120, 0x22cd4518,
+    0xe258ce6c, 0x5475d974, 0xe7410f5c, 0x6d829cd2, 0xcf234856, 0xff1c38a7, 0x8598a5ad, 0xf37603c8,
+    0xad33aba2, 0x467ccd20, 0xa8819bb3, 0x8a8c5702, 0xe271b571, 0x32c5f75f, 0x65546da9, 0xd9b170e5,
+    0xf2646aad, 0x335a3f01, 0xb469d385, 0x8fa76f13, 0xd9deb030, 0x02dca1f3, 0x14d11636, 0xfa629ef2,
+    0x10747f45, 0x68bd5465, 0x00c87824, 0x65dde5eb, 0x22dda800, 0x096286e8, 0xc2c67f2b, 0x0939fdc6,
+    0x77b63559, 0x2b188368, 0xb18651d7, 0x3062d661, 0x3db20ef5, 0xc7d62f90, 0x0cc72d0a, 0x92dbd619,
+    0x880c9a77, 0x1657df66, 0x9e755b01, 0x50545cc6, 0xbf1f851b, 0x63b97eb4, 0xf57dc5c0, 0x1ed24c30,
+    0xffbecaf2, 0x22bc54ef, 0x3c0ced68, 0xe392eea7, 0xea183b1c, 0xb5f91d41, 0x1cd24c95, 0x0f953991,
+    0xbb431977, 0xcbf8f890, 0x953a3cb6, 0x40cedf69, 0x8dc8af61, 0x859b2146, 0x97552818, 0x94f19542,
+    0xf1427371, 0x5b2862b0, 0x71c5ac07, 0x951840e8, 0x37af8065, 0x671a7f64, 0x49bdcc4e, 0x8e66a5d3,
+    0x58fb83c2, 0x02bb7c29, 0x1cb72937, 0xf423d088, 0x2fb21fbc, 0xdeab4dd2, 0x8b8ed1b5, 0xc20d4036,
+    0x9baf2ae7, 0xe3903d8b, 0xd5c1312e, 0x8f854225, 0xfd487883, 0xa31c3a18, 0x289c13ac, 0xbafc75ce,
+    0x5c7e7a2c, 0xf6c8a132, 0xa2f0ac47, 0x4763d54a, 0x106f3a32, 0x946031ae, 0x1fc05788, 0x47ad42cf,
+    0x91523246, 0x133d384a, 0xdcd73d15, 0xd4e9196f, 0xe0dfeec1, 0x5b379791, 0x40832498, 0x7c643ff1,
+    0xe9c935f3, 0x4c602165, 0xef0459b8, 0x869a67bb, 0x282c78ee, 0x9aff3f9e, 0x98a25c74, 0x1df599ed,
+    0x7c852529, 0x3c7feecb, 0xdeaae43a, 0x8d6b44f8, 0x416b0829, 0xcf36a31f, 0x96d901d9, 0x3c481bcb,
+    0x7d27ae72, 0x3f3095d0, 0xfd4d167f, 0xe3fef66e, 0x5afeaaf3, 0xfc922563, 0x52e31d5d, 0xcff3e382,
+    0x06a91576, 0xadb395f3, 0x9378528b, 0x5765656b, 0xcfef2567, 0xccf73873, 0xae2fdf5f, 0x87f58792,
+    0x5cd7d712, 0xc1f80c70, 0xfef88a3f, 0x18e1d5f0, 0x0587a323, 0x6ddf503d, 0x82a7dd99, 0xc79f0b2b,
+    0xf6d8eeb7, 0x6051254d, 0x650c5508, 0x4d621a10, 0xac1b2917, 0x49f27140, 0x4e4426b4, 0x567b571d,
+    0xf15fdba3, 0x01a2551e, 0xc33e06c6, 0x8ab2101b, 0x1c7b9f89, 0x869f02d1, 0x579521f2, 0x2a28bab3,
+    0x57d73193, 0x9d6c3b65, 0x2fb94a7a, 0xf7e34602, 0x8027311b, 0x553d218c, 0x4c4789a6, 0x99bcb12a,
+    0x251cbd0f, 0xf87174d3, 0x99ab6dbb, 0x28860efb, 0x5c09c1b0, 0xf126ddfb, 0xb5ddd190, 0x55c1efff,
+    0x6b8d3399, 0x4423f9bd, 0x8bdfb80d, 0x801a4408, 0xd98edbab, 0x9a6e05c3, 0x8932d874, 0x26e1c005,
+    0xa66e603b, 0xcbb4fb69, 0x9645af01, 0x8208c709, 0x891ab281, 0x8eb504e7, 0xdbd01f5e, 0x5dc12449,
+    0x13382295, 0x51162e90, 0xcf443905, 0xfda9c140, 0xd6b78ea3, 0xd069fa2b, 0x5ac4680c, 0xaf22c7d4,
+    0xd37bd136, 0x7738e6e2, 0x72c9f1a9, 0x1ef3bf5b, 0xd446dac6, 0x8aa67516, 0x498b39df, 0x9076f52f,
+    0x8edf029a, 0xb2f65087, 0x6aa139ba, 0x6b5271cc, 0x5ca8a6c0, 0xe8ef0236, 0x8d055c76, 0xaa8f3a79,
+    0x00000000,
+    0x723a80da, 0xb2c3da19, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000590295810358705651712 */
+  { 0x00000000,
+    0x9b052c9e, 0xd3b431c0, 0xc71ab33d, 0x2bc87c49, 0x8b75f2ea, 0xb0d42491, 0xe77e2cbf, 0xe4c5f617,
+    0x6c555038, 0x1a27b1d5, 0x1e1591ee, 0x1b3233fd, 0xf09b8c58, 0xe4c1c010, 0x17ca35ff, 0x7af03da4,
+    0x46fc2e3c, 0xfda3fb6a, 0xa140da63, 0x19ccdeda, 0xd48005e6, 0x543b685c, 0x81e5971d, 0xb7a1eb9e,
+    0xc765b1d7, 0xf39965af, 0xc245391f, 0x012257cb, 0x4f618781, 0x09457d7f, 0x1922acc5, 0x1a45a262,
+    0x7eaaa8a6, 0x51e385c9, 0xd7f25d82, 0x9682e737, 0x02f9bf6d, 0x5bba58bb, 0x6c3409d7, 0x3fc68fc8,
+    0x52ba33c6, 0x38cba3e1, 0x848b48ef, 0x64ffa79f, 0xeb15e499, 0x41a076b4, 0xff686bd2, 0x3ac19fd9,
+    0xff5fc4a8, 0x1314b525, 0x6c8cee5e, 0xe412137a, 0x8f7c9127, 0xcaf0db0b, 0x58059bc7, 0x864ed56b,
+    0x6a49f282, 0x4f49e270, 0x25b50ec9, 0xedcca351, 0xd17b4832, 0xd69f4a03, 0x6782232d, 0x26f70771,
+    0xe1f00db4, 0x4adc30a6, 0x2070997f, 0x61edfe05, 0x6fb70505, 0xfc0b845f, 0x5ffc3455, 0xebb23df6,
+    0x6e14e666, 0x1ef8600e, 0xf9d39928, 0xcbb43cef, 0x1c173006, 0x9955a149, 0x6bec01b7, 0xad83cd84,
+    0x33653c7f, 0x66e6ab2e, 0x2bbb92e3, 0xec77436d, 0xcd7c17f6, 0x26979502, 0xae4cab24, 0x7d65b6a0,
+    0xd9d1f326, 0x0d11e7a4, 0xdc7acbcd, 0x4475bd42, 0xf24ad921, 0x7f060ccd, 0xbf0eb63f, 0x9a4c6768,
+    0x79554b08, 0x63526902, 0x01a90a1d, 0xbd467a0e, 0x7bb536c5, 0x3e2b4c31, 0xe40776b8, 0x0793031f,
+    0xd5286841, 0x91b4896b, 0x50080f09, 0xd5b71b47, 0x9821ecd7, 0x625894fc, 0x1c9804cd, 0x0ac5c315,
+    0xb9355a7a, 0x603db92c, 0x4719f49b, 0x90245cf9, 0x54f76374, 0x345491f3, 0x09966806, 0x844d6162,
+    0x9824d94e, 0x6cb379da, 0x1f912057, 0x1f0ede4b, 0xb62ed2ca, 0xc3e51366, 0x2b6693bf, 0x517e6fe3,
+    0xab986d91, 0x9e4966c6, 0x5f42cdee, 0x78df6fa4, 0xa414dc9c, 0x08afb8c4, 0xa86b5c6f, 0x6e3f97d0,
+    0x21d5a13d, 0x6ccd0786, 0xaefdfbd2, 0xc197e382, 0x960e636d, 0xa7d9896c, 0x0ae13f24, 0xa40a6df8,
+    0x3c91b17d, 0x82d4b238, 0x90333a37, 0x138d5e39, 0x60d2d951, 0x05105699, 0x48dfee77, 0xb061e74c,
+    0x6133a804, 0x93a41fb7, 0x8ac34019, 0xa3e5d362, 0x5fd7663d, 0xb7b74241, 0xde12da48, 0x03249e73,
+    0xb037e9b1, 0xa8fc0720, 0x250d524a, 0x72f8d638, 0xf0d7ed0d, 0x269015ce, 0x9d0ef909, 0xa7721341,
+    0x4d3bb0ea, 0xfd2706ff, 0x9d42d008, 0xe10c406b, 0xe58a963d, 0x6e874fe8, 0x5d2fd73b, 0x6dacd49b,
+    0x28172a87, 0xc208528e, 0x9a737694, 0xf4bdc963, 0xab1ff0e3, 0x57592e39, 0x559cb85e, 0x8c15e9c8,
+    0x88fbb265, 0xfa232ae7, 0xf1494989, 0x34451d34, 0x4981f13a, 0xea8b1ee1, 0xfcdf0d90, 0x348bf06e,
+    0xd0022c78, 0x9faef8db, 0x52ef20cf, 0x5559a706, 0xbde95dff, 0xca431a59, 0xec67230d, 0xa0ee4a8c,
+    0x793ccfab, 0x26c21289, 0x42fa0c44, 0x716c4c09, 0xb0d3c049, 0x2e5e2cdb, 0xbfec2a6b, 0x34263cde,
+    0xbc301ce8, 0x8dc6b2a4, 0xfd766169, 0xc16dcfcc, 0xffbb9a42, 0x9d9927d9, 0xa2e900db, 0x9dcac869,
+    0x03fc77b1, 0xd7930ee8, 0x285b2a40, 0xa3c33e38, 0x945f75b2, 0xf4529ad2, 0xdeaa7416, 0xfa8898b4,
+    0xde39518a, 0xb1d445d9, 0xa289d7c5, 0x10e83f01, 0xb2f0ba76, 0x6f1aa17b, 0x835fe6f9, 0xa6f99cde,
+    0x3ed55e21, 0xf36e5ec2, 0x18e926fa, 0x9b63d381, 0x2342bd09, 0x2976ff04, 0xc8fd05f4, 0xcb00bf5a,
+    0xd8835994, 0x9c6cb789, 0x43ca0a60, 0x9c2c7ca4, 0xaf1ec0b8, 0xd137a95d, 0xb2f06398, 0xb7598cb6,
+    0xe4fe1c1a, 0xba64bcce, 0xf558fc71, 0x6f217f40, 0x9e3ce0ae, 0x3052ff16, 0x129f2853, 0x4524e2d9,
+    0xa1860cb8, 0xbedb73f6, 0xc1552d01, 0x882632c1, 0x9b3a5f72, 0x7762d1de, 0xab110fba, 0x6e952bcd,
+    0x91db40df, 0xbeefa9ff, 0xa037ab32, 0xb7d8d7d9, 0x87e23263, 0x7a5c0ab7, 0xeee38e9e, 0x646f9bd1,
+    0x5933e2bb, 0x12ff3183, 0x040905d5, 0x4e4e5ca2, 0x805e752f, 0x30b882ca, 0x93d5402e, 0xb796dc5e,
+    0xeee8c438, 0x1f15d941, 0x6b66e3ae, 0x4e199bd1, 0x28bf7f0f, 0x393540b1, 0xcda7505a, 0x41ecad67,
+    0x70a1d8dd, 0xb3f458c9, 0x7e760af5, 0x495d0cc1, 0x0786e5a0, 0x0ab51c96, 0xbd40c43c, 0x04ed73b1,
+    0xb58258e8, 0x3d52d458, 0x2e44df63, 0x8ca145b3, 0xf58575c2, 0xd6989c05, 0x4c87eea1, 0xcd284fb4,
+    0xd29ad2b3, 0xbcac586b, 0x5c638f87, 0x905e6954, 0x1e1a31a0, 0x582d8101, 0xe549ed45, 0x57f3b496,
+    0xdebfe00d, 0xb9171f9f, 0x4e11c5da, 0x3e2de64e, 0xfc985d50, 0x3837d0c1, 0x2cfbb326, 0x78970ba7,
+    0x7fd9c7aa, 0x843ff3b6, 0xa19f9787, 0x0269c044, 0x5f6a3e90, 0x28b1aaf9, 0x395b9d1b, 0x46619861,
+    0xaf6cdf6c, 0x5b8eefea, 0x9ef6e6bc, 0x2ae169c6, 0x2f8f0bea, 0x24132abc, 0x879ae439, 0xdb7a5a8f,
+    0x3c56707d, 0x84f92101, 0x028e1276, 0xa833e030, 0xd8fc7a24, 0xe556407b, 0xeb1fb8ec, 0x71b7f42e,
+    0x40f1975b, 0x1a2c0f70, 0x57ad341b, 0x7f5b042e, 0x77c93d1d, 0x3f517347, 0xd890f61c, 0x5d967f95,
+    0x520f5f46, 0x3c63b539, 0x8450d3d5, 0xc23bb26b, 0xabaf29bb, 0x321af7a6, 0x055aabe4, 0x40840036,
+    0x7bb829e4, 0x2924eaa4, 0x04c9db55, 0xc0d7df47, 0xb5be7266, 0x395856b8, 0xcdbafc54, 0x18f6e43c,
+    0xc915e28b, 0x703bc7ce, 0x3fecaf86, 0x81d98872, 0x695f0748, 0x1bc90352, 0x565bd937, 0x98be9e7d,
+    0x1c7903f4, 0x661f4a72, 0xdd839230, 0x0c736398, 0x3538cb5e, 0x64b74aa5, 0x20d609e0, 0x92282146,
+    0xcd25f74e, 0x28bf2b39, 0xd0542e17, 0xcf466b52, 0x7de389b2, 0x877494d6, 0xfdd47ec1, 0x0ff93380,
+    0x20ee79c1, 0x5b1399da, 0x41732155, 0x8bdec88e, 0x80ebf2f0, 0x15d3bb54, 0xbd2d44c5, 0xbbbd68a8,
+    0x7a38751a, 0x52361bee, 0xec9592c7, 0x9f759cce, 0xbeab6ea5, 0xe7a2729d, 0xca638fc0, 0xc80fafa0,
+    0xa878bf1a, 0xfd94d268, 0x22642960, 0x4a644e9f, 0xba4484dc, 0x787d9224, 0x003bb3bd, 0x03647a8c,
+    0xa8d39779, 0xaa27f832, 0xdf5d08e0, 0x886e6d3c, 0xfe179c6e, 0x4f70b468, 0xfab68c82, 0xf10ad30b,
+    0x8992087e, 0x2bc8cbae, 0x10f018c9, 0x66845703, 0xde966570, 0xef0585ae, 0x3c705058, 0x61ca54fb,
+    0x91a8a445, 0x83e074a7, 0xbdbfdf98, 0x82a04da0, 0x20a97a48, 0xb7213700, 0xa73e0546, 0xb7ebc80f,
+    0x3703a8ba, 0xfe8ee62d, 0x5866c40b, 0x7eaca16c, 0x621b581a, 0xde8731c3, 0xce94585a, 0x045b4c4f,
+    0xa6dbc5ca, 0x6b7c97b3, 0xd4045bf1, 0xa073d4c8, 0x9f7bf571, 0xafa86da1, 0x9b54408b, 0xc3e1865e,
+    0x6ce4055a, 0xd177c3d9, 0xfd549eea, 0xd454a653, 0xdc30eb23, 0xcd8b1adf, 0x945d5c64, 0x9c21e2d8,
+    0xde70b8c2, 0x8022fc0a, 0x6a394150, 0x3cf8ec43, 0x18aac554, 0x85a18796, 0xc073e60d, 0xb7c1ae58,
+    0xaa530f9b, 0xee484bfe, 0xbce8e1a7, 0x732982dd, 0xc514a605, 0x99b97179, 0xa2b091e9, 0xca85bb69,
+    0x52283df4, 0xf5906a26, 0xb6817404, 0x05af8a5a, 0xeb1e3262, 0xb03446a7, 0x672dab48, 0x57e15399,
+    0xd5e387c7, 0x8e975d2e, 0x9f3ba9bb, 0x23b2020b, 0xa7201d57, 0x9abd3ffa, 0xab92cd54, 0x83adbb4c,
+    0x438ca524, 0x21ac7e96, 0x95cbe262, 0x3fddb0c8, 0x4c7db7c2, 0x60151275, 0x1a1f1d8c, 0x930bec9e,
+    0x892137ae, 0x880ce678, 0xe2173baf, 0x5369ed98, 0x4bea8e84, 0x5975c7cd, 0xac39e0fa, 0x0e246e2d,
+    0xbd746d0f, 0x07af2f98, 0x876957c4, 0x02a8cf4a, 0x85f79bc0, 0xf0b4397f, 0x25533af5, 0xffc6fc59,
+    0x95def341, 0x8993cfbe, 0xb9d95864, 0x98515a93, 0x33fbd528, 0xb62b2ea2, 0xeb6f64b9, 0xed09ef2a,
+    0x2c9979e6, 0xe4d945f6, 0x5a5f8235, 0x2fb7fc4c, 0x14629c43, 0x58832748, 0x48709b6a, 0x26809c91,
+    0x55c2c355, 0x994f87fb, 0x00d8d74a, 0x92e0d9b7, 0x04f2673a, 0x5bfd090d, 0xa00484da, 0x1f9b260e,
+    0x2fd71b62, 0xd1d3db47, 0x60ce6a6e, 0x446bd726, 0x790fa8a8, 0xa0aefb7e, 0x409ca6fd, 0x29a0cce4,
+    0x16582809, 0x73ce485f, 0x349e7563, 0xab15829b, 0xf5ec6ad0, 0x9bb2478c, 0x5e779eb8, 0x8aa69e4b,
+    0x9a0793bb, 0xd5df875d, 0x4063a170, 0x69b18ee2, 0x71b46441, 0x4ff00ba4, 0x7861dee9, 0xcbe60b90,
+    0x2a13e425, 0x75815c1d, 0xd1fcfb78, 0xc9a70a02, 0x12186afe, 0x24cd069d, 0xc39519b9, 0xad159292,
+    0x4d73b028, 0x9ec98417, 0xec37e108, 0x407da471, 0xbaab4b22, 0xe6ed8888, 0x5f0719f0, 0x67645c0c,
+    0xaca819f1, 0x1500242a, 0x16cdf058, 0x074394fe, 0x0de525b8, 0xc2b9afbf, 0xf329c8cc, 0x1a7aa39c,
+    0xdb8ec548, 0xb34de476, 0x09c2ac04, 0xd7145741, 0x096f94e8, 0x31fc19ae, 0xc4c28dcc, 0xb6d0de40,
+    0x78d83364, 0x253803eb, 0x297fbb0f, 0x3c01141e, 0xc7d7d1d6, 0x9f02078e, 0x17aa13a8, 0x48f25497,
+    0x2a75e3bd, 0x6dfbe2e9, 0x58132814, 0x67c7e9df, 0xef41234d, 0xddecdf13, 0xe40748b4, 0xb9ce1f05,
+    0xeb0ae7bf, 0x670dd688, 0x99207288, 0x03c902d5, 0x847a926e, 0x9acaf666, 0x72e35e92, 0x0fafed98,
+    0x4f37e01f, 0xffc9c2cc, 0xe8cede0a, 0x36d173fd, 0xf29faf19, 0x4b490aaf, 0xf0971730, 0xd7054c47,
+    0x89e3b0af, 0x14cdd4e0, 0x103e0b57, 0x0946f648, 0xf560ed07, 0x7b1c0ae8, 0x6f2a3ace, 0x3b0b1f76,
+    0x1e2f462c, 0x743d763f, 0x94b245ef, 0x4ae8be5c, 0x9f106b12, 0x1320c607, 0x61242380, 0xe16054a9,
+    0x021f22ce, 0xb4d67df1, 0xde8aa488, 0x1792fc2a, 0x9bbdece9, 0x4fd36872, 0xda8032e4, 0x2b186bd4,
+    0xcc5de411, 0x03ebec7c, 0xb2f12524, 0xca23f703, 0x263ca757, 0x3b828b8d, 0xdecf5c6f, 0xf8906824,
+    0x00d8a29e, 0xa91eca35, 0xf19f9022, 0xa003171a, 0x6334ab61, 0xb5d4cc45, 0x9d8cabc4, 0x13e0c3a4,
+    0x0e8fe5ec, 0xd109d0d5, 0x0039463d, 0x05d29c4d, 0x462d0a03, 0x01a2a48e, 0x10439c74, 0x81777eb7,
+    0x0796148b, 0x8da0deb9, 0x1d3f6ec2, 0xcd9b7309, 0x5e4cd44e, 0xd9669922, 0x6573ad7e, 0x7e2825af,
+    0x59ff5369, 0xb0149af3, 0x370deb5b, 0xb3771427, 0x650a5d45, 0xb9b3d271, 0xb06a18bd, 0xe37b46c5,
+    0xf2a5fdc5, 0xa246a950, 0x2382d617, 0x31676ee3, 0x6c92f106, 0xf281c369, 0x36e95c16, 0xa8152d41,
+    0xaa20cb51, 0x11e6bea3, 0x6772d367, 0x25652313, 0xcff26ca1, 0xe4026485, 0x58a3f204, 0xff04e3e4,
+    0x4ba67dc0, 0x0be25cbe, 0xf9cc8592, 0x49a4f4a0, 0xcefb1994, 0x89f29a6b, 0xb23619e9, 0x465711ea,
+    0x6f2ba506, 0x873510b3, 0xda9ef927, 0x8475573a, 0xd72b86ee, 0x9c2940b4, 0xc54c445e, 0xf1a3d8a7,
+    0xfc26c8ef, 0x86ee77d4, 0xb914a5eb, 0x1224fb7b, 0x22cdce4c, 0xea6290e2, 0xc7a23037, 0x714b3e6d,
+    0xe837b1f9, 0xf0f2a400, 0xd8209f1f, 0x3a0153f0, 0x9572f9fc, 0xf0cf3c6c, 0x30041e7c, 0x50d013f1,
+    0x015db731, 0x3e2c374a, 0x16148437, 0x80dc0b07, 0x0153360d, 0x0940821d, 0xffaee6a5, 0x5e2d4db6,
+    0xa9e36fd3, 0x88d4f459, 0xb705fea6, 0xaa5dbdcb, 0x3855a3bb, 0xe72465b6, 0x1c9e8514, 0xfea0a4a6,
+    0x410a4fc2, 0xaf274e82, 0x47695096, 0x3ff6b444, 0x6216a7c2, 0xf4341df4, 0xaca6bc51, 0x42ac7619,
+    0xcecc6be5, 0xef1bfd7c, 0x3eaf5a3a, 0x4b7eb8af, 0x611cdaba, 0xc8f1ea68, 0x8daff973, 0x2d3dd72f,
+    0x5446d6f7, 0xab5698cd, 0x292981a8, 0x154cf8f3, 0x5c13b594, 0xe7ef7218, 0x9bbe3cc3, 0xfc85c669,
+    0x4fc374f9, 0xff41e801, 0xd4b240a4, 0xd108fd34, 0xd2e12861, 0x71ce8619, 0xb3738c52, 0xfa9397f8,
+    0x2d1e0aeb, 0xbd9c0789, 0xd4ba9ee0, 0xe7f669bd, 0xa34ec831, 0xe5e1a7eb, 0xc3eec261, 0xcbd43daa,
+    0xa9becdeb, 0xeca06c48, 0x69f400de, 0x925c2efb, 0xfaf32db8, 0x69eeeb9f, 0xb8a2f858, 0x87d35a67,
+    0x8c38299f, 0x9d740af4, 0xbf76370a, 0x576c08e3, 0x0d2fec8f, 0x3c8857b4, 0x3f9dc143, 0xee9dd654,
+    0x25a29092, 0x52a769e4, 0x5863b2bc, 0xd43e0533, 0x94ccb8e4, 0xa8ab787a, 0x9a12abc9, 0x84e84e30,
+    0x1821662f, 0x9de54965, 0x74ec8ab4, 0x115b5786, 0xc505cdae, 0x1405cfb2, 0x45892d99, 0xd74525c9,
+    0x2459a49a, 0x77ed4092, 0x0031e7c0, 0x25ea8a96, 0x820f0f09, 0x0c4e080c, 0x6d7af084, 0xfc3a13a7,
+    0x6554a6a1, 0x91cbc568, 0x4b54849d, 0x162cf906, 0x9fb48658, 0x20490ee2, 0x0b756c7a, 0xf03f765a,
+    0xb8001bb9, 0xafe150ee, 0x2df7770e, 0xe119725d, 0x8b3a2da4, 0xd11cf5ec, 0xb06488d2, 0xd52f531d,
+    0xeed764e8, 0xf123825b, 0x8b06c90a, 0xaf38834e, 0xc2d1f3e7, 0x103b6e9b, 0xa9d56cbb, 0x9420bcae,
+    0x039e4192, 0x0d5d1851, 0x739b10bb, 0x13fee55a, 0xe9950206, 0x2636c464, 0x65a0bbb5, 0xb4420c9c,
+    0x0027974a, 0xde4d73cc, 0xef38a8d3, 0x7a327f4d, 0x16e2c9c8, 0xdec8eb97, 0x8c45fda1, 0xafa4172b,
+    0x20e0d2e2, 0x12185a90, 0x1e882e2c, 0xd3cc36e2, 0x4913d1bb, 0xd8f2b425, 0x4c0add13, 0x2f45a3ce,
+    0xb35a5765, 0xd4901a25, 0xa2cbcc5a, 0x1c1491ea, 0x71d6405f, 0x848f9fe5, 0x224b5c7a, 0x350ca438,
+    0x8da3a63e, 0xb262c537, 0x6f416e64, 0xe5d18035, 0x69da6561, 0xa8deb1a5, 0x885d8366, 0x73035fa0,
+    0xf877ef26, 0x7b659cba, 0xc4c0a7d0, 0x9ab1baec, 0x47bddb98, 0x1c7e0e61, 0xca04bb62, 0x7e039fdc,
+    0xea87e4a8, 0xb04f1ae5, 0x426ee947, 0xca4da616, 0x787a314b, 0x57961a44, 0x26895522, 0x638729e9,
+    0x16c0a15f, 0xd98b0496, 0xe2441967, 0x4071ec09, 0x8144587d, 0x6d569d1a, 0x8dc38083, 0x75d4614d,
+    0x9cf41d14, 0xf9a6bea2, 0x1d4d770f, 0xa4fb7983, 0x5db924c5, 0x8c3ba9c5, 0x0a36f8cd, 0x85909cec,
+    0x832ee209, 0x60fe4ca5, 0x49bdff02, 0x84a7be8c, 0xceefe735, 0xaf557a39, 0xfc1e7ae3, 0x62a1a082,
+    0x771dd05a, 0x7d38b4a8, 0xeb8be5eb, 0x0c419f86, 0x8d0a1d0e, 0xe29a81bc, 0x2c32c781, 0x20c6c0a1,
+    0x937e4245, 0x153069de, 0x418dd261, 0x715e2f61, 0xb2d09e42, 0xbcc9650a, 0x9674b8d9, 0x6cede77a,
+    0x1fd68ff2, 0xa05b1154, 0x2463331b, 0x24802c33, 0x8a39cf59, 0x8abe39fd, 0xaee1bf67, 0x3d960f27,
+    0xba0a74bd, 0x00995d90, 0x30fde0ca, 0x0e7aae94, 0xc7a8a5a5, 0x28be9206, 0x42d11001, 0xdc9a3836,
+    0x1e2022d1, 0x23e9486f, 0x82a50a95, 0xddefcc75, 0x12b53d05, 0x804bb5de, 0x106f3544, 0x36f85637,
+    0xff3afffb, 0x8113803b, 0x2f04facd, 0x85bf7306, 0x80b1e418, 0xd6aa4c61, 0xffaff0c3, 0xb22919a7,
+    0x136e0c48, 0x0865c409, 0x5a95a110, 0xd4821b01, 0xb369f63f, 0xee65142f, 0xf9ceaf0d, 0x979c7faa,
+    0x1a59d971, 0x519ad5c9, 0xa2b1c0b2, 0x841280d2, 0x6fe10085, 0x4ee900ef, 0x8abe4310, 0xd0f51d67,
+    0x00000000,
+    0xb91d406c, 0xd961ed0c, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000295147905179352825856 */
+  { 0x00000000,
+    0x628e0b0a, 0xe1c03e7d, 0x7ba44db9, 0x14ea5234, 0xba572a1b, 0x2388633a, 0xd17e0e2f, 0xb9eb3246,
+    0x1f009767, 0xbb29115d, 0xcc186f8a, 0x83432499, 0x3bbe6403, 0xcc470cd5, 0xbfd53b38, 0xf3dea056,
+    0xdc2a6aac, 0xe50822b7, 0xfe21c2bf, 0xbce7946f, 0x3003307b, 0xa11cb733, 0xd383baf0, 0xaf50be30,
+    0x3de3e3bf, 0xf9e802ea, 0x692d55aa, 0x019d84db, 0x5dbea0f4, 0xe0700963, 0x678758eb, 0x2ab4467e,
+    0x4bf1947c, 0xe0b421a6, 0xa9021eee, 0x0d1d1b71, 0xc69a759a, 0x2c8cce39, 0xcc77d773, 0x1124200f,
+    0xefccf617, 0xb5a1d4d9, 0x03f1fa61, 0x4697316b, 0x2da308df, 0xcf4720b9, 0x7c84b6e6, 0xc78f4477,
+    0x7b01793d, 0x2e859870, 0x1382b78c, 0x70aad036, 0x8e6dcf5b, 0xaccadee4, 0xd5222fdc, 0x165da5cd,
+    0x4562db43, 0x2bf33bad, 0x391f28a2, 0xbb7071de, 0x1f5e9044, 0xec71ec2d, 0x5b9956b2, 0xc8dc7038,
+    0x601a3c6e, 0x0784812d, 0x39c981dd, 0x9dc3c701, 0x0c134a5b, 0xe5fbb3e2, 0x12eaccfe, 0xbe4f8c0b,
+    0xfbb912bf, 0x6eb72301, 0x30c4db2f, 0x379e5255, 0x38db03ad, 0x7d26e175, 0xd6654369, 0x252d0986,
+    0xebc88de8, 0xda5e1053, 0xd287cb4b, 0x779b1271, 0x7264b4cc, 0x2d75c11b, 0xf0baa799, 0x297c3479,
+    0xb4f757f6, 0x3170d631, 0x6e1b0505, 0xae48985f, 0xa583a4ee, 0x7c708916, 0x879b71fb, 0xf5e4b68c,
+    0x164b5a42, 0x8e82f2d4, 0xe59beade, 0x63b3df87, 0x943fcb8f, 0x19b30f2e, 0xc03712d9, 0x9d8e0ab3,
+    0x563abe28, 0xa4844d11, 0x82018b08, 0x2fc25178, 0xd3aca1e2, 0x8261e893, 0xa6fb0714, 0xa6776431,
+    0xc909af8c, 0x852d5fe9, 0x7a40f360, 0x84e49c53, 0x5a97adab, 0xca06bbdd, 0x7afac4d2, 0x90254bf5,
+    0xe607887a, 0x2628497b, 0x77f7efc9, 0xff32b94f, 0xd447805c, 0x381e5113, 0xe1d09af6, 0x71781d05,
+    0x5f88c0f0, 0xe6a7d36a, 0x12edf0b4, 0x2a310725, 0x8ea7bef7, 0xcc4659fe, 0x3055a03f, 0x2b628504,
+    0x9396805c, 0x0dc57b57, 0xeaefec6e, 0x7dc2b58e, 0x89923423, 0xebf51681, 0x6fd47ee1, 0xdf09217d,
+    0x43d653f0, 0xa2066d03, 0xfb55a560, 0x6eb8b924, 0x3e7c44f1, 0x44fc9780, 0x398e24b6, 0x3d654a0e,
+    0x3505b5f0, 0x2c265a0f, 0x2297cd78, 0x396f8c2c, 0xa53a4f34, 0x6e892abc, 0x5305c16a, 0x98e6ad81,
+    0x6e64700f, 0x0531bdfe, 0x410bc0e0, 0x8bcf4bb8, 0xaa104adb, 0xdf0fcb4e, 0x12ca7d24, 0xd4968fee,
+    0x6007b3b3, 0x0dd736d5, 0xfc95a5b2, 0x79c70af7, 0x9a1ae27c, 0x79a9cbaf, 0x68cc69a5, 0xf7511d2e,
+    0xc9077574, 0x401c7bbe, 0xe3bd3c28, 0x1ac1eb8c, 0xb43827ff, 0xe7cde625, 0x8b4933ac, 0xf01d7c85,
+    0xb05ddf03, 0xf43bc97c, 0xbd60fd81, 0x10db5fc1, 0x2d98d9ae, 0x8cf2247c, 0xe1342a5c, 0x32d468c0,
+    0xbce64aa4, 0x6d1a5569, 0xe0021e98, 0x7bf2156b, 0xadcd99cf, 0xcc54a0d6, 0x0f9f72e9, 0xef859498,
+    0x8cf03f4c, 0x25bfbe89, 0x006b3168, 0xc4065176, 0xf250f911, 0x150a4506, 0xb9f774d4, 0xef55c263,
+    0x397004b8, 0x0fa8f2e1, 0x0b769f84, 0x4db8691c, 0x10a3e8a0, 0xc608d7aa, 0x214264d1, 0x138f07eb,
+    0x81521e90, 0xf5bcd4d7, 0x65d8cb41, 0x65ca223c, 0x05b55f46, 0xc395e90b, 0x5c1f5457, 0x0de4edc8,
+    0x7a900ce8, 0x1dc5343f, 0xf84556fa, 0x5f8a59f9, 0x097d5150, 0x715cdf01, 0x12a2b517, 0xa84337b5,
+    0xf58cff79, 0xee708dde, 0xdeb25d34, 0x9216387b, 0x034159c7, 0xd448fdd5, 0x99427efb, 0x8bc23659,
+    0x657781fe, 0x03030c18, 0x2863f020, 0x64c2e9c1, 0x235d55d2, 0x56cb4763, 0xceafa439, 0x20b65209,
+    0xcefc7295, 0x028a4674, 0x1f86006a, 0x142eb25d, 0xa8780f5b, 0xf77b2907, 0xba310f5c, 0x305c7218,
+    0x0bbf229a, 0x2f29898c, 0xce026c1f, 0x224c095b, 0xfde3740e, 0x9084cd10, 0x160ef024, 0x439bded2,
+    0xd422a791, 0x6682c707, 0x4c94c1cc, 0xfb7b666b, 0x757116e9, 0xbdd5c075, 0xebde3250, 0x4907c690,
+    0x31db6360, 0x90a74b86, 0xead9b4ff, 0x7c163531, 0xbe4e1a10, 0x512716bc, 0xa761bf92, 0x87b8f54d,
+    0x2e0e5375, 0xf8cd9582, 0x0bb85ee5, 0xdbf95e28, 0x00436255, 0x254943ce, 0x11bd2000, 0xed0c63c1,
+    0x6cc22b4d, 0x8fa963ec, 0xf69fc7f6, 0xa0d11a80, 0x060c3969, 0x79c36c90, 0xc4d7bee1, 0x99df436f,
+    0xe752564f, 0xe1687a89, 0xeae1001d, 0x752929eb, 0xe8964170, 0xcd3c1b95, 0xdda65190, 0x0b0514ef,
+    0xd9da6575, 0x7e7c614d, 0x08c8f42f, 0x584e7803, 0x42beff94, 0x1739c101, 0xf0217b33, 0x316629c9,
+    0xa3ec7134, 0x5c4ab334, 0x84e56a19, 0x3a2bfb5d, 0xdde01b30, 0xff8e2990, 0x70b0b1a6, 0xfe02c91a,
+    0x15b9111e, 0x51769099, 0x5cb22d6a, 0xdad45ed8, 0xd8e2950e, 0x6ecaee67, 0x6727b523, 0x35694cfb,
+    0xe01c9da1, 0x6f1142f9, 0x3ad31d8b, 0xff4798fe, 0xc71a7447, 0xb897fe1f, 0x51d25380, 0xd063120f,
+    0x73d92e4a, 0x2be3e59c, 0x7b04830e, 0xdebf8679, 0x440890e3, 0x1cf13bfa, 0x00998b58, 0x481d527a,
+    0xd40d876c, 0xa5020a37, 0x5f7f6e94, 0xb515f5af, 0x6fa3f1ae, 0x353144a4, 0x857bc31a, 0xba5d6f13,
+    0xa0a73a20, 0x2edf4fc6, 0xe49edb4a, 0x06a5c5dd, 0xa262f965, 0xa82a8548, 0xd64d5aab, 0x9e5a6501,
+    0xef7ff6d4, 0xcb4b4903, 0x2f562554, 0x9b43bb94, 0xefe2e2bf, 0x48ca74ba, 0xe5e799dd, 0xd98ddc0f,
+    0xfb6188b6, 0x47d73d95, 0x9a3db9b2, 0x0ce62429, 0xfca166a6, 0x3f7be112, 0xa3eb1b64, 0x6b3086aa,
+    0x753a8e32, 0x4fced2bc, 0x9cc6c79d, 0x7670e9c8, 0x3b93387b, 0x01716076, 0xc6d15882, 0xcd2bed84,
+    0x43ea8cc7, 0x3657607e, 0xd4f2425a, 0xf05bfc55, 0xa859c1da, 0xe310be84, 0x8be78652, 0x0029a7fa,
+    0xf38f9a9a, 0x6b90b3bf, 0x085b63b6, 0x0415dd5f, 0x5a94134f, 0x997d81ed, 0xa51b6afc, 0xfe309b0c,
+    0xb1dbe20a, 0x76a38d76, 0xdf8c143c, 0xfa2b784d, 0x615b275b, 0xa5587ee4, 0xfae1cb31, 0xcc9a676f,
+    0xb36eec5c, 0x13dcefb4, 0x12cbf199, 0x440d4d63, 0xb995c4ad, 0xc03ea6d2, 0xf907a6a5, 0xa80c8389,
+    0x4f57d1d7, 0xd1d8a09f, 0xf793eea8, 0x8ec4a530, 0xb2215dba, 0xf9018662, 0x6f66a811, 0x53da506c,
+    0x9d1873eb, 0xb2a9bc8a, 0x07b27e79, 0xf629733f, 0xdf6b84b8, 0x8d5cb531, 0xc404c733, 0xf6571bdf,
+    0x82a7a170, 0x6968af39, 0xc1e3eb74, 0x7cbb9fb6, 0xb71a7bea, 0x4f5e9a9b, 0xe355bf1f, 0xc2b52f03,
+    0xb6faa1e2, 0x17a332fc, 0x0aa0d571, 0x2c047e82, 0x435c4da3, 0xad7e9748, 0x04452832, 0x0aad0eef,
+    0x94ad59b3, 0xb17cbbe4, 0xc0f7621a, 0x4b7ee00a, 0xd4bf67c1, 0x83090a66, 0x393c803c, 0x9b65e288,
+    0x0443cbe6, 0xd879a0a2, 0x3b5922d1, 0xbdc3630b, 0xb77ae81f, 0xd7dd8af0, 0x4013f3d5, 0xa00fdf88,
+    0x0af94477, 0x8d596fe8, 0x3ed89e1c, 0x44636e22, 0x78fdfbe9, 0x30b6cc2f, 0x03fb4e30, 0x1b8d378d,
+    0x797fc0b1, 0x2852b561, 0xa4b40fd2, 0x0e3428b9, 0xf819a425, 0xaf5ea21a, 0xf34eb6ae, 0x945c448a,
+    0xdc27c04b, 0xc9b7b4c8, 0xa7b8c7da, 0x66b7fcef, 0x7d72e52a, 0x851af112, 0x275ddcb6, 0xd61e43dd,
+    0x8a7883d1, 0x2e689cb0, 0xd12c15bb, 0x5ad05c42, 0x8c12b0b2, 0xa5a1bf8c, 0xa0e5a642, 0x9e401e7d,
+    0x96fdf4eb, 0x66c9ab92, 0xcd43ef8b, 0x71082751, 0xdd7e2dde, 0x8915d6a0, 0x1ed06896, 0xc95b0e34,
+    0x13762172, 0x394e2497, 0xb62148cf, 0xff365280, 0x3607321c, 0x3bf71457, 0x93f1d797, 0xa896cffb,
+    0x592999f1, 0x8daefeaa, 0x8d761d44, 0xb0008830, 0x932dadd7, 0x5f543034, 0xa0aa90f0, 0x7c555d23,
+    0x0e6c83de, 0x469d9062, 0x62ab1d2e, 0xf924183e, 0x0c8fb0c9, 0xfd275a03, 0xd0583c28, 0x3428e562,
+    0xb5f5ac14, 0xd3e3ebef, 0x05e5b3e3, 0x66acb320, 0x64921734, 0x2f976f35, 0xd67a9b1b, 0xcdc59392,
+    0x983c5c97, 0x65b6136f, 0x9a4494c8, 0xa28f64c9, 0x3c6e8360, 0xec91dd64, 0xbeeed329, 0xf8dc652e,
+    0xa66327be, 0x88d1a0e1, 0x4497fc45, 0x9d57e30b, 0x74e2f351, 0x384cb1d9, 0x9be2fd5c, 0xcdbb74ff,
+    0x53bd1a54, 0xcf2d62fb, 0xf8cecae4, 0x9eaf42ea, 0x8bfe6b99, 0xeb8a75e1, 0x8a8ef989, 0x2f6d3ef1,
+    0x17686147, 0xda87c1bd, 0xc43cbcd3, 0x34529c37, 0x43c60377, 0x9fd0f090, 0x5c924c5f, 0x6cafaa1a,
+    0x2095ea0d, 0x88049aae, 0x0c3bbeec, 0x42e34c92, 0x2a324a22, 0xca1e7115, 0x28d8c6d2, 0xaa9b600f,
+    0xd4701307, 0x795c7ac7, 0xa5290a9b, 0xa89655c9, 0x7758dc92, 0x1997f4c3, 0xc3acad98, 0x689c2187,
+    0x88ae6804, 0x28327434, 0x7bb2584f, 0x2f7730d7, 0x2ac8565a, 0x2ca9e4b1, 0x1aa2bbbe, 0x07662139,
+    0x5f90c547, 0x52a4bcf2, 0xc7ea28ce, 0x623e53e2, 0xeb4587ea, 0x7f76bb5f, 0xad32946d, 0x600c082a,
+    0x165d19de, 0x63105e23, 0xde9e4c02, 0x719dc6f7, 0x0888c250, 0xa1d9a5c4, 0x194094f5, 0x8eed3ce6,
+    0x968e73bb, 0x8b600e54, 0x1f22651a, 0xb4770fa0, 0x623c5995, 0x65a8b2fc, 0xce1cb930, 0x5a509720,
+    0xbc56a69f, 0x805c21c9, 0x854849ee, 0x7aa3f3ba, 0x90902150, 0x8e69dd28, 0xa6f62c32, 0x0943666c,
+    0xb1d0b139, 0x5e58f5a8, 0x7df4b429, 0xe1ae4d31, 0x4ecfb280, 0x3cdeca98, 0xc7908ec9, 0xfa6305d0,
+    0x56e1cfd4, 0xa9fda207, 0xb053b0ba, 0x5d6754aa, 0x1266bc35, 0x0aa0e67d, 0x4faf3bde, 0xa8b15362,
+    0xd731b71f, 0x7916de67, 0xcf0050c5, 0x33677c12, 0xa027b98f, 0xabd3e1e6, 0x767baa2a, 0x48eeac32,
+    0xaaf74c45, 0xa27c80b1, 0xf14622b9, 0x6cb62840, 0xe4894e6f, 0x3234ff0b, 0x9ee0392c, 0xd3a3f7ed,
+    0xaeeb06ab, 0xfbb7655f, 0x7566dccd, 0xc3f1c85c, 0xf0da3593, 0xc69c9a01, 0x87440dca, 0xd4e1fbf8,
+    0x49476b9d, 0x4a0d036a, 0x3ec38756, 0xa924fc2b, 0xfaab90ca, 0xc7b8b20e, 0x32b3a2c6, 0x6271437e,
+    0xdde9ff23, 0xb19bb8ef, 0x7269e303, 0x2fdb8d6b, 0x8b44be5b, 0xa2f674c0, 0x7d440c1b, 0x012244b0,
+    0xe3043680, 0xc3860a75, 0x6c407137, 0x8f06de6d, 0x058f1716, 0xa17178ce, 0xa19c636f, 0xc246c98e,
+    0x4204a78c, 0xe85f505f, 0x90a37f09, 0xc04122dc, 0x26b2d695, 0x702b0580, 0x5b7cadfe, 0xccb545a7,
+    0xf369d26b, 0xeabf91c2, 0x0c289cdf, 0xbca10125, 0x89de823e, 0xc5527c25, 0x183da8c7, 0xba336670,
+    0x3dfa3ef0, 0xbefbb2ff, 0x941a227b, 0xef98fb94, 0x70244b21, 0xa5fa8024, 0x1b60c4a3, 0xe47c5f31,
+    0xbdd647d1, 0x827fe26e, 0x535fe06f, 0xf05883ef, 0xecad3185, 0x7aee6973, 0xba404130, 0x263901b2,
+    0x280cb41d, 0x9b7e8e36, 0xe0137bde, 0xabcf89aa, 0xc022dc9a, 0x9d246934, 0xda092d05, 0x72faae13,
+    0xfd12f2f5, 0x73feba10, 0xea50f612, 0x0a9f8a9b, 0x58ee0a1c, 0xc25bc3ff, 0x29cfcd41, 0x9fcebc30,
+    0xa47ffed9, 0xf58a7906, 0x88f8ba2b, 0x62edb8c8, 0x0b074b23, 0x494f0682, 0xf673a0d2, 0x744c7829,
+    0x9295ad7a, 0xcccf10e4, 0x7edd659b, 0x9e641811, 0x56696fd8, 0x77b1d240, 0xa785d247, 0xbca241e2,
+    0xe437dc67, 0x530a663e, 0x8a705eb9, 0xe4a69cfb, 0x9d34e45e, 0x208b7f28, 0xad59555d, 0x06decefc,
+    0xe04dd0d4, 0x8ce3b06f, 0x124c00ae, 0xfc71400e, 0xaf89ef9d, 0x851005df, 0xe853efad, 0xf3606c58,
+    0x32824008, 0x9385a0d5, 0xa0c5b1fd, 0x63fdfa5c, 0x19683511, 0x0a6c43e1, 0x649571e4, 0x98240e6f,
+    0x6ce1b353, 0x1ef1d547, 0x52833101, 0xc79e83af, 0xb8a6d9f9, 0xcb22a066, 0x88b233c0, 0xf1816266,
+    0xb36cd07e, 0x29897412, 0x927f105a, 0x57bb358b, 0x6ffba145, 0xe046f263, 0xffc8fa4c, 0x8469ccc9,
+    0x54b15219, 0x2a8f8583, 0x1d306643, 0x6cb2a7e6, 0x61c38bce, 0xb4399ae1, 0x697e25db, 0x8220719a,
+    0xfee3a79e, 0xf397e9d8, 0xd1b03346, 0x6822726d, 0x2d518608, 0x157ee6a0, 0x9d914801, 0xda6fc9f8,
+    0x98486df9, 0xd106b6de, 0xc187a2f3, 0x7d87b2e3, 0x1feafa16, 0xe975edf5, 0x5a7cc335, 0xd2f5e3df,
+    0x540b7273, 0x536f5ff7, 0x1bc0d3da, 0x1ad92bb6, 0xb6c70876, 0xb2bd9e7a, 0xad5c911c, 0x63d0111a,
+    0x3f067514, 0xf300d640, 0x5c744b7d, 0x2412e0a5, 0x48cb1ecc, 0xf0f71622, 0x07d29895, 0x9342f484,
+    0x6b27ca84, 0x64a643f7, 0x5ce08064, 0x22f89cc3, 0x3674b8a7, 0x006c5138, 0x36ea3b43, 0x22d280f4,
+    0x40db169e, 0x870e4051, 0x9f52dcbc, 0x152ffdf1, 0x2444f45a, 0x85bb0de8, 0x8dc2293e, 0xedb0a144,
+    0x0b43b07f, 0x0e6bc3db, 0x3e78e743, 0x0d22ce93, 0x2b24752d, 0xc1f3f482, 0xb89e57ec, 0x457708a4,
+    0x97ef9212, 0x17e2a03d, 0x8cc55169, 0x4f5d581b, 0x39881074, 0x2a292afd, 0x95ce675a, 0x6544c90f,
+    0x503dd872, 0xef5dfa54, 0xcb9a8956, 0xac9de632, 0x572d5a59, 0x21b6a18d, 0xf31c73f3, 0xa9773af5,
+    0x52d5a23d, 0x617bd4b2, 0x78dfec91, 0x599d9b7b, 0xedcbb667, 0xb82c8363, 0x5c05f319, 0x49599b3e,
+    0xc52d01af, 0xb19a89e5, 0x506d57b6, 0x2f9dbd53, 0xb093452b, 0x025f1edf, 0x8aa0e28f, 0xb96c12b5,
+    0xa7bbd1ae, 0x5b85c3bc, 0x4f4c2af6, 0x2688f56d, 0x23e7c9c0, 0x45aa0cf1, 0xc281e30f, 0xaae24a4a,
+    0xa555d02b, 0x576412b4, 0x926f3ede, 0x825fd5e5, 0xe4628959, 0xb46f168b, 0xe84f3846, 0x1a70bcd2,
+    0xcf7d3a97, 0xd54f7938, 0x20a39c34, 0x35582ed1, 0x848d2dc1, 0xefa51eb3, 0xbb084cb5, 0x16814fe1,
+    0x3d7a03ff, 0x9a073029, 0xb60880dd, 0xf712af3e, 0xd5aec2f3, 0x6401d919, 0x5533c123, 0x295639fb,
+    0x863f9170, 0x4186577f, 0xea346f8c, 0x42079f21, 0x87780915, 0x7cc700ee, 0x3164721f, 0x718306d5,
+    0x8b90734d, 0x8217af71, 0xaa03aba5, 0xc9699972, 0xa815877f, 0x6977623b, 0xa6f7b861, 0x94b00541,
+    0xa597d75a, 0xb625f06c, 0xdc6e5e2b, 0xa349713b, 0x5bfb18f3, 0x87c90d47, 0x96ce6da4, 0x2c650505,
+    0xce93a8dc, 0xfb909f87, 0x8ee0bba6, 0x53f1016b, 0x6636e8dd, 0x3bfef6e7, 0x5c0f0ffd, 0xcff4674c,
+    0x5693cb7b, 0xa9d9a308, 0x67b337d0, 0x6670c96c, 0x7c3bd80b, 0x1f68d0b2, 0xd47ef4bb, 0x7f6e3c09,
+    0x5c3a0ab5, 0x358652de, 0x0cd5ae9b, 0xc4200433, 0xa6f543c0, 0x1ea9a3c9, 0x36fa534d, 0x8236a13a,
+    0xe6dde2cf, 0x8290e2ff, 0x6032dbd0, 0xcde90417, 0xb27d08b6, 0x02db5c53, 0x7e391815, 0x2e225c38,
+    0xb809582d, 0x29b399c7, 0xda36a4e3, 0x674ed4d0, 0x0d29db4a, 0x2b1e8596, 0x01a45fea, 0x22b6c844,
+    0x1e155566, 0xcbb948f8, 0xfe6116e1, 0xbb568069, 0x4104d521, 0x3bafbe92, 0xd8ba860d, 0xe50798bf,
+    0x32b935d1, 0xe5fadfb3, 0x1edeb24b, 0x7e453355, 0x88271ac8, 0xb259aaac, 0x3b3678f1, 0xc2dd3279,
+    0x9b360e41, 0x2cbd4bb0, 0x10ef3a39, 0x69e7636f, 0x7774232a, 0xe2219b93, 0x7751093d, 0xe7492947,
+    0x00000000,
+    0x5c8ea035, 0x6cb0f686, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000147573952589676412928 */
+  { 0x00000000,
+    0xf5101a9e, 0x7e6b919d, 0xf7021b80, 0xe28ad914, 0xd7d67387, 0xf3be8d9a, 0xfdb5c064, 0xd3f19b7b,
+    0x6167e635, 0x74244fd0, 0x6c93cda1, 0x457a7612, 0x92680d47, 0xd23ca831, 0x004c7093, 0xac854514,
+    0xfdac5d2b, 0xfcd1caeb, 0x6e977306, 0x12b79748, 0x98d81719, 0x065b53bc, 0xfe29b3e2, 0xdc354ab1,
+    0x3fd63c81, 0x895d35d9, 0x9ee73648, 0xa630d557, 0x60505989, 0xb6f3ce28, 0x518481b3, 0x2aebcb96,
+    0x9f945c3c, 0xb517bc29, 0xd61bc2bb, 0x4bc44cf4, 0xeef95c5d, 0xd7c57a02, 0xed40ce60, 0x0503d327,
+    0x86229c7e, 0x3523ee1b, 0x4aed1658, 0x1afb7183, 0x9cb6526a, 0x85206647, 0x87912e73, 0x4eb60c4a,
+    0x8cc5bb2b, 0x326d6511, 0xc017b08a, 0x8750199b, 0x0938a518, 0x708e1c15, 0xfbd92917, 0x0c4a1de5,
+    0xa11994bc, 0x799f3a5d, 0xf2f26f1c, 0xc8864b4d, 0x0ecf0522, 0x09fba166, 0x790811d1, 0x341804a2,
+    0xc16f7546, 0x202fbef5, 0x4d3cfb3f, 0x7e12aa7e, 0xbd747076, 0x885413d6, 0x9d2f58eb, 0x1d8efaf5,
+    0x91c33115, 0xaa9abc45, 0x7f1b958c, 0x767252e5, 0x81bdf065, 0xcfbd01d8, 0xdae36377, 0xd48ba28a,
+    0x7312be2b, 0xd168bb28, 0xcf986b12, 0xbbb9ad98, 0x6dedb109, 0x71711da8, 0xd268cb92, 0x19331ac4,
+    0x494ebb92, 0x40256423, 0x2a5e6027, 0xe701ccb1, 0xf86361cf, 0xd41aa561, 0xd2fdaacd, 0x76e40b21,
+    0xc794725f, 0xd47b8289, 0xa1b5484b, 0xfe49f1bf, 0x93948c45, 0x578694ac, 0xce8a5345, 0xc5253757,
+    0x601a14ee, 0x005200f5, 0xeeabb038, 0xb5124a3c, 0xfe5c9af0, 0xda0ca019, 0x08c2ddbf, 0x1e87d402,
+    0x151bfdaf, 0xf20023c4, 0x8b820541, 0xdc837ae1, 0x8037bce5, 0x5db111c5, 0x277b5229, 0x87016372,
+    0x7dd7b497, 0xb5e60a2e, 0x8ccc7561, 0xa3d60c86, 0xb7fc75ee, 0x1721e156, 0xe531426e, 0xe753b5d0,
+    0x27daf07a, 0xde84ff99, 0x28067089, 0xff2a61dc, 0xa995cc53, 0x4a63b0d1, 0x61d498e4, 0xe9cc4ae5,
+    0x1e7e9aa7, 0xfebaba2e, 0xafa948e0, 0x325ad117, 0xb717a06a, 0x1a10c740, 0x1a2af741, 0xdc718adc,
+    0x663826ab, 0xc60e5eb4, 0x8eadd683, 0xd282e620, 0xe807e097, 0x24501f45, 0x8eb13c40, 0x6806d420,
+    0x647dc60c, 0x5ba9a969, 0xa13d73d2, 0xa46aff96, 0x50b4d732, 0xb70edd1e, 0xeed55346, 0x88e5dee9,
+    0xf09b4d1f, 0xe68d7ede, 0x0884d3b7, 0xf42ade90, 0x7cb1846e, 0xfda375ac, 0xd9899376, 0xd460fb4b,
+    0xafbd5dc6, 0x1388ee67, 0x51182f39, 0x74194264, 0xa928f586, 0x9fefcf01, 0x31fc2d8f, 0xc4ef5719,
+    0xf0b0a11c, 0x8b34ea3e, 0x95e58fcc, 0x927122cd, 0x1e2e608a, 0xeb67d602, 0x1221e5cb, 0xd433f7d7,
+    0x96081759, 0xad1841d6, 0xcc2a8299, 0x893506c6, 0xb5692e91, 0x3cb67306, 0xa5dbf387, 0x20be3e8d,
+    0x1952cdd8, 0xfd9f1249, 0x6e16e576, 0xe602c866, 0xe8964361, 0x2ee76787, 0xdeeba992, 0x2f62cafd,
+    0x9f733194, 0x03c18396, 0xff9fdb7a, 0xfcfde828, 0xe11f2c75, 0x73439af1, 0xae8965cb, 0x146de658,
+    0x5f801302, 0x74236414, 0xef8a3d00, 0xd1410bbd, 0x74f20a46, 0x01757e73, 0x8adc7864, 0x8cee6f78,
+    0x905fbf75, 0x1fd8e40f, 0xcff7fd3c, 0x0ccc7a38, 0xd355add6, 0x1083752d, 0xcd0479a2, 0x9db8ee08,
+    0x931999bb, 0xd7255b71, 0x06388ad0, 0xfcf22c40, 0x37e890c1, 0x2ea860bd, 0x722032db, 0x5266bbbd,
+    0xd5e8d55d, 0x6d3e5cf4, 0x9b935202, 0x91b8458f, 0x87276b6e, 0xabbdb9b7, 0xb4159ce9, 0x7e5837f6,
+    0x78981782, 0xed4b6dde, 0x829a618b, 0xad6508ef, 0xde571ff8, 0xb2807b99, 0x0bf40df2, 0xb04799fa,
+    0xb1c5ee37, 0xbee9d3bb, 0xe4f764b9, 0xc6a5643c, 0x627da8c9, 0xe1d6dbb2, 0x150149f3, 0x4eb7881a,
+    0xd735e2a5, 0xa0aa02e7, 0xd6ab4eba, 0xd97ce516, 0x890ac235, 0x904c6c20, 0x2f4f1f0a, 0x5c7cc3b6,
+    0xdd629094, 0x09a6f477, 0x828ee598, 0x94eb74ac, 0xce3f4621, 0xc12313ae, 0xe2bcb5a4, 0x5abebfa9,
+    0xf33b4bdb, 0x0b34f42f, 0x691ecc6b, 0xa4731e9f, 0x951dfc94, 0x3955abfe, 0xd1eec233, 0x41c0d051,
+    0x563172cc, 0x8e7abdb6, 0x94fc721a, 0x98d5d4cc, 0xfd8b748b, 0x2912b46c, 0x9a0f1441, 0x53c0c6f3,
+    0x434049e0, 0xfe23dc6a, 0x1f5938af, 0x6dbafb3f, 0x5eb7406b, 0x39848e65, 0x40391d7d, 0xe863ca18,
+    0x910a1506, 0x11258af7, 0x01a79da7, 0x3caf175a, 0xa7037d20, 0xf274e382, 0x7c64161b, 0xb2a0f9a8,
+    0xca55acc4, 0xade48c7f, 0xb9ab4e02, 0x00d054f4, 0x194d591a, 0x9a7f131c, 0xa012b50c, 0x5c1b3f18,
+    0x29b9afe4, 0x00a0830d, 0x91fd2e72, 0xf960bf07, 0xbfb832d5, 0xb303ff9d, 0x2ac5ebe8, 0xafbdc941,
+    0xdb2bf31b, 0x2c16de97, 0xc25d7014, 0xe4009bee, 0x071d769b, 0x363bb533, 0x8f50ab2d, 0x29cb6d2d,
+    0x3ad84f03, 0x4ed75c51, 0x41c3ce9d, 0xb08d690a, 0x408a594d, 0x875e395f, 0xf1aa01fc, 0x2c1f7d18,
+    0xcac38c6e, 0xedec3652, 0xbf91474d, 0x1840441c, 0x76daaac9, 0xd2172904, 0xffaee118, 0x3d0e33d2,
+    0x089a60ca, 0x01564bf5, 0x66f75cb4, 0x725a10a1, 0xb2ccad68, 0x4873da60, 0x8c3a24e9, 0x79bd7179,
+    0xff09471c, 0x5ff81035, 0x78fbc50d, 0xeb5b358a, 0xc10e12dd, 0x4636b83b, 0x7dde4588, 0xedc1499c,
+    0xe5568d8d, 0x64a03f45, 0xdd166696, 0xdc668de2, 0x642f2944, 0xbc816fdf, 0x0eb749f7, 0x3de6885c,
+    0x035c0c2c, 0xf92873ea, 0x55346edf, 0xf63d3d1b, 0xf2922d48, 0x55d6c486, 0x7f673ca5, 0xed7ac8d2,
+    0xb38a2fb8, 0xd45844d0, 0x2b094255, 0x98ef66d7, 0x7a654c0a, 0x8d2f321e, 0x622a6553, 0x33d50e2e,
+    0x002da3cf, 0x21c6631b, 0x39744c85, 0xefdbff82, 0x5a8c8a38, 0xcae52445, 0x68ae4503, 0xf51c8430,
+    0xc8867c39, 0xd4fcb84c, 0xd233dffd, 0xb1481b33, 0xa699b437, 0x270e05e5, 0x377b7eaa, 0x07bc4fab,
+    0x8d6ccc12, 0xbf95858c, 0x77410bea, 0xce247d48, 0x99cbdd20, 0x014606c3, 0x82ccb520, 0x505c1426,
+    0xa4674ede, 0x37c1d959, 0x49478a98, 0x785ab3b0, 0x953be99b, 0xa357c2bd, 0x59d4a3eb, 0x5f913311,
+    0x1e61b2b7, 0x1217b15c, 0xb795fff4, 0x49951cf2, 0x5e4e55eb, 0x8f015929, 0x9e663b20, 0xca6194b5,
+    0xae8e056e, 0xb46dd780, 0x0317089f, 0x22c5577b, 0xfed2f8e7, 0xbfd58146, 0x7eccd0c7, 0xdacfd3b4,
+    0x811d9952, 0x03e2f312, 0xcbac0627, 0xe6f157c2, 0x72b92adb, 0xbb43e006, 0xebad5dbd, 0xb966fc55,
+    0xe93ccadf, 0x3db4eab8, 0x7114ae4f, 0x5d6b7fd4, 0xaa6bb7ee, 0xcee3f811, 0x31299524, 0x0ef05db4,
+    0xb8ec77b2, 0xc5f200d6, 0xd82f681d, 0x3639e1ab, 0xea32557c, 0x27b69cef, 0x21840ddf, 0x3769c096,
+    0xb2127e55, 0x3a817239, 0xb73bb4f4, 0x518dd5af, 0x9740c910, 0x46ed0c3c, 0xf94a02ef, 0x721af7f5,
+    0x689d646d, 0xb8f8d759, 0x0e35c1f5, 0x6e814245, 0xe8234e31, 0x609ba04d, 0xed21cea4, 0x997b152b,
+    0x3ec039d9, 0x82d004a4, 0x0d84acd6, 0x82f94647, 0xe82d0544, 0xe6c046cc, 0x222e075c, 0xc54b566b,
+    0xc7212379, 0x746ab200, 0xd58d5601, 0xa4e200d0, 0x74d510fd, 0xd1a63123, 0x33eaf80b, 0x36fbbc2f,
+    0x440e6535, 0xb0ca5046, 0x40ac7472, 0x171b97e7, 0x92388d0f, 0x70a43a6b, 0x76e865dd, 0x8cc1a72e,
+    0xea94d218, 0x1a387f45, 0x64e2cc1e, 0xf5f467a7, 0x15f0d576, 0xe9679caa, 0xb3b949e8, 0x17bf487d,
+    0xaf5ee220, 0x8098fa0f, 0x5311f6f2, 0xa47bad79, 0xbd4a904a, 0x5a8969f6, 0xc92e6a98, 0xcabcb5db,
+    0xcfbf4f82, 0x6c2574ee, 0xf69a0c4c, 0xe8f30428, 0xc7c2b436, 0xedb45924, 0x8296cdee, 0x8904d3f4,
+    0x7f1e86cd, 0xa885bf46, 0x880520be, 0xcc36f9bd, 0x1065f779, 0x4fafeb6e, 0xb2976966, 0x40e47667,
+    0xb046dde0, 0x937c48be, 0x45af94f8, 0x3eccfd98, 0xcb5a2c8c, 0x2562c424, 0x4fa58f32, 0xda73740a,
+    0x3544ee38, 0x8ed3a629, 0x53e3079f, 0xcfc42534, 0xea112725, 0x3a018a2e, 0xc8d19d47, 0x25657d8d,
+    0x3804a243, 0x0ae576ad, 0xdecc5a07, 0x1aac7ef6, 0x518481a7, 0xa39f9c61, 0xb4dd84fd, 0x3fffe10b,
+    0xfb227b20, 0xac8bdd7d, 0xd83e7ee3, 0x163d6fd5, 0x4e20f6fc, 0xc258f790, 0x446a4f39, 0x1a8e4d47,
+    0x6c3c62d4, 0xa37f4ad6, 0x727406f6, 0xb6054be6, 0x13a95102, 0x2e2ed5ac, 0xb3b9aa16, 0xe3b63071,
+    0x11319d3d, 0x23eaae34, 0xd5e473f1, 0xd6f16fa7, 0xef5310e9, 0xf04bf84d, 0x0e8ad1c1, 0x8b336c31,
+    0x092a76e3, 0x3f20543d, 0x7ffb7030, 0xa999b42e, 0xcaa007df, 0x2478d3e5, 0x16b0758d, 0x7e808c81,
+    0xe8eb1733, 0xfe758272, 0xc81ee248, 0xa7884238, 0xb01a5779, 0x7968d33c, 0xcd7f8c21, 0x3b13dfa3,
+    0xb7965912, 0x314975bb, 0x5cea0bd3, 0x90a678f9, 0xc0e44a39, 0x4ef1f80c, 0xb4fac633, 0xffad0449,
+    0xced0c794, 0xeb29460a, 0xc9de0bb8, 0x8db1a188, 0x4cd2be92, 0x1bbb973c, 0x3faef551, 0x3f4fe28e,
+    0x9f8b4389, 0x09e3c4ac, 0x824062f1, 0x262e4aa0, 0x1ec863fa, 0x42f98f0a, 0x38b184cd, 0x69269680,
+    0xbd795270, 0xdf44a5b4, 0xe484cb48, 0x4bda029d, 0x77f32a23, 0xa5f88a1b, 0x97b22f6a, 0x50282882,
+    0xd8d8b043, 0x3b32db1e, 0x9658c66b, 0xc2af5e0e, 0x24647afd, 0x9e6830ca, 0x0c858e87, 0x5894651b,
+    0x3ff3d19f, 0x94c8ba03, 0xc3892df2, 0x1d402866, 0x4b7dba25, 0x67519333, 0x7e0b45c0, 0x26ab9031,
+    0x1dadbfab, 0xbf50df95, 0x5806dbb7, 0x8b29f589, 0x689628ee, 0xa41b7bf8, 0xe56498ba, 0x6d382b33,
+    0x18457d01, 0xa6c88f24, 0x4a6616f0, 0x5527989b, 0x42a6db51, 0x200672d5, 0x34ccdf73, 0x29cb843f,
+    0x6b27622f, 0x1095b89d, 0x9068c1de, 0x8a04bdba, 0x6c05963a, 0xeb3dc060, 0xf4fcfa88, 0xd391ece0,
+    0x6a59363d, 0x12e7373f, 0x89a43c6a, 0x00c314d2, 0x2c73520b, 0x55b26eda, 0xcc077816, 0xd0293452,
+    0x6dbd9000, 0x25b009e5, 0x915f2d12, 0x945d38a8, 0x8f3b8278, 0x03b668b5, 0xe14f06d1, 0xd4b5c4c0,
+    0xfb2c38f1, 0x959724d0, 0xf9f086c5, 0x056d920d, 0x99c69ac5, 0xd3f64256, 0xba0f74f9, 0xc257294e,
+    0x60415b36, 0x7ce6af6b, 0xa44c892e, 0x37f4abcc, 0xbb91ba95, 0x002ee5df, 0x5eed6035, 0x750715af,
+    0x2809c057, 0xe9f07699, 0xfb635964, 0x774840a8, 0xcfe1fa4e, 0x87ad9cb7, 0x4971e784, 0x18efddde,
+    0xa29f8379, 0xffb5e456, 0x2db43163, 0xb8022dea, 0x17f0dbd8, 0x61496ac1, 0x02e053e5, 0x9369e243,
+    0x58e4dfdd, 0x54766b7a, 0x456197e5, 0x4fc98d3d, 0xd9c157ce, 0xfcc051b5, 0xb0f95737, 0xdeaf2557,
+    0x1a59fb5a, 0x80e1e33c, 0x8c0efb0b, 0xd8b9d6fb, 0xb36c8c1b, 0x37a7ae86, 0x85c639a0, 0xab45dc21,
+    0xf1dc85b2, 0x55ccf93e, 0xf924ebdb, 0xb4e7bdb0, 0x0a43b3f9, 0xed98a719, 0x79648c57, 0xf2b7192d,
+    0xa69af498, 0x9597a58b, 0x6f16bbd8, 0x7a0c478e, 0xfe9f166b, 0x5c07cd01, 0x9da2489b, 0xd907b9db,
+    0xd039a1b2, 0xef6dd7ba, 0x06fe0e47, 0x6884a6b1, 0xe11fb44f, 0xb1fd9b42, 0xd51e759c, 0x7f84b37d,
+    0x0b9d85c0, 0x8bd5624c, 0xfe5decfa, 0x5438011d, 0x849bfcee, 0x21030d5b, 0x5babad6f, 0xae24cb6b,
+    0x4523e62e, 0xc64e1469, 0x828a28f6, 0x294f6d2f, 0x658cd4fb, 0x524dfa56, 0xfbf328ec, 0x4f9985d5,
+    0x755f7789, 0x2f32566b, 0xe01cae4e, 0x165197ce, 0x5d57f648, 0xb754bcb3, 0xdbdb1ba5, 0x40e45414,
+    0xaeb1e463, 0x6782edcd, 0x3cf2bf66, 0x5f1de884, 0xc9d96227, 0x971c2595, 0x24db7c9b, 0x5a881577,
+    0x07edef53, 0x7d6dbd26, 0xeab37fbf, 0x56927fbf, 0x8b765380, 0xb8c8f40d, 0xce1d058c, 0xab2e5e40,
+    0xc6bb7330, 0x52756ef2, 0x869b38dd, 0x87dd25e8, 0x7f1b6cfc, 0x2be47cc6, 0x9b519cfa, 0xf7ac39f7,
+    0xe58c3f79, 0x72a59f75, 0x0003e895, 0xc8e2796f, 0x356d0045, 0x71a36ef5, 0xe6108ba0, 0x89753036,
+    0xc803f962, 0x22a6ab63, 0x22b53fdb, 0xcbbccb5c, 0xc7f390e7, 0xdfe6e4d7, 0xec320f17, 0x7de6abb3,
+    0x13887a52, 0xf9d09ba7, 0x9d816422, 0x4aa60145, 0x7592a2d7, 0xe55b28bc, 0x85c66184, 0x36798dee,
+    0xd1e08aab, 0xfab8c102, 0x05e03409, 0xca324950, 0xcb26edc0, 0x74d2a065, 0x373ec1cb, 0x7c24fc68,
+    0xe1a0dbe5, 0xc8376041, 0x9cb782fa, 0x6f75c80c, 0xe67e337f, 0x73b7d3fb, 0x9feedb64, 0x7561ad02,
+    0x58dedb6c, 0x8ce04cf7, 0x2dc8d93b, 0x61b803df, 0xa7b4ae4e, 0x728ec76f, 0xbbe3edd0, 0x293ecd53,
+    0xcc0abb6a, 0xa8df32e6, 0x5000d553, 0xbd43d555, 0x9ea89e82, 0xdbeec3f2, 0xccecaea3, 0xe5df5c44,
+    0x54d71197, 0x8b9a8850, 0xdafe9b54, 0x27783923, 0x0ba6f0e2, 0x5519df10, 0x7dc5ab88, 0xa040d549,
+    0x954847dd, 0x221f1f8b, 0xf427670b, 0xfa523752, 0xa95a823d, 0xda36a239, 0x451e492d, 0x0ff65da0,
+    0x18de4d1e, 0xf64e2cdd, 0xfcadc1a5, 0xa1ae1e61, 0x6cd52251, 0xdfad65b5, 0x44eb81f0, 0xb91585fd,
+    0x5d9634e7, 0x05fa03a2, 0x893e2240, 0x8080c7de, 0x4d422e07, 0x2a4ae978, 0x4311fcba, 0xf6744ee4,
+    0x4510c255, 0xc968c186, 0x12ae8ffe, 0xfb70b40a, 0x3c8d661c, 0x2d550d0b, 0x48c3f323, 0x2998663d,
+    0xc3de734e, 0x7ecb1753, 0xe4c7a2fa, 0x4be7eef0, 0xf4b62c03, 0x302384ce, 0x705f9b79, 0x5005e7cb,
+    0xfd66678a, 0xc49450ec, 0xe9fed37f, 0x76cd485a, 0x8a344f0a, 0x96ba2e07, 0x9d6e9b17, 0x2e45fbde,
+    0xd42bf52e, 0xe5f88bf7, 0x27fa3bc7, 0x0e9a0fda, 0xac2875f8, 0x575a2360, 0xba8f5c01, 0xc3fca7a8,
+    0xc013b22c, 0xf7bfed3f, 0xcd2a144a, 0x07fe2830, 0x384d61b6, 0x32a124e9, 0xbe87d447, 0xf1571a6a,
+    0xbb1a1706, 0x13dba38a, 0xe17367d8, 0x85010161, 0x1de51588, 0x13f82e9f, 0x49418150, 0xb1e94758,
+    0xd1d3062b, 0x22ca52e7, 0x3f7f4b62, 0x08261e04, 0xbff82633, 0xed42a517, 0x6c71a24a, 0xe84e246f,
+    0x98fa53f0, 0xd3378b14, 0x98101045, 0x8cbc1623, 0xfd57dbd3, 0xdfebecd0, 0xc258e9a8, 0xb7372034,
+    0xf9df5ca1, 0x4b6cd599, 0xc48eb994, 0xdf3cb9b1, 0x6b7d8eef, 0x0a8bd94e, 0x8b12a8b7, 0x8eef4722,
+    0x8786835b, 0xea7aeeb4, 0xf8c00340, 0x175236ab, 0xf3b26df6, 0xfb9cd588, 0x1007cdbb, 0x9ede345a,
+    0x9208c0a6, 0x3efec8eb, 0x4d990ce1, 0x50786e1a, 0x01979e00, 0x19df223b, 0xe5fe6c6d, 0x9099640a,
+    0x786dcd23, 0xc813cc6c, 0xaf60b3ec, 0x0b95da62, 0x6562e65a, 0x8a100c43, 0x0b54edf5, 0x013984e0,
+    0x3de5ce1d, 0xd50427e7, 0x8936f7b1, 0x10de3372, 0x307999e7, 0x990ef63e, 0xbbe272e4, 0x26799169,
+    0x5adb5936, 0x3455e3b0, 0x97a5d26b, 0xb3ef3c75, 0x56d50569, 0x093762c0, 0x11445a5a, 0x26191930,
+    0xbf449ffc, 0xcf31c33d, 0xb2f4a44e, 0x7580e999, 0xfc006865, 0x21c34773, 0x98fa0077, 0xac0f502a,
+    0x00000000,
+    0x2e47501a, 0xb6587b43, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000073786976294838206464 */
+  { 0x00000000,
+    0x354ecee6, 0x5f9fc3b4, 0x48ee3974, 0xf27b9f46, 0x56efa34d, 0xf2a9b872, 0xd552d0ca, 0x7d37c3a9,
+    0x2ba3b2bf, 0x31c58db6, 0x827b8981, 0xebdd3f3a, 0xef7907ff, 0xd96a3945, 0x09743bae, 0x8a3e7d33,
+    0x3bb6daa3, 0x794cfffe, 0xd688fadf, 0x9540517b, 0xd49ace7e, 0xf7106c07, 0x313d8d62, 0x97f12908,
+    0x24fb30b3, 0xf857df19, 0xc431ef95, 0xdd224121, 0xa3794aba, 0xa379877b, 0x6fb1b89e, 0x25bed95f,
+    0x86f338bd, 0xd61fca31, 0x704923ba, 0x1f374161, 0x89f0a546, 0x0042fbc5, 0xbad21694, 0xc45eb8d0,
+    0xdd9106f1, 0xf466861c, 0x0101dee8, 0xf98181cb, 0xaaa77bf5, 0xae70bac9, 0x29f2f6e9, 0x6548c0d0,
+    0x40ce86fb, 0xb3d81bad, 0xfbf23b81, 0xdc88fe2b, 0x543b203b, 0x5a9c99e8, 0x214d81fe, 0xc1afc541,
+    0x85d326d6, 0x922aa093, 0xefa245dc, 0xe9b7311e, 0xd07747d8, 0x272b3b6d, 0x8f7e9b0e, 0x80e8e86a,
+    0x9a22b817, 0x1812181b, 0xe2e04623, 0x209478cb, 0x3337a255, 0xefd14ecb, 0xa76a14da, 0xbe1970c2,
+    0x34b6e92a, 0x5287b0e7, 0x68901ac4, 0x52a41698, 0xbb011fd8, 0x5faa2ff6, 0xa0af1c7a, 0xdcb2d0ed,
+    0x9d63f956, 0x1ff3bd26, 0xcd2c459a, 0x511a8c72, 0x2a49129b, 0x07f44043, 0x8f3cd42e, 0x86943b0e,
+    0xe358c1ed, 0x2b8cc410, 0xc87853e1, 0xbb010e78, 0xf23fdd45, 0xb6f72642, 0x9aeb362a, 0x397eb71e,
+    0xe327a01c, 0x72e308df, 0x6fd7f5a4, 0x89cd8036, 0x41c51cac, 0x7f7241f7, 0x7e559333, 0x4a6b2b50,
+    0xc411de33, 0x9b0647c8, 0xa8414007, 0xa1d1ceea, 0x51210346, 0x4d713f7f, 0xa49dae2e, 0x762e134d,
+    0x6ba908ff, 0x33fbf1b9, 0xcb26c2bd, 0xb5ad3784, 0x72189083, 0x50585e00, 0x6ba241c0, 0x7b59de28,
+    0x73971bd7, 0xe46be421, 0x13f40181, 0xb1bc9aa5, 0xb8d019fb, 0x9cd75d6b, 0x40978536, 0xa1b8c850,
+    0xa00f064a, 0xd00bd493, 0x43fe9923, 0x6ace0f0d, 0xc9227e55, 0x7dddbd3c, 0xb9fd1570, 0x77b05f35,
+    0xff566554, 0xf0d9f6ab, 0x4059dd0b, 0xe3c96a9f, 0xa7609f6e, 0xe42a16b8, 0x4c08e4c7, 0xd8d26eed,
+    0x4a8d2911, 0x4e335ef4, 0x69478839, 0x83f475d6, 0xd70d5756, 0xf56e4986, 0xff699336, 0x2d419133,
+    0x05bcd927, 0xc917ea17, 0x3850f99c, 0x5198013d, 0xf598628f, 0x2e2153ea, 0x1836cb46, 0x307447b8,
+    0xf1869de8, 0x5cf0b97d, 0x628a52ac, 0x0d36fe45, 0x4d10b555, 0x94ba67a8, 0x17442190, 0x5e695677,
+    0xe49a6836, 0xbc1e7d2a, 0x6d54412d, 0xa5ce8d3f, 0xe354c82e, 0x06817724, 0xee4f6f33, 0x2cb534f8,
+    0xdef75738, 0x99e197a1, 0x62028895, 0xf5f902bb, 0xa220105b, 0xb6a42893, 0x6676cb65, 0x8355b84b,
+    0x4456ecce, 0x63aba473, 0xff4c8b83, 0x81addf02, 0xfb49700f, 0x8b47d306, 0x8998bca2, 0x5a4369e2,
+    0x80a81f86, 0xec442d10, 0xc8fcc93b, 0x4f2f320b, 0x9e0f275b, 0x9a6b7e5d, 0x98a6e61c, 0x1b66b814,
+    0x9a696176, 0x63f3c30f, 0x0bcaa7d2, 0x0ee6c3f9, 0x3b3484d2, 0x6350048e, 0x11ba87b2, 0xb9f01012,
+    0xa8eae7ae, 0xcfca1a50, 0x89334366, 0xfd62312b, 0xc6d34f1b, 0x9ae1915e, 0x4e197af6, 0xb17ec643,
+    0xf37b0b3c, 0x736a1880, 0xd54fb0fb, 0x5f28ee90, 0x77306523, 0x38e7f995, 0x431adaba, 0xbfa08621,
+    0x032a0d39, 0xa747d60f, 0x86753b52, 0xf477b93d, 0x9abe83fa, 0x3e7d6ed3, 0x1779557c, 0x11934c7e,
+    0xf80df3ee, 0xb4df6463, 0x2f0d3b4d, 0x362ecb3b, 0xa63e70e0, 0xe55a33f5, 0xa55e846b, 0x14b38ddf,
+    0x8a28194b, 0xaed70791, 0x0b96e089, 0xd7ab493c, 0xe0d33baa, 0xa5b96afe, 0xbd17a3a0, 0x0b4907ef,
+    0xac0b1362, 0x1d5ab7d7, 0xaf4042ea, 0xbc09423f, 0xbe3ab320, 0x49e76209, 0xeece4236, 0x9351460d,
+    0xb0a79fd4, 0x3b61cea3, 0x6336c6c0, 0x057295aa, 0xb4556e0a, 0xcff2573d, 0x5ed63c37, 0x53a73884,
+    0x18a38f8d, 0xd25c7c8e, 0x3c3433c2, 0xecbfcbd5, 0x3e464f14, 0x55c3d27f, 0x258cef83, 0x5ebd8ea2,
+    0x7d922f32, 0x81fc13ca, 0xed98987a, 0x36f9b51f, 0x3db9b1d7, 0xe53d6f86, 0x0affdb7e, 0x97256419,
+    0x88376a3d, 0x6b034de8, 0x4e24f12e, 0x439ffdd7, 0x28f6b22f, 0xff3b1866, 0xcd1c42b2, 0x8377f9f4,
+    0xddde0baa, 0xd6e7c6e5, 0xc858260e, 0xb347d3ec, 0x730ec391, 0x83082ef0, 0x2eafc4b8, 0x4724afc4,
+    0xe23eb296, 0x43552283, 0xa42a5813, 0xe9ce6e01, 0xebff92b0, 0x4c43ce75, 0x13513280, 0xddf9adbb,
+    0xc91737e5, 0xfc77ced3, 0x01a8600d, 0x34660d5b, 0xf915331a, 0xa04b49e5, 0x62818029, 0x8eb4d082,
+    0x30e0f81d, 0x3e6d7ae0, 0x698df1aa, 0xb723e644, 0xec3d4f26, 0xcb4a703c, 0x8526ca66, 0xb3113974,
+    0x522736eb, 0xa0da244f, 0x94586367, 0xe8172871, 0x77bbc2db, 0x476876ce, 0xed9f833e, 0x217bfbd8,
+    0x0f7af84d, 0x61fa6a7d, 0x8b6a5dc6, 0x2a64ef6c, 0xa3b13235, 0x4c3f1bdf, 0x60894176, 0x13ba5840,
+    0x066ad599, 0x9edae3f5, 0x0d71e4d4, 0xd264199a, 0xae9c0204, 0xfd319559, 0x0609a59c, 0x75fc92dc,
+    0x60a62707, 0x3bd02603, 0xf71d38d7, 0x85542d23, 0xb2c646ab, 0xbf6c72a0, 0x1f900ec6, 0xc0fb93aa,
+    0xaaec380f, 0xa32efa9f, 0x8e1c0829, 0xded61c8e, 0x31cd784b, 0x0bac1413, 0xf3e5dd04, 0x2817cfa6,
+    0x69bc1851, 0xc3b5fda3, 0x172b45be, 0xb5674129, 0x867fe024, 0x460e85f9, 0x980f03a0, 0x92e8ce19,
+    0xf256396e, 0x88b4d14e, 0x0e70d994, 0x33fae68d, 0x381d8448, 0xf2af29a0, 0x55dff495, 0x6d7b87c4,
+    0xa95800e5, 0x0cdd6580, 0xb797b86c, 0x5517a286, 0x6534bd32, 0x5c387591, 0xa5861aa3, 0x557d160f,
+    0x6dcc587e, 0xa252e9fe, 0xde73fbeb, 0x29594458, 0x3d0c0388, 0xd7823f78, 0x9266d0e0, 0x80371336,
+    0xede0dda2, 0xfe26bdd1, 0x7271a24a, 0x05a59793, 0x001988be, 0xbd56ef60, 0x75f4482c, 0x02339590,
+    0x2b4ff324, 0xda5e868e, 0x6e81aba0, 0x79cad5cc, 0xb706fdd5, 0xaf3f6625, 0xde6f31a4, 0xfa18efc5,
+    0x5ab80ab3, 0x7ca67791, 0x0e6994fb, 0xf8a8b305, 0x74cabf1d, 0x843f2abb, 0x9f121166, 0x694c8c70,
+    0x6c3a29dc, 0x07c66d00, 0x92a46c8e, 0xba8b9720, 0x8e65cc88, 0xb64c8c01, 0xac02df1c, 0xe14396ff,
+    0xb4642eee, 0x528e6899, 0x215718e0, 0xebf7d7c4, 0x91bfa8f6, 0x242eec22, 0x2ffe7a3c, 0x9847accf,
+    0xe01e8949, 0x6e63bedf, 0x203813fc, 0x98c820e0, 0x0f0ef285, 0x0faf0e0f, 0xfdcfaabc, 0xb9150642,
+    0x8563c166, 0xaa50f12e, 0xed16609d, 0x20a39dc6, 0x461ab9e1, 0x36ab31a6, 0x8b82876d, 0xb2efcaa8,
+    0x6fa1cd5e, 0x5707c9d5, 0xbd5fffca, 0x2817bcc9, 0xeb298dc6, 0xb0da9a9b, 0x05a2cda2, 0x13806500,
+    0xb08560d1, 0x51a21960, 0x6898fbf1, 0xeab15ed4, 0x3928f5a5, 0xf2117083, 0xdb6133c2, 0x980a04d4,
+    0x982f2d48, 0x96b54133, 0xcf3ca1dc, 0xd0b9d4a8, 0xf072ebce, 0x0b795b14, 0x77d2a02b, 0x999d8464,
+    0x07012001, 0xaccf8bdb, 0x1f3e7428, 0x5436c86c, 0x7db3f35d, 0x1e18fe0a, 0x91d5e73b, 0x8559d4b8,
+    0x303e145e, 0xec0a1c67, 0x79d7b877, 0x1bc71136, 0x4b0eb3e6, 0x0e385ea5, 0x5413e7f3, 0xc01abcf4,
+    0x33b5b07b, 0xeb2e3219, 0x47940468, 0x03e02565, 0x7f80c532, 0xd49b0bef, 0xb841fc68, 0x6e97dea8,
+    0x9e917b53, 0x5d566e82, 0x11460e95, 0x4157172e, 0xa171602d, 0x683d296f, 0x70412129, 0x82005014,
+    0xa9ea4614, 0x0abf6a7a, 0x3b904c0c, 0xde6b6d8e, 0xcd465c87, 0x149033af, 0xbb9ffd3e, 0xfaf64dab,
+    0x3d063bc5, 0xeb5798ed, 0xa7538c01, 0x2fe44a30, 0x82af398a, 0x1a16efbe, 0x016202b2, 0xeade8c15,
+    0xb27491bb, 0x8f83d517, 0x6baa8f9c, 0x3ceaf49e, 0xbeb097ea, 0x96fefc9a, 0x4cc44bd2, 0x632adfc8,
+    0x26e9f007, 0x61bf77e2, 0x3319ecd9, 0xcb98cca2, 0x9a22a240, 0x993c52f2, 0x67781d54, 0x1d142d74,
+    0x8037a0f6, 0xf995d393, 0x4eb606ba, 0xb218862f, 0x3c36b1af, 0x4aa39fea, 0x0ca084fd, 0xadfb66fe,
+    0x7b24fb10, 0xc9219cd3, 0x98207ca4, 0x2f58c529, 0x2b2be2a4, 0x710d518f, 0xc9016e0b, 0x79d7dc03,
+    0x81a8625b, 0xd8cf829d, 0x9f57ecc4, 0x06ff21b7, 0xe38db278, 0x0b5e2e5d, 0x730d0e95, 0x7f12e7cc,
+    0xf4bdfe5e, 0x407dfb6c, 0xa14c275a, 0x13313f0b, 0xdf1d4a0f, 0x2359ac6e, 0x6793c4fb, 0xe5bb9c79,
+    0x3b2a2e67, 0x5124b5a4, 0x6180cbe3, 0x54e0e9c3, 0x912b6ba6, 0x8bf33ba3, 0xed97c036, 0x09fb6c95,
+    0x0132c417, 0x4eb91b4a, 0xa0d97b63, 0x6b43ce05, 0xfbcc23db, 0x6d0d83ee, 0xc87367de, 0x38460495,
+    0xc41fec48, 0xe9f69ac6, 0xc504b3a1, 0xa2198031, 0xed029098, 0xaceb6794, 0xf0c22596, 0xbef60708,
+    0xa185fe55, 0x6fa6be89, 0xb6eed5ca, 0x930b15bb, 0xb1342f26, 0xf7b1daa1, 0xd8676cd6, 0xd238b952,
+    0xabe59886, 0xf5d0eacf, 0x1fab6bdc, 0x8c159d30, 0xf063462e, 0xd4f89700, 0xaf4ea811, 0x8a826e99,
+    0x01b30bd6, 0x33eea0dc, 0xac593b87, 0xc436a623, 0x3d475ddb, 0xa629e4bc, 0xadebb858, 0x7fcb5f13,
+    0xba1535b8, 0xcf140787, 0x99d07101, 0xd57625dc, 0x922950d8, 0x4145480a, 0x4c71eb00, 0xe5eca4c5,
+    0x11c290b5, 0xfa4be6f6, 0xbd14a9eb, 0x1b7dbecf, 0x29ae5e34, 0x6733764d, 0x2c5ed001, 0x3e3a7e2b,
+    0x9392d6ae, 0x4916aa2b, 0x2b7f215c, 0x5a694fad, 0x38a0828c, 0x5ab3c114, 0x91e9a066, 0xd320c7b3,
+    0xd1b91754, 0x64b30a00, 0x3c7f2e74, 0x6f2ecdff, 0xad34dc27, 0xd5b07758, 0x3e3e77bb, 0x94f78a29,
+    0xd3ca36c9, 0x1dd0e08f, 0xe4b3a67d, 0x1283c5bc, 0xea4d26ce, 0x6c7f3aba, 0xeacfa9a2, 0x2daf777b,
+    0x017b892a, 0x6a5d82bc, 0xab4bf0f5, 0x963c7156, 0x904fa5c3, 0xa7161f2b, 0x798281fe, 0xf7f25490,
+    0x133716b5, 0xdb57581c, 0x4701ded5, 0x8d1d1332, 0x66e0416d, 0x2c226fbf, 0x6243597f, 0x061e9a26,
+    0x04a15db4, 0x30e89992, 0x48fab748, 0x4c17f84a, 0x9d2f7bbd, 0x7c9dd87a, 0xadc5eef6, 0xb5ae9e2d,
+    0xaababf33, 0xf78ed100, 0x366a81aa, 0x7867f162, 0x96451c69, 0x22da7fd3, 0x15cf67eb, 0x4325ef12,
+    0xad450cd5, 0x09b5af2a, 0xe2dad456, 0x01e520ae, 0x1af2f9ec, 0x77764eb6, 0xa0b086d8, 0x8bfa3166,
+    0x83cc63a8, 0x2aeea706, 0x624b519d, 0x270bf6a0, 0x57fad6b9, 0xb79a07d3, 0xa053ad96, 0xaf5456fd,
+    0x0f687bb3, 0xd314f2bf, 0x68749612, 0x4affa9fe, 0x825e2bc6, 0xef39fbb9, 0xeb61c5d7, 0x9d57012e,
+    0x5983a1e9, 0x6065dbac, 0x08fa7416, 0x5a9ac8d5, 0x97957ded, 0xaa864205, 0xf7a65e59, 0x28b5f320,
+    0x3a60f284, 0xe404ddd6, 0x2a165135, 0x4de1330e, 0xbad4a231, 0xe2820e05, 0xf8f3a8bc, 0xad3a13df,
+    0xe97e9103, 0x63d57377, 0x510d43e4, 0x36fbb904, 0x9b8479c1, 0x7ca84535, 0x79bc4ce9, 0x284802a2,
+    0x99658ec0, 0x94c6e9c0, 0x5dec0a5d, 0xd6d7f7f9, 0x404ea6e0, 0x39377a0e, 0x1ff47937, 0x8d3a4d7e,
+    0x3775a48b, 0x3a4fe167, 0x41c5506d, 0xb7de2f7d, 0xb7e172ea, 0x5da36de2, 0xd2ac4e64, 0xa108ea9e,
+    0x4a2a1c8e, 0xfb8cfd5c, 0x96a5453d, 0x56a9b385, 0xbaea21a4, 0x43f92792, 0x6e2b12f7, 0xd34c1003,
+    0xb51f7159, 0x65ee6d5d, 0xf88883e9, 0x9955b2d7, 0xb8902963, 0x6ea5f1f7, 0x50cd96a6, 0x6084e98d,
+    0x00c7737c, 0xa7ced54c, 0x436a78ee, 0xd703db6f, 0x48b2d3d6, 0xf75017e7, 0xfddb203f, 0x2ae1f535,
+    0x7219e0f8, 0xc37e2555, 0x95807133, 0x7f86fd63, 0xfe7d5550, 0xcf4575d8, 0xc660ea69, 0x75b4e4c3,
+    0xbd0b7ea8, 0xd299e1a5, 0x79915235, 0xa0ac96ab, 0x89d95928, 0x608dd369, 0x534ce5bf, 0x26b8df58,
+    0x3c1c4ef6, 0x1c190c44, 0x50eba799, 0x77b4d36a, 0xa95346d2, 0x3f7e70d5, 0x5a4a9947, 0xe905fc3a,
+    0x05a650a8, 0xf48d33eb, 0x5b3cd706, 0x2a2f3553, 0x7eeca6e6, 0x7107973a, 0xbd8a33a4, 0x23c91bd9,
+    0xecf70309, 0x35b88b4c, 0x9d1347cc, 0x098772b8, 0x65ce6c4e, 0xfe9952d1, 0x9aa9522d, 0xe6f1e639,
+    0x09f43d45, 0xec2151ea, 0x511e6308, 0x311a88f3, 0x15249e67, 0x61dcffe3, 0x5dc22b2c, 0x4144f0c9,
+    0x495ba608, 0xb498a45b, 0xc6aa9748, 0x2776f9d5, 0x9e2ab442, 0xaf47107d, 0xc92eadd7, 0xf79f2725,
+    0xbd8f6c5e, 0x6022b679, 0x27c1e6fd, 0xb33cc1d7, 0xbc55951a, 0x3b78f6e4, 0xcb457b50, 0x7ea86bc1,
+    0xfa9917c0, 0x3877e1e4, 0x52c068a3, 0x7b53652b, 0x6d521423, 0x6d8251f7, 0x2e7fd866, 0x22367f19,
+    0x27f244f1, 0xa0d867de, 0x44e98630, 0xac1e2c84, 0x9a33b719, 0xa757c09f, 0x771c19fb, 0x392d310b,
+    0x10797449, 0xf7dbc760, 0xc9804598, 0x1a3535c8, 0x7ddae852, 0x9e5a28c5, 0xd80ba72b, 0x3d867cb4,
+    0x3dcd075c, 0x8af1b688, 0xc6f5d7a2, 0x695a93a4, 0xb3c83cd9, 0x15e49d83, 0xcf022ee8, 0x1d631ca1,
+    0x1f724dac, 0xcae49283, 0x862ffdb1, 0x02142435, 0xf934ec7e, 0xce282924, 0x298214da, 0x18144663,
+    0x14ca033f, 0x74821b99, 0x807f66d1, 0xe30a2d68, 0xe90bfbf6, 0x19c023df, 0xbcd151a0, 0x347a25a6,
+    0x574e8146, 0x90ff1f1e, 0x121468cf, 0x534aad6e, 0xc40c9787, 0x9445432f, 0x9041727b, 0xb6d289ba,
+    0xfb669537, 0x1d8f3b0b, 0x33fcb2c9, 0xf7d0b9f5, 0xd30547ec, 0x70aeb060, 0x6d1c8c37, 0xdcd3f131,
+    0x66f57660, 0xf76d0dca, 0x83ac6f2e, 0x85965fb0, 0xc0fa04bd, 0x23637d39, 0xcaf74f4f, 0xf9d12624,
+    0x2100ef7a, 0x7f1f7bee, 0xd1fbcf8f, 0x25d5f379, 0x1f90c8b0, 0xbe1e1e2c, 0x8e4ec15c, 0x57ca1d18,
+    0x12902e5d, 0xb4dd3968, 0xdab0d399, 0x011ce194, 0x7463f722, 0x6e44dad4, 0x9aae6e4a, 0x4c82033e,
+    0x3c29a79f, 0xaaf39f53, 0xae184edc, 0x5af0243d, 0xd835a4c1, 0xfaff7fb1, 0xbeec93e0, 0x47f4b108,
+    0x4b602a0a, 0x9966e590, 0xf76c6ba2, 0x728bfeec, 0x72fa5874, 0x14d1ab3c, 0xbd76591d, 0x0d00b0f8,
+    0xf95c8883, 0xb7f5d49f, 0x90585bb4, 0x39dfd685, 0xd44edea1, 0x2ed5e2ac, 0xd8f7e80b, 0x63953e16,
+    0x025b65ad, 0x6a206dc2, 0xa678cfb6, 0x74c64071, 0x262aa005, 0x8c27e6a6, 0xad0af356, 0xa345a456,
+    0x6c641542, 0xde5a39f1, 0x6dad4d62, 0xb80caaf1, 0x43e0aa8f, 0x0dcfa410, 0x84178dd1, 0x9319e58b,
+    0x7a9072a3, 0xabca8643, 0x9d417f10, 0xe33df257, 0xe1b0279e, 0x6ffbf5ad, 0xe9fe7d3b, 0xb6d0d57b,
+    0xa2337e38, 0x096600c6, 0xe043e2a8, 0xb423363b, 0xb1a6b944, 0xf3343b82, 0xb5a1bfa1, 0x1d8c6bb8,
+    0x2a7cb6a3, 0xf2fc00b8, 0x80e01929, 0x41cb9854, 0x40f759ed, 0xc4217df0, 0x21b405be, 0x4714cd6b,
+    0x426fba02, 0xc5508701, 0x2dfb6e2d, 0xea428ccb, 0x4329b026, 0xcf780254, 0x818501bf, 0xfc73548b,
+    0xc461dc45, 0x910f5b10, 0x5a0de366, 0xc795f64f, 0xf0ee15d3, 0xf033e2c5, 0x2824fbf0, 0xd1dfe063,
+    0x00000000,
+    0x9723a80c, 0x5b2c3da1, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000036893488147419103232 */
+  { 0x00000000,
+    0x9d7febd6, 0x6ec919d8, 0xf114cb81, 0x08284e17, 0x3242b898, 0xb8144e2a, 0xbf04d73b, 0x7000041f,
+    0xc2d8f542, 0x6a61ab26, 0x8b0e1149, 0xbda3ce0a, 0x8a252bdd, 0xf1ba055a, 0xd252fbfb, 0xc6de23c4,
+    0xe5a29f67, 0xf745c121, 0x1daff828, 0x089ee804, 0xded87633, 0x4eff270f, 0x96f5a8f8, 0xf383c800,
+    0x9601bed4, 0xbbab035e, 0xc42f7d51, 0xac103fde, 0x9184ba8e, 0x7599b43b, 0xa3324f52, 0xb89a65dc,
+    0xc4c3d398, 0x8b235fd1, 0xabb361fb, 0x938c8b81, 0x0d30186e, 0xcc13b29b, 0x2349ec60, 0xb59e82b5,
+    0xd1c122f1, 0x20e462bd, 0x0b80e8c0, 0xe3f6e938, 0xf2a234d4, 0x09f96f04, 0x6f605f89, 0x09a60f7f,
+    0xb7d01765, 0xfb1b1d00, 0xfdd43d7b, 0x1c36a1c9, 0xeb3bb415, 0xa76fc6f9, 0x26a30a18, 0xf12c9fee,
+    0xfcbf0a27, 0x2bb7fe0b, 0x7bd2501e, 0x8e7c3b8c, 0x5635ed68, 0x00dc34ab, 0x3bebfa0e, 0x4e494dd9,
+    0x546eb0b9, 0x4ca7e78c, 0x55f5af8b, 0x7f193531, 0x7be3b770, 0x00b66e4c, 0x1134a143, 0xeeff41e2,
+    0xd9fed23d, 0xbbc47b06, 0x51523343, 0xfc26c1f2, 0xad205fcb, 0x4e484621, 0x76c17588, 0xfa0a04e7,
+    0x0070aca1, 0xb01fbc00, 0xf4bc2e4c, 0xd6bcd769, 0x8de8b54e, 0x239420c9, 0x957c98e6, 0x7d3d008c,
+    0xc3b99bc0, 0x8eaefb54, 0x3ca7bf8f, 0x4720de14, 0xf1f4e8a1, 0xf4102aa6, 0x3254be64, 0x77ac842b,
+    0xd738e0c6, 0x212d6f98, 0x27ff2812, 0xc9001928, 0x4fe5f42f, 0x23ec2bd9, 0xc08c6c6f, 0x74b47c57,
+    0x00070b86, 0xf9ab8b48, 0xe288924b, 0x8a38a62f, 0xc42be3f8, 0xb5186834, 0xee5e4779, 0xaf6b97ff,
+    0x464dc85b, 0x9fa03d23, 0xbf3feb1c, 0x882ec31d, 0x0fd25416, 0x0edf731f, 0x6de8675c, 0xdaf2954b,
+    0xf5e2160b, 0xa28febf1, 0xac330faa, 0xfac7bd55, 0x9eef1231, 0x66e08c2b, 0xee2fb264, 0x2d713c92,
+    0xafd6104a, 0xc2ddb825, 0x6cd03477, 0x589f5b88, 0x1b73c48e, 0x84e099a2, 0xa9b0f8fc, 0xfc2f2db9,
+    0x96aed6e1, 0x43db4ab3, 0xfb2bcfca, 0xea07b9e2, 0x1e44b538, 0x871eea16, 0x6b7b2712, 0xfd23076c,
+    0x14a1d7ea, 0x4fffbc2e, 0x3e8ce02f, 0xc03ec083, 0x49208694, 0xe7df11cc, 0x8a2534c5, 0xdb84cc8d,
+    0x52ce6be2, 0xf97ce9c0, 0x74ee29df, 0xd933ca15, 0xf7a96fda, 0x05d8ad68, 0xe20448ea, 0x8a312e49,
+    0x8a580e83, 0xba98e6ab, 0x365f751f, 0x8ea7139a, 0x675f7f78, 0xa7dc62bd, 0x4bd82fb0, 0x5f01b05f,
+    0xc01039af, 0x1e2f6a58, 0xfac5907d, 0x13e61364, 0xf532403b, 0x67d6fd3a, 0xc7c08ca1, 0x4d89326a,
+    0xccf77e43, 0x6a47397d, 0x9bd8edd2, 0x69dcf904, 0x7f590777, 0x1895e70d, 0x076ba047, 0x6202abc9,
+    0x03ff8945, 0x5b0e5fef, 0xc094ff1c, 0xe427f709, 0x375d0920, 0xce0c6b09, 0x6089e9b6, 0x032b8ecb,
+    0x2539cb9d, 0x0ead9534, 0x43e238e8, 0x3e93ea70, 0x866711b7, 0xa52fde99, 0xbc65d32d, 0x6d6fb5dd,
+    0xfb0a80a9, 0xe9fb841b, 0xfc4d7692, 0x540c4354, 0x70f5b711, 0x962522a0, 0x0c1cef3b, 0x36a838e0,
+    0x723ddbfe, 0x5becadf0, 0x46bb12f4, 0x24b778e8, 0x8c3a28df, 0xd327cd65, 0xa5976ed8, 0x78f8a911,
+    0xd082b653, 0x5e458d15, 0xbb2beb8f, 0x1e43879f, 0x73510654, 0x53198c73, 0x257cbbe7, 0xaf1f5d80,
+    0x48990866, 0xd55ee0b1, 0xd77a572c, 0x07dfce41, 0x2ece965c, 0x8ad6d7db, 0xb2c151de, 0x181f7fe7,
+    0x3213b0c4, 0x6f6dfe79, 0xff9d966d, 0x9aa48ab7, 0xb78aa4c8, 0xf5e6e846, 0xe8b7b204, 0xe90b086e,
+    0xb95c1752, 0x235ca366, 0x1e57d6a9, 0x96f00737, 0x6c32ae79, 0xed070e56, 0xb2088ded, 0xe8902bb6,
+    0x4a62a54f, 0x7f668256, 0xabf231db, 0x75db56ca, 0xc95639c7, 0xbf14d15a, 0x88770aac, 0xec9e395d,
+    0xc4beb9c5, 0xae47df51, 0xaebd0fbd, 0x2696e90a, 0x208c084a, 0x78368935, 0x44820046, 0x726fe4da,
+    0x5f874120, 0x1577ced5, 0xea14f585, 0x1e4cc367, 0xcc733adb, 0x73f57d1d, 0x1b2009a1, 0xab11ad6f,
+    0xd4616794, 0x4dbbb0c0, 0xcb45a3d6, 0xdc4b207b, 0xc1d9c819, 0xf9ce1bac, 0xb2d66aeb, 0x4750389f,
+    0xc705809a, 0x54cb379b, 0x6a4fb05b, 0x1af01526, 0x3c7f61db, 0xd9c2737f, 0xdf62158c, 0x3ff53fb6,
+    0xc4390bf2, 0xad286401, 0x087481d6, 0x0ca71a8c, 0xd47a2812, 0x0af0bd16, 0xb10582f3, 0x8f7e02e3,
+    0x94aeedba, 0x8a3faf1b, 0x79945c2c, 0x64803b4a, 0x3e35a437, 0x02c41af3, 0x417f43cd, 0xdb2c679d,
+    0xf7b27986, 0x23a0f825, 0x4f409f98, 0x5706a96d, 0x319657ac, 0x5958f645, 0x986a228f, 0x2fb6ffcb,
+    0xe7132cce, 0xc809b0fa, 0xb10ef5a1, 0xb9984bcf, 0xdfa50db2, 0x2609313d, 0x480ca335, 0xe8848d0e,
+    0x21ec5a6f, 0x4e93a662, 0x34ca6ae4, 0x717d851f, 0xd48f3af6, 0xde558fd3, 0x5d509ae8, 0xa6c85b9b,
+    0xb3193f34, 0x967014b8, 0x7f8eb29d, 0x1ff5b962, 0x2f54efc3, 0xf89adfc8, 0xe691b154, 0x8c409a9f,
+    0xf22bc98a, 0x75d4f614, 0x2c920a07, 0x482c6fcc, 0xc7d493df, 0x914b5ba7, 0xc051e745, 0x75f32cc0,
+    0x5600cfb6, 0x9f74421a, 0x8744194f, 0x2e47dc0b, 0xff227e5a, 0x545879aa, 0xf024f7ff, 0x4ddb99fe,
+    0xfcc01df7, 0xc845b8d3, 0xeb556ee6, 0xc09b8f38, 0x8942ced7, 0x187f9638, 0xae2b7861, 0xa237bfa4,
+    0xe65c60fb, 0xc2e8c5e3, 0x9bfc245e, 0xc3c50eef, 0x286dd9c6, 0x6684c927, 0x2cb82ce0, 0xaf8c84f6,
+    0x65938fc7, 0x15afc76d, 0x5a24ca4b, 0x86ad009f, 0x15bf4cbe, 0x45051257, 0x08042821, 0xc7482447,
+    0x6dd709f3, 0xba43102e, 0x0984fc55, 0xed080e66, 0x91b39374, 0x590fb6a7, 0x714768e8, 0x0ba8b6a7,
+    0x78125723, 0x8e683ce2, 0x87f8baa4, 0xadcd4a65, 0x973496a5, 0x4dba28d5, 0x8d66e581, 0x71dca91f,
+    0xfaf13811, 0xea22b119, 0x25a3c02c, 0x17178761, 0x345e3ac6, 0x6b96638d, 0xbdf708a3, 0x3fd0f74b,
+    0x0bffb7d7, 0x5dc490ab, 0x41f36f58, 0xf038ab22, 0xd1cf3eb7, 0x20c3b686, 0x05d08333, 0xeb889161,
+    0xe1eff818, 0x0279bb70, 0x62e8711a, 0xed7c9010, 0xb1999ce8, 0xddccb534, 0x2f5ef551, 0x5ff1b328,
+    0x89e43138, 0x063a7d37, 0xff625e7e, 0x4feb4cf8, 0x493eebd7, 0xdae83410, 0xc920b5a5, 0x7bf6c801,
+    0x289b176f, 0x32b10052, 0x13e57872, 0xdbc51843, 0x7f1a9906, 0xd18e3e28, 0x9cf5ae18, 0xa1a84456,
+    0xa5b105db, 0x879d5b7d, 0x7d05b501, 0xf915f123, 0xe03509ec, 0x58fb5d00, 0x880fc3ff, 0x70bea99e,
+    0x91e5514b, 0x95693371, 0x281dc407, 0x75c3243f, 0xfc3139fe, 0xd22dbab0, 0x298662d5, 0x156b59e4,
+    0x3cd78802, 0x6a2fba76, 0x0dd7db4d, 0xe30b0470, 0x0dde9501, 0xb01050a3, 0xd34ae9e6, 0xf7631c74,
+    0x6a575820, 0x91bed0ec, 0x452bb4f7, 0x190d4d5b, 0x411563af, 0x15baa970, 0x5ba20e77, 0x44306185,
+    0x04ce183c, 0xe25f0922, 0x76877eb9, 0x2fa0f204, 0x6270f1b4, 0x44374203, 0x4a564053, 0xd985104c,
+    0x6b084354, 0x08809a70, 0x04e383d5, 0x4528ede7, 0x1cb449c2, 0x9c49d24e, 0x5b37fd88, 0xcb4ce86d,
+    0xe65283f3, 0x97d3074c, 0x69e9eb93, 0x6e7b0261, 0x4185c5d8, 0xbd32b888, 0x02ecba21, 0x34b9151a,
+    0x8a678e31, 0xaaea5062, 0xe52af3fd, 0x1cf4a410, 0xb55a8547, 0x953d219a, 0x117387cf, 0x73437e90,
+    0xc659cf26, 0x511bf3c3, 0x8d1b095a, 0x64747693, 0xa7c134b3, 0xa052c694, 0x1c3cb71d, 0xe0980a0f,
+    0x8eb4f657, 0x057c618c, 0x3c8dd54c, 0x70da0293, 0x7cf789f6, 0x39384590, 0x9d2e340e, 0xdd76c5db,
+    0x1945d145, 0xd49ad69e, 0xfa8a775c, 0xc4c02293, 0x1c3a6a70, 0xc2d5e49b, 0xf7f7d2c0, 0x70bba7e1,
+    0xd1b9d089, 0x96a1bcf0, 0x82d0cd94, 0x28519c33, 0x9d1ffebd, 0x66735b90, 0x23959eb5, 0xce1879a0,
+    0x159b08de, 0xac3d7c46, 0xe5d2de21, 0x5775feca, 0x8cbd38fb, 0x5caa0d64, 0xb0d4ad25, 0xf6450828,
+    0xd8f8617c, 0xcfece9ed, 0xc9ff6093, 0xa14f1b33, 0x6c9432f0, 0x89e93fbc, 0xf1eca6f5, 0x05d94d93,
+    0x6cd2c1fc, 0x093edbec, 0x957d52a7, 0x879ca9e5, 0x4efb0d76, 0x1e1d5d7f, 0xf04dca1c, 0x24361b11,
+    0x5add5370, 0xf6526ef2, 0x157c3785, 0xd5a96486, 0x556c12fe, 0x04c6e49b, 0x0f03eb0f, 0xdbf980aa,
+    0x190e90c0, 0xb2facadd, 0xb6ea7f60, 0x9908c951, 0xaee469c5, 0xf0cb0cda, 0x15f6dc3a, 0x522bc0d4,
+    0x1ef2d35c, 0xb2efafa0, 0x2ebdaa73, 0x5adf61c9, 0x3d9cb80b, 0x567d1ddc, 0xef233d37, 0xa26270f7,
+    0xe4ff194f, 0xaeb78dc1, 0x202c2f97, 0x2f330a51, 0xe48c1d73, 0xab4f7f16, 0xcb8d09a7, 0x3bebfec5,
+    0x9d93634a, 0xb406e9aa, 0xf0a10cd1, 0x199bac1d, 0x5f2fa3cb, 0x6e813e03, 0x64acf6c5, 0x2c2a3311,
+    0x8c48ec23, 0x2cb81f8c, 0xe220eb7c, 0xca7463ec, 0xefec4ade, 0x5b4f11ee, 0xe105b5fd, 0x11fbabac,
+    0x45a1afa7, 0x83a8b835, 0x083c36a2, 0x186715c5, 0x40f394e4, 0x5a13ef65, 0x363ec674, 0x3778fdfa,
+    0x46d0cec5, 0x762c3a5a, 0x1196793e, 0xe9a9cf26, 0xd3a85a33, 0x4ac9ee95, 0xb2ba32c0, 0x4f9b25c6,
+    0xff016245, 0x99f33be8, 0x69135d0e, 0xd08373be, 0x039cda74, 0xeaab7449, 0x3aeef463, 0x227e538b,
+    0xd81b0e88, 0xcaef75a3, 0xce755ca3, 0xdc52e115, 0x5ca1b888, 0xa7192630, 0x1f5d719e, 0x7c3bc225,
+    0xa5a04380, 0x1b038220, 0x8497b3f4, 0x61eb3188, 0x65da679c, 0x7e6853bd, 0xbbc89b63, 0x50b53ddd,
+    0x1d72a5ce, 0x7f7d2758, 0x4c7376da, 0x5ba27515, 0x11fbd18a, 0x15736ba3, 0xf03e687a, 0x20835463,
+    0x74882ef0, 0xfb526ae1, 0x6c3cd39a, 0xb9cddfc2, 0x033aa5ee, 0x071eb6be, 0xe25794dc, 0x94c2b431,
+    0x9d34d82d, 0x93791706, 0xd36a26e5, 0x4d6e2823, 0xcb019d45, 0x87cdfc67, 0xbdc1df07, 0x6a8b73b8,
+    0xeee4375d, 0xa6b0b378, 0x425ed27e, 0x92ef6f50, 0xf8b43879, 0x9f0a8ffb, 0xda4f14f1, 0xb0c466aa,
+    0x4eb26d83, 0x7a4ec6df, 0xbb1d85ce, 0xed486d6f, 0x9bb515d7, 0xcbbb05f5, 0x003cdc95, 0x2689e204,
+    0xc8af0cc2, 0xa6236d91, 0x569abd4f, 0xf0d16e6e, 0x1a8c7e4c, 0xece60328, 0xc25765d4, 0xeca1bda3,
+    0xdc08bdc0, 0x8ee4aedf, 0xa199f093, 0x83aaaa00, 0xcc8fed41, 0x5cf50daa, 0x345628ae, 0x6add754b,
+    0x6f4e0b5a, 0xea8df0ad, 0x02b9d2ea, 0x6d4159f0, 0x0e6f312f, 0x58f1a3f9, 0x57036015, 0x61b1a72c,
+    0xf20df03c, 0xedc54747, 0x7f8b17ef, 0x8a89e4e3, 0x650ee1d7, 0xc130e90f, 0x0cad2a65, 0x93ca87de,
+    0x2e325b1d, 0x2f750427, 0xc0b0dbea, 0xeacb3f85, 0xeb0f1637, 0x3a036faf, 0xb217cab4, 0xc74bd872,
+    0x57929538, 0x25a3368d, 0x786c4cc3, 0xe03a6a1c, 0xf08ef6f1, 0xf2b4275c, 0x7b6fa766, 0x0d86054a,
+    0x4e9d1097, 0xbe16f652, 0x054816ed, 0x2dbafd6a, 0xa966d083, 0xae8c585b, 0x87e16005, 0x36b3a6c0,
+    0x7e7331bf, 0xfa768775, 0x14358cb6, 0xdcd316df, 0x72c82bee, 0x86f2d060, 0x28c72c7c, 0x2d397e40,
+    0x5131b679, 0xd8ba1bb1, 0x280145a1, 0x4405b19c, 0xc345784c, 0x3d003864, 0x4cde2728, 0xc066297b,
+    0x200f7b3b, 0x4d27665f, 0x116c8458, 0xbe3de295, 0x8a81e7cb, 0xdd78bb36, 0x432fe8aa, 0x23c53d24,
+    0x194fb799, 0xffbad22a, 0xbc44ed1f, 0x76bce8e2, 0x9dab7ea8, 0x4a0a79ec, 0xb440f1b6, 0x70c7ec04,
+    0xed8fe6ac, 0xd3667a82, 0x52058bca, 0x77acf379, 0xa2a29d7b, 0x26238b6b, 0xd210abe9, 0x0aac907b,
+    0xcbea3481, 0xa613834b, 0xa245c452, 0xb3b9cc6e, 0x4ea1a15e, 0xcdd7f5bc, 0x195ee756, 0x8b0c03a1,
+    0x170a83e3, 0x766d3712, 0xf12e0ab3, 0x7243a0a6, 0x94a9dafe, 0x2c273a63, 0xb56f99a5, 0x29f0aa76,
+    0x7e9a8cc2, 0x7051204e, 0xfbb56e1d, 0x002b57f7, 0x8f9ef58c, 0x0007f3ba, 0x4091830f, 0xa46f4f33,
+    0xaadf6abe, 0x231b9a1f, 0x35181ff9, 0x43530afe, 0x22e92209, 0x8e3f9004, 0x525ff249, 0x3c81594f,
+    0x82924d56, 0x454527e6, 0x6a3f6828, 0x390ea50b, 0x2ce38d45, 0x051e4024, 0xf30c344f, 0xef913153,
+    0x08bdadfb, 0xa2d2930f, 0xd2657c1c, 0x3ca8cb82, 0x40926910, 0x79fe70ed, 0xbf676170, 0x3a3d9ac8,
+    0xae4d6cfa, 0xab562edf, 0xdcc8efdc, 0x1f56d855, 0x8992cc02, 0x1b563a89, 0x429c2aba, 0xa834903d,
+    0xda2f98aa, 0xa42e5ac6, 0xa5159a9c, 0xd7bb01a4, 0x5c6d7d72, 0xf311967e, 0xa3cf7765, 0x78916613,
+    0x7ab4b768, 0xf9541a8c, 0x23ccb0cc, 0x1f38356a, 0xad09895b, 0xf38babf7, 0x369d0104, 0xc120e900,
+    0x1cea0db2, 0xafd1c4ce, 0x23ae2746, 0xe0aa2ac4, 0x2b727ae7, 0x54f1a7fc, 0xca3ffb78, 0x658a4f88,
+    0x5225d5a9, 0xedd20602, 0x0660d37d, 0x9db71178, 0x0b364756, 0xa216b8b1, 0x7aebaea7, 0x51f71a3f,
+    0xe00a60af, 0xae9aabea, 0x8afbd15c, 0x47878216, 0x68a3e00e, 0xca592ab3, 0x7c69784d, 0xaccc2976,
+    0x69908839, 0x4fc4eec5, 0x3ebcecc7, 0xf2f8f0aa, 0xebffcfb8, 0x387b30f8, 0x054e297f, 0x1ff9099a,
+    0x9a370139, 0xc9f983d5, 0x24c2a0b8, 0xb5e1df3e, 0x643a0c62, 0x94ff0247, 0x2ec6c3fd, 0x9730b60d,
+    0xe184f222, 0xf2b308aa, 0x928b03dc, 0xa10ec824, 0x8d4ddaa6, 0xf6ae5d23, 0xb28264b8, 0xf544326a,
+    0x6b4a93fe, 0x0e52d25c, 0x79f07ec0, 0xb6e165c5, 0x41987f26, 0xf782f522, 0x7e709e44, 0x4d6e2853,
+    0x05524726, 0xa0a20ffe, 0xe2144fb1, 0x3d1eb27c, 0xc404b083, 0xb1dfde95, 0x509d7331, 0xa1c5df35,
+    0xa7ed6840, 0xbabac82e, 0x568fc3a2, 0x10e3c25f, 0xea7c3118, 0x946ec457, 0xf9b4ff5b, 0x4f00fa12,
+    0xf8b8a51c, 0x2a2a880a, 0x6410b047, 0xef388f1a, 0xbc886e98, 0x14db436a, 0xcf3b113a, 0xfbc2d1d2,
+    0xf41e52a1, 0x47869d64, 0xfd52b865, 0xabe0880c, 0xed8327ce, 0xa141e617, 0xfbeb5c95, 0xaf20715f,
+    0x9e0bb72e, 0xc870915b, 0xdde0b090, 0x969affa2, 0x20d7ce3a, 0x0bceceb9, 0x8a186043, 0x30a56ad1,
+    0xf3509abe, 0x2c6ec258, 0x149cfeb0, 0x182892b3, 0x350acfad, 0x9318e9a5, 0xff5bf929, 0xaa0a083d,
+    0x57836bae, 0xba5bcf24, 0xf593301c, 0x9140e528, 0xb4311c11, 0x93f82119, 0x0d8e45c1, 0xdfb612db,
+    0x82a9b6cc, 0xf3ab1d3f, 0x23fc484e, 0xe678a541, 0xd7fd86e4, 0xfb21ae7a, 0x35f9d06e, 0xea4b3817,
+    0xbf1381b1, 0xe9f2f483, 0xec722b33, 0x1bacfa52, 0x0627ce23, 0x3ddb8cbf, 0x56660348, 0x395982b9,
+    0x1f90d1e3, 0x13bfd162, 0x65e0e733, 0xfe79eaf3, 0x948a7b22, 0x7a451820, 0x190c74e3, 0xa887094b,
+    0xf572537f, 0xc50803f3, 0x8062a97e, 0x8f00a49b, 0x3c22925f, 0x3a8ec7c1, 0xa12fdea5, 0x7aea4be8,
+    0x29d799fc, 0x6af3aa09, 0x8ea5c0a5, 0xcd42f294, 0x6ae5ac54, 0x142b030f, 0xeeec6b59, 0x3c9d40a5,
+    0x70bc78b8, 0xd42e0489, 0x49bb2d11, 0x90c8ccdc, 0xc07d8061, 0xc48de24d, 0xb24752eb, 0xe7caf151,
+    0x00000000,
+    0xcb91d405, 0xad961ed0, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000018446744073709551616 */
+  { 0x00000000,
+    0x0476baad, 0xbe7fae79, 0x35b87565, 0xa9d76769, 0x5dd1d077, 0x00954b3f, 0x92e30da5, 0x0ed0171b,
+    0xc44e1570, 0x57470d44, 0x8ab58c2d, 0x54bec819, 0x02538df3, 0xb1e8f58c, 0x6abdef7f, 0x667b4faa,
+    0xa0ab0e27, 0xc779afa8, 0xb60e3555, 0x0a9dc60a, 0xc933f9e1, 0x088568ba, 0x26cd2bd6, 0xeaa53f69,
+    0x8d3e4044, 0xd44571cf, 0x376bcf94, 0x6b8cf9bb, 0xe24415bf, 0x88294441, 0xdd5102c6, 0xd3e2bd6a,
+    0x64a43732, 0x46f5208c, 0x6737c528, 0x194c6610, 0xdca75c6d, 0xd5ebfde7, 0xe5285fa6, 0x15a36c8b,
+    0x262f7ee7, 0xfbfa51bb, 0xa4b6ce5b, 0x261af000, 0x1831e3e0, 0x28a1b478, 0xe1e31d7f, 0x5fd39e0d,
+    0x4b2bec7f, 0xbc3b4968, 0xee28a31f, 0xd89c257b, 0x66840045, 0xc43c14ad, 0x56fc3429, 0x1657d08a,
+    0x58ab8bee, 0x3ba3b0d8, 0xf0cea7c8, 0x05c343fb, 0x9c57a4bb, 0x31900102, 0x4c12e7fa, 0xb41cd7c9,
+    0x9c932f7e, 0x61bfad7d, 0xc8cc032d, 0xb3301ec0, 0xfd65993e, 0xa6871ab5, 0x6c346320, 0x6268070e,
+    0xc3d29109, 0x312eb5b9, 0xe459118f, 0xa214ba35, 0xbf94e4bf, 0xb7935c7e, 0xb8007815, 0x0eb9e2c0,
+    0x61ba1224, 0x4a756319, 0x4f768847, 0xca92d06c, 0x2f86fbd7, 0xf8a48854, 0x09d1d9dc, 0xc0a94752,
+    0x16eedb63, 0x1472557f, 0x8cbc0b2d, 0x1f30ebdb, 0x878d08f6, 0xc4a8a2d1, 0xd28dc8e3, 0x0c683ce8,
+    0x4ba6ab51, 0xea8edb57, 0x6e99a7cf, 0x3b7a227c, 0xf6f5241b, 0x19ef1897, 0x58df91a0, 0x356e33ed,
+    0x64d30c47, 0x8ab980e6, 0xc9e41419, 0x25d5756e, 0x52bfb9e2, 0xd3fc0b88, 0x08696205, 0x169c06d6,
+    0x22a0fdd7, 0x29c98767, 0x4d07cd23, 0x6b47204f, 0xb114dbfd, 0x822dd1f0, 0x369a90ad, 0x3567efa1,
+    0x47c2477c, 0x9ed1918f, 0xb370307f, 0xcbf9a4e3, 0x6f3c1e56, 0x3f40dcc5, 0x4ea03c58, 0xfc4a09f0,
+    0xb3f404a0, 0xa80c9670, 0x7ee3db10, 0x48853466, 0x3cee7e69, 0xc9826fcc, 0x5e2f6a76, 0xce33b81d,
+    0xfd75f5e2, 0x5ea4e240, 0x33e7f0c6, 0xdce5bbec, 0x6e4a05da, 0x4167c6c1, 0x87ff4a46, 0x71975255,
+    0x42b1cd05, 0xa097e07b, 0x49825d1c, 0xc65fe43f, 0x6470b66b, 0x55cff36c, 0x1ec72853, 0xbd4d83da,
+    0x89c22979, 0xd45f924d, 0x9bf41d31, 0x6355f38a, 0x135ca53c, 0xbafde79e, 0xcf530e6c, 0x69425d9f,
+    0x55407858, 0x0e22e6e9, 0x0e6eea90, 0x157a0bf8, 0x0f51c341, 0x303c6a94, 0x01c2914d, 0xe827765d,
+    0x0227e6e9, 0xcbd794e2, 0x6f591964, 0xa6ff329f, 0xdf7f27da, 0xe17c499b, 0x686019e6, 0x9ca9ef6d,
+    0x91cef33c, 0xd21267d7, 0x07a8148e, 0xcb962d4c, 0x567da361, 0x10ac0041, 0x268c51e3, 0xfeec1fa6,
+    0x894cc085, 0x2ce71d81, 0x88887204, 0xd57b6fcd, 0x093ee9ac, 0x91afc040, 0xa9cc8b1f, 0x8d9b83b3,
+    0x67d6741d, 0xacda7997, 0x35b847a5, 0x088f1520, 0xccfa1b4f, 0xfe200e54, 0x75ba442a, 0x93805ff3,
+    0x5611b7d6, 0xba2fd136, 0x734dceab, 0x5ecdb0df, 0x847d4bbf, 0x164225cc, 0x25de3525, 0xcb4f39e5,
+    0xada42ae0, 0x864a5b15, 0x0cc3a5d4, 0xce29e63a, 0x7d569767, 0xc63ee56a, 0x7464afee, 0x1a1fc455,
+    0x37f96b83, 0x749266d4, 0xc1af853f, 0xcac2ae16, 0xf8101ddc, 0xb259f4cc, 0x85e8d849, 0xe26d639e,
+    0xa25e3c27, 0x2c614a2e, 0x49feee62, 0x7de81c75, 0x984452b7, 0x02bc1eac, 0x83c21cc4, 0xe26f689e,
+    0xf3ac2a15, 0xe8330feb, 0xd3385b53, 0x396ccc6e, 0x9cf44e39, 0x1fdee7dc, 0xf2a69314, 0xbaac2e43,
+    0x553d3b9b, 0x048905ed, 0x41ba49b7, 0xf1505e8a, 0x09bdd8c5, 0x569f3b3f, 0x5558f9d2, 0x286d8bd8,
+    0x6d34cee7, 0xbc24ab15, 0x16e40100, 0x505a756d, 0xf1a360e4, 0x9af07860, 0x560e7a78, 0xd47f54b3,
+    0x3b91b839, 0x1a21faa7, 0x91ff2c87, 0xdad78e58, 0x5eda5ee0, 0x759eaa4e, 0x2b1d4e9a, 0x150cf901,
+    0xf0aa8361, 0x8a585b29, 0x216998d5, 0xc39215da, 0x784dae94, 0xa8fac25d, 0x78ca1c54, 0xd362c6ce,
+    0x60d76c7b, 0x098dfb9b, 0x89c5325e, 0xe43b0cc6, 0x781d60d8, 0x9dc1994f, 0xceaa1957, 0xb7dbd9eb,
+    0x06aca541, 0x54d8e824, 0x5608316b, 0x3c740612, 0xb2a05467, 0xfe303434, 0x0f545687, 0x9f8e61f7,
+    0x5b30c059, 0x14c37132, 0x84b8ef79, 0x76b8fae7, 0xadf73adf, 0x5e2a9441, 0xbe4a2144, 0x67688441,
+    0x8b2ba95f, 0x3e0583b2, 0x39ad5ce1, 0xeae86753, 0xdaaafe0c, 0x338e8ac0, 0x79572b41, 0x9d80899a,
+    0xa5f69afd, 0x193e759b, 0x3296fb86, 0x948ee1ba, 0xcaf63077, 0x29fc6f93, 0x4b03a91d, 0xb05de2be,
+    0x700acb15, 0xe06f44ac, 0x8f824aa4, 0x7770c089, 0x98710cbc, 0x050b33fb, 0x515b6354, 0xbe331560,
+    0x1ea9bdad, 0xe4ca5f45, 0x9947bff5, 0x2a192e69, 0x75527988, 0x1b195365, 0xc7599375, 0xc9e396c0,
+    0xe225e924, 0x4f8ca70b, 0xff23c0f1, 0x0f5c8f61, 0x523fced2, 0xe0e628d5, 0x8233d0f0, 0xc207c202,
+    0x07595368, 0x599c89c9, 0xb9dcba3d, 0xdb4c27a8, 0x832f0db5, 0x2f783f30, 0xcef1800c, 0xf400dce6,
+    0x72cd49ea, 0xbabf45f0, 0x6af6abe3, 0xee7a33f9, 0x86ed28f7, 0x9ff22102, 0x4bfba5d7, 0xbfdcd9a9,
+    0x4a8309fa, 0x070d62a2, 0x4d2df4f9, 0x198cb705, 0xe72c1196, 0xeebb6414, 0x056f999f, 0xfc7da16f,
+    0x9ee3d99a, 0x6a9c5acb, 0x3858475d, 0x4a49d93b, 0xf44413a0, 0x3918343b, 0x957caabd, 0x839e2296,
+    0x86454b0a, 0xfd846422, 0xee711e67, 0x6c0bd4de, 0x71da2454, 0xf0d9931f, 0x3fc52aa7, 0x817699d6,
+    0x4b93b8ab, 0x262e3fac, 0x1995a949, 0xc4abaf63, 0x8c140ee8, 0x75873931, 0xa3a756a4, 0xf1bb28c7,
+    0x9b14d276, 0x1ea8f147, 0x35f233d8, 0xcd6c70d7, 0x04bde252, 0x0b8826ca, 0x07cb58ec, 0x562de0df,
+    0xe629f676, 0xe446aa30, 0x2ad563e4, 0xd41d4798, 0x91cc7618, 0x5e4aeb83, 0x0e175ea4, 0xf10ad755,
+    0x0faccf44, 0xe408ba3d, 0x20d1c000, 0x3cf88bd7, 0x996b9997, 0x4d25f9b6, 0x719d019e, 0xf69c71eb,
+    0xa59d1b60, 0x926f3ef9, 0xf31c204a, 0xd13ea717, 0xe75e8777, 0x3b6ba52c, 0x1dfa9691, 0x9f8b7fe8,
+    0x923d143d, 0x2898a130, 0x981a97c0, 0x84667668, 0x68e2f339, 0xda7c28d3, 0x1c912440, 0x34c8b73b,
+    0x196ad303, 0xccb2be45, 0x4ea2c12f, 0x137bd3a8, 0x357b437b, 0x8009f8ea, 0x1aebbd26, 0xbc3e36d5,
+    0xcd14b58d, 0xda4be645, 0xe7ed4512, 0x8bf5aea6, 0x1f10de78, 0x7b2d9772, 0xa767875c, 0x59bf3ea4,
+    0x47746df0, 0x715513f6, 0x6066ebaf, 0x48d049c2, 0xb1d65dce, 0x3a0ec42d, 0xc25f0bcd, 0x280c4d61,
+    0xbd9a9e1b, 0x78ab5b9a, 0xcafdd356, 0x70abb412, 0x4331a2d9, 0x3277f39c, 0x3bdd6bf5, 0xe1f63d2e,
+    0xdf390b44, 0x26da8c9b, 0x0cb86369, 0x9cc87543, 0xe5cb206e, 0xebfade5b, 0xf959dcd0, 0x17fb6168,
+    0xa6c64cda, 0xe152a406, 0xaab74b05, 0xac60ecbb, 0x06b48ef5, 0x5940fb61, 0x347cc9cb, 0x6033eabf,
+    0xb83ec59d, 0xf8eb6669, 0x694f9bd4, 0x09b1e50c, 0xfc4115fe, 0xdf7d585f, 0x8d3156e8, 0xdd5f1f91,
+    0x0b8e0239, 0xed165ffc, 0xc28d999f, 0xc54d02af, 0x3854816c, 0xd54efec6, 0x586aadfb, 0xb6de6d41,
+    0xa695c3e4, 0xdd86fa31, 0x7331ebbe, 0x768cbf39, 0xba3f9f64, 0x9d4f79d2, 0xbc76b636, 0xa80bb8a0,
+    0x4471e005, 0x4e06a76c, 0x61a631a8, 0x3aa47f47, 0xa7c3c6e9, 0x266d5734, 0x7a4dd55d, 0x56b69b73,
+    0xb6116072, 0xe0d3991f, 0xea28c093, 0xb5ece3df, 0x4b41ed53, 0x000198cc, 0xd07085e9, 0xfbbd15cf,
+    0xb62a034f, 0x1c1741ec, 0x6404a6f3, 0x7c477cd7, 0x1355fc0c, 0x42081944, 0xeb715905, 0x92794b43,
+    0x6feefe96, 0x8bf640af, 0xe158bcdd, 0x91e53d43, 0x06c2019c, 0x76976c5b, 0x00483414, 0xd8c2ba54,
+    0xc37c0c33, 0x9f2654f3, 0x698f2517, 0x77ac6291, 0x9549227a, 0x9e2682a4, 0x0f7c14e0, 0x8d4a44a5,
+    0x36c9f3bf, 0x0d0163a8, 0xc474ce23, 0xba392d35, 0xf5eb3fba, 0xd67a2298, 0x322f2bd3, 0x3c7f0839,
+    0x4b881900, 0x122d8529, 0xf47ce7e1, 0xe7aeea0d, 0x98080264, 0xd5b10317, 0xc008679f, 0x9d982f2e,
+    0x6a2c7b29, 0xca600af1, 0x4bec16e4, 0xd43b36a7, 0x5b14f11f, 0x10f6cd2e, 0xd1d0b5bc, 0x5681faf2,
+    0x527d1d9f, 0x9de0d717, 0xd5d5f97f, 0x7f8c2367, 0x9cd7fe41, 0x367e46b0, 0x7f798444, 0x18e7a61a,
+    0x36bc5f7c, 0x2c361f44, 0xcc6a4174, 0x86499a55, 0xb2e75f0f, 0x698cc194, 0x853e1d40, 0x24baaab5,
+    0x0978705e, 0x23a3f932, 0xade31830, 0x98c65d9e, 0xfcc82483, 0x37aa4ee3, 0xa61082b5, 0x59ac3865,
+    0x6050277e, 0x207fb1fd, 0xdeeabecd, 0x29d422c5, 0xc3dec6d0, 0x480a5b87, 0x6b444b65, 0x0eff0583,
+    0x96f628e2, 0xb259a91c, 0xd0386961, 0x979e224b, 0xd8bcf957, 0xe7268fe6, 0xedcb77ee, 0x85f6c34a,
+    0x48eeca0f, 0x2392c39c, 0x1a502cf8, 0xe4cb4568, 0x054fe32e, 0x1f375230, 0x2d8b03cc, 0x52b282ab,
+    0x58e28740, 0x41664b1f, 0x04afc8a8, 0x19b6a430, 0x86a2f65a, 0xf03a65bd, 0xf13b7960, 0x99743a12,
+    0x8e525f5a, 0xe787c040, 0x6aa06f8e, 0xad7e6222, 0x6a040114, 0xe8c49e20, 0x740a2f6e, 0xc3f6f56a,
+    0xe96d211b, 0x636bd5a9, 0xec22ab0d, 0xc027e1f4, 0x45108c26, 0xc1c4e07d, 0x8e01f555, 0xedf2efc0,
+    0x515e2b93, 0xddfce069, 0x8ebb19d7, 0xf7010f15, 0xad7e6dd1, 0x2493765a, 0x99dadfbc, 0x6a99188a,
+    0x12f82209, 0xace8af4b, 0x72d49fa8, 0xe9744ea3, 0x0ec22548, 0x3dc8cb3d, 0x4404c1c4, 0xfe79f729,
+    0xdffd044d, 0xdb5b07cf, 0x3abd1e25, 0x7b0d9443, 0xf0333827, 0x068a4dc6, 0x41f4686d, 0x19703c44,
+    0x8d3a8d71, 0x930709b0, 0x0a860023, 0x5759c3af, 0x912f9ff1, 0xa1a189e7, 0x1e3e4539, 0x0132b5bf,
+    0xcacea553, 0x80dd34fa, 0xa7e9e92a, 0x7db86702, 0xf52c41ef, 0xf23de3b8, 0x922e98b1, 0x439fbbf7,
+    0xaa4dae67, 0x0182c0a6, 0xeddd9549, 0xbbd1fbe5, 0xc7cf0d5c, 0x024cae05, 0x64b7ac6d, 0x59b05752,
+    0x68b16a86, 0x404691dd, 0x126fc6d0, 0x57ee0f18, 0x02d77d00, 0xef5961aa, 0x33386d44, 0x2d677d3d,
+    0xc5f75b58, 0x668adfcd, 0x8cd6a8b2, 0x754f14f8, 0xce6fbcf7, 0x60324b51, 0xa187ea41, 0x4e949b8d,
+    0xdb1590ed, 0x1f9ea16e, 0xf1628962, 0x27fe4ecb, 0x6336787c, 0x338ad0c4, 0x2159fe8e, 0xac506bd4,
+    0xe4ce16dd, 0x37386a51, 0xb7bc1cb8, 0x564505af, 0x6e117827, 0xe26a53f0, 0x93e81efd, 0x5bde4027,
+    0xd917ec08, 0x10f9941d, 0x81970c61, 0xa07ad292, 0xb8346dd7, 0xeafe91f9, 0xd4323ccb, 0x716f1cdc,
+    0xddc94ce2, 0x1b59f901, 0x0fa4ad29, 0x26015bd6, 0x30ceeaf7, 0x8d34d2cb, 0x2ae1a368, 0xbbc8e3ae,
+    0x0c57b9ab, 0x29d3993c, 0x237b6af1, 0x516afb20, 0xff35cf02, 0x447d9c31, 0x1372dc33, 0xf12cdf78,
+    0xa7d1e3f9, 0xa309f5f4, 0x76f89b00, 0x0235764b, 0x781db6c1, 0x3a37b50b, 0x3875f8c0, 0x8cee33f7,
+    0x96484d34, 0xe1bf4b79, 0x0487305d, 0xbc4f3ac5, 0x9251c564, 0xb5af909d, 0x1ea01809, 0x864846a8,
+    0xe0122cd3, 0x4c764260, 0x25f59207, 0x9ec49c1b, 0xbd240ef3, 0x91566744, 0xd4759fbc, 0xee5b1b74,
+    0x2a4b9213, 0x8ed9d28f, 0x86adcf88, 0x6c431515, 0x583a3d91, 0x39c991fb, 0xf1076c35, 0xd0dde4c9,
+    0xc5ba816f, 0x5c0b7304, 0x705fc28d, 0x4754ff86, 0x60c9aa65, 0x906756f0, 0xdc8feb21, 0xf6b77671,
+    0x1d66e690, 0xaeeb2441, 0xb4045feb, 0x7ee57c11, 0x78dfe7d6, 0x6e69ad75, 0x9d293758, 0x90d24bda,
+    0x8cff56c7, 0xa029829f, 0x907a7ef1, 0xad0bc219, 0x24d236b1, 0x1de7d3d4, 0xebbd6331, 0xa9dea7e4,
+    0x2f734822, 0x72f26ddc, 0x08d55717, 0x4aaf766b, 0xcd409fe7, 0x612a0a5b, 0x94102a61, 0x0964b546,
+    0x593faf27, 0x70d0abf2, 0xa8a08f8a, 0xcf84d137, 0x4d72c5ee, 0xf522307c, 0x3c859d75, 0xa348c494,
+    0x474fbf82, 0xe09fe0ff, 0xb530504d, 0x149ea210, 0xcc62ffe7, 0x75542e0e, 0x594c6c6b, 0x15b264a6,
+    0xca4c8d9d, 0x1bb21451, 0xa8dd70fa, 0x61b10f99, 0xcff0e17e, 0x6a8b6e21, 0x4c72070a, 0x8ff65967,
+    0x58897c62, 0xa7e0ec25, 0xfe7a33fd, 0x70059c6f, 0xb6d641ed, 0x1b46265c, 0x6cee5af1, 0x6e7bd99d,
+    0xa37b2d85, 0xb45709bd, 0x09122833, 0x50befa3e, 0x462c4bd8, 0x415a5a10, 0x9083af28, 0x92c6d678,
+    0xf869789b, 0x21c7575c, 0xb350b382, 0x792730b9, 0xac714be9, 0x255edf8c, 0xb8bd9ed1, 0x70294284,
+    0x84261937, 0x2040dff5, 0x7eca6412, 0x6d7d1b4e, 0x8ba48d00, 0xf0f466c1, 0xa298e9c9, 0xfe56c4f5,
+    0xf5b9441f, 0x12ad216b, 0x875f5335, 0x02417286, 0xd9016ae2, 0x058e0418, 0x58f44225, 0xad882286,
+    0xd2fef008, 0x56243b7c, 0xc8ef6a7b, 0xe70c67d6, 0x804e3e93, 0x60e17b54, 0xb13582b9, 0xd8624bdf,
+    0x76097f51, 0x4608f9c4, 0x8f1eccaa, 0xe7304b2a, 0x874a103f, 0x77cacc11, 0x8c5f6cea, 0x11d3f9c1,
+    0x63cfeaed, 0x336c66c9, 0x2a52f2cc, 0xd3f7271f, 0xdb3d413c, 0x7feca03f, 0x42e1d500, 0x2354a7fc,
+    0x855cf5d5, 0x72bde9d2, 0x1d32b6b9, 0x00bf6eaa, 0x04584748, 0x82072afd, 0xf25ab3f1, 0x5a6a511d,
+    0x6b9da58b, 0x49bb4286, 0x89a1a19c, 0x294a9ca8, 0xc26db837, 0x80bc3ad5, 0xba47cec7, 0xf6fd760f,
+    0x6c9c1011, 0x946b363d, 0x1d045158, 0x8188a242, 0xc182ecc7, 0x8fafd265, 0xd77b1c65, 0x18d73fd7,
+    0x191e0644, 0xef47f6a6, 0x3f9eaafd, 0xfcbe4bb6, 0x726abe44, 0xfe94bfc4, 0x4bf28ae4, 0x6b61c1a8,
+    0xaac539c9, 0x086a0760, 0x40353d4b, 0x0d404010, 0xd4733cbf, 0x8900d625, 0xdc9c2f3b, 0x9b3de5a6,
+    0xecd57fee, 0x58826c07, 0xcde4e634, 0xb13cb437, 0xb4af9405, 0x646378b4, 0x73da89d7, 0x3e90c0f8,
+    0x366edad0, 0x5759dcdf, 0xbda25f18, 0x68ff9237, 0xbbe5bbde, 0x81dcd792, 0x8850dac7, 0x66551a42,
+    0xae8a8b22, 0x87556966, 0x51f14287, 0x7b9a9c04, 0x0773aea1, 0xf784cf9a, 0x288b090e, 0x9f1f427b,
+    0xd29e7a43, 0xc6aed6a1, 0x81527f51, 0xbe50d4fd, 0xa90a67d1, 0xe5ada4eb, 0xb93083c7, 0xcaa9ae37,
+    0xda090a9a, 0xb2e5ba7f, 0x353ea56b, 0x09ebaf39, 0x6d235b31, 0x9b749ad7, 0x5347b2d0, 0xcfb2ab14,
+    0x2d5777d7, 0x4945d6ea, 0x1e306fe4, 0x936ba785, 0x1cc3113e, 0x29796166, 0x36a46342, 0xc1c91812,
+    0xf0675542, 0x8d9a1fb7, 0x0f6c10fe, 0xc430a42c, 0xfb6beddf, 0x45d4c1dd, 0x160e3f46, 0x7510d13d,
+    0x8da25e14, 0x9888313b, 0x4e2b8592, 0xe01d94da, 0x52ade55c, 0x70eae413, 0xfaf4a5cb, 0x7332304b,
+    0x2fa152cf, 0xe6c7e456, 0x9cffb10b, 0x8ba27f14, 0x976be0a0, 0x2f5950c7, 0xf532fb4d, 0x45b58c0d,
+    0x968bff1c, 0xb22e76d5, 0xc0099a93, 0x4dadfe1f, 0xa693f118, 0x0c4cd8f4, 0x97063269, 0xac3f8f89,
+    0x00000000,
+    0x65c8ea02, 0x56cb0f68, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000009223372036854775808 */
+  { 0x00000000,
+    0x7ed15d97, 0x044c69e9, 0xc4c09d6e, 0x7baeabd5, 0x0f1b2b3f, 0x576ba674, 0xe9ae0784, 0xddc75478,
+    0x5cc86519, 0x86def8c1, 0x34f1af94, 0x435d9adc, 0x82d8a5b1, 0x75ae0226, 0x63508587, 0x0f37bbf9,
+    0xcea45fb1, 0x5a741411, 0xe928396e, 0xa84d3a43, 0xc95a4faf, 0xcc07c0f4, 0xf53d2c93, 0xd7394443,
+    0xd1623ec0, 0xf29459f1, 0x9379f5e0, 0x4fb1393e, 0xc4664af2, 0x841090cf, 0x723d56ba, 0x824f81f5,
+    0x0704e4e0, 0x096d8eca, 0x59c17501, 0xe68f2d19, 0x4365ec0a, 0xf8187acb, 0xbb57f57f, 0xcadc8280,
+    0xd04c4909, 0x0cc80703, 0x02d5b52b, 0x830f4a4d, 0x415b02ed, 0x9aaf4f9d, 0x240f7867, 0x1a1fc0ac,
+    0xf4b119de, 0x50d0435e, 0xa33d725a, 0x3582db7d, 0xecc4eb61, 0xa78e1d0c, 0x2705ef1c, 0xe30b8762,
+    0xf2487dfc, 0xeb1e1086, 0x5b1c8c85, 0x7a296b6d, 0x3e284561, 0x43a32232, 0x649d54ab, 0xa437183b,
+    0xf0a463e2, 0xf34db641, 0xea16e723, 0x238c1f03, 0x41ca5ab6, 0x8b2a2db6, 0x1bd5248e, 0x6497a681,
+    0xee8ea355, 0x709ab8d6, 0x96e5e77a, 0x1179b32c, 0x092a446f, 0xdcc38570, 0x76fa7afb, 0xf3c8b336,
+    0x408da35d, 0x9b8e40ac, 0xd54c9064, 0x23e59c74, 0x5667e7b0, 0x8733249c, 0x856fb758, 0x28fa9b1d,
+    0xbb28c499, 0x0b31a2ff, 0x29b087e4, 0xbb41151f, 0x0fb4fd90, 0x918da39e, 0x907d8d08, 0xb296cc2c,
+    0x785d022a, 0x7c1d57c6, 0x19b71234, 0xf6ce04fa, 0xf1a6cf1c, 0x67cfc960, 0x3f8d42ae, 0x1e347045,
+    0x10f08fae, 0x63eff394, 0xde1122c2, 0x8ecad41b, 0x3fc7bc24, 0x4dc3c860, 0x2ea14d91, 0xd3d5a2f9,
+    0xa25036e0, 0x97b8ad2c, 0x8b41b7f8, 0x0c32fb00, 0x7b54227b, 0x6bdb556e, 0x751053bf, 0xaeb55e1e,
+    0x9691c40a, 0x18753fce, 0x89dacb56, 0x3504e174, 0xf0a79470, 0xc4504d5f, 0x5c14943f, 0x9aa762c9,
+    0x3a268e6a, 0xdccceadc, 0xf3972bc8, 0x44e05017, 0x38ed3c25, 0x72d8dfc3, 0x25135e31, 0x6ccfec4e,
+    0x55463688, 0x8221ad35, 0xb6482fa2, 0x67d28301, 0x7ea128a2, 0x4a9a91a7, 0xe488e2fc, 0xf066e415,
+    0xd206a6ec, 0x54119250, 0xa2f07621, 0x253d52ed, 0x092e06ad, 0x393d2c9a, 0x20550cbd, 0xc5938f37,
+    0x57da8eab, 0x903b1792, 0x80b7b2ca, 0x74f67967, 0xd2aaf729, 0x24517968, 0x0418ec30, 0x006c5248,
+    0xdb996f12, 0x3a85012f, 0xcebf3e42, 0x69013ea5, 0x873f1ca8, 0xf0383433, 0x848cea41, 0x15504e44,
+    0x60563df2, 0xaa1ec641, 0xe0fa3183, 0xffb928ab, 0xc57a19a8, 0x4f52df3e, 0xb48c1365, 0x6f4bf738,
+    0x80100e24, 0xbfa0269f, 0x714b9b22, 0x8466d263, 0x459305a0, 0x712de4f2, 0x55bdd3ad, 0x8d5b39dc,
+    0x5dd55802, 0x0aaf94df, 0xee8a051a, 0xd479b536, 0xa567df1f, 0x1181c416, 0xbb2c56ee, 0xaf6b84ec,
+    0x205969b1, 0xfcf291bb, 0x93c85c55, 0x0efd1062, 0xa7502f5d, 0x28247b73, 0x99a5a5ae, 0x7e89ebf6,
+    0xd1bb05ba, 0x1c0c2b07, 0x0f603f17, 0xa915ba82, 0x59acf30c, 0x09f19ad1, 0x906e1ff5, 0xb051b511,
+    0xd297d81d, 0x9aa4fe20, 0x0f7894a0, 0xd7aeb72c, 0x783e70a3, 0x9cc8b033, 0x392fd710, 0xbc433dd5,
+    0xd3302571, 0x9a103ddd, 0xc3b155a6, 0xdfddbf90, 0xe5a7ff2b, 0x949374f7, 0x1b0de6cb, 0x40f3b1bf,
+    0x5cebb43f, 0x3685c4d6, 0xe22ebb46, 0xf3948209, 0x550cd0dd, 0xf925fe62, 0xd931b98f, 0x6db0c73e,
+    0x3898a8ad, 0xa74b28f9, 0x9d024238, 0x5ea28195, 0x41300e24, 0x682e3660, 0xbfcce83f, 0xe93e1c3a,
+    0x9964679d, 0xb05201bb, 0xccd4cbfc, 0xcc0ab56a, 0x9e76161a, 0xcbd8eb50, 0x634435b8, 0xd7cabb11,
+    0x62a67e09, 0x66dbc8e9, 0xc7a44e77, 0xa9034c90, 0x7bc1f2ca, 0xbd45b760, 0x4beae6c2, 0x899a766a,
+    0x2666b2b8, 0x54c841e2, 0x1b40b094, 0x1b8242b3, 0xe1710e30, 0x4f8ce225, 0xfd086826, 0x9ad4f566,
+    0x140f2c45, 0x6a2335d4, 0x1b9652e4, 0x5464a8e1, 0x5d02f626, 0x10a3b5ef, 0xff4334d8, 0x3463efa5,
+    0x2c1ad73a, 0xa8599fa9, 0xb64703d8, 0x49d008e6, 0x81a86944, 0xff83874a, 0xb13f9928, 0x3b43d2e7,
+    0xb8524e62, 0x867e3857, 0xd366b999, 0x97fcbc36, 0x24bc4a9e, 0x1d28ebea, 0xd2a8c92f, 0xa3c42688,
+    0xfb3734e3, 0xffba345d, 0xfad664b6, 0x8d390810, 0x9878c58f, 0x0d293a1a, 0xfc754ba3, 0x66a2079b,
+    0x5e7a849e, 0x2ef6394b, 0xb1517947, 0xb6b9b755, 0xa1060a94, 0x9cd7a527, 0xaa4662d9, 0x156482cd,
+    0x156541fb, 0x578e161a, 0x82a96dac, 0xbc7af8ee, 0xc8a8a035, 0x93cc390e, 0x6866391e, 0xd85c31e1,
+    0x294c8b4b, 0xf50e401f, 0x26089f97, 0xe36da040, 0xbdc0ca81, 0x3fe6c23f, 0x6378666b, 0x51fe91a0,
+    0x659d509d, 0x7c74ed41, 0xa72c037f, 0x91fcccf8, 0x9dda6730, 0x5ec0569d, 0x07ec9de1, 0x22a41a67,
+    0x7a2a20a1, 0x67c67f5b, 0x4e04cc10, 0xc3889072, 0xcf1b46ed, 0x53c99a58, 0x49638349, 0xe92fe3f0,
+    0x96e965b1, 0x80afbd33, 0x4114ac0f, 0x1aa8e963, 0x7485fd61, 0xa7aae830, 0x79752bd0, 0xb0fd98c0,
+    0xc0803c1d, 0xff814623, 0x49a23f88, 0x43fb8ad6, 0x9e35d635, 0x54d799f4, 0xf12c18cb, 0xe5c3517a,
+    0x1c5fb159, 0x1605732f, 0xd9aa06db, 0xa09233ec, 0xcdb6e3d7, 0x2a0774a0, 0x042d54f4, 0xa0268866,
+    0xe936f322, 0x50213ae0, 0x66998998, 0x1513e56e, 0x9e1aedb3, 0x6a892d79, 0x34cc0ac2, 0xc936f0a4,
+    0x0f76a10d, 0x205d6697, 0x73e36b95, 0x94f85a57, 0x52b97c33, 0x9433fb3a, 0x214235f5, 0x677f241a,
+    0xf78af02d, 0x13b8a746, 0xf40f3460, 0x26a46759, 0xe4dad7ac, 0xffc5c378, 0x41384ec2, 0x3e9ed925,
+    0x1be2137d, 0xd340c258, 0xbffdb795, 0x25c23392, 0x6219a5f7, 0x33acefa9, 0x36f000b2, 0x2f73c3d7,
+    0x05c329cb, 0xeed6b82d, 0xcc53e90c, 0x486029a3, 0xe73e1a8c, 0x9707590d, 0x159e691c, 0xe466ba20,
+    0x5ffe9660, 0x2537e18c, 0x90cf6549, 0x42b722d1, 0x740dc89a, 0x5f558839, 0x31d01a0b, 0x1cf85c98,
+    0x6da26ee4, 0x5fd51252, 0xf0f58c94, 0x1120f091, 0x53d9a91d, 0x69baeaaf, 0xc133bac9, 0x3855a8a5,
+    0xe636945c, 0xd015cdf8, 0x2d342f69, 0x64d9823c, 0x4032427c, 0x0c54eecd, 0xef06d98e, 0xa60a8504,
+    0xa6385fe8, 0xc49e2987, 0x1f4ed8ff, 0xd1a9d4c9, 0xfeaebe90, 0xffe12f7e, 0xa52f1172, 0xd5505897,
+    0x150a984e, 0x419a5805, 0x7a56754d, 0xace7d544, 0x803d9c4c, 0x83ca375e, 0xcb274117, 0xd8f4848b,
+    0x791fc5ad, 0xb23a3f58, 0x405d5164, 0x4dd33377, 0xeea8f65a, 0xde7ce999, 0xd34a3f2d, 0x77d46eb3,
+    0x7185e280, 0x1a3cade2, 0x082dd9fa, 0x8662c92c, 0x4da56156, 0xf5a1f735, 0xcee46de5, 0xff084a2b,
+    0xb7f819ff, 0xc1717c95, 0x49447711, 0x0ebb8211, 0x5110d9ff, 0x65d99ffc, 0x7ee4958b, 0x97965f89,
+    0x2851c237, 0xf8eaa0af, 0xf8583cd5, 0xb1d7aea0, 0xc3370788, 0x2e1d27cd, 0x70c386e7, 0xff7a2700,
+    0x2390465e, 0xa5393109, 0x305b96e7, 0x409f9504, 0xb0d2250c, 0xc9bbdaf7, 0x3d9acd66, 0x50f8bdb1,
+    0x09f0ab47, 0x4316a6c2, 0x2781d376, 0xbdb1f32d, 0x1315af58, 0xcd8a08bc, 0xe95294fa, 0x548160a8,
+    0x45bf6434, 0x980abd7a, 0x99bac3f4, 0xe26b6bda, 0x88ca9175, 0x5301d5b2, 0xb356a633, 0x28d2055e,
+    0x5e4d66ae, 0x5be99251, 0x648ce757, 0x35476619, 0x75bf9cd7, 0x73dca5e0, 0x5ed4d52a, 0xf02fd7ae,
+    0xebc3d84d, 0xa45ada8a, 0x82e94031, 0xbd150ef3, 0x3ced382e, 0x97fbbeba, 0xc04d57ef, 0xccae0494,
+    0x2d89f776, 0x6d768e72, 0x7c90aaf5, 0x6d0689a8, 0x753fbdf1, 0x92f1d3f4, 0x8a5b7164, 0xaeffa70c,
+    0x8fcba1dd, 0x90d082b8, 0x07a5cd3d, 0xeff509d3, 0x94a7dd4d, 0x25dd6d94, 0x4036c6d8, 0x8de28844,
+    0x8ff710e4, 0x054d34f3, 0x2cd8ac80, 0xc645edae, 0xc76b6910, 0x8ebdac9e, 0x9821432c, 0x470be994,
+    0x596f126b, 0x464398db, 0xe1670a09, 0x7760decc, 0x8d07a904, 0x23e8f9ca, 0xb38c31c0, 0x5075ece2,
+    0x7977572c, 0x70b576a6, 0xbefabd7b, 0x863d670b, 0x7185fe45, 0x36d73138, 0x680681fb, 0x464b7682,
+    0x3fb60fa5, 0x14c0c4ce, 0xafc7f604, 0xaa90a47c, 0xa1cd5038, 0x65f1b56f, 0x4ed5ff6b, 0x30ad8bac,
+    0x72671bfd, 0xa616761c, 0xb02829c4, 0xc1c43d15, 0xb5aad07e, 0xe36c44d1, 0xe1cfa4ad, 0xa970de27,
+    0x25d94440, 0x2c4ec577, 0xe026ac2b, 0x0f6e5c9d, 0xfe12cdf1, 0xc12a7876, 0x4e2e5ec2, 0x05143660,
+    0xd057e700, 0x1cab9551, 0x4fb84129, 0x3c6bf3a0, 0x77edac4e, 0x375b11bc, 0xc28fa118, 0x8fef01db,
+    0x8bcdacbb, 0x7b7a222d, 0xd70648a2, 0xcc9e88da, 0x02f5f5a0, 0x1be57d63, 0x25ea6053, 0x2c9d8082,
+    0xc87ca7f6, 0x744f8d85, 0xb9f9b301, 0x8f1c5d33, 0xe902437d, 0xfe4d8a3b, 0xc32e066e, 0x2fc805c9,
+    0x69fef7d5, 0x90efcde1, 0xeedf39bb, 0x993a8f86, 0x457e055d, 0x1b0ca767, 0x76619982, 0xf8b4a07a,
+    0xbd089413, 0x16b8bb8a, 0xb1319d53, 0x40ddee74, 0x14bd489f, 0x9ef99a34, 0x38b9cc2a, 0xb57e46a0,
+    0x4674e652, 0xfc38b58d, 0xb66720d6, 0x4f978fe0, 0x09fefb07, 0x9100cc2f, 0xf7711e7c, 0xe2d95cef,
+    0xf9e9c4d8, 0xbbbe1371, 0xcbd22936, 0xfad02758, 0xce2e3ce1, 0x32ab0e9d, 0xef806503, 0x41a094c0,
+    0x1840a4ab, 0xc34ae411, 0x1e6e3221, 0x899b513e, 0x9c460d60, 0x33cd02e7, 0x50b3eab6, 0x9c153b3d,
+    0x55245e76, 0xeefef2fe, 0x2303439c, 0x5f7aedfe, 0xdeb743dd, 0x66e78f4d, 0xcd6e4ed4, 0xedfe2aeb,
+    0xdb93900f, 0xa5819bad, 0xa836d570, 0x464e1270, 0x9a0b95ec, 0x74b66df5, 0x6fc2562a, 0xf06d9b9d,
+    0x9a32f8b8, 0x1f54e479, 0x31942465, 0x28af3633, 0x2cf26c4e, 0x70a93edb, 0xe0ef0047, 0x5f64f61b,
+    0x41448162, 0xbb8df90f, 0xad01bbde, 0xc2884696, 0xd71909cb, 0x9c92a135, 0xa40a41a9, 0xe04454c8,
+    0xa78bd7e2, 0xe9d003fd, 0xfa52de6e, 0x25340b64, 0xfe2bb5cd, 0xdb59ec39, 0x431e00ec, 0x4377904e,
+    0x37490b08, 0x7fa76f8a, 0xbb9316f4, 0xa49d1060, 0x734bcac6, 0x5818db43, 0x0b6a77f8, 0x4d2ea0f6,
+    0xe7cb7198, 0x52ccf7e3, 0x17cba76f, 0x38d921f1, 0xffa55033, 0x6fe93b49, 0xc95e0aef, 0x12786d6e,
+    0x82b0bc5d, 0xcf86a8d8, 0xfec19020, 0xe4e08bc1, 0xbce2e9cb, 0x6cc1e873, 0x5e24175e, 0xf298c4be,
+    0xb5387d46, 0x25dcc821, 0x73b16b1d, 0x9a4686f2, 0xb0370f78, 0x63f5fd54, 0x9bed26f2, 0x94ffb591,
+    0x14c40d18, 0x10c02386, 0xfdf68ccf, 0x61f8baff, 0x469fdee3, 0x32c74f34, 0xc8bc72e4, 0x59ad59f2,
+    0x2f21ff43, 0xcb9e47ca, 0x36f9de0e, 0x7df4cc65, 0x3037528d, 0xddba5e81, 0x8f54d23f, 0x8af506fc,
+    0xc36b7016, 0x86367c48, 0x3f5d07e0, 0x704e5895, 0xfad7770a, 0x88b727a8, 0x280ed872, 0x14703d78,
+    0x214ab4c3, 0x35471d9d, 0x150f5418, 0x03fcf9cd, 0x6b44bd04, 0x0eb55046, 0x6dc50317, 0xa42293f1,
+    0xf4d70da4, 0x98e6ef6c, 0xe0d0592a, 0xfee4da40, 0xca0372b1, 0xe372f71a, 0x6b069fe6, 0x2e76e2ba,
+    0x163a7ffb, 0xbe02295c, 0x10ad4d99, 0x089ae963, 0x9687a8d1, 0x92e29dc7, 0x024225dd, 0x68c067e5,
+    0xae01f9bd, 0x98c5e404, 0x8bdb9c97, 0x37ed88d2, 0xa7341c7a, 0xac0cbc5e, 0x555f53c1, 0x7a6bd784,
+    0x5840abbd, 0xbab51c98, 0x6377334b, 0x98742e8b, 0x0f659e2c, 0x3c75ede6, 0xd96199e4, 0xd28cf789,
+    0x024acb16, 0x842b97a1, 0x549cca95, 0x582bca9e, 0xde6a7eae, 0x9224dd09, 0x57ed69cf, 0xc1d51463,
+    0x0f3449c3, 0xa46bbed8, 0xfa0bb88e, 0x12d35bc3, 0xfd008506, 0x4bf4511c, 0xf04cbaa5, 0xb05dca0e,
+    0x14cd0097, 0xe1e399e6, 0x1eccce77, 0x1114aa3b, 0x240eb6f0, 0xb1f55cc2, 0x57fdd763, 0xc6740225,
+    0x031db969, 0xf6940345, 0xe560e3b5, 0xaa0c0152, 0x4401c193, 0x591f99bd, 0xc762b684, 0x315b5d90,
+    0xb67e1b4d, 0xb2dccdee, 0xc4e12939, 0x8c5ca8f3, 0x0921d728, 0xfea79d13, 0x16a8e1ac, 0x5262b012,
+    0x7bb89221, 0x2c6735c2, 0xbcfd2580, 0xc8bae856, 0x02d3b93d, 0xa0781805, 0x5a69cc34, 0xf527153d,
+    0x59ab7a01, 0x58099237, 0x59e51ae0, 0x2dd306c0, 0x9e7f3a84, 0xfaad8c17, 0xf4a8b1f0, 0x4b3fe212,
+    0x5d5cb63a, 0xbaf9d35f, 0x98722f5f, 0x4d4f3de8, 0xbb53ca68, 0x0fce84d4, 0xb3fd85ce, 0x835d3787,
+    0x4a936bea, 0xff070e30, 0xa99d99a5, 0x3332239c, 0x2d47e2f3, 0x7d24c5c0, 0xaa8be245, 0x2af4f9fe,
+    0x07003ba2, 0x03b91cff, 0xb5473ce2, 0x28298dbd, 0xf4221097, 0x85fe60c7, 0x39e65cf1, 0xf291cda9,
+    0x99c6cfa7, 0x117646af, 0x892cd923, 0x87b4c9ee, 0xb32b3420, 0x9f3e8ade, 0x6c76a0ab, 0x34b54372,
+    0x16538164, 0x8a9d0170, 0xc3a62579, 0x0bda6132, 0x06e06f8c, 0xe21707a8, 0x048e77c7, 0xf945a77d,
+    0x9143066f, 0x88c79bb4, 0x05ad77da, 0xb639dcd4, 0x121834e1, 0x2868c5f9, 0x6568d18c, 0x72b33a1c,
+    0x8b51731c, 0x7ec8de22, 0x7f9373e4, 0x6a3e6b56, 0xfdd464ed, 0xf5187717, 0xff63f2e3, 0x242c651b,
+    0x3f5baa9f, 0x0ca83eeb, 0x906940b6, 0x1d503bd9, 0xb70dbc63, 0xa34ed515, 0x41c03cb8, 0x52c00f9b,
+    0x370d4adb, 0x9f2a5f8e, 0x75114446, 0x1d9b12e2, 0xdafdde83, 0x1643597a, 0x39b09d6c, 0xc22cf4d5,
+    0x85f791be, 0x33c14cc8, 0x80a9118f, 0xfe0bfdbb, 0xf549a339, 0x47a1929d, 0xb80d8cf8, 0x3c7f42e5,
+    0x5d236e86, 0x81eab99a, 0x753b57f9, 0x28ad158f, 0x60ff8ed5, 0x1b99df62, 0x8b2809a1, 0x460138ae,
+    0xaf614d6c, 0xa873853d, 0xb9820d7d, 0xad7fa560, 0xfa02b297, 0x9df606e3, 0x9624232b, 0x6d4fdea1,
+    0x4d7dfcea, 0x2419f260, 0x6c361b2d, 0xa80edffe, 0xc18ee20c, 0x1748b612, 0x35134d7f, 0x6959d833,
+    0x60141911, 0xa13c5fb7, 0xf52a4b68, 0xe3925caf, 0xb31de801, 0x106bdd03, 0x0acae088, 0xf253fe97,
+    0x6b1402db, 0x82b1d8b5, 0xc459d6e2, 0x518cce25, 0xe96f6803, 0x6f93b6c4, 0x821d6e3e, 0xcbcd5609,
+    0x20cb5637, 0x23ab9018, 0x9cd3ffa6, 0xb832f681, 0xae7ad408, 0xa55d210d, 0x349749a5, 0xdce4dcb5,
+    0x1030b430, 0x9be1791b, 0x7b58e4c9, 0x9dfc67d5, 0x43cdff99, 0xf9303313, 0x712f3c5a, 0x3d071c9e,
+    0x6b8cdb48, 0x3298523f, 0x9d93bfc5, 0x134d1569, 0x3329289f, 0xe72a6e65, 0xe4e75a5a, 0xfacd4e4d,
+    0x9ccc3ba5, 0x89e8fd29, 0xc5aede72, 0x7afccb24, 0x8fa7ffb8, 0x89ea77da, 0x3555f7f1, 0x76ef46fe,
+    0x88a0d22c, 0x60f0d0bb, 0x82e9f944, 0x64ce0b33, 0x19f285f7, 0xd3a44e89, 0x8b244e3f, 0xda7aa8b8,
+    0x1d664141, 0xcee866a1, 0x695349e0, 0xc4f26926, 0x05dd9d4b, 0xf8a07fca, 0x7d059e53, 0x0a0ebb5e,
+    0x48e1ffaa, 0xcb63be14, 0x307ec5b7, 0x8f4ae8d9, 0x6f68f6f9, 0x0ace22dc, 0x164b375a, 0xd1fd4b48,
+    0x00000000,
+    0x32e47500, 0x2b6587b4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000004611686018427387904 */
+  { 0x00000000,
+    0xdeeb8539, 0x67718ea6, 0xf3d71008, 0x0edeed8b, 0xca729ae6, 0xfe1fdf58, 0xc5571c54, 0x3a4253cd,
+    0x5a1f8a0c, 0x7787164f, 0x430447e7, 0xcc41a16c, 0x935c8ceb, 0xcff44d49, 0x603374c4, 0x856fada8,
+    0xc1356eea, 0x4b53e56e, 0xc94bb25c, 0x7088e3b1, 0x531958e1, 0xd4e2ad4c, 0xcca1f963, 0x44d06e9b,
+    0xd85b14c3, 0xe8936b1a, 0xa8e945ae, 0x45ba8da3, 0x9075718f, 0x306c66c2, 0xd14f7166, 0x202101fd,
+    0xab836b5a, 0x32634457, 0xedc7e061, 0xcd6143ce, 0x9a9b29a9, 0x9598ec41, 0x39a94a41, 0x1952d1db,
+    0xbc0b3155, 0x9669bdec, 0x77b754c0, 0x17ea7e31, 0x5b72a485, 0xd130e04d, 0x9684a39c, 0x1ae45138,
+    0x2823e814, 0x2fb2eb0f, 0xb913010b, 0xedb9624c, 0x0e369772, 0xcbe216d7, 0x1430dc21, 0x0060c592,
+    0x4050097d, 0xe403a39a, 0x24bffbda, 0xfa6d97a7, 0x28514864, 0xd293fb4b, 0x96f81a3c, 0x48927c71,
+    0xec62d387, 0xc5f450b4, 0x66ceffb9, 0x909d99b6, 0xe7cd55fe, 0x1a5e13d6, 0xcc7b824b, 0xa61b3678,
+    0xb118e0e7, 0x10b044bc, 0x18bee870, 0x7965eda5, 0x8a981dc5, 0x1597897b, 0xb06cf9d2, 0x46dfa4cd,
+    0x92ef1d14, 0xea7d3477, 0x236b915f, 0xfd18a5cb, 0x6b4f554e, 0xa4d725ff, 0xcdfe1e79, 0x84775b82,
+    0x1e95ceb0, 0x933624b3, 0x9af197dd, 0xa679771f, 0x59aa36a0, 0x76baf513, 0x1d753381, 0x5726ae72,
+    0xe18177b3, 0xbd301d68, 0xf0b17286, 0x6beed29d, 0xb021e6f7, 0x865d6215, 0x11a70492, 0x6cb62843,
+    0xb9c3197b, 0xb59e4f65, 0x3b08406e, 0x789b8ad8, 0x3e99174b, 0x98f8096e, 0xf8e280fc, 0x374349cc,
+    0x537a754f, 0x4eda064e, 0x89d1bacc, 0x1822a26c, 0x30f8ce7e, 0x3012ba84, 0xe31cf301, 0x50d4e78c,
+    0xc7e0eb5a, 0x442cf02b, 0x6d16884c, 0x304d965a, 0x805b36b3, 0x8c0de4b2, 0x6a9ff1b9, 0x8ab1cf36,
+    0xa73e49fc, 0x8f9f8e2e, 0x5b98e6cc, 0x7a782631, 0xaaed107e, 0xfff3e19c, 0x5178b549, 0x1790b95d,
+    0xffc0057d, 0x73c21336, 0x065b597d, 0xdb9ce1a7, 0x34dba631, 0xac4ba2fa, 0x30cfe8d2, 0x91dac62c,
+    0x87d7de93, 0x2ee660f6, 0x77432c12, 0xa13c2cb5, 0x9c7c14ca, 0x9aa14b8f, 0xd6f3fe82, 0x4ec9549a,
+    0x228603d5, 0x2c93c0b1, 0xe9964bb5, 0xe6ad103f, 0x9db70150, 0xa3fee39b, 0x4c1f1b49, 0x569c1b9c,
+    0xecc0fcb8, 0xbb40a69a, 0x7f7b7409, 0x25e5f154, 0x575cd31c, 0xaf69782e, 0x6acf907e, 0xa4bcce79,
+    0xdf9d869c, 0x1f142cc6, 0x60497999, 0x05dd70f0, 0xef522188, 0x3e668b6a, 0xdd9e72a3, 0xd3971261,
+    0xe66926bd, 0x3f19c24e, 0x41407f55, 0x2ce72317, 0x49f0abce, 0xfc8a9361, 0x53743903, 0x248a620f,
+    0xf57ec526, 0x7b1e6962, 0x318ae6a9, 0x8a8e82a5, 0x00c657c7, 0x82341dd4, 0x9ff18700, 0xfd9a68cf,
+    0x4c71d6c5, 0x746f9386, 0x89d81a69, 0x50ff6761, 0xb36e0dac, 0x7ba854df, 0xf864fdb3, 0xd4c05a4e,
+    0x9b4b88f2, 0x5ce1dbd5, 0x4ac7b1db, 0x6d7cfec2, 0xa770c99d, 0x38bdde00, 0x1e8fe74c, 0x73e9c2ca,
+    0x12cde4f8, 0x7cbde600, 0x96b99ea9, 0xeb067d11, 0x8fe37d9f, 0xf4732ad4, 0x0a3fbdff, 0x7470b644,
+    0x42fa2291, 0x6ae9c2d6, 0x067e3c6a, 0x3a7466ba, 0x5a5980ba, 0x7138b60a, 0x48e7ce31, 0x48ad3872,
+    0xc5fa10f1, 0x6b59cddf, 0xd191e547, 0x3df54b30, 0xd0bef39c, 0xfab5ac73, 0xcaa60f7c, 0x51635e59,
+    0xe7782de5, 0x47b51ca9, 0x9c647973, 0xa596ef71, 0xd66a0a5f, 0x3e0d03e7, 0x374d18bc, 0xd425ee61,
+    0xd4d85758, 0x67a64f46, 0x8a793ef9, 0xe71a206d, 0xa87834b3, 0x425dc6c7, 0xb5b289dc, 0xc72c5dc3,
+    0xa576393e, 0x5a9db32f, 0xf428a6bf, 0xf09896e0, 0x0993529f, 0xaa13e032, 0x4ca94936, 0xa9c4e88a,
+    0x8bcdd9a8, 0x619d5914, 0x6fa07fe7, 0x564aed8e, 0xbbe52471, 0xad1391ed, 0x18a465b2, 0x766da3a7,
+    0xdc07bd33, 0x949080d4, 0xafad302a, 0x7239da2e, 0x0e69a51f, 0xa8215dfb, 0x683d2ca9, 0x2d2154b7,
+    0xc87312e7, 0x4a841b3d, 0xd23684ef, 0xa638a3a9, 0x1cd55cc8, 0x7d0e6ae2, 0xbced67d8, 0x0bde6b63,
+    0x61f09eb3, 0x652114b9, 0x6b50b7b8, 0xa6fcc244, 0xd422ea41, 0x7cabcc63, 0x142ac9ef, 0x019d9d5d,
+    0x97d71873, 0xe8e61d1d, 0x4f41348f, 0x2e9c0a9e, 0x1d9f9fb3, 0x3d800a60, 0x441394f7, 0x0a796a60,
+    0x6b287c47, 0x508ca0a4, 0xa2acd023, 0x2a396238, 0xb02745a5, 0x7c1e0ca0, 0x9ae84dff, 0x4506cabf,
+    0x6219b9cd, 0x6052ebc4, 0xfff9bc96, 0xc7f58b54, 0xb692c815, 0x6ddc2797, 0xea360aae, 0x404e6235,
+    0xd0c17fd1, 0x090e2624, 0xc4ef8d55, 0xe4644507, 0x541e2930, 0x86c3e153, 0x665b6404, 0x7c08e67c,
+    0x16cc9433, 0xda1ef35f, 0x88c61958, 0x19339b6d, 0xf6501f06, 0x404e7401, 0x24ea225d, 0x19a362c4,
+    0x6c0482ab, 0x9ecd573b, 0x75d8fc76, 0x5a9eb86a, 0xeddf8330, 0x5643937a, 0x5cd03eed, 0x099eb43b,
+    0x44728d4f, 0xaff5d603, 0x5ff7b7a1, 0xb2fe7520, 0x051f485d, 0xeee04ccc, 0xe306d2e5, 0x1d8ae04e,
+    0x5fc085ec, 0x07881a0e, 0x2beaf0e3, 0x8974b403, 0x647256d5, 0x94599fde, 0xe4fde96f, 0x8b808579,
+    0x240222e2, 0x9c501465, 0x899eaff1, 0x8d54bd80, 0x00c2e928, 0xe2aabb99, 0xbc409c83, 0xdcce366b,
+    0x2bf01418, 0x38da3d13, 0x66042e6b, 0xbea0eb31, 0x513f7bee, 0x539460cb, 0xbb485455, 0x5f674162,
+    0xbaeda404, 0x4111edd6, 0x17dca16c, 0x5df8d663, 0xaac9e269, 0xf316c9eb, 0x157cabf2, 0x794701c6,
+    0xa6c3ba42, 0x8ee1b889, 0x4bdb6698, 0x3742529c, 0xcf98fe93, 0x46d858aa, 0xc4ab7616, 0xb14e661d,
+    0x678ac262, 0x9979d1e6, 0x6c968d0d, 0x39d075a0, 0x7711d2b7, 0x714cb6d0, 0xda7096e4, 0xdf7a89bf,
+    0x9eb47311, 0xf1084c61, 0xcba48e19, 0x8ecf3aa0, 0x1c4a1f7a, 0x09748817, 0x8aa17c1b, 0x77318490,
+    0x5b91835a, 0xfb581810, 0xdb598215, 0xc1052cef, 0xc300646b, 0x001675a7, 0x16c73725, 0x317c2805,
+    0x6cedddc2, 0xe03e2b49, 0x1cd8ebc1, 0xec7424d4, 0xae857b40, 0xc38b5a9f, 0xc2936558, 0x975dca41,
+    0x04262181, 0x46e983c6, 0x30020b28, 0x208f846f, 0x5d458afd, 0x452332a1, 0xc4102a22, 0xb54274e2,
+    0xff2b2492, 0xd3a2c738, 0x62ef9da4, 0x6055e7c1, 0xf3ad0535, 0xf844bada, 0xd799ed73, 0xc9e6ebe7,
+    0xd6e25839, 0xbe1f8a87, 0x8a043fea, 0xe7d7942a, 0x6e517ab6, 0x9a0a74be, 0x1f2748a5, 0x9acd1070,
+    0x1ca92a9a, 0xf4476116, 0x5c5c055c, 0x5222cc46, 0xcdf44c3a, 0x48fdcb3b, 0x6e024cad, 0x7a75ee86,
+    0x8981b422, 0xac5eed3a, 0x39a05c5d, 0x33f3f632, 0x5c2e74b4, 0xcf9266a6, 0x7a7a7d72, 0xab1c6aec,
+    0x404cf62a, 0x72e8147b, 0xae48bf78, 0x9242b557, 0x2bdbf959, 0x86b8b6a4, 0x7c737933, 0x5ac7cbfa,
+    0xd25278a2, 0x078f4a43, 0x47bd8800, 0x296be64b, 0x589ee6bf, 0xeb792107, 0x052d63b7, 0x92f10597,
+    0x25fd48d3, 0x8fd4e4f9, 0xb0e4083d, 0x3103b124, 0x370f806b, 0xdbd5f9d8, 0xb9b168c3, 0x77e886c8,
+    0x2048e2fc, 0x1c1cef65, 0x9cebc7b7, 0xc7909962, 0x9c9f9570, 0x879ac7ee, 0xe8db330d, 0x2cd31759,
+    0x90e4cd01, 0x8294a115, 0xbffd4150, 0xeabd005d, 0x9f84dabf, 0x2a0c3f99, 0x835b35ac, 0xc2417e6b,
+    0x52677d07, 0xbdf1b8ab, 0xf11b7d66, 0xae736091, 0x27189f45, 0xd466ad45, 0x1d8a05ce, 0x6ace644a,
+    0x500356d7, 0x86ba1a7d, 0xc4164fc0, 0x3b968e1d, 0x020ec5f0, 0x1f6befd1, 0xfaf333f1, 0x1664043f,
+    0x01865deb, 0xa3fc7cb2, 0x3c21f9e8, 0xe4065975, 0xda55415f, 0x8b1ad5b4, 0xea50a2f1, 0x2467a020,
+    0xa8311373, 0x237db4bc, 0x1094da00, 0xb32e7550, 0xe0e39c6a, 0xbaec8b99, 0xd51f30eb, 0xe99766dc,
+    0x38408fad, 0x12bed2de, 0xc940b768, 0x49874055, 0x076607db, 0xf222ed09, 0x4e4fc2cb, 0x98e76efe,
+    0xe230493f, 0x79888722, 0xc4b911f7, 0xdcc36f70, 0x16074404, 0x9937c527, 0x12e0c398, 0xf9ef1958,
+    0x40d782d7, 0x71cee8ca, 0x7865510f, 0x359a3700, 0xe19b9926, 0xfcfe1185, 0x5c0fb4aa, 0x49c0bfd4,
+    0x346ea897, 0x4fc3c9ed, 0x82024a71, 0xee4a38ec, 0x6ce98e12, 0x309e2065, 0x5cddbb49, 0xb813a7a8,
+    0x0e6e91c4, 0x3a7416ac, 0x0b005952, 0x93b80001, 0x116238b5, 0xd818fa73, 0xed8696a1, 0x365275cf,
+    0xf144c222, 0x80286395, 0x6f08399c, 0x6c721ac5, 0x3b8fa6c4, 0xf0402aff, 0x945fb80d, 0x73018c05,
+    0x87cb4575, 0x05aca897, 0xd34bbe76, 0x75e8755e, 0xed6334b3, 0xd914df34, 0x638f1731, 0x1106cb14,
+    0x42c2c8ba, 0xed26699a, 0x295822a1, 0x9c8863cb, 0x4800d36d, 0xb92dec9f, 0xfc8c85fb, 0x86547b8e,
+    0xa72e7758, 0x6e1534b6, 0xe47e2b78, 0x3432ceb3, 0xab596705, 0x091cf8ba, 0x3a15fa9b, 0x66c53538,
+    0xa53d1d2b, 0x5577b3f4, 0x5c66a7ea, 0x85d5be68, 0x5d4758af, 0x64291d7e, 0xf9e159f3, 0x445d59c2,
+    0x6db93f1e, 0xe7d5659b, 0xb5dd62df, 0xafbbde48, 0xfeda36fa, 0xfe9a6abb, 0x78a8d038, 0x311d7573,
+    0xc566bbfb, 0x014538e1, 0x1a414050, 0xcf414b91, 0x559d88f5, 0x7e45e8eb, 0x743c0121, 0x53f41dbc,
+    0xa7ebcf67, 0x51824eb3, 0x754468f9, 0xf41adc26, 0xe29b550c, 0xd33880be, 0x8015952c, 0x95ac1a94,
+    0x08498219, 0xb5a72d89, 0x5b5f88b7, 0x70cf2b70, 0x6453ae14, 0x020e34e7, 0x7685d4e1, 0xd4dc3150,
+    0xb60b0ec6, 0xd8ffb661, 0x38c8802c, 0xf7be43dd, 0xf9c89bf2, 0xd467d0b8, 0x25062b73, 0x0f2f0bd5,
+    0x20452c04, 0xdc153e6c, 0x1a9c7804, 0xdd9db8b5, 0x1420f08f, 0x122490b1, 0x56928451, 0xd1dfb9a1,
+    0xfc8307a8, 0xbaa0ee02, 0xafff9f86, 0x5ed0fe8d, 0x48205792, 0x80d36e1b, 0xaf3c71e7, 0xbf1dd091,
+    0x7c729061, 0x08ff8af7, 0xccebcc50, 0xbc2e0f59, 0xe8413426, 0x416d0485, 0x8b2f331e, 0xabce88a3,
+    0x25c31a28, 0x2e7a786a, 0xf611809d, 0x911d4109, 0x04e0ded6, 0xe920859b, 0x22ab2052, 0x60326458,
+    0x599870ab, 0x874de13f, 0xb231c0c3, 0x5c6042d0, 0x1415cac2, 0xa17fae34, 0x84c05f52, 0xbd94fa9c,
+    0x0ad0950c, 0x747ccd29, 0x05e5ff1d, 0x1ba6f252, 0xb06b4aae, 0xdfbd8f98, 0x3c0d77ac, 0xac12a8dc,
+    0x88a73a9a, 0x232ade3d, 0xd99e9491, 0x530a94d8, 0x7fba7b33, 0x81eb5bdd, 0xa6008593, 0x443dd549,
+    0x4394c82b, 0x59b50e30, 0x5d9af05b, 0x8d3010bc, 0x57473ad8, 0x14c0a7e5, 0x62cda19a, 0x2fd7b797,
+    0x9d4f7f30, 0x9962990f, 0x12c15d69, 0xfe7d2d7a, 0x9048066b, 0x23d32a13, 0x49996660, 0xed54a9a7,
+    0xfcf16a4e, 0xc1ce7266, 0xc6372770, 0x2c994b9a, 0xe0021b98, 0x5c3fe10d, 0x14df3be4, 0x51d2ca47,
+    0x87dab112, 0x2d19106c, 0xf67cd665, 0x2c97ed8a, 0x352a86d1, 0xb547f8a1, 0x71adf94a, 0x69c4b637,
+    0x9f78db8b, 0xed189e38, 0x4071b1e5, 0x47e0bcd3, 0xa1f33af5, 0xd11c4576, 0xa50267ad, 0x3808b94e,
+    0x3382c996, 0xa60c94f8, 0x6e30c857, 0x2b409ba3, 0x00ab8b80, 0x964d8fc1, 0x8339db2a, 0xf980fd43,
+    0x80a64ade, 0xc279b872, 0x1e7b4a3a, 0x42fc6b6a, 0x26d6412c, 0xee077412, 0xda8294e5, 0xc17b5941,
+    0x8bb4c342, 0x5fe42f2b, 0x995ba46b, 0xbd8f105e, 0xb46365b0, 0xb1c6b069, 0xc5aae972, 0xe05862a5,
+    0x00758301, 0x90fa585a, 0x39e4d5a6, 0x81138380, 0x6d3b19b2, 0x9d26365a, 0xdd8a9126, 0xd7d2daca,
+    0x8f44d6bb, 0xa014c929, 0xf195d7c4, 0x7cbbed7c, 0x5b8272cc, 0x7667d40b, 0xca8da66a, 0xb7e801c2,
+    0xdabeb152, 0xb6384de4, 0xd04a46cc, 0xbc7da946, 0xafce710d, 0x89e8393c, 0x52145ba3, 0x126614bc,
+    0x4fd73c08, 0x8c6849c8, 0x7ff49401, 0x53540109, 0x9a57c1dd, 0x1bf83a15, 0xe5065206, 0xa8d2dfb7,
+    0xb6ebacd0, 0xf0465813, 0x93e2eaaf, 0xc78e6f2f, 0xefa40760, 0x8aa13241, 0x0bcffa6f, 0x0012ac48,
+    0xe8b927b2, 0x8aba0ace, 0x68ba8250, 0xe3af5b41, 0xe8ea39b1, 0xe274fea7, 0x67be6d4a, 0xf1372671,
+    0x36b1c453, 0x745b166e, 0x6de292c4, 0x4cf934be, 0x3be0ecbb, 0x9343430b, 0x7526d804, 0x5951c614,
+    0xdb44c26c, 0xbfd93171, 0x1996e16a, 0x573acdff, 0x2fec56f0, 0xfea19fcc, 0x7163b60a, 0x00bf5728,
+    0x4452961b, 0xc66b424d, 0x93dba9f5, 0x72dade56, 0xb6c04aeb, 0x1b9f4946, 0x50681924, 0x3b73325e,
+    0xff2fe416, 0xe20e9037, 0xd17496cc, 0x04de5aa5, 0x081d8e0c, 0xd1b9c0c3, 0x0d1e46bc, 0xb39d1674,
+    0x33e91ef8, 0xda52562d, 0x2adaa538, 0x56845038, 0xc826e9a8, 0x3b2657f2, 0x50f8ef02, 0xe3d27bd6,
+    0x4683c162, 0x37e83b8b, 0x70f88b80, 0x9e06ebe6, 0xdb2f46fa, 0x0b7b0041, 0xbf4d18b8, 0x44feab80,
+    0x692c3e54, 0x4c449513, 0xccca338c, 0x9755bc34, 0xe09f8bb6, 0x61db79b5, 0x13505b62, 0x8c72491e,
+    0xe5945d92, 0x39acfd0d, 0xf6e2faf6, 0x00a39959, 0xf4d96f1d, 0x968c6f4a, 0x05396277, 0xcb4a8161,
+    0xb9f9911d, 0x0f307f7b, 0x37c4e06f, 0xeea52bfa, 0xabea3b02, 0xa8a8ca8b, 0x7efec87a, 0xc0ebb32a,
+    0x0b5e5e76, 0x5b0c9520, 0x00bc83cb, 0x1da89d06, 0xb3ec5d78, 0x40841916, 0x290e7042, 0xb4103f46,
+    0x58c7db1f, 0xd77aa18e, 0x9c09d83c, 0xaed18cbd, 0x118beda6, 0xaf0c31ed, 0x10c1effb, 0x415d4465,
+    0x3a8dd3d2, 0x8f75ec68, 0x6493ac3a, 0x24535abb, 0xacfdf07b, 0x69281e21, 0x31c61b9a, 0x7d2bd4bb,
+    0x5a2d1758, 0x09184f3f, 0x805d4542, 0x0d9e2827, 0x6b7ea0af, 0x8739234d, 0x6409405c, 0x5a350906,
+    0xf0a00ff2, 0x38996861, 0x57d4a0b4, 0x198ef875, 0x5509af83, 0xed48a7b8, 0x3839d73b, 0xf3990693,
+    0xb862c267, 0x4969cdc9, 0x3784fb30, 0xb23de33f, 0x136ac335, 0x7d3aa5ba, 0xf536af25, 0x80635477,
+    0x23f24928, 0x5393c0e3, 0xda2ca1b1, 0x8875c25c, 0xf2d422cf, 0x7e7f8790, 0x0b6f99c0, 0xd38ae437,
+    0x7ebbb799, 0x787d49dd, 0xee7c2c43, 0x5c067eb1, 0x2378e917, 0x3f16d33e, 0x70a0d619, 0xb58eab82,
+    0xa93be0f2, 0xc0c72aa2, 0xf883318b, 0xa3710821, 0x5d5b3fe9, 0xeab99367, 0x88c7c5b9, 0xaea35658,
+    0x931b3be8, 0xc4761629, 0xa38491dc, 0x22cc7f79, 0xfe60e356, 0x595437f1, 0xaa380161, 0x85da1fae,
+    0x1dcdfa66, 0xd1f6ede1, 0x4fa3929d, 0x8e575a38, 0xe13558d3, 0x4d857447, 0x51397642, 0x92a043b1,
+    0x720a8784, 0xcf331054, 0xf3f28f97, 0xa593788c, 0x60f9600c, 0x5c257e36, 0x62f63e8d, 0x8e521c5d,
+    0xb54980d8, 0x65fa883f, 0xf2509d3f, 0x7e4329ff, 0x224016f8, 0xeb63c0bd, 0x5b6554f1, 0x8deeb74e,
+    0x23640bd2, 0x64a4dbd8, 0xb215b6d3, 0xd8a266eb, 0x3af2fede, 0x65eafd33, 0x1bcfc014, 0xfe1c48e7,
+    0x76031b18, 0x5860af6f, 0xe5a58c7e, 0xe75c7c67, 0xa6792e3e, 0x661064aa, 0xf97787f8, 0xe7db2f70,
+    0x00000000,
+    0x19723a7f, 0x95b2c3da, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000002305843009213693952 */
+  { 0x00000000,
+    0x2557b4d8, 0x736bddee, 0xf3faf2cb, 0x07cca113, 0xdd7db18b, 0x4a54d8ec, 0x03bd75f8, 0x18166b01,
+    0x946b2b77, 0x26f6c335, 0xbd612af0, 0x1a69d9c1, 0xac20ee50, 0xdd474764, 0xd838a15f, 0xacef7e60,
+    0xd981ae7d, 0x941a2a5d, 0x8fab1c43, 0x4d1a7c27, 0xac9e235a, 0x0bf26691, 0x06167383, 0x93cf7657,
+    0x6147e573, 0xaaf9d1ea, 0xc8690fa4, 0x24fa2ad2, 0x0e042571, 0x87d9f024, 0xcc3f4bb5, 0xfe987dc5,
+    0xb0cc5e56, 0xb708e899, 0x8186ace4, 0xdbc7bd66, 0x33ef31b8, 0x725d5570, 0x72688d4b, 0xb03292cb,
+    0xeb16a874, 0x0a834217, 0x1bdcd681, 0x9aeaf509, 0xe71c9e9a, 0xbf3c7c7e, 0x23545fd0, 0x2c4a77d3,
+    0x2f2e4c1a, 0x98c0f75b, 0x8e66fe58, 0xed2630b0, 0x6bb09df1, 0xd58c1949, 0xc7c1b990, 0xba643cda,
+    0x34b31a40, 0x6581d00a, 0x2c6d0687, 0xfa18bc62, 0xdd6e0a9f, 0x35a27c2a, 0x507a8e27, 0xd2596078,
+    0x2638f299, 0x9d11f900, 0x8950540d, 0x344d1764, 0x204d08d0, 0x1dec6e0d, 0xac791a44, 0xaee88802,
+    0x74ee3c65, 0xe0379a1c, 0x503c116e, 0x83018411, 0x841b37e5, 0x24ac9299, 0x6ac347c7, 0x5e4086c0,
+    0x57e5f75b, 0x6a6a3782, 0x57059617, 0xa127e091, 0x79308dcb, 0x5a69edb4, 0x5f5e96a5, 0x3290d42e,
+    0x4254111e, 0xf058544a, 0x2c520e21, 0x79542c05, 0x8422136a, 0xc1ba72fa, 0xad252584, 0xbc1f2be0,
+    0x4918ad7b, 0x724c0a59, 0x2b9c6429, 0x33b80d13, 0xbcbf651d, 0x5cc44137, 0x298eef7f, 0x0b6e9572,
+    0x4c166259, 0x87653478, 0x37edc10b, 0x58f15a31, 0x395ebeda, 0xcb743659, 0xa738b736, 0x8f802321,
+    0x4a749823, 0x8ee81060, 0x649ed387, 0x026fef4a, 0x0a72e07d, 0x59112098, 0x3d837ec8, 0x40b581d1,
+    0x1a5fd63d, 0x55a8776f, 0x45d5d417, 0x02b9242a, 0x0347b04a, 0xc7241c6e, 0xdcefbdae, 0x7710dcc9,
+    0xef1ed3ce, 0xdb1f1477, 0x2d4d1b34, 0x86f93b90, 0x9e274316, 0x4665f6ce, 0x6ccecf53, 0x5ddfdf5a,
+    0x27a936e5, 0xddcbbfd7, 0x61f382a1, 0x7b0291e2, 0xf7427d13, 0x29e8c2a6, 0x7214a08f, 0x7e189b28,
+    0xc86b17fc, 0x122a7274, 0xd9205749, 0x60827468, 0x97f21640, 0xae8415ae, 0xb43272be, 0xd2cc7ac5,
+    0xf852b7d9, 0x34c8385d, 0x23135b05, 0xcb9c1ef3, 0x81d4d73a, 0x0816ead0, 0x12c74998, 0xa623a358,
+    0xb1db3e92, 0xbecc75c3, 0x8eed244e, 0xef006939, 0x28cbd09e, 0x1032f603, 0x07109edd, 0x4624d562,
+    0x4c188a2e, 0x59eba127, 0xe27936a8, 0x407799d2, 0xa8d0c336, 0x76fa8969, 0x37e27f2a, 0x58ba5115,
+    0x25b8e275, 0x3b2c7435, 0x398d4299, 0x91c8307c, 0xc43a2d03, 0xb25d5f1d, 0xf19abb3b, 0xd0ed066a,
+    0x76005ddb, 0xc9846562, 0x9a38c13b, 0x63fd7b08, 0x5f32c92c, 0xb1d18d05, 0x30cfe789, 0xe2aec6fe,
+    0xf6a728d9, 0xfd8467e1, 0x7b7735c3, 0xf4cae192, 0x14cc4e08, 0x6e0ae3d8, 0x60c247b6, 0xe3053e5b,
+    0x553870ad, 0x7447df56, 0x4739b76e, 0xdac3a53a, 0xc2ecefe2, 0xf3fb1738, 0x843a1213, 0xa4318f0a,
+    0x8778f015, 0x3dbc49f5, 0xac45f193, 0x004c1416, 0x9032e94d, 0x60650ae0, 0x9e246e58, 0x97256875,
+    0x219924ea, 0xeb046b40, 0x7cd6c538, 0x77892131, 0xa10d27e6, 0x41c06e9b, 0x15f62fbc, 0xfff595e9,
+    0x272cfa08, 0x4048b2e0, 0x61b603fa, 0xa945f40f, 0xdf2f091d, 0x85e70862, 0xc4a968c9, 0x0674baac,
+    0xc9e05288, 0xb882ba7e, 0xacb61373, 0x126b92bb, 0xf1ddc0fb, 0xef7b7e74, 0x73fd3600, 0x17dede24,
+    0xf34e1d57, 0x00ff5854, 0xd1c32db0, 0xe7626d14, 0xa4f0c7a0, 0x67654e62, 0x8ca08c7d, 0xb7b54762,
+    0x8192fb58, 0x8be135cb, 0xc8e99dba, 0x4f29c318, 0x14e54ac1, 0xdcb5949a, 0x34d084f6, 0xf8e4ae07,
+    0x76b491ac, 0xcc59d9d5, 0x350300b8, 0xb2ad0cf9, 0x7f170a98, 0x6bccb596, 0x4da75a28, 0xbb819d13,
+    0x080d6b44, 0xb6376a74, 0x26660902, 0x9f4f6a0d, 0x1647336d, 0x55d4cefd, 0x30df99f9, 0x47d7aafb,
+    0x8277e79b, 0x3e78f36d, 0xd1010700, 0xfc7c5f9c, 0x54dcd1fd, 0x2f0636e6, 0x779aa2d8, 0xba85e0bb,
+    0x51617fb1, 0x5aeccd7e, 0xdf73e107, 0x06a164e1, 0x38c34c13, 0x02cc8508, 0x798b0a6e, 0x49a16fb3,
+    0xdbed9e00, 0x27ef4de0, 0x1c0a9a17, 0xe0a3eede, 0xa39fee1d, 0xff72780c, 0xa4ffffb3, 0x5b0b11dc,
+    0xbd2ededf, 0x34548441, 0xa43ce938, 0x9ba0a58f, 0x3f37b7a6, 0x4b0447b1, 0x666b9a6f, 0x9a497234,
+    0xc8201eb5, 0x66387287, 0xe09ede90, 0xcccf0b95, 0xf48db3c9, 0xa0ad0f64, 0x1b6ef9e4, 0x1705644d,
+    0xe9688722, 0x8222c2d9, 0x8de81e16, 0x81c57197, 0xd1d117ea, 0x8f00f312, 0x0ef9a1ff, 0x85205d05,
+    0x58312d97, 0x4faeda83, 0x00b9b178, 0x26727df8, 0x5a8d8619, 0xd2d7b365, 0x31485127, 0x0c724f7b,
+    0xd170caa3, 0xe7162e87, 0x7d2f8e35, 0xd0223e14, 0x56bf91fc, 0x2afcb6c8, 0x46cad3ff, 0x90cad485,
+    0xe10b5ad8, 0xa0e5d3ac, 0x4fdc1bdf, 0x240f551b, 0x5fa108cf, 0x279c3024, 0xeaa58614, 0x221e028f,
+    0x1e3c073a, 0xe604cc1c, 0x5a106256, 0xc8b215f9, 0x96819077, 0x8046e061, 0x7a7953c2, 0x45a17e8b,
+    0x0e87f76b, 0x62faa432, 0xa5c383e2, 0x1ffdca23, 0x4842e118, 0xda518465, 0x582d930c, 0x3d48ec9c,
+    0xb921e019, 0xa2920c41, 0x5f5e1a75, 0xbfea7141, 0x7f77fcc4, 0x531ca826, 0xfc10099e, 0x94bda622,
+    0x9d5972f5, 0x0c46ae78, 0xe4797229, 0x44e2fb6f, 0x8625202e, 0x53a6c3a4, 0xe869eb22, 0x4f9e72e4,
+    0x240d3b68, 0x693b0f96, 0x584981d4, 0x0722d69f, 0x1ea243d4, 0xd5753b1b, 0xc5027597, 0x8c6c25bd,
+    0xb5406dd8, 0xba0e0fe3, 0xc52c870a, 0x78df7ebe, 0xc1235ebc, 0xdb0eb5f1, 0x9b86f8df, 0xf03734fb,
+    0xe032d0db, 0x162dece7, 0xbdbd922b, 0xbcf32c22, 0xe6a92a98, 0xbd90af96, 0xb8b3716c, 0x61082dba,
+    0xf088b437, 0x1fc1b82e, 0x876e2841, 0x338ae264, 0x6be1cb59, 0xd0b63da9, 0x3d1ab8c5, 0x00a5835a,
+    0x9590d641, 0x8dbb7ca8, 0xb451c9dc, 0x6ebe1faa, 0xb5d66a1c, 0x96582cfe, 0x965c8e93, 0x2ad81e0a,
+    0x77727ae6, 0xdec02b8b, 0xd84be517, 0x17dc2b6d, 0xde955baf, 0xa41ae331, 0xbd978322, 0x1d01006e,
+    0xb7f1c08f, 0x28ed8d35, 0x35acfcaa, 0xe6e46db7, 0x729a60e7, 0x7a32b24f, 0x5f2fc0e0, 0x8cfb2189,
+    0x9b0ac1d8, 0xb084ef1f, 0x5df4823b, 0x52c6aad5, 0x2c9fa732, 0xceffea79, 0x70d0539f, 0x70787697,
+    0x83f57a78, 0xf6a31a34, 0x0a012b33, 0x6cd2e849, 0x43281c72, 0x9ab0161f, 0x0c451af7, 0xcdb31b97,
+    0x96cb71b9, 0x8a1956a2, 0xe7293890, 0x27a5da5a, 0x675e1556, 0x96ea4b66, 0x9158af03, 0x487582d0,
+    0x9df02d50, 0xa982ff97, 0x6d726dac, 0x2f790ad6, 0xa8cf98df, 0xe41b96b9, 0x2d14d987, 0x116e21ea,
+    0x9c9a4f7f, 0x5618f41e, 0xa25dce52, 0x11c0ec87, 0xd5d828ec, 0x384dfad1, 0xe4cc4e6b, 0xc81ce7b3,
+    0x6d4570da, 0x7adf4a94, 0xc9df7971, 0xe7e795c8, 0x2620a0ae, 0xd1302985, 0xbfc54d60, 0xc317480f,
+    0x9752b5dc, 0xabb982b8, 0x299cfe3a, 0x8fa33014, 0xe0719070, 0x405e8643, 0x299ee85e, 0xfcab1f1c,
+    0x958f97dd, 0x4c0738c0, 0xcef73674, 0xfbb871fa, 0x81c0b924, 0x97ea479c, 0x09513ac5, 0x0d9d4420,
+    0x3e2f2a31, 0xc2da8b15, 0x5b3a37d9, 0xe5e444b5, 0x856595cd, 0xfce1ca54, 0xe1fa45af, 0xbd99af48,
+    0x04d6306b, 0x9cff411a, 0x967b3102, 0xfa728a58, 0xbb6aaccf, 0x11ce002a, 0xd46ccd59, 0x7d7a4374,
+    0xfb7b4432, 0xa742d3a7, 0xd8aa061c, 0x8c335b6b, 0xee14c003, 0x10e73f94, 0x6f6f4bc0, 0x0cca2518,
+    0xd0b7b5fd, 0xa105321e, 0xe7518457, 0x43c2fe76, 0xb2868de5, 0x004d209a, 0xdd053161, 0x35f0cafb,
+    0xb8dcebed, 0x13c9a714, 0x6d119bed, 0xb093bc34, 0x6359a879, 0xf620bd20, 0xd8b33080, 0xa8685b8b,
+    0xd9363705, 0x7ad635c2, 0xa0c3229f, 0x70e1e498, 0x105ce79a, 0xe0212473, 0xa97986c6, 0xa0236237,
+    0xde56fec9, 0xec4d3a2a, 0x001504b9, 0x43a3bfdf, 0x9b6e54b9, 0x914c4a39, 0x403cbbcc, 0xe8b9ee4f,
+    0x640f1660, 0x61adaa41, 0x4c371e70, 0x60f86b95, 0x0b5ed208, 0x37189746, 0xd96710ad, 0xea0dd852,
+    0x75e2d332, 0xb596d3c9, 0x5cc3e2f1, 0x8c95b7bc, 0x48bc6af5, 0xde6b46e5, 0x1cd37735, 0x8b250239,
+    0x03fa8c45, 0x287e7817, 0xe1ae4552, 0x14e4a2ad, 0x7dbf29f7, 0x04dc6b9b, 0x498c3df3, 0x88b2f579,
+    0x4255145c, 0xcebca070, 0x1d584977, 0xbdd99afb, 0xd20bf44c, 0x103ebfce, 0x18afd0fc, 0xb735e0d6,
+    0x28ec940a, 0xeb57ac28, 0xe0d2cbc6, 0xc1e04fe4, 0xc5ca037a, 0x1d2eaea4, 0x8717ae5a, 0xad9c655f,
+    0x5b1db187, 0x91e3aab1, 0xbb439ffe, 0x5aa6dd0b, 0xce229f41, 0x13b9dc60, 0x1e3d8bbe, 0x9e310ae8,
+    0x1c6be944, 0x4001441a, 0xacc97efb, 0x1f84d825, 0xd781edf4, 0x2907da36, 0x44744a72, 0x14912248,
+    0x84050393, 0xb4563bbb, 0x71f2d0cf, 0x7d0cbb8d, 0x6de0bfaa, 0x2e5a7cd4, 0x3782bf72, 0xb896822d,
+    0xf6154fbe, 0x78821ad6, 0x7c0960d7, 0x38f725ad, 0x7991e5bd, 0x1fb8113c, 0xea7595e2, 0x5d8c7343,
+    0xd57bca6f, 0xa62dce91, 0x19c15fd1, 0xd199f6c2, 0x3f8555d4, 0x22554812, 0xf52ae5e6, 0x8472b77c,
+    0x96c35252, 0x1c6cea9a, 0xad30b942, 0xfdd20880, 0x302bb3a6, 0x3b15459d, 0xcec78a39, 0x86f23790,
+    0x1e6a6f09, 0x987f3944, 0xc26aae06, 0x2014d7af, 0x7a2b8309, 0x020208ac, 0xc8fcfeb0, 0xf6304b8f,
+    0x08ea7904, 0x90e7a4ac, 0xee4cbe03, 0xea95c93f, 0xa83fd623, 0x0a31c427, 0xf52bed85, 0x94692ef1,
+    0x9ad299cc, 0xde79b9e8, 0x0c8fc445, 0xc46739b0, 0x199ab46a, 0x1b4a6186, 0x5985eb41, 0x7a0e2824,
+    0xcd34c1bc, 0xb415a442, 0x05d78d11, 0x2786cbb8, 0xee11bb8d, 0x8e707341, 0xa5e2d8d9, 0x845def01,
+    0xf18c67cc, 0x32466e14, 0xfb80d0cb, 0xad914a09, 0xe28bf02a, 0xa8667871, 0x66d47b82, 0x73af3818,
+    0xf4c9bef4, 0xd036400e, 0xb5dc1914, 0x8ba32c8e, 0xcbe9b8dd, 0xdc4f3844, 0xe9c4b89d, 0xbcedfea1,
+    0xbc19094e, 0x4e29a61a, 0x39a2a8c6, 0x38543649, 0x66dd786a, 0x9f7cd4f4, 0xf26036a1, 0xab9353fa,
+    0xcdfdbc03, 0x8b0bf31a, 0x03e3bba8, 0x075afcb4, 0x92e09b9a, 0xe965305c, 0xf7b6024b, 0xd18a26e3,
+    0x08aee7ba, 0xe0957521, 0x5e0257fa, 0x1c2f2f04, 0xfbe6cc6e, 0x19d40fd4, 0x80b2af3b, 0xcc7b6ed2,
+    0x0a3351c2, 0xb0d9baaa, 0x76df45a4, 0x77584195, 0xe3aed22d, 0xdcc800da, 0x1f348684, 0x36975ae6,
+    0x0a4f90e7, 0xc709255e, 0x8d893724, 0x88ea2d91, 0xfda1c886, 0x91186ca6, 0x275c9bbb, 0xa1f955b2,
+    0x72c2e324, 0x8fe1ebf1, 0x24f1f340, 0x5584183e, 0x63166220, 0x84d30407, 0x95fef59a, 0x6e7f25ac,
+    0x1fd19a5b, 0x722fe87a, 0x8207841e, 0xa38a7ef5, 0x5b1f46f4, 0x61f08424, 0xbc7b61f4, 0x067f5534,
+    0xfb299b53, 0x82d9d667, 0x225eeafe, 0x840b6606, 0x4392d3db, 0x260b98a0, 0xcee9896e, 0x106f9abd,
+    0x133f4e19, 0xc8aa941f, 0x098d521a, 0x2e57568c, 0x1cacaa26, 0x3112e3eb, 0x76381d68, 0x382239fb,
+    0x7421d14a, 0xfaea8227, 0x68932589, 0x38196923, 0xb810fe79, 0x0d6d17b4, 0x586a731c, 0xf24393ee,
+    0x97c81bd6, 0xf0042075, 0x78c2bd4f, 0x482c4a3a, 0x7cd21a59, 0x7f62a055, 0x13e3fc64, 0xada04698,
+    0x4d1ae660, 0xaa45c381, 0x04626329, 0x0f09eacb, 0x9d2a97db, 0xedf19352, 0x01687c93, 0xdee00a36,
+    0x73a8db93, 0x1e7ef415, 0xf0c66ffd, 0x227058eb, 0xce92f47f, 0xd4cb50f6, 0xdaa3049e, 0x2a951372,
+    0xd0610a54, 0xf057a9c0, 0xdfe5ac4f, 0x916d38e5, 0xfd0d63ab, 0x5aa7cefd, 0x37587cde, 0xc22e8ff2,
+    0x64d88753, 0x16078260, 0x5baa5eae, 0x90f7396f, 0x0cbf3589, 0x17cf4912, 0x61d97aa8, 0x9e6e2a69,
+    0x3764b789, 0x63e4a8de, 0xf8c6da49, 0x3fc1f7cf, 0x4770e663, 0x2f398fd2, 0xca4d7793, 0x46075e39,
+    0xd2c37195, 0xbb845fc2, 0x52f8d24f, 0x7cd71e38, 0x6a25743a, 0x70610c9c, 0xc7377fc5, 0x98c5dfeb,
+    0xf8a47a4e, 0x25b4092a, 0xf60624a3, 0xfb1a175e, 0x37c947c7, 0xd28d4d31, 0xfd701a6f, 0x791ac496,
+    0x6077b38d, 0x18854672, 0xdd5d9bfa, 0x04ca0807, 0xaf0fd13d, 0x05ad0844, 0xf785f6f4, 0xd15b23f7,
+    0xd4c9955f, 0x3d968768, 0x5517b1f9, 0xfd5d3c4c, 0x63776a69, 0x74173c5f, 0xe9e26c2a, 0x39dc2176,
+    0xde58b101, 0x65b5ee94, 0x320eb93f, 0x75fe94a6, 0x55221bd3, 0xb110c2d8, 0x5668d897, 0x98468763,
+    0xaf34728c, 0x751f3817, 0xf650d3a1, 0xed777adf, 0xc43bb5c3, 0xace7cb95, 0x45b5d075, 0x06b471f9,
+    0xad16316d, 0x316d8550, 0x7b29a3c2, 0x32658551, 0xbeeef7ae, 0x7bed9cbd, 0xa3805852, 0x680c83a4,
+    0x5ce18666, 0x8e56896e, 0xa0540b81, 0x3381cb0a, 0x398268fc, 0xfb35e1ca, 0x82068963, 0xb87f3bcb,
+    0xd8190674, 0xc3f4bd82, 0xae3dc395, 0x0d525664, 0x39c8e536, 0x78756911, 0x4c97ba61, 0x9103c9ee,
+    0x155c4e32, 0x29edaddf, 0x4996460f, 0x6198f7bf, 0x6195a3f5, 0x08f86ba2, 0x8ad67a79, 0xaae49035,
+    0x1f904754, 0xb1d69b3a, 0xc65ab982, 0xc72b3358, 0x8717ed7e, 0x30c63e8f, 0xa6d2cc3b, 0xb006a046,
+    0x871873e1, 0x98b5d491, 0xec9cf6ff, 0x5c992ca2, 0xc1affbe3, 0x25ac07fb, 0x15421346, 0x3c28e6e5,
+    0x0d0ded89, 0x14e24cbd, 0xc0a15d0c, 0x7721ccae, 0x034e57ec, 0x91b55a9a, 0xef1337cd, 0x1fc2fc46,
+    0x13ec1572, 0xda9683c7, 0xc34f2f1f, 0x73dcd07f, 0x98f17959, 0x46493cad, 0x5d56f11a, 0xcd21f76d,
+    0xdfece32b, 0x5ab4a876, 0x5603c412, 0x4c684d9b, 0x1b4e4543, 0xcba0caf1, 0x93e16dfa, 0x8c5a3e18,
+    0x135860c8, 0x4034416e, 0x993a7871, 0xfbcf978f, 0xbbc2df5d, 0xbf835b09, 0xf99a6e69, 0xdc8f16f1,
+    0x069accd9, 0x777791a1, 0xf6ad053b, 0xaa2fedc3, 0x945e580f, 0x4c4ede55, 0x5e8acd5a, 0x6e48a7c5,
+    0xd4ad113d, 0x4dbd2f18, 0x81cc6427, 0x6757efcb, 0x90955d2c, 0x62b07285, 0x97e91bb6, 0xbb9ca64f,
+    0x2e30967c, 0x43897c78, 0x9ac1027f, 0x663512d5, 0xeaba2cc8, 0x821b83d7, 0xfd064826, 0xb67be89a,
+    0xa027a5f1, 0x7a4165ed, 0xde83a74d, 0xe608f5a2, 0xf3abe716, 0x30410b53, 0x44253736, 0x93123ddc,
+    0xaf7141cc, 0xdf3f455a, 0xb23e9d34, 0xcac0a2f1, 0xb8493667, 0xc3730cf2, 0x9b45d1d3, 0xba4cdcc5,
+    0xfa0ef9db, 0x868d2308, 0x0129e223, 0x014a3929, 0x6a9882c4, 0x20f946b4, 0x1026bbd9, 0xff0b4bf7,
+    0xd6081f1b, 0xa8a27b95, 0xf7e8bce4, 0x321aeef2, 0x05cf7e2f, 0x429b53a0, 0x1479a07e, 0x92719434,
+    0x481f8177, 0xc8bd56e6, 0x2ba9f2f1, 0xbb0ca1ba, 0x5b505dd8, 0x804d71a2, 0xe9426fc3, 0xac459868,
+    0x00000000,
+    0x0cb91d3f, 0xcad961ed, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000001152921504606846976 */
+  { 0x00000000,
+    0x0ffcf6b3, 0xc1a51285, 0x96aa21ef, 0x1904156c, 0xa88e66ad, 0x88bbcc6c, 0x85fed18a, 0x3ce0679b,
+    0xeab11d28, 0x7c775c56, 0x87e28339, 0x44e38dcb, 0x3ebd3121, 0xe548b0ba, 0x9910c77a, 0x0aa78ff3,
+    0x9be1b401, 0x5d7d8d0f, 0x5453b191, 0x1250d893, 0xc2cd4c6e, 0x5ce8084b, 0xda5c4a64, 0xf926e152,
+    0x81eab48d, 0x1c073ce9, 0x0da6ed13, 0x2ce65e58, 0x8a44185e, 0x599af8f9, 0x391775e5, 0x8216a2d7,
+    0x8e2f3d02, 0x9f30fd5d, 0x5e0c8ac6, 0xf14e5558, 0xdc50ffff, 0x964b52af, 0xd15a9972, 0x766c13ce,
+    0xf60ffa83, 0xe0c16759, 0x0eb0d498, 0x55b690a9, 0x6e708214, 0x5e6a0650, 0xa52bb993, 0x8924d53f,
+    0x55f364dc, 0x83afe399, 0x4ff729a7, 0x638f284d, 0x39db5e3b, 0x279697e8, 0x83dfa854, 0xcc179f66,
+    0xe9d697cc, 0x7855e211, 0x4bd790df, 0xe4a0449f, 0xf50db234, 0xc90c7462, 0x0294f594, 0x760c763f,
+    0xf3a25e86, 0x87b69119, 0xf6ee4466, 0xdccb12ff, 0xf89979a7, 0xf0844b81, 0xc40ee015, 0x183f5e0d,
+    0x30583037, 0x974babad, 0x71af950a, 0xfbd1d0fc, 0xc6e5774f, 0x7e8ba192, 0x1c59f511, 0x069fd909,
+    0xaf92c729, 0x831ca05b, 0xe54f998b, 0xc133fe06, 0x9b7d94b7, 0x338a83e6, 0xa1a81b5d, 0xb068d7c6,
+    0x2c909a11, 0xab9cf7ee, 0x6268aedf, 0x9fc3671b, 0x08adfdd7, 0xcb48c774, 0x9e0297de, 0x4d71940f,
+    0x1227da5d, 0xef18c833, 0xdc85d1d1, 0x140ab1e5, 0x19b9b8d6, 0xe8cc9e77, 0x4c55b74e, 0x91765a4b,
+    0x4ee11f9e, 0x8a04c001, 0x6d100c53, 0xfe30155e, 0x7c33aa6e, 0x5aa2fe99, 0xae067acd, 0xd0735288,
+    0xb66d5eb6, 0x20502e50, 0xc7d76a8d, 0x3494534c, 0x25d49eff, 0xbc110893, 0x5f8538d4, 0x1c9b3ba3,
+    0xeaeee72b, 0x5922b9d9, 0x8fb4c6db, 0xa5172ac8, 0xa766ca04, 0xab23875f, 0x1a1c9657, 0xc8ee9a9d,
+    0x91080bf6, 0x8c810749, 0xf28a9bd4, 0xbc7ca222, 0x0c068f36, 0xf4209675, 0xfe993dca, 0xd347c98d,
+    0xbec645d1, 0x11864fa0, 0xf971c3f3, 0xffd83eb4, 0x33cff80b, 0x9497b211, 0x56188817, 0xb40bacd4,
+    0xbc7f8da7, 0xd3f30cc6, 0x176814ac, 0xd6b10ae0, 0xb53ab456, 0x3b41894e, 0x848c121a, 0xa9810c22,
+    0x8f462d6c, 0x9c22e58e, 0x8b095d29, 0x14c133aa, 0x360183fc, 0x294ee315, 0x4b239278, 0x76b0ea19,
+    0xe6962298, 0x8cc4d302, 0x684a8d4b, 0x2119a013, 0xecffd561, 0xf2f5da75, 0x34dd0ff4, 0xa0f88121,
+    0x8753dacf, 0x6257d889, 0xb04c17f4, 0xf421fee4, 0x14d8351f, 0x8ae29b27, 0x3324697f, 0x8ae27469,
+    0xcdc2f322, 0x445e2e90, 0x76aa6308, 0x403e71a8, 0xda5861e7, 0xaf59fd52, 0x0cbe532b, 0x638962d4,
+    0x518a7fa1, 0x3db6866e, 0x21df1c70, 0x2c7e8b1c, 0xd576e14b, 0x856920f8, 0x8c645dd2, 0x8e33f118,
+    0xd5f1984e, 0x714213d1, 0x39294641, 0x392b3185, 0x68d98ef6, 0xddabab98, 0x1d43e86a, 0x1906b277,
+    0x07351068, 0x7d08aaca, 0xba634af5, 0xff93eb2e, 0x53dd417b, 0x8e443232, 0x64a748a7, 0xc38d147a,
+    0xa628f434, 0x56e06e34, 0x6060bbd5, 0x80b9eb48, 0xe494424c, 0x1e6faf3f, 0xbbc63032, 0xf14a06b8,
+    0x345e6bd5, 0x963ce763, 0xe765dd9c, 0xcc40b480, 0xab13a2d7, 0xc04e0952, 0x0e5ab72e, 0x272afdaf,
+    0x00633bf3, 0x277dd5a0, 0x11e1c561, 0x394cd331, 0x7dcfd4a7, 0x9f2634ae, 0x967f67e8, 0x14925f20,
+    0xe80ee275, 0x5a85c823, 0x84439f7e, 0x894f88b3, 0xd478b391, 0x2bf02323, 0xb594806f, 0xb261c8d6,
+    0x9c2a3924, 0xda45b653, 0xef6022e9, 0xdf2f1eac, 0x62885b1b, 0x46c90063, 0x43736a29, 0xcbe01291,
+    0x12222436, 0x824e9600, 0x5a0bb850, 0x6263b804, 0x63528b47, 0x183f2de9, 0x77fc97bd, 0x005281a1,
+    0x83970595, 0x4deea2a6, 0x8444d690, 0x7f414a34, 0x3ea4afdc, 0x71839a83, 0xe889b7c5, 0x4f0ec865,
+    0x9ab4cdcc, 0x1afdd6e9, 0x3817740c, 0xb47f8d93, 0x9143be25, 0xda2b9714, 0x85d1023b, 0x822c91a3,
+    0x1302cbbf, 0xfbc03b83, 0x46e8cc87, 0xf7e3f3da, 0x2fd5dd6e, 0x9184d827, 0x987027d2, 0x53bffd85,
+    0x5a9172ed, 0x8d13daa4, 0xa179d6f9, 0x8f8d3d70, 0x39979c5c, 0xce9a342b, 0xb9581142, 0x4295ed96,
+    0x01e01183, 0xf97ab53f, 0x60cee7b5, 0x44693254, 0xf6438918, 0xf6e40bdf, 0xf84ead1f, 0x6427fa8a,
+    0x21c5ea4c, 0x287d0d8d, 0x128c6b1d, 0x6c84e01e, 0x1978725d, 0x4ff6877e, 0x5f3a0424, 0x06ad5842,
+    0x704e5464, 0xf8773db4, 0x51a71c48, 0xe54264e0, 0x1647aa82, 0xd187aa1a, 0xc359cdc3, 0x948ff00b,
+    0xe045b584, 0xe691c870, 0xc217fdde, 0xdbbe732a, 0xd3a96f1a, 0x93836418, 0x2f37bc41, 0xaddf906a,
+    0x2ead7bdb, 0x6941fa2c, 0x87d25af3, 0xcd1f4804, 0x73ac4cf8, 0x9a85b254, 0x4281483a, 0x5ec1446f,
+    0xcfca04da, 0x5f1419a9, 0xe866f0fa, 0x4e7d4292, 0x44e847f7, 0xc7fb4331, 0x0a1c1299, 0xfb5fb2b1,
+    0xe36bd619, 0x6e02cfd2, 0x5fdbd6e0, 0xc2236651, 0xd4ae4c20, 0x11533eb5, 0xb3f6ee6e, 0xbda3b7de,
+    0x761de89c, 0xa093c698, 0x9f27ff7d, 0x58240e91, 0x2dd16bd9, 0x76d3e36a, 0x758aa9cb, 0x673b2618,
+    0xb76261ce, 0xc1221598, 0x51aa03bb, 0xad398866, 0xea5e48f2, 0xcc7adbcb, 0x93d6c11f, 0x87314065,
+    0x89cf2765, 0x853651ee, 0x52de9117, 0xaf637589, 0x29d420dc, 0x76e1cf33, 0x3bbc5c1c, 0xae68e2fc,
+    0xbec3b5f5, 0xf1f5464b, 0xbd20b98c, 0x933d42ac, 0x65a15379, 0x6b69eee4, 0x6a55354e, 0xc1e1f089,
+    0xcb080e6d, 0x73041dfa, 0x8ef289d2, 0x02b5d1d4, 0xb6ee063c, 0x55864d26, 0xeea17add, 0x911bd134,
+    0xed067329, 0x8d349d64, 0x6536a4ca, 0xb20a1877, 0xe3b58b9b, 0x861054d1, 0xd48dd563, 0x331382f2,
+    0x9c6b5415, 0x3da39710, 0xa9927f91, 0x17aee4c8, 0x6528bd69, 0x41a8384f, 0x56507d3d, 0xf509d913,
+    0x9177e796, 0xdade8fdd, 0x185c7372, 0x496a2e71, 0xfc6a0b07, 0xf3ad8ed5, 0x2a1e6707, 0xa4ecafbe,
+    0x9d58e59d, 0xc90960bd, 0x72d01e95, 0x06b1b4e2, 0xee61b004, 0xf4d8a18b, 0x4175c57c, 0x64cff201,
+    0xa43dfbfa, 0x3b4c9085, 0xf29a240e, 0xa2aa5662, 0x775fbf72, 0xf3a63f16, 0x3ff28e24, 0xe0aa277a,
+    0x244a8f6d, 0xc7238164, 0xd18a3988, 0x1ceb177f, 0xfb75780c, 0x4687852d, 0x5ad1a252, 0x92731391,
+    0xaaca12a0, 0x6ff694fa, 0xe902ac2b, 0xaecd6933, 0xb110d1ea, 0xf50a9dbb, 0x31994ffb, 0x6263faba,
+    0xe72fa9a1, 0x1541cfb7, 0xe09efac9, 0xec1827fb, 0xd22461bf, 0x46e8a78b, 0xbc6a38c6, 0x12030dfa,
+    0xaef291f8, 0xbdd5228e, 0xcf9344a8, 0xd588f864, 0xc5297293, 0xe1b98674, 0x272e7c4b, 0x1e9604ee,
+    0x66e63e4f, 0xa588c545, 0xabcfb6db, 0x226d0f57, 0x078e63ea, 0x9d99067a, 0xcd7a74fa, 0xad6e85cc,
+    0xbb22ed2b, 0xe01c711c, 0x36a24756, 0xd4d4b1b9, 0x8b301a6e, 0x051329db, 0x8a011d12, 0x32115bc2,
+    0x9aced1ca, 0x4f253437, 0xac0705a8, 0x01f35712, 0x36821f77, 0xcc5f90df, 0xdfac2b30, 0xcde59361,
+    0x90ce570d, 0x40c9a3fa, 0x8efa8ee4, 0x26142465, 0xfe459e80, 0xb1d9cd32, 0x183db7e6, 0x9854cf8d,
+    0x2e63986e, 0xd36db100, 0x86ff575c, 0x4ddb1230, 0xd309b89f, 0x06c219c9, 0x91be5a91, 0x6048d317,
+    0x9fd48c02, 0xa8d21b88, 0x7c6d59e7, 0x27569d2f, 0x7eac82bd, 0xbf4e8b30, 0xc6822f26, 0xc2ede0b3,
+    0xf49836ce, 0xe1a8ab92, 0xe012bf7d, 0xa11727b2, 0x5469a386, 0xe941d60f, 0x99fef2f5, 0xdc7d57c1,
+    0x234eb419, 0xd8e7d981, 0x0ce58039, 0x0db00ae0, 0xb8eb6412, 0x0d28031a, 0xa178e365, 0x614f47d8,
+    0x2548d3dc, 0xf7eae48e, 0xf86c38fe, 0x92b8537e, 0xd72fa4cb, 0xe4c7b907, 0xf24878e0, 0x9014e92d,
+    0x01b546b8, 0x44234b2b, 0x1ede8044, 0x2c0f66b9, 0xe06c18a1, 0x44fcbffc, 0xe39486b2, 0xea60aa20,
+    0x56fcf3df, 0x186b0c47, 0x2c495828, 0x054aab63, 0x5c086c22, 0xa8325665, 0x0d928173, 0xfde5c050,
+    0x69496685, 0xcb7e7b0f, 0x880feb5e, 0x552bd5a1, 0x7fd43acc, 0x50a0eff8, 0xa7d69e71, 0x6800315b,
+    0xbcd07e84, 0x251b7d79, 0xdf055ecc, 0x7eef0aaf, 0x3e2ce672, 0xcbf4cc88, 0x7066dbfd, 0x33c4d0ff,
+    0xc9971ee2, 0xab9b4b22, 0x06e8e95d, 0xc6453a43, 0x495c7bc7, 0x345b6b1c, 0x1e00287a, 0x8e2a047d,
+    0x97c12706, 0xccd2e028, 0x1e734846, 0x55c4ce46, 0x33d8fbce, 0xba2d5726, 0x61a690ad, 0x09671e72,
+    0x99cd5b16, 0xd71b3344, 0x537d85f2, 0xf4b385db, 0xe98fe8e7, 0x104d2a79, 0x89909349, 0xc9b5a657,
+    0x01e0168f, 0xe178b1d1, 0x9a758867, 0xc2706fee, 0x94aafc33, 0x39ee9488, 0x7f345d40, 0xa7b4ea10,
+    0x7ee049f2, 0x44cef1ff, 0xaeaa3aec, 0x5a2cdf34, 0xe481f9a0, 0x3781fb7e, 0x468c46b8, 0x596801ae,
+    0x8924de36, 0x3e0b04a9, 0x93975464, 0x7b60590b, 0xcea45a13, 0xba63c957, 0x70ca2667, 0x85e61703,
+    0xbe97ac42, 0xce7a14a3, 0x6d5715f2, 0x3fee0e81, 0x19f2c66b, 0xa8f9aaba, 0x9a155314, 0x9c6ac634,
+    0x26bb6a9a, 0x3c1363c9, 0x1c145587, 0xe9c155c2, 0xe304279f, 0x064f8b45, 0xf55065ca, 0xd589327c,
+    0x5da6b603, 0xebf4f00d, 0x80475cf1, 0xf4e95d3f, 0x4277d897, 0xdc43ccd2, 0x70d0669e, 0x6a4684f6,
+    0x5c6b1c21, 0x7d93d052, 0x8f8d6a88, 0x77584c11, 0xa76af19a, 0x9686882d, 0x2f7595be, 0xa631f82b,
+    0xd680d275, 0xfa95aaef, 0x0f238ca2, 0x4a2d9dda, 0x03456b55, 0xa4c9d206, 0xaea32181, 0x4862d871,
+    0x9eb69c92, 0x0bf0989d, 0x838f78e1, 0xdbc7bc75, 0xb69fd278, 0x4d2b9a03, 0x4a0d2190, 0x4a6e8e04,
+    0x1ea2dd50, 0xc7a079f3, 0x71c60958, 0x3c40bcaa, 0x71d77b29, 0x25e27289, 0xcb9233de, 0x744c7966,
+    0xd5cb8888, 0x3bf990fe, 0x18661eef, 0xbf1e8428, 0xa7c96668, 0xaa37c695, 0x59a1fd13, 0xdf655c57,
+    0x146c6956, 0x0ac9aa78, 0xe48c7271, 0x733fa359, 0xe1e1736a, 0x0519f022, 0x31157aac, 0x8782f6b6,
+    0x77dacfcd, 0x60debd57, 0xefe1b8d7, 0x26726cb6, 0xa7aba454, 0x61d709ce, 0x1b176569, 0x1f2ce91c,
+    0xa8e405d3, 0x6ae50a52, 0x394c97ce, 0xe96ad36b, 0x8235a936, 0x52ecfdc0, 0xa0ebef3a, 0xeb4f982e,
+    0x68c8e1e1, 0xac2338ea, 0x8c524517, 0x9fdaa69d, 0xe7e62de6, 0x23bf3e3c, 0x4b59c4ef, 0xddc58a0a,
+    0x98df8c8f, 0xb64794c5, 0xca0e1354, 0xd43d2e06, 0x1979f1e3, 0xf6ba4d70, 0x5ee49c53, 0x1f313c3c,
+    0x82b83b67, 0xe2b128ff, 0xe954ed2d, 0x0ceacdf3, 0x514ec6e6, 0xe7ce8a28, 0xd81f129b, 0xbddc15df,
+    0x6c66a61f, 0x588142a2, 0x48ea9785, 0xafb02c20, 0x7f7ab463, 0xfd199c8f, 0xeea6b40e, 0x2fcf7844,
+    0xfbef951e, 0x03ca1316, 0x427fa71a, 0xbd51919b, 0xd8dc12f8, 0xa952bf69, 0x1891a4f8, 0x97d77cca,
+    0xd8187b52, 0xcacc6ea1, 0x174ca02d, 0x871fe72b, 0x23c00eaa, 0xa576db79, 0x97cf66de, 0x3a2a5b1c,
+    0xa36280ce, 0xaee4ae88, 0x57e25c1f, 0x4cdd6b7a, 0xe9beeb56, 0xb9d64913, 0x4dc1a742, 0xce4fee73,
+    0x5f7e1aea, 0x7e49230d, 0x7d5d1491, 0xafeef040, 0x606185a6, 0x8b67b6eb, 0x8c6919ec, 0xc5e203cd,
+    0x26344ed7, 0xea646dc5, 0x880fc7d0, 0xf0a35761, 0x8b3f670f, 0x067016fc, 0x3dff2ae6, 0x75c8fe70,
+    0xf691e5d1, 0x5b80bc3c, 0xd62e9f48, 0xab12b3d4, 0x349a84f1, 0x076da7da, 0xbcfb7fac, 0x16a90d67,
+    0x5f48bc1d, 0xad98ff4f, 0x55dd4cef, 0xd803efa2, 0x42f83aaa, 0x1973324f, 0xf709d704, 0x61315073,
+    0xeba176c6, 0xb70ac723, 0x302b64b2, 0x8d3d2c02, 0x41f3b55a, 0xc078f9e8, 0xd4e4b94f, 0x63ef5837,
+    0xcc86300c, 0xa98d7e62, 0xb498b135, 0xae724c32, 0xe7767e0e, 0x9f20a738, 0x6f92b25a, 0x76d56ee8,
+    0xb61db4bb, 0x8fa373c8, 0xc102a6a1, 0x50423d50, 0x130ab24c, 0x0d345062, 0xe6255e99, 0xff843f7e,
+    0xe496698f, 0xc8b3c504, 0x7097c034, 0x97037bae, 0x2d6905ee, 0x1da646ae, 0x4bbae88c, 0x6a5528cf,
+    0x77dd1ea2, 0x55fd1a87, 0x9d8359ab, 0xd1d6bfee, 0xfd115040, 0x555bbf92, 0x9e31cdfd, 0x4f3e342b,
+    0x27de2560, 0x4ba9ebfe, 0x937aa142, 0x6e01b79a, 0x40b25c2e, 0x455c340c, 0x480d8807, 0x1a23751c,
+    0xc47a85f6, 0xfcdca1b2, 0x10c00789, 0x81136533, 0x5770d587, 0x23d5b1eb, 0xc9543ca1, 0x98be00dc,
+    0x7c9f81ed, 0x5a7e02d0, 0x5980307d, 0x45d95e59, 0xfe6a8b7f, 0x94d6fb4d, 0xe415971c, 0xf68bff5b,
+    0xa03e0a8b, 0x2570f441, 0xc554cae9, 0x031c8e2f, 0x62648f6f, 0x95321eb5, 0x2c5a4d61, 0x08e24eb6,
+    0x4d486979, 0x707b32f2, 0x9c2db9a7, 0xf5a1e50c, 0x2932dff5, 0xedf9d72c, 0x2c48a66a, 0x07ad74d4,
+    0xa5705370, 0xbefa2cc2, 0xf539257a, 0x902c3894, 0x6a72d38d, 0xa7afe656, 0x5e28981d, 0xec69830a,
+    0x0341b350, 0x38404bb5, 0xaaf82884, 0xf3ee595a, 0x1139cfcd, 0x75aa4f6c, 0x1c3db281, 0xb9081fe3,
+    0x384eb361, 0xbc0aaeaa, 0x58f1cf9b, 0x9881fd08, 0x12c1ca53, 0xfeef8b37, 0x67acd720, 0x1c14c8d6,
+    0x66ba5907, 0x119392d1, 0xfb986f67, 0xf21d35d1, 0xaab1e588, 0x49fde8b0, 0x6f73997c, 0x9732d0ba,
+    0x744010f2, 0x39e39483, 0x7e2f4cb3, 0x16f23db6, 0x7a8a609c, 0xe211d3b9, 0x1b2d6926, 0x9a036ae2,
+    0x51a3d0ad, 0x5d7e55b2, 0xd8540f76, 0x1e114a07, 0x513e5647, 0xb0ec252d, 0x05ee163a, 0xcb7dabf7,
+    0xf9bef8a2, 0x1fd685e2, 0x08e0b772, 0x20143f63, 0xb9ed138b, 0x9d914208, 0xd7f895f0, 0x54c8a972,
+    0xe42916e4, 0x8068f42d, 0x05535773, 0x84d9bdbe, 0x73abc18f, 0x7885fe55, 0xcbbe49d5, 0x2fe05a1e,
+    0xaa184586, 0x2955f16e, 0x78ad3661, 0xe290f141, 0xd34819cc, 0xbcc4a0dc, 0x84d312d9, 0x61f997e3,
+    0x2b4734ee, 0xf5850776, 0xf503336c, 0xb3a349aa, 0x03d4ef78, 0x0b14cebd, 0x544d89c0, 0x159fba00,
+    0x8ca3a2ec, 0xa0634fe0, 0x7087802c, 0x956fdf61, 0x0a30ba68, 0x7cf42147, 0xa0ce6276, 0x4ea385b1,
+    0xed82f05f, 0xc1f14501, 0xd8055444, 0x4ccd7c19, 0xa20cabcb, 0x52de83a3, 0xa71f9dd6, 0x9861a178,
+    0xe37db596, 0x3455dc60, 0x57aa4578, 0x78682a59, 0x14d1cbfb, 0xeae75248, 0x0833076b, 0x9f10b33a,
+    0xbfd830aa, 0xbaf21e0a, 0x612acb3b, 0x8a0e6eb3, 0x3d03187d, 0x1d01bd97, 0x0b233e69, 0xa5f18a84,
+    0xda0646a3, 0x8672237e, 0xa47b5a87, 0x7da7c99b, 0xbdb920ce, 0x4067c57f, 0x885ae760, 0x1e02da79,
+    0x93217dbb, 0xf99418b1, 0x45c7166f, 0x93837290, 0x81edc687, 0xef29a68b, 0x981ddb61, 0x4d1ca6f1,
+    0xa16d97b1, 0x45d2cfc0, 0xfd528a85, 0xf3f6af51, 0xa44ec3ce, 0x3b373256, 0x4558435a, 0xa842135a,
+    0x12869af3, 0x0e7fbec6, 0xfa5dbd11, 0x035e59fb, 0xa78cbed8, 0x28023ad2, 0x5e55424e, 0x947ebf86,
+    0x00000000,
+    0x865c8e9f, 0xe56cb0f6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000576460752303423488 */
+  { 0x00000000,
+    0x5a18ac38, 0xf3df5225, 0x2f5e2f13, 0xaa2325d3, 0xa464dad0, 0x62e51d96, 0xb68bd3ce, 0x51d1378d,
+    0xf05a4e85, 0x6c30cf02, 0x9d57b422, 0x72f9a6f7, 0x3b0b0f07, 0xebe5db63, 0x080a0825, 0x878fc57e,
+    0xfdc00f89, 0x2311c6d1, 0x040c64f4, 0xda4dff8c, 0x72f02a71, 0x23abe6b4, 0xf9282f9c, 0x6af79448,
+    0xda8d6f62, 0x4d08d061, 0xe5f01bfd, 0x3934e877, 0x0ebdd0e5, 0xe380a434, 0x5daeaaf0, 0xfc59ee8f,
+    0x90dcad57, 0x42030214, 0x486b547d, 0x477596f9, 0xbb2cc1d1, 0xd982ac65, 0x0f253e18, 0xc4fad8bd,
+    0x758b9d90, 0x788790e0, 0xbfbb42e1, 0xa4b618ff, 0xd82505dd, 0x72004443, 0xbd2e402e, 0xf6f3e31f,
+    0xf814318b, 0xb415c413, 0x80b776b1, 0x8d7c9824, 0x0cfc7cd1, 0x82f32ab0, 0x94a413bb, 0x23039816,
+    0xbc8325b8, 0xf35ddc7b, 0xbd11109e, 0x62b1123a, 0xc9b966c5, 0xb705a9d9, 0xbe10c488, 0x3b4b1a24,
+    0xf9501cfe, 0x0eba9168, 0x3eab38f6, 0x8a5849fd, 0x04b52f3a, 0x325ef331, 0xc9fe567c, 0xa341eb57,
+    0xc0e833fe, 0xe6bdc53b, 0x49e3df16, 0x85c9f795, 0x633cb65f, 0x93b7cce0, 0xa9c40c6c, 0x82a6bb76,
+    0x06cd3936, 0x03fab036, 0x0b5082ae, 0xa55dd28f, 0x642c1aaf, 0x47572683, 0xfdfb01cd, 0x55198b4c,
+    0xe1459e0e, 0xab60a5bf, 0x9bb45635, 0x3635053e, 0x4c4eba37, 0x5d1a653c, 0xd51a0df7, 0x0096ba90,
+    0xba379428, 0xc4de21ac, 0x776bef05, 0x354806a3, 0x7350967d, 0x9f40bee1, 0xd46a9121, 0xfc152f88,
+    0xc2b4cec8, 0x9eb93f31, 0xe7b856d6, 0xe3353617, 0x26a6e39b, 0x2482df6a, 0x22d3eab6, 0xb635249b,
+    0x3d76b371, 0x169fd764, 0x3c815c87, 0x3176bdc0, 0x5ff6c45e, 0x02814f69, 0x812ddac6, 0x307323af,
+    0xa883d393, 0xc831ef00, 0x6938f5a7, 0x91178cf7, 0xf80e4d4e, 0xc13567c3, 0xcd44c324, 0x5b4ced00,
+    0x5d24b8e9, 0xace07c8f, 0x623c1523, 0x5969ca85, 0x3cef4d05, 0x536f6350, 0xc1438443, 0x27c2456f,
+    0xbb297c9a, 0xa2a8fcaf, 0x5f9747cd, 0xa233ba8d, 0x86aebb7a, 0xfd2b5969, 0x6eba64df, 0xb7c354ed,
+    0xe606d627, 0xbe665c2c, 0x1a05a0fc, 0x65bbcda0, 0x26e1d74f, 0xef66d3ac, 0xd9b5b74a, 0x96056393,
+    0x86b0a5cb, 0x354207ac, 0x603dba9f, 0x68bbaa87, 0x424aef94, 0x22572c4c, 0xa2bbd488, 0x30cd3ca6,
+    0x1c8a297c, 0xbc3d10cc, 0x56b48450, 0x421c25df, 0x87594c80, 0x4d36b886, 0xcdbc8849, 0xe585bbb8,
+    0x726e3452, 0x4b12af96, 0x79760607, 0x20b7fea5, 0x03b57d4a, 0x578b78bb, 0xca59afa6, 0xad415fe0,
+    0xf7c56f28, 0x8bfe9b7d, 0x2862e644, 0x3d8de32d, 0x16f34eb9, 0x3e1bcc64, 0x4f6d9dc9, 0xeb758c40,
+    0xd680a961, 0x11257100, 0xfa2c9b01, 0x8dbe450d, 0x36241957, 0x762ab4be, 0x45a0ce11, 0x85512e38,
+    0x46f61e38, 0x6e5e1f15, 0x6bcece9e, 0x1a81451e, 0xac894ae6, 0xa82dd9de, 0x57d487db, 0xeef8ca89,
+    0x84ce10e2, 0xb6f901bd, 0xcb2bf593, 0x549a9687, 0xe9d34d8b, 0x5f97e4f9, 0x72afa898, 0xe2675a3d,
+    0x7a3c649d, 0x9f8b21dd, 0x2b650b3a, 0xd5659b22, 0x87741fa4, 0x63d90da9, 0xfd6da6c2, 0x1f04ecfb,
+    0x4925a3c5, 0x838a2cef, 0x56b42e39, 0x77d28ec7, 0x151bcc3d, 0x09bdc787, 0x6c7ce186, 0x0f91325a,
+    0x85b8207a, 0x9a9930c0, 0x877de61a, 0xf9206255, 0x4a332f29, 0x10e47219, 0x14557588, 0x53246424,
+    0x0ee1e503, 0xde2ff453, 0xb280da91, 0x2546850e, 0x765af3c2, 0x6222bae0, 0x589add4c, 0x33e1d9ac,
+    0x1cff8682, 0xaa8b92d0, 0xe7133393, 0x40dbe780, 0x4d44fdc8, 0x8ceeb42e, 0x4595dc1b, 0x692d41a8,
+    0x66f519de, 0x6c374a2e, 0x89f6563c, 0x52d0b1a4, 0xf75f8bee, 0xfe2f78ec, 0x2201544e, 0xfdca667d,
+    0x084c08a4, 0xd7ef3fd1, 0xfd6c5e13, 0x613021ee, 0xe2357603, 0x1b0d75a1, 0x5292e12d, 0x73572ded,
+    0x9af06ead, 0xfee24c9a, 0x2e587acb, 0x23fe6e75, 0x353d9088, 0xb7a3e825, 0x7a2ff780, 0xc433a551,
+    0x94baa9da, 0x0058d79c, 0x9771142b, 0x7d991eb9, 0x5f68fd2e, 0x6a5d98fa, 0x491322a0, 0x0ee19ef6,
+    0xf43743de, 0xe63b0ff0, 0x0bd46085, 0x7f065a05, 0xcb729b60, 0x793c0522, 0x4a6bcf84, 0xbeba94dd,
+    0x1c2c4c73, 0xea8462eb, 0x42747b0a, 0xb8a82c85, 0x7dab250e, 0x7302f0ea, 0xdcb630e2, 0x5518a256,
+    0xcea074a5, 0xce7dc498, 0x583328be, 0x68452ee2, 0xf8e0df84, 0xe0346f26, 0xa6701641, 0x96069010,
+    0x44605f81, 0x60e962a8, 0xcfe32a14, 0x11f8089f, 0xdaef925b, 0x4116e5b8, 0xcd1b1fa4, 0x8070c674,
+    0xf4777e1f, 0x6e78ad0c, 0x21b1ac46, 0xb9c7af96, 0x651ecc4d, 0x6050db4f, 0xc8360751, 0x9878c51a,
+    0x2467fc52, 0xcfe3ea12, 0xc7f57bdd, 0x6fcdb04d, 0xd1a23fc3, 0x3d583865, 0x574d459e, 0x6ba5684c,
+    0xe1f68511, 0x6343b8ab, 0x4acd268d, 0xe79715e5, 0x175cc170, 0x84e0c5ef, 0xff4a3429, 0x9522e46f,
+    0x8c0df3df, 0x1d598f50, 0x1ec5f3a7, 0x247c4b4d, 0x38e96704, 0x24f78f40, 0x86f621f8, 0x07e02d5b,
+    0x0fafab34, 0xc316429b, 0xd95931d8, 0x68651f1f, 0xe164f641, 0xb76751f5, 0x2e5fcb44, 0x3c07649e,
+    0x288faf49, 0xfeefa03d, 0xdaca55bf, 0x145cd5da, 0xe0a7e331, 0x97c54a1c, 0xe7eb0bf7, 0x107d6365,
+    0x58a465ca, 0x05fb8779, 0xbbe8739f, 0x3d35b2c1, 0xe7fd4a0a, 0x003a6ca2, 0x94eb45b3, 0xb808d3f6,
+    0xb1f0192f, 0x387ef5cd, 0xc16d75cd, 0x2cfce81f, 0x11e29c01, 0x05a40013, 0x58eebfb7, 0xd84b739f,
+    0x33db0a4e, 0x16c2233e, 0x709aecda, 0xe7fe7d49, 0x4a6c2136, 0xdfe024fe, 0x285a2d85, 0x3735692d,
+    0xd4228fe3, 0xf417b296, 0x103651a7, 0xd3fd7578, 0x38bc47b2, 0x7cd2fc63, 0x24ab4acc, 0x7977c7c0,
+    0x0d66afa9, 0xa0fd1a5b, 0x984bcc14, 0xf9e63e19, 0xcba696e3, 0x4e5abd8e, 0xbaaf403c, 0xdea27be1,
+    0xc695150f, 0x74306fbc, 0x176f1e3e, 0x117e4c6f, 0x96e47bee, 0xd2cf3443, 0x1cff6472, 0x0b400543,
+    0xe10055b1, 0xcd0b398e, 0xcedcb32c, 0x1f19a27e, 0xe0efca25, 0xc2f66b6b, 0xf9b9ce55, 0x5fe8490a,
+    0x1d94df8d, 0x0f6d0981, 0xf947c742, 0xa677d66d, 0xce39a6a4, 0x55ed1138, 0x457c042b, 0xdb67a425,
+    0x5dbcc55b, 0xd5aece69, 0x24878211, 0x79fa0274, 0x2660ba48, 0x9c09e643, 0xff2c431c, 0x3383746a,
+    0x0d6bc156, 0x66045f16, 0x05cefc0a, 0x1cbd50fe, 0x9b40225c, 0x907a4396, 0x374d1624, 0xcf0cd474,
+    0x691ca70f, 0x2327ea7f, 0x3038e1fb, 0x78eb0407, 0xac8f4dd7, 0x8cade3f3, 0xd61ee6c9, 0x2d1bb51d,
+    0x7534a486, 0x6d4be96b, 0x9f16b0d4, 0xcb3716b8, 0xd56a8a00, 0x6c246e7d, 0x1eae792a, 0xd82c15a6,
+    0xfd3530dc, 0x549b972c, 0xba66e9a4, 0x5e92d02b, 0x8e4ea0c6, 0xf73f2b5a, 0x486cad95, 0xfc05ec50,
+    0xaab117c4, 0x0ecefc18, 0x4cb719c7, 0xc0870e71, 0x5033b444, 0x59a8e4cc, 0x1b28830d, 0xf1fc9b53,
+    0x8481fff1, 0x41a2196a, 0xfef6f340, 0x538fba49, 0x77c5ad5c, 0x077f7b0f, 0x5fb94ba7, 0xfb7c3465,
+    0xc7cd4e19, 0xcf8e87b8, 0x9d8df6e3, 0xd2038af2, 0xe8b18a88, 0x68733b11, 0x7f7fc4e6, 0xc9efb855,
+    0x30ac758c, 0xb41c023c, 0x9b4ed8fb, 0x3fdb6e86, 0xb1e1d50d, 0x411910ee, 0xffe86685, 0xbe3b9d4d,
+    0x3c9db9d6, 0xd53d601b, 0x60053563, 0xded4bf3a, 0xe0ecbe3b, 0xda16b8e9, 0x7035801a, 0x74429d0d,
+    0x2a9e4ce9, 0xea3a4d27, 0x53405307, 0xb77a4019, 0x797837d7, 0xdc0c1c48, 0x3ef3afad, 0x9a227a3d,
+    0x65b9b4d9, 0x2aeb3465, 0x8857bcce, 0x4eb243f2, 0xb470759a, 0x0d1e6e22, 0xb6be009d, 0x8c7f6307,
+    0x3fdc5af4, 0xd532e2cf, 0x21987c97, 0x2139ae33, 0x8ee9f127, 0x1f9effe2, 0xcac02d3d, 0xb68e1a7f,
+    0x386989e5, 0x61d3b048, 0xfffbd2a8, 0x6258ce09, 0xa7312596, 0x4e51d6fb, 0x3c7dd483, 0x4ad85aee,
+    0x29bd57a0, 0xb014fea0, 0x17ed0aad, 0x4df2ca71, 0x2479bd24, 0x55a1b535, 0xe5db44ea, 0xe2999703,
+    0x260fddf8, 0x445f9461, 0x1606d7e7, 0x6caea186, 0xcf4e1499, 0x330ccee9, 0x5df03f12, 0x8eeb58de,
+    0x67955db0, 0x2f54a5ab, 0x371b4fdb, 0xf1b943ad, 0xc8f63221, 0xef4f77fb, 0x08dcc4f7, 0xd49d906c,
+    0xf7e54328, 0x83a50dba, 0xeea094c6, 0xad4a9165, 0xe5010c84, 0xff1dfe8c, 0xf06ac0f0, 0xb4c6ef5a,
+    0x6cedf97c, 0x8a1690d4, 0xfe6b5b7d, 0x31c0af68, 0x6b33e458, 0xb577817f, 0x2c66430d, 0x62d94812,
+    0x3444d316, 0xa7124992, 0xe63833af, 0x83544126, 0xe3278d49, 0x435415ec, 0x5ffba00c, 0x54037196,
+    0x3caab8ef, 0xddde1ed3, 0xdd1531b3, 0x43aedf6a, 0xb6abd48b, 0x39c329ab, 0x46b3e763, 0x2757cad6,
+    0x6b215a8c, 0x10779870, 0x2a331430, 0x7e61031b, 0xfbced2b4, 0x5649109a, 0x7bcb857b, 0x1ff73b50,
+    0x3b4c2b2b, 0xcb63a5fc, 0x09944a2c, 0xd4c2d92d, 0xfc9f043f, 0x36235589, 0x23f552e7, 0xaa6e2951,
+    0x8562498d, 0x6c2847c9, 0xb062d868, 0x7549a6d8, 0x61e684ae, 0x0d70f8b2, 0x9950bf94, 0xc3c85729,
+    0x7522e30b, 0x5652a36c, 0x75581210, 0xa9909cca, 0xd029189a, 0xcc0ea2e0, 0xf0a9a476, 0x214ff869,
+    0x66c3060e, 0x828bcb39, 0x38c04669, 0x2982e398, 0x3734c1fc, 0x8babe4a9, 0xa2351638, 0xf2d44db3,
+    0x6c4c2d0b, 0xc160add2, 0xd60ae716, 0xb5148e68, 0x81ce7a32, 0xc6ec093c, 0xa224f617, 0x3aa3d500,
+    0xc2e42303, 0x83730ac4, 0x7552ff85, 0x754b0a7e, 0x5f523256, 0x69b6a42a, 0xa2f447f4, 0x6f429e84,
+    0xc2b5f7ed, 0x86655807, 0xf63cdd30, 0x8d216278, 0xf745989c, 0x000f902d, 0x3dc4be15, 0x7a73d6c5,
+    0x5caa5d8c, 0x3648e586, 0x5b1a7e83, 0x310d0640, 0xef0be8d5, 0x85aca80c, 0x3f805c3c, 0xfef49fbe,
+    0xf593fa74, 0xd695e4fa, 0x974a6584, 0x39ea5141, 0x0f6bdefa, 0xcef420da, 0x28900dae, 0x179b0055,
+    0x9c7d6353, 0x181bd3aa, 0x38a2b738, 0x56e44481, 0x2a4f177d, 0x58ee0ac8, 0xac4cf25e, 0x501c8c93,
+    0xfe98a22b, 0xefe9ecde, 0xc06264c2, 0x189ac38e, 0x7d08cfee, 0x4ee9e346, 0x5b288ab2, 0x3d8709b9,
+    0x7009cb78, 0x8ab2c6b1, 0x083d38ca, 0xab140df1, 0xee872d98, 0x9956e3d1, 0x266bdd47, 0x5797fba3,
+    0xfcc2383b, 0x9bc524ff, 0xd23ea9d7, 0x26b92241, 0x97b81210, 0xc30fefdd, 0xa670bbff, 0xe9041c04,
+    0xb4869fdc, 0x807c5b26, 0x44863215, 0x4807b35a, 0x76a41dfc, 0x59f8b4bd, 0x1ae4a48c, 0x208d3eaa,
+    0x696e6c6d, 0x0f4436ef, 0x8fedbe41, 0x3211c256, 0xb102321e, 0xb602946d, 0x7bb6a941, 0xcb19b51a,
+    0x5c630093, 0x8ae2d849, 0xb4cb6eef, 0x4005541e, 0x2b8ef0a8, 0xb38ea46a, 0x82c5828e, 0x38432d4e,
+    0x4461c070, 0xcfb3b02e, 0x8297614b, 0xc693546a, 0xe86274a3, 0x34e53e6e, 0xc0fb65c9, 0x7afe6537,
+    0x5147abda, 0x41dd192d, 0xd77ff56b, 0xb2e94f8c, 0x89ca653f, 0xc0f5d31b, 0x032c309a, 0x7e72228e,
+    0xa11d6cd0, 0x0857bc45, 0x123aed2a, 0xfb542e11, 0xd52d391e, 0xb6b467f0, 0xd6487b17, 0x0a4173e8,
+    0x18c9ad09, 0xd70e1af4, 0x6c0ef358, 0xa113e195, 0x888fec12, 0xd08df958, 0x2510b75d, 0xfc05801d,
+    0x2f4767d8, 0x8f07aca8, 0xb2ba68f3, 0x595515ce, 0x7dcdbf78, 0xc6b0d9d1, 0xeb5d6ae8, 0x1f615669,
+    0x37dbe4f0, 0x2a33ddaf, 0x1353961f, 0xf75dc3e7, 0xc4023534, 0x82ff59ee, 0x00d5bdc7, 0xc962209b,
+    0x704a4053, 0x4ce9c5be, 0x21a6c1be, 0x3336be5f, 0x51a32a47, 0xf6ba01cc, 0x8ea8ed7a, 0xbce938f0,
+    0x772e0a7e, 0xdf608073, 0x21289cc8, 0x79a0ba01, 0x0bb10b47, 0xe9999e00, 0xb5f0e1cd, 0xdf07247b,
+    0x4d422451, 0xffac9315, 0x904e1280, 0x3357e854, 0x9313333d, 0x91e155e2, 0xd643fa42, 0xfa3e6346,
+    0x3725d4e1, 0xdb7cd4c6, 0x4fdf7de9, 0x99983e7a, 0x6777047d, 0x4798acd4, 0xde957c8b, 0x0ed6d7a9,
+    0x8e64bf6e, 0xb64f394a, 0x20a869ed, 0xec0692bd, 0x0b0436cd, 0x03108fe3, 0x2eb37c20, 0x9ca2d6a9,
+    0xb514b1df, 0x275f1b80, 0x4297eec1, 0xd34bddd2, 0xd5bfbf14, 0x16478ab6, 0x14e0a569, 0x6b6c3a02,
+    0x7b54e83f, 0x39dc5d75, 0x8d453060, 0x44b5aeea, 0xad6388fb, 0x355e8861, 0xd482ec58, 0xf40e900f,
+    0x75f23e61, 0xe08dcd35, 0x9d073de7, 0xab581201, 0x99feb090, 0x46e332e1, 0x9502ea4c, 0xf42ce4cc,
+    0x83a839d7, 0xa0a1509a, 0xbd78cbc0, 0xd8efb963, 0x33ad356b, 0x6ac5dcfc, 0x83e0902a, 0x34d1abec,
+    0xd717ef3b, 0x20e7c1d3, 0xefabd01d, 0x3330b883, 0xd2cd8590, 0x399811e8, 0x251c412f, 0xd836a103,
+    0xc1ca9be2, 0xdbc00b97, 0x2a536e95, 0xe6fd5eee, 0x9cec2a39, 0x68f99d1d, 0xa9667119, 0x04754f3b,
+    0x14b4363a, 0x29e829ce, 0xdff11b5c, 0x0020fad3, 0xf13d51ea, 0xc41b5307, 0xbb2648cb, 0xa811dd3e,
+    0x91c482dd, 0xdc92add7, 0xcbb72e72, 0x008a64b1, 0xce20a958, 0x47b4d30a, 0x2c6b785f, 0xca3a4d1f,
+    0x08fa1b88, 0x41bf2ccf, 0x45e64f8b, 0x6f3de245, 0xb49a001f, 0x94e664c9, 0x6db9731c, 0x0aca39af,
+    0xd6bf534e, 0xa6cd1572, 0xdd81cfb8, 0xb2bc4650, 0x0285a99d, 0x3b119dde, 0xbd30fd75, 0x8f08501f,
+    0x5883ab36, 0xf2573386, 0xf829d2bd, 0x71dab428, 0xc33efa33, 0x19fe435e, 0x02d6b70b, 0xbbcb78d4,
+    0xaf569a8a, 0x3d424dba, 0xc85a7018, 0x7e4f3239, 0xef2d507c, 0x1adc0cd9, 0x4abf9526, 0xc197d5c4,
+    0x4854df94, 0x64347e29, 0xf9f1e580, 0x17814a62, 0xfec2e21d, 0xf5325042, 0xde37663b, 0x52925d56,
+    0xac757761, 0xa4bfd514, 0xa31411d6, 0x3b2db9f6, 0x2a68d370, 0x3a95413b, 0x45cc3945, 0x292e189e,
+    0x0dcc9a27, 0x4f396b43, 0x67959b7f, 0xf8eb4709, 0xa412b7a1, 0x754baa87, 0x8e338198, 0xc95891bb,
+    0xe2f775a8, 0xd3e29c02, 0x2547f368, 0x37856bc9, 0xe32221c3, 0x3eb9522b, 0xd3cf57fb, 0x638aad1d,
+    0xf5124ca4, 0xd46b733d, 0xa65d27de, 0x3c7ec5e7, 0xbaf871ce, 0xd644abc8, 0xc269d397, 0x56e57283,
+    0x87b4ce92, 0x4d0b314f, 0x121055e9, 0x31f6562f, 0x1a808184, 0x1d0856d9, 0x5843827f, 0x7b74a45c,
+    0xbf89adca, 0xd8416f99, 0xc3c8c1e6, 0x931db197, 0x6b07659e, 0xa96ffa7e, 0x30230a97, 0xdd641282,
+    0xdf3ac941, 0xdfa2bf33, 0xaec41650, 0x7bfb15d6, 0x9fd41a94, 0x4d6f66a5, 0x1e6819ee, 0x4252d1d7,
+    0xbfb05948, 0x8d3f2232, 0x65cc730a, 0xc3f7bfd9, 0x9ac07958, 0xcadea5b7, 0xca46df85, 0x933cbb11,
+    0x4707de74, 0xbd6e01ef, 0x0ddf8f62, 0x0e1ade26, 0x31da165f, 0xb08e2254, 0xc300c7aa, 0x8e1c6124,
+    0x99b8f311, 0xf5616444, 0xfea2e9a5, 0x3b6ad3b8, 0x72a04396, 0xc323dc68, 0x5f6f3037, 0xa393cc55,
+    0x873fe440, 0x6c9ae3e2, 0x80a48af2, 0x54c2b8ca, 0x5529c693, 0x87ae84e4, 0xb2310b15, 0x89de0303,
+    0x00000000,
+    0x432e474f, 0xf2b6587b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000288230376151711744 */
+  { 0x00000000,
+    0xfdf30e89, 0xc7f6ddef, 0x88bb0d7c, 0x984a88d3, 0x5271ecb5, 0xd6563266, 0x47720118, 0xc3f8125d,
+    0x93f66d23, 0xb670174c, 0xc255e25e, 0xc92911ba, 0x150f1acb, 0x571a1d59, 0x38ab7334, 0x0d7f6be0,
+    0xcac037b2, 0xcfa2fa94, 0xe95c5c23, 0x4edcb4bd, 0x0dfaa162, 0x03e01445, 0xf7238e75, 0x29395510,
+    0x66123e51, 0xc216a4b7, 0x18c88955, 0x260f86b5, 0x6baee485, 0xaf876d15, 0x5a8e0e95, 0xcca8ae1b,
+    0xaf370665, 0x686866b0, 0xc3d93de2, 0x28317122, 0xde086067, 0xfa387fa8, 0xe439d7e0, 0xc25a48ad,
+    0xdbcaad08, 0x420899d4, 0xf54eb95b, 0x1ccab278, 0x66d2500c, 0x88c4abf2, 0xfc2abe9e, 0x2e77711b,
+    0x9f123eca, 0x303673ef, 0xd0edbf84, 0xa78ebf93, 0x2943756a, 0x2ed56bca, 0xc8b78775, 0x53bedc46,
+    0xef1eefe1, 0x9cbc5788, 0x217976f5, 0x530c1462, 0xe523d280, 0x2a83d7c3, 0x35c16116, 0xcb2f9a20,
+    0x8e079ac8, 0xd84cefae, 0x920335ef, 0x82ee4f88, 0x0564850e, 0x8da54628, 0x73042dab, 0x8fa865f8,
+    0x9b4526bb, 0x9df4a35f, 0xd97fbf21, 0xdd1d6450, 0x1937a7b3, 0x3f641098, 0xd625c87c, 0xdea95ca7,
+    0x75a12c60, 0xcb1e6f37, 0xb5253683, 0xc651ef10, 0x3093846f, 0x0846e526, 0x8b2d3130, 0xb5569c6c,
+    0xf4f8bb70, 0x4714faf3, 0x92910c11, 0xe1e010ad, 0x7c79a985, 0xc21023b7, 0x92b429b9, 0x33bf951d,
+    0x3207e679, 0x3e749087, 0xeaa36f7f, 0xadd7560c, 0x79026bec, 0x464b6fb9, 0xc313caa9, 0x14ce7e98,
+    0x771959a9, 0x3bf232ab, 0x0ae9f350, 0x7a61f0c9, 0x20565bd9, 0xb794ebdb, 0x5d8ff0df, 0x9cbd7e4e,
+    0x0fdb5ede, 0x3c6d8330, 0xbb30bed4, 0x9b5ccd1b, 0x89e0aea8, 0x392b992d, 0xd78826e1, 0x610bb3fd,
+    0x515c9c72, 0x1c5941e4, 0x6ab89d24, 0xdd7409c8, 0xd79f444f, 0xf0af86d2, 0x44776993, 0xe2f5e0f0,
+    0x301c624b, 0x6b1ef796, 0x05ac1a3b, 0xbfd70b65, 0xda620a7d, 0xf5c9bcea, 0xa0ab4fca, 0x18d2d221,
+    0x2e44c347, 0x0d45d132, 0x885508f6, 0x7a5970e9, 0x83590e4d, 0x456d4874, 0x98131d2b, 0xa5053afa,
+    0xe0a2fbee, 0x3adb0c5e, 0x4aa57f56, 0x63f2a422, 0x9ee7e079, 0x995cc33c, 0x69ba0e76, 0xc1a19453,
+    0x60f7122e, 0xf3231d18, 0x559d4136, 0x8fca6e44, 0xd7f7328d, 0x5da4e457, 0xc0476ec7, 0xa389c9a0,
+    0xf140d944, 0x5d26370c, 0xae63080c, 0xcb5af707, 0x8a7430b2, 0xd908fb6d, 0xc3ea0920, 0x20439597,
+    0xc4c022b0, 0xe1ef1c26, 0x110d12cf, 0xa0b0b7dd, 0x42f8e603, 0x7206c0db, 0x45f502ad, 0x6b24b2b1,
+    0x28156482, 0xaae98694, 0xfd8e32f1, 0x435a9c00, 0xfabbb054, 0x3c5a067f, 0xfec2785b, 0x32b51aaf,
+    0x1e715ee5, 0x5b93f66a, 0x58e21eb9, 0xa8a85e12, 0xe7e4c126, 0x8634e46d, 0xc44917ae, 0x7c07ec66,
+    0x0aee4089, 0x16c5b933, 0x2483bbd6, 0xb9f77deb, 0x6f100cce, 0x22feb43f, 0x7bce2a22, 0x62d47154,
+    0x2a471b09, 0x10f13c77, 0xe963cf98, 0x80bfc23f, 0x4f4eb89a, 0x3755ec81, 0xa90338ba, 0x7835b9e7,
+    0x5cb09405, 0x73cc1ace, 0x08220db5, 0x3d8aa04f, 0xb1a9fbcf, 0x4ab89047, 0xe56e5447, 0x38417196,
+    0xe07a8612, 0xa22642df, 0x23c29108, 0x78956a43, 0x99c5f102, 0x6a2a2aa9, 0x1b701b1d, 0x00187c2f,
+    0x0d47c0be, 0x40e64fba, 0x6373f157, 0xbb71efa4, 0x930ae310, 0x20166cbe, 0xfa23a968, 0x8ca9ea29,
+    0xb8653efe, 0xafa63b33, 0x1bf85d1d, 0x61af904a, 0x2b89505c, 0x8ad6bcf1, 0xcd4485e1, 0x7aa8002d,
+    0xf8b5671c, 0x832645a8, 0x2d63a74b, 0x511e243a, 0x54453a54, 0x51923cd0, 0x5ff7fa43, 0xdf0ac993,
+    0xb28424e8, 0x9dd60ffa, 0x0845ae19, 0xfdcda29f, 0xe6aa3f18, 0xa033c453, 0xf12304f8, 0xb2f47bfb,
+    0xadac1fcf, 0x15c6b401, 0xbcf7c4fe, 0x7a12daaa, 0x99610ef4, 0x08231a73, 0x3eb617a0, 0xcc414e2d,
+    0xc3693edd, 0x7f6bf2c7, 0x3d6746b7, 0xbec93572, 0xf521db2c, 0x60821cc1, 0xfd7d62e7, 0x202d3932,
+    0x7e8f2ad8, 0x560adc13, 0x04e24e50, 0xbec8fcfa, 0x6f297428, 0x8c29cf58, 0x9314ccec, 0x05080508,
+    0xe11cb678, 0x85e08fdf, 0xaa744f1c, 0x80cf5941, 0x18c95971, 0xc79db648, 0x89fda86c, 0x258db731,
+    0x24c8901f, 0x0d4f7fd8, 0xbb70a7ba, 0xb5e42560, 0x52032f0b, 0xdef09a0e, 0xbdc72187, 0xea5f2177,
+    0xcf766fc9, 0x81ea7105, 0xf14b658a, 0x3b5213e8, 0x785f7ce5, 0xbeba3cb2, 0x27c79347, 0x2cd49d9b,
+    0xeb0c7359, 0x5eacb5ec, 0x5aa47c84, 0x648006e4, 0x850f7d1f, 0x0549514a, 0xc6f14bf5, 0x6e7f9942,
+    0xb105ae4c, 0xc6fbc20a, 0x8cd2ed1a, 0x2d42e7a0, 0x2cb84a8a, 0x7620ed4c, 0xa3274f75, 0x244d3e9a,
+    0x2ed60ab7, 0x26b04160, 0xe06780bf, 0x51e7bcd0, 0x29f3bc45, 0x78e1e071, 0x40fbcd9e, 0xcf28bd59,
+    0xbf7edf40, 0xf0070b11, 0xf84e9428, 0xd3e1c1a8, 0xb11fe1d0, 0x8bd0f3c2, 0x3c420db5, 0x8aa59a5e,
+    0xd20ec85a, 0x2c9d6b1e, 0x22d8aace, 0x16eee626, 0xf27ea83f, 0x5fcadaa4, 0x4f5443af, 0xc0513e6e,
+    0xc66da3fe, 0xf54b9d22, 0xadc5a209, 0xe9602f97, 0xce82374c, 0xb1dfcd87, 0x45181603, 0x3fa63c4d,
+    0xe5531fdc, 0x7d29f11d, 0x700f0230, 0xeead0f23, 0x12827885, 0x1ae2e608, 0xbc740ec8, 0xe132c192,
+    0xce65f6e3, 0x8d44ff40, 0x37bc1a47, 0x75c5d36e, 0x4ca57dd1, 0xa90ff7d6, 0x2812f7ec, 0x9cd999f8,
+    0x22a09cae, 0x2e40fd25, 0x788b183b, 0x9fa35959, 0x8fe7e974, 0xc818ad84, 0x8cdba542, 0x1aa0b668,
+    0xd6c530e7, 0x1a9e0f89, 0x3bb3e43d, 0xf49fc302, 0x88d8c0f2, 0xd84fcfb1, 0x243540c1, 0x7486299e,
+    0xa84c45db, 0x14896b99, 0x4501ffa8, 0x3c01c0de, 0x67c9727b, 0x333365b0, 0xbed2b4e5, 0xd65b7e21,
+    0xa2fd9643, 0x0f26257a, 0xf55df4bd, 0x813e9229, 0xf5ce2439, 0xd95c9bb8, 0x21e981c2, 0xa49288df,
+    0x02508dc0, 0x60c51515, 0xf88285a1, 0xa7beb01a, 0xbc1d5d84, 0x78a6ec98, 0x57ce762a, 0xd72312f6,
+    0x4e5e443c, 0x883003ac, 0xf50e7959, 0x91c061d2, 0x62fc76a4, 0xd60775b1, 0x08c980cf, 0x43268a35,
+    0x1663d242, 0x4c25e7f3, 0xd33cfba9, 0x4cb81974, 0x407b1c88, 0x3ce3106f, 0xfa4a925a, 0x0e18457c,
+    0xeac75cb3, 0x08d8d178, 0xc79a6651, 0xf2298fa4, 0xc13c9a01, 0x60afe5b4, 0x77823c2d, 0x311b3d98,
+    0x93daa20f, 0x848f9a4f, 0x633c5ed9, 0x33ea69a0, 0xfcafb605, 0x06b906cc, 0x1f88a8f3, 0xc5a3eb70,
+    0x42635f1a, 0x30470479, 0x24efe9c0, 0x6a980caf, 0x9bbd0261, 0x8bac8f6f, 0xeac18e7e, 0xb87de24f,
+    0x94040097, 0x0595d2da, 0x46b38b84, 0x5c69c7bf, 0xc7ead066, 0xa7bcc202, 0xc36c4083, 0x64bb93ff,
+    0x149966a0, 0x6d80f28d, 0xccdd300a, 0x87374cbc, 0xc4f8f53d, 0x1dbd2dba, 0x3b39644c, 0xd04e4a0c,
+    0x3a5f8034, 0xbce9447c, 0x52a069fc, 0x0681b2f4, 0x85ef7d92, 0x3416cd4a, 0xbeb54939, 0xe5af616b,
+    0x0089a705, 0xa0eaab51, 0xb57143a2, 0x389cdc43, 0x75673849, 0x877cbd4d, 0xa07b2db9, 0x637e401a,
+    0x142db513, 0xd37b1e07, 0x2bbfd196, 0x55b971cb, 0xa00818ad, 0x896297df, 0xcd8b103e, 0x73e30605,
+    0x3eaf57f7, 0x44d97efc, 0xf12c0c4a, 0x461ea3ec, 0x500651ba, 0xdb80ae0a, 0x27226447, 0xbf0cf35d,
+    0x1678680f, 0x2c7183ab, 0xabb782fd, 0x131d290b, 0x1ee8e435, 0xfb45d3b3, 0xec73370f, 0xe91ff23f,
+    0x5475936d, 0xd4d8e5a2, 0xd3f0f8d0, 0x96593c4e, 0xdf1eb26b, 0x6512363b, 0x59fedfa6, 0xfcc7c9ed,
+    0x80e492d1, 0x0e3a1f4a, 0x1fcbcaae, 0xc89afcf6, 0xe6dcbd5c, 0xcbe2365b, 0x94ca30ef, 0xa1e5f695,
+    0x07499507, 0x4203aa4a, 0x535bb251, 0x7d8aa063, 0x0454937f, 0x19a08143, 0xacb7df70, 0x985328da,
+    0xb0a08925, 0x11c63da8, 0x51c9672f, 0xea10353d, 0x8ca9a8df, 0xad7ea47c, 0xcdb0864e, 0xb5ae409f,
+    0x2495703e, 0x1268b3ca, 0x62d9ba6e, 0x8734d94d, 0x80593b20, 0x7cc2e85b, 0x68e04b9d, 0x26d8fed8,
+    0xcb58185f, 0xaf0523f0, 0xd7530892, 0x4b423502, 0x62b03669, 0x42eaee51, 0x2547ab30, 0x8b2dac6c,
+    0x4ee02e9c, 0x7f4b3767, 0x25334a16, 0x17e117f9, 0x87c93186, 0x11e7c979, 0x5490ca56, 0xbfb89d8a,
+    0x89a51150, 0xee82b9be, 0x079dd5d0, 0x3ed0d0a0, 0xd1626e0b, 0x24685557, 0xda538b27, 0xff2ad42a,
+    0x2c8d6ef8, 0x0d43274a, 0xd04c3135, 0xfb99042f, 0x1600bca1, 0x5231013b, 0x05a67531, 0xa1796a0c,
+    0x64355d90, 0x05d33feb, 0xac639a40, 0x3091936d, 0x1b124880, 0x82b09662, 0x7cf8da80, 0xb70e3cc5,
+    0x12e271ec, 0x76d44753, 0xafcffde0, 0x4be25758, 0xf0fdf2b9, 0xb646fa67, 0x37dfae16, 0x20d2aecf,
+    0x4f9a33d7, 0xde93c648, 0xb9363658, 0xcd59866a, 0xc604bcc2, 0x6156c725, 0xfbec7bed, 0xf298e670,
+    0xba9db3c1, 0xc5cff3c7, 0xf0028be0, 0xeabc89a1, 0xd75e5e92, 0x43e43883, 0x9d03eb54, 0xc82c9cc6,
+    0xffec73ab, 0x71ad5aa0, 0x3f70e6bf, 0xfbe062d1, 0x2de90028, 0xdb7f0579, 0x4a984cb5, 0x3424114c,
+    0x9d5113b9, 0x82313bc4, 0xf4721dd7, 0xe1127bd9, 0x29081602, 0x91a535b1, 0x86ce311d, 0xbd0b1942,
+    0x1e4f909c, 0xc6eb0a7f, 0x696ea30d, 0x2e4764b9, 0xca669148, 0xb8017227, 0x98d6c180, 0x217dd5ee,
+    0x597a00f1, 0x97dfb205, 0x588abdae, 0x3679c394, 0xe6876b85, 0x52a716a3, 0xf069803d, 0x4d13bc85,
+    0x75f281f8, 0x5d007444, 0x6a6b28cd, 0x1850e97e, 0x49cef5d4, 0xba26506d, 0x4f0457ac, 0xafb706a1,
+    0xef028c6b, 0x703b9f0b, 0x0dd746c0, 0xc36933d3, 0xa4bcd2d9, 0x36100b8e, 0x4a545678, 0x131b2c58,
+    0xe7e32ff0, 0xd3ee87b4, 0x9972cba1, 0xe4b6968b, 0xb4a1a33c, 0xddee06a8, 0xa6bef608, 0x51e6fdef,
+    0x6174aeb8, 0x919f8793, 0xaef36694, 0x492c2b28, 0x937db406, 0xa4450201, 0x51614e86, 0x8ff42637,
+    0x5491b9b2, 0xe369061c, 0x5e67c263, 0x810c7a8f, 0xf5139c1b, 0xdcbcf07f, 0xa2d5cd60, 0x6cd47467,
+    0x0c88173c, 0x70708c4a, 0xa3194a53, 0x6631f2d6, 0x53ac65b7, 0xe7268e79, 0x9357728e, 0x9d4b3b92,
+    0x18e90ece, 0x5fb4ff55, 0xe591a051, 0x2271712d, 0xf3d6c443, 0xc0308056, 0x9017e110, 0x0e36934b,
+    0xd80eec51, 0xcb4b3130, 0xd8af2647, 0x3fbd0c40, 0x3e9f5aa8, 0xa6679929, 0x7a40fbd5, 0xe3e4ee5f,
+    0x865bc40e, 0xf72f89ee, 0x6c7cfe35, 0x446da712, 0x0e6129ed, 0xbf6a1d00, 0x5d1903af, 0xade170f8,
+    0xd81da6de, 0x272fe5c2, 0x4bc4b41c, 0x62497a61, 0xa6c71869, 0x14d6f3ee, 0xf67db6d4, 0x2f24b38d,
+    0x7bef39a0, 0xab8c0523, 0x47d20cb6, 0x93a79f5e, 0xfb7ee2a8, 0x5a03260a, 0xa5e97d6e, 0x22855a39,
+    0x18ea76d2, 0xd16775a7, 0xdcfd1c7f, 0x1fbc3307, 0x99a9fa4b, 0x732a733a, 0x2a3f922f, 0x308087a0,
+    0x7f0d2b2b, 0x600687d7, 0x6d6e6b01, 0xf89e1b2b, 0xfb633e65, 0x582b53fd, 0xf8b57188, 0xbd821852,
+    0x635eee92, 0xae5ab528, 0x5fbb43f1, 0xcf86c9c8, 0x5af193f3, 0x16abd4e5, 0xeca9a046, 0xc3bb7372,
+    0xc23fcb8b, 0x34fccc21, 0xc3c6938b, 0x5552a525, 0xc3c7d1fb, 0xd4b68239, 0x8fc9dafc, 0x10d843d9,
+    0xceac44f0, 0x1126a46d, 0x0fec930e, 0x5894b411, 0xdd74173b, 0x313005cc, 0x53b281fb, 0x4e3bc449,
+    0xd2c77539, 0xded8772b, 0x0532fc43, 0x359fdeaf, 0x2563f9d2, 0xc278661e, 0x19001e48, 0x6e7c9fb6,
+    0x13c95fa4, 0xbfc773b3, 0x0906829d, 0x6bb2afe3, 0xaa05c88c, 0xb4f81e25, 0x7b83b597, 0x79937277,
+    0x896a9f40, 0x8b2dde7e, 0x1b7b44e9, 0x87c939be, 0x59ecafb7, 0xf646c69e, 0x184673d6, 0xc99244ae,
+    0xcdfc9e5a, 0x55d1dfe8, 0xebf272a7, 0x4d23578e, 0xfa3722c6, 0x87e4d54a, 0xa8d72d0f, 0xe6b39b88,
+    0x8bfdd589, 0x5c6d3959, 0xdd4ab6fc, 0x967cf776, 0x1e98f1d8, 0xf62e7a64, 0xbee2306a, 0x9f2715a9,
+    0xbe3576c0, 0x5985494d, 0xf1ac62a6, 0xc4fc2d22, 0x122523f2, 0xd6cf4abe, 0x76df1d96, 0x586b85ad,
+    0xe124a374, 0xc5bd8348, 0xc59c2eec, 0x6bccc68b, 0xf7586a5c, 0xf051d9be, 0x527488a6, 0x1dc844f3,
+    0xc513ee57, 0x77c75974, 0x1e8a9f5f, 0xef4c6416, 0x60d23e73, 0x2b32da85, 0x000e413f, 0xfd20a370,
+    0xc52fb7dc, 0x6dcf7cc5, 0xcccc2cf0, 0x5e289348, 0x4f1bd629, 0x1eb72098, 0x922f0407, 0x15ddc3fd,
+    0x1c5165d9, 0x9095b35f, 0x1e241389, 0x86888d13, 0x14a427ec, 0x17a0f235, 0xbb1cbf5f, 0x538a0fdb,
+    0xd197f774, 0x905d153c, 0xeef5cf31, 0xae453074, 0x9442902a, 0x51be4112, 0x36e2d80e, 0xb1539416,
+    0x06a0e34c, 0x76949cfc, 0x98c59449, 0xe9ce9fde, 0x21ebc914, 0x734655ce, 0x9c5f793c, 0x0ce43a10,
+    0xd5a501d0, 0x06ef342e, 0x15edd6b2, 0x2c4d4a22, 0xde8255df, 0x96cb1506, 0xa16ead97, 0xc5ae6509,
+    0x24ed1bb4, 0x7837e430, 0x6d87de2d, 0xfdfb3278, 0x59048a80, 0x83ebb454, 0x77538c58, 0x6061a8a7,
+    0xd0c6ba27, 0x4675ee25, 0xb2eef147, 0xa8402756, 0xafcd7523, 0x6a3e0a5b, 0x3fbc6c5e, 0xb1c5503f,
+    0x76607683, 0xc7b70d91, 0xbf37f279, 0x192f9cf2, 0x0e8ec750, 0x9019b146, 0x5c538e71, 0x9dd4c9a4,
+    0x99fea4d0, 0xed4ea93c, 0x50456f68, 0xe999179e, 0xc681220b, 0xe67a9d60, 0x02dd2a03, 0x66952218,
+    0xa95ec542, 0xb95227c3, 0x4c06a98b, 0x17b18838, 0x27345ccb, 0xebfb9c89, 0xf93a6e02, 0xa8b46b67,
+    0x350f036a, 0x8fa57a93, 0xbf2d2f75, 0xbc1f3fbf, 0x1f8acd67, 0x4e6457f9, 0xbb978f24, 0x4e0ae1b0,
+    0x529ecced, 0x635b2bf0, 0x5d9ff5e1, 0x701bcda3, 0x89959c7b, 0x9ad171aa, 0xea35bf0a, 0xad919478,
+    0xa5e283a2, 0xd8499008, 0xe6da27fc, 0xf1feab27, 0x24818da3, 0x51e292e8, 0xd86c0a04, 0x70c4e40e,
+    0xd5d76bab, 0x79953e56, 0x91233d6c, 0x0d67e464, 0x6a3b3b5e, 0x3ad7bba3, 0x156557ef, 0x1c11e486,
+    0x1ed3bf21, 0x9135ac1b, 0x773fe482, 0x1d17ba59, 0xbcd56f88, 0x8849a2d8, 0x3e8b9a73, 0x261ac4bd,
+    0x07040730, 0x653babed, 0xf5cc6634, 0xc9b7ae94, 0xffb7bb4a, 0xd6b3b1ab, 0x84c18193, 0xe1479777,
+    0xa81ea111, 0xc461123c, 0x73ecb507, 0x0558b6cf, 0x48201211, 0xd4e44a04, 0x0b3bac58, 0xbdb71459,
+    0x9dad57f7, 0xa852248b, 0x328f88ee, 0x3be81911, 0xeeac50e0, 0x29f76d4f, 0xb81bc958, 0xb5bf1ec9,
+    0xcb8f3461, 0x5fb62dbc, 0x6c93e163, 0xde564282, 0xa635be6f, 0x6b9859d4, 0x3d99e240, 0x2a78cc9b,
+    0x08e056c7, 0x963e501f, 0x72ad194e, 0x6c37d2a1, 0x4a9b3c0d, 0xaac95ee2, 0x726107cf, 0xdd665c3d,
+    0x8b5e3b58, 0xee4a264a, 0xec95a6ca, 0xb1b4495c, 0xb02863f4, 0x901f1a95, 0x05426882, 0xedc3354e,
+    0xd903b6d8, 0x3b2a6da1, 0xd9cc30d3, 0x0b5bb549, 0x68cc7040, 0xce491289, 0x5f02d0ba, 0x84d78f83,
+    0x00000000,
+    0xa19723a7, 0xf95b2c3d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000144115188075855872 */
+  { 0x00000000,
+    0x18caad66, 0x1b71a130, 0x069ec189, 0xb488a71c, 0xb8afe9be, 0xbb480e47, 0xc971cabf, 0xe1a1b733,
+    0x412125af, 0x9f1e1dbc, 0x4971eca5, 0xf2727531, 0x9aca6dc7, 0x5714ac79, 0x5250ad45, 0x3f1f3f01,
+    0xf468da53, 0x52fad461, 0xeb01741a, 0x67952fcb, 0x54b4e823, 0x4f6b1b91, 0x1b628c9e, 0x6386d2b5,
+    0xb7ae5658, 0xffb0e2d1, 0xdcd1f78c, 0xfab44102, 0xc9906308, 0x473bda06, 0x96716b62, 0x92633480,
+    0x750a8907, 0x69f4e9d0, 0x62244c61, 0x5181310f, 0x108063cf, 0xb73d4c32, 0x56a9ba38, 0x57e57785,
+    0xa1e6bef6, 0xd85350ac, 0xddc1cfe9, 0xdbc68d4e, 0xfebaffed, 0x8eb5618b, 0x6ada750d, 0x4e46f7ec,
+    0xebe74dc6, 0xbcd75ac3, 0x515d12b4, 0xe647863a, 0x199ad659, 0x747fd86d, 0xfe57285d, 0x9573c914,
+    0x804455b7, 0x69afad8e, 0x0383f2c9, 0x925454bc, 0x8284edea, 0x78648e2b, 0xd611b24e, 0xcc5b7f52,
+    0xfda6c003, 0xa6f2ce52, 0x61dc108c, 0xc58babb6, 0x6060f23d, 0x68b547a9, 0xa82ee67a, 0x863c1f62,
+    0x13d637ad, 0xff249c5d, 0xe592e57e, 0x2b02547e, 0xfcdec448, 0x369d3b5e, 0xdf436f3d, 0x61bfa36c,
+    0xb60b9f87, 0xb2e2a508, 0xe842e0da, 0x1513def3, 0xd6dc42ed, 0xa5b6f2e7, 0xfbb18f8b, 0x0aba0a3e,
+    0x2ea6de59, 0x56018980, 0xc8f22172, 0x1ca10b0f, 0x2c8abee6, 0x3cb68ad5, 0x92dc5e50, 0x67bfaebf,
+    0xa28b0a4b, 0xa2d4ecf6, 0x0061b637, 0xd57914c3, 0xcf32541c, 0x01d315e3, 0x6c22bcc9, 0x6110c981,
+    0xa400f13c, 0x6d2b157d, 0x33ea9ac6, 0x24b8284a, 0xeb36bd81, 0x79ed3f42, 0x81214510, 0x4ad2bad1,
+    0x5bdcd4a1, 0x69278b98, 0xc1ea4ed7, 0x046698b0, 0xb6d5a118, 0x5bc7155c, 0xd905be86, 0x1ed1d353,
+    0xe46d01c6, 0x2a5ab904, 0x00217de6, 0x42f7cfef, 0x3dc99d6b, 0x841956db, 0x687f4759, 0xd669ab80,
+    0x1440615c, 0x2275a3b3, 0x02d6d2ea, 0x26229d37, 0x77462142, 0xe0f77694, 0x3bd90b34, 0xe436d145,
+    0xaeb868ef, 0xa62ace38, 0x79c4cbf3, 0xc34a48a6, 0xe8bdb11e, 0x1aa6dfda, 0xcbf0cf4d, 0x89b9b707,
+    0x6a519ae9, 0xa41c33c6, 0x2f48c4fd, 0xf378587e, 0xbebbb9ee, 0xf86e90ee, 0xb20b70f3, 0x66343a13,
+    0xe8cc89e5, 0x40dd453d, 0xf5a44622, 0x9e9efa24, 0x16f1a9b9, 0x06213a81, 0x49d5718d, 0xaa9663c8,
+    0x9384b8f8, 0x32b15e18, 0x3ff642b2, 0x7c9bd5db, 0x949b7f5e, 0xd0b7cc44, 0xf8a7b6cb, 0x3198c409,
+    0x6b326051, 0xacb07f59, 0x60108d43, 0x50fa201e, 0x9cdc5189, 0xbd16cc96, 0x8e274a7b, 0x3de1c8e3,
+    0x48b2abd6, 0x2fb39170, 0x67b3ff5e, 0x5545e4ef, 0x9ddfd58a, 0x6004da64, 0xeb7001f7, 0x0d8b6877,
+    0xe37e10a4, 0x986ff357, 0x6f6b83eb, 0x30664987, 0xe18a7e2b, 0x5e455ec6, 0xc3b86889, 0x7219747a,
+    0x5001c147, 0x673798b0, 0x45e73222, 0x9f1cac19, 0x39cf6c2e, 0x2a22908a, 0xfbfcb629, 0x1b085088,
+    0xc05dc515, 0x81019bc0, 0x7963e160, 0x1f761aff, 0x8439264c, 0x3bc95def, 0x22ea20f0, 0x54661aaa,
+    0x7b0a496c, 0x94182d22, 0xbc339033, 0x4a02a193, 0x280bda6c, 0x0db620bb, 0x06d4b493, 0x5035afd3,
+    0x2020fbb5, 0xfd5cef5d, 0x0971972e, 0xfb6800d8, 0xe0941aee, 0x5d7a504e, 0x5679f7e7, 0xa730dfba,
+    0x669b71ae, 0x36dcbd50, 0x623d0e59, 0x9a664e5c, 0x2febc04e, 0x4cf69cbd, 0x8af5dc41, 0x7e73ca12,
+    0x1669748c, 0xe4480c2e, 0xbaf7500c, 0xb4c8a758, 0x77080baa, 0x418013eb, 0xdb1c30c2, 0x2ae3aabc,
+    0x7058a9a8, 0x07a16bb7, 0x35f420bd, 0x5d2c5ac8, 0x93ab8ab3, 0x3f0f2aca, 0x600c8e29, 0x26a5cce6,
+    0x8e0948f2, 0x2f4e6244, 0x4136fd97, 0x1bad78d7, 0xf00fe242, 0xe513f8fb, 0xa26a5a47, 0x799b3a94,
+    0xbf874d88, 0xa4fcb9d0, 0x4cc8a045, 0x6d4cb0b2, 0xb6050e83, 0x891a4591, 0xf8ad8cc7, 0x70c81dcc,
+    0x7b493cc0, 0xb9cb5486, 0x8e1dbb26, 0x041ef9a9, 0xb433f1eb, 0x96ccbb66, 0x59966b28, 0x052882cf,
+    0x184a8270, 0x1f52863c, 0x99544b2e, 0x8b827215, 0x02393e3b, 0xd6152a65, 0xe7dfddee, 0x94974ea5,
+    0x52a810d2, 0xb97a55c5, 0xc9b3f889, 0x47fc2a70, 0xb25f8021, 0x65ec9f3b, 0x8f4c4add, 0x24577fc5,
+    0xa9a58ad1, 0xc882bb07, 0x4fea7a73, 0x9fc590af, 0x973202a6, 0x59e95425, 0x7efb27e1, 0x0252d4da,
+    0x4e19d251, 0x508b904d, 0x646f4c85, 0x6448c4d3, 0x32b42e40, 0x012a0567, 0x088138b1, 0x25a216da,
+    0x1f8781c4, 0xa3cc020c, 0xfaef0ada, 0xff19a682, 0x69c481a6, 0x1930a28f, 0xf29b3f41, 0xfb17078e,
+    0xbf3c354f, 0x8d8789f0, 0x036dc606, 0xa691c270, 0x01051e16, 0x18592360, 0xb82b6b85, 0x92ce1ffb,
+    0x17bf6956, 0x335c65b1, 0x5108c5ca, 0x90b70b69, 0x67c75af1, 0x8b8d37af, 0x7df12ecd, 0x1d7cdaf0,
+    0xb2706209, 0xfe77ffac, 0x3ed5256e, 0x42145c96, 0xdceb5fca, 0xe54236b4, 0x6e10cbfa, 0x85473ea4,
+    0x9ce04a57, 0xb4d17b35, 0x26df607e, 0x0ce13956, 0x8f18a0a2, 0x129ae167, 0x0ab8eda2, 0xa537fe5e,
+    0xa54bc1b6, 0xc7cd5b96, 0x1e3fda70, 0xbaadd075, 0x5e8698b8, 0xd0937084, 0x03c9f27e, 0xd72baacf,
+    0xea550dc1, 0xc26d1316, 0xdfe88c4c, 0xdc0779e1, 0x4fe54c02, 0xfd28b30c, 0xebbeb123, 0x7fcebacc,
+    0x67028c0b, 0x3040793a, 0x0c087c73, 0x67404c0b, 0x4a34b746, 0x058bf530, 0xabc6d706, 0x74c3244d,
+    0x9dd8023c, 0x34acb52e, 0xa649090c, 0xfd31c1b4, 0x9d001dac, 0x38e42e12, 0xb8eceb14, 0x21d69b97,
+    0x87a0dc8b, 0xfaf923ec, 0x9396c948, 0x02c787e2, 0x0b6cf930, 0x188fa689, 0x6d30d5ec, 0x9455aa5a,
+    0xd7072f14, 0xb3c775f0, 0xc56816e8, 0x6d0de466, 0x54697d52, 0x07204119, 0x300eee49, 0xe4df6f84,
+    0xd2647f82, 0xd7717cc2, 0x48c6ff35, 0xb81de561, 0xbe2ee57d, 0xe3e87749, 0xa7c43a63, 0x7c70cedc,
+    0x20babb42, 0x83944ff9, 0x2aac0e4e, 0xa64541da, 0x9de366ed, 0xf0641e07, 0xc91fffae, 0xdc30c138,
+    0xa51489d7, 0x349d59b4, 0xdc3a3f31, 0x8e2e35ca, 0x66addc3c, 0x18bb77cc, 0x988fb5c6, 0xbd12ec63,
+    0xdcf73c83, 0x8aa07489, 0x9dc08ac0, 0x746a3450, 0xe5ef3061, 0xe3e946c3, 0x23aea13d, 0xeca77823,
+    0xfb5c4ae2, 0xdafd1332, 0x964f75ad, 0x3cfcea8d, 0xb8009681, 0x938d7b49, 0xf737040a, 0x58f92e3e,
+    0xdb01906e, 0xed68857f, 0x70a24287, 0xe34b1beb, 0x901c6c7b, 0x32aab0fb, 0xdd1d4617, 0x3b599dea,
+    0x4d5fa6f6, 0x8f49f7c3, 0xae7a6c76, 0xaa7d5da4, 0xf1d1e482, 0x28224056, 0x4ef91a0d, 0x1e54abe7,
+    0xf36376ba, 0x40b2fbf5, 0x4db71951, 0x57bfec17, 0x51a74d58, 0x6234766b, 0xf4155b1b, 0x5cc9935c,
+    0x5013e668, 0x143b56ee, 0xed45277a, 0x56acd3e2, 0x87ff88de, 0x7ccf2852, 0x28d6cc72, 0xfa54382f,
+    0xb27cb29d, 0xe31c791c, 0x562da15d, 0xca47ec99, 0xdbe8330a, 0x863ad507, 0x41ee5b52, 0x8776e314,
+    0x1683cb91, 0x64dcb389, 0x46bf8bc7, 0x6aa035de, 0xe74b9a18, 0xa36df290, 0x8df3ed5a, 0x8dda31a6,
+    0x7e48d6fc, 0x7fb05653, 0x65d5a241, 0xc36ad8b3, 0xa367fa7e, 0xe6bebbc3, 0xb1de60ca, 0x507cdc38,
+    0xc6d256b5, 0x579fa54d, 0x2f552e53, 0x5757fa5b, 0x6a47df4b, 0x939dc3ae, 0xfb2d2611, 0xf594ae67,
+    0xe27efe90, 0xd5812467, 0x120beaac, 0x73632bcb, 0xbaff4623, 0xb70fe1d5, 0x13203a50, 0x99200a37,
+    0x08478c9e, 0xc21988ca, 0x39d4c5e3, 0xd4f163e6, 0x2622897b, 0x5b0e34c4, 0x5638841e, 0x837d0f75,
+    0x1036fa54, 0x23391e94, 0xf26de319, 0x0e2f6673, 0xd4f9b5b5, 0xa450eb11, 0x82d929d8, 0x3219439b,
+    0x7ae72b02, 0x0e9071af, 0x7cac385d, 0x02c5a4bd, 0x18315d08, 0xde977a3e, 0xa95b4a25, 0x02328fcd,
+    0xa70d8851, 0xd66dddbf, 0x0a9f4f5a, 0x545cb250, 0xf3e49085, 0x392fcfbe, 0x92a1c2ca, 0xe4043103,
+    0x3141e0c1, 0xdb94d7ef, 0x161fa71a, 0xcc104568, 0x6091784e, 0xf907b3ca, 0x93e67437, 0x59256395,
+    0xf4f1e091, 0x67212a35, 0x0e3863a8, 0xbdd32a0c, 0xd345fb08, 0xc0acf251, 0x0aa6491e, 0x5912bf4a,
+    0x34208b3f, 0x606a6e4c, 0x4c5935d8, 0x89ef5a3e, 0x23308a8d, 0x1c509e62, 0xe19bb1ca, 0x5598ab0d,
+    0xa78f4948, 0xd1c6211a, 0x4283b263, 0x1f91ee87, 0xbc3da258, 0x20f202dc, 0x60935f05, 0x60946504,
+    0x613939c0, 0x9ccdd160, 0x54fadb0a, 0x6cf86c36, 0x08d529a1, 0xf575f02d, 0x7ad3911c, 0x60a09137,
+    0x4416f1a2, 0x0b737e83, 0x72cba873, 0x96da5714, 0xa36c91c3, 0x916666d1, 0x8ab2111e, 0xc6435dcb,
+    0x53252b77, 0x771ac072, 0x751e7eca, 0x560ae7da, 0x6c64600f, 0xe52c336d, 0xc8f3533c, 0x995ffe89,
+    0x9d59c0aa, 0x8d5d185a, 0x9a87c1dd, 0x6f8938ec, 0xe2a1c477, 0xd5d2d5e7, 0x540a4d66, 0x84eb428e,
+    0x1b48e1b6, 0xdb342e32, 0x40c709a1, 0x4a46cb3d, 0x9dba0977, 0xfd2668cc, 0xd16ec42f, 0x42b35d5b,
+    0xfe9a69f9, 0x6106e36e, 0xcb72b7b5, 0xf99b0c7b, 0xb10372f3, 0x78c45eec, 0x9950a694, 0xc6311459,
+    0x3238b8d1, 0x67c9fcb1, 0x4b4c6709, 0x4374641a, 0x2afd0f75, 0x3aad981e, 0x9d251174, 0x09871004,
+    0xb49ab067, 0x947c055a, 0x792c8d2d, 0xe38ca31d, 0x96f3e9cf, 0xd007a3c5, 0x2d33b490, 0xb94ad5b6,
+    0xb75f5f7f, 0xa491216d, 0x662fda6c, 0x08e0fc11, 0xc40f1e4a, 0x004ee756, 0x5797a702, 0xabb1f4e5,
+    0xf7a34843, 0xff19e6f2, 0xc3497910, 0x33d0b03c, 0xa897b169, 0xb191f526, 0xba7eb393, 0x60106040,
+    0xbfa96f43, 0x925cf064, 0xc181d958, 0x5b1e1472, 0x54b7d07e, 0x82332d1b, 0x1c61a017, 0x3bae5835,
+    0x0c10b169, 0x99156320, 0x445b5db6, 0x6cd3119b, 0x1cd058d5, 0x0f5239b7, 0x144c297a, 0x3005587d,
+    0x371070e8, 0x20af4349, 0x87e8a5e0, 0xf350ffee, 0xb8508363, 0x57fc50b7, 0x94d96e65, 0x4488d719,
+    0x482d2673, 0xbb557d35, 0xba26bcce, 0x9ee657ca, 0x28a0932a, 0xd59950a4, 0x8f3c2cd6, 0xb7412661,
+    0xf18fd83a, 0x560542fd, 0xa293f52c, 0x394dc597, 0x048df48a, 0x8a7f33ae, 0x3136219f, 0x71a63a0e,
+    0x2e469c8a, 0x865f12a7, 0xc3b61ded, 0x35e14e75, 0xd3743a8f, 0xc8c4b7c7, 0xdaa83711, 0x9ea8f437,
+    0x69172956, 0xcbc242b4, 0xaef94132, 0x2f8a1978, 0xdeaef650, 0x3df08679, 0xa9a9d67b, 0x4ae3b8ff,
+    0x3243a598, 0xd5a8edf2, 0xf3ecc38c, 0xdb7ed071, 0x38be29f2, 0xb0d04048, 0x947ef989, 0xde0450d4,
+    0xbcd27cb7, 0x83791bf8, 0x4ddb3a43, 0x0666f625, 0xfc5bc107, 0xed8d0a16, 0x5f21bedf, 0x2003baa6,
+    0x7dd5be34, 0xebf6368f, 0x2fd0729e, 0x61324ce3, 0x5805f22f, 0xbe5c59fd, 0x6d5cecbc, 0x6f9c066a,
+    0xcee40aa3, 0xa6777e8e, 0x06488088, 0x158bda8e, 0x6e187fab, 0xff84ddc7, 0x47085b17, 0x9f9a105e,
+    0x9ef86876, 0x4eb7cf1d, 0x3787c557, 0x84035006, 0xa4c9f717, 0x8de3683b, 0xb9b6922f, 0x841ad5dc,
+    0x49247a75, 0xef8c5bf0, 0xc2e98bde, 0x8fda0295, 0x77be87e8, 0xbe02d59a, 0xea6c0613, 0xa0bad30f,
+    0xe1e0eb92, 0xf04a2f88, 0xa7f45510, 0x68fc539b, 0x9f037920, 0xc5512ffe, 0x6fbc0429, 0x2ce9efd4,
+    0x818482c3, 0x9f8eae6b, 0x6bd31730, 0x4d20efe1, 0x55b111ca, 0x54fd7fbd, 0xcb17d8f2, 0xe4b7316a,
+    0x946d7d9c, 0x4986755a, 0x0549204a, 0x6aef4717, 0x162dbe2b, 0xefbe66e7, 0x86f5b3e5, 0x31e8c2cf,
+    0x30a78d15, 0x4d02b3ec, 0x17fca5de, 0x02e45e36, 0x9e9e19b5, 0x0388b5f9, 0x2c3ad92e, 0xf548ff49,
+    0x0a21c439, 0xe5498052, 0x9aaee5ac, 0xafb82afb, 0x2e4a5b1a, 0x0ca7877d, 0xe2648767, 0x236d828f,
+    0x19f07831, 0xf6a0415b, 0xb9c58f4d, 0x2e45c08c, 0xcca6f446, 0x21e0da55, 0x0c4467e0, 0xcd74be82,
+    0x1679aa3d, 0x58c6b7dd, 0x3414b0f1, 0x8bbd0ead, 0x84b3cdb6, 0x7cd8a9b6, 0x3d48372c, 0x48e2f437,
+    0x9fd26326, 0x99eb24a2, 0x59c19032, 0xaf9a91d2, 0x250258ed, 0x9aaf801c, 0xdd0432e9, 0x3666f0e8,
+    0xf355cf74, 0x4b987fc2, 0x41b937c3, 0x9fcbe62f, 0xcb871681, 0x0b50404f, 0x9686336a, 0xac230980,
+    0x9429924d, 0x296c4462, 0x31597dc3, 0xf4ab370e, 0x3cf299fb, 0x58d80588, 0x91a1a32d, 0x157c17a9,
+    0x3b83d0cc, 0x6161ef6a, 0x82426124, 0xa99a7046, 0x5035846b, 0x08973280, 0xd1b69614, 0x70838e51,
+    0xf07ba681, 0xc955cd75, 0xf67c5421, 0x429763ca, 0x4775503f, 0x74c6f6db, 0x8f0e71b9, 0xe425b595,
+    0x386bd218, 0x4f2dbad2, 0x4832a163, 0x7d382a2c, 0x607f85a3, 0x213a48a5, 0x9fd34036, 0xf87bf90f,
+    0xde1fef1b, 0xd1cccc6e, 0xb21619b4, 0xdb258eba, 0x3cb5d53e, 0x0eb0172f, 0xd1fb3ce0, 0x09cd38f0,
+    0x19238da2, 0x564a2cf2, 0xc2ab492d, 0x97b605f3, 0x088e8b8f, 0x55789541, 0x6451a521, 0x8ce0bcfa,
+    0x47e99130, 0x8a4d415e, 0x9626125f, 0xd64a7262, 0xcdb767eb, 0x255989a4, 0x771fb60e, 0x921b513e,
+    0xcef47343, 0xfbc0abc9, 0xd92bc7da, 0x0e11c847, 0x1399d08b, 0x6f583135, 0xe07b5e9b, 0x3723eba6,
+    0x19040cad, 0xb9868334, 0xf017c4db, 0xef969d4f, 0x33e12e2b, 0x3c7ebb2f, 0x26ed9e40, 0x35ff2748,
+    0xee21aad0, 0x170eaac9, 0x25a6cd48, 0xe26fbc12, 0x35149a22, 0x0d229079, 0x8966a63f, 0x046e15af,
+    0xb33a46de, 0x5af5eb64, 0x303d28f1, 0xcd9923bd, 0x285794e6, 0xbfee189b, 0x56e18033, 0x027ec47a,
+    0x852726e7, 0x7e70bf2a, 0x22b86a06, 0xf7e2f0a5, 0xbc02a314, 0x15aca61b, 0xa1fd4b1f, 0x87c74e82,
+    0xb140e0c3, 0x055e7448, 0x0f99a9f5, 0xe861f089, 0x1a4f3eff, 0x93d68215, 0xfa7b1120, 0xebae9ec2,
+    0xf12ecbdf, 0x773af732, 0x36b425ba, 0xa1d97728, 0xe3fad1d6, 0xc4c00533, 0xe3942f3f, 0xf99bfa1b,
+    0x2f6a1ff4, 0xed6e4f9a, 0x719264a0, 0xef9d5893, 0x63571faf, 0xe5a9aae4, 0x91a1c1e2, 0x82899949,
+    0xfeaa92e0, 0xd58c73e1, 0xe1e153a9, 0x84695d99, 0xda35d67a, 0x046f3763, 0x585ebbcc, 0x64cff029,
+    0xe54f7a27, 0x5d204715, 0x2dd8e23c, 0xfee14f85, 0x07afb22c, 0xc83d6213, 0x7772593d, 0x35f37267,
+    0xa5e027fd, 0x1b663dca, 0x9d5706c6, 0x0c866d5c, 0x04a8ece6, 0x58d682b5, 0x489e662a, 0xb177de6b,
+    0x6c0e037b, 0x20cf319a, 0xfb63dc38, 0x08ebcf9c, 0xb838026b, 0xc24a5cf2, 0x7aa4cdde, 0x0501d708,
+    0x38e5bae7, 0x3bcd71dd, 0xe8a327b6, 0x221128d9, 0x7d1d1034, 0x1cf0ee24, 0x50141fdf, 0x49b1caae,
+    0xa2c15ec7, 0xbb770372, 0x06834e83, 0x945854dd, 0x7263c549, 0x013e16e1, 0xde8df480, 0x5597e390,
+    0x775d22a2, 0x3cb09b1d, 0x1ec148d2, 0xdd28c670, 0x8556ad6c, 0x68b39ced, 0x5780796a, 0xa97ded74,
+    0xca7087eb, 0xe28a2ed0, 0xe543ed14, 0xd398e1b7, 0x05e11a0c, 0xba7eca74, 0x2da5a731, 0x826606fc,
+    0x00000000,
+    0xd0cb91d3, 0xfcad961e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000072057594037927936 */
+  { 0x00000000,
+    0xc1174e02, 0xf45dd2f3, 0xdb5b5634, 0x8e17c3ac, 0xf31a1641, 0x11997516, 0xfe44cf0c, 0x06e03c3d,
+    0xb3c78d3f, 0x68a0204a, 0x37d44587, 0xa87c2711, 0x40ddb1ea, 0xe03c776b, 0x74b1f59b, 0x4b91a120,
+    0x42d186d3, 0x5c3cf683, 0xf3573d1b, 0x3dc6a4b8, 0x2c7cc52f, 0x931df306, 0xaf0620f6, 0x3415263e,
+    0xe814aa26, 0x93b55ccf, 0x99b6e462, 0x31e9cfa8, 0x975ac0d2, 0x1cb60677, 0xbce9804d, 0x3dbf1d35,
+    0x5fd5f62a, 0x260d50db, 0xa7b9c75e, 0x79a2e269, 0xa0b3245a, 0xf737e8dc, 0x3baa1ef1, 0x987fa542,
+    0x0c42ca1f, 0xcc77ab64, 0xcf564762, 0xa3cad260, 0x1c9d8822, 0x86eebfd5, 0xb9ec4d6a, 0xfb0cbef6,
+    0xb2cb05f5, 0x1229eacb, 0x6f265621, 0x4664e399, 0xd4ee5c54, 0xf3a3c897, 0x77221b91, 0xcde348a1,
+    0x6432243c, 0x402c3264, 0x0ff315c0, 0xdb57cdfb, 0xe4bdec4e, 0x3e79185e, 0x54d9b2b9, 0xaf59ff1b,
+    0xae7cd6ce, 0x61b25a23, 0x5d3d06f4, 0xbe6a6640, 0x213afa11, 0x8aa455a6, 0x07328b2f, 0xb4e7a11b,
+    0xeb7be4db, 0x2a24024a, 0x96caea40, 0xbd9317f0, 0x4eeb2343, 0xac4f77b7, 0x22532fbe, 0x478032c2,
+    0xf744238c, 0xe22287b9, 0x9f277fec, 0x9584f30a, 0x98bd91aa, 0xc82967ff, 0xc6d2f91a, 0xe7c388db,
+    0x33f96678, 0x6849796b, 0x8f2c39a7, 0x32047424, 0x1d1c5902, 0xdb03fb18, 0x23325715, 0xf2cabd50,
+    0xb9248d78, 0x0007a7fb, 0xa68a3673, 0xa172a63e, 0xe94de93a, 0xc4573d0d, 0xfb855500, 0xe8895a16,
+    0x76bdad8a, 0x1cefe8af, 0xd4cf222a, 0x7af7ec34, 0xc4f14d50, 0xd35e1573, 0x84ebafec, 0x0971b0eb,
+    0xbdf09112, 0x70de43d1, 0x6f7575c5, 0xe40a8440, 0xaa904bb1, 0xb7f5dfc1, 0xf22b50e5, 0xaddcc7b3,
+    0x71bffa0c, 0xafbf4dbc, 0x1575c1aa, 0xd3a9cdf6, 0x8e126ae4, 0xfb74b497, 0x38aa29d1, 0x2b74112c,
+    0xfaf3b19e, 0x50af412d, 0x4d7c6947, 0x2b9c7755, 0x77e73175, 0xdd9bdc5c, 0x3cec8d33, 0x02c5879a,
+    0x5f41fc70, 0x543f5f17, 0x9dbe6ec5, 0x883dcd94, 0xdf4e8726, 0xe24e8b07, 0x20a65a12, 0x65d6747a,
+    0x808d5e72, 0x4c438f45, 0x02058296, 0x7ec9e750, 0x54556fdf, 0x9c11d72a, 0x6e0c8c8b, 0xa158aa0b,
+    0x037bbb7c, 0x1d30b638, 0xd36f2429, 0xe949ebfc, 0xcb87bd81, 0x1e401159, 0x89c27354, 0x941dbd81,
+    0xd72a5447, 0x6288d113, 0x8dd0d3da, 0xf0b35cf0, 0x253d7b4a, 0x8a6028c9, 0xee32c448, 0x4848ddba,
+    0x06d23b08, 0x4e413798, 0x1a6f3caa, 0x4b1a675b, 0x67d3253a, 0xf0fc9ac9, 0xd3a76848, 0xfb3b0cd2,
+    0x8b7f0f1a, 0xebc537f8, 0x19bff26b, 0x83f290de, 0x8c7bfc6e, 0xd5ab9814, 0x0922be49, 0x019f4974,
+    0x0edd1bdf, 0x50ab77b5, 0x3c26ec2c, 0x945874b9, 0x0edf14a2, 0x16387ad3, 0xba04e15e, 0x46276d48,
+    0x17546f47, 0x64730057, 0x5478a9c5, 0xfadc5155, 0xc7101289, 0xe7d16041, 0x8e32bb8f, 0xf3c36771,
+    0x370af786, 0x327c92d7, 0xdb65d598, 0x68c58822, 0x47db57b2, 0xe2077aa5, 0x8d72db3e, 0x27c936b4,
+    0xfb6bed4c, 0x4e210ce0, 0x283724fa, 0x9376e8de, 0x6aa67dda, 0x21c72f0b, 0x9f7f54c3, 0xe7230db1,
+    0x94a5f59b, 0x901dd412, 0x454aa7d4, 0x98aaa816, 0xab2f56ec, 0x4f201ba2, 0xf7e8984d, 0xf921eb02,
+    0xafebc997, 0xc2041167, 0xc37dd91a, 0xbab7b5d0, 0x205f80bc, 0xaaf6cb07, 0x432d9ffb, 0x154eb518,
+    0xa488965b, 0x8ac38b3d, 0xc2918767, 0xa762fb07, 0x55b8fdf5, 0xd2b70566, 0x372c257a, 0x7e5bdafd,
+    0x091103af, 0xae0ca9c7, 0xcd0a683d, 0x6ce5e947, 0x48f2686a, 0xe709c3b6, 0xb1e9cb57, 0x36cc0334,
+    0xe28260a3, 0x6719987e, 0x11fd7cd4, 0x9135b571, 0x92058821, 0xd68a7f2f, 0x22ec8972, 0x9e58b7f9,
+    0x6b89043f, 0x8a77787c, 0x641fb067, 0x47bc944c, 0xbc5aebdf, 0xd1b7d65b, 0x90c56f1d, 0x6b7af281,
+    0x0a54d890, 0x55745fcf, 0xa57f383e, 0x2ca63714, 0xa7e36df2, 0x4776ff6a, 0xcfd07679, 0xb615db2f,
+    0xd646b528, 0x216fdea6, 0x91451d4e, 0x8a3a4a3d, 0x58a14719, 0xdd701d41, 0x7f45c522, 0x8f33a45e,
+    0xf14ab630, 0x591bce74, 0x6a501580, 0x749cefa2, 0x15ca8edb, 0x87a11184, 0xfccb9248, 0x14972b72,
+    0x6884c2c5, 0x08afb828, 0x3e69a2b5, 0xe3eb94e6, 0xb17f9377, 0xd13d9a71, 0x52d592d1, 0x6cf06d71,
+    0xbc229412, 0x73dcea1b, 0xc1771cd8, 0x31f41bfb, 0xad61cc42, 0x2a4a82cb, 0x72266c3c, 0x2c1616e3,
+    0xa4c26614, 0x95e0d3b6, 0xf09b3f9f, 0x631caf9e, 0x912de484, 0xe458ac3c, 0xc4deaaa5, 0xf2192613,
+    0x53372f21, 0x52305846, 0x536b0e49, 0xacadf295, 0xf5159cbe, 0x962342ae, 0x793ae6f3, 0xac8e0a48,
+    0x8f185d21, 0xbe7d38f4, 0x7a65563a, 0x8589b207, 0xc3349c95, 0xdc166f16, 0xab377d15, 0x3328e6ca,
+    0x8a6ccff5, 0x6489ab2d, 0xf21878f8, 0x8bbabb56, 0xf7345795, 0xd15e8a5e, 0x7cbecda9, 0x3d549408,
+    0x1777f142, 0x5891f078, 0xbbc92819, 0xc53a1dbb, 0xd74d05e7, 0xcb28e452, 0x890f57f3, 0x2741ac6d,
+    0x58537a03, 0x4b9e3fd2, 0xcbd59758, 0xe5a87d6c, 0x3b400fe4, 0x6a8e8abe, 0xd6e8837e, 0x265870fa,
+    0xdb6c4813, 0xebbddd7e, 0xeee891b4, 0xe5ff3b9b, 0x0fb01b11, 0x1f8ff236, 0x42e092ba, 0xb646a236,
+    0x87f4be1c, 0x26d8b039, 0x7f12b441, 0xdfe11611, 0xf79ee171, 0x13fe46bc, 0x287c8f9d, 0xf004f922,
+    0x1878abec, 0xaee60b7b, 0xdffdd196, 0xa1424066, 0x2b725c80, 0x6336472e, 0x159248a3, 0x3e2edc72,
+    0x2e92facf, 0x6b078c06, 0xc0c7d9c1, 0xf7012aba, 0x9c2dd8c1, 0x04483aed, 0xfd5c54ed, 0xe1951165,
+    0xee1cf039, 0x01509978, 0xe7ed8683, 0x78c37889, 0xaa5f03fd, 0x8a3dfe40, 0xa81a5164, 0xbca7908e,
+    0x113e5cff, 0x0b4be42d, 0xfb5d7396, 0x74020062, 0x33d3bdc0, 0x0d60a333, 0xedea9af4, 0xefb65f14,
+    0xba7c1fb3, 0x6b309680, 0xbd8e9748, 0xe3f6a0b0, 0x02b5eae6, 0x88e3fabc, 0x1996843f, 0x78f9a033,
+    0x2b292c32, 0x5df4d191, 0x243038a8, 0x9bc83c14, 0x00cce1e0, 0x4f8548f8, 0xaef23f4d, 0x59603184,
+    0xc050428b, 0x4d1ceecc, 0xd127f8ab, 0x3d263cdf, 0x45892178, 0xf0d7ede5, 0x151df6ba, 0x10d0411f,
+    0xe7ae4d43, 0x1c0ba53f, 0x04640049, 0x5d0254d0, 0xa8b7b721, 0xe492739f, 0xead1466c, 0xa604b925,
+    0x95b5ea91, 0xdf51479f, 0x3b1a9e4e, 0x81f900a7, 0x7ad2eabb, 0xa46b30f6, 0xdd527f93, 0xb52f74de,
+    0x8b02712d, 0x846ea74d, 0xc7d847bf, 0x85e87b03, 0x74393707, 0x518ef41d, 0xaea78f67, 0x4936b715,
+    0x18f8e4d1, 0x85a50a9d, 0x1cbfe028, 0x88632b95, 0x9d29797f, 0xb381c584, 0x49c75841, 0x1edf503e,
+    0x3555a347, 0x155db296, 0x76eaa40b, 0x6821259a, 0x4cfb980d, 0xb1db3a29, 0x81562fda, 0x8858bd05,
+    0x963da1e9, 0xc49aaf3a, 0x4004cb8f, 0xcf8a1000, 0xd2bc3403, 0x2cb0f6e2, 0xeb4a1296, 0x9934bf34,
+    0x67fb9b98, 0xfc443352, 0x25691404, 0x10ff78f0, 0xcef4df3a, 0xcb377c59, 0xd0546a9f, 0x00f4f730,
+    0x460fb24c, 0x04eb776f, 0x08661635, 0x39d7bd45, 0x6ea53e32, 0x74b84a7c, 0xd4fb95b3, 0xd4c96d0a,
+    0x9e0a6de6, 0x82c9b1c5, 0x19722a7e, 0xcd1c6607, 0x51e63037, 0xc047090a, 0xf03a02a3, 0xb78a8133,
+    0xf4609675, 0x3f554c71, 0xe852a89f, 0x0560ac9c, 0xb2c4b99a, 0xe7f67496, 0x032bb07d, 0xe4ea08a8,
+    0xc2e6240b, 0x3b7c2da6, 0x83f895df, 0xbf273168, 0x977fb1b9, 0x3d03fbb5, 0x5b2ba324, 0x05d63fe5,
+    0xe4e5f90f, 0x271fbf39, 0xaa2dab7e, 0x16879fd1, 0x0745fd7b, 0x66eed466, 0x707e40cb, 0xd30c093c,
+    0x15d52240, 0x849e569e, 0x7bb22667, 0x0d381acd, 0xfc59ff22, 0x24c72261, 0x3b07c1b8, 0xdd68ee1f,
+    0x4b019261, 0x7cb9ab83, 0xae5d9ad8, 0xb5af66fb, 0xfd797e5b, 0x838f0e37, 0xf008f130, 0x1fe356a9,
+    0x80cd9733, 0xb1bc82de, 0x43516505, 0x4d6ec8c2, 0xcd49de90, 0x5e04b630, 0x5f32721d, 0x51f3925d,
+    0x0935ad05, 0xc4b08201, 0x4f7a2c40, 0x274c098d, 0xf56dd809, 0xff13ff50, 0x4f7827dd, 0x7f41fc34,
+    0xd5dc2b62, 0xeadd3462, 0x443ca1fa, 0x68e94997, 0x4e7cad78, 0x022a5ade, 0xe3074a8a, 0xf49f66a6,
+    0xf3392159, 0xe90b1e4b, 0xc843ee48, 0xd505b632, 0xb2f3b4ee, 0x7d31625b, 0x089a48bc, 0xe5167345,
+    0x95eaf1dd, 0x150e55d5, 0x7a5f218c, 0xdbd73061, 0xc5a59df9, 0x20f6ee33, 0x1b7e23f0, 0x8eb34c8b,
+    0xf853e45a, 0xcaa8c4ff, 0x95568afe, 0xc56e1054, 0x6bb0b3e5, 0xde24c2d5, 0xc9906dff, 0x827ab136,
+    0x4052261b, 0x96a72364, 0x72ce7f4a, 0x4082f6af, 0x08fdec28, 0xc9f5e162, 0xb5a2ecfa, 0xcd802c0d,
+    0xc6a46d23, 0xd78e6784, 0x1913bb0a, 0xd9a9f9e9, 0x472b3073, 0x48ae81d8, 0xa94d68ea, 0x66a2b87f,
+    0x5b7e8556, 0x15fae467, 0x90be45f0, 0xf860f1d7, 0xf838477c, 0x75faac63, 0x7160244d, 0x2ce4dae8,
+    0x916a3a9d, 0xe6578e74, 0xd9634e64, 0x05ade26c, 0x3be641e3, 0x126e0d6f, 0xad537998, 0x7f007ad1,
+    0x4c8c1ddf, 0xe0886e48, 0xe08174c1, 0xd511669f, 0x06c29206, 0xff62e8e8, 0x3295af2a, 0xd4474c50,
+    0x2e7a451b, 0x6758a7d7, 0xa1a821bf, 0xb0901b00, 0xeb50b3ad, 0x54b305dd, 0x2a805890, 0x09c58d10,
+    0x8b39cb09, 0xec31fe90, 0xc7d82eec, 0xe6b0cb8d, 0xde10db48, 0x927fe1a5, 0xa06234a6, 0x2faf5211,
+    0x6e7e0046, 0x11bebba6, 0xba242b54, 0xb24575ad, 0x6b04bc8d, 0x4f84c226, 0xc0ad6687, 0x98b8715d,
+    0xe8558366, 0xbb30622d, 0x8b296a79, 0xa09925f5, 0x3e068faf, 0x9221b4ee, 0x5e1b2110, 0x9b0d0941,
+    0xdeabd1d9, 0x60d62db5, 0xd3474bf7, 0xc46d8b43, 0xb90066e3, 0x41548c65, 0x186d0aea, 0x5d23c0da,
+    0x05a59887, 0x7d7da1b6, 0x0d7826dc, 0x7f0f3ce4, 0xf6d9de2a, 0x50fb315d, 0x1788a8b5, 0x77d924cd,
+    0x452ece36, 0x2dbde542, 0xae3f61b6, 0xfe9d7a04, 0x88f00bb0, 0x6b95679b, 0xb6d57645, 0x9f2770e5,
+    0x8488bcb5, 0x41b2f237, 0xa8d83119, 0x43f4eabc, 0x01c8dea0, 0xfe71270c, 0x944e5e31, 0x2dc21786,
+    0x45a50b65, 0xba1032e4, 0x2ce9ad5f, 0x9e56a0fc, 0x8c688882, 0xe7e326ac, 0x7b8b3878, 0x719badd7,
+    0x7048ab6f, 0x85db4963, 0x7867f26f, 0xb41671ff, 0x37b5d817, 0xafb42c4d, 0xe54c3b3b, 0x0292b1d6,
+    0xc591f9d3, 0x476fd6d1, 0xd3013b90, 0xdfc707bc, 0xbdcd463b, 0x054422f1, 0x328e5068, 0xe8829c50,
+    0x47ff2e57, 0xb2215397, 0xed13676e, 0x4466ed02, 0x2136cb6a, 0xd17f4f1f, 0xea1e70aa, 0x162d33e4,
+    0x348e2ea1, 0x241fc7a7, 0x704bcee4, 0x59a34601, 0xd13903ec, 0x3f858f9d, 0x50be0cd1, 0xafee7729,
+    0xb10b4ea6, 0xfaa572d8, 0xb0b57041, 0x39b10eb6, 0xf915edfa, 0x40b0d85e, 0x870654f5, 0x61a7e4ac,
+    0x47aacb3d, 0x17b9058f, 0x04643293, 0xcb97d28c, 0x37590b5e, 0x8d9ba5bf, 0x4c29093c, 0x09405816,
+    0xda412dc6, 0xecb1e2cf, 0x3ab54c6f, 0xb3770fef, 0x7f7c8a96, 0x4dbb7e98, 0xa94d2d7f, 0xbcf8252f,
+    0x8afc077b, 0x930b7673, 0x66c5b976, 0xd94bb393, 0x20948ecd, 0x9936a711, 0x6a1bf1d1, 0xdd21c646,
+    0x2c0c10d3, 0xa2a7acf6, 0x82ceab8d, 0x2fb92ae9, 0xa76fab69, 0x00f8d86d, 0xa28480ef, 0xa1752bf9,
+    0xb53ddcfd, 0xa6c586f8, 0x61edc4b2, 0xeb6e714c, 0x3329dbd2, 0xec5cff0b, 0xa056bffc, 0x303525a8,
+    0xeecf0070, 0x0e435a5e, 0xd8544f79, 0xf57034da, 0xccb52d91, 0x6e6f4ae3, 0x2e9acc53, 0x14499f73,
+    0x8a7ec793, 0xadf38cf9, 0xdf5d0490, 0x5d81f1b3, 0x8c0b12c8, 0x87841085, 0x854b288b, 0x773430a3,
+    0xca2edc88, 0xd49fb4a4, 0x736369e4, 0x799524fe, 0xac7a2091, 0xc5be90d1, 0x6df416f9, 0x016a2c15,
+    0x2400ce32, 0x6084a351, 0x18ca88da, 0x08eb6009, 0xb3ca90c2, 0x71e129a5, 0xd3e4f3a7, 0x3218d65c,
+    0x47e9b035, 0xbe046767, 0x0b6c0632, 0x33bae974, 0x7eddda03, 0xde0a9b46, 0xcb0ba947, 0x84acc758,
+    0x2901f4c5, 0xf3662147, 0x11d0bb7e, 0x43af272c, 0x61af3ef1, 0xc1db2dd7, 0x8f0d5cc2, 0x3d48b560,
+    0x3fa1ea33, 0x1310a618, 0x1f59dcb5, 0x102db12e, 0x84fe7bcc, 0x81a758c1, 0x776e54d8, 0xbb0e3042,
+    0x5645f922, 0x8e8d1d79, 0x04239499, 0x54766d8c, 0x261ee87c, 0x190414b4, 0x74f3e769, 0x12370603,
+    0xab5d0638, 0xa8ecaadb, 0xe30641c1, 0xd811d507, 0x54dd2130, 0x009865ac, 0x0a23c9b7, 0xd5c5e97b,
+    0xa7832be7, 0x6feeed35, 0x569ecb2d, 0x43e1b6a7, 0x5b935eee, 0x8c9e103a, 0xb53c0934, 0x67f74e44,
+    0x9b7268d2, 0xe10e22a8, 0x8048d10b, 0x82f7324b, 0xea1121e7, 0xa9a27b46, 0x82ba6abb, 0x2406db1d,
+    0x91603bb9, 0x43c807e2, 0x54bd08bb, 0xf24b3841, 0x42fd3097, 0x93832aac, 0x8602253f, 0x71d8c315,
+    0x7b9570a0, 0xd6704d81, 0x36cd05c1, 0xc9a57a16, 0xf2a4c925, 0xf7ea5fd6, 0x7b1a6030, 0x343c813e,
+    0x5c8036d7, 0x676db68f, 0x6683fa69, 0x240cf221, 0x84f1bca7, 0x12104b8c, 0x0f15b092, 0xd2922a83,
+    0x54c89a17, 0xd905e130, 0xf1a8479b, 0xf2c46d6c, 0x9232b127, 0x5d55fa20, 0x05fb3ed1, 0x85df2f11,
+    0xc45f3d4c, 0xbed487fb, 0x0d33236a, 0x4aca2852, 0x5488ccc7, 0x340d375e, 0x2c3bf707, 0x4c9898b0,
+    0x304095f2, 0x3d17f65d, 0x4fe24185, 0xedb0b714, 0x2494e6b7, 0x0637181c, 0x5c704611, 0xa545b588,
+    0xa089ddb4, 0x6210da29, 0xb7b034bf, 0x7c2baa93, 0x350d649c, 0x2d5e5ccb, 0xc8349d95, 0xda165aa9,
+    0x3952f38c, 0x484787da, 0x49270abd, 0x57d200f4, 0x5c07c864, 0x4d37063b, 0xd2f2d984, 0xef69ea6b,
+    0x2d9e91d5, 0xd55daf36, 0x7c0a4fe4, 0xc0f3b429, 0x42cc182b, 0x353464d9, 0x366abe00, 0x1ea4ba2b,
+    0x4c2548ab, 0x0fd780ec, 0xe5338ccd, 0x336782ba, 0xba8d98ab, 0xaa2a6b56, 0x37bbc845, 0x4fb1f731,
+    0x7b49b2a6, 0xcaff9700, 0xbc05a59a, 0x03ae5d34, 0x47d0bfb4, 0x229566be, 0x2099dbf3, 0xc51d62d6,
+    0x9726379d, 0xb24e4d0a, 0x1d6689ce, 0x6dafc247, 0xa3ca3283, 0x1638eae3, 0xfac1cd29, 0xb9506156,
+    0x60b8ded0, 0xe29551ec, 0xbd120ba1, 0xce7db46e, 0xa69ba0b2, 0xeac4131b, 0x3e5bca13, 0xdc0e5c81,
+    0x8c24b58c, 0x43a6bdee, 0x85d78fd3, 0x8e0026de, 0x480c4c39, 0x79abfbbb, 0xa94739f0, 0x8121eed4,
+    0x4208263a, 0x6a1fe3b8, 0xdaad77f9, 0x4c548c4d, 0x4f69fda3, 0x05f821dc, 0x9ec79f6c, 0xed16bd8e,
+    0x61b392ae, 0xdd1d6c22, 0x37302d33, 0xec848056, 0x0fbe6f6e, 0x43844998, 0xbe978a41, 0xe0ee8c59,
+    0x085fb7a4, 0x9aae8791, 0x5a247626, 0xb14afb72, 0x6bb17635, 0xd4c3da8b, 0xf33db04d, 0x0e6483fa,
+    0xc00ebf80, 0x18e8d090, 0xce5171ac, 0x58aba7a0, 0x677bf337, 0xd8541b55, 0xa14f1b33, 0x813196b5,
+    0x00000000,
+    0x6865c8e9, 0xfe56cb0f, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000036028797018963968 */
+  { 0x00000000,
+    0x11bf0b51, 0x82b80484, 0xf8445b0c, 0x31e495fc, 0x1ff044c6, 0x8bf7b6e8, 0xbe918af7, 0x819a2333,
+    0x2acc4b42, 0x1562aa66, 0x6c3a68fa, 0xab2a9da5, 0x4cb05681, 0x274c65cd, 0x06b21642, 0xccf85e4b,
+    0x00a051e7, 0x936b47dd, 0x2923b118, 0x4234b7bd, 0x7d62eede, 0xa738a46e, 0x98745b51, 0xb2c7a5c5,
+    0x767dee65, 0x6ba83662, 0x942d9299, 0xd40e9c8c, 0xaecbfc3c, 0x950eb104, 0xcdd34500, 0x6216c097,
+    0xdd1bd2d3, 0xcdbef637, 0x8b5c87cb, 0x57902970, 0x16b9372c, 0x7fa7261e, 0x8367d75a, 0x1130006e,
+    0xd8d37146, 0x6cb70798, 0x51e07414, 0xbea4dfbd, 0x7c62f96c, 0x7dae9be6, 0x91e58952, 0xe75dd0af,
+    0x631b950d, 0xc6639484, 0x6a05c9d5, 0xc1ae9c6f, 0x03e33e2a, 0x33d2db40, 0x77023496, 0xb6a047af,
+    0x41eb8880, 0xfbde0af7, 0x8c9df1b9, 0x6825c48d, 0x53570400, 0xd6af5aa9, 0x9c2fd39b, 0x34b46ba1,
+    0xae0cca9a, 0x653d7383, 0xaef14b9d, 0xfe66ee26, 0x67bc4732, 0x61cbf364, 0xc96fc0ca, 0xb4fe52b1,
+    0xa2784acd, 0x63c99a3d, 0x737dd047, 0x533caa27, 0xf146f345, 0x618a31ab, 0x18a7d7aa, 0x9bdc0296,
+    0xdc71c7a5, 0x4e73ad25, 0xe8acfc44, 0x381f1355, 0x4974f8d8, 0xdacea562, 0xef24bf36, 0xbf6dab31,
+    0xf352215e, 0x9aa5ce15, 0xdcf994e0, 0x0b2dd3ae, 0x042e1b09, 0xb1a41304, 0x2746ce92, 0xecd822fb,
+    0xa414aed2, 0xd1b37b0e, 0xd4046f0e, 0x90443ea2, 0x9bc4d95b, 0x95d2b874, 0x3ec500e9, 0x2341438f,
+    0xdcd26275, 0x3b45bd6b, 0x6fe598ac, 0xd9e16656, 0xa7bbaaaf, 0x64a364d0, 0x8dbeb180, 0xd0ef1374,
+    0x7b7bc0f8, 0xcf94499b, 0x86cd20c4, 0xcd99ea19, 0x0ee3b6c0, 0x5c5f2c6c, 0xce827bf8, 0xd4db6a9e,
+    0x655a0850, 0xf223f8d5, 0xedb1d226, 0x2c366345, 0xa32ba253, 0xc5ed3387, 0xc1aa22f7, 0x7b34aca8,
+    0x84329c87, 0x11aa3b04, 0x0be9726e, 0x8996b17e, 0x707fa1e3, 0xce97f63d, 0xe276089d, 0x5d080756,
+    0xe00cf490, 0x16211a4c, 0x8561f6a7, 0x4cb09399, 0xf82d7894, 0x1124db97, 0xae6a01ce, 0xf5f70beb,
+    0x9b2cad1e, 0x72689c75, 0x0784781f, 0x3c70c101, 0x08ece1f4, 0x1421df21, 0xebe7e050, 0xfebc4334,
+    0xf6f986f8, 0x796c213f, 0x40a5344a, 0xe7c832a7, 0x2611abc8, 0x2fa4d3ad, 0x7967f285, 0x746e6005,
+    0xda13cbcb, 0x7bdf7213, 0x56709203, 0xc9bed375, 0xb241fb4a, 0x7b56174e, 0x188a78e5, 0x7a0f3ab3,
+    0x03e8ec88, 0x1ddd59ea, 0x01236dda, 0xf3de0ceb, 0xd44487cd, 0xf7280e81, 0x2e5e6e43, 0x0b83e388,
+    0xdf66d0cf, 0x219b6f50, 0x92ba870b, 0x84b6d608, 0xdccdebb8, 0xdf260ce6, 0xbdae8b1d, 0xa4e0dc89,
+    0x38823636, 0x483e210e, 0xd9bd5ba6, 0xbe243d02, 0x14021f38, 0xe13b3438, 0x3b98d237, 0x56120595,
+    0xa168986b, 0x0be515e1, 0x9d0c5932, 0xfedd02f9, 0x8070d5e7, 0x58ed968d, 0x5ab59385, 0xe4a0ac13,
+    0xc41de4de, 0x14db747b, 0x0e3f1383, 0x39386930, 0xd19a52e8, 0x5ea47709, 0xefbebb60, 0x4fb112e0,
+    0xb10b072a, 0x2705314b, 0xdadb7c97, 0x19c32fa0, 0x80b35b06, 0xa4c12865, 0x28753d69, 0xfabff006,
+    0x0519277c, 0x5e2df029, 0xff3423a8, 0x80977f13, 0x9ec0b3eb, 0x14cfbeb7, 0xdb3f80e1, 0xf3c38dd1,
+    0x4bef3eb4, 0x3dfbeec4, 0xd7721c36, 0x858befcb, 0xe1464f69, 0xb77baee6, 0xcc99d3b5, 0xbbce1fcc,
+    0xb0d0d475, 0xbe5e5c1b, 0xb0c89a23, 0xa92fc335, 0x6f26b652, 0x8fa6ed3d, 0x1ac22fd9, 0xfece2232,
+    0x0613fe5b, 0x57731ab9, 0x626d26a5, 0x55aca07e, 0xce8bff46, 0x2fc215f0, 0x01744661, 0x86f23bfd,
+    0x1dafaa52, 0x4c448e61, 0x0bb4f4ae, 0x405d123a, 0x0aefa561, 0x591c1fa0, 0xa2b8ea1b, 0x83a3c7a7,
+    0xe5beafb2, 0x3cb61f5a, 0x65d23082, 0xfff19d57, 0x2398719c, 0x99f5a7b7, 0xb76a1479, 0xec2caaf6,
+    0xee969aa3, 0x869ec301, 0x00755fc2, 0x5015604f, 0x4064bc72, 0x66bcafdd, 0x89a3d2c0, 0x772e846c,
+    0x2a2c8b40, 0x27395983, 0xb6f26714, 0x14b95a2b, 0x2e7ae1ea, 0x1ac46bc3, 0x181482d1, 0x2c43e9c4,
+    0x325cd4e5, 0x6601c43e, 0xbda671ba, 0xd7855e40, 0xa8911c2b, 0x8ddc3d34, 0x3f87b5a8, 0x3dee2ce5,
+    0xcfe1c7b7, 0x1f911fae, 0xad4e619d, 0xd85558f7, 0xd5988967, 0x7efa8393, 0xea499c8c, 0x3153d362,
+    0xe199ee79, 0x2e1db30f, 0x535c2d05, 0xc3103dbd, 0x2540e992, 0x9568c577, 0x5add98e1, 0x8043742a,
+    0x7bc71098, 0x778ee2c0, 0x0311d4f9, 0x4edf8d4d, 0x587d1b4d, 0x4fa30670, 0xc6f200af, 0x2a510e51,
+    0xa22a034e, 0x6a4d4ada, 0xa8afb18c, 0x1b572e04, 0xa7c8f469, 0x4a7ee5b9, 0x16f98e74, 0xcfada955,
+    0x7a75571a, 0x6cb89f74, 0x2a2795fa, 0xe95ef6eb, 0x9e4e47da, 0xeb7f2ac7, 0x07228a86, 0xd66e747b,
+    0x7114ab65, 0x237b4073, 0x9401aab3, 0x3dfd85b5, 0x2c8d6011, 0xbe04b4a9, 0x8271a5c2, 0x8da1485e,
+    0x9ac3ea7f, 0x56803912, 0x9ebb95db, 0xb3d9125f, 0x02dd7025, 0xa5eb449f, 0x7dfd359d, 0x30bd4a65,
+    0x658c55a3, 0x27b3e35f, 0xd559eac4, 0xe9bb111c, 0xe431c8e3, 0xf2970492, 0xf0023ca2, 0xed6df53d,
+    0xf1d2877b, 0x8377d4fa, 0xb92e325f, 0x26cca461, 0x835c7b8c, 0x002da75a, 0xdd505bc1, 0x020c86dd,
+    0xcf75884f, 0xe156781d, 0xeb883832, 0xd6413b8d, 0xdbf11c08, 0xd9e4e211, 0x17bc4a34, 0x927487c4,
+    0x97621f5a, 0x61822c5a, 0x58a70697, 0x01c32b83, 0x92580d6b, 0x78304bcc, 0x6b8dba81, 0x4b4ad737,
+    0x6a705b4b, 0xc6fcedd0, 0xa2f81cb9, 0xfd8b49d6, 0x899ee10e, 0xb04c2c20, 0xff118cc6, 0x88d745eb,
+    0x0e4fab25, 0x8ba63346, 0x794b088c, 0x14edc5bc, 0x04aa6b83, 0x302b567b, 0xc2bc76b7, 0xd97890d6,
+    0x471c0c0d, 0x5ebc3363, 0xbffa1abc, 0xe84aea0b, 0x94fdef7d, 0xedcd59e4, 0x5ae556b8, 0x7225e3fa,
+    0x68cbe10b, 0x62bb3159, 0x48323916, 0x3b5ba884, 0xb77713f3, 0x396a34d9, 0x191e271a, 0x9587848f,
+    0x743d974b, 0x9e1cd623, 0x14748eca, 0xb02d8158, 0x2fca4dd8, 0x997eb21a, 0x80eb7d2a, 0xf4610859,
+    0xfa3468ae, 0x503850ca, 0x6a4ad7a7, 0x7d2fc299, 0x2f3f7493, 0xd7d00b1c, 0x8562f0b3, 0x15087c35,
+    0x4a129808, 0x286573d9, 0x0a8973af, 0xa08d66f4, 0x8b5bd35b, 0x74ad0979, 0x72cc4b27, 0x006e7992,
+    0x14436526, 0x27c9a747, 0x811732f4, 0x664668c2, 0x9eca7381, 0xd198b9c8, 0xc3ae28ce, 0x4ab9eaf3,
+    0x89694df7, 0x19f6b448, 0x88b765a9, 0x7285018a, 0x1ce3bf71, 0xa6f0ff69, 0xb7d51a6d, 0x10de8af2,
+    0x4e0825b7, 0x3021f64f, 0x8cd737c1, 0x4d88326c, 0x6a76cee2, 0xf879162b, 0xdbb077d4, 0xe4e7b65b,
+    0x56938495, 0x74c5bb8c, 0x4b71792a, 0xa7da4574, 0x72ea1557, 0x1495ab8e, 0x2c2b1ceb, 0x06c2b83b,
+    0x4d74c0a0, 0xdbb3f305, 0x1e9f831e, 0x857cd0b0, 0x97fc6703, 0x93be9baa, 0x0426c5f6, 0x1ac99db6,
+    0xc88be2cc, 0x8eeaac38, 0xf39f00ee, 0x7253531d, 0x7089f777, 0x683538ef, 0xc87f9f81, 0xbc7ebcd7,
+    0xb621b827, 0x9f2637c3, 0xbcd4c132, 0x1cb984f2, 0xf6b3b8d3, 0x346ea1da, 0x010d780d, 0x498cf2ae,
+    0x1cb8eefe, 0x11f7869a, 0x9d3a91ec, 0xf35adbe3, 0xfbac066d, 0xce636c0b, 0x05953a90, 0xc56534e3,
+    0x49f7217c, 0x6b08e6e2, 0x91a306e4, 0xa435d636, 0x18c0e897, 0x237ac47e, 0x72c02510, 0x20bf58c7,
+    0xdb600e9f, 0x5efe21fc, 0xa78baa17, 0x2a088d16, 0x5b9a31db, 0xbce02f6c, 0xc98dac0e, 0xac149f30,
+    0x5b5968e8, 0xe49d3131, 0xc43ba25a, 0xdb0a4eb4, 0x1c48cee9, 0x3c95169b, 0x7efcaa01, 0xbd86a3e9,
+    0xa6d384cd, 0x1a21f157, 0x60115338, 0x4020a9c5, 0x8e2e5628, 0x338e775c, 0x77c6e6a2, 0xef63a2b8,
+    0x2cf737e6, 0xddf81de8, 0x4bdeae06, 0x1aa0747a, 0x32d7af4b, 0xd08a63da, 0xc0d302c4, 0x6b80a24d,
+    0xc6779d71, 0x67403928, 0xb2f17a00, 0x1a459127, 0xc5e77adf, 0xc1c4b9c5, 0x772bc18a, 0x5ddbf070,
+    0x6cea64da, 0x84589910, 0x7babeb6c, 0x41803ad2, 0x42dcba2d, 0x956e319a, 0x5c4dfe62, 0xdb381c51,
+    0xb1aca220, 0x0f9c86eb, 0x4139ce9a, 0x8618fbf6, 0x425b6cc8, 0xa7d8e105, 0x757991e3, 0x8f194657,
+    0xd5c4ab5f, 0xdb73bbf0, 0x31bd29a6, 0x23da75d1, 0x8523946f, 0xc2abb355, 0x2649ab61, 0xd593021f,
+    0xc6e91817, 0x215bd5a5, 0xc6de3a42, 0xb595fe06, 0xd97c956e, 0x4697ebae, 0x69d85d78, 0x568df306,
+    0x33cec0f3, 0xf7fa5017, 0x995d2d3e, 0xe620f0dc, 0xa4b7151f, 0x691112c9, 0x15deaeb9, 0x41f5a789,
+    0xd7880e98, 0xa5d3504b, 0xb1e58cfe, 0x761fc546, 0xeb0ec83e, 0xfe0f69fb, 0xafa025b9, 0x76779c3e,
+    0xe2a4812a, 0xb7442e0b, 0x030cef94, 0x3082cb6f, 0xc3af121d, 0xcd60417f, 0x9ac72130, 0x73eca360,
+    0xb0e6f1b6, 0x344a8762, 0x0a6a44c7, 0x37c28bb1, 0x55424d8f, 0x213d1dcc, 0x531df3ae, 0x03fa6929,
+    0x32157725, 0x40043f52, 0x90b37563, 0x1e00c3ed, 0xb9832c03, 0xa7854a53, 0x39e2aa60, 0x28863a6e,
+    0x1e27f48d, 0x168d693d, 0x1f71a7e0, 0x7b246586, 0x9b2b96f7, 0x3049c154, 0xab933c27, 0xa73b3b35,
+    0x785a7b5d, 0x9a802743, 0x1e91b943, 0x0ca32752, 0x0de3d6b9, 0x47818451, 0x89f134b6, 0xdf0d691b,
+    0xdd752891, 0x9f76431f, 0x43737d74, 0x6b6f9c61, 0xa70f1e2f, 0x1d4288fc, 0x06071f19, 0x33488241,
+    0x3e89fed2, 0xc5cb0e11, 0x1e704238, 0x43b1e883, 0xce81e986, 0x01ccbd44, 0xf268b4c1, 0xc7a33705,
+    0xe70da140, 0x9f3b1c48, 0x80ce1360, 0x7f02b327, 0x8dff0308, 0x7d1cf1c1, 0x4d06aad9, 0x449cca82,
+    0x08bc0686, 0xe7a5b1f9, 0x3ccbf34a, 0x5d7f69f3, 0x14cd4056, 0x938d5e4a, 0x8296611a, 0xcf2f8189,
+    0x3d88c069, 0x903a3d84, 0x0fd85da0, 0xce4de7fe, 0x2331b3e7, 0xdca26cae, 0x861ae9cb, 0xaba12832,
+    0x8056a90c, 0xa25eecc4, 0x834487f5, 0x709a9c15, 0x49d4c7d0, 0x1b4b9823, 0xaaa9fd45, 0xd3756452,
+    0xce82405c, 0x7f8eaf37, 0x9e0d7f4c, 0xbb917464, 0x1019fa30, 0x7de538cc, 0xc0c01bd4, 0x6c2f6f6a,
+    0xf61f0732, 0xe8372328, 0x6e0d515c, 0x7ad494c3, 0xbde8963f, 0x43d28008, 0x6f23b6a3, 0x9e08c971,
+    0xb11768bf, 0x0b07ea11, 0x1265e91a, 0x111e4311, 0x402ad682, 0x107bc6f2, 0x912467f2, 0x6804e33d,
+    0x1558a0ef, 0xe879d5e3, 0x95953d97, 0xeb9b2618, 0xd8e89ac7, 0xf6405ebd, 0xa06f4ff9, 0xc4cc2886,
+    0x35bd731d, 0x16fc39d8, 0xd29c7e12, 0xd2cbd876, 0x4bfdfb83, 0xa92b2683, 0xbfd076fc, 0x7ac3aa56,
+    0x53aa0268, 0x525e992c, 0x7bd635a2, 0xebb26088, 0x41160e0e, 0x726e6ac7, 0x1e50b8bc, 0xe97da4f5,
+    0x8a90cf58, 0x2528bde0, 0x226567e7, 0x012bc63b, 0x0c7dde89, 0xfdfdb916, 0xec7d9046, 0xcb06a44d,
+    0x3242ce15, 0x498dee7b, 0xcd27cd22, 0xfaf7cedd, 0x4f28663c, 0x9efbd54b, 0xbbe0bce4, 0x4162ceba,
+    0xc2ee3c2b, 0xce3b24f0, 0x6bdf4431, 0x5416bda8, 0xa87f96e2, 0x5136f58b, 0x674e4ec8, 0x79d4a3ec,
+    0x8e576d05, 0x7fe83c7e, 0xb8f041f7, 0x808c9974, 0xa882914b, 0x59ce4101, 0x0d81ec69, 0x63ce8255,
+    0x02e347ba, 0x98fa5862, 0xe78a4ec6, 0x422ea11f, 0x5ccbe107, 0x7a2fd14a, 0xe74d2f3f, 0x566e00f0,
+    0x0c28d5ae, 0x54040d45, 0x96a15614, 0x9763f059, 0x9c8c25ef, 0xc774ec0c, 0xf9c6d94a, 0x5473091e,
+    0xedbbd01d, 0x1524c252, 0x105b3c28, 0x76b17034, 0x16e682f3, 0xfac5904c, 0xbe94176c, 0x1c3b4a69,
+    0x46494e7f, 0x90c165f2, 0x949025fd, 0x942dcd30, 0x4d2da67a, 0x9658a986, 0x994dd732, 0x629873b1,
+    0xff759fc0, 0xebc249ac, 0x41b59ad8, 0x8cf042bc, 0xa13c27de, 0xe7dc5a06, 0xfe6ce3c5, 0xff870514,
+    0x207775b1, 0xc79fb441, 0xdfc3f3bb, 0xd87df59d, 0x3167b848, 0x6097f53a, 0x29b82218, 0x9d2b009c,
+    0xd85da615, 0xdc0b098c, 0x2a839f84, 0xe04d109d, 0x23c0e167, 0x4abaed4f, 0x15188d6e, 0xd4c05c7e,
+    0x37a06dd6, 0xfb2256f7, 0xc4293200, 0xae0c90f4, 0xef42a764, 0x89be8730, 0x530a6ab0, 0xb0144c39,
+    0xd45ce05d, 0x0a540d2f, 0x1d21fe59, 0x1add3425, 0x09d0858f, 0x396c4f2d, 0x5b67253c, 0x0eace69f,
+    0xc7dfd05e, 0x0ffaf772, 0x7fbd7ff5, 0x04b78349, 0x912fb6fa, 0x851a1508, 0x56235f1d, 0x2686ffe8,
+    0xee999c9d, 0xde3396e6, 0x333a030c, 0x19fee62b, 0xbb2be75a, 0xf66e4753, 0x37e34a4d, 0xa3a62890,
+    0x9d588d3d, 0xc48e610b, 0x9dcc81b7, 0xccf2526b, 0xccb4501d, 0x9b6a49ca, 0x770e469e, 0x9b197016,
+    0x52d3df38, 0x8badf184, 0x8cec847e, 0x1aaa542a, 0xf7557b5c, 0x7ab343db, 0xc26e5b30, 0xf2329c58,
+    0x43c2f40a, 0xe1be104f, 0x18dd14c5, 0x62338d54, 0x2530aeb0, 0x012ca848, 0x9cfc187e, 0xca4ff6f8,
+    0xddc46ec1, 0x2a2a0c94, 0x715049ba, 0x47eaa756, 0x4570f452, 0xf335e540, 0xe542c931, 0x2bbb9503,
+    0x01bfe193, 0xbc8e3e3e, 0xa0f4cad2, 0xe965e38a, 0x6d62e081, 0x671511b8, 0xd55bf3d2, 0xbbf42485,
+    0xbb89be57, 0xf96e7197, 0x5fb3656f, 0x5e75287e, 0x39dbd318, 0x5705d91c, 0x684af71a, 0x6fc56886,
+    0xbf314058, 0x93ab7b35, 0x09e2e50e, 0x98cbb8a4, 0x2a9e2023, 0x54a4354b, 0xa7df594e, 0xf28a139d,
+    0xb4b3defa, 0x28943c6a, 0x1d9f74e1, 0xf3105c81, 0x863d2aec, 0x61e334fa, 0x9771aadb, 0x3c1ef219,
+    0x8be05147, 0x6545b837, 0x6bc23c1c, 0x89393119, 0x30449868, 0xb7c3b613, 0xcc4b4dc7, 0x9c1f5611,
+    0x6fd42e7f, 0x365b17a1, 0xe3e5edad, 0xbfaecf63, 0x43bcba66, 0x80caf3d9, 0xa2d96973, 0xdfd7bd79,
+    0x78c3a336, 0xdddf6e6c, 0x03e70820, 0xb7a6f1e6, 0xa8a90697, 0x0ddb45c5, 0x79c5985b, 0xf4ace4b8,
+    0x74411697, 0xc2111f53, 0x5e507d03, 0xba3986f4, 0x2a35905e, 0x419c5235, 0x836d9cd2, 0x11a2955f,
+    0xde1948f4, 0xe101adb1, 0x80464bb3, 0x928a4071, 0xe4838515, 0xf8a9ac24, 0x6932d9fd, 0x9b186b72,
+    0xb2576aae, 0x121f66c7, 0xbe28c1d6, 0x97d52b6e, 0x187a4463, 0xbcf74cf8, 0x5efd5384, 0x18079b4c,
+    0x9ba74bf8, 0x18911560, 0xd351fc21, 0x9e5b4499, 0x4a366511, 0xb56833ae, 0xa934176b, 0x3d065480,
+    0x15146199, 0x688f267e, 0xcb74d520, 0x1d6cffa6, 0x15696679, 0xb3b65b5e, 0xf1e540f1, 0xb983317d,
+    0xf41e4afd, 0xfd74aad7, 0xe5c79630, 0x4f800e0b, 0x9201ef7e, 0x75702bbf, 0x15c4de35, 0x1233e946,
+    0x6282043a, 0x1041875b, 0x592960a1, 0xb14a8b3b, 0x84a9e8e4, 0x60db3fa2, 0x1fdc8587, 0xff8ce155,
+    0x601f5dc2, 0xe25f0ed3, 0xbadaf655, 0xea024698, 0x9d12640b, 0x7f5ab647, 0x0c2cbe0d, 0xe6b6d518,
+    0x2057b0e6, 0x8ced04d2, 0x1dfe9dee, 0x59ad7724, 0x9fbdd196, 0x6ed8aa5d, 0xee49eea9, 0x80987094,
+    0x00000000,
+    0xb432e474, 0xff2b6587, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000018014398509481984 */
+  { 0x00000000,
+    0xc64215ae, 0xfbbb6c2e, 0xcfb8daac, 0x9162bca6, 0x12e882a2, 0x11d33326, 0x49b37acd, 0x31e49060,
+    0x20bb3cbd, 0xa82ac77c, 0xe0141225, 0x32d59115, 0x8787041e, 0x8a010cb2, 0x6c73259e, 0x72ad45cf,
+    0x4483fda0, 0x8615af59, 0xa6c20645, 0x624254af, 0x84192e09, 0xb35b72ca, 0x7bc05411, 0x624cd792,
+    0x39d8c40a, 0xa9e23998, 0x520990fe, 0x6b670718, 0x2901036f, 0x456859ec, 0xcf28b7cc, 0x861e21f0,
+    0x54dcce14, 0x9b3eb5cb, 0x2a3d2841, 0xf53d93cc, 0x1310e3e8, 0xf9c0af21, 0x397c8a96, 0x7837da4f,
+    0x7e9623cc, 0xef926a36, 0x5b7b410c, 0x19b956ad, 0xa13b13e0, 0x5ec00269, 0x40a9ebea, 0xb47a7af1,
+    0xba72f585, 0x8875ac97, 0xc78685ad, 0x87bfcfab, 0x19fe8e16, 0x7a6fa3bb, 0xe9c64072, 0xc88fcbff,
+    0x7bd39819, 0x321ea2fb, 0xc4ee60dc, 0x5ab85610, 0x885805c0, 0xdedbc8cd, 0xac89b892, 0xbf6a18a7,
+    0x9963ca85, 0x39aa1db8, 0xe1a6f591, 0x50ea67c9, 0x0a913940, 0xca34d306, 0x0baae38d, 0xf79117cc,
+    0x2af1f1f5, 0x43638e40, 0x064098ec, 0xbdf70cdc, 0x46b904ab, 0xe9ff6941, 0xfbb61a0d, 0x470dbfab,
+    0xa58d03f8, 0x2559628f, 0x70e05d9a, 0x21e46ad5, 0x079ecbcc, 0x8546f48e, 0xdd2052b1, 0xcce00c2d,
+    0x8ef5527c, 0x3b688645, 0x92d98984, 0x42768077, 0x0261f396, 0xdbec73ed, 0x81594190, 0x79edb0f0,
+    0x3cdd0370, 0x6fb2fa33, 0x7eaec425, 0x7802a218, 0xe7f1dff5, 0x97c5c5f3, 0xbf41cd51, 0xce323826,
+    0x2d83c44c, 0xf6909a0e, 0x1db17f94, 0x985d5a08, 0x4a972fcc, 0xb74228c3, 0x0d1bac4a, 0x834521ea,
+    0x03dea25e, 0x76a7d1d9, 0x81c5612b, 0x7e5eb533, 0xa990a3a2, 0x084ccd41, 0x983181b4, 0xbed13a08,
+    0x7987259d, 0x9bcc30cc, 0x1d1f3077, 0x55be1273, 0xc8388a18, 0x6cd5e471, 0xed650608, 0xc75f8f03,
+    0xcdc54ce4, 0x6ae55e4f, 0xe71681a3, 0xda6b69ba, 0xf4a2bfab, 0x54673c75, 0xe8b460a1, 0x0bfe8be6,
+    0xb4bef7fe, 0xebd34c6f, 0x8da08f63, 0x7c9719b8, 0x06415a9f, 0xbb197bc8, 0x8b4b1d00, 0xd470006f,
+    0x9eda0d43, 0x59cddd2c, 0xf2d87ff9, 0x6d178991, 0xcc195d3e, 0x7fd7a30c, 0xa6ca7cd0, 0x03324fbe,
+    0xa37c34dc, 0x94a79d81, 0xf7838918, 0x16585120, 0x5c77d8a1, 0x073b615d, 0x07f01ec1, 0x9ad9cb28,
+    0x99d9a641, 0x8542e24e, 0x440865e6, 0xf62d81b2, 0x2515c62d, 0x434fdccc, 0xe1dec822, 0x4e10c3e9,
+    0xc6a873af, 0xe621dfc3, 0xe69ae045, 0xc3a60c91, 0x491f42b0, 0xc84c05e8, 0x903a146a, 0x7c7b812d,
+    0x35d9015a, 0xd6c25795, 0x8f466a3a, 0xe9346cca, 0x209fc054, 0xfe33cadb, 0xe59504d9, 0x6f509100,
+    0x928e2895, 0x7ab1abf3, 0x97380d9f, 0x8710089f, 0x7444b21c, 0x9a4c697e, 0xa4f3d48b, 0x1987ce79,
+    0xddb44d50, 0x083e03bc, 0x63a63319, 0x8608f815, 0x93347774, 0xef6d0e15, 0x2bc0dd66, 0x2376547e,
+    0xe682e910, 0x06c6b66b, 0x67b3f500, 0xf511db55, 0xc81460f2, 0x21519017, 0xcd678bc1, 0xbf751481,
+    0x7fc1b014, 0x9bd59827, 0x3e2ed2a1, 0xa4de9423, 0x8bfc5f4d, 0x3df57b3f, 0x4030fdc5, 0x6ae222d0,
+    0x9c1b3814, 0x97696253, 0x1ed00eb8, 0xdcb3b4f8, 0x976db046, 0x4972e9e0, 0x1b819fb5, 0xd31647a4,
+    0x92338d3f, 0xc7f269c9, 0xf49d6881, 0x014d8e13, 0xc21704ae, 0x9d7efcdd, 0xaf110f2b, 0xef818ea4,
+    0x5ace2c76, 0x2302ea6d, 0x72533793, 0x8f17cc4f, 0xf2e73ffb, 0x478743f1, 0xf1ad4bbf, 0x21bf4493,
+    0xcfdf5e70, 0x842c1dfe, 0x085c04d2, 0x9a85ac49, 0x00eda340, 0x7fc2c940, 0x4640c788, 0x65ba5499,
+    0x86cfa0b8, 0xa8d13149, 0x13330115, 0xcfa1c6e9, 0x598a7123, 0x5e680b64, 0x556de3ce, 0x72f2c9f7,
+    0xdb8b3233, 0x8ab7878c, 0x86c7f990, 0xcd35d373, 0x8ebd13e3, 0xcc161717, 0x3bc9e4ac, 0xc00d4ab7,
+    0x856dd986, 0xfbdda80a, 0x0b4a3bea, 0x121b44ad, 0xbb5f332a, 0xe2d645ad, 0x97060540, 0x0cd20fa2,
+    0x6bece29b, 0xfca60c8d, 0xdb2666db, 0x2d817e44, 0x5feb20b0, 0x8b585fa6, 0x433dca23, 0x8e22db78,
+    0x35ec0647, 0x5575aa65, 0xf522dd22, 0xa78cdc01, 0x8397d59f, 0x04bf86e5, 0x0f97e2e6, 0xafbb2e12,
+    0x614ff0be, 0x7b359c68, 0x50d5222a, 0x7b1318d0, 0x4ff3c8ec, 0x149e8efb, 0x0ee9e815, 0x31b925ee,
+    0xcb72f14b, 0x8ebbd899, 0x8c39ec8b, 0x5d514fba, 0x04165f63, 0xa3d64537, 0x77e75628, 0x59d348e5,
+    0xbd5a2635, 0x6e258968, 0x50c12191, 0x71a94757, 0x5ebbf73b, 0x9d47d7e7, 0x4c42accb, 0xe10926e7,
+    0x2e443132, 0xf84ae2fd, 0x089ccb47, 0x7cecba96, 0xc9f873eb, 0xb1447d63, 0x6b4cc8aa, 0x3bb20b41,
+    0x1e7ee400, 0x55dbe19d, 0xe4ba00b6, 0x9ec982ac, 0x3efa2489, 0x0f94c455, 0xb6c37011, 0x1554c70d,
+    0x9f0fb3ed, 0xf8c94658, 0x34268bd1, 0x8c275a50, 0xeb283856, 0x7c8b94aa, 0xf2aa3f51, 0xff433e93,
+    0x11ef02f9, 0xe9044c89, 0x9922f7a6, 0xd87d68ec, 0xc5c18d24, 0x75b53231, 0x1e419c1e, 0x9d3d3007,
+    0x8fb4a061, 0xc34f3d55, 0x8b353b33, 0xa1c03534, 0x4767caca, 0xe5401142, 0x2cd2e25f, 0xdaa84654,
+    0xffe28959, 0xa14ea8dd, 0xe341dc42, 0xba9af56f, 0x0a030cbe, 0x7096a288, 0xb50673d8, 0xd294bff1,
+    0xef397b04, 0xdf9b8ca9, 0xfeba8558, 0x163f31ec, 0xbe0c503f, 0xd6149488, 0x55a8ffbf, 0x61b97a15,
+    0x51e70fc9, 0x2544a6b1, 0x6cd73d30, 0xbed447d0, 0xdac5ed54, 0xed889df8, 0xc53bd412, 0x48a490e2,
+    0xca3cabcb, 0xb44ae0bf, 0x8e42984e, 0xe6839a9f, 0xcd6bc2ed, 0x0c0d9683, 0x188747fe, 0xa806cfad,
+    0xb09e15ac, 0x9310ad6a, 0xb15da684, 0x8b22812e, 0xad2b7fb5, 0xbf64f001, 0xce7a8fbe, 0x557954ca,
+    0xcd1fcb96, 0x769a5305, 0x3f3e12a0, 0x0985e0e5, 0xdfcd1789, 0xc43f7b86, 0xe22a8a64, 0x2380e78b,
+    0xa09dc8b1, 0xfb5e2a6b, 0xfcbfdd3f, 0xfb7cda62, 0xce63832a, 0x6aabd155, 0x45089169, 0xcca99a2a,
+    0xe9b73ac9, 0x74bfdece, 0x311a6654, 0x82d6dca0, 0x31bbb827, 0x31425f37, 0x7e01039f, 0x4997873e,
+    0xefd1e3fc, 0x4038eb17, 0xf82c8aea, 0x733a36a4, 0x71e84138, 0x1746d721, 0x9c42bb28, 0x3d667da9,
+    0xbe03bdba, 0xcb6ced2f, 0x288b704f, 0xc063733e, 0x16f7e71a, 0x84f5dff1, 0xb668532f, 0x82ce1232,
+    0xd56dcde7, 0x9b5a5e71, 0x0f7063a0, 0x04094aae, 0x987f913c, 0xc50207c1, 0x38ced904, 0x366de9f9,
+    0x0c226421, 0x93c8b471, 0x38d0f153, 0x56a2c896, 0x1ecc426e, 0xdf104fae, 0xa4685073, 0xbb3ce3b5,
+    0x55df350b, 0xf0ace3c7, 0xc1431e93, 0x0b743569, 0x4af33d01, 0x6bbfbbfa, 0x1e13c602, 0x8b21c953,
+    0x2e7146e9, 0x9418786c, 0x384777da, 0x9d804ac8, 0xe5936cfb, 0x0cf3e0c6, 0xaf899684, 0xd59eae6d,
+    0xade3c894, 0xe810db32, 0x09118fb3, 0x291f1ecd, 0x1eb98d37, 0x90ab32d8, 0xecf614c2, 0xdd18accd,
+    0x602ba63f, 0xc7138c36, 0xb5ceeb06, 0xa4bc47cd, 0xaef60fbb, 0x51e9c665, 0xe8d291d9, 0x20a2e16d,
+    0xcb1bddf5, 0xc7df66f9, 0x4c162162, 0x4f178ce4, 0x1aceaeca, 0x7967fbba, 0x96dae9c3, 0xeb7b37f8,
+    0xb47b4fd3, 0x4b4f5091, 0x02beb00f, 0x1e05d720, 0x45d47cba, 0xf597d80c, 0x81a14ecd, 0x4f84de7a,
+    0xc0b29732, 0xacc22182, 0xc7dfbaa8, 0xc87e42da, 0x7405cc71, 0x5cc8dc2e, 0xad9a5659, 0xea20f461,
+    0x3cc0e8e7, 0xa42097c4, 0x3b761118, 0x4b82f1eb, 0x399f0dc3, 0xb7526299, 0xd7d8739e, 0x31fd924c,
+    0x678c1035, 0x2a2fb959, 0x01b4c036, 0x59816506, 0x335ceefc, 0x1dda89e4, 0xdf16af3c, 0x69c12292,
+    0x009f3966, 0x20f089ac, 0xbcfb942b, 0x63a8914b, 0x744b86c5, 0x47ac756e, 0xe97a4c61, 0xbadb8b22,
+    0x915121be, 0x2d1eb164, 0xb025fcab, 0x935246fd, 0x3e985b77, 0x6c5dc2fb, 0x3c478646, 0x8c362f89,
+    0xe59de80c, 0x21f1f786, 0xd1652027, 0x2d5fc0d8, 0xfb8e2d14, 0x705e256b, 0x7b74e863, 0xfd1d906c,
+    0x5d0aeb6e, 0x761a9941, 0x3d51d99c, 0x5c34d236, 0x1d77314e, 0xead51b78, 0x5bec3788, 0x1693fc4a,
+    0x2cc29a2a, 0xf86b9bad, 0xb67dd828, 0x94622dca, 0xf5c5fe78, 0xafcc7810, 0x6f97a3e7, 0x61829df9,
+    0x65d4b43e, 0xd47e02a3, 0xb60f261f, 0x4e8b4b64, 0xa029bcb5, 0xc2c306ec, 0x9ed1ac07, 0x3b866f83,
+    0xb5ea630a, 0xba44e96b, 0x5c07fcca, 0x54215699, 0xacb2d8db, 0x27ded1fd, 0x52303eaf, 0x5fdbda50,
+    0x06f07a48, 0x3b91237a, 0x71732a53, 0xb5e1d079, 0xdbf2f8f0, 0x8e44f77f, 0xf5e921b3, 0xe008dd9a,
+    0x545f2d67, 0x724ba925, 0xba1eeb2b, 0x8dd49541, 0xa4535445, 0x4dafa24b, 0xc7450f20, 0xdc24b4e3,
+    0x4d867fd4, 0x06d72448, 0xd60fcc5c, 0x44cc99a6, 0xd4cb6276, 0x06e93f47, 0xc5b11820, 0x7c4d0f4c,
+    0x77d2f2b6, 0x925c8c89, 0xb841b100, 0x14d18b89, 0x0889c2ce, 0x36712e25, 0x852d0332, 0x0c6939fc,
+    0x1de7a2d8, 0x5f731a57, 0xc8a2f9b4, 0x9bc406a4, 0x870caf77, 0x2cd61eae, 0xa9fc98df, 0x54d966e3,
+    0x1e02dd95, 0xab87a50e, 0x35ae5bee, 0xd86beaeb, 0x34ebbb03, 0x41daba56, 0x6eddcd4d, 0x0be9062d,
+    0x71794948, 0x12d62d74, 0x7cb1ea5a, 0x225abdda, 0x46ebf6f4, 0x5065c432, 0x63ae14de, 0x4d3fecb6,
+    0xf1928c24, 0xe76d63f1, 0x52a4881f, 0x011a66f4, 0x3aed7cf3, 0x5258f8f6, 0x3f836818, 0x7bd97f5f,
+    0x751895ba, 0x8f497cc5, 0x8e9e3d57, 0x0690d397, 0x366df51f, 0xd88c6482, 0x38b74f2a, 0x2d5c2f38,
+    0xdf7d55f7, 0xb15cb937, 0x33b133c7, 0x57b2b910, 0xae346062, 0x3c204664, 0xcc285b80, 0x3ad237d4,
+    0xcb07e8ca, 0x4812a406, 0xc4fe6b8d, 0x6904f6a5, 0x4ad69452, 0x3b0a5120, 0xa55d45da, 0xfcd79c78,
+    0xbdd16de1, 0x835a2c7c, 0x355a6c38, 0xa3f55015, 0x59b139f3, 0xe26db2e1, 0x7b42bff3, 0x61d6ce1c,
+    0x056cacf4, 0x7ec0b2b8, 0x022cc68e, 0x09b9d74b, 0x8ead0ce9, 0x674a594c, 0x87321266, 0x0a8bb78d,
+    0x24669218, 0xe443b95c, 0x1e1f3079, 0xb18f422e, 0x9f28b7b3, 0x249be5f2, 0x995c7630, 0x863694e2,
+    0x8a2edd84, 0xa25ca6ba, 0xfeb16e2b, 0x91cdde58, 0x010a83ee, 0x9756919b, 0x50f87c51, 0x8252b26b,
+    0x559ed6fd, 0xad556b1b, 0x095c7902, 0xe38478c0, 0xb589b855, 0x34d234e4, 0x584d1a9c, 0x2567f766,
+    0x292fa98a, 0x848ca791, 0x37ad5f43, 0x2fd112cb, 0x10ff9ea8, 0xb367aa5e, 0xfb33759d, 0xd4c2229e,
+    0x8dafe166, 0xbb5c8746, 0x3cc7d8c8, 0x530f4beb, 0x040b499f, 0x4d5e85bd, 0xb1c603b0, 0xd4e0b374,
+    0x4bdf980a, 0xba638971, 0xc6d9d336, 0x970fb72a, 0x8cc80f98, 0xe45cf931, 0x3dd04eca, 0xde5e069e,
+    0x6a4a2657, 0x229c9bad, 0xbdf86b38, 0xf95f22f8, 0x2bad30c9, 0xb7c7db41, 0x7220623b, 0x1b50defc,
+    0x05f8da1e, 0x660a8840, 0xef052ef0, 0xeb6b4423, 0xcfc2f919, 0x95b496dc, 0x5cde0521, 0x104fadc9,
+    0x88aa9b51, 0x6cc07fa9, 0xad45018f, 0xcf90e4d6, 0x6d69c9a9, 0x9322fdab, 0x69abf821, 0xf8170b0f,
+    0x8bdd6af8, 0x517035d3, 0x996b0934, 0x5bdf672b, 0x55ba5291, 0x7261b1d1, 0xa6ce6983, 0xcb26d04d,
+    0x19dae5af, 0x730599d2, 0xee687ec1, 0x4dca1806, 0x84f1ac72, 0xceb6ebef, 0x5ded1728, 0x2b90c5d2,
+    0x74eb970c, 0xa3469a0a, 0x916962f3, 0x184b8900, 0xc104ebaa, 0x9a2ed384, 0xcad524b4, 0x077fade7,
+    0xaa03b3da, 0xf1f0caf4, 0x7bcaa603, 0xa8db4f10, 0x471d0eb2, 0x1a649ae8, 0x6786e4aa, 0xa95bd377,
+    0x10b37da3, 0xb71c3c49, 0x192e7839, 0x462ce9ee, 0x4901e1cb, 0x03ff6558, 0x1f99f2ea, 0xe3b509b9,
+    0xcd63e2c5, 0xf74d3d72, 0x223b8946, 0xce4a86d4, 0x1850076e, 0x34efa1ad, 0x9fd07d84, 0x8ba72bce,
+    0xa989cead, 0x65b24ac6, 0x56cd5b32, 0x9f8105ce, 0xc172ff5c, 0xd49a727b, 0x4743e436, 0x279b5c17,
+    0x2a70fece, 0x87019453, 0xc47a98e1, 0x6a17ab65, 0x2b563f39, 0xab5813f6, 0xccaaf649, 0x771977ed,
+    0x3d786b2b, 0xbf834886, 0x72818bc3, 0xe4dcbea6, 0x0cd68782, 0x37ecf14a, 0x1c7ea822, 0xc0033da7,
+    0x6d7055e3, 0x020f19a4, 0xb9880d86, 0x20c9da0b, 0xb091454e, 0x38269796, 0xe047cb04, 0xb2923b79,
+    0xc77e234f, 0xd4cae986, 0xd06cec57, 0x61a0c8f4, 0xff5fca6e, 0x34d7c734, 0xf244ed63, 0x340a3776,
+    0xbd9891ef, 0x683b6307, 0xd55cdc2b, 0xdc5086be, 0x57cc9099, 0xa1cd4f42, 0x105fcc74, 0xf849397b,
+    0xfbfae724, 0x19d501c7, 0xe0c49b09, 0xd4434191, 0x384bf71f, 0x08e59760, 0x16c4ce0c, 0x84ce2bfa,
+    0xb576a48d, 0x745cd008, 0xe71d6e69, 0x4b93a909, 0x054cc5a8, 0x984eefff, 0x8baa01d6, 0xc586b842,
+    0x55549b55, 0x6214b94e, 0x028a1202, 0x5e708f53, 0x77eb52b1, 0x368ad59e, 0x4a381cd6, 0xa185d4d7,
+    0xf1521a4c, 0x717afae6, 0x21ac23cd, 0xdfe02766, 0x2b428de9, 0x285c461c, 0xee567c02, 0xc901c366,
+    0x911bf47f, 0x448d70c7, 0xd9901ba2, 0xe33418dc, 0xbfefc060, 0x9ddbc63e, 0x514524d2, 0xf94d38c9,
+    0xd4eff893, 0xbcda5e96, 0x6245077b, 0x349cdda6, 0xfcd31878, 0x9b54bfa1, 0x81e4605e, 0x225bf80d,
+    0x56ec1889, 0x2a2f85c9, 0xad4c5893, 0x43405344, 0x984892fd, 0xd915de91, 0x5848233c, 0x56015e0c,
+    0x1e1d4c1e, 0x3fea05e7, 0xb414b0a6, 0xe3ce6275, 0xafb7247e, 0x1b73d2bf, 0xc17c4117, 0x146881b0,
+    0x3eb300ad, 0x93fb952e, 0x999dbd13, 0x2a92e284, 0xa940a2e9, 0x84e551eb, 0xe52d55e2, 0x212d4964,
+    0xa7654257, 0xec1b8b73, 0x45bd2638, 0x45dfe074, 0x3dabc6c2, 0x5aef54e3, 0xcb9d0fc3, 0x590c4465,
+    0xa1ce7255, 0x7a7aac9d, 0x7adefdc5, 0x1f1227a7, 0x5e70946f, 0x18b58b07, 0xc01a88e8, 0xd608082d,
+    0xb4115871, 0x5cc42a73, 0xef1fcf6b, 0xc481a80b, 0x68ebc9e0, 0x769c6e2a, 0x7eb3b54b, 0xeed6e8e0,
+    0xc11c4401, 0x10d5ca78, 0x1a44028f, 0x8f200ddd, 0x62906240, 0xd909af5d, 0x1b5868c4, 0x6b88fc39,
+    0xde214fc9, 0x9489652e, 0xdf43cf13, 0x62d54ebd, 0xa77fda22, 0x8c484a3f, 0x077a0b51, 0x6e271b51,
+    0xfe1387ff, 0x50ad83fb, 0xe7ddb486, 0x73be40d3, 0x1c9e8c39, 0xe61adf6d, 0x456ec439, 0x0a4fc95f,
+    0xa9d63f22, 0x32307c9f, 0xfbe74230, 0x2a762e0e, 0xde0799f8, 0x2e94b668, 0x4ba8919c, 0xa17a600b,
+    0x87531817, 0x2f0e7055, 0xb9de9d7e, 0x1056af40, 0xaf50fc90, 0x594fa911, 0x0d6f3e6e, 0x423b068d,
+    0x17c0f84b, 0xf9c47716, 0xb29ebfa3, 0xee262cc2, 0xaa8adec0, 0x7514d67f, 0xc74413c4, 0x1e944c39,
+    0xc7a66fac, 0xf50067ac, 0x048a78bb, 0x01a5b209, 0xaddea9b1, 0x8936e5d3, 0x918ab2f5, 0x6c6e38b7,
+    0xf5442c04, 0x51819818, 0x14099b00, 0xbb68c01d, 0x2b2cd1c2, 0x3e29a2bc, 0x1362fcdc, 0xb5709dbb,
+    0x00000000,
+    0xda197239, 0xff95b2c3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000009007199254740992 */
+  { 0x00000000,
+    0xc9ea0242, 0x0ef0a17b, 0xa0806de5, 0xb9c009d8, 0x4d3b2cf2, 0xf108f9ec, 0x206940bb, 0x2e124ceb,
+    0x3c2426b0, 0xf23231a6, 0xabea4899, 0xfcd1c516, 0x4ce45d72, 0xb878e768, 0xe96530b7, 0x089a7426,
+    0x6db7b298, 0x48654e3d, 0x7d48d116, 0x5bdf01f2, 0xec5c02c3, 0xc67c9707, 0x3ef67ae8, 0x6f610dca,
+    0x5770970c, 0x7b169d28, 0x006bbc42, 0x83d93b65, 0xf80fcfb3, 0xef0e17a0, 0x2fbe906a, 0x59578939,
+    0x4d86a9b5, 0x48320966, 0xb7e9c412, 0xc102eb75, 0xfa375f97, 0x5c1bfc51, 0x2cc4cad8, 0xcab20d2e,
+    0x4aeb4c08, 0x11f33c08, 0x866b52ba, 0x5a5c56e5, 0xc900c18c, 0x8130b429, 0x223fcc83, 0xcf5dd3ef,
+    0x400c7e16, 0xc0a40941, 0xe03be4a4, 0x78b843ea, 0x050bfe55, 0x2b937c3d, 0x5e88fc85, 0xdbdeb531,
+    0xc9a6d879, 0xefd1001f, 0x4b1b8a05, 0xa7efd71d, 0xf6bd448a, 0x42952d9e, 0x9141e67f, 0x823323d0,
+    0x5c1ab25c, 0x04533bbc, 0x568b7758, 0x10dcd0a1, 0x4aef29dc, 0x1b4a58d8, 0x6200f8ef, 0x8f612cc2,
+    0x6d10906c, 0x2cb49127, 0x8d234a3a, 0xe02b0fdc, 0xb717c73b, 0x78bba22b, 0xe9c04114, 0x907f24d1,
+    0xf423db23, 0x40c3d91f, 0xf295048c, 0xd5c17762, 0xea0ba06c, 0xa5bbc7eb, 0xc1ce2401, 0x6d451db6,
+    0x36e774d2, 0xf717138b, 0xfe41247b, 0x3d7f738f, 0x391f62f5, 0x15c5c246, 0xdbd421a4, 0x08f6bc88,
+    0x90c90ff3, 0x5df0cc1d, 0xa4bc7962, 0x7d8d0ce7, 0xfbd92b40, 0x91783aa0, 0x399e080b, 0x90860d7e,
+    0x06b43541, 0xab85d244, 0xd30857f4, 0x087cc0e9, 0x90656632, 0x5f621034, 0x9f9ae8e5, 0x0b801d4d,
+    0x171acff7, 0xaa5d71fa, 0x0a4aac32, 0xf6da23c9, 0xe504e50a, 0xd1e2c41a, 0x1c217df4, 0xab53d35f,
+    0x84543d33, 0x69663ce8, 0xb2ea9c8a, 0x5a92b317, 0xa14518f2, 0xa142ffcf, 0x3447ffed, 0x9db55485,
+    0x98c7d5a2, 0x57aa4c8e, 0x4e34f7f8, 0x62e2519a, 0x29b1e30c, 0x4f380f8d, 0x3d333bb9, 0x01086258,
+    0xcd8b8a6d, 0x251916c9, 0x4d85a368, 0x5e4be595, 0xe3596c95, 0xf9906183, 0xebdf14ad, 0x7174082e,
+    0x5631b75c, 0x30eadd4c, 0xdc7244b4, 0x7f4457c1, 0x41d99ae7, 0xca126960, 0x17e6fa82, 0x60720a2b,
+    0x1161a193, 0xda19945b, 0xeeee16f9, 0x8e73af72, 0xfc78c13a, 0xbf215a51, 0x17d4a8af, 0x012a301b,
+    0xcfb71481, 0x190f33ab, 0x6396ab25, 0xfd178d5f, 0xf34674d8, 0xfabea4d2, 0x9c5c0709, 0x4210841b,
+    0x3c2af59d, 0xea23f346, 0xfc122d68, 0x67f466dc, 0x538c1566, 0x5a46f27b, 0x733b8b77, 0x530897d6,
+    0x77370957, 0x0e803749, 0xc04476b7, 0xb34bf78a, 0x097b8c8b, 0x6644732c, 0xfba3f8ed, 0xb9b5e5f0,
+    0xead90a2a, 0x16af2acb, 0x2a517d5b, 0xa94bdba8, 0xc9bd0c6e, 0x09fa726e, 0x92b07b8f, 0xa64e5161,
+    0x73abd663, 0x9a853b24, 0x34dfba61, 0x38781e2a, 0xd1e986ee, 0xdec71cda, 0x1abbcea5, 0x1f6b311d,
+    0x1a18b2cc, 0xb0c3d986, 0x48a18fe9, 0x2f3eb794, 0xb5735bdd, 0xfc9b507b, 0x2af96c56, 0x84301c09,
+    0x99e00471, 0x7eace3d1, 0x15af33a5, 0x444a21d7, 0xbbd0393d, 0xefb2ce30, 0x96c395bc, 0x9c121d12,
+    0x5f053a67, 0xd4a7e117, 0x6a851076, 0x339bd6d7, 0xec0529c1, 0x9d10593e, 0xe0ace5ee, 0x394a7859,
+    0xf5020e78, 0x6f28dfe3, 0x935114fd, 0xf82ba144, 0xb8c0d0b5, 0x2ddb6208, 0x30e99c48, 0x604208e8,
+    0xe30b1913, 0x7b4e6d6c, 0x9d9add5d, 0xffc7eef0, 0x2535f6dd, 0xe5010d2f, 0x147a5360, 0xb5f5cff2,
+    0xdbd6fb33, 0x436b6a4a, 0x3920d1c2, 0x39327965, 0x490feeb1, 0x732d028e, 0x60b0d330, 0xc8666333,
+    0xabfe83ab, 0x11567807, 0x6264afe7, 0xe32f5974, 0x02a860e6, 0xbdddef37, 0x46ff94d8, 0xc17f927a,
+    0xac379667, 0x10093710, 0xf6d3876c, 0xa3dc96d0, 0x3cc0bf67, 0x8de04b18, 0xcaea66d8, 0x1a28081c,
+    0x88ec7730, 0x1e72c2ca, 0x5d6d0685, 0x4dc48d45, 0xe96282e2, 0x21ed6294, 0x34f4a98d, 0x75883622,
+    0x8a7901a3, 0xbc796268, 0xa3e6499f, 0x533737e3, 0xf98e5117, 0xfd401abf, 0xb499bef5, 0x9dfc6734,
+    0x4f716faa, 0xbc9b13a7, 0xd99fdc0f, 0x671ac9d6, 0xb00306fc, 0x4a7e09df, 0xa37f1e26, 0xd9518d63,
+    0x7f8bc852, 0x2c0c29bd, 0xee67d6eb, 0xf03b2f3d, 0xf1e24f6f, 0x094c3de1, 0x6ef1e7f5, 0x6cff0b64,
+    0xfa70c796, 0x86b9293a, 0x4233b6fa, 0x47f30408, 0x6314cc9f, 0x331d63b7, 0x449f65cc, 0x9fecdf7b,
+    0x10a36606, 0x415a5fde, 0xdfc0f5b0, 0xbd5fb2f5, 0x8ef1e9b8, 0x02e840c2, 0x3912d6ac, 0xe394658b,
+    0xda300801, 0xbe28836e, 0x6d446d99, 0xe5923158, 0x291b39df, 0x52c4d0c8, 0x83f76d6c, 0xc3e11f39,
+    0xdfdafb51, 0x6ef7852f, 0x55fac2b6, 0x12b2131a, 0x93d1c893, 0x90286f96, 0x1991048f, 0x5b831aa1,
+    0x84cdee5b, 0x577d3ec2, 0x77d83627, 0xa7bf74a9, 0xa7b1246a, 0xaba65d70, 0xab6ed521, 0x1a990dac,
+    0xf37e7883, 0xafbe8876, 0x1f597067, 0xc7f6b5c3, 0xbb1e8fac, 0x8ddb7d4e, 0x168804eb, 0x13af9065,
+    0xb829eb94, 0x34e57301, 0x4d92d102, 0x9cf30cfd, 0xddbcbb9e, 0x90c01736, 0x0eb6782a, 0x9405042d,
+    0x8bbec00c, 0x7e6f5ffa, 0xf7d13534, 0x470ad542, 0x5be498b3, 0x2afdaf12, 0xd7696e91, 0x682ba7fa,
+    0x087accfa, 0xfff83c88, 0x867f22aa, 0x5a8e091e, 0x1db3b558, 0xb8406587, 0x61a3ffaf, 0xac3f5e0b,
+    0xe19a2c06, 0x33a59560, 0xcc55dc58, 0x8be9fc3a, 0x0f5ce164, 0x08e8a0d0, 0xfb145b6b, 0x7ca0d00b,
+    0x4c322e3e, 0x39ad6946, 0xed1c167f, 0x99035a88, 0xda90e88e, 0x6c77e299, 0xf5aee48d, 0xebd0a1e2,
+    0xf8f63c52, 0xbd7bc60f, 0xd43a55f9, 0xf751d0db, 0x18a6a2a5, 0x8517dd76, 0xa22d4ed6, 0x270a865a,
+    0xc8c39092, 0x9430ffc2, 0x5c92a49b, 0xbbc10672, 0xe6e21634, 0x93855c19, 0xaf70e3c1, 0xce2b6a59,
+    0xab8bd290, 0x2d4b347b, 0x0e9d52b5, 0xcb85372c, 0x500eb641, 0xa56457f5, 0xf685405b, 0x33eb54df,
+    0xb17d7f45, 0x531118ab, 0xcc49afcc, 0x74d0d283, 0x7c4b7892, 0x377f15fa, 0x1cf023a5, 0x1ca89297,
+    0xcb533e37, 0x5876f468, 0x73f567a5, 0x0b5a280e, 0xa78645e3, 0x29e2b009, 0x5b880040, 0xfc220bde,
+    0x074dde6a, 0xda2921c4, 0xb171148f, 0x7c5556d1, 0xa52d5108, 0x41184962, 0x86c7fe3a, 0x6805401c,
+    0x77aa035f, 0x7f129313, 0x404ce703, 0x9c5843fe, 0x34a59998, 0x8e489e1f, 0xff36da6a, 0x48c91da2,
+    0x53e6658d, 0x21a7b68a, 0x9d69b271, 0xcb0ff0ac, 0x1b7b9d16, 0x5f630ad9, 0xa6612303, 0x3141794a,
+    0x6466be27, 0x6ccb8ea9, 0x9dec8cd7, 0x6c84cfba, 0x6a8f95a5, 0x265841d6, 0x0967fade, 0x250584a7,
+    0x53cd75fc, 0x1fc7b1e2, 0xf099f7a1, 0x0822790f, 0x38ae878a, 0x20a8bfea, 0xef3f8dc6, 0x03635b08,
+    0x008d09ab, 0xad51754b, 0x2402abbb, 0xd0eca6f3, 0x7b759eda, 0xca1904e4, 0x9bce3830, 0x21868415,
+    0x129d4469, 0x26cebc1e, 0xdeebabbb, 0x003bfdae, 0xf91da7ff, 0xfbd3dd55, 0x0a6734b0, 0x927ddf59,
+    0x187b64e5, 0x7b07af81, 0x8afe1fdc, 0xc6a7fdf9, 0x6970c42b, 0xe5496bbe, 0x89056dda, 0xee5507b3,
+    0x57cd6119, 0xff0e653b, 0x6268156d, 0x0003a84b, 0x1d9432d1, 0x4dde1132, 0x9059387a, 0x8666358f,
+    0x8ee01e86, 0x0793e344, 0x73885c6b, 0xb3d83492, 0x100b6003, 0x93e476e3, 0x3d7134a8, 0xff2853b9,
+    0x6fcf1bc8, 0xb614ba3c, 0x44592644, 0x0b39bb80, 0x706fcd13, 0xcc8c786a, 0xca5f36a6, 0x09451a9c,
+    0x922ec438, 0x313121d5, 0x00eabeab, 0x3994e471, 0x552d5d1a, 0x263de9eb, 0x68694031, 0x09b39d9c,
+    0x9f899481, 0xd53ca73a, 0x11057c8c, 0xf5ddf35e, 0x71592f14, 0xba26569a, 0x2697a198, 0x7b456fe2,
+    0xfc0c11f6, 0xa5c4b59e, 0xd5417d70, 0xcfcc5cf8, 0xf2fd4af8, 0xd8f18975, 0x8a27fef8, 0xbed2d31e,
+    0xac6d68bf, 0x34697a32, 0x25047816, 0x65743535, 0x15c59989, 0x18242847, 0xadd92ef6, 0xe37ca66d,
+    0x91137cab, 0xd8779214, 0x981b5861, 0x35061d53, 0xba3d787a, 0xcfb1bb5c, 0xf66deaeb, 0x89204f6f,
+    0x5e65a6a9, 0x74f228a4, 0xcd407e96, 0x875b8937, 0x37c296ef, 0x2a8b2dfd, 0x49a31329, 0xf18f06a6,
+    0x8eb147b2, 0x633ce8a3, 0xbbc70c07, 0xb94ce8b4, 0x6949df60, 0x5a569bc5, 0xe811a83e, 0xacf7dfcb,
+    0x03e9c59a, 0x1077cdc5, 0x5a8b2a33, 0x7be6dce3, 0x072f18d4, 0x36bd32df, 0x7333e263, 0x3795f424,
+    0x7d06b2e7, 0xb36d321d, 0x12fae5f7, 0xcc41c382, 0x7bdfbc43, 0xa31372ba, 0x4b1da408, 0x0e6f1318,
+    0x1b2e7653, 0xa5c29726, 0xa6dcb0ec, 0x17fb6755, 0xfd65e201, 0x2a93a431, 0x150963c3, 0x0163707c,
+    0x7e544991, 0x4bc6ae60, 0x06373ad7, 0x02d128b1, 0xfb0827c8, 0x62e69ddc, 0x0f2823d3, 0xe1f24a48,
+    0xef2df012, 0x4b8d769c, 0x578aa2ad, 0xb91d0c02, 0x6f57fa2f, 0x4ca8a44b, 0x442b997a, 0xe721be06,
+    0x3ec851fa, 0x1d4dac02, 0xce9b44b8, 0xfd8d86eb, 0xa561b7f7, 0x245cc441, 0xdc26b372, 0x8cc5a3c3,
+    0xc6ce6758, 0x47fb3940, 0x549a937d, 0xa28f89f4, 0xf7567399, 0xfe782709, 0xd8a3890f, 0xa959f2a2,
+    0x4b181d80, 0x4c33ec5e, 0xadbf62cb, 0xa0e78881, 0xce500904, 0x2ae4a30f, 0x668b9823, 0x30c01f9c,
+    0xefc889af, 0x036f0398, 0xe3edf035, 0x97a5f768, 0xa11e1827, 0x47f8728a, 0x603ee795, 0x819c53a0,
+    0x46bdcefc, 0x67605de2, 0xaee3c7ee, 0xb15133d8, 0x24c07298, 0xfd1da4c8, 0x6ce2b10e, 0x27c63aef,
+    0x9efb11e1, 0xaf7a6542, 0xbf74a24d, 0x249cb562, 0x7fe80fbe, 0xb135ce80, 0xfb842215, 0xc9422cac,
+    0xd58c6295, 0x05882963, 0x6cee9b97, 0x04c2fa94, 0x00e5ae37, 0x74b826c6, 0x8bae8290, 0xaae6b95c,
+    0xbcd5912d, 0x2d022257, 0x478fef78, 0x766b76cc, 0x7dadd3ba, 0x7400ca79, 0xd332bce2, 0xf91a9dd1,
+    0x35a56e2e, 0x5131a3ea, 0x68e81fd8, 0x9760c690, 0x1b8db656, 0x5de31da6, 0x54891814, 0x20aa2c4f,
+    0x91d1fdf6, 0xef90274b, 0x35cac51a, 0x83908bb7, 0xb7957968, 0xa50d1d08, 0x4cfd4028, 0x553ab069,
+    0x1a82823b, 0x087753eb, 0x480d994e, 0x417d95ef, 0xc2bdfb98, 0xe55bbe98, 0xc685217f, 0xa5ab29e8,
+    0x2da892d7, 0xd7ecf68f, 0xfe6b4d2e, 0x0621b191, 0xd177e333, 0xd4ef6768, 0xe0bfee9a, 0x9529e57f,
+    0x5ad62687, 0x7fffa555, 0xd7b8fde4, 0x0d3e9c52, 0x8604861d, 0x522d9451, 0xe422bb08, 0x88e01633,
+    0x7ac49e4e, 0xe99e34f9, 0x4fe1e232, 0x41eda04b, 0x73cd3d0f, 0x5db9a61b, 0x397aff0b, 0x4486f106,
+    0x1d574b86, 0x607e32a9, 0xecb2badc, 0xf7c03cdf, 0xd1a281ad, 0xbeb1b99b, 0xcb253705, 0x18610ec0,
+    0x693d7462, 0xf061b084, 0x8c229606, 0x77861bf4, 0x56ce3b31, 0x17110f7e, 0x7f5c9d69, 0x5089c858,
+    0xbbbafb22, 0x19f918b2, 0x9577d757, 0xbd1f0e9c, 0xbe42baa9, 0x1cfb7b3b, 0x530a5db0, 0x09210cee,
+    0xff2c874f, 0x1d94a95c, 0x468ba99b, 0x2c4367e3, 0xffa73f07, 0xde8a0c1a, 0x3da6ec00, 0x883d6413,
+    0x8378d257, 0x29312ab5, 0x87054aff, 0xfda1bcb3, 0xf42b5a55, 0xe1982f88, 0x0af3e000, 0xc7cdc00b,
+    0x1670c395, 0x7bfc8f04, 0x563608ca, 0xd5b9806b, 0xd8cb5b22, 0xee3be7eb, 0x7b358551, 0x56d04d2f,
+    0x08b4e124, 0x57a895ba, 0xa79a6ec4, 0x503395b6, 0xf0ed8c6b, 0x7eeae304, 0x77c5b486, 0xa685799d,
+    0x60e677fc, 0x01d15582, 0x68dbe419, 0x38e294a6, 0x3160c135, 0xc41c25f1, 0x8646353b, 0x87f17bf1,
+    0x7c0bc29a, 0xe4ce9b87, 0xc276ff45, 0x9c3025d3, 0x1d50218a, 0x8c945303, 0xec1313e8, 0x044d2303,
+    0x1afcce14, 0xe41f27e3, 0x55498cbf, 0xa2f12584, 0x168429a1, 0xf130484c, 0xfa75bf4a, 0x4bbf40ed,
+    0x5796b939, 0xc2effd64, 0xc220d761, 0xa9782ddc, 0x874a5983, 0x20e0be91, 0x56ed8edd, 0x8736af3e,
+    0x9f30c726, 0xe3bc6349, 0xf027ae76, 0xe1b29d08, 0xf30c1dcf, 0xdaf8f501, 0xb4230a75, 0x76a71c3b,
+    0x4f334bf4, 0x87db9eb5, 0xb2014d62, 0x2dc48640, 0x4975d298, 0xb8679088, 0x69079c52, 0xfe1ac9a7,
+    0xa9b10063, 0x0b474a44, 0x2b6d7d47, 0xea6daa7e, 0x039cea4b, 0xe4add0e5, 0xbaee7f7f, 0x7411a655,
+    0x99a21818, 0xba9fab32, 0xf293cbb2, 0x93af9401, 0xd529e94e, 0xdcb5742b, 0x5d42223a, 0x0992e8e2,
+    0xc7127db7, 0xf166d542, 0x4e8ba00f, 0x926b7706, 0x67367e1b, 0xd29ff5e8, 0xe7805f75, 0xb0676753,
+    0x391e2814, 0x69aa4cf0, 0x25c26f32, 0xca930b16, 0xa6d2a558, 0x65edbd20, 0x0d81178c, 0xb3a4c1ae,
+    0xadb502e3, 0x817e7026, 0xe2ae66a5, 0x18cb29b4, 0xa7bb8b6b, 0xa22b8f82, 0x52bcfee6, 0xb76a2725,
+    0x4ebdb592, 0x57af6506, 0x5a46f9a9, 0xcce007c0, 0x5da29c65, 0xe61a12bd, 0x6fb28ed7, 0x320c0f1f,
+    0x52f827e3, 0x24086688, 0xf8b167fc, 0xb1a53c80, 0x57b2a053, 0x0c8e5f65, 0xcf579596, 0x22f7d670,
+    0xfb5f3c17, 0x999963fc, 0x1c507fcc, 0x5315237c, 0xaca5e5e5, 0x3971bb69, 0xab3fdf3a, 0xd94e3fe2,
+    0x471d3f1b, 0x085a6e9b, 0x14474446, 0x976d77d6, 0x0b4fa6c3, 0x189a6ff3, 0x365502df, 0xa341410d,
+    0x78946e67, 0xc62bc13a, 0x8490ea84, 0xa17b7f0c, 0x78520e6f, 0x7c19b1fa, 0x713976bd, 0xc03a1a81,
+    0xc51ece17, 0xb2cfcadd, 0xf7c9cf8f, 0x417a69b7, 0x3d5e7803, 0xd4f366ad, 0x0966930a, 0x93dfbb22,
+    0x4bff6023, 0x0aa32d0d, 0xcd2064d2, 0x867f4b9b, 0x4c138548, 0xd46b2c07, 0xfaec6c16, 0xb307cbf2,
+    0xd30bd21d, 0xa979a2c5, 0xda7fc0b2, 0xedea2414, 0x7a387d1b, 0x6abfacaa, 0x4f0c7ba1, 0x6caa3c38,
+    0x39e8ffbd, 0x143668a5, 0x01833f2e, 0x42dac9fc, 0x7987db2a, 0x3ccb2863, 0xe2835245, 0x80267e47,
+    0xfe0edf1e, 0x34bb5a49, 0x3ea7b1a3, 0xe8f97f3b, 0x76dbfc5f, 0x6656446e, 0x74c6b4e5, 0x9a6bbeea,
+    0xf447b694, 0x64016c85, 0x04af561f, 0x2d61b9c8, 0x1008d038, 0xfbc35d98, 0xc05e7be9, 0xe8430725,
+    0x1149a1af, 0x4ff3340e, 0xb1dbb875, 0x913ddddc, 0x1352c086, 0xb102a7de, 0x139fed80, 0x27f01d40,
+    0x88d26f23, 0xaadec211, 0xdf90871f, 0x22cd2c6f, 0x443dfd10, 0xa967a2fe, 0x4e55d14d, 0x1d015956,
+    0x16346ab9, 0x5ca03c9f, 0x7db4aa70, 0x1cb4c500, 0x42298606, 0x8686a742, 0x625d2ac5, 0x31e77f5b,
+    0xd8c8dc62, 0xff5e0569, 0xc7481b1e, 0x513a40ea, 0x15408ab5, 0x5de84c74, 0x98db726b, 0xb0516f3c,
+    0x253bac4e, 0xeb83cfb4, 0xe397204a, 0x4dd3f6ca, 0x37b91104, 0xb9b0ddcd, 0x8313f337, 0x60e845e2,
+    0xcebc23fb, 0x3633817e, 0x9d6af3c7, 0x32e8c535, 0xfe9d847c, 0x87ab090e, 0x7e94dfad, 0x936ee09e,
+    0xefa1c701, 0x1ec060f3, 0xb7410b51, 0x1970316e, 0x5eebc0db, 0x8fbd6ce2, 0xee252f47, 0x98652e35,
+    0x00000000,
+    0xed0cb91c, 0xffcad961, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000004503599627370496 */
+  { 0x00000000,
+    0x4657601c, 0x8b79f1f6, 0xcaac7211, 0x73600cd8, 0x06935eff, 0x8c14221c, 0x16f6e95b, 0x00f87cc7,
+    0x676248b6, 0x515c9ed4, 0xf6de2b64, 0xda09a6ad, 0x7d67939a, 0x6cdbd91b, 0xbe3cd81f, 0x7ca0bb17,
+    0x1a030c9a, 0xef1206fd, 0x9c84f519, 0x60cee226, 0x63c625f3, 0x81e8500b, 0xc1256eb3, 0x28e392f1,
+    0x9c2d08d2, 0xe59938f8, 0x480109cb, 0x33d01149, 0xa4cc862e, 0xbe13a3e8, 0xb45bf367, 0x6c87c08f,
+    0x0fcea9e4, 0x907fe5bc, 0x37ec2765, 0x2e7be27a, 0x05449ddb, 0x951c7def, 0x16cffd01, 0xb8ba1954,
+    0xefd2c2e1, 0x1190ce1b, 0xeb98c88b, 0x9f34eb49, 0x8bd530ef, 0xea5c418d, 0xb7b2a974, 0x0f118c40,
+    0xa9896890, 0x0c5d7456, 0x802c4288, 0xac513ef3, 0x3b79341f, 0x1d3451b2, 0x41f5b1d6, 0xe523d2eb,
+    0xa4292eaf, 0x61a254ab, 0xbe8bf197, 0xf8a438eb, 0xb76a2e89, 0x34eab45e, 0x5a602471, 0x5d07045c,
+    0x7103f4c5, 0x9fdba95a, 0x36e6cb7a, 0xab45136c, 0xe029effe, 0xf2661c02, 0x5005faf9, 0x5722a66c,
+    0x8c37ff05, 0xd46825c0, 0x168c93d3, 0xbd821bdc, 0x2c722757, 0x9f56b27b, 0x0240ecf2, 0x42a84d1d,
+    0xf01c7a1e, 0x4a49d195, 0xf6f762cc, 0xe2d19a3a, 0x9c0e8fc4, 0x7c6fd7b9, 0xc104b8fa, 0x1cd0325b,
+    0x24729e9c, 0x4f029089, 0x631ea076, 0x2c6d12de, 0xbf9d7a2f, 0x81fc9edd, 0x6f45db5e, 0xe0d6e59a,
+    0x8bc98ba5, 0xc6441f5e, 0xc6e9cf46, 0x66eb05f9, 0xccb37c29, 0x881ad49f, 0x8d775ee1, 0xc33ed33a,
+    0x5ebb1b43, 0xf06a7302, 0xb825d5fa, 0xe5ded8a1, 0xa0bedeea, 0xd6a5b3ef, 0x90c13e2c, 0xd1f4805c,
+    0x8a941485, 0x0aca011b, 0x3225be94, 0x812e4ea0, 0x9913b05c, 0x35ced9a5, 0x859a4ea3, 0xf7821452,
+    0xa045d37b, 0xd0b66c0b, 0x518482d0, 0x37023105, 0x05fdad22, 0x6dab3a56, 0x44388ec7, 0xb0fcd267,
+    0x190a8ad6, 0x3e694b7e, 0x9d8bbdfc, 0x06eb5313, 0xe92de9f1, 0x0ba11cf5, 0x5c8ea938, 0x4ae1862b,
+    0x5f80ace0, 0xda7ee510, 0x0511e623, 0x2af45db1, 0x12380808, 0x71d551cf, 0xb6f22658, 0x417dca59,
+    0x50bbccf9, 0xc83be840, 0x071fa12d, 0x823541db, 0xb6ca82fc, 0x2e7e0a08, 0x62db54b0, 0x4d5ad033,
+    0xf07402c6, 0x904b9e34, 0xb01894fe, 0xbef717d8, 0xc19c7335, 0x7df77ced, 0x4eba7057, 0x15e40338,
+    0x26526308, 0x4b0487dc, 0xc32b8494, 0x0042fc5c, 0x766cd0f7, 0x2050b5e7, 0x8e12d4ac, 0x5f895e75,
+    0xdfbe7b72, 0x5b5cb85c, 0x0f01c70e, 0x076c85d5, 0x8e692b70, 0xe524d185, 0xf7a5b3f5, 0x10e06556,
+    0xfcdba43e, 0x551cb1d6, 0xb948cac7, 0xa3302410, 0x804487aa, 0x1108b624, 0x03eea3c2, 0x0b0002a7,
+    0x641c7c1c, 0xf237df8a, 0xc8ce268d, 0x9132142e, 0xa93e62cb, 0x59281268, 0xc8912267, 0x46a51a6a,
+    0xba9b5fe0, 0xa16b45f8, 0xf4516fda, 0xbaf4a638, 0xb4c8e2bc, 0x6b3dcd4c, 0x4ae9f32a, 0xa216bdb2,
+    0x92e09dac, 0xf1fcfc00, 0xa1b27ea5, 0xa164bbc8, 0x6a9f7564, 0x694dec85, 0x37a508c7, 0x0f92117a,
+    0xc0d94b09, 0xa8f0a318, 0x67f3f633, 0xdf29bfee, 0xaf4408bc, 0x35088969, 0x0c070d10, 0xf7b89f6c,
+    0x08f9c6e1, 0x7cd38378, 0x6f48c235, 0xe613aa07, 0x2e528bd6, 0x509d7db1, 0xf79ff613, 0x20ed214c,
+    0x9819915b, 0xfcfae3a7, 0xc62566bf, 0x4daa311c, 0x880d293a, 0x0239ff48, 0x7cd1a3b9, 0x7e02564c,
+    0xab370d8c, 0x19b79906, 0x8c37bd2c, 0x93caf35c, 0x6aae58f6, 0x9bde8ef2, 0xe3820bc0, 0x406c9176,
+    0x4fd03b22, 0xa159d511, 0x470e3c3e, 0xdc6e7855, 0x5f99a2ea, 0x91ee152f, 0x97daf6e2, 0x2148e973,
+    0xce78a5bb, 0xe472779a, 0x0714546c, 0x57326025, 0xae419510, 0xdf148901, 0x6aa7f473, 0x2e721390,
+    0xf36830fd, 0xbd8b96dc, 0x3280e879, 0x7dbc209e, 0x8c8bd80b, 0x1a95bb9f, 0x34eab63e, 0x8c7be766,
+    0x1fe7fcb2, 0xb1d35a74, 0x5a104c25, 0xe81a6440, 0xa8bbbf7f, 0xfcae3a94, 0x64fff659, 0x51b6ba80,
+    0xa30be3ef, 0x8ac355dd, 0x47e6ae21, 0xa5caf681, 0x3c706f6b, 0xbacafbd3, 0x592ff0b3, 0x9e0a5f12,
+    0x2c41ee25, 0x4f64949a, 0x13dad289, 0x0796d9b7, 0xe4ede354, 0xfbc86c87, 0x49f63c6f, 0x7b70e352,
+    0x81d75304, 0x7ab76cc0, 0x331f4849, 0xa7f8607c, 0x23602af5, 0xfeec2cd5, 0x4d77eb84, 0xea683f85,
+    0x4a0e14d9, 0x7bb35ee1, 0x2448a9f8, 0xb7e15969, 0xb82f5d17, 0x3eb0c1a2, 0x2b131cfb, 0x16ab9bef,
+    0x4c3a9395, 0x422e5117, 0x6c8cdac2, 0x7ce78ead, 0xe2d96864, 0x933ae805, 0x985d49fc, 0x9d2b98e3,
+    0xf37c29ad, 0xd48e798a, 0xa7abcdac, 0xc01ba8a7, 0x92ccfc7a, 0x1d310320, 0x5f8e6959, 0xc90f4d8b,
+    0xf38ac8a5, 0x6b5c332c, 0x18ff0de5, 0x91b20c5d, 0x37effd92, 0xfbbd6abc, 0x7d617024, 0xd89e9fa7,
+    0xc9778254, 0x0acf9313, 0x94c4e197, 0xe704ed3c, 0x169ddc53, 0x2c4b2662, 0x6f9406d7, 0xa4ef3b45,
+    0x9ba3127e, 0x8b6f45fe, 0xb3280983, 0x7c153782, 0x3562b0db, 0x008d5f70, 0x8980d4af, 0x442fddf3,
+    0xcece46ee, 0xba223170, 0x8cb90724, 0x5dd73518, 0x1dfb9469, 0x24ef8a44, 0x380d1243, 0x2bf4c5a1,
+    0x4faf3c4b, 0x374b692e, 0x4cff1e68, 0x45671a85, 0x1e736d05, 0x67fcb2c1, 0x2e3a0b12, 0xdc07ed5e,
+    0xc5d2b77e, 0xb3c48866, 0x0d1b1453, 0x12d5b606, 0x228ac175, 0x67a0951d, 0x05a95043, 0x5fe9b2c1,
+    0x7943ceb1, 0x6be4f6b1, 0xa34215f0, 0xab0b1f51, 0x9743a907, 0xa44576a4, 0x0a56d594, 0xee798ad0,
+    0x353a0955, 0x00c5582d, 0xe131d4d3, 0xdae2d8a0, 0x12f3a575, 0x8466ec14, 0x05c7c3b7, 0xa2342e5f,
+    0x880dca1d, 0xd0e692b2, 0x2733a3fd, 0xa56b746f, 0xeaf13821, 0xbc56fadd, 0x22097f5f, 0x7fc1043a,
+    0x69577cb1, 0x7a4898f6, 0xc24c6567, 0xa0fa8c77, 0xdd7c9a89, 0x282228f0, 0xc26ae908, 0x0ee0db90,
+    0x94536270, 0x8aa3a3e3, 0x0d7ff57d, 0xedd2e6f2, 0xa74892d4, 0x93177971, 0x2f682c7e, 0x67269fb9,
+    0xcd47ba5a, 0x03040b5b, 0xd91197e8, 0xeb0092fc, 0x0cb4c8ea, 0x152b6e2d, 0x36e5382c, 0x9644dbf9,
+    0x765ee439, 0x597c2e43, 0x15dceb4d, 0x9ca5146b, 0x455f8036, 0xfac675b6, 0x9eef88b4, 0x9f74f40c,
+    0xaec5c5e0, 0x68ab0742, 0xed1473b9, 0xa4b18ff2, 0x4704605d, 0xeeba0d68, 0xb59e0181, 0x093e94d9,
+    0x75144774, 0x92712e38, 0x6ee09f7d, 0x38ca9b83, 0x108ea563, 0xcbfb8479, 0xc3fd202e, 0x02815ffe,
+    0x4994cbfd, 0x1cd286cf, 0x46da506b, 0x0b4acb92, 0x3851d79d, 0xb1a71c1e, 0xb65890a2, 0xe3ddfd27,
+    0xa110509e, 0x2bd0940e, 0x792d7e1c, 0x79f23595, 0x10a38caa, 0x7aca218e, 0x4139861a, 0x36c06c8b,
+    0x79312a87, 0x65d08d59, 0x310568e9, 0xbf832322, 0x8293a666, 0x0c051c19, 0x2b591b79, 0xe60164d1,
+    0xc014dac1, 0x7a97add6, 0xa6b806ae, 0x46d61ace, 0x32b286b8, 0xf350edaf, 0x6b8bae4a, 0x578e2738,
+    0x31af9dce, 0x87669042, 0x34dcf17f, 0x88b9deb4, 0x2aeee212, 0x18f8f42e, 0xc67f4fa6, 0xb48c3646,
+    0xc1189273, 0x12dc4411, 0x99f2271f, 0xbe611a7f, 0x1242e4c9, 0x0b92a5fa, 0x6e58210c, 0xcc5dc70e,
+    0xb158bb33, 0xd07667d6, 0xa83d2039, 0x1cbc72b0, 0x2c05774e, 0xedbe0245, 0xa97fc2e1, 0x77ae2b07,
+    0x048046e4, 0x384abe9d, 0xa633b4fd, 0xd471ada4, 0x1acf2fe6, 0xd63e2611, 0x708747e8, 0x1a498e7f,
+    0x151f7c6f, 0x66a8a998, 0x58e2e3e7, 0xab356a82, 0x0f236509, 0x33b5a204, 0xd95079dd, 0x664f333f,
+    0xba04fa08, 0x9d79a753, 0x02f81ab9, 0x237527aa, 0x2ae586dd, 0xacbb7cb8, 0x4844a56d, 0x7d0785a7,
+    0x9a1b3832, 0x122450ad, 0xa3ecdcab, 0x29a9fa7d, 0x4b5967c4, 0x4577d3f9, 0xb1b0612a, 0xc0c90c78,
+    0xf937f832, 0x4496816f, 0xa5e30f1c, 0x6a71b7f3, 0xd7e4af29, 0xa6a51cda, 0x97a69e48, 0x543618ee,
+    0x78aecdb5, 0xadcdf334, 0x249097c4, 0xa0c4a398, 0xe3c99206, 0x3c7fb9bc, 0xf396eae8, 0x3fe1f274,
+    0x4af67de2, 0x6c9813b1, 0xaa7523df, 0x9c83138d, 0x9fefe8b3, 0x51bd0c45, 0x89b50b4c, 0x7ff5f782,
+    0x0da21241, 0x4a8b45df, 0xfa9446f8, 0xc5f30a09, 0xf8dc71c1, 0x3a7ab7b8, 0x683ff7fe, 0x8c8b9bc3,
+    0xf2a59033, 0x636cc68d, 0x4636e590, 0x0686d879, 0x62277509, 0xcb8333e1, 0x1cb690b6, 0xbc372dfc,
+    0xe545f96a, 0xd52d3115, 0xa2aeabb1, 0xa86d7d8f, 0x5494aea7, 0xfa272520, 0xb911bddc, 0x962c324d,
+    0x7046a903, 0x73f0c886, 0xcf39829b, 0x5a24d5d1, 0x692a473d, 0x7d355a38, 0x0cfca1e8, 0xf522733f,
+    0x96a931c5, 0xff24c068, 0x846a5445, 0x995d3519, 0xe5462661, 0x4f79c865, 0x1830672b, 0x12cf982a,
+    0x1f1be24f, 0x0d46c78b, 0xb1dc330b, 0x39057326, 0xe1ce61ce, 0xf799bf19, 0xa94089b7, 0xa72b869c,
+    0xcc624115, 0xed8f71d6, 0x148ad748, 0x140c2319, 0xc6b2b03d, 0x75e855e1, 0x6a0b86f1, 0x1423659b,
+    0x98a2ac26, 0xedd32b8c, 0x61a9da31, 0x893a577f, 0xd609d717, 0xf362b432, 0x75b09800, 0x653b8253,
+    0xca78fb8b, 0xe9ea3443, 0xb580d75a, 0x85ef531a, 0xe284cad9, 0x8ba670bd, 0xeaeabac6, 0x6589302e,
+    0x4c48beef, 0xf5cba5c2, 0xf425e455, 0x1b3c8071, 0x6118992b, 0xcd7c1c7d, 0xc08cc22c, 0x8b53c0e3,
+    0x0cca036b, 0x7785d850, 0xc4141276, 0xf4a4d6fc, 0x6938e92d, 0xf8d247d7, 0x10663dcf, 0xaf25dc47,
+    0x7d48794b, 0xf47b7671, 0x48485822, 0xc5422f53, 0x26a4c7e0, 0x738acfb9, 0x1eced7dc, 0xdbe6c39e,
+    0xdcdea4eb, 0x8fa2d7ac, 0x33f25227, 0x6631f577, 0xd2d6e42e, 0x3ecff702, 0xb1239b4c, 0x1fadebc2,
+    0x87dae5ad, 0x2c048a09, 0xcc76d69e, 0x3755adc1, 0xa4b6168d, 0xe06a79ed, 0xde7261d8, 0xd8cb7778,
+    0xf5623336, 0xe61e682b, 0x4c0a8496, 0xed09abb2, 0xc210e1f1, 0xbed2189a, 0xe3c6edc2, 0x9d5d4e6e,
+    0x8651a176, 0x34db388c, 0xf9cd9a26, 0x9a8d253d, 0x01d75bc9, 0x57dd22fd, 0xdeb8a26d, 0xccdf4417,
+    0xaf84ef74, 0x8611d971, 0xbacf8d9b, 0x6eefda20, 0x3aced865, 0x583ecd8a, 0xdacd0d93, 0xd81f4ad8,
+    0x1fb8fa36, 0x1e83270b, 0xdfc277b1, 0xd4980314, 0xe91e1bc6, 0x0f31ad4d, 0x93685e3d, 0x9f1fdf89,
+    0x3cbdf9b1, 0xb2f99ade, 0xa00b9dc4, 0x4be060d3, 0xda4017b0, 0xaeb9d6e8, 0x4b801e6a, 0xe94a230a,
+    0x74ab18bb, 0x193fcdca, 0xfd60424e, 0x96c9503c, 0xe9e4e6c4, 0x6e40ef4b, 0x472e267d, 0x29299b1e,
+    0x19998dde, 0xa9dd3c19, 0x1c8f8ecc, 0xfb9950ea, 0x6cda2a32, 0x375c41f9, 0xaebbfdba, 0xef5e5cb9,
+    0xbfb22e2c, 0x92effebb, 0x90d94e7f, 0x062762f1, 0x3c56814b, 0x4a4a8cb3, 0xfca2509c, 0xfd201ba5,
+    0xabc50b7d, 0x910e92df, 0xd44986ee, 0x2909e0ee, 0xe80e8be2, 0x31fcc045, 0x53667c4d, 0x4ee6b7a8,
+    0x5865c087, 0x15357d97, 0x89bc3d90, 0x36da1bba, 0xb9ee0c10, 0x3162c486, 0x2baeb50e, 0xc48f44ca,
+    0x55e057d3, 0x49332bd4, 0x27c8bf43, 0xe403e971, 0xa9501075, 0xf24d4c0e, 0x51b71e6e, 0x635fc352,
+    0x71f66edc, 0x4419462e, 0xd28ce9d9, 0x0ee01f4a, 0x227076c5, 0x67b54ea8, 0x61832f5e, 0x89807241,
+    0xacf19420, 0x611182f3, 0xe29d2cb4, 0x3613e2e3, 0x1e45e8f7, 0x4408a219, 0xd858261e, 0xcd36b794,
+    0xe3d4a1c8, 0x9df3487b, 0x756792db, 0x92c44275, 0x41830db5, 0x225c04ce, 0xfa81d89b, 0x8eeed8fb,
+    0xb3635b8d, 0x072c167a, 0x98a6dcd8, 0x50951c26, 0x997d6023, 0xabcd1f92, 0x82882c7a, 0x508e053f,
+    0x27086e89, 0x0acc50ee, 0xe661e991, 0x37a79220, 0x5ad9f6e2, 0xdb40c3cd, 0xc45b86c3, 0x61535735,
+    0x118e4768, 0x693604ab, 0x2051b983, 0x0071c14f, 0xbfd3a973, 0xde05afbc, 0x8dcd98bd, 0x76bdc4ca,
+    0x11394963, 0x6d3a2bb3, 0xa1955484, 0x0574f947, 0x33a4441c, 0x781ef4ff, 0xa2ce5fbd, 0x6301a4a9,
+    0x3b508abb, 0x283a4252, 0x6695f5f1, 0x4d80dd11, 0x142cf380, 0x5c055842, 0x7ff1d9a1, 0x98be7a38,
+    0xf3613654, 0xfb1875d8, 0x0a1d5118, 0xfb355541, 0x414658bd, 0x0b66575c, 0x9c088fa9, 0x9ab6b4a1,
+    0xeabc5c2a, 0xb54290da, 0x438b7d13, 0x318f8aa2, 0xfe76b869, 0x1270d094, 0xe0946379, 0xf4d480fb,
+    0x542d1721, 0xa5277486, 0xeb2546ba, 0x62f133e7, 0x8baa7e74, 0x176b3f9b, 0x171b8fd3, 0x98ffd787,
+    0xbce8a5b6, 0xd9284f39, 0x49645e80, 0x7b2b2f17, 0xa2b5e337, 0xbe779a72, 0x1cb4927b, 0xc248d9b7,
+    0x11f2ac7f, 0x4708ad10, 0x8f4b5b29, 0xcd6de8c2, 0x619efcad, 0x00443742, 0xb9d08d90, 0x90d52bbf,
+    0xc84cfc79, 0xad28f6e0, 0x834a7801, 0xc241840b, 0x3d281f78, 0xfeacbf14, 0xd44415a6, 0x2bbb63b0,
+    0x0c68c108, 0x7203fc98, 0x54f6a72c, 0x03dc4dc2, 0x6455cab9, 0xe8b5f0d3, 0x1fa6a7a1, 0x2033d1aa,
+    0x431c3b8f, 0xf51c5ea2, 0x5db71bcd, 0x0927da9e, 0xdd1e2561, 0x46beb4a9, 0x11207299, 0xe4101b42,
+    0xfb05328b, 0x0ef939ea, 0xc3bc41dc, 0xca8744d3, 0xdc7974ba, 0x08d2f2d5, 0xf5fb93dc, 0xc77c9530,
+    0x9f975f3a, 0xcc45bf4a, 0xb3966cb6, 0xa86b3e17, 0x65ac4227, 0x39c5f720, 0x554cfe18, 0xe0c0ad88,
+    0xf0373352, 0xc4ff3198, 0x713d010f, 0xc0272854, 0x9fc78ec0, 0xe679ea1e, 0xe6c45a23, 0xe9592319,
+    0x9c230ff1, 0x8e5689fb, 0x19b75280, 0x11d688f8, 0xa6d78d03, 0x123f9edb, 0x56bc7ad9, 0xc477cad1,
+    0x165b271a, 0x9ebf4a7d, 0xe9018a36, 0x6cca26af, 0xa4fccfb4, 0x655a0308, 0x2d856162, 0x14ee1ff3,
+    0xf5a23e07, 0xa0a0e823, 0x8a1c352d, 0xa74656dc, 0xf6596211, 0x3f332c5a, 0x4be13df7, 0x6a5de815,
+    0x8b243678, 0x156f1d7f, 0x77fc0034, 0xc81b719e, 0xc0e3b955, 0xf8084952, 0x7f86fa0f, 0xc37d9006,
+    0x3d02ebdd, 0xf719dc4c, 0x2dc457b8, 0xb7167d94, 0x23836c20, 0x77a46faa, 0xe8a58857, 0x0ec0e136,
+    0x11846879, 0x9195d30e, 0x43f50606, 0x4cee241a, 0xf1330469, 0x09706491, 0x76db92cf, 0x36cce278,
+    0x8892ad1a, 0x2615fd4a, 0x3442323e, 0x60f9ccb9, 0xf1d040e0, 0x38876475, 0xf7ab3a18, 0x6ea535df,
+    0x6a1502c9, 0x860aaff0, 0xc80ca599, 0x50b1e910, 0xa7eccc48, 0x8d47d502, 0x530b9294, 0x4e391e79,
+    0xfe3a17d0, 0xbc838d3a, 0x6f49f1df, 0xc119e042, 0xba3a2a90, 0x09902a7c, 0x4a0389ff, 0xa9814423,
+    0x0fbba97a, 0xb3b34dc3, 0x4d5afb0c, 0x17ae2aed, 0xecdcf4bd, 0x0166a87b, 0xb68f21a9, 0xe779b42d,
+    0xa458506e, 0xd4de3237, 0x95f5fdde, 0xca76d5f7, 0x73d88d01, 0x1ab4f3f5, 0x5e551a1f, 0xd327640b,
+    0x09164014, 0x809a29be, 0xd332e161, 0xd5e57878, 0xefc49318, 0x0cb74b72, 0x16ea578e, 0x051c5915,
+    0x5412632d, 0x2a81a6d3, 0xaa50a16e, 0x00d8ed55, 0xdf7c37af, 0x604304a1, 0x2dde2c79, 0xc5847dd1,
+    0x00000000,
+    0xf6865c8d, 0xffe56cb0, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000002251799813685248 */
+  { 0x00000000,
+    0xe8362f5f, 0x7772afc0, 0x702743e1, 0xe6d366be, 0x56f1d8e5, 0x1900edb7, 0xebc7f9f1, 0x99c1f94a,
+    0xafcb3525, 0x309ae5ca, 0xc37daf10, 0x6d635e16, 0xccff0830, 0x2e04cd28, 0xa7d55798, 0xfb700cee,
+    0xb0a86afa, 0x169c8a71, 0x20f33600, 0xe1cd000a, 0x3d3bf6ad, 0x5a511324, 0x2a78611e, 0x87f08ef1,
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+    0xcc3da485, 0x34c41cf1, 0xaa755482, 0x814fb619, 0x5af03c84, 0xf4588693, 0x90815fd5, 0x36ce7193,
+    0xe915ee24, 0xeed75920, 0xd2e48d84, 0x1c63ee58, 0x36488f54, 0xc976af79, 0xc482b6f0, 0x42c7a9bf,
+    0xbca05001, 0xd38cb656, 0xf9c34ab7, 0x76c0418f, 0x98ca3c7b, 0xe372aebd, 0x42bfaebd, 0xbd7f0418,
+    0x0364ad94, 0x56c31998, 0x2a06e0fe, 0x1cfa8d1c, 0xed7e24f2, 0xcc9fbbc5, 0x258a1322, 0x5609ce65,
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+    0x98783a60, 0x0edf4361, 0x32a3d097, 0x94db181e, 0x0883e103, 0x548c99cc, 0x157efe2b, 0xe12c7e85,
+    0x47b7f347, 0xccd3f734, 0x504de0ce, 0x3d86c94d, 0x0b1925aa, 0xab33020b, 0xa0950175, 0xc379e7f1,
+    0xe0de253c, 0x378dc67b, 0xf16bcad2, 0xc3e62630, 0x1b88980d, 0x02b02781, 0x0264ed54, 0xcda98b35,
+    0xaace28a7, 0x778e9a23, 0x52082740, 0xad0d0338, 0xe2ce9121, 0x286c3b0d, 0x01ab31cd, 0x2bbd6a50,
+    0x948cdaac, 0x330931f2, 0x7ea7d19f, 0x773dbce3, 0xf32aea37, 0xe15bc7e7, 0xb632d2ae, 0xb6a79543,
+    0x50a48155, 0xd54fa183, 0x84d7cb48, 0xb5f290de, 0x17c17a3d, 0xf602c455, 0x81952d5d, 0xd4849d88,
+    0xeb65ecaf, 0x63e2e72a, 0x1f2fe61b, 0xce2d9b3e, 0xc973b056, 0x469051dd, 0x391f56f1, 0xcfeb1923,
+    0x7c387fd0, 0xa4743f70, 0x5ce5fe26, 0x133c5168, 0x98c01d4f, 0xd67d095a, 0x1fd106f2, 0x04be7c15,
+    0x2fc5e477, 0x80f92e53, 0xb107ad87, 0x27de43b1, 0xa2f30f14, 0xfd0b80e0, 0x7c9853d5, 0xa8fd228c,
+    0xa2040468, 0xa1e5a922, 0xbb7a5172, 0xaf957cd0, 0x76bbc0ef, 0x33b85581, 0x8ce5c1de, 0xc66454ca,
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+    0xf6e141cd, 0x9ed33706, 0xfd60a7b2, 0xbe4004d4, 0xcd665e01, 0xe13dfbf9, 0xb878de06, 0x5886b925,
+    0xaf2bc0b8, 0xa8504552, 0x92bc88b5, 0x6fe72a12, 0xa9cff6ce, 0xd05b8d88, 0x27e5708d, 0x5f6b9f4d,
+    0x57586127, 0x962d017a, 0x36f57467, 0x283003ed, 0x8097d349, 0xfc3ec980, 0x23bf93da, 0x66d1f7e3,
+    0x54527d2f, 0x75b7c825, 0x3d061d96, 0xca0bd282, 0xa8f3b4b6, 0x25d3d19e, 0x99aea9c3, 0x15d6daa0,
+    0x11b4432e, 0x9b7138a1, 0xb8b3d75e, 0x02e997cb, 0x6a2186ab, 0x9c964d6c, 0xfc33ede5, 0xc88664bf,
+    0x2df4b0e0, 0x5b1b8218, 0x720acd00, 0x40f888b3, 0xa742f53a, 0x07850dca, 0x485b81f1, 0x22638f11,
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+    0x20f2630f, 0xd92f71b5, 0x3f7105bb, 0xf0e230f3, 0x495eb6ad, 0xa3b59845, 0xadffdfee, 0xc591938a,
+    0xf66a0909, 0x2f1066fd, 0xfd441a1d, 0xd5f8c0b0, 0xff7c12c4, 0xe054a72e, 0x31c7497d, 0x6344908b,
+    0x53d7a5b6, 0xea960f4c, 0x61bec498, 0xb6f340d0, 0x1e902705, 0x45a413ab, 0x4724e0c0, 0xaa4f91d6,
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+    0xc7b6dfd0, 0x805c99b2, 0x72767e39, 0x2368d191, 0xec912dc8, 0xb4a83474, 0xdbeddbbf, 0xe2097641,
+    0x592453e1, 0x595d79f7, 0xf6a53d3b, 0x43191bd0, 0xb21405af, 0x04e66af2, 0x3f5c09b7, 0xf870b82d,
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+    0x80639438, 0x1b9634a6, 0x952b97ac, 0xad7acbbb, 0xe286b299, 0xda01061a, 0x20c79462, 0xcdc05821,
+    0xc04cca98, 0x324811a3, 0xc74c1eff, 0xbadaf8aa, 0x714f7ec2, 0xab0cfc3e, 0xf77dad39, 0x19f43384,
+    0x29fb62f3, 0x910a0110, 0x0adfd872, 0x155ecb4c, 0x0d6034a8, 0x44f9492e, 0x1519463f, 0xcfd6e906,
+    0xc6d61877, 0x8550aee1, 0x83f0dfb6, 0x3d916ca0, 0x61aaee01, 0x516a5b21, 0x0d259dee, 0xcd1a0949,
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+    0x92f12082, 0xfd8ade75, 0xf8071029, 0x66ce1373, 0x805507ca, 0x7544e825, 0x55597149, 0xdae346ed,
+    0xcbcfa2eb, 0x558fc6a0, 0x5abb1b10, 0x2e847df0, 0x1676410b, 0x0757509c, 0x6b498c11, 0x9f0a5144,
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+    0x52148e41, 0xb466635f, 0xd55b4877, 0x18fac2cd, 0x9e24e646, 0xaa536e57, 0x289a5b50, 0xd15e1128,
+    0x6a31a53d, 0x817c1166, 0xca68592b, 0xd2760ce0, 0x4337706c, 0x409f8e6f, 0x846b21dc, 0xc4dd4338,
+    0x83a49ba5, 0x3ade83fd, 0x74e89af4, 0xf21d1163, 0x39994803, 0xa8058ade, 0x79c7dd13, 0xef729839,
+    0xe1b23c68, 0xa8d43093, 0xe876ca04, 0x27c2cd26, 0x8e005c29, 0x6794bf73, 0x5e377823, 0xc27a96bd,
+    0xaf303318, 0x2e3f4800, 0xf1a0eb68, 0xea9e7476, 0x44c6791f, 0xda26299a, 0x81d8136a, 0xf8639a51,
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+    0x25223163, 0xa0f5175c, 0x22072a1b, 0x2c8b5752, 0xf4e6dc02, 0xdbba614e, 0x36285358, 0xac8564d9,
+    0x98942f2f, 0x0d0a3adb, 0xc93d529d, 0x6ca28190, 0x4e1b339d, 0xd2fcf719, 0xdd176264, 0xa68b4ae2,
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+    0x76ba6cb7, 0xe630dfbe, 0x917ce70b, 0xe17099d1, 0x4786bef8, 0x4d8b11a5, 0x4474365a, 0xf9a19cd6,
+    0xc25f684a, 0x53827936, 0x40e98a88, 0xa035b46b, 0x2732bf49, 0x6358acc6, 0x0546edd9, 0x708a0e95,
+    0x330aa43d, 0x84c5f957, 0x8dc4028a, 0xbe61a225, 0x7bdc3081, 0x38a3d10b, 0xa1458c34, 0x6ff4247a,
+    0xdb69cdc6, 0x9593f66d, 0x19b8bb85, 0x33f9dbf6, 0xbd79d8bf, 0x371fb215, 0xc05d8417, 0x46dcf969,
+    0x34c53b75, 0x67bbc3d1, 0x9fa46992, 0x8392113f, 0x9c400496, 0xfd967891, 0x8ab4dccd, 0x394e81a3,
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+    0xb75354cf, 0xd5994a38, 0x9e73e179, 0xb2db456f, 0x498de2b6, 0x8560175d, 0x61c46745, 0xd5b7a420,
+    0x2c447e62, 0x3fe51831, 0xfcfc5edd, 0x2a91bbfd, 0x8fe8b99d, 0x7e6a2cc0, 0x3bda45f9, 0xbb402afe,
+    0x3f6a6b65, 0xd3ede005, 0x0ef650fe, 0x888f23c9, 0x9f47919c, 0x357b6919, 0x25c91bc9, 0xb78f027c,
+    0xbb5bb8c5, 0x591daa5a, 0x472abcd9, 0x6bc3eb45, 0x83351f69, 0x240e996a, 0x4b3b2054, 0x5371fb94,
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+    0x7f0278ba, 0x79fd10d4, 0xbe450d0e, 0xcc9b262a, 0x9e55c6a9, 0xf0989cb4, 0xe91e550e, 0xa06bba23,
+    0xc78ede55, 0x265ec615, 0xd2b70db7, 0xa7fd2388, 0x232d8c64, 0x2be57c47, 0x4c15e58e, 0x6c9416dc,
+    0xdbfe4758, 0x026fc558, 0xf019313c, 0x1d40af50, 0xe5f11be4, 0xc837aef8, 0x9debefd0, 0x4771b1df,
+    0x508a961c, 0x2d562eee, 0xe8ef9221, 0x10a46afa, 0x8bdce414, 0xe0b64c9f, 0x697a1c69, 0xdd961b93,
+    0x32e0a481, 0x49705832, 0x277adbab, 0xb0886aac, 0x0b9fa90f, 0x6bd2c1cd, 0x31b0b43b, 0x518f6ec1,
+    0xf1a44a9b, 0xb482492b, 0x68780fd0, 0xc5b2724b, 0xf7ccde06, 0xa7750c3e, 0xaf5e2100, 0x91b935e0,
+    0x7bc5eecb, 0xc43bc41e, 0x10aeae8c, 0x95c41ece, 0x1a32801f, 0x8a65ddd6, 0xd3ed91a8, 0x80b0da18,
+    0x3e96f49a, 0x55096a47, 0x95afe3d2, 0xffb3b5c1, 0x1c6109c9, 0xe82de78a, 0xedcb367b, 0x47835295,
+    0x0baddf05, 0xf44a43c1, 0x8743cc76, 0xadf72a39, 0xde17f67f, 0xdf6eb6cf, 0x40b51204, 0x82f5103e,
+    0xe8cdea8a, 0x0b29a6cd, 0x3f32dd30, 0x5367a040, 0xf35d490e, 0x24c544af, 0xe2319df9, 0x80a3cb54,
+    0xb4ecdfdc, 0xc5046631, 0x18ef4dd4, 0x31f86f9f, 0xfa9ea097, 0x1d5d19a1, 0x1b4e066b, 0x64e5ac5c,
+    0xf055a2ee, 0xebc824b0, 0xe7cccd0a, 0x3e847d40, 0x5949efa3, 0x13a1fd8e, 0x22084383, 0x97991f8a,
+    0x44323031, 0x7279edf6, 0x2507410d, 0xca8d71f3, 0xad8037f9, 0xb60205df, 0x8590163e, 0xf36b4f7c,
+    0x45393d67, 0x998ab0b0, 0xde6afbe7, 0xebff7917, 0xa78d01c4, 0x1cb73607, 0x5e39f014, 0x90ece45e,
+    0xada3899d, 0x4d91cc8b, 0x5d66091f, 0xda4a5333, 0x7f99853e, 0x124ab8aa, 0xf6853a38, 0xca0f3f09,
+    0x502e47d1, 0x11fa04c5, 0x62496c12, 0x49130916, 0x6f352c16, 0x243a868c, 0xba4cfdc1, 0x0e22831f,
+    0xe0871a84, 0x57ca14b3, 0x7999b469, 0xa06c3fa7, 0x10130db2, 0xa34d2504, 0x3b8bfd65, 0xeb7f47db,
+    0xe4d18e50, 0x465743ed, 0xda3fe488, 0xcde45634, 0xbf7a616d, 0xb5039aa4, 0xbe524818, 0x96206324,
+    0xffb141f1, 0xd411e051, 0x3d184e6f, 0xbb201fba, 0xd11abe1a, 0xbf20df26, 0x80e95efa, 0x5ebd2ae0,
+    0x09580be4, 0xd866d808, 0x28b20047, 0x87a06bfe, 0x2b6139eb, 0x56695442, 0x33fef027, 0x7a0c025a,
+    0x84b2e4ff, 0x505a0d66, 0x2bb55717, 0x201c0feb, 0x65d0d553, 0xdd4bce1a, 0x53dd888a, 0x4877474d,
+    0x6bbec579, 0x755c4802, 0x486920e9, 0x42875e43, 0xa1eb53c4, 0x5bdaa618, 0x57f86375, 0xa7182a5e,
+    0xd0114d28, 0x79d321fb, 0x1a7506cc, 0x36f0fb9f, 0x5b8961e5, 0x684ee1d3, 0x04aa68c6, 0x31834edd,
+    0x3d9a851d, 0x8a13d380, 0x17c212f9, 0x51e4a9c3, 0xc63de259, 0xd0dc368d, 0x36e6a79b, 0xffc05bb5,
+    0x5cdd7b71, 0x45c6eee7, 0x7339f6e6, 0xcec24b9d, 0x5d3a2f20, 0xf02fd24a, 0x693d01e5, 0xa0973429,
+    0x23b6c134, 0xb9870f40, 0xe3588d72, 0x63d54124, 0xf6c2f756, 0xb65978aa, 0xb7e58ae4, 0x83f08b38,
+    0x9d8745f6, 0x8d623859, 0x27505589, 0x784414ca, 0x91b12905, 0xd4f065d8, 0x1fc83436, 0x8f6d27a5,
+    0x94885412, 0x37efddc8, 0x690790bc, 0x947ec2df, 0x34795798, 0x9ebd12eb, 0x4529853b, 0xd63a32a1,
+    0x1e1c4fde, 0x0585f5cd, 0xce133359, 0x95bb9436, 0x6fba2785, 0xc64bfc41, 0x5994f996, 0xf6588b30,
+    0x2f47ce4c, 0x78bafd0d, 0x33135e2d, 0xbf237b3f, 0x4f648831, 0xa5deb0d4, 0x48c45638, 0x0d16d2c9,
+    0xf83522a7, 0xf3c3ad36, 0x0137d077, 0x998c2f24, 0xd1ae4593, 0x90832999, 0x86ba81b1, 0x06f34ceb,
+    0x8a15bcd3, 0xd69a3ae2, 0x686a8970, 0x8f437274, 0xb0df03ce, 0x7ac3bb10, 0xcfc266d1, 0xedef2d34,
+    0xe26d5c23, 0x55ee7f8f, 0x126e3dcb, 0xaa6261f2, 0x08548886, 0xc5431800, 0x9333696f, 0x065044be,
+    0xd05a80aa, 0x6ed0bc9c, 0x4339bd13, 0x93d2365b, 0x4e7855ba, 0xdeff5d95, 0x44caab0e, 0xcd013b62,
+    0xcdef3e5d, 0xbe6167cc, 0xca618a35, 0x8e9866fc, 0xac5a5d3a, 0x49328db0, 0xcbc5bc9d, 0x64b6b1d5,
+    0xc00f0781, 0xc3b3d5c5, 0x9cba66a4, 0xed251d34, 0x19f5a857, 0x00fc8728, 0x93390263, 0x1e903606,
+    0xcf43e597, 0x02d79b0b, 0x74c650cb, 0x43feeda5, 0x573e218e, 0x4691700c, 0xe7384838, 0x1658a4bf,
+    0x23eee841, 0x7b1a1e44, 0x027ce274, 0xf9cbe807, 0x0696a36a, 0xd3a31789, 0x5bfd9bae, 0x87040edf,
+    0x95ac2a74, 0xd993a1cd, 0x48163c4d, 0xc12c3f8e, 0x81043335, 0xeffc9a62, 0x77c17053, 0x963e633c,
+    0x363a39bb, 0x21b03524, 0x5a3bb717, 0xa903a664, 0x17070f0e, 0x0d20cb62, 0x8c04a5a8, 0x9146d6c7,
+    0xf09c7254, 0xa7f2156a, 0x20b70b97, 0xfc8fe271, 0x61f9e2db, 0xf3268ced, 0x067de0a9, 0x8b9a08a7,
+    0x40b48891, 0x7a438533, 0x389a36bd, 0xf728a292, 0x2507dec9, 0xbf5a7de4, 0xe450d5f7, 0x2d431229,
+    0xb4952d4d, 0x4c8dfe6c, 0x6bfeb7af, 0xac0664b7, 0xf9b1191e, 0xe42e84a5, 0xd2a7168d, 0x238d90e8,
+    0x0e4cbe29, 0x2797aeb4, 0x3e1a01b6, 0x85971ba0, 0x77810474, 0x52e1c564, 0xecd4a183, 0x43a4056d,
+    0x7b7b6e00, 0x5c0b267c, 0x017ffcf5, 0xc419d944, 0x3763fafb, 0x83a0b9bb, 0x5d9d7059, 0xb639f293,
+    0x4e8779fd, 0xdeb1babc, 0x4e4385c3, 0xa1b7f8b4, 0xfee463ad, 0xb4e0d54b, 0x734b25b8, 0x7c6bc92f,
+    0x18dc775f, 0x89ed4367, 0x80b1ceb7, 0x7f47c673, 0xf6ba21a0, 0x7f0c7462, 0xf0718176, 0x1dd4ae27,
+    0xc88e7afd, 0x800acf8b, 0x6e06cede, 0x36560b21, 0xd7813011, 0xf9252882, 0x4a3cca90, 0x5a1a8ee8,
+    0x39202685, 0x65de8be6, 0x61f969af, 0xf89adf8b, 0x9e7ff547, 0x87e07702, 0x29292f31, 0x444bf488,
+    0xf79013fe, 0x4933d835, 0xb5b6d383, 0xfcf6efd4, 0xb584b2e0, 0xca97972f, 0xc46301e3, 0xb6eff5f8,
+    0x9d763091, 0xb13483ee, 0x39f7ebba, 0x776bd19d, 0xd2b3b7f6, 0xcfc18394, 0xe6ca65db, 0x6b302bc7,
+    0x5e4c0ee3, 0xc4582d60, 0x2258d9d3, 0x63ad1c7b, 0xf3520dfa, 0x128a6f26, 0xa6204586, 0x26e0fb7f,
+    0x1c13b017, 0x858478ca, 0xd8548cb2, 0xf936e4b6, 0x387946dc, 0x40183048, 0x6eac0758, 0x9f0100ba,
+    0x00000000,
+    0x7b432e46, 0xfff2b658, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000001125899906842624 */
+  { 0x00000000,
+    0x1bd7a556, 0xb5e753e6, 0xe603d49e, 0xf4f6d79e, 0xd1499971, 0xe3ef1fc5, 0x18d341dc, 0x80487b3e,
+    0x4ad4031b, 0x2d6cccdb, 0xacf0c8b9, 0x9bf0432a, 0x17ea86f3, 0xae7225c0, 0xc44d3a8b, 0x0e54d05b,
+    0x51857955, 0x1a1803b9, 0x79cd8775, 0xc404dd27, 0xb34725c1, 0xdd725f20, 0x2515a5b3, 0x600d37a3,
+    0xb57ef7e5, 0x98e0e98c, 0x1b86f30d, 0x5875647c, 0x9e3ca70e, 0x96ad1ae1, 0xb1aea8a0, 0x906cc6d4,
+    0x54ed6be0, 0x109ea8de, 0xaaa75e5d, 0x346c1f63, 0x87cb3e43, 0x0be2b54f, 0x00d4b56e, 0xd7d97e6e,
+    0xc7efe911, 0x08ff2e76, 0xbd89e9a6, 0x839063bb, 0x89c1c163, 0x02113c78, 0x19ca551b, 0xb7077c4c,
+    0xab8b6715, 0x7a1314a6, 0x4d93eb5e, 0x7fa6e9c3, 0x7cd63fd6, 0xc75872ed, 0xf1679f29, 0x55024b7d,
+    0x9f51143f, 0x8866ed35, 0x0b8c3146, 0x6254111b, 0x4c3b382c, 0xa705c6e8, 0xac355d93, 0xe732777a,
+    0x745bf6f5, 0xf3893a04, 0x3f138414, 0x6b3c5c00, 0x10675023, 0xb4ea6ca2, 0xd9077611, 0xb1a2e1d4,
+    0xc1ac28f8, 0xe5765c1b, 0xf2229162, 0xa66e27b8, 0x935c6585, 0xd4ee4b0d, 0x4bc672b2, 0xc1636a7a,
+    0x9600d1ce, 0x335db663, 0x14f9e79c, 0x6edc531b, 0xa1801641, 0x8163fabd, 0x41b371b4, 0x9912fbe9,
+    0xa3aa3d55, 0xd7683900, 0x1c2498d3, 0x56fc3739, 0x01c6ec6f, 0xf143c8da, 0x5f7ddb82, 0x1227a165,
+    0xd8977b6a, 0x9b3a55c0, 0x69c8e0fe, 0x675caf6c, 0x54315127, 0x5758706c, 0x9b5a4315, 0x853fe19b,
+    0x57b9e4d6, 0x354fc932, 0x679fe1e3, 0x55ff1a98, 0x71582b91, 0x9b87e1b9, 0x97bca9d5, 0x0e041f47,
+    0x434aa0e4, 0xbfc5d79b, 0x0e7c3ed5, 0x064bca2b, 0x5e19f661, 0x2f4200c4, 0x5373b339, 0x862e9d4e,
+    0xd3d582ca, 0x1b57c3aa, 0xb4f535fe, 0x4b308781, 0xfb69d60d, 0x988e8f03, 0x3a8c24d0, 0xac2adc37,
+    0xb3ba2293, 0x9c1ea647, 0xb947d2fd, 0xb4df60ca, 0xfe8e0080, 0x394c6dfb, 0x417f2541, 0x168fbb62,
+    0x544d50b3, 0x135250f0, 0xe9c4eb7e, 0x72ef3f7c, 0x44bb3bf7, 0x31cd407a, 0x5944db34, 0xc1f427f2,
+    0x688113a6, 0x59bdc7ee, 0x7a9ad84a, 0x4556649c, 0xd6cd549e, 0x9bef991f, 0xa1f613af, 0x8bdaadbb,
+    0xa02e4df0, 0x42707305, 0x63839f63, 0xe7397efa, 0x6cc98adc, 0x3db5f115, 0x9df430df, 0xf49057b0,
+    0xc47152ad, 0x0c4c10fa, 0x75aee84c, 0xf1418992, 0x6b61ece2, 0xd9cfbf5d, 0xcfe1e038, 0xdd813d1b,
+    0x8582fb8d, 0xc8bfc335, 0x181f8e45, 0xdfa9280f, 0x9ca61583, 0xa0d5386c, 0x329500e0, 0x6edcb9d8,
+    0xb46c2077, 0x94ded105, 0x39e00ad0, 0x959e8d4d, 0x631a4e36, 0xee24822f, 0xb19388d4, 0xb7094f7b,
+    0x53400844, 0x3fc6baf3, 0x999052f7, 0x661738b7, 0xb1da00e2, 0xc493eebd, 0x386c5171, 0xf772bd1c,
+    0xf107bce2, 0x3ff75ceb, 0xc6a75edf, 0x62109387, 0xb62af665, 0xbea62522, 0x47cb418e, 0x6ee517d5,
+    0x4d0dacb0, 0xaa612806, 0x6ada9eb2, 0x15b1ce4d, 0x17999ea8, 0x0f28523f, 0xf0a2ee62, 0x9caae582,
+    0x7de7eadb, 0xd598733d, 0xdcb1c10a, 0xdb5f7326, 0xdc462057, 0x0544df3f, 0xcdd2c6be, 0x83fe74b5,
+    0x097d90ee, 0xacf6d3e7, 0x79432bbe, 0xb24eb179, 0xbf7f1c82, 0x71064339, 0x0e91a7b8, 0xa6d55ae4,
+    0x6ecfa421, 0x6ff38a60, 0xf5ef6e9f, 0x60286f47, 0xc2d43cdf, 0x5b8c238f, 0x3f723f23, 0xd9040583,
+    0xc7ccb341, 0x972a2cc1, 0xf9d96e0e, 0x592dce51, 0x229ce907, 0x9d146879, 0x79f15f78, 0x24436f55,
+    0x28159e94, 0xa6361115, 0xc902259e, 0x721d8ca8, 0x4bd2ce76, 0xe6ac23d6, 0x59c926fb, 0xaad77137,
+    0xb8d8e4cd, 0x339268fc, 0xcb53e429, 0x1de20c1a, 0xde42d29d, 0x4fff0406, 0xf8e9c4a6, 0x04dbb36b,
+    0x2174af41, 0xca458e2b, 0xa92b23f6, 0x3d4301ae, 0x24fcd446, 0xfbb6d703, 0x30462524, 0x820ec7ac,
+    0x5260dbf7, 0x26fcd086, 0x3838f72c, 0x529a9f24, 0x852c6da8, 0x3adb5f41, 0x379f59b7, 0x6ea855d5,
+    0xde7e2ee2, 0x43a90a75, 0xcddd9cd6, 0x28aa4298, 0x69015432, 0x9adff77b, 0xdbffba38, 0x10109e38,
+    0x711da7fc, 0x9a84dd8e, 0x30cd6c18, 0x435cbeba, 0xae9bff95, 0x01ce0500, 0xdede5c18, 0x4e29a084,
+    0xe3aaf1cb, 0xfb0edc76, 0xa325ad29, 0x30ae6503, 0x19417bc7, 0x2835c414, 0x7dd0b66b, 0x5cdc89b6,
+    0x93183ae9, 0x7313a893, 0x0e2563af, 0x50e5ded5, 0x3282c674, 0x544a4b78, 0x877a2922, 0x24a96d27,
+    0xb00547f1, 0x419c6ce5, 0xa511cb1e, 0x7fb1bd4c, 0xdf7169e1, 0x1e0dcd7c, 0x81a1d473, 0xfab01630,
+    0x6e3f9e93, 0xe2e5fca1, 0x182b8698, 0x5eb7367b, 0x485d10c7, 0x35bbd2c8, 0x3e71c974, 0x79732e50,
+    0xc4ada2b2, 0xf860d25e, 0x68b6e42c, 0xe745f251, 0x052a7607, 0x585de8de, 0xe05ff7ec, 0x181e62d3,
+    0xab8c86ae, 0x176626bf, 0x962c68ac, 0x8d529398, 0xe14f514b, 0xae8cefbe, 0x4f93248c, 0x1393ed97,
+    0xbaf73ffa, 0x6a30a252, 0xce5e9907, 0x6c55b865, 0xf86ef2bf, 0xb42b9dbd, 0x5302d5cd, 0xf02cd701,
+    0x4324c7ef, 0x78685eb1, 0xfa9832ca, 0xc79fb37e, 0xf88b5270, 0xe945d987, 0x51ee9afa, 0xc1347b98,
+    0x7c7eb347, 0xdd73da6d, 0x6f8f0d69, 0xb6313491, 0xac1b52f3, 0xabf579c3, 0x33e72b27, 0x0ce7005c,
+    0x8f0b1553, 0xe11bca3d, 0x8d6b2f7c, 0x3aa1073e, 0x1bbec00c, 0x5c04e2db, 0xc749f0ef, 0x0ff06c2c,
+    0x02ed627f, 0x39220e53, 0xe9d80eb0, 0x95e6cd22, 0x9a982d64, 0x4faace1e, 0x4c250c84, 0x894ca824,
+    0xf20c0de7, 0xc2bd5b23, 0xb4b8b524, 0xf2d264d0, 0x35c4912e, 0x19c95724, 0xd1f28004, 0x9b0c647b,
+    0xd6d9e70a, 0xd2e75317, 0xd7294952, 0x77584f7b, 0x30eb60e6, 0x0123add1, 0x76b3ac57, 0x27c7ab75,
+    0x30931db6, 0xbb1f0cb0, 0x6d53681b, 0x6d4b729d, 0xa189df57, 0x8fe2f456, 0x91e178cd, 0x1d36a5c2,
+    0x50b8f267, 0x77020cdd, 0x388a0fee, 0xfe362025, 0x1113e557, 0x32e636f9, 0x2ed42241, 0xb1e14c30,
+    0x9b06c1c0, 0x5668efe2, 0x031d35f5, 0x60378bb9, 0x7132ea4d, 0x0030e8cd, 0xd3d29a1b, 0x8811106b,
+    0xbdc26fee, 0x950be1e1, 0xca3a6751, 0xa1e0c4ca, 0xe234c79d, 0xd353065c, 0x58f60687, 0x2b9c00e3,
+    0xf3c632c0, 0xf6c64b60, 0x50a7c6ab, 0xea9a2ce4, 0xc6e8ba07, 0x644e59c6, 0x97ea28a5, 0xf5626650,
+    0xa200d842, 0xb93f56b4, 0x0849b4f0, 0x22c4a69b, 0x380ff9f4, 0x4802525e, 0xd4775b44, 0x2bba49ec,
+    0x7aa8a651, 0xbe0d3439, 0x6b04a2b4, 0x78419055, 0x92d651f5, 0xb4e59bdc, 0x02c62171, 0x361d10db,
+    0x34dfa0d2, 0x03823a24, 0x00ed536e, 0xf45ebdfc, 0xb5ee6455, 0x8d3f808d, 0xd8b04276, 0x83a061d0,
+    0x30d02945, 0x531ff782, 0x48aeb380, 0x0826b8c2, 0x7bcebcda, 0x44eef972, 0xfd361e0c, 0xcbbb7043,
+    0x6a95e97f, 0x118c1f8d, 0x49a8abd7, 0x5eff692f, 0xe90eb32f, 0x899a389a, 0x82878fcf, 0xfab11e01,
+    0x41018e30, 0x1c2ed2ab, 0x21a3db33, 0xc9939cc4, 0x7c5d1dd0, 0x4858e5a9, 0xc23125a2, 0xe6187a07,
+    0xa892a7af, 0x4c4dc2ed, 0xe6cacb3e, 0x85593c20, 0x2ce1ec72, 0xf31a5eb2, 0x84078c61, 0xe85d14bf,
+    0xce086b0e, 0x03347bd6, 0x138590a2, 0xcf588517, 0x2ee5875b, 0xa3d365e1, 0x8fa1c60d, 0xc05091a2,
+    0x1bd42106, 0x3bd444af, 0x60509d88, 0xac8bcab5, 0xfe4b9396, 0x897362b0, 0xcba21375, 0x6df3e534,
+    0x4d87fe45, 0x2727c0d5, 0x82e95882, 0x1e3646f9, 0xe20efbc8, 0xe54511fb, 0xb1f476ae, 0x704c6e05,
+    0x2dd53752, 0x4d5a0b31, 0xc76cd8fe, 0x340895ab, 0xb0131404, 0x7a804fdc, 0xdabadee9, 0x0285880f,
+    0xc81d6194, 0x07cea095, 0xe908be8d, 0xbf79b07a, 0xb86a3879, 0x963cfcb3, 0xd34a6ce6, 0x98c60d09,
+    0xa67ce0e3, 0xbddec28d, 0xae1ab10c, 0x253c4ff1, 0x08b106ce, 0x17ff5c91, 0x2f0f0b86, 0x7a3f76ff,
+    0xf5c8c063, 0x850f4c9c, 0x1c2c0d38, 0xf79699d8, 0xefc4fa73, 0xc1bf1954, 0x649c21bb, 0x603b9fd5,
+    0xc7917366, 0x9302f5a0, 0x1fc35af4, 0xbdbdba84, 0xb223d5af, 0x9eef2f3a, 0x5336a7b8, 0x9a36d547,
+    0xdfb424be, 0x4904984d, 0x774627d9, 0x3f87abcd, 0x5504d77a, 0xf7f76799, 0x029ca3fe, 0xd1671d6d,
+    0x15c689e8, 0x94b583d8, 0x9387e546, 0x33323e85, 0x5cdca542, 0xd0bf2b5e, 0x4525fe21, 0x697492c9,
+    0x3aa1a776, 0x961add19, 0xeeb6ef7e, 0x31290bc9, 0x1db02447, 0x49ea1c7a, 0x6e746482, 0x974859d1,
+    0x44490d17, 0x97218875, 0x9cef9fce, 0x905fc306, 0xbd3a8b3a, 0xe9ff32c3, 0xb88419f8, 0x56c80f6f,
+    0x4fd52c3c, 0x4fb845d1, 0x102a4c90, 0x53ad78f3, 0x61c8a546, 0xf4114786, 0xeec56233, 0xc7191e1c,
+    0xa8f34f56, 0x98fa8a8e, 0x4e790ac8, 0x7b521ae6, 0xf0a77be7, 0xb7782791, 0x0f5baa71, 0xb635565a,
+    0x2a5849c4, 0x5af9fe89, 0x86d26397, 0xad472e63, 0xc7b02945, 0xeedcfe57, 0x658f69d9, 0x80bdd3b2,
+    0x9f1b6c49, 0xeed40bfd, 0xcbdf622d, 0x03a0c8ca, 0xa9a98cbb, 0x7be3bbec, 0x2a00e48b, 0x6a9c5295,
+    0x37cd80fb, 0x20db4728, 0x9df2ac12, 0x133ddc0c, 0xaa8e17ff, 0x6e524d19, 0x94abbc0b, 0x5606bbd8,
+    0x24bba33f, 0x9f0b8887, 0xc2dbdd63, 0xc8ab8c52, 0x1670ee59, 0x4d4477f2, 0xef858d72, 0xeedb3646,
+    0xb6bb21a2, 0x290d967a, 0xbae8d244, 0x467c8b90, 0xe8743b4a, 0x37f4ba47, 0xbd860043, 0x4c8b1931,
+    0xc2532556, 0xd9118d6d, 0x6871459a, 0x47598dcd, 0x53b7ef4a, 0x7ae607ad, 0xba5f7caa, 0x1b592045,
+    0x384d6578, 0x31a5d970, 0xd8688c8b, 0x52cfe81f, 0x5c4b68e8, 0x13616bde, 0x18f0e0de, 0x172575db,
+    0x86d7770d, 0x7e3e3ea5, 0x50b008da, 0xbae8f0af, 0xe29c234a, 0xd19d6c98, 0x2d85be27, 0x6dd6f029,
+    0x33a7ef89, 0xb863ecc9, 0x8ba54487, 0xa37c6648, 0xa9f599d2, 0x25ddc2c6, 0xaaf65087, 0x5147664f,
+    0x27fc2393, 0x7797a414, 0x5ad23e84, 0x2f98c2f3, 0x3cdb8628, 0x46405aba, 0xcb0c3379, 0xbb877668,
+    0x0985cef9, 0x14e13624, 0xfa08ea60, 0x636b5251, 0xd606899d, 0xfa6c193e, 0xf44ba267, 0x8cca4991,
+    0xe629d99a, 0x5c26b146, 0x110174d0, 0x8798c426, 0x4e62c2d1, 0xf9db71a2, 0xbbd07727, 0xdc010dd7,
+    0x84ebba01, 0x908b15ad, 0x3b4c128f, 0xf1babad7, 0xc5ec95fc, 0xdb32ade0, 0x7a3c097f, 0x0a9a429e,
+    0xf1d04e98, 0x4dd8fb27, 0x1ea2e4c5, 0x0913f15a, 0xba5f7e75, 0xfab396b4, 0xd8e28092, 0x799b1038,
+    0xf3cd3c85, 0x4d66150d, 0x3d2a4e1f, 0x3f3c104b, 0xac125114, 0x69d57101, 0x89c1bf09, 0xd08413b8,
+    0x9a965e96, 0xcd7736d7, 0x59e76e57, 0x14faf229, 0x265b680a, 0x363a3104, 0x436bdf3c, 0x82d18832,
+    0x666c7b87, 0x40fd1929, 0x5838810a, 0xdaba676b, 0xcc97fcb3, 0x90c903c0, 0x31cc9182, 0x1da0f38b,
+    0x7f18fe4d, 0x1b4ae6cf, 0x2562ee37, 0x8ae6c367, 0xecdc7ec6, 0x520e9a3a, 0x9a7fa66b, 0x80627dc9,
+    0xadce5bfd, 0xedbf23eb, 0xa4a5687f, 0x24aecb27, 0xd6f66bcf, 0x91a7962c, 0x759b6e57, 0xd37c4ce9,
+    0xacf9dd67, 0x008f757a, 0xdd7c81c0, 0x78bc5745, 0x9c8603aa, 0xebf80209, 0x6529857b, 0xa649d4b3,
+    0x5811fa2a, 0xfc8a597a, 0xa71dd22e, 0x056e4181, 0x11d6950b, 0xc61fcb69, 0x0e09f97c, 0x729a0dd4,
+    0x491cebbd, 0x1224f9fd, 0x4502aadf, 0x0a9fb40c, 0x2774777c, 0x7c70dad6, 0xf30d2fe8, 0x4a38f054,
+    0x43d2b1ec, 0x3782a8cc, 0xc97e36a6, 0x87cdbe7f, 0x0bf19537, 0x5ced3a9c, 0x3998c3e9, 0xaec13161,
+    0x834151b0, 0x78e6fc7f, 0x28156d24, 0x19d8ed4c, 0x47cf1f09, 0x8af71536, 0x43c722e3, 0x134b3a33,
+    0x450112a2, 0xde17f31f, 0x323e593b, 0x45a94937, 0xa0a2d4bf, 0xbb0ed6f1, 0xf7059e55, 0x764ed876,
+    0x07443c02, 0x07df8c44, 0x6b293457, 0xfb838882, 0xeda8c5bc, 0xf7705868, 0x7a499f25, 0x0b454786,
+    0x56821139, 0xc89efc83, 0x55494b87, 0x5b80afc4, 0x7660c6c2, 0x4adb5a7f, 0x2635e01e, 0xbcc658f9,
+    0xa64546fa, 0x7b54e44d, 0x0a3fc6d4, 0x9f56e615, 0x7073b6a7, 0xd98ba9a9, 0x1ca46b4b, 0x6c9a79de,
+    0x6482a999, 0x54eae812, 0x0469f7e3, 0xc0969b80, 0x6499c172, 0xd13a2046, 0xb706a717, 0x4eb024d4,
+    0x9396ea2f, 0x553c34f9, 0x62b0b604, 0x9a372cd6, 0x3141ef06, 0xa777e542, 0x517c74ee, 0x62027f92,
+    0x27c3be23, 0x2b8c8553, 0xd19ee994, 0x0fbefceb, 0x3496219b, 0x8c9313ce, 0x432d6072, 0x4321bd9a,
+    0xe5d49ec7, 0x7c004d2a, 0x65af5fcc, 0x0a426533, 0x887c5bc1, 0x874d2e8b, 0xebb11016, 0xfc8db5b6,
+    0xf8c903a0, 0x18d138b4, 0x0c88b583, 0x7a3e3db5, 0xd8f93e14, 0xeb12ce2f, 0x82f6aff0, 0xd93124cf,
+    0xdcc9df66, 0xe35f0cd9, 0xe9c26c9c, 0x85aa7000, 0xa674578e, 0xd35acabf, 0x73074f5c, 0x55cc4ea6,
+    0xfc1bfd2a, 0x803d518c, 0xd87f249a, 0x316b670e, 0x46941b01, 0x923a8f03, 0x94e03099, 0x583b7e7a,
+    0xb63e1fa4, 0x01c69c2d, 0x1116bd9e, 0x974476ee, 0xdd07d773, 0xb9326922, 0x24381d43, 0x0d022e9c,
+    0xccdfe2ce, 0xb8ab2f74, 0x5ee338b1, 0xfd3db357, 0xc3346703, 0x3ea84953, 0x11f55b46, 0xf51f1dcc,
+    0x68ab88f6, 0x383c483a, 0x71fa79d6, 0xe1cb030d, 0xc6c824e9, 0x28020cf2, 0x8731f9f0, 0xfa8af8c3,
+    0xa6558aa5, 0x882c18d9, 0x6a3b53f1, 0xe88c9a35, 0x46dcb5bd, 0xac283d98, 0xc3c2f82a, 0xbd9dca34,
+    0xad1a9dce, 0x93fbc847, 0x33aff7c9, 0xbada9d34, 0x1359d7c8, 0xff8e50fe, 0x24b58e3b, 0x3ec61ede,
+    0xf01b26fd, 0x83eecbc3, 0xbaa26d80, 0x4decb33a, 0xd68222a7, 0xd7071797, 0x1b33144e, 0xe3ea6f19,
+    0xc64490ee, 0xfa4d98e6, 0x49b40cd1, 0x9015b0d7, 0x64b7a4c1, 0xe792e293, 0xe772ef60, 0xbd80457b,
+    0xf86bd917, 0xf720cc0e, 0x4c8f3ceb, 0x77013e6d, 0x8916d4e5, 0x2865f8be, 0xede5c393, 0xc6d15e41,
+    0x70f32020, 0xefaf67dc, 0x02089f36, 0x8429ebd4, 0xc7918fc9, 0xb51d588c, 0x52cb58e5, 0x1b8f424f,
+    0xd8d8086d, 0x6f540e5e, 0xcb11b3ad, 0x631c63d8, 0x6f10ac5b, 0x2b9a900d, 0xa229ab35, 0xdc34008f,
+    0xfa28a8cf, 0xd45c6563, 0x77fa0856, 0x987c21ca, 0x052eb916, 0xf3c7c7da, 0xebb63a71, 0x4e20e750,
+    0x5bb5171f, 0xaf939d1c, 0xe500c307, 0xd8e0bfb1, 0x0ae0ce20, 0x406817ed, 0xd28d4556, 0x42827ea9,
+    0x4c274440, 0xa5eae5ee, 0xc465ce89, 0x01030a22, 0x5e03a801, 0x53353e23, 0x3b593a52, 0x6cbe0aa7,
+    0x990578b3, 0xf4403218, 0x7af65eef, 0x9417dc61, 0x731f0f22, 0xeb0bd9a6, 0xa0562d2e, 0x20b8af73,
+    0x2ca7b69a, 0x1407004c, 0xdfd6338c, 0x106e38e6, 0x3a5553c2, 0x0f489325, 0x37ddbcff, 0xa22ef776,
+    0x93e9c87d, 0x6647e666, 0x3922fb53, 0x80235823, 0xc27b37d1, 0x84d69bb0, 0x0fffdf64, 0xc9c13b25,
+    0x00000000,
+    0x3da19722, 0xfff95b2c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000562949953421312 */
+  { 0x00000000,
+    0x8e629ec4, 0x8f73466d, 0x8f5bf8fc, 0x7f35d5b2, 0x6c1aa9ad, 0x83a9b22c, 0x79fbe249, 0xa095ad02,
+    0x6cba8902, 0x71a00547, 0x4ec4ac1d, 0x68ee3202, 0x0a084eed, 0x0ed3a71d, 0x6b0333a8, 0x0b2e5f9f,
+    0xd7c7a57a, 0x98f28c3e, 0x6fe088ee, 0x496021f5, 0xd6e4d1f3, 0xba403ede, 0xd1082933, 0x6e69bf4e,
+    0x898e2d3a, 0x1f47fce6, 0xf5e0c9b3, 0x9e5bf3c2, 0xfc89e5c8, 0x579add0c, 0xda79f1b2, 0x44438889,
+    0x22f37fbf, 0xcc3f82dd, 0x7eb541d3, 0x36349596, 0xe24ce145, 0x3bae3628, 0xcc02710a, 0x1dff2522,
+    0xfecda9e4, 0x8f87e969, 0x03850c12, 0x79ce577d, 0x9c4eaaf5, 0x94e39450, 0x426d1d98, 0x349975ef,
+    0x45ef5661, 0x9be3bec4, 0x65ad7392, 0x688d5c61, 0x787e95ce, 0xbe21fded, 0xe4e77748, 0x15297b3e,
+    0x203ce2a0, 0xdc3e164c, 0xe486cdc4, 0x15f594dd, 0xa76ded22, 0x9b413544, 0x530324ac, 0x94e4a562,
+    0x8848b98c, 0x9f16407a, 0x51e5ad3d, 0x519620ac, 0xd975b897, 0x4da6da19, 0x26bc0275, 0x02697247,
+    0xdc462f46, 0x5c43b377, 0x99020ef6, 0x8f995185, 0xa2dfb337, 0xc5e6697b, 0xb6b526a0, 0x81c44d99,
+    0xb9b7562f, 0x974f52f3, 0xd0a2bd5e, 0x631b528f, 0x4e1e4927, 0x738b2f81, 0xec2b9a41, 0x7a662404,
+    0x89f38d0d, 0x8b476812, 0xbc10b7aa, 0xe11f62dd, 0xfeb124ba, 0xbb160a38, 0x88ad13d7, 0x8ae5cb6a,
+    0x64462738, 0x74641719, 0x7a39e109, 0x0511bb13, 0xe857d1c3, 0x95427f88, 0x3d0d8ba2, 0x1a82de26,
+    0x429b5e42, 0xf48f548f, 0x36b59cff, 0x22c57ebc, 0x282bd44e, 0xc7fada05, 0x6bbb1952, 0xae667a93,
+    0x6eba9d7a, 0xd3a60a12, 0xd48b37fb, 0x74f96fd3, 0x3b65202a, 0xfd247a21, 0xe1877f6c, 0xc9a77273,
+    0xbfbcfa97, 0x3451c65d, 0xda8a33a7, 0xfe2b7ec0, 0xda759b30, 0x109ceea0, 0x46023d44, 0x3124087a,
+    0xe74fceef, 0xfb560047, 0x271f4bab, 0xaadbf7b2, 0x76c1c759, 0x4596e144, 0xf54fd375, 0xd3f0d8e4,
+    0xada1b45c, 0x0d3423ee, 0x629f1664, 0x6c17504f, 0xbb2963cb, 0x9247ecd5, 0x5bd9d6a3, 0xb812be6d,
+    0xcd902859, 0x8b5d55ff, 0xd4cc027f, 0x0e6432a1, 0xa0f317de, 0x1145b188, 0xecafd9fc, 0xe446a473,
+    0xdc025312, 0x131b9da5, 0x55f436a3, 0x28b6e18d, 0xe9d40154, 0x613a6da4, 0x8489fc45, 0x310556d3,
+    0x34bef1b4, 0x4533d7a4, 0xd4f2f951, 0x660aa45d, 0x94953d71, 0x0016e508, 0x90ee8d29, 0x9085f30b,
+    0x79ce5544, 0x3c4fb4a2, 0x8e288bbb, 0xe0e4dcc3, 0x5f3378ff, 0xe78b2aca, 0x9930a77c, 0x4704f073,
+    0x64190283, 0x014fab75, 0x5fcf1666, 0xbb7da282, 0x151f8dc5, 0x9dcb8935, 0xd10a29e0, 0x11ebc0fb,
+    0x5a053abe, 0x17783fc8, 0xad038e1d, 0x288f24fa, 0x2c893491, 0xde11e7d3, 0x2892537b, 0x8aabb51c,
+    0xfb565e6b, 0xc416bdb8, 0x461a44d1, 0x73b62973, 0x1d0115b1, 0xd841bb59, 0x324b5d31, 0x9ff77064,
+    0x71164e9f, 0xea10a9c1, 0x61ea8037, 0x1a6ccf19, 0x5bff8b47, 0xa7d2296f, 0x731887c8, 0x7e81aab1,
+    0x5c8b5444, 0xd4d1d4df, 0x2152e668, 0x575210c0, 0x59f3e3f3, 0x6856ccb2, 0x597aa548, 0x861da720,
+    0xcb914e53, 0x9a6aff49, 0x74d538a3, 0x8b6a567f, 0x7003a7a0, 0x4dbe4a35, 0xe52c5f5c, 0x3ce0c6d8,
+    0xac282192, 0x92a343e1, 0x6a21ac13, 0x1a18d64a, 0x8d588529, 0xec2ea7da, 0x00e769c5, 0xd6a2ceca,
+    0x4e44ea7e, 0x3d8531a4, 0x9134ad06, 0x0848e9cb, 0x6104587b, 0x335d9343, 0x70647df4, 0x92afe6b0,
+    0x28d5b48a, 0x8fae12db, 0xad04b8ee, 0x8e50b912, 0x4dbb6c12, 0xc9de52d9, 0xc0a2c59a, 0x29cbcb09,
+    0x6d03f3a1, 0x341d8404, 0xe06947e0, 0xa2bbdbef, 0x726d5b81, 0x3f9df4a7, 0xbe52b419, 0x8b8fed21,
+    0xdeba5086, 0xe224234a, 0x192cdb1b, 0xf8cf4e24, 0x23efa4e8, 0x19c3aa71, 0x33d55566, 0x74ea240b,
+    0xed84d26f, 0xe5c23c16, 0xee43982d, 0x9ccf263c, 0xaccaabe8, 0xd267505a, 0x40b92801, 0x6c603107,
+    0x11ece96c, 0x9ddd3c6e, 0xe20fc18d, 0xfd71bf94, 0xae0a0400, 0xf074129f, 0x087de34b, 0x30ddae4a,
+    0xb961f933, 0x3443e9d7, 0xab830efe, 0x91092806, 0xa0cef2f8, 0x8f612eef, 0x8a866725, 0x291ce8c2,
+    0x8a85d36f, 0x402e3ac3, 0x59306315, 0x0bc67541, 0xcbcd038e, 0xa7dc623e, 0xb2183d52, 0x725f1557,
+    0x98b03f05, 0xef7f337a, 0x50df5341, 0xde8db710, 0x954f75f8, 0x82841d52, 0x1fc43ad7, 0xbecbd99b,
+    0x769588f9, 0xa7f7030b, 0x309b6254, 0x35290e82, 0xb51da4a6, 0x51818c81, 0x54752f6d, 0x92ee1ffc,
+    0x1107fd85, 0x956a6178, 0xc75f705b, 0x4dc569b2, 0x46a2853e, 0xeeadbd74, 0x6c7cd9ea, 0x0d351cb4,
+    0xa9362900, 0x01ceaffa, 0xaf32e5b0, 0x71adc095, 0x9c29a68f, 0xfa08f8f3, 0x27688cc4, 0x01662a8c,
+    0x4e5a5c13, 0x6a4602c0, 0x946b2044, 0x02cab29f, 0xf1c74ff4, 0x96cc9ca3, 0x0aab5cea, 0x726c0da5,
+    0xabf5b5b4, 0x09df9291, 0xeb713cda, 0x0ff4e5b8, 0x1385da80, 0x05a7a11b, 0x0cb34475, 0x92200deb,
+    0xedbac726, 0x6ba5aad3, 0x5aa0dd31, 0x3db5089d, 0x1ea97e3a, 0xe082f049, 0x41cb15b6, 0xffebbf76,
+    0xb8e84532, 0x575c6c57, 0xc4b6b28e, 0xc172d0d5, 0x3cde90c8, 0x81735411, 0xb04d6492, 0x2b546513,
+    0xa463384a, 0x0a1ae36a, 0x415f7798, 0xad571b8a, 0xfa50a59d, 0x57a2bb56, 0xa36bd25c, 0x5c30b4f6,
+    0x5228158d, 0x8d7c8442, 0x50f89250, 0x23940bff, 0xe397f497, 0x7689a6fd, 0x71586399, 0x1f068791,
+    0xe2f15a27, 0x20281fe5, 0x54e3784b, 0x8ed98183, 0x77f84b59, 0xef877b4b, 0x43d80c1b, 0xad677bcf,
+    0x01ee459c, 0xda56aa1a, 0x69faf56c, 0x7acad440, 0x8d0eefdd, 0x58736ea9, 0xc42f20de, 0xc630591d,
+    0xd9820044, 0x35468f67, 0xfaa1fd49, 0xcfe9a3d7, 0x4ccbc1ba, 0x744c028d, 0x593e1d4f, 0xe5211f51,
+    0x8c082b7c, 0x74382a96, 0xf54b2fbe, 0x4bd55060, 0x154c625f, 0x483cb992, 0xfc156864, 0x297a2913,
+    0x0f83a7be, 0x2fe7e3ea, 0x77cc7a01, 0xea0252ae, 0x97fbbcb2, 0xfadcd43a, 0x77544d5d, 0xc19c9076,
+    0x5a6c6781, 0x82e213b7, 0x30bae271, 0xee9d3e39, 0xdae5ab76, 0x57553125, 0xc55064af, 0xd9694698,
+    0x9ff1c9ce, 0x40edb2cb, 0xa21b5237, 0x3d815130, 0xce67da34, 0xef2d97e1, 0x9d8bc816, 0x2c2b9d71,
+    0xab27e837, 0x5020036f, 0x52418982, 0x5c1c43c3, 0x59160a25, 0x58adfe63, 0x412e4551, 0xf368b0c7,
+    0x66c648fd, 0x3d94be18, 0x5ed2efbc, 0x46f4ed43, 0xec309659, 0x85b4eeee, 0x9067f785, 0xca7d8959,
+    0x697f824c, 0x81a88564, 0x20b38694, 0x9831ec56, 0xd2792654, 0x67af87ed, 0x09a93095, 0x58031b53,
+    0x90299e3b, 0x20a74821, 0x39ab075b, 0xe67c5e72, 0xda2a6d5a, 0x4177edae, 0x1e4f3cc5, 0x1e7492b8,
+    0x58950548, 0x99c47c68, 0x4f1ee5e5, 0x10aa7d01, 0xb06e828f, 0xe8f104da, 0xd05c9bc4, 0xe714157c,
+    0x42fece9c, 0x1d7b9d47, 0xa4b7e371, 0xbb0dce61, 0x62ed481c, 0xf89d1e84, 0x190ea03a, 0xe9c8c084,
+    0x4dce30fe, 0x2b6fb698, 0xc8c96ff7, 0xfa9a691c, 0x61ade8bb, 0x596f888d, 0x23614525, 0x0637a0ff,
+    0x88747f8a, 0x5ef54849, 0x40b18d92, 0x1aa21923, 0xce5937d1, 0x12bb7f9a, 0x60680026, 0x8fd51f91,
+    0xbd90ab04, 0x436a997c, 0x0bd305a1, 0x4886a081, 0x02009811, 0x7d986ee2, 0x35e0337c, 0xd7c55916,
+    0xd052ca83, 0xdb66832e, 0xb1028607, 0xb942e552, 0x9bf07caf, 0xdcea06d1, 0x4348aa57, 0x1187387d,
+    0xb12a36b9, 0xafdc8216, 0x1e33a234, 0xfa8780da, 0x9cd3e3aa, 0xef52ca8a, 0xef5587fb, 0x9da1b6eb,
+    0xce8ce1e1, 0xc301ec52, 0x91104a8d, 0xbd72a009, 0xdf274f70, 0x27d82fbe, 0xf22c852e, 0x0dc184ea,
+    0x98bd7f17, 0x8d22d5af, 0xa8969c76, 0xbf6c7b76, 0x89598265, 0x3d9d0c8b, 0x825d5a42, 0x88126db6,
+    0xc55c4bf0, 0xd5ac91a6, 0xcc4c831a, 0x0525c932, 0x951996ee, 0xa95337c6, 0xbb94ccd3, 0xa2425ab6,
+    0xaf8d9d80, 0x5ca32107, 0xb86b5232, 0xb13caa27, 0x35fd26b3, 0xb4c4e47e, 0x6aad37bc, 0xee711614,
+    0x441e6618, 0x6406c8b4, 0x4df74c65, 0xf4589701, 0xcbdc0db8, 0x01ca2302, 0x2b913ce4, 0xfbb7480d,
+    0xc5dfd9da, 0xc4430a81, 0x6e2c1c66, 0x58211ec2, 0x619d9343, 0x0e255e0f, 0x7ab2da6d, 0xef1bddb8,
+    0x6ec909f6, 0x215ca789, 0x72274e31, 0x81a718cf, 0x3fa2e63d, 0x4851885b, 0x2f928155, 0xdc1c967c,
+    0xe564bb95, 0x6b3f728d, 0x940e52f1, 0x28f4c2ca, 0xead34b8f, 0x01854a91, 0x967a68bf, 0xae0e0fc8,
+    0x317b513f, 0x587a587a, 0x6e89f60e, 0x3736ec8f, 0xc0ff2ca4, 0x7a860778, 0x44083001, 0xa466d2f8,
+    0x63e7102c, 0xde433c98, 0x0e8bbd5e, 0x0458916d, 0x8a3898b5, 0x1c874c8a, 0x420f8d20, 0xac4816d1,
+    0xc74299d8, 0xd9e4f6a3, 0x3778b2a4, 0xa420ccde, 0x6e04edb2, 0xca1b553e, 0x412f8d79, 0x23d37fec,
+    0xa6c9f9e7, 0xad59a03b, 0xda440e2f, 0x95a839a2, 0xc1fea63b, 0xecc71ad6, 0xe1e17309, 0x12879999,
+    0xe3f1b210, 0x8dff002b, 0x2ae3896c, 0x8d673fe2, 0x868f43ce, 0x9e666495, 0xe50272fd, 0x23596b9d,
+    0x2faf09ce, 0xcb348e6d, 0x78bc92e3, 0x3d60f5b8, 0x274ae406, 0x7d41e6a4, 0x4b5e37fa, 0x165ad304,
+    0x527238c9, 0x09e53975, 0x403b80e7, 0x3145617f, 0x3139b83f, 0xc58bbd03, 0xc4ee9afc, 0x2fce00a4,
+    0x5ec0a39a, 0xac18bfc9, 0xf3d26bfe, 0x062266eb, 0x08a7272f, 0x4b7239df, 0xbe7d8957, 0xe2b6e347,
+    0x26314c11, 0x91eccc7a, 0x697a3059, 0x927677d2, 0xd055d70c, 0x964fbe78, 0x3ff854ba, 0x09bc2be6,
+    0x6e364888, 0xb643e39d, 0x50c59359, 0x3b7a6a96, 0xcb864faa, 0x205949a9, 0x54e6ab85, 0x950bd899,
+    0x8f76611b, 0x02e2cddd, 0x2dd8177c, 0xae598511, 0xaa6a15fd, 0xe41345ac, 0x1c151745, 0xf78f0a94,
+    0x908caa22, 0x705d9f48, 0x4170f07d, 0x8016f3de, 0x4a2635d4, 0x3a963d94, 0xa7bbf6e0, 0x441f91ad,
+    0x783a1108, 0xe5ad3bf2, 0x696eddd3, 0xf883842c, 0x1d2e9ee0, 0xaadfc352, 0x9990e982, 0x94f3340c,
+    0xd1f39c3a, 0xfe395893, 0x58a33e0b, 0xed0b630a, 0x5f323cdb, 0x212ab957, 0xb7daf4c6, 0x34409d6e,
+    0xc5a74cce, 0xc413b212, 0x9bd35a2a, 0x5e55e203, 0x4726361c, 0xd5283fb7, 0x94284e69, 0x94a848ce,
+    0xc986c5d7, 0xcb3f53a1, 0x2ca64b98, 0x561cf34e, 0xbd67bb07, 0x4039c2a1, 0x91cbefa9, 0xa4e67433,
+    0x5850a0b9, 0x99105dee, 0x28a2a2c6, 0xcf86e7e5, 0xd3d8ccef, 0x6a334700, 0xcd2e815f, 0xea488f2e,
+    0xb3b01df4, 0x925518ae, 0xba468668, 0x2a4ab158, 0xed94ad7e, 0x89230437, 0x869b09e4, 0x945f5f88,
+    0xde99ad6b, 0x791899f9, 0xa77507f3, 0x0b1166bf, 0x1774ca0a, 0x91e3665c, 0x0baff397, 0x22a6102f,
+    0x0ff21868, 0x4673fc50, 0x1f12efd9, 0xaa61631a, 0x22b5e975, 0x35518857, 0x42110cbb, 0x7c21cfe4,
+    0xc86d7953, 0xd42cbbe3, 0x9947e965, 0x8b46dbb6, 0x3ca4c6e4, 0xdb4e8b58, 0x884c134c, 0xc51c9998,
+    0xa6ddb596, 0xb2b31df3, 0xbeac0e46, 0xed9cefb7, 0x98fe6ec5, 0x97886f88, 0xcab8b837, 0xfaa0d402,
+    0x362b59c7, 0x54060060, 0x43b29bca, 0x9a39a9f4, 0x8a172a26, 0x5b12e142, 0x98142764, 0x789e2a3a,
+    0xb8706207, 0x37c8c59a, 0xd232eaf2, 0x3884d3c6, 0x4b70843c, 0x2144e8b8, 0xdfb325fa, 0x963b084d,
+    0x10b04679, 0x2c0dd2aa, 0xe59de0f4, 0x81688e89, 0xa4becf88, 0xf13683dc, 0x0cf5155d, 0x7a9faa11,
+    0xbdcfb40c, 0x6313136c, 0xf11a8e7a, 0x72b576b1, 0xb0da9395, 0x70e7543d, 0x459b35fb, 0xe0381130,
+    0x15fefca7, 0x4a043876, 0xfb63de4d, 0x208b2d07, 0x7bfbd2d5, 0xc3530aee, 0x98ab2e94, 0xd3d03509,
+    0x17d5d887, 0x37a5c242, 0x9e3c1a38, 0x14aaee73, 0xe5f5fa14, 0x5cb2ed4f, 0x1ee765d8, 0x630d8aef,
+    0x9b2348a2, 0xfbdd603d, 0x95853dc2, 0xc98fe568, 0xfb32e73d, 0xe3b8300b, 0xd9938162, 0x02794843,
+    0x64e1e13a, 0x23e4e169, 0xefdc6612, 0xe349ed85, 0xfde31424, 0xebc81a50, 0xfd9c00b5, 0xc8c0b42a,
+    0x61c3eb10, 0xadbfeb4b, 0x254cf3cf, 0x0122b6c2, 0x28d09403, 0x0bcc54bd, 0x56412e0e, 0x27b78ba1,
+    0xff9081ce, 0xc3434bb3, 0xed4de823, 0x2085b216, 0xdea72301, 0x67ab5ea9, 0x2ee254e2, 0xa3ddd306,
+    0x6bed0a47, 0xdb61ceca, 0xb8040df7, 0x1b35ac1c, 0xbf748a35, 0x04e2e230, 0x943d0405, 0x6e62d020,
+    0xc3165896, 0x29d05fd6, 0xb8840552, 0x60c4d288, 0xc06d95f8, 0xdd44beb7, 0x5ef7917a, 0x991650f1,
+    0xeafe060a, 0x1a4a99f6, 0xebdbd202, 0x7a09cc63, 0xdf96085b, 0x07560432, 0x853319c5, 0xc470c227,
+    0xfdf840d4, 0xc56439b4, 0xe8243c0c, 0xb3530edf, 0x770408a5, 0xb21ec662, 0x4ff4315d, 0xe4b21ca3,
+    0x1bf17040, 0x1534e306, 0x5d10c161, 0xa18346cf, 0x85abc95e, 0x838e7573, 0xe8ee7a61, 0x783ae3b5,
+    0xd73ecd3b, 0x78da106a, 0x0e52934a, 0x477c3a94, 0x3d8d84d9, 0x49b89874, 0xd4738630, 0x7ec02deb,
+    0x6a88eb99, 0x915158b4, 0x4afc3e50, 0x16298649, 0xa90baf10, 0xb7cad354, 0xa7be5dd4, 0xef768f32,
+    0x9ff97e97, 0x4baf0624, 0x2a19bf25, 0x03ffd1dd, 0x0025761b, 0x8b47d428, 0xc3a4266a, 0x4ee205ea,
+    0x33f75585, 0x05622c96, 0xe4106fde, 0x3f32ca99, 0x991fc484, 0xe21db7bc, 0x133375b7, 0x4e1f6ff4,
+    0xd494850e, 0x47a082d2, 0x4295a525, 0x17b5b896, 0x0dfe2c4e, 0x41eb1eed, 0x892e3a13, 0xe35a25f0,
+    0x8fa42e8e, 0xbb822b42, 0xe9fa4d22, 0xaa5f8f30, 0x1c3446a7, 0x8fd8bb42, 0xf8c41cdf, 0xd127f9ac,
+    0x98bfefac, 0x6f8e09ad, 0x7b828009, 0x53c8dc6b, 0x499d6f24, 0xb1569a6e, 0x0cfd4404, 0xd2d98edd,
+    0x4a674620, 0x4a4b2e0e, 0x5389861b, 0x65176d09, 0xcbfdf79d, 0x1f5dbea7, 0xdca72eb8, 0xa693ba0e,
+    0x0e909f04, 0xc7929d93, 0x6667d882, 0x62c36a87, 0x7dd2643a, 0xc1502ccf, 0x60fffcc6, 0xd4d75414,
+    0x4aff3836, 0x82f68201, 0x0a2382a7, 0x925ffa32, 0xcdb3f69b, 0xae22ce3c, 0xdfc84af3, 0x009f6b08,
+    0xf6fc1f40, 0xc43c0ddf, 0xee6e0e7b, 0x3c7b16ec, 0x793c5888, 0x25d0c227, 0x0553efbe, 0x0d15e84f,
+    0xbf9961f3, 0x8e091044, 0xe49d557c, 0x060d7a8c, 0xbaf1e7c1, 0xd9f517f2, 0x7b4e2aa1, 0x07c89e6a,
+    0xb54756d9, 0xdc20710e, 0x54ec2697, 0x8c35977b, 0x21087424, 0x1ab19aab, 0x97bcab1e, 0xfbadb4ab,
+    0x81b8bd27, 0x5a573a60, 0xa706c561, 0xa9a9f3c6, 0x0e1438e6, 0xbc2d466b, 0x6a590bef, 0x10f0ec5f,
+    0x9011f806, 0x2350a1d5, 0xc80f92c0, 0xfc4e16c0, 0x56d79fb4, 0xf65913aa, 0xb2a027fe, 0x72567b41,
+    0x40d7f1ae, 0x423bcc85, 0xd5595b3b, 0x62d6b121, 0x87f6547a, 0x3af0ad96, 0x7019c4eb, 0xe343c187,
+    0x00000000,
+    0x1ed0cb90, 0xfffcad96, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000281474976710656 */
+  { 0x00000000,
+    0x569e1bba, 0xe315b818, 0x141818ba, 0x22f9f6b2, 0xe4cf412c, 0xe599e6d0, 0x0acdaab2, 0x3ba29332,
+    0x51e21e1a, 0x945d0160, 0x51de3138, 0x37c72f4b, 0x77a09f13, 0x0afa8f87, 0x8ba60847, 0x6d6b8a55,
+    0x13748894, 0xfdbfafec, 0x34191672, 0xca351bda, 0xc41e688d, 0xcca01110, 0xafa41e87, 0x4df2d477,
+    0x056453ec, 0x719627b9, 0xc19b891f, 0x53db622d, 0x4ea6a249, 0xed0c032a, 0xc49e5c3a, 0x10eb69d1,
+    0xc3593510, 0x1e3705e2, 0x16825a01, 0x28b4f217, 0xff5fe259, 0x4da10b84, 0xcef5fd4d, 0xea4db2cf,
+    0xd8e57985, 0x97af4813, 0xdd47e4c1, 0x7f141534, 0x95b67ef4, 0x3be676a1, 0xdbc066b3, 0xb2a1ad30,
+    0x18b52c9c, 0x1eb03ea8, 0x158e4481, 0x71e67d3a, 0x15017fab, 0x0a369d8d, 0xc2af989c, 0xfaac5985,
+    0x920efea4, 0x1c08689e, 0x51f93c45, 0x190e19fe, 0xb7f68430, 0xd65efe17, 0xe5be90b0, 0x01dbbed5,
+    0x7743d116, 0x0a572e51, 0x184d1ee3, 0xceea762a, 0x5fd1bf75, 0xb3fc51d7, 0xa5287320, 0x127c156d,
+    0xaec4cb67, 0x4c82f85d, 0xfb9e7694, 0x744561c1, 0xe11b293c, 0x2caed517, 0xe804de58, 0x777557cb,
+    0xf8aec6ee, 0x0850093e, 0x30fdc9dc, 0x1256ea9f, 0x419cb365, 0x81fcdcdc, 0x19c28f57, 0x8a97c98d,
+    0xd4f49408, 0x6dc7d0fa, 0xf9ee8732, 0xa84943d1, 0x6d19aa5a, 0xd9f29276, 0x9f00bbc2, 0x33466020,
+    0xb8ab36cf, 0x5b34e593, 0x7a4ed9b7, 0x8eaf5194, 0x2e24a3aa, 0x3b0aeac7, 0x135cbd87, 0x9e1a850c,
+    0x82b08027, 0x9350ba62, 0x8d3cc729, 0x81a2cbe6, 0x78f1c725, 0x21c25106, 0xc8683649, 0x4cbafd3c,
+    0x52874b65, 0xcc08666c, 0xeadac78d, 0xb242f722, 0x8911ddee, 0x8f8cb381, 0x458ac8ab, 0x5d4f09be,
+    0xfc447efd, 0x232ea7f0, 0xd498f818, 0x19f0fdbe, 0xe01c1a32, 0x3878b1ab, 0x16cb1962, 0x6bf79a0b,
+    0x6faa6a37, 0xd5619d63, 0x3a196dc8, 0x50d6fe88, 0xb41f555b, 0x0eacbe44, 0xcd31d4be, 0x1ebeb68e,
+    0x745cc02c, 0x0bae9eca, 0x7b0d2c56, 0x95ec08ad, 0xba4f3a9f, 0x0f5c2e84, 0xa0dfd8ee, 0x4862bc39,
+    0xbe647e93, 0x2f33a324, 0x706ee719, 0x9e39f1b4, 0xd54d972e, 0x6369cd9e, 0x9ab0f037, 0xc5f8bfdc,
+    0x71578f68, 0x52a0fbb4, 0x6f4e7a63, 0xafe9e5b6, 0x8f802d55, 0x319a6827, 0xb777c9ef, 0x83c7dac0,
+    0xfefae157, 0xb2c5f404, 0x8bdf01b3, 0x36b18cd1, 0xea3f1147, 0xd86871df, 0x492885b7, 0x90acf9e1,
+    0x4f633c5d, 0xc63755db, 0x220bb75f, 0xcda0557b, 0x67fd4e72, 0xa8454b2b, 0x8384def9, 0xd6fee926,
+    0x7d85d0e8, 0x51938156, 0xea05c23d, 0xf5c42688, 0xcde34400, 0xc876e898, 0xb8074022, 0x16afd806,
+    0x79c3608b, 0x9b07d9b0, 0xa89ebfe5, 0x12631109, 0x7db7f6a3, 0xad1a6f58, 0x1e4fb865, 0xa6f699b3,
+    0x7c3a0c2a, 0xe364af54, 0xf80753f8, 0x629757d5, 0xd802d7c8, 0xb4bc495f, 0xc174a6da, 0x65d1c333,
+    0x5a9f0e25, 0xabf97cfa, 0x6fa9ea64, 0x79f9e537, 0x9a9ed5d2, 0x96fbac9b, 0xb0a2767f, 0x6fd6ad32,
+    0xf92f09dd, 0x50077fa0, 0x96f37b29, 0x9416ad55, 0x501f89d7, 0x10d643bb, 0x7a447122, 0x52c7b8a9,
+    0x92418043, 0xc1fde684, 0x61bfed11, 0x5a7f3ad4, 0x17c7408e, 0xc99472a3, 0xf63518e0, 0xad53def7,
+    0x6ecba192, 0x6ad05599, 0xdcb0fbeb, 0x33a7f49e, 0x2b3a0600, 0x20ff972e, 0x8f0b5711, 0xfb9c5e8a,
+    0xb7c0185b, 0x551c5062, 0x281e930e, 0xa887b912, 0xa102351f, 0xa30732ae, 0x52495377, 0xd005e084,
+    0x24f5559e, 0xbe9e3425, 0x72cc5a61, 0x2e9fea40, 0x89bf5eff, 0x5b21053d, 0xd3d94162, 0x2d81abe8,
+    0x322b7d46, 0x769735ed, 0xb50f631f, 0x53363a8c, 0x95b4fa4f, 0x2158eab7, 0xfcc43d17, 0x5718a4a7,
+    0x76a4a49a, 0x4cd6f038, 0x32f4a6e9, 0x0368ffef, 0xf5b9ede6, 0x8505f3b6, 0x9d1bf2f7, 0x574dff8d,
+    0x1e8675bb, 0xcecc77a9, 0xe60e4a42, 0xedb76277, 0x14555351, 0x8bb0850d, 0xc057ab47, 0x524d9613,
+    0x26a99b6e, 0xa7bbe07c, 0x333884f7, 0xd042434b, 0xc024927a, 0xd78ee382, 0x81724d86, 0xfa7446f2,
+    0x90df63ae, 0x2b126e8e, 0xed654be2, 0xc3134783, 0xa0dce997, 0xb8d1c246, 0x2e2dd2ae, 0x3c0585a5,
+    0xc4af7b4f, 0x17a9d3cf, 0x7b326eaf, 0xe270dbd3, 0x72d84251, 0xa9ea8cf3, 0x694d641a, 0xf9bb1a18,
+    0x7dd40c64, 0xa57c42da, 0x716952dc, 0xea4344ad, 0xe66f79b9, 0xde59223d, 0xc7da0743, 0xfa1f530d,
+    0xe8935a28, 0xbd4487a2, 0x4fa94f57, 0x9ae3773e, 0x2281807c, 0xa8785a83, 0xcc47dede, 0x4d1deae6,
+    0x3a451115, 0x258e3bae, 0x2b1ad023, 0x4aae2c79, 0x79658a7d, 0xaedbb9b9, 0xa7784219, 0x604ee707,
+    0xedfd043c, 0x5642c0ac, 0x816751cd, 0x2f32446f, 0x11a94b96, 0xfeb2e94d, 0x6dd36413, 0x1b6254bd,
+    0x39a0c009, 0xbe10ebf8, 0xd492433c, 0x9c3f2889, 0x0a7b6989, 0xbe291e47, 0x47aad19d, 0xbaa50da0,
+    0x4aaa95db, 0xbd8805fc, 0x55fd0268, 0x3a869789, 0x6217fe01, 0xaa19d4ec, 0x1b307a53, 0x54fc5585,
+    0x243e0fb5, 0x5f38454a, 0x56774d80, 0x53758013, 0x9dd67af7, 0x5e2f9829, 0x5691c856, 0xf589c6ac,
+    0xf1a33bce, 0xd0ddd8ff, 0x63f4621f, 0xe9b74325, 0x11a6e3e2, 0xd6faf1a0, 0xb935cb49, 0xc1cd8212,
+    0xf56bd599, 0x312eee75, 0xfaafa529, 0xdc25ea84, 0x72423a38, 0x0fa81099, 0x419b4550, 0xf20b0f8b,
+    0x5d18f2aa, 0x1f266733, 0x4eb480ae, 0xd04a22e0, 0x04b78ba1, 0xe5ab6b1d, 0xef8247cf, 0xaa539358,
+    0xe314b5c6, 0x223f5e1f, 0x33debde9, 0x48470e70, 0xee2aef16, 0xa6862aa9, 0x2040a61d, 0x2adab5ac,
+    0x16d00a6e, 0x61e08602, 0xc287544e, 0xe7dd70f7, 0xd8f58432, 0x3a003774, 0xbb279c5e, 0x27223a3a,
+    0xb7fdb2dd, 0x43741a41, 0x42e14c1e, 0x7c066878, 0x87638e05, 0x3ec00223, 0xfdedb518, 0x2183f4a4,
+    0x25375513, 0xd99a4292, 0x0faad6c7, 0xd5ef0cf7, 0xc88c5e77, 0x79e49023, 0x0ab3e8d1, 0x11be15e9,
+    0x84487665, 0x429400ad, 0x067a190e, 0x70755257, 0x3129cefc, 0x0e760cd8, 0xac32145a, 0x71f01ee1,
+    0x7fc2c25b, 0xded3d65f, 0xc305b092, 0x9b1d8d7a, 0x347b257d, 0x129b91ae, 0x97366782, 0x44eba8d9,
+    0xb8667eba, 0x7c4f423f, 0x6cc1fb77, 0x165c49e5, 0xc57a0f34, 0x89c9fdb1, 0x0fe384c0, 0xd3b27b7b,
+    0x74007903, 0x97683ac2, 0x3b6dee65, 0xad9ad1d6, 0x2f5d84f3, 0xf70c5a8a, 0x9a735d7a, 0x5d6983cb,
+    0xb1e9622e, 0x6a1eb5ba, 0xafc5fd81, 0x0fbee581, 0xbad7c953, 0x7c908d47, 0x78575c64, 0xd1c19ec3,
+    0xa3d94b90, 0x8b9d1ddc, 0x30569093, 0x5b33ca32, 0x152cbbe5, 0x6845a5d5, 0xe1500ca4, 0xb9c728a4,
+    0xc4da17a1, 0x0e52983f, 0x4e3b2ba4, 0x90b251ee, 0xc905ce42, 0x7d057905, 0xaa767330, 0x8c6b3c26,
+    0xa43adbff, 0x24aab18a, 0x5998da90, 0x4cca8bb1, 0x043650f7, 0xf863306a, 0x10633ad8, 0x512eafe5,
+    0xb52aa6fd, 0x0d31e74a, 0x2371f3d6, 0x099ee2e2, 0xe859b64e, 0x52678542, 0x1651993a, 0xcadb69ab,
+    0x011f1c0d, 0x36300d27, 0x55379bed, 0x22ee3ccc, 0x557c22a9, 0x5f63ef8c, 0x4b5e9020, 0x927f9261,
+    0x06b038da, 0x1af1ae7a, 0x3cc010d5, 0xbf576398, 0x96d3c2d8, 0x677151bf, 0xc4b57fb2, 0xf0638971,
+    0xd6feaba5, 0x5e9ed30c, 0x69cda61b, 0xb6854eb5, 0x119af9c3, 0x89959fbf, 0x5d20a4cc, 0x8dfcad74,
+    0x90fdbcc0, 0x8325956d, 0x22396e33, 0x6da96867, 0xdac7cf6f, 0xfe418228, 0x97c2e000, 0x24ca778b,
+    0xcd1065e8, 0x459e76c1, 0x9559fac1, 0xcf645fb6, 0xde8d3571, 0x454d45bb, 0xe42242f0, 0xbc605644,
+    0x6abd7530, 0x49650f04, 0x036bd0fa, 0x8f5a3327, 0x2079cb81, 0x01e54de8, 0x26ba252d, 0x5de2e269,
+    0x4459e9f8, 0x55615bf2, 0x1c0e0e90, 0x3056d741, 0xccdb4d4f, 0x6c94048c, 0xa52d8c55, 0x5b3a9872,
+    0xe8765cb7, 0xee10cdac, 0xa2162c39, 0xe05f7d90, 0x47c4db49, 0x46fad7d3, 0x978153ad, 0xa92fc742,
+    0x3966809f, 0xea1d9a34, 0x67ca4039, 0x59e4c0f5, 0x89428a3d, 0xc2acc18c, 0xc508fd10, 0xbbb42d74,
+    0xbb07f067, 0xba32b653, 0x0d3cad1a, 0x164cda98, 0x5f383b9e, 0xb21b83e7, 0xe0653896, 0xe2e2bdfc,
+    0x2fdfab31, 0xcb670138, 0xdee7734f, 0x56ee5190, 0x10ebef68, 0xfef6dd0e, 0x37059710, 0x5137269b,
+    0xa6e09735, 0xf762d964, 0xdcbeaf11, 0xa4e12d4c, 0xf058cd7a, 0x0d6f6901, 0x5c7a8c74, 0x3ca83414,
+    0xe4bd2c32, 0x927a6c55, 0xb0e0dc84, 0x89f80faf, 0xe7a9f674, 0x51996845, 0xc8a5d252, 0x36e84392,
+    0x39a62067, 0xe830fd72, 0xcfab3871, 0x5f4acb64, 0x7b5a4ce0, 0x17733ab4, 0x9a683527, 0xe629327d,
+    0xbc982a5c, 0x15492d5a, 0xf608cc9f, 0xaaa6039c, 0xa912a562, 0xc20dd808, 0xbe3a08a8, 0x70de017a,
+    0x456dee36, 0x59819b13, 0x725c8b05, 0x76f288d0, 0xcb8cf17b, 0x8b521a16, 0xc79cf414, 0x56a75003,
+    0xc3be6b55, 0xa0116354, 0x591c22d0, 0x0f4ed039, 0x5de87d98, 0x430ab406, 0x56dd3bb6, 0xf9504c65,
+    0xb371a2fd, 0x92db8574, 0x5b0201ad, 0xaf47a809, 0x44bd09a2, 0x445e6f7d, 0x5f3c52fb, 0xbd167134,
+    0xc481815c, 0x9f2d9ed4, 0x4bad3618, 0x20932e6f, 0xdc0c3e28, 0x7419e652, 0x6b2e767b, 0x494f4706,
+    0xe953f109, 0xaa25d56d, 0x06bba7c9, 0xd2aebfa0, 0x13a19a11, 0xac9ae730, 0x0793cb14, 0xc1da3291,
+    0x12dd5d4e, 0xcb782ede, 0x9692a032, 0x2ac6c408, 0x9038b384, 0xbd30db0c, 0x7798a237, 0x0f167fd1,
+    0x35cb5070, 0xcda38189, 0x9ae71140, 0xaf61b0bf, 0xd3393eb1, 0xb7bb9b30, 0x236210fe, 0x595a6431,
+    0x876cbda6, 0x8261e757, 0x0fedba65, 0xa2dfe890, 0x798eed94, 0xcc9f33fe, 0xaa5f6b93, 0x97ac5d0b,
+    0x91de2467, 0x9a9e3bd2, 0xf486922c, 0x4c3db37f, 0x2aaab5ee, 0x97e456c3, 0x0c6c8cfc, 0x48c14388,
+    0xa71f64bb, 0x48245c3d, 0xd106ce93, 0x88c2056b, 0x3d71631b, 0x007d24bd, 0x4447e2a3, 0x40aa7dbb,
+    0xa2711b6c, 0xcc13d089, 0x01b48a73, 0xd846cc40, 0x14b9fc49, 0x1a09398b, 0x2b5a2381, 0x941f1616,
+    0x9af4bfcc, 0x44715b33, 0x80252fa8, 0x784b8596, 0x30a5d9c8, 0xc90a0668, 0xd82040b5, 0xfbe8e300,
+    0x08c820a9, 0x4ded559b, 0x1375f7ed, 0x104cbd4e, 0xc6ccb613, 0xd5d733c4, 0x6c937a10, 0x56b8e061,
+    0x0637e446, 0xe052fac2, 0xe9b0fa96, 0xfe63a3a3, 0xb697d61d, 0x01f8ffe7, 0x49a6b699, 0x6cc6dc08,
+    0x57787cfb, 0xcf012ac8, 0x81d721ce, 0x9a1e7d23, 0x2d4b1e72, 0x0b5bfacf, 0xa9dd6bc7, 0xc7064dd3,
+    0x521bc278, 0xdfe3d065, 0x782a24cf, 0xdcae4fc2, 0x5ad96c29, 0x328c0aa3, 0xda2c4782, 0x7cf55fc4,
+    0x5d60b488, 0x5e177820, 0x64d2a113, 0x53b74805, 0xc1efc670, 0x9a943577, 0x9bad65b2, 0x0b98d983,
+    0x7494935f, 0x292b7087, 0x62c97253, 0x69481939, 0xd72b7167, 0xac6f8f85, 0x21739c8e, 0xa5a6c632,
+    0x7f871b62, 0xae83da7f, 0xe5c2bd4a, 0x611f00bb, 0x74afb849, 0x8c336872, 0x2d2ebad5, 0x2fce873a,
+    0x513bcf50, 0x64e7175e, 0xa6f2d6ab, 0x1b6b5d02, 0x58a8058b, 0xb513021c, 0x2039d73c, 0xf2ab56b2,
+    0xe6215503, 0xd284d07d, 0xef2dad28, 0x25f954fe, 0x4dcdb94d, 0xb8415c79, 0x839fbe02, 0xbf7da37b,
+    0x91bb84d4, 0xa08bd1be, 0x3e74dba9, 0x03458a01, 0xa76993e9, 0x016a2691, 0x48f881d7, 0x04ca3cdd,
+    0xca5dfee3, 0xf480dd02, 0x6c1cf5e5, 0x81e3b69f, 0xebe296d9, 0xc8343918, 0x3eae6495, 0x68f6536e,
+    0x87bc64f1, 0xf973f171, 0xb3437bd6, 0xa10754f3, 0x173f45cb, 0x98135fd2, 0xf802bc1f, 0x51370d51,
+    0x8666e97f, 0x8bba9734, 0x7929a777, 0x901d58d8, 0x66a5a592, 0x7bd65140, 0xe63cb623, 0xb3215fb6,
+    0x41614b92, 0x11dfeded, 0xbc3d9b03, 0xdbe22fc7, 0xe7799bf7, 0x354b91a8, 0xa1b35e40, 0x86077b42,
+    0x058aa02c, 0x7e78f3fb, 0x88793ca3, 0xff2dd7b5, 0x0de84257, 0xd2ae8a08, 0xa3c5d713, 0xe6355763,
+    0x77530910, 0x17a66dc5, 0x90cedb2d, 0xab766846, 0xc7583242, 0xa49e4f3c, 0xd339c2db, 0x5772e478,
+    0xc31d4629, 0xe2389a16, 0xc9549888, 0xfc8ee00c, 0x21a909a1, 0xa2effea3, 0x0a644988, 0x30942db3,
+    0x0dc2eda9, 0x71df5a1d, 0x9fc8a04e, 0x83012707, 0x20c6f8f2, 0x73527e83, 0x3a0e8afd, 0x9d2a6162,
+    0x98826a1d, 0x723d48ca, 0x0117e3f1, 0xd82ae554, 0xadb867bc, 0xd1526a41, 0xf078a5a1, 0xb08b90aa,
+    0xd4f61f8e, 0xc83692e9, 0x750084af, 0x05d2c1a2, 0x42dd1e53, 0x2581aa7a, 0x4400cfe2, 0x415a7dfd,
+    0x07d4d2ed, 0xa9eac407, 0x16380fad, 0xdf37ee5f, 0x7a979378, 0xcf7a6a39, 0x70304393, 0xe9d002a7,
+    0xd13b8bfc, 0xb8467a0a, 0x8f711845, 0x4ad4a975, 0xab862776, 0x61bc5fb9, 0xf5c5f029, 0x3c8e397f,
+    0x52b17975, 0xc01bda58, 0x8cd3de3c, 0xae57e277, 0xa340dd07, 0xdf8d94ba, 0x2e982819, 0x39cfca91,
+    0x0311262c, 0xa5308587, 0x1adcf160, 0x692a3fe0, 0x4c74efc4, 0xeb4adfe7, 0x2f83a321, 0x793c492d,
+    0x84db1a89, 0xcd5a95c8, 0x43c44884, 0x4f1f3cf4, 0x7ce0d599, 0xcdf8b7e1, 0x7d3f984b, 0x394201b3,
+    0x92744501, 0x01483b61, 0xaa0d84e5, 0xc82a694c, 0x8314ff7a, 0x838a2a60, 0x71d0407a, 0xf3bf14f6,
+    0xf00ee23a, 0xf5b631f5, 0x55297915, 0x8031e118, 0xdbadaa0d, 0x8029a394, 0xe0fba3e2, 0x5ff74c56,
+    0xa3ed8167, 0x71326c59, 0x2e35085a, 0xdb06c2af, 0xbbf0e290, 0xe510d350, 0x261d11dd, 0x25b35c20,
+    0xfbed69fd, 0x806d4d64, 0x9e0bf3e3, 0x19ffecd1, 0xb1385d6b, 0x0809d1ef, 0x8b0e9632, 0x80fd9b72,
+    0x10a4d7cd, 0x3c1a87a7, 0x3dec4371, 0x140f38ee, 0x8bbd0d2a, 0x32083b80, 0xf0add5b6, 0x94e938b7,
+    0x6497231e, 0x3a749649, 0xe4cd971f, 0x7070759b, 0x9ece0cda, 0x36396477, 0x4fdb7eab, 0xcc845717,
+    0xa56a73bd, 0xe352efcd, 0x9ca75783, 0x2132bfc0, 0xe39c959e, 0x41f8e2df, 0xf63c8e79, 0x59a40c57,
+    0x5a466790, 0xf982b048, 0x8719a39c, 0x670f1e20, 0xe4eaded4, 0xbdf8ce29, 0xb449a822, 0xe55b7c5b,
+    0x476a093e, 0x35f4d421, 0xffd99137, 0xfa415479, 0x1d2de86f, 0x6514046c, 0x739455ae, 0x35ff7c08,
+    0x4cbdf957, 0xf3c04b58, 0x06d378f9, 0x4be57b2b, 0x4ecb62f5, 0x7b049c56, 0xac989aa8, 0x03167829,
+    0xf10dadce, 0xd2cfb4c6, 0xb41b16f4, 0xf90d9031, 0x75b305ee, 0x6bb92b5a, 0xe99c8b07, 0xd9d26ac4,
+    0xb3405b53, 0x9daf4c35, 0xba386ecb, 0x42843b78, 0x6f1420cd, 0x14a21c0a, 0x4f30a3c8, 0xa7699630,
+    0xf17ac80f, 0x7118ef4e, 0x346b4a44, 0x499007ae, 0x45e78143, 0x1d2c0604, 0xfee0db3f, 0x960fabd0,
+    0x5d9d612d, 0x904ac23d, 0x2d8ba476, 0xafa803e5, 0x9f644d95, 0x50ba1c9b, 0xc90c52c5, 0xf1346dd4,
+    0x00000000,
+    0x0f6865c7, 0xfffe56cb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000140737488355328 */
+  { 0x00000000,
+    0xfad80812, 0x362982bc, 0x7500f4bb, 0xb7c9c30c, 0x2a5a0f3a, 0x1684911c, 0xcb2ab8d3, 0x00f77c40,
+    0x0bfec6b2, 0x5ed18dda, 0xf850289c, 0x533200fa, 0x26777ee0, 0x21849717, 0x67063eb8, 0xcb375dd7,
+    0xc75c80b3, 0xc45f3a11, 0x88e18398, 0x6ae1eecd, 0x1752472b, 0x43795f71, 0x8777c9f9, 0x98f4867f,
+    0x02076601, 0xd82e562e, 0xeba98826, 0x7344a7a4, 0x3f2760c1, 0x05124324, 0xa2d8fd00, 0xdd2e4c41,
+    0xaf7b8e6d, 0x342f7973, 0xfa435ac9, 0x85688fb8, 0x8c4a6f00, 0x6d92eabb, 0xa1373013, 0x879563f8,
+    0x3c87f179, 0xd1dd336c, 0x6edcd918, 0xaef47037, 0xeba55d22, 0x1eafd820, 0x907597d7, 0x068add3a,
+    0xd21e3774, 0x5a9d2635, 0x994ca26b, 0x7b8be052, 0xce764801, 0x24a3d1f5, 0xe60631f5, 0xb1b03787,
+    0xf053d6c3, 0x038450f5, 0xfd2a7f0c, 0x45fd0ac2, 0x5bd8ce77, 0xd76b08bf, 0xe1289786, 0x185ebce9,
+    0x1d82105b, 0xcc4403ef, 0xd48fbb6c, 0xf5d4153a, 0xd7c31332, 0xfb8c0b0b, 0x6b7e6c88, 0x0a4f344b,
+    0xe3a0021f, 0x92c0ff13, 0x8de79092, 0x00c819de, 0x29d02736, 0xec09e313, 0xc2cdf498, 0xc60ddfe3,
+    0x301be71e, 0x9108037d, 0x1af6750a, 0x8079b8b9, 0x1f433c32, 0x5c09a28e, 0xa548b67d, 0xd33b3d7a,
+    0xcc1556f7, 0x4f334dec, 0x9bce6712, 0x77e8af52, 0xda93e99e, 0xdc78779f, 0x13f3c6de, 0xc23b8b37,
+    0xe1d64083, 0xbcd584b0, 0x90687567, 0xb3a8e6be, 0xa267a7e7, 0x9515b2a2, 0xc3597fbb, 0x1733f181,
+    0x2572bec7, 0x3c27f914, 0xcb05a7e0, 0x8aac6c2c, 0x70fa5e5e, 0xf6f1f8dc, 0x0a295df1, 0xaa99ee98,
+    0x4821065d, 0x96212ed2, 0x924738c3, 0xe49ba3ff, 0x99e59f5c, 0x76f677dd, 0x94906282, 0xe6c4a65e,
+    0x85a40c53, 0xff5fea38, 0x1fa4d6ac, 0x5ea64bb9, 0x72fa09c1, 0x131818ee, 0x5606e4d6, 0xb4af537e,
+    0x4258ae67, 0x5b4ee81e, 0x1174f6f2, 0x181ff742, 0xea2bc751, 0x49bf8864, 0x41530286, 0x22cff011,
+    0x54dc35cf, 0x7fdf3a3c, 0x0532db32, 0x3fea5b95, 0xf316e6d8, 0x3d0b69c3, 0x65c22c16, 0xc10320db,
+    0xf1e92a5f, 0x1367b64b, 0xadff5d92, 0x3b891e3f, 0xeeddba97, 0x8a08d73a, 0x6e1e10a9, 0xa507a537,
+    0xc7160e09, 0x7c5269c4, 0x054a405b, 0xc22567d4, 0x98dfaa1b, 0xf4414416, 0x064d25a6, 0x1530031c,
+    0x1246872f, 0xc4e02701, 0xe14a3cf7, 0x2bff5668, 0xc74b1152, 0xbdb9e5d8, 0x0dd07386, 0xb35383d9,
+    0x067b3318, 0x9e417256, 0xe1eb01fb, 0x9c6bdcbe, 0xfd5e275a, 0xcb19a012, 0x32ea1e62, 0x916c7993,
+    0xeb09bf88, 0x9057bfcd, 0xfe016191, 0x218c46cc, 0xd36f2a8d, 0x7ea65163, 0x92f7aa54, 0x3e4bea26,
+    0x8074e7fa, 0x2737c931, 0x6139a07f, 0x7b8f8230, 0xc451fb8a, 0xe32b4f40, 0x214c5e9d, 0xd09d152a,
+    0xfcd8d092, 0x9dc3b367, 0x71a61ef9, 0x33e16415, 0x53d92f72, 0xfafb28c3, 0xfb90ba0a, 0xc2d6dd0b,
+    0x92ff500d, 0x3b5dd32b, 0x759dc71f, 0xdf9a6731, 0x2529be1f, 0x594fdb4c, 0xd54c365d, 0xa38f0331,
+    0x7175ae14, 0x5eab33e2, 0x0563e513, 0x0946787c, 0xeb5e5afb, 0x21a03384, 0x067f2069, 0x64476bd6,
+    0xd44cc957, 0xcb22e788, 0x502dcac7, 0x1c0b9fb9, 0x718534ec, 0xf9e0f3df, 0x0fbbf65e, 0xd58e16db,
+    0x75d4ac1a, 0x4ba5df30, 0x21c3a8ae, 0x509e1493, 0xd8274234, 0x0c0ee2fa, 0x59e9ca3f, 0x8f0baa45,
+    0x9088d81d, 0x86a22a8e, 0x3e44ae7e, 0x9b704b41, 0x61bb75a1, 0x044e5745, 0xbe876b59, 0x51f42b8c,
+    0x10eac431, 0x090da149, 0x30c95cc1, 0x2d44cb9d, 0xac2c21f5, 0xe32a8545, 0x293606ce, 0xa87ac3d4,
+    0x0944656a, 0x3a2b173b, 0x5a9da7c5, 0x94238f75, 0x2b23810b, 0x7eda6398, 0xe4fd31c3, 0x57503ff4,
+    0x85144981, 0x39bdab34, 0x153fc760, 0x49974e0c, 0x1d0c2cf5, 0xa602dd9b, 0xec6ee12b, 0xef8b0233,
+    0x431c7c49, 0xeb5171de, 0xdd86dfb3, 0x4eae1363, 0x02a3f600, 0x9952ad33, 0xf47b18ce, 0xac4c5628,
+    0x696f20d3, 0xd9618c36, 0xab6463ce, 0x2a3b52ae, 0xa3610b29, 0xb8dc284f, 0x600c9cf4, 0x2462f7df,
+    0xbe3569ac, 0x32bcb65f, 0x060f3cb8, 0x955881bd, 0x7adb1159, 0xc5c5c619, 0xb5a00b0e, 0xfef78682,
+    0xffd217fc, 0x6ceff712, 0xdb608420, 0x73f16b58, 0x1a7904b0, 0x74a1855d, 0x098573d0, 0x271b2f6a,
+    0x41586f77, 0xca8747c1, 0x426f8f04, 0xf6a0f559, 0xd5a9bc40, 0x8d086562, 0xde3c3b4e, 0x26ef0c10,
+    0x239f2fa6, 0x84674742, 0x0cb6d241, 0x80144add, 0xe4a424a5, 0xd576d937, 0x292c5259, 0x7599f070,
+    0x2200d112, 0x7ab939ad, 0x4138e23a, 0xb9c10d05, 0x1f28af39, 0x3906d946, 0x6b1891c3, 0xfd7d6aa2,
+    0xc6812c56, 0x69e948b1, 0x2cf97103, 0xb02351bf, 0x2a5dd2bb, 0x3ea12ff3, 0x678190db, 0xf0907b5d,
+    0x453f41a7, 0xd84fbcea, 0x8a928377, 0xcab0c5b2, 0xefa3d572, 0x2adb1b57, 0xeed3878d, 0x3c95831e,
+    0xb67dc5c4, 0x31945687, 0x13438abe, 0xfec1be3b, 0xa6d68101, 0x2eb8ff2e, 0x8488565a, 0xb6c1260e,
+    0x8079ff13, 0xe4b8eb82, 0x70c2a264, 0xd3108a7a, 0xc2819b2e, 0x646fd982, 0x260bd918, 0xfb671b85,
+    0x392590cd, 0x9f4d0e56, 0xedab81c7, 0x909df004, 0xcd6179f7, 0x953d9ec4, 0xc6d76969, 0xa801c29b,
+    0xd11cff9e, 0x734f220e, 0xfc50c2c1, 0xf8c7e79e, 0xe9d3eef9, 0xe115ba06, 0x1051e112, 0xae12c003,
+    0xe324ff68, 0x813517d7, 0x6bd599d5, 0xd02f218a, 0xcb649af8, 0xfacd48fb, 0x9706e7d1, 0x4f714b94,
+    0x5d7525c7, 0x27139714, 0xe4da135e, 0xa8112a5e, 0x54004415, 0xbe9fd64d, 0x09a8995e, 0xdd89f837,
+    0xf0cf1890, 0xb9d5f4b5, 0xe66fa8a1, 0xb2e3565f, 0xd6cc4672, 0x4c7b438b, 0x46c2c138, 0xb7b0501e,
+    0x487ae63b, 0x82901b51, 0x0ad277d0, 0xb17c270b, 0x99d96fcd, 0x4261ed2f, 0xf1e401db, 0xc9baef69,
+    0xd85f921d, 0x05906bc0, 0x5c999233, 0xdc2e5368, 0xd51d2975, 0x0b32fd46, 0xe7dbfb09, 0xaeec304d,
+    0xcc1f9d7f, 0xbe15f4b6, 0xf1da20ac, 0x3e9c980e, 0x770cc587, 0x6a435aab, 0x08991319, 0xc8668758,
+    0x34e7b4f2, 0x594a037d, 0x34a7e39d, 0x8d9974b3, 0x41767ac4, 0xd40149e3, 0xef1b92a5, 0x60306a8b,
+    0x1ebe6ddc, 0xbf3853b9, 0x02e080ce, 0x1c015003, 0x7865f67c, 0xb4616f26, 0x62ddb08d, 0xa3335b64,
+    0x920e712d, 0x9a4c741a, 0x94eddc08, 0xfb59a9c8, 0x8e96a429, 0x274a81e0, 0xb674754c, 0x07967007,
+    0xa6a5224e, 0x5ae5d396, 0x85116971, 0x346de784, 0xf5924d86, 0x490ba5dd, 0x2bf2195e, 0x37f29af6,
+    0xcf180859, 0x0849b42a, 0x41dba938, 0x6a642f7e, 0x28ab3ba3, 0xb03199cc, 0xcd8f7de2, 0xb9a88af7,
+    0x21ea415d, 0x379ad9cd, 0xc32ab929, 0x095e8077, 0xb0f60f04, 0x4c81df98, 0x51291bb1, 0x13ed1186,
+    0x9a84cf07, 0xe6913157, 0x49aef67d, 0x9fe676c3, 0x017b5bb9, 0x88b6a338, 0xc8f75031, 0x2d1a544b,
+    0x9840e5f2, 0x16b508b0, 0xca5da1c5, 0xffb80f77, 0xd80e68ec, 0x474df9d5, 0x692a1df2, 0xddac8091,
+    0x052ef9dc, 0x312a0ab3, 0xf0985110, 0x9d9f23b0, 0xa8ab6f50, 0x41cf229b, 0x8ccda042, 0xf6ad62a9,
+    0xe0c99299, 0xb4c0adfe, 0x1bf92ea8, 0x78749cba, 0xde12518d, 0xdf6f31d0, 0xae27cc43, 0x4a868b35,
+    0xd1803621, 0x933dbdbd, 0x9e66585e, 0xc5dc7bc0, 0xecf6a990, 0x922425b2, 0x75e7ec97, 0xeea53883,
+    0xd7161b89, 0x0aef5ff7, 0x9111e24b, 0x158ec1c8, 0x7065e07b, 0xe0429e96, 0x64e81a43, 0x45863282,
+    0xe51da1f4, 0xe97ff39a, 0x79d22387, 0x6e0d3062, 0xc4704359, 0x2547d595, 0x54351bbe, 0x6afdcb71,
+    0xfcb41396, 0x07f751ea, 0xf48d5258, 0xa58d144d, 0x8c9f5063, 0x43568cf5, 0x49a7cecf, 0xcc984c25,
+    0xf1916f46, 0x3fcb0dfe, 0xb41e8f63, 0x91bc396d, 0xb799c350, 0x183f33b5, 0x1ed78935, 0x264339c8,
+    0xbd2b0194, 0x5555748c, 0xe379f315, 0x5e201bf0, 0xe273f9e0, 0x905e82ba, 0x7d62483d, 0x91b8104a,
+    0x4d2f85b7, 0x78082617, 0xf63bb01a, 0xc7bc89a5, 0x3180eb97, 0x50a7cb2f, 0x3afb74c5, 0x10531bf1,
+    0x0a49c03e, 0x788d427e, 0xc10f0109, 0xe587f7e8, 0x437d946d, 0xf18e9f26, 0x6b94d8c4, 0xe3ddfa7f,
+    0x31f38639, 0x6dd302f5, 0xd2d028c0, 0x8aa071a3, 0x2ec6660e, 0x298d3b24, 0xfa33d7af, 0xd63a494e,
+    0xef04dc64, 0x3acbaeaf, 0xd88da5be, 0x9de868a1, 0xb0e5c9ca, 0x37509704, 0xfe830fb2, 0x1aea644b,
+    0x7d8d3aa8, 0xd706a9be, 0xc8d290d1, 0xb86a6632, 0xce316029, 0x723c3122, 0x4ff89e55, 0xd8ca0966,
+    0xd7d49249, 0x9b3b7a52, 0xd2bcc371, 0x42d87a5f, 0x3596e32e, 0xd2209794, 0xf1983a65, 0xd5d0d5f9,
+    0x924be361, 0x2af7bfc4, 0xc8cac9b8, 0xb6b8b76d, 0x997439c1, 0x70df2763, 0x580ea0a3, 0x41e80eb5,
+    0x3dec3688, 0xecd6c022, 0x2afa195e, 0x937a187b, 0x9615e9b2, 0x1df29e34, 0xd511d1d3, 0xd4bca371,
+    0x7573f1b5, 0xfe33bbc3, 0x45ac3af4, 0x0249041a, 0xade8b981, 0xbd3ebcce, 0xe9d0fdaa, 0x96409772,
+    0x739373e1, 0x3a722b76, 0x13543cea, 0xb83916d2, 0x02d4d5d8, 0x9c3b624a, 0x463ab407, 0xd22d1d8e,
+    0xc9e47d2d, 0x3938420c, 0xa999b11e, 0xc2078dae, 0x3d13b7d2, 0x68aad3d2, 0xc147953d, 0x84f81abc,
+    0x86a839c2, 0xd26e9f6c, 0x116232f0, 0xf8b6d139, 0xbd51e5d0, 0x3c8e8e24, 0x0ab38273, 0x8d4fc887,
+    0x7e86703f, 0x7d79ea53, 0xb1fb611f, 0xd93ffb08, 0xec83831f, 0x3be3b8d5, 0xe7385a31, 0x0c02d1f9,
+    0x47a50101, 0xdae11e07, 0xcb883ceb, 0x68606089, 0xc327b33f, 0x570a015b, 0x2b0cc544, 0x931d0579,
+    0x83c0447a, 0xdeaa2ddc, 0xd502823c, 0xeebbc384, 0x43a3c4cd, 0xeb209a46, 0x212b04fe, 0x14b3e085,
+    0x05d8b1cf, 0x894342cb, 0x910b9b13, 0xa34f7d92, 0x61cd2ca8, 0x9a6fc2d0, 0xa337ffea, 0x137bc31e,
+    0xe5e9f3e8, 0xfbdc2982, 0xe4453fa1, 0x18edc8a0, 0xf39945cf, 0x76fd4c6c, 0x620397c2, 0x48ce8550,
+    0xbb70c54a, 0x841ef86e, 0xa4c36598, 0xe72f1b5d, 0xe87c6181, 0x0bc51a38, 0xfefb295e, 0x4ebc396a,
+    0xb2d28891, 0xa6742d73, 0xeb3d437f, 0x1eb45620, 0x98b550f4, 0xfdb859a5, 0x7ed14420, 0x3b838f3d,
+    0x11db10d3, 0x4e139cdf, 0xadf3b757, 0x23752776, 0x8e86a738, 0xf1910fd8, 0xc2d19a4c, 0x17729893,
+    0xaca52d21, 0x2cc5b0e4, 0xf23cfb05, 0xc734e058, 0x5e5bd382, 0x9b9822da, 0x46e6e8f0, 0xca745941,
+    0x6cd4d65d, 0xc4be50c2, 0xa9a4f581, 0xa20ec1ec, 0x8b0b93d5, 0xd2cb9f6e, 0xf25b3438, 0x0059996e,
+    0x76da7e9a, 0x4bee5ff0, 0x2493f374, 0xf9864f87, 0xffecfc26, 0xb472ba4a, 0xda32317b, 0x395ea277,
+    0xf99280e1, 0xaff643cb, 0x494b05ed, 0x067f6319, 0x6a21acbc, 0x08ea9ee3, 0x328f539f, 0x07ea7c89,
+    0x6379a1c2, 0x5102c907, 0x9cb5d786, 0x1a67f9c3, 0xf7606938, 0x347782e4, 0xc30022ae, 0xfad62074,
+    0x1188a812, 0x5ea77857, 0x41e45bf0, 0x9c7e4097, 0x705fb550, 0xd8dec9fb, 0x9a43878b, 0x34aa5fcc,
+    0xdd0d19ab, 0xd74547d7, 0x0a061b37, 0x40599785, 0xf5b54fd4, 0x2947dbfe, 0x4b365867, 0x9cd27dcc,
+    0xb0684174, 0x8d7655d4, 0xecc09b7d, 0x5845283c, 0x18135fee, 0xb7da2ba5, 0x93942d9b, 0x67fc81bf,
+    0x24f305af, 0x4efbe487, 0x7013750f, 0x7df9c5e9, 0x6e93c28e, 0xc1ee9de0, 0x6c024e7a, 0x5fcc92b1,
+    0x5c856c32, 0xd27ba194, 0xb43245c4, 0x5b3d64fe, 0x833c9fa2, 0x98f9e308, 0x3404d45c, 0x4a6f9228,
+    0x80f398c2, 0xf25edda8, 0x1155b297, 0xd7341bfd, 0xcb8f50e2, 0x02b9043f, 0xca34c77e, 0x1d50cce9,
+    0x6819fe1f, 0xa378ed73, 0x5bd302e6, 0xa61cd9c0, 0x8c289b7e, 0x94e81c9d, 0xc2e87649, 0x57f76389,
+    0x026f9640, 0xe9b786de, 0x56f5d05b, 0xb7a34337, 0xe164a8fd, 0x0e5288f2, 0xcb954d97, 0x0143a578,
+    0xce3c27a6, 0x201708a8, 0x1a62f9d6, 0xd0e7bc8d, 0x5697b9e9, 0x548ccf37, 0xeb897917, 0xf28520b9,
+    0x5ece1fb7, 0xbec5a8e4, 0x7bd764ad, 0xd67fc51c, 0x8355c66a, 0x2c0eedcb, 0xf68abef3, 0xfc6801f2,
+    0x72177b78, 0x8bc3ba94, 0x3c55daea, 0x0e7f2547, 0x8a4c9f9d, 0x95638e9c, 0xdf2ee2ae, 0xaa99373b,
+    0x69379c8a, 0x0c124ae4, 0xefa881a3, 0x4c60001d, 0xf62049c9, 0x6dded812, 0x78d94e49, 0x6a4f3548,
+    0x0805689e, 0xdfd60658, 0x1e603f62, 0xfee6b948, 0xfc3a8293, 0xf3cb856c, 0xb7345343, 0xc4bc3300,
+    0x3f747269, 0x6b44191b, 0x8f9aae74, 0x65d7d0ba, 0x6aefc967, 0xee6c109a, 0x62df9c96, 0xa81eb8b5,
+    0xc33f3e87, 0xf1289607, 0x98e53782, 0x0fd206b6, 0x6601179f, 0xe23204c6, 0x35d1bed9, 0x22dc1c80,
+    0x09fabcc9, 0xfbc76bbd, 0x1feeb1b3, 0x20f49cd8, 0x76844879, 0x0c166765, 0x62bf5724, 0x319fc03a,
+    0xdf80f04a, 0xa264cf9d, 0x18592b01, 0xe2848275, 0xf7cfaf48, 0x5bb01aca, 0xb1749275, 0x0f93512e,
+    0xcc51bf21, 0xe95fde9e, 0x459866b1, 0xf312f0a4, 0x5e09d12b, 0x863c7a27, 0x0f8b4f04, 0x9e95b2b3,
+    0x536f635d, 0xb142c385, 0xcbd0b45f, 0xacfa1727, 0x382660fc, 0x86340b18, 0x29354c62, 0x08c0f080,
+    0xec2efc90, 0xbd61fb66, 0xcb5d1ad1, 0x0bf4ebfe, 0x21cfc756, 0x72d3cdcb, 0x10ff9378, 0x424124c0,
+    0x4016796e, 0x3e126414, 0x4402ee49, 0xe5dd75ef, 0x8b57d0fb, 0xf51aebb4, 0x520b45a4, 0xaa0a52cc,
+    0xaf7b7639, 0xdea09932, 0xdd7f8ebe, 0xc10d9fff, 0x05a54aed, 0x2de34b4d, 0xbbe49642, 0xc5e63c67,
+    0x733c180c, 0x02205617, 0xe29cd237, 0xc1d3917d, 0xe97dbb19, 0x25f4961a, 0x60a325bd, 0xa0ad95b1,
+    0x996d7b62, 0x327f7547, 0x9857009b, 0xb08c3721, 0x6ea6e7af, 0x89db4f3c, 0x3d846c32, 0xae8fb475,
+    0xf56324e9, 0xf0ad5ff8, 0x5925ea7f, 0xc5fc9be1, 0x4ce3a4eb, 0x1b55dba4, 0x454a8cf1, 0xc3f1df46,
+    0xa6bca4fd, 0x5336cab0, 0x9f92139e, 0xe9144d92, 0xfbcba657, 0xbc9c1fcd, 0x63385b11, 0x8e416503,
+    0x9f9de96e, 0x78a255db, 0x7264d5a1, 0xaa6c643b, 0xb09ec48e, 0xcfa3b088, 0x2b6e2317, 0xb06e8d9c,
+    0xece4d9d4, 0xdfb8992e, 0x1a973bb3, 0x301aa3ce, 0x135515e8, 0xd377d274, 0x61f1df9d, 0x58a70a4a,
+    0x2dfc723b, 0x8f779bfe, 0xb4c55d5c, 0x97a6bda1, 0xb8e79f7f, 0xcb105187, 0x6ea5e784, 0xafaa2e45,
+    0x744d908c, 0xf314a66f, 0xefd47069, 0x3534b3b2, 0xa8b01991, 0x05bc46fe, 0x93026ccd, 0x72cbed11,
+    0x8228530f, 0x6d4195ca, 0x7821d4cc, 0x0385b7a9, 0x8f0a589f, 0xd2af6d55, 0xb75bc98e, 0xe8482eca,
+    0x4168f8af, 0xf75bb485, 0x73757792, 0x9a64830f, 0x2c15998a, 0x459523b5, 0x3c8c8365, 0x6cdf468e,
+    0xd3a89954, 0x5da8db27, 0xf65cf5ac, 0x5e5a8ce4, 0x8121ff67, 0x9429ef90, 0xc39ed7b2, 0xafb5e9cc,
+    0x00000000,
+    0x87b432e3, 0xffff2b65, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000070368744177664 */
+  { 0x00000000,
+    0xab4cb24f, 0xbcf8bf82, 0x025db323, 0x514ae5af, 0x4d67ae3b, 0xf2fd1096, 0x1eea8906, 0x3d3eca70,
+    0x51f80381, 0x857c7074, 0xee052f2e, 0x064350f2, 0xf553ee5d, 0x067dcf99, 0xf03976f2, 0xe32b4ea2,
+    0xb9b7cd07, 0x5b9ee9ea, 0x3d248bb4, 0x6d1351c6, 0x141564f4, 0xa14ce3b5, 0x383414da, 0x5fe0d3b6,
+    0xff173664, 0xdb3585cb, 0x30124eae, 0xecf0bfb7, 0xe9f171e1, 0x6ad84157, 0x17c477dd, 0xb78d605b,
+    0x877fb9a2, 0x77dee7fd, 0x2c549849, 0xfdb26de0, 0xcbfa3dab, 0x09cfa5b9, 0x9f936643, 0xa16c287d,
+    0x654dfb9e, 0xc6cd11ca, 0x6191d026, 0x2894910a, 0x13938b0f, 0x73d8b45a, 0x45a2d16e, 0xb3ef8754,
+    0xdf7d7df5, 0xd532f653, 0x1b2e5ce2, 0xd745db57, 0x49ee2d79, 0x22972577, 0x8f68ffcc, 0x869392cc,
+    0x5a49d3d6, 0xcfe067e4, 0xe654ff24, 0x6dc6e57e, 0x9db78fab, 0x18e2e748, 0x6999bd6f, 0x15e112f4,
+    0x64fba2b4, 0xdc466734, 0x37e353fe, 0xb2a6f7cb, 0x081d2d8a, 0xc253e13a, 0x08a8b086, 0xa6527753,
+    0x3d33faf9, 0xe14512b3, 0x8909b769, 0x761c45b2, 0x1a56b4bc, 0x8e9fc040, 0x0aed1866, 0x5b9a5505,
+    0xb4eb2ed0, 0x4ce8b8f5, 0xefb69b83, 0x9d9d77be, 0x06a88588, 0xfbacb0e5, 0x455ea71a, 0x03e7ff42,
+    0xe5f6888d, 0x56e62532, 0x2199193b, 0x30a5c748, 0x841c31c7, 0x192a9efc, 0x0a4aab27, 0x99e33cff,
+    0xb3bbcd3e, 0xdde18371, 0x0297a5af, 0x82279bb9, 0x182d3fd7, 0xfa499c49, 0x90d4d81a, 0x5b46bb4d,
+    0xa0a217eb, 0x1ea310ca, 0xdf9e49fe, 0x953dcc42, 0x8d329d39, 0x0e183ccf, 0x47174136, 0xac697769,
+    0x897e3a20, 0x8bdf14a2, 0xce2f35fc, 0xf6306097, 0x4fa00f08, 0xe2ffcd75, 0x1a76318e, 0x6b58e4b5,
+    0x090a6886, 0x43759c11, 0x4622c89a, 0x02df9e7a, 0x9706d370, 0xe5ea50cb, 0xc8e758ff, 0xea0f0742,
+    0x9967367f, 0x3976d003, 0xf79c9155, 0x6186239a, 0xf4c522e6, 0x51c10f3c, 0x01952eab, 0xe07d7aca,
+    0x5833662f, 0x9df95510, 0xa761ee50, 0xff72da3e, 0x3fb96e6b, 0x653fe143, 0x4f3d5c56, 0x57bd86aa,
+    0x07dc8314, 0x4a53a7b1, 0x9444645f, 0xdbe01ef2, 0xd7b9454b, 0xc0e111cb, 0x7a5921c7, 0x082e64a4,
+    0xe7525b24, 0xe5a675c3, 0xe39e1991, 0xfb2c0514, 0xd6e6cceb, 0x35c08610, 0x73a49ae8, 0xd530987b,
+    0xb20883bc, 0xeebbe71d, 0x026fdf82, 0xa9d4b85b, 0xb9bcda24, 0xe42a45ef, 0xb41dee62, 0xf9b61423,
+    0xe3974ed8, 0xf8a0242d, 0x2b323413, 0x9cc8c858, 0xe93346bb, 0xb7ca5a68, 0x6364fb49, 0xcfe33b26,
+    0x9629a898, 0xe66d77a7, 0x2be0c4cb, 0x766936ec, 0x1e6474c0, 0xa66ec6b8, 0x6f0d2433, 0x2451a536,
+    0x88367651, 0xc64aecc6, 0x0c16d8ce, 0xc6e4b998, 0x496e1403, 0x6d12361e, 0xca3d95f1, 0x2486d481,
+    0x0acb95c8, 0xaf4a9577, 0x7ba282f8, 0x15d2603a, 0x99b7ab2c, 0x40634bdc, 0x61b621eb, 0x1b564ac1,
+    0xc33e0826, 0x4f6bb030, 0x3941d2bf, 0x6b6e3b5f, 0xcbd92a87, 0xeca4fb3d, 0xa2bc7fda, 0xa87147fe,
+    0xa353999c, 0x002cc720, 0x5111d9e9, 0xd6b2d7c3, 0xab794c31, 0x5814713c, 0x118aa5c4, 0x54ce6ca9,
+    0x5e0452b6, 0x49d4e928, 0xf792f5ca, 0x538688ba, 0x4da5dbc9, 0x1ce5c667, 0xc87e6e83, 0x89806d4c,
+    0x2a8c03e2, 0x77acb486, 0xa4374385, 0x63e14792, 0x39c96398, 0xfcbb6378, 0x2196f6c9, 0x2d1adb88,
+    0x2322837c, 0x29b4a4b5, 0x7bd46fda, 0x247533c3, 0x25571479, 0x8fd38831, 0x3fd2e7dc, 0x57338dca,
+    0x5bc314fa, 0x26858792, 0x64f93cf9, 0xafd23ddc, 0x7edc00eb, 0x405636bf, 0xdf73b719, 0xc2097d74,
+    0x4c1b7eb6, 0x3d89a774, 0x723b2e9c, 0x3f821b59, 0xfa9477fc, 0xa9861b98, 0x95495fd8, 0x1bd19fe0,
+    0xe38258f5, 0xbcc18995, 0xff94a6fd, 0xfb4a5db4, 0x17a51511, 0x0e0216f6, 0xdf81cb7d, 0x67aed0bf,
+    0xc8cbd01d, 0x2bc7ce69, 0xed2c718c, 0xf4488abf, 0x98c4a660, 0x2a79e83c, 0x411fff1f, 0x8cd847eb,
+    0x7dbcb353, 0xc64cb1d6, 0xaad7b8b9, 0x9f7e4c3d, 0x44dfaa60, 0xafaa5e24, 0x5d56f0e2, 0x6d60f8c5,
+    0xb886bfae, 0xfe2f8d17, 0x7bb957e1, 0x8b1f47ff, 0x6d007659, 0xdde9ba92, 0x0a91fee5, 0x5ea25948,
+    0x94d33b32, 0x654017dd, 0x7cf52480, 0x63e8403d, 0x841b3c9f, 0xd32ea30f, 0xfeec3e57, 0x2576c3c1,
+    0x3ddf1b57, 0xb7177976, 0x992c75f6, 0x46510ed3, 0xa86f8fb6, 0xd7d749d8, 0x6c5442e0, 0xca85f454,
+    0xd78feb07, 0x10f297c1, 0x1ffb3862, 0x94ebedd8, 0xc745ada9, 0xbd2739a1, 0xc520f10a, 0xb7ea15f4,
+    0x12338e17, 0xd7366f7c, 0xd0577487, 0x938e10c1, 0x502b3281, 0xfef96100, 0xe66f9f9e, 0xfbed08c6,
+    0xd3700a1a, 0x435e47fc, 0xd45b688e, 0x2bcf2b96, 0xa43c9181, 0x28b5d7f8, 0x1b09a2ed, 0x0f7e1e5d,
+    0xcfbeb002, 0x13ef850c, 0x9ffa8511, 0xc70432f4, 0xebcdcea2, 0xf9c74922, 0xbc748202, 0x60699917,
+    0x1dccba6e, 0x094e2b5f, 0xd0ff7a2e, 0x7aa938ad, 0xe1ca6697, 0xb9da8b6b, 0x04891202, 0x7d70fc40,
+    0x34fdce83, 0xf262be5f, 0x26bae643, 0x9249845d, 0xd2f5fc4f, 0x93f98e07, 0xeeb802ad, 0xf3f93d59,
+    0x7ac73ace, 0xb3fcd6f6, 0x896a19e9, 0x7b30a473, 0xb848915f, 0x2754e2df, 0xc5d44541, 0x1ad980e6,
+    0x328ef36c, 0x26eb1634, 0x9007abcd, 0x2aa6e082, 0x2faae11c, 0x615f760e, 0xddd90b6c, 0xa35ee2ff,
+    0xf8c6bba1, 0xf7e26ea3, 0x598d40b2, 0xd4baf560, 0x6037e376, 0x7a556b82, 0x22ed61e3, 0x3088717d,
+    0xa596a135, 0x8fa705b2, 0x6ee6dd0c, 0x0b14f1fa, 0xd4b30a32, 0x2cb9b0a8, 0x64719ca2, 0x6a1c7bfd,
+    0x00f38c94, 0xa597be19, 0x91ee1a68, 0xe329b7e4, 0x05e86e61, 0x98f11b35, 0x4876cc9d, 0x2b5776a1,
+    0x69bf0f77, 0x177a0c6d, 0x18853467, 0xa0a88dd3, 0xbe77c6d0, 0xd87884e1, 0xbbcca1c4, 0xb784990c,
+    0xef09afe8, 0xad7e8c74, 0xa8973b75, 0xd13fa9a9, 0x92cd33cf, 0x57e6f233, 0xaa85b011, 0x0e23387d,
+    0x30eefece, 0x4f775837, 0x8d815d46, 0xb50a0558, 0x828b07b2, 0x3cefa6e7, 0xf095beaf, 0x8680bd00,
+    0x179b1469, 0x05326f0e, 0xd8536266, 0x57ea1795, 0xc85edd43, 0x38a90673, 0x158f4f22, 0xe50dcd4c,
+    0xcd2e2725, 0xd51e820d, 0x2f1485d0, 0xf34d27cc, 0x95f475f4, 0xe6eca2de, 0xb5fa51aa, 0x7bfcc1bf,
+    0xed190b30, 0x9f0a2f43, 0x760f5ed1, 0x696f2c4e, 0xf0c22237, 0x94c61483, 0x3e198644, 0x1eb8d299,
+    0x7bd8fa62, 0xc79fea09, 0x8bb4362a, 0xa452916c, 0x5a2ad1b8, 0xa8b69c8a, 0xe732c536, 0xf8c093ed,
+    0xe3a16236, 0xc49a6caa, 0xcfd83082, 0x9960621c, 0x9def9eb3, 0xa9342aea, 0xd0677694, 0xa4e5ebf6,
+    0x12e5b0e0, 0x735f5c91, 0x416be124, 0x159d3042, 0x97daf426, 0xd534d394, 0xc65a066c, 0x1c538175,
+    0xfc13d035, 0x7de8188c, 0xc5f4aacc, 0x608610db, 0x673d8ef3, 0x8ae9cca8, 0xb4e13ead, 0x7f5883f1,
+    0x70230447, 0xcb954d98, 0x8f2b340d, 0xc4c29a30, 0x58af89a9, 0xe103052f, 0x41b0f4a5, 0x21089611,
+    0x7d7ef29d, 0x23f83fe4, 0xb06318ca, 0x32641bef, 0xd7821c9a, 0x77ff0aef, 0x6a82e64b, 0xdf1dd6bf,
+    0x18fe6683, 0xbe270acb, 0x70254d48, 0xf73d9939, 0x46440d27, 0xe7d36484, 0xcd6b8810, 0x413e05f8,
+    0x64368d1e, 0x87057009, 0x75a084e1, 0x7f3ee4c9, 0xb4b387e0, 0x7715dd49, 0x93d8b297, 0xae34a70a,
+    0x60cccb44, 0xa4144c00, 0x1ee532d9, 0x5c1ece0c, 0xc1c5dae8, 0x7778cb06, 0xc86c57d1, 0x983018c8,
+    0xb48ee61c, 0xdbe68835, 0x5d15ab6c, 0xf1136289, 0x28f0cafb, 0xb6a3fbb9, 0xa91f5bbb, 0x1a884e93,
+    0x7dfaf889, 0x563becf6, 0xec78217f, 0xb313b0ac, 0x0f682e43, 0x3a3307bf, 0xbd0cc2b3, 0x468808b3,
+    0xe8f2a52f, 0x87465b98, 0x08111b00, 0xcd2a982d, 0x62d4bd68, 0xb4574c3f, 0xe4bf8ce1, 0xf895b7e6,
+    0x4ad7bbfc, 0x7f45a7bb, 0x258d6f8f, 0xa032a3a4, 0xa9558ae5, 0x3c3a3edf, 0x52c14e62, 0x9c0d5763,
+    0x0b9cb002, 0x4c58d7a5, 0xa3d558f7, 0x2f54fd7c, 0x6ec517c5, 0x46fbd78d, 0x40d99958, 0xcad4de25,
+    0x0b9145e3, 0xdefb4ef0, 0x51b7cefb, 0xaf009ba6, 0x451ac976, 0xa9e6dfea, 0x882ebf0d, 0x13f39e02,
+    0x8862bbc5, 0x11fb2f9c, 0x6ac4d9a3, 0xc7cf7a37, 0x2a0d3ef2, 0x776afaee, 0x8d54c11a, 0x19a923f1,
+    0xbd1d3946, 0xa17ddd08, 0x9ddcfbd9, 0xfd9b1398, 0xeda68ef8, 0x6243f0eb, 0x339f8d58, 0xb7201057,
+    0xc0ec1dbb, 0xd48d93a3, 0x1c9f8fc6, 0x58321d48, 0xd6d8c50f, 0x113b686b, 0xcb17e251, 0x27032089,
+    0xfb8ba67b, 0x7d271ca4, 0xae85475b, 0xc3ee7938, 0x23d31fc3, 0x096b649c, 0xd28f50df, 0xcd2cdf31,
+    0xab867e61, 0x7aea4083, 0x096713d0, 0x14593d58, 0x79089ef7, 0x149d967c, 0x42ae5022, 0x52c8c58e,
+    0xbe61e43f, 0x747d9a1a, 0x4e64ace4, 0x59fb7e76, 0xbacf3bc7, 0x220f35b5, 0x46023a97, 0xd48fe96a,
+    0xb81ea9fa, 0xd30fce93, 0x372e57c5, 0x59b39036, 0xeeaf4fa6, 0xf6e5812f, 0xd4351cd3, 0xc536bbe2,
+    0x8cfc90df, 0x7e81ad91, 0x8a93bfb3, 0x0985b08d, 0xde25c7e3, 0x11fa7447, 0x9e136c8f, 0x0c9a6fd7,
+    0x62c711b1, 0x142dad57, 0x7a941c08, 0xe68334c3, 0x4a48ab27, 0x6f4034e7, 0x321b2c09, 0x659fb527,
+    0xb76a3499, 0x277d22de, 0x69708086, 0x8d8556b1, 0xb8072c83, 0x5055f2a4, 0xf131449a, 0x22292008,
+    0x17ee0a95, 0x7afed94b, 0xe95cb811, 0x1206e934, 0xd4c8ee44, 0xe6878bde, 0x28f99043, 0x43f2fd8a,
+    0x457e889d, 0x6ac6caf4, 0x92fc2218, 0x0f7fa55d, 0x6e2991ac, 0x1ad6d52f, 0x03a9620c, 0x89a6c030,
+    0x9954c50e, 0x6441974b, 0xbf21cb0a, 0x003860e6, 0x749cf1ee, 0x49092326, 0x78166c79, 0x2049ffa5,
+    0xb59d67d2, 0x0c30b2bd, 0x958f058a, 0xc6001dc7, 0xd1ecff64, 0xa38b71de, 0x68e01dea, 0x7e94649b,
+    0x5734af67, 0x500e9f24, 0xffafd76b, 0x352b99d2, 0x8625c609, 0x132feeca, 0x2a81944f, 0x02e161c4,
+    0x4e7cf244, 0xf00e2bac, 0xf00b0136, 0xbcb384f7, 0x2aac82e8, 0x93948ce0, 0xa772e3c2, 0xe2ab8b69,
+    0xeb473f41, 0x5b1ef6ef, 0x2fe1f6a2, 0x380f3c27, 0xbdc8b0be, 0x94062b29, 0x379bdb36, 0xc76bd68b,
+    0x782083a6, 0x694b1b3e, 0xc1986c70, 0x1d5bb792, 0x9deb611e, 0xa1effd37, 0x38399059, 0x60c89f07,
+    0x0b0ff37e, 0x46b7a9eb, 0x7b2af716, 0x6099f945, 0x55c0c894, 0x4ede9004, 0xda2afffb, 0x88705c3b,
+    0x5335c616, 0xffba5b7e, 0x36cc7799, 0xfca678ec, 0x001ca96a, 0xcb06edac, 0xccb39c36, 0x5b65993b,
+    0xee33087c, 0x733254ea, 0x3194abcf, 0x931ce62e, 0x1d7cb9e5, 0x298c8cd6, 0x47fdf025, 0x813c2eae,
+    0xf3645323, 0x30658f11, 0x09c9b6e4, 0xd4535f05, 0x4451b534, 0x123e5eac, 0x42529fe5, 0x7abc2e58,
+    0x56394cac, 0xed50a241, 0x48176249, 0x5fe55863, 0x55d528fd, 0x1927e300, 0x1545f4f0, 0x52824148,
+    0x9d4cd97a, 0xa470ea48, 0xc04f29c0, 0xdf58c64c, 0x80b82ef3, 0x5e6a4f3d, 0xff018268, 0x5586de5a,
+    0x4a6de5d7, 0x87b29826, 0x2f21c244, 0x4e708422, 0x3a66937c, 0x0f6b2387, 0xb25c29f2, 0xf68cf7af,
+    0x80f1445a, 0x91d091e7, 0x09bbee43, 0x95115a2a, 0x08d10e70, 0x7c44ada5, 0xbe9e2d2f, 0x6ee2bea0,
+    0x69f4e413, 0x3d39b70a, 0x28fabdc0, 0xe88b3a68, 0x49ae48d9, 0x80035a5f, 0x669be951, 0x2098c65d,
+    0xb0f9aa42, 0xe83bccc3, 0x1a54a784, 0xb2229246, 0x0365bdac, 0xe2f5894d, 0x4b00a86a, 0x9eb54a57,
+    0xc36df001, 0xa2be8c67, 0x8817373c, 0xd103e458, 0x9793bc75, 0x95f2db83, 0xee13f05a, 0xfb16ad6b,
+    0x0f3e6217, 0xba5983de, 0x9fc2d704, 0x89758095, 0x337e65a6, 0x0f003595, 0x02bb3087, 0x1e81a5ba,
+    0xe18c56f8, 0x5293c41c, 0x074a562b, 0xfaccd5a9, 0xeb8e4f67, 0xfb638e3d, 0x23148e90, 0xe02b5a1a,
+    0x26cea89e, 0x2cdd43f1, 0xce47ef90, 0xab8679c9, 0xb580fc00, 0x3f9279ed, 0x14fa52d1, 0x6023e603,
+    0x863f46f3, 0x91c9c63e, 0x7132cf17, 0x2da54cf9, 0xfb0fe74f, 0xa0322bde, 0x1ddf75a7, 0x16b6ac0e,
+    0xdae105b4, 0x43d16817, 0x30831eb8, 0xab17bb54, 0x7761aec6, 0xce1f3c9a, 0xf163a52c, 0x19d2fb5f,
+    0xcc41a977, 0xcd5cf616, 0xd2b6929a, 0xf9ed164d, 0xbb2cc4c4, 0x18635c60, 0x0d4678c5, 0x129e7653,
+    0xa67d1fd0, 0xf286ffef, 0x507201ed, 0xa602c491, 0xa377fec0, 0x5b6c5fa2, 0xaecfb616, 0xad9d57bc,
+    0x7b6236f9, 0x91c03429, 0xe3e27f79, 0x48b796ec, 0xa010be5a, 0x51d93850, 0x3b4eacd3, 0x8f7c2042,
+    0x00dda4f7, 0xf7b56dcb, 0x9fbf1577, 0xc9e20e7d, 0x66007fc5, 0x9765e809, 0x71f36d3d, 0xca139018,
+    0x48d0215b, 0x8c9cde44, 0xbac1b927, 0x40473a9f, 0x26d1d887, 0x90501480, 0x274415a0, 0x35ecba36,
+    0xf5095961, 0x3ba9e3b8, 0x85b2c6e6, 0x5674973b, 0xefc53458, 0x0569ecf2, 0xd4801055, 0x8bdbf913,
+    0x857a3698, 0xac418bbe, 0xb92fd445, 0xfab4c6f2, 0x60384d55, 0x0191f493, 0xb2f25fd7, 0x0dafd1db,
+    0x48965af8, 0x0e3a89cf, 0xb795faa5, 0x89d1cf87, 0x3a4480b8, 0x7948cb8a, 0xc402faa9, 0x515f1a69,
+    0x920d1b1d, 0xfc123233, 0x372a1344, 0x4275d25f, 0xe6f95221, 0x2d08bbf7, 0xd80fcb38, 0xa201fd43,
+    0x5092beff, 0x92747b53, 0xdccac56d, 0x90711ffd, 0x266ae155, 0xbde82758, 0x246be7fe, 0x6d4cc5af,
+    0x3da7913d, 0xe086a0fc, 0x33a0af34, 0xb3c61e08, 0xb6b70a8a, 0x5a1739fc, 0x71bcba1f, 0xe0270712,
+    0x1f273760, 0x008c8d93, 0xa8993c2e, 0xa9a301ec, 0xbd7f2496, 0x9fae9d08, 0xd744c088, 0x555a038e,
+    0xb58adcb1, 0xb7014c59, 0x52c4c817, 0x9d66cbc7, 0x4c3290a6, 0x0c3bc507, 0x3a27295f, 0xabf43269,
+    0x857f1c6c, 0xceedb08b, 0x655db2b0, 0x94999e52, 0xb4dc8e0d, 0x0412fd69, 0x3a495789, 0xe91a1d5b,
+    0xc43db622, 0x8062734f, 0xa6fe1217, 0x992d1fd7, 0x69156577, 0x1521aef4, 0xe12c499e, 0x98bad46d,
+    0x406ea659, 0x5e40d1e4, 0xb0254a54, 0x0e1861a9, 0xfbe7423d, 0xa34246dd, 0xc0fe4145, 0xd6fb4e36,
+    0x306ad126, 0xaa2583c6, 0x3bbb181d, 0xc3fece5e, 0xa0334d6b, 0x70834bff, 0xe65c841d, 0xbf168ddd,
+    0x797b81f5, 0xf8395d74, 0x5a475678, 0x6d064d56, 0x74aca166, 0xa921a94d, 0x60f3e21d, 0x6e873aa9,
+    0xe96b1e90, 0xdf536549, 0xcc306e50, 0xf697d0fb, 0x372ae2a8, 0xf6dc0cf7, 0x09b46b02, 0xa0739775,
+    0x1b81491f, 0x93960798, 0xaf5a3a45, 0xd64a0113, 0x4e989470, 0x3d71f522, 0x73ba015e, 0xea6cc22a,
+    0x51a637d5, 0x8c6f2c90, 0x11ed45e2, 0x34125ab9, 0x45329561, 0x3f92e950, 0xb660489c, 0x932a2df6,
+    0x2525a54e, 0x22bc1d5d, 0xa94f453e, 0xf617e03a, 0x17b0e2a5, 0xdcbd6476, 0xd83e42b6, 0x95f8483f,
+    0x00000000,
+    0xc3da1971, 0xffff95b2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000035184372088832 */
+  { 0x00000000,
+    0xfe114aea, 0x3377c69a, 0xe70cf9d2, 0x705ddf56, 0xbb916f08, 0x8f64ad0a, 0x458a5eca, 0x322ca6c9,
+    0xfb02befd, 0x2070569d, 0x5ed8d990, 0x6fc520dd, 0xa89ccd37, 0xdd0fa7d2, 0x690e47c5, 0x4a2bc800,
+    0x142a66e6, 0xffeaa89b, 0xfd7e5a66, 0x55cc3d97, 0x24ddc140, 0xfce922bc, 0x9270b7dc, 0xd6c0a893,
+    0xad05271c, 0x074358fb, 0xac43af36, 0x3cd7b891, 0xfabc612f, 0xb63c10cf, 0xec154bb5, 0xc9e83cbf,
+    0xf197608c, 0x85625d0b, 0x4bcdcb4a, 0x1451be37, 0x72292be3, 0xc98f7f2e, 0x5a0385e2, 0x266ca3e9,
+    0x00245e40, 0x358ec24b, 0x362a6469, 0xf4efd4a6, 0x70e8fc11, 0x3296f69a, 0xaf97fd36, 0xa9e4cc7c,
+    0xdddeafca, 0xd3391d0d, 0xf1033ab9, 0x19c57146, 0xd6922f26, 0x8d01c337, 0xdc49a68f, 0x0d82f28b,
+    0x467cec52, 0x0b9b6ca1, 0x85a48d17, 0x534f991d, 0x95399883, 0xa958f1ef, 0x929a9be3, 0x6450b2c0,
+    0x4820e959, 0x405c9785, 0x9eb54dad, 0xad7260b1, 0x7ab85f3d, 0x5a8144c2, 0xccf3d287, 0x086ae6f0,
+    0xef04fa87, 0x835528fb, 0x182878a9, 0x546e54b7, 0x683d4bf1, 0xf1f4851f, 0x79bc417d, 0xc6a6faf1,
+    0xe40568b5, 0x12cbb403, 0xc2dec46d, 0xcfdeaa48, 0xa15ec9c4, 0x17cb1e1e, 0x4225c316, 0x997568cc,
+    0x880df8bb, 0x29de89ac, 0xb2f73046, 0x715bd922, 0xb416f326, 0x4feb5850, 0xdd791b19, 0x11c4cf05,
+    0xb303a037, 0x7eb6b723, 0x789888e4, 0x52d9f80f, 0xf1b8a6d5, 0x09b52262, 0xced97a69, 0xb9875c58,
+    0x5d3cce20, 0x905f3799, 0x56b6a9b5, 0x75939887, 0x15a37802, 0x6b9ecca8, 0x4966ed90, 0x2f58cf66,
+    0x7c0cd43e, 0x14e8e2a8, 0xe03b0d40, 0x2ac4abc0, 0x68f3e03b, 0x5868d09b, 0xa4678c55, 0x516794d3,
+    0x98e7f9f1, 0x19b35723, 0x5134b881, 0x8b20281f, 0x7cb94448, 0xdd58dc9b, 0xdfacd5d0, 0xb8ba81c6,
+    0xc5059383, 0x861e809d, 0x02b905fe, 0xf95d15dc, 0xba1d21f3, 0x39de7928, 0x0d08bd7b, 0x1d27278b,
+    0xd11d6748, 0xe82c031c, 0xb6b70a5f, 0x6efc2c07, 0x282f5655, 0x672773cd, 0x0a4f2137, 0x35ae6cab,
+    0x1f23854b, 0x7554e1cf, 0x45131988, 0x0ce65a05, 0x4140515f, 0x547b93c7, 0x75d007ef, 0x08debdb7,
+    0xf125713b, 0xd3bbc76c, 0x78eb53b9, 0x872d067e, 0x7e2fa5fc, 0x5138c593, 0x4b3c880e, 0x84d00a58,
+    0x1cad19c7, 0x51cae4ae, 0xef216d59, 0x38a4b2cb, 0x82f944b9, 0x42aa3e32, 0x10605686, 0x9daed85b,
+    0x318d5d02, 0x88ebfb8b, 0xfb4a84af, 0xc5088691, 0x47f14cee, 0x3a8d073a, 0x15d960a1, 0x16c34ec0,
+    0x9cccf055, 0x95bdd16d, 0x0608ef5e, 0x477bf221, 0xb4d2a32b, 0x51f70f68, 0x2504cc23, 0xdb1e049b,
+    0xd8afaad5, 0xb258c549, 0x2d66757f, 0x66297e53, 0xcbf549af, 0xf2c215e5, 0xc8618e59, 0x6306ba05,
+    0x36cd5037, 0xc107371d, 0x11cc2b91, 0xb62c52f3, 0x9e37f2e2, 0x272c174d, 0x32fd504b, 0xe72ff7d3,
+    0x1041aca9, 0xb0c60316, 0xab875eaa, 0x0ba8ef70, 0x3a61192b, 0xb14ca2ae, 0xbe1210de, 0x7244dcc1,
+    0x2400a455, 0x9648ab28, 0x6b74f5a7, 0xe0beea9a, 0xb51d33e7, 0x33ccfc71, 0xa43f7515, 0x49133574,
+    0xaf20b2de, 0xa0caea04, 0xb24701d2, 0x7e035777, 0x3de43522, 0x2db73a9b, 0x8d0353fe, 0x9edcd9e2,
+    0xc84fe7cf, 0xa78e3c44, 0xcbbb56d3, 0x933fd02e, 0xe384bb77, 0x5858c1b7, 0xff126e36, 0x1eaf5f55,
+    0x530b5877, 0x76498d16, 0xc2d3031a, 0xf81a88ae, 0x78f4f86b, 0xca078045, 0xcafc3124, 0xb8e1f78f,
+    0x76c3f822, 0x47979a88, 0x40bdb40f, 0x771ae7ec, 0x8e277472, 0x8f3fa154, 0x85d16deb, 0x78dfffc3,
+    0x1320d124, 0xe41bb45b, 0x5d751345, 0xc6594db4, 0xc49e4f9d, 0xd052e1c8, 0x8730b605, 0x596bc082,
+    0x5e04405c, 0xbe2c12f5, 0x40006130, 0xcd557004, 0x95a73e89, 0x53281ac1, 0x436eae26, 0x31f48662,
+    0x0b931860, 0x9f402a0f, 0x31e403d3, 0xd5bd6050, 0xba3d1925, 0x397c744e, 0x4397b2bc, 0x9b5b9452,
+    0xa827fd00, 0x6d04087b, 0x11328ef2, 0x543793f2, 0xe5a24dae, 0xbea8df62, 0xdb94e303, 0x6d276948,
+    0xc5844bbc, 0x22d83c67, 0xcd384589, 0x437a6bad, 0xc9d67a79, 0x8bc85832, 0x8d4b6165, 0x859b1476,
+    0x0fe011d8, 0x7db11c75, 0x0a7872f5, 0x16e59c10, 0x159c7dc0, 0xa378f3de, 0x2e3fd0c5, 0x5b0f1cab,
+    0xc399f546, 0xdec9ea69, 0xeea398a8, 0xc2337890, 0xa1cfdd44, 0x26f6f1f9, 0x22eae2bc, 0x0fb8810d,
+    0x9102885a, 0xb47560a2, 0xb3bedbdd, 0x94fd0b30, 0x120114d5, 0x1b720d7c, 0x2fc9d896, 0x77efec75,
+    0x06e52fa8, 0xf4d3fda7, 0x8fc3932c, 0x8f6ba2f5, 0x6ff9e1af, 0x1f4c13d7, 0x9f7bdce0, 0x83f2e099,
+    0x3effb1f4, 0x5aee938d, 0x8c7e3ff4, 0x27ff3be1, 0x8060bd9d, 0xd15b870c, 0x0cbe16a8, 0xb027fe7b,
+    0xe6f4e162, 0x4cc4af46, 0xa11f7e02, 0x267fa7c0, 0xe577e231, 0xebe18eef, 0x6811f40b, 0xa2ded2d9,
+    0xd465c788, 0x9e3da326, 0x211777ac, 0x76b2a999, 0xf3bccf7c, 0x0623c824, 0x355b8d52, 0xd2d3d827,
+    0x4504a39e, 0xaef3a984, 0x5fa42f7c, 0xde77b280, 0x87f1925d, 0xeedb12fb, 0x7084b1d0, 0xf77acade,
+    0xc1e058d6, 0x8e432aaf, 0x2aa7196c, 0x53a3b7fc, 0x5ce72669, 0xf1c0be29, 0xa5a957af, 0xed43ef59,
+    0x3250ff64, 0xa5e766e6, 0x145ba8c3, 0x0f80c0d6, 0xc4e5c773, 0xba65b067, 0xfb60dbd7, 0x631a7f79,
+    0x45c73aa5, 0x400df6b4, 0x353ae7c9, 0x969d14ca, 0x57f5140f, 0x54f442ec, 0x744bf277, 0x129ae05e,
+    0x1f68a693, 0xd841f3b9, 0x69d3bc7a, 0x62b0cb4c, 0x0e269b53, 0x9dac5f7d, 0xc2362ac4, 0x772ded21,
+    0x5a205834, 0x8d2045f7, 0x5707e3ec, 0xae89bf81, 0xa2aa3474, 0x16abad22, 0x62b12277, 0xc48f5224,
+    0x57c51ea1, 0x9478df12, 0xe7487b98, 0x69c7317f, 0xac130340, 0x8d2a29be, 0x7d3e197a, 0x96b40a37,
+    0x5f7b1f19, 0xeed39f58, 0xf659a0be, 0xd27ac424, 0x944cb9f8, 0xf08f6e9a, 0x241c295c, 0x9fbaebbb,
+    0x79d7c072, 0x4113a9e7, 0x78b40c7d, 0xc2b19f8f, 0xbff34e47, 0x661623f8, 0xf8f30181, 0xd238c33c,
+    0xca59f2ac, 0x9a2a6fa2, 0x8b1855d7, 0xa7c5130e, 0x37680428, 0x6cc04da5, 0x91183851, 0xb6dc246f,
+    0xd924bc35, 0x306cfdab, 0xe7c20faf, 0x8212c15c, 0x4d5c96bc, 0x16479e8f, 0x91910d76, 0x0151d7ce,
+    0x2a0c8da1, 0x529ee031, 0x2d76ef4d, 0x6ab43ccb, 0x362b425b, 0x1d4f9599, 0x4041ac8e, 0x278290cb,
+    0xf20946f8, 0xab28cd7a, 0x2a5ded7c, 0xfe912eb1, 0x877672a9, 0x50df701b, 0x00853a8c, 0x881b8548,
+    0x5ac46442, 0x9d6e323f, 0x66a395ef, 0x8f61169b, 0x15182cb5, 0xdd59acd2, 0x564bc93d, 0xb4c18ccc,
+    0x72204f18, 0xccab133f, 0x6b63a66c, 0x6697c389, 0x81d5d9ac, 0x0ff3dc91, 0x72d7e361, 0xc6fac944,
+    0x5017831c, 0x24a4a881, 0x76d140b0, 0x4f2beb6d, 0x02b0a0e9, 0x61431538, 0xaa546ea7, 0x62c09e92,
+    0x4e03d3c0, 0xabd49901, 0xc515c18c, 0xb5fce298, 0xbb29ec35, 0x97f65789, 0x96a1164c, 0x428db72b,
+    0x6fafbc70, 0xdf2ed983, 0x7ae86bed, 0xd5e7c01c, 0x7228ed86, 0x34cf0bcc, 0xd516277f, 0xf2ad8420,
+    0xa8cf1a04, 0x2b4fce64, 0x5c3da79e, 0x0433e0e5, 0x3cc98c91, 0xf2df2f9e, 0x156a20f0, 0x594b9255,
+    0xf1a21874, 0xe390e963, 0x8bdd37d0, 0x84b7b8c8, 0xcc2b2a3f, 0x8e53fda5, 0xa9e06972, 0x4f459aee,
+    0x957101c1, 0x5822e3ec, 0x95091c73, 0xeb62e27a, 0x0954c97e, 0xc6bdd1d4, 0xdaa29600, 0x2426deda,
+    0xfddd9634, 0xeb0e1bc6, 0x5d1398f3, 0x76a8a9d8, 0x02507034, 0x29954925, 0x2d1a7b73, 0xd8c90c90,
+    0x94ab1556, 0xb74268b6, 0xba3d53c1, 0x1788263d, 0x857f40b1, 0xf16a5112, 0x5d61a515, 0xce579826,
+    0x5a4848cb, 0x6c01ad7d, 0xe2dceb49, 0xadf3d326, 0x8469a73b, 0xa1d837ac, 0xba68c058, 0x5b77bead,
+    0x6df1c857, 0x9883a7d7, 0x3abfef04, 0x2a67dda5, 0x88e36d54, 0xb2b3fbd3, 0xe4d66f4a, 0x5dd950a4,
+    0x19aa0d31, 0x9abc66e8, 0x95631b65, 0x1e76fd75, 0x81115e4e, 0xd562801a, 0x2338e52b, 0x1c76b3a7,
+    0x956ccaae, 0x25fd1b1f, 0x7cce40f5, 0x2cebbea6, 0xe63ce81f, 0x0415f147, 0x22d54e65, 0xe66c7443,
+    0x1dd38ee9, 0x200d5ef0, 0x0153df1e, 0x9bfcce26, 0xa06ed03a, 0x5bdad4a7, 0x8796744c, 0x66f2c4b6,
+    0x9f2b8b85, 0x88ab6ba1, 0x13b8f9ab, 0x470a4d43, 0x4ab26163, 0x26e6301b, 0x053fd049, 0x358618b0,
+    0xde127d5e, 0x6a4472ae, 0x51509f8e, 0x0fc787f3, 0xbab4bd50, 0x3e16abc5, 0x1e773c89, 0xb51cca0a,
+    0xb740c05a, 0x6ba8a7b2, 0x66ffed99, 0xf6cbc777, 0x263d3502, 0x3262725b, 0x85ecfa58, 0xcde26660,
+    0x2be8250c, 0x9c935930, 0x94b66583, 0x4023c751, 0x9cebdc7d, 0x3c6fcb6e, 0x007724e4, 0x83e0d05a,
+    0x53e566ca, 0x2cd9e22e, 0x6fe77c3a, 0x99985bde, 0xe753843e, 0xd3bc6342, 0x29a2d5dd, 0x264f5211,
+    0xcdf4afa2, 0x542edc98, 0xe0031ce6, 0x742ba934, 0xee9e8b0a, 0x15070b8b, 0xfc4ac7db, 0x26e54691,
+    0xd32364bd, 0x396edfdc, 0x53eea51a, 0x777da479, 0x2901eea4, 0x744264f7, 0x705ec158, 0xc417def6,
+    0xd2d2cf20, 0x8c2c196c, 0xad4d56a9, 0xe34b5d46, 0x753a7a25, 0x8ed01afb, 0x3fe7f02d, 0x42c9b23d,
+    0x5f83a77a, 0x554b5132, 0x7780f96b, 0x1f754c43, 0x0debf01b, 0x126325d9, 0xc2177e39, 0x7883b551,
+    0xfa534ea3, 0x7c4c75f3, 0x3a669dcd, 0xa5883c9f, 0xa4d96695, 0x957b8ab9, 0xbe8cf0d3, 0x70774f55,
+    0x62d35c8a, 0x18b00757, 0x7b63d778, 0x11071793, 0xdcc42ba2, 0xda6227d0, 0xd4ca7bf1, 0xfe5b142d,
+    0x3c6c1bb1, 0x82b9476c, 0x7eb60271, 0x8fcee543, 0x1cff2faa, 0x3cc683a3, 0x9d54369a, 0xed2f9515,
+    0xf1024525, 0xbe75d1d0, 0xd4a447c6, 0xdbc84e19, 0xd0abebf7, 0x26c1530b, 0x05d4e2e2, 0x28c31028,
+    0x9735a526, 0xf39d7d25, 0xc330506f, 0x0fca3492, 0xd4805021, 0xda1b6ea4, 0x34fc855e, 0xa5d1c674,
+    0x61568ab2, 0x7121c5df, 0x7fd163c6, 0x5dcff13e, 0xe0e83542, 0x6ddcf004, 0x497b1a35, 0x5c61c0b3,
+    0x5ee1f654, 0xfeef76ba, 0x6952edfc, 0x12dea49d, 0xe9f7d387, 0xb0ad5617, 0x0d65e219, 0x69c9f43b,
+    0x35bc810b, 0x66325fac, 0x07eacdf1, 0x782d499a, 0xda8290de, 0x0ca7d296, 0xb2a55fd3, 0x6081c328,
+    0x115fd46f, 0xfcf4d833, 0x78efb8e1, 0x52989053, 0xda71c430, 0xdaa7c483, 0xae610ada, 0xfe68b08e,
+    0x115ca7bd, 0x611333a4, 0xe612dbba, 0x2cf11255, 0xcb83b869, 0x7736aab3, 0x6aaa736a, 0x51daf1dd,
+    0x0036d31d, 0x56047871, 0x47b8f1f8, 0xe9904db3, 0x331dbf1b, 0xfe29a8b8, 0x14af3020, 0x2443514f,
+    0x7371045d, 0x0a7cd786, 0x8dd230ef, 0xba9d326e, 0x2b662988, 0x1419409b, 0x8ee004d5, 0xc00cb5e2,
+    0xfacef174, 0x9d1f4730, 0x567f40ee, 0x7268d6b2, 0xd1a54a9c, 0x50ff1bd1, 0x476546b0, 0x47c938fb,
+    0x887929f9, 0x624e0b6c, 0x7ec48a4e, 0x38fa6c33, 0x88ccf0c3, 0xfe0b3f5e, 0x18060d1d, 0x32d8a211,
+    0xd1f2b41b, 0x23d4f0e8, 0x3a18556f, 0xf9dc6918, 0xf95851c2, 0xe07afbaa, 0x8e4d9487, 0x83c28ba4,
+    0xc20b00ce, 0x4638e127, 0xef1758fb, 0x6795b354, 0xa5f829e6, 0x0b10a375, 0x76770b22, 0x5d20cab8,
+    0xafb46cd0, 0x03f0a946, 0x26a2df42, 0x15e0d91c, 0xc0683d7c, 0x703cb8e9, 0x8ad64a1c, 0x9012be3b,
+    0x42d5b9fe, 0x23bd516a, 0x7328e79d, 0x7cca7923, 0xaf7a2974, 0x444ba032, 0x535bca1f, 0xc713cfd2,
+    0xdc42b0df, 0xe5dbbc1f, 0xd2cc928e, 0xcba03bf0, 0x22f00da1, 0xa3d50630, 0x5b79d712, 0x9d49edd4,
+    0x80cd7c45, 0xfd14de83, 0x45f07cf2, 0xfdcd0d82, 0x3fe06b58, 0xebd73810, 0xe877d8e5, 0xfa1b70ea,
+    0xfa880025, 0x6e205381, 0x71dea391, 0x620b4810, 0x12c5396c, 0xca0878ea, 0x0ecc90ea, 0x6c34f2dd,
+    0x98319711, 0xc46a79ff, 0x4da8c0d7, 0x29896202, 0xaa2dfc5e, 0x260d3839, 0x424cc719, 0xf33c41d8,
+    0x7f35b67e, 0x6b586caf, 0xe867a610, 0x4fbf0e16, 0x7da167e5, 0x7ac1c494, 0xdf0a96d6, 0x7cea169d,
+    0x743a2bf5, 0xe4e96c2c, 0xea258b58, 0x3b1bc227, 0x23189734, 0xd6a67535, 0x2dd29f6c, 0x681eb584,
+    0x0c08190a, 0x3b92c7b8, 0xa6914c15, 0xdab5ef93, 0x7ddda627, 0xaf8e51a6, 0x589c1840, 0x1c986789,
+    0x279b3068, 0xeeff263b, 0xc2db1ee7, 0x611b495e, 0xd9176e95, 0x94b9c01d, 0xe05ce98e, 0x6e8c2be2,
+    0x0216cd64, 0xd8a903f2, 0x5a2db613, 0x38ee092b, 0x328273cb, 0xf6d2396f, 0x6f721dbf, 0x1cad4591,
+    0x34358564, 0xbb204aec, 0x41b64516, 0x72ae1c29, 0x9624ae43, 0x1a100cdf, 0x83068d41, 0x3702b116,
+    0x5f35e6d5, 0xa933236b, 0x217d3728, 0xfc8e7c0f, 0x364fc0f3, 0xfca9508c, 0x9cfee2ee, 0x39786e5e,
+    0xcdc36ff3, 0x04e9a597, 0xbf9ec6d2, 0x35ebdd95, 0xb2f0628a, 0x33da774a, 0x40f18010, 0x4d4a6d19,
+    0x4c3db951, 0xbe04143b, 0xb7f9180e, 0x84a0476e, 0xf71ce5e4, 0x4ba25bc1, 0xea1b685a, 0xc6a00974,
+    0xb9b8a84a, 0xcc4ef29c, 0xb43b2903, 0x44ad81f8, 0xc6c50827, 0xcb2fbaf3, 0x89057810, 0xdf185ff7,
+    0xd957d2c7, 0x8908940b, 0x5637eab1, 0x8d477f94, 0x64207ca3, 0x7242e170, 0x4bbedd54, 0xc8826556,
+    0xbe4577b0, 0xc48d1094, 0x10a59da1, 0x5a5aaa23, 0x1f6b6579, 0x8799acfc, 0x0863b484, 0x9665a7a0,
+    0x024a0d13, 0x84801c79, 0x57d894e3, 0xe2233520, 0x9bf4b98e, 0x58c2b19f, 0x7a113c7f, 0xf27eaa15,
+    0xa475dd5e, 0x1b7d28f3, 0xe98b2efe, 0xca4906a1, 0x7a14f6a4, 0x8966029a, 0x261e402b, 0xd6b04402,
+    0xa346d107, 0xa85d87fe, 0x4aa6da40, 0x70e5282d, 0x1f0061f6, 0x057fae16, 0x86cdad34, 0x8a9b0257,
+    0x97276860, 0x640a504b, 0xe9ded3d7, 0x6b32b078, 0x9ec698d0, 0x074b518d, 0x731e90ec, 0xb7fb518f,
+    0xcbb53622, 0x8e6be308, 0xfff30410, 0x4957f423, 0xa0f42bcc, 0x6ceea272, 0xf307ff08, 0x82464e7b,
+    0x389230db, 0xd1b82fdd, 0xa61fcdb3, 0x50915f7b, 0xb22ac185, 0x610c749b, 0x22123feb, 0xc93b158c,
+    0x19522447, 0x42081ad6, 0xa3d1c506, 0x4211f135, 0x71950173, 0x563dfed2, 0xd3d6d43e, 0xa04c2361,
+    0x232f48fb, 0x183d3c5e, 0x219bce76, 0xfa011a5d, 0xe0f567f2, 0x89065284, 0xd72d3efb, 0xa6a81088,
+    0x0a508b01, 0x5ff340d2, 0x192a82b9, 0x45cb10b5, 0x12907ee1, 0xc4d19908, 0xda6684bd, 0x42645158,
+    0xdbf4cd4f, 0x23172da2, 0x56293167, 0xb73a7230, 0x623b0075, 0x794ac3a8, 0x6d2a544a, 0x70b22bd4,
+    0x8112ef46, 0x89414e3c, 0x527a5b3a, 0x5d2f6d35, 0xdc032db8, 0xca4893f5, 0x755505e6, 0x5418a4d9,
+    0x5c24715e, 0x416f9188, 0x8107582d, 0xc38a4dce, 0x71054f82, 0xbcd2bd00, 0x98781456, 0x8a8cd5ee,
+    0x00000000,
+    0x61ed0cb8, 0xffffcad9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000017592186044416 */
+  { 0x00000000,
+    0x1f22894e, 0xea01c4af, 0x62b4a1ca, 0xe935570c, 0xd2c97227, 0x414b4b0c, 0xaed14e94, 0x90918215,
+    0x23807d50, 0x596f1a30, 0x6cba887e, 0xb5a86bd3, 0xbaae4983, 0xb8d93f99, 0x3500018a, 0xee30b9e0,
+    0xf29f30c6, 0x10f96c7a, 0xa1183b00, 0x49c1efee, 0x18897944, 0x4cb4f262, 0x7eb81bf5, 0x996dbf7a,
+    0xdba8fddd, 0xc171c461, 0x6cb7298e, 0x3789aa0b, 0x9b0b2d05, 0x9318463a, 0xe9870486, 0x492e0ea9,
+    0xd36a66ec, 0x3f916d1a, 0xd56671a9, 0xe13a862d, 0x3e9fb994, 0x09cb35ac, 0xbf578498, 0x720676d7,
+    0xa951901a, 0xb5e9078d, 0xe4ec0e42, 0xcd930f13, 0x78aa8fff, 0x1f00d486, 0xdd7d73e3, 0x4c5820c8,
+    0x5f847c6a, 0x2a151543, 0xdd3338bc, 0xf90b7948, 0xb5ac1ae9, 0x0f2ec02a, 0x6dd61c24, 0x33607720,
+    0xadc28c71, 0x69282087, 0x5ea2511b, 0xd4186775, 0x33ad519d, 0xaa45f8b6, 0x89926122, 0xe94d9bd6,
+    0x2cf71dae, 0x22e56b53, 0x32da789d, 0xa98eaf29, 0xe303f725, 0xb8772722, 0xef1fa330, 0x7bfc6457,
+    0x6c227363, 0x2dc0c8fb, 0x6516b5a5, 0xd908023f, 0x4527f129, 0xe5c0fec0, 0xadb0091d, 0xad19441c,
+    0xc799f406, 0x76a480f4, 0xf1c3ae3e, 0x9c7a69b0, 0x6c0eec02, 0x75378ba5, 0x8e9f83c1, 0x5dff91e9,
+    0x5b3d2349, 0x143616f8, 0x103f76e1, 0x10433b3d, 0x8e3feb0a, 0x1156f5f3, 0x0b12c474, 0xbee63b7a,
+    0x509ea63a, 0xf0b6bbce, 0xd3de7367, 0x304781bc, 0xa73259d9, 0xb7397dd2, 0x0527ce7e, 0xc30d00dc,
+    0xe0b82f99, 0x915110ed, 0x602774bd, 0x4ed1bbef, 0x110a1f92, 0x0d73051d, 0xfe1aa70d, 0x0e1698b3,
+    0xe2a6e87f, 0x5ea04dba, 0x5523ff5e, 0x8ccbc80c, 0x0f6c95eb, 0xfb03b440, 0x0bb40e67, 0x2b3964e0,
+    0x6655f44e, 0x00b9cc14, 0xddeafec0, 0x2cca839d, 0x2cbd406c, 0xead97e70, 0x321fc128, 0xcb9f019e,
+    0x25ef5aa7, 0x3fc8292c, 0xbf24ac25, 0xfc80682f, 0x47c482e2, 0x43b95701, 0x710e8407, 0xd55313bc,
+    0x912a1668, 0xee189879, 0xba3e2087, 0xf4f81087, 0x3c3134e8, 0x011fde4b, 0x6ac58b58, 0xd5a1504f,
+    0xdbaba08c, 0x6d456126, 0x766b2397, 0x76c353dc, 0x90b32b7a, 0x58c87e33, 0xe5dc6863, 0x30e3cc2a,
+    0x01c7892c, 0xacf41265, 0x762e8fb1, 0xa190ffa9, 0x87348c10, 0x29ae2be0, 0xc7391c19, 0xce34a23f,
+    0x0725f946, 0xa113889a, 0x8ed8c330, 0xa5b3a82c, 0x23e667f5, 0xdc57211d, 0x546cad67, 0xa685b822,
+    0x877216b3, 0xc370d079, 0xcf9a1be4, 0x714e3b27, 0xd4bd024c, 0x95bb305b, 0x59f1afc9, 0xbe2683b4,
+    0x5d36f7bc, 0xc7e43c32, 0xba1f5e8f, 0x336937f6, 0xcd550210, 0x788f176e, 0x078e5901, 0x5472ccca,
+    0xdefec258, 0x4c8a302c, 0x565a83b3, 0x890ec3a9, 0xb2bc26ee, 0x1ba9584a, 0xadaa2813, 0xb2a3e636,
+    0x955e0f37, 0xbeb2293e, 0x4170ed5d, 0xa22020e8, 0xe12d2961, 0xae6809d5, 0x7713cca4, 0xf641d6fd,
+    0x2d6f3a28, 0xa45d6393, 0x8becbf95, 0x82e6522e, 0x87985917, 0x31b738eb, 0xc8061364, 0xdcf19683,
+    0x8d57f156, 0xd1e9a019, 0x47eb1005, 0x8ac2a136, 0x58cb42d3, 0x9bbb0338, 0xe733ca7a, 0xb2dd01cc,
+    0xce8c6660, 0x240e1157, 0xd9057e76, 0x4a336907, 0x66d96895, 0xf4ae92b2, 0x78f99702, 0xef43eb2f,
+    0xec447006, 0x9d5a4a40, 0x1ec4765c, 0x8b0b5976, 0x58d92f6a, 0x22cd948e, 0x2e891646, 0x511ba468,
+    0x589c2822, 0xa3480901, 0xa2decf0d, 0xbfc661c3, 0x729c0b35, 0x5f33f362, 0x2de3f853, 0xfb0c57db,
+    0xc54e100e, 0xf78643bf, 0xedef6129, 0x76310d47, 0x5d79391c, 0xf0f68ac4, 0x6362dcfa, 0x7d954b9b,
+    0x5cb7b337, 0x8047de68, 0xaaf94d88, 0x52d1d9e5, 0xc5b9c329, 0x2af60a74, 0x499f362e, 0x943563b5,
+    0x7a15451d, 0x6af94d17, 0x550e8e6a, 0x6f5c8284, 0xe1614cb1, 0x7df47eba, 0x59d8cde0, 0xf42c49d1,
+    0x42da6076, 0x5281831e, 0x728f0dcd, 0x80ed7569, 0x3d05a342, 0xf1be2487, 0x5f79f945, 0x59dac1fa,
+    0x8ca1020e, 0xa586b3e2, 0x9c99729f, 0x624a3052, 0x4bf6a5e6, 0x17d1c46d, 0x80c62edc, 0xf102333b,
+    0xf0cca39e, 0xd3e1aad6, 0xb018bba2, 0x9ccef282, 0x28fd78ef, 0xff12645a, 0x7eb8394a, 0x6b7b17f3,
+    0xbcecb713, 0x645dd322, 0x23131f82, 0x48948aa4, 0x4c4c2966, 0xe82f4a5f, 0x1136d6fb, 0x9eb942e8,
+    0xc88a3341, 0xa990ee00, 0x75631bf0, 0x93f9c33f, 0xbd93b0c5, 0x0686fb81, 0xc58e0c60, 0xcb433d0a,
+    0x3470f3a2, 0x43f7a51f, 0xf797431e, 0x7c79467d, 0xcc4af8f5, 0x314decaf, 0x5053d2f2, 0x6f1b80de,
+    0xf453d241, 0x8146be26, 0x30543073, 0x922cf409, 0x3e331c0d, 0x577645fa, 0xa48117bb, 0x32e9ef7f,
+    0x0784b979, 0xe27d24e6, 0xab821b97, 0xd0156c4f, 0xa886285c, 0x1e83ddaf, 0x76334c39, 0x9f0bf80b,
+    0x69e1d488, 0xbfbfcb3b, 0xa1b51f12, 0x10a50bc3, 0xebc95113, 0x33aa281a, 0xb1a3dcc1, 0xd9b57cf9,
+    0xac5109ab, 0xb6593b41, 0x03884734, 0x716adbef, 0x2ae46ae1, 0x8559ca2e, 0x259b36ee, 0xc2d4704b,
+    0x60b0bed8, 0x271bb920, 0xe3a303d0, 0x79589f26, 0xc4a4a9c2, 0x88f61e3c, 0xa0a8d499, 0x3131bf56,
+    0x0db25d52, 0xf95fcdb5, 0x05abacee, 0x03b67197, 0xe95500fc, 0x2b620465, 0xc731e6b2, 0x9171344c,
+    0xa915cd39, 0x267a2561, 0x195c8b91, 0x8069bb5b, 0xfe169fe4, 0x8b1f7bd0, 0xf427d1bf, 0x78e1b4e0,
+    0x65430dca, 0x182b5acd, 0xfe488109, 0x769078d0, 0x4c459639, 0x152d477a, 0x4e8cbc64, 0x4fe2db10,
+    0x3ba3c405, 0xeddba880, 0x2f1ad041, 0x139f24c0, 0x17328389, 0x0f1bdb24, 0xa140904b, 0xc80f6962,
+    0xe59923da, 0x824eeb73, 0x99e7b437, 0x49a7cdb3, 0x006b360b, 0x9537e662, 0x9f7a3117, 0xf3730346,
+    0xb9a7dc6f, 0x01f8c367, 0x00520d89, 0xb5e20f04, 0x988d7909, 0xdfe88f05, 0xf4c423cf, 0x514cfef9,
+    0xf819dbb4, 0xdccc8800, 0x2d672c05, 0x153c100c, 0xc948cbcb, 0x3840f415, 0x4a8cbdf0, 0x743abf10,
+    0xd770fa48, 0x3729f5c9, 0x8f8588d7, 0x551ee7a2, 0x70c8669f, 0xfc7e3d55, 0x0c0e8bd5, 0x599ca695,
+    0xec8b0904, 0xb96a8e38, 0x769d96bc, 0xcd06fc08, 0x07a29e5e, 0x330baa93, 0x961fb1c3, 0x081a9062,
+    0x68cea519, 0xd1a2b6ad, 0x9951c9e2, 0xdd725e8c, 0x6ea9b7f5, 0xf0211ce0, 0x372204f1, 0x0b30b3be,
+    0xa79c9689, 0x19358737, 0x9dced577, 0xe769160e, 0x609e889f, 0x171e67fe, 0x4c9e3504, 0x36210620,
+    0xfa993c48, 0x23bc7943, 0x3f4fc0bd, 0x2673698a, 0x031c07d4, 0x55fee48d, 0x1a49ed36, 0xfb44e68d,
+    0x69ae1b5b, 0x2a18c222, 0xa90a61de, 0xf55e3e08, 0xa9577115, 0xe8184171, 0xec974191, 0x8a491677,
+    0x7920cdb9, 0xde18dd6b, 0x01700caf, 0xeb512b89, 0x94f857e3, 0xe8a174fd, 0x8cd06681, 0x14a52408,
+    0xeb737c7f, 0x6afa7575, 0xc08f8f77, 0xe69ec09e, 0xdc564705, 0x0af740e7, 0x0cc6a790, 0xf05e9923,
+    0x34cbf49d, 0x68d7f6f1, 0xc8988efa, 0x01a9ec37, 0xe8b7ff1f, 0x37e93b95, 0xadedeeab, 0x4e88d288,
+    0x0dcf4b40, 0xf8e3ce8e, 0xf03ca0c7, 0xf50cd9ef, 0x2917978b, 0xa876020e, 0x13e4271b, 0x3490cf80,
+    0x9f47a11f, 0xfb7acda6, 0xd08c7d38, 0x4d25bdfd, 0x4f371209, 0x3ecad239, 0x95601adf, 0x76cafecc,
+    0xce34e849, 0xfde56e71, 0x8b104fbe, 0x04a8857c, 0x8ac13752, 0x7e2bdb1c, 0xf0461870, 0x6c746ade,
+    0x8441208f, 0xd9a0c425, 0xd3f0c1ce, 0xb647c776, 0x9d982c75, 0x213b943b, 0xf68320a9, 0x3b577d88,
+    0xc399cbef, 0xca8033ac, 0xdde9a8af, 0x06318564, 0x2fc5b72b, 0x1c810e92, 0x10b37fea, 0x24617fa0,
+    0xc121aff4, 0x60653c4b, 0x4700df45, 0xf0f269ba, 0x03d2ba6a, 0x757a6c09, 0x992b62b6, 0xe4eb1e89,
+    0x54d583c0, 0xf74d382f, 0x3fd3805f, 0x0fc3b4a6, 0x1193b938, 0xd4505cb1, 0x013c0fba, 0xb77c5bb3,
+    0x6735f438, 0x1f94703f, 0xf3b04ea0, 0x675d1859, 0x215f5b94, 0xed707917, 0x50fce6a3, 0x957d01d7,
+    0xe6a34230, 0x465adad7, 0xe440c061, 0xc845a136, 0x46db67aa, 0xc521f86a, 0xa68c2bac, 0xb8cdcaf8,
+    0x3965627d, 0xfbc553e7, 0x8b6f598a, 0x0de18613, 0x6a7aeca9, 0x7684b0ea, 0x4b90e464, 0x508db881,
+    0x5d720abf, 0x952f3956, 0x77877a73, 0xd1141ab8, 0x0baeea79, 0xcb350309, 0xf4896188, 0xe93da946,
+    0x280255d0, 0xf4ec8475, 0x8208d613, 0x9ee6bbec, 0x88ddaaaf, 0x134ef116, 0xcd92955a, 0x2a49f1e8,
+    0xa958051b, 0x7d5ff6c8, 0xfe72f13b, 0xfc998745, 0xf79eea83, 0x4399ed0e, 0x6b3e5a4a, 0x1b4b0140,
+    0x017b0905, 0xdde4b6bc, 0x309dca6b, 0xa5e6b28b, 0x967a5ae3, 0x97084c67, 0x5cc315c3, 0xedc66d6a,
+    0xc08763cd, 0xc6e090d6, 0xf1b9aaf3, 0x4d622da9, 0xea1459e3, 0x770dea1e, 0x77db51fe, 0x4e8e095d,
+    0xad192d0b, 0x5b1a6c6f, 0x1c067f29, 0xc8f9b084, 0xdf714dcb, 0x7e1b7c16, 0x038c3316, 0x2a749994,
+    0x625ee74d, 0xd6d9b592, 0x038a6f0f, 0x76302701, 0x1e063559, 0x3e2078b0, 0x6a75cd1f, 0x80eb4c36,
+    0x25c2b865, 0x7a4476ac, 0x1561d378, 0x614fb4d8, 0x2ab2ab53, 0x190ad962, 0xc42b9532, 0xb092e54f,
+    0xdfd5b7bb, 0x0f513daa, 0xfe80217c, 0xe1ec3577, 0x9f475f15, 0xe11ad151, 0xaa69ab00, 0xcc358a75,
+    0x5cd7c2c2, 0x329c0892, 0x47f78413, 0xa5023f46, 0x8c49393e, 0xe81e36b7, 0x8a838ab4, 0x423090e3,
+    0x9919c2ce, 0xa0434f06, 0x1d7c8b98, 0x57943a06, 0x8b68e5c2, 0x8b20cfd6, 0x6bfb9f5c, 0x214d3c21,
+    0xe8a6b6c1, 0xb9eb46d6, 0x4725d738, 0x61677055, 0x43709419, 0x37ffe950, 0x698b2734, 0xb8c84ab8,
+    0x6f139f0c, 0xdc109fb4, 0x770ec314, 0xdfb00864, 0xb2a3be00, 0x54700d00, 0x49b744af, 0xc369ee97,
+    0xf7737d90, 0x4c911388, 0x162803cf, 0x3c6466bd, 0x561590c8, 0x971f5043, 0x8d2198bd, 0x57f56b14,
+    0x26a40b42, 0x7c662d18, 0x956fb0ec, 0xd56653f3, 0x055c1e5c, 0x081a74fe, 0x0f5bc4c9, 0xb2fb9fc0,
+    0xa5de588d, 0xaae64c08, 0x483fb5e7, 0x25e779bc, 0x0e06346a, 0x57237fc9, 0xf88461b4, 0x4eb5ed19,
+    0xc742addd, 0xf7fa4c32, 0xd102b00c, 0x269b0168, 0x666dae9a, 0x58dba2ac, 0xc801d92f, 0xe1f2b1b6,
+    0xacaa63fd, 0xfac2bd99, 0x39a7933b, 0x4a6a6f59, 0xc6c418db, 0x7f1f3b4b, 0x4a56344f, 0x0dc78f56,
+    0x167231d8, 0x48a198e3, 0xe08183d8, 0xb9b636fe, 0x1f825fe0, 0x2e85c741, 0x421fe7b8, 0x0f2ebff3,
+    0x2129ccf1, 0x8e2b952c, 0xec07aa2c, 0xf8e7ea9c, 0x99c1e19f, 0x7a68ddb6, 0x86989a78, 0xce04bcfb,
+    0x94fa1af7, 0xd0ddc232, 0xa2738ac4, 0x8aeda2cb, 0x175119ef, 0x244e6bc3, 0xcc4e82c8, 0x8db09b7c,
+    0x3aafc006, 0x794e4797, 0x4fb1fd8d, 0x0f540364, 0x3d2bd64d, 0x15e8c9ce, 0x06644c0a, 0x51cbf6cb,
+    0xb63446ff, 0x38e548a2, 0xb8545ef9, 0x09faf11f, 0xcc237e57, 0x6b81620f, 0xe8055aad, 0x003c440c,
+    0xb9fa9892, 0x1e50281c, 0x19b423b6, 0xff764ec6, 0xe71aec96, 0x4f0ea685, 0x1a46d018, 0x5145eef8,
+    0xebdaa14a, 0xd692ef45, 0x0e672c3a, 0x6c705df7, 0xd1e2315c, 0xecbaf1c5, 0x11279f96, 0xfcc98127,
+    0x5ef9e327, 0x4997324f, 0x9b74ba94, 0x13b13e0d, 0x85397a07, 0xee413b7a, 0x4b7db580, 0xe5ce57ed,
+    0x0014acfe, 0x8887c002, 0xb3dba7f9, 0x07453259, 0xfcc14f94, 0xb0771d2b, 0x10a4bb58, 0x24305f69,
+    0x867e8d08, 0x08164c29, 0xf0e1f827, 0x54a5e59a, 0x74f91fd2, 0x3553e721, 0xfc108f36, 0x223c3964,
+    0xf9e29cbc, 0xf9e43001, 0x3cd367bc, 0x7508be23, 0x3019cb75, 0xdb5a9680, 0xe21cf01f, 0x66067a00,
+    0xfb49bb71, 0x7686f8ec, 0x2db29aeb, 0xb2377346, 0x47dc3eea, 0x265dc716, 0x9c1dc58a, 0x56a37e0d,
+    0x0993ae41, 0x6775443b, 0xc8dbebd4, 0x9223f683, 0x7dd7ed1e, 0x34dda669, 0xfcd898df, 0x4b88f058,
+    0xfb8d103d, 0x77a0c2dd, 0x9e48c3f4, 0x3d334a0d, 0x376b6680, 0x8711eb79, 0xe4be2733, 0xed7e218b,
+    0x7ca1f658, 0xca495446, 0x629f2d74, 0xc6101e6c, 0x1c27c442, 0x9f062333, 0x81c8bbc1, 0xff9cea60,
+    0xe3822547, 0x6e3aa6c7, 0xf7c25086, 0x86d39e90, 0xaeda67bc, 0x67031bed, 0xb72eb461, 0x8ae0b550,
+    0x08137c06, 0xec4c6279, 0xf423a1e8, 0xd9416a8f, 0x8174bdc6, 0x36311411, 0x826a6474, 0x0b9b04a2,
+    0x5b00a715, 0xa887e45f, 0x77b9c536, 0xb5b2ec49, 0xa12d5f64, 0x638b4bc3, 0x265fecd9, 0xb67c7f47,
+    0x498307f4, 0x7886221b, 0x171e4283, 0xa78d6f58, 0x82902f0e, 0x4c6054d7, 0xf8072598, 0x5e414d07,
+    0xb0a50bde, 0x3d244f2a, 0xe9baeb63, 0x49efc537, 0xe47617a9, 0x49879d2c, 0xb0a7db1a, 0x162a8b88,
+    0x86fef312, 0x61af1023, 0xe151361e, 0xc404f4d0, 0xe2c809dd, 0x93283e81, 0xae2770a3, 0xe2395d3b,
+    0xd4a9c3ab, 0x43d2e6c8, 0xf2ad3e2e, 0x0ea3fe05, 0xcc92cc5b, 0xc26c328e, 0xaf95d1b2, 0x7d59a258,
+    0x626a0d9b, 0x6e3c8a82, 0xfd22e59e, 0xa5081e61, 0x8bf3f648, 0xd9b867ae, 0xab1f5c6c, 0x24692630,
+    0x07d15414, 0x1f4841cb, 0xa48a23c0, 0x0fab3ee8, 0x08b262a7, 0xd3d0ba5d, 0x01cf4bea, 0xae016897,
+    0xdf79e5ed, 0xe8af3dc0, 0x422d8b30, 0xcc629db8, 0x1b89d6e7, 0x505fa9b2, 0xf5d33682, 0x21f7dd6c,
+    0x2f16b029, 0x7f292e88, 0x1e49611e, 0x6723b17f, 0x8c83e6fa, 0xe01369bf, 0xfd92d835, 0xb5b40559,
+    0x109a3d50, 0x2a4fcd91, 0xf7ac25af, 0x43e35fbf, 0xf90412f8, 0x8b217903, 0x8719d64d, 0xb1d462f1,
+    0x9380b65a, 0x16ed0ffb, 0xdedf3826, 0x91e84da4, 0x3713dad4, 0xb3d98864, 0x5b0c40d0, 0x1357338a,
+    0xe0956666, 0xed792bb2, 0x1bc95ca7, 0x07136d82, 0x1d0ee10a, 0x61eb9043, 0xbb41c090, 0xb27ba19a,
+    0x541621fe, 0x950a42e6, 0xcf6de4f8, 0x69c6a9bf, 0xdc49bfb4, 0xff5526c6, 0xa6615f35, 0x338578a4,
+    0x089f1d65, 0x2f5cf73a, 0x23ddf7ed, 0xaa5e8f8b, 0x2f8906f1, 0xdb1c22e2, 0x2df6f91e, 0x83563dab,
+    0x680ddfdc, 0x171f6d00, 0x9bc0248a, 0x6bc83d0b, 0x8da1f9d9, 0x54b54bee, 0xd9cb83c7, 0xd03ebb89,
+    0x6da35728, 0xe05dddd6, 0xf2c1b096, 0xec7f6c59, 0xbff99f41, 0xf6ac3b6a, 0xf3d85896, 0xb603fcf2,
+    0x964a9632, 0x7506679b, 0xa5f0f08a, 0xa8e751b2, 0x0412703b, 0x5c200de2, 0x491af7bc, 0x72596535,
+    0x3704a601, 0x3c27a626, 0x01368bdb, 0x34389ba4, 0xed4e8c61, 0x8a4c6167, 0x162183d7, 0x18886c60,
+    0x21758d25, 0x860b12b9, 0xa335d156, 0x8acadf25, 0x3abfedd0, 0x94acad8c, 0x889fa12c, 0xeddbf0ba,
+    0xc06597b4, 0x2f3c602e, 0xeb625c17, 0x604dad63, 0xbda9d011, 0xb576f33d, 0x430c0744, 0x4b93eedd,
+    0xcfb67b68, 0x697a8e6d, 0xcd04bb6a, 0xcaedf6a9, 0x359c6687, 0x66587bdf, 0xb5869bf8, 0xbc54eb69,
+    0x00000000,
+    0xb0f6865b, 0xffffe56c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000008796093022208 */
+  { 0x00000000,
+    0xd0f5e27b, 0xce28e47c, 0xcab8aa34, 0x9c2d0004, 0xe446575b, 0x591fb6c4, 0xe3cff8c2, 0x55b111af,
+    0x9d4d2284, 0x6759cc57, 0x11485287, 0xcdf77d12, 0xf48bdc82, 0xc8188dda, 0xb0e3d95f, 0xd4ee63eb,
+    0x2fdc094d, 0x6eb425e2, 0x3df83b58, 0x98fd600f, 0xb993fed0, 0xf9939fb9, 0x52a17331, 0x1a54c048,
+    0x676315d9, 0x479fab36, 0xa53ad91f, 0x687b9d04, 0xd55f2332, 0x3980ab50, 0x506525ec, 0x73e78422,
+    0x5da5256a, 0xf958f8c4, 0xac2902c2, 0x175305f9, 0x69616447, 0x479a2bde, 0x86920b60, 0xd66057c4,
+    0xfb6d1942, 0x07f0bc4e, 0x5db50858, 0xb4be6492, 0x375842c6, 0xe6df1c3f, 0x23f87592, 0x61d6b2d3,
+    0x1dfd1f4c, 0x7ba2a26d, 0x4cf4cbe7, 0xedfa7d98, 0xb17c981a, 0x66913ca0, 0xf6d3e49a, 0x389ed486,
+    0x1dc6afac, 0xe1e25235, 0xd5808de8, 0x354f56ae, 0x38e31eec, 0x52c0d8f4, 0x77e232fa, 0xbaeab3a2,
+    0x8f2a382d, 0x5ec69a53, 0x468f4334, 0xf0e13634, 0xeb79f07c, 0x0f838b74, 0xc8f19512, 0x5be8f4ec,
+    0xb0d6a719, 0xde14520d, 0xf5067707, 0x715c7a9d, 0x256590ca, 0x379b9114, 0xb058109c, 0xb60a0525,
+    0x956b3858, 0xe35c47eb, 0x371d8baa, 0xce9bc8e2, 0x7e410c57, 0x89158ca5, 0xc3efd995, 0x4a54f79b,
+    0x731e2368, 0x44cf659a, 0x01589f79, 0xa2520e62, 0xf041069c, 0x9b142e54, 0xeb48fbe4, 0x089885ca,
+    0x93cadba5, 0x2f851097, 0xffd72292, 0x429f498d, 0x04a2f832, 0x4cef6e5f, 0x65fc676b, 0x3f04b425,
+    0xf09e40ae, 0x97a213d1, 0x7eb0e616, 0xd7917342, 0x927faadd, 0x78d8b426, 0xc8ce20e5, 0x260d78ba,
+    0x81b31e95, 0x8dd43f31, 0xdda883e2, 0xae3b9ab1, 0xb9b5b1f5, 0x4faaa2cd, 0x34fedb4e, 0xa382d226,
+    0x9f027977, 0xac6efe68, 0x96e418c9, 0xd646a564, 0xfa7333e1, 0xd6e35ba9, 0xdf393948, 0xce790aa8,
+    0x1c521c08, 0x90db7613, 0xfc4fd4ec, 0x8d0e8743, 0xdc021f2d, 0xac67f1e5, 0xe3f24d8f, 0x44a23dfb,
+    0x3510cc64, 0x92b9d4ee, 0x0b4f2035, 0xff4e5176, 0xccf4d745, 0xf0576901, 0xf3e69129, 0xffe79209,
+    0x8d51a605, 0x107eb93d, 0x6a96fc7a, 0x50bc2960, 0xcabad9a0, 0x074144de, 0x32727c04, 0xb4cd4ee5,
+    0xa6ce7023, 0x2547c99a, 0x1efeaa30, 0x2803030d, 0xb32f87d4, 0x0b9fe1dd, 0xe0be5e7f, 0x03365241,
+    0x532e3195, 0x4e412e69, 0x2e4ab9f3, 0x8d305781, 0x1f1808e1, 0x0634e51b, 0x26dadf86, 0xef48af01,
+    0x9c7bf5ef, 0x5ee38984, 0xaa36c7c6, 0x0f2ccbbb, 0x4169041f, 0x1876daee, 0x84a2fd41, 0xe307a369,
+    0xc0523548, 0x4fbb1a61, 0x10ebfaf7, 0x917c9baf, 0x189cc009, 0xd5efa8c2, 0x98f90cc3, 0x8fcdfdf7,
+    0x7c5d9dfa, 0xfa9c9c33, 0x0deaf8cd, 0x9662d7ae, 0x88c7af79, 0x0ad9c3a3, 0x92aba8f1, 0xb94f5ea6,
+    0x3072d9d8, 0x5133ea40, 0x42e95c8f, 0x29e55e3e, 0x758e6ce6, 0xa56fc425, 0x08468850, 0xba3b6158,
+    0x42f6e0a3, 0xcf65a18f, 0x35c85078, 0xc52ad5cc, 0x5e9c85c5, 0x666c8899, 0x5796e271, 0xf43718aa,
+    0xfcf6fd03, 0x4f251163, 0x48f51bdb, 0x0c827965, 0x5b97ea91, 0x423c2f1e, 0x7b4adf3c, 0xc8470294,
+    0x72d77d5c, 0xc6bc7bba, 0x5c8dc918, 0x3bddcc5b, 0x28b83bfb, 0xa41f811b, 0x30d2afae, 0xf7fb1e24,
+    0x2a45eb77, 0xaab7eff0, 0xfc098e56, 0x0ac472bd, 0xd3e469b0, 0x1994a562, 0x61ccc1eb, 0xcd6e6a11,
+    0x1a094155, 0xbd4fd406, 0x6f4285a5, 0xfd71dea1, 0x3d427824, 0x10ce5ec9, 0x75a63607, 0xd1a85941,
+    0x4bc6c142, 0xa590297d, 0xa61aedcc, 0x22655b44, 0x621721e3, 0xbfe34818, 0x0c49c104, 0xd9bda30d,
+    0x162d3f09, 0xca6d1d20, 0x082e1576, 0xa892f0cc, 0xc8d0bd24, 0xffd9a1a4, 0xda27978c, 0xf7619dd7,
+    0x148729ca, 0xb3d33c0d, 0xb8c4390d, 0x3518cc80, 0x22ce76b2, 0x69f8c1b9, 0x3a6d41a3, 0xd832539a,
+    0x47975d3f, 0x95b44cc6, 0x547c89ca, 0xa061f5d2, 0x4ba66f9d, 0x890c45df, 0x40d2443f, 0x1c72a300,
+    0x76305519, 0x53a7ed9b, 0x6e620dc8, 0xc504ec27, 0xe7fb69cb, 0x0a96c6c1, 0x381c0d08, 0xfbdbf457,
+    0xa43303f5, 0xd5498912, 0x01b73572, 0x6524184c, 0x2261c702, 0x2de96daf, 0x7cc11e12, 0x8289429d,
+    0x9371e155, 0x09b12705, 0xd090e2d8, 0xda6bf098, 0xcec3afa2, 0x57b64cc8, 0x24a8eeef, 0xa7d96aff,
+    0x20772925, 0xc23c2805, 0xcec16eef, 0x9b5ac08f, 0xab91fc05, 0x5aa321cf, 0x2406ca4e, 0x4727bde8,
+    0x59a9b7d2, 0x983f18bd, 0xd4d50c18, 0x723c6f5e, 0xc9c28545, 0xd0990936, 0x3d361651, 0xb25533f8,
+    0x9a60a175, 0xb20e8991, 0x80b21930, 0xdea2242a, 0x4cadf537, 0x4d06f97b, 0x5b925963, 0x0bf7c13b,
+    0xb568e2be, 0xa12ea12f, 0xdb7a6292, 0xb86f4d60, 0x68f320f7, 0x007ccc86, 0xf1c44ef2, 0xa5d784ae,
+    0x5cf253e0, 0x8bd0f2de, 0x31be3252, 0x6079ab6e, 0xa23dae30, 0x3d3f023c, 0x2c67fc1e, 0xd08484c1,
+    0xb4893e41, 0xce9cdbc7, 0xd94e6050, 0x81b14375, 0x63578a15, 0x556d0ea1, 0x812edfd7, 0x284f63dd,
+    0x2af31552, 0x0126ad45, 0x7d6fe49c, 0x6f854de3, 0xed81a93a, 0xd0d4eaf0, 0x88f5df26, 0x5634f710,
+    0xa26edd97, 0xd6bf717d, 0xf4a5fcf8, 0x299b76ae, 0xa5489957, 0xf2f8cae9, 0x440de10c, 0xc4885b7e,
+    0x88e04445, 0xf69d4da1, 0xaa1125c8, 0x3c90da65, 0x8e78de89, 0xeffca480, 0x9e866b35, 0x0ed7af17,
+    0xb3429021, 0x0e3b8910, 0xf48ed1b1, 0x54365ff2, 0x3cf2a10d, 0x07918ef7, 0x1d56425d, 0xecb03667,
+    0x3053f7c1, 0xc82018bf, 0x4475b71a, 0x7c9be5d1, 0x5cd34976, 0xfacfd554, 0xcdeaaddf, 0x37943553,
+    0x837349f6, 0xfc8780a5, 0x86997545, 0xed97d270, 0xa998c24e, 0x2db4e5e7, 0xd1897936, 0xce96ee9a,
+    0xf4d15cf3, 0x00d986bc, 0x81a3369c, 0x217ac73c, 0x23d7e95c, 0xac76f7e3, 0x6015d68b, 0x4bde387d,
+    0x0be40bc8, 0x35955522, 0x575fd958, 0x5109a3eb, 0x38386a24, 0x49e027b7, 0x55252cc2, 0xe6cf81f4,
+    0x7fdb383a, 0xdb36897d, 0xd3a8093f, 0x7da3a0f1, 0x733d6542, 0x33e69179, 0x332bf0d2, 0xd061762e,
+    0x2e938e33, 0xf0155c9d, 0xfc997607, 0xb7524ece, 0xfd7e7111, 0xea1c3c9c, 0x504b7c24, 0xed62f005,
+    0x5348e6b3, 0x71e22e06, 0x1c6899b6, 0x3c5e4ab8, 0x50bb3a2a, 0xd1796ba7, 0xb0b34df7, 0x4b6644c7,
+    0x2e8ea33d, 0x852a8fb2, 0xc06db38b, 0x61fb3810, 0x9ff29365, 0xe684aade, 0x2f82ae2b, 0x57515290,
+    0xdeeda475, 0xa60d424f, 0x4f9ac205, 0xffda52ee, 0xc9d43244, 0xc45077ed, 0xab65d150, 0x60b8bd76,
+    0x250469c9, 0xd241847c, 0xc58b34bd, 0xbae5a8f8, 0x65cb30b1, 0x67f583a2, 0xcbbbedd6, 0x05e29350,
+    0xe96dc1d6, 0x37d58276, 0x35167ef6, 0x27b46ebf, 0xc96b6f4f, 0x44ea2ac5, 0xd306c166, 0x5b1fb34d,
+    0x85914191, 0x527527f0, 0x3eec12dd, 0x9dfb1300, 0x8811a65d, 0xfdfa7d09, 0x9b779ed6, 0xb66b2d50,
+    0x80a1c354, 0xcd7379c7, 0x3a8484af, 0x0f75d755, 0x6ec0c70b, 0x053013ea, 0xc582e8be, 0xcb20c607,
+    0x0f67b639, 0xe6791fd6, 0x881f89a5, 0x92f60cc8, 0x2ea8e665, 0x0745ef3a, 0x09e3cef8, 0xb09a9ae7,
+    0x8520a70d, 0x67173910, 0x5e286c94, 0x92ca9a4c, 0xfde681c0, 0x10c952a1, 0xdd678339, 0x445556d8,
+    0xd2e7c0a0, 0xe574ee2b, 0x942e6964, 0x9390aaa2, 0xab728b43, 0x2a4fc9d0, 0x29dad372, 0xd1670d8a,
+    0x7f6d31a6, 0x40399748, 0x14612ea9, 0x320082ca, 0xa9fb450d, 0x71acbf16, 0xaef853af, 0x0ebd1475,
+    0x2a1f30f0, 0xd3a5af46, 0x971723b2, 0xa57a4c2f, 0x69bf4237, 0xa24783b9, 0x51ece5a1, 0x8ab1a85a,
+    0x0db09961, 0x1b22fdaa, 0xba5f86bf, 0x8f5d3646, 0x6ac8b6d1, 0xbeef3305, 0xa0e74f05, 0xe3e2547e,
+    0xdc31c8b0, 0xf71004c2, 0x9c3f3599, 0xb5602878, 0x7ab8ad1b, 0x89f29faa, 0xc9c5001b, 0xba31ad90,
+    0xae7a9f09, 0x8b63cdc2, 0x98dce993, 0xb1aad7aa, 0x47185113, 0x7e2a6d22, 0xac1ecb0e, 0xd226420f,
+    0x45c1d2c3, 0x28fb6035, 0x83183503, 0x8c47e14d, 0xc5ba1044, 0xf74afea5, 0xdeb0f958, 0x26fdf50d,
+    0x111825f4, 0x63f45616, 0x0297432f, 0x05d91377, 0xff12dbec, 0x43204298, 0x6505864b, 0x7cf83605,
+    0x5c4937d3, 0xe52c9359, 0x7339d8d3, 0xc39505f8, 0x8132f29b, 0x33da84d3, 0xc28a9276, 0x9cd95f86,
+    0x120361e4, 0xfe1a2240, 0xc884a516, 0x74f4bbe4, 0xb6a2d938, 0x994e213f, 0xecee8451, 0x82f89ce9,
+    0xdcbbbb20, 0x7b01c6f0, 0x722ce26d, 0xde2b8c84, 0x8d41afb7, 0x90cbfab1, 0x9f15bc48, 0xff74fe34,
+    0x429008fe, 0x3ccb97b2, 0xc61c961e, 0x90adde90, 0x5766bb31, 0x860081bc, 0x77dd9e5a, 0x4f555a33,
+    0x508db1a0, 0xd374cc9b, 0xd23e36ab, 0xf31e5c97, 0x3bf41c88, 0x5111f9f6, 0xdb58beb0, 0x8c411e43,
+    0x8a6a75c2, 0xb98a4ea0, 0xc31d33a7, 0xec893680, 0x4fb9e436, 0x1f1a7722, 0x964afd62, 0xf3ff2c87,
+    0x9a1a8007, 0xb55d7a9f, 0x85c10d6c, 0xfae2039e, 0xab7e4e21, 0xc31cca74, 0x35fb7666, 0xa52ae9c6,
+    0x09f6956b, 0xe84f135a, 0xa8485d14, 0x5e58be82, 0xea268832, 0x000030bf, 0xf931590a, 0xb79c4e6c,
+    0x9714fa41, 0x90b679f3, 0xda873e6a, 0x7fc0f757, 0x9c5a7a07, 0x77a59e6e, 0xa76427a9, 0xf552c6a2,
+    0x070ca1c2, 0xeb88d2fb, 0x47ebff38, 0x64fa8ca6, 0xe6ed13c7, 0x62466fff, 0x504e7d78, 0xbfe5b945,
+    0xabc592ae, 0x229c3792, 0xdf2e63be, 0x2b273f44, 0xb121ea24, 0x31930c77, 0x16f21aa9, 0x33994261,
+    0xafac0e71, 0xd2b4b7b5, 0x7ade59c7, 0xa42ee8a5, 0x035ab1ab, 0xe2923dc2, 0xb65079d8, 0x4438394c,
+    0xf9f7815a, 0x5cbc9677, 0x3ee75ee4, 0xf0437501, 0x4a084f6c, 0x3d1dc991, 0x6ad3ab60, 0x2f93b271,
+    0xb3b57e61, 0x459a1b77, 0x2a4c3aab, 0x0154828a, 0xa157b09a, 0xe9898f0f, 0xaac686c2, 0xd68cefd3,
+    0xd5f80d53, 0x438b5c07, 0xfcdf0662, 0xc8bcf59a, 0x262eba0f, 0x35a65c5f, 0x3c791301, 0x7bb728db,
+    0x532e1ebc, 0xf04a9fc1, 0xdb3a182a, 0x5966d578, 0x44fc3bfd, 0x51544daa, 0x73353734, 0xa865058d,
+    0xb32caf9f, 0x2194a524, 0x236562da, 0x4d2cfd73, 0xa3de1ae9, 0x625f2de9, 0x82b7a8b2, 0xadf254e1,
+    0xb91db423, 0x56ceed01, 0x51c0e658, 0xffbde26f, 0xe49022f5, 0x93587bb7, 0x6dd69d5e, 0x237a0579,
+    0x96d6a271, 0x1aa8e2d1, 0xf5e63f30, 0x73a65682, 0xf23ae3e9, 0x54dbdd63, 0xbe2cd69e, 0x7eb924fb,
+    0x1ba040ea, 0x4cdc9667, 0xcb8c7429, 0x7f81b279, 0x22cbf552, 0x1c6a5658, 0xdb7de7ce, 0xdb0dbba2,
+    0xbc871bca, 0x410af59b, 0x99b969cb, 0x6334c14f, 0x6f3fe320, 0x998e314d, 0xb892ddc5, 0xf40c6188,
+    0x90bb9e7c, 0xe806ae41, 0xc813359a, 0x45574eb8, 0x9fe07317, 0xa152e718, 0x12d9232b, 0x2c7d23c3,
+    0x7cebbb09, 0x397bcb1a, 0x9bd10617, 0x0fa26022, 0x26a92699, 0xefec5b10, 0x87b9b97c, 0x57ef7dbb,
+    0x993dfe6e, 0x34ee4037, 0x5b414929, 0x13c22b2e, 0x5eecc846, 0x257bfe74, 0x13e9f506, 0xfbec72dd,
+    0x114e857f, 0x4afdc5a4, 0xdaf67cfc, 0xceabd164, 0xd9e43434, 0xcbe9cf11, 0xb94812f7, 0x6a1ad52f,
+    0x7e10fd92, 0xc3c78316, 0x41137539, 0x12764cec, 0x9f64175e, 0x266ab91f, 0x71fa42ac, 0x710b5e39,
+    0x216cbacd, 0x8b22ca59, 0x4b97140f, 0xaae62fa4, 0x451c7033, 0xd9af85f8, 0xac170327, 0x987b485b,
+    0xc29a7fd4, 0x16391ddd, 0xf64fa99e, 0x2ad5d62a, 0xe969b6ac, 0x57caa704, 0x063718f2, 0x87823cfa,
+    0x8abd4d58, 0xd0c96ac4, 0xae63d77c, 0xa9c0c15a, 0x25b89ac6, 0x0fbd342f, 0x065dbd32, 0x7659acd3,
+    0xaca02b79, 0x1479398d, 0x2efe7e6c, 0x86577041, 0x194bc001, 0xa83a04a8, 0x1cc069d6, 0x3e699d96,
+    0x16150019, 0x0335a654, 0x8ad7349a, 0xf8af8676, 0x4331f344, 0x29102f10, 0xf98392a4, 0xded9537d,
+    0x085a3e1e, 0x5ff6b6f7, 0x71a6b936, 0xcb3fdc33, 0xf338208d, 0x8510543e, 0xa86690f0, 0x8c3d02a8,
+    0xe6f25b37, 0x29212df6, 0x13cda321, 0xa96c683a, 0xe2f6fcd1, 0x4f5dbd55, 0x4920bd10, 0x8de88c25,
+    0x80e5df7f, 0x87e97b08, 0xbe2ffdb4, 0x42fcf950, 0x8ba6f110, 0x0e606ba8, 0x2603f242, 0xaddf848b,
+    0xc274aa9b, 0x938cdf4f, 0xbb1d92b5, 0x05e06946, 0x718d3735, 0xf6e9ac05, 0xbaef44f4, 0xa914852c,
+    0x0866aa89, 0x3435607c, 0x8b066156, 0x167a77a9, 0xccfa42cd, 0x18bd87d0, 0x269f15ee, 0xd2f54098,
+    0xec8640d9, 0x8848d45e, 0x3f0b71a9, 0x7085e6fa, 0xd2e83f0b, 0x38975710, 0xfa6b818a, 0x509d7814,
+    0x0c987492, 0xc767bbca, 0xe1719436, 0x175af5c0, 0xf49b1ddf, 0xd803239a, 0x607bb030, 0xb072009b,
+    0x757f6fa8, 0xd72c6e42, 0xada23673, 0x440f9c19, 0xdba91d9d, 0x598c3abe, 0x67aea72e, 0x2b6ec467,
+    0xb6f17053, 0xb0a0d39a, 0xbbd93cb5, 0x4088a8a6, 0x5d62f50e, 0x2e0ff446, 0xbc61d08e, 0xe224622f,
+    0xe518b909, 0x76b723d2, 0xff513cd3, 0x3e15d1b4, 0xcf1173e2, 0xddb08ed1, 0xad8a2663, 0xaae96dd2,
+    0x6ade0548, 0xf714224c, 0x41f70d08, 0xf978a303, 0xcf87bebd, 0xcf9c5237, 0x657bbd14, 0x6ee37111,
+    0x65a2431c, 0xa9451aa5, 0x18a64fd9, 0x5dee0f7e, 0x1ec1c70c, 0x3c451dab, 0xc700336a, 0x27e54db1,
+    0x3b6c9930, 0x328c45f4, 0xbc18bf4a, 0xa6430a69, 0x818fec02, 0x267bc00a, 0x0c3c18c8, 0xad152685,
+    0x4e8652dd, 0xee4e61b5, 0x2ea7ecd7, 0xeacc89d3, 0x9c805894, 0x7d4bc0d9, 0x70cb2fab, 0xdb1aac49,
+    0xed41959b, 0xd309a558, 0x16aaa4a0, 0xd7d3cbf4, 0x5096642d, 0xa67ad0ed, 0xb6d0d9fa, 0xd1027b0b,
+    0xae2327c8, 0x31703416, 0x31660192, 0x351baaa9, 0x06982982, 0x36d2f7dd, 0xc33bf2de, 0xcb169534,
+    0xd24fbfb3, 0xca6aa530, 0x54ac9897, 0xd2e02ec8, 0x022b0156, 0xe1a784bd, 0xb32d6418, 0x0354913b,
+    0x4ad18013, 0x135d11d8, 0x78046bfd, 0x078f446e, 0xf93d6c99, 0x2f76b6c9, 0xa18f722b, 0xfe224290,
+    0x2549cccc, 0xc9322930, 0x1bc7caba, 0xcb63a962, 0xbe8cb78f, 0x56022aa9, 0x1dbf52da, 0x6de5721f,
+    0x95f26eec, 0xc3f36fca, 0xe31a01b4, 0x8b84ac13, 0x0328f331, 0x71d77127, 0x589cc75c, 0xd57e116c,
+    0x232424c8, 0xf81e2066, 0x8e4a39f0, 0x9ea14eda, 0x3960f9a4, 0xc228bc4b, 0xad5c0fc8, 0xcfc8a485,
+    0x4e8876ae, 0xc9940ea4, 0xc9a3e05e, 0xccb2eae4, 0x434050ec, 0x56e78e59, 0x2c694633, 0x48e775f8,
+    0x42ed93c6, 0xdc419ec3, 0xe1bfbbc3, 0xf6b16088, 0x53413816, 0xbbf55aa9, 0x25c9e6e8, 0xcf79002b,
+    0x36fdd026, 0x9b3bb8fa, 0x87cf5b0c, 0x45da1acd, 0xc38abec1, 0xddfe369e, 0x5c35259a, 0xf4749139,
+    0x0409154e, 0x59282af2, 0xb5091026, 0x62c44c2d, 0xfec4d1e2, 0xa0bb7104, 0x6c45ea2f, 0x9b43368d,
+    0x00000000,
+    0x587b432d, 0xfffff2b6, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000004398046511104 */
+  { 0x00000000,
+    0x0dca7fbc, 0x79c9209c, 0x75ae32f3, 0x3ec49856, 0xc1b9e6d7, 0xa08264d2, 0x7f8b9d0a, 0xcb05f074,
+    0xe8e83ee8, 0x5c05224d, 0xda28d53d, 0x2bdee54b, 0x6b7dd868, 0xeb58ce93, 0x8fed5584, 0x83dd219c,
+    0x9d485206, 0xb63a2c03, 0xa1504d79, 0xd46651ef, 0x6121e9a3, 0x7f74e785, 0x479ce931, 0xa5eb1cb5,
+    0x759af12e, 0xa5d89e9b, 0x8a03a272, 0x25df29e9, 0xb62e113a, 0x025b71d5, 0xf637cb12, 0x6f253d4c,
+    0x1a08ff60, 0x167db2f9, 0xe1739500, 0x9ab41fd4, 0xfa164dad, 0x81b7374a, 0x7cb9f0f7, 0x6227cb74,
+    0x4f1f3174, 0x2b6d7d8a, 0x87486d6f, 0x1893a424, 0xf4b5434a, 0xf3abcbd2, 0xc416a022, 0x42cf7ac9,
+    0x5b52c6d1, 0xcf915fab, 0xc1fe928f, 0x23c3aa56, 0xdda796fa, 0x265a5eea, 0x4a981ac2, 0xfe87c61c,
+    0x9fce1136, 0x4e38a5de, 0x8b6758a5, 0x342fac4e, 0x4299def9, 0x2f823a91, 0xfeef14a4, 0x23388124,
+    0xe08d569f, 0x223080fc, 0x3f34ffe2, 0x190c3ce5, 0x5ba4c78f, 0x6e19b9ee, 0x301e5651, 0xc4e26664,
+    0x3781e388, 0x9fe9220f, 0x8c06f147, 0x09d552a2, 0xdcb48978, 0x0d0ee045, 0xb00ad159, 0x0da1795f,
+    0x0589d36b, 0x2263e85f, 0x0b840f7f, 0xdf611273, 0x043e46af, 0x4a3c97ce, 0x33759651, 0x2857b1f3,
+    0x1deb2042, 0x0bd2ab73, 0xcadae87f, 0x7382c086, 0x2acba4a8, 0x932be04e, 0xbee6b756, 0x34d5deaf,
+    0xf1141698, 0x9fec6eef, 0x189257b9, 0x63da55bf, 0x2f9ee707, 0xf3b3521e, 0x248400b3, 0xb1f3db5d,
+    0xfe426b36, 0x71a074e0, 0x78bc4be0, 0x0c30fd58, 0x18f9c4ad, 0x262cc03a, 0xdb63a30c, 0x99277a41,
+    0x2e6e9682, 0xf8d1a033, 0x7de1ca53, 0x4f27eb5f, 0x1b314f2d, 0x0eb607d0, 0xceec81ba, 0xd60a25e1,
+    0x70f87803, 0x34f65672, 0xd7bba1bc, 0xb02fccf3, 0xa40ab141, 0xdaa016aa, 0x534f0069, 0x3e1d2181,
+    0x8d8a1915, 0x540b27f4, 0x8a58f033, 0x3feacbf2, 0x8549d886, 0x41cbcaea, 0x3cc84a05, 0x14467239,
+    0x880a0a35, 0x81f247b0, 0x8a608513, 0x0b62a937, 0xa9b4fcaf, 0x2c1e9485, 0xbe53de95, 0x35803ced,
+    0x2ee9bd91, 0x2fcf78c7, 0xfe03e04a, 0xd6d8ed10, 0x61b3251a, 0x1351633c, 0xd1ebc32d, 0xeaa4e283,
+    0x4592cad3, 0x84e698eb, 0x664e4ef0, 0x42c7f962, 0x8d917474, 0xbc708b82, 0x1880001a, 0x1e8e636a,
+    0x034e8130, 0xb257a46d, 0xefa9fd48, 0xf7425544, 0x31bd67e8, 0x498c786c, 0xdb891bba, 0x1e6605b8,
+    0x43abf933, 0xf68c47a4, 0x6472eb58, 0xc41007e7, 0x01adc89f, 0xfb210f6a, 0x0de15771, 0x29b7068f,
+    0xf704b023, 0x6ba9c78a, 0xd690d32b, 0xd58450d9, 0xe2acd4e6, 0x60d44500, 0x3d34a4eb, 0x844e6368,
+    0x00c19f6d, 0xf471dceb, 0xd8effe31, 0x63c6a7ba, 0x09908a67, 0x9008d342, 0x1de814d0, 0x805d6508,
+    0x6dbb4733, 0x7a6d85f9, 0x6ac30a4f, 0x8f883627, 0x22a81a88, 0x8b195a67, 0x99ab3800, 0x2e874827,
+    0xfc0954f2, 0xcca350d0, 0x1b419a0a, 0xe0fe08da, 0x024edb01, 0xcbd2f308, 0x0af939d0, 0xefe69b48,
+    0x3745d459, 0x0e2fb385, 0x3fe4aa37, 0xa3dc2e75, 0x9ff3929b, 0x656a6def, 0xba21a551, 0x0077e85f,
+    0xd41cdc33, 0xc63f37a7, 0x6c50ee1a, 0xc479532c, 0x913afa77, 0x5a88691e, 0x81ba9bfc, 0x3d94ebb7,
+    0x8e67b7d5, 0xef4b2b39, 0x3a024a73, 0x075f2abb, 0xd1343550, 0x6fe7728d, 0x9fc1513e, 0xe05dd863,
+    0x462d09c4, 0x6d26517d, 0xe1477250, 0x4b09a69f, 0x97223aa8, 0x3f5c6791, 0xffa11460, 0x827d05f8,
+    0x4edc1587, 0x3598efa0, 0x4b66bf3f, 0xb96688cf, 0x68d6d19e, 0x8fe7ac8f, 0x95c80224, 0xc36dcad7,
+    0xc58f1446, 0xba12126d, 0x7b0d98e9, 0xd171c103, 0xe13d45b9, 0xcf81efd5, 0x107bb099, 0x0f3bf470,
+    0x03a9a0c3, 0x28c84135, 0xe006bf62, 0xa553d7fe, 0xe24ce822, 0x87fb2f13, 0x6e13e8af, 0x85464b9c,
+    0xbf9475ab, 0xbe9c85dd, 0x39263270, 0x372f2230, 0x5ee7051d, 0xb7109876, 0xbc79e089, 0x19815030,
+    0x71da2787, 0x92aba2d1, 0x040bad87, 0xa1e91fb4, 0x5f11b5c7, 0x719d0cef, 0x4fb86c7a, 0x70e21910,
+    0x0f35dc18, 0x3480f8cb, 0xd0868b34, 0x66fcb39c, 0xcb3d7f08, 0x8236056e, 0xa2427cac, 0xc78de1f5,
+    0x21c30639, 0x57b1b3c9, 0x6d9fda07, 0x363e5037, 0x3c5b9902, 0x0b198b15, 0x726b707f, 0x601f4372,
+    0x8b875f8b, 0xb0a8fc40, 0x6a9e54f6, 0xe16e8596, 0x553d87de, 0x5f17b344, 0x8d526da1, 0x45833434,
+    0xb788d763, 0x56318e8f, 0x29dc074c, 0x8d990837, 0x96abab01, 0x6020bfda, 0xbbbe70e2, 0xa44a67dd,
+    0x6529b24b, 0xd592c54b, 0xfa09641f, 0xc2d7d8c7, 0xc63b2ace, 0xf78ce71a, 0xd7492962, 0x7e31650f,
+    0x9d6f0c60, 0xc2ada36e, 0x06118ded, 0x5cb4d745, 0x40947390, 0x7c0a349e, 0x39c3a726, 0x57799460,
+    0x08b2c581, 0x8821d299, 0xc05cfd9e, 0xc895e9a5, 0xba289deb, 0xcad178af, 0x5a63e273, 0x10920038,
+    0x328c6424, 0xe3d5a080, 0x8ec379ef, 0x3577f9ca, 0x625a7023, 0x166402a4, 0x02591ffb, 0xc0b55efe,
+    0xe17d443f, 0x5cb3aea1, 0xddadb233, 0x5a1fea21, 0xb7d0b931, 0xfb23b6a6, 0x992b341e, 0x6015c1c3,
+    0x0821db2a, 0x03d829a6, 0x669dc997, 0xf3dad503, 0x70ce5fe0, 0x565eb6a3, 0x622bac7f, 0x1bbd781f,
+    0xe9074edf, 0x7068f60f, 0xc1796ea6, 0x88a8ef7e, 0x77a28910, 0xeb306b6e, 0x0546cd59, 0x2b37e493,
+    0x111d00f1, 0xbc24eb9a, 0xe9417c20, 0x0af88dcf, 0x0f8b67f6, 0xbeeca4be, 0xbb915d8b, 0x978c0fe7,
+    0x8377b4bd, 0x9a6f44b0, 0x285e75e5, 0x86ccca5e, 0x3d9a3ef7, 0x5527137b, 0x87980668, 0xdaf4e694,
+    0xef4457ca, 0xaa884460, 0xc24940d3, 0x402aa523, 0x02727530, 0xd0061d9c, 0xde45d05f, 0x5650def1,
+    0x68827fa9, 0xe9f8f8c5, 0x990a405f, 0x7fbb87fb, 0xc6c5798f, 0xdd2b7394, 0x3c35522f, 0xa4914997,
+    0x3d532a61, 0xee68f0ff, 0x0beea4c7, 0x7405bf4a, 0xb21c1ad5, 0x44821df4, 0xe15e2c0d, 0x94d657e5,
+    0x7233a540, 0x82a32f99, 0x82bbe86e, 0x9df3fc09, 0x185dd190, 0x5ef113bf, 0x25927f3b, 0x9d46bbca,
+    0x0614ed72, 0x4c079527, 0xcddcf186, 0x67aa407f, 0xa7a176b1, 0x71b50e71, 0x19b81810, 0x0b127e4c,
+    0x1b378eb7, 0xaf895449, 0x21c66504, 0x05607ead, 0x297d1b87, 0xa8350912, 0xe22b8468, 0x0a6254d6,
+    0x4c3135c2, 0x62cfa97f, 0xb83d66e1, 0x458b578a, 0x3c2d6712, 0x47446e68, 0x90efaf24, 0xd1543714,
+    0x8a0c554e, 0xa75b64ec, 0xacc34f5b, 0x609df534, 0x44997c27, 0x2be0f627, 0xf2fb6401, 0xccff3e8c,
+    0x303887b7, 0xdde89c75, 0x8cd76571, 0xecbb1429, 0xcfce20e8, 0x9d4e1cd5, 0x6fc8333c, 0xd458df71,
+    0xe3761f48, 0xc1d493be, 0xf31658c3, 0xb8adb750, 0x5fb0644a, 0x2d8207b1, 0x3f7aed48, 0x13ebb7ba,
+    0x5ddd8162, 0x881ea7c6, 0xc4661277, 0x3369daee, 0x300f034a, 0x0412e7a7, 0xca92cea0, 0x554317c4,
+    0x9d973f4d, 0xf2fa1b2f, 0xbcf1c62d, 0x90fdb946, 0x29527184, 0x41eed538, 0x13cee2c6, 0xa2f2916f,
+    0xbf687a84, 0xfa4cddae, 0x255c3029, 0x48591b75, 0x7fbefa8c, 0x96c78bc2, 0x751f8117, 0x529e233a,
+    0x41d1b678, 0x02b4c85f, 0x9e3eefd8, 0x7e9074ea, 0x9606d105, 0xfc380c17, 0x6ef17061, 0xc6e54c11,
+    0xc6502dec, 0x2b517ee3, 0x5241d574, 0x0d431ff6, 0x85c3f4b8, 0xf27272bc, 0x693bfc8c, 0xead6c4ca,
+    0xbf3d5c2c, 0x1e550905, 0x1a8ed646, 0x56897186, 0xb9a1a915, 0x0410753e, 0x767b3af5, 0x8328b079,
+    0xa5dfe06e, 0x1c2f2c48, 0x5c0a80a8, 0x1a8068e0, 0x06bda0d2, 0xfc0038ba, 0x9f210b69, 0x3d6c8c08,
+    0xd351b436, 0xb5dd8882, 0x7160e2e0, 0xed8465e0, 0x4b16f86c, 0x7f256707, 0xd6e3d03e, 0x330764d2,
+    0x5c4e5b29, 0xa0a8161d, 0x67263754, 0xa94b0e0b, 0xffd5375c, 0x5304ecc9, 0x8c669d09, 0x2d03e5ea,
+    0x856f63e8, 0x7289d467, 0x183feefe, 0x8194f38b, 0xd62e0d6c, 0x5a5b017a, 0xeb411ab3, 0x56c1fe75,
+    0x8ef8025f, 0x54871b7c, 0x55df309b, 0x03602f96, 0x22ce6c8f, 0x2d313cd0, 0x2a2c406e, 0xf7329b79,
+    0x07b252ab, 0xc27ea3a7, 0xf43b42c1, 0x00f0638c, 0xac91d1c0, 0x6920de88, 0x3fb01d73, 0xeeab8545,
+    0x14dba6db, 0x401e3de6, 0x30ac6969, 0x0d4ff112, 0x8f36829b, 0xae192dde, 0x818786fc, 0x2ce51247,
+    0xd5f52180, 0x6aa0b2d3, 0x577f73fb, 0x20e9a085, 0x8f5756e6, 0xc38ddf03, 0xc9f5327a, 0x9f9afa11,
+    0x50e98ee0, 0x940ee455, 0x3dd1d66c, 0x7dd7e655, 0xf1897df5, 0x0169a46e, 0xd84e1b92, 0xadde3eb1,
+    0x55fb9177, 0xcdad4cbc, 0xb6d5f0fc, 0xebd3fca9, 0xc2f06a65, 0x0bd14c7a, 0x75ab0f5c, 0x1bf23ac7,
+    0xa25d1f12, 0x21523742, 0x08aef671, 0xe552626f, 0x0803557d, 0xc5a5ee9f, 0xc92eb91c, 0x4aa7fc96,
+    0x218cafa8, 0xebe2b3ab, 0xbc1db4b3, 0xeba53297, 0xde9fd0e8, 0x1a45b4d7, 0x93a3d6ee, 0xbfc114a7,
+    0xfe263a59, 0xe4051e28, 0xbfca26be, 0x4b5229ba, 0xd358d29d, 0xc3e6f4ea, 0x65dc5442, 0xe43c7a75,
+    0x2764713c, 0xe8e81b80, 0x96e4c581, 0xf312b5ce, 0x649f5c3f, 0xb0b5135d, 0xa7db04e2, 0x166726e4,
+    0x1ca20b92, 0x068777db, 0x90a6f5f4, 0xd860831d, 0x0d86fd63, 0xb134463f, 0xca7c572f, 0xe57f04a3,
+    0x3105a76b, 0xe427142e, 0xe455ee57, 0x81402de2, 0xb7b5ac3f, 0x6cbc98e7, 0x9f59e9f0, 0xd559af4c,
+    0x20432902, 0x64da231e, 0xe441065c, 0x6fb0f960, 0x10bdca4a, 0x589e2490, 0x456dcd55, 0xa6cffc03,
+    0xc3720f8a, 0x4e59e922, 0xa5b67d7f, 0x3044d379, 0x970c377b, 0x8f96525c, 0xe3c15f25, 0x64a66683,
+    0x2be78875, 0x74143a46, 0x02412de2, 0xa7affccd, 0xeaa9b6f5, 0xe947139e, 0xba1c6645, 0x5a4429a7,
+    0xea7fcfb8, 0x97f3a94d, 0x205829c3, 0x1fb08822, 0xec852ddf, 0x5006cc65, 0x02492f3e, 0x86a99aa7,
+    0x707f2caa, 0x3def5668, 0xf6a6a1a6, 0x25626a2b, 0x23cc5f3c, 0xcef24268, 0x02fb0f55, 0x94d49794,
+    0x08c2e739, 0x3505a189, 0xafbf4762, 0xed14db69, 0xccf7cfcb, 0x58f5b238, 0x79fbce56, 0x617c3bc8,
+    0x006837c2, 0xcccb528b, 0x6d0394c4, 0x27f2ceef, 0x722fddf6, 0x1fa92aa2, 0xefe2f34a, 0xc1a956dc,
+    0x5dbff0aa, 0x4322ec20, 0xf0ad33c5, 0xfc5f972c, 0x0d79e0dd, 0x65bfa081, 0x21fe0f75, 0xb75320f5,
+    0xa367b44b, 0xff80d2d8, 0x2ea72c35, 0xd951e29d, 0x0a498e13, 0x29771457, 0xcac117eb, 0x3970271a,
+    0x77fd56be, 0x796dbbdd, 0x8627256e, 0xfda4ad48, 0x4af55d7e, 0xba63266f, 0x3edd2847, 0x5e702171,
+    0x7a71d5fb, 0xa26d2ecc, 0xf7bdfeeb, 0x96165954, 0x0480a972, 0x60d60e12, 0x6ac32a3f, 0x70ca0e10,
+    0xd060536f, 0x7d80434f, 0xaf69e9a2, 0xa27b5b23, 0xd77b7201, 0xea74c235, 0x9faafb67, 0x774a5c7b,
+    0x6bdf8139, 0x8f43af6c, 0x8394db16, 0x61571bba, 0x73b0d1df, 0x79ea6a3a, 0x9930769c, 0xa729fb19,
+    0x09480e46, 0xab74c712, 0x0965049f, 0x8ed29395, 0x8c4af544, 0x0524c465, 0x30781e77, 0xf8af477f,
+    0xd14fb399, 0x74aeb5a5, 0x30d6f7fd, 0x27c0147f, 0xdb33ec67, 0x7dcf05be, 0xb46d37ab, 0x84aaaee5,
+    0x76a0c9cd, 0x28984f76, 0x19cb8cb1, 0xe86eb950, 0x0bbb0354, 0x9178668f, 0x7def6173, 0xdf2012c2,
+    0xd7c3c25d, 0xf985f2d5, 0x08b3fbe5, 0x77072ec3, 0x202f1189, 0x54341bae, 0x48191f5d, 0x8da5f9d2,
+    0x1a0a686e, 0x2d1e5a78, 0x5bc7b24e, 0x5d692533, 0xef25c0f2, 0x9fee1e2a, 0x993d3642, 0xf7f375da,
+    0x9fead94e, 0xc8faf6b5, 0x87989bb3, 0xf79708d9, 0x2231d066, 0xf6c99b9b, 0x96ecfa87, 0xb61ec18c,
+    0x625d25d2, 0xf99b0514, 0x78376ac1, 0xed6d16e9, 0x689e8cbf, 0x3f09ec9a, 0xe169b961, 0xcca6081b,
+    0xfad3f5a4, 0x4cf1212b, 0xbde33163, 0x9261ea19, 0x632c7953, 0xb03c960d, 0x4c1260e0, 0xd25d9387,
+    0x25109a15, 0x5f871ef0, 0xf108e715, 0xf41af24d, 0x620818a4, 0xd310ec7c, 0x62561090, 0x3fa800c2,
+    0xaa5069d5, 0x7dd46017, 0xcfc06ade, 0x4a462dba, 0xbac18e2a, 0xe5863ae1, 0xba312c28, 0x52ec493b,
+    0x016c8484, 0x4abfa964, 0x430861cd, 0xc8e6bac0, 0x4226c3b7, 0xe23ad6e2, 0xdd5dcadd, 0xe4e60ec8,
+    0x7db45f02, 0x85c77c6b, 0x238d4dcd, 0x7c81b943, 0xb5760888, 0xa3b2af0e, 0x4615e39a, 0xc3838aa7,
+    0x337be038, 0xf69d4306, 0xb6939cc4, 0xbc07d723, 0xba3918ae, 0x8ac91afb, 0xccd5fd3c, 0xc2792030,
+    0x7eff2d0c, 0xe61cde5b, 0x05671e96, 0x6e5d0487, 0xa87755af, 0x621cc7c8, 0x05c159db, 0x85ee1fc1,
+    0x6329d3d0, 0xc09cb628, 0xd2017585, 0x45a27ea0, 0xeea3d18f, 0x9879c843, 0x29279534, 0x7e47129c,
+    0xc392568a, 0xf02ec928, 0xc83d1b18, 0x94dc9d89, 0x159fe353, 0xc20454b4, 0x0000c65c, 0xda0c54db,
+    0xb1371e07, 0x78184ac3, 0x0ab410a7, 0x8a0919af, 0xb99b1089, 0xa477beaa, 0x7fa1261f, 0xdee0c20f,
+    0x75962ba9, 0x723226cb, 0x011d39cd, 0xcc25e6bb, 0x8a716fad, 0x5ab590e7, 0x239f9c59, 0x007c1260,
+    0x19d346eb, 0xcaa2c848, 0x00368007, 0x15dbb7d1, 0xe7370f32, 0xaebd4c83, 0x32959812, 0x905bc914,
+    0x1b0ac3d0, 0xfd20029c, 0xb4df3489, 0x9e58594d, 0x4fb38f5d, 0xbd5bee0c, 0xe09e4287, 0xd972edc0,
+    0x5c5308f1, 0xa9388e01, 0x1b0c83ae, 0x60e1d6b8, 0xf16bec88, 0xe67c55d5, 0xc8c05f88, 0x39409c88,
+    0x403a69eb, 0x0b003a17, 0xa1295efd, 0xfd6ace74, 0x7c545f1e, 0x3a5d45f4, 0xce2af4b7, 0xc0e9fff0,
+    0x017da245, 0xc414c85f, 0x6f5bd6a9, 0x99859dad, 0x365703b5, 0xac8654ca, 0x990127a8, 0x74f80d56,
+    0xe40a7192, 0x3bbc6dac, 0x299af262, 0x5f689b58, 0x253fccb5, 0x405a9465, 0x10f1c966, 0x4cf8db7c,
+    0x2bc1278c, 0x531d2d88, 0x7f16bdac, 0x0ead68fe, 0x49263987, 0x82276406, 0xc08963cc, 0xc9557dea,
+    0xf25cac91, 0x6c540701, 0xf22dc229, 0x456ff5eb, 0x54acf01b, 0x8b71a673, 0xe3655d13, 0xf79c96e9,
+    0x0e818827, 0xe11b1e6f, 0x59f5b4ca, 0x5e573a28, 0x07c57c51, 0xf53fca76, 0xeaad8956, 0x7c7ab735,
+    0x7562c77b, 0x40592369, 0x263fe273, 0x3394a52f, 0xe31c9e24, 0xb8db798f, 0x97242622, 0xec67309c,
+    0x892c5381, 0xee2f3cc0, 0x77bb0fa0, 0x768320ea, 0xdbfd368f, 0xef9bb793, 0x0290c239, 0x20cd95ef,
+    0x7a6ac633, 0xb0b2ede2, 0x44973af6, 0xeef315a6, 0xe5d0e23e, 0xfb0d9d05, 0xf8e7adcb, 0x8d8aa7f1,
+    0xdb70b487, 0x6eb3bf85, 0x8b462fdb, 0xbf85c664, 0x3f4ee50c, 0x85592a07, 0xaef89eda, 0x420f554b,
+    0x7cd6ff4d, 0xe78196a0, 0x666b4e32, 0xecd99070, 0xbd7edbf2, 0xc40a95c5, 0x0199a36f, 0xb83df607,
+    0x5a2f5fc5, 0x2c8cffbf, 0x4e979adb, 0x7878d439, 0x99af1ff5, 0xdccfe1bd, 0x75ba28ac, 0x8cf9499f,
+    0x00000000,
+    0x2c3da196, 0xfffff95b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000002199023255552 */
+  { 0x00000000,
+    0x48ada8ab, 0xeaa2d383, 0x3c85cae2, 0xa887cda6, 0x6f05fcd2, 0xcd8829c3, 0xaa54b8cd, 0x99ed2b05,
+    0x087767c0, 0x4298d13a, 0xf8717789, 0xb120da9e, 0xcdef856a, 0xe9ae1580, 0xc15d3405, 0xb2ab43bc,
+    0xf1e86a15, 0x8be3a596, 0xc9546204, 0x0506e4b4, 0xfe1c61af, 0xe40c7e6a, 0x8014b41b, 0xefbb8081,
+    0xd1a016bb, 0x8f63f911, 0x18f6eb2b, 0x3b26ee80, 0x0f267ce2, 0xaa21b66c, 0xc629d708, 0x86959494,
+    0x0fcc00a4, 0xad695687, 0x26f03748, 0x37205f0c, 0x5667d88c, 0xf27c60a0, 0xe476ea7b, 0xd844a234,
+    0xe5914e1f, 0x46333f01, 0x254a6a50, 0xfdbfe5e6, 0x85b10583, 0x634a5b8b, 0x2ae17b68, 0x92bfa0a6,
+    0xe5b37819, 0x8af0809a, 0x558ad7d9, 0x53a5a3db, 0x8b9a4afc, 0xe00d0221, 0x18fed38c, 0x220c1226,
+    0x243e2fc0, 0xb752662b, 0x2f891f1c, 0xab386444, 0x21bf2f88, 0xa824c826, 0x1767ec70, 0x530265f2,
+    0xf1776cc3, 0x53e02ba1, 0xc352876d, 0xb0ac6bef, 0xa712cec7, 0xe517be33, 0xdfe8e551, 0xa17aac37,
+    0x62a0a655, 0x994bf394, 0x0898a540, 0xe32e3b38, 0xeb2eaa10, 0x05b5f6e0, 0x77d10a70, 0xb3b1db40,
+    0xd9403036, 0x179baf69, 0x8dff0f87, 0x7916a9e8, 0xec2e6a54, 0xc0d726a6, 0xde728267, 0x396e0fc3,
+    0xb58ad235, 0xe3beabed, 0x1d4c72c0, 0x9ef7c4e3, 0x221a5f19, 0x653a280a, 0xbc393505, 0xa72b0c01,
+    0x7ffcc959, 0x4651acad, 0xfdc07dd4, 0x5b94aeab, 0x30f5f4a7, 0x113a513d, 0x14645e29, 0x25441733,
+    0xf705928d, 0x276748e1, 0xb91496a1, 0xad277ef3, 0xca7b22fa, 0x984e79ba, 0x411dc4b5, 0xc7cbba43,
+    0x0ccea018, 0x5593d42a, 0x0ebe0413, 0x65fbf514, 0x039d63c3, 0x1a9b3f65, 0x47ecb3c3, 0x24627d3f,
+    0xd6791f1f, 0xc7824212, 0x19298458, 0x0af6f6ea, 0x3fdcd7ae, 0xd1aa5038, 0xcfd09d05, 0x3f9cddd8,
+    0x8a271ba1, 0x8295808c, 0xb72700c3, 0x009d0283, 0x0c806ae9, 0x38390a39, 0x4192a1b9, 0xdb6ce1e6,
+    0x6e25f6d2, 0x1c65892a, 0xcfb74546, 0xfe01f188, 0x7f403287, 0xf7190472, 0x6ca36d3c, 0x0ab2f9ca,
+    0x4ab768cd, 0x916936da, 0x1465d8ca, 0x5b91d129, 0xcbf64272, 0x4b060460, 0xe7865406, 0x1c9f6384,
+    0x20ed3d20, 0xff28c786, 0xd7c8c46a, 0x1f0002a2, 0x29aa265c, 0x0cc0150c, 0x846c6b71, 0x3167811c,
+    0x6c81b798, 0x28bd3070, 0x5e1e72d6, 0xa924d14f, 0xf1d7f029, 0xeafd3719, 0x8bdabceb, 0xb802e573,
+    0x7a880316, 0xb6db8c40, 0xcdfa7bfb, 0x26fd7dec, 0x0b1577ae, 0xa4a489ac, 0x41a6c7b9, 0x970e6dfa,
+    0x72793609, 0xe78c4f50, 0x50acdb73, 0x9845144b, 0xc0d9c28b, 0x26ca215a, 0x8eee198a, 0xcc6da89d,
+    0x62ae56eb, 0xa4a4fa54, 0x912de267, 0xcc7e0f4c, 0xe31eeb52, 0xf442e35b, 0xcaabff2b, 0x88bb209a,
+    0x0228d06b, 0xd81182b2, 0xf2d1b0e8, 0x83747168, 0x49357d87, 0xaad59f69, 0x267d31ef, 0x33c312f4,
+    0x96b3eb10, 0xd9751962, 0x37877b1f, 0xdc512c85, 0x50d198fe, 0xe6508bbf, 0xfa261211, 0xf790c09b,
+    0xd9e06260, 0xc49973ef, 0xc78ab884, 0x9047210d, 0x4f5bfa15, 0x0c6058cf, 0x0fbc65f8, 0xc2e705fd,
+    0x83127f8a, 0x08dddfed, 0x96775e95, 0xe6f79c86, 0xa7f45eb5, 0xd4fa322b, 0xdb3d0691, 0x37f20c6e,
+    0x117c70c7, 0x233fc876, 0x6c318145, 0x5ed0053c, 0xec7c4114, 0x69b9613c, 0x951215a7, 0x981b7938,
+    0x2af1e49c, 0x0d93f37d, 0xb5fd0dd5, 0x96eea732, 0xc2cd51d3, 0x95ac8338, 0xbc1b8bbf, 0x3bf8a9a1,
+    0x9bf01325, 0x274be614, 0x406824d4, 0xcf2bf344, 0x64342f80, 0xdeb6fb34, 0x933ea97b, 0x49a3af9f,
+    0x94d8e65e, 0xe7a17f39, 0x16650b49, 0x227a6cae, 0x7abd516e, 0x32aff6b5, 0xb8c83c1d, 0xba941ace,
+    0xfa5d1f93, 0x6cc40de5, 0xfd4e712a, 0x5c1654cd, 0x91071464, 0x46f06efb, 0x99f65349, 0x78de4fff,
+    0x5906b360, 0x181f3c2f, 0x872335c7, 0x1251bd8b, 0x3bfb3955, 0x4270c5a2, 0xe6004096, 0xc44aa438,
+    0x4b70e7b4, 0xaf2d4aca, 0x3d54e2a7, 0xaa3bd73c, 0x3ccfad25, 0xd922a107, 0x9594b0d6, 0x0053b2bb,
+    0x9bc97338, 0xa1f040ad, 0x00e834c8, 0x136da60b, 0xeebaf59d, 0x33ac396a, 0xa9931605, 0xe21cf62b,
+    0xd1c7880e, 0x4445a8c5, 0x047b7471, 0x647812e3, 0x122bbf5e, 0xf89b1e93, 0xea5b518f, 0x8858a05d,
+    0xc09e7ddd, 0xb03313d1, 0xc3f8cd06, 0x2c8bf7d6, 0x6e40de3c, 0x2d012c28, 0xe833f378, 0x340ca896,
+    0xcd96588a, 0x3a970059, 0x77101b02, 0x2dbfb3ce, 0xb3841376, 0x9ae94972, 0x48998f5f, 0xfc4e0d49,
+    0x0cc3d52b, 0xad3d2646, 0x04ae4887, 0x9d3b6353, 0x2c23a8ec, 0x1eaca54c, 0x8abdd21b, 0x1a041e5c,
+    0xc27ebe93, 0x8e6d58e9, 0x7bcb0714, 0x68e236f8, 0x78dd0223, 0x0f0389eb, 0xc99eeaf0, 0x52b98e0c,
+    0xc0376d25, 0xb365b13d, 0x2350f9d4, 0x6a3c3f72, 0xc23c93f4, 0xfa6e0b6f, 0xce3c898c, 0x02d4152f,
+    0x1648e9d8, 0x715539f0, 0xab023dc7, 0xb92477ed, 0x9e54d242, 0xb8900918, 0xe7da5d8c, 0x3bb9c108,
+    0x3d44f680, 0xd6c257e2, 0xc7b31560, 0xa716ac75, 0x0b0a9b32, 0x58d6605b, 0xdc0cd76a, 0xd3445aea,
+    0x78ef7361, 0x2a9ed240, 0x3d11a3e8, 0x012e4ee4, 0xd606fd18, 0xc4c337b2, 0xdcdf41b0, 0xb9307aa2,
+    0x541ee8b5, 0x1a6df0c0, 0x4e8e2578, 0xe2c2964d, 0xc2b658ce, 0x2321398c, 0xcd721263, 0xbcc92b4b,
+    0x37cad53e, 0x5969f04f, 0xc5c94f3f, 0x1c117140, 0x46882b5c, 0xa6ca67ec, 0xb18c4b42, 0x830abb05,
+    0x1388a1b4, 0x2135a3e9, 0x1fdf6533, 0x3d3d54bb, 0xbe6c247f, 0xe7b48ece, 0xdc596ac9, 0x38c611fd,
+    0x38e19e44, 0x79eaa23b, 0xd8ac846c, 0xdb7fde84, 0xa5aa131a, 0xcf90118b, 0x294e6e1a, 0xa0102a52,
+    0x79560687, 0x0e9b9ab2, 0x9d72f4ee, 0x5d5e29ad, 0x05c6e851, 0x8fddd69c, 0xefb6ebb2, 0x1d638415,
+    0x463e2ca5, 0x5caca0c0, 0x7f772f9b, 0x5d278655, 0x65562c92, 0x22d08560, 0x097441de, 0xea21f2fa,
+    0xb6a2bd88, 0xf00c8210, 0xd36c86e5, 0x4d3be1cb, 0x07ce226e, 0xb31d8b52, 0xb7e56897, 0xcf735feb,
+    0xc77a300e, 0x1aff95ad, 0x6881b272, 0xbc5bb3fc, 0xb1ecbd5c, 0x0d756662, 0x1f44dc8e, 0x37a4cd33,
+    0xdcc5ee94, 0x7b6e4b03, 0x4d146c38, 0xf23f375e, 0xff51641c, 0x54089c2f, 0x2276e310, 0x445e30d6,
+    0x0e467484, 0xc01a8956, 0x24b3aad1, 0xf265a03f, 0x9e7c37c7, 0x6dc4fc3a, 0xb4d62070, 0x335014ec,
+    0xdf36eb9d, 0x7bd2411f, 0xd347af03, 0x1503f40f, 0x52ea6fc9, 0xe9431bd4, 0xb846094f, 0xc7f9be51,
+    0xaba0fdb1, 0x4cb3b1de, 0xf603e3f9, 0xc5f4e808, 0xf88e736b, 0x701266b3, 0x109ea7d9, 0xbd4a7e68,
+    0x8f81da69, 0x3f5b79a3, 0xeed16fec, 0x5ed77497, 0x63b76b80, 0x0ce016cd, 0x1bf87d2e, 0x0e008fa1,
+    0x7a0bc63f, 0xecf59f13, 0x4bce01f3, 0x789e2d13, 0x267ac2e7, 0x01d097ab, 0x21083b37, 0x581c8062,
+    0xdacdd8f9, 0x867f18e9, 0xa4d3d10c, 0x744f3fe4, 0xdad94f4f, 0xbc0139aa, 0xc31757ec, 0x21ab82f8,
+    0x502e0756, 0x3b0f5bdb, 0x7d0fce85, 0x9aa72009, 0xfe6cb61b, 0xa486c6ea, 0x2ebedc10, 0x902923fa,
+    0xe469d944, 0xbe83553c, 0x1cdeea4e, 0xcce6589a, 0xcd26ad4c, 0x9491899b, 0xc1f970a7, 0x8d356cf2,
+    0x5a893a3d, 0x505412f1, 0x843066d2, 0x5281305e, 0xf8636a6e, 0xf5db25f8, 0x988f11e0, 0xc7f0f739,
+    0x2af717a4, 0x4bc5a369, 0x23ba32de, 0xb97d6644, 0x607ac103, 0xef74af22, 0x67c2dfd7, 0x567c5c74,
+    0x205fa1ef, 0x15706b28, 0x3b9c2d9a, 0x4ed1506f, 0x7201b45c, 0x2b96bd80, 0x5e66df7e, 0x37b74a70,
+    0xafac7b56, 0x83374bdf, 0xd642f92c, 0x5b754bf7, 0xefe45056, 0xf2169a6e, 0x944d8d93, 0xbca40092,
+    0x269218e7, 0xef7df54c, 0x0b1031e8, 0xf00f207f, 0x4a752368, 0x05fef9d2, 0x8a24bca3, 0xa389cdb3,
+    0x4be8d291, 0x7de2775b, 0x9f4fa6ee, 0x465f7fa4, 0x4205fc96, 0x5b5fd62d, 0x760b2b3e, 0xbcfd1ac3,
+    0xf5f8c269, 0x4a8c0e72, 0xab8c31d1, 0x5b922e5c, 0xf76ea842, 0xcb791e89, 0xfd932d21, 0x99871193,
+    0x6f942402, 0xbebf7363, 0xd4f65f4e, 0x8a9196c9, 0x02523929, 0x0b938303, 0x2d5e851b, 0xc267a1cf,
+    0x712c3af2, 0x2b58af54, 0xd0efd5cd, 0x66534a45, 0x03452a31, 0xdc9c49d3, 0xa692437a, 0x8f2de33d,
+    0x48e597c8, 0x078c7510, 0xe0e976c5, 0x648346d4, 0x81f9f5a8, 0xed297631, 0x28faa27d, 0x34f61225,
+    0x0dce6fa0, 0xad2ed935, 0x81fbb3d1, 0x559cb8e0, 0xab0f3a3b, 0x8e9ccff8, 0x7e6d8c34, 0xc6b7b0b9,
+    0x4573110f, 0xe72da140, 0xc464f988, 0xf4e74815, 0xb1ec6120, 0x2121fc78, 0xb70b7514, 0x566d4e7c,
+    0xc08b00fd, 0x8b775558, 0x446e5c7b, 0x761d1a35, 0x6cd99c0d, 0xdd1cf45d, 0x45698892, 0xb90066e9,
+    0x9a099892, 0x2abdc8fa, 0xb9bd1b07, 0xef361ed7, 0x9af06763, 0xef89bb11, 0x0fdcdab1, 0x334285e9,
+    0xb65cb25b, 0x1b0da669, 0x6b9617bf, 0xc7ec3aa9, 0x39319873, 0x0476049b, 0xd0c18068, 0x207d03d8,
+    0x1ca2da8d, 0xf5369c1a, 0xdeae2b53, 0xb9cb4317, 0x6abffbb2, 0x468797dc, 0xb250b4c0, 0xfa409b4f,
+    0xbb825af3, 0xf1c31125, 0x5959ca68, 0x4fe1fa41, 0x07acd8bf, 0xf5dc3a39, 0x2fddd9bd, 0xddfcc064,
+    0xfe4dcb33, 0xbf842be4, 0x7384f9eb, 0x95da6be8, 0xcbed66b9, 0x5ab827d8, 0xa38a438e, 0xf229bd85,
+    0xe16b22be, 0x064147b5, 0xf1ededb5, 0xaf8bacaa, 0xc4ee67af, 0x58a08d45, 0x8dddb89e, 0x5f875902,
+    0xc93bb931, 0x7e3efe49, 0x1051bec4, 0x5bff73fa, 0x32feab30, 0x4f88e80f, 0x4ede7df3, 0x89124962,
+    0x6a21ab3e, 0x46174938, 0x333f6be3, 0x732a74de, 0x9b862c13, 0xdce50ac3, 0x92aa23b2, 0x82ab9891,
+    0x07c9f932, 0xa0e40213, 0xd1307159, 0xb650fd6a, 0x2f5b768e, 0xe509d90b, 0x36d6bbde, 0x50f5de24,
+    0xcaa0da7e, 0x79669b00, 0xd6718d79, 0xd048777c, 0xd766de5e, 0x16ccea6f, 0x2fe9634b, 0xf4d7bf4c,
+    0x48de4910, 0xb12dca64, 0xe236c025, 0x1e2ddd75, 0x6559bf85, 0xe8a741ff, 0xdb29e6b2, 0xb9b9e258,
+    0x549b1dcb, 0xd1a864da, 0xecbf80d5, 0x4bf6411b, 0xfeb80bc3, 0x36bc1104, 0xd4b2bea1, 0xbd1aca50,
+    0x061ed8c3, 0xd0667d88, 0x374566ca, 0x9e1aa511, 0xd3856195, 0x5abda766, 0x825217ae, 0x78a2a7f1,
+    0x5b55d935, 0xbbbb1d43, 0xbf678775, 0xe236a9b7, 0x2f0aacdc, 0xa5a5ed9e, 0x2092d093, 0x0df93f9d,
+    0xb4bbc574, 0x0875407c, 0x8a66c836, 0x3d1ce61c, 0x14a8c3c6, 0xe1dcfbc3, 0x93efe387, 0x89fbccf1,
+    0x1fbbb530, 0xad3e4cf6, 0xfce38fc7, 0x0568c8e6, 0x4850be22, 0x73908c8f, 0xc89bd5d9, 0x3342cfc2,
+    0x2f869912, 0x972df490, 0xd0a903e4, 0x446ef139, 0xc77e2c05, 0xafd7b8f2, 0xfb781862, 0x7ecd1b07,
+    0xff3355d3, 0x954636c3, 0x6870be6b, 0x2f47cb0d, 0x7103ac39, 0x1869cf10, 0x5afbc5eb, 0x63b8d4f1,
+    0x59d7fbdc, 0xe3f3e3ae, 0x648cb928, 0x26d89f58, 0xb757f2fa, 0x2b50886b, 0xcdfe5ca2, 0x7019716a,
+    0xadfbb850, 0x186239e2, 0xe4e56363, 0x26d4f118, 0xfb7de905, 0x0ff84bdd, 0x41a00733, 0x64733c39,
+    0x4d6d1c96, 0x7c3e1816, 0xf1d6e197, 0xd093196c, 0x624e55c2, 0x1f5244be, 0xa10d16e3, 0x13becdc5,
+    0x021aa705, 0xd2138b98, 0x3b41d0dd, 0x10feb5f7, 0xcd23a30f, 0x939cd4c8, 0xe5c9b6e8, 0x7b160baf,
+    0xfee03958, 0xa0b32b63, 0x208817d3, 0x16f75f4a, 0xe3ddab68, 0xc930d16d, 0x2334dfc9, 0x12ee6327,
+    0x5553d8e5, 0x29ffe325, 0x4828bd0c, 0x682b4267, 0x0d1c47ce, 0xfad2f51a, 0xf263158d, 0x263844c1,
+    0xf8985ca6, 0xcff880bb, 0x8da6eaab, 0x03d27103, 0x1c14791c, 0x9115428a, 0x4bd161ee, 0xc40a66e9,
+    0xce45129a, 0x941d9442, 0x1b2b5799, 0x5430a461, 0xeaea1a24, 0x1dde76fe, 0xe82e390c, 0x3a403072,
+    0x4fefbe36, 0xa9389bc2, 0x476c60e4, 0x021a0a73, 0xab2ea340, 0x8bc58b00, 0x4df95736, 0x055dd9a5,
+    0xb251ee54, 0xaa3daa5f, 0x3608a555, 0x7a6aa57a, 0x08c9f563, 0x5e7e001c, 0x25013af9, 0x7ec1c507,
+    0x26aec637, 0xbd2a2590, 0xc6b534bc, 0x2a09ea83, 0x5b719d85, 0x50dae9c7, 0x0f65e7b6, 0x608f5d33,
+    0x2000d448, 0xc8485dc1, 0xa47c114f, 0x3529dc8b, 0xbe159c71, 0x6777a691, 0xf9353ac6, 0x86da56f6,
+    0xa8fb17f1, 0x28ab11e6, 0x25648d93, 0x2ef41ca9, 0x3610f1dd, 0x8a5e2ca7, 0xa9f169f7, 0x48ff3907,
+    0x365ea660, 0x713fb71a, 0xdaba9566, 0x31f70e9c, 0xa09e171e, 0x7e106ed7, 0x9028a1d9, 0x92c160ca,
+    0x1207e589, 0x97e411a5, 0x574c9e56, 0x70da3b4a, 0x53148b39, 0x7d4877ef, 0x5dd43409, 0x8a4f8e00,
+    0x30c0686e, 0xaafc15cf, 0xc6581cf7, 0x5fafbaf4, 0xd6ebd662, 0x3bc14715, 0x9132e7ad, 0xcc2c7a5a,
+    0xdf13efbb, 0x6e05aa8d, 0x6bb33d2a, 0x7e66bf8a, 0x10c4c3e4, 0x2cef5229, 0xbb99c519, 0x367fe0b4,
+    0xc915282e, 0x02bfb84f, 0x6c14b494, 0x492b5d49, 0xd0a2bb1a, 0x814079c8, 0xd5f26817, 0xc3355380,
+    0x749ec671, 0x59256a44, 0x44e723a2, 0x00be8786, 0x67f70127, 0x65258cf3, 0xa544a268, 0xb30214b8,
+    0x0d007ff3, 0xcf4198e0, 0x3af51f08, 0xdf045d73, 0x09a87e7e, 0x4f7ff041, 0xf993b1c3, 0xe0e96b4f,
+    0x30cd9757, 0xcb34a240, 0x0bfa7d29, 0x4e2c3006, 0x25656199, 0xfad88a4b, 0xb2341df5, 0x88742e15,
+    0x719218da, 0x9b9f959a, 0x5c665296, 0x3efd9723, 0x30a86b75, 0xc7291430, 0x66b86b45, 0xf1239fb9,
+    0x99e0ba45, 0x2d76faa0, 0xd21c226f, 0x47e00e9b, 0x26069368, 0xbedb98a0, 0x730a5871, 0x32198792,
+    0x0e6befaf, 0x6b15c04a, 0xd27e811b, 0xf4409334, 0x8257b8de, 0xa4d19b98, 0x315e022b, 0xb30bc1d6,
+    0x1bab73f0, 0xbc7f20e6, 0x5f07b17c, 0xbe21c47b, 0x79332160, 0x63e926cc, 0xe9b967e0, 0xcee44753,
+    0x5a045584, 0xd8cc45cf, 0xaf20b187, 0x0c5c78a1, 0x11f44f4f, 0x793ebae8, 0x77e1e625, 0x8c0f6142,
+    0x97b7456f, 0xf3efa9bf, 0x8435384b, 0xd9b4cdd8, 0xa4c6c86d, 0x7d3c3bab, 0x4d5e1bca, 0xb7000233,
+    0xfee54546, 0x076ea4cd, 0xf0456601, 0x5d4718f9, 0x8642241c, 0x3e2524d7, 0x1b3d2a62, 0x6d3fd6f3,
+    0x55690537, 0xc534f2aa, 0xb0f3ea80, 0x5ef748ae, 0xd201fffe, 0x04707505, 0xa1db312a, 0xfa1f009b,
+    0x43a795b7, 0xa0e39b7b, 0xf504acfe, 0xc890aee1, 0x9d721366, 0x1ff1fd54, 0x4b3ed85c, 0x26b013b8,
+    0xf6ba2f01, 0x9d9c6ab8, 0x711ec9a3, 0x82d3e2f4, 0x7e35b8a8, 0x09c8b88c, 0x1f88f31a, 0x6b8c088e,
+    0x0f246cda, 0xd63bb79e, 0xef6412fd, 0x820ad910, 0x54ab969f, 0x3b5d761e, 0xee6f5236, 0x1325985b,
+    0xaaf94b90, 0x5bf88d88, 0x1f76f8c8, 0x307b7e29, 0x5e42bbeb, 0xdcbc0397, 0xe439a7e8, 0xbdf8c85d,
+    0x00000000,
+    0x961ed0ca, 0xfffffcad, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000001099511627776 */
+  { 0x00000000,
+    0x786107ae, 0xffecc368, 0x31a2e87b, 0x9011f297, 0xaac453a0, 0xc3d41eac, 0x39879ff7, 0x9637dfd1,
+    0x8ae935eb, 0xb8b10166, 0xf8fb3818, 0xd2e49c1f, 0x01464c25, 0x8083b8c3, 0x6baa9d21, 0xc86d27f1,
+    0x230b1540, 0x6b712295, 0x8d0ea409, 0x12c2fc3f, 0xde838917, 0xc7afe34a, 0xbfda8059, 0xfb9c08f0,
+    0x6cd0b90b, 0x22a9d31b, 0x6990f452, 0x10a64052, 0x4138ee60, 0x40562d91, 0x3be74766, 0x5999b2dc,
+    0x83220cbb, 0xef9167b4, 0x043da76a, 0xb0154206, 0xb4bad704, 0xdfb42510, 0xe5cd5f98, 0x993acebe,
+    0x8e80d2d5, 0xf2b9256f, 0xccbc1e90, 0x8644fbad, 0x2b3ff726, 0x25dfc640, 0xcf5358d0, 0xb575f044,
+    0x06636e53, 0x0e09c594, 0x294d78c1, 0x7bc485f1, 0x67c952f0, 0xfa34f99c, 0x8491dfec, 0x2f9a440a,
+    0xa4ff3267, 0xd9ccfb18, 0x88cc27c6, 0xf71aa21f, 0xc112eb80, 0xbb0d5155, 0x7434711a, 0x7841884c,
+    0x4a64a476, 0x16dae37d, 0xa4fa1a7a, 0xb4677a7f, 0x162b5506, 0xc9a5a969, 0x6349e82d, 0xd562872a,
+    0x1f88e869, 0xb16c433e, 0x689edc0a, 0x609d74bd, 0xe856af94, 0x7414d4b7, 0x361d8514, 0x0bc10030,
+    0x94803192, 0x327e065d, 0xa1bc3bb0, 0x433cf9da, 0x238ef928, 0x22ad48df, 0xc7933de2, 0x064e308c,
+    0xc766b4b1, 0x52f346c3, 0x180a3cb1, 0x6276854e, 0x1cc591bc, 0x3f92a135, 0x46b98ce6, 0x17101872,
+    0xcf4cbeea, 0xe10a2b81, 0x04d38ad0, 0x15b2554b, 0x2706c82a, 0x6926cc52, 0xca949eab, 0x770f7bc6,
+    0x274212fa, 0xf86168d2, 0xce003cdd, 0x3953dfb2, 0x07132fe9, 0xc819415d, 0x0d82241a, 0x3a28b70a,
+    0xa9b5f20b, 0xddc3639f, 0x859dc143, 0x6652328f, 0x616fefd8, 0x56867de0, 0x4e2ef702, 0xbd116624,
+    0x67b451c2, 0x4ce12e50, 0xd6e2ca77, 0x9771d58d, 0x7df784e0, 0xcad12171, 0xf40d6f5e, 0xe07f95d9,
+    0x0f8289c4, 0xefd73e19, 0x6223ea8d, 0x15198a5e, 0x8abf5abe, 0xa794cb06, 0x1accee11, 0x5d6c9da2,
+    0x2fd80280, 0x038e4326, 0xa4ba66d2, 0xb4f77719, 0x952dcd06, 0x2f7918dd, 0x6a62adb8, 0x56a8b496,
+    0xe5138761, 0xbbd91a83, 0x6dc8a7c5, 0xb22dcdc1, 0x707e50b1, 0xfc1086c7, 0xc98ce5a5, 0xf277a939,
+    0x470a864a, 0x649b1bcc, 0xf4e1862e, 0x85a5acda, 0x931c1241, 0x2d8b4f94, 0x8cfef4d4, 0xef706825,
+    0x5bfcc268, 0xe96128dc, 0x8d239ab3, 0x8bee12ba, 0xd5896e97, 0x06981ad2, 0x0741358a, 0x71ccd355,
+    0xffa8ba37, 0xf41758cd, 0x75bd9e2d, 0x6f51c20f, 0x34580075, 0x5d4c2b17, 0x78c2980d, 0xdcc216cd,
+    0xbf570e2a, 0x9ca16432, 0x67b1d381, 0x6c7efbd5, 0x23fb01f1, 0x51de676e, 0xa28ce064, 0xd25e4aa6,
+    0xd79d4cac, 0x564f054a, 0x23781dbd, 0x50b32787, 0xb34f979e, 0x406b3fdc, 0x260225dd, 0x2b4d06a2,
+    0xbea1eb34, 0x68c60217, 0xe8e825c8, 0x7098e637, 0x4d9f4cb0, 0x4405184f, 0x069ca714, 0x9d38609d,
+    0x793f703a, 0x94c88998, 0x50fcc7c3, 0x56bd7d13, 0x63966135, 0x4cf608a6, 0x9a673c2e, 0x28b22f19,
+    0x826c21ea, 0x78f8a58f, 0x81362e71, 0xbff90800, 0xf68681a7, 0x0860eba9, 0x7f12dc3e, 0xe21934c3,
+    0xf5f1554c, 0xba8ea54f, 0x298c9f3c, 0xd6bd7e83, 0x13111643, 0x5ec718df, 0x10a0f47b, 0xc71ccfaf,
+    0xf308e514, 0x5142400b, 0x4d616667, 0xc8b9a888, 0xe25ff33c, 0x20a7c4ea, 0xf8a81c98, 0x370a6e3a,
+    0x23701efd, 0x0230829d, 0x1a7697d3, 0x81d3bba6, 0x0ebe7a9c, 0x629b832e, 0xf7c8c196, 0x34b28afa,
+    0x031d8972, 0xdd061eac, 0xf2e3c522, 0x3ae58b2b, 0x203b9fb0, 0x67631e0b, 0xed3cecd0, 0xfc383d84,
+    0x49b43652, 0x89fe259d, 0x5c693833, 0xc1150d7a, 0xdb7bfaa4, 0xa905149d, 0xb3d0ce84, 0xae37c504,
+    0x8968abc4, 0xbeb97f81, 0x613d6553, 0x1fc9cf34, 0x7d10fa89, 0x1abeee06, 0x91c837e9, 0x693f8537,
+    0x8b7f5c0b, 0xc87a4d27, 0x1bcdb7bf, 0x76d9db69, 0x4e143bcb, 0x9def7948, 0x778b9b7e, 0x318cfc94,
+    0xa1ef03c7, 0xd47e35fa, 0xcedbaed3, 0xa3d8e681, 0xa2fee3ef, 0xcde9577e, 0x11555933, 0xe9015799,
+    0x69c5521a, 0x194c59de, 0x8caa4df8, 0x94857b92, 0x8082de15, 0x75f09b91, 0x216bdfe4, 0xfdeeafc4,
+    0x9f85ecfa, 0x5e29dabe, 0xae63d80b, 0x6dc46a1b, 0x0d7411c8, 0x633c2484, 0xc96b4c39, 0x3e340ac6,
+    0x08b4a6e3, 0x430cd3b5, 0x1e9bd014, 0xe220a417, 0x9c6a5b38, 0x610fc851, 0x025ae846, 0x53baae73,
+    0x04a3dd28, 0x465e68e0, 0xc2ae8089, 0xa281f11c, 0xab433079, 0xc415a55b, 0xc13391dd, 0x11635501,
+    0xb74245dc, 0x8c7bd110, 0x6bdad3fb, 0x3304e1a0, 0xa25cfff7, 0x27fb2f56, 0xfa04079d, 0x506b1e04,
+    0x9a0f2386, 0x3b9683b7, 0xbaafd3ed, 0x5d080b68, 0x136a4b37, 0x520915ea, 0x11b09b1f, 0xdbbf6e31,
+    0xbd7d3997, 0xf07fab4e, 0xc4decf5a, 0x66a4a362, 0x62ec744a, 0x3402847a, 0x5d82556b, 0xa9ac9a06,
+    0x272ed745, 0xe710c30b, 0x1bf83bd4, 0x0f8149e3, 0xb2fd6ba0, 0xfd44399a, 0xfb107ca0, 0x0f27088e,
+    0x6895809c, 0x4bb5a215, 0x67896416, 0x3fa6e290, 0xcba1878a, 0x4311f8b5, 0x206cea72, 0x217e4297,
+    0x94c32e37, 0xe6eff608, 0x1ba9bddc, 0x9517db96, 0x2492b6d9, 0x58b44197, 0x2ed01d3a, 0x48e1ea33,
+    0x9a18eb9f, 0xb79727e9, 0xfd7eff14, 0x197252a0, 0xcc0da122, 0xbc91d2b6, 0x44097c4f, 0x381c0952,
+    0xa0df3216, 0x64d069a4, 0xbef9fceb, 0x7713cc49, 0xac22b6b1, 0x401482f8, 0xf330db06, 0x0257c01b,
+    0xbe7e7425, 0xe92dba4f, 0x0aaefaf5, 0xa4a51265, 0x56503a4b, 0xfcca9be4, 0x586c414b, 0xd22b226c,
+    0x9b221dc4, 0x0183bcba, 0x5b1c419b, 0x0f823cf2, 0xc09313bf, 0x84d6b889, 0xbdebf120, 0x652c9bb3,
+    0xd23c6cc2, 0x10a88f24, 0x587eb89e, 0x75f6b68c, 0x1e698417, 0x188f887a, 0x3f2d4497, 0x4b09f3c5,
+    0xd730c944, 0x98972617, 0x340ff003, 0xd880af5a, 0x0a0b7bce, 0x139914e4, 0x3e10a242, 0xf62d6175,
+    0xa4df5336, 0x90a8f6f6, 0x5d72bcbd, 0x8adfece5, 0x80e39b17, 0xc5e83d7e, 0xcbf05dca, 0x1118e46c,
+    0x92eacb5f, 0xcaffa21b, 0xa009185b, 0xe5863d1b, 0xa466fd7e, 0x68752731, 0x473d0a42, 0x141a0b50,
+    0xb9674d51, 0xcc5fa3d2, 0x8aab6909, 0x8e37effd, 0x458005da, 0x4ccda0a6, 0x5bd59658, 0x2a0523c7,
+    0x5feae141, 0xf9d72a24, 0x249c5049, 0x2b7cc11f, 0xafba2868, 0x8db67e1e, 0x01abb93c, 0x9bfe3d9d,
+    0x9ba7b8ab, 0xeac2641f, 0x8de2a366, 0x8982f58c, 0x32a9afb6, 0xee097377, 0x05169e9f, 0xf1e3eb0f,
+    0x515912c2, 0xab585baf, 0x9355cc88, 0x7a29e2a3, 0x06ddb04c, 0xcc08bedb, 0x2f2ee8bf, 0xfe872165,
+    0x0f18eda5, 0xc1713809, 0xb946fad5, 0xae4a4633, 0xf61b3efb, 0x0744ba65, 0x14ca9b90, 0x051a37a5,
+    0x0e8fcf73, 0x8f8ee91e, 0xbfc6f8de, 0xa40111d1, 0x6d01f05b, 0x813f65b1, 0x280ea77b, 0x8ff98980,
+    0x7d0caf9f, 0xe59944ae, 0x09affa8e, 0xd0d0c79d, 0x72a348dc, 0x71daa9bf, 0xf3b46346, 0xbebff5b5,
+    0x51cc8ab1, 0x4d98ad83, 0x92264b32, 0x8a9dea4f, 0x69894457, 0x8a856d32, 0x156c7ebb, 0xccaa2487,
+    0x8c0aa487, 0x27f27a97, 0x355b431a, 0xfc059cd2, 0x0c6b5013, 0x6f90a030, 0x7d0ccb67, 0x18f61e28,
+    0x7a437da0, 0x01d9cb58, 0x8b486f44, 0x13c1e8eb, 0xc703b73f, 0x017351c3, 0x30bb018e, 0x12129051,
+    0xf19d590e, 0x27829d5f, 0x4d9068f0, 0x19d14d46, 0xe1fdd926, 0xe6b7d056, 0x43a0f41d, 0x7cfd5571,
+    0x7fef8d4d, 0xb8bbe85e, 0x64248977, 0xca28e956, 0x9fecfcea, 0x52fc979d, 0x8d69d276, 0x734f8945,
+    0xc566f55a, 0x3a2f13cc, 0xc19ec00d, 0xebe577bd, 0xd016a7a9, 0xc463b381, 0xa35cd51e, 0x8ef870ce,
+    0x541d5aec, 0xa4f84d79, 0xf2f64bae, 0xf92406cf, 0x4046ab24, 0x40d6ceab, 0xbceeefb9, 0x5cb63139,
+    0xd6251eb1, 0x83a7517a, 0xb5254c0c, 0xd4244763, 0xad82dc52, 0xcba517bb, 0x3a8a40fc, 0x27c4c5b7,
+    0x1ac7d83a, 0x4a1cd4a0, 0xa25524de, 0xd55572de, 0x61e641dd, 0x9b5c32e7, 0xd8fb6c26, 0xf2251ec7,
+    0xe7b41a03, 0xf1c81082, 0xb26069b1, 0xa611a164, 0x6a9e9122, 0x5aa9b891, 0x52ab2ae9, 0x5b261713,
+    0x7de3a3ff, 0x0ab6f559, 0x6ea12a35, 0xa43579af, 0x508bcc4a, 0xaffd2eef, 0xc5aad7d7, 0xc737c1e0,
+    0x8900d996, 0x89715f7d, 0x345d155a, 0x0fdfe9f3, 0x88260e25, 0xeaafb8ea, 0xadca5bed, 0x8a58a672,
+    0xb81da46c, 0x8e6bcee5, 0x6f692c42, 0x49640a7d, 0x0ea1b773, 0xbe1f07b6, 0xe95fdc84, 0x6e85df48,
+    0xda315cff, 0xc0f6bc74, 0xb7f5059a, 0x743b5da9, 0x3fccea90, 0xb78be0ec, 0xf9e39efb, 0xa42d49d0,
+    0x2274f870, 0xe9b526aa, 0x48dc90b5, 0xbb738984, 0x24c06d90, 0x299ef1bb, 0x97df6e17, 0x8bee5894,
+    0x104bde3a, 0xa34a3614, 0x737ad32e, 0x86de496c, 0xec22723a, 0xfa763ec1, 0x89640251, 0x07b6bdef,
+    0x07798eee, 0x5f436267, 0x34ceae5c, 0x96081bdf, 0xbc511511, 0x465a7bcc, 0x57196e90, 0x050c646b,
+    0x1f4b2c78, 0xc1b28c5f, 0xf3aaae6d, 0x71a7d973, 0x6fbd7e3b, 0xc983583b, 0x7fd591a8, 0x36ca919d,
+    0xdab5ed68, 0x5ec6a2a3, 0x6d8ad454, 0x2bafb5e8, 0x8854c12f, 0xdbc804f3, 0xdf0a4d1f, 0xe78c16b1,
+    0x97d553bb, 0x8ed88977, 0x4ab28c93, 0xd043ca52, 0x1e110663, 0x40bdc5aa, 0x6c106aca, 0x8c8904bd,
+    0x0c810a18, 0x9d5a3780, 0xb1721904, 0x34a55a46, 0x156a40ba, 0x97ef5e75, 0xd337b155, 0x3eb6970d,
+    0x2350d620, 0x24afa64e, 0xc6fed500, 0x7dc22635, 0x5dfa06cf, 0x69026466, 0xd29fe979, 0x26928c00,
+    0x14138886, 0x451e1c71, 0x2e8d48d2, 0x5cd6a89c, 0xccc880c3, 0x272fb687, 0xb095dc2b, 0x25c749d5,
+    0x362ff81a, 0x0662446f, 0x45764632, 0xc7c164d5, 0xed8be05c, 0xe665fbd3, 0xe626d84a, 0x30c4952d,
+    0xfb0070b5, 0xbf576ad1, 0xef722898, 0x3764bacc, 0x57e8a578, 0x16e24c22, 0x5fdc8ac2, 0x2d595867,
+    0x0511f9fe, 0x93a0e9f5, 0xe5bc1bf2, 0x8d67694a, 0x58b4ebf8, 0x6e5fb5e0, 0x52267458, 0x7aa8a6d8,
+    0xce5646a0, 0xdef889ea, 0x5b469dd6, 0xc368649b, 0x0830f177, 0x223d0870, 0x87ae3de0, 0x91be81a3,
+    0xc40ed198, 0x6ac39c35, 0xaed9bab2, 0xa8b0b6e3, 0x6cd3cc5d, 0x6f744290, 0x73e23de8, 0x6652c636,
+    0x333bd665, 0xceb086ef, 0x0b89fb1e, 0x3651536e, 0xed7d3710, 0x51ee6f27, 0xad341bc1, 0x0f0a7da5,
+    0x8dac511c, 0x485c6a0f, 0x3a3a8122, 0x8674d269, 0xcd7d99e1, 0x6684226c, 0xeaee9762, 0x7b5137c7,
+    0x663f8963, 0x73c1f143, 0x1d9e3a6d, 0x3658145c, 0xbcdede32, 0x65a74552, 0x8c92166e, 0x8305ad48,
+    0xf2d59789, 0xe437ff20, 0xf0cbcbaf, 0x93aadac2, 0x5f490616, 0xa264d6a9, 0x3a020831, 0x8cabb323,
+    0x7685ca66, 0x8003f998, 0xfd4d102d, 0x1fd0ccd8, 0xc007e4e6, 0x30ac3a40, 0x603e7ff2, 0x57a11f84,
+    0xe1e87735, 0xf1c16c64, 0xb3be42b9, 0x3209e4f6, 0xa18bf8f0, 0x550b7135, 0x30b87dd2, 0xb25b24d3,
+    0xe5369c3a, 0x48db4202, 0x55320a49, 0x4276680c, 0x60708570, 0x5ed015df, 0xe669c37d, 0xd0c47690,
+    0x42c305a1, 0x62444c56, 0x68418370, 0x578587cb, 0x64757146, 0x1efabe3a, 0xbd08c9d6, 0x56c84c68,
+    0x7281beb4, 0x44abac9e, 0x8aa9c19f, 0x38e9c9dc, 0x6f6cccd4, 0x2c6ded24, 0xaf8ae1f0, 0xc687d307,
+    0x984a9366, 0xae03009b, 0x643d7734, 0xd6298c6c, 0xd8efc36b, 0x9fa382b6, 0x62f7ac67, 0x31e3c212,
+    0x8fd00121, 0x85000010, 0xf93127c1, 0x368331b0, 0x791ebf22, 0x56d89ece, 0xa8bbc23a, 0x5af5ad46,
+    0x0e8fa49f, 0x2d6b74d8, 0xe23a1289, 0x2abea284, 0xfb8284b9, 0x3de9d6e4, 0xff25497f, 0x37bf61a8,
+    0x00989f4c, 0x469399c5, 0xd020e5e3, 0xe2eb416e, 0xbd7cc4d4, 0x708410ea, 0xfee329ae, 0x8279f41b,
+    0x5b954e30, 0x5d56ac85, 0xcbbec76c, 0xdf52c949, 0x300c02fd, 0xe6b20a41, 0x9c19d017, 0xba0c392d,
+    0x179a7ef8, 0x1cbb4fb9, 0x87b74115, 0x60368ced, 0x15b434a9, 0x0bc2a776, 0xb1dd674f, 0xc8b5b3ac,
+    0x8654b86a, 0x2fd61ca3, 0x9ac2d3f8, 0x40451f9d, 0x5acbea27, 0xc3115cdc, 0xfbfb2428, 0xd25de545,
+    0x7dced29d, 0x5fc0a664, 0x0260ea33, 0xe15f7306, 0x69b63514, 0x1aed769c, 0xc3e979fe, 0xb58adcc2,
+    0xf2e35dfc, 0x896178fd, 0x939d1bf8, 0x95dabdc7, 0x6f1c87ae, 0x892b84a4, 0xe6cae66a, 0x4e059853,
+    0x2380558e, 0x851fbabf, 0xa1be2f66, 0x0b8c5ae8, 0x9c9d86f7, 0xe6ae30fa, 0x24d80a61, 0x8e7cfc6b,
+    0x9c843a53, 0x9de80221, 0xdb49bb69, 0x42eec3b8, 0xaaf87d50, 0xeb47aa16, 0xbeed1229, 0x7051d700,
+    0x9f6d6281, 0x3fc979b9, 0x08afec5f, 0xab94eb4e, 0x46ed8253, 0x6747d0b2, 0x83d6a3c9, 0x26af068c,
+    0x98b0e5f9, 0x94b870c2, 0x0bc35eee, 0x98e115fe, 0x0cbea833, 0x01bffbb5, 0x1b494470, 0xa2ba92c6,
+    0x012f66d4, 0x40fd444b, 0xde1d57e3, 0x7d5f9687, 0x39d00d6a, 0xbff7eeec, 0xfdd3af73, 0xcdf12bd1,
+    0x1b6acaeb, 0xe449c016, 0x6647281e, 0x2fac3de1, 0x6e9707fc, 0x4029c19c, 0x731fd6b2, 0x4e1acc86,
+    0x6f7b6ce0, 0x435a4d54, 0xdb5e8c21, 0x8f91ae26, 0xf5db43db, 0x402bf851, 0x7853cfba, 0x2a472845,
+    0x9bb65b10, 0x32136fc0, 0x4059aec8, 0x5c361762, 0x530a9fc6, 0x186df318, 0xe9cec8a2, 0x63af759f,
+    0xca2c3229, 0x3fee3a05, 0xb6aa1f23, 0xca5fa891, 0x57664a2b, 0xed020112, 0xc877121a, 0x58a16c06,
+    0xf9a62bd6, 0x4eebb284, 0x1269c64e, 0x6d5af521, 0xd195883a, 0xeb3d2aef, 0xbf0368f5, 0x8206f355,
+    0x01b04e34, 0x79b17724, 0x3f8c7c42, 0xf370fe53, 0xed14a678, 0x092ad31c, 0xeadcc8de, 0x56b97967,
+    0xbda78332, 0x2bdc1d2f, 0x561fd6ff, 0x68c30ccb, 0x33d91743, 0x1f82a22f, 0x8424c110, 0x07044e97,
+    0x9a83c15a, 0x15dd046b, 0x45602409, 0xbf3f539e, 0xe495898f, 0x8ddc3315, 0xe08f4d1c, 0x573f707a,
+    0x23f7e480, 0x7bdbc9b0, 0x411d56fb, 0x8338ae4f, 0xc050cfb3, 0xb77a8cbc, 0x901332a1, 0x7689fedd,
+    0xcbdc4545, 0xd1acec5c, 0x576d0545, 0x518cc381, 0xdecc23c0, 0x95237895, 0xd2d827fe, 0x7d61abcf,
+    0xd84aa864, 0xa1910ab9, 0x15763c0a, 0xdb7e552f, 0x598403e8, 0x1f7b3439, 0x1bf614c4, 0xe6c4c4c4,
+    0xfbd75a4a, 0x714c253b, 0x2bf2bf9b, 0x4825945c, 0x667a167f, 0xca053082, 0x2e1aa9d2, 0xe44a7bc8,
+    0xd65b2df7, 0x4ac21043, 0xbd7879ba, 0xf8828265, 0x82cb380c, 0x24e893a9, 0x72f0fa10, 0x3d28649f,
+    0x5c3b9514, 0xaf72f815, 0xf7622bf6, 0xbbb15131, 0x4e92beb0, 0xb687848a, 0x996e2762, 0x32e31c57,
+    0xa5008244, 0x209089c6, 0x004c347c, 0xc1bf460b, 0x3fe7c2d1, 0xd7cf9996, 0x50d392b1, 0xdc874655,
+    0x00000000,
+    0xcb0f6864, 0xfffffe56, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000549755813888 */
+  { 0x00000000,
+    0x43b04fe6, 0x8f764392, 0x78b06f6a, 0x8bce6f29, 0xc3c1a7ac, 0xe70bec72, 0x247e4b60, 0xc9bbbea8,
+    0x513924db, 0x8edd33a9, 0xcadc55eb, 0x14485ca6, 0xf028b31b, 0x1f579825, 0x01c8ad3b, 0xed8fff80,
+    0xaf4d3e3d, 0x3db35a3e, 0x99b50725, 0x54f19c78, 0x0bed6acb, 0x5c152bbe, 0xd9160dc3, 0x68a8a3c1,
+    0x9931ef33, 0xcf4f177f, 0x75bf127a, 0x484e2cb5, 0x2ca2f737, 0xc2dc4014, 0x4326affd, 0x1af70831,
+    0xab9d37fc, 0x714003ce, 0xb52accf9, 0xbab9adb7, 0x997c0ba9, 0xc348903f, 0x82edcb5b, 0x590c19ed,
+    0x7f7285e3, 0x96b02c93, 0x0a749a78, 0x757d2503, 0xde2d0d88, 0xda9753da, 0xc1113abf, 0x4941539c,
+    0x1bd23a80, 0xd650cdcf, 0x9318402c, 0xfa74f286, 0xe23c3bed, 0x4b8abfc9, 0x5179a45f, 0x51130b00,
+    0xbdb9acf2, 0x78e80bdd, 0x9d53e98f, 0xf16ffa72, 0x4c0f70de, 0x5acedf77, 0x17535600, 0xac3b0ebf,
+    0xe3e4f45e, 0xa313abc4, 0xa79d2bff, 0x843c5569, 0x8e5e5eb3, 0x45798926, 0x9991480b, 0xa0154bbe,
+    0x73c4ca8a, 0xf39cd488, 0xb60ea556, 0x01aa4be7, 0x7c26d575, 0x3b070412, 0xe5b7b229, 0x1c63ea7e,
+    0x5cdea527, 0x348ed347, 0x6ff4a376, 0x602151a9, 0xa611bd73, 0xde1ff30f, 0x245e2a5e, 0x8a7e2daf,
+    0xf5cd8504, 0x46181641, 0xdc1e201a, 0x5d65aaed, 0x5a8600ff, 0x5a112a4c, 0x37a33c6f, 0xc25898d2,
+    0xcd957204, 0xd23e15c3, 0xf5975069, 0x54adace2, 0x8eb3e679, 0x5ed3f81f, 0x88f84cda, 0x143eeb1a,
+    0x1d168f07, 0x29cd2dbc, 0xcb0b7d6a, 0xc8e1258e, 0xfe0798e7, 0x093cefbc, 0x4b76deea, 0x06061902,
+    0x0e47aa06, 0x75856e32, 0xdb8cc180, 0x31a5bc48, 0xe5dd6ac4, 0x946becf6, 0xeb70ea7d, 0x477961a9,
+    0x1d3bd721, 0x2746ac4f, 0xba40aeaa, 0x1526e375, 0x3bd8878a, 0x32b112e4, 0xf5ab9a36, 0x5ef0da08,
+    0xac326abc, 0xd805352f, 0x386ddaf9, 0x6987bfce, 0x37439875, 0x3c8e2035, 0x846605e3, 0xa507d794,
+    0x3180d5f0, 0xd32f81c4, 0x43860b52, 0x6375ab1e, 0x34331301, 0xe13971c1, 0x36f20267, 0x374b137d,
+    0x5cdc0f5b, 0x44467068, 0xce6767de, 0xdd11b7b6, 0x2d306c5c, 0xbe644992, 0xbd224870, 0xba8349b9,
+    0xf1d6becd, 0xdf800ac3, 0xd7de4106, 0xebf21af0, 0xf85df87f, 0x0444cec9, 0xf4a2bbb5, 0x8d028010,
+    0x1596ea36, 0x6014fa4e, 0x57bfb35b, 0xa3b84bc1, 0x37f8c638, 0x7609dd98, 0x2d17e307, 0xcdc15a5c,
+    0xd8daa620, 0xe284c81a, 0x2f5427dc, 0x9255e72b, 0x6927da24, 0x376a0940, 0xb1f052ea, 0x54814ab8,
+    0x11498990, 0x92be4ed4, 0x65dda160, 0x459de73b, 0x7bcc2721, 0xfdeccf9f, 0xb8859915, 0xec172c7f,
+    0x4408d58a, 0xcc5fb8c1, 0xdbb98e28, 0x548aad15, 0x714829fa, 0x78c9021c, 0x12f7056f, 0x9360daf7,
+    0x438e3dd0, 0x4a02d425, 0xbad946fe, 0x4c36d4c1, 0x94e3844e, 0xfe1f8917, 0xa6b11e5f, 0xe7c51a5a,
+    0x2bd8234f, 0xc82c7a0b, 0xd785a171, 0xa79ac705, 0x0188dd7b, 0x5d34d828, 0x31c88630, 0x228570e2,
+    0xe478e7db, 0x54148d53, 0x713f244a, 0xd369cbd1, 0xc3470e3c, 0xcc14340e, 0x0cf54241, 0x7681546c,
+    0xe8ba22e1, 0xd5498827, 0x8cab031f, 0x62ee205c, 0x2e89a394, 0x113d27c4, 0x6de189fa, 0x132a43fc,
+    0x34873fb6, 0x4ef3d26b, 0xd7764339, 0xa71550da, 0xa177a3b8, 0x0a3f0d10, 0x35a7cf9e, 0x6ef27504,
+    0xffa8c093, 0xebf5d573, 0x86828a03, 0xe1cd2cff, 0x25703e39, 0x47f9fdaa, 0xd94eeaac, 0xaa785ae8,
+    0x31bc6900, 0xd339aa26, 0xdfec4bb8, 0x31b977a6, 0x8b86245b, 0x738c2765, 0x91a5b223, 0xafdb2748,
+    0x5d1d99cf, 0x18096fed, 0x04eee454, 0x6e681b94, 0xbe3fae15, 0x57a31864, 0xb1e71467, 0x4417fb4f,
+    0x40aeec8e, 0xa55fda5f, 0x43e988ed, 0xb9981df3, 0x8f7af317, 0xf49e0e05, 0xe0609ce4, 0x9773e596,
+    0x3dc2ca1e, 0x7176ef1b, 0x70b075c9, 0x2b430ed1, 0xf9f18973, 0x7c2baf60, 0xc9650b0b, 0x504d596c,
+    0xb16af603, 0xa7fc2e16, 0x2a2934ac, 0xe4c72e1e, 0x30a93c3f, 0x8dba1451, 0x450dd440, 0x417f87a1,
+    0x79086da1, 0x387495c8, 0x088e0f80, 0xaf242c40, 0xf5ebb389, 0x4968bae6, 0x422cedb1, 0x11394be0,
+    0xf30e1001, 0x202ae7f9, 0xf56b47db, 0xa6eaae60, 0x47f3c96a, 0xb5651004, 0x90054f53, 0x5742dc30,
+    0x9ac93049, 0x50ee272b, 0x49bbdee1, 0xe5dacb60, 0x4e9912bf, 0x3bfd8b20, 0x5cfbd3a5, 0x792b8ead,
+    0xc0a2d5c7, 0xf9ba706a, 0x3c0709b5, 0xa74cda9f, 0xddb96404, 0xb565a0e1, 0x5cf5c21c, 0x739087c7,
+    0x5b0f59af, 0x1353090f, 0xc16820e2, 0xaa5b455c, 0x81835e4f, 0x2e01db46, 0x77794474, 0x1bbbf8f3,
+    0x7f1ca51f, 0x06f120c1, 0x8f36529c, 0x0e11aa40, 0xa95d55c1, 0xb740e1da, 0x5107d638, 0x1e78eb56,
+    0x38caff6c, 0xacb4c4c4, 0x49d9aed5, 0x7e325e23, 0x9e3b4a3d, 0xcee2beca, 0xb9cd9524, 0x18c25f4d,
+    0xfc0f202e, 0x2bd50c71, 0xe3d62142, 0x013caf76, 0x26b89dbe, 0x34dc008e, 0xd07264d7, 0xe209c117,
+    0x485a22ee, 0xfe75a982, 0xab843ce0, 0x1057ff0b, 0xc39c5029, 0xf0d85bbe, 0xc3547b92, 0x020fcb96,
+    0xddc04fc2, 0x827e27dd, 0x27261c3d, 0xa15a9d66, 0x9a962a22, 0xdb397fc2, 0x30a74d02, 0x1bbf1a4c,
+    0x28dd7a31, 0x3f4eefa0, 0xdc94d7b3, 0x978fe13a, 0xc3367251, 0x8861c935, 0x7ff3c624, 0xbcbca700,
+    0xf0906c15, 0xc42fa984, 0x9f34eb12, 0x90cad2ae, 0xd7803532, 0xac7a2dc4, 0x09a63c67, 0x0e65353b,
+    0xc3372f68, 0xdf535168, 0xfa2ec7e1, 0x832649ab, 0xe24bd604, 0x7c6621f7, 0x471ee0fc, 0x9e31d2d8,
+    0x2ca4306f, 0x702a31bc, 0xb6671d6a, 0xe5081462, 0x680b2291, 0xc5c6fa81, 0x528b901c, 0x7c2800fa,
+    0x519d7e54, 0x56015d16, 0xfe8376bd, 0x7bad104e, 0x833d4ca4, 0xac397ab1, 0x7d4f1546, 0xc6f99800,
+    0xb846d700, 0x7a224228, 0x2264d291, 0x0459b606, 0xb61a0630, 0xd31ae19c, 0xdb7633d1, 0x5f26a4b5,
+    0xa433926f, 0x2868f7fd, 0x5b12ef74, 0xbe66beb8, 0x3315347d, 0xb8de67d6, 0x4ff6b827, 0x08ab73db,
+    0x760350c7, 0x632ffc00, 0xf36bfa4e, 0x744305d6, 0x45fb3ae9, 0x35eb044b, 0xf6a2342f, 0x526b7954,
+    0xc1d9c68a, 0x55527251, 0xe741e9fd, 0xc781e0cc, 0xbcd76f23, 0x3702a307, 0x14ad546d, 0x4ce71e68,
+    0x218600f6, 0x101eb57e, 0x9139ed23, 0xbd40cc21, 0x69781c32, 0x5a5136f9, 0xfcc82e61, 0x583e44dc,
+    0x5553bbb5, 0x510282d7, 0xfc4edbe3, 0xcbda3d01, 0x018a5dda, 0x54d0fa4d, 0x2d74ccf1, 0x5ad523ba,
+    0xb8c08f85, 0x5a75d992, 0xce58034a, 0x36a06052, 0xe8717ec1, 0xe5c5f802, 0xe5e243d7, 0x41b22c0d,
+    0x6c4673d5, 0x451d404c, 0x77512ff1, 0x06d92dcb, 0x5aee097b, 0x092b0fb3, 0x8c2fd81c, 0xdc90ee1c,
+    0x994a2d6c, 0xad78ed1a, 0x6ff9783d, 0x19a3dc3c, 0x1c69428e, 0x42ba22b1, 0xd72e75f2, 0x5a4e4950,
+    0xcddb2fb1, 0xedb201ce, 0x16182c8e, 0xea8a22d2, 0x79be1aed, 0xa3fbedce, 0x73266ee0, 0x0be12fbe,
+    0xdc615dcd, 0x16b054b7, 0x8e0821f4, 0x9877d40e, 0xc127802d, 0xe8bfb9ab, 0xa4c44496, 0x40791683,
+    0x2cb9533e, 0x97e8bbc6, 0x9dba9ead, 0x68a3f407, 0x44815d74, 0xfe7477bb, 0x57582d46, 0x380d7b11,
+    0x001290f5, 0xcf26e1dc, 0x58a409e9, 0x2b9b0f94, 0xaaf38969, 0x3b94caa9, 0xb1b83e80, 0x57b928a4,
+    0x51c82ec6, 0x1d914c70, 0x4ce0ae43, 0x2e603807, 0x518f6cb0, 0x6aff9d05, 0x2238c415, 0xdc4ae15a,
+    0x76a367f9, 0x995f4011, 0x89eed616, 0xf8614348, 0x71800a2b, 0x72d02fb7, 0x2a38efa1, 0xd1441c4a,
+    0x36c731bb, 0xece17d07, 0xf75d44b6, 0x9b05b053, 0x957100fd, 0x618a12b6, 0x7de4939a, 0xebe0a74e,
+    0x82e60641, 0x0ed4d87b, 0xa1484067, 0x096df8f1, 0x2582ef77, 0x4f89b698, 0x23987e22, 0xf441711f,
+    0xa78d800a, 0x28b42b9c, 0x61a0a6ea, 0x7b5d3fb6, 0x3f835441, 0xe4427c79, 0x9b96c232, 0x87cf9599,
+    0x614945bd, 0x364a476d, 0xa62f20a7, 0x5587d0bd, 0xf560a752, 0x67d5ab8b, 0xd03460f7, 0x7793f768,
+    0x1fab4c80, 0x88f3935b, 0xe7e49a89, 0xd5766b4e, 0x76cd62f5, 0x0878a2e6, 0x774f3e34, 0xeed6c843,
+    0x4549319b, 0x829edad6, 0x91b5cd7d, 0x6774ce9d, 0xa668e9b3, 0x0a8e2cc5, 0x763e423b, 0x274a765c,
+    0xb213f74e, 0x4b67e5e7, 0xf3e12926, 0x7d1e790a, 0x12d52360, 0xdf1ecb50, 0x86d29a7a, 0xb3711b73,
+    0x5898f523, 0x027088d8, 0xbc8c95e3, 0x22c5b200, 0x08b10cb0, 0x73a7f9b8, 0x8b6a82ec, 0xbf40f18e,
+    0x71e53820, 0x828d6fe8, 0xfbe3da44, 0xd374ca3c, 0xcb09da3f, 0x71da4ca2, 0x4049ba5d, 0x01eba0e9,
+    0xaf772a19, 0x7cbcfd06, 0x1d8659d1, 0xd326a200, 0x27673788, 0x32fa71a4, 0xf6a13144, 0x9b13bbde,
+    0xd976f146, 0xe89ab8a8, 0x6b0aa2f0, 0x87cfa25b, 0x3ab0e91c, 0x0532ff90, 0xc2b77460, 0xbe304ab4,
+    0xb93399f9, 0x9b694eea, 0x107fe6ed, 0x452eeaad, 0xa5ba7e8b, 0x955709cc, 0x94b57ad7, 0xa242bc89,
+    0xa98a83bc, 0x6a1a89b6, 0x9a3a155d, 0x19a756cf, 0x342a33ef, 0x7fb64ef7, 0x5097ac75, 0xabbafab4,
+    0x1267e6ee, 0xaa78a8b9, 0xdecebbc8, 0xdeea2fe8, 0xc6139fa0, 0x1b7bba5a, 0xaee062fc, 0xa3c070c3,
+    0x1134ce50, 0x4f0db931, 0x9938db15, 0xec8e1a47, 0x717852a9, 0x27f5e9dc, 0x41b00797, 0xab0e9b19,
+    0x1406e5a9, 0xd92b1d28, 0xf59c9a69, 0x70bdfe5b, 0x108efca9, 0x93a7e7ec, 0x8fe1b909, 0xffd3cd25,
+    0x9733a82d, 0x9fb10fde, 0x27068cc8, 0x7d4d08ca, 0x024fcfba, 0x296782db, 0x2332986f, 0x69ea0084,
+    0x5f6825c9, 0x2e9a2d70, 0x44ced962, 0x83e27a7b, 0xe12a3a6b, 0xc87e10bf, 0xaa248791, 0x36802ee3,
+    0xe2988354, 0x6e55ea45, 0xa2ff1e0d, 0xfa54e604, 0xef9b58dd, 0x4cefa32b, 0x02e47cb0, 0x95e9d6cc,
+    0x188ea317, 0x236515f9, 0xa8feb863, 0x7520832e, 0xb7264068, 0x8ff85905, 0xaff36c91, 0x1bb0adf5,
+    0x56d35a91, 0xea059149, 0x9da66946, 0x81682220, 0x77462032, 0xd3a8de24, 0xa9c347b0, 0x44f28239,
+    0xf55611af, 0x796f9e3f, 0x168d855a, 0xb8ef0d80, 0x615fe20f, 0x5cd83fbf, 0x5aedc4fb, 0xd381cf80,
+    0x23cce180, 0x3b026088, 0x597b5d01, 0x7f845710, 0x160cf32a, 0x6ea7f10d, 0x94458547, 0xf1d15e8a,
+    0xcef0d5cb, 0xb2d482cb, 0xbd916e6b, 0xe21c91c8, 0x540b2b66, 0xab6369b1, 0x23b9aa7f, 0x53379f59,
+    0xbf48377d, 0x9be3d84a, 0xd14c3c34, 0xacfeedeb, 0xeb7ff098, 0xeb4d0d8a, 0xa34ddae7, 0x888a7967,
+    0x0e8fecaf, 0xead9a317, 0x91f52b7b, 0xb223c6bb, 0x3ed53a43, 0x593dc1ae, 0x0703c45e, 0x247ca9f9,
+    0x9adfb481, 0xe3de6da0, 0xdc42a067, 0x45c0314c, 0x15be57e8, 0x42927815, 0xfa9df1ba, 0xdea37866,
+    0x30d9faa0, 0x381d2e02, 0xecd5bc63, 0x76647ff3, 0x475715d8, 0xd13d7adc, 0x049b172b, 0x6476614e,
+    0x0b1a181d, 0x9b20483e, 0x0674d7de, 0x1cf86adb, 0x9cee37f4, 0x3f8b7d21, 0xf32767c2, 0xa946fe94,
+    0x289f11de, 0x7698c0df, 0x790b1491, 0x00e5c957, 0x8a5b1db2, 0x52432f2b, 0x5617011e, 0x28af7f75,
+    0xbd04424b, 0xb6a131f1, 0x5dfe6c53, 0x7857c524, 0x9db7d79d, 0xe1b34617, 0x90f8cccb, 0xe2ce29c5,
+    0x53aeeccb, 0x11658b25, 0x1be99f2f, 0x39b761da, 0x21820899, 0x3314c6e1, 0x88651476, 0xe4c64298,
+    0x0d7781e9, 0x28b24505, 0x0e7ceba4, 0x837d966c, 0xa7fa14b5, 0x93c15e33, 0x39647ba4, 0x51e97d75,
+    0xbcf3eaf4, 0x495062d2, 0x07a2375f, 0x0aa3afd7, 0xcdb59daa, 0x5a1e39c5, 0x3c092460, 0x3bd7bcb1,
+    0xff77bc99, 0x6f5e0d6b, 0x740a2c5b, 0x03ae453e, 0xdd29d8eb, 0x517eaa08, 0x9bf7d588, 0x3c6d150d,
+    0xc174e905, 0xb79a7b61, 0xaaf97956, 0xe2ae0607, 0x995fc9d5, 0x1f50be30, 0x1cc6f548, 0x41d7acf2,
+    0x3d746204, 0xf37f79f2, 0xad455667, 0x58621677, 0xb710fafb, 0xe9e3d25b, 0x5d353034, 0x29591d2a,
+    0xa37abdd9, 0xd45862da, 0xf9c38fb4, 0x2124c02e, 0xc4384776, 0x4350d3a1, 0x1b696db4, 0x6aecae50,
+    0x247b3f1c, 0x672b1a0b, 0x01794e14, 0x93ad1edf, 0x8fe55f04, 0x7f8f042b, 0x3087c689, 0xd2ee6324,
+    0x0791dd49, 0xad2918b4, 0x5e93f8a3, 0xde886b40, 0x34494d37, 0x55765eb2, 0x9b254eef, 0x2c19f774,
+    0x489ceb35, 0x7889e671, 0xcdabffb2, 0x7a714a6e, 0x4c221b66, 0xde7ee6d0, 0xbe8acb61, 0x1bdfa4f7,
+    0x1145806c, 0x29590ab0, 0xc89d46b4, 0x5663e69f, 0x2842ab0a, 0x0cc9a53f, 0x05aa4322, 0xd6eb10c9,
+    0x5c37d708, 0xcf6af9d4, 0xf340cffc, 0x5a9c3830, 0x5de200e1, 0xb5a29655, 0x15cd2c03, 0x9edaacd9,
+    0x6f87b992, 0x08f906f6, 0x54b561d2, 0xb79b2682, 0x6b6efd13, 0xeb26d795, 0x3f3bbcaf, 0x42d4c7fc,
+    0x721e09a3, 0x7cd3d538, 0x73beee9b, 0xef437a41, 0xb1a75ec9, 0x31991b05, 0x658dab00, 0x4e3b22f0,
+    0xe9196c25, 0x8cd0c8c2, 0xacb42243, 0xf89686ef, 0xdd51cd75, 0x6f6c30b6, 0x1e77e20d, 0xa11ee574,
+    0x8f4aa5ab, 0x490e3f50, 0xbcd2801c, 0x3b77eb17, 0x6945a7a2, 0xd42a0cd3, 0x97e74dc1, 0x5be5b02a,
+    0x3aa4de3d, 0xc8b72c8d, 0x78f147e3, 0x67489f27, 0x1f594f2a, 0x7e793fc8, 0xe440a6b7, 0x789af545,
+    0xfe9cc44d, 0x671d7ce8, 0x2ff1d890, 0xce261989, 0xc95cce91, 0x9e5072ee, 0xd930a057, 0x82fe1f50,
+    0x9f2f2377, 0xc0697520, 0xc449e659, 0x214f8dfb, 0xfa25fa31, 0x8974346b, 0xb637e1f7, 0x49487b1f,
+    0x1feca427, 0x9286add7, 0x9fd20736, 0x8337ad45, 0xc876d2e0, 0x7652becc, 0x11a71d02, 0x68d9a13b,
+    0x76eeffa3, 0xa006ca51, 0x5ac460b4, 0x7821c6dd, 0xa3df657e, 0x630a90da, 0x55993037, 0x7be0f5f2,
+    0x67823bab, 0xfc7e673b, 0xd8bb97fe, 0xe76a3039, 0x5cbfc139, 0xc415e6cc, 0xf8bb5693, 0xee80bb57,
+    0x7dcfe242, 0xc7be7488, 0x6af39431, 0x09d96411, 0x719459fc, 0x80e0f26b, 0x66566434, 0x4680b9ac,
+    0x7574e1e1, 0x7d744abe, 0x86e87ad6, 0x4891fdcc, 0xed05d8d8, 0xce99b089, 0x1208e2be, 0x55f8e066,
+    0x61b776cd, 0xa489ebcc, 0x08356f96, 0xc30f6e12, 0x8845b850, 0x9ba6a860, 0x21c92351, 0x878c9662,
+    0xc146cd5b, 0x3eebc9b4, 0xe0d86596, 0xaa4adf59, 0x2126b68a, 0xc6a96b1a, 0x3c0a471e, 0x050e9204,
+    0xb42d4a5a, 0x677adf17, 0x98432b4e, 0x712bc958, 0xdb0b8623, 0xfbe813ce, 0x0b6fed9e, 0x3b44c2a9,
+    0x49e517e7, 0xb069d6d0, 0x68100fe9, 0x24999665, 0x224816e2, 0x11d63cb4, 0xc35d337c, 0x61055aa9,
+    0x87c58be7, 0x1530a74d, 0x8f1ff2cd, 0x72351b68, 0x30c8f253, 0x2db7e35e, 0x9fa36c47, 0xfe991a72,
+    0x4709288c, 0xafbdaed4, 0x56cb3514, 0xa75414e4, 0x12110eec, 0x0729cefa, 0x015ba4e4, 0xed9a6a80,
+    0x00000000,
+    0x6587b431, 0xffffff2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000274877906944 */
+  { 0x00000000,
+    0x22328ec6, 0x223f4c78, 0xa5ca5b0d, 0x9e89a3f3, 0xb6df547c, 0xe976b82e, 0xe1692f91, 0x9573f480,
+    0x4baee3af, 0xff45a70d, 0x497e3a94, 0xa8906293, 0x888d660c, 0xbf679593, 0x1d6b4075, 0xfef8fe8e,
+    0x0954201e, 0xbeaa539f, 0x0c09abef, 0xeaba0cb2, 0x5e67e92f, 0x1d6abe53, 0xabe21492, 0x207f93e1,
+    0x3d29cd52, 0x220b5cc2, 0xb6b8770b, 0xaf2f1588, 0xceb9caa0, 0x17fb251b, 0xbc7bddf6, 0xe71f4909,
+    0xc60fb49a, 0x9d166cca, 0xb951a160, 0x02a5ad4b, 0xc8f3ad22, 0xbc72fbe7, 0x3391d6cf, 0x06b3fca4,
+    0x30aab5cd, 0xdfe5c8db, 0xef9c551e, 0xacb7144c, 0x0b3442a5, 0xe519cd1c, 0x04b12268, 0x042ce9b3,
+    0x06148491, 0xe4ea15bf, 0x13b7c533, 0xfbf3daea, 0xe66e35fe, 0x466e2112, 0x4e1ac8f8, 0xfe4d10f3,
+    0x397b2a37, 0x068afe00, 0x8b2e5737, 0x2878d8d3, 0x816e753b, 0x71045a8a, 0xeac55dcd, 0x2d40e4c5,
+    0xf4e88630, 0x30d37d48, 0xdcfebbd4, 0x60251a97, 0x8cbaad28, 0x267f3065, 0xf89aec86, 0x4a6ace00,
+    0x48cb738e, 0xaea04709, 0x89020c5f, 0x32da45db, 0x06f5af81, 0x9d522946, 0x0f7eb75e, 0x29245ca7,
+    0x3a176cba, 0x444e43b5, 0xf19acac0, 0xfc970ee6, 0xd4ef8519, 0xa761da42, 0x5adfaaaa, 0x7a57c7bb,
+    0xabe0a17a, 0x4b9c3bd2, 0x380112b4, 0x47d18772, 0x18faee68, 0x734bae98, 0x91311f27, 0x227bc5f1,
+    0x8eebfde4, 0xf63f5e55, 0x0efc9f8a, 0x71499eeb, 0xf19d75d0, 0x354b60c3, 0x08238716, 0x78209d77,
+    0xeabe8ba1, 0xc73d59fb, 0x55cc9b5a, 0x252f9bdd, 0x3547add5, 0x758c877d, 0xf12ac2af, 0xbe7366fc,
+    0x1e45bd92, 0x0417987e, 0x8903abcc, 0x5a66184e, 0x15d7a64e, 0x9088c902, 0xfe0df3ad, 0x50f40035,
+    0x009a4762, 0x899afaf9, 0x2b8bcf1e, 0x809806df, 0x630499c6, 0x433743c0, 0xc514e576, 0x7620fb8c,
+    0x04a720e2, 0xdf744b0f, 0x26f6f4a5, 0xaab67f37, 0xfeee9b99, 0x0bf24308, 0x3c4dbb2e, 0xf864607c,
+    0x64954c50, 0xec45c255, 0xadc885a7, 0x661f8e99, 0x034dea34, 0xfc4d82da, 0xc8b793cc, 0x90f106c5,
+    0x8acb9705, 0x4bea90a6, 0x0dfb64dc, 0x1bccabd0, 0x41e70f06, 0x18ff141f, 0x9d9cc2f2, 0xec8d013b,
+    0xa99625c4, 0xf6ed3520, 0x981542a3, 0xe346a88b, 0x9c0fb374, 0xa7753ad7, 0xe23b9742, 0x3f95084c,
+    0xdeb0ac1a, 0x268d52fe, 0x0966f9f4, 0xe01672d3, 0xd062cfd5, 0xcdd805c9, 0x78476763, 0x9c38bed3,
+    0x48f6cc4b, 0x608f1633, 0x36f02f08, 0x17fa8147, 0xfbb33105, 0xeed4a38e, 0x5b917259, 0x3e3e73b3,
+    0x09a8233a, 0x765117ff, 0x9c942580, 0x39bf7d03, 0x958e71fb, 0xb52ff26c, 0x12ae10f6, 0x615c070e,
+    0x85b97a6f, 0xb5472e90, 0x90ee68bb, 0xce847173, 0x91eeead2, 0x3c9825de, 0xae48adfb, 0x495918b2,
+    0x4a813845, 0xe93b5df8, 0xa1a8b0a7, 0x522c0eb1, 0x8a3730c6, 0xdd2f0c7b, 0x0e0ab189, 0xfff451e6,
+    0xd129f44b, 0x75587327, 0x3e6443fc, 0x39c99d5e, 0xb25b7854, 0xead2bd2d, 0xc59c23f5, 0x200c6a03,
+    0xf49cec1c, 0xfee2e53b, 0x722d71d1, 0x8746889f, 0x720f0abf, 0xf77a4dff, 0x1ba0c0a3, 0x1f36c71c,
+    0x92211bac, 0x89eac73a, 0x096a1c5d, 0xb5ae9246, 0xd7166397, 0xb7c90785, 0x3c47ac82, 0xe93851cd,
+    0x10b4f946, 0xf41696ae, 0xdbb5e6d7, 0xb69d3064, 0x49a2de83, 0x4bc7ecde, 0x3c615cc6, 0xa07c651b,
+    0xab660ed2, 0x017eea8f, 0xbe452bcc, 0x98700e3e, 0x62b8f5bb, 0x707daf8f, 0xcb233e84, 0xaf67016e,
+    0xbf1e3f5a, 0x958c925b, 0x4ff42b08, 0xc98325c1, 0xf321c0f9, 0x20c248d3, 0x9dc196ea, 0x9c80f4a8,
+    0xf17c899d, 0xf708044e, 0x1d729c53, 0x38896ea1, 0x15efd5fb, 0xb8aeb3eb, 0x04250892, 0x8cfe4f01,
+    0x0ff76aca, 0x5a08b8dc, 0x6250fec5, 0xcd8c7aec, 0xe5d9c0b8, 0xa8c5ceed, 0x58eb1b57, 0x31b12ec0,
+    0x002feeca, 0xb3b9747c, 0x110927e2, 0xdf74925c, 0x4f80ce75, 0xb8654cb3, 0x6b7ab32b, 0x50e6b2a9,
+    0xf1e97832, 0x24e7230f, 0x9d4b735d, 0xfd14cfe1, 0x91928a04, 0x977c02c6, 0x847db737, 0xc3bbfe95,
+    0x4448df86, 0x2b05e782, 0x07dec34d, 0xc5fdc83c, 0xe5c8105b, 0xfb88e725, 0x86c93d4d, 0x5a62996c,
+    0x8b094045, 0xe3af7961, 0x098dcc93, 0xba33755c, 0x5f82b22f, 0x3dbfe0e7, 0xff9ef7c7, 0x78f1ed9b,
+    0x0818c368, 0x63452505, 0x5c3760ae, 0x2993d65f, 0xff5bfb68, 0x0d71a321, 0x97403c01, 0x5c6615f2,
+    0xd3338473, 0x845e10e5, 0xd39af23a, 0xfd8435e3, 0xa8c4376d, 0x7b48d6e2, 0xdf5ef820, 0x65a66ad8,
+    0x8f1dbc8c, 0x12c475a5, 0x27eabecc, 0xfac9dbd6, 0xa2dd0743, 0x7aa7cb48, 0x598346b2, 0x25c2b977,
+    0x21ef2426, 0xff5c2bd4, 0x43dc1f93, 0x7bfd211f, 0x325be85d, 0x5fa86a9a, 0x2f6c261a, 0xe7c58ae4,
+    0x44da2898, 0xd688b12d, 0xaa285ce4, 0xc0890fd3, 0xa1749867, 0x837fa8f6, 0x5b985d79, 0x3638e202,
+    0x7e33b949, 0xc1d29577, 0x4fde050d, 0xbfdd576e, 0xa4a0f17d, 0x74439cf8, 0x918f1cc2, 0x719d7d8c,
+    0xb00c8131, 0xec80ae35, 0x4122b5a8, 0xa731fdce, 0xcf17eb47, 0x0c3375ce, 0x7f47e082, 0x88d0a9ec,
+    0x781dd095, 0x8c9e76d7, 0xe03d47d9, 0xeccbc5c3, 0x338f2e2a, 0xa780bec5, 0x3f275fea, 0x8db2ae29,
+    0x0dc9471b, 0x7d6e97f5, 0xbc2e36ac, 0x17e73740, 0x03295e5f, 0x1d19c1fa, 0xf66c6120, 0xd7d77089,
+    0x938d8908, 0xc5ee77d1, 0x2f3fe404, 0x16994aef, 0xb84f7ead, 0x11bc6e27, 0x804a6333, 0x18d89411,
+    0x3e7bf722, 0x0b8f71e7, 0xbeb859a4, 0x8794b2d7, 0x60a73e2e, 0xe944b8bd, 0xd4b08c96, 0x49ba7d4e,
+    0x3bade260, 0x5bf53ec7, 0x6d5124bb, 0x5d87af1b, 0xf4233ed6, 0x2b83d2f5, 0xb19dcfbb, 0x66fd8bea,
+    0x2db2b330, 0x28579273, 0xb339a770, 0x92f332b3, 0x6872cdd1, 0xe25ef6f6, 0xe99c2b31, 0xe33bfdd4,
+    0x97e09e89, 0xcacb5713, 0x8b4cc139, 0xd99ef8fc, 0x4716ee4f, 0xd1da3204, 0x4e4e1e3a, 0x69a954f8,
+    0x61ece0b2, 0x6bb71b7e, 0x552fb32d, 0x5b23c0cd, 0x344f848d, 0x5f5394a2, 0x3267bc99, 0xffbbe3b0,
+    0x49a494a1, 0xd15f47de, 0xf6613bfb, 0x77b1953e, 0x964915e1, 0xd64b8cc1, 0x1b311c59, 0x0c3cb676,
+    0x301e003f, 0xaefa6d49, 0x449910fc, 0x07f8087a, 0x07a2b29c, 0xd4b135c5, 0x80b7a2c6, 0x10cd80ca,
+    0xf30612a1, 0xdfdec304, 0xf5ca92bd, 0xfad09606, 0x7e7ab5a8, 0xe550c0ae, 0xb73d062b, 0x9d38bd30,
+    0x22984466, 0x47c25d96, 0x4b961027, 0xede0032b, 0xd1ed99ca, 0x2fbf5168, 0xc33671ac, 0xf71326d7,
+    0xe0b77144, 0xb43a62c9, 0xc0a5da43, 0xaca0b4f2, 0x422d6915, 0x8b35906c, 0xb7a552fe, 0x488d1220,
+    0xbba54686, 0xc4008b57, 0xc5f580cb, 0x56f54942, 0x00c2bbd1, 0xa3b6682d, 0x9fecd02c, 0xfac49a34,
+    0x518a74aa, 0x1a4e084d, 0xd9eb7778, 0x50991201, 0xe353bf2d, 0x3b574e23, 0xba5183f3, 0x1efc6d54,
+    0x9b37d47d, 0x132900db, 0xdb05cf5e, 0x71fcd292, 0xbeb0c63e, 0x5c01b56e, 0x5ccc8061, 0x430ad6e6,
+    0xba62b780, 0xc23abeb6, 0xf47334d2, 0x738f861b, 0xaeea280d, 0x6c519ae4, 0x14a97a1e, 0xab103283,
+    0x87be1fbc, 0x0d6d1623, 0x4e512691, 0xffb579fc, 0x7bb1a6ee, 0xe3453308, 0x97e6db7a, 0x1f91d055,
+    0x625ab78c, 0xf2483805, 0x6e2fda8a, 0x02781d84, 0x90246aa0, 0xa618c26f, 0x9a843c9b, 0x0ee4f85e,
+    0x9bac0a29, 0x771c432c, 0x4ac8c390, 0xd239b5b5, 0xd2693ad2, 0x1e328e3d, 0xe310f63f, 0x48e47fd3,
+    0x1883727e, 0xb30243f2, 0xc4690db5, 0xeebeb443, 0x622bbfe5, 0x526dcf7b, 0xf179b5dc, 0x03436a19,
+    0x9b4ad48f, 0x32068b27, 0xb5b37113, 0xc21e2f7f, 0xbf54227d, 0x5544dd0a, 0x062c69fb, 0xe0bc6e92,
+    0x2295da43, 0xfb36ffa9, 0x438c92a1, 0xd1f5ba97, 0xff1d8217, 0xc7290fc7, 0xe373ef5e, 0x16dfb6f9,
+    0x6b0447be, 0x8c8de476, 0x0e60de64, 0x287b3167, 0x6000e3da, 0xf4ba0aae, 0xfd53e7c5, 0xbbc35d26,
+    0xd8bf0091, 0xde49793c, 0x287a5a04, 0x3c18fc77, 0x0f931fe9, 0x7b4acb6b, 0x30d6134c, 0xc5f7f200,
+    0x58748eaf, 0xecb1e4f5, 0x4cf30915, 0xf50bb9f9, 0xb7d32f98, 0x094d10fa, 0x19812f4c, 0xdbe887a7,
+    0x0b7807dc, 0x2062bc8d, 0xce8ff50e, 0xc51c548b, 0x24456936, 0x4cf0f95a, 0xe2c2dc93, 0x1ff54b53,
+    0x3fa2653e, 0x23d56488, 0x8fb979ff, 0x98a98714, 0x9fe4dce3, 0xc99c26a6, 0xfc5d72dd, 0x3b623a41,
+    0x66b02a83, 0x03b15815, 0xa4105fe4, 0xfb094937, 0x28db3e4a, 0xeedd6bfb, 0x970290d5, 0xc4042df3,
+    0xf82bb72f, 0xb7ea546b, 0x1d7d91f5, 0xcf644a74, 0x64a32d55, 0xa860a971, 0xd40d448b, 0xfad2dd09,
+    0xd792b4ed, 0x2320c5b2, 0x6283054d, 0x1164bec4, 0xa869d27d, 0x88f8b0d5, 0x38a2c751, 0x27642683,
+    0x850e6ffe, 0xab58bf83, 0x72be55a1, 0xc9983e11, 0x427d0db5, 0xffd4a123, 0xa8796651, 0xd7402bc9,
+    0x53f57378, 0x18458b76, 0xc185aac6, 0xe50a8401, 0x368d0872, 0x3bd044c9, 0x884c538b, 0xe58f9c8d,
+    0x76dc515d, 0xf53ad3ba, 0xdc05b43a, 0x539a1ff1, 0x8284b2b2, 0xb44a3644, 0xd0b5d5bd, 0xe747df1d,
+    0x61f4285a, 0xf541a2cd, 0xdb453380, 0x9f963368, 0xb8da9189, 0xb82d0b50, 0x93dbd834, 0xde56e060,
+    0x7054e145, 0x47860eca, 0x1a7fa255, 0xd3c38734, 0x3225778d, 0x727821b3, 0x793fc7f7, 0x9ca99ebc,
+    0xff1999b5, 0x26217ef4, 0x884969ff, 0x6cf71aa6, 0x3526d902, 0xd8e3f654, 0xf7a2a3d9, 0xf36d43e1,
+    0xe02f4151, 0x14674eac, 0x0fe7bf67, 0x05835a24, 0xf4304aba, 0x41b7d6bf, 0x9b494ab2, 0x5092406f,
+    0xca4568e5, 0xb76f0760, 0xe52d49e8, 0x1a4c186d, 0xcd0206de, 0x783779e1, 0x189ea416, 0x294475e4,
+    0xa7348341, 0x9b01194c, 0x0c53cc97, 0x88d1a8b8, 0x1a0275b5, 0xc3b2c972, 0xf25d14e7, 0x69917b4d,
+    0xdcec027a, 0x8b7d1182, 0x507072dd, 0xd8c4bf0f, 0xe63d2fde, 0x27981f92, 0x82f70835, 0x154a741f,
+    0xdceb720a, 0x7ca09a09, 0x0e4819d1, 0x58de0388, 0xc14b70eb, 0x7dfcdccd, 0x50a51e0f, 0x6d8db123,
+    0x55a4c928, 0xfbaacd8b, 0x67093e02, 0x9e0bb8db, 0x2a630dd0, 0xb52e2a80, 0xa1c3f153, 0x2360ee07,
+    0xfcd96bcc, 0x69f049ad, 0x0cee64b1, 0x750c8c9a, 0xf9a43eb1, 0x594f3f9c, 0xb3f8952a, 0x3bb9fdc0,
+    0x38fe4c99, 0xa7e2fd40, 0x39beee35, 0xa8ffb64d, 0x409cdf6c, 0x9fd3f709, 0x5556d579, 0x5622adca,
+    0x4a80d124, 0x416b75d7, 0x51f9237c, 0x6e2678e9, 0xec10bec5, 0x4610f006, 0x964b2c2b, 0x92a34f2f,
+    0xda1e0990, 0x50ec6f41, 0x45f53fd4, 0xefeffc4b, 0x904cff37, 0x81446bd0, 0x4776eb20, 0x404dbfe2,
+    0x18e66e68, 0xa004043b, 0x68ef7683, 0x5384ae7a, 0x93f9cbf4, 0x7eeb9515, 0x6d46560e, 0xeff1e7b3,
+    0x190f1cb4, 0xcfdb5092, 0xc355be5e, 0xcd09df48, 0x9ca31197, 0x511b636f, 0xf38fba09, 0x09a780cb,
+    0x3fda73d9, 0x317bf5f3, 0xbf03355f, 0x8994a34d, 0xc82675e2, 0x2a5c6c6c, 0xf494a9f0, 0x9bc9d17a,
+    0x600c2520, 0x5d544921, 0xd6d9588f, 0xbd2e3593, 0x97156730, 0xa00f8b9b, 0x43099cff, 0x6d1cdfa3,
+    0x4e91a90b, 0xe5cd85a8, 0x0fd0a072, 0xcf0140f1, 0x4616d7b2, 0x62f2046d, 0x759b9073, 0xdb1ce462,
+    0xa0bae728, 0xfad3e72d, 0xf1cd082a, 0x2aba032e, 0xde5c1d9a, 0x89588f30, 0xb7a727f5, 0x3102b71b,
+    0x8d38c983, 0x7f9ba4b1, 0xb2c5f567, 0x1981152e, 0xd3eb1eb8, 0x7caff678, 0xc851d3d7, 0xa7c47b28,
+    0x0c002b27, 0x9ba3e10c, 0x40b20c15, 0x02b6bbd6, 0xbf5036aa, 0x56d2950e, 0x0f837b43, 0x5d81eac7,
+    0x1466091b, 0x63a94612, 0x7045ab29, 0x0e1eefe2, 0xfb48c401, 0x075d4084, 0xb30eb8c1, 0xcb55cd5c,
+    0x49e548cd, 0xaab3c4c5, 0x1769c8d2, 0x6cc25609, 0x0c40b7c0, 0x6165298b, 0x1a8f6853, 0x69a5e3d9,
+    0x43586db0, 0xcf171d8f, 0x65c8fe67, 0x7aa57b96, 0x77f07bc3, 0x2b4e2f90, 0x912a3515, 0xf49bec52,
+    0x35a52ebe, 0x335b0785, 0x3e4151a4, 0xbf35a3dc, 0x9b07afad, 0xc2f1b3e2, 0x5df256c3, 0xd7e23e65,
+    0x1016ec9e, 0x531bd4ee, 0x258a6784, 0x9acc3c6f, 0x016b4635, 0x053ed2a1, 0xb11ac730, 0xb758bf9b,
+    0x71242405, 0xcfff79c0, 0x21968dd8, 0xd69c0414, 0xd5895086, 0x062a36b4, 0xde91166f, 0xaca9f463,
+    0x17b98850, 0x33a20c6b, 0x1c26277a, 0xb9e1eb81, 0xfc896844, 0x042bae96, 0x6f926bfd, 0x096cd29e,
+    0xb9e341e4, 0xff29e482, 0xff9272b2, 0x1a4f08ef, 0x4509a5f6, 0xe7f658f2, 0x06a2ddcf, 0xcef6b007,
+    0x33955ba4, 0xd2876e9b, 0xd1a5fce9, 0x26e0f27e, 0x5473d056, 0xf7648ad8, 0x64b83e9b, 0x9ba31195,
+    0x89508517, 0x12eac2e9, 0x695b4622, 0xe3d0cf03, 0xf4244d30, 0x820f30b3, 0x67094408, 0xbaf885af,
+    0x7a19c129, 0xe7ab02a3, 0x95680c63, 0x70f59503, 0x48a35e85, 0x4823f243, 0x1b4650ea, 0x7c4bda2d,
+    0x33ea05a9, 0x318734a8, 0xd37b23c1, 0xe51edc32, 0x5d05beb6, 0x5210d744, 0x847cc703, 0xe2b1d541,
+    0xb74d8f1a, 0x08b1530a, 0xec03252d, 0xa5b571de, 0xf3459304, 0x92108926, 0x5300bbb7, 0x4b096b7e,
+    0x1d759c72, 0xab83997f, 0x532eaff8, 0x96831c55, 0x48d701a8, 0x65b619e1, 0x0c68a1a9, 0xd56f65f9,
+    0x051d4558, 0x77af1a30, 0x382ecd3f, 0x5e80b875, 0xbda5fb4b, 0xfe448dc5, 0x2ad6b5e9, 0x9ca74e37,
+    0xb5aba017, 0xf5cfe80a, 0xceeb453b, 0x68ea4588, 0xc55db73a, 0x169a7aa2, 0x7d023b13, 0x9c13278b,
+    0xe84359bf, 0x9a07bfb7, 0x219ab873, 0x86568622, 0x68a42808, 0x23160c7a, 0xf15656f9, 0xdee38ed2,
+    0xff33eb2f, 0x1bc0a58c, 0x07224f4d, 0xfc9ab8d4, 0xb06cccff, 0xdd4ea1a5, 0xcf6fdffa, 0x8f8c93a9,
+    0xd01270c3, 0x3ffbdc4a, 0xf8b14e02, 0x030fb64c, 0xd3fae5af, 0x066be6f9, 0x94885821, 0x974ee92f,
+    0x9da741ff, 0xa6cff531, 0xb6bf87d4, 0x3bed6d30, 0x0714a06a, 0xf6b59d4a, 0xe7fc4197, 0x118eba72,
+    0x4473e06f, 0x7cf60654, 0x07c1fa27, 0xabc38086, 0x9a93aa16, 0x7e11fdd0, 0xbb3314bb, 0x8ffe4c9b,
+    0x45ff1f4f, 0xf64331a3, 0x03e1bc4a, 0xf0914700, 0x732e07ad, 0xb90d69eb, 0x1d2662c4, 0x3021a642,
+    0xa11a2eb6, 0x20b42c51, 0x1ab723d6, 0x53024806, 0x56e6dd04, 0xc30c721f, 0x90ebc39a, 0xc9ed463b,
+    0xad1b1c58, 0xce81a48e, 0x4a6e22a4, 0x85a48c14, 0xaf1211f3, 0xf23b4d86, 0x88725b0a, 0x26392309,
+    0x5ae9aab7, 0xd48a2767, 0xa3d98741, 0x20dff5c0, 0x32e1b08b, 0x2aa5cfa8, 0x0d272b34, 0x003d7eec,
+    0xfa2cabde, 0xfb06f10d, 0x7883060d, 0xaffb3791, 0x9f0d69b9, 0xbb783375, 0x05591d9f, 0xcfaca788,
+    0xe65ed391, 0x6bc39569, 0x996e3051, 0x40eb1279, 0xd073d65d, 0x9b1e741f, 0x243f7c06, 0xae64d20e,
+    0x00000000,
+    0xb2c3da18, 0xffffff95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000137438953472 */
+  { 0x00000000,
+    0xab9f712b, 0xd5bc505a, 0x8c42c450, 0x2fba9ce6, 0xb668808e, 0x21caf417, 0x324a16ef, 0x88e5ee7b,
+    0x3998d168, 0x375df26a, 0xdb480696, 0xfff96ae0, 0xf7bfce3f, 0xe4897387, 0x7616eed3, 0x10201439,
+    0x8d895028, 0x46c40118, 0xc1b4289f, 0x673a30d6, 0xda2d101d, 0xc4d403d6, 0xc836608a, 0xbf3f43c9,
+    0x60330d98, 0xc6eb6613, 0x6c195e8b, 0xdf2f2503, 0x264b25ff, 0x4209303c, 0xed32058d, 0x31967d34,
+    0xaa968754, 0x37a300a2, 0x8a314bb6, 0x9ca7f11f, 0xebb10f2b, 0xafc57655, 0x4a1a6c73, 0x441648ff,
+    0xb46a440c, 0xf85678dc, 0x0eeb77c5, 0x18315624, 0xe73e41bd, 0x4ec83c80, 0xbfe98550, 0x84100c13,
+    0xe6c13c4d, 0xe1b369cb, 0xf381efe3, 0xc14c1048, 0x40f7d71e, 0xd4adc10b, 0x5cfe6bdc, 0xf2337e25,
+    0x3438005c, 0xce254332, 0xc56b781f, 0xac661eb6, 0x3896e377, 0xb344d188, 0xc48ca2a4, 0x50b4216e,
+    0x0ec0620d, 0x175d64a6, 0xc6d21a7b, 0x6770ea7e, 0x7a495ef9, 0xb6d02399, 0xb6e3cdef, 0xd9181a05,
+    0x91b54229, 0xbd8e2ec4, 0x3c483f67, 0xe1966af7, 0x4001b5df, 0x0eb69dda, 0xbee830df, 0xbc795625,
+    0x7e9d8b1b, 0x880f9f83, 0xbdd805bf, 0xca8b3ffe, 0x700f40b9, 0x4245ed10, 0x3288f08d, 0x5d363401,
+    0xd7e73a98, 0xbc5fc8e5, 0xae10c931, 0x22f72c98, 0x08e9fee3, 0xa416d347, 0xe30a25fe, 0x1cbeb63a,
+    0x4b6c9344, 0x4763140a, 0xef8bce5c, 0x02a54d6f, 0xab515f2d, 0xcb17b98a, 0x5d4007fd, 0x2e253008,
+    0xc7d74786, 0x88673744, 0x88be58ff, 0x53fc88fd, 0x1aebd89d, 0x242974bd, 0xee25850f, 0xacec2f2b,
+    0x34af2015, 0x4403832a, 0xb4f17a72, 0x621a390f, 0x11f627ec, 0x00fb7fb7, 0xb05366d8, 0x5f3f0ec8,
+    0xc3a729bd, 0x6374381a, 0x1e1f18cd, 0xa9c6ba51, 0xff0c4fcc, 0x07e727a8, 0xa33a1e26, 0xeeea994c,
+    0xe17f2c6f, 0x90a9cd2d, 0x79c9062d, 0x9c01a7ba, 0x6a212fac, 0xb8c34917, 0x3a5218a9, 0x0a8ebd5c,
+    0x6f34a91e, 0xaa2af5ca, 0x89ae1d15, 0xd2ee7232, 0x31344858, 0xf11f0409, 0x14b487d8, 0x30264d8b,
+    0xcb814cba, 0x6f17c501, 0x717d59c8, 0x2098d495, 0x03ca7cf4, 0x5c4f0e2c, 0x31cc1823, 0xb9c2f568,
+    0xac69a8c7, 0x0fbc9465, 0x49f9358c, 0x3334f94c, 0x4c53c157, 0xca7be4d5, 0xe335e6b0, 0x86791c5e,
+    0xb811057c, 0x46519df5, 0x2e4f90f1, 0xdf461cf3, 0xb03a7c7c, 0x4d8f047c, 0x5f602eb4, 0x8c2a8992,
+    0x1c497cb4, 0xe73a5524, 0x91cb4d68, 0x25bfe97c, 0x22544de0, 0xff0c72e7, 0x13e0dd0f, 0x81340565,
+    0x7f37b78a, 0x604acfb0, 0xc71b8708, 0x784c3048, 0x6c62431f, 0x56055747, 0x7b6e9e1c, 0x6502852e,
+    0x051386ce, 0xf9d34ee2, 0x2bfaacdb, 0x59e4f62d, 0x7fe1c44d, 0xd394ac26, 0x62b73810, 0x16cab9e4,
+    0x89fb346c, 0xc6c68f3c, 0x5f1c918e, 0x0e13620a, 0x11d56bb4, 0x3989dd63, 0x08304e8a, 0xa6fabf1f,
+    0xa7126f83, 0x55a31f5e, 0x93c883d4, 0x6c3e84d5, 0xfd9e0be0, 0x5542a31e, 0xb411d990, 0xaa4ca0e1,
+    0x6a2733db, 0xa40fdb5c, 0x9948feab, 0x89e2e4c1, 0xe6d30f03, 0x53063d5e, 0xfc2ccdbb, 0x9b772033,
+    0x3abede39, 0xdbd9003c, 0xce18f7f3, 0x81cbf8c4, 0x7a242259, 0x739b25f1, 0x2c659d7c, 0x4f3bd8ee,
+    0xbce94faf, 0xa91db58c, 0x0dfb38f6, 0xab5a53f8, 0xba5415a1, 0xf883ffb2, 0x5d413f6a, 0x0f9ad89d,
+    0xfcfd0f19, 0x32c28a7f, 0x4de1c4a1, 0xceaaaa15, 0x32ce3c00, 0x8050ef84, 0x6302ab87, 0xe9535ee1,
+    0xa1143f5d, 0x6423b63b, 0xfbcd04de, 0x68ec45fc, 0x8124b858, 0x1920e7f1, 0x35924e8a, 0x487b6206,
+    0x4ee99b7d, 0x6d29a53e, 0xcc6bb434, 0x1a3d2494, 0xd10113be, 0x5d388069, 0x2bad6634, 0x1cb4a8ab,
+    0x29d82b4b, 0x76b0343c, 0xb1d6ddb6, 0xb5dc505c, 0xb1a98426, 0xaf032493, 0x922147ac, 0x4b7f8139,
+    0xcac9455c, 0x0e0d6fce, 0xa8d76ff9, 0x96ad6aab, 0x29e4b530, 0xbac6d1c9, 0x838bbb02, 0x816f94a1,
+    0xa8c6617c, 0x4371a469, 0xaf091a7a, 0xb2cf36b5, 0x71ee6d78, 0xab7be9ac, 0x79ff0282, 0x08124007,
+    0x9bfa9ccc, 0x5be37fc0, 0x81fcdc1f, 0x569b36f7, 0x6b6538ea, 0xda29f576, 0x98bf1a53, 0xe68a99b9,
+    0x1d9171a9, 0xd370ee03, 0x1c997864, 0xc685a409, 0xd1ae3e45, 0xcba587ed, 0xb4d6b86d, 0x45447b75,
+    0xf3741794, 0x5bda8ff7, 0xd5d2e8ca, 0xb380a489, 0x7da4b188, 0x470776ee, 0xecc7eb51, 0xe2755046,
+    0xc727fbfa, 0xa5cbab18, 0x664f73a2, 0x98e6e9ac, 0x22cc9876, 0x647d27d6, 0x7a0d7795, 0x0ed9c923,
+    0xdd2f9869, 0x61360f9f, 0xeba0226e, 0x45399769, 0x61cbe74a, 0xc6ea26aa, 0xb532dc2b, 0x403a4d8a,
+    0x8291b8ce, 0xfcdf0cd0, 0xcf301d56, 0x7c34d5ba, 0xdc1b3791, 0x1662eab2, 0x255a6369, 0x12c85a65,
+    0xdf678226, 0x9a1b381e, 0xbe356ed5, 0x9d0c565e, 0x86cf51f7, 0xb565b39e, 0x38f2d5c7, 0x22c6242a,
+    0xdefc6c9e, 0x69e9d3b9, 0xbf19cbee, 0xc5eaae04, 0xf1f7eff8, 0xa6a05531, 0x1cf90244, 0x149ecb50,
+    0x6e5c698d, 0x62fb9d7e, 0xbe770d60, 0xbeb30f6e, 0x158281d4, 0xcaa0ab28, 0x7870d096, 0xa045bbf5,
+    0x952154c7, 0xd4c6d859, 0x23f406a4, 0xe4b423d2, 0x1bc6136e, 0x19883152, 0x90950a79, 0xc47f5da7,
+    0x9f8b3cc0, 0x2e9c1d87, 0x629f5e2c, 0x6d6e6cb5, 0x86642ff2, 0x28a9d15c, 0x27bf1463, 0x97ad62a8,
+    0xc6746f37, 0xe14fe8c8, 0xd88faf36, 0x5e5e56b8, 0x39c6383c, 0xfa650de9, 0xabedfeb2, 0x3855cbe1,
+    0x366f6962, 0xfdb14849, 0x1413d7a1, 0x092ec1d6, 0x36864a77, 0x0a12a6e4, 0xb3b176e0, 0x178abcac,
+    0x63365e19, 0x53165072, 0x58bd0e0e, 0x1be7cf33, 0xdeace022, 0xc3a78b16, 0xb85616ba, 0xcbf3f8ac,
+    0x0f9b4c1d, 0xf95d3475, 0x5e23375b, 0xe8795cf5, 0x042768b1, 0xb7755630, 0x22dfb20b, 0x79d9e9df,
+    0xd6a6aed0, 0x33cd17b0, 0x9a49a037, 0x6eb3c623, 0x76dca3b2, 0xab4771d4, 0xdb19e126, 0x3491d6d6,
+    0xaccfaeb5, 0xdc2c6dd9, 0xe9968fe0, 0x95422abf, 0xc20c7b86, 0x44d00697, 0x5b6ecd85, 0xf48fbaa3,
+    0x0f1334f2, 0xc4b4ce80, 0xfb9a0b4c, 0x20ab493f, 0xc9367d21, 0x0d3e2025, 0x2ee08344, 0x60375111,
+    0xde0d90e7, 0x2fd7367e, 0x11105daa, 0xbfba42ef, 0xc233e428, 0x8a47295c, 0xbb73a4a6, 0x43f7dd0c,
+    0x6ffbb18b, 0xf02cee2f, 0xb7b4eea8, 0x6ad6586d, 0x5760884b, 0x7440b7ca, 0xdf8eecb5, 0xd216ab48,
+    0xbafb0c13, 0x0633417e, 0xb37267b5, 0xb71c82ce, 0x9c108d9b, 0x555274ec, 0xc0540dee, 0x60e8af67,
+    0x9d2795bb, 0xbe4ca18f, 0x48631f16, 0x55f0a3b0, 0x3d92bb74, 0xf74666b6, 0xcef14212, 0x2705c666,
+    0xa44f21c3, 0x48dedd31, 0x5e8c608d, 0x098da138, 0xf8389d27, 0x1d014f1a, 0xf28e3637, 0x34250339,
+    0x26c82084, 0x4ad8a9f8, 0x3675b9f3, 0xcbe41d45, 0x40c3bbfd, 0x6764cd58, 0x0ea0a462, 0x78a84039,
+    0x8497fa86, 0xf4051701, 0x3de0351c, 0x3eb128b3, 0x48a14bd1, 0xd8bd209c, 0x326c8a36, 0x642c9fcb,
+    0x7c93adbd, 0xf4f51205, 0xd90e212a, 0xf62296a8, 0x5403feb2, 0xb734d799, 0x117e577f, 0x3679010f,
+    0xfb8abb4a, 0x21526e07, 0xcf934cb1, 0x36256599, 0x38d52104, 0x7966c673, 0x9635294d, 0x5636cf84,
+    0x5a79e072, 0xf85b053a, 0x4bb1019a, 0xc2e6ea20, 0xb010bea3, 0x8ba11e60, 0x45640fc9, 0x096cc61f,
+    0x35d841b3, 0x73d39159, 0xd0815bbb, 0xbbfcddc4, 0x60d5e76f, 0xd80575d3, 0xb9ad55c1, 0x78a0ca2b,
+    0x9d2ad0a6, 0x55cdee31, 0xf4482f64, 0xd7ded914, 0xa53eba88, 0xf081d3e3, 0xe8c617de, 0x2468d552,
+    0x27a71796, 0xcb6000cb, 0x3598f15d, 0xfed6e8c3, 0xd5b3ba74, 0x21f6f0ea, 0x6e12d6bc, 0xdaedc7a6,
+    0x642f2e00, 0x21e2c3f8, 0x3acfe438, 0xb459bb68, 0x9deb0a0f, 0xeec37b2d, 0x56a21804, 0x46959c28,
+    0x038e72eb, 0x23a785d7, 0x50eca0c4, 0x0cdced79, 0x60fa1bd3, 0x1d2b3828, 0x42bd660f, 0x0e5eff2c,
+    0x50c12cf3, 0x8e6bee7f, 0xa146eade, 0x9ac1dd8a, 0x0c312c26, 0xba52e799, 0x5dcd6e56, 0x6c2bb1d6,
+    0x5410a08a, 0x7ac5ffe5, 0xe7374ad3, 0xca2fc087, 0x722f940f, 0xe30a1f63, 0x261e20fc, 0xed755d80,
+    0xcfa39a75, 0x500b5d49, 0x6a199ce3, 0x88d3a873, 0x3577d309, 0x44d19fc8, 0xc0ece666, 0x4ad6caff,
+    0xd492d660, 0x0805e7dd, 0x1012bbf4, 0xf71a69e3, 0x697e0b97, 0x3af30033, 0xeb05f2c9, 0x4cdd5cd2,
+    0x3d2b88a2, 0x7785bb43, 0x5107b76b, 0x36e7db20, 0x4da81019, 0x57994a49, 0x1c412f12, 0xa838fd81,
+    0x025a3973, 0xd9dedb2b, 0xb1e5cad9, 0x41df3a8f, 0x4cb3708d, 0x64dcc796, 0x63559ef4, 0xdacff113,
+    0x77e3e76e, 0x602f7ce5, 0x570b9da0, 0x02487d8f, 0xe8ee75ba, 0x52e86207, 0xd712a8de, 0x2b80599e,
+    0xdedfa7ef, 0x24003315, 0x5566a52b, 0x1d1cdd96, 0x9b3f3027, 0x60bb1339, 0x89cde718, 0xf7e43ed9,
+    0x6ebb1825, 0x2898328f, 0xf96f0c9f, 0x42565562, 0x935edb72, 0xdedb6011, 0xbaccebf1, 0x9fe13509,
+    0xb3c88599, 0xbcbc51db, 0xa7248fe4, 0xfc510b68, 0x62c2f20f, 0x39f9083f, 0x1bcd2aa8, 0xb5fb1b56,
+    0x2eb150b7, 0xc16dd819, 0x4cd45b32, 0xa9d59be5, 0x6afe4591, 0x2ec4fb75, 0x4265832b, 0xb4bd639c,
+    0x37bd1fd5, 0xec8b85a6, 0xfb7786d0, 0x918e66a0, 0x512e6211, 0xc3303051, 0x1b94b8d3, 0x45296da5,
+    0xe1d6688d, 0xe01379e7, 0xcddf2e82, 0x645cbf7f, 0x68ac7c1e, 0xfc4bd94d, 0xa2e84152, 0xadd83eb1,
+    0xbba2a07f, 0x34b10ed6, 0xaadfe7e6, 0xfe4d5d5e, 0x9582c657, 0xbf53a20b, 0xb3f4e141, 0x18a15939,
+    0xfaaeb14c, 0x9e2d2b83, 0xdca63756, 0x6c6fa843, 0x1191f783, 0x6571cfe0, 0x35d8c48b, 0xaaff7f9b,
+    0x1bd3bb23, 0xeaef2ff6, 0x18603dfe, 0x3f654c6e, 0x41687bcf, 0x74ee52d7, 0x02e2b3e5, 0x44bd1930,
+    0xaca745e8, 0x4eae009b, 0x1bd075ae, 0x05b499aa, 0x6da9c2b1, 0xcf97cfbf, 0x2afecb47, 0xb61d7730,
+    0x55928629, 0xec9ec270, 0x48838cc1, 0x62b95cb5, 0x7e502000, 0x62c6d01c, 0xe845d7d1, 0x1c5524c1,
+    0x1cf908d0, 0x90374b9c, 0x359b2b9a, 0xfdafde1b, 0x58b59753, 0x418038b2, 0xc9534f5f, 0x46f28bde,
+    0x949faa12, 0x5c228a58, 0xd133a5ad, 0x58f6aec9, 0xea476095, 0x09b642f3, 0x1fbf765a, 0x97504980,
+    0x28332c63, 0xa9e47089, 0x476fb2c7, 0x6284d582, 0xd1a4b092, 0x2ba30853, 0x03d4e354, 0x27a33cf7,
+    0x98f09ee2, 0xe1cb1428, 0x8863889c, 0x648f42bb, 0x17a5d2e7, 0xe8d4faaf, 0xeaaef100, 0x98e39b2c,
+    0x8cb1d3da, 0x577301fe, 0x8a4f76b9, 0x737966b1, 0x16e37708, 0xbeb677be, 0x76f4525a, 0x647db570,
+    0x26a22554, 0xc65a4c14, 0xa3348c37, 0xc33a8e34, 0x2056dbba, 0x1b485586, 0x1bf58b9c, 0x8be52baf,
+    0x9192f239, 0x0fe8a367, 0xb5f83f7d, 0xaa278719, 0x6f2b578b, 0xea907ee7, 0xafc728fc, 0x60f4b907,
+    0xe5641e2a, 0x70773a2c, 0x76071051, 0xb13517c1, 0xe9d61eb3, 0xb69feb62, 0x49793b14, 0x1ffbc7bd,
+    0xaebff4d0, 0xc761a734, 0xc873b059, 0x6ed5eac2, 0x83605784, 0xbc670fc8, 0x8cd76808, 0x6278310e,
+    0x58d5eb0f, 0xb0e41161, 0x8e65ba95, 0xcaef60db, 0x60f01092, 0xd96006e8, 0x39e67f25, 0x6dccc661,
+    0x15fa7a6e, 0xc1d1d614, 0x0e58fa07, 0xee6454aa, 0xa494a67d, 0xfe007e15, 0xb519fc5c, 0x4712e64f,
+    0xb0802054, 0xd8adafe7, 0x93dc19aa, 0x810b6747, 0x4d90c6f8, 0xc6659f6e, 0x66c844f9, 0x5f9d298f,
+    0x3c90ea35, 0xf687f955, 0x36aabeeb, 0x19c68ab6, 0xca222cfd, 0x2d1ef3bc, 0xab14da68, 0x4cb62d7d,
+    0x273f158c, 0x88486d10, 0x2c68bbba, 0x0a5e24bd, 0x2b253e57, 0xaaefe921, 0x45b5a134, 0x2d8ff6c9,
+    0x39efbfe5, 0x49399fbb, 0xccf3af6a, 0xcf7b5228, 0x769668ce, 0x2efc29d9, 0x611316af, 0x72cb1a76,
+    0x1ccb22b3, 0x3505a2a6, 0x501dcbd1, 0x0462a04e, 0xaa1f6484, 0x170b786e, 0x4429811a, 0xf908ac13,
+    0xb6cd6e5d, 0xa31a4fbd, 0xb232b0ca, 0x30199e40, 0x20543a0b, 0x53a1dae2, 0xd4cd7e91, 0xe021d21c,
+    0xb3421887, 0xaf43b31f, 0xc8fea6ac, 0xd1749bb9, 0x9ae18d11, 0xc7abf4c3, 0xe6fc9cfc, 0x896c5b34,
+    0xe3ffd449, 0xea0adc87, 0xe094fc9b, 0x1de69651, 0xc8354576, 0xd8e10e10, 0xd63d60bb, 0xf80e89d6,
+    0x047dba0e, 0x7d131e8f, 0xa8b3847c, 0xa3b02d8e, 0xe164b23f, 0xbf564c07, 0x2dc8717b, 0x2dba5db0,
+    0x71ae0d9c, 0xf1af51c0, 0xa3eb2d2e, 0xa09fb606, 0x5f34e648, 0x43f6b621, 0xa32a2d7d, 0x34896e04,
+    0x7416b282, 0x1f0c9bdf, 0x72a0c19a, 0x3dd6c514, 0xdd1eea64, 0x17d44b06, 0xe40e61b4, 0x41c03a95,
+    0x64f8e938, 0xb888bed4, 0x08b21ac0, 0x2a5148e5, 0xc254f6ac, 0x219c4353, 0x0b636ae6, 0xf84df133,
+    0xf7e3f309, 0xaaadcb00, 0x83380bee, 0x9e6e5c59, 0xb7a07fb9, 0x7a365c5e, 0x153a8357, 0x88d5b63e,
+    0x4b400c7f, 0x47005ed8, 0x547bdb65, 0x0c7fb7b6, 0x71482b42, 0x760a9ba0, 0x4f77f02f, 0x8f617d2c,
+    0x0207f504, 0x82417fc3, 0xe3876089, 0x5c70ccba, 0x066a10ba, 0xa1bc9c3e, 0x5c3c48ff, 0x8ac7a78d,
+    0xc57d31f9, 0xe100237a, 0xfc2a3a96, 0xd8bab35a, 0xbc5edeff, 0x5dca62b0, 0x5dd83ffe, 0x4e9e8cb9,
+    0xc96ae180, 0x16e2cec2, 0xdc73164a, 0x4209a123, 0x9896eff2, 0xd08e3e22, 0x3cdbce87, 0x8e74b147,
+    0x5a95afd0, 0xa394b05e, 0x2a02b559, 0xa1d6af6e, 0xeb6feee7, 0x9369d9db, 0x9f6eca82, 0x02410849,
+    0xa377bca2, 0xfb1d2bc2, 0x4f77421b, 0x9f9ad7b2, 0xce7d3969, 0x0b0074ad, 0xc012b976, 0x4da8a02e,
+    0xbd6cd957, 0xf4dea9d1, 0x8016589a, 0xa8351784, 0x8dcc3d60, 0x4d589ff1, 0x7eb844d0, 0xb56df1e8,
+    0xaa09b569, 0xe629c376, 0xddaba4ac, 0x4b68ba5c, 0xac0c0210, 0xe5592b65, 0x5523b147, 0x20341c80,
+    0xe9abf7f8, 0x92554b90, 0x741fe7ec, 0x2fde67a3, 0x50b0c8d6, 0x3d157cd8, 0x798ef3b3, 0x8fe9305d,
+    0x02401eba, 0xd600e483, 0x02172448, 0xa87e2274, 0xf4a77f88, 0x234014c0, 0xf22cb7a5, 0x0bd73691,
+    0x741892f7, 0x386e1f9c, 0xc66b7220, 0x44d5a0bd, 0x4f521d6d, 0x44c5b203, 0x809d9c16, 0x8f649796,
+    0xce47ba94, 0xd3330ddd, 0x7933465b, 0x1a5c7d02, 0xafbeefbb, 0x534aa4f9, 0x4c119b18, 0xa571a26d,
+    0x08f46331, 0x58d71022, 0x853714e8, 0x44787ce1, 0x59b5bf07, 0xd58f8928, 0x9ce10566, 0x7a09395d,
+    0x862390e9, 0xb08c10fa, 0xa583a18d, 0x44e0def5, 0xdb50d154, 0x898ad2a1, 0xe7c40217, 0x60bd5e26,
+    0xaebab54a, 0x2984cd47, 0x09ce988f, 0xa4a94781, 0x3d5e03d2, 0xd2f443e3, 0x9e8e8938, 0x3491ff4d,
+    0x2dc3a973, 0x5294ab7c, 0x0496bafa, 0xe834030f, 0x855401ca, 0x9e4f0aa0, 0xf8380ae9, 0xd34b0fcc,
+    0x00000000,
+    0xd961ed0b, 0xffffffca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000068719476736 */
+  { 0x00000000,
+    0x5e6c8cea, 0x17b69085, 0xe3c758e7, 0x6afd743f, 0xf4bb248e, 0x4219d661, 0xb0354cd0, 0x2afba5b8,
+    0x0784c51d, 0x886f8c6f, 0xa768f64b, 0xfe285521, 0x0d9618e9, 0x4ea87a5b, 0x0773d728, 0xc37960bd,
+    0x23049b77, 0xb70240be, 0xef957dd9, 0x36ff28ee, 0xeadbfa07, 0xe2321b94, 0x44175ef6, 0xe4abf19b,
+    0x3568065d, 0x82b08039, 0x933bf0ba, 0x20e4c0be, 0x0866cb1c, 0xb35c6079, 0x6d4fa09f, 0xb4a9e957,
+    0xe679bf9d, 0x8028119d, 0x15a97276, 0x1fc33c27, 0x45e56b7a, 0xb7660761, 0x5a485d60, 0x3c762b71,
+    0xb925810f, 0x81011ef8, 0xf3f620aa, 0xf47b2a4f, 0x01771141, 0x674cf676, 0xc46fd837, 0x91bea65f,
+    0xfbc460ec, 0x1ae3bd76, 0x7566da70, 0x940f839c, 0xb014985c, 0x819122a7, 0x6d3e31e6, 0x6b55fe03,
+    0x484e6502, 0xbd3beea5, 0xa76c4c7f, 0xc7c1cb78, 0x295ad129, 0x223800bd, 0x9e8fa245, 0xad12d91b,
+    0x511f049c, 0x7bbf06a7, 0xa96fc3cd, 0x9ddc2e79, 0x4864e812, 0x9a9668a8, 0x0a5ac9de, 0xf782b367,
+    0x3a2e30dd, 0xe210f393, 0xbdc1115d, 0x7cf4c1e7, 0x6e27a098, 0xae33b32f, 0x03f37574, 0xa5e0b718,
+    0xd647ddb7, 0x3d6183e0, 0x84183da6, 0xef936118, 0x75ce22c2, 0xd9f67bb3, 0x86280aad, 0x752285ac,
+    0x641f6afd, 0xdb02e254, 0x3eea1c44, 0xf39d5aa7, 0x944eff2d, 0x25fb93ee, 0x934b6a40, 0x00ec4b33,
+    0x608bd892, 0x8c2b262f, 0xbff33aaa, 0x7721dd76, 0xe30bc800, 0xa2904018, 0x1c5ff792, 0x410419a4,
+    0x276c9ac2, 0x56adbc0a, 0xb085f9b4, 0xb8d0f7a7, 0x61a5ad33, 0x4cf267d7, 0x36ea185b, 0xe6c15bc8,
+    0x1a0acb36, 0x41e0b896, 0x96e76014, 0xc92e857f, 0x2e905bd9, 0xc246e437, 0x36d16721, 0xe0127d0d,
+    0xf685155d, 0x42c9c27d, 0x217d7d76, 0x904e834e, 0xf8085d22, 0xf05a902a, 0x4cee39c2, 0x73b1f8f4,
+    0x05ce74d4, 0xbfb0c6e1, 0xfcbed956, 0xb92bdd70, 0xc8d206ca, 0x05951be8, 0x62d4258f, 0x5624a6cf,
+    0xaef3fe5b, 0x237433bc, 0xacba34d5, 0x18d8e10a, 0x39a46102, 0xe874dadd, 0x2d1c2262, 0xd0e07b96,
+    0x0bf38475, 0xe5612341, 0x32115100, 0x9a6fd6bf, 0x0bd5dfe2, 0xb81e5179, 0xc49e1107, 0x89aea513,
+    0x59249187, 0x7b38b881, 0x75baa522, 0x49e05967, 0xcc24693f, 0x022cd131, 0x1e9ba8bb, 0x350139b5,
+    0x4ad3e4f1, 0x22638471, 0xd06b8216, 0x30af0512, 0xe59e0afc, 0xedb1f42c, 0xa632c7ba, 0x4f8f6afb,
+    0xcb7f940e, 0xbd681a35, 0xa48bc59c, 0xb62dc48b, 0x1fd9884e, 0x62ddae24, 0xce1a1148, 0xbbc0cf0e,
+    0x6edc4d55, 0xef34eac2, 0x9689457c, 0x3ea7b80b, 0x535b9837, 0x2723a66c, 0xdeb5327d, 0x18e1dd81,
+    0x2525d8f1, 0x370dd4f4, 0xf8e9e1a8, 0x53f40ffd, 0x61b595d9, 0xc948d264, 0x530844bb, 0xbe24a77a,
+    0x4db09662, 0x3790a11e, 0x88e00b95, 0x39bc6e00, 0x3c7c4545, 0x2c5ce44f, 0xd06d48b7, 0x609bbfce,
+    0x394f9640, 0x81426f3a, 0x5ba13fc3, 0xd1e8a1de, 0xf62b39a7, 0xbaf13b8f, 0xf23f96ee, 0x13d51422,
+    0xb729e69d, 0x1d1e81c5, 0x7bfab54f, 0xb6202aa5, 0x055e0a52, 0x07db9427, 0x7e8ed5ed, 0x22cdb937,
+    0xd089ad5e, 0x8c81ae76, 0x9e971bac, 0x91110cac, 0x5768cdcb, 0x4576f0ae, 0xca7d8a11, 0xd92866cd,
+    0x966fa9e5, 0x870b207f, 0xdfc282bb, 0xde283d76, 0x34a343b5, 0x69f903f9, 0xafcb2628, 0x284a2789,
+    0x8fd9b9ed, 0xde7ab7b5, 0x65c04c73, 0xc6d5f6f7, 0x3bb851b5, 0xe0010879, 0xe7952b65, 0x5ef6dfcc,
+    0x2bdaae0b, 0xd24331ea, 0xcb0ef159, 0x3b006f57, 0x09865cd3, 0xdfd02a33, 0x9957bdc5, 0xd04023f5,
+    0x459efdcf, 0x5ca25ddb, 0x3145d4b7, 0xbaacf06a, 0x48da7253, 0x74dd7d40, 0xaeb91e71, 0x446b8ca8,
+    0xb788c03c, 0xf715e005, 0xc742620f, 0x213fd0fe, 0x1ef69663, 0x8dad55ef, 0x2ec15051, 0x013d08f2,
+    0xbcae7492, 0xa90fac81, 0x3813571a, 0xdf1a191c, 0x63a6dcb8, 0xeea5165e, 0x00550cdd, 0xa279b286,
+    0x00406364, 0xc38afe26, 0x529cd892, 0x7cd46b8e, 0x56e97fd6, 0xb765a19e, 0xc6cc96ad, 0xd19bb5f1,
+    0xc143bc92, 0x130af0e5, 0xee640aaf, 0xefef67dd, 0x979df285, 0x7b4d4f45, 0x8f1a58b1, 0xf9f3ad9a,
+    0x3987abbc, 0xb0f21062, 0x07e7335f, 0x2047e78a, 0xea8f0679, 0x1a346624, 0xdcf616ad, 0x3e343c67,
+    0x8b845ce3, 0x920ee3aa, 0x1494f706, 0xe034215d, 0x721f6a17, 0x281ebffd, 0x8d14ddfe, 0xc28de3d4,
+    0x152df47e, 0xd0f67183, 0xabb9c24e, 0x07692a6c, 0xb31d87db, 0x59ffc512, 0x420197ab, 0xe042aa4c,
+    0x9030aca3, 0xe2bbbbf0, 0x317f58f6, 0x5c577cff, 0xad3db642, 0xca9c8927, 0x32bef27e, 0xc0a551ce,
+    0x88ffe4d9, 0x370f49cc, 0x37677674, 0x1dbeea2d, 0x0f9ac162, 0x5a557285, 0x776993fb, 0x79bfce48,
+    0x85a20c26, 0xed5dbb89, 0x7b1cb978, 0x23fffa98, 0xb377f6ac, 0xdd74415b, 0x8ca20357, 0x9449f1d2,
+    0x6681ad89, 0x3c3c40a8, 0xb7f59b52, 0xbcafb2cc, 0x901a7103, 0x0c51c588, 0x0a5aeaa5, 0x9923d611,
+    0x091f5151, 0x509acb80, 0x2f4fa1f4, 0x5b208614, 0x930c6104, 0x24a9de5e, 0xee57a9ad, 0x8404143f,
+    0x1e6febf8, 0x886f96ec, 0xe7cbb7d8, 0xad46b0dc, 0xa8e22767, 0x40b37d4b, 0x78dd1973, 0x6723d82e,
+    0xc3f44d34, 0x38b78695, 0x7730b337, 0x23d39092, 0x31db4e5c, 0xb7872b74, 0xa4ce95ef, 0xf5a14a63,
+    0x47c52821, 0x95616af3, 0x8ffeb862, 0x2ebc925d, 0xd5486fbc, 0x48b528d7, 0xd4219372, 0x8d8067f1,
+    0xae1c42a2, 0x4058f1cb, 0xd64b6f2f, 0xea1e713f, 0xb5cfa000, 0xaa534c7c, 0xf3e8cac1, 0xd7c20cc1,
+    0x389a39ac, 0xf0e10d0f, 0x9d3ff4d4, 0x5340355f, 0xe8d08651, 0x6af2cb36, 0x1caedb3a, 0x585f3da8,
+    0x20e5ff44, 0x509ab537, 0x58cca2c8, 0xb42c4db1, 0xc9fe27f6, 0x1c18e6d2, 0x2acef792, 0x3bae0578,
+    0xf77e9728, 0xcc328a7e, 0xdf6d730b, 0x9de59335, 0x1ac89eca, 0x0dfe7d3f, 0xd132e86f, 0xb1986e8b,
+    0xa3970853, 0xf7ff3e1c, 0xc87354d6, 0x787cba8e, 0x4d533444, 0x9e557598, 0x0b49f920, 0xe4adaa50,
+    0xd2dbd26a, 0x4faa9962, 0xb2e9946b, 0x485dc8db, 0x7e13dae9, 0x4e574e4b, 0x52dc3f8b, 0xed5215a8,
+    0x21dc8de7, 0x6f246458, 0x7277af14, 0x5f0b7d8e, 0x4edba574, 0xbeb05b20, 0x69ff4f4d, 0x1ffdfee2,
+    0xf7a9fbba, 0x8db638d0, 0x404a9256, 0xca86f11d, 0x3ca59407, 0x64887f1f, 0xfb2ebff2, 0x0e4299c8,
+    0x61ed9881, 0xc6e60543, 0x86492728, 0xe5917c7e, 0xc8964aa1, 0x9e4cbf8a, 0xa6284654, 0x27119e37,
+    0x3240ca4a, 0xbf74bfff, 0xd527a544, 0x449edb00, 0x9cb528e1, 0xe78b13d5, 0xf164dff2, 0x46b23c80,
+    0x70098ab6, 0x8698109b, 0x03569c43, 0xf5fb33a4, 0xb9ce5409, 0xf2b9ffc1, 0x99be2fb0, 0x645a3969,
+    0x79c4812a, 0x235145be, 0xc3fe5107, 0x0a44d3b6, 0x17b8bcdd, 0xe91074d4, 0x520a6865, 0x5abed7f2,
+    0x41441642, 0x321e9571, 0xc0cc3566, 0xbccb2e02, 0x9e842e9b, 0xc1c558c3, 0x8f202b8b, 0xcaf4c039,
+    0xb3df8317, 0x62e2d10b, 0x4e951a06, 0xeb733616, 0x1050efea, 0xecbb9e21, 0xc3508790, 0x84c9ac3a,
+    0x0960f179, 0xf34d9224, 0x66b54913, 0x599b039f, 0x6fa91b93, 0xf8c436cd, 0xc24f5182, 0x0a244fb3,
+    0x05b03666, 0x56a88479, 0x53885228, 0x2f7c2c86, 0x12603f54, 0x707cfeb0, 0xfbb74772, 0xb26951d5,
+    0xa472813d, 0xf20f0bc4, 0xca84d94b, 0xcd52abd8, 0x9529fb65, 0xda5b8ba3, 0x9b275526, 0x164f300d,
+    0xba9b722e, 0x09870e8d, 0x03c51339, 0x9d1d8c06, 0x2ece72ae, 0x07617065, 0x959ecf0b, 0x8668db92,
+    0x644d9157, 0x003fb332, 0x5544fb4d, 0x1f271a7b, 0xfef5c451, 0x2151df3b, 0xe8b564fa, 0x948fa37a,
+    0x41e9d9db, 0xf1785c99, 0xb341079f, 0xfe11174c, 0x216e0001, 0xb6abc010, 0x2e370a99, 0xbc5ce892,
+    0x0fd9df1e, 0x856e944c, 0x5e4bb794, 0x4d46ac38, 0x38590e0d, 0x8d94470a, 0xe1e09bd3, 0x3109c742,
+    0xb53ffb2f, 0x210a8c9c, 0xa9b8720c, 0xa4d0895a, 0x8002afc0, 0xdecb46c2, 0xc3ed8874, 0x17715ce5,
+    0xc4669e8f, 0xdaabcb40, 0xf49f0239, 0x00d89d0e, 0x82743bb7, 0xd1e803d9, 0x2ce7eb51, 0x3d33054f,
+    0x42066b5d, 0x54659fd9, 0x0fb521fc, 0xdf8ebbb0, 0xd9774724, 0xfd713616, 0xf9d89819, 0xd681937e,
+    0x62447fdc, 0x014eb199, 0x054131ec, 0xa9457743, 0x2c344e8c, 0xdbb2ad96, 0xf221268c, 0x908fe25e,
+    0xd25c0100, 0xd4088f06, 0x4147d0d5, 0xc8f4c027, 0xd7d1c37a, 0x13e461a4, 0x35b9bd6b, 0x243c8a04,
+    0x8dc15d8a, 0xed21aa75, 0x4bde669f, 0x1ffdfcda, 0xe7c07f2c, 0x3f94a633, 0xf18985df, 0xb6b14e65,
+    0xbf8f1bc1, 0x2816b80b, 0xab9efe4d, 0xa7506e37, 0x2e7181ac, 0x417c3a36, 0x89e0e607, 0x2cace48a,
+    0x9dc649a0, 0x6bfd063c, 0x00315001, 0xa3d60b60, 0xbd5202ad, 0x62a1a419, 0x5ab2be8c, 0x90a875db,
+    0xafe341b4, 0x5f9a11bb, 0x03dc5809, 0xb0b9e254, 0xbdf1cd39, 0x265f2c2f, 0x9a51bda3, 0x23737bee,
+    0x7b72cd93, 0xdfd3959e, 0xcd399cd2, 0x4cea6600, 0x3e08d88d, 0x5ad49e48, 0xd26dbb4b, 0xabae28c8,
+    0x86c8f194, 0x0b6bb8ec, 0x163c3bc2, 0x7b140558, 0xb79489ce, 0xefe8073f, 0xef44137e, 0x1740e8d1,
+    0x79cfeb75, 0x6ec43fe0, 0xc1fee06f, 0x3869b8e9, 0x4655c3c5, 0x8b2f55de, 0xbc548706, 0xc0d34b1f,
+    0xccaa7ab8, 0xd47e42ed, 0xaaf091d4, 0x4639d613, 0x62177b78, 0xd75f7d3b, 0xd684e0b5, 0xa4dd45f0,
+    0x1028290c, 0x29cbd902, 0xec32cafb, 0x8ce46c0a, 0x0c85bf0c, 0x45c43e76, 0x6cea73c8, 0x5bd79fba,
+    0x7739ed2a, 0x539ff8db, 0x761388d9, 0xc5ebce98, 0xc498a349, 0x8fca3f97, 0x6b26b1e5, 0x3bd52e59,
+    0xf206a826, 0x7af45ed4, 0xf1731455, 0xc8d9e4aa, 0xc8952b19, 0x6164e44b, 0x1618eef9, 0xd22ebfe6,
+    0x26ddefd7, 0xa274b604, 0x88c4158f, 0xd7bdce8d, 0x1358d581, 0x7137ea89, 0xd523e380, 0x5dcbb7fa,
+    0xb07a2c85, 0xab0517ea, 0xbeb7f024, 0x2f3ec240, 0x987afa4f, 0x58cdb8e1, 0x809725c2, 0x14616e54,
+    0xced55ec4, 0x8569e96b, 0x0eabadae, 0x21fef698, 0x62b85d2a, 0xeae1c77b, 0x50a16481, 0x17cc658c,
+    0x76f345e7, 0x5f177032, 0x2268bd50, 0x4e120a0d, 0x0a0ab4c9, 0xf5035b91, 0x893849cb, 0x23fe6a9a,
+    0xd7ef1d9c, 0xa0b7b127, 0xc4ca70e4, 0x6b1aebbf, 0x99e0f985, 0x0abcaa05, 0xafe76beb, 0x791cf9b4,
+    0x81dd79a5, 0x6f9debb3, 0x94efe5ac, 0x7142045c, 0x6a2fa3be, 0x3226ff82, 0xca03aa2e, 0x23593bb3,
+    0x3fe4ae87, 0x7e4d7f0c, 0xcf0b12e2, 0xe5819f2f, 0xa27778c8, 0x29a734fc, 0x5d9bcd56, 0x020deba5,
+    0x19da170c, 0xc7052ddd, 0xa80628d1, 0x8ba4ec45, 0xe5b74b6f, 0xdd650551, 0xfea31498, 0x30fa8a0e,
+    0x054e0ef9, 0x37d48c09, 0x7f37f6a4, 0xe3fcdb82, 0x6537100a, 0x32eb1422, 0xb1cc3eeb, 0x33302cb9,
+    0x28de4704, 0x390162e7, 0xb25b2c0c, 0x14c9bd39, 0xf1247020, 0x11c07e42, 0x76b6f487, 0x99ec07ed,
+    0x5506d88f, 0x15a7f87f, 0x3def9a33, 0xcb0007db, 0x9722f9b5, 0xddd37a90, 0x9852796f, 0x5cde7d34,
+    0x039f28c9, 0x18ccb357, 0x664ccaed, 0x37d81e38, 0xc803300a, 0x584171ac, 0x0ffb8a2a, 0x7ea4f5e5,
+    0xbe9dbc2d, 0xa3914248, 0x03200430, 0x96cdfba1, 0xeec8e21c, 0x035200d2, 0xcbeba9c3, 0x0e46bd31,
+    0x8f111b3a, 0xa7822d84, 0x1be3f323, 0x92ba521c, 0xfe083106, 0xe77aab22, 0x26028d18, 0x7ab2eb33,
+    0x9ed10c59, 0xe8b58e02, 0x7f21f6aa, 0x10f66e94, 0x11aa68fd, 0x88d19214, 0x8020f198, 0x83231c78,
+    0xee8636e8, 0xa9b5b044, 0x251b652c, 0x1a535304, 0x0d1805bc, 0x96fa5b8d, 0x083cb36f, 0x0d4cf60e,
+    0x7e7a1a4c, 0x668cabd5, 0xe3ff7f94, 0xf6ab9b4d, 0xca936faf, 0xbcb26f7b, 0xafeacb11, 0x97c854b0,
+    0x941741f5, 0x550e6b33, 0x95543c85, 0xfed6025a, 0xc0a99f42, 0x1400eb78, 0x8853224a, 0x0608a767,
+    0xa9d5efee, 0xb9996613, 0x94fbfd77, 0x7dcee297, 0xb8dad75b, 0x34cdc224, 0x8e3ee862, 0x5d4d1556,
+    0xc4e397b2, 0x12905652, 0xd26f853b, 0x427d2166, 0x19a24b19, 0x007c02d5, 0xc0e085a7, 0xc3911bc9,
+    0x664d9db3, 0xc3c2445c, 0x9139fdb7, 0x037c23b7, 0x48b64aca, 0x05f3d8d6, 0xc8dc6781, 0x3478cdf9,
+    0x0ce2e0ba, 0x5a4790c9, 0x474399dc, 0x728ac9c5, 0x46bf24ab, 0xd5c53343, 0x0deaa0ca, 0x9258dfeb,
+    0x0a0602fe, 0xf5959312, 0xa9270287, 0x0c8febdd, 0x39c8eb11, 0x66422b75, 0xfc167113, 0x65f17576,
+    0xdf3dbc69, 0x6e373e2d, 0x5dbdea0f, 0x800edd90, 0x0101b648, 0xe8098dad, 0xd028d999, 0x648c1fb0,
+    0xd1febd65, 0xa90eaae6, 0xea6f534f, 0xde47fe95, 0xf8187fa6, 0x0e91215f, 0x05e91092, 0x863e620d,
+    0xc794ab06, 0x94a5c9e2, 0x1605f7e7, 0x15399334, 0x5d5e7ac9, 0x709e7f7c, 0xc1d54da6, 0x65c04e6c,
+    0x42a6e17d, 0x9e6302ad, 0xfb8e464b, 0x0d11ebf4, 0xc02ddd22, 0xce455b33, 0xf11571ad, 0x068335f6,
+    0xd22d1157, 0x33fab7ea, 0x1f6c8451, 0x8f63cc3b, 0x11d156ea, 0x5b69e584, 0x83933d4f, 0x3e03bf7d,
+    0xb9fa804c, 0xd7da7b9f, 0xbadbffa3, 0xba331ee5, 0x57a4b6c2, 0xd36ead8c, 0xa15ddf9a, 0x7e29cd06,
+    0xfceb4e25, 0x8b34cdb5, 0x2080376a, 0x2e04ba78, 0x52bfccca, 0x526b3fb8, 0x9a2ea272, 0x631fa2a9,
+    0x6ce81e9c, 0x8791f9e1, 0x04401bd2, 0xec326c36, 0x08bf2a4a, 0x79e7e812, 0xa0b9ffb4, 0x738683fd,
+    0x06292c8f, 0x1ad15b8b, 0x0ba5e341, 0x2d4f5030, 0x68ff22fa, 0x9980bc73, 0x9e1bc986, 0x4f209cdf,
+    0xde55ab85, 0x43fd428a, 0x31866e58, 0x25c014f1, 0xed586823, 0x39b2babb, 0x5ca9c5a4, 0x5fff3c14,
+    0x14d89476, 0xf6c07679, 0x11447f4d, 0xba5f7815, 0x7b70610d, 0x88d81968, 0x12ef20d2, 0x64d9f4d2,
+    0xc20887eb, 0x6fbd7922, 0xf8c4e97a, 0xb5eab91d, 0xbe4a9d81, 0x7877b679, 0x31a580a0, 0x7b56a653,
+    0xa39dac88, 0xea778045, 0xee12bc05, 0x72751d4d, 0xefb4a5df, 0xb3e83500, 0xd5ff7879, 0x39b59eb8,
+    0x2005cd61, 0x892ca8dc, 0x7c8e607f, 0x9a80e0aa, 0xe38126c2, 0x8e7d326a, 0x9ce36e60, 0x5610359e,
+    0x11a2191f, 0x53d5db2e, 0xf53589cf, 0x66e7b619, 0x02b91134, 0x612e0d92, 0x626846f5, 0x989d58de,
+    0x7767c7bd, 0xa546c365, 0xa54e6f24, 0x6693a719, 0x6d5d950f, 0xa40fde5d, 0x26c46e60, 0x28e0ebe3,
+    0xdf1e5100, 0x7a4cf631, 0x892726b3, 0xe4a2cab2, 0xa7add6e0, 0x9eb48f8e, 0xa6883982, 0xde3e1a29,
+    0x9a3d4a7f, 0xf3834482, 0x89e1dd12, 0x3e9fbbfe, 0xa755d21b, 0x49869208, 0xacbec895, 0xf2c1c347,
+    0xfee7ccaa, 0xc8b3084c, 0x2dc06e21, 0x8fbbf327, 0x081e8d5a, 0x2111dc48, 0x9c6c0fc9, 0xa4748b95,
+    0x00000000,
+    0x6cb0f685, 0xffffffe5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000034359738368 */
+  { 0x00000000,
+    0xbf200865, 0xba1ce18f, 0x56e092e5, 0x1336b4a0, 0xf834a777, 0xaba3dd20, 0x2b350a5f, 0x49356bf5,
+    0xaf01d7c2, 0xee7d26c7, 0x98150787, 0xbd0ad059, 0x8aaaed66, 0x5862c310, 0x67f804d8, 0x51648fbf,
+    0x1ce4d5b3, 0xd58de58a, 0x20d02640, 0x7e0e339f, 0x003e06fd, 0x5fb0b00d, 0x93a7747e, 0x8cb68937,
+    0x651fc001, 0x1a3be74e, 0x698b8fbf, 0xef5eae84, 0x69d1ea58, 0x367fd75e, 0x048ade61, 0xde0878eb,
+    0xfe02ba2f, 0xd4677942, 0x1925bf1d, 0xa72c7629, 0xb51a3ab5, 0xb35fb3fe, 0x3d196f05, 0xf8a2ec76,
+    0x7fda146d, 0xcbf4a3c7, 0x9cc6bbcd, 0xae7ab9f4, 0x9c6e631b, 0xa747a688, 0xc544d4a6, 0x2570cd0f,
+    0x564a5086, 0x8016198b, 0xef8c7dfa, 0x83cd264e, 0x0ea2f9e0, 0x29216f52, 0x953ebe00, 0x8619524d,
+    0xe95d9032, 0xb7bcc915, 0xc1b7eb33, 0x2ed53b52, 0xaaa2004c, 0xb5ec6886, 0x68eb6b98, 0x480c1c4d,
+    0xda3b74df, 0xa52d852a, 0xe0345c31, 0xe9e877ee, 0x59380a1a, 0xe622f3f6, 0xd8a116bc, 0x69531ada,
+    0x1ff3063b, 0xba2949b8, 0xfe24772d, 0x423d3c31, 0x5054c542, 0xaa44046d, 0xda13fff1, 0x2264bf44,
+    0xb9645766, 0xa9a10a6f, 0x480d5938, 0x40283857, 0xf1773773, 0x7253891c, 0xe3aed8f4, 0x76ff323d,
+    0x5aa3fd93, 0xafaa108b, 0x09b434e1, 0xb3f0cc24, 0x8a70cf7f, 0xcfac41dc, 0x1012e2b5, 0xecf2fc86,
+    0x3b6f77ec, 0xc795413d, 0xd801a806, 0x2d8d6fad, 0xe32c6bf5, 0x50c0681e, 0x0a19c4d1, 0x048f4cfe,
+    0x3378c2bb, 0xd16456fc, 0x82cf1349, 0xb51cb8b4, 0xa83f9e67, 0x5218add4, 0x06676edf, 0x0b02755d,
+    0x2f4d6f06, 0xca3b1258, 0x68050d3b, 0x19178217, 0xbef787b2, 0xed8f31fe, 0xd713d4b4, 0xe1811c81,
+    0x34a51e7a, 0x87a26e0b, 0xf422c3f5, 0x1826ef2d, 0x8ba72ea7, 0x1629c21c, 0xa29586b3, 0xc96c81f2,
+    0xbe0d6e87, 0xebbc206b, 0x04da366b, 0x71712e10, 0xd217abce, 0x7b29309a, 0x73958469, 0x05d9fe5e,
+    0x7b082cbd, 0x72124085, 0xc11e8efc, 0xe4a77924, 0x65f011f4, 0xd22aef9f, 0x2deb0126, 0x162fc793,
+    0x80a51de9, 0x43297daf, 0x49497c30, 0x733bf614, 0x045411b2, 0x40c42e25, 0xfe1c4d1b, 0xb59dffe9,
+    0xb8e69567, 0x74427d26, 0x6a08db1d, 0x226e5a04, 0x3877d3ac, 0xad6c6112, 0x657294e6, 0x9b60dccf,
+    0x2da1e6fb, 0x7f769cd4, 0xdb12f30b, 0x2b071510, 0xd20b3f2b, 0x9aaf92ed, 0xe217f5c6, 0xd36e982e,
+    0x161f1cf0, 0xfc633870, 0xabeab30b, 0xe4202999, 0x38c6706f, 0x1d3e79ad, 0x38897a0f, 0x43ad5aa7,
+    0x478893d3, 0x5ae46f20, 0x933080e1, 0xd203121a, 0x1681edf8, 0x009b6336, 0xde290881, 0xc9b43e0a,
+    0xfdb36368, 0x8e542b64, 0xbe1d4a76, 0xc828bb60, 0xdd28c189, 0x021b0306, 0x86c1e278, 0x5e30b780,
+    0x9cc03225, 0xf10c9320, 0xf100208e, 0x2c26ad0b, 0x529efcb7, 0xfc8be902, 0x2487d5c8, 0x27e0eceb,
+    0xb86da69c, 0xcdee7483, 0x6ce49fb2, 0xc7b33d19, 0xcf39457d, 0x97bd9a49, 0xd8f99546, 0x7b167451,
+    0x869fe195, 0x226f8436, 0x0d1a7237, 0x48ce3546, 0x9bdb75ca, 0x10957513, 0x8130dcae, 0x46f76788,
+    0x3057b8f0, 0x5e35bec9, 0x2d6c493a, 0x646ddf59, 0x3b88abf6, 0x90b706ad, 0x512d30e2, 0x6e2364b2,
+    0x2fccd294, 0xa3cda6e0, 0xb99d506e, 0xc71def0c, 0xab6e6039, 0x98c00b3c, 0xcdec7b24, 0x81de1dcd,
+    0x04dbd897, 0xa7154c94, 0xa95c0fbb, 0x4637ea1e, 0xb707830b, 0xf8ca3797, 0x8c3d52fd, 0x22a51108,
+    0x226ed6c5, 0x3a1aeb34, 0x080b6c28, 0x1b61b14e, 0xa61329e3, 0x4689e2a6, 0x61436aeb, 0x8470596a,
+    0x1abb4a55, 0xa6c4da26, 0xcaf9adc8, 0x8289c6e7, 0x0bedf5d3, 0x3762473f, 0x5ff40d31, 0x66b6efd3,
+    0x88aa3047, 0x3d688e5c, 0x1b7193a1, 0xfc2191f1, 0xefd70602, 0xab6d77fa, 0x7522be0b, 0x756d4cf7,
+    0x77f11129, 0x1d7adc84, 0xad5a0b41, 0x59e2b2c9, 0xd9cec81a, 0x60d4a33b, 0x8c1b3167, 0xc15fa9e9,
+    0x5208babc, 0x780f7d66, 0xb56d9f96, 0xfa1218da, 0x6652d347, 0x0e50bc31, 0x94780a71, 0x0da82a95,
+    0x87054f71, 0x1cb78bf1, 0x9086d6ed, 0xc75c723b, 0x786aad57, 0x56f25beb, 0x1a0d2147, 0x2baae957,
+    0x5c61760f, 0x009f72bf, 0x18cc2b80, 0x63b797c7, 0x0bb9ed67, 0x2abdd6d1, 0x1fabc295, 0x15fd9256,
+    0x03c5db73, 0x3867cfdf, 0x61685bf5, 0x894c0747, 0xda757e40, 0xab3696a9, 0x36d8d7ba, 0x6c4dea60,
+    0xd880a947, 0xfd232a77, 0x6f2cc95f, 0xe8743dbe, 0xfebd62cc, 0x005f7286, 0x5436d76b, 0xff06f11a,
+    0x380de11c, 0xd9d6faa9, 0xa1e8c157, 0x98b92ef7, 0x76dc528f, 0xb8104d57, 0xf57cd264, 0x9aad6998,
+    0xd5af670a, 0x11589d88, 0xc66b4e8e, 0xe2a93d5e, 0x3f644359, 0xfba67bde, 0xce17d89a, 0x97fc3881,
+    0x2c39fd73, 0x16077e53, 0x1674961a, 0x99487abf, 0x5311d187, 0x4e038d3c, 0xd03fce73, 0xa1002a96,
+    0x92f03af7, 0xfa81d959, 0xd181f067, 0xde52b0e5, 0xc3508b99, 0x4c007579, 0x5ecb8f14, 0x50497cb5,
+    0x816185bd, 0x2a722af7, 0x5efd1e51, 0x23e93581, 0x2e0426cc, 0x587eb2e1, 0x7022b4f1, 0xec2e51c6,
+    0xfd80db45, 0x25c75cd1, 0xebade046, 0x7f81bef8, 0xac166824, 0xcaba3c8e, 0x552c3fd9, 0x175e2e59,
+    0xd494d0a0, 0x93441541, 0xe8b44444, 0xc2078fbe, 0xcb832cb9, 0xdc2697e9, 0xf83880e0, 0x8956565e,
+    0xb746c8eb, 0x50360c76, 0xdf1cad99, 0x9f8dbc4c, 0xc696ce49, 0x86953c1a, 0x68da00bb, 0x76de1949,
+    0x56d7541a, 0x373cb0fb, 0x9051a1db, 0x31695f63, 0x3a807164, 0xf928c8bd, 0xc2882cdd, 0x57ec1f6c,
+    0x9e40959f, 0x73389e02, 0x2bc65b2d, 0x0acdf75e, 0x4aefa5ec, 0xfd66bca0, 0xec1e93f2, 0xe25268f9,
+    0xbd317377, 0x5a34bf4a, 0xed37efcd, 0xe56bfac8, 0x35056dac, 0x3b69af66, 0x3b6f9985, 0xc11d9be8,
+    0x434c92d9, 0x3e613b9e, 0xc5118837, 0x02e9a8c7, 0x0e456439, 0xefa98e35, 0xce33b8f9, 0x85d2935d,
+    0xc206be11, 0x468cd4ad, 0x8f3365d4, 0x7a9ec495, 0x00a84b40, 0x70d2dd1e, 0x5bd82b3b, 0x7c54f38a,
+    0x7f25a3a5, 0xa6269b2b, 0x37a490e1, 0xbd7ddb0c, 0x452a7ed8, 0x65f6a785, 0x3e66a0e6, 0x48fd1c34,
+    0x6597d46f, 0x737b588a, 0x4c2da434, 0x5c6e09cd, 0x2acc8af0, 0xcb49bd07, 0x3efc6575, 0x2d3bcf13,
+    0x6a117078, 0x014b9b81, 0x16415a51, 0xd68be262, 0x4520e42e, 0xa8b8e46b, 0x7463be62, 0x4cc0d89b,
+    0xd57f9a02, 0x74625d11, 0xc08387a6, 0x63fa19f4, 0xc5146b4f, 0xa12e7322, 0xa12705fb, 0xcac84bf8,
+    0x568e5338, 0x8e0062a8, 0xbbc4031c, 0xdd178319, 0xcff019f8, 0x1d0e1e08, 0x16601f60, 0xde80c975,
+    0x2581522c, 0x0a5f09d3, 0x7ecfc674, 0xd48e11d6, 0x3fc19ae8, 0x3b6abddb, 0x0280567c, 0x1b97f033,
+    0x1e1e1a4b, 0xcbf499f6, 0xf9e802cc, 0x17d27c55, 0x53e206bb, 0xc580a4bb, 0xe8b0aeaf, 0x2fec0970,
+    0x33f4d553, 0xae94d97d, 0xdc02b3fb, 0x46c14a8f, 0x9725705a, 0x14712efa, 0xc65e8c18, 0x2a8f5974,
+    0xcb5ee38a, 0x28716263, 0x7add64f9, 0x82d668cd, 0x2dc0ebb4, 0x3699da1c, 0x8404ee41, 0x84666cec,
+    0x432c180b, 0x9b7f95e0, 0x568eabad, 0xc3b460b0, 0xbae2758b, 0xbd50eaee, 0xfb86ab94, 0x81f72240,
+    0x5a3e344e, 0x4db51f2a, 0x2911e5f5, 0xe91a52ae, 0x45c0b8bc, 0x6c2ba6f1, 0x54edfe8e, 0x0b087af7,
+    0x9c877c0c, 0xfe25bc55, 0x33823a46, 0x2c47fc15, 0x6d051756, 0x2808d830, 0xc9b4ba64, 0xf0a7616f,
+    0x2c4a67e4, 0x6b50a6b6, 0x562d900b, 0x236f6066, 0xbbb04894, 0x44c7d10b, 0x0e4db2a9, 0x1a0c9eb9,
+    0x30ac3c44, 0x5f598cd7, 0xb91864ec, 0xfdb4e959, 0xb3b29bb6, 0x69d39243, 0x4bd1b526, 0x545184bb,
+    0x93e12eae, 0x8f9172cf, 0xebe1bcc9, 0x3b251c44, 0x5f045dee, 0xd14e96dc, 0x316f7466, 0xd081e27b,
+    0x02bc46d6, 0x2b2af1c6, 0x320e4d12, 0xc522d0c7, 0xfce1a48e, 0x3f1136bf, 0x4c8abcce, 0x974ec591,
+    0x3b7cc120, 0xb81114b6, 0x420ed8e2, 0xf5e83eb8, 0x98d84979, 0xa6d74ae5, 0x467c4001, 0xda4fbe1b,
+    0x1d6b1a57, 0x64dbc085, 0xd393d8a1, 0x2e3d92ed, 0xf7b0d07c, 0x169fdeda, 0x2f0cc6ec, 0xd14d32b8,
+    0x5a4db1bf, 0x950132fc, 0xdda7c7ae, 0x11f4d69d, 0xdadb1254, 0x6df4d4a3, 0x6fd6f752, 0xf812488e,
+    0xad02b808, 0x14e55b87, 0xc0a80c63, 0xf3d985c1, 0xc02f7d2c, 0x4a150a92, 0x4a0420f0, 0xa3dd48e8,
+    0x6a1296ca, 0x5e0ce097, 0x7e156ea6, 0x41d3f5c5, 0x3bff9513, 0x1bedfbae, 0x686820cc, 0x3164fb76,
+    0x3b1d81f3, 0x27ee80af, 0xe47e4d79, 0xc31ccf66, 0xcd6057ce, 0x47623cea, 0x3c419719, 0x9e4b2750,
+    0xaed365af, 0xaf39915d, 0xd1001d13, 0xdbfe7aa3, 0xad025bf3, 0x225b5b21, 0x576eb400, 0x2cab3a34,
+    0x75e00567, 0x53c90f4d, 0xfc57c881, 0x375b3f77, 0x21aba0e1, 0xf1bbd5f5, 0x1969b7bb, 0xeeae2052,
+    0xce97d7bf, 0xa4514ad0, 0xa78cd743, 0xb359c338, 0x3fe9a7c8, 0x03cffca0, 0x54661282, 0x2d58afa2,
+    0xe0803b27, 0xd5ddcbe4, 0xec3fe1ba, 0xe419a342, 0xce3d3ccc, 0x277ce184, 0x7ce6bbe3, 0x95e011b8,
+    0x9a506441, 0x02b7a113, 0xf64a8a58, 0xa0e53106, 0xc2e2d825, 0x7fd29c34, 0xa574cc8b, 0x4f911043,
+    0x24c356bd, 0x7a1b16aa, 0x5a1458ac, 0x172a5a6a, 0x6f3ae67a, 0x8da54986, 0x7ca0aa8e, 0xa63fc64f,
+    0xb73b7e8f, 0x25d01afa, 0xcb035aad, 0xed5bd563, 0x3f2b04e7, 0x764e59f2, 0xb343c1b3, 0xe2d18817,
+    0x15cafd64, 0xbd0746a6, 0xcfe82d8a, 0x24fa6921, 0x2568f9bb, 0x492d523e, 0x2f44615e, 0x5c9b8eef,
+    0x581cedd9, 0xf2219b26, 0x0fcc8527, 0x6e552adc, 0x2f77ceb9, 0x3439b4a9, 0x3ff515cc, 0x6ff2d1a5,
+    0xe2f8b034, 0x81ddc719, 0xa7683385, 0xf08f358e, 0x24c8269e, 0x2f5fe822, 0x3393630f, 0xf588c6fe,
+    0x70b486b3, 0xe6f72542, 0x0a94459a, 0xff36c0c1, 0x177c1dd8, 0xe7cc985c, 0xb5925464, 0x4c61ccba,
+    0xad1d0567, 0xfc122c87, 0xa275b4c3, 0xb598eeac, 0xdaa31837, 0xf5c34bb5, 0x33badb06, 0x8157adad,
+    0x15e55444, 0x175a5ee8, 0xfbc0fd75, 0x12800198, 0x74ffd9e9, 0xebca1fb2, 0x69ec77c5, 0xf43a83cc,
+    0x286f154a, 0xaed633dc, 0x3d0efb89, 0x500facd2, 0x3e035c3e, 0x530901e3, 0x9ff3135f, 0xcedaf76a,
+    0x70b19474, 0xabded8dc, 0x9b5f8643, 0x9ddaa197, 0x0de94975, 0x793bc261, 0x289641d2, 0xd6643550,
+    0x19bbb88f, 0x60826bc1, 0x5f32e570, 0x786d2362, 0xbb833fef, 0x8974b05c, 0x96f608c1, 0x8bb2f84b,
+    0x57b10dac, 0x2df70fa7, 0x99b639cd, 0x4b94f1e4, 0xe15110d8, 0x8b353722, 0xb9bff0ac, 0xf74a4c41,
+    0xea4e9d3e, 0x1370d385, 0xdbdcc5af, 0x29c3cca1, 0x08d43923, 0x20422a7b, 0xc8972842, 0xeb727510,
+    0x320f75ec, 0xe3e17bfe, 0x364ef1a2, 0xa0a65b09, 0xd4d52726, 0x5594d3c1, 0x089b2516, 0xf60caaef,
+    0xd5e680ed, 0xd313822a, 0xc0a1790a, 0x05578d9d, 0xa8ed543f, 0xe75afb95, 0x6bcdc582, 0x01bf58af,
+    0x8c2bbf36, 0x02defd98, 0x87884f77, 0x8d7e3d2f, 0xbb2c3500, 0x2912c8b1, 0x8d90ce99, 0x5a6d0221,
+    0x65732de7, 0x99dc0576, 0x8d9120f9, 0x7e4f8d3c, 0xf57f5a04, 0x801384c0, 0x0dbe9cb0, 0x6688efb2,
+    0xbf8c389b, 0xffbca852, 0x98127baa, 0xf7de518a, 0x3604638a, 0xf6291f82, 0x57d20b50, 0x97aa8e0b,
+    0xd966c2a9, 0x0962507a, 0x3b220419, 0x7b27382a, 0x66ec890c, 0x323247d1, 0x8380df82, 0x341b871e,
+    0xf09be634, 0x1e2aadbe, 0x8b98c7b8, 0x38969617, 0xe7d0609a, 0x755e5268, 0x4168ea7e, 0xad5a049a,
+    0xb8f8cb98, 0x60a9e2b5, 0x08da528c, 0x46d16015, 0x24fb2153, 0xf7b3f736, 0x85fc3b05, 0x91d90b97,
+    0x820d0c08, 0xa8d0cece, 0x15daa765, 0x13a88299, 0x861b13b6, 0x48c21bc0, 0x477d0b96, 0x1f9a6677,
+    0x695ed5ec, 0x9dc77ca8, 0x86e2f6f1, 0x73a24e1a, 0x1ce7894b, 0xf7e32b64, 0xb2e880bf, 0x74390671,
+    0xeadae882, 0x86d18e65, 0xd3de13ce, 0x6266e0d9, 0xb0f7932a, 0xb987134a, 0x79db4f5d, 0x08b93351,
+    0xa980ded3, 0x31fdd220, 0xefe12948, 0x0c43a23c, 0xe9d1284c, 0x699c7afe, 0x56a19b7a, 0x8e54569a,
+    0xecbe717b, 0x9237e69c, 0x6038ef49, 0xa9ad4b54, 0x170b3f15, 0xba77fd25, 0x18bc3429, 0xaaa5e780,
+    0x0ebae139, 0xdf28f7ba, 0x91a15451, 0x481e6455, 0x1849fa81, 0xfc8fef31, 0xaece840c, 0x7e514d6f,
+    0x15fbc6a1, 0x3a90c58f, 0xbd77e206, 0x06b0ac0e, 0x1f14dfe3, 0xc7e46675, 0x3f21da6d, 0x4fe7dc47,
+    0x3658d4da, 0x2d0a8a67, 0xd8ea060f, 0x6dd26fdb, 0xfd484a9f, 0xd9b2701a, 0x32c007bf, 0x41a5fb0c,
+    0xbb6934de, 0x7e5e2bac, 0x096acb56, 0xf53fb740, 0x52879e85, 0xbffa6ea7, 0x7354ae3d, 0xf7eb4b27,
+    0xd581da5c, 0x49623339, 0xf1b30034, 0x94bd0432, 0xe0b9800b, 0xfaac0621, 0x5ae05e2b, 0x197367e4,
+    0xd7fbefeb, 0x5d514a18, 0x0666b870, 0xf2888ef4, 0x6053511d, 0x6e9761a7, 0x5031c6f0, 0x6336129f,
+    0xc333be59, 0x0513bfb7, 0x343954d9, 0x2c8eb5e4, 0x3e75d9f3, 0x6bd664b4, 0xf53f5cc4, 0xada9442d,
+    0x3f4e6e22, 0x5107bc34, 0xce7a7dca, 0x593349fc, 0x561a7296, 0xfb9e7a4d, 0x9332a7fa, 0xd31e0367,
+    0x7933e05e, 0xc8746eb4, 0xbd89f878, 0x4a9b6329, 0xa1d6d020, 0x2bdb0e69, 0x6603c483, 0x7163eb94,
+    0xc7c83e43, 0x4f383635, 0x25d0f9e3, 0x42d2699c, 0x3167f5af, 0xe58a6497, 0xee54fe06, 0x6c6e5512,
+    0x40a697c7, 0xe6258478, 0x0d0182a1, 0x808853d0, 0xd38d48ec, 0xac0477d3, 0x7efd5123, 0xe1db77b3,
+    0x2d62e4a5, 0xe51c2aec, 0xa5b9cf04, 0x534d07db, 0xb46430a7, 0x5f2f6d1d, 0x58bc07b3, 0x2791caea,
+    0x720c853b, 0x61d7d7cd, 0x291b0f5e, 0xed98ecad, 0xb1ab5e5f, 0x4ec7c199, 0x2419da59, 0x7fe37462,
+    0xf979190a, 0xf810906d, 0xe4368229, 0xd1981832, 0x7afbc168, 0x2f164497, 0xe3d7bb31, 0xf930aad7,
+    0x6b495cbc, 0x4ac46a57, 0xb8f47bb6, 0x24f83407, 0x638f9afe, 0x5cf4c540, 0xb99ba75d, 0x5c552768,
+    0xdf006b2b, 0x11335bab, 0xc456d114, 0xe0e8cb26, 0x0e970427, 0x19ffccab, 0xa09a060a, 0x1d1e138e,
+    0xea813522, 0x94dc85bd, 0xaf19a03f, 0xbab6968d, 0xebd8fa6b, 0x698c8b26, 0x49a83c6a, 0xbcad97d6,
+    0xda4c5e97, 0xd4b65872, 0x6a8cf0e6, 0x95a7e04f, 0x16cccaaa, 0xfabb5580, 0xb23b2ea6, 0x0ef51edd,
+    0x7451a784, 0x6932f974, 0xeeb714f9, 0x8ba252a4, 0x1ec483e1, 0x3b29c5b5, 0x8acf2a66, 0xd7e7eb86,
+    0x46f1d226, 0xde8a0011, 0xba543634, 0x72b80cb7, 0x396f71a2, 0x925601f7, 0x045366b6, 0x0b744646,
+    0x837c2915, 0x46a04c68, 0x3e61b536, 0xbd034c24, 0xd3b5d17c, 0xd87fd675, 0xb2ca783d, 0x91164d8c,
+    0x00000000,
+    0xb6587b42, 0xfffffff2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000017179869184 */
+  { 0x00000000,
+    0x1b7addbf, 0xb7788c9d, 0x82ebca82, 0x35e07d78, 0x47c9240d, 0xfa387297, 0x27f1da51, 0x0e15f31b,
+    0x9353242d, 0xf0cce8c8, 0xe105e9fa, 0xdf6f07e8, 0x73d20b94, 0x451f7129, 0x4e4a5fa4, 0x2a863bed,
+    0xf94dec1b, 0xcbf248c1, 0x317cf931, 0xb12eeada, 0x8264a399, 0x5496845f, 0xdf102c18, 0xea85f3e3,
+    0x540802f3, 0xe921cb2f, 0x4b5e791f, 0x734a42e5, 0x9896f3b6, 0xb043914c, 0x5a489861, 0x3a0dc559,
+    0x140d7230, 0xa007d58c, 0x01564688, 0xa8fefc9b, 0x6084c816, 0xa6709762, 0xc1830ee1, 0xf143f691,
+    0xbd9e944e, 0x11ece018, 0x49d1823c, 0xe664797a, 0xc38da0ac, 0x0aebfb1c, 0x2b5bc0a6, 0x2d3a6043,
+    0x64fbf5e1, 0x80597ea6, 0x73720c9a, 0x66f295b2, 0xecb082a4, 0xf56759a3, 0xce1efeca, 0x6f7f5bab,
+    0x184a16ed, 0xe5b711ec, 0x46e2b284, 0x0274ec43, 0x37156db6, 0x79c7f54d, 0xade7990e, 0x1d082620,
+    0xf41c8477, 0x7317186b, 0xbd4eeccb, 0x365483e7, 0xd8b67230, 0x697067c7, 0x8bfa1119, 0x78d24eb6,
+    0x58f5cc4a, 0x75f551ff, 0x0bf67477, 0x5ab1d4f7, 0xbeb21329, 0xaeb59f11, 0x8a13fa74, 0x1a370970,
+    0x277f0619, 0xa445b921, 0xa75308f0, 0x6de3634e, 0x8fc5343a, 0x4b7561b6, 0xb36e2f59, 0x04c207bb,
+    0x1b98612b, 0xe2cd297c, 0x7ebc4b90, 0x60a8e349, 0xa57c03e7, 0x4b4d5075, 0x62a553b1, 0x5fbbdf9a,
+    0x6216d5bd, 0x9dcc239f, 0x4a6729f8, 0x5a5ff97b, 0xefdc0b60, 0x335ccfb1, 0x259d4806, 0xda03847b,
+    0xe7d0de80, 0xb498da1d, 0x017c917d, 0x3bd5e9f2, 0x6b245c73, 0x92df7efb, 0x5f8d74b2, 0xfc8ed210,
+    0x888e9015, 0xe114d94c, 0xa74b77ef, 0x1c306d70, 0xba4665c6, 0xc97980bc, 0x207d1a60, 0x39c34b7e,
+    0xac5bf447, 0x6b5caac3, 0x51d5e6fc, 0x5fe30790, 0xd0b3527a, 0x39c9bd43, 0x520b2f35, 0xdf513df9,
+    0x2c9d7fe5, 0xcfb1ec31, 0xa00a943f, 0x1519182b, 0xba3deb6b, 0xb2ce9fea, 0xb0757e01, 0x276c6bb9,
+    0x8dd92bc0, 0x023bd2a0, 0x133ebf03, 0x44d7b9ee, 0x75a9c336, 0x3bb622de, 0xece8ddd0, 0x7709e8fc,
+    0xdfbd0184, 0x55d43d23, 0x2046cda2, 0x6c503154, 0xe1494858, 0x0c521c91, 0x561bbe17, 0xd1a1dd51,
+    0xa8e958c4, 0xb8eade7f, 0x3a804ddc, 0x86cdce20, 0xf753838a, 0xaf039563, 0xc4b6cf55, 0x1faa1411,
+    0xb3e6c526, 0xc2a0eb4f, 0x4a68dca5, 0x0e22389f, 0x3ad20e42, 0xa9a18117, 0x7efdbdde, 0x0305a419,
+    0xa3620157, 0x1f049659, 0x66512b3f, 0x8b5ca7be, 0x1fc3211b, 0xf695892d, 0xe4044023, 0xfb304c13,
+    0x57c26696, 0x23a4033f, 0x678d796c, 0x499512ec, 0x609c65b2, 0x30d54edf, 0xc340a514, 0x38126c2f,
+    0x20d62316, 0xe220abe8, 0x34df54cc, 0xd7ef8cd7, 0x28080439, 0xddc799a6, 0x42981ffa, 0xf3bf7fb6,
+    0x81357814, 0x13ac4e29, 0x82c7539a, 0xbe006f24, 0x8a84847d, 0x08f9ff97, 0x9f852764, 0xa0e53418,
+    0x80b29d73, 0x66cba6f3, 0x0fe7c4af, 0x192523c2, 0x2a3cbc8f, 0xea8db2c4, 0x3daa4c88, 0xb1a9578c,
+    0xde1c795d, 0xa655a9a8, 0x625a22ca, 0x20ca18f8, 0x6f263b77, 0x10392270, 0x8bd8bbe3, 0xc3930f08,
+    0x55223e27, 0x93c0e821, 0x16454837, 0x9e5dbccf, 0x9d192a9c, 0x1fc61bcb, 0x9e6ec6f1, 0xf153d06e,
+    0x69a3b2b8, 0x3ae8fbd0, 0xaca7d908, 0x3db809b4, 0x1f669ab8, 0x421886b1, 0x27912da3, 0xc4b706ed,
+    0x7871b68e, 0x433cb418, 0x86e623a9, 0x2878670d, 0x48871192, 0x4ee06f7b, 0xa09ee9da, 0xed2f218f,
+    0xa0fb4044, 0x49039850, 0x61e1c260, 0x15eac6e9, 0x94e10c77, 0x7aab78f5, 0x780cca56, 0x49186af4,
+    0x9dcc9f96, 0xaaa52c97, 0x51f6656f, 0x1b79ae3f, 0xc28dafc2, 0x14fb067b, 0x68a166a2, 0x4448c8f6,
+    0x9f7ed4fd, 0xba4797b9, 0xafd4e8cb, 0xd146adbb, 0xe09861d2, 0x15660224, 0x39941ee0, 0x64df8711,
+    0x127141a6, 0xa5d8bfca, 0xaa0126da, 0xd363f477, 0x83152468, 0xa9f1e525, 0x5492a68b, 0xfb93d14a,
+    0xb5975195, 0x992d39b0, 0x5eb0c2e5, 0x5cf0fcab, 0x50f34749, 0xe27b490b, 0x8fc2b5bf, 0xee6aa725,
+    0x4004d11c, 0xb86a2ed1, 0x99691437, 0x3f35938f, 0x8ede04d6, 0xdfc7e41f, 0xb800f1b4, 0xf4d33be7,
+    0xdb9e2c4b, 0x46ec16ad, 0x707c6909, 0xa5b4ed72, 0x21677967, 0x66ca556c, 0x5607088d, 0x32e40732,
+    0x21a88084, 0xaedf6951, 0xa587508c, 0xfff1ce6b, 0x0e40c510, 0x47d7fedb, 0xc3d73177, 0xb2cde0f2,
+    0xcb32875e, 0xbf51a3eb, 0x24e60c61, 0x62444f85, 0x7b3b45b3, 0xe1a56c60, 0x15454671, 0x8ccd93f2,
+    0x6dc17420, 0xd825c2ed, 0x11071f74, 0x024968ce, 0x3654e311, 0x7cc18a99, 0xd036aa97, 0xbe5d48b3,
+    0xfb7d84af, 0x760cba91, 0xa9371e68, 0x92114ef6, 0x849010f6, 0x43dbb758, 0x60379a2c, 0xb83dc1d7,
+    0xf45eaf91, 0x0003d39c, 0x62063877, 0xd2161853, 0xf6b526d2, 0xc4b52fc4, 0x0d4e5109, 0x90e88772,
+    0x15987e8e, 0x338c085a, 0x004748d1, 0xee8e3a99, 0x711ced37, 0x49f09fa5, 0xa06280b9, 0xa46a82a6,
+    0x0b638e98, 0x2ebfaf9f, 0x6d0f3910, 0xe3c89dcd, 0x1ede7ae7, 0x9bf8086c, 0x21c015fd, 0x90c94f8c,
+    0xe4a5d426, 0xfb3edfc0, 0xeeef56ff, 0xe05a1146, 0xd48cb955, 0xcb815644, 0x1c1b96ba, 0x6079ca2b,
+    0x90ff0017, 0x546fa62b, 0x55284d6c, 0x479820d7, 0x57539215, 0x5e851f2f, 0xc2458a0b, 0x9df3faf1,
+    0xcabdfcce, 0xc81215f4, 0x4d5a72ea, 0xdd971687, 0x0101d364, 0xaabf85fd, 0xf0e78d6a, 0xc408ddb0,
+    0x93067a4a, 0x55c8101b, 0xe03130be, 0xb27700ec, 0x4fd927db, 0x2c8ee358, 0x238b6c66, 0x09e57ad2,
+    0x4a220bff, 0x374a57db, 0x76ec4fe1, 0x302119dd, 0xd9d5827d, 0x74f017fe, 0xc8491d13, 0xba3b48a6,
+    0xe5d649ae, 0xe0983d88, 0xca0f1796, 0x67767e35, 0x48228102, 0xfd3cb738, 0xe2892104, 0x2149c316,
+    0xf2a9120f, 0x17f75083, 0x95c1a26f, 0x44da52f4, 0x70fa81b8, 0xc201518e, 0x4fbe8dea, 0xfbde6a27,
+    0x8039ad89, 0x9b8e595e, 0x2a1bccb1, 0x0159ed5d, 0x85c63ae2, 0x874eef89, 0x7e5f24cc, 0x79c9516c,
+    0x82ec783d, 0x5103b104, 0x16a64d7b, 0x1860a424, 0x4dbc195c, 0xe4f6fa78, 0xdb6e6a13, 0xdcd56e5c,
+    0x309086c0, 0xb6831ffc, 0x7943d8cf, 0x3b8566b4, 0x81535fff, 0x37cca3dc, 0xc6fa9106, 0x28b98093,
+    0x1010cc08, 0x4774add2, 0x0c215505, 0x724fb086, 0x3c0402d6, 0x150391f9, 0xba75b138, 0x6e055849,
+    0x287b1823, 0xabf9dbe4, 0xe5260114, 0x08fe603d, 0xa0255990, 0x824063d4, 0x3768f51c, 0xdcad5e37,
+    0x8d6b7d16, 0x57528224, 0x21dc4021, 0x7301a6ee, 0x13a68af9, 0x7c250e1b, 0x59224755, 0x4e0d77c5,
+    0x06606e5d, 0xd508f7fd, 0x37227215, 0xd934a9a6, 0x08f39a2d, 0x26983c2f, 0xcaa29c0c, 0x81502023,
+    0xc16db8bb, 0x4963e0f6, 0x2f99713b, 0x845029e2, 0x9c47b88c, 0x3d916f49, 0xa55b5865, 0x225fb92c,
+    0x38b4aefc, 0xe9bc8a0a, 0xac95e9e9, 0x39a1a4d3, 0x010038b0, 0x9d4c7306, 0x3d36e37f, 0xf2aca3ed,
+    0xbf3b800c, 0x35e8052d, 0x14a3af18, 0x251df78f, 0x900cfaca, 0xe42620e0, 0x13978016, 0x8c88f66b,
+    0xff215c23, 0x3b05f98c, 0x778ab154, 0x412bede7, 0xe7daab71, 0xc299530d, 0x9dbd1dde, 0x1a94415a,
+    0xcdf5ebe3, 0xb233b017, 0x4c353adc, 0x5bd1ea9b, 0xe032212f, 0x54aab69f, 0x9e3dde25, 0x941b2094,
+    0xcda5d04c, 0x385f298a, 0xfb818251, 0x0f6aa5f3, 0x13c93316, 0xdcc664b4, 0xb17a9f2e, 0x2a6c5207,
+    0x9b0f99e6, 0xe3561e2b, 0x8e1f8ede, 0x49460d0e, 0x9f9cb9dd, 0xdd99573c, 0x5482b4c8, 0x026bb591,
+    0x2d14cd69, 0xcfe3f7d9, 0xc1513c02, 0x48a1af59, 0xfec9ad0d, 0xbb22aa53, 0x93525245, 0xd6c9f91a,
+    0xed6ffb6d, 0x5d5e6441, 0x94650537, 0x3669e102, 0xd25e6b8f, 0xac9da4c7, 0x8cb1d7e2, 0x9fc3d7f0,
+    0x15e0cd17, 0x7a9a8d84, 0x76660410, 0x1685458c, 0x4ac9abca, 0x14383d39, 0xa209e110, 0xc2e5f25d,
+    0xdd4ce712, 0x26845baa, 0x69ba64fc, 0xa2e5ff2b, 0xf6d92853, 0x05c0d646, 0x2a7a4e15, 0x04847216,
+    0xdde68833, 0x808f4dcb, 0x704712fb, 0xf8e8acb0, 0x8d60f453, 0xdbf286f7, 0xd9fb12fd, 0x29887b54,
+    0xc7f0d701, 0x17973a61, 0x17619565, 0x63711650, 0xaa992043, 0x3d84f150, 0x9f3427c7, 0x4349c21d,
+    0x687cdfeb, 0x16b1721e, 0x4481dc2c, 0xb997cb89, 0x6b8ec49b, 0x5f8bf5de, 0x721393f8, 0x1ae71929,
+    0xe08e5e9e, 0x1506342d, 0x0d169152, 0xb0290fbb, 0x1ae82013, 0xb6b0e41d, 0x7e4d6321, 0xd46f5dc3,
+    0xe9249fca, 0xbd8fb668, 0xce9fc854, 0xdf924640, 0x5f4976a9, 0xbd5d2d2c, 0xaf219640, 0xf9cf9a0c,
+    0x8e970da3, 0x5cc091de, 0x60bf5a23, 0x6ce6710f, 0x1839c596, 0x105ce1a7, 0x90c4f915, 0xa8258d37,
+    0x5679407c, 0xc59f0535, 0xc1ac3701, 0x1498eb20, 0x23958b89, 0xb2b8359e, 0x8edae3f5, 0x0e539aac,
+    0x4f843bc9, 0x66cb91f9, 0x606c35fd, 0xcf31b185, 0x987865a2, 0x4795f97d, 0x659ecc19, 0xa2f0a777,
+    0x8a4e4482, 0xb6969e80, 0x5bfceee4, 0x2be628eb, 0x265f08e1, 0xddd3acf2, 0x36c87445, 0x46bb3a1d,
+    0x028d1b64, 0x120a7fad, 0x0fcfd4ff, 0x43ed9024, 0x5c72d98c, 0x9342c6e0, 0xcfadaa30, 0xebd467d9,
+    0x8b3cf64a, 0xe6d1c43e, 0x0dce1b29, 0x36601937, 0x03ae6f36, 0x374d3d75, 0x4c70a956, 0xb4a67fa3,
+    0xe06e4a8d, 0xdb44be86, 0x9299f49b, 0x24a40207, 0xaaa8fa51, 0x9034feb0, 0x1ffcbc5e, 0x2b524d21,
+    0xdf58bc65, 0xff7fb501, 0x29454c86, 0xbc663444, 0xa975bb3b, 0xb6503176, 0xe4dfec1d, 0xb80ed2fa,
+    0xaa0ec600, 0x05673e86, 0x274b7809, 0x542de577, 0x775d2f1e, 0xeef02bc8, 0x50f291ef, 0x8f334db3,
+    0x168392e8, 0x8da000ce, 0x1ba5e99d, 0x289ffbde, 0xbc652a67, 0xc8ca26c0, 0x5714af18, 0xbffa2db3,
+    0xdc11751c, 0x13c9a5c9, 0x700ecf67, 0x9a9601b8, 0x71342911, 0xa52ccd8d, 0xa9acff77, 0xa9039b51,
+    0x080e8c53, 0x9fb8d82f, 0x8f130ee6, 0x13bab949, 0x7e8dda98, 0xa8401e3b, 0x6d689c4b, 0x6f6c8527,
+    0x11f50010, 0x3a846a31, 0xfa52e90e, 0x2d0d52e3, 0xc1dc2278, 0x6002891f, 0x25ddd65f, 0xfa03fac3,
+    0x5f376883, 0xf15963de, 0xb59a9457, 0xdc789864, 0xd9114f52, 0x0323b5a2, 0xd6a537d0, 0x68ef9f8f,
+    0xf45912ac, 0x0b73c60c, 0xfde3f31a, 0xd8dbccdb, 0x2e2242fa, 0x6c6f0b39, 0x25d81eb9, 0xf5c73c05,
+    0xed9442eb, 0xb3104fcc, 0xfad754d8, 0xf2d549b4, 0x371d6572, 0x212b9484, 0x3afdd197, 0xcf08d139,
+    0xe5fc3e4e, 0x08fbff11, 0x7d486639, 0xcf709199, 0x39b87226, 0x6d1522eb, 0x8e5a9848, 0x38824c7e,
+    0x06822d8b, 0xa857d497, 0x1f573402, 0x724c4672, 0x91cf7d14, 0x874df0ee, 0x68612c0e, 0xdaed26f3,
+    0xb959ea08, 0xe6d28b9e, 0x71fbe703, 0xeb5a2b99, 0x6396f567, 0xa6ccd61d, 0x1c4472f1, 0x4c8fd363,
+    0x49bcc33b, 0xd6518a3d, 0x850524f4, 0x0599d105, 0xa83b9687, 0x5556a9f3, 0x7a3f9242, 0x20fe5401,
+    0x5b5c4f7d, 0xcd4853a9, 0x5fa18252, 0xf5426359, 0x94b6b083, 0x10a1c4ee, 0xe36097e1, 0x8ce58a33,
+    0x5c38aef2, 0x7803add3, 0x650c93fc, 0x85f76905, 0xa0db43b3, 0x29b6f0e4, 0xb5e5421c, 0xfd72d504,
+    0x763242d9, 0xfdf083f7, 0x53b2b927, 0x58122dc4, 0x18aafcf6, 0xf6d51c51, 0x77d243b1, 0xa272b53d,
+    0xecea1977, 0xdc4fa6b0, 0x27876e9b, 0x879a2ce3, 0xf351bf51, 0x94cf0e99, 0xabf6ed9b, 0x13b528b9,
+    0x0a9e0c47, 0x09eefc77, 0x879ebca8, 0x437d70d2, 0xe1921ac1, 0x93a514a7, 0x8a0947cc, 0x57e0b42f,
+    0xbdedf4da, 0x88c6f4ff, 0xc59131de, 0xfac8cc65, 0xd3370d7c, 0x904e0ca4, 0x996b453f, 0x13b07f8e,
+    0x136739c3, 0x9b2270d1, 0x946da108, 0xc65663a9, 0xb920881a, 0xcde98b87, 0x8acbf94a, 0x3dfc7176,
+    0x9f7c3fea, 0x72e0f8da, 0xb69ec74e, 0x3ad4b34e, 0x8fec4147, 0xd805192e, 0xffe640d4, 0x9246333b,
+    0x06fccec1, 0x52c9daef, 0x9a4f1d59, 0x63d79e7c, 0x21032603, 0x0d950990, 0xe6d4525d, 0x3e75cd25,
+    0x459044b6, 0xf118e910, 0x736e5add, 0x893e9836, 0xeda32410, 0xfa70b93b, 0x4a263427, 0x99e3fd1b,
+    0x51a4aab3, 0xb7929215, 0x683deda1, 0x263fa04c, 0x1aba470c, 0x4bacfed0, 0x261a10f4, 0x0fc5e67f,
+    0xa9c6cb88, 0x77180db3, 0x64f23e9c, 0xe0f58e81, 0x1b83aac8, 0xb72cfc1b, 0x6632d2e9, 0xfdbcd173,
+    0x96fb96c5, 0x0aa29f6f, 0x731598a6, 0xf2435a84, 0x94008d0d, 0x17c7fb4f, 0xc410ffef, 0x02132bae,
+    0xe89594e3, 0x9aa870ca, 0xc73f10d3, 0xba114f2b, 0x38b79661, 0xa2d8a28e, 0x79be4acd, 0x17ff3a5e,
+    0x6dd1de7a, 0x282ab443, 0x62be329c, 0xedbe09e9, 0x762ef1f7, 0x7e85a901, 0xbbad792d, 0x3d39623a,
+    0x93633072, 0xc061f818, 0x148f8596, 0x91984736, 0x6b5ab3cd, 0x686658e5, 0x27326878, 0x5d3dd2fc,
+    0x98bd222a, 0xec2d4dd7, 0x483450a8, 0xeb066287, 0x1a932155, 0xe5307ff9, 0xa86b150e, 0x4b2e9b94,
+    0x949ce313, 0xe491ae8a, 0x04b7033b, 0xf2e8b6ce, 0xe670985a, 0x31d1c9e2, 0xb7c2e0f6, 0xb97b36c4,
+    0x3a29c88c, 0x70fe2a80, 0xf7a6f9b3, 0x1ce53c59, 0x23e3333a, 0x64c42304, 0xd244e1ea, 0xbddcfc37,
+    0xd69e60c9, 0x9051d737, 0x87a7b75a, 0x69e5e101, 0xf76d669b, 0x47ccace0, 0x77da0599, 0xf930c668,
+    0x281ad554, 0xeaf776a5, 0x476807e6, 0xa518df60, 0xec261978, 0x8a9c052b, 0x76fc614a, 0x87d647da,
+    0x266ef580, 0xca0be524, 0xaaeb11b5, 0xe5a5c96a, 0xf232601c, 0x15830118, 0x1a3a5fbc, 0xf5b25343,
+    0xd2131e76, 0xd7b486d7, 0x56d098bc, 0x27847c14, 0x67a1f86c, 0x6e577992, 0xca04d4cc, 0xa5be29f3,
+    0x8785b716, 0x619a6f24, 0xf22be9ed, 0x656dac84, 0xcd771af2, 0x3429cfbf, 0xf9245e71, 0xee0960cc,
+    0x000aeb0d, 0xa27eba84, 0x8ded7979, 0xcbedc22b, 0x6383a8df, 0x03c48c46, 0xd03d65a7, 0x018ebd46,
+    0x13758b15, 0x88e4ed2f, 0x2b111339, 0xc4881311, 0x57e97d26, 0x6a8e22b4, 0xf81afc4a, 0x830aafbb,
+    0x06db76f6, 0x4e70f270, 0x75d79427, 0x60d36170, 0x07114731, 0x9229b072, 0x84d9a4cc, 0xb7672381,
+    0xebdac64a, 0x934faf44, 0x071fff77, 0x824aee98, 0xaa2e2cad, 0xa33d9f24, 0xe80acff1, 0x1e7f5b70,
+    0x5488f5d3, 0x8c3a4aba, 0xbfc611a7, 0x94df262a, 0xa93a4d7e, 0xc304828c, 0x45cb5ebd, 0x94785cb2,
+    0x38638e62, 0x901ce734, 0x05931129, 0x1bcc35d8, 0x0f19a96b, 0x21a2b3fc, 0xa42d4165, 0x5df8ea6b,
+    0xb00a4de1, 0x96974dff, 0x9c6cb3e0, 0xbcc944c4, 0xc670202b, 0xbfb35405, 0x370cd13d, 0x070f3af0,
+    0xae283528, 0x137872c2, 0x77b87ad8, 0x654c4461, 0xb92c75f2, 0x8e591e34, 0xca3ef172, 0xc0b92fb9,
+    0x00000000,
+    0x5b2c3da0, 0xfffffff9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000008589934592 */
+  { 0x00000000,
+    0xf11edebd, 0xe6e339d4, 0xacb25b0d, 0x25ee8493, 0x04b4ca5e, 0x0a76bdc7, 0x3d3bde8b, 0x6f0c240d,
+    0x9027426b, 0x57cfd7ac, 0xb7da23c9, 0xb66ab5d4, 0xf72dda33, 0x9f4ed8e1, 0xcf978376, 0x592def4d,
+    0x4b978132, 0x8147be3f, 0x0baa84fd, 0xbd8661a2, 0x7b3d644b, 0x6edc3eca, 0x6e26f240, 0x3177c1fa,
+    0xf6f84af2, 0x2b058147, 0xab8fe68b, 0xfd585629, 0xf2a477fd, 0xcb9ef85c, 0xc44de517, 0xa0f34454,
+    0x1bb31ca4, 0x666c65ea, 0xfbc3672d, 0xd881ab90, 0xd383307b, 0x5c4574ed, 0x1e897da8, 0x26717769,
+    0xeeafd63f, 0x24613816, 0xb6ecb6b8, 0x5d81a62e, 0x4537d38b, 0x82a4bace, 0xba9c31dc, 0x08798a3d,
+    0xd901e18d, 0x527a9e02, 0x0e2277b6, 0x1ab7f8ce, 0x6b1ed58b, 0x5a9b82b6, 0xbcfecb94, 0xb4dea53f,
+    0xa9545016, 0x01bcd86c, 0x66b1831d, 0xc44bd679, 0xe1dbe7f5, 0xc3582d7e, 0x9af566ef, 0xb9c94e70,
+    0x63ae7880, 0x215dec0d, 0xb8329fc3, 0x6983c6d1, 0xe5dce138, 0x6f28f576, 0xf805b59f, 0xee82a196,
+    0xca99bea8, 0x18d40a44, 0x32c4202a, 0x5a63dd11, 0x6be26b7c, 0x544bc338, 0x2613d28e, 0x43efcc5e,
+    0x73c43e8f, 0xec503af2, 0x610b0f01, 0x56cee6a7, 0x284f93d2, 0xc0af87a2, 0xcb911105, 0xc9edf009,
+    0xa1ade4fc, 0x7bd52de8, 0x144dc353, 0x9f8f6416, 0x21b2eaf2, 0xb78e4b8b, 0xf09a809a, 0x1cc3e155,
+    0xf8700a5c, 0x60b21973, 0x046b8b88, 0x59c25775, 0x04c4d959, 0x7e0205d7, 0xfcd872fe, 0xa51d94fe,
+    0x86800881, 0x19f59e14, 0xd3e03340, 0x9e09ddf5, 0x775d0946, 0x86ceba62, 0x49ce5ba4, 0x0e2c8b9c,
+    0x976219dc, 0xccc1a428, 0x49e4065a, 0x77a4e2b5, 0x60af044d, 0x0f21b8d5, 0x5f40edc6, 0x9793c4cc,
+    0x14d55775, 0x2a281393, 0xaf314a81, 0x8135da89, 0xebe2ba69, 0x5e33b7f5, 0xa8927a87, 0x04c24d52,
+    0x7b30bf66, 0xa0cfe042, 0x0b21da45, 0x10e13d46, 0x33720684, 0xe833fdd9, 0x3fa62534, 0xca6bbb85,
+    0x6428cd67, 0x084e041b, 0x2e7d5e78, 0x3296b2d5, 0xe61f3b24, 0xcd6186db, 0x4d2a001e, 0xd4914f09,
+    0xdbffb106, 0x2785cc65, 0x70c2d27e, 0x5a9240a0, 0x99c744d7, 0x3c2f2560, 0x8dbcc531, 0x23fab132,
+    0xe79187b3, 0xf4381bf9, 0x24ecdc86, 0x00ec2a7a, 0x55733cf5, 0x444e72b1, 0x501abf00, 0x79cf5906,
+    0x6da8f170, 0xc03693cd, 0x8fcea16f, 0x365ec238, 0x619316fe, 0x8aa45985, 0xe6844a9a, 0x48734ce5,
+    0x22b361c6, 0xdd15c106, 0x04615116, 0x707dc9b6, 0xe04d40f9, 0xbedb715d, 0x43147ef8, 0x6d93207d,
+    0xe2371f28, 0x1cc4c316, 0x4460c365, 0x768e770c, 0xed168928, 0x91768893, 0xf08e2965, 0xa80f521c,
+    0xd94df691, 0x418ad947, 0x8f5030ed, 0x06ba48db, 0xc9bb19c3, 0x6c8fb3d1, 0x7ac76e73, 0x488330cc,
+    0x3ae2d9b3, 0x9973aa31, 0x400b9ef2, 0x2fc29e6d, 0xd14de530, 0x1cfe0cc3, 0xcd1d6542, 0x4f1ec07d,
+    0x07f76ff3, 0x4b422463, 0x64e8ea72, 0xac587461, 0xc4f6323a, 0x6da43fb4, 0x590ad3a3, 0xf599bbd1,
+    0xea0b5ad6, 0x1b1699f4, 0xd7db5122, 0xeea238ec, 0x5687caa5, 0xa0f209ff, 0xf75c354d, 0xb341f7e8,
+    0x90a638d1, 0x94e933ca, 0xf74a6d6d, 0x30b39d1f, 0x01b8190d, 0x90dea70c, 0x0f7b4525, 0xf7519898,
+    0x5d2fb9dc, 0x76eaec6e, 0xfaaee7f8, 0xeb5d94a9, 0xfa1a8237, 0xa2790344, 0xf533ec0d, 0xc55ad6ad,
+    0xb38faff1, 0xc3878c94, 0x27eff12f, 0x4e83ef4e, 0x8df39bf5, 0x3b5b5ce2, 0x979f9609, 0x5b39c26a,
+    0xf604cfc9, 0x3c51913e, 0xb1042843, 0x8c7f42cb, 0x660221f5, 0x68d45bbe, 0xa9097869, 0x3cde2788,
+    0xe4087b6d, 0x95064959, 0x1ab81d90, 0xcc671082, 0x8e5392be, 0x8833cd9a, 0xf7baf4cf, 0x1b8f805e,
+    0x466ab36c, 0x1dd4660e, 0x969602a7, 0x91698a13, 0x614c282c, 0xeb0ed5c7, 0x222babb2, 0x325190d0,
+    0xd67f01b1, 0xce39be15, 0xc7d23823, 0x488703db, 0xd7948c90, 0x32b2da2c, 0xe0e81251, 0xd878aa58,
+    0xe5818d30, 0x6562e453, 0x48842a33, 0x5e4a6d33, 0x98e288b3, 0x1be66963, 0xef9eb5e7, 0x291e2862,
+    0xb532b78b, 0x05018029, 0xc0238807, 0x251e8463, 0xfae6e593, 0x62e3d814, 0xad7f6f96, 0x5b43806b,
+    0x44ef8bb1, 0x10785503, 0x995dd00f, 0xc7f9ac43, 0xfe273bce, 0xe3c0519f, 0x8cf9c38a, 0x2e6bd68d,
+    0xc26108d1, 0xbd365a5f, 0xd98cb222, 0x7b65ac6a, 0x87f26950, 0x80e96e33, 0x145fbe91, 0x140cc4c6,
+    0x8904116a, 0x77d1de25, 0x15b59b93, 0x30fede68, 0x8f85f88c, 0x2c2cadde, 0x1cbeaf11, 0x8e8d952d,
+    0xbf549454, 0x73a42d97, 0x01b7fee7, 0xa8e54c2a, 0x2148ae72, 0x640ece7e, 0x873fc84e, 0xed4ff312,
+    0x6e6c2347, 0x4756267a, 0x6115eec5, 0x515ff9c0, 0x0de2b802, 0xe1b66753, 0x519bdd26, 0x9c5e4274,
+    0xcb2c1634, 0x42a5d46e, 0xea80b12d, 0xe760e3fb, 0x4ff18595, 0x08eb97b1, 0xf6bd8384, 0x4472e3de,
+    0xfe93bc50, 0xfa002a0a, 0x087a4ebb, 0x2a93f7fa, 0x473aecca, 0x85c7fa62, 0x2df6b2bd, 0xd640635c,
+    0x4b7acfcd, 0xd594c7a7, 0x59d5cfe0, 0x5d481d19, 0xf1248fcb, 0x8a537da2, 0x5e0b1e69, 0xa7f04a1c,
+    0xd05f8ae9, 0xb5de6723, 0x6c04eefe, 0x705bd468, 0x10cc68cb, 0x9ff0c6e8, 0x16ac9ea2, 0x040706fa,
+    0x59cb9406, 0x3066db9a, 0x4e658e27, 0x9866c7d0, 0x5fba55d3, 0x120636f9, 0x2894995b, 0x4129509d,
+    0x693e1d63, 0xa1c0afac, 0x56e27546, 0x4d96ead3, 0xe971c30f, 0x8bf16d7f, 0xe39f41df, 0x8c0e2359,
+    0x83d94af1, 0xbdbd085b, 0x0332818e, 0x0a55395b, 0x827a6c76, 0x241e89b7, 0x721b432b, 0x09ddb5c1,
+    0x3b29f769, 0xba51d27d, 0xa2f94105, 0xce4840ec, 0x2cf4623b, 0x04054469, 0x9f72bc74, 0xe73414d4,
+    0x43e476f4, 0x036146e3, 0x1f556904, 0x4c4249bb, 0x8a0c959e, 0x64e6e175, 0xc46beed8, 0xd9f28539,
+    0x60f76419, 0xdc3971f3, 0x0ea80c71, 0xa09fa88a, 0x680328f7, 0xfb130688, 0x3ba40400, 0xdf815ef6,
+    0x7923f61f, 0x5e18a00a, 0x542f18c9, 0x2eee3a93, 0x460354a2, 0x3eeb0047, 0x2019a3fc, 0xd44338b7,
+    0x3e5c3957, 0x6e51bbb5, 0xaff03ee8, 0x0e159f4a, 0x2d28afe4, 0x1cca00f0, 0x4acf1e3d, 0xb2f1961c,
+    0x22a53565, 0x5bdc0826, 0x396a35c7, 0x026f8099, 0xe9963c19, 0x56c69dcf, 0x14ca1255, 0xe79239a7,
+    0x0f2b2928, 0x6798caed, 0x0847b5c7, 0xb87d1c08, 0x5995fa32, 0xc996789b, 0x542f2f7a, 0x5c7af9de,
+    0x6a06e3ed, 0x62b67f35, 0x4b4eaa70, 0x8549f57e, 0x12fb034d, 0x860d9f64, 0x67e184f0, 0x0b5dfb25,
+    0xd580a248, 0x6d80bd8f, 0x74bc6902, 0xb781863b, 0x4256a0da, 0x8c435d61, 0x6d035842, 0x94d0348f,
+    0xea95921d, 0xd363eba4, 0xada99526, 0xe458ecb3, 0x3facdada, 0x642d49b2, 0xab24abc4, 0xe1512e2b,
+    0x58c2fe08, 0x66901668, 0x205c0442, 0xaa8e94a5, 0x2165a908, 0x72c011ff, 0x7d09c2bb, 0x31e79a6a,
+    0x61512da0, 0x2a2756c9, 0xad936e91, 0x61caa45b, 0xb429591d, 0xc0296709, 0xd996c7eb, 0xa7be7d00,
+    0x2dedab8b, 0xa7c47f64, 0xbba06fc3, 0xf15da863, 0x78a01bee, 0xc2b4f3a8, 0xdf404b18, 0x58dc5373,
+    0x74d29f52, 0x84dba1af, 0x37d4741d, 0xd18c31da, 0x9964e349, 0x66abdf57, 0xf0a92e05, 0x81758552,
+    0x5d9d4db9, 0xa2a51796, 0xac8e8b0a, 0xdef8d976, 0xd0ef78aa, 0x5f56b54c, 0x973310a6, 0x6818a9d3,
+    0xc12bea29, 0x70191604, 0x55564b91, 0x61a29bf2, 0xcbc8a783, 0x3d42c913, 0x3bbcfe6d, 0x6a8e08cb,
+    0xbe797014, 0x696d93b5, 0x9f79300c, 0x9af464fa, 0x1d21f6fa, 0xafca06f6, 0xc3b97d82, 0x3843c7c6,
+    0x0c49bfee, 0x5119dc79, 0x2b7a2903, 0x0bd6c57e, 0x7c3ff789, 0x4da49080, 0x300ed40c, 0x06f91775,
+    0x040be61a, 0x7b1c8f45, 0xb290dbbc, 0x79a1c003, 0xf2973724, 0xce14f8e4, 0x84c80b60, 0x82f72dd5,
+    0xe7c84441, 0xdce1134d, 0x257dffe0, 0x85adb28b, 0xdb04d549, 0xf9868499, 0xd9ce3fab, 0x2e689853,
+    0x11d27d71, 0xabb833c2, 0x77d99513, 0xef917eaf, 0xf1f2e375, 0x54485d2b, 0x60eeeac3, 0x96415b9e,
+    0x2d455f4d, 0x0fb9c1d8, 0xeb2c0e7d, 0xe5f1f967, 0x619b8ad3, 0xebf63c3e, 0x6ae89f01, 0xe9a86893,
+    0x3e24016a, 0xd28ce7a7, 0x4008e3e1, 0x9f898492, 0xdf0ea747, 0x915e7240, 0xc81e5ea2, 0xf89844d1,
+    0xa4678c2d, 0x57430c08, 0xcfd158e8, 0xd0744dbf, 0xb15c6e1f, 0x35345f1d, 0xcd904b58, 0x26e3d712,
+    0xdc2d783a, 0x3620f69f, 0x3789908c, 0x82eeab2e, 0xd89a51cb, 0xc6976789, 0x550b2bb2, 0xd9a05c50,
+    0x835422a2, 0x17edb816, 0xf34646a4, 0x56b3ea09, 0xb6d8616f, 0x2259dfa2, 0xf0d4ac0c, 0x3584abad,
+    0x84f6f5b8, 0x424f4b5d, 0xd9df9e37, 0xa1f9fee1, 0x03c59798, 0xb783d22a, 0xd567be11, 0x2247bdc1,
+    0x9f4dfe84, 0xceab38f8, 0xd9013c41, 0x8a77660d, 0xa58ed567, 0x4e4047f1, 0x759cd6e9, 0x80063dd1,
+    0x32548b67, 0xaadce20a, 0xa4ae4229, 0xff05d1a5, 0xa4ab865b, 0x4998ed18, 0x8aefbd82, 0xdeb5a979,
+    0x57cb1eac, 0x34e9f8b0, 0x50c0fb56, 0x649a18b2, 0x26e1a0ac, 0x2ccd6e1d, 0xd7e1750d, 0xda826cbc,
+    0xcfa564f9, 0x51686078, 0x59601589, 0x26dfb937, 0x197ca8e5, 0x603943c9, 0xb4fff859, 0x339f94e1,
+    0x61dbb78f, 0x4cc43815, 0xfbc9d2bd, 0x7a4dbdee, 0x18b084ec, 0xaa587eed, 0x5c8cc6f8, 0x893e3932,
+    0xedac4b00, 0x9d7873ef, 0xbc1a42d7, 0xe4ac733d, 0x6306f445, 0x442b5c2f, 0x6620771f, 0x3541d2f7,
+    0xda7c98e4, 0x2c08cbff, 0xfb75fb5f, 0xda159aff, 0x761815c2, 0x23613d7e, 0x0d60cecd, 0xde9b9802,
+    0xf5151e60, 0x6d0e7149, 0x0589b24b, 0x5923bd23, 0x6a54cd0d, 0x0d9322cc, 0x06a4efc0, 0xac67ac12,
+    0x63e24f5f, 0x6b75827e, 0x3d117da0, 0xc711d77b, 0x9d65a876, 0xd7a78a39, 0x25db0110, 0x05f4c89a,
+    0xbfe6ec19, 0x9acd3ba8, 0x1bb347b8, 0x51740436, 0xfadfbf3e, 0x28f03f17, 0xfae2048b, 0xc4107811,
+    0xc2dcc339, 0x0a2f52cc, 0x92cb1f22, 0xe428bc49, 0x51e4c8d4, 0xf76737b9, 0x988279b9, 0x34056be8,
+    0x60b8f9cf, 0x36d4bfda, 0x5d41b276, 0xa1bb74d6, 0xb047eedc, 0xa01f2f4f, 0xaf8cd1ad, 0xae86580f,
+    0x49572c44, 0xf4cfdb58, 0x551e5b7f, 0x6d43037a, 0xe54582ff, 0x35861025, 0xd6ee4b56, 0x69c04d2a,
+    0x8da4f8df, 0x8df95bbe, 0x36c9511f, 0x293cae5f, 0xa9dca27a, 0x71d6affc, 0xe110f967, 0xda8929f5,
+    0x9f9e43bd, 0x1c5b44af, 0x6563b11b, 0x17a905f6, 0x3fed0687, 0xf07bfe31, 0x8ef0daaa, 0x8d6d434d,
+    0x03cb0c37, 0xef730610, 0x9689e82a, 0x1c4d7274, 0xba4668de, 0x2025bcf2, 0x638d24d8, 0x1fe962e4,
+    0xc6fe158d, 0x6bbf9c71, 0x0d7d9abd, 0xb2fe4f04, 0x2d3dbb99, 0xbef85bcf, 0x99883bf8, 0x290be292,
+    0xd0800dc4, 0x70c7d35e, 0xc1734a6d, 0x85805022, 0xf7b2cc99, 0x958f35b5, 0x28d7f2b9, 0xf02a0a20,
+    0xa333fa75, 0x0703b7ed, 0x94163164, 0x372c3246, 0x896caecd, 0x841322d2, 0xe4486440, 0x71d336fe,
+    0x46ffc9de, 0x5b1c94b8, 0x5aef1038, 0x58af9a80, 0x57e5175f, 0xdf7e5395, 0xf65835d1, 0x0a585ba6,
+    0x28184d32, 0x01a9c6e3, 0xbcdf2c50, 0xe3987fa9, 0x7d12af44, 0x354297c1, 0x1018b77a, 0x800f917b,
+    0x223f0154, 0x4f0d26fe, 0x0a43d72d, 0x16b733e1, 0x7ee14906, 0x7f00850d, 0x83a19cd6, 0x1e469f1a,
+    0x3ed6b3dd, 0x30631fd2, 0xaaeacc23, 0x521a2b41, 0x9f51908b, 0xe88c2c7a, 0x296e6ce4, 0xfc9d32df,
+    0x1fa76e20, 0xd02140b5, 0xa4a8fcb5, 0x7d16b923, 0x2626e7aa, 0xff8ec1f3, 0x63e24505, 0x4bd6a9c9,
+    0x43d360eb, 0x054968ec, 0xba291355, 0xffc98782, 0x81ac5a97, 0x8c7edca5, 0x7e73350d, 0x2f49adeb,
+    0x87071a01, 0xd3b40625, 0xdeb2be66, 0xe9862875, 0xc6fbfa85, 0x493d2624, 0x41a07904, 0x487b7554,
+    0x1ee808ef, 0xad32ee0e, 0x679824ff, 0x03a9787d, 0x20c8b6a7, 0xbedc109a, 0x98286cdf, 0x6d44df3c,
+    0x9431321d, 0xc627d6d6, 0xa31e4cda, 0xac1b024b, 0x3c1a703a, 0x38329247, 0xae4db5a8, 0xfca3f212,
+    0xde0b9ddc, 0x00ab0129, 0xba8d9e0f, 0xaff05313, 0x05afb603, 0xf727cfa5, 0xd540e074, 0x313098ac,
+    0xc703fa27, 0x5a442db9, 0xd4850b71, 0xba4a7f6a, 0x8fb64edc, 0xee10af1b, 0x97e8a23f, 0x582ce5f7,
+    0x7c6f6377, 0xb6bc68f0, 0x3c556f7a, 0xaf43d02a, 0xeb23e1fa, 0xb7b487ef, 0x13f31842, 0xe44225cc,
+    0xd8438e81, 0xe194a624, 0xbeb10419, 0xaa55edc7, 0x32caeab3, 0xd5b3cb7a, 0x7e1135cd, 0x7f0b11bb,
+    0x7084b3e9, 0xf6bfaf8d, 0x808897cc, 0xaff14eb5, 0x9738be12, 0x0e3884e4, 0x0978d69b, 0x0df61620,
+    0xcbe4788c, 0x3e75d721, 0x7e7c708d, 0x0ccd8334, 0x1a002bd0, 0xb5845ddb, 0x49386d31, 0x7922ca59,
+    0x6a3a239b, 0x7c1af5e4, 0x9f63f723, 0x629a9d96, 0xf9881469, 0xea4b501b, 0xf72341ac, 0x4aac3f00,
+    0x0e2243d0, 0x097570f8, 0xdf1a353d, 0x7dd6aef7, 0xa59d6664, 0x49ec3b54, 0xc04127f2, 0xd04e6fcc,
+    0xdb13742e, 0x0018cbef, 0xeb88eec1, 0x408017f7, 0x5441f331, 0x1a414380, 0xe02455ec, 0xe6745d48,
+    0x9f91336a, 0x2c8ade09, 0xd067bbd1, 0x31589f9f, 0x2455bdd7, 0x95f351a3, 0x6bdfe2c6, 0x72d9aa27,
+    0xc70c9587, 0x2e68fb56, 0x7bacba76, 0xf6837882, 0x71bfca99, 0x4a72a0be, 0x43f6467e, 0x1e34a7bc,
+    0x0d067355, 0xd87dcda7, 0x4afea2bb, 0xb7fbe741, 0x29fbaee8, 0x2d125569, 0x2a77a7a7, 0x9d3fd33b,
+    0x4fab88ec, 0x179cbb1d, 0x227fd8a1, 0x85b89e99, 0xe0b6aa96, 0x954d7481, 0xfb776070, 0xcc8b658c,
+    0xa4c835e4, 0x5c8600ba, 0x2983a506, 0x4041662e, 0xf78c95dd, 0xda5db8c5, 0x92590b7b, 0x502ba80d,
+    0xc428caa9, 0xa24eb7d8, 0x0c423435, 0xe68a7874, 0x3bbeffcb, 0xfe68af5d, 0xbd8a1667, 0x72978dc2,
+    0x778e542e, 0x53ee3a10, 0x26223225, 0x8d1cda06, 0x5c33ccd9, 0x657bfe13, 0x58e4ebf1, 0x3d27dbfb,
+    0x94356b55, 0xfccc92b3, 0x2d72012d, 0xc96ee331, 0xc86ecb43, 0xc20664e6, 0xf03a5b27, 0x6757a854,
+    0xe77551b0, 0xcefa1a85, 0x8d9e906f, 0x4b3dc4e9, 0xfec4abdc, 0x66fb3315, 0xca3e336e, 0x1a17c034,
+    0xa53eaea3, 0xd1f07639, 0x6f08c7e3, 0x27349106, 0x44d3976e, 0x2f3f2f33, 0x53d8290e, 0x7b0d1e06,
+    0xb2fdfe60, 0x12b52eca, 0x660a08ba, 0x3d9deeab, 0x167983dc, 0xaa738ead, 0x6c430043, 0xf9f7e972,
+    0xbcd8ea15, 0xf5fb8777, 0x1607b4fd, 0x3152504a, 0xe0b2a7e6, 0xeca78ef2, 0xca985086, 0xe1375443,
+    0xdcf6de31, 0x2195910c, 0xd90d90f6, 0xb925105f, 0xc05d945d, 0x3b58c37d, 0x8fdaefe5, 0xbc230871,
+    0x048ccb3c, 0xf7062a90, 0x098b48d8, 0x8c833f34, 0x6e47196e, 0x4da5f4db, 0x42df6fe1, 0xde1ea864,
+    0x00000000,
+    0xad961ecf, 0xfffffffc, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000004294967296 */
+  { 0x00000000,
+    0xd4802d7a, 0x125fb9b8, 0xcf725710, 0xaa8de562, 0x43dd01b8, 0x55ec0a11, 0x2c2f8153, 0x1b429338,
+    0x31366e68, 0xd30b067f, 0xfb9783c0, 0x50bb2a00, 0x93b311ac, 0x3f6e9f58, 0x4f193f5a, 0x094e00fa,
+    0x7f7eaacb, 0xbb4785e8, 0xdc8a3c37, 0x1b7b0a4d, 0x22c1ae39, 0x4bf0e32f, 0x91ab5c9a, 0x3f5f28c5,
+    0x907f02b3, 0xd1b2a90a, 0x5fbaf056, 0xf12b344d, 0xa8310ba9, 0x38be215d, 0x7d80ee71, 0x399fc21d,
+    0x94285948, 0xcca4a83c, 0xb07d0865, 0x35b85f62, 0x4bd986de, 0x010c40f3, 0x17cdbed3, 0xe7cff545,
+    0x5f6ab0bd, 0xe03c36ad, 0xaf126b2e, 0xdc54288e, 0x04c80012, 0x156aa6ea, 0xeb2840a6, 0xe2f03167,
+    0x0d96b4de, 0x328e414a, 0x1f2ec3ce, 0x31887af9, 0xa4c601ad, 0x73a94e36, 0x2e3a818e, 0xd819d0d2,
+    0xc342d826, 0x9c73d1c8, 0x0472529f, 0x8a4c6cbd, 0xfa1eb518, 0xe1fae1ca, 0x5ab665a5, 0x860559ce,
+    0x373aa04a, 0xf8c77552, 0x8c5c160e, 0x0ea7b487, 0x5692a701, 0x639aa594, 0xc7ba298f, 0x1e0226ed,
+    0x4648ff01, 0x47fb9676, 0x1a6ae686, 0x2ee3bd57, 0x74c1b10a, 0x62f74831, 0x50b8ff3f, 0xd17b2935,
+    0x8890bef5, 0x459551d4, 0x08bc54e7, 0xc285804a, 0x67e94c29, 0x1b35545c, 0xd4bd5b12, 0xd1288ecd,
+    0x2f7f7abd, 0xe3c129fb, 0x26ff7869, 0xc3c45d41, 0x3edff9e3, 0x6856a0d7, 0x60d0552a, 0xac6a2e9f,
+    0x24ea5f28, 0x8eab9a87, 0xd2f49d19, 0x352c0631, 0x816541c4, 0x59b7cd00, 0x457594b7, 0x773844f6,
+    0xc69cf4fc, 0xf6ad9150, 0x49da7c18, 0x032db771, 0xd19ae3fe, 0xe8b1c7fb, 0x96705a9a, 0xa2fd2ba5,
+    0xad389416, 0xdfa1dad0, 0xed7731e2, 0xc795e46d, 0xce180aa3, 0x488a85f1, 0xcc41efcc, 0xf410edea,
+    0x233a1459, 0xa5faf333, 0x2f47a0e3, 0x3567f52f, 0xaf2de548, 0xf0026eac, 0x4b35facc, 0x2f29e897,
+    0x0b69a3fa, 0x5e7bfc90, 0xfc7fe7f6, 0xd1201db7, 0xd40d7e97, 0x1eb99533, 0x3d9e97f1, 0x3b9e4580,
+    0x6fdada61, 0xd6db3ce4, 0x39cdd4af, 0x15a337c6, 0xd8d4a23b, 0xbd63a5a7, 0x81e45abc, 0xade09768,
+    0x1ea84406, 0x24843f61, 0xbc164861, 0xebe90eec, 0xc483697a, 0x8b2fec8d, 0x52bdb05c, 0xd77f66c8,
+    0x0064d8a2, 0xe43a2888, 0xc1d01f7e, 0x92969691, 0xcbec5b72, 0xd49d6941, 0x8133705e, 0x8e8992bb,
+    0xa8d3ed69, 0x929e1ef9, 0xbba6b5fe, 0xdb5d2a08, 0x21ba7366, 0x1f16f47f, 0xce4ecccf, 0xf518a26d,
+    0x7d649d3d, 0xd3fd4889, 0x29b08288, 0x1ec9257e, 0xbebbd486, 0xf4f9fe01, 0x69daf9a2, 0xb695bcc1,
+    0x89f8e509, 0xddecb068, 0x90518f87, 0x859cfdf7, 0x5c7776ef, 0x2f1f9ad7, 0xe1ee651f, 0xb51ae671,
+    0xda50cec7, 0x60566414, 0x5fd703c5, 0x155b3762, 0x42c27422, 0xe692c8f7, 0x570c6d12, 0xf50cfe0a,
+    0x417c6e24, 0x4c4862cd, 0x0c6498fe, 0x81a60739, 0x50e5f959, 0x645caea7, 0x892780c0, 0x6dc33c94,
+    0xed5b77fb, 0x1c849e4a, 0xdd7e8f05, 0x8d88309f, 0x6d2a6240, 0xc9fbe3f3, 0x8d5f22e7, 0x6d891d3b,
+    0xcc9b821d, 0xdae40b43, 0x3e3ba62f, 0x1dd8c9a5, 0x7930a339, 0x320bee21, 0x62e1de1b, 0x3b606d42,
+    0x5f5d9576, 0x9687bdf6, 0x4f5adf3d, 0xef63cc6b, 0xa388eef7, 0xdbc2f3ac, 0xa8a25c2a, 0x572a75cf,
+    0xe4fb3083, 0xc87ff360, 0x552801cf, 0x609fca83, 0x6a1a981b, 0x2136e685, 0x48dc48bb, 0xc7b81b47,
+    0xbf687065, 0x9ffc4c0c, 0x7b6e32ad, 0x7c0060d0, 0x07e06a2c, 0x018a22d0, 0x641c531c, 0x770f31f2,
+    0xdfb8cf6f, 0x40bbb514, 0x0d6c213c, 0xe01d1cac, 0x027fb458, 0xfc97f266, 0xb8985a1a, 0x1255a4f5,
+    0x5a75c917, 0x5bd22f4f, 0x86960545, 0x33c08a51, 0x3972799e, 0x25f14185, 0xea9e102d, 0x4d924f4e,
+    0x5873bf34, 0xfa0cd94b, 0x09c7600a, 0xff55e108, 0x4fe969b3, 0xdd7e123d, 0x8a289339, 0xcaf08f43,
+    0x29c2312b, 0x61c651d5, 0x4873332c, 0xdaf2fd90, 0xeccda30f, 0xedb3207f, 0x2c7ca97b, 0x24f0afb9,
+    0xc41e3ff9, 0x0c82893b, 0x175f5522, 0x260cb98d, 0x44229680, 0xf2b0b953, 0x13d8ae96, 0x1f0093b6,
+    0xd87ced2e, 0x64d58214, 0xab772716, 0xf2152aff, 0x32d492be, 0x2249f093, 0x0f926b1f, 0x7e726cdd,
+    0xb20fadd4, 0xda8f62c8, 0x0c93a8ae, 0x7466f490, 0x0de74014, 0xee1810fc, 0x2a7d3775, 0xd1e41524,
+    0x17ffb54d, 0xf1bc258f, 0x41bccc88, 0xcc6b17c8, 0xd55ba619, 0xe545fac3, 0x2f6c7f3e, 0xd52a40d7,
+    0x47d23806, 0x1ba76f8d, 0x9d64a8fa, 0x651b5a15, 0xbc40a888, 0x660a408d, 0x0e7bf452, 0x46c7ebb6,
+    0xd3c4974c, 0x4e128c41, 0x3181e96b, 0x63e1d973, 0xad051748, 0xa5c599ff, 0x6801f5a6, 0xcd674648,
+    0x8604760c, 0x7dabcae1, 0xffd62f3d, 0x7f2b2999, 0x5b0cd2ad, 0x056b5765, 0xc7ec3195, 0xf5e638e1,
+    0x2a0d0593, 0x16222a26, 0x355d8799, 0x0a2bfeab, 0xe99d13a6, 0x5b7287ee, 0x1137cb4c, 0x175e7d04,
+    0xfc23b3db, 0x5d88c9b2, 0xef79aae7, 0x845fd626, 0x6bf041b1, 0x6cfc2e6c, 0x70b1b3c2, 0x21e2ff27,
+    0x40d3bd5e, 0x545bc9ce, 0x072a4a60, 0xa05937f4, 0x1503a6c4, 0x9bb3b3b7, 0xb9590bf3, 0x5b716629,
+    0xf0745872, 0x1f04f7b8, 0x1554f63d, 0xaf30ea03, 0xadc3c1e9, 0x207c1483, 0x52385309, 0x7bd270ca,
+    0x5a8b6280, 0x838d8132, 0x6c5e648e, 0x188f7dbb, 0x6596fcc0, 0x27f5033e, 0x40082471, 0x39257bcf,
+    0xed287ab6, 0xbbcc87f5, 0xc2a0ade3, 0x2b31eff0, 0x3c32e584, 0x9e8477f3, 0x81f11a76, 0x5d1f35b3,
+    0xc1113691, 0x53b50062, 0x9a54da8b, 0x5a4cf47a, 0xca5affc0, 0xbea8015e, 0x86326270, 0x1c948ecb,
+    0x5957a119, 0xac52195c, 0x18ab5499, 0x9f43b846, 0xabd63f75, 0x12da35f7, 0xfcbfac22, 0x02a81e16,
+    0x076eb9e7, 0xd28812e6, 0xa07eeeeb, 0x163982e4, 0xebeb8075, 0xdde6b4f2, 0x2dcda433, 0xfa7d496e,
+    0x95c9c2ce, 0x452e9eb7, 0xe079bea3, 0x186a911c, 0x3f58371d, 0x97a9106d, 0x21e7ee25, 0x62735121,
+    0x3678209d, 0x0dfb2128, 0x21d2f825, 0x580a8820, 0xf048ec56, 0xb59b9b38, 0x5645e1c1, 0x02a65739,
+    0x6adc676a, 0x575d26e7, 0x2227b2aa, 0x10b58fdb, 0x0a6b53e0, 0x9742945f, 0x30917b89, 0x7797be99,
+    0x188f1a4d, 0x51d7d684, 0xed93435e, 0xed3c0982, 0xecb01dbf, 0xb21bef14, 0xda54c069, 0xbba9ad57,
+    0x9d007fb6, 0x162253c9, 0x937f6366, 0x0240b15a, 0x962987dd, 0x2e0559df, 0x0ec8de65, 0x57d7f50d,
+    0xe5ea9525, 0xc7c75340, 0x91c5f488, 0x7bb16dba, 0x7318bd5a, 0xa5a00ce6, 0x092a58f2, 0xb554f73f,
+    0xa92ddd81, 0xf31c7224, 0xc1a96798, 0x705ad65e, 0xda8750b2, 0x0649ef00, 0x55d33a1c, 0xfa575669,
+    0xad018ee8, 0x4b5ac43f, 0xccf27876, 0xcaa96db6, 0xf769c149, 0x58a61126, 0x8f039cfa, 0x7c899d34,
+    0x83948ef3, 0x8aa86d76, 0x5ddb1093, 0x87ec4b53, 0x8788fcbc, 0x0690263c, 0xc25f8b8e, 0x51346529,
+    0xe84b5229, 0x9db13029, 0x611dd488, 0x0fa37f7f, 0x6a5423b6, 0x4e509810, 0x1f68a9ec, 0x79469964,
+    0xc7ff1fb2, 0x93ce6ea6, 0x74ec768e, 0x5e9df6ec, 0xfb8cb9e1, 0x6d4252f2, 0xee44470d, 0x918443af,
+    0x965c12c5, 0xe0907c23, 0xf4a71960, 0xf6bc9e1d, 0x79fcebf2, 0x1dc4e720, 0x4d091b9f, 0x430b409f,
+    0x4adee494, 0x6be6e691, 0xcbe90abb, 0x34f3f201, 0x4df50b54, 0x72805ee9, 0x6ba0a9a9, 0x7fad4b75,
+    0x56b27feb, 0x0b6653a9, 0xc9c09a58, 0x0049d5fa, 0x5fb1c686, 0xefbe25d9, 0xfe945ffb, 0x2cad530d,
+    0x91e6a721, 0x8ababade, 0x4c408b19, 0x8b2743b9, 0x3761e542, 0x2aa9aff3, 0x1a07a84a, 0x4312a07e,
+    0x090ed72a, 0xc51caca6, 0xd1d3e95c, 0xf1cfdde7, 0xdd1929bb, 0x6af41c28, 0x0f826113, 0x95657571,
+    0xce50c877, 0x52a426dc, 0xee5874b2, 0x6b8a61b1, 0xbeb87599, 0x84023c93, 0x2d32bf3a, 0x291c3ba2,
+    0xf43de1ac, 0xd2c6bf9b, 0xb73c1616, 0x0036f60a, 0x2ba8d5b7, 0x48e7ff2c, 0xd515905d, 0xa7218d01,
+    0x875159e8, 0xe7c62a73, 0xe4d0bbaf, 0x5b164479, 0xe415a7cd, 0x9456b197, 0x64903994, 0x28b1d286,
+    0xc39ea9d9, 0xfd8516c9, 0x4822d243, 0x03fe1d17, 0x9e18d33f, 0x1dd83e62, 0x8affd218, 0x6f0b6d34,
+    0xf0d55b84, 0x4e870e95, 0xebef1cf7, 0x40c41523, 0x7aad8774, 0x27f54eb4, 0x2939e334, 0xfa0dbebc,
+    0x23e856c3, 0x8d7862e6, 0x4d6d3135, 0x5cf3adf2, 0x7f34f22a, 0x418939fb, 0x06023eb2, 0x81b43aa3,
+    0x3b48e225, 0x36ffda7a, 0x9f518b16, 0x34d8c0ff, 0x4baca54c, 0x22fe5edf, 0x19a19aff, 0xaa98eea5,
+    0x2d5358b4, 0xa3136ff3, 0xac8089bf, 0xaab7abc9, 0xfc95026f, 0x3dbf2c14, 0xe73074cd, 0x118ca686,
+    0x6f08746e, 0x28b83697, 0x298b68e1, 0xef6c2b80, 0xeb8ad992, 0x73c25f4a, 0x20db94ff, 0x53fffcd6,
+    0xea1c7613, 0xe46ed3b1, 0x464b7855, 0x59fbc1fa, 0xde4689d8, 0x1735e9e0, 0xf7449c08, 0x28939eec,
+    0x17c62e77, 0x98deca34, 0xb932acaa, 0x25d8e638, 0xb241fc93, 0x3253eb2a, 0x14421f33, 0x795abfbf,
+    0xe75062b6, 0x22cc21c5, 0x629c599a, 0xabf887a4, 0x47786135, 0xb691ef63, 0xfea44887, 0xf10887b9,
+    0x3e6d4ea9, 0x59dde067, 0x331e2b4b, 0xb38b4d53, 0xd0e7661c, 0xc44806f9, 0x7209d777, 0xb8b7490f,
+    0xee49adaf, 0x259f8a23, 0x9b23753d, 0x2da36cb5, 0x335ee712, 0x09657c5f, 0xa6bfb4e4, 0xc827c94e,
+    0xf61cce9e, 0xe1fc8384, 0xb251fd4e, 0x716e9df9, 0x716e55a4, 0x1442f910, 0x12cd4135, 0x830d1401,
+    0x171c775e, 0x48fab90c, 0x9aa0b514, 0xd398a78b, 0x874ad5a1, 0x84ef4d85, 0x5e04edd9, 0x9220d502,
+    0xcae9fbce, 0xff84de4a, 0x78e6842b, 0xb58e502f, 0x998e26c6, 0xd583e164, 0xa6b21532, 0xf9abc3a6,
+    0xbec9e950, 0x2043ee08, 0x5022ee3b, 0xb76d1bec, 0xa9ffe80a, 0x00b57541, 0x0925c7cc, 0x1be1f919,
+    0xf8f99b0c, 0xc01c4767, 0x542ec1c8, 0xd1024ba3, 0x6241a479, 0xc50a4892, 0x26689eaa, 0x140f337d,
+    0xe1e8f16c, 0x80d85761, 0xaf24ac78, 0x1c0ee1a0, 0xa54eb33d, 0xbd0ebe81, 0xb97c9bfe, 0x24136983,
+    0x11fc3191, 0xfe3b04e9, 0x293b3baf, 0xa008f1ff, 0xfd1e66dd, 0x09f612cd, 0x0a0ec267, 0xade6fbd9,
+    0x1a7e4491, 0x651f4ecc, 0x6056d3b0, 0x3f66ad43, 0xdcbd10e9, 0x6709f807, 0xe2882bc0, 0x5c96f35d,
+    0x75e4ebd5, 0x626d2901, 0x272ed38e, 0xaab982d3, 0x9afec2e3, 0x7275d65a, 0xfbc10afb, 0x0c3ad051,
+    0x0af03c35, 0x4a22eb0f, 0x919cbb7f, 0xc52021ba, 0x8a72a258, 0x9ec1e253, 0x821865e4, 0x5cc6e28b,
+    0x8a0dce8c, 0x5dfb2c44, 0x4457d8e6, 0x40b52306, 0x2029b68f, 0x7f1ff59f, 0x3cd7db0e, 0xeb26f6c3,
+    0xf9923b5e, 0xc5a09528, 0x84b00bf1, 0xf313d881, 0x2e8351be, 0x67cd93bd, 0xd79c143d, 0xc40443f3,
+    0xb308adca, 0x3e70ee6f, 0x3a8b6e7c, 0x9de01de2, 0x72f47398, 0x42b2f761, 0x7626d2b7, 0x4a9817d8,
+    0x5cd1004a, 0x6da7b4f6, 0xe1946747, 0x01e21c6c, 0xc6828893, 0x82c1c396, 0xcfb03a89, 0xdb774c9e,
+    0x76eed0bf, 0x501248a9, 0xf57119f9, 0xb0832e98, 0xe34d051d, 0xaae27e53, 0xa822e905, 0xcc172d23,
+    0xed365f9d, 0x4c4cda3b, 0x389333b2, 0xdd50e64f, 0x941c8fb9, 0x7e21bc41, 0xd349206c, 0x6ad8d8d0,
+    0xcf710563, 0x5f709104, 0x05599ef2, 0x44de99d4, 0x6fee84c8, 0x949c13b9, 0x17016022, 0xb23e844b,
+    0x1578981c, 0xb285b5ba, 0xafc99152, 0x2b85146a, 0xe817b8d9, 0x86b355f7, 0x84c6975f, 0x1df0661b,
+    0xaa400a4e, 0x468ae088, 0x05c39266, 0x49a428e4, 0xa272bb1e, 0xa1964f31, 0x35a0462c, 0x4aaa5769,
+    0xd8b00316, 0x4645456b, 0xa890d6d8, 0x0a3d891f, 0x9243ca24, 0x613077c7, 0xf392b062, 0x90a19f12,
+    0xc8909cb5, 0xaf110bcf, 0xda302e12, 0xa3c563df, 0x70f1fefa, 0x6d90ab46, 0xedae9383, 0x68e8286c,
+    0xa87e2b60, 0x65246004, 0x2c68a871, 0x004f8683, 0x253de9d3, 0x67969315, 0x273c4f4e, 0xdf6e613d,
+    0xbd0c0d41, 0x5313c8f8, 0x3795ca73, 0x8b301891, 0x9d65cdb2, 0x1aa58b8d, 0x37e5c1d7, 0xec15fb3d,
+    0x93df7ce5, 0x7db32479, 0x68e30e46, 0x09175bff, 0x184e1c5b, 0xc9876f6b, 0x47486e5a, 0x80b97e04,
+    0x852d1640, 0xce0a4912, 0xa2a9ad41, 0x3001384c, 0x0feeb84b, 0x7e40b98d, 0x60d38a7a, 0xea817fb9,
+    0x7e45abe4, 0xbc2beba3, 0x5eeb2e3e, 0x7bb13802, 0x590d71a8, 0x04136f33, 0x0c863029, 0x6c88c285,
+    0xf9f520dc, 0xdab15e59, 0xbe072383, 0xef647f27, 0x00f598fb, 0x1a707f0e, 0xd2230597, 0x08d26d37,
+    0x7a535888, 0xb3e1b1fd, 0x804723b2, 0x3fe6738f, 0x9d0699ba, 0x4e38eea6, 0x9f3187d5, 0xda11cdfa,
+    0xb3e478dc, 0xb15013fa, 0x78fc0f78, 0x366ca1cf, 0x834acf8f, 0xa4502b8a, 0x8f6704bd, 0x02c386e5,
+    0x61e61a66, 0x97cc9f4f, 0xfa6b9674, 0xda618735, 0xb4f25c58, 0x4878729b, 0xa9de32ad, 0xe5307656,
+    0x067f27cf, 0x3db7f811, 0xac54a3fe, 0x70418316, 0x393efc91, 0xba1d5eaf, 0xb2b693cf, 0xdb6ba7b5,
+    0x87e87ff0, 0xd0cc2625, 0x68575d25, 0x950d90f4, 0xfc3db7a0, 0x08fd1f63, 0x7dfa359a, 0x98a772fc,
+    0x8896b377, 0xbc65fb86, 0x82977439, 0x6424bb8b, 0x9eb0f083, 0x32e144dc, 0x37f5b260, 0x4dda1fd2,
+    0xefb6c170, 0xe3b3ea1f, 0x226ce8bd, 0xaa20170d, 0x824cf03a, 0x082f4559, 0x1922aed6, 0xc283ef68,
+    0x944858a3, 0xd0ba7984, 0xf0b3099b, 0x61333df2, 0x7905b100, 0x7756383f, 0xf9ba59a3, 0x9daf0346,
+    0x21224098, 0xdab66b1f, 0xaf8da957, 0xd8144131, 0xe8c2d72d, 0x7510d1ee, 0xec54cbad, 0x7c48a331,
+    0x75233208, 0xd1a2d013, 0x564d0d7a, 0x0f10ac24, 0x29c976a2, 0x0819b8de, 0xcd08c28b, 0x55c804d9,
+    0xa978e4be, 0x596ec48b, 0x28f2f575, 0x23b0f9fb, 0xff7c3460, 0xa16d803b, 0x20ec5266, 0x022fb5c0,
+    0x7a24947a, 0x20deb1e0, 0x1d4566ab, 0xe6c0fb27, 0xa1c39436, 0xd629f457, 0x90778c3a, 0xef3f09a0,
+    0x63b1a668, 0xdd4b3180, 0x9576ebfd, 0x04028ea0, 0x8e9c0227, 0xfae7dd7f, 0x3bff803b, 0x10ded21c,
+    0x829ef0df, 0xf7a7bd27, 0x7a2f2b57, 0x74a2effd, 0x255b5a88, 0xb10bc7be, 0xa1a93e29, 0x55eced02,
+    0xd02d9a2a, 0x7397a5da, 0x3f4cb7c8, 0x397be76f, 0xa373eb4f, 0x6a2761cd, 0x1336aa22, 0x321833c2,
+    0xfd572d67, 0xda9152d3, 0x1816e2f6, 0x22022bb0, 0xc11ee339, 0xc0688127, 0x7781ccda, 0x569c5ca2,
+    0xea462103, 0x2e0eb110, 0xe621c1fa, 0x2e265508, 0x433f322e, 0xab525d2a, 0xe89d6a85, 0x0c6a7c72,
+    0xfd67b80e, 0x51d205f4, 0xf5525f5c, 0x6c3841d7, 0x2bc8485e, 0x3524df67, 0x5b08e4d5, 0xb1f33faf,
+    0x8fc650a9, 0xb7a2c4e5, 0x682ba22b, 0x1075fb3a, 0x0ecc43da, 0x32aa1f1f, 0x665a58f2, 0xa89dad03,
+    0x00000000,
+    0x56cb0f67, 0xfffffffe, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000002147483648 */
+  { 0x00000000,
+    0xddaa43f9, 0xbbfae256, 0xad777bc3, 0xadc8a5d9, 0x0789761d, 0x5d4b3431, 0xd5454c93, 0xef56cc01,
+    0xc5d59cce, 0xaa478347, 0x24132d24, 0xd9144832, 0x411cecd3, 0x15626620, 0x16bd321c, 0xe7f5a191,
+    0xb97a8841, 0xd1df6653, 0xc4f96eed, 0x98df1504, 0x4bb36ab9, 0x31e490d4, 0xcb4d703f, 0x225a2372,
+    0x72739e86, 0x98333b34, 0xe863ba52, 0x8677a44d, 0x1c3e8de9, 0x528f8253, 0x6a3fc3e9, 0x98547718,
+    0xebac4769, 0xbe28a1d6, 0xc2a03644, 0x3701d818, 0xe16d6829, 0x934be3da, 0x7d6af9ae, 0xd900c304,
+    0x188d538e, 0x68c7311e, 0xdcb3b831, 0x8a86940f, 0xdfe0170f, 0xbb3de571, 0x34b01bda, 0xda83dac4,
+    0x846705e8, 0x2141475a, 0x993bbd73, 0x1ecee958, 0x55d59b31, 0x42f3e392, 0xba0cafbe, 0x733ea87f,
+    0xdb373867, 0xb4cc9d15, 0xa87f2b86, 0x9da1d01f, 0x537c0f43, 0x5c57191c, 0x7610b898, 0x415054d0,
+    0xc263283f, 0x400ef2f7, 0xdc311443, 0xf3f9f7a0, 0x09e34ca9, 0x9c5db5ad, 0x0cbdad6b, 0x847ee9a2,
+    0x6056e372, 0xe0f8c663, 0x5db46f28, 0xe00c480b, 0x5efa8c01, 0x2a169f21, 0x37059287, 0xe211e9d9,
+    0x206ab56b, 0xf8c2d82a, 0xb3c8b790, 0x5aa697c0, 0x700e4d21, 0xac2b5f2b, 0xf53c4529, 0x385593a7,
+    0x4cbea963, 0x7e8b8299, 0x3ec20c69, 0x048172af, 0x32024b81, 0x94fa4f80, 0x2e8acaab, 0x102cb181,
+    0x357b4231, 0x91dd1ce4, 0x60ba46b5, 0x8db45c37, 0x24c81f64, 0x45ad3d42, 0x76a75c35, 0x7ddd3cae,
+    0xf4f42253, 0x7b77e153, 0xe4b2d580, 0x826003c5, 0xde4c3001, 0x81467dc2, 0x813cf968, 0xa98a7bf8,
+    0xcbaccedc, 0xf3ae08f7, 0x3332dcc7, 0xbf45143f, 0x4ddde6c9, 0x227922b9, 0x82caf8fa, 0xb57d650d,
+    0x77a88c27, 0x40bc4c8f, 0xe83828cb, 0xd7ad385e, 0x2fd18d0a, 0xa8258ef9, 0xbfde658d, 0x1920b359,
+    0x2fd02aa7, 0x4bdc4db0, 0x46bcf7b5, 0x54b739e2, 0xde375bb8, 0x59a922e6, 0xd4e7ad40, 0xbdc80f12,
+    0x5c0ffb01, 0xcad1e64a, 0x91eb4bed, 0x7741bd6b, 0xaf541529, 0xeb3dc056, 0x14bbc6fa, 0x082321d1,
+    0xe125de54, 0xe989dcd5, 0xfb1b5239, 0x32cd24a8, 0x75189550, 0x7e21c7e2, 0x5234677c, 0x154e6e55,
+    0x1d171dc2, 0x2e48f0a5, 0xc4364c98, 0x7801605f, 0x4e1a210a, 0x975ec715, 0x1f81a2af, 0xce7c56d2,
+    0x4f645cd2, 0x5ede5c87, 0x9cfa2d08, 0x041a02f3, 0x7424a07c, 0xd71354ff, 0x64f7bcc2, 0xdbc3b068,
+    0x7e3bfab3, 0x90266762, 0xd377afe3, 0xd97d020a, 0x084d9e0b, 0xc249462a, 0xafc45fd0, 0x71ff3afd,
+    0xa0d74831, 0x3127d314, 0xdd7351be, 0x43a714bb, 0x61300805, 0x81760ac9, 0x4850165d, 0x5b94a8bd,
+    0xb83aff4d, 0xe753b9b0, 0xe4383770, 0x13410e1c, 0xa3555e5e, 0x82b5b119, 0xb0ad64c0, 0xf99c9456,
+    0xa238af7f, 0xbe2b91df, 0xde01a783, 0x81977735, 0xb20ef6fb, 0x90b77c66, 0xb8b25ff9, 0x8498cbfd,
+    0x5a09917d, 0x2e1af3d3, 0x32f371ab, 0xb4c8919e, 0x3945c819, 0xcad47ed6, 0x78ffebfb, 0x3383d8f3,
+    0x157f9a05, 0x16fb1d3a, 0x482e1712, 0x46d25eab, 0xd02f1906, 0xf986a3ac, 0xb17238a2, 0xb72b4d8b,
+    0xc9e35362, 0xd3d6bbf6, 0x0184edcf, 0xa5b0fca5, 0x58427ed8, 0x0461c68e, 0x6d226c31, 0x84d18b03,
+    0xaf52f4b7, 0x53b4bd79, 0x34c1f5ea, 0xdf8ac367, 0x1799e440, 0x4b4de382, 0x54329256, 0xfc2b26e9,
+    0x4722f392, 0x53f6b41f, 0x3e95501f, 0xde93a025, 0xb36be18b, 0xd8c91ce7, 0xcbdc4326, 0x3e2e04e6,
+    0x3f69838f, 0x762cebae, 0x1ed0da4e, 0xb717da66, 0x935b9072, 0x1ba82ef8, 0xe1fa8ac5, 0x5ce66df5,
+    0x08b02cf5, 0xf066a439, 0xb707ea6c, 0x65ee86e2, 0xc13b695c, 0xc45a2fb1, 0x5e3876ae, 0x125f7525,
+    0x64e8058f, 0x0cf5e09e, 0x98b9570b, 0x251d8ec2, 0x9d89818c, 0xc10caf2f, 0x1ef26a33, 0x85c7c3d7,
+    0x0b2e988f, 0xa4f2288f, 0x95d39b62, 0x442a0523, 0xc1da8f1f, 0x16d20fb2, 0xc5b848fc, 0xca8420f1,
+    0x1edb347f, 0xbe7a7283, 0x64eb8e78, 0x955584a6, 0x1534184f, 0xa7c53547, 0x98ef4684, 0x43d1be1c,
+    0xa831ab62, 0xe5d58a87, 0x83e3f50b, 0x01f63916, 0x3dfa8218, 0x072f8094, 0x58d0b705, 0x65651bef,
+    0x1b7ff244, 0x802ded50, 0xe6c58e30, 0x32cd69dc, 0xd39d8fe7, 0x07cb8e02, 0xd515d595, 0xc9567214,
+    0xa0407828, 0x39f13f38, 0x307e08c0, 0xd7681308, 0x22398767, 0x705b6884, 0x73d1c2f5, 0x0d7301e9,
+    0xb1f1cc0d, 0x9a9d21cb, 0x2bb926fb, 0xafc92d12, 0x4dc3ddd3, 0xe0065fbc, 0xb35f6bb5, 0xa4e34bde,
+    0xa5cd9743, 0xc8754e27, 0x9dc4e6dd, 0x91551bea, 0x4242aea7, 0x1e026025, 0x68ec376b, 0xbb1d822b,
+    0x48677440, 0xda7e9787, 0x4436aebb, 0x228e00d2, 0xe6832235, 0x24d05e58, 0xdfd25af3, 0x2b7858eb,
+    0x1046a9c6, 0x993ca348, 0xd84890cd, 0x40befa00, 0x490b7899, 0xbe7fccd2, 0x2dae5917, 0x8c6b86c7,
+    0xaca4a16e, 0x3edf11a3, 0xb96d55ce, 0xe685803f, 0x77759279, 0xb88278ff, 0x991cbb90, 0x97d095e6,
+    0xd5ab7177, 0x5758ce4d, 0x2ce455b8, 0x168eee59, 0xb397964c, 0x59b4742e, 0xc01522d6, 0xad87e26a,
+    0x47e7c407, 0x8b40d28b, 0xbce4fcb7, 0x19ca4123, 0x15337db9, 0xa7d47768, 0x79d632b3, 0xb3624f37,
+    0xb37b661a, 0x530d5c6e, 0x8adff249, 0x7facfc30, 0x21eb9e64, 0x13fc6c64, 0x5b8ed308, 0xae5dcd09,
+    0x017ee46a, 0x8c0fa4d9, 0x7380bfa4, 0x53b34e19, 0x0171c171, 0xca2c966c, 0x25fc00f2, 0xb4e34cf6,
+    0xd8f96d3a, 0x0565b1b8, 0x78b7828a, 0x48c164d6, 0x2e5b68f1, 0xa320d37e, 0x13d8588f, 0x68842e5e,
+    0x428c9f82, 0x104456c9, 0xb7c5fae0, 0x2ecc64b8, 0x5f6b6dc1, 0xa11f2c68, 0x758a9a76, 0x3f9d4f0c,
+    0x50fdec15, 0x4dcc3770, 0x3719fcc5, 0x720c3987, 0x1576713d, 0x73dceabf, 0x728cdaa2, 0x1fcdf210,
+    0xbc0abe7b, 0x9aa23790, 0x1b0ac727, 0x9d901d56, 0x92c19c0f, 0x3c86fefb, 0xf04b4cfe, 0x1b6e4a25,
+    0x48acc06e, 0x9bb50e30, 0x9c6df1b6, 0x19de6427, 0x234d10a5, 0x8eab846d, 0xa3febe64, 0xf1aae28c,
+    0x65ea8b45, 0x4315a9be, 0x9885af09, 0xa4fd5cb9, 0x3a7c6de2, 0xc558b5a2, 0x8a8f863d, 0x3582d9f4,
+    0x14fb7a5e, 0xfe0d23ea, 0x6578beb1, 0x9fd26479, 0x7e2906b5, 0x84af2ea0, 0x8cef7514, 0x105a2443,
+    0x5586fb60, 0xd9a7ec7d, 0xef3f1358, 0xb9a75e90, 0x7a4411f8, 0x22b59c0d, 0x6b0bc054, 0xc70a590e,
+    0xed275b23, 0xac86ba1c, 0xf199aec1, 0x04c590f6, 0x8e274dc5, 0xf199a3c8, 0xc58642e3, 0x92bf3655,
+    0x8c96e5db, 0xf2e70dea, 0xbfebcee2, 0xa17e45d8, 0x02150efe, 0x6a8aadc9, 0xed095fe0, 0x8c75be83,
+    0x3a3e46b1, 0xae949593, 0x0b09bd44, 0xc8f94a88, 0xf9473ec5, 0xb5f390d7, 0x7de6fc80, 0x1ffe6a6a,
+    0x7f3858c2, 0x086cc94d, 0x15f6a4f2, 0xc3505ce9, 0xfb296266, 0x50fef489, 0x5a7a4207, 0x7926dca2,
+    0x9837086e, 0x79e9cda8, 0x2224a562, 0x83aef010, 0x3c9a432e, 0x7bf61065, 0x9241e0d5, 0xfc0d3beb,
+    0x9c6afbbc, 0x89256a58, 0xeb986819, 0x512baf3e, 0xf7b588d7, 0x28930ff4, 0x099bcd4d, 0x80234d40,
+    0xabca1dd4, 0x291c7973, 0xb5cd0f84, 0x196054c0, 0x287d80bf, 0x4f0bb144, 0x18c05d3c, 0xd2ffaaf2,
+    0xe9d36a07, 0x876d830a, 0xbf948433, 0x417f8962, 0x679b0570, 0x18158f2d, 0x160ba269, 0xe298b160,
+    0x1d96f635, 0x2213384b, 0xd86e140a, 0xd089ef0a, 0x19a97f45, 0x11d3eec4, 0xdad46cb5, 0x2af37d25,
+    0x13459d31, 0xbf4f7d6e, 0x1bf2c0ae, 0xd1a30391, 0x6f40c775, 0xca3e0989, 0x364f64b3, 0xc35d6027,
+    0x9419e3cb, 0x4c2f1603, 0x3f9bc608, 0x456f8478, 0x2e40d8f6, 0x6fb57250, 0x4f33bdf2, 0x8a466a1a,
+    0x39dde178, 0x0edadaba, 0xe0483043, 0xe5f9d347, 0xa417d148, 0x76bb614b, 0x8595f67e, 0xdbdd9aba,
+    0xa0e44d06, 0x8aae5b86, 0x4a6b8c11, 0x9afe5e2b, 0xce7b506a, 0x50c5f306, 0x2ae284b8, 0xb7e50372,
+    0x4c67b559, 0xa708906a, 0xa31a5d44, 0xce4d3f51, 0x3025eee9, 0xab5318c1, 0xe5bc032e, 0x77f8530f,
+    0xd063c4e7, 0xd6696ec9, 0xa9a343d4, 0xfb7eab37, 0x36119e43, 0x4a6db526, 0x1cd72fb0, 0xfbe34fe4,
+    0xd91c9635, 0x3dabbf53, 0x8a78880a, 0xe88b5de7, 0xd4d0ee38, 0x3fff1e0e, 0xd388ff2e, 0xdfea0c58,
+    0xee407b37, 0x392b772d, 0x8df5ea4c, 0x29dec5b3, 0xde71b3bd, 0x96cddebd, 0x155e879e, 0x8dbb5d12,
+    0x457af0ea, 0x5617f84a, 0xa3946473, 0x4fbee21a, 0xa22dd282, 0x354d784a, 0x140f9030, 0xb654b284,
+    0x4c19dc94, 0x4a1acf8e, 0x787af4b9, 0xe05ac670, 0x0bf7226e, 0xf47d41d8, 0x8fce69f4, 0xde796155,
+    0xa3bcae1b, 0xcb000e32, 0xfcee397f, 0x74ac8f07, 0x69a8ab84, 0x77cfff9b, 0x57391c99, 0xac4f1331,
+    0x2727ef42, 0x2d43162e, 0xaf63dd2f, 0xee6d8d31, 0x5473a973, 0xf9931715, 0x8ee2a5c0, 0x6495ab42,
+    0x991f5bc9, 0x05758965, 0x60f34835, 0x0ed0055b, 0x55007188, 0x856b7daf, 0x90aa3639, 0x3ffd4612,
+    0xe0082ee7, 0x2f9e189a, 0xa50e5a0d, 0xc2c08eda, 0x7e0a77f4, 0xe4a6d201, 0x3b36b09d, 0x561e47c9,
+    0xbdaa9c11, 0x7c5edcda, 0x82e4a55a, 0x1082e28f, 0x8d40a0b9, 0xc50ae255, 0x17397701, 0x93974a08,
+    0x9498b5cf, 0xe3f4b9d0, 0x962e4b16, 0x4e385b13, 0x7c3a9b58, 0x99375de8, 0x430e5a3b, 0xd4be6638,
+    0x4fd6038e, 0x08e3f2d1, 0x9dadd2ae, 0x16d3d7df, 0xbd9a77ff, 0x1fdc99fb, 0x77b423a1, 0x3d2de0af,
+    0x5814c56f, 0xf42a8ceb, 0xf056f32c, 0xca86ba45, 0xdcfc70d4, 0x66e1c948, 0xcf0f1fbd, 0x012cbfe0,
+    0xab03f09e, 0x2bfdf94e, 0xd38e5782, 0x388c22a2, 0x2b458ef7, 0x9f6cefd5, 0xe850620b, 0x11b99918,
+    0xe9205f95, 0x8740d595, 0x393def15, 0xd62eef5c, 0xd60072d4, 0x4be5b451, 0xfd2e872b, 0x3b4e0f8f,
+    0xe295acc1, 0x3a7d9435, 0x2d605bc6, 0xc46975da, 0xd503de9a, 0x5f8e9f27, 0x89a1fe64, 0x586aea7b,
+    0x42e328e1, 0xe44a4ecf, 0xb7b63748, 0x8621e887, 0x23bacfd8, 0x72a31fb4, 0x2c09bef8, 0x32b5c161,
+    0xeff5011a, 0xb41417c7, 0xb8cdadf4, 0x00f0da0b, 0x36294023, 0x850c0c26, 0x6c3d9e9c, 0xfb469dff,
+    0xd3c5579c, 0xeb772891, 0x08cd5339, 0x01ef78f8, 0x5711dd85, 0x8ab3a5ed, 0x262b7a75, 0x4139220d,
+    0x29b27ca7, 0xe9b3a6af, 0xb45a5659, 0xb44b83ae, 0x69e7747a, 0xa584b298, 0x61aad553, 0x18d42622,
+    0x963ee3c6, 0x9e13c9c8, 0xbb03d3b1, 0x789299df, 0x5816f408, 0xe9d2268e, 0x7f586fd9, 0x6cb94593,
+    0x8bc282d2, 0x0dca75b0, 0x8b22973a, 0xb2cb6c29, 0x5aa09afa, 0xadc39904, 0x16cf74fb, 0xcaa7f398,
+    0xc623f791, 0xbbb73435, 0xbd5bfdf0, 0xf84b766d, 0xd6b9b977, 0xd83b8350, 0xa07a8b66, 0x60147d2d,
+    0xc5dcfa59, 0xdf7fa8ce, 0xa04cdcf5, 0x11aeb3e2, 0x96426059, 0x005b0fc6, 0x79089c8d, 0x0a17b3f5,
+    0x48e1d5e8, 0x0db3b0ed, 0x078564fa, 0xbc9a9139, 0x02e29cee, 0xb9202085, 0x61467e2a, 0x54b0b90b,
+    0x9f8100aa, 0xed411932, 0xa56eafde, 0x4a22d976, 0x18d0e572, 0xbc0214ea, 0xbd5d16f1, 0x2894e28b,
+    0x5746a586, 0xc84e5c48, 0xaa47e897, 0x663d8674, 0xbd21dc3a, 0xc6f85dfb, 0x8683dc1f, 0xa242c2f7,
+    0x42f25c43, 0xc8ef1734, 0x664f35a5, 0x4a85b7d2, 0x9b7ad7d8, 0xe29e7485, 0x0a7a6d23, 0x7051b8f1,
+    0x84ecb56c, 0x29c26fbe, 0x73769eb9, 0xcaa129f9, 0xf98c7eff, 0xdc412019, 0xd81a45ba, 0x614c9df5,
+    0x218eb5a3, 0x071e233b, 0xcf59d800, 0x4a588534, 0xb5dd18b3, 0x56efc246, 0x31e6bd5b, 0xafa7e67d,
+    0xa0b81dae, 0x04b70287, 0x6a3ba15a, 0x9cad6226, 0x7de3d8b5, 0x15eb3507, 0xb762290f, 0xba8eee80,
+    0x84cb70df, 0x2aca1dbc, 0x43f1dfa3, 0x22fcaa95, 0x0354ba03, 0xf55ab474, 0x7b70cb9b, 0xbe7e851d,
+    0x5e7b43bf, 0x4890b8a2, 0xa9f238ef, 0x815d2f6d, 0x3dbc1632, 0x092578c8, 0x5e57438e, 0xad2e5391,
+    0xf1f1c1ad, 0x66a1d4a5, 0x1e17e7b0, 0x53aa5e31, 0x781c0e4d, 0xbdf296e8, 0x3ed3e31c, 0xc55fc69e,
+    0x7341d5ac, 0x5f9c016a, 0x66a7d391, 0x4f3cb630, 0x7b3a3186, 0x11aacb5d, 0xfb158d60, 0x2e1e9a4d,
+    0xd10104eb, 0xa3197245, 0x3cca49cc, 0xed438353, 0xe6da66d5, 0xfb21420f, 0x5de1f6b1, 0x3983999b,
+    0x7ec8de3c, 0x06024590, 0xd5a5c8a3, 0xe18f6cb8, 0x895a357a, 0x2c9811d7, 0x3d850b1c, 0x6268d254,
+    0x378f2043, 0xfbeb9a53, 0x9faa02ac, 0x88c81f1c, 0xd0145a27, 0x3659bf13, 0x2d074356, 0x849c0932,
+    0xb24837ed, 0x26b1a6ec, 0xfdf1894c, 0x9dec891b, 0xc3b7a5cd, 0x8c9b8f33, 0x7ef586a3, 0x176d6ef3,
+    0x5de62f4b, 0xff399d75, 0x9f19604c, 0xae3e4fa2, 0x82097e2d, 0x350efec8, 0x929df9a3, 0x456f0571,
+    0x2d16e96e, 0xf7fc27f1, 0x7b5886a1, 0xe7b253ef, 0xdc08057b, 0xf2f87faa, 0xb9416887, 0xcd2d36e5,
+    0x5d76608b, 0x5811e317, 0xfe775e47, 0x72cc5c16, 0x2ff63805, 0x18de732a, 0x9761daaa, 0x70737404,
+    0x19bed21f, 0x162073ef, 0x5593e8b8, 0xf5795909, 0xa6cfba3c, 0x936989fc, 0xadb58abb, 0x19187461,
+    0xa9b866be, 0x437b238e, 0x164dffad, 0x317d3561, 0xa88e7d10, 0x9ceada4a, 0xe9f88f52, 0x25a6e7cd,
+    0x14df7de3, 0x01488388, 0xd9f68112, 0x85888a15, 0xd638f298, 0x378168e4, 0xa8150457, 0x9e30a9b5,
+    0x36540d8b, 0x0dc07011, 0x6be917d6, 0x4c29d3bf, 0x3f78de1e, 0xf23940bf, 0x0e535b14, 0x918d27ba,
+    0x7a717a7e, 0x4eb77226, 0xd793250b, 0x8b6886fc, 0x1d9e9f3b, 0x2c2b9aae, 0x8ad4d332, 0x086316e6,
+    0x397f189d, 0xc4c0aa09, 0x7368242b, 0x7b9b8104, 0xf5888d21, 0xfb815711, 0x54d9320b, 0x22bc81b1,
+    0xef309152, 0xf17e6d54, 0xe9ff995e, 0xc03ce288, 0xa016468c, 0x7f826a71, 0x130fe863, 0x85c9ba53,
+    0xd8505031, 0x3020e083, 0x684a4660, 0x297a7456, 0x71724fc8, 0x97994d79, 0xa004962a, 0x9e465c70,
+    0x1852fb48, 0x9ba77d55, 0x71f09abf, 0xb9be303d, 0xe79830cc, 0xd2b03b66, 0xfdc993fc, 0x37307274,
+    0x4141aa16, 0xaa9c0d05, 0x21689dab, 0xdd200ba5, 0x2ac465f6, 0xfc810d26, 0xc0235eb0, 0xac0492dd,
+    0x8be0365c, 0x5dfa3ede, 0xaac9ee22, 0x778982f3, 0xf751a3b4, 0x77962232, 0xcb81c5a6, 0x4081b628,
+    0x1a32b8d7, 0xb0d0e286, 0x422170dc, 0x75f7c807, 0x9f832b22, 0xd5187baf, 0xeae5cb7b, 0x11f47e61,
+    0xafdfb052, 0xaf802c1b, 0x87eddfa5, 0x02bddc15, 0xb4cc96fb, 0xf6036fd0, 0x23c6c565, 0x4bdeb196,
+    0xd8da01fd, 0xcd64b26d, 0x13aeb705, 0xfd4f42f8, 0x64a77a01, 0xeb543cce, 0x917cc954, 0x0c275267,
+    0x3fc0affa, 0x855903ab, 0x19951275, 0x67c7f676, 0x099b2c56, 0xff2105db, 0x1f792cc7, 0x92e93667,
+    0x00000000,
+    0x2b6587b3, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000001073741824 */
+  { 0x00000000,
+    0xfc05836a, 0x051ed40d, 0x243acdd7, 0x774c4ea4, 0x19e481e1, 0x0080b1fe, 0x46748a42, 0x8649bd6f,
+    0xd6a5ca7f, 0x580f7af5, 0x5a334eb5, 0xbb880d39, 0x2d593526, 0x58d24a72, 0x6cf13fc4, 0xb5fab69e,
+    0x9fbc2e9c, 0x41e9de2b, 0xaed0c24e, 0x0185b7cd, 0xa5919238, 0x4f438b14, 0x8df8e8fb, 0x7f94091b,
+    0xb1cce348, 0x2f1fb94e, 0x533aec47, 0x31bcfe8d, 0xea512f18, 0x2c62f236, 0x04b45404, 0xb0ef7c21,
+    0x0d54919d, 0x446abdf6, 0xef5f428c, 0xb2fe0ffe, 0x8b42f70d, 0x684e03ad, 0x2c528a69, 0xdc78b538,
+    0x1b6f55b8, 0x83e55282, 0x78930fe4, 0x7c15b506, 0x2236ec0c, 0xebed54cd, 0xdd1a0e07, 0x1b8ff198,
+    0xd6da685e, 0x3b203846, 0x7f154b65, 0x9dab8305, 0xc32b5b42, 0x093fe523, 0x72ea598e, 0x543d0eaa,
+    0x0b1aa768, 0x6f45ad8b, 0x871db256, 0x79b9623b, 0xeb317c50, 0xc906414f, 0x5a062b57, 0x151343a4,
+    0xd525d738, 0xdd60c00a, 0xbedc774c, 0xab8a9c72, 0xad5da13c, 0x9f945653, 0x8794edc5, 0xae4a65c7,
+    0x821c7389, 0x7febfd71, 0xff0a9d4a, 0xc8a41ef5, 0x3da7cbff, 0xa048254b, 0x8ea08fdc, 0xb4399551,
+    0x287c37a6, 0x2c4f3ddd, 0xd0c5cbf1, 0xb91529c5, 0x5ee2e47b, 0xa6ef971f, 0x039ac3e6, 0x54835986,
+    0xfa2495d2, 0x20bda4dc, 0xdbe1f0db, 0x1f56e827, 0xa57e3f85, 0x783970a7, 0xad11f78f, 0xa35f0500,
+    0x18651d63, 0x980b43b7, 0xae4be6e0, 0xc0737871, 0x903fc138, 0xe2082557, 0xcc8dcb8e, 0x07b3135e,
+    0x91618f93, 0x56714260, 0x52b6514c, 0x1a9d2f70, 0x6592a2f8, 0x806d8c69, 0xbb5ae6fc, 0xf4633db3,
+    0xb90468cb, 0x5747e09f, 0x2faefa2d, 0x096678c9, 0x2876ad7d, 0x727a7304, 0x8c0b6cf6, 0xf6d2b364,
+    0x052ab058, 0x77e7a500, 0x412a1365, 0xfc3aa762, 0x81e97101, 0x99b974dc, 0x4eebb096, 0x72f58d17,
+    0x7d2eea26, 0xf67bdf16, 0x1810fc52, 0x3836ee71, 0xb158658e, 0x35c44a99, 0x80c2ceb1, 0xbc865d64,
+    0x229be096, 0x519848b8, 0xc8400864, 0xb940908c, 0x5c540adb, 0x529f82f0, 0x5949240b, 0xfb871648,
+    0xaa312db2, 0x2fd4800f, 0x8b3ec31c, 0x174350f1, 0x7dd3de20, 0x9bf9e049, 0xc6f4a6d8, 0xd7e61772,
+    0x8b6b67cb, 0xffe129f1, 0x4d1fb83a, 0x55270f81, 0x1ddf47bc, 0x4fd6d551, 0xc94504c2, 0xa97c1a66,
+    0x30fa2251, 0x43979cbf, 0xdc604f7c, 0x6eca5094, 0xd77dc111, 0x3c2df6b7, 0x9f069ef5, 0xa08abef1,
+    0xe005d029, 0x78348ba2, 0x5809d8ec, 0x6328790a, 0x91c939e0, 0x5178cb29, 0x43a596ba, 0x3d89ee9b,
+    0xdbe8195e, 0x2f932607, 0x2dffc9d9, 0x6d17c517, 0xe226a1eb, 0xeb4800e9, 0xb637c5ec, 0x4f83eca2,
+    0x4a191b11, 0x3856b92e, 0xdefea5ad, 0x0df4d6c8, 0x50638d48, 0xcd361681, 0xf39311e5, 0x3ba9cac6,
+    0xe18faaf2, 0x240ce556, 0x60c3b25b, 0x6fc834dc, 0x5a381bc6, 0x8b9c5865, 0x271beb22, 0x260fd51d,
+    0xbef18591, 0x1e681bae, 0xa6c94369, 0xf34c6d55, 0xda4cb86c, 0xfce694de, 0x96529a3a, 0xe9f7d38a,
+    0x821a6e0e, 0xff2a416f, 0x61a1d19f, 0x8ab6e069, 0x50336c6b, 0xbb0e96a5, 0x61a50e80, 0xf478eb9e,
+    0x000338ce, 0xe17e89b6, 0x5e5e916c, 0x6e1dc363, 0x861779f2, 0x83a4a11f, 0x9431e0e4, 0xe6fecf0d,
+    0xe1fbebe4, 0x43fd7cf1, 0x1032cbc3, 0x1ee4d20f, 0x77a65988, 0x8b2c49f7, 0x1139adeb, 0xc237cde5,
+    0xe48f759a, 0xeefd159f, 0xac7225af, 0xc928072c, 0x82fc5865, 0x14b1c283, 0xc8915f2a, 0x855b3e34,
+    0x936d3aea, 0x2e27d94c, 0x927497b7, 0x1232b164, 0xeb8ab3af, 0x9473f98e, 0x2d4beb16, 0x5485b3b2,
+    0x68a7c0db, 0xcca7ca15, 0xb03a0868, 0x6a53eab9, 0x9bca3a3b, 0x7927f831, 0x40a19244, 0xba700e71,
+    0x6dbdc30f, 0x627966c9, 0x7f4e42c9, 0x0bfa27e8, 0xb057ca12, 0xdbf41819, 0xf39fa4e2, 0x5e5dfe13,
+    0x438d9a44, 0x09596725, 0xecc322ee, 0x7cd81e50, 0xba3e9d68, 0x685aa796, 0x44c9f9f6, 0x810bbe12,
+    0x5ce166ac, 0x361bb181, 0xa7f3fd37, 0xb8c5f373, 0x8ff56b02, 0x9ccbff59, 0x618eb02b, 0x2ba8080b,
+    0x20153600, 0xa95bb8cf, 0xc60ed2dd, 0x4fb45f33, 0x6c4bb519, 0xfb7b7bdf, 0x03d03fdf, 0x5eeb6ede,
+    0x932ec805, 0x2a3533af, 0xda4d2d2c, 0x29349a6a, 0xbc374568, 0x353e6703, 0xdcd69485, 0xdf23632a,
+    0xf80ee47b, 0x68260703, 0x78e22ffd, 0x249029ab, 0x9600c9ec, 0xa95d7fb1, 0xfe548247, 0xa4839930,
+    0xaf4a9569, 0xace7a66d, 0x833d74fd, 0x55aa8bbe, 0xf156b65c, 0xcc71d509, 0x80670e6b, 0xc5880fe7,
+    0xc2bdc9ea, 0x8b07de11, 0xcfd0296d, 0xdce81464, 0x6fcbd30c, 0x9ee3be52, 0x78f2814f, 0x31591a3d,
+    0x809cf2bb, 0x58936a0b, 0xf4bd82cc, 0x5f0e726d, 0xcac1177b, 0x70597c11, 0xa2a38b1b, 0x9eab879b,
+    0x4c71e4b1, 0x7d4051c1, 0x966ba77e, 0x4dc12d5b, 0x33f240e7, 0x0dc36a13, 0xf057fe21, 0xfc3e81f0,
+    0x6390b571, 0x6d632e1b, 0x5e4d6fef, 0x359c9f7d, 0x064fc35b, 0x65ff8ae5, 0x9bec5789, 0xa941c183,
+    0xf8aaab9d, 0x12ba23dd, 0x336730f3, 0xa4f5aee0, 0x7d8cb127, 0x6bbd0259, 0x243ed833, 0xaf60cd6f,
+    0xb5224755, 0xdcb3a4ab, 0x44b34c70, 0x5da6250c, 0x8a9bb78b, 0x442b03b4, 0x989b74be, 0xaf71ff81,
+    0xae888463, 0x3a598b86, 0xf91ba232, 0x931e50e1, 0x4abad675, 0xf903fccd, 0x5b7ac595, 0xb56caf4a,
+    0x6d2105ee, 0x8dc19cbd, 0x3a8e6489, 0xaab9dd10, 0x4b682029, 0xe57c2f55, 0x76073ea6, 0x1cead15c,
+    0xd1895871, 0xf0913303, 0x71ba536f, 0x24c28943, 0x538db846, 0x39c0e2ad, 0x38ebc30b, 0x2811ada2,
+    0x42cd25ea, 0xb2107aa5, 0x041d58cc, 0xf7fcec58, 0x8d864178, 0x7627c724, 0x8e0e6562, 0xcf4cc534,
+    0x9616152a, 0x94cea363, 0xc47b326e, 0xa15dc5ff, 0x26c8ac68, 0xec0c6430, 0xa06ac4ab, 0xcb2c1723,
+    0xd93775c3, 0xe9c6f6f5, 0x23e5f023, 0x36c22d37, 0xcbc3efc4, 0x4a0d6a65, 0x631e7084, 0x8ab0599e,
+    0x2fdf436e, 0xa81d43bc, 0x8755e7d2, 0xb52e2832, 0x74682e28, 0x30b90b4c, 0x499e49c6, 0x00e413b6,
+    0x48bc2d88, 0x80c69ca5, 0x5ff478b8, 0xfad185b6, 0x951a8637, 0x6be1ecf0, 0x58035d31, 0x88f09b41,
+    0xc10cacf6, 0x51138761, 0x7068e2c8, 0x51286db3, 0x86bf78d5, 0x2f932fac, 0x84b8ac0a, 0x9e158e84,
+    0xe364b684, 0x93f0234b, 0x043f133a, 0x27a520d7, 0x7088ccad, 0xf03fc997, 0xcf258338, 0xe4cce7a7,
+    0xa4273e7f, 0x6e51a01d, 0x519fba85, 0xe2667313, 0x475f45e2, 0x43d10994, 0x5b7eff39, 0x35770a0f,
+    0x658eb6e8, 0x89ab9aca, 0x9d95e46b, 0x4e79bc07, 0xe6ca8257, 0x6966f9ae, 0x37ed7fe0, 0xc39ae2fd,
+    0x06af1541, 0x1d84002b, 0x0b650578, 0x00a9ef48, 0x8fcf5460, 0x6b646b9a, 0x9bb7bf3e, 0xc35017f8,
+    0x7f64782f, 0x3a549a9a, 0x1b7c9c82, 0x8150445d, 0xe91541de, 0x7cb4c813, 0x04db7ba6, 0x0fc7cf4f,
+    0x1f09f38e, 0x8b8b70e9, 0x1892f5a6, 0xeeb8d510, 0x2286a404, 0xa0211bd8, 0x46bcb773, 0x18aa4904,
+    0x9bd7f77e, 0x82f58b05, 0x57152d3e, 0x32260af8, 0x11397164, 0x4f6972f8, 0xe9dc92d8, 0xf7166e2b,
+    0xb01e94e0, 0x10697444, 0x38ba81f3, 0xbe284af0, 0xd2b75593, 0xe6f0f15f, 0xe2f4874b, 0xbc63623e,
+    0x5c1a48d9, 0xda524f4b, 0xad360815, 0x3fd99ef8, 0xa2de4b8f, 0x954eef13, 0xf42ac908, 0x30a05266,
+    0xedcdc265, 0xff11603c, 0xeb2ab9aa, 0x27e37218, 0xd8c8bc01, 0x39fb80c9, 0x57369062, 0x042274f9,
+    0x2a03dafa, 0x824cb808, 0xdd194b06, 0x0c35b664, 0xe7375e2b, 0xc9646783, 0x6591d303, 0x5d93c9ba,
+    0x2ce4f6f5, 0x85a81d63, 0x62f0c63c, 0x8c047dd1, 0x77314cfe, 0x200cb34d, 0x9411d974, 0xfac1d7e2,
+    0x8a2ef092, 0x44e955cb, 0x64d785c6, 0xb413cd78, 0x0378c0f5, 0x4a1c70ef, 0x748ac86d, 0x27bcac14,
+    0xd357df40, 0xf22d2d36, 0xad453ccd, 0x7303a58d, 0x825a0652, 0x57ef61a7, 0xe4c910b5, 0xf4f7084e,
+    0x94f16050, 0x7ae72bcf, 0x13f4a383, 0x127aa79c, 0xfb9f1fc7, 0x1b2fa1af, 0x1c9ba3d7, 0x8f8ce89a,
+    0x13ec1e86, 0x2b994828, 0x7eddd535, 0xd430492e, 0xbfb2ca67, 0x05b61196, 0xceeddf0d, 0x765cffce,
+    0x2266075f, 0x8e080f62, 0x8dc2b857, 0x123b6bfc, 0xde34ca03, 0x77b33819, 0xec34f4e9, 0xc66672dd,
+    0x43e8644a, 0x6beb6aa8, 0x7012af10, 0x2a445b1f, 0xca00e0a1, 0xdd26a294, 0x7b5f02f9, 0xa5b98026,
+    0xc7c427b4, 0xe98b2ce8, 0x4e4f7648, 0xce1facf2, 0x59a4f184, 0xd50d7ef5, 0x15d03f7b, 0x18bf9a6f,
+    0x282afd95, 0x343c9ab6, 0xc67ac0ac, 0xc73008d0, 0x3f6c4503, 0x3ecadb02, 0xa642cfc6, 0x6735efe7,
+    0x5ed01969, 0x102ad6fd, 0x57059520, 0x34932a18, 0xf4fcd13b, 0xf308f31c, 0x4020bf6d, 0x74d6a2ac,
+    0xa051176e, 0xb3a245f8, 0x4437b077, 0x31bb749e, 0xc0227806, 0x3962fddb, 0xfb54fc98, 0xc5e937d9,
+    0x038d54be, 0x73ccd1ba, 0x712d6210, 0x20af07a8, 0xf7a08785, 0xd9108723, 0x2f379a91, 0x51f8a0e9,
+    0xe014579d, 0x9c62e1fb, 0x86c007c0, 0x574e698b, 0x6efa4c85, 0x1497ca97, 0x90090f5a, 0xb50bd6bf,
+    0x59c86c23, 0x3b7c17d8, 0x07170b0f, 0xe7a2b287, 0x5cb04263, 0xfb399976, 0xf99ecca4, 0x1cd5fc01,
+    0x2975e073, 0x1e6bc167, 0xe8915237, 0xb90de160, 0xa5431df8, 0xcfa03370, 0x9c5118bb, 0x11b5954c,
+    0x48759c2b, 0x0612d0a4, 0x9ae0ab12, 0x5107cc9d, 0x54c772c6, 0x12a6fb81, 0xe65f5dd1, 0x71f84e8f,
+    0x73aa2019, 0xc1552f5f, 0x039ab211, 0x455b35bd, 0x2529e10b, 0x3a774a6e, 0x19c788cd, 0xea87dafc,
+    0x685e86a5, 0xca4b4e73, 0x93e3a24d, 0xe4ac820c, 0xa22a4213, 0x6e602867, 0xd1b0d0c9, 0x56cdebc6,
+    0xc73a9e04, 0x816924a4, 0x06ff9fab, 0xfacb3641, 0xb6f4fbdd, 0xa702c92b, 0x5793ae86, 0x821e06a6,
+    0xe9a90f1c, 0xdece1bb0, 0x1ce02a8d, 0xa5c42251, 0x556b126b, 0xeabcbcfc, 0x8d76c5a5, 0x9e4da2b4,
+    0x92d87a09, 0x1eef502d, 0x0acf087a, 0x8b2c6cc8, 0x40cceb55, 0x84f89c0c, 0x3dc1e85a, 0xe42ebf15,
+    0xe355a35d, 0x052ab245, 0x5635799a, 0xc4567988, 0x5dd21f8a, 0x84c519a4, 0x36b4be77, 0xd83bd7b4,
+    0x9f2849bb, 0xf06c4fd1, 0xe97f801a, 0x3c2dacb3, 0x1debabf2, 0x9c7d425b, 0x2e28f1da, 0xe447af8d,
+    0x55cde1cc, 0xebdeefa4, 0x7ce08e08, 0x847654a6, 0x0e043fe0, 0x4073019a, 0x7d5a2e2f, 0xba599cbc,
+    0x4e0ce953, 0xcb2126f3, 0xdc72775b, 0x28604cd5, 0x0a3187d8, 0xf2520497, 0x8cd3fe52, 0xa434aa9e,
+    0x1ac6b816, 0x50d05979, 0x2f10065e, 0x29b3650b, 0x8ffb28bc, 0x407016e5, 0x2dc42d0d, 0x5cb34b3f,
+    0xa170ee0e, 0x0dfa2454, 0x6c452ee5, 0x5e5a6952, 0x7f0e3510, 0xefcac89d, 0xd0b03550, 0x13c04e25,
+    0x5663e6ad, 0x27d09f3e, 0x0598ddae, 0x3aa0b0eb, 0xfcb4ddd4, 0xa30d9f6a, 0xc9b04432, 0x3b2bc728,
+    0x9168ef59, 0x89a78eb9, 0x169ceac6, 0x9a3017a9, 0xbc402415, 0x9d0dbfc8, 0xd966b5be, 0x13115fa4,
+    0x9425c5b1, 0xa24c691d, 0x990c840c, 0x216f6a1a, 0x9faf9d99, 0xa8e421c0, 0xa38dcd91, 0xd71b8b5f,
+    0x07209fc0, 0x4932a92f, 0x70d95abd, 0xe92f853e, 0xbb03d17c, 0xfc44c502, 0x5af9b01d, 0x450c7ff7,
+    0x1a55594e, 0x6795f6e2, 0x975c9a15, 0xbf531ba9, 0x03dad081, 0x05171532, 0xf34aa653, 0x18a5c614,
+    0xdb875df8, 0xf97dbdde, 0x84d0d11d, 0x9d843013, 0xc62ca2c5, 0x53014469, 0xac925c23, 0xd8bfd1f3,
+    0x893d5894, 0x1c21cd6a, 0x1e180177, 0x002b4a08, 0x77089bb3, 0x28f17117, 0xdcdb3b7b, 0xf22564f9,
+    0xa00b0c62, 0x32cd7f6e, 0x9842758c, 0xa05af0a7, 0x30a99879, 0x8033596e, 0x12072613, 0x8a1c7b39,
+    0xd49fae0f, 0x1ea2e3f4, 0x6d08ce89, 0xf17a16b1, 0x80e57b1c, 0xa654084f, 0x6aba2174, 0x2a44a7a0,
+    0x10886335, 0xf104a85c, 0xc3c014f7, 0x1d6b3f80, 0xfa2ea3f7, 0x0b006795, 0xe9cd07d7, 0xb9f4606d,
+    0x957a52a2, 0x47d2762c, 0xbd74a5ca, 0xae8461ea, 0xe5ec95e7, 0x0be9eee0, 0x6801f00b, 0x3a842136,
+    0xc0a86c83, 0xf6c858ce, 0x40ea6f9c, 0x9b6d6934, 0xb4e57f48, 0xc16922bb, 0x6319d132, 0x98646f9e,
+    0x3c3b36f7, 0x80b72b79, 0x48897b46, 0x5d44d656, 0x4b4146c6, 0x0c4d22e3, 0x927a9e96, 0x1d68c5d6,
+    0xd36cddf5, 0x5c837c85, 0xfe463a23, 0xb5af4be0, 0x5c24911d, 0x6f3ada40, 0x9f0b0e8f, 0x83614f29,
+    0xf0f2c0d4, 0x2f751850, 0xc32bdbcf, 0x3c64bd3b, 0xaafcddb6, 0xe34b6792, 0xc840af64, 0x863a3809,
+    0x82e83eeb, 0x16079c81, 0x1e071b3e, 0xf4c5ed79, 0x4cfdcf8a, 0xdc652370, 0x09004961, 0xc13a2e64,
+    0x62e51147, 0xc00c3971, 0x0b68e3bb, 0x67d920ca, 0xb01f2027, 0x1393b28d, 0x564461a2, 0x86b6e5e0,
+    0x0d2bc7bf, 0x48f69fce, 0xe7b97aaf, 0x86cfb990, 0x863b3ed0, 0xed782530, 0x5e1cf569, 0x0ba0a9be,
+    0xeae39e0e, 0x11e412df, 0x127056b1, 0x915a656a, 0x208b03e9, 0x94d77fdf, 0x4a0b778d, 0xdd12b690,
+    0x5eb75160, 0x41e127c6, 0xcedf9705, 0xbe534d0a, 0xa5b9397c, 0x1a27b7ae, 0xa1a24d9d, 0xa9bf9af0,
+    0x9c7e443c, 0x46561309, 0x2695a535, 0x3280dc16, 0x55ce7f46, 0xc5dee4d0, 0x2a7d6ff6, 0xbc7da6b0,
+    0x835f5ba6, 0xe949c10e, 0x0f52939e, 0xcf41f747, 0xf31dc840, 0xefb3a192, 0xa3b96805, 0xc501f6f3,
+    0x1fa38887, 0xf3d58288, 0x7e7a98d3, 0x2b0c1c6b, 0x4e9b8c90, 0x523b5cc9, 0x5cba496e, 0x229bc899,
+    0x2d70d07e, 0x54553386, 0x8dff3937, 0xd0a36514, 0x9f26f201, 0x153d819f, 0x117593df, 0x8cd1087c,
+    0x643161ce, 0x0e95df0d, 0xd31233e9, 0xb9be9419, 0xe2e0656d, 0x50da4790, 0x24905b13, 0x95c8dca8,
+    0xacc1df98, 0xf18ef6e6, 0x8de340c1, 0xe0c5fde2, 0x3e61228b, 0x79233271, 0x800ce1c3, 0x8aa898a8,
+    0x587709b2, 0xfe9ba36c, 0xa1b36636, 0xb4ad530a, 0x72df6c89, 0x7e63b34b, 0x899259aa, 0x0dd60b1c,
+    0xc128f920, 0x5eae0f91, 0xfe92f811, 0x1683cbdd, 0x16247b61, 0xb8b3c68f, 0x0e98c3a9, 0x7bb3cd59,
+    0x2f70f25e, 0x3556a5d3, 0x6e9c15d9, 0x81819dee, 0x416e3e54, 0x717cd6fb, 0x35e9f844, 0x725ccd3b,
+    0x42d6304d, 0x114fb8b3, 0x7189656b, 0x93aeaf13, 0xdfdd548f, 0x5c307ac0, 0x3ba6d8c3, 0xa5a6011e,
+    0xefa6bb3f, 0xddc20a58, 0xb4efbc5a, 0x4d97e52b, 0x1fa44d63, 0xcd392aec, 0x8aea0f66, 0x0c31b975,
+    0x474890e0, 0xd9eb5085, 0x33685f55, 0xa3750fce, 0xa421bd69, 0xbf4fdd91, 0xaee27d6e, 0x52b47e5d,
+    0x76b66749, 0x8b1e0898, 0xe2bc7227, 0x20eac8ce, 0xc107a869, 0x829f942d, 0xecfcbf14, 0x79115b52,
+    0xf94c0325, 0x3ef259a0, 0xefaf4abc, 0x61fe85a5, 0xee2e5c96, 0xbee21a0c, 0x796f91f5, 0x8921405b,
+    0x00000000,
+    0x95b2c3d9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000536870912 */
+  { 0x00000000,
+    0x78f394ac, 0x1c081f19, 0x05157473, 0xfb8d0d1a, 0xc2622376, 0x10c027d2, 0xc41daa8b, 0xafbf4919,
+    0x862a3192, 0x3ef146b4, 0x450ca73b, 0x09ceeae0, 0x36b3c0a8, 0xbaf16795, 0x9394958d, 0x25b05241,
+    0x42b2a4c6, 0x6dab801a, 0x49538a44, 0x0322062a, 0xcd7765c5, 0x9091a9c0, 0x58d07b9a, 0xec8f45d2,
+    0x1202b530, 0x72c0c158, 0xef54e5ea, 0x71a2a195, 0x5bbb63aa, 0x7479b20f, 0xab7ff151, 0x997714d5,
+    0x7667a792, 0xba3e0075, 0xafce6d82, 0x89fecdc9, 0xc3d36551, 0xae970205, 0x78c5dde1, 0xafe04be8,
+    0xd310931d, 0x4910de0d, 0x5f94bbc5, 0x88463ee3, 0x75f04441, 0x93ece9a2, 0x05af7b6b, 0x10c88baa,
+    0xd15768a6, 0x56d6d54f, 0xbbaf5cf6, 0x135f8e4e, 0x0c59f3db, 0xff0165af, 0x2ae96d62, 0x560c468f,
+    0x7500f9f8, 0x2e2000d6, 0x4d4efc58, 0xe16f9f3f, 0x3a71244a, 0x727d03cc, 0x7ad2a62b, 0x525f5275,
+    0xe11837ad, 0xc97149fa, 0xe3479693, 0x3539f9f8, 0xe5bce602, 0xfa0fb0b4, 0x64120e65, 0xb03090f0,
+    0x301cb086, 0xbcff3cb3, 0xbe9daf7f, 0x9d8f1829, 0xfb314b3a, 0xfc9ddc36, 0x14078168, 0x80053666,
+    0x69173d45, 0xe7ef6be7, 0xcd5e8884, 0x19e3db33, 0x95243960, 0xb4d12114, 0x8052651c, 0x13aefa13,
+    0xf9e89679, 0x2c16c61b, 0x1112e348, 0xd418475b, 0x91410117, 0xa0196799, 0x0d1a5c28, 0xb22ce038,
+    0xa1d9f76c, 0xe62d5b3e, 0x4e7f4ce3, 0xb17a885d, 0x2bc72d0b, 0xd46a7528, 0x72ea2808, 0x597e1bd3,
+    0xfca02e58, 0xdde667ee, 0x5dcbae19, 0xd87844fd, 0x2b47927c, 0x2597aac8, 0x414b772d, 0x44275fee,
+    0xc50a8f83, 0x43713927, 0xfd9c8dd8, 0xfe6e2ab1, 0xf46f005d, 0x91c9c6c0, 0x422998ca, 0xc57c69ba,
+    0x17291575, 0xf4131660, 0x01390f8f, 0x3ecfaa92, 0x1427d3a6, 0x47b3e290, 0x08d4091a, 0x99e8f962,
+    0x76b331f9, 0x6e73d7c6, 0x4d8c72ed, 0x13c8e454, 0x1904a597, 0x7f93c13d, 0x3e328124, 0x9825a720,
+    0xea3cc7aa, 0xf713fb53, 0x563583b9, 0x9a800fca, 0x4b03f360, 0x24daefe7, 0x84e75eb9, 0xff9708f7,
+    0x3c16c083, 0xfdb5b5dc, 0xb3fd16b5, 0xc21af137, 0xbf2f0b7a, 0xc3cbc8a5, 0xa2d1edc7, 0x3271ee5b,
+    0xd61242d1, 0x71029c4a, 0x1a716ef5, 0xa5db1047, 0xa3136fb0, 0xbe8d0e63, 0x52442349, 0x89040bfe,
+    0xdca4acaf, 0xef72884e, 0x35f00ff1, 0xda740d5e, 0x8d3e9527, 0x3ba32197, 0x1ebe6386, 0xc94d6b21,
+    0xb8c9cbe9, 0x7136d2a6, 0xb16d374d, 0xd62648e4, 0x964b51fd, 0x1f0cdd0b, 0x72b71423, 0xcd7a4903,
+    0x8880272c, 0x1b5f2c89, 0x1381e6ce, 0x1cfce45c, 0xf3719b94, 0x754d7885, 0x872a5a9b, 0xfa96e884,
+    0x2249c68e, 0x432f3719, 0xc777c858, 0xed0b369a, 0x94d9b0fd, 0x3b930720, 0x771b2126, 0x5bb615d3,
+    0x7b7b8ff2, 0xb87ceddf, 0x58530b1b, 0xaa17b447, 0x83f4bcbe, 0xe554be83, 0x930bbad9, 0x3f1f69fc,
+    0x18454894, 0xf49a965a, 0xad8c5533, 0xa613c857, 0xce500449, 0xbb0188a1, 0x7c1fd3d1, 0x15e8c356,
+    0x44e295bd, 0xe4684e17, 0x33054955, 0x846c195a, 0x1f2bda8d, 0xce3f302a, 0xefd4d9e1, 0x3615469e,
+    0x311a6561, 0x0d5fcbb9, 0x7f776353, 0x2b36ffd6, 0xcc2d6308, 0x8da3c9e4, 0xceb6750e, 0xefcad6ee,
+    0x3dc51a37, 0x9b2348f5, 0x37f38b6c, 0x05d37403, 0xb5b4dbe3, 0x3e64c1b4, 0x1f710547, 0xf8d71b55,
+    0xc0ec52f0, 0xc732e28b, 0x6982a0fc, 0x9858b14c, 0x6708f178, 0xb5e1beba, 0x3f304169, 0xa112c163,
+    0xff0a3393, 0x20ccbfa8, 0x3f70cb3c, 0x8dd98ead, 0xba032fd5, 0x54a7a896, 0xdf98bb28, 0x0aa421dd,
+    0xa37309a9, 0x074089ff, 0x0e1976e4, 0xd228a825, 0x1ea15ad4, 0x2cf6fb1d, 0x16a5db9d, 0xc5d030eb,
+    0x33b75791, 0xb218e56c, 0x3c28e28e, 0xe46cdb6e, 0x0ce1b34b, 0x7c3a43df, 0x1475efbd, 0xea7227a2,
+    0x032ce6f1, 0x01b85e3a, 0x3d1a9b6a, 0x48354573, 0x520d5c81, 0x1b3f46f0, 0xf209e7b8, 0x00cd0b7a,
+    0xc31d4aec, 0x2bc6495f, 0x336c8621, 0x1245fdc0, 0xd88407f7, 0xf7086b46, 0x759e19ce, 0x6deb34ac,
+    0x02f3cc02, 0x6e3a8514, 0x1e5d6ee9, 0x28e334c6, 0x8136ebc0, 0xf6aea3fd, 0x44a9f759, 0xeed66398,
+    0xfac436de, 0x3433b51b, 0xaedbeea5, 0xc73e14d8, 0x9eefc37b, 0x7ed7cddb, 0x1579cac2, 0xa8cd1db5,
+    0xa069bef4, 0xfbaae814, 0x924aa2a6, 0x0e6a4e77, 0x77e770d2, 0x20d4fffb, 0xaed01e40, 0x3fb327ab,
+    0x9681b8f4, 0xd01fa0e8, 0xaed2ac2c, 0x44564cce, 0xcc221350, 0x30b20c7f, 0x473baee3, 0x5df4f021,
+    0xea04d621, 0x8f966d4e, 0xf70eddf1, 0xa6ebb5bc, 0x88487b45, 0xc87ba4fd, 0x3cfd5e37, 0x332632e7,
+    0x9ddd4153, 0x18e41df4, 0x5d93a7c8, 0x14b7ea98, 0xfb1a49ae, 0xed03b18c, 0x29b5961a, 0xd1ba5deb,
+    0xc4800982, 0x9c2511b7, 0x4387702f, 0x05a8e89c, 0x4a305ba3, 0x4a7e9969, 0xe41b4b7d, 0xc5fa5612,
+    0xe87f15cb, 0xcfa1028e, 0xf68d55c5, 0xbb0c7a5c, 0x7cdc8232, 0x5308bce8, 0xfcfefba4, 0x2c5e1b98,
+    0x26d6ec0c, 0x65331abe, 0x6f701200, 0x32ac8ad8, 0x36ec600d, 0x973b30be, 0xe2372d93, 0x86cdf0b8,
+    0xff4f77b3, 0x32207016, 0x4179165d, 0x1a3d02b3, 0xee8e36b1, 0x61eeb3db, 0x5c0aabef, 0x01940779,
+    0x203c9d8a, 0x102499de, 0xcd5c94d1, 0x6b3dc354, 0x7ec39b56, 0x995e95c4, 0xb7de05c2, 0x62fcbaa8,
+    0x984c7be9, 0xe61f8f77, 0x4805eeed, 0xe07fdc97, 0x2aced168, 0xaeedba81, 0x1cfdb162, 0xce91c72f,
+    0x92330d66, 0x76f0dd64, 0x4715518d, 0x7a24c584, 0x0a42d01b, 0x437d765a, 0xb401e1e8, 0x8fed060b,
+    0x9a5ed49b, 0x7fdcfddb, 0xc5cd2d91, 0x66d09642, 0x503be499, 0x0eebdcca, 0x9d65c54a, 0x4adfe6ad,
+    0x3cc360e8, 0xfff558fc, 0x772fd790, 0xe2a47009, 0x9a3c25a9, 0x95ed28f0, 0x0224c02f, 0xe6c250f3,
+    0x20583394, 0xbd4acdc6, 0x8cefe7f7, 0x022bbad5, 0x544be099, 0xe415fe54, 0x295c5671, 0x4da776bf,
+    0x3eb5bb1b, 0xe91d661c, 0x72dab8f2, 0x5a30aeb7, 0xb0c7de53, 0x6eadf4b4, 0x17738688, 0x337e8fbf,
+    0x199b72fb, 0x0e602077, 0x490d28d6, 0x0c6636d9, 0xfb3689ab, 0x2c8d3667, 0x238c618f, 0x6bdc52ef,
+    0xf6266616, 0x2032094d, 0x4dad51f8, 0x8ea1d39f, 0x82c6e56b, 0xfc13250f, 0x95bb2dba, 0x46a8415d,
+    0xb2ae2057, 0xdea83c92, 0xec82baf3, 0x2262e1f1, 0x5f5bd870, 0xfffe9eb8, 0x54c879f5, 0x74c9206d,
+    0x13d3e0a2, 0x0081e40a, 0x705dd454, 0x9f500633, 0x9aed2f16, 0x0047fec3, 0x364d9452, 0xb8a5c645,
+    0x265a22f2, 0xa9b2fc87, 0xfe7a6329, 0x8a142cd5, 0x5aeb6831, 0x34c3876d, 0x94a04b49, 0x03b7d5c2,
+    0x45cd3ed3, 0x6ed160a5, 0x713f670a, 0x9689e310, 0x740d8e9d, 0xecf576ee, 0xb7bccb8a, 0x957dad5f,
+    0x626510db, 0x56aeb308, 0x3eafd22b, 0x5df2e95d, 0x892301be, 0x3626bd4d, 0xe8323987, 0xcbbac576,
+    0xf6d85594, 0x2e2becdc, 0x1fce1520, 0x97505128, 0xcf410594, 0x557ba7cc, 0x09fd37fd, 0xf3be2577,
+    0x73f50af3, 0xb427f37f, 0x7466c1b0, 0xc19586b0, 0x92814f09, 0x03494b46, 0x3f78dca5, 0xc0106f12,
+    0xfdb64424, 0x22ba1bea, 0x9fc15fe6, 0xc1b0926b, 0x60dbcca0, 0xcb02c1d8, 0x431fa7de, 0x09af5bcb,
+    0x0b46c0d6, 0x9c897da6, 0x0cabb3a3, 0x345c721d, 0x7563ad79, 0x80c2adb6, 0x58c702e7, 0x02784b94,
+    0xa1283056, 0xbab7ea07, 0x0afcffc3, 0x07c3d7b0, 0x1e07ad03, 0x95f0ba25, 0xc277427e, 0x16156cff,
+    0x492f9ebc, 0x4d57de05, 0x7e39c665, 0xbff04af3, 0x92fba9ca, 0xd632103a, 0x63da2745, 0x7eaa4df5,
+    0x76604844, 0x5c4f0e8a, 0x97cdef9a, 0x50f80f3e, 0xec3cba31, 0x670610f9, 0x8366daaf, 0x8c1f5b7f,
+    0x6291045f, 0xc7accd7f, 0xb186a297, 0x22fe1ac8, 0x6ea3ed95, 0x55f7a8f8, 0xe7802325, 0xac791419,
+    0xccf5812c, 0x4268c801, 0x525ef0fc, 0xca8d72e5, 0xba18e33b, 0x747ab407, 0x392af9ee, 0x6d74b247,
+    0x602189bb, 0xd65e2dff, 0xdb34b5ac, 0xd415c3f6, 0xcc0d9af9, 0xd1fe1b28, 0x6049919d, 0xc35b6193,
+    0xc958924d, 0x978dc6dd, 0x8119bfbb, 0x40e2bea3, 0x4950b5b0, 0x7198b8fa, 0x3d330c95, 0x3a0706e1,
+    0xcc904f22, 0xea0ce7b1, 0x4cbefcbb, 0xb151d773, 0xf8dc8a8c, 0x1d193bb5, 0x2a9b3a2b, 0x940832c3,
+    0x008e4b65, 0xa79e465c, 0xdc17d1c7, 0x90d65ee7, 0xbb7043a9, 0x95d8b6dc, 0x61281fc4, 0xe0327d26,
+    0x944630c6, 0x3840e6b9, 0x066e6e58, 0xe48b23fc, 0x7f4982e8, 0x60db98c5, 0x81014b38, 0x057e4ea8,
+    0x85acd09b, 0xe31ac925, 0x666a34d5, 0x6503e1e3, 0x7ec7d59e, 0x376bdf24, 0xdeff992d, 0x5224b54d,
+    0x07c671b3, 0xc1deef5f, 0x52d4de15, 0xe5616606, 0x491cf14f, 0xc096b72c, 0xb66a8d25, 0x4fef5bb7,
+    0x52c3e549, 0x1e438ffe, 0xa1175d18, 0xd11233e5, 0xafd78b27, 0xf40034bf, 0xda51c544, 0x491f14cf,
+    0x615681be, 0x4da2ee57, 0x6abb5a06, 0x11596d79, 0x52938ce8, 0x4c1f3c6b, 0x0e127ec7, 0x23c04116,
+    0x602d8a77, 0x7e6f7442, 0x262826b3, 0xe8fd0d66, 0x2cbc1c5b, 0x9cb940a4, 0x779420e5, 0x11e0a85e,
+    0xcf7ba949, 0xd1c8334a, 0x1b2a07ad, 0x7b9f5127, 0x6fe654bf, 0x6546dea0, 0x3107a626, 0x2fd50e63,
+    0xc1081eb9, 0x543328cf, 0xa23c427f, 0x2acad41b, 0xf23cc4ec, 0xf607d66b, 0x3e29549f, 0x129e9876,
+    0x6fc23197, 0xd61adf30, 0xf6871899, 0x1368321c, 0x881ffbbf, 0x43a83527, 0x0d10587f, 0x4f576b49,
+    0x2607a1db, 0xd35a0ee8, 0xcaf0bf77, 0x3c7f9fdb, 0x6ea46a00, 0x150ee281, 0x655d0143, 0x2cf3ab11,
+    0x0feca5e3, 0x4e285fce, 0xf7ce3b25, 0x2936954a, 0x3da09471, 0x404f06dd, 0xdf2f4d84, 0xe371c4aa,
+    0x2837db93, 0x56756ce3, 0x6db723a5, 0x5673ea45, 0x9d778977, 0x20cfda9e, 0x96a9c50b, 0xe4f1744c,
+    0xea9ffa73, 0xc6cce244, 0xa50c745d, 0x5d0380df, 0x0bb1545e, 0xcc41dd9e, 0xde88d060, 0x6c9f6c0a,
+    0x88dc6876, 0xad987653, 0xb1b49058, 0x6b47e31d, 0xc2cc6d88, 0x992e4734, 0xf15a5ead, 0xf2638138,
+    0x3ef840b7, 0xf6a914dc, 0xf7cdb51f, 0x2ec2d267, 0x2777fd6c, 0xb66902ef, 0xef1ec6f9, 0xd293d9b8,
+    0x97772ae0, 0x8e2401e6, 0x6c9747d3, 0x1b114724, 0xea008933, 0x94b6d5c2, 0x7b22b45e, 0xc6b49ec2,
+    0x91332071, 0x8d33e19d, 0x98fe0996, 0xf6a55f44, 0xf57744e3, 0xd51abcb8, 0x5b5bce34, 0x0be24f9f,
+    0x8850f11c, 0x62d1b577, 0x6d862157, 0x0be744d5, 0x7a098e49, 0x1c68bd5f, 0xaf5c7dc2, 0x2b67b03f,
+    0xb92a2557, 0x98c2b082, 0x67e565f4, 0x8335a671, 0x81ffd2cb, 0x16412dfb, 0x045e501b, 0x58f1b0c2,
+    0xba71f405, 0x58446282, 0x9e997db0, 0x03adaf18, 0xc3e83941, 0xad09d099, 0xc2890798, 0x4dc4ccf5,
+    0x0dfeae22, 0x16506461, 0xd3ed758a, 0xdaf54edc, 0x48919c35, 0x505d12e9, 0xb0cfc1bb, 0x2172b676,
+    0x7bcf96fa, 0xdb667aa3, 0x0736ae64, 0xa619253b, 0xde0fed75, 0xac8cd40e, 0x2ef262ac, 0x9f2499e6,
+    0x3c925e36, 0x7970171c, 0xcb690e51, 0x1a9b6b62, 0x1885982f, 0xd88a022a, 0x2725b1d0, 0x2aab282f,
+    0x8faf9574, 0xec202522, 0x38a25a0b, 0x6b2b7223, 0x93031152, 0x8578f39d, 0x51d4f801, 0x00d9445a,
+    0x2e7a94db, 0x0c2784dc, 0xd2fda8a8, 0xf7b1cba1, 0x21ea36a8, 0x11ee5eaf, 0x1095da8a, 0x486d7a47,
+    0xf3ab2348, 0xaba1cd25, 0x3b8136bf, 0xdc6762af, 0xf7233fd3, 0x8cf1ca69, 0xfa2ddc5f, 0xcda7dfad,
+    0x167700f2, 0xcf68e45f, 0x56439251, 0x322f95d4, 0x43f00fe8, 0x6b838dda, 0xb3695ff2, 0x50df29cb,
+    0xe961fc66, 0x6684c43d, 0x8998a643, 0xc6af5df7, 0x1d4e8ae9, 0x81baba19, 0x75b3df52, 0xfcd739bf,
+    0x6e165277, 0x7d832a84, 0xfc2d9a3d, 0x39b127c8, 0x3bcb81b5, 0x52abb7f3, 0xe93c6047, 0x8b2e8c0d,
+    0xf0acf08c, 0x7dafda87, 0xd695cd15, 0xca7a7274, 0x7429fce4, 0x6d9a69f0, 0x03aaa49e, 0xa98a94fc,
+    0x5a2d8083, 0x56cf932d, 0x4f3864be, 0x484e3a40, 0xeca36d5b, 0x53420154, 0x42c1a04e, 0x281cfcc1,
+    0xeb26bad8, 0xaf62962b, 0xd987c5b6, 0xd83028fd, 0xfab6b917, 0x4835812b, 0x26066d53, 0x96eed780,
+    0x272573e2, 0x0ab5b177, 0x393d8449, 0xccc01d43, 0xade223cf, 0x5dda4af6, 0x1ad5a26a, 0x55e4889c,
+    0xb9ddab8c, 0x7e6bc7cb, 0x4d4f4a1d, 0x0734cf63, 0x0e85fc74, 0x8ac3a649, 0x0cc8f5b0, 0x4adb10cf,
+    0x67fdcc7c, 0x4812d21d, 0x73922863, 0x04eace62, 0x50303e49, 0x7b892a89, 0xeaccb6df, 0x33a4c60d,
+    0xe3d096ae, 0x7db8c3b2, 0xf6b6f592, 0x0d0ddba2, 0xa981eb47, 0xa5280bec, 0x40517be8, 0xeabd84f2,
+    0x6ff3132d, 0xa4242278, 0xc22197d9, 0x965767b7, 0x1ae01148, 0x30050e9b, 0x891335b7, 0x82989167,
+    0x0624627b, 0x36fee8ec, 0xb6e0b711, 0x6fbaa0e8, 0xf9923bbd, 0xa857fb6c, 0xdc709b8b, 0xea7f43ed,
+    0x4c3e80c4, 0x438b3a8b, 0x84671fca, 0xfdc2f4de, 0x9b101774, 0x03b14d6e, 0x9d6edb09, 0x468cb1fc,
+    0xc4434fa3, 0x4f010431, 0x2e17918b, 0x7f774238, 0xf4df9998, 0x51b369c0, 0xc2ebd531, 0xa884d3d8,
+    0x197db4fb, 0x5734149b, 0x9735890b, 0xb421c519, 0x18e7b640, 0x3d5ba436, 0x5b170e2c, 0xb4f1c182,
+    0xe668e893, 0x911e25a9, 0x146cb4da, 0x6365abd1, 0x98eaefc4, 0x8c5718e0, 0x8f07c112, 0x7aebc54f,
+    0x0f991e9c, 0x306b3cfa, 0xf7bffccd, 0xf7f50a4b, 0x99728f41, 0xa045bb81, 0x172776df, 0x5a7b8374,
+    0x8825efab, 0x36b77659, 0x66e34ebe, 0x3dc7f632, 0xcbecd395, 0xb350e174, 0x2461c655, 0xb5d77408,
+    0x3db4f8f8, 0xd5be9c2f, 0x6b255c53, 0x36dd6976, 0x30a33adc, 0x696f3ecf, 0x64e60d50, 0x0f40c245,
+    0xf248c9d8, 0xf1066142, 0x086fa44e, 0xde792e3d, 0x5f7e1679, 0x42587bc4, 0x3246e2f9, 0xf063a8a0,
+    0x6fd04292, 0xabfc387b, 0x3aa2ac32, 0xe6575a96, 0x760b9bf1, 0x49342f30, 0x5e5c7ad5, 0x23324d48,
+    0x55465eed, 0x4290ae34, 0xbe9533f0, 0x93639d75, 0x605b6efb, 0xdb51d2f6, 0x7b889ece, 0xf125d81b,
+    0x373acb7c, 0xac73942a, 0x532ace55, 0x7d87039c, 0xe0349269, 0x0b49cf0b, 0x64ea2df8, 0x577c8973,
+    0xdaf8e994, 0xc4756459, 0x99d1b16b, 0xab2cdbf7, 0x3a025047, 0x27ec0549, 0x019d9eb0, 0x8493536f,
+    0xe6dda02d, 0x33755c0e, 0x627f5652, 0x672f281b, 0x5bd5dc1c, 0x0c3bb895, 0xae7cb2f6, 0xaf6d358e,
+    0x85177fdf, 0xc9a589f8, 0x5650c531, 0xde26de1d, 0x2ce8b3d2, 0xf577e608, 0xa9f3add7, 0x0da0c57d,
+    0x0a4e4b46, 0xad630cd8, 0xa4f2a0dc, 0xf259704d, 0xf1e85499, 0xd31ae12a, 0xc3d386c3, 0x9ea89e16,
+    0x3e6b214f, 0x5e34625e, 0x083cc9bc, 0x284cc701, 0xcab1ea5a, 0x5ed1c885, 0xb0082efb, 0x847c7fa4,
+    0x00000000,
+    0xcad961ec, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000268435456 */
+  { 0x00000000,
+    0x39494af3, 0xea661f54, 0x66bb322a, 0x60a111c4, 0x7753362a, 0xe33138df, 0x5ec580b0, 0xb7b4275c,
+    0xb825844f, 0x6bcf738e, 0x72c62ded, 0x70882834, 0x40bda459, 0xb8fbd566, 0x5eb58d34, 0xa3b5aa2b,
+    0x7a37e683, 0x76ef7f03, 0x0d4e7094, 0xd6353c6c, 0xd10d7ced, 0x91de29ea, 0x8df548e5, 0x0648fb0b,
+    0x091d2258, 0xc6fe7883, 0x25f57de9, 0x2cd547a1, 0xe20a6755, 0xadac2baa, 0x16017a7e, 0xcc4dc9dc,
+    0xc2bc4f8c, 0x4a7ac531, 0xc0fe2f10, 0x8912e8d9, 0x43cac88f, 0x8407970b, 0xf59a02db, 0xc13c0646,
+    0xe1045eb6, 0x75da2cc3, 0x31eaeb9c, 0x7c06d139, 0xf978d71c, 0x717fdbb5, 0x79ec374b, 0xaf515114,
+    0xc5ec49ca, 0x303a27db, 0xecb2d0a9, 0x202a5abc, 0x773a405e, 0x4c6e90d9, 0xce5d113b, 0x83a4cb9b,
+    0xf8c803d1, 0x46235dec, 0xac9c9a3e, 0x6201a92a, 0x78e65f1d, 0xb2a6bf69, 0x447758d0, 0xd51ce3f1,
+    0x1ba56250, 0xb1a0b1c8, 0x8374ba2d, 0x60221016, 0x50f39197, 0x16668415, 0xe3e5d350, 0x085a1f2e,
+    0x12a09838, 0xf3d1229b, 0xfd45961b, 0x58ddeafa, 0xe6a42031, 0x5eb2b36f, 0xf7b88c09, 0x20b878ef,
+    0x6617e86f, 0xfe60e3ce, 0xe025b222, 0x2c9d4f4a, 0x85ab7910, 0x424a04c4, 0x3a3b5491, 0xf40c452e,
+    0xc041c817, 0x13fd1b5e, 0xb51fd0a2, 0x83fbcde7, 0x8f25de7d, 0x9a2e7800, 0x7a6a84ad, 0xa09932df,
+    0xb2d8154a, 0xa0f52c7a, 0x4c59ba00, 0x59c41c20, 0xc3b456c0, 0x5e22fb07, 0x80de8c46, 0x4f7c8358,
+    0x50481d47, 0xcc62c677, 0x72ccace4, 0xa2b4b7b5, 0x18874915, 0x37c85adb, 0x48aa2517, 0xbd2a366b,
+    0x6d791ebb, 0x570ece28, 0x46690542, 0x872c6625, 0x31764ade, 0xce9bf29a, 0x08747996, 0x349cda6c,
+    0xa73e327b, 0xd6004e2d, 0x026fe4c9, 0x9c033a3a, 0xdba6dca8, 0xeda8fbe4, 0xd595a5ba, 0x14f25c51,
+    0x0e2e7fe7, 0xd503ec2c, 0x4088bd12, 0x5fba63ee, 0x77427b8d, 0x246eb8ef, 0x314c7455, 0x85fecaa6,
+    0x317e442a, 0xf1c88657, 0x6ffbcdc5, 0x0bab4eba, 0x1ab8a817, 0x3d715b34, 0x267bbe30, 0x296b7ef8,
+    0xec9c2f35, 0xd9e3ab33, 0x8bff4388, 0x021e5b55, 0x0879dd1c, 0x7db9315d, 0xabdf886f, 0x2f3d467e,
+    0xc46993a5, 0x43b75004, 0xe024e250, 0xdd113c38, 0x8c278822, 0xbe0d9347, 0x2eac27f1, 0xb1caa251,
+    0x769d68ef, 0x6999e18f, 0xcfc7ed4c, 0x9abf86b4, 0xed969ee1, 0xd8e5b987, 0xe389c2d1, 0x6e86cd53,
+    0x88d5c8d3, 0x7cb10ccb, 0xf1039e38, 0xa83cb102, 0x1c833391, 0xd45ddd51, 0xe923a559, 0x88ba0c66,
+    0x34d1822b, 0xba81ce14, 0xd11462bc, 0xb7686fb7, 0x0ca328b3, 0x509935cb, 0x35f959f3, 0xf6b4fadb,
+    0x59423044, 0x15a08b63, 0x59740694, 0xdd918022, 0xa61bc013, 0xc65ea6ec, 0x84a23ddb, 0xae404c65,
+    0x8dd1f866, 0xc1814a87, 0xd8e75676, 0xd1502415, 0x70169304, 0x54b2d23c, 0x0c759bac, 0xcb36d35a,
+    0xf5b37129, 0x5a157068, 0x4bdf4655, 0xe925daea, 0x8c8c4571, 0x0e536ad5, 0x741cc3ab, 0x1192c313,
+    0x9cea4b17, 0xb9d713e7, 0x4f2b4e21, 0xab7a861c, 0x1c053742, 0x8cb96962, 0xc778bb8c, 0x990ad9cb,
+    0x60685c30, 0xb019f25f, 0x79cbab67, 0xe462643d, 0x4e580bd0, 0xff43b17d, 0x786c19b0, 0x01990eed,
+    0xc9c5d2a9, 0x8951b815, 0xb076493f, 0x6e708623, 0xc0f2edb9, 0xa8dc7f45, 0xd80cadce, 0xdbec8c5f,
+    0x126d7a65, 0x06941a74, 0x84d4b658, 0x710fc582, 0xe767ed1e, 0x76364851, 0x23278e8a, 0xb66cd63a,
+    0x4a15b66b, 0xe70e072a, 0x7c786585, 0x10fb12cd, 0x64e55f5a, 0x513d5fa2, 0x547156d5, 0x726864d5,
+    0xe28ee9d7, 0x056c4846, 0xadfd4e07, 0xac1e7bd7, 0x0ff959c6, 0x603cd330, 0x48c2d617, 0x393eedbf,
+    0x5f37446e, 0x07f6510b, 0x9c29a95a, 0x942c9c3f, 0x3a8d6df5, 0x95a8a267, 0x9095b0cd, 0x8aaafd17,
+    0xf012e283, 0xdbe42dbb, 0x3a20d916, 0x3bf44bb6, 0x803ca7c5, 0x4b5f458e, 0x2cb69cc6, 0x4e59a690,
+    0x85bf75d1, 0x57f95427, 0xa22ad1e7, 0x3ec42a38, 0xa37635dd, 0x600caa3a, 0xc9329437, 0xc1bc5861,
+    0x1692d124, 0x18b62019, 0x1d4423c5, 0x5e618bd4, 0x0b169636, 0x3499ce7b, 0xe7bd9ed2, 0x41b3baa3,
+    0xd90f27a2, 0x7ccd88bd, 0xc7664088, 0x25343c75, 0xa84ae3c6, 0xac2bc028, 0x26e5fc1f, 0xcef11dd4,
+    0x583b946c, 0x94a8afb4, 0x2fdc30ac, 0x0289cd83, 0x88ad6dc8, 0x833aaae4, 0x6ac959db, 0xc51c8682,
+    0x1729df14, 0x97ae0f41, 0xd42e8654, 0x0c7a8d40, 0x9571ab30, 0x7babe23a, 0xdf0d9001, 0x2d3615cc,
+    0xac8d28a0, 0xabbb46ca, 0x569ff459, 0x4efeb43f, 0xec0de4ed, 0x514f60e5, 0xf9d39c7b, 0x849b76a1,
+    0xcd78a68c, 0xaf81741a, 0x9644b6d3, 0x9c7c18d8, 0xc70b6528, 0xc151e0d4, 0x1ed2aa82, 0x3dbc8dcc,
+    0x8b4bd3b2, 0xff7e110e, 0xe44afb8f, 0x8aafa573, 0x7d3068b8, 0x97e9abea, 0xa39131e2, 0xd5beee29,
+    0xdf9f048a, 0xf7c2caac, 0xe0369067, 0xeb675a39, 0x8217c67b, 0x73d5ad05, 0x2a92e9c2, 0x9a7a9967,
+    0xf5313daa, 0xc6008ade, 0x192f6f76, 0x2d82cb2d, 0x4e9ee8f1, 0x33c4d20e, 0x2cb6c5d1, 0x2967717c,
+    0x5f9696d7, 0x74618e2d, 0xcd2c4bcc, 0xf757adf0, 0xd81a1855, 0x504806fc, 0xc280f673, 0xe45eb483,
+    0x13ae7fcc, 0x9e8620aa, 0x174ae37b, 0x7e584127, 0x4aca9d80, 0x91a32b06, 0xeeee95be, 0xb5e057d4,
+    0xd06b8866, 0xd7e749ba, 0x377f8f8f, 0xbf0b94ff, 0xa55e0339, 0x2f6fa5f6, 0x05227027, 0xd4039627,
+    0x7e6c06e8, 0xde9b472d, 0x71d95b00, 0x46891707, 0xe5ce4552, 0xe6484c80, 0x67c018a0, 0x479faaa8,
+    0x2a2a88d4, 0xde336f31, 0x460b9e9b, 0x738c757a, 0xb2cd0ca2, 0x8c2b858b, 0x7cf0c46a, 0xd8c19cc4,
+    0x179be1e1, 0x3d627b4f, 0xdc3ab93a, 0x3dca61db, 0x6501bf33, 0x0fc0a2e9, 0x5aeab24d, 0x671ebd1e,
+    0x5f92b6d3, 0xb5398e34, 0xf94dc28b, 0x1e2ab041, 0x3ce8db9a, 0xe01ccc8b, 0xb7fb0a9e, 0xb4c030da,
+    0x064169a4, 0xbf6a894f, 0x11b96541, 0x4f0c3cd3, 0x9f92821d, 0xdd67766d, 0x79a3c3e4, 0xd3bbc0d5,
+    0x3109d7ca, 0xa1f0c20b, 0xd4c96094, 0xb152aaa3, 0x5d094039, 0x5a581305, 0x015949d9, 0x04798d6e,
+    0x31a67018, 0x0258c6bc, 0xd11c360a, 0x10cb211e, 0x66114454, 0xba7ef996, 0xf76a09de, 0x2ec3e243,
+    0x9fde234f, 0xcf047b02, 0xba8901a1, 0x4d3980a7, 0x5b5eddb0, 0xa2af1a81, 0x96a8fff2, 0x299a5ae3,
+    0x6e3b8b6a, 0xef4efba8, 0x3c392a9f, 0xde35ceb0, 0x8b503c8b, 0x5ed403d0, 0x109b4d27, 0xa30ec99b,
+    0x2211c2b1, 0xa83cd9d2, 0xfb2955cc, 0xb7881aa3, 0x712c56a3, 0x58c36f20, 0xa2e680d3, 0x29947a1c,
+    0x5fe19ab5, 0xb95a3b4a, 0xd6e21ad3, 0x807b59bf, 0x916434f0, 0x4e4f1ef2, 0xb58e7ea9, 0x4cd628b4,
+    0xa191526d, 0x5154a6d4, 0xe1518bed, 0x1b0ac3d3, 0xaddd2576, 0x2b394161, 0xa207d60a, 0x8f0c5025,
+    0x1ec1f8c8, 0xdafa97a4, 0x44a654f4, 0x6c7b6405, 0x041d935a, 0x8709aa93, 0xa6b1eeef, 0xa50600bf,
+    0x41b8afe7, 0xeb2a5c9f, 0x8eb8c35b, 0x74b2b6cb, 0x4cd184d1, 0x687bf634, 0xa4df3068, 0x63aed923,
+    0x88bc8a61, 0x2099b57f, 0xae172769, 0xa37f43f4, 0x27535470, 0x7d0e9534, 0x13a46e6b, 0x6e01206c,
+    0x5ed84315, 0xf5379484, 0x25927443, 0x3e015e6b, 0x82eaf2c7, 0x4752ea07, 0xcb49d6f3, 0x361fd2ff,
+    0x4406bfa9, 0xe3fa6dcd, 0xf5ba8fe9, 0xa9ae6165, 0xb6175194, 0x6297f197, 0xf86f1819, 0x8fc71d11,
+    0x84c4876d, 0xf8a4be2f, 0x2e61b156, 0x0fac23b9, 0x75534325, 0x387c997f, 0x52981dc4, 0xb75f516e,
+    0xc264c679, 0xae61451b, 0xdfa0b9b0, 0xf5b98ed9, 0xa2603bea, 0x3aa2807d, 0x742ee4f6, 0x96dff287,
+    0x9e9b3ec8, 0x3dd67440, 0x928bf28c, 0x5402a5ef, 0xe8ec2f62, 0xf3815be6, 0xa359d63f, 0xfa634599,
+    0xe56460e7, 0x4c5722e1, 0x5bfefcdd, 0xa5bf407a, 0x1147f831, 0x32d2d3f9, 0xa527a3de, 0xcae1a96e,
+    0x796c8731, 0x455330be, 0x1ba06a2c, 0x0b9c6c04, 0x1f11b52d, 0x717b9b34, 0x98618d98, 0x0d6d906f,
+    0xd3442d3c, 0xafe1db14, 0x78ef3a1e, 0xe2c8e8c6, 0xbb300322, 0x41b9e4e1, 0xba83a5fd, 0xa6ff8d7d,
+    0x8e1254bb, 0xa86e1f91, 0x3e031f32, 0x06d3e47e, 0x590bb5ed, 0xe2bd391f, 0xe2dcaba1, 0x40bbc6a6,
+    0x2e971dd1, 0xb78bdbf8, 0x1dc9c3a9, 0xabe3f87f, 0x007e699c, 0xa254bd32, 0x59318db7, 0x551684b2,
+    0xb77016a2, 0xa17b950f, 0x2894fc23, 0x8294a7db, 0x0ba3f0af, 0x8fefc682, 0x01ab6a1b, 0xa35c6fc5,
+    0x91e147fb, 0xc7d131b6, 0x4bb01e6d, 0x4a834586, 0x547eb08e, 0x730b021d, 0x63966dd1, 0xd751ddbe,
+    0x60b826a4, 0x0140a219, 0x32b3ccab, 0xd5c73c77, 0x3a32eb89, 0xcda1fa0c, 0x4f6a4c5a, 0xf13d1be5,
+    0x7758a311, 0x383f9107, 0xc20444f8, 0x31ec8694, 0x896ab410, 0xda346622, 0x64a4fb1b, 0x0c4ae1b8,
+    0xdeb84a2c, 0xfa1b1386, 0x7d5a90b2, 0x7ed5e0b1, 0x1db15a89, 0x7bd0aefd, 0xb473fd12, 0xf644f1ef,
+    0x68324d88, 0x103d7a90, 0x1f9c8363, 0x82c18436, 0x7749b8f6, 0x8fc47494, 0xc3ef0c9d, 0x20fc0b53,
+    0x7f466882, 0x68955595, 0x7efa1635, 0x850ce07a, 0x9653c597, 0xcc4b6f5a, 0x8fa0cf45, 0x4ffbeb91,
+    0x8ec0c6b5, 0x594d6fba, 0x8d0ce01d, 0xc19c8aa0, 0xceb0fc6e, 0xb3a1534b, 0x33fb83c8, 0x35c7626f,
+    0x9230046a, 0x59ea3e01, 0x4c8b8723, 0x1c121c30, 0x7e8169f0, 0xc850d8a1, 0x3c346d28, 0xd5699834,
+    0x61d6673d, 0x799ed6fb, 0x1b43bd7d, 0xff991bd5, 0x0e3b2975, 0x0e8bcf4e, 0xc9fae847, 0xe36d9f36,
+    0xcfff3d78, 0x4fa104ae, 0xf3423896, 0x9c5c77d8, 0xd0a6713b, 0x59ea5c8b, 0xe866eda7, 0xf53196d9,
+    0xe4d2320d, 0x0a17641f, 0x88050d08, 0x9f263e02, 0xfe3a4a6c, 0xaa143d30, 0xc41af09a, 0x0e998307,
+    0x562dc8ca, 0xe80cfc35, 0x3ac6473e, 0x8d0bc4fe, 0x6348c308, 0x069d75cd, 0x87d62b1c, 0x5d24bd76,
+    0xa1116e6f, 0xfea8e6ac, 0x38aa51b9, 0xf0744f2a, 0x3fb4e534, 0xf6ebaca7, 0xd4d733d0, 0xc8b86418,
+    0x1c590343, 0x452f10c6, 0x65512056, 0x2b5a5e5a, 0x2d812120, 0x2871a0e3, 0x630b8e8d, 0xdfc07ac9,
+    0xe3725321, 0x63461b11, 0x52fb5431, 0x1c199244, 0x0a24ecef, 0x8c88fe5a, 0x46501cc5, 0xd30a80bf,
+    0xa308e205, 0xd2ecd47f, 0xa846c498, 0xfcd0c46f, 0xe08bfab5, 0x84b68400, 0x40bfaed8, 0xeb6fd23a,
+    0x10c82dd9, 0xc266d773, 0x87c6047a, 0x2feab752, 0x8d8f21fc, 0x9e81a3c0, 0x7f1af503, 0x4843642e,
+    0x6b8ef8b4, 0x3d442c66, 0xeba1f6ba, 0xa5a13b24, 0x3196f153, 0xfda75062, 0x5e1023cd, 0x7a52771f,
+    0x441c06e5, 0x4af16c14, 0xd999b5aa, 0x2705071f, 0x4c3a1ed1, 0xd0152e33, 0x64625554, 0xd04dea6c,
+    0xde6ebf27, 0xbb74cd2f, 0xbe9bcde1, 0xf4fb28ad, 0x0070180a, 0x915fcbfb, 0x160758c5, 0x4594d5f9,
+    0xa7af5c40, 0x8359b999, 0x99fd7331, 0xe470bf8b, 0x62c8d166, 0x55fda0f6, 0x6112e586, 0x6221c45f,
+    0xb35d0b0e, 0x7e058527, 0x0cd8fefc, 0x1e6366b6, 0x12fbedb3, 0x3bef7418, 0x23346e7e, 0x3a6964f9,
+    0x1d4f0dca, 0xced09839, 0x35ffae90, 0xc862f928, 0xb368c69f, 0x304a091c, 0xc2cdf7bb, 0x21dfcc61,
+    0xeba6aac5, 0x4f946d10, 0xdd671623, 0x1b27c5ea, 0xfa53c889, 0x20d61074, 0xa810303b, 0xac322fd2,
+    0xd1088a12, 0xfce120a4, 0x7ba185b4, 0x16b492d5, 0xf9e28028, 0x25586e5a, 0x87797c60, 0x53ab0af8,
+    0x042928c5, 0xd126bf4b, 0xf62802d5, 0x5507f676, 0xed97c0d3, 0xb47ce9db, 0x2b60cbbb, 0xcf0f9058,
+    0xff43727e, 0x7d8b6a58, 0xc8981816, 0xf9fca41c, 0x35a1a635, 0xcd3b3042, 0xaa14c1ee, 0x054514eb,
+    0xc0e40d58, 0x8d9b54b5, 0xfbd38303, 0x17a4efcf, 0xc98ae9f7, 0xa1323e5d, 0x71bc9963, 0x777a4ad2,
+    0xebb2beaf, 0x4efec884, 0x926e48af, 0x96896ff3, 0xe0cea6e3, 0xfcd1b0f8, 0x3f59e865, 0x5157bbd8,
+    0xcc15c834, 0x96fd6d89, 0x9c004087, 0xe7dd4524, 0xe77eae98, 0x1ba52eed, 0xc0880dfb, 0xb2e8c5f9,
+    0xb2490925, 0xbc3ce4d9, 0x13127229, 0x2c3197d9, 0x667bee63, 0xd9c34fd9, 0x5a5b93de, 0x59d6a9b9,
+    0x3d09c8d1, 0x4b79f849, 0xe71d512b, 0x156726ec, 0x1c6bbadc, 0x4021e69b, 0x5826cf09, 0xd68620ba,
+    0x2b2a2873, 0xb815f2e7, 0x88975c87, 0x927028b3, 0x87238a45, 0xfc24be65, 0xd34bf4b2, 0x62c1017c,
+    0xa80ee76b, 0x39c92a68, 0xcccdeaba, 0x4a3d7a71, 0x14987356, 0x8fe7ce77, 0xd9706b9e, 0x1c9c146a,
+    0xa7686ffb, 0x0f1f6ac6, 0xd3087f32, 0x55be5561, 0x14a27e69, 0x4ad9d2f0, 0x2223092e, 0xd07d0fa5,
+    0x540bdefa, 0x96002f38, 0x62d0f901, 0x672563e3, 0x9bdb9ed0, 0x0ad72587, 0xf3d67860, 0x953717ba,
+    0x954983a7, 0xdbbebc1f, 0x0be2248a, 0xbb9ba295, 0x77913158, 0x4c4007d5, 0x7e7d56dc, 0xbd7c5fa9,
+    0xe9cf9804, 0x2b958b20, 0x0cd33524, 0x687ba885, 0xc3c48d84, 0xcbde9b21, 0x27d6371a, 0xa0deb4d7,
+    0xf81a239e, 0x1aa8637d, 0x7c5cd19a, 0xcb60d819, 0xcac44fe6, 0x1e931f8c, 0x1be6fd45, 0x22df6691,
+    0xfe08307e, 0x6624fbca, 0x8174f36a, 0x42477966, 0x3ee767af, 0x2ace4701, 0x36da2b28, 0x16a0291b,
+    0x72ef3cb0, 0x254c1d18, 0xd31a017e, 0xee5cd346, 0xfb9091d7, 0xc7034dde, 0x8b2beee1, 0xafa8f966,
+    0x9b5dcc7e, 0xe9cfdead, 0xe7384f77, 0xbd329068, 0x092547db, 0x80fc619f, 0xad36afa7, 0x17c53479,
+    0xdd190ed0, 0xe81df489, 0x186f3e18, 0xa7190638, 0xbd1218d2, 0x6c54fdfc, 0xb743c4f7, 0xf748b868,
+    0x70910468, 0x06e7ec9a, 0x08108775, 0x44c563b4, 0xf2877270, 0x8ed4ffc9, 0xbba29079, 0xd2eb6647,
+    0x6245b593, 0xb4ebb38e, 0x8ef3e45a, 0x87513726, 0x382c5692, 0xe7f3f9f3, 0x717ecde5, 0x8f22b1df,
+    0x0da70e88, 0x8521b7c0, 0xe3c75b66, 0x042217f0, 0xe833ea8d, 0xed68f18a, 0x8f577f6d, 0x51e9981f,
+    0xeee9840a, 0x3ce3ec66, 0x9d5a2164, 0x023f679d, 0xed087cfa, 0x572010bc, 0x787d2df2, 0xfc489d56,
+    0x1b5d371e, 0xc6f050b9, 0xf5eae7b4, 0xf3856430, 0x7b1bc408, 0x6a65c65e, 0x2ffa5cc8, 0x5f217ab0,
+    0xff36cfbb, 0xfbaf19eb, 0xb4c1a44c, 0x5aababee, 0xf2289385, 0x41d62126, 0x630ff2b5, 0x3792bc13,
+    0x4883d870, 0x98fd7274, 0x6e7a092d, 0x92e48d06, 0x5345e65c, 0x1b81d1cd, 0x3e60db87, 0x683992ab,
+    0x7c1990f2, 0xe52d0b04, 0x5f7ae632, 0xd1ae6e97, 0x47399d42, 0x4bfe38b6, 0x1eba21dc, 0xce7283d0,
+    0xc264bd06, 0xc77951d7, 0x571eec71, 0xac85e875, 0x992e358f, 0x68a675b3, 0xb65cbccb, 0x858c4560,
+    0xb74fb61f, 0xb33ba591, 0x363d806e, 0xf0531f32, 0x6d019783, 0x64684b3a, 0x334d7a81, 0xb82a1134,
+    0x00000000,
+    0xe56cb0f5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000134217728 */
+  { 0x00000000,
+    0x741e230e, 0x57214a1e, 0xa258c202, 0xb92924c0, 0xb77283fd, 0xe7ad7913, 0xb54af227, 0x6d0c0638,
+    0xe5ca08b4, 0xe557b21f, 0xbb346ec6, 0x901e8abe, 0x8afddb08, 0x32eb829e, 0x153078a2, 0x71ea48b9,
+    0x0f65681f, 0x48b61cd1, 0x18127e55, 0xe503f9ae, 0xa05640ad, 0xc675b24c, 0xdf2cf632, 0xd7c9caac,
+    0x899d36d7, 0x341dde7a, 0x2b26489b, 0xe26dcda1, 0x55958cbc, 0x0fdab685, 0xaacb43ea, 0x1d18c084,
+    0xeb4b61c0, 0x0af1095f, 0xe837b65e, 0x95367598, 0xad12baf3, 0x3c948dd6, 0x52b410e5, 0xb8667032,
+    0x37a1106f, 0xcf3cabe4, 0x27affa1b, 0x038bb202, 0x6ab7dcb2, 0x8eecc042, 0x9386d40c, 0xd413f6d7,
+    0x1e4e0a4c, 0xdcb8c86a, 0x834fe0e5, 0x434d1bbd, 0xae42c001, 0x02f8ede0, 0x01d3e3d8, 0xc64a979b,
+    0x6ecaaf35, 0xbeb1cd0d, 0x66b2362f, 0x7b6b849d, 0xeea8fb5a, 0xd0b1313c, 0xeac72947, 0x3ce45086,
+    0x49c0f350, 0x033578e1, 0x93751f90, 0xb7361c29, 0xe9a1961e, 0x41f81090, 0x1fb7256a, 0xd99723ef,
+    0x6eabc382, 0x29540db2, 0x132c179d, 0x53179a44, 0x3fabf0c7, 0x7d07a3ce, 0x637e9239, 0xc35180e0,
+    0x17150e34, 0xd00da307, 0x3a29e6d8, 0x51f602b8, 0xdc54b66b, 0x9baf43c3, 0xbeb1dd28, 0x7ac2bd54,
+    0x2efc0f8b, 0x7c706a8e, 0xa0b62d4a, 0x42e9cd9c, 0x72b86576, 0x955b1d08, 0x95276bd9, 0x8337818f,
+    0x317ad95f, 0xf777b3f5, 0xaef64d2c, 0xa770817a, 0x90466f8b, 0xdcab7f5b, 0xcd42af95, 0x9030422a,
+    0x5b460fe6, 0xeb69dede, 0x48262f43, 0xd693f343, 0x4b552d33, 0x3c4486ce, 0xca2b94a0, 0x3faf54eb,
+    0x2aaf8d71, 0x1a131c6e, 0x50017bfd, 0xd46649c3, 0x1b3f7ede, 0x57ce21c5, 0xd913bca2, 0xdf78a3a0,
+    0xc31df5c8, 0x7c1cd72b, 0x9be4e547, 0x4b9ec1db, 0xb1755234, 0xbb2fdc9c, 0x61a83190, 0xd9555264,
+    0xda2584a8, 0xfa82bc9f, 0xc61c87b5, 0xdc29f95b, 0x8b002536, 0xea800760, 0x0224f1f4, 0x6779312d,
+    0xd6f68f91, 0x737e91f7, 0x9cce3bd5, 0xdbfa008d, 0x2bf8458a, 0x8731ac94, 0x8ba99834, 0xa318751e,
+    0x74df4912, 0xa1e5f3b6, 0xeda5c019, 0xf0f85ef8, 0x61a23ebd, 0xc021921d, 0x360c0ac6, 0xbc317a33,
+    0x115a6bbc, 0xf525c26d, 0x23559d6b, 0x32c0c6f4, 0xe3daba9e, 0x0c38f0e3, 0x3c3ae775, 0x68be324b,
+    0x7d68c60a, 0x34825fff, 0x2654a867, 0xbd1d95a3, 0x2add35e1, 0xe1ff2227, 0xe0855656, 0xce4da407,
+    0x2483a257, 0xbd9c6a26, 0xf74cc986, 0x80da5b02, 0x8041a9e7, 0xf29456ba, 0xc949e097, 0x4824eeb4,
+    0x20d17490, 0xe9cdbb3d, 0xb390a1ee, 0x2ba5c18e, 0xf63e3a39, 0xb9aac914, 0xb226d3e6, 0xaf5d0dfa,
+    0x3e7cacfa, 0x081f97c3, 0xe671ea09, 0x746c2862, 0x84b09d00, 0x78b3ea74, 0xa70f2bd6, 0x34dbde7c,
+    0x52d2346d, 0x4bb38fa9, 0x847a28a8, 0x9982b752, 0xe71eebc7, 0xde28eace, 0xf46227b1, 0x754a6cd7,
+    0x95f61169, 0xf1aca718, 0x32fa7613, 0x0199a894, 0x3a825a81, 0x69c7a7cb, 0x00530262, 0xd4630bfe,
+    0x4636b40e, 0x0a2bf934, 0x8fa0ed6b, 0x9ea50601, 0x7fff0dcd, 0xc0de0027, 0xfda31037, 0x8c72a130,
+    0x0879238f, 0x6828d74c, 0xa77286e0, 0x16875ce6, 0xaf6c7874, 0x2f71ad3f, 0xe0b7ccde, 0xa5cee1c7,
+    0x624e25b9, 0x13c4922b, 0x3c908576, 0x66224428, 0x2985f2f9, 0x6aac16a5, 0x575e3c3a, 0x4d80bc03,
+    0x5c443805, 0x59495f5a, 0xe6113802, 0x3fec303e, 0xccdfdfc6, 0xe0d68b3a, 0xc76b2250, 0x665fc324,
+    0xad9576b2, 0x97964c52, 0x7784c7b9, 0x0bd9c354, 0x225c134e, 0x13ed01b9, 0x8bf656a8, 0x2696abe5,
+    0x965fb55b, 0xa1fbbc5b, 0x51ecc833, 0x3012d04a, 0x1d4c494f, 0xdb52f60f, 0x2b6e8d89, 0x86203422,
+    0x99cf6956, 0x9b80243b, 0x28776440, 0x39e07ea9, 0xdd38b57f, 0xc8f4e643, 0x51c3e440, 0x61c426e6,
+    0xe130f84b, 0xbb461923, 0x0b648322, 0x9ac5779d, 0x6b1ca96f, 0x4e7e346b, 0xe085e1a3, 0x4debe9ef,
+    0xa70a966e, 0x485e6f85, 0xca51054a, 0x621c6c90, 0x427a3ab7, 0x7dd4291a, 0x73d93856, 0x0319c12b,
+    0x1a01e10e, 0x43dc558b, 0x3b5830b2, 0x2ae0b15a, 0x3a90df1e, 0x55e863c5, 0x5eeca3f3, 0xa905ca74,
+    0x54fce504, 0x1a06c9e7, 0xaef51d84, 0xb914a2be, 0x6b816897, 0xc2584331, 0xa4c24daa, 0xf42d01d5,
+    0xfbbf4858, 0xe8a2310e, 0x70b9a9aa, 0x83ea96aa, 0x4f4406f0, 0x7379ef0a, 0x163fd0f1, 0xe8947f78,
+    0x728d8025, 0x6e221b8c, 0x7a3995c0, 0x86e8b537, 0x7088d06b, 0x18c64f2e, 0xcdecefe6, 0xb1d260b6,
+    0x8ae6aa99, 0xf01d28bf, 0x91354aa3, 0xec1cc49b, 0x93307630, 0xe307fc6e, 0xc2f9516c, 0x29b7901d,
+    0x901e3ee8, 0x83b5c4eb, 0xc907d820, 0xfb4c346d, 0x95522125, 0x822c3a1a, 0x752e87e6, 0x9dba2da2,
+    0xbfe0aefa, 0xf68a7881, 0xfdd77cc6, 0x66a63f15, 0xed890c40, 0x62b098a0, 0x59403104, 0x1f44c66a,
+    0x21053dd2, 0xae3b9191, 0xdbbc9228, 0x9a855309, 0x95587314, 0xe955a7d6, 0x9d9295d4, 0xb2b1faf6,
+    0xe1b9da2e, 0x2add6eef, 0x110173dc, 0x6f4214ef, 0x0718d435, 0x88eccf52, 0x07a37ca5, 0xa31a5862,
+    0x1c1494b7, 0xa2179c77, 0xd84a2efd, 0x593c9a0a, 0x9835b66d, 0xb2d8ae87, 0x9fb45e3f, 0x1c37f0f1,
+    0x3ce7d355, 0xde05b61e, 0x0bcabb06, 0x0a786b39, 0xc4d773c1, 0x24f14966, 0xa23f8eb1, 0x5916f8c3,
+    0x941bc89c, 0x03a84618, 0xcdaba4c7, 0xbfedab2e, 0x476244de, 0x8912752f, 0xdfe0a478, 0x02ef5422,
+    0xe742f839, 0xafa33e9e, 0x45ff80f8, 0x692105ea, 0xb9f8ec80, 0x98b23c3c, 0xdef0318d, 0xda718387,
+    0x2e5665d0, 0xbbcb62ba, 0x1f1b92f2, 0xe58d36b8, 0x51dcdd2d, 0xf9e0db43, 0x87260967, 0x09a62095,
+    0xbf403fd3, 0x9f816203, 0x9b135282, 0x124459c7, 0x6324ea53, 0xe1a7018a, 0x0c1be3a4, 0xa79b479f,
+    0x0dfd515a, 0xd01b0f7d, 0xf1bd50ad, 0x983a0d14, 0x537385e0, 0xc22312de, 0x280e1059, 0x0ac1cc68,
+    0x09661406, 0x4243b002, 0x0ce153c2, 0xc4fdd8da, 0x1d5cc5e0, 0x11bc0f1b, 0xb21e8013, 0xa0070c25,
+    0x0ab71ba0, 0x78ccae51, 0x0fff982e, 0xcd3ff202, 0xcc70186c, 0x5c9ab49b, 0x95b77b74, 0xf0ce6fea,
+    0x0b3cffaf, 0x967714fe, 0x3dad8dae, 0xd82edda3, 0x9e5b9f35, 0x2d0e10e0, 0x4ab80a43, 0x7ed51c15,
+    0x6cda6fcc, 0xb2fc7a27, 0xe17b4ff6, 0x11425432, 0x8429afde, 0x2d4eddcb, 0x174b7eca, 0x5d5fff0c,
+    0xddb55d3c, 0x51942c27, 0xe9b63a07, 0x66e11bf3, 0xcfebddeb, 0x538c0feb, 0x668909f0, 0xa4d71802,
+    0xa72b00c7, 0xc26107cc, 0xefc3a902, 0xcd0145dd, 0x67bc411e, 0x4497b7d3, 0x1be8bb2e, 0x4d770ed4,
+    0x9b1a6eab, 0x7b6428e0, 0x9ddc9fa4, 0x87a8cc57, 0x7d52389e, 0xe01b9354, 0xccb95c03, 0x429730d9,
+    0xeb1e3ba4, 0xa332a67b, 0x93d3c208, 0x8c8adf2f, 0x44f08303, 0xba99075d, 0x5baba899, 0x89aaebe7,
+    0x49b2bcca, 0x0457a59d, 0xe10abf4e, 0x444b2b15, 0x417a3a80, 0x823fabd1, 0x798f1607, 0x5605ed10,
+    0x4167dcbb, 0x3a67c526, 0x5bd33500, 0x40dbed42, 0x9864b9ca, 0x88388d1b, 0xa0f53be1, 0x2a1af6ef,
+    0xe2600fc4, 0xcb21701d, 0xb8812db1, 0x4b3ceb6f, 0x3e66d399, 0xbe2db7c4, 0x3794153b, 0xf5af24ba,
+    0x8545dc44, 0x308a424a, 0xc83c76ba, 0x881cf739, 0x96e185af, 0x2f07fc52, 0x52279a8c, 0x141e7520,
+    0xcacf6060, 0x615d17d7, 0x432bc452, 0x0724badd, 0x3523b716, 0x120adfb6, 0xa75e6792, 0x9f0d5dfb,
+    0xe4a79aa0, 0xea65c0ca, 0x34eaf871, 0xa0fde9b2, 0x2c096fa1, 0xe2aa08f2, 0x771428d6, 0x8eecf9cf,
+    0x4b280161, 0xdbfee54e, 0x91658b63, 0xc368c0cc, 0x3d136b8b, 0x9a96bac3, 0x195b0a53, 0x7e8b0072,
+    0x8cd0e875, 0x747f5f2f, 0xa6870452, 0xc2020cd6, 0x43fe75e5, 0x1d2a7142, 0x773bb7a3, 0x15f3dbd8,
+    0xdce58300, 0x49a0dd6b, 0xebd96541, 0xf2d1cfca, 0xec5febf3, 0x29cdaab6, 0x93f55b49, 0x2f583f5d,
+    0x118e2326, 0x04403379, 0x7971ad0e, 0x0066adfd, 0x52d53e35, 0xcfd29a6a, 0x026a2497, 0x35695837,
+    0x22955fac, 0x72afff5e, 0x4fcaa51c, 0x23e7ec66, 0xdaea7c5e, 0x89c9ac05, 0xd87d7656, 0x7d4451f8,
+    0x1d40d8f0, 0x23fb857c, 0xb5a721fc, 0x1b041746, 0x3f882a56, 0xbc2614fe, 0x42af5837, 0x1674cff3,
+    0xc1bd326a, 0x65172401, 0xdff8d9e6, 0xb7a00bb8, 0x4e4cf5de, 0xc462c319, 0xc21c5c50, 0x602afae9,
+    0xc399db75, 0xa13a3070, 0x1331fdfd, 0xe3f06f17, 0xccfcbda0, 0x66a8336a, 0xaa8f4f00, 0x46a2b1f2,
+    0x2b6ce069, 0x320d790d, 0x880d14dc, 0x3708b846, 0xb815ad2d, 0xdbe22546, 0x1dc75ea3, 0x61b3af12,
+    0x5233b3d8, 0x2c862c58, 0x20e84544, 0x7915c14f, 0xc229e336, 0x7e4223b2, 0x8dad878b, 0xf1a3be3c,
+    0xb54f6a90, 0x06f3fd1c, 0xa20acad7, 0x65e8fb48, 0x10817be3, 0x4466b699, 0x322cc373, 0x175dccf8,
+    0x5a17923b, 0x75393506, 0x483b78b5, 0xda7f640a, 0xadbc1abe, 0xdc6cdc94, 0x6e24ea5f, 0x2ff96ea1,
+    0xcb0003a6, 0x842111e7, 0x7ee23d86, 0xb0705de8, 0x01be74ad, 0x98ff1834, 0x38101e63, 0xcf59aa87,
+    0x55f72657, 0xcc01141b, 0x9fbe548f, 0x67c2bf89, 0x6af224eb, 0x998fd53a, 0x0bffe30a, 0xa02d25d5,
+    0x7440497c, 0x13f6550e, 0xe679a1b4, 0x44d4d082, 0xfe15c9a1, 0x214d870f, 0x63af6b74, 0x86ff0efd,
+    0x4584b44e, 0x4a1f7c59, 0x61c8c0bc, 0x6b723067, 0xd10a01eb, 0xfb7abc44, 0x2a94fd4a, 0x2d301265,
+    0x9abab0fe, 0x464270c7, 0x5620e582, 0x6f1da1fb, 0x6763a1c0, 0x6d4cc64d, 0x5ba43760, 0x211c21ea,
+    0x4dd93c72, 0x607108c3, 0x12a3378a, 0x64f6233b, 0xc991ccea, 0xc61e7778, 0x26f34a9c, 0x59bedd01,
+    0xc463db90, 0x367adf76, 0x00da96fe, 0xac2f6eb3, 0x8c3ce134, 0x616beb66, 0xdd8cc914, 0xdf684874,
+    0x9c936aa4, 0xe9bef06f, 0x8396fe90, 0x1c305646, 0x6905d38e, 0xe00efa70, 0xb0267fe1, 0x3bc91f70,
+    0xd9e9223b, 0x821b9ac7, 0xeb3321e5, 0xcfa29c54, 0xc51033fa, 0xb4d859f5, 0x3f03e5ec, 0x5476b175,
+    0x24c36b75, 0x442f6433, 0xfcced081, 0xf0f51423, 0x1d5a77ba, 0xdbf3c4f9, 0x28807d6f, 0xc5779fc7,
+    0x7fc730cd, 0x50a8b7f0, 0xdbd6db5b, 0x6b64eb13, 0x4e8e057a, 0x15886754, 0x1ab2dc39, 0xdd166808,
+    0xa09da61f, 0x01e51d85, 0xe0963929, 0x18ee6353, 0x385c4cd9, 0x8c3ea19f, 0x349f0ca5, 0xb55088c8,
+    0xd72c6246, 0x0eac9eff, 0xdc8ae791, 0x4578e4da, 0x42429980, 0x1c2e44cf, 0xfecbd85d, 0x9a453020,
+    0x0c610902, 0x3a597d50, 0xb9f7b4f9, 0xb9814a39, 0xd54c0526, 0xddd085f1, 0xecdc2fa6, 0x5feeed3f,
+    0x98676ce6, 0x1d1b7f88, 0x912172d4, 0x80b23e9d, 0x4ae35758, 0x7996c9d4, 0xd9073378, 0xb57826bd,
+    0xd5937ad4, 0x7f848fbe, 0x4478ab0d, 0xa653fe36, 0x69df8fd4, 0x94912892, 0x5dc949e5, 0x83a5de39,
+    0xaafdecc4, 0xf93feb18, 0xa4b5a350, 0xee164ba0, 0x33b973ed, 0xc606f43a, 0x94b63b67, 0x86a71548,
+    0xa3f7fd5c, 0xdf8600c4, 0x31e246e8, 0x867dd229, 0x5089120f, 0xf84a63c7, 0x39f6ad2a, 0xdfad2d20,
+    0xd9c09417, 0xcfbcf859, 0x54404fb9, 0xfc3ce08f, 0x8866059e, 0x19ce7d8f, 0x69f83265, 0x79c17818,
+    0xc5eda0e6, 0x2002ad13, 0x9695acb6, 0x0b5de440, 0x336f4716, 0x9637eca4, 0xb9edf449, 0x5b8759a8,
+    0x709754cc, 0x03d25afd, 0x317cb36d, 0x91ef6298, 0xab3333c7, 0x9c7d082b, 0x50a707f1, 0xa0432297,
+    0xb8b0b9d2, 0x26b1c5d7, 0x73800f2b, 0xc78cbeaa, 0x3677f835, 0x9c464b17, 0x415eb737, 0x64d7e25d,
+    0x23b23831, 0xd9ab2797, 0x4fafc814, 0x321287b8, 0xb26a1161, 0x4be45400, 0xa59f7bc8, 0xe1927a01,
+    0x668c087d, 0x8e86c0fe, 0x5b8a7be0, 0x3f0491f5, 0xbecf2a89, 0xbfddfa2b, 0x9e6f1572, 0x5e062c43,
+    0xf84f9fbd, 0x78fb3dd3, 0x6f3eb530, 0x66ba7ccf, 0xfc169be0, 0xb78810f1, 0x2a17dd72, 0x6fdf81ec,
+    0x0c01931a, 0x1c197049, 0xe9c87348, 0x94c878ff, 0x2e5537ae, 0x68ddd8b2, 0xfd75e6c3, 0x571e0798,
+    0xe9542808, 0x5ad03bf0, 0x560ce4bc, 0x9c4f2c01, 0x9c46aaef, 0xfb27974a, 0x95a6d242, 0xc805aa8a,
+    0x486049b3, 0xdaad348d, 0xa9d5e317, 0x17e17ec8, 0xb61c0647, 0xe77c5e55, 0xf267281a, 0x6c56bf7e,
+    0xeeb45e35, 0x4eb1cf6c, 0x1b73459b, 0x4a264299, 0xd5b9a07f, 0xbbc004d9, 0xc934cf80, 0x136ca033,
+    0x2392badc, 0x8b331a3a, 0xfd386818, 0x12af76aa, 0xd4e018bf, 0x3f693992, 0x7038c6a5, 0xcc4661aa,
+    0xdcb5a15b, 0x52c783f6, 0x39dfe692, 0x749f0610, 0xff11f013, 0xb4331655, 0x10e865b6, 0xb2dd2a25,
+    0x91df9fd5, 0x3c825d5d, 0xaeeaad3c, 0xa1f3b3a4, 0x27923783, 0xd0425a85, 0x506b186e, 0xe6bc541f,
+    0xbfaf33ed, 0x764effd8, 0x2c0ee688, 0xf032d572, 0x91d9592f, 0x70a9e109, 0x5ad35071, 0xadf515f0,
+    0x98904838, 0x5283bccf, 0x4f6688bc, 0xe75e5fb1, 0x47422af1, 0x497ecc1b, 0xaa8a1d60, 0x21f4fcdb,
+    0x0720b4c1, 0xaada13da, 0xb2533b8d, 0x8884bed0, 0x68bfad82, 0x2ed89754, 0x7f4fb999, 0xbf935194,
+    0x55dd802f, 0x02b0ede8, 0xad36d58e, 0xe8957ae0, 0x11c541a2, 0xf6415eb3, 0xcd624b92, 0x30736634,
+    0xf8d7a8ec, 0xe7b9031f, 0xd1390f71, 0x67e27880, 0x0d5549f2, 0x437adb44, 0x8e2052e7, 0xa0e0feda,
+    0x2ceb8aa1, 0x0fee5090, 0xd50f8c05, 0x458b176f, 0x3574a86e, 0x3f034fa7, 0xa6d257c6, 0x971910c3,
+    0x95b45f61, 0x66551944, 0x2fab2e0e, 0xe70220f9, 0xcb58248f, 0x79111762, 0x38e75ae3, 0x13699a9f,
+    0xb32c5229, 0x00d18616, 0x2fd5f20e, 0x1ce40e7c, 0xe0fdc5d5, 0x4dac911d, 0x192252f7, 0xb5015865,
+    0xb11b25a7, 0xb55fb11a, 0xaa046181, 0x86a49448, 0xf390d65c, 0x620a52bc, 0x0b35b16b, 0x7f18a5c9,
+    0x6411c66b, 0x0b83f9df, 0xdc319c05, 0x07c174f2, 0x3afba242, 0xa90f55ac, 0x2b2bb0ae, 0x3c260dfb,
+    0x9853cb79, 0x04c9662c, 0x6ee636ff, 0x202a43b8, 0x0fe2e179, 0x05406834, 0x7273b717, 0x9f57d661,
+    0x5eb06998, 0xf5164b12, 0xf7201c2b, 0xd7f8d7fd, 0xae61c1f7, 0x072757ab, 0x48bc9a6b, 0x44fe62fe,
+    0x41e86692, 0x2a6c3bcc, 0xb7b28369, 0x18377876, 0x128ca622, 0xde629120, 0xa287b990, 0xd8a91701,
+    0xdd48fc22, 0x584e037d, 0x0e7fa81d, 0x86bf73ec, 0x677ba762, 0x426d02d6, 0xc347796a, 0xb5613be9,
+    0x8fc57d27, 0xbee3f34c, 0x92afd6ba, 0x639410d9, 0x5da88352, 0xcd9fd8a2, 0xb468f2f6, 0x001ad7a0,
+    0xd08769da, 0x649886e7, 0x0ed6f194, 0xde9a1f30, 0xdffd7b99, 0x4f520c84, 0x908e8223, 0xb2d4fdbe,
+    0x2a77f1bb, 0xc678f594, 0x0efe214e, 0xf82ce629, 0x85047278, 0xb927999a, 0xac15477e, 0x9988fdbc,
+    0x00000000,
+    0xf2b6587a, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000067108864 */
+  { 0x00000000,
+    0x73c56958, 0x5302ab85, 0x1d81715b, 0xcc186c02, 0xd8b618d1, 0x29cd2b2a, 0x9e7c985b, 0xc4b08fb4,
+    0x3d834107, 0x23dae9fb, 0xf93dbaf0, 0xe6809c3d, 0x643f1b3b, 0xd885509c, 0xf7db54ea, 0xef05f522,
+    0xf6e5ed9c, 0xe6419f29, 0x3f329169, 0xa901bf9c, 0xb644bcc8, 0xf45c5cf0, 0x16baf34d, 0x1d139f68,
+    0xb921209a, 0x3d4b0440, 0x10b04d7c, 0xa1e4aebc, 0x322905b6, 0x8c87e17b, 0x577fb3f6, 0xb21edd96,
+    0xe6dfa2c5, 0xbe2be5cf, 0x13eda077, 0xfe2dfcf6, 0x89cbcf9b, 0xded51b0a, 0x7f77f168, 0x242eb49a,
+    0xe95fff21, 0x56162d86, 0xa6054503, 0x03fcff94, 0x328f5c6c, 0xb5dde1b1, 0x3e830493, 0x41a772d6,
+    0xfbf3e932, 0x3edcaeac, 0xe097348b, 0x9e2bf91e, 0xafb4d413, 0x1a6657b0, 0x05f95096, 0x7e86bc1b,
+    0x801c126c, 0x6b831745, 0xec1609ad, 0x4de43c2c, 0x630bc85f, 0x784a8d30, 0x7ea1d679, 0x238b96da,
+    0x2b8e4895, 0xcbd1cc82, 0x05f6fc88, 0x51b01ecd, 0x85f510ca, 0x820411e1, 0xb8240141, 0xe6ba9bd9,
+    0xf0683ffc, 0x9d96fcc6, 0x946a3b1c, 0xde71ff9a, 0x1414e6a2, 0x53868c81, 0xe1a74105, 0xd5802a8f,
+    0xb8c4439a, 0xe24100c0, 0x93d7f678, 0xdfeb2001, 0x31bcaa55, 0x44f8edca, 0x61b6efe1, 0x51945448,
+    0x0e65f215, 0x9b958262, 0xdab7df13, 0x6b41af9e, 0x7894e89b, 0xd0a0ecf3, 0x705abe0c, 0x209af08b,
+    0xec3dbd2c, 0xa071d533, 0xe842f9e7, 0x3b9be69f, 0x71da5001, 0x64fa9825, 0x460daf02, 0xf027c768,
+    0x8596edba, 0x1f0c16a2, 0x3590cd1d, 0x8ef95373, 0x300b6ecb, 0x1436cc39, 0xeed1258e, 0x76c530cb,
+    0x57046cec, 0x5394a66d, 0x112d6cdc, 0x8572f608, 0xc831fbcf, 0xef2130fa, 0xc7d4903c, 0x1c2671c7,
+    0x35284b4f, 0xe0a66ff0, 0x9bde417b, 0x549dede2, 0x9657740a, 0xb9983cd7, 0x6b2ed7dd, 0xeda463ce,
+    0x27d73965, 0x3b00e315, 0x9ae64a7e, 0xf45f30f1, 0x01fc2466, 0xef414f73, 0x5829c521, 0xd76f2c03,
+    0x05aa1320, 0x97d84182, 0x4820a44e, 0x9547c491, 0x7b8f4884, 0xf8c8fb29, 0xaed7be6a, 0xdc69962b,
+    0x009215cb, 0x58a67ef5, 0x9a160000, 0x2452eb88, 0x0825f94f, 0xcfbe95da, 0x6fb39412, 0x27eae796,
+    0xe219fd80, 0x8121f8c7, 0xa616cb6b, 0x89c0ea99, 0xf9f85dea, 0xf0a33731, 0xd1ee16c0, 0xe7785c8d,
+    0x959d52fe, 0x59311b6e, 0x64b994c9, 0xb857047a, 0x2ad8c79b, 0x1a455977, 0x5fc7c630, 0x2f65b1cd,
+    0x908ae567, 0xae746aba, 0xaa741a04, 0xb0f1c32b, 0x0cfc28e7, 0x54ad0af8, 0xe5452d5c, 0x927b79cd,
+    0x037714e9, 0x743b112f, 0x39366637, 0x70acd4cb, 0x97b53150, 0x5f8eb732, 0x1ed86814, 0xe57a5af6,
+    0x39214bb1, 0x62a69d61, 0x7d68d7fe, 0xc65fbdbc, 0x342bd03f, 0xd5eaeab2, 0x9546f979, 0x23619890,
+    0x15a6da59, 0xeddb8dce, 0xc4cce911, 0x4861da78, 0x6046f6e0, 0x58489472, 0xd42726bd, 0x23a08b46,
+    0x46cdbbcd, 0xa64773b8, 0x9b6768b9, 0x95a09e8a, 0x4e7c4eb3, 0x09c4d05e, 0x7ea39f98, 0x8f0cc1f2,
+    0xcc9b848f, 0x52a98383, 0xd72ce4f5, 0x5820ad35, 0xd1c38e8e, 0x2b9a9284, 0x29cf210c, 0x90e849cf,
+    0x5c5c0435, 0x50b129a6, 0x81c1d6fb, 0xe21e1bc8, 0xa7b7feaf, 0x791f810d, 0x51a2aad4, 0x7c8016b3,
+    0x746ca009, 0x54c911d6, 0x278569c0, 0x6d82bf83, 0xc3031b52, 0xbb7a6b01, 0x8c6aa334, 0x7410bbe5,
+    0x5bf63bb0, 0x69e89b59, 0xbf10b38a, 0x061412f3, 0x1c3c1751, 0x7726ba71, 0xada590c3, 0x1e8e1f06,
+    0x85669cda, 0x25a2fdda, 0x387564e2, 0xa9c402bd, 0x8341863f, 0x6812b305, 0x02ac9705, 0xacb47994,
+    0x33174170, 0x81a60b8c, 0xb9e7bd69, 0x71ced1ba, 0x3246d107, 0x4f539e49, 0x79c55b43, 0x60166e3c,
+    0xecde75ff, 0x07945a33, 0x4c4c5b30, 0xb253b379, 0xb5b946a1, 0x6c504319, 0x6b23ead1, 0x21c4dcf8,
+    0x12c6161d, 0xa76f64f2, 0x93ae3b80, 0x69214e41, 0x720322af, 0x7bf23e14, 0x1d6bc25a, 0x22697a68,
+    0xaa612253, 0x8502d480, 0x35112171, 0xeae8138c, 0x07ce7c00, 0x2153ab18, 0x627efc4d, 0x1f660f5b,
+    0x5c598246, 0x0d64d088, 0x321adc22, 0xc2f7c341, 0x5bd2ce67, 0x92d35a6c, 0xb9d731f5, 0x11b2d0c5,
+    0x89c3efec, 0x9951942b, 0x54ef7359, 0x61dc902a, 0xfd3133fe, 0x295d9c6e, 0x25eba809, 0xb6e4f824,
+    0xace487cb, 0x9df5c1a8, 0xd88e5f3e, 0x2babec1b, 0x9612c43f, 0xcb96018c, 0x6e3a39a2, 0x47f3d291,
+    0x68cf1c1e, 0xc1df2b05, 0x8039f7fd, 0x9a3b4ed4, 0x45c72cda, 0xf422798c, 0x20631129, 0x47105e9e,
+    0xd5274806, 0x54aa596a, 0xffb5f09c, 0x7c2ad213, 0xab37ef48, 0x27042a0b, 0x22bf2dd7, 0xb134e8c4,
+    0xf1a2653f, 0xe3bcf671, 0xf158e7b9, 0xc78adc08, 0x454afe19, 0x9e8031bd, 0xabef32a4, 0x79775fc6,
+    0xff967be2, 0x1c8cebe8, 0x8e2ce12f, 0x5eb4f6d3, 0x47c1422b, 0x7f4e2462, 0xd78a003b, 0x3237c0cf,
+    0xdecdda3b, 0xbd1b8de1, 0x0ca93f60, 0x7f3a0095, 0x6db30c57, 0x0bc14765, 0x1b31aa41, 0xdd090f43,
+    0x4380d858, 0x570f6963, 0x9ed61319, 0x87b48b14, 0x5f74182e, 0xd8f50bbe, 0x7b072061, 0xade8f56d,
+    0xbb1400fa, 0x6f54defb, 0x7db389d3, 0xf0613af8, 0x9918e9c7, 0xdf66d27f, 0xceb09539, 0xa142477e,
+    0x040445c8, 0x2ceeff8c, 0xd6b8defa, 0x5d0e7a6c, 0x2ffebd80, 0xe1759b74, 0xbfda13bf, 0x6f8ee205,
+    0x32af888d, 0x825529fb, 0xe3c2bb94, 0x6f5349c2, 0x21da368b, 0x88565328, 0xe5338606, 0x2d5c16ab,
+    0x83a43821, 0x247a5596, 0x08edf7f1, 0x7bddbe68, 0xd91f35e7, 0xa564a308, 0x712a5e6d, 0xb20a95cb,
+    0x9d738b14, 0x7db1dcdd, 0xc440ee7d, 0x16de6db3, 0x67377187, 0x61fa781d, 0x18096bb4, 0x854a968b,
+    0x588b76ed, 0x5718f374, 0x24484838, 0x9fe44475, 0x4180706a, 0x4fd384c2, 0x50737c3c, 0x89a8645e,
+    0x860a8b31, 0x5d5d39b9, 0xba0c6f95, 0x73175360, 0xa2b17e1d, 0xed8e10a4, 0xc0a227a1, 0x0be320ec,
+    0x76b4babd, 0x07a81bcb, 0x9b9650df, 0xa7bb8acd, 0x46b7873e, 0xeb811455, 0x9d96d752, 0x9d999275,
+    0xc5e2e2cf, 0x530cd334, 0x1fcdd2e9, 0xbde20401, 0x37e1a638, 0xbcbfe719, 0x8f8eb385, 0x4dc251b8,
+    0x9c952e7f, 0x5302f444, 0x26f61e10, 0x7f1420ed, 0x8a3448e1, 0x75aad038, 0x47e8bb9d, 0x1315171f,
+    0x8c8c6879, 0xf6f61f10, 0x592415f5, 0xa92c458c, 0x8d110c96, 0x2bc2b094, 0xcb9108d3, 0x0498d304,
+    0x86e40af8, 0x62e3b3be, 0x0af4c3f8, 0x04adf5a1, 0xca6bc367, 0x88bd5b98, 0x05def91a, 0x9193a8d4,
+    0x39cc1523, 0xae9ada02, 0xa74b5c81, 0x2f8d595f, 0x6a8af39e, 0xab67b3e5, 0x7e3ba615, 0x54bf443b,
+    0xe9bd9ab4, 0x21de16e8, 0xfc62a77a, 0x53e175b5, 0xbbe7baf3, 0x8c0a2033, 0x87930435, 0xfe79feea,
+    0xee0fedad, 0x8652c186, 0xe9dfc638, 0x3b42466f, 0x413797ef, 0x5c58c956, 0x8053abdf, 0xe4b92471,
+    0xa0b61239, 0x450ed391, 0x490b88a3, 0x3cf26280, 0xfff02cab, 0xe3964272, 0x46c99965, 0x33cafcd0,
+    0x308d5279, 0x49fac2a3, 0xa970cc42, 0x214ba7d1, 0x56a6f51a, 0x5b0027b4, 0xdbe21efe, 0xff586dfc,
+    0xd11760fa, 0x96f4ab3d, 0x8f10d016, 0xe1fd8fbf, 0xf8c9ea01, 0xd097d7e6, 0xe533f5d4, 0xd4542f5c,
+    0x882c5433, 0x4e509acd, 0xddd94e21, 0xd7eb27c8, 0x5a4f6a84, 0xbff3bb31, 0xb44e4f84, 0xbdf34bc7,
+    0x6e8dcc86, 0xbbdb64fc, 0x9d5fc971, 0x4e868bd5, 0x95ad1df4, 0xf2fcd370, 0xa1d9823e, 0x86db4d6a,
+    0x82035efe, 0x6291cbbe, 0x3a802b17, 0x1997a160, 0xa61a85aa, 0xfe7f4b87, 0x5a587c59, 0x16a1f197,
+    0xfa8da4b3, 0xb91f766b, 0xc36a23ef, 0x0173b19e, 0xb198b535, 0xa3c590bb, 0x4942ea5b, 0xe67bf635,
+    0x31635b3d, 0xe3453d45, 0xf67688d8, 0x0da216c1, 0x4f458044, 0xd9edc194, 0x4ce41547, 0x2674bfe0,
+    0x298f0869, 0x7940fbb0, 0x12f2d721, 0x03f7a7b4, 0x046cb7f1, 0xeaba0723, 0xe71c0a32, 0x5316f4d1,
+    0xc45c3b63, 0xa097db06, 0x7f41bdd3, 0x3fe549d6, 0x3ff95e28, 0x74983fd7, 0x5f7657ab, 0xbebd8ee4,
+    0xd43f8451, 0xc76e59b9, 0x3c1272ea, 0xc7fd4857, 0x5a60e640, 0x0043ced6, 0xe5dbf2c3, 0xb2116d1e,
+    0xfbcb0840, 0xde223ea2, 0x5f0c462e, 0x48a6a10c, 0xfc92bd57, 0x0b031daa, 0xd2961c5d, 0x283ae66f,
+    0xa84c4bfc, 0xd6e4cc11, 0x662c86a9, 0x144488d7, 0x78eb698b, 0x20f2378c, 0x7597a09f, 0x268c0a3b,
+    0xff485bcc, 0xd5f0937d, 0x171be78a, 0xe5616241, 0x8b1e7275, 0x19f34679, 0xc27de8c3, 0x004eece4,
+    0xc29b2e88, 0x727caef2, 0x12920b1a, 0xfa742ad9, 0x5ace0569, 0xb6e7022a, 0x54746ba8, 0x7faaf785,
+    0xda20c040, 0xd8ee5d57, 0x4a12cb2a, 0xde5713c3, 0x7640fb84, 0x4f6e37f7, 0xe2dc3c1b, 0x2139cfe6,
+    0xb4f04408, 0x556e61fb, 0x8e75ec4b, 0xca4e9779, 0xf1ff9952, 0x05aea78f, 0x91eb3962, 0x1adb8f96,
+    0x979ca6b2, 0xbd656d21, 0xec937a79, 0xd3fe9cd3, 0xe7d76068, 0x9f6470ca, 0x0ab6b5b4, 0x2ac1df60,
+    0xc00bda72, 0xecbdf1e2, 0x3c4694c9, 0x1417898c, 0x90600986, 0x44a28541, 0xed22eace, 0xf72e4065,
+    0x1848608d, 0x19c6b9bc, 0x52ae926e, 0xc72fb1ba, 0x092a103e, 0xaab32a29, 0x6da7cf18, 0x6908205f,
+    0xd4dfb53c, 0xc0f70afa, 0x2281125c, 0xbe7c70ed, 0x6ee20c0d, 0x3d8b706d, 0x101f3378, 0x6b9226f1,
+    0x16fbd67c, 0x48c5415b, 0xd15f25b5, 0x6deed3c1, 0xa8861cc2, 0x3811cf4c, 0x9138e4cb, 0xef925b0c,
+    0x98079b87, 0x9802d8a0, 0x58830ed4, 0xbcfe2506, 0xe56e5a71, 0x19edf04d, 0x3cfd4957, 0xa50109b2,
+    0x0273b491, 0x8349ee90, 0xa356d02b, 0x87d6c32b, 0xb39a5fc8, 0x63dcad81, 0x08f554fd, 0xd40d452e,
+    0x7798f4c6, 0xfe4951ef, 0x6e026db1, 0xade26402, 0xcc83a11d, 0xbd526d30, 0x45523e8e, 0x98a33ae8,
+    0x58233ba9, 0x56b3084b, 0xe3a3bc99, 0xb4894945, 0x6cb3e75d, 0xbb008327, 0x64c7ee41, 0x4fc5c635,
+    0x8d61754e, 0xce2986e8, 0x140d2bc9, 0x54c333ce, 0xcbd23203, 0x442f1fd5, 0x0fbf2e9c, 0xdda6d1d5,
+    0x0167863d, 0xbf4cc83c, 0xc6674b68, 0x4e62a5bc, 0xb7a70482, 0x75ba63fd, 0x71dc55c6, 0xda14c098,
+    0x5210b702, 0xa0ee4221, 0xb87999e6, 0x19bdfcea, 0xc3a4cb55, 0xdc05f4e7, 0xd9891ed4, 0x449cb417,
+    0x040c3bb7, 0xf3774c45, 0xd7d795be, 0x6180057a, 0x2d3ae824, 0x9fc4d07c, 0x47accdda, 0x2fb8816d,
+    0xcd3a89b2, 0xfb1d2248, 0x24f45a76, 0xbffa5585, 0xb3339956, 0x5013e9ef, 0x0130695a, 0xac20b92f,
+    0x6f2a0f5c, 0xfb6fa12a, 0xf9b25dc4, 0x0e7ad40d, 0x8b93a4ef, 0xf09338f4, 0x1027ed29, 0x3814912b,
+    0x540d286f, 0x22438c70, 0x32a10256, 0xcce0e8e5, 0xf9917d9b, 0x4ace0881, 0xccdc8038, 0x835ee7c0,
+    0x6b47a5ac, 0xe8c11b2f, 0xa1eb606f, 0xbf1aeaa8, 0x0d6a1a71, 0x2c70fedf, 0x0c5d78f4, 0xd91cb668,
+    0xff9dab08, 0x09833839, 0xaa31164c, 0x5410f4b6, 0x725304a7, 0xdb29cc3a, 0xf2c4cfcd, 0x7119bf58,
+    0xed37b2dd, 0xcdd343cd, 0x8871e342, 0x9bb861f3, 0xe8389217, 0xb86fbef9, 0x07e8d9f7, 0x59526f84,
+    0x5d50c387, 0x3c565e77, 0xc5282482, 0x440c6ac2, 0xacc3eb0a, 0x9d2045b8, 0xc6038c1f, 0x6d6f085f,
+    0xe70519d1, 0x4b73ab65, 0xe5289992, 0x9ba062bc, 0xfe3ebc24, 0x445cc552, 0xe946d21c, 0x637f0429,
+    0x9e93ee29, 0x24754837, 0xa5877682, 0x5be27b5c, 0xeef4c494, 0x93da40c6, 0x0b560dc4, 0x0857c36b,
+    0xe42c442b, 0x473bb7ee, 0x1a62191e, 0x033eef0b, 0x1875bf08, 0x7255fd49, 0x40f7724c, 0x579ed948,
+    0x73d70cbd, 0x3a04299a, 0xce97f936, 0x90490dc8, 0x2ee0084c, 0xbf22bc42, 0x056dc53a, 0x708c74d0,
+    0x66d6953b, 0xfdee7594, 0x2415014c, 0xd0489a93, 0x8c80e826, 0xb0471ed4, 0x3692e31c, 0x2930330e,
+    0x901fbc19, 0x14510522, 0x591f2355, 0x91d77bb6, 0x340d4f15, 0x42cbf603, 0x97e1db53, 0xbf5c5f42,
+    0x423a3363, 0x8dd7d6ae, 0x65d90938, 0xd25b4277, 0xded68176, 0x550dc91f, 0xbac53b8e, 0xa64bba19,
+    0xfaa29e0d, 0x36bdcc59, 0x7135aaed, 0xb59701b8, 0xbdba744c, 0xc1831b47, 0x3d0a6cc3, 0xcfd9aada,
+    0x676cf81c, 0x2703479e, 0x74fddf63, 0x70146fec, 0xf9b78cbd, 0x5e6eece7, 0xc37292bd, 0x82832fb4,
+    0xe1c8d0ab, 0x19078cd0, 0x872c7d2d, 0x26a8598b, 0x447bfa6f, 0x569530cf, 0xb802df19, 0x228a216d,
+    0xa3c6ce7d, 0x956b6715, 0x87b85947, 0x1a69be25, 0xccfeb5e7, 0x3ddcc0e9, 0x6f546516, 0x886c3931,
+    0xa1939f9a, 0xe1696bd8, 0x70724a12, 0xf9f9ad47, 0x6bc7069a, 0x8af88123, 0x5a065d8e, 0xc80c738c,
+    0x35fec00e, 0x18b5be85, 0x198b5537, 0xd58dbb10, 0x072789b2, 0x5b980448, 0x067eec6a, 0x3bfca3fe,
+    0x456e80e4, 0xc261db4e, 0xc5348a47, 0xac92f03c, 0x01ac5961, 0x966293cd, 0x9794f36b, 0xd76225ee,
+    0xb842c959, 0x8225693e, 0x5bbc01ae, 0x913df4ca, 0xb9148d97, 0xe2bcb1c0, 0x21c23994, 0xc398576b,
+    0x24fe7269, 0x92f403ee, 0x288aad2a, 0x197f16fe, 0xf36c7afc, 0xba824f7c, 0xc8967dcf, 0xd7d195c0,
+    0xbc9faa52, 0xb55044a4, 0xcbe47629, 0xcd85038c, 0x782e8a7d, 0x6e522a79, 0x335475f7, 0x3d8651fe,
+    0x2d3f36ce, 0x1659cff4, 0x507191bc, 0x1516bc49, 0x7d4512f6, 0x55653186, 0xcc9e6076, 0x33491284,
+    0x3bb98e21, 0x807a37a8, 0xcf57d587, 0xc1461a1d, 0x39e6c63e, 0x215d2de5, 0x7719104d, 0x4fdcc2b1,
+    0xb86b98b7, 0x128b2920, 0xbf9c5f92, 0xf4cca1dc, 0xa34f2e5f, 0x4732b153, 0x08274f2c, 0x69c94492,
+    0xb2b22415, 0x1ebb800c, 0x5e7b0acf, 0xc507a7d6, 0xfffab8b3, 0x509ad79b, 0x249fd33f, 0x02402f6f,
+    0x33191390, 0x6fa3c52c, 0x9631fd8e, 0x1b3efd76, 0x1feed7c6, 0xf34bb90f, 0x830ad560, 0x17ddd9ee,
+    0x1475cead, 0xa592030f, 0xc8ca4683, 0x3e981be1, 0x7592d4d9, 0x17677b1c, 0x2221aa2a, 0x9f02bbf9,
+    0xc876cb41, 0x0800df13, 0x8e61db4f, 0x0caf11b4, 0xa0547d28, 0x9939c943, 0xc1c38081, 0x9fcfa1e0,
+    0x0196a822, 0x1fd4da99, 0x4d60fc42, 0x7cad3aba, 0x5567b2b7, 0xb3c8b5b5, 0xed2c9f26, 0xbf4ffffb,
+    0xdf128e5f, 0x5259f121, 0x55563c7e, 0x894335cb, 0x7adba174, 0x7e1ad4e3, 0xf0e48124, 0xe006dbf9,
+    0xd6b38790, 0x38763e76, 0xb524130e, 0x6e76ee5b, 0xa133b1a8, 0xef78230e, 0x616f96c3, 0xe1443325,
+    0x42e834c9, 0xad8f74a8, 0xe7823cda, 0xe6820b2e, 0x79842f4b, 0x702d8fe7, 0xdcf7eb74, 0x712f25a8,
+    0x77a6be66, 0x00e40cbe, 0x3dbdc811, 0x14ea5d3c, 0x735dae1a, 0x7648075c, 0xbad66e8f, 0xc4da26d7,
+    0x9a8e6eef, 0xc33c22e5, 0x5d2f8ba3, 0xc57687f8, 0x6fd0d410, 0xee0032b5, 0xf044b8a4, 0xc6413ec6,
+    0x00000000,
+    0xf95b2c3c, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000033554432 */
+  { 0x00000000,
+    0x3e4722b2, 0x4ea3ed48, 0xffb90187, 0x21f0bc37, 0xa0004451, 0x5e257223, 0x4cffcca0, 0xb55ddddd,
+    0xf103b5ae, 0x5bcdacc5, 0x985bb874, 0xe44bfdfa, 0x2eccfe27, 0x0d59ca09, 0x9695b754, 0xf9f93c40,
+    0x90166f27, 0x20a9a9e3, 0xf8afa4ef, 0x18c9ac49, 0x870e0297, 0xde05ff88, 0x63c9a3f4, 0xc88fabc5,
+    0x66cf2b0e, 0x9b643237, 0x9a980fa5, 0x6a7bde85, 0x566bf5cf, 0x6ad8f535, 0xbced6df8, 0x92cf8398,
+    0x1fa91f16, 0xcab82237, 0x06fea45c, 0x5880c6b7, 0x7baff271, 0xdc55c651, 0x88c7b6d1, 0xf33db166,
+    0x5359e4bc, 0xce7c9c29, 0x3da7d80c, 0xd5f0a4e6, 0x9b4944b0, 0x39019e3b, 0x9178f2c7, 0x2105c4af,
+    0x464e6d53, 0x2c42d5ed, 0x891817bb, 0xb82c4f1a, 0xb997cf57, 0xfea930a2, 0x93717e03, 0x3cdfd100,
+    0x826930a5, 0x2c786a8d, 0x3aa6875b, 0x2a16b5db, 0x5cbdba5d, 0x71df4ef3, 0x648efcbe, 0x6cdeda19,
+    0x834d1445, 0xa5727652, 0x91e7a177, 0xcc10ccb6, 0xaf7f8a7a, 0x0beaf5bf, 0x9eca6e9a, 0xf5517547,
+    0x227fd21e, 0x7133024d, 0xeb486636, 0x411f09e6, 0x7044928b, 0xe736cfdc, 0x290d7a8c, 0x464c6ff7,
+    0x2eae6ec3, 0xd2d403ae, 0x31a1dece, 0x08c42a0c, 0x63962414, 0x0fda2853, 0xa1a06568, 0xc44dceef,
+    0xa53eda18, 0x3a099387, 0x9fd8519c, 0x97c32b1c, 0x28f3c9c4, 0xc3aa1d47, 0xfaeaae42, 0x4ca374a9,
+    0xdf7d0af9, 0x6ff690d3, 0xa3a4fc1c, 0x736b4e6b, 0x6d75eb9e, 0x524b0bf1, 0x8a6fef7b, 0x193acc59,
+    0x222903b2, 0x01169f74, 0x97c255df, 0x76e444d5, 0x0263bec0, 0xf6418a4d, 0xfd729d59, 0x4c7278c4,
+    0xe020f490, 0x45a5a09b, 0x40a3a699, 0xec272a0f, 0x3b11d4b9, 0x875535b5, 0x09ff9f10, 0x7358bf5c,
+    0x6f9481f9, 0x5d22173d, 0x914da6e0, 0x3a361636, 0x0f150f4a, 0x31b4e774, 0x11107328, 0xf85d8554,
+    0x217e1498, 0x8169bfdc, 0xfcb1dea1, 0x40604960, 0x4825b3db, 0x6d8b6867, 0xfbc91828, 0xc73982a8,
+    0xac0b591f, 0x64092813, 0x62c4174d, 0x7950ae35, 0x74369962, 0xa00e5e3b, 0x40ad6941, 0xcddf8bf1,
+    0xbcbfe1a6, 0x5a7f3a75, 0x3d2be143, 0x67277613, 0x4db38bf8, 0x06095fcd, 0xddbb6ca3, 0xfcc3a947,
+    0x8d57804d, 0xc804d870, 0x4e07ac6d, 0x1ea62873, 0x0d20202a, 0xad046ffb, 0x51fa62e4, 0x1a7f0604,
+    0xc631fbb6, 0x9b68111f, 0xd461dd40, 0x0c20b62c, 0x9abfb52e, 0xd79e4aac, 0x3f3790e2, 0x44475e56,
+    0xb64df7eb, 0x89a65c9e, 0x9a39b64a, 0xef2ca19c, 0xaf9c9602, 0x1cf6d655, 0xc672dd33, 0x52bd6e5f,
+    0xff7ce616, 0x7757ff0c, 0x5b68e7e3, 0xef9ee1de, 0xd2cda111, 0x9a1e6d72, 0xb7034495, 0xeed7d9da,
+    0x587599c4, 0x7b4492da, 0x4e2081ee, 0x3ac5df36, 0x340a0c27, 0x94486055, 0x30faed85, 0x9340b464,
+    0xc3cf98ad, 0x796960cf, 0xc02b6a6b, 0x229dd9d0, 0xa6c829e5, 0x2fc6da3b, 0xf65cefdd, 0x2fd926c0,
+    0x061fa984, 0x2ab92331, 0x966441bf, 0x10704957, 0xae8a1266, 0x2de01ced, 0x9dd78f7f, 0x3ddf7b1e,
+    0x1c9d40af, 0x0d7ac522, 0xce5f14c0, 0x4266d8d7, 0xa42b31f3, 0xaa41e8e0, 0xa37cd223, 0xa4c25cfc,
+    0x20d5889f, 0x14556d39, 0xee80ca74, 0x7e901c30, 0x56418e9c, 0x57ffd74f, 0xd08372ee, 0xca8e3cbd,
+    0x65f642fc, 0xaff010c8, 0x023ae490, 0x618ea654, 0x2670c9c2, 0x19fa487e, 0x66cf26ae, 0xb6f82e79,
+    0xeb7cf9f8, 0xa6d3980d, 0xa7a99430, 0x13c32b8b, 0x9d4ad489, 0x80a4acda, 0xbb5e4a18, 0xf869fe47,
+    0xdb71bfcb, 0xb7d27ccf, 0x829234e1, 0x689667c4, 0xca7427c3, 0xd0123151, 0x28e535e3, 0x07aed3d7,
+    0x59b4f74e, 0x86bf2bd7, 0xc57c966c, 0xaeb2e75a, 0x363ee12f, 0xbb966116, 0x20c5c707, 0x36a3c982,
+    0xd5d6d92b, 0x8729f94f, 0x9a692060, 0x57253ac0, 0x15bdc1b7, 0x26df876a, 0xe4a17735, 0xb342797f,
+    0x402b8e27, 0x313a2db9, 0x77352b12, 0x023500f1, 0xd7a75f84, 0xe0f270bd, 0x3129e75d, 0x25c978ad,
+    0x8f91542c, 0xbde13b7b, 0xed5fb67b, 0xc0d05da9, 0x72ae2034, 0x076d157e, 0xcfca8297, 0x19afc76f,
+    0x99314a82, 0xe8aad006, 0x8f96f708, 0x62e98136, 0xaeae5237, 0x60e4da56, 0xd41e3d3a, 0x7e4528c3,
+    0xcd396ccb, 0x97ef1504, 0xf8e0e346, 0x9d4f983a, 0xcf533a15, 0xdcf06065, 0x25f527f0, 0x26a7188b,
+    0xfaa47d0d, 0x3094ce99, 0x8d0683bf, 0x8fa26460, 0xd018044c, 0x992e2cf0, 0xa5fc2bab, 0xbb3f9e89,
+    0x2b000889, 0x4bc9c86d, 0x4ede9478, 0x48d8a6a7, 0x667f6fd2, 0x95014842, 0x2f2d1c49, 0x56bf75e8,
+    0x22caa629, 0xa908d9d3, 0x4e08ad50, 0x0b09a16e, 0x00d98567, 0x6e05c5f8, 0x1efb1ff0, 0x1aa57618,
+    0xed71508b, 0x4756f1a7, 0x08e825bf, 0xc66593cb, 0x7ec3f374, 0xbd7ed9ab, 0x6fcef339, 0xf8549643,
+    0x650cabc2, 0xba0e7dd5, 0x76691c88, 0x09307145, 0x80435d7a, 0x11b70116, 0x2e5d9b92, 0x9feaac54,
+    0x09acb70c, 0x2f848856, 0xb28b0e94, 0xa0716e8b, 0x1ac436c5, 0x2f30a04c, 0x6fbbbeb8, 0xa69c67dc,
+    0xebf20b1f, 0x53811349, 0x51a40cb3, 0x83e07f20, 0x347ac805, 0x570d6279, 0xb2701169, 0xc18678b5,
+    0xb09991df, 0x271ec978, 0xcd16a22c, 0x6a3aaf86, 0xe980bd70, 0x3863c2ab, 0xc7515c79, 0x98f33c78,
+    0xc353942e, 0xbc610794, 0x86073038, 0x7147b90d, 0xabfd1e06, 0x77bfa4fc, 0x9c6a113f, 0xc29813b2,
+    0xeba1b978, 0xcba86e06, 0xd640ef80, 0x7404ae51, 0x2786abe4, 0x30894572, 0xdcac2aac, 0x5632ec6a,
+    0x2ffb47d1, 0xc0e216e1, 0x02b439d0, 0x903c7109, 0x6c97fd7e, 0x116bf2e1, 0x1930a67c, 0xcc30e201,
+    0x26a7bdc7, 0x7c9da74e, 0xe01cfe9f, 0x9714af28, 0x6db24a9f, 0x03cce8e6, 0x755153e7, 0x2a4ef2d9,
+    0x471aaf41, 0xbc890b55, 0xa301e90b, 0x0400830f, 0x0420e3c8, 0x1392a6e4, 0xf77949a2, 0x582275f1,
+    0x5a5e6772, 0x0e1993b7, 0x8f949020, 0x4fa7e08e, 0x34c9b834, 0x8c7b1bac, 0xdbdca738, 0x00f2f86b,
+    0xddf14a4a, 0xf69ac3d5, 0x5eb94cc2, 0x0a121e56, 0xf668942a, 0xbf5e14fc, 0x55df92c9, 0xa3ac4252,
+    0xf03941d7, 0x3a158aed, 0x3b5b0d25, 0x3bffe569, 0x5be8bf37, 0x38713219, 0xeb7b5698, 0xf5e35e7f,
+    0x69717c89, 0x99a2602c, 0x0f543dbd, 0x8b7cc8cd, 0xeb104310, 0x794f7e3d, 0x1920b4d2, 0xf8002f8b,
+    0x98cb24aa, 0x4d44008e, 0x488546be, 0x6d19aeba, 0xdef26713, 0xf8b7471a, 0x03cae080, 0xc72abd15,
+    0xf436ee74, 0x62e753c8, 0x3d63a370, 0x8042929e, 0x71d4a4e4, 0x325d2568, 0x2f797d0b, 0xa685d800,
+    0x1972c831, 0xdb31d5b4, 0xdd088062, 0x556258f5, 0xa5de7fc7, 0xab478608, 0x5bfc1810, 0x175c6aff,
+    0x0e426770, 0x74b11784, 0x9b8377d8, 0x3768d88b, 0xc78ba239, 0x1a8e56b0, 0xf0e472f8, 0x95ee9a96,
+    0xbbf0e3ec, 0x8f90a5a4, 0x7e8be02f, 0x3090e77a, 0xe7e3731d, 0x096f5239, 0xf96c7fe9, 0x8a287009,
+    0xbb675100, 0x4af11131, 0xdfb6712b, 0x6e201ad4, 0xad7d3f04, 0x36e54751, 0xb1fb9aec, 0x493ebd42,
+    0x81f7d15b, 0xcc31057d, 0x8833d096, 0x4bb8daf3, 0x0715587a, 0x3e2641cb, 0x7cfcdeb4, 0x75baf551,
+    0x285fe9ef, 0x6f6148ba, 0x7c35bcd2, 0x8c48495a, 0xe948af1d, 0xaa586724, 0x4fef8251, 0x480c183d,
+    0x241f99a5, 0x4510f424, 0x2b01a744, 0x10d2f360, 0x23faba69, 0x5308f128, 0x05b0778f, 0x20222c15,
+    0x81fd6402, 0xd14668c8, 0x7cf4cf4f, 0xf93d76fd, 0x02698806, 0x5974045c, 0xff19fe56, 0x7b46c1f8,
+    0x415f0e38, 0xf5679550, 0xa067ac72, 0x68d77d99, 0xc44322e8, 0x71b54855, 0xddb8aed1, 0x74393cf6,
+    0x2cd56770, 0xeb9df5d2, 0x76d9c29d, 0x8e06d976, 0x1bd3d2ad, 0x29a6510c, 0x278f4031, 0xdd8851f9,
+    0x34ff9392, 0x48df2024, 0xd385bcf4, 0x7f3a1dc1, 0xdceca60f, 0x23b3e452, 0x44bb5c61, 0xb35de0db,
+    0x9532cbd1, 0xd3108439, 0x570f4de1, 0x81f9356e, 0x1ed5ff0e, 0xfabf43df, 0x27bc65e7, 0x74b1dabd,
+    0x525f7669, 0xc0fa3016, 0xec3d14b1, 0xc28b577b, 0xc1a2b01f, 0xba1c6b88, 0x96598720, 0xe417a3ed,
+    0x1d4d3a8d, 0xee9b727d, 0x0b828e46, 0x8be6044e, 0x90bb543b, 0x5a90690c, 0x0d183c03, 0x71d47ac8,
+    0x6b28507c, 0x97dca13d, 0xb79a4880, 0x11122a03, 0x3b0ce02f, 0xffc5039c, 0xf63c81b4, 0x41f4da36,
+    0xf7a2d439, 0xa6c7b2c8, 0x2401da43, 0xe8ff6b7e, 0xd789d14c, 0xeed04269, 0x4f606a11, 0x95145b0e,
+    0x061f7237, 0xc0719862, 0x428d74b8, 0x8d539a21, 0x60c8c3cd, 0x8a24abc9, 0xc4bb156d, 0xfbc71640,
+    0xe1d62913, 0x948df6f8, 0x2675b259, 0x2668cb91, 0x30fe1a63, 0x2bc1aeab, 0xd53ce065, 0x8de2c8f9,
+    0xcb96c8db, 0x48426598, 0x278ddd30, 0x0857f492, 0x7a03a897, 0x762f2e41, 0x881ce6a4, 0x875b87cd,
+    0x0e1960fb, 0xd24ee527, 0xc2b4d2ac, 0xa77b1cc9, 0xc2764804, 0x9c006a95, 0x96d8eac1, 0x8e8bf15b,
+    0x5362e1fc, 0x9d2145c1, 0x5e886368, 0x403ee4fd, 0xf2a34e1f, 0xc038ab22, 0xe592e9cd, 0x5e7a5e29,
+    0x96d3c6b5, 0x17b239ab, 0x43fe5bef, 0xe964266f, 0x62f1c023, 0xe80715be, 0x50ab1c22, 0x0b07a95c,
+    0xcbf12004, 0x2ae0784c, 0xd4694e27, 0x36a8d2fb, 0xd229e66e, 0xfdf11211, 0xab3302fb, 0x700c6655,
+    0x3ea66406, 0x0ef7339b, 0x92d0354d, 0x5df34641, 0xe98fcc44, 0x5593733d, 0x07491b4c, 0xbb89a948,
+    0xfbfb50f9, 0x11339a40, 0x70677e7c, 0x8c3ff39d, 0xfc52f55b, 0xee2ef09d, 0x2865664d, 0x0822d715,
+    0x04945aed, 0xc8eedd09, 0x2c74aa1c, 0xb26a26be, 0xbb512614, 0xd9296891, 0x3b1e93df, 0xd7ff4693,
+    0x65ee3c08, 0x3d19515e, 0x2b3e5d3e, 0x397ad855, 0xcf264a20, 0x7696727b, 0x30b7e102, 0x5250d32e,
+    0xce847a74, 0x25743b10, 0x02aff739, 0x088ca282, 0x11074c37, 0x3f59f1f8, 0xc5e6e5f1, 0x04439f46,
+    0xdfa0ab71, 0x03514499, 0xbfd62715, 0x2e7445c5, 0x66fe090c, 0xc05884fc, 0xedf41054, 0xbf591de5,
+    0xf40d4f1f, 0x967e6619, 0x6a143420, 0xdb1edce4, 0xcd392a43, 0x0081f8d8, 0x9b479e0f, 0x1a9beec8,
+    0x66c0c682, 0xeade9cb5, 0x5f0e7f0d, 0x2477b217, 0xc23eecf2, 0xd04ffdee, 0x33d55012, 0xf425a694,
+    0x9c7afed8, 0x25382fe9, 0xbf002b75, 0x84ab179d, 0x58a74933, 0x74bd89ef, 0x3a666013, 0xb697239f,
+    0x0cd3c179, 0x723669fe, 0x9fe7d8fa, 0x257dd434, 0xde12f0fb, 0xb5b11f15, 0xe465d04a, 0x5747dcce,
+    0x7a23a534, 0xb425ffb4, 0xe9c8d2a7, 0x46ab6dae, 0x3167ea42, 0xff27093e, 0x88bd4d1c, 0xced11336,
+    0xa1c93841, 0x77ac48a6, 0xc314aced, 0x2b75134c, 0x20895285, 0x6448dbe3, 0x7ceaa8b9, 0xcc322ac2,
+    0xdca2d524, 0x6e49e2e8, 0x584ae209, 0xbe163a13, 0x564c401d, 0xa12aebc9, 0xd2d5de8c, 0x2ad513aa,
+    0x7a013b09, 0xba4fed4b, 0xf650e06d, 0xd9d90814, 0xd68fea0e, 0xfc0fab95, 0x0243e415, 0x3e4eea16,
+    0xd6ebd640, 0x68878e7d, 0x1ec4582c, 0x9d2ee35b, 0x7efee00e, 0x9d016c2f, 0xddc032cc, 0x1963c96b,
+    0xd7bd2994, 0x8c43a84f, 0x1963e592, 0x8b1e6251, 0x7c124b6c, 0x3725091c, 0xeda812e6, 0x1f1f2e39,
+    0x0715701a, 0x7213abcc, 0x6e892bbe, 0x3580fe03, 0x92f71d58, 0xdfca3f73, 0x7ad91f4a, 0xb7546d46,
+    0x1061bd9f, 0x70abc54e, 0x15f6888c, 0x891f0aa4, 0x46fa80f6, 0xca7d5dec, 0xe7d4f999, 0xb515808e,
+    0x4749f5a0, 0xd6d5729f, 0x445010cb, 0xd9d5a901, 0x8433f71d, 0x3ced00b3, 0xf407f572, 0x93347364,
+    0x191828b1, 0x6e89dd66, 0x7b5af7b9, 0xc95819be, 0x5e403986, 0x0585cc14, 0x82cd7100, 0x5c879550,
+    0x90aa724c, 0x00589af7, 0xf2345696, 0xbd8d5871, 0x37bb6e97, 0xfc3c904e, 0x335c1e03, 0x45701d5e,
+    0x8011053c, 0x82db0dce, 0xe2fdb921, 0x6e52dde6, 0xc49b062f, 0x19d6da78, 0x7e8553f4, 0xb5088d9f,
+    0x157a976c, 0xaacfc987, 0x7684b1f0, 0xefac69d3, 0x8edfef9c, 0x1fe6688d, 0xc9519595, 0x446730a0,
+    0x1f578b0e, 0xb45fd867, 0x69b977e2, 0x4521b2e7, 0x329c3957, 0xa26f7c26, 0x3ce13326, 0x535e2207,
+    0xe16b701a, 0x875d051d, 0x90d5f1c2, 0x14956ac4, 0x0e08d968, 0xaec288dd, 0x8a482dd0, 0x4d4f30bd,
+    0x3c058647, 0x5d77b205, 0x0f8e6481, 0xcc50ba33, 0x8c183379, 0x30535a62, 0x35c4c19f, 0xe4b7edfe,
+    0x301ba256, 0x17f13472, 0x4df15616, 0x64f48e2f, 0x2f5e53d5, 0xebfecb02, 0x79e1575c, 0xb083f1c8,
+    0x09df5a60, 0x497701fd, 0x5e58a0fa, 0xef8f8bd4, 0xc3ecce45, 0x4c305ea8, 0x0a252cba, 0x34bcefd6,
+    0xad7cc944, 0x46ce1c44, 0x4abc184b, 0x4a572309, 0x4b40a1de, 0x1ef6d685, 0x602bf692, 0x8b7b19ca,
+    0x12ddfa29, 0x1b1c7ea4, 0xacc034ae, 0x6dce7864, 0xc931e1f4, 0x3e8d396e, 0x51e2bef9, 0x3255002c,
+    0x05b34ec4, 0x5904c2a3, 0x57312762, 0x9e0629a5, 0x84500528, 0x972c435f, 0xd6b57c5a, 0x2aed4d7f,
+    0x36ea6b6c, 0x3b3d65d0, 0xa249128c, 0x3fefcca4, 0x6583403e, 0xde8799b2, 0x928ec4d4, 0xbb458821,
+    0xe1c5e7d6, 0x2dde63d6, 0x981e45cb, 0xbc7d79bf, 0x7952e04a, 0xe151260a, 0xe67bab5d, 0xb0608b67,
+    0x81312eab, 0x76960aae, 0x9c4fcd11, 0xa76938da, 0x5f006e1c, 0xa061989f, 0x7898f06a, 0xa3598bf2,
+    0x68b2816b, 0xd871c715, 0xc470d1e6, 0x62e15948, 0x5d48e42f, 0x9a566d2f, 0x613d9f99, 0x9939c7d4,
+    0xd4d31051, 0xc924462e, 0x2879097a, 0x7fb0ffd9, 0x3a725043, 0x8f2187d0, 0xb5d063f7, 0x3a196a22,
+    0x92bfca48, 0xc9daa913, 0xa624517a, 0x5b4c109c, 0x727b7530, 0x3aa09757, 0xcd3aecbd, 0xb9370d29,
+    0x7d3aea32, 0xf66dca67, 0x687a1922, 0x29b6c5a2, 0x957d6b02, 0xc2b9e335, 0x22a38930, 0xb238d14d,
+    0x6251af23, 0x189ab4a2, 0x0adf908e, 0xfab0e291, 0x6961a6d0, 0xc1aaf0a1, 0xdf6ff6b8, 0x79564f59,
+    0xc76895f7, 0x1892fa10, 0xa5c6b11d, 0x51edcbaf, 0x5f90474d, 0x48c0ccb8, 0xbaad0809, 0x20be82ce,
+    0x059ee349, 0xf7393f9a, 0x25e3456d, 0x108a8335, 0xd53a960f, 0x171812cd, 0x9bb5bd7c, 0xeefe98c0,
+    0x9946cf5c, 0xf7fdefed, 0x6d07b4b7, 0xea20bf2b, 0x8fd34181, 0xc4f0f3b3, 0xa4269028, 0xd57e366d,
+    0x26a9f3df, 0xec13d05b, 0xdda95fe5, 0xe28150f5, 0xb11358d1, 0x3d11175b, 0x3412dab5, 0x97105b32,
+    0x84ba7fc5, 0xdfe4a014, 0xb7b3b9f2, 0xcd5c3b6e, 0xb39fc6ce, 0x9fa3d90d, 0xec526a9e, 0xa5522593,
+    0xf4d2b854, 0x9470fab3, 0x32cdebed, 0x08286b8e, 0x07aaea0d, 0xd2d54316, 0x545df32b, 0x0fcff2f5,
+    0xd6872623, 0x0f454f47, 0x90c8a1c0, 0xa3d8719a, 0x1033edb3, 0x3fadf2ec, 0xfba6c61f, 0xdf524c73,
+    0x2eabca3d, 0xb56952aa, 0xd7657503, 0x6af9b938, 0x2a519e33, 0x65d30b48, 0x3af21be6, 0xe148e940,
+    0x00000000,
+    0xfcad961d, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000016777216 */
+  { 0x00000000,
+    0xd09dfab8, 0x336ae384, 0xc691d74b, 0xaebcf937, 0xe8a4aef7, 0x4e5ce9d9, 0x44f2151f, 0x466289e6,
+    0x1958e8ce, 0xfa00271c, 0x53dba0de, 0x6d6c3a19, 0x4b1ec51c, 0x056556eb, 0xdc510f5e, 0x22de426b,
+    0x3a5a8f3d, 0xbd5d5e08, 0x747e94e6, 0x90f907bb, 0x7ecf7371, 0xd8ffd0c7, 0x979b5559, 0xebcb54b1,
+    0xbde1af6c, 0x823f2b9c, 0xea94960b, 0x09c9c0ea, 0x67132bab, 0xb12a7852, 0x8fb2b0f7, 0x2e69e963,
+    0xe79d7620, 0x30b8aceb, 0x59caf409, 0xcf677685, 0x0062d3c5, 0x77dc31fe, 0xae644e04, 0x93846817,
+    0x4fb36af3, 0xdaa812ee, 0x9e929d93, 0x49da5dbe, 0x43a650d4, 0x979e25d2, 0x51ba77ed, 0x92c082cd,
+    0x5ef8e8e3, 0xa48d969c, 0x0ff23f76, 0x8019baf5, 0xdb51f8f8, 0x3e801a41, 0x002ea0c9, 0x217da876,
+    0xb12a3864, 0x7f3fa19a, 0x8c843987, 0x9ff2e12c, 0xfce0f600, 0xba21851f, 0xd350c4fe, 0x92eb1395,
+    0xe45e5a81, 0x4afd1e6d, 0xd621390c, 0xf9c3b863, 0x37c0961f, 0x31fa4037, 0x5b86b0a7, 0xce84c58f,
+    0xbe1a9721, 0xd0d06dc0, 0xd56732ab, 0x4bfc547d, 0x1595e274, 0x1a770aae, 0xc4cbdf3e, 0x199f40cd,
+    0x9e8b032a, 0x54392dd1, 0x067c726a, 0x67408321, 0x211fb630, 0x89c1fc2c, 0x5d9f4ac9, 0x921f7051,
+    0xd88626d9, 0x90eec882, 0x7725ba3a, 0x6db18df1, 0xcc8c0bbe, 0x13eb3223, 0x96838ef0, 0x8502a14d,
+    0x4770ae5f, 0xf21f9001, 0xc184f6f0, 0x47b728d2, 0x15f49636, 0xdff5269b, 0xb4502302, 0xd6f04d6f,
+    0x17931641, 0x8f148db1, 0xec41a119, 0x83bbc05b, 0x2d41322e, 0x4668519b, 0xaeed4259, 0x76ebb442,
+    0xedca34b6, 0x277d22d1, 0xde786b2d, 0x2a70df38, 0x54eecc79, 0xd32a0718, 0x661b1ef1, 0xb85da049,
+    0xdc779908, 0xe825d166, 0x490f8c13, 0x9c018db5, 0xd07df44d, 0x81a11a06, 0xa9140f25, 0xacbedec5,
+    0xf1623dc2, 0xad632ac6, 0x8857c4d4, 0x8dceb5e9, 0xda868e4b, 0x6d801ff5, 0x7a8407b0, 0x62b49d15,
+    0xed6a7700, 0x71ce6c12, 0x9bf96d97, 0xbca30cc8, 0x318e86fd, 0xe4617665, 0x1ef3d7eb, 0xc9249a50,
+    0x7dfb4242, 0xb28cc1c7, 0x9b9bb13a, 0x73a0726b, 0x55c4a844, 0x2f31054b, 0xb52ca909, 0x20f65f0b,
+    0x8c9a01e6, 0xbf20fb41, 0x3cb29678, 0x2c6732fd, 0xf4435a9f, 0x941ac838, 0x884ae2e8, 0xe9fcf9bd,
+    0xc4e41a73, 0x36f688b4, 0x2a6c2fa5, 0xd2b57070, 0x8ed130b9, 0xda2910de, 0x5e09b048, 0xcd9a791d,
+    0x44d929b0, 0x3397ef3a, 0x3697de0e, 0x8bfc8e2c, 0x0ac3d490, 0x33c6ab34, 0x37af196d, 0x251101b2,
+    0x0c9a4b16, 0xbb37b398, 0x3b05b637, 0xd9e381ff, 0x0a36b68e, 0x2ff13491, 0x45962acf, 0x2f33ffd4,
+    0x6d817199, 0x3dfeadb6, 0xa17f497d, 0x58183ad6, 0xb40d46cc, 0x8f1364c0, 0xb15865d4, 0xaa1318bc,
+    0xb1b4ce62, 0x9c2ddd5a, 0x08ef2eb2, 0x0d864e69, 0x2db7d861, 0xbf6271b7, 0x352dc155, 0xeb9e37ee,
+    0xc229d970, 0x5c8639fb, 0xed4a52aa, 0x008bcd40, 0xb021a72c, 0xc1919672, 0xd8da1384, 0x4b5b6fb4,
+    0x559c39b2, 0x2afc1c20, 0x48e07823, 0x658b5b8e, 0x1e1cbd7e, 0x9eb46fb0, 0xc961a720, 0x581ee399,
+    0x63e01655, 0x68f3a455, 0xe30af9e2, 0x01148e2f, 0x8e2d9b5c, 0x77566e00, 0xb97e0450, 0x6f32f060,
+    0xe6410fed, 0x79642eff, 0x0c9f4b86, 0xad346568, 0xf3b70512, 0xec611ce8, 0x6d171831, 0x8a9b454b,
+    0xc7c96931, 0x23354c39, 0x96f0ac81, 0x20bb5650, 0x09e3545b, 0x3f14ca6f, 0x566d9a02, 0xd140650e,
+    0x5f8edc62, 0x969bfffa, 0x9fc960a9, 0xdd5075d4, 0xb9ec183e, 0xc8f2fad9, 0x2b4da5bc, 0x50fb9b49,
+    0xcc255994, 0xaa9f7407, 0xea0e2f5b, 0xbc3d6d8a, 0xe36f817c, 0x2d0a535d, 0xcbaf61d6, 0x8ff6a4f8,
+    0xcf0c4bc1, 0xe3eff571, 0x8f79c38e, 0xe28cb64f, 0xaf56faaf, 0x8ff9dd94, 0x152dfc4c, 0x8f5704d5,
+    0x14a318ea, 0xfb6fa072, 0x0c1bd42c, 0x0c086c5a, 0x34e06228, 0x1976195e, 0x7f5a8640, 0x2d317c3a,
+    0x2550ceb5, 0x55ba6245, 0xa90e8ece, 0x9e3deefb, 0x1bc80392, 0x4ca67742, 0xa634e310, 0xed512788,
+    0x20af6327, 0x0b616c5d, 0x0064d56b, 0x9b28e8d8, 0x4f286786, 0x33236379, 0xc6b806aa, 0xcadb40d5,
+    0x8db70ddb, 0x0f2e173a, 0x8fe2d8da, 0x076fa82f, 0x6cacfe80, 0x469f6efc, 0xd0597845, 0x203b192b,
+    0x34a89eca, 0x5f9784ab, 0x74b18418, 0x27b50aa9, 0x938a45bd, 0x56440885, 0x6fd48b03, 0x73c9e383,
+    0x7b0d1ac5, 0x23836ac3, 0xcd2c60cd, 0x49fd6583, 0x0387d5f0, 0xd3cb17ed, 0x9d0753ab, 0x3544a8ff,
+    0x3e7f446b, 0x99882076, 0xa376af95, 0xdcc7cb52, 0x12fddfff, 0xc2fa1996, 0xa7fa44d0, 0x16c3f5ab,
+    0x4620eea7, 0xf04c464f, 0xf24436f5, 0x4339454b, 0xfd506691, 0x3cf57729, 0x33ec229d, 0x41684dd5,
+    0x16783d71, 0x3e550cac, 0x42104f89, 0xfe4289a8, 0x69680d3e, 0x1ef56d35, 0x1977435d, 0xad19ba34,
+    0x1d8f098a, 0x3a72ea49, 0xe2379d80, 0x3c00a504, 0x082abf4c, 0xf786c1f4, 0x350266ba, 0xc4c7fd8a,
+    0x43df0e86, 0xaf8c1946, 0xace379d0, 0xc1e546d8, 0xdef42deb, 0x64693eb0, 0x6a4f0f8a, 0x4ac65a07,
+    0xe9c0374c, 0x6b357c76, 0x5d272645, 0xa53e60fd, 0xeab52fe4, 0x8fe05e56, 0xc0aad7a4, 0x5131fde8,
+    0xeb834e99, 0x8cc8fc76, 0x9361d91b, 0x34c6f006, 0x0aabfae6, 0x4aa7586b, 0x8fb89766, 0xfd60f880,
+    0x8b06c7fa, 0x3d23d904, 0x86d28dd0, 0xb7a5ca49, 0xd62f17b9, 0x837d218c, 0x36296814, 0x871e4029,
+    0x394dac9a, 0x4fd488b7, 0x30512e65, 0xfe01e44c, 0xb1047ef3, 0x162c8ef1, 0x112e1af8, 0x808023ac,
+    0x6ccb4c45, 0x92ebb3e5, 0xb1b234fd, 0x478bc1bd, 0x7dc36116, 0x6b75188c, 0x9166378f, 0x6acba67d,
+    0xbebd9197, 0xccb2c389, 0x57ad5626, 0x4998cbc7, 0x039d742c, 0x3d4794d9, 0x0ccc648a, 0xc34e6bc8,
+    0x3ad1ce6e, 0x0dcdc3d9, 0xb808a60e, 0x60d1889e, 0x280ed651, 0xa5e9bcf4, 0xfd07d480, 0xc0e79645,
+    0x1250de90, 0xcf04d499, 0x53269100, 0xaa6051ea, 0xb0ec18fe, 0xcc4f80ee, 0x627e06a1, 0xb1b8dc63,
+    0x23d047c2, 0xea97ce91, 0x80031b4e, 0x31827695, 0x2ecf40a9, 0x6741a80e, 0xec481101, 0x5af34a25,
+    0x569ac69f, 0x3a0796ac, 0xa0cb22c8, 0x72a6068c, 0xbade8b11, 0x004247bb, 0x6490323e, 0x4f9ce022,
+    0xeda11e2d, 0x46a111dd, 0x16462bd9, 0x30b697b6, 0xdffb88c4, 0xc4474848, 0xbde20b9d, 0xb73e5aa4,
+    0xb401d06d, 0x7b3cdee1, 0x288312a8, 0x91055be2, 0x8e9064dc, 0x0ea20f6a, 0xdf0f79a5, 0x2412d0f5,
+    0xe4b375d8, 0x6e0cce3d, 0xaffe0273, 0xdc84c2d1, 0x33c4e518, 0xfcc1b4cd, 0xf6ddbe2e, 0x2785db6b,
+    0xf78570b6, 0x6d86395b, 0xccdd5c4a, 0xe9da592a, 0x6658c867, 0x11f16680, 0x321114e3, 0x63a9b4e3,
+    0x12a355c7, 0xdae268d8, 0xdea155fa, 0x833e9180, 0xa8a746f3, 0x3cf2e7c0, 0x7e537d92, 0x42b127c9,
+    0x6096a1f9, 0xce81b231, 0x9a489e5e, 0x6579b79b, 0xb2464757, 0x7287f478, 0x49fd13fa, 0x51f18a76,
+    0xba4d4ee9, 0x0efa1a7f, 0x0c15642b, 0xd8fa1c87, 0x6da7b1ae, 0x2f6cbede, 0x399785e3, 0x08076003,
+    0x6dfb3715, 0x4a07d347, 0x4b28031f, 0x0a4de8ca, 0xf5339470, 0xbdde74c2, 0xc6d6a6b2, 0xb0e6e39a,
+    0xb60d0d2b, 0xe3fd78e7, 0xd06207ca, 0x7dfe125e, 0x3d3cf7da, 0x378aeb7e, 0x500a71dc, 0x4ff0ae0d,
+    0xaae7bddf, 0xec55ab29, 0xb7f17eaf, 0x40addd7f, 0x1760f438, 0xd90b89d3, 0x0d12ed17, 0xfbb4b2e0,
+    0x125ff8c7, 0xcbde3e61, 0xcb00f21b, 0x85358b65, 0xb2d362eb, 0x38a424b4, 0x6e562e30, 0xa8cffff6,
+    0xd524798c, 0x6f805109, 0x8d5b9249, 0xf42c578d, 0xdb525984, 0x00b31b85, 0x7c5f1afb, 0x9d9e8956,
+    0x2b71c375, 0x074bb438, 0xaae0651b, 0x4c328b5f, 0xfa1627e5, 0x252ee9dc, 0xab38001f, 0xffa68552,
+    0xc430bf83, 0x126e30a5, 0x436d8adc, 0x48f372c2, 0x51e647e0, 0x88c9192e, 0xaafddf7e, 0x16154103,
+    0x16e6be98, 0x16d70c61, 0x5678b00b, 0x3bc9f4c5, 0x43b8f754, 0x45c77b3f, 0x8d20874a, 0x7dd004c5,
+    0xc3257857, 0xb4eaceaf, 0xe04a3bc7, 0x76262875, 0xba0ba5b1, 0xe0d1400f, 0xc6da51a4, 0xb652696f,
+    0x78d94200, 0x75167d4f, 0xe4253755, 0xad6dc44e, 0xe9aa9015, 0xf2942947, 0x88ec1520, 0xcf34bd39,
+    0xcccd8030, 0xe0126b5a, 0x327a5fba, 0xd2d13891, 0x0a89901e, 0x288750dd, 0xb42f3e3d, 0x5678bbc3,
+    0xe024b58e, 0xf3612dff, 0x72e5bc57, 0xe1b11df0, 0x4d88f9a4, 0x94634a3d, 0x9fc8d3b8, 0x7a3d6585,
+    0xfc2a3c37, 0xfbdb47ca, 0xfe04b187, 0x4d142080, 0x26f125a6, 0xed396333, 0x1a0f00f5, 0xb23a267d,
+    0x105c4e66, 0x5c7a2c5f, 0xb6e47504, 0x87e32831, 0x4746c007, 0xc74a8752, 0x87f3ed87, 0x988dab96,
+    0x22025caf, 0x494e3f7f, 0xe64069a5, 0x55431e3b, 0xaffa955b, 0x00d0f31e, 0xd6307c40, 0x57f041cb,
+    0x61daeb37, 0xb491bddd, 0x7e4fe7c8, 0x451523c3, 0xcbaa2caf, 0x3d318873, 0x207255c7, 0xb4d71053,
+    0x4acb5b0b, 0xbe7c588c, 0xcc78db24, 0xdfc2f5cb, 0x8498b5c3, 0x1051b2da, 0xc56bd529, 0x551dcb16,
+    0xdb98b4b2, 0xf0f632fd, 0x6eac2b7c, 0x6ed4027f, 0xfabac43b, 0x09a151f0, 0x76169a6f, 0x14154ea1,
+    0x7ce8bd62, 0xb6606604, 0x51ac0d5e, 0xfdda9abb, 0xc7a8108f, 0xbd2c9fa9, 0x71806821, 0x2a042b93,
+    0x52b933cf, 0xf1e2544a, 0xc74b8230, 0xc70c61d1, 0xda771b6e, 0x27ce1414, 0xd0470ac5, 0xd8e436ad,
+    0x6177744b, 0x8eca5987, 0x94bfd078, 0x0aced2ca, 0x80e0a823, 0x6030a3ba, 0x5fce30b2, 0xeb695360,
+    0xc5823553, 0x70b15aba, 0x34fd24cd, 0x15556879, 0xcf1a9fc3, 0x175ee9da, 0xdb8b8649, 0x6c63c6af,
+    0x808de84d, 0x5da2e795, 0x7f0a1622, 0x07646221, 0x8a8dadae, 0x8e4366c5, 0x7327c23c, 0xffb8609b,
+    0xcd5fbfdb, 0xa60dca62, 0x431c1505, 0x40ca9d93, 0x3a604f4a, 0xf2ac9d82, 0x1791be46, 0x7c74a308,
+    0x34bfcfcb, 0x15a066f4, 0x3b259133, 0x91742792, 0x85f4329e, 0x805fd780, 0xa605828d, 0x0fec7c8b,
+    0x9c73e232, 0x32467df7, 0x133a8093, 0xaf379ccf, 0x2e4251bc, 0x894b08ca, 0xb11d72c3, 0x578f7e23,
+    0xf40421c4, 0x99d4511d, 0x8aefd3b6, 0x2dfee2bc, 0xed9276c9, 0xd2170f4f, 0xc8312fa9, 0x401f9719,
+    0x71f968c5, 0x27761af1, 0xb8932b17, 0x9b30b513, 0xb3b03d84, 0x2763112a, 0xaa56a9d1, 0xe3465e20,
+    0x55bc448d, 0x3b7a979e, 0xdbff63c8, 0xf0ee5279, 0xf873efc3, 0x320b978e, 0x90e0152b, 0xcd2aec5f,
+    0xecf1a54c, 0x75a46aa7, 0x8d4f2c5a, 0x93328363, 0xafa1c9db, 0x15d0c4f9, 0x98e0c2fc, 0xc365a45b,
+    0x5fadeba0, 0xfb6fefa1, 0xd52738d3, 0x0544de2e, 0x2f9ea28b, 0x6324c95d, 0x3d1487c1, 0x9d463de2,
+    0x62bf0e1c, 0xc9890074, 0x8eacff1c, 0xa33dc4b8, 0xba480a96, 0x89c9595e, 0x63da0672, 0xb88cdcb9,
+    0x3df8fb2a, 0x9e6d333c, 0x18d14aab, 0x8e473ba5, 0x4875f0b9, 0x4964ef33, 0x63d23e8b, 0xc098dbf7,
+    0x481c5b3e, 0x919c7439, 0x54f3d7e9, 0x62238253, 0xa2b459f4, 0xc073049c, 0xb9165c40, 0x021cf09d,
+    0xae504b84, 0x9ff26bf4, 0x3b80b76a, 0x23a7ae03, 0x4578ea1b, 0x767142ae, 0x6990908a, 0x15e22f96,
+    0xf39c5a66, 0x4c45acaf, 0x8fc687db, 0xa7c947ca, 0xafdf242e, 0x32e71d35, 0x920bcff9, 0x4d75eb4a,
+    0x0fcc3825, 0xf7a5a57a, 0xcba7e46e, 0x3ff3da1b, 0x172a80d9, 0xb6a53328, 0xa9ef823c, 0x50ccd779,
+    0xb345205a, 0x1f58fd33, 0x15adcba7, 0x56e7a94e, 0x3af6580b, 0x68125d65, 0xb4ba866a, 0x5e2eaa4c,
+    0x23ef8ca2, 0xf24474b4, 0xb29805f2, 0x89542fc3, 0x6520b85f, 0x66054a9e, 0xeb5d8f80, 0xa7b38f40,
+    0xc33f5719, 0xfbf60272, 0x5abe3c5e, 0xc5fe19c5, 0x83e87db2, 0x225a9bfc, 0x314c68b9, 0xd3d9bbec,
+    0x99777a40, 0x99c16aa4, 0x6fe2794c, 0xaceffe29, 0x6b01c116, 0xbb98c029, 0xe7127712, 0x66fded27,
+    0xaec0d6e5, 0x29472b0b, 0xc6fb2207, 0xf6a148a2, 0xeec65745, 0xcb256b8b, 0x5f81b1fc, 0x0da6a541,
+    0xf8c2f068, 0xf25eceaa, 0x2484e830, 0xb1e52b1c, 0x0d3dc39d, 0x9d639fd7, 0xcea91056, 0xbf1c7707,
+    0x71de6e79, 0x856d7642, 0xac780f8a, 0x0bdea18d, 0x8370f1b2, 0xeb8f7668, 0x85f49888, 0x1821bfc2,
+    0x40e9a436, 0xcdb363b3, 0x9fec5bf5, 0xfb631c1f, 0x464531fe, 0xa37faf74, 0x1c3dfd4b, 0xdcaded93,
+    0x61ce7bc6, 0xee0eaf3c, 0xf4b7a2a2, 0xd3681978, 0x345d5a5e, 0x85a798ed, 0xf01e8026, 0x3fab28ce,
+    0x2055216c, 0x53fedaf4, 0x1c475048, 0xcc4e13f8, 0xc4062332, 0x840854ba, 0xd4f63857, 0xbca01ce1,
+    0xe455d1f5, 0x223859df, 0xb1ac3937, 0x76ad10a5, 0x0efac300, 0x2bd82c8d, 0xaedbbebc, 0x2afb55fc,
+    0xd8dc082f, 0x65fc1994, 0x29a0103d, 0x963bbc8e, 0xcb67104f, 0x04c542a9, 0x6b24d540, 0xa42d4aea,
+    0xfe9f1307, 0x845ef2e7, 0x46073035, 0x09d6b3fe, 0xc40e2640, 0x2c4d9cbe, 0x29483a53, 0x468d1cc6,
+    0x7d03e396, 0x073785f8, 0xad2d78ee, 0x6a648a5e, 0xc0a6f20c, 0x402b98e8, 0xffb17a7c, 0x8e90e003,
+    0x38c5fa96, 0xa829fbbf, 0xb60910b3, 0x5a009a7f, 0xba4488d7, 0x4da1fbdc, 0xcee2cee4, 0x8e2b45a8,
+    0x1e09718c, 0xcf2c8d5a, 0xa722dd17, 0x93aab01e, 0x5760b9cf, 0x795f4da5, 0xc9d6b19c, 0xfc9677ec,
+    0x9a257644, 0x023ad9a6, 0xbc2c8b94, 0x1cf73925, 0x652b3016, 0x176b329d, 0x6c03858d, 0x991aa72b,
+    0x48d5d799, 0xa40a88bd, 0x8f044ab6, 0x7327c5bb, 0xef84d4cf, 0x91ba019c, 0x460ca974, 0x7532506b,
+    0x3f1f5cd2, 0xdc8befe5, 0x923ea48f, 0xecf241c5, 0x645df3c8, 0x6f748f97, 0x7ef5415c, 0x62be7386,
+    0xf7ac3262, 0x673f546e, 0xe9d1e536, 0x899767dc, 0xbe8e3868, 0x9312d66a, 0x0b9c1e47, 0x9d0807f6,
+    0x809fed2b, 0x79f7abe1, 0xc447a0bf, 0x6618b10c, 0xdaf946dd, 0x180aedf0, 0x20f19f11, 0xc23a9acf,
+    0x37e3acc2, 0x6289ea51, 0x35ddfd72, 0x1217c597, 0x8c65f892, 0xeece3c4d, 0x4a350ff9, 0xc8673fa8,
+    0xa9ade625, 0x04acd149, 0x77851430, 0x7fd99329, 0xfb348eac, 0x114bca85, 0x67f0dc1c, 0xdb465182,
+    0x28fdd36f, 0x7014eee0, 0x016f3953, 0x17aa5788, 0x271dc2d7, 0x39a7ba77, 0x6079c0de, 0x27bed9e9,
+    0x9302c88b, 0xb40c04d4, 0x8fa094f9, 0xdfffe46b, 0x3f63e1f3, 0x8876cc8c, 0x83396978, 0x7539cc68,
+    0xaec4c8c4, 0x57e42c71, 0x5578f8bf, 0x8b41b4d3, 0xfc602726, 0x1bc85226, 0x8356271e, 0x34ff8aae,
+    0x3c6bafb8, 0xde59e247, 0xbd99caa6, 0x2883cc92, 0xb5997bc7, 0x65a9adc4, 0xe93601e0, 0x031d84ab,
+    0xed0ff5cd, 0xfdd93864, 0x054df827, 0x9c87cd6a, 0x7b36c936, 0x47434a70, 0x34c36502, 0xa9d020e2,
+    0x00000000,
+    0xfe56cb0e, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000008388608 */
+  { 0x00000000,
+    0xaf3322d8, 0x2c9423ea, 0xb09e26c5, 0xf8d4daf1, 0xc9c9be00, 0xee0bc455, 0x6425886e, 0x53c5837e,
+    0xbd092937, 0x36ca3937, 0x2858a2c2, 0xa8e17d31, 0x289f2c8e, 0x59dea7bf, 0x235a3290, 0x522f1847,
+    0x4bd54994, 0x8ed150a6, 0x64a5ed53, 0x43fb99cd, 0xd99b3202, 0x342df7c2, 0x2a112aa9, 0x6b227a23,
+    0x15884d47, 0xdcbee2d3, 0x1c3ee23e, 0x079bff11, 0xcd57cbf0, 0x452c9d19, 0xf1816459, 0xdaebe794,
+    0xa85e9889, 0x5e09385f, 0xc753c0c4, 0x72d4d875, 0x6a3d910c, 0xf7cf3a7d, 0x2d1579f9, 0x8f38b105,
+    0xf1e2fda2, 0xcd891450, 0xba671e5a, 0xb684e1a0, 0x20de13e6, 0xf5ddfdfb, 0x6f692083, 0xa3cf54f1,
+    0x41f20ba9, 0x650c9c28, 0xb4cbe3f5, 0x83b8a8a9, 0x4439b9a6, 0x56372964, 0x3a094ac2, 0x76ac69e9,
+    0x09f9b1de, 0xabbd1ed2, 0xb4b95a08, 0xd8284cae, 0x1db83b9e, 0x9d1827e5, 0x1e3f143d, 0x067566b3,
+    0x1c92b50f, 0x9e89bf70, 0x134b46c0, 0xa34c66d4, 0x79f97243, 0xe5267649, 0xbec36e5d, 0xd8f93dc1,
+    0x36790f42, 0x6db5c13f, 0xae7a6d13, 0xfc8c0521, 0x64652a63, 0x3d430b0c, 0x334414d4, 0xcf500219,
+    0x1b21bee9, 0x69699559, 0xa2ddae60, 0xc3875fdd, 0x02ab051a, 0x3a79c7eb, 0x6a4aca36, 0xe4cc8fc1,
+    0xcd85b520, 0xe6753bda, 0x9c676d60, 0x221e19fe, 0xc2fbc51f, 0xa49156f0, 0xf8b7333f, 0x88ee3c8c,
+    0x755d23a7, 0xf7e6a7b0, 0x3d66f58e, 0x04e2c9e7, 0xf8f2f874, 0x3dcc742b, 0xa4de3780, 0x99879e42,
+    0xc3964e3d, 0xcb0aa234, 0x489922a3, 0x3a99b068, 0xf35fab89, 0x8836f22c, 0x808354e9, 0x52eda093,
+    0xf887f909, 0xdc101796, 0xdd4fe1cc, 0xa9b9c564, 0xfd569748, 0x99dff7c7, 0x4b711abe, 0xee9176ac,
+    0xcfa235f9, 0x87e672b0, 0x6e25a4c2, 0x47588ec3, 0xb6de088f, 0x93e64b23, 0xc2e0da79, 0x1df7a9a1,
+    0xe8054f97, 0x86125b43, 0x2b84a8e8, 0x7b973a01, 0xbaa83e63, 0xff094f92, 0xf9a82600, 0xa25b44b8,
+    0x20bfcaa3, 0x7d185a89, 0x843fb3b9, 0xe96dbd17, 0x00b403a5, 0xac1ea68a, 0x102516d6, 0xddce0eb7,
+    0x72853271, 0x6c0d785f, 0x10fccab5, 0xe440f642, 0xbf5b73cf, 0x059d3f1f, 0xc3a32800, 0x4996802d,
+    0x550dc08b, 0xc7077ecb, 0xc14eae4b, 0x3a1828dd, 0xd2d67fc4, 0x75afbc60, 0x0f365098, 0x8a8aca11,
+    0xcc40d486, 0x800f77f3, 0xa0a035f0, 0x4882583f, 0x7456800b, 0xff166df0, 0xb2a8708b, 0xe4b6b4e1,
+    0x8622919e, 0xa810f0bc, 0x28ffc7c7, 0x6efa71ab, 0xbeb374ec, 0x4b8b3da7, 0x9bec8518, 0x247725f4,
+    0xaa2deb4a, 0xfdf689d6, 0x42629837, 0xf18174e5, 0x9891c4d7, 0x51f8b2af, 0xf1347457, 0x52e1a71f,
+    0xb87f2035, 0xed69cbc8, 0x6adbc802, 0x042d060e, 0xc66ed9dd, 0x16addb3a, 0x7e175820, 0xbb525d9e,
+    0xea467ac6, 0xb1e41e98, 0x53e91af8, 0x4a84283f, 0x72c2e7d0, 0xebfb1bda, 0xe6ae3059, 0xad1743f3,
+    0x8ea8e7c0, 0xb8183715, 0xfd546cbf, 0xf88ee2ee, 0x204d51e1, 0x9df25af3, 0x36210aba, 0xfcac6ac5,
+    0x3855aee4, 0xd8efabc7, 0xeeff752f, 0xffd00d0c, 0x058eecce, 0x6a3ff09c, 0x100dab3b, 0xf54b8a05,
+    0x14e8aaf1, 0x8d609291, 0xf01eb843, 0xa4c86f22, 0x0f349cc3, 0x07227878, 0x9ce7520d, 0xe9fea053,
+    0x92ce2793, 0xbfdd12d7, 0xae707b39, 0x82c1b132, 0xd371940e, 0xdab6dec1, 0x41fff887, 0x10cf6564,
+    0x39fdd29b, 0x70c40a75, 0x402e5260, 0x4d8b95b1, 0x9a6592a4, 0xd4a5327c, 0xdae4717c, 0x2a3b7853,
+    0x74188c0c, 0x03f1ad81, 0xf620db39, 0x12e202f0, 0x558d75e5, 0x9c5c333c, 0x5a00b4cb, 0x7dfc82c7,
+    0x1650777b, 0x0b66fd6f, 0x255593a2, 0xff12c52e, 0x73be8e00, 0xd047930f, 0xe49a5ed5, 0xe13071ab,
+    0xea3d40ae, 0x147ccec7, 0x3e34c6ef, 0x48635834, 0x78f35d3b, 0x1d84c466, 0xeb254b7d, 0x68aa6fa0,
+    0x416c7f80, 0x4b661ed7, 0x34b1fa08, 0x062d3c98, 0xe2976ba2, 0x8d62f525, 0xda03d52f, 0x517014a7,
+    0x99a05aad, 0x1f2e60d5, 0x5d43e54c, 0x1db52166, 0xb20f5e28, 0x662cf25d, 0x0a21356f, 0xd1a62ca4,
+    0x36afad90, 0x5eb97e6e, 0xc820f123, 0x1d85a89a, 0xf709fccb, 0x53518500, 0xcacf8b20, 0x93f07353,
+    0x8225d802, 0x5db67151, 0xedf01d8c, 0xc82701a9, 0xdeac8628, 0x72077d17, 0x54c7426b, 0x9c77c7d1,
+    0x182b0905, 0x4cae4cae, 0xc3fd4e81, 0x44825383, 0x59e16371, 0x29330460, 0x3980338c, 0x303026c9,
+    0xf3daf015, 0x6068e5ed, 0xe05ed28f, 0x960b347c, 0x4fedc961, 0x4fd861be, 0x9fe7cde9, 0x97ed072e,
+    0xe0f638ed, 0xebb26747, 0xa37b9b3a, 0x33608a3e, 0xc8c78775, 0xa9a6691f, 0xae28723a, 0xb35527e6,
+    0xd0f625a0, 0x13d1a3dd, 0xfe17a581, 0xc46c08c0, 0x07c112f9, 0xe0336243, 0x3e798ea3, 0xeb6f2a45,
+    0x03f9c536, 0xc8570d73, 0x4eced290, 0x7c94e591, 0x38665afa, 0xc4ce2b50, 0xedb0e17d, 0x951e82d2,
+    0x850a3dbc, 0x8a25fbe1, 0x4ab05583, 0x40a946b0, 0xc16d7a8e, 0x2bd8d52a, 0xea95a5ef, 0x7d653970,
+    0xc794f185, 0x0196c5fb, 0x2b98d413, 0x994b502b, 0xfa9f1b57, 0x36dd08f0, 0xc75fa21b, 0x39a9c003,
+    0x9984a40a, 0x8f0ea699, 0x59dae4e6, 0x90b09919, 0x91a0f429, 0xe86b5165, 0x2da4128d, 0x56f2bd66,
+    0xe1af5a5b, 0x60f498db, 0x17326dbc, 0x7c63b7a5, 0xb9eac0f3, 0xb189f679, 0xb804ed43, 0x12554445,
+    0x9b21f20c, 0x3b5908f4, 0xeda2ecd1, 0xca3a2982, 0xc48a6e4b, 0xf3f8bc74, 0xd75abd85, 0x3d5c662a,
+    0x38d3c526, 0xb59a1d78, 0xcf6cbde7, 0x90dd9fb1, 0x514bce7c, 0x1e2994f0, 0xe67223bf, 0x29a0e703,
+    0xa1a962be, 0x716e981d, 0xda0b6280, 0x5a885a8a, 0x11e798e0, 0xb8a5f54b, 0x346a6e92, 0x249e982b,
+    0x6fa5913c, 0x5aff0b0a, 0xf871db66, 0x50b4c1a1, 0xbc6a8da0, 0x7db63afa, 0x0733d744, 0xaaa7d2ff,
+    0x30ae60bd, 0x3784c990, 0x022671f1, 0x1a0ebfd1, 0x2afaa6ec, 0x6f2f472b, 0xe4f57e98, 0x8c5ecdc4,
+    0x4a786a8a, 0xdb2d0ee7, 0x7f5abf31, 0x7bfcceb4, 0x2f5f2e99, 0xfa57c80b, 0xebfaa759, 0x51844c37,
+    0x3e5aa4ca, 0x5d341001, 0x6c3b249a, 0xa8bfc762, 0xc198e491, 0x90d9b2b9, 0xca297ee4, 0xba95cb4c,
+    0x8937e2fe, 0x344a501d, 0x36f15c91, 0x2a651cd5, 0xdcb321ef, 0xa9667573, 0x87246e95, 0x91f447c4,
+    0x6b31646a, 0x4930acb5, 0x23978913, 0xa5f0d7c4, 0x53cfb4f9, 0x23900e7a, 0xfdeb3870, 0x5b7161c8,
+    0x0819204b, 0x5e8af5f5, 0x46a4f6b6, 0x62625e7b, 0xb181da37, 0xb5715320, 0xed1244cf, 0x34053867,
+    0x03e30677, 0xa982a243, 0x073e1523, 0x894ed52a, 0xeac31961, 0x36da0cb9, 0x22afa543, 0x483644af,
+    0xc430f311, 0xdc309a1a, 0x941b1139, 0xf4b19c8e, 0x0b32fafe, 0x976514e7, 0x48e32f3f, 0xfc5f7d13,
+    0x83230eed, 0xc48acf40, 0x3ad0b334, 0x16bb0461, 0x57d071a5, 0x8877cb69, 0x51acb731, 0x5737144a,
+    0x61fd0dee, 0x4fd6cf9d, 0x4bd8de4f, 0x448fdef9, 0x7e2430f3, 0x94ba5d1a, 0xae276201, 0x04495db7,
+    0x4dec44d7, 0xc879a18a, 0xc6173b04, 0x38ea7023, 0x75c56c26, 0x056d2a9a, 0x1b3bdd51, 0xa33fc89c,
+    0x9ee3823f, 0x32dde2da, 0x28081fb2, 0xe9e67b45, 0x2b5685fe, 0x3b1a93cb, 0xd1aba50a, 0x93ea5d9d,
+    0x1458810d, 0x5186854a, 0xaec4b48e, 0xa0da3568, 0x084ece97, 0xce0231e0, 0x49e16d57, 0xfde2b4b1,
+    0xc8e5369b, 0xb5cfa854, 0xf65cff22, 0x3ae3caea, 0x3d95fbcd, 0x5d734f99, 0x2890b96a, 0xa65bbfcd,
+    0x746b08a0, 0x6dce622a, 0xe2e84c8f, 0x3e9a1c14, 0x8be96504, 0x575a63fa, 0x1cde3221, 0x386e4e01,
+    0x4bf98c18, 0xd7a3c5c5, 0xbb0f9fc8, 0x13ad2583, 0x9c093cc9, 0xa2e59972, 0xa28e21c5, 0x1d41f6b4,
+    0x0d55ffe9, 0xcba4ba1c, 0xe16d2cf5, 0x2a455b51, 0xa905f86f, 0x362fe99f, 0x55f9ee11, 0x4074c58e,
+    0x0812a3ce, 0xf98e7d28, 0x60ddac86, 0x6844a85d, 0xb40befb0, 0x823a08fe, 0x14d89f27, 0xc63ee749,
+    0xa1bb79f0, 0x908b7ece, 0x3f0ca77e, 0xe31b18b6, 0x3e919ca3, 0xf4a0ba3f, 0xd443cf25, 0x32e904b4,
+    0xfca006e0, 0xd8811415, 0x5453fb29, 0x554cd2c8, 0x2891f696, 0xf02e1a17, 0xbec4316f, 0xe717aa40,
+    0x7b2b380e, 0xba5fbbe2, 0x22fe851a, 0x5bef9885, 0xa1da5b4e, 0x15b8b497, 0x5e41932d, 0x9abc5bc0,
+    0xb728ef03, 0x1ca5da36, 0x11358831, 0x98e95ddf, 0x1c646780, 0x0ce9d847, 0x1f1464ac, 0x49d4dd6e,
+    0xd8cbfc26, 0xd947140e, 0x57139f6d, 0x00df7217, 0x2051754a, 0x7542b66d, 0x3d6c6f56, 0x528cf00f,
+    0x280e1f44, 0xdfd24899, 0xf9b4f8aa, 0x8d064dc1, 0x6ca357fb, 0x8f392bff, 0xf713cc31, 0xd5fa2fd8,
+    0x4835c1e9, 0xd1a56cb0, 0xfd1d6615, 0x97b9cc2e, 0x5c4acc02, 0xbe696816, 0x4d42df5e, 0x4cf66bfc,
+    0x7b415db6, 0x9c232850, 0x8c5a4753, 0x07597d22, 0xb89596a4, 0x21e34d60, 0x18cb80c3, 0x54394b1e,
+    0x51fd0e84, 0x1ef62fb0, 0x4350caab, 0xd390ce9d, 0xfce4733a, 0xfdd8b16b, 0xe314aeaa, 0x41810072,
+    0x6acd9fc7, 0x3ffd9374, 0x273f55eb, 0x475b6b69, 0x0e793e20, 0xb8654765, 0x5d67acab, 0x9ed9f28a,
+    0x2e249428, 0xfea22fe3, 0x1aa723e5, 0xa2a993ef, 0xd5dc3d86, 0xa7c19de8, 0x0308b9a3, 0xa363f409,
+    0xb7de9797, 0x7a7fba24, 0x2bba8ea5, 0xae9f711d, 0xaa822151, 0xf9b60be0, 0x49b99684, 0x1f4e8e64,
+    0x77538cee, 0xa1f1932d, 0x03c14d91, 0x1d41c1d5, 0x43472c28, 0x2e483469, 0x5249b394, 0xda825c3b,
+    0x5490ecfa, 0x03960844, 0xd040d6a6, 0xc0099804, 0x29ba0728, 0xd39a959a, 0x974228d9, 0xc88667bc,
+    0xf1fe0158, 0x081d2207, 0xb6225561, 0x81845454, 0xa081a9c7, 0x48f2d8d6, 0x0769330f, 0xecc3ad1f,
+    0xe74e66eb, 0x1936c516, 0xff7d98a0, 0x3c0eff2d, 0xaa4a6783, 0xa8b33919, 0xc0ecc94e, 0x02867e22,
+    0x2526657c, 0xc2075fd5, 0x062015d2, 0x19e0b6e8, 0xf15b6e70, 0x8547e2d2, 0x84e4b619, 0xabb7b041,
+    0x50d6ef17, 0x64aad672, 0xe23a351a, 0xe00ad16f, 0xecbb8b1f, 0x494ec8bb, 0x5082dc80, 0x60d7ce7e,
+    0x97105487, 0xf639566b, 0x8f929381, 0x146d1c16, 0x5804f498, 0x4286d4c3, 0x2517894b, 0xae7cce76,
+    0x3712cfa2, 0x32409b90, 0xdb2a69b7, 0x5f2efc06, 0xd15d06f1, 0x0458e8a7, 0x683f0068, 0xb0a78e4f,
+    0x049f0d8e, 0x4b4319b4, 0x78b76c45, 0x8806c0f5, 0x546ddd74, 0xc14b0cfe, 0xc8243b68, 0xc55b96c1,
+    0x1e3adbfe, 0x77f4e3e2, 0x7aa583bc, 0x27c5d703, 0x7390b35b, 0xb6a27ebc, 0x985ae7d0, 0x2182a004,
+    0x65c3e1ab, 0x66529029, 0x13a3d0ae, 0x9673ad96, 0xdfa35b8a, 0xa945c46a, 0x6f378571, 0x79f482d0,
+    0xd146d000, 0x91e63e09, 0xaef1c89e, 0x784d1aa9, 0xbe6d53ef, 0x3f7c64c4, 0x9a022b10, 0xa00e19ab,
+    0xc711d24d, 0x51fe07fe, 0x4f9794bc, 0x4ca767c4, 0xb5e63073, 0xa03320e9, 0x2c5e86a0, 0x5293a7d3,
+    0x9ad80879, 0x10f88574, 0x405c6599, 0xeb59d086, 0xd471cdd1, 0x2fc26a6d, 0x94bf00ec, 0x25227c89,
+    0x7a3c5aec, 0xe2f53d6b, 0xb1932ad8, 0x19eb36bc, 0x7e492df1, 0xbbaac5b3, 0x11b7bb50, 0xf9769d67,
+    0x505e5600, 0x744b31e5, 0x70a1a74e, 0x51af116d, 0xecbb870d, 0x7e174f75, 0xe8f212d1, 0x8ff9c30c,
+    0x920cb725, 0x07d028a1, 0x8e862068, 0x54f2c02a, 0xb15d42c0, 0xe9d512fc, 0x249f8fcc, 0xd7edbe16,
+    0x370ca420, 0xcf598795, 0x3358fe0f, 0x7ecf87e5, 0x7e4ec6c2, 0x0172ad25, 0xbde788b2, 0x54dba62b,
+    0x4c8aebcf, 0xb3cc34db, 0xd3d62d03, 0xfa0e0221, 0xa0512d0b, 0x26104d2a, 0x83d331e2, 0xb77fd6ed,
+    0x44ea46a7, 0x3e295d62, 0x29e2677e, 0xb86738d7, 0x94563f54, 0x4de8c957, 0x2ce6145d, 0xf5dab67a,
+    0xd38c8963, 0xc7a72194, 0xdff5481a, 0x54583789, 0xddc9d473, 0x61cb0773, 0x131b8719, 0x96dd0470,
+    0xd1a48fd1, 0x32dd158a, 0xaeae4f3a, 0x289adc8d, 0x47bb157d, 0x297be14b, 0xe804169f, 0xb56f4165,
+    0xeffbe01e, 0xa933c0b3, 0xb1e4f62d, 0x855eb997, 0x556ccc65, 0x8e639b6d, 0x5f79f765, 0x301000a0,
+    0x720d27cf, 0x76ba9204, 0xe3340e9b, 0x162a8707, 0xae06520c, 0x26401ba9, 0x5c272560, 0xa7d97a5f,
+    0xf45bcd8d, 0xa8280dcf, 0x58ff16ba, 0xc6f2fdc8, 0x8880948b, 0x3bfee9d2, 0xc2345c80, 0x88f93613,
+    0xd1dc7e2e, 0xa5cd948b, 0x37620147, 0x33a70317, 0x01e2ab6a, 0xdfe5a307, 0x4f09d4f8, 0xc7296bed,
+    0xfbd60179, 0x434839cb, 0x002d08f7, 0x16600ec9, 0x53390722, 0x5b4ad7a3, 0x8fd9c964, 0x34a323e2,
+    0x3c6ff3ed, 0xaf07211f, 0x68241f5b, 0xb57ae9e5, 0x0e8e6cdc, 0xbcd7a444, 0xc00d96c0, 0xf1171b8f,
+    0x5d02d482, 0xc0b73fa0, 0xf50174bc, 0xbecc68b6, 0xfd796446, 0x1481127f, 0x4c8a15d3, 0x418da722,
+    0x1448bbb2, 0x9ac456a4, 0x7fd4f569, 0x0b9c7235, 0x519c4cd4, 0xfda14763, 0x158e7671, 0xf0205a2b,
+    0x705aaba9, 0xe74a0081, 0x28281020, 0xcdfd66f4, 0xd325455f, 0x1a64e134, 0x2197a0fe, 0x5bbaa36b,
+    0xf81f1185, 0x61e38558, 0xfcd62a72, 0x5080a355, 0x9c0d544b, 0x2dd2bd9f, 0x7651c0a2, 0x586233dd,
+    0xf0bc7c0b, 0xf58b5f92, 0xe9ba8f88, 0x95bb035e, 0xd5d36a1e, 0x36a7d16a, 0xb7c0d6a3, 0xbbed112c,
+    0xa076178f, 0x99115ac6, 0x99125073, 0x703af4ed, 0x209d681a, 0xa6e8a242, 0x9fc82452, 0xca9111fe,
+    0x5e417ff1, 0xb7bbccf4, 0xc183c13e, 0xb54f3c04, 0x35431bcf, 0xe0e492da, 0x2255cf6a, 0xe3e1420d,
+    0x43d34bf8, 0xea79d17f, 0xdff3e057, 0xdc16a065, 0xdb1079c4, 0xf8a1f90a, 0xad4e7a5e, 0xafdc8b2b,
+    0x4d40ee51, 0x67efb318, 0xe530c414, 0x02dda927, 0xd576aaa5, 0x22b77854, 0xce15289f, 0x704dcec4,
+    0xa1ee7890, 0xafd10495, 0xbca5dfd8, 0x460439da, 0xcf54f5d7, 0x63072cc7, 0xd97d5b4c, 0x3d427626,
+    0x1a137e96, 0x4815e2c1, 0x598000db, 0xe4d1f5bd, 0x5ef141ab, 0x5eca0d4f, 0xbab3ef40, 0xba67663b,
+    0x1880cf0d, 0xa1ed9cb4, 0xcb5216af, 0x68ce593f, 0xcc6e09df, 0x41e38cf9, 0x8ed70a96, 0x48ea3594,
+    0x8868f3cf, 0xa0f45fe4, 0x2ed8fee0, 0x095e46a6, 0xc1e988dc, 0xe5b6fd69, 0xa10cb463, 0x7b8830ea,
+    0x911e043e, 0xb9205e0f, 0x7abe3dcd, 0x3fa245ac, 0x147e6c12, 0xcb321e52, 0x20ffa041, 0xba9c5bb4,
+    0xe8258ce9, 0x0786e858, 0x53539405, 0x008dba3f, 0x245cb42e, 0x7a917441, 0xa34e3d60, 0xbe022d2a,
+    0x7e7f39bf, 0xb1b0b15e, 0xa0ddca78, 0x8a6befdc, 0x38295d74, 0x8d146fe9, 0x66b30f0f, 0x2914f37a,
+    0x70ab06ac, 0x4f5bbfe9, 0xef21ef55, 0xa3b527dc, 0xdb7ef117, 0xcba67b06, 0x422decc1, 0x6ae3227f,
+    0x92797fc0, 0x8fef4a4e, 0x436faed8, 0x581ed04f, 0x6e270b32, 0xced72f3a, 0xb99b9db0, 0xd07fece5,
+    0x00000000,
+    0xff2b6586, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000004194304 */
+  { 0x00000000,
+    0x8a733357, 0x8042296c, 0x7c22b07e, 0x580d590c, 0x925ae298, 0x4479d4ed, 0x7f066b54, 0xcfe58887,
+    0xfb6faa5d, 0xeef70dc4, 0x17f73861, 0x3ac62ec5, 0x8f6d918a, 0x99db6348, 0x06a3ee61, 0x815ce9fa,
+    0xff8ae154, 0x73049e61, 0x4c6a6ef3, 0x38bdf952, 0xd1b54830, 0x906f4e7d, 0x92543e2c, 0x95839548,
+    0x6d3bae58, 0x7ac6bf67, 0x109dc9ba, 0x337fcc94, 0xa30e2f95, 0x9431dead, 0x0383a52c, 0x2ddcd223,
+    0xedadea30, 0x4fa8cafd, 0xed759b06, 0x33e97133, 0x837b9bde, 0x5110f36e, 0x887fcdaf, 0x3436a8ff,
+    0x96941f76, 0x2fb30ae2, 0xc9688ae4, 0x04db8fb3, 0x33346e72, 0x3ec6955f, 0x92525b64, 0xd99217cd,
+    0xbfda4efd, 0x50be903e, 0x77c98fe9, 0x196be29c, 0x575efbc8, 0xa44af182, 0xa957d71a, 0x7b924896,
+    0x98380950, 0xebd836f0, 0x21cfc141, 0x87ca8038, 0x53e6cb2b, 0xc4e76fb8, 0xb2e33133, 0xde513a76,
+    0x85d111f7, 0x621a25b3, 0xf8fb092e, 0xedeff708, 0x8f6375a1, 0xa71a5d6f, 0x03fc8916, 0xc7c522e8,
+    0xddbf0036, 0x3cd93b53, 0x159bf226, 0xd419bc44, 0x2a024764, 0x946bf101, 0x7c81d91d, 0x742e77c7,
+    0x22d8be02, 0x01cbee05, 0xddfc6b10, 0x11093eff, 0xf6808628, 0xbb0dfd28, 0x9dab0c95, 0x483a3b31,
+    0x922a3d6f, 0x2c2ad004, 0x4b4df086, 0xb9bf2256, 0xc3ebd5c1, 0xcb5292e0, 0x935957f2, 0x259dcca3,
+    0xe941ce72, 0xfeb995ba, 0x0d8174e1, 0xc41ae18c, 0xe0d4a0ca, 0x3ce9b53a, 0xf69a1b21, 0xf4348877,
+    0xc464c520, 0xa3b6d141, 0xc38238c9, 0x0d48dc26, 0x0a3fbd1f, 0x94d3ab55, 0x7ac134d9, 0xf45e1c6b,
+    0xea1f4da3, 0x1df8c22d, 0x0788b7ed, 0xb1e02a15, 0x7b40cff4, 0x787d6feb, 0xef1e99f3, 0xa23b2a10,
+    0x81217a00, 0x03d1709f, 0xd90acbef, 0x17383cd3, 0xebd29fa4, 0xba43ebfb, 0x7e3b4648, 0x2f550ae7,
+    0x0f7b0934, 0x9550cf78, 0x9c9a0432, 0xbcd0638f, 0x0b0fcd79, 0xdc556544, 0xdad04eff, 0xe52e2d1f,
+    0x62864df4, 0x9d1f0485, 0x780cf622, 0xac1f4294, 0x109d4f53, 0xd91467e0, 0xf9215e97, 0xfaad1da2,
+    0x8018d16c, 0xd862a63f, 0xe0bdf019, 0xc40f5392, 0xfecf4cae, 0xb9485cdc, 0xb526fc36, 0x430ea4a5,
+    0x434f8ba8, 0x7151522c, 0x44ac22fe, 0x18d27f6d, 0xbafe76b6, 0xeb1e8292, 0xe134b308, 0x594136b2,
+    0x09869938, 0xaaff22a0, 0x36c89a2b, 0x22f233cb, 0xf83090ff, 0x0aa2e314, 0x1332846e, 0x9bffcb0c,
+    0x583e64b1, 0xac4932bc, 0xd51da684, 0x306ad59f, 0xe18aa575, 0xd30bed02, 0x27bae1e6, 0xb59dcdd9,
+    0x9088abb2, 0x15fe2b92, 0xc9cdcd96, 0xc919fa1f, 0xcd6f98b6, 0x6a2b368e, 0xb4ffb1e4, 0x39c99a11,
+    0xde263d58, 0x0c7d56b9, 0xfed140df, 0x71fa7f39, 0x2ec2a7f6, 0x54790ce7, 0x0f03a5a0, 0x7e62cd52,
+    0xae32ec5e, 0x07fce21d, 0x2a606c31, 0x2d41aec0, 0x446918c9, 0x5ba8cda6, 0x3d2e9801, 0x9bf51c68,
+    0x7959af28, 0x95afd0a7, 0x10ff7069, 0xccedbc1e, 0xa0029d90, 0x99c281d4, 0xe789928a, 0xe0e84367,
+    0x434f9167, 0xf1191ef1, 0x2ea919b7, 0x3dde410e, 0xde7c9b48, 0x55d0edb4, 0xe602ae63, 0xa62ba297,
+    0x75ddbd33, 0xea33034d, 0x31fd4510, 0x2d2dfeea, 0xa690ed6f, 0x10eae798, 0xeffdc0a9, 0xf547a065,
+    0xa66c0ea6, 0x3107f18b, 0x22bc575a, 0x0b4231cc, 0xb1bec162, 0x4aea032c, 0x3503ea3c, 0x619128a2,
+    0x2881570c, 0xff5549c9, 0xca4b6bbe, 0xf29c8c37, 0x2c21d294, 0xfa4447dd, 0x899b132c, 0x05721825,
+    0x45741acc, 0xb1578109, 0x54830352, 0x0c9a63b3, 0xec829419, 0xc426490e, 0x853ebfe4, 0x91b20f5b,
+    0xef89b409, 0x568c765f, 0xa6049e40, 0xe86b09f9, 0xf4ec269b, 0x7558efb3, 0x7cac0a0b, 0x087730df,
+    0x7dfffef0, 0x7724e72e, 0xe66311c8, 0x23af8123, 0xcc744062, 0x4a58f4d9, 0xa79cfab4, 0x9d31807b,
+    0xd12df25c, 0xc987fbec, 0xe79d9e0c, 0xb45d6f20, 0xe82d9a22, 0x03580908, 0xb3d865ff, 0x29a8c489,
+    0xca1eeb55, 0x7cafa12e, 0xaa9b6740, 0x578e1e31, 0x760bc14b, 0x40609424, 0x5c41fb46, 0xda41cab8,
+    0x45e6467d, 0x2aa7f678, 0x74fb8a96, 0x46874bec, 0xccd9cd95, 0xe1643561, 0x450b4038, 0x8d27f075,
+    0x421ffe98, 0x2dc9fd77, 0x55cd371d, 0x55245084, 0x2f332ad3, 0x8e74cb0a, 0x95c5617a, 0x87a0a157,
+    0x5cd7e36e, 0x17d8732b, 0x1dbf0aa0, 0x16be1d08, 0xfcd9cbad, 0x9837d47c, 0xa5869c06, 0x7982ffe5,
+    0x5280b203, 0x1839f75b, 0x40aaa9bf, 0x38b47f50, 0x2750c093, 0x4292e4f3, 0xc2d5b839, 0xaa3ebecc,
+    0x60e02c81, 0xb30b860a, 0x797e6a29, 0xc153d671, 0xb1a073a3, 0x37d56675, 0x4edf3632, 0x4a1eb762,
+    0xdb109a35, 0xc751f11b, 0x3c51d744, 0x6077215b, 0xcdab9015, 0xd3e6f704, 0x353caf60, 0x3a70595c,
+    0xe83f155d, 0xe3da62de, 0x03bd4ef9, 0x1c36982b, 0xada80d01, 0x9519eb92, 0x0323c123, 0x751cf4d3,
+    0x50e89401, 0xdbf7cd4c, 0xe07b28c9, 0xabbfc539, 0xbc2816fe, 0xdd45a38b, 0xf95c5461, 0x02daa80e,
+    0x88f00d90, 0x53d32719, 0x543413c1, 0xb25d3184, 0xef06a2ec, 0x2d6344ed, 0xc9ba4380, 0x9abcb2dd,
+    0xa39e0d82, 0x6216a0f9, 0x3b224120, 0x15292ae2, 0xecea9742, 0x92cc4245, 0x09be0e53, 0xeff5589f,
+    0xfd3134c9, 0x6c0782ff, 0xeb691ba7, 0x4277cf1a, 0x6ded0076, 0xd38603e7, 0xd30ac6cb, 0x6a2e1891,
+    0x51bf3bbd, 0xb7a1fec9, 0x042dc3bd, 0x332645ca, 0xd02f7ac3, 0xeae9bca9, 0x65317e2b, 0x53cb3c06,
+    0x8327db44, 0x64b8ba59, 0x2ac36212, 0xd277892a, 0x6faa0b74, 0x9f5bcd5c, 0x980914c6, 0xf23cd024,
+    0x29c7543d, 0x0556e705, 0x08a50396, 0x6777ceab, 0xf856e43e, 0xef023283, 0xed3d6124, 0xaca00a4e,
+    0x8956eb7d, 0x5b704d6a, 0xbd08c9c2, 0x2438f72f, 0xb0c481aa, 0x7621e435, 0xd5828796, 0x6accfd03,
+    0xe32d3f8c, 0xbb3b4219, 0x87f3f158, 0x5bfd9eef, 0x5c1ced36, 0x82b1ae25, 0xf227ef28, 0x2564d6a2,
+    0x1f81be22, 0xef664acf, 0x4c9f2af5, 0x7ee07538, 0x99c7554d, 0xbb42a0b0, 0x006a1b15, 0xb17072fb,
+    0xfe24f8bd, 0x5772908d, 0x1ecbf2ff, 0x92b2f690, 0x6e8096a8, 0x111400db, 0xb81ba507, 0x5365a60a,
+    0x85026674, 0x22d8dd04, 0x6bcb87a0, 0xaffbecc0, 0x59efa9df, 0xa092f4e4, 0xdff14057, 0x4964575d,
+    0x160ac5c0, 0x84a53c52, 0x49983327, 0x12f4622b, 0x0e4a0866, 0x75487786, 0x943aeaec, 0x07dec4cc,
+    0x4ea4055f, 0xb67476f2, 0x05cdd6d0, 0x6b0e3fe2, 0x79fb2d88, 0x8ab4e159, 0x483950ef, 0x22af4396,
+    0xad57ebf1, 0x89a7734c, 0x58332cc2, 0xfe38c7d4, 0x1e91b783, 0x1eeafbdf, 0xbd02039f, 0x38ba0780,
+    0x22d398c7, 0xef926b9b, 0xbe6dc950, 0x62bb3476, 0x14d6559b, 0x69badf0a, 0x3089c4a9, 0xe678f7ef,
+    0xcff62f46, 0x534d2eee, 0x1df2a29b, 0x02e6e7ea, 0xdd42ff41, 0x7f417bc8, 0xfdb551c4, 0xc85cbfb4,
+    0xd683417b, 0x196963a1, 0x7a0275ab, 0x089e4b52, 0x2c77df1d, 0x42c7f5e3, 0x05f40c44, 0x8043a7f5,
+    0x7de76bbc, 0x3d6d70f6, 0x0512b715, 0xaee35d7e, 0x29249608, 0x7525a36a, 0x0e09d1da, 0x3f68c07f,
+    0xdd204418, 0x076e71c9, 0x2619804a, 0xfcdf1599, 0xac87f4e9, 0x18f53cd4, 0xab8bac7b, 0xe83bcd08,
+    0xf2893ddf, 0x54b1eacd, 0x5ad2cdcc, 0x558d3136, 0x7e754ab8, 0x7dcdc32a, 0x5418f4a4, 0x7ca2c7e4,
+    0xb8e52520, 0xb1abf77a, 0x568a4f75, 0xae07e10d, 0x6626f24d, 0xbec26779, 0x4e2e9dbb, 0x02dc681f,
+    0x480e2eb5, 0xbd60fb0b, 0x16e555c1, 0x7a1ca182, 0xdd0b43fa, 0x83dd51fa, 0x6ba173e7, 0x4e85709e,
+    0x6f23eb2e, 0x06bfa95d, 0x91af8a62, 0xe644a5df, 0x00e6dfaa, 0x86e11657, 0x65f84ea9, 0xb4db6e77,
+    0xd82c0ac1, 0x6c9c936a, 0x6c76263a, 0x3981c6ca, 0x7082b643, 0xa7447359, 0x9b4f0d6c, 0x38e554e8,
+    0xb5a733f6, 0x40b1798b, 0x71f83835, 0x7f7a6c64, 0x7796e188, 0xa0ff6e39, 0xdfdbc1e6, 0xb2b49224,
+    0x3b5f2add, 0x5d44a4a1, 0xafcce396, 0x1aeda4e2, 0x50df9c52, 0x30ac5eb0, 0x34bd5ed7, 0x14a0bce3,
+    0x124b36e9, 0x311ebd52, 0x1668e4c0, 0x348368ad, 0xfd0a7ad9, 0x4a3711ce, 0x9449e773, 0x1952b334,
+    0x735aed31, 0xdb0ea670, 0xe296b063, 0xf759f9b6, 0x20c11bd0, 0x85021aab, 0x43ae1bdb, 0x2fdf25c2,
+    0x1406e81a, 0xd5bc641c, 0xf8971b61, 0x9d080dba, 0x50b97648, 0x70d2ef32, 0x8bd3f110, 0xd53fa375,
+    0x54bad9c2, 0x8dbf281d, 0x8754b3b3, 0x2eb48fe5, 0xaab5d6f2, 0xcf3369c6, 0x2dd84c76, 0xeaf8a60a,
+    0xe6f8b409, 0x7c17abf6, 0x4d8b65ee, 0x6f45fa9f, 0x4467b04c, 0x5a41b0ea, 0x01941da7, 0xa759698c,
+    0x193ead6c, 0x15b63970, 0x55a1212f, 0x81adeb14, 0x8dd6e5e8, 0xdcc83052, 0x28420630, 0xfd6fff7c,
+    0x3276bf6d, 0xec9ae54f, 0x3e73e0b0, 0x4f2a9b35, 0x66297958, 0x87f3161e, 0x5b02b3fa, 0x112d5428,
+    0xe30a63dc, 0x0cf5900c, 0xb3618623, 0xa37d05fe, 0x526000d2, 0x8b427425, 0x28a921b5, 0x43fc17a5,
+    0xe791bd7e, 0xf2c9484e, 0x75546504, 0x745212df, 0x6f900a98, 0xa7f4e455, 0xd7bd083b, 0xae13a74c,
+    0x15aba952, 0x8b9460bd, 0x9f7d6fbd, 0xe815bef3, 0xc40a4fb9, 0x2e68a922, 0x078bfd57, 0x47a4fe5f,
+    0xfcceae95, 0x80074fad, 0x813a29a5, 0x615c3d9f, 0xe875f517, 0xa4fe3fd2, 0xd91a7ce7, 0xf71968c3,
+    0x9c6f1953, 0xbf3625a6, 0xcdbed2ad, 0x4d6cb6e2, 0xe7f95b05, 0x711b9ba2, 0x5bf38be8, 0x33967fa6,
+    0x45cf7f18, 0x385b1b60, 0x027d5a9d, 0xed62aeac, 0xdbe354eb, 0xbccd6b0b, 0xe6811ace, 0x2b2e3c8f,
+    0xc2ac8ea2, 0xc6f07da2, 0x58cb56f2, 0x8c1ab7e3, 0x7c2f8132, 0x6f1e994d, 0xa57187e0, 0x1860b049,
+    0x581f3b53, 0x2f75a4f7, 0x6048dccb, 0xb5f8f56b, 0xdccfd3ee, 0x1b440cf4, 0x13411ac6, 0xbca31649,
+    0xd18018a4, 0x333272a4, 0x7c92fd55, 0xfd7a9e1c, 0x7e54d4c5, 0x47a91b8f, 0x86921d40, 0xb1f345aa,
+    0x45f5762c, 0x750c70ba, 0xafba75ce, 0xc66d6881, 0x6b819b16, 0x4705899f, 0xa0bee97c, 0x201e84b8,
+    0x6de51ca3, 0x8731ef5c, 0x945d4611, 0x7f283de3, 0x6fa2a963, 0xbc4de5ef, 0x32812a8b, 0x0a0ba6e6,
+    0xd09766db, 0x0551ee53, 0xb6165206, 0x9cf74bd8, 0x0d4a5162, 0xbb09e588, 0x3ef9c968, 0x6603b761,
+    0x89cc9f34, 0xb88083d3, 0xe1839fcd, 0xf0d414ff, 0x78b5fd1a, 0x8da005a4, 0xa0445264, 0xdda84495,
+    0x3f323349, 0x883b4dd9, 0x721e2279, 0x11cd70db, 0xa98276f1, 0xa901150e, 0x62f0eb0f, 0x7282f952,
+    0xa273ac9a, 0x0a2a9c71, 0x4f4bec57, 0x6bfb6576, 0xa6b3cbbf, 0x9c8ed760, 0x06a4c880, 0x26ebe348,
+    0x9840d734, 0x6a737abf, 0x0b14c78f, 0x5ad7ac09, 0x1980504b, 0x61bd22a5, 0x0b66cc74, 0x9454c5e1,
+    0xf957cd9c, 0xe11e09b8, 0x250e5ec4, 0x695b78a6, 0x3b89eea2, 0x292a9e21, 0x1afc2abe, 0x4e2f5b7d,
+    0x8a8895fe, 0x2794ce5f, 0x37b04b16, 0xacafac09, 0x66f7f68b, 0x322e3e14, 0x8b146930, 0x88bd9c82,
+    0x8cd30af8, 0xafa33104, 0x1706be9d, 0x2861a30d, 0xa980cb48, 0x07230de0, 0xc0ff8a7e, 0xc3d5a67e,
+    0x8db29259, 0x6655e219, 0xef0dd9f0, 0x9fdfa9c4, 0x9a15ec95, 0x812d2ce3, 0x2e0d6c2f, 0x7e05154d,
+    0x1b51b9ef, 0xb4fc4af5, 0x913f8d28, 0xb95ce010, 0x4e7156ae, 0x1b58af5e, 0x20cca2f4, 0xce20140a,
+    0x884fa0af, 0x0af6da05, 0x8d135779, 0x98fd6966, 0x30ab5e8d, 0x77bcb9d0, 0xbc35f14b, 0xce1c446f,
+    0xf4aa6f03, 0x1a2c91b0, 0x9fe65c72, 0x1ab0b089, 0x52d9dcb6, 0x9e4128cd, 0xef5e214d, 0x2c6b30c7,
+    0x173d2fdd, 0x86d46ae7, 0xec6cc0fc, 0xee26c9e6, 0x94a10bb3, 0x1eabf9f1, 0xd0c9b2ca, 0xc6574f5f,
+    0xe601ec81, 0xc6af62e8, 0xd8032864, 0x285a1b41, 0xed105e5d, 0x60b9c059, 0x5964e962, 0xb4d9bbcb,
+    0x3d9e0cc2, 0xcab0f79c, 0x9690abf0, 0x2d7b0619, 0x24a9a799, 0x23ab3790, 0x70901a81, 0x3afc1ec8,
+    0x4ba6856f, 0x8e61ce86, 0x697abcb9, 0x3310d7b4, 0x84b161c2, 0x26f5de72, 0x9085c426, 0xc419367a,
+    0xdbc09314, 0x63ac6587, 0x7b85f384, 0x26663dd3, 0xbccb63c0, 0x267fabf7, 0x4223b71e, 0x696ccf07,
+    0x72f027df, 0x3d4f5c2e, 0x7a7cf463, 0xee25bd2c, 0xc8d64423, 0x0764cdb0, 0xa4ee6efd, 0x7617dd2f,
+    0xe966e0dd, 0x82110038, 0xd913402d, 0xebc3abe2, 0xe700c026, 0x0fc27d7f, 0x0bffd104, 0x54682660,
+    0x3307aeb1, 0xcb90b68a, 0xa8834c5c, 0x0fc8b628, 0x3d9cda21, 0x03963972, 0x3d6bd807, 0x302da8cb,
+    0x8b95dfe8, 0xaf2009c9, 0xb4dfc0ae, 0x94834821, 0x3337aa5b, 0xf32517fe, 0x6633c8ca, 0xf4c11b6c,
+    0xc5ee543d, 0x52c6ceb8, 0x45800076, 0x5bbdf83b, 0xa2a77bfb, 0x1f7fbd35, 0xcf0ae14c, 0x3d104a1e,
+    0x16d6b7ad, 0xae985044, 0xef6a621c, 0xdf714d24, 0x1db1b50b, 0x43dd559a, 0x2da3bcf0, 0x59a3f9dd,
+    0x6d7df44d, 0xcb220c56, 0xbcffc61e, 0xf5c91c05, 0x201a9660, 0xd645564d, 0x9c5a1f3a, 0x546887d2,
+    0x74c63d90, 0x2d6a33f9, 0x80f7d89b, 0x7f6ff764, 0x2a875f30, 0x3f5fc2d7, 0xe5c013c3, 0xfcd3d58c,
+    0x0b76c5eb, 0x7d30fbac, 0xc58bd56e, 0x3eee2189, 0x1f119b14, 0xd3525cb7, 0xb0bf9e37, 0x14c73713,
+    0x56a4a3f5, 0xe21e5446, 0x29c74eec, 0x7506b69f, 0xc6490db7, 0xcbc2eed0, 0x67af9322, 0x89c036ae,
+    0x6a7fef91, 0xa795590f, 0xefcd0c0d, 0x52437f6b, 0x9b04cca5, 0xe26e19e5, 0xe888be26, 0x6724ecec,
+    0x399adb02, 0x235b4950, 0x1331ac84, 0xcec52540, 0x2afb6fed, 0x8e4154cb, 0x56feacb7, 0x01926553,
+    0x9fc5b0c5, 0x8da67923, 0x624d7756, 0x3fbdcf2d, 0x6e76d069, 0xa0d32c8d, 0xc3846ef3, 0x80ad67d4,
+    0xa486ada6, 0xf7755777, 0x53a774ef, 0x03f0b729, 0xcff920f7, 0x52fac05a, 0xe7895007, 0x8c5e79fc,
+    0xa38b6b2b, 0x72114540, 0x6277d496, 0x186400e6, 0x18d7d92e, 0x3b610725, 0xe2c901b0, 0x3de5c00e,
+    0xae4b439c, 0x6d10422d, 0x02ddb4c3, 0xd902629a, 0xb757581e, 0x382ba499, 0x7e5e88a2, 0x45918727,
+    0x42b12e39, 0x58abfe0c, 0x607d5b1a, 0xb47ed217, 0xd32c21f1, 0xb193178a, 0x2fbe7f9b, 0x168ed51a,
+    0x900a9472, 0x02386394, 0x1182c5d1, 0xa3f11c5d, 0xe5cdbb93, 0x9607002c, 0x3d572e13, 0x164b2cc4,
+    0x279380ad, 0x79794d3b, 0xf2585545, 0x741b3d9e, 0x6eba1e1a, 0x9f180bad, 0x2b5c2fad, 0x30b15aea,
+    0x767fb153, 0x208a1fff, 0x6f5fef67, 0xdc0efbd9, 0x5d91c7cc, 0x7fd0f0e5, 0x30f00e5f, 0xd9d30953,
+    0x6736315d, 0xebcbfbf0, 0x038138f9, 0x0aef8cad, 0x8eaae3c7, 0x94c965ac, 0x2fe8b64d, 0x2069391c,
+    0xaa167f96, 0xf9716db3, 0xfcdff49b, 0x3fc4acdc, 0xe9a3ec8f, 0xf64372a3, 0x25b27986, 0xe708450f,
+    0x00000000,
+    0xff95b2c2, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000002097152 */
+  { 0x00000000,
+    0x5206d7cf, 0x5c1eef78, 0x92fe1c6d, 0xce57f50b, 0xd6fdc81d, 0xdda8590b, 0x0bf5b31a, 0x25f5ccf4,
+    0xaf60c82b, 0x752de155, 0xba71390e, 0xe0eb5975, 0xb95073b5, 0x755d1f03, 0x2937f404, 0x1ff96151,
+    0x3dc03fe0, 0xd4f4c05e, 0x14d9234d, 0xcda9f000, 0x32a17d06, 0xa34fb8b4, 0x651ee945, 0xeddd6969,
+    0xade1a1fd, 0xe74f68b1, 0x32146fcb, 0xc7bc5809, 0x639e9004, 0x14c3c593, 0x4274ebbe, 0x0b7c332e,
+    0xc81befdd, 0x59dea79a, 0x7168b755, 0x7f99cb8f, 0x6e41f80c, 0x82db83ae, 0x501532f0, 0xd74291a8,
+    0x1bd1aba3, 0x31ad184d, 0x40d00d74, 0x83ab9f1a, 0xb2e973e6, 0x12a6e005, 0xae3b9426, 0x16da4a0d,
+    0x78d0fabf, 0x505c4b50, 0x7abf6aa9, 0x1db1ad4d, 0xc493ea12, 0x1e442e8d, 0x026bb703, 0xe4896b2c,
+    0xd38293d5, 0x77b6cdbd, 0x9496a86a, 0xfdc91e79, 0xceeb6ed4, 0x062d2146, 0x9e20b19d, 0x6ea844ff,
+    0x0d4d6a8a, 0xf28571fe, 0x4186c804, 0x22e5bd64, 0x11ac5cfb, 0xac68588d, 0x2e3e0421, 0x02436619,
+    0x84ee2738, 0x87c3cd04, 0x23452ccd, 0x63712339, 0x87c8e00b, 0xe3c4bd78, 0x64ef0f32, 0x3e21ab45,
+    0x48ef1e7b, 0x41f0587f, 0x4a6e8783, 0xbd703af5, 0xd42dbc83, 0x353df613, 0x7604a27f, 0x1c3c2998,
+    0x34acec95, 0x508d91bf, 0x276859a7, 0x4df983d1, 0xb39c1611, 0x84d119b7, 0x464f17ba, 0xd192f02c,
+    0x2252f6db, 0xe6e5421c, 0xbc96d583, 0x22715492, 0xc07ef649, 0x4cbeff97, 0x2bc48886, 0x46317085,
+    0xac59ad18, 0xa8cb655e, 0x5327574f, 0xf584b9c8, 0x0d89fdc2, 0xf961776e, 0x87d7852a, 0x93c8e27e,
+    0x7f5205a5, 0xd69dddd4, 0x51dbed7f, 0x3e944541, 0x6d560d42, 0x017f8aac, 0xa2b380d1, 0xc6a15909,
+    0xb2913b70, 0x73361411, 0xda0d6aa8, 0x4677655f, 0x31902f22, 0x62075024, 0x8663d488, 0x32f74a40,
+    0xad15d924, 0xa1b1bf69, 0x56e28b25, 0x5a55e2ac, 0xb6cae4e8, 0x9231b792, 0xa57f274a, 0x9fecdf7a,
+    0x1b8fddce, 0xffc2c6d1, 0xed6c18b6, 0x3f505fc1, 0x1c427271, 0xee94c03b, 0x2a6c2e2a, 0x7f926193,
+    0xd8cb7c31, 0x6f74a204, 0x347aadfb, 0xc6648eb3, 0xed446438, 0x09e3dd9e, 0x98e2c005, 0xd5599cc2,
+    0x3dc3b152, 0x63fd19dd, 0x630ee132, 0x93fcc9d0, 0x8159772a, 0xa89538a9, 0x722d8d83, 0xb9fb88b5,
+    0x298649c6, 0xf5a0b9a2, 0x44a870c7, 0x2cfcd420, 0x3191eedc, 0x11267be3, 0x5d71fa71, 0x9d5506e2,
+    0x81d07d04, 0x0a4e3411, 0x2c05eed5, 0xf6a3f985, 0xaffb452a, 0xac81b5d8, 0xd5145686, 0xf20569fc,
+    0xe193bb5a, 0xeba5d58f, 0x1cafe650, 0xb8cdfc52, 0xc66b6544, 0xeea25a8a, 0xfec0b5ea, 0xee52d674,
+    0x139f0a75, 0x65f1fd5f, 0x895f4f76, 0xbd1d9b49, 0xdcb326cf, 0xe75f63e7, 0x51895a8a, 0xe4b1f63b,
+    0x257387de, 0xbcd4e447, 0x5ec7bab6, 0xd2010f86, 0x07fd5724, 0xda38bf60, 0xf49e08b6, 0x2044e8c8,
+    0x26342dd0, 0xfed81d91, 0x1d510f07, 0xf5c02982, 0x4cda213b, 0x4d6d8c50, 0x00a9df5e, 0x2e8635da,
+    0x65f76299, 0x1dc090bd, 0xcf5ece77, 0x84667332, 0x4d81dd64, 0xca9f36a9, 0x24b67c72, 0x3e5a08b3,
+    0xb467d966, 0x88cb4199, 0xa994f0ca, 0x10dba273, 0x9d336570, 0x1debd566, 0xc0ba0b38, 0x879d43f2,
+    0xc505b88c, 0x05aa1ca5, 0x1f8d5cb4, 0x9c01b5b1, 0x9d8e0514, 0x5c3a4dcd, 0x7d15e79b, 0x46a417ce,
+    0x8a2f94af, 0x815518e9, 0xfbfcf254, 0x1c123639, 0x1684614f, 0x1ee41dcc, 0xd8929226, 0xdc684c8a,
+    0x7c54c1da, 0x79d928c8, 0x2cce9a4f, 0xe22b6214, 0x8d7a977c, 0xd78b7334, 0xbeb68d52, 0x246c62df,
+    0x4efb2d4c, 0xeaa19c2c, 0x029bbf50, 0xbed258cc, 0xebea477a, 0xba75b79d, 0xacd3b886, 0x56a91bcc,
+    0x34cb791c, 0xe39d43ee, 0x5be4be43, 0x309fa04f, 0xef8bdf9d, 0x012035f8, 0x317f4d7b, 0x3414e49e,
+    0x7aaaeb1b, 0xc3ab6028, 0x70cfdd50, 0x69d05fdb, 0x3bdca8cf, 0x46d88471, 0xf9e9cf7a, 0x6cf96c16,
+    0x5bfb4356, 0x0c46cdf4, 0xc219a79c, 0xba89c032, 0xe682aa3f, 0x12e31705, 0x1240c04b, 0xbef4a54d,
+    0x19376583, 0xf106e976, 0x982d554f, 0xedc3fd8d, 0xcc5d5e81, 0x301b56e3, 0x6128e369, 0x015551ba,
+    0x84f147b3, 0x6b267db4, 0x4505e4f8, 0xf434d4bd, 0xe70e7d64, 0x5ea001e2, 0x9e84dc41, 0x748892bf,
+    0xf07dbff1, 0x324b4664, 0x59124857, 0xecfda9df, 0xf4ddd181, 0xeb05ec10, 0x4d47f879, 0xd916a01b,
+    0x9b015a21, 0xe2933f1d, 0x0df00e22, 0x3f9ce6d6, 0xe0dd4757, 0xc18718b4, 0x15517a55, 0xeb021f64,
+    0x4a69ca9f, 0xaaa2e2d7, 0xbd20708f, 0x673b9bba, 0xef3b19f9, 0x276802bb, 0xa37613ff, 0x0aa1c6ea,
+    0x46b84f32, 0x53e3adbb, 0xb1fb6004, 0x7ea6fd01, 0xc1e73b1d, 0xe296b48f, 0x6a8828ce, 0x746abc38,
+    0x765881d8, 0x8f00d6f4, 0x8efe4661, 0x71ed717c, 0x682d079b, 0xa57ad6d6, 0x9d975622, 0xada48eb8,
+    0x5a459f63, 0x31e03ff4, 0x51b0bb9d, 0x7783c480, 0x368fe4de, 0x2babfc4e, 0xf8aee76e, 0x1d7d97e4,
+    0xa5263dfc, 0xd098638b, 0xb99f5b35, 0xce0e6545, 0xaf3f7520, 0x6b2b2f8d, 0x12e687d0, 0x7362dc83,
+    0x02cc2999, 0x87fb2f03, 0x949da9e0, 0x5cf2d47e, 0xa69c00f6, 0xa79d7184, 0xafff8adc, 0xe7b4a54c,
+    0x9f1a0ed7, 0x51f9d9c9, 0xbcafac3e, 0x91667d9a, 0x9ea6eb0f, 0xefb1dede, 0x79ec301a, 0xfd72a6af,
+    0xf5e2b948, 0xb4ab08a8, 0xb1a0ba85, 0xe357f674, 0x1e2c0ddf, 0x98bd46dd, 0xfbc21992, 0x06fbfec5,
+    0x19eb3337, 0xbffe162e, 0xce1ae964, 0xc52c870b, 0xb04bef1e, 0xda8aac75, 0xf246a8b5, 0x072e6138,
+    0xe3820b1d, 0x654b0b17, 0xee7fd857, 0x03212809, 0x529d6b8f, 0x8456ad70, 0x1eb324c4, 0x68b261a4,
+    0x2eb10e8a, 0x99428b50, 0xe1cb4b1d, 0x94dc00da, 0x261f01f8, 0xd41bd764, 0xf21b92ab, 0xccc1c31d,
+    0x0918f8be, 0x14ad6422, 0x9ee0c8f5, 0x943630e6, 0xa9f3109e, 0x413de5c7, 0x4258d8a7, 0x87f611d2,
+    0x59a5540e, 0x70969c57, 0x91cdf43f, 0xb31724b0, 0x58697f23, 0xd2599a8d, 0x48d25450, 0xeb044e19,
+    0x8e6e5f02, 0xf3ce4e41, 0xd3c81cc9, 0x6ea7af73, 0x0211e5ac, 0xd1407b57, 0x9cd3e2c0, 0x6fc4714d,
+    0xc0defc04, 0xe29cd31e, 0x8ed478b1, 0x54830496, 0x7a2e21ec, 0x2cb8d6a0, 0xd5e2f14d, 0xf348773a,
+    0x26a53c70, 0xe9c7f437, 0x9fee7efa, 0x3a7f93c7, 0xab923f10, 0x8bd490bb, 0xe21322d4, 0xa6855535,
+    0xf760f1af, 0xaffa2103, 0xbe68bc96, 0x125471e8, 0x5be1a285, 0x48909701, 0x6c9ae0cb, 0x3dc5a604,
+    0xc19d7d5d, 0x77e57e43, 0xf9512656, 0x5ee8b2e4, 0x56420fa5, 0xb6b27e18, 0xe1c22563, 0x7ea49594,
+    0x98a2133b, 0x813930b4, 0xd9064564, 0xcda3c16d, 0xecdb851b, 0xaabf2224, 0x60e3caaf, 0xbf966656,
+    0x221597c0, 0xcc68a1f0, 0x45242691, 0x8aea7bad, 0xc6e78d56, 0x887615ac, 0x0a775fcd, 0xa1ff388a,
+    0xd9ea549f, 0x0f773f28, 0x27b3f76a, 0x25bdb4e3, 0xbdd02191, 0x775bda64, 0x6552abb6, 0x16359a4f,
+    0x0307f939, 0x1d430899, 0x55668838, 0x817dd37b, 0x4cf994bb, 0xa3ada7b5, 0x92c5219a, 0x40fc3e6b,
+    0x7215672a, 0x0f251513, 0x1d8d83fe, 0xc3467d17, 0xde016444, 0xf0e81cd2, 0xdfbd56b9, 0xe74590fb,
+    0xc3174182, 0xfedc28ba, 0x9776ffd9, 0x58e7b01b, 0xc9b942bb, 0xd5de65a6, 0x17b41330, 0x808ab245,
+    0x5592a53e, 0xfa4999ef, 0x13d9838c, 0x5a57e7ac, 0x769f75e5, 0xd2891a77, 0xcee7dc94, 0xab378ecc,
+    0xc78aafab, 0xbf9b6b31, 0xb36403f6, 0xc2446eb3, 0x2fadcc4a, 0x5da09c7f, 0x3eaf38dc, 0x2fe443dd,
+    0xb5d32974, 0x73968bcb, 0xc8884f26, 0x70b03424, 0x73e74acd, 0x2d48832e, 0x529ea2b5, 0x4a88c6e0,
+    0xb1a56c36, 0x33a5f2a6, 0x1fba023d, 0xa8a71724, 0x7cc2a181, 0x1870bb87, 0xa5b4164e, 0xc854be40,
+    0xf8bcb340, 0x5f5a2e34, 0x5f347da5, 0x21218162, 0xe606b209, 0x4dc245f6, 0xf1e29c67, 0x7c44322e,
+    0x4dceea1b, 0x36d99f96, 0x050709b5, 0x16a850b5, 0xf19fcdde, 0x9bed0f68, 0xf99fd494, 0x57770b07,
+    0x2ceabd7d, 0x80052ab4, 0x1679905c, 0x834fa3d3, 0xd10a33f9, 0xa8caae35, 0x05f62090, 0xd518a769,
+    0x30f432f7, 0x876ec081, 0xd54aa0d2, 0x5287a9f1, 0xc58044bd, 0x2fb6b765, 0x0fb78334, 0x554ced10,
+    0x0712dacd, 0xd5cc97be, 0xa477a372, 0x08053491, 0xdb6956c2, 0x2aca8d07, 0x5d1859e7, 0xf06a2b84,
+    0x32c6e57d, 0x3606409c, 0xeff12e07, 0xb844829a, 0x4b842e8d, 0xa4febb50, 0x2a2536f1, 0x46ea99b6,
+    0x9706bade, 0x02d5e3f7, 0x64f70a41, 0x67034e94, 0x36a760a2, 0xdd423b61, 0x6b975fca, 0x2f1b02c1,
+    0xe395ba55, 0x6ce280ee, 0x2772261a, 0x91460cc4, 0xebc74947, 0x6e097b5e, 0x09bebaac, 0x5f71810f,
+    0xc6e70749, 0xf5ec4546, 0xa5ff0db3, 0x1bdc9724, 0x5c8a7e88, 0xd27d8d4f, 0xc198ae88, 0xe0eb31da,
+    0xf6bdf89b, 0x1ec37f52, 0x14be35d8, 0xee1b5cb5, 0x47eb0d37, 0x79a8ea01, 0x7da2935f, 0xd2692bcf,
+    0xe061f3b0, 0x582dd10a, 0x16c2375b, 0x64f1ae55, 0x90dceb79, 0xb8c8aa05, 0xe2739fa4, 0x7dd5f9a7,
+    0x2c5de806, 0x634427ec, 0x5aa1fd71, 0x6eaf4d62, 0x685ec75d, 0x6c0f3594, 0x17d0fee0, 0x1999d757,
+    0x40a12e68, 0x16e8fc6b, 0x1483a382, 0x0d2736f4, 0xf978064b, 0x61aa6834, 0xdd5dba41, 0x1f79a044,
+    0x12d92922, 0x92db9f87, 0x19ab0ecd, 0x146f2dc3, 0x818358bd, 0x19303cb8, 0x0bbc42ef, 0x9fa2814c,
+    0x5f6ca634, 0xa39be2c2, 0x8b5e5e88, 0xbcc32ef8, 0x994e366f, 0x55b1c7d3, 0xf7e4805d, 0x582448cb,
+    0xcf1b9af9, 0xfc1e54cf, 0xa258452b, 0x03997917, 0x7dd8a3cc, 0xad9eb421, 0x18027efb, 0x806d0fee,
+    0x7df4f0cf, 0x9cc6e551, 0xc5289b82, 0x600aaefc, 0x4d53596f, 0x3db8cf31, 0xa2f054f3, 0xf686d627,
+    0x7efe3b2a, 0xb22bef96, 0x5b07beb9, 0xef61544a, 0xb354cd68, 0x95171e0e, 0xc140e11c, 0xf2a89cb6,
+    0xd524aca9, 0x07ea4242, 0x50027f40, 0x93e0c49e, 0x7979ab8c, 0x6f7fbcbf, 0x7bd38ad2, 0xca6c1fc8,
+    0x59f1553e, 0xfe832721, 0xa34acf23, 0xd7f5911e, 0x270cf227, 0xd6de3892, 0x98b472c7, 0xdecabfd1,
+    0xae866f25, 0x491354df, 0x45974572, 0x5d64eb05, 0x91585f53, 0x11226b10, 0x5b6651ac, 0xfcc9a731,
+    0xdc1b9a76, 0x045f7d61, 0xe4e09457, 0xe6ae804d, 0xb574c5c2, 0x1f1ea39d, 0x92afb8e6, 0x96e84b49,
+    0xf4affddd, 0xb03ef8ae, 0xd8261ecd, 0x5aa0860a, 0x72df1cb1, 0x4a9aeb9e, 0x61595ce6, 0x1f0abc24,
+    0xc24e3fbc, 0xa7b37312, 0x752a63ba, 0xbc49f720, 0x5626f702, 0x98988d17, 0x07899da1, 0x94fe7632,
+    0x75843529, 0xb7c4b191, 0x9ea58a85, 0x0371a5fe, 0xd39c240f, 0x368dc67c, 0xe48b80b3, 0x560e976f,
+    0x320e5396, 0x7606cc80, 0xf2f815a8, 0x82d32372, 0x7d4287ea, 0xd4c93976, 0xffce5c9f, 0x2f7e5aad,
+    0x3eaa1aeb, 0x5111e62f, 0xa04354b3, 0x744e72c4, 0x3ea3f0e2, 0x5672e577, 0x755b5c57, 0x3f504ea9,
+    0x217ffc8a, 0xe603d154, 0x21d169b5, 0xc252f5d2, 0x5446131e, 0x163dd352, 0x5fb9cafa, 0x85a9eb24,
+    0x4c3be7fa, 0xa648ac0c, 0x17722e0a, 0x795d694a, 0xbc390503, 0x029383a6, 0x284cbf1f, 0x5aa4a667,
+    0x40bb11bc, 0x80e7f45a, 0x88c040d1, 0x9b88baea, 0x2ed67708, 0xdeda4723, 0x62b1f2d4, 0x4aee4eb0,
+    0x94f23f4c, 0xa4f80413, 0x238b9026, 0x37a17e63, 0xb076edd9, 0xc97d87f6, 0x1fa372e9, 0x405b0518,
+    0x288f75b9, 0x03e65273, 0x6e073ae1, 0x35bf2fb5, 0xb5473fbb, 0xd6f61168, 0xe50148ff, 0x0af12f13,
+    0x6789098f, 0xf3b5e921, 0x9113c031, 0x40178158, 0xba4ce7fa, 0xd5237e27, 0x7d334ccc, 0xe7aa2839,
+    0x4d1e2fc9, 0x28e3ca27, 0x5ef83ec5, 0xd99b6caa, 0xbaca4462, 0xc7f55e2a, 0x9289ac91, 0xbc4600bc,
+    0xbd1ffd26, 0x3cfd8a28, 0x0a66c437, 0x171ff0dc, 0x4db8d6e5, 0xa943a5d4, 0x70ecfb00, 0x6604fa8d,
+    0x8019821e, 0xa5d9867a, 0xa2a7b7cf, 0xc1269397, 0x78fa9062, 0x2b6f7f65, 0x71e876c5, 0xb187bb0f,
+    0xa51569f6, 0x75095466, 0x13e398f4, 0x763bda24, 0x6a0ea7f4, 0xdc95bad1, 0x3cac3652, 0x3456b2bd,
+    0xd8200750, 0x8fab8330, 0xa50b7f93, 0xf84d7a7e, 0xa1ca5311, 0x242f65d8, 0x68379517, 0xfab9dd44,
+    0x6c684660, 0x22a719b1, 0xcc134764, 0x098e4d00, 0x9d8d47c0, 0x3436ab4f, 0xf3572984, 0xb760a77b,
+    0xbd408742, 0x472f9022, 0x61448e7d, 0x9d8d2f58, 0xf556790b, 0x111dc242, 0x39a62ebf, 0x64d60fbe,
+    0x6ee72aa8, 0xde0cac4e, 0x83107816, 0xe45de7fa, 0x9ca81f30, 0x6c421511, 0xde4859af, 0x5b28f051,
+    0xceaa7a5d, 0x981a9681, 0xdfb7d764, 0xca6a2d7f, 0x1e6b63c6, 0xb4b061f0, 0x17afb031, 0x6b277f5c,
+    0x19559e2a, 0x1493d92c, 0xe8a5a94e, 0xecac08ec, 0x2da1ac5e, 0x316d8d08, 0x8fd0a9aa, 0xb07bc263,
+    0xed8f6c3d, 0x9d774afa, 0x105f46a5, 0x5471b690, 0x5ff38936, 0xce2f8179, 0x021760ae, 0x7616afcc,
+    0x2804bd15, 0x58415e4b, 0xdba21190, 0x910c6435, 0x155651ec, 0xf7536679, 0x130682eb, 0x3a4cd0ee,
+    0x18c733e8, 0xaaeda540, 0x6a7f06f1, 0xb7c7527d, 0x3f8bc052, 0x2137a40d, 0x5c52273a, 0xd179aebb,
+    0xa7394e1a, 0xe5b61365, 0x5ed55792, 0xef48750b, 0xc9429107, 0x1dbd2757, 0xc5178428, 0xcdfec7f5,
+    0x1419a732, 0x69c585f7, 0x8a1db6e7, 0x66546d6c, 0x5ac51e9c, 0x5a6fb8a5, 0x847461ed, 0xaaca20c0,
+    0xd593970e, 0xd8397bfb, 0x0a85c3c4, 0xdcc43cf8, 0xef77824f, 0x3243d7db, 0x1db2bad0, 0x02a1f0c2,
+    0x032e24ba, 0xd0eb6eae, 0x890437ac, 0x915b5704, 0x8b771877, 0xe5a6912f, 0x1380ef3c, 0x2b774b79,
+    0xef4bacde, 0xd49269b9, 0xf869257c, 0xa1819846, 0x310c3416, 0xa3369bd8, 0x9523187f, 0x5660e5f4,
+    0x129b740c, 0xf36a57b3, 0x2203073a, 0x5e3248e5, 0xb8d5b35b, 0x62956205, 0x8573ba2a, 0x17e5e5eb,
+    0xab94c01b, 0xd2d9c6bf, 0xaf5a753e, 0x734e242f, 0xaaffbb6c, 0xdaa4b177, 0x49da938e, 0x2890cafb,
+    0xff211776, 0x5c9b97f6, 0xea8a677a, 0x4773be9e, 0x0ebe387d, 0xbc9659dd, 0x071b123b, 0xd3e827ed,
+    0x10dc58cd, 0x4903e615, 0x3f3b9767, 0x699bb121, 0x6f057b84, 0xa3bfd117, 0xf1d6acd1, 0xf4d744a4,
+    0x2b3323fe, 0x3eb5ed08, 0x0cb0ba0d, 0x646a37eb, 0xa2554956, 0x748f0ff5, 0x1e530bfd, 0x57f8f6ff,
+    0x33767b7c, 0xcd4b13fc, 0xc8f7a851, 0x652b5e69, 0xd8bca996, 0xe402e85a, 0x571b5616, 0xb00bd9b2,
+    0x33467f7e, 0x108ee751, 0xb5e4a9ae, 0x890d9ff6, 0x32326ed8, 0xbdbc5d09, 0xb421307d, 0x2cabe219,
+    0xb6919961, 0xecac054f, 0xb3e120a3, 0xa8630850, 0x53c66c1f, 0x50237f60, 0xf4226e8e, 0xf33229bb,
+    0x00000000,
+    0xffcad960, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000001048576 */
+  { 0x00000000,
+    0x04df284c, 0x5ad22c9c, 0x6cdd2f73, 0xd05db2c6, 0x92a9a07a, 0xee3f5f4f, 0x9b4af487, 0x1688f8ac,
+    0x681f55fc, 0x22a97e61, 0x7298b822, 0xe03d06d4, 0x987c9f89, 0x8f34bd92, 0x77ecba03, 0x8413b5a0,
+    0xf2768748, 0xe26d2d78, 0x905f1ed4, 0x9d8fbe57, 0x99282a6b, 0x2db6e2ab, 0x7099d613, 0x87aea69e,
+    0xba41cc30, 0xd30c2ad3, 0x4d3c8a60, 0xedd7d6a6, 0xa6020c76, 0x5594dc2a, 0x4952d9fd, 0x2c1bfa10,
+    0x7e343403, 0xbcd88fa9, 0xc7bb51bf, 0x13b8bc4e, 0x553598c2, 0xbf0ce2c7, 0x1d0477de, 0x96acf016,
+    0xb81d7876, 0x3f0df3b7, 0xfa6569f9, 0xcedcd8c3, 0x18ad158f, 0xddad7163, 0x2625ca7c, 0xf54ae09a,
+    0x322a8592, 0x70c3eb27, 0xc495d64a, 0xd520f583, 0x9ffd77ab, 0xc058eb0c, 0x619167e8, 0xe3e27331,
+    0xe4694965, 0x5c05508b, 0x5c1db0a1, 0x6f0ec6ac, 0xea0ecdfc, 0xb50d5882, 0x49be0695, 0x0408f510,
+    0xcc759a51, 0x2fc0275a, 0xd5dc9289, 0x1d95ac51, 0x4b9ccd31, 0xa62fc7dc, 0xd67d26d4, 0x7435c805,
+    0x2ccc9bf2, 0xa5dd00b8, 0x78821586, 0xc4527b2d, 0x62e56857, 0x17f82f98, 0x99f34b6a, 0x2821b82f,
+    0x4f8cde3c, 0xf5468674, 0x76bb5368, 0x467e6ae7, 0x855419dd, 0x62c3474b, 0xf453bb0b, 0x19bdcbee,
+    0x2ca68f5e, 0x7eec97f6, 0xd05191d6, 0xd4a5f220, 0xf740bf10, 0xb638bfc8, 0x377f7ea9, 0xe2470ac1,
+    0xf74442b9, 0x335a1d02, 0xc72c0aa1, 0xb7185a44, 0xf4f407b9, 0xecddec34, 0xc0835679, 0xf0d02552,
+    0xaa50edd8, 0xf59f6ec8, 0x93c86929, 0xce45957a, 0x41ad4a79, 0xe12ebe6b, 0x41c3c608, 0xf4aea883,
+    0xb2f7d69b, 0xeff9dcf8, 0x61251bc5, 0x3a8e9921, 0x86eaa43a, 0xd187850e, 0x6312df2a, 0x8861f4e5,
+    0x8ae5dca4, 0x720830e9, 0xbac2ebf8, 0xaae9c07d, 0xc9459662, 0x4d666721, 0xbf0e977c, 0xc2debc6b,
+    0x04ef7655, 0x0efa337a, 0x9bedf15c, 0xb763cd82, 0xe268f11f, 0x88fba8e8, 0xc3311a71, 0x3e88ec7f,
+    0xa43c538b, 0xf854b717, 0xa8eee11f, 0xa168a481, 0x5b9e81c7, 0x51d92a7c, 0xfe92422f, 0xdf2ba776,
+    0xf680d820, 0x9fb93231, 0x2bc3173a, 0xb5e0998f, 0x0bb9b1bb, 0x8834df62, 0xe48d51da, 0x1cef7342,
+    0xbfc7d3de, 0x047a6016, 0x27ba1a04, 0x3b16c013, 0x43cd6cef, 0xf16d1d69, 0x4788aec1, 0xc4dac0a1,
+    0x56ec5aa6, 0xf188b65d, 0x6125f77b, 0x8c7a0dc6, 0x69196ce1, 0xc92ba289, 0x34e5b30f, 0xad8599b9,
+    0x9828ffed, 0xe1a9766d, 0x0668ef3a, 0x32a0dcc4, 0x04a891dd, 0xdf1aa4db, 0x450483e1, 0x6066096f,
+    0x0d8a5906, 0x8f197a58, 0x18bf5e58, 0x66b8f4d3, 0xa0191f70, 0xe791e02c, 0x3ff4b62b, 0xca5e8ed5,
+    0x5ea0a9aa, 0xfe7e849a, 0xe7f5a116, 0x408df53e, 0xc10f6906, 0x4c7955d0, 0x8ce29837, 0x1cca5575,
+    0xfa7cad92, 0xa70eb18f, 0x3de197d7, 0xe7f650b9, 0x711b0fa7, 0xd7f77915, 0x49ed63b3, 0x84006f9a,
+    0x3f74146e, 0x25d3d90a, 0xe000509d, 0x58beac68, 0xf2a7af30, 0x9a8b9d5c, 0x44b91e1d, 0x620df0dc,
+    0x525b30e5, 0xbb8faa00, 0x2c14b718, 0xb7baf55f, 0x73d2154b, 0x8575a53d, 0x5e25e3bf, 0x707aa394,
+    0xe7a9452a, 0x6d6fb349, 0x7200768c, 0x272f7060, 0x14cbdb12, 0x807b063d, 0xcb5f0ece, 0xcb0c9d32,
+    0x585057ab, 0xee1afd74, 0x95be723d, 0x07ca4a59, 0xad41e38a, 0xcc55626c, 0xe2255228, 0x7ba0b8c3,
+    0x48089435, 0x1e76a867, 0x9623852d, 0x2065ba75, 0x3c18b8ee, 0x11c1b207, 0xa1566c1d, 0x32b905aa,
+    0xe71256d7, 0xa077d689, 0xf816dfa0, 0x2fcbc949, 0xf3f3577c, 0x405f202b, 0x009e1c42, 0x2f11c3ce,
+    0x83cdd1cc, 0x64c6202e, 0x17fb4784, 0xa3fac676, 0x78278baf, 0x8deffb0a, 0xd00436b2, 0xb44d94b3,
+    0x6b724219, 0xe74b55b0, 0xf7bc699a, 0x5186ddeb, 0x4319b134, 0xa1d050da, 0x92d10969, 0x1ba0712c,
+    0x1f32c583, 0xac1086e4, 0x6b90beba, 0x17decf24, 0x88e4f470, 0xbc0bdd0b, 0x1276b8d3, 0x06bbfec2,
+    0x9a382d88, 0x2544e45f, 0xe4a48b56, 0x2b4405cc, 0x5bad7561, 0x6b726a8a, 0xc604cfe7, 0x07b453ef,
+    0x6043510b, 0xaf929b00, 0x9a7532e1, 0x8d52fbdb, 0xf9b8ce7b, 0x96f3a584, 0x98ef0597, 0x44e78ac2,
+    0x70ee4055, 0x70f76ec8, 0xc41ca2b4, 0xb4bc85b7, 0x37c91b10, 0x59fc00b1, 0xcc43954a, 0x16a284ab,
+    0x0e07d357, 0x329ec3e5, 0xc277bf48, 0x39672494, 0x3526bbe9, 0xc7c004d7, 0xeadfae10, 0x2d1b3fc1,
+    0x03431397, 0xaff4c346, 0x093f41bf, 0x0764221e, 0xcf68516b, 0x6fefad0f, 0xd4419109, 0xd58e93f0,
+    0xf7e53463, 0x4f2b8ad4, 0xd0e60884, 0x9ef43859, 0xdcbb511a, 0xcea9e3fe, 0x511793b6, 0x033956d0,
+    0xd371578d, 0x33101e1a, 0x7c3c3332, 0x580627b8, 0x1c071f3b, 0x08220ab1, 0xc651679a, 0xf570f84e,
+    0x981d17ee, 0x702bd896, 0xbd69defc, 0x6c5e6511, 0x05e9adc7, 0x6ce9977a, 0x4b64e7eb, 0x94e5ab15,
+    0x2a0a1070, 0x83773d69, 0x9c0dc36a, 0xe60ad427, 0xfb34c900, 0x2e4c461d, 0xfb680df1, 0x6e0216fd,
+    0xe6c31680, 0xfab45167, 0x0342e259, 0xdea67cf5, 0xd9441168, 0x83e9d5f9, 0x0f5c5434, 0xbd1e05e6,
+    0x804b380b, 0x4adf46b8, 0xbe2216c7, 0xfce52d96, 0x50df2324, 0xae649d27, 0xc285def5, 0xa1cea7c8,
+    0x1412bf88, 0x685f8d9d, 0xa3e46a1e, 0x3060d85f, 0xb6ec0829, 0xb2eaef73, 0x785e3db1, 0xdb2b3c5e,
+    0xe7221800, 0xff0b78ea, 0x171808cf, 0x476adac8, 0x3745d202, 0x53c15335, 0x1e167e28, 0xd94f158f,
+    0x29507dbd, 0x1944e31c, 0xc0c891dc, 0x420b393d, 0xc14b886b, 0x050d4361, 0xcff16059, 0x56ad2990,
+    0x7c7ff9a6, 0xfce434aa, 0xd6a6fe1a, 0x223a747b, 0x6ccbb40d, 0xb26ddc43, 0x171d75a2, 0x971532d4,
+    0x2ec823b9, 0x67a17cf6, 0x3485c3df, 0x72ce5c27, 0xc801c300, 0x44d52b30, 0xc2250416, 0xc910dfed,
+    0x1f246e61, 0xc9f80015, 0x0c7f3123, 0x34d78f08, 0x99838b44, 0x74045074, 0x87cbcfc1, 0xc35adc6a,
+    0x91fc1ac1, 0x6a44c5f0, 0x1f67aba7, 0x46469c4a, 0x9bbe0cf5, 0x891dfd47, 0x552626ef, 0x7384cfbb,
+    0x6edde5ff, 0xb862d37f, 0x8a93d098, 0x8321515b, 0x7f2347e3, 0x86d62c35, 0x90caf181, 0x211c3129,
+    0x62b22e04, 0x528faa7d, 0x65fad019, 0x1a61a742, 0x565e644e, 0x63f8c2fd, 0x7d71866e, 0x2230e452,
+    0x38fc7fef, 0xb787db87, 0x9e60bbe0, 0xd678884a, 0xce7b7b02, 0xd7b346c9, 0x7e6dc58d, 0xdf835f6c,
+    0x4fe6fb17, 0x4e4ccf11, 0xeb3ad2b9, 0xa73ee9d0, 0xda732a53, 0xaa25b904, 0xe57f768f, 0xc464569d,
+    0xbbb51d48, 0x05db2aec, 0x63bc2c6b, 0x500b87bb, 0x951d30db, 0xddbe36cc, 0x0b1ec9ff, 0xe6c9f94e,
+    0x4c4fc541, 0x141ad5b1, 0xeb48126e, 0x589250b9, 0xfeb99d26, 0xbb77325c, 0x820e6b9f, 0xf0d6c122,
+    0x5602e168, 0x343398ec, 0xd3091126, 0x86425dd0, 0xe162be41, 0xb51ac7ac, 0x0bc14306, 0xf49b64b6,
+    0x66717874, 0xe7ae8b7c, 0x0743d92b, 0x06f81f81, 0xbe289b36, 0xeaf49757, 0x195c640e, 0x1e42730a,
+    0xeeebe1ce, 0x9086e93d, 0x3bdc43d7, 0x44c69ff3, 0x469fcfe4, 0x01639d31, 0x646f8c28, 0x8150dbe0,
+    0xffa98770, 0x98fc36c2, 0xb6f8a776, 0x6dfb94d4, 0x939419b6, 0xb736407b, 0x06e2c5fd, 0xf5c016e1,
+    0x827de99f, 0x57604f08, 0x72fbb836, 0x19a60477, 0x8ebe747e, 0x2da44e21, 0x05ba8007, 0x279a028a,
+    0x34ea0b0d, 0x4ae3d4dd, 0x758f7a30, 0x833ce01c, 0x73011859, 0xa7b70c4b, 0x272a5e07, 0x628e2248,
+    0xc1c5b4d1, 0x9ea698c0, 0x231b8659, 0x3361cddb, 0xad290f6b, 0xc0b66f9b, 0x53ddfbf2, 0xb4bf6a07,
+    0x32d07b05, 0x8b6bf2ed, 0x011ad300, 0x4834942a, 0x9733dd2d, 0x10e82c03, 0xc3684e20, 0xacba1dd0,
+    0xdbbaf84b, 0x7a9368e9, 0x040d4433, 0xbaf79e90, 0x41fcd15a, 0xa3dc93e7, 0x7f6686b6, 0x4fda0563,
+    0x39ee2cfc, 0x5b803947, 0xf58d0eba, 0x013b6290, 0xdf723fd2, 0xb2af93d5, 0x2f6347c3, 0x754631b4,
+    0xecce65f0, 0x5f4399fa, 0x1d565b4c, 0x9e047e75, 0x62b1c049, 0x0236dda4, 0x5164865f, 0x75d3d6d6,
+    0x1ecb3197, 0x7b729bf7, 0xa277d0fe, 0xb40e7589, 0x5a358171, 0xcfe64ee1, 0x5a489277, 0x018c0443,
+    0x0f9387f5, 0xa07e8002, 0xa624ca8f, 0x6a11cb3a, 0x2dd1a3f3, 0x2a7fc7d4, 0xd0ebc8de, 0x31433738,
+    0xcf1d9e46, 0x838d337e, 0xdd27534e, 0x58408472, 0xd7a207df, 0x4631c46a, 0x9cff1510, 0x0cef5c0a,
+    0x472e367c, 0xb0aedbb6, 0x014fb861, 0xf3381f13, 0x751ae451, 0xb8e28ff7, 0x50022660, 0x0c6bf842,
+    0x27496016, 0xcda33e29, 0xdabdb292, 0x591af344, 0x011572c5, 0xa8a64be4, 0x33a0445a, 0x756e11cd,
+    0x9809465d, 0xb8755a73, 0xbf54960f, 0xb2cb2968, 0xb19ab35b, 0xcaddd320, 0x65f1ba1b, 0xa87cb9b8,
+    0x52604480, 0x9798db19, 0x0745ac20, 0xab244841, 0x632e9614, 0xce8d793f, 0x10336ffb, 0xa130691e,
+    0x3d2d7c53, 0x5415a67b, 0x9b1914d6, 0x9990d7b1, 0xcf3f1eab, 0x95de1a43, 0x340fc0be, 0x9ba31141,
+    0x962a8823, 0x1355e052, 0x4c1b5a23, 0xce60b60c, 0xcd590856, 0x42067675, 0xd31fff2e, 0xad1d721b,
+    0xb8d90a8e, 0x3e48f579, 0x25dd0d3b, 0x0653bd81, 0x5dd30d29, 0x10839e1a, 0x0f574587, 0xcc97c136,
+    0x9c17ce88, 0x8c4319f3, 0xd5f34ed8, 0x63f6a629, 0x5ec08481, 0xc063c1f5, 0x8abbb91f, 0x45feb7b4,
+    0x0e13ebe8, 0xbc9ebae5, 0xb6eba8ce, 0xf9c96e32, 0x31b840c1, 0x82c9fdf3, 0xf4ce8d25, 0xf5a044f0,
+    0xe4f28e11, 0xbd670512, 0x80f1487f, 0x702e0cec, 0x640a82f9, 0x3712e017, 0x830bd940, 0x7bb673ed,
+    0x6ef89620, 0xc4bccada, 0xb7d11846, 0x456572d7, 0x05f06fe4, 0xfaf7bb9e, 0xb85fc672, 0xf36746dd,
+    0x3ed12762, 0xb0a98dc1, 0x66074ea4, 0x46834bf1, 0x579cc517, 0x75e42b2f, 0xc1a29592, 0x3883d532,
+    0xc3437ce5, 0xbcf546bd, 0x27a780bf, 0x714fdfd0, 0xd9c5c4b3, 0x357a2fa8, 0x8768dfc3, 0x7f73dad6,
+    0xe825ca96, 0xc7bf2f37, 0x0d68b611, 0xc45817ef, 0xe0389d4e, 0x4899e5d1, 0x17bd89be, 0x4f1921b9,
+    0xdb8e258a, 0x18179a09, 0x5d06ebf1, 0x83cca18c, 0x642b2f10, 0x92f4aa75, 0x66dd9a57, 0x69bfea8f,
+    0x51353239, 0xc14c11f4, 0x5bd75219, 0xed16fa47, 0xf28103ab, 0xc4549531, 0xf1417fed, 0xfd90300f,
+    0xb227f160, 0x1513ddb6, 0x7e5ed0ba, 0x784d00da, 0x30cd2a54, 0xd67b9539, 0x410cfa16, 0x59bb28a9,
+    0x2b622780, 0x96487872, 0x9d82a647, 0x1950e7cb, 0x2b72ad15, 0x2af2f47e, 0xae292605, 0x67e62a0f,
+    0x6657dd65, 0x002a5bed, 0x4e5a7119, 0xdc0aacfd, 0xe8a77dbf, 0xa5a1e41d, 0x58bafb82, 0x00df9b50,
+    0xce236d0b, 0xb689625c, 0x8726bf48, 0x5b4da947, 0x516cf689, 0xa7c5755d, 0x44e34f29, 0x7c885f94,
+    0x2308ea6d, 0xcf767a8c, 0xa2460482, 0x81f7e70d, 0xac6c9772, 0x8855c53a, 0xf306ab8b, 0x46dbbf23,
+    0x6e9fad22, 0xb997880a, 0x5d5011bf, 0x5d081cb0, 0x08c36561, 0x5f8f58b5, 0xb84825b5, 0xa7d334ee,
+    0x78a94020, 0x8253bad5, 0xf4b69a24, 0x760399de, 0xfd1aa6d9, 0x310890d0, 0x518a7c45, 0x71b0d91f,
+    0x1c388602, 0x89d697f7, 0x439d02fb, 0xbe9373c7, 0xaa6f56d8, 0x0a7a087e, 0x4658b89a, 0xc5b95d3d,
+    0x4540cfc6, 0x3a81d9dd, 0xd2f91662, 0x27ad3d16, 0x78ac6491, 0x6d978742, 0x4bce0f61, 0x770a0216,
+    0x196b2996, 0x3ca61280, 0xfef2c222, 0x665f7b48, 0x2ba70412, 0xf5705c27, 0x05c5157e, 0x1e0f9f68,
+    0xfdadf183, 0xfd994bb8, 0xbd0baf4c, 0x3db562f5, 0x41df5401, 0xf7026d24, 0x9a9cc3b3, 0x2c013a52,
+    0x3be48ec4, 0x381aaa60, 0xcf60062c, 0x60706964, 0x3ce212f8, 0x91cea48a, 0xc10c9bf5, 0xec84d911,
+    0x3890de0b, 0x8caada23, 0xcc445d23, 0x2a27d747, 0x3e8cd159, 0x2725c375, 0x1833c864, 0xdf372889,
+    0x549df858, 0x947272fa, 0xb5b46ae5, 0x1d8e82c9, 0x7becb3d9, 0x1b72c461, 0x25496c89, 0xf62a26f1,
+    0xecc11cd4, 0x0d35438c, 0x24cc1d2f, 0x1d536d44, 0xa92b357c, 0xd10f2766, 0x0b42c5a3, 0x03c4a3ac,
+    0x5e67fc0b, 0xc1374d64, 0x47246608, 0x8a9c7c29, 0x8c332ccf, 0x8ce608f5, 0x23fc0dd8, 0x3a5b7ba1,
+    0xecba7f3b, 0x58fdfb5b, 0xbae48e67, 0xc6a17cbb, 0x9ba5b4da, 0xdb2254cd, 0x8a3bfdf4, 0x3fc0721d,
+    0x5ae493fa, 0xaf085414, 0xacf73c31, 0xabdfe6c6, 0x2d13aad7, 0xa35b6ac4, 0x2ff68aa4, 0x727f24bb,
+    0x0a3c39de, 0x1a0918c8, 0x4b266e0e, 0xe3461222, 0x2a5efbf3, 0x83619cb1, 0x82059c96, 0xf2265973,
+    0x8698dadb, 0x4b42025c, 0x6932426e, 0x7ada4efc, 0x1c3fdec6, 0xb9bc1387, 0xded1c4e6, 0x78a8a002,
+    0x7fe56f11, 0x6b7fc69f, 0x8d7fd284, 0xe4029dd6, 0xd6ed6312, 0x8d03996d, 0x6eb74682, 0x714620b3,
+    0x4cce73c0, 0x75b9f1b2, 0x9eb9d873, 0x591d3c29, 0xa48d93a7, 0x6ec3d43d, 0xb9f7abeb, 0x77ff2414,
+    0xec0be55a, 0x62f7a832, 0x57b474df, 0x0edb4412, 0xdc878bee, 0xf528d366, 0x397b0442, 0x22e90cc9,
+    0x1caed18f, 0x8eb007b0, 0x81cde787, 0x30c754cf, 0xb8a3ed15, 0xcf450385, 0xe91734ef, 0x4ac829cc,
+    0xfeef706c, 0x451e6aca, 0x7d96608a, 0x2f11b178, 0x409661c4, 0x595c6ea6, 0xd6040cc2, 0xdd207e1e,
+    0x5756ae1f, 0x6eaa046d, 0x4bfe42b3, 0x759263e0, 0x62b98d42, 0xb810abc5, 0x3a957d39, 0x7fb2ad1e,
+    0x0fcd31cd, 0x1d0dc46c, 0xed1ce9f5, 0x04ea2396, 0x140438ad, 0xda1ea47f, 0x433e6567, 0xb955c443,
+    0x9f410ef3, 0xe0bbd343, 0x575329f9, 0x9c037ce1, 0x4d427946, 0x2009e4e7, 0xea8d24e2, 0x81695138,
+    0x2a20919a, 0x953def11, 0x095b8261, 0x6ee38d56, 0x8f935fe3, 0xd4a57f74, 0x0475b861, 0xbd5827db,
+    0x65a97a83, 0x90175a20, 0x94f37963, 0x36e60411, 0xed4a58c7, 0x715aa54e, 0x98be5cae, 0x5974dc0e,
+    0x047c3f81, 0x85be34d1, 0xdea3a09b, 0x482352a3, 0xc81ac544, 0x96f9e31e, 0x549a58ef, 0xfaad8aab,
+    0xaf1bba4d, 0x9752976f, 0xa79a0082, 0x44465a2c, 0x8686ac98, 0xb87daa06, 0x3ac2fc9b, 0xa1793efb,
+    0xd45bddb0, 0x80766d8a, 0x4efbb8ed, 0x75b54d87, 0xf5deed9a, 0x43e62a3d, 0x67a8649d, 0x3d91bf8e,
+    0xbc6fe6aa, 0xc83cb8d7, 0x76ddbca6, 0xf2f84855, 0x67b0a9ad, 0xd6bb5663, 0xaa1a2c02, 0x722c13e5,
+    0x5584853e, 0x460f2092, 0x08594966, 0x41b083eb, 0x7d8e6428, 0x50dc14bd, 0x9df1b9b9, 0xdf9e9dd4,
+    0x7677107c, 0xe766f033, 0x4a3cb290, 0x66f7b162, 0x7c85e4a5, 0x3c84d0cf, 0x13a0fe96, 0xf7a00532,
+    0xeabec522, 0x33863168, 0xb998065f, 0x78b4d5bc, 0x847ca8b3, 0x49060d93, 0x0533757b, 0x1bcd350a,
+    0x32f33a4d, 0xa6559d32, 0xb630b0f5, 0xc6f9d80b, 0x0abb2f92, 0xa9519efc, 0xad1ffa36, 0xf9840f38,
+    0x00000000,
+    0xffe56caf, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000524288 */
+  { 0x00000000,
+    0x58d00a18, 0x28ae5f7d, 0x76e30b23, 0x75c06133, 0xb3c0b74f, 0x20b1ff46, 0x0182ed94, 0xaf0b011a,
+    0xf3071401, 0x313b2880, 0x448aa83a, 0x8d8252af, 0x600e5c3a, 0x9ec6f802, 0x03f42ecd, 0x50e2031e,
+    0x6d8b6975, 0x84002a64, 0x1a510f8c, 0x39852a44, 0x5c5979c0, 0x5e90c8c1, 0x6f02224a, 0xb84c9353,
+    0x0c86e749, 0x224890d5, 0x894a417e, 0x55e3ee99, 0x9f8c92f3, 0x830b1f34, 0x9eb15bf7, 0x5827a763,
+    0x8ad88a81, 0xd3e9d6e9, 0x0afa46ff, 0xb050b3ec, 0x60e7085c, 0x7624ecf7, 0x9fc5d60c, 0xdfc82d0c,
+    0x49b4128c, 0x7e90df56, 0x2a9d6926, 0xd12bfc04, 0xc45afa49, 0xd8d17d7c, 0x58d3b63d, 0xf6c52b9e,
+    0x597b0d90, 0xfe8fddad, 0xe56e10c4, 0xe184dd35, 0x0ec80bf4, 0xc4ab5abf, 0x28962a20, 0x5c52f0e5,
+    0x1dc504a4, 0xadb21bb5, 0x9f1ef5e3, 0x8917ca8a, 0x8393307a, 0x89773b55, 0xb011228a, 0x7c8658c5,
+    0x4980b60e, 0x88599801, 0x8456b819, 0xe1bd119e, 0xc2e514be, 0xcf43d302, 0xee9fd4a9, 0xba5179ad,
+    0x8710cb33, 0x488fe36f, 0x8c57abe5, 0x2d305635, 0x35858267, 0x94d9c363, 0x14a16444, 0x221a3d10,
+    0xb05d1e1a, 0xefaf4feb, 0xfbccd7c4, 0x1ec69522, 0x7a7a7156, 0x05894ad3, 0x6fc2590e, 0xd61019ae,
+    0x2882c4d8, 0x7a91bb05, 0x5a30e6b5, 0x4bf94a8b, 0x91baf343, 0xe52f4d29, 0xe03b303e, 0x2259f850,
+    0x7dd0513c, 0xa7823954, 0xbda81781, 0x7b468ae7, 0xe6df1c1c, 0xaa1d67e9, 0x20613551, 0x406c8efe,
+    0xaaed6e79, 0x96d3e3e6, 0xa21f9229, 0xdc046f02, 0x85d080f0, 0xb6be6edd, 0x923627b2, 0x8e25503d,
+    0x4bfea2a9, 0xfa7d30d4, 0x493e534f, 0xda35d2b5, 0xd53d0f5e, 0x56919513, 0x66646ff8, 0xfa6ea32c,
+    0x1754c243, 0xba9db44a, 0xfafecc47, 0x197e2f28, 0xca34d7bd, 0x52a8f702, 0x958d3d71, 0x1be2c0f2,
+    0x5a356a16, 0x549bf7be, 0x9e402ec6, 0x42aa2495, 0xee0398e0, 0x8b97dbe2, 0xb7398b41, 0xfd0429ee,
+    0x875892ae, 0x91c617a6, 0x5897c3f4, 0xa8f10053, 0x63a844e9, 0x80c6f59a, 0xbfd116c0, 0x9d2d8177,
+    0xa644ce25, 0x13618f9c, 0x34569b9a, 0x6277b6a1, 0x5bda0754, 0x256ee653, 0xd6bc8e3f, 0xd597f3e7,
+    0x176da044, 0xe27f9cce, 0xbc549659, 0x75ce981e, 0xc253e40f, 0xbc9f7e33, 0xcad2b561, 0x2b75159e,
+    0x615a4dec, 0xcbf7a46f, 0xdd9575d5, 0xa168dc56, 0xb0f0b28c, 0x0f25fbea, 0x9bec1380, 0x6e2d53ee,
+    0x91d0b918, 0x3b7c18b5, 0xf8b7efc2, 0xe7817ad0, 0xe4b3b25a, 0xe169387c, 0xfa87d78b, 0xb713e7f6,
+    0xe3f83a10, 0x9c4de51e, 0xc559c065, 0x45c7fb5c, 0x9d8edbdd, 0xf7dee96c, 0x622b2c27, 0x181259d6,
+    0xf88b2de6, 0xf05a7a3c, 0xc29d476d, 0x41c0ed1c, 0x70d34e5d, 0xcde77d10, 0x011c1dae, 0x5e1b94ed,
+    0x1ba07854, 0xc6bc8508, 0xcbecc26b, 0x447669d1, 0xcb704b5a, 0x56649720, 0xfbb2dcdf, 0xaf3508fb,
+    0xccd87cbf, 0xcf5dee71, 0xf8b4f981, 0xe0e30284, 0xef408e43, 0x7633dec1, 0x58f9e546, 0xc0d396e3,
+    0x2238e89f, 0xae718aca, 0xc4a4a005, 0x381737e7, 0x3ed4b52e, 0x6d90e49d, 0xbd4d3b9d, 0x8b7cc06b,
+    0xd772d5a0, 0xa96456c8, 0x30142191, 0x79a4e527, 0x68adbcfa, 0x5bf77e78, 0xb94d21d2, 0xabc52b5d,
+    0x572933ac, 0x29da3609, 0x187b9e48, 0x283a61d9, 0x22c3972f, 0x5d7ed529, 0x36836bea, 0xd057c53d,
+    0x61dbd67e, 0x5778fd07, 0x79147fdf, 0xd3855859, 0x1d00488e, 0xd0f3a2f4, 0x7c9d4191, 0x0514275d,
+    0x13ede9c5, 0x4e098c4f, 0x0763e22a, 0x9a6248b6, 0xe39ecf67, 0xf0bbea23, 0x0f9db95f, 0x24112828,
+    0xc5c2370c, 0x055b4a48, 0xfb9c6ba2, 0xcef2d712, 0xe15e4a37, 0xa7ff52b2, 0x5ea14954, 0x93a99e37,
+    0xec4d104f, 0x09c57b1e, 0xad5cb7bb, 0x9ff84225, 0xee086a20, 0x47f058ac, 0xe0d05ed6, 0xa6905cbd,
+    0x90169997, 0x7ce18517, 0x2da7017e, 0xf36b2a83, 0xa386dcc7, 0xf636514f, 0x4841556d, 0x66915157,
+    0xab8cfa40, 0x4abf7c36, 0x0406121a, 0x36af1636, 0xcb358288, 0x71438d9f, 0xdbc9e5c8, 0x57cc2959,
+    0x0c5ca43b, 0x357b6f1b, 0xc6476eff, 0x9d434134, 0x31384682, 0x65c573b5, 0x51414734, 0xe6dcbb0c,
+    0x4ff5ee7c, 0x172b397e, 0x823d87ba, 0x31e2cbad, 0xe118802a, 0x16b49298, 0xc9d32bb1, 0xff62f0dc,
+    0x7003a744, 0xa547632b, 0xf9753191, 0x1477af21, 0xc35bac88, 0xdff04416, 0x5d0c6306, 0x4d679ecb,
+    0xd8c55113, 0xfbc88a16, 0x9353e799, 0x68d50c03, 0x02ad5baf, 0x18d59d47, 0xb401cdef, 0x749d2aa2,
+    0x5c4af04f, 0x0d40db09, 0x033f8d51, 0x43e046c5, 0x8de4491a, 0x7378baeb, 0xe4fa811b, 0x26ff57fc,
+    0x122912ce, 0x5b65d092, 0x2d2ec90c, 0xb3d3bd3c, 0x5a7fa35d, 0xc4d01b8a, 0x514ae758, 0x82f698ec,
+    0xa8e73970, 0xea8771da, 0xa36d9c1f, 0x9e93a095, 0x723f2f0e, 0x728733d5, 0xe44214ed, 0x8198f43d,
+    0x9385d6b2, 0x4c672ced, 0x658499d7, 0xc728f311, 0x0b1528b1, 0x60ac8f3f, 0xd55c3315, 0x6df5a3c4,
+    0xf7d86a58, 0xcd79cf8f, 0x3a7f5fda, 0xaf992f62, 0x57db2d3b, 0x8b22d0fe, 0xf79d18db, 0xfc62bae2,
+    0x80e1c746, 0x5cdf807b, 0x6eef89f2, 0xf9243c9f, 0xac800004, 0x769f91aa, 0xf86a7937, 0x51edd736,
+    0x24297dea, 0xf7331b34, 0x9dfe8324, 0x4de7ab96, 0xb21e6018, 0x241bbc9b, 0x2905c362, 0xc9709e70,
+    0x00cede47, 0xc71aa918, 0xe3f20766, 0x5261d728, 0xbb002bca, 0x410591f7, 0xed20913a, 0x25b635bc,
+    0xca28b94a, 0xe70b454a, 0x0ed6b208, 0xfc4813f9, 0xa037d7f2, 0x4914d821, 0x1654af94, 0x85141285,
+    0x5d52ff60, 0x6bd51ccc, 0xf3fd5e77, 0x9a77c728, 0xc05122f3, 0x65116581, 0xbb040485, 0x8af03c1f,
+    0xb6ceb03d, 0x1cb3e067, 0xaa32c388, 0xd879b4ba, 0x3369a77d, 0xa8288875, 0x3df4de26, 0x69d0a1b7,
+    0xd7ddfdce, 0x06d648ab, 0xe0edeae7, 0xd520daa1, 0x95098434, 0xe7a0db50, 0x31108d00, 0xcb2ce498,
+    0x1f15b166, 0x52347a59, 0x8152518b, 0x516ec922, 0x5d40e957, 0x227b43b1, 0x14125fcc, 0xf4bba4cf,
+    0xb3c7c9c8, 0xf75cba72, 0xbe26a7ea, 0xc22c8056, 0x29796460, 0xd2f39821, 0xe2ab563f, 0x6c5c52ec,
+    0xde0aedb4, 0x4843c579, 0x4ed8e4f4, 0x00b38f52, 0xf9bd225d, 0xafd897ae, 0xdf1cc7d2, 0xbed37a84,
+    0xac3af6ca, 0xf5044489, 0xeba5fbe6, 0x26df0f5c, 0x7b4f3031, 0xa5485de8, 0x663d7ee2, 0x9acfccf3,
+    0x275141ad, 0xd3eebce1, 0x352722da, 0x54b3a90d, 0xd10267f3, 0x620daaeb, 0x08fa46eb, 0x3a07b54b,
+    0x654d7a07, 0x27f908ea, 0xdcbc8988, 0xeb55b636, 0x82ab15be, 0xf835f48f, 0x43e5e9a7, 0x249421cd,
+    0x6e2e46ea, 0x3600da7f, 0x6fc1ec13, 0x551d8445, 0x3a5a3e9b, 0x14aba435, 0x38c03358, 0x7cbb3da8,
+    0x834fd984, 0x8384eef8, 0x4e16540b, 0x1a0d357f, 0x3df1f326, 0x23d1d28a, 0x1cf1e751, 0x92eda0a8,
+    0xcb606ba7, 0xb97858c8, 0x9982581b, 0x30a977fa, 0x6b87f6b8, 0xb83df01f, 0x81c6e831, 0xa8e04a77,
+    0xba08afe6, 0x8336e301, 0xf72be165, 0x8fd7f657, 0xdb609be4, 0x3413b3d5, 0x1bf97c87, 0x2b8faf7b,
+    0x6d2bb15a, 0x80606683, 0x8d528e9c, 0x06765e2b, 0x6ff04982, 0xce3c73ef, 0xfee510eb, 0x4d4d41a3,
+    0x46e4676b, 0xe96e3987, 0xd44d6aa2, 0x22cec106, 0xac52f5e1, 0x37933f9f, 0xd30011c5, 0x2d429112,
+    0x46139c52, 0x994cb8f0, 0xa11ca3b5, 0xe1b4c4f5, 0xdf7b9596, 0xd7590b46, 0x0a3d28e5, 0xb4db3498,
+    0x9158b5c4, 0x3211560c, 0x294b4004, 0x07d6a11a, 0x38878617, 0x2d46d733, 0x6d820b5b, 0xed9ab946,
+    0xdb0e0530, 0x9978db87, 0x0d9d5288, 0xe81355b9, 0x0f2ca314, 0x50f6b9ca, 0x886e314a, 0x1966edbc,
+    0x991a7b85, 0xfb9d4988, 0x840d7dc8, 0x5c916eac, 0xc5e7f504, 0x319966b3, 0x3a1593ef, 0x2bf17130,
+    0x1da71acc, 0xda9d66eb, 0x53c6a0a5, 0x2330eec5, 0x2e25209a, 0xc911d967, 0xbf300e49, 0x24e0090c,
+    0x113bce50, 0x53bc39aa, 0x223b52eb, 0x28a43b8d, 0x2851a482, 0x812fe9e0, 0x9af0d1ea, 0x05905cb9,
+    0x1a92662f, 0x25458942, 0x9ca8e65b, 0x01314634, 0xa84e9b26, 0x833deed9, 0x02a4dc5b, 0x0a0f35ff,
+    0xbd9c015a, 0xc8ec2d5c, 0x9a2dbf33, 0xf64bf9ef, 0x1b821f74, 0xbe010c16, 0xbbfd7763, 0x111281f3,
+    0xe01dbca3, 0xb599c92f, 0xd22fa1b7, 0x55b6e571, 0x3e79c418, 0x7e6bdfbd, 0x3b7965cc, 0x1f4066f1,
+    0xcf85ebce, 0xc91dbf65, 0xa9026312, 0xa79a0172, 0x424205b8, 0x0650c19e, 0xd2f23aac, 0x77791886,
+    0x42a59a3b, 0xebe522b2, 0x80368206, 0xac1a228f, 0x62577d91, 0xffdc23e6, 0xbaa5eb3b, 0xc7561a74,
+    0x37a3cc79, 0x4bde2729, 0xbe77d131, 0xa1c77a63, 0x916f44ff, 0x7e4354fe, 0x8e19513e, 0x2d6677fb,
+    0x648e1c7d, 0x44b5b403, 0x04865567, 0x1255b58a, 0x85985c80, 0x553b9d17, 0xc8965c44, 0x13aab055,
+    0x159bb12b, 0xd7568e00, 0x746c74c8, 0x33ce5ec8, 0x03f582c0, 0xef05dbeb, 0xdac2b18d, 0xf140a0dd,
+    0xcfa8c63c, 0x8d8d7f7b, 0x280d3312, 0xb136dcba, 0xf567c0c2, 0x88f9ae09, 0xbe7c44dc, 0xcefa4dd4,
+    0xc3af4897, 0xc32e1ed7, 0x07604d13, 0xd5150337, 0x5101db69, 0x8ab43d9a, 0x1d5dbd40, 0x46e4c092,
+    0x16fd60f0, 0x1e2bf255, 0x954bf9dd, 0x734cc24c, 0x672111c1, 0x30ddc299, 0xffbef4b1, 0x1da9b908,
+    0x3c70ebe6, 0x1ed15db6, 0xb2841332, 0x63cd37ea, 0x19e9f2e2, 0x00b87420, 0x6b1d9e6a, 0x3acb06a8,
+    0x18b4c64d, 0xdd59a9b1, 0xd9f3a340, 0x66eb6eec, 0xb58441db, 0xb3874fa6, 0x1542af19, 0x1efe909e,
+    0xf70b6c14, 0x3aba327e, 0x2cab788a, 0x40743111, 0xad0831ea, 0x5e73a7c0, 0x6a6d56ce, 0x4d7fcc25,
+    0xa3a9a7c2, 0xbd61228e, 0x40a4690d, 0xa3b4b7fd, 0x4b48ba71, 0xf8a6f47e, 0xd247686b, 0x73ae2620,
+    0xa3e9860a, 0xff3bc243, 0xe10354cf, 0x4c659a1f, 0x52123b50, 0x49cf2c48, 0xb8b79e66, 0x7781c73d,
+    0xf3056ba3, 0xc7b21d1a, 0x8ec4cacc, 0x230d43b3, 0x7cb28bd2, 0x98118827, 0x1c98a9c6, 0x3297d863,
+    0xbdd62d3f, 0x2bf3529a, 0xb1e24d76, 0xfc1c0328, 0xf81a0438, 0x2fbd1e10, 0x898974b6, 0x669568c6,
+    0x58a4a1a2, 0xafa24105, 0xda27f116, 0x5d5fd611, 0x31a0119d, 0xe743fc15, 0xcbf770b1, 0x3e170919,
+    0xcf3c40d2, 0xe6287976, 0x336b0c5f, 0xd5dc8b05, 0x32d78e1d, 0xd28807bc, 0x4349bc2e, 0x4c9a28bd,
+    0x159e1ef6, 0x1b69572c, 0x5ed29bd6, 0x82b4335e, 0x92831500, 0xb69d9ee1, 0xb1f82a53, 0x42426fbd,
+    0x7803d801, 0x0bbf0ea5, 0x6807f35f, 0x5159c0f1, 0x2e205840, 0x34a70fb6, 0xed113459, 0x50652d7b,
+    0x42f84161, 0x378c9122, 0xc2d64533, 0xc061a996, 0x3dc33b6b, 0xc7fca6b9, 0x3f2fdb5b, 0xc4d2974d,
+    0x9a1e1c9a, 0x29f91ca1, 0xb9234564, 0x4b30f32e, 0xdba90b9a, 0xcb7c2b7f, 0x2dfd0987, 0x62e55819,
+    0xd2a7cb94, 0xb868517b, 0xe2d5d1b5, 0x5b04e376, 0x0b9b420d, 0xae6ef497, 0x59b2fdad, 0x31c9facc,
+    0x28aa7aed, 0xddc8e2b7, 0xda16e223, 0xda10bfbe, 0xbe2f21b8, 0xb8394a45, 0x61c3b46c, 0xbb6ea57e,
+    0x886f78d7, 0xc0c085a4, 0xf2a228fb, 0x0dbb6932, 0x629ca036, 0xb6d6c757, 0x72351731, 0x88e2a462,
+    0x60849ac1, 0xdbd2b477, 0x4fd2ebba, 0xc26a7040, 0x97335e41, 0xc161817b, 0x6ae62c6a, 0x2869194c,
+    0x45ff1826, 0xc62efd6c, 0xeb7fc00d, 0x338ccb67, 0x57006163, 0xd508bb32, 0xba04f534, 0xd715a1f7,
+    0xa1522b6e, 0x9e8628f7, 0x3431b018, 0x8990f31e, 0xd0f3da4c, 0x10cbd37c, 0x923ef434, 0xff845fac,
+    0x685df0ff, 0xb95d5dca, 0x960deb9f, 0xe60395a9, 0x94797c5a, 0x90dd07fd, 0x45977ff4, 0xe5d4bb98,
+    0x1f60fcda, 0x2590a9c4, 0x9d760020, 0x256b4106, 0x0923747a, 0xefa109e0, 0x3d2c763f, 0x5eb57135,
+    0x87c8205d, 0x37c66393, 0xe9c74c1c, 0xf3dd808d, 0x15228306, 0x0f9014cb, 0x2817585d, 0x688e8e54,
+    0x9376d322, 0x1a52025e, 0xfa85e41f, 0x63de552a, 0x70eb8af6, 0xfe25fea9, 0x55b11d0a, 0xe8b0a5df,
+    0x665fc662, 0xb5a26ede, 0x6debb519, 0xcd923b2b, 0x99c3bffa, 0x4479966d, 0xd890a29f, 0xdb810f35,
+    0x31270c6a, 0xbfb4a424, 0xe47ba3d1, 0x3968fd34, 0x79bac5ae, 0x29e45f77, 0xc7b7a04f, 0x307db8e7,
+    0xbc7d1616, 0x96c922e8, 0xc860d50d, 0x15ae6e4d, 0xd117da3e, 0xa5aa4a10, 0xcb92d7ff, 0x2a0682e8,
+    0x8c5f25bd, 0xc244d902, 0x852dfe77, 0x5417e680, 0x3a1b8ab2, 0x72f9a198, 0x30fb8d99, 0x9ed39227,
+    0x3e16a11c, 0xa369cd7a, 0x3547f260, 0x3a27328b, 0x2d8e3212, 0x69700439, 0x801d7e5a, 0x52987af0,
+    0xd6e0024a, 0x439463a2, 0x4b5406f3, 0x133faf40, 0xfe679e93, 0x4c24ac58, 0x0e4c79e1, 0x18f18585,
+    0x91a5a2d1, 0x9ff589c3, 0x07ed5ee0, 0xd143cbe3, 0xed1d93bc, 0xbb23ca59, 0x2a0bdfd0, 0x829a5a75,
+    0x8535cd08, 0x9adfb394, 0x215a4a10, 0x9c0e58c1, 0x862f26d6, 0xc8ada2a7, 0xa79be8a0, 0x36ade123,
+    0xe0178e42, 0x25ac1e4a, 0x0cbc3b94, 0x25e2751e, 0x090f6dc1, 0x553e7169, 0x437710e8, 0x8936b7c4,
+    0x59901801, 0xa46a3781, 0x7a57d409, 0x4c272467, 0x5ea31be5, 0xa47eb506, 0x1c6ddbc6, 0x2a401726,
+    0x9cb68101, 0x1801cc9d, 0xff7f5174, 0x2f814458, 0xb81d6976, 0x31e02903, 0x95f47341, 0xee1afda0,
+    0xd46521b0, 0x55baed06, 0x55b45c59, 0x21c683a3, 0x6c6f7265, 0x9878d617, 0x2e008457, 0x3f2da6ae,
+    0x1f42adfa, 0x3f24235b, 0xda1e62cb, 0x9c318a3b, 0xffd9dd14, 0x4e346509, 0xeed4207b, 0x587bdd70,
+    0xf8eb5135, 0xe0feae17, 0xb5ac5c2f, 0x19dad497, 0x502300f0, 0xaf275566, 0xcb1d4301, 0xbef6b44a,
+    0x2760bc18, 0xd76e90e3, 0x94babf5f, 0x2d477bf6, 0x6c434943, 0xd6c2beed, 0x21383578, 0x540a5093,
+    0x5d829571, 0x39c6eeb9, 0x07b3db8b, 0xe4470c18, 0x63d67f70, 0xc749e38b, 0x5e4df4cc, 0x15ee2c52,
+    0xcae73e99, 0x273caee8, 0x3bfd2448, 0xb39d31dd, 0x70cc6ffc, 0x90da46dc, 0x2ca19384, 0x51033e8a,
+    0xa67ed84a, 0xef21cd9f, 0x52290b7e, 0x3a2717b0, 0xce445a0b, 0x9cc7510c, 0x46f29548, 0x84f62c9f,
+    0x97148658, 0x1bebe6d9, 0x4748a9a8, 0xf6c2bd3c, 0x3ec9021b, 0x5bac43fc, 0xb28a6f30, 0xd9e9bd4a,
+    0xb9523408, 0xe413d640, 0x45ff295d, 0x27db40c6, 0xa376b768, 0xea2eda35, 0xa4b92c53, 0x7248749e,
+    0x515c2afd, 0x9ad84a59, 0xd929471c, 0xa2ff6a5f, 0x33dff257, 0x68cf27fc, 0x65fe5ced, 0xf54bbb4f,
+    0x73ddb6d3, 0x6c81d64a, 0x6cdca200, 0x6c131d93, 0x5adec36e, 0x3d261d33, 0x86351fd6, 0xbdc54d6b,
+    0x6531f7d5, 0xee919160, 0x482448ca, 0x4b17aa38, 0x01cf3b1e, 0xc34ec2f1, 0x9d3f7af4, 0xb2b64ef1,
+    0x00000000,
+    0xfff2b657, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000262144 */
+  { 0x00000000,
+    0x60609ac1, 0x6a8879c0, 0x90bfce89, 0x7908a864, 0xdca096c4, 0xd8938202, 0x35c7636a, 0x0f4608dd,
+    0xe7d7ef1d, 0x00639e93, 0xf91bbef8, 0xdd5f5d63, 0x4ebb2c8c, 0xd94ee84e, 0xee4b041c, 0x61d10e67,
+    0xb2ed05af, 0x0d8cbf16, 0x05b0ade2, 0x856516ce, 0x3c2a9479, 0xba9c7861, 0xe9dda1bc, 0x7c3adb8c,
+    0x0c0889cc, 0x8773adbd, 0xffb864fd, 0x6e31fa85, 0xd697acf3, 0xf41a80a4, 0x82437c2b, 0xfaf1fd83,
+    0x3ebbba5d, 0x5500da68, 0x65b810aa, 0x93ac8290, 0xbaa236a0, 0xee2fd702, 0x283d1e7a, 0xc7921957,
+    0xde11c4e4, 0xc4f1742e, 0x1ef9b422, 0x2c44f829, 0xd6c23160, 0x0696a68a, 0xa10adde8, 0x07d04bdd,
+    0x2e8f8f78, 0x51935077, 0xfd6b81da, 0x25d2a6e3, 0x5322f176, 0x150e221b, 0xa4ee3090, 0xee95f7c0,
+    0x95a57e4f, 0x79cfe249, 0xc24dec4f, 0x9ca11e63, 0x4e5bae24, 0x7d0ebec6, 0x91a9bcde, 0x9b2beb22,
+    0xffcbd03f, 0x68ff61db, 0xa8608c27, 0x60978c42, 0xbefe266f, 0x49aa8f92, 0xbddaa911, 0x201c6d80,
+    0xedf7afcc, 0xf8243fe3, 0x6d7dc565, 0x6cd313b2, 0xfeb7fce2, 0xed33c968, 0xb66cb78a, 0xc26f30a7,
+    0xd6a503ca, 0x206680e2, 0xe0b026db, 0x0e6409e5, 0x856832c9, 0x360d7971, 0xf262158d, 0x67df688f,
+    0x71761431, 0x5e386834, 0x11f57a7c, 0x51ee8ea6, 0x743f5f35, 0x94e93aa9, 0xd605c07d, 0x94038d6f,
+    0xdc8172f7, 0x7b30087c, 0xdf29ccb1, 0x172e35d3, 0x4776f263, 0xcedb5ed6, 0xdf6a11fc, 0xf483d94e,
+    0x8645844d, 0x2ec0db85, 0xa6460e81, 0xbeacb50c, 0x66506ca9, 0xe9366b15, 0x36778870, 0xbc57b520,
+    0x51fc9e13, 0xe058afa8, 0xb1e66faf, 0x37630055, 0x502f3024, 0xd80b4100, 0xd24864ad, 0xd16c4d9c,
+    0x20172943, 0x6c8e094a, 0xfb4dd7b5, 0xaf4d3047, 0x02779e84, 0x36dadd6b, 0xcba662ed, 0xbf569fbb,
+    0xb871e5fe, 0xc2ef06d8, 0xbd1c559e, 0xaa8e9ef0, 0x6bd0b532, 0x03913657, 0xe7017e46, 0xbcdb61ab,
+    0x688dbd03, 0x18e7dcea, 0xd0f44780, 0x0f573aaa, 0x62370e55, 0xe2f83bab, 0x5f439c6b, 0x075cb17d,
+    0xf8358061, 0x8ddb3ce2, 0x37996717, 0x56239d1c, 0x93076f19, 0x55f08768, 0x7fe3412a, 0x23cc83d4,
+    0xc4e18990, 0x59942baf, 0xd660a201, 0x27882c1e, 0x9089c772, 0x8c16a92e, 0x18ce4a14, 0x987520c0,
+    0x6a57bcb6, 0x37620eff, 0x51a038ff, 0x9314f072, 0xfb9629d7, 0x5086a8cb, 0x5f962ba4, 0x59532467,
+    0x3934ff12, 0xaa93f42d, 0x396e3526, 0xdb9592a0, 0x8b040928, 0xbae9aa0f, 0x45799fed, 0x860f5b91,
+    0xf0dd86e0, 0xfa4d234f, 0x07b83e0b, 0xb747ddb4, 0x0deb71df, 0xc32a794c, 0xc3bb74dc, 0x5f78352a,
+    0x81ffc73f, 0x0e399aec, 0x99bbb261, 0xf0fd84c0, 0x57283745, 0x0639fcd4, 0x9bbb5ece, 0xa4f382c6,
+    0x5e9b2951, 0x437bfb62, 0xf853e567, 0xa58bd237, 0x190f1e04, 0x3cf8c447, 0xd0062035, 0x40c8f0ac,
+    0xe9512fee, 0x56f25c9f, 0x3aef240a, 0xdf154b56, 0xce0a1d42, 0xc433e907, 0xe8918948, 0xbe195fbd,
+    0xa43e7236, 0x8631b617, 0x648235d4, 0x5f6b692f, 0x73e7eb47, 0xe260c233, 0xff745c0f, 0x8c7a81ec,
+    0x1bbc18df, 0x5b1c0cce, 0x27970af1, 0xa1ec2524, 0xc37847b3, 0xa13546b8, 0x6c0183b4, 0x256e635b,
+    0xcf352195, 0x03c7cb77, 0xd955e48c, 0xd5ae9dab, 0x54867a3f, 0x637f8b3b, 0x274e7454, 0xb0480124,
+    0xb2e2f7f3, 0x006baaf3, 0x1751b249, 0x505fdcdb, 0x1bb8955c, 0xdd0d868f, 0x7df29dfe, 0x5c09029a,
+    0x69877a4c, 0xf9f0e193, 0xe723b60d, 0xe1589999, 0x04430e68, 0x4af77cdd, 0xa6237f9a, 0x4869dcf2,
+    0xbea1fb94, 0x508f95ef, 0x8201a085, 0x074dcb8e, 0xd4138f7c, 0x7a854236, 0x83c284ff, 0x8f84bcb2,
+    0x9e0af62a, 0xcd3931ea, 0xd8d40d21, 0x7dcc34ca, 0x0fbedf96, 0xabbdb1ce, 0x550f8a22, 0x1a79db91,
+    0xfa100515, 0x1281ca0a, 0x502dd374, 0x714d907d, 0xd80a0956, 0xcf6984fb, 0x03907778, 0xf73b65b9,
+    0xa1d7a11f, 0x60c42856, 0x8470d743, 0x6422c0c8, 0x5fc400bc, 0x78cb3493, 0xdb54232a, 0x72e241e9,
+    0x6298b40b, 0xf3541744, 0xf17f8a2d, 0xfc49adf4, 0xa6c29925, 0xc2efd495, 0xb14009f2, 0x7bc82098,
+    0xfc851dc6, 0xd0157dd3, 0xb5ac6797, 0x93151b68, 0x4277521a, 0xc479a809, 0xabb27895, 0x148a435a,
+    0xcb0b231d, 0xbf2fcf11, 0xe20ba028, 0x9e1db95b, 0x730a1c55, 0xf6f8b54c, 0xab5585f7, 0xbedb0071,
+    0xc5aa6e80, 0x60c15cca, 0x7829104c, 0x3383a1b0, 0x5b146e01, 0xc6b54a41, 0x8c231925, 0xab024368,
+    0x79f418c8, 0xcf6c7144, 0xa3eb4dca, 0x584c22e6, 0x05eb1e08, 0x533bb83c, 0x4ac52b7f, 0xdc55cca2,
+    0x15ce434e, 0x4a3148dc, 0x5929b81f, 0x32dfffeb, 0x9a260d16, 0xb6b3c653, 0xb50ca488, 0x971e9174,
+    0xfeed1d48, 0x5705ffb1, 0xe0177769, 0x94030acc, 0xafa8aa6f, 0x920c19be, 0x5e1d0062, 0x1000aafa,
+    0x5d866105, 0x1511555f, 0xa84b9f00, 0x29debc15, 0xa8e2b9a0, 0x7cb985d5, 0x60298d58, 0x6f45fc4d,
+    0xac74c7bd, 0x5750c33f, 0xe100df6a, 0x0df85881, 0x75fff3d8, 0xabf4d481, 0x194a5612, 0x2606b060,
+    0x8bf0de51, 0x7223df85, 0x56b5f47b, 0x179d00f3, 0xdda0f7dc, 0xfbb0c61e, 0x4def4300, 0x121490b5,
+    0x56bb2bb8, 0xbe89d089, 0x7808d214, 0x8c837ce8, 0x01e96f17, 0x4c6f287d, 0xb447cece, 0xa0863532,
+    0xa14c1861, 0xd88e7537, 0xc5e369b1, 0x3daa845a, 0x9455ccff, 0x0996335e, 0x0073077b, 0x7797a37c,
+    0xa62d88e9, 0x6c70a96c, 0x71419700, 0x38fe156b, 0x980de24b, 0xb1a6263d, 0x337fd429, 0x984b1ddb,
+    0xa1e6e37e, 0xf5cb356a, 0x9296346e, 0xcf614e94, 0xd9318299, 0x009d7bf7, 0x012c8072, 0x833d066b,
+    0xa6c333f7, 0xb5b143f7, 0xd2f2b4d2, 0x07383ee7, 0x88e232dc, 0x40b5dd52, 0xbded26c7, 0xe65cad7a,
+    0x543ad6b2, 0x893af7c4, 0x22a3fc3e, 0xbd3aeb3f, 0xd8960b62, 0x40c88219, 0x9ece774c, 0x186baeef,
+    0x170c012f, 0x705ca9e2, 0x5a9377b5, 0x0e76c539, 0x31a9d7d7, 0x48077dbf, 0x045f2480, 0x6722811b,
+    0x18444142, 0x229f9ed5, 0xdf278175, 0x6e499a05, 0x8c92c1f7, 0x8dfa72fc, 0xb203c2bc, 0xea9e49a7,
+    0x8c9b8b03, 0x5bad3068, 0xfdd6d6bf, 0x68066336, 0x5366d8d6, 0x8f0f1bf4, 0x14c76931, 0xabcd09a8,
+    0xb7259bfc, 0x394495d5, 0xce8adc07, 0xe402ef77, 0xc318584a, 0x7bcf07bd, 0x52846acb, 0x7afd7be9,
+    0x6c5ae9a9, 0xa58c3748, 0x49ce6d67, 0x8f8e1b07, 0xa824b58b, 0x4b3b085e, 0x3c8bdb6e, 0xa1af3c09,
+    0x47be9b49, 0x857fa7c8, 0x216fb05a, 0xa23f7e20, 0x05f5deb0, 0xbf82544a, 0x8d0ac184, 0xee3e615d,
+    0x622755b4, 0x46b985b3, 0x68b48168, 0xd5fddd43, 0x7f542712, 0xdcb4a61c, 0xf866fbf6, 0xed5b878f,
+    0x89c14ee2, 0x3f3817dc, 0xbe0c4e09, 0x02dcf61d, 0xbd298543, 0x8e1f9563, 0x58c311c7, 0x833e9e69,
+    0x23431d61, 0xbaed2763, 0xfd6b1b33, 0xd287c46c, 0x772e28cc, 0x2b06eece, 0xbc102b18, 0x61f8e081,
+    0xe54d68a2, 0x551ff419, 0x8de675ee, 0xcc97d34a, 0xa2a949f8, 0x56ccbaa4, 0xadd88a15, 0x9c893225,
+    0xbe99754d, 0x0e09ca12, 0x998bc8e8, 0x6888d925, 0xd562add3, 0x1f06c24c, 0x48366e44, 0x513b92bc,
+    0x2845aba2, 0xad696303, 0x8d8d423f, 0xea104afd, 0x855c397f, 0x9469d632, 0x31b324c2, 0x23cbe62b,
+    0x8cca0894, 0xca11f669, 0xade93915, 0xbd31806a, 0x03656d13, 0x43bb361e, 0x195cc090, 0x74b9baa1,
+    0xcf0391f4, 0x3fa36b21, 0xf03a6ed9, 0x78a35d4c, 0x56812123, 0xfabbc4e6, 0x6c1bf074, 0x0c318604,
+    0x7ef404da, 0xf4b04569, 0x1881b78e, 0xd1e5199b, 0x37ff0758, 0x66dcf0ae, 0x350cc965, 0xf9f0bdf4,
+    0xd463517e, 0x430a105e, 0x15f7031c, 0xa3e8f687, 0x387b5a10, 0x216e06fd, 0x6ca648ce, 0x58a436aa,
+    0x3ce3b95b, 0x24fa39b4, 0x46d8b097, 0x9c2d01b6, 0x6e1ae738, 0xec3a5b02, 0x08592d95, 0xafb236d3,
+    0x8ada6ad1, 0xbee97586, 0xdc9ba41d, 0x6e556991, 0x23bd8994, 0xf3e6ac18, 0xfc18302d, 0x35602e9d,
+    0xce9a1c0d, 0x6fb93ee5, 0xcbd3a959, 0x157d4b43, 0x6da402cf, 0xd50ebdba, 0xf956a618, 0xe0966e85,
+    0xc6a4b023, 0xd9aee856, 0xa7a28c09, 0x97c8942d, 0x20eb4001, 0xae4dd915, 0x438dac0c, 0x4cde9ab3,
+    0x2e79ff4f, 0x008101bb, 0xf3a9ef43, 0x2164c271, 0x0c08a5a7, 0x3ee146a8, 0x01b4b94b, 0x456a6390,
+    0xd6d194f5, 0xfa049a82, 0x4ca86729, 0x2e8dad97, 0x5671b2b4, 0x3238f03c, 0xd0f6c82c, 0x2b889af9,
+    0x85eb388e, 0x03a161e9, 0xb34442cb, 0xbcbae065, 0xe019d24e, 0x7b0e36a8, 0xd9d6ebdc, 0xd3a79785,
+    0xbe4b479f, 0x83e58631, 0x843aa751, 0x4a38e749, 0xde61a810, 0x40bc5fd8, 0xcbc61b78, 0x26bb4d84,
+    0xc22d827b, 0xd573ff5e, 0x3f7b98ff, 0x8c497297, 0x5815844d, 0x0af56074, 0xc8b140ff, 0xee057cfb,
+    0x8515e660, 0x62517730, 0x92cf0fa1, 0x7302aa4e, 0x6546407c, 0x6cd48bfd, 0x648b2330, 0xabeba0c9,
+    0xc2c2f4c4, 0xe45a94de, 0x0b401faf, 0x0fd75e05, 0x37f09e03, 0xa679353a, 0x26f96074, 0x963d1647,
+    0x1be093ba, 0xec8fe7a5, 0xdef9785d, 0xe47fff14, 0x6c2b5d98, 0x7edeeed1, 0x479fcf95, 0x1a4f8ab3,
+    0x3c828987, 0x6d1e19ec, 0x2bbde775, 0xae327743, 0xf4e31a1d, 0xfb46e573, 0x403afdc8, 0xa5a81d76,
+    0xc942887e, 0x3512c638, 0xf084c352, 0xf7ce798b, 0xfce2feba, 0xbf565013, 0x50493742, 0x27144daf,
+    0xd81330dd, 0x4e12ee9a, 0xb79cd114, 0x5928ac08, 0x2ee9fcf5, 0x51549438, 0x3b683448, 0x436bbe40,
+    0x05cd34f7, 0xc44255f8, 0xcd2371a1, 0x5442bb88, 0xc85bbe53, 0xb326ef44, 0x09662385, 0x7c49b423,
+    0xdb71aa8b, 0xa08596e0, 0xddcbb094, 0xabd5db2c, 0x8dd313e4, 0xe5c31787, 0x6ae3cce7, 0x1fd99f5d,
+    0x12bb9e3b, 0x0702d532, 0xbbdf8a39, 0xaa113453, 0xfd4b6f6a, 0x5750510b, 0x9ff61d35, 0x1634f1b0,
+    0xb4c2d297, 0x85edca7a, 0x51e0d7da, 0x14be27ed, 0xc5035fca, 0x3be304d0, 0x65088051, 0xbfb607ab,
+    0x56559d7e, 0x688fab41, 0x001aa6ea, 0x7377936c, 0x7603e529, 0xad00994f, 0xb2b85859, 0x88ad00ff,
+    0xc02d0cc1, 0x6a200b5a, 0x71dd1c88, 0xbd7b814e, 0x846d044a, 0x1b1211ce, 0x63f5f9ac, 0xd5591322,
+    0xb6cf0fb7, 0xf344eb1b, 0xdb506991, 0x0414c10f, 0x235a3ecd, 0xd6c8f2d6, 0x3ec86c5d, 0x77f2e93f,
+    0xf41819a7, 0xe9b11510, 0x98cc17d5, 0x56ede6d1, 0x0dc16dbf, 0xcbc28f2d, 0xe3a3cd42, 0xf26a3cef,
+    0x22567d19, 0xd6117360, 0x31f0e1e3, 0xad9ef64f, 0xe9a4a9d4, 0xd601c45a, 0x7c1bb54b, 0x5e4049a9,
+    0x3fa48ac1, 0x0df3414e, 0xe4b19516, 0x693018c5, 0x2a0b85bf, 0x7825bee2, 0x64e5e39e, 0x863a8871,
+    0x63eb80ac, 0xaca47fe0, 0x41f764c3, 0xae2b261f, 0x13c15276, 0xf8d18d9e, 0xfe014b7b, 0x0fe7ac55,
+    0x593808c1, 0x32e24937, 0x2f837236, 0x4f14ab4d, 0x6b116523, 0xda1d3e8d, 0x4c90b055, 0xa51f8051,
+    0xe0f5ab8b, 0x7d0b6c01, 0x8afd76d0, 0xc2d0b471, 0x3526c363, 0xd65cea86, 0x9699880d, 0xe6b2c26b,
+    0xe3dd4914, 0x7f6f250b, 0x542d7487, 0x9219542e, 0x4f0826fd, 0xe9293812, 0x40ccb7fa, 0xe9bfbc50,
+    0xc5d0e3bc, 0xc8d95c7b, 0xfc2486f3, 0x0ff1a627, 0x3bef7900, 0xd34c4329, 0x67a97fbd, 0x56859d89,
+    0x7958ba1e, 0x775a8cff, 0xcfcbe922, 0x69161a2f, 0x323d2994, 0x71698245, 0xe81bbf16, 0xdb6f84a1,
+    0xf2926675, 0xfc8d9dce, 0x59848b4d, 0x1926fb31, 0xe701a3e2, 0x4d9fe73b, 0x76565310, 0x874e6149,
+    0x821bdc01, 0x516f845f, 0x4f62fc59, 0xede625e2, 0x54001b73, 0x9cb07d30, 0x64185ebf, 0x1b76d1b0,
+    0xe6220f11, 0xac33076b, 0xfb04a166, 0xbbf29052, 0x684048b9, 0x96a90fc5, 0x8a37f2cf, 0x4c75097a,
+    0xdb67c017, 0xc336ddc3, 0x87bb4f45, 0x42addb50, 0xc4cd640a, 0x806ba8ae, 0x11453417, 0x1d204ae6,
+    0x2a43f279, 0x54b1fdcc, 0x630135f8, 0xd907f062, 0x714d07a8, 0x2cbcd370, 0x52cae82b, 0x85812f1f,
+    0x78a30799, 0x407a6e9a, 0x51071206, 0x2470d415, 0x44f47769, 0x0658af11, 0x9c8e0a4b, 0x2f9cd124,
+    0xef1831bc, 0xcf0dd94b, 0x56b48949, 0xa21e7e5c, 0x47c027e3, 0x639e69db, 0x6c54a005, 0x34965021,
+    0x6192682e, 0xf62db061, 0x329b01c1, 0x900f1b3f, 0xf2ecbfda, 0x7cdf2d3c, 0xdf4f9dfa, 0xc4983c7d,
+    0xb6334a25, 0xd0ed4852, 0x220e0c8a, 0xfa193578, 0xb53b09e9, 0xf4e8a1be, 0xbb7f1551, 0xd3109877,
+    0xd25ede30, 0x2d98a525, 0xa7ce9819, 0x62c4f3ff, 0x88909b10, 0x549532ce, 0x3c384edb, 0x259ee9f0,
+    0x10a2a15a, 0xcf9587ed, 0xf903042c, 0xccd79507, 0xae17eb3e, 0xeb4cffc2, 0xcb7a7f88, 0x56710187,
+    0x0ed4336c, 0x2c02188b, 0xbad1f69d, 0xbe614134, 0x21058c30, 0x812be5c0, 0x3e63e0ab, 0x633f138f,
+    0x2d781dbe, 0x1f744042, 0x54ca0d05, 0xd5e71fd0, 0xe5327cba, 0xc6a4d625, 0xc06c8e30, 0xf99c10a4,
+    0x8c7e6702, 0xd698bf51, 0x24ec91c9, 0x23d15f2f, 0x6e19b78b, 0xfd5cd63d, 0x404dddd2, 0xd42dbf66,
+    0x3febea39, 0x54c155bc, 0x95128d00, 0x1cc1160a, 0x2ad0fa29, 0x0837a2c4, 0xf70bdc40, 0x9e36b4d9,
+    0x1ae5dff6, 0xf4306ae8, 0x26b226c5, 0x61193322, 0xa484bdcb, 0x6e237f37, 0x4c1f288f, 0xefa50321,
+    0x7efe35d1, 0x654ebac8, 0xf4040f40, 0x686e1ea5, 0x45b9b9a2, 0x59d96785, 0x9224d41a, 0x8a3070db,
+    0x9394340e, 0x90b3c473, 0x8c042b56, 0x0ecd70be, 0x4539d032, 0xf59fe509, 0x56864ef0, 0x08a5a212,
+    0x747f46f8, 0x092d1641, 0x56365818, 0x6b9e190f, 0xed5eee4a, 0xce90551a, 0x4e31ec0a, 0x905bbceb,
+    0x096b526d, 0x5ae863b2, 0xc185a02a, 0x3e9b3954, 0xed325b45, 0xd0f1fee3, 0x556b13c8, 0x317950e9,
+    0xf4218b81, 0x39ade15a, 0x7fb73813, 0x536da62e, 0xcf2cf4f3, 0x98dab2a0, 0x64a154fd, 0xcdf3f56e,
+    0x0d7ac20b, 0xd28f29be, 0x13dacfd9, 0x8b1110b2, 0x6e08deda, 0x157cfb41, 0x3886f3b6, 0x8df92e1b,
+    0x787d5b2c, 0xf3abddb5, 0x47ffd7e7, 0x1f2c039e, 0xc71f9814, 0xe107ac05, 0xa0fc59d4, 0xf09e139f,
+    0xa30b8dfe, 0xf5d7f999, 0x2a230ea9, 0x7a35945c, 0x6608e585, 0xa72f337e, 0x8302a8ef, 0x35f6c234,
+    0x8336752e, 0xdfec41f6, 0xe5375369, 0x420b7862, 0xc5e38342, 0x2e5310ec, 0xd97b1add, 0x14fed527,
+    0xc22ede3e, 0x758eba53, 0x0a398cc9, 0x44d55f83, 0xbb3343af, 0x663d0c8f, 0xa9bdf612, 0x93d7eb61,
+    0xefcc545c, 0x19fba1df, 0x38d6228f, 0x32193881, 0x7dc75bc3, 0x2090f835, 0xbfa41e54, 0x6c03ed24,
+    0xb5d01eac, 0xfec838f9, 0x168e9301, 0xfb30d3b4, 0x8e195e6d, 0x58600399, 0x21687655, 0x973ecee3,
+    0x00000000,
+    0xfff95b2b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000131072 */
+  { 0x00000000,
+    0xf24003aa, 0x26bcaa89, 0xb6741461, 0x027f7f65, 0x7af5ccea, 0xba343b3e, 0xe8fd52cc, 0xa133e4c2,
+    0xc635b075, 0xd94144ab, 0x38532167, 0x9029469a, 0xb46bce86, 0x564218fc, 0x71ec079f, 0xee4b94ab,
+    0x0bf352a4, 0x5a87137c, 0x9edec5f9, 0x5a869e5c, 0x68b40335, 0x5406b533, 0x8d4c3b76, 0x3bcb8ab3,
+    0xe9666292, 0x8922185c, 0x080d4b23, 0x1c2e25d2, 0xb8a35925, 0xc8193390, 0x64422407, 0x9c02768f,
+    0x8213124f, 0xdd47c82b, 0xf47f01d9, 0xfde80a80, 0xa4d19381, 0x2b0a35f5, 0xa1cbe92e, 0x7bff10e1,
+    0xadbf0b89, 0xa9b42091, 0xb21a6845, 0xc4c4aea2, 0x7a8819ff, 0xe8d7b9de, 0x9d909c38, 0x12bc0262,
+    0x469b155a, 0x9ee86046, 0xb90de288, 0x8e8d896e, 0xefec018f, 0x5ab554a0, 0xbf8e38f5, 0x1f9f8aa2,
+    0x60a11970, 0xd4c54355, 0x7c8a1b8c, 0xd89adba1, 0x6e7745e3, 0xa2d8ca33, 0xff3cdd25, 0x07114c17,
+    0x5d2b85c9, 0x7e9d6a95, 0xae770654, 0xaef53f19, 0xb71272a6, 0xd9db0e87, 0xb9aac669, 0x5f671551,
+    0x5dd1b748, 0xfb61488d, 0xc95e8296, 0x577ee6d2, 0x8e9d0548, 0x0bd65c4f, 0x3db99c10, 0x91d76e40,
+    0xdeb14c53, 0x16443260, 0x6a90de01, 0x2037b6f3, 0xb644d69f, 0xe074341e, 0xe49994b5, 0xfbe3403a,
+    0x51ed81ac, 0x0e3826c2, 0x9eb0c45e, 0x83ec4814, 0xb9f007c6, 0x5194a682, 0x799d406e, 0xa1944dd2,
+    0x0e0b73ba, 0x2529f65c, 0x2233c98c, 0x87661333, 0x3ce27143, 0xf212c1b0, 0x9dc059a7, 0x5412c2b4,
+    0x4ba86916, 0x4095d0cb, 0x46a1f4c8, 0x8b9e15c9, 0x45e79a0e, 0x6676e2e3, 0x7f05f3c4, 0x1db31702,
+    0x08b3ec1d, 0x461a7b08, 0xc7810cec, 0x957a03ed, 0xeba335fd, 0x0c3f0123, 0x143a317e, 0xe9ef09fe,
+    0xb6d93f8e, 0x984cab61, 0x914c9d25, 0xcb26c039, 0x725a4369, 0xf490e300, 0x6e7ad73e, 0xab07083b,
+    0xf1ec17c2, 0xf4e1fca9, 0xbb70ed61, 0x95ccc241, 0xa8d4051b, 0xa5a01647, 0xbf8c5e56, 0x3275c96a,
+    0xbd7d59fe, 0x5088708b, 0x86ef9430, 0xc4475bf0, 0x8429031d, 0x94334b31, 0x3c091ed2, 0x6cbe2159,
+    0xcb7b43ad, 0xea6f582a, 0x120f6487, 0xa9adf10b, 0x4460d625, 0x9c6f1658, 0x9e7cc618, 0x538bd04c,
+    0xfa8c8c71, 0xc1e7c369, 0xab5017e8, 0xed06fd15, 0x72cea5de, 0xf6354345, 0x8d3ed8a8, 0xa6bcbf05,
+    0x960d4b2e, 0xebfdeda1, 0xbd6748c6, 0x11c70795, 0x6278d5a5, 0x774aee36, 0x0f3e424f, 0x47bc2d6c,
+    0x6509aad1, 0xf7fa41be, 0xf4c30c1c, 0x73ae1f75, 0x81e7e49a, 0x9a989ede, 0x068f663e, 0x65a8a750,
+    0xdaf47cad, 0xc52fceb3, 0xbb1a834e, 0x44cef968, 0x9a25fbbb, 0xb2bc4eee, 0x2804d68b, 0x158b4aee,
+    0x4ca64ab4, 0x7d426be5, 0xbfe31f71, 0x166505bf, 0x932059f4, 0x275d0c3f, 0x58489243, 0x87f4fddf,
+    0x5ab7792b, 0x3a3b6918, 0x2869a964, 0x3b05da36, 0x443ca55b, 0xe745d1cb, 0xa1d9c2aa, 0xf1619629,
+    0xf05dbe75, 0xb3d477fb, 0x92743017, 0xe2cd47e5, 0x297bfa29, 0xe25e9dab, 0x7aaf9f1b, 0xc5029c3b,
+    0x06c08a59, 0xad5e63bb, 0xb6e15f49, 0xffe99a69, 0x504a6369, 0x90f70395, 0xbaaa7410, 0xf46150fa,
+    0xf8e4ef80, 0x68adb947, 0x93187174, 0x738dffb2, 0xc16dd3d2, 0x25115d0c, 0xfc195ca7, 0x9f6f9325,
+    0x13ef5b94, 0xabe38660, 0x2d477767, 0xebe932e5, 0x14ee4ffd, 0x8fc26313, 0x0287b49a, 0x1f4d07dc,
+    0x152839fe, 0x5cd869fa, 0x01f16a76, 0x389dda1f, 0xafa47f7c, 0xb34c4beb, 0xdda4555d, 0x35381edf,
+    0xa519f3b7, 0xc215465c, 0x72e9431d, 0x9cbeb259, 0x9804db82, 0x54b92f8b, 0xc9f4bf67, 0x73fbbcfa,
+    0x98239954, 0xaf87232d, 0xa3b5ee88, 0xda07a544, 0x6ec0ab1a, 0xc002efbe, 0x7473d6e7, 0xc1ec7731,
+    0x88401ecd, 0xbe92c3ff, 0xded7baf1, 0xd28236cc, 0x3d24034a, 0x5738ad07, 0xdb6cd1b2, 0x3555c880,
+    0x8ad3cc78, 0xc74703da, 0x1b44a834, 0xca696855, 0x0c16d48b, 0x62403b7e, 0x7a96fa48, 0x1850ab05,
+    0x3132feba, 0x46e6a9bf, 0x84cf1c4e, 0x4d71b672, 0x964c329e, 0xfd9872e9, 0x62d3fb9b, 0x4e3e9281,
+    0x475150a2, 0x6f7f36f2, 0x9ec29e06, 0x20b921e0, 0xc5196da0, 0x1811a6fd, 0xa0085c83, 0xdfdf2607,
+    0x3d5e46fe, 0xa54ffadf, 0xdbcc87c6, 0xf4556f6a, 0xdc64a14d, 0x79f2e362, 0xe6eb45ce, 0x5dc4c6c1,
+    0xac2ec670, 0xbbd64584, 0xcf78b049, 0x65bdfdf0, 0xdd5696d3, 0x21b8fac9, 0x6178c187, 0xd0f05889,
+    0xf3e2afb9, 0x40a0c34a, 0xd65833c3, 0xc42553e9, 0x1ea9cc87, 0xfefdfce2, 0x2371cd32, 0x3e634b71,
+    0x25c556dc, 0xc9acc0f2, 0x0d7a4428, 0x1b86c1da, 0x9e2abd7f, 0x6e4555e3, 0xf20b3a67, 0xc6f9d725,
+    0x0fb0a673, 0xdf46a055, 0xba83b009, 0x8b9fd368, 0xd0da0901, 0x5b8fe97c, 0xb2db547c, 0x7419bc03,
+    0x56526793, 0xc55140b1, 0x3059ec47, 0x1edac044, 0xb4c6e0c8, 0xec34e06c, 0x140dc11a, 0x0525d5a5,
+    0x5c535932, 0xb3a99ce8, 0x1e869f0c, 0xfbabfd3f, 0xad0363a3, 0x0021818a, 0x5f894d20, 0x92f95e99,
+    0x5c48f690, 0x1a068687, 0xe2f47763, 0xac3adbd8, 0x7341c586, 0x5f33c9e0, 0x5b5f83b5, 0x377d1af4,
+    0x3a60a000, 0xef426140, 0x4c17ffa3, 0x2091d371, 0xcff7f0ec, 0x46a95ffb, 0x63b2eac9, 0xa26c723d,
+    0x65fc271b, 0xb06a5ab5, 0x6546ca9b, 0x1e83e28e, 0x18cafaf2, 0x6a675bd7, 0x68810fb6, 0xd1830f26,
+    0xeab649ae, 0x24036a5f, 0xa7bf6660, 0x8ed6336b, 0x199e349d, 0xa65ae35f, 0x466b6f05, 0x4eff034e,
+    0xca33fc3b, 0x13673456, 0x47111f54, 0x77269b6a, 0x581b0f89, 0x46befbb9, 0x84423e1a, 0xad7a4a5a,
+    0x06b42ffb, 0xf5e5c606, 0xf8d25e69, 0xd77c8b42, 0xc5b43480, 0x2eacb0ee, 0x886c67c1, 0x4ce150d3,
+    0xc2a3b004, 0xd9031e21, 0x4d0a3010, 0x4872a78b, 0x3322ed98, 0x5a7f024f, 0x0d96bc99, 0xec46242a,
+    0x54bd25e0, 0x8b416e23, 0xe443e012, 0xa616b5b9, 0xfd5bf9d3, 0x22565778, 0xbd0d20f9, 0x8ad0fad0,
+    0x8c83e22c, 0x0d899a4e, 0x9cdc2692, 0x054ec72d, 0xab49b0c8, 0x74f15168, 0x374ec817, 0x4bd8f725,
+    0x430e324a, 0x71a69e48, 0xf2a9ddd3, 0x3831a64c, 0xa9c8c2a5, 0xa687806d, 0xe4385303, 0xb74dce8c,
+    0x092e9a9b, 0xa2a0d910, 0x81da6888, 0x25f86675, 0x446dd1e1, 0x1e209b84, 0xde47d804, 0x3f1696f4,
+    0x4ae47b3b, 0xe59ae3bc, 0xbe0fe268, 0xdf9caa02, 0xeed876fb, 0x9971ae20, 0x784415c5, 0xa1db8b80,
+    0x1e425f6b, 0x790460cf, 0xb9f3dc50, 0x0dbfde31, 0xe84e4b3e, 0x76314fab, 0xef495fa2, 0xa3440c11,
+    0x8d7af4c7, 0xccb9465a, 0xecf84cfa, 0x6b96ee0e, 0x91f2c5ad, 0x56b613cc, 0x41745008, 0x73f33011,
+    0x166159b9, 0x9212826b, 0x9b7d3959, 0xdeecc3c3, 0x6fa2fb2b, 0x9d2ea773, 0x7f440897, 0x59c931aa,
+    0x59633e0b, 0x9cf38317, 0xf975ef02, 0xad0d384a, 0xd251bdb2, 0xf4ee8311, 0xc5559164, 0x1d4e1579,
+    0x5db8c0dd, 0xe73805ef, 0x6014c94e, 0x4918a087, 0xa67b8d7b, 0x70019633, 0x40985260, 0xe121bc8f,
+    0x7ac36554, 0xea892f38, 0xd90f7bba, 0x8c64d0c7, 0x93e4d900, 0x5a7056f0, 0x1159fba9, 0x8d92aca5,
+    0x4845dd4e, 0x0dceabb8, 0xd91ac91f, 0x6972700d, 0x160e2bca, 0xc0562f8e, 0x19228c55, 0x7f63485b,
+    0x01a25fd2, 0x4a6524e7, 0xefcc2ea7, 0xa40933d3, 0x0eb75b45, 0x88e8fd48, 0xe21ac855, 0x84b97dc0,
+    0x26b8dc35, 0x0b5a2d4b, 0x61bf0630, 0x1961267c, 0xdbfa6749, 0x1f5389a1, 0xbcf5d27c, 0xf05f491a,
+    0x30fd940e, 0x67d9214f, 0x8bac4f6e, 0xd8615f28, 0x19680cc0, 0x61851fa7, 0x7c11e04b, 0xd73e8724,
+    0x250269db, 0x6cab5658, 0xe5f02589, 0x565457ca, 0x07d2e960, 0x7dcb200b, 0xfd299a8b, 0xb6bf0ac8,
+    0x251c039b, 0xe987b823, 0x5636d4c4, 0x7e3d0912, 0x1016e135, 0x28ba98e1, 0x851891b7, 0x2538843a,
+    0x4d60a340, 0x17ed3e4d, 0x011b8764, 0xbaa1b1f4, 0x96d17142, 0xd6d2000e, 0xbe84fedd, 0xa1f3d515,
+    0x7874e459, 0x91c2c416, 0x4187b4db, 0x2ba48c17, 0x19e3e628, 0x5637d644, 0x13aa2714, 0x73949a0e,
+    0x310415fe, 0x1f6268bf, 0xbcdd1090, 0x8a61b11f, 0xeab2adf1, 0x85cd445c, 0xb6e004ad, 0xc247fe9d,
+    0x0c04b1f4, 0xa4ccb9f9, 0x3eb8a267, 0x41732648, 0x95d2140b, 0xb8d4502f, 0xbcf0197a, 0xa9b7363e,
+    0xf8e1d696, 0xde06b2a7, 0xb4540dc7, 0x423a617e, 0xb2e13b32, 0x607f5999, 0x155ac81c, 0xe63f2434,
+    0x23b9655e, 0xd719da30, 0xf26f365a, 0xcea2bd04, 0x1aac451d, 0x00cc581f, 0x836d8f08, 0x0aa818b6,
+    0x70465b79, 0xd48db0d5, 0x95967bbb, 0x443f535c, 0x7c9591be, 0x265a157a, 0xb5957af0, 0x2a21f705,
+    0x58f656e2, 0x7c0b4c98, 0xf20c5118, 0x9fe51c81, 0x86a4340b, 0x44f7fd2d, 0xab19bfc3, 0xbef8cfbb,
+    0x9fdcafdd, 0x6a4d5590, 0xb91a0e4f, 0xc649f3c0, 0xcc24801f, 0x9a885531, 0x0258ad11, 0x18a1ddc4,
+    0x0fdfa22a, 0x7f234592, 0x465c9c32, 0x4ad29250, 0xaf6924e0, 0x74e5255a, 0xcd0f8a53, 0x2ac0b383,
+    0x3337de37, 0xb997fe90, 0x64e9fb57, 0xc9a8d6fa, 0xd5e737c3, 0x2498e367, 0x06062ee0, 0x3d6da415,
+    0xf9f38d4b, 0xf6627bab, 0x68b18882, 0x5e333298, 0xd4908f45, 0x717b2ab2, 0xfb2d9170, 0x1ea6b70b,
+    0x64b0560e, 0x61376f8a, 0x05f589c0, 0x33625f8b, 0x73f0a3ea, 0x22506db2, 0xd6e03294, 0x13f353f4,
+    0x72240899, 0x36e16516, 0x0b566892, 0xe560e1fc, 0x3224db17, 0x80eb6c95, 0x70450c92, 0x4dfffb13,
+    0xa96a956f, 0x957c1649, 0x4186d13c, 0x2c7cfb23, 0xacc064b4, 0x1e2cc56f, 0x4db01d40, 0x106f86f8,
+    0xc0e1d657, 0xcfa660ae, 0xb09b1692, 0x61a44ad6, 0x93bd1297, 0xee9c65d7, 0xd5f012b6, 0xd64cd2bc,
+    0xbb13171a, 0x0c866605, 0xcc371a66, 0x83cd6d90, 0x9ff30708, 0xdd40350e, 0xf1716c9e, 0x9c0214c3,
+    0x80d9f7c9, 0xc7b93acc, 0xc1861ecb, 0xc297944c, 0xe0aa8e3e, 0x4744d231, 0xb1fe1cde, 0x60dbe8cc,
+    0xe481bb3e, 0x1629d88c, 0xb1c667cd, 0xf15c7530, 0xcdf99457, 0x05f73075, 0xe23ce4eb, 0xce501022,
+    0x0bc07958, 0xd4d77683, 0x3504a56a, 0xa5d413b0, 0x6ee64e83, 0xff7a5331, 0xffeedeb7, 0xdf428372,
+    0x274ea0f5, 0xa5dba0c2, 0x7682188c, 0xfacd1c85, 0xcfaf8973, 0x8be2e241, 0x2e382b96, 0xcb50d3fb,
+    0x4c3598ca, 0x927380d0, 0x663a0bb0, 0x03492959, 0x6ee9cb87, 0x904ca1d0, 0xdd5f187d, 0x5283257b,
+    0x0795c1dc, 0x2d3bf5ca, 0x9f9a1af0, 0x443b63e2, 0xef9068af, 0xd4507d0b, 0xee7d8b4f, 0x4f7eabff,
+    0x4d37bbc7, 0xcb2828ff, 0x3ee3a933, 0x67694de8, 0xc4b9e39b, 0x62897701, 0x267d003c, 0xe09cae7c,
+    0x0995329d, 0xfdeeb4a1, 0x0db12617, 0x00ee22a1, 0xcfc89a50, 0x98958a75, 0x1db4e31f, 0xafb5fc0e,
+    0x622a0659, 0x8139ce82, 0x97344c2d, 0xb085ca5e, 0xf5ebc5a8, 0xc998c3df, 0xe33e24d6, 0xade1df71,
+    0x06710ddc, 0xc5ad4296, 0xee830252, 0x8591780f, 0x14ee1459, 0xa1c3000d, 0x5129e61d, 0xe37dfc05,
+    0x756ea030, 0xc9e1afcd, 0x5c81ad82, 0x635326e5, 0x7158e202, 0xe4ee9c9b, 0x26f7b563, 0xa6cb52f7,
+    0x05603751, 0xd1b688e7, 0x44a0e4af, 0xc17fef2c, 0x5c417998, 0xbab064aa, 0x17f11787, 0x43299509,
+    0x778f797e, 0x7ff0e49f, 0xedf6c778, 0xd8143561, 0x548a8508, 0x40845f66, 0xb6ca308a, 0xbb3e806e,
+    0x4f42d505, 0xe357dbc2, 0x28c5945f, 0x2bd292e1, 0xb4eadf1f, 0x039c6162, 0xd351fd5f, 0x8ecb795f,
+    0x25214448, 0x10118be6, 0xa146b37a, 0x4dc2594e, 0xbe44e874, 0x2d69cf24, 0xb50310e1, 0x17d256b5,
+    0x2444d4a2, 0xd0a0bc02, 0x0acb4863, 0x0773ee93, 0x73dd89b4, 0x35a92160, 0x4dfa834f, 0x3cbbf8be,
+    0xaf938d13, 0x6549a7b1, 0x1a79855b, 0xee2501cc, 0x4e3494ff, 0xe4eef843, 0x67849292, 0x1eb37880,
+    0x757b2907, 0x79c459cd, 0x2115858c, 0x2aedc780, 0x201d247e, 0xbd968485, 0xc4f48c3c, 0x6e990f62,
+    0x7bafc650, 0xdaf88d4e, 0xbb8916f2, 0x4304c5d1, 0x0d18cd4f, 0x918f0d40, 0x027b0839, 0x0bc6c09f,
+    0x23760c36, 0xfc5e1c5c, 0x31944437, 0xd90c1670, 0x54601a27, 0xc2fad650, 0x7f530200, 0x9112d201,
+    0xe9f99ac3, 0x42bd4cc9, 0xfbb87907, 0x8af4bb53, 0xa1a474da, 0x0cb7475c, 0xc9da6862, 0xea0b8c01,
+    0x6509cf1d, 0x501b39f5, 0xdbc9eb17, 0x76c0da7b, 0x88d69324, 0xc2fc3839, 0x9e48712c, 0x71e317d8,
+    0x067c89b1, 0x1f5cd554, 0xd6aa5e8c, 0xc182977d, 0xa531ba0e, 0xe54352e3, 0x27d276f2, 0x9b263973,
+    0x2c6cffc7, 0x45e4f4d8, 0xf70bf640, 0x4d5b7dcc, 0x0437641f, 0xf58b8dc5, 0x984ddf90, 0x120dea98,
+    0x875cb060, 0x3a8a1c14, 0x3371771f, 0x6795d2e9, 0x16fda207, 0x7e420318, 0x6380597f, 0x0e562d28,
+    0x5f20c135, 0x0939894a, 0xb7ea4f24, 0x209a8e37, 0x0844b1e7, 0xcfc1bc7e, 0xeceb0478, 0xd8a52361,
+    0x80a2d356, 0xe1e61f88, 0xff34efbd, 0x388eb529, 0xef0d6794, 0x91712c1f, 0xaf9631ad, 0xbb4bc966,
+    0x0fcb3122, 0xf6b5edc4, 0x5b698bb8, 0xbc00ae84, 0x72a7a2cc, 0xad33c909, 0x313aab0d, 0xf47c865c,
+    0x2729c572, 0x706aba97, 0x28a76093, 0x8c19edde, 0x7f3990fe, 0xc2430b98, 0xba3df06d, 0x85c83e5a,
+    0x7642432b, 0x82808e2e, 0xe4869231, 0xf77dbd24, 0x646c09ca, 0x7fe2ec5a, 0x3f64c8f4, 0x9f265b9b,
+    0xae44ee99, 0x1aa5a985, 0xbd07b3f4, 0x2fd51660, 0x877b8f5c, 0xe44f026d, 0x35dd4ea6, 0xc8e231a2,
+    0x4a66d45b, 0x022ad469, 0x1a14d5e4, 0x0cc5ff45, 0x351ec628, 0x00066900, 0x035b8153, 0x7a55b78a,
+    0x3b02fa80, 0x89944370, 0x91cfd7ca, 0xabc8da53, 0x1c78a845, 0x825f83d9, 0xd05c1c79, 0x54ea3ff5,
+    0x8abb0beb, 0x6e02cea2, 0x24934639, 0x360264fe, 0xb2387893, 0xc2ca8ace, 0xfd16dcbc, 0x7b7600d8,
+    0x8db514db, 0x8ece5324, 0x6fcfab97, 0x84577259, 0xeef341a9, 0x9e3a11e7, 0x9af4b8d2, 0x474d5ad5,
+    0xa72f5bc0, 0xeb24f451, 0xa8ef1b7e, 0x2a014939, 0x3392756e, 0x5a505b66, 0x77caf8c6, 0xa03a1416,
+    0x9317ebe8, 0x30070e8a, 0x6fc055e4, 0x826a518d, 0x961c505e, 0xa29691d8, 0x3b23c014, 0xd3eb6136,
+    0xce02a1a8, 0x0d63122d, 0x131230af, 0xadd7f145, 0xa03dbd76, 0xf39c9733, 0xfdf812b4, 0xf304ed38,
+    0xed5378f6, 0xcb06db98, 0x883d35de, 0x2386e1fe, 0xc2b3a872, 0x430818cb, 0x743b311a, 0x6069ecc9,
+    0x86966ac4, 0xe33fa8b1, 0x3d9e116a, 0xa8f53cd1, 0x531aa40a, 0x67c01003, 0xbd412f05, 0xc2063b0e,
+    0x302e70b4, 0x4b96bed6, 0x450f3086, 0x5d8179ee, 0x28680295, 0x1509a102, 0xd86be15a, 0xcaac64f8,
+    0xe1b7e2e9, 0x0947fbef, 0x65d787bf, 0x99f6b651, 0x30320e73, 0x2591506b, 0xdc628061, 0x8b2358eb,
+    0x00000000,
+    0xfffcad95, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000065536 */
+  { 0x00000000,
+    0x3b19d8e2, 0xf6e3f7ef, 0x60fd6110, 0x412a7fc0, 0x81afd0f7, 0x3e0e98cc, 0x675be2c7, 0x4e8e3f94,
+    0xe974fd7e, 0xcf79e704, 0x358d918c, 0xdcbc9690, 0xea2e433d, 0x0462af9f, 0xfd9ddc13, 0xae7b315f,
+    0x96b2fcf2, 0x9778461e, 0x827c1e13, 0x00e98c73, 0x54c58794, 0x86f20b2f, 0x39dd2e4b, 0xc96ef891,
+    0x8aaac88d, 0x753ddfc1, 0x24492ac4, 0x3340268d, 0x6accec28, 0x4db5e268, 0xbfd939df, 0x0326c14b,
+    0xea68263f, 0x9e8b5088, 0x502545c5, 0x2f78eaed, 0xb8b8e152, 0xba75f995, 0x3d6d549b, 0xa9df216c,
+    0x711c0060, 0xac898f39, 0x88eba2fb, 0xbc2b3f2c, 0xa876fc1f, 0xde6d4fac, 0xa1f3256e, 0x1633b8e3,
+    0xaefdb282, 0xb962666e, 0xb8633998, 0x9031986e, 0x0728116e, 0x4c83e46e, 0x6cbb4697, 0xb794f433,
+    0x384d8952, 0xa3cb7c57, 0xe3bb5ef6, 0xe95e0a74, 0x4139d5e7, 0xe42cbd59, 0x8503445f, 0x1abb31fd,
+    0xbb36eea8, 0xd80cfbad, 0x066729f1, 0x535412f1, 0xab91bcd2, 0x291767c5, 0xfd3eca4e, 0x2b9e4994,
+    0x0975c4c1, 0xd40aad44, 0x49caf1b2, 0x03fed6d9, 0x7015fe25, 0x1307472f, 0x04ce0df3, 0x4b70b712,
+    0xa4b42ae6, 0xfed599bf, 0xcda3bbb4, 0xda1ec9f0, 0xf933043d, 0x954d5188, 0x5f7c6898, 0x082589af,
+    0x9a629014, 0xdb199478, 0x7fd8fb3b, 0x046090b8, 0x2a92f385, 0x86eef1b7, 0xb8ba0d3d, 0x03d0fa06,
+    0x9d8e37bc, 0x1165c0ef, 0x6a80ed26, 0xbffd1429, 0xff3a8582, 0x1e155c1d, 0xad4873f8, 0xaaef473b,
+    0x1da52961, 0x38b0b8a3, 0x4cf9fb96, 0x8a8c3cf8, 0xcfa5556d, 0xc94a66a6, 0x03fda32e, 0x60ee0c5f,
+    0x903489a0, 0xcd4579ff, 0x3359a50f, 0xb20f8304, 0xf8eeff1a, 0x4c34c32a, 0xc89cc4d7, 0xdc73f133,
+    0x2d881576, 0xa7c3650a, 0x828f43de, 0x303645f3, 0x9637829f, 0xe7416c28, 0x9aff884d, 0x4281aa87,
+    0xbbed5acf, 0xde6277c1, 0xbb3cf2d2, 0x28e9f359, 0xded3c766, 0x6969ebc6, 0xb1a43f8a, 0xc827bdf6,
+    0xd37b0326, 0xacd64685, 0x2fd612ca, 0x53c5b98d, 0x2d3bfda4, 0x80c9b070, 0xa3011da9, 0xac3fb8d2,
+    0x338d4196, 0x2b373991, 0xd3796d63, 0x71ab1c73, 0xae3bc93e, 0x1cd2edc6, 0x28a6e7b7, 0x43ee4778,
+    0xc7a4d185, 0x68d95167, 0x7f082bb3, 0xe70a4517, 0x29bafe55, 0x4070c3f6, 0x34bfd6c9, 0x7bf23acd,
+    0x4c727735, 0x4839e7d5, 0x3156e48f, 0xd3bcca75, 0x63a62ca2, 0xe19b8139, 0x650f31c9, 0xdf52d271,
+    0x9d6227f7, 0xcaa62ead, 0x42dc5c2c, 0x3b18d25b, 0x90f0ea7f, 0x4a71aa4f, 0x1fd4e705, 0x767ab259,
+    0x8829cbe4, 0xca4059ef, 0x9e4fb89f, 0xe62c7716, 0x67d7bb24, 0xdc4f522e, 0xe1969f44, 0x928d42c2,
+    0x185ec7e7, 0x8581b8fb, 0xb2098266, 0x1bac2a59, 0x12db0201, 0x07cb444e, 0xb697b077, 0x41f9b3c7,
+    0xc9263fb1, 0x20bab094, 0xd18cfb22, 0x39e866b0, 0x748d714d, 0xb2f32900, 0xd335ca39, 0xb4e97713,
+    0xf9ae36b7, 0x0f6d5186, 0xf89e1e88, 0x0be6366f, 0xc1368353, 0x22a70dec, 0x4514f210, 0xa00cc788,
+    0xcc448b52, 0xcc7e8edd, 0x30b30cd4, 0x08923894, 0x19fcce46, 0x94da1f98, 0xf4b9ab5d, 0x8a236b88,
+    0xd8a40452, 0x19ecf513, 0xdb0ff193, 0x45a5b00d, 0xf714164c, 0x0df5ced3, 0xfc7529f1, 0xf1ea1e4d,
+    0xd10ffbff, 0xbf259fd8, 0x84071b53, 0x8971078f, 0x1a6c0968, 0xb9bc0781, 0x14e82bfc, 0xfcd22b84,
+    0x75f9d494, 0x0c99528f, 0x81d509e4, 0x3699c153, 0x5b9f478c, 0x8cf40ee9, 0x2af4a5b8, 0xda1d372d,
+    0x61fd0e1e, 0xed91b49d, 0x2b2b0b93, 0xec46a0cb, 0x2cdbba16, 0x03763a68, 0x57249a46, 0x5473cfae,
+    0x2a8918c8, 0xdd7239a4, 0x453cedb8, 0xa4ef1d56, 0x761b5e01, 0x7e739871, 0x1e4a2645, 0x9ddfa020,
+    0x8b6ec898, 0xaabd348e, 0x436e003c, 0x5497e0fe, 0x1cfe9c5d, 0x687075b2, 0x20c590c4, 0x7ddca9d8,
+    0x7ff2ac2b, 0xb3cde157, 0xd4648d76, 0x4ed9f2c1, 0x9c309088, 0xb7155df3, 0x4fe89c71, 0xf6fcd639,
+    0x43acdde7, 0xafbff059, 0xc08df45c, 0x3bcf6990, 0xad84d817, 0x9f086f7f, 0xfac8579f, 0x8bd47c38,
+    0x39d09dd8, 0xd0fba6a9, 0x5669309f, 0x7b8070d3, 0x43971fe0, 0x86036699, 0x3fbe67b7, 0x006a4604,
+    0x66a771f0, 0x519110f6, 0x7cd26a31, 0x73ca63a8, 0xa95231e4, 0x9a7e4b2d, 0xf5b4a2e9, 0x0e45af89,
+    0xf4115f35, 0xdb3cc06e, 0x16f3de8d, 0x0ec76271, 0x688923ec, 0x63338885, 0x2501f7a9, 0x5726cac6,
+    0xcd2220bf, 0x10391864, 0x79697274, 0x603774e9, 0x41096269, 0x62352919, 0x14f7c6cb, 0x4e17c7c8,
+    0x0dad8cda, 0xc5a07be3, 0x53da1a79, 0x8d6b8112, 0x4f3435b1, 0x13271792, 0x67372f5f, 0x82343232,
+    0xe270865f, 0x0d4fe786, 0x2b6a1cbb, 0x74b5c64e, 0x90d571a1, 0x6b5fb86f, 0x285874d2, 0x4862c9f6,
+    0x6ddcea4d, 0xc1d9cc39, 0xc799a415, 0x251a39c7, 0x9849985d, 0xe78e9fe6, 0x4c987566, 0x587b348c,
+    0x9af415c8, 0x692fa811, 0x56f4aac1, 0xdf671cbe, 0x3b485727, 0x2efb7017, 0x6c5d1304, 0xd9a6daaf,
+    0x59023923, 0x8a2b68f3, 0x16a278b0, 0x6ad4fcd8, 0xc9218d65, 0xcea0af88, 0xb76d7828, 0xddcfcccf,
+    0x42f6cd6c, 0x5f029966, 0x52f75763, 0x05cb04bc, 0xd6639cc6, 0x9562c49c, 0xfc5b785d, 0x3a6619f5,
+    0x52899370, 0x4c61b3ec, 0x3381d2b4, 0x7ecc0cbc, 0xcbf68011, 0x0d81953a, 0x3f8fe38d, 0x4f2bd4a6,
+    0x812f03c4, 0x1e254e9a, 0x28bcdc62, 0x3b376259, 0x393de555, 0xd35d359f, 0xef69a553, 0xcf296fe8,
+    0x3113f672, 0xbc25f42c, 0xdbd883be, 0x1d5443b6, 0x4f33cccc, 0xb3fd71be, 0x06d56824, 0x545512b8,
+    0xad0a1cce, 0xf34750ad, 0x3ffca9cd, 0x519f959b, 0x6a247aa5, 0x01be5aa0, 0x2aa0a03a, 0x8c24eaa0,
+    0x81e28b28, 0x083d1df5, 0xa2813587, 0xe5064944, 0x6696df2d, 0x67f946ea, 0x1ddaf422, 0x3fd7a8cc,
+    0x2f93ae9d, 0x42278d38, 0xb8ca622f, 0x61ecf571, 0xf635b577, 0x155d8818, 0x1f878dad, 0x5e4dded9,
+    0xf251e0ca, 0xe32b4cee, 0x579d6a24, 0x7023fc8d, 0x3e10e78a, 0x35cb1d69, 0x747cdc78, 0x728ffe8a,
+    0x820070a5, 0xfeb291bb, 0x5881de45, 0x0b6a0379, 0x8e8280cb, 0x1f81b9df, 0x4eff4893, 0x151e450f,
+    0xee65e9bb, 0x9b450803, 0xe032dbb1, 0x5ccd1847, 0x11d4cf9d, 0x48f8d982, 0xa7003cab, 0xf20a5b91,
+    0xe0af2c99, 0xe76fbe32, 0xa98cd74f, 0xbbb24570, 0xeb810c96, 0x9ca9b105, 0x93d5b2a5, 0xa662857a,
+    0x6c486d24, 0x19bdde46, 0xc56d0cbb, 0x8e306177, 0x5415b7d2, 0xd1f1b470, 0x0e48105e, 0xa598f66f,
+    0x56ea57af, 0x96b8d869, 0x56cc9c39, 0x206380bc, 0x35157b50, 0xe7ee56bb, 0xa94e97ac, 0xb0c401a5,
+    0x95842ead, 0x2cb38b45, 0xbcd90241, 0xcd5275ca, 0x759121ce, 0x1a16ae63, 0x525f4040, 0x5cbe5daa,
+    0x2ec130e7, 0xac80dfbb, 0x2997e44a, 0xb1b15509, 0x6d542c56, 0x6f7274aa, 0xb804e192, 0x8d3f2771,
+    0x9c8fd874, 0x643a3029, 0x1bc5c964, 0x8f5e9de1, 0xb9f99a0f, 0x8bd7f24f, 0x44154c5a, 0xab0872e1,
+    0x17eb6bd4, 0xcebc42b0, 0x0a1f6481, 0x11df2dad, 0x2e863b75, 0xe7647fbf, 0xb21acd5f, 0xcd683e0b,
+    0x0d1256e7, 0xba707d89, 0xed4adb6a, 0xbda61dbc, 0xa38d645c, 0x5949e904, 0x8b2cc359, 0x67bfd5cf,
+    0x786e222d, 0x20d18c4f, 0x299964ec, 0x3de329ff, 0xc18c164d, 0x48674d9b, 0xf0d770cb, 0xced41aa0,
+    0xbdae641f, 0x7e47da93, 0xe601cc21, 0x712c4f0a, 0x887cea5c, 0x08d6c9c8, 0x860cf8a4, 0xcaf3fafd,
+    0xa4ac5f8d, 0x8dd752cc, 0xf65c1855, 0x8210d861, 0x4307edd7, 0x19bd3b0b, 0x326c50ae, 0x02efc8da,
+    0x0c72cde3, 0x6ab4a8e2, 0x0a41eb31, 0x358b2f6a, 0xaea96781, 0x93c66093, 0xf657d59b, 0x98d05d2d,
+    0xe39b264c, 0x9b8d04cd, 0x0242758f, 0x108c8709, 0xe83f03f7, 0xf1ba03bc, 0x915e1e78, 0xdb12a8a7,
+    0x4693bb6b, 0x75f45f9c, 0xc5a62ccd, 0xf31bb111, 0xde220aaa, 0xa1e017b6, 0x9b1faa45, 0x00be9b1f,
+    0xf9caf652, 0x62a74549, 0x8dd1d017, 0x9478daf1, 0xc1a7ae6b, 0xdda8cbbc, 0x72221a8d, 0x632f2b8d,
+    0x96a8d449, 0x04933663, 0x31778f81, 0xf9cbb882, 0xdc5f38fd, 0x35af2434, 0xcd6bc491, 0x3d54dfd5,
+    0xc2425c87, 0x900a2b15, 0xabd8c18c, 0x47f8ebf6, 0x8966bf5c, 0xfe62067f, 0x233e5a50, 0x2e5f0394,
+    0x353f7021, 0x338bb00b, 0x03c1b3be, 0x5c379313, 0x77716ae7, 0xfe40e581, 0x2c358af0, 0x14b89932,
+    0x4068cc41, 0xeee58fc6, 0x54c16304, 0x800c6d76, 0xe019a385, 0x0baa356c, 0x0dec6f44, 0x9aadc83d,
+    0x2636b9f1, 0xfc365de1, 0x1eb574f5, 0xb02c08f7, 0x1b771488, 0xb1b69d5d, 0x93ab5cab, 0x75f53baf,
+    0x3a15d770, 0x9efbe977, 0x550b27d9, 0x3d8a8d05, 0x7d691d4e, 0x3d618bdc, 0xab8cc3e7, 0x91a612d8,
+    0x9f90f42f, 0xb648f9f2, 0x41ca802b, 0x34452e24, 0x9dc95b3f, 0x6217d5d2, 0x4f7c82fb, 0x7288d37a,
+    0x1a3bed37, 0xa224a84e, 0xaab98ffc, 0x2af013d9, 0xd8685afa, 0xb724fc2e, 0xbdc1b3f6, 0x79663f7d,
+    0xb851cf29, 0xa906eb7e, 0x9930cfab, 0x657d0898, 0x77dbba6a, 0x14145f1a, 0x7aac96ec, 0x67b3802c,
+    0xd1056c39, 0xcf434429, 0x0c2be573, 0x5fa6ddba, 0x469cb567, 0xb464cf7d, 0x61882419, 0x06cb1923,
+    0xb23b2dd4, 0xddd2f369, 0xc6a85a4d, 0x68dd0003, 0x626d2d0c, 0x1133f78e, 0x2f4ef134, 0xb6f452e6,
+    0x983e7562, 0x5829998d, 0x4ab165c2, 0xa85031da, 0xaba5cb72, 0x9ac335ad, 0xb7211905, 0x627290df,
+    0x6c9ff71e, 0xd550b8cf, 0xe7c1b871, 0xb4598d34, 0xb0e25a56, 0xe0f71b85, 0xec5fd36f, 0x4e37b07f,
+    0xbf2e77d6, 0x95fbd8bb, 0xfea09f72, 0xabe02aee, 0x87e9378c, 0xcb40112f, 0x3152d65b, 0x1f5b6b67,
+    0x88f2dbda, 0x690bc56d, 0x031fa3e0, 0x4243707d, 0xd8786bf6, 0x0f5a5901, 0xd9b4e7e5, 0xe1a6b8de,
+    0x0731671c, 0xedfa5b93, 0xbbf8fb63, 0x9c79abd7, 0xa87abc5b, 0xbe426d11, 0x64acbd3c, 0xebc07eb0,
+    0x9bb80846, 0xa14c3503, 0xde52b0df, 0x177058dd, 0xd5150349, 0x1ab5e802, 0x28203ce0, 0x17bc980d,
+    0x1c613627, 0x388d8d47, 0x01b3d1c4, 0xb2805b0d, 0xe1e4befb, 0xa76ef7e5, 0xcaf5276f, 0xcfb4ce87,
+    0x816e9745, 0xe5cdf9d1, 0xce1a38c4, 0x25c5666b, 0x83677d1a, 0x24984711, 0x66747d36, 0xcc0a8fb9,
+    0xa20749e4, 0xc57df50b, 0xd993eeef, 0xfe44535a, 0x6446a10a, 0xcd3e9e38, 0x2c11f8f6, 0xf4016daf,
+    0x9caa302d, 0x48991f66, 0x99d9734d, 0x4f485eb3, 0xb056caea, 0x44f15cad, 0xaec43385, 0x984c9caa,
+    0x450f1ec1, 0x71698592, 0x85ef2c70, 0x2135e6f4, 0xfb3afe0a, 0xe96f93b5, 0x9161e281, 0xe3a6417d,
+    0x58c807b4, 0x76e016a1, 0x3aaff4b3, 0x5f0e8c66, 0xf817a08c, 0x4809f1e1, 0x3dba8609, 0xb153b8d3,
+    0x1f8bc5d0, 0x2782997b, 0xf84276c6, 0x3696e53b, 0x7a222a7a, 0x266dbd5a, 0xe6d1e21d, 0x81879046,
+    0x52915589, 0x5a066510, 0x12922c17, 0x2c4f9527, 0xa2f9574e, 0x0d20d291, 0x9c966f7c, 0x9b325d19,
+    0x0bd68c26, 0x3e41c5db, 0x65bba093, 0x824993f6, 0xa359e3bc, 0xc9ccc03a, 0xdcb4f87d, 0x0f7b6900,
+    0x26fca7c0, 0xaa37f416, 0x1bfa6c41, 0x47f57c15, 0x9099cfea, 0xa8f8f8fe, 0x6bc6dcec, 0x7e397a27,
+    0x003d9849, 0x39783692, 0x7335afff, 0x93c5b075, 0xd8d1f2b7, 0x8086382e, 0xefe936ab, 0xc9e8dbe1,
+    0x61c68482, 0x4190c6b0, 0x75ea5718, 0xfeacce2d, 0xce921fb3, 0x194876ea, 0x75311a89, 0xe0de69e5,
+    0x25d97c8f, 0x753924ea, 0x07600a50, 0xdd347d54, 0x567f9a82, 0x38ebc2e1, 0x74cef923, 0x9ba2c84b,
+    0xe670898b, 0xe74f1b77, 0x593987ee, 0xd9a6963a, 0x1dc08c2d, 0x937869d8, 0xbab8eb92, 0x7bd40ca8,
+    0x88cd6e2d, 0x7fe8f016, 0x159621c3, 0x904300dd, 0xbca6d0c3, 0xf218eb8f, 0x4c2dbb26, 0xe814dbac,
+    0x6b04494f, 0x8eb639ea, 0xb670c76d, 0x956d7d3a, 0x8e18faa3, 0x6cdc2c05, 0x3525eed0, 0xcf87ad39,
+    0xe4e94c0d, 0x6b0e4b43, 0x75dc4b92, 0x14334e59, 0xfad37f54, 0xa90b98cf, 0x43c8c0e0, 0xc46fa3a4,
+    0x18d3e0db, 0xd93c5d98, 0x9d6f73bb, 0x07fbc38c, 0xc58afd6f, 0xeecff63c, 0x990be71c, 0x1b4082e3,
+    0xa8ffc38f, 0xba607119, 0x5b986d56, 0x586649ad, 0xf580653c, 0x0d0d5b68, 0x1f1571d9, 0x6b7d4c98,
+    0x450bd9f5, 0x1526078d, 0xa2f9ec5b, 0xcd0eb5aa, 0x345e221f, 0x765e1949, 0xdcdf2484, 0x6903be9a,
+    0x9c9732ae, 0x552cef6f, 0xd1a386de, 0x4ad1373c, 0x70278c0f, 0x319cccc6, 0xb6e468a8, 0x4879da62,
+    0x31eb71bd, 0x65b02a6e, 0x117fa06c, 0x48cfdd49, 0xba1f154e, 0x4bb7986e, 0x780bbed1, 0xaadcc5b4,
+    0xe8bfde5b, 0x2a4da393, 0x0345e0fc, 0xd4111eab, 0x9a1e4937, 0x1a4a3011, 0x0cb9e39d, 0x1b3596f4,
+    0x768e910e, 0x43761813, 0x3fae1749, 0x1d9009da, 0xa04068bf, 0x367096ca, 0x222624ea, 0x555d8044,
+    0x731f76fb, 0xa12aa3ae, 0x87e4b856, 0x8ac6d9f3, 0xfec54df6, 0x7cd968d1, 0x32e69926, 0x62005152,
+    0xb2dabd2a, 0x12fbb6ab, 0xcac80139, 0xf418870b, 0x4bcd5610, 0x2086926e, 0x4c6de48b, 0xc3c0f9bb,
+    0xeff0eb4d, 0xb21ee93d, 0x26bc3827, 0x115f5e15, 0xd6d2ef30, 0x0e70b6a2, 0x431b12b5, 0xd0a22216,
+    0x194d434a, 0x3bddea4d, 0x451f2c39, 0x75629555, 0xd7092955, 0xda19f959, 0x4727ea23, 0x62b0d00f,
+    0x655fc716, 0xa82cbe5e, 0x86f4e901, 0x572ac0c5, 0xdb340628, 0x5f270a20, 0xff00b48b, 0x7647fb5a,
+    0x4c62637f, 0xc70799aa, 0x473a4190, 0x09ce2de2, 0x314b9536, 0xc9bca21d, 0x33bcd404, 0x503670cd,
+    0x989af0a5, 0xb83aec52, 0xb22f28ab, 0x6945a3d0, 0x30eb2c7e, 0xd5e52b13, 0x01de1f30, 0x6d785f32,
+    0x9817653c, 0x5f4352f7, 0x19e20ac2, 0xb09e2969, 0xc6e38267, 0x25ca6cfb, 0xea447a46, 0x9c9fdd39,
+    0xea4894c7, 0x79feab5f, 0x43cba67e, 0xb616db46, 0xc000acb2, 0x3ef49d02, 0xc1d48e0c, 0x8f62d786,
+    0xe2af4453, 0xbd063e26, 0x108c87e1, 0x5093c977, 0xbb82ea38, 0xbaf76724, 0x11bc0b2c, 0x18d4b6a8,
+    0xa3abebf5, 0x5dd09104, 0xa77a5cfa, 0x64b8cf2f, 0xcfec1675, 0x5ac435ac, 0x679861f4, 0x3df83629,
+    0x0708f2c7, 0x3a65ec31, 0x30d572b0, 0xec4f0299, 0x5cb30dd5, 0xeb799950, 0xc0989792, 0x4142cff8,
+    0x2eae7246, 0x80afd557, 0xdb1bd274, 0xe61d8cfb, 0x9047172c, 0x798c45ec, 0x57a08d80, 0xd7772d09,
+    0xe03f02b8, 0x2fcb8e9d, 0x648268a8, 0xaa173774, 0xabcd9538, 0x3a1ebe90, 0x67d339d4, 0x832cf075,
+    0xe2c1238e, 0x6ad0b829, 0x2d649b78, 0xb64206fe, 0x55637174, 0x197a57c8, 0x5e82cd5b, 0x74a104cf,
+    0xffc3e1d3, 0xd31f7cb6, 0x6f5893a0, 0xd2b17e71, 0xa73abf7c, 0x718e8c4e, 0x5ca085e5, 0x8573f08e,
+    0x00000000,
+    0xfffe56ca, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000032768 */
+  { 0x00000000,
+    0x0a13b193, 0xd1fa5120, 0x07b5201d, 0xbe524439, 0x25a22f47, 0xe3f7ba94, 0x0dd1999d, 0x83a7c423,
+    0x027f565b, 0x2f061ca3, 0xb9563854, 0xeeae5661, 0x3ba18b37, 0x886161dc, 0x14854487, 0xae70ec66,
+    0x4b46f816, 0x204814e4, 0x36b78113, 0xf1c07630, 0x919fe9e8, 0x8e48f57c, 0x3b5f53f5, 0xc5f2544e,
+    0x9b676615, 0x6704d60c, 0x1b5be99f, 0xac5105ad, 0x220edccc, 0x75ff9c1e, 0x804fbc56, 0x0059eb23,
+    0xe4463062, 0x7d8e3128, 0x8bb54032, 0x05aa5116, 0x97ded2fd, 0x61796ae7, 0x57a22105, 0x3bb47219,
+    0xce7eeda4, 0x13789e99, 0x8a443c20, 0x43601481, 0x37b10ff9, 0xe20c772c, 0x03c8d44f, 0x8d668b1e,
+    0xa6fdd4fa, 0xcd1d0aa1, 0x29788db4, 0x5a9ae22b, 0x72d17d26, 0x4c9c73a1, 0x394365da, 0x0bee3cca,
+    0x85a0f972, 0x1a292777, 0x1eee85c4, 0xa8af6800, 0x84ebc211, 0xe621384f, 0x77dfbc0c, 0xf346f34e,
+    0x2965e178, 0x8095fdcf, 0x419f3135, 0x5b4c2d0e, 0xccee93db, 0x6d0f7edc, 0x5a06541e, 0x2b56bc5b,
+    0xda7f63e4, 0x2f983a92, 0xdc2c17c2, 0x23aed657, 0xc12e8bf9, 0xa1b0329f, 0x1f7d6d77, 0x1172d67c,
+    0x6db915ed, 0x2f08bd60, 0x03acfb39, 0x95f04c1a, 0x2086647b, 0x422a5068, 0xa5b70273, 0x8d02bdba,
+    0xf445d605, 0x6534808e, 0xa5cd6953, 0x780983e6, 0xae42f57d, 0x1528cb34, 0x636fddbb, 0x263c360a,
+    0xd4ce67d9, 0x69f2f4ee, 0xb652b218, 0x68cb115b, 0x0d2f98a0, 0x573c1403, 0xd3293a89, 0xcbda5f56,
+    0xe6c844f7, 0x6047a88c, 0x52b9e55c, 0xe4213e8f, 0xc29fa59d, 0x71415a09, 0x42aacffe, 0x013fe70f,
+    0x1e41c47d, 0xf6d3463f, 0x9259f91a, 0xb33b0696, 0x3773599a, 0xe58f1759, 0xe8300210, 0xd341749c,
+    0xc94c2c2d, 0x9a198f82, 0x68af1e9a, 0x36cfc4a6, 0x4ce7fd97, 0x13b5e5b7, 0xbb7b0a87, 0xe766d430,
+    0x8cd76c0b, 0x55c1da5a, 0xdcda522c, 0x53027439, 0xbb2fbbf3, 0xfc5118e9, 0xbd00f94c, 0x6defb9ab,
+    0xf454550e, 0x1329a934, 0x562c94e0, 0xa3a7593a, 0x7d1d8bc6, 0xb03e1db1, 0x1a5e3260, 0xcde3aa93,
+    0x5b16991a, 0x6c132f4a, 0x5b45ab5c, 0xfdef01fe, 0x1fb3d458, 0x0ff0c58b, 0x9a8dbb2b, 0xfe8c8574,
+    0x909bc50b, 0x7997680a, 0xd13790a4, 0xd55b28e3, 0xcfa5447b, 0x973b64f8, 0xc6fe23c5, 0xee48f02d,
+    0xbd5c38c5, 0x8983e5da, 0xa3ffb3f6, 0x07e53736, 0xd3d6a170, 0xd52df580, 0x73f10312, 0xf6b00cf8,
+    0x41d3b012, 0xdd70bc79, 0x20b3c7a8, 0xd2622706, 0x9695095f, 0x17e77531, 0x8733fcd8, 0xfd482448,
+    0x0024d1da, 0x6d4c6194, 0x8b923e79, 0xe443ebd8, 0x1d0d7ec8, 0x36f19481, 0x5a11de3b, 0x05b92abd,
+    0x24d38788, 0x73889201, 0x442166c4, 0x25c803a6, 0xa8eb18bd, 0xb5654b85, 0x55841cd6, 0xc5afc539,
+    0xa45b9ae8, 0x223e31d2, 0x9f38c4ea, 0xd34ae41a, 0x46ab7ecc, 0xa62d7382, 0x9e838c20, 0x8305a4c5,
+    0xb21dcabd, 0x1b6c4f2d, 0xb52910a2, 0xe11bbd02, 0x77f70aed, 0xe94de3cc, 0x136c2398, 0xc7b50399,
+    0x9fa927c4, 0xc616532f, 0x4913b4bf, 0x88a40426, 0x9a475b98, 0x90e91bc6, 0x6d32c39e, 0xab178544,
+    0x89c7eaa8, 0xdb6737eb, 0x21f0d5d7, 0xbf7eaee0, 0xadb8f12d, 0xf1fe414e, 0xe55794f7, 0x68e65fcf,
+    0x5edfb633, 0xabf3fb1b, 0xff09532a, 0xe27ec1d5, 0x42330987, 0x3d2d8b22, 0x30662c53, 0xb703d57d,
+    0x9cc96b98, 0xba97fec9, 0x7c680c7b, 0x0a4361a3, 0x2b674e01, 0xbc04e53b, 0x43eb5063, 0xdbe36c42,
+    0x3a55932a, 0xf47f803c, 0x64b49600, 0x775744b2, 0x1e80cc79, 0xa3409b71, 0x30d08343, 0xecb39cc9,
+    0x76c38243, 0xd5a5f113, 0x46b7824d, 0x230cac59, 0xa094ef0c, 0x26eb268f, 0x1ed6ec71, 0x81a489fa,
+    0xb7b15d21, 0x61ba597b, 0x00dbf357, 0x64a69898, 0x742279d6, 0x18d211e4, 0x62f436eb, 0x5fc0c7b6,
+    0x54a114a4, 0x0225b166, 0xf3aed7d6, 0x4654f137, 0xb74c6864, 0x017d1364, 0x490f7d42, 0xdcfb501d,
+    0xbc5acad5, 0x0a39329f, 0x51e1f935, 0xd1198c0d, 0xd916134d, 0x8a7711a0, 0x8101c8d3, 0x9b9cfc20,
+    0x28438a4b, 0xaec498b9, 0xfb0d9294, 0xb2a661ec, 0x321bd58b, 0xb8728d40, 0x539e6273, 0xdb42d967,
+    0xba0d9b59, 0xb1e5522b, 0x6cf261a5, 0x8fe54e6c, 0xa8077224, 0x9dc48648, 0x000ebd55, 0xc991a4e8,
+    0x6fe61a2b, 0xb5de30bc, 0x4c3f2636, 0x6f009052, 0xbcc63e9d, 0x909ab15b, 0x8ec33db0, 0x667a7a38,
+    0x560e95cd, 0xce789178, 0xdf4c35e8, 0xc36b1492, 0x455b1cf5, 0x7640df4d, 0x663b96ef, 0xb8e141fe,
+    0x6a5adfb7, 0x700bedf6, 0xaa09e799, 0xab4c8dfa, 0x85a03bdc, 0x106760db, 0xd97e004d, 0x9c509d18,
+    0x54d19cfd, 0x0d6d7c2d, 0x63271dcb, 0xd9369e35, 0xad7133b8, 0x9c610e7f, 0x067364c1, 0x8cb60b02,
+    0x2f52d1af, 0x6a139fbd, 0xd0432525, 0x0cc4c46d, 0x5e801eef, 0x64da8aad, 0xdf1e2695, 0x3c44b090,
+    0x33a6ae8b, 0x977c6d2b, 0x64b665b7, 0x219e39b9, 0x2c396ca5, 0xe097c3d4, 0x30bb26d9, 0x21559385,
+    0xc4605955, 0xa07fe647, 0x9f3485c3, 0x1153d10d, 0x841de65e, 0x5dbe991e, 0xb469b86c, 0xc6099ac6,
+    0xc3a25778, 0xc024d825, 0x31a15599, 0x68e2a99a, 0x077bc39a, 0xaae41dfa, 0x9d9c6773, 0x26681d11,
+    0x2cb8cff7, 0x813d69a7, 0x434655c3, 0x350ff547, 0xf85b7731, 0x898c8389, 0x525dcae7, 0x5a4f7162,
+    0xd6818ff4, 0x2c7d1ad8, 0x55f5e667, 0xed072559, 0xd87c67cc, 0x34464662, 0x4ac1a459, 0xdf8f42c6,
+    0x96463d40, 0xee102f94, 0xf04bb8fa, 0x72f4cb58, 0x27b67188, 0xdbcd3e4c, 0x49c104f1, 0x7ce8dc8d,
+    0xde193397, 0xd7339393, 0x684ead9b, 0x35f22039, 0xac2e973a, 0x339c7ddc, 0x91a8e8c4, 0x2b6e657b,
+    0x5093297f, 0x3395873d, 0x57bff4a5, 0x28d40e38, 0xdca9cbf4, 0xa8e22c77, 0xbb813d7e, 0x41a14609,
+    0xd3dced3b, 0xc9e003dc, 0xc0ae5810, 0x884813d3, 0xf76b69dd, 0x2e289289, 0xd0163c0a, 0x6cd41b54,
+    0xe6bd4ff7, 0xe2b13fe2, 0x1d6792b1, 0x5ee05f84, 0xd2fc2fbf, 0x9632e76b, 0x281206ab, 0x457118f9,
+    0xd48ca57b, 0xb2cbf672, 0xd2f3f363, 0xa1fcf271, 0xcd19daf8, 0x24fb1c0b, 0x189a3f06, 0x8061b613,
+    0x2ea70a37, 0x6d1aa80f, 0x59fcd2ce, 0xcd9fbcd9, 0x5e368d3c, 0x78ce66da, 0x6b0e8865, 0x6bfc6598,
+    0xa5d5fe6b, 0x7830bbf0, 0xe22a889f, 0x295b85b2, 0xb214e7a0, 0x21a2af8f, 0xc1acc105, 0xf97eef6b,
+    0x9d74eaaa, 0x7385f76a, 0xb2419bbd, 0x42f1e6eb, 0xa47de212, 0x6ec2d63b, 0x732d4bf5, 0xee1e7bba,
+    0xb1d885a0, 0x1fc1e2e6, 0x0be7ffba, 0xefd9a66c, 0xe1d9cf19, 0xf8301be6, 0x2834338c, 0xb5ea5c70,
+    0x6ab85755, 0xcb706382, 0x23fe47bd, 0x4a6e85f3, 0xd42a91d0, 0xd9b6e74c, 0xd1b70bd2, 0xeea19b95,
+    0xdf182e8c, 0x1a8cdfda, 0xa5507675, 0xfba1e001, 0x5b074fea, 0xa6e99b87, 0x332efe9e, 0x6dbec998,
+    0x32b31a70, 0xeef09faa, 0xb5f3fc75, 0x47a1ae16, 0x416c0aca, 0xd4691759, 0xdf84bf66, 0x0ce3f78c,
+    0xe60037fa, 0xe0a18766, 0x596017ba, 0x50fef6e1, 0x50d383da, 0x4dd36dcc, 0x513ca044, 0xfdc75949,
+    0xb50fbf88, 0x1d166796, 0x017c45ca, 0x20e96987, 0x0c36848e, 0x32ce6e6c, 0x5158dd78, 0x0b8ee7cf,
+    0x18bc90e7, 0xb778c344, 0xca134dad, 0xb5862a6a, 0x02b9ea2d, 0x2c1d54ec, 0x39cf4b83, 0x96f83b00,
+    0x2ab57982, 0xabaa3743, 0x8f141169, 0xe424b1b7, 0x2574bb92, 0xe02d1b2b, 0x82d76071, 0x61ed0c2f,
+    0xe9eb4fae, 0x927c7fa7, 0xa96fd5d6, 0xcaa8d7cb, 0x5fa66d74, 0x11140f3c, 0x21f646d1, 0xda528876,
+    0x69c3dd18, 0xcd888117, 0xcaf77898, 0x3bb85486, 0x8f5ac45e, 0x4ffdff9f, 0xace4894b, 0x9d3a5d8f,
+    0xa4575774, 0xcffe0c3d, 0x27cabc79, 0x91c7fa27, 0x387d3020, 0x562ff8c6, 0x8e4233e7, 0xd32f35f3,
+    0x1298c337, 0x41ec6314, 0xdf36b44b, 0xe4ab51ac, 0x08644380, 0xada0a685, 0x51bae7cc, 0xf2b3a0ec,
+    0x13161aa7, 0x64288ede, 0x18362fd8, 0x35bbe53b, 0xecc974b6, 0x5f4dd48e, 0x39f1d448, 0x280af4e3,
+    0x8b6d4971, 0xcdaed417, 0x6688b6e5, 0x463f1783, 0x3f4de578, 0xc2f86cfc, 0xed9b73ac, 0xd7479894,
+    0x562506d2, 0x28dee701, 0x93dd5555, 0xe77ef01c, 0x0350160d, 0x2245170e, 0xd382abd1, 0xce917e83,
+    0xef605e51, 0x859de99b, 0xb084c37a, 0x4b4d23fa, 0xc28f2327, 0x21de4e00, 0xa6e06b04, 0x0a33967a,
+    0x4f1ef4b9, 0xc4331e86, 0x301daad1, 0x7a564dcb, 0x370a5830, 0x5d9970fd, 0x7ef4c06f, 0xebe00e20,
+    0x8f188c9c, 0xa7705653, 0x3b63fb80, 0xe4d15e9b, 0x7293257f, 0xa23aadc5, 0x53506ac5, 0x16801244,
+    0xe4230b51, 0xe639b3ca, 0x3b95a3ad, 0x98a41e80, 0xa082d3eb, 0xcb4aa46b, 0x04b8a39c, 0x72f4c490,
+    0xf70574ad, 0xa88a8d1e, 0xb1cd1a6e, 0xe2824849, 0xbfb977d7, 0x1fd5c7cb, 0xcaac809d, 0xff67937d,
+    0x65424b7e, 0x65932bf3, 0xaef2df9e, 0xed4bb23a, 0xb537dd5c, 0x3f579ed8, 0x625bc6ba, 0xef472050,
+    0x96697d5c, 0xb7c18aa3, 0x99733c8a, 0xa8e7105c, 0x4dc8642a, 0x93a62e8a, 0xbcaabf9c, 0xb94716b7,
+    0x8a481e04, 0x46a94618, 0x8a910ef6, 0xc5afc9b2, 0x670139fb, 0x2ebf9945, 0x26b29e5c, 0xb922cbf9,
+    0x84d78e22, 0x2fc5b710, 0x0d16e0f5, 0xa759c979, 0x6a8816ba, 0xe2aa3acd, 0xb8ff1ca1, 0xd7188ff6,
+    0x20444a66, 0x4eda9572, 0x5b21543f, 0xb3cf715e, 0x5c580e91, 0x1d8d541b, 0x8e8d387b, 0xf9ca0101,
+    0xe5aebc35, 0x6c9d955f, 0x55ea9536, 0xf22f2be5, 0xae5b4666, 0x350624d2, 0xbab82c74, 0xfc79d3db,
+    0xba8b9b74, 0xa9db12d5, 0x1f1fe25b, 0x67ef41b0, 0x317be4c4, 0x442345e9, 0x4bffd0d8, 0x893281f1,
+    0x84fdb5f8, 0x227da4f2, 0xb13aa065, 0xa0c329a6, 0x3082aae3, 0xa431cfed, 0xa27a8fa6, 0xbd9626b3,
+    0x0449af37, 0xfabc0e6a, 0x3ba749b7, 0xa5e92348, 0x2bed1e0b, 0x93c3ea27, 0x7af1a224, 0x800ea6ae,
+    0x1eeb7843, 0xc8935726, 0x8c516ce2, 0x46cf979d, 0x939da841, 0x621b8761, 0x0096ffda, 0x92535d6e,
+    0xbd965efd, 0x0ac1f76d, 0xb6a1178a, 0x802de073, 0x0e5d62de, 0x8eb9c550, 0x4f7e1cc3, 0x1de641f0,
+    0xc59f1392, 0xd093b3f8, 0x05eb0070, 0xa6010804, 0x90d6ab05, 0xcfb9f50b, 0x1fc63082, 0x70e2c843,
+    0xa21860d6, 0xfebb4f6c, 0x35d1472b, 0x1cc7637b, 0xefaabad8, 0x9648f179, 0xf6c40fae, 0x8139a24e,
+    0x9b55b3e0, 0x680370d3, 0xa22e3840, 0x5ec5bbd1, 0xc475bffb, 0x0816b80f, 0x414de158, 0x138c643d,
+    0x948fc5d8, 0xd1f03de5, 0x2de298d0, 0xd3fa08c3, 0x0cefd762, 0x5e43a830, 0x21cd4ce3, 0x96557a05,
+    0xaf73fbf1, 0x48fb7725, 0xad6b6ffb, 0x40f7c6f3, 0xc6bbcfb6, 0x3a8c69f9, 0x66f31e3e, 0x43ee0ce3,
+    0x97b84b73, 0xca613622, 0xe68cdc0d, 0x14aeac14, 0xdb5d41c4, 0x3813f05d, 0x3b436d50, 0xbba3d853,
+    0x9f539f60, 0x80e57258, 0x7305ce56, 0x56ec5020, 0x9aeeeb65, 0x2a2247a8, 0xde22c3d7, 0x67c4e42f,
+    0x6144dd84, 0xa8e5ef93, 0xfe8a854e, 0x31979be7, 0x41b6801b, 0xa6b33434, 0x93b6e411, 0x8c148447,
+    0xf55c0d5c, 0xc827e0d2, 0x5fc7a17c, 0x838b9b3d, 0xe5735f77, 0x9109dcdf, 0xa6dcaf7a, 0x8969a13b,
+    0x02711cdb, 0xc8c6ad0c, 0x7840b1ea, 0xfc30768a, 0x6bc397a9, 0x0c6086cd, 0x377ab3d3, 0x2c39c31e,
+    0x3311de05, 0xfc1ca13e, 0xd7aa1f56, 0x30b2ed59, 0x00f8f5f1, 0xcb3b0834, 0x6d529da5, 0x32c05283,
+    0x10b13491, 0xa422627b, 0x3b45b0a7, 0x230ccc54, 0x6a5e0a4f, 0x8321feb0, 0x6fe40c06, 0xe17f4012,
+    0xa876f9bc, 0x071da16f, 0x81696885, 0xa8bcfb97, 0x1f1235a1, 0xb0c06fbe, 0xf7281d9d, 0x624af84b,
+    0xd998607e, 0x3a68bed7, 0x7778bcb8, 0x87f78e94, 0xf9696550, 0xd65b30d6, 0xe6785c17, 0x1dfce69e,
+    0x79e760b9, 0xb9617934, 0x9eeb091b, 0x625f14be, 0x320f9563, 0xe111c4a5, 0x0d1732a9, 0x33ec1758,
+    0xbc2389e7, 0xff3e6bba, 0xe88c36b4, 0xf467b3c0, 0x0c5860c8, 0x205197ce, 0x2c66bd78, 0x4f49901a,
+    0xeb38ab13, 0xf774a83a, 0x496e1abd, 0x56b8734e, 0x07f58b63, 0x32c89089, 0x4b1a623d, 0xfef9c200,
+    0x5dcbdf82, 0x1a0ef29a, 0x505e5dcc, 0x01788ef3, 0xbf846cdf, 0x0a797562, 0x8f260d04, 0xde399897,
+    0x194174b1, 0xb69657f1, 0x5f6659e6, 0x80610abb, 0x6be240d8, 0xa9f02237, 0x69c88b0f, 0xbcb107c3,
+    0x79bae6e3, 0xbe1be98d, 0xc1e8a44e, 0xb7640b1c, 0xf4cec0e0, 0x467db5b5, 0x1d4c43a7, 0x9dd962f2,
+    0x1cd045cf, 0xbfbe9a39, 0xfcd0d7c9, 0xb1a73830, 0x5b7823ef, 0x7f66e357, 0x83834528, 0xac092e91,
+    0xeab182b9, 0x4d829a6f, 0xc6ff211a, 0x85419a7c, 0xa608d9df, 0x57a23928, 0x0215eb27, 0xa9a1555d,
+    0x81cc7766, 0xd5480c92, 0x9f90673d, 0x72522ba9, 0x4308ee49, 0x333e8968, 0x2ee483ba, 0x472ff876,
+    0x8f4db564, 0x9ceb6532, 0xfa33012f, 0xfcae0444, 0x9be0c497, 0x2711f245, 0x297347d5, 0xe55f98fb,
+    0xcff3d526, 0x59faec09, 0x640a16f8, 0xff65e2a0, 0x63cc8cd7, 0xf85d76d3, 0x916308e0, 0xebbc5df2,
+    0x4778484a, 0x0550cabd, 0x7b4974ee, 0x4f383e70, 0xd666008a, 0xd3fcec96, 0x3161b18c, 0x70c6652d,
+    0x89ca22d0, 0xe1b95ebe, 0x9643175e, 0xf006ed4a, 0x4d79f7f8, 0x26b0ceb0, 0x9b0c64a0, 0x62f3a078,
+    0x3b97a074, 0x6d71986d, 0x786f2537, 0xcde6566c, 0x64c72b7e, 0x40969453, 0xdcfe0d07, 0x0f4ddf06,
+    0x1caf4fc7, 0x2d6a5d40, 0xd8b66e0e, 0x440a3e56, 0x5a743c13, 0x1048cefc, 0x30dc68cb, 0x86a68ec5,
+    0xb78e4261, 0xe4c64dbe, 0x3cad7812, 0xda190733, 0xa5510f7c, 0x13cad56c, 0xe9e6104b, 0x66b04376,
+    0x3b2f3e6a, 0x41e9578d, 0xb4500607, 0x5ab7ffe7, 0x1ff4ac71, 0xa43f2f0d, 0x1c235c84, 0xe3b02aa6,
+    0xd6d9c98a, 0x332e1109, 0xcc6eb05c, 0x61d2286f, 0xab7ead1b, 0xa82d7479, 0x330136c4, 0xfd484218,
+    0x69098490, 0xa379c7d7, 0xe75ff8fe, 0x9d52578b, 0xc1b3138f, 0xe60e1f1c, 0x4c9acca2, 0x41a2c2cb,
+    0x58521468, 0x45f52c7a, 0x4c7e18aa, 0x3c67c643, 0x2bb8e220, 0x97e9b9ca, 0xd32fa695, 0x007244ff,
+    0x206f1aac, 0xe559cd6b, 0xb7b8299a, 0xa17a0412, 0xbd4fa60e, 0x0a42116e, 0x137bbb2a, 0xfd1ab4d1,
+    0x7bd57c81, 0xf6b84794, 0x42a2899d, 0x35b62681, 0x72f93ae7, 0xfd2e2dd5, 0xb9098550, 0x871b50c2,
+    0x4d1347e6, 0x69de4d9f, 0x2dd5735e, 0x5ffc377c, 0x9a9d1b52, 0x02e31447, 0xbb4d7845, 0x0703e028,
+    0xc9886ef0, 0xbb9e5f8e, 0x143dc2a9, 0xffe9c27e, 0xf6efa18b, 0x1876005a, 0x2138b9fd, 0x1a29f86c,
+    0x67b318b7, 0xed3491e8, 0xbfe56662, 0x538a30f4, 0x4283bb25, 0x456e9e09, 0x0e108517, 0xb8d5bbe7,
+    0x00000000,
+    0xffff2b64, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000016384 */
+  { 0x00000000,
+    0x8a2a957a, 0x67f4882d, 0xf4983e98, 0xeee37aaf, 0x567366a3, 0xd3eba988, 0x42b533aa, 0x727368aa,
+    0x5a2c16c3, 0x97005e90, 0x9a478c3d, 0x3a6e7743, 0xa3ae26b5, 0x1c43a0d7, 0x43a872af, 0xb23733ab,
+    0x5964ef47, 0x6fd9d17a, 0x43b6a980, 0x64fe6458, 0x25d60251, 0x50348a4e, 0x250b29a3, 0x899f3e55,
+    0x825c9b08, 0x4566e226, 0x920be131, 0x3d142f27, 0x6a4a65d2, 0xc36d7557, 0xa9619cbe, 0x62b320eb,
+    0xf1ecf4b6, 0x89dc3bfc, 0x3a935b40, 0xb8866fe6, 0xa112b1bf, 0xba8a3418, 0x0de91574, 0xecad4ea7,
+    0xcf875694, 0x5bf33def, 0xd4944fdb, 0x8f835858, 0xfe104ac2, 0x22496d54, 0xce15d154, 0x9299963b,
+    0x7d439ba4, 0x25ed60de, 0x6f863104, 0x69f2b4ae, 0xbc911cd9, 0xf6822bea, 0xe0890875, 0x2dcc9504,
+    0x608ccc9f, 0xf526520d, 0x7b2dc6e9, 0x2d8cc437, 0x0f1c30ff, 0x27a8bde4, 0xb4fa7be0, 0x3f49f1ce,
+    0xd20aadc5, 0x37550568, 0x9201cf1a, 0x790404e2, 0x14867fea, 0xff1a3892, 0x34f063a7, 0xf26066d5,
+    0xe489dba6, 0xb902a2b7, 0x3e1a6bcc, 0x0cf696fe, 0x95aa512f, 0x5278da93, 0xb266389d, 0x1f3df615,
+    0xa97f85cf, 0x2a020cf5, 0x6e54bccd, 0x3dcd7c2f, 0x564ddb18, 0x1490a29d, 0xbb2dd5eb, 0x6f77ed0c,
+    0xf589d511, 0x6b9205b1, 0xe9ff5be6, 0xdf8665d9, 0xe523b597, 0xa16fba4a, 0x244064b0, 0x6fb353f5,
+    0x9a0be728, 0x3ff0d4dc, 0x8f6a0258, 0x90fa6b4c, 0xb5440844, 0x6ec9ddcb, 0x35fb3d3e, 0xa30a9232,
+    0xd058663b, 0x87442ba7, 0xf58e3042, 0xd398ed25, 0x640ac534, 0x2a4b5941, 0x4622c993, 0xdbfa7eb7,
+    0x1bb71c87, 0x0eb8db7c, 0xe069a9a2, 0x7456bb38, 0x0e7fcd2e, 0x695a8911, 0xe4de6bf6, 0xb4143a77,
+    0xe3ba1421, 0x7570eba6, 0x6da5d3f8, 0x4e1f0eb3, 0x09c16162, 0x7c125624, 0xd9e50cf4, 0x3e693689,
+    0x51e65a49, 0xdc606c39, 0x90a03721, 0xd3690870, 0xc90c586c, 0x95473b21, 0xeabc0065, 0x6755e340,
+    0x26a5e71f, 0xc1e3c27a, 0xf933f0ef, 0xac5d0e67, 0x11e63762, 0xd02befa3, 0xc1b587ff, 0x0ffb7aea,
+    0xd0335a08, 0x509d2115, 0x756f0190, 0x6b799549, 0x86087573, 0x7a0b5576, 0x3551212a, 0xdf9ea5b1,
+    0xde1025d1, 0x8234f36e, 0x7f91e940, 0xb2def5cb, 0xe410145e, 0x5cf274c1, 0x8d626902, 0xa29b2170,
+    0x2bf071a1, 0x4715f2ae, 0x21382248, 0x1f251d38, 0x533f700d, 0x75ca914f, 0xa66b70b9, 0x1cb39354,
+    0xe72b409b, 0x4decd778, 0xa92d5e45, 0xe0d4b8c6, 0x95bc9e10, 0x89322ca9, 0x71ebed00, 0x9548e611,
+    0xe395b03a, 0xc4550e94, 0x1a65d4f6, 0x56d455a1, 0x09f29939, 0x9e6ea388, 0xe9a03004, 0xc1809b0f,
+    0x2e6a19b2, 0xadd0fd81, 0x13987727, 0xa943816b, 0x6d4caa86, 0xdcb13d35, 0x339e65e8, 0xb5422386,
+    0xd041f41e, 0xfc2601ff, 0x921ac172, 0xf78fd749, 0x9b37d686, 0x6c32b270, 0x27829939, 0xd0dd76ee,
+    0xea54acd8, 0x2c62a79f, 0x63ff1d26, 0x700a670f, 0xdfbec6c6, 0x6848146e, 0xfbec2352, 0xa4981592,
+    0x14c01760, 0x80e79885, 0x4bd29db8, 0x283b7d18, 0x0ca01370, 0x0f846a07, 0x223ace7b, 0x53f2bd6c,
+    0x9e794527, 0xb0dd0765, 0x85cf8620, 0xbc090469, 0x6d706aa7, 0x2650bbb2, 0x6b15cc2b, 0xb526fbf6,
+    0x9de6c82f, 0xe58abe6e, 0x24761408, 0x04e0a9d4, 0x06881db2, 0x4a242e0e, 0x2a10bede, 0x79f3fe36,
+    0xeaf57d5b, 0x072cd50c, 0x3d219591, 0x13bbae59, 0x57c4407e, 0xf0ba8c29, 0xab88f4c3, 0x96cea3a2,
+    0x8361f5ea, 0xe2ea6ab2, 0x9986b7e3, 0x4ea9cd25, 0x125f08c0, 0xf5555fb5, 0x5347b411, 0x8d682ca1,
+    0xcb0408c9, 0x10d16dbe, 0x9a3b0149, 0xf0612f63, 0xf9dcd33e, 0x39c98aee, 0x3c29a7b7, 0x8d5174c0,
+    0xfae945e5, 0xc33e73ce, 0x2f75382f, 0x9d68926b, 0x112b65ee, 0x0246d971, 0x914e5609, 0x7608fb42,
+    0xd7e580b1, 0x116d831d, 0x04516614, 0x17ced92c, 0xfce1e252, 0xa705e049, 0x5e53a34a, 0xf88d37ab,
+    0xf44a5a0e, 0x2f7f5aa6, 0xe802e534, 0x24281971, 0xc4f4a91c, 0x213e6e8d, 0x0ba0cfd3, 0x18ac43af,
+    0xd11dc047, 0xefddd512, 0xcea8cbb9, 0x2f9dc326, 0x7e6d142f, 0xda0952ea, 0xe4d5ccdd, 0x69803dea,
+    0x5e0835a2, 0x96ee57ce, 0xe7335e4c, 0xa5f56cbc, 0x036d35ec, 0xa25b0f70, 0xcb724e08, 0xb20b1716,
+    0xda79ce5c, 0xdc56577f, 0x732a2816, 0xd46d8f89, 0x46e0ea16, 0x3c35ef6d, 0x965fe831, 0x2d3296c5,
+    0x8983054b, 0xc6fc868e, 0xcdca17aa, 0xa84457c1, 0x794561d6, 0x8a871dd9, 0x72398614, 0xb4debbcf,
+    0xc473eb0f, 0xc2de8830, 0xfc2d5095, 0x575052c1, 0xa34c2302, 0x49efd98e, 0xb4b70a27, 0xf4eb76c8,
+    0xcdce1cb3, 0xf56c5bac, 0x4adb6445, 0xa973ed6b, 0xe60281eb, 0x6e94077a, 0x43ddb52e, 0x785af9e4,
+    0x1061de84, 0x51284a07, 0x68203cb7, 0x503e996c, 0x2e3f62bc, 0xcec049af, 0x88a3887a, 0xcaa09994,
+    0x90ebe243, 0xad3f8c83, 0xcb8de7ef, 0x14c01a20, 0xe4ac6afa, 0xf6597abd, 0xaa4fa7be, 0x0357c6ae,
+    0x0f1c4e73, 0x00adc141, 0xc1a05a05, 0xe18975b0, 0xa879e4a6, 0xccce85e4, 0x9744d58a, 0x22a255c1,
+    0x8e6d66c3, 0x81dbc1b8, 0x6330d9ca, 0xed2725f0, 0xee8cc559, 0x5310171c, 0x4e3bfbc7, 0x87465c4a,
+    0x5e7ce15b, 0x2b2ab149, 0xd6081f09, 0x9bc36261, 0x96f655ba, 0x30716319, 0x864b3978, 0xec51d5e3,
+    0x905fcd71, 0x1378b4a3, 0x991ec67b, 0x2479ebc9, 0xa48dac8c, 0x73f96882, 0x865b8c53, 0x47dcf70d,
+    0xcc891981, 0x9a802dd7, 0x8d4a977f, 0x27f03065, 0x3903e817, 0xcd292dfd, 0x03a950fd, 0x8b832a85,
+    0x699b6355, 0x2b9cb9b2, 0x72798880, 0x6a08a4a0, 0xa08df2f9, 0xae86a56d, 0x497a8ce6, 0x8c6895db,
+    0xa4e0e426, 0x6e521c5f, 0xab37b12a, 0x4837a809, 0xa6d90e93, 0x4d17ad9a, 0x0a3764ea, 0x21795b8d,
+    0x97020a9a, 0xbd49d6b4, 0x2b486a2c, 0x4f233901, 0x86570bd2, 0x73fa3810, 0x64cd3e6c, 0x4d372c51,
+    0x35dc32d8, 0x0b1bd264, 0x05df9f3d, 0xd90f3661, 0xeeb894bd, 0x08314ae7, 0x50f7d3bc, 0xbefbdb44,
+    0x6f48bff5, 0xf4f08494, 0x891ec27e, 0xf4318397, 0x80d5c878, 0xd5a8d2b4, 0xbbc69af4, 0xaa7ebf00,
+    0xa054e39a, 0xb94a3d4f, 0xb60c1276, 0x205487d0, 0x1323d23f, 0xc76fcae3, 0xc76c5b1f, 0x0335437e,
+    0x0d9a575e, 0xf28d1f23, 0x46faa0e0, 0x7ad38fe4, 0xc269fcaa, 0xb9780ff9, 0x9248fe23, 0x76507164,
+    0x91b4c412, 0x7f122084, 0x52cf0613, 0x7ab6ea71, 0x3d2385c2, 0x957f3d6e, 0xbdd57587, 0x67252108,
+    0xf49cc731, 0x5cb6ecfd, 0xbf732013, 0xd9200d4d, 0x5975ae37, 0x839344ac, 0x16bae2a2, 0xf55f8f06,
+    0xfe84225c, 0x68314925, 0xbd420c2d, 0xda29913d, 0x45f59645, 0xc877810c, 0x51531a4b, 0x4b85d935,
+    0x4d73087b, 0xf7a8ebfd, 0xa8ffb694, 0xa5840b8a, 0x00bf5fbf, 0xd0579fab, 0x9b50cf66, 0xff9e68a5,
+    0xe34dc4d6, 0x40c50ffe, 0x9868c4f8, 0xc4972c29, 0x5cd8c1e2, 0x0939b18b, 0xc881d3d5, 0xa6fff99b,
+    0x0af44383, 0xbc1462ba, 0x59c24fbd, 0x0ff39568, 0x20e10756, 0xb6c4894f, 0x517a8d66, 0x7d3ac8a0,
+    0x80da3cc0, 0x14ba4152, 0x2a206fb9, 0xd676da86, 0xe6b8402d, 0x58abdd40, 0x847cbe0f, 0x30f5ea61,
+    0x963219a6, 0x08838aaf, 0x6dc058a0, 0xc4bfd385, 0x7bea3172, 0x7190b0e8, 0x79324577, 0x822efffd,
+    0x3449a1f1, 0xb854dfe6, 0xd3e8fac9, 0x00ea7280, 0x517d759d, 0x502b2db3, 0x169e2414, 0xda3af242,
+    0xa0bc5d5b, 0x9e58742a, 0xefda3a63, 0x33533bf0, 0xa92d3073, 0x422241d6, 0x4bc323a5, 0xdd7fd5d5,
+    0xdded7d8e, 0x911f11c7, 0x06345ab8, 0xa753be4f, 0x651047f8, 0x2e9468e7, 0xd712201e, 0x7b33dedd,
+    0x85a029bf, 0x098b5b3b, 0x09286b37, 0x481dbf5d, 0x2573fb4d, 0xda821fb2, 0x65709705, 0x361f1aa8,
+    0x14bc73f0, 0x586b129a, 0x9707d15b, 0x17a0d68b, 0x6bfa7417, 0x2b9cdbdd, 0xad34bd9d, 0xe5f23b54,
+    0x44904e56, 0xc2dae8fe, 0x8ee434c1, 0x37838074, 0x86e25e11, 0x2a00d74c, 0xf2cd7ff4, 0xe9d1ea70,
+    0x9cabdd54, 0x42e93252, 0x0b196d20, 0x5c629b85, 0xf9af88bf, 0x4dd87604, 0xfa06e709, 0x4562669a,
+    0xb643d26c, 0x37ecf3fc, 0x9aaeaca3, 0x6f0d239a, 0xe2558446, 0xf2a2bc77, 0x49f41217, 0x9a678768,
+    0xe574acd4, 0x415f2b98, 0xfe79cf4a, 0xe117a1ff, 0x827d7e0e, 0x11e0b361, 0x52785213, 0xeaf79b3f,
+    0x5bb7501c, 0x278046f6, 0x5255f19a, 0x723f1626, 0x42f12378, 0xf5081476, 0x170fa7f1, 0xbc936ebd,
+    0xb1c22e51, 0x3387673b, 0xe283be1b, 0xa473f8e7, 0xb4304219, 0x35f7103b, 0xc51ca20a, 0x6c54a2e1,
+    0xefd86b2d, 0x18c58e20, 0x9e4ca134, 0x35aabefb, 0x64e53a64, 0x393c1e29, 0xa86b1d5c, 0x1b57392f,
+    0x7a1f0c66, 0xa7c777a1, 0xd4d8059d, 0xd6f87c3c, 0xf6dc55c7, 0x739c018f, 0xdf89741e, 0xeae8d1e5,
+    0xa80924b3, 0xd3923995, 0x33a419f2, 0xff9746b6, 0x7ba2daff, 0x00aee686, 0xa24792ef, 0x5c3ff826,
+    0x184bf3d5, 0x8464745e, 0x178dcde6, 0x7e186ce9, 0x258bc757, 0x0d395cbb, 0x601bc790, 0x2ce70416,
+    0xdd6b580f, 0xdcec26db, 0x573c6d59, 0xa15209e9, 0xf8c256db, 0x57cb7d62, 0x459acaa3, 0xd0e6b464,
+    0xebe019b6, 0xd40cabec, 0x14e20f56, 0xfdde60d0, 0xa676b3f8, 0x396b1b3f, 0xab6d26d4, 0x44394641,
+    0xd7e4f467, 0xa107b5b3, 0xcc9c8280, 0x00f644be, 0x0e84246c, 0xda46e20f, 0xdbf51f63, 0x36f333cb,
+    0x74341220, 0xdcb7d203, 0x47750a57, 0xf14eea47, 0x2a47b2d4, 0x9afc0f6f, 0x21ebca88, 0xf9bed4f6,
+    0x26de8d71, 0x9cf96983, 0x51c159e9, 0x27c5ab45, 0x632e9264, 0xeecf2904, 0x4f862324, 0xb7f28385,
+    0x91fec3c8, 0x7e46681d, 0xedc3b561, 0xb8cbbd3e, 0x86c75eae, 0xbe05fb6a, 0x146b1d57, 0xf703d15a,
+    0x8233969b, 0x5c965797, 0x6111a15c, 0x68a5b6cf, 0xc992f0c4, 0x9192a841, 0x7da40549, 0x735158f1,
+    0xa4088529, 0x48e829df, 0xa8e4991a, 0xf95fc4a3, 0xb3b0c220, 0xcd023498, 0x1b391fac, 0x2a981dc5,
+    0x8bb55181, 0x82e89f35, 0x6a4ad796, 0x5c5955fa, 0xf5d2e255, 0x39bbebc9, 0xa4b492bf, 0x764ac0f9,
+    0x932c2b83, 0xe0417c24, 0x6289cba3, 0xad8481ef, 0x9317d807, 0x028ee630, 0x66e41b4f, 0x67f79e51,
+    0x6744e715, 0xb555c6d1, 0xdfce8f0d, 0xab0a39ff, 0xba7f52cc, 0xb0a54222, 0x168ecb00, 0xcb59d9d9,
+    0x7246527f, 0x87550325, 0xa2253a7c, 0x7e995290, 0x184fb4cc, 0x4be9b73c, 0xeb784333, 0xe1be1b18,
+    0xd71a5c07, 0x8341d79e, 0xff7b5072, 0x26ea67ec, 0x03c66995, 0xb3c86a77, 0x772d0d38, 0xda6eb707,
+    0x4de8d397, 0x0deec789, 0x015fd5a6, 0xe4142e40, 0x97f8c952, 0x094db0b5, 0xd860730a, 0xefae7b8a,
+    0x964a0e63, 0x29c251a8, 0xbde2a395, 0x1e8e1761, 0x4c2a9bef, 0x55c3e1e1, 0x05dc0d71, 0xbc2643cc,
+    0xaecd7643, 0x2bbd8161, 0x4cd7d91a, 0x40eb17b6, 0xfd17b87b, 0x41d36ff2, 0x158d4fe9, 0xd53ec97a,
+    0x489cc75a, 0xa7a3fe06, 0xe35c6909, 0xa1c5d0e0, 0xe29f6c6a, 0x6aec2128, 0x14cc756f, 0xfcf341e6,
+    0x6c1292d9, 0x673507c6, 0x33ad8865, 0xb0e7f756, 0x7d74bf43, 0x7f27820f, 0x31636c48, 0x79dc0886,
+    0xa638abbb, 0x84d79ec5, 0x77db5fdf, 0xa3d34fcc, 0xedd2c24b, 0xfafba29d, 0xf1dc6623, 0xb9f6fcde,
+    0x5fb23574, 0xd1a30db5, 0xed5253f5, 0xd22bb75b, 0x678beb0f, 0xee933020, 0xcbe06089, 0x1d449e6e,
+    0x9f25771d, 0x191e11b0, 0xebaf22d2, 0x754ea957, 0x49c02fa6, 0xd17fd592, 0xe79e1511, 0xb45b3c27,
+    0xe1c96523, 0xa1d13282, 0xe4dc6c49, 0x456c56b2, 0x8cf60621, 0xdca3804e, 0x359253c2, 0xe1e50493,
+    0x5456c573, 0x4fbc6e22, 0x2f3fe824, 0x42aad9b8, 0xa4ff9363, 0xec327111, 0xae61dd28, 0xf7c8816b,
+    0x09f359c3, 0x41310717, 0x2a5ca248, 0x22ab3643, 0x8157abe6, 0x5ffab3f6, 0xe35d431d, 0x0dfeebad,
+    0xf936aee3, 0xedf9a69f, 0xc70b1290, 0x1b17d5f1, 0x42f796f8, 0x048108fe, 0xae16c1f0, 0xc8715739,
+    0x6eada4ee, 0x55554bc8, 0x911344dc, 0x25bf6710, 0x96758997, 0x78256286, 0x0b4eb33f, 0x4077a958,
+    0xa4beb42e, 0x0271253d, 0x7d4d5c80, 0x8e334cf2, 0x96b6cc2c, 0x91641bc8, 0x5dfdd800, 0xb78f16c1,
+    0xb4d2248b, 0x9ff0f24c, 0x1fe4f3a3, 0xdbf87a90, 0x45ff7c4c, 0xa8139110, 0xd2a43d95, 0xbac8c6e0,
+    0x6cb80b3d, 0x7a0e470b, 0x3f0fd6bf, 0x90d2a025, 0xd45297ae, 0x5ce6ebcf, 0xe8667585, 0xf9d87f70,
+    0xac27b8f5, 0xc45b40a9, 0x16430d91, 0x162bbe92, 0x31635999, 0x774295b6, 0x7cc030dd, 0xf9053293,
+    0x4f8b56b0, 0xebe0bea0, 0xbdf62043, 0xa494b7cb, 0xb2808f8f, 0x51a63492, 0x29ff6bec, 0x0aedc75a,
+    0xd1e6808e, 0x86aa576e, 0x03b64bb5, 0xc5d75954, 0xc87119eb, 0x267b0fe3, 0x195b8245, 0x2d3eb179,
+    0x9c779d91, 0x74329c1c, 0xc2f408ac, 0x1f03b553, 0x7848bffb, 0xd36c9708, 0xebc36fed, 0xcfedf48d,
+    0x0a31c026, 0xe7daa2b1, 0x9d173e79, 0x16896d18, 0xcfe244b9, 0x80344c92, 0x645551a9, 0x395af863,
+    0xcca07aa7, 0x6d89bd62, 0xa818f7c2, 0xfa7b6e70, 0x85d14cbd, 0xc5369685, 0xa2b7f537, 0x0df26ebf,
+    0x7ac09d07, 0xbae53c7d, 0x50117c14, 0xa3fdb68d, 0xbcac08d4, 0x88af5ca4, 0x047a75ba, 0xce1fed0d,
+    0x23962a3a, 0xdbf60cc3, 0xfe9ba74a, 0x5888d986, 0x2060e064, 0xbcb2d031, 0x693efbc3, 0xd043a8b9,
+    0x89c90a21, 0x881e517b, 0xcd4900fd, 0x9c1c55a5, 0x4362686d, 0x41371813, 0x741b14ef, 0x749bc76a,
+    0xeb0b6339, 0x1a67a4f2, 0x9cd9829b, 0x3a65e5ed, 0x0f4e1049, 0xbadaaa5c, 0x5b050a2e, 0xd2847b25,
+    0x39d032d3, 0x463c3faa, 0xa4dd6e73, 0xdb2bd744, 0xdd7b9540, 0xda292dcf, 0xb3671c67, 0x61641ea6,
+    0x9f46d6a4, 0x2dd87445, 0xb4f937aa, 0xb2eb3c19, 0xbf94947c, 0xe19b3b18, 0x49783bec, 0x6201bbee,
+    0x62993eed, 0x6909f229, 0xe8e19bb9, 0x8b39dc05, 0xca523976, 0x412ed086, 0x6cc5ffe7, 0xb48c668e,
+    0xe90d2a0f, 0xd99e1146, 0xb1f29a06, 0x1a8a7273, 0xc2009f7c, 0x09e326ca, 0x024bfc40, 0x8e0ca11e,
+    0x15f9df48, 0x4e89a62e, 0xc938b16d, 0xb9b8ed93, 0x3967aa4a, 0xc346dedf, 0x9e847be0, 0x2b8054a2,
+    0xf67c96bf, 0x31f670f9, 0x8f9e8916, 0x5e119408, 0xe0131258, 0xc99c0e1c, 0x72ecbafb, 0x70667772,
+    0xecf66558, 0x1aa3e35d, 0xca08b3d2, 0xeeebc7a0, 0x600498db, 0xeddff5c3, 0x0ce77a0c, 0xee8cf729,
+    0x00eddd40, 0xfd7b1c77, 0x43b307d5, 0xdc434119, 0xc8b0d71a, 0x4628bee7, 0x2cb9572c, 0x35482430,
+    0x55416d56, 0x6e7ad89a, 0x9aee88f7, 0xeef18384, 0x5b05f4c2, 0x5d1d4fd8, 0x686da869, 0xd986c20b,
+    0x00000000,
+    0xffff95b1, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000008192 */
+  { 0x00000000,
+    0xb8ae24d7, 0x91f9381e, 0x1e7115e4, 0x71e9f470, 0x022cd883, 0xc50705fd, 0x9e88ec9f, 0xc287b3d0,
+    0x903edf49, 0x8e95a900, 0xf96028b9, 0xabc84dd4, 0xb07428eb, 0xe30004ed, 0x7b94e7ef, 0x580345cb,
+    0xa0b121b5, 0x237d5620, 0xaf22fac7, 0x82d856e8, 0x372311fa, 0x9dd5fc53, 0xd5a9b0aa, 0xe9f50b7b,
+    0xea766e3e, 0x17147f48, 0x9f17f5f7, 0x7993f613, 0xef15e4d1, 0xad1696e8, 0x1d8bdb0a, 0xf2c05899,
+    0xf855c685, 0x668fbab4, 0x0977297c, 0xf59e5e85, 0x5baf52a8, 0x5ea81ae9, 0x9be6f417, 0xda929d91,
+    0x8f5e4bdd, 0x5c9f5ba6, 0xd7e58120, 0xfd1b98c8, 0xefb416cf, 0x3fc3555c, 0x015f259e, 0x8cb5a292,
+    0xc08477d9, 0xe579f1f4, 0x37496701, 0x529c770f, 0x22173bca, 0x75cc0d1e, 0xbd78e57f, 0x74f20a45,
+    0xe953d404, 0x10ec4aec, 0x5151bd41, 0x592e2c94, 0x9f463013, 0x404b920d, 0x7973d738, 0xfa468069,
+    0xdef14e24, 0x04a69916, 0x29ec28c3, 0xd67f622b, 0x2526d9ae, 0x8507ef63, 0xad13639e, 0x6710d465,
+    0xbfc7c360, 0x658733fe, 0x08bad2d2, 0x0971169f, 0x365c12a4, 0x1e43ad36, 0xd99ed21e, 0x92260b50,
+    0x4f4d7b09, 0xe4e49730, 0x3c4105f1, 0x4085b690, 0x12f40031, 0x0b6ba07e, 0xe27c0ff1, 0xf8eb9b04,
+    0xba4ef234, 0x4b8b6702, 0x864c7758, 0x2f5df172, 0x9a23df7c, 0xa31d91cd, 0xaa362918, 0x37c7d7fa,
+    0xbc3e26f8, 0x7388574a, 0xdb01e835, 0x705d5cdb, 0xf8752f71, 0xac5137f3, 0x12dedba9, 0xfc6b18c9,
+    0x4bd91261, 0x35ba5a13, 0xb0a6d244, 0x7867fb88, 0xcfcaf7c8, 0x5548016f, 0xbd813951, 0x8cb7a5c8,
+    0x2d5136cf, 0x8e5354f7, 0xa7190d69, 0x27382f8c, 0xd016a945, 0x29fcc1e8, 0x11bb5e84, 0x54675e4d,
+    0x336765de, 0x5bb1ab5d, 0x4d79c797, 0xf977107d, 0xec2f1033, 0x9891e7c6, 0x265981c2, 0x2ea66474,
+    0x03368747, 0x06235822, 0xef3fd898, 0x9012fb12, 0x5f58ceab, 0xa27fd901, 0x4afe7982, 0x14ac1cad,
+    0xc71ec940, 0x59c8f005, 0x47df73f1, 0x95198e70, 0xdd0e35f9, 0x7b125893, 0x38d5fedc, 0x4b8db457,
+    0x982d1604, 0x4583cb95, 0x86d2218a, 0x7776e13b, 0x8a7a27dd, 0x2993d9a7, 0xa4115294, 0xd212c8ff,
+    0xc2abd819, 0x1bbb7368, 0x8b7158f6, 0xfe789ba2, 0x97bee6f5, 0x0c2cd256, 0x0b96dc61, 0x9eb0dad0,
+    0x1f616522, 0x9db40400, 0xa7dd5b35, 0xa4e48234, 0x1f5df14c, 0x7dbcee5a, 0x8230f9bc, 0xc6834bc0,
+    0x96130a3f, 0x3c0573f9, 0x470c9f2f, 0xe44aaf62, 0x5608bac3, 0x5ecf8cf8, 0xa14acba5, 0x6ae5dc52,
+    0x9519b8bc, 0xb672113f, 0xcb179fc9, 0x809ccedc, 0x4698b9ca, 0x1420e9de, 0x70f15c11, 0x938f39e0,
+    0x96848668, 0x01edf3fe, 0x4429f63a, 0x31fa8a2d, 0xee727f30, 0xa5401b2a, 0x4a5a181b, 0x042e3066,
+    0xd0e59374, 0x58256c0b, 0x53875c95, 0x8a85df3e, 0xbf667677, 0x18a4a424, 0xc1f2d7fb, 0x71101397,
+    0xc5048006, 0xdaa1d64a, 0xe638caac, 0xe9a97e79, 0xddb68b63, 0x5f669c83, 0x798fc907, 0x1c950d6c,
+    0x92156837, 0x06ef6806, 0xb4d3d222, 0x181da537, 0x7dad69d0, 0x8aeb3f3e, 0xd37700d7, 0xf906e3e9,
+    0xf070e7fa, 0xf8cded10, 0x049685b2, 0x01e88730, 0xf91c4928, 0x449876ab, 0x46bf3222, 0x9202f914,
+    0x0f079a6c, 0xafa78d44, 0x3398b9e4, 0x0691d112, 0x814da19c, 0xdf6081a0, 0x49e74075, 0xd9dab2b3,
+    0x67b0a199, 0x88730cee, 0x346ce1ce, 0xaa789128, 0x716b597a, 0xade4e508, 0x2219567e, 0x82360572,
+    0xe98d9528, 0x854c05ad, 0xbf598882, 0xa6e8fa50, 0x80158ec5, 0x078c42ca, 0x53dfdbe0, 0xb892e741,
+    0xb94aed83, 0x70d017c8, 0xdd6434e9, 0xc34325b2, 0xb29ddee0, 0xe824bd67, 0xef2abd9b, 0x4b64e567,
+    0xc9b13acc, 0x278dc857, 0xb899b855, 0x16fd5b9c, 0x0a888e1e, 0x50f6dff4, 0xbac2fdce, 0x0f5cf256,
+    0x555118a0, 0x7e729480, 0x40397215, 0x50f1ecae, 0x50691e30, 0x4a3ea180, 0x841a0e73, 0x1a30b355,
+    0x39459eec, 0x0aebbf7b, 0xd244fa60, 0x69e78fce, 0xf09cd1a2, 0x53912786, 0x4cf0dc82, 0xcb2d3a0f,
+    0xe0c54048, 0xd3ab5d6b, 0x4b818d5f, 0x153effdb, 0xd10f1694, 0x06a70539, 0x72900d38, 0xc788d590,
+    0xcbcd66eb, 0xe1605996, 0x253bd2ba, 0x869c6e98, 0x3a961e3d, 0x54e8a07e, 0x734eb310, 0xf9ac84f0,
+    0x74637e3c, 0xb0001a7b, 0x9e31c61f, 0x9f7740d0, 0x1267f99e, 0x5d315e25, 0x1dc9783a, 0x0642069e,
+    0xa16027b5, 0xacfa0cf0, 0x866b4371, 0x04bf8a98, 0xd361acfb, 0x50825037, 0xd53fd310, 0xba4898e7,
+    0x3d6e5ab7, 0x27b6bb64, 0x44708397, 0x033568c6, 0x2a04644e, 0x80d9140e, 0x7aaeaeeb, 0x1bb65ba7,
+    0xb2dbc389, 0x6ae9854c, 0x31e786b5, 0x1b6ba7e2, 0xe0e1d8ef, 0xf563fe56, 0xb7a94124, 0x7fdbca19,
+    0x4250a7a0, 0xdb20a77f, 0x919f04f2, 0x2e0d100e, 0x11741e2f, 0x8526b8e5, 0x7188d928, 0xb87d380e,
+    0xce5f36c0, 0x9bf0663a, 0x1d51fec8, 0xc39fb784, 0xfa11daba, 0xfebf36b9, 0x3846284a, 0xc176fac6,
+    0x682a990a, 0xbbd15a16, 0x6c297a74, 0x13019489, 0x5078e454, 0x2a6b7a8e, 0xe791bf20, 0xe4db4765,
+    0xfd2a149e, 0xa3ba6d6f, 0x9fb26adb, 0xd5cd4deb, 0x232d1c2f, 0x0ef9f928, 0x308798fe, 0x0c12b542,
+    0x21c91bf6, 0x794448fa, 0x7083a4c4, 0x3b814062, 0x813b333d, 0xe265f2f5, 0xb9a33240, 0x8db28e1f,
+    0x9a81c155, 0x07e2e456, 0x27901ce5, 0x9a14e148, 0x146d8026, 0xf57dd906, 0xc80548d9, 0x544d161e,
+    0x0d093e5a, 0x88d4c71e, 0x312959b7, 0xef8034c7, 0xce9f5798, 0x12d093c8, 0x257de7fa, 0x3988e918,
+    0x59177761, 0xdf31c146, 0xdecbb2a6, 0xc81b5fbe, 0x4e03f90e, 0x8d7d13a3, 0xb5b8da15, 0xf51bec6a,
+    0x96a9ed06, 0x01e9976c, 0x88750281, 0xd5d51045, 0xbc510baa, 0x7f247265, 0x6c5b9bc8, 0xf13bf125,
+    0x4e8f5f91, 0x391a31ef, 0x5d05dccf, 0x872c0188, 0xbcc6b1d4, 0xd28bca67, 0x676786ed, 0x4eaa89d6,
+    0x5e8e4312, 0x6110bf52, 0xf1873b01, 0xba6364b8, 0x2ef96f4b, 0x337331e7, 0xddbf6d33, 0xb3b0f146,
+    0xda566d46, 0xb7ec5ef3, 0x08d6f6ba, 0x69cac421, 0x41b5cf94, 0xf7af118a, 0x2a64d614, 0xf081dd3d,
+    0x32ca9538, 0xb1aaf716, 0xe29d9e33, 0x5c40e82a, 0x106b19fd, 0x55f887ef, 0x769309fa, 0x360303f1,
+    0xaaec5d25, 0xb98a6fe2, 0x53ece7a7, 0x8dfba7d7, 0x1f94a375, 0xc20bceb7, 0x3509e7a8, 0x7e7cb787,
+    0x5ed1c3d6, 0xbde41330, 0xc9a2d600, 0x2f4909e1, 0x72c9c163, 0xe0d5cfea, 0x411d9737, 0x90170b83,
+    0x785207ea, 0xc3a6745a, 0xaeab6880, 0x997f418a, 0xb72a491a, 0xa5cb9f37, 0x00448fe4, 0xcb6595b4,
+    0x52cfa2f2, 0xb863f81c, 0x9d429318, 0x15339ae3, 0xee50eb13, 0xb5f61501, 0x743e6e70, 0x94128eea,
+    0x8660833a, 0x7ee277ea, 0x1680a3dd, 0xc0a39534, 0x8da90f20, 0x61cafc88, 0xc6206e85, 0x3ba5d789,
+    0xa1ac0b77, 0x0cd22d0a, 0x408d469d, 0xd21aad9e, 0xe4a97f80, 0xb906d49a, 0x4a1a027b, 0xf660fbd0,
+    0xdd4f0ea5, 0x2e06a0f8, 0xef360275, 0x65d329c8, 0xd9f0bac2, 0x3ce2d3d7, 0x267f46cd, 0xdab72b56,
+    0xe024e029, 0x06a621f2, 0xe4119afb, 0x2c387f8a, 0x04cb9db4, 0xc8a561e1, 0xe2effa4b, 0x256fed77,
+    0x74b965ca, 0x3f1fc6c7, 0x26dc4fbc, 0xd9d312f8, 0x2bc473e2, 0x491a2ab3, 0x24b3ccb9, 0x40a5dae2,
+    0x9781f2ed, 0x8162dda6, 0xff8dbe1e, 0x99c6cffd, 0x88b7e196, 0x2416199a, 0x6e731e64, 0x8a0eeba7,
+    0x8847fbcd, 0x9d576309, 0xe19f0fbe, 0xdecfe036, 0x37803f02, 0xab281952, 0x2a4ac240, 0xed581e74,
+    0xe8344499, 0xab9c82b0, 0x8c55f411, 0x3d946027, 0xd7788262, 0x7de4349f, 0x8279a93d, 0x888454b7,
+    0xe09e7c1a, 0x8bac17ff, 0x5b87aa3e, 0x9c5d7042, 0x30582248, 0x96365dc7, 0x56ffba71, 0x662ad227,
+    0x7f15cd0f, 0x553f5a65, 0xa551ca63, 0xab239e75, 0x020b874d, 0xbbab4673, 0x2855b5fc, 0x2fef6824,
+    0x3baa32a4, 0xe606dfeb, 0x95b54577, 0x4af7cba7, 0xa55f88ed, 0x68e7cf2b, 0x5a1b8d45, 0x1c28fc8b,
+    0x6a5cb90b, 0x42b954b8, 0xcc9fd461, 0x5da60871, 0x354a6a35, 0x50b2517f, 0x24b2b960, 0x00048fc2,
+    0x048abe51, 0xdc7c81ab, 0x4ed3280c, 0x371b95b8, 0x9303c68b, 0xed795a31, 0xef103c8b, 0xd9477509,
+    0x04012a86, 0xee847dbd, 0x662cd0c4, 0x4ad696e7, 0x0c136f75, 0xa9a0f596, 0x42d38651, 0x71ca1095,
+    0x140e3536, 0x9b27e666, 0x56ff2ac2, 0x257764cf, 0x920a57a0, 0x4f2144c2, 0x201f4de0, 0xcec63496,
+    0xf37a75a9, 0x2ae8aea9, 0xfc32270f, 0x2870dc63, 0x080df9f0, 0x65cf5140, 0x2cb1ab7b, 0xf90c7bd0,
+    0x7fc6446a, 0x3db9cf14, 0x37dcf2c9, 0xc1624137, 0xa3d858f7, 0xdf0eaac2, 0x72a03c68, 0xef419fe4,
+    0x2659f39b, 0xed1682a6, 0x4462b70e, 0xc91eaf10, 0x09bab436, 0x70836557, 0x1ac3ecf8, 0x949b8bfc,
+    0x6023e3df, 0xd2d17cd0, 0x16939394, 0x45ebd589, 0xf72093db, 0xe27e0892, 0x3f3734d4, 0x5b7643bc,
+    0x6f45c4bf, 0x4fd9c8de, 0xeda14608, 0x6a1e5766, 0x7b833c98, 0x638d5f73, 0x0e260251, 0x82fcbee9,
+    0xfaa1df33, 0x7b84e342, 0x68e89d70, 0xee40436a, 0xb15f4058, 0xeb86beb7, 0xf6d8a7b1, 0xf9c1e19b,
+    0x28a5155d, 0x6e8bc6bc, 0xd696c29c, 0x01808e0f, 0xdda9b7dc, 0x97b7f2d1, 0x98d782b8, 0x36561aed,
+    0x54d489a1, 0xf6b6a479, 0xeb55ac1b, 0x69b76cb4, 0xde036601, 0x73499e45, 0xb0d76539, 0xc975bb59,
+    0x68bb930b, 0x75ee3297, 0xe1bea4e7, 0xbab37e14, 0x2a57350a, 0xd8221e42, 0x099cc903, 0xb00d6e33,
+    0xab6cc52b, 0x6db02c01, 0xbcf7affe, 0xfdd9e8f8, 0x2512d09c, 0x3a142a98, 0xdf1d9bb4, 0xdd08b22b,
+    0x5c55fefa, 0x89a17c07, 0x02e2c201, 0xc22e490e, 0x0b25c7a1, 0x1c96113d, 0xfc613876, 0xa9b7358c,
+    0xf17b32c1, 0x508fc1ba, 0x59e6bdf8, 0xdf40bfe1, 0xeebe86ea, 0x52f12cb7, 0xd64d241e, 0x0bd127d7,
+    0xe2d83c84, 0xe083d349, 0xe83e00bb, 0x695f9019, 0x3ea460b5, 0xe807bd65, 0x7de138f7, 0x31456f0c,
+    0xfb759a48, 0xbd91eab5, 0x61b99e74, 0xf07b3e8d, 0x4bb0dc57, 0x1b3623ef, 0x6981175d, 0x7bf2639e,
+    0xa0f3ba20, 0x8a1efefd, 0xcdc5ed4e, 0x40022b59, 0x078a9a82, 0x5582fd5f, 0xeb6702fc, 0xf8369c2a,
+    0xc34202bc, 0xb3369417, 0xad353d12, 0xce1f9a83, 0xa2e83377, 0x121d1d02, 0x031e2ced, 0x7df2f4c7,
+    0x40887b91, 0x596f5efb, 0xb005933c, 0xfd71a0cd, 0xb13cce79, 0xf0c20ddb, 0xa4ea353a, 0x9a123153,
+    0x5bc0f1a5, 0x590022fc, 0x4d597ca1, 0xac36b373, 0xdde2c7cb, 0x7b12987f, 0x26b1e706, 0x1c5c7328,
+    0xa71f5cd5, 0x3dfe1394, 0x8c31b65e, 0x62883386, 0x0ad0c3de, 0x1301dee9, 0x354748f8, 0xfc7edccd,
+    0x4b0c29bc, 0x85f63810, 0xf2111be5, 0x89775b59, 0xe6ee0488, 0x7da0ecce, 0xf966b91a, 0x1350215f,
+    0x3e491cc2, 0x39d80954, 0xd1c4cf5f, 0x1e5c2713, 0x89782b9d, 0x647552cc, 0x91e11b7d, 0x5ad1df7a,
+    0xa0ca6aa2, 0x90fac5cd, 0x0e798809, 0xc166f24f, 0xf81134c9, 0x67e5bb84, 0x588803ea, 0x9f52bd7c,
+    0x75bb0bc1, 0x75bfcfcd, 0xd9a368bc, 0x8efbe72a, 0x56e3334e, 0x675b787b, 0x3ad9f4e0, 0xd45f4533,
+    0x70233f96, 0xd0018b91, 0xbd2f5647, 0x88609e8d, 0x39f66bbe, 0x3d19f9c5, 0xf015f414, 0x407b89f6,
+    0xb07e90ad, 0x99fd9d88, 0x5673af53, 0x39bc261b, 0x908c5d15, 0xe30b6578, 0x2fe9f6fa, 0xb21c0eb8,
+    0xddc338cd, 0x3dbe175e, 0x554c56e2, 0xd3000fff, 0x20803a28, 0xbb3ba83c, 0xa85ed49e, 0xcd961809,
+    0xb12e8fe5, 0xab1e5df9, 0x3f332189, 0x28fe7255, 0x9f676722, 0x7a71f9bc, 0xa24291d3, 0x27df65a6,
+    0x9282df09, 0xd7f4e17e, 0x47184139, 0x697dbf4c, 0xa427e215, 0x7117463a, 0x1a6e1794, 0x69651f3d,
+    0x58483bda, 0x14c06eaf, 0x81990750, 0xf6656d16, 0x3e0cf32f, 0x6e16238e, 0x065b02c4, 0x2fa0354d,
+    0xcbf91f75, 0x4011c0e6, 0xf1203f14, 0xde0a8e72, 0xcee50b44, 0xfe38a9e3, 0x624a905f, 0xf8569aa6,
+    0x1472faf9, 0x4befd794, 0x856b5b94, 0x7fab1b35, 0x0a793f76, 0x140e57e4, 0x865a25a8, 0x9da9e214,
+    0xecea5ff4, 0xc63c9b22, 0xfcca47f6, 0x46f5adf9, 0x6ff78d21, 0xfcc0d72e, 0x77efd5ae, 0x5cf1e098,
+    0x9ece4ac6, 0xdee6d2ea, 0x4111a1aa, 0x52ceec88, 0x7d25d028, 0xe506346e, 0x2ddbe164, 0x6c9efc22,
+    0xac6ad4ac, 0x0729ed76, 0x1668c4a8, 0x67dd8f60, 0xa6c819ca, 0x5fdc52d2, 0xdd98543b, 0x2cf24372,
+    0x0658fbf3, 0x39263421, 0x3a9e1ae7, 0x454adcba, 0x1abf0098, 0x84168160, 0xf22580b8, 0x300a8bf3,
+    0x4c852032, 0xbda06c06, 0xf13e37ab, 0x81081097, 0xd2476d88, 0x64571f87, 0x74ed9485, 0xbaea524d,
+    0x61247b5f, 0x4b9b0a6b, 0x3bc28482, 0x476466fa, 0x88715dd0, 0xd6c3bbb8, 0xb007902e, 0xeba92259,
+    0x38a1c4e6, 0x7959e14a, 0x90797370, 0x476839d9, 0x8e632ed1, 0xbfad9f38, 0xa5281daf, 0x2c27dfdc,
+    0x4c7fba79, 0x6c01c29f, 0x142e39b9, 0x43c5e5c1, 0x543518be, 0xe5e905c3, 0x5d3c93ae, 0xf8378292,
+    0xdfa4633b, 0x3624e283, 0x8249e496, 0x279f7274, 0x8b40166d, 0xe6b783aa, 0x413a63ac, 0x78cc60bc,
+    0xb6f42253, 0xea04b83c, 0xf1065d64, 0xf39af28c, 0xb558b252, 0xb17f3398, 0xfad0f8c4, 0x2edf2dce,
+    0xdbcf832a, 0x3d33049e, 0x7cd92bc3, 0x633103e4, 0xb0d59349, 0xafddd231, 0x2b2f8b33, 0x636ae115,
+    0x613efad8, 0xadd154e7, 0x2e78340f, 0x3730057f, 0x97da0851, 0x7a33fd97, 0xedbff643, 0xf225f112,
+    0xc7bfa4ae, 0xd89cb885, 0x44d33b0f, 0x33780c16, 0x173de0a6, 0x8e3d83f8, 0xae73689f, 0x92d7b5e5,
+    0x0e7b77f8, 0xdd3b8034, 0x941b70ca, 0x2aa79378, 0x99047538, 0x961a8967, 0x3a33e8b9, 0x9f9d8fcb,
+    0x7e1a0bdc, 0xb18576d0, 0xa41ddc0a, 0x57b7dbfc, 0x9a8bb441, 0x3dee64b0, 0x425d2f2e, 0xf21cfde9,
+    0x78ecee3a, 0x07e454ff, 0x97e6a463, 0x4db4675c, 0xd7b04793, 0xc610c9d7, 0xe5d9a9f7, 0xe1fc4cb7,
+    0x5c652cc2, 0x8b992f76, 0x2cc685f4, 0x0e6778b9, 0x1c99a79f, 0xb24a172e, 0xd8d7ae4d, 0x2da1ae29,
+    0xb44efcf9, 0xe19f130d, 0x984becba, 0xf8ed6e8c, 0x1840f559, 0x930048ea, 0xcf5efe79, 0x47925c7e,
+    0x796c39de, 0x46f24971, 0xbdb45b9e, 0x48118c04, 0x61aca145, 0x3598ec02, 0xaf1af03a, 0xee77fa96,
+    0x79e0f480, 0x16058908, 0x7d6d7749, 0x2ced8c02, 0x7ac90add, 0xbc5f7fd8, 0xb08da860, 0x9a57c17f,
+    0x05668d3e, 0xf22c3f47, 0xd364461a, 0xb1e18621, 0x91e1cf28, 0x98342657, 0x16d51215, 0x04e663ac,
+    0x972f6f2b, 0x5e2d7403, 0x44e091ba, 0x20305d02, 0xa1c3cffc, 0x2de38123, 0xd2ce9fde, 0xa6dd04c8,
+    0x00000000,
+    0xffffcad8, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000004096 */
+  { 0x00000000,
+    0x1f7f99d8, 0x92df7796, 0xa8e2921d, 0xca4b2ca7, 0x75236c8d, 0x787dd079, 0x648f08da, 0x081b22d2,
+    0x86818ddd, 0x3343477c, 0xa3589de2, 0xd29489b7, 0xd3e8d271, 0x17b8f81e, 0xc3b6b081, 0xc18e6eac,
+    0x771f3cc3, 0x767c9235, 0x61425a81, 0xf961eb85, 0xfccbda47, 0x3788d4a3, 0x53baa2a1, 0x9d45312a,
+    0x2e9e700b, 0x07fa008f, 0x3673592c, 0xa4c8fe3d, 0xee72931c, 0xe9a692e3, 0x1873651d, 0xd13bf0e6,
+    0x06e20ce4, 0xea9e6f6e, 0x0548d549, 0xf1cb957c, 0xfbcda227, 0xf6f8eadd, 0xc7b3417d, 0xb560f1c6,
+    0x3ee86d20, 0xb6d1ba52, 0x247f1670, 0x5269af18, 0x4c75dad3, 0x5a368576, 0x3e51c3dc, 0xe363a1cc,
+    0x4cf28a29, 0x2867471e, 0x2ddcfca4, 0x074e3e0a, 0x6d7d1380, 0xa4644b7d, 0xecd1261a, 0xd2441d12,
+    0x20fece58, 0x76db4bd9, 0x29e91da3, 0x8ddbc02b, 0x25b55d8a, 0xc172610e, 0xfedc8fb7, 0xb95f8564,
+    0x4d22df85, 0x530c28dc, 0x03702631, 0x06a059fc, 0x1a3bb785, 0xce95fe9c, 0x2f9d3683, 0x5ca5264a,
+    0x0e7795c8, 0x8bbd3c3d, 0x8252668e, 0x2335c716, 0x65f27070, 0xed6ff6a9, 0x9b027348, 0x4a82dec9,
+    0x654182cd, 0x18057cad, 0x24dc823e, 0xb6f03023, 0x76c91fdd, 0x1b91fb90, 0x48ea6928, 0xd3920136,
+    0x32f99170, 0x5951b59b, 0x3772b6d1, 0x0883e989, 0x2ef5e1d3, 0x079e244b, 0xbfdf64a0, 0x3499e483,
+    0x129b049e, 0x3efab311, 0xdee98fcf, 0x4d6e0c19, 0xefbec976, 0x5cd41e43, 0x8b979f55, 0x4461bd84,
+    0xfc4c2cdb, 0x1e16962f, 0x84194a2b, 0x67f9a11e, 0x57537760, 0x3c8b66ab, 0xa5de911e, 0xfccfd8ac,
+    0x6c24954e, 0xd59957df, 0x4972ca28, 0xb9067d33, 0x82a1108c, 0x233e3894, 0x84d40d9f, 0xb99abad3,
+    0x3b4fe4ae, 0x2705a6d9, 0xefbdd696, 0x0a456ebc, 0xcbbbb7ba, 0x21f8ac32, 0xe97b5c97, 0xb536fc9f,
+    0x08e1e5d4, 0xcda0cfe3, 0xe77265cc, 0x54afe769, 0xa65a0038, 0x96730d91, 0xbb5ef614, 0xfb8993ca,
+    0xa0600217, 0x74c9b108, 0x3b526dc2, 0xb940e8ea, 0x7c1cc39d, 0x1f871ea6, 0xadb8e619, 0x999aaed8,
+    0xb3f95d62, 0x3c5fd2bc, 0x9a47c144, 0xf9e05983, 0x3c7d36b9, 0x7b98aab3, 0x0cdd14fb, 0x10594ebe,
+    0x38ac3930, 0xd184638e, 0xcdcb4200, 0x950c8830, 0x40cec459, 0x6a54fa3f, 0x9080be78, 0xb5560ce8,
+    0xe02c51c3, 0x4b2c0a2f, 0x6d54bb97, 0x9b603551, 0x90cb34bf, 0xd240b95f, 0xaab4b3c9, 0xdc757dc2,
+    0x26b10d01, 0xd9320caf, 0xc3ba7b51, 0x5b11feb0, 0xf7bbf89d, 0x820cbeea, 0xa9928939, 0xa41ef065,
+    0x90c0c0a9, 0x34dcb983, 0x6aeeeba5, 0xa6daa067, 0x96529159, 0x62be73d7, 0xab8afdd3, 0xda46e038,
+    0xde19dd5f, 0xbe388086, 0x7e82b9a0, 0x1c4ba85e, 0x3129400f, 0x7dcf0269, 0x26fa1f0c, 0x6c47284f,
+    0xcc5bbb94, 0x61dd857f, 0x2c296f6c, 0x59c6a313, 0x86b56076, 0xe2b23cc8, 0x59086e62, 0xfa3d753c,
+    0xaffc4ca2, 0x6a870d4e, 0x5a401915, 0x54c955f6, 0x985ededa, 0x4c519eea, 0xabca94c0, 0x0ab43297,
+    0x64e304ec, 0x37adacf5, 0xf177eebf, 0xf4e9a5ae, 0x90ef4d09, 0xf2c8c4c8, 0xa9add2e5, 0x2cac4226,
+    0xc2fa33e1, 0x5aa237bf, 0x867bc8d5, 0xde20f08d, 0x78755191, 0xed167576, 0x83eadfc2, 0x6e6246ee,
+    0x77e4dc7b, 0xe5562ae4, 0xd06696b4, 0x1b32c837, 0xbc2d22c8, 0x5fff8a85, 0x91590ad3, 0x831b1a9b,
+    0x7114f1c1, 0x574f096f, 0xec531b00, 0xe41c31c3, 0xdb56d144, 0x4a6c2c0a, 0x6d3a02c9, 0x4332a8a1,
+    0x3ece6a44, 0x5fba468d, 0xb358cd4a, 0x8c18e03c, 0x53bf4d0c, 0x2d6cc260, 0x7bd522c5, 0x5d6543dd,
+    0x6d8e89c8, 0x67215f08, 0x4f7cbfdd, 0x73e997ac, 0x3c8e4860, 0x46bf8a00, 0x176f3f13, 0x0a8580eb,
+    0x33d0f9e1, 0x42b6edde, 0x6516ade3, 0xd22024e6, 0x828ea171, 0xf459d8d9, 0x78d8ffa3, 0x15aa8bb8,
+    0x4c0264c3, 0x249f0d90, 0x73b22a21, 0xd323fbcd, 0x60ab0e63, 0x01e936aa, 0x700a8aef, 0x810a7bca,
+    0x562afac1, 0xd6467d2d, 0xe6c0b67b, 0xa1052795, 0xb41c3eba, 0xe730bef5, 0x06cf21e1, 0x500c2967,
+    0xd1e20012, 0xd531fea6, 0x9c3a68ac, 0x5e9ab0f5, 0x119d2640, 0xdc072b65, 0x17f892bb, 0xd6046b9f,
+    0x160d780c, 0xa8a62981, 0x755ec0f6, 0xa07f3083, 0x5e2a536f, 0x6c06edc1, 0x19fdd927, 0x7c1b8559,
+    0x4da9c7a3, 0xf21fe974, 0xddc27f0d, 0x7bf29bdb, 0x3876e274, 0x57e2278c, 0x9b264055, 0x826820d0,
+    0xbedc4cd9, 0xbc33abb4, 0xb9233610, 0x08753f19, 0x01ccb953, 0xc485ae9f, 0xda481171, 0xda2ce3d8,
+    0x93f26c49, 0x188ad44f, 0x587d7687, 0x6a47c295, 0xd5d661d8, 0x866fc05e, 0x71b4edfa, 0x491fa12d,
+    0x1a870ffa, 0x806ba8b6, 0x99075335, 0x97eb41d1, 0x5726f609, 0x9a3b87c4, 0xcf5b57e7, 0x089960e0,
+    0xac1e6a9f, 0x74809f6a, 0xff942bae, 0xeef5b18a, 0x0285b32d, 0xf0ea4592, 0x0c781663, 0xe96cb87d,
+    0xc798bbab, 0x1deff80c, 0x0c31e170, 0xad5a3d7e, 0x61dff2c3, 0xa1e28fb0, 0x1dc9da30, 0x41410b46,
+    0x5891d3ba, 0xea704568, 0xd1bdbb0a, 0x6581165d, 0x4aebd34a, 0xc7b28be4, 0xd5e452f0, 0xed00cdec,
+    0xb1844f38, 0x7db90981, 0x2e8a8387, 0xd21f2190, 0x5561f545, 0xb8b4fd2f, 0x50759c01, 0x77d8fa39,
+    0x4f68761c, 0xf15ee0ad, 0x0cc51b42, 0xeb05de6d, 0xbcd5d8b3, 0xb2e988fb, 0xc63e33ec, 0x14f0f961,
+    0x9ad37b96, 0xc28e507d, 0x8bb177f9, 0xf6fb26aa, 0x0c8d88b2, 0x4275a1df, 0x87e8d053, 0x2b1043b6,
+    0x44b34b3f, 0xe137135b, 0xd6f51d83, 0xd341ef35, 0xdefe4f27, 0x362396f7, 0xc908348e, 0x6880e437,
+    0x04459407, 0x45346348, 0x29b19369, 0x2433e717, 0x56723478, 0xc0552df2, 0x199faf5c, 0x8b80d269,
+    0x78124f52, 0xaddda0f8, 0x24c6434f, 0x1c96eaf1, 0xa41eb793, 0x104c78fe, 0xb9eb1c22, 0x1865163c,
+    0x4a766fcf, 0x1da9f1a2, 0x1a248ac3, 0x2c3af6d6, 0xea1be285, 0xab420d1b, 0xd581f964, 0x3652cf62,
+    0x930663cd, 0x2e298137, 0xeaa6f8e8, 0xc6d6214e, 0xc1ae2c83, 0x1378b2c8, 0x63fd36db, 0xa6407194,
+    0xb55677eb, 0x1827028c, 0x37529553, 0x73eb4f03, 0x92f9d08a, 0x8a1ef5ef, 0xfd09088b, 0xcd047958,
+    0x42209b1c, 0x0b772eff, 0xf718b455, 0x0cf68410, 0xff698cde, 0x318795a9, 0x739ec28b, 0x6ee07262,
+    0x24d6dfd8, 0xac57dd63, 0xff12572c, 0x400b45d4, 0x4d32b3f0, 0x14ab2195, 0x946698e2, 0x238d6269,
+    0x20d256d5, 0x335fb437, 0x33ee4c98, 0x9b134985, 0xf11d9036, 0x1b4c9241, 0xeb4bacde, 0x2c36354f,
+    0x06b00e94, 0xf7024249, 0xc2cc4cb0, 0xdc810aba, 0xcb778a82, 0xf1bacc4b, 0x5bbd281d, 0x2e10142f,
+    0xd65d8e52, 0x7dd7379d, 0x33607ed9, 0x49b06148, 0xc149b5cc, 0xbba42e1e, 0xb8afba69, 0xc824e3a2,
+    0x100bdc05, 0x138a6299, 0xf4f7cc9f, 0x63b3afb2, 0x8175770c, 0x0b6ddd69, 0x46b6d3c4, 0xb407b575,
+    0xfcbcea09, 0x30431b0c, 0xb96f3f41, 0x5e36aa0d, 0x9e0a0b09, 0xcb039f3b, 0x1c8ea4b5, 0x1d9be57b,
+    0x9ad61778, 0x4284ef43, 0x444fe477, 0x75ec0cb0, 0xc5645173, 0x64707067, 0x35d783bb, 0xf16f1622,
+    0x0d09d277, 0x6f5cc7a4, 0x58a4ec0a, 0x0bfd5bf5, 0x14957879, 0xda53c133, 0x3c90c52c, 0xd90d5151,
+    0xaf1c6af4, 0x689f0d57, 0xfbeb1e0e, 0x4c7ca3f8, 0x33638b43, 0xe635d052, 0xbfd7fbc4, 0x31cad7da,
+    0x5eeb0a12, 0x40ebe0d4, 0xdcad5a42, 0x95a2e586, 0xe8e4d344, 0xffd28e48, 0xa8f966fd, 0xd4ee1af0,
+    0x7e97a8a8, 0x10218575, 0xbf8f8240, 0xa1e4190b, 0xb43cfb9d, 0x5ede36c8, 0x3cb7c4a3, 0x3f36d735,
+    0xd3378cb0, 0xcb37c026, 0xb598d92a, 0x38c74048, 0x1d665927, 0x7e133d39, 0xb997f89c, 0x37b26eeb,
+    0x741f1fe8, 0xc41eab94, 0x7b4db00b, 0x78f35c25, 0xc1cf3934, 0x9935b759, 0x32c16144, 0x9b21471c,
+    0x640ed639, 0x3d22c941, 0xe661e343, 0x8ed3013e, 0x9b2128b0, 0xb0d2bd61, 0x6a607c37, 0xc5d521c0,
+    0x06d5e469, 0x41169a69, 0x92694945, 0x9c9b0231, 0x6de52a70, 0x671768df, 0xa91f7cfd, 0x332f0ccc,
+    0x34845d4a, 0xd76acd59, 0x1276cec1, 0x7e350bf0, 0x8d959019, 0xa2c5374e, 0x6c8532e1, 0xde4782fb,
+    0xa7beb9a6, 0xd4449416, 0x9113b88b, 0xd7f001a2, 0xb8a51257, 0x9c75101e, 0xfbd971bd, 0x9761d06b,
+    0xc5915b4c, 0x488b1dcc, 0x9bfea5e0, 0x344fc8df, 0x24fbe085, 0x74dc95df, 0x076ad3fc, 0xcf22a0e1,
+    0x641d9477, 0x47743efa, 0x8798d432, 0x2a87bc3d, 0x87ef904e, 0x4e2bddf0, 0xd1298aa4, 0x9a2d2921,
+    0x34d6fadf, 0xc6ae0b12, 0x640dae24, 0x22d33e12, 0x078edfb0, 0x3f48ed55, 0xc7e12f21, 0x4a11c06f,
+    0x4985f327, 0x1de8b029, 0x798195d1, 0xde9b9787, 0x954d1e22, 0x61f1d932, 0xdb51a216, 0x99fcce8b,
+    0x4730710c, 0x9fe01403, 0x16d165ca, 0x475c9881, 0x404ee4ed, 0x3c03d840, 0x1d841794, 0x5c3ccb70,
+    0xdb9684b4, 0x9aca32e7, 0x38f7234b, 0x0456748b, 0x2f1b082f, 0xc0317c2f, 0xecd8f17e, 0x06b00f7e,
+    0x4a12a227, 0x1df23261, 0xbcab5545, 0xb38688eb, 0xa2089596, 0x18823286, 0xe2475f5c, 0x8be20de0,
+    0xbe8131ec, 0xdb9f83be, 0x3dc8cfc3, 0x8db7857a, 0x0f85b2fe, 0xd918224f, 0x5d195ff9, 0xc3991615,
+    0x0fdc42eb, 0xd3e9bcaf, 0x00d78bba, 0xd28dde05, 0x93274b71, 0xb62bbafa, 0x2eb82462, 0xebead775,
+    0xac9e5c96, 0x4b3984a4, 0xb1f331c1, 0xe3a5e4bb, 0xe76fb20c, 0x80f02889, 0x082378ed, 0xcf8833b7,
+    0xcd010418, 0x99656c7b, 0x1ae79a5c, 0x61b3e2bd, 0xc681457b, 0x814d4e49, 0xd4ba8c1b, 0xdfd4877e,
+    0x58dd9e9e, 0xb7b2bb97, 0x2b06908e, 0x57b924cc, 0x17498147, 0x00ebdfa1, 0x8c1e203f, 0xdbc5fa34,
+    0x0d2852df, 0x2fba3f44, 0x23ec4efb, 0x1422edeb, 0xac8554c5, 0xc48205fc, 0xed5fa7b5, 0x97e62712,
+    0xed385d12, 0xafce2eb3, 0xf07d4f3a, 0xeb56af93, 0x1b166f2f, 0x0db77d9c, 0x8fad31ae, 0xbed16e1b,
+    0x7f805ca3, 0xfb558eaf, 0x8e2816b1, 0xcaa6bf36, 0x2d425434, 0xda7254bc, 0x22598c70, 0x2af9fa78,
+    0xbb810f11, 0x9578b7ca, 0xd3c94820, 0x638962d4, 0xa8086a13, 0xfe86453d, 0xc06a7964, 0x5db712fe,
+    0x8717c446, 0x16f90b9e, 0x546b6063, 0xd26e3a13, 0x214457aa, 0x887c842f, 0x2cc9169e, 0xb9bb2f50,
+    0x1d37a02b, 0x3f48ed4b, 0xd99fa4e3, 0x465079dd, 0xe8f8c6b2, 0x818ec592, 0xb2c4cdb8, 0x85c99f9b,
+    0x953a765f, 0x994e3d3a, 0x211fe7e1, 0xc52820e6, 0x22bfe3bb, 0x6858c4d8, 0x73c6a010, 0x8089e279,
+    0x76595852, 0x9c1bc504, 0x9407b423, 0xb7e69d2f, 0x658959fc, 0xdc2424af, 0x6f8bbad9, 0x5df5c113,
+    0xf2f906af, 0xcf0817d2, 0x2c06d4de, 0x258e0edb, 0x1fc49a1e, 0x080b67a1, 0x291ebba2, 0x16f7117a,
+    0x6cb1f5bf, 0x4113ef84, 0xc6db81fd, 0xbfe5d398, 0x9a09c4ff, 0xf37d4e08, 0x89458aac, 0xc6e6a0a2,
+    0xe9295899, 0x2584ba42, 0xf42d5c22, 0x6cbcd840, 0xf2f10edb, 0x4ce84465, 0x64348d78, 0xfb48c1cc,
+    0x10cb003b, 0xd4b8202e, 0x488540c3, 0x156b8b14, 0x95c7ef21, 0x50e600eb, 0xe13c29dd, 0x1f9a6cb2,
+    0x1d6f9f76, 0xbcf551ea, 0x2189f2f2, 0xbf44a5f5, 0x9b1fc6b8, 0xc694b480, 0xc2041d07, 0xd4787cea,
+    0x2641d044, 0x25d774a7, 0xbc6b7a3e, 0xcf1e2404, 0x252f85b2, 0x65f1eeb3, 0x29ff0d2a, 0xa0d617bc,
+    0x94915b8f, 0xf6ae984d, 0x13ae4519, 0xf166a532, 0xb7aca827, 0x5df2c531, 0x80a77517, 0x1d520ff7,
+    0x0e7535fe, 0xa37f4d90, 0xef2ab447, 0xa26886f9, 0x2283dd08, 0x43152492, 0x3c981606, 0x1ce54de9,
+    0x3cb57a01, 0xbb67c797, 0xc1a6d35f, 0x84d51795, 0xf62c8d7f, 0x5917848d, 0x379fe66f, 0x1c4f4742,
+    0x42c934e7, 0xdc1695f6, 0xab60af98, 0x005b3e22, 0xd5f2e70a, 0xa3c3ae40, 0x33f351cf, 0x91c9a7f8,
+    0xe77482ee, 0x77cd6ca2, 0x87b4206e, 0xb4f25683, 0x7ddc9c78, 0x16d81e97, 0xe68e036a, 0xf6ab7a97,
+    0x3619256d, 0x16b0761d, 0x2a3b3c88, 0xa475294a, 0x673473a6, 0x624655b7, 0xe3f6d13b, 0x2eb713c7,
+    0x5057cecf, 0x94c17295, 0xa7cb58e8, 0x42cde34b, 0x0f612b48, 0xd8785f7c, 0x1db19275, 0xae4a7b14,
+    0x914075d6, 0x5755e186, 0x76adf291, 0xbb09817b, 0x6e8cf9be, 0x2c91585d, 0xf32605e8, 0x99562a52,
+    0x6897e85c, 0xd9a6b9e4, 0xdd4abfa2, 0xd54cbb9f, 0xdb405915, 0xb54ccb9f, 0xdd39e95e, 0xac9abf80,
+    0xfd684796, 0xa1775105, 0x63ad0d83, 0xac218c69, 0x44fbfce9, 0xd88d25f8, 0xbc834bb4, 0xe6408307,
+    0x23232bbb, 0x676fa053, 0x2ee339b0, 0x7e3f208d, 0x3ffbc4d6, 0xcd3ef182, 0xd4148343, 0x536e28ba,
+    0x0e740211, 0xcd60c47a, 0x794bf22b, 0x531f6913, 0x83b330f9, 0xde896f3c, 0xd78ac712, 0x34f5290e,
+    0xdc4a781a, 0x5ef909e0, 0x32bfb740, 0xe7cfe5d7, 0x2d7beaee, 0x8034d506, 0x518343d3, 0x3a0a423e,
+    0x02bccfcb, 0xb3b51d61, 0xe6e5e1b4, 0x7d07a7aa, 0x0007df6a, 0xa5379eed, 0x5e566b1b, 0x38c1ee62,
+    0x26624a22, 0xafaa04b2, 0x7c9e3783, 0x00726298, 0x09434d9a, 0x8428a35b, 0x5e1de8be, 0x7eec95fa,
+    0x0d0a3ef6, 0xe8d5e61b, 0xe9e4100a, 0x1ec8a0d9, 0x8a6d51f0, 0x084ed1f9, 0xadc57144, 0xf45d8ea8,
+    0x2b7a26d3, 0x1b24ca05, 0x10470d6b, 0x129c0d70, 0x438e40f6, 0xf35d05b8, 0xef34e18d, 0x7fe1064e,
+    0xb6a0bf1f, 0x3aaa3a56, 0xcbe2f046, 0x4ddb7606, 0x59b7d2e5, 0x23052a85, 0x97273d71, 0xfbe16a8e,
+    0xf69b7659, 0x3a31a6c9, 0x76b2b2b7, 0x088becf3, 0x47b0b72f, 0x39cdcdfd, 0x0150935b, 0xbf417e46,
+    0x058ce613, 0x2c33fa13, 0xa4137e73, 0x8a27569e, 0x782fda5d, 0xd6f9b79c, 0x43cb9f0c, 0x7a785c67,
+    0xf92f59e7, 0x49b017f0, 0x2a21f4e6, 0x951e0643, 0x7ad93754, 0x902c5316, 0xbd4e4af2, 0xdfe8a3f8,
+    0x3fbcabe1, 0xf432070c, 0x5f62f66d, 0xeab18e06, 0xab5c8e63, 0xb22f6168, 0xacb74c7c, 0x1f217a3c,
+    0x38172523, 0x6f663746, 0x87b560e9, 0x30522b56, 0xa92ac9d2, 0xfce41cae, 0x36c9f8b3, 0x63ffd851,
+    0x41a7fde1, 0x4e1bc578, 0x63e865e7, 0x246536da, 0x0481312a, 0xaf104e69, 0x64f01b52, 0xac77c0d2,
+    0x952c08fe, 0xa592645e, 0xf808fa3f, 0x1443eb1a, 0x9c549dac, 0xec9272fb, 0x358f0309, 0x0b4c5bdc,
+    0x53349a3a, 0x5684e591, 0x405ce8cd, 0x80adc832, 0xaf70d2c8, 0xf91e7d98, 0x794e6932, 0x50f16414,
+    0x1b5f928a, 0x8ee6a01d, 0x57e4aca5, 0xa00847a8, 0x69a75d44, 0x3b2d324c, 0xfd98d935, 0xf05788d4,
+    0x77ecce4d, 0x9c8c0d90, 0xecf72da5, 0x2cba0316, 0x05b57dc3, 0x0583c8fe, 0xbb0d6f2c, 0xddddc0df,
+    0x46c74249, 0x71aad590, 0xbc774bd9, 0x8263ca5c, 0xf2ead2cb, 0x492512d4, 0x34362de4, 0xceae534f,
+    0x00000000,
+    0xffffe56b, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000002048 */
+  { 0x00000000,
+    0x64f5b3cf, 0xa21a33ed, 0xadd57f11, 0xc09eac32, 0xa78f01d2, 0xa1043879, 0x19288d50, 0x5bc627b1,
+    0x5ecfeea7, 0xb7c1254d, 0x978121a9, 0x79fc55b9, 0x046796c3, 0x7eeac7f2, 0xe91e0bea, 0xf563f56c,
+    0x011ef1ab, 0x7a4e7f6e, 0x50363a9a, 0xa2038651, 0x86370812, 0x709e17fb, 0x916fc69e, 0x47d4e7fa,
+    0x121cbf71, 0xe3da1e06, 0x697c1b18, 0x4d4cd93d, 0xcabc6437, 0x57315ae0, 0x3e0c51ad, 0xef3bca75,
+    0x116b0b28, 0xaa5e6e30, 0xdfd299f1, 0x6364f349, 0x38b649ff, 0xa87cfdad, 0xcd61615d, 0x19068b7a,
+    0xfa1cb6f6, 0xc1601cd0, 0x4c933301, 0xbc72004d, 0xe94e073c, 0x9230ca7d, 0x47ca6e5e, 0x2a43c9a1,
+    0x9d90fc11, 0xdd6fef12, 0xac87c627, 0x57f96c56, 0x42019c3c, 0x87c37758, 0x839c6883, 0xaf572249,
+    0x253cb952, 0x2964f193, 0xac586e57, 0xbabeb374, 0xf99b4add, 0x6afd074e, 0x8bfb8f47, 0x8b37a235,
+    0x44a3fc3a, 0x6d2d0190, 0x16baf3c3, 0x93409d53, 0x933fe700, 0x3f1d1d2a, 0x9a489c91, 0xd93fbf8f,
+    0x212e5213, 0x950e5f7a, 0xd4392c74, 0xbdc3acad, 0x48fec080, 0x4e78431d, 0x477c99ae, 0x0df7fa5e,
+    0x937d9777, 0x19f4b416, 0xd11ef16b, 0x2fc6d878, 0x380dbf3a, 0x4603d332, 0xac8d72f4, 0xf9c95b8a,
+    0x6b71a89a, 0x3d965def, 0x9104040c, 0xc631318b, 0x0d3c7037, 0xfcae11c0, 0xdb3bd34c, 0xe3239551,
+    0x3de77f02, 0xb9661ec3, 0x3cd04bbc, 0x81c5973d, 0x8c88cac8, 0xe6488088, 0x8127b4f2, 0x9964a006,
+    0x2fa3ac63, 0x936e6d8d, 0x86203a1f, 0x94525af3, 0xa51353b2, 0x9ec455f9, 0x63c2f988, 0xd7ac6a27,
+    0x4e862b0a, 0x085b8bde, 0x89d4b53c, 0x572905d6, 0xda2c0207, 0x23438e83, 0x081f7126, 0x0240f6e1,
+    0x7ea1be38, 0xf5e948da, 0xf37c1db5, 0x07cdade1, 0x07f51409, 0x69a6785a, 0xbf58f9ee, 0xa9a3241a,
+    0xa3556628, 0x405796f3, 0x34d7b570, 0x5b23c1bb, 0xcd65eb4c, 0x9f2f7fef, 0xd6065692, 0x3c40bcfc,
+    0x3593a3c2, 0x0869eee8, 0xefdc8872, 0x4d2db5bd, 0xa5b87edd, 0x3b1fa4fe, 0x7d13040f, 0xcb18f063,
+    0x50ba912a, 0x2cbf2d28, 0x99582119, 0x75db95ed, 0xc94db4a3, 0xb625c9f4, 0xfbadad43, 0xd78d7b2a,
+    0x9649735d, 0x49b55019, 0x1bb27ca8, 0x096d7b44, 0x3f1352b3, 0x547e2c04, 0x87f1aba8, 0x3c3e5363,
+    0xcc5911c1, 0x90f97354, 0x3c0a0719, 0xe5587181, 0xfc5e1fc6, 0x0537ae03, 0x7d027891, 0x8cf6de0c,
+    0x0debb69d, 0xf18e35a7, 0x7914b82c, 0x6b639398, 0x1a77e31a, 0x26d53a09, 0xde2bfe0e, 0xf8bd8280,
+    0x429e6f6c, 0x111bdeec, 0xa9d2cbe7, 0x39c60523, 0x33579492, 0x9d909766, 0xc9bd57f0, 0x848779d3,
+    0xbcc99705, 0x0501ef59, 0x23e8dbb0, 0x7d04a1f5, 0x818b3f07, 0xf72944ae, 0x962aa344, 0x199349d8,
+    0x60cadb94, 0x8d4050b7, 0x3c31dca7, 0xd12a5473, 0xbe71b99f, 0x1c7fcb99, 0x7d0349a3, 0x961b9ef5,
+    0x042f86d8, 0xc8ece6b4, 0x9d388fc9, 0x33b20ea1, 0x2c61d880, 0x7a8fc029, 0xd4d040f9, 0x8d680f03,
+    0x78ffcced, 0xb697a3dd, 0xae15b017, 0x86be3592, 0x70fd48c3, 0x3d15cf64, 0xdb3c44cc, 0xe562da53,
+    0xf02add24, 0xa3f4ac89, 0x078260ea, 0xb2697611, 0xb8eb690f, 0x5614f097, 0x8df02c33, 0x28f158fa,
+    0xbe3cc290, 0x22e8a9c6, 0xa9f8d08b, 0x6289f539, 0x91af9ecf, 0xf74ca74f, 0x912ecffb, 0xa3cd3b76,
+    0xb9149be9, 0x38fb0794, 0x3e891a34, 0x6518f798, 0x641e0f73, 0x363c9ca8, 0x866e60e6, 0x0b21e326,
+    0x88984458, 0x7510f38b, 0x3563f62d, 0x976efaa6, 0xab14295d, 0xbeeb3563, 0x457047b6, 0x8642879c,
+    0xf3d01af6, 0x3c1e0d3d, 0xad5149ea, 0x25f2eae7, 0x9fe3b8d5, 0x1b91453f, 0x11996a6b, 0x56d6b80a,
+    0xbf60969d, 0x30323251, 0x4988ca17, 0xe033a6e4, 0x8c42d6e5, 0x80709256, 0xb1355ed9, 0xc7441c22,
+    0x4e0666ac, 0x9a2b2d21, 0x579ebb30, 0x3d43d34a, 0x88a174a1, 0x1226e349, 0x6f403c3b, 0x59919d72,
+    0x5ad330d9, 0xbe65b623, 0x4016e8ef, 0x6e98e767, 0xfb6f3adb, 0xac820e0a, 0x6f98db63, 0x89c25082,
+    0x49fba0ac, 0xf9dddac5, 0x72c09392, 0xaf52e79b, 0xa54a65bb, 0x7174995f, 0xe0e05040, 0xcc013f56,
+    0x818b5247, 0xc4b32ed4, 0x60ac2f61, 0x01f53f07, 0xd4204bb0, 0x70256f6b, 0x265049d9, 0xa9c46980,
+    0xbc8cc157, 0x518a307e, 0xe5c6aeee, 0x294d60dc, 0x341dc88b, 0x2762b3b1, 0xf477be3b, 0x91328459,
+    0x9d4791d3, 0xab86db70, 0x930c4366, 0xd9a6ecc1, 0xf8e9025b, 0xafc3187b, 0x786617ee, 0x33733b4b,
+    0x6dbb7d57, 0x5de8ffa6, 0xf41c72c3, 0xebe38ad7, 0x1777ab90, 0x256d1a04, 0x1246ae44, 0x277c16d3,
+    0xac44feef, 0x11fd2c80, 0xf26d9ebc, 0x62afd81d, 0x8109d777, 0x430a6f20, 0xda88d709, 0x6c24b17c,
+    0xe61558be, 0x8f6435e8, 0xbb292f75, 0x6eaf7228, 0x3eee2bb6, 0xcac756db, 0xcab2a98d, 0x583df7ca,
+    0xfd9c74d8, 0xfb907057, 0x3220ca19, 0x6d763ebc, 0x759ed5da, 0x172ffa2c, 0xffc1eeb8, 0xc0a8c1dd,
+    0xfe632617, 0x8d33295d, 0x7700660d, 0xde73e770, 0x0066b3fb, 0x4f229e7a, 0x59a0444b, 0xf27eb5b0,
+    0x66682f5d, 0x97e8b694, 0xac2bea6c, 0xb8ae8e02, 0xf34ae569, 0x2e43307c, 0x227aba77, 0x252e9e97,
+    0xe6f971ec, 0x707f4dc6, 0x80409c62, 0xb2eb3cba, 0xaadaf85c, 0x65033244, 0x9e2cf57c, 0xb611b921,
+    0x4305a57f, 0xb3e19d79, 0x44cf93c6, 0xaf97d01a, 0xef26b3b5, 0x41f7db2d, 0xb5f5de32, 0x08e4ab8b,
+    0x1ae7336a, 0x88e8a624, 0x864928b9, 0xc203b063, 0x13eef77d, 0x323f272e, 0xdefb4220, 0xbc41accb,
+    0xee209124, 0xd1b5231b, 0xb1f6fca0, 0x7eaa16b8, 0xd64c6e19, 0x235deed3, 0xbd5efc9d, 0xbc0004e0,
+    0x9645deb1, 0xcf6a5b21, 0x9b122b38, 0x6fd72003, 0x16b3c279, 0xcf186e44, 0xd3c1dfd1, 0x38f2570b,
+    0x5c9cc792, 0x34a9a6fc, 0x3d7afd0f, 0x4978eaca, 0xcbe4b234, 0xe36d31f4, 0xdcd13bd4, 0x911e5b8f,
+    0xe2f057c8, 0x41bac26e, 0x725e5631, 0x5d4bba99, 0xa4574384, 0x72c8b7ee, 0x8ae6dc96, 0x1928e0b3,
+    0x29755b8c, 0x2426dc8a, 0x88d7fae4, 0x8f2cfcaa, 0x95b9a99a, 0x36dc0753, 0xfad4fbfd, 0xf01903d8,
+    0x3a7028d2, 0x152bb3f4, 0xa91d3608, 0x58200772, 0x6c1e9bea, 0x23627712, 0x0ca0b150, 0xbb4870fe,
+    0x0d1da969, 0xc4c79646, 0x1cf5d51c, 0xe26c7ef9, 0x6419593c, 0xeaec9f5e, 0xe5b46dc7, 0xba506e8e,
+    0x88f00f68, 0x8c7de446, 0x2ffa1fa8, 0x20fcbb1e, 0x2a0da500, 0x116ab1ff, 0x61339bf7, 0xc6b96c6b,
+    0x801f1c52, 0xc1608d1d, 0x9304a605, 0xd85e2fe6, 0xeda0d6f0, 0xcde3ed8e, 0x1235eb7d, 0xb84292eb,
+    0xf63e4c37, 0x84a9f60b, 0x15020559, 0x183113e4, 0x45111bbb, 0xc8305fce, 0xdb842ecb, 0xa2160ece,
+    0xb9f7ed9c, 0xdcf39280, 0x265fbeef, 0xb52ed73a, 0x1ce8d06b, 0x558b7d8b, 0x6cabddf4, 0xdce6d9a1,
+    0x81f99cfa, 0x91416ea9, 0x429091f9, 0xb8273834, 0xc36fccbc, 0xe012933e, 0x6e4de448, 0x8d637804,
+    0x640e4ab4, 0x245c9633, 0x9310aa95, 0x5ad544d9, 0xf0e03ed8, 0x209e5f20, 0x55ccf49b, 0x4535d1e8,
+    0xd3ace40c, 0x46b33b43, 0xaa6936bb, 0xba439a1a, 0xaef4da3b, 0x1e66e8a3, 0xdd4fb574, 0x3f928909,
+    0x88a77de9, 0x4f719822, 0xf824ca5f, 0x26d592b3, 0xcd544499, 0x03942396, 0x8d7b65c6, 0x144d7433,
+    0xded83a56, 0x79d6c171, 0x6fc21264, 0xee11f95a, 0x731af7fb, 0x9c7e04b3, 0x44e63fef, 0x9d8ae6db,
+    0x6b4b22be, 0xb0384d24, 0xb4cbfdbb, 0x683f4af3, 0x038aa286, 0x7690782d, 0x6fd4dbf7, 0x7c32a094,
+    0x8a687d90, 0x0ed0cfd0, 0x6a7fb67a, 0x534856d9, 0x4e7707ee, 0xe05351cc, 0x911d1c66, 0x987bd394,
+    0x70493776, 0xa71a9d3a, 0x3762603f, 0xb730e739, 0xe5b9ad8d, 0xe3f853f0, 0x4f662cb0, 0x6d0cfb17,
+    0x8372ea98, 0x93264ea8, 0x83175026, 0xc17a66a2, 0xc99ffb63, 0x3ad82e77, 0x47bcab71, 0x1cc0c6e8,
+    0x64abf094, 0x07e4fc19, 0xe5f29614, 0x18dcd852, 0xe5e1bbad, 0xe97ffe29, 0x8131f0f9, 0x864ef7f1,
+    0x979fbd26, 0x7cc7d22e, 0x27c4d6c5, 0x8cb1738c, 0xf8605d82, 0xfb3e7e70, 0xe30cd97f, 0x2c66e101,
+    0x894d89e4, 0x34cf2178, 0x28fe46af, 0x3a70e6e3, 0x898770ae, 0xf1efb826, 0xe23b7420, 0x6e6c5339,
+    0xecce76f1, 0xf51cb06c, 0x253febfe, 0x8a507e93, 0xe0769357, 0xd041411e, 0x7405aba9, 0x0dbdb21b,
+    0x479a68e2, 0xeb3579f4, 0x28a4413a, 0xb2e934ed, 0x3a90ac67, 0x09797001, 0x2cc05985, 0x83310fef,
+    0xe11979c4, 0x6c42f428, 0x106a0dc6, 0xc2fc8d95, 0x19dc239a, 0x52947ad1, 0x6801f2a4, 0x041a65e6,
+    0xf5952d27, 0x9a36a884, 0x261e1518, 0xc345e3eb, 0xada6cfd7, 0x9911395c, 0xdaa1c775, 0x3c147e37,
+    0x1d524002, 0xc064f590, 0xb2a9e067, 0xcd9c6993, 0x211bf1ab, 0xda81c057, 0x9fb0eee8, 0x0dd46f72,
+    0x32083fcf, 0x718bef97, 0x0a44fbcc, 0xd2fefc28, 0x1cbc628e, 0x956cb8f3, 0xf333295b, 0xc07031db,
+    0x52432e9f, 0x6fdf7246, 0x16338423, 0xfe8e350a, 0xae452fbb, 0x92671694, 0x14c57004, 0x18cef687,
+    0x695b69f3, 0xb4690224, 0x83b338c5, 0xba48fe96, 0xbde0d805, 0x66edcf3c, 0xd9e795dd, 0xb9eda6b9,
+    0x73923afd, 0x4ddb0876, 0x0b763b36, 0xaf256fc3, 0xb6b89b97, 0x5f5f894c, 0x7c99259e, 0x8346d0a0,
+    0x3a069499, 0xf4cc3716, 0x85d94854, 0x7ff36da3, 0x9bdc6e92, 0x6a68316b, 0x5a469f26, 0x78ace2ac,
+    0xd7f12b31, 0x8f86c5a0, 0x5a3a3988, 0x9875354b, 0x6a6e5b45, 0x6494e131, 0x63a07584, 0x11fe7b6c,
+    0x93380aa0, 0xec2a997a, 0x91c1beb8, 0xf927f0ed, 0xbbd74bf2, 0xab982b3b, 0x500338a3, 0x6cb8bd96,
+    0xcc97cd9a, 0x6195886d, 0x27391825, 0x120a7dcb, 0x805c597e, 0x95669d62, 0x67061490, 0xc2702574,
+    0x54275569, 0xb868f270, 0xcfd6ca0d, 0xbea8d8e5, 0xf6b79407, 0xd4fb46e2, 0x2ed2469f, 0xa4bdf58f,
+    0x565f1c8a, 0x0cf26c6e, 0xf127883d, 0x601490db, 0x38fb4b3d, 0x84a2f619, 0x77dc305a, 0xaae668c2,
+    0x6cd53ab0, 0x78ff8751, 0xd2e247c9, 0x63b7879b, 0xfd59cac9, 0xb72ca69f, 0xb3fea732, 0x66d31a96,
+    0x975dca9b, 0x6b2bbf25, 0x3dd1828a, 0xa5c3afde, 0x7e240e61, 0xd6e1bf99, 0xf604f0d9, 0xeb3e6a3f,
+    0xfc9a6ba8, 0x74f95f87, 0xdc574b5e, 0x2d9478f9, 0x147eccd5, 0xd74c0ca6, 0xe36f8e12, 0xd807c8ec,
+    0xec5f1a7a, 0x420fc8e9, 0x6b4dc50a, 0x31e3002e, 0x13289db8, 0x1f427823, 0x3ef04186, 0x0d3e7f6d,
+    0xc0e79bf6, 0x3746b60e, 0xd68beed8, 0xc87300ef, 0x10c5cd15, 0x091dd555, 0xb112a8a4, 0x80013df9,
+    0xa0a9ba01, 0xe4003988, 0x16cc3feb, 0x8620837a, 0x824ba363, 0x322a70cf, 0xab159c86, 0x72cd2c7c,
+    0xecf2dc15, 0xc1382c9d, 0x1f06d06b, 0xb5c68641, 0xa0ead02a, 0xef419ed8, 0x63ab779e, 0x8786ff6f,
+    0x1c2885a2, 0xdcdcd9a6, 0x25c1d223, 0x61dd965b, 0xfb7ba735, 0x4ba99b68, 0xf0c32aa9, 0x9b58637f,
+    0x7df06bee, 0x7239a47e, 0x80247d28, 0xc875aaaf, 0x91ab5aff, 0xc6d35a39, 0x64c04915, 0x2d1d06d6,
+    0x67355b20, 0xc31071f7, 0xc92f9442, 0x2ba5f3ff, 0xb0b15ea9, 0xe5e9e0af, 0x8dadcca7, 0x0fb835b8,
+    0x1d27198a, 0xdf3383b1, 0x4bcc8152, 0x1d7e7753, 0x30ca3436, 0xb10a0b0f, 0x6e09c492, 0xfa6eba76,
+    0xe5922f6c, 0x0922019c, 0x9bc54032, 0xad92b1b2, 0x20dc3c46, 0x899a80a8, 0xcc1f4e27, 0xab176ded,
+    0x8afba90b, 0xf781930f, 0x3017f567, 0x085db3de, 0x3a5bb4f3, 0x802af256, 0x3f060ff8, 0x305b4368,
+    0x7b5175e5, 0xc495cf33, 0x62da6831, 0xf8bdf16f, 0x37ad7852, 0x7478e579, 0xe96180d0, 0xbdd00714,
+    0x10738711, 0xc16135ce, 0xaddeeb69, 0xde0c555d, 0x3f465d32, 0x3ca239b8, 0xd85102ff, 0x87513ed5,
+    0x375f9738, 0x4e449457, 0x56881e90, 0x7c8549eb, 0xc4bce444, 0xd4d7312c, 0x8afc00a2, 0x1d019369,
+    0x3eafe6de, 0x07573eae, 0xca506105, 0xd75d67cd, 0x1673af7b, 0xcb676a7a, 0x99407df7, 0x2fb98a7c,
+    0x0409a160, 0x7f1699c6, 0xbe0215b7, 0x72f7366e, 0x1784589c, 0x1bf6a26b, 0xd3688747, 0xefe49784,
+    0xd4c7a2d7, 0x11177d34, 0xe096d9df, 0x9cff099b, 0xb53e007d, 0xf20b2f98, 0x1fb67d38, 0xe86c7e4f,
+    0xb1fc4100, 0xfd504739, 0xa760d36b, 0xe43353f4, 0xa651c2b1, 0xa8ae46f7, 0x702e162f, 0xea529789,
+    0x14f6564c, 0x41f3c91c, 0x8ede1570, 0x2ae238d1, 0x4db4424d, 0x81075e79, 0x8620540d, 0x382e57df,
+    0xa7c9b664, 0x4694e7f0, 0x7e15ba6b, 0x004c249a, 0x548f7dde, 0x09665f28, 0xef76d74a, 0x87bb2bcc,
+    0x820dd242, 0x91bc8e71, 0x1a55b810, 0xeebe4f39, 0x8941ce0e, 0xbb1986bf, 0xe7fc409b, 0xdc74e507,
+    0xf86a7c7c, 0xbc190c45, 0xec946348, 0xa83271bc, 0x68297210, 0xa3e8a89f, 0x0bbfada1, 0x90ec1fa8,
+    0x786fb603, 0x557f0cc6, 0xe181a341, 0x1c5a54dd, 0x9348f9b1, 0x985fcc6c, 0x0ffc6dff, 0xcf5c6b3f,
+    0x3cb9dac3, 0xafb38a0f, 0x22856ba2, 0x395dc690, 0x49460e40, 0xe6dee381, 0x3cfe8041, 0xaff24947,
+    0xd0f9cfb9, 0x65939df4, 0x7abaa055, 0xb8296c5e, 0xf06f833c, 0xce02512e, 0xedf42883, 0xa4869203,
+    0x2e83c07e, 0x48e591e4, 0x11997abe, 0x9a58e78c, 0x7d21dcf0, 0xb3e0c68f, 0x5f985973, 0x505cf76b,
+    0x1931e027, 0x53010366, 0x5e9d93f8, 0xa9946c6b, 0xb0e036d3, 0x7a58c39c, 0x73adc0c6, 0xa30b0165,
+    0xd7b9c69a, 0x5eb68298, 0x804bebe8, 0x87c568ef, 0x73a7d1ed, 0xfb8d0a4d, 0xbba4ea39, 0x05a79643,
+    0xc1da6803, 0x6cdd2d6d, 0xcf9822e0, 0xdc5e7fbf, 0x19838f3e, 0xcc1dad54, 0x638de003, 0x6014d967,
+    0x90fa38c9, 0x51c234a8, 0xe42a3c49, 0x3e88e70b, 0xca5b2da0, 0xc807a8de, 0xa7879246, 0xae3a54b3,
+    0xa1f4a0eb, 0x84efba5c, 0x8b7fe659, 0x50ad9dcd, 0xd7e61016, 0x7e3db067, 0x2bb3c7f7, 0x41a557dd,
+    0x13f7b9ce, 0xcf620dc5, 0xaae223a4, 0x6d081e8d, 0x16c069d3, 0xd33e27fa, 0x1a60b8ea, 0x5779f933,
+    0x6b6a1ea8, 0xbf06a224, 0xe3feea57, 0x55d8392a, 0x1762d0fe, 0x3b049a0a, 0x47486868, 0x345d830a,
+    0xc84d85c8, 0x98aed5e2, 0x0c331f7a, 0x0d5132ff, 0xecc56125, 0x57e599fd, 0xde446225, 0x6821efbd,
+    0x2b852d26, 0xc31dcc12, 0x90bc9068, 0x4f7b204e, 0xf616ece9, 0x345e9b44, 0xb6ef1f5d, 0x492b37a4,
+    0x9be6d311, 0xca5c1466, 0x0ffa753e, 0xf7cb2956, 0xe8f0ea8a, 0x790c0220, 0x256d8390, 0xf904a16e,
+    0x3d4584f7, 0x64822d87, 0xf9e43fbc, 0x791d963c, 0xd10d8cfa, 0x62702807, 0x9e339aa9, 0x5191a70f,
+    0x55a2ddcd, 0xc0eaff37, 0xb2357c32, 0xf53e94d1, 0x6bd3f698, 0x87a60158, 0xda57c0bd, 0xa2a682a5,
+    0x00000000,
+    0xfffff2b5, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000001024 */
+  { 0x00000000,
+    0x4ff62d7c, 0x5954f033, 0x23abc1c6, 0x2cfbab9a, 0xafa1736c, 0xb6bf56d4, 0xa385ddd3, 0x020d67de,
+    0xdab3af0f, 0xb4301c47, 0xe813a95a, 0x26677ee7, 0xb753c481, 0x7df2ec62, 0x96d5c88c, 0xecf71dfc,
+    0xcd9c890e, 0x17f3fdbf, 0x4c602381, 0x1ac40a3f, 0x809da997, 0x293c4688, 0x02109bd6, 0xda4d003b,
+    0x90faf633, 0xdf38c851, 0x06fc7338, 0x8b409a77, 0x53b48a15, 0x5ed4bc22, 0x83aa829e, 0x247d7413,
+    0x5a877495, 0x4fcb2371, 0x54da5bc7, 0x27d3840a, 0x9ca15193, 0x9c6992bb, 0x01d80d68, 0x1d9c22cd,
+    0x4225a023, 0x8809adc5, 0xece8cdf1, 0xdbe8affb, 0x3429dd97, 0xfa0fac39, 0x2e2d58fa, 0x7ec3e0cc,
+    0xc7d4a189, 0x969ec0c5, 0xde4a7773, 0xadac6240, 0xa1f62aaf, 0xab17ee5f, 0x566c07fc, 0x2bce6e2a,
+    0xd0273e95, 0x780fe2d6, 0xb7672c7f, 0x0b6e3b4a, 0x58e8040c, 0x707c443e, 0xae6f500b, 0x6ab93443,
+    0xe234a284, 0x81026f80, 0x82364c1e, 0xcfb87481, 0x436bf57f, 0xede195d2, 0x602876f7, 0xe4212f2c,
+    0xcfffffab, 0x95f8be0f, 0x24e9b5d6, 0x835e6143, 0x4d6f2865, 0xc3f12a28, 0xadfc8a19, 0x4e7229dc,
+    0x8e54a225, 0x6fd746b7, 0xd1fd31f0, 0xfb5b203e, 0xacac20ff, 0x37a28e6b, 0x7df002b9, 0x0412d260,
+    0x54576581, 0x893d11e2, 0xeb4dc66b, 0xb410f86a, 0xc4c71daf, 0x0dd4ee45, 0xdf3676d4, 0x7bdb4eb2,
+    0xa5b938e9, 0x9ce5eb66, 0x6a74eccd, 0x6bd32d35, 0xb8e9871b, 0xd198e52d, 0x22ae270f, 0x88b46efc,
+    0x6cd2d468, 0x414bad46, 0x8be29784, 0x3aa7d136, 0xde2b30c8, 0x52b2971f, 0xccd0a82a, 0xcc796ddd,
+    0x832d13f6, 0x92f17b89, 0xfa8ae022, 0x39f416db, 0xe1b016ac, 0xaf2bd006, 0xab3b563a, 0x120ff94c,
+    0xba58eb36, 0xe157b53d, 0x3577a33d, 0x0c0147d3, 0xa13d3772, 0x97568fd4, 0xb36d0d0b, 0x49180277,
+    0x57427475, 0x4046558d, 0x0d55cbfa, 0xb17f6350, 0x73ae9c2e, 0xb539bfdb, 0x3b14e9a9, 0x6296db3d,
+    0x59f5664a, 0x9909ed00, 0xb5b31193, 0x8b208967, 0x9692656f, 0xdb20437f, 0x0afe709e, 0x769a7596,
+    0xec6bab9a, 0xb62d8d15, 0xef15d1e1, 0xd68e46f4, 0x0a9a2d6e, 0x98c99a6f, 0xdafaf596, 0x74aa7086,
+    0xf32a4da9, 0x75d59884, 0x8f9b14a2, 0x53e8e757, 0xe984d888, 0xa43d296a, 0x0f272513, 0x87a02f76,
+    0x7f433553, 0x3c6e732a, 0xa97367fe, 0xd8722382, 0xe85df0a6, 0x80765a45, 0x604a0bd6, 0xe3a9f470,
+    0xd1ed54e3, 0x08af6e2c, 0x81dd0e84, 0x285f515c, 0xfdf59de0, 0x26bb109c, 0x99a0bb8e, 0xac58aea3,
+    0x3fc732c3, 0xa38dde7d, 0x202b0a47, 0xf4335ea7, 0x9344d3ff, 0xed4c9df4, 0x8e5d23fa, 0xe8abb467,
+    0xec1cd2e7, 0x005ec2d8, 0xd81c2189, 0xa7f0edbf, 0xbcf3bf89, 0x59ac9408, 0xa599aa66, 0x0f2a019c,
+    0x974f251a, 0xda560c7e, 0x91923458, 0x9b2ab785, 0x44b02c54, 0xdb97aa05, 0x239d7ac6, 0x8fa0ca3d,
+    0xbd445ea0, 0x075028c6, 0x2de19532, 0xc9643142, 0x610b4c1d, 0xe0681aee, 0xa6f2a09b, 0xaef6539f,
+    0x61d3dd9b, 0x1b6ec221, 0x0d3fcb76, 0x0acfe59b, 0x154fb5f7, 0x4af19629, 0x8b1ddfba, 0xb699a275,
+    0x535cef50, 0xa7df46f9, 0xd0c12214, 0x3919610d, 0xf2ecd14a, 0x622dc8ec, 0x59b5076b, 0x07b55162,
+    0xd57cb488, 0x92628f72, 0x430eab28, 0x6f1703ed, 0xe8c86cda, 0xc8d10bdd, 0x25507ef9, 0x35f724c4,
+    0x466426b8, 0xeb6d0dec, 0x8f4042c0, 0xa51a0392, 0x83e24122, 0x58b52f38, 0xb7c56163, 0x4dfc9503,
+    0x6bebf85c, 0x95e29977, 0x297b0fcf, 0x798ed605, 0x2a4f49c2, 0xfd59bbd8, 0x28850cc9, 0x7c547936,
+    0x595b124a, 0xab7dfe28, 0x87fef19e, 0x99b998d6, 0x0d986e4b, 0x67ea1bbd, 0x7206b107, 0xd63faf47,
+    0x179644ad, 0xc90e9914, 0x45d4d578, 0x39ecc252, 0xabf57f39, 0x63a7de75, 0x7286fe54, 0x8b47651b,
+    0x89c63554, 0x533e38f7, 0x152cba27, 0x87affa48, 0xf8d845a4, 0xf49c9e2e, 0xe6a78d84, 0x4ae299ad,
+    0x05e99012, 0xbb9a24d7, 0xafdfa235, 0x89fc7a30, 0x483dcdf6, 0x25f24da0, 0x582dc797, 0xfc88ca38,
+    0x7051c238, 0xb3f66674, 0xd3e8e583, 0x5676a2dd, 0x1409637e, 0x9dadccc4, 0xd2a898dc, 0x55f7f7b0,
+    0x9fdfb834, 0x3ed1ba61, 0xb93ea91e, 0x09abd540, 0xc2777bc8, 0x2777ac72, 0x879e9e92, 0xaa6b93d3,
+    0xd0e5563b, 0x4f1470d1, 0x5e714dab, 0xdce090e3, 0x4b13fda4, 0xf7698e35, 0xf9f0c97d, 0x354ec3d0,
+    0x6ae1bf19, 0x370bbc3c, 0x2587914f, 0xb059d5fa, 0x421a029b, 0x822f918b, 0x9546c801, 0x1b084ff3,
+    0x174b9975, 0x72b4261a, 0x0f604f16, 0x9daedc63, 0x623aa736, 0x0f8cab18, 0x708dba6d, 0x2c9a1d87,
+    0x213c5d27, 0x9d8a4191, 0xff6c532b, 0xe43a0b8b, 0xc1ad4df5, 0x85ae7449, 0x362dd2ca, 0x524f0c64,
+    0xd2338652, 0xc18a5ac9, 0x49e8776d, 0x3c281403, 0x59b4abf1, 0x6594e05f, 0x269cf042, 0x8590cdca,
+    0x64ded954, 0xe715e467, 0x8a96297a, 0xca1f49fb, 0x67e92797, 0x6ea2384f, 0x02e8d1cc, 0xadf8ebaf,
+    0xcc24e694, 0xf9b501a7, 0x8afecdc5, 0x3ce54d00, 0x451ceffe, 0xf28632e4, 0x0ef6233f, 0x1fa288e6,
+    0x5c108362, 0x2d4a5985, 0xa86a8509, 0x0ce5c99e, 0xaa70ca04, 0xe78b0524, 0x9bc44ff8, 0xc27f3e15,
+    0x4fbaa6b1, 0x83e57ce8, 0x2a780fc6, 0x521dd841, 0xf86264e1, 0xbc6d4441, 0x825dc752, 0xd9994f12,
+    0x868f4a24, 0x37587860, 0x5af4283b, 0x743af537, 0x8698fa0e, 0x2ff0d702, 0xbc546ce4, 0x02e287dc,
+    0x3522ce0a, 0x5c88eaac, 0x926c927e, 0x4624ee72, 0x77ca0342, 0x69148085, 0x0c98f14d, 0xd75f4fcb,
+    0x46b9f324, 0x92fed051, 0x0e28ed03, 0x84fed96f, 0x12266b64, 0x09866bea, 0xdf0ef832, 0x5cd82081,
+    0x906a1579, 0x73ce3a14, 0x760836c4, 0x6147578f, 0x5803f22c, 0x5c22a812, 0xa8ed9a85, 0x90cbd54c,
+    0x351adf13, 0x63633f28, 0x698b0c95, 0xbcc936c0, 0x69379dcd, 0x8c574473, 0xee8fb8fd, 0x86a166f1,
+    0x7df67c02, 0xb59c9b6e, 0x1bf0ea4d, 0x6e300d7b, 0x12fea435, 0xf0bf7132, 0x60dff653, 0x225008e3,
+    0x4a456a4c, 0xb163e294, 0x4eab9a48, 0x82004133, 0x3b294189, 0xcb138ed2, 0x20fa2985, 0xf05b6dc0,
+    0x175b130a, 0x9d5c83f3, 0xbdb67d00, 0xd3369644, 0x0c41ed21, 0xf88b42bd, 0xe5a0a1c0, 0xe0773fcf,
+    0x620ea50c, 0x7f276ef8, 0x43c50325, 0x99e8a0f9, 0x5df1aa58, 0xe7ab0f56, 0x005fd734, 0x2cfcb4f9,
+    0x1cac51ea, 0xd7955acf, 0x5bad88ce, 0xc88db359, 0x8b8a6006, 0x634121f2, 0x4b9b352b, 0xfd600908,
+    0x1cf8a5de, 0x0dfe81f1, 0xca148837, 0x568779e4, 0x201573ce, 0x65de0692, 0x8350357a, 0xf01742dc,
+    0xe5a38e43, 0x7dd4db32, 0x3dc1e04b, 0xc56e5e11, 0x5a5c4e11, 0x4a70415b, 0x142817c0, 0x54c4ad52,
+    0xc19ec02a, 0x546ca9e4, 0x2762a367, 0x50397c03, 0x6f7bacbb, 0xd2b5fe94, 0xc4cb03be, 0x4290eba2,
+    0xfeb40bd8, 0x3e780fe3, 0x4fdaedc2, 0x5671e84d, 0x43172d19, 0x4474d77f, 0x431092aa, 0x6fb7ebc3,
+    0x9bc92162, 0xc9f5ea15, 0x48390cf4, 0xd3335f5a, 0x3e57c02d, 0xbd58fc08, 0xedc64710, 0x55e3f856,
+    0xf57689f5, 0xf88e7a87, 0xac80b062, 0xc36b2d1d, 0x66a3edcf, 0x530075fa, 0xb2072e53, 0x888949e2,
+    0xf5c54c31, 0xaed91bc4, 0x4e55b216, 0x8a528d5e, 0x97645436, 0xb56a9da7, 0x71047beb, 0x64b67a6a,
+    0x5d8736f1, 0x9b267880, 0x2f70960e, 0x17866196, 0xf5034f4b, 0xc37194d7, 0xeedf67de, 0xd6126931,
+    0x2d3dfb06, 0xad67988e, 0x5f0c8d64, 0xa5638d82, 0x10405c2a, 0x84e5ba6d, 0x50590b94, 0x4472433d,
+    0x787a3994, 0xac60f6dc, 0x8a8f20e9, 0x1833ed16, 0xdbcbd40a, 0x319a629e, 0x969def0c, 0x2e1a0768,
+    0x08f3caa7, 0x73632b6c, 0x8ab02f8f, 0xd39a83fc, 0xf4c12b32, 0x8e51316d, 0x8844b335, 0xb811b0ac,
+    0x1e8b22f3, 0x27711038, 0x1b9ee8da, 0xf601d4a5, 0xffd29e6e, 0xcf31e178, 0x1fa62d69, 0xc9bfcaef,
+    0x3fb25dcc, 0x79fb462c, 0x80d8989b, 0x6536f318, 0x8cdacbd2, 0xf2097d1f, 0xea49ef5f, 0xba016117,
+    0x9997780f, 0x1ba9567d, 0xa1cc9229, 0xd781aa5a, 0x199e98a2, 0xfb858822, 0x42d6461f, 0x756e50b8,
+    0xcd32e260, 0x54cf42eb, 0xcd7a61be, 0x4d60caa8, 0xf301f1f9, 0x0a5d1eb6, 0x731b6c83, 0x7a80d56d,
+    0x488f8ea8, 0xca049a91, 0x930fe843, 0x7a86c5da, 0x8a5aee8b, 0xbd81ce44, 0x0be2c2e3, 0x22cd843b,
+    0x6c707f43, 0xd1a4aec5, 0x5b4ff868, 0x065ba36c, 0x710a5725, 0x82e3cafc, 0x583a5aa5, 0x7091b06e,
+    0xb1fed1b9, 0x13bc5af3, 0x7292ddfe, 0xb4a38f35, 0xa7faa3d9, 0x9f07db97, 0x640fde0c, 0xcfca06f0,
+    0x51a24712, 0x3ff014df, 0x41c6fbf4, 0xefef3268, 0x351c805e, 0x7abf9871, 0x983c3f18, 0x3a47b7b9,
+    0xad49a42a, 0xcd871e35, 0xcad94cfa, 0x17260d1d, 0xf371c301, 0xd88f970c, 0x1529ac2d, 0x2c0b994d,
+    0x1bc9db3a, 0x717ef862, 0x190c109a, 0xd57e3ef0, 0x7acd49d3, 0xe15c67bc, 0x1e5592b4, 0x85739441,
+    0x4ca0b62b, 0x0da27675, 0x8f3c0150, 0xa9eb3910, 0x195c3f76, 0x3c5d3009, 0xc93f3ccf, 0x87a5e5ef,
+    0x207eb57b, 0x7e476d7c, 0x1818fb4c, 0xc98e1538, 0x8cf7ac53, 0x4053f303, 0x987e4e02, 0xd3378c8b,
+    0x738ff232, 0x695b6c37, 0x700821af, 0x602c3d5a, 0x66c4efbc, 0x3e2c2430, 0x398cce50, 0x86efe54f,
+    0x6afa9d96, 0xe3cb6dcd, 0xe49e090e, 0x18c3705e, 0xba9f2ad0, 0xfac213e0, 0x1c6f3a0c, 0x2ab33c42,
+    0xa05b0d78, 0x4fd827f1, 0x379456dc, 0x5a81bb92, 0x55eb938e, 0x14bf3d9a, 0x6becadc0, 0x8c1a5632,
+    0x8735d6fa, 0x45d5f708, 0x0decb251, 0x73d2b951, 0xd0dc0123, 0x1c6623fc, 0x2779ae25, 0x27588a00,
+    0xda55b73f, 0xf2d29ed0, 0xb9a4300b, 0x949563b6, 0xd11be526, 0x0daf9bd7, 0x45623e4a, 0x7d5f13c9,
+    0x4f2b97b6, 0x152c59f4, 0xb351ab32, 0x5bf749ef, 0x26343e19, 0xce420705, 0x5a916989, 0x11208d56,
+    0xf0fc49e7, 0xe6247ef5, 0x6981a255, 0x2892c623, 0xaeff3613, 0x4ba1c48d, 0x9546767b, 0x133f88bc,
+    0x177872d7, 0xb7017168, 0x4168aa8a, 0x033e2dc1, 0x17c0f193, 0x343a8010, 0x71616ccd, 0xed760074,
+    0x7d03c5bf, 0x305483ae, 0x743e8c50, 0x6474a501, 0xfbda044b, 0x1796a7b3, 0xd7835d49, 0xe216976c,
+    0xb01b8b45, 0xe51c9c0c, 0x75fe92f8, 0xc1bef2d9, 0xff8da76b, 0x194dcdd3, 0x2dcd3aa6, 0xd1fb2ae3,
+    0x6be6dc88, 0xfc7c65f6, 0xfd572f1d, 0x641680cd, 0x8612dc6e, 0x7873bf9f, 0x761126f8, 0xf0b1ac39,
+    0x83a31039, 0x93374643, 0xcf383401, 0x172f9459, 0x5308554d, 0x51c0b168, 0x8eb938c7, 0xd5a6f1e4,
+    0x4b3b7977, 0x7b557790, 0x9a8d1891, 0x3627bf2b, 0x9d2659e8, 0x782e9007, 0x227a557b, 0x1b803cfe,
+    0xaa42c185, 0xcf9cafee, 0x2dc16313, 0x4539c216, 0x30a08277, 0x693773fd, 0x4de3fb8f, 0xcdc99d92,
+    0x2fa0e033, 0x19f0d3ee, 0x569a69c3, 0x2c8a0dfb, 0xe7d94ed9, 0xafb70cef, 0x079ee9a4, 0xe3f97a22,
+    0x9bbd095f, 0x1763623f, 0x2c12de2b, 0xe925ac4a, 0xf6d41ed5, 0xe7e853ea, 0xb76b66c5, 0x677ac6a0,
+    0x1a4b05e5, 0x0d323070, 0x3a0cb3d3, 0xc9c7dd8e, 0x22a4901c, 0x9359764f, 0x669cf1f9, 0xb2a2a9db,
+    0x4864d38a, 0x8a9e0a58, 0xe8d40b88, 0xe160a16e, 0x1c68b3b3, 0xcd6becc0, 0xfe1bfa4d, 0xcbc10085,
+    0xbde0c24a, 0x7e675158, 0x37b1f50e, 0x562747bc, 0xb479275e, 0x3e0ad7b9, 0x52c275e2, 0x1aeeeb4f,
+    0xd438fdb7, 0x01358a2b, 0x196a0545, 0xbae2e31f, 0x70c30a88, 0x3eba7996, 0x9453ec17, 0xecfae099,
+    0xae515b6c, 0x36388165, 0x842722db, 0xe6e6f2f6, 0x7a2b7ba2, 0x434a29db, 0xf5181bf4, 0xf85d2879,
+    0x504c7cf7, 0xf106302b, 0x2fdf7cd6, 0xd0987f7f, 0xdb54abf4, 0x454ad5ba, 0xfd806db5, 0xed3eff71,
+    0x880f49ae, 0xacfdcc56, 0x81552395, 0xb0c7eb46, 0x556c4cbe, 0x15302400, 0xc833b75d, 0x9a511cab,
+    0x12647ab1, 0x2323e9dd, 0x66b1cfd1, 0x49df191d, 0x5670bc34, 0x2e25f359, 0xeac98972, 0xfd3141cb,
+    0x52912baf, 0x108f8f83, 0x045b29d3, 0xcf4688d0, 0xbf8cc2a9, 0xcd5b315a, 0xb92b3d29, 0x327f3263,
+    0x08ecc4bf, 0xeb86928f, 0xa155d219, 0xb7b9651e, 0x2b984b4b, 0x8c4f4891, 0x380c5d65, 0x41158965,
+    0x696b0fc9, 0xca7f2753, 0xa773b154, 0x2801f894, 0xa2c9854d, 0x3e87ba6a, 0x6064a231, 0xbc007451,
+    0xafe73f28, 0x8b5e3b0e, 0xf5ee3018, 0x60521f77, 0x85d627da, 0x7e15aaad, 0xae2820d8, 0xbe7d5dcf,
+    0x3d2ac6e0, 0xafc2dbee, 0x067a05a6, 0x55662034, 0x73c9e559, 0xc3f39cc8, 0xa256fbfc, 0xe28f7977,
+    0xccdac02f, 0x63231da3, 0xaad2e330, 0x8c4123a9, 0x30d54ae9, 0xfe1fb617, 0x23e45605, 0x987891ab,
+    0xbf2d73b6, 0xa5f6a320, 0x9c633562, 0xf5e8f244, 0x556f2f10, 0x150b53d0, 0x722fc9f1, 0xf15d57a8,
+    0xeb61ae9d, 0x044980f5, 0xe9cbaa36, 0x6b9c1dbe, 0x06ca2c83, 0x2aaed1c7, 0x4d83ff36, 0x31875f43,
+    0x6ad2c45a, 0x1b96de6f, 0xf0a6b105, 0x9e691076, 0x15ae6c8f, 0x73d405ac, 0xd54cc5f6, 0x8d492952,
+    0x4e95778c, 0x50743242, 0xe772e8b6, 0x5fd4eec4, 0x131161e9, 0xd31ddc8c, 0x412e399e, 0x6a40c4ad,
+    0x6907fb13, 0xd550b11e, 0x718ee4fe, 0x302de8f3, 0xb3dcac96, 0xe8fba71f, 0x72438718, 0x7276ee8c,
+    0x0b39ad61, 0x259b1183, 0x4609ccf3, 0xb920e54a, 0xe1d4addc, 0xcaf644cb, 0xad28125c, 0x63b0be25,
+    0x72ca786a, 0x375b0266, 0xa72a76b9, 0x4c3f62ce, 0x5a10cf5d, 0x175b448c, 0x50036c30, 0x22682356,
+    0xb72f227c, 0x0e87338b, 0xdbf2f196, 0x1746a353, 0x6298e49a, 0x60293e02, 0xf10336a4, 0xbd9d1402,
+    0xa0b2c86a, 0x00f7503e, 0xbcab954d, 0xa4912044, 0xb20ebb49, 0x16784839, 0x997846ef, 0x28ea3e4b,
+    0x82d510f8, 0x1e75a2f9, 0x4a123c5a, 0x323f0597, 0xce90785f, 0xd214c1a8, 0xfebd5315, 0xf8ab1e4d,
+    0x46946e27, 0xefc65150, 0x52acab89, 0xea2a3883, 0x173e290c, 0xb533bbf4, 0xfb5d5b69, 0x58a540c2,
+    0xe1284265, 0x7576da6a, 0xb6b5d467, 0x517f6bec, 0xdbced830, 0x5fb1c1e4, 0xf02b6e57, 0xe030d4e2,
+    0x9d95899a, 0x63205b60, 0x8ea58844, 0x74e6e881, 0xb37ff019, 0xbf03bd37, 0xb381495f, 0x56e9c680,
+    0x155ef808, 0x82aca121, 0x9e9417e6, 0xb7c15899, 0xea784a4d, 0xf61f98d8, 0x6c1158c7, 0x97e0669f,
+    0x9eb1af78, 0x5143d3ba, 0x7319560b, 0x3018e3ee, 0x39a47d37, 0x0e421325, 0x3e8e0a80, 0x0c1ec3eb,
+    0x0e906d64, 0xe8318460, 0x5d35bafb, 0x47d7c137, 0xdfadea99, 0xe0e47572, 0x01e51068, 0xfefde89b,
+    0xa0693e0c, 0xd4c94a9d, 0x209b6a93, 0xe7317d62, 0xe3f204d4, 0x7132d332, 0xdb23d21c, 0x9049ee32,
+    0x00000000,
+    0xfffff95a, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000512 */
+  { 0x00000000,
+    0xef635941, 0xcaca1a92, 0x1961abc6, 0x279d565c, 0x05576e19, 0x4cff7d23, 0x09d6aea0, 0xe2fe0cc8,
+    0xd617630d, 0xcebb62fd, 0x7944c4f7, 0x0929fe09, 0x67971574, 0x8bb56e3c, 0xd1d91fdf, 0xa315484e,
+    0x1117b287, 0x77a8c60e, 0x5286c9af, 0xeec4786d, 0xa7344eb2, 0x8d0bbf8a, 0x68ee3dc4, 0xfbad0918,
+    0x5853eab8, 0xdd66bec0, 0x7eff1e39, 0xa99f1291, 0xf60f0bbc, 0x470c2b6b, 0x18a6e95b, 0x6a50c4ea,
+    0x59b317f9, 0x30071397, 0x36038725, 0x3de161ec, 0xa9f16baf, 0x318128b7, 0x565a70e1, 0x5a736ba5,
+    0x3dbe6240, 0x7f062e63, 0xd96b6d16, 0x7c18c2c7, 0xd31ce31c, 0xf298ce0d, 0x18dd4112, 0x4ba12a4c,
+    0xe8c3d816, 0x337fba72, 0x58616ccb, 0x63f8b202, 0x4662cfd3, 0x1a443957, 0x4b481ca1, 0x062ec3a6,
+    0x592ce9dc, 0xf9079b55, 0x3fe141f7, 0x5fa8c53a, 0xde263f22, 0x0a166097, 0x4845210a, 0x30931c29,
+    0x88899b3a, 0xd17143cf, 0x70122ab6, 0x4775e233, 0x0fc5fc8c, 0xd325dabb, 0xb2447e5d, 0xc7d7825e,
+    0x07ec107a, 0x73bb221d, 0x333832f1, 0xa5f93e3d, 0x078646c5, 0x1d92b472, 0x02baac1a, 0x0cd6c3ac,
+    0xdaaf1c39, 0xe5cf922b, 0xc363f3f4, 0xf6c6f6b3, 0xc1c3b374, 0x57f10ebd, 0x643f30c7, 0x713befe8,
+    0x8edc71e2, 0xb2f0b20b, 0xc630b2bf, 0xa88e81f4, 0x3570b9fb, 0x5670af5a, 0xa7d2258a, 0x9f74d918,
+    0xb2a1e0ea, 0x0cc35afb, 0x48b0c699, 0x56889299, 0x54a6dc2e, 0x8ca57307, 0x4d75dcf7, 0xd588f9bc,
+    0xfa9e8259, 0xe252d57e, 0x02c19017, 0x5576da4b, 0xec251226, 0xc254b37a, 0x3d789da8, 0xb70d1fce,
+    0xf57d99a1, 0xd7aef2dd, 0x7c732c78, 0xb56d756f, 0x5faf3db2, 0xc11314ba, 0xa9547faf, 0x87bdf8dd,
+    0x81377c30, 0x8f417efc, 0x35e9c8e8, 0xd46d119d, 0xb80da30f, 0xaa673a4f, 0x785153f2, 0x81872144,
+    0x73d4e2c0, 0x747c2513, 0x59f78807, 0x37ba3535, 0xa8619efc, 0xa8ae2d79, 0xf0f22bee, 0x348b47a0,
+    0x4f0c9aad, 0x9ffb684b, 0xf6b406eb, 0x4d2248d1, 0x0fb55ef7, 0xab624695, 0xfbb2f980, 0x48ad25fe,
+    0x96464c72, 0x6728e5cf, 0xcbfc645c, 0x67016b5e, 0xb130a46f, 0x0a5b5178, 0x788f4170, 0x6dea85c9,
+    0xd7bcbf78, 0x80ab3896, 0x9efe82bb, 0x0786374a, 0x498414ac, 0xa705d0c1, 0xb488733d, 0xc1800640,
+    0xfc1c22d4, 0x5429620b, 0x3cee6f26, 0x7d0e0b40, 0x226583c4, 0x2bdc6415, 0x4606def7, 0x1e97398f,
+    0xc6fc8ad6, 0xcdf69977, 0x2e3cc32b, 0xe987d8fc, 0xe8c26315, 0xd5b6f253, 0xbf560a3c, 0x2eedac54,
+    0x9094d923, 0x7143b2d9, 0xf9fe8100, 0x796d6e34, 0x599e9ef3, 0x07ddcb91, 0x0bb041c1, 0xad4d4bc6,
+    0x8644eaed, 0x47bf949a, 0xf8b21179, 0x760286b8, 0x81e9f89b, 0x40c94616, 0xcf41f8dc, 0xe8d1b9ed,
+    0xb11b8fb3, 0xeb4f9562, 0x19812e5a, 0x37277a4e, 0xf7e3a30a, 0xeb381f2b, 0x485e5ee8, 0x160dd36d,
+    0x0d16751d, 0xc8b161ff, 0xa6bf6101, 0x04b3c0e4, 0xc6ddbd01, 0x982cda3f, 0xd0b28516, 0xd56f7b9e,
+    0x4b32f941, 0x6275a668, 0x46222701, 0xd783fd39, 0x42ee0ae8, 0x99a24664, 0xdb5082b4, 0x3d503b5b,
+    0x23e06c43, 0xe0a1c31e, 0x3ceb1758, 0x0cb12f51, 0x1883b25a, 0xda53cb2f, 0xfdd50d86, 0x76b664b2,
+    0x96619422, 0xf632dedf, 0xceccc8bb, 0x71064042, 0xfd758165, 0x9337ddb3, 0x77f82695, 0x60e5e5a4,
+    0x6e947644, 0xe77c38f3, 0x1bd4ebd6, 0x488e8ef6, 0x90588d8b, 0xc2326000, 0x8a78fa14, 0x0330ae7a,
+    0x01157edb, 0x12fef944, 0xcdc66c84, 0x66d6d681, 0x8cdc25c6, 0x379d9602, 0xb8690651, 0x7667ec29,
+    0x6f1128b4, 0x21cc4d16, 0xf01e70a3, 0x3de3f64a, 0x66ef3ac4, 0x31323fcb, 0xecc07947, 0x92414a2a,
+    0xf986f9e2, 0x2eee98ff, 0x7252ccf1, 0xe09e43b8, 0x003033e3, 0x933187c0, 0xc001d22c, 0xda2d954b,
+    0xea7d60c6, 0xf7316e19, 0x8efa7088, 0x1eda031e, 0xc7d80d02, 0x5339226f, 0xf2095a31, 0x544de462,
+    0xd0919adf, 0xbe583b75, 0xa8f825f7, 0xd73eb3fd, 0x205e0879, 0x86026cda, 0x2ebaf303, 0xe06d63d5,
+    0xebd2d70e, 0xf13853b6, 0x35c58422, 0x94324592, 0x9e21da1c, 0xf3cc724d, 0xf95f51df, 0x644ba735,
+    0x83c02c88, 0xe4e8fa97, 0x7f1b7b37, 0x2e4eacd0, 0xadd80cef, 0x75a0987c, 0x478b26e6, 0x6843479c,
+    0x36707b47, 0xfb0d57b1, 0xd64cb0c5, 0x0bba152a, 0x4f6ec1cd, 0x1338b8c6, 0x58619930, 0xbdcaaf88,
+    0xea4f5058, 0x60b1b2da, 0xbb58d89c, 0x2ee1270f, 0x509b5b7a, 0xe5721b9b, 0x97c6af1f, 0xb5864f04,
+    0xd98fe55b, 0x92033637, 0x878705d0, 0xabaff252, 0x7f7c509d, 0x217fbb67, 0x4f9dd6c2, 0x26e610ab,
+    0xf2a5d1ee, 0x6f79359a, 0x8c5904fd, 0x7a34566a, 0x27283f6a, 0x536d9afa, 0x2308591f, 0x6265602a,
+    0xd700faf2, 0x0d103628, 0x706fd79e, 0x179fa91a, 0xbfd9999c, 0x7f2391be, 0xafb2f6ee, 0xb1c5024d,
+    0x45cb6d61, 0x655c2fa4, 0x0898b1c5, 0x82604ee5, 0xf8a3b240, 0xe6113378, 0x3370c914, 0x81fbda2c,
+    0x98081770, 0x9bcf2809, 0x29219f50, 0xb13d44c9, 0xdc560a5f, 0xb72ca671, 0xa7d6d825, 0xdab7e56b,
+    0x251858b0, 0x607bb06b, 0x4dea272a, 0xad537efa, 0x3e6acc1b, 0x13e9f16d, 0x5199093c, 0x29e524cb,
+    0xf921b0cb, 0xe6ef5ab9, 0x99c50866, 0x36fea04c, 0x191fcb89, 0x9047a503, 0x390358a9, 0xd8b5f027,
+    0x5076743a, 0x43322cb4, 0xccdc6894, 0x2bb31801, 0x48e4c598, 0x2c860d7d, 0xf5ab2889, 0xde03ce09,
+    0x31a04261, 0x0717a543, 0x58890609, 0xe4129036, 0xf527d210, 0xf94db809, 0x4966e71b, 0xd948c428,
+    0xd4c3d3ee, 0xa6a98525, 0x10ab7bdc, 0x6f84b47b, 0xcdd4e2e7, 0xe1f4a65c, 0x23495615, 0xbbeffdc9,
+    0x601aeeeb, 0x66cb6249, 0x3bcd2350, 0x0dbdbc96, 0x931adbeb, 0xe956a752, 0x0d58f280, 0x129af25f,
+    0x4f50180d, 0x9ced30cd, 0x258c9028, 0xf392a0bd, 0xb9788c3c, 0x082b6489, 0x804eca51, 0x1b62b6bd,
+    0x29352499, 0x335325fe, 0x74c201d2, 0x35140f90, 0x707430b6, 0x5b477aa6, 0xe969405e, 0x4c02560b,
+    0xdde52789, 0xd96162cb, 0x805db37b, 0xdb498c03, 0x6545d747, 0x42447fcf, 0xf1204fa7, 0x44da9345,
+    0xb8d43db2, 0x20d6790a, 0x803398f0, 0x7b0c3b1f, 0x0443a69c, 0x44552a4d, 0x860bdb32, 0x7fdff327,
+    0x42f9f808, 0xe224d8a8, 0xfcd73dbc, 0xb36c59e6, 0x5739c341, 0x9a3ec99c, 0x4bbbca62, 0x560ae2d7,
+    0x8aa7dd92, 0x3b1019e0, 0x3cb3e7c5, 0xc5d5f7db, 0x23689f15, 0xce699770, 0x4a5af9a9, 0x1ddc9ab1,
+    0x2efbf5f9, 0xbbfbe2f9, 0x908cd6b8, 0x15e48b1f, 0x77ac958b, 0x88ee1bb0, 0x66f30096, 0x1300326f,
+    0xd74eb1de, 0xfbfe215f, 0x6879ca34, 0xdc4b21c7, 0xd87ee4a4, 0x9020df4f, 0x596fa7bb, 0xa41aae0e,
+    0x61ca31a5, 0x2ce46190, 0x67c67f40, 0x2e80a2de, 0x3ee9e81b, 0x53012bd8, 0xa898d13c, 0xf289ae4c,
+    0xfb4ea663, 0xbb30ae6c, 0x72416c29, 0xab46d083, 0x3b176116, 0x4c91619d, 0x36b12ffb, 0xad54e622,
+    0x18b850e2, 0xeec7c1cc, 0x3602f1e8, 0x553a38eb, 0x7bef008b, 0xca1e263d, 0x1bba9e62, 0xf1ea5a00,
+    0x84ff256a, 0xa78f22c1, 0x8e3df34e, 0xd0c91e37, 0x8e7bec86, 0x28364cea, 0xcd3d2dd1, 0xa729d8e7,
+    0xdcdcfc19, 0xc509db41, 0x8c81a751, 0x68130cf4, 0x963edfa6, 0x3cc6cd87, 0xf0041d09, 0x67e5b5ab,
+    0x7999d452, 0xc272806c, 0x3a386cef, 0x2ce918a3, 0xa5980cbd, 0x776bebb7, 0xa04eeaf4, 0x1cc15c54,
+    0x64827503, 0x50a18014, 0xcc6e9115, 0x27a034f6, 0x82fcb657, 0x39e13c99, 0x550d49b5, 0xbf3ecdfe,
+    0x3bca96aa, 0x1066d655, 0xb85d166e, 0x94cc46d6, 0x58cc9111, 0xf1d1dab6, 0xd02f2095, 0x6a9b55cd,
+    0xb4567493, 0x2f32894b, 0x9802dc64, 0x10ce07b9, 0x1e324159, 0x4cc3ee13, 0xf6b45957, 0x676bb57c,
+    0xc86018be, 0xa035162f, 0x1f7efd09, 0x20e0e32e, 0xe6aae2fb, 0x1062eed9, 0x9fd62d05, 0xdeba8ca1,
+    0x1d16c2a7, 0x8af82b62, 0xf9cf0428, 0xb56400b9, 0x1866bc2f, 0x1254fe26, 0x706cb737, 0x3ec889b8,
+    0x979953be, 0x89d5f0d9, 0xe5cbdfb4, 0x4f63c907, 0xe1a7336b, 0x1723100e, 0xd2a8e7ab, 0x5cf32ab4,
+    0x15d6f739, 0x02231f1d, 0x431b025a, 0x03a08ec6, 0x2f947ac6, 0xb00cf548, 0xbd047e8c, 0x880d37bf,
+    0x0b1be02d, 0xb2847b41, 0xc593fc13, 0x7f9dbb01, 0x29a61c5a, 0x9ddb5b15, 0x42acd372, 0x1a5ab2b4,
+    0x653bbfad, 0xead05c41, 0x12a4c5a7, 0x023b0958, 0x416d4111, 0x8e9834b7, 0x1b95e058, 0xdb7f1f85,
+    0x251287f9, 0x0adb5cf0, 0x0f308289, 0xbb6b35fa, 0x96a0badc, 0x672a3811, 0x47061164, 0x4cdce513,
+    0xd68e8485, 0x64e87148, 0x6c3ea0ee, 0x38aba72d, 0x4f678328, 0xef964f33, 0x2db61462, 0x7d3fe9bc,
+    0xb43c9b2b, 0x3bc35cdd, 0xdc9a5784, 0x2203e473, 0x8cb2c073, 0xed284874, 0xbe550fbf, 0xe0d7f0eb,
+    0x6117df2e, 0x65395178, 0xba15461a, 0x69e4f11b, 0x149ac00c, 0xef182af8, 0x78335ad1, 0x5fe7f97d,
+    0x307c4e03, 0xcafc81b4, 0x26ad8cbb, 0x4d34a394, 0x6058f41d, 0x0ada8530, 0xb6c9a3d6, 0x68572b05,
+    0xdf72a741, 0xac19dcb5, 0xc17236c5, 0xe91a6e54, 0x0aec3897, 0x9bb2e335, 0x84f7f434, 0x1cc30047,
+    0x364d6ea0, 0xc87656bf, 0xe6b18634, 0x04898912, 0x25b8fc44, 0xb6d63ea2, 0x19b71582, 0x94f62b22,
+    0x8917005a, 0xf11e8838, 0x5ae5e8ac, 0xe5f604f9, 0x98aa3825, 0x14fc01cf, 0x8ebbe0bc, 0xd88b572a,
+    0x9cc42307, 0x0a7cf9ee, 0x6cfb07be, 0x1a159ade, 0xfac2ea80, 0x2a5b3c43, 0x94750e74, 0x4b34c37b,
+    0xaf4f6e9e, 0x71b33183, 0x8e755d22, 0x3fb912ad, 0x2e59551c, 0x38d13a58, 0x4b3b6263, 0x14ea8cc7,
+    0x9c3192a5, 0xb4022122, 0x5414c8b9, 0xce8b5216, 0x8d125778, 0x041324e6, 0x475bb927, 0x87f24ae9,
+    0x613ed587, 0xd12e2048, 0xedf924ab, 0xf9074d2f, 0x7fcdd55d, 0x1af278d5, 0x04b1e3a8, 0x1b8c755e,
+    0x632acca7, 0xf32880dc, 0xb1645249, 0xac7adc0b, 0x58bfb838, 0x04f9fb94, 0x8d106dc3, 0x20375cad,
+    0xe3dd99cf, 0x1de23971, 0xec5a0323, 0x6e9fda35, 0xc281113e, 0x4e11ddf4, 0x82aa4abf, 0x60491436,
+    0xf9b2c83b, 0x3c840ff3, 0x3cdde9a5, 0xfa2855ce, 0x655a205a, 0xaa001276, 0xc490e15e, 0x3ac75a98,
+    0x15b3eead, 0x37ca19b9, 0x99765981, 0xe59014dc, 0x6e6fc63a, 0xb6a1e5f8, 0xb7fb3fd0, 0xf3328fed,
+    0x67628354, 0x110a405a, 0x62c1d329, 0xf1898fac, 0x5a41b05d, 0xa7885b1f, 0xf5468924, 0x82a7afd4,
+    0x26da8aa3, 0x29b5c173, 0x14836d1e, 0xca10d6a7, 0x2fd6669a, 0xeb9054e8, 0x0418cc59, 0xea53ce2c,
+    0x4a80f5b6, 0xf168bf51, 0x46dd5079, 0xae4900d1, 0xb55dff13, 0x0f043335, 0x39d08e40, 0x3ea29a00,
+    0x5e35a8ae, 0x8baf74df, 0xcc626d59, 0xde864f7f, 0x13ae5197, 0x5946073f, 0x68ad3b4c, 0xfbf5938d,
+    0xf2e37d54, 0xbefc7c7d, 0x0115e45c, 0x59f02a16, 0xd378c35b, 0x1519e3c2, 0xffbd5ba3, 0x48b51094,
+    0x25f60642, 0x1a559db8, 0x38aaee17, 0xcb43bd29, 0x8fa85f5a, 0x8f60c8b4, 0x2858a074, 0x8d62dc12,
+    0x87f2befa, 0xdef60e4c, 0xb4eed506, 0x4fdf2f16, 0xeff5bd40, 0xec4c702c, 0x80b50fc6, 0xeb04c650,
+    0x93051f32, 0x0d0dded1, 0xaf2cda18, 0x13073f97, 0x29cf2efa, 0x0c737171, 0x7c071fc7, 0x919e7df6,
+    0x2348cae2, 0x3b081eab, 0xf8089586, 0x0c8105d4, 0x5f18af03, 0x528c178c, 0x2594f71e, 0x7c21be95,
+    0xb972051a, 0x661fbada, 0x948380bc, 0x27ebb781, 0x4cc01848, 0xf2c14fdd, 0x09a73632, 0x46501e54,
+    0x95a77a13, 0xb5831ef5, 0xd2107031, 0x29409f55, 0x21c98a06, 0xe91bcd43, 0x065adaef, 0xcd396c42,
+    0x738fdea3, 0x2b2c92e0, 0xbd0d34ab, 0x759c5efb, 0xecc72c83, 0xe99859c7, 0x232d76a3, 0xba6c9ad4,
+    0x08ffdc68, 0x3abcaff5, 0x18f2b69b, 0xef5b3242, 0x0489fd12, 0xfac10bbb, 0x44acaab5, 0x50696cf7,
+    0x6bcb71d3, 0xa21c53a5, 0x1a51ca8e, 0x8f7210f4, 0x58ce428e, 0xf7da5cf8, 0x90c27854, 0x18ea89e8,
+    0xb98377a6, 0xa424e72b, 0x990b7bbb, 0xbc8cb4dd, 0x0c7fb41f, 0x369901a2, 0x52e898d9, 0x364b5346,
+    0x2db519f4, 0x8aee516a, 0xb90c157f, 0x5bf149c1, 0xad6b47d7, 0x7a64f1e7, 0x6e320f74, 0x3bbb15de,
+    0x2af4e223, 0x2fc02bdf, 0x9da038fc, 0x8a7d6ae5, 0x5e15a08b, 0x31518caa, 0xc6e35efb, 0xe0d64c25,
+    0x9c6e02f1, 0xc43e370d, 0xe97ab9b8, 0x60bd7007, 0x7320f7ae, 0xecc1d5d3, 0x21f51a1b, 0x6d8a194d,
+    0xed6855f3, 0xf7d6b3a3, 0x54964a70, 0xabcea7e0, 0x11e71491, 0xb3f18d7d, 0xeeb6d337, 0xe8f2c326,
+    0x0bd2307a, 0x7bbc6692, 0x88b52549, 0xb6e9e4bf, 0xcf8bf849, 0xfc5a9249, 0x756c5204, 0x06d635e5,
+    0x069abe87, 0x1d5d2fab, 0xe752b3e7, 0xfc5fbdc6, 0x13122dea, 0xd961b72c, 0x47e5b646, 0xb1012d32,
+    0xd62c6de8, 0xed9a5939, 0x2511b51d, 0x8c9e7dea, 0x4778cd04, 0x05bd3776, 0x97228021, 0x1608cf4c,
+    0xd7ec6392, 0x6c76c6d6, 0x24d9a2bf, 0x277f0b59, 0x05518c1e, 0xb67901db, 0x7886d89a, 0x45f8f2b2,
+    0x4c1a9dbd, 0xfe87cbfe, 0x0fce4b98, 0x9cb1fa07, 0xb842f321, 0x96cd5458, 0xd6febe37, 0x75efa34d,
+    0x1ffa601b, 0x28f0b0e7, 0x7a17eb1c, 0x10bad5a7, 0x52161bdf, 0xe71805d2, 0x290361bd, 0x492e2d7d,
+    0x5f38aadc, 0xcc5223fa, 0x29370882, 0xdfb0fc10, 0xa054e859, 0xb8acdd35, 0xa5d20936, 0x2b58c9de,
+    0x61045025, 0xda6366e8, 0xdc48c277, 0x0d43e50b, 0x97399cf5, 0xa77fb783, 0x1b94db1b, 0x40fb824c,
+    0x874b6baf, 0x7ca4e1d1, 0x27694d29, 0xd184f560, 0x5d1531cc, 0x5d559f18, 0x8307b663, 0xd2db34da,
+    0xcb04ce75, 0x1496051c, 0x86efb3a6, 0x28922b18, 0x6e70c757, 0xc8d3bd04, 0x081d841d, 0xad5aeb20,
+    0xbcedfed4, 0x3c7bb0bb, 0x8371d001, 0xb8313665, 0x3797850c, 0xe2e84e8c, 0xe7b3f359, 0x2e927863,
+    0x8befc0b4, 0x3c176a0c, 0x14f85905, 0xfa4a697a, 0x7ffbfff1, 0x28807b61, 0x8b9cddd6, 0xdbf252e6,
+    0x4bdc6234, 0x13f50b81, 0xb2998a9e, 0x2ceccd57, 0x92cc7367, 0x6da1ed1d, 0x9ffd46af, 0x7d5b8041,
+    0x5539ddad, 0xd4241bb2, 0xc2373b2a, 0xe91d17c4, 0xde6e28b5, 0x5b1daf09, 0x5dbe79c2, 0xd35d948f,
+    0x6312e199, 0x4f92d8ab, 0xf2b5fe6e, 0x0ab7648f, 0x855c91c2, 0x88720a58, 0xd3202e6c, 0x66a46fbf,
+    0x8c3744fb, 0x1e2d5fed, 0x402b20c6, 0x5f6ac417, 0xbd2f7b29, 0x231bb409, 0xe07dff83, 0x4e21885d,
+    0x27c7792a, 0x46e7e442, 0xac86a8a5, 0x996c8440, 0x5e1bdf17, 0x55f3dff4, 0xe6e74360, 0x7a730e52,
+    0x08b1648f, 0x9b035377, 0x7766e8cc, 0xa23e2ed2, 0xfefb5308, 0xfa911155, 0x637a1939, 0xc0314325,
+    0x00000000,
+    0xfffffcac, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000256 */
+  { 0x00000000,
+    0xd65ba519, 0x650d596c, 0x93c83777, 0x9997f1aa, 0xae2f2395, 0xf1049b1b, 0x1b8ad832, 0xb6d3af78,
+    0x7e41fee5, 0x545ad1c6, 0x62baed75, 0xfa7aee8e, 0xbc78c08f, 0xd9509c47, 0x703f146d, 0xc252c43e,
+    0xb0e1187b, 0x3e05d758, 0xd507f32e, 0x6d5e0eb7, 0x4765dd8a, 0x33ebdc53, 0x2343a3e5, 0xbe1f697f,
+    0x544c8879, 0xbcfa16f3, 0x92103f71, 0x4e71c051, 0xb1bdc8c2, 0xd0f82eab, 0xa448140f, 0x191c4a79,
+    0x356daf96, 0x29baf07b, 0x87639c11, 0xd0e95ce8, 0x3c8765d3, 0x4fb85640, 0xbb10cc51, 0xf24bdea5,
+    0xf6a09284, 0xb12b8014, 0x3b4c5568, 0xf61999a1, 0xb2faef3d, 0xdad48517, 0x8d36a2b8, 0xbb9dc650,
+    0xd5fd284c, 0xc28646ab, 0xaed24d5f, 0x6ceeedf3, 0xe6873b87, 0x8c668dc5, 0x38061bf7, 0x2007a2cf,
+    0x73ab0cfa, 0xb977a484, 0x07991a37, 0xb44d8879, 0x68c4cf18, 0x109a72e3, 0x28eac113, 0xe1d99e8a,
+    0xe13d8d9c, 0xaa4c863d, 0x68807af9, 0x510b31c0, 0xf97cdda2, 0x32dd9c07, 0x99208b93, 0x1e98a800,
+    0x18bb627a, 0x5df25fdb, 0xb4bd11e0, 0x8964b0d4, 0xa4855443, 0x8c90e43e, 0xe147ee11, 0x916c62f9,
+    0x4a86cc77, 0x3682b937, 0xabb6509a, 0xa1ea4ecf, 0x6c0ba5f7, 0x93ceb2c5, 0x39f99180, 0xa69e1326,
+    0x35a0e127, 0xe5fc3db0, 0xc1af61cc, 0xc56c5be3, 0xd861acb1, 0x415401a2, 0x42160789, 0x7719f1ae,
+    0x55f93956, 0xbd0ce23e, 0xbc29c18e, 0x5f029bbf, 0x45cbb7e6, 0xfdc41a5d, 0xedb44df0, 0xf20ecc6b,
+    0x99763fdb, 0x1388868b, 0x3149c4ed, 0x46502ca5, 0x107f72c1, 0xd625d0cc, 0x080525b8, 0xdab9cae3,
+    0xa32fdc78, 0xc39b1ff8, 0x7a78419c, 0x8770350a, 0x7eb5e914, 0x21bfec2f, 0xf22fc0c5, 0xcd236736,
+    0x09c1599d, 0x366bf270, 0x7e5c5399, 0xd97c99eb, 0x0f785051, 0xb4eb8923, 0xc33bf1f5, 0x9f5e7472,
+    0xde584db5, 0x8a7436e1, 0xb54b7a25, 0x5ca54d01, 0x5789468b, 0x82ae3e03, 0x9b009db7, 0xf490005b,
+    0x2ed2ddf6, 0x93687804, 0xde4ee478, 0x6cd78dd3, 0xdb027edf, 0xff1f2c2f, 0xf2c38224, 0xc796ecf5,
+    0x249ae836, 0x655bdb89, 0x4cad6214, 0xa398b353, 0x4e99cb5f, 0x02edba84, 0x7e47f96f, 0x6a244bee,
+    0x0a70464c, 0x7a6a6486, 0x1586ad45, 0x5aecd449, 0xed76d652, 0xd447cda3, 0xd7c5cdc1, 0x2d1b5a0d,
+    0x967fffd0, 0xd5f64a91, 0x5edc4e42, 0x9eb66147, 0x463ce90e, 0x79799b86, 0xe3206fb3, 0x9d408611,
+    0xa586c9ec, 0x4774e65e, 0x92e424a4, 0x1f153139, 0x96fa3ab0, 0x96fbcf91, 0xa009693d, 0x020307af,
+    0x9b1de032, 0x2e8cedc4, 0x4be319f2, 0xa29b27a6, 0x0b5a3cc3, 0x087b3f10, 0xd5f2d898, 0x7a591817,
+    0xe630041c, 0x96256c5c, 0xb2cab854, 0xdcdde6b7, 0x281722ab, 0x5895d904, 0x1ded0ddc, 0x2d64a52f,
+    0xb316312b, 0x5f5ec197, 0x2ac96eb1, 0xe7c0cd38, 0x61bacf77, 0x19251328, 0x047714eb, 0xf31a232a,
+    0x169d6735, 0x4177347a, 0x6b1a21bc, 0x63635a96, 0x5b4b7ed1, 0xbefe8c79, 0x186c6830, 0x3b2dfa2b,
+    0xb9fab365, 0x88ab9c7f, 0x728ae356, 0x1703c700, 0x7f455bc1, 0xe67a5059, 0x84090e4c, 0x2bb4e978,
+    0xc3e3d4b5, 0x30811409, 0xe65661e3, 0x533f189d, 0xa62d0559, 0x5cb226e6, 0xc867f645, 0xd3668af1,
+    0x0c37b1a0, 0x3e813b47, 0x8204101c, 0xc9295efd, 0x19571ced, 0x4b8f9f56, 0x3aaf7bf0, 0xa50982da,
+    0x84526cc5, 0x1d395efe, 0x0b215b45, 0x1623063b, 0x9b8691e1, 0x19c26650, 0x8b0cc3ed, 0x18d32690,
+    0xc1c6945c, 0x5e0fd065, 0x6581daff, 0xb620fff0, 0x1085d6bd, 0xfc4f31df, 0x700835a6, 0x806aefda,
+    0x8a2ae955, 0x598de793, 0x1fb6debc, 0xb233b9da, 0x0d16a45b, 0x7543a426, 0x4bd86c45, 0x93f56223,
+    0x06c8d2c1, 0x22e31273, 0x2f57655a, 0x851145d7, 0x2ef1de41, 0x83371551, 0xb144455e, 0xb241e0b7,
+    0x7721f22f, 0x069c44bf, 0xead246bc, 0x0ed39e5b, 0x1318f0f3, 0x979deddf, 0x516be395, 0x491d3c26,
+    0x24866aee, 0x9e0647a7, 0x07024211, 0x50bef641, 0x45abec8c, 0x643e3266, 0x66fba5df, 0x23cac160,
+    0xf4dd02e1, 0xfbefe513, 0x70413edf, 0x41763958, 0x304f88eb, 0x3073fa1f, 0xfae0f91d, 0x47b9bae5,
+    0x520b6ed8, 0xb23b442e, 0xe49d5453, 0xefcfda1c, 0x286f9124, 0x830d4f77, 0x1de1ebc4, 0x07d720f9,
+    0xf457ae8f, 0xfc169b86, 0xb0918b39, 0xb24a1429, 0x797eda78, 0x27ef6a39, 0xcfd3ca56, 0x8019f226,
+    0x283da7a6, 0xc38cf3b8, 0x0267c7c9, 0xe0b0174a, 0xac989e3f, 0x97848d0b, 0x4f4a8ecf, 0x1024cff3,
+    0x34c5e12c, 0xd4d7d37e, 0x675dc594, 0xf7fd6b33, 0x691d5e1a, 0xc24c2f86, 0xc7bdecb7, 0xfd4e5203,
+    0x3e0bbdcf, 0x83c65198, 0x1a43a2b0, 0x07a32aff, 0xbb7d1c21, 0x572b3a6b, 0x02cc1b74, 0x02034911,
+    0xf7dee1e4, 0xb92201ba, 0x2e130d4c, 0xd8561ae7, 0x8608dd5b, 0x4f9b0e55, 0x5139cd57, 0x6cbb8e76,
+    0x50e0deb8, 0xafd4350f, 0x3bf2d211, 0xb991e418, 0xfebe9f41, 0x57f0bc15, 0xfdf5ba90, 0x6c1de104,
+    0xf9ce04f9, 0x8f34f929, 0xcfb05b14, 0xd8a4c62e, 0xa0c31225, 0xbb3caff4, 0x9dd0b2bc, 0xde4a323b,
+    0x96c5571f, 0x2ed9fd3b, 0x8cef6996, 0xb4acf280, 0x92318e12, 0x2827d932, 0xb845f9fc, 0xa5b64ef2,
+    0x7e32308e, 0xc681d887, 0xee5d9e6b, 0x62445727, 0x18dde461, 0x6c51b204, 0xfbdd3b29, 0xd21579d9,
+    0x9fa63ec5, 0x3863a4bd, 0x88a5ad16, 0x10c256f8, 0xd4394ae6, 0xa5d0f343, 0xb0fcfc9d, 0xc82e2ca1,
+    0xbb1bbf08, 0x75c7d4b0, 0xe31b4f07, 0x47197d19, 0x1c4ae341, 0xdf48aa08, 0x1fc76ba7, 0x1d749bc8,
+    0xa298c714, 0x5e219ef0, 0x8d12cd83, 0xaa5a5a74, 0x6cc283b2, 0x6ee162b7, 0x27f46fc9, 0x1a9d5125,
+    0x68ab632d, 0x7a20a300, 0xf2d030dc, 0x21c01134, 0xbcf8aa9f, 0xb669a31a, 0x8acbaf15, 0x4f248cfc,
+    0x19225ba8, 0x20f67a69, 0x78da08a0, 0x8e22961e, 0xad67f3d1, 0xab049535, 0xde397ad1, 0xf2972497,
+    0x9bd3e509, 0x522395f3, 0xd72bfb75, 0x66fe85de, 0xd1214c4d, 0x1227609c, 0x752631c1, 0xb615c3bd,
+    0xd1948793, 0x91e73a84, 0xe0e37a02, 0x430d0e78, 0xa80692f4, 0xaa6440f3, 0xaa94e7c1, 0x22afbc3c,
+    0xaabd80b8, 0xbe0f3037, 0x260166c6, 0x636a31a3, 0x92623e1c, 0xbca6161d, 0xd37f1756, 0x80c3444c,
+    0x7babc2f5, 0xaf2f9c44, 0xd492155f, 0xebef6607, 0x5da2f42e, 0x555a0751, 0xe1450593, 0x34f1dd93,
+    0x145e5e48, 0x69d84ff8, 0x75946e88, 0xab27c61a, 0x998587fe, 0x1d8940ba, 0x3bc55f0a, 0x90353cbf,
+    0xd7eeefa0, 0x9cffed83, 0xb099bdd3, 0x9cfbf62a, 0x38606999, 0x2ba81134, 0x8a78fa5f, 0xe3821a89,
+    0x9de7759b, 0x42ba956a, 0x4fde10f7, 0xb495cf9c, 0xf4f5d83c, 0xfb690b14, 0x9158a28a, 0xfb2c7c11,
+    0x02b68194, 0xd7f939fd, 0x6192d729, 0x097e2e4a, 0x667e4289, 0xfb35b13e, 0xf99b51a9, 0xc01c4ef5,
+    0xc36e229a, 0x595ec01e, 0xa118c9a8, 0xca89485b, 0x3c8640f4, 0x8a3b5969, 0xab512e83, 0x91271fa6,
+    0x3a743dbd, 0x7f5b622e, 0x0255211e, 0x5a3af7c1, 0xebba26f8, 0x2e2ff5c8, 0xa9392ee4, 0xeae591f8,
+    0x19202ab5, 0x01bd7a3e, 0xba4e587e, 0x10a26265, 0x034fdeab, 0xe17c2568, 0xdd9e2b80, 0x2feb825d,
+    0xd192cb71, 0xc3aaac8a, 0x86b3d3e4, 0xff774379, 0x2ac3c210, 0x0e771d2f, 0x0ecee4a0, 0x0397dddc,
+    0x3df7626d, 0x0b160c59, 0xf7529dca, 0x2e7708f8, 0x82761777, 0xbd6ffc66, 0x7e6660a4, 0x69dbc18d,
+    0x1350ac3b, 0xbd46d44d, 0x7f445a3c, 0x0e9570b7, 0x89f9b659, 0x91c23ebd, 0x7402c9fb, 0xffa0c216,
+    0xe459b82a, 0x5d257806, 0x9fba1fcd, 0x57e9d276, 0xf9f0829e, 0xb38ab12d, 0x95997a7c, 0x8e449b17,
+    0x659c5eb7, 0xcb468547, 0x5ba727a7, 0x1edda3a5, 0xfde7a7f1, 0xa161a28a, 0x6e2e0f4d, 0xa40a501e,
+    0xcf8890a9, 0xe51e24c0, 0x05fb1e16, 0x5457f125, 0xbcce7882, 0x41a6f4d0, 0xdce3f688, 0xb61dd741,
+    0xac8f25e7, 0x7150c4a6, 0xd7994f84, 0xc07d4000, 0x02530b55, 0x7107ed71, 0x1dec252f, 0x67bcbf4b,
+    0xc8e0e618, 0x4b865895, 0xd79c690a, 0x66783fab, 0x145e878e, 0x281ee6ce, 0xd3dc6198, 0xe8db2b3d,
+    0x60d306d8, 0x93d325ec, 0x7cb35b0a, 0x7a6d2830, 0x877d5de8, 0x956fedfb, 0xd6f35d02, 0xb703ddc4,
+    0x23c32985, 0xd06829d1, 0x1c0a008a, 0xbd8f7800, 0x7aa8bbc4, 0x0b9e1831, 0xc288b3b5, 0xa3fca30f,
+    0x4341e5fa, 0x69a7f683, 0x82062f68, 0x39ff2a50, 0xa5800196, 0xa93eed81, 0x43c199d2, 0xa0cec064,
+    0x11a8f5fd, 0xb487b6db, 0x70f3318c, 0x87939dc6, 0xc03485a8, 0xb4f93583, 0x314038e7, 0x8f50566a,
+    0xefa0d8d1, 0x48404b6b, 0xc086f7ab, 0x6d82c681, 0xab7b7a73, 0x0d468331, 0x9557b5d8, 0x94e51fd5,
+    0x9112d802, 0x17bd83ed, 0xd69c7754, 0x2c4b1b72, 0x7d08ae2b, 0xf395ac29, 0xfc1cacef, 0xe394414e,
+    0x7eb643da, 0x7da54293, 0x82a03ae4, 0xc8f98ece, 0xba3a9155, 0x6f64bdba, 0x954c61f2, 0x4cd84eb4,
+    0x405e9f70, 0xa5b02a17, 0x630c0709, 0x45f92ff6, 0x4f0be97f, 0x79580af4, 0x65574b8c, 0xa8894f92,
+    0xe9e89383, 0x86205ac0, 0xa75276d3, 0xccb4df29, 0x97649c8d, 0x08b48cc3, 0xa833d2f4, 0x43aee2e3,
+    0xf27f5d15, 0x158b7873, 0xa24b954b, 0x75ea93de, 0x65281274, 0x70bf929a, 0x6dbbadca, 0x382a2720,
+    0x5f7fedd8, 0x9dcc60e9, 0x521ee14d, 0xf7971906, 0x6be449d5, 0xeffd9c4a, 0x6b5eaf21, 0x79da8c44,
+    0x69a0234f, 0x2ee691e7, 0x00e8ee23, 0xf1e20103, 0xdd8146ea, 0x94b35b24, 0x7be0c207, 0xaa2793c5,
+    0x8ffcfea6, 0x073e3f53, 0x4a832822, 0x948507e4, 0xd8a0ef84, 0x3b157737, 0x1dfa34e9, 0x243a6d6e,
+    0xc4139bba, 0xa821b6a2, 0xf63ab374, 0x7377039e, 0x2e050f46, 0x84d6da97, 0x66feaf95, 0xbc7b47ec,
+    0xcd621bd6, 0x7ffc82b7, 0xe2877c7b, 0xe871ae0f, 0x65cafa1a, 0x4074b138, 0x038ee30d, 0x11b59db6,
+    0x366916ec, 0x26fe7f19, 0x9684aaa3, 0x63f999ae, 0x9296f6a4, 0x42a7906d, 0xe512e054, 0x45b3f220,
+    0x87b12e17, 0x2bdff673, 0xbbd58211, 0x3bddca3d, 0xa8129f72, 0xbfe374fe, 0xc42b593b, 0x00277d16,
+    0x2a33e809, 0xb91afd75, 0x1c1e3c84, 0x213cbc0b, 0x99f84917, 0x85bf694e, 0xfefbaa22, 0x232a2490,
+    0xfeea7863, 0x50022f65, 0xc2ee555c, 0x51d7f5b1, 0xb3270984, 0x742e653a, 0x43638f61, 0xab0a4a7f,
+    0xefdcc35b, 0x50a22980, 0x81155c85, 0x9a16a864, 0x466e147c, 0x024c8d72, 0x2c958ea3, 0x58d693da,
+    0x2fb8a628, 0x9319a82c, 0xc051b13c, 0x1d401d37, 0xdc184a18, 0xa697b8fa, 0xa4da0a19, 0xe0ea00d4,
+    0x98a57262, 0x87fc7040, 0x1dca526f, 0x859f88e6, 0xdcdf9ee5, 0xab12c6ec, 0x230892c4, 0xd0a67a2a,
+    0x977add78, 0x95b4bd1e, 0x9c75c856, 0x50c78483, 0xee064621, 0x2cf7a3ae, 0x5c0bd77e, 0x7c73f919,
+    0xf5835e2b, 0x64051d8d, 0xd8e6f58d, 0x3b4db127, 0xeb5ffb04, 0x129e9b24, 0xdb809e1c, 0x9cace564,
+    0x5ece2ca4, 0xc6bc1b58, 0xf9216a8c, 0x195562f6, 0xb146faf7, 0x62e06ccc, 0x2f1c4df1, 0xeeea73c0,
+    0xfbcfd1a8, 0xfa30a890, 0x242d31a1, 0x90a74e9c, 0x0fb443ce, 0xbfceb1cb, 0x994eeb4c, 0x12a45767,
+    0xd11ae81a, 0x7204196d, 0x0f34ca01, 0xc9e75487, 0xe0192d06, 0xb4ecb2aa, 0x4c04c5c2, 0x17c8981f,
+    0xf4225f91, 0x3c046638, 0x27bc7e09, 0x096429b5, 0xff5d0cd6, 0x7db02725, 0x0ac742d0, 0x475ed067,
+    0x8b6247cf, 0x98f37275, 0x0b4f8535, 0x8e038e53, 0x33d9972f, 0xbe0dd697, 0x343272ea, 0x19a3b2dc,
+    0x40850ef4, 0x3966e2c6, 0x5556e07f, 0x9f1e5ecc, 0x58dc7a14, 0x524962ec, 0x3e48490d, 0x6d71ddbe,
+    0xc9900380, 0x7edb2ba5, 0x89406956, 0x6911ca50, 0x74b5e95c, 0x02834b91, 0x7b527e8c, 0x5fe8a31e,
+    0x2f959672, 0xbb022526, 0xf8b119d9, 0x95601403, 0x8916910d, 0x69ede583, 0x02563eed, 0x7d03772c,
+    0xe99c1337, 0xc7187d6d, 0x2cb77bd4, 0x82792e5d, 0x6eb69ff2, 0x18889914, 0xbc198cd2, 0xac8760f8,
+    0xd1775ba2, 0x7ed09988, 0xc2da001f, 0x3ee26c44, 0x1f4740f8, 0xc9f679f7, 0xb57e3cc4, 0x7984ae26,
+    0x2f1677f7, 0x2fbe4be5, 0xc7d76d84, 0x855574a8, 0x8986de00, 0xceef7058, 0x0ee60893, 0x8a961d83,
+    0x548df731, 0x5c8fff1e, 0xf43f1772, 0x3f4980b4, 0xaa932fb6, 0x3f918144, 0xed3de400, 0x605e360a,
+    0x315205f7, 0x03df47fa, 0x6f6ebd45, 0xcfbadb2e, 0xf9c75fe3, 0x1f67a680, 0x49f347c3, 0xe97c9560,
+    0x041db49a, 0x20721b08, 0x95fb0aa7, 0xa7e91fe0, 0x0de68e95, 0x067abe25, 0xc7f41496, 0xdb6ce159,
+    0xf781a5df, 0x3857d7a3, 0x7468ce51, 0x9899db18, 0x10d036a8, 0x656323ea, 0x72c7af1e, 0x1fde0654,
+    0x551c6e15, 0x569eb845, 0x0f983467, 0x214dd341, 0xa8562fd2, 0x44335891, 0x4fefe5cf, 0x996cad75,
+    0x84d4189a, 0x83451a55, 0x3729e004, 0x8d2ea1f4, 0x4a1c8948, 0x6ba2af5e, 0xa0e6154e, 0x4842f92a,
+    0xb931591f, 0xa3894aa0, 0xe64eb81b, 0x8704209a, 0xa3c57342, 0xe94a297b, 0x2c1d2a9a, 0xeb796156,
+    0x0845b744, 0xaf817625, 0xe12d3774, 0x5a453e00, 0xe02e777f, 0x7b433de1, 0xb0281cff, 0xe1dfe936,
+    0x41e16350, 0x58f8cb28, 0x56c93962, 0x8360cf4d, 0xb61fcc06, 0xb68897a0, 0x740fb938, 0x5068e004,
+    0x8b8139a9, 0x33b14742, 0x6a9194ea, 0x6925f1db, 0xa6fe71ce, 0x687c8860, 0x5d91083c, 0xf1a1b529,
+    0xd40eb15b, 0xfc75d0ac, 0xf1840744, 0x143c47ce, 0x5da714e4, 0x583aa5fd, 0x2ec84129, 0x4cd512cb,
+    0x577913a4, 0x86f1c0e9, 0xaded7c9e, 0x03b35cc8, 0x86e37bb3, 0x6889b769, 0x9cd08e26, 0x2f2ba08a,
+    0xe20b4184, 0x23e99133, 0x214e990c, 0xd712b55b, 0xb4010d3b, 0x0af2f5f8, 0xddfb9015, 0x2549bdc5,
+    0xa2572730, 0x5a42bf7e, 0x810846ed, 0xa649f304, 0xd0bf24b4, 0xfe24de59, 0x3dfbf68e, 0xc45fcb60,
+    0x7d5cae66, 0x976a1e74, 0xb130f67f, 0x829a2b3c, 0xd785ff22, 0x6729e608, 0xd7cb1eef, 0xf707e02c,
+    0x8206c45d, 0x0bebb9bd, 0x23c8c1f1, 0xd4562b1b, 0x2fa803db, 0xc316efb6, 0x6a55164a, 0xa5dcf894,
+    0xa274f1a3, 0xb922e058, 0x7e35a976, 0xf0221550, 0x52c174df, 0xc8c3e741, 0xc7754a70, 0x89f89fad,
+    0xed3f01a6, 0x7d02db2a, 0x235bd2f3, 0xdb2b58db, 0x9616e5b1, 0x708b8369, 0x60032f3c, 0x85d9fa49,
+    0xbe3efb85, 0xe64e338f, 0xa86433de, 0xaa32e712, 0x5bbecab3, 0xb55b1c64, 0xd2e30f0b, 0x0390e18d,
+    0x91d9d77a, 0x484db2c7, 0xed54ddeb, 0x30eacfef, 0x2e611caa, 0xee49e1c1, 0x9009f3c9, 0xf2f3a45f,
+    0x49f27952, 0x4ed775fc, 0x3461fffa, 0xe26ca606, 0xd05ddbde, 0xac7cb3f6, 0x64bce4a0, 0xddd0467c,
+    0x00000000,
+    0xfffffe55, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000128 */
+  { 0x00000000,
+    0xcc357fc2, 0xbb3cdb95, 0xb89b3fcf, 0xb5df1ea0, 0x3ee150cc, 0x34967d78, 0xbfbecf24, 0x68e16529,
+    0x5329162c, 0xd46c62b6, 0x9cb27552, 0x05ba787f, 0xe9c7841c, 0x03b79512, 0x784f2a15, 0x63ffe7e9,
+    0x113ab73d, 0xe84e9c8b, 0x9b35e67d, 0x0cf617d7, 0xd3fdd4b9, 0x82963052, 0x258c9c8d, 0x6a01a876,
+    0x0a34be3b, 0xcdf1114f, 0x2fee6b66, 0xb95c6023, 0xa224c58f, 0x16e2513e, 0x46e287ef, 0xc35d8e49,
+    0x407e48c1, 0x4dc26747, 0x04e63474, 0x8195a116, 0x1e90158f, 0xcd17b090, 0x96df9971, 0x1d8cb7e0,
+    0x873b0eb5, 0x0da87cbf, 0xd4760670, 0xb7fe7716, 0xf61b96ef, 0x443fd4d0, 0x886423a9, 0x9e90ff33,
+    0x904634bf, 0x82937820, 0x5ff85972, 0x9c997873, 0x83e4f3fe, 0x64053790, 0x2c208ab7, 0xc1f9e913,
+    0x79539f6e, 0xf7482d24, 0x5fb0f0b3, 0x47ea9abb, 0xf8e58fc0, 0xdfd57324, 0xdcd1480b, 0x521f4585,
+    0xbf93e75d, 0x0aac2092, 0xb678f894, 0x4919ba80, 0xa2dcc9f0, 0xa96b584f, 0xc0550dae, 0xad6d40a3,
+    0x0fa669f0, 0x921049ca, 0x909745d2, 0x5b2f40e6, 0xcf3f2fa0, 0x9416074f, 0xe3656397, 0xc9568445,
+    0xaafb300c, 0x44e1441b, 0x94581147, 0xf438c516, 0xb6da1eda, 0x3f68f23c, 0x58d77c20, 0x0e6b978d,
+    0xbf39cdf7, 0x79b4aae5, 0xbb0b50a2, 0x14cfd9a1, 0x2e652be6, 0xcc180926, 0x945fd9cb, 0x567c7c90,
+    0xe3482027, 0x8f99fcd2, 0xd2877b8f, 0xe6a5950e, 0x36cb919c, 0xbba12ef6, 0x43f8311c, 0x8c1c41cb,
+    0xc96357fa, 0x5b92fea1, 0xd8e8f9dc, 0xc87b8b96, 0x1b01902f, 0x54e9f180, 0xb30fa040, 0x5b3729b9,
+    0x50a3ad7e, 0xcc2620c3, 0x3628c9b2, 0xf4164b4e, 0x62fec072, 0x85f26269, 0x1909a72f, 0x22570fe0,
+    0x62c08a02, 0x928ed07e, 0xc24c51b4, 0xa9899aeb, 0x15f3ef84, 0xf3edd563, 0x36ce4e63, 0x00ba6901,
+    0x47eed17c, 0x13d3eb3c, 0x344cab5f, 0x8ea91f1a, 0x7f6ab424, 0x7a3288c3, 0x1d0f4c93, 0x2752db23,
+    0x3a72b3bc, 0x45a0a05b, 0x8ceb84f0, 0xb74016d3, 0x4b7265ee, 0x4a417cd5, 0x91838d6a, 0xbd0c1f6a,
+    0x2b7c8193, 0x250a131f, 0xf9bd664b, 0xeaa5511f, 0xbc818277, 0xddd7f98c, 0x3f6ecfef, 0x6bba3d6f,
+    0xf6a75f7f, 0xa885dd86, 0x44ca9114, 0x0b5000cf, 0x19e92940, 0x93ca5a7e, 0x35853fd3, 0x7e9c4ebc,
+    0x38326964, 0x44f2bf35, 0xff0e213c, 0x98024d81, 0x3b689345, 0x4255aba1, 0xf5e47142, 0xe8aa1b8f,
+    0x8a3f72a0, 0x15fc7961, 0x56c93269, 0x853e9455, 0x187c0699, 0xa7957fba, 0xa694357d, 0x1ad47481,
+    0x3011959f, 0x3d0c8a0d, 0xf2c94ebd, 0xd6f0a4aa, 0x971ca239, 0xd5e2d3df, 0x2aba64d6, 0x302a1cc9,
+    0x71d3b537, 0xe3e2b552, 0xfd68bc44, 0x0813dd2c, 0xccc75584, 0x603f9f94, 0xb7cddbb5, 0x05b5d14c,
+    0x0491f36c, 0x9af7bc5e, 0x498a8b1a, 0xfd4cf10c, 0x4c0d0002, 0x2a851e0b, 0x787ccdb6, 0x51497f84,
+    0x796b8a16, 0x95b11fb1, 0x1cbc0004, 0xfb3c5d58, 0xbf9d9e12, 0xb4488b10, 0x06c50057, 0x80095ed0,
+    0x7da5336a, 0x6f2d3d3c, 0xd42dcdda, 0x0b2a40fd, 0x7bffe632, 0xc9e763bc, 0xebb2e524, 0xc448a935,
+    0x4d1b2644, 0x574f4e48, 0x87511e95, 0xfd198cda, 0xdf328964, 0xbb00105b, 0xeefd6a49, 0xa2400658,
+    0x90c0b3a5, 0xf821591f, 0x06b28fd9, 0x67b1576b, 0xc589394a, 0xbcc6048e, 0xe3f382a5, 0x9cb6c446,
+    0x614cc24f, 0xea7527d0, 0x67466e3d, 0x9eb0fe52, 0xd5d876ce, 0xfcb55d64, 0xd97b3636, 0x08bafe56,
+    0x6528d7f0, 0x96bae127, 0x67618812, 0xb7192103, 0x480fb69f, 0x8c7bdb8e, 0x37a2966d, 0x496edfcb,
+    0xef082b93, 0x5819165e, 0x62841dd1, 0xfdd694cb, 0x1c068b69, 0xbd06083b, 0xb675813e, 0x7273a0e5,
+    0x1ca65405, 0x20ab98e0, 0xe2a5ccc9, 0xcb04c638, 0xdc14788a, 0xce078cbf, 0x52d56468, 0x30b46df5,
+    0x18794647, 0xb9ea80c1, 0x6c6697ba, 0xb1174033, 0x002bbe5c, 0x27fbec72, 0x5bcc77ef, 0x7466e8e4,
+    0x98d689a4, 0xaf3f54c8, 0x492840d4, 0x3a34110b, 0x0e6de0ad, 0xcaf4143f, 0xede6bb2b, 0xb1861e7f,
+    0x83beb0d7, 0x1bddef4e, 0x8661d17f, 0x8f636f25, 0x6db03ea3, 0xf65ea683, 0xc2e6eec1, 0x44650ac7,
+    0xdea9c501, 0x34f89615, 0x39ebf851, 0x04c6d5be, 0x92d8fbe1, 0x4a7b308a, 0xfd84f7cb, 0x02c6116f,
+    0xd5a4887d, 0xb6d8e2fe, 0xf1cf81cc, 0x025e0bc1, 0x7bc948c2, 0x84934d6b, 0x96b5ff87, 0x26db2e62,
+    0x761ebf2f, 0xcb8c7a67, 0x058156ef, 0xa33fb98b, 0x42bcb542, 0x43d0c24c, 0xa5faf17b, 0xe22d4f02,
+    0xdf0831a5, 0x86befef8, 0xca489146, 0xd46be5ea, 0x8c7b3df4, 0xa6ff3974, 0xbf3e8b01, 0x028b43ca,
+    0xb04f215b, 0xb97bd871, 0xeacd1083, 0x7e81e259, 0xb586f585, 0xdf2c29d8, 0xd0456b14, 0x33aad1ec,
+    0x1544e8e6, 0x2eca791e, 0xe2997caa, 0x8d1dbbdd, 0x8e712183, 0x91b0fa20, 0x11c806c8, 0x529fd22f,
+    0x7466379e, 0x8aa1b61e, 0xc5ae2f73, 0xbc82a0d8, 0x6c88683a, 0xd162e0c2, 0xa5675bf8, 0x6d9242cc,
+    0x18529af6, 0x71989fcc, 0x46d7a0fb, 0xc173ca14, 0xa0ede19e, 0xf57e0f50, 0x8ddc885c, 0x0aed63f0,
+    0x134696dd, 0x19df00ef, 0x6f18e2fa, 0x97ca83e2, 0xe13f5d81, 0xa1fdef49, 0xa70b27f1, 0x7095be1a,
+    0x361a95a5, 0x46b7b188, 0x12bfa0c3, 0xb705b276, 0xb050f46e, 0x04a5d763, 0xaeab896f, 0xd5f6b007,
+    0xf0dc74fc, 0x5979b863, 0x3ce765c6, 0xe271e195, 0x212d50e1, 0xcabc176d, 0x2997d299, 0x959201d5,
+    0xab9c64b9, 0xd0f79837, 0xc23e56fc, 0xf7846de4, 0xc78b8663, 0x8fe03459, 0x12c654f4, 0xffbe0291,
+    0xd011ce1a, 0x69a1f100, 0x0ef6f403, 0x35045e7f, 0xaf5f2066, 0xde680d33, 0x9fa11a4d, 0x92cbb353,
+    0xf80b57fe, 0x7f4477c7, 0xdfdc451e, 0x0f987b0e, 0xc22e6223, 0x2d1a19a7, 0x10d1e7f9, 0xec9c9976,
+    0x55e5af8b, 0x6d8a028b, 0x33ff4c29, 0x0f54ea57, 0xccabae38, 0x6d060800, 0xe3f1de2a, 0xe1db8ae1,
+    0x1249eb27, 0x36c1334c, 0x4828172a, 0x00aad46b, 0xa2e223ea, 0xebb44039, 0xbe881672, 0xb56ac1d2,
+    0xe51612b9, 0xc6ef4fe3, 0xf50ae983, 0xf1a1c7a4, 0x591bb89e, 0xf8a083ab, 0x631dddfe, 0x0f26df6f,
+    0x9243a633, 0x930f6963, 0x6c06c818, 0x2c37f348, 0x6e8c4ce9, 0x9f041bf0, 0x8b723993, 0xee69e0ff,
+    0x70f81f00, 0xe744f242, 0xbfb15a80, 0x11cb976d, 0x20090b86, 0x922d55b9, 0xf4bfe3df, 0x10d9dc65,
+    0x4f7d48c5, 0x761833ef, 0xeaa63d2a, 0x8a625650, 0xfd8bd33f, 0x623337c3, 0x8940fa66, 0xa325429c,
+    0x2fcde7b9, 0xcf5f7123, 0x122f7f53, 0x723a09cd, 0xb07f07a4, 0xd4d44cee, 0x67dfd5be, 0xa6e48039,
+    0x9f9850e5, 0xada31b2b, 0x60aba7cd, 0x2b8cb4ef, 0xf35325e8, 0x372b33f2, 0xb4b78818, 0x73e4b9a1,
+    0x99e652bc, 0xec4bfa42, 0x63629660, 0xb5132494, 0x6cf43258, 0xcbd48904, 0x1430b276, 0x3d8072e7,
+    0xf8bab9fd, 0x039288d3, 0x11747718, 0x9ea2983f, 0xe0ca20cc, 0x202f570e, 0xd6933956, 0x39ec54f8,
+    0x0ef39d4a, 0x4cd05390, 0x5a69e103, 0xb9affae2, 0xa8753d36, 0x26609aea, 0xfce4d6c2, 0x236d3635,
+    0x9c6df8a8, 0x8ee51d27, 0xd269bb87, 0xb5bacb73, 0xa17f749b, 0x00e5e928, 0xbaeeffff, 0x15cb23a6,
+    0x2714e052, 0x12a334c3, 0x38ec6c57, 0x1d9a2f75, 0xd7ff2b5a, 0xb31667eb, 0x368e3d1f, 0x44508d1d,
+    0x3b20a7ec, 0x7e658f55, 0xe3592059, 0xee068628, 0x41b5b9cc, 0x473ff60d, 0xfe2c8909, 0x20a011e3,
+    0x0df617b7, 0xf8c4533c, 0xf96f9755, 0x711f4647, 0x545f9bfa, 0xd30d1bbc, 0xeb5b4a47, 0x78a9ff0f,
+    0xa854d0b7, 0x7127c4d4, 0x20b28457, 0x5cccad60, 0xfaed3d17, 0x984c7255, 0x5a0ef58e, 0xe8f3251a,
+    0x0e0181cc, 0x1e132b04, 0xdf455da2, 0xc165ae02, 0x95705661, 0x09d23a35, 0xa012741b, 0x5a9d8ffb,
+    0x1b46905e, 0x59de1218, 0xe7316989, 0x28e0af41, 0x691ec7c6, 0x48617d87, 0xb0603cfc, 0xd1450db8,
+    0x212e32af, 0x3a83d0e0, 0x7c112132, 0x6ea85c26, 0xe9ddafd8, 0x9178c97d, 0x1ad0ad90, 0xcb8b4744,
+    0x0f61ea47, 0xcfb24d9a, 0x61c43350, 0x44d9402d, 0x740a950f, 0x9d1689e6, 0x384566bb, 0x093219c7,
+    0x6cb3469b, 0x5ee30e43, 0xc6bc6dc1, 0x51250886, 0x7349817d, 0xd4936b2c, 0x6f3f9b48, 0xb12b6c99,
+    0xc2bb514d, 0x2c76ee47, 0x0237256d, 0xf1b6810a, 0x4761476e, 0x859eb9f1, 0x0e12525b, 0x1e112840,
+    0x7e0192ff, 0x3a5abcb8, 0x247af28d, 0xcd716f2e, 0x94b069c3, 0x1d8d8220, 0x7d16208d, 0xfd5f3d28,
+    0x04a204ed, 0x131f764d, 0x87e6901b, 0xe8dd191c, 0xdf1b9a69, 0x30e6c033, 0x85a4d878, 0x89d2350d,
+    0x5795f5ae, 0x99802457, 0xd54a94e2, 0x0844f618, 0x5cf56949, 0x0d18d252, 0x0c1b67fd, 0x3331bf48,
+    0xd4ee6728, 0xe9c344f8, 0x16c628a6, 0xf2c3a9f9, 0x709c5946, 0x4c9aac88, 0xc03c4ada, 0x3b4e47dd,
+    0x60d48957, 0x1cec5762, 0xb58793dc, 0xdc91e6b0, 0x7cf57f24, 0x338d881c, 0xb407a702, 0xbceb788d,
+    0x793d5888, 0x3bb9c2ca, 0x121eef2d, 0x1f45dd32, 0x1bfd15a8, 0x01e55510, 0x5afe686c, 0x14fd1cda,
+    0x5b784a2e, 0xe763c2ab, 0x57ec4445, 0xe4b02dfc, 0x41d98ad9, 0xebaf1f8d, 0xf88c696b, 0xb2f6b28f,
+    0xfce4db53, 0x57ca0d5c, 0x9e23220e, 0xa9e7b321, 0x42ec4eda, 0x4ef2c500, 0xa54c2743, 0xa5cff2c8,
+    0x04b835c0, 0xbbc61751, 0xabf49679, 0x50512a9e, 0xe2d6e302, 0x3e849986, 0xd7e12466, 0xbb04d292,
+    0xb3f86b40, 0xfb8278dd, 0xdfa02e9a, 0x39111248, 0x5cb72eea, 0x2a83c290, 0x717afe00, 0xebe636b7,
+    0x00315525, 0x3e449828, 0xcd50062f, 0x020f0551, 0x84e653d0, 0xdf8153db, 0x8dc0a355, 0xd2c96c90,
+    0x9d056100, 0xa80a6472, 0x5ea7bea4, 0x03d75cff, 0x8c43eb97, 0xe66785d0, 0xf2b6c035, 0x26be340d,
+    0xe5627f3a, 0xd8055424, 0x5f66700c, 0x168c2f8f, 0x5d401ba3, 0xa9f11be9, 0x74f6f231, 0xbf6f0622,
+    0x39507319, 0x8523ca8c, 0x1127b733, 0x0504ad22, 0x63989ee3, 0xe19e4740, 0x244fa6a2, 0xb6208eef,
+    0x263e2fe7, 0x19662b40, 0xc36557ea, 0x3fc89901, 0x2cbf6521, 0xdc3386a2, 0x9128fe0b, 0xc62cb19c,
+    0xafbb950f, 0xdc14761c, 0x0ca75639, 0xdea92cd7, 0x038dd438, 0x1acf89d8, 0x3431d51d, 0xa825b692,
+    0xa743f7bb, 0xd056a2b2, 0x9b2e4827, 0xd9192437, 0x17a68928, 0xbd89311f, 0x228ebf31, 0xad14efbf,
+    0xd8de4d00, 0x9d1dfe5e, 0x8ba80fd4, 0xdd743c5d, 0xc59ddb6a, 0x9165f789, 0xb0ceeb90, 0x7e2ea4b9,
+    0xf0108752, 0x39c35950, 0x7da002f3, 0x78822949, 0x9151dd89, 0xf8e380c1, 0xd3b03da4, 0x3b642cfe,
+    0x68ff6bfd, 0xa05f1e47, 0xaf9b8ec4, 0x05db3684, 0xf7d41696, 0x7d97c0e5, 0x159d96b1, 0xedc507c3,
+    0x6de5f3a0, 0xe3931f81, 0x80e33c64, 0xcfa29e5f, 0x84847351, 0x433c50c7, 0x2224c9d4, 0x5c5a2d36,
+    0x014f1a06, 0xb31586b0, 0x97fa2353, 0x62037a44, 0xa0a66203, 0x4eec6208, 0x73a9734f, 0xa62a3952,
+    0x978bdbd2, 0x10ed526d, 0x50d1de76, 0x5bcafe6f, 0x5f5448d9, 0xcd821cee, 0xd8eba066, 0xac243c5a,
+    0x8c3c8991, 0x83e6697d, 0x7033e2e2, 0x69239f84, 0x120dd503, 0xac6a15fb, 0xf087ef9b, 0xfc068db9,
+    0xadbc5e50, 0xb26a1e93, 0x4f104b19, 0xd941e79d, 0xe584438c, 0x5681d91f, 0x779da996, 0x64f3351f,
+    0x94f234b2, 0x38b274a1, 0xa9b3aae1, 0xa958d623, 0x326bfa00, 0xf056b6e6, 0xeb63e06b, 0x3cf9938d,
+    0xbbc13c62, 0xc9fa860d, 0xd1a5d065, 0xcfbd1f0e, 0x1323ef20, 0xa994172d, 0xa5acd8a8, 0x942003d7,
+    0x89f5609e, 0x9d1a4c37, 0xe8edc2ac, 0x0abe1a22, 0x782f2001, 0xafdc74e6, 0xd6f2d4c8, 0xbc87bb2a,
+    0x9a3d95b8, 0xf795190e, 0xa19ed882, 0xc9497465, 0x9feeb4f1, 0x8f8622d1, 0x7aed1a72, 0x530490dd,
+    0x2cddbeee, 0xd305afad, 0x50479e0d, 0xb6d35d8c, 0xc485f15f, 0x7a5ce2a0, 0x77b570c6, 0x62f262b4,
+    0x050e96a7, 0x9bf0e40a, 0xc5fc6bae, 0x84a75882, 0xc4fd0462, 0x1816b0fc, 0xac6b7837, 0x0d0d2d24,
+    0x7e3e00e1, 0x576fc1e5, 0xd94ad533, 0x8f9c6a82, 0x067a8482, 0x2e93cb97, 0xee010aa1, 0x201e5d5b,
+    0xc8f428d9, 0x2f1d68b4, 0x6e5a3cf2, 0x6b03c4f1, 0x83357075, 0x17ec601b, 0xcce7c00a, 0xfd4d55d7,
+    0xdd8e2473, 0x5b65edc9, 0x0f4c78c9, 0xb1454cb6, 0x3303278d, 0x913270b8, 0x08c31604, 0x3de38f55,
+    0xb9a9724b, 0xef81bf57, 0x07444d4f, 0x8470f4a7, 0x9b70f06e, 0x50f9ddaa, 0xcc3fd4e0, 0x3b0bf83c,
+    0xf3c96e0a, 0xf3effcfd, 0xb5ea187b, 0x20548084, 0xd35ffe3d, 0x73c78ee8, 0xca71cb12, 0xf29016f1,
+    0xf7a65b6e, 0x39a7e7e0, 0x0aeeac7e, 0xe4373062, 0x7fcf53b0, 0xe2ad5ac9, 0x7c187548, 0xa6fc388b,
+    0xab7d1e39, 0x3d7c61a7, 0x45d2ce8d, 0x08901c06, 0xb6a92f57, 0xa89e6415, 0x85832ed5, 0x0f414231,
+    0x856fb0e8, 0x333d3ada, 0x738dce0f, 0x9f56f292, 0x54813d82, 0x9c05efaf, 0xc9ef900b, 0xd4c3066f,
+    0x3340f20f, 0x0678a27e, 0x0b6e4e59, 0x0ce052fa, 0xf181b8bc, 0xe220da17, 0xd0261fac, 0x793d33c2,
+    0x438dc608, 0xb63bb2ef, 0xdc667e01, 0xa641cacc, 0xce0a6928, 0xd1d23fc1, 0x0520c557, 0x2dbd9317,
+    0x6b660da8, 0x612045af, 0x4b3d7d0b, 0xad68dd94, 0x87927937, 0x64ed6158, 0xb61e7c1d, 0x740c8a69,
+    0xb12e1e7b, 0xd5733e27, 0xf1ea8871, 0xd3371499, 0x5d399c20, 0xf211c433, 0x4141fb7f, 0xf2cbca4f,
+    0x37d331dc, 0x800e0bce, 0x20f94401, 0x57df146a, 0xe292fe10, 0x79eb75fd, 0xee349f44, 0x28cd4078,
+    0x3524e0e0, 0x65a8bd4d, 0x129e06c8, 0x560df0d7, 0x3b715a22, 0xfac76395, 0x316b117d, 0x7bb88bca,
+    0x22e608f7, 0x3fe136b1, 0x2de3f167, 0xed05b5eb, 0x94da9e93, 0x00fa0f4a, 0xfd066300, 0xd0b4865f,
+    0x6aceafe7, 0xa519adf3, 0xfa10b7e7, 0xb3ae156e, 0x4e4dcf02, 0x7f2f4934, 0x8dfbbca3, 0x43b26c0a,
+    0xcd5d64ae, 0xae13b4e4, 0x335da88c, 0x4b7770c2, 0xf73a2808, 0x92cf4c02, 0xab3499db, 0x38e8a42a,
+    0x2373e10f, 0x36f6ace0, 0xc6ebef17, 0x3235a82f, 0x50c318fd, 0x42852e42, 0x62e39de7, 0x9d5de9f2,
+    0x0a832f06, 0xe5d11252, 0xdf967c27, 0x5596b426, 0xcb92b3f3, 0x448a7db9, 0xb8834912, 0xff5db50e,
+    0x3c91c562, 0x56a80bfc, 0x64d3326d, 0x6dd4f170, 0xf189ba82, 0x946a014c, 0x502b9457, 0x1c70a650,
+    0x19b7ccc7, 0x34f056f1, 0x3c51e6c5, 0xed90e0ac, 0xac3e5db4, 0x0e64ecdd, 0x10215c1f, 0x952506ec,
+    0xa510b02a, 0x20a045fe, 0xf4823361, 0xeeb11bea, 0x6669a035, 0xe4926e2d, 0x025d1129, 0x6f203147,
+    0x938cfb3f, 0x0e128b5d, 0xd90aab31, 0x2a1fee40, 0x47b36224, 0x3f2398d7, 0xa539e9a5, 0xa87fea27,
+    0x00000000,
+    0xffffff2a, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000064 */
+  { 0x00000000,
+    0x49521cb7, 0x8931ab60, 0x92d4d346, 0xa9124508, 0xff8be161, 0x7cd62906, 0x2759a985, 0x59e2cbd4,
+    0x489f76b3, 0x9bfc2fed, 0x233e8b89, 0x0fdb1f74, 0xc27a8257, 0x3d0dd0b4, 0x6bb9a146, 0xc82c3315,
+    0x731840e2, 0x11e95afb, 0x68093963, 0xcdd48379, 0x6768db60, 0x43f75491, 0x99f126f0, 0x20644c97,
+    0x28134115, 0x5687ce82, 0x084c34c9, 0x5c44a6d1, 0x485146b7, 0x35b8e4df, 0x948340ee, 0xbb4d0aa7,
+    0x369f0398, 0x4a7d740d, 0xe9a7e8e8, 0xc2286ba5, 0x85c5cde9, 0xd011658c, 0xd7012a34, 0x4e15828c,
+    0xe8f678c0, 0x4f9a9aa1, 0x3134c370, 0x4fdd452b, 0x13ca79db, 0x78b34c1b, 0xec202a27, 0x46027933,
+    0x96f0eac6, 0x624935df, 0x462e804b, 0x23553d53, 0x71cedb6c, 0x8e3be08c, 0x0b5aa1fd, 0x394e5fc4,
+    0xfae5de64, 0xb16a0c78, 0xd3f93e8a, 0xdafb9625, 0x05a0107d, 0xb22a29cb, 0x75980ab3, 0xe826bb06,
+    0xda193181, 0xa6057afa, 0x6a32bbba, 0x387519f4, 0x0f8ca274, 0x3764581b, 0xff53288d, 0x9fa22550,
+    0xc1a29d04, 0x734363f2, 0xcc46005f, 0x8050417e, 0xbd3c5ba8, 0x30032b0d, 0xa52e60af, 0x687c95f6,
+    0xc7c22a27, 0xdbafdeee, 0xf66a7109, 0xdf4acd41, 0x641fc966, 0x14980af8, 0xf7b5ec99, 0x6782d0cd,
+    0xf457d87d, 0xc0c05d4a, 0x1c4c819c, 0x20cb71d1, 0x105be761, 0xef573068, 0x8c897098, 0x8b273569,
+    0x965dbac9, 0xbb29bc6d, 0xb07d2b8a, 0xa1507a34, 0xe979faa1, 0xec38c280, 0x50d304ee, 0x47219848,
+    0x162b4e02, 0x78955bb3, 0x18a9b807, 0x13474f76, 0xa07e1316, 0xc02ed7fa, 0x498d60d2, 0x543afb43,
+    0x993588c9, 0xac963a31, 0x32fe0182, 0xe3bcdb61, 0xe48faefa, 0x6ab87394, 0x00cf617a, 0x76559cce,
+    0x74820ef6, 0x4ebb77a4, 0x400570b3, 0x5fe74d1b, 0x345a54d0, 0xaab897f9, 0xb9842d55, 0xe0bf8e78,
+    0xc9ebde70, 0x5d715d9f, 0xa7cafcb8, 0xe3ffae25, 0x68bf073b, 0x3932131d, 0x6fb30104, 0x63224c85,
+    0x7740f172, 0x1898f3ac, 0x9315770e, 0x88b598b4, 0x563e53aa, 0x85489ccd, 0x34ec3c3e, 0x5751212d,
+    0x05c9f32d, 0x233aaf8b, 0x8be2c646, 0x36dd2eb2, 0xbdad4127, 0xab8ef9dc, 0x20ba2a76, 0x64898884,
+    0x2276ad19, 0x6f6b0fa2, 0x9bbd1f30, 0xcd6ce8ea, 0xfba10eea, 0x4e4c6d24, 0x3ee2c475, 0xb07d039f,
+    0x68d35691, 0x6f1011f7, 0x90df107f, 0xbb9cf75f, 0x93141ea8, 0xd4e9c569, 0x2827c70d, 0x95d4a321,
+    0x0093299d, 0x33747f3e, 0x0d63d77a, 0x6e171852, 0xfbb6a87c, 0xf4962bf7, 0x20f8a615, 0xa12404c0,
+    0x569c849c, 0x79652a04, 0xe1dce702, 0x4677ba35, 0x66fef807, 0xe2c2e4aa, 0x2ea0115c, 0xd029f883,
+    0x2709e75e, 0xfd3c19d2, 0x27e3dae3, 0x64d1226a, 0x5367b704, 0x7fe733a2, 0x1ac7fa4e, 0xdb0f8e6e,
+    0x84fb920b, 0xa33e6ae9, 0xe0fb36ca, 0x88d43cbd, 0x8aaba8ae, 0xf13422ed, 0xc683aa60, 0xa1cc6440,
+    0x8434e9e2, 0x5c093d23, 0xd792b25d, 0xa47fcb45, 0xa2190606, 0xedb19255, 0x0127a93c, 0x378ead5d,
+    0x3464e93f, 0x1971b6b8, 0xa6c0fe7a, 0xfae67025, 0xc1903423, 0x1cc07800, 0x1453aa97, 0xd21fc1db,
+    0x82d817c8, 0x6bbc3f37, 0x4555e9c2, 0x0788d215, 0xfa28519c, 0xa657700e, 0xadc0b9e2, 0xd491ccd2,
+    0xf62e3db4, 0x1ca90ba4, 0xe52f2ef1, 0x173bc3c7, 0x731328b3, 0xbce102fb, 0x0f9e9eca, 0xe438b3e5,
+    0x8d16f327, 0x9b06f22a, 0x29500c5e, 0x317ebbdc, 0x8c0b2f90, 0xc2061f1f, 0xbb89a8f9, 0xfcead321,
+    0xebef1ec4, 0xffdc577f, 0xfd1aa570, 0x29ba5c68, 0xc4fb5c2d, 0xa71709a3, 0xde19bd18, 0x77a9ea27,
+    0x07020971, 0x6b0eece9, 0xc31c33bb, 0x95c51295, 0x79367487, 0x38e977ca, 0x00595e59, 0x7c8ae3da,
+    0x64ff03bc, 0x2170aabe, 0xad8c0092, 0xe30529c5, 0x74a6dc04, 0xc632360a, 0x158ab89e, 0xb99e070b,
+    0xf55973e0, 0x6b13ee7b, 0x5fa5d3e4, 0xe27c9e26, 0x1c2d9068, 0x5126d32e, 0x3b64a7e6, 0x2fb05024,
+    0x63eb6b11, 0xc39884bc, 0xfce62bf5, 0x97646169, 0xd0aff4a7, 0x926a6d12, 0x9aecde93, 0xdc9a55e7,
+    0x734f82a9, 0x9831fcde, 0x3fde439d, 0x716c4147, 0xb2d56548, 0x3c8129d7, 0x738c9002, 0xf59fb2ce,
+    0xb577a999, 0x90873a74, 0x3077e2c3, 0x5c326de4, 0x5e6bcddf, 0x0ee00a47, 0x3c4495b0, 0xaa00ac62,
+    0x02360acb, 0xfcfb6098, 0x61b5d83d, 0x3242ec6e, 0xdc23c09d, 0xcb63419d, 0xa0ab4cec, 0x302fb451,
+    0xa2c8e698, 0x9ec282af, 0xba3fdb4f, 0xd961b42d, 0x979c3d96, 0xd18fa92d, 0xa3b43ed6, 0x4c5d685d,
+    0xeb46f1f2, 0x63c473c5, 0x68bbf2bd, 0x9dd9644c, 0xd06a1593, 0xf730b39d, 0xc4bd1d85, 0xa585325f,
+    0x417dc55e, 0x19395dd7, 0x355a2fa3, 0xc7353a4c, 0xa637eea5, 0x99ab8453, 0x93e595cf, 0xe6400b95,
+    0x9b59d6d3, 0x8f230d3a, 0x7a41cdc6, 0x4fc12c6a, 0x15a6a61b, 0xf5feb990, 0x7845094d, 0x84caad39,
+    0xef4bf1c7, 0x5083834b, 0x16769c73, 0x6c03aeab, 0x5c165b3d, 0xbd46f17c, 0xf59a1edc, 0x914cb168,
+    0x527007f9, 0x4ea39819, 0xcfcfcdab, 0xf133b687, 0x78e55b9a, 0xaa51dbc5, 0x47c93883, 0xe7b32546,
+    0xa77aa61d, 0xed70785b, 0x3bf49051, 0x2978ded5, 0x0292b753, 0xeb977a5f, 0xadadfd28, 0x1afdb2d9,
+    0xa2b5e198, 0x9be02767, 0xfa360283, 0x826bde33, 0xc956ba55, 0xfabe43d4, 0x8b4d54dd, 0x64ca0c26,
+    0x2313c870, 0xab0d8e0a, 0x43e99ed6, 0x253c4f07, 0xff28519f, 0xd64739e1, 0x7bc6c76e, 0x5ccceba2,
+    0x4f26a34f, 0x13228835, 0x390d97b2, 0x33bdde14, 0x2f261b2b, 0xec34079b, 0xf0519800, 0x981e8313,
+    0x82fd37f8, 0x76e3296d, 0x48d604cb, 0x65e300b3, 0xa8ebae17, 0xacc05464, 0x3bb5bdd9, 0xef961336,
+    0xa2926347, 0x00d36ff0, 0x9188a94b, 0xd3c79d3e, 0x99050cad, 0x4683dcb9, 0xdb0f4ca4, 0x3db06247,
+    0x8d8f79be, 0x3830e006, 0x1942921d, 0x2d147415, 0x0f7190ca, 0x7e18b517, 0x8e6073c2, 0x7cb0b32b,
+    0x25cb15b4, 0x57d40727, 0xffe1ad1e, 0x5c0ba1ef, 0x8235e38e, 0x44f2563c, 0x71a23892, 0x716e49ad,
+    0xd239776b, 0xd0f241be, 0x05d6bd44, 0xcbc3a885, 0x8082a325, 0xa02e8360, 0x9ce8c414, 0xc2a894d1,
+    0x3824be33, 0x090ca6e2, 0x5352036c, 0x5852598e, 0x183ec6aa, 0x73b6b586, 0xc0ea68f5, 0x4281249d,
+    0x1d993cac, 0x0c4fef1d, 0xf0f04b96, 0x3728f94f, 0x704ae0f5, 0x0c65a93c, 0x0e79c16b, 0x3005a87d,
+    0x2330818d, 0x54b78bc9, 0xf4c855ee, 0xe6a1b140, 0x3810fff6, 0x99049d9a, 0x3019f56e, 0x7aee27f6,
+    0x73a3fc16, 0xb7a7de68, 0xccd3f066, 0xce598af3, 0x32da4010, 0x04791dba, 0x4b588cdc, 0x2aa8c14b,
+    0xf6ec7bcf, 0x55b0ea4c, 0x208d3ef7, 0x1d600fd5, 0xc1d6483c, 0xc56b37fe, 0xe42bfc1e, 0xb8a6ea90,
+    0x826f558f, 0xf3c52d2c, 0x31679e9b, 0x9ff9499d, 0xc6ba0362, 0x419920ac, 0x31ef6a69, 0x04982ae5,
+    0x028b0b01, 0xd386d7c4, 0x477cf86f, 0x18b46904, 0xc0c820cb, 0x2bc42b4e, 0xd2e125a2, 0xc33aba43,
+    0x6f472e8a, 0x35466765, 0x647a3c48, 0xac8f4b2a, 0xe2c3d60c, 0xc1c2748a, 0xc09fc418, 0xffeafea0,
+    0xebea004f, 0x0aa4ecb7, 0x4df96d69, 0xb0612e93, 0x0a434a14, 0x52e5b755, 0xf2b86e5c, 0x270a9f8c,
+    0x757b7029, 0xd78e7271, 0x37c70fde, 0xd993d6cc, 0xca2aee2d, 0xc524344c, 0x31b00944, 0x904cbac4,
+    0xc30d4476, 0x68dd8013, 0x3719e051, 0x6af60137, 0xa188f8a0, 0xfcce8058, 0x24b2b835, 0xd4956299,
+    0x2f142826, 0xcbad2463, 0x8b039971, 0x629b4994, 0xea0fd31b, 0xcfea579e, 0xd20fbb3f, 0x918ce892,
+    0x55f41a1d, 0x73b0f363, 0x85fe3e81, 0x3fe81fa3, 0xb5efc9c5, 0xc5cdea7f, 0xe084123a, 0xe604c8a9,
+    0xc7821147, 0xdb58f6c5, 0x30f489fe, 0xcc4a29ac, 0x3d2d1604, 0x5d1aab35, 0x19dfe7da, 0x312a6f3d,
+    0xd2a8365b, 0xf60b66ee, 0x01180311, 0x5531309f, 0x4f2d7be2, 0x93167096, 0x8c7d22e5, 0x5afe6695,
+    0xdac52aac, 0xd22e4bbc, 0x2e062a9f, 0xf82d45f5, 0xa78fa43a, 0xb7348e32, 0x50c60522, 0x0d5a4247,
+    0x873d0338, 0x8aadd5da, 0xdb15307a, 0xd6045a75, 0x999e90b2, 0xd67df069, 0x7f60d937, 0x650d7124,
+    0x1e1b63a6, 0x974be652, 0xe0c67503, 0xf2ab12c5, 0x4bd86418, 0x9642d30d, 0xa7a83fad, 0x8e50d291,
+    0xff204a40, 0xa64c8080, 0x8ed37e15, 0x7996f9c8, 0x2ad5e00b, 0x37003b00, 0x60451c49, 0x18e6ed05,
+    0x8f8f4f3b, 0x5343396c, 0x7221a849, 0x6a8e8b16, 0x175badf0, 0x4bc991e0, 0x1865de01, 0xadd12a86,
+    0xd809d81c, 0xfeec0a95, 0xcb22343d, 0x0c71de06, 0xebf9e1a5, 0xb985f548, 0x2cc23876, 0x8d6c0adb,
+    0x49240c4a, 0x6bdf1eaf, 0xfe6c8352, 0xa5ea3e27, 0xf8d109b0, 0x3cb1797f, 0x0dabcd29, 0xad52f8d7,
+    0x69be3ce7, 0x35830089, 0x52bd23a5, 0x0bf17868, 0x1cbc8a37, 0x777eafc6, 0x54408f9d, 0x94e63de7,
+    0x3eb847b9, 0x0595e3ad, 0xfa96ed58, 0x9f846dc1, 0xb89c8e48, 0xaa8e316d, 0xc063e6aa, 0x04d3bff4,
+    0x39b3aeb9, 0x57c7ff93, 0x6d1c7cef, 0x6a2e92a6, 0xc32430d7, 0xad5c512c, 0x850909bb, 0x3e70d570,
+    0x1f24f95c, 0x727f9e94, 0x630a9861, 0xe51138f0, 0x5796e1c3, 0x58fe4f38, 0x4132e053, 0x305fdb99,
+    0x02c34cbf, 0xd32b5dab, 0x85394200, 0x6593993b, 0x8fd1d8a9, 0xc9f8df31, 0x35f3833c, 0x1b3ab952,
+    0xf2747572, 0x25ab8994, 0x21e1ecc8, 0x05ae384c, 0x54f116bd, 0x0a4513b8, 0xb46c5fad, 0xe5be327d,
+    0x408e700d, 0x577cfe5f, 0x4ea43469, 0xc8460937, 0x72e6163b, 0x134c65ad, 0x43559ee1, 0x90768f94,
+    0xa80bdddc, 0xf6d558da, 0x026c8f4f, 0xd8b807e0, 0xad573a27, 0xd803bdc8, 0xa7cfe727, 0x4209dffc,
+    0x459263b9, 0xc9394089, 0xea7f462a, 0xf7f9ac6b, 0xa6d66054, 0x0d085d8f, 0xdb1afc93, 0xf15daeea,
+    0x6d7a7bf3, 0x3c5ee07c, 0xa71f869e, 0x7bef44b4, 0x858f724f, 0xbe01de8b, 0xff4d17da, 0x565ef7bf,
+    0xd11b16c1, 0x6e9fcd38, 0xf6a7539a, 0x930ede32, 0x80d0c081, 0xd418d232, 0x0c33458c, 0x1dfa519c,
+    0xc4fce182, 0xdcc77196, 0x69308b93, 0xd3a77535, 0x094308c4, 0x96c2f255, 0xbfa39f1e, 0xd86263a7,
+    0xef6a47f6, 0xf2326f2c, 0xe06d6dbb, 0x1ed8b8aa, 0x4ee28678, 0xc732b501, 0xb5f0f44b, 0xf685ba9a,
+    0xae3793c7, 0x3331394d, 0xaee0dc85, 0x49cfabed, 0x7c8a3b10, 0xf70b360c, 0x46b2302b, 0x9b421eee,
+    0x4bba2488, 0x0e8f0669, 0x1c2f30b1, 0xdca5be65, 0x1d01e2b6, 0x5809434e, 0xf910cfb5, 0x16ced99d,
+    0x56b78498, 0xd80d883f, 0xef263ec3, 0x5b78c788, 0x02b32672, 0x8d109f37, 0x2662c51e, 0xe4e08264,
+    0xfd802721, 0x04018685, 0x147e31d0, 0xd8362060, 0x74fb21bd, 0x38613709, 0x5b83ad8c, 0xdf82b467,
+    0x98110e0f, 0x80539131, 0xb5c6f224, 0xb0ba83d3, 0x6c58693c, 0x7c59a75d, 0x1f86d66e, 0x54126f05,
+    0xa50c5131, 0x97628421, 0x8fbbf5fa, 0x002a2f67, 0x7b5c57f6, 0xdf2fae8a, 0x5dbbb972, 0xe8639f2d,
+    0xcbcb2738, 0x585ef732, 0x04854a5c, 0x10554606, 0x0fedeab4, 0x5fadc8e0, 0xed6cf4f5, 0xcd6bca87,
+    0xb2b2fa01, 0x77fb2c4e, 0x94e93417, 0x456a25f1, 0xbaac7ab3, 0x6e128e96, 0x91f7cd3d, 0x54686005,
+    0x032ab20f, 0x0e6720af, 0xb2ebe9b1, 0x6d3e01b0, 0x2a6efd29, 0xf0a6b779, 0xe96e0933, 0xff57f7ca,
+    0x1876b7db, 0x3c9da9fd, 0x809379fb, 0xf75189dc, 0x0f04aa6e, 0x843d1512, 0x2875b197, 0xe34f4423,
+    0x91343e27, 0x8caff7d2, 0x1a0600e0, 0x3412f19b, 0xd804c11f, 0xa3b2b2ec, 0x4cfd2e7f, 0x7916222b,
+    0x64699875, 0xf2dd1703, 0xd6ce00b8, 0x9b8ab771, 0x209f7564, 0x1d670519, 0x7bc7b06b, 0xba9d5234,
+    0xe66d4557, 0x04206a40, 0x487fe964, 0x9b88d0f6, 0x8c705603, 0x0e145e17, 0x173fd9ff, 0xf6d59a8e,
+    0x9863fd00, 0x4dbb5b36, 0x9db87b1c, 0xefb9d04b, 0xef0edf85, 0xfa7db1c1, 0x6abc5ad3, 0xa62f6827,
+    0x7ef7aa4c, 0x758f4197, 0x6f3bdfdb, 0xdebcc7b1, 0xea341e02, 0xcc9d5207, 0x10e8fa5c, 0x7c329cb7,
+    0xd27dcc56, 0xda80fd0f, 0x63338f0b, 0x0c1c1fa3, 0x05c2658a, 0x1316d61e, 0x3571d646, 0xfdf29893,
+    0x0ab5a22d, 0xf2c78f0e, 0xc03732af, 0x67785b3a, 0x163ebaf7, 0x5a725d49, 0x59583540, 0x231401c1,
+    0x114a92c1, 0x95593bf0, 0x7ea2074d, 0xe2108c62, 0xd77eb70d, 0xfcedce8c, 0xa025226f, 0x3c7d5870,
+    0x24882f9e, 0x91fbbeda, 0x12b573e6, 0xfd1126bb, 0xdfbd2093, 0xcad77f80, 0x495c61ca, 0xe5db2bed,
+    0x9137562d, 0x3ad51939, 0x7e1ef0df, 0x42a08b55, 0x6678cd08, 0x2386a8cb, 0x0d0f9314, 0x19bc5c85,
+    0x9742c26d, 0x0f13f171, 0xf23d4b57, 0x04e555df, 0x4470e318, 0x4d6600a2, 0x0c8ea2c7, 0xf42f80e2,
+    0x73018f4a, 0xa1cab089, 0x83b937d3, 0x003af818, 0x7a110528, 0x91945157, 0xa33f61f5, 0x59ca705b,
+    0x84ff5e4d, 0x3ce73085, 0x62b45421, 0xa4b29156, 0x57e9693e, 0xe3342abc, 0xef55ba38, 0x9f8200a2,
+    0x75263cbc, 0x3fe351ec, 0x61727b54, 0x0b23fad2, 0x72bb26d2, 0xe860863d, 0x45f89812, 0x0de512ab,
+    0xa45fda75, 0x91a4078b, 0xf7bf0d7d, 0xc27c3fac, 0x2312afdd, 0xd271de48, 0xb192bb01, 0x75feba61,
+    0x6d3a69fd, 0xa666831f, 0xc2015fef, 0x48e099ac, 0x7c18470f, 0x1a087ff3, 0x986cb5b9, 0x423f2f20,
+    0x0dac8593, 0x66244ddc, 0x008ba887, 0x8393f499, 0x43e84a54, 0x3423a916, 0x439a7729, 0xd009f103,
+    0x30d71750, 0x95b98af1, 0x85d78a61, 0x5ae1be73, 0x12ab3126, 0xb88f46af, 0x02d71bc4, 0xf426b91e,
+    0x8eee1ec2, 0x6bbbbe0c, 0x8fdbc139, 0x74a00f5c, 0xa4a009d7, 0x3d0d4afe, 0xd59d61ac, 0x3090a749,
+    0xa48792b8, 0x798d53fa, 0x16cef650, 0x5716e025, 0xd8cfa498, 0xd118ea65, 0x6cf66b46, 0xb59cb51d,
+    0x39c74933, 0x620b05e8, 0xb5c26573, 0x0f644832, 0x91b5f922, 0xca0c0598, 0x0d00e694, 0xe89daa06,
+    0xa80a5742, 0xe37796d0, 0x13e63e12, 0xbf5312ee, 0x4bd2561d, 0x79d88501, 0xfc36cfe1, 0x4b6a182a,
+    0xc509afe2, 0x13aaa9dc, 0xa4518094, 0x779329bb, 0xd1a115e0, 0x37b5aa9f, 0x0212ea28, 0x8d7b438f,
+    0x098818e2, 0xe2a31dea, 0x1b93f910, 0xbcf0cae5, 0x6e59a013, 0x8ca5f145, 0xdda00646, 0x7da0eec0,
+    0xf58a9a72, 0x87466c10, 0x08447b8b, 0x6acd2d8a, 0xc9ad65b2, 0x102e301f, 0x5fdc2f93, 0xdf3b83f3,
+    0xeed89eac, 0x4ae22624, 0xbe604814, 0xdbab57f7, 0x177e120f, 0xab3728ce, 0x7727ac4e, 0xf7c25fc9,
+    0xa0d48efc, 0xd94d6dd8, 0xc28efd14, 0xd185e627, 0x38a3b843, 0x3c7ede80, 0x162196af, 0x56760892,
+    0x87ad8e28, 0x59e338e3, 0x28ccd99e, 0x0b5b1aa0, 0xa5814af2, 0x67de18ed, 0x453994ba, 0xcfb11ead,
+    0x00000000,
+    0xffffff94, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000032 */
+  { 0x00000000,
+    0xe32b095c, 0x6302b7e3, 0x19a61ecc, 0x14cbf8b4, 0x2addfc8d, 0xfddf4b35, 0x39b627b5, 0x322a4e72,
+    0x6b103aee, 0x879eef02, 0xf274f99e, 0x4d8377ff, 0x8c22a414, 0xda28f42b, 0xba73e6ca, 0xf594f4c1,
+    0x685d17e2, 0x87e625e8, 0x4b05a63f, 0x2cf3d134, 0x7560637d, 0xe3e1a674, 0xd5b57c69, 0x4492fe8c,
+    0x9f8c97dd, 0x135439b4, 0x4c939acb, 0xd99f9e40, 0xee4d577c, 0xea4d80bf, 0x65a66552, 0xd0a32635,
+    0x8d25c4a5, 0x573a7214, 0x43a1fda6, 0x61645015, 0xc1f86515, 0x8cb3232e, 0x15c548ee, 0x87de32b6,
+    0x4e9a6434, 0x732bf2db, 0xfefcddd3, 0x54f6dde1, 0xfc7e7bc1, 0x27cc4200, 0xb71bf59b, 0x045eb81d,
+    0x6386e39e, 0x09fb380b, 0x46055485, 0x4acbb5b7, 0x5c48f85b, 0xd93f2481, 0x6712242e, 0x3ac97343,
+    0x713bd61b, 0xeed3f9b6, 0x672c87f5, 0x306689d3, 0xb92d3f25, 0x08e94181, 0xe88de816, 0x67189797,
+    0x67598ce1, 0x6f5de8ac, 0x62a0e140, 0x169720a6, 0x3ec66570, 0x52fbdde1, 0xb1e00d7f, 0x21563214,
+    0x3121b1ec, 0xab6db489, 0x3dfa1934, 0xd9cd5b61, 0x6aaacb6b, 0xc2687642, 0x09ef4527, 0x0c651ad8,
+    0x3758a6ad, 0xafd4eda2, 0x583243a5, 0xb03d25ec, 0x24378e59, 0x79e02266, 0x56932bb3, 0xadf5abac,
+    0x6c71eb27, 0x237a02b5, 0x6ed567f4, 0x89db44d7, 0x7db1c68e, 0x3e11ada8, 0xdee6c9c2, 0xf8c2fc9d,
+    0x79f24285, 0xa590841e, 0x5defb24a, 0x23eeeae0, 0x1fb702d8, 0x539bef5d, 0x5066fd92, 0xa9339b8f,
+    0xb9017095, 0x1c5ac57c, 0x360fbb64, 0xcf284301, 0x83f90685, 0x16f658c6, 0x3efecafe, 0x6f612226,
+    0xd15f1f74, 0x4804744c, 0x567e6f39, 0x93e31eac, 0x4709a720, 0xaac34e6e, 0x54086173, 0xcc795a12,
+    0x26037e1f, 0x9e427cfd, 0x53fe9dc7, 0xcff56c83, 0xd0131ff6, 0xc1af18dd, 0xaddbec16, 0xd4b676c5,
+    0x3ad06cf6, 0x258a6f84, 0x1833904c, 0x29408cc0, 0xc4ee4949, 0xd6895bea, 0x8880efca, 0x25e2e607,
+    0x0e5269c9, 0x93d753f8, 0x064defcb, 0xd0b6e179, 0xbbbc06b1, 0x69d01fbd, 0x42224443, 0xb3d2cc4a,
+    0x2c135865, 0x0dfd9f4c, 0x57f00d58, 0x3de7292a, 0xd00e27df, 0xe8da5527, 0x28eaeb31, 0x88dfa9a2,
+    0x0e38339b, 0x03dec823, 0x4af20669, 0x2d0a28c8, 0x90d51441, 0x7c73bf56, 0xa51a3644, 0xe71879a1,
+    0x342462f7, 0x4b60f465, 0xe96a1f2e, 0x047d0ce3, 0xfeeb02ec, 0xc04e3d83, 0x99aebad8, 0x7c6ba78d,
+    0x28f8409b, 0x58a0a39d, 0x96417254, 0xc3615baa, 0xda53721f, 0x0cd6447b, 0x0d58b751, 0xe44eadc6,
+    0xc1ba93ec, 0x12a3557d, 0x7132ebc5, 0xc8df2f18, 0x972f7817, 0xbcbad004, 0x70c58bc1, 0x5c40ea23,
+    0xf5c7a276, 0xbdffda05, 0x01e7c703, 0xdf8882e2, 0x56d7d3b7, 0x50c07ddb, 0xdea76aab, 0xbc67df89,
+    0x8ce951b4, 0x7dc57e33, 0x5dff964c, 0x1bf974ba, 0xb62072a5, 0x7c414c7d, 0x7b5da44e, 0x3ba969e4,
+    0x0ed3e124, 0x6985012f, 0xb4eb33e7, 0x7dc2ace0, 0x4c1454dc, 0x33849541, 0xabc57020, 0xbb747948,
+    0x3e6276e5, 0x32c902cb, 0xccbcf290, 0x37096054, 0x036f1318, 0x2f220bb2, 0x9f2163c8, 0x1d5b261f,
+    0x5c66b63e, 0x07f85c6f, 0xe1b318a2, 0x5f676d20, 0xda50f5b7, 0x254165fa, 0xb9097a7d, 0xbd8e118a,
+    0x3754ed4e, 0xb5efb8d5, 0x2bc29851, 0xeba5c2cb, 0x190bdd32, 0xf4d5badb, 0xe5e12b91, 0x72153d08,
+    0x7afb9d35, 0xca19ed1d, 0x3ded85df, 0x8514c983, 0x80161f15, 0xc88c5c76, 0x4303a1eb, 0x92a293d2,
+    0xb2e95eae, 0x0f258f1d, 0x496f8829, 0x4fcbdda0, 0xfdcead47, 0x50da7ca1, 0x8bc8b8c8, 0xcec61320,
+    0x8891a508, 0xefb7855d, 0x3ff981c6, 0xb4c8b755, 0x3771f8f9, 0x8d7ab198, 0xbd4fe27c, 0xff79e103,
+    0x9f7d7df8, 0x3926bdc4, 0x209ed4f7, 0x3f02d017, 0x8d9857c0, 0x68f2a876, 0xeee74aa9, 0x326f0f93,
+    0x09ea211e, 0x6c24c062, 0xdb944872, 0xdb05a268, 0xf5133b77, 0xbe518ad2, 0xa9f62f54, 0x5111c3f9,
+    0x0ab8e89a, 0x0b392cac, 0xe6679fa6, 0xd29108b2, 0x1824d9b7, 0x095e3688, 0xe6d02873, 0xdffdf1d1,
+    0xa546bca3, 0xa5eadf56, 0x5178b88b, 0x6c2b94a0, 0x4c39a55e, 0x7516d883, 0xda7e4e82, 0xe9858eca,
+    0xee07c054, 0x8015b93b, 0x12991ae6, 0xa07eb50e, 0xdab7ec37, 0x96eba768, 0x70984f23, 0x21383894,
+    0x2f351cb1, 0x2fb1eeb3, 0x546291c9, 0x959c39eb, 0xb9050084, 0x3702fedb, 0x294eab36, 0x58887012,
+    0x3e1019fb, 0x36698cf9, 0x3fc9d91a, 0x5791e8df, 0x4663d6ad, 0xd08c4f93, 0x19042fc9, 0x80f97684,
+    0x44d205c8, 0x1d8878bb, 0x73210a8d, 0xd2f1c7f1, 0x7af302b0, 0x61308086, 0xf97d0410, 0x953dbf4b,
+    0x69cf2e76, 0x996efaad, 0xdc75a130, 0xb95f3f8c, 0xd6934884, 0xcab968bf, 0x2694106d, 0x1c63bcd5,
+    0xa4414d17, 0xc5d1fd8e, 0xb2944e6a, 0xd66d1534, 0x7d968e39, 0x1ebaf080, 0xf22504ea, 0x0bdf50b8,
+    0x326bff6d, 0x0d031eca, 0x8629bc9c, 0xca4c2aab, 0xa36011a7, 0x2ca8206f, 0xe82cba95, 0x461b07ce,
+    0xc4358278, 0x14ea78c7, 0x22859eb0, 0xf2236a3b, 0x3c5a8961, 0x47f81cc4, 0xd18df3e7, 0x967448cb,
+    0x8b606dad, 0x802080dc, 0xd91116fd, 0x206f91a5, 0xe873d5f6, 0xfa9532a1, 0xa0da48af, 0xf8c44e54,
+    0xfb98a403, 0x550ba83b, 0x34814198, 0x7108357b, 0x3c81fccf, 0xaa019904, 0x8264251a, 0xb0e39c58,
+    0x71aba32e, 0x13328854, 0xf820b772, 0xe32fb8e3, 0xfa9c08c4, 0xf2c01157, 0xb449cb5c, 0xf0446de2,
+    0x3711996a, 0xa910c2e6, 0xfd3a2fdc, 0xb3831efb, 0xf400e204, 0x70305c73, 0x70ed1110, 0x1b07bd6c,
+    0xb4276de8, 0x17f86e52, 0x45a27663, 0xfa4d3502, 0x118b18f1, 0xb6be9836, 0xa346bc3d, 0xba62b5a3,
+    0x2a6c34e0, 0xa30d674a, 0x7c0d6f72, 0x93d628e3, 0xe07acf43, 0x8ee7f6ef, 0x6ba22e89, 0x784192c9,
+    0x08e72265, 0x2012113e, 0x98b02aea, 0xedf74817, 0xd12c72e6, 0x75112bf4, 0x4a0e4eef, 0x54b47bd7,
+    0xe48c0ae7, 0xe26ec543, 0x790536a7, 0xbdf51c2e, 0x50668544, 0xebca8f15, 0xc275ae87, 0x4858fd2d,
+    0xeabb6b84, 0x582406bf, 0x997dec32, 0x432aebb1, 0x79a31074, 0x7231a3ff, 0xbd9dd074, 0x16205382,
+    0xe93941b2, 0x232f4354, 0x36ba431c, 0xd44fe3cf, 0x4c7be779, 0x54c67b2a, 0x2593235d, 0x9af91f3c,
+    0x521f4307, 0xc41931b9, 0x96843bf7, 0x856a2cc7, 0x3b295f2a, 0x4231ea70, 0x3af618dc, 0xebf8f23f,
+    0xb58167b6, 0x67c83b24, 0x38156e70, 0x13003755, 0x5de22ca3, 0xb2ba1ccd, 0xa9429be4, 0x7148b907,
+    0xa7cd74a7, 0xbb919d53, 0xd2eb4f2e, 0x9453ac26, 0x933d61bc, 0xa10dc242, 0x6e2611a7, 0x2809aa05,
+    0x36c27126, 0xb3e51ad8, 0x5630dd48, 0x9e81a5ea, 0x58dd8f9d, 0x642c7e8a, 0x5adfaecf, 0x57baf686,
+    0x28de7d0e, 0xd08ef82b, 0x2a8bda41, 0x295e08bb, 0x32c321e4, 0xd8e343f2, 0x264ece4e, 0xb62624c3,
+    0xd6cec2c1, 0x83166e99, 0x6918c7e5, 0x9e65776f, 0xec931a30, 0x3068b550, 0x687a896a, 0xc0a1e81c,
+    0xa5ee35fa, 0x068880d8, 0xc9a8020c, 0x738aca2f, 0xea1729bf, 0x2a8713a3, 0x7019998e, 0x0bd2154d,
+    0x1eaa8e02, 0x3e673646, 0xaf3d01b2, 0x37182653, 0x5295191e, 0xe787bf3a, 0x3e9d8bc9, 0xfffbdd76,
+    0x4f451bd3, 0xc3d75484, 0x1da86ca0, 0x9770a700, 0x64ca06f8, 0xf3ff1223, 0x90caf208, 0x7a7e5108,
+    0xc978ee88, 0x361737f7, 0x6f1c8944, 0x4e5aa858, 0x977b2ca3, 0xf0f1a73e, 0xb3664948, 0x8ca015e9,
+    0x1303bfdc, 0x56a0d153, 0x27e5393c, 0xfd9994b0, 0x02f48af3, 0x0831f033, 0x5207c343, 0xfda60d3b,
+    0x1629a144, 0x175f3420, 0x1d319061, 0x66d74f0e, 0x7e754a03, 0xc48dc877, 0xc6563666, 0x89cc94a5,
+    0x7029f6bb, 0x4638b994, 0x431e81ca, 0xb7692a85, 0xcea6d4cb, 0x465916d8, 0x19211db9, 0x94b90356,
+    0x446a062a, 0xe16e15dc, 0x172aa4f8, 0x7d223bb2, 0x646be52b, 0xdb846844, 0x32f25214, 0x2b5be8e0,
+    0xcf1de6a4, 0x507475a6, 0x03f15ce6, 0x3d3aba00, 0x2e0411a5, 0x4ea3507d, 0x81d46ccb, 0x4cf5ad46,
+    0x47abe993, 0x0a49880d, 0x9b23e8f8, 0x71c7acb9, 0x6ed8d04a, 0x0f53cc33, 0x73e4df6d, 0x1d7f1271,
+    0xbe61bd56, 0xe582901e, 0x016faa7f, 0x2eec4655, 0xd8c5f43a, 0xef9ab133, 0x4c6d7954, 0xb640dcc7,
+    0x2b625850, 0x1d18b215, 0x0e1321d8, 0xc39c2802, 0x5a449d05, 0x89033201, 0x977e508f, 0xecd6f16b,
+    0xa53f8758, 0xb3e3734e, 0x97caa8da, 0x39988de0, 0x07667fed, 0xd3bc183b, 0x73acb782, 0xe9ae87ca,
+    0x7414f6ff, 0xd54e01fb, 0xe7bc533a, 0x7d32a334, 0x8a07b211, 0x3ebc809f, 0x7492a748, 0x85fe3a8a,
+    0xd69b6e9c, 0x6f250d96, 0x6902ebb8, 0x8c3d3ecc, 0x248a3051, 0xecfbf37a, 0x3a8315fb, 0xadf73d57,
+    0x484a06ce, 0x870125e5, 0xdb9050cc, 0x5c22f9b9, 0x06769157, 0x504556d3, 0x39b0385d, 0x63e70a39,
+    0xad7c228f, 0xb4828fba, 0x99dcd186, 0x5317cf00, 0x45131e09, 0x98830a87, 0x829ccc4b, 0xf8acccbd,
+    0xc3945004, 0x9ff98c9b, 0xdf403ede, 0xb2085837, 0x4c919d94, 0x7ad6801c, 0x16cecc2e, 0x18727213,
+    0x12d2cd52, 0x2fc476d0, 0xaad9a14a, 0x55d8a3df, 0xf5b67e60, 0xc0861aa7, 0x060b8785, 0x7005657d,
+    0xb388e8c8, 0x67b039f4, 0xfe645a1b, 0x4e45082c, 0x2629c965, 0x96059812, 0xb4aefe24, 0xae0ef6ac,
+    0x1794e424, 0xb202ec06, 0x4c32c8e7, 0x9648c2e4, 0xdb7a6b23, 0x7b7cadc5, 0x06f2f779, 0x0852f124,
+    0x7266afd0, 0xd90fe0c5, 0xfe258b16, 0x30a02f63, 0xaa51f79f, 0xc43e0409, 0x66ddf5c6, 0xb623c933,
+    0x28253991, 0x07cf8efb, 0xc9b03634, 0x5fb9f325, 0x1cfbc47e, 0xbc81b538, 0x5ffd53d1, 0x898d2dd3,
+    0x6732b99c, 0x69afd3b1, 0xd5f93557, 0xa9652924, 0x4732775a, 0x1336ad58, 0x569ee3df, 0x5c0eb2b6,
+    0x67ac4df2, 0x7802542d, 0x0c4de824, 0x33fb737c, 0x05ca89f3, 0xb767a6cd, 0x4f2d87dd, 0x9f49f9b7,
+    0x28229a83, 0x5bf91a25, 0x3e15b65b, 0xf44ac3ee, 0x3b4c7dcd, 0x7f1acdcc, 0x35101888, 0xac52bf9e,
+    0x7936935f, 0x5705cfc6, 0xea820ba0, 0xf268adb0, 0x805b8cdf, 0xa3b6a751, 0x380d2365, 0x93331fb0,
+    0xc67c70bc, 0xb6f3562d, 0x9f5b65fd, 0x17334a76, 0xdde9ac71, 0x4bd35502, 0x18c1423c, 0xac1a9d57,
+    0x1cb16ef2, 0xc42ca7fe, 0xb4509eb9, 0xd239fc98, 0xde1e3a91, 0xaf15095e, 0xa2c6fa8f, 0xd88cf30c,
+    0x0429dc07, 0x0341e7de, 0x8fca5b0e, 0x5f15ec9d, 0x6eeb981f, 0xfaf413f4, 0xc2ba719b, 0x4026b3f4,
+    0xc47512c0, 0xb218f978, 0xba9b6bcd, 0x0b61d451, 0x29d3cbbe, 0xfb0f6566, 0xbea0854e, 0x8da8f737,
+    0xe522d4a9, 0x057d75cd, 0xf95d3271, 0xef47f730, 0x450549ee, 0xb9ff02c1, 0xfaa2f7e0, 0xd19696cf,
+    0x7fde2487, 0xd6d8a23f, 0x2b2a0a11, 0xf36d4af5, 0xbc622e2a, 0xbe2b5f6a, 0x0a8684f2, 0x86b52f37,
+    0x9f6b8e2e, 0xc207a6b3, 0x10b18440, 0xdfd94593, 0xf245dcde, 0xa016f35d, 0xe36de730, 0x1ae9c6aa,
+    0x5f71f5e8, 0x5f522128, 0x59ff6ce0, 0xa42c7557, 0x46ae5231, 0x8291378c, 0x5d5dfcb9, 0xe582647f,
+    0xd6f7ca88, 0xfa7dd330, 0xe04d6a7c, 0xdeb464d3, 0x99ecc302, 0x8db04506, 0xc446fc7c, 0xce4ab386,
+    0x0416d9af, 0xade99022, 0x0e5b63b2, 0xc06a1e3a, 0xa309556e, 0x03de7265, 0x681e7281, 0xae4efa71,
+    0x849ee267, 0xc7ded7ba, 0x41093fac, 0x5ad7576a, 0x74d60d3f, 0xd66c438e, 0x48ae75f7, 0xa6aee6b8,
+    0x25a289f0, 0x66970011, 0x74e0d218, 0x8f755265, 0x5c575578, 0x37be8129, 0x5b02c991, 0x3d395cc6,
+    0xf9bee6de, 0xe7ae7189, 0x0e3aad2a, 0x3d14d6d0, 0xf22410c0, 0xf6162ee7, 0xd00fa317, 0x68ac8a7f,
+    0x98ab4dfb, 0xed4e25ba, 0x578805c6, 0xd8641cfc, 0xef5a43ba, 0x55bf5e30, 0x02ea2aac, 0x8d4b3378,
+    0xe3cec362, 0xc5bc28da, 0x82c54a80, 0xdedd078f, 0x6ca2a371, 0x99a09236, 0x8436442c, 0x0f7bde34,
+    0x233fc8a8, 0x3b0e400f, 0xdd1064a6, 0x13eb5457, 0x5972f86f, 0x8fe447cb, 0xa6deed82, 0x2d30feff,
+    0xe78a7347, 0x6b90dd39, 0x7a8ac823, 0x5c421f36, 0x01a03c2f, 0x0bf8b197, 0xd1ddfa14, 0xdf7698e8,
+    0xe4d98278, 0x386a402a, 0x8bb7ee3b, 0xe2decc17, 0x520fd38d, 0x7ff33955, 0xa99b908c, 0x9fec3208,
+    0x5fc395c9, 0x154049d6, 0xa177207e, 0xf4fcf4a8, 0x29e0d6d0, 0x4cb592aa, 0xa339b856, 0xc59d9b25,
+    0x9e73fe64, 0xefeec1be, 0xe2895696, 0xec5351d2, 0x47845fa9, 0x8d831d17, 0x18a4f89f, 0x7b1e0717,
+    0x94acb800, 0xe8b5bff2, 0x04641bb7, 0x5f14d9cc, 0x59b11ca3, 0x78447618, 0xb7b6e863, 0x2337eba8,
+    0x7b233e58, 0x306e59ff, 0xbd3011c1, 0x03b19044, 0x0bc69d5f, 0x38bfce3e, 0x4483a7b9, 0xbba3c6c5,
+    0x0b4d9681, 0xba4a6834, 0xb8e3ce2e, 0x120081e1, 0x03780211, 0x14cf05a0, 0xa7c0a2a5, 0x5739aeb7,
+    0x50c8a615, 0xc6dab075, 0x9d8cf9cf, 0x4a3b8c4a, 0xaf4ea46b, 0x3be1afe6, 0xf1da75a7, 0x4ed5e3f6,
+    0x87afcace, 0x3c2f90ba, 0xfc6351c1, 0x3679dff9, 0x6655a498, 0x2fb87b27, 0x0d52832d, 0x1951d858,
+    0x54f8ad4c, 0x4011f977, 0x90ccb865, 0x0bae1aa7, 0xcdaaa6b5, 0xe80135a3, 0xb011b8db, 0x3d61794f,
+    0x49e00e6b, 0x25ea58fd, 0xfc680ff5, 0xd9c35553, 0x1572a624, 0xda442681, 0xc6543bfe, 0xbc2c058c,
+    0x333724d7, 0xa8ee47bc, 0xa5dceb3a, 0x3b42c79c, 0x7464689a, 0x6241e62f, 0x077cb156, 0xbeef5379,
+    0xb4c8ca2c, 0x3dcbe254, 0xa19bff7d, 0x12208661, 0xaa32b967, 0x0eeaf2dd, 0x8f95cd35, 0x5c11f0cb,
+    0x63297d7a, 0x19765d55, 0x07b96937, 0x043c2fc0, 0xabda7582, 0xe0f4c1ef, 0x929dbe65, 0x84911fca,
+    0x97f46c5b, 0x6c26cfa1, 0x0ff5d513, 0x7dd510b5, 0xc7cc9028, 0xa878baa9, 0x8b01b7a9, 0x3882d09d,
+    0x15df18af, 0x782b8e2e, 0xfdd47ee5, 0x49916c06, 0x74deeb6a, 0xb55db33f, 0x5b39e0c0, 0x23e193b9,
+    0x18d15aee, 0xbbfe21db, 0xfbf65286, 0xa3fc4e0a, 0x5c249b0e, 0xc0d7e182, 0xfd7ce321, 0x4633b6c8,
+    0xb72bc950, 0x6fb66a4c, 0x80bc9b2a, 0x6346a4bd, 0xf3062b3e, 0x4646706a, 0xa8e8a685, 0xd533bbf4,
+    0xcd663d71, 0xf1c38e76, 0xa2be0709, 0x3c53a507, 0x93f2f0eb, 0x9c7ae8fe, 0x13886dfd, 0x2a8b9dc2,
+    0x68fba4d6, 0x09f4413a, 0xdf4cd5e1, 0x9adb7ceb, 0xaf701307, 0x973b7578, 0xcaab6b09, 0xf7fc1e65,
+    0x8474ad16, 0xba291c24, 0xbe229fa6, 0xde4236e8, 0xcd450e52, 0x04093289, 0x8ae28440, 0x56f52444,
+    0xfcf03cb3, 0x9c549671, 0xaffdb8f6, 0xb82b4f8b, 0x267ae62d, 0x858294ca, 0x7fa7cf42, 0xd6e012cf,
+    0x4db670aa, 0x23ccd348, 0xdd27f085, 0xbf716c1a, 0x7989a9b3, 0x4c2ebe68, 0xc44de15b, 0xe69594be,
+    0x00000000,
+    0xffffffc9, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000016 */
+  { 0x00000000,
+    0x84f140f4, 0x136e46da, 0xce62a40f, 0xec9c4af9, 0x9a42e1d1, 0x0108e988, 0xac85da75, 0x1786038f,
+    0x2f1cf90a, 0x98475f0f, 0x84e8dd79, 0xe4f3094c, 0xc08210bb, 0x87bbf690, 0x253f29b6, 0x9fed45be,
+    0x18dec923, 0xf24c8e23, 0xec3bd2e9, 0x03b99df0, 0xe1724b4c, 0xa4720fbc, 0xd5db3e54, 0x525f1d71,
+    0xf64617e7, 0xd8d41718, 0xe3d5d2da, 0x9423e3df, 0xafe86584, 0xbf73f3c2, 0x156ed21a, 0x33330840,
+    0x561c4154, 0xfa9a3a7e, 0x21d28dab, 0x269ea547, 0xeeb2a5af, 0x44ba1940, 0x28372bbb, 0xdff141cc,
+    0x9bbfb993, 0x727da0ea, 0x88f32e35, 0x2e81c897, 0xbc5f6c4c, 0x042e37f6, 0x1abcefb5, 0x4bbd42c1,
+    0x033ca06f, 0x79ac6955, 0xef464965, 0x439987d0, 0xb60e1973, 0x9c2a429e, 0xda67950f, 0xec6416d5,
+    0x493c5f00, 0xf0db74db, 0xef0d3e81, 0xa1204ba4, 0x8ae3c93d, 0x87ce6b07, 0x251b1788, 0xf1a82375,
+    0x9065e93d, 0x5a218992, 0x5b78a1a7, 0x7bc2c40a, 0x99bd80d4, 0x6ac7ca03, 0xe97980ca, 0x2063f8a2,
+    0x1dc83cf0, 0xdd0fe5fc, 0xf2d54a1e, 0xc847d7da, 0x32b965bc, 0x342144c9, 0xb161e248, 0xeb1dc5b8,
+    0x85e8b7b9, 0xeea1deb7, 0xe7c39e24, 0x0c760514, 0x163098fa, 0xb1b8495d, 0xb0465955, 0x61a50b92,
+    0xe40eddbe, 0x369d200b, 0xdb12b5ba, 0xd3cfcb59, 0xcabb4fa1, 0x2deefba0, 0x0ef2b717, 0x915425c7,
+    0xb5672a86, 0x4bfc2ce1, 0xdfd8ee18, 0x61c0ba44, 0x63d8c279, 0xb1356c9e, 0x0e5d65e1, 0xef8f4481,
+    0xf19685bd, 0xe1fcb4c6, 0x23638763, 0x3ad4bd31, 0x52d48e37, 0x810375ab, 0x9b1c25a5, 0x681a7099,
+    0xfa57f55f, 0xff6b5a96, 0xd296e635, 0x1e933e0a, 0xdb831e02, 0x75dcd0fb, 0xeb1638fc, 0xa8e03386,
+    0xfbbe26ec, 0xd9c6855f, 0xd6591295, 0x0b97b8c3, 0xc66eb9c7, 0xc1f90940, 0xbf0d9c75, 0x44c27cbc,
+    0x56b26949, 0xedd1d51f, 0x00a00dfc, 0xe7815906, 0xea0ed1ff, 0xc228d9e8, 0xe198e1b8, 0x470f5e16,
+    0xaf4ab0d3, 0xef33d4ee, 0x43bd99fe, 0x64533bbc, 0x24a32284, 0x729299a0, 0x7d274818, 0xd13338e7,
+    0x38903f52, 0x28b7843b, 0x8d82092f, 0xbcdeee0c, 0x604c45fe, 0x20df48a5, 0xe2a8ac31, 0x5c41f542,
+    0xd750895a, 0xe6cb50a0, 0xdfcfb3dc, 0xe1d2c35b, 0x3afb539d, 0xf571dc91, 0x5a72e829, 0x37f0dd22,
+    0xb591f2b1, 0x85d71a02, 0x4038aa40, 0xb1059bf6, 0xebd2209e, 0xed426326, 0x98fe3e33, 0xe09ab4f7,
+    0xe045fb61, 0xbe02da7a, 0x18403db2, 0xd099b5f4, 0xff8dbf45, 0xddf695c8, 0x711266df, 0xc5e7ab4a,
+    0x88d27705, 0xc6078bba, 0x9fd9fa87, 0xc79021f6, 0x8594d4e3, 0x1dd1772b, 0x5cfddce5, 0x1bb2b8fa,
+    0x840b67e8, 0xe6a3e374, 0xebbfac27, 0xed667554, 0x4743607c, 0x691394dd, 0x7870fff2, 0x4ec60bbd,
+    0xa0371799, 0x184e806b, 0x393804ff, 0xca585353, 0xa30d8bae, 0x9e658641, 0x8496a822, 0xb7081476,
+    0x6bb6068c, 0x44bf21be, 0x10e783dd, 0x81de66fe, 0xa5131f6c, 0xebe64294, 0x9003c3ae, 0x20b2d2fb,
+    0x05e84c5a, 0xc5e8820a, 0xda453060, 0xe1046742, 0xf6bd362b, 0x0676e792, 0xdc179878, 0xc62ef8e6,
+    0x93ea023c, 0xbbfc6ffd, 0x794cc804, 0xaa2fbedf, 0x3effc51c, 0x04dd8a5f, 0x99664300, 0x542c7d0b,
+    0xf2c05169, 0xd413bdf7, 0x9007f56c, 0xb7f071c2, 0x8cd89603, 0x7858ac3e, 0x14c70c6e, 0x91923928,
+    0x4090bed4, 0x1913a249, 0xfd882b88, 0x9075d975, 0x65a54b53, 0x5c3cecc5, 0xeea03138, 0x44de2b6e,
+    0xd67c4e04, 0x686a21b1, 0x33eabe24, 0x0340d22d, 0x10ea081c, 0x7636930f, 0xf609b205, 0xf08ff580,
+    0x4cb81483, 0x243b1db8, 0xff00d18c, 0x6aacf210, 0xbb22556a, 0xc0c88798, 0x4160c86c, 0x00373271,
+    0x227cd797, 0xbc97a070, 0x5534bac7, 0x2aea6462, 0x0935deb4, 0x79a2585a, 0x1de59921, 0xffbf3d6d,
+    0xa3674dc1, 0xa958ff4a, 0xcc466a1c, 0x0802020d, 0xb62a9ee5, 0x6d66e0b4, 0x6ffcbd2a, 0x769202a1,
+    0xa3e29dc4, 0x6e396e8b, 0x4b787963, 0xec7d4149, 0xd4ae17aa, 0x1a7d2ed4, 0x1dae3bbd, 0x002b73f7,
+    0xae36b49d, 0x42c39efb, 0x94c777ce, 0xba4b95d5, 0x4e0f2c98, 0x4485401b, 0x1cfb8e56, 0x3bb73b40,
+    0x39d40c31, 0xf7b2ff71, 0x3ec50cb9, 0xbf7edb7d, 0x38423bb9, 0x920a2e2c, 0xbfa648a9, 0x2c52436e,
+    0x86767c33, 0xb35e3bca, 0xb8b08b22, 0x6878646a, 0x9c890d2f, 0xce0b663a, 0xd600fe01, 0xa389b270,
+    0xb4b8aedd, 0x1ec592f1, 0xf2668f56, 0xc92044ee, 0x48583372, 0x66f6842b, 0x4263fdab, 0x4fb0ed48,
+    0xb5b1d321, 0x9cde9d84, 0x41c1407c, 0x96c07652, 0x421375d3, 0xc4ab6b28, 0x96df8002, 0x07a83ffa,
+    0xab3725dc, 0x25b71eba, 0x1f02cf93, 0x2c1d6a49, 0x7b3adece, 0x0f24353e, 0x56c4ddc0, 0xedadc2f1,
+    0x525aebb3, 0x5f087920, 0x51e3cd6f, 0x3165a8a6, 0x59a207d2, 0xff5a939f, 0x75a06b19, 0x02d21764,
+    0x11c27530, 0x8bd560c5, 0x28def167, 0x819210e4, 0xb14b3c13, 0x5404391f, 0xad3d9059, 0xc4aa9468,
+    0x456cc6a7, 0xecab6472, 0x5453ea37, 0xe6d0591e, 0xc8800bfe, 0x83bfe88d, 0x444eb976, 0x6eda7e3b,
+    0x61837da3, 0x2a21e786, 0xff1ad2bf, 0x47916415, 0xffc0eaec, 0x464cc077, 0xdf52b65b, 0x7a0ce164,
+    0x85cf8d46, 0x6330260d, 0xbe21e42b, 0xddd507d9, 0xb72570a7, 0x8e655dfd, 0xf5512561, 0xf1f8ab4c,
+    0x1b6b6b5d, 0x78f3dcb1, 0xf0aeff31, 0x124cdeaa, 0x0ac6d86c, 0x8dd87044, 0x820781a9, 0x3c0899d7,
+    0x164c47ac, 0x31822e18, 0x2adea5e8, 0x94efbbba, 0xffce56e5, 0x5d785627, 0x8f206ee0, 0xe8409ba6,
+    0x743be70b, 0xcb5c5f51, 0x43f9ffe0, 0x4c975d54, 0xbbc0e0db, 0xe27b5fc7, 0x2e0edc10, 0x25fa3a99,
+    0x92dcbc03, 0x9b2204e2, 0xa23d8216, 0xb741f619, 0x5fa1fc13, 0x8ae64d7c, 0x7c269718, 0x7611aa21,
+    0xf651d661, 0x4d1a3a12, 0x5da9d44f, 0x549126d9, 0x20873411, 0x7a9aa5de, 0x4a8bea59, 0x341d130b,
+    0x1a244381, 0x642d7c0f, 0xd3788d85, 0xb42002a9, 0x3735cc3f, 0xc2a27c6c, 0x0393de43, 0x9047b64d,
+    0xe5ff78c6, 0x8fe9c27b, 0x43ce60f6, 0xc149b6d8, 0x4064492a, 0x3c534272, 0x672eb84f, 0x936a807c,
+    0x5fde61f5, 0x732a6f14, 0x1344556f, 0xe5fa7049, 0xa7396a59, 0xa1e13bc4, 0xb7f650ff, 0xc6fba780,
+    0x3542acf8, 0x74fdadeb, 0x49e1a06e, 0x9e2417e2, 0xb3a22e68, 0x7dfd30ed, 0xf279da8c, 0x1a6eec1b,
+    0xb50fecb2, 0x3560dfe9, 0xe91fbeb7, 0x15707f99, 0xd6187af6, 0x8c15f864, 0xa860b1c6, 0x9fa018e4,
+    0xd3a42c6f, 0x3f6da925, 0xb29263f0, 0x68ca99c1, 0xca740205, 0x22d77069, 0x18fdd2d4, 0xb7e1584a,
+    0xd2c78d9d, 0x92913ca8, 0xf8ccdae4, 0x25585429, 0x2b5efe68, 0x4280831d, 0x20ed8b5e, 0x4b46fb3c,
+    0x270c8950, 0x9c677f40, 0x141e7002, 0x9e7eb0b5, 0x100860cc, 0xe0a9ce70, 0x9a5703c7, 0xa3ca4a10,
+    0x343a6f3c, 0x3cd39af2, 0x14bf7fb2, 0xb489b4f5, 0x4dad0709, 0x0b168984, 0xc76b3909, 0x85dcf93f,
+    0x7a5bbbbd, 0x6def9cb0, 0x4c08c21b, 0xa591ca6d, 0xf6919741, 0x7b294116, 0x60bb00c7, 0x2006db91,
+    0xcd09de7b, 0x296cb5e0, 0x464e6df7, 0x82382911, 0xb0069875, 0x3396048e, 0xe0fdb146, 0x6b276b53,
+    0x2e900b50, 0x24fdbb57, 0xcef8cc04, 0xdfd3e59a, 0x79106222, 0xc1eb9d47, 0xa7e206c5, 0x94f4c437,
+    0xe87eaf07, 0xff657b59, 0x9873d4b8, 0x61a93d50, 0x7b4c7c85, 0xbd8d69b5, 0x8d82dfee, 0x0e51a767,
+    0x7b492187, 0x77c28449, 0x218f71cd, 0xb2c4b8d7, 0x7fae0b15, 0x1db775f8, 0x80196ae0, 0xd7142378,
+    0xfe872f08, 0x48b1f585, 0x71e9fd34, 0x8a13bfa5, 0xa0aadadf, 0x00266b79, 0xc5865c7b, 0xa0d679c9,
+    0x8b7411f5, 0x40e2f42b, 0x46fe971f, 0x525435b7, 0xd372ae48, 0x79fcf12c, 0x7a4bcb85, 0x626bdaef,
+    0x4b4476fd, 0x32b45d3f, 0x4b70eca7, 0x0f74bd16, 0xe1ca5fe0, 0x0c80160f, 0xe791493e, 0xf59293c0,
+    0xc2ed2506, 0x54764ee6, 0xf23008b1, 0x1aff34d3, 0x6e2475d6, 0x57445f80, 0x49cbd0f9, 0x587d44a4,
+    0xf5f3e290, 0xaae92242, 0x8f09c8ab, 0x51270f0d, 0x9b90bfab, 0xa1651502, 0xa1a32863, 0x2cccbcb1,
+    0xf9e43219, 0x17936f88, 0x46488eba, 0x48151794, 0xf31c97bb, 0xd35f6311, 0x28ae49ff, 0x0d941246,
+    0x94017f31, 0xa488b5f1, 0x6cf4caed, 0x2b0a44d2, 0x203d6236, 0x7b2aee96, 0x03a0737d, 0x560092a2,
+    0x7ad055c3, 0xa73a4119, 0xf353f51f, 0xd2f32c87, 0x1ddee324, 0x74297295, 0xcb80717f, 0xf23f2229,
+    0xd5103d39, 0x53ebe56b, 0x733e910a, 0xb605b5f7, 0x6daf0510, 0xcc8701bc, 0x8783c26c, 0xd438a6e5,
+    0x8fbfd110, 0x5b662d30, 0x7be6d638, 0x4802a31d, 0xf340a9e9, 0x81a4855a, 0xb12729e5, 0xa5bf16d6,
+    0x24c4b073, 0x2c7f8fd8, 0xb4a99565, 0x64b48a8b, 0x0c9f1fc0, 0xad261365, 0xdc1e4e74, 0x51c4c3be,
+    0x6bd0de7f, 0x73164d1e, 0x7082f4e7, 0x5e45db81, 0x81ebd2f7, 0xbc3eb51c, 0x9bb3fb19, 0xfe377df0,
+    0x0f1f2cc0, 0x6e14859e, 0x4bc09dbf, 0x490785db, 0xe59fd776, 0x4ad337f5, 0x3f349e42, 0x101927c4,
+    0x3da0498c, 0xb6182a6e, 0x6d8af2e2, 0x1e41df73, 0xff0ae287, 0x3c0da254, 0xfefc9fce, 0xd36f5349,
+    0x34320bc0, 0x0e585d64, 0x06deec5f, 0x4fa9608c, 0xd8a94eee, 0xa9fae5b9, 0x33c427b7, 0x60a383d3,
+    0x377a959d, 0xd961db92, 0xa8922fed, 0x6510d0dd, 0x0beac4da, 0x45cc67f8, 0x31c1eef8, 0x58edacec,
+    0x9800e832, 0xcb440b9d, 0x09fb0091, 0x3df27ee3, 0xe4031f44, 0xc256fd11, 0x613eb445, 0x13628860,
+    0x5a1c8115, 0x72c84985, 0xd9d59ed8, 0x906a1afb, 0xf15f2859, 0xe268eb50, 0x2e32ee3e, 0xd43f5ce2,
+    0x1b559be8, 0x334d0973, 0x3300b359, 0x3f38d000, 0xa756c68b, 0xc4909335, 0x688854a2, 0xa80ccef0,
+    0xcecfb158, 0x48de6b2f, 0x4eaa5d0b, 0x206d32de, 0x9db633d9, 0x05ed54d7, 0xae98da2c, 0x7c325592,
+    0xea57cd1b, 0x7025d7d5, 0x0d877d0c, 0xce48a2dc, 0x0fb7d8f4, 0x55a44c50, 0x7b84b0a9, 0x0e93ec86,
+    0x9db0549c, 0xcbca435a, 0xf1aed971, 0x1bfbb415, 0x320865d5, 0x12927ec8, 0x72f8f0ed, 0x4dd39d76,
+    0xadb3d7de, 0xa0daab87, 0x22b1b0bc, 0xc7d33dd5, 0xf96ec153, 0x8cd611c4, 0x8400802d, 0xc3d079d5,
+    0x8ce8863b, 0x83dc6dff, 0x158b578c, 0x046fa656, 0xebb1696f, 0x84c82649, 0x7c78cc6f, 0xa3fc9ef7,
+    0x4b1de090, 0x90170ee5, 0x72017a28, 0x72a00599, 0x9452ddc8, 0x8100f16c, 0xa6c3f994, 0x1723de00,
+    0xf5ae4273, 0x42b709c1, 0xcf0e9b79, 0x257ab8d8, 0x36beadfb, 0x94ffabf2, 0x0b5218a6, 0x5e3ca146,
+    0x01fddc0e, 0x93614641, 0xdff06b0c, 0x4a4d0038, 0x5780c562, 0x320ff291, 0xef9b02fb, 0x65dca8b7,
+    0x5bd0b63b, 0xe3d0ca5d, 0xab738bbd, 0x0dfb4052, 0xb6208dea, 0x9c063070, 0x2c2272c6, 0x63eb36f0,
+    0xb1115a70, 0x60184398, 0x6716649b, 0x596b812d, 0x51398384, 0x9b6cad7d, 0xf31ff2b9, 0x192a487d,
+    0x94a1b821, 0x692100d6, 0x8f9c95a2, 0xfe93c442, 0x0e6ad1da, 0x06bada31, 0xa1643e43, 0x50306f08,
+    0x11cfe129, 0xa300f675, 0xd8aca9ec, 0xefc5cb25, 0x9fb795d8, 0xbc307263, 0x3315ac0e, 0x336ce9e3,
+    0x4a0836db, 0x40c1663c, 0x8d11a0e7, 0x1ad1e86a, 0x3ff15ca4, 0xa5ee10bf, 0xf5dd3c5b, 0x13cf95a9,
+    0xb65ea14b, 0x272fc4be, 0xf939e82e, 0x819a745f, 0xdfc679a1, 0x61e4cc72, 0x121de4c2, 0x39ae4c84,
+    0xa6886a72, 0x805275c3, 0x798d5fa4, 0x29b17f3e, 0x5d0dcd1d, 0x27367abb, 0x84cfb306, 0x598150a2,
+    0x96e056c2, 0x591af955, 0xc6340164, 0x7c9a5a5e, 0x5de9952f, 0x82a02ddd, 0x23986089, 0x46105a96,
+    0xf70e94c3, 0xe2ef230d, 0x15e6c71e, 0xb2489215, 0x695ae279, 0x83888b29, 0x44baf000, 0x79a9e516,
+    0xfaee1d54, 0xf2a2f537, 0xb1646686, 0xdf75f1c9, 0xd6df4a52, 0xf34b91a3, 0xa477eef9, 0x0ffe4fd1,
+    0x0f491e2c, 0x567cb964, 0x91237e5f, 0x41692be8, 0x2eb26fff, 0x305d6aea, 0x2177f4d9, 0xca3872e3,
+    0x8c06082c, 0x9cdcf005, 0x9edbcdc6, 0x60c6bf41, 0x944cfe8b, 0x46dddfef, 0xe9d9f8da, 0xb6ed3c83,
+    0x3d5edb2c, 0xe523b0b4, 0x34800f59, 0xa505b373, 0xd4baace4, 0xe0360b29, 0xb27f18b9, 0x177bf294,
+    0x5dbc48c6, 0x546d14ab, 0x724211c8, 0xf221c5f8, 0xb260e5c8, 0xa359e1c8, 0x922d699a, 0x1c78b197,
+    0x99ce47cc, 0xc7be451f, 0x053aa770, 0xea24a175, 0x07cfad26, 0x9f472d91, 0x1a236cc1, 0x12bac2b4,
+    0xb87bb1fd, 0x5d3cc705, 0xf84f06a3, 0x6c1fb8d7, 0x5b365c88, 0x595b90f5, 0x45b5c1c3, 0x9aa8625f,
+    0x8042858b, 0x6e099de3, 0x28ed3420, 0xea305fef, 0x7c15d020, 0x191b2f05, 0xda90afbb, 0x83599140,
+    0x73a26418, 0x9259df44, 0xf939116e, 0x3027bb04, 0xc4c99e19, 0x0b0190ce, 0xd3371f26, 0xe32b88ef,
+    0xfe2ae8b6, 0x4966506b, 0xd943a8a1, 0x34701f21, 0x9981f1b2, 0xd3f661c6, 0x6d589dfb, 0x075e6e1f,
+    0xabc76e94, 0xdecba7de, 0x40e64f29, 0x8cc97c8b, 0xbe47a3d8, 0x2eff9cd8, 0x7598079e, 0xd456d9d6,
+    0x03e1e1dc, 0x26f50c5c, 0xb3db394c, 0x20766d19, 0x1da42ac2, 0x2ecac3b3, 0x6a5c6a39, 0x301cd34a,
+    0xa1f6347a, 0xac2a6ae2, 0x69ad17d0, 0xb1737fff, 0x9986fa2f, 0xbca6b9e8, 0x0f45c32d, 0x10b1d3f8,
+    0x2530103e, 0xe5dc3d58, 0x3317598d, 0xd6525c99, 0x8001edeb, 0xee87dd84, 0x0adf2c1f, 0xc7d76f93,
+    0x90ac601a, 0x13c65b6e, 0x3670aa62, 0xfe5255e3, 0x3d765820, 0xcdaff6a8, 0x28281242, 0x25e03966,
+    0xb5f849fe, 0x56836f60, 0x1cb94937, 0x1950082b, 0xe5cc4d20, 0x279397cc, 0xd58e117b, 0x0d2480bd,
+    0x436732ea, 0x9f2aa81f, 0x48e6ceab, 0x7d259a99, 0x2e4dc631, 0x02968842, 0x7af10cf3, 0x0fb47df6,
+    0x0fd966e4, 0x0f914288, 0xb306fdf6, 0xa2153e2a, 0x71bf3509, 0x5038d284, 0x404b1eb7, 0xb0e189c8,
+    0x3d8cfe55, 0x64c98341, 0x00d339a3, 0x4fd783b5, 0x584f217b, 0x764e1003, 0xde95f7f9, 0xe437f869,
+    0xcd929a76, 0x0578bad1, 0x754e35c3, 0xd4e7228e, 0xbcf66b00, 0x48d88bf2, 0x14874b8e, 0x63833224,
+    0x3d7f925c, 0x4d9ded91, 0x5105811e, 0xe1a3c973, 0x69e2c7b5, 0x0e21d6bf, 0x58bddc44, 0x7575a2ef,
+    0xc8f72a43, 0xb162b907, 0x3c907f13, 0xa0e59342, 0x45851a5b, 0x26aa63c1, 0x62f8c8a9, 0xbe8e1ab5,
+    0xe8a46eb4, 0x50901058, 0x56e66baf, 0xa79ab929, 0x89dd3900, 0xf289cac4, 0x25f2addc, 0xb5d437d0,
+    0xa83e4d17, 0x94406951, 0x8125039a, 0x55091bdd, 0x9f9cbde6, 0x8dd94703, 0xd37a3b04, 0x5705755f,
+    0x6d2f8350, 0x7068f3b4, 0x8161697c, 0x3d4d3d75, 0x36ba7c3d, 0xfdc20d2b, 0x8461cefc, 0xabcc7711,
+    0x00000000,
+    0xffffffe4, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000008 */
+  { 0x00000000,
+    0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758,
+    0x0902de00, 0xee631f8a, 0xe83e425a, 0x5cfaacd9, 0xb2fec56d, 0x50b0f27b, 0x9c779a6b, 0xfcb923a2,
+    0xd7dbf487, 0x94467381, 0x985f06f6, 0x4a8c154c, 0x113404ea, 0x52bd3c36, 0x758e2196, 0xe00d1b71,
+    0xf8a0902d, 0x25aee631, 0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f, 0x3a29c779, 0x487fcb92,
+    0x381d7dbf, 0x6f694467, 0x54c985f0, 0x4ea4a8c1, 0xc3611340, 0x19652bd3, 0xb71758e2, 0x02de00d1,
+    0x631f8a09, 0x3e425aee, 0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2, 0x779a6b50, 0xb923a29c, 0xdbf487fc,
+    0x467381d7, 0x5f06f694, 0x8c154c98, 0x3404ea4a, 0xbd3c3611, 0x8e219652, 0x0d1b7175, 0xa0902de0,
+    0xaee631f8, 0x9e83e425, 0xd5cfaacd, 0xbb2fec56, 0xb50b0f27, 0x29c779a6, 0x7fcb923a, 0x1d7dbf48,
+    0x69446738, 0xc985f06f, 0xa4a8c154, 0x6113404e, 0x652bd3c3, 0x1758e219, 0xde00d1b7, 0x1f8a0902,
+    0x425aee63, 0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0, 0x23a29c77, 0xf487fcb9, 0x7381d7db,
+    0x06f69446, 0x154c985f, 0x04ea4a8c, 0x3c361134, 0x219652bd, 0x1b71758e, 0x902de00d, 0xe631f8a0,
+    0x83e425ae, 0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb, 0xc779a6b5, 0xcb923a29, 0x7dbf487f, 0x4467381d,
+    0x85f06f69, 0xa8c154c9, 0x13404ea4, 0x2bd3c361, 0x58e21965, 0x00d1b717, 0x8a0902de, 0x5aee631f,
+    0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2, 0xa29c779a, 0x87fcb923, 0x81d7dbf4, 0xf6944673,
+    0x4c985f06, 0xea4a8c15, 0x36113404, 0x9652bd3c, 0x71758e21, 0x2de00d1b, 0x31f8a090, 0xe425aee6,
+    0xaacd9e83, 0xec56d5cf, 0x0f27bb2f, 0x79a6b50b, 0x923a29c7, 0xbf487fcb, 0x67381d7d, 0xf06f6944,
+    0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758, 0x0902de00, 0xee631f8a, 0xe83e425a,
+    0x5cfaacd9, 0xb2fec56d, 0x50b0f27b, 0x9c779a6b, 0xfcb923a2, 0xd7dbf487, 0x94467381, 0x985f06f6,
+    0x4a8c154c, 0x113404ea, 0x52bd3c36, 0x758e2196, 0xe00d1b71, 0xf8a0902d, 0x25aee631, 0xcd9e83e4,
+    0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f, 0x3a29c779, 0x487fcb92, 0x381d7dbf, 0x6f694467, 0x54c985f0,
+    0x4ea4a8c1, 0xc3611340, 0x19652bd3, 0xb71758e2, 0x02de00d1, 0x631f8a09, 0x3e425aee, 0xfaacd9e8,
+    0xfec56d5c, 0xb0f27bb2, 0x779a6b50, 0xb923a29c, 0xdbf487fc, 0x467381d7, 0x5f06f694, 0x8c154c98,
+    0x3404ea4a, 0xbd3c3611, 0x8e219652, 0x0d1b7175, 0xa0902de0, 0xaee631f8, 0x9e83e425, 0xd5cfaacd,
+    0xbb2fec56, 0xb50b0f27, 0x29c779a6, 0x7fcb923a, 0x1d7dbf48, 0x69446738, 0xc985f06f, 0xa4a8c154,
+    0x6113404e, 0x652bd3c3, 0x1758e219, 0xde00d1b7, 0x1f8a0902, 0x425aee63, 0xacd9e83e, 0xc56d5cfa,
+    0xf27bb2fe, 0x9a6b50b0, 0x23a29c77, 0xf487fcb9, 0x7381d7db, 0x06f69446, 0x154c985f, 0x04ea4a8c,
+    0x3c361134, 0x219652bd, 0x1b71758e, 0x902de00d, 0xe631f8a0, 0x83e425ae, 0xcfaacd9e, 0x2fec56d5,
+    0x0b0f27bb, 0xc779a6b5, 0xcb923a29, 0x7dbf487f, 0x4467381d, 0x85f06f69, 0xa8c154c9, 0x13404ea4,
+    0x2bd3c361, 0x58e21965, 0x00d1b717, 0x8a0902de, 0x5aee631f, 0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5,
+    0x6b50b0f2, 0xa29c779a, 0x87fcb923, 0x81d7dbf4, 0xf6944673, 0x4c985f06, 0xea4a8c15, 0x36113404,
+    0x9652bd3c, 0x71758e21, 0x2de00d1b, 0x31f8a090, 0xe425aee6, 0xaacd9e83, 0xec56d5cf, 0x0f27bb2f,
+    0x79a6b50b, 0x923a29c7, 0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113,
+    0xe219652b, 0xd1b71758, 0x0902de00, 0xee631f8a, 0xe83e425a, 0x5cfaacd9, 0xb2fec56d, 0x50b0f27b,
+    0x9c779a6b, 0xfcb923a2, 0xd7dbf487, 0x94467381, 0x985f06f6, 0x4a8c154c, 0x113404ea, 0x52bd3c36,
+    0x758e2196, 0xe00d1b71, 0xf8a0902d, 0x25aee631, 0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f,
+    0x3a29c779, 0x487fcb92, 0x381d7dbf, 0x6f694467, 0x54c985f0, 0x4ea4a8c1, 0xc3611340, 0x19652bd3,
+    0xb71758e2, 0x02de00d1, 0x631f8a09, 0x3e425aee, 0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2, 0x779a6b50,
+    0xb923a29c, 0xdbf487fc, 0x467381d7, 0x5f06f694, 0x8c154c98, 0x3404ea4a, 0xbd3c3611, 0x8e219652,
+    0x0d1b7175, 0xa0902de0, 0xaee631f8, 0x9e83e425, 0xd5cfaacd, 0xbb2fec56, 0xb50b0f27, 0x29c779a6,
+    0x7fcb923a, 0x1d7dbf48, 0x69446738, 0xc985f06f, 0xa4a8c154, 0x6113404e, 0x652bd3c3, 0x1758e219,
+    0xde00d1b7, 0x1f8a0902, 0x425aee63, 0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0, 0x23a29c77,
+    0xf487fcb9, 0x7381d7db, 0x06f69446, 0x154c985f, 0x04ea4a8c, 0x3c361134, 0x219652bd, 0x1b71758e,
+    0x902de00d, 0xe631f8a0, 0x83e425ae, 0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb, 0xc779a6b5, 0xcb923a29,
+    0x7dbf487f, 0x4467381d, 0x85f06f69, 0xa8c154c9, 0x13404ea4, 0x2bd3c361, 0x58e21965, 0x00d1b717,
+    0x8a0902de, 0x5aee631f, 0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2, 0xa29c779a, 0x87fcb923,
+    0x81d7dbf4, 0xf6944673, 0x4c985f06, 0xea4a8c15, 0x36113404, 0x9652bd3c, 0x71758e21, 0x2de00d1b,
+    0x31f8a090, 0xe425aee6, 0xaacd9e83, 0xec56d5cf, 0x0f27bb2f, 0x79a6b50b, 0x923a29c7, 0xbf487fcb,
+    0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758, 0x0902de00,
+    0xee631f8a, 0xe83e425a, 0x5cfaacd9, 0xb2fec56d, 0x50b0f27b, 0x9c779a6b, 0xfcb923a2, 0xd7dbf487,
+    0x94467381, 0x985f06f6, 0x4a8c154c, 0x113404ea, 0x52bd3c36, 0x758e2196, 0xe00d1b71, 0xf8a0902d,
+    0x25aee631, 0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f, 0x3a29c779, 0x487fcb92, 0x381d7dbf,
+    0x6f694467, 0x54c985f0, 0x4ea4a8c1, 0xc3611340, 0x19652bd3, 0xb71758e2, 0x02de00d1, 0x631f8a09,
+    0x3e425aee, 0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2, 0x779a6b50, 0xb923a29c, 0xdbf487fc, 0x467381d7,
+    0x5f06f694, 0x8c154c98, 0x3404ea4a, 0xbd3c3611, 0x8e219652, 0x0d1b7175, 0xa0902de0, 0xaee631f8,
+    0x9e83e425, 0xd5cfaacd, 0xbb2fec56, 0xb50b0f27, 0x29c779a6, 0x7fcb923a, 0x1d7dbf48, 0x69446738,
+    0xc985f06f, 0xa4a8c154, 0x6113404e, 0x652bd3c3, 0x1758e219, 0xde00d1b7, 0x1f8a0902, 0x425aee63,
+    0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0, 0x23a29c77, 0xf487fcb9, 0x7381d7db, 0x06f69446,
+    0x154c985f, 0x04ea4a8c, 0x3c361134, 0x219652bd, 0x1b71758e, 0x902de00d, 0xe631f8a0, 0x83e425ae,
+    0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb, 0xc779a6b5, 0xcb923a29, 0x7dbf487f, 0x4467381d, 0x85f06f69,
+    0xa8c154c9, 0x13404ea4, 0x2bd3c361, 0x58e21965, 0x00d1b717, 0x8a0902de, 0x5aee631f, 0xd9e83e42,
+    0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2, 0xa29c779a, 0x87fcb923, 0x81d7dbf4, 0xf6944673, 0x4c985f06,
+    0xea4a8c15, 0x36113404, 0x9652bd3c, 0x71758e21, 0x2de00d1b, 0x31f8a090, 0xe425aee6, 0xaacd9e83,
+    0xec56d5cf, 0x0f27bb2f, 0x79a6b50b, 0x923a29c7, 0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985,
+    0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758, 0x0902de00, 0xee631f8a, 0xe83e425a, 0x5cfaacd9,
+    0xb2fec56d, 0x50b0f27b, 0x9c779a6b, 0xfcb923a2, 0xd7dbf487, 0x94467381, 0x985f06f6, 0x4a8c154c,
+    0x113404ea, 0x52bd3c36, 0x758e2196, 0xe00d1b71, 0xf8a0902d, 0x25aee631, 0xcd9e83e4, 0x56d5cfaa,
+    0x27bb2fec, 0xa6b50b0f, 0x3a29c779, 0x487fcb92, 0x381d7dbf, 0x6f694467, 0x54c985f0, 0x4ea4a8c1,
+    0xc3611340, 0x19652bd3, 0xb71758e2, 0x02de00d1, 0x631f8a09, 0x3e425aee, 0xfaacd9e8, 0xfec56d5c,
+    0xb0f27bb2, 0x779a6b50, 0xb923a29c, 0xdbf487fc, 0x467381d7, 0x5f06f694, 0x8c154c98, 0x3404ea4a,
+    0xbd3c3611, 0x8e219652, 0x0d1b7175, 0xa0902de0, 0xaee631f8, 0x9e83e425, 0xd5cfaacd, 0xbb2fec56,
+    0xb50b0f27, 0x29c779a6, 0x7fcb923a, 0x1d7dbf48, 0x69446738, 0xc985f06f, 0xa4a8c154, 0x6113404e,
+    0x652bd3c3, 0x1758e219, 0xde00d1b7, 0x1f8a0902, 0x425aee63, 0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe,
+    0x9a6b50b0, 0x23a29c77, 0xf487fcb9, 0x7381d7db, 0x06f69446, 0x154c985f, 0x04ea4a8c, 0x3c361134,
+    0x219652bd, 0x1b71758e, 0x902de00d, 0xe631f8a0, 0x83e425ae, 0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb,
+    0xc779a6b5, 0xcb923a29, 0x7dbf487f, 0x4467381d, 0x85f06f69, 0xa8c154c9, 0x13404ea4, 0x2bd3c361,
+    0x58e21965, 0x00d1b717, 0x8a0902de, 0x5aee631f, 0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2,
+    0xa29c779a, 0x87fcb923, 0x81d7dbf4, 0xf6944673, 0x4c985f06, 0xea4a8c15, 0x36113404, 0x9652bd3c,
+    0x71758e21, 0x2de00d1b, 0x31f8a090, 0xe425aee6, 0xaacd9e83, 0xec56d5cf, 0x0f27bb2f, 0x79a6b50b,
+    0x923a29c7, 0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b,
+    0xd1b71758, 0x0902de00, 0xee631f8a, 0xe83e425a, 0x5cfaacd9, 0xb2fec56d, 0x50b0f27b, 0x9c779a6b,
+    0xfcb923a2, 0xd7dbf487, 0x94467381, 0x985f06f6, 0x4a8c154c, 0x113404ea, 0x52bd3c36, 0x758e2196,
+    0xe00d1b71, 0xf8a0902d, 0x25aee631, 0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f, 0x3a29c779,
+    0x487fcb92, 0x381d7dbf, 0x6f694467, 0x54c985f0, 0x4ea4a8c1, 0xc3611340, 0x19652bd3, 0xb71758e2,
+    0x02de00d1, 0x631f8a09, 0x3e425aee, 0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2, 0x779a6b50, 0xb923a29c,
+    0xdbf487fc, 0x467381d7, 0x5f06f694, 0x8c154c98, 0x3404ea4a, 0xbd3c3611, 0x8e219652, 0x0d1b7175,
+    0xa0902de0, 0xaee631f8, 0x9e83e425, 0xd5cfaacd, 0xbb2fec56, 0xb50b0f27, 0x29c779a6, 0x7fcb923a,
+    0x1d7dbf48, 0x69446738, 0xc985f06f, 0xa4a8c154, 0x6113404e, 0x652bd3c3, 0x1758e219, 0xde00d1b7,
+    0x1f8a0902, 0x425aee63, 0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0, 0x23a29c77, 0xf487fcb9,
+    0x7381d7db, 0x06f69446, 0x154c985f, 0x04ea4a8c, 0x3c361134, 0x219652bd, 0x1b71758e, 0x902de00d,
+    0xe631f8a0, 0x83e425ae, 0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb, 0xc779a6b5, 0xcb923a29, 0x7dbf487f,
+    0x4467381d, 0x85f06f69, 0xa8c154c9, 0x13404ea4, 0x2bd3c361, 0x58e21965, 0x00d1b717, 0x8a0902de,
+    0x5aee631f, 0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2, 0xa29c779a, 0x87fcb923, 0x81d7dbf4,
+    0xf6944673, 0x4c985f06, 0xea4a8c15, 0x36113404, 0x9652bd3c, 0x71758e21, 0x2de00d1b, 0x31f8a090,
+    0xe425aee6, 0xaacd9e83, 0xec56d5cf, 0x0f27bb2f, 0x79a6b50b, 0x923a29c7, 0xbf487fcb, 0x67381d7d,
+    0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758, 0x0902de00, 0xee631f8a,
+    0xe83e425a, 0x5cfaacd9, 0xb2fec56d, 0x50b0f27b, 0x9c779a6b, 0xfcb923a2, 0xd7dbf487, 0x94467381,
+    0x985f06f6, 0x4a8c154c, 0x113404ea, 0x52bd3c36, 0x758e2196, 0xe00d1b71, 0xf8a0902d, 0x25aee631,
+    0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec, 0xa6b50b0f, 0x3a29c779, 0x487fcb92, 0x381d7dbf, 0x6f694467,
+    0x54c985f0, 0x4ea4a8c1, 0xc3611340, 0x19652bd3, 0xb71758e2, 0x02de00d1, 0x631f8a09, 0x3e425aee,
+    0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2, 0x779a6b50, 0xb923a29c, 0xdbf487fc, 0x467381d7, 0x5f06f694,
+    0x8c154c98, 0x3404ea4a, 0xbd3c3611, 0x8e219652, 0x0d1b7175, 0xa0902de0, 0xaee631f8, 0x9e83e425,
+    0xd5cfaacd, 0xbb2fec56, 0xb50b0f27, 0x29c779a6, 0x7fcb923a, 0x1d7dbf48, 0x69446738, 0xc985f06f,
+    0xa4a8c154, 0x6113404e, 0x652bd3c3, 0x1758e219, 0xde00d1b7, 0x1f8a0902, 0x425aee63, 0xacd9e83e,
+    0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0, 0x23a29c77, 0xf487fcb9, 0x7381d7db, 0x06f69446, 0x154c985f,
+    0x04ea4a8c, 0x3c361134, 0x219652bd, 0x1b71758e, 0x902de00d, 0xe631f8a0, 0x83e425ae, 0xcfaacd9e,
+    0x2fec56d5, 0x0b0f27bb, 0xc779a6b5, 0xcb923a29, 0x7dbf487f, 0x4467381d, 0x85f06f69, 0xa8c154c9,
+    0x13404ea4, 0x2bd3c361, 0x58e21965, 0x00d1b717, 0x8a0902de, 0x5aee631f, 0xd9e83e42, 0x6d5cfaac,
+    0x7bb2fec5, 0x6b50b0f2, 0xa29c779a, 0x87fcb923, 0x81d7dbf4, 0xf6944673, 0x4c985f06, 0xea4a8c15,
+    0x36113404, 0x9652bd3c, 0x71758e21, 0x2de00d1b, 0x31f8a090, 0xe425aee6, 0xaacd9e83, 0xec56d5cf,
+    0x0f27bb2f, 0x79a6b50b, 0x923a29c7, 0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8,
+    0xd3c36113, 0xe219652b, 0xd1b71758, 0x0902de00, 0xee631f8a, 0xe83e425a, 0x5cfaacd9, 0xb2fec56d,
+    0x50b0f27b, 0x9c779a6b, 0xfcb923a2, 0xd7dbf487, 0x94467381, 0x985f06f6, 0x4a8c154c, 0x113404ea,
+    0x52bd3c36, 0x758e2196, 0xe00d1b71, 0xf8a0902d, 0x25aee631, 0xcd9e83e4, 0x56d5cfaa, 0x27bb2fec,
+    0xa6b50b0f, 0x3a29c779, 0x487fcb92, 0x381d7dbf, 0x6f694467, 0x54c985f0, 0x4ea4a8c1, 0xc3611340,
+    0x19652bd3, 0xb71758e2, 0x02de00d1, 0x631f8a09, 0x3e425aee, 0xfaacd9e8, 0xfec56d5c, 0xb0f27bb2,
+    0x779a6b50, 0xb923a29c, 0xdbf487fc, 0x467381d7, 0x5f06f694, 0x8c154c98, 0x3404ea4a, 0xbd3c3611,
+    0x8e219652, 0x0d1b7175, 0xa0902de0, 0xaee631f8, 0x9e83e425, 0xd5cfaacd, 0xbb2fec56, 0xb50b0f27,
+    0x29c779a6, 0x7fcb923a, 0x1d7dbf48, 0x69446738, 0xc985f06f, 0xa4a8c154, 0x6113404e, 0x652bd3c3,
+    0x1758e219, 0xde00d1b7, 0x1f8a0902, 0x425aee63, 0xacd9e83e, 0xc56d5cfa, 0xf27bb2fe, 0x9a6b50b0,
+    0x23a29c77, 0xf487fcb9, 0x7381d7db, 0x06f69446, 0x154c985f, 0x04ea4a8c, 0x3c361134, 0x219652bd,
+    0x1b71758e, 0x902de00d, 0xe631f8a0, 0x83e425ae, 0xcfaacd9e, 0x2fec56d5, 0x0b0f27bb, 0xc779a6b5,
+    0xcb923a29, 0x7dbf487f, 0x4467381d, 0x85f06f69, 0xa8c154c9, 0x13404ea4, 0x2bd3c361, 0x58e21965,
+    0x00d1b717, 0x8a0902de, 0x5aee631f, 0xd9e83e42, 0x6d5cfaac, 0x7bb2fec5, 0x6b50b0f2, 0xa29c779a,
+    0x87fcb923, 0x81d7dbf4, 0xf6944673, 0x4c985f06, 0xea4a8c15, 0x36113404, 0x9652bd3c, 0x71758e21,
+    0x2de00d1b, 0x31f8a090, 0xe425aee6, 0xaacd9e83, 0xec56d5cf, 0x0f27bb2f, 0x79a6b50b, 0x923a29c7,
+    0xbf487fcb, 0x67381d7d, 0xf06f6944, 0xc154c985, 0x404ea4a8, 0xd3c36113, 0xe219652b, 0xd1b71758,
+    0x00000000,
+    0xfffffff1, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000004 */
+  { 0x00000000,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7,
+    0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70,
+    0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a,
+    0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3,
+    0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d, 0xd70a3d70, 0x0a3d70a3, 0x3d70a3d7, 0x70a3d70a, 0xa3d70a3d,
+    0x00000000,
+    0xfffffff8, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000002 */
+  { 0x00000000,
+    0xcccccccd, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0x00000000,
+    0xfffffffb, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x3fffffff,
+    0x00000000 }  /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000001 */
+};
+
+#else  /* BITS_PER_EMUSHORT != 32 */
+#error ei_mtens_256_emu32lsb.dfn: ERROR: Failed size of EMUSHORT data type.
+#endif /* BITS_PER_EMUSHORT == 32 */
+
+#endif /* __REAL_EINTERNAL_MTENS_256_32LSB */
diff --git a/mpu/etens/emu32768/ei_mtens_256_emu32msb.dfn b/mpu/etens/emu32768/ei_mtens_256_emu32msb.dfn
new file mode 100644
index 0000000..f0172a4
--- /dev/null
+++ b/mpu/etens/emu32768/ei_mtens_256_emu32msb.dfn
@@ -0,0 +1,67208 @@
+
+#ifndef   __REAL_EINTERNAL_MTENS_256_32MSB
+#define   __REAL_EINTERNAL_MTENS_256_32MSB
+
+#if BITS_PER_EMUSHORT == 32
+
+static EMUSHORT _ei_mtens_32768_[NTEN_32768+1][NPIR_32768] =
+{
+/*   Sign                  */
+/*   Exponent              */
+/*   hgw                   */
+/*   S i g n i f i c a n d */
+/*   lgw                   */
+  { 0x00000000,
+    0x0ad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e98,
+    0xbe66bc08, 0x588ab831, 0x7076d055, 0x2714bd0a, 0x7af2846d, 0xfea68d6a, 0xcc03a74c, 0xac27f31e,
+    0x00000000,
+    0xb635e117, 0xadfdf86d, 0xcb39fdf0, 0xef614324, 0xce99d101, 0x863a0d06, 0x2cb0a41a, 0x3fec8a2b,
+    0xa5e88413, 0x215e5b2c, 0x3bfed1af, 0x3c89d249, 0x1caf9d91, 0x153e649c, 0x26a66aaa, 0xd14e39e2,
+    0x8e6723b5, 0x71fe8f4e, 0xbb5a4fbc, 0xdd5e2934, 0x32d97008, 0xd07ecc3e, 0xf28a98b7, 0x55bdbf33,
+    0x7e8ba3e1, 0xefa659fa, 0x726c8c7b, 0xf0d49118, 0x0700341b, 0xed6cc263, 0xd00f9eb5, 0xfcf8a80a,
+    0x7ce65933, 0xcc400904, 0x4d70ac0e, 0x65db1145, 0xe4a583bf, 0x98e8e826, 0x150c7195, 0x2a910e5b,
+    0x2036bc80, 0x6b6ec1f0, 0xdc1872fb, 0xef977b84, 0x11bf9ac8, 0xe834dccc, 0x78e6df16, 0x04cd2503,
+    0x2363c465, 0x730d963b, 0x46572a83, 0x3ba636b7, 0xf508d9fa, 0x51f19455, 0x87816834, 0xad77a434,
+    0x8a6d1498, 0xa3d0804e, 0x5283a141, 0xdb79dadb, 0xf05a91f4, 0x4caaa45e, 0xbe609b64, 0xb09a722e,
+    0x6549eabd, 0x05338df5, 0xe65fabf1, 0x42d90da9, 0xebc9665f, 0x045e327c, 0xcda52b8e, 0xeb355269,
+    0xa8440964, 0xbdc0ec14, 0xeaa7f3d5, 0x7526127e, 0xdf580988, 0xb968665d, 0x276e090c, 0x7af9db6c,
+    0x19a42422, 0xe80fbbf6, 0x5855f94c, 0x485d24ed, 0x6368e3f6, 0x52c3309d, 0x7a8a3674, 0xaa4a2984,
+    0x5fa8fe92, 0x6c446e06, 0xdb7e80f4, 0x685f3a83, 0x14ab35de, 0xa0ba33ab, 0x09352e9a, 0xdddf6e3f,
+    0xecc49233, 0xfd5d0109, 0xa2cb1981, 0x06cd7bf5, 0x005e0b56, 0x8a75a657, 0xd88e5661, 0x80d128a5,
+    0xbb1ebf96, 0xeb0dc6c8, 0x37c5225c, 0x5fdc1a1c, 0x1950c82a, 0x02334490, 0x395ed79e, 0x17e0dbea,
+    0xcb5fbc69, 0x64d1a1e0, 0xc4c84482, 0x567f4db4, 0x6c03ca40, 0x99d0cffd, 0xd3c060a1, 0xde8d094d,
+    0xb779546b, 0x9378bcb2, 0x62a7cafb, 0xac1a7b7c, 0x8af5c8bf, 0x25faebac, 0x70d90876, 0x82fe98b9,
+    0x759baafc, 0x941ac9bb, 0x8d266720, 0x80558bdd, 0x0e3720fc, 0x2c4d0ab1, 0xf85fd3e8, 0xf99c66b3,
+    0x705ee7e8, 0x88289ab1, 0x8c90d93d, 0x4db2c00f, 0x5970cdbb, 0xb2985df2, 0x6f062d18, 0xa50277dd,
+    0xc2712407, 0x0a8f58ed, 0xd9549f5b, 0x16e07cff, 0x1621058a, 0xef92d845, 0xdd2f3d63, 0x79b0c936,
+    0xb11c451c, 0x2dc9569d, 0x7f99bb5b, 0xfae2db5a, 0x0c15a5d4, 0xc3fa7757, 0x729832da, 0xbca07453,
+    0x29483996, 0x6ddf7021, 0x73374738, 0xe106512b, 0xd4b0a510, 0x6cacc7b6, 0x3d14f82c, 0xb51f5b9c,
+    0x5d2f312a, 0xd4fae14e, 0x9631ce24, 0x4c34c1e7, 0x24076565, 0x4391c311, 0x663d0d80, 0xa43ba40f,
+    0xe9d0bfea, 0x8d3cd817, 0xe0d52ebf, 0x467ce158, 0x047605f5, 0xe6689fc5, 0x35f4866a, 0x89fe1aff,
+    0xb3a6a885, 0xf80be1e6, 0x971887c5, 0x8fe44552, 0x539186a7, 0x47afa53a, 0x989e6874, 0x982e82bc,
+    0x8dc876ba, 0xdd653a75, 0x2954f43c, 0x10eb8746, 0xac0d056a, 0x6ade53d8, 0xc7206102, 0x18006e49,
+    0x934941a7, 0xcb507af1, 0xadf8f22a, 0x9a4ab232, 0xd350b490, 0xb036f433, 0xf43cc3fc, 0xe686b4b4,
+    0x046437db, 0x67b49227, 0xf1c23b27, 0x007c8198, 0x2f9d3ca1, 0x9e86b3b4, 0xfaad2543, 0x8b188387,
+    0x15c1aa67, 0xcd2eeeb6, 0x26c695e0, 0x9b9b8b47, 0x35361722, 0x2d09bddd, 0x69ac89e8, 0xcdcfcf57,
+    0x877fdab2, 0x719eb36f, 0x5926897c, 0x19627533, 0x44069199, 0xf11aced7, 0x41bf5e4f, 0x10fda772,
+    0x87d3c48c, 0x4c0cd196, 0xc8520db3, 0xa17403fa, 0x0b77d4e6, 0x83dcfa93, 0xb99a4623, 0x4da87580,
+    0xfe636c55, 0x751d2f64, 0x48353f48, 0xe5c0e131, 0xd0dbce99, 0x9869f553, 0xdafdec37, 0xbc06798b,
+    0x50144643, 0xbc07f2bb, 0xc7cfb624, 0x6c499b90, 0x6eaca8b4, 0xf5c162f7, 0x0dcdf620, 0xa72dd658,
+    0x057a0727, 0x6a4f1e38, 0x5984f64f, 0xfb9045ad, 0x8b74f500, 0x53336c1a, 0x72e5048d, 0xa0ea827e,
+    0x79daaa62, 0x8f9dac32, 0x822d466b, 0xd1dca477, 0x7b2ab4ae, 0x07e4be81, 0x09c5f423, 0xc89d717c,
+    0x03ced956, 0xbebc4a41, 0x70eb93de, 0x8dd962c5, 0xf288f0ac, 0x73522eb1, 0xc05ad580, 0xc4f68ff9,
+    0xb0509cb9, 0xcf64ddd5, 0xccc93abd, 0xd2953946, 0xb48c94ee, 0x873fb8a4, 0x2fea2a2d, 0x6f69209c,
+    0x7de387f6, 0xb6d561cf, 0x369bb141, 0xdc6ea221, 0x70c19047, 0x52ae2b42, 0xd2d0d5b4, 0x80f21e6f,
+    0xc2ccefa3, 0x45b8d73f, 0x759c4bba, 0xbffd2e73, 0x6d157bb6, 0x9f8b7562, 0x10d3068d, 0x188342cc,
+    0x4df8ff34, 0xf1320426, 0x28f97aec, 0x29c950f9, 0x4dd118c3, 0x312274b5, 0x8e6fc3f6, 0x017578cd,
+    0x54e25c37, 0xa9fa383f, 0x82a4ac69, 0x782be01a, 0x84a96a1f, 0xbf33c465, 0x8681f9ee, 0x5b059e74,
+    0xf3123838, 0xf11a92b6, 0xe71bf446, 0x30c2ef6e, 0xa2c29413, 0x8658fa24, 0xac2956d8, 0x1fb49e66,
+    0x2e3dcf93, 0x03ef6075, 0x4f47917f, 0x0d1542dc, 0xca53ef9e, 0x6caaf72b, 0xbcd1a9e0, 0xc65c85fa,
+    0x625706cd, 0x2a64ea52, 0xa3cb40fc, 0x91980456, 0x246e6872, 0xbf82cf1f, 0x9796dafa, 0xd2dc3a6d,
+    0x12daed3f, 0xfea944cb, 0x79b58afb, 0x6f53e664, 0xdec083ad, 0x1d6b3f4d, 0xe116004d, 0x33dde072,
+    0xb1ccb10c, 0xfff90c7c, 0x6814ed86, 0x4605ad13, 0xa05b7377, 0xe9000193, 0x7e039543, 0x521c0da5,
+    0x267b7664, 0x7619e094, 0x940c0217, 0x05592607, 0xecc6a9cb, 0x9206616e, 0x9efd63d9, 0xe646c455,
+    0xbcc7a1c5, 0x9bf3fae4, 0xc88f9f04, 0xfbb34624, 0xb4419022, 0x0f0d33d7, 0xad682776, 0x46abe2b1,
+    0x590c1d2c, 0xcdde2bb5, 0xbb424036, 0x75e954a7, 0x22cc3bff, 0xacc13bb2, 0x059cf54d, 0x4b640744,
+    0x69a032b5, 0x25ef0fdd, 0xd7c5613b, 0x20595fc9, 0x9f46ca8e, 0xa126ad96, 0xea836964, 0x4246b0d5,
+    0x21df5c65, 0xebabf16f, 0x41c52eb4, 0x0105c4b1, 0x1226a564, 0x2130495f, 0xa1858d9d, 0x5a181f9c,
+    0x29f89570, 0x62a236ae, 0x67c76cd9, 0xd8745cb1, 0x2bbb0e1e, 0xe2c8de02, 0x8c8de059, 0x45bb2d95,
+    0xc964e4dd, 0xea073459, 0x02fa0302, 0x38a46b41, 0x38c5eecd, 0x8e8f8d7e, 0xf98cb679, 0x082b3419,
+    0xe966c8de, 0x5d6c0e26, 0x0a78053f, 0x2287da16, 0x358aff9a, 0xb09e60b0, 0x60bbd04c, 0x42532e69,
+    0x244eb87b, 0xdfd33949, 0xa9738f6d, 0xb445a22c, 0xb386a777, 0xab8ad39f, 0x18c6aa87, 0xfe2a1fd4,
+    0x1b8e71cd, 0xd1bd2ba7, 0xf0efabe1, 0x33182684, 0x420ba0e2, 0xa1ce5055, 0x083d96d2, 0x3dd38957,
+    0x36a1cea9, 0x452ac8f3, 0x60be9a77, 0x16443898, 0xbaa8074c, 0xb755da68, 0x2e006216, 0xe946e2c9,
+    0xfec091a7, 0x261546c5, 0x212cbc73, 0xa71db21e, 0x95753487, 0xb7c1d9fa, 0xd595bc4a, 0x2b299ee6,
+    0xe9533752, 0x2ba8b3fc, 0xd505bc1b, 0x4c9979bc, 0xaae5cd17, 0xcdecd17d, 0x82195616, 0xc04dbb1c,
+    0xab044ab9, 0x93996621, 0x28a6143c, 0x8c733c67, 0x98b0eebf, 0x290e5bc3, 0x838f7231, 0xe2618969,
+    0x54082f6c, 0x0465b986, 0xa15eaec5, 0xb07073aa, 0x05c70f12, 0xd5117a92, 0x01b9d5c4, 0xb1b87d5a,
+    0xb7946d2f, 0x67447b6b, 0xe0107a19, 0xf7145f87, 0xbc11e8b7, 0x8fea8bd1, 0x7063d770, 0x60432148,
+    0xab5e5d78, 0xdabb196b, 0x6df56427, 0xb0a7c798, 0xd0e89940, 0xa4360794, 0x3d5268ac, 0xb6959f2c,
+    0x55e02e97, 0xa33d9d1d, 0xf2b99ab7, 0x72c73f34, 0x1bd1dfab, 0x70c5eaa9, 0x49c1899d, 0x60d564a4,
+    0x3f25c359, 0x4ff3752f, 0x030b637f, 0x360bf81b, 0xa9fd23f7, 0x7c3a00b8, 0x7e6ec3ad, 0x91680b53,
+    0xef2aa16d, 0x42673bc7, 0xa9a81437, 0xfb004ca0, 0xe2dbb8c9, 0xb7b21f71, 0xb80661ae, 0x4fadb678,
+    0x199fdf73, 0x55e9dd71, 0x153da06c, 0x0fc8c885, 0xb6f69e02, 0x081163e0, 0xfc8c7a2b, 0xfef0c463,
+    0xbc2a21f2, 0x3c4ecabb, 0xdb54ca38, 0x50e5cad6, 0xef2a920b, 0x01a32c9b, 0x900169f3, 0x5a750eea,
+    0xdf923868, 0xdbf39348, 0xb07882e4, 0x2ef06542, 0xe3ab8d45, 0x9794e227, 0xa5b478fc, 0x335ad622,
+    0x8705d3e3, 0x6b3a80a3, 0xe5b1259d, 0xe5a7ce6f, 0x1a82a0cc, 0x005d9cf8, 0xdeb3a432, 0x757cf50e,
+    0x1f852735, 0x5c10e052, 0x48d8ca2d, 0x252aa4d0, 0xb5bbeb62, 0x1801dfa9, 0x46e02e3a, 0x80dc3718,
+    0x0e3becd6, 0xb819a847, 0x87749b3a, 0xd9fa4895, 0x6e1de737, 0x9818f4bd, 0x4b7e52ef, 0x7bd6fb36,
+    0x643d6994, 0x23c5fa90, 0x71a7374f, 0x6357b680, 0x04ceda3e, 0x9d53737c, 0x4b5f90f9, 0xa1d1851e,
+    0x51de9180, 0x80ba6820, 0x13964e9a, 0x15b4fdd7, 0x7713d4f8, 0x15208d7e, 0x498780fc, 0x87675968,
+    0xd813155f, 0xb22be67f, 0xa6e008c1, 0xf8c868a7, 0xa25b025a, 0xef8cc626, 0x326dfbe4, 0x5e5b6dfd,
+    0xd9d3f635, 0x6817c88d, 0xdf38fe24, 0x7d28e66b, 0x4fb5fcb7, 0xf4c19419, 0xceaf07be, 0xa3e3b877,
+    0x59cdccdd, 0xc9466da4, 0xed2df808, 0x779603c4, 0xaaaa1523, 0x98f3c074, 0xd57803a9, 0x5bc951f5,
+    0xd71618d2, 0x885e9656, 0xad1e7def, 0x97aab6b9, 0xc04a2046, 0xaadff5e5, 0x976051a0, 0x23ee6115,
+    0xc07b4caa, 0x771bd5c3, 0x954c0e14, 0x6dfaa890, 0x4eeb6496, 0x82a4f9b9, 0x9eda0b9d, 0x44d2e256,
+    0x3c4646ad, 0xfb40d393, 0x7dafb331, 0xc232cb10, 0x71341106, 0x2b71d293, 0xcc1a4858, 0x6bcb3c36,
+    0x6058c7b9, 0x20411899, 0x60c4f6e5, 0xb915f924, 0xa35567a0, 0x83a7b0fb, 0x8fbd2782, 0xb84ceca8,
+    0x78a6868d, 0xc3680f8b, 0x51c923b0, 0xa0cc2066, 0xf8de2bc4, 0x9771a851, 0x5a2f6c46, 0x39515816,
+    0xc822ef8c, 0x3db519ee, 0x2fb558b0, 0x34e18895, 0x959d9486, 0x31e8d477, 0xdf022c2a, 0x13b7f31c,
+    0x1d4c2a29, 0xf8c2385c, 0x26d550c8, 0x0d57f12e, 0x76ed4cf1, 0xfa346ec5, 0x6d1e35f5, 0xf0b248a2,
+    0x162df9f9, 0x421d67b8, 0x76c6a931, 0x2602addd, 0x089789fe, 0x206bc36f, 0x06ea58da, 0xcc342c45,
+    0xd69d473f, 0xd880cc70, 0x27a14c98, 0x1ac4c0ec, 0x581bb576, 0xc36e1cb4, 0x7707c15f, 0xdd6b11c7,
+    0x7151e525, 0xa1d6bf3d, 0x284ef261, 0x4fcbf396, 0xf28749e0, 0x11575f27, 0x017a49ea, 0x075c480b,
+    0xa7f87687, 0xae950df5, 0xce047ed5, 0x9f1ae8d5, 0x828b2a8b, 0xd5c9abf0, 0xc4680e4c, 0x10642bcf,
+    0xd86c315d, 0x89818ed3, 0x9c2eaa6c, 0xff3fe779, 0xa2619918, 0x4413b83b, 0xa30befe4, 0xd1386a71,
+    0xb5faef31, 0xd4578651, 0xb558d32d, 0xf6cbc0f5, 0xa39652b9, 0xd11e4d76, 0x746ab629, 0x4a3cca59,
+    0x3e071540, 0x5822c0cc, 0x57e48f30, 0x49cc8708, 0xaab9f86f, 0x624ad733, 0x735d7338, 0xa039cfe3,
+    0xc24f750f, 0x50632de0, 0x1ffa9ce0, 0xb01bd015, 0x79b02bf1, 0x6f5232f4, 0x9251ebdf, 0x71d001df,
+    0xae3c3dc6, 0xefe83c00, 0xfffd9a76, 0xfa429fd3, 0xa33c0f60, 0x36a2f86f, 0xd874f9cc, 0x0e445b73,
+    0xd2e4174c, 0xf991aa42, 0x8f74ce21, 0xace75c8e, 0x66f0b7f5, 0x42feb573, 0x34a8993e, 0xe01e4a5a,
+    0x922fe7ef, 0x086849a9, 0xb37b1d94, 0x212ac6da, 0xdacc7399, 0xbb6e341d, 0x6d9416e4, 0x61d3c32e,
+    0x881923ba, 0xc4d2e0d7, 0xdc2d2aad, 0x7e039be7, 0xdcfd9f26, 0x689ff017, 0xf1ea0809, 0x967cf947,
+    0xc2ae00d7, 0x9ff4c96e, 0xc7b8d552, 0x7d12d69a, 0xf18e0bdc, 0x84e1c6de, 0x92c92ab7, 0x6bdb8709,
+    0xfca17553, 0x4f25905b, 0xc3f5f302, 0xec1d2884, 0x411636fb, 0x4cede3d7, 0x1f80022b, 0xca08ecd1,
+    0x02c16a3b, 0x3bc61d96, 0xf573b72a, 0xb239036a, 0x865817f9, 0x70ff1a1e, 0xbbaef7ed, 0x46a816dc,
+    0x6c6c476e, 0x9cc7120d, 0xc1a25b8f, 0x52f413be, 0x3a495a00, 0x0fcbb991, 0x3f141d75, 0x6e2c5b45,
+    0xed1de24f, 0x1f6315a6, 0x915bcd65, 0x338a5933, 0x0520382b, 0xa3272265, 0x3f88f41e, 0x9d596dc5,
+    0x347fb460, 0xfb9fa45e, 0xd205766b, 0x9ac44cee, 0xa838a2a5, 0x7b41e8ce, 0xd0d37e0f, 0x4ee440c2,
+    0x79104d17, 0xa4c0fcbb, 0xd34f57c6, 0x107359e1, 0xaf9f96c3, 0x229e2003, 0x7a3d7017, 0x2a9b2743,
+    0x53bc8226, 0x3989fbcd, 0x8884f01b, 0x9803b5e7, 0x6f48b79f, 0xb91021ad, 0x94c38d84, 0x4c1af2a9,
+    0xaf7584bc, 0x856ed082, 0x75ba5a05, 0x5791158a, 0x19b48791, 0xee7565ad, 0xe0fc7cc1, 0x6a15454f,
+    0x82981133, 0x7c6a12e5, 0x6693b5a1, 0x7a06fbce, 0x3cf4c979, 0x9c7b9743, 0xe3710767, 0xb43b9a53,
+    0x9f06fe4a, 0x82f51df8, 0xb67d2619, 0x6e1d2d4f, 0xcccd396c, 0x6add6da7, 0x93df722a, 0x7b0e0e83,
+    0xbfad748e, 0x2c4be060, 0xf3ae0c1a, 0xef7a7a54, 0xa123db16, 0x3fffe2df, 0x161496cc, 0x593d8d52,
+    0x5f7f8ea3, 0xed3f73af, 0xd6afff4e, 0x325946fc, 0xeb9833a1, 0xf03382d0, 0x098f07eb, 0x2643c17b,
+    0x3f70eb5a, 0x5727cb4b, 0x00dab6a6, 0x1f1e40c0, 0xe46cdbe1, 0x4b289e5b, 0x8b4f0cf3, 0xbfab82d7,
+    0xfd4a729f, 0x640e37c5, 0x0edc0956, 0xb8f87581, 0x46676e36, 0x1a1b8a6c, 0xd9d19339, 0x66fc849e,
+    0x668bd0e0, 0x35fbb619, 0x61caee17, 0xf9224775, 0x57e13f9b, 0x9f9a9b27, 0x52b530b1, 0x457122f0,
+    0x433402a7, 0x7dbd50e9, 0xd1bf28de, 0x389b790e, 0x569bd2c0, 0x40db3a77, 0x5f95c156, 0x574334c1,
+    0x87ef0340, 0xbf2d8f21, 0x9c24ec46, 0xcb503796, 0xf1ca4f2f, 0x25cd66f2, 0xcc984067, 0x21b3dd5f,
+    0x2959ed5e, 0x70b274ea, 0x2f820f77, 0xa3b7059f, 0x2ea359a4, 0xe732314d, 0x5e67c8f9, 0x9f068b48,
+    0xc2948350, 0x0c594281, 0x22a0626f, 0xb1a6ee03, 0x0c3b9187, 0x7787fb98, 0x7848c3a8, 0xfdc94d92,
+    0xe1d414ad, 0x50463cf1, 0x03bf0381, 0x9a540887, 0x5e35a909, 0x702d1b86, 0xac9ec14d, 0xf248ba3f,
+    0x71dfbb94, 0xf0a1737f, 0x58e2a7c2, 0xbfd90f0f, 0x5b0b251a, 0xa8a03648, 0x11de1fd0, 0x647f2bb4,
+    0xf2dc4b16, 0x5f83fe7c, 0xa9d45c2a, 0xee22e6a8, 0x5adb687c, 0x8f572cff, 0x163c4287, 0x41b38c46,
+    0x18cd6afe, 0x137809ee, 0x44a8f32f, 0x3e4fc274, 0xdc979943, 0xac123d0e, 0xd5a21b21, 0xe96697c5,
+    0x02232d67, 0xa119c22e, 0x40fd22d2, 0xbf9cc82b, 0x2d7818b2, 0xfa232285, 0x8e01a18a, 0x15cb1f83,
+    0x3d0167a4, 0x49a59883, 0x35f51cc6, 0xcc719ee7, 0x770c2c26, 0x33535411, 0xa11db5ed, 0x02f6bb1d,
+    0xcf6318a0, 0x6acc3998, 0x07e46457, 0x604f8d0f, 0x556ee48d, 0x1f57ac11, 0x3ca13772, 0x5aa16101,
+    0x55e3101f, 0x92ec683f, 0x34926b0f, 0xa66b835e, 0xee01512a, 0x11a4417b, 0xa1637540, 0x6eedc060,
+    0xfd34808e, 0x579942f2, 0x3db47789, 0x40e396ea, 0x7ec06805, 0x99c4a6a9, 0x7bb1735d, 0x35ebbbe8,
+    0x233816c6, 0xc905412f, 0x7c787084, 0x1bdbe59a, 0xe95094de, 0x6b1bbacb, 0x956db31c, 0xebb53122,
+    0x37b557c5, 0x4db06a4c, 0x35c145da, 0x6baf9569, 0x151f90a2, 0x7c374024, 0x0f9eebf1, 0xdfd6a957,
+    0x00000000 }, /* 10**-08379879956214123187233765623878653829674603637870245861077225902326102518795\
+                          96686050117143635431464230626991136655378178359617675746660621652103062880256 */
+  { 0x00000000,
+    0x256cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4c,
+    0x5f335e04, 0x2c455c18, 0xb83b682a, 0x938a5e85, 0x3d794236, 0xff5346b5, 0x6601d3a6, 0x5613f98e,
+    0x00000000,
+    0xd7fa0090, 0x6b1e0753, 0xd34a646e, 0x4fa18bfc, 0x03a253a6, 0xba5a97d5, 0x87f76216, 0x7d7521d7,
+    0xeb4e6e40, 0xf0577a68, 0x561f59aa, 0x03c0ea6f, 0xde45fa27, 0x604be7de, 0xa546c675, 0x7bb180f0,
+    0xc4280978, 0x36c449d5, 0x118be5ac, 0x46d019de, 0x00a331f4, 0xa75894c6, 0x63fcbcaf, 0x9cd6b5a1,
+    0xd273d0b9, 0xef4bceb7, 0xd74fe9c9, 0xf8f0db6c, 0x6a7354da, 0x6f2ed5a1, 0x8f03c06f, 0x874e7f18,
+    0x1bf0f361, 0x597a9551, 0xc77dbe33, 0xd91d7d8f, 0xe78e7053, 0xb1216d7a, 0x7c49f5d9, 0x9e86ccd8,
+    0xfa37a512, 0x71cea764, 0x7ec69d53, 0xe3647ba0, 0x5a56c078, 0xfcf387a5, 0x972c1103, 0x975ddd90,
+    0xc0081916, 0xeb042566, 0x5b5d88dc, 0x0c58d761, 0xe9ab3a94, 0x7df148c5, 0xe44afd8b, 0x3375a2e0,
+    0x288809d9, 0xb6e54b55, 0xbdcc5c88, 0xaaaa387b, 0x89a110c6, 0xc4d1b465, 0x11ca64d6, 0x3111e408,
+    0x7ddfaab0, 0xed2742fb, 0x1607cf58, 0x9857c353, 0xf5d9ac8c, 0xbed776b3, 0xf4fca5af, 0x8a7aed1b,
+    0x49dcab56, 0x2c2d70d5, 0xe4642c5a, 0xb830a805, 0x1540c635, 0xfb78349d, 0x77283900, 0x24612092,
+    0x93533d9c, 0x223e6d4b, 0x6db8da99, 0x103b85ec, 0xa82fd012, 0xc4c32263, 0x7b4b61cc, 0xdbe5f4f5,
+    0x223acc0f, 0x96fa3e89, 0x0030c465, 0xda1dc4de, 0x9487d619, 0xf9cebfe6, 0xc38d16ea, 0xd7548580,
+    0xd6b619f4, 0x5fce295d, 0x61e1b614, 0xdd013c01, 0x41ae113a, 0x4cbff937, 0x605b65aa, 0x739098d6,
+    0xc89700b8, 0xed631586, 0xb7b1d601, 0xdaf87649, 0xae85e628, 0x3f61a2e1, 0x7771eff8, 0xd3977662,
+    0x232d9db7, 0xc6e81884, 0x226a4790, 0x93b4f45c, 0xaf7c33cd, 0xbcc98355, 0x47b1590e, 0xe0af43f0,
+    0xd5685879, 0xf90b9cc0, 0xdef16a99, 0xf301372d, 0x991b280d, 0x20d382a1, 0x29c6a039, 0x13c356aa,
+    0x2a6bd0ef, 0x9ec4dab4, 0x6aa6fda2, 0x00c29244, 0xd718632d, 0x109480b8, 0xf2b5421d, 0x80758e04,
+    0x78dc559f, 0x5bc767e1, 0x34466a8e, 0xc998ef0b, 0xaeeb0d3b, 0x0ebbee02, 0x0e349e2d, 0x6a8fb163,
+    0x8b49cbb9, 0xfa895bef, 0xb934842b, 0xe6c64bc3, 0xb31ab8a3, 0xecfd188e, 0x58b8b4c4, 0x8584c4c1,
+    0x9bbcb857, 0x5e542045, 0x7b2243f9, 0x09f47b2c, 0x3bc1ab90, 0x5c4e5652, 0x2e17dbf1, 0xce838a16,
+    0x39ed2fa4, 0xd63dad03, 0x1ded52af, 0xde49b625, 0x1d650421, 0x48cc62ba, 0x4ea5b82a, 0xce1a281b,
+    0x153a6532, 0x514254c5, 0x8e606c97, 0x3efc1f8a, 0x7e73a830, 0x903c88a7, 0xb548fd72, 0x4296d223,
+    0x929557ea, 0xe2070c80, 0x218aa4bd, 0xa26a6244, 0x7ca8322c, 0xc1b60f42, 0xa100b451, 0xc9dd4c97,
+    0x067a1f5e, 0xe2b28b38, 0x84c66a84, 0x9371bfff, 0x87b637ce, 0x4495f424, 0xff395044, 0xc87e1f24,
+    0x6582695f, 0x93ae51aa, 0x89075429, 0x1651d3e6, 0xc1c3c742, 0x117969e1, 0x15351e91, 0x0ff0ccb1,
+    0xf5e5beae, 0x786200e2, 0xde39c523, 0x339d4bd9, 0xa0ff7859, 0x381ec938, 0x13c48d21, 0xdcdbfc8c,
+    0xdbdd2aa9, 0xbe1cd924, 0x42fb382c, 0xeaa3a113, 0x9a26f6af, 0x4d693e86, 0x66e4c437, 0x3a059480,
+    0xd64a06a5, 0x8cb74381, 0x04b29baa, 0xf87c5ec2, 0x3c6bd8d5, 0x40655560, 0xc1a6f201, 0xd7b9952b,
+    0xaba76339, 0x8981bea1, 0x74a90e02, 0xde71d2fc, 0x9f48fe73, 0xfe0d0517, 0xda55d092, 0x2d295c52,
+    0x743a52b6, 0x590e195c, 0x7606be57, 0x757b6d6c, 0x209c16d0, 0x1835e1b5, 0xe2b973cf, 0x69ba6619,
+    0x90262ea0, 0x3aeb47de, 0xc2915b65, 0x7cfd6406, 0x6ba4e959, 0xa99114d9, 0x27938b82, 0xbe171762,
+    0x8444d743, 0xa967c542, 0x6932d511, 0x7ea96915, 0x14187557, 0xff5b8268, 0x05b55ee0, 0xac2d8d90,
+    0x60c305ae, 0xde9daca9, 0xe6f4310c, 0x8ce0e11e, 0x17c164d5, 0x7d3bf703, 0xd2303ea5, 0x92a6260c,
+    0x312f06b8, 0xbaa5cbdc, 0x313b4f12, 0x863a2cef, 0xc070dcb3, 0x8cbb14ce, 0x268bac3d, 0x88b78b2f,
+    0x35c60bb4, 0x7ee35fd3, 0x66bec89f, 0x56bb79b5, 0xc86e07c0, 0x42eca959, 0xcdb0a73c, 0xb649c326,
+    0x4f86628c, 0x91d782ab, 0x484d2532, 0x56a40523, 0x04cf05fc, 0xba5472b4, 0x0ae874ec, 0x9b3d937a,
+    0xc334eee3, 0x2fab8fa1, 0x484510ce, 0x474fbfa7, 0x9799aa74, 0x884b27bd, 0xe794dba8, 0x907d3bb3,
+    0x225906aa, 0x72746cb1, 0xb73a8a47, 0x8905328b, 0xe5f1fecc, 0x95e89add, 0xba1e4cc7, 0x4f288808,
+    0xd9d7b19e, 0x371b2895, 0xe638558b, 0xd395ed55, 0x5e059e1f, 0x08879419, 0x333a3698, 0xecb31776,
+    0xa8b27c16, 0x91696f3c, 0x9020ceb3, 0x510cee6b, 0xdb3539b3, 0x289b0395, 0x16a4610a, 0xb43bb821,
+    0xce0caa71, 0xe339503d, 0x177d1bb6, 0x39e66933, 0x7da76ccb, 0xc4d6d274, 0xdda25c39, 0x4d2b1e65,
+    0x8faf621b, 0x7733bd53, 0x6f8925f6, 0x6d7bcefc, 0xceaf2005, 0xf80b177f, 0x4b3723f2, 0xee02b640,
+    0xb983c041, 0x2ba7b87a, 0xb989284b, 0x9414a098, 0xc1baa17e, 0x233cb491, 0x1c4b6e1a, 0x38dd45eb,
+    0x2ab2b722, 0x1ae880d9, 0xb5047b84, 0x99becbeb, 0x8dff30b0, 0x60d19fb9, 0xcd2e71eb, 0x8e959888,
+    0x6b082dcc, 0x4824007e, 0xca2e4b89, 0x6ced2ad5, 0x4d5092b2, 0x433abdc1, 0xb62fabc3, 0x67decb45,
+    0x7c6880cb, 0x3695e732, 0x624f82cd, 0xe6f8be40, 0xb00c66df, 0x3747f589, 0x1ab8804e, 0xe160091d,
+    0x60ec0182, 0x06b26aa5, 0xd685d2e1, 0x8a8c5749, 0x505853a1, 0x83c38dbc, 0x094f302a, 0xece681e7,
+    0xf49388eb, 0x8e31f5fb, 0x460de1c2, 0xe544c2a9, 0xc5368d80, 0x1456df26, 0x2a03a4be, 0x6f61a133,
+    0x7c9d156f, 0xaa6d382c, 0x7e53bb8b, 0x803c8d83, 0xa2dfd40e, 0x83007747, 0xbe495382, 0xb9074431,
+    0x79edf64c, 0x06df1840, 0x2b80794c, 0x81570894, 0xe5a2b4e0, 0x3758d1bb, 0x0207f7c6, 0xe612735f,
+    0x504fe26c, 0x2797a077, 0x731e5c6a, 0x4a86be4d, 0x7254d49a, 0xb043b6b8, 0x258583ca, 0x90121668,
+    0x04614aa1, 0x177d124c, 0xc4d96413, 0x3994345c, 0x00931ebc, 0x65a6402b, 0xc4145351, 0x7c7439da,
+    0x27752c6a, 0xde36a14b, 0x17438c45, 0x7d86aca4, 0xf7119dbe, 0xd4c3483f, 0xe4a21ce3, 0x74cd77d5,
+    0x1f2d85c6, 0xd2b041c1, 0x9800fc0d, 0xa32e16ea, 0x2c894827, 0x44976615, 0x17d81138, 0x719c9ca9,
+    0x346dcfc7, 0x1a50f797, 0x79a006e0, 0xd026f9d3, 0xd9986a36, 0xa5564996, 0x81b446e0, 0x5921ee31,
+    0x51e99698, 0xfeed3fc8, 0xdb79f0bc, 0xb206a8c3, 0x329b7c1d, 0xac9bd91b, 0x7815af8c, 0xb83a8aa8,
+    0xcc0500bc, 0xccd4fed5, 0xefd89a84, 0xa9c82772, 0xaaca2c24, 0xb1705adc, 0xacc29980, 0x5a089a5e,
+    0xe2afdad8, 0x97bfaa68, 0xfd18de90, 0x1f5dace0, 0x842724cb, 0x43321885, 0x70d853d2, 0xee72ff9b,
+    0xb367ef4b, 0x8e9b66a7, 0x3aeb12eb, 0xe7e109bd, 0xa49ec1cb, 0x28d21246, 0x290920df, 0x14e54dcb,
+    0xc9c3db25, 0x9e6dc0af, 0x05960141, 0xf32b81b5, 0x0fae8aff, 0x5d944822, 0x3b957935, 0xa6ee41d5,
+    0xd65ddfa2, 0x126984ec, 0xa782e107, 0xd8090563, 0x0b08f6de, 0x9c63e6fc, 0x7b03b757, 0x5efebf28,
+    0xe01a75d9, 0x65130656, 0x55037abf, 0xb8ceebb3, 0xf8d1a774, 0x13cb3039, 0x1bc6a6fb, 0x2591e20b,
+    0xddb09f74, 0xa6033ef3, 0xb85af8ae, 0xd390ff3d, 0xc727d465, 0x9b90fccd, 0x942d761b, 0xb3b0a9e4,
+    0x468569d8, 0x62834d49, 0xc9ea4445, 0x09cc4ce8, 0xf2478e54, 0xe8dd2c77, 0xae539c61, 0x4bce0ef4,
+    0xc311cf6e, 0xba41aa1c, 0xe6501289, 0x02a1edcc, 0x0170ee22, 0xd83892fe, 0xfb3e6392, 0x9927d8fa,
+    0x7b20bed9, 0x00006d0f, 0xebd022e3, 0x3b01f567, 0x93f36fe7, 0x5a03b738, 0xf1679336, 0xf32b27fb,
+    0x30567a32, 0x55bd5031, 0xd777a2a6, 0x77c6aeb3, 0x81bd97f9, 0xec168cb3, 0x03de62cd, 0x27c1cc12,
+    0xc106da5c, 0xc03ec054, 0x14e8bfd0, 0x9b8e7515, 0x7a8f9ddc, 0xc8a8504b, 0xc3549d2c, 0xda8d322e,
+    0x00bd94db, 0x4dc5285e, 0x484dfcbf, 0x8ba59415, 0x67d85c4b, 0x4a62c1a6, 0x297e8b52, 0x7a6c98cc,
+    0x8e5f6f4a, 0x5196a92c, 0x02c42ba8, 0xcdec1224, 0x4222c964, 0x071c0ac2, 0xe3e3a8e6, 0x52a40cfd,
+    0xe28b85d3, 0xbdf04072, 0x83ab7c5a, 0x35cf3137, 0xa6421626, 0x3a728be2, 0xb540a715, 0x5a2aa7d8,
+    0x22bc4a10, 0x3a0d91e2, 0x745f2c7b, 0xd9b1cbdb, 0xbd9d4295, 0xf6c19c30, 0xa7b364f6, 0x0b784eb9,
+    0x327cd2e8, 0xde9a7b1f, 0x4a1a51fb, 0x5995de0a, 0x01fa71c2, 0x22fe004f, 0x2730f7c5, 0x2be081fd,
+    0x7b28b80d, 0xf8bc3ebe, 0x658dc026, 0x6828f635, 0x48464fee, 0x38fe20b7, 0x330f9483, 0x4084de8d,
+    0xc66ed3b8, 0x9411fc94, 0xfc9e1579, 0x16511ea1, 0xb260096d, 0x52b50d7a, 0xd8c41717, 0xab34f2e8,
+    0x3442037c, 0x8ff30802, 0xcf3ef640, 0x8b18cb9b, 0x544d1fcf, 0xad77e107, 0xd555ad63, 0xc829fe46,
+    0xd7617bea, 0x457aba4d, 0x8ba619ce, 0x078c94c9, 0xd60e8459, 0x1ee9003a, 0xc0439dd7, 0x7b21b385,
+    0xea5e813b, 0x727585fa, 0xba5fb8da, 0x7bbb6d0c, 0xcc1bbf6f, 0xd20fbaba, 0x39ac1fd0, 0x78ce7e74,
+    0x1cb0361a, 0x6cecf7c8, 0x868b0fa1, 0x0fdf9b3a, 0x8c3207f9, 0xc24c1b8c, 0x5d3e0ff5, 0xe106899a,
+    0x3e6bf865, 0x4b95b46a, 0xe22de374, 0x3a5e796d, 0x7f124325, 0xaa4384ae, 0x5da6b46e, 0xb523344c,
+    0x97f6f948, 0x93cfb8ff, 0x9cd85809, 0x9ec13852, 0xfd055228, 0xadc5c07e, 0x3aa49f1c, 0x49696064,
+    0xed5fb916, 0x712732d5, 0xf69b9236, 0x44995a92, 0xc51aa2db, 0x30ceeecb, 0x3edee4dc, 0x714f86c0,
+    0xcc53f932, 0xb1b54715, 0x003a2fdd, 0xa7d29ab3, 0x6dcacf49, 0xa320dd17, 0xfbdacdd1, 0x626152a3,
+    0xcfcdfa2a, 0x75ab8621, 0xcbdba3c8, 0x20a786ca, 0x880b6e50, 0x97179dd6, 0x4167fcb5, 0xbfb83b45,
+    0x1e000072, 0xe5469bce, 0xdb34e66a, 0xf4887897, 0x3b6cdff2, 0xc4b28a28, 0x854dc31e, 0x8c20089f,
+    0x5885cbd0, 0x7ef8be5a, 0x57428ef2, 0x8c366a8b, 0x734f2c59, 0x704e6c99, 0x047383d6, 0x76f77601,
+    0x3b78bb69, 0x803ebf73, 0x61edfc53, 0x400fa06d, 0x270f1e9f, 0x005df956, 0xcf46a61e, 0x8a1578a6,
+    0xdcef5b98, 0x930e2f9b, 0xc431062a, 0x78788c7c, 0xb57e4a4c, 0xe041d8e2, 0x2142abe0, 0xbcb7b840,
+    0x08051d7c, 0xc79ddbcc, 0x54c6194b, 0x54b8b73d, 0x811cf1c3, 0xca77bd71, 0xd2dfd2fe, 0x96a59a84,
+    0xdbcda78f, 0x0f80257b, 0xab068d2e, 0xb720c1c1, 0xfcbb96bf, 0x6c291a98, 0x59fac4c3, 0x4416cf55,
+    0xed265fbe, 0x14b432fe, 0xf29db71c, 0x55e1bebe, 0xcd27e611, 0x182814b1, 0x431c606d, 0xda64b11f,
+    0xcf3c58f3, 0x99986b23, 0xf138a268, 0x0009e703, 0xd52689c2, 0xd684aab4, 0xd992e11c, 0x4d4705fc,
+    0xc77b9575, 0x8b6153cd, 0xc90d4691, 0x33b1bb9f, 0x7eeab244, 0x4e452db3, 0xeeb813d7, 0xe6a770aa,
+    0x4366d6a4, 0x3d03e97e, 0x7008a8c4, 0xa17c9fab, 0x000587dc, 0xc31a3d51, 0x614ff119, 0x6aaa2eb8,
+    0x1c2e7886, 0x93eed399, 0xdacbfd6e, 0x155f6c84, 0xb0c83df2, 0x3ab435be, 0xbabe4f17, 0x4ca087b9,
+    0xa796fa00, 0xb9ac0a09, 0xc5f27c87, 0xc9476622, 0x25024d94, 0x06bfffb4, 0x8a4e23e2, 0x4f3726f9,
+    0xde97ece4, 0x94b4c8e5, 0x3ab33a63, 0xacc9fa55, 0x281623fc, 0x3ac85d01, 0xb2e7d3e8, 0x10815f63,
+    0x843f1ef0, 0xa280ddb2, 0xee5e5e37, 0xd1cca896, 0x97a4f676, 0xf01b2e39, 0xaf95e744, 0xcadc5f54,
+    0x2e842e47, 0xd68f80b5, 0xce8c5280, 0x5b197fda, 0x4e3c547b, 0x8c395ef9, 0xcb725254, 0x4708d054,
+    0x796e75f7, 0x741659b9, 0xfe3de128, 0x03722f81, 0x16a0f475, 0x9ab03a99, 0x8c621bab, 0x784c4024,
+    0xc6f53b9f, 0x001cca2d, 0x6b7deb32, 0x0d371ec6, 0x6061433d, 0x60a628ef, 0xf0d454fa, 0x16a8dd61,
+    0x2b9bfb13, 0x04401ee8, 0xd9bed40c, 0x2cde48fc, 0x169269e3, 0xe8668c18, 0x574b77cf, 0x0bc8efb1,
+    0x5a65e0dc, 0x57c7237b, 0xe7e71bc7, 0x71859257, 0xfdd2ae8e, 0x64fb62c6, 0x46d4b982, 0x7ece408b,
+    0xdc3b0b42, 0x5d2ab423, 0xd827bfbb, 0xeb4d535c, 0x067b4944, 0xd8858aed, 0xf425719a, 0x62943f4d,
+    0xedb51176, 0x37f82224, 0xc73e85b3, 0xa165ae08, 0xfdada48f, 0xb687676f, 0xcf259918, 0x3d1fcaf8,
+    0x95052ac4, 0xeeb4b3b5, 0xfada0e4c, 0x8e793c99, 0x40b9d24d, 0xf88031ca, 0xe05e3e3a, 0xd1a1b538,
+    0x9bfbd53e, 0x31b67cc5, 0x31129620, 0x5f4acb92, 0x26179047, 0xc108bd42, 0xea14cc98, 0x181bf285,
+    0x3be3f0b5, 0xc4f74e6d, 0x2cbdcef8, 0x8b6d1f73, 0xc00ac284, 0xca0afa16, 0x370cb20f, 0x410a437b,
+    0xcad165eb, 0x1f28e36e, 0x09150e51, 0x47f5fdd5, 0xabd7e0b7, 0x8bbc5543, 0xf2f2437f, 0x2593e70e,
+    0x5a76477f, 0x782898e2, 0x80e01808, 0xc377f111, 0x1e4252d0, 0x92e41fca, 0xb9d76953, 0x3fd0caab,
+    0xca35dbd9, 0xa216a4d5, 0x0323cbae, 0x1f5acbe9, 0x08328882, 0x651b9a7a, 0x58fdcf2e, 0xc2bc1637,
+    0x2e8634c5, 0xa0e0fba0, 0x0588e6e1, 0xc8ca6b61, 0xd2873fb4, 0xaa3612d9, 0xf0d04ede, 0xc52b1c2f,
+    0x1b172585, 0x1782de63, 0x55327c1c, 0xd1f24faa, 0x98c7cbf6, 0x5c6faf27, 0x75930682, 0xf429032d,
+    0xca48b225, 0x1d78d1f0, 0x6ff17f9e, 0x57bd2b14, 0xb793a7fd, 0xc03b8624, 0x5abf78ab, 0x05c83f69,
+    0x3e652c81, 0x9d560f4d, 0x80f6c99c, 0xa22aa299, 0xde83d04f, 0x3f37d74f, 0x695566c4, 0xf7318e4a,
+    0xd8bfe796, 0x94fbb3de, 0x58274ebb, 0xdf2a50f7, 0xeba64f96, 0x001445ec, 0xe484da8a, 0xdb46de78,
+    0x83e8461a, 0x82a0e7b9, 0x29c54a56, 0x3c0aa9e2, 0x7aeb1427, 0x83cf66ee, 0xb2ca73ec, 0xde58fa12,
+    0xfee7fc52, 0x531ecd54, 0x22c929ce, 0xb8965883, 0x4ef4f8f2, 0x101ad8ca, 0xcd66a272, 0x3b458303,
+    0x53565d38, 0x129e7a8f, 0x561f1ca2, 0x798abe3b, 0x598e9d12, 0x1fc7d290, 0xbaa405d1, 0x85314f77,
+    0x0aafc597, 0xdca054e7, 0x25530335, 0xd9f3d27c, 0x1825c81c, 0x41d2bc60, 0xae13a131, 0xff7cb1f6,
+    0xffa1d203, 0xf0eb690d, 0x8644f4eb, 0xd1727e9c, 0xeb93ecdc, 0x9c463800, 0x6302bed1, 0x89c38fd6,
+    0x0ce24e18, 0xf403ec2c, 0x5bf00f42, 0xfdfacf9a, 0x06fe3b65, 0x827354e1, 0x464cbabf, 0xec6839b3,
+    0x41437434, 0x854659f6, 0xee157af5, 0xe58851d1, 0xf18c2c37, 0x00dc42aa, 0x0bc0c220, 0x13543edb,
+    0xa51f7cb3, 0xf567bc37, 0x6c831684, 0x807821aa, 0x00fc3a09, 0x73288a58, 0x9f322a06, 0x8ea39796,
+    0xb4799753, 0x2db2d93a, 0x68296b66, 0xf85c710e, 0x4c265344, 0xa5393e5c, 0x8e24c25a, 0xbc9fde1d,
+    0x4637420a, 0x14e0b19c, 0x88c59772, 0x4c1b9316, 0xcac2ac26, 0x05ff2f34, 0xb8bf6370, 0x2a72d386,
+    0x00000000 }, /* 10**-04189939978107061593616882811939326914837301818935122930538612951163051259397\
+                          98343025058571817715732115313495568327689089179808837873330310826051531440128 */
+  { 0x00000000,
+    0x32b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a6,
+    0x2f99af02, 0x1622ae0c, 0x5c1db415, 0x49c52f42, 0x9ebca11b, 0x7fa9a35a, 0xb300e9d3, 0x2b09fcc6,
+    0x00000000,
+    0xeb236521, 0x8eb37ab0, 0xc787af96, 0xceb3df55, 0x4a1cf691, 0xc63b145a, 0x02dd326e, 0xfaaf3b69,
+    0x8256e7c2, 0x75b11f1e, 0x1286d9a7, 0x93d5d73e, 0x9f0c90e0, 0xba098d05, 0xeca5c52c, 0x5337e8cb,
+    0x841d3bf4, 0x06bed474, 0x03272f00, 0x54a67997, 0x230a4dc5, 0x76d21333, 0x0b183185, 0x21f38b52,
+    0xc9521ee2, 0x210c82fb, 0x5b122ae0, 0x91ab5110, 0x2bc46b45, 0x848d8271, 0x3542ece0, 0x5a6dd65a,
+    0x4e4fb88c, 0xe29a523d, 0x20be1f08, 0x1b73643c, 0x176030d6, 0x71f19c07, 0xd51f25b7, 0x8679e9c0,
+    0xa1a7e944, 0x22b63aee, 0x89edd8d6, 0x86c8d88a, 0x23ea64ac, 0xdeddc4c8, 0x3a568cdf, 0x3e68deb2,
+    0xb2cfb55e, 0xb72975dc, 0xad43e4d9, 0x884462a0, 0x20362cab, 0x34792bca, 0x3eb5a644, 0x616e0c7f,
+    0xc26cb4ab, 0x5e5ec658, 0xefefa4f8, 0x528e1b95, 0x178fef19, 0x242c1ef1, 0x997c5bc5, 0x8f2009d0,
+    0x43308241, 0xdcce6ac6, 0x0f1fb6d3, 0x5c728517, 0x57c15eb0, 0x8fe1266c, 0x479c8362, 0x32589d4d,
+    0x0f376967, 0xc8123854, 0x163ea022, 0x2cda1d50, 0xd0b6d89a, 0x5ba1efa6, 0x537b7076, 0x3d32c749,
+    0xf5ab482e, 0xcc81ab2f, 0x4479dae5, 0xd037bdf0, 0x9acab96e, 0x26465fbc, 0x62c6cec1, 0x602b9a47,
+    0xbf2291e7, 0x95b63bcb, 0xc81b027b, 0x58053bed, 0x1a1b57ca, 0x6c24852e, 0x47d87b70, 0x24782b8c,
+    0x5a9ab9d4, 0xba069035, 0x40018f30, 0x040a2599, 0x835e6f49, 0x960eb3b2, 0x40442e6f, 0x974969aa,
+    0xc53eaeb0, 0xa2025e30, 0x08bf1ec9, 0x28d7f81d, 0xf172ba4c, 0x5f97d1e2, 0xf682f2ef, 0x44374255,
+    0x2939cc12, 0xc63475f8, 0x0ee19f26, 0x66973b65, 0x050a4345, 0x2107f26b, 0xd46d6105, 0xae0f8925,
+    0x53dd5178, 0xf5b364bc, 0xd53e68b6, 0xe42bce50, 0x03f87fd6, 0xe93b4c0c, 0x54b075f6, 0xd7cd70f8,
+    0x3ef43772, 0xdd430522, 0xcb1cbd3c, 0x0a4462b7, 0x1eb05d96, 0x1987004a, 0x2a2f462b, 0x0955fc77,
+    0xb548481a, 0x077608be, 0xe627b7c1, 0xc20436d8, 0x5368b06f, 0xb1a191e6, 0x39981253, 0x0092ed0d,
+    0x7fc21b25, 0xaf654c0e, 0x640480ff, 0xa6d774a8, 0x2ac58581, 0x9bbae756, 0x170b4896, 0x3e1737f5,
+    0x37e91d57, 0x9154aac9, 0x7b0ba787, 0x47b28e07, 0xd05a07a6, 0x8fba89a3, 0xe748e254, 0x374de233,
+    0x2c877199, 0xa65de52c, 0xd0468051, 0x6bfdf9e0, 0x5c6e0aa1, 0x98a7f8e2, 0x08a39db0, 0xf1e25381,
+    0x336a077a, 0x4d7d829e, 0x337e042c, 0x35e69272, 0x2a2ec8e7, 0xdca45aaf, 0xbc94fd63, 0x981c3ed9,
+    0x60e36e28, 0x0097eddb, 0xc7711fb7, 0x74162d54, 0x1e186fa4, 0xc1ac2589, 0x1221f1ec, 0xad63bcf0,
+    0x51782bd3, 0x2cddf5e0, 0x8643a7a6, 0x402bc844, 0x04feaaf7, 0xdbaeba94, 0xd8999f6e, 0xaa76e804,
+    0x4d745ece, 0x43174e83, 0xc65a7557, 0xcee330c6, 0x30c08325, 0x1a0021e0, 0x0d82fdd1, 0xc394ecd5,
+    0xba1cc55b, 0x7e62a112, 0x780bf1eb, 0xef2001f9, 0x49738389, 0x91c31101, 0x2b2f3449, 0xceac4eef,
+    0xe75f26a8, 0x1608ecf3, 0xb5fabef6, 0x7ec75287, 0x5c955a62, 0x581d49b9, 0x88f4b768, 0x42640abb,
+    0xd21eefa0, 0x6158fd9c, 0x69245c4f, 0x30950661, 0x4b9ffedb, 0x2ba65868, 0x9e4fb34b, 0x259a0b46,
+    0x7b46c20f, 0x4738e357, 0xa61f49af, 0xb1f4529b, 0xa65843c1, 0xfdb57cc4, 0xf771ef69, 0xf0345dc9,
+    0xd9bb36ff, 0xdfb22683, 0xa9952ce4, 0x5e115281, 0xf7151e83, 0x93d944fc, 0x03dedac3, 0xe124dc67,
+    0x4fe91b8e, 0x6e1efe74, 0xbb2b1a5c, 0x3d2a2b04, 0x40c104a5, 0x2c25379b, 0x9536d37b, 0x16b15f4f,
+    0xc69102d3, 0x3fdd2131, 0x8849f76a, 0x06636a8b, 0x416b4386, 0x9a4da932, 0xb0a7cdc7, 0x4a84e9e0,
+    0x6837bd7a, 0x7bcadb62, 0xa3d555c2, 0xb05cdda9, 0xc4224de0, 0x61379797, 0x3c072a1f, 0xd4197cb2,
+    0x94b67eb9, 0xcce5465a, 0x18c21fad, 0x35b795f9, 0x77a30fbc, 0x84e10070, 0xca0fbdd0, 0x1eff34c5,
+    0xf87355f1, 0x5b93ab27, 0xfedf992e, 0x56625bef, 0x48115887, 0x4b727a22, 0x50d0f637, 0x76035690,
+    0xb1cc6d7a, 0x6b381414, 0x703c4566, 0x0e20238c, 0xf401eda0, 0x3e81afde, 0x76f79f1f, 0xe60c1de9,
+    0x03fda7e0, 0x8aced30b, 0xf3f83b90, 0x7a910d57, 0x8303052f, 0xdda6bc9a, 0x465dfc4f, 0xca6a0b66,
+    0x157dfae3, 0x3f3d5f94, 0xf5f7cd7c, 0x21be9bfc, 0x482ca772, 0x2d726b5f, 0xb992fff1, 0x997f1f56,
+    0x1cbb0039, 0x2940269a, 0x67c8d527, 0x9eedb32c, 0xe131b7ed, 0xe77f53d2, 0x9fb76149, 0x66287e58,
+    0x5910e92b, 0x71862ea2, 0x664b5543, 0x88ec217f, 0xeb73d6c1, 0xd892b026, 0x81c6b0bd, 0x01488587,
+    0xba5fbe7d, 0x9c4fb766, 0x2516733d, 0x00de7503, 0x8e1dd34a, 0x86c98faa, 0x2a407f4e, 0xd9d4946e,
+    0x0221c1f7, 0xcf7ba2ee, 0x369e11cf, 0x30e1e9dd, 0xe58d2867, 0x7fbf32f2, 0xfcee50c4, 0x8bda48ce,
+    0x667ad06f, 0x9507069f, 0xae28a812, 0x1ec6ce37, 0x0d6ff0e7, 0xdbef4b21, 0x008f6ed1, 0x9efd4a1c,
+    0x6677c0fc, 0x8066b040, 0xa1b52b3c, 0x7c9b40ab, 0x81e19ddb, 0xc8cc71e5, 0xfc9924b1, 0xcb762e04,
+    0x6a97e34e, 0x25303d9e, 0x08e2883e, 0xa2ffe5e6, 0x1d481c89, 0x74927ed3, 0x3c80d88d, 0x7d83ec88,
+    0xb65da218, 0x0de248db, 0x90e07142, 0x5ecc7738, 0xbd0cc436, 0xfdec97e7, 0xfc2d8c55, 0x18c34a2e,
+    0xc6f5a315, 0xd4442478, 0x4a4f55a7, 0xdf2cbe0b, 0xe49a265c, 0x4340936f, 0x8e3129b9, 0xd4d42019,
+    0xc67c0c40, 0x129583e9, 0x2abb2e07, 0x39ca254a, 0xc4cb4bba, 0x03adc40c, 0x0b72bf26, 0x1c0523c8,
+    0xf74c35ac, 0xa300dc9f, 0x318d08a1, 0xede59e21, 0xbc61c585, 0x5f43a2b4, 0xab324b5c, 0x29370900,
+    0x33ad2ec3, 0x3ca50cc2, 0x4873d9a8, 0x7fff6ecb, 0xa025cd08, 0xfda12158, 0xd492d2c7, 0x042fbc3c,
+    0x714298d8, 0xb6724bfc, 0x19d7318d, 0xe727bcd2, 0x46f11813, 0x92aaf6fa, 0x0c731dfd, 0x6a89ae5d,
+    0x7bee2e14, 0xbe5cf2a2, 0x06634f58, 0xc24ac4a9, 0x3586e07c, 0x233b4811, 0x2487c9c6, 0xc6c79c22,
+    0xb8f0a49b, 0x99dd250d, 0xb50f85e5, 0xeed5f3f4, 0x52a2e253, 0x223fe912, 0xfd5579e6, 0x3ed96773,
+    0xb2ceffdc, 0x3973d33f, 0x02b6defc, 0x1ff29e5b, 0x50d8e866, 0x7231ad88, 0x1c1a6a79, 0x7b9f2539,
+    0xa77d7405, 0x554905a5, 0x8de5b768, 0x870bf97e, 0x51dd4e2c, 0xa954932f, 0xfb87f543, 0xab25113c,
+    0x9184dc09, 0xd8245a8d, 0x9e92b365, 0xc85ec3aa, 0x5147a99e, 0xf0b3b0ab, 0x6f5591d2, 0x9053e37e,
+    0x42dcb9ea, 0xb773a1d0, 0x9ed1310f, 0x51f6559d, 0x691dfb1a, 0xae6e677b, 0x836ba0db, 0xa0000b0e,
+    0x854d8d09, 0xab055e21, 0x76e54262, 0xa2a3ba98, 0x0aaedbae, 0x42414057, 0xc02e522e, 0x3f2dc424,
+    0x4a3cadd8, 0x02f06f37, 0x086092db, 0xd42302e6, 0x23a6f499, 0x5a0a25fe, 0xe9f883f3, 0xb2e7c2ad,
+    0x6b9f7eeb, 0xb98a12c7, 0x5baa5664, 0x13396d13, 0x3b8280fc, 0x83684f57, 0x88780819, 0x5d98080e,
+    0x48f32994, 0x62b37cad, 0x518bb4b4, 0xd101b32d, 0xbbc84b3d, 0x058acd4b, 0x69ba616f, 0x532df188,
+    0x347dc18c, 0xaab5f871, 0xc54e0448, 0x5e7dce35, 0x6523e3b7, 0x630ee2b2, 0xf2eae1f9, 0xc118ca67,
+    0x82591e59, 0xf76137ac, 0x262523da, 0x3152808b, 0x7a56f5f7, 0x3d602410, 0x9db9b211, 0x34117ae0,
+    0xd70f5fb1, 0x553ccd98, 0xb7e76428, 0x736c1021, 0x8b31868a, 0x616c47d5, 0x2365ab07, 0xae8b9681,
+    0x53527c5f, 0xad0afed6, 0x81d37946, 0x44aebf6a, 0xd3112090, 0xed98204a, 0xcad9582d, 0xba81285f,
+    0x3c3af300, 0x9f25701a, 0x274d2e15, 0x31d56b64, 0xaddc7176, 0x1f653ad0, 0xab16ceb3, 0xaacaf591,
+    0x72d046ac, 0x9ec6b38e, 0xae8fbb55, 0xf12018ce, 0x21c57bd3, 0x790926da, 0xa8280831, 0x00f512eb,
+    0x7b950a6d, 0x951223ed, 0x1a09eaac, 0xfdd31fa5, 0xff5cf0f1, 0xc5289785, 0x4cddcc37, 0xcbb08280,
+    0xc5851a2e, 0xc84a9faf, 0x281fea24, 0x3c03054e, 0x6bc943cb, 0xfe9ffa60, 0x497a530f, 0x2062cf98,
+    0xc61f7fdc, 0x96259470, 0x187be88c, 0x83c1e310, 0xd7ea13f2, 0x5a60e58f, 0x9af179a9, 0xd5f22f5c,
+    0x66168810, 0xeb16e7db, 0xc186b28d, 0x18f2f06b, 0xa2b1bdfe, 0x6175210b, 0x236775df, 0x9f5bef68,
+    0x174e8c96, 0x38995a79, 0x7487f300, 0x63383066, 0x49c33d1a, 0xb0e1051a, 0x215e7125, 0xc2ac4ec2,
+    0xa949ddb8, 0x8dcb0fd5, 0x5aa3d220, 0x6d36cf40, 0x5aaa67fd, 0x12791a30, 0x4c4ad7c1, 0x3c72a269,
+    0x2a371e67, 0x89401270, 0x511222f1, 0x3fee2bba, 0x89a75797, 0xa642ce93, 0x54384a28, 0xfcebc5d3,
+    0xe1ee7abc, 0xe4677f8a, 0xd366138d, 0x7123c45d, 0x9ceabdd8, 0xb1dd8d17, 0x8b628655, 0xb3e27875,
+    0x97bc3f38, 0x1e5f631b, 0xe1006fca, 0x1bbe8403, 0x2b7ec587, 0x38f64975, 0xb37b8c05, 0xfdb02048,
+    0xab3ed299, 0x58cbbdf1, 0x47f94cc6, 0x4cd357f3, 0x3a8ccff8, 0xce796e42, 0x144ce665, 0x3308c7d4,
+    0x74735604, 0x75da89c5, 0x30faa5c7, 0xc1b1cd3b, 0x6c5ab31c, 0x064040ca, 0x969027e3, 0x42fb086d,
+    0x9a55f380, 0x95d74b3a, 0xe8688106, 0xd6ba9fee, 0x81d034a6, 0x97e850f8, 0x6e9d9cf2, 0xdf5185a9,
+    0xfbb0d52d, 0x68d66255, 0xe7797cfe, 0xa8800472, 0x9d1f1370, 0xb3a0e3b3, 0x60bdfb6c, 0xa8a31895,
+    0xe1d51902, 0x8c334a68, 0xa0ceba40, 0xb0d06ab6, 0xa2d8c534, 0x48f2fa06, 0xab5e3387, 0x65b62291,
+    0x74c50863, 0x6e541431, 0x1210f60b, 0xbbdd501d, 0x0e1a04ec, 0x44f70545, 0xba039cb9, 0xc3ebd94d,
+    0x6c9414f9, 0xd187a0e3, 0xecb4f366, 0x93613131, 0x50d47c2a, 0xac741b2e, 0x57884b6d, 0x33cbad3c,
+    0xa2f314a0, 0x070d40c6, 0x3f49e7bf, 0x06235d2f, 0x011e706e, 0x906163c2, 0x2ae32f7f, 0xe14009d8,
+    0x193c46aa, 0x1f757439, 0x0917ae7b, 0x5f8e8769, 0x4ba327c5, 0xeb4d4c3d, 0x55eea268, 0x8d6962fc,
+    0xbe7d2eb2, 0x2543d309, 0xfba2a0b6, 0x1509c5ba, 0x404e5794, 0x979b38a1, 0xbe1c76eb, 0x3b385626,
+    0xae5bf199, 0xdad05b48, 0x1d77ef1c, 0x91a287ad, 0x25b1ff0b, 0xecc560f6, 0x39a632c0, 0xa0f514f8,
+    0x6fca7bb8, 0x762153f5, 0x9ac42c14, 0x17697557, 0xf5c2ac42, 0x1875a321, 0xc361c8c2, 0xd9d0a1b5,
+    0x1edb2e00, 0x5f054af3, 0xe7cb474a, 0xb4f8516e, 0xa1c6a4af, 0xd4c0b253, 0x3bf952fd, 0x929ece81,
+    0x3b87f31e, 0x9490ad69, 0x0986ffa5, 0x721778b2, 0x83fa4425, 0xcddbc180, 0x55c8a6b1, 0xb4e356e2,
+    0xe553219f, 0xe8922376, 0x0b2fa839, 0x06b3a10c, 0x92f4f56f, 0x0086814f, 0xf6126d6f, 0x60491506,
+    0xdcf5d88f, 0xf6df434e, 0xa8631850, 0x53ad7775, 0xb90639e4, 0x04bd8219, 0x0beafbb6, 0x27fb7eb4,
+    0x1bc94618, 0x5e5333af, 0x7f3d6ec6, 0x7a4f9e85, 0x80a68911, 0xa5cdc3f8, 0x3677197f, 0xe174758f,
+    0xba6fdd3a, 0x5f1e2457, 0x63ae18aa, 0xaafa366a, 0x358818e8, 0xcd36c9e6, 0x70836cd8, 0x271339b2,
+    0xb5444caf, 0xefd422a7, 0x61e4c356, 0x0b343d8a, 0x1b322b3f, 0x74c17459, 0x792109a7, 0x6372ae7e,
+    0xc7b689de, 0xfbcd8249, 0x31e92c4f, 0x5e16b153, 0x680ccfc0, 0xdffa3329, 0x447e2357, 0xf183db92,
+    0x40eadbe3, 0xa201380a, 0x85ab64e7, 0x8702a4ee, 0xb2d87fe0, 0x40fff7ad, 0xfffafe00, 0xfc4ba5fd,
+    0x8ebd5765, 0xfae53e34, 0xb002dfd3, 0x3e937360, 0x362a2de0, 0xda58e8e0, 0x5ff4ae3b, 0x4529d0bd,
+    0xc8050302, 0x40dc8c99, 0x2b0a35e6, 0x7959bac7, 0xf4a5df52, 0xe88c1957, 0x70668fb1, 0x1bd71bbe,
+    0x62f37faf, 0x5035d1ef, 0x87f83c8e, 0xc5b7655b, 0x4125ed3d, 0x7ef8cca2, 0xd96d4d4f, 0x7c50afc7,
+    0x5ab60497, 0x916e716e, 0x4ac8d6c8, 0xc4120c88, 0xa2e7e182, 0xa2b035fd, 0xa6fc32bf, 0x0c912142,
+    0x0adadebf, 0x550a8556, 0x4f13a16a, 0xdec5de05, 0xe39ae6f8, 0x6b19b2d5, 0x168182dc, 0x6625962a,
+    0x817431f6, 0x336ba709, 0x4fb387ab, 0xbaa0cb6a, 0x27f6dfc5, 0xe749454d, 0x40856399, 0x8a3bbff2,
+    0x145c5803, 0x4a2bb0ff, 0x9ae89654, 0x55e7d621, 0xfa85a336, 0x4dfbe565, 0x951aaee6, 0x3feee032,
+    0x730fbcd3, 0xe9d9c3a0, 0xb759efd7, 0x80d875ac, 0x11095789, 0xf78a3c80, 0x550d327b, 0xbbf56f3f,
+    0xcc82d6b6, 0x9ea6f6de, 0xd3b23df3, 0xdde56931, 0xe883d690, 0xbe92611e, 0x62571bdb, 0x3ed1a2bd,
+    0xc8da6d5a, 0x31b06953, 0xa2f453d5, 0x540966eb, 0x9bc8f9dc, 0xce001185, 0xda4fd4ba, 0x6f760aee,
+    0xcac24ea3, 0x8e2875b6, 0x48ae11ed, 0x0008c0fd, 0x65190b03, 0x4a301d6f, 0x1181ca5b, 0x76e9094b,
+    0x09ec83e3, 0x8ffc1b86, 0x90ede384, 0x0ab8d6b3, 0xe62195c8, 0x5b4a8290, 0x2b7b2010, 0xa9839b16,
+    0xfcc5cf5f, 0x226124cd, 0x60af8c6b, 0xda0aad7a, 0xb2c773e3, 0x3b6ac6ce, 0xaabce924, 0x343aeaec,
+    0xce4373bc, 0xfe59d64f, 0x7d90e2fc, 0x10a05731, 0x4420c42d, 0x396943d2, 0x05dad29a, 0x4a37cddb,
+    0xa94aba8e, 0xa0c61d02, 0x14744bcc, 0x44388bbb, 0xba241ce3, 0x78ae2ca5, 0x8c9e8355, 0x53e00f6c,
+    0x81f01b95, 0x383bbe7b, 0x94975888, 0x114ae377, 0x604998ac, 0xa93f561a, 0x3cefe57d, 0xf0c11c07,
+    0x72669c6b, 0x0d28ce28, 0x0e35fdb8, 0xc13ad64a, 0xb5071408, 0x0daae4a8, 0x1667d529, 0x4aada2ba,
+    0x3e14de0e, 0x80ae8884, 0xf1662ea9, 0x9ae50fe9, 0xb17741b1, 0xa3871aaf, 0x1231aad4, 0xd933d9e3,
+    0x667f9730, 0x758b59e7, 0x7f2d4682, 0x69723078, 0xb4901f3c, 0x1dffe837, 0xec52e1c7, 0x411bc196,
+    0x0843851d, 0xc163da9f, 0x281a4753, 0x0d5d2cd1, 0x4598c5cd, 0x287461ca, 0x42470989, 0xc2a91333,
+    0x248cfdee, 0x7501271c, 0x3bcda76b, 0x66790ecd, 0x91f9e610, 0x8ba8f4fb, 0x8f7e233b, 0xbc22e347,
+    0xda58670f, 0xad70b475, 0xf8787beb, 0xad2b1995, 0x58269c72, 0x075c5912, 0xaa7e90ab, 0x23f92a7b,
+    0x6b16b161, 0xc0ba0726, 0xc5bb595e, 0x289773b2, 0xc4a3e123, 0x1bd03f33, 0x8dd9a912, 0x21d7b3c9,
+    0x13997285, 0xbbf70349, 0xc168243c, 0xbc00e952, 0xb5f0cd61, 0xa4192332, 0x2aff5064, 0xe45a2a4b,
+    0xd195e6f8, 0x994a0d00, 0xc21e31f8, 0x80aa4ba4, 0x1705b5f4, 0x8950506c, 0x7519e98d, 0x688babd3,
+    0x9c53e18d, 0x3e2e46e3, 0xff861706, 0xb01df035, 0x264dc2a8, 0x943c80f1, 0x03ac4f7a, 0x3d8068e0,
+    0x1db36ded, 0x115828e2, 0xd96d87b5, 0x486093f7, 0xf7b7e749, 0xad376ee3, 0xf2f142ce, 0x60407df5,
+    0x08dcb769, 0x33134d88, 0x5fe3cf4b, 0x9e33cf0a, 0xb836d55d, 0x4f6b619d, 0x6cac0ca6, 0x0ce31093,
+    0xfee4f85d, 0x7f5f37e0, 0x8a8d3846, 0x4d3404e1, 0x2196bdd6, 0xbd4f7770, 0x821b4b1e, 0x9fc3218e,
+    0x00000000 }, /* 10**-02094969989053530796808441405969663457418650909467561465269306475581525629698\
+                          99171512529285908857866057656747784163844544589904418936665155413025765720064 */
+  { 0x00000000,
+    0x395b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d3,
+    0x17ccd781, 0x0b115706, 0x2e0eda0a, 0xa4e297a1, 0x4f5e508d, 0xbfd4d1ad, 0x598074e9, 0x9584fe62,
+    0x00000000,
+    0xf558f5aa, 0x2efef296, 0x3cf649a5, 0xe4236e6c, 0x7e334321, 0x77844cde, 0x8ea55774, 0x7d25b48c,
+    0xce16ab9d, 0x3a1c38fa, 0x92781544, 0x3d86ee9f, 0xd79c56f9, 0xc0fa3269, 0x9ca21a55, 0x2fcc3855,
+    0x097c04cf, 0x955a3860, 0xb36a37b9, 0x2a0bc2b8, 0xabd680cf, 0x610eec32, 0x201a2c0d, 0x03a67d76,
+    0x3a996fce, 0x66686c0e, 0x8feb680b, 0x92bfdcdb, 0xe2c9106b, 0x956cb963, 0xeff73f46, 0xdee72433,
+    0x7427b488, 0xaba47f3f, 0x1f8ea1b8, 0x3b470ba8, 0xd10f369b, 0x988eb3aa, 0xa210c460, 0x4958557a,
+    0xb8828e4f, 0xfe72cb89, 0xcc0aed99, 0x7e08532d, 0x13902d15, 0x4e5e65ac, 0xb070d095, 0x1d34a62b,
+    0x987df0b3, 0x69718866, 0x83b0c090, 0x86f2b12e, 0x7ee25afd, 0xb7b3ef6a, 0x30ce2050, 0xc555213c,
+    0x9988593e, 0x4c96d677, 0x83cf87ef, 0xb21b03cc, 0x6f98617e, 0x6b18abac, 0x3c2d5b05, 0x857bec2e,
+    0x58db192f, 0xa18bbccf, 0x20d52ef9, 0xf82c12a6, 0x2af03b46, 0x32156384, 0x08202b37, 0x72103551,
+    0xb9ea765f, 0x7cd53442, 0x3d79948e, 0x302420dc, 0x27419395, 0x464bbfc9, 0xd148fb4a, 0xf997a548,
+    0x9f50ba4f, 0xc7267553, 0x31ec07c3, 0xd7c3fbab, 0xed19d749, 0x06831fbf, 0xa784e956, 0xbdb4c18e,
+    0x156de785, 0x2833e397, 0x5ea7bbf2, 0x8019eb1c, 0x0e249d59, 0x1d913985, 0x2cd9a61a, 0xc48d2288,
+    0x1fbbef88, 0x78e1983f, 0x8bfc901d, 0xa288652d, 0x5bdae1ac, 0x3282e6f3, 0xbb5e2af2, 0xf6f691b2,
+    0xfdd7c762, 0x4117e210, 0xabcc1675, 0x033a8f60, 0x1bfe4a69, 0x57e0106d, 0x0c141edf, 0xb0b14008,
+    0x1b480788, 0x931e74f4, 0x593233ca, 0x110d4aab, 0x1b05e5bb, 0xcbeeec8a, 0x801faa16, 0x17d79d8c,
+    0x48d451f2, 0x8bdf4620, 0xe0ee57ad, 0xd87c5293, 0x1c9ab474, 0x1a80a6ed, 0x5609f0f8, 0x3c306c66,
+    0xa2961aa6, 0x99edb7f3, 0xf67632be, 0xa78a30e1, 0xa8bc4424, 0xf2d9160d, 0x6ea81b98, 0x6ec166cf,
+    0x3233216d, 0xf3b5e53e, 0x3d0959fe, 0x5cd64611, 0x9fb0a23c, 0x37d667cc, 0x938c0d90, 0x3ad49cef,
+    0xb5e2d000, 0xaff10f88, 0x5ae56bcc, 0xd384e431, 0x9facec5f, 0x8f97ea9d, 0x0c1274cd, 0x81232f8b,
+    0x22f827c4, 0x3f2e92f1, 0x3a52fc0c, 0xb264bdd6, 0x421215a4, 0x5b0bb2e6, 0x33543370, 0x0e56b0f3,
+    0x443cc680, 0x00202cce, 0x727f7f67, 0x71cc926d, 0x489f52cc, 0x3e74163f, 0x19b3e544, 0x1dbad336,
+    0xab33d8f4, 0x78602bfc, 0xdbd29211, 0x2ce79d93, 0x359f5b3c, 0x5f731681, 0x18adfeb2, 0xc821e1ab,
+    0x4543b85a, 0x3e8ae64d, 0x48764072, 0x1db523a1, 0x0d58add4, 0x94d4eb17, 0x00343aa4, 0x18f06eff,
+    0xdedb03b3, 0x7a870c2b, 0xd2479b28, 0x4fecf4e8, 0xb1ecadae, 0x350a993b, 0x765d170a, 0x82d6c256,
+    0x35d84a14, 0x68ec422e, 0xefc7585b, 0x254d73e9, 0xdbf419c7, 0xa9475836, 0xaa54b426, 0x247ac316,
+    0x44e08fe9, 0x0efa13b2, 0x4f45eca0, 0xa958975f, 0x69fababa, 0xfc3f5c13, 0x67431dd5, 0x9a971a85,
+    0x65fbe90d, 0x26db5f57, 0xfdedfdfb, 0x273da43e, 0x6dc3eaa2, 0x7b03126d, 0xe3292c8e, 0x1ca1f7b5,
+    0x6c9d7bb5, 0x101e4a14, 0x92fd26e4, 0x7551cb24, 0x943fbc09, 0x55a056e7, 0x5c10f3d4, 0xaff678a5,
+    0x9537b917, 0x276f1df9, 0x02d24789, 0xea0ccf16, 0x85afcda1, 0xf59c5ec6, 0x4399cb4d, 0x9efc276a,
+    0xd88da2dd, 0xc80df5fb, 0xeb8d2224, 0x601e6c7b, 0x97539408, 0x8d2ae801, 0xa7dd1224, 0xc3375856,
+    0xf9baa724, 0xaf4f0167, 0x276f35bd, 0xebe18bfd, 0x044b9136, 0x0f26c438, 0xa1039b26, 0xd4c56f73,
+    0xad78493a, 0x3b37fa39, 0x8a2c40e4, 0x807590e7, 0x848a9476, 0x3a5798fa, 0x1427a623, 0x3e745c0a,
+    0xdb5f978a, 0xddd8a566, 0x43076ce3, 0xc2102725, 0x98c39363, 0x6197f004, 0xefbfffbe, 0x3f13d55b,
+    0xf0c92d60, 0x42705807, 0x46613d10, 0x76f303e4, 0x6f67a6b1, 0xe94adec4, 0xc493c578, 0x733cf0a5,
+    0x03eeb01c, 0x59addc7d, 0x8e335cf2, 0xe59b75ee, 0xe6199c92, 0x34cb9f6f, 0x3ae485bf, 0x722ce28c,
+    0xa00fb847, 0xb75ffff9, 0x1be50709, 0x5442a235, 0x0a2ccc44, 0xcc2332aa, 0x6c653c3f, 0x5fb19b39,
+    0x4e58ed29, 0xfd86d26a, 0x3579dbdf, 0xe6bb94b3, 0x8c9eb081, 0x03d51404, 0x9282ec37, 0x3d65191b,
+    0x2d2499c3, 0xe42a3006, 0x24626461, 0xe8478a38, 0xdb9a97f3, 0x0ed7e5ce, 0x8a32529b, 0x0ba22846,
+    0xb720a87a, 0xbdac8c7a, 0x96f8a89c, 0x36975c6e, 0x41d63098, 0x2480ffb2, 0x02520bc3, 0x8d4b214f,
+    0x7cef07f0, 0x5ccbd553, 0x7715b672, 0xeb7b292d, 0x78805380, 0xce392643, 0x4cd7b4ed, 0xabdd716b,
+    0x11705019, 0x40ae3a2c, 0x150e2a05, 0x141c0a50, 0xea2a9ded, 0x57b86148, 0xf628239e, 0x0a4d452a,
+    0x806c3a74, 0x235b905e, 0x9e3679ab, 0x39836763, 0x9561d38f, 0xaacce86d, 0x8a40626e, 0x73f1b012,
+    0x86f62a99, 0xc0ac96f2, 0x8d9269af, 0x9b7bdd5c, 0x04f0d6f1, 0x523dd8fb, 0xce3c8a0a, 0xe1b42708,
+    0xaf0553a1, 0x1c7fc672, 0xcdd36ae2, 0xbb11d22a, 0x6ca1ec16, 0xff02a19e, 0xcf0e23b7, 0x77fff318,
+    0xa4121cee, 0x43efc5c6, 0xbe9b0486, 0x808a2e13, 0x678dafad, 0x3097a618, 0x2cd2457f, 0xbce419d9,
+    0xc9b12fce, 0x24b90ec1, 0x0e96d56a, 0x58dee5d8, 0x73ef9e6a, 0x1e144872, 0x0a8815ff, 0xccdd2f43,
+    0x2d27b633, 0xa9cfa982, 0x1926f4a5, 0x4d998c27, 0x08ccb2cb, 0x2a39d9bd, 0x26b25173, 0x30326e12,
+    0xb996080d, 0x04d87058, 0xc43634bc, 0x1c88677e, 0x31128e60, 0x94fdec41, 0xfcf0f8ae, 0xe60de1ac,
+    0xa65ccbf3, 0xcd5f8434, 0x83ca3315, 0xf3000eaa, 0x14709d44, 0x5bdadf91, 0x9fc34a6b, 0xdf80ef5c,
+    0x8ea279d8, 0x41ed46d1, 0x9d8480e4, 0xdede042a, 0x8bdaafb0, 0x96c5ce8a, 0x4c5d9cfc, 0xa1882ae9,
+    0xdbec438b, 0x30a57acd, 0xd0c52b89, 0xbdd937be, 0x776e3cff, 0xfeadcde1, 0x891953d9, 0xc6af33d8,
+    0x8acafe0f, 0x24323fc5, 0x21cb94b4, 0x266a89df, 0x6d12c67a, 0x55883450, 0x267b8485, 0x9a2cd0cc,
+    0xaba122ca, 0xb543b1f9, 0x0843fe92, 0xb4735305, 0x5afe4b67, 0x2fc6be99, 0xf42d7a64, 0x5b7c8866,
+    0x7cd5a8e5, 0x04cb2afe, 0x030b2384, 0x390942cd, 0x7e368566, 0xc227e93d, 0xbece4c58, 0x1b659b1b,
+    0x0b2afe97, 0xdd52a5cf, 0x51067fd2, 0x58119b98, 0x0804cfdd, 0x28e86439, 0x2f161648, 0x4a6d362e,
+    0x8bb2d396, 0x22bda59b, 0xdcf1d03d, 0xcd02269d, 0x09875a7b, 0xa859d906, 0x4db7b0eb, 0xfb9fec09,
+    0x278c3e24, 0x81fdb56d, 0x03bbdab1, 0x625c4e85, 0x435cc538, 0x35233db1, 0x735fb993, 0xe457b092,
+    0xc263fcf2, 0xa383ac50, 0x29dc1291, 0xb9cfd134, 0xe2e3afaa, 0x781193b5, 0xdecc4fb4, 0x942bdc9f,
+    0x9ab676b3, 0xf11b880e, 0x8a6a64a7, 0xfe9981fe, 0xbd583b74, 0x9d3bda64, 0x660e3f91, 0xb301f7eb,
+    0xa22266df, 0x1d9cb9f8, 0x56736a25, 0x5df1357b, 0x7c2be9d4, 0x46562880, 0x36a60ce2, 0xe084f444,
+    0x868c13f4, 0x30ace55d, 0x465090b4, 0x07891b9c, 0x66bbc5ba, 0x59bea1db, 0x922c8a0c, 0xcb2deff9,
+    0xf19a5934, 0xe7999562, 0x42632758, 0xf1bd1221, 0xef6fd92a, 0xffe753de, 0x26b1bd0b, 0xcd50c290,
+    0x6290e93c, 0x087deeb2, 0xcb92e854, 0x1184011d, 0xe37a94da, 0x680f4a6b, 0x874db9cb, 0x968de427,
+    0xb03d12ad, 0x243511dc, 0x458c30a2, 0xfa44f4e1, 0xe410a8d0, 0x1b6f31a4, 0xd580892a, 0x90449647,
+    0xf847b467, 0x4fa1030c, 0x13497077, 0x52d5b5a0, 0x680d5a4c, 0x5e744c4a, 0xb1829718, 0x6577c4e8,
+    0xb0a61b2f, 0xb27036d4, 0x308872e2, 0x2cfa3918, 0x225c0b7f, 0x1b86b3af, 0x011a5dd1, 0x4deaeef7,
+    0xed439bbc, 0xaec9751f, 0x9aca6425, 0x776044cd, 0x750fcbb6, 0x1c3ddb14, 0x365850ad, 0x3c7a87bb,
+    0x907e44df, 0xd6a0def9, 0x70ac6961, 0x70eaae56, 0xa5d54ef0, 0xbd7c3176, 0xa4126bf9, 0xf8ae218e,
+    0x3f25a70f, 0xd51fd2ee, 0x1b826244, 0x77162212, 0x9a2ef977, 0xfb9760ef, 0x9fb49b74, 0xadd70276,
+    0xc0e945dc, 0xadf57608, 0x7c31af1f, 0xaebbed32, 0x286a858f, 0x07c839ff, 0x97680896, 0xfd8bd6c4,
+    0x96d97212, 0x6bf476b8, 0x803fd67c, 0x38948807, 0x3dde0580, 0x5841ddae, 0xb68c8a82, 0x95752de9,
+    0x325e3d47, 0xe3cb26b4, 0xe462e448, 0x169874b9, 0x090810b7, 0xb20acb61, 0xba6182f5, 0xb030844a,
+    0xf875df17, 0xaaf6e652, 0x1ce700b0, 0x5640d64b, 0xbe988b8a, 0x19396fa8, 0xf3d8235c, 0xb004e4d6,
+    0x44360eba, 0xa6ef1fdd, 0x8c2841df, 0xbc0e585a, 0xf6ff9a74, 0x66425544, 0xc35ec3c4, 0x449aa92c,
+    0xdc5616c8, 0xb0a8bcca, 0xf0a17f58, 0xff7e9162, 0x86c5425b, 0xe6e8c075, 0x80459c42, 0x54672305,
+    0x3b800a26, 0x8c0f07c3, 0x257fe701, 0x7ec66152, 0xe706044b, 0x3e105e08, 0x75ff5747, 0x39b19774,
+    0x8c65f57a, 0x8b77c4d1, 0xb1c8787f, 0xd604ef8e, 0x96a6845a, 0xd283f9d1, 0x11bb4120, 0xa83a1343,
+    0xbeb9f720, 0x0d3697a3, 0x2111269b, 0xe2a8a464, 0x104a82d3, 0xda87c462, 0xd20ce7a0, 0xf4496e84,
+    0xc8c5e139, 0x62ebbd19, 0x43c89170, 0xae9b7ef4, 0xffd82e27, 0x6da10b82, 0x9846814a, 0x9a93e3a1,
+    0x668bab65, 0x70899a4f, 0x0c1bf543, 0x21e21998, 0x4ea480ed, 0x6bb0c01c, 0x06cbbfc7, 0xb2bded7e,
+    0x5d08b376, 0xa3aab998, 0x7dee3cd2, 0x6f49ae11, 0xdfbab504, 0x81a54a8c, 0x5f574d3b, 0xdb481b2f,
+    0xb48f19ec, 0x9e90ec1b, 0xd3e80c9a, 0x4054a295, 0x4dcec5c9, 0x64f51e91, 0xe0d392d4, 0x09ac8e58,
+    0x0a95a100, 0x6b067a33, 0x7ff0aa0f, 0x19b05235, 0x8559c4a4, 0x537fead2, 0xea07b508, 0xcf15be76,
+    0x370ee918, 0x33a51296, 0x9d9546cd, 0x32a58dba, 0xc79611a3, 0x94a0e3e0, 0x4fe13737, 0xef0bf8ba,
+    0xef0595a9, 0x52789c11, 0x4c3ddc95, 0xc0c223db, 0x0abb69f0, 0xf83a385b, 0x7e307648, 0xd2fbb4a9,
+    0xfac3a908, 0xc3531768, 0xac0569b8, 0x0023d121, 0xf217536a, 0xc36ab7ee, 0xc1065612, 0x6093f762,
+    0xcefc8214, 0xc460b582, 0x4b85019a, 0x7264e805, 0x8e424ff8, 0x6e0b6378, 0xf6db03d0, 0xca80a45a,
+    0x358cc855, 0x30739496, 0xff7a15fd, 0x3d60baf6, 0x546e0857, 0xbe8b369b, 0x6c86b4cd, 0xa7c830f4,
+    0x59858c63, 0xc027833a, 0xe8206ada, 0x3aab2180, 0x44d5b680, 0x4b86e5a8, 0x1a4c4947, 0x36cf0e0e,
+    0x48ae4258, 0x1f84d427, 0xc3e2106c, 0x82461ff5, 0x61dc7af9, 0xf9432648, 0x5930376b, 0xa1e54080,
+    0x93f0b1f2, 0x57b5e611, 0x83fcf242, 0x89de87e4, 0xfa9e9c13, 0xc25d90a1, 0x9f5f837c, 0xa75deb2d,
+    0xca3c5c98, 0x12bbab93, 0x4fc021da, 0x44f77a2e, 0x2f02fc75, 0xf328f02c, 0x3600f785, 0x55b1d942,
+    0xe1be757a, 0x79215f4d, 0xf9c8a53e, 0xa97857bd, 0xceaf3822, 0xa2731cbb, 0xebd35af9, 0xc1616ecb,
+    0xea88bc64, 0x535aa492, 0x194cb8f3, 0x5357df19, 0x1eb8d72f, 0x54564e8a, 0xfd1ccede, 0xc1c66ef3,
+    0x2742d7bf, 0x665b1a8b, 0xf7e077df, 0xbe60890a, 0x4ea71ad3, 0x54875809, 0xe550d450, 0x66d5c70e,
+    0x2c80e762, 0xfd9a5a1c, 0xec48dd87, 0x776a7474, 0xea17dcbe, 0x54756862, 0xd6d57058, 0x20b04c01,
+    0x9a802579, 0xb574d979, 0x2d716b36, 0x61eeafc0, 0x5ea4d9d4, 0x7f164cda, 0x77a342dd, 0x961561a8,
+    0x4bce1d2e, 0xd70aa147, 0x7a256dc7, 0x333899e0, 0xd1d60548, 0xf53a48fe, 0x16d774c1, 0x47e3f174,
+    0xcaaabcd4, 0x17a913f2, 0x49e906ae, 0xb02e6ad9, 0xf2ecf2ba, 0x60077702, 0xd005884f, 0x931b9130,
+    0x6289aa81, 0xc559bb9b, 0x6b676361, 0x09a0b8bf, 0xc12121b0, 0x1de3bcb1, 0x765a74c3, 0x0b88757b,
+    0x5dfae6b8, 0xd697e530, 0x87a113ae, 0xdb2b025f, 0x6dc1fd2b, 0x254eaa85, 0x5d9ecd79, 0x52ba26db,
+    0xf227c0a9, 0xde7117fa, 0x1afbea97, 0xa2d335f2, 0x91604ae2, 0xd4f0b9af, 0xd7dc952f, 0xd04d6959,
+    0x64c010ae, 0xd8d06e64, 0x8d60ee99, 0xa1af61bb, 0x26b71e52, 0x6432c43c, 0xac08cf8d, 0x1d382470,
+    0xedb00516, 0x1d1d99e9, 0x2b04a118, 0x4839f697, 0x024564dc, 0x64dee7e2, 0x6c027ad2, 0x59387c92,
+    0xf870e02a, 0x4ca0ecdc, 0x0b661471, 0xec0152e9, 0x32d6f2f0, 0x4369c4ba, 0xe8084c99, 0xea16f6c7,
+    0xf4c28550, 0x4bb164f1, 0x744fb3d3, 0x938852a9, 0xd782b8dc, 0x3024730a, 0x0ed54d3c, 0xa73ec0bb,
+    0x1402fe86, 0xa29d8065, 0x55091b7e, 0x55797f03, 0xf48e0a9a, 0x8ba07064, 0x44b86bb2, 0xb38ff7f2,
+    0xf50a2892, 0xb89fe742, 0xc241b9a9, 0x0c851b6c, 0x8a3e4eef, 0x81a128dc, 0x5579243f, 0xb1cc708e,
+    0x41551cf3, 0xc231ed6b, 0xe286b095, 0x5664f8ef, 0x84b10078, 0x274446fc, 0x5fa7d3f4, 0x989c5020,
+    0xdb642ec4, 0xd5d0eb67, 0xa6ecba05, 0x09f491a5, 0xca3c866d, 0xd6244886, 0x41836f8f, 0xc3c70739,
+    0x6aec66ca, 0xce1687c3, 0xf5771979, 0x02b5487d, 0xf28840a8, 0x65c3f529, 0xf33e91fa, 0xa63bcd51,
+    0x32e194f9, 0xa02587a1, 0x070f2028, 0x2a9da4be, 0xf8369ca9, 0x445e9c92, 0x66d06c4d, 0xbfa6b6f3,
+    0x63c107f3, 0xf756de56, 0x4c8b3147, 0x4ec8637e, 0x7bc18558, 0x6f59d6cf, 0x368c99b3, 0x12f42d6c,
+    0x2d7a8f51, 0x12b366ca, 0x2fb2f21a, 0x2638b454, 0xc2d35fab, 0x2d79ce91, 0xf78dfb8a, 0x0025c522,
+    0x2c40fd50, 0xd1ad7543, 0x4c161310, 0xa27fe34b, 0xc64d9100, 0x291de0f5, 0xdb682d94, 0x39af9f25,
+    0xf1ce6039, 0xc7d959e8, 0x266296a5, 0xfcf1bd2d, 0xe05da6a4, 0x1b57a63a, 0xd1360dbb, 0xb976a79d,
+    0xccab1b15, 0x61e70a95, 0xb1282ee4, 0xe7e093be, 0xecd3c33f, 0x33b2e659, 0xc5836ea5, 0x6590346c,
+    0xd59bd340, 0x5dd3300c, 0x217f357c, 0x5925c442, 0xefe70c9b, 0x92d24004, 0xb9acd1b3, 0x207d0469,
+    0xa80005bc, 0x6d3d2c43, 0xae96cd2a, 0x3f8e0a88, 0xaa18f268, 0xf4982633, 0x1fbfe1d2, 0xa9414b00,
+    0xeb091856, 0xb2ea934f, 0xe8d21c40, 0xc4d23733, 0x443f0fc9, 0xfb30892b, 0x3853487c, 0xeedc088d,
+    0xcdb5be28, 0x1ace9bb3, 0xb00573d5, 0x3ebcf043, 0x4dbfeae4, 0xc36c2237, 0xbaf48e9b, 0x68726c46,
+    0x136d24ac, 0x36a71f33, 0xc446885b, 0x26ceb71d, 0xc1426538, 0xce566699, 0x33cb6377, 0xbb287559,
+    0x3e530865, 0x0882a081, 0x2264a6f7, 0x49012933, 0xe09d21a7, 0x9c24cc4f, 0x0303e9c4, 0xc810a97e,
+    0x00da49e3, 0xd86cfc00, 0xbdb38c8e, 0xac65fc6f, 0x399cddf5, 0xa92eb594, 0x062fd862, 0xc72aa773,
+    0x30f09c34, 0x3be834b9, 0xa119cc4c, 0xc591a13c, 0x9095d3de, 0x47845e1e, 0xe32c897a, 0xc0356fd6,
+    0x5f75fb88, 0x23ed7ead, 0x1fb43846, 0x08ac5082, 0x2b753b38, 0xeaee31ae, 0x5fb34956, 0xb3984dd2,
+    0x00000000 }, /* 10**-01047484994526765398404220702984831728709325454733780732634653237790762814849\
+                          49585756264642954428933028828373892081922272294952209468332577706512882860032 */
+  { 0x00000000,
+    0x3cad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e9,
+    0x8be66bc0, 0x8588ab83, 0x17076d05, 0x52714bd0, 0xa7af2846, 0xdfea68d6, 0xacc03a74, 0xcac27f30,
+    0x00000000,
+    0xfa9dfe08, 0x814561a1, 0x0322bb2b, 0x998aa3d2, 0x4d281444, 0xe19953a8, 0xe765ab8c, 0xa65907ba,
+    0x66a06f0b, 0xda000b76, 0x801539ad, 0x4605a6ab, 0xdac33603, 0x88f649e3, 0xa1db4514, 0x1e6dadab,
+    0xc41a227a, 0x84b53b96, 0xb4578348, 0x7a4dc9a9, 0xb2dfbf9f, 0x8e8a1ef7, 0x1696db00, 0x44c32d29,
+    0xbc6758d9, 0xe3116d0a, 0x5e7c1037, 0x8425977d, 0xcfd120f0, 0x0cc2198a, 0xecd8668f, 0xc1aaf8d6,
+    0xaca21eaa, 0xe834d8be, 0x4a74e541, 0xc5b04c07, 0xa42b131c, 0x9fe48875, 0x80dc36e6, 0x525658b8,
+    0x87d0eb7c, 0x1fa6f647, 0x204370f2, 0x6f6e2e35, 0xd06f7ef8, 0x2dee1128, 0x4ad75ef1, 0xa5b88742,
+    0x344b5355, 0x220622f7, 0xa0599535, 0x454de866, 0x8145c650, 0x299bfa38, 0x33828ee1, 0x0bc47173,
+    0xba908ad2, 0x6c2f2982, 0xad93e73a, 0x9ea1d0f1, 0x202ddfc3, 0x1fefd291, 0x20b12143, 0x97874766,
+    0x38111c75, 0x7303cb22, 0x5f046c60, 0x541336ba, 0xfb0855fb, 0x99a3d271, 0xb10f30a2, 0xdbec172f,
+    0xa0fb17f9, 0xea4f7f4b, 0xc9a09269, 0xdd12be74, 0xa03bd7c0, 0x97d209b8, 0x4121a474, 0x38cd147d,
+    0x6a67a7dd, 0xd3adee0f, 0x201f04cd, 0xf3f20948, 0xb736788d, 0x379b3fa5, 0x7423547c, 0x2f5f7681,
+    0xa4f2fd45, 0x577fb13a, 0x25ec1a33, 0x996d6a43, 0xc3da2599, 0x6343f9f7, 0xb03e526b, 0x0f96f303,
+    0x002fa64d, 0x5a5de9dd, 0xf141c699, 0xab90ec1b, 0x03cd151b, 0x6344b238, 0x57901b90, 0xbf110d16,
+    0xccfc01e0, 0xce97c4f8, 0xe0fba198, 0xd47cee85, 0xa15ebafd, 0x1971fd92, 0x2d892796, 0x15261c42,
+    0xf204dab2, 0x3a092a9c, 0xb882607e, 0x17dd2d25, 0xf96119e1, 0x79a31da1, 0x806276be, 0x4d2be9dd,
+    0x6f14de7e, 0x59889bcf, 0xe52f08a6, 0x19fb4a30, 0x69d86962, 0xd6e2c906, 0xf9a10e73, 0xfece8f5f,
+    0x79711f5f, 0xdc6e3caf, 0x668189d0, 0x655856de, 0x0999b76b, 0xfcd422c1, 0x364cf9fb, 0x8b37c817,
+    0x294d16e0, 0x30f0d714, 0x763f2a8a, 0xc20f4b31, 0xfdfd6c0b, 0xe973c144, 0x2bf79d08, 0xb856dcd4,
+    0xe30374cc, 0x3c5dab93, 0xca841279, 0x40ce2864, 0x1bb7273b, 0x3871b0f5, 0x5bf1c5ee, 0x4a0023d6,
+    0xb31d494c, 0x36cb6d28, 0xeb81dbfa, 0x50af826c, 0x966acb4e, 0xc5f19ae4, 0xd7330779, 0x767bbaaa,
+    0x4901456c, 0x8c3ed087, 0x62c89506, 0x19cacb36, 0x7a87fae6, 0x470403fe, 0x74ccaf9f, 0x668eaaed,
+    0xfe86ddc2, 0x4222a0b8, 0xb29b9212, 0x133b95d4, 0xbce685eb, 0x790b62cf, 0xa35aa030, 0x513dce39,
+    0x3c88335c, 0x89212fd1, 0x961d84ab, 0xda81fcbc, 0xedb0151f, 0x79ed3031, 0xc940caa0, 0x91170440,
+    0xd17fe786, 0x8bd94612, 0x6bdf2ddf, 0xa49c0c4c, 0x9f63e56b, 0x2a556b9b, 0x84203384, 0x47f50549,
+    0x44c61c04, 0x9e02c9cb, 0xb6dd6f43, 0x028be256, 0x3f0ee302, 0x3e585ba5, 0x2b1aa3eb, 0x512c4bb8,
+    0xee23793c, 0xfde69080, 0xeb87415b, 0x2c114f87, 0xca5f66bf, 0x4a9be087, 0xb219d11f, 0xc985a7f0,
+    0x560cb22a, 0x47168af8, 0x870f2cab, 0x09a03a90, 0xc35fb086, 0x5ea861d3, 0x703b3dbc, 0x2732d030,
+    0xd9d270b5, 0xe31a1787, 0x0cb8a954, 0x2d92c4ef, 0x76f78a02, 0xbec02255, 0xbd86602e, 0x55e92711,
+    0x2f2d1e0f, 0x411610e4, 0xde2ac7da, 0x72b80c10, 0xfbdc7a45, 0x20317434, 0xac514eb8, 0x6b1afb3b,
+    0xfed3ffcd, 0xe346778e, 0x9594ea7e, 0xcaa6742c, 0x55b4fc48, 0xada80337, 0x99b1b3d3, 0x407bf8f6,
+    0xa54b96f7, 0x38852db1, 0x44569f03, 0xb8583020, 0x6d6a47a7, 0xf6dc48d3, 0x0fe5d6ca, 0xb3f06c2e,
+    0x35e09e4a, 0x9ddb605b, 0x9d2f4a17, 0x84bbcb77, 0x5fc5e130, 0x393e84a1, 0x886f1253, 0x3b0ada31,
+    0x3be57e70, 0x8f2bd903, 0x6e9ede58, 0x40b6182c, 0x0c9e6a63, 0x853c3b7d, 0xa56f07e2, 0x130ea813,
+    0x0784d004, 0x161d25c9, 0x8d29472f, 0xa2b83453, 0x3cb7d499, 0xb3d0e5ee, 0x78aeca6d, 0x3a3295cd,
+    0x2fa67303, 0x1a3122ba, 0x49d54481, 0xe04f0a25, 0xa782e2ce, 0x0308c44d, 0x7014e2d1, 0x60a5ae56,
+    0x6611c3e0, 0x2157ec18, 0xb732fcd0, 0x88236a7b, 0x19bdbc58, 0x0ff41ba4, 0xae8a0e8c, 0x8e4f1dc1,
+    0x8b62d060, 0x2140305e, 0x7567099c, 0xde2f497a, 0x9416a379, 0x964e0a30, 0xa4e854e6, 0x2699bc2b,
+    0x34f97a98, 0x99b748b9, 0x2b9b949b, 0x1d8606f0, 0x67995f04, 0x433ebf71, 0xfdba6ce0, 0x011146aa,
+    0xd2f18dfc, 0xcccaf3c1, 0xbb1d9625, 0xd1842ae7, 0xc7096a0b, 0x2ab6f7c7, 0x7d1fbbff, 0x3119837c,
+    0x54d3e184, 0x37eadd1e, 0x131127cc, 0xda866d4b, 0xa8014bdd, 0xe0c651e6, 0x51974ec2, 0xe004c38d,
+    0x642b69fc, 0x3301d76b, 0x61d75d01, 0xfd609511, 0xf65f5c4a, 0x97340c18, 0x30e3e0ca, 0x0b08c692,
+    0x4cc2f4ad, 0xe5546522, 0xa9c282f9, 0xb4cfa23b, 0x50e8961e, 0x24a4d9c4, 0xe6e58e96, 0x486f3d5c,
+    0xd79f57c8, 0x485a2794, 0xd49191b8, 0x57ecfbd8, 0x3415da86, 0x4a8799b4, 0x5654123f, 0x6641b4a7,
+    0x164ff218, 0x2f08eb6f, 0xe975a890, 0x44a7e99a, 0x34a98d69, 0x4e918954, 0x28bfa8b1, 0x6dc7f88a,
+    0x39fdc104, 0x4d30ea9e, 0x7a216e5f, 0x20c7e693, 0xee948fb6, 0xcd5be34a, 0xc2838e15, 0x8c080f2f,
+    0x141c2cde, 0x575a7e60, 0x9a56b9d0, 0x45adba87, 0xb47464a6, 0x91fd2c6e, 0x0643b245, 0x2ee6212d,
+    0xbf7a038e, 0x0ea48854, 0x552c9f52, 0x0e2a50f7, 0xc019ad01, 0xe5ab544d, 0x0273a8fc, 0xdc57aced,
+    0x8c874d87, 0x5edcf67e, 0x7c502161, 0xb31da8eb, 0xc804ccaa, 0x06ff1c7b, 0x93b8ab09, 0x2212cda9,
+    0xc39c088f, 0xb018a6c2, 0x3ff7b3ee, 0xa914f395, 0xc950aada, 0x06726c6e, 0xfe86abc1, 0x183f3c7b,
+    0x50645564, 0x399075f6, 0x94022b17, 0xfcdfda5b, 0x1826bd80, 0xb3af63a8, 0x4303eee9, 0x5a9db42c,
+    0x2ed09a0d, 0x4eeebe33, 0x4c8555e6, 0x0d6b6236, 0x1d513cf4, 0xbcc570a7, 0x518ae37f, 0xbbc562eb,
+    0x7b2e4bd5, 0x92bc0f8a, 0xe8753e00, 0xd1d3a4d3, 0x32e76dbe, 0xa741e84d, 0x275a7f23, 0x3ecc29b1,
+    0x49b2c085, 0x4e5b9d4d, 0x26ddf8a0, 0x9d7eb5a2, 0xb4899233, 0x6a472993, 0x882a8cc1, 0x540b835d,
+    0xf0401f49, 0x1f03aa09, 0x2334acda, 0x66f71260, 0xff7c6bc7, 0x2000cd6e, 0x1a09d4f1, 0x4a5cef97,
+    0xc839ef61, 0xb2d6f831, 0x06689298, 0x0a93b752, 0x78967c12, 0xc881bbd3, 0x2c340c06, 0x664c3f82,
+    0x14dd623a, 0x3a333174, 0xe8fcf69e, 0x85ca4d70, 0xd63a6e91, 0xc00d5c8c, 0xd9bdf538, 0x3e24d985,
+    0x9898b09c, 0x0bb57e96, 0x98d063a5, 0x3050c562, 0x1def7df2, 0x438e5649, 0xd2886748, 0x0a0016fb,
+    0xb8003c7f, 0x5841bd4d, 0x7070c8da, 0x4930fe0d, 0x4ed4af37, 0xb771047d, 0xc8b7e79e, 0x4ca6be45,
+    0x99d521db, 0x0db61ced, 0xf40797f3, 0xe17662b9, 0x31ab41c8, 0xaf5dbe07, 0x4e8dcdec, 0x99b85837,
+    0x8279ae39, 0x85134912, 0x81b09033, 0x871e60de, 0x9b05261e, 0x1d5ac8d1, 0x9b96996b, 0xfda5ce89,
+    0x83b4eae3, 0x6f210878, 0x52e3aaeb, 0xb15c32b1, 0x485416a4, 0x6e7a674c, 0x9cd80008, 0x666e969d,
+    0x1a9a2a88, 0xee2bf3cc, 0x78b3c8c1, 0x4ee36508, 0x97509238, 0x8a3f5201, 0xeaef2481, 0x38d95ada,
+    0x7141b289, 0x4b57346c, 0x68c20a95, 0x04af0ea9, 0x0d87224d, 0xaf8d6325, 0xc578fef7, 0xef6f6d29,
+    0xd837c2da, 0x7150abf6, 0x70cf46af, 0x36e3bcc4, 0xf6f4a869, 0x747c7b9e, 0x863cbd73, 0x0f23af89,
+    0xbf6de6d0, 0x285bdbaf, 0x56766c9c, 0xacd348e7, 0xfa5946c7, 0x9c88211e, 0xb09bcdeb, 0xed68a075,
+    0xe9021a14, 0xddabffac, 0x6368cd1c, 0x3cddb39c, 0x612cf8bd, 0xfaf6150c, 0x51b0f483, 0x3dec24ac,
+    0xe59801a4, 0x37f2b32b, 0x5a488806, 0xc99f076d, 0xf3a1430e, 0xbfcf9e94, 0xb018fed7, 0x1850699d,
+    0xc86da61b, 0xeb08bbf5, 0x7f2b914d, 0x5fbf9ddf, 0x5d2dc352, 0xfde17bba, 0xfca6e9dd, 0x3d2c1580,
+    0x5a0c05d0, 0x1d927922, 0x35651141, 0x886ac2b2, 0xc125e53d, 0x15f3b4b5, 0xb8d9d0b2, 0x5ace004c,
+    0x3a2fb420, 0xc0bac562, 0x747d749a, 0xa0b90fa4, 0xcadb4a0c, 0x44500b35, 0xf084a9ca, 0xf5dcd0cd,
+    0x6acdd9c6, 0x926b5c77, 0x254a1908, 0x89d48c0a, 0xe6a82e68, 0xd07474bf, 0xa3879660, 0x327498d9,
+    0x6d4c1ecc, 0xc3023263, 0x208aa0c5, 0xe9e94320, 0x2d134e49, 0xa13ea045, 0xeaf990cf, 0x1f4025c8,
+    0x641cce50, 0xc46b44a8, 0x75abb95d, 0x3d3e137f, 0x03c808c6, 0xfcd63a17, 0x08969830, 0x29984f5b,
+    0x82bad1a0, 0xafa5f678, 0x4b0d4329, 0x99c06c26, 0x9aa3b494, 0xc3c3031a, 0x683eb7b0, 0x8383998a,
+    0x25627132, 0x2d692c2b, 0x7516bacb, 0x1cd7c6c6, 0x07b61b22, 0xaf52ab22, 0x43a4fb0a, 0x69172981,
+    0x5b1e83c5, 0xa7a8281f, 0xade376ae, 0x048d92dd, 0x77528f7e, 0xf88bf38f, 0xb517c0ac, 0x3a63159b,
+    0x21d2d2d7, 0x7ce9bce7, 0x19189f4a, 0x46da26b4, 0x20d69388, 0x720a0b61, 0x0da4a2d3, 0x97e471cc,
+    0xb57cabd3, 0x8ba31f54, 0x70fcf703, 0x09738a32, 0xf7a0215a, 0xb9f01151, 0x75cc46c5, 0xabfd9fe3,
+    0x881527ee, 0x7e2acbb0, 0xb724b2ae, 0xa063219c, 0xbf35aca8, 0x71afc4b9, 0x0eea5e99, 0x490c764a,
+    0xa919d20a, 0xf86dc352, 0x3e5bfed9, 0xb7668d34, 0xec6c8016, 0x0ee572f4, 0x82bea306, 0x13cbb412,
+    0x0d19200e, 0xf48d9c03, 0x59c2994c, 0x844e2cf6, 0x1f03e3f8, 0xd4d8b1c6, 0xafef4191, 0xa3ec92ff,
+    0x0653b2a6, 0xd8e13b8f, 0xbfa002e9, 0xa5193238, 0x8410c33f, 0xb33ca25b, 0x62fb083e, 0x4d8dee08,
+    0x54dec9fe, 0x45133f6c, 0x8dd0a521, 0x8abb6977, 0x149c2813, 0x3ea5656b, 0x12939b98, 0xb63b4722,
+    0xbdb9131f, 0x67ac1b7e, 0x23a173a9, 0x6319fdaa, 0xb604b217, 0x217107e5, 0xfe67ed9f, 0xc4ab3366,
+    0xb30a3f40, 0xb3757686, 0x988f0ac6, 0x0cddc778, 0xf6bd2948, 0x836eb334, 0x0f9fb298, 0xf14bc69b,
+    0xe4eaba11, 0x14d96234, 0x43010d92, 0xb2440347, 0xd9004506, 0xf4c9d3c1, 0x2a473276, 0x99029057,
+    0xaecb02e1, 0x6d7d2618, 0xd8cc26cb, 0x93c5ae87, 0x1a39e91e, 0xa3cf9625, 0x95675db2, 0xd029810d,
+    0x99cf80d7, 0xf6f90a33, 0xf110765d, 0x177a62c2, 0x34b9d0b0, 0x1d205b49, 0x756a3aa5, 0x2835f48b,
+    0x818b1c1a, 0xc918e47e, 0xda7e538d, 0x70dfd869, 0xa85e061b, 0x660494cd, 0x96c06580, 0x0240f92e,
+    0x8c49f90c, 0x52e9e554, 0x4b4c9a55, 0xfee98a42, 0xc4b1cd77, 0xe5c3e3b5, 0x8ea49b1b, 0xad7e27a9,
+    0x4053aab2, 0xa51c2e2c, 0xe94c40c5, 0x7a5532c2, 0x68154863, 0xdda40600, 0x19f54208, 0xc4977400,
+    0x456eb125, 0x634b4fee, 0x2772366f, 0x63069ca7, 0xae1a203d, 0x8f3691d6, 0x393368c3, 0xc70abb6d,
+    0xdd2490c0, 0xeb598ef4, 0x1f07170f, 0xcb008dd0, 0x0bb1b649, 0x026bfe4a, 0x11cf9ed9, 0x27190f5b,
+    0x5411cee5, 0xff3be216, 0x6b5e2f8a, 0x38c3b6a6, 0x75c72e6c, 0x9e611f79, 0xac9e22f8, 0xf62713ab,
+    0x954d4ea4, 0x89ba7d0b, 0xecce6067, 0x288a8eed, 0x0db08cae, 0xf0f8f200, 0x17f5751d, 0xe79ab025,
+    0x93b14bde, 0xa6e14b65, 0x125e6966, 0x79771f7e, 0x1b061e03, 0x1275b612, 0x42091310, 0xfc7f4f22,
+    0xd203b701, 0x906e0f46, 0xac024a8f, 0x06d35146, 0x877484dd, 0x6070307b, 0xa31ef3cf, 0x64f4d0c2,
+    0xb49417c6, 0x87ebbe8d, 0xfb10cbaf, 0xf1cf03f3, 0x780903a1, 0xcd6c1f37, 0xb314d6c9, 0x31d323fa,
+    0x8b121cd0, 0xd9cfed32, 0xd10f8da3, 0x475fec47, 0x059a6621, 0x6c1c7dd1, 0x304dc9e0, 0x82f8afac,
+    0xc6807b90, 0x6f0ba47c, 0x4796bc6f, 0x93e0d549, 0x81d05531, 0x869ce0bf, 0x9419bba6, 0x42c8ecde,
+    0xf751c87f, 0x34fc46d5, 0x0bac67c9, 0x75c270bc, 0xa65e0a9d, 0xd36d8f89, 0x097be90f, 0xe824dc06,
+    0xcd128aef, 0xca8623ac, 0x8948fc28, 0xe90625b5, 0xe852915d, 0xd75d41e5, 0x300fba60, 0x1526bca9,
+    0x8bbd38dc, 0x495552b9, 0xd1565cd6, 0x52f1e9f2, 0x669b917a, 0xe388848a, 0xc39317ef, 0x6345a5d9,
+    0x70580aac, 0x1219007d, 0x8e475a4a, 0x1195174e, 0x85cf0714, 0x43406619, 0xe30cc689, 0x13ce4904,
+    0x9ca46cca, 0xf6347817, 0x7115059f, 0x6d3b6c21, 0x22eb2120, 0x2e07b33e, 0xc06dc38a, 0x75d5b384,
+    0x3a66936f, 0x4a49ce64, 0x19988330, 0x94f260b8, 0x2a486518, 0x8adf1741, 0x60b63c92, 0xa40cd163,
+    0x1214871e, 0xa8eed7a9, 0xa366c5b8, 0xab6bd19c, 0xc6193a9b, 0x686e51b4, 0x5f4ef321, 0xa0c15bf1,
+    0x3cc93299, 0x01119ce5, 0x7039f37f, 0x511146b4, 0xefe79bdb, 0xb4df38ee, 0x01bfcfc6, 0xd682f9bd,
+    0xd2e629fa, 0x45070296, 0xf422c35f, 0x328421f3, 0x87cc3dbe, 0xbc3543c0, 0xc8bdc7b9, 0x4f882b7c,
+    0x4e5d96a1, 0xcbf77778, 0xb64cb9dc, 0xf27bf8e4, 0x8e2879a6, 0xda8cfdb8, 0xbe5a546e, 0xcb7b119d,
+    0x9903a8ba, 0xc56f8f03, 0x49d9e572, 0xa25962f9, 0x69a0e65d, 0x8ed42c78, 0x96ca4080, 0x57ecf27d,
+    0xe86737fc, 0xbb73ea8b, 0x6342ef3b, 0x9353659c, 0x7b301ec3, 0x1ab47e19, 0x76a41d55, 0x0b78b418,
+    0x2880fd75, 0x916ba20d, 0x0ac8db84, 0x1c788494, 0x22c2be6c, 0x008a27b8, 0x09eba41b, 0xc8651a18,
+    0x5161bf2f, 0x6e7605d2, 0x96c55275, 0xe222aab4, 0x371d9271, 0xac80eac6, 0xd9a7b793, 0x79a9fb20,
+    0x44db610c, 0x561dcf1d, 0xb0d983d2, 0xbb146e3b, 0x0decc0bc, 0x9613c22e, 0x301477f5, 0xf506a3ca,
+    0xd7e90a83, 0xc11f0ae9, 0xf4c1d8dc, 0x59dbe1f2, 0xe8d4ac40, 0xecf13e29, 0x040e37f6, 0x22538c67,
+    0x65a3a061, 0x12e67587, 0xa2f8fc85, 0x1cd97e18, 0xe364c54c, 0xec9b5540, 0x0752ecbb, 0x020c8370,
+    0x1a3ca002, 0x16c827e7, 0x1446ca47, 0x8bf07075, 0x7438a46c, 0x88b4934c, 0x3d9ba5b2, 0x66beaaa6,
+    0x0cc5cc83, 0xa36da77b, 0x4e11c7d4, 0x612074f5, 0xc6c76367, 0x3bab1c4a, 0x4c15558f, 0xb2a1566e,
+    0x4606638f, 0xdef63bdd, 0xe22973c5, 0x418bc31b, 0x751decb8, 0x39fc773d, 0xa98c7699, 0x98f8b6a6,
+    0x23217ae1, 0xae6f6ebc, 0x91a629ad, 0xe39b7dcb, 0x199a3cbf, 0x36e6ac38, 0xed4aed6b, 0x324e14f3,
+    0x239b1393, 0x4ca7311c, 0x24e43486, 0x668d7a82, 0x9b67ccde, 0x95d0bd85, 0x6adda616, 0xfeca1c55,
+    0x69609d4b, 0x662e1e8a, 0x588fb86b, 0x555b396b, 0xa4b8a2a2, 0x7812e33d, 0xd007e517, 0xcad0ddb5,
+    0xe17af3f4, 0x12f6e2f0, 0x6a10375d, 0x890c938b, 0xd1d3be83, 0x2e54232c, 0x8da273a1, 0xf95702c0,
+    0x3694ca78, 0x4797d9a0, 0xd7cf5be3, 0x861dc6d5, 0x039bf1c5, 0xbe3ab61a, 0x44a88d71, 0x04212dab,
+    0xfa103e64, 0x3ac4044c, 0xa1484cf8, 0x969a4a63, 0x71e29848, 0x1f119c22, 0xd27426d2, 0x009f1a8e,
+    0x00000000 }, /* 10**-00523742497263382699202110351492415864354662727366890366317326618895381407424\
+                          74792878132321477214466514414186946040961136147476104734166288853256441430016 */
+  { 0x00000000,
+    0x3e56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f4,
+    0xc5f335e0, 0x42c455c1, 0x8b83b682, 0xa938a5e8, 0x53d79423, 0x6ff5346b, 0x56601d3a, 0x65613f97,
+    0x00000000,
+    0xfd4b55f0, 0x55ce3ac7, 0xa6cb2f79, 0xdea3d24c, 0x3e89ba7a, 0xfa2598ec, 0x543bdd91, 0x76069e9a,
+    0x77052a98, 0x30cf5955, 0xa2f3e5da, 0xc99ac613, 0x58c6abb1, 0xcd4909af, 0xd3db318f, 0xb1eefe64,
+    0xf31220ed, 0xfa899ef0, 0x58aa4cb3, 0x63c4a487, 0x03038089, 0xa1599751, 0x59b6dde6, 0x4c4d681a,
+    0xd8b2f86d, 0xd0547133, 0xa7367a15, 0x504b0b5e, 0xa9f5ca2a, 0x0f6a4743, 0x6d6f1429, 0x12ad1127,
+    0xfd3c10b3, 0x691b8990, 0x5581b9f8, 0xe70182f2, 0xf6f9d406, 0xb5e7dd1c, 0x1dedd3e7, 0x25e2e88d,
+    0x9f6c3c24, 0x82d089c7, 0x4bcb34e8, 0x71ca85ac, 0x11402d17, 0x5db4563d, 0x7afb4af0, 0x13fc18b2,
+    0xa0972a31, 0xa5fd165c, 0xf9ae05e5, 0x0ef128c1, 0x303710d7, 0x546bfec9, 0x1ea29dff, 0x9625ea2a,
+    0xa6c16d63, 0xd69ccd7f, 0x30c6bbeb, 0xe4c43b3c, 0x21f4c045, 0x8321eee8, 0x478b9719, 0xe5e1fbbb,
+    0x3c1671de, 0xb6c1f3b0, 0x78815b21, 0xe888e505, 0xeb4a1fa4, 0x8b26dfe7, 0x823a9fed, 0x77c31349,
+    0x2644bfcf, 0x04937e0a, 0xb7c7acf4, 0x91649cb4, 0x9ad8f645, 0x6950b3ef, 0x70e1130e, 0x5c8f0fd3,
+    0xed1e3d6f, 0xecdce68a, 0x3aa6d8d5, 0xb2c727f0, 0x203f188f, 0xff6966a2, 0xa437d066, 0x0554319c,
+    0xc8ceb36d, 0x39e71712, 0x98a06e79, 0xb8abcb5e, 0x8e859cca, 0x31de3354, 0xb25fae9f, 0x5927491b,
+    0x0c16ff87, 0x805fc93f, 0xfdc779fc, 0x738ea7c1, 0xc11c1ba3, 0x2f9228f9, 0x378ea77b, 0x6b96aa48,
+    0x5e4e1a98, 0x2fcfd0fa, 0xa62a1f59, 0xbb482d8f, 0x49933a62, 0x51b34355, 0x4c4e8138, 0x42ec2ba2,
+    0x59c95073, 0x26d1af0f, 0x18cec6c0, 0x5dc996c0, 0xd0e94d3d, 0xfaa6488c, 0x7205ee06, 0xcd9120ce,
+    0x8d30969a, 0xe3b2430e, 0x09f6cd20, 0x503321f7, 0xa926c7fe, 0x6835478c, 0xdf4b813a, 0x72ae0f08,
+    0x4cf20d11, 0x5d0dcf60, 0xc02fa640, 0x92033599, 0x86cf712a, 0xa9f776c4, 0x886c7643, 0x9cf7bb96,
+    0xcf812840, 0x49d94c17, 0x11fdcf0e, 0x87aa6ce5, 0xa73e8f9b, 0x2fd97cd0, 0x733b3098, 0x82a7ade4,
+    0xa1fe1a81, 0xae615cb7, 0x500533e4, 0x3b2fecab, 0x1cdafbee, 0x5fa2e59c, 0x30c7b499, 0xe990bf71,
+    0x18a24211, 0xaab1c1be, 0x99107ac4, 0x97b58dd2, 0x04d56748, 0xfb80f0e4, 0x754ec7fb, 0x2e17c544,
+    0xc038ecf3, 0xa42a24a6, 0xfbe96644, 0xaacfac87, 0x6db46c72, 0xcea9c339, 0x9e4115f2, 0x83ac9bb5,
+    0x74a552e3, 0x9acde550, 0xccb05502, 0x797c412d, 0x622766bd, 0x000aadcb, 0x3fbfdd12, 0xe68f3b18,
+    0x117adf84, 0xb45a589d, 0x2006f837, 0x7f2c3dbf, 0xfc971f99, 0xe6d12b3c, 0xc8513160, 0x11e386cf,
+    0x6bbe4a41, 0x08b57b93, 0x29112b5c, 0x3c8e6955, 0x09d27148, 0x23d37f86, 0x42542b0f, 0x54232580,
+    0x5fe56fbb, 0xd7a055af, 0x4f702836, 0xb7d8e9d6, 0xb39ae79a, 0xb439f261, 0xf63b348f, 0x10794b67,
+    0xb27f324f, 0x7c28769e, 0x5774077f, 0xe6cfc510, 0x7bebe686, 0xeda3224b, 0x019e2a8c, 0x63a47d11,
+    0x2424279d, 0x54768ad7, 0x7112c7e5, 0x0724e8c0, 0xd4ac6e0d, 0x75710ff9, 0xaa4a6260, 0x5139a9dd,
+    0x4e32f455, 0x3c44b99f, 0x55549b93, 0x77c5dac7, 0x9a9b60ba, 0xbe7d93f8, 0xed971990, 0xede5cd0a,
+    0xe03db467, 0xb35e1124, 0x55fdd174, 0xf9dec0cb, 0x7ffd950a, 0x73976193, 0x106b3356, 0x8c8ae593,
+    0xfdbe42aa, 0x31b3bdaf, 0xcb2032ff, 0xe5750b32, 0x126575fb, 0x3165028e, 0xe57cae42, 0x2d49765c,
+    0xd5d3cda7, 0x18f99e8b, 0x7aca1a5a, 0x1e35a46c, 0x016d1449, 0x969c0b86, 0xcff4e4c3, 0x700355ce,
+    0x87bbd406, 0x78f4b1de, 0x8c42b5ab, 0x02346bd8, 0x9f49f6b1, 0xf4163fad, 0x786ea344, 0x0abfa7bf,
+    0x5d7366cf, 0xa825a040, 0xd00d240a, 0x68450b69, 0xa22ce902, 0xab2726ea, 0x8f6308ac, 0x0276083d,
+    0x6f3b03a0, 0x606b640a, 0xb37bdd90, 0x24a48483, 0x2c1fa8d1, 0x23389a8d, 0x07c8e01d, 0x1e68d9ca,
+    0x8a545fff, 0x4b3e0885, 0x33636f36, 0xb6941e17, 0xb5ab12a3, 0x73fc7ac9, 0x20b46259, 0xbe356c80,
+    0xf20b2f3c, 0x421f118b, 0x14a36f3a, 0xd234715e, 0xd0427710, 0x310c79c3, 0xd81d8985, 0x0ac8c425,
+    0x7d825f1e, 0x27003cb8, 0x1c4d7161, 0x261113f3, 0xd41e5573, 0x50ac9d1b, 0x24ce8dc2, 0xeccc087d,
+    0x4166795c, 0xd9707641, 0x5ea1bb64, 0x0f9a502f, 0xad616c8d, 0x14971c57, 0x2594ba98, 0x47507c85,
+    0xd263020f, 0x673933d9, 0x2f248b4c, 0xb626a558, 0xee5ab30b, 0x400977ed, 0x8899cd39, 0x23863af3,
+    0x04068408, 0x3fb879d0, 0x297b177a, 0x77ad7533, 0xa094d957, 0x1ac6f905, 0x98dc613e, 0x46ec81e4,
+    0xbcc4bb4e, 0x6a8cb1ca, 0x2d5fc191, 0x817cfe19, 0x51efa6b5, 0xa8653ad2, 0x77e4b63a, 0x8737ff1a,
+    0xb0365c30, 0xd0c42580, 0x357b819a, 0x0569ea2e, 0xd7774bc6, 0x7f65c2c7, 0x2dfa01bc, 0x81e843ac,
+    0x08cce66e, 0x7e3e0400, 0x47941158, 0xf190d4f9, 0x715aff70, 0x81655f67, 0x2fa026db, 0x83b31b0d,
+    0x3a69faca, 0x22162f7e, 0x520bbde5, 0x663826ee, 0xe3129679, 0x6f132268, 0x89bde6d0, 0xc255d3fa,
+    0x532c9066, 0x2c20f502, 0x8029ef12, 0x2a1d50fd, 0xd5cfd150, 0xd9330320, 0xf27e5bba, 0x932dc9aa,
+    0x8ff1da14, 0x17e19503, 0x75dee183, 0x68e9479a, 0xddaf31c4, 0xc5305a7f, 0x0e702d94, 0xf81ce3cd,
+    0x4c5a7fa9, 0xbb50d764, 0x25ea9d6b, 0x135d4053, 0x08f7a01d, 0x78e95695, 0xab0a282e, 0x0ae481b4,
+    0x9868510e, 0x46904a88, 0x2be6ef58, 0x57306479, 0x289b4e11, 0xb915b0b6, 0x2fd08769, 0xd86608a1,
+    0x32a74961, 0xe0ddc270, 0x3baf09df, 0x4c7919d2, 0x037c8671, 0x059779e2, 0xee74aee5, 0x6c15bec4,
+    0xa551cf27, 0x7dbea0cb, 0x0e7b24b6, 0x9b546c4b, 0x3454ea05, 0x2615249c, 0x7aafb980, 0xa5822e20,
+    0xf752da8a, 0x689386f7, 0xda8bcbeb, 0x1bd4a5c4, 0xa3b1596f, 0xe81db909, 0x1f3f3c35, 0xee388e14,
+    0x7818000d, 0xb0b213d9, 0xda44d1d4, 0x9401a69a, 0x667b36cf, 0x0514c35d, 0xc6a384d0, 0x3ec66b6c,
+    0x984c3dae, 0xb9c43840, 0x161d69ea, 0xffa74a07, 0x99518d2a, 0xa911c860, 0x6e1653d9, 0x72a5cb76,
+    0x1d2eb7cf, 0x2a9ac083, 0x50c3398e, 0x97164781, 0xf094c93b, 0xe77103f9, 0xb660cd3a, 0xab276ad6,
+    0x348f4408, 0x01721bb3, 0x338ac029, 0xd08d9179, 0xa5d21554, 0xe1c85926, 0x30a5c2db, 0xa3a8d3a1,
+    0x5045dbc6, 0xfb7672e9, 0x76fdd3f8, 0x2d0740b8, 0x0d78db4c, 0xb9b6d456, 0x8280cdfa, 0x1b01d883,
+    0x9c56a74c, 0x2b9e81de, 0x34b93569, 0xf57e5126, 0x7820ef6a, 0x1e4a63fc, 0x2a187cf2, 0xfa050e7f,
+    0xf18779ce, 0x9de415f8, 0x4b24c793, 0x995871de, 0xaed45415, 0x9a1416d1, 0x355b10d9, 0x144ee37e,
+    0xa59df84e, 0xf6be8428, 0xb3b8f75c, 0x606d8205, 0xffd8f4ed, 0xd8a58bf4, 0x601c4773, 0x6d44c4fe,
+    0xa4ae5b6c, 0x0f90566c, 0x429c496d, 0xa46d5290, 0x10ad2826, 0xcc933bb8, 0x1643c774, 0x92b1f884,
+    0xc08d6a28, 0x1d9b5e8d, 0x34f47762, 0x14614960, 0x20851169, 0xea42b10a, 0xa291710a, 0x9d31540b,
+    0xef000878, 0x335fa417, 0x400e9be1, 0x74a4f438, 0xef532a8e, 0xd3f2fb0c, 0x37c86a7b, 0x166f7bd4,
+    0xec631fcf, 0x6ce48a6f, 0x923f36f7, 0x03bc511a, 0x7b0bc047, 0x83e1e92f, 0x7225a957, 0xd816f93a,
+    0x6f7f0b17, 0x8296073a, 0x75a87212, 0xfac431e5, 0x297d3831, 0x3d4560da, 0xf579e769, 0x02725b62,
+    0x9ea9fdd6, 0x4d6c3b03, 0x1254bdbc, 0xf843e5ba, 0x17f47759, 0x21cd8636, 0x455b8320, 0x67b66976,
+    0xe96c8378, 0xfd16a26c, 0xd740b66e, 0xb0ade5d4, 0x6cfa6b8d, 0x68cc6a50, 0xdfcd5e93, 0xe1512bc8,
+    0x51fe8440, 0xe0457785, 0x4d745cc5, 0xd50a61e2, 0x0f084347, 0xfeae42e2, 0xff7f9cc1, 0x06d59f48,
+    0xb11151e5, 0xd731de3c, 0x5d8a5f36, 0x7eaf9a52, 0xb6313e96, 0xaa70e912, 0x7f115517, 0xd2664521,
+    0x00b4f477, 0x188aecfa, 0xb5b737e8, 0x8e4353b7, 0x9ab3867a, 0x445bef36, 0xe15dda17, 0x874a9e5a,
+    0x46160ff4, 0x758184b0, 0xf0f77956, 0x1f8011b2, 0x6ffecede, 0xc2a81d3b, 0x7f2e7d31, 0x85081797,
+    0x017cfd5c, 0x1083a5ad, 0x8ff78057, 0x5f1f41d1, 0x293deafc, 0xaa859a4d, 0xbfd83ec5, 0x925f0fe9,
+    0xe90a04dc, 0xfcdf6289, 0xed654a14, 0x447de1cf, 0x5c757de0, 0xbd9fd3b8, 0x79ba1a6b, 0xf6dab434,
+    0xd4c8e928, 0xc9398e5e, 0x9509b43d, 0x957aea6d, 0x2af530cd, 0x7df1c5e4, 0x695a53ba, 0x39a9c580,
+    0x4666f4a2, 0x133636a6, 0x211fd6ce, 0x6a213eee, 0x1c6cca86, 0x13914fed, 0x90ac82e0, 0x1fbdd39e,
+    0x9e1a7e2f, 0x11e58081, 0x09d093e3, 0x46dd9888, 0xfdb05bf1, 0x2134d1f6, 0x23155f7c, 0x6cfcfad3,
+    0x61312171, 0x47760f5c, 0x883c787e, 0x4a992751, 0xf9c024d9, 0x342a3f56, 0xcb81aa6b, 0xf67d3fe1,
+    0xeb3c2a63, 0x7e4e880d, 0xe6240282, 0x730dadc1, 0xa6d95a79, 0x4651a93d, 0x9eb46f95, 0xe5d19759,
+    0xffc8ad3d, 0xecd6bcc9, 0x9237299d, 0xd675de03, 0x3a14bfef, 0xcb7aab55, 0x0960ce62, 0xbc9873b8,
+    0x3e48c843, 0x4429ad35, 0x1c832437, 0x42c81f23, 0xa974542a, 0xd15ef148, 0x13909d18, 0x21bae056,
+    0xa02f5357, 0x17b66717, 0x88d6475f, 0x2b69f370, 0x777629bf, 0x15bb76ba, 0xaff6eb50, 0x118621f6,
+    0x03db53b4, 0x3a96105d, 0x1097a59f, 0x729e1be8, 0xa96252f5, 0xd90573c2, 0x48fb68bd, 0x0fc0ac36,
+    0xa4bb2eb8, 0xc37e6f51, 0x192e6305, 0x69d3a778, 0x5547865b, 0x30306d9c, 0xe9200a13, 0xe3eb466f,
+    0x95ccb04c, 0xcad7f692, 0xefd5a02c, 0x6c1e5b35, 0x92715a8a, 0xf48fdb2c, 0xf7e7323d, 0xa6d21423,
+    0xc67bd9f7, 0x3510a17b, 0xc131207f, 0x1ad0be11, 0xd3e289ba, 0xe6bbd2ce, 0x8a8f441d, 0xd69c8d7e,
+    0xaf7779d3, 0xd88d17ec, 0x63e884be, 0xd4fddbf0, 0x3ee9998b, 0x27779c84, 0xa121240c, 0xb1f5f7ba,
+    0x95aba312, 0xa00d76f8, 0x3e5bdfd5, 0x8542c108, 0x16f0d712, 0x602affe0, 0x2a31500a, 0x2ba9d1b1,
+    0x572211bc, 0xc1c84c35, 0x98242f2d, 0x7fe7c05c, 0xc8a59bd0, 0x39a6caa8, 0xb321dfb0, 0xc74be01e,
+    0x05d51fa4, 0xffb5aef1, 0x39e48512, 0x3192a41c, 0xaeef5160, 0x01b09add, 0xe9c35c94, 0x8d78e992,
+    0x1829d3fb, 0xeac558a8, 0x6e33a167, 0x9a8c647b, 0xc65a2bb6, 0x78debd65, 0x69cffd05, 0x9a20e762,
+    0xfdf1cb36, 0xb2c0ff02, 0xa6583813, 0x63c04ea8, 0xe0bfca5a, 0x624c3c82, 0x151ab680, 0xb93d8265,
+    0x6719f0b1, 0xe600e6ba, 0x95331935, 0x00827a12, 0xaf283452, 0x5a56e18d, 0xc1226ac4, 0x606e7246,
+    0xa0638d0b, 0xac3cfc1a, 0x33d95f5b, 0x4eb893ea, 0x49e521de, 0xbcba358b, 0x985c02f2, 0x64fc6760,
+    0x4a7cf3c4, 0x74f220cf, 0xc579ddad, 0x59eecdc4, 0x540ffe66, 0xab07fb5a, 0xb92f6a7f, 0xfc6942f3,
+    0xeeac0bad, 0x170df1c1, 0xf0a7116a, 0xb7abaf4e, 0xb962f484, 0x26694066, 0x855883c1, 0x4bd88c40,
+    0x0f75ce2e, 0x0dc7b4bc, 0xa6292458, 0xdc0c8b26, 0xe0eb1c56, 0xdf908b5d, 0xf4825ade, 0xb2351c09,
+    0xab0bead7, 0x5668c236, 0xe4ead7da, 0xccd17aa9, 0x43a8f6c2, 0xda74c344, 0xe1ebebf6, 0x9a81fb14,
+    0x24de005f, 0xd422c291, 0x99660eb2, 0xaec1b1f0, 0x0a602ad4, 0xae6b3d85, 0x032e0865, 0x7a98e648,
+    0x10e395ca, 0x8faefb7a, 0xeec783fc, 0xd8859526, 0x9477700c, 0xf8938e98, 0xfd1f4cb7, 0xb9f432d6,
+    0xa35c50ec, 0x714e7e0c, 0x3e3c9b54, 0xf7e613e6, 0x0304874a, 0x21802024, 0xf856f947, 0x93df2505,
+    0x479827c5, 0x64d3d1f0, 0xbf243aa8, 0x12a28c2e, 0xbc276177, 0x0904d215, 0x736ae1ed, 0x9b56be76,
+    0xcb0b1f33, 0xfb82b42f, 0x9f275c7e, 0x84a506c9, 0x4aac8dd5, 0x2427d9e2, 0x7441e632, 0x4e85aa6c,
+    0xffa0c2c2, 0x69581c9e, 0x205c9430, 0x6708e7df, 0x632c6166, 0x04980b60, 0x7baa5214, 0x328398a4,
+    0x7de1ef07, 0x8708ddd7, 0x6931060f, 0x61f893d5, 0x0706f94c, 0x0402084e, 0x4a97490d, 0x28930483,
+    0xe6f8d25b, 0x72a1485a, 0xdc322c29, 0xc571dc81, 0xf9c1699c, 0x86e38cf5, 0xeee2f2eb, 0x58153996,
+    0x3489a93e, 0x7f9f2d7f, 0x3a5aae08, 0x11019173, 0x9a668e85, 0x1a7878fe, 0xe37815ed, 0x6cc6cef8,
+    0xe01839c3, 0x31140a73, 0xcb697ce5, 0x3d01ac29, 0x69aa70c5, 0x35af058b, 0x7f7a8041, 0x8b89654e,
+    0xbf0b788c, 0x5943d372, 0x35cf4042, 0xf236e2e5, 0x0403e8af, 0x2ebd9ade, 0x32ec2541, 0xccf21913,
+    0x59064ec4, 0x6455f318, 0xd00a5a45, 0x81e0c9f9, 0x950269a8, 0xa38ba5d5, 0xd8f42d16, 0xd5c2d4ed,
+    0x866e0da1, 0xf917a705, 0x95a0390a, 0x1dcf43c2, 0x27ab42c1, 0x838777d9, 0xb47d403a, 0xe82ea7c4,
+    0x5d7975af, 0x2e9eba66, 0x81250b62, 0x79909697, 0xff120396, 0x07314f64, 0x1930b8e7, 0x60b53acc,
+    0x3446a4c4, 0x1956fe64, 0x4fd69571, 0x74cd084e, 0x0cd49454, 0x7009e1cc, 0xc4d121cd, 0x1b9255fa,
+    0x944d0b63, 0x9a1abe2c, 0xf387a9de, 0xceee41be, 0xff511274, 0x44a57aa5, 0x052848c4, 0xf4c73b5b,
+    0x7fc103ce, 0x02b91bbb, 0xd1e0e56d, 0x830e857c, 0xff7146fb, 0x24a9db56, 0x4820b8dc, 0xd9454af5,
+    0xdfcdea2d, 0xd62cad4c, 0x05fec310, 0x7d4ddf8e, 0xaa3532bd, 0x65a8f1d8, 0x044b2fbc, 0x1499bfdd,
+    0xdffcf3a1, 0x328d1aa4, 0x0f7350a0, 0xd7cadd7a, 0x0d6ff1a3, 0x22640da7, 0xe130bbdf, 0x3f81f236,
+    0xc58de1ad, 0xe6bbae96, 0x3b1d2b74, 0x69f0ccf1, 0x9c30531b, 0xc676cd90, 0x9d99a957, 0xc2efe269,
+    0x3bfa0db2, 0xbb5b6518, 0x20fb4d2a, 0xc8ffa36f, 0x88d1ba8c, 0x99ff1c66, 0xeef91adb, 0x744e2ad5,
+    0x657beced, 0x1c8716e7, 0x0e9ae48e, 0x53d8e89e, 0xb5fc46cc, 0x675ef755, 0x2e8a84e7, 0xa6e792c8,
+    0x2f8f5a85, 0x6e5a3241, 0x82feaee3, 0xf2b10c0a, 0x54dfde7e, 0xbf50db94, 0x32f98757, 0xe96eea10,
+    0xe0860871, 0xa37255dd, 0xd6bea150, 0xe6a9ecff, 0x323c96d1, 0x6eef3ff9, 0x3b50cdff, 0xac4f103b,
+    0xab2c6c3f, 0xd0a76c94, 0x2f59920b, 0xf9f350ae, 0x36b5b1fb, 0x2528128d, 0xb5979cee, 0x7847d1af,
+    0xfff1f71b, 0x1e7d667e, 0x6754e874, 0x98de2b3a, 0xad9b1180, 0xd94981b2, 0x6b2b1001, 0x900610fd,
+    0x99208a51, 0xd41cb25d, 0xa1641a24, 0xb4310f1e, 0xcc56346a, 0x802e0b7b, 0x5f8f388e, 0x9de1fdab,
+    0xe0d8e397, 0x058a65ca, 0x9cebea26, 0x09c8ed2c, 0x16edd3de, 0x190ed9db, 0x2c81793b, 0xa61217b3,
+    0x7b724c76, 0xdd23b25e, 0xc9c3e99a, 0x528039a6, 0xede5e0b3, 0x7cce22da, 0x6a529f96, 0xad17df2e,
+    0xe3192e96, 0x1f91f8f0, 0x248b92eb, 0xb3f89583, 0x19e27439, 0xeace35ad, 0x5598ea0c, 0xe3368498,
+    0x00000000 }, /* 10**-00261871248631691349601055175746207932177331363683445183158663309447690703712\
+                          37396439066160738607233257207093473020480568073738052367083144426628220715008 */
+  { 0x00000000,
+    0x3f2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d187a,
+    0x62f99af0, 0x21622ae0, 0xc5c1db41, 0x549c52f4, 0x29ebca11, 0xb7fa9a35, 0xab300e9d, 0x32b09fcb,
+    0x00000000,
+    0xb40f67da, 0x3136138b, 0x7fd4da9f, 0xc377f411, 0xcd63d667, 0x2118df27, 0x49ecffd3, 0x0bf484cb,
+    0xd600bfbf, 0x28f442a1, 0x61f9ad7a, 0x86956997, 0x91b327c7, 0x52a7c679, 0xb5e12592, 0x18d869b5,
+    0x7eb906ae, 0x9b76467b, 0x9c60a889, 0xf3273f8f, 0xb10fd5f5, 0x50f2e470, 0x17b82ccd, 0xb519700e,
+    0x69781461, 0x6cc7efaa, 0x9c3f9858, 0xc96900db, 0x751034c0, 0x477529a2, 0xde0963b5, 0xe10879b9,
+    0x341266f2, 0x9ae99280, 0x1f2216f9, 0xe8ffe18b, 0x28b074b5, 0xc235920c, 0xaf9acdcb, 0xef29b17b,
+    0x58783d6c, 0xb9f5f6ae, 0xa487892c, 0x116cc1a8, 0xd858b160, 0x8d0accba, 0xf9bc846e, 0x7783dd90,
+    0xe1f23461, 0x206d0114, 0x301c1164, 0x519c7be3, 0x5165bc77, 0xae4ad7aa, 0xf8c4127d, 0xfeae3acb,
+    0x948c4efe, 0xd8b27011, 0x5771b405, 0x50f295af, 0xfe7360f7, 0x8a2ee8c7, 0x4558eee1, 0xcc2ee9e1,
+    0x2df852fe, 0x7fe62445, 0x1c689642, 0xa0053e81, 0x35d0caee, 0x8051cab7, 0x2edd132b, 0xb606eea0,
+    0xe58b898b, 0x307d83bf, 0x07e83a03, 0x86869506, 0x7e33cf35, 0xd652eb55, 0x933bc0a3, 0x97e4c2b3,
+    0xe7008ba1, 0x6921fa98, 0xc3882e06, 0xaab175a6, 0x542739cd, 0xccbef130, 0x474d7c85, 0x5bbed82c,
+    0xf24bdce8, 0x4e8abf29, 0xd65c616c, 0xfcf600e4, 0x83e62272, 0x8d3db54e, 0x6cd1d891, 0x3794e2e4,
+    0x57ea61dc, 0xacf2f91a, 0xc25797bb, 0x660f6cee, 0x8c3bdfb1, 0x403e1252, 0x999be7e8, 0x133ee01a,
+    0x7d9bd037, 0x347ea454, 0xf6ab0bea, 0xd920a973, 0x8659867d, 0xd03b8835, 0xeb0cfa55, 0x620c9d72,
+    0x73853f1b, 0x6185e35d, 0x8261d69a, 0x1128bb44, 0xafbebceb, 0xc90a32d7, 0xe67bbffc, 0x42e11b34,
+    0x8ca3af7a, 0x5721d3d0, 0x4abb426a, 0x745831bc, 0x609aa097, 0x49a9be4f, 0x7b188776, 0x06fee652,
+    0x1ef07e94, 0x3aabab21, 0xd802ee95, 0x022639fd, 0x85938d54, 0xe029af1c, 0x0314f108, 0x4c07b19d,
+    0xbe0d218e, 0xf590237b, 0xdf69d010, 0x2bce70f6, 0xc09711eb, 0xf1afc2e6, 0x43f001e2, 0x0181e0fe,
+    0x9f2d1237, 0x43c32f19, 0x74deb525, 0x261bf940, 0xcf6f3b05, 0xd6643648, 0xb5154508, 0x8fd3c1c3,
+    0x2a446513, 0xd76e22f9, 0xf846ec90, 0x6c10227b, 0x080ebc8a, 0x49309180, 0x65e1e127, 0x022c3b09,
+    0x496fd8de, 0x6bf8831a, 0x227f5e03, 0x47766358, 0x98040f84, 0xd525a971, 0x2dbd2636, 0xcbf18e14,
+    0x96a94232, 0x1d2ea75c, 0x95e99899, 0x7e5ad254, 0x14dcc0fb, 0xb1ae591f, 0xcc72d593, 0x68b525fb,
+    0xd79e9f0e, 0xfeed7b72, 0xee49d12b, 0x45a632a7, 0x8abcf112, 0x926b186c, 0x97e634e6, 0xfff695db,
+    0x6ba9602b, 0xed3d725f, 0x61d101d6, 0x34670d55, 0xe45ed84a, 0x0fef1899, 0xf225477d, 0x7d6c71a9,
+    0xf5762b10, 0x07f992c7, 0xbac914ba, 0x19045626, 0x678acd39, 0x83fe557e, 0x2af5cda5, 0xe2730d2a,
+    0x841f1da9, 0x695b4e3c, 0x58d12c2d, 0xa2298a97, 0x0f6d7844, 0xe02098d9, 0xc47c395b, 0x946a5caa,
+    0xc5d4f886, 0x79feae58, 0x5065e185, 0x33e401e8, 0x3ee3e026, 0x8db21d61, 0x20a00b42, 0xb435d89e,
+    0xbc918ec5, 0x66ea1267, 0x0ea103a2, 0x8d66d229, 0x158ff4fd, 0x79d6364c, 0x4939cb68, 0x5f1625b7,
+    0x93cdec1e, 0x8d0c0bf9, 0xe7806d29, 0x257b59ec, 0xf5bd3a60, 0xd16d7b7a, 0x5ab4c75d, 0x62b85dcd,
+    0x882e9162, 0x7e555f5e, 0x3e566a44, 0xccf20043, 0xda5606d4, 0x9baed5b2, 0x7d5b6a99, 0x86ee5a7b,
+    0x420b128c, 0xb44ea184, 0x80779263, 0x50ff132e, 0xe03bb56f, 0x172296e1, 0x4f5c1c2d, 0x875e332a,
+    0xbdc7fba5, 0x3d68a73a, 0xac81823b, 0xa7f91105, 0xf475fdcc, 0xf887a853, 0x4564cb8d, 0xa4dd2e07,
+    0x3c3ede20, 0x91874e21, 0x4f1dec37, 0xec7a60ce, 0x00a713d4, 0x7f963ed3, 0xa6b310d8, 0xf2305e73,
+    0x3de92bf9, 0xb6e715b5, 0x4a0ed4e7, 0x8dfc6891, 0x3bde17a5, 0x9804afe2, 0xe2504f46, 0x5ab16e97,
+    0x5c9e29eb, 0x4e1ef6a7, 0xfbf9869a, 0xae4e377f, 0xfd3582fc, 0xecf7bed3, 0x866a0884, 0x9e084909,
+    0x2c1b5d0e, 0x3ffecfd5, 0xfdd08ab7, 0xb1e3e85a, 0x9e90c7bd, 0x443f0bbe, 0x20f30034, 0x5feaec70,
+    0x8bb78c6c, 0x6c83728f, 0x183d5993, 0xbe6459ea, 0xad324f2b, 0xe965112d, 0xbd33b536, 0xd09456b3,
+    0x4a3067ec, 0x9cc3180f, 0x7a5cc397, 0xd21ed76b, 0x6db82c85, 0xca840a1f, 0xe213006b, 0xfb462826,
+    0x5b12a8f0, 0x0566844e, 0x5474cabb, 0x76e54653, 0x9e9e5604, 0xc3858b0d, 0x98472645, 0xfc01157e,
+    0x72b0a170, 0x3f78b8e3, 0xfb513475, 0x89060a72, 0xfa052ea2, 0x3fec6adb, 0xd125d5cb, 0xca5e810a,
+    0x0870d9b5, 0x62627c26, 0x2878ac4f, 0xc39cb2ef, 0x94ce0dbd, 0x15ba8389, 0xa4c90e1f, 0x3ce6ada4,
+    0xd7041643, 0x68fae487, 0x3bb7f2e5, 0xb3396445, 0xb4f700ba, 0xa28009cb, 0x611159ab, 0x71dc9eae,
+    0x1c65d911, 0xd2bcb03c, 0xc71c66a0, 0xe4d32c82, 0xcc04db6c, 0x9fa5a981, 0x361df7f6, 0xfef11a40,
+    0x1ff90a86, 0xd92d4b0c, 0xf03b1aa0, 0xa0b60290, 0x3a9b80e6, 0x64a55d9f, 0x2588acb8, 0xf74ebecb,
+    0x2c4d8aee, 0x462f24c7, 0x9e1438a7, 0x1c3701bf, 0x8ddad390, 0x2e937a09, 0x0780c9df, 0xbb272714,
+    0xf107935b, 0xca70c46f, 0x1fb7f73c, 0x1188b7da, 0x62af4255, 0x836af657, 0x31701cfb, 0x8aef259a,
+    0x36e873ff, 0x8531cbc6, 0xdf9fdbcd, 0x408e4ce4, 0x45286157, 0x84d26ef1, 0xea4d4514, 0x2868d719,
+    0x4a635cad, 0x8e98a521, 0x48c547d1, 0xe7d65c50, 0xb84fc263, 0xdab33e63, 0x481e3298, 0xd3a1d4cb,
+    0x642562f6, 0x5a0e4f9d, 0x4448acf3, 0x7fb96d64, 0xb34eabae, 0xf511f688, 0x7312095b, 0xfc71b12e,
+    0xe2b557bd, 0xe9afffc8, 0xa8cac49a, 0xc424d31e, 0x45a106b8, 0xe7751109, 0x0eae76b5, 0x997374e3,
+    0x978793e4, 0xf6a81ef1, 0x2b5437f5, 0x67e5c899, 0x0772140b, 0xa5184172, 0xf5b9b10a, 0x17c17774,
+    0x37ba8d87, 0x6cb261a0, 0xda223f54, 0xc8d96c7c, 0xb14a2ea6, 0x040ac5c0, 0x4ae54074, 0x36a75d39,
+    0x51e3d28f, 0xb140d453, 0x56f82e72, 0x35ae7c04, 0x19780467, 0x2111c944, 0x6c017cd5, 0x1faa7927,
+    0xd9668478, 0x1d4d48df, 0x82bfd567, 0x53ef5a92, 0x25004d44, 0xd80017f2, 0x76d4c36f, 0xdf0a5a0e,
+    0x80a0a479, 0x273d223a, 0x5c287665, 0xe5974b91, 0x0be8d622, 0x5b76e850, 0x1df1a05e, 0x4ff14274,
+    0x3b73e3e1, 0x376b127b, 0x75f7ca66, 0x7de97161, 0x4a6347bb, 0x2506d59d, 0x5ac48b73, 0xd88537e8,
+    0x8fde21e3, 0x665f3ad5, 0xa1b40dcf, 0xf6673b13, 0x1bed3d1f, 0xb2066b78, 0x9b623de5, 0x0c54f2c0,
+    0xcf72865a, 0xb9a20672, 0xb5ba3e5c, 0xe6f497c7, 0x4af552ed, 0x566e875c, 0xcb597a6f, 0x3a8741de,
+    0xd439b9e1, 0xab376238, 0x4e5f7395, 0x2cee9196, 0x29d66201, 0xd20f03e0, 0x107b3563, 0xee3a0315,
+    0xe2a85afb, 0x319e35e4, 0xdf36bd22, 0x9d8b8a2a, 0x9f033858, 0xab2f8e96, 0xdfea12ac, 0x00262b4f,
+    0xa1df2552, 0x33c9c7df, 0x3591c57f, 0x3a832bee, 0x5e98133e, 0x6e1f6d6b, 0x551a8419, 0x7546cbc2,
+    0x9237a4cf, 0x57e1935a, 0x78b07c7c, 0x924a913c, 0x6f83f090, 0x4da6b77c, 0x8f455cd4, 0x3962d8df,
+    0x84ed3388, 0x485d97a6, 0xa33dd106, 0x91df3ef0, 0x3b66b426, 0x34794cdd, 0xd50742de, 0x897f6451,
+    0x338fafd3, 0x78badc9a, 0x0b4421e6, 0x40826eba, 0xcf39d189, 0x1fb27b2b, 0x2cfee2e5, 0x39afb7fd,
+    0x257b8cf9, 0xcafcd071, 0x7a0fe8ea, 0x4b01b8a7, 0x00211a59, 0x62b59e65, 0x935b8481, 0x9ce416da,
+    0x915c0825, 0x10148fa9, 0x066473aa, 0xa8007ea4, 0xe8c19721, 0x5717e5fa, 0x2ea7ee5a, 0x5a7e3976,
+    0x06c53148, 0xfcf480b3, 0x9d2590d8, 0x0d73ad66, 0x1462c62a, 0xc31ba671, 0xdd9ea25a, 0x7f82cfe7,
+    0xd043c358, 0xd295113e, 0xabe4f158, 0xce00e7b0, 0xc77fe705, 0xf771bb2f, 0x013fd3cd, 0xd7f64fe8,
+    0xf24a7562, 0x9c0038b9, 0xe96d3b06, 0x09631995, 0xa8601506, 0x6c17ea0d, 0xd9115aad, 0x3ae20ca2,
+    0x02c2df53, 0x39ece24c, 0xae039b94, 0xbc3ef38e, 0x4b7b2537, 0xdc341bc4, 0x693f88f0, 0x681b4d74,
+    0x28f12be4, 0xe99ac92d, 0x51f90b0f, 0xe7c145ff, 0xf25b0032, 0xca673a2e, 0xcab884bc, 0x8c5ce41f,
+    0x09506e4e, 0xa0641a17, 0xb74d56e9, 0xb7a1e9f2, 0xdb6df25a, 0xfed4bac8, 0xf83f05a0, 0x4a63afe8,
+    0x867b1871, 0x168877a6, 0x93e1ca4a, 0x7c4b1c27, 0xbc4a7194, 0xc4ab4587, 0x47ffe83f, 0x0ea35c0a,
+    0xc71c64a2, 0xdc454967, 0x2e63b78e, 0xee4fe229, 0xf4683426, 0x3bd54e24, 0x7c221afd, 0xfc7ae3b7,
+    0xa50ffed7, 0x58c8da3a, 0x41932fa1, 0xc405d234, 0x7ffe5f4c, 0x2bc2d509, 0xcf4b495a, 0x7206a503,
+    0x4fb6db53, 0x0c5d7d65, 0xbf621f21, 0x9c09cce1, 0xaababfc4, 0x8af3f62a, 0x857971ff, 0x9eb603e8,
+    0xf2ba915a, 0x48c7afec, 0x102cb4ed, 0x54830378, 0x26f9328c, 0x2096e627, 0x4f5164c0, 0x7c12d427,
+    0x2a262c5e, 0x04272fd8, 0x1d9275e2, 0xc52a3075, 0x479029f6, 0x7bebe8bd, 0xa8b5198b, 0x369aaa9b,
+    0xcb536420, 0x43cb5ce2, 0x8445dfeb, 0xf95f03ca, 0xbd247d98, 0x004a3bd2, 0xede41842, 0xd49c40f8,
+    0x3c8696e5, 0xea6c684b, 0xf1d4009e, 0xf782370c, 0xf51fa546, 0x958e66fc, 0xec61f4bb, 0x30adcaca,
+    0xcb863b49, 0x722156a4, 0x28a1f811, 0x5551390f, 0xa8149e81, 0x040d8029, 0x8757e0a3, 0xc7f06d17,
+    0xf90d3fec, 0xacadc206, 0x176bdc77, 0x71e8b263, 0x35ee89ff, 0x0910c4d8, 0xfbced6a0, 0x13a4d6a2,
+    0x574d7e71, 0x4f002673, 0x459a46b4, 0xfae26809, 0x4093d777, 0x71647be0, 0x20009491, 0x655218a3,
+    0xad35396f, 0xba5e4bf6, 0xe910cc2b, 0xd82076a8, 0x6b438277, 0x9e46356f, 0xc257dfb9, 0xc131aad8,
+    0x4b899aab, 0x89208600, 0x7b2b9984, 0x4eba520c, 0x2be14d16, 0xed2f9178, 0xdf88f857, 0x91d9fe39,
+    0xb7c8382c, 0xffe2bef1, 0xa91d7fed, 0x9a59a730, 0x55724d97, 0x07e69262, 0x54d97a14, 0x5cac64ff,
+    0x354a3600, 0xf4f0aea6, 0xd831bb8e, 0xdd1c9cfc, 0x63c1c075, 0xc03cb70f, 0x1ee1dedb, 0x5033761c,
+    0x1fb56f6a, 0x687a7600, 0x01c21050, 0xc86e1a72, 0xadf61fb9, 0xac017eb1, 0xfceb6b5f, 0x44b9d500,
+    0xdeed23ee, 0xf99e0fca, 0xb94699c3, 0xf3d1bf00, 0xee7857c3, 0x6392bb5c, 0x73b7759f, 0x25fc1159,
+    0xa7dfd65b, 0xa5cf91e0, 0xb17a7bd5, 0xca78b2b9, 0xf138145a, 0x55907fd0, 0x7e1e7c08, 0x153134c5,
+    0xfc172d63, 0x4291a918, 0xac770917, 0xb42e0543, 0xc5693598, 0xa26acf25, 0x1fe39977, 0xcdafebda,
+    0xd361cbea, 0xc202fa7f, 0x4d922a08, 0x73caad91, 0x98990f37, 0x146b1a85, 0xd3a98822, 0x2cdd5244,
+    0xfd81ed4b, 0x1ab63066, 0xa9cd157b, 0xf346f0b9, 0x803346d3, 0x93bf7944, 0x82f7e9bf, 0xc687cd59,
+    0x7d842b78, 0x36350041, 0xea18517c, 0xcbcbf3f7, 0xfd006eb5, 0xf76fb809, 0x6c8ece55, 0x112c6912,
+    0x8b4bdadb, 0xa901fbe4, 0x7c125c32, 0x6be29260, 0x13ecb476, 0xc752d250, 0x77b92ab3, 0x10716768,
+    0xbd3743d2, 0x4e8d012e, 0x0b46f3e1, 0xf56839f3, 0x5996e9ae, 0xbd45b0d4, 0x0e2ee96d, 0xb10fcff5,
+    0xd7c93a05, 0x59226bd3, 0x7a98d4e5, 0x5450c0c1, 0xea017cad, 0x109f53a1, 0x84f2bdac, 0xb7b6ce6a,
+    0x21e76c90, 0x3fbb34fe, 0x12e8e95f, 0xbb4bc7bb, 0xa49c1a54, 0x9c5f74a7, 0x8fbc6dfa, 0xd28263e6,
+    0xc65d4026, 0x6d70fc39, 0xee45e218, 0x41756594, 0xa8bfa205, 0x86dfd7a0, 0xcc7700cd, 0x4f216b7b,
+    0x15e86043, 0x5d720e9d, 0x1a364b26, 0x873a87d3, 0xd03864a6, 0xc56fd537, 0xc3ea2119, 0xd862ac90,
+    0x475ed9e5, 0x49584ffe, 0x7e494755, 0x49cfee0f, 0xa0da8291, 0x2bdd2682, 0xa34e5c6c, 0x4fe5a042,
+    0x094951dd, 0x15abaa10, 0xcda77371, 0x2c7d3093, 0xfecba938, 0x5f296f9b, 0x0429180c, 0xb080959a,
+    0xe79613ff, 0xbbde4aab, 0xc81e6368, 0x5ceee98d, 0x3b07b4b1, 0xdc66ff83, 0x78f2aae8, 0xccb304fb,
+    0xada2bad6, 0x29875e8b, 0x6067a37f, 0x2fb3b78a, 0xef88423c, 0x34b13ba4, 0xd507851e, 0x0d294d6c,
+    0x9d316b8f, 0x21efc44e, 0x438c6e5e, 0x6ac5135b, 0x2bdc160f, 0xcce3b930, 0xcafe1ca3, 0xf26d38b2,
+    0xac2fd45b, 0x3edce806, 0x4e655152, 0x66549051, 0xf6c5df18, 0x49c433a3, 0x9751c252, 0x957a29d8,
+    0x374da7f2, 0x820f3765, 0xe3860bf6, 0x2050f1b2, 0x07119d57, 0x2d237ca6, 0xd5ecd52f, 0x7837d2ec,
+    0x3f01c0a1, 0x6f961a4c, 0x101341e6, 0x16720a1e, 0x733fe76f, 0x643dbc4c, 0xc916028b, 0x17821217,
+    0xf6d0b673, 0xfc73a545, 0x383b7d86, 0xdb99566a, 0xb5a55dce, 0x6b906688, 0x1a05d047, 0xb29193f6,
+    0x0e7d73b7, 0x96d27327, 0x79e7d502, 0x7a7361e0, 0x54b1b727, 0xee8f041e, 0x41484cf0, 0xbcf748f9,
+    0x414f2f60, 0x60db2136, 0x8995f201, 0x2da7af8c, 0x40656ea8, 0xd2243772, 0x073d17d0, 0xdd867beb,
+    0x93fa83ba, 0x18751647, 0xb454d0ed, 0xc4afde91, 0xdc3816b9, 0x3d9d527d, 0x214e34a1, 0xd748fd82,
+    0x55610292, 0x48d62670, 0xd973c54e, 0xf89b82b9, 0x3bf5c81a, 0x16ea1936, 0xdf1e1f6d, 0x6e69fc4b,
+    0x33635a90, 0x46525b96, 0x753f7281, 0xddcd3864, 0x22b4ed70, 0x945b8057, 0x1f0943f7, 0xef5b33f0,
+    0xf61652ef, 0x8cb03eb0, 0xe1078599, 0x9613bf8f, 0xbd9bef5a, 0x2dfbe34d, 0x05d8c3b7, 0xd105804f,
+    0x11b8a0f0, 0x51432674, 0xdf58336a, 0xa1a2ea67, 0x58a01555, 0xe90dd752, 0x2cf4384c, 0xd5709a24,
+    0xb0bde9ce, 0xeb125225, 0x1b34dc64, 0x0886fca4, 0x5a6d2669, 0x26e446b5, 0xc47a0948, 0x6ba2bee9,
+    0xaeff9a1a, 0x526322dc, 0xb1efb924, 0x178506df, 0xdcf42451, 0x47d002f5, 0x503b13a8, 0x8f7aba46,
+    0xdefd7ef6, 0x6ecfe46c, 0xd53f69a7, 0x48f9147c, 0x4b6f6cfa, 0xa394c3b1, 0x61795153, 0xce85af37,
+    0xee4876cf, 0x8164d935, 0xd3c47dc2, 0x454deeca, 0x4838ae2e, 0x9417321e, 0x71d90393, 0xd15df102,
+    0x38870346, 0x21c6f37e, 0xaebd19cf, 0x64429986, 0x5c74f946, 0x69950b69, 0x286e9238, 0xf37eb3d1,
+    0x57b152fc, 0xb4048d53, 0x86829897, 0x058e917e, 0xc2ecdc64, 0xb3aa9f9e, 0xba149a95, 0x12007940,
+    0xcf2e17af, 0xe68548f5, 0x249adcde, 0xbd967c03, 0xc9ce021e, 0x91538991, 0x0351ace5, 0x83fa0981,
+    0x891a36dd, 0xa730cf71, 0x3ccdf342, 0xbc2753ec, 0x8ca5ca79, 0x90be45c4, 0x93f316a1, 0xd40c1136,
+    0x05057911, 0x383feb52, 0x4ed41614, 0x65cd8ca2, 0x1bcb5510, 0xf1ace65d, 0x4e010fb9, 0xd6b47a7e,
+    0x819860c1, 0xb835324f, 0xeea02b99, 0xe5122449, 0x1f1ef3db, 0xf98c7c5e, 0xc279c8e1, 0x1704868c,
+    0x00000000 }, /* 10**-00130935624315845674800527587873103966088665681841722591579331654723845351856\
+                          18698219533080369303616628603546736510240284036869026183541572213314110357504 */
+  { 0x00000000,
+    0x3f95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3d,
+    0x317ccd78, 0x10b11570, 0x62e0eda0, 0xaa4e297a, 0x14f5e508, 0xdbfd4d1a, 0xd598074e, 0x99584fe5,
+    0x00000000,
+    0x97d0901d, 0x52ecbe3b, 0xab9af94e, 0x0013c309, 0xc00e3787, 0x36e7ef9c, 0x10fbca91, 0x24a42b2e,
+    0x0ca5360a, 0x0de25451, 0x3dd80092, 0x68ec7870, 0x2e7d9f3b, 0xb7c4fe31, 0x16ffe6f8, 0xda14fd76,
+    0x43c73f66, 0xa2a16afe, 0x41a9e092, 0x80e500ac, 0x9b8ea883, 0x0357d16c, 0x972e70b6, 0x8fee1738,
+    0xcff83990, 0x60284982, 0xe2458e54, 0x25646166, 0x4d9df0d1, 0xc0096c3d, 0x9ce61da7, 0xd3032ed1,
+    0xa851aad3, 0x4e736b2c, 0x5f03a191, 0x432e5e05, 0x9f75b917, 0x331dde99, 0xb84f2ec4, 0x038a6d00,
+    0xa1d562c8, 0x83687ff1, 0xce1c87f5, 0x80ae75c8, 0xd106a98f, 0x33fefa6c, 0xc46294a8, 0x1c4ace73,
+    0x83f7fed1, 0x0df64e0f, 0x2e92c7b2, 0x4a88a5f9, 0x23ea3c70, 0xeb934821, 0x4076fbd4, 0xfdc352a3,
+    0x754df3b9, 0xc8b09134, 0x72d44c2a, 0x9a7cd919, 0x5989784b, 0x78509848, 0xb57c83f2, 0xcd573e4b,
+    0x28441ae6, 0x419b46a8, 0x4adf3d2c, 0x65b8ea66, 0x63c98bda, 0xf9889acb, 0x8a79e023, 0x6091a995,
+    0x29593370, 0x9144a681, 0xa072320e, 0xca3adc75, 0xccf5e215, 0xdb526ca9, 0xb931211e, 0xa2c27950,
+    0x518a89cc, 0x878a6dbd, 0x7a4416ea, 0xb276dd31, 0x7bbb116a, 0x05f1c772, 0xd3a93b24, 0x35934852,
+    0x291e2639, 0x544ca3a3, 0xa64586cf, 0x8d49a6ab, 0x6cdd8213, 0x494fda34, 0x612401af, 0xfffb2c0e,
+    0x914ed97b, 0x7f149459, 0x1b2e943b, 0x2c3a30a8, 0x5ebb9c68, 0xe9402cbc, 0xaca1d6d7, 0x88bf70cd,
+    0x5e29752e, 0xb6ecb354, 0x134d921a, 0xe00637e2, 0x750fa447, 0x6203716d, 0x3b23e231, 0xe1e00303,
+    0x0ae9d46d, 0x987da795, 0xbae282d3, 0x717444fd, 0x302a67bd, 0x2440cb82, 0x77e5130f, 0xdc971d7a,
+    0xb3d75f65, 0x748f1886, 0x5fe09b36, 0xe6adea44, 0x0c659f2b, 0x5cfccf33, 0x49c59b94, 0xa6884ed0,
+    0xc167d03a, 0x44f4ad6a, 0xf3fa4bec, 0x6496efe8, 0x8ed30c28, 0xd8354f3c, 0xa35a8a51, 0xb49aeac0,
+    0x7c0ad5c3, 0x2528d31f, 0xe09e6ea2, 0xaa1d60d9, 0x6e1564bd, 0xa8cbd270, 0xad1db9ff, 0x99c5324f,
+    0x10572512, 0x184dfe5b, 0xe91fd430, 0x0c762abd, 0xd0b50a8c, 0xab32d5ab, 0x00eb4851, 0x674f0bcb,
+    0xca40d263, 0x87c00c6e, 0x834f42cb, 0xa7b704ba, 0x8c955ce2, 0xaf707b7d, 0x1dbc1ca5, 0xff69a596,
+    0x3acee58f, 0x7abfdbab, 0xe230bf49, 0xa0b8b416, 0x907ec740, 0x4bd81f9d, 0xf40a9b1c, 0x73df4d15,
+    0x9f9b6b14, 0x9b5ed665, 0x496d4a9a, 0x345fa667, 0xa15ba9f3, 0xeac408dd, 0x2c11a6c0, 0xa2828af0,
+    0xd0b02803, 0x5ef7c4d0, 0x70afee2d, 0xd3df91e0, 0x1bf77cf8, 0xee788ef7, 0xb932bd5c, 0xae97d981,
+    0xfa7353e3, 0x599d29b0, 0xa77040ee, 0x88452bba, 0x575cfc75, 0x5347ccd2, 0xc9461f0e, 0x2e4c211c,
+    0xd23de8e6, 0x98cc4bd7, 0x551a07e4, 0xc3576382, 0x187f5536, 0x8c75ab68, 0xa9a55efb, 0x0151f8f1,
+    0xcdf58a12, 0x219d69b9, 0xc8f334f2, 0xc9f68e33, 0xcf882b57, 0xa4f092bb, 0x50c3a048, 0x9daa8a0a,
+    0x2602f510, 0x14f92ffc, 0xf1c398a8, 0xb6255e8e, 0xb9e62adf, 0x46d3155d, 0x7f7957d3, 0x63ec7e76,
+    0xf4f26027, 0xec687f99, 0xb0c52acf, 0x41ce6bb0, 0x5ea6d456, 0x10f14ad7, 0x8b45c241, 0x7b7861bc,
+    0xf9e14880, 0xd9967fb1, 0x0d86b844, 0xb6dd8199, 0x9aab8820, 0x21d6e37f, 0xfa74f5a1, 0xd43529cd,
+    0xa6e1df4e, 0x237f42f2, 0x4facbe6c, 0x9aae80ff, 0x6809f57a, 0x6c9f5c64, 0xf963ca69, 0x031b69ff,
+    0x088541ee, 0xd5c5f740, 0xb2aa0df9, 0xd56d78eb, 0xc13bb387, 0xfb7a03ce, 0x44d22b0a, 0xa315e707,
+    0x0a2bd8ec, 0x2a812c44, 0xa1a3aa99, 0x350cffde, 0x6eccc3f7, 0x5089f6ee, 0x659fe246, 0xae1aafa9,
+    0x623800c7, 0x6b0f05f2, 0x89647d47, 0x451f09fc, 0x3c0f02d8, 0x6dc50645, 0x4581177f, 0x6dc907f1,
+    0xed11f288, 0x36fa502e, 0x8acb1418, 0x39416480, 0xeeff92c3, 0x02622255, 0x2bf17495, 0xc56b5bd5,
+    0xb9017915, 0x0423970f, 0x25c6d992, 0xe8aa3a85, 0xd8384cd4, 0xe3589d37, 0xf2b13ec9, 0x61318ddf,
+    0x9238d1a1, 0xf789dc3e, 0x87b380d5, 0xf79c23d8, 0x2a0cc53c, 0x2059a04c, 0x0652103a, 0x93f1a850,
+    0xe4d4fcb1, 0xc6e1b833, 0x8a779042, 0x34064ade, 0x70861851, 0xdaa12eae, 0xb03f24ad, 0xfd67c3c5,
+    0x522002b3, 0xd38d6f9f, 0x38e8ead4, 0xf797afb8, 0x773a6355, 0x718ab0ba, 0xa4de9614, 0x04019386,
+    0xc5dfc671, 0x9abf808b, 0xdd6c59d0, 0x784d7c09, 0x30625547, 0x40458992, 0x802c14d6, 0x1f2edbd5,
+    0x77eb9b84, 0x229f70f7, 0x3d994e34, 0x5bf499fc, 0xe435d682, 0x1647b435, 0x479164d5, 0x6336bcc1,
+    0xffd2a5cf, 0xbd9ba85d, 0xf68b3bba, 0x43da62ca, 0x4031ae44, 0x2d6d1f07, 0xbe59f8df, 0x9cf506e4,
+    0xe0ab292c, 0x12b17ccb, 0xe7a47a73, 0x939fb59e, 0x03154636, 0x4aeb3839, 0xea11c692, 0x891481ec,
+    0x8bd4f96e, 0xd54a0b87, 0xa4cb90e3, 0xac3adc1c, 0xf5309575, 0xab84c42e, 0xa4bf1a63, 0x76e16bde,
+    0x404d41b6, 0x02390925, 0x3ea42d38, 0xdeee6912, 0xd611f1d2, 0x86ae16a4, 0xfc8463ea, 0xd2aef9ea,
+    0x1f252bd2, 0x540bffe1, 0xe0df16fc, 0x3edf81a4, 0x3f81c7d9, 0x9c7398da, 0x6732db19, 0xd1fa9cbd,
+    0x6025181b, 0x21e09253, 0xaf3afdcb, 0xc702c165, 0xa2b7e8e9, 0x846b86c3, 0xe7450d4c, 0xfe8bca67,
+    0x4bd18b28, 0x4984e21c, 0x7b960110, 0x16bae1f7, 0xcd5e705f, 0x5553bdc2, 0xd41b556e, 0xff1dc65d,
+    0x0bf042bb, 0x338b0c43, 0x466059f5, 0xee017571, 0x258792b5, 0x38cdc4c0, 0xa713f7c0, 0x1df54ad2,
+    0x5b253653, 0x8b00782f, 0xdf32b4d3, 0xbd9ff471, 0xd53428e1, 0x672afcbf, 0x2679d8e9, 0x7b7111cb,
+    0x1a394ce3, 0xb8c80710, 0x2a98f01b, 0xa84c2a76, 0xd31934b4, 0xbff6162d, 0x28fa676d, 0x5388af15,
+    0x8d17a7b2, 0xe870579d, 0x80a3a38d, 0x63f8e81e, 0x005d6b3d, 0x87ee9cb7, 0x39f14bf3, 0xac2ad84d,
+    0x0fc6f8cd, 0x3cef159c, 0x63a425d8, 0x82c618ae, 0x57a03eee, 0x9ff92797, 0xc8cd0c52, 0x6783d2ab,
+    0x4e2a0342, 0x6d09178a, 0xea82ec8c, 0x1f0a0b81, 0xb0a89bf9, 0x238a53e9, 0x6a0351b1, 0xa87327ec,
+    0xd90b69db, 0x287bc42f, 0xff98249b, 0xc802bbd3, 0x3116d4fd, 0x507ee6cc, 0xb684d157, 0x4c133119,
+    0x517cc354, 0xb6aa122f, 0x86cbc0c0, 0xef5bde62, 0xe88bb29b, 0x9b2fdc0c, 0xce0fa714, 0x419a1cb3,
+    0xefdcd201, 0x9adadf9c, 0x6c6b1e6d, 0x81dc1463, 0xf23d88e3, 0x9d873066, 0xd7077615, 0xdbf76f5d,
+    0x284cd243, 0x1e71d67e, 0xd7f5f9cf, 0x1a4784e8, 0x498fb6d0, 0xbf2629b3, 0x1d0eeaa5, 0xde0698d1,
+    0xa417cfc7, 0xc258cc49, 0x54e4d208, 0x07feb01c, 0x42465784, 0x9d7564fa, 0x354e2797, 0xacd8147e,
+    0x0dfa3e85, 0xbff0cbe2, 0x7f3981b3, 0x8786abb3, 0x840bd2be, 0x4edab17a, 0xb5b3db99, 0x747931e8,
+    0xe3d421a3, 0x66a489c0, 0x47f092a4, 0x236f1ebb, 0x42e2a152, 0xb71c5772, 0x5893ef76, 0x4f05b58a,
+    0x5b44f0ff, 0xc7de5989, 0x2c059e44, 0xea4b0a6b, 0x32d1f0f3, 0x0a19e099, 0x63ff1260, 0x211b36fa,
+    0x6f567afc, 0xfe41627e, 0x70167adb, 0xfe3bd5f7, 0x00776a02, 0x6cd9104e, 0x4ddcaac8, 0x88058407,
+    0xad5c2d34, 0x75dafc5c, 0x60aeab2d, 0x45f178fc, 0x19640bbf, 0x70e5dec4, 0x83d297bc, 0x3286c21b,
+    0x874210f2, 0xefcc7007, 0x78060467, 0x7d679013, 0x238d39c0, 0x35d9461c, 0x1685684b, 0xf468520d,
+    0x3a07080e, 0xcb6301f8, 0x9fda85f0, 0x8c2a2487, 0x10b7697f, 0xe65d98b3, 0xda8b3904, 0x04be11a4,
+    0x78061ad5, 0xb119a985, 0x76cc4061, 0x8e1a63ab, 0xaea2c0b4, 0xe19c496b, 0xf75d335d, 0x023bb7d1,
+    0xc42feeca, 0x15d3d295, 0xc38cad6a, 0x8906e7cc, 0xaa4a5552, 0x9db2f56c, 0x39df59a1, 0x0d6bea35,
+    0x354adf32, 0x07294f80, 0x1e59c1fe, 0xf00a49f4, 0x09b644af, 0x36de1b65, 0x34bfcc38, 0xfb35a02f,
+    0xe4e9f8c4, 0xd9173d63, 0x6d1d5c8c, 0x20c26b04, 0x25b63b24, 0xcde0d190, 0x7d70cdd8, 0xb706a35e,
+    0x69710f90, 0xecff3bda, 0x096c1d66, 0xc21e4d8b, 0x6602da4b, 0xd95dda12, 0xd20f043b, 0x0df84d20,
+    0xae99d3de, 0x03c1357b, 0x2d8cf5c9, 0x75cc726e, 0x5b0ff905, 0xc6b1ea4c, 0xbf5999b2, 0xb454975c,
+    0xb61eb776, 0xffca63ce, 0xa669c58e, 0xc118f0af, 0xd2cae31e, 0xf764a836, 0xabe84e5b, 0x52bb6898,
+    0xf6b088fa, 0x51f3c288, 0x6e411798, 0x55ec6e51, 0x0601f695, 0x2a2e147a, 0xb11527a5, 0xded3be60,
+    0x8828cd18, 0x06ff0799, 0xa078f305, 0xef9df501, 0xb917190e, 0xd35626e1, 0x6db7c72d, 0x737b9f9c,
+    0xb4b2ae31, 0x9cee2d02, 0xcf76e469, 0x00722e2d, 0x650c6a0e, 0x879fc0d1, 0xaca5e131, 0xa02c0b1b,
+    0xa7a046f5, 0x256ee5a1, 0x8120c4c9, 0x84b5f94f, 0xbf97b1fa, 0xaab55b89, 0x5e25a4c7, 0x472b4838,
+    0x903a8c46, 0x350ba256, 0x50d3af97, 0x3512e586, 0x0f251f0b, 0x216f40a4, 0x084ff209, 0x7f711e50,
+    0x22183783, 0x3103b9d8, 0x57ad9912, 0x1a0148c0, 0xdd9ec63e, 0x7b2365be, 0x6bd0f5ba, 0x6eaa741f,
+    0xe5763ab6, 0xc549c01c, 0xe96e194f, 0xbfe8afda, 0xf1605d9f, 0x3fe1092a, 0x6136bfec, 0x76e24f49,
+    0xa282240f, 0xd9351497, 0x2efb7a9b, 0xcf15db3f, 0xa4e49e0a, 0x5dd5633d, 0x2439a5b5, 0x6024c50f,
+    0x38382610, 0x6d8c7f83, 0xd09d19cc, 0x81a4f397, 0xcd674682, 0xa26534f5, 0x976355b3, 0x1f5c8025,
+    0x6c219be0, 0x6b10ca91, 0xc792bb4a, 0xf8ade799, 0xf2f1f6c3, 0x8f84fefa, 0x94f657b8, 0xc57fe0ca,
+    0x88920161, 0xd12127ef, 0x3c73565b, 0xc4b5fa54, 0x8cb469c6, 0xd73e232a, 0xd8f976bf, 0x736817c2,
+    0xfdba7efc, 0xf7e3db4c, 0x6c501837, 0xfec191e7, 0x3976002e, 0x30b8c4ff, 0x219bfd82, 0xd5bd4334,
+    0x5aeaf513, 0x1a2485a3, 0xf9db2a71, 0x6b927c27, 0x0bed9b4d, 0x6fa437ca, 0xbf6ce815, 0x9e87769a,
+    0x778dc3aa, 0xddf39426, 0x57458042, 0xd6780b7d, 0x2e80d716, 0x117b5624, 0x3974ca12, 0xb9adc555,
+    0xb5b5666b, 0x3c59af33, 0x023dc718, 0x102a2e60, 0x18050e60, 0x5f7feeb9, 0x9bfbf572, 0x4515e65b,
+    0x96e0e0f4, 0x298d5765, 0x66780014, 0x8e0fb747, 0x5b80cdec, 0x9dbe2b82, 0xec8a5803, 0x4cd7bb1b,
+    0xd6db4f05, 0x76e78309, 0x51524a5d, 0x18ef7ab7, 0x6b48e713, 0xef5dbb43, 0x0e615320, 0xd7cf8092,
+    0x651f3acc, 0xc19c85dd, 0x71a00b68, 0x7a3184b6, 0xd1045950, 0xc7bcbab7, 0xd7057b6b, 0x4590f833,
+    0x0724099d, 0x6c8919ec, 0xbb3266b5, 0x4ceb85e7, 0xc5470533, 0xcd31a801, 0x056f38fd, 0x6842df9d,
+    0xd88aaf54, 0xe906586f, 0x1af85b7f, 0x5303b994, 0x1689ac44, 0x5422bc99, 0xefd7543c, 0xf4572a8b,
+    0x5ff981d4, 0x9f700005, 0xf0a1bc15, 0xc5612ba5, 0x4ad3b723, 0x0584924d, 0x78dafdc1, 0x9b15badc,
+    0x2024dadc, 0x2fddf537, 0xbdb67b71, 0x77ea4bdf, 0xe395f37f, 0x6405f6b4, 0x6e829c5c, 0xd5b7ce72,
+    0x9cdc864e, 0xa6c9dfc9, 0x2cf6f4aa, 0x5c76a990, 0xbfde21e9, 0xf0117db5, 0x6fb559ca, 0x8d17776d,
+    0x0a1e42e4, 0x371382b4, 0x82986eb6, 0xf6b13132, 0xf12ebe11, 0xd6b7d147, 0x0f82f2a7, 0xda1c3c92,
+    0x1a512d93, 0xc830fd14, 0x0631b541, 0x1cf5f742, 0xda7ae7af, 0xafe6cdd7, 0x72b6b51b, 0x842477f5,
+    0xa6539478, 0x69eb3eef, 0x6703e467, 0xe98d1eb3, 0xc05cb4cb, 0xd1233070, 0x23dfbce0, 0x36845d55,
+    0x5996b945, 0xb8e7d7df, 0xb84321ae, 0xbceb8663, 0x501f4570, 0xa2028cd1, 0xe6b07fc6, 0x9810da86,
+    0x7c305486, 0xddcaf42a, 0x62e83646, 0xb1e1aeb0, 0x5bfc905d, 0x11bdc194, 0xb775b30d, 0x1dbdf752,
+    0x6f206b31, 0x1f7ec0a9, 0xe7733008, 0x47e7203b, 0x767f9693, 0x58d200be, 0x49a287bc, 0xf36519f7,
+    0x2b8a630c, 0x152f5833, 0x95856fc6, 0x57113eeb, 0x5e30f644, 0x5e7c65c7, 0x2dc717e7, 0xe5126fd7,
+    0xbd47eb46, 0x737c43c4, 0xe13e34a5, 0x25c9f337, 0xe4a236c8, 0xfb3c3e0a, 0xdd0a8e61, 0xb455442d,
+    0x585eb532, 0xb5dae350, 0x33a68166, 0x988dcf8e, 0x3cd84720, 0xeea2a451, 0xfb25301e, 0xbf1eece8,
+    0x0cc6bcfe, 0x37edb89d, 0x072e8817, 0x8bf5e4a0, 0x72174345, 0xa656ab0c, 0x5b628b0e, 0xff2b4657,
+    0x5bf6adfd, 0xb9088bac, 0x0204ad39, 0x11bf19ad, 0x92faeb4d, 0x7f52af6d, 0xca4ea350, 0x739a2ad2,
+    0x03a233a2, 0x0dc88859, 0x49b11a77, 0x3740e5fc, 0x2b57dc7d, 0xe8d30bea, 0x9f1f9f68, 0x32ad3f20,
+    0x9390e442, 0x16517466, 0x02949735, 0xe6676a07, 0x1c092b7c, 0x71b5cf09, 0x627a7164, 0x36a371bd,
+    0xb6f39624, 0xa49583f2, 0x424f8f9c, 0x19528a73, 0xd8eef9f7, 0x2cc350ce, 0x5f8592a9, 0xc6d34db6,
+    0xb4d7b307, 0xf958ff08, 0x36e71a19, 0xaea4289f, 0x85035d70, 0x034ad194, 0x7ea4904a, 0xb74fbe47,
+    0xb2b36340, 0xb44ba3dd, 0xf39d739d, 0x8e501ada, 0xa3457047, 0x823855a9, 0x2ec438c3, 0x9059f7f5,
+    0x17bd941d, 0xceda353e, 0x2721a680, 0xeb766283, 0x055089f1, 0x478d1c2d, 0x6a8ac774, 0x7ce646a3,
+    0x95ef2a36, 0x75b1415e, 0x02d61be7, 0xa45f8015, 0x15afef23, 0xa12b05ea, 0xe2e0cfd4, 0xb5e42974,
+    0x663f01bf, 0x2ec97a8d, 0x611d04eb, 0x79099044, 0x988e5dfd, 0xd598f02b, 0x03d82108, 0xb263b9b9,
+    0x85089d9e, 0x7efea376, 0x458f0587, 0xcde8a141, 0x79ac2c47, 0x639ac9ce, 0x876bf7b2, 0x41efd109,
+    0xd908ba6b, 0xe4bf4dfe, 0x6fa984b9, 0x2d6c0d17, 0xa79d5a38, 0x65bf97ba, 0xc6038e92, 0x229dc929,
+    0x6a86b223, 0xdf04695f, 0xab46d726, 0x3cafde9a, 0x1e4a4444, 0x2c50718f, 0x8b653e63, 0xeb18b9a5,
+    0xd0084a14, 0x93c4140f, 0xc20941d4, 0xa4560fb5, 0x1b56b39a, 0xda937d46, 0xde89e643, 0x560ea23a,
+    0x3049333f, 0xd03b3b33, 0xa59a674d, 0xc189d7d1, 0x3ba9b356, 0x2698fe7c, 0x5e74e090, 0xfdc40b33,
+    0x9d908c2b, 0xf971e041, 0x00e0a506, 0x85c7d34a, 0xb60efdf7, 0x4e989a8d, 0x4360a4cb, 0x637ef513,
+    0x14a485bd, 0xf7d6093b, 0x3a7d3740, 0xc4d34d5f, 0xd4d78710, 0xbfe47b31, 0xcc725db3, 0x62504936,
+    0xf5bdb403, 0xb5a7d891, 0xa0d0a49f, 0x2698b40d, 0x1b9f25ad, 0xab3180be, 0x944b5982, 0x757a9944,
+    0x0c5dd084, 0xafd4292b, 0xbf3e43b3, 0xed7a1a10, 0x5c8b4092, 0x0ae6bd38, 0xba9831b4, 0xdc3507fa,
+    0xa3dbeb93, 0xfd5fb1d3, 0xac37289d, 0xe0acbb8b, 0x62ced49a, 0xdcd847c9, 0x7ed0082b, 0xc1115a31,
+    0xdd48612a, 0xd3347779, 0xa766061f, 0xd0b8bdfb, 0x0cfe6146, 0xabcc33c8, 0x156a8550, 0xc02beff5,
+    0x50d93ce3, 0x219e441e, 0xe80cc044, 0x5ac0717a, 0xbace7b9e, 0x3b099b1c, 0x187eb431, 0x393b54c2,
+    0x00000000 }, /* 10**-00065467812157922837400263793936551983044332840920861295789665827361922675928\
+                          09349109766540184651808314301773368255120142018434513091770786106657055178752 */
+  { 0x00000000,
+    0x3fcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461e,
+    0x98be66bc, 0x08588ab8, 0x317076d0, 0x552714bd, 0x0a7af284, 0x6dfea68d, 0x6acc03a7, 0x4cac27f2,
+    0x00000000,
+    0x8b6653f0, 0xf4e1b42f, 0xb98bcb7e, 0x3da90626, 0xd47e0d3b, 0x8cf5b8b4, 0x0eb26cbd, 0xf9c5d35b,
+    0xb734e49e, 0x5c8c811f, 0x36f82148, 0x50dd1ae4, 0xd080bca8, 0xfb369d50, 0x2919fe86, 0x13f45c33,
+    0x8fad2a7e, 0xea48d5e5, 0x1a527afe, 0xcae1cfbd, 0x70123c8f, 0x5cfc7c54, 0xcf0e16c6, 0x2175edf3,
+    0x7117a97d, 0xe477a13b, 0xdf26664a, 0x7fac3572, 0xd3b0c1e0, 0x4adda0f0, 0xd2df46cf, 0x8ff7f469,
+    0x4cf4447d, 0xd16e2daa, 0x1ae6e148, 0x09a72e4f, 0x7d074c7c, 0x0c5b7f61, 0x1d8460c0, 0xdf2f5f47,
+    0x98dc05e3, 0x4c25ea87, 0x47e73821, 0xce97614d, 0x30280d96, 0x400955a5, 0x5fb979e1, 0xb89466f3,
+    0xe1f15e93, 0x1206576f, 0x55fa8fc2, 0x8c1fbd7e, 0xfaae4376, 0x41f81ea5, 0x8dfd26df, 0x7f221a6d,
+    0xd97ec3b2, 0x965f3466, 0xd89b1cd0, 0xdd6cd598, 0x4bf82c3d, 0xfba38b15, 0x5374ca8b, 0xff9970e3,
+    0xe9d726af, 0xbf49d498, 0x22ad3dbe, 0x0893934d, 0x5d1355b0, 0x9dbca0e1, 0x11efe810, 0xda163d87,
+    0x17a0500e, 0xe056c458, 0x0b53fce1, 0xbd515574, 0xb055297f, 0x83e01d4a, 0x21c47fb8, 0x31a32ef2,
+    0xd69aa172, 0x212c09bc, 0xd2df2c66, 0x189dcf20, 0x6f5be476, 0x0039e372, 0x19043606, 0x93b33868,
+    0x3cb4623e, 0x42f7012c, 0x9ff08cc9, 0x7e6dad53, 0xb67d4139, 0xe19b014e, 0x27abd572, 0x46e06b25,
+    0xcbd4061d, 0x468a6e4c, 0x4ef8e265, 0x7ba0b477, 0xbc7573b3, 0x882339dc, 0xf09f87e6, 0x66939e23,
+    0xea9188e5, 0x8c3a8b4a, 0x1f24c878, 0x5e9d6fec, 0xaa21a140, 0x5eb24995, 0x82d19275, 0x0a3e1041,
+    0x20b35d0e, 0x4a4bb28f, 0xd5c7dec3, 0xb3a6dba6, 0x5949cfb6, 0x76e69f74, 0x63ed362e, 0x3faec053,
+    0x97287d5c, 0xad6631b5, 0xb7d6337b, 0x686a43df, 0x07f42d99, 0x949f5e60, 0xb53d1343, 0x7f031396,
+    0xad604997, 0xb8a7e3e8, 0x4055c86c, 0x620f4766, 0xd4fa8395, 0x3c79a0b2, 0xb98b6161, 0x2bfbeded,
+    0xb0883197, 0x5bbe9f1f, 0xd14a0a0e, 0x4a9b11b8, 0xd00e40d3, 0xc55b250f, 0x844b7b02, 0xc9543229,
+    0x08c0d639, 0xdb95d183, 0xdc6db3f0, 0x5fe483a1, 0xbf75a401, 0xe64de303, 0x49bed004, 0x176e55d2,
+    0x2e33a51e, 0x1199e3f8, 0x8edc79cd, 0xcbb96345, 0x8d3551d0, 0xbc83b071, 0x41a7a558, 0x1ef57740,
+    0x0ecf44bb, 0xc4ebef57, 0x2d78354b, 0x028060d1, 0x58fdc3c6, 0xa1ebe71b, 0xb7efe7ed, 0xe46017d7,
+    0x2c0f7c73, 0x9e52836b, 0xb3a08374, 0xaac1e6f0, 0xf502177d, 0x209ace6e, 0x25c2bf0b, 0xbdf1f813,
+    0xa730f806, 0x6fc5f0e1, 0xa38b6497, 0x2df44633, 0xa5b7d858, 0x1d786079, 0x561217a0, 0xf9a562ff,
+    0xbc728acf, 0xf2fed2d1, 0x6954eb24, 0x25cc5f0b, 0x8a773ed1, 0x0a1cd392, 0x22db9e4b, 0x0b9bb818,
+    0x8bc46318, 0x1edebfdd, 0xead1ee92, 0xcc8b90ad, 0x2b482ed6, 0xa1396c05, 0x17a4a93a, 0x0d5c8d4d,
+    0xa2d32d66, 0x84c22ed1, 0x683d0414, 0xb3d72618, 0xd012ffac, 0x93d66061, 0x654aef6b, 0x9df07648,
+    0x61975c50, 0x7c3e1ade, 0xf3aed2c6, 0x81efc26f, 0x9d828f7b, 0x7ec0a3be, 0x3d9a4e67, 0x367a4ae9,
+    0x18e3940d, 0xbbea7ab8, 0xe00ccd52, 0x0d9083ac, 0xbe2770cf, 0x009c8b81, 0x03b34d19, 0xc0ff1c05,
+    0x052a0057, 0xd223990b, 0x332611e5, 0xa4d41686, 0xcfe4222e, 0x25ca9cde, 0xf66d1879, 0x57117166,
+    0x0724db37, 0xe17de0ad, 0x10ff4a23, 0x191b868f, 0x74f717f3, 0x73e60069, 0xcd52119f, 0xccf74ed2,
+    0xe5b09196, 0x63d8719b, 0xfbb363d0, 0x6e39045b, 0xda6c4c93, 0xc1aaa0f0, 0xffacbdf6, 0x819c42f7,
+    0x47ca5cdb, 0x26aa9c5f, 0x79a6d4ef, 0x893bf0f0, 0x414d8e85, 0x751337ae, 0x867347ae, 0x2df486d3,
+    0x6fe6845a, 0x09e9a247, 0xa7386642, 0x007f4287, 0xe1890a5f, 0xe3477ba9, 0x7171ae56, 0x2222b7bd,
+    0x835104dd, 0xdd745b70, 0x60849f98, 0x19a7655c, 0x1351e6ba, 0x89613bbb, 0x52553838, 0xb894123b,
+    0x51b2a244, 0xa00e9e4d, 0x109d0819, 0x6d18e873, 0xf11c949d, 0x1213cb2c, 0xbbc8d0e0, 0x55a152f4,
+    0x9228c1ef, 0x29a3501e, 0x43a5e4ab, 0x373ee3eb, 0x1916e6fa, 0x7f51f841, 0x1ebaefec, 0x81d8813f,
+    0x8dcdbaa5, 0x93ac9cf7, 0x0829d2a2, 0x371919c2, 0xbf016ac2, 0xf3876446, 0xb18fa1d0, 0xaf26022d,
+    0x107a8c68, 0x8df85a83, 0x39ffe354, 0xc5bb5825, 0x5f4d9f32, 0xc099a67d, 0x5a49c337, 0xcd3bf8d2,
+    0x99849a0d, 0x758c918e, 0x38ae0d31, 0xd109ce50, 0x017738b1, 0xba244e92, 0x8d2bbcb1, 0x6346a284,
+    0xf018d857, 0xce55eb6c, 0xda5d014b, 0xc3003cfd, 0x1f4110cf, 0xd159312f, 0xc061bda8, 0x84c049cd,
+    0x3adcafd6, 0x2517326b, 0x415796e5, 0x0c0149d3, 0xf3d95e12, 0xe1fa9b39, 0xc4bafbdb, 0xc821f007,
+    0x0a4329f0, 0x38387eb6, 0xfd7cebf1, 0xa91e9b72, 0x26aab5d6, 0x8fc3ce38, 0xb0cf6b20, 0x0f3c8132,
+    0xaa46b912, 0x8c52c44c, 0x9b906f07, 0x739cc845, 0xe4ec25b2, 0x57821f72, 0x4196bb2f, 0x46dcda19,
+    0x7d0cc7d4, 0x8b645d81, 0x3cfb2f78, 0xc16ceb9b, 0x0a27f775, 0xaff847fd, 0xf6236d10, 0x2ceb6688,
+    0x933aa2ad, 0x4d3468cc, 0xfe32f954, 0x8477747a, 0x7c242ba2, 0x592cf001, 0xada3ed6d, 0x1e73be77,
+    0xd40e2184, 0x2f6117ce, 0x7bdd3cca, 0x2d68982b, 0xbac50113, 0x320cb6e6, 0x3f6c1d2a, 0x7f76fd27,
+    0x7173a2d5, 0xd3424626, 0x53e5919b, 0x8ca3cb1e, 0x63c36a82, 0x5f76fee0, 0x75e6a350, 0x7e97a7fb,
+    0x0ba86b1f, 0xc76f8bf9, 0x9f10d608, 0xc951f485, 0x1461e74e, 0xb64da535, 0xf06a5a84, 0x690ebc40,
+    0x90f1f982, 0xaee15841, 0xc45bf7e5, 0x9dd1fcab, 0xab7d9307, 0x7c3ef371, 0xddc4a317, 0x1cc6614c,
+    0x312f237f, 0x64d2b5a4, 0x64ae7f86, 0xf4bb209e, 0xb22cc04b, 0xda2c1b02, 0xecb2e09d, 0x6478efe1,
+    0xa652c146, 0x2e813d7a, 0x740b9fcf, 0xe8581955, 0x6a6ede7d, 0x807fa57f, 0xcd95ecc7, 0x9f9acf14,
+    0x93efe18d, 0x459a05cb, 0x7f66ca9e, 0xfe179e27, 0x83277bba, 0x7d6fccb9, 0xb4444e0c, 0x886912c1,
+    0x8dc8cac3, 0x90db593d, 0x560721d8, 0x2ec45d2c, 0x161c86d0, 0xbab7fe95, 0xaba27529, 0x6c59d2e0,
+    0xb1bd2e11, 0xb2328c42, 0x326d4567, 0xc032fb86, 0x3aeb0b85, 0x7d9a0c23, 0x8c195ff3, 0xe2dd98e0,
+    0x8024bf72, 0x891c606e, 0xc869e60a, 0x68b29cbe, 0x3f96561d, 0x67ba147c, 0x370fe8a4, 0xd56fe6fb,
+    0x7265f952, 0x9d9e8f42, 0x3b2912f0, 0x03299c73, 0xf300b0e2, 0x78c79c42, 0x4abfcdff, 0x7cd67369,
+    0xe98a7101, 0x93a7530f, 0x102c1163, 0xd957e3ea, 0x337f72a7, 0xb6cc87a7, 0x835f5cd7, 0x7e760da5,
+    0x0d08c8aa, 0xb5a710f9, 0xe925e5aa, 0xe46fa2ea, 0xde8e3fc7, 0x8f3a7d93, 0xc1470dfd, 0xe1e58e60,
+    0xc7cef8b0, 0x3d3ecbc0, 0x9a6b3adb, 0xc9451aff, 0x3c7e2ec8, 0x4ffc12dd, 0x878a4e32, 0xeff33335,
+    0x956e90f0, 0x09febadf, 0xa290e456, 0x39ddcbe7, 0xa74d8d52, 0x9d1cd3ac, 0x883241de, 0x16ff906d,
+    0xb365cfe3, 0x25ee74b9, 0xdb9df017, 0xc3217f11, 0x6560c756, 0xb3a42a6f, 0xb3a63468, 0xec127499,
+    0xe915a90a, 0x000e950f, 0x8a68c5c1, 0x2c88356f, 0x9c2f4f5b, 0x5cadfb8e, 0xc0924966, 0x23482559,
+    0xdd131e3b, 0xc03aff7d, 0xa5bc0b4b, 0x656733c8, 0xfc6f749d, 0x30ba11b2, 0x252e8ef2, 0xcf6e5978,
+    0x28e95b26, 0x4abc789f, 0xea895e3e, 0x68054b19, 0x9723b892, 0x76f7d4eb, 0xbcbdb962, 0x58157b6d,
+    0x15f7252c, 0xe944a1ca, 0xde36b862, 0x37196703, 0xdc5044b8, 0xbd6c4680, 0x9da69a09, 0x1b505681,
+    0x4d4e268b, 0x18298f09, 0x40bc89ce, 0x9e604df4, 0x07be6260, 0x439d5f31, 0x09a0c5a8, 0x368ec7c4,
+    0x8cc93979, 0x914aaad6, 0x8d3362bc, 0x7318557e, 0x41f5edbe, 0xb3aea77f, 0xfe45ae28, 0x0e2a2e4a,
+    0x4f2f5fa7, 0xb599495c, 0xd62bae15, 0xf3c13391, 0x9187586e, 0xf861e053, 0xb680b4c3, 0x0f47bead,
+    0xf72552a8, 0x6ace2497, 0xa3b879a6, 0x4ac72e3e, 0xc02ab278, 0xe06707e1, 0x03cc2e2c, 0xecb9302a,
+    0x34bb69e5, 0x312b2b3c, 0xeb489650, 0xc5775165, 0x66a73f08, 0x13bfb6bb, 0x9a44962a, 0xd645f4a2,
+    0x48cba81d, 0xbb2a6d91, 0x5f58285a, 0xe46758eb, 0x9eaaef21, 0xdd34d882, 0xc4e66dfc, 0x11845958,
+    0x2364ae3c, 0xc7a7d154, 0xcdb38aba, 0xb9e75d54, 0x8f25f015, 0xe91395cd, 0xcebe7ad2, 0x7c835e2e,
+    0x632f17cf, 0xf957bdd8, 0xd4951965, 0xc3f027b5, 0xd9d405b5, 0xda92d3cc, 0x9cc318a7, 0xe87b6cb3,
+    0x225a8038, 0x670c074c, 0x755d6ff5, 0xba76c916, 0xc3ab3c57, 0xce771267, 0x5d82b2ed, 0x37902f3b,
+    0x0a5b143a, 0x21cd1b03, 0x3bc6536b, 0x88ef7467, 0x8ea2327f, 0xaa8b6baf, 0xdaf96836, 0xbb06b677,
+    0xbd05caf3, 0x6edde064, 0x9fe0b339, 0x17e3539b, 0x9e435d0b, 0x1de216af, 0x83e97f8f, 0x3bb7d4b1,
+    0x1ead0688, 0x51ee4e4f, 0x0b9ab7f2, 0x73e6d0ad, 0x6b58d9ae, 0xd26774f5, 0xefdb5e12, 0x25a94304,
+    0xf6f5f664, 0xbd256e39, 0x11223e16, 0x64e28939, 0x732f5f7a, 0xfaae778c, 0xbd7d90ec, 0x7d2d88ff,
+    0x82316821, 0xa6f0091b, 0xe69e5d08, 0xa967b344, 0x5a7f46dd, 0x0b10d530, 0x4a6b5fde, 0xe90daaf5,
+    0xf1b47be9, 0x428e6a3a, 0x741b09cc, 0x136ca47a, 0x1ea59e2d, 0x8da0cf03, 0x231a13e2, 0xc11d1516,
+    0x0d6fe3fc, 0xaaf1f6cf, 0xd024fa1f, 0x9cd6ae22, 0xf2bc4025, 0x6d407d07, 0x4f2987ad, 0xaaae938d,
+    0xec326cc3, 0x467bf54a, 0x78971495, 0x35833e92, 0xa3eea88a, 0x0b68d1df, 0x18bb2fad, 0x7b8b101c,
+    0xf87a1a63, 0x7fc6dd17, 0x78b29aed, 0x6d638a92, 0x3c1319e8, 0x9a73eb7a, 0x7e70f32a, 0x829a3b2a,
+    0x8ab1a9a3, 0x2e454401, 0x585aea51, 0x67120632, 0xb5d182c3, 0x9def167c, 0x53b37c53, 0xcdea1b6a,
+    0xd248ffc3, 0x3d04e946, 0x43ce686f, 0x2a60adf5, 0x30e91337, 0x2e6ab2ff, 0x01ecc7a1, 0x63c5d2b5,
+    0x5dafa988, 0xcbe9f051, 0xd13b5aed, 0xc6547ff2, 0x14ff8aab, 0xc52a72cb, 0xb6ad99b8, 0xe29eaaca,
+    0x08507c6d, 0x4abebf52, 0x8b814f74, 0xb26d6810, 0x058b1dbb, 0x893537e5, 0xac1f3bd6, 0x7fef07d8,
+    0xeac47f55, 0x56e93781, 0xba1d2d01, 0xe6c588c5, 0x57377d7c, 0xf4ebb3b3, 0x5449485e, 0xa95160ba,
+    0x78b10310, 0x4d74dc1d, 0xea0d3581, 0x2fa1f0d8, 0xfbe910df, 0xe15c8b59, 0x2246c14e, 0x1159e32b,
+    0xce00fd00, 0xdcde19dc, 0x6a1e545e, 0x8f107f63, 0x78edca9d, 0x48634a0a, 0x933766c8, 0xeb6dc750,
+    0x4df0a885, 0x75a9cd49, 0xa8772eb5, 0x148280ea, 0xb8601a4b, 0xd5dcf166, 0x2182177c, 0x89215d1c,
+    0x646633f8, 0x11c68916, 0xb268a9fc, 0xef0070ca, 0xbc6a1413, 0x085bc533, 0xf7bf8cf7, 0x27a8eee7,
+    0x93713295, 0x81f76a47, 0xd89a82a1, 0x05f96563, 0xfb737aa4, 0xaad39c1f, 0x1b3a3852, 0x09553040,
+    0xc1154648, 0xf11dd143, 0x39ea9ded, 0x705ec006, 0xea90e9c6, 0x7bbf9982, 0xdf0ae344, 0x4ed3e3d6,
+    0x25310ad4, 0xe410edd7, 0x1a89b15b, 0xad25c6bd, 0x5a3b4cf4, 0xf228b370, 0x247f8181, 0xe0206f9d,
+    0x483f4473, 0x3eecd9d3, 0x111c6f8b, 0x65d0ca1f, 0x3dfe9e67, 0x3090c415, 0xd6057350, 0x6335e751,
+    0xfdfaf067, 0x8c377917, 0xad474148, 0x7b178ad3, 0xa5955064, 0x78e74288, 0xa1b0723d, 0xf83ff013,
+    0x087ec6e3, 0x3878efc2, 0x8d085dd3, 0xbe92fc98, 0x79b679ed, 0x2b49b078, 0x959f70b1, 0xe90224d6,
+    0xb7c01b67, 0x509ad26d, 0x952b3aaa, 0xeb2c2662, 0x7653c782, 0xc8a87a3b, 0x82144096, 0x34bf1af4,
+    0xe9e1203d, 0x8a09601f, 0xc5390f10, 0x197a6090, 0xbb2f89d7, 0x5c1bbadf, 0xc87a3270, 0x65410ccc,
+    0x732f2043, 0x2606fd59, 0x5a415750, 0x258f65f2, 0xe2777e3c, 0x1c71d287, 0x7c17db25, 0x9be7abaf,
+    0x6d7ab9b9, 0x5ce65d0c, 0xa8ffc012, 0xdc24d405, 0xfe381c29, 0xde26c1aa, 0xe0514c30, 0x1e7724c5,
+    0x9af54030, 0xff70a0d3, 0x0cf17310, 0x0025cbf1, 0x1e7982d5, 0xeacbc738, 0xdeecb0dc, 0x072dac5d,
+    0xb6fe7bcc, 0x503f7df9, 0x8b6f9e2e, 0xef46200f, 0x3344274e, 0x2520e3e3, 0x0dd2835d, 0xf7acc3b6,
+    0x2ea1c75d, 0xfdc66d47, 0x2726d965, 0xa518a32d, 0xeb609d84, 0xe761d6e0, 0xac9d7e3e, 0xb31c6339,
+    0xe37c8b3a, 0xa538182b, 0x5067272c, 0x484f15f6, 0x1fce2488, 0x18e525f1, 0x50eed5bf, 0xc2212f88,
+    0x512912b2, 0x66f01177, 0x426585d8, 0xb4499105, 0x19f925ce, 0xe28ed32c, 0xfc0cb702, 0x6caf854d,
+    0xba5ea03b, 0x12106448, 0xf613fc29, 0xc1287596, 0xd3c06f70, 0x4d98dc26, 0x84491598, 0xf810e331,
+    0x0443bf60, 0xee08a3ac, 0x7e06b44d, 0xa6096d7c, 0x5e80e1da, 0x2324ff02, 0x2c4c8d01, 0x5531181a,
+    0x37242949, 0xb40e193a, 0x3ae3155f, 0xcd593555, 0x00b0490d, 0x465d8ea2, 0xf6948f1f, 0xb8f8b3d4,
+    0x7edf9ca3, 0xe22dd92a, 0x19aa9e36, 0x3d6ff639, 0x0941e69b, 0x64940396, 0x994a4bfd, 0x45b826a1,
+    0xd2f07ae6, 0x35e17a85, 0xc97b295a, 0x419f12c3, 0xc9a7035f, 0xe076cd3f, 0x3802d3df, 0xe75d9a29,
+    0x8e4b662f, 0x3316057f, 0x3d6d1694, 0xd218600a, 0x979661db, 0x48096b55, 0x8a2bb4cf, 0x67c26252,
+    0x1a2a5441, 0xc46fe336, 0xe15a2c02, 0x3c32d343, 0xe660744a, 0x06cb29fa, 0xd1031f9d, 0x333e9865,
+    0xcfd91c3e, 0x6600b855, 0xa9ad585c, 0x8ec3c051, 0x35662824, 0x8b9f185a, 0xf737288f, 0x9b37f67b,
+    0xdace884e, 0x178a849c, 0x9cdfa5c6, 0xd3867bee, 0xf9dcf529, 0x1f683ae7, 0x9f876471, 0xa5d43fe8,
+    0x6d8b3988, 0x1f9f6ba7, 0x918df506, 0xf6b0f4c8, 0x1465b041, 0x3128a580, 0x783aad2f, 0xa672b677,
+    0xd485a261, 0xf6dde390, 0xd4d20520, 0x48ad3bd6, 0xe4f2494c, 0x70f58646, 0x8ddf94d8, 0xff63d1a4,
+    0xf2cad53a, 0xfd8bf51e, 0x30eec4e5, 0xb2c40558, 0xa76fbb42, 0xa462fc28, 0x762c5752, 0x5aa15209,
+    0x51a039e3, 0xb3deee98, 0x41020811, 0xeb518e5f, 0x14f68260, 0x9cfda582, 0xaa683742, 0x4241aabf,
+    0xfbda74e8, 0x5ab86660, 0x4c416c7d, 0xaff894dd, 0x10bf0bbb, 0x7f3b69a5, 0x05071f9a, 0x22d696a0,
+    0xb0846e48, 0xe9ba4e54, 0xaaef7a26, 0xec8dc04b, 0xda1645fe, 0x8cc558c3, 0x98bca6d1, 0x830b22c5,
+    0x23afbf6a, 0x0e6e6843, 0xa8aa2872, 0xf35f3999, 0x561bfef7, 0xeb43b25a, 0x426d8ddd, 0x6c5c82fb,
+    0xfa4d8b85, 0x0d9f063f, 0x1e0c96d9, 0x5ce6f220, 0x94018adf, 0x3b27808c, 0x691b2ec4, 0x7abbbb88,
+    0xf2304c4c, 0x018ab8d9, 0xe0255de1, 0x219a19b4, 0xf2e6fc3f, 0xd40a05d2, 0x0e8e11f7, 0xd4b26464,
+    0x47cf6b24, 0xec2ea824, 0xd2d9ccea, 0xf3e5076f, 0x8cd6eb42, 0xc0311db5, 0xfef0c457, 0xebdc3865,
+    0x00000000 }, /* 10**-00032733906078961418700131896968275991522166420460430647894832913680961337964\
+                          04674554883270092325904157150886684127560071009217256545885393053328527589376 */
+  { 0x00000000,
+    0x3fe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30f,
+    0x4c5f335e, 0x042c455c, 0x18b83b68, 0x2a938a5e, 0x853d7942, 0x36ff5346, 0xb56601d3, 0xa65613f8,
+    0x00000000,
+    0xbce8833d, 0xd576c7d3, 0x707a2a96, 0xf94a34d1, 0x3dd141d0, 0xd5d26f74, 0x15a13eb5, 0xf4398f27,
+    0x019af285, 0xab50f207, 0xd0d0ee12, 0x748ee8b7, 0xb1ebc46d, 0x44d78524, 0x32b0ba47, 0x516b8707,
+    0x8b0d5dc2, 0x346e16f5, 0x87621b3d, 0x4e88775e, 0xbedece1b, 0x400086a5, 0x6e8e07f0, 0x48e37f6b,
+    0x9cc22474, 0xfef440a6, 0xd27dd1f7, 0x7d1f592e, 0x13474c0d, 0x782976ec, 0xd946ca51, 0xf88b5ef2,
+    0x17f16af9, 0x05a4f4e8, 0x48611fad, 0x339cd88f, 0x6dcfe104, 0xcd860633, 0x1f00ee57, 0xa81bdd0b,
+    0xfede430d, 0xd319183a, 0x42b31ace, 0x8bda499d, 0x99381ec4, 0xa2f3ea2d, 0x0b8dfaa4, 0x85b1da21,
+    0x6abad9be, 0xcba14efd, 0xf534a4b5, 0x8392051b, 0xe9cf67fe, 0x9a5902d9, 0x553a0fe6, 0xd636807b,
+    0x0ec743e8, 0x891b6910, 0x52aa755b, 0x67689ee6, 0x7b0b3120, 0x1f990a06, 0xe7af9083, 0xb7df4b48,
+    0xb1836cb0, 0x596c0b9a, 0x8e4bac66, 0xd2cf0e99, 0xd54370df, 0x0a22280a, 0xf7d85ef9, 0xaefab89b,
+    0xc645b87d, 0x38c5f63e, 0x74d40c47, 0xbf9d13f4, 0xfba88122, 0x08607fcf, 0xfc776ddf, 0x762b1bfa,
+    0x595d46c0, 0xb957a03b, 0x838e78ce, 0x72296ce6, 0x0d8b6c5e, 0xf6dbabc1, 0xa4d46d58, 0x0255cb16,
+    0x84a72b0b, 0xbbb4acb2, 0x47f19204, 0x8215611a, 0xc2e23324, 0x52167b1a, 0x4a3ddce3, 0xbfde9c33,
+    0xf1049523, 0xf8865cbe, 0xe45a1f7d, 0xf79fdd6f, 0x9202ff9a, 0xcf04825f, 0x45f3d69c, 0xcb982bbe,
+    0xae4b59c1, 0x3224fd38, 0x16d22ebf, 0xfff9f6c7, 0xce0cb75e, 0x1fa052e7, 0x91776aa3, 0x71bc3bbd,
+    0xf86303ad, 0x69eca34d, 0x8d04248d, 0x4e2af52e, 0x2da08bc0, 0x0d484314, 0x6eb91f34, 0xc73ce3c6,
+    0x7d01b106, 0xac1f9a54, 0xca6ffa78, 0x9621665a, 0x1c24f4e9, 0xf4d363ff, 0x859c38a3, 0x02c20a62,
+    0x2ba1da4d, 0x74ce3aae, 0xb89c9158, 0x206c7d59, 0xe62c3936, 0xe99a2415, 0x5a15032c, 0x8e03bb9b,
+    0xea68ca51, 0x54c99200, 0xaf3ccfd2, 0xf1571bd3, 0x0a4632d6, 0x6ed5418c, 0x386e114d, 0xd5d262fe,
+    0x4b646647, 0x18217c5b, 0x6a14bbc4, 0x31a75b42, 0x93826c45, 0x7c42bfb1, 0xff977185, 0xad395924,
+    0x99566eea, 0x1ade1ae6, 0x27d4758b, 0x2481c2f5, 0x8df39969, 0x797cfc2f, 0x804868d1, 0x39287a03,
+    0x4547be2e, 0x95f617b0, 0xb8617545, 0xbc0a406b, 0x19a83ec9, 0xb6ae6afb, 0xf2f7525c, 0x716cc99d,
+    0x54af3354, 0x53188c82, 0xf089a250, 0xa8455a98, 0x7fd659e3, 0xbd37befd, 0xee386468, 0x89db05d9,
+    0x22dbbecb, 0xcadc357a, 0xb061da55, 0xa1bb591e, 0x361bc850, 0x520cd794, 0x63b427b4, 0x12dfa867,
+    0x9c48b789, 0x921c682d, 0x6c76e67f, 0x79a672e4, 0xe0edb99f, 0x2c82ad4c, 0x4dd232b4, 0xbe1ea261,
+    0xa9a13088, 0xcb5405b9, 0x682e6c48, 0x8910f27b, 0x17e770dd, 0xddae1b61, 0xb71d1fde, 0x0f0ec7d0,
+    0x0d9a0efc, 0xce7642b3, 0x876d367a, 0x16ef8757, 0x96d71079, 0xf664de6e, 0x72c47d85, 0xd2048abf,
+    0x02b0747b, 0x3ad004d9, 0x6c1f28b0, 0x52e4cd2b, 0xad119cd5, 0x71d2c44e, 0xe23defba, 0x05620239,
+    0x79db3174, 0x8fc9ff80, 0xc4e270f5, 0x936d9c26, 0x5c3d1e2f, 0x89d46db5, 0xf437862d, 0x41c1047b,
+    0x8bf9e537, 0xf5a848ec, 0xd1f5ee04, 0x9ea4f2b4, 0xc98a6e81, 0x45b8bcd1, 0x6520e3f3, 0xdaa09e39,
+    0xc32332e4, 0x623f48e4, 0x6da7d9a7, 0x3e8ad727, 0x9caec518, 0x975bd309, 0xc3cb18e3, 0xbd3f3e5f,
+    0x799e41ab, 0x19d0136a, 0x93f0fb25, 0x13793c8b, 0x935543e8, 0x0b962b55, 0xe8b09098, 0x50181734,
+    0xb8005f29, 0x52fcdf1e, 0xec81e2ce, 0xe740809a, 0xbdd400cc, 0xa0348f32, 0x2445bc93, 0xa407ea52,
+    0xdfa496bd, 0xb44f7d11, 0x7a2584d7, 0x00852cf8, 0xb3695eb1, 0x7426ab89, 0x798ea836, 0xba918c95,
+    0xd3215268, 0xf2ae30ae, 0xf22e66b9, 0x042b60ff, 0x28bed487, 0xed4f885f, 0x69310723, 0x278b3eb7,
+    0x7929961d, 0x2cf0503e, 0x7394ab1f, 0x5d556100, 0xa2d74fc0, 0xdcf6cf28, 0xcfb923cb, 0x8e4db97e,
+    0xb42d4caf, 0xb84375b4, 0x0dfe2390, 0x7337a6af, 0x9948ac0b, 0xb99f6b53, 0x63708e1a, 0xdb4e44c2,
+    0x0979d6d0, 0xe85c3f13, 0xdd1d1313, 0x81313a04, 0xadac18b6, 0x33419cc2, 0xd306a4c9, 0xad03ea20,
+    0x509a3e64, 0x0e86be8b, 0xd6825605, 0x70c6552b, 0xef3b0820, 0x522dffc2, 0x61467dcb, 0x69e244b8,
+    0x9a9cc3b6, 0x55db4852, 0xbd4d0a89, 0xd2738c78, 0xc3c1e7ef, 0xc8acc078, 0xb263b391, 0x75837bfb,
+    0x65394898, 0xd5c53aee, 0x2f9fe05f, 0xdf48c4a2, 0x851d747f, 0x23f4638c, 0xa491bbeb, 0xa5c113ec,
+    0xda4b800e, 0xd9174376, 0xd89b2d01, 0x18f3ca56, 0x8baa6005, 0xe87472d5, 0xba56e37b, 0x1cbb8b88,
+    0xaa2eeda3, 0xa81ea7af, 0x0135c21f, 0x9bcee2d8, 0xf672b5a3, 0x4d825da9, 0x5936de7b, 0x6d4d9a59,
+    0xccd5c564, 0x677f75f9, 0xe7190653, 0x97875743, 0x031ae984, 0x656bd960, 0x10d4ff08, 0x7059d2b0,
+    0x638063c9, 0xf40e89e6, 0xbb1df992, 0xe302f1f0, 0x014d70c0, 0x7c971790, 0xb6bcd3a3, 0x353867b8,
+    0xb08dd495, 0x92db3cd2, 0x6d678d7a, 0x73bdf3d1, 0xc646f2eb, 0x350c0b79, 0xa34232c3, 0xefeaf85a,
+    0xda3687c0, 0x273e0008, 0x78f145e8, 0x60725ffe, 0xa969c726, 0xa5d43136, 0x360c0cce, 0x305dc642,
+    0xde130edf, 0xf1b54008, 0x5e696e08, 0x6bd40c1a, 0x0f85bc9e, 0xe49abecf, 0x1e5ab554, 0xb086dc2b,
+    0x53d54b93, 0x2418d4ab, 0xed03e9b2, 0xb174904a, 0xda0156c8, 0xa54c5964, 0x76534bf2, 0x80b0f66c,
+    0xfa82ef2b, 0xa703a5f3, 0xcd127c56, 0x062d3c7a, 0xc2345d5d, 0xa865a3e4, 0xb6164549, 0x430ea006,
+    0x8ddcb6be, 0x32cefd12, 0xfdc16cee, 0x646ec271, 0x78b09720, 0x00cee975, 0x120d1d09, 0x564101a3,
+    0x1be61ac9, 0x09e239ef, 0x2ec387ca, 0x72010de1, 0xba646dfd, 0xd21b8b8b, 0xd04de0bd, 0xf566b6c8,
+    0xb9f5e69a, 0x7791af78, 0x99d45a1a, 0x4c642aa5, 0xbae81126, 0xe321221b, 0x37c991a9, 0xb7b9c906,
+    0x2ac617ed, 0xec8ccfa5, 0xd3001159, 0x94c8145d, 0x0bcd8a3f, 0x6a78b860, 0xace2f4e7, 0xdb5c5f48,
+    0xc1ad2ce5, 0xe12c5985, 0xcb9d9e45, 0x85a99610, 0x718f7cb1, 0xb1273138, 0x3d5f1d10, 0xe1104bdd,
+    0x772947c2, 0xb08f9cac, 0xed279f7f, 0x76fe4810, 0x7b16ee62, 0x7db5d798, 0x672a2a4a, 0x160abad9,
+    0x9a0ee1dd, 0xb374a9fe, 0x57f404db, 0xce76da1c, 0x6d2cea12, 0xdae54f71, 0x095d259e, 0xf7322b0e,
+    0x484fcc62, 0xbc45425a, 0xade043e5, 0x02fd2d8b, 0x1c3f60c6, 0x5448d2a5, 0x7f9d980b, 0x27792538,
+    0xd0734696, 0x046d569c, 0x9fe59d6e, 0xdf1326ba, 0xa69bba2e, 0x77c39ad1, 0x1c92bbb0, 0x07e04b4b,
+    0xff8741ff, 0x7b0f302d, 0x5ab140b0, 0x805037da, 0xa6dede8d, 0x343a3ac1, 0x55f1042d, 0x5ea9cbe9,
+    0x4497bd9c, 0xdb93f048, 0xc038652d, 0x10dc828e, 0xaa005fee, 0xd1cf52c0, 0x85783cea, 0x1b0b6cb7,
+    0x9e969e4b, 0x50225a1c, 0x26e27d7b, 0xb17cbe51, 0xb4cb3556, 0x872ccc56, 0x551913b7, 0x520469c3,
+    0xe6efc83c, 0xf94fcb31, 0x2ed1195a, 0xb57a84be, 0x5eecd9f8, 0xf64f44af, 0xca66f1cb, 0x29733e88,
+    0x5c2ea71d, 0x71203ad3, 0xf84e22ba, 0xf55c9cab, 0xb06952b8, 0x391f70a7, 0x36cb80f5, 0x9e68d567,
+    0x1abef9b5, 0xba5019dc, 0x26b1de40, 0x32007ccf, 0x385ca1ac, 0x31f2ff6a, 0x4a866e54, 0x5f112b0f,
+    0x2cc146ee, 0xa7e7103d, 0xbc206b80, 0xe9dff434, 0xfdf2b76e, 0x5b689a91, 0x72080c9c, 0x62561659,
+    0x6c2c9962, 0xd7c1ec2e, 0x83ee2bd5, 0x126c7872, 0xddc3e115, 0x96200db8, 0xef359b89, 0xd31279b6,
+    0xacd4ab10, 0x1ce30592, 0x827877f2, 0xe85e892e, 0x1a41d3eb, 0x65e4f54e, 0xe8c73e3c, 0x43d76fc9,
+    0xaa93850e, 0x3b676330, 0xa6a6a034, 0x169186d4, 0x685e3c88, 0x8ce0f887, 0x618964d5, 0x5cc3f58d,
+    0x43d4d5ff, 0x65076482, 0x14b34ac9, 0x8b98cbe5, 0xda84c198, 0xf92aa461, 0x1607ea1e, 0x90c4ad2e,
+    0x1c56aec8, 0x2c278230, 0x49e15915, 0x02699652, 0x315fcdfa, 0x4b68fdfd, 0x8e818ad6, 0x02b37f07,
+    0xe3fa704f, 0x06ca3e28, 0xa954c1be, 0x6176cf11, 0x0c9475c5, 0x2e5ec9db, 0x3349c169, 0x1b0add44,
+    0x27c055e9, 0x1c07f8aa, 0x8069b088, 0x0a7f49ef, 0xbcd72184, 0x32ef173a, 0xe5eea048, 0x0b262774,
+    0x2dd9a3a5, 0xc307fad7, 0x05dc8df2, 0x36e38d8f, 0x2a826761, 0xe72be88e, 0xeda16a6e, 0xad0081ea,
+    0x57e62bdb, 0xcba8e4d6, 0x9f81c082, 0xe5144f20, 0x9f87aa7e, 0x41b2050b, 0x29e669ae, 0xb5002057,
+    0xb9fee3f8, 0xed69ae79, 0x8ffe0f7a, 0xa83536c9, 0x1eaeef7b, 0xc1d81f55, 0x872ca2e7, 0xc5b218cc,
+    0xbc29f5db, 0x17f991f8, 0xc58c18c1, 0x314bfa87, 0x82ae0ac8, 0x0c059f2f, 0x0b2dc995, 0x051409c2,
+    0x24a82a0c, 0x089b7036, 0x3686935a, 0xde62932f, 0xd0fd5888, 0xa40776d3, 0x0f9610ca, 0xad2dab1c,
+    0xc509dd3e, 0x491b944c, 0x430f6245, 0x9908afe2, 0xbeec746f, 0xb31f5d1b, 0x8e40ead2, 0x47126b17,
+    0x2478f6e4, 0xd3930634, 0xe7f8b4a8, 0x90e9f241, 0x69a041ff, 0x71c915f7, 0xca360a3b, 0x157d4447,
+    0x723690e5, 0x3e50e57d, 0xf1622ada, 0xa30b0f06, 0x029f822b, 0xd59495bb, 0xd7a311f7, 0x213f32ac,
+    0xc654ffe2, 0x83dbf9a0, 0xaffc69d7, 0x0e5bc2e6, 0x5ae161ea, 0x1092a886, 0xcc8c91b4, 0x1f9b01d3,
+    0x8103f814, 0xf7e92df9, 0x1c199e0f, 0x57c0444d, 0x9a4c3812, 0xf5321bfc, 0x04a3cf83, 0xd9ebc0f6,
+    0x855cde05, 0x45ca83ed, 0xe78701b9, 0xf8f6fa88, 0x3fa6f0fb, 0x931e1111, 0x5775c85f, 0x823b6e57,
+    0xc591d2a5, 0x0e5d9ad2, 0xbbcb3bd0, 0x64883d45, 0x58aa5d53, 0x269577d4, 0x0de1c575, 0x17c74af1,
+    0x1092d0dc, 0x4d3abfd3, 0x39744c80, 0x846dd1bb, 0x2a0a1249, 0xf9df3371, 0xd390f311, 0x5b840ff9,
+    0x882f58fe, 0xbbcb90fd, 0xff403b07, 0xf49062d4, 0xac9e4475, 0x8da37eea, 0x45702fb8, 0x3e569b8d,
+    0x8dc05d46, 0x1298c503, 0x208fb36a, 0xc2512751, 0xe8f8dd57, 0x18340fa9, 0x72a97438, 0xfe79fddd,
+    0x83a8eed6, 0xef3092c8, 0xddd866b3, 0x9fd764b9, 0xfe3bc6cd, 0x604ed2f4, 0xa4702db1, 0xce4214d0,
+    0x2bc7b60c, 0x89845d6b, 0x2f2fdc71, 0xb9d15710, 0x0071212f, 0x4ba18056, 0x7cd2ab33, 0x9c9cdedb,
+    0x7105e1f8, 0x62b3c34b, 0x80b4d99f, 0x3a99331a, 0x591992d8, 0x461c01a9, 0xfc8bbc71, 0x325c3798,
+    0xfb6058ff, 0x6bda083f, 0xe5e2b8b3, 0x60b4978c, 0x5a9a6219, 0xc6bb0b66, 0x678dcb12, 0x554fe61b,
+    0x28d32931, 0xa5c445ab, 0xbb545118, 0x1cc7c603, 0x750702a6, 0x4bbb9dbb, 0x7305ac15, 0x7b2a6de9,
+    0x3e8b20f3, 0xa732daea, 0xbf0346a7, 0xc36dc35d, 0x3afc3e73, 0x9575f9e7, 0x6f9d834b, 0x842f3e7a,
+    0x254357c5, 0x4e1f0497, 0x0a393e6c, 0xaf31eae5, 0xd050091f, 0x41112956, 0xa0f901b7, 0xf9881723,
+    0xa0babe61, 0xd1748f1a, 0xdf8b5014, 0xb211b24f, 0xb7a4f749, 0xe357e751, 0x1fc7edfd, 0xe3faad76,
+    0x18ee4d9a, 0x1dca6d55, 0x9c219c71, 0xc2db83cf, 0x642bda9c, 0x4b99ce7c, 0x271a3008, 0x1d4b4704,
+    0xd85dc1bc, 0xa0b12c48, 0x5773b417, 0x6404637e, 0x61ca9b02, 0x40416401, 0x4e54fbdf, 0x842e121e,
+    0x21b454dd, 0xb9813f80, 0xb9e07bf4, 0xe5e33d21, 0xaaf3e1ff, 0xfb13edc0, 0xc5087e03, 0x92675159,
+    0xc08bb415, 0x5cfb9193, 0xbc76e4af, 0x1e022b79, 0x8c881181, 0x2dfd0a2d, 0xc56264f3, 0x2eb9fca1,
+    0x61f49c57, 0xd18283f5, 0xb12030bd, 0x6c126729, 0xb1ced2e8, 0xe9f65c1b, 0x13ad9e1f, 0xfc8db3b3,
+    0xe2150f2b, 0xd565e8e4, 0xdc88c9de, 0x150d6d95, 0xe71b61ee, 0x32172264, 0xabc167b0, 0xcb9aa56d,
+    0x4c062df3, 0x6fc6c818, 0x84373b96, 0xcc42f9a3, 0x48a5664c, 0xb9359d84, 0xd862402d, 0xfb31e2f7,
+    0x6c0d2ccf, 0x95a0e65f, 0x3a671cba, 0x3019e539, 0x2be0f737, 0xaa5bf871, 0x4e715ce5, 0xf87212c0,
+    0x05b54a49, 0xfad16282, 0x0dcb1486, 0xc900eaa4, 0x164ca095, 0x0834fa9d, 0x6f5be7ab, 0xd7d95cb9,
+    0x5def4323, 0x3a315ba7, 0xdfcc173c, 0x17dc4d2a, 0x99aac079, 0x0de58c73, 0x7fb4af18, 0x15a3a5e9,
+    0x623e8335, 0x7b8b73de, 0xddeb89fb, 0x19095180, 0x6e32309c, 0xf4e7598d, 0x11193849, 0x2291fb35,
+    0x761a9be2, 0x94f44518, 0x0b78fdd4, 0x0982c226, 0xf0ebd821, 0x2888a636, 0x782799c8, 0x0f3c394f,
+    0x3a3a7f72, 0x3a4a0a80, 0x6602cdf1, 0xf5cbe3a2, 0x56a85ffc, 0xb7f696fa, 0x9644c63d, 0x479a82ae,
+    0x856af4d7, 0x193609f7, 0xb0468fdc, 0xf5a0a210, 0x7fb7cd14, 0x415c7895, 0xe33096e3, 0xaf1d5d5a,
+    0xd38b0a12, 0x0ac08aa5, 0x35c1a599, 0x79932c47, 0x66639c6f, 0x6c437b35, 0x364472f2, 0x8de1f6b5,
+    0x9622aab8, 0xd01e37be, 0x7306b16b, 0x66d7f27b, 0x097a9bcc, 0x6bb05919, 0x785081f9, 0xdfbbd26c,
+    0xddc5d42c, 0x53b34cec, 0x573c5ec9, 0x68d6f610, 0x03be3ca0, 0xaf01b1b8, 0x99c25b18, 0x0cf86524,
+    0xa40cb529, 0xd7b72007, 0x091065df, 0xb1ab97ff, 0x2db33d6f, 0xc8853125, 0xf14436a6, 0x420e0da8,
+    0xf5382a1b, 0xd1856968, 0x8ebbd917, 0xc3ba9498, 0x7c313397, 0xee177591, 0x356e5f1e, 0x5c8fdd2b,
+    0xf39b50cf, 0xa675db52, 0x2d37bc75, 0x231af859, 0xe99c3c1c, 0x3d58bd80, 0x5b1ab28d, 0x9ad2dfb7,
+    0x94cb7126, 0x6b447d9d, 0xed347ce7, 0x7c4416c6, 0x867bc1d6, 0x56b4559e, 0x83eea141, 0x49b71ca3,
+    0x612ef010, 0x1b86a97c, 0x16d7925e, 0x5ca9fff7, 0x45857c9c, 0xe73ef0be, 0x670cb222, 0xe18ab3eb,
+    0x8f0ae00a, 0x6b2e3942, 0x82f2e975, 0x413632a7, 0xedd8f1ff, 0x4cac8135, 0x104cedce, 0x17964c48,
+    0x0b2d66ad, 0x2a84e9a0, 0x8604168a, 0x18df0e73, 0x5b67550f, 0x811381c0, 0x891aae61, 0x4f3e4d3d,
+    0xc72c2f0f, 0x7667cd79, 0xbcc20945, 0x0a1e2508, 0xf8f2185a, 0xd28acca1, 0x1697e4ef, 0x6983c2be,
+    0x2dd45e71, 0x6f787c37, 0x94216b03, 0x6a9e50a1, 0xfe4dd5af, 0xc4934626, 0x9cb4374b, 0xb643cff0,
+    0xf5c70476, 0xb18aec25, 0x1757625e, 0x05ec011d, 0x832152b4, 0x0cf02576, 0xb155b3d8, 0xe82f0f39,
+    0xe9201472, 0x5e1910f9, 0xfa521bf0, 0x5dd86862, 0x3c655d5c, 0x68624ef1, 0x36cdeb92, 0x621be61b,
+    0x6395ea1f, 0xf6bc3c88, 0xa13873af, 0xc9f749c0, 0x2b617610, 0xfbdfa3db, 0xb7f37c51, 0x93010cd6,
+    0x7a7039c8, 0xb039014f, 0x15bc5bcf, 0xe610026d, 0x0e1e1129, 0x52a9eec1, 0x2678d4d2, 0xab29e3d7,
+    0xb2404aae, 0x900fd79a, 0x9c26a230, 0x5f346046, 0x6f9976f0, 0xb1f160c7, 0x0337d070, 0xd3862e50,
+    0x00000000 }, /* 10**-00016366953039480709350065948484137995761083210230215323947416456840480668982\
+                          02337277441635046162952078575443342063780035504608628272942696526664263794688 */
+  { 0x00000000,
+    0x3ff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d187,
+    0xa62f99af, 0x021622ae, 0x0c5c1db4, 0x1549c52f, 0x429ebca1, 0x1b7fa9a3, 0x5ab300e9, 0xd32b09fb,
+    0x00000000,
+    0xdbe90557, 0x26fd3eea, 0xa9f5e294, 0xa43b9de4, 0xe755cc62, 0xf602307c, 0x4ff9126d, 0x0310980a,
+    0x3cd26176, 0xff11e1e7, 0xd798b4ad, 0xd7f88746, 0x55ecff39, 0xf05c0b1a, 0x9d8a103d, 0xafc66656,
+    0x02c71419, 0xda32072f, 0x556e0218, 0x6f346f0e, 0xf7396324, 0x1e1a6936, 0x043beb1f, 0x025029db,
+    0x4881a366, 0x6e78da64, 0x6665ff8d, 0x67c7f272, 0x2662c5ff, 0xdee767e6, 0x062191fc, 0x222bbc04,
+    0x9074a470, 0xcb72826f, 0x64e71b57, 0x07ce5a91, 0xd05cd151, 0xd448a88f, 0x993831d6, 0x53494120,
+    0x79e99cf0, 0x2d14bfc3, 0x05858cd1, 0x71e2af8d, 0x7d3bc5e5, 0xe5d4068f, 0x03c3c192, 0xfc466b4c,
+    0x6a74688f, 0x9a0cb02d, 0x0a533100, 0x2afd1fe5, 0xa0875784, 0x4dd821e6, 0x73b7080f, 0x326e123a,
+    0x837daffc, 0xb0ee8ced, 0x7866474b, 0x1896b03d, 0xc0082e09, 0xdc0cacc4, 0xb1c5bd10, 0xb2e7969d,
+    0x848200e5, 0xd3eabeb4, 0xb7b14c7e, 0xb451b233, 0x1bd2ba76, 0xe2e5dfe2, 0x917d3805, 0xf8e7c0db,
+    0x7d1fa862, 0x8f6ceaee, 0x32c5a5cb, 0x229bf2ee, 0x9da948e9, 0xb7f42759, 0x58d22347, 0x87d6a4ab,
+    0x891d3926, 0x7699aa30, 0x2cef0cb5, 0x1120375f, 0x1147444f, 0xb59f2628, 0xd7c63cb7, 0x70bca6d0,
+    0x07565a47, 0x01c8f2a2, 0x06f5fa39, 0x7d6bb01a, 0xaabfe6f8, 0xdf40f8a5, 0x8fdf6e2e, 0x1b98195c,
+    0x481e516a, 0x965dede8, 0x7c63f05f, 0xdf1db6e0, 0x5fd438f1, 0x2c7041e0, 0x90a658e6, 0x1ff40633,
+    0x93ec2b7b, 0xbdf3b726, 0xc4013017, 0x8b984066, 0xe31abbeb, 0x5aaa082e, 0x96ea2753, 0x80979617,
+    0x393325d9, 0x47638772, 0x0e1ed69c, 0x4a436a26, 0xb6ab7b1c, 0x3ad0c840, 0x56f20245, 0x28c4ff1a,
+    0x3faab63e, 0xbaee0ccd, 0xb9620a7e, 0x64bfdcff, 0xaee24e98, 0x38c247fc, 0x289b26f4, 0xadb316dd,
+    0x88bf08e2, 0xff1451dc, 0xba8f409c, 0x0472cab5, 0x5b1a3a9a, 0x4571e3e7, 0x625d0fc0, 0xeca7019d,
+    0x0f0ecebf, 0x4cb0bfde, 0xd7e43f52, 0x5b6c1a4c, 0xb54422d8, 0x9435299c, 0x0d02480b, 0xa684b7d4,
+    0x1f876c01, 0x6b9af5c7, 0x200b51e8, 0x401d19b3, 0xfeda942b, 0x7dc32e2c, 0x5fc82abc, 0x1bbc51ae,
+    0xe936fef1, 0xcd7340f5, 0x02d3bfd7, 0x193bff92, 0xe335c2cf, 0x23618aed, 0x342b5888, 0x7b707ada,
+    0x24318c04, 0x3dd99200, 0xd5997053, 0xd7511c9a, 0x9ea8f6e7, 0x3e3715fe, 0x1455df3d, 0xcfa8cd87,
+    0x259b3469, 0x6bc1836c, 0x50f7a5f1, 0xf1c433cb, 0x04b7c764, 0x2005a5ee, 0x24b6fbba, 0x5ab5baef,
+    0xc315977f, 0x9577fe35, 0x23478223, 0x6949b12b, 0xa72a3b99, 0x0740fe78, 0x22644576, 0xb48e7f51,
+    0x05da13b8, 0xf6f27032, 0xc9f301d1, 0x16121d6a, 0xf35763de, 0x3804e607, 0x2856a9dc, 0xaa83edb7,
+    0xaf992023, 0xd2ca822f, 0xc8384806, 0xb1f0baea, 0xad509224, 0x30d66823, 0xf13dd0aa, 0x89fa8c52,
+    0xa593a4c9, 0x34179eec, 0xd49014f3, 0x397e799c, 0xaa160fb7, 0xbd424b33, 0xfd194f82, 0xc2613c7a,
+    0xb144a287, 0xf4316f16, 0x83fc41bb, 0xcfa593f4, 0x3ae54912, 0xa3e8ddea, 0xd6c1eb31, 0xd7d2c0b8,
+    0x6726fd60, 0x6076272a, 0x7ff95b7e, 0x1744172c, 0xd22c3170, 0xa813b3cc, 0x972bf646, 0x3ed0b066,
+    0xf3ad3fa9, 0x3981d2be, 0x4474f567, 0xcdd1c9b1, 0x697aa0cc, 0x863743d1, 0x669404d3, 0xce1bb094,
+    0xcd51748e, 0x54430197, 0xbb7762e5, 0x4cb95a07, 0xf39e2da7, 0x5481023d, 0x64660509, 0xb8248a4c,
+    0x2b6ceb00, 0x1e901dd7, 0xa1ff6e3c, 0xea6607b9, 0x363fcd63, 0xe2703c11, 0x3a2c9463, 0x3675e5c3,
+    0x19dc224f, 0x56423772, 0x5a449525, 0xf38c153e, 0x109f5bdb, 0x66086421, 0x745585b5, 0x288e79c0,
+    0x895cfd3e, 0xd4c61f8f, 0x59eab812, 0x3d5aa54a, 0x2e6156d9, 0x5a4aff3c, 0xb2ac65d6, 0xd32885cd,
+    0x372bae3d, 0x26562c6b, 0x2855056b, 0x0a45ef3d, 0xe0a45646, 0xe2832844, 0xf87d2aee, 0xce5b8c06,
+    0x42de30cc, 0x5eb853fc, 0xe762ec24, 0x447de1a6, 0x57987da8, 0x5425b7d1, 0x031f80e7, 0xa4442886,
+    0x89e794d0, 0x4e464cce, 0xf4093b83, 0x73ebbcf2, 0x7cfb5338, 0x1eeed323, 0xa9a62a4b, 0x08e873bb,
+    0x827a880c, 0x904a0df1, 0x06adc975, 0xf2aa1abc, 0x6f871481, 0x3c3594b3, 0x9acc65bb, 0x9bcf8686,
+    0xc6b08712, 0xbb464c68, 0x56124f90, 0xebc08311, 0xa7a7ecf9, 0x77d5df77, 0x79d422ac, 0xc3b43004,
+    0x517f984f, 0x09e9d4ee, 0xe0ca5ca9, 0x75a54ea2, 0x7090a1f5, 0x49c3cbbc, 0x3d4bf6f9, 0xd5972be6,
+    0x9729f3b0, 0xc6975bfd, 0x71441171, 0xcf961247, 0xa57f1492, 0xd660193a, 0xf986458d, 0x64225af6,
+    0xa8d487dc, 0xa988f994, 0xb9d04696, 0x6a978480, 0xf3783e96, 0x4145fc57, 0xe5b857fd, 0x25ebe860,
+    0x9ba09916, 0x997398e2, 0x5e767aac, 0x9fff203a, 0x33d26a59, 0x7af414d3, 0xd8fb30fc, 0x3b2f6549,
+    0x22cc2b0c, 0x73e39953, 0xa1316858, 0x13922ab9, 0x2211e098, 0x76059739, 0x83b6878b, 0x12ee4b81,
+    0x5dce29ed, 0x1cd8befd, 0x8ce69ba1, 0x38d5c4d4, 0x8c216f06, 0xf318c521, 0x177a5e26, 0x2abbcb68,
+    0xb4978d6a, 0x1dbaeb18, 0x8d509445, 0xc204e779, 0x356ec410, 0xd7baf432, 0x5023bf0d, 0xf449cde1,
+    0x70b85b63, 0xcdb548ac, 0x6e39afa8, 0x01158937, 0x491bdc1b, 0x2451b936, 0xc3173d32, 0xedbf73a3,
+    0xdf6baa62, 0x73257993, 0x85ca86e5, 0x5e15e0e7, 0xd418f29d, 0x97ee975a, 0xebbc6c8d, 0xce5cacae,
+    0xdb26bae2, 0x120d7637, 0x945753be, 0xb023cb2d, 0x5002b000, 0xf8efabfb, 0x573274a8, 0xf8eacd35,
+    0x583a1167, 0x9987ef38, 0xef6d114b, 0x9aa23645, 0x6473cd1c, 0x7c16d59a, 0x1dddf150, 0x761691b7,
+    0x36a89a3d, 0x94f32d88, 0x6129447e, 0xc574c664, 0x75327b3e, 0xe4bbacc9, 0x0810257d, 0x86156a59,
+    0x1ddd3be0, 0x0581ded0, 0xf7810027, 0x3b677378, 0x8f362b9a, 0xa160a4c4, 0x0dcb923a, 0x5c2e7a82,
+    0xed84f25e, 0x7fc5fe8e, 0x0f62acbe, 0x3cd95e20, 0x09ac01c0, 0x76e1a14f, 0x9302abbd, 0x4aead954,
+    0xcff12954, 0xaee27533, 0xc8c4af8b, 0x55f3befc, 0xecc27dc5, 0xcb47e685, 0xdbe8c865, 0xd162014b,
+    0xfe357121, 0x3cd3b28f, 0x9af72368, 0x5ebabb1a, 0x2eacce3f, 0x3f8ff3bc, 0x872827e0, 0x3a1a2e88,
+    0x6fa10e6a, 0xc64cd3de, 0xe11745c9, 0x74730f3b, 0x353f49b5, 0xa7590195, 0xf12cdf60, 0x85ee6e26,
+    0xf17d4b8e, 0x1735625d, 0xcc6ff445, 0xfc519433, 0x4183f12b, 0x11c5fd0b, 0x467efb3b, 0xa841e703,
+    0x933e3333, 0x9fae1288, 0x449626b5, 0x3fb66eca, 0xda2257e0, 0x5c01d9d3, 0x7bdcbab9, 0x067666fc,
+    0x12309975, 0x4a74f829, 0x550bdba8, 0x0dd069c5, 0xca284162, 0x18db18a6, 0xba63bb5f, 0xe65fa3f3,
+    0x7ffcca13, 0x85b93e25, 0xe05f5216, 0x61cb0aac, 0xc81afdba, 0xa3d5bc74, 0x180734c6, 0x11a055aa,
+    0xe4578100, 0x841ffcb9, 0xa3370e99, 0x2af6ca82, 0x55ea621d, 0x129c7f38, 0xa124e208, 0x4fdaf950,
+    0xabd850da, 0x4f7ff660, 0x310856cc, 0x4ae12903, 0x23fe3659, 0xa1f6d73f, 0x4d2f3d96, 0xcd7af331,
+    0x1e620f42, 0xdd5f2a11, 0x1bbb34ad, 0xda1eff2b, 0x62de68ff, 0x1d3962a5, 0xa8364e0e, 0x45d9be2d,
+    0xfd745cb5, 0x24ee1303, 0x4f6593b8, 0x7ac9d04d, 0x6adfe406, 0x016d9e88, 0x1d875fc0, 0x9c4c0368,
+    0xa813cc91, 0x61d94118, 0x9456f415, 0xbe173a35, 0xb1531a10, 0xc205cdf4, 0xa9157c79, 0x3e08a478,
+    0x9ce3b68f, 0xa1069af0, 0x17c26dbd, 0x79aa4c36, 0x8bf723e4, 0xe6331cd1, 0x4f47afa7, 0x21cd2664,
+    0x1040d98a, 0x592a01db, 0xa417e8d7, 0xef04ab4e, 0xc0f16ff4, 0x51f4a530, 0xf6e58211, 0xd2274644,
+    0x26a420a1, 0xbad90186, 0x7c8b72da, 0xa621cb53, 0x7ba755d7, 0x5585305e, 0xb5d88999, 0x1808532f,
+    0xabf6a0e4, 0x3476e862, 0x9a4df60d, 0xde80f756, 0x2b2de816, 0xb8e00754, 0x0af04fe4, 0x65ce2de7,
+    0x75034ad1, 0xee366b32, 0x2caa0e15, 0xdad50bdf, 0x48da612d, 0x778773b1, 0x26ec9acc, 0x3af91c6c,
+    0x5b1214fc, 0x7e8bd6aa, 0xc494cd35, 0xe8adcf01, 0xbe4a6043, 0xa4d5ce04, 0xe96de230, 0x3ababed4,
+    0x23418166, 0x983a1e47, 0xc6cfe1d3, 0x7f98c7d0, 0x70084c0c, 0x8a06ff3b, 0x36461a63, 0xb8125dba,
+    0x3a64571c, 0xe0dc4527, 0xa369ddc0, 0x158920d2, 0x3ced56a0, 0x2408cc22, 0x52e51201, 0x6a546f36,
+    0x508b0be3, 0x97a0bb0e, 0x0ff32ada, 0x7afba421, 0x3e5ec4e8, 0x5ddf7978, 0x1d75fbd8, 0x832d1147,
+    0xe3d0065c, 0xd75507d0, 0x19147c4c, 0x0cbae892, 0xb7ce46ec, 0xe34c53a1, 0x763865af, 0xc58ea891,
+    0xb00eb637, 0xac34728d, 0x177498f7, 0xe9dd5429, 0x44509357, 0x31ef50c6, 0xd09d4eb1, 0x8ade0988,
+    0xff642324, 0xebc2e8d9, 0xc108e047, 0xe40d726b, 0x23d272b5, 0x735d0540, 0x1824b107, 0x2a505972,
+    0x378a16df, 0x87ff6ca6, 0x0576e6d2, 0x25e66237, 0xff007a89, 0x1c66bbdf, 0xab80065f, 0x6c572187,
+    0xd8f41d44, 0x1a1fe17f, 0xc10f642c, 0x72cd44c1, 0xa8c73dff, 0x44f914b1, 0x8db5f925, 0xc6800059,
+    0x36302065, 0x6bacc698, 0xe396facd, 0x882c5613, 0x8b576d57, 0x121ac8de, 0x981b1832, 0x1e86089f,
+    0x6dfbc3d1, 0x9b632cc2, 0x74646a80, 0x9944be6b, 0xc7d5ef5a, 0xaa51fd0f, 0xb5195c83, 0x362a1434,
+    0x2cab1b70, 0x2489b836, 0xbcfcd9a6, 0xe6fef938, 0xd9ea53bb, 0xeebbcd25, 0x96f97e7d, 0xe50af307,
+    0x75a48463, 0x79751742, 0x4eafa6fc, 0xef5208c3, 0x6a95b601, 0x1a946951, 0x8bf3743d, 0x325c8d85,
+    0xc2ba6769, 0x081d3c57, 0x93a26d1c, 0x55b5e441, 0xbc244cdc, 0xbee66b15, 0xf9fcc4e5, 0x203ae3e5,
+    0x65ae0885, 0xc555c5a2, 0x8e349a6c, 0xfdb17845, 0x84bcffb5, 0xb8ff6e31, 0x8efb3558, 0x4d8bfa04,
+    0xf47c3521, 0x9c45bf1a, 0x1f81c9ed, 0xdf0d2c81, 0xefd8e5c4, 0xd03f1a0a, 0x6944341c, 0x7b8dd52b,
+    0x4ab1d701, 0xc7cc3159, 0xcfe3e1c3, 0x128dadbe, 0x8a8c05b0, 0x88e97e1a, 0xab57782e, 0xbcd583d5,
+    0x0592471b, 0x5e293e74, 0x3e572627, 0xa5b005dd, 0xd886c926, 0xb1efa181, 0x0c7331bb, 0x3219f234,
+    0x6424ed9a, 0x8fff3987, 0x40c70df6, 0xe4814214, 0xcf6f2694, 0x386e0376, 0x8b0fed52, 0xae06c274,
+    0x2f5cd1ba, 0x97b7a764, 0x947abf44, 0xf84fd2a6, 0x9da0f9ee, 0x41bb256a, 0x1f6204b9, 0x767478fc,
+    0x40a11571, 0x3de04a55, 0xb61da62f, 0x64f9c3cc, 0x04ef504e, 0x5792d5b7, 0x75053f79, 0x5c5d548b,
+    0x3380d133, 0xf3554ebe, 0x34f30024, 0x6e3631e6, 0x6f89cb60, 0x6d3b4c12, 0x01201484, 0xf34ce0bc,
+    0x0eebf3c4, 0x51a255f5, 0xc48c16c0, 0x1507c643, 0x7b8212c0, 0xa26a8952, 0x5ff62e3e, 0x18ff5b13,
+    0xc59c77a6, 0xab658719, 0xab5939bd, 0x445ed276, 0x35ebd621, 0x51a2e841, 0x29f46757, 0x0beec4f3,
+    0x25f79169, 0xca7f8f8c, 0x3170a95c, 0x3a3fb285, 0x4abb670e, 0x7ff01ff9, 0x783bff5f, 0x3a192f6c,
+    0xc10c02bb, 0x0b2173d5, 0xd66f174a, 0xb8490218, 0x2fc11335, 0xfd804113, 0xaae60221, 0x1c3a0f50,
+    0x96cdd951, 0xf55532c8, 0xc3e47f2a, 0x1ced51d3, 0xa472b56f, 0x2ba34e68, 0x873fdaa7, 0xf4fd9d5d,
+    0x77d9b48b, 0xc9388eb7, 0x02cff6b9, 0x012ae4c9, 0x3aab7371, 0x7200abc0, 0x0cd88aa4, 0x7fd8d147,
+    0x8a101614, 0xa0dd6d30, 0x871bc8fc, 0x594e5cb6, 0xbd40f0b3, 0x4ed4a080, 0x9418a8e8, 0x4f478cc6,
+    0xff657bad, 0xab62b8e5, 0x94d1170e, 0x10566511, 0x3ffc971b, 0x9eefb9d7, 0xca2511c5, 0x55bbfeaf,
+    0x146856a8, 0xe186ee9c, 0xf4ca84bd, 0x0de96a18, 0xd10b4194, 0x0d00645f, 0x4ad551bc, 0xf245bfcf,
+    0xabaa9418, 0x390fe042, 0x62e46ce9, 0x8c961a9b, 0x33171e8c, 0xb809c901, 0xb3f1be90, 0xcad592ef,
+    0x6d0e0515, 0x246ea392, 0x17714067, 0x3e5f6cb9, 0x1161c001, 0x9883580b, 0x4e67b064, 0x59751fbf,
+    0xda7785e8, 0xfd16fb4c, 0xeaa92953, 0x03e05624, 0xf7b04cd1, 0x54a2f095, 0x4f1ed46e, 0x6e289988,
+    0x1bcc1a02, 0xad3c1ccf, 0x7466c103, 0xf9d396e6, 0x48e4d973, 0x2402d280, 0x6d6a0029, 0xa2c2dcc7,
+    0x82196c57, 0x35c2aefb, 0xab22b1fd, 0xee74183a, 0x9408e7c2, 0x71be9567, 0xdced7b8a, 0x70d48876,
+    0x8b1a8fea, 0x1582295d, 0xfe0588bd, 0xf8140476, 0x9ec29b0f, 0xf52a1ccd, 0x986589c9, 0x19b957e9,
+    0xfebcf79a, 0x94527018, 0xa90c116f, 0xcac295b2, 0x24446d2c, 0x11fe94ff, 0x46841e68, 0x2fcb2c86,
+    0x80c9451b, 0x1ec59dbc, 0x8489d292, 0xdd2ba244, 0xef5384fe, 0xed1fbe7e, 0x8bc43cc7, 0x4cad0bf0,
+    0x198e7b39, 0x5ca9d8f3, 0xeea1a6e2, 0xdfefca7a, 0x1bea49fd, 0xfe6a56a3, 0x79b31a27, 0xa7f7df31,
+    0x12ca017e, 0x81fa9fb8, 0x2f7dbe49, 0x80c679a0, 0x36ecaaa6, 0x0e21c53f, 0x863cc16b, 0x9c5482dd,
+    0x29026752, 0x9429457d, 0x429317cf, 0x2712795c, 0x77aa7f0a, 0xe823c7d6, 0xdcea7bcb, 0x97d34dcd,
+    0x037c6b25, 0xe256b405, 0x247ab833, 0x5e7de275, 0xe31ce8f6, 0xc51ba676, 0x3a73bba9, 0xe30ac6cb,
+    0x77d922f1, 0x830eb92c, 0xc154faf3, 0x650fa652, 0x41e9840d, 0x04764986, 0x20f825a1, 0x223eb951,
+    0xa44d17d7, 0x50e5fc5f, 0x6a3a19ec, 0x65887afe, 0x277b8b06, 0x1402f45d, 0xb9fe4e0c, 0xfb041812,
+    0x392a255b, 0xa0de01aa, 0x4833a25d, 0x78236e1d, 0x03ec5f60, 0x8ff457f7, 0x139826ad, 0x5660a0c8,
+    0x33d807c0, 0xddccfaeb, 0x944db350, 0xd3a66661, 0xe90010b9, 0x99c6d4ae, 0x3ee6a424, 0x043bd16f,
+    0xb6eec945, 0x37c836f0, 0x970cfb39, 0xdd6baafe, 0x3efc2df6, 0xb9eb513e, 0x5b0a01e3, 0x55207cf0,
+    0xf4443506, 0xd62e5cc7, 0x1deb4c6e, 0x207fa600, 0x20bfb622, 0xf9546419, 0xc2e59358, 0xb83f78eb,
+    0x4b1eccb7, 0xac2f4924, 0x7af087b9, 0x572c7cc9, 0xf9e3eeb3, 0xb3b1de62, 0xc31dfb2f, 0xf67629f8,
+    0x47c220af, 0x3449f265, 0xc9128033, 0xeca12c4b, 0x468dc332, 0x4f993dff, 0xa1037a0d, 0x9a717907,
+    0x570ca364, 0x10765cfa, 0x59872e55, 0xe9ae499d, 0x2beaff48, 0x9ae342dc, 0xb2d14a6a, 0x2de25c91,
+    0x66f938ba, 0x2a871b49, 0xcc6279e0, 0xf21824b3, 0x25641632, 0x3059da36, 0x40f8a24c, 0x6c9e777d,
+    0xa613a279, 0x2fb22e79, 0x47be5607, 0x09bcf4cf, 0x49b80e13, 0x22e7709e, 0xf00f80c8, 0x82d22c5e,
+    0x87accf99, 0xbaab3459, 0x72151d78, 0x69819629, 0xd5806654, 0x2df2ba82, 0xbebfa9f9, 0x773a5ab8,
+    0x7acef38b, 0xe328902e, 0x8ef3a012, 0xc9f9f837, 0x0b3d0ec1, 0x0c484ac9, 0x4edb11b8, 0x83273656,
+    0x9387f75a, 0xb82d35c6, 0x56e8e901, 0x3b5941cd, 0xd57efe45, 0x0a927909, 0x05136ccf, 0xe9a3cffd,
+    0x00000000 }, /* 10**-00008183476519740354675032974242068997880541605115107661973708228420240334491\
+                          01168638720817523081476039287721671031890017752304314136471348263332131897344 */
+  { 0x00000000,
+    0x3ff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c3,
+    0xd317ccd7, 0x810b1157, 0x062e0eda, 0x0aa4e297, 0xa14f5e50, 0x8dbfd4d1, 0xad598074, 0xe99584fd,
+    0x00000000,
+    0xa7c67214, 0xa00091f1, 0xf438d652, 0x3324013e, 0x8b185e98, 0xc1b0a34a, 0x2d5c9786, 0x69167862,
+    0x8efaff55, 0x52cf2ec7, 0x634e7311, 0x8a4aee86, 0x230ece67, 0x1f69e92a, 0xf554db30, 0x4498f2a9,
+    0xd6c4e014, 0xe4692b93, 0xab7db994, 0x297cbb95, 0xf9940289, 0xd007ddd7, 0x591a2606, 0x606345d9,
+    0xac680784, 0xcb95588f, 0xa3c4ddc5, 0x39ea9404, 0x03dbaa15, 0x65c16f2a, 0x25237fff, 0x83277aff,
+    0x00f6b4c5, 0x27e9e6b4, 0xf63b9721, 0xb720e119, 0xceff5b13, 0x303ba088, 0x276a9d05, 0xd21ba1ef,
+    0xfb3cb0f9, 0x2bbfad5b, 0x62c425e9, 0xb768f3ae, 0x7a8ee87a, 0xa77a5d05, 0xe3a84a50, 0xe77f1c90,
+    0x8b92b432, 0x754c8542, 0xae058566, 0x57e75f59, 0x1aaed037, 0x957d0a31, 0xec46b510, 0x7ec6021e,
+    0xc3c32574, 0x68aa4530, 0x95748544, 0x280e4a43, 0xaf6e6cd9, 0x67b1c3e5, 0x9980414b, 0xb11cf286,
+    0x11205b2b, 0x3b73d650, 0x172b8c0c, 0xca069779, 0x3ad3817d, 0x4ce2e1e3, 0xee638851, 0x936fde16,
+    0xdf8c7f9d, 0x2c99b6c5, 0xabed14eb, 0xa67c1dd0, 0x0c6ba527, 0xc72641d7, 0xfc213407, 0xc9759209,
+    0x8ae5ce42, 0x479a3efb, 0x72ef85a8, 0x3b8450aa, 0xde272059, 0x44f2b750, 0xc73c0954, 0xa9433bb0,
+    0x3ed58dfd, 0x69baf0f6, 0x9f8af090, 0x51afa928, 0x2478b6b1, 0x87c854ee, 0x0750609a, 0x0c1b3c2c,
+    0x5414faaf, 0x2e0a2d4c, 0xda23ffea, 0x984c82a3, 0x9f0040ec, 0x6470dcf1, 0xed6ab240, 0x417aa3b5,
+    0xb8d44465, 0xad6c62cb, 0xef933dd9, 0x7eb97034, 0x8ccdfac8, 0xd94dc663, 0x2d2edb2a, 0xc7441459,
+    0x6f112e07, 0xaef921a0, 0x77f3d723, 0x58a1e154, 0x9bbb9fb3, 0x3acb19d8, 0x492627e3, 0xf4a05b18,
+    0x2e906b36, 0x768ef99d, 0xac3b8336, 0xb96cffcf, 0x04e4448b, 0x921aed2b, 0xd58aab18, 0xa3133919,
+    0x0b5bf7d0, 0xbab07e5a, 0x2cb37597, 0xb50b9625, 0x2d8a5ab9, 0xb6a35fe2, 0x124a9552, 0x0264ed56,
+    0x5c154b2b, 0x4232d95d, 0x88b3984f, 0x8f6b7ede, 0x125518a4, 0xf7341acb, 0xde45d007, 0xe5b6d23d,
+    0x654fc92b, 0xdc8f46cc, 0xd909f84f, 0xb84fa115, 0xb7639574, 0x3bc271f3, 0x27d1a9ae, 0xe58fbb97,
+    0xf56cb703, 0x0650dae4, 0x067d19a6, 0xaf9f7703, 0x211d51cc, 0x1dd88f5f, 0xe5ba10fc, 0xa9edbe9a,
+    0x4abd2fc5, 0xcc42a66e, 0xdaf6ae00, 0x704fb426, 0x7cfff61f, 0xf33145e7, 0x95e93533, 0x1d458cc1,
+    0x8b3334f2, 0x99ba5351, 0x7069590e, 0xf65b6e56, 0x6e1881b5, 0x29f2229c, 0x19571b12, 0xf6b3868f,
+    0x6c43a1be, 0x3ef9611f, 0x70979847, 0x40b3c1be, 0xe58240a6, 0x342592a1, 0xe16c230f, 0x769b703f,
+    0xad448d3b, 0x744788f5, 0x5066c3df, 0xe33d0329, 0x7dec4757, 0x843cd4a5, 0x8ccd1474, 0x95f31da7,
+    0x78357bdf, 0x71fdee82, 0xac6e23a9, 0x6d5c6494, 0x3d2c0910, 0x3a986d11, 0x9cdb4c43, 0xed53f1a7,
+    0x381804da, 0x35f96a02, 0xcd4331af, 0x94f77da9, 0xc347767a, 0xf2f62ba2, 0x62120683, 0x4e400703,
+    0x3e9dc9a3, 0xba1c7a24, 0x25139605, 0xf740947e, 0x621c5819, 0x49471aea, 0xcf7ab631, 0xfd69a065,
+    0x7144e94c, 0x8de40248, 0x635a0f40, 0x0622d4ea, 0x7c37e661, 0xda0de970, 0xff8fd9cb, 0xe78622ff,
+    0x081ad8a7, 0x0f8119f3, 0x09331c40, 0xa0214a5e, 0x21c130dd, 0xb649fa6d, 0x6663474a, 0x4b6d653b,
+    0xea2748d9, 0xfb038a14, 0xb7236904, 0x61f33158, 0x446c898d, 0x4c2b30c5, 0x669ded66, 0xde648c85,
+    0xf67a967e, 0xfd72987f, 0xbeb6659e, 0x47bb8a44, 0x0870731d, 0xe07312ea, 0x14c590e1, 0x75a7c60c,
+    0xa35e9c72, 0x227dec40, 0xc99a2185, 0x77ec3466, 0x391bac6f, 0x9a65a85a, 0x378a0219, 0x7ebbe785,
+    0x6352f65e, 0x4b6d332b, 0x47a4a5ff, 0x90e93987, 0xae59df81, 0xffc55e48, 0x406a4f6f, 0x638d1f9b,
+    0x463b938d, 0xcaa3e114, 0xc91aa3a7, 0xb2cf7442, 0x13075ed7, 0x69329481, 0x841e588c, 0x52a224e5,
+    0xd4b30e43, 0x5ced2a7c, 0x5308f70f, 0x44be40b9, 0x73ec384e, 0x9aa6db0e, 0x530b2aee, 0xd2f83ef0,
+    0xaa9cb306, 0x98cc3006, 0xfd4feedb, 0xe301813b, 0x0019ac51, 0xe1346ff8, 0xdd3481d5, 0x27df3eb0,
+    0x95a04348, 0x5b5f79dd, 0x2c45efda, 0x47572573, 0xcb31fca9, 0x68a5418e, 0x2153cc25, 0xedae9db5,
+    0x9e2a9ae8, 0x2f62d390, 0x292fc795, 0x87ed9406, 0xdf36bb25, 0x85afcee8, 0xaa44c0db, 0xb994a11a,
+    0xe3921764, 0xe7464c35, 0xc0589038, 0x0ffadbd6, 0x5f18e72b, 0xd5084d99, 0x5795b5d3, 0xea20b99d,
+    0xc5feb032, 0x35b7ea14, 0x10d6f80d, 0x1d298526, 0x85a13ef4, 0x0ecf05ea, 0xc75e5e76, 0xf9442d8d,
+    0x2b33b4b5, 0x4b39b9e9, 0x52d9a031, 0xd1fe2109, 0xc1023151, 0x87759b57, 0x3bbc0d32, 0xff4c4b06,
+    0x70cff58b, 0x078165cc, 0xa0bbf643, 0xa052a09d, 0x16decadf, 0x5eb107bf, 0x6bd39100, 0xdedc4dbb,
+    0x9a75293e, 0x4276c1e9, 0xcf221520, 0x491062c8, 0xd32acd22, 0xd3ebc339, 0x7381e578, 0xeec4c1ec,
+    0x78035d95, 0xb2f8f050, 0x58871c96, 0xe638b795, 0xd6260a7c, 0xb9cb6f26, 0x594a43cb, 0xe25f82bc,
+    0xd73ed043, 0xf5bef2a9, 0x4ec88db8, 0x259f8370, 0x8f9942e5, 0x3fea2fb3, 0x008be22f, 0xb766a281,
+    0x742921ee, 0x90683da5, 0x04a37b49, 0xc5c9890e, 0x4629cbd3, 0x175627d1, 0x4f1682f6, 0x4213f411,
+    0x7a5afffa, 0xd26a89b9, 0x3284061a, 0x237fffea, 0x1a418a52, 0x6151e771, 0x8372e9dd, 0xe1ea9411,
+    0x9ce29895, 0x2b06668f, 0x76265d99, 0xd6d7ca73, 0x92672e18, 0xa8fb8b7c, 0x25654653, 0x81d90782,
+    0x02cbaf60, 0xf2c256cf, 0x9457aa54, 0xbd8823ae, 0x68b9b2b5, 0x9b184561, 0x4e1d7b44, 0xb22c28b8,
+    0x68717083, 0x97986547, 0x5a7c1490, 0xba1079b6, 0xf2d792a6, 0x75fb2ac0, 0xc984d9a7, 0x18fb0246,
+    0x0f061870, 0xcd9793e8, 0x9c765d81, 0x97045092, 0xebeada93, 0x90598a4d, 0xdf3c4876, 0x2ec5d002,
+    0x4c7f4e17, 0x54493141, 0x56dd8135, 0xcd5ea60a, 0x93465b96, 0x0c048b9b, 0x1b626eb2, 0x99e91252,
+    0xfbfe7f58, 0x58447c27, 0x196d2a8b, 0x729898c4, 0x4dbbe55b, 0x666c3d9d, 0x36c98988, 0x449dfe70,
+    0xe47907c4, 0xbbbfd4df, 0x2258787e, 0x3874453d, 0x4616743c, 0x02999a49, 0x1b388b34, 0xc040388b,
+    0xc3ca5a33, 0xe6e5fec1, 0xa9a22ae9, 0xdadc2804, 0xcdcf56fd, 0x8ba5ba73, 0xc7bb35bd, 0xb807e13f,
+    0x24be38ca, 0xc2acd962, 0x9a8847f3, 0x8f805354, 0x98b0694f, 0x15416f0b, 0xb224046d, 0xbb62b74a,
+    0x0f2e49d4, 0x784d594e, 0x2e03a0f8, 0x11b27396, 0x32721491, 0x8e06ca17, 0x7defde02, 0x843c8d25,
+    0xea22704f, 0x3e3e6b5b, 0x247d1052, 0x99b1e7f8, 0x3c459e17, 0xa8d993cb, 0xdf8b6420, 0xeb8d769a,
+    0xb8739819, 0x9533fa06, 0x625d2b6b, 0xd6f0524c, 0xaeda4a4d, 0xdff7660b, 0x6d2a6ae0, 0xa17fec6e,
+    0x2c863b2b, 0x8b3ef704, 0x85d8fe3e, 0x1210b042, 0x6a72aebb, 0x3b603987, 0x85bf332a, 0x6310e5ff,
+    0xc5bf83d7, 0xb394d2a6, 0xd9b61262, 0x6d911fc4, 0xd88a6b97, 0x55d4da8a, 0x522a30ef, 0xedba3f9d,
+    0x6bc91370, 0xbe9bde5a, 0xa8ba3d72, 0x48bcf712, 0x6ef451bb, 0x958ea9a4, 0xa2509771, 0x459147f7,
+    0x3eaf7eb7, 0x852e1cb1, 0x25fee274, 0xf3bb640c, 0x8e44cdb9, 0x1a0e49b4, 0xe399e728, 0xe72a6260,
+    0x0a944299, 0xb2085093, 0x990d993e, 0xcf56bd6e, 0x4d9fb7cc, 0x81afa093, 0x2d10a6c4, 0x679e8d93,
+    0x6d458265, 0xcafa3518, 0x78045db7, 0xd704d063, 0x3e729a30, 0x02613728, 0x00d7ee43, 0xb6930531,
+    0x4b9f4d14, 0x91db84c5, 0x00709a59, 0xdd806156, 0x2548769b, 0x9844e282, 0xcea63426, 0xaa48d16f,
+    0x3de02714, 0x810e9cda, 0x1d5eccd9, 0xb59b9aa5, 0xfc013b67, 0x80bb117c, 0xbe81c273, 0x363bd470,
+    0x82bada23, 0xd4de46db, 0xb7f0c4d6, 0x7dfc741d, 0x391d6c2e, 0xa59aaabf, 0xb0f1b128, 0x4bffc7ef,
+    0x5915e56e, 0x7d4eb6f3, 0x6a16f1a0, 0x8e63a74b, 0x3fc0b6ed, 0x45af86d6, 0xc54fd68e, 0x258d2f17,
+    0x4324c0bf, 0x577bb1b2, 0x2e549b08, 0x56efb5a8, 0x1fae78a4, 0xb5e1481b, 0x70b38c3f, 0xeb3d6b70,
+    0xf8b1261f, 0xba3832aa, 0xe98fb2d3, 0x9e6ffb40, 0x0ea720e6, 0xc0fb8a99, 0xb9fda718, 0x7053fa7c,
+    0xdd04bb2c, 0x90d5eda6, 0x98694ed6, 0x6b830e90, 0xa089e882, 0x3aa75b08, 0x2689c031, 0x812bd433,
+    0x0a127d39, 0xc0d2cdca, 0x2c23a026, 0x8499944f, 0x98d26f78, 0x9891a05e, 0xc7428251, 0xf6952417,
+    0x5c8c00c4, 0xd1aa6225, 0x01c50aed, 0x6666ddfd, 0x709979d4, 0xcf6079f2, 0x7607ce3a, 0xfbdb34e8,
+    0xdaad3e7f, 0x67f97fc1, 0xdefc39b7, 0x350a9d48, 0xbcef9116, 0x98b478fc, 0x601bd7cd, 0xa09326c5,
+    0x10cf2aae, 0xe834bede, 0x2d9e4a7f, 0xfe78c570, 0xbece109e, 0x52e75bf6, 0xcd1d792c, 0x1cac0f5d,
+    0x1d75c4eb, 0xaca7eff1, 0x2747e9a9, 0xdf2043ec, 0xa40c7bb6, 0x959f119b, 0xf0f965d6, 0xfed34106,
+    0xc6069c2d, 0x98897204, 0x9ffb96eb, 0x37b0a61a, 0x96a2cb1b, 0xe269f85b, 0xc3f23db2, 0x96a9fff4,
+    0xc4d50963, 0x36992f49, 0x801bc8f5, 0xe9f5f044, 0xdede17e6, 0x225f44a8, 0x14bcae5b, 0x33e8c40c,
+    0xdc5056df, 0x27062695, 0xd0a23cab, 0x737ab47a, 0xe0a1ceaf, 0x2fb5dfe6, 0xf8fc7ac6, 0x4672dc22,
+    0xdb03e1a9, 0x53d124db, 0xd0baade0, 0x666f02b1, 0x8ca4925e, 0xec872da2, 0x1cd02a75, 0x42b150d6,
+    0xb77a6151, 0xc6d2db0e, 0xe285810e, 0x330739b1, 0xe9c18d23, 0x75332c07, 0xc8b21c03, 0xe9dfb4d8,
+    0xe53313b1, 0xa6fdf13b, 0x15612a98, 0xc3a49f80, 0x74e6fb63, 0xd7603cb9, 0xf9445ae3, 0x96a0abe6,
+    0x79163a73, 0x90785cbd, 0x54e8b97e, 0x603ce0de, 0x8a99911c, 0x1331fd2d, 0x1a30f656, 0x226c6c1d,
+    0xb1d11ffc, 0x5b86e822, 0xe4dc796c, 0x1e96aab7, 0x12fce8ea, 0x39b5ec26, 0x4ce2fbc0, 0xf828d4c2,
+    0x6eb0499d, 0xcc0cd50a, 0xb24a8540, 0x7ab5a39d, 0x3d43b8d9, 0x36747e4b, 0x9f68cef5, 0x9906616d,
+    0x4d89277d, 0xcdaed6db, 0xe302a287, 0x87bc99d2, 0x8d4ca616, 0x11a0b40c, 0x46933306, 0x74d08e47,
+    0xe3444d29, 0xae660f4b, 0x7bc06622, 0x7a3235d8, 0x6fd24bfe, 0x3862e90f, 0xdd8e9eab, 0x930dbeb3,
+    0xa1176933, 0x7e715023, 0xc508c142, 0xf1221cc4, 0x8a16d19a, 0x976f19a8, 0x72b69416, 0x30cfc94b,
+    0x2910e911, 0xc12cc671, 0xee1b85e6, 0x785cd8d4, 0xbe4feb09, 0x2687ca5d, 0xf2125197, 0x555579a4,
+    0xb328403c, 0xbb8897b4, 0x28644b4a, 0x271f0e33, 0x669712d7, 0x31aa6642, 0x000a838f, 0x72dc213c,
+    0x77477d77, 0x697c904b, 0x9b334ccb, 0x3856277c, 0xabfe5126, 0x6dd58736, 0x61dd6b7d, 0x29293067,
+    0x5add91f6, 0x6a5fe545, 0xbd42de5b, 0x4d38c4b3, 0xb0739db4, 0x6e32921f, 0xa17462fe, 0xf491efd3,
+    0x723e4010, 0x689190b7, 0xe86192e7, 0xd6615c1c, 0xbe5223f5, 0xbd9168c2, 0x09e1ab56, 0x1a095ce5,
+    0xbb819de5, 0x4c1a0bc9, 0x3c76dfa6, 0x840fc69c, 0xc39315ae, 0x42fc8e61, 0x974ff877, 0xb94ce176,
+    0x2ac97e0f, 0xcb32810b, 0x20b8e789, 0xe3cc2f41, 0x72a3bd1d, 0x373d09c0, 0x004edff5, 0x92d0628a,
+    0xeb3034f9, 0x3b172bf4, 0x6bfbeaf4, 0xc4f3ca0b, 0xef0c447f, 0x6b2deffc, 0x5745019c, 0x66abb7ad,
+    0x8e7797f3, 0x15f6f068, 0xa63ef5c9, 0xe7cc569a, 0x49fddfae, 0xe6aec7bd, 0xd27aa0fc, 0xa2cd94fc,
+    0xe261c678, 0x94a53b2f, 0x3ddaa165, 0x98f061ab, 0xfca86c63, 0x47453e4a, 0xefa273e5, 0xdd593818,
+    0x4609c096, 0x19e89a78, 0x5be0b86e, 0x7231b510, 0x33e2cf38, 0x5c216cb0, 0x7df1765a, 0x4a6009e8,
+    0xe77739ea, 0x65c1fe2a, 0x47b3316f, 0x8ddda299, 0xe2cd38af, 0xe32ed4d1, 0x1d284024, 0xb83f08d0,
+    0xf1f334ac, 0x17e1ddde, 0x99d90cf3, 0x27371626, 0x04d66a31, 0xd5886873, 0x90618417, 0x4ad3ba88,
+    0x67587d6e, 0x3cef96fb, 0x4a850bad, 0x94dbdad9, 0x4dc6208a, 0x7a6c48f5, 0xdb23e9c5, 0xd490be10,
+    0x0892a2a9, 0xab7337c7, 0x2bc44efa, 0xee81f8e1, 0x886e974d, 0x92f657a4, 0xe86344e5, 0xea06573f,
+    0x8bb37a22, 0xfc418fab, 0xbedef102, 0xffc3f658, 0x54b324a1, 0xa43a65a2, 0x28c3b635, 0x731ac273,
+    0x56c527e1, 0x9996dc5e, 0xf7fcc8a6, 0x54255cf8, 0x37c6b9b5, 0xc8fb6d51, 0xb19db87c, 0xe2acc027,
+    0xe18aad8c, 0x103172e8, 0xf0132b6f, 0x3571bc16, 0x45b549fa, 0xc5c5876d, 0x8d61e837, 0xdd6c77e5,
+    0xe6a70585, 0xca47fcff, 0x20968b4e, 0xf4446103, 0x5184bd69, 0x06e428d9, 0x00536ebc, 0xe69bdfbd,
+    0x8da2b193, 0x701eb1c1, 0xbe10edf0, 0x0b51a0d7, 0x61e0855a, 0x4bab9456, 0xbbd70d9d, 0xe52ca78f,
+    0xc0d448dd, 0x6f513a05, 0xf0d26959, 0xfdf24cea, 0xd1357f26, 0xe78313ce, 0xcf0b51af, 0x9cd6586d,
+    0x87a69841, 0xce7b1d18, 0x37cfb7b9, 0xae3e760f, 0x6c36bfc7, 0x4ac7e5db, 0xf8b785df, 0x4621a111,
+    0xc2c189ca, 0xa94ed3df, 0x24b3d37d, 0xeda644b7, 0xd0df20f6, 0x1ffda324, 0xe6a7c574, 0x2d915b81,
+    0x5a922ebf, 0x9caf21d2, 0xc3764427, 0x1cb8d3fe, 0xb8cac7c0, 0x64de33ee, 0xef1bd8ad, 0x92ac3240,
+    0x3b380ba5, 0xa2bb2c53, 0x01984699, 0x6ee08dd5, 0x9c8e5aa9, 0x877133d1, 0x234eb96e, 0xbd384172,
+    0x126fcef0, 0x511a424c, 0x4ef114b0, 0x504fd4d6, 0x0fe87dbb, 0xb38e90d1, 0xfa5c322e, 0x5bfe9785,
+    0x8bf65230, 0xba4f1efb, 0xcf83a39c, 0x3b784661, 0xd6a05735, 0x88b115e6, 0x34a9180e, 0xf280adbb,
+    0xae49f264, 0xeb09b4c3, 0x228b81b2, 0x2bf20273, 0xddebb13c, 0xbaec8984, 0x120746b3, 0xfe2c9022,
+    0x03815e6e, 0x3c7b39a2, 0xfacec717, 0x32153bec, 0xe70ab5c5, 0x59a6c51c, 0xfed9bab8, 0x42cfe002,
+    0xf474581a, 0x27c4d28e, 0xec1efde3, 0x8cb7ff42, 0xde7634cb, 0x473cb2f7, 0xa5b7e9fd, 0x34ed16b7,
+    0x75526d62, 0xb385bd09, 0x20c0e7ea, 0x60818a08, 0x2312ed3c, 0x91890727, 0xf99603e1, 0x575a42fe,
+    0xb4874de6, 0x88f1f968, 0xcf99aaa8, 0xb14854c0, 0xa49586b5, 0xbcbef8cb, 0x662a7926, 0x81e5f95d,
+    0x660b82c1, 0x734f6e79, 0xe139e558, 0xf03ce706, 0x0664cf88, 0xdf716bc9, 0xb34cc200, 0x798d9063,
+    0xe7e77bfd, 0x626a7064, 0x6ef10fec, 0xe7137e2e, 0x3aa62f3a, 0x812a6cb2, 0x0edf0c70, 0x5e541618,
+    0x9ead2695, 0xd18f802e, 0xfdf44e5e, 0xde1b9e4e, 0x01c8721c, 0x9f1395ac, 0xf7e8d8bc, 0x9d168749,
+    0x16230bb6, 0xeb2f6687, 0xfd0b665c, 0x02c32873, 0x63bf825d, 0xa234ea95, 0xdf2c65f8, 0x6e4a532a,
+    0x4785869e, 0x41249ca3, 0xa7b84aa6, 0xf8d8ff24, 0x60a170fd, 0x15556ad8, 0x922e03c9, 0x429e50ac,
+    0x00000000 }, /* 10**-00004091738259870177337516487121034498940270802557553830986854114210120167245\
+                          50584319360408761540738019643860835515945008876152157068235674131666065948672 */
+  { 0x00000000,
+    0x3ffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf461,
+    0xe98be66b, 0xc08588ab, 0x8317076d, 0x0552714b, 0xd0a7af28, 0x46dfea68, 0xd6acc03a, 0x74cac27e,
+    0x00000000,
+    0x928b5538, 0xaf686d2f, 0x36c289a7, 0x7a32fd92, 0x5f070d16, 0xb42bb616, 0x76d5414d, 0x4b059c3a,
+    0x6113f703, 0x45acc327, 0x2bf22218, 0xfd92590c, 0x896a3ca7, 0xe02f8b51, 0x0e2ed049, 0x6f0b3acb,
+    0x0a9455a9, 0x9d082091, 0xda611260, 0x3c43638f, 0x54b3f63d, 0x0291bb32, 0xb9be3836, 0x3f825eb2,
+    0x76c46014, 0xaec74a17, 0xaead5c9d, 0x9a856e8d, 0x8e6437dd, 0x1b55bd9f, 0x47215a69, 0xdaeabb46,
+    0xd91c8e90, 0xd94d0289, 0x66b920a8, 0x489d4bc2, 0xc7df1e66, 0x064a8ab4, 0x39ffae44, 0x438c0424,
+    0x318f84d1, 0xf7b823f0, 0xbf32f32e, 0x11964976, 0x01c0847c, 0x6a927430, 0xdeb90820, 0xd8fe237d,
+    0x0ed55f60, 0x2e119114, 0xaf81f0e2, 0x41f0fad0, 0xcfcc11ee, 0xeba21887, 0x8b5baf58, 0x46686bb2,
+    0xa62abb66, 0x50d367ea, 0xc7314780, 0x7b31d8c0, 0xde0d3afc, 0x28ab2907, 0x46ef9709, 0xb701802a,
+    0x8dbd1ef8, 0x18b9609d, 0x700058f9, 0xc048742c, 0x43b7c271, 0x14b650d2, 0x41da86ab, 0x5279ef4f,
+    0x4c6af9b4, 0xf8c42d80, 0xc9d16451, 0x51b13936, 0xe7004004, 0x96f32bf5, 0x6649cc40, 0xac4fe46b,
+    0x040522d1, 0x01fa90fa, 0xd6524dad, 0x79813ff4, 0x31951e29, 0x3fe47ce1, 0x2d0cb745, 0xb8d8b577,
+    0x8732cae3, 0x75b39062, 0xdc91bb7b, 0xe09b7bf8, 0x694ffa9d, 0xe2b4031d, 0xd3c6b79f, 0x99e23c91,
+    0xadba8104, 0xb3859dc1, 0x000a5611, 0xbd998ac0, 0x58d863f0, 0x56d52fb1, 0xcdb5b952, 0x0fc3a296,
+    0x3040830c, 0x915ef0ae, 0x1690bb56, 0xe564d5a4, 0xb7f4e03e, 0x57b38e51, 0x77b3879d, 0xf19f971a,
+    0x6b1794fb, 0x79a40c95, 0xea0020fc, 0xa4ce79de, 0x2dd8a6f3, 0xeb51d780, 0x78a95f10, 0x21c3469a,
+    0x813358ec, 0x6c7213e6, 0xa3f9028b, 0x8313b45e, 0x6bfc3f25, 0x6b7e2215, 0x806c2efc, 0x0b1cbbfb,
+    0x44c4be22, 0x868aad33, 0x484b919c, 0x94f8d1f3, 0x4a7ce8f8, 0x4aac7c42, 0x03571368, 0xfe98cf6f,
+    0xd29f98c5, 0x752bd14f, 0x2c4811fb, 0x19ae5333, 0x8e431eec, 0xee635ecb, 0x3cfe2f29, 0x568c86ba,
+    0x570c8070, 0x80cdc2d9, 0xbb2aea07, 0x4de7eed0, 0xda748a8b, 0xf27a4ba7, 0x14289bec, 0x81261bec,
+    0xe7b64ca8, 0x50ac35bf, 0x404b8f9a, 0x961599da, 0xebc99a78, 0x44d05ba2, 0xb857fd92, 0xafcfa929,
+    0x678a843a, 0x44163491, 0x3b6c8a29, 0x64644fd6, 0xd2cb36cb, 0x3bef2b8c, 0x2c6b6ba2, 0xb3924274,
+    0xf42492ae, 0x9c23b183, 0xd4e93b4d, 0x5583bbdc, 0x16a21073, 0x68ee0e85, 0x7f259ee1, 0x3707628e,
+    0x3519acc8, 0x20963dcf, 0x1662d4f2, 0x468ab921, 0xe56c2da0, 0x1e96d1bb, 0xf63c6fdc, 0xfe716578,
+    0xa806de22, 0x4806b2c0, 0xadd9c0c6, 0xdd8c5537, 0x8c5c21f5, 0xb4bfbc49, 0x5d02b75c, 0xddd4e9fb,
+    0x7ab723d7, 0x7b56227d, 0xb447da0c, 0xc5d6d166, 0x4364d48c, 0x4f93ecd9, 0x1db5e0b3, 0x272c1a53,
+    0x203ada72, 0xa564323e, 0x3627c354, 0x2cf126cb, 0xa4f0c9c0, 0xc441ad5d, 0xbf0772b9, 0x18e50448,
+    0x622ff9f1, 0xb72c46eb, 0xb2ce4fa1, 0xd9eba90f, 0x29dd5ab5, 0x194fe442, 0x7f37534f, 0x714f1c9e,
+    0xf7940bd2, 0xc075f6a1, 0x8e547a04, 0xd8b1f58d, 0x160e800b, 0xc6ae77f9, 0x6f449241, 0x01078967,
+    0xc0ea59a4, 0x0ef99fe7, 0xe730bd33, 0xb2563fa3, 0x5e58f667, 0x66b0fde5, 0xccd27601, 0x9390bb7d,
+    0x86448198, 0x09177257, 0xc817c7cd, 0x5a3ee9c5, 0xf25f5097, 0xb19b01e8, 0x2505e8c3, 0xc6c27de1,
+    0xdad99703, 0x93f2f9c5, 0x70de2614, 0x13e3507d, 0xc4085688, 0xe2355bad, 0xcdb01c51, 0x8d220143,
+    0x440e5212, 0x1a6f20c5, 0x564fa194, 0x3efbd1c3, 0xf169b6ef, 0xf9668a03, 0x5a9ad173, 0x5bf17423,
+    0x3fb5b1bc, 0x522f6202, 0xd01fc5be, 0x1fa6828d, 0x6fe31da7, 0xb47553d0, 0x8b627cec, 0x17e6eae4,
+    0xa692c2f2, 0x67866e70, 0xd04601c7, 0x33552a39, 0x859dade9, 0x2405d888, 0xe222d456, 0x220798b1,
+    0x587f66bd, 0xeddaba27, 0x8dcbfbc5, 0x4e1c17ba, 0x2fb0c5b8, 0xc3a5d176, 0x7a91820c, 0x40b23f1c,
+    0xd1c33253, 0xb8eeb811, 0x92f76dca, 0xc3072882, 0xeb7572fe, 0x1996c8ae, 0x6cb4814b, 0xfab14004,
+    0x684e30df, 0xc01364d5, 0x7c9333f3, 0xf70ea222, 0xdd72efc6, 0x38d0a646, 0x34060702, 0x75289aa6,
+    0xc5a32347, 0x9890613b, 0x4a03374a, 0x56ad3ea8, 0x90b39b59, 0xd2ef7d24, 0xc787ece8, 0x417eeb89,
+    0x8fbcf511, 0x1ea73265, 0x1ecf0892, 0x03e59f27, 0x52115240, 0x8def90e3, 0x816fe721, 0x2fdd8b69,
+    0xeea64b89, 0x1d8e480f, 0x1486c315, 0xe2349257, 0x2524f511, 0x16752334, 0x46946841, 0x074d3603,
+    0x905b7905, 0xafb2c5c4, 0x1aa0a21c, 0x23e5d231, 0x958becdb, 0x534b0020, 0xf85951a3, 0x79db54c9,
+    0x8f4c81f2, 0x8c827eb2, 0x841e24e6, 0x03593396, 0x2f30026e, 0xf122756b, 0x1ed796f8, 0xffe42168,
+    0x7a5488a6, 0x0e876505, 0x257f16cf, 0x58921af1, 0x172e38d8, 0x31a675c1, 0x96d6422b, 0xe86d5cc2,
+    0x36c4f4c1, 0xc792d027, 0xc797b396, 0xfa29697e, 0x227386f7, 0x7104fa2e, 0x2c51475e, 0x66a26add,
+    0xf819889e, 0x22530101, 0x678b2506, 0x11af7f86, 0xa13b0c81, 0x4545c84c, 0xe261f855, 0x5b718476,
+    0x5a7055b6, 0xce1e38b6, 0xf0711829, 0x34b7ab4f, 0x81adf277, 0x9abefbab, 0x7c9ff427, 0xa01f88f9,
+    0x3f93c314, 0xfc61755b, 0x759b1b7c, 0xefdaf402, 0xc020607f, 0xf1b2c514, 0xd6042eba, 0xc3dce7d8,
+    0x8fe5d550, 0x8492ec14, 0x76135411, 0xde454924, 0x6ce06e02, 0x2be80009, 0xa9fc04af, 0x0c6e9968,
+    0x018aaee5, 0xab4f46df, 0xbdee25a2, 0xa5e04d7e, 0x9bf3e823, 0xe9349d9b, 0x47b289a6, 0x7376d0cd,
+    0xd142ae25, 0x76618aaa, 0x58639336, 0x0502c01c, 0xf4b37ec4, 0x6b58d562, 0x0b400772, 0xf36d0132,
+    0xaadc8b19, 0xf26c300e, 0x6c409e37, 0xaa599dbb, 0x580f9a6f, 0xe74ffbd8, 0xe5f535bc, 0x4b4a420f,
+    0x495daf65, 0x39d34b42, 0x4fcf70b1, 0x20ffdbba, 0xfe8a8d58, 0x42c3b819, 0xa1f5554e, 0xc2e992b0,
+    0x8aea7de0, 0x5397c93a, 0x1938a091, 0x1167d7da, 0xa579a30c, 0xe5e8e910, 0x42b5e6d1, 0x44c836ad,
+    0xd3a43aae, 0x7ea11898, 0x999dc626, 0x9758e611, 0xf0808121, 0x8282182c, 0xe10fce75, 0x8580c8f7,
+    0xb9f9ee99, 0xac5a8664, 0x59f0ee82, 0xb2b35208, 0x2dae0d65, 0xde3ce7b5, 0xfb846b55, 0x52c2450d,
+    0x35d13334, 0xe8aa4728, 0xb91c5774, 0x158c811b, 0x53025a24, 0xea1b89dd, 0x61c90657, 0x303e5043,
+    0x93a45ce3, 0xae971f5c, 0x1dd66bd7, 0x602d0aaf, 0xcba2e854, 0x06486bd2, 0x341c8ecb, 0x9619b3e2,
+    0x3a91d53a, 0x543e3f8e, 0x6a01991c, 0x9fe9e786, 0x07e49d33, 0x7251d958, 0xa93b4b8c, 0x5af0728a,
+    0x9b8c0d26, 0x971c20b5, 0xdf5a0cef, 0x9a3720e8, 0x1c5b79ae, 0x13d89cec, 0x399076d3, 0x50848fa2,
+    0xf9dedf74, 0xf6a0b006, 0x6349a61d, 0x7bf0e8c5, 0xcc796bf7, 0x9da24252, 0x31ea581f, 0xaaec63cb,
+    0x61adb5ed, 0x82390008, 0xc0224f28, 0x8002eb70, 0xed07ed9e, 0x9f4af940, 0x60527606, 0xd27b4079,
+    0x5ef302d9, 0x05f78e6a, 0x68cb8b30, 0x63ebf74d, 0xbe88739f, 0x973210e8, 0x10a75725, 0x3e7f9d5b,
+    0x137c3123, 0xc0a617ff, 0x2c25faed, 0x3340ca91, 0x0675f56c, 0x0d10c16c, 0x65a2ef31, 0x5babbfe6,
+    0x449d2797, 0x1c7001a1, 0xa37c2e73, 0x5480275d, 0x08a2cd0b, 0x7915ff05, 0xc60e231c, 0x1ab1b205,
+    0x623b7179, 0x48966b68, 0xf39afe46, 0x639fedaf, 0xbf621812, 0x95578229, 0x6c82f9df, 0x1d7053c8,
+    0x8acc7ed5, 0xa45f0625, 0x74240356, 0xd0edc4d7, 0xefb893d0, 0x13689bae, 0x7d610038, 0xa50a55d3,
+    0x8e7634bd, 0x1212d7bd, 0xc7f00d8c, 0xf9f1eb79, 0xbf25dfc5, 0xd725e02e, 0x122bc87f, 0xfce9a04d,
+    0x85bceeb4, 0xe3e99134, 0xfc0a6f72, 0xb9f2fde4, 0x0f16f4ce, 0x2f39a35d, 0x6f0afa30, 0x477e61d8,
+    0x43d9ff67, 0xa5c409cf, 0x58380d85, 0x15a2773d, 0x4930404b, 0xeccc1da0, 0x66dc3776, 0xa5a58086,
+    0x16c5c0fa, 0xbb354d2a, 0x1b83472d, 0x9ae63145, 0xaf87e1af, 0xab83c4a0, 0x5d5f4ec9, 0x601b208f,
+    0x84741d15, 0x80a5fe72, 0x3fdb60a7, 0xe4e8013d, 0xc99136c3, 0x5fbf730c, 0x2343321c, 0x882cf2f4,
+    0xbbd1ea4a, 0x18fda229, 0x6607c5df, 0xecbff156, 0x1e1d65cf, 0xdd93170e, 0x68c4a017, 0x0fc4f630,
+    0xe4fc4617, 0x5c408544, 0xd774f099, 0x980aa3d1, 0x0a986f9b, 0xb8ae342b, 0xf24191ea, 0xb5e0b467,
+    0x06543c93, 0x565f5dad, 0x93647781, 0x245bd944, 0x935abbe1, 0xd117bcb6, 0x5c3bd412, 0x243b4158,
+    0x6a517165, 0xa97c72cd, 0xa3e3c883, 0x05582af1, 0xd67ff96e, 0xd83560f3, 0xfc2885fc, 0xcec4ed26,
+    0x9dc15760, 0xcb75b647, 0x30326ecd, 0xda5c2e9e, 0x24c5cd03, 0xe7ee3d87, 0x5414e956, 0xae13cacb,
+    0x40b69904, 0xeb24b5fe, 0x0abee76b, 0x31228e2c, 0x124c413c, 0xd91d9af0, 0x3b1e8d04, 0xeffd016c,
+    0xad8c7710, 0xec9f9249, 0x2f72d00f, 0xb3eca797, 0x9d0602d1, 0xbfee6888, 0x5a3e4ef8, 0xaf2f40dc,
+    0x731b55e3, 0xb9f84c4f, 0x774bb055, 0x68d14f43, 0xe1f31dcf, 0x9afd05b9, 0x29e9d993, 0x9a215898,
+    0x2379fedb, 0xade16692, 0xaf7858d8, 0xb498b13f, 0x5aff18c2, 0xc3c68726, 0xfb31c675, 0x026d44a4,
+    0x7dc7994c, 0xb1b0260b, 0xe30b8546, 0x59ab31df, 0xf13ccc91, 0xcc8bed34, 0x0e3b976d, 0xb13a2fdc,
+    0x31cf0561, 0xf1b14a70, 0x1df04b1c, 0xbde9908c, 0x215ad788, 0x5bdb962a, 0x6bcaa1b1, 0x28806d75,
+    0xee491725, 0x198c5efc, 0xeef64f89, 0x7a629335, 0xdaeeed90, 0x08d840db, 0xc6ed0d3f, 0xe39004c8,
+    0x085acf35, 0x55ee1a04, 0x1826533a, 0x46288316, 0xbcf18bc2, 0x84309442, 0xaa63d22a, 0x78b290b8,
+    0xb46b1c82, 0x37a32e93, 0xda33ffb7, 0x35d89a57, 0x2d840d89, 0xa7974b29, 0x70ee4362, 0xe79005b8,
+    0xc0715b8e, 0x9163766d, 0x31d80c79, 0x98231eae, 0x1cd418d9, 0xe5a4fd16, 0x70e524ac, 0xbcc7e9bf,
+    0xcd291663, 0xaeb3f407, 0x5d952fa9, 0xe4a9107a, 0x4be3d83b, 0xa4d3f84a, 0xb8d34be6, 0x341da99a,
+    0xd35eb591, 0xc9eaa60e, 0x86bb6aa3, 0x583872e0, 0x40b0b2ca, 0xe296471d, 0x803758de, 0x0960b0eb,
+    0xaedd2e99, 0xc70d38f1, 0x6492b9d6, 0x5ea458d9, 0xa61f4a12, 0xe32fb872, 0x2213e101, 0x540f7307,
+    0x1722773d, 0x7f65474a, 0xd17fc10e, 0x72001fa3, 0x7b04bf88, 0x8a190974, 0xc8c7c2e3, 0x7eae358b,
+    0xa34df73e, 0xa2e39b2f, 0xafc5bb16, 0x44081eaf, 0x7e39f533, 0xc8141472, 0x70c76fcb, 0x27475173,
+    0x1510ea08, 0xf3ce3e81, 0x5e0178e2, 0xd112531b, 0x4f9aa1fc, 0xf1467f70, 0xe38c736e, 0x0d784469,
+    0x8e33ea63, 0x0adea018, 0x0411f212, 0xdd2b68f6, 0xa36b4c62, 0x5bd45656, 0xc656b2b8, 0x3a4dfa86,
+    0x0dc5ddd4, 0x4ce5b7a5, 0xbb55c0c3, 0x6fea3a65, 0x7e2d6cbd, 0x9ce75a80, 0xcaa68d9b, 0xefab965a,
+    0x9d71410d, 0x6decb826, 0x20450cc1, 0x51d2e998, 0x81f468b2, 0xf52f16c0, 0xb88e489d, 0x65142fbd,
+    0x8a138bb0, 0x6b978ee9, 0xcaed3edc, 0x54a3c436, 0xb70eb143, 0xf607e82f, 0xd6a1768e, 0xf3883a81,
+    0x5116e76d, 0x0a6cee8e, 0xf78fa8d7, 0x8dac05b9, 0x756b57fb, 0xbad73f68, 0x5aeb0942, 0xf5737fce,
+    0x917a0349, 0x88c23ac2, 0xb7d306f2, 0xa0c08110, 0xe64a5adb, 0x01fb21f3, 0xe1fe9e92, 0xa479b186,
+    0xbbe11d04, 0x2a6106b1, 0xcc5d0194, 0x56d509ad, 0xe42b9463, 0x3134b600, 0xbfd4e8a0, 0xe2d39015,
+    0x2f684b95, 0xcbcca40b, 0xcc9914ba, 0x3c3fa58c, 0x15fd34cb, 0x26b23222, 0x47ba9b94, 0x0a7d2aa8,
+    0xdbe13ddb, 0x2b36dd61, 0xb0c7c8f4, 0xea7c5849, 0xe0655498, 0x6fa71b07, 0x2fdebe3a, 0xd153a58d,
+    0x00987470, 0x34d643e9, 0x679908fe, 0xebb4e6f3, 0xc31f801f, 0x935d7ccc, 0x0e9721ac, 0x73504749,
+    0x1a179452, 0xf064ddd7, 0x148e42c0, 0x9cc12aab, 0xab5ae2e2, 0x0ef20083, 0xbcfc9707, 0x97c2d03c,
+    0x98303c6d, 0x7f6383c1, 0xab129e0b, 0x01051417, 0xc5d3538f, 0x70561af9, 0x40d66988, 0x08cd11dc,
+    0xf053b24e, 0xefcf4b9f, 0xf4c3fa66, 0x40da5efb, 0x41a95a63, 0xcc4c1a2f, 0xef1dd3ec, 0xf88b9073,
+    0xf26e6c9d, 0x7773604d, 0x9aaa8ff6, 0x0083fd31, 0x0a698deb, 0x2b0c5bda, 0xa4026c08, 0x9d67703c,
+    0x51a9b686, 0x3a58cbcc, 0x48a2401d, 0x8073646c, 0xdb76227f, 0xe1e0529c, 0xcef34bbf, 0x4d95cc37,
+    0xd0281521, 0xc951d1c7, 0x25f0e0b8, 0x65eccff9, 0xe10dcb63, 0xcada0eec, 0x7ffa13de, 0x7bf9c266,
+    0x266eb897, 0x5f584192, 0x0e65d036, 0x283bc4e9, 0x3050958d, 0xee1af0fd, 0x4f1adfec, 0xffc54ece,
+    0x12592f25, 0x94be9440, 0x39dfdf56, 0x386c827b, 0x3a15d153, 0x3ef1a897, 0xc29ab201, 0x5b12b4e4,
+    0x9485cb63, 0xd52c5a8f, 0x85a69039, 0xe2b81766, 0x1870b02d, 0x9d3e0b2a, 0x10cabd0a, 0x4f8a0081,
+    0xecb75290, 0xa17cf90f, 0x21696322, 0x91c83169, 0x104a3152, 0x367b49e9, 0x76cfaeec, 0x99eade7e,
+    0x8ba3538e, 0x819bea98, 0x526fe2d7, 0x03357106, 0x06ab8b67, 0x2d894ca4, 0xfc997aad, 0xf5d9e97c,
+    0x07981326, 0x3b05ab00, 0x428121c4, 0x69eefe6c, 0x39149992, 0xd4ad569c, 0xc76879eb, 0x8a4ece60,
+    0x24d62ffe, 0x3edd2cd8, 0x009b36b3, 0x29f8deb7, 0xe0dad6d2, 0x2c28a79e, 0x7f639b7d, 0x8fbecf08,
+    0xf811c51e, 0xa7989b97, 0x452252c2, 0xcd16b394, 0xf6903aed, 0xf84bbe59, 0x92a93da9, 0x2649a9ea,
+    0x51a28dca, 0x68186bb4, 0x552b6d24, 0x8ee82614, 0xabf9c31e, 0x446bedc0, 0x311e3805, 0x14b4485d,
+    0xb47c0f8e, 0x4bb12a5b, 0xf7a49bfb, 0x4fec8d79, 0xe14c77c7, 0x0ad57860, 0xc8ea2ad3, 0xe89d746b,
+    0x90599bd4, 0xaaa9cf23, 0xe5d8d2be, 0xc27ad3b7, 0x8286b079, 0xfa364bf8, 0x26feff5c, 0x9e7500d3,
+    0xb653b24b, 0x74538aa3, 0x80286e75, 0xc1c62855, 0x6ffa82e4, 0x39b1bcf7, 0x24c1ba77, 0xd6b7e2b2,
+    0xc430436c, 0x691b4d2d, 0xf52928b7, 0x2639ffac, 0x949080ec, 0x328448e3, 0x2683bc28, 0xe78fb7cd,
+    0x3636b5d0, 0xd3b42729, 0x039ff1a3, 0xc53025a5, 0x86d9f2f5, 0xbbd1463a, 0x1ccb9136, 0x1bd054cf,
+    0xb07fa87f, 0x2eacc0b3, 0x7220869a, 0xfcbc1351, 0xea0425e6, 0xda1bed58, 0x04f27e52, 0xc8e909d4,
+    0x833b8220, 0xd061bc3e, 0xfb487140, 0xc3ca2af9, 0xb6c03b74, 0xe69b5058, 0x2b08514c, 0xc25c686a,
+    0xc67d88b6, 0x20e2c8c5, 0x11e2f1e8, 0x289f9eed, 0x9cb628c5, 0x8a1a2335, 0x6582a098, 0xc77e18f9,
+    0x81282a73, 0x702bf383, 0x8415e702, 0xd64ed341, 0xa7609b43, 0xc7d278fb, 0x8a48ad76, 0x6591c335,
+    0x00000000 }, /* 10**-00002045869129935088668758243560517249470135401278776915493427057105060083622\
+                          75292159680204380770369009821930417757972504438076078534117837065833032974336 */
+  { 0x00000000,
+    0x3ffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa30,
+    0xf4c5f335, 0xe042c455, 0xc18b83b6, 0x82a938a5, 0xe853d794, 0x236ff534, 0x6b56601d, 0x3a65613e,
+    0x00000000,
+    0xc1b05217, 0xae1bc130, 0x72b93c70, 0x06c3a0fc, 0xa0dc9fe7, 0xcfa3e5d4, 0xe64433b4, 0x677d71cd,
+    0x924887a3, 0xcd85a9a1, 0xd496b6dd, 0x2f6f8f50, 0x9e2be626, 0xd340af10, 0xedb0edc2, 0x4bf9f5b8,
+    0xbdac44da, 0x4a98e6cb, 0x5d8ad089, 0x7dd0defd, 0x6fdcc202, 0x17c1a259, 0xf9f3d92b, 0x1aeb5eff,
+    0xd07f1c6f, 0xc7e99a2e, 0xbcdf4974, 0x7bf85680, 0x85de1c77, 0xa82624fe, 0xf9b9ec79, 0x8c04368b,
+    0x2eeff367, 0x88625518, 0x83241842, 0x4aff8a9d, 0xf8a01381, 0x4b0d1f7c, 0x094d0190, 0x6bda2e48,
+    0xc5e0c24b, 0xebb4aa93, 0x0ec35723, 0x522549a3, 0xfbe85263, 0x9cb3ecff, 0x574dddc8, 0x4dce4477,
+    0x50aaf69e, 0xa1509a98, 0x23186a36, 0xf531f4d8, 0x0e5a52a3, 0xdc6f8c20, 0x480e12db, 0x78ad8a5a,
+    0x605cf4f8, 0x1a5c2a69, 0x150ffa67, 0xf039bdb6, 0x6bb29461, 0x61c6a91c, 0xd3075ea2, 0xee62043b,
+    0xf2a06f6e, 0xc73cab52, 0x13a288cf, 0x5d080667, 0xe4ffa294, 0x186f2348, 0x994efa96, 0x5ea7e916,
+    0xe657c4af, 0x945c80df, 0x52b42189, 0xd8268e2d, 0x33cae25a, 0xf5d2917f, 0xca4b297e, 0x9459ff11,
+    0x510432aa, 0xf43ab73d, 0xdbe702a4, 0xb5677b05, 0x78712ab0, 0x3e3ca7e3, 0x49c2096a, 0xd9b394a2,
+    0x6633beef, 0x94da64b3, 0xc24fb962, 0x397819d0, 0xc25c02a6, 0xc458c2c1, 0x326a34f0, 0x13e866fb,
+    0x63acede5, 0x189ada2b, 0xf0d7e385, 0xb2c3bc22, 0x5d75b1a8, 0x010dcc87, 0xd73fce72, 0xf912e40c,
+    0x1217a24a, 0xaac18cba, 0x3c2f3a9b, 0x96e9bf79, 0xe477049f, 0x3452c095, 0x0144c3e7, 0x03e7da46,
+    0x306c744b, 0x3710c3b8, 0xf4a9fdec, 0x8a7be522, 0x850b0fae, 0x0dddd20f, 0x3f7f8b82, 0xbe714c87,
+    0xbaeb459f, 0xc9dad68c, 0xff13d0c8, 0x6f20b375, 0x2e31e77a, 0xe80d4246, 0x3064fa33, 0xa5b5607f,
+    0x770936ea, 0x2b6751c0, 0xa5b473ae, 0xbeede671, 0x5295e16b, 0x21939942, 0x17576734, 0x8ccf8e5c,
+    0x898223b4, 0x0cc3a7d3, 0x292e8509, 0xafc4191d, 0x344db67e, 0x3cdc65fe, 0x8335122b, 0x6bb08e7f,
+    0xa99f6043, 0xd995213f, 0x0f023b6d, 0x55166553, 0x8cf81816, 0xa9433362, 0x3daf27fc, 0x7a17a7bf,
+    0xdf535d25, 0x06fe1321, 0x026bc75e, 0x137059db, 0xef7bae1d, 0x77e87235, 0x8096315e, 0xd536c584,
+    0x3ba34d04, 0x57ffa4b7, 0x1cceac62, 0xfe5e6fd6, 0x291be4ef, 0x14f222d9, 0x8b412c26, 0x55175901,
+    0x2f1569f4, 0xd6de6443, 0x49839155, 0x32659ebf, 0x9e2226b3, 0xf07b7237, 0x6db9e9e1, 0x46473a7b,
+    0x263e50e9, 0xd33c9861, 0x3c46f4d6, 0x94899f89, 0xa42344e3, 0xac9e7700, 0xd2fc106a, 0xc2a65a1c,
+    0x51b6c999, 0xee46a99a, 0x4bf2d183, 0xdbb767de, 0x9fb6e936, 0xe0f98b31, 0xae5975e5, 0x839cac5e,
+    0x28e88cf2, 0x0bc803f8, 0x820b6ead, 0xfcf542b2, 0xc406ed37, 0x7c33f4ea, 0x62554ac6, 0xc6cde405,
+    0xd58ad323, 0xa778845d, 0x95882ce9, 0xb8969dd5, 0x69688e7e, 0xee6e5191, 0xfb62d27f, 0x47e2cbb3,
+    0xd2760f74, 0xa5f9d369, 0xef3eb02b, 0x2ee212ee, 0xb9fde077, 0x0bd9c36f, 0x93741145, 0x6e24ac18,
+    0xee5ccde6, 0xd0e61360, 0x446ee328, 0xcea0b308, 0x57e4b118, 0xe773cbc3, 0xde12e262, 0x993078dd,
+    0xa4383e32, 0x1eeeb69e, 0xce67fd88, 0xab6d464a, 0xa5adf838, 0x88fc4c21, 0x9a9aefed, 0xbee851a4,
+    0x329c0953, 0x2c171840, 0x8ff0401b, 0x3fe7056b, 0xc35e9770, 0xe6bbed40, 0x3bd9bbdd, 0x9bcfcba2,
+    0xcd63cfc7, 0x2d175fc2, 0xa8682b31, 0x4af710c0, 0xbf47efb2, 0x8eb482ef, 0x5163145a, 0x0c663a75,
+    0x0cc79bee, 0xdcf85594, 0xaacb8706, 0xd7c673e4, 0xb7db2f6b, 0x0c756729, 0x4ade27a6, 0xbda6ca9d,
+    0x8d115e39, 0xa4239ae0, 0x079d0162, 0xe72e6648, 0x06566149, 0x297da6d7, 0xc7fc084c, 0xcff477fe,
+    0xeb96cdb4, 0x19cffb1d, 0x85799458, 0xa723742c, 0xa30cab18, 0x7d74a353, 0x6ea8dfb0, 0x7e07d3ba,
+    0x44e96e31, 0xaee62248, 0xe95897cd, 0xd4858bb8, 0x066c5e9a, 0x90816f58, 0x1f228e3e, 0xb29a0ed2,
+    0x0150179c, 0x9803c0bf, 0x347c8250, 0xdc894a74, 0x072018a3, 0x4b206921, 0x964a511b, 0xc0bca05c,
+    0xf37b194c, 0xa4d1d413, 0x9174fd8d, 0x64d5c439, 0xd1ccde93, 0x4cb71a7e, 0xda4c37a4, 0x3f64934e,
+    0x4232e133, 0x2b2e0e0a, 0x99e3ec72, 0xd13fadaf, 0x2b37caac, 0x4d86cef5, 0x75eb152e, 0x598e960a,
+    0xc3b3149d, 0x471968cd, 0x082fbe9c, 0x924b12ea, 0x256ddbdf, 0x568cc563, 0x455e171a, 0x35575c26,
+    0x62a89dc2, 0xc8eeb0ee, 0xf9eb0aeb, 0x3aa33336, 0x02d4cf54, 0x1be8500b, 0xc492a323, 0xcedd771a,
+    0xc4adfd70, 0xfc3ee284, 0xffa46e8c, 0xfcddb4c5, 0x10842951, 0xd02d0e11, 0xe4b7a185, 0x6c94a57c,
+    0x92016d82, 0x0203aee5, 0x72d9e6a0, 0x2a169ed4, 0x010eec50, 0x5e7d0a95, 0x7cdf6a2d, 0x626db0e9,
+    0xb25d3c34, 0x0ee3eacb, 0xb0934d51, 0x64045674, 0x2b295f96, 0x4fcb732e, 0x07a29559, 0xc1cdecfc,
+    0x56bf2126, 0x1318e0e2, 0x6207b776, 0x47f14172, 0x4f4d7df8, 0x632668fb, 0x6303c277, 0x0eb6b55e,
+    0x8bc00e25, 0xce9c14cd, 0xaca77595, 0x2e0aadba, 0x0812cd1c, 0x9aba9256, 0xd0ca5ef1, 0x9b73fa4c,
+    0x1a69daaa, 0xa6df58e8, 0xaf6126c9, 0x92154822, 0x04d5ec3e, 0x31e5eb41, 0x0c565907, 0x1162e4e6,
+    0xe98ff700, 0xe9ac7bb7, 0x98719190, 0xef191705, 0xfc4eb9b5, 0xda254403, 0x39e46288, 0x68559898,
+    0xef9996b2, 0xf15fc815, 0xc1cf8a5f, 0x0d418fba, 0x0eac713c, 0x05c69ad2, 0x907b6dc3, 0x3e41d48e,
+    0x9b88c673, 0x5ece9a26, 0x1e1b671e, 0xb3bd0734, 0x923f7db4, 0x3b629b65, 0xc7e6c15b, 0x82b7d2ee,
+    0x4f894599, 0x9a1414c8, 0x8aa9952a, 0xec0d9444, 0xb282a797, 0x33b8bfaf, 0x7c3c6388, 0xecfd3773,
+    0xf9fc0d11, 0x3b947330, 0xa6bb175f, 0x10f200cb, 0x9c2067b8, 0xa89596bb, 0xca8fdbaf, 0xc5a701e2,
+    0x1fba6436, 0x8ee1cec8, 0x0feae491, 0xe9d6b444, 0x6b302a1b, 0xa7e38788, 0xe4037b39, 0x9431ae14,
+    0x3aeae503, 0xebe4264e, 0xa56c6e95, 0x72da823b, 0x1839991e, 0x9cf42c83, 0x231c6cd0, 0xc4bc6684,
+    0x0bb3911b, 0xf97ed8d5, 0xd6d57a4a, 0x0b66dbe0, 0xf093b320, 0xc626a805, 0xa6eced87, 0x25aac460,
+    0x95ca801b, 0xb7aef3a5, 0x896e6c6c, 0xf9836791, 0x5327caf1, 0xb9abfd3a, 0x8598fa5a, 0xfc88cd82,
+    0x1a1b80d3, 0xe3125952, 0x613c63eb, 0xe572c0b3, 0x056b2401, 0x0cfe3a82, 0xebd7d43b, 0x9c718e90,
+    0xce2e7d93, 0x9ad19ffe, 0xf8d5e5fd, 0xd7afd99c, 0x9b751d05, 0xb428e5f2, 0xbce5e044, 0x0d03be8b,
+    0xc02bf456, 0xefea5fff, 0x30945f5a, 0xa2416162, 0x9b03512d, 0x8b6805e3, 0xbb0c3260, 0xf4a7f773,
+    0x2eb1a2f4, 0xecceb3f3, 0xda604143, 0x7ad6c66a, 0x0c092778, 0x8298a1b0, 0x4c9f65bf, 0x91a45222,
+    0xcc3a41f9, 0x159b3e2a, 0xafbe109e, 0x07cd9c17, 0x03feef90, 0x05134da2, 0x2ec1983a, 0x5399791d,
+    0x5940b458, 0x280410e3, 0x3e4c1504, 0xab6a9d00, 0xe29480f2, 0xfc877f4a, 0xa2e62fad, 0x4b15fa1f,
+    0x83f2a1a5, 0xf68cba79, 0x85955843, 0xf0114b30, 0x616bd704, 0x25d3c397, 0x52914651, 0x399a7bd2,
+    0x6d1a8066, 0x4760ced0, 0x61f8af95, 0x3485c41c, 0x0b4ea9b9, 0x92167937, 0xa353eb3c, 0x40813cc6,
+    0xbcd500ca, 0x0470da0c, 0x9d9aa03c, 0x5e53e398, 0x7d02d327, 0x12748f5d, 0x0df28c19, 0x579d1e04,
+    0x3b69223d, 0x1accb009, 0xb01871bc, 0xa29fc6f1, 0xb86f61b7, 0x2048a5a5, 0x14e064cc, 0x8231ef05,
+    0x5cabf894, 0xea0d3283, 0xb29a6c66, 0xf19329e7, 0x850e3ebe, 0x728bba39, 0x9ebe2508, 0xfab3dfe9,
+    0xb64d336e, 0xd2de136a, 0x8f462a24, 0xe0c3a000, 0x7b27f3c4, 0xa7e14559, 0x580869ca, 0x7a3c0f7b,
+    0x92e06593, 0xdfccccd8, 0x853d938c, 0xf8a91b6c, 0x298b4cfd, 0xdb7c60c4, 0xbbfc8035, 0xae0524c9,
+    0x68c9eacf, 0x09d60ead, 0x10e3eab3, 0x9faf111c, 0xbe922606, 0xad14d096, 0x42385e46, 0x0e25ee5f,
+    0xe1c74aec, 0xd7f23704, 0xde9ef26c, 0x503353a0, 0x14d7f0ea, 0x8cf8ab22, 0xe61c0470, 0x6071162d,
+    0xa69f4863, 0x5f881531, 0x98e8ef86, 0xec5c0788, 0xbc9f1742, 0x36ff680b, 0x8feb7a4d, 0x826a233d,
+    0x4ed0b84b, 0x9a19a0ab, 0x4e3add1d, 0x509e476b, 0x89e39377, 0xaaf258f7, 0x1ad55e81, 0xbee59059,
+    0x7b67b421, 0x0fd585ce, 0x8631afe7, 0xa8386673, 0xd2189bf0, 0xcf77e2db, 0xb7c1fbd4, 0xdf34bd9f,
+    0xac1b9794, 0xe64b30c4, 0xfcf922d9, 0xd826ad81, 0xdf874dec, 0xdc01dfcc, 0x4dd580d6, 0x0f2b27cc,
+    0x4533585b, 0x3dac55e1, 0x70bf443b, 0xc0097740, 0x3026ab17, 0x5aff1122, 0xa4910573, 0x0aad8112,
+    0x5b4c429c, 0xc91939e8, 0x1552a3c4, 0x8477a37d, 0xbd03c022, 0x7df7d2ff, 0x254b4f68, 0xc1018c23,
+    0x1dec850a, 0x7eb20228, 0x3135bfde, 0x28d4e2a1, 0x359efb25, 0xc5795144, 0x39d4b1d3, 0xc38c1d30,
+    0x32b0a8ec, 0x9bab119d, 0xf9eda0a6, 0x50be3ef0, 0x7cc515de, 0x42fbc51a, 0xdc0967c6, 0x0720bbf3,
+    0x284765eb, 0xebd270d1, 0x05910fcc, 0xc62355f9, 0xdfac057f, 0x136f7951, 0xac3661a3, 0x646fa0af,
+    0x0ebb363c, 0x4d4c49f1, 0x0e1c5b05, 0xdeba7137, 0x0dc6a09a, 0xee6f1c56, 0x10e6d0b6, 0x07cc04b1,
+    0xb090eb68, 0x66495f3b, 0xee878e09, 0x08dc1915, 0x7e0b7e6e, 0x2da2c84f, 0x7e38a949, 0x66b6e08f,
+    0x72cede4e, 0x132a0fe4, 0x83d98d4c, 0x90d01c13, 0x06655ab4, 0x09e62861, 0xbe21b0bb, 0x069ad888,
+    0xcca0acc7, 0x19825f5d, 0x9e99b83d, 0xe53337d1, 0xa9c438a2, 0x5c32ce7f, 0x8aa9756b, 0x7a7c03e8,
+    0x8a52fe5c, 0x612ea359, 0x0299bb85, 0x2d1bd541, 0xde14d2d9, 0xc69faa8f, 0x78819f8c, 0xa53059e3,
+    0xf1665ff8, 0xb41f3a6c, 0x4b9ee3e9, 0x0decd915, 0x77d1c499, 0x74ec9e37, 0xd44aa7c2, 0xff480422,
+    0x0c6b0c54, 0x85e0b4b2, 0x252e5077, 0x5a666427, 0x25adec77, 0x24143bd8, 0x00362ac1, 0x445ebb5a,
+    0x20e5d03f, 0xac188d39, 0x19cf1e3f, 0xdaa668dd, 0x8d2f3ac6, 0x88229921, 0xf006f088, 0xa75424db,
+    0x6b944678, 0x0eed075e, 0x4cb71340, 0x2fc0b898, 0xd9820cc9, 0xf84caaf0, 0x50764043, 0x32edce74,
+    0x4ae1ab9e, 0x331c3590, 0x0d2bcd10, 0x896c7930, 0x89c568d5, 0x954258d2, 0xf6e1336c, 0xdbf9c6f5,
+    0x4c29bb16, 0x0e3e5298, 0xb14d1024, 0xb18050a4, 0xf36aafc8, 0xbc1f85a0, 0x65f201e8, 0xe9eb81fc,
+    0x62b37641, 0xdee86c76, 0x9d6535ed, 0x160a2db2, 0x5f0bb832, 0xa4453b80, 0x659aa0a3, 0x031d3b6e,
+    0xa00c61a5, 0xff7fb06c, 0x2a35db04, 0x39eb7005, 0x8c9d5284, 0x71589366, 0x5b337b69, 0xa7206811,
+    0x649bbd29, 0x27069c05, 0xa3b81454, 0x58942360, 0x0a963aea, 0xda0af643, 0xe83c9743, 0x79ef9e02,
+    0x56dc06e2, 0x4f2624a9, 0x8f18f7b9, 0xb7e1c3e2, 0x88450281, 0xbe740605, 0xf7d450b0, 0xe971eee6,
+    0x6ee47161, 0xd45cac0d, 0xcc73ebdc, 0xb4f952bd, 0x7d56e244, 0x5e4dfb2c, 0xa796a5f6, 0xaafd137a,
+    0x17587d32, 0x913d2338, 0x0bba8c9b, 0xb66b252c, 0xd2bf3035, 0x1ca38131, 0x3d93b540, 0x0767bf30,
+    0xaa09a6fd, 0x269ac454, 0x1432b05c, 0x6a3d75da, 0xa9617f2f, 0x9fe8a689, 0x1bfb37b3, 0x2d4e2748,
+    0x64c165fa, 0x9490953b, 0x0313b40a, 0x10ea0c79, 0x5b1d7741, 0x93238b87, 0x034ec31b, 0xcfd1360d,
+    0x7cb2ffe3, 0xdcf517fa, 0xf3fd52d4, 0x306ba3f7, 0x4f75dc30, 0x90b7972a, 0xf52effe7, 0xa588a07a,
+    0x43dd7d1c, 0x4d0ffe6f, 0xd2331b47, 0xdb74aad0, 0x3c91e8fa, 0x430ec45b, 0x57a61aee, 0x52d6bea7,
+    0xdc7f9ea6, 0x340bd97f, 0x28373561, 0x84f53bf8, 0x1c9d5e38, 0xe6e77654, 0x7abc8ca8, 0xb7cee5da,
+    0x4d375ee3, 0x4eb74b29, 0x36a8c580, 0xa374ab00, 0x0c9eff89, 0x4d4de4b8, 0x75eae011, 0x11363056,
+    0xde7fd95c, 0xfd9642e2, 0x56db0d77, 0x7f510b17, 0xa3a6a00a, 0x39839689, 0xe5c0a52b, 0xd857918c,
+    0xbe352638, 0xd2f5f0dd, 0x6585de95, 0x2b82a875, 0xaadb068b, 0x5366902f, 0xd3bdc1cc, 0x455e0315,
+    0xeeeeebd6, 0x1289436c, 0x785dd575, 0xa8120686, 0x520bcdc2, 0x5c3652db, 0xc2375ab0, 0xd992240d,
+    0x6748aa34, 0xfd2e06d7, 0xebeaa3eb, 0x212e918c, 0x7be65638, 0x8ad7b81e, 0xf0e87690, 0x189186fc,
+    0x0e9419ac, 0xcb43362e, 0xe3879bfb, 0x60cb1f93, 0xdb3922c9, 0x731ec911, 0x350b1eee, 0xec6a2233,
+    0xad184aab, 0xa9476acb, 0x2378422b, 0xa77980ef, 0xe9550657, 0xe1a503a4, 0x2581b6fd, 0x854824d0,
+    0x8329cf0e, 0xa4efc728, 0xa7a480d3, 0x23ebc415, 0x99a7f802, 0xbd928bbf, 0x7c6a4e6e, 0xc20dafce,
+    0x603f2e52, 0xe744d35e, 0x6aa48cec, 0xe4a9e1aa, 0x1eac6145, 0x3a8dba24, 0xee199e88, 0xa883e9d8,
+    0x708e8563, 0x8397407d, 0x577e64c4, 0xb8a1d58b, 0xb54ceca9, 0x7d283321, 0xcaba992a, 0xff853856,
+    0xb7a25e68, 0x43dbac0b, 0x7683bafa, 0xc624865c, 0xaf30cc2f, 0xf9a6f4a5, 0xa6bc6eac, 0x3722d073,
+    0x832dd9fa, 0xfcd6e85e, 0x4fd7ff19, 0x105dd968, 0x9b0fca15, 0x2361e6ed, 0x14a2e6dd, 0x7e0a9001,
+    0x3a58abf5, 0x736d77c8, 0x62e015cc, 0xce8cef95, 0x7823b366, 0x277d10b8, 0x818e5776, 0xd5182b2b,
+    0x41a8c86d, 0x3338e156, 0x6f7b9b4a, 0x74ac79e0, 0xf45ee84c, 0x3cdda30e, 0xc59054d6, 0xa1cbbc73,
+    0x9a893b8d, 0xe8704ac9, 0x992d8454, 0x82b305c3, 0x835c4501, 0x911791db, 0x90ed6cbd, 0x691aa878,
+    0x38892a2c, 0xd36e416d, 0x8551eac4, 0x7a1ef8c7, 0xccf5663b, 0x616d8f01, 0xa8803b79, 0x54fe4517,
+    0x88c0308e, 0x6d7a2f63, 0x14aa756d, 0x41a4759f, 0xf901962a, 0x3033c102, 0x530cd5ef, 0xd14dfb13,
+    0xb269aef7, 0x11fb7f2a, 0xbc374184, 0xe8d9d7c1, 0xa2a57824, 0x3147dbd4, 0x3a599a98, 0x56832a98,
+    0xa42085fc, 0xeb91845a, 0x9b2d163b, 0x2773007b, 0x48baa68a, 0x457aae6f, 0x4511d78b, 0xf4d286e3,
+    0x2eab14bf, 0xe361bff1, 0xdda0ee14, 0x0ad33ff3, 0x384576c2, 0xb18e41f3, 0xbfe909f2, 0x4de23be4,
+    0xc9f05277, 0x418ba8de, 0x7667c852, 0x4edd1f11, 0x2d2eb072, 0x11b9d4e3, 0x85f51b70, 0xc336d05c,
+    0x35bca08a, 0x18db7e77, 0x56cd7481, 0xd7558588, 0xd7518347, 0x022012e7, 0x92893a5b, 0x233ccc60,
+    0xf690758a, 0xf83c2762, 0x2d7c70c6, 0xa044d1f0, 0x42c2f66c, 0x47d158b3, 0x4ef6b7ae, 0x026e6d62,
+    0x35773494, 0x116ae11c, 0x02fad89e, 0xb4b8e42c, 0xebe4605b, 0xc9d43558, 0x5938bf63, 0xc465c4a9,
+    0xeb201042, 0x5881f823, 0x475fbbb5, 0xfd854ec9, 0x5859fdb4, 0xba86c637, 0xed7009f3, 0x9d6358e0,
+    0x00000000 }, /* 10**-00001022934564967544334379121780258624735067700639388457746713528552530041811\
+                          37646079840102190385184504910965208878986252219038039267058918532916516487168 */
+  { 0x00000000,
+    0x3fff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d18,
+    0x7a62f99a, 0xf021622a, 0xe0c5c1db, 0x41549c52, 0xf429ebca, 0x11b7fa9a, 0x35ab300e, 0x9d32b09e,
+    0x00000000,
+    0xdeace516, 0x82cc84d4, 0xf068f5d8, 0xfbe140c9, 0xae634ae5, 0xc10174af, 0x87550a88, 0xaab7eb9c,
+    0x98e060c2, 0x22233f0f, 0x84106273, 0x89db8029, 0x20220194, 0xd60d0e61, 0x9e7882ef, 0x04895063,
+    0x381687f7, 0x2298a543, 0x5b4f7650, 0x87ad66f3, 0x9baf2843, 0xca67c1a5, 0x9cc27fd6, 0x4f2343d4,
+    0x490d6477, 0x96b7579b, 0x1198484e, 0x3e1d4c4d, 0xb78f25c9, 0x60cdd329, 0x91a7d81c, 0x4f867cc0,
+    0x765dbf34, 0xb853558a, 0xed5566fa, 0x06663d0e, 0xb6c9ae99, 0xc42ab094, 0x7732d51b, 0xb36a2ce2,
+    0x764af95c, 0xc1e98684, 0x513ecf34, 0x7881ab6f, 0x4612a295, 0x45fc441c, 0x1d275edb, 0xb34c0bab,
+    0xcf0843b9, 0xef1948bc, 0x08f5acd6, 0x48302222, 0x6cca23d9, 0x70bf103d, 0x4b00d3fc, 0x3b703578,
+    0x58b46f25, 0x5cfd4ab5, 0x0a29d15b, 0x46c05452, 0xffb46192, 0x789ea5ae, 0xf876ba04, 0xda039277,
+    0x858d3b4f, 0xe02f4f0c, 0x941449e7, 0xc92347df, 0x3f591b6c, 0x8bb9f1a6, 0x3174f22e, 0xc9eeb471,
+    0x38a6548a, 0x7a28b8bb, 0xbaeb70af, 0x2eaa84b8, 0x553e3a01, 0x6db49b57, 0x37c31fe2, 0x7ac4bc5c,
+    0x977e33b5, 0x544fb3e2, 0x6a88b61b, 0x75ceef31, 0xcf0a858b, 0x3aa518c5, 0x159fb356, 0x4b63549c,
+    0x4fe9bbf3, 0x593577bc, 0x763b9db3, 0xde816fd6, 0xdb1304af, 0x1bbe3225, 0x34b3eab8, 0x8f69ec76,
+    0xae511941, 0x20758cda, 0x365a5b0a, 0xfd44b2bd, 0x244ef665, 0xb32499e7, 0x0fdb4f84, 0x4537d0b9,
+    0x3272787d, 0xe07f2ef2, 0x047b08ee, 0x00630c36, 0xbf98da24, 0x4dc8e400, 0xad529918, 0x2cf21ab5,
+    0x2dc59d1e, 0x4f310cf3, 0x76e871f9, 0x82a32ed4, 0xc6fce8b1, 0xc2be2c57, 0x6f553630, 0x74a5c6bd,
+    0x9dd928aa, 0x182c7636, 0x1b95286b, 0x9bce04c8, 0xf1f9f7a3, 0xeb33749d, 0xa561c545, 0xe9c8b96a,
+    0xd4397955, 0x67618805, 0x6ad9b296, 0xb21a09c1, 0xc32b706e, 0xbc441eb8, 0xab290777, 0xeea731e3,
+    0x90fc3f6d, 0x2e25a1ea, 0xa13210ef, 0xa0aeb8b0, 0x008d48cc, 0x72e0a61d, 0x14c8aa4f, 0x61203242,
+    0x0985c1e5, 0xb67ea498, 0x2b0f9542, 0xf395fb4d, 0x987cd4d9, 0xfecedcfe, 0x6f9d72ee, 0x8a360943,
+    0xe02ce14e, 0x5d672e28, 0x870f9b8d, 0x4cfda5f7, 0x67bce02f, 0x4b4ae972, 0x098dead6, 0x8e272112,
+    0x95ec0c6a, 0x99c75258, 0x4d61f8d2, 0x90ff5acc, 0x3ca7e14d, 0xeb257fd8, 0x532df4f6, 0xdbc1351d,
+    0xe51c52cc, 0xd4449f1a, 0xd78e9d22, 0x9e2bdac0, 0x892cf63a, 0x837535e1, 0x7811f345, 0x5004e512,
+    0xb3d807ca, 0xc6044e75, 0x05f85a61, 0x18cc0d83, 0x9430a8ac, 0x2a57c9d2, 0xd039bd80, 0xa351e7c6,
+    0x2f671dc5, 0x5352da4e, 0xc78581b5, 0x4cb88056, 0x67a4cba9, 0x5e7aab6f, 0x5d56bed2, 0x0d54baff,
+    0x73695bff, 0x3038f5a2, 0x7fd33f79, 0x5c72262d, 0x57472075, 0x97f74a23, 0xc9c5361c, 0xd15a7545,
+    0x997c2b07, 0xe2989799, 0xd334c266, 0x86cd7b13, 0xd8947102, 0xc37646c2, 0xea5c24cf, 0x3fe5ac3d,
+    0xe3abf2d6, 0x17cb718e, 0x04f52d20, 0x4372a26d, 0x7750de3e, 0x60d9728b, 0x95ba1d4c, 0x26678283,
+    0xcb90b497, 0xe5913ab6, 0x552e78a0, 0xbfbed814, 0x7ef99319, 0xf2861643, 0x57c72098, 0x70b22cb9,
+    0xc5b4daf7, 0xf94cae9b, 0xf0159934, 0xe443acae, 0x2e8616b0, 0x54eb6743, 0x0ae37e12, 0x37871937,
+    0x395e74b2, 0xb21bd69f, 0x49046b9f, 0x8f90af65, 0x98732e07, 0x79b43d1f, 0x783246ed, 0x23ad5c82,
+    0x7ed5438a, 0xd392677a, 0xb8b82bc8, 0x449c7fe1, 0x695249a3, 0xbbe3d873, 0x28227598, 0x21a9e7dd,
+    0xbb4bef2a, 0x154e4324, 0x5a2a0c50, 0xc7ef00a9, 0x6de3699a, 0x9c445908, 0x0f9ab27c, 0x075f82b5,
+    0x6a670433, 0xf01cc057, 0x6d61607c, 0x2baa1585, 0x5abdf617, 0x34fb4f47, 0xc931f517, 0xd72ac5e6,
+    0x13af8327, 0x6d86c741, 0x00a43506, 0x3c893cfa, 0x59f3aedc, 0x966c7a35, 0x40056380, 0xd3b6efb2,
+    0x775168cf, 0xb673c65e, 0xc3e99e9a, 0x78bc9fb4, 0x2e532661, 0xf17ac452, 0x0c1dcf45, 0x48e4a80d,
+    0xd3c61d91, 0xe8809a69, 0xf5a6db7f, 0x8c608f4e, 0x3b63fb91, 0x2227c2bc, 0xc0427e96, 0xbb054075,
+    0x4227c729, 0xb9a30d56, 0x7afc6b14, 0x8916c919, 0x380da1b3, 0x23394eef, 0x0b9e64ad, 0x0ee08051,
+    0xfe104e76, 0x1d592daf, 0xaabfcef9, 0x08ff8109, 0xa987e0bf, 0x49e70240, 0x4fefe8e2, 0x80f0f2e9,
+    0x7a1faa3e, 0x80a5ceef, 0xa7b98563, 0x1e6598fa, 0x6a19e6f8, 0x35a0446c, 0xa476313a, 0xe5e7f539,
+    0xea2cbd98, 0xa8a123ec, 0xb65ed804, 0x4d45a8e8, 0x0d4fb5dd, 0x05da7706, 0xcdd867f4, 0x2d7657f3,
+    0x64477832, 0x9834af20, 0xef14bc80, 0x1f9a3a41, 0x7b5f8914, 0xfd4c7ac2, 0xc6491173, 0xb47c9e1d,
+    0x5ded2b68, 0xd726d528, 0x55021128, 0x6ef8b360, 0x96e81461, 0xbc7f33c5, 0x7c5c5240, 0x729e537b,
+    0x7ab67fbd, 0x1518380b, 0x5b629b28, 0xd504c47b, 0xd52984aa, 0x9aa78e1f, 0x80abb7e3, 0xae5b4417,
+    0xe84487fc, 0xa6c85de4, 0x312a21b5, 0x20062f4b, 0xfbae1467, 0x82e06899, 0xb003072d, 0x1dab62cc,
+    0x93e7495e, 0xd28e54f4, 0x904712a3, 0xbc81b23b, 0x42c0b548, 0x79ba8608, 0x4a08fbf4, 0xd4e5d56f,
+    0x6d892186, 0x9c4117f4, 0xc36c806b, 0x682614ed, 0x2e50f671, 0x5f26ee30, 0x0844a757, 0x1b1ef664,
+    0x43cbb0ea, 0x14720080, 0xd8da95ef, 0x6b95de0c, 0x774e9d36, 0x07ee8925, 0xb46922b8, 0x4ee14006,
+    0xeed4f5cd, 0xddb2fae5, 0xdba4e3e3, 0xb06c7d3a, 0x2b98fccd, 0x159cbd38, 0xe0871b80, 0xd2731a31,
+    0x50041782, 0x35f67feb, 0x42b370bd, 0x6e626932, 0xa173d3ba, 0xc2bf93eb, 0xf45289f3, 0xc0980540,
+    0xa9aba7b7, 0xd2f3d1a8, 0x90ac7d89, 0xbfbe90e5, 0xad897afc, 0x1e3a47b3, 0x91984f15, 0xb8b438a0,
+    0x5ff0cf00, 0xc45c2201, 0xa5f0be13, 0xb2545fc4, 0x287f87d1, 0xa0a63d45, 0x4cb230fc, 0x913bb8ec,
+    0x5e4c9aa5, 0x84304395, 0x3a6ac2dd, 0x750ae100, 0x032f1fdd, 0xf7020d1a, 0xdf8f7b5f, 0xa94d257d,
+    0x42cd6a3d, 0x3bcac0df, 0x32b5d77e, 0xa50e1ab5, 0xa8d38b70, 0x564435b5, 0x34713ab8, 0x935590c4,
+    0x046b398d, 0xedde82d0, 0x842d14bd, 0x54af8b83, 0x0977522c, 0xc8a995ed, 0xbea8fe10, 0xe43e087f,
+    0x44cd6704, 0xc3e3c10a, 0x1e224a64, 0x38bf9fe9, 0x7b3ebcbd, 0x32c4c718, 0xc8d7eabd, 0xc2d0bd57,
+    0x8c316ac9, 0x5e3d956f, 0xb3176b5f, 0x7fb4db31, 0x01279f07, 0x33a3f57d, 0xe2c2ae29, 0xb950dc57,
+    0x64114d7d, 0x896d6741, 0xd0eb3681, 0x3684a550, 0x95cf785d, 0xf5a1195c, 0x121d807c, 0x651af12e,
+    0x4f1b8afe, 0xa2284832, 0x72ae433e, 0x208f50ff, 0xd6dae666, 0xef4630c5, 0xc12aa5ec, 0x63c6d623,
+    0x222e4389, 0xda6eb60c, 0xf69efa5c, 0xad93a52c, 0xf60c094b, 0xb6feb854, 0xfeed57e4, 0xf72ba0a4,
+    0x335f6aa3, 0x5fe6bd76, 0x321adcb1, 0xf8929606, 0x54f0e4b1, 0xf5eda62f, 0x0fbb7080, 0x685ba492,
+    0x8aa7ced4, 0xa6941ca3, 0x33234aa7, 0x8d04a7af, 0x43cfb7fb, 0x29297102, 0x452ea2f0, 0xf57c1286,
+    0xc67deb58, 0xa3a1b668, 0x07627ffb, 0x401f664d, 0x5b847d6d, 0x69426c90, 0xaddd575f, 0xb97b6a35,
+    0x559d63ec, 0xdc843e0a, 0x8fb1fdc4, 0x458e2380, 0xaac707e6, 0xe8a1f029, 0x99ff57f8, 0x57287384,
+    0x285f877d, 0x7af6efcf, 0x4cde6b35, 0x51a81e94, 0x24c90d53, 0x7f619bb8, 0xee5d6f49, 0xf758e791,
+    0x116787fb, 0x5934d3bf, 0xcff71079, 0x1d9efbcc, 0x715f45bf, 0xdcc1a08a, 0x2add5dcb, 0xe882215d,
+    0x76f0f72a, 0x80d0a132, 0xe7f01cbd, 0x3a6544ab, 0xb8775141, 0x3a7bcdd6, 0x36b318bf, 0xff374e77,
+    0xff32d005, 0x4f45b944, 0x12721f5b, 0x299b84fe, 0xb6fd6a7e, 0x98eb722c, 0xa0175428, 0x4c7b8f97,
+    0x542d0766, 0x6e958b86, 0x41c92aaf, 0x914b152e, 0x6192582d, 0xf674f06f, 0xc4986f78, 0x9d81adf5,
+    0x85b1e7e7, 0x52331bd1, 0x80f7f8de, 0x9f19444b, 0x5a193cc2, 0xe3d097da, 0xf4426c5a, 0x6976ddc1,
+    0x6a42110f, 0xd04264b8, 0x099254fe, 0x541b5cab, 0x1310aa21, 0x9b706972, 0xaa53cd54, 0xd575f424,
+    0xf8739dec, 0x3f253da4, 0x7fe456b6, 0xa11362d8, 0xd67d20f4, 0x6061dfba, 0xb3ced8d6, 0x67d70f7e,
+    0x430dbd1b, 0x462a32c5, 0xa06d0647, 0x233711c4, 0x188488ba, 0xb6115ee8, 0xa34d0c01, 0x8a4e9352,
+    0x0d3f8702, 0x0a7743e6, 0x3a517027, 0x9221a4ef, 0x37a26546, 0x43021363, 0xa2bb5bd7, 0xf765629a,
+    0xbf448dd4, 0xa4602353, 0xd69ec78d, 0xf5e78a6c, 0xe5639164, 0x5812bda6, 0xb0f4dc33, 0xe50651fe,
+    0xecf5ac53, 0xe005c729, 0xd97122b5, 0x5a8efd6a, 0xa491b89b, 0x6aa2b0da, 0xaaaeb3ab, 0xc9e0ac0e,
+    0x01d43eaa, 0x8826f99d, 0xa923618f, 0xbaf005ba, 0x0629ee39, 0x9d34262c, 0xed86a912, 0xa59c72a2,
+    0x1b0bc44c, 0xa5430519, 0xb0ccc8d0, 0x3e6ce835, 0x90356d3e, 0xd460a229, 0x73ead1fa, 0xd3379022,
+    0x77bd89d5, 0xb20a452b, 0x98c9b010, 0x3f6e7c13, 0xb01cf9cd, 0x9621ffad, 0xe4b12103, 0x84d84155,
+    0xe0b8d70e, 0x2d671dcd, 0xecf9725c, 0x6981fcba, 0x988ced6c, 0x42358b55, 0x8ff44ac8, 0xb506fcce,
+    0x6377c891, 0xda82ce2b, 0xa4093288, 0x8b61d6a0, 0x69ced924, 0xeafc99a5, 0x879f2da3, 0xae76ecc8,
+    0x575cc6e5, 0x0d92940c, 0x66bf96e7, 0x0878b13f, 0xee3c4c10, 0xf41c7a03, 0xd1381b36, 0xbb997c83,
+    0x24f40671, 0xf5af532f, 0x44efeb4e, 0x26ece679, 0x338b32b6, 0x1a01f43a, 0x28c4b418, 0x994186c0,
+    0x3ee54bdc, 0xc3ad2eed, 0x97d37b93, 0x45b04075, 0xddb604f1, 0x85e68d31, 0x80af572d, 0x5f151f8b,
+    0x640cdf06, 0x4bdea354, 0xf4bad1a6, 0x36fb9b76, 0x4dfd4ffa, 0xd41bce36, 0xae37843c, 0x45202d97,
+    0xb0e8b4c1, 0xa4d35fc5, 0x88280d6d, 0xdbbeb3b3, 0xa65566a6, 0x4d432aab, 0xb5e195ee, 0x9d54d493,
+    0xdee93375, 0xf72560b3, 0xc2434320, 0xfce4c3ee, 0x8f5beb3b, 0x9c373865, 0xd75d9dee, 0x54a73dd2,
+    0xec625003, 0x2aefd40b, 0x451f1465, 0x2bacb54d, 0xbafc6c74, 0x5ec81119, 0xc0bd4346, 0xb3d0fbf8,
+    0x0e73c6e0, 0x341479b4, 0x4fddd59c, 0x7f8ef1be, 0x781b70a5, 0x800b4844, 0xcdbe8406, 0x78bd9d8e,
+    0x09ad806e, 0xe7ae50cc, 0xc5b79265, 0x10467e57, 0xc9d39cda, 0xda8ddf66, 0x321ed1c0, 0x3f731d1d,
+    0x6cb1f2bf, 0x7599437b, 0xb7d1f430, 0x378ca079, 0x9b1109a9, 0x44994e76, 0x965d63ca, 0xfccefccf,
+    0x4774849a, 0x39d855cc, 0xca220023, 0x626a27eb, 0x614d380e, 0x2f14f7a0, 0xa79f2dbd, 0x2c07ddee,
+    0x3c652975, 0xe21969a5, 0x4c3e9da4, 0x87963b6b, 0xc813c0bf, 0x91d1e096, 0xa64da23b, 0xe84ee3b1,
+    0xe610e413, 0x80793540, 0xae7dd395, 0xd31a3f17, 0x895613d7, 0xe6cf4b98, 0xbe9b60ed, 0x37010a3b,
+    0x7cf5c093, 0x27e03ed4, 0x71432020, 0xc5d432f7, 0xbb126b15, 0x676b7285, 0xab01c382, 0xf29d8b93,
+    0xc0b40b76, 0x7fefa4cd, 0xffd95a00, 0x5f0be534, 0x830d4e6e, 0x1b1b8f3b, 0xefa06e43, 0x7a466e46,
+    0xb31e49a6, 0xb463d161, 0x8aaa5cc2, 0x6984b721, 0x66ac5dfc, 0xb85e76fa, 0x68f9c1cb, 0xab7e6b60,
+    0xdf465340, 0x138022a4, 0x32258db2, 0xd0dd8f1a, 0x93c41242, 0x06f7cd06, 0xd0c2cbbe, 0xded385d7,
+    0x9bf97809, 0x025e182e, 0xf8ef4618, 0x24516411, 0xc6a0cef7, 0x8915e216, 0xbca54dbe, 0x43c83911,
+    0xde4d9e46, 0xb9d8643e, 0x359ed3e4, 0xbb35f598, 0x59f2b6c2, 0x8459031f, 0xf584f75b, 0x19d477a6,
+    0x78ae907f, 0x9f5d5196, 0xc5313e41, 0x45911610, 0xeeddad4f, 0xd310fc1e, 0x93777a09, 0x5c9f5c5b,
+    0x7151ef5c, 0xcb4d1b1f, 0x0d8f9950, 0x2f491c28, 0x31076814, 0x1e2c7ad3, 0xefc33d6b, 0xa54a696c,
+    0x4ca3e946, 0x87a2c2f5, 0x36bf2ca4, 0x2a511102, 0x1e674876, 0x9f6f918d, 0x3ac7c852, 0x7955af94,
+    0xbc51f8ac, 0x0944f479, 0x609d32da, 0xc2b6c081, 0x67382a65, 0x2389b7d7, 0x34f9e253, 0x9bafef0e,
+    0xb962c59d, 0x66f701c9, 0x49faa73f, 0x36830534, 0xfa0cb58f, 0x6d3ddd96, 0x87c77ad9, 0x4988156b,
+    0xd82e5229, 0xf7c5827d, 0x27731935, 0x4d63bbd8, 0xae5531fe, 0xa0eeb549, 0x541109a5, 0xa03bbe4e,
+    0xb578a053, 0x8b43978c, 0x879a6449, 0x5e5c661f, 0x5bcda35b, 0xb9944277, 0x75be1c4f, 0x7d6ffce6,
+    0x4f04e037, 0x2c166ff4, 0xd78c2b00, 0x0cbf7b07, 0x3b55dcc2, 0xa1fa858f, 0xd6aff3c1, 0x9a9d8305,
+    0x0c27b063, 0x7435cefe, 0xaac01e21, 0x9f5026f5, 0x8bacd9a9, 0x0d9be9e2, 0x4d76c9d4, 0x7e2cf082,
+    0xdc5b68b3, 0xca494f14, 0x09451235, 0xbbbbd8f3, 0x1b7991cc, 0xbaaa28f5, 0x294aea3a, 0xac5ca85b,
+    0xaf756093, 0x4bb6c914, 0xe0945404, 0x9fa34007, 0x694a4d0c, 0x265ea421, 0x52a8b71b, 0x85b4b163,
+    0x7515abfd, 0xd5b7b750, 0x750819f5, 0x8e1e7e6d, 0xb4d13ca7, 0xae593bc4, 0x37747699, 0xae0ffe9e,
+    0x5e336676, 0x00d02742, 0x96ab36a4, 0x5f95dd74, 0x9347448e, 0x6a705377, 0x51c5fb8f, 0x08e80b48,
+    0x5abb0525, 0x2a7183e4, 0xf346b025, 0x9a519c83, 0x1ea9046c, 0x12c72951, 0x114962c1, 0xdb33fdde,
+    0xbba325c5, 0x2c67a3b5, 0x363768bf, 0x66f8c4d7, 0xe4192efe, 0xc92ab56f, 0x1ace1059, 0x90d143b9,
+    0x9d2f2eb1, 0xdf579238, 0x352b78b4, 0x3cf1ac45, 0x5f67e446, 0x066063d7, 0x66ce0a66, 0x5a641c56,
+    0xb24f5d75, 0x3a52e2de, 0x52309cbc, 0x3761f947, 0xfd631644, 0x05468bd6, 0x6a705871, 0xe7ca7da7,
+    0x95501d7d, 0xb4c8b5b4, 0x918afd8b, 0x7140d593, 0x2940ff90, 0x6ba34c7c, 0x681d4d9f, 0x32b1c59b,
+    0x7d9adcb9, 0xfe17e5f7, 0xc63fa8dc, 0x15b5ef17, 0xc72834d4, 0x107d736c, 0xa8bdfd82, 0x47594446,
+    0x05ae4627, 0x9b480e40, 0x3c729fad, 0x82134b0c, 0x06c59846, 0x7c015fa3, 0x6ee4d2e2, 0xd71ed681,
+    0xf69d26cb, 0xd70d7e90, 0x4ccbf400, 0x2ec929a3, 0x5200d9d2, 0xe6cca274, 0xe99ff56f, 0x176650f1,
+    0x87ca9280, 0x1bb3f6b9, 0x79931f24, 0x40e18dab, 0xa86fc4f1, 0xca898563, 0xbde19c98, 0xcad65e35,
+    0x27ae197d, 0xf116e232, 0x226e8fe1, 0x41247452, 0xc44d2bc6, 0x3cf0ef71, 0x258c2867, 0xca0646c4,
+    0xc23dac56, 0xd64f2afb, 0xf67022b2, 0x929e3b01, 0x1df61c61, 0xc5096497, 0x5a5d3e5c, 0x242123f4,
+    0x2f08e36f, 0xfe9faede, 0xdbd1f7e7, 0xb6ed641d, 0xe82bd3a4, 0xeed4161f, 0x5e33aab1, 0xcd4198c0,
+    0x50727c54, 0x5c11773d, 0x041bff95, 0xd84b3ae8, 0x00476236, 0x675d9d92, 0x41bad97c, 0xd3f05b7d,
+    0xbda1f367, 0x3fb6565c, 0xbd9dd697, 0x1a2d312e, 0x1198ef94, 0x00830872, 0x55b4d3e2, 0xade219c8,
+    0x00000000 }, /* 10**-00000511467282483772167189560890129312367533850319694228873356764276265020905\
+                          68823039920051095192592252455482604439493126109519019633529459266458258243584 */
+  { 0x00000000,
+    0x3fff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8c,
+    0x3d317ccd, 0x7810b115, 0x7062e0ed, 0xa0aa4e29, 0x7a14f5e5, 0x08dbfd4d, 0x1ad59807, 0x4e99584e,
+    0x00000000,
+    0xeec1c95b, 0x0b5f5793, 0x68847667, 0xfd1cdb25, 0x9d7bbd37, 0x7f79b7d2, 0x9dd3a6c8, 0x90e41e0d,
+    0x4fcbc13c, 0xce0d1e9f, 0xf1bf8baf, 0x1a8f2ed1, 0xa7bcd04c, 0xda9bed18, 0xe132e761, 0x26bd661c,
+    0x9a73d506, 0xfb1ad8e4, 0xfe3761c1, 0xd3943e4c, 0x616085e4, 0xc4ac3fc5, 0x5991b2fa, 0x89c44bae,
+    0x8dc1e626, 0xc39a865f, 0xbc0d6d07, 0x17d1b590, 0xd7ba26ea, 0x1086fc15, 0xa06a17b0, 0x629bc839,
+    0x2c867609, 0x79d80b8a, 0x44ca9758, 0x4b705d09, 0x6c002334, 0xb3a542da, 0x745ca27a, 0xef5e395c,
+    0x6819ff02, 0x3772683e, 0xe0780c5c, 0x09eb75e2, 0xe762ddb6, 0x3d002105, 0x8fcbd7be, 0xe2daa99f,
+    0x4ff5c467, 0xf1b0e015, 0xbbaa44c1, 0x550d0970, 0x3188952d, 0x9a309615, 0x71972964, 0x801ed03d,
+    0x9383ea47, 0xb48019a2, 0x460bcd07, 0x3f901e49, 0x14545267, 0xcdeadcbb, 0x2c26b3f8, 0xb0221905,
+    0x116e24a1, 0x0ce572d2, 0x84c0a68e, 0xebd5c752, 0x35fb887d, 0xa692dbb3, 0xc24b2c20, 0x83bec90b,
+    0x0a726ad0, 0xeab6357f, 0x8698bd45, 0xd41003b5, 0x58ba9474, 0xb7b2ed05, 0x8a6af0b9, 0x98deab3a,
+    0x387fcd64, 0x189c0848, 0xfbef6899, 0x3eea079f, 0xbe833212, 0xb0eee54c, 0x07d164de, 0x352500f3,
+    0x6b1bb652, 0x88e14093, 0xf32cd35c, 0xcc0cb877, 0xd76ec14d, 0xa70c9d0e, 0xfc268b64, 0xda5e70e9,
+    0xf6abe70f, 0x3ae613ae, 0x58af4d15, 0x0875d7ee, 0xfa7d85ef, 0x3855d9e1, 0x6ab52cd4, 0xf60f545f,
+    0xec80798d, 0xec96ed0d, 0xf5b17556, 0x705b9b27, 0xec250c48, 0x882d4de7, 0xce85c933, 0xf58e863e,
+    0x80a4d244, 0xde556d00, 0x3e2ae2bb, 0x30502615, 0x14a076ca, 0x0227b35a, 0xfd39e97b, 0x661f0a8c,
+    0x81807e53, 0xda959abf, 0x7afaf60e, 0xc8951f5f, 0xdea2b4a5, 0x07d33f2d, 0x8a8c883e, 0x0a58025d,
+    0x9661bfad, 0x1f8900a1, 0xf3715dff, 0x87d3efc0, 0x23e08324, 0xbcaf0a2f, 0x65425f4a, 0x67465b4b,
+    0x30daf38b, 0x202bd332, 0x54c960bf, 0x35d271c5, 0x0405628b, 0xcb4e6b37, 0xf3433a7e, 0x67c8bfe8,
+    0xb1551aa7, 0x18d7eb5f, 0xf8703efc, 0x6cf29254, 0x4b5da261, 0xa970bf8a, 0xeaef6c7d, 0x0515db67,
+    0x5b58ed42, 0x4b1e7b2f, 0x8f5be463, 0x71e6c891, 0x843b5e29, 0x789927f7, 0x32f4e94d, 0xc86ec4cd,
+    0x3f639e25, 0x93b88e7a, 0x210a4c82, 0x17be5849, 0x354727f5, 0xb67e6d19, 0x3b3092ee, 0x41f81416,
+    0x5b85591f, 0xc6f988f9, 0x8da7574d, 0x5bcf0b95, 0xa2a321a7, 0x4c5d1ce0, 0x3eb720bc, 0xa577ceea,
+    0x8d2720f5, 0x22b84390, 0x4328d83a, 0xa75d9051, 0x93b7fd3a, 0x953ac6ac, 0x2c386e8b, 0x90b9d57a,
+    0x28997405, 0xc33c4ca6, 0x551d04aa, 0x4f302d69, 0xcac11d3b, 0x0aa6c843, 0x3efadb41, 0xbbbe6ac2,
+    0xe31253f9, 0xef297a9e, 0x411593ed, 0xe7fb87e5, 0x43e561d1, 0x2d36d5ea, 0x44dd351a, 0x28717517,
+    0x506cc9d5, 0x437aa28c, 0x1285df03, 0x6f5634de, 0xc8dfb115, 0x81e026a8, 0x2190b73b, 0xb4651b50,
+    0xa68770a2, 0xd9bcec40, 0x5afae491, 0x6b448c2b, 0x174b4163, 0xe1ff477b, 0x7f3cdd16, 0xb072e790,
+    0x107454ec, 0x2c6770e8, 0xd0688d72, 0x673fe881, 0x5b850936, 0x260b8ebf, 0x3796c241, 0x1d65f093,
+    0x30ddf1d7, 0x20b6dfe6, 0x4a88df61, 0x5e9d9189, 0x11ce688c, 0xa0f2404a, 0xd9d80709, 0x2821a20e,
+    0xb62a2d4f, 0x4c4a0094, 0xcdb5d49d, 0x197fbf40, 0x51740216, 0x8a8321fe, 0xcb2706fc, 0xc09e923c,
+    0xa9697a5c, 0xb80ce2de, 0x0646afb1, 0x88104cf3, 0xd7ab1e9f, 0xd3520b07, 0xb4cbbb69, 0x0522c54d,
+    0xe9e33a41, 0x17a305f0, 0xeae2d5dc, 0x5336c0d9, 0x3feffc8f, 0x6dae0136, 0x5942c9b4, 0x6f1d8904,
+    0x12a46622, 0x0e5fe00e, 0x710826bd, 0xfd759e06, 0xe0220ba3, 0xc3897945, 0x1b31e470, 0x06daac30,
+    0x02632cb8, 0xf1d06fc0, 0x87e99d9a, 0x7ea8a8ef, 0xbbe3241a, 0x976ebd35, 0xe9184cfe, 0xdbb2dc06,
+    0x28246450, 0xaa9383e3, 0x8523d810, 0x3a512635, 0xe24087e8, 0x480a6113, 0x0271141c, 0x88f78b3a,
+    0x9d4a22fe, 0xac5d7b72, 0x084d07b8, 0xe641ac5d, 0x7e082619, 0xdf3de2a1, 0xb773a14b, 0xaac839c0,
+    0xdee48dc2, 0xc8184abb, 0x35f41b5e, 0x8290e790, 0xca0a7fa6, 0x24c14dd0, 0x5ee48c4a, 0xf1d374cf,
+    0x4a4f6507, 0x1d8b92e4, 0x5a8c145e, 0xa7e28ebe, 0x32d6768a, 0x9fcf838e, 0x55b8cc94, 0x982291de,
+    0x9b982e1d, 0x3261b43f, 0x596ecb26, 0xce57216c, 0x49211bee, 0x1b449ff6, 0xebbf50b4, 0x7b258bac,
+    0xb1625def, 0x0c4554fd, 0xf119ef9c, 0x039c33c4, 0xf2b828ce, 0x16465921, 0xb039de48, 0x6650238a,
+    0x235b8045, 0xe840a1d1, 0x6605a8f7, 0x2003a28d, 0x44a7d7dc, 0x927032db, 0x4be43dac, 0xd7fb3b86,
+    0x47df7400, 0xbfea14f8, 0x090fdd89, 0x2daf320f, 0x7991ea1e, 0xbf6741d3, 0x97d340b8, 0xe8582d42,
+    0x3a241410, 0x5bae2b2e, 0x7d3d9737, 0x45d2d36c, 0x810bf361, 0x91d66cc6, 0xf5ae17c2, 0x9b062ae4,
+    0x0f49fe4b, 0xc6021131, 0x61ed70f0, 0x7c6d36aa, 0x2b23282e, 0x0f804a84, 0x61554f74, 0x79b565bb,
+    0x9d56dc88, 0x7debc7e6, 0x766a82a1, 0x1d098fe7, 0xf50fea51, 0xdf134b0e, 0x91484229, 0x19f51dc6,
+    0xa36e9a0f, 0xf698c535, 0x8b4e92f9, 0x1b1d3685, 0x455ce980, 0x59f77da3, 0xdf2aae00, 0x0b689b72,
+    0xa20066a7, 0xf13a4fac, 0xc3cb9b9c, 0x1d807d9b, 0xacf1eba0, 0x4693dc3c, 0x0f0aaf85, 0xa76f322c,
+    0x8bfba861, 0xe8fb912c, 0x67762041, 0xebd3d7ec, 0x0704f2a4, 0x9c56dac2, 0xd1045b3d, 0x357f338e,
+    0xdc579124, 0xd9c9c382, 0x01d118b1, 0xf6abe5f0, 0x30f65cb2, 0x625c5baf, 0xbc0a4462, 0x0a4f176a,
+    0xd7d55182, 0x7c3c1d93, 0x4d4a1af1, 0xff7d96a7, 0x6ec43a65, 0x3f0eead2, 0x33edbaa3, 0x6b12e742,
+    0x0e2a1304, 0xfe530cd3, 0xb41ee80c, 0x8041fc6d, 0xd8f5a041, 0x91b82ac8, 0x23983911, 0x6564c73b,
+    0x33685ace, 0x677b0bcd, 0x02229ec9, 0x2128ed4c, 0xa87947b9, 0xafa45b09, 0xcc14bb01, 0x528dfc79,
+    0x6bdf5b75, 0x18551476, 0xb42e5e7e, 0x6ff2aaa7, 0xf23d94fd, 0xcf003adf, 0xa2acc375, 0x7e009b0b,
+    0xa7773511, 0x6aec2bf3, 0x160e98c3, 0x71f79211, 0xf5d80ab3, 0x17d9f166, 0x4d2514e1, 0xb73005ae,
+    0xfa070016, 0xaa23ebca, 0xbd49ff95, 0xd5436908, 0xc2680399, 0x3860d961, 0x328a76e9, 0xf6452431,
+    0xcf48d3aa, 0x43d1f74d, 0x1256b13f, 0x72a9806f, 0xe57fe879, 0x20ff66a8, 0x1b94601c, 0xbe12c001,
+    0xffccd485, 0x06ef3410, 0x3b9dfcbb, 0xe3be7f60, 0x67e219f7, 0x4a30b5ec, 0x4a18e28d, 0x3532f04b,
+    0xd583f63c, 0xb8c7d5ba, 0xd7d48ef9, 0x3cd2b607, 0xed1c5ccc, 0x1408fbe8, 0x9e678c22, 0x6046bcf7,
+    0xeac5d7cd, 0x6b0ddc45, 0x0170fd7e, 0x82ff1bd0, 0xc24d9a7b, 0x8630d4fc, 0xa82eb9c2, 0x32eafe1f,
+    0xf0af8a79, 0xfd83ac02, 0xb0b36f6b, 0x1ac8aa5c, 0x323f705f, 0x3356e2fc, 0xf50e986b, 0x3f820562,
+    0xef33e54d, 0x60325803, 0xa90685de, 0x7f36aa39, 0xd5a315b6, 0xa31ee3a1, 0x8fea9229, 0x3b89a740,
+    0x07c1782a, 0xee1795be, 0x19c6a5a4, 0x9293e5e8, 0x9bc819f9, 0x3494a4e2, 0x3226f60a, 0x4ad66cc7,
+    0x38761412, 0x2f6e038d, 0xd827f7cb, 0xf7dcfb17, 0x4ff9ac9c, 0xacec9576, 0x29366be6, 0xd3f71eb9,
+    0x19675bdc, 0x10af7354, 0xcf33b4de, 0x921e9902, 0x53019348, 0x7d4255e3, 0xb111e9a2, 0x65375d58,
+    0x33664978, 0xd2e60f69, 0x74ff421c, 0xacc67de5, 0xba190c94, 0xee4ef6df, 0x1fb60666, 0xd61c626b,
+    0xce7203fc, 0x4e45e5ae, 0xc4be4c9b, 0x36112b4a, 0x1f296d82, 0x4e65952d, 0x51efd6d0, 0xdb96f1be,
+    0xbadd3ac0, 0xc504ce5f, 0xc0b1dac0, 0xa7224b72, 0x7a2a4a65, 0x29839c1d, 0x29bccc38, 0x9daf4fd6,
+    0x59789e8a, 0x6c001ea7, 0xdf747105, 0x350b3861, 0xa73f8cc6, 0x28e29e46, 0x11b6919c, 0xb15f1c26,
+    0xf27e6103, 0xed8d8f12, 0x26e81c39, 0x5652d2c5, 0xd462f81c, 0xb9e81d8d, 0xb4afbc22, 0x8c1bece7,
+    0xfd11f60b, 0xafaf8a1f, 0xe6331175, 0xa42d43f9, 0x76e28091, 0x74920339, 0xdcf2b5ac, 0xf904a243,
+    0xbc30c2a0, 0x72fd72be, 0xc0931b6b, 0xb1ad02d2, 0x94305308, 0xa1eda668, 0x3143ba5d, 0x1b42a788,
+    0x2067c099, 0xb3e0abdc, 0xec633d58, 0xb9833cd9, 0x66149af3, 0x7450c5e4, 0xac01be8e, 0xbc21cfc1,
+    0x829218d3, 0xb3fd1d66, 0x6c118a89, 0x290b1fe9, 0xb6a53ed1, 0xea66e945, 0xc9ded19f, 0xead16eca,
+    0x8c407551, 0x8447ac73, 0xbba391b8, 0x2d3f5fc3, 0x3ea36e53, 0x3511c0af, 0x16448bc2, 0xc6582812,
+    0x63135973, 0xa15549cb, 0x33967837, 0x8c2429f6, 0xc5682c48, 0xd23638fd, 0xaf63505e, 0xc9487d2f,
+    0xed57b66a, 0x749dec43, 0x21fd2de5, 0x1b5ec56e, 0xc3a07581, 0xfde6713f, 0x55a74f1f, 0x9ea3a8e6,
+    0x77198b8e, 0x09def136, 0x2dc2bfd5, 0x8b4f54c8, 0xe4b9f0e5, 0xa3258d48, 0x6476cb83, 0xff0877b1,
+    0xea390d05, 0xbe188bf5, 0x5c6418db, 0x3c5f4b2e, 0x05526cec, 0xaf57079a, 0xae61b0e9, 0x192b1ccf,
+    0x4d712122, 0xfe642889, 0x75e96dc9, 0xb4ca52d7, 0xac22d740, 0x27eef37f, 0x2e9af8eb, 0x2e3a0873,
+    0x88d575b3, 0xc213d8d4, 0x2ee667f7, 0x771818b7, 0x183630e0, 0x1509da3c, 0xef6e36af, 0xa6c0c521,
+    0xe47ee14e, 0xad6d24bd, 0x253f6829, 0x2726a94a, 0x82e715cf, 0x1cda77c4, 0x210b9939, 0x8d9b4d0a,
+    0xdb908788, 0x167709f0, 0xead135ba, 0xbc99c030, 0x2cbf76c1, 0x5760d502, 0x2c234c58, 0x15cc310f,
+    0x9e884a22, 0x2f27b5e4, 0xfcfe35e9, 0x4c3ab9c2, 0x22966269, 0xbfda3680, 0x3d4a2351, 0xb6acd76a,
+    0xe9bc90d6, 0x52805154, 0xad15903f, 0x2c1d8c4d, 0xafae23eb, 0x81e4c8f1, 0xbaa5050e, 0x419282b9,
+    0xf2026c0c, 0xdd63a37d, 0x78ced793, 0x08c1f793, 0x733e9dd3, 0x02dd4c58, 0x73f95525, 0x368d8bfe,
+    0xa6984796, 0x47a6b6c7, 0x3471d688, 0x102f74a8, 0xe1cd9fa0, 0x6799e59b, 0xff4d85b8, 0xe068d3f0,
+    0xe81b2ac6, 0xe6429f8d, 0x886402cb, 0x4f39f4ab, 0xcd6dde7b, 0x22cb3c37, 0xcd7e4b38, 0x65f93bbc,
+    0x489f8c3d, 0xb603b82e, 0x6636f220, 0xcf7a4d2b, 0xeb24a124, 0x0afdbd34, 0x1c379872, 0x9d2899c4,
+    0x19d274ae, 0xdd3211d1, 0x2080b638, 0x81a09213, 0xfbeb6c03, 0xccacc0a7, 0xa54aea23, 0xd7e6669a,
+    0x8430f715, 0x5d74434f, 0x9b58cc3f, 0xc14128cc, 0x03d7b91b, 0xebc06dd1, 0x6ce73dca, 0xf87e93e8,
+    0x13112926, 0xbb3185a9, 0xc045c1eb, 0xcf8f9ba6, 0x6c9d0052, 0xc25ef21c, 0x55d8f598, 0xd03e42c8,
+    0xf357a22d, 0x6337a0fa, 0xcfda15cc, 0xe82e39a6, 0x0bcdc957, 0x9acbbb44, 0x5c63d5fd, 0x0d8b34b9,
+    0x2ee6ed3c, 0x6e9f1388, 0x35f9a892, 0xeba90568, 0x8d70fcae, 0x923b9742, 0x25619a88, 0x367bf767,
+    0x12826fea, 0xf510a594, 0x3ccc29d3, 0x901be18b, 0xae29db0b, 0x42914e34, 0xf6e4816f, 0x46bd7b19,
+    0xced1ced1, 0x12c03867, 0x76365bda, 0x1bedc44a, 0x3c2392b8, 0x42b98079, 0x81f93058, 0x04c36545,
+    0x5c842716, 0xd3a458df, 0x883fc673, 0xfd73dd63, 0x339898cf, 0xe0d8c8d8, 0xfabe1f48, 0xd57209a7,
+    0x76a412e1, 0x0c720ec7, 0x1ac83b23, 0xc3b6eb2a, 0x033ae9d6, 0xa64aaa02, 0x897b4585, 0x5512621c,
+    0x94c229f8, 0xa8a8b90d, 0x64a37d36, 0xd7148ee5, 0x0d82d4a3, 0xde03b81f, 0xa4af2497, 0xd3cc343f,
+    0xb5574cfc, 0xb659e01d, 0x758051cb, 0x6d56e04b, 0xef6ca0a2, 0x8fa92838, 0x0db67c97, 0xb9c778c8,
+    0xa34a68bd, 0xa71b25bb, 0x3a6e1ccb, 0xed533040, 0x103dc17c, 0xd2c4cd11, 0xe3c01c97, 0x08b84996,
+    0x266f514b, 0x047c5e77, 0x7a601f04, 0x2a2bee18, 0xed3f39fd, 0x3fcac179, 0x51a6b80c, 0xdcf21da9,
+    0x914da992, 0x3f5f46ea, 0x5d26d117, 0xdca862d6, 0xf4e4428c, 0x5b9e9ee5, 0xae795b74, 0xd614c203,
+    0x3c798a7a, 0x91a83f52, 0xecfd6db7, 0xf9a8a8f7, 0xf3635e97, 0xe9285c56, 0xd7781d38, 0xf05272dc,
+    0x071474b1, 0x7e1801f2, 0x84cfc3e8, 0xef1d17b1, 0x84f21036, 0xbf34a72f, 0x83d1213d, 0x3490d921,
+    0x19180c99, 0x3ac681d9, 0x07c35336, 0xe2828a2a, 0xb8e4890a, 0xee033d28, 0xf388f315, 0x8ff7cbd5,
+    0x59eed4f4, 0xe38a18fb, 0xa5267254, 0x30f156ee, 0x4efd88c7, 0xc684581b, 0xedcfbe9f, 0xfb4ba570,
+    0x49d675b9, 0xbc5e6557, 0x7885c45e, 0xa0e74065, 0xfe0f8ae3, 0xb4e69711, 0x1f2e0591, 0x0dfd80c0,
+    0xec731b77, 0xd1e0004a, 0xdccc3e21, 0x666ce211, 0x23b2b25d, 0xc3ef931b, 0x3b5ffd9d, 0x9e5cec1d,
+    0xec7f744a, 0xa6ad44a1, 0x1020bbf5, 0x5a92e9e4, 0xe87dc764, 0x06ca32eb, 0x54c5ee41, 0x0476ed22,
+    0x8ed62c7f, 0x1b0f33ba, 0xca59e6ab, 0x6714a086, 0xf7f0193e, 0x680bdeea, 0x69b6aeed, 0xc4c943ad,
+    0x223ed67f, 0xf7a0148f, 0xdba8053f, 0x3b7640a0, 0xd71ee0b4, 0x94f798ae, 0x3866c978, 0xb940a9c2,
+    0xf4242dce, 0x2e8d7b82, 0x45bae7b1, 0xd0810c30, 0x4a254a1f, 0x8b95d41b, 0xaafa5ba0, 0x8af69589,
+    0x8be19364, 0x28fa3dfd, 0xa31bf570, 0xdfc93237, 0xdb58b22d, 0x90c5c522, 0x35108ec8, 0x3931944f,
+    0xc2809012, 0x4dd65442, 0xc7fd3660, 0x65be5843, 0x25f15532, 0xab93e1e7, 0x7bc36f3c, 0x0e21cd30,
+    0x66c6caa9, 0x34c91897, 0x49060061, 0xe93352f6, 0x59e5d05e, 0x130b355b, 0x93cafe96, 0xbdf3cf4d,
+    0x407ad787, 0xaf251d32, 0xc341f2db, 0x49dd0e17, 0xc256888a, 0x1b09310c, 0x1e988d20, 0xc6099d61,
+    0xc94c08e9, 0xa8868c66, 0xd5458739, 0x113b4353, 0xcece1790, 0x4ded9e29, 0x0cbe2a03, 0x6e71880b,
+    0xdcd253ac, 0x9dd49e9b, 0x3e7179e3, 0x1bc48fcb, 0x1fe6079c, 0xcf4daefb, 0x862e07f0, 0xd439ae4e,
+    0xd6207749, 0xe8498f1d, 0xe1193c7a, 0xbb20f079, 0x88ca9532, 0x2700e3e4, 0xc043ecb5, 0xddf845bc,
+    0xf6b0682a, 0x04b91a61, 0x5a63c5e0, 0xa8b3a53e, 0x64add407, 0xb4bcf530, 0x889c5062, 0x8e05d83f,
+    0xe0d5ac32, 0xeffca42c, 0xd356381c, 0xca3cae37, 0x65f58c33, 0xdbf2a5fe, 0x54ec8635, 0xe285f81f,
+    0xf66cae08, 0x2d09b611, 0xf458cbea, 0x27bdad18, 0x35e94cfb, 0x92f98f93, 0xb2671076, 0x840d5490,
+    0x1d2d4cbe, 0xb508d916, 0x06e6ce50, 0xc9429968, 0x2d9babf8, 0x35737870, 0xe7324776, 0x7da72732,
+    0x38d18b31, 0xdead3489, 0xf0e00249, 0x3f0e7bce, 0x4e828ad8, 0x40f0247c, 0x6d3b933b, 0x41f764f2,
+    0x15971e12, 0x15eca9a0, 0x88283e78, 0x373d785e, 0x5a307767, 0x52431833, 0xcf40d7ad, 0x09618ff9,
+    0x82ffa50a, 0x89b99fa6, 0x18617b58, 0x1c42a883, 0x5488c589, 0x7eabb453, 0x220a255e, 0x93f89aba,
+    0x00000000 }, /* 10**-00000255733641241886083594780445064656183766925159847114436678382138132510452\
+                          84411519960025547596296126227741302219746563054759509816764729633229129121792 */
+  { 0x00000000,
+    0x3fffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf46,
+    0x1e98be66, 0xbc08588a, 0xb8317076, 0xd0552714, 0xbd0a7af2, 0x846dfea6, 0x8d6acc03, 0xa74cac26,
+    0x00000000,
+    0xf73a6bcd, 0x3983abb1, 0x6d3d07d2, 0x8cfa4664, 0x1c5c09fe, 0x45c885df, 0x475d889f, 0x5306ce2b,
+    0x2a934295, 0x06c41db2, 0x69eaac82, 0x85fa57c8, 0xfa2cc125, 0xf0babe23, 0xd7283241, 0xe000a612,
+    0x170549f5, 0x7e7cf1ac, 0x04b97292, 0x5a5ca0f9, 0xf07898da, 0xe328f730, 0x5c01a88f, 0x1c309e83,
+    0x437bfa6e, 0xec579eb7, 0x86a2e09b, 0x58ed853c, 0x6fb07013, 0xe359ded8, 0x1e9cca02, 0x75c9dabf,
+    0x43969d66, 0xfabb7a82, 0x87225ec2, 0xd729309c, 0x2831be26, 0x6e64cef5, 0x0461a86d, 0x9aaf254f,
+    0x2dbbe762, 0xec29eba6, 0x133c91d7, 0x8b66effd, 0xf3cdf0b0, 0xb50cc204, 0xd3488b0f, 0xe3b7b1ab,
+    0x9ed686a4, 0x32e48d2d, 0x22be87db, 0x1c370c68, 0x4ca8bf4c, 0xa8ddf313, 0xd4c76caf, 0x5526ed86,
+    0x25843283, 0xfa9bd068, 0x9064465f, 0x387afcf1, 0x6d734388, 0x76e21523, 0xfecb938d, 0x7430695f,
+    0x21d83dd6, 0x7ae7f7cb, 0x90c67825, 0x48a02bc3, 0xe8587f31, 0x1de3d65d, 0x5cfc8141, 0x5b47a78b,
+    0x58dec7d7, 0x280021e9, 0x0d8f3045, 0xe1111e6b, 0xd5a12e4e, 0x17db08ed, 0x5d6de9ee, 0x234b1e88,
+    0x3eefc6b2, 0x6c0d18e4, 0x7f4be988, 0x7fcbd3f6, 0xb30135d1, 0x93c072dc, 0x6309a707, 0xf860a11c,
+    0x36067230, 0x531652d4, 0x424af09d, 0x2652d988, 0xb190c5e1, 0x5da30ecd, 0xbc7974f7, 0x49308d64,
+    0x0e56a84a, 0x8968e84f, 0x4d06797d, 0x517a78aa, 0x012de960, 0xfca8b058, 0xef5b0c63, 0x74ee5562,
+    0x463b1bbf, 0x4465e69c, 0xc1b56579, 0x2be4cc5d, 0x05a4d0ca, 0x98b4b395, 0x02b4b2ca, 0x80992a8a,
+    0xeabef674, 0xd0fae821, 0x29d86ebb, 0xd8a66133, 0x5aadff32, 0xe6680b41, 0x43c184b7, 0xd2a3891c,
+    0x2615bb4a, 0x81475f27, 0x9af6b046, 0xd4d62ba3, 0x6e7272d6, 0xbba14f63, 0xed10e49b, 0xabdd3591,
+    0x39a0209d, 0x6b872b46, 0x2efc29f0, 0xea6a19fe, 0xd9d79e79, 0x5e044b6b, 0x6535c009, 0xdb2337e3,
+    0x61863516, 0x514e84c9, 0x9b93da32, 0x934de360, 0x48aaa816, 0x4102c80a, 0x1037eee2, 0x54ea3913,
+    0x64f79064, 0xcb4cd44c, 0xa3a730c3, 0x958a996a, 0x2499087f, 0xe9dcbf5c, 0xa278dbb9, 0xa365fca2,
+    0x5396ceac, 0x1bc6b54e, 0xdf96a325, 0x4f878fd8, 0x95d95e5d, 0x51075611, 0xc7362989, 0xe6958c5b,
+    0x9fc8fc85, 0x801098eb, 0xcb2f7ac1, 0xc9acbcb6, 0x3dfb51f4, 0xc9fae865, 0xbdeb6a48, 0x5498cac1,
+    0xe874b671, 0x33d5ceeb, 0x6c96c965, 0x455157c2, 0x5b90f212, 0x39659836, 0x390ee351, 0x253feb7e,
+    0x8aabe70f, 0x074759ab, 0x36a8f6aa, 0x51e2bbe0, 0xaef41397, 0xeb7a8785, 0xb6a7088d, 0xd1e3e2d3,
+    0x006b20bd, 0x7d8a2509, 0x4345ab11, 0x12accc17, 0x10de6fd9, 0x26f4fa6c, 0x3cf7f78c, 0xbcf4135c,
+    0x29596022, 0x62f10353, 0x3dce3e15, 0x73e205fd, 0x20623b87, 0xf0b22018, 0x0c59be17, 0xe7334fe3,
+    0xc8b675c4, 0xfa03da42, 0xc024254a, 0xb5c8f566, 0x00d07958, 0x0cc00052, 0xfbc7a874, 0xd30aa4c7,
+    0x50e6b3a9, 0x4afd7604, 0xa48b864b, 0xb994d7cb, 0x4df7d4ce, 0xbe1c5f07, 0xf748ee98, 0xd77440d6,
+    0x25baeee2, 0x1cec7f45, 0x0e718efa, 0x35dfe793, 0xaa39c99c, 0x9becf269, 0xc16664f5, 0x6aa684ea,
+    0xc9e4c93e, 0x64a7abe4, 0x508e570e, 0x1ab27947, 0x781de659, 0xa04542b3, 0xd75da84e, 0xddad135e,
+    0xf2e65ef0, 0xfea156c1, 0xb4727adb, 0xf4f87a49, 0xe384e1fd, 0xc474b3fc, 0x4d0121e2, 0x3a2ad94d,
+    0xb366973f, 0x829d80ac, 0x2176bbbe, 0x35add4a6, 0xbd114874, 0xc0a22e1c, 0xd887aab7, 0x6c2e57e7,
+    0xc1477877, 0xd96205ab, 0x071eb817, 0x0119224c, 0x49ce58d2, 0xc1fa9035, 0x9d176194, 0x516aaa86,
+    0x0ceb4269, 0x5a4c27fc, 0x8de5ba4a, 0x80ef62fa, 0x708b1016, 0x20de1a2b, 0xa0935c24, 0x7f9839e2,
+    0xd88052e3, 0x1daf18c8, 0x8c51876c, 0xd558ec33, 0x5d6e646f, 0xff8ea382, 0x1e65cc56, 0x9973013c,
+    0x4a6896b2, 0x0c9eb2f8, 0xd15674bc, 0x9372a651, 0x9fbcc4a1, 0x16c8d4a3, 0x3d740d19, 0xd52c4649,
+    0x114272f6, 0xabff53c5, 0x86ca5a7f, 0x14cdb07a, 0xe421c465, 0x85bf2e08, 0x7eaebfd7, 0xfa272da3,
+    0x1a6bc282, 0x67685637, 0xe53e58f2, 0xc4cc3ba3, 0xb6f93112, 0xda609c20, 0x51264ea5, 0x5d9b756b,
+    0xe065a1ac, 0xdbabf255, 0xbd1a8736, 0x9316bc76, 0x2226da59, 0x43b82d94, 0x1ad71e6f, 0xe56a267d,
+    0x0efb3911, 0x44305486, 0x5bee7e3b, 0x019d6441, 0x6390c1f0, 0xda4e0323, 0xf7716711, 0xfc7a4748,
+    0xf22ccffa, 0xdf76511b, 0xfa0c8ba3, 0x430227ac, 0xa0531cec, 0x72831d2e, 0x7a3f1857, 0xe8bb7623,
+    0x2886d7c7, 0xdb7bed44, 0xb7ca88af, 0x1c64302d, 0x7a6fe928, 0x6e168f4b, 0x81c0fe93, 0xc74fffd5,
+    0xfd6291ee, 0x88c6ac6a, 0x20a04f16, 0xb7c6f017, 0x7478ecfa, 0xf8a2d72a, 0x0c593c79, 0x8289434d,
+    0x1d0d3ed5, 0x70161562, 0x1cb048c8, 0x13e1524e, 0x7bb389d8, 0x2843dd1c, 0xfb6608ee, 0x6ea753d0,
+    0x30904707, 0x60e82fd1, 0xedf2b9db, 0x10c63b4b, 0xfeb65095, 0x93962158, 0x9e13c3fb, 0x12e813ca,
+    0xafa22920, 0x397d2cb1, 0x9cea4499, 0xdb4127f6, 0x3b16ec8e, 0x446ba6f5, 0x78fd7675, 0x1f2e5eed,
+    0x6d67d483, 0x73721488, 0x0107c60d, 0x42421653, 0x538b9196, 0xd4db1d45, 0x342a0e2d, 0xd9b278e5,
+    0x5d34211d, 0x7890efb1, 0x9efe5014, 0xbbc1d274, 0x0ec1b8e7, 0xbf2762b2, 0x49363d7f, 0x2f3cadf0,
+    0xccde2e1f, 0xbcfeec04, 0x57a5bb3b, 0x1b11bfb5, 0xcb188868, 0x6c100e8b, 0x57df13f0, 0x186d307d,
+    0x2178ade9, 0x03cc983b, 0x5236b530, 0x047b0b38, 0x59643224, 0xecb1b2e8, 0xeb204b2d, 0x021d7740,
+    0xc34548b9, 0xe3788e8b, 0x93389b59, 0xfb1dddd6, 0x61b56f5b, 0xfd203eed, 0x910e0564, 0x8772581d,
+    0x9249ff55, 0x09b88b7e, 0x776189f4, 0xcb401c3b, 0xab76166c, 0xb250d0c5, 0xb58f9ffe, 0x4a743546,
+    0x364516ca, 0x912ef99a, 0x7633dbaf, 0x6193cfa1, 0x3adcee4d, 0x28f638d4, 0xcbc8da4d, 0x5dd98674,
+    0xcf775cbb, 0x6899b989, 0x0e01c160, 0x6a2ec5f7, 0x52e4bacb, 0x7ec9985a, 0x3da121f7, 0x2bcb7a54,
+    0xc31d55bd, 0x593085ec, 0x3cd0f481, 0x7b961ded, 0x062e5195, 0x07fa92f0, 0xb1f058af, 0x627fbb8c,
+    0xd1228e7e, 0x36b2f2b5, 0x01f6e470, 0x1fa44744, 0x4107575a, 0x0b649c22, 0x73b47173, 0x8fcd585f,
+    0x53907c9e, 0xeac819c2, 0xb35eecfd, 0x25d1648b, 0x64d6e428, 0x7b54fe06, 0xda8e3269, 0xf367f77c,
+    0x60f45740, 0xedf0286e, 0x6c60ba3e, 0x5175c18d, 0x23062fe1, 0x955a29a8, 0x1aec4b0b, 0xd417e6af,
+    0x574476ce, 0xac932cd4, 0x899bd834, 0x52e2a09a, 0x3714160b, 0xdd2ba474, 0x1474250b, 0xe498262b,
+    0xff1ab8ef, 0xa670304b, 0x141c8a17, 0xa70416c0, 0x26100eff, 0x92cbf09d, 0x342e225d, 0xc9e06f30,
+    0x665d6487, 0x7cd1c0e2, 0x00b3f3f4, 0x78bee73b, 0xea780d84, 0xc5fdee33, 0x1f6d3fe4, 0xd6fe05d3,
+    0x2cdb5d20, 0x78d39bda, 0xd0a77e39, 0x07da0df2, 0x8576bd88, 0xf65ec528, 0x40eb1fc5, 0x052914c4,
+    0xc21595bf, 0x4edb021f, 0x20037496, 0x0aa68766, 0xe24f8cb3, 0xfed60c6a, 0x8e80c99a, 0x568daa3a,
+    0xad5d4cc3, 0x60db5893, 0x750ac922, 0xde2a3b25, 0x0496fc1d, 0xe3292c86, 0xad303a6b, 0x3628e402,
+    0xa9e8e6db, 0x8fc8c149, 0x92882db6, 0xd773f539, 0x44fbdc4e, 0x6624d7af, 0xcac77518, 0x8b707d9c,
+    0x5a2cd883, 0xc055e1ef, 0x1d30db42, 0x097a83d5, 0x49e14745, 0x5643bbe3, 0x6de2a09a, 0xe37e57ba,
+    0x19373453, 0x1d7c9c60, 0x2b48daf1, 0x8945704b, 0xed5b71d7, 0x1c1514c2, 0x44089ee6, 0x0b99cb90,
+    0x17d66f2c, 0x3fe3f327, 0xd2293dc2, 0xfcba1ef2, 0x473eb786, 0xf54bae66, 0x985851c6, 0x8279acb5,
+    0xf36c93bd, 0xac2c83f4, 0x8da57efb, 0x1153fdea, 0x82890a06, 0xe6fb1c5d, 0x8fcc620e, 0x19f29448,
+    0xe0fe0b55, 0x48b3784e, 0x20ec2be7, 0xedecb6d5, 0x8d35237e, 0xace7252f, 0xc9138ef1, 0xb98cc6f1,
+    0x16d7a605, 0xc1b77ac1, 0x51dcc270, 0x4fe327b2, 0x31d727dd, 0xa3ed0b40, 0xa81acabb, 0x89710054,
+    0x0607315a, 0xbde07823, 0x918106af, 0xfe210447, 0xb722e9ba, 0xcf88b74b, 0x58fe3202, 0x2e7cdc8b,
+    0x18e05e8b, 0x56e0a132, 0xa562db9f, 0x6a2eb95d, 0x5e1a5d82, 0xcb7ca80b, 0xf0044453, 0x17db172b,
+    0x0c4c076e, 0x120ed661, 0x00ad84b4, 0xdd2178c0, 0xda2dff17, 0xde5c3d0f, 0x3886b594, 0x121f61e3,
+    0x42eea429, 0xff8e9c24, 0x7a9f1be2, 0x46af7272, 0xf6fc463f, 0xb2416e8e, 0x74cb8280, 0x567b35a0,
+    0xff81b64a, 0x50e2786f, 0x3cabfad7, 0x569a9ec0, 0x0dabde6f, 0xf9286eaf, 0xb6b62a26, 0x18c01cdc,
+    0x7a0c319d, 0xecc5844a, 0x6b22534a, 0xf4e3bf7c, 0x5f1ac510, 0x5f010c9d, 0x6b1c387f, 0x831e9acd,
+    0x4059a50a, 0xd0ff23d4, 0xbb11560d, 0xf06165b2, 0x66fc0685, 0x70323a75, 0x5394fd22, 0x9bce7650,
+    0xaf60c29c, 0xd0fb8992, 0x3b1f5346, 0x6b3b0d4c, 0xe1f72fc2, 0x17acf99a, 0xa7ffbe66, 0xb1b247c1,
+    0x1d0bc3a9, 0x1c27f00d, 0x2ee3b137, 0xaec2a650, 0x81c127f8, 0x565e2c10, 0x2b0dbfc0, 0xb8cdb88d,
+    0x565db009, 0xd7841856, 0x5963d208, 0x917b0ab7, 0x42766068, 0x9ccaa33d, 0x388f484f, 0x1a459d5c,
+    0x0c88318e, 0x7a07d5eb, 0xb7a49707, 0xf242ed22, 0xb14d786b, 0x33773202, 0x51b0e996, 0xa229cf29,
+    0xf39ae35b, 0xc34f49d2, 0x3d37f7ca, 0x43332cba, 0x82061141, 0x7f7cab60, 0x58e81123, 0xd21b601f,
+    0x22c45cbd, 0x7a4c5e0e, 0x915301ce, 0x7ea7c5a7, 0xa2567258, 0xeb19df99, 0x9a4bb8fd, 0x87adbeda,
+    0x6cd272ef, 0xefa54a8c, 0xb77f408c, 0x2881c1c0, 0xd897ddd9, 0xc8e67318, 0x97bd3d97, 0x4a20619b,
+    0xd828b6b9, 0x6854da80, 0x303de93c, 0xf573b2c9, 0x7b1d1325, 0x3164de97, 0x31707c9a, 0x3c4e33e5,
+    0x33da279e, 0x14d3834a, 0xe9ee22e7, 0x1ef81bce, 0xce655999, 0x5d4d6658, 0xabc19ffb, 0x50e66ec2,
+    0x26469080, 0x93f1a617, 0xfb8a3b29, 0x57717a04, 0x65c81bc5, 0x88050133, 0x24d765ea, 0x2784b321,
+    0xe6f91f14, 0xf3617a18, 0x53da2b70, 0x73862a34, 0x9dc7f181, 0xbc0972a4, 0x0fc5c4a4, 0xce7cdd38,
+    0xddfd9cfa, 0xf8283300, 0x33cb5bd9, 0x9e2b64e8, 0x7a7d4fcb, 0x37c62c3f, 0xfcc6795e, 0xf77f042c,
+    0x4aca6596, 0x824d1d6d, 0x632ed0ec, 0xfc1c833f, 0xbad341e7, 0xa34b3e00, 0xb9aa9f9f, 0xc4847e78,
+    0x777a628f, 0x82bc90fc, 0xe9ec73c2, 0xe324dc4e, 0x6c75816a, 0xf52b4a3f, 0xb02764f6, 0x828d93a4,
+    0xb90d1425, 0x098dbaf6, 0x91ca9437, 0x24c19370, 0x39f33756, 0xd379b6b6, 0x65be5400, 0x58766961,
+    0x8d336e44, 0xe668a1ea, 0xe945753f, 0x3e297bed, 0x012801a8, 0x2a905a4c, 0x6b9b74ad, 0x59cc9aa4,
+    0x520acffb, 0x6d822b0f, 0x935a995c, 0x0d1592ca, 0x3be0b59f, 0x2f7cfd1e, 0x26ea8662, 0x660e5fdc,
+    0x4b483ac7, 0x5708f9b7, 0xac10b73a, 0xb6ad837b, 0xfa35f769, 0x0c2a8b08, 0xe0573861, 0xa94b11e8,
+    0x88def3d5, 0x4cd61ce0, 0x45e1717c, 0x0a027ed5, 0x172c42be, 0x1c3542cc, 0xa43409b9, 0x360c104f,
+    0xc72e0ac0, 0xc3f6c069, 0x9d7a2a43, 0x3cef810b, 0xc103bdd7, 0x4fb3a9a1, 0xa2469ec4, 0x01705ae6,
+    0xf4a1a8d7, 0x446cd08a, 0xb6abed0a, 0xa0416b6c, 0xde43cfb6, 0x5bc66479, 0xd4378f1e, 0x24588f40,
+    0x2c36482c, 0xe7980c31, 0xa86b7577, 0x76b0ef5a, 0x5cb5e950, 0xef92e68a, 0xa09be7ab, 0x418682b3,
+    0xa488fb6f, 0xa6f82539, 0x45fd9900, 0x6a96f3e9, 0x218a7fbd, 0x4ad0b349, 0x7fa816f6, 0x4f3bba49,
+    0x44a5e492, 0x2d1dd95a, 0x34a01c63, 0x07fd7f85, 0x9325eb91, 0xb2f8f8d0, 0x10ac4e48, 0x0f103ef8,
+    0xc5808436, 0xff890a63, 0x36ef2e83, 0x0788d10a, 0xea4d52a3, 0x8d363eaa, 0x08a8fc16, 0x04368385,
+    0xf3c7d7ac, 0x1e4ffded, 0x4a564a68, 0x06e0446d, 0xa135f43b, 0xdc71200c, 0x5c642e86, 0x94de6d6e,
+    0xfa41095f, 0x6e126d94, 0xd263c748, 0xa873059e, 0x5886aab8, 0x9bc0d6e5, 0x30c8cb1d, 0x3bf478d4,
+    0x8e07179d, 0x900039ab, 0xa37ca524, 0xe053da11, 0xa69a6c32, 0xa42dcad4, 0xa94ba926, 0xecf624f0,
+    0x4b310afd, 0x222e20d2, 0xb1163f39, 0xc12536f5, 0xf2a63b34, 0xdadbfc67, 0x1bfb0050, 0x35458770,
+    0x58a668fa, 0x69ef0c54, 0xe4254bc0, 0x766195dd, 0x555c8cb2, 0xedeefa58, 0x89a8eca5, 0x113dba1c,
+    0x90a2f5d4, 0x811a1e52, 0x8bf0be13, 0xbc3ed6b5, 0xc2bd2879, 0x2fbd5d3d, 0x16bb5f93, 0x41993457,
+    0x7c9eb768, 0x312fc637, 0x3eb230e5, 0x3c9ad5bf, 0x13f6572d, 0x7dd0dddf, 0xbdc6269f, 0x401a4d58,
+    0xa2699190, 0xc69e34d2, 0x821db2d2, 0x4eaf2619, 0x318244db, 0xe89ef171, 0x21737fe9, 0x586a86b3,
+    0xa66da522, 0x40b83bde, 0x18167020, 0x5741ef5c, 0x04fa5b41, 0x82486b4f, 0x7c1d91ef, 0x49b9ece2,
+    0xb780873c, 0x86f18a7a, 0xda2b469c, 0xcba27703, 0x0edf8429, 0xbd3bd1d9, 0xa38249c1, 0x7781909c,
+    0xe4e1660e, 0xa254ea2d, 0x7c37ffdc, 0x6bd6c0f7, 0xcd21d1cc, 0x867d01bf, 0x10285d31, 0x73082dac,
+    0x4da74d73, 0x3b2d555f, 0x0f55f098, 0x73dbf948, 0x0892a86c, 0x5e49f769, 0xcdd7266c, 0xf67ef91d,
+    0xff3c8d63, 0xcb8a90c6, 0x44780315, 0xad254ffd, 0xdbd4f668, 0x26107db6, 0x1b5eba38, 0x432c37d1,
+    0x8d695186, 0xb32c1728, 0x5c044bfb, 0x3d9654d7, 0x44d892be, 0x80c77bc0, 0xfbe11949, 0xb1cacb4c,
+    0x325b27a7, 0x5ea7dde0, 0xbd61e50e, 0xf4690e94, 0xc1b4f863, 0x8e69a5bd, 0xad0a227f, 0x2ea3183e,
+    0xde79873a, 0xaf016c2e, 0x9a53e760, 0x78817bf6, 0xf44bd345, 0x8de476fb, 0x248f97fd, 0x8da06a73,
+    0xd27425c0, 0xa0b7b1bd, 0x4eb8f5d1, 0xf75f922b, 0xb053dd94, 0xcd2454fd, 0xad9472f8, 0xb535c41c,
+    0x39b2a074, 0xaff6e614, 0x31e05dc7, 0x8dc5498b, 0xb8b8cb4d, 0xd380bab8, 0xe5b97582, 0x1cc9e893,
+    0xcf64325e, 0xd693fd10, 0xe0b10ad9, 0x834d1780, 0x55c7a664, 0xdf11a19d, 0x41bc6b7e, 0x1479993a,
+    0x2d1515df, 0x66832f79, 0xe8284acc, 0x60344cb0, 0xb17e8a12, 0xf66f432d, 0x233919f9, 0xf1271a70,
+    0x9df7560f, 0x07f5866b, 0x1a899cb0, 0x9dd1e118, 0x93af22db, 0xcf5554e9, 0x00715311, 0x34eae254,
+    0xa68a4e52, 0x214f0f45, 0x5a084f4c, 0x99457cf5, 0x60d0da2a, 0x2b4f1476, 0xb1bb919d, 0x3d307c97,
+    0x2b5ffdf1, 0xa024f44d, 0x1f734356, 0xa1864f65, 0x833f5e40, 0xb9fe36f2, 0x566249f0, 0xa682c9a6,
+    0x3b938c89, 0xe965c5d8, 0x77d44d41, 0x6cc9430a, 0x69d80be4, 0x1c6cbf92, 0x0bb61b0b, 0x15ee24c1,
+    0x00000000 }, /* 10**-00000127866820620943041797390222532328091883462579923557218339191069066255226\
+                          42205759980012773798148063113870651109873281527379754908382364816614564560896 */
+  { 0x00000000,
+    0x3fffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa3,
+    0x0f4c5f33, 0x5e042c45, 0x5c18b83b, 0x682a938a, 0x5e853d79, 0x4236ff53, 0x46b56601, 0xd3a65612,
+    0x00000000,
+    0xfb936c92, 0x8a49e290, 0x3ff7af0e, 0xd010a380, 0x6bd615f6, 0xaa6aef5c, 0x5dd12af9, 0xe7397baa,
+    0x2caf3ae3, 0x115b6bf8, 0x270860cf, 0x2fa64a54, 0x7dd31959, 0xadfec35b, 0x12d18f9c, 0xcf877d9a,
+    0x8c3afdd5, 0xf514ec8f, 0xf270d67f, 0x3f0ffe1f, 0x64dcc8bf, 0x0af73456, 0x1e14016c, 0x162ad2a2,
+    0x57aae280, 0x11165734, 0x0e1f19f3, 0xd6d93586, 0x68ca101e, 0x4371e6a9, 0x922fb7e9, 0xa3e549c6,
+    0x715fc6e2, 0xbac72dc7, 0x307d1282, 0x5075c365, 0xbf6bca96, 0x8fb8b42a, 0xf5181a9a, 0x4f4ce17d,
+    0x5ced335a, 0x6d8f8bc8, 0xfcf978c6, 0x3b766c9e, 0xa52bc765, 0x8b3b3633, 0x913252a7, 0x02299217,
+    0x7ece3d5b, 0x197513cc, 0x8015ca60, 0x041efab5, 0x97adfa4e, 0x08e9ee4d, 0xed3ca09e, 0xa34a4875,
+    0xaeb55419, 0x201d1cfc, 0x4f17cac0, 0x527f8d41, 0xceff664c, 0x5b96f058, 0x3ae939ba, 0xc41a2f9f,
+    0xbeda62b4, 0xb883a548, 0xd6302b88, 0x44af5ce3, 0x474d6e47, 0xbea68ec3, 0x5197c85a, 0x131ec283,
+    0xe9da481a, 0xd57233f1, 0x58db0a7b, 0xb42e1e97, 0xa728aa32, 0xa05f5b26, 0x2860cb94, 0x81d89ec1,
+    0x092ef26c, 0x04186350, 0x3dee0375, 0xcaf72c45, 0x931aeea0, 0xfdb0adb5, 0xd2520add, 0xddb68837,
+    0x2719a3d5, 0x16e87f5e, 0xe7a20d77, 0x0a227e27, 0x63d5ecb1, 0x85f7eb7d, 0x395a0b93, 0xd58fc90a,
+    0xac21e612, 0x8e03942c, 0x64004b3f, 0x2141df3b, 0x55cc8834, 0xa3a5ae97, 0x7b4da58d, 0x9bf65f93,
+    0x0c400d19, 0xb85b9c62, 0x39093744, 0x52cfe744, 0x5296bccb, 0x19f80cc4, 0x727156d3, 0x3845e715,
+    0xf500c635, 0x24a09413, 0xb7a1be42, 0xd8288ce3, 0x74f5aae4, 0xe0437e16, 0x269214e1, 0x9f8af2d4,
+    0xd86732d5, 0xb41cea5e, 0x30938bad, 0xf0d44c62, 0x33f44ee8, 0x030501f8, 0xf6544b9a, 0x735a9293,
+    0x492cfadb, 0x2e2cbb46, 0x2abea5ce, 0xb5b012db, 0x76444ace, 0xdab27937, 0xf19c8211, 0xa6165c5a,
+    0x73c06095, 0x0e4f3d14, 0xe926d007, 0x6ee00a14, 0x16db354a, 0xa4f4058c, 0xed84d016, 0x740e69a4,
+    0xdb1ced37, 0xaca351b1, 0x7374d8e8, 0xc8c986de, 0x5134d940, 0x2afc97ed, 0x746bed7a, 0x450319c2,
+    0xd763da14, 0x33c02a13, 0x6dc3762a, 0x56461d91, 0x541c4a12, 0x7e649f5b, 0xc709ebcd, 0x2a846ee2,
+    0x51dbc564, 0x3e3655c5, 0x30bfee6a, 0xb7dfc849, 0x578b5243, 0xb4c41fc0, 0xfa605e68, 0xa71dcd04,
+    0x37235325, 0x84f4153d, 0x7c774eee, 0xc52a1279, 0x415d4f8c, 0x2146aa0b, 0xa03ca322, 0xeba6157d,
+    0xe1bbc483, 0xb96f2f47, 0xe7cbc965, 0xd64bf0bb, 0x659368d9, 0xd7d4d1f0, 0xc46241b6, 0xfca4d117,
+    0xff46e81e, 0x777e9472, 0xd8081f56, 0x45c0d441, 0x36c82a2a, 0x6b2bc43a, 0xa855f62f, 0x40ae6ca2,
+    0x42330072, 0x9ffc554f, 0x5752b26a, 0x59d7e440, 0x22671252, 0xab0e80f2, 0x5e60fd15, 0x009e3ea8,
+    0xe9d6e9e7, 0x8eb7d17b, 0xe775830c, 0xde207e94, 0xab9b413a, 0x972cc691, 0x1779ead0, 0x1978dc6d,
+    0x097cc232, 0xa0be2d03, 0x126aa04b, 0x27473245, 0x2b3e88df, 0x5620d40e, 0x45e05c33, 0x171f1e42,
+    0xf31760d5, 0x7ef91630, 0x3dbf8995, 0x7d9f9d15, 0xfdb63a4a, 0x06aeba20, 0x1ba3ba7e, 0x00d01416,
+    0x5ef8d4bc, 0xafa0475d, 0x6be35349, 0xe786aa82, 0xd5cc582b, 0x3ca9c052, 0x434f7243, 0x5ecf0439,
+    0x39088a19, 0xec4baeaa, 0x4958ad83, 0x4ef90a79, 0xcc3a0932, 0xb8e67354, 0x46ee48e9, 0x4581f2d3,
+    0x78229f7f, 0xcc2fab64, 0x521163eb, 0x8498477e, 0x68ec5aae, 0x28fb18f8, 0xb92fcd1d, 0xf3e40f0a,
+    0x8e7bf154, 0x101289fb, 0x10005644, 0x209a346b, 0x6151798d, 0xc63117cf, 0x0d42de5c, 0x5b2b7ed9,
+    0x496f8781, 0x32a08231, 0xe50a734a, 0x02aa9d07, 0x0bf29e88, 0x441b6947, 0x46294035, 0x0727ff16,
+    0x39d14f51, 0xc2cbc331, 0xe56c3d77, 0xd7c26bc6, 0xcee54559, 0x32c32400, 0xcc2f0059, 0x54a6767b,
+    0xd8cce714, 0xfdf49a25, 0x822bfcba, 0x2c23d071, 0x88f0bfdd, 0x74eac791, 0xc194f035, 0x4ff13625,
+    0xf93c74a5, 0xee26cc62, 0x59a19923, 0xe7c9910b, 0x2bedd797, 0xf1f7e5ca, 0x39f66af3, 0x305b4c85,
+    0x3ae68bfb, 0xa99662ad, 0x11f92ca2, 0x716f8f2b, 0x4e2d41fb, 0xeab8edd8, 0x4ad908ee, 0x8ed6d2ca,
+    0x00480cc6, 0x88d12d9c, 0x0a3ba4eb, 0x95f32848, 0x6965e258, 0x88213163, 0xa416e1cc, 0x500d1b6f,
+    0x4dde53b8, 0xebc5bed2, 0x9dd85eb7, 0x57094ec0, 0x185ceefc, 0x561857ca, 0x56a22a9d, 0xfedce79a,
+    0x69124d97, 0x596b6678, 0xee7d0a37, 0x6f118ee5, 0xa52a2f9a, 0x3d3704bd, 0x01eda0ee, 0xe0df186b,
+    0x052bec0c, 0x5b56eaf1, 0x8e418afc, 0x03b48e7e, 0x1a632f05, 0x2f7cd27b, 0x05d9eb97, 0xa39f3b4c,
+    0xbb0be2b2, 0xf088f163, 0xd68c80da, 0x1e7a8eea, 0xf1bebdc6, 0x19e43b1f, 0x86e3bf40, 0x91fbb8e1,
+    0x03224209, 0xfb208af2, 0x8d15828e, 0x30fd5a7f, 0x23749f91, 0x9c3080d5, 0x8ed6e973, 0xc349729e,
+    0xceba05ae, 0xf65b55a4, 0x8afe9a88, 0xb45d3a6d, 0x8af30364, 0x9763b21d, 0x82783ead, 0x06cfff59,
+    0xc6d3befb, 0xe215e7cd, 0x03be7dc4, 0x436291cc, 0xba208774, 0x49468c82, 0xcbf74bd0, 0xcce5887b,
+    0x229d236d, 0x69c607df, 0x9bcbc8d9, 0x83856c20, 0xb0822d89, 0x1f63edfd, 0x6613c475, 0xc4bf88c3,
+    0x8d4e2732, 0x3b780d5d, 0x99d956a7, 0x8720ecf3, 0xfa2d7e78, 0x0d0066d0, 0x73c0d1e0, 0x5260dc6d,
+    0x671e4741, 0x4ee40f47, 0x45e96e52, 0xd2d922ff, 0xf2fa8bfe, 0x858f2912, 0x80e885e2, 0x43a6c684,
+    0x5c514745, 0x87a3235c, 0x96c473ad, 0xfe1113c8, 0x52b52065, 0x6ebbd90a, 0x423df862, 0x74f720ac,
+    0x93c77169, 0x3f950ff4, 0x29d19b2b, 0x741bf30c, 0x595d61ec, 0x3f01e332, 0x4191d6d7, 0xfeaa1209,
+    0xb983761a, 0xd35522f0, 0xe171bc61, 0xb58eb8c4, 0x63815472, 0x3b960c3d, 0x1ef27c6e, 0x8020dede,
+    0xf9c7ac6f, 0x14b067fe, 0x8cf2388f, 0x05df957e, 0x4081e7d8, 0xa96ce1a9, 0xb2c9a764, 0x9f0d6bde,
+    0xf304e4f7, 0xa2a165c2, 0x0453aee4, 0x0ecdaf32, 0x4f0e1d47, 0x74747e74, 0xb368aff1, 0xcfe6692b,
+    0x76e232d0, 0xd0dd6b4d, 0xee50e156, 0xa5c82f70, 0x29c27592, 0xea6ce0c5, 0x92bdf14b, 0x6bf5c864,
+    0x41f385ce, 0x47744939, 0x77c397de, 0x78dfce23, 0x05baa9d3, 0xc199442b, 0xce018e54, 0x01197879,
+    0xeda529cf, 0x86320402, 0xa9648efb, 0xeebadff6, 0xa0bb687c, 0xfbf0ec36, 0xde6602d6, 0xa002cca2,
+    0x67a18a73, 0xb11fa37d, 0x2faed34c, 0x861b9222, 0xb007e930, 0xb914c798, 0x70a75992, 0x676f5af5,
+    0xa3b5421a, 0x58a9a492, 0x81c4e89a, 0xa1ca0137, 0xb4c87cee, 0xc4ce1a11, 0xb3b9bc7b, 0x96e48d7d,
+    0x3828881b, 0x8d21b8ce, 0x4baf0e09, 0x424d9c38, 0x85996c94, 0x4253974a, 0x4b8b45fb, 0x08d35844,
+    0xff7dd996, 0x649f9954, 0xdda5416d, 0x1b87118d, 0x38724bde, 0x9f6b2a87, 0x63dd738f, 0xc4d88d01,
+    0xd38a16f9, 0xb057dfc6, 0xc9439e21, 0x7f6dfc32, 0x85dae5bc, 0x68a29e41, 0xc1688f37, 0xf158222a,
+    0xe194a8a5, 0x66ffb0f4, 0x3cbe14f7, 0x38e10d0c, 0x6ab5128d, 0x84d6e6f1, 0xc6b13732, 0xd8972547,
+    0x74ca30d0, 0xce894f2b, 0xfcf6bb09, 0x4ad38775, 0xd43f140d, 0x57160ae2, 0xe2b8fbf1, 0xde63c5d2,
+    0x088e28ad, 0x693e973c, 0x38414cf5, 0x804a6d4f, 0xa1767d18, 0x84570b63, 0xf37847fb, 0xa2b90339,
+    0x1f30fe8d, 0x8d658dcb, 0x8b7c9e8d, 0x0a373f86, 0xe94ea131, 0x2740a8f4, 0x9848be2d, 0xa588d4e0,
+    0xa4b42054, 0x8de85349, 0x82180bcf, 0x1d542e1c, 0x1e117254, 0x41bbd7e3, 0x5824bbf4, 0x9a8bedd8,
+    0x3083dc43, 0x820d0a89, 0x487d7fd7, 0xb3456dec, 0xcb311f2f, 0x5b83180b, 0x585c76a5, 0xa60d1be0,
+    0x115962da, 0x18770967, 0x1aa75dc9, 0xaa31444f, 0xedbb5c65, 0xa6431f41, 0x6d086df3, 0x9fc02e0c,
+    0xe2970475, 0x17891808, 0x1fabc3e4, 0x8eef9808, 0xaf802b6a, 0x34f34036, 0x73614f8c, 0x492571c8,
+    0x856d2aab, 0xecdbe04c, 0x4369437c, 0x0625f013, 0x60b94581, 0xd48fe6c7, 0x7f9ef339, 0xbbb007e9,
+    0x66fce5c3, 0x06d885da, 0xd2a46905, 0x43c455a7, 0x1a76307c, 0x2eed0fb8, 0x02b4eddf, 0xb4cd626b,
+    0xfe39c5d6, 0xa9d6c01e, 0x1e10befb, 0xd0c3535a, 0x3cf9c07d, 0xcee81dfb, 0xd233db01, 0x0f06c9fd,
+    0x7058a282, 0xd0cccc83, 0x2e09ffb7, 0x9e9cbc2a, 0x97daedfa, 0x8ff7c83a, 0xa012b663, 0xc6286ba3,
+    0xda46d254, 0xc2cc85f7, 0x6f664e90, 0x7d42ba7e, 0xcc7816c1, 0x0d6aa6e1, 0xa855c8fe, 0xfa4e9a3f,
+    0x8172cb2b, 0x65b4c931, 0xf3468226, 0x8f017405, 0x53071a0c, 0x28be3cb9, 0x24ab7a6c, 0xf3988993,
+    0x72117311, 0xd8eb1182, 0x9392774e, 0x07c384a0, 0x4c383da7, 0x5720b42f, 0x337bed02, 0x974d1cea,
+    0xadb3f4bb, 0xa15a99cc, 0x219a1b2c, 0x06fd792c, 0x059e80cf, 0x09696e51, 0xed4bf072, 0x99f377ec,
+    0x2735c342, 0x7e0611b3, 0x97fa067d, 0xb2116c5a, 0x1a0704c2, 0xe37c7b67, 0x378f3952, 0x877f9196,
+    0xe9bba9c7, 0xb8036e29, 0xdb369c89, 0x06135df3, 0x3b99f0af, 0x73ac0865, 0xd5b43904, 0xd2daa137,
+    0xab6ca780, 0xadb4bac1, 0xcf64aa6a, 0x7a0f2d0f, 0x9e6c1277, 0x0e4c416f, 0xf4340c61, 0x8b2baaa6,
+    0xf9fdaa38, 0x9896f481, 0xde4fa504, 0x2cf94c25, 0x8db4cdd2, 0x3eaceff3, 0x562708a1, 0x719ea320,
+    0x5ec543c1, 0xabcbf287, 0xa9a8f68b, 0x3a27c67f, 0x0f9ade78, 0xef4d1459, 0xd440306c, 0x62f83e2f,
+    0x894303e2, 0x5b599c4f, 0x52f01a99, 0x5f541a61, 0x6886249a, 0xd884a45e, 0x08cd74e1, 0x418fd74d,
+    0x1fae68b1, 0xcce3f6a7, 0x8dbbc164, 0xc36fe582, 0x5f0347bf, 0x2f17303a, 0x98bc362c, 0x805df873,
+    0x488961e5, 0x2c54e1ac, 0x249e402c, 0x6ad937a8, 0xac844950, 0xd2fe5e1d, 0xf577dc9c, 0xd96fbb3d,
+    0x6fdca1d0, 0xea72600b, 0xa9393ed4, 0x6d52057f, 0xef737af7, 0x2c69756d, 0xd40f6d16, 0xec3c888e,
+    0x17902522, 0x8fc0d345, 0x7c356599, 0xac326441, 0x08768bf3, 0x2c5252cd, 0xbb58783b, 0x0baa94c5,
+    0x40fc2210, 0x1192788e, 0x20161687, 0x2d31aa62, 0xed88987d, 0x00b5df62, 0xc9ad7e52, 0x1cfdc79c,
+    0x85cad2a9, 0x9ba76ec6, 0xef7a0cb4, 0xcf6dd410, 0xff9c0670, 0x58824bfa, 0x126dfffc, 0xee35bf16,
+    0xb2a96eb0, 0x3d64fcd4, 0x01b8ce76, 0xa3d32e6f, 0xb7858f38, 0x83e8fb5b, 0x7a773bc2, 0x5b88df36,
+    0x73d770c2, 0xe57ae6d5, 0x3fab2555, 0x394a5115, 0xa3fbfa9a, 0xb0b05cbb, 0x0adaaf97, 0x188225e5,
+    0x857930ab, 0x0b01ff01, 0x244d27fe, 0x14cdb76f, 0x29221a90, 0x5c20b9dd, 0xed80d996, 0x90ca6d05,
+    0xa6e6f382, 0x7c394349, 0x56e9ae68, 0xf37bcb60, 0xe568dd06, 0xbce702c3, 0x9aebad44, 0x7c6ebd05,
+    0xb217cd40, 0xd27c1575, 0x7d29ce0f, 0x448c22eb, 0x292a2575, 0xc93cfa22, 0xb79bde07, 0x19a3eb13,
+    0x0bd625b0, 0x4a9996a8, 0x9687daf0, 0xcbf64864, 0x3c9836e1, 0x722d7b85, 0x7d1a7fa5, 0x108ac04f,
+    0xa6346df0, 0x635631ad, 0x1c5f263e, 0x22349135, 0x466d09a2, 0x0d389acd, 0x5a923082, 0x34b8aa22,
+    0x93c59dae, 0x801cb879, 0x5309c57a, 0x2106b056, 0x75b90a59, 0xc4622887, 0x510f0429, 0xd2f77982,
+    0xd528d791, 0xd62904d1, 0x9d60dead, 0xfcfb6c9e, 0xe1e6f6ef, 0x058ecb4f, 0xd5752488, 0x544359ba,
+    0xb4b5911a, 0x89d13438, 0x9ed54799, 0xec326cdd, 0x5766eb57, 0xc0df88f5, 0xcd43ebc3, 0xe76203f6,
+    0xb535589f, 0x5aced4dc, 0x568b2b0f, 0x4363b4ed, 0xda74ec94, 0xd450c369, 0xf6ef71ab, 0x1536ef27,
+    0xc1c5699f, 0x0c4797a3, 0xfae964e1, 0x19f3484c, 0xb25a3204, 0x7f4e13b9, 0xafc6315c, 0xcb3728d1,
+    0xeccf5998, 0xb3dc915d, 0xe8143373, 0x071ffd60, 0xee10f72e, 0x8d1bfb87, 0x9babf062, 0xfd779355,
+    0xadef5fb4, 0xa83ed2b4, 0x5d7be56e, 0xbd53f48f, 0x7f07d5c7, 0x82260805, 0x285ac3cd, 0x6bd7de31,
+    0xc5fe7eff, 0xcad9a8b1, 0xae33465b, 0x147eea26, 0xc808732f, 0x0b2eebd5, 0xb030ddaf, 0xf9380885,
+    0x1bf6e4b1, 0x95df97c6, 0x0462ca86, 0xaa5c6f06, 0xe2913b33, 0x46d91f85, 0x1843249e, 0x6ef99500,
+    0x380f2d74, 0xc7fe94b2, 0x24367dfe, 0x12b9b291, 0xd4eb027d, 0xbee92c56, 0x44fb5ed4, 0xb12132bf,
+    0xfc54c7ce, 0xb449b713, 0xee631695, 0xf194030d, 0xf2130df6, 0xd5d813aa, 0x2c57da80, 0x67956125,
+    0x061eb819, 0x36fa53fa, 0x1116e528, 0xebceb456, 0x47cbd383, 0x5077e107, 0x5f72932d, 0xfac937a4,
+    0x21d1f8c0, 0x6c7dc9ed, 0xde7e824c, 0xf6c3d6aa, 0xb75a55cf, 0x0ba7a4be, 0xd354674a, 0xc785a328,
+    0xc6cf73e7, 0x7ef68df3, 0xe2be2cee, 0x98c1288e, 0xe7fff3a2, 0xa35ad206, 0x075318bd, 0x7dcdfc6c,
+    0xe5dc22b9, 0x5f9e5884, 0x5175012e, 0x145e44e2, 0x9c0b551a, 0x7272646c, 0x89fda4c0, 0x72ee05a0,
+    0x2c6aa8ce, 0x633187f8, 0xda5c32ac, 0xeab8c192, 0x38c171cb, 0x1907208f, 0x6df44aaf, 0xdf0a608d,
+    0xf474dfd6, 0xdde9ebe9, 0x7a2a4bd2, 0x337cdea5, 0xd6b597ce, 0xbac4f6a2, 0x2a964f40, 0x1160eb4b,
+    0x7f78e6a3, 0x429ab66d, 0x9aecdcca, 0x01952832, 0x1d064914, 0x5ee89224, 0xe49735a8, 0xebae07d8,
+    0x4d462c21, 0xbe0de60a, 0x4cab94fc, 0xa25d4955, 0x931ec8eb, 0x6e1ded26, 0x990bf20a, 0xc1554d59,
+    0x9fa59644, 0x4939eb4e, 0x239d77e8, 0x11e36a52, 0x99ac7b7a, 0x9ef30930, 0xa2461af1, 0x87d9d8fd,
+    0x66fdbacb, 0x0ba99bae, 0xb65a1666, 0xc211f736, 0x56162b7c, 0xbde60afa, 0x63fb9756, 0xd2aaffef,
+    0xa632b022, 0x2d0c09d5, 0x2714d2a8, 0x1af3d915, 0xca63b803, 0x7da6d6c4, 0xac3498c8, 0xfce73503,
+    0x7e5022cb, 0x04e74f8c, 0xbb515a88, 0xbfd03352, 0x11924cce, 0x7d35bee2, 0x6d042553, 0x9b5876e5,
+    0x02c80380, 0x6ba89d46, 0x2777f792, 0xb9cd951e, 0xf5b27477, 0x6991c530, 0x486c3dc0, 0xfa4f3c83,
+    0x829a6b4f, 0x5cfc4197, 0x694cecbd, 0x89353f68, 0x0dd7815c, 0xc0011163, 0x6a1b8490, 0x1ddb6d6f,
+    0x090c3e8e, 0x716df7dc, 0xc93e1b3f, 0xe8487375, 0xcdef67a3, 0x18c85b62, 0xb84ca311, 0xe7f257b3,
+    0xf5215a7c, 0xc5f60eea, 0xaab37f0f, 0x31da400c, 0x136a1ea2, 0x8cc3b95e, 0xb398bb65, 0x9de81451,
+    0x0ca4c3fb, 0x91576fb8, 0x2465ed86, 0xf3ecd2b9, 0xc34c9672, 0xd53a48dd, 0x311a22d7, 0x67ac7642,
+    0xf8b00d61, 0x3c067550, 0x4081126e, 0x9a84c813, 0xa463ac4b, 0x22d4105c, 0x36949061, 0x954e3169,
+    0x45041b94, 0xc2714f95, 0x56be3502, 0x59f2346b, 0x6617df64, 0x5bae09b6, 0xc39b8228, 0x4fe0664f,
+    0x00000000 }, /* 10**-00000063933410310471520898695111266164045941731289961778609169595534533127613\
+                          21102879990006386899074031556935325554936640763689877454191182408307282280448 */
+  { 0x00000000,
+    0x3ffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d1,
+    0x87a62f99, 0xaf021622, 0xae0c5c1d, 0xb41549c5, 0x2f429ebc, 0xa11b7fa9, 0xa35ab300, 0xe9d32b08,
+    0x00000000,
+    0xfdc73e7b, 0x9e47b071, 0x3177506b, 0xf574d254, 0x27ba90c8, 0x54f30d7b, 0xf081a755, 0x5afa3b50,
+    0x59a799a8, 0x25aa7410, 0xb3b075ba, 0x2614aaa0, 0x5089d34e, 0x0f448681, 0xe1806dee, 0x95f893f8,
+    0x98b11f66, 0x4857dc74, 0x12b227e8, 0x746294f8, 0x04951980, 0x11e796d0, 0x0ba3b1a4, 0x7c8dc65e,
+    0x50fafce5, 0x626f8341, 0x81e6756f, 0x5f24ab9d, 0xd0d26999, 0x6dea3ac2, 0xacfdba73, 0x8483335a,
+    0x54b97c2c, 0x37bf5ba5, 0x0070a783, 0x7b2e8f4a, 0x304bbd7e, 0x6916cfa5, 0xe009427f, 0xcd560a81,
+    0xfabea2ee, 0x8acd0d42, 0xd379dc5e, 0x414c4510, 0xe6f39fa8, 0x7296055c, 0xf207405d, 0x1fa8a5b9,
+    0xf3ff2f7c, 0xc663fa6c, 0x7d332162, 0xbc0a0e09, 0x02633aa4, 0x2ec76e2e, 0x205d28e7, 0x61d67b8f,
+    0x65f5446e, 0x4277bcae, 0xc4229406, 0x6af4a2e3, 0xf35cec0a, 0xdd404c1a, 0x66e1186c, 0xc848e865,
+    0x08d8cae9, 0x6053c365, 0xaed36632, 0x9e91776c, 0xf11a2e95, 0x38361495, 0x5c779c9c, 0xe6b96e2b,
+    0x447297ca, 0xb0f328e9, 0x357697cb, 0xb1f9f825, 0xabb7f247, 0xc6324877, 0x8d061219, 0x5aa823d4,
+    0x76945fcb, 0xeb79e2eb, 0x2f869f42, 0x0bc5bfb1, 0xe095e414, 0x2cd68abb, 0xb815a1de, 0xcd05c44e,
+    0xc6c29a69, 0xad110a99, 0xaabdfb04, 0x87d4984f, 0xc0dd044d, 0xc37c4771, 0x1d6f2908, 0x4a760bfc,
+    0x691ef269, 0xfcb224d2, 0xc47c1541, 0x1ec188fe, 0x973532b1, 0x2276ab3d, 0x79b69aa0, 0xc84937a9,
+    0xe194b240, 0x74285ff7, 0xf4b4ce76, 0x4b7dc872, 0xe04fa249, 0x9e53961b, 0x803687ef, 0x3b34a475,
+    0x2a8e2bf6, 0xfa272d07, 0xebcb91f9, 0x8cbff775, 0x2dc7cc16, 0x9e6a2d40, 0x2fa86359, 0x3f10d8da,
+    0x56d1373f, 0x7818a3df, 0xe87eec2a, 0x585af9c8, 0x25f0421e, 0x166ae9e0, 0x094bcb90, 0x88ad6504,
+    0x09322a1e, 0x832bcaed, 0x284e7e36, 0xc8105fcd, 0xe7a4a18a, 0xecf5f275, 0x64a0df72, 0x6a02fab9,
+    0xbaea9d1b, 0xee9ffb92, 0x0799d526, 0x55faf4c8, 0x7c31719c, 0xdcb73f70, 0x2e31541b, 0xbb439c79,
+    0xcf0555dc, 0xd317b2b0, 0x81bf67f9, 0xc45e6f28, 0xd71e1b13, 0x5a0c2cc2, 0xdb150d7a, 0x4dc0b8e7,
+    0x4038b484, 0xe6d0a741, 0x960d4a93, 0x604171f2, 0xc6d7ca17, 0xa8198940, 0xafeb3be3, 0xec0804cc,
+    0x85c61a81, 0x272519c4, 0xb1ea0c50, 0x7f3a7113, 0x6a90088f, 0x222e0917, 0x2b3ff6d9, 0xfd9a9ae1,
+    0x310979ce, 0x160f374b, 0x628fc4de, 0x9d41c39c, 0xb6a173cd, 0x8c5124f4, 0xf50908bc, 0x9150c9e0,
+    0x822c0623, 0x9bcd6310, 0x6088ab00, 0x7f853101, 0x76d85389, 0x58c0dd15, 0x85cb411f, 0x73ccec6d,
+    0xca75533a, 0xcfcc3197, 0x22430d76, 0xe1099737, 0xbcb5f2d4, 0x0d3d763b, 0x527e4fa6, 0xa312fcbb,
+    0x8b0e5265, 0xf9baca24, 0xf5016ea9, 0xe9ed8e80, 0x12c66327, 0x7441e202, 0x7298d5b5, 0x7a77a042,
+    0xacdd0294, 0x460a4429, 0xae11767d, 0xff98151f, 0xf5fafbbd, 0xc31d88fb, 0x9f50acb2, 0x4190f4a6,
+    0xa9a60d7b, 0x4b32ca04, 0xb43d3001, 0x09a23bd9, 0xf7eb0d7b, 0xb6a3f048, 0x3f41f3e5, 0x16ef1af6,
+    0x07cd0e1d, 0x69232d1c, 0x8ef8ec15, 0x6f5f0d3e, 0x94363a81, 0x00388638, 0xfe5ddc32, 0x430baf6e,
+    0x4899cab2, 0x89229cb4, 0x6bc53900, 0xa85ec5d7, 0xe1fc85b4, 0x527d548f, 0xd3788295, 0xd2f3db20,
+    0xc7db1fa6, 0x3c315b44, 0x39fcbf9a, 0x5f2bb8ac, 0xe92033ee, 0x0d578230, 0x0dc99955, 0xf7f44c50,
+    0x86f83877, 0xd698e937, 0x41256803, 0xe9f63f1f, 0x416e0cf8, 0x7a348280, 0x0b841312, 0x540f471f,
+    0x0d21a54b, 0x1a9c911d, 0xac440308, 0xa2e416c2, 0x0c8b76c8, 0xee1fa012, 0xbc365352, 0x34678049,
+    0xed67a695, 0xbf5bab05, 0x257e364d, 0x316fdbc5, 0x90a3ae16, 0xa23cc9e2, 0xb9a9c65d, 0x512a0878,
+    0x5c45b356, 0x0ba363da, 0x362f5e37, 0xda57f1e0, 0x34a22197, 0x0973f04f, 0xa8a19838, 0x00136534,
+    0xda392b9e, 0x63649a52, 0x8057fb7a, 0x2b3d0e46, 0x9f91b700, 0x595a0033, 0xbfc31ca3, 0x28a10f68,
+    0x2c36986c, 0x5394bfc4, 0x1d73efd5, 0xae1a7b9a, 0x1fa3842d, 0xe9c3dcd3, 0xddc80a85, 0x5091797f,
+    0xa7e40aa0, 0x7d9e342a, 0x14ea4157, 0x3cbbd2ad, 0x074e1d2d, 0x1410c18e, 0xf2ca1878, 0x1158d674,
+    0x60b88797, 0x4aa05423, 0x92fc3c99, 0x0339a05b, 0x486a43eb, 0x1c4f6bc2, 0x54e8a15f, 0x05156c20,
+    0xbfcedd9a, 0xd7adacdf, 0x36382eda, 0x5744c0d2, 0x976b51ff, 0xd408b8fa, 0x78abfe40, 0x79012485,
+    0x10a275d5, 0xab8814f5, 0xb8104a70, 0x477ad407, 0xc603b31f, 0x88791742, 0x168b2404, 0x252d03bb,
+    0xcfa0a22f, 0xc4d934b2, 0x6a4550e8, 0xf31016d6, 0xa2462371, 0xb2c3cabb, 0x95cb556f, 0x32a3b6e7,
+    0x3bf2652c, 0x56b31522, 0xd6b2d55c, 0xda7e7222, 0xc033e119, 0xebbbb0a4, 0xddc1ed3d, 0x2cac67c3,
+    0xea620bad, 0xcc5f6627, 0xa5cd0f0d, 0x3c1dc155, 0xeedd2b64, 0x5395d7be, 0x53f70944, 0x29672653,
+    0xe6148682, 0x4f6b0305, 0x4982c8b9, 0x67cbff05, 0x98f6958f, 0x545fc9f7, 0xd1717e23, 0x82346560,
+    0x93e28636, 0xe7c03a37, 0x30d9c87a, 0x48f7fc40, 0x62f8b7cf, 0x69de8d8a, 0x6274e902, 0xa16328d0,
+    0x598e2375, 0x6385bb5d, 0xc7fd4cc3, 0xab9a1aa1, 0x0ea26f2e, 0x51665fae, 0x826e519f, 0xb3519017,
+    0x7dffe37d, 0xb003a6b1, 0x56330ba9, 0x29b3966c, 0x94543ef5, 0x403a4761, 0xb7fb6e11, 0x6ac3d02e,
+    0x2ea0e870, 0x7a369dfe, 0x83600cf0, 0x4b43f2aa, 0x3f684eba, 0x4c5f00c7, 0x3598a0bc, 0x1d7ab50c,
+    0x09e5c02a, 0xaa146b77, 0xa176e87c, 0xacc8efd3, 0x9a69de74, 0x85eef1bc, 0x14bf84bf, 0x8313a9a3,
+    0x89938c7b, 0x7d1c30fe, 0x7fa5812d, 0xc2455392, 0xde03704a, 0x09c53e5d, 0x5920cccf, 0xffadccd3,
+    0x9bf130d9, 0xc2d01151, 0xcee4f3da, 0xe27e0394, 0x6109a644, 0xea8e036c, 0xd96cc842, 0xcb186214,
+    0x7edea3b0, 0xbb3889b1, 0x3669538e, 0xa32c5567, 0xebb1b608, 0x7ae1a955, 0xb949dce4, 0xd0fde6fc,
+    0xc1cac53d, 0xb4f250c6, 0x180a1a80, 0xb3cba437, 0xd71fa721, 0x401c885d, 0xccf3f152, 0xe9b347e7,
+    0x95ce29a8, 0x95e66ac6, 0x2da07d58, 0x125b5a1f, 0xf97f47f8, 0x574a60f9, 0x8d848476, 0x44657f94,
+    0x1d4ec1d1, 0x49fda2b4, 0x24d8e987, 0xaca5f40d, 0x361c4c7e, 0xc01b4f31, 0x549580fa, 0x00d48f3d,
+    0xeb7eea0c, 0xad282d55, 0xb2c3bd2e, 0xc25b8acc, 0xf2cfc7fc, 0x3dd70026, 0x5e654b78, 0x783b40f4,
+    0x29f34c6a, 0xb13e5f5f, 0xf8504f1d, 0x59e408d9, 0x10773422, 0x19823961, 0x03c41725, 0xbcac8141,
+    0xa22f28ba, 0x51c0ffc9, 0x943b949f, 0x729f3cfe, 0xee446590, 0x30db54f1, 0xe14395a4, 0xb3ee0709,
+    0xd0d4e072, 0x0393cb0c, 0x17f3b5d4, 0x200f8bab, 0x89c465ec, 0x5b0f7ca6, 0x34f82a79, 0xda35d492,
+    0x94677cf0, 0xba3b602b, 0x7709fe7c, 0xcbd5928a, 0x0382e4a2, 0x297292c6, 0x077a1abd, 0x9cb9befb,
+    0x71c46c29, 0x353f66aa, 0x41274881, 0xf03e175d, 0x3feee702, 0xb331617e, 0x9c608050, 0xe7178144,
+    0xf321105b, 0xfda3b441, 0x347feb00, 0xc72251e7, 0x5c197d6e, 0x389f2918, 0xa7dbb4e2, 0x0c235823,
+    0xd00116ec, 0x5eec0336, 0xf87be346, 0x83f470cf, 0xa7ba097e, 0xb70064f5, 0x31824125, 0x5ecea096,
+    0xf3c89240, 0xba356afa, 0xe21b198e, 0x8078a896, 0x0b6ea300, 0x7950354e, 0x17bdad02, 0xa0bcd681,
+    0xb075fa42, 0x7b6b7099, 0xd8ed33cd, 0x8e0d6fef, 0xd1baf902, 0x5bff1282, 0x8f8ec1dc, 0xaf143340,
+    0xc45ca935, 0xf929942b, 0x5fc29041, 0x379cc68e, 0xe3d3fe37, 0xaa7fab6a, 0x96b15133, 0x2b58ad75,
+    0x8a31f3c2, 0x68e496a2, 0x07223f84, 0x5b15a25a, 0x224618ad, 0x232d0ce5, 0xf42eb2d0, 0x199e96b9,
+    0x71188ee6, 0x1360c552, 0x56ec753f, 0x4ce85898, 0x669970c6, 0xfc7283c7, 0x570bb4c4, 0x38fb3f5f,
+    0xb9d74525, 0xdd0d1c22, 0x90ff244d, 0xb07f8951, 0xe95f41e2, 0x0c71c08b, 0x5bf63953, 0xcf857fab,
+    0x0db31a66, 0xf33e95ba, 0x838eefd4, 0x56571720, 0xa09c8c5a, 0x8b21e7ca, 0x759aceba, 0x5d7621f5,
+    0x3299b081, 0x36eb5ded, 0x2b87bb29, 0x97e38df6, 0x715315fd, 0x73dc2194, 0x850df527, 0xb4e77481,
+    0x26f9dbba, 0x75984c31, 0x45cca5e3, 0x41099cac, 0x5fe2e5c8, 0x25bc1e59, 0x4289c8c9, 0x204fd667,
+    0x8588f392, 0x60696a20, 0x0b928637, 0xb9aadf35, 0xfa9b73c5, 0xe206592f, 0x8c1f7256, 0xd94abae4,
+    0xc12f6c2f, 0x46e700d6, 0xd6451be4, 0xbb29a30e, 0xab0727ed, 0xf200d46c, 0xa164002e, 0x288d780a,
+    0x063cd392, 0x31ba3c59, 0x2e030ddb, 0xf8bc1481, 0x2b599587, 0x794ead9a, 0x56dd5bd0, 0x40d6e8b5,
+    0xf0f797d3, 0xb2ca06b6, 0x946e6b95, 0xce154792, 0x51d5cf6f, 0xec5bd81f, 0xbc7d830a, 0x704fbbcb,
+    0xe6e4d88a, 0x2105141a, 0xdfc0ea99, 0xffd85d64, 0xfe686c21, 0x569de776, 0xc3150c18, 0xe2bd1837,
+    0x9ee738e8, 0x997a4d7f, 0xe946e80b, 0x59e267a8, 0xddee9ef3, 0x61f08f1d, 0xf5ac9acc, 0x8eb37b51,
+    0x0e569abc, 0x54e6dd92, 0xb0529b2b, 0x71d94f43, 0x01637471, 0x99373133, 0x3a4aea41, 0x6128a423,
+    0x46e7dadc, 0xceda871b, 0x181e997d, 0xa8473f0b, 0x0d8e5214, 0xefeee486, 0x20cc869f, 0x97925c49,
+    0xff16953a, 0x108577a7, 0xc4df722d, 0x77640e11, 0xa9b37251, 0xa66fc4bc, 0xc49ffdd4, 0x19e5fd62,
+    0xcf16064d, 0x3ae2bb99, 0x8f25bd7d, 0xf9ab9594, 0xef098d17, 0x6227f972, 0x3b753561, 0x6109ce33,
+    0xcd811935, 0x270038b7, 0xb5b808ca, 0xf0c82859, 0xdbfef5b2, 0xc4b04eff, 0xb115ccb6, 0x4eff3bbf,
+    0x3530c0c3, 0x8d1b5f51, 0xaa865461, 0xd7261648, 0x2eacd253, 0x6105e877, 0xaad6ce51, 0x733d8cb0,
+    0x8ac7b99b, 0xa980043f, 0x0a200bb2, 0xaf2db920, 0x40215928, 0x2a65c60f, 0xb69fe68f, 0x9a716f71,
+    0xfd413a21, 0x360367b5, 0xc605169d, 0x5cda9228, 0x1d7c8095, 0x6bc6fc31, 0xf7a0e702, 0x15f2942c,
+    0x53d04938, 0xa84fbd9e, 0xc366bd2e, 0xea50b84d, 0xa7e5a4fa, 0x46df963b, 0xf94c7986, 0x6a6d6992,
+    0x538fab52, 0x28612570, 0x3d49cfe9, 0x25564b71, 0x18b60147, 0x81e5483b, 0xb14816cc, 0xd703b194,
+    0xc94c7994, 0x35a01896, 0x6927acac, 0xbc5c85a2, 0xd0258bb2, 0x0d264117, 0xedb21405, 0x43654058,
+    0x84d227e8, 0x25a832b3, 0x84bc1a0e, 0xa0988446, 0x46e369fc, 0x4ca58323, 0x14e4a5a9, 0xe1a50313,
+    0x643a6c37, 0x9de2628a, 0x60bbfab0, 0x2a158591, 0x7cdaae0e, 0xdfce8495, 0x9b648b42, 0x24bb0ccb,
+    0xdcfab4c0, 0xe6662be2, 0x313f71bd, 0xf83b2186, 0xe73f845b, 0x5929232d, 0xb1f2ec24, 0x26f3a179,
+    0xe55af16e, 0x283b44cb, 0x53772957, 0xd2a2406f, 0x9beb45bd, 0x7eefe5ac, 0x565153fe, 0xd96eb4a0,
+    0xaf3b669e, 0x1a614a7f, 0xf73a0161, 0x37d2a286, 0xecced938, 0x07bddbce, 0x708aaaef, 0xcf2f8084,
+    0x37a0d6d0, 0xbef87e46, 0xd2131305, 0xb175d8b3, 0x5b1a68a4, 0x58df1ddd, 0x58edb7b5, 0x06aa4ced,
+    0x9981a40a, 0x878e4dfd, 0x458477c8, 0x033e8a54, 0xd36acd78, 0x0989a70b, 0xfb5b9795, 0xaaa9daaf,
+    0x47fb87f0, 0x660b42c6, 0xeb0f0db2, 0x28417c63, 0xbf651106, 0xddfb0ce2, 0x5f9bb23e, 0x7caa5111,
+    0x46f4e023, 0x68e32759, 0x5d2e6698, 0x872ce622, 0x51eee480, 0xc8064d7e, 0xcc922107, 0x2157abe7,
+    0x46fecb54, 0x873a4fa0, 0x31b2d9bc, 0x78d6d2c1, 0xddb12247, 0xccee4609, 0x1fa0622d, 0x753c6d55,
+    0x4097a415, 0x1891590d, 0x5bf2e7a1, 0xe332e8f4, 0x56c0ad1a, 0xbfe35739, 0x5bf7b8b6, 0x63a38d96,
+    0xbf8e845a, 0x77330eb2, 0xe825d714, 0x07b6e42c, 0x2e576e8d, 0x9beac1ff, 0x5edec473, 0xe9243fda,
+    0x6e2959b7, 0x8a4d4430, 0x1f2d935e, 0x408ad77b, 0xdefb957f, 0x29bc27f9, 0xbae4f18c, 0xdf2494c2,
+    0xb7a2e7fa, 0x686fda48, 0x7a839099, 0x2bb4f63a, 0xebd4e0e4, 0x091082a3, 0xb0950535, 0x2ba5e60f,
+    0x9e09e878, 0x6f64adf5, 0x6ab8d79e, 0x52ac00f8, 0x409d5069, 0x7c051de1, 0xec0f38be, 0xa9d5ae97,
+    0xe6944ed5, 0x0c13d93c, 0xc100df5c, 0x4fd2285f, 0xdbc39669, 0x5ad2301b, 0xb68179c8, 0xed35b35d,
+    0x0c2be9fa, 0x3beaa4d0, 0xfa05c0af, 0xdabc1718, 0x930a34ab, 0xeec12b56, 0xb600b982, 0xba908d61,
+    0x11396af6, 0xa03d687c, 0xbf797fef, 0x587c3c49, 0xa92ce107, 0x1a9ec935, 0x36f6f921, 0x66fb90eb,
+    0x0b86cf66, 0x2b99c798, 0x14d3cdf1, 0x8feb665e, 0x1295504e, 0xda93f1c3, 0x5590fb19, 0x69188522,
+    0x69925741, 0x59c30c21, 0xe95a2074, 0x15b61b47, 0x46762b55, 0x0e95e904, 0x08a551ef, 0x38462718,
+    0x6a5177e9, 0xc08bca7f, 0x43731f6a, 0x58b6a7ca, 0xff98e8c7, 0x00ee0f4a, 0x359f57a5, 0x14514939,
+    0xdf4b550f, 0xff3709f3, 0x62a97d7e, 0x1857f3e2, 0x1c85e2da, 0x80f93e48, 0xda908cfe, 0xdb15b358,
+    0xe50508d9, 0xd82fc117, 0x381382c1, 0xde76aeb4, 0xd51759d1, 0x3e51c7e6, 0x1b28f605, 0xc5ab2dcb,
+    0xb1fc4746, 0x51ab9361, 0x46f0ae0b, 0x9ff4ddd7, 0x5248551e, 0xd73b37b2, 0xdf942e55, 0x12c67524,
+    0xcae006a1, 0x357f1942, 0x02179acf, 0x2f672f3d, 0x9492f604, 0xe028d777, 0x4b60de95, 0x1bbfab4a,
+    0xb2b91232, 0xa36b22ed, 0xb2091450, 0x399e40de, 0x2982fc74, 0xb7c5c4d3, 0x555e7e26, 0xaa75ac62,
+    0x2d5760ed, 0xdf4c5500, 0xfab54182, 0xfe394b64, 0xc8812fd7, 0x30491b60, 0x5706d45a, 0xa6bb211b,
+    0xfae0c75f, 0xe317125f, 0xcf6ec068, 0x5f317cfe, 0x6dfaf226, 0xd072fe52, 0x79ccb811, 0xd68d7ff5,
+    0xf2dfbc6f, 0xec37c1bd, 0x0fc2db2b, 0x61fe9898, 0xe72338a2, 0xd9f72954, 0x9599a896, 0x24f3ce8c,
+    0x7719b04c, 0x1b14463d, 0x6329bc5e, 0xe90ab62a, 0x49ffd9d0, 0xf9efcd6c, 0x38386ad9, 0xb8226ea9,
+    0x33b379ea, 0xf5b1c3bd, 0x84f40796, 0x9f74fadb, 0xea521b6c, 0xe1e2f214, 0xb4678151, 0xf72a22d7,
+    0xc03d2cc3, 0xc83c5fc7, 0x443d47bb, 0x480eb527, 0x71d500dd, 0x437f435b, 0x75a23fda, 0xdf4d486f,
+    0xfe5d6739, 0xfa62b08d, 0xa19a4ecb, 0xd5b2f661, 0x44080d15, 0x6508da28, 0x6e279f86, 0xc1f29b1f,
+    0x0bb850b2, 0xcd080cdf, 0xd8a9a3b8, 0x8405d4d9, 0x81f0313b, 0x4607197c, 0x383942a4, 0x53f46108,
+    0x0c8614f6, 0xb564fffa, 0x2d0ec25f, 0xc7224b85, 0xb49503c7, 0x9babf8df, 0xd16504ae, 0x9b1b545b,
+    0x2f515efd, 0x82292e49, 0xee0321a7, 0x6b089a85, 0xfc8cf6dc, 0x4077fe10, 0x24a3ff81, 0x49fe8730,
+    0x5b400015, 0x2d7312bb, 0x04dfedee, 0x0c5624df, 0x10cbb45c, 0x89f87c10, 0xb43d9e61, 0x5d811d4e,
+    0x00000000 }, /* 10**-00000031966705155235760449347555633082022970865644980889304584797767266563806\
+                          60551439995003193449537015778467662777468320381844938727095591204153641140224 */
+  { 0x00000000,
+    0x3ffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe8,
+    0xc3d317cc, 0xd7810b11, 0x57062e0e, 0xda0aa4e2, 0x97a14f5e, 0x508dbfd4, 0xd1ad5980, 0x74e99583,
+    0x00000000,
+    0xfee30099, 0xfa8f9bca, 0x4e828d39, 0x011590cb, 0x078ba017, 0x9596972d, 0xea0dcb21, 0x0a006250,
+    0xa06fdb8b, 0xb920323e, 0x9732723c, 0xe305db3a, 0x028813c2, 0x3c457d17, 0xbe655cd2, 0x369e2ad1,
+    0x0bec62d8, 0xa3e02a32, 0x21e28af8, 0x905a9699, 0x766abe94, 0xa2782514, 0x301692b6, 0x5892dbb1,
+    0x33090243, 0xe3d81353, 0x8c4745c6, 0x2034cdf8, 0xff7dcbd8, 0xde7d5ab7, 0xc676c022, 0xe570dac8,
+    0x064e6ae9, 0x3f39809e, 0xc46802b4, 0x74ccc9be, 0x7c9c5fa8, 0x946260f8, 0xf699567d, 0xf6eb7712,
+    0xf36d5e21, 0xb380dc4c, 0x4f0b0fab, 0xe7274960, 0xaa132170, 0x272b1fc6, 0xb1656f91, 0xf51349bb,
+    0x8ca66f07, 0x29cf2677, 0xb1dcf591, 0xabfbf722, 0xbc412d03, 0x0cbeb1bc, 0x5e2acbb3, 0xe07da816,
+    0x5337169d, 0x24404980, 0x80803baf, 0xdb6d8221, 0x5603ce88, 0x0dad0239, 0xd2b1395f, 0x149329da,
+    0x3791db14, 0x220e2522, 0xe3ca8590, 0xe3b23d74, 0xddf02160, 0xe5f3047f, 0x08b36189, 0xf6b69afc,
+    0x8303165a, 0x199d11b3, 0x895c1c10, 0x7c2a4d37, 0x7034aa9e, 0x74e395d8, 0xf2d06a16, 0xe78e0340,
+    0x6c1b9f5a, 0xa08bc18a, 0x1635cc4d, 0x69cec811, 0x1d382793, 0xa84deee2, 0x1e9da475, 0x585d71c7,
+    0x15ede6b2, 0x35d20425, 0x840c2bef, 0xa03b31ae, 0xf7fb8704, 0xe786568d, 0xfba915ec, 0xc7d2dcb8,
+    0xa07731c1, 0xf6e004c5, 0x8623a938, 0xe1025b7b, 0x6b9d7124, 0x7e89fe46, 0x2056e875, 0x4dc97903,
+    0x70711d72, 0xbf47e02a, 0x14a195d3, 0x39be012a, 0xb1fe2f95, 0xab3294e4, 0x260fcfe3, 0xc6f4d4b4,
+    0x21781bba, 0x0508b336, 0x04e437c1, 0x3645818f, 0x7dffc5cc, 0x57e0d402, 0xc0ea30df, 0xdbb58cea,
+    0xf3a929f5, 0x26067163, 0xe902dbbf, 0xf20c7ea4, 0xafa82d3d, 0x14521a85, 0x6f61b427, 0x76273fc5,
+    0x1c942c3e, 0xf554a52f, 0x07f903b4, 0x54c4a4fb, 0x4d070c0e, 0x50944620, 0xbe764037, 0x81690308,
+    0xe1c6492c, 0x49400db3, 0xb9e17294, 0x60d21203, 0x2ac29b9a, 0xc1d1d427, 0x2219eede, 0x698acda8,
+    0x1e82d8fe, 0xcff7a1c3, 0x7cd1f9cf, 0x8e43d3f8, 0xe96e9e94, 0x2293586e, 0x8ddc34d0, 0x4ecb8ad8,
+    0xc4d57554, 0x370132be, 0xba70b3da, 0xcd63b2eb, 0xeac55d31, 0xc86e81f9, 0x7f696ec7, 0xe26ea22c,
+    0xc211a7aa, 0x5411bdc1, 0x6bad0241, 0x99bb363c, 0xd77673fe, 0x8f33e075, 0x6352b2d2, 0x43df95fe,
+    0x45ce8aaf, 0x824bff07, 0xb40c6d58, 0xf659da30, 0x19acde00, 0xc123721d, 0x9d93a849, 0x6500c0b6,
+    0x3cd02554, 0xe902e05c, 0x228d71bf, 0x4182fd46, 0xeee98fb4, 0x641d2f9b, 0x7179b13a, 0x37d2e6ef,
+    0x9185b718, 0xf5488852, 0xef1bec3a, 0xbf5dd7ee, 0x4223b3c9, 0x08aeb965, 0x25855fe2, 0x895116b0,
+    0x8c621f22, 0x1a385df1, 0xc773d35a, 0x30dfb54e, 0x205d198c, 0x99840cc1, 0xd6fe2265, 0x6967ff7d,
+    0xf0869c4a, 0x70487ea6, 0xabefd381, 0x2de8d36e, 0x02396fb4, 0x600fc2c9, 0x5199811f, 0xda548ecb,
+    0xfb22b0b1, 0x14b0cbb4, 0xf07ca733, 0x62212d90, 0x1089c762, 0x0a26f117, 0x0d1c5f61, 0xc9539427,
+    0x8a7d9229, 0x75e7e050, 0x478528fa, 0x1015f073, 0x0c540e2a, 0x175d9e7a, 0xb3c78fec, 0xf2162a69,
+    0x78ddf524, 0x9c6faf4e, 0x0d31a918, 0x4277b7a0, 0x7d453485, 0x93e05306, 0xa09e2540, 0x7b1cca49,
+    0xd443f9c9, 0x088efbc0, 0x8cacb843, 0xcdf54cbf, 0x79d158b6, 0x02b3a45a, 0xa027e747, 0xba174ecc,
+    0xb811a73f, 0xd1df81f8, 0x83f9106f, 0xa6064657, 0x0edbf18c, 0x3e919fe0, 0x1758e05d, 0xcbe224ec,
+    0x2f2ecd9b, 0x879ff6cb, 0xf88fee89, 0xab4dea34, 0xa3cc81e0, 0xec27628d, 0x3f29d368, 0xd8c919b6,
+    0x3d340890, 0x3e356cb5, 0xd54f4e10, 0xc594ebd2, 0x93fefbab, 0xc3f38ea6, 0xe1974901, 0x1bc43874,
+    0x37faa747, 0xf9387444, 0x2c1bef53, 0x88dad34a, 0x52f16958, 0x00ea8512, 0xa2979341, 0xb0c6388c,
+    0x89e4649e, 0xb89ae667, 0xf931f4d2, 0x3f7fc9b2, 0x5e8351f2, 0xb5892933, 0x67cfc324, 0x46b42b7d,
+    0x88b47f68, 0x879d10af, 0x2cb0d7d3, 0x98d73630, 0x715ff719, 0x0e74224c, 0x80f9318a, 0x3121d87b,
+    0xd34c9522, 0x23f33b85, 0x7134c04b, 0xc5e6cd7c, 0xee3d20f5, 0x344e2684, 0x971b63bc, 0x12fa1020,
+    0x91de9629, 0x12c56ebf, 0x617fb9da, 0x1af151c2, 0x3fd2d69b, 0x475b102c, 0x13eadd37, 0xcaf0803c,
+    0xf20bb664, 0x0d055bd1, 0x88bb4b7f, 0x53ba4966, 0x1cf6f134, 0xb10dd5bb, 0xc86f3dea, 0x97bbccaf,
+    0xc67dc39b, 0xca0df6db, 0x662e41fc, 0x833d8a7e, 0x0dda6abb, 0xa5dd8605, 0xbeb06438, 0x641e41d5,
+    0x106f70a2, 0x4550270c, 0xbe04397d, 0x9a61cd87, 0x1d122f5d, 0xa6bc5399, 0x474b740c, 0xdcb44c57,
+    0xa456e41b, 0x8590ed03, 0xbacafb86, 0x54fb0924, 0x0258fb8b, 0xc2673c42, 0x02314872, 0xb4e8d239,
+    0x57a96b09, 0x07d9edd8, 0x8821f140, 0x7c96d922, 0x29ea2a2e, 0xfc766589, 0xf3e82b72, 0xdcec4c0e,
+    0xffc96d40, 0x3167aa88, 0x274d94de, 0x62bd2acb, 0x93a5ccd5, 0x8b91a7c5, 0x322d2e62, 0xd7bafadd,
+    0x195cb055, 0x0db5149f, 0x5a2f0f39, 0x8c7ecfab, 0x46e31a21, 0x5fc18173, 0xeb35621f, 0x4652a8bb,
+    0xddeef380, 0x18fd424b, 0xd2a69e0e, 0xa04c1278, 0xa8ee4257, 0x5ba01ef4, 0x59532eea, 0x90b4d304,
+    0xeeaab635, 0x587087f4, 0xfe8562c8, 0xb83bf00d, 0x63c878aa, 0x1d80b518, 0x8df91472, 0xf98f0edf,
+    0xe27d0caf, 0x77a21c2e, 0xe32de839, 0xe82ebe03, 0x5006fbb0, 0x2d97ee06, 0xe862dc77, 0x3d513bc9,
+    0xaa371ca9, 0x3669a76a, 0xd55d347e, 0x767fe479, 0x0da245b0, 0x0b4c647a, 0xb648ea89, 0x2ef6aaec,
+    0x074708af, 0x706d02a0, 0x8d91ef10, 0xa1e9e829, 0x23078a65, 0xb779e7af, 0x01e09a02, 0x2fd75137,
+    0x6cc0025b, 0x94121750, 0xdadefb14, 0x895d62d7, 0x25d5f13b, 0x135a3d33, 0x47aaabbe, 0xa9ec50c7,
+    0xc54ed6a3, 0x90a12f6a, 0x75334bc1, 0xacf930cd, 0x51984158, 0x9a2d5e95, 0xa68833e2, 0x96df87ab,
+    0xcd63e462, 0x1fc40dfb, 0x0d8fa305, 0x0ce2bc0f, 0xc8bbf47d, 0xb6f21acf, 0x3838ff7a, 0xadbab2ea,
+    0x84141f2d, 0xb21a3458, 0x5ab67abc, 0xf4aafc8d, 0xa6cfa17c, 0xffa3d4e1, 0x8131a596, 0xd7cbaaa5,
+    0x3dc6e060, 0xa95b5d2d, 0xa3745863, 0x0a67c90a, 0xbad84c3e, 0x342b0c6a, 0x1ec65d63, 0x23fc77bc,
+    0xe0cf2689, 0x095288f4, 0x9b8ff124, 0x7d15aef0, 0xde5ba37a, 0x91ebde0b, 0x16d0fec9, 0x392aca69,
+    0xf3dd7c41, 0x702197fa, 0x86674c5a, 0x45db5a31, 0xe45f08be, 0xb92fc6ab, 0x73f1b3f9, 0x3b037d46,
+    0xa6e05dd3, 0xcf8e7194, 0xbc28243c, 0xf83bbd60, 0xc8ede06d, 0x84ff7c2e, 0x8f6b255a, 0xabdf1b50,
+    0x1644342d, 0x45937a69, 0xa435bf22, 0xbadd6d4f, 0x5e57fc55, 0x6a8ffe7d, 0x85cce81f, 0xd6d5b74e,
+    0x87e1f7b5, 0xe8a610a7, 0x1b0791d9, 0x5536ca7d, 0xf52bf61d, 0x84172899, 0x1fb165dd, 0x00e3028e,
+    0x8fc19abe, 0x6860e7c0, 0x63ae8ef1, 0x7687d2cd, 0x4c3a1147, 0x3e2b6fd2, 0x8791d5f2, 0xa4b80c42,
+    0xc93bae86, 0xb2e64dac, 0xe43747b2, 0x460e3b8d, 0x98a69898, 0x618fc01d, 0x4b384114, 0x952b4df4,
+    0x4b624ac6, 0x75521d1f, 0x2c316f7b, 0x67e8d859, 0x460fade9, 0xac1021f6, 0x84c2d369, 0x18c0658b,
+    0x19598281, 0x570966f4, 0x2c4526e3, 0x2fe6e53f, 0xa3e4c336, 0x850eab69, 0x16608b02, 0x89f766ab,
+    0xb904d83f, 0xf669d634, 0x3b036bf6, 0x6189668d, 0xf2c102e3, 0xe8742688, 0x41663f6e, 0x628c5245,
+    0x5c65b926, 0x00321ac4, 0x05e58f4c, 0x897a8fb3, 0xf81c7780, 0x3991f6cc, 0x96796d4e, 0x6a7d398d,
+    0x87a274d3, 0xcb5c3bdd, 0xb884fca2, 0x576ca6fa, 0x83a58087, 0x84195371, 0x38d37dd0, 0xb4c86e45,
+    0xc216fe2a, 0x3b9eff08, 0xd848e666, 0x9e6732a8, 0x35ac810e, 0x64878f40, 0xed135c4c, 0x7f3c10e7,
+    0xdd19152c, 0xfe2abd0a, 0x80d6d32e, 0x1d492e61, 0x66cf3945, 0xa4d4accf, 0x4fba4a13, 0x9b3dece9,
+    0x35923bbe, 0x8522a01b, 0x0c19c035, 0xe609965c, 0xfb435f1f, 0x57f50015, 0x566ad8e2, 0xa486478b,
+    0xb51d1933, 0xaf4bba70, 0xbb09d74e, 0x6b3a242a, 0x4d305b13, 0x9ab5aa72, 0x1822a41a, 0x75f2e049,
+    0xa7247a7a, 0x991c1981, 0x04addeec, 0xa3d43751, 0x4a486478, 0x80cd1093, 0xc66e843a, 0xc6bc726f,
+    0xd8b67c40, 0x9c804ec0, 0x630c9a38, 0x35b29b55, 0xafe2026a, 0x2262dc2f, 0xb39ecc09, 0x032ed8bc,
+    0x515ba7e6, 0x347d7a16, 0xb7aa076e, 0xb0bf3539, 0x499186c8, 0x173c6942, 0xa5646c8e, 0x5937a062,
+    0x6a8b9064, 0x3c4349ee, 0x1fced4d0, 0xb96c0251, 0xd3ff34a7, 0x973174d8, 0x7be6783c, 0xb1531e3c,
+    0x0d540857, 0xaa4ce7cc, 0xa68e7fd6, 0xc8687c57, 0x1eec647e, 0x72333497, 0xc7a401c5, 0xdf60d485,
+    0x9e9a30d1, 0xcbff6e83, 0x843200b5, 0xdbc36c7d, 0xfe8396ca, 0xc981be20, 0xd4e78080, 0xa911409b,
+    0x55b4a84e, 0xb7eb566a, 0x9f7db7df, 0x50f0e074, 0x898ee482, 0x081a0c22, 0xee3e7ff0, 0x787ba017,
+    0xe576e325, 0x55dd3348, 0x07e71c6e, 0x72e1ee1a, 0x45d870d0, 0xc21901de, 0x915d70eb, 0xc77ec5c2,
+    0x550a6278, 0xcdbc6827, 0xdce8deb6, 0x77d0ba98, 0x8ef66fc0, 0xf4509c07, 0xca7aaa3a, 0x8a07fb42,
+    0x088eab01, 0x00f69931, 0x5e0dd897, 0x2aaba8f6, 0x64f598ec, 0x838ab768, 0x7986c30f, 0x1482d33d,
+    0x8c2783e5, 0xb46aa59c, 0x6165a7b9, 0x5674ec93, 0x5354d1d4, 0x0647bac8, 0xb485031a, 0x4e55b0ee,
+    0xc1715f55, 0xa3aa154e, 0xad3d9d68, 0x85052a40, 0x50d720be, 0x26b3604d, 0xc88d5117, 0xbce0b51d,
+    0xdefa8ac7, 0x1209fec4, 0x6cd62490, 0xecb3a555, 0xc6197cfd, 0x95297ea2, 0x31c8fa9b, 0xa107e5f0,
+    0xcdb723f9, 0xa4b3d142, 0xc73f6f82, 0xb120a05c, 0xb0c7490a, 0x3a4a9a38, 0x102e4649, 0x46fc0da4,
+    0x0e0e3d42, 0xd1879a04, 0x351d66e9, 0x1a8b93f9, 0xf2f75b20, 0xff2740c5, 0x7816bb3e, 0xcaf06c51,
+    0xad1a8fff, 0xa7d4ff9a, 0x4914324c, 0x495d8ac6, 0x732221ce, 0xbf881d61, 0x387dd915, 0x6a98a886,
+    0x6b417db1, 0x2cce0ef0, 0xb169d970, 0x9c10f0ea, 0x2ac661d0, 0xda1fb052, 0xeddc9d48, 0xc4ade58b,
+    0xb2139582, 0x5c9802ea, 0x63718a4d, 0x89de0c1c, 0x0d8c58e8, 0x7e61e4d9, 0x35bb43a3, 0xa762a61e,
+    0xef4c056c, 0x7fa1c316, 0x5870a3ee, 0x292f9045, 0x1f2f47a6, 0xf303f5f4, 0x8b33c617, 0x4dd9fdc2,
+    0xee859695, 0x04a4b28d, 0x38a36074, 0x37fe1d73, 0xaa6288e6, 0xaeaa553c, 0xc0cdcc1f, 0x477f4894,
+    0x98d055e2, 0x4df62107, 0x784dd1f3, 0x65e03e0c, 0xa18256b2, 0xa2af4d63, 0x08dc1c64, 0x1b9ee943,
+    0x4df6f58b, 0x721c3c96, 0x42e7ce68, 0xff4bbfef, 0xb115ac88, 0xec611f25, 0x53a4ec57, 0x6386def3,
+    0x8ae6e5bb, 0x320084c1, 0x8b6d227a, 0xd2184426, 0x2de4ba2a, 0x368a7e64, 0x9ff6e348, 0x4207ac82,
+    0xe0e69406, 0x4a03632e, 0x61e2d675, 0xaa622c36, 0xc7aeabfe, 0xd1c5e4d9, 0x87a6ea81, 0x0bea53cb,
+    0xa8e74c87, 0xbe9372a9, 0x3422e17f, 0x7927bf8d, 0x2a67f439, 0x58584f32, 0x1df68e96, 0x93d4d7e5,
+    0x28227636, 0xce413f6c, 0x5577acf1, 0x607f72d0, 0x987cf281, 0x0ee5ca5b, 0x30bd0209, 0x4ff7ae2a,
+    0xf1d2e915, 0x9cdf4157, 0xbd9fc95d, 0x8fe041ee, 0xbd298c2c, 0xd117f370, 0xc9919dac, 0x2bb9c607,
+    0x7324cb37, 0xb89d0f98, 0x2b13a8f0, 0xab94c563, 0x3180b57e, 0xf811259e, 0x37d2a0f3, 0x492eeb6c,
+    0xaacfcae2, 0x598844a2, 0xefe97aab, 0xefee6e4b, 0x685d5c57, 0xe8b44096, 0x4429f613, 0xe2b1a44f,
+    0xbd12745c, 0x0b3f9647, 0xb4bcaac5, 0xf7195aeb, 0x70c359c0, 0xef849d99, 0xf64f893a, 0x01e61eb8,
+    0xe8e90d56, 0xcde55f51, 0xc0f8fdb6, 0x133ca55e, 0x38aa58c2, 0x99a204f2, 0x29bc8359, 0x538a3730,
+    0xc6839d2a, 0x841783d3, 0x80ac000c, 0xc700e98a, 0x5eebce49, 0xd7835e3a, 0xdaf0ffeb, 0x4d39fb6a,
+    0xd2249dba, 0x90d72765, 0xcf7b03ca, 0xeed1a05a, 0xdaf23e36, 0xa6520de7, 0x0d8bd3c1, 0xd9641f0b,
+    0x027b137c, 0x1316f0fb, 0x788f870a, 0x6992c396, 0xff2bc912, 0x178d918a, 0x98b4f2bc, 0x8c1b6fc6,
+    0x58b674ab, 0xdfe539d6, 0x4963c44a, 0x774bdd20, 0xf9575668, 0x10c9e413, 0xbf690deb, 0xeaceb04e,
+    0x429c0981, 0x8390c264, 0xf20f1c7f, 0x9ce1f8e5, 0xda6cca24, 0x30611e6a, 0x2c6a713f, 0x37633acd,
+    0xdb47674d, 0x62434979, 0x3eb956d5, 0xb950a312, 0x96a6625f, 0x40166f1c, 0x33b415ba, 0xce5b4ff6,
+    0xa2c57c92, 0x006e8a7e, 0x64425e2b, 0x1ad538d3, 0xbc94f213, 0x68559634, 0xd5264d56, 0x1d8a69de,
+    0x710abadb, 0x1e6b5292, 0x7021c2b7, 0xb6970c44, 0x817e858e, 0x0d2cd6ce, 0x03229ae5, 0xa4e64473,
+    0xda656e28, 0x87b1b5bb, 0x204ca7c0, 0xdc5edad8, 0x0b741ff2, 0x9f02f152, 0xa4c285f8, 0x305b549c,
+    0x10606dc1, 0xf0016f75, 0x21f5dbf1, 0x17fa48b3, 0x787001f6, 0xfc3aadf5, 0x0454bf8b, 0x58925be0,
+    0xf3b4d62a, 0x9971aefa, 0xa3cb2aef, 0xf5c0f1d2, 0x04dd02ae, 0x7fa6ae56, 0xed742945, 0xf71d2c26,
+    0xbaf04ff0, 0x3d1e8fd8, 0x35982071, 0xd5da32a0, 0xea50e808, 0xa371c3fe, 0xf3626257, 0x24578e38,
+    0x8e5f212b, 0xac65ae0d, 0x3cff4215, 0x94d08fee, 0x2fc4aed5, 0x0b28ea81, 0xc6ae5fdf, 0xd2ebc7e1,
+    0xe1e85762, 0x829f6141, 0x1b88c6bc, 0xa4bda39d, 0x3781d74d, 0xdc2efee5, 0xcf8b1d93, 0xf7b2b3b8,
+    0xefd928fa, 0x190c477d, 0x0bd7ad13, 0x6e08f3c5, 0x4e4ae6d4, 0x91eb2c24, 0x372bfd82, 0x738ee99f,
+    0xde6cad5f, 0x05af07dd, 0x4675421e, 0x2aaefccc, 0x9431e650, 0x49005d88, 0xba01f4df, 0x508b01f6,
+    0x5619b2be, 0x9ae81b9e, 0x8653eae8, 0x4b4f09ee, 0x64b53be6, 0x91a43af2, 0xdb8ccf8f, 0x2f810396,
+    0xa347b2d1, 0xac6dd24a, 0x33d13025, 0xd39b10b4, 0xff1f088c, 0xfc707a1b, 0x6d9e44ba, 0xe7bf932b,
+    0xb77495aa, 0x803c4797, 0xf969053c, 0x8adc663d, 0x6acfdccb, 0xa4690271, 0x1dcf4a73, 0x61f43b34,
+    0xfaa1c66f, 0x3c9a2352, 0x2feaf670, 0xa56b7ad7, 0xcd7a40e2, 0x8adda2a8, 0x483b151d, 0x56defa7a,
+    0x8099ad76, 0x02fac0b9, 0xcc955dda, 0xf8a1d52e, 0x9c258ee7, 0x73ceb863, 0xa7d41752, 0x1185f25e,
+    0x4297ed3c, 0x9dc6505a, 0x38ba8662, 0x1e295787, 0xf293418c, 0x337a1a73, 0x2012c50d, 0x08db56d1,
+    0x3097db6e, 0xe7f7c372, 0x1dedb836, 0x79989030, 0x3dd12837, 0xf3f68065, 0xfcf9e195, 0xb35f6a58,
+    0xafdc77cc, 0x035337fb, 0x2342a8d6, 0x7dc0edab, 0x90656fec, 0x00913786, 0x3b3e8aab, 0x8d684da9,
+    0x00000000 }, /* 10**-00000015983352577617880224673777816541011485432822490444652292398883633281903\
+                          30275719997501596724768507889233831388734160190922469363547795602076820570112 */
+  { 0x00000000,
+    0x3ffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf4,
+    0x61e98be6, 0x6bc08588, 0xab831707, 0x6d055271, 0x4bd0a7af, 0x2846dfea, 0x68d6acc0, 0x3a74cac1,
+    0x00000000,
+    0xb4a0140e, 0x294004b9, 0x645b92f5, 0xe19f9888, 0x7c00ca07, 0x892a0a3c, 0x90e28d77, 0x5ca45ce4,
+    0x10e3ef2b, 0x16330e09, 0x4ea7a325, 0x95f7a328, 0x2f1211cf, 0x1a4aaf95, 0x23938f73, 0x5ca94eaf,
+    0xd44ccaae, 0x4c2587ea, 0xb0b51756, 0xa09b6241, 0x969929be, 0x14a40b1d, 0xb24329d1, 0x8316393e,
+    0xc2504219, 0xdc4f32e7, 0x1c5e77e1, 0x728f2f42, 0x691a3023, 0xe622f87f, 0xaa72f4ff, 0x4c00a76f,
+    0xa92bf8bd, 0x4c3f5568, 0x4840a481, 0x9c93cff7, 0xc00d4eed, 0x48cb05c6, 0x5dbb54f4, 0x804c02de,
+    0x58e6dbec, 0x9319fb57, 0xfc342081, 0xd16c84a9, 0xf48f0487, 0xcd42d281, 0x41708788, 0x9405f692,
+    0xd2ce3e99, 0x595455ad, 0x110ddfff, 0x2b278221, 0x5c969453, 0x5e69d380, 0x844a3636, 0x7777a776,
+    0x23379316, 0x94db4b6d, 0x538f0e3f, 0xc8fb3c5f, 0xaaa3d3d9, 0xdf8545aa, 0xd9abcd06, 0x424856bd,
+    0xd05d610b, 0xd91a4e60, 0xbf70d931, 0x9b404c5c, 0x3861a062, 0x05f81e01, 0x81696def, 0xa5833a47,
+    0x6d60b16d, 0xbbc429fc, 0x9e5bf728, 0x50affdcd, 0x125a059f, 0x5939febf, 0xdc698aa6, 0xd564e19a,
+    0x16914a3e, 0x207ac435, 0xee89beba, 0xe298cda8, 0x64b5274a, 0x0f873b65, 0xcc523701, 0xef41f263,
+    0x8af25881, 0x5fd00202, 0x3b73085d, 0x3841c582, 0x3e19c252, 0x2a385234, 0x2944511e, 0x45f2d0b3,
+    0x8d3d207a, 0xf8995bd6, 0x6cea36ba, 0x1c6d6172, 0xff79f7c4, 0x33f546f9, 0xea1ba7d3, 0x72840b46,
+    0x2f86cfe3, 0x852260fd, 0x188ca560, 0xbf79c06c, 0x4341731d, 0x3589a692, 0x606d02d7, 0x0a3dcfb6,
+    0x7b657c95, 0x44a733ec, 0x437f4b2b, 0x0efb9189, 0xd0079bbf, 0xe57cfb04, 0xc32ae422, 0xb97aa429,
+    0x9368ece2, 0xcc909fe7, 0xb6143e93, 0x78f17327, 0x14a98f9c, 0x0fc30bda, 0xd19a11b0, 0x34a2be2c,
+    0x7582982b, 0x88775e3f, 0xfb5fb072, 0x95c43a0f, 0xd809f675, 0x6719833f, 0x90dbf5a3, 0x01dac22d,
+    0x9c4d9f6d, 0xcfa1f687, 0x70728611, 0x6bdd99fb, 0x83d80f4a, 0x86c3cda6, 0x8325f898, 0xe3acc821,
+    0x99985e83, 0xd50e9d36, 0x82c63c73, 0xd0880f25, 0x4909d498, 0x311cd90f, 0xd1a60bb4, 0x8eb116ea,
+    0x4968b910, 0xb51b57f4, 0x6a3fb9f3, 0x1c6b2511, 0x4c202e6a, 0x327fc55a, 0x1b4b9f75, 0xb5f8b029,
+    0xda94fd1b, 0x233cd121, 0xe66347f6, 0x3aa11f49, 0xedd8f326, 0x59128ae8, 0x4b531081, 0xe5b27e49,
+    0xdd7a06ed, 0x4e10ba54, 0x6c0e0a07, 0xbb1e696b, 0x41667d3d, 0x59b88295, 0xfe1a965d, 0x46530aa7,
+    0x950890fe, 0x2208c941, 0x3599dfeb, 0x44b168e9, 0xe3088eed, 0xdd95eb34, 0x196143e4, 0x107b5695,
+    0x2de1ac2a, 0x99e5e714, 0x10f5c6eb, 0xc7a4ad91, 0x1be2e90f, 0xa346f24c, 0x2c67a5af, 0xe0f57af1,
+    0x1f11edd7, 0x10ebcc9f, 0xc8ed8dd4, 0xcb9db526, 0x38fd30fa, 0xc075c82c, 0x2f9c95b7, 0xe13b58bf,
+    0xbd9be9cc, 0x63a187e2, 0x96361cb6, 0x3a61ae73, 0xea9fa4d6, 0x1e1226ae, 0xfb225995, 0xcecfa82e,
+    0xe3abde32, 0x2dd4e3ac, 0xd4921393, 0xfd37a2d2, 0x463e6cff, 0x2e9e8494, 0xcfa851d5, 0x1a487479,
+    0xdee0c6fd, 0x34498429, 0x05d59208, 0x8a1a3c13, 0x3e1faab5, 0xfbb938ef, 0x9ba52efd, 0xe4004aa0,
+    0x6779a798, 0x2bbb1bab, 0xc1c670e2, 0x34b01d2f, 0x6e960c04, 0x4a15d5f5, 0x20ebb3ad, 0xaceb1f13,
+    0x190bb6ed, 0x77c68ade, 0xa97b4f5d, 0x96721170, 0x51a29936, 0x9731679c, 0xb1abdfd3, 0x89a6129a,
+    0x0315ba29, 0x49b9a605, 0x37d3a609, 0xac069ac2, 0xbbd533fa, 0x342a9b34, 0x038feee7, 0xd347d53b,
+    0x23f27a04, 0x9f1f27fd, 0x48a35316, 0x3d3fe010, 0x338a59e4, 0xf3ac92c6, 0xd1e4c018, 0x15a3d466,
+    0xbf58a718, 0xcaf591e1, 0x7097461b, 0x463a6f46, 0xe8f75898, 0x9c67d955, 0xa45b24e0, 0x6acedfb6,
+    0xbfaf9cdf, 0xd4c2a9a5, 0xf2c4a613, 0xc3c11784, 0x7274e8c0, 0x6a310775, 0x3c67f6b3, 0xe30ad369,
+    0x65ec053e, 0x9ae63e28, 0x3c1bdbac, 0x61fda733, 0xa1769d58, 0xe73af9ab, 0x6b8010cd, 0x7f916469,
+    0x2c04f398, 0xa92410f3, 0xe1aca4de, 0xfeba0134, 0x65f33351, 0xf585846f, 0xe906af52, 0x62bac0f8,
+    0x46d9a4a9, 0x5012a0ca, 0x0fcfea03, 0xb1dd08e8, 0x10e11963, 0xee2df5cf, 0xb21dc19c, 0x2bb70e65,
+    0xf1116402, 0xfc8b1b3a, 0xd38022e3, 0x909d29c8, 0xaba01a2b, 0x61bcee71, 0xa4297da7, 0x7bc6dfaa,
+    0x012e78d8, 0x5d03d8ac, 0xd3860206, 0xb7281f97, 0xf292eda3, 0xd4df4f28, 0xc44720ca, 0x1ba17e20,
+    0x7db318c7, 0x55d99904, 0x85f4cbfa, 0xb99d1df3, 0xd74bb1e3, 0x19395d03, 0x96d2affd, 0x2f7a3004,
+    0xb2e405c6, 0x4c351bca, 0xc300e62e, 0x216c9b27, 0xe3e7b2b7, 0x07d2acf8, 0xbbcf8e9f, 0xab485825,
+    0x1f758bb7, 0xe5260000, 0xe81b8ad5, 0xfda27bd9, 0x1c12aa5b, 0x6308f68a, 0x8135054d, 0xf0056573,
+    0xb6b48189, 0x552f2b5f, 0x8d346e2d, 0xdefbca5f, 0xf768764b, 0xb47d9d35, 0x1ca576ca, 0x7a0dbea8,
+    0xb374ce7b, 0xebdd79a3, 0xc7c08d1e, 0x3ed9cdf9, 0x8f1337ed, 0x3e8060ac, 0x864d7d99, 0xfe50fec9,
+    0xa2245218, 0xf9a04f70, 0x75cc92d1, 0x366fba7a, 0x1ac5945a, 0xdfae6145, 0xda15398a, 0xe991ca87,
+    0x99373cf7, 0xa088cfef, 0xf7c403f0, 0x65e33c73, 0xe67e890d, 0x6bd14a54, 0x62299422, 0x9d5b7e01,
+    0x76c74d4f, 0x3d9ddb60, 0x8597c69f, 0x4a537eae, 0xcada0cf7, 0x74cd8dbf, 0x1cccfbe5, 0x818a37a3,
+    0x9780d915, 0x90ed90c5, 0x8c968d1c, 0xd14bedc3, 0x28ff8d67, 0xbb400080, 0xab10fbe6, 0x34422067,
+    0x59f47d91, 0x585910a1, 0xf8b30115, 0xf9946738, 0xa1d61c57, 0x0f93c1fb, 0x5ece73bb, 0x7cd5db20,
+    0x3b4bb6c5, 0x9a0fba4e, 0x241e2c12, 0xd0bbd17f, 0xfbe4425a, 0xf72655d4, 0x3adcd418, 0x9ebd18b9,
+    0x128841e1, 0x72859a4c, 0xc2758a26, 0xa4ac15e2, 0x595efef1, 0x3e1f5ef0, 0x580383f7, 0xd871fa3f,
+    0xeae7ec6f, 0xa6e9e586, 0x3590227d, 0x20afd44e, 0x21ab81da, 0x14297305, 0x23164edc, 0x762d07ba,
+    0x96da2441, 0xda8ad1ea, 0xbd9e8832, 0xd1fda184, 0xdf106f9c, 0x08030de1, 0xc8022d95, 0x9a35b39d,
+    0x0b8245dd, 0xce36141a, 0x5aa2b229, 0xce7de90c, 0xfbf66f40, 0x390e4af0, 0xfe356c15, 0x3300de23,
+    0x0fb1c511, 0xd8a2242a, 0x1335eaaa, 0xc52e5f1e, 0xd73277a6, 0xfdee2daa, 0xbd801fc1, 0x1594e34a,
+    0x7192c65c, 0x243ce7d1, 0x34c45c50, 0x543d5d14, 0xfe48eb0d, 0x507ab36e, 0xdc3952a8, 0x12029ddf,
+    0x674b6ff3, 0x431e55bb, 0xea57d96d, 0x18062294, 0xaa8a990a, 0x9999016f, 0x0c33a171, 0xd01db9e0,
+    0x69113f5f, 0x3b7458e2, 0xab50c8b7, 0xa167d384, 0x58aa4ca3, 0x67b72fe7, 0x02c60f31, 0xb7868313,
+    0xf6fee040, 0x0d4658c5, 0x643c231a, 0x0b8bc8b1, 0x8cdffff4, 0x2fa26fe7, 0xe49d3eff, 0x7dfc85ae,
+    0xf6986d60, 0x50b05af4, 0xfcbe482d, 0x445e649b, 0xcca0ce16, 0xafff0e82, 0x4fc17506, 0x28227899,
+    0xfcfa33d2, 0x7dad49af, 0xc3b23eb8, 0xcf47cddd, 0x2cdd316c, 0x6d0469d0, 0x255b6a76, 0xbf26b585,
+    0xa4a87048, 0x7c29f7d7, 0x3f6fbc8e, 0x11be04b6, 0x8d064f8d, 0x85c52962, 0xe57098e1, 0xccf5592e,
+    0xe90b46ed, 0xa6bb176b, 0x6fb691b2, 0x70eb1ba9, 0xdfd24e23, 0xa8a88092, 0x40d8eb54, 0x7984bf8b,
+    0x2d58548b, 0x38104c72, 0x5922b9fa, 0xe80a930c, 0xd3ac9554, 0xeb819538, 0x8716d810, 0x1d8711a8,
+    0x069226d6, 0xcebc0c6f, 0x70f3ad0a, 0xd69bdcc8, 0x0c5e85d5, 0xf0e36a6e, 0xd59e76e6, 0x5bddae13,
+    0x8dce05bc, 0xbc4d4057, 0x573f1cd0, 0x86dfc44e, 0x12c18cff, 0x771b34a1, 0x597e1be8, 0x7538558d,
+    0xfd9fdb4c, 0xed484e68, 0x94ed98eb, 0x9f4c5b24, 0x043c141a, 0x33062c4d, 0x9ae47cb0, 0xe449460d,
+    0xbaf79c12, 0x8f9f2bda, 0x896bb42d, 0x67c9ec78, 0x3f91301f, 0x30821bec, 0x7ad0b01c, 0x628fb35f,
+    0x182915c1, 0x7e866de5, 0x6673ba0a, 0xa4ac2da2, 0x20f3a3f8, 0xa8a815c0, 0x4f5bdc21, 0xca24c91b,
+    0x3f3a8f86, 0xec24fe0a, 0x897470b7, 0x85eaa4b6, 0x40016c5d, 0x7db46526, 0x090ad456, 0x25388922,
+    0x291dc97b, 0xbaf5d96c, 0x29d72304, 0x080b2112, 0x410de639, 0xe3b75c2b, 0x2cc04840, 0x122efdc2,
+    0xba158c8b, 0x3a43ab24, 0xc80206d1, 0x918030b7, 0xa53009ca, 0x7ae9e670, 0xc8149dc2, 0x0bbad717,
+    0x9339b259, 0xc83e24d5, 0x9ab92037, 0x87f9c98e, 0x0f5e3b26, 0xe43f3dfa, 0x7cbdd2ae, 0x877d2bcd,
+    0x7b2f3acf, 0xff193d7c, 0x42fa2ac5, 0x652dd6fb, 0x18c91e55, 0xecc62c8f, 0xefa2b168, 0x56ef97ca,
+    0xd9171bc0, 0x520ee1f6, 0x4d93b77c, 0xe4157722, 0x3a1f07fd, 0x68f5663d, 0x68ccf1c2, 0xf2e6241a,
+    0xe3a69d01, 0x7df08134, 0x4438ba73, 0xa8e748f3, 0xc0314c82, 0x6cb70dd9, 0x64d2213c, 0x05ea20e0,
+    0xcf3d1f2c, 0x986ad2da, 0x91a1ef7e, 0x0e137280, 0xca891d4f, 0x60e534ed, 0xcae6b350, 0x378fbad4,
+    0xeb549dab, 0x74a3fc60, 0x26c87ab1, 0x2ae172ad, 0xaa3d8229, 0x9fd0e373, 0x254e66d4, 0x405b2821,
+    0xcc6aed15, 0xde885623, 0x06e1b4a2, 0x17d7b04a, 0x02c973d9, 0x9b4e3d0f, 0x9e040e3d, 0xda4a5d14,
+    0x48caad74, 0x95c2510a, 0xfeb64702, 0x894dc4a9, 0x594648bb, 0xf9361f4e, 0x56ff626f, 0xfd891f80,
+    0xaa3b8a2f, 0x93285c05, 0x7760c155, 0x18862778, 0xb471f7a5, 0xd17a5834, 0x5a5a0e30, 0x6e354d0a,
+    0xc1702ac3, 0x50fc85f2, 0xc9de6a25, 0x8a6c773c, 0x716ec66f, 0xdcaeeaf4, 0xbb8d7978, 0xffe1af0b,
+    0xe66c973d, 0xc4e41a32, 0xf1b7ed0b, 0x23152d5c, 0x95aec023, 0x9f7b1c81, 0x0c89b87d, 0xd75a4c6e,
+    0x7fda3ab6, 0xe75cb05d, 0x28394a92, 0xd7d4fc3a, 0x56c4c246, 0x52fe2aa7, 0x826fb054, 0x3e7db2a7,
+    0x760ff325, 0xb60bee6c, 0x65f1f4d0, 0x5cf9e21b, 0xaec96425, 0x3fb15ae2, 0x92aafdee, 0x93067d5e,
+    0x2720ca45, 0x2b1bb470, 0xa83250ba, 0x7f367cdb, 0xbbf009ad, 0x5c1c5651, 0x5a964c6b, 0x288979e0,
+    0x8b69622e, 0x2fa9b943, 0xe2982679, 0xac58beb3, 0xbaeaa711, 0xb5a8b709, 0x8f18791b, 0xb7aa7f38,
+    0x262a62d9, 0x678c864c, 0x0be11add, 0x83e7e156, 0x2bc996b7, 0xb8482851, 0x81f3cf7b, 0xba153802,
+    0x9eb4508f, 0xe216d0b8, 0xc006f39f, 0xcf3f3f3c, 0xbdf6c874, 0x62b5e2a2, 0x0d42b672, 0xfd9bfb12,
+    0xd42a73f3, 0x2025d4a5, 0x9bad8639, 0x239b2065, 0xacb20466, 0x423e3d25, 0xf8ac4745, 0xf94a840c,
+    0x48b6ca75, 0x22f9595d, 0xd93efb18, 0xf34004c1, 0xb919ed12, 0xe78602b0, 0xff87ef48, 0x5871e4d2,
+    0x2e959727, 0xc8b66faf, 0xb77d5e4b, 0x312b170f, 0x851f1688, 0xfb62e687, 0x5547f2df, 0x68b07850,
+    0xf90e7c62, 0xd8845a26, 0x6b5f4609, 0xdcd6d783, 0x64cc0c0a, 0xafc8164e, 0xfa475549, 0x5d55c1c4,
+    0x757b25f9, 0xf37c17f1, 0x77e49266, 0x929a6ca7, 0xfbf80c82, 0x3a3e3c06, 0xbbbec090, 0x31fbea53,
+    0x99ec5f81, 0x34459027, 0x9c41cc04, 0x1bbd39bd, 0x8dbd532f, 0x66be1358, 0xa23c61c6, 0x4af8a783,
+    0x638f5125, 0x5dc96203, 0xb07ca313, 0xb3b318fb, 0xf718370a, 0x378bee82, 0xe5888191, 0xa879e45d,
+    0x1289b544, 0xb756053e, 0x72b61791, 0xc87032a9, 0x7b0f104c, 0x8e35f9bb, 0x444e9199, 0xd4e51912,
+    0x13708388, 0xc44829d4, 0x22d2c832, 0x56577982, 0x1e937d5a, 0xd2c4b7b1, 0x93c4d2be, 0xb5fb3328,
+    0x649f0058, 0xb4a84db2, 0xe69f148a, 0xc2293f64, 0x0cfd8eff, 0x24540195, 0x97337d49, 0x0ceaace7,
+    0xab15970e, 0x4e605f7c, 0xed0fd86e, 0xbf827b0a, 0x12e16c28, 0x6eabcb83, 0x4543f0cc, 0x07d62c25,
+    0x6a2afd93, 0x2e0d062f, 0x3c1927e4, 0xf998babb, 0xce6a0696, 0x88441b6e, 0x4d2c9c88, 0x5562780a,
+    0x3d37a837, 0xe99238fa, 0x170165a9, 0x36a3173f, 0x6c68e32d, 0xe329b00a, 0x937c4f08, 0x8035d956,
+    0xb1e2e031, 0x9ccd793b, 0x4706b01c, 0x5c819522, 0xf99a0187, 0x855f4552, 0xd631eca1, 0x5d23dfc9,
+    0xb868c23a, 0xe31e0953, 0x92151844, 0x3d01435a, 0x00075070, 0x656e3ca6, 0x087a8317, 0x984432c5,
+    0x20893c41, 0x7133846c, 0x999146fe, 0xe882e9b1, 0x0a40ea19, 0x8e81dd78, 0x4c410903, 0x93353cf1,
+    0xef060df8, 0xb93393b1, 0xd24286c9, 0x928c6a06, 0xfc7d9ae9, 0xc3054820, 0x6dea9274, 0xa09f30e9,
+    0x5e6ae69a, 0xd5b8bb68, 0x4ae9e27c, 0x58785410, 0xf926c3c7, 0x92d10475, 0xd6c0c9e3, 0xa861f9ea,
+    0x98f596e8, 0xdb50c5cb, 0x509a2e4b, 0x5fae53b5, 0x73506f2a, 0x55d9a85e, 0xff957dcd, 0xabf1de6d,
+    0x7d7b13f3, 0x7827c539, 0xeb0fe53f, 0xf1c00b0b, 0xcdce0820, 0x5f83a6d2, 0x0e849000, 0xea7f76c9,
+    0x96a29b49, 0x56442021, 0xc3c0ae47, 0xd0806376, 0xde42fd10, 0x0cd86e09, 0x68bafef5, 0xa20ac81f,
+    0x3f6aea1f, 0x8a328f58, 0xf8044b54, 0xa584201c, 0x2c6eccaf, 0x850438a7, 0x1d78f1af, 0xdce1a773,
+    0x2ae8f60e, 0x3dc6c617, 0xbd197ec9, 0xc5202a28, 0xb919db94, 0x579ba84e, 0x56208731, 0xa6e52242,
+    0xbc5e2fcd, 0xe9601078, 0x96e5387b, 0x72005977, 0x65ca2a5f, 0xe7691555, 0xf6f91eac, 0xdb54b488,
+    0x0728d4e5, 0xb7d61277, 0x5867e2b7, 0x0d0a9457, 0xf83c8cc8, 0x398a8b92, 0x873905a7, 0x847f00b0,
+    0xc0769828, 0x571afd39, 0x56e67310, 0x0ead5e62, 0xc996b9e4, 0x6cd70148, 0x671838d8, 0xcda62677,
+    0x39d0c3fa, 0xbdcbeeca, 0xb904a328, 0xa65571be, 0xa6fed445, 0x7bdd857b, 0xb44a250e, 0x5d41ef10,
+    0x967a9c57, 0x2cd1da54, 0x808b1479, 0xea3dcb7f, 0x6e34cbed, 0xb7da4ca0, 0x839a0ab6, 0x2532561b,
+    0x0a77c560, 0x7fa99bd1, 0xaaf24835, 0x95c4014f, 0xf809b0a7, 0x09ebdd6e, 0xe13b48ec, 0xbddca3bd,
+    0xfadf3a82, 0x6a232c29, 0x25195431, 0xe5e9c752, 0xd91a0a98, 0x521c5131, 0x72661f65, 0xf19f2e0a,
+    0x3322a9ad, 0xc2248fb5, 0xae3d3163, 0x93882848, 0x720d5148, 0x7862e64a, 0xdfa2afcc, 0xf53f8d51,
+    0xdd6c7e81, 0xbfd26f7a, 0xaffd31f5, 0x448b74e1, 0x4d41f3e2, 0x316aa8c8, 0x51c9337a, 0x0c0cb20c,
+    0xcbb902cd, 0xa3851964, 0xde20dd36, 0xf263412c, 0xa6b735c9, 0xedf095bc, 0x92710049, 0x68567aa0,
+    0x364985d6, 0xd0ed17a6, 0x3a9d7e4a, 0xbf5d82ad, 0x58b04d7a, 0x9a828fee, 0xe621e8c8, 0x94074166,
+    0x631fd001, 0xb4fb7a43, 0x44ded688, 0xcd5dd0aa, 0xfe93a80b, 0xce424f91, 0xcc10175c, 0xbfee086d,
+    0x41660fad, 0x5f1cff5e, 0x8f643392, 0xda06460c, 0x326b0862, 0xfca546d3, 0x1fc35f7e, 0x0c98dd0f,
+    0x812d592b, 0x7a3d4fbb, 0xf168557d, 0xdb055267, 0x67af6749, 0x1f06949d, 0x74fdc554, 0xd1b3cc60,
+    0x00000000 }, /* 10**-00000007991676288808940112336888908270505742716411245222326146199441816640951\
+                          65137859998750798362384253944616915694367080095461234681773897801038410285056 */
+  { 0x00000000,
+    0x3ffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fefa,
+    0x30f4c5f3, 0x35e042c4, 0x55c18b83, 0xb682a938, 0xa5e853d7, 0x94236ff5, 0x346b5660, 0x1d3a6560,
+    0x00000000,
+    0x980d811b, 0x8c64309e, 0x350aeb14, 0x0e12167d, 0xf1b969a1, 0xdac1fb19, 0x918e809d, 0x78eeeb96,
+    0xcf464f90, 0x9c10f5bc, 0x6746490f, 0xe38e3665, 0xc4c9f3b6, 0x6745e084, 0xbe77bfb7, 0xf0226bd3,
+    0xf3040a6c, 0xb64430e5, 0x94f097e3, 0x62697bd5, 0xaa426891, 0x6b65696d, 0x637e5778, 0x78cd952c,
+    0x2dba6ea7, 0x3f5af926, 0xa391ea1e, 0x6b8de0cc, 0x43f72834, 0x7be8b2c1, 0x60548883, 0xeabac9cd,
+    0x23223187, 0x149b9ce3, 0x1f67c5c3, 0x4ca6cc7b, 0x13c6142e, 0x66fc4104, 0x27d938e1, 0xc15f2778,
+    0x26bf8a2b, 0xd3c3deb7, 0x8b12774d, 0xe7bd2cb7, 0x1c78b9a2, 0xa66eea09, 0xc8fec7bf, 0xd3fe4216,
+    0x1d9d3fc1, 0x58c4206c, 0x0e89d681, 0xbe01e7a6, 0xfc725e90, 0x1662862f, 0x7b6e39dc, 0xf88c6f4e,
+    0x2dc401b9, 0xeda013c0, 0x2fd7ec75, 0x1b3938ae, 0x60b2c707, 0xd54246df, 0x6c191b01, 0x3869c2bf,
+    0xcee39aae, 0x76ea5808, 0xab38ddfd, 0x44fa2ca5, 0xff7b164e, 0x6f625ae0, 0x921d8530, 0xc4be0982,
+    0x5ce101d1, 0x6e28223e, 0x192253f6, 0xbab56751, 0x126dcb5a, 0x3825672d, 0xdf1e1cc5, 0x39e7c3f9,
+    0xb6e6fffb, 0xd3aa3b22, 0x12b8dc9a, 0x5fdda0c4, 0xd97f87a7, 0x69fdbcb6, 0x9f5fe538, 0x59ec944c,
+    0xfcf9c550, 0x36d4b361, 0xeb5b36b8, 0x40dac5ed, 0xba1d26d1, 0x55050e9b, 0xedcdad00, 0x8b5c31a2,
+    0xe0fa89ed, 0xca0ee655, 0x56f4c1b2, 0x13192f38, 0x421d4063, 0x43a73548, 0x6d2a4fef, 0x7ec4a752,
+    0x74f032a5, 0x3c7ffafa, 0xae9ee50d, 0x489c0224, 0x3d2806d0, 0x7b12936e, 0x8c5ef876, 0x9bc8adf4,
+    0xca3215e0, 0x2f333d1d, 0xd7e0fe0d, 0xf3fa8ce1, 0x00e32fd3, 0xaad084a9, 0x787b1e63, 0x1914ed54,
+    0xc581df3e, 0x67c4fee8, 0x6cc3b423, 0xdadaac63, 0xd9ec5112, 0x5b60fc67, 0xf17f12c7, 0x6aef3e4a,
+    0xfc1f0a05, 0x146b8b8c, 0x2d2d1f1e, 0x5d6a6351, 0x87b73468, 0xf6852ee0, 0xb9b445e1, 0x08447b63,
+    0xea021040, 0x751ece61, 0x29fb2e70, 0xf11058eb, 0x506beaf5, 0x3ac951cd, 0xe6a4460e, 0xd211bd46,
+    0x048e55bf, 0x164da1eb, 0xe039fe6e, 0xbb15b280, 0x7964b502, 0xd5c82585, 0xdfc02b0e, 0x10100d22,
+    0xf03e57a0, 0xa143828f, 0x810cc022, 0x981033d0, 0xb4005208, 0x93b2a963, 0x2f013538, 0x9a62a33b,
+    0x5db753c2, 0x38bc87aa, 0x7d7affc4, 0xa64eb3a5, 0x6ae1db7e, 0x071e0c5e, 0x46eadaa0, 0x26b4427f,
+    0x144ce800, 0xf42ab08b, 0xdccc3bea, 0xb8fb778e, 0x3028d6d9, 0x80f57c0e, 0xffd5e1b4, 0xbd6e4763,
+    0xefbf86cd, 0x84f6e26d, 0xd803d658, 0x1536f429, 0xd79a50fe, 0x7dee6941, 0xd0fe0fb6, 0x5b493f9c,
+    0xfb5326ec, 0x1798c59c, 0x0c09a910, 0x24dbbaa1, 0x4080f997, 0x3f9b11f9, 0x50aa9570, 0x7d347f2f,
+    0x1c721d0d, 0x7d66bcf5, 0x5104819a, 0x0a8c6c5e, 0xdf47bd87, 0xe03aeabe, 0xbfa61a7a, 0xae91a3bd,
+    0x8a6b0c01, 0x12f4b465, 0xe6f40f1b, 0x70a12c5e, 0x540781ad, 0xfc26ed9e, 0xe2829db8, 0x12da26bc,
+    0x8b39e406, 0xbd45dc4a, 0x7be97071, 0xf45ffd62, 0x381ab24f, 0x088c9ce7, 0x280a90a7, 0xb9f70409,
+    0xaa2a3da8, 0xf9d686cf, 0xca547e4b, 0x36aa8044, 0xa45fc795, 0xd919eff9, 0x56adf869, 0x62e1a847,
+    0x3a4d0366, 0xf1238e3f, 0xbd2eca6d, 0x80e2b8f0, 0x43fd22cd, 0x7576f051, 0xaf1a7877, 0x94041ba1,
+    0x577ccb93, 0x762698c3, 0x1ee5e0da, 0x026308e5, 0xa9357234, 0x037c6a17, 0x83c0da56, 0xb38bbfae,
+    0x9e8be467, 0x56393773, 0x5d9b2475, 0xf428bfc3, 0x87d603ff, 0x40d3d4be, 0x6a29d24b, 0xfd41b9a6,
+    0x1190d0b6, 0x3e348e1e, 0xb404ad26, 0x331434ad, 0x15542193, 0x350bf957, 0xfdd67fe2, 0x2b57168b,
+    0x4a4d0c0e, 0xa9a589d7, 0x45430c22, 0xd63b846e, 0x7e3be404, 0x338b9246, 0x55153979, 0x7ebedb92,
+    0x113edcad, 0xfb3e2167, 0x430bc9e1, 0xdd9dad83, 0x9e2d405e, 0xaaac1c1f, 0x0c8daaa2, 0x75295583,
+    0xc6eb4111, 0x03a67497, 0x93786f67, 0x354119c0, 0xe0844810, 0x84ca5326, 0x5fa9cb49, 0xc14eaef0,
+    0x00f254c5, 0x0ed53f04, 0x05f31566, 0x2e5b7cc8, 0x8b15a7d3, 0x56391c44, 0xd645db24, 0xcfb1eb14,
+    0xa8b5a4e6, 0x69e44898, 0xbdb2232a, 0x60253514, 0x5adc3d99, 0x1ac297b3, 0x9e95a846, 0x288deda0,
+    0x526e5e87, 0xfd6d8922, 0x909365ed, 0x27b7cd24, 0xdf114f37, 0xb73b395a, 0xeaaa9e86, 0xfa8dc79c,
+    0xdd467a1d, 0x51bb77ff, 0xefe19dc7, 0x16513d96, 0x8860dbd0, 0xd796110e, 0xc82a1f1c, 0xfe9afe56,
+    0xb463b148, 0x222ce909, 0x483bfc8f, 0x2858d02a, 0x1654fca8, 0x69809af1, 0x99c3a5e0, 0xe458d80e,
+    0x3ce183cd, 0x315d552d, 0x0dd3160f, 0x3c8aa5b8, 0x206ce29d, 0x6a54836f, 0x906c26f1, 0xe2c860c6,
+    0xa3e2ce91, 0x57eff86f, 0x3c6bc9e2, 0xc9508beb, 0x59a7c1d9, 0x147ed56b, 0xa303c355, 0x914d64e2,
+    0xc3473ce1, 0xa2340a92, 0xb90c55f5, 0xdb4a2975, 0x736ff7eb, 0xd11998d4, 0xe9575903, 0x28be03bd,
+    0x4556e334, 0xcad01592, 0x6da4f9d5, 0xbad4eb00, 0x105c3984, 0x3d10ae22, 0x066de1c5, 0x98a95c66,
+    0xe120d4c7, 0x7ba7f334, 0x001759d7, 0xf816f9c2, 0xdd66b5a8, 0x312aa6dd, 0xe05560ae, 0x7d57a02b,
+    0xbd7b644c, 0x07b4c4e6, 0x989b47a1, 0x12be8c27, 0xa46e831f, 0xdaac86cd, 0x8a694d0b, 0x35c29b24,
+    0x1a51ca8a, 0x66a6d43d, 0xfe142e94, 0x171f1fd0, 0x5d33d99c, 0x5aac762b, 0xe480759d, 0x5f814a2c,
+    0xde8e8bc7, 0x0480e2e2, 0x444dfe20, 0xe99a223f, 0xcd6f81ef, 0xc4d9ee3f, 0x40ac6bbf, 0xeb7a0456,
+    0x6594424d, 0x1ea4e1bf, 0xb2df05ae, 0x0f023379, 0xd1cccb2c, 0x5a82076c, 0xd0dfb6ad, 0x47ffb2ec,
+    0xfa0e3b1f, 0x866bb551, 0x67ed47a6, 0xc434234c, 0xa177028d, 0xd5fc76ad, 0x3cab7bfa, 0x0ea73f93,
+    0x1a7498a1, 0x704a8f3d, 0xb66a376f, 0xc16c7340, 0x736e0c77, 0xff4462f5, 0xb552a17d, 0x10db454c,
+    0xc3150687, 0xa347389a, 0xe7aaa3b7, 0x786a8bc0, 0x1e91850d, 0x8780a946, 0x998cdb3d, 0xe00c079d,
+    0x70962a73, 0xe20ed055, 0xafd183b9, 0xa1ff7e36, 0xf174a6eb, 0x031324d2, 0xb2d383a3, 0xac26110b,
+    0xa0b16f43, 0x74639ee3, 0x645384f7, 0x13fea973, 0xe9967e09, 0xe2302f9a, 0xf3760758, 0x833375cb,
+    0x0a2136b3, 0x65ac6241, 0x98df2a51, 0x151dbd24, 0x7eac647d, 0xbadfe527, 0xbd7fc391, 0x12f8956d,
+    0xa38b19fc, 0xeec38822, 0x2008ae68, 0x87fbeb71, 0x4907dbd0, 0x6cbc5a6a, 0xb584a987, 0xacb42c8f,
+    0x6929488b, 0xdb515e65, 0xea3378b7, 0x6a049d9a, 0xc5e2a074, 0xd77cf6f6, 0x1c3109a9, 0x0fec1c54,
+    0x42c7e0f7, 0xa6460e96, 0x9e4bd789, 0x186c7547, 0x1d0c8c3f, 0x7a727aa7, 0xece8c9ff, 0xaedf5e8a,
+    0x174865fd, 0xbe7b39d6, 0xbf339e3a, 0x40277660, 0xe8f1d681, 0x3d635982, 0xb2bd0c2c, 0x9664b0c3,
+    0xd171801c, 0xd8416179, 0xc43d2064, 0x6be9ff62, 0x0515d7a8, 0x3b789de7, 0x46d631d3, 0x4cf78796,
+    0x9ab65ef5, 0x4160885a, 0x2ab9acd9, 0x95de93a7, 0xab431c47, 0xc0125e79, 0xda473a63, 0x4c8b430d,
+    0xf9336151, 0xfdfab190, 0x0c5445a3, 0x93e43d83, 0xce10fbaa, 0x1e74b9a0, 0x97ac4960, 0x3c398ddf,
+    0x77906749, 0xd5da6ef9, 0xed748bab, 0xb4ca77d3, 0xb3516a2c, 0x3583f982, 0x4169db6b, 0xaf4c5a90,
+    0x0046a22f, 0x9c9669d4, 0x4b3c1e1b, 0x9770423c, 0x38b65a0c, 0xa30268f0, 0xefef4e52, 0x54a49016,
+    0x07aca73d, 0x51128ac6, 0x42d15640, 0xd95af71a, 0x2b5c8220, 0xc4e1c1e9, 0xb8a9745f, 0x47b39ec9,
+    0xc73c87f9, 0xf35702ed, 0x89f5a43a, 0x754b8e7b, 0xe0ac1b46, 0xe2cff26c, 0x8b1ba507, 0x42287a36,
+    0x7aa25bb8, 0x31897d32, 0xbbde3834, 0x6f5131a3, 0xa31fe50b, 0xb6faa413, 0x4401386a, 0xf7864620,
+    0xbb281309, 0x0c106f8a, 0x739d9588, 0x60f963c7, 0xbfe17203, 0x1882a544, 0x4fd92cb5, 0x4b89c960,
+    0x1d6ebfdb, 0xf618dcbf, 0xc236b88a, 0x31dce3d8, 0xa02e45e9, 0x54cbc1be, 0x9b1bfdd3, 0x3e5f1566,
+    0xe26779bd, 0x8a96feb1, 0xfe2e358e, 0x9cb45f4a, 0x1b8d84e0, 0xf876f603, 0x0f9c6552, 0xd1c7fe78,
+    0x0e237a4f, 0xaf2df5be, 0x741d057e, 0xd91ad70d, 0x07cd3824, 0x401a2818, 0x2f6cf92e, 0x9ebe0dd8,
+    0x6862e621, 0x6fe72f64, 0x6b6ef21e, 0x94dc9ce3, 0xb3b9539e, 0xe97eadd8, 0xabbc320f, 0x653a2005,
+    0x6578ae60, 0x46268360, 0x1ce48aad, 0x50fe00f6, 0xd018d9d4, 0x51de951d, 0xf98f266a, 0x7726630f,
+    0x94447a52, 0xb08bc350, 0x677c9218, 0xec8f125c, 0x31875f13, 0x43b49d89, 0x964ae96e, 0x31fdc6df,
+    0xc14d939d, 0x2d34d3a6, 0x7f82a7cd, 0x24530adf, 0x96501727, 0x6e1f8efa, 0xa945e89b, 0xeba357e8,
+    0xc5faf215, 0x5031d8ad, 0xb5423e30, 0x326daca9, 0x75645e59, 0x81f5f760, 0xa6d7033f, 0xdd396bc1,
+    0x98b64815, 0x9326356b, 0x5e9acaa8, 0xb3d3db37, 0x9dc61e4c, 0xd8911199, 0x1390220b, 0xeb9247b7,
+    0xcf0dca8c, 0xe524b510, 0x8a4547f6, 0xd4b362e1, 0xcde74f85, 0xbb1c98e1, 0xe3c8db5f, 0xa50de958,
+    0x0b17fc58, 0xe0e44750, 0x7028fcd2, 0x01e700ff, 0xaf6a81fa, 0x8327e7b6, 0xe20ff82e, 0x3bace201,
+    0xce42a678, 0xab5a356f, 0x3c2f0801, 0x029ee9d8, 0x203a91ec, 0x82a1b2d0, 0xa1be23c0, 0x2e7a49dd,
+    0x0303c492, 0xd07ff2a5, 0xe27e92aa, 0x7613b2fb, 0xfc150a70, 0x94304b18, 0x4bd346f5, 0xe6a0b8de,
+    0xfb9ac470, 0x6f3eeca3, 0x5dce6eff, 0x0edcefa5, 0xa2136813, 0x52a7263e, 0x157966ee, 0x5ed9c3fa,
+    0xb97836a5, 0x56b45230, 0xb2200450, 0x2c7c1fd4, 0x0f722353, 0x9e828ae3, 0x99992202, 0xfea9135a,
+    0x0c54b4f5, 0x8203cf62, 0x63106a70, 0xbe856c7f, 0xf84c994f, 0xb2412f83, 0x85654941, 0x3b613eb5,
+    0xd5e8f17a, 0x2ceb607d, 0x25da1348, 0x584f046b, 0x16d9194a, 0x9751662b, 0xb5dda090, 0xbcbbbbce,
+    0x4d378cd2, 0xb3d64eac, 0x8bcf3a02, 0x76dcee8b, 0xedc94bba, 0xb3893690, 0x32c57831, 0xed9823db,
+    0x1d09ec63, 0x309a07ac, 0x4a45b73e, 0x9708470f, 0x97880795, 0x7fdd94bb, 0xb0137b00, 0x7d6c79d6,
+    0x60aecd73, 0x5cd202c6, 0xb415ee52, 0xe78d247d, 0x407871df, 0xc823d28d, 0xb8540e71, 0xd0dc95ea,
+    0x9c64c872, 0x44c1acb3, 0xbf5dac9b, 0xefbfc5b6, 0x95d429d9, 0x69b10aa2, 0x1d5ac3fa, 0x66c66988,
+    0x0e94d19f, 0xbf0029b0, 0x78c2a6b9, 0x12fc3874, 0x02b06b76, 0x21f0926b, 0xca509407, 0x9847c4e0,
+    0x55e1b924, 0x4e6a560a, 0x8df6bbc0, 0x39cf3b7e, 0x3c799ac6, 0x84304ed4, 0x8045af7b, 0xd54589e1,
+    0xba58a1ae, 0xdf1e4411, 0x1ee6b942, 0x9d721386, 0xa1652f4a, 0xb7c9ec09, 0x32ec6421, 0x45736763,
+    0x7aac7b7b, 0x0ce8426b, 0xe2e54df0, 0xf7570450, 0x8e33596c, 0x9fb372d7, 0x6d567428, 0xbb6d66ce,
+    0xf12d0537, 0x990f1766, 0xf570f471, 0xb2854eb5, 0x00cc9e6a, 0x72b33c0b, 0x0ae14fcb, 0xd9230d14,
+    0xfca89e62, 0x2fe531f4, 0xd7ed5a07, 0xc84c3af6, 0x86693a34, 0x71a3b77c, 0x5121fb8b, 0x8a155df7,
+    0xf67f5b69, 0xae142944, 0x92d8a838, 0xcc4425e6, 0x75dad9fd, 0xc9ebb403, 0x3feef636, 0x8e97a37c,
+    0x68f6d6ad, 0x3ecd96bf, 0x0782be40, 0x44397cda, 0x425a6d91, 0x8ac63634, 0x0fb8b56f, 0x8c5beb65,
+    0x833b62e5, 0xe096fbda, 0x8e1afa12, 0x4f4621ea, 0xedc6940c, 0x70859148, 0xb70c0585, 0xd7b8dfa3,
+    0x113c494f, 0xa2bab4b8, 0xcc6d9ee1, 0x4302f3b5, 0x6c181aa4, 0x14c76763, 0x7b026870, 0x8b804b7f,
+    0xcfc98bf8, 0xf13826f4, 0x5e7a967d, 0x57ad09be, 0x72371825, 0x581c7959, 0xd87b10fe, 0xc7b47665,
+    0xc47d84ad, 0xa94e622a, 0xdd67f323, 0x9e0fd7b8, 0xfa437b1d, 0x466da0bf, 0x2f12a650, 0xd3e9e09e,
+    0xf9dcc6ba, 0x2b4df323, 0x5a032a26, 0x407537c0, 0xf0903ee3, 0xb5d61dbd, 0xb33e36bd, 0xf1b2ef80,
+    0x51557548, 0xf50de4bc, 0x44f8e1a9, 0xfa938f65, 0x4dfef0d1, 0x04eee128, 0x413c9aef, 0xd6efe989,
+    0x8835547d, 0x3a969b04, 0x494adfc0, 0x0db659ee, 0x9f12e144, 0x963c8936, 0x36efa9f4, 0x9101316a,
+    0x0ebee553, 0x8e92ac19, 0xc896b3a6, 0x76e3a7d0, 0x5e275ea5, 0xc8372bab, 0xb50e47a9, 0xb4aa7a27,
+    0x04a3f3ff, 0x405a24be, 0x24d691de, 0xedc72f2d, 0xc5694167, 0xc5a94beb, 0x83361e84, 0x2a5c6f34,
+    0x2bc19555, 0x89402324, 0xb0fdfc74, 0x2d45aa9d, 0xcf67e336, 0xfbec5528, 0x125dd04b, 0x06664b6b,
+    0x72d653f3, 0x1cd7d198, 0xfa5e9d49, 0xdc5cbe21, 0x25d73e07, 0xdbc3826d, 0xb9709417, 0xe54b63b9,
+    0xfe9fb969, 0x55e67510, 0x776ad718, 0x2de30585, 0x154f98ee, 0xa32fb1dd, 0xe7f4062f, 0x2641d14c,
+    0xd5593120, 0x86b1c55a, 0x62c3a7c8, 0xd1cbaa75, 0xc425243d, 0x611dc0ca, 0xf0dc9025, 0x39c4e3f8,
+    0xc5bf2eeb, 0x08d5e95e, 0xed0d5abf, 0x8e67207b, 0x2fe7707e, 0xb5be27f9, 0xfd289187, 0xc3c576d6,
+    0x80789505, 0x689b157c, 0xdf656d3b, 0x41991c7a, 0xa9277432, 0x518beee6, 0x67dcb18b, 0x17e26c03,
+    0x7c753673, 0x6e560402, 0xa482301a, 0xec3f2f17, 0x1e6e2265, 0x70a41a31, 0x48d73c36, 0xde0b9c3d,
+    0x6ae64a05, 0xd99d0ae3, 0xd8f9bd86, 0xe5993a16, 0xbceba125, 0x6aca9c3b, 0xd209bd28, 0x33e5c84b,
+    0x70864dfa, 0x6aed19bc, 0x6c8d377f, 0x0d822aff, 0x9aca0661, 0xa3304df2, 0x3ed6d884, 0x459c3937,
+    0xf8dfe711, 0xce153b35, 0x7cfbba2f, 0x000b284f, 0x4a8aa9fd, 0x8dc9b71f, 0x285f3a9a, 0x05fc538d,
+    0x34f6bf9d, 0xd753606a, 0x20d846a8, 0x060ee227, 0x7fcad65b, 0xd43bb4a3, 0x3d24a651, 0xb23be1e2,
+    0xd8281c2a, 0xe03592d6, 0xf950b0a3, 0x1d28e40c, 0x1296a613, 0x7a773c00, 0x2ed801f2, 0xab5dcb9d,
+    0x83565b87, 0x1696a3cf, 0x82b4a40c, 0xd006d603, 0x62819a57, 0xf28f3987, 0x43635ca1, 0x34fc6875,
+    0x11556478, 0x46dd6a2e, 0x0682e7dc, 0x94bf31b6, 0x91cc2181, 0x092b1c11, 0x29475a37, 0x4b79d131,
+    0x2e42dde4, 0x10d06ee7, 0x73d7e9bf, 0x9c10ed3c, 0x52f2941e, 0x153a93fc, 0xdd327d68, 0x15dc4ee0,
+    0x5bf780a6, 0x4c7c4a13, 0x96f7b3d2, 0x20e52bc1, 0x1cd1fe98, 0xba197d8c, 0x87966a66, 0x29f999bc,
+    0xa3058758, 0x9e8e1b59, 0x24eb6d81, 0x4c151f7c, 0x98871a5a, 0x4093dcb9, 0x7903d1a4, 0x1b1a7426,
+    0x20fc896b, 0x0395b5e8, 0xb0af5816, 0xe5463460, 0xf4876808, 0xf54f94f3, 0xbe8c1e38, 0xbf47c08a,
+    0xed7971d9, 0x56ffac08, 0x27480662, 0xa4ece0a6, 0x21991b18, 0xf5d25b8a, 0xf292716b, 0x66f529cd,
+    0xcbdbf49d, 0xdf6b0f37, 0x0ab82920, 0xb61f6571, 0x869d05fc, 0x9f112888, 0x4effa730, 0x262899b0,
+    0x00000000 }, /* 10**-00000003995838144404470056168444454135252871358205622611163073099720908320475\
+                          82568929999375399181192126972308457847183540047730617340886948900519205142528 */
+  { 0x00000000,
+    0x3fffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7d,
+    0x187a62f9, 0x9af02162, 0x2ae0c5c1, 0xdb41549c, 0x52f429eb, 0xca11b7fa, 0x9a35ab30, 0x0e9d32af,
+    0x00000000,
+    0xc54ba43a, 0x6b15257d, 0x0b490bbe, 0x39d8446e, 0xc1dc2510, 0x7be0608d, 0x558352f1, 0xaa714335,
+    0x057e5612, 0xc48cbd7a, 0x4a5bec1a, 0x255a81d5, 0x6dbbed3a, 0xada74b0f, 0xb66ba085, 0x6a6b8181,
+    0x9a6cb3ae, 0xc67f2204, 0xcaf703a8, 0x62d7bc45, 0xcab8ea7b, 0x73ee0bfe, 0x615ea03f, 0xead0f87d,
+    0x6f72b966, 0x6631286b, 0x0aa93d78, 0xd138b00a, 0x2bbc39fa, 0x9c6825d2, 0xa5b27058, 0x5091bf7f,
+    0xe08254ed, 0x2a5cfc5f, 0xb5165464, 0x9a7b876b, 0x78dc0c3c, 0x79871900, 0xc71a8b9f, 0x5854cd9d,
+    0xc90458ad, 0xd5b4f64f, 0xc070c710, 0x5c9e0add, 0xafa6395f, 0xcf09f03c, 0xa899b21f, 0xdec32477,
+    0x82feac8d, 0xce1bf2d6, 0x2355311d, 0x62ca1d13, 0x7e8e9609, 0xdc48e162, 0x2f3376b4, 0xee65ad49,
+    0x81c41e8d, 0x8e4d666b, 0x320c0e02, 0x92f6914c, 0xdd3b39a8, 0x3916a8dc, 0xca3a3b64, 0x221fe1e8,
+    0x887044eb, 0xaadb3227, 0x534e82d2, 0x2a8a60ea, 0xdab84adb, 0x0e3cc358, 0x19d6a07d, 0x7a0aa8ce,
+    0x9d62eded, 0x4b60bd93, 0x16adbf77, 0xe7d9dea2, 0x45d200c3, 0x8cfd204a, 0x809025f1, 0x7e5346f3,
+    0xf4ce5000, 0xfe30e4bb, 0xfddae7e4, 0x30fba921, 0xea289a20, 0xba16fd2e, 0xba127edf, 0x6439a324,
+    0x1921b109, 0x7cada059, 0x2796a108, 0xb20a6b93, 0x3635249b, 0x62e53b31, 0x16bedc94, 0xf93d5dad,
+    0xe979e831, 0x611ece7c, 0xfc30d84a, 0xa3a052af, 0x1cf2bd08, 0x8f0f8c45, 0x05cf61dc, 0xe32307ae,
+    0xa279d6ef, 0xc2ac4bac, 0x92b3eb2b, 0x528642b7, 0xd7782d5c, 0x0c3a8a21, 0x3ad56a6a, 0x9e8223fa,
+    0xa2f0c706, 0x1932af4c, 0xf4ce7155, 0xcfb727d8, 0xdeb11185, 0xce3d3985, 0x1c47a660, 0xa24831dc,
+    0x070e2fc0, 0xdfe67fea, 0x503c531c, 0xce4a2f75, 0xc84fd4b6, 0x5ab0bede, 0xa81e98a1, 0xf758fde8,
+    0x236f6b21, 0x7404d1cb, 0x9e6f1e2d, 0xdd22947a, 0x9fdfc09b, 0x8ae6b65d, 0xbb19dc02, 0xc6c4567f,
+    0xe1b7ca72, 0xd2aac920, 0x626dc77b, 0x8d2a1c95, 0x84ed5ace, 0x831576e8, 0x887a0758, 0xc17f478a,
+    0x90f3e25f, 0xc1877d30, 0xf1a33c98, 0x4a1933f1, 0x29ad156b, 0x30983e7f, 0x5d6e130b, 0x2d4df6ac,
+    0xb81ac9c1, 0x166e898d, 0x577187bd, 0x694d5db6, 0x2874e9e2, 0x88166ba2, 0x946cb947, 0x41e81fdd,
+    0x390e0613, 0x3822c718, 0x38a336e2, 0xe9294d1c, 0x0018c165, 0x3e6273f2, 0x0281593b, 0x98a4eb57,
+    0xa5886c4f, 0xdb0f01cb, 0xd527ecf7, 0x0076954e, 0xaec38000, 0x85e54d11, 0x65da5801, 0xe5f4ede3,
+    0x09e67e75, 0xec7a3bd1, 0x06a07f38, 0xbb4b78a6, 0x716844e8, 0xbd6d708a, 0xdb370859, 0xde296802,
+    0x277c6f87, 0x64afe6fc, 0xaa8b0215, 0x647a04c6, 0x396bad2d, 0xf228a05c, 0xc055dc6b, 0x2ba3fe0d,
+    0xc5e83582, 0x5c3f8fa0, 0x336d67a7, 0x53148b7c, 0xe26260be, 0x1ad69c24, 0xc25705ad, 0x4cd6982a,
+    0xdefc7714, 0x4cfdb943, 0xff5ef36f, 0x8fab978d, 0x5972393e, 0x5e3af558, 0x5d14feed, 0x35299162,
+    0xab13993c, 0x492797e4, 0x56e4a889, 0x1a62a073, 0x73f437c3, 0x97ab4803, 0x267e9b21, 0x4f214bf0,
+    0x17a0f165, 0x86ea07d8, 0x997a0a79, 0x66141511, 0xbcba7947, 0xdbf571e9, 0x48390be9, 0x37ce90ea,
+    0x0c366f71, 0xaccda044, 0x4d5cfec6, 0xea0f04eb, 0x63b1b8a0, 0x9ebcad8e, 0xaa647742, 0x31f8c5cc,
+    0x5b1cf4a5, 0x9ba86f79, 0x1dac55e0, 0x7db236bb, 0xcfb9cda7, 0xd7330a58, 0xb38a2e9c, 0xa17b5b31,
+    0x72487459, 0xacd84388, 0x2a6ad12c, 0x139b4666, 0xecb64d9c, 0x2809f934, 0x871920e4, 0x5cb71ab6,
+    0x5e5cbe4a, 0x6d014aa0, 0x535e63bc, 0xe3fc7cbc, 0x9a1aa47c, 0xec71c3cf, 0x229a891a, 0xe76b35de,
+    0x0a4e175e, 0x5358bf6d, 0x9f6cc8a7, 0xb03bd110, 0x737c6016, 0xdd123a68, 0x1fef6d7e, 0x756b2008,
+    0x7283cfd9, 0x369eae16, 0xf2df2385, 0xdcdca330, 0xa24298c2, 0x268df64a, 0x60ff5d63, 0x487a29a3,
+    0x843a302e, 0xf71ff232, 0xd1665a80, 0x05aab4d7, 0x93d3c6ab, 0x8a192c4c, 0x1b58be44, 0xcdcd5ac0,
+    0xe694b7d6, 0x26a56f7a, 0xbe51bf0e, 0x1d3b66a6, 0xaab979e9, 0xa646776d, 0xc88a4c30, 0x81c3b627,
+    0x454d27b1, 0xb57fa8d5, 0xcdd2a5ee, 0xbe0fbff6, 0xeb28d5c0, 0xac3b10a1, 0x3141df0f, 0xa4ec7fd9,
+    0x3ea21b1a, 0x4119fc89, 0x2b308dcc, 0xb86b6ea6, 0x4e925af5, 0xde88fba9, 0x3abb10c0, 0x85125602,
+    0xf0394e8a, 0x2e5fc0da, 0xbd49105f, 0xac0c49ae, 0xa41bd591, 0xb8f01e8b, 0x22a1c925, 0x7f56d58f,
+    0xf5c799c2, 0xe53613c1, 0xa8bc04ae, 0x0185df04, 0x31c1d7d9, 0xb34bdd21, 0x79f7ac12, 0x566d2ee4,
+    0x58cc3642, 0xdcf5e67c, 0x3d03097c, 0x46591263, 0xb1ffddb0, 0x246315d8, 0x48dbb8e2, 0xe422b732,
+    0x5ad6cd45, 0x28e0c91b, 0xd6338ccc, 0xb6eb5d8b, 0x414ccb7b, 0xedd6390f, 0xe564d2bb, 0x14b5a701,
+    0xffa3e97b, 0x08313424, 0x019f6936, 0x4f4ac1d5, 0xc071cb50, 0x750bb2e6, 0x71abe36f, 0x2fb5fa79,
+    0xc9dd232e, 0xfca0b3da, 0xb3701b57, 0x5b508fe9, 0x5ded006c, 0x88e96ea1, 0xbdd8be21, 0xd4f3d873,
+    0xaac0e6c0, 0x7b470590, 0xd3fe02d9, 0x4f195b10, 0x18ae6e5a, 0x50acb9c6, 0x3f6b4627, 0x15ee252d,
+    0xebe8b2f9, 0x323f423c, 0xb1674642, 0xff6f63e2, 0xde6a48c5, 0x4ddde965, 0xa5916a24, 0xe3034fb7,
+    0xb0d2250d, 0x3c74b2cd, 0xf6bf60ff, 0x54cd096b, 0x0d69df15, 0x238370bb, 0x7d80b3db, 0xc776ffc4,
+    0x41945ea1, 0x9cb94b79, 0x70a5bd7b, 0xfa9b2435, 0x313a1480, 0x15af2ad9, 0x2104e228, 0xf9048e1b,
+    0xf1ec26d1, 0xb7bc10d8, 0x69345c43, 0x5edffe6f, 0x99fdd715, 0x6f5b96f2, 0x07962c80, 0x762fb7a6,
+    0x7c2a3ee7, 0x6e63db32, 0x28ab3817, 0xdf8d3b97, 0xb6822853, 0x7b89d4e0, 0x4506c7e0, 0x639f13fc,
+    0x11c6553a, 0x4830db09, 0xd74203cb, 0xcabf6bb3, 0x0826e864, 0xe8f4cb46, 0x04277146, 0xe4d7cd79,
+    0x06cb6a29, 0x69151e03, 0xde7268fc, 0x80db688b, 0x8f56cd37, 0x91dc97e5, 0x0f82ccfc, 0x361861fc,
+    0x13e298e2, 0x4b0d8446, 0xbf8380fe, 0xc4ecd4fa, 0x86dfea6c, 0x3d964f56, 0xce899a00, 0x560ca595,
+    0xdd7fa7d1, 0x2ff7b29b, 0xc698b6c7, 0x45c27183, 0xfef94723, 0xf14d0447, 0xfa2e40f8, 0xefd7b76e,
+    0x6c31c761, 0x168c5fcb, 0x5b7a9f74, 0xcd003873, 0x64ca76f2, 0x45e1d576, 0x45267966, 0x4d131dab,
+    0xdd106c11, 0x2dcbc291, 0x1b1af0cc, 0x650aa2b4, 0x1f6be5bd, 0x5d5cd372, 0xb0c1ab5c, 0x0dd6be91,
+    0x5433172b, 0x9e9d0508, 0xa08f728d, 0x0b642bc3, 0xda0d7a40, 0x4fdf1021, 0x6b51608b, 0x968b9157,
+    0x682ec749, 0xfa83593c, 0x9d2f4653, 0x93fb8e2b, 0x258a3ac4, 0x1f72fb62, 0xaacae066, 0x7ffecfeb,
+    0x72332b7e, 0xd0138790, 0xcecc1c0c, 0x914994d6, 0xf51d1fe3, 0xb25e8fea, 0x84269d00, 0x51dc621e,
+    0x0d918538, 0x6ee709e6, 0x6ba47e84, 0x612cec32, 0x887185b3, 0x8a3e0a06, 0x70ff9c64, 0x7c3ce86d,
+    0x73e92f23, 0x0c69683d, 0x444ccc98, 0xb53e7a3b, 0xd21a2c4b, 0x1fa93c6a, 0xd2e28402, 0xc2dd116f,
+    0xe1ab3b15, 0x6213b067, 0x57fa9e61, 0x7eef22a4, 0xf45a2d09, 0x5ee82adb, 0x38517ae6, 0xafd0bd62,
+    0x4de2a977, 0x2757cc17, 0x0ca56c08, 0x04124135, 0xcc75fd49, 0xe8bde122, 0x6fddd987, 0x87b9600b,
+    0x9a5843c1, 0x83bbbdf2, 0xaeb192ae, 0x767cdcae, 0x637149f0, 0xed8655df, 0x56c743cf, 0x0c22c7db,
+    0x4212fb71, 0xfd501b6a, 0xd7ac1750, 0x1de95106, 0xa9bf85bd, 0xe31f2336, 0xb88a8348, 0x424f4260,
+    0x7712a666, 0x2c21fd61, 0xa203c84b, 0xeb843a74, 0xfae5d4ad, 0x8a44131b, 0x942f43ed, 0xa3005271,
+    0x8acf9b99, 0x5abffb62, 0xe1489a81, 0x42b62c24, 0xdedb329f, 0x07e067c8, 0x470124e5, 0xdaa2ec35,
+    0x6f92c28d, 0x6af4215d, 0xde71be89, 0x185949f5, 0x59b3080c, 0xb201a53d, 0xb57901ab, 0x83fd7253,
+    0xe9954cf6, 0xd9b86ea3, 0x835ca170, 0x51446eb4, 0x10cbe942, 0x552f9f69, 0xb0e4c913, 0x12cf3248,
+    0x83cd8920, 0x76cba8b8, 0xfa3f9547, 0xb6845014, 0x930068ba, 0x13703dae, 0x86c5ec78, 0x4bea800e,
+    0x2bd2575f, 0xd95b6705, 0xa9ef0b55, 0x71d96c26, 0xab13d366, 0xe47b5edd, 0x684db5f0, 0x0805a2f3,
+    0x7947082e, 0x59cb8f84, 0x6c639bd9, 0xe7e1d6b7, 0x03578e68, 0xd37b31e8, 0xa62d2037, 0xcf6f512c,
+    0x5c01e121, 0x76448377, 0x6497c3a1, 0x7b744f16, 0x0269bbcb, 0x5506f9d0, 0x6336d54a, 0x7f76e0f8,
+    0x589cb38b, 0xe65352c8, 0xa71bceb1, 0x2053227c, 0xc7f1b223, 0x1f1e0756, 0xae93168e, 0x55754f97,
+    0xe8b324b2, 0x96b688c4, 0x612bb707, 0x33053760, 0x0988dc7f, 0x6accc46a, 0x3bc85ac0, 0x0cfeb76f,
+    0xd3ac7116, 0x44cbf228, 0xa275afeb, 0xdedb623c, 0x38fa4c7e, 0xfdd8d44b, 0x5d43573c, 0x3f46de8a,
+    0xeab172a8, 0x961918fe, 0x66523b63, 0x7853698e, 0xeccddce7, 0x0a015c01, 0xd586b6f0, 0x6eedcc29,
+    0x7d66dc71, 0xf550293e, 0x201b3028, 0x57fa6794, 0xaba28919, 0x1628e5fe, 0x712fddb2, 0xc4ca3fd8,
+    0xf03ff048, 0xa0ade3fd, 0x10ca22df, 0xe89e0ef9, 0x1939e157, 0x83beb1e3, 0x36baff8c, 0xe32099d2,
+    0x0432fc34, 0xe3e548aa, 0x6c680930, 0x25107cc3, 0x4e7e1d8b, 0x37a8ca6a, 0x74d57c5f, 0x143304bd,
+    0x8d507069, 0xcc52d0a3, 0xcb767fe9, 0xb33552d2, 0x59b12b10, 0x761dfd04, 0xcdcf3dfd, 0x201908c0,
+    0xecc21991, 0x353a1f14, 0x19a8e6b0, 0x1e081bdf, 0x9ae3a06f, 0x14055cbd, 0xbfdec21d, 0x93097da4,
+    0x47bbe2af, 0x05284336, 0x5e8daeab, 0x369ef79d, 0xf5da5a6c, 0x1129a353, 0xc6739914, 0x42797b18,
+    0x2db6403a, 0x3971e402, 0xc7c3e81e, 0x77ea74d2, 0x93bc14cf, 0x12be1faa, 0xdf2a15f7, 0x7742774e,
+    0x914768b3, 0xf16e236d, 0xc265c040, 0x29119ab6, 0x837b0503, 0xc7eb73fd, 0x92692eb5, 0x188bcb1e,
+    0x99f5b48a, 0x518ee432, 0x1a52ebf4, 0x57053db7, 0x8cb4653c, 0xa6b5cf71, 0x0a7dfeb7, 0x3c0dcdbc,
+    0x7ff0695b, 0x42f5ef0a, 0xa3da52d5, 0xf4ee64ea, 0xde4bae5d, 0xb82b682f, 0xe027fe2f, 0xab446869,
+    0x3e562553, 0x573e1398, 0x7fc05b27, 0xe3e7fae5, 0x08e75f30, 0xf6396e44, 0x097a380d, 0x17c32b37,
+    0x59aa1eb1, 0x10267d9a, 0xc534697d, 0xdfd095df, 0x57e6d077, 0xa61b9bce, 0xed60ab31, 0xc8152d15,
+    0x846b5219, 0x74168bed, 0x35ea3acb, 0xe3e82c45, 0x86130326, 0xdf869d26, 0xa6563856, 0x2ea13c3e,
+    0xadeb2198, 0xd006ed96, 0xdf54e59d, 0x98fe2ac1, 0x55e6ae17, 0x2419b2dd, 0x04ee5c36, 0x5566ab21,
+    0xd9fa5da2, 0xf7c6112a, 0x193256ef, 0xac701e77, 0xcd9fdff7, 0xa0430275, 0xc6a7ae59, 0x9e04d990,
+    0x36deaae2, 0x842a5505, 0x51a8687d, 0x1f329e16, 0xb4fa04da, 0x60ea7a4d, 0x15ead991, 0xaeda4041,
+    0x4a5ff7a6, 0x1102c474, 0x4ae4980d, 0x88750c42, 0x4b0b8045, 0x1cc5d545, 0xe292e31f, 0xc553af1e,
+    0x45ec88da, 0xb1f80b4f, 0xf337991b, 0x3aa17f21, 0x417eee4c, 0x00063a82, 0x4bcc065f, 0x96ad546e,
+    0x14404eca, 0x5172ea66, 0xdee3a335, 0xa1b99329, 0x546c4492, 0xf503af79, 0x6bc272f2, 0x8477ddac,
+    0x448860eb, 0x7e1b97fb, 0x1ed24cea, 0x0a0c2d49, 0x5c1d95d4, 0x8bc61831, 0x8b46a824, 0xc4da2d28,
+    0xf26d99d4, 0x85197758, 0xc6a2158f, 0x23224027, 0x5be5f17f, 0x1579f57e, 0xf32332ad, 0xa54ed4b6,
+    0xfa4cfdff, 0x75446540, 0xc0f49574, 0xe63e1e33, 0x21bbfee6, 0xf101cc36, 0xcf78e9aa, 0x0908fe34,
+    0x446cabb3, 0xec9eae42, 0x35fd589c, 0xc66a1390, 0x2120fb94, 0x2483b1bc, 0x6792382e, 0x2ceeb8da,
+    0xd985f0ae, 0x3fd666c0, 0x04e259ed, 0xfb818df0, 0xff9b3f98, 0x691428bf, 0x6c3ac883, 0x4eafb333,
+    0xfc152b79, 0x343177c5, 0x49a7634d, 0xd14895e2, 0x5eb7d2e8, 0x27d2ca46, 0x511c06f4, 0x628818cb,
+    0x2689dc35, 0x3a195191, 0xad0fbe24, 0xc4bf8698, 0xf89c49d3, 0x8dc97ce3, 0xaa102a96, 0xb29fab71,
+    0x0dda4fe6, 0x2f769b39, 0x83a71767, 0xd64e0a28, 0x338f6889, 0x66f0d5bc, 0x0483c446, 0x61d2fb6d,
+    0x00cd5d10, 0x6f3d1054, 0x5984ee85, 0xf6e07b04, 0x4cb3e7ca, 0x5f2532a2, 0x3ff56f5a, 0x0af624c7,
+    0xb036f8f2, 0xa6f9be56, 0x0a3fa82c, 0x5724f7e7, 0x3689c740, 0x3b92c980, 0x047ba3bd, 0xdb42234e,
+    0x18c78325, 0xa552ecb9, 0xcd1a6625, 0x88777b72, 0x211be556, 0xe21e2a53, 0xd3bcdcbe, 0x3759d161,
+    0x40c211b2, 0xed07b7a4, 0xb0a97e0a, 0x6a362105, 0x24e7ed08, 0xed8c2060, 0x5b367b68, 0x16d11230,
+    0xe415e02b, 0xa707b54a, 0x0737e07a, 0x1b704aa0, 0x7ebe068b, 0x54aa3715, 0x17a4286c, 0x58b418d3,
+    0x27dfb207, 0x7586165b, 0xc6982844, 0x86a44d15, 0x4a4eab4f, 0x7cbb7ea8, 0x3cffd808, 0xbad9c140,
+    0xf1fb9c6a, 0x13c99ee2, 0x8f9b09df, 0x1c618987, 0x1085509e, 0xc3844695, 0x435c3d74, 0x6ba58286,
+    0xfc20a9bc, 0x09c8474e, 0x6957187c, 0x7a9a5712, 0xeff5c471, 0x9bc6e42c, 0xe51b4d11, 0x14d69478,
+    0xe49381cf, 0x32372e12, 0xe187b088, 0x9e1f5543, 0x8761eb8b, 0x73aaa5da, 0x8462c69e, 0x88c28c58,
+    0x5a7f74fd, 0x0994fa71, 0x66427818, 0x490a8671, 0xa732e855, 0x5017b71b, 0x3d583ead, 0xe460b3d9,
+    0xe83ead46, 0x9adaf978, 0x22345f05, 0x3ab9c8d2, 0xdbadf81c, 0x37bf9472, 0x473cfd51, 0x6a23b8e7,
+    0xca74267b, 0x8bf09e9c, 0xebfe780c, 0xa941b7c2, 0x669cb435, 0xc8f4990c, 0xafe5b68b, 0x2f0e197b,
+    0x664d4f60, 0x9fa6cdb5, 0x3b3101f4, 0xd6fc8a0e, 0x19cda741, 0x11c91c40, 0xfc81ad3e, 0x277feb74,
+    0x0580cedb, 0x52e47898, 0x63f6f593, 0xc100fa7d, 0x20ab3865, 0x86073959, 0xd430df40, 0x192bc8d1,
+    0x2fdf1f8b, 0x1e4b80a5, 0x680833c2, 0x2dab7a4d, 0x197eeaed, 0x23f4d001, 0x657bf0a9, 0x5695ebfd,
+    0x8deb46a8, 0x7d647c79, 0x0c90b9c4, 0x868e1278, 0x5c1b7933, 0x60d62431, 0xa56a6e42, 0x8f34408d,
+    0x9647d239, 0x1ecb039b, 0x02accea1, 0x3ed07634, 0x2778a158, 0xaaff0629, 0x4323f614, 0xe73a5e02,
+    0x1a42ce8f, 0xe2c9abd1, 0xd1ac13f8, 0x86e0c4a6, 0x2a04e8d7, 0x06236a60, 0x08d89255, 0x64ab5e85,
+    0x3fc68f13, 0x2dec2e0c, 0x43fa22bf, 0x7cf777ea, 0xd96d8002, 0x145078cb, 0x08abff3a, 0x791d2782,
+    0x8fa8dad0, 0xc10a790e, 0x2e7a80fa, 0x360d34c6, 0xb46e61cc, 0xb893cdbb, 0x276e1463, 0x1b64c138,
+    0xa6b6ee70, 0x51bd8890, 0xff16ecd1, 0x24c3d038, 0xad6af493, 0xd90b3ee0, 0x66fa8dad, 0xd608106a,
+    0x2520ed2a, 0x3656b276, 0xa09c6f47, 0x1d3347fe, 0x982585a4, 0x87e9723d, 0x2e2d55db, 0x414582e5,
+    0x00000000 }, /* 10**-00000001997919072202235028084222227067626435679102811305581536549860454160237\
+                          91284464999687699590596063486154228923591770023865308670443474450259602571264 */
+  { 0x00000000,
+    0x3fffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbe,
+    0x8c3d317c, 0xcd7810b1, 0x157062e0, 0xeda0aa4e, 0x297a14f5, 0xe508dbfd, 0x4d1ad598, 0x074e9957,
+    0x00000000,
+    0x9eea1d2d, 0x4065b8dd, 0xd2db5e29, 0x2ff82846, 0x3bde2504, 0x00827864, 0x945c08ca, 0x83886538,
+    0x24cefddc, 0xdf22eb95, 0x74d61789, 0xef43d985, 0xa37fd8b3, 0x2c152b7a, 0x8cecf094, 0xd176fa5b,
+    0x4cf590c9, 0xbcfd4cc5, 0xe4b2111c, 0xc6257639, 0x068ff995, 0x9be497d1, 0xe61e807b, 0x33f6fa96,
+    0x238da75f, 0x05b7dfa6, 0x8b9f70f6, 0xa019d52f, 0x131887f3, 0x698279c8, 0x563770de, 0x89bbf366,
+    0xfa5db245, 0x9421c875, 0x97239109, 0x569b30c6, 0xfb58f20c, 0x50185337, 0xca025913, 0x6bfd36e2,
+    0x868053cb, 0x4e56bd1a, 0xe1682054, 0x6d5339f1, 0x0590ceda, 0xfe75d80c, 0xe915ec9c, 0x2bb5ea4e,
+    0x9a484166, 0x94514e2f, 0x625b8684, 0x917af41a, 0x5876e4b4, 0x5ffd19b4, 0xa3cfa712, 0x50f25e68,
+    0xcfe59f33, 0xedf7c1fd, 0x3afe1b06, 0x1614f03f, 0x8469de5e, 0x6a90f156, 0x17fb8490, 0x8f45497c,
+    0x0891c3ff, 0x6d634554, 0x3b37abea, 0x25e22b04, 0x6c593b63, 0x0173b041, 0x0971ea23, 0x64ec8a54,
+    0x3dcf9e30, 0x0e78b8df, 0x4570fbd3, 0x0ab45c07, 0xcf3ac743, 0xbc19a07e, 0xe81aaa37, 0x58b504bc,
+    0xc38f75ef, 0xd67edab4, 0x78cb6251, 0xf7bccb4e, 0xa80730da, 0xc6f99c99, 0x218a7c4c, 0x522f174b,
+    0x7dc3c26a, 0x6e18506d, 0x65b67ef7, 0xb3a2778e, 0xa9b7e334, 0x19f1f49f, 0x9ac64592, 0xce02ba89,
+    0x126bc5e5, 0xb022d473, 0x108b4460, 0x94ff7a8e, 0x87aca522, 0x75501c19, 0x23d08c99, 0x3e0e10c9,
+    0xbdced0f0, 0xdfa0a603, 0x86705824, 0xf76d55aa, 0x4fec200f, 0x42042090, 0x0b9e8137, 0x00980993,
+    0x3f20bb8b, 0xb8cd3c67, 0x843994e4, 0x921dd49a, 0x5182f6f5, 0x65868d0d, 0x1afd5d9d, 0xdd259c48,
+    0xd74899be, 0x25624fb3, 0x6a9c6870, 0x0a77fe15, 0x2699f284, 0xc6269ebe, 0x526b11f2, 0x9f45a22a,
+    0x12bac2b4, 0xe47031b2, 0x419b244f, 0xc7849ff1, 0x3ef90fda, 0xfd9a62fc, 0x0a40db89, 0xef573414,
+    0xfe645cb3, 0x9aeaf752, 0x239c9b40, 0x2b629d3c, 0xeff6627f, 0x5dfbf1a3, 0x53207b10, 0xa03973bb,
+    0x72927076, 0x0a0f262f, 0x501dc0a2, 0x8faab854, 0xc70fd786, 0x4b6a8071, 0x15600a0a, 0x0a30747e,
+    0xf0988f09, 0x1e8b6b33, 0x7313552d, 0x98402686, 0x226bd9c7, 0xe75fd280, 0xefc7df19, 0x107a4b28,
+    0xa31bcdbc, 0xf620eedb, 0x1ff5ec5c, 0xec125afc, 0x1366dfd8, 0x24507a56, 0xa0ebd908, 0x790beabc,
+    0xd1469135, 0xd74641bd, 0x94d6c6c0, 0x100467fc, 0xa9ed634d, 0xd3ea5b37, 0xcda4ae0b, 0x36301293,
+    0x5a4346ce, 0xb305d885, 0xe3739fdd, 0xde678d3b, 0x20683436, 0xfd62c7fb, 0x824e26fe, 0x1b57b28b,
+    0xd8d96ae0, 0x31515c26, 0x99d6e810, 0x9009ff9b, 0xa54e4159, 0xf1708bce, 0x5a6bd239, 0xb696a97e,
+    0xfaf267df, 0xf3429bc0, 0x397bb91d, 0xb3cc7798, 0xce38102f, 0x5b286da6, 0x2214126d, 0x90ac6863,
+    0xae1c77ec, 0xc2423c8e, 0x59eada3a, 0x6ff09c1b, 0x90409946, 0xbd741f2c, 0x33ea57e0, 0xf1efcfef,
+    0xa2dfb765, 0x6bcc4244, 0x525f4445, 0x49e2f945, 0xec537657, 0x50086235, 0x1aa963e2, 0xd0b1bce8,
+    0x891c4c47, 0x787d6b3c, 0x27ca6feb, 0xdf61b828, 0x58e23644, 0x24960b28, 0x9824b642, 0x6705b56c,
+    0x1fa9f899, 0xb1d6e5f6, 0x334c6767, 0xab4a5f08, 0x0cd59fe6, 0x771ce5c0, 0x148eeeaa, 0x58304f36,
+    0x0d01bf45, 0xf5d49074, 0xdf8a9500, 0xb3f746a3, 0x1f0fee60, 0x08e8effd, 0x5fc7beb4, 0x749e3e9d,
+    0xb94388e7, 0x173b843b, 0xbd09996a, 0xbde26fcf, 0xd05d05b4, 0x53e8131b, 0xdeb45e45, 0x7f74e296,
+    0x050f41a1, 0x301cc4a2, 0x23271fde, 0x58b6cd60, 0x7d1b1737, 0xe86b04a0, 0xe8328dc3, 0xb821cee9,
+    0x962729f6, 0xbaf1277b, 0x7b5da88b, 0xfb80e9f5, 0xdbe3c818, 0x81cc22e1, 0x4acb6936, 0x85dbcd34,
+    0x9c7fda08, 0x09d54c77, 0xa8de0868, 0x57e6a399, 0xf31eb575, 0xb0b1c182, 0x7cf99768, 0xeff859d0,
+    0xd1247db2, 0x7a9e8ff8, 0xff29264f, 0x8e19a32f, 0xc480ae23, 0xf3cb6447, 0x5c168477, 0xe743ab0b,
+    0x665db395, 0x373b661d, 0xde7e7ad6, 0x2913cbfc, 0x0af838cd, 0x51146902, 0x5d91df35, 0x3b5af978,
+    0xa446679e, 0x2ead82b5, 0xc438ab78, 0xb9003456, 0xacacf7b3, 0x7f740590, 0x8563e319, 0x251de18f,
+    0x76804372, 0x65966fd3, 0x5f3d3f1a, 0xc9c49197, 0xd7c34093, 0x0c30ad3b, 0xbc68790a, 0x91849787,
+    0x1621b8c1, 0x377fb761, 0x8ec1ded7, 0xf348baf9, 0x7ae429d2, 0x257aa9b8, 0x5d575e07, 0xde711972,
+    0xd96e197a, 0xfbc79910, 0xf3b8f77d, 0x38cb8383, 0x888f82de, 0x0896b5d8, 0x9a3ad1ce, 0x1c1582af,
+    0x87ffc9d2, 0x38759745, 0xb1c84a98, 0x8d48a49c, 0xc7d5c9e4, 0x1c78064a, 0xb1554fb9, 0xfcc1cdf8,
+    0x621226fa, 0xa45bfc62, 0xb02877af, 0xf351dc48, 0x28f90da6, 0xb0586f66, 0xe1120c36, 0x7df67f7d,
+    0x12f96aec, 0xac963c3f, 0x7aeb53a6, 0xe711832c, 0x2c17fa61, 0x918c126b, 0xe68f55c3, 0xaba624d2,
+    0xb9ced06e, 0xb2c13a57, 0x27810228, 0xf62dd90c, 0x02e3edd1, 0xc7e17b28, 0xfecd05f4, 0xbe418e23,
+    0xc41ae21c, 0x1bfe5999, 0xaf27b2fb, 0x8c826bbb, 0x490aec7f, 0x12ebf3a3, 0x034b5118, 0xe7961e9e,
+    0x611d1b96, 0xb6135529, 0xb4db7345, 0x9f3bf96f, 0x502ef618, 0x235ef2b3, 0xb7c165ee, 0x7fa9ae9d,
+    0xf145513f, 0xd21ccef0, 0x32de062a, 0x7baf7e9b, 0xe167768d, 0xc339a02e, 0x35a3d909, 0x01dcd639,
+    0xef229bab, 0xac42dad3, 0xc0a21f57, 0x1318710a, 0x88215fdc, 0xb6623c1e, 0xdb0c5f3f, 0xee1e5c29,
+    0xcb3ca192, 0xe5bc0322, 0x8d4fb764, 0x6c62b32e, 0x4fd26e8a, 0x1975ddb3, 0xe56b415a, 0x265576dd,
+    0x63043b4f, 0x024a7a8c, 0x91632207, 0xe48eacb8, 0xda02ebe0, 0x018dd239, 0xc04d8559, 0xba31a4ab,
+    0x789614f8, 0x58f6bba1, 0x383f650f, 0xba775c17, 0xde922ee1, 0x847987f6, 0x7020653f, 0x275f1172,
+    0x3fc16191, 0x5d9f398e, 0xd3d25e43, 0x271200c4, 0x9b93b7e0, 0xdcd5c533, 0xeed5fe32, 0xa55889e7,
+    0xaca5f270, 0x9baac488, 0x13fd19a9, 0x549e8f47, 0x3408fd13, 0x06331732, 0x1952f4e8, 0xacbe4206,
+    0x82b656d6, 0x1b270d11, 0x2e3e2f30, 0x64f27efc, 0x4a456973, 0xb98926ca, 0x264c3122, 0x1c9f625b,
+    0x0c2fa2de, 0xc47f7caf, 0xaf894fc6, 0xcaa0e962, 0xa6e710cf, 0xec9d6d3b, 0x68b529f4, 0xb9684420,
+    0xdf1ec8bd, 0x73efeb12, 0x0f82b972, 0x61207874, 0x24de8635, 0x2a68633a, 0x3b9cddfa, 0x5f94378e,
+    0xb9cafa23, 0x71bce68d, 0xbc7ce784, 0x33722d15, 0xdee2eaf7, 0x880e3b3b, 0x40b6eb3f, 0x41d551fe,
+    0x59579d29, 0xdba6d2b8, 0x580e3398, 0xb6bcef3b, 0x2a242dbb, 0x9f73469d, 0x2be21761, 0x47dd76cd,
+    0xa6eb57c8, 0xa750d938, 0xbe34f864, 0xd8bc23f0, 0xca113875, 0xcf1af0b4, 0xc941078e, 0x2eb70a17,
+    0x0f6dbffc, 0x48c64b88, 0xc85d06ff, 0x1723afb2, 0x6d51392c, 0x4aa7f62d, 0x9ca6888e, 0xa8d3fbaa,
+    0xb225adf1, 0x58df8493, 0x2ffa5ef5, 0x53511d86, 0x45b3ec98, 0x8124d419, 0xfed450c5, 0x54fd2602,
+    0x65618234, 0x52b7351b, 0xda3d4f0d, 0x062ae215, 0xb2a1141a, 0x32039db6, 0x1726946d, 0x110bb2ec,
+    0x8680e60c, 0x265c9081, 0x9156bfce, 0x412480f8, 0x16453d3f, 0xac14c232, 0x20f25dd0, 0xa9989da6,
+    0x370c223a, 0x3500522c, 0xc45da042, 0x15d56b4b, 0xba6e70d7, 0xd61a87e3, 0x273b2762, 0xf9b839ca,
+    0x9907fc2f, 0xe90c8d8b, 0x08a3353b, 0x59da7d6a, 0x2b5b632f, 0xc58499b6, 0x69446795, 0x5e2165f6,
+    0x5db6cec0, 0x475cc134, 0x61116e51, 0x680ca3a8, 0x997eb364, 0x3093881d, 0x73afd714, 0xab61225e,
+    0x80a72842, 0x4ec1272e, 0x2dca8412, 0x5a83979e, 0x47f200bc, 0x51c8e10b, 0x5a86e432, 0xa6b7f09e,
+    0xf185dfd2, 0xea2d3bf9, 0xb8a90ce6, 0xebbc189e, 0xea20fc50, 0x0cdc538f, 0xfb2536b1, 0x58ff5ad7,
+    0xd3175bcc, 0x19b0df51, 0xfa74d3b3, 0x8e6a8d67, 0xb0b3c65a, 0x28faeecc, 0x6cabd38c, 0x78895270,
+    0x256d4465, 0xe2b9e2ab, 0xac31f440, 0x30c73654, 0xa5e8fe3f, 0xda9055a3, 0x1079073e, 0x2f5f34bf,
+    0xe989018c, 0x001dc85d, 0xef9f6380, 0x5abdf886, 0x6aecc5de, 0x9d55c25d, 0xb21b9c00, 0x9152956f,
+    0xaf7c707a, 0x239baa11, 0x1997d4c3, 0x71ee5c40, 0x0e3101de, 0xd7ed34f2, 0xb8d309cd, 0x5558b9a6,
+    0x9190b3a0, 0x30d39c0f, 0x209dc1ae, 0x3f09bc57, 0x774cd409, 0xf72c8ae7, 0xbef2c180, 0x4fa1434a,
+    0x848b5f33, 0xdd0b17b7, 0xb1540a17, 0x8a9dbe9d, 0x37a3f1ca, 0xe9d3c8c3, 0xb331e4e9, 0xcfcff1d6,
+    0x46c47768, 0x3fe96c8b, 0x0ae36682, 0xfbcba451, 0x505b207c, 0xb6adfa18, 0x27834157, 0x480e9c69,
+    0xfdc787ab, 0x49237c65, 0xaf90b705, 0xfd0bcf3d, 0x07f5335d, 0x2e3878dc, 0xd50c8eed, 0xebd78d2f,
+    0x09142fd8, 0x653c6b0f, 0x4f1b975c, 0xb5d4a4a4, 0x87e8d61d, 0x8f36d630, 0xa86e7fe1, 0xd9a96117,
+    0xd235c331, 0x34c5bd27, 0x14b5b0e6, 0xf278a334, 0xc73543a1, 0xa3d86171, 0x5722f0b6, 0x38dad118,
+    0x6f1977ae, 0x9f1361f2, 0x07753c50, 0xe0144d28, 0xa472e740, 0x6b76ce40, 0x7c105316, 0x1baeb00a,
+    0xef013d58, 0x692743b8, 0xe848785c, 0x5209b85c, 0x31ee47a2, 0xfda5209e, 0xebd2925e, 0xc2059ad0,
+    0x4980ef2c, 0x313732e4, 0xd303f026, 0xbe0d4f66, 0x97a7f92f, 0x66796615, 0x39cc2b3d, 0x7c1161a5,
+    0xcc7c3714, 0x96877c92, 0xdf6002ff, 0xc8c8f567, 0x5cc826ee, 0x2196a7d3, 0xc0022bed, 0x47b9a51f,
+    0x8a5bf1d8, 0x71ff1e8d, 0xb3baa85d, 0x495613be, 0x6bd1e630, 0xef91981d, 0x743ddd0e, 0x2c3f58cf,
+    0xcf519b89, 0x48d04ff1, 0xc7219d40, 0x2a73ef40, 0x79876785, 0xecb77821, 0xa625070d, 0xbac5fbc7,
+    0x600ede24, 0xf5ebe7ec, 0x7b286d45, 0xa279e222, 0x29ef7c03, 0xbe9bb419, 0x819233d1, 0xd1d2cb65,
+    0xc3476629, 0x8f162b33, 0x7361af45, 0x9d61b610, 0xb6124338, 0x638b17f3, 0x0eb1df4c, 0x99a4f150,
+    0xf6690e17, 0xb708f1c6, 0x8e5e6355, 0xa371a98b, 0x25fa2094, 0x47f476ed, 0x3bb30af8, 0x79db9b8d,
+    0x416349c4, 0xf9e65b23, 0x71e2720c, 0x6cced324, 0xc884eae8, 0x2f9ebc4f, 0x2b418a84, 0x27a6446d,
+    0x992d83cb, 0xc9e74e3f, 0xb8b2b057, 0x1200a8b9, 0x408be16a, 0x3b0c25ef, 0x4c5072ea, 0x19bc4fa2,
+    0x5f2bc984, 0x804e2504, 0x5ed0d19e, 0x62426183, 0x6e691cf2, 0xfd67b469, 0x5427dc1a, 0xa467f24e,
+    0x92a69b82, 0xd58c3802, 0x1d418100, 0x88664ae0, 0x4cc3470a, 0x0f62b423, 0x5aff6faa, 0x0b0eed0a,
+    0xebbd00be, 0xeea4b02a, 0xba8172b6, 0x92b7c9a9, 0x3275c0a8, 0x0075d905, 0x3003e115, 0x2015fc24,
+    0xd1ce03dc, 0x6d010efa, 0x69712152, 0xeb0dfed8, 0x67b28f4d, 0xddd0bf42, 0xabb79b60, 0xdece77e0,
+    0x4ff4e4fb, 0xabac8e4c, 0x8ccaf679, 0x31937639, 0x15a2141f, 0x5abfffb2, 0x66ca4448, 0xb8a91fb7,
+    0x4dbcf2df, 0x0111835e, 0xd3c60e5d, 0x9179d676, 0x58a1d750, 0x26400f95, 0x867fdedf, 0x4626ce85,
+    0xfeb9f426, 0x84f335e3, 0xdb89ebab, 0xe27ddd58, 0x50b18cef, 0x948e2848, 0x071c4452, 0x8b768cba,
+    0xe6d949ee, 0x0f0ee252, 0xabe96227, 0x54fa5344, 0xac4eb5fb, 0x7bcdf059, 0x9e535b4d, 0x7f4bf9f0,
+    0x3d0de036, 0xfc5475b3, 0xc7c8ef2f, 0xabe38fd3, 0x980cdc42, 0xa64d7a8b, 0x68b4fc50, 0x85b8fc9e,
+    0x4ed4d270, 0xa9804c29, 0x2f008e36, 0x39fab49a, 0xa9d9872d, 0x31eea067, 0x15b8ec52, 0x207585e1,
+    0x085976d4, 0x69a9ea43, 0xd5592b79, 0x8603a9cf, 0x65616f7b, 0x784dadfa, 0x72f269b7, 0x78f8184d,
+    0x0799337a, 0xbbde4c92, 0xcb245bb0, 0xaf07461b, 0x84b96905, 0x6596c4a8, 0x2a0ec3f1, 0x4d170a5e,
+    0x923cc696, 0xe7d24b27, 0xf42b9d88, 0xcdbe7482, 0xa4515462, 0xbda7e0ea, 0x60563b84, 0x211753b0,
+    0x0ecc0e0d, 0x980925b6, 0x9ed65aa3, 0xf853031c, 0x5d2d3c00, 0x939eaa77, 0x37003391, 0x7a11d6ba,
+    0xe952edc1, 0x844772a9, 0xd73d5cbd, 0x2c442e27, 0x2e3bf5f4, 0xe50e7fbd, 0xc5bf5bdf, 0xa111c8fe,
+    0xd647cdee, 0x7899d22b, 0x9d5a1342, 0x1bc64326, 0x5fd522f0, 0xfaf29688, 0x19d866ba, 0x10218b4e,
+    0x457784f0, 0xad4e1483, 0xf4dc310f, 0x289b8702, 0x6a3cec04, 0x7c6f2cef, 0x096d64be, 0x7d16545f,
+    0xc9b852c3, 0x71873fcc, 0xc1d2e0db, 0x018f829c, 0x385a1d89, 0x2dd5c934, 0x6179f133, 0xabc0efbf,
+    0x098dfb60, 0xa14f592a, 0x73832b0c, 0x66594789, 0xef5938ed, 0xdef0f4c1, 0xde7f02d1, 0x4d5ea9cb,
+    0x3556683d, 0x5afc6077, 0x0ea7555a, 0x9853a82c, 0x27c17630, 0xf6810444, 0x57f602c9, 0x4aa82c21,
+    0x45c136d6, 0x466580e2, 0x05a56f95, 0x3520fb35, 0x5b3647c7, 0xb76909b2, 0x32f5b63e, 0x01442d80,
+    0xfc00e136, 0x1d82e942, 0x774fc7a3, 0x64c9676b, 0xee7c2f04, 0x5bd46341, 0xc172fa8d, 0x0f1ffaae,
+    0x1775f3fc, 0xa1a25cf3, 0x5029a45a, 0x88a1fd65, 0x91fd9429, 0x5fc55614, 0xa072a8af, 0x5489f8da,
+    0x6d8fdf42, 0x7c6004a7, 0xfc79d652, 0x00ec00ca, 0xd1a35cb1, 0xe596cd6d, 0x2baf09a3, 0x7a012fb4,
+    0x10862b53, 0x1d24a9d3, 0x87492e30, 0x5e37faf3, 0x0595bd96, 0x3ccf8ce3, 0xec3ca68a, 0x3305b6db,
+    0xb142a5d0, 0x521c4491, 0x85d2b8f7, 0xbbee4c85, 0xa039576a, 0xf7efa7aa, 0x96c61375, 0x85a9dfd5,
+    0xc6cf575d, 0x356a1bd4, 0x808edbc3, 0x871edd12, 0xfbb352b9, 0x0318805f, 0x7b411620, 0x4eb2a88f,
+    0x446adb89, 0x9416cd45, 0x87daf6f6, 0x222ded49, 0x7d2ac0a4, 0xecc43b2c, 0x09f6d0e8, 0x58381c0b,
+    0x6c523ed9, 0x62862371, 0x4c9bfa01, 0xc356634d, 0x188f9b78, 0x30164f5b, 0x9025cb98, 0x4f29bfdc,
+    0x404d7291, 0x7176f7e2, 0x14bada9d, 0x05b01513, 0x0b41165d, 0xf1a03195, 0xa0b9f908, 0xc046d17d,
+    0x48024848, 0x1e21fc78, 0x08cc2da2, 0x51390503, 0xcd2fffc7, 0xad73d632, 0x93e2d1f6, 0xb606090f,
+    0x7563a13a, 0xc0761bbc, 0x65e742f0, 0xc6c18fc2, 0x2a9fe5f8, 0x12f82ac5, 0xc9136096, 0x99063d19,
+    0x0234a954, 0x9007045a, 0x9f7d8d17, 0xf3b21e14, 0xc779d41e, 0x1dfc9319, 0x6d3c8284, 0xca00e34d,
+    0x21072f9a, 0x83f3b620, 0x1f13e47f, 0xa2582715, 0x37c86240, 0x572d7e7e, 0xa1e1e0d8, 0x63375b27,
+    0xe6b95fa0, 0x22700de6, 0x6d2a7f2e, 0xeded7cae, 0x3f96b8c9, 0x24b89869, 0xd62065a5, 0xb172cdcd,
+    0x3080d1b0, 0x992a1c1a, 0xe147104a, 0x62c71acc, 0x35a904b0, 0x031e9520, 0xea9721a4, 0xa04a0404,
+    0xcf4a7e8f, 0xe3b1da15, 0x8b064d78, 0x86d7d59f, 0x0dc8c28e, 0x8ba50e4b, 0x63fdf91d, 0x7638d725,
+    0x00000000 }, /* 10**-00000000998959536101117514042111113533813217839551405652790768274930227080118\
+                          95642232499843849795298031743077114461795885011932654335221737225129801285632 */
+  { 0x00000000,
+    0x3fffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfdf,
+    0x461e98be, 0x66bc0858, 0x8ab83170, 0x76d05527, 0x14bd0a7a, 0xf2846dfe, 0xa68d6acc, 0x03a74cab,
+    0x00000000,
+    0x8e9f4078, 0x5194dc1b, 0x7a4f6f74, 0x67752275, 0xc7e72486, 0x7cf8907a, 0x343595e2, 0xeb7273ad,
+    0x9f8bbd06, 0x4016d714, 0xae16a215, 0x25c5c897, 0x8f6b6bb4, 0x6a3b14ec, 0xc08ebb40, 0x4a1d6c71,
+    0x8da28955, 0xf28f9529, 0xc0b43d4f, 0x033a0b45, 0xf5f270c6, 0xb5cf29f6, 0xd9c30994, 0x8b68a02f,
+    0xc0d2be53, 0x32c02922, 0xa09e3952, 0xb18886b4, 0xd2645b6d, 0xc3d3915d, 0x16a6f6ee, 0x4c21a98a,
+    0x1a302669, 0x84463f02, 0x8aa12a8f, 0xa69f9b5b, 0xae7c4180, 0x5c5c48fa, 0x2bffbfd9, 0x89e201be,
+    0x6af5edb4, 0x82d5df9c, 0xa53de622, 0x7c823e9e, 0x2838a910, 0xf50eb47c, 0xb54827c8, 0x85ba58f0,
+    0xb45b2f08, 0x78ead5a0, 0x491a9829, 0xee58bc27, 0x47a09168, 0x0097a174, 0xc8e82c0a, 0x5cb3172d,
+    0x9f525944, 0x93b23708, 0x7d5a34fd, 0x0c8f27c5, 0x9dd90554, 0x0818c2d3, 0x8aa46797, 0xac3e7297,
+    0x00b48213, 0x60d540fd, 0x5150126f, 0x7c157818, 0xdc3e1466, 0x8130c05f, 0xf5d1716b, 0x32987d30,
+    0x17ea22c7, 0x94eb2acb, 0xfc45f5cb, 0x493cddf5, 0xba8a8ada, 0x90f24a98, 0x1cda3207, 0xad5f20bc,
+    0xb03c065b, 0xc63dca81, 0x422d5456, 0x79a2e718, 0x38a7481d, 0xdd2062f0, 0xb7664766, 0x0872ddea,
+    0xcca7c1f9, 0xd2f476d2, 0xfc2031e9, 0x7a7a28d1, 0x3c8c112e, 0x81e786ac, 0x959adf09, 0x17b0adec,
+    0x2e62d666, 0x1ef46e7b, 0x1aad124d, 0x4f377d40, 0xaaf5e06b, 0x7edf6fe2, 0xe99ae0ec, 0x791196ce,
+    0x3855a43e, 0x78a81dc0, 0xf92190d9, 0x87f88099, 0x6da3745e, 0x4b27936d, 0x7d1a629a, 0x602113e3,
+    0x9c90dc75, 0xe012a734, 0x5451958e, 0x58116bbd, 0x322b47d7, 0xee0b4049, 0xb56072af, 0x74bef3da,
+    0x966c37c6, 0x53d72ea2, 0x66937ffa, 0xe587b5c7, 0x3065e940, 0x9b18c487, 0xd3de88fa, 0x75302e6c,
+    0x2f7f1439, 0x26c120b6, 0x5c9c629a, 0x1a3c835c, 0xb26af65a, 0x2e178617, 0x1f40cbf1, 0x72f9521d,
+    0xda3a2ba4, 0xdee77d14, 0x297acf10, 0xc6cfc9f5, 0xd8baa94b, 0x3561f898, 0x6d27dae6, 0x59dd19d5,
+    0xbd12976f, 0x438a4969, 0x228d4021, 0xbca2cbdc, 0x60c347d0, 0xe0e70bf3, 0x48f7f630, 0x19d8a3f7,
+    0x96262e7c, 0xbf0d87aa, 0xa05dd04c, 0xc78e34dd, 0x1df9e526, 0x90200029, 0xb1715ab3, 0x23796a16,
+    0x5b544eca, 0x58521ed8, 0x73f611ed, 0xa8aad337, 0x35603773, 0xe2cb73e3, 0xb5389236, 0xfbb1fc50,
+    0x1fe60062, 0xef652cc4, 0xebebcdfd, 0xe18d95ae, 0xac0c4a50, 0xc1104889, 0x21c0de36, 0x3fe9b547,
+    0x01c67e27, 0xd1087ff2, 0xf86e62d0, 0x0c3ce63e, 0xfbbade63, 0xfdb5126b, 0xdaf8df50, 0xbbd2cbad,
+    0xf5e93cb4, 0x0cb53062, 0x1fa61442, 0xcc9f14ac, 0x8bbe5dab, 0x377cb8eb, 0x59a6742e, 0x1c1ee77b,
+    0x400db556, 0xee8570ae, 0x152e269a, 0xd3646a4f, 0x7e63c90c, 0x15eb0894, 0x71175625, 0xded1bfbb,
+    0x9d2d82af, 0xebe8d630, 0x788d37dc, 0x0b2afc87, 0xd7c472e9, 0x9fc97a58, 0xc1beb20c, 0x0f185b12,
+    0x0a07f593, 0x58cf7476, 0x96582c79, 0x324d0dea, 0x76554103, 0x626e6cd8, 0xda49d563, 0xa570d3fc,
+    0x3f8c2ccf, 0x2ade24ff, 0x242f05a4, 0xcd9c1d9e, 0xd5a867aa, 0xc0f1c112, 0x9ef208d7, 0xf81288f7,
+    0xfe0ef112, 0x4127b050, 0x342da2b5, 0xb5d1822c, 0xcf3ad0a1, 0xb2119e1e, 0x22dbab34, 0x792a14cf,
+    0x309ee307, 0x7c05149d, 0x583cbc7c, 0xe6ef02a7, 0xa431166b, 0x14419382, 0xaa0efff8, 0x9950ba16,
+    0x634d80fb, 0xa213990b, 0xf1be8cad, 0xecf94c3d, 0x27bcee72, 0xaad6433d, 0xed4e09a4, 0xfd93f1e4,
+    0x6eaaf4e6, 0x28fe9148, 0xeac82502, 0xfdec2d06, 0xf4bf29f8, 0xca2488fe, 0x04839379, 0xc761ddbb,
+    0xb5421aaf, 0x4e63f046, 0xcc60ec2e, 0x5da1b710, 0x34842c75, 0x964b8a4a, 0xe3b0fb1e, 0x9e54018c,
+    0x6c3c099c, 0xe6bd5656, 0x1ef3b002, 0x1e6e7ed8, 0xe554b391, 0xb49da4c5, 0x0c5a3803, 0xcb0988c7,
+    0x5317953c, 0xad0d8ae1, 0x84feabf0, 0x93da66c9, 0x0a24f963, 0x9e05b63e, 0x4473c57d, 0xbaf42834,
+    0xdd0a4e4c, 0xb0c7c70a, 0x1f17b677, 0xa4219524, 0x756f19e1, 0x49963b24, 0x9957ebbe, 0xf0106901,
+    0x14028c2d, 0x3f8b41f0, 0xa4c29bd5, 0x69377ed3, 0x77b14a7d, 0x43d6ea44, 0xe3741faa, 0x35aec79b,
+    0x74cabb95, 0x69c8601b, 0x5b93008d, 0xbb5c06be, 0xd2411a1e, 0xc11e3033, 0xecc45f1e, 0x291004ee,
+    0x883021ce, 0x56bd6238, 0x292a9788, 0x82e3b8b4, 0x92030fb5, 0xb07410b6, 0xd80961d6, 0x1386bf6a,
+    0xc6ca87d6, 0x005f8dda, 0xdcfb6bfb, 0xf5326b17, 0x05c24856, 0xc7a91919, 0xaf92a2c8, 0x5fa6ff1b,
+    0x54ff3aaf, 0x269443c2, 0x32e4f305, 0x6d078b33, 0xb32a6014, 0x9628c641, 0x4355a5df, 0x6235d69b,
+    0x4b72449c, 0xe8032a7f, 0x9e1baec3, 0xcbdd4ae6, 0x4d1b9960, 0x33a46d24, 0x4dbdcb15, 0xeb452d12,
+    0x627c3341, 0x40d510b3, 0xefaa5458, 0x3d5360de, 0xfb0dd5fb, 0xccbbfc5d, 0xcfdd249f, 0x047bbcce,
+    0x09212026, 0x6db39532, 0xf6894c12, 0xe6c2770c, 0x2f043a68, 0x5da39e60, 0xbaaba8e2, 0xcee65513,
+    0xb8bdb58c, 0xfe71a843, 0x4b4f77a7, 0xf8f6a533, 0x3dc5dd77, 0x61510397, 0x915fb40c, 0x1361f727,
+    0xdaf64b93, 0x2afdf53b, 0x658ad77c, 0x5e024add, 0xe4e2cdc9, 0xe38bfd5e, 0xaa23bad0, 0x8bfcc9f3,
+    0xaca72959, 0x65381e07, 0xfa8c08d0, 0x7a9ebe7c, 0x273029a1, 0x09abe372, 0x1aa08e91, 0xca009488,
+    0x3a81e219, 0x6dfa9f34, 0x48c450a6, 0x5d88c12c, 0x1c4b5ea3, 0xa4f47c00, 0x408fdec4, 0x558fc1b9,
+    0x42d4f012, 0x62edf16a, 0xd294145b, 0xfe3f91a2, 0x7928034f, 0x1500fa42, 0x31f26337, 0xb434bb5f,
+    0xa341adc8, 0x243ee0c6, 0xb3b00fb7, 0xd402be63, 0xc97a8b0d, 0x179ff886, 0xcc314b46, 0x162d8f5e,
+    0x3cd5a5d7, 0xf21bea13, 0x2e9b6e43, 0xb8d91176, 0xe9827e6e, 0x82d7f38b, 0x4b49b459, 0xcd42bffd,
+    0xb1429d92, 0x1a0f65ab, 0x9f0d299c, 0xba451fcc, 0x2c15a3f8, 0x7e0b9965, 0x1166ea3e, 0xcef2cb5b,
+    0x3381377b, 0x51c63b5f, 0x8f1bdff8, 0x9e00a96f, 0x62713cb0, 0xe315aa41, 0x7122afd1, 0x9bd30e48,
+    0xcdfe4c29, 0xab8f796f, 0x879650da, 0xde574c9e, 0x68e9ad39, 0xc0944070, 0x8d0d1b30, 0x8dd25bbc,
+    0x3642409f, 0x3504e399, 0x5f1c3b63, 0xa05c9ab7, 0xf4c9bbde, 0x9ea41afc, 0x123c40e2, 0x251c3634,
+    0xeb1c5efb, 0x3b2b7958, 0xbca62246, 0xc924ee78, 0xba0ad77d, 0x3ff75a00, 0x825fd975, 0xa8aae59d,
+    0xaee493fb, 0x20ead884, 0x102037ee, 0x5af5b639, 0xc4aa0ed9, 0x9f34b7e5, 0x8a7234e5, 0x8b7483be,
+    0xe153a107, 0x53178176, 0x5c28e5a9, 0x6dacf338, 0xe6efb8d6, 0xb1c7be04, 0xef99bc24, 0x82a3df9d,
+    0xcef61dcc, 0x4e82cf2d, 0xebcfbb2b, 0x4860fd5f, 0x23850db8, 0xd8192824, 0x495e5cfa, 0xcf9d6eea,
+    0x2d554577, 0xb8e8600c, 0xaf707b2b, 0x0f566507, 0x89340982, 0xba1bd243, 0x7d2a8bb4, 0x649cd943,
+    0x1451ed4f, 0x93e44e95, 0x4fd01057, 0x110f7b48, 0xe631ee45, 0xf9a50c68, 0x3eac03a1, 0x59594a33,
+    0x015909c8, 0x7b50edbf, 0x855e09ca, 0xb5cadf01, 0x11c966c1, 0xf161faa3, 0xf3bafc3d, 0x79ce7c59,
+    0xf150917d, 0xecf40cd7, 0x42181f33, 0xeeb4838f, 0xde5550ad, 0xa96d520e, 0x100316f3, 0x9e6cacb8,
+    0xe0b4e294, 0xe7e30d50, 0x99200049, 0x84fdcc8e, 0x7791dfab, 0x5e791891, 0xfd9cc91c, 0xe45e275d,
+    0xb67134e6, 0x85a84e35, 0xf76492d8, 0x31ada374, 0x9e67def9, 0x34cf57f8, 0x8532b68c, 0x3982dddf,
+    0x43399a89, 0x19e6a95b, 0xfa5b4523, 0x8568fbe4, 0x9a9e375c, 0x0c019155, 0xf46fcf6a, 0x29d14de4,
+    0x4e39f2f8, 0x3a291d8a, 0xb883f9e4, 0xe1140c65, 0xd4e11dac, 0xb9b67e1a, 0x4fbdb28d, 0xb1c0037d,
+    0x5a8273c3, 0x771b31ae, 0xfc0cc182, 0xfa5bb484, 0x9612050f, 0x4a6bb0f6, 0x558c845b, 0x11fc0bf5,
+    0x986fbde4, 0x0fb85b69, 0xd538f15f, 0x1d3514a2, 0x814d97c7, 0xc8f58b4f, 0x7a6ec725, 0x18d37cdb,
+    0x7b776364, 0x1a759ce0, 0xe5d50e5e, 0xccbbdae2, 0xb382e837, 0xe02e997d, 0x47d28408, 0x9ba5f38e,
+    0xf6f19c63, 0xa66d3e7f, 0x74ddaa04, 0x7d8d3abb, 0x75bf8f33, 0xfa1371af, 0x2ac2fee3, 0x1167a818,
+    0x9cfa916d, 0xa5452a11, 0xd8a1d65a, 0x3f232168, 0x88a7c0d2, 0xfb636213, 0x586ec810, 0xbfed4219,
+    0x79d9115d, 0x619b4289, 0x8b287d43, 0x42e8e5fb, 0x0d85b543, 0x2972afae, 0x997a0fb9, 0x1ecf9088,
+    0xffeeeb9e, 0xd98d9bcf, 0x1c8287a1, 0x718b0ba6, 0xa4a21b43, 0x16e97aa8, 0xfdf01f75, 0x010cc97a,
+    0x7640bbfb, 0x8c13cf5c, 0x4df8b9e2, 0x9e754dfc, 0xd0ce2c32, 0xd9f28a65, 0xfd2d197c, 0x25865037,
+    0x9cb79600, 0xa0d453c4, 0xecc956a5, 0x90eaa5a7, 0x1b919b93, 0x87a874b2, 0xd8e7a595, 0xd3b3457b,
+    0x6a618349, 0x7656f1cf, 0xdda582bb, 0xf6d3e628, 0xe6947ac5, 0x21041c8e, 0x6b2c656d, 0x31bc25d9,
+    0x4ea115a4, 0x903dabf2, 0x671aecda, 0xf9fe9017, 0x9f54a776, 0xcddadbdb, 0x9a97adec, 0xabe408af,
+    0xae7c8eb7, 0xdb2c435a, 0x3302951a, 0x5a178c35, 0x0cee7e16, 0xa214cf27, 0x1a073d86, 0x8bb5ef14,
+    0xa69cd40a, 0x86d91e7d, 0xf71b25ed, 0xe0a915e5, 0x67776043, 0x62746b3d, 0x5b5cfba6, 0xa8f4bda2,
+    0x8f118584, 0xeacf1533, 0x581f39b2, 0xe2346b85, 0x8018600a, 0x36968aa1, 0xafa5bfee, 0x4f597fd2,
+    0xc59e2f4e, 0xf45cf84c, 0x76ec9637, 0xf4b94a54, 0x8f811925, 0xcbd82fcf, 0xb287e5ca, 0xf3f2696f,
+    0x6509fdfb, 0xb7e58a41, 0xa5a26208, 0xec1d1458, 0x3fbedb33, 0x6115427d, 0x7e1e6bda, 0xf0ae17c0,
+    0x2b294072, 0x73f90f0c, 0x4312b7f0, 0xfe02bceb, 0x81167acd, 0x4f7475dd, 0x360b7f56, 0x03b811f6,
+    0xb8738b09, 0x673ba056, 0x4f6fc37b, 0x5b416c55, 0xa840e732, 0x45f13726, 0x66bf4f17, 0xfa8606b2,
+    0x5d100ccd, 0x1a8edc73, 0x1f2db986, 0xa57e77e1, 0xad0d813e, 0x3f8daa47, 0x62883163, 0xde227ebd,
+    0x41b17c38, 0xf075e321, 0x9c3e065c, 0x423cfc34, 0xd349dee7, 0xe2800fcc, 0x1d64694c, 0x7eb7c9a5,
+    0x10ab1e8f, 0xb5b67648, 0x5110f220, 0x6581060d, 0x1621826d, 0x9101fe76, 0x838860bf, 0x73592d62,
+    0x9ae392f1, 0xed1b9eb2, 0xbbc03faf, 0xf0012cbf, 0x725affe6, 0xc71ff775, 0x111de107, 0x82e099e6,
+    0x68516b06, 0x847724bb, 0xf61416d0, 0xe8a80ae6, 0xbf466a3a, 0xd95d0961, 0x1d9ddacb, 0x1ebaaa52,
+    0x8aca9d5e, 0x3055d503, 0xfb95cd8c, 0xdcf36100, 0x70e08193, 0xa00b59a0, 0xefb80355, 0x1f0ccb9b,
+    0x5dcb241e, 0x20291358, 0xbe32f5a7, 0x6a5d4a80, 0x3bdd9bb5, 0x78c0edaf, 0x8baa857d, 0x5e8658e6,
+    0x12caabea, 0x32142974, 0x21f40267, 0xb306bfdd, 0x0ff1dc82, 0x6b959433, 0x5e5f116a, 0x939af898,
+    0x410604f8, 0x39708368, 0x4b008f09, 0xf004dd56, 0x1a499227, 0xc6595727, 0x62e72d3b, 0x8420fa6e,
+    0xe131c4d8, 0xe35b7e80, 0xdf1bf39d, 0x3becc1e4, 0xcb2526f8, 0x5f7374ca, 0xdc38b4d4, 0x3e380bd5,
+    0x214b9be9, 0xd1662c38, 0x4f4d4314, 0x92cf8038, 0xb1f5dddc, 0xdad30de3, 0x20c32481, 0x3d5a9962,
+    0xb132aaf1, 0xbad33d4e, 0xb1175620, 0x6a7aeac8, 0xa779758f, 0x1669c4d4, 0x3516908e, 0xfb06110a,
+    0xde8e12e8, 0x95bba6c6, 0xe0e63ccd, 0xd2ad7316, 0x652b4c99, 0x28f80a61, 0x365e17cb, 0xbc001ef9,
+    0x81ebdfda, 0x88a6a497, 0x72aa6b6f, 0x722420e0, 0x82b1d66e, 0x965b7d45, 0xc8f8be8f, 0x7f768342,
+    0x8ab120b5, 0x6e7a23de, 0xfcad3700, 0xa692176a, 0x862f0471, 0x1a5ab45d, 0xbddfed10, 0x431c6fa4,
+    0xa4771dce, 0x7c5d8149, 0xc9586491, 0x30be0a37, 0x623aa745, 0xc4c54752, 0x0af5de1b, 0x45c3d939,
+    0x9c9b4800, 0xaa9aabfc, 0xa4e3aef8, 0xd8b4dc6a, 0xec2c2735, 0xb60a88da, 0xc39eec31, 0xd8b90d31,
+    0x819478c0, 0x85f3e251, 0x4fe169f6, 0x1e51f710, 0x33c4bb27, 0x769ee067, 0xc018ccfb, 0x1f3eea84,
+    0xfaa0391d, 0x5cde4ae6, 0x9ff829cf, 0x2b8d09d8, 0x35b66d9f, 0x223e120f, 0x8b7845fd, 0xa32e8050,
+    0x792d059b, 0x1d4d93c9, 0xe36dbc7a, 0x72c440e7, 0x7f814681, 0x2fb815e0, 0x02a86349, 0x5dd92bf8,
+    0x5dde9e94, 0x1fe69581, 0x107fa7de, 0x6205cb7b, 0xfa560b6f, 0x9de343c3, 0x2e4264cb, 0xe09ff1a8,
+    0x64e28c83, 0xb6e07990, 0x35861616, 0x13c9abc1, 0xe7729999, 0x9f485d93, 0xdfe91931, 0xf237ef04,
+    0xe9951aee, 0x7ca942c2, 0xf3b2894d, 0x829fbd58, 0x88f52f9d, 0xe3d3ae01, 0x4b7cf5ab, 0x07098d50,
+    0xa439c4a9, 0x74bdfc02, 0x55f7ada4, 0xba171b3a, 0x9b19a07f, 0xb189c67a, 0x1c30efb6, 0x79477d49,
+    0x186076c9, 0x9c2a1afd, 0xf77e2533, 0xa4ecd8c4, 0x4c8e8c39, 0xa62a3dea, 0x10d59b17, 0x2c44849e,
+    0x7ecacae7, 0x6c1fc830, 0x5a67c31a, 0x47e2398a, 0xc3a5f2ce, 0x9972751c, 0x1d05daad, 0x72aa6791,
+    0x722a6148, 0x43bb7568, 0xdd58cb85, 0x03d32d52, 0x03534c00, 0x177e6ca5, 0x01b39a66, 0x3de8b41b,
+    0x9a878454, 0xd5a19a39, 0x22da5d05, 0x317c2068, 0x268a1767, 0x919e0af9, 0xe55901a8, 0x018e63be,
+    0x0b00eae5, 0x42812471, 0x3a4bc2c2, 0x5da7467e, 0x53fc26b3, 0x44224761, 0x2eabb866, 0x1c09bb7e,
+    0x5137e5d0, 0x9807bd94, 0xaa1427e2, 0x04ea53aa, 0x190cf947, 0x66ecdfc5, 0x5652c94a, 0xbdd16994,
+    0x4ce37bbc, 0x5c8f05e7, 0x9769aef1, 0x585b64ab, 0x9fb0f98a, 0x1ff16165, 0x2096f6f9, 0x1f62873c,
+    0x4e846d6d, 0x6be622b0, 0x5f848d68, 0x69791e4d, 0x0ee180ee, 0xdfdf56f9, 0x1e9d553f, 0x3a63df3b,
+    0xf39d8980, 0x9b589dac, 0xdf9c0338, 0x5806b12a, 0xe70eeed2, 0x7c0715d7, 0x4c70f57e, 0xc593f429,
+    0xece2627e, 0xd60de597, 0xf1f94f84, 0x12c67305, 0x08098801, 0x250bc99f, 0xe56cfa72, 0xc3045c95,
+    0xa9d09679, 0x337bd01d, 0xbd21ce33, 0xd33ce66e, 0xf64191ff, 0x0463d43d, 0xf580efe6, 0x17db766e,
+    0xf472384f, 0x7f6edc56, 0x7e290875, 0x03316edf, 0x380bdd02, 0x97d47e6f, 0xe2a3474b, 0x046ccc6c,
+    0xc97e788d, 0xaa106b98, 0x62039bed, 0xd9553c62, 0xc3d8db8c, 0xe7293a1d, 0x1b8857e1, 0x6542d137,
+    0x88dfd392, 0x73e53e2b, 0xba12458a, 0xb770f160, 0x818c4796, 0x827a6f6f, 0x4dbb4a8d, 0x3270bfce,
+    0x1c809ed6, 0xd11e7152, 0x20c14230, 0x5ee667d4, 0x694f6644, 0xc08ead9e, 0x6840453e, 0x250508b0,
+    0x9a062b06, 0x2c749ade, 0xcc1f599a, 0x51ae3f18, 0x99d9d5b0, 0x2107e27f, 0xf30efcda, 0x221a0b91,
+    0x3f5b4cb1, 0x875d63d3, 0xf1fb1dba, 0x3597d4ce, 0xff3e2660, 0xf3429733, 0x8c9c5046, 0x35ac4b3a,
+    0x00000000 }, /* 10**-00000000499479768050558757021055556766906608919775702826395384137465113540059\
+                          47821116249921924897649015871538557230897942505966327167610868612564900642816 */
+  { 0x00000000,
+    0x3fffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fef,
+    0xa30f4c5f, 0x335e042c, 0x455c18b8, 0x3b682a93, 0x8a5e853d, 0x794236ff, 0x5346b566, 0x01d3a655,
+    0x00000000,
+    0x871d0695, 0x7dde66d8, 0x6ab10e42, 0xefd1e502, 0x7506944f, 0x1596312d, 0xe633cb08, 0x6ae07bcb,
+    0x677469dd, 0xd4deabed, 0x8b60294f, 0x87f7cfff, 0x06e33ca1, 0x26fd3fcb, 0x05c86d7b, 0x6aa6b54a,
+    0xa47fd50b, 0x48060d81, 0x983fb47e, 0x94421c5c, 0xc3df1b38, 0xa7219f14, 0x36a3efd5, 0x7b6abab5,
+    0x82095a18, 0x65081b3f, 0x84a9e535, 0xb3caf498, 0x7b464941, 0x51de963d, 0xbc4e25ee, 0x30caadf0,
+    0x739a2ded, 0x1d7e2932, 0x87d5e7b8, 0xfb0f5d36, 0xb3f275c7, 0x9d861381, 0x84131fca, 0x3a52cd2f,
+    0x4c0d5d75, 0x67490ffb, 0xb97747ec, 0x1825d89f, 0x0dec3f0b, 0x1f73e1e4, 0x6bb9e504, 0x819915b9,
+    0x44788e3d, 0xf7365e5f, 0x3ddb9bc0, 0x609862be, 0xd43f3aa8, 0x8f501d26, 0xe2e18811, 0xb76688d1,
+    0xe5c2dcc9, 0x1fdd5918, 0x4e8e261b, 0xec4d68d9, 0x988c9d3b, 0xa0f930b0, 0x963d1505, 0x472a6113,
+    0x2262af73, 0x10a6cba3, 0xd41f558e, 0x901941c2, 0x0348423f, 0x56a0851a, 0xf4809595, 0xf7ce7690,
+    0x26cf7811, 0xffe59f9f, 0xa52154cb, 0x9916f614, 0x0a06b122, 0x97669403, 0x8df34f1b, 0xef1b1536,
+    0xf3c7a0b8, 0x7ca7e223, 0xc2bb0598, 0x10d8bd28, 0x57808a2a, 0x72aa205a, 0x7f07d2c0, 0xd88c55ad,
+    0x70c9d840, 0x9eb9863a, 0xfe6053f9, 0xa1b76389, 0x33fc7be1, 0x6030a196, 0x5388223e, 0x2b4fd575,
+    0x41f01d00, 0xd201b9cb, 0xc6582931, 0x63398388, 0x12cd2154, 0x4c3ac2b8, 0x805ff97b, 0x99bbfc2b,
+    0x62224d69, 0x0f8c59cd, 0x807109e8, 0xab968da5, 0x13409dc9, 0x1187ede8, 0xbd24ba5c, 0x1343fb57,
+    0x220f54f6, 0x62b22a0a, 0x3127251d, 0x6a41c04a, 0xd4ff0cd2, 0x29fe85e0, 0x60e52f26, 0x5dd2184d,
+    0x0a127e4a, 0x67e027a4, 0xef4db7c5, 0x50e3ed93, 0x27d13873, 0x6bb75210, 0xa4f34134, 0x3e868570,
+    0x46dba836, 0x5fe5cf76, 0x1969c524, 0x18e06b92, 0x0f582f41, 0xd6db159e, 0x8bb6e6b4, 0x19498841,
+    0x433bb70d, 0xb2d2cc75, 0x8aa9466f, 0x36035435, 0x34514e3e, 0x33c6ff22, 0x64262a28, 0xbbd3acf5,
+    0xb6f6a8d3, 0xa56fd58b, 0x07ba8b4a, 0x7a8b107d, 0x04c01e66, 0x2e735d8c, 0x5b7a505f, 0x56636568,
+    0xdb01e53c, 0x21f0f72a, 0x77f6f0ea, 0x7767977e, 0xd2c44714, 0x87f44c01, 0x8ac04848, 0x60eb34e4,
+    0x8f45f827, 0xea225823, 0xd0644fca, 0x193e61e4, 0x0d82fbac, 0x7ebb2d52, 0x73ec2db3, 0x18a0bcca,
+    0x3386b1ee, 0x910b8fa0, 0x66df87ab, 0x64a27da9, 0xb143dd2a, 0x03b15de8, 0x51702808, 0xb8e41605,
+    0xcc13dd5d, 0x120e0cc5, 0x0f24ac43, 0xd7333e68, 0x4d1a1f48, 0x88cd87f4, 0x94dd7cce, 0x2ff5349d,
+    0x749c00b3, 0x3d2eef0a, 0xf1cfc3ef, 0xa6729580, 0xa772f3b3, 0x1041303e, 0x2e1b9da7, 0x08184662,
+    0x9c229a58, 0x2aaca7d5, 0xc7255277, 0x12a0b71f, 0x73d15b51, 0xdb47c030, 0xd9720c04, 0xd17e82a8,
+    0xa1ddb7a7, 0xfd11a0ee, 0x63449aa6, 0x901f9135, 0x1cf7ada8, 0x23853310, 0x52515151, 0x9c2cf0fb,
+    0x427b80f7, 0x040900cc, 0x4a8dd246, 0x0e628886, 0xd8b1619e, 0x3725622e, 0xa54e19cd, 0xac419592,
+    0x2fdbc5f4, 0x050628c2, 0x4be9ee53, 0x3f06d327, 0x912a2ac1, 0xbadc6709, 0x2b582b72, 0x77c97292,
+    0x7a8f5f95, 0x2b9ada1e, 0x950b1344, 0x27c3f8cf, 0x376e91e2, 0xa8900648, 0x0d5d63fd, 0x79b4c4f1,
+    0x725619fc, 0xc79a0e38, 0x6b6c40f0, 0x5ba76a38, 0xb278153f, 0x527fc661, 0x802941f0, 0x484af461,
+    0x23465af5, 0x464f8716, 0xc2577a66, 0x86d021e5, 0x7344980f, 0x628b07eb, 0x30e5cc40, 0xc13139bb,
+    0x5f6f4290, 0x3e16c765, 0xb5b2f64b, 0x8cc12d53, 0x6490924a, 0x46e913a1, 0x6a0f018c, 0x5ff85aa2,
+    0x0963b756, 0x6c16a268, 0x8e34152f, 0xb4358653, 0xf9e5d285, 0xd0b1a23b, 0xcd7b9966, 0x61ee085c,
+    0x3b2401f9, 0x95d1c3a1, 0xb607b3c1, 0x4f15fe48, 0x0565ab3b, 0xd5e59eb8, 0xfc979bd4, 0xca3c7769,
+    0x3d166c92, 0xc26aff43, 0xc1184d82, 0x55dc17e2, 0x33465427, 0x657c4c9b, 0x8a3a3e54, 0x696941c7,
+    0x8999082c, 0x7a51de51, 0x5f666ff2, 0xe589d169, 0xa4b27713, 0xa0a37395, 0x589598d5, 0x82e6716f,
+    0xdeec48f7, 0x75cc3827, 0x552dfd0a, 0xaa28fece, 0x2348b621, 0x8aa88771, 0xdd35adfd, 0x39287123,
+    0x1d1a78e7, 0x6c519596, 0x14559d81, 0x5dcc01ca, 0x8ca301c4, 0xa00ae7ef, 0xb970305c, 0x3e2e94ee,
+    0xddfe3686, 0x0329903a, 0x314db3a6, 0xc3385181, 0x8910915a, 0xb99164fa, 0x2d428276, 0x2603da51,
+    0xc104553c, 0xe7300a27, 0xd4d587d3, 0xd446b6b0, 0x1a3d416d, 0xd541e18e, 0x159d7730, 0xc276acc8,
+    0x33204671, 0xaaff6e9c, 0xcb700a43, 0x7a97205f, 0xb3fe83e7, 0x3615615e, 0xe1d85573, 0xe2d58bfc,
+    0xa67e8ea6, 0x0ede4274, 0xa3c9c72d, 0x23a25950, 0xea476da3, 0xea700678, 0x342483ad, 0x2d37ffdd,
+    0xe707e1dd, 0x794aae0e, 0x978e1189, 0x8b8a064d, 0x1611da5c, 0x8d1835c9, 0x4933fac1, 0x2a3a827d,
+    0x647a3f74, 0xb4f1ae3d, 0xf1495f36, 0xa2e415da, 0xacbe25e4, 0x056c34d8, 0x2fe026f8, 0xad8c8878,
+    0x059d3528, 0x5fd07788, 0x254bccf6, 0x925e871e, 0x70140db8, 0xdf49bcbc, 0xcb700fed, 0xd770428f,
+    0x85b41a61, 0x34461a43, 0x8d4288bd, 0x1f329c1f, 0x9c943530, 0x419673e8, 0x6d55f988, 0x99a0fd59,
+    0x87263028, 0x155b3203, 0xdf744e0c, 0x2f7d90e4, 0x540e2329, 0x32b020d2, 0x501b1ace, 0xa26eb340,
+    0x1850ec7c, 0x0f722d46, 0xc0b8cb5a, 0x7fa21b15, 0xbc4d4b81, 0x124f0e03, 0xfa1e6dcb, 0x33241da4,
+    0xec2c26bd, 0x2bdd53a6, 0x3dbe053c, 0x1cb85aff, 0x6bc5c329, 0xab4d1e4a, 0x1fcd9ce5, 0xdfed69d1,
+    0x3516f9cb, 0x782fe5b3, 0x90877cba, 0x60d986f1, 0x8cdee5c1, 0xadabf19e, 0x6009e160, 0x5ef49ccc,
+    0x23cb34c6, 0xbcca9697, 0x64ecf6e3, 0x3d0cbfdb, 0x041577e3, 0x39655540, 0x9618d8af, 0x0bf2dcbe,
+    0xd529cf06, 0x94cc6fb9, 0x72e46252, 0x8ff49a78, 0xa0f655d1, 0x709b2cff, 0x21129761, 0x8ab1f9bf,
+    0xabf59bf8, 0xd9a876c9, 0xde548727, 0x3c3fc296, 0x239cafa0, 0x3a2c53cc, 0x1c182f24, 0xa35e5b8e,
+    0xfdcbf2b4, 0xa671eb6e, 0x9a1bf9df, 0xd71c9d76, 0x0af872a9, 0x5fd5e77e, 0x3817203f, 0x95e7a44e,
+    0x09dfb287, 0x0f973c25, 0xd65b53e7, 0x26f981ef, 0x7d93f069, 0x26ca56d0, 0x6d3af595, 0x8b27e847,
+    0xde6f87a9, 0xfe4c6dcc, 0x13371c4c, 0x59f51ad7, 0x8de26571, 0x097c78bf, 0x69478a91, 0xd6ae5e5a,
+    0x29064a8c, 0xddce825e, 0xaa8098be, 0xc77099c1, 0x1ea9130d, 0xbab08ea9, 0xdad73d31, 0x4bcfecf3,
+    0xb01f7665, 0x780c8a35, 0x75d15b68, 0x31b235c3, 0xa2ae3f4e, 0x240a568f, 0x807a77e8, 0x423b277c,
+    0xc99be487, 0x159cba0b, 0x5196aa2b, 0x289498e2, 0x7149bcfa, 0xb4ad93c9, 0x2c0e2535, 0xb8b8eed5,
+    0xa2fccfce, 0x9582c094, 0xa101498b, 0x00c7f7ca, 0x4d9479de, 0x00700e9b, 0xda675a6b, 0x02fe9aa4,
+    0x482dd4f5, 0xae9b83ce, 0x9b616b0d, 0x061b1e0f, 0x7d16896a, 0x699b22dd, 0xc22ac9ac, 0x3cd92282,
+    0xd469ee81, 0x362782fe, 0x8fd8b644, 0x42862ade, 0xaa3607d4, 0xd0d5d602, 0x56386870, 0x234634d3,
+    0x97cbeeed, 0x48ba0132, 0x8677c5a3, 0x07b39902, 0x908061b3, 0x068cce86, 0x583f85c8, 0xc5c9a7e9,
+    0x344b901a, 0x9e2df104, 0xb277e800, 0x18e1b2a6, 0x6c643876, 0xb5f8e261, 0x7c9d2733, 0x374e4a51,
+    0x200ace48, 0x03a0af3a, 0x9c0d71e7, 0xb93becb8, 0x92d66298, 0x57ffab16, 0x5e714db0, 0xfd7dd9d6,
+    0x87f4b6a7, 0x058ee79d, 0x69b35a64, 0xe652ac7e, 0x0ac6aa87, 0x351f84c5, 0x3fd71998, 0xde059b75,
+    0x793e408b, 0xf3ed49b9, 0x9e6de641, 0x8b6eb5e3, 0x3495529b, 0xbc23d14c, 0xadfb25f7, 0xcee39c62,
+    0x547091ae, 0x6979f662, 0x526ac129, 0x46e1af6c, 0x21bc6ccd, 0x7afeb973, 0x73256ad4, 0x1f555117,
+    0x859f3453, 0xc7eddb3a, 0xfb235147, 0x0cf0bf6d, 0x8d436d35, 0xee91a1b1, 0xe663902a, 0x0f65a960,
+    0x2f99f79b, 0x13b914e1, 0x222700d8, 0x292f47b8, 0x3c1ddd05, 0x9e4dea43, 0x2c473c88, 0x249e4fc8,
+    0x8a1b6f01, 0x3d43b9f1, 0x4cb13344, 0x3ac41828, 0x98fcf142, 0x66ff7b2b, 0x783fe52c, 0x4922cad8,
+    0xc27bb62b, 0xe6b4ed83, 0xd768bace, 0xca2ba2ca, 0x9e7ab4b3, 0x55b43abc, 0x97ba55be, 0xd107a18c,
+    0x086a33de, 0x5a1691ea, 0x47d4f3f1, 0x3c99372c, 0xb8354dd5, 0x183800ec, 0x33ba7147, 0x38c845ee,
+    0xb2193cb0, 0xbe2f61cd, 0x2d1a066c, 0xf4fe085e, 0x1be78db2, 0x74e4431f, 0x7315f2ea, 0x49cd0b84,
+    0x325e313d, 0x205fd973, 0xfc17669e, 0xc5eaffa9, 0x0944c892, 0x449a9bc5, 0x3d538b79, 0x3fd23626,
+    0xdc55cabf, 0x90120b09, 0x1f7bb666, 0xc22bae7d, 0x4de5dd29, 0xaca15d22, 0x052bc590, 0xb189b5e9,
+    0xb8188547, 0x3509999a, 0x39bbe326, 0xbd9729e4, 0x0c26b628, 0x9871129f, 0xf19c69de, 0xcd8b0e5a,
+    0xa544bb40, 0xb0c230bf, 0x8b2b86c9, 0xfef16573, 0xecc8d779, 0x80f008cf, 0x45494c57, 0x9df99cfa,
+    0xb64cef63, 0x6a2c106d, 0x09b8da13, 0xa44a7b1a, 0xe7620bc8, 0xbbc213c0, 0x8e7032b5, 0xa31ba7b8,
+    0xa4e3e4d2, 0x906e61e1, 0x4c738954, 0x88fb8fb5, 0xcefaad69, 0x701dbf4e, 0x947086e0, 0x8ffff9b0,
+    0xc8696222, 0x512adde8, 0x465e39b0, 0x66f35eff, 0x0554c257, 0xcc865582, 0xbe7368b3, 0xce829547,
+    0x4d95f045, 0x46ec727a, 0x30bb9307, 0xa922aefd, 0x8a04e95a, 0xd34e4d08, 0xb14273e2, 0x4fbb338a,
+    0x5b433f86, 0xa76a9bbe, 0xbb244325, 0x94e4e3aa, 0xcbd063fb, 0x274fd116, 0x61c0b34b, 0xd5eff7fb,
+    0xe8283873, 0x3c90a282, 0x63a35e69, 0x083bc17b, 0xb80d1aa3, 0x08a5655b, 0x5998e8ac, 0x68ca628a,
+    0x7f8cc657, 0x27208671, 0x5f73af62, 0x1fe3e313, 0x576602ff, 0xb54f6181, 0x8c83450f, 0x3313cf75,
+    0xeb8134c1, 0x2708c6cd, 0xf9ed1f10, 0xd959fb6a, 0xe6657e7e, 0x0b98fadc, 0x738f1ffd, 0x74d3c50c,
+    0x5d8002be, 0xba66fedd, 0x1c0f312f, 0xb0125c87, 0x4b69844e, 0x1f4912a7, 0xe3dbf0e4, 0x7132b04d,
+    0xe6d4c490, 0x8ee7a458, 0x846fb604, 0x9fbcf3b8, 0xc7e04fbb, 0x2fddaf6d, 0x5ecc8110, 0x81d9b207,
+    0x0dfb63a2, 0xd8ae20c0, 0x8a7298aa, 0xac42547f, 0x24c4deb2, 0xac41cbfb, 0xac032580, 0x5c02b6cd,
+    0xc5183de3, 0xcf646f1e, 0xebbe4587, 0x5fcb7aae, 0x58cb9fa7, 0x23730cb2, 0x9083e33a, 0xa2906f54,
+    0x5d2a40be, 0xd836312c, 0x705879df, 0x2881c36e, 0xcfcc351b, 0x3d75bea2, 0x62da9340, 0xeb74357c,
+    0x47c5b9c9, 0xa5aec837, 0xc2a43993, 0xc0818b15, 0xf7a68b8b, 0x1242b6b2, 0xe3a24f3e, 0x91bb3632,
+    0x0170d3e8, 0xab187433, 0xe35166c9, 0xf6c4262e, 0xe2aaeb77, 0xac38b45a, 0xec683e63, 0x7a0f565e,
+    0xb5b43c40, 0xc85c6db5, 0xcda54ad7, 0xe2770e7e, 0x9a9506fe, 0x8943c01f, 0xb3ea61e7, 0x09589c63,
+    0x72d5db8e, 0x7fb110de, 0xce0073bf, 0x2103206e, 0xf7c05431, 0x32719528, 0x171138eb, 0x7498bc6a,
+    0x15699233, 0xf7af4cdc, 0xc4cae65c, 0x3bc6e184, 0xf78397be, 0x7f578c8b, 0x7d4eae1f, 0xbfd5fdba,
+    0x0a902604, 0xb74a7247, 0x69cf8199, 0xf31f174f, 0x7506c337, 0x4cb5d72f, 0x60481c07, 0x144cadfc,
+    0x2297503d, 0x13650c67, 0x8951192f, 0x75527a83, 0x15b0d390, 0x22fd5499, 0xfc7faab5, 0x51be9afe,
+    0xc89e9771, 0x3b939288, 0xf5f675a5, 0x52557eea, 0x3c7dd7f9, 0x8e501736, 0x2ef128bd, 0x925e3c79,
+    0x28401c05, 0xcc4f2561, 0x959157a9, 0xbfdcc35e, 0x191e3010, 0xaf072a5c, 0xc38b90f9, 0xf49dfd5a,
+    0x623cc4e7, 0xc9bf39a5, 0x03bc85e1, 0x65b1f147, 0x5a621f02, 0x34f69d8a, 0xdb8d0f8a, 0x8e7c2dd1,
+    0x35ca0402, 0x1e069811, 0x9a4d7e13, 0xe46f7520, 0x484a247e, 0x0a9a25f7, 0x2eedd835, 0x286e6e67,
+    0xda7c9403, 0xcb86f37b, 0xac5bc265, 0xa69be905, 0x01af599a, 0x116b6f16, 0x12c3e163, 0x08a1260a,
+    0x5a871366, 0x768d3ea1, 0xe7f67756, 0xad3edb08, 0x10fc33c1, 0xce34c6fe, 0x07f4f016, 0xce713040,
+    0x6649649b, 0xaab47d57, 0x4b314dc9, 0x47439e5f, 0x90e0391a, 0x16603b68, 0x1512c8f3, 0x70395774,
+    0xce60e467, 0x7f57db62, 0x958a0513, 0x3f53c550, 0x98cdbc94, 0xda7fbcc0, 0x0cee3634, 0xc2d255ca,
+    0x013d1fe9, 0x05f8ca9e, 0xadd3e748, 0xc32ae2b4, 0xc074ebb8, 0x2117f663, 0x46573e6f, 0x505c443f,
+    0x3130f6df, 0xfe35dc05, 0x69c9769d, 0x64b12b8f, 0x61f6cda8, 0xd6551956, 0x563b0240, 0x5b60e66b,
+    0x6a8ed684, 0x8ff29f50, 0x359efb95, 0x83805d04, 0xa8e7d5bb, 0xa4c2945a, 0x553f9241, 0x3ae3905d,
+    0x1abff393, 0xb9ee65f5, 0xbb9972e6, 0xb0d7dd7b, 0x78e9cb2a, 0x1c1011be, 0x6acc18dd, 0xa0be8a6a,
+    0xf43a8623, 0xb8c4e38f, 0x553b454c, 0x12df14f8, 0x5619b70c, 0x4057f748, 0x963c6480, 0x3bf16994,
+    0xab4b8b66, 0x6f58c221, 0x07c450ab, 0x8593fec2, 0x0d54423c, 0x37c444d1, 0xeec27540, 0xfadbc47e,
+    0xded12c74, 0xce426cbf, 0x12d91a7c, 0x1f55dcd7, 0xb3e64239, 0xb1e95854, 0xc8696963, 0x81673f02,
+    0x862e8368, 0x500970c0, 0xb7dd66ea, 0xaea02673, 0x504ef2a6, 0x23bbd1da, 0x0ed7d4f7, 0x8d662729,
+    0x8ecb07c1, 0x262bff5d, 0x35954c0b, 0x18a74f88, 0xb91042e1, 0x8ee54f83, 0x1c057a3b, 0xc2ff9204,
+    0x72402f5d, 0x4808913a, 0xcc465cdc, 0xb5160a3d, 0x62c722ca, 0x16cd6d51, 0xd263b603, 0x82e56dcf,
+    0xaf1561b5, 0xd56032f5, 0xa4a8eb05, 0x4da0f28c, 0xcbfbb3c5, 0xf8e29421, 0xe2a25623, 0xe54b38ff,
+    0xf5813df5, 0x87a6787a, 0x06967bda, 0x5eff64e5, 0xce9dcd08, 0x540f476c, 0xb3ba7062, 0x6c029b8f,
+    0xd5e0e8d4, 0xcc2b6be3, 0x2e98dad6, 0x3fe415b0, 0x23ce2ca0, 0x9c33370f, 0x10a1d23e, 0x3757b6a7,
+    0xbae1f876, 0x86065e37, 0xf89ae556, 0x9081fc6f, 0xc1b4b8ed, 0xbed8dc7e, 0xb227ad3c, 0x958c04b6,
+    0x3d2479ff, 0x7836f20e, 0x5db1da65, 0xe6126141, 0xa3b83353, 0x28c003cf, 0x6ecd93bf, 0xc0988544,
+    0x4dab3cf2, 0x622248d9, 0x2be85645, 0x5420b15e, 0xd97d5b02, 0x0a59b091, 0xa7ed7668, 0xad12618f,
+    0x545a7a76, 0xfde35a29, 0xa4707397, 0xba57997c, 0xde3fc817, 0xc30d10da, 0x7b0e8e63, 0x32f557fe,
+    0x12ede7e9, 0xd20dd781, 0x93418ad1, 0xfe7cb2f4, 0xe150621e, 0xa6fb29de, 0xcdb9c81d, 0x3bea74fb,
+    0x2b470d92, 0xd6923b03, 0x54f1634a, 0x97b97dd7, 0xfb378dca, 0x9d087495, 0x742a5290, 0xeac7551a,
+    0x5b545f78, 0x397e6852, 0xcd4f115a, 0xc105269b, 0xcefb0557, 0x2e21ca5b, 0xda558fcf, 0xe9484880,
+    0x00000000 }, /* 10**-00000000249739884025279378510527778383453304459887851413197692068732556770029\
+                          73910558124960962448824507935769278615448971252983163583805434306282450321408 */
+  { 0x00000000,
+    0x3ffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f7,
+    0xd187a62f, 0x99af0216, 0x22ae0c5c, 0x1db41549, 0xc52f429e, 0xbca11b7f, 0xa9a35ab3, 0x00e9d32a,
+    0x00000000,
+    0x838233da, 0xe8a6126f, 0xa47d39c3, 0xe6fdc77b, 0x8ed65aa9, 0xb187e7a4, 0x54706bb7, 0xa5a25383,
+    0xc0bde556, 0x4e99e52b, 0x4d1f90e4, 0x0b5e9904, 0xa7fbbbc6, 0x6d380205, 0x1635511a, 0x463d051b,
+    0xcabde5bb, 0xd40b3704, 0xa3aa6bc4, 0xa151d8dc, 0x8ed25d4d, 0xbbac4df4, 0x247f308c, 0x0eb36b91,
+    0x66f2f38f, 0x1820b31b, 0x26e954f4, 0x1ff09ea6, 0x64be0cab, 0x26b907fd, 0xf26fb4b5, 0x2217d7b8,
+    0x694b25db, 0xea7bf1b8, 0x2ef42b3f, 0x5a3ce7cc, 0xb3a2182b, 0x08146e6b, 0xcb5bff57, 0xa299c6c8,
+    0xcb48e5fd, 0xf48eae65, 0xc2e8c216, 0xe8b36efb, 0xe8d5ca92, 0x546e6b73, 0x58a1926f, 0xd592276f,
+    0x3eacaa90, 0xc9039e5c, 0x96f27761, 0xb97702e9, 0x36da848e, 0xaf955471, 0x9a3d2dff, 0xc528a8d3,
+    0x2da1291e, 0x81b0459a, 0x152e9313, 0xe1d2ba5f, 0x657c646a, 0xf1925ab9, 0xd5fcaba3, 0xe772fc31,
+    0xda161dd7, 0x35d9db27, 0x6f711d4a, 0x0d2e7dc3, 0x8672b617, 0x4d96f661, 0x361ec4f8, 0xea84643a,
+    0xa8387d47, 0x943fe4e1, 0x61d99439, 0x55e8b7c6, 0x2e3f1c89, 0x4b57fb26, 0xcd350efa, 0xc4e684d7,
+    0xc6043d82, 0x0a279937, 0x017fb2c4, 0x947a3ca6, 0xd6a83f54, 0x43b9a870, 0xc5677f65, 0x38fa2d24,
+    0xe1fb8553, 0xaf3b3afd, 0x58baf5ec, 0x576486cd, 0x235379f5, 0x589d3033, 0xf410a2c4, 0x38c39dfe,
+    0xd758596b, 0x0b796c44, 0xbafeb1d0, 0xbfa477f4, 0x0728ff8f, 0x7a9af9b1, 0xc742539c, 0xc3401f68,
+    0x2c8be189, 0x3680b9af, 0x878a04c4, 0x54832056, 0x4236fc61, 0xc4b853a0, 0x73ba67ff, 0x555322d5,
+    0x0d799c8b, 0x96a8b1d7, 0x08d294d7, 0xbba7b826, 0x28f504c0, 0xafd27d47, 0x6b047c63, 0x7e7a059f,
+    0x46bdec57, 0x187b3bda, 0x2a4e0dfa, 0x4ef34c2e, 0x597a9bfa, 0x1a1cb593, 0xab30a042, 0xa7da6cd4,
+    0xaa30154a, 0x0d91dce3, 0x9b47cc50, 0xc51c63a0, 0x145c2ff4, 0x194a3e85, 0x3910093d, 0x1aab2eef,
+    0xe9a620d8, 0x40435725, 0xe427aaf0, 0x281df668, 0xccc90f5d, 0xb6466938, 0xcfd4716f, 0x8f61458b,
+    0x9052642e, 0x00d9b471, 0x80c30bb7, 0x34e11c63, 0x5dcdc8c6, 0xbc924892, 0x67f3ea41, 0x2436ef05,
+    0xf10638d5, 0xcc6b9965, 0x3d86a66f, 0xba219b10, 0x4d98b5f0, 0xb5509909, 0xe50767f8, 0x0901bd68,
+    0xe80ecd37, 0x543d53c2, 0x248d6006, 0x7873ab3f, 0xcbdcb78e, 0x2ed0a804, 0xe968d9e4, 0xe8741931,
+    0x8365b6ce, 0xa1c6930a, 0xedd8ae0f, 0xf32789d6, 0x123eac69, 0xa2863a64, 0x45dd70d5, 0x47b33a1c,
+    0xc1e494c4, 0xa2395c99, 0x2766e376, 0x5435d06c, 0x915ae474, 0x68d2cf4d, 0x33fe74e8, 0x3e1ce883,
+    0xd74b0893, 0xc4d566f8, 0x1c9d451e, 0x709c57fc, 0x09dbaa9b, 0x619f65b9, 0xabbd873d, 0x83e1b25e,
+    0x5fa2c247, 0x4cee0d0c, 0x9983f7a2, 0x2ff639c4, 0x86890c36, 0x398e6289, 0xd9ee696b, 0xdd9848fe,
+    0x00617fa4, 0x8f586255, 0x9bc32d34, 0x73ff7e42, 0x7b779e42, 0x28ab7ace, 0xb0f3d0e8, 0xeb8ed9c6,
+    0xc25a590f, 0x03d85c71, 0x79911d01, 0xbec27246, 0x3f3e8901, 0xd04d7580, 0xa885daba, 0x2d2e4e1a,
+    0xd024feb0, 0xe1c7cc68, 0x5cbf8800, 0x8d0fabd1, 0xb4051efe, 0xcff29f3f, 0xfa7165ff, 0xe32765a6,
+    0x055e7955, 0x5aa3cfa7, 0x1bc6eff4, 0x2ba1dc61, 0x40947128, 0x2b2448c0, 0x97e3edc7, 0x2991c7ee,
+    0x175cb1fa, 0xf68b4e81, 0xc9f332dd, 0xfde765f2, 0x5b4b583e, 0x8d2bf132, 0xe85640b9, 0x45cc07e4,
+    0xbf08a6f2, 0x17a70252, 0x32dcfd3c, 0x6bdeced7, 0x1b1956b6, 0x53759de1, 0xfcf3e6aa, 0xd5c001c8,
+    0x5e8f2b04, 0xe5cbdd82, 0xcdb27417, 0x6b494608, 0x254d8249, 0xda604f64, 0xcc376410, 0x4977e051,
+    0x23a47ed3, 0x6023312f, 0xc590009b, 0x4b1c8f42, 0x392e9696, 0xce945aca, 0x01ee1b84, 0x81a239a8,
+    0x44f9ff0c, 0x0e81f4fc, 0xf266c449, 0x1283cbd7, 0x3bfc3f97, 0x82f83714, 0xc5585563, 0x13cac841,
+    0x3dfa230d, 0xbaba841a, 0xf1d415c8, 0x6613c475, 0xc33cb35d, 0xa05fcbde, 0x1f7db917, 0xf1c253a4,
+    0x1809b792, 0xef933110, 0x83aa03e5, 0x85871ff2, 0x52a19783, 0x875b6841, 0x778e8079, 0x337976fd,
+    0x11bbf566, 0x7ea5ffc9, 0x1de9cde1, 0xf3d78a78, 0xca1bae35, 0x5c99b1e4, 0x70ab8f9e, 0xbd1aac07,
+    0x64e76dff, 0xec94048d, 0x7c4a9c58, 0xc8e7f592, 0x5953481c, 0x364f451d, 0x9711e349, 0xa616e3d4,
+    0xe151e313, 0xabf2942f, 0xa482865e, 0x0e8e7b4e, 0x27213cc4, 0x1a927113, 0x3d1ea23f, 0x4bc78f95,
+    0x14cfd461, 0x1454f7c1, 0x93f0c81b, 0xbf44dc44, 0x42b3eb32, 0x58969b2a, 0x634d97b8, 0x46702bf6,
+    0x90ea3d61, 0x7b56202b, 0x8002c334, 0x8bee1bf6, 0xab8cda8e, 0xec18c9f4, 0x9977653a, 0xacc7dda4,
+    0x24eb4295, 0x12133821, 0x7ecefcef, 0xcb9130b6, 0x220acc82, 0x4bf3f66f, 0x2cb8523e, 0x89cdf267,
+    0xfe48d424, 0xb144cbef, 0x2299c2bf, 0x76a5b6cb, 0xb5781b06, 0x7127cc84, 0xdae37cea, 0xc95eddeb,
+    0x7521282f, 0x7ca9bdb6, 0xbabfcb33, 0x4e50cfc3, 0xca8b7c7d, 0xf6fa399b, 0x34926261, 0x3c2b13ae,
+    0x17bf4dcd, 0x5a7d7290, 0x6711308d, 0x31eaa09d, 0x73287cc8, 0xe4117928, 0x22076975, 0xa7ad51db,
+    0x96c4e8c2, 0xf9635a86, 0xd512d5e1, 0x482c16c9, 0x6ed5ca67, 0x4631a594, 0xe7de65fc, 0x70002ba4,
+    0xdfaebf30, 0x665493f3, 0xcd136c38, 0x9b217cea, 0xe617a249, 0xfb780bd9, 0x6b94ce59, 0x0a421873,
+    0x2dbe7159, 0xfa6d0a6f, 0x65d92e34, 0x28469084, 0xfd1f25ed, 0x0a8af596, 0xdc2bab27, 0x8ec9fc3d,
+    0x69ed5106, 0x4a9c0d90, 0x9b2527aa, 0xc5541e0f, 0x4bac69ed, 0x0ffa895c, 0x85ff4227, 0x09f28cc5,
+    0x5968bdb1, 0xd03805ca, 0x3a2ecb29, 0x44451e8e, 0xd34a44be, 0xf12cabad, 0x2b36a99e, 0xc9963175,
+    0xcc8b971c, 0x6693980d, 0x46fb70f0, 0xe8e201da, 0x665da999, 0xed1580a9, 0x124438df, 0x6528f735,
+    0xd3c02f8a, 0xeca40a3e, 0xbfd03617, 0xf69dcb04, 0x5d1ac3da, 0xccaf4179, 0x8f4d18bf, 0x3a8770dd,
+    0xf8d9107c, 0xfeabd867, 0x490f2ea0, 0x2f752947, 0xd63c12f5, 0xb00040f6, 0x48ffe134, 0x103556b2,
+    0xa884303d, 0x27528451, 0x1c3e9da1, 0x4fdec50f, 0x61ba6f92, 0xc3286fc4, 0x9edc3d99, 0x20cce8a8,
+    0xadccd1ce, 0x1e349e71, 0xf7648f52, 0x9c241849, 0x9d7d32bd, 0xbbd8c6d0, 0x659c2e1b, 0xa7e7987a,
+    0x1335b7f5, 0xa4ec2ac7, 0x85d9158b, 0xe2e2c547, 0x71aefb0e, 0x1c928838, 0x024eae41, 0x051fc41b,
+    0x2d7f5050, 0x1f4730ba, 0x414fcf9d, 0xbb3dea46, 0x75b694dd, 0xa5cc8dc9, 0xaa75530f, 0x68ec7210,
+    0xb190f20b, 0x9ec74980, 0x9b61e764, 0xe60a61c1, 0x0d203cf9, 0xb56a7701, 0x1e5b070c, 0x0a2ff45a,
+    0x053e3221, 0x2e96df05, 0x61934f13, 0x32ce3ed6, 0x7f80d7b9, 0xe8f78f7a, 0xb97e0428, 0x9c0a8c9f,
+    0x28f3fb5a, 0x4312ea71, 0xd3c1fbf4, 0xd5eacd66, 0xbe63d0ed, 0x2524888b, 0x28273f8c, 0xde981ee4,
+    0x0066e831, 0x9979f3a5, 0xeb158d52, 0xb2889c17, 0xa5512f31, 0xd71f51ed, 0x80af9197, 0x6bc5d6a1,
+    0xef51f217, 0xf89029a8, 0xda70d646, 0xea01685d, 0xa5af1ba3, 0xebeab2c0, 0x0cc45321, 0xa47803f3,
+    0x33fd4314, 0x2472d940, 0xd5561f69, 0xc236efc8, 0x87416731, 0x470c575c, 0x3fada688, 0xb4d2ce09,
+    0x513d0479, 0x3a98811e, 0xd3309607, 0x99e9ee5c, 0xcd8200f4, 0x9bbe8475, 0x85bf34c7, 0x2d7c450b,
+    0xad7825d3, 0x5a63903e, 0x485898d1, 0x2c1f0c23, 0x4f10aa5b, 0x616caab9, 0x8269edf8, 0x71038a1d,
+    0x45bf065f, 0x9da704a8, 0xbe88e88b, 0x1b6f6047, 0xed403d7a, 0x4214b96a, 0xe4e10687, 0xbc601e7f,
+    0x44ffd3ae, 0x288e7c91, 0x5f2062db, 0xbddde177, 0x0d0e9dc7, 0xbc1ed215, 0x7978d1b7, 0xf72b693f,
+    0x41715f84, 0x4f60b199, 0x39802453, 0x0d03444f, 0x4eb561bc, 0xff64b443, 0xb7d3570f, 0xae8d725f,
+    0xbac55846, 0xcb83f45c, 0x31c5b012, 0x2ae216e2, 0x55b957ae, 0x4390ee9c, 0xaa9db6d2, 0xb97ee2e9,
+    0x0e906ae3, 0x0826cef6, 0x38097b3d, 0x174781c6, 0xb5d2e53b, 0x96360208, 0x53608869, 0x1cd3e036,
+    0x3c799ef6, 0x44ea1c35, 0xd4a88651, 0x233d2e74, 0x1abe1770, 0x43ac4772, 0xb988e66e, 0x3ed17496,
+    0x6bab5c4f, 0xb5213a63, 0x0d12981a, 0x190dd08f, 0x4e5682a5, 0x88e7cb15, 0x818228d8, 0x71818013,
+    0x745bb5a8, 0x9b8fd786, 0x06a5bbb5, 0xa3fde38e, 0x5e1944a9, 0x5c7fc9cf, 0x9b5e568b, 0x2fd80875,
+    0x0e69be58, 0x6463cbb0, 0x9d402a01, 0xe11a1c69, 0x5a334b3c, 0x58d4c9f5, 0xd089085e, 0x0933d561,
+    0x51b7ccb3, 0xe2469e17, 0xbb170eed, 0x1451fccc, 0x31e66359, 0xf247c760, 0xf0379849, 0x73f37035,
+    0xe76d4e51, 0x60d5073d, 0x9bd494cf, 0x194103b3, 0xd6b4b2db, 0x6f7858cb, 0xd851a6e2, 0xf0a70c77,
+    0x1fb59bd9, 0x5f8923db, 0x9329f67b, 0x67c32eec, 0x5fc58630, 0xcb91f64f, 0x3c88371a, 0x0198f05c,
+    0xb357d6d6, 0x629d04b5, 0x5d54bc07, 0x57f07788, 0xbfe0b615, 0x0301dcb6, 0xc2cdd264, 0x21725d08,
+    0x6801d772, 0xc4acd0cc, 0x00923884, 0x1387b788, 0x2182a745, 0xbedf9230, 0x2f322a38, 0xb8af86dc,
+    0xefd29d66, 0xf9f1ecdc, 0x0ea0dc04, 0x63a2c141, 0x7fe97218, 0x8d98a391, 0x6ef284b6, 0xa559fced,
+    0x5bdf9397, 0xdfaab260, 0xc2ff7572, 0x1fdcbcb9, 0x620e196d, 0x571ca990, 0xb03961b8, 0x7bd6b271,
+    0xad32de5a, 0xe8e01f33, 0x3c526486, 0xd1ffee92, 0xdb1fe70f, 0xc5e10d99, 0x68230bac, 0x7d20ffca,
+    0x8d464f9e, 0x2132df07, 0xcf99387e, 0x3ac11802, 0x18dec7de, 0x150f65e8, 0xdd79eb05, 0x48b92e8a,
+    0xe0382ac1, 0x6e770049, 0xff4cef49, 0x8b9ce5a2, 0x4ced98a3, 0xe4ccd78e, 0x7c758e76, 0x8ff2d032,
+    0xc67c9ee5, 0xa01131e3, 0x789ec4c6, 0x3b7515f0, 0x50598e44, 0x8505a662, 0x7b0a7004, 0xc71e9d05,
+    0x8e56e961, 0x10cc20c5, 0x985df2e0, 0x395ea595, 0x39935edb, 0xcd8c9f68, 0xa0151b3c, 0xbb7b0996,
+    0xb060ecb9, 0xc3afc065, 0xd083abf4, 0x7e739883, 0xd88aa7a0, 0xf4080dc6, 0xcc0a81dc, 0x2552824c,
+    0xcdf1f230, 0x2d559e5f, 0xaaf3c566, 0x2d815b55, 0x6c94c972, 0x9d4c4c59, 0x8a64a419, 0x0dde5780,
+    0x0792bb61, 0x9e748b8c, 0x95b3b92d, 0x93d593c3, 0x34d0322d, 0x55bfbe99, 0x7d4fd823, 0x557a2e37,
+    0x605dfe3e, 0x9ce628b3, 0xfe9132dd, 0x301965bd, 0xed58629b, 0x10a70f32, 0x4137201d, 0xaf274f16,
+    0x2d3b76b1, 0x8f118afb, 0xab7aad26, 0x52765caf, 0x3301300a, 0x674c9b3e, 0x59111b68, 0x5a739554,
+    0xf7b7be3b, 0xeeffea97, 0x69adc4dc, 0x77b7d029, 0x99c96008, 0xcd935a95, 0x9a1a6fd4, 0xf9b2ea06,
+    0x9ff113e6, 0xb0dbe708, 0x0010379e, 0x47b1ad7f, 0xddbb2f36, 0x7c34ed17, 0x28069f29, 0xe2c9a469,
+    0x90591523, 0xb8fda310, 0x02dd6ded, 0xa87723e4, 0x23d7e618, 0xb27e2634, 0x53e7b1db, 0x50212f2b,
+    0xa024f3ff, 0xe4561355, 0x88533427, 0x62679798, 0x92a65942, 0x36fb9977, 0xb78ef171, 0xf52c52d2,
+    0x84a73f82, 0xd1d1f3a2, 0x40b3c7ef, 0x782c66b0, 0x4eb75c34, 0xdc3b14da, 0x2c4a0c30, 0xaf0395d2,
+    0x84f79959, 0xa79da371, 0x093f08aa, 0xa1022005, 0x41fadde4, 0x6aaacb0c, 0xac408282, 0x9abe45d3,
+    0xb7d25bd8, 0xef9578ef, 0x896f98a1, 0x6e832d17, 0xdbb84b68, 0xc508ef8d, 0x59f3a896, 0xcb47e3cf,
+    0xa00b72e9, 0xeb9038c4, 0x7bb38077, 0xff9d4236, 0x88bfc6f3, 0x36454ca8, 0xea071197, 0x8b763625,
+    0x42ed282b, 0xb040560f, 0xf4c0abd3, 0xf4d16c85, 0xec8ef0eb, 0x12d2ec6e, 0x77f01bc5, 0x754d8f55,
+    0xd509a91e, 0xed349028, 0xbfab7298, 0xac75dff1, 0x51aade6b, 0x80a3c969, 0xe8bfecf4, 0xbb52f490,
+    0xd0d45c51, 0x4cfdb62f, 0x0eb06d2b, 0xb848bf06, 0xf1e2e6ba, 0x4000c45d, 0xe57d61a0, 0xcaf07452,
+    0x23b4e3f7, 0x579b9994, 0xa91e3c06, 0xbd0b40f7, 0x0f058642, 0x40a43480, 0x1bc0ce60, 0xb443a4b2,
+    0xee2e1630, 0xe74bfab0, 0xaedc2de5, 0x2c273c8a, 0xfbe6a797, 0x0e33dbf2, 0xac8641b5, 0xae637065,
+    0x4370f6a4, 0xf7a440a6, 0xb03004f0, 0x9c97b3b1, 0xf6d06cf9, 0x6f80de8e, 0x564b3244, 0x179ad7f9,
+    0x02843379, 0x5dcb933e, 0x57ee147c, 0x731e26d7, 0xc6fb0872, 0xed7206bf, 0xd405b5d5, 0x0b575030,
+    0x16188ab9, 0xe840c7b9, 0xffbcc2cb, 0x97021ba7, 0x7af92dfe, 0xcc4189ef, 0xb758dab5, 0xfd37f11c,
+    0x8eb7fde6, 0xb9ac9a93, 0xb7a95e5a, 0x22ba177f, 0x12e7183c, 0xb17e0f5c, 0xd587f72f, 0x0afaac52,
+    0x0b258268, 0xa835842c, 0xa761e779, 0xdaba4881, 0xf786d010, 0x6e629abd, 0xa5604c6b, 0xbdb17cbb,
+    0x93109240, 0x6489987a, 0x2bbcf0b4, 0xca2f089a, 0xcf07e927, 0x72e39149, 0x5e48054a, 0x00829527,
+    0xc8112b1a, 0x323a9de8, 0x580136bf, 0xcba4f3e7, 0xc35a0498, 0xb0196e37, 0x0676b033, 0x09cd5690,
+    0xa4fb0b06, 0xbbe3c610, 0xfb74cf9d, 0x79e12e4d, 0x3b01c723, 0x4be0f2b6, 0x80661740, 0xefbb62c9,
+    0x5e2587e6, 0x25bb0112, 0xaf461c0d, 0x6d2ba2d0, 0xea84ae00, 0x6e0c14b0, 0xb37c3a71, 0x11ab9d18,
+    0x7c6310b8, 0x37dc3187, 0x55f74b8b, 0xb09dba7a, 0xe12269ce, 0x14df3deb, 0x9d403de6, 0xee87d228,
+    0x7364ac81, 0x7efbc893, 0x7090d8d8, 0x3581e4e9, 0x037cfce6, 0x03520ad5, 0x6cecb0c3, 0x94826ce3,
+    0xf9b6fd15, 0xbe07dadb, 0x217a3f1a, 0xe52196d6, 0x502463d5, 0x595531b5, 0x222dea16, 0x4254859e,
+    0xc846338c, 0x4f1efb34, 0xc2d5a7d3, 0x945a244c, 0x8932eee5, 0xbc621076, 0xae3a6043, 0x9d5afc3b,
+    0xe02b6429, 0xdfbca007, 0x3b8cf510, 0x001923eb, 0x8e1f9e6f, 0x4409a25b, 0xb3ebff1e, 0x4ef2024d,
+    0xb332fd02, 0x8e12f2ea, 0x98bf6da7, 0xdb9a7c7d, 0x0fd81851, 0xa32a55e2, 0x00a5ed68, 0xb6c7ebbf,
+    0x388d1711, 0xda0af3e5, 0x3c2638c9, 0xf63a2b8e, 0x71982e8f, 0xfb5b585f, 0x4a1894b9, 0xd318ac11,
+    0xedfe1d95, 0x1cf4ef5d, 0x357958c7, 0x10654566, 0x7ef962c9, 0xb0a1d896, 0x234903fc, 0xca2181e9,
+    0xf8672c78, 0xcf7b1f34, 0xc4c01a4a, 0xc50022fe, 0xc0ea2c09, 0xffd1f141, 0x8b7b3bd4, 0xf9b75cef,
+    0x11a06f66, 0x01718bed, 0xa7f48cad, 0xafd92d16, 0xf27ebfdb, 0x4eb03e8a, 0xd7126edc, 0xd650d626,
+    0xbcdaaf7a, 0xb621dfcc, 0xc7251f92, 0xb1bcdcfc, 0x81e88943, 0xa957ce4c, 0xf737c40a, 0x9364f5d0,
+    0x997289ee, 0x0a7978df, 0x2efe55da, 0x06f00713, 0xeed79453, 0x56576838, 0xb57944a3, 0x90a801bd,
+    0x2e15a461, 0x6b76cbbc, 0x52495340, 0x06a4a48b, 0xa1ea626b, 0x2e1895d1, 0x42c4aa72, 0x6a087d6d,
+    0x00000000 }, /* 10**-00000000124869942012639689255263889191726652229943925706598846034366278385014\
+                          86955279062480481224412253967884639307724485626491581791902717153141225160704 */
+  { 0x00000000,
+    0x3ffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfb,
+    0xe8c3d317, 0xccd7810b, 0x1157062e, 0x0eda0aa4, 0xe297a14f, 0x5e508dbf, 0xd4d1ad59, 0x8074e994,
+    0x00000000,
+    0xb77bc80b, 0xefcfb85a, 0x89bfad52, 0x0e528448, 0xcec2fbf5, 0x478c31ff, 0xf510c4e7, 0x95f3724b,
+    0x01e8c726, 0x77af27cc, 0x470d26a0, 0xb26225cf, 0xdf62f3c4, 0x88117596, 0x223f9c33, 0xb8d2eefa,
+    0x11b32e65, 0xbc3838dc, 0x7c1ceaf5, 0xe417e6a9, 0xc2892744, 0x1a978a01, 0x27b0ce6c, 0x69088de0,
+    0x848dd44e, 0xb6cb3f64, 0x1d808860, 0x24bd0da7, 0x9361a3a4, 0x2c573699, 0x066f56d9, 0x416d8e2f,
+    0xb75cf71f, 0x04b81e19, 0xa627f7b4, 0xc985bc9e, 0xa4bbc641, 0x4948f5d4, 0x26d2a79c, 0x250cdfa0,
+    0xbbd0baf3, 0x10ec8c5b, 0xfc2a4732, 0xfe953bb4, 0xf88602fe, 0xa8f651b8, 0xba8952dd, 0x7c241ef0,
+    0x939223ae, 0xb64d3cbd, 0x4e7fa2fe, 0x54e17687, 0xb27594cf, 0xd5cb8f54, 0xb4feb62f, 0x1cd9ae25,
+    0x304acc2b, 0xc0c53e37, 0x6f3842c0, 0x9e5dbf48, 0x4175348a, 0xa8a5e899, 0x495b2da1, 0x3ebc8a1f,
+    0x54eb86e6, 0x7729d12e, 0x641ba254, 0x5bd1aebf, 0x4321f97c, 0x1a743548, 0xa16c25f5, 0xdefafa5d,
+    0x760b093a, 0x8d3a56ee, 0x7af2562e, 0xbea26ba4, 0x35988627, 0xf4694cae, 0xb9e2e48e, 0xb7854b71,
+    0xbfe3773a, 0x31fb9049, 0x2fa3c6d1, 0x1f577dd4, 0x99cd1335, 0x2eb9c3b2, 0xa7f777ee, 0xa1ee0e2e,
+    0x689e5c87, 0x915aa685, 0xdb90a0c4, 0xda9b8338, 0xd54e6d3b, 0xf8449643, 0x1e3ee5e9, 0xf21551d4,
+    0xe7de7f98, 0x8e93ce27, 0xc4171868, 0xcbf483fb, 0x43369567, 0xad78f5ac, 0x76279fbf, 0xb688a222,
+    0x7e898824, 0x2e7e8ac6, 0xdf8399c5, 0x5278fd53, 0x2670e3a7, 0x696bec00, 0xc3c60af3, 0x13bce6b2,
+    0x9d8db602, 0x9c0f475f, 0xea6fc358, 0x20a07f8d, 0x0bb1a0a4, 0xfb413a51, 0x47f8aba6, 0x2890840f,
+    0xb59ad15e, 0xcb9c6c03, 0x6b732d83, 0xd235ef52, 0x86ab71c0, 0x9f73b900, 0x0a8c6d9f, 0x090c1964,
+    0x260f3b09, 0x7b501b2c, 0x8191b3cf, 0xb409b67a, 0x6a19990e, 0x511961a6, 0xcb360412, 0x2f1d15d8,
+    0xe42ca0a4, 0xec974abc, 0x620ef57c, 0x3d37c5e9, 0x4178b9e3, 0xcf075424, 0x01c9f269, 0x3e19c34d,
+    0x4fec468a, 0x470bbc15, 0xde6ebdc6, 0xd28882cb, 0x31cae04e, 0x18297f28, 0x1c41e6f2, 0x0cab56a9,
+    0xb546b94a, 0xb06f57f1, 0xfc39d629, 0xa48ceb36, 0x955e9e08, 0xc9fb871a, 0xb34ad0b2, 0x70acde90,
+    0xcdfb55e0, 0xec962bf6, 0x441ef5c5, 0x2a6b97ce, 0x1540a7c3, 0x25aa2e5f, 0x5243c191, 0x519a7f06,
+    0xed74c93e, 0x47473e0a, 0x4471e548, 0x39875330, 0x8f0d01af, 0x08babc32, 0x8dc3d961, 0x95eec381,
+    0xdb23a126, 0xaf3b2179, 0xe36f054d, 0xd2d08ee6, 0xaf4ec4c9, 0x5426755c, 0x6c9a5c2d, 0x8550ca47,
+    0x72184d49, 0x98543e8c, 0xcec6d6ff, 0x3cd011e8, 0x631cc8f7, 0x6a6e896a, 0x993c3457, 0xc01a139a,
+    0xa6bd8bb2, 0x28c44134, 0xebda2650, 0x2b8f4dcd, 0xf572cf16, 0x65f2fb03, 0xb577fa9f, 0xa3070a19,
+    0xcd01817b, 0x735f5c11, 0x66089cc0, 0x43b64b20, 0xf2a1386b, 0xe8a44bf1, 0x1ceb5098, 0x7cd6e160,
+    0x227706a6, 0x926c2ac1, 0xc9a5b1cc, 0x7dadf62a, 0x91ce2acc, 0xe910c967, 0x59a8c088, 0x838a7045,
+    0x2842c330, 0xa584cb6c, 0xec8cbb02, 0x59828708, 0xa6edeb0a, 0x29801c8b, 0x24170de4, 0x4cfddd3f,
+    0x4ef5baa0, 0x7e90c354, 0x4ae7c850, 0x05a7336a, 0x2e45290b, 0xc718ab2c, 0xe91c1b7d, 0x21388e4e,
+    0x31ec80a6, 0x7e1f7763, 0xe5744eac, 0x547fb6fc, 0x99205f5c, 0x02be2622, 0x7befed4d, 0x5fbf06dc,
+    0x62dc2d73, 0xfad15fa8, 0x806aa0bf, 0x49efa18e, 0x2d92bc4a, 0x969377d5, 0x770cd860, 0xacd039a3,
+    0x2082b406, 0xd46663b8, 0xed45d74a, 0x3cd3264c, 0x76794456, 0xa896d02f, 0x138db145, 0xf5020dc5,
+    0xfcd34685, 0xa1c8c19c, 0x770f7229, 0xc46513c5, 0xab2b9ef8, 0x904d418b, 0x24ee17ed, 0x2fe40423,
+    0xbedcb087, 0x296a7e16, 0xaa84f7cc, 0xa5e7cc3f, 0x89ccccfc, 0x1f9e9f01, 0xb54074fa, 0x79bb4799,
+    0x6060c4d9, 0x72c1a091, 0xc44c9c2b, 0x9861ac6d, 0xac2161d4, 0x7f552079, 0xcd0c2bd4, 0x92ee8b49,
+    0x2f3f5693, 0xe95574c7, 0xcc5b1dfa, 0x55353750, 0xb15fa8bc, 0x80fcfc04, 0x9ec61ba7, 0x4811ce07,
+    0x6ee61bf1, 0x9adc0330, 0xe51cb87e, 0x6abc0007, 0x80ed7ad6, 0x4c13c71a, 0xe0a4de39, 0x7c10e479,
+    0x238028c6, 0xc2ec4f7d, 0xde2a7304, 0xaa19c66f, 0x07dc688f, 0xbb26b735, 0x4bd56d59, 0x231172e0,
+    0x85c6276f, 0x2af99e8c, 0x2f264119, 0x358b5695, 0xae6e3a79, 0xd09f724b, 0x197a440f, 0x2b213dbd,
+    0xfa5132ef, 0xad7f1634, 0x1e467c20, 0x74bd5d66, 0x3e031d47, 0xba6ef665, 0x38e56fa9, 0x09413ba2,
+    0x974d9de5, 0xc9ffbceb, 0x21b357e1, 0x368d11df, 0xb7cde2f6, 0x1a258668, 0xa6924628, 0x9fdc5c27,
+    0xc0c527f7, 0x6bc32575, 0x5d764d36, 0x7d028baf, 0xfbe4e15b, 0x55f553f1, 0x5aae8e42, 0x7109288a,
+    0x59653325, 0x390d887f, 0x3c2a1f8b, 0x6809d14a, 0x886fecb6, 0xf926ca95, 0x371a59a3, 0xe2b055f7,
+    0x30fb5f2f, 0xa3c1edf0, 0x2094cc6d, 0xe2f3732e, 0x2d0a6136, 0xd779cb3e, 0xbd5a529e, 0xf7dea115,
+    0x7c5291b6, 0xbe1ad55f, 0x2331e718, 0xbad94cba, 0xd780067c, 0xdcc93579, 0x8f50388c, 0xe82a3e83,
+    0x652683a9, 0xe6754db9, 0x78849ddb, 0x26bfc298, 0xcfa8126d, 0x1df31037, 0xbb1412ed, 0x05ad3d55,
+    0x243c90c8, 0x286c43e5, 0x91e303db, 0xd1c4953f, 0xf8e82a44, 0x053e634a, 0xa4ef257c, 0x285b052a,
+    0x70934067, 0xaacfb81d, 0xe50afcc4, 0x24e36e65, 0x050e1148, 0xa64e5cf8, 0xf3f043e4, 0x5ab9a9b7,
+    0x3bb962d3, 0x7c328055, 0xfa3823b4, 0xdf0f2e97, 0x22eba67c, 0x60064fa0, 0x22068097, 0x7234af30,
+    0x53cfa00e, 0x4fa593e9, 0x53f68cfa, 0xa75d6635, 0x2b1a0f13, 0x7082ba95, 0xced323be, 0x50860370,
+    0x196d4f16, 0xdb87d3f7, 0xf8d158df, 0x9d20808f, 0xc1dc1d49, 0x4ae7b598, 0x94395fb6, 0xca1e9e48,
+    0x27ccfc47, 0x55c215a9, 0xf4e4582b, 0xef557a68, 0x6912578a, 0x842bb46c, 0x7d39b04f, 0x59b3338e,
+    0x0c29f05d, 0xb5d9d64f, 0xd3c73e8a, 0xb39e6a3c, 0x69dfa079, 0x61345eb6, 0xeb9c971c, 0x9d591ed4,
+    0x61a75c76, 0xe2466033, 0x40e02787, 0x0701e6bb, 0xef3d5f91, 0x1c15d72b, 0xc90ac0a9, 0x7c6cb943,
+    0xe3afcedb, 0xb5af79ab, 0x853494d0, 0xa8293076, 0xf6b6f05e, 0x94471bff, 0x2403dff7, 0xe5699a6d,
+    0xaa42f02d, 0x808e4b8c, 0x079340c6, 0x6965f2a1, 0x4d43fac6, 0x493f1314, 0xfcdc1362, 0x0268d894,
+    0x342935f1, 0x5da6074c, 0x2376b4e8, 0x24ae1068, 0xf0ab0401, 0xc9e6d2d3, 0x0f8b1baa, 0x6bbd8d1c,
+    0x4c11366e, 0xd7eae51c, 0x213231ad, 0x030354f6, 0xae141c72, 0x17e7058c, 0x16dc5349, 0x7027609a,
+    0x6470708f, 0x09e93dea, 0x76ced7cb, 0x25804d70, 0x463577f6, 0x9494e3a1, 0x2c95061e, 0x169d12fb,
+    0x67b8d6d9, 0x49a2b0c2, 0x2b5855f3, 0x3e461f38, 0xb363ceb5, 0xf08727dd, 0x9d62a924, 0x105b0c7c,
+    0xb2307312, 0xb45e5cfe, 0x6da21491, 0x9b1a47e8, 0x9b5e0c18, 0x8e96767d, 0x2be09749, 0xe82d3407,
+    0xa55252d0, 0x3d6cb2dc, 0x6bba51e5, 0xe8061502, 0x1b2c1f44, 0x96b623c8, 0xc1d3f638, 0xb2f47cb4,
+    0xf5f41612, 0xf177454b, 0x345d4edb, 0x8035e557, 0x470ff0c6, 0x870d9a2e, 0x76fa8a09, 0x390029c6,
+    0x5e5603b0, 0x3a617a92, 0x1b7f136d, 0xca810925, 0x7f148e36, 0x7cb89a65, 0xdce104bc, 0x4d2ecc5e,
+    0x66b99513, 0xa1b6aeef, 0x96cadc3d, 0x895af2ed, 0xe5136109, 0x36f1285a, 0x58f6d5c9, 0xb9f6e1ec,
+    0xbb531035, 0x3134d481, 0xfc3b2327, 0x426f3a82, 0xe2e47f9b, 0x8d170454, 0x4ea50121, 0x1c83f2fe,
+    0xc623bc71, 0x2e5a30bc, 0xcacb8154, 0xd1cc3b42, 0x78772191, 0xaade4fe8, 0xcd4aaf30, 0xf81f8e3f,
+    0xec44c47d, 0x0a74f619, 0x0818bc5e, 0x931ca59b, 0x4a97fb48, 0xa0a3105c, 0x64675eb2, 0xbf6cfa3e,
+    0xda8c027a, 0xf2859b6c, 0xb454f8e4, 0x6ca69a85, 0xf9bb52d8, 0xe84d971b, 0x83712321, 0x55cff823,
+    0x5d232868, 0xb2bbfbdd, 0xf71cc08b, 0xa6529b20, 0xf37512f2, 0xa29d1246, 0x5760398c, 0x79bd8a84,
+    0x67606846, 0x40e27643, 0x3d807339, 0x4eba33e4, 0xb3b846d0, 0x37f53945, 0x7e329596, 0x5a057786,
+    0x52c68a03, 0x80e98244, 0x194b5285, 0x43360818, 0xd128007f, 0xb1ece32c, 0x528e1b4c, 0x37ab1747,
+    0xa1d9c3cc, 0x5505c9af, 0x6e92b825, 0x3c7bf155, 0xb0c2e912, 0x7906047c, 0x838d3608, 0x54db5791,
+    0x8c0cd0e3, 0x7d60f4ee, 0xeb420dfa, 0xf8e60ea8, 0x3430ab14, 0xba506012, 0x47f81a04, 0x910c2925,
+    0x1790737b, 0x327bc894, 0xc0919e37, 0x8a39e436, 0xa084651b, 0x9ce7df19, 0x1474a4fa, 0xbf9ae478,
+    0x7d361a22, 0xc4ea73dd, 0x1477267b, 0x8815fe57, 0x3ae75f87, 0x132ff241, 0xb2ad12bc, 0x4f4c1674,
+    0x815da501, 0x8b301cd0, 0xdc92820a, 0x4d7d7f69, 0xdfab43de, 0xa631acbd, 0xcc1f6d45, 0xa7503481,
+    0x3455a30d, 0xa70acbf8, 0xd9b12185, 0x6ff958d3, 0xabf7be7b, 0x2821224c, 0x5e1c24ad, 0xde80a117,
+    0x5a7ebce1, 0x0c673d05, 0x0c09f669, 0x19a34a8c, 0x15753778, 0x97d3fc0f, 0x01e45cbe, 0x86547456,
+    0xb1653081, 0x75c8b69d, 0x4fe73d51, 0x814a2523, 0x39016aa7, 0x9360d429, 0xc4b4e8c2, 0x1b9fd3b8,
+    0xae997448, 0x2ecd51e9, 0x8b9164c0, 0xb15ef1da, 0xa71214a7, 0x9f2aaa4f, 0x8fdbcc27, 0x6ca7c8d7,
+    0x2707887e, 0xebf8178b, 0x4b0f3afc, 0x6a0beb0a, 0x9a145a49, 0x17956026, 0xcc4812af, 0xb7710c5b,
+    0x40b1cae6, 0xbd52e345, 0x55e8c8cc, 0x9ef6602c, 0x60004268, 0x793ea76d, 0xbf491fd6, 0x3eca3ce3,
+    0xebef2b20, 0xfc44d7c0, 0x93be94d6, 0x36ce12d6, 0x6bb8f2b9, 0x7c3cc946, 0xc3e525e3, 0x5dd3e13e,
+    0x24ce4155, 0x95a26a87, 0x793a03d5, 0x314ed65a, 0x3258bc6e, 0xbd5a601d, 0xbfc06fd5, 0x400d6d0a,
+    0x01b773ac, 0x43482162, 0x7c33df79, 0x2fd61b04, 0xfdec1659, 0xaf52b7ed, 0x1cbef2ad, 0xd4df0d62,
+    0x02e5ced0, 0x5aa6620e, 0x1f8be8e2, 0xee7cd110, 0x72f95df3, 0x509ca160, 0x06771658, 0x31eb0421,
+    0x7686e8fe, 0x04cc9d03, 0x257b7b45, 0x4191ee7c, 0x8ad9471e, 0x3029cd8d, 0x537889c0, 0xd8181571,
+    0x76f5b83a, 0x0dd45f2f, 0x4d1f95eb, 0x0a9d48c8, 0x1b185a43, 0xa6382e5b, 0x4652b66e, 0x8ee5e2dd,
+    0x804f8712, 0x9cff2064, 0x0552a159, 0x61ca9569, 0xac3f99a8, 0xef7ac4fa, 0x52cad866, 0x529474ef,
+    0x5e28b112, 0xe9ce393d, 0xb2101568, 0x3fdc45f0, 0xb0c3b74e, 0xd51ef68d, 0x202514bc, 0x5868e76a,
+    0xab7941cc, 0x6fb43400, 0x9ef3e71a, 0x08f1a115, 0xa06bfb3c, 0xd0f3becc, 0x731ea658, 0xe09110c7,
+    0x16ccd17d, 0xebf2b59d, 0xb33dc117, 0xaa0221b8, 0x98bd78b3, 0x0a445bc5, 0x121fda5a, 0x9fd0c3f9,
+    0x95258d92, 0xcc4f8751, 0xca24fca0, 0xd76d0d0e, 0x5d859c3d, 0xc789ec49, 0x78afd9fa, 0xbb1b2414,
+    0xb9dd3dfa, 0x95532dc9, 0xa664707b, 0xd139f9cc, 0x62a769d6, 0x53fa9af1, 0xb3847026, 0x6b251724,
+    0xa4c38548, 0xfade8761, 0x0a4888c2, 0xa6aef9c9, 0xd901aebb, 0x1f231633, 0x02b3f20b, 0x0794dfb2,
+    0x8d28eefd, 0x6a4079ec, 0x8793a3a4, 0xe4547c7a, 0x5c7395c8, 0xeb2b713f, 0x36ff9884, 0x897a95a8,
+    0x90feb2f2, 0xaccce186, 0xb79cdac7, 0x9a302dce, 0x34a4ef99, 0x2093d282, 0x4bf00b98, 0xef635e77,
+    0x2ed898d1, 0x431edfbb, 0x4b5d6df0, 0x1cc88694, 0xea9ac033, 0x3714ffe3, 0x6f5b61fe, 0x884fe237,
+    0xac091774, 0xcafee4c4, 0xb402aa91, 0xf1d4b8d5, 0x5a5df9e9, 0x9e4ef201, 0x26ef784d, 0x1b21d112,
+    0x0d607c9b, 0x2c4dcc14, 0x063e52bd, 0x5a6ce81a, 0x0e02b621, 0x957471ca, 0x0741fa59, 0xed4b0f25,
+    0x43f67e72, 0x85ba88af, 0x828f607a, 0xfaf45d8d, 0x0d728a24, 0x0af4e0b1, 0xd904ce0b, 0xc02d2862,
+    0xcee88a71, 0x953a274d, 0x8afa2bca, 0x5f9f91f2, 0x2fb5dda3, 0xd721cae1, 0x0ed74914, 0x298a1883,
+    0x9e9e43df, 0x319dc565, 0x8080ed6d, 0xf4209263, 0x50c4d7d9, 0xc097e4f1, 0x2b550c9e, 0x8a3b5709,
+    0x0ac9c0e0, 0x0342385f, 0x816527be, 0xa97339da, 0xbba3d18e, 0xa71f4bd2, 0xe84d8e0b, 0x82cb9a01,
+    0xc821e79c, 0xd9e5dfbf, 0x77522cda, 0xf1110361, 0x35f8283c, 0x6b1bf025, 0xfd9a3710, 0x3ff99582,
+    0x2eac489a, 0x3cbae558, 0xf9e19842, 0x703a8d41, 0xcee4cd5d, 0xc30ea916, 0xb4f6e32a, 0x83f52d94,
+    0x9e8a1c95, 0x89ec5151, 0xc3d80bb1, 0x0ac85f81, 0x28aa3185, 0x7d63b2c5, 0x2a203b07, 0x5aa42a6f,
+    0xccf96169, 0x103cb5ee, 0x7376a009, 0x092cdeae, 0xc1ea1634, 0xfabc7d8e, 0x9b7c3122, 0x927486b4,
+    0xbc04e654, 0x2b824667, 0xc2076f44, 0x9934cee8, 0xd4c0a52e, 0xa219f8d2, 0x75fa847b, 0xb12fd6f2,
+    0x17c3f208, 0x7c9cf98a, 0x0652ef7a, 0x7df1d363, 0x2333bdb7, 0xaeebcc90, 0xe76acae4, 0x34070c0c,
+    0xa4c3af81, 0x28b0f9d4, 0x99b31d50, 0xe2b9e88b, 0xa3d58142, 0x5dccc886, 0xa3b163e5, 0x0fc4ca13,
+    0x41792d9e, 0x4798dbfc, 0xb52d4561, 0xe5fdd980, 0x07e03637, 0xe77fb556, 0xd4f0fd8a, 0xbc0b5137,
+    0xc80ffa1c, 0x9b183da3, 0x4e73cd3e, 0x410bcd4e, 0x1082efa0, 0x623de6fd, 0x6b7d14ac, 0x0b817a69,
+    0xe462fea0, 0x6431dae5, 0xce68fb4c, 0xe46a8798, 0x0314c4ca, 0xf93f19e6, 0xd94c8f30, 0xf8a60d2a,
+    0x09e18df8, 0xd7946624, 0xfe09455b, 0x9bf3939f, 0xa4f60ad5, 0xb6c198f7, 0x1264e6f8, 0xf273219e,
+    0x45ce6461, 0xd7843dd1, 0x335e372b, 0x2a2fdb23, 0x16be5144, 0x9a7e13ca, 0xa388c563, 0x0caa8804,
+    0x33b27069, 0x8ecb1ce0, 0x2d9dc9a7, 0xca2d4fad, 0xc95b5eff, 0x6886a714, 0x886fe38b, 0xe6d10c7f,
+    0x2342a7ec, 0xa0199336, 0xc52944d2, 0x6103950e, 0x3fe86029, 0x2dc33ea6, 0xfe70571a, 0x250eace5,
+    0x2079cbbb, 0xed5c0d8e, 0x135420eb, 0xf839bfba, 0x2c4490b7, 0xae63a249, 0x4da86860, 0x864ffc67,
+    0xc443da37, 0x2cfaf58a, 0x8587c938, 0xcc50b90f, 0x4eb26e04, 0xbe260214, 0xb6a840a7, 0x1a10ba0b,
+    0x02d9c315, 0x02c5beab, 0xa9d0c41b, 0x13d43a0e, 0xf2de509f, 0x20942078, 0xc2ff3d14, 0x59d0eca0,
+    0x4cc5e807, 0x4d83a43d, 0x45cf04b2, 0x008d236d, 0x18538cd0, 0x3843a99a, 0x85dbff10, 0xa8b2a618,
+    0xd01b1057, 0x2b40907d, 0x254b0566, 0xc8a8ed1f, 0x8ccebee7, 0x264377f2, 0xb35aa3ab, 0xd6c23488,
+    0xec530ef6, 0xc156e798, 0xd081092e, 0xb7b07bb5, 0xede210f6, 0x9b66baf6, 0xca501a7d, 0xac17ee08,
+    0x3c21e5f5, 0x7c9c1983, 0x45f6026a, 0x7cab2aea, 0x79e38f9c, 0x6083b350, 0xd2f943d0, 0x47b009bf,
+    0x00000000 }, /* 10**-00000000062434971006319844627631944595863326114971962853299423017183139192507\
+                          43477639531240240612206126983942319653862242813245790895951358576570612580352 */
+  { 0x00000000,
+    0x3ffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfd,
+    0xf461e98b, 0xe66bc085, 0x88ab8317, 0x076d0552, 0x714bd0a7, 0xaf2846df, 0xea68d6ac, 0xc03a74c9,
+    0x00000000,
+    0xd8bad06d, 0x46b60d30, 0xbcff2320, 0x09888fc5, 0x5f1bfd0b, 0x679b21aa, 0xc0365cd3, 0xe571b92f,
+    0x2f6a9b45, 0x62a2a4bd, 0x9d1cf5d2, 0x2ffe2a72, 0x497145ff, 0xc1493e6f, 0xef459792, 0xee3d0676,
+    0xd481df2e, 0xcce994e0, 0xbc58c217, 0xf8545208, 0x4d7520c8, 0x03ba5cd3, 0xcabc8f05, 0xc2810c49,
+    0x83b373d5, 0x7f4676e8, 0x40b87c46, 0x79770e45, 0x50ff83e1, 0x59cc2021, 0x33ad5d7f, 0xd83c37fa,
+    0x4876f8d2, 0xee89cbf4, 0x6e8a6225, 0xeb2eee68, 0xec740e64, 0x8ed2540d, 0xd120a561, 0xbbdae658,
+    0xc07a5e91, 0xc376f5f0, 0x58c1194c, 0x9d85efd8, 0x349beba6, 0x5156437e, 0xa10d74d2, 0x1a291d0e,
+    0x17f63032, 0xdd333bdb, 0x556b7501, 0x0e0fd00e, 0x659de044, 0xa2e0656e, 0x2c6ca766, 0x53d7836c,
+    0xce6f2b1a, 0xc5aa54c0, 0x90ba9068, 0xa34525f4, 0x8af4ca1e, 0xcc127c67, 0x188d5fe3, 0xb4a014d1,
+    0x8db11e34, 0x618bbb8c, 0x7bf7a5fd, 0x3f87ca3e, 0x6d917368, 0xedf38aca, 0x3dcab7bb, 0x0f208713,
+    0x2bc8a56f, 0x2c0b0904, 0x5c1e9a9f, 0x36b1c1cf, 0x9be6c4b7, 0xdd2f262a, 0xa405bd40, 0xaa526c23,
+    0x362f71ee, 0xb8e1f5b5, 0x443fbb09, 0x6c72a0f7, 0x19df79c5, 0x824fa586, 0x0c3c80a3, 0x6145342c,
+    0x433cbb64, 0x97726d91, 0x2c2b399c, 0x43892362, 0x1ca8932d, 0xbbc7620e, 0x72e169ed, 0x76fb0f53,
+    0x0cf6d030, 0x3ed7fd72, 0x07296893, 0xd63cca66, 0xacdfb187, 0x364faa8f, 0x1e9c0a6f, 0xdd6e5987,
+    0x39c91ec0, 0xeef99cc3, 0x31dd6fdb, 0xb2c6a0b8, 0xddfe459e, 0x18dee4f1, 0x7af0d823, 0x2df3062e,
+    0xfa266311, 0x7bff5690, 0x6390d5c1, 0x0e653470, 0xcfdbbe4e, 0x2a4f5ccb, 0x4c5daf60, 0xddc88977,
+    0xf8da3112, 0xf00c8f9c, 0xf5cea1bd, 0x3c69643f, 0x5cf6997a, 0x9a094f66, 0xeb89a644, 0x6c96f52f,
+    0x3f7f21f9, 0xd6eb6e70, 0x49359ee0, 0x850532d7, 0x500734ad, 0xe0ea5441, 0x9053c9da, 0xdb90ebb4,
+    0x16d60931, 0xd996cb6b, 0x2e7defb7, 0x53fe0e76, 0x61b20aed, 0x5d332b9e, 0xca7dbbe7, 0xe8ac1862,
+    0xaa60169c, 0xec9338b5, 0x05af00d5, 0x7f954e57, 0xc15e7acb, 0x12d4558c, 0xc0c63d34, 0xfb583007,
+    0x517c2a88, 0x11fea287, 0xf1d07057, 0x6ebfa501, 0x3625e04e, 0xfdbc94e9, 0x7642d959, 0x4b66c4f8,
+    0x14773d33, 0x77454c41, 0x55b16267, 0x149eaeb2, 0x51509640, 0xa220530f, 0x62eb2889, 0x1573b80e,
+    0x2309fa6e, 0xbda10709, 0xdc46ba7b, 0x0f2c5ac3, 0x207805a7, 0xda189cb8, 0x574c2400, 0xea72136d,
+    0x4029ff02, 0x397c9669, 0x34152d64, 0xe9c19697, 0x1de2e33c, 0xa1f02359, 0x20c04873, 0xf6ce8059,
+    0xc74d4174, 0x4036604c, 0xf31e356f, 0x36d7f3ba, 0xa5268b53, 0xb7d9e00b, 0x4b6f53a5, 0xf3e502b4,
+    0xe74c9d36, 0x420c97de, 0x82b80795, 0x273ad7af, 0x08f58a0b, 0xb87dc2ae, 0x8e5e8889, 0xf76eb9b8,
+    0xa9dab2ab, 0xb5600049, 0xf26c8004, 0x5e80b486, 0xb462efc6, 0x0f5761bb, 0xc163daeb, 0xcb144fbe,
+    0x4f5ad6cf, 0xf9686e85, 0xcc2b84bc, 0x2c404a60, 0xeee2332d, 0xca9afb64, 0x4675d81e, 0x191e2ac7,
+    0xa3f2e698, 0xc5ef5b2d, 0xea2090a5, 0x5cc017b4, 0x96ad3636, 0x3f7a4d97, 0x0002e4f0, 0x6c123b98,
+    0xc74eaf59, 0xa71d5e4d, 0xbfe86128, 0x4baada9e, 0x5eb46b10, 0xaebfbffb, 0x705bae09, 0xc86f2789,
+    0x873afd62, 0x5b326962, 0x9141a7d5, 0x96f68d4b, 0xb631acb3, 0xf571b969, 0x8c8877c2, 0x29752814,
+    0xef8496b9, 0xf7922d6a, 0x7a83efce, 0x5b02b5c5, 0xc21f6b1a, 0x93e82aee, 0x615f1191, 0x29480964,
+    0xecddfab9, 0xe6b211cb, 0x80b2f096, 0xebfecd06, 0x53b688ec, 0x971d2858, 0xb46f1640, 0x13671320,
+    0xad701407, 0x63340e20, 0x651371a3, 0x0a62a21b, 0x0c3f9ad3, 0x88fd05ab, 0xd1b75e18, 0xba595403,
+    0x3d24b28d, 0x4da9ac0f, 0x3847b1ce, 0xaddeb9e0, 0xa86c3e5c, 0xceff6b3a, 0x50bed64e, 0xf6da12d0,
+    0x2bdccec2, 0x41a24d5f, 0x93ff64c0, 0x8083be42, 0x6e8d6b2d, 0x1ea8376a, 0x056ee22e, 0xbf8660e1,
+    0x02361580, 0xc184819b, 0x4617f870, 0x30209f85, 0xfbd83f6e, 0x822310ad, 0xed86e2e0, 0x99aeca20,
+    0xf601fcc7, 0xd0d29b6b, 0xb1211a07, 0xf5d75c5e, 0x02197f0f, 0xc97282d4, 0x0aaa92cf, 0x0253fedc,
+    0x9c3fb33d, 0xb07e7a96, 0xd3fe1c24, 0x3116bd7e, 0x17dcf956, 0x6d4595dc, 0xd756eead, 0x99f568c8,
+    0xac35cc24, 0x1ae1f04e, 0x8b6e7d93, 0x6fd65870, 0x6d51c902, 0x68476299, 0xbbef7112, 0xde145bfc,
+    0x72df145a, 0xf21a73ce, 0xdc8f71af, 0xf2c4cad1, 0x04823b9b, 0xbfbd2259, 0xf8a25473, 0x04b21186,
+    0x3f970146, 0xc0cf96d9, 0xfb438225, 0x8b540eeb, 0xab135f5a, 0xe09c32f0, 0x35158ebe, 0x6baf032b,
+    0x3686a7fa, 0xb6999c55, 0x0ecd65f9, 0xc6c18b34, 0x3381e379, 0x78c2c7fd, 0x44a62c6b, 0x9269ddba,
+    0xbacbb3b0, 0xd5aa05c1, 0xad06c683, 0x7bea599c, 0x0c541db9, 0x00a8d6b0, 0x84841751, 0x9b5253ec,
+    0x91a8e1f3, 0xaf869d86, 0xa81c7a3b, 0xf4bd578a, 0x2fcf1389, 0xc3c43cac, 0xc4879939, 0xcea3ae20,
+    0xea75839f, 0x45705334, 0x23c72206, 0x5e51e5e9, 0xe4a1be35, 0xc967b88e, 0xfc605a34, 0x91a32720,
+    0x47eb92e3, 0xf45d34e4, 0x5ea70aa0, 0xf7558cb9, 0x7a3323de, 0xcf247f8c, 0x7c7deedf, 0xc3baca36,
+    0x74d5a8fe, 0x49ae4119, 0x05c8e7e4, 0x12f23227, 0xaa0cb664, 0x1d8538d1, 0x6fcd9707, 0xb5ad0f90,
+    0x87e9d242, 0xc5eca853, 0xb130ff53, 0xab352626, 0xd671edd1, 0xf82eaaea, 0x4580391b, 0xee66e601,
+    0x095fc0c1, 0x25c1f5b4, 0xfe27ddc7, 0x3d2e018f, 0xc6f57ae8, 0x56e4879e, 0xecc22e51, 0x986b0b69,
+    0xed434165, 0xbcd920f1, 0xede7fd54, 0xc76c8e24, 0xa99f00b8, 0x1a22cbaa, 0xe643398a, 0xa1b5292a,
+    0xd78f0455, 0x19a2141c, 0x3e7811a6, 0xad96f241, 0x4eb40605, 0xec2ffd0d, 0x609ec063, 0x8fc6b56b,
+    0x30e51bb5, 0x99716b65, 0x99ee0c32, 0x933f16d7, 0x48cbe164, 0xccf05f1d, 0xe94be233, 0xca63636a,
+    0xd141fa83, 0x51959d5e, 0xa283050e, 0xc0503cb2, 0x0094b50e, 0x48cf16fb, 0x8c62ae7e, 0xc5be9c9c,
+    0x35c534ce, 0x36902e6d, 0xc89431c2, 0xae5c3160, 0xdbd3dd6d, 0x3b4d4a45, 0x2a8db197, 0x64aecd65,
+    0x890fb49a, 0x15a8fa1f, 0x9cf3eaa3, 0x47b6d65e, 0x2510e4ea, 0x50d94462, 0x7dc1e097, 0x5e76f8ae,
+    0xa3646646, 0xa2c0733e, 0x12ff2b19, 0x2eaf82f3, 0x48e1da66, 0x884721dc, 0x9d80948f, 0x96760ed8,
+    0x02d873e0, 0x1fc37577, 0x731a31f2, 0x9f4e125e, 0xfd77d1f7, 0xb4119d08, 0x261ed409, 0x10cf5b3d,
+    0xfd9cd633, 0x499ff652, 0xa10cd224, 0x8a928b0b, 0x4f1d57f2, 0x658bcd9c, 0x232ad174, 0x711ebb64,
+    0x965132df, 0x56d19700, 0xab70f799, 0x0fbf9808, 0x2516a596, 0x121dcdb2, 0x9dcc96a6, 0xe1b54f2b,
+    0x8796d089, 0x162ac331, 0x7a591d5d, 0x89543dd6, 0x3cf86c54, 0xb34a2ee8, 0x54e01b20, 0xab4e26f8,
+    0x68c0c259, 0xa84dc6b4, 0xc79d84eb, 0x6cb68e54, 0xff7fe2c0, 0x3870feaa, 0xfe85c51f, 0x4ef05dfb,
+    0x1ec326ae, 0xbfc45c2f, 0x4502b983, 0xf6c1ccfd, 0x43684ba3, 0x4f19ed63, 0xde6587fb, 0x52ef474b,
+    0x1dbae3ba, 0x9b160910, 0x11d94519, 0xcc4f6ab3, 0x516c50e9, 0x8f871818, 0xc60266f9, 0xfcf7f321,
+    0x73536f43, 0xac7fe38b, 0x39b64acd, 0x87476cea, 0x3836c118, 0x775f04d7, 0x523aec08, 0x466c0dd7,
+    0x17b5d192, 0xa5db7827, 0x523d7db3, 0x981418bc, 0x866a7a5b, 0x86980c92, 0xbec76b32, 0x2ec20863,
+    0x7157b0a3, 0x7e05468f, 0x9b00c896, 0xce16ea44, 0xf2e6ede3, 0xa60457da, 0x793a696b, 0xdbf520a0,
+    0xc93ac565, 0x368097af, 0xb33535aa, 0xaa8c4ae7, 0x7ddb6d20, 0x7f374555, 0x09e014f8, 0x1e46601f,
+    0x6c970b1e, 0xa26dc17f, 0x68c5fe28, 0xf9930eca, 0x8a20b845, 0xae6cb071, 0x31a76b74, 0xa37769f4,
+    0xd21dd302, 0x2d50eb5a, 0x5b9b5d81, 0x57a1e3d0, 0x40517926, 0xaaff577c, 0x931ad613, 0x35318095,
+    0x5ac2f07a, 0xfc67211f, 0xa187a854, 0xa20d5c9d, 0xc4310e6e, 0xedf90647, 0x8db4075a, 0x974a2165,
+    0x7e49157f, 0xe8a3424b, 0x5807dfe6, 0x0e88688c, 0xdae32e54, 0x19953be5, 0x5295566f, 0x7b5fe9fc,
+    0xf824d488, 0x67a40c4b, 0x15f190f3, 0x94fa8b0a, 0x340d2cc5, 0x8ec4e5d4, 0x598b59a7, 0x8c6fe8a0,
+    0xa8a5bc68, 0x997cf9bd, 0x093beefb, 0x18451a26, 0x3824dc47, 0x3afa57f1, 0x02d46293, 0x9d1a5447,
+    0xff23db1b, 0x1877b7ac, 0x436e5a5b, 0x8b6fa1c2, 0xeb12ffea, 0xa62b33c3, 0x52f5312f, 0x029f8acb,
+    0x86eb508b, 0x2dbfb37e, 0x4b8bbb67, 0xe0d16692, 0x63bf4e1e, 0xb0243131, 0xb94edfb3, 0xa0e1ecf5,
+    0xe1eb4b6b, 0x8456d5cb, 0x01c0d238, 0x4f96ae46, 0x999677c4, 0x9e34ea0d, 0xe9556646, 0x4f0cf5b0,
+    0x112b24d8, 0x82b254d5, 0x1b6021a8, 0x58b6dbc9, 0x6ba8f371, 0x996a4680, 0xd7f9321d, 0x16855836,
+    0x1192931c, 0x9cf70da0, 0x4ac1c11a, 0x48330894, 0xf3cf13e2, 0xba9dcece, 0x569a827a, 0x768bce28,
+    0xb2c406d7, 0x913b78a2, 0x536138a8, 0xb174a163, 0x3c58c613, 0x67cdabba, 0x89305d1c, 0x0d800847,
+    0xcfec7d2d, 0x84f76bbe, 0x01a68cc1, 0xeadb349b, 0x7b61556d, 0x17b256ad, 0x095e139d, 0x9b5fccaa,
+    0x76b6af26, 0xa059b047, 0x01c459bb, 0x45de4949, 0x257d4fd1, 0x77ac4faf, 0x89b8d2a5, 0x4d44337a,
+    0x0b620945, 0x1faeae26, 0x7f09a6c6, 0xaa843a6b, 0xaee30bae, 0xd058a134, 0x897f5cb1, 0x48e442e6,
+    0xe0db4d63, 0x8f01a2d8, 0x9fadeb71, 0xea067acc, 0xc078d7ba, 0x91a55283, 0x7abb7e95, 0x163dc3ef,
+    0x5907ee7b, 0x49222672, 0xb7859125, 0x7d3fb850, 0xd3706f11, 0xa150301b, 0x5c2c84d7, 0x6e28f6d1,
+    0x4ce72439, 0x56c72cab, 0xe01b3c98, 0x41f8b0fb, 0x30c4df80, 0x7b67ec99, 0x18c08044, 0xb78c67fe,
+    0x2db949f4, 0x4c7e2259, 0xb18135ed, 0x6f939718, 0x93f2d217, 0x736f11c3, 0xfe44847b, 0xa9b8bab5,
+    0x3b7e5c3f, 0x62ffd3a9, 0x00aeb3ae, 0x57fb26bd, 0x5c048b45, 0xc04b4372, 0xf3efcd97, 0x66017d30,
+    0x880b01e0, 0x59de8036, 0x2c07514a, 0x0bde0bad, 0x858b30be, 0x037cb596, 0xb95bafa9, 0x30909ab4,
+    0xf1e27368, 0xa1ab7d22, 0xae6fe91c, 0x720ff801, 0x737f249d, 0xe6955906, 0xe1346517, 0x061cf52d,
+    0xd40be763, 0x87865608, 0x04f46290, 0x3532b8ca, 0x9c4ea0df, 0xdaedef20, 0xa4398611, 0xeb88f64d,
+    0x2e02fa86, 0x235c3f69, 0xf1692269, 0x45bc4921, 0x6e44b280, 0x71188f16, 0x96c93b0d, 0x0d260d81,
+    0x110df99b, 0xee10284c, 0x4bd8d561, 0x96dd4410, 0x6a52b5a2, 0xaa5ef622, 0xaa751d37, 0xa3b30f2e,
+    0x306ce9f3, 0x849c165b, 0x32469497, 0xc88b3e45, 0x87cd9e28, 0x0f01218c, 0x37c53b8d, 0xfe9b1a29,
+    0x8d6424d0, 0x2b33cd58, 0xd62a04f5, 0xa9505014, 0xc4e85647, 0x1ec478c9, 0x135996b3, 0x96001819,
+    0x34129880, 0x842d7270, 0xa361a273, 0x8dd20700, 0x6118a9db, 0x26d21157, 0xfd77fd56, 0xb3757f4e,
+    0xb0dd307b, 0x685e1011, 0x574346bb, 0xc969388a, 0x47b03fc0, 0x9cda3494, 0x5c3d16dd, 0x46c282cf,
+    0x25e50570, 0xd2d02ff5, 0xed82627d, 0xa5fd576e, 0xaf5a92a6, 0x30051d12, 0xac893949, 0x6c713e61,
+    0x2a0bf8b5, 0x3f14455d, 0xe910cdc6, 0xf10b2c37, 0x16bd8301, 0x26ee0829, 0xb85a8fc3, 0x4fb2ebd0,
+    0xe35443a6, 0x07ee6e91, 0x3849a478, 0x61f00066, 0x5c3c576e, 0x3124e4b7, 0xc99dad00, 0xe6250428,
+    0x83e31f59, 0x0dd59f48, 0xb1aae845, 0xc7667abc, 0xee3cf7a4, 0xcd40ec67, 0x3945ba58, 0xb6e9360c,
+    0xc96154f1, 0x252f88d8, 0xb4ef9311, 0x448b33fe, 0x7f547c7f, 0xa6559254, 0x9564f0c3, 0x2e9f3a69,
+    0x08561363, 0xf265e992, 0x20be3243, 0x68ef3b22, 0x8f091b9d, 0x84f83f09, 0xe9de2501, 0x4821a04f,
+    0x041ab1ac, 0x6801e9c7, 0x33a79683, 0xda5f81e6, 0xee92a6f2, 0xf41982a3, 0x7062718f, 0xa9092dec,
+    0x91c6c388, 0xf332f7ca, 0x172896c3, 0x0410d6b7, 0x9f370060, 0x8fb182e9, 0x99c3b987, 0xf9d3f0ae,
+    0x611cd5c1, 0xb25bb6e9, 0xffcc119b, 0xadb8d98d, 0x006be272, 0xfd9cfd87, 0x522cdb33, 0xa91b3733,
+    0x29cb7235, 0x0560a8d8, 0xf6fd6f67, 0xd4ff8b7a, 0xaaa78450, 0x40cee186, 0xaf85cee2, 0x2608b6fb,
+    0x3152d0c7, 0x9efeb12c, 0xdf757994, 0xc818bb8d, 0x5cfc96eb, 0x4f6cdd70, 0x84abefe8, 0x54fcdf0e,
+    0x92472e31, 0x34e96c29, 0xa0287bed, 0xc7ad326c, 0x007edc6e, 0xd3d544eb, 0xc0a305f3, 0x0b1fbef4,
+    0x83a6aa43, 0x2af4a516, 0x61cdff30, 0xc4699152, 0xfcb4fcee, 0x5375e8eb, 0x1fa16bd4, 0x654c9616,
+    0x7c24fb40, 0x1fa15f6b, 0xea6c4b42, 0x490ee411, 0xba02afbf, 0x92488e53, 0x25d0f11e, 0x9ab156cd,
+    0xb4de1a78, 0x55b07fe6, 0x5b666133, 0x63c2c5a3, 0x1ebc65fd, 0x285e5e25, 0x95480faf, 0xf29e8162,
+    0x4d3c3f45, 0xadeb1687, 0x91bdc8ad, 0x061f3e26, 0xc44e35ce, 0xc9823d9f, 0xba0aa3a5, 0xa4218c59,
+    0x738af110, 0xa58bc339, 0xc70a55d5, 0x172254fc, 0xb73febf8, 0xefc44d0a, 0xae73a470, 0xae77aca4,
+    0x9022fead, 0xe0b902a8, 0x97e284b7, 0x295fdaac, 0x31c26e09, 0x4de7523f, 0xb1ea1f73, 0xe8258b22,
+    0x069b5984, 0x8e27f30c, 0xb83d316b, 0xb52c81fe, 0xd6eb460b, 0xab50d9d2, 0x3d42eb81, 0x7b0a8e13,
+    0x2134482d, 0x86c7cb46, 0xdea024fe, 0x1d5b04f0, 0xad5343d5, 0xaf87c956, 0x2b74ed7b, 0x9fba219b,
+    0x93240e6a, 0x5c4be4e9, 0x5ed040df, 0x18ab4094, 0x9c643747, 0x42f2b817, 0x1e1478c4, 0x351ac641,
+    0x066ed3f2, 0xe50a0f04, 0x697f6b58, 0xc7369a97, 0xea12aef8, 0x686af7f3, 0x3ae8c217, 0xd3f75a16,
+    0x60d03e68, 0xc33c60d0, 0xa73284fa, 0xc052e8b8, 0x7ea24d05, 0xc89e15df, 0x86282253, 0xb54d65f5,
+    0x9f2278e8, 0x7e6fe63d, 0x558d0a58, 0x0f573d55, 0x15f027fc, 0x01ccfae9, 0x2b7dc83f, 0x87f1da72,
+    0x309ed853, 0x1d1aa1fa, 0xd692ec0a, 0xad895740, 0x9086c055, 0x2657350b, 0x03c51def, 0xfd2a96fd,
+    0xb468bb5c, 0x4c1d46cd, 0xbb546a86, 0xe4c875fb, 0xe8382574, 0xdf165ee2, 0xf9a663ba, 0x208aa3a4,
+    0x82fb4b42, 0x0a76d424, 0x91a01a51, 0xc6eec327, 0x0afb79bb, 0x2d7b1290, 0x9e45805c, 0x678eb4c0,
+    0x3c254f72, 0xbc47b535, 0xb62c3abf, 0xf34282e4, 0x5b1a95c2, 0x34ecbe46, 0xc4fb61a8, 0xd8d2b802,
+    0x4bc5708a, 0x25b3e28f, 0xab55ab4f, 0x5252854e, 0x947031e1, 0xe84cf0ce, 0x9fda3583, 0x8c04d5b7,
+    0xb95d34c6, 0xe32e5625, 0xae15615a, 0x82cf495d, 0xc71a949a, 0x43f29290, 0xd06ee741, 0x1a38e795,
+    0x00000000 }, /* 10**-00000000031217485503159922313815972297931663057485981426649711508591569596253\
+                          71738819765620120306103063491971159826931121406622895447975679288285306290176 */
+  { 0x00000000,
+    0x3ffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fe,
+    0xfa30f4c5, 0xf335e042, 0xc455c18b, 0x83b682a9, 0x38a5e853, 0xd794236f, 0xf5346b56, 0x601d3a64,
+    0x00000000,
+    0xa68eb98e, 0x1500d219, 0x4a23e5d3, 0x5ac3ac32, 0x231fa0ee, 0x03d96478, 0xdf987f23, 0x87d013c1,
+    0xb1109358, 0xeb2daa8c, 0x0819ceb7, 0xbc5e0e42, 0xd6516f7f, 0xe999c73a, 0x04f80549, 0x0c97073a,
+    0x768c4caa, 0x6ecc6a47, 0x2dbb04c4, 0x28586378, 0x460ff68a, 0x39d023cc, 0xdf6765b6, 0xa27c3d1a,
+    0x9c08a1a7, 0x928d8a7e, 0xcc6610bd, 0x57ac4b86, 0x3ebcce37, 0x52955ab0, 0x8b02b894, 0xdb4bfa73,
+    0xb58aba13, 0x71331260, 0x4d540a1d, 0x86e4930b, 0xe0f18ae2, 0xcb870d4d, 0x1c5053d7, 0xe6aa6b66,
+    0x064c49a9, 0x0b27ed12, 0xeec71f4d, 0x175d8906, 0x48c3328f, 0x6b9cc1a2, 0x0a655c48, 0x0a1bc0ed,
+    0x987c73e4, 0x17bfdf24, 0x97066f25, 0x7a2c31f3, 0x8b95c5d7, 0xa0bdcdc9, 0xf1aa541b, 0xc5987420,
+    0x147e5ffe, 0xec65a728, 0x4b7dd610, 0xdbebadc9, 0x9900d467, 0x4a4e7b4f, 0x23888808, 0x60665dab,
+    0x5513d1ff, 0xd299e13a, 0x3754356d, 0x5cea0ef5, 0x10daea52, 0x9c70bcfe, 0xc831dc89, 0x70507c73,
+    0x369df693, 0x428a8033, 0x41a50f5d, 0x0b6f9fde, 0x2c6bbaac, 0x8c03b800, 0x3e08540d, 0x70847984,
+    0xc30c32db, 0xe5b7ced9, 0xd30c61b5, 0xd4caf2e8, 0x59672cff, 0x96c071e1, 0xd44adb60, 0xb05dac68,
+    0x5955dc21, 0x7f00a63f, 0x875d2eab, 0xd34c256f, 0xfd03dda8, 0x7042517f, 0x4e5bfadc, 0x02329ae2,
+    0x19039d92, 0xfdb3c60b, 0x9484e1cd, 0x3a1614a4, 0xd5023325, 0xeb38b3b0, 0x4061389d, 0xe0fc708b,
+    0xed6697fb, 0x74cf5e85, 0x112efcfb, 0x3158f931, 0x26bc7c51, 0x8a7469f1, 0x4d8e83ff, 0x083e8ac4,
+    0xb49dddcc, 0x1690cd8e, 0x8ac4cd92, 0x41f7a731, 0xd2c1477c, 0x8dba3db5, 0xff52ba9d, 0x870064e6,
+    0xffe9f06f, 0x463afd6c, 0xcd86357a, 0x6a49c563, 0x328b313e, 0x01c29041, 0x2127ca85, 0xfa457b2b,
+    0x0956d6ef, 0x2135a19f, 0xd0a4a69b, 0xf5409209, 0x6f79eaf8, 0xf0d5647b, 0x2a961a7a, 0xc88383af,
+    0xb176ebbc, 0xf4114918, 0x1fa5b837, 0xd989a9b3, 0x6d9ffc76, 0xc80db980, 0x5b28d7a9, 0xdec2d85f,
+    0xab045952, 0x5b0a9ed4, 0xb5c4ccb8, 0x76221a3f, 0x0a888b21, 0xde659d72, 0xb8afff15, 0xf043f900,
+    0x769bc67a, 0x799f7e92, 0xc1d3a51e, 0x29d54d31, 0x11120c03, 0xb1987c17, 0x28523264, 0xe29c8c8f,
+    0xb05799a7, 0xdf6b03dd, 0x871b5c9e, 0xcc91d98e, 0x6cef21a0, 0xd554b03c, 0xc38f8c67, 0xf4998b13,
+    0xfff4d43f, 0xa6463269, 0x2205cf9a, 0xbe3b46f0, 0x71d0b097, 0xd79f2a3b, 0xc29dad09, 0xfbd1429c,
+    0x60938876, 0xf8ff9403, 0xa6459c03, 0x6fa329d3, 0xd5ab2680, 0xd658ce19, 0x78e2c48a, 0x287e62a2,
+    0xd0dd6988, 0x56148bcd, 0xfd843fc6, 0xf5dd17e5, 0xff1b95f7, 0x413a062f, 0xebbb9d53, 0x76fdb078,
+    0x4f1635f7, 0x686878be, 0x8c04fde9, 0xebffc2cf, 0xcf22760b, 0x88ae6148, 0x6c1f30d1, 0xe74a28a7,
+    0xb2c8c9b9, 0x0f40058f, 0x0ed6c9ce, 0xfa11bbb8, 0xd2dedec8, 0xefcd11c5, 0xdfb95163, 0x2d8387bd,
+    0x5711ecb9, 0x99d28e59, 0xc31ebe95, 0x3a18e5ef, 0xf43487bc, 0xf0859c5c, 0x7bcbc8f9, 0x4de09cd8,
+    0xbe3d38b8, 0xaa722cfc, 0x2e35e877, 0xd60ed811, 0x2add104a, 0xedab7eb6, 0xfa91cfa9, 0xf25b9405,
+    0x52aed3e2, 0x8233ea49, 0x818828e3, 0xc7feadfa, 0x379a096e, 0x1a651274, 0x358cc258, 0xefdc6354,
+    0x3a5da626, 0x327b5545, 0x97cfd36c, 0x47c28053, 0xf9dc71c4, 0x2840de3a, 0xcf7c6158, 0xc63fbde8,
+    0xbffb9d3a, 0x327a05b1, 0xc53506aa, 0x4e3f77c6, 0x3f3bfc8f, 0x3d6869db, 0x3499185a, 0xa9b0bba9,
+    0x8532067b, 0xbb727df4, 0x3faa5fd7, 0x9a4f9991, 0xc080cbbf, 0xc3929f84, 0xaa8332c1, 0x8d27abf2,
+    0x693f16fa, 0xad1c76b7, 0x33f1ed05, 0x12a74dea, 0x72804ef1, 0xfb66662f, 0x6238a8c3, 0x8c55388a,
+    0x2168efdf, 0xa810957b, 0x7cc9a7aa, 0xd6067b9e, 0x44b676e4, 0x8de8fca5, 0x9469f36f, 0x187e8308,
+    0x1986301b, 0x60b44f37, 0x8f8bd71a, 0xc517d070, 0x32b69ac4, 0x2afeded0, 0xfb453ae8, 0x7e4011e0,
+    0xa14ec9c5, 0x822c761f, 0xe865947c, 0x1ec5aefe, 0x97e0dfe9, 0xf6610dd0, 0xab3102e2, 0x2bf89b02,
+    0xf2ffa577, 0xcc968571, 0xd8170cd4, 0xef19a44b, 0xdc886619, 0x4b20d4ff, 0x2b30b3f2, 0xff0357b3,
+    0x592b832e, 0x462c31a0, 0x5bbc99c0, 0x3689b4c4, 0x3c8d625b, 0xfaa9460b, 0xaaba3e64, 0xd1d1fb5c,
+    0x8ebfb188, 0xbe97a006, 0xe4a76071, 0x3df09b4f, 0x7fbc92b8, 0x4b8c4505, 0xe71238ef, 0x31a55642,
+    0x3489118f, 0x47865027, 0xa3251e6f, 0x2389ef51, 0x4a046c90, 0x476f40de, 0xf794cbc2, 0x72854e33,
+    0xd8501473, 0xc900e6db, 0xb9159ea6, 0x86902720, 0x7aa1c15d, 0xd953b7c6, 0x4c3d05d2, 0x04dd691a,
+    0xa675cdb3, 0xdc365b8b, 0xc1cc74b6, 0x1abacbab, 0x3a32cf8f, 0x59989d31, 0xda24c216, 0x899455ca,
+    0x5c4fd5c7, 0xd29c9a9e, 0xc690a8e6, 0x687f1402, 0x9f4b11fd, 0x24d03872, 0x9b9f6a7c, 0xa6e35200,
+    0x6cf9ee1a, 0xa48db637, 0x00f3d778, 0x2e3858a3, 0xa2c6f9bd, 0x59cac905, 0xd750de91, 0x9a4c20aa,
+    0xf8f50585, 0x0a045022, 0x3927f07a, 0xbb75af13, 0xa23cab58, 0x36709f39, 0x8d866ca7, 0x540d128c,
+    0x97fd4f05, 0x2f5837f7, 0x1aaa9ea6, 0x7ebcf2fd, 0xed97a049, 0x7ac75284, 0xbfc194d9, 0x285c4ede,
+    0x3af2df13, 0x7f0bcbf7, 0xd94d0c29, 0x3841fd0f, 0x8d5df156, 0x400531cc, 0xcda8505b, 0x283175e2,
+    0x16f688eb, 0x5681791e, 0x4e902ded, 0x0419c001, 0x8acdb96d, 0x1a3d4df2, 0x10cbe56f, 0xe7e990b4,
+    0xa83aa62a, 0x3d827134, 0x0c786729, 0x3021c823, 0xe32c9c45, 0x573c0dd4, 0x4c41695f, 0xd54b8f95,
+    0xad4bafa9, 0xa30b9fa8, 0xf1693589, 0x64de788b, 0x216d161a, 0xf9e4c98c, 0x2bbd68a2, 0x0fdfd8c9,
+    0xe3b33126, 0xbec1c372, 0x918e1190, 0xb39f429f, 0xa9f87dc9, 0x4491a4f5, 0x58fe42d5, 0x05d487d2,
+    0x916788ec, 0xe44b8e7e, 0xfe95342e, 0xa96ac336, 0x7d4c2074, 0x21523b88, 0xbe387f9e, 0xaf267e69,
+    0x8c5daab8, 0xad1df6a5, 0x2a612aa5, 0x72c67809, 0x074e5400, 0x8cf58c4e, 0xf610a48e, 0x8d9e68b7,
+    0x584f6562, 0x9d08ddc0, 0x435e86ed, 0x99081fe7, 0x59d81898, 0x772c569a, 0x168846b3, 0x4ef77d6e,
+    0xa594de54, 0x6a4f790c, 0x4df00161, 0x49da111e, 0xd72da22c, 0x40874011, 0x2eca51e8, 0xcd954e8d,
+    0xceeb64b0, 0x1eb40b76, 0x37dfa48b, 0xc4041a14, 0xa3c26dbf, 0x807506d4, 0xd78ed6ec, 0xc5b27114,
+    0x37fde0e0, 0x91b9ff64, 0x35a889dd, 0x846e7fe8, 0x35e8abc1, 0x0e952533, 0x1a69e5ca, 0x457ac2fe,
+    0x80e5eba4, 0x55aa7c3a, 0xbdb47ee0, 0xdc5562aa, 0x3ea31aff, 0x4a94d27c, 0x0a38cd59, 0xca0c00c9,
+    0x7bb6d1de, 0xd9899813, 0xe42459e2, 0x226d5474, 0x58f53701, 0xea4334d8, 0x1e4f436e, 0x504b2850,
+    0x761a25ed, 0xb3c306ce, 0xdb6ff0bc, 0x722acc47, 0x34977026, 0x7cbc632f, 0x8a501410, 0x289c175d,
+    0xccf3caf4, 0xaee05baa, 0x1a31ee7a, 0x6e4db236, 0x8ae26f55, 0xda7bd1e6, 0xc8e3d604, 0x3990e2b6,
+    0xb90cdcf3, 0x0a131b48, 0x3877f250, 0xb2037df0, 0xc102b76f, 0x3d86c492, 0x30e944e1, 0x2dd4ae47,
+    0xdcdad447, 0x39d637b0, 0xca2f9c24, 0xe852556d, 0x8c4763fd, 0xb134de73, 0xb185d2a8, 0xbfdeb574,
+    0xd4756aa9, 0x80f854d6, 0x1e60484c, 0xa748f956, 0x52d03d43, 0x2076db36, 0x76d05f10, 0x06d1a183,
+    0xe5e5d608, 0xfe24e4e5, 0x1a37e663, 0xb10acf5f, 0x340556b7, 0x8d5075cf, 0x5e2309c3, 0x85d90e52,
+    0x4e86ece7, 0x357b5be8, 0xa7c38912, 0x7711ba45, 0x65062e62, 0xdc966e9c, 0xd0ec8f65, 0x4389037c,
+    0x8709c305, 0x252bcb0a, 0xe101cdb6, 0xa7d57cca, 0xb24d58d2, 0xb7c3e57a, 0x056a6404, 0x5e1fc6b8,
+    0x5fa3a6e7, 0xcbeeffd5, 0x778ae892, 0x23b6aff3, 0x560dd1d9, 0x07a5cfbe, 0x424da09e, 0x9d5ea4d6,
+    0x0d368046, 0x47536499, 0x241c98d4, 0xa483af29, 0x3e2ec054, 0xa7b41b45, 0x2d696e8f, 0xb06947c1,
+    0x0b324523, 0xfa530dcd, 0x860a46d3, 0x1ce4c59d, 0xcc3f13ce, 0xa1980e2c, 0x308eecf8, 0x23dc58b3,
+    0x22e22f79, 0xb46a2abc, 0x19a38cfd, 0xcfb16566, 0x7699f8c6, 0xfa4852dc, 0xaddc6137, 0xbda40613,
+    0x4493b3bf, 0x3bebe14b, 0xc6067dd5, 0x743506f1, 0xd7032746, 0x43cc1b69, 0xab642043, 0x55120a99,
+    0x4b6b8b88, 0x868e4bf6, 0x5f14d7f8, 0xf7c0b6e0, 0x9ca9cd20, 0xedb82ac4, 0x1bd85d17, 0x09279164,
+    0x5a73291c, 0x0ac99bfc, 0x7429c236, 0x465e6d43, 0xc01456df, 0xe4f9824d, 0x1324a6c2, 0xbe28a232,
+    0x3ed30d70, 0xac1822a7, 0xa33e60d1, 0xe62224e6, 0x65e3c6e6, 0xf65cacd8, 0xd02daab6, 0xe18817aa,
+    0x0193ac86, 0x8bd595cf, 0x45ed37c2, 0x4fca811e, 0x3bdefd73, 0x1c31f851, 0xcff16a2b, 0xa4af55dd,
+    0xfef4421e, 0x34dcc933, 0xfe2d871e, 0x46362eda, 0xaf8f5758, 0xf3604529, 0xed72dcb6, 0x8cb40f2b,
+    0xf65ef86f, 0x2bb9c19e, 0x87eadc0e, 0x1a953929, 0x05e051e7, 0x85f942d3, 0xe4d09573, 0xa0f6f995,
+    0x2cb267fc, 0x0124f0f8, 0x932a0bbd, 0x3ead0910, 0x97284cb2, 0xc5a65dd3, 0xbc4c96c7, 0xc90e38eb,
+    0x0e5176ab, 0x3d108839, 0x7904f482, 0x561abe65, 0xf68f0008, 0x1d031d3d, 0xe4ff97e7, 0x05acd3c1,
+    0x6776da47, 0x42e66e7b, 0xc6389b0c, 0x3d492c5c, 0x6041ab43, 0xc3937b31, 0xfd1feb2d, 0x635c24f7,
+    0x935d8ee9, 0x9b91d7f6, 0x01b9a9c1, 0x61a64bd0, 0xdb8d4696, 0x62cb0be1, 0x68204426, 0xfcdc63a3,
+    0xbb25b154, 0x45948644, 0x08efded9, 0xb7520e5a, 0xe4b0dbb2, 0xab42147b, 0x96c524ee, 0x018c8eb6,
+    0x2ecc661f, 0x7f3f8e44, 0xf4ab460d, 0x97702495, 0xfe7f778a, 0xd8be4290, 0xe30ffa12, 0xf92b0911,
+    0xa19fadc6, 0xef9b6da9, 0xd74f17df, 0x81f08fc8, 0x7ee89df2, 0xb7b7cc18, 0x965e5a68, 0xba74c3cf,
+    0x94499cac, 0x4e5e77fb, 0x1ff0c76f, 0x6f040cc6, 0xa75bc2dd, 0x4c9a26e7, 0xac1128f6, 0x0a2cd065,
+    0x405b66b2, 0x5ebd1f64, 0xa5bc331b, 0x5523145e, 0x1d502e7f, 0xc4e45707, 0xa795f81b, 0xd353ea24,
+    0x28ec215a, 0x2e6c4008, 0x2cf140c1, 0xef365ec7, 0x3a100743, 0x1e691f0f, 0xb9a90c8b, 0x0687657f,
+    0x22944b6b, 0xbdfbab74, 0xba84f789, 0x732c8c4d, 0x0159e200, 0x1557cc84, 0xa9a3b4d1, 0x9b18f2ae,
+    0xeb960fea, 0x0a3da9cc, 0xe75c8ded, 0xcb0ef0ed, 0x51231aa4, 0x1be109f5, 0xbfc144e1, 0x32b11699,
+    0x8d1a56be, 0x765c4304, 0xa1165efe, 0x8c08bf75, 0xc7633790, 0xafac0d89, 0x2e471606, 0x77ebc984,
+    0x349850d9, 0xf8b98808, 0x0326daf4, 0x5ae2bfc2, 0xa0c954c1, 0xc49eba98, 0xa59da43e, 0x47bd13a4,
+    0x34982572, 0xf2cb2ece, 0x46f903f5, 0x3e0d4bdf, 0xb6a218ee, 0x22c2662f, 0x45a31313, 0x9db580de,
+    0x98c206cb, 0xe9c8e1df, 0x4fac83b2, 0xdee495fa, 0xac03dab5, 0xc220ecfa, 0x13d6bc37, 0xd228541d,
+    0x2ac9cf6b, 0x25013edb, 0xc64fd50f, 0x89e091e6, 0x6fb99802, 0xb10db9df, 0xb4dc8190, 0xec85cf36,
+    0xf5a094d1, 0x153d5ae8, 0xa7639160, 0x3746d660, 0x28379606, 0xf32b739e, 0x96b79208, 0xbf5e3f1d,
+    0x393dd02a, 0xff50fc8e, 0x77ab8f4e, 0x2f6f9cbc, 0x7ed9ceb9, 0xabe5b733, 0x37121e58, 0xa00b6f72,
+    0xd3700b68, 0xd97f2049, 0x7c61ba72, 0x7041f44a, 0x52edf654, 0x983591e0, 0xade0285b, 0x5799ba79,
+    0x77a8e3b9, 0xaf1e5d52, 0x28329e73, 0x726de3f4, 0x6d2861af, 0x71537405, 0x45d913a8, 0x800690ed,
+    0xdd9d836a, 0x41795d32, 0x4f1057b0, 0xaef7f9a6, 0x32d0f252, 0x27302d64, 0x90eb5f2d, 0x9c2e95a5,
+    0x92653994, 0x4e9a8eb2, 0xdd9534a8, 0xe75943de, 0x56f0f801, 0x0b22943c, 0x7c6782d1, 0x75717e54,
+    0x750d6089, 0x476ff662, 0x1bfdd96b, 0xdf2ba358, 0x9810cc4b, 0x40c17401, 0xe50d7ed4, 0x8fd8432f,
+    0xc12d768d, 0x9f895efa, 0x083effe6, 0xb9ce7c9d, 0x7b8d3aef, 0x49cbe335, 0x0e5dcc10, 0x5d5a5f3e,
+    0xa122d328, 0x892d4696, 0x3044464d, 0xe8d91371, 0x9909707f, 0x6b6c70ed, 0x9fd62724, 0x928d8997,
+    0x2f07478c, 0xad46aa6f, 0x875ed221, 0xc738884a, 0xba5056ce, 0x3ef08e5f, 0x22e69ecf, 0x3b820281,
+    0x1a98e26f, 0xed5cb900, 0x3ec00c47, 0x52edc9c4, 0x8c769764, 0x521f2458, 0xcfc0e00f, 0x1644c615,
+    0xa012fee4, 0x39ed2559, 0xc06b2d85, 0x8155e0cc, 0x7243f188, 0x7484bf3f, 0x792fc525, 0x29593fde,
+    0x32f0c20a, 0x1072017d, 0xd5138bc1, 0xb490cc9a, 0xfbc324fc, 0x853ae585, 0x38c564f3, 0x61c1f395,
+    0x08484f71, 0x3be5852d, 0x2c4ed1a0, 0xc00dc4a7, 0x588535c1, 0xc129a832, 0xadf7683f, 0xe06c2ed1,
+    0x48c9390b, 0x9d1082ff, 0x2338d78a, 0x6ec7d9db, 0x67c4aaa1, 0xfec3322f, 0xfa0dd0ad, 0x30815232,
+    0x05ab926a, 0x27fc4402, 0xc7d254e1, 0x20cbdcc2, 0x941d0cd2, 0xed23cb1f, 0xc334b557, 0x204b10f2,
+    0xdd59591a, 0xc3335cbc, 0xcebda857, 0x99de31a1, 0x3658d57f, 0xe9909e9e, 0x4688b7b8, 0x9dec8d5f,
+    0x7a8eb714, 0x3a5916f2, 0x82399fa9, 0x19a5b2bd, 0xe3d956b8, 0xf423543c, 0xa7bfd9d7, 0xf25a36d9,
+    0xe73c28ff, 0x02fdf0c0, 0x2910c64d, 0x8a9d7fb4, 0xc52fd6ad, 0x7b214d5d, 0x923b0e53, 0xab955f4c,
+    0xfc4bde9d, 0x6e3403f0, 0x00056f84, 0xaa233f12, 0x27290aef, 0xb3b81f16, 0xcfc004fa, 0x2a88e897,
+    0x460ec015, 0x30fc1487, 0x82e36ab7, 0xe2fabd1a, 0x867b7423, 0x5773b448, 0xc9072285, 0xa62231cc,
+    0xfe711bae, 0x468a906f, 0x4077e6a2, 0xa41a3a9a, 0x9337afdc, 0xaacfc4b8, 0x03d72a37, 0xc68f7b63,
+    0x4ca6735d, 0xbebf314c, 0x8547b0db, 0xbcc22e59, 0x029f2727, 0x156f85af, 0x752fb9dd, 0x0ddd4cdd,
+    0x5fd21cb1, 0x9249c7c2, 0x1040edf1, 0x8ae6ea2b, 0x66e24ea0, 0x12e1c043, 0xe696a2da, 0xde1c46bf,
+    0xe9490159, 0xc1811b66, 0xeccae323, 0xb710db34, 0x4f9c4faf, 0xacdc72ea, 0x4a8bc126, 0x8f5d6f6c,
+    0xbdf8bb67, 0x34c595fb, 0xaddb3f4a, 0x529ed4da, 0xcb35b075, 0x51ed6fc6, 0xefb93c70, 0x28423d61,
+    0xfea2603c, 0x1cccb304, 0x3a017c74, 0x3ad96b94, 0xa4922a89, 0x052989b1, 0x3ec2ee4c, 0x3ae0123b,
+    0x20f46c70, 0x7bac68a7, 0xa65e43e6, 0xe8d220aa, 0x246f6914, 0xfbdbf82e, 0x0c62218c, 0xd17d7102,
+    0x6ec3ae51, 0x9c6f028c, 0xfa950e0d, 0x4efea26e, 0xb003642e, 0x6ac4e0d6, 0xc8bcb6f7, 0x6d90de3d,
+    0xe6552636, 0x75067134, 0x906b0001, 0x165c0b63, 0xbff12b1e, 0xe13c091c, 0x190060d0, 0xcfcd76d7,
+    0xc93f0075, 0x66416293, 0x62ce4497, 0x96d335cc, 0xda56f74f, 0xfbf0eb28, 0xfa741857, 0x79e05232,
+    0x00000000 }, /* 10**-00000000015608742751579961156907986148965831528742990713324855754295784798126\
+                          85869409882810060153051531745985579913465560703311447723987839644142653145088 */
+  { 0x00000000,
+    0x3fffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537f,
+    0x7d187a62, 0xf99af021, 0x622ae0c5, 0xc1db4154, 0x9c52f429, 0xebca11b7, 0xfa9a35ab, 0x300e9d31,
+    0x00000000,
+    0xce7dd09a, 0x88c43607, 0xfbe7ad41, 0x759d0aee, 0xdea33f27, 0x72cba22b, 0xcd209264, 0xabb4c43a,
+    0xc30b7887, 0x0d603c08, 0xbfee4a06, 0xc7c3b406, 0xf4c25182, 0x91487f7c, 0x9f059ff7, 0x73f391bd,
+    0x24291018, 0xd3bea6a6, 0xe95c86b0, 0x53f5f576, 0xaf5c71b0, 0xc8217f9c, 0x3a283d52, 0xa50730ae,
+    0xdb35f9a4, 0x937c464b, 0x79c5fc84, 0x38e193e9, 0x97bc2554, 0xa4e1b21f, 0x0f1044a6, 0xbd9bf6a9,
+    0x9f6d84d2, 0x782f1c89, 0x82eb6226, 0x33d4a824, 0x43e08a5d, 0x7abeb9f0, 0x152b3e50, 0x2838a160,
+    0x0b2f0d3d, 0x979869ff, 0xac1ef70f, 0xbb6beab0, 0x09f12423, 0xd6493764, 0x91ab40e2, 0xe6614957,
+    0xf3a3fb81, 0x3ee09bd4, 0x91bc1c9d, 0xf3939121, 0x046ac795, 0xbead95dd, 0x1bc6627f, 0x453e36f8,
+    0x3c56972f, 0x85c60110, 0x25322f95, 0x5f84719a, 0x20661a65, 0xeb94beae, 0x40dc901f, 0x1a662601,
+    0x62f86955, 0xd31204a9, 0xa2670186, 0xc9ff4bf7, 0xb01d35bb, 0x4ad96dff, 0xa8d878df, 0x61875c47,
+    0xa592334a, 0x69513a82, 0xe0cd5f42, 0x39de13a3, 0x9cab9866, 0x1a3e4668, 0x1f48f706, 0xbe1f9e35,
+    0xc66d3a0b, 0x8634cfee, 0xd6bfe807, 0xc8b588d5, 0xa63f7c26, 0x5bf07df9, 0x54cb619e, 0x3373c9bb,
+    0x084a8173, 0x2155e6ba, 0x91325795, 0x1fd314b0, 0x69192913, 0xde80f7a6, 0x4de72b58, 0x5998cda2,
+    0xfc3d2cfd, 0x9d0c25b0, 0x42e27386, 0xd0bc9441, 0x8dc17be2, 0x618ca01b, 0xd4330a6f, 0xac38014c,
+    0xcd81036f, 0x2ba2a5de, 0x56b79882, 0xda0b7c8e, 0xcdedb661, 0x7e26e789, 0x9105174e, 0xfff973d8,
+    0x9f60ca66, 0x4267496d, 0xe08851d5, 0x42576457, 0xb372b6ee, 0x4c336339, 0x5d237d01, 0x1896ad9f,
+    0x482c1ca0, 0xb9f3df13, 0xee566b2c, 0xdceb1a25, 0x15ec246f, 0x4a9a9911, 0x68961d6e, 0x2e6667f1,
+    0xf39ab0a5, 0x2d2db3b7, 0xd57a363c, 0x14e992c9, 0x63e05bf6, 0xbd03c673, 0x30c902c9, 0x56c082b4,
+    0x8b9fac03, 0x008725aa, 0x1667d8eb, 0x8b144553, 0x42d79f00, 0x57369995, 0x23d3755d, 0x765f61f0,
+    0xf0169653, 0xb666ffe7, 0x38eb2d62, 0xccf71e52, 0xe312c664, 0xeb0ac88f, 0xe05c8f3c, 0x06f041ae,
+    0x62028cd3, 0x65ba5007, 0x320ce999, 0x76b87022, 0x2aa3fd19, 0x1ddf54da, 0x39bdd75a, 0x52129287,
+    0x225f2bf6, 0x33bf8a72, 0x4faa907f, 0xca625328, 0x20a204b9, 0x83a6f184, 0xc143567a, 0xd35104b6,
+    0x6413815b, 0x2366fd8f, 0x111b9db1, 0xe578359b, 0xb817f7c6, 0x3e5a2b17, 0x025f8ffd, 0x9eb45afe,
+    0x76eb8d5d, 0x2a0dd29d, 0x11a6814f, 0xe6569a2f, 0x2611146c, 0x0e8112a5, 0xf279b349, 0x418a3e55,
+    0x21253d0d, 0x59e4d4f3, 0xb3d87ed2, 0x8c6eb296, 0xdc04c9a8, 0xc430cae4, 0xa8e4a693, 0xe0714d32,
+    0x185a4826, 0x7ed23873, 0x21a6a800, 0x2a5439ab, 0xd6304c43, 0xa4bb22a2, 0x82e1b015, 0xdee60643,
+    0x7fc10c34, 0xe377211e, 0x12f47df7, 0xcc79c5c9, 0x978e6be9, 0xee6ce1c0, 0x02ff28e3, 0x3ac8ed46,
+    0xe106bfae, 0xa3d891ab, 0xbbe86e98, 0xf6d847fa, 0x196ada4d, 0x682c6561, 0xd16105f8, 0x5856c1ed,
+    0x3e20ee39, 0xb04d279a, 0x86bc1ca0, 0xfde70978, 0xe59758a0, 0x8b1f2a55, 0x8fe4b8d0, 0xc663a8f5,
+    0xb813c229, 0xd19f004d, 0xa1ef5deb, 0xb66e6749, 0x31c3f91d, 0x7c1b37d9, 0xd35dc5f5, 0x1c860fc4,
+    0xf0b5f8c0, 0xe2be9bca, 0xe3a7a859, 0x8ea4bc2d, 0x09eb4ce2, 0xcd871258, 0x066fe70e, 0xf232f6b1,
+    0xc648d200, 0xea816dee, 0x916da467, 0x2224485e, 0x6be35ee0, 0x185b565c, 0xcc43c8c0, 0xbffb7ffc,
+    0xfa9b677b, 0xca54a751, 0xb67df03a, 0x7e55067d, 0x36662775, 0x88030a04, 0x92c10778, 0x751a1b42,
+    0x845e7ea9, 0x205dd76f, 0x6c6d68ad, 0x637f1df7, 0xf5a4c97b, 0x280a8371, 0xd3693c70, 0xa4f2170e,
+    0x3b175028, 0x507081a9, 0x4ef5fa59, 0x0f8f235b, 0x60e998bb, 0x78b0cc5a, 0x30a36d92, 0xbe5378b1,
+    0xb9eae6f9, 0x5348137a, 0x6847fd59, 0x4faafcaa, 0xccfacd79, 0x0350dc73, 0x2ab13ca5, 0xe175fd8f,
+    0xb5d3b7ef, 0xc75125b4, 0x3bc5f61e, 0xfb6ddace, 0x2ef65aa0, 0x292981e6, 0xad328146, 0x45d84645,
+    0xd70880ce, 0x4f1decf4, 0x97c57f8c, 0x71e71bc0, 0x8e49dd23, 0x387a401f, 0x0474f97d, 0x9937a073,
+    0x7f18ba62, 0xa2d6217f, 0x5c27387b, 0x10514544, 0xc4e53ba1, 0x4f43eb18, 0x10e5e11c, 0x8c204a55,
+    0x6d2d7d8c, 0x01dc1898, 0x6bef88b3, 0x9c487b09, 0x35979549, 0x170f0d7c, 0x84aca3ad, 0xebd273e7,
+    0x9530c42c, 0x5a26cc2a, 0x2ebe490e, 0x007850f5, 0xe2dab42c, 0x806ac92d, 0xe613e0c1, 0x070228a2,
+    0x8727360c, 0x3567f8c8, 0xb2a7c0d1, 0xbf65289f, 0xed787e83, 0x121b5015, 0x857b103c, 0x0a34cbf1,
+    0x21eeaf59, 0x1b292f62, 0xbaf4d70e, 0x2c1d30cd, 0x97075b27, 0x15db463b, 0xb4e7daa5, 0xb47cd2a7,
+    0x782ddb27, 0xffa63e6a, 0xe630db16, 0xa9c7fd1a, 0x489519ea, 0x0bd75b1d, 0x4453dade, 0x9b211e0e,
+    0xd1963e85, 0x018f822a, 0x55c3b465, 0x14074e57, 0x4e36b047, 0xe2a712d2, 0x712f2cb9, 0x0549ac9a,
+    0x14c180ff, 0x343a41f5, 0x7f72b125, 0xd39c0518, 0x9de90c1b, 0x5e64ec84, 0xdc37bdfb, 0x7b8625d6,
+    0xd210bba3, 0xd12821a3, 0xa3e63256, 0xd35d8515, 0x86f52814, 0x555f6f51, 0x3f86d89a, 0x645935b4,
+    0xcc507c53, 0x51af1a67, 0xa3698392, 0xc801108e, 0xff95665c, 0x82130135, 0xd3738b86, 0x1ba2f65f,
+    0x566fde05, 0xf56e1922, 0x4cac6312, 0xa1e3e8e5, 0xe982c7b1, 0xff1c10dd, 0x27ea6076, 0x4a4cac07,
+    0x6dfbbe95, 0xa3cfbb2a, 0xfface1e3, 0x9e53ee4e, 0x63ed653f, 0x709ed6ac, 0x81954d39, 0x8bd5c57a,
+    0xf3a62d6a, 0x5db5588d, 0x19528d51, 0x41a136be, 0x30d51552, 0xeb4354d6, 0x767dc858, 0x46b870d9,
+    0x8571cee5, 0x0d031434, 0x80b27e06, 0x64dbe70d, 0x8adf36cb, 0xe26b4006, 0x7845a004, 0x038d77fc,
+    0x15ba804c, 0x58467de7, 0x716cd741, 0xc99ba123, 0xc1f5d3ac, 0x3cefdb7b, 0x3446cb74, 0x3f0a0e8b,
+    0xf091c2ff, 0x20313454, 0x9351b8a8, 0x6f84a069, 0xbdb11b3e, 0x9377caca, 0x98c277ca, 0xc8bf1584,
+    0x89e89418, 0x85741f47, 0xa876c5d7, 0x2a414c44, 0x28cf4a25, 0xbd673188, 0x8af100aa, 0x24d41bef,
+    0x1a42c856, 0xe9e32304, 0x3748c881, 0xc1159c10, 0xb1510984, 0x01a05950, 0x9e7ae2c0, 0xb7e389c6,
+    0x0d3cf2e7, 0x9e61bcc1, 0x406f229d, 0xa8b6a9cc, 0x60c3be0a, 0x5979f79a, 0x558d7a80, 0x7d614484,
+    0x27ca0a2e, 0x29e710eb, 0x384aab33, 0x821da023, 0x6293d31c, 0x152cadbd, 0xdef074de, 0xd9158c63,
+    0xc8d9e830, 0xc363cdd8, 0x6cc407a8, 0x5c48ab7a, 0x079c298d, 0x424ad3cf, 0x39391720, 0xe5df027c,
+    0x9cef1e3d, 0x7f0a7519, 0x84484d13, 0xa4c95cf6, 0x549f8c0f, 0xe8f8a123, 0xb8c24136, 0xc72fa2c2,
+    0x4cf1e42c, 0x59341b6d, 0x3a7ed3d8, 0x6f5edbfb, 0x58e4b84b, 0xb0ba883e, 0x73a67c9f, 0x349675ce,
+    0x344210a3, 0x61d31790, 0xc5a75890, 0x6a85a898, 0x6fbee559, 0x5ab7f75e, 0x572b7f04, 0x78130851,
+    0x6dc38eae, 0xecf14623, 0xad583719, 0x0c325ef1, 0x286ef24f, 0xf39bf09d, 0xcb3ffffb, 0xdc9cc536,
+    0xed79c3b7, 0xfb1a43dc, 0x10fbccdd, 0x7f369519, 0xef9f6bcb, 0x4785afef, 0xb6641259, 0x5803e0b8,
+    0x01d24b64, 0x40004e72, 0x5ca41342, 0x4b376c48, 0xa63c9798, 0x4510b511, 0x108875c0, 0x78c08ac9,
+    0x6929de46, 0x70b6a3d9, 0xbd7d2f83, 0xed9dc574, 0x7ec09624, 0x41029966, 0xca925fb7, 0x44108288,
+    0xba931809, 0xe9ee9861, 0xfc10207b, 0xe794bf48, 0xf3a38e4a, 0xce7ae151, 0x2b401c45, 0x0adb929d,
+    0x95eff606, 0xe46c067d, 0x25d5936c, 0x74c73846, 0x20eb6627, 0x401ad89c, 0x8e1a5de8, 0x4eead873,
+    0x65b700a9, 0x2540018e, 0x38be0de4, 0x8dddc39c, 0x9dabbe72, 0xae83867a, 0xf4d4380f, 0x44123c8c,
+    0x561f455a, 0x670abf90, 0xb11eb35f, 0xc1217e65, 0x1e20c9f5, 0x0d4e24b7, 0x0a8b265f, 0xdeade5e0,
+    0x34a79d08, 0xb3bfa2ed, 0xb3e81f23, 0x3f78c3e5, 0xd0ee8b8b, 0x865c34bc, 0x735c9488, 0x50873684,
+    0xbfafec45, 0x5ca69ed4, 0x8fa8c85c, 0x5de4103e, 0x5c994fec, 0x39f6b398, 0x8fa92ab9, 0xf8955194,
+    0x5f2fbe38, 0xc72b4a75, 0x27aabf95, 0x88827c48, 0x332a4d7a, 0x34b0068c, 0x1ff6eca5, 0xf42a3fe1,
+    0xef4b336f, 0x08a9c6dc, 0x6add755b, 0x76ce275d, 0x1d88ec55, 0x7eb56ae7, 0xbee083e1, 0x9b3d614d,
+    0x0863d905, 0xec8a76d5, 0xd1697a19, 0xa3a9094a, 0xfd73b229, 0x66fddb91, 0x7868a0da, 0x47e1b725,
+    0x507ae114, 0xab6de3ff, 0x737628c9, 0x450b6cfe, 0xe40051f5, 0xa2ca5e00, 0x9aff80f3, 0x8e49ac71,
+    0x00401f3f, 0x8eb75388, 0x59e6274c, 0x1ff653af, 0xec80ac87, 0x55f53aa6, 0x524be36c, 0x46a1ef61,
+    0x6c994520, 0x48e0678b, 0xa4d894e1, 0x31b0e4ff, 0x0370c9c3, 0xdb14ee25, 0xd6bf5b0f, 0xfcead446,
+    0x2c5c115a, 0xdbdcdbc0, 0x862e54a7, 0x6365f378, 0xd8e899ef, 0x2b2a44eb, 0x37bad501, 0x684dfbce,
+    0x3730fc11, 0xd6507951, 0x0af49387, 0x39c9f7e3, 0x973deb1a, 0x65f1994d, 0xb146a628, 0x09a9d557,
+    0xff7d2094, 0x6399a08d, 0x95cd1462, 0x8e48160e, 0x45d0605e, 0x727dddd2, 0xbaabfcf2, 0xcf04836d,
+    0xf6fdaf80, 0xec6fae6e, 0x605de094, 0x48577a2b, 0x49cb53c9, 0xce2a4f62, 0x71042258, 0xf54fc7a1,
+    0xe31b5a17, 0xf5108179, 0x6da6e8ea, 0x94998ebb, 0x4cd3977d, 0xa724c9a0, 0xabd6aeb1, 0xd3ad1d43,
+    0x2d743699, 0x647a83b4, 0xe8a736a4, 0xafcd90b7, 0x7fcb73b6, 0xde5f13a0, 0x81756f82, 0xf28c5f14,
+    0x3536f50d, 0x1bff3b9e, 0xb561355b, 0x9f541a08, 0x6c18be48, 0xf9fff7b9, 0xde87cd86, 0x10e88c47,
+    0xd6399205, 0x7548ba87, 0x24576bcd, 0x8252ddae, 0x02d2ada5, 0x230b5dbc, 0x4338aacd, 0xc85de22c,
+    0xfc9182de, 0x12235a05, 0xe78cbbb6, 0x7a4cef79, 0x581e0618, 0x3973905b, 0x8461c810, 0xc5f4a6bd,
+    0xfce109be, 0x68f429a0, 0x75b9e13b, 0xad71851e, 0x7e3753ab, 0x84df6d9a, 0xc58d193a, 0xe17967e7,
+    0xe11ba501, 0x5a1cb073, 0xcc4a33ae, 0x9ed54147, 0xde8cd983, 0x3a050c07, 0x02ea01d0, 0xfa66a858,
+    0xd4f5fa0b, 0x1653e160, 0x63bf592a, 0x274012c7, 0x47b0da70, 0x103ad169, 0xfb1dde1d, 0xd7c482ea,
+    0x0da0577c, 0x387f349d, 0xdd18a96e, 0x5753062a, 0x47c9dd2d, 0xa161b5ea, 0x6fbaedbb, 0x9028fedd,
+    0xdb3a6ebd, 0x9d0935b3, 0xd7d2fea6, 0x28cd3728, 0x9444703a, 0x5b7b83e4, 0x9df8bebf, 0x625d1774,
+    0x47916543, 0x60eac949, 0xd70c687c, 0xca2143d4, 0x22817e4a, 0x740aed12, 0x5cbd0ecf, 0xbe1be888,
+    0xf3e9cd82, 0xf7e00cf5, 0xe382c84b, 0x79bbc1db, 0x5e0bf255, 0x7330f480, 0x7349d695, 0x7d6f55f5,
+    0x70f83360, 0xbd4c8fcb, 0xe7459fd9, 0x74a66c8f, 0xb0981336, 0x61ae45a6, 0x0995b18b, 0xc8fc5bdd,
+    0x897e7083, 0xa00ab2dd, 0x97ff9585, 0x73f9981c, 0x054c9db3, 0x366f0354, 0xf57201cb, 0xc3e3f8fc,
+    0x77bc1a57, 0x0835d2fc, 0x84418fbb, 0x7fedbbf4, 0x08cf9a28, 0xa6a0db9b, 0x7cff8d42, 0x920b6433,
+    0xd21eeba1, 0x77649be9, 0xfdd15b3c, 0x98c5b4a1, 0x6020bed8, 0xe6e7349c, 0xd349692c, 0x965d56d4,
+    0xc14e1b15, 0xd58f36e7, 0x3a834902, 0x8cf8767c, 0x47f77f13, 0x1d80ab84, 0xc4d94f26, 0xee049de4,
+    0xc7c971b6, 0x74f05a9b, 0xadb64975, 0xebb54784, 0xfcb3f18a, 0xe19f2ce4, 0x86800e62, 0xcce721fe,
+    0x9102edc0, 0xcef9b06c, 0x95fd2230, 0xebd43402, 0x54b04408, 0xede803e9, 0x28eb73ea, 0x3e83d991,
+    0x74536467, 0xd1cc5212, 0xadeadfaa, 0x446f9aba, 0xda10851f, 0xe80ecfed, 0x5289c1ba, 0xee455e7e,
+    0x0ba78eb2, 0xa7087e02, 0xa59868a0, 0x3102824c, 0x4eae0216, 0x31eb6848, 0xd2426d9b, 0x513527f1,
+    0x4a3bed16, 0xdc11a606, 0xd73f5f45, 0x0f6ae4e5, 0xa06b2e34, 0x50286696, 0x190f1b03, 0xe3ee4003,
+    0xa0cb72b4, 0xafd27ab5, 0x8c0415b5, 0x156baa35, 0x9e097f97, 0x1ee27bb1, 0x61c636d7, 0x169561a9,
+    0x41cccd67, 0x63f2778d, 0x00c0914f, 0x6facbaa8, 0xcf61db20, 0x3fba3aa8, 0x663be3d2, 0xdfac141b,
+    0xb636a212, 0x378ab324, 0x01fe3f9d, 0x5b3ed0d4, 0x25c16ac9, 0x6f071133, 0x61bd5061, 0x0882b797,
+    0x8e177876, 0x41a9cd4b, 0x71314f13, 0x1559d183, 0xd3432de2, 0x321bd931, 0x0142f228, 0xe951ea05,
+    0xdcfa198c, 0x47db4751, 0xdf1ef5c0, 0xdf120cc0, 0x3c266a8c, 0x68159dfd, 0x10362238, 0x2c8e9bd3,
+    0x6c08e356, 0x10dd2a06, 0x754fba5e, 0x7b2cdc30, 0xa9c58026, 0x9b435b4f, 0xaafc6212, 0x6408bf37,
+    0x181d2f60, 0x63a98514, 0x95e03c3a, 0xcf81e574, 0x94f0ae81, 0x2d08ebc0, 0x34cd849f, 0xbe9f76cd,
+    0xb7176968, 0xea78b3d7, 0xcc9e6a7e, 0x98947cc2, 0xe729fc8d, 0xd3af0128, 0xad4d054f, 0x9cfa6356,
+    0xec97a385, 0xab760d88, 0x73bf4141, 0x2e1da4e0, 0x8c2267f3, 0x8803f309, 0xe6287e9f, 0x3024f1d6,
+    0x6d87441b, 0x7ad4b419, 0x259159a0, 0x18f375fa, 0x4218e38b, 0x4e8de95a, 0x746c4c52, 0x82c7fdd4,
+    0x23d11d2c, 0x8898daa2, 0x29effd90, 0x674634d6, 0xa5b94f5d, 0x02c90c5a, 0x0eb89596, 0x99961fd8,
+    0xa22669bf, 0x9f11589d, 0xd85d4d54, 0xd10d1a21, 0xcaf02890, 0x25e7dfc7, 0xdddf1850, 0xa922d4fa,
+    0x0fc6007a, 0x62cde74f, 0x3510407d, 0x41d4547a, 0x38080ffc, 0x650af78c, 0xcd9afb32, 0x8c36c713,
+    0x2b686e34, 0x8ca49fbd, 0x5df736a4, 0x94116a7e, 0x8233dda6, 0x3a71c5b0, 0x1314fbb7, 0x58102b62,
+    0xdaf9ba02, 0x1aafd2d9, 0x2ec3b0c5, 0xd515262f, 0x328fc28c, 0x196a0c83, 0x5db5e41b, 0xed228fa3,
+    0x4ef565f2, 0x41101c16, 0x2ae302fb, 0x5f21cefc, 0xed4fac0a, 0xa39e0df4, 0xa1eca76f, 0xfe5248ce,
+    0x7bd3267a, 0x0060bbc2, 0xa9ffcdfa, 0xcdf351ee, 0xf1bc3167, 0xe3f4648a, 0xab5d9622, 0x58f16b74,
+    0x669f16f2, 0xb3374775, 0x32a012c1, 0xc5e131cf, 0xc5fb373b, 0xb0f3dd87, 0x0cc21315, 0x0a4e139e,
+    0x6e3cc759, 0x7d06295b, 0xb3446413, 0xb8b2bca5, 0x40f1e504, 0xce8ee0dc, 0x7d2e158a, 0xeb8a5a92,
+    0x10c27377, 0x247048d2, 0xea080b89, 0x4d171f50, 0xc470c84a, 0xcfe24f6e, 0x865344a4, 0x35e75142,
+    0x915583a7, 0x70e577e6, 0xa1a2d950, 0x0f7e6f72, 0xdbc346a2, 0xe995034c, 0x35b70632, 0x62b3dd11,
+    0x55938f5a, 0xd70f6265, 0x6e07c010, 0xcb0017aa, 0x84e6bda8, 0x900c02de, 0x480face7, 0xf2123ab3,
+    0x9a456c5c, 0xc46e32e0, 0x2cc0fe09, 0x0d96ee1e, 0x7d8232bd, 0xd77d784b, 0xae18ecf7, 0xecaf3fe8,
+    0x00000000 }, /* 10**-00000000007804371375789980578453993074482915764371495356662427877147892399063\
+                          42934704941405030076525765872992789956732780351655723861993919822071326572544 */
+  { 0x00000000,
+    0x3fffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958, 0xb724a9bf,
+    0xbe8c3d31, 0x7ccd7810, 0xb1157062, 0xe0eda0aa, 0x4e297a14, 0xf5e508db, 0xfd4d1ad5, 0x98074e98,
+    0x00000000,
+    0xa2936afd, 0xcd95358e, 0xf4788388, 0x27a2e711, 0x16b9f8b7, 0x860363a4, 0x6384859d, 0x5884e106,
+    0x719b460e, 0xdbe1bd71, 0x1e7c2598, 0xc12e8498, 0x113183ef, 0xda11963f, 0xf97a2335, 0x2bc9cda2,
+    0x03afe61e, 0x805afe68, 0xaea04859, 0x5eb226db, 0xdb59a270, 0xdc887190, 0xbc7d3668, 0x90a4fdeb,
+    0x8f2de0e2, 0x10613b50, 0x87d973b8, 0xe13e43d3, 0xf55fc928, 0xde422e46, 0xbada9ea3, 0xc60ca47d,
+    0x6a461a33, 0xa6a148a8, 0x0fcd5f88, 0x1fce5613, 0x124e11ed, 0x1b60faf2, 0xc1ee9d14, 0x434a6a92,
+    0x9715c7c2, 0xbe43f9f5, 0xe272fa5f, 0x9f1c410b, 0xf473ccd0, 0xf8bb9f65, 0x97a81ceb, 0x25313d15,
+    0x8540cbb5, 0xf484c657, 0x125e4ea3, 0x222257ee, 0xc3ea99dc, 0x3e7120b0, 0xf91918a9, 0x5172eebc,
+    0xf1034ee3, 0x3c64e1bd, 0x78c4fc71, 0xc54f540c, 0xfa651d52, 0xe2835e52, 0xa88ad82a, 0xfedebee9,
+    0xbfaf512d, 0xc9303b09, 0x305c43b9, 0x13203827, 0x7ddce107, 0x942cf535, 0x834fe5ad, 0x68d34723,
+    0x7562fbd5, 0x886f3921, 0xc5dcf0ad, 0x41f111ee, 0xc3d38766, 0x9715b2a2, 0xff3ee482, 0x48274904,
+    0x6ce1fb54, 0x74a83854, 0xd817d0a5, 0xa6382908, 0xaa1426a6, 0x7d6ea7f1, 0xea6ecb7c, 0x9ae999b1,
+    0xbf70db09, 0xae9d8d68, 0x14eb45f8, 0x726c5497, 0xa01c4719, 0x18d12a5b, 0x643b3905, 0x5dd849f3,
+    0xaaf7db34, 0xc13042bf, 0x0c47855c, 0xf420f767, 0x401655bc, 0x4a901679, 0x43654c83, 0x9fee7e33,
+    0xad5ac281, 0xdf12b47a, 0x4ef36e38, 0x14d79764, 0x32670649, 0xb82cf8dd, 0xd8727ee7, 0x841a6291,
+    0xc9e190b9, 0xd4ad9b98, 0x40585749, 0xa819f4b5, 0x91f6486d, 0x11c3c086, 0xb549bfed, 0x12e837cd,
+    0x5ebdf3e7, 0x460bea0e, 0xc679f0a1, 0x4d77a9a6, 0x83a4f568, 0x8ffbd0a9, 0x649a0fb6, 0xa204d10d,
+    0xcdb50442, 0xc244ce49, 0x56500a84, 0x14507577, 0x6645a4d9, 0xe30bdede, 0x9e8e9cb1, 0x6dfe7bc5,
+    0x210ef3ab, 0x9e57fe05, 0x93628ad4, 0x629f7256, 0x7da64b2f, 0x9b061da8, 0xb850ea76, 0xec4a2f40,
+    0x8c604465, 0x30db702f, 0x20d99634, 0xdba77923, 0x94906676, 0x92245b0c, 0xe3bb7e9f, 0xf224f69f,
+    0x8242d5d0, 0x75474508, 0x661125a3, 0xb9bef5d7, 0x4dbdf5d8, 0x5e1aa3f9, 0x9423eb22, 0x54659bdb,
+    0x28d132d0, 0xdfbb3060, 0x5370d3f2, 0xbf63bd92, 0x29f30fd5, 0x8fbcabcd, 0x7b4d2c35, 0xbf283f91,
+    0xdc9fad1b, 0xce662bd3, 0x3b36ef98, 0x78cca610, 0x6b10120d, 0xf73cd2e2, 0x54501dd6, 0xa81eeb02,
+    0xe136a890, 0xf85c29f5, 0x250fc3fb, 0xe0398d42, 0x4d011bf9, 0xff5897fb, 0x0b13058d, 0x11dd8369,
+    0xdeb927dc, 0x1f67de60, 0x211cf2be, 0xc84a4d6d, 0xa13e69f4, 0xca3646e0, 0xa4597802, 0xcf10bbc2,
+    0xc58624e0, 0x5d19087a, 0xa8a79467, 0xcdd1f37f, 0xf4895133, 0x3d32368e, 0x536652e2, 0xdbf28521,
+    0x4fd9826b, 0x95376258, 0x14ff20f8, 0xd13609d5, 0xaf90b746, 0xb154240b, 0x4120a29b, 0x9ae2012f,
+    0x64bae7ef, 0x52085ee8, 0x334ed96c, 0xebeef9b5, 0xa1213be4, 0x24102033, 0x56fa4f2d, 0x8657140a,
+    0x8a3185bd, 0x3c4ab87f, 0x414f29d0, 0xd0de0d2a, 0xcf65981e, 0xe58c9055, 0x2f1ada86, 0xf0a4dcba,
+    0xc6a3b33e, 0xfb39ad7f, 0xf3dc8765, 0x9a2959d1, 0xff82a1fe, 0x585e53f9, 0x59121100, 0x9d278e57,
+    0x4533b4e5, 0x19665690, 0xd95089f6, 0x6c615056, 0x745c6241, 0x28949fc7, 0xce4f2b09, 0xe78072fe,
+    0xbbab1370, 0x239135fb, 0x60e99433, 0x603cdf85, 0x94655f09, 0xc0642e7b, 0xab614167, 0xe1afd2e9,
+    0x1cf9f276, 0x110b7fcc, 0xfd033b15, 0x7462c488, 0x53399afb, 0x15f976b2, 0x7324ff57, 0x94aa8d15,
+    0xa3fc8fe6, 0x391fa180, 0x55ddd5ce, 0x7d5b60a3, 0x1c40ef75, 0xdd12af36, 0x6fd48a5d, 0xe4aa95f3,
+    0x13c0c9a3, 0x406ebdac, 0x45915c3f, 0x9a51f00c, 0x6bd4eb54, 0xf78950f0, 0xbb1bbe33, 0x5f28e1a0,
+    0x78c22854, 0xe8caf408, 0x7d76c40a, 0xe8ebe83a, 0x02263f04, 0xd597d940, 0xe2241d23, 0x5d03e8ea,
+    0xe0f7625c, 0x08b5cbb6, 0xb23a4a46, 0x0e857774, 0x993b1899, 0x8191070a, 0x9b24a7c2, 0xe99dfcd9,
+    0x1b0d1533, 0x3389ac96, 0x5719598b, 0x33bdae89, 0x91452b0b, 0x209718eb, 0xa44ac999, 0xde3e6ac3,
+    0x16b1568e, 0xef0415cb, 0x3aaff982, 0xa5abaf20, 0x1b1300e4, 0xb6e2424c, 0xbfc66c32, 0xb2c96d21,
+    0x0f83c13f, 0xdd55fbab, 0x22535347, 0xd8294c45, 0xcfd6c75f, 0x983656c8, 0xe0fdcf5a, 0x12407725,
+    0xdc6391e2, 0x51774296, 0xde66c541, 0xf096f903, 0x8871e777, 0x50f0cfdb, 0x6e9e8b23, 0x63e7ac98,
+    0x9d365808, 0x004949a7, 0x9f146f31, 0x94b1d0e4, 0x410cbe83, 0xfdd27263, 0x9e745930, 0xf1efc649,
+    0xe4b91339, 0x72d38bed, 0xdee17674, 0x8632de67, 0x6172fbaf, 0x440fc5eb, 0x1add6c16, 0x6abdaf5e,
+    0x1f8b1559, 0x6fea8c6a, 0x9f7a9f8b, 0x9a45fb3d, 0x4b79159f, 0x8532f1a0, 0x100c1e5b, 0x5dd7bb17,
+    0xa44a42e6, 0xb96965ab, 0x89fc5c76, 0x3b7b3e48, 0x055f431e, 0x988204d2, 0x3703c24c, 0xa71b4cb5,
+    0x7a6ca835, 0xd47b2d82, 0x8737a0e4, 0x8c188510, 0xc9130121, 0x2cf2ba78, 0xd98d83d7, 0xe2df4343,
+    0x7525427c, 0x5d6ea26a, 0xd7f41951, 0x8cc01783, 0x919ca7ad, 0xd2df7a09, 0x68e9ef90, 0xbc410ea0,
+    0xc0be2142, 0x0609a73e, 0xed28027f, 0xa666ed9d, 0x8dccc62e, 0x257c1ef3, 0x100f4ab3, 0xb2aeb94f,
+    0x527077a6, 0x3ee0bc07, 0x0c3de0ac, 0x829b19e4, 0xedbc7a15, 0xc34b2ff5, 0xf60ad0f1, 0xa6f4ac74,
+    0x967a44b2, 0x461d05a7, 0x9a14a0d4, 0x63214900, 0xa53a5022, 0x6827e8f1, 0x3d9a62d2, 0x52d7f5fa,
+    0xf51b33a9, 0x8dcda07c, 0x19346373, 0xf1403569, 0x69df5569, 0xd0b58594, 0x57b07670, 0xfad722c5,
+    0x2d796032, 0x80b06ac5, 0x8fc91b89, 0x14d2c8c4, 0x99f9480d, 0xc9b2050b, 0x44d36baf, 0x7b001464,
+    0x74a0f646, 0x0114ac93, 0x835d258c, 0x4c352b59, 0x65a83738, 0x0739e22d, 0xc82f67bb, 0x73c89a55,
+    0x0ca0bf71, 0x279fd1e3, 0x88b0521d, 0x7c489184, 0x6a09a0c2, 0xaf8cf061, 0x6e165134, 0xed3c2131,
+    0x734a0252, 0xa8991935, 0x1557c9bc, 0x9cccfc95, 0xa30ab8a4, 0xfeb36a95, 0xa792a70b, 0x92169f01,
+    0x8c4f94cc, 0x0b4565c4, 0xb3a0a292, 0xbdbd4233, 0x3abb4dda, 0x0ab1fb2c, 0x87833949, 0x5205e173,
+    0x69751359, 0xbf72b814, 0x7ca28597, 0x66081d34, 0x4cd09766, 0x3fd36624, 0x381eb2c5, 0x872e2032,
+    0xd1018998, 0xfe2e7462, 0xcc38063a, 0x6c35981a, 0x339efba4, 0x4bd16bcf, 0x595130a7, 0xe99a189b,
+    0xb50f6569, 0x0136d7ee, 0xb395a299, 0xbb0e0433, 0x28538194, 0x89ba6a24, 0xef4a5f06, 0xba96c0ba,
+    0x479b5690, 0x0becd115, 0x88b897dd, 0xfc08c6f6, 0xcccb4ec2, 0x59585c86, 0xd13e04a7, 0x6e53cc20,
+    0x532763da, 0x0a6dff5f, 0x0b217e31, 0x2c28a2ba, 0xfdd3628a, 0xf1eb5fd2, 0xae7c3ba3, 0x3af31f63,
+    0xfd62d6ae, 0x0b2af634, 0x64aa69f6, 0x3701a48d, 0x05dcef13, 0xcf425f3e, 0x43abc802, 0x7cca509a,
+    0xcfd78e65, 0xf7abf377, 0xaff7d9b1, 0xc5683238, 0x72189d99, 0xd3452fe6, 0xa6fa3f74, 0x69345956,
+    0x3bdca33e, 0x8958b527, 0xa261accf, 0x06db1607, 0x4cd5db2d, 0xc0ac3139, 0x9c12ec29, 0x5238888a,
+    0x7f23f1e6, 0xe0af71c1, 0x6dd31f13, 0xd9cd2a35, 0xdd20a67c, 0x2ea84402, 0x265c9afd, 0x1203db37,
+    0x2f7712af, 0x7e2128e9, 0x25452ce7, 0xa45ebc62, 0x678c7c2f, 0xe7d7c282, 0xa76baaf7, 0x27087a82,
+    0xbe19e94d, 0x4e33f529, 0x18d2c40d, 0x41c5d8a3, 0x25120bce, 0x069da257, 0x54006a97, 0x517bef5c,
+    0xf4ce6502, 0x7e643414, 0xf0b1be20, 0x4d5246ba, 0x856eea96, 0x30cefe96, 0x9762ba4c, 0x44c9e0f1,
+    0x48fbb06e, 0x3ec364db, 0x0787fd23, 0xef02557b, 0xa1ee7efa, 0x0179beef, 0xa66a8e51, 0xde7caff3,
+    0x4fccfe02, 0x36353064, 0x002c973b, 0xb559b752, 0x76ce37f0, 0x1d810f72, 0x95570cdc, 0x0238ee84,
+    0xfd9c79f8, 0xf841384c, 0x75eb1610, 0x1b50bf3a, 0x1006329f, 0x61b341ae, 0xf5485e51, 0xce315705,
+    0x014ed1ac, 0x0cb528c0, 0x7b520021, 0xf1228fd1, 0x74201bfd, 0x7a673352, 0xea9bb87a, 0x9276cbde,
+    0x6f9939c3, 0x7334c4e2, 0x9796e92b, 0xf4397edb, 0x0f281c5a, 0x081bbefa, 0xf17c4ff0, 0x2b79e29f,
+    0xa5c63d94, 0x8ef02f43, 0xafcd8576, 0x3e4860a2, 0x629c269a, 0xde78bbd8, 0x4ba44133, 0x784786a5,
+    0x879b4995, 0xcf2f28a5, 0xb1ea8ba7, 0x0ecb4cd8, 0xb101b769, 0x99ddf80b, 0x3df8d587, 0x5906d2f1,
+    0x48414b45, 0x4517aa99, 0x8df14546, 0x7ec17943, 0x3f13a9a9, 0x83aae1f3, 0x972a8be1, 0xfa4ad0ed,
+    0xe100d702, 0x33f92a56, 0xc4540fdf, 0x0f57a849, 0x0421f503, 0xd8a2ab7d, 0x15473fc6, 0xf9eb0d73,
+    0x52c7ee4a, 0x1e494b95, 0x848ab1f5, 0x5f8a052c, 0x4342f09e, 0x99dab4f6, 0x3ebe6747, 0xcdd267f8,
+    0x80ec45b5, 0x845def67, 0x8cf5ba8d, 0xadfcc50c, 0x531ab5b1, 0x68d1b8f6, 0x72bf4b88, 0x5e9a7798,
+    0x190f91cd, 0xe095e3f4, 0x7201389d, 0x4e25222e, 0x61f72d62, 0xe59814ae, 0x4064c2c6, 0x180c633e,
+    0x47147157, 0x48764d65, 0x2a91417c, 0x86c1e892, 0xebbed3f7, 0xaf7d9b57, 0x860e8c69, 0xd2ce199c,
+    0x01b1085e, 0x06854d5e, 0x513065d0, 0xac6b3ed5, 0x373f2c05, 0x74ec7025, 0x9e3a7a4a, 0x4a3ebb81,
+    0x087f7ac0, 0xe41d3dff, 0x88cc1985, 0x6ffe8c5a, 0x5aea3dc7, 0xaad4c6fa, 0x5bd7817b, 0xe3ee6b13,
+    0x9c1b2e02, 0xfb03fa8a, 0xbc38176f, 0xf5ea6008, 0xee10341b, 0x5f44dc7b, 0x2f7e8402, 0x3c56f908,
+    0x893716ec, 0xe0bd519d, 0x08c99c3d, 0xe90ac114, 0x7510ccbf, 0x64607867, 0x7b412e5c, 0xac0e8356,
+    0x42255725, 0xcc0a4cdd, 0x8636a817, 0x8e3044b8, 0x110a1dd9, 0xeea533af, 0x8484a8ef, 0x282221ae,
+    0x13efcc56, 0xc54ed7ab, 0x536b391b, 0x33c498c8, 0x83e7fa46, 0xc25ed2f2, 0x4732ced6, 0x58acb9a6,
+    0xa6f21d2a, 0x931e60b8, 0xbeaeb058, 0x607d799a, 0x7741f7be, 0xa331c9bb, 0x6d3cdd69, 0x377b5f63,
+    0x384a8e5d, 0xc47bf019, 0x3c68df12, 0x20ebe31c, 0x23a45b89, 0x43573c85, 0x9fbe83c6, 0xce6239d9,
+    0x27de2702, 0xdc03c65d, 0x22b2ca7a, 0x4a56933f, 0xb33c9bf6, 0x93abf2fe, 0x0eeeea1f, 0xf514c63d,
+    0xd997a880, 0x3d6c150f, 0x4e540153, 0xf0fd430c, 0x3e8ed01a, 0xaec6486d, 0x737f3b08, 0x7db09c24,
+    0x4a3174dc, 0x7cfc4922, 0x72f95c07, 0x4afc0611, 0x4dc2f342, 0x703f6fd2, 0xb985a35b, 0x143e5e1e,
+    0x5aed6a44, 0x986481c2, 0x6c284dff, 0x98461911, 0x11ed7c28, 0xad60a204, 0x0c2ffa5e, 0x10c222b7,
+    0xb91a6413, 0x30ad2639, 0x40afe038, 0x39918e21, 0xe9e72684, 0x17b67e17, 0xf38a3254, 0x76febb5d,
+    0x4bc68b8f, 0x3cff3b82, 0x525d9dcd, 0x4ca82ba6, 0xf7a8cf37, 0x9d36210f, 0xb8508058, 0x50240143,
+    0xd6e3afd8, 0xb84d5c7f, 0xa625447d, 0xbab26fd8, 0xa3c6946c, 0xcf3cb969, 0xb68ef3bb, 0x8ab780ec,
+    0xf70f29e7, 0xb1bbb48b, 0x15bf7699, 0x51153193, 0x8fb66719, 0xd733c330, 0x4ea9abd0, 0xafb90885,
+    0x70add728, 0x8ddcd0f3, 0xe84907fe, 0xcdb12266, 0x1a099706, 0x417a4f3a, 0xe1da44f8, 0xa656ad2c,
+    0xe17da487, 0xd8c779c1, 0xe4007fb2, 0x63c5e9b4, 0xb3e4fba5, 0xfe7b13e0, 0x3884ec2a, 0xf2af1b3b,
+    0xc37f38bb, 0xa3ed5d40, 0x91246f2a, 0x3a14f36f, 0x9738c2e9, 0x164b6c29, 0xfe830379, 0x8dc37c5e,
+    0x7ae33330, 0x840229ca, 0x6c4cf00b, 0x736d2154, 0xff843c5d, 0x16a98d65, 0x3d32454c, 0x72d876d7,
+    0xbfa1c746, 0xe0492fec, 0xc03e6374, 0x47e55cac, 0xae4cfc80, 0x1628e8fe, 0x82eed82c, 0x132ff698,
+    0x8e337b10, 0xd9d83b77, 0xefd22dc8, 0xc2cae48e, 0x2bb935f1, 0xad434e2c, 0x2b2c3964, 0x79830e72,
+    0x418e51eb, 0xaacfdb38, 0x9abe8669, 0x06a3b51e, 0x60c8f246, 0xb17a841f, 0xb45f57d8, 0x951b844e,
+    0xff5a13c9, 0xaba3d6af, 0x794370f4, 0xc8cc5fa2, 0x671e53d2, 0x5b122943, 0xd42bd59b, 0x98cbf082,
+    0xa56a59e7, 0xdc7478d1, 0x7806a4b7, 0xeac975c6, 0xbef621f0, 0xd1877b2a, 0x1874a30c, 0x27288c46,
+    0xd413d1bc, 0xf1430607, 0xf8d8c3da, 0xe1400d3f, 0x1f61c268, 0xa6af2a3c, 0x1db8a949, 0x1ece6d05,
+    0x9beb43c1, 0x8e602bcb, 0xe130be27, 0x41823be4, 0x0dcb4f93, 0x5def86e9, 0xaa1770a0, 0x8207c9af,
+    0x593c6909, 0xbc023638, 0x9eae5f93, 0xaba868a4, 0x8dce1e1b, 0x11f061b2, 0xdc071655, 0xb557479c,
+    0x708f70f2, 0xb9253fe6, 0x930b66c7, 0xf2f01390, 0x5ddd44b1, 0xb3fb4ef3, 0x4fb0bbb5, 0x54f2d994,
+    0xd84e0b1b, 0x93e0da44, 0x2eed9244, 0xb2e0230e, 0x526985ed, 0x07570ea5, 0x404da8d4, 0x82c8f973,
+    0xf4c71393, 0xea66147a, 0x0a794aee, 0xb4650b25, 0x1509b565, 0x03f2d9ca, 0x5b3c3bc4, 0xee306cd1,
+    0x0028664a, 0x765fc53e, 0x711d1e83, 0x26bad2fa, 0x828b0c37, 0xd598d56b, 0xc76cf7a0, 0xe1e1bc08,
+    0xb42107c2, 0xdc98aed1, 0xd40bbad4, 0x5406c35e, 0x26906eec, 0x4ba9f826, 0x64cebc5d, 0xc561eaf2,
+    0x964890b0, 0xa1dd7da2, 0x755b2d1d, 0x59350653, 0x4a9ff8eb, 0xc9f43128, 0xbba50f39, 0x59940da0,
+    0x0aadc26c, 0xc8e0bcf7, 0xf44dc0fe, 0x7df97fed, 0x7a3a80bf, 0x00d8a60f, 0xdfd654e8, 0x5296868f,
+    0x7482e7f0, 0xe48ec9ab, 0x86f02337, 0x391ff969, 0xfa1881aa, 0x1d28c4bb, 0x597ab1df, 0x8adc30f0,
+    0x65962394, 0x67fc2280, 0xced96b8e, 0x58c7a742, 0xb2d9f81c, 0xf0ac7bd7, 0xc3c430d9, 0x86f623f1,
+    0x05b9d464, 0x7f2f462d, 0x7a1f7b70, 0xf5ba87a1, 0xd343b308, 0xf2ee66be, 0xae15c595, 0xe4ee8bc9,
+    0x09181b05, 0xd4b14745, 0xde5bacbc, 0x9104817d, 0x49e86d56, 0x64084dd7, 0x95b7142e, 0xd45bdabd,
+    0x6886254e, 0x234c4204, 0xc0e77fdb, 0x91389229, 0xa9465a02, 0xb38f62c5, 0x15a37b2d, 0x31f42b4c,
+    0xb8cf36c3, 0x8c228706, 0xd31710e0, 0x72b010d6, 0x7273599d, 0x10eae5c5, 0x7621c05b, 0x882a808a,
+    0xc5c19e1d, 0x6ab87e55, 0x1f72cad0, 0xee4ee326, 0x485e6944, 0xb6237569, 0x0873a5bc, 0x169b5e6a,
+    0x67d3699c, 0x6626b1b4, 0xe499bde0, 0x56d8bdb9, 0xe014235c, 0x18e79098, 0x7208394f, 0xbaad1661,
+    0x9b20ae88, 0xdef5f899, 0xd5032047, 0xa5670cd2, 0x22136064, 0x011146f1, 0x5aa58fca, 0xcd894ac9,
+    0x1bffe017, 0xa940778b, 0x8ea2e73d, 0x09d9921b, 0x70556204, 0x21eb9470, 0x863984f9, 0x76c5c487,
+    0x7897dd55, 0x7b066566, 0x8c3d0c82, 0xb2912f70, 0x3012bb87, 0x623afb88, 0xe53d64b3, 0xe0a00fe4,
+    0x00000000 }, /* 10**-00000000003902185687894990289226996537241457882185747678331213938573946199531\
+                          71467352470702515038262882936496394978366390175827861930996959911035663286272 */
+  { 0x00000000,
+    0x3fffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df,
+    0xdf461e98, 0xbe66bc08, 0x588ab831, 0x7076d055, 0x2714bd0a, 0x7af2846d, 0xfea68d6a, 0xcc03a74b,
+    0x00000000,
+    0xcc022500, 0xc165000c, 0x0a254a19, 0xbe20c9f6, 0x18db0b58, 0xa26d2c0c, 0x8760c732, 0xff0e2f88,
+    0xde5c3031, 0xdcf675f7, 0xa8f9ed2f, 0x47db952d, 0xa39d1e04, 0x90ef8c90, 0x05361d67, 0xa035c2f4,
+    0x226a8edf, 0x32da9aa2, 0x02703491, 0x394c1148, 0xabc1a2dc, 0x885fc863, 0x80d6b69b, 0x97b78a20,
+    0xef11b13a, 0x7d9da3b4, 0xd6313588, 0x67678df6, 0x99a18d39, 0x653cc53e, 0xf3dc7276, 0xc5f2faab,
+    0x98f32c4a, 0xc2231b49, 0x52e3dbd6, 0x387649b5, 0xd6a1c253, 0x9ee12702, 0x333cbb17, 0x2a248fb3,
+    0xe096d845, 0xdc35073d, 0x6a46cdbc, 0x8c69e8f4, 0x7f3886e0, 0xb04257f2, 0xdf665ae3, 0x7ed02cdc,
+    0x22db1b36, 0x650c743c, 0x4e6109c1, 0xfa150559, 0x6f3ffc62, 0x8d64c416, 0x51033e37, 0xad73820c,
+    0x2861d36c, 0x112974a9, 0xc35633d0, 0xc43c5d46, 0x53934147, 0x05f56bf9, 0x1ce2df26, 0x819b3f1a,
+    0x7b0a089a, 0x3a66d146, 0xd679f94b, 0x3e0ac496, 0x7ef35f44, 0x04e21de0, 0x138d994e, 0x691d5afb,
+    0x23255bd8, 0xdd17a596, 0xd8b81dcf, 0x28e227da, 0xd7b0a7dd, 0x346fdf9c, 0x9d5574ad, 0x44611ad3,
+    0x62e31e14, 0x735009af, 0x552ef509, 0x4b53a693, 0x2b12e980, 0x9cb545c6, 0x4cc6e4a9, 0x4752b2a0,
+    0x97b78974, 0xe929b6ef, 0xd22f8a5f, 0x12d9c003, 0x3ef2bc7b, 0xf1164618, 0x0b31ac0d, 0xce69d41d,
+    0x5d283d66, 0x927353b6, 0x42816763, 0x69635200, 0x8a88a329, 0xeae3684c, 0xf3f7f6d9, 0x1a80e775,
+    0xb4a2330b, 0xfef5b0bf, 0x32068e65, 0xbc0f7d75, 0x16d30442, 0x5217e63d, 0xc5bf68ad, 0x2e66dd2f,
+    0xc418346c, 0xf625cc2a, 0xa90ad4bc, 0x8dfe2df5, 0x625cd756, 0xdcf1dac3, 0xd4cd256b, 0x0aa9fdb7,
+    0xd0cc5596, 0xadf618cc, 0x45f3b447, 0xc3d79845, 0x91b9266d, 0xf6415871, 0x86db50ba, 0x952ef3c0,
+    0x3cd4cfb0, 0xeb20ae9c, 0xd6fa13b4, 0x03fb82ea, 0x70606c71, 0x7c05d4fb, 0xb81c9c5b, 0x63a601d0,
+    0xc7283b03, 0x4a7485a1, 0x947025ec, 0xc6da0298, 0xa226edf8, 0xc067d694, 0xee666cdc, 0xa1e9f071,
+    0xe61d74ce, 0xa8d62d28, 0x11676ac6, 0x072bf18b, 0x32d889c0, 0x6bc3d6b2, 0xb8e43e32, 0x47460f7c,
+    0xa70941be, 0xd4010b2d, 0x2b93a834, 0xff3d7889, 0xbd8a9709, 0x16e53355, 0xc6e1eab2, 0xd657f627,
+    0x0d8ebf66, 0x611af84f, 0x9bb93d79, 0x7144bd1e, 0x56cb02f3, 0xd1ab2060, 0xaefcd8b2, 0x1183c58c,
+    0xba0f3f53, 0x13dda1b0, 0x783187bc, 0x1f537a2d, 0x4855e84c, 0x53f65baf, 0x976b97eb, 0x29c5743e,
+    0xc9fb873a, 0xcb9de17c, 0x2f2e4cba, 0xc5a7afcb, 0xd6aaf4e1, 0x8c1818a3, 0x606b7015, 0xab1bd63f,
+    0x514cc793, 0x2aa11f0f, 0xae20737e, 0xa956e200, 0x6d957d95, 0xd55e3d76, 0xfbe512ad, 0x57faae99,
+    0x145a0eb6, 0xb431de97, 0x1adfc37b, 0xfc086bd3, 0xbc57f07b, 0x097ec70d, 0xe88cec63, 0x2460ec99,
+    0xcc8d6320, 0x4d6de62c, 0xace2b41a, 0xd5758601, 0x1da9a2dd, 0xb29e37bf, 0x8cd6b364, 0x0d1fd19a,
+    0xe5f3fe14, 0xe834c242, 0xd33be463, 0x099aa4c5, 0x3b7083a9, 0x3a671960, 0xec425332, 0xbbf710cd,
+    0x9d128545, 0xc9bfe815, 0x7b0b18ea, 0x51ed9716, 0xaa1aa13c, 0x2310435d, 0x30f9964e, 0xf436361f,
+    0xdbb23e57, 0xd845f15d, 0x5163581a, 0x707baabd, 0xe05c3ed2, 0xb20cf040, 0xd942369b, 0xdcbf0c4e,
+    0xeaf9cb2b, 0x6cc3b9fa, 0xf58d21bb, 0x994cae15, 0x2e5cf1fc, 0x23404238, 0x8055d7c2, 0x04736b60,
+    0x7eda9ea8, 0xfe410606, 0x2415a3ae, 0x2149553b, 0xd216662c, 0x47a85329, 0x70ee0e8d, 0xba9f0508,
+    0x36d4b84c, 0xe931c399, 0xc8bd3c6a, 0x081417fd, 0x682669db, 0xf3487ba0, 0xcc394586, 0x2c8161fa,
+    0x65776214, 0xc3d89152, 0x46de58e5, 0xab694a2d, 0xf7d2bcae, 0x8ff891f0, 0xbad59f12, 0x1c3f0366,
+    0xfa483a76, 0x0b14c78f, 0x2b87ecf4, 0x9ecbc97d, 0xf8a5a9d6, 0x340235bb, 0xe4bf347f, 0x74385358,
+    0x55c39e20, 0x9ccfa333, 0x761c6f4c, 0xf3aafda4, 0x5dd16b14, 0x3a4f340e, 0x84990ca3, 0x188cb999,
+    0x3d75a309, 0xde8f9d60, 0x7e6d5a97, 0x3cbfa1ae, 0x30e7262a, 0xfedc97e7, 0x6fa28298, 0x5a51d4a3,
+    0xaa7e70e3, 0x70840e71, 0xf0a3e559, 0x1aed423b, 0x65c805de, 0xb1fd0305, 0x37e1e0a9, 0x3c1179a8,
+    0xb7f6463d, 0x31d5529a, 0x66ddcfd9, 0x21c71c9f, 0x4b28efc6, 0xeba259ac, 0x056c80aa, 0x612b2cba,
+    0x4443f4e0, 0xf0a36ec1, 0x5a57e1b1, 0x802b2c48, 0xc8b1045a, 0x50b48d1f, 0x7c13b6e7, 0x982412c8,
+    0x57548796, 0xb508155f, 0xda3793df, 0x972d4f80, 0x13746807, 0x1a6f1218, 0x1e1872b8, 0x34ce861c,
+    0xeb96060b, 0xc0688eef, 0x2a7e2b03, 0x00fd0f69, 0x0ae62e18, 0x2a10b9f9, 0x7c084119, 0x9891feb5,
+    0x3ffa3442, 0x4c32d5a7, 0xd22848ce, 0x862c089c, 0x7ef5d312, 0xc6bf0227, 0xf9847562, 0x902762d1,
+    0x3a8210d0, 0x15a5d39e, 0x6f169fdc, 0x76863d90, 0x06f81cec, 0x3b10942c, 0xf0b8d9ef, 0xa3375dcf,
+    0xcd5d8139, 0x125f304f, 0x19f20c1f, 0x70f18c74, 0x5a147957, 0xd205b7ba, 0x585f94ea, 0x88177bbe,
+    0x5ce0f960, 0xba906bfb, 0x43880d62, 0x53cea85c, 0x6c09c5f6, 0xf43c32b2, 0x00323e14, 0xf5d5c0cb,
+    0xb89e119d, 0x8e210c52, 0x00659cf5, 0xdf033c45, 0xf9b66716, 0xbcb7074a, 0x8e587e61, 0x7e60061e,
+    0x28844b72, 0x99ee5c63, 0xa6083e6e, 0x63b1c5d9, 0xa303b3a1, 0x843e09ba, 0x726154ab, 0x03e2befc,
+    0x28eb3589, 0x36079df8, 0x136f361a, 0x01b0de40, 0x3f23927e, 0x70ef987b, 0x078f0616, 0xcd23c764,
+    0x93cebe7b, 0x00d6c6e6, 0x9a497157, 0x4a4d77d9, 0x6a406c46, 0x5577070a, 0x2dcc386b, 0xb5b530e6,
+    0x7b00bad1, 0xb484d8bd, 0x8dfc799e, 0x9d0adb52, 0xc969d062, 0xafe6a92a, 0xcab1d064, 0x2733c3db,
+    0x286c91e3, 0x3761db8d, 0xbbc04b42, 0x2376cc6c, 0x6531b825, 0xac29e48c, 0xb6c06866, 0xd6316aea,
+    0x820edcd8, 0xca0f2742, 0x9c67e592, 0x91f67894, 0xd413b7a6, 0x0e4ae904, 0xf9df2981, 0x67488c2c,
+    0x3ff97ff1, 0xec223a44, 0xd07b4d97, 0x485e9cbc, 0xe8080978, 0xd951ea1d, 0x08fd3d30, 0x287beb83,
+    0xbaf289b9, 0x526497e3, 0xfbe4e388, 0x82e1b4c0, 0xb01008e0, 0xad1f6446, 0x99ee0518, 0x5c3ef8a5,
+    0xc11d762d, 0x5292a202, 0xf061c246, 0x5482b5cc, 0x748bb2d2, 0xc5be0e80, 0x6a0951d3, 0x5b3edbb8,
+    0xee9a1fbc, 0x0362ee8f, 0x9b6e9100, 0xb1e3cc5d, 0x21a4dccf, 0xc90d1735, 0xea634a77, 0x8b58dd1a,
+    0x1ab7bf1b, 0x4dc5a892, 0xb67532cd, 0x5087a043, 0x2733ec09, 0xb1ab333b, 0x888e51b1, 0x6d906610,
+    0x169ba0ec, 0xf32bfedb, 0x04767371, 0x40c73318, 0xfd596c09, 0x62076f84, 0x7d8e6577, 0xb05a214c,
+    0x259edcf7, 0xff941be8, 0x54915a0a, 0x65122ed3, 0xb3bab834, 0x1eefc6a8, 0xbbff964b, 0xe9d7ff65,
+    0x8466944c, 0x1e9aab4a, 0x64b7ed6e, 0xe2d778dc, 0xa716dc56, 0xa9b8c12d, 0x93a30632, 0x31ce006a,
+    0x5f12ca3f, 0x4c004e05, 0x82ab066e, 0x4b103079, 0x9810788b, 0x14c9c4e7, 0x6c125c2c, 0x52f19dc9,
+    0x8be546ad, 0x77a3381e, 0x79c179a8, 0xd7d7303b, 0xa2e246ac, 0xe9eab72b, 0x328f514e, 0x0721d14a,
+    0x486ed25f, 0x004763d0, 0x7b44ff95, 0x7d1c281a, 0x47d227b3, 0xd5cf1078, 0x2318a85d, 0xd384e881,
+    0xc1e0fc4e, 0x2269775e, 0x191dc95b, 0x6b981fff, 0x2cd562ef, 0x02eb2087, 0x1a5dd890, 0xafd0b896,
+    0xa5cdfcd4, 0x54e168be, 0xa5e8c88b, 0x5f948e3d, 0xed30501f, 0x4d400ee3, 0x070a24c4, 0xadfb8599,
+    0xdd2351a4, 0xaf640983, 0x92eb77ec, 0xb7bb17f3, 0x3d9beb93, 0xc957c431, 0xdd377cc4, 0x7b2da126,
+    0x8adcc9e3, 0x4d3cd82c, 0x8e4f97e2, 0xb227743d, 0xf66bfbb1, 0xbedb7d8a, 0xcd3b2918, 0x0825923a,
+    0x64c9eb74, 0xf3b680dd, 0x5ccb3980, 0xff68ad9b, 0x8b0bcab0, 0x7ff58ee1, 0xe9eaa726, 0x485a0ff8,
+    0xf83d1596, 0x6089f38e, 0xff84d74d, 0xea7890d0, 0xfe390ac1, 0x88e8120d, 0x459173bb, 0x97b55e96,
+    0x6daea75c, 0x3e62d3c2, 0xfcb59044, 0x69254eb7, 0xb2eeb724, 0xe62be473, 0xbbdc08d0, 0x8437310a,
+    0xa0fa9bbc, 0x8d61612b, 0x4a64411b, 0x144415a3, 0x893de48e, 0xbe22b3bf, 0x401316f7, 0xff499caa,
+    0x7b33404f, 0xe7e3050d, 0x85b60e63, 0x1cadecb8, 0x6197349b, 0x3893ca4e, 0x3ce18108, 0xc4bdef0f,
+    0x557c90e7, 0xd36dcb7f, 0x19584eb1, 0x41323395, 0xb97d9186, 0x3d1ae85c, 0xf10b25e4, 0xddcfdf53,
+    0xe7c7efc8, 0xb466e17f, 0xd7b6dc4d, 0x2c967408, 0x808a3702, 0x18b4b56f, 0x59428a76, 0x9fc809ef,
+    0xa22eb8d6, 0x132bb308, 0x21bd0ff8, 0xf64bd1c4, 0x485fb140, 0xafb60ee0, 0xf3b15fa7, 0x4c4da92b,
+    0x2c3a59c4, 0xfeb07ad7, 0xaf9e3fb0, 0xf9af2ace, 0xed7c628a, 0x5026eb54, 0x5e6870bd, 0xca420822,
+    0xe5d10c94, 0xe65853fa, 0x4a1f3e88, 0xd3568040, 0xcd0be687, 0xf0388b23, 0xe07e726a, 0xcab7dd1a,
+    0xfa797e15, 0xb531fafb, 0xbab16e5b, 0x256b1f05, 0x6c694bcf, 0xe2f62597, 0x98b9d3e3, 0xf0851eb0,
+    0xf5e78105, 0x239461f8, 0x183af528, 0x40c049c2, 0x33f9364e, 0x4c0b3094, 0x124b8c5e, 0x10ec282d,
+    0x01eb79f9, 0x237b4b55, 0x158648c6, 0xaf625ff8, 0xb76eada9, 0x63b8f79c, 0x199ea96f, 0x29f5595e,
+    0xc401574f, 0xa408eb62, 0xaa57c73f, 0x48a69c90, 0xb1100413, 0x5b6de8a6, 0x61894915, 0x6fd0fcfc,
+    0xaccd9a3d, 0xba218050, 0xa3e0314e, 0x8f248d6a, 0x7fa4dd96, 0x15075044, 0x27210b33, 0x0b7a4896,
+    0xb461c8b6, 0x14a2501e, 0x5fdb4113, 0xa36de7e4, 0xae4a8886, 0xfcdaf272, 0x38d57199, 0xfc734c0e,
+    0x8582e4ec, 0xf7160e04, 0x7628e8b2, 0xc3917232, 0x0e7d1285, 0xff122435, 0xc44f7d8a, 0x18697b03,
+    0xc7d7a0df, 0x32a9fd89, 0xab7f7e8f, 0xe6dffec2, 0x7823151f, 0x14e7cd36, 0xad767d33, 0x1654777c,
+    0xa04d1db4, 0x62a9ab0f, 0xbbed1dfb, 0xd4059a83, 0x29bd9a7f, 0x5495851e, 0x4f9c7fda, 0xf6965880,
+    0x6ee15b69, 0x0c4fde31, 0x0cfe7d6b, 0x54293c66, 0x0f714e50, 0x6512d0b2, 0xae894bb4, 0xc4aa64ec,
+    0x41635851, 0x472ab3a4, 0x517f1222, 0x45b76974, 0x0354e117, 0xe81984d2, 0x1da3d240, 0x9b6ffcd3,
+    0xf18004de, 0xed6c5154, 0xe85d8779, 0xa94c18ad, 0x571ba41c, 0xca37b5d0, 0x5319fdb6, 0x363d0d76,
+    0x1576d59e, 0xee459716, 0x163aa646, 0xdad4c806, 0x3c867fbb, 0x54505958, 0x9c45dada, 0x85cdb360,
+    0x2e9d373a, 0x3c190a9c, 0x1f29fcdb, 0xa99d7be0, 0x0ab0e455, 0x9ac1d248, 0xb4bd6c32, 0x111adbe8,
+    0xbb6ccc45, 0x59dc81df, 0xeef2a16c, 0xf3f58eaf, 0xa887932a, 0xa8d6d347, 0x37b010d8, 0x586c48df,
+    0xd0667299, 0x509c52e1, 0xf21409a5, 0x51e549c3, 0x275cc83f, 0xe95c2b08, 0x17e31012, 0x6ac9fa5e,
+    0x6305cdbe, 0x9bfe8540, 0x4efccabf, 0x6c86ee7a, 0x5712833c, 0xbd3eec18, 0x5e807f8d, 0x52ed6554,
+    0x05a410a3, 0x5e5386ed, 0x283ee974, 0xa603370f, 0x67f6db02, 0x646263f8, 0xf27d5b19, 0xba490a85,
+    0x6b28be7a, 0xb1325438, 0x885a80dc, 0x09a590c4, 0xc0ddbbcc, 0x5c423e96, 0x5a0aeed4, 0x629a36cf,
+    0x878d0a8a, 0xda62021c, 0xe75874e1, 0xaa5c61a3, 0x90a7223d, 0x6c95f189, 0x87837c52, 0xe699dca9,
+    0x98f64369, 0x5049da99, 0x42b237b6, 0x27051e8a, 0x794b41ec, 0x8ac8b210, 0x659d24e3, 0x35538dff,
+    0x2112b1ca, 0x6fd20b2e, 0x6d66719b, 0x0667c169, 0xa986b583, 0x949a2fea, 0xb4c86988, 0xdc2e619d,
+    0x07eb4f34, 0xbc2547ad, 0x1ac27e60, 0xb3a4c543, 0xe63ee3b5, 0xfa29a91a, 0x12173a52, 0x31edd39b,
+    0xf0cf1f2d, 0xcc781ee8, 0xde7a5e38, 0xa16526cc, 0xd22551fe, 0xc819ddb7, 0xc6e4e130, 0x185747fe,
+    0x27150c5e, 0xf7fbaf63, 0x28aa17d1, 0x2cd10189, 0x5f91d134, 0x906411c9, 0x209b1a85, 0x2762c18b,
+    0xc9767447, 0x3567fa1e, 0xd033078b, 0x87e2bdc9, 0xbbde3911, 0xfcd23567, 0x87c556ef, 0xf201f14e,
+    0xbd392a59, 0x1d5c22ce, 0xe15c915a, 0xb4178f51, 0x70a0d1bb, 0xa19fa266, 0x673885a0, 0x15165ab6,
+    0x1bc47ba9, 0x7b254273, 0xb96eae7e, 0x056c9943, 0x68db8f60, 0xc9d1eec8, 0x86c507d0, 0x86290242,
+    0x8f8dff50, 0x55dd1284, 0x72e2c792, 0x029155ab, 0xec232a5e, 0xb1574fc5, 0x3b65d1a0, 0xf54eaa75,
+    0x038a9d5a, 0x3b7c8349, 0x0546fc51, 0x50be63e5, 0x72e2055b, 0xd011e558, 0x25a6dd07, 0xc15aca66,
+    0xd48a2b5c, 0x2872d90c, 0x8073609f, 0x89f19724, 0xb8174515, 0xf8345739, 0x156f8d81, 0x812049f5,
+    0x194f492d, 0xeda5505a, 0xa0d0585f, 0x8f275bda, 0x6759f3d0, 0x72c9dd2a, 0x8768405a, 0x657830a2,
+    0xf6b3f89f, 0x9d46cba1, 0xed962634, 0x54451f33, 0xc96075fe, 0x4e5928ce, 0x2669c6b4, 0x614b06a1,
+    0xba0c1e2f, 0x5b6760f4, 0x0317e8e3, 0x5007f2ef, 0x61918c40, 0x6f5203ef, 0xab48fcc3, 0x1e30ffd2,
+    0x7b22fe8c, 0xe5805f6f, 0x6b58bd43, 0x44b26ab0, 0x3ead739a, 0x6abf9198, 0x344e6acc, 0x099a2b7b,
+    0x9b7b92cf, 0xe4a36120, 0xa8241deb, 0x9dc4629f, 0xfd796b2e, 0x889d49df, 0x0e71173c, 0xc3c48d32,
+    0x2461dc4e, 0x5868300e, 0x9afd86b9, 0xc71cf8df, 0xb3a45eb4, 0x66fcc779, 0x51887826, 0x69b4ede2,
+    0x8946b387, 0xe5bb4e7d, 0x959440ac, 0x03832b17, 0x483881fa, 0x569f7cfb, 0x5b7e0f11, 0xcabb7bb7,
+    0x1aa50d9f, 0x12a18579, 0x25587dc9, 0xc196972f, 0x44782c29, 0x9088b060, 0xb627e12b, 0xfc840c20,
+    0x46d4fd5f, 0x1e6c5e2b, 0xfa3ab53d, 0x9b3acf14, 0x9749d9fd, 0xd0c7876e, 0x183c3e2f, 0xbbe4b661,
+    0xf9e08f33, 0x859d9d79, 0xf8f14ba4, 0x1fcca7e0, 0xfc8e1a75, 0x58bceda3, 0xfea917b0, 0xfa37c006,
+    0x1c1d54da, 0x1d8ca36b, 0x1ce06192, 0xb9498f86, 0xe1b30d43, 0x47eaa012, 0x17e2e29c, 0x791df834,
+    0xdb28a500, 0x28f70d56, 0x6cab511c, 0x3a758e73, 0xd4af1c37, 0x9f4c2363, 0x982d7db0, 0x25f5efc9,
+    0x6ac78d68, 0x1abb8b9f, 0x4f44a608, 0x4b7803f1, 0xec40deeb, 0x41594e26, 0x18d0bf84, 0xe0ec9a78,
+    0x225f7c98, 0x0062f6cb, 0xe264c0ba, 0xd3cb496c, 0x84f78e08, 0x3558524e, 0x8d4a316b, 0xdd651847,
+    0xbff4fd99, 0xdab6db59, 0x7c87df06, 0x36a1e2f2, 0x2621d048, 0xd74a2534, 0xc891bf55, 0x14b934ca,
+    0x9a55c431, 0x0c8d40dd, 0x3456d49b, 0x45471561, 0x45e3310c, 0x58d570ef, 0x318a96eb, 0x94d22c66,
+    0x387be651, 0x431b9ce4, 0xbb318f7f, 0xd31b054a, 0x4cb1363e, 0x4b3c0ff6, 0xe082b4a2, 0x25909401,
+    0x6d4ad54b, 0x4f3b7b9e, 0x6630c43a, 0x1fe24c1e, 0x61155eba, 0x9757774c, 0x49175a32, 0xe010dae0,
+    0x00000000 }, /* 10**-00000000001951092843947495144613498268620728941092873839165606969286973099765\
+                          85733676235351257519131441468248197489183195087913930965498479955517831643136 */
+  { 0x00000000,
+    0x3fffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f,
+    0xefa30f4c, 0x5f335e04, 0x2c455c18, 0xb83b682a, 0x938a5e85, 0x3d794236, 0xff5346b5, 0x6601d3a5,
+    0x00000000,
+    0xa1986bec, 0xf322db7b, 0x47914921, 0x09938d34, 0x4fec4257, 0x6be4a0c9, 0xff055194, 0x850debb7,
+    0x0ab22cef, 0x0b3acbe1, 0x1065ed1b, 0xf7f3def3, 0x20e7ef22, 0x03a47832, 0xdbd1f5c7, 0xa258f956,
+    0xf48bb366, 0x7955dbac, 0x76dbb414, 0xcff1286b, 0x27b3b092, 0x064b6c64, 0xfa7584a0, 0x45552fd7,
+    0x00a22be9, 0x1e25c5ef, 0x38e02139, 0xc9c5f2c4, 0x5d4203e7, 0xcd2db138, 0xd2ac4ed6, 0x891efaee,
+    0xc0954a06, 0x5d5b42de, 0xc653cef6, 0x299f9258, 0x294f94b1, 0xcedf518c, 0x6df96359, 0xc4c01144,
+    0xe3bfae83, 0xe9ba7347, 0x801e6664, 0x16503fb7, 0xcb1bc441, 0x89d3697f, 0x64f3c5d7, 0xb3b0baa2,
+    0xd94f1cf2, 0x232f5bb4, 0x2500d611, 0xe49edb4e, 0xdb77d3b6, 0xbceb7cce, 0xc65c051a, 0x3ba741b7,
+    0x88ba4c8b, 0x97279076, 0x18cf7368, 0x64dd56d1, 0xfc68d292, 0xeffa4aa3, 0xe4145b0e, 0xc3f650f0,
+    0x33eb9d76, 0x4b9995f5, 0xef748e64, 0x28ecf448, 0x7660d08d, 0x9316e723, 0x54fe304b, 0xc2af1de6,
+    0x0979efc6, 0xdfcb78a2, 0xb2bef919, 0x191514b4, 0x1d546efb, 0x335bb4b2, 0x370e7f33, 0x66643bac,
+    0x66a4adb0, 0x20bad2dc, 0x881e6eeb, 0x354e33b7, 0x3e67aac4, 0x983a0198, 0x80693e82, 0x9272ec19,
+    0x9c3f0a0d, 0x8d58d30c, 0x0169c424, 0xc2be5826, 0x6deab40c, 0x54f02531, 0x2ee97881, 0x10554aff,
+    0xe4c0a211, 0x2612efa8, 0x54c6b266, 0x95124aef, 0xf7f99532, 0xc61eac4d, 0xb3e2bc24, 0x30ca86e0,
+    0x3df845c7, 0x04fd9480, 0x87e69ce2, 0x8c301689, 0x5a081ad0, 0xee4b0c89, 0xc487b887, 0x38dbd0bd,
+    0x65d1e97c, 0x35d11876, 0xb7d263c6, 0x2b003dd5, 0x7c842ac7, 0xc7f1e3a9, 0xcfe4c42e, 0xa1dec559,
+    0xecc054b1, 0x0f4b0cc0, 0x4d2f0027, 0xf6215185, 0xe7102055, 0x3cc40a61, 0xcfc07c25, 0xa891ba6c,
+    0x66ed52d6, 0x12b30e57, 0x304047ae, 0x8e6119c2, 0xd3358f32, 0x5bd01266, 0x33ab2dbf, 0x650be2b7,
+    0x88cf9421, 0xec19db32, 0x959ee607, 0xed85dc1f, 0xf9c554ac, 0x89ff01cf, 0xf1b22be0, 0x065ccf7a,
+    0x852afed2, 0xc14c9f1d, 0xb44235a4, 0x400d3d33, 0xfefcc4d6, 0x8a10bfdb, 0x2b66164e, 0x97f7c0e2,
+    0xf34b316c, 0x3f3a9836, 0x856d6900, 0xf04b351a, 0x2d4cf8f8, 0xbb09ca7d, 0x162b5667, 0x6b957af3,
+    0x506b73e2, 0xf57b37d0, 0xf93c1533, 0x5d8c43ae, 0xc705d2c1, 0x14968886, 0x2b8f3057, 0x6c1b93f4,
+    0xb486d9b4, 0x145f9343, 0x99e1f9b4, 0x6138d4ba, 0xf532d890, 0x6824f4f9, 0x152d4000, 0xf6287a41,
+    0xcd6d9c2b, 0x42fd7ba2, 0x03cb1838, 0xff5f452d, 0x3e22d38b, 0x4d41f410, 0x9b76a1e0, 0xb910757b,
+    0xd1c0753a, 0xcc8d4ac0, 0xa5c05374, 0x435e17fd, 0x378afd1c, 0xe886f80b, 0x56167f8d, 0xb5f5b813,
+    0x20ea2a44, 0x252f1ed4, 0xb1a5a5ee, 0x14b8e3a8, 0x6d44dc5d, 0xba0f5520, 0x0802a90a, 0xaf3811db,
+    0x28df3b5e, 0x026df039, 0x852e3d13, 0x57206e2d, 0xbb2f0555, 0xfaa98eb7, 0xb2e368e6, 0xd4c34446,
+    0x2c777ac6, 0x930b9d07, 0xa25a390e, 0xd9b46859, 0x56a66c08, 0x2671015f, 0x08871abc, 0x5290c11c,
+    0xf50285f1, 0x319f4dd5, 0xd4f387cb, 0xe9c559cb, 0x207d8d87, 0x9d769227, 0x039fa990, 0xc197acf8,
+    0x85197d43, 0x8c10c78f, 0x2b3328d2, 0x0b4984ae, 0x28396c2d, 0xb1d81087, 0xef802bf1, 0x1ce3ebac,
+    0x3d290dd7, 0x3391105a, 0x8e65f295, 0xe012dc87, 0x5b40b93a, 0xb6195eb8, 0x44f47284, 0xce827a40,
+    0x95f5bdd5, 0x72d575b9, 0xd01f4476, 0x224c094b, 0xd6c4d450, 0xbad0d559, 0x6016b605, 0xe7da97d3,
+    0x4c2cbeb6, 0xd8cac31d, 0x3e914d14, 0x85d26739, 0xbfc7b9d0, 0xdda37021, 0xf449e54c, 0xe453aa4a,
+    0xba73b763, 0x3e1e660f, 0x43bd157f, 0x66e229f2, 0x0b65f39d, 0x9d930c77, 0x6b6f3517, 0xbbb2527e,
+    0x849e0774, 0x3d27f3e3, 0xc4c822d5, 0x1c1002fc, 0x0d7304d2, 0x82a187a2, 0xec6ae59f, 0xa88e46f5,
+    0x3bec12f3, 0xcc65ee1f, 0x37d50a0f, 0x4045b7fb, 0x968a52f3, 0x6bff10a2, 0x8d54f13b, 0xf2eb89e2,
+    0xbb9cfc3a, 0xd7892d44, 0x21b97407, 0xe38f2ff3, 0x25489733, 0x4ce3433b, 0xfbdb8f26, 0x8f14cb4e,
+    0xee0179ba, 0xbc851a4b, 0x48404791, 0x54ae7a2b, 0x31ef8c71, 0x77f85998, 0xb32f634b, 0x70133be2,
+    0xc05dc6fb, 0x122f6fe6, 0x40db94ad, 0x3767f5c5, 0x60733505, 0x51892463, 0x838506b6, 0x2f0fa224,
+    0x45de7f3f, 0x4ff26687, 0x7337421f, 0x57e7b881, 0x96b2213e, 0x341a1ad6, 0x2ee34512, 0x8fb700f4,
+    0x89f27dfd, 0x65bef495, 0xd17fd642, 0xdd7449a7, 0x545a038b, 0x4ff4c31f, 0xaf262509, 0x55303091,
+    0x6c8a0d5a, 0xbaf429d8, 0xa93c6455, 0xac832f27, 0x0073175b, 0xcebfc343, 0xf445e6e8, 0x8125da4f,
+    0x02709b6a, 0x592d340c, 0x6155432a, 0x1f0af907, 0x4889339b, 0xda8c6daf, 0x55563023, 0xad8ec3a1,
+    0x1f7d37c4, 0x69e4f6d8, 0x77767d02, 0xd84b4bb6, 0xaa4efd14, 0xf0db7cf3, 0x363a073a, 0x16f308f2,
+    0x25e58cfa, 0x614cf4d3, 0xad2014f4, 0xf5582677, 0xeae16f97, 0x3bef6bdf, 0x1d9357cc, 0x46a4f9c8,
+    0xef188531, 0x50f77247, 0x64cd0189, 0xbc57ac54, 0x9c57431f, 0xfb922482, 0x5c585f0d, 0x6227183d,
+    0x0ab1ecc4, 0x773f7e86, 0xd971a8f2, 0xe03ba725, 0xa5d33ad4, 0xb4f86c76, 0xc61282a9, 0x570d11e3,
+    0x5aa96d2d, 0x2472e2e1, 0x7fcd4915, 0x5bede7e9, 0xcf49e8c5, 0x47c0ea14, 0x36429b92, 0xf95deb85,
+    0x94e02d6b, 0x55c310e2, 0x77eee263, 0x913d3d06, 0xf9d8ea9c, 0xb71d26a6, 0x5be60178, 0x9acb92e1,
+    0x4abcacb0, 0x5321fca6, 0x8650b1d0, 0x8f8d2887, 0x5b9dcff0, 0x805f8119, 0x195049eb, 0xcb560dd8,
+    0x7c8cbc5c, 0x0ad8339a, 0x42ec4810, 0xb93c8168, 0x7ce34598, 0xaad61a06, 0x38565e04, 0xd6860112,
+    0xe321cee7, 0x7c4dc451, 0xe03537e2, 0x5049dd52, 0xbe7f0958, 0xaf562baa, 0x8d8ef045, 0x3a75d272,
+    0xb7f12626, 0xd16c2883, 0x369cd7ae, 0x9d6a20c2, 0x99b443cf, 0xc342a3df, 0x8bc9f95c, 0x8f0e7039,
+    0x76763fa5, 0x0e25bd88, 0xdf239b66, 0x687a969a, 0xd2a0a804, 0x81f08791, 0xf510340c, 0x8f86ac20,
+    0x26842fc9, 0xba397fec, 0x8c843cef, 0x44304f3a, 0x6753fe56, 0x25375688, 0x21f699aa, 0x064183f7,
+    0xa5cab3f8, 0x6dcc0f19, 0xc5a4bb96, 0x766e57ed, 0x0de159c1, 0x97c799f7, 0x5e88b0df, 0x2b459d2d,
+    0x4ec49b56, 0x168937da, 0x67319f6e, 0xa1f3b214, 0xc0d246df, 0xfa2d1f7e, 0xb69ed568, 0xd621b4c7,
+    0xf52361fd, 0x9a6de02a, 0xa9da0c2f, 0x5bb8246f, 0x83b841ed, 0x7c954bf6, 0xa11e8030, 0x99949dab,
+    0xf8664b00, 0x00b2c943, 0xbde867b6, 0xbd4d20da, 0xed581802, 0xc4908bf6, 0x8e98c7a7, 0x4f7facbf,
+    0xe840a1f1, 0xc9a201df, 0xf7d4462d, 0x9550f72d, 0x08b1ccac, 0xd1f26369, 0x09a12b9e, 0x36f2b818,
+    0x7bcadb08, 0x7993782a, 0x4365458c, 0x2bf8d272, 0xc16329bd, 0x2d37e113, 0x04875cb1, 0xba201f47,
+    0x034c2140, 0x2710ba13, 0x87d1cec9, 0x988e6054, 0x3b6f9fbc, 0x88c1b709, 0x4bdba8d7, 0x805fcce9,
+    0x76eb3d7f, 0x0d1b498d, 0x062fa88f, 0xe7be6f94, 0x9f482e23, 0x7aba51c3, 0x2860f120, 0x20e60d50,
+    0x07f9e21e, 0x2d24969a, 0xf4e4b050, 0x73cd73f2, 0xb9a43272, 0xc5236de0, 0x12a5de74, 0x9d196c09,
+    0xb9513065, 0xfe7c6f71, 0xbc9f0fd9, 0x7fec5e4a, 0x348f1781, 0xa92410ef, 0x3c878720, 0x61633634,
+    0x95bb7260, 0x30cb00c0, 0xd8fd1598, 0xa23a9e82, 0xfd504b39, 0x4955ab59, 0x38b24a8a, 0x5f70c233,
+    0xb3226886, 0xcf1fe3cf, 0xa1f17547, 0x39ddd34a, 0xd81147b8, 0xebf15611, 0x60c98d49, 0xd2edf835,
+    0x3d9f5758, 0x5883e59d, 0x2141ad91, 0x3b64be35, 0x32d4da19, 0x52ef296d, 0x47e72810, 0x25086b6e,
+    0x16edeb26, 0x1e866da3, 0x6a841b00, 0xeb2d1f3c, 0x49e93c0c, 0xb7344cfd, 0x8182f964, 0xb617639a,
+    0x184b4b49, 0xa2207724, 0x18e1c9c0, 0xd9b6dec4, 0x4dab6548, 0x9c12ae7b, 0xd7ec419a, 0xf872bab3,
+    0x411282ea, 0xdc2848f3, 0xd05eb871, 0x134638bb, 0x4b8935fe, 0x7e09fd9b, 0x88e46929, 0xbe65cc28,
+    0x30c4a13f, 0x163213eb, 0x484ac2e8, 0x5089eadf, 0xde5ad80e, 0x0d34916a, 0x81d165ea, 0x4e3f20ed,
+    0x0d4c2b29, 0x047142cb, 0x251ece0a, 0xd387d7ec, 0x64f6d6b5, 0x108f2cc2, 0xa949f4e9, 0xa8d217be,
+    0x19457aa1, 0x99514c19, 0x7a15c210, 0x83c126b8, 0xf72cd151, 0xf9806cdd, 0xb84f8388, 0xa260e11c,
+    0xee5575fc, 0x66444506, 0x19ed4acc, 0x4ea6dfdc, 0x9d844fe6, 0xb9a7e306, 0x6ed13f62, 0xb8ba3e1c,
+    0x6b7f8129, 0x5329e0ba, 0x76dbf49b, 0xea7d0f54, 0x2da19924, 0x8d7edd11, 0xf41acdeb, 0x0edf717f,
+    0xf98bc522, 0x69722ec2, 0x8c0471a4, 0x891fb533, 0x0732e9a0, 0xc1a22f80, 0xe7efb01c, 0xfb80bb84,
+    0x3f1189bd, 0x9048302b, 0x41eadff2, 0x6ebe545c, 0x068af4b4, 0xc96755a6, 0xd07a06bf, 0x82ffa1f0,
+    0x0c6c590a, 0x5765ea9c, 0xdbcc538f, 0x64f6109a, 0x3e87037a, 0x1a37aa90, 0x6a1fbe9c, 0x8c95b06a,
+    0xcc3d93d4, 0x7f476f9e, 0x962a713f, 0x0f953bb1, 0x8bcace63, 0x26dacee4, 0x4bf0a971, 0xb24a189c,
+    0x260ccee8, 0x039990b2, 0xff413bf0, 0x5964bfe7, 0x75ffab4f, 0xe618386a, 0xc19d62e9, 0x2e7f3bfa,
+    0xd1b6f30b, 0x9cdcd902, 0x8c27dcae, 0xeeb7ac3b, 0x4eac8c2f, 0x74762138, 0x30df209f, 0x62cbb834,
+    0x50dbd81a, 0x6470b4ff, 0xc29e2f30, 0xf2611cc4, 0xbe5f890a, 0x99860956, 0x820a18d3, 0xe8ad9a91,
+    0x71b0bc5f, 0xe5734a33, 0x365c0fbe, 0x8ab7c3ea, 0x89cdd5c8, 0x26704417, 0xc5bc23a0, 0x794bc9a1,
+    0xccf5e8f5, 0x04057897, 0xeae189ad, 0x6bce290a, 0xc4de2fdf, 0xe49937dd, 0x996f3112, 0xdfb5e90a,
+    0xf99646a3, 0x2276fd9a, 0x75c6c865, 0xfbc6bfc8, 0x2126ebc9, 0x0e50a791, 0xff668b9b, 0xfd24e018,
+    0xf8100f11, 0x92554527, 0x2b030d75, 0xcc22ab24, 0x04a49182, 0x39048684, 0x1da8355e, 0xffb61dfd,
+    0xe076381c, 0xd4cb38ab, 0x22d6d11f, 0x9658140c, 0x8e6328a7, 0x5c65d625, 0x21ca8c7f, 0xa20cba86,
+    0xb044ab8c, 0xb22fd0bd, 0x38b088c2, 0x2135ed81, 0x949d0b36, 0x8ffada6e, 0xddccecd1, 0xf5051766,
+    0x2fb7cf57, 0xaf6c2147, 0x5386bad6, 0xf0567bae, 0x632c5015, 0x9890a97a, 0x8a887f3d, 0xddec8d5b,
+    0x62535399, 0xc10245cc, 0x64df9ee9, 0x5ffd8448, 0x7fdbb18f, 0xdacbb938, 0xea7b3843, 0xd0c47cba,
+    0xbfb3aff0, 0x349b5af3, 0x27a60e9e, 0x9b424c8f, 0xe2de7d57, 0x84274498, 0xe63fab48, 0x4b6d03bf,
+    0x9a103a51, 0x3b2aa258, 0x995f77af, 0x5d16bebb, 0x185395f3, 0x6414ff34, 0x1fc93deb, 0x97f61898,
+    0x929b7a94, 0xdebb2609, 0x4df10dd9, 0xc94bff57, 0x665b56d6, 0x893b9380, 0x517ab22d, 0x34fffc47,
+    0x6988a2dc, 0x0506311d, 0x5f02047c, 0xb06c5d20, 0xe86e0499, 0x19b8d189, 0x087400be, 0xc3a5cfe0,
+    0x3c28e8aa, 0xc62e942c, 0xe2516ef5, 0x31913987, 0xf101351e, 0xc151052e, 0x55399b68, 0x896e0540,
+    0xfcc2a56f, 0x3a7ff448, 0x374ece47, 0x29867af4, 0xfa7f4d61, 0x538c54f8, 0xd098ebd7, 0xf5661bea,
+    0x9b21628e, 0xa2324f77, 0x41e3dea1, 0x59b33912, 0x9b85c57f, 0x030e0760, 0x5504d7fa, 0x6f9514d4,
+    0x59a64e6b, 0x3c97580c, 0xe26ff3db, 0x3366a97e, 0x4229afb6, 0xe403fd18, 0xec826327, 0xde692697,
+    0x115bca05, 0xa0733f37, 0x393ddd61, 0x6c5435ef, 0xdbffb06f, 0x569824eb, 0x26b67e5d, 0xb71e5b75,
+    0x0ae26618, 0x8333c8bb, 0xc99c8825, 0xa64a157e, 0xc9cc14da, 0x31617046, 0x87edf4a8, 0xd3969e3b,
+    0x56199408, 0xfca916ce, 0x6674f48d, 0x7182aa74, 0xfcd6c67c, 0xecd2ecc9, 0x0f0e4b5a, 0x3165d512,
+    0xc0f4d190, 0xf01935b9, 0xe0026016, 0x1c6f73cf, 0x691f7a5b, 0x80ce6420, 0x75278b79, 0xe5d3ca21,
+    0xf492cbea, 0x24bac606, 0xb13d3789, 0xb13fa686, 0x9522e4b6, 0xcc5479a0, 0xa24f06bf, 0xfe76f506,
+    0x0d26aef6, 0x16a88d21, 0x016f38cb, 0x93bf51f2, 0xb75e6bbe, 0x4ca03cb4, 0x2702709b, 0x66fdec7d,
+    0x6c217d4a, 0xc0895ee3, 0x3e2badb4, 0x5c9784fb, 0x820df0c1, 0xca6eaaa0, 0x70bcc8a9, 0xcbafaa31,
+    0x2ed08f8d, 0xa54640f2, 0x147b7a46, 0x52e434ac, 0x2aacf5ea, 0x54aacb5a, 0x0aafc9d9, 0xede45f4a,
+    0x0d55df17, 0x2ac16668, 0xae5b4643, 0x02af3fd8, 0xa967ba3f, 0x8e2eff79, 0x7f3373ee, 0x8fdccc61,
+    0xef9fdd76, 0xb1e8ab75, 0x6a5f30df, 0x3a4fd706, 0x0cf11937, 0xb473e607, 0xaeab4d7d, 0xf3c55fff,
+    0x057699df, 0xdd10021a, 0x31a4b514, 0x5e8f7436, 0xa3d12cb9, 0xe2ac519f, 0x07935c19, 0xa7075f47,
+    0xdd504cc3, 0xad2ca430, 0x66f048e3, 0x1c5b9a1c, 0xc44e01a2, 0x9f699d34, 0xfc7649c7, 0x44ee2199,
+    0xe2e234f4, 0xad723a38, 0x7920b140, 0x0a944a27, 0x7fbaa0e2, 0x73a56828, 0x373fd4b7, 0x0233efea,
+    0xeb1c4e7f, 0x91f89a2f, 0x9975528d, 0x54c3fe3d, 0x9c9a92ac, 0x8074c6af, 0x3fa70403, 0x887125d5,
+    0x0bea5cc7, 0x751e3c99, 0x482a1c41, 0xe9c08665, 0x08c8b4c5, 0x9ca8a475, 0xc9cc454b, 0x4475f69e,
+    0xb80af532, 0x13a29e87, 0x214ad8bf, 0x077a1e56, 0x68a308c8, 0x0cbf5e11, 0x09c66591, 0x0e00bf35,
+    0x2530b163, 0xc3256f10, 0x13fe6a5e, 0x90a9abf2, 0x3447ee92, 0x8a922ec1, 0xf4d2aa77, 0x37639554,
+    0xd3f42306, 0xf2dbe047, 0x5a2689d9, 0x78c105ad, 0x1add83c6, 0x8f754fe1, 0xd2938487, 0x5a7895da,
+    0x3f183bc2, 0x6608b527, 0x9f737b36, 0x2ee83e73, 0x29d523db, 0x207fead4, 0x71d3c11a, 0x2441bacb,
+    0x48ae15b9, 0x5ba65fa9, 0xaa4195db, 0x087c49b9, 0x893665da, 0x53cad306, 0xda3aeca9, 0x4884adfb,
+    0x35892cc0, 0x2c18ca40, 0x85ac1d58, 0x7e15bfae, 0x51631fbf, 0xb7be4ea9, 0x60cbf913, 0xe3257fe3,
+    0x6d45ccca, 0x3b1cb051, 0xf73dd939, 0x7ab2c5bb, 0x15ef9baf, 0x7ae82ab1, 0xb590d847, 0xcbccff57,
+    0x9a95a6e5, 0xa6fb84fe, 0x308d4d03, 0x1db018d1, 0xe6737b14, 0xef3fcbad, 0x85867afb, 0xed42e70b,
+    0xe327cc01, 0xfbf32e42, 0x91f3b200, 0x60aa0647, 0x23f0d321, 0x9830bba2, 0x1165eeb7, 0xdf2a150b,
+    0x33d01862, 0x5d7255f7, 0xc509639c, 0x3c89d413, 0x0d1fb19e, 0x550bef0b, 0xff023689, 0x13b20f1e,
+    0x2497fa96, 0xfa466e23, 0x1950d4ef, 0x55ec84bb, 0xb2a75569, 0xa5ec9b60, 0x97f15437, 0xaceb4938,
+    0xd5d4bc9e, 0x1fd68d56, 0xf5092e69, 0x0c0aaf7b, 0x27ef2d76, 0x6d4e230b, 0x3928cb26, 0xbca0b2d7,
+    0x4e5700d9, 0xdc798b29, 0xfbc3f47a, 0xfbd827de, 0xa923bde2, 0xe9479603, 0xb61d275d, 0xb22ee9d1,
+    0x00000000 }, /* 10**-00000000000975546421973747572306749134310364470546436919582803484643486549882\
+                          92866838117675628759565720734124098744591597543956965482749239977758915821568 */
+  { 0x00000000,
+    0x3fffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537,
+    0xf7d187a6, 0x2f99af02, 0x1622ae0c, 0x5c1db415, 0x49c52f42, 0x9ebca11b, 0x7fa9a35a, 0xb300e9d2,
+    0x00000000,
+    0x8fd1efb5, 0xe1af46a6, 0x93c05880, 0x68a896e9, 0xb7f46d8f, 0xff3ccf8c, 0x83b61226, 0xcf70c1e5,
+    0x6625fa80, 0xf6985be3, 0x16b9cfb2, 0x149eb5a4, 0x390e5768, 0x00aebe7a, 0x5b87edfe, 0x99a09cf1,
+    0x8c23f4d7, 0xe2dea7f9, 0x3e04d539, 0x2d253131, 0xcb2c0744, 0x440a5a62, 0xe1d146bd, 0x2543e070,
+    0x3d19bff8, 0x57f7d6bb, 0x0dd1a1df, 0xff23d8d1, 0x96fee1b5, 0xf54d7145, 0xa9717eaf, 0x5ac13560,
+    0x8fc3abbd, 0xe30b5815, 0xde484a96, 0xc91e6fdc, 0xd33b17bc, 0x66544506, 0x2353e7c3, 0x4cf86aa0,
+    0x014e882e, 0xebb0d222, 0xd88b2ce3, 0x8dfc90b4, 0x83be0370, 0xfe128cb3, 0xe70c80fd, 0x2b9dc1c7,
+    0xcc035865, 0x2cf97815, 0xd51fac18, 0x92102d08, 0x3906a664, 0x1205f95f, 0x48ae1511, 0x294996c2,
+    0x452de1cb, 0x3866428a, 0x0b2dbba9, 0x532f3a2a, 0xeddfd799, 0x1d3e59be, 0x4ec48695, 0xbf568aa4,
+    0x6040d54d, 0xb334a034, 0xcae3ab93, 0xb18ad358, 0x1b6661c0, 0x83ffc20f, 0x6398b98b, 0x77ac0e03,
+    0x8958dae4, 0x0f4c08dd, 0x005cf71e, 0xba50dcb3, 0x24b64359, 0x74fdb34c, 0x3375535f, 0xfaaf48a5,
+    0x24126370, 0x8d33aa88, 0xa9a34a58, 0x9492a7f5, 0x5b77f2db, 0xdcab71d9, 0x4bbd041a, 0x921eb179,
+    0x4f0b2a03, 0xb61ae6e3, 0x3b09a20f, 0x9fc43f23, 0x364a285b, 0xf3163332, 0x91c0ca18, 0x67549f47,
+    0x28edef65, 0xf75c00e3, 0x1206f26b, 0xdbefe55c, 0x4c95d39a, 0x294b7a2f, 0xe1a2cdf5, 0x11105927,
+    0xd36ea8dc, 0xbc9c1db8, 0x81147635, 0x15dcfe0d, 0xced8b5d1, 0xdcd2553b, 0x6c4de299, 0xcdf94f2e,
+    0x949e5a53, 0xacc75461, 0x879052e5, 0xb2cf7596, 0x046eaab7, 0x29767435, 0x781cd83d, 0xeb4a2482,
+    0x8e57d706, 0x979dbc74, 0x49255ac0, 0x3050172d, 0x52ed7664, 0x7f21fb99, 0xdd0fdc93, 0x6c15c720,
+    0xc0397392, 0xe08bb2fe, 0x778dc942, 0x45be5161, 0xb6b42dfa, 0xc9508104, 0xad559b50, 0xb7e579fe,
+    0x719cdd9b, 0xaf379630, 0x6b2b185f, 0x00bc56d8, 0x0a4d5279, 0x63ef7c58, 0xe082490c, 0x0137b352,
+    0x21e66b69, 0x388baa83, 0xb583c45d, 0x2a0c54c4, 0xaab10905, 0x57d0e2f6, 0x5fb248eb, 0x044a5846,
+    0x4e8f9321, 0xedff32be, 0x8a0edd6b, 0x6d624e11, 0x08b7b128, 0xe6b229d1, 0xea395653, 0x17a93bdd,
+    0x31654e87, 0xd86336e1, 0x91691c15, 0xa1a5935e, 0x3d6c3429, 0x7f01cb5d, 0x14bddc4a, 0xb28acd5a,
+    0x90b3f34a, 0xc8ecf2d8, 0x02ecfeae, 0xa8f9afdb, 0xd9d030ea, 0x7e2d6f72, 0x0dd30d26, 0x32520393,
+    0xab8defed, 0x6f3e7962, 0x2bf0cc18, 0xf8561dd4, 0x4931d447, 0x5d8a2001, 0x21d5669e, 0xc0fbf782,
+    0x07c55091, 0x1353d0ce, 0x2a6c3ee3, 0x3d9da11e, 0x37b66016, 0x759a76f6, 0x6018f007, 0x4a4a4b30,
+    0xcdea8c62, 0x26f360c5, 0xbaf03342, 0x6993277c, 0x17209c80, 0xc439419c, 0x175d4672, 0xa53ffe3a,
+    0xfb02ad11, 0xebc42a38, 0x0c7c33e3, 0x769a7084, 0x6cec7130, 0x3d5a4498, 0x36b0765d, 0x65d446d4,
+    0x899ff38d, 0xfe8e0a8b, 0x8a7cbf4c, 0xc0e29397, 0xe91718f9, 0x758fedc4, 0x27cab617, 0x5a5fe5a2,
+    0x63a9617a, 0x9a6e0181, 0xffacf41c, 0x9728378f, 0x351ed3b6, 0xa3bd8467, 0xc7fc1de4, 0x1b09d482,
+    0x2610ec75, 0x69f0fbca, 0x183a0f22, 0x8269b649, 0x98dfcb96, 0x91fab957, 0x4714bcc8, 0x082bf668,
+    0x2ad656c4, 0xa0552e9b, 0x7d202a8c, 0x6b641de5, 0x6ee7a93d, 0xd06f1e8a, 0xc0594040, 0x564dcc36,
+    0x3de810d8, 0x81781409, 0xa2d95f74, 0x30a86c01, 0xc0565df7, 0x95372bb0, 0xabe9cdca, 0xfc60b5b2,
+    0xb6d4c80b, 0xa9d860a8, 0xec5d91fe, 0xf82f2cec, 0x3382c04d, 0x2a5e4cb0, 0xd1a24421, 0x9fb2e762,
+    0x5d95b07c, 0x5f3ea0dd, 0xd7146d3a, 0xfd44b3ae, 0x7fa2deca, 0x9b6244fe, 0x6c4dd516, 0x6fb7807f,
+    0x24fb279d, 0x280caa0c, 0xd67ece6b, 0x5215b98e, 0x321dbe73, 0xb7dd38a0, 0x6eb3bef4, 0x0176d045,
+    0xaf5cf744, 0x86842c11, 0xbdb503bd, 0x30cd2277, 0x33b9a6f6, 0xe27456fa, 0x9d93aef8, 0xdc028184,
+    0x555e3ac0, 0xf4d2a178, 0xc3914379, 0x0ddb839d, 0xd7c515c0, 0xfb86003a, 0xb074de6a, 0xef501944,
+    0xef035058, 0x0de1303e, 0xf809a3f6, 0x71f20d9f, 0xa808cc57, 0x41dff4ea, 0x60c5146d, 0x2a737f58,
+    0xf309c371, 0x2acf8832, 0xf162ffe3, 0x10f86ff8, 0x360307c2, 0x893dd4ab, 0x3e22d363, 0x564ebdd6,
+    0xa01633e3, 0xb0a08402, 0x29bc563f, 0x59490bff, 0xd96658da, 0xb66a3cf1, 0x914f5416, 0x27e982da,
+    0x48ac47d4, 0xe8cc7ff5, 0x715c3806, 0x647b87d4, 0x3607ae16, 0x796dc39d, 0xeecfd0e2, 0xc6e49fbe,
+    0xccc4f428, 0x6a105c19, 0xdfe90559, 0xa3ebc43c, 0xee94d6e0, 0x34cefbe9, 0x2c7fcf98, 0x738a73e9,
+    0x460b3f35, 0xc4764f2f, 0x753e091d, 0x9c07a157, 0xf3ad0355, 0xc24624fc, 0x20d42b26, 0x3fc36bf4,
+    0xf0ebaba2, 0x9115e5c6, 0x50b327fc, 0xab4d0d8a, 0x22f4bf0f, 0x33773fbf, 0x7ff00258, 0x1fade105,
+    0x2d14a43a, 0xdd84eb40, 0x6ea263bf, 0x96629ea7, 0xad5bf745, 0x49f41654, 0x82594722, 0x9983327e,
+    0x6b2c8967, 0x66808bec, 0x3a02cd29, 0x06da42f1, 0x139e4b6a, 0x85265823, 0x3c72ff20, 0xadcfbd64,
+    0xdc28f2a2, 0xfb718783, 0x167d6d5a, 0xcdf36802, 0xdc62b80f, 0x7b303b28, 0x049fffde, 0xdb9ed3b6,
+    0x6e3c2620, 0x3f47e2f9, 0x10ce0bbb, 0x37e5f94d, 0x9c895652, 0x67445096, 0xb56f14f3, 0x834abb3f,
+    0x8a6ab939, 0x777a5a27, 0xbf393388, 0x973faa3c, 0x7f906005, 0x9dcf286b, 0x89a5cf6c, 0xebc5ad3b,
+    0x7b4518c6, 0x2029355b, 0xa777ec61, 0xf5270663, 0x10ea337e, 0x17ff29cc, 0xe365d198, 0xbcc50cb7,
+    0x3a180a5e, 0x5e8092f6, 0x0e5f4269, 0x97a5fad7, 0xa52372fd, 0x88b9c334, 0xead6ff5f, 0x65a9a75d,
+    0xeb4f8fe2, 0x00a467e2, 0x5be92936, 0x030c917b, 0x8693bb8b, 0x9b291254, 0x692e6a82, 0xa1aecc55,
+    0x2ea37163, 0xe8254f55, 0x0652b6ea, 0xafd053d4, 0x7527eee8, 0xa45240fe, 0x064f342f, 0x9f1c0765,
+    0xf522ab44, 0x0435451d, 0x0c2e39a8, 0xa673bf5c, 0x8901d15d, 0xfd57a70c, 0xda119e96, 0x94739563,
+    0x9aa4c6f4, 0xc2ff2bfc, 0x61063367, 0x2b81f667, 0xffa97e8a, 0x29847264, 0xe00c840a, 0x4936f0fd,
+    0x78114246, 0xb037a3e1, 0x1940e9e5, 0x82ab34f6, 0xd7e9de28, 0xbf66aee5, 0xa58caa7e, 0x08fdba53,
+    0x62e188af, 0x10561f9d, 0xdb781503, 0x132adbfb, 0x0adcf211, 0x5124299d, 0xac3880a5, 0xafe4e47c,
+    0x2d3d4c97, 0xfbcaec2f, 0xbd74fed9, 0xb5dd04c5, 0x80f9cd60, 0x71de08ea, 0x94d47d6c, 0x1d3b03ce,
+    0x001d1244, 0xbc312ebe, 0x22e87e94, 0x1bb050bf, 0x672a58e6, 0x54cc00c2, 0x94140c3d, 0xcee78486,
+    0xe7a52746, 0x21d8e233, 0x14a43266, 0xbc85539c, 0xa4c8cbc1, 0xdeb98b3d, 0x3d568019, 0x3f33aacf,
+    0x85094476, 0x2e3fbff9, 0xfb4feb92, 0xd540cfa4, 0xdfa704f6, 0x2639f675, 0x22a2dc18, 0xf3025ad8,
+    0xca9d1cef, 0x59769447, 0x72e20794, 0x9edced84, 0x2e75a28f, 0x0a891ac3, 0x2554379b, 0x53e979c2,
+    0x10de031b, 0x4bb4ba48, 0x3cda56cf, 0x9f3bc855, 0xdb213c09, 0x4c8b16c5, 0x0e4f8a92, 0x27032fcf,
+    0x79f39f70, 0xe4eb2c4c, 0xc1ad4f14, 0xdf13650d, 0x995e01e7, 0x86266616, 0x8e6b24ab, 0x112fcec7,
+    0x1029451e, 0x2472e346, 0x99d0ac14, 0x84f3488f, 0x957162d9, 0xc3f7337c, 0xfee10342, 0xd4cf480e,
+    0x3374cf7c, 0x304f36e1, 0xc0f5d485, 0x23898030, 0x58c7aa3f, 0x9d2a4ed8, 0x3a3276b4, 0xb8977894,
+    0xe6a10017, 0xc2e77b7b, 0x73e41a73, 0xfe02e42b, 0xe6f527ce, 0xb58d9fa0, 0xeef82163, 0x1ed7554b,
+    0xc2f6fac5, 0x38c2b552, 0xdfb063a1, 0x34a827ce, 0x6bb832f3, 0xc3596e68, 0xb1952329, 0x864b3197,
+    0x0bf9c084, 0xec3c9b17, 0xfe0465eb, 0x6204d64f, 0xa0ee6cff, 0x9edbb950, 0xaa71f71c, 0x94880d90,
+    0x0e991ceb, 0x7a2440b8, 0x33da816d, 0xd5089789, 0x7a0cbfd9, 0x993f5f25, 0xbbb2ad2c, 0x919115e4,
+    0xe289e3c1, 0xacbb74e5, 0x8505e322, 0x171cf6d9, 0x7d759b86, 0xdd78ed92, 0x08bc2af9, 0xaaf63061,
+    0x05c175a3, 0x14fe1341, 0xabdbf3df, 0xa798141a, 0xf19d135b, 0x3eca7013, 0xbb20803f, 0xf25b6061,
+    0x5df48c34, 0x1660f2f4, 0x31fa68c6, 0x23f4713c, 0xebff940b, 0x2099ea34, 0x8b6c5610, 0x5b1616f6,
+    0xf5f3d44c, 0x0b84b15a, 0x3e2937f5, 0xd1f1b03d, 0xdb5a8073, 0xd232aef2, 0xc2dcb17a, 0x9aa98bf0,
+    0x6416f960, 0xd2ddcb4f, 0x843ee378, 0xca27ae84, 0x5ec18242, 0x29686156, 0x7c21bb2f, 0x0d0b5757,
+    0x2d3ee1e4, 0x51f7418c, 0x8467bcb4, 0x0df4e5f0, 0x8f3e707f, 0x03ef0cab, 0xd0aa1b91, 0x6bc06e42,
+    0xe644a444, 0x5e5807c7, 0xe1c27e7e, 0x567dec81, 0xa82f014e, 0x2e4ed7b6, 0x28668c4d, 0x1e5c3f8f,
+    0x20aac482, 0x45730dd0, 0x6f5bd707, 0xece9ef99, 0x8c1cb0a2, 0xcc80afd2, 0xe7ab891c, 0x2995bb0d,
+    0xb4c73a8e, 0xa5851837, 0xcf7bdec2, 0x649a243b, 0x2dbe4215, 0xded64e3c, 0x208da447, 0xaf93df75,
+    0x08b2d95d, 0x86084b3f, 0xa5d9064c, 0x5fc559ad, 0x7990fec1, 0x9798766c, 0xa1eab2f3, 0x57e62a1b,
+    0xf879779d, 0x6056f0a6, 0x24b2494f, 0x16e14d06, 0x2575d0d9, 0x404fb9bc, 0xc68a3d77, 0xcbae4978,
+    0x8ec94bf5, 0xfa3a11ca, 0xd01ee37a, 0x30caa2d0, 0x0f13fd5c, 0x356f3888, 0x64383a8a, 0xa705e070,
+    0x470bce7b, 0xf3677872, 0xc33fcbe0, 0x8ad70de2, 0xf758fc29, 0x529c8f9a, 0x45d1353f, 0x7824b8de,
+    0xcc2d50e0, 0x2c389738, 0x543f783e, 0xece5a077, 0xd30d661c, 0xe938e813, 0x92d0580e, 0xf9acbee0,
+    0x11aa6402, 0xf10ef990, 0xc3958aef, 0x3a5d21ed, 0x3c04e0a3, 0x5675fa67, 0x6f95ec2f, 0xaa9300ba,
+    0x615a6469, 0x4660f713, 0x027954bf, 0x4d316a3b, 0x8ed353a7, 0x733cdcbf, 0xbfe04d36, 0x72a351d3,
+    0xfba7d052, 0x507a1d21, 0x7dfebf0d, 0x2dd72025, 0x01531920, 0x570eace9, 0xda82c1ca, 0xcc2e5588,
+    0x5adf4f30, 0x386f002c, 0x61c770a7, 0x06043e33, 0x5e149fc7, 0x0025feaf, 0x707ab970, 0xefcdf95a,
+    0xea52fca5, 0x5862afae, 0xfabb8103, 0x088d3e6b, 0xad146eb6, 0xcb5231b2, 0x1c8d93e9, 0xf92b6711,
+    0x214f6e04, 0xb60781b0, 0x97131bb7, 0xc5606d81, 0x96f2cb63, 0x52828da2, 0xdacadeda, 0xc661491d,
+    0x5f153aeb, 0x2b5e180b, 0xb82a490f, 0x2d34e7ca, 0x3ed40499, 0xc62bd91a, 0xf9d40423, 0x7f709574,
+    0x0ff18f30, 0xc203a8a2, 0xf3f968e6, 0xd654aaaf, 0xa178b763, 0x6cdaea7e, 0x44af421a, 0x6bb37847,
+    0x279ffa9f, 0x986e0a49, 0x4adcbb56, 0x11252c90, 0x90000f76, 0xf51dd67d, 0xb3010a38, 0xc68689de,
+    0xebb034eb, 0x09c98886, 0x29377309, 0x12efa773, 0x49ffe97f, 0x2ffb15d7, 0xd3aca93e, 0x2084fd36,
+    0x7b1cf489, 0x647d3bb9, 0x662d000d, 0x2eb8515e, 0x7e79ef6c, 0x0520ca28, 0x4b455e48, 0x7f1719f8,
+    0x91550b99, 0x8555ef5e, 0x0b6b2ed0, 0x0aeb2b7a, 0xbdaa75fb, 0x5372d984, 0x6f12aa17, 0xca8ec4e2,
+    0x17f9bae6, 0x2272706b, 0x3610a7d2, 0x98809c38, 0xf18b8b8a, 0xbbcffb7c, 0xebbc7a3c, 0x4bf87656,
+    0x65dcf1d0, 0xbe38e303, 0x35838458, 0xa0336da2, 0x5cf1d3f6, 0x9009f126, 0xc73040d9, 0xaca358ff,
+    0x36f34642, 0x3ead5b96, 0xbd3d4d46, 0xcd45a10b, 0x79756c30, 0x0478234d, 0xb5d42748, 0x1c09f96c,
+    0xd6fc49dd, 0xec6debb7, 0x0327c59e, 0xee8a8797, 0x9f9afb22, 0xb2eba9d7, 0x35e771d2, 0x6d0f97e3,
+    0x84528b62, 0x98d453e7, 0xcf2cceb1, 0x53ce7d11, 0x38d6cd07, 0x80c5bcef, 0x5a836a2c, 0x6b649a5f,
+    0x98e130ee, 0xc6fc4823, 0x6e97fc56, 0xcbfe97d5, 0xe3c6c2bf, 0xf16b55e4, 0x4f840734, 0x3ee2d1a4,
+    0xcec1179a, 0x4561058a, 0x9052b3ce, 0x87373078, 0x82ac7e95, 0x7a1a2326, 0x7053f500, 0x0f378f96,
+    0x0f5a13ac, 0x18390c87, 0xd2ab0f8c, 0xa200e6f2, 0xbc7ee3b8, 0x267e33df, 0x7590f5d3, 0x42b0dd42,
+    0x76a6e79f, 0xfcd901c8, 0xd8f34e00, 0x273fd87e, 0xa1a7473d, 0xcdb5ba0c, 0x4b560f82, 0xbcfd2866,
+    0xa7307b49, 0x638184d0, 0x3e40dea1, 0xc47a76d2, 0x42e6ba2e, 0x8968ba2b, 0x44a5c62b, 0xc1904207,
+    0x9ae9ddcd, 0xb7bf9186, 0xc3391f5d, 0x8b87a5fc, 0x5cd77a3a, 0x441e3b1f, 0xcb0262e8, 0x3f57510f,
+    0x271fe989, 0xe02ba54e, 0x289a096d, 0x554aaaab, 0x93033e0c, 0xce43cea6, 0xd6760417, 0x040e3367,
+    0x73078e66, 0x36ac4cbd, 0x2d7e49a9, 0xaae8276f, 0xe223f5dd, 0x4390c364, 0x00e3818f, 0x6f4f8f7c,
+    0x37578d9d, 0x0513fb7a, 0x790d3a57, 0xf44fbf90, 0x161fd65d, 0xc749189c, 0x510bd5fe, 0x285d947d,
+    0xadcb043d, 0x225cd551, 0xcc64f8e7, 0x069ae649, 0x6c07a9b3, 0x02e769c2, 0x8fe53fad, 0x7b28f5b8,
+    0x2d9342dc, 0x45061b3b, 0xb824c6c4, 0x0a1eb81d, 0x1e1d909a, 0xef318428, 0xef9ba848, 0x118060cc,
+    0xe4acf1fa, 0x6884a5c4, 0x1bb5bbbc, 0x4e6cdda2, 0xf2877688, 0xf480f06f, 0xeef77107, 0x4fae478e,
+    0x332b60ab, 0xc76bf1b1, 0x9ae74435, 0x50083736, 0xa31d1e71, 0x35973541, 0x002abc97, 0x2bf8f3f5,
+    0xe3f272a4, 0xc242e1fa, 0x27f4894d, 0xa6031df2, 0x595dfd10, 0x41bc4abd, 0xaa62b17a, 0xe7c8d3bd,
+    0xe0f461f9, 0x095d59bd, 0x97eb034a, 0xb7cd9fc0, 0x10e71a84, 0xdf0d88a0, 0x93f0cd58, 0xea2b11ef,
+    0xe0fd40e2, 0x75d49bb2, 0x199d037f, 0x880dc61d, 0xbd2bd6d3, 0x20d49e0a, 0x8f748f6f, 0x0c7544e7,
+    0x086d7fdc, 0x60a21175, 0x2c84cc53, 0x7064192d, 0x69e26b50, 0x9d5a58a9, 0x4ea46c3a, 0xa95a25b2,
+    0xd120f983, 0xc4224bcd, 0x10475ecd, 0xfa0d9ffa, 0xd035bc51, 0x74880fb8, 0x48c47093, 0x85fafa64,
+    0x92c0e9fb, 0xd59ade51, 0xd177b2d7, 0x4fb046a0, 0xf9e207c9, 0xf1761739, 0x6124ae7c, 0x8129253d,
+    0x57aa3423, 0xb876f99a, 0x26923f78, 0x4258b436, 0x86db9db4, 0x223f2401, 0x3bd43599, 0xf29db1a7,
+    0x2f38341f, 0x18d53e96, 0xb03cf17a, 0x8152264b, 0x43400ba3, 0xee0df650, 0xbd90a79d, 0xe686e208,
+    0xeb7246f5, 0x1a1c9d07, 0xda66305b, 0x879be74e, 0x2bf30db0, 0xe7c26117, 0x8e32c50c, 0xe30e9e89,
+    0x610ca0eb, 0x2131a798, 0xde8549d0, 0x6ee22568, 0x178913e6, 0x251ca03d, 0x04a9bf6c, 0xfb760f2f,
+    0x1aa14eae, 0x364a7fab, 0x8a3b4d2e, 0xacd8ba52, 0x7d6059a5, 0x1a81382a, 0x0d7ebc74, 0x653b0c26,
+    0xd7bd729d, 0xd520da71, 0x6f6d73d1, 0x17f611e1, 0xe7e1bfe5, 0xa624a688, 0x2965e567, 0x230cc261,
+    0xa8da11f1, 0x7b2e4230, 0xe2d946e7, 0x55650b17, 0x46e1c18f, 0x7e7299be, 0x20360765, 0xe549a3f6,
+    0x00000000 }, /* 10**-00000000000487773210986873786153374567155182235273218459791401742321743274941\
+                          46433419058837814379782860367062049372295798771978482741374619988879457910784 */
+  { 0x00000000,
+    0x3fffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b,
+    0xfbe8c3d3, 0x17ccd781, 0x0b115706, 0x2e0eda0a, 0xa4e297a1, 0x4f5e508d, 0xbfd4d1ad, 0x598074e8,
+    0x00000000,
+    0xbfe14804, 0x299f57d7, 0x4326e6bc, 0xc036937c, 0xe67a9832, 0x46fa4a27, 0xd408a93e, 0x969e1f96,
+    0x7bf0819a, 0xdf8a3696, 0x9eae1200, 0x24095603, 0x7f9d904e, 0xc9cd0eab, 0xd7c934c6, 0x449a9a52,
+    0xd61ec66d, 0xcdb5fb5d, 0x5a05d0dd, 0xc5575f48, 0xc910499d, 0x16eb3906, 0xa70e9c7f, 0x9696a26a,
+    0xb219d6c3, 0x3241b54c, 0x1934dcbf, 0xbbfbd29f, 0x08defb44, 0x7ee5d876, 0x486046f2, 0xa8f62d53,
+    0xcac4ca45, 0x9fa1fe98, 0xc8826fcb, 0x1d38535f, 0x347c255d, 0x80d3675d, 0x4d3317a3, 0x3bf5e26e,
+    0xadd71abe, 0x618c8cdb, 0x201bfadb, 0xa2a49cbb, 0x13bb923c, 0xb12270a8, 0x877f4a93, 0x4fc15a8f,
+    0x0c458aca, 0xa288a14e, 0x92596c09, 0xb414de03, 0x632c5636, 0x4eb35ea3, 0xf49cd3ac, 0xa1f7a106,
+    0x152e80b4, 0x15070fc0, 0x7a03c11f, 0x8a1855dd, 0x9f5a446f, 0x3e7c43fc, 0xb7da2c22, 0x66450a31,
+    0x8b3af732, 0x1b10e22c, 0x1b6d078a, 0xe20b68e1, 0x77aa8f15, 0xde87675c, 0xb497ad74, 0x8f5f5b0b,
+    0x2cb66d09, 0x60b4c710, 0x0ee6607e, 0x070ed776, 0xa0bb6fdc, 0xd7ca4124, 0x337cd6e2, 0x50f5a6a1,
+    0x252be9bd, 0x9dd06895, 0x06c9c68d, 0x552e6246, 0x6bea1366, 0x5706adb5, 0x79ec0b7e, 0x3f132b23,
+    0x21948107, 0x1ca55e05, 0xcdf1f307, 0x06587a7c, 0x47ef282d, 0xc42788b8, 0x21ff057c, 0x6feb65f0,
+    0x6a2dbad7, 0xb29ee9d8, 0xd0148988, 0x113d8f8f, 0xf0bf6070, 0x48bffb5c, 0xf67516ce, 0x585e43c2,
+    0x3c5bb21c, 0x0d450b8d, 0xa97da712, 0x7b5fcab3, 0x9636d51a, 0x9370745c, 0x08771a96, 0x23ad3e80,
+    0x0c84a674, 0xc2115963, 0x51e6b02a, 0xe6d7dcba, 0x84649ccc, 0xd6d5f48c, 0x8e4c8c85, 0x2ac94f08,
+    0xb2e7f202, 0x74062433, 0xd7b3c3df, 0xae5ece0f, 0x632802df, 0x50700c3e, 0x3f720ae5, 0xb12cb9f0,
+    0x99ee9c54, 0xd9685474, 0xf8a2793b, 0xe1de17fc, 0xcb702c8f, 0xebff8c7c, 0xf55a16a0, 0x32be2b48,
+    0xcf72a88d, 0xc845ccfd, 0xf73f649f, 0xf4a2f003, 0xe1ecbc0f, 0x0f77f44a, 0x70a2ba32, 0x57028dc9,
+    0x94b67d03, 0xa70e7eb4, 0x00d9bb37, 0x47136bdd, 0x1434c3cb, 0xa34cf225, 0x3da4e3a2, 0x478796d4,
+    0xf88fa472, 0x34a2c484, 0x721c4643, 0x7db4de02, 0xebfe1065, 0x5d933b6e, 0xfece4b27, 0xfc08896a,
+    0xcb039c46, 0x6d7e14c1, 0xd98ecd56, 0x9e7c065a, 0x1d619211, 0x17b9a87c, 0x7af78f3c, 0x326af373,
+    0x19e2c742, 0x84fc9f66, 0xfd4bc627, 0x3593af1e, 0x903f7ffc, 0x0a4bc126, 0x909f068f, 0xe5cb993f,
+    0xc1cc4242, 0x248138f5, 0x32368630, 0x824bf156, 0x16bbdd1e, 0x3608c698, 0x5803d044, 0x0288966d,
+    0x4dd99f1c, 0x7de07574, 0x2a45b865, 0x6cfc550c, 0x48af06f4, 0x7ba4c149, 0xdcbb897e, 0xfeab8ed1,
+    0xdf9b1ecb, 0x3ff25510, 0x7061053e, 0xd8cce221, 0xd3c01a9f, 0x457abdc3, 0xe8beda9c, 0xb9ee9bdd,
+    0x9d413e03, 0x9c317507, 0x7168444b, 0xb88f150b, 0xee37bb17, 0xd0b900b8, 0x17f1786c, 0xa168ae14,
+    0xa7f0a73a, 0x761d02a9, 0xdb9f81b5, 0x976425cf, 0x2d7300bd, 0xe19d24b9, 0xa9be90b0, 0xf904a3bb,
+    0x68fdc3e4, 0x08a9d965, 0x66eae30f, 0xb584a068, 0x25cf3faf, 0x9c316f7a, 0xfafb0e30, 0xe4ee8750,
+    0x1a635d8b, 0xe8f2c1cb, 0x93e2ac18, 0x0e26f3ae, 0x3ad57d1f, 0x62d0b278, 0xf36ed3b5, 0x07c4715b,
+    0x62b8b8f8, 0x6704d0d2, 0x05f9cc6e, 0x84390623, 0xd4a50106, 0x9c12f0ec, 0x28c61c6a, 0x0e4e3e63,
+    0xd8cb8d89, 0x598ec2f3, 0xb0b52cc7, 0x72e1c63f, 0x8bfa7500, 0xfcfc9dfd, 0x00b41d59, 0x175edc05,
+    0x9fb50cca, 0x0a8313f9, 0xe494ee71, 0x480421fc, 0x080be9fa, 0x3682a239, 0x65cab0de, 0x65e7e5ca,
+    0x687ffef1, 0xf5ebf960, 0x41df6527, 0x958dbfc3, 0x8e9d4db1, 0x7bb23d65, 0xa359db1b, 0x9d56a083,
+    0xe8c463d1, 0xa4969bd2, 0xe41741e0, 0x8ce5cc5b, 0xc94e36c7, 0xeba61895, 0x39e2cdfd, 0x8bc7bd06,
+    0x449830c0, 0x1b124a6b, 0x7871f9a4, 0xbd4ebe4e, 0x773644f1, 0x863ae2b3, 0xa4a47e95, 0x0e574955,
+    0x393c89de, 0x2a4ae9cb, 0xae418ad0, 0x267bcccc, 0x34333593, 0x07a776e6, 0x3df7714a, 0xab29cb71,
+    0xc6df639a, 0xa66e7957, 0xa288eb82, 0x733dacc3, 0x77d7a028, 0x3d428951, 0xb8ab2f9a, 0xe25ae0e2,
+    0x79d8f6f2, 0xf8c408f3, 0x9c66b036, 0xa05736bc, 0x71432f0b, 0xa1c9f5cf, 0x814b95dc, 0x67c1f6db,
+    0x9355d87a, 0xffb84f87, 0x3fd61692, 0x9f83f276, 0x23f9e637, 0x4da47515, 0x4e23f485, 0x2fd40358,
+    0x01c054c8, 0x4772bbb8, 0x86782d15, 0x5fe83956, 0x074cd867, 0x750bff92, 0xa2582dbd, 0xad7bbc04,
+    0x8b12d412, 0x26273c9b, 0x4198e844, 0x08ef1202, 0xa81475ec, 0x62d043e3, 0xbc2d14fc, 0x51f441bc,
+    0xe49a904b, 0x1070cab1, 0x4d080841, 0x7911d43e, 0x3e909a2d, 0x329ac021, 0xa8981ce1, 0xd4ab2faf,
+    0x30a4ba3f, 0x97da20e3, 0xe5bf6799, 0x4294bcf2, 0x0d3ed624, 0xd9b3772d, 0x9811c280, 0x62b29ed7,
+    0x4659ab1b, 0x5973c89f, 0xaf7fca68, 0x2dd01392, 0xfb7d8a40, 0xcc165d74, 0xf1ff0aa4, 0x33ef7ab6,
+    0xb36e4c50, 0x9b1bb905, 0x9906cf50, 0x6259ac2f, 0x69c2f00d, 0xa3fbd021, 0x38fa187c, 0x9cd1060f,
+    0x9c3969c0, 0xf6dc2cd8, 0x11bbf3b3, 0x9fa47696, 0x251b0941, 0x74cf1069, 0x5d62390a, 0x0f231460,
+    0x01fff1c9, 0x4069543a, 0x8f47b436, 0xaffcb33e, 0xba29142a, 0xd8a211a2, 0x209f48c0, 0xb6ef1c43,
+    0x78fa4c9b, 0x98cdce92, 0x51b3cb9a, 0x5e846119, 0x53827095, 0xbfee7be2, 0x3a17cd02, 0xa0a7bb55,
+    0xcaf84d77, 0xc275ce12, 0x497053bd, 0x38ba48ef, 0xd350753a, 0x921dda10, 0x4e93f4f8, 0xd9dfdcbc,
+    0x924f8c49, 0x9110657b, 0xea189897, 0xa32d5658, 0x09ba6edf, 0x4885869e, 0x47bd981e, 0xe5f2b08b,
+    0x5a244b02, 0xe255fdc6, 0x078f9d9f, 0x1de4cabb, 0xae95f0e7, 0x5ecb0006, 0x9d135865, 0xd1860d30,
+    0xf0edc2f3, 0x03bc5472, 0xe8b921ea, 0x67dec2b0, 0xe06c52d0, 0x2e417973, 0xac33b980, 0x669b137c,
+    0x4b0afcf4, 0x793df9e6, 0xe31595c3, 0xf549965d, 0xa8b502e1, 0x9be24a9c, 0x6f68c700, 0x1aee5ee4,
+    0x9176472d, 0x56baa014, 0x226ee0b3, 0x175a3888, 0x26fc85c5, 0x0264a7d6, 0x6ece6d9a, 0x87acef1f,
+    0x8508188b, 0x1e78b509, 0x572219c2, 0x9d7ff270, 0xf2541303, 0xf7e4471d, 0x4f7a4856, 0x60a5b2be,
+    0x430ade01, 0xcc4e8451, 0x022cbc34, 0x7bf64e09, 0x1c0918e5, 0x7a942354, 0x6b9b1ec2, 0x11d04e6a,
+    0x16a8f99f, 0xaf5ad229, 0x74b0763c, 0x825fa567, 0x82b019a8, 0x9a1d6bdd, 0x9e01f4e9, 0x7b82b2f0,
+    0x8709d811, 0xa17700e2, 0x5f4e15fe, 0x33776932, 0xd68559bd, 0xcd17c07f, 0x9bdc2954, 0xc69467fd,
+    0xe3340d36, 0xf20e8ac8, 0x23e7b414, 0xb8cb7f96, 0xac76b89c, 0xe29ba71a, 0x62f7f8ec, 0x66583084,
+    0xdf522686, 0xb5d2674a, 0x93c0abc0, 0x44e2d85a, 0xf7e0a7da, 0x8925e397, 0x70160ae7, 0x840fc50a,
+    0xface91e6, 0xe9df4435, 0x304af11d, 0xe5289b29, 0x2e439ad7, 0x3f8d146e, 0xaea2dd80, 0xc2321071,
+    0xa906f1c8, 0x8d8bdc1f, 0xd75a7d3b, 0x1db5b499, 0x1a9cc2c7, 0x5ec955db, 0xd7d93cf7, 0xc80e5e87,
+    0x7f70c8cb, 0x48deb8b0, 0x81db1630, 0x3bedcd13, 0xb0391cc4, 0xe624905e, 0xbfcc6ba8, 0x0cb147aa,
+    0xd82d8578, 0x9317a65b, 0x3756bb79, 0x034840fb, 0xede0cf71, 0xf7ca1e57, 0xf15aa8ca, 0xf00c32b3,
+    0x0ce60f88, 0x9828713e, 0x93797997, 0x8a6c1854, 0x389f8e51, 0x67f4f070, 0x04330321, 0xde91343f,
+    0xff452183, 0x077ef10d, 0x3ce65b69, 0xa2e613d2, 0xe83dfd8f, 0x5d5d9c22, 0xf858f688, 0xdce8984b,
+    0x8067386d, 0x8e279664, 0x49b04ad6, 0x428e5b4c, 0x882fa5d9, 0x5e48d451, 0x0c677f36, 0x5cff41a4,
+    0x41b137cb, 0x6915708c, 0xdc1aa5a7, 0x868f9e9f, 0x473c22fc, 0x562c2b9f, 0x16a2fd4e, 0x387a28e2,
+    0xc6773284, 0xdea07877, 0x695dc95c, 0x4fbae30f, 0xadaa5556, 0x4847802d, 0x5bc0ae1f, 0x9514ca62,
+    0x59410da8, 0x997d8998, 0x130ac0dc, 0xb518f635, 0xf950963b, 0xa27d5f1c, 0xebd1cf48, 0xeb83eca8,
+    0x119b5a79, 0x4a25ce66, 0xc8522be2, 0x89790cf3, 0x6c8399f5, 0xd3f81b65, 0xff3a623e, 0x89070a91,
+    0x2897adb3, 0xb8f9520f, 0x226bf02c, 0x7bfb58ca, 0x2a81debe, 0x90d684cb, 0x2fd9add2, 0x224a4641,
+    0x5fa67f7c, 0x3991fc7c, 0x436944ef, 0x12b95ffe, 0x2ee58d7a, 0x21ea0898, 0x7e500dfd, 0x9f40c826,
+    0xc2b7f9d6, 0x9718a555, 0xf10eb5bc, 0x63680bd5, 0x964e1528, 0x7e23ddc4, 0xb10df38a, 0x1723e22b,
+    0xc8776053, 0x3de57901, 0xf3349a38, 0x54c58944, 0x0acee201, 0xf49587c6, 0x3d2f8cdf, 0xfc7c7b5f,
+    0x39331153, 0x6b7e36a2, 0x87d8bf11, 0x5f888f3b, 0xd89faf23, 0x4f7afb6a, 0x7c00911a, 0x8d9a03de,
+    0x25dd2ab3, 0xb10120fb, 0x258f4a54, 0xdb4997a3, 0xc06dfbf1, 0x3f9d62a1, 0xb1e1e250, 0x87ae21c7,
+    0xd77faac8, 0x12f0becb, 0x279ec411, 0xc00e138c, 0x9ffe7075, 0xd0924e5b, 0xf4f88fd1, 0x728568f5,
+    0x534e1aca, 0x216fd53b, 0x7035be6d, 0x8d26f3a9, 0x582e440a, 0xb2a0a7af, 0x7b260b1a, 0x7a5a994b,
+    0x92597c7f, 0xa38c3c0b, 0xad56f991, 0x3d164d54, 0x6c1373d4, 0xe550d578, 0x8a273868, 0xda7adcf0,
+    0x793aa04c, 0x0b455fad, 0xd0deacbb, 0x6dbc4c77, 0xef04e1fb, 0xa0c0acde, 0x8fe7c8d5, 0x4a286958,
+    0xf2e19768, 0xdae6b90f, 0x32f1a069, 0x10c70256, 0x866368bb, 0xa953e0ed, 0x6e4cebbb, 0x27674c1d,
+    0xaaed2c3a, 0x771b046c, 0xaf7ba616, 0xc764f9bd, 0xd3484221, 0x6ad73bc9, 0x4863b4aa, 0x6cbde945,
+    0xbb83584a, 0xd3fdce50, 0x80ec3e63, 0x71dd7380, 0x9f29a054, 0x3af880fe, 0xa670e4dc, 0x6d46e73e,
+    0x3ad45004, 0x9c2091c5, 0xb3f5cb80, 0x5573c80c, 0xc73ed323, 0x5d569b44, 0x06bfd549, 0x8ee62897,
+    0x5604cfa1, 0x5cf6fa22, 0xfe639ff8, 0x7f381895, 0xe0290ae5, 0xb6f46128, 0x3180f162, 0xc07994d1,
+    0x66d75e4e, 0xfd278858, 0x84fea147, 0xa2731e95, 0xa140958e, 0x6fe8ace5, 0xdc19495d, 0x85f2f91c,
+    0xc1cc58ef, 0x1151c3bb, 0x5a08f20d, 0xf92f2d5f, 0x2819791c, 0xc82f6557, 0x4bedc46e, 0x316c6f88,
+    0x5db5af39, 0xb1f023f2, 0x75cd3d12, 0xea46dc11, 0x2b26ee42, 0x984068f9, 0xd4334ad5, 0x33dd204a,
+    0x2c12d1fc, 0x514a9732, 0x2b2db09b, 0x9927c568, 0x73243e9b, 0xfcb82824, 0x71c1d56c, 0x687e4fd1,
+    0x929691d1, 0xdd3d18ed, 0xec9de28d, 0xf07bf92a, 0xdc4af093, 0x521fa1aa, 0x16fcb9e9, 0x97e3ddce,
+    0xe16e1905, 0x2a2c603a, 0xd894032e, 0x7118ef41, 0xfd22a24d, 0x3119120f, 0xee62c924, 0xfdf87872,
+    0x08c76e41, 0xeb237121, 0x82177e7c, 0xb453f913, 0x6d804575, 0x0078822e, 0x4f4bcd1a, 0x4e678c00,
+    0x2060eaae, 0x96b1ce24, 0x4656459c, 0x37d83548, 0xd53b8e63, 0xd6eedf33, 0xd5471ef3, 0x0a6e7314,
+    0xaedfc04a, 0x46005db4, 0xf7d6e063, 0x84b7ef2f, 0xbe81a1ba, 0x8d8e891a, 0x2b9176e0, 0x71ae188e,
+    0x63274132, 0x9df3a44d, 0xda8643c7, 0xb4572fb8, 0x4c6813a1, 0xf928e887, 0x10a4e9f3, 0xaac365ec,
+    0xc755fb06, 0x1e4be2a7, 0x3ca60ab5, 0x2b1984b5, 0x078437b7, 0x2daebde2, 0x9bfccf62, 0xf0f7f1cc,
+    0x85d5ef90, 0xabf8f7a7, 0x012f851b, 0x793503ef, 0x8542421e, 0xd734ff9c, 0x65f23cec, 0x5572344b,
+    0xfea031c8, 0xd34e6abe, 0x87b8fb57, 0x7614da98, 0xb8885ad0, 0xbbbd0458, 0xf9421263, 0x0a784377,
+    0xd3b0e0bd, 0x513236b2, 0x3d7639dd, 0x80c90946, 0xdec3594a, 0x98ed9fef, 0x36a12c2b, 0x6e1d16bf,
+    0x2a2d81b8, 0x57ae4e63, 0x650e58a3, 0xfd2b0749, 0x0c1b9ecc, 0x1e4b1757, 0x97bf9ccb, 0x3c0384e5,
+    0x389d4f16, 0xbfa05b97, 0xf91c8c4e, 0xd4b60020, 0xa8ccddd7, 0x6969a00f, 0x252a749f, 0x82af0a85,
+    0xea26b039, 0xb05ca8e8, 0x2a28e1ae, 0x6a59d637, 0xd126c036, 0x699181bb, 0xb59b3ba5, 0x04d7a3ea,
+    0x17b86399, 0x8c7a7500, 0xe0a4bcba, 0x2ce88684, 0xc9e193fb, 0x030abe86, 0x694137bc, 0x7ec1cb68,
+    0x9d9b2d1f, 0xceef407e, 0x6ad91a37, 0xd8af7cd2, 0x99d511d5, 0x819cfc17, 0x02e0cfd2, 0x61424c1e,
+    0xaaa52dd5, 0xbf6bc304, 0xdbb23446, 0xbcbf2f5b, 0x55032d62, 0xbe17046e, 0xd5a8a25c, 0xbeb272b2,
+    0x5413583b, 0x0a0c644b, 0x5de5ac2f, 0x9c87ce77, 0x3c3914c8, 0x22e7a752, 0x7fac9bca, 0xbb72f86a,
+    0xaab98f3e, 0x7e367c92, 0x507be0ad, 0x8cde4a39, 0xa3c04792, 0x8d12f303, 0x8b5949dd, 0xff4f5994,
+    0x18352912, 0xafbb0f9b, 0x7b56a2ba, 0x51b5173a, 0xf5a57235, 0xccb24fbc, 0xea1172b0, 0x40ff8eca,
+    0x20005e51, 0x838c8e6a, 0x3dde4777, 0x2252f784, 0xdba64989, 0xf7591bea, 0x756fb3aa, 0xa0306279,
+    0x9de813a9, 0xe7daff05, 0x66361b19, 0xcd367bbb, 0x78d12412, 0x44ca23e7, 0x1401862e, 0xa056002a,
+    0xf674a633, 0x2f7da63e, 0x1144e08f, 0xc320f5d3, 0x07e1cc0a, 0x406f4fe9, 0xd8eda5a8, 0x00a4215d,
+    0xdea50028, 0xff4c7df7, 0xe15cddb5, 0x45e4463c, 0xb3652dab, 0x1ac0049f, 0x2a1df4ec, 0x2db8aee7,
+    0x3739b062, 0xfa1ab99b, 0x761ed33c, 0x79041b8a, 0x02c3979a, 0x1c85093c, 0x06d57598, 0xd9ee451c,
+    0x8b37b714, 0xc35a2804, 0xe4694b3c, 0x7e77b2d8, 0x1fccd4b8, 0x78c2488d, 0x18fc888a, 0xfb50fc94,
+    0x95ab1670, 0xdeee2de6, 0x4582faae, 0x7eca9d35, 0xdebcf142, 0xa1960a8c, 0xf035b9d8, 0xbd9ff20f,
+    0x08bcbba7, 0x9bdd92a1, 0xa5d8c476, 0x926d49d2, 0x3ebedd5d, 0xd4246cff, 0x7ae8efb0, 0x931c5b1e,
+    0xa2b8a1c2, 0xb251cb1e, 0xefd85aef, 0xe1385125, 0xe48d3dd7, 0x59890c61, 0x2997770b, 0x3b73008f,
+    0xa4d48605, 0x2277b8ac, 0x04b31e4a, 0xa7ef7bfa, 0x76c72050, 0xec1da0ed, 0xfe848c68, 0x897a3567,
+    0x6a2306bd, 0x0be503af, 0x807604bf, 0xc34b4cf6, 0x6a7d68dc, 0xfe4e4e30, 0x3a4dde9a, 0xe775a667,
+    0x2803e497, 0xc0e5b497, 0xcee7a231, 0x24df7a25, 0x8d2892c4, 0x745d99c1, 0x66a6e199, 0xb1014296,
+    0x7a62ce65, 0xeacf37eb, 0x7b5ca0c6, 0x2e6a94ec, 0xbc3b0766, 0x24b2aa3c, 0x2d7c1957, 0x5ca25a7a,
+    0xb9286fc8, 0x708fdaff, 0xe98c7439, 0x2935d04b, 0xe578a121, 0x9178cdb1, 0x1de66abe, 0x7c3fe412,
+    0xf4f67311, 0xeb4eb444, 0x8e4c3f91, 0x2014a2c5, 0x22d0ebbd, 0xeceaa517, 0x16382b11, 0x71a19086,
+    0x76a2fdf8, 0x9efa9168, 0xd4cfc2ba, 0x931039f6, 0x789d85e1, 0x9de53b9c, 0xa1e801f0, 0x5e4a6a43,
+    0xead67d3f, 0xdb017311, 0x420f738c, 0x9ef8d06a, 0x1515dfd9, 0xd26c33d1, 0x836ac20f, 0xb02470b8,
+    0x00000000 }, /* 10**-00000000000243886605493436893076687283577591117636609229895700871160871637470\
+                          73216709529418907189891430183531024686147899385989241370687309994439728955392 */
+  { 0x00000000,
+    0x3fffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d,
+    0xfdf461e9, 0x8be66bc0, 0x8588ab83, 0x17076d05, 0x52714bd0, 0xa7af2846, 0xdfea68d6, 0xacc03a73,
+    0x00000000,
+    0xdda21a47, 0x2da9b5db, 0x166283ca, 0x12f4d40f, 0x694630f4, 0x429fca1f, 0xfc7b3b07, 0x13a7b342,
+    0xf849627c, 0x0f515212, 0x08cf4d17, 0x31d60c9e, 0x3d6fbc22, 0xf5b9f502, 0x17563214, 0xf7e6f71a,
+    0xd726314e, 0xe25f1b2a, 0x16cca921, 0xac8da318, 0x8794d4b1, 0x37a503e5, 0x3fdb4f2d, 0xf04fb76b,
+    0x2c9ce673, 0xb70acbfb, 0x575db435, 0x639da01d, 0x7ff34d38, 0xba73d80b, 0xf8e3f2f9, 0x26ef6434,
+    0x72632fcd, 0x3974d22d, 0x1674c0f5, 0xfed29ed9, 0x4874f6d1, 0xb18444dd, 0x3aa1e38e, 0x192529c8,
+    0xd3741b50, 0xded20eb7, 0x25018f1a, 0x6a502f0c, 0x44389f0e, 0x0c7bc255, 0x9c90e00b, 0x91dd0d22,
+    0xef0e7fcd, 0xa21af3aa, 0x2e2ef1e1, 0x764376ad, 0x137fad23, 0x559fa084, 0x4893ccb0, 0xa7ab1479,
+    0xfbf9f072, 0xe8aa1e3c, 0x41dee45d, 0x4aec8da4, 0x1d88667a, 0x17589c3d, 0x08750de9, 0xa378ba52,
+    0x99ca71ab, 0xab010614, 0x30779b91, 0xe31277e3, 0xb0d555ec, 0xbf8ce8a5, 0x04a3fa99, 0xc2f47801,
+    0x6f3c42ed, 0xc63ce49c, 0x63de697f, 0xbdf71117, 0x15abaaa9, 0x7dcbf270, 0x52a2cdee, 0x5e3b36aa,
+    0xb777144f, 0x3bffd5f6, 0xb9d8367e, 0x51909ac5, 0xaeecba20, 0xdf749b69, 0xa00daaaa, 0x5dcaec58,
+    0x16d7314b, 0xcebbbf72, 0x4fff83e7, 0xf7f8c86c, 0x2c43f8cb, 0xf27c489c, 0x74d9bb6c, 0xf2278bb4,
+    0x19303e3c, 0x5d3a283d, 0xd8d262d3, 0x08c93e33, 0x05142cdd, 0x6a9b3823, 0x1d7ec19e, 0x6a874533,
+    0xa1f07d84, 0xff859e9a, 0x27d7f651, 0x973d82cd, 0xc75fd5e4, 0x04b002fc, 0x9d50bc8e, 0xd3cf82ce,
+    0x5a587680, 0x84915cca, 0xac60cb92, 0x5f5f8ecb, 0xfd10c339, 0x1ab5666c, 0xa357d879, 0xbd2790a1,
+    0x53f4cfd9, 0x3f6710e0, 0x550394f2, 0x3dd60d7b, 0xe40f1b41, 0x7630a17f, 0xc4b27ac4, 0x4f2f0685,
+    0x17bf923f, 0xeeb41e5f, 0x70bef7ae, 0x727e3dd2, 0xe5ff82a3, 0x2c091b0c, 0x4f9e74d8, 0xc6b1024c,
+    0x91be3523, 0x108fd794, 0x233535be, 0x124a008b, 0xd42cccf9, 0x41587b19, 0x34f68770, 0x76b81913,
+    0x391de4a8, 0x529c5b4a, 0x542cf03f, 0x811ec277, 0x21d6cb8b, 0xa7a95084, 0x4c61bcc7, 0x36da0aa4,
+    0x44f5fd3c, 0x173748c9, 0x0a760a66, 0xea8fda4c, 0xfea2b700, 0x6f434d32, 0x762b4e84, 0xa34b72ad,
+    0x1c5a7214, 0xe20c97db, 0x0fe6a646, 0xee6474d1, 0x950bc58f, 0xc8a13610, 0x7db2e393, 0xfadec3d5,
+    0xa5f38431, 0x532fbd2a, 0x6046f78f, 0x0e0a9fa3, 0x44491f85, 0x78074c88, 0x10bb48fd, 0xd44cd731,
+    0xc75a6f20, 0x7acc22c4, 0x7ad88d56, 0xb30d620d, 0x66ee1605, 0x381066df, 0x162976d0, 0x1d8e32a8,
+    0x1ba9d810, 0x8f794e68, 0x04de4088, 0x3a7be85e, 0x7357d196, 0x5b852955, 0x166ffdcb, 0xb529e271,
+    0xdbd72b66, 0xdb0b019f, 0x708f0ad1, 0xc528e210, 0xc810497a, 0x3f111e91, 0x705e35d6, 0x993087f2,
+    0x451a92f0, 0xc122eddb, 0x410da7c0, 0x48cc5ee2, 0x4aeba42a, 0x020d1271, 0x525ab7c9, 0xf5c6432d,
+    0x86f1a912, 0xbbdbbf35, 0xff4040c8, 0x70b83417, 0x9e4923b5, 0xf519c121, 0x097e1e5e, 0x03fbcec4,
+    0x1747ed65, 0x90a1c7bc, 0x252e3a2d, 0x2b16f827, 0x938a3167, 0x28ba4314, 0x7c7b28fe, 0xe7e6eb9f,
+    0xdab79d70, 0x73eaa324, 0x35de4af6, 0xfeb9104f, 0x48f8b835, 0x716f385b, 0x326b056b, 0x0917e05d,
+    0xd036cb3a, 0x8d8f319a, 0xfe60476d, 0x14086ae9, 0x4dd8ce85, 0x75bee22d, 0xebb69bbe, 0x9a04eb91,
+    0x29b66117, 0x393b4622, 0x161f437b, 0xd093cfe5, 0x6e23f12f, 0x46ecc2f8, 0x92dd6d04, 0xe4630397,
+    0xbd065398, 0x15a2c993, 0x6f302158, 0xb88e96ef, 0x4aedc7b9, 0x55a92607, 0xc2f60a7d, 0xca701cd7,
+    0x3409a50f, 0xb8723e28, 0xdfc115b9, 0xd2f57710, 0xaf6c9bc6, 0x2870c235, 0x163c731d, 0x0270bf50,
+    0x3ea4cc1b, 0x1dd0a757, 0xe562e9cc, 0x479dfe40, 0xfc8f55df, 0x1fef0b78, 0xd5db5054, 0xf7a4fa61,
+    0x2bfe0554, 0xf5ecba14, 0x1ab5a49d, 0xec4bd608, 0x37840418, 0x405fe7d7, 0x5029af29, 0x69d6f1c7,
+    0x3713f7c9, 0x5dbaf675, 0x4d95bdfa, 0x54e146f4, 0x7e755139, 0x99721480, 0xac36be0f, 0x42f1d2c4,
+    0xc6917bf5, 0x01086a3f, 0x751112d1, 0xc32b5a1d, 0x6377dc30, 0x13c67bd4, 0xab0ad5f6, 0x1c2fc779,
+    0x1cd1b13e, 0x816b314d, 0x42e11fe0, 0x8ba3285d, 0xab771318, 0xb5baa661, 0xab5edfba, 0x906ee20f,
+    0xd967ee6e, 0x30eb7a09, 0x5921413b, 0x897a1098, 0x9c5c184c, 0x9fc2f1b8, 0xa4c94de7, 0x82c53939,
+    0x4607ab6e, 0xa87526ca, 0x8421ff76, 0x0a16075f, 0xecce4d76, 0xa77b5088, 0xcc659288, 0x4cbea142,
+    0x2906f02c, 0xc30e9143, 0x4b45d75e, 0xf061f465, 0xd74d4a34, 0xcd629713, 0xdd2f1107, 0xe6049b78,
+    0xc576e88e, 0x994dc63f, 0x35f76d0d, 0x54c6f56f, 0x8dea818f, 0xfd5c1956, 0xfe6fc50f, 0x65adea23,
+    0x75c71f0d, 0x3b590583, 0x412b316c, 0xfd7fc94d, 0x50eb59d0, 0xe5a56fed, 0x747c8a3a, 0x85feb62f,
+    0xf920408d, 0xce9c178c, 0x8831f981, 0x01b498a3, 0xc6b8096f, 0x9f9554fd, 0x3727a459, 0xd36cad52,
+    0x438cfc65, 0xe557751a, 0xa57d836d, 0xa9ed3a2b, 0x846d8e14, 0xb21f64df, 0x741e5d67, 0x9a730f04,
+    0xb17abea9, 0xf38e9b21, 0xbf9831a8, 0xadd86b69, 0x2fbd03c9, 0x535153bf, 0xb8dc005c, 0x86ca6bbd,
+    0x08c8a668, 0x83bc61ed, 0x3c271dc7, 0xed5ea117, 0x2a7c3314, 0x63e823b7, 0xe0f0619e, 0x74ae3749,
+    0x37779352, 0x70cb2e23, 0xd636e084, 0xa02def39, 0xd9115644, 0xfbf33962, 0x29613750, 0x3df0daae,
+    0x6477921f, 0x128816de, 0x1c015861, 0xadfcdc72, 0x58b832be, 0x26329f9d, 0x1629f1d3, 0x51978a9c,
+    0xecf10059, 0x77eb8973, 0xcfcdfed3, 0xdab0c796, 0x463cc855, 0x1e5ee1a7, 0xc0a61bf9, 0x1df2f0cd,
+    0x6f3e7b47, 0x06c9ef0a, 0xd0f045bc, 0xa475d7c7, 0x55db5114, 0xccfaf0ef, 0xa27b29b3, 0x33c37d1d,
+    0x055bbb3c, 0xdc27919f, 0xdb42ac4a, 0x2df8e245, 0x51800fd0, 0xb3c34a8a, 0x4de4f6bb, 0x3c897df2,
+    0xb2c6aa35, 0xc6777f4e, 0x6659cd2c, 0x944bf6bd, 0x6283df3e, 0xed8e9db3, 0x4788f654, 0xc4cbafe5,
+    0x8b8504c8, 0xfe88dc51, 0x0568c829, 0xd9cebc78, 0x5708d5d0, 0x407db6af, 0xfcc8a98a, 0x6a5f6984,
+    0xaf02ffca, 0x306a906c, 0x3bf7750d, 0x7b641f45, 0x61df2714, 0xc4a1ce4d, 0x30219519, 0x885d8e7a,
+    0xf51273f8, 0x0552b75c, 0x906e1dda, 0x5f3278ab, 0xdaedb2bc, 0x0d9e0819, 0x09133ffe, 0x8d369cef,
+    0xc21edc88, 0x300182b9, 0x673ec0e3, 0x04935dda, 0xed91363c, 0x424ea20b, 0xe927ea40, 0x2227b8d0,
+    0xd20c8cb3, 0x901253ee, 0x1d8dc548, 0x2850fa84, 0x236f29d7, 0xdf5a7e81, 0x84443468, 0x9e547f0a,
+    0xff0f4ab8, 0xc89de511, 0x313d7008, 0x8f95808a, 0x7a8c98aa, 0x51046054, 0x3c80e5a9, 0xddf786e1,
+    0xbbe61ecb, 0xb66fb3dc, 0x29f3af0a, 0xe9ebcedd, 0xb6a8e213, 0x3a6406e6, 0x2e6745c0, 0x1aa0a4aa,
+    0x55ac58c8, 0x04b8403e, 0xef3db16b, 0x4f53edbf, 0xe94bedb9, 0x1fa2914c, 0xf591d777, 0x311b6fe4,
+    0xf1c19639, 0x2976cc9f, 0xcd785164, 0xd2c8980f, 0x4f832807, 0xb142effd, 0x89d58cc6, 0x32e543db,
+    0x93b440bc, 0xce0115be, 0x823a09be, 0xe8629771, 0x6689c7cb, 0xc6b067ca, 0xfed6391b, 0x599a34c8,
+    0x096fddeb, 0x565696fa, 0xb1a4015f, 0xd5e1554a, 0x8909c7a3, 0x8846149c, 0xd59a1d7b, 0xdc000d3f,
+    0x2fb2daa8, 0xc4d7cfbd, 0x3361cfa7, 0x309a473b, 0x282a0e51, 0x2e6e002b, 0x9a3135b4, 0x6553edb0,
+    0xc61ceff3, 0xae416f41, 0xbc799d12, 0xe8d4ac5a, 0x6891ce25, 0xc915a6c3, 0x94239493, 0x898a8d2f,
+    0x2233a577, 0x751026b9, 0xccc1829d, 0x397eb43d, 0x60e4f167, 0xcc93753c, 0xfd2edff3, 0xe23e3f67,
+    0x73e302f4, 0x74d16b8b, 0x1e550907, 0xa7be522c, 0xddca73ed, 0xc941bdfb, 0xd25c3ccf, 0x8e1f7365,
+    0xf22756e3, 0x7dc136da, 0xe5664e33, 0xc7330ea6, 0x19477711, 0xc989a7e9, 0x3dc864ec, 0x7534330c,
+    0x174fd3e7, 0x3549a4c4, 0xfc61581f, 0x5496bbc0, 0x1defe55c, 0x627a668f, 0x873394f2, 0xaa3080cb,
+    0x90d525c5, 0x188bcc78, 0x80f33cf6, 0x015c4d77, 0x9d1b475c, 0xa30ef2c9, 0xc8e1fbd2, 0x1bcf0f7a,
+    0x0a57326b, 0x19a320a9, 0x65c2bd46, 0x68b97a6e, 0xc81befb5, 0x2e72e258, 0xe1b3264a, 0x49c5ad5b,
+    0xccfe36a4, 0x5891d72d, 0x4879aa78, 0x5f9ffcd0, 0x26679292, 0x3c1e8be4, 0x1808e72c, 0xe69475e1,
+    0xe7bf5bbe, 0x17bd3cf9, 0x05a2c933, 0x46c2b051, 0xe7837097, 0xa0045cf9, 0xe3aa4921, 0xe157aa20,
+    0x03d913c6, 0x012349e1, 0x49158b3f, 0xb2f79abf, 0xee30d5cb, 0x4124ce2a, 0xd966757c, 0x73696833,
+    0x5014a867, 0xcad372dc, 0x44466623, 0x13319f95, 0xea390712, 0x2a233caa, 0x770e4b93, 0x23e0e96f,
+    0x9d5be007, 0xe4fc320f, 0x24be7b57, 0x46a0723e, 0x5482f3a2, 0xbe01798b, 0x446903cb, 0x7952ed66,
+    0x96ca4429, 0x3c6cec50, 0x8e24b4ca, 0x6b965ad8, 0x3da8c873, 0x87da0b1a, 0xea16a01b, 0x2f1b97a5,
+    0xfb1eb05d, 0x0d6c680e, 0x94d7795b, 0xb547a8d1, 0xe842cca4, 0xed15f7c5, 0xc60c680c, 0x7b82248a,
+    0x15bc9e9f, 0x50429660, 0x03d607df, 0x49578b34, 0xb194aca8, 0xaf558e92, 0x6b540967, 0xbc0da888,
+    0x80cb0de7, 0xa89609c1, 0x2b624fb3, 0x8d198dd1, 0x01dce98a, 0xf58fc894, 0x0c3bf73a, 0x8f262a39,
+    0xb0bdb689, 0x86d2bcf6, 0x308da49d, 0x9e4ed9aa, 0xff535e40, 0x4a6e0dd4, 0x474d0637, 0xc80fc1cb,
+    0x0f8823f0, 0x2d265ab6, 0xb3b7e89d, 0x08f52478, 0xcac2e496, 0x0d23b38c, 0xd0de4ce7, 0x0a759fe3,
+    0x13dd9934, 0xf3ce6f88, 0xd110120c, 0xd6ffa395, 0x3dd151a6, 0xf51951c0, 0xfde3142c, 0xbfa86ef9,
+    0x21d0fad2, 0xa188ea50, 0xfde9bf38, 0x467b0a51, 0xee94aa94, 0x204227f6, 0xf9e4bdce, 0x77f30628,
+    0x6bd7d51c, 0x4b207de6, 0xf180ffbb, 0x8a0cee46, 0xb1388128, 0x3e0ff56a, 0x94153cb7, 0x74629534,
+    0xeda4a1af, 0x5a27014d, 0x6d1aad0f, 0x57ef52c0, 0xdb5f8528, 0x37cfc43d, 0x95da029a, 0xe1966bdb,
+    0x83d77498, 0x243e8575, 0xec22c0a3, 0x103bc384, 0x1fba2cf0, 0x73884bfc, 0x2f6d48e9, 0xeb22003c,
+    0x12cbcd0a, 0xf2fe437b, 0x7b032504, 0x8846ebb6, 0xe1bd97eb, 0x9d44da05, 0xf5abba21, 0x60d4b1e9,
+    0xf83b9ed3, 0x039898ee, 0xa7052850, 0x9a5e39ea, 0xb5403513, 0xdc44f319, 0x101ede51, 0xe61d7c01,
+    0xd5eeaea0, 0xca05f390, 0x1e7e8a49, 0x5968db9f, 0x85324638, 0x6d477a9c, 0x975f4293, 0xf8ed0824,
+    0x79c32170, 0xc10f75ac, 0xd654ec40, 0x86b68996, 0x343a29cb, 0x41f4cd48, 0x71a54b78, 0x962f9da5,
+    0xb03f419e, 0x65eab40c, 0x39a629af, 0xdbed202f, 0x3bdaca75, 0x57875f28, 0x59008638, 0x5dad8ce2,
+    0xa350e2b6, 0x082f4dab, 0xde4dd5ad, 0x82419e4f, 0x8c2bf4ba, 0x0d57f6fb, 0x03872e6f, 0x42b755b8,
+    0x50382c9e, 0xafcd68e7, 0xd345c219, 0xbb553671, 0xb04d9a0f, 0xf6175e18, 0x0bc58f27, 0xfa90e574,
+    0x7bc5a90d, 0xf7424e42, 0x218987f3, 0x160dddc3, 0x4623afc1, 0x4254e9c2, 0xe99d0d92, 0xba4513e4,
+    0xee29b6c1, 0x8939c03f, 0x57d65eec, 0x37ff3929, 0x80388f30, 0x472b87ed, 0xd0967529, 0x4e455222,
+    0x93a55473, 0xc18f2a02, 0x8f85e883, 0xd3f63931, 0x4dc89ec8, 0xf3744ea1, 0x14eec001, 0x2d8f3d5e,
+    0x06ffc9e3, 0x4ada3624, 0xc9966a6b, 0x653c3ff2, 0x979d9861, 0xcaa77e8f, 0x9375ee3a, 0xf7c42261,
+    0x67c893e4, 0x8a06a0c0, 0xa122f37f, 0x5a832707, 0xbf72d38b, 0xf0c31fe3, 0xdd4c7352, 0xcc8c6f53,
+    0xf09e4677, 0x3fefaace, 0x3cba2d1a, 0xf4f03383, 0xf0ca77b9, 0x42e6a476, 0xb461ed8d, 0x128bc083,
+    0xb601365e, 0xe71c3bd2, 0xfa2cc877, 0x2654c326, 0xf1d7b285, 0x542eda07, 0x46268fb1, 0x5812171f,
+    0x146304ac, 0xebf52c81, 0x99e37d8e, 0xf3ce872d, 0x8f27ca08, 0xb70b6c5e, 0xf941e1c8, 0xad230381,
+    0xe2d4284a, 0xa6ccb0ff, 0xfa6ce522, 0xfa5c8f0e, 0xc23fd085, 0xc7242105, 0x49332e1e, 0x56e2e174,
+    0xa7849250, 0x7353a28b, 0xd6339a91, 0x98785a4a, 0x2e5162ee, 0xf0172047, 0x8973a8eb, 0xa8a7c5ca,
+    0xcf2a5953, 0xd94b336c, 0x1521cad0, 0x9df3884f, 0x110dbf0d, 0x93604c4e, 0x50236ace, 0x3c7173dc,
+    0xed32e874, 0x83d5ca45, 0x202e7f76, 0x6eec8d06, 0x47307928, 0x8bd22ac8, 0xe0348bef, 0xbf1ffdbd,
+    0x222c0622, 0x1c73b690, 0x2bd4a124, 0x16e2788b, 0x62163740, 0x5b454912, 0x9f84a45d, 0x30f79b61,
+    0x2efdcb2f, 0xe36207a9, 0x6495d20e, 0x730b21c2, 0xc606eb0a, 0x1ea52582, 0xadee2e7f, 0xdc3825ed,
+    0xca56d834, 0x2cb26ad3, 0x22e5459e, 0xd59538fe, 0xcd63c106, 0x03d2ebeb, 0x848b99e2, 0xd9411184,
+    0xc0f3c222, 0xa1b220b7, 0x3e6316b5, 0x8a3e67f3, 0x817191bc, 0x2e641b2a, 0x0cb74186, 0xe0b97ddf,
+    0x13bdfeb8, 0xa5999c3b, 0x320bfe43, 0x7543a4b9, 0x27e39148, 0xa6787909, 0x7cd9330a, 0x2d1f7262,
+    0x1f863f8b, 0x758a01e1, 0x4aa94f41, 0xc6770626, 0xd92d3a09, 0x6250b90b, 0x10f57ea6, 0x1f1e53a3,
+    0xd65cc5b4, 0xd611b95d, 0x28de3df8, 0x1f10498c, 0x7510c934, 0x639d40e5, 0x75ee43b7, 0xffee887e,
+    0x9d90b041, 0x6bd46d7b, 0x67039679, 0xf240acdb, 0xae453064, 0xac243f23, 0xf97c2ff1, 0xb922c287,
+    0xede9e0a3, 0x551a14b1, 0x28de47ee, 0xe54e19b1, 0xabf125d2, 0x5b37051d, 0xc765c975, 0xe93efeed,
+    0x1d86ec51, 0xe4882b79, 0x28b7a34f, 0x4d03ed57, 0x3fbd12cc, 0xcaecd2e0, 0xee462c31, 0x1caae707,
+    0x7e9a3f14, 0x30178eb3, 0x202fbf02, 0xe1083ad8, 0x1d68486b, 0x2acdc778, 0xef441f39, 0x5675e856,
+    0x8e8028c4, 0x8517354e, 0x9addf341, 0xa846b3a9, 0xb9e8bcba, 0xc3b0eb3e, 0x1fee7d23, 0xd2ee060b,
+    0x61706c31, 0x0249e180, 0xdbdf1c90, 0xc2dc9619, 0x251526ac, 0x109fa07d, 0x3bcf609f, 0xa717de65,
+    0x3f9f16e7, 0x5d6555c2, 0xa2c4785b, 0x22f57a50, 0xbe917980, 0x92b8e915, 0x168d8907, 0x903222c1,
+    0x5e94d4da, 0x0a576651, 0x8d68a9c9, 0x166a1777, 0x21aca195, 0xddeee217, 0x7f2f31bd, 0xb82adbde,
+    0x794864d1, 0xa65317b4, 0x1c3e3149, 0xf1e7d61c, 0x762f3658, 0x2fc9c84b, 0x7f864aac, 0x81f86126,
+    0xe361b484, 0xb5dfa4b4, 0xd1db72a1, 0x5ef3be82, 0x2dbc4307, 0xcbdca3b1, 0xeb839c79, 0x76ba60e5,
+    0xfbd60083, 0x7c2afb3e, 0xae481a26, 0x8da46382, 0x1de828bd, 0x576fa776, 0xc2044317, 0x1bc9999f,
+    0x46ede2ba, 0x9e4272c8, 0x27d6599b, 0xf474f396, 0xf0a0878b, 0x2b36d58c, 0xda21398a, 0x790da18b,
+    0x00000000 }, /* 10**-00000000000121943302746718446538343641788795558818304614947850435580435818735\
+                          36608354764709453594945715091765512343073949692994620685343654997219864477696 */
+  { 0x00000000,
+    0x3fffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6,
+    0xfefa30f4, 0xc5f335e0, 0x42c455c1, 0x8b83b682, 0xa938a5e8, 0x53d79423, 0x6ff5346b, 0x56601d39,
+    0x00000000,
+    0xa86e5fa8, 0x90ef0e6b, 0x90f0dbf5, 0x636e2d23, 0xd88b6aea, 0x549e71f9, 0x17b12c7f, 0xf61d9ca8,
+    0xd1e0a416, 0x63aa887d, 0xe6f8fd92, 0xe5642c85, 0xe38c3a99, 0x122439c8, 0xc900e749, 0x382a6b70,
+    0xeb894a4a, 0x2c5485c4, 0x4d826231, 0x86e00435, 0x2a3d7510, 0xfce61b0c, 0x6f87b8a2, 0x282a3db3,
+    0xfa894ff4, 0x38d4e066, 0x002b7600, 0xc5bed6a8, 0x1c61c927, 0x7654bc6b, 0xbca60466, 0x7572e6b0,
+    0x204e71b1, 0xb3848053, 0x8c753fb1, 0xc2d2f26e, 0xfef80130, 0x8f1939bc, 0xc40f7d57, 0xf44c6dab,
+    0xc7aff97b, 0x759b59bd, 0x6968b3af, 0xd60db4f6, 0xc3aecb4c, 0xcac8bbc2, 0xa444acc6, 0x3bc57783,
+    0x09a98090, 0xcfad9f43, 0x23b6a9cc, 0x6daa7f9b, 0xf496b139, 0x0a2616e6, 0x3f68261f, 0x1c9d388e,
+    0xe2fa4650, 0x94b1e20b, 0x9b58ae8f, 0x39c1951b, 0x8ca3a357, 0xa97c6f78, 0xce5b0e62, 0x948ae7e3,
+    0xfd264328, 0xbbab4401, 0x9ddc9594, 0x80a13ed4, 0xf8909c71, 0x921d7618, 0x24bb8fa9, 0x03d35999,
+    0x104e2171, 0x8b251625, 0xbdd5139f, 0x3939afc6, 0xdfe5a540, 0xa2cf7581, 0x7de9a788, 0xd49cedf5,
+    0x221cf390, 0x2edfcfe5, 0x9d1e4afa, 0x64d09cb5, 0x3b475a68, 0xcf6889e1, 0xe703e8be, 0xc121b75a,
+    0xa71d7437, 0xc2f37e63, 0xb767f60c, 0x33f8a310, 0x48436d46, 0x33de88c4, 0xa9ea0c71, 0x13481417,
+    0x1a71a1b8, 0x2b94dbb5, 0xf4068932, 0x910c6196, 0x7f1f4ae0, 0xd0705fa9, 0xc8a2e89a, 0x58052406,
+    0x03f407b2, 0x7e20e3f0, 0x93f374b3, 0xf8d3d4f1, 0x32145a1f, 0x96582281, 0x3cd5e98c, 0xf303118d,
+    0x45048471, 0x2ced909b, 0xc06d267d, 0x6349b010, 0x474481d0, 0x27b03c63, 0x55dc6222, 0x39f0fda1,
+    0x7a153d8a, 0x5cbb79a9, 0xb0c0b442, 0x1e7805ce, 0x30b514ee, 0x9dbe4e81, 0x0042e3cc, 0x80696aa5,
+    0xa44d5e59, 0xbd725173, 0xe8173c42, 0xf6af37ef, 0x10373b40, 0x7aef509a, 0xafd09541, 0x2cecbda0,
+    0xc1b4f0a4, 0xbc886f0c, 0x7c7c72a9, 0x07d7fe3c, 0x46dedc4b, 0x7a2c4303, 0x7dded5b3, 0x71e629e7,
+    0xda5f9287, 0x84799575, 0x50ba71ea, 0x34d4e97d, 0xc52872c5, 0x32a4c15a, 0xf6101a4f, 0xeccc63c9,
+    0xaa548fc2, 0xc5590463, 0xd4e2d51f, 0xb05e683a, 0x687532bf, 0xe79d42ef, 0x7cabc4c4, 0xcc81820e,
+    0x7fc6b7ec, 0x98b407f3, 0x3399ef9b, 0x88c630af, 0x94291b05, 0x7f693a56, 0xae199e67, 0x5a09385b,
+    0xebe062d5, 0x0ab7a1f4, 0x1aced180, 0xfe7b4863, 0x85eaf532, 0x095c2d47, 0xf34be7ca, 0x9e7e23c9,
+    0x8a6440de, 0x368e0e76, 0xaa35f572, 0x7f1e3c37, 0x744da5d6, 0xbfab016b, 0xf68865bc, 0x7ac3cbfc,
+    0x5fe95a7e, 0xb7775228, 0x84f19240, 0x0dd2a16d, 0x5974403b, 0x0a003c65, 0x17502dcb, 0xc30167a7,
+    0x792f5b8e, 0x6d4b7d7a, 0xf4a7a318, 0x8f7da900, 0x1e81ea86, 0xc264b242, 0x79ebb353, 0x52d2b462,
+    0x04055ed4, 0xc3ccd6bb, 0x6f242720, 0x535bfbaa, 0x10d0ed0f, 0x6c952741, 0x12b94b1b, 0x6c725f28,
+    0x1dd25524, 0x6525b6a7, 0x2dbcbdf8, 0x9746ecc0, 0x75346b42, 0x65c0b641, 0xd5a9df29, 0xb4dc08b2,
+    0x130f4a10, 0x057fd7c4, 0x6a087b8f, 0xf6149b66, 0xa1dde05a, 0x06e0f52a, 0xe8e98f80, 0x377243ca,
+    0xa2864a19, 0x2c325654, 0xb56e12a2, 0xa0a5ab52, 0x1f297f9e, 0x86762239, 0x56b27b1e, 0x52b056e4,
+    0xe4640c3c, 0xf35222c9, 0x07424e52, 0x8e88abfc, 0xcd30741e, 0x8148bce0, 0xffade9fe, 0x31087266,
+    0x882cbe60, 0x00a42cd4, 0xa7a135c9, 0xeac39389, 0x41b43847, 0xeac237aa, 0xe1fe151b, 0x81002376,
+    0x7fe247ed, 0x109c4ce7, 0xf4bff0ef, 0x396a2839, 0xf66cb36b, 0x0fae2236, 0x1095533b, 0x5d08b26d,
+    0x6e729076, 0x14531cd1, 0x3a606626, 0xd5bf1291, 0xcd4e66cb, 0x4bdf88ad, 0x5768e3dc, 0x59c77a65,
+    0x2b435edf, 0x4c1a9eb7, 0x79d6c628, 0x8ce30db6, 0xdd753f96, 0xa1237a9f, 0xeb4ad8b8, 0xbba5b1b1,
+    0xb30976f2, 0xda37d9e8, 0x73a66713, 0x77d96e1a, 0x53a638b9, 0x9c9016d1, 0xbdf74cca, 0x0231673e,
+    0x20f931b1, 0x976dda50, 0x3bd168ec, 0xfd9a1b6a, 0xae4304ea, 0x8f37c676, 0xb03dd1cb, 0x99601251,
+    0x6d4544d8, 0xcafd6ef7, 0xea88a36d, 0x4e56ebce, 0x517d9ad4, 0xa3d42753, 0xbb26bfc8, 0x23e32b11,
+    0xfac575ab, 0x8f9ff336, 0xebc3ad39, 0x78374156, 0xc6576b2e, 0x6682bd7d, 0xe5f96dbc, 0xa84c4a74,
+    0x0b4d10a5, 0xd0255c79, 0xce7c85b3, 0xa0e6df43, 0xecc40235, 0x0bc45fbb, 0xcefc76ba, 0xed22948e,
+    0x91612018, 0x487770eb, 0x44285f0e, 0x4245334d, 0xf447434d, 0x24b53284, 0x19afbbc8, 0x8e3fe88f,
+    0xef5d5610, 0x78a3b2aa, 0xcd486344, 0x1ec5ac68, 0x7d8a6f1f, 0x953b9a99, 0x38099b2e, 0x05abd1cb,
+    0xeadef236, 0xda3a42e2, 0x272b9c35, 0x5eab77e5, 0x89fb572b, 0x612a14ba, 0xc7eb4b8f, 0x390899c0,
+    0xcae545d4, 0x536dc9bf, 0xaf3af501, 0xedc9cd0e, 0x9dc6861e, 0x084f7502, 0xedb65f64, 0xde654c81,
+    0x5df952b5, 0x055f07e4, 0x7e9c901b, 0xaefcfe13, 0xccf1eb0b, 0xee6a0491, 0x9fc0a7af, 0x24797c1c,
+    0xed500400, 0xd206a836, 0x59278b63, 0x9cd8dd1c, 0x125bbbd4, 0x6be6418c, 0x295b0bf6, 0x0ac04a7a,
+    0x35ece152, 0xf645dd69, 0x7afd5f00, 0x8a206eca, 0xd9d0a76b, 0x2ec65c21, 0x74ded2d7, 0x2777e61b,
+    0x2db14083, 0xb901d65e, 0x3e2536aa, 0x922bc374, 0x0c54bc21, 0x31fdb007, 0x13a514cf, 0x8c5b5a77,
+    0xaadf92c3, 0x5dd4fe45, 0x701ebfa6, 0xeb59b989, 0x1192f801, 0x85795e7d, 0x09af50cc, 0xaa1a2c09,
+    0xcaae7a52, 0x70f89488, 0x1399421e, 0xe6d5489c, 0x4115c0f7, 0x896bdee4, 0x7dcafc9a, 0xde4cc22d,
+    0xcf012443, 0x409971dd, 0x19e1b613, 0x4eb8b267, 0x11f0b98b, 0x490f441b, 0xf3b8b209, 0xcae96a82,
+    0xf853fc45, 0xdf46c9dd, 0x7b3b5472, 0x1fa8e583, 0x84f3199b, 0xad1c5a98, 0x489143d4, 0x5ec998ff,
+    0x2c197a86, 0xf24044a8, 0x6fefaaef, 0xf4ba9300, 0x0dba4fd0, 0x6a27be1f, 0x117494b7, 0x92885caa,
+    0xd14d2d4d, 0x814ddf36, 0x3a7e8d22, 0x63592942, 0xb677c135, 0xbfd2bc89, 0x3b4c638b, 0xe028fabd,
+    0x6156e225, 0xf87f922d, 0x48ab1504, 0x84bdfc6b, 0x40827b2f, 0xef418b1b, 0x31d0bc45, 0x91fb9886,
+    0xb4b38494, 0x6ec599fc, 0xd0b4c6cb, 0xa58fc09e, 0x7e95ea91, 0xdc8af6a8, 0x45200827, 0x32d5a31e,
+    0x36b9bf03, 0x68b357f7, 0x703766cc, 0xfc09b124, 0xe0878597, 0x2921866a, 0xbd389f36, 0xb1519d60,
+    0x832c474c, 0x2a54cd48, 0x52439cdd, 0x601f83be, 0x2b56491b, 0x72ad64d3, 0x13e69b1d, 0x35ff4453,
+    0x38b08845, 0x7e2a644e, 0x68881664, 0x17831a79, 0xdffb0339, 0xc011801e, 0x0ccaaf8c, 0x36d73c5e,
+    0x1dc145e2, 0xf8b6f9bf, 0x6a035b26, 0xe24d7a1f, 0x60fe2f11, 0x22647753, 0x5f05b9e2, 0x32595025,
+    0xa18b5c95, 0x48501fbc, 0xe849a79c, 0x6a889818, 0xf124c2a7, 0x6cff93e1, 0xe2f5d0a5, 0x084ce325,
+    0xdc7b191a, 0x9d1aa39c, 0x1d46ce97, 0xc7f835f6, 0x08a13fe7, 0x2f229904, 0x1a0c5c72, 0x7e076ac5,
+    0xe44cebf3, 0x09894afa, 0x6c596175, 0xf9c16779, 0xcf95b8f0, 0xbbda69c5, 0x3f663e62, 0xe1187443,
+    0x563e9172, 0x836ff0e9, 0x31716fb6, 0x9d09b892, 0xd24b96e2, 0x21d4daf3, 0x5ce8b6b9, 0xdaa6f83c,
+    0xf5d6f4ac, 0xf75b3001, 0xe9569d21, 0x5a2c775f, 0x6a6bd98e, 0x0213a3de, 0xb51e6f8f, 0x7595a41c,
+    0xe2c98274, 0x07ed46d8, 0xcdd3d9af, 0x9f9abc66, 0xf66f3057, 0x721aafae, 0xbc4ceea4, 0x4a678636,
+    0x951e8a2a, 0xbae80edf, 0xcdc29db2, 0xae31996c, 0x311a928a, 0x67b430e2, 0x84b1aec6, 0xa7699233,
+    0x947e01dd, 0xf8dcd1b2, 0x6f398bf3, 0xdbbb92e5, 0xc3fdee64, 0x02ff503d, 0xe6f651cb, 0x1be93969,
+    0xaf3f6f88, 0x79d004f3, 0x90b02088, 0x679e97cd, 0x658ab673, 0x68fa6bf3, 0x159b0b0f, 0x40991615,
+    0xaa3cdf90, 0x1e0305e8, 0xa081e12e, 0x4a7c5dd2, 0x43302e86, 0x1a7ae965, 0xaafc37b2, 0xf55f0624,
+    0x0efc8420, 0xe6abb14e, 0x0161035f, 0xf348a6e4, 0x5d6ffc80, 0x251d9723, 0x3c2c19b6, 0x62e236b5,
+    0x8526919d, 0x166fc770, 0x1d891350, 0x08b9849c, 0x6734cfa2, 0x3187e8bf, 0xd81c6439, 0x5fa85f2b,
+    0x9a043719, 0xb4a17342, 0x55a607ae, 0xb95a5fed, 0x5a3c5346, 0x54dd3dda, 0x85a4bbf6, 0x6acc5845,
+    0x53d6b708, 0x839a2f26, 0xfa3228de, 0xf71ae8a7, 0x2c8cee25, 0xdfddf4ff, 0x2c765615, 0x7b1210c1,
+    0x71e271b9, 0x5a26fa5a, 0xa5fb97a6, 0xbf435d26, 0x6b3f111d, 0x508fbbfe, 0x2bcdd56f, 0x34539f28,
+    0xa95bed76, 0xfec65045, 0x6f38ea4d, 0xf1206e54, 0xec43dd8d, 0x4485ba4a, 0xb65e5a3a, 0x28b5740c,
+    0xaccbd71d, 0x78545915, 0xd848231a, 0x664988da, 0x8b6fe98d, 0x8cf0712a, 0xa51d470a, 0x627a089e,
+    0xf86ce4d4, 0xa0cdb473, 0x1802ee5c, 0x9afedf59, 0x9b1db475, 0x8f3ff828, 0xe9c3b41a, 0x13cb3004,
+    0xcd6cacc6, 0x32c09503, 0xcfc496d0, 0xa7ce7fbf, 0xd0e4ed78, 0xe2a9e3c4, 0x784b1a81, 0x2916e91c,
+    0xed37eb2a, 0xddacb80e, 0x3f02ef78, 0xf000cd6c, 0xada69d9e, 0x62d61dfd, 0xe88819e8, 0xded8d7fd,
+    0x053ccc68, 0xaaae6bf6, 0x3a7f98d3, 0x8ad26eb5, 0x3e5469d7, 0x2bb6279c, 0x036d7b8b, 0x88d95d3f,
+    0x78f089b2, 0xe46d6925, 0x82a4485f, 0xce49cdb7, 0xe42e019b, 0x3325b2f1, 0x088d5462, 0xb1e6c0e0,
+    0x3b21e1bd, 0x59cfe0bb, 0xdb5bcd1e, 0xbf9b6cca, 0x85263b3e, 0xa4810bb6, 0x79898e22, 0x613abd0b,
+    0x5f9fdba1, 0x9cb8f55e, 0x593e707f, 0x23f2cd00, 0xe7a26edd, 0x4f359c00, 0xbd7395a4, 0x5b668059,
+    0xfd3d3771, 0x3111f0a1, 0x500bad36, 0xe4b7be3d, 0x08d5f53c, 0x7fbe78a9, 0x4691f9ea, 0x2abe8f7a,
+    0x2e5c4e26, 0x9d91efe3, 0x00bf6423, 0xd689659f, 0xae9a5621, 0x2c0efb8a, 0x64f360dd, 0xacafd77d,
+    0x635ebf54, 0x38961c25, 0x2e421a1b, 0x3e9a6f3b, 0xcc1732d2, 0x5319ffcb, 0x1398036f, 0x28d9c9c8,
+    0xbd158b5a, 0xb2b52319, 0x95e334da, 0x6702543c, 0x1ed6cb1a, 0xdf84323a, 0x1a5c832c, 0x606a3a89,
+    0x41bc6da8, 0xd2a0edbe, 0x0fb80b35, 0x303aa142, 0x8630bb9a, 0x607219ba, 0x78566d8d, 0xfd842872,
+    0x5899a019, 0xa31e4fe3, 0x0e621715, 0x6e18b8ca, 0x4235946f, 0xbc9d0a6c, 0xc6a13d7f, 0xcbbce5cd,
+    0x083aa631, 0x1602a24b, 0x69fdb27a, 0x7ad38f1c, 0x76b979a2, 0x61aa6c0b, 0xf9e6c594, 0x8bfc69cf,
+    0x8e679af0, 0x5ce1af49, 0x7e40f043, 0x405fa17e, 0x6365aa6b, 0xdda586c9, 0x44683c0c, 0x9c2a6be3,
+    0xf2a89bc1, 0xd8324cd2, 0xdf2cf602, 0x44ee6adc, 0xc16ebb98, 0xec138595, 0x0e52997a, 0xc63280c9,
+    0x94d40c3f, 0x6c5438f8, 0xcba4caa3, 0xb0346adc, 0x3497c740, 0xf31463c9, 0xe595277b, 0x5918ede3,
+    0x5f92e279, 0x6e0831da, 0xbd4e42b3, 0x6a718b2c, 0xc144737a, 0x5edc1e3a, 0xf483819f, 0x279b982e,
+    0xb4261879, 0x3aaae30b, 0x9a154f99, 0x657dd231, 0x6706771a, 0xd8e8e48f, 0x44519242, 0xa9151e72,
+    0xeeb202e1, 0x769cc46f, 0x6878082e, 0xf2f5f81e, 0x300c505c, 0xe1bdc5ed, 0x342e6184, 0xdc33f8b9,
+    0xa2c6c9e4, 0x4eb7653b, 0xb86c5ab8, 0x7508e53b, 0x19fe0187, 0x20f99bf0, 0x0295dc0b, 0x6aade312,
+    0x0d1ac891, 0x15af7956, 0x867c1591, 0x62158382, 0x835ac78b, 0x8316b00b, 0x0b500795, 0xd9131f53,
+    0x5566d899, 0xea0c3a81, 0x2d7c66f8, 0x32589250, 0x2b6f91fb, 0x3084490f, 0x3bad17d1, 0x997ae9f4,
+    0x6332d739, 0xbfa5412e, 0xe94323f4, 0x4ce33dea, 0xe21d80cb, 0x81f32f79, 0x1546b589, 0xeb222efa,
+    0x16b37ec5, 0x81d37aad, 0x46491765, 0x995d83e9, 0x857cfa87, 0xa34fe1f1, 0x663cacd8, 0x16c47bfd,
+    0xd2c012cc, 0x341c3f99, 0x31b8467c, 0x02fdae4d, 0x30fe5965, 0x569165dd, 0x68734c4e, 0x58db0f39,
+    0xac5a43b9, 0x5f57b97e, 0x1a3005bc, 0x2542ca33, 0xa30f8bc0, 0x8d25f942, 0x59cdffc7, 0x450ee364,
+    0xe160a39b, 0xfe8b0221, 0x3f1fbbbe, 0x2ddfb4ad, 0x62c0a1c3, 0x12dbc756, 0x332955d0, 0xa4b5b076,
+    0x48b7049f, 0x5f0fc62e, 0xafe4b5bd, 0x3a96a4e1, 0x16a1126c, 0xdde0c124, 0x24ce4fae, 0x59fa7625,
+    0x5d7207ab, 0xc172e87b, 0xb53e204d, 0xcbb5bd3f, 0xd78031d3, 0x8297c70a, 0x64595dbe, 0x3a2f108e,
+    0x06b7bdc5, 0x528c8ae8, 0xa10b7af0, 0x074678b6, 0x5bc34b8e, 0x5d8fa2b4, 0x10b18e3a, 0x7e452674,
+    0x9d22dcec, 0x491bca4f, 0x95a25e59, 0x7a72fe7e, 0x7f4a6f1d, 0xc86ec0bb, 0x2ebef690, 0x86f28201,
+    0x4d9143df, 0xe82f038a, 0x31528fcd, 0x3b6063c7, 0xecba1701, 0x8adbf21b, 0xed374f76, 0xe803f95c,
+    0x7c618cd6, 0x42807567, 0x05c229a0, 0x297c1504, 0x884d75aa, 0x26c5e81a, 0x25ed5fba, 0xad31114d,
+    0x8a52f78c, 0xb507cf74, 0xc3405670, 0x9749e654, 0xe1c170b5, 0x1c512ca6, 0x9c808f90, 0x528a58b1,
+    0xff615dd7, 0x7b7e0e61, 0x9f1713bb, 0x8d5b8769, 0xb92c99d9, 0xb691dd55, 0x26336ada, 0xaed22613,
+    0xf159b643, 0xb936315f, 0x784a6b4f, 0x32f82464, 0x88e342fb, 0xcc2c4cde, 0xd639fb63, 0xb5d3a88f,
+    0xccad7d8c, 0xcb8e5aba, 0xfbddef18, 0xf41611fd, 0xcf264392, 0xd4326c1d, 0xb3a51dc2, 0xe86ea088,
+    0xab3ff058, 0x21c43161, 0x7523de53, 0x625449f2, 0xbfa35a7f, 0x0e19b36a, 0xa09b4525, 0xa3071bb8,
+    0x8d6efe9a, 0x3ce41855, 0xdeca902a, 0xc38ac4d5, 0x31b4e644, 0xd73a5764, 0x322cdfec, 0x151328c6,
+    0xd610963c, 0x8e2399c0, 0x4ea438cd, 0x55e9c9e0, 0x988e32c1, 0x614859da, 0x4066c91b, 0x5a837099,
+    0xc465e5e9, 0x23862379, 0xf3e1d484, 0x5fa614d0, 0x9bb58da6, 0x5da480af, 0xfdfd6c0f, 0x66097da8,
+    0xa179c9e9, 0xb9466e57, 0x8e9fabea, 0xb7a8930a, 0x6cbec7ad, 0xdbd08878, 0xd0467380, 0x3d11afba,
+    0x3d1cf28a, 0x29a13418, 0xa8ca589c, 0x2ed3a108, 0x5bf14578, 0xc6e92dcf, 0x2d9e8274, 0xadd0a149,
+    0x5725098e, 0xfcbd59fb, 0x6211b319, 0xc055f3bd, 0x755741b9, 0x84b4b83b, 0xeaf6fd81, 0xf4e5760a,
+    0x08b94e34, 0x40ae780a, 0x5adf1c26, 0x1c98df96, 0x7c87212e, 0xe9192756, 0x9263a303, 0xbaf6c694,
+    0xcaf731e6, 0x1e588f5c, 0xcd2cc4f9, 0x38414ada, 0x9da26609, 0xa701c04c, 0x57d9ab4f, 0xb136f6bb,
+    0x83c78b3b, 0x5828135f, 0x122bc64f, 0x9da044e4, 0x1de92bd2, 0xc7ce0356, 0xc672412b, 0xd5ed6e9f,
+    0x9b1c090c, 0x784acbb5, 0xe6e77008, 0x843f54a6, 0x9df9bb41, 0x67a09b66, 0x06a96231, 0x6ab994c2,
+    0x5218f7be, 0x3224e857, 0x7737cff5, 0xd91192ad, 0xa14da8ed, 0x93bb3742, 0xcba245ef, 0xa6f54b17,
+    0x00000000 }, /* 10**-00000000000060971651373359223269171820894397779409152307473925217790217909367\
+                          68304177382354726797472857545882756171536974846497310342671827498609932238848 */
+  { 0x00000000,
+    0x3fffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953,
+    0x7f7d187a, 0x62f99af0, 0x21622ae0, 0xc5c1db41, 0x549c52f4, 0x29ebca11, 0xb7fa9a35, 0xab300e9c,
+    0x00000000,
+    0x92d499a9, 0x92bdaebf, 0x9bc7adc4, 0xcf599549, 0x330dfe8a, 0xde5be60e, 0x9b6291ff, 0xa7996bbb,
+    0xcc73539e, 0x6f848391, 0xa4ca009a, 0xa4084891, 0x7a5552b6, 0x03606719, 0xab2cdf6c, 0x2333ea58,
+    0xd3e19204, 0xe809cc33, 0xa6d65dee, 0x2e4cd45d, 0xd1c9804c, 0x892e2906, 0x5ac283f0, 0x1f674f20,
+    0xb55163b2, 0x2f41b88c, 0x61975e01, 0x6df4a493, 0x6d8e6aaa, 0x94018459, 0x5a7f8262, 0x3c143bdf,
+    0x2cb38ebf, 0x3242cc00, 0x7be6d844, 0x7a0b1382, 0xdd04f7bd, 0xc6300e2e, 0x9ec5d5bc, 0xd463b647,
+    0xb518c57e, 0x8a746cfb, 0x71969f60, 0xacbc625c, 0xa05cc34d, 0x67a43d45, 0x94357e1d, 0x094b52af,
+    0xcfd997ec, 0x37fbfb0a, 0x8795a4d1, 0xd50ec07e, 0x75f641bb, 0x9391c476, 0x3cb4a5a7, 0xe62fedfb,
+    0x641f66ea, 0x0903d8c8, 0x66c0ebca, 0xa0b7ae83, 0xf8a33209, 0xb09eba10, 0x8343a4f4, 0x7ea5297f,
+    0x44478155, 0xa409767c, 0x534b9625, 0xab791b2c, 0xd6a92acb, 0x394f8642, 0x2c56ba91, 0x4fc9c1c1,
+    0xd1253011, 0x797f22cc, 0x6e77af42, 0x141906ef, 0x41e724fa, 0x4b1e80ab, 0x73d3c2bf, 0xa4971da6,
+    0x2037eadd, 0x18ab61c3, 0x25797259, 0x390d91e4, 0xdf7f096a, 0x0d7cdadf, 0x642078ab, 0xfffd7299,
+    0x2e83c03b, 0xb31d9354, 0x5f770058, 0xc4a3dc8e, 0x1f1570e5, 0x1bb5b084, 0x944db29b, 0x62132816,
+    0xb573c05d, 0x0f70794c, 0x0d2ef786, 0x1c8ff21e, 0x0b006b52, 0xac6fb7b8, 0x0379746f, 0xd357a760,
+    0xed63949c, 0x0b8195c6, 0x1f5ec0ee, 0x4c5bd215, 0x77b13a55, 0xe682128a, 0x7704d7c5, 0xd2781c35,
+    0xde63b8b7, 0x866f2323, 0x1f5914c0, 0xe7e6c0ed, 0x42a15d4d, 0xc62c6fae, 0x5c6852c8, 0xe6e40bdf,
+    0xe5309b71, 0x2890c51d, 0xa3b2ab1a, 0xd0d8f31e, 0x52c9f6b6, 0x78ab1c2d, 0x5161b0f7, 0xd3908e50,
+    0x4480a69e, 0x9688fa61, 0xbcf91f3c, 0xbe2d8f66, 0xad896b56, 0xf719e2fa, 0xb915d11f, 0x32ffec11,
+    0x265c9bb4, 0x84433f57, 0x81892f8e, 0xd1b23be7, 0xcf2e43b8, 0xc25c05d3, 0x62e1da9b, 0x2c743634,
+    0x3f180a8c, 0xa8d3e7ad, 0x90493052, 0x709c9867, 0xa310abce, 0xc14afccc, 0xc3e69442, 0x29d47e48,
+    0x5494711c, 0x71197a97, 0x2985b464, 0xb27b5b54, 0x65acae73, 0x081c6f8f, 0x50804fd8, 0xb79a4d34,
+    0x137de05c, 0x5461c2da, 0xf9212372, 0x949faa90, 0x862eba8a, 0x75720dba, 0x51f355fe, 0xab9d33e9,
+    0x4a54efa9, 0x69e2d9e1, 0x91540b23, 0xa45e6bf0, 0xad58de62, 0xda403d02, 0x72e95dee, 0x893d52d8,
+    0x469efa86, 0x9ad769e9, 0x40e03f1d, 0x950fb17b, 0x8afe97bc, 0xf02e7e81, 0x85cd6373, 0xb5d01667,
+    0x2c6244a3, 0xd85239cb, 0x6fbf2df9, 0x700b3bac, 0xf4ad9697, 0x61f3c295, 0x4a158336, 0xf5fc4665,
+    0x092d9001, 0x8ddb067d, 0xea448741, 0xd9888e0a, 0xfd9d191a, 0xe9085465, 0xae03ed59, 0xfd6d0b5e,
+    0xb4733dce, 0x3c60aec1, 0x42d68747, 0x888e4f32, 0x876e0938, 0x1d2f71c3, 0xcd7dabca, 0x51b26200,
+    0x049ca615, 0xe3d4f8d7, 0x37af1d28, 0xc965c44c, 0x84c9949b, 0x5e28bb27, 0xc27a75a1, 0x69f139e2,
+    0xac089f93, 0x653e2b9d, 0xaa9cb1f8, 0xf8bf62fc, 0x0dac5b96, 0x472ffd74, 0x5a79a5f1, 0x09511f68,
+    0x62204c98, 0x990ebcf7, 0x85b45724, 0x6c0ae81e, 0x27b3470b, 0x05cb560b, 0xc8fda215, 0x9bd12969,
+    0xb98431be, 0xe18dd9e9, 0x70153d0c, 0x9908a515, 0x0810af10, 0x790a2d0c, 0x47cdd4ba, 0x8dfd47c5,
+    0x94fff0d7, 0x0af84c13, 0xe61ea221, 0x34520e91, 0x038c653f, 0x3c2a6801, 0xf6bd40fa, 0xd9d5016b,
+    0x28b3a152, 0xd8704465, 0x98c79d00, 0xaba712b8, 0xa16dbed0, 0xe9b50640, 0xccaac3f3, 0x595e16ec,
+    0x19d078a2, 0xab24a5fd, 0xf1c58b32, 0x9b0f0d56, 0x62014098, 0x2d2b31e7, 0x52673099, 0x6bdca0eb,
+    0xd9d9215e, 0xc52c17cf, 0x38f03938, 0x892e790b, 0x473ba736, 0x194793ae, 0x9695a052, 0x9ca55f3b,
+    0xf6c86128, 0x2fff0560, 0x487d9fc1, 0xa4e33c95, 0x6b62c223, 0x5064f929, 0xe49ef257, 0x063a0c0d,
+    0x7ed408a1, 0x11c8f58c, 0xd9daeed6, 0x08899053, 0xafc7fb16, 0x0e05a49a, 0xc1a981ef, 0xf76cc601,
+    0xb0bb797b, 0x67d39734, 0xefcc5829, 0xe244f55a, 0x2811fa2e, 0x3448cc2a, 0xcac82395, 0x8f5fbee6,
+    0x4d112488, 0x2de24df7, 0xd6c0ad17, 0xa144dc39, 0xc5b079ea, 0xce34c7e2, 0x2088958b, 0xec61ea27,
+    0x8f270054, 0x0c5b5b8e, 0x1b2d5b71, 0xe083bfd1, 0x6aa70226, 0xd5e3db97, 0xb9eb1c2e, 0x53aae12d,
+    0xfdd3f37f, 0x9e473d9c, 0x87a0185f, 0x7087e16f, 0xfa448dd0, 0x39420f28, 0xa1034b31, 0xcb0ab6cc,
+    0xc4446362, 0xb655eb1d, 0x61962a5e, 0xf23361af, 0xb2943130, 0x306725df, 0xabb625af, 0x5ae2c52b,
+    0x2b97736e, 0xa608ee01, 0x321da088, 0x9cbb15dd, 0x36f46308, 0x7b685204, 0x8e369d77, 0x235982ad,
+    0xce1f556b, 0x5ebe7e96, 0xe8e9e84b, 0x7f0a67dd, 0x04885c68, 0xe765cb94, 0xdf085c8c, 0x4a1eae38,
+    0x0240b198, 0xc45337bd, 0x3ddee3ca, 0x68988ea5, 0xa901dd4d, 0x48b1b35d, 0x1873bb30, 0x43515196,
+    0xa3d7a879, 0xfc2ad555, 0x3ee221fc, 0x3d49a8cc, 0x8cf6c3e6, 0x0a320e5c, 0xfbb5b477, 0x2acec6ff,
+    0xbdda35ef, 0x51bc419d, 0x1445ee34, 0xa4e80bf8, 0xba4fb47e, 0xd65758cc, 0xdcd96db6, 0x3cfc69f5,
+    0x5eb67cee, 0x7904de94, 0x468289bd, 0x587dc241, 0x30124582, 0x9f811939, 0x0dd1c4df, 0x0d5983c3,
+    0xd71bec9b, 0xf2208880, 0x9333d3a6, 0x0da5ace6, 0xd7f52af3, 0xb89114b4, 0x6711af14, 0x7cc5fdc6,
+    0xa86cf455, 0x1e44f4d2, 0xcc7b713d, 0xac8d1bde, 0xa7a3a118, 0x355f0406, 0xe47cc7d5, 0xed046610,
+    0x9d4e6129, 0x37972b5a, 0x1f8c01a5, 0x4801d0c7, 0x287a0a45, 0x7a3a45de, 0x0f4cfd90, 0x6f4c95db,
+    0xd5d3cdba, 0x3e8d339e, 0x5dab5981, 0xf147d89f, 0xcec0d379, 0x1d193ee1, 0xc4491103, 0x92abde94,
+    0xfab827f8, 0x5203246e, 0x91148a40, 0xbb619035, 0xfc2ea006, 0x0fc84433, 0x995ce1f6, 0x8f3be9e7,
+    0x2eeb3181, 0x43e54dbc, 0x4e262e30, 0x6d255895, 0xc7b4db9f, 0x05cd4d0a, 0xa2516192, 0x875f1920,
+    0x1237cfb5, 0xb7165c09, 0xaa725b1a, 0xef4b362c, 0x55e0927d, 0x2b702f03, 0x85b18bcc, 0x415052a0,
+    0x9458d23b, 0xcff4c16d, 0x362f3dbd, 0x04c88b9c, 0xf6b06965, 0x3ee8f2b5, 0x41ff050b, 0xe8b1972a,
+    0x6bcaed0f, 0x74ca3df1, 0xcfcde3c7, 0x568994a3, 0x9f82f106, 0xffbb22b6, 0x5e840bc8, 0x88e4d86b,
+    0x3162da14, 0xe0491f92, 0xa26e0cf2, 0x677a17e5, 0x27e92fa4, 0xe7200c49, 0x0f65d7cd, 0xfca0d6e8,
+    0xb432ece0, 0xe1ede335, 0xf80ab0a5, 0x836dcf9b, 0x1290da9e, 0x06c56193, 0x5e99bc28, 0xed0c1216,
+    0xdc674526, 0xf2548d86, 0x280bba06, 0x2c63d0b5, 0xf9e1d7d7, 0x9ce53860, 0x43385965, 0x40997fd2,
+    0xd1994c13, 0x36043a0b, 0x313a7938, 0x1f739ad6, 0xcfc9ca62, 0x4f596d81, 0xdb3c6c5d, 0xffc7215c,
+    0x11a8722f, 0x10da6692, 0xf8d22a46, 0x3f0c981e, 0x5cb663d5, 0x59776ba3, 0x236c9ce6, 0x4a894ebd,
+    0xfaa73560, 0x112e5e06, 0x947a6ba3, 0xd29172df, 0x7c1c7295, 0x124eb1ef, 0x53c4b54a, 0x856419f0,
+    0x381d7037, 0x053e21a7, 0xaf48cd0b, 0xd2436234, 0x26d44105, 0x8bcb0db9, 0x650774a2, 0x187b295f,
+    0x19c063f1, 0x450277cb, 0x19d77d6a, 0x7f27e577, 0xf85a54a6, 0xc8720b10, 0xb7155257, 0xa2ed2027,
+    0x6e3e25e1, 0x78696f8c, 0x8e2e63dc, 0x466bd5d8, 0x01d472bd, 0x5ffe57a8, 0x94db68a2, 0x186f59e3,
+    0x53e07a7c, 0x8167bdeb, 0x358108f5, 0x144b34c8, 0x4a76f8df, 0x8dc83d3c, 0x81e4a56b, 0x4218cb16,
+    0x21dfbebc, 0x3dd4223b, 0xfef9baed, 0xb49df76c, 0x8282ed8d, 0x98c2a61b, 0x5fa108af, 0xa8f41a2f,
+    0x21aa7374, 0xe6f747e0, 0x767bdc34, 0x4d9225bb, 0xaf7366a5, 0x64036e39, 0xbc0725c2, 0x42f5d3d2,
+    0xa7aef94f, 0xb5add62f, 0x3b33c523, 0x12c013c1, 0xb8946fa4, 0x68e5421a, 0x1a52592d, 0xb6600530,
+    0x4e4be425, 0x04b996a1, 0xdc33abfd, 0xda110e9b, 0xe1b1c77d, 0x16d4113d, 0xca5d3f4d, 0xb301b047,
+    0x93f3dd65, 0x45df633f, 0x93341d1d, 0xcf58d3b8, 0xee8d014a, 0xb811a10f, 0xcf18f4e0, 0x13dac9cf,
+    0x67c0c550, 0x4f830908, 0x8d24dbb7, 0x54ea468b, 0xb03a50d9, 0x7bef0226, 0x239b43a2, 0x9c81310f,
+    0x7fa40889, 0x077d7b2d, 0x93914492, 0xc9c91396, 0x093a239f, 0x365911ad, 0x6f0ed452, 0xf83b89c7,
+    0xc2bd2fdf, 0x784bd87f, 0xbfa1be4b, 0xf90f53cf, 0x7f4f9498, 0x3fa3144f, 0xc25ae17d, 0xc0f1f9f8,
+    0xc6efcc73, 0xbf909f0e, 0x7759de18, 0x7dce781c, 0xd18762d4, 0x31267106, 0x8d948ad1, 0x99cfd668,
+    0x629620ce, 0x715a33d7, 0x591969f7, 0x46c90945, 0x05515597, 0x86a1e8c0, 0x19085327, 0x93607074,
+    0xbce7569a, 0x6a639f33, 0xc6d761ed, 0x5020af11, 0x62f5999e, 0x3d376c4b, 0x4a4045cc, 0x8bbfce4d,
+    0x0602099f, 0x9b6c16f6, 0x3629949f, 0x6e764d87, 0x2b341eed, 0xd9ed4ccb, 0xea9a150c, 0xfb6c2f1d,
+    0x8e068a47, 0x96176200, 0x5138eb94, 0xbcd17eea, 0x14427993, 0x71c0d6d8, 0x934b2635, 0x4f12e947,
+    0x0898f87b, 0x90795981, 0x451e7d65, 0x73afb66f, 0xa4ae07bd, 0xd407e0c2, 0xc3c0db65, 0x7533e86f,
+    0xda54feea, 0x51f50153, 0xa998204e, 0x089e61db, 0x7e74d525, 0xba045bfc, 0xfcf166e5, 0x382a9418,
+    0xfda69f12, 0x131648c4, 0xe69de144, 0x49d93ca8, 0x2706924b, 0xc682701a, 0x1619407c, 0xe9f727be,
+    0xd7737cae, 0x4dc83ec9, 0x4d0d335b, 0xc8ae89de, 0x8ff95432, 0x9abe0267, 0x7b21de1a, 0xa4a9aae6,
+    0x43282fb9, 0x29264027, 0x5680439d, 0x70cb4c3e, 0xae5541e5, 0xc9540a31, 0xb956b5a1, 0xe72a9d2a,
+    0x00570c43, 0xbedae8a1, 0x807a1202, 0x6e0ef39b, 0x323a1f7a, 0xba3a43c6, 0x31f3d02c, 0xbe3ca168,
+    0x741687b2, 0x3bd2c38c, 0xf34bd236, 0xbdcd34ac, 0x3344fd52, 0xbbb86e1e, 0x799f57cd, 0xecfb4d48,
+    0x277913d4, 0x581eeebb, 0xb476c229, 0x1e31fad1, 0x05095c0b, 0xba000346, 0x2e22b6af, 0x26d2facb,
+    0x8de30a06, 0xf976b0be, 0x6fbba889, 0xf37c7a31, 0x94faddc8, 0x5e06b822, 0xceb5d779, 0xc1491322,
+    0x398027b5, 0x3406926c, 0x063cb51c, 0xa402e140, 0x2bef758d, 0x375d3da1, 0x0eea8c52, 0x918b965d,
+    0xf47f3f19, 0x9fe059c7, 0xb7792c40, 0x42cdab15, 0x5163bdf4, 0x378a76a3, 0xe52504d6, 0x57892548,
+    0x05d97df9, 0x983c6c1e, 0x1b5130da, 0x9fcbd0aa, 0xbfcd3911, 0x634e53eb, 0xeb09dc24, 0xd336e97d,
+    0x00fd56f3, 0x2b3d5f41, 0xc1856887, 0xc116a98f, 0x3b8924d5, 0x74ab5b9e, 0xbdfc72b4, 0xf4d7c19a,
+    0x1f3424b3, 0x77ec74a1, 0x2f0159dc, 0x941545be, 0x17e55d43, 0xdbb361ab, 0xb7c641cb, 0x74d02342,
+    0xa533dd01, 0x9d602515, 0x99e79993, 0x22c0a56d, 0xf3802a51, 0x0390457e, 0xb2eefffc, 0x44b9f32e,
+    0x194c9b24, 0x0d8a9aeb, 0x535c7c8b, 0xa7415aad, 0x7002bf76, 0x5386ce1a, 0x9a3f0e5c, 0x19f57df5,
+    0xf43c52d1, 0x34dbb82c, 0xe5bc8e31, 0x7e8a0fa1, 0x1f6ba90e, 0x1da21a6a, 0x584bcbf3, 0x37a1d15a,
+    0x10fe6108, 0x14325f21, 0xcdaf3803, 0x1469c277, 0x6152b552, 0x5fd0610d, 0x1b324a4d, 0x6fa01b13,
+    0x5403d63f, 0x2dd83c7d, 0x7e1c9162, 0x6592ee84, 0x1cdfd03a, 0x10c42e13, 0xc38d7905, 0xb46d9d6e,
+    0x131f95ea, 0x61ff3602, 0x31395d87, 0xaa693ecf, 0xef044965, 0x31d96900, 0xcc942037, 0x00d2fac0,
+    0x33317c9e, 0x342df890, 0x14a219aa, 0x82a6d334, 0xd2f1c5a5, 0xf61b1894, 0xac1778ff, 0x978b8b29,
+    0x600f0bb4, 0xd16c9650, 0xa87e93c2, 0x0893a19a, 0xc70f4b0d, 0xf8148c7e, 0x19982884, 0xbabf47da,
+    0xb9f24d95, 0x1c09de5e, 0xcdb6e2b9, 0xefd11a02, 0xfa0581bf, 0xd779abac, 0xf7e31daa, 0xa553093b,
+    0xa7f1a7ee, 0x3c4a4258, 0xcc07faa2, 0xc73d9c27, 0x21eabc27, 0xeea4ae8b, 0xcd78c3ce, 0xe8991b8f,
+    0x2f8e9819, 0xc6cc2d4d, 0xe907e6a4, 0xdc6512b4, 0xa445306d, 0x334e6d32, 0x38b06282, 0x990b9832,
+    0x8ff9165a, 0xd7531657, 0x1a0b82fa, 0xc45da17f, 0xc99faf08, 0x55c328d6, 0x7d67826a, 0x0daeffc4,
+    0xe2da5751, 0x7f48e154, 0x1b67df7a, 0xb692efc7, 0x8f274a3d, 0x1a070378, 0x448c3641, 0xaba02caf,
+    0x39ee443f, 0xfbfd8759, 0x4d3e2f0b, 0x853323d3, 0x63905783, 0xf050993b, 0xfd495d41, 0x5772f10a,
+    0x48b02d9a, 0x25362a88, 0x4033b0f8, 0xe6f05bf6, 0x8d5d1941, 0x79293a90, 0x8125f7c5, 0xe1812730,
+    0xfa95cc22, 0xd426211c, 0x8ce520e4, 0xbca35f8d, 0xe58e492c, 0x2250bb77, 0xfaa4b8a3, 0x3fceecc8,
+    0x83228bc1, 0x5d9c9cf2, 0x9eb0e0df, 0x2c411dc8, 0x9bfea4eb, 0x9448498a, 0xa4db150e, 0x8feaa2a2,
+    0x2f94d506, 0xc2f140de, 0x2f312563, 0x2d0f771f, 0xdf27eef8, 0x2f9b773e, 0x71161b57, 0x0dcc1e1e,
+    0x20b40e5d, 0x3288d416, 0x6bea2544, 0xe92b9177, 0xca115042, 0xc367423b, 0x16b011b9, 0x73f660d3,
+    0x4fda0053, 0xf025eb82, 0xde982d15, 0xf91b8114, 0xb6f567d5, 0x9c8541a8, 0x4be8bb94, 0xf57a5a58,
+    0x96b92e5f, 0x4297c997, 0x9306973b, 0x155170f2, 0x862c3c52, 0xef7c7b87, 0xfcb07b20, 0xb45dbdfb,
+    0xec25201b, 0x6c471955, 0xa8139036, 0x3c919158, 0x721a27dc, 0xb5116767, 0x1974cae1, 0x62029745,
+    0x0b8f3390, 0x72287bac, 0xcdb13482, 0x8b2d9d88, 0x57594174, 0x8d8a004e, 0x46195f8c, 0x96789456,
+    0x3b7a1d2c, 0xaffa2495, 0x24a2f6b2, 0xaecd19e9, 0xf3d2be63, 0x7001470e, 0x90e73105, 0xfa234ed7,
+    0x43d9d091, 0xaa5db244, 0xa4a11fcb, 0x3897d56d, 0x991f6701, 0x3b9ef2f2, 0x378fd9af, 0x9d34f40f,
+    0xa6aba58f, 0xd0179da9, 0xf7f48096, 0xcac7040a, 0x6beb5aeb, 0x1d7f7711, 0x62db51be, 0x8ac7535f,
+    0x92466f70, 0x1fcdcd35, 0x003faa00, 0x37fc6d00, 0x8503a5e3, 0xae2816e0, 0x3d28245e, 0xa6746325,
+    0xd4575a6a, 0xdece1d71, 0x5701d09f, 0xd4404868, 0x12303882, 0xa6ebf19e, 0x962e0e94, 0x5f3ba205,
+    0x5b1d8a05, 0xb165837d, 0x5fdb9384, 0x6812b078, 0xcd3aad42, 0x465dddcf, 0xd44ca03c, 0x68a17fc7,
+    0x6e163360, 0xe78f7798, 0x5d390030, 0xe6f2d4e1, 0x7110ad27, 0x82eaad49, 0x42436995, 0xda4c497f,
+    0x910d86e5, 0x85d53490, 0xa35dfa50, 0xd590bdab, 0xc30b1455, 0xa9f1d509, 0x486cfcb4, 0x6dadaec4,
+    0x533b57c9, 0x156045ed, 0x4922da6d, 0xb6a4e9b7, 0xe8b9df6a, 0xadbb1380, 0x9183624f, 0x0ac54023,
+    0x911571a8, 0x2a83d423, 0x80213bdc, 0x0f36f4e6, 0x2a87bbb3, 0xcb6d2825, 0x520501a7, 0xaaeac7a9,
+    0x00000000 }, /* 10**-00000000000030485825686679611634585910447198889704576153736962608895108954683\
+                          84152088691177363398736428772941378085768487423248655171335913749304966119424 */
+  { 0x00000000,
+    0x3fffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9,
+    0xbfbe8c3d, 0x317ccd78, 0x10b11570, 0x62e0eda0, 0xaa4e297a, 0x14f5e508, 0xdbfd4d1a, 0xd598074d,
+    0x00000000,
+    0xc1e0b751, 0x14f16a8b, 0x1b8ba594, 0xdba614b3, 0xb174c9b8, 0xee9dbc4d, 0xc5146079, 0x0003c20b,
+    0x85ad3f9c, 0x198d2160, 0xb1eafda7, 0x85a40469, 0x02d8f848, 0xd150364b, 0xfb01fe7a, 0xc6503ad1,
+    0x69418185, 0xac46b7a1, 0xd3f93bd5, 0xd6130c40, 0x5d675802, 0x7bc6fc67, 0x33bf3acc, 0x3be93dda,
+    0x07b691d9, 0x77b46d68, 0xfa313563, 0x35d9ed76, 0xffc64256, 0x3e525457, 0xd51ecb8d, 0x166179e9,
+    0x6f5662b9, 0x82ef4757, 0x859d1107, 0xb05a0221, 0xb71d7013, 0x0d95e89e, 0x7492aa8f, 0x84065c30,
+    0xefaef3e5, 0xf986e504, 0x6a58e555, 0xc3598157, 0xda9431fd, 0x6ef15b12, 0x3b3d72b5, 0x8b8ab789,
+    0x89298de9, 0xb887733e, 0xd74d2ff0, 0x4f664751, 0xc9c71581, 0xafa49c16, 0x407430e2, 0xa5e413e9,
+    0x647155ca, 0x7350983b, 0xb01103fe, 0x1b956ce7, 0x5a02c39c, 0x4b327866, 0x302964a3, 0xcfb0e362,
+    0xe270f5cf, 0x239ef827, 0xbfd4ffa0, 0x8239109d, 0x7aa8dc22, 0x262ae76c, 0x8f8300a9, 0x289b57ba,
+    0x38a85185, 0x52b427fe, 0x1cdfb8c4, 0x44042526, 0xfaa265ce, 0x44371f1a, 0xc94e08ab, 0x1c7d1d1f,
+    0xea669f7b, 0xeb7e7895, 0xf44c2f1d, 0x14fb276a, 0xff3540b5, 0x90f3d21d, 0x7bd422fe, 0x83746ece,
+    0xd8e94fa7, 0x71942e69, 0xc5b62a3d, 0x3e430bfd, 0x6c68b432, 0x5aff8914, 0x49266e49, 0x9c361693,
+    0x99893185, 0x8528fd39, 0x4f520d3a, 0xf768db27, 0x080b53de, 0x6982a239, 0x2d3fb2f2, 0x6f97b31f,
+    0x4ac65337, 0x4bc31503, 0x659afd81, 0x07a8f6bf, 0x677f8215, 0xf0b6634e, 0x61a511a1, 0x97d69ac1,
+    0x8635bcc8, 0xfd4999b3, 0xd6e3ad80, 0xac588dc4, 0x287c2de0, 0x7d6143b9, 0x26914aca, 0xec02b165,
+    0x678232d2, 0xcb598b2d, 0x62d44b1d, 0x5c157f89, 0x52718e31, 0x6ba6c644, 0x4ab5317e, 0x82fc65ef,
+    0x2a905175, 0x3d561b2e, 0x7e37e008, 0x944be473, 0xac1693b5, 0x185b9b2c, 0xb0b45be7, 0x0a45ea71,
+    0x55ddd6db, 0x1450487e, 0xd952309d, 0xc25c072c, 0x60791233, 0xbb4fef99, 0x961847be, 0x857e9f70,
+    0xab44683e, 0xcab182c1, 0x2c77fafe, 0xb52356f6, 0x46a44f14, 0x1b2fa9df, 0x96c6fcbc, 0x63d5624f,
+    0x0817109e, 0xa7d5bde2, 0x38cecdec, 0x7b9c09ed, 0x17e5683f, 0x8a738a2b, 0x6df17e2f, 0x9c6dfd6f,
+    0xa47b059f, 0x953b657e, 0xebfa62a2, 0x1b83d661, 0x26821ea7, 0x87c04a69, 0xe515d748, 0xad236cef,
+    0xec385613, 0xd301d77e, 0x71edd8cf, 0x0480776c, 0xf8824b2b, 0x720f98f2, 0xdee2a691, 0xe9a58eeb,
+    0x015728cf, 0x735dd152, 0x675835b5, 0xaf444549, 0x548e885a, 0x887d5296, 0x2e1d77d6, 0xfe8d52cb,
+    0x4fffc17d, 0xc43fa385, 0x4ab8f8e1, 0x841ff9c7, 0xf60e773f, 0x31f159cf, 0x686e26d7, 0xdcbf2506,
+    0x95272c3c, 0x9a4a8ed3, 0x52b46b14, 0x7d7ae0cb, 0xfce4acaa, 0xd517532f, 0x667dcb38, 0x7b41ca83,
+    0x8a6d7c9f, 0x6b8576b7, 0xef788468, 0x67d5d396, 0x55d44662, 0x1a9d6447, 0xba9b73e4, 0xcec5ee84,
+    0x355a8240, 0xaea82827, 0x97509f5b, 0x22d4743c, 0xcfb7fb35, 0xfdd3806e, 0x9b68970a, 0x877acdb2,
+    0x93a36fb7, 0x82be15f5, 0x315675cc, 0x033f42ff, 0x44e1f505, 0x6f931b87, 0x89e0de5f, 0x0cd8c11f,
+    0x11c83853, 0x666088af, 0x9050095d, 0xdf1bd9fd, 0x4a588aae, 0xb2722466, 0x3f9ddcfb, 0x4aa32860,
+    0x1577fe82, 0x52404950, 0xe7bca688, 0x854005e3, 0xdecff96a, 0x2c5b3e1c, 0x90bba8e0, 0x13f8bf38,
+    0x83a0be15, 0x1769bfec, 0x015521c6, 0xe8b26e68, 0x79a79e7b, 0x29244e1f, 0xa7257109, 0x40ce71bc,
+    0xdd8a5537, 0x57952ea9, 0x47d761d2, 0x7411de73, 0x1c94313c, 0x851644c2, 0x9aaa71a7, 0x234bf894,
+    0x9ea37a99, 0xe5a3daf0, 0x71595564, 0xe400fae5, 0x98545eae, 0x258633a0, 0x1f60d673, 0xe186f4d7,
+    0x04644348, 0xaf42fdc7, 0x54e0c39e, 0xab773417, 0x43993576, 0x1a888f6e, 0xed5e6182, 0x626afd2c,
+    0xe9f661ed, 0xfc73b283, 0x9bc87dd0, 0x57cf27d5, 0x1c1ceeea, 0xd27b10b9, 0xf0701014, 0xf3eca8ce,
+    0xdf06d504, 0xc1e3a3ad, 0x2ea6e7b8, 0xe8a3e7ca, 0x5256f38a, 0xd6e977e8, 0x97c65db8, 0xd879437a,
+    0xcbd2e0ef, 0x94f80270, 0x08f291c5, 0x8274ed29, 0xabb1093a, 0x66749126, 0x7c7abd4d, 0xa7ea2c60,
+    0x36bc90a0, 0xdaff9b98, 0xbb31cd9a, 0x19410be4, 0x856f9d96, 0xba1cd12b, 0x0b1c3446, 0x751a2b79,
+    0x6aaf5359, 0xdb3d14cd, 0xdf15da07, 0x85498dbe, 0x1f654214, 0x24c1bddb, 0xa9b75f4d, 0x598448ab,
+    0x434e20a5, 0xfbfe7f48, 0x7672bba1, 0x4ed8e908, 0x9d6a0726, 0xc6060e33, 0x559ad9f4, 0xbb7267c6,
+    0x162d6e0d, 0x296cc6b4, 0xb0ca0ddc, 0xeb7795fe, 0x2ee8ac4c, 0x22c26b93, 0x16e7c186, 0x046f1faa,
+    0x72c484d3, 0x3e93e8d2, 0xfb89f025, 0x47ee2bc1, 0x70c98060, 0xb40a908a, 0x785c9a01, 0x61098288,
+    0xe141ab6a, 0xa40a83d6, 0x5dedb2ec, 0x62196e8f, 0x6b74f23d, 0x549eb1f1, 0xe00d10fc, 0x50b2f761,
+    0x9d90ed77, 0x02bc55cc, 0x7579ba38, 0x6b60e4e7, 0x22252a2d, 0x87ae432e, 0xcb1eec2b, 0x2fdf3172,
+    0x30d6c8a9, 0xcc5b1823, 0x3f449103, 0x097926f9, 0x2cf22c6f, 0x45fb65e0, 0xfcd515f2, 0xa8eb6147,
+    0x2282ee87, 0x4c6c2571, 0x0251feb1, 0xb2790d0f, 0x1b1325b1, 0x5126083e, 0xddb87151, 0x4eaf93e0,
+    0xdeb69923, 0x6e5194cc, 0x84591a77, 0x142dba61, 0xff2363d3, 0x659aa624, 0x95b5e214, 0xff70a70b,
+    0x28b49486, 0x01dcdc5d, 0x55c21bfc, 0x47ae755c, 0xdba6d271, 0x987474a4, 0xb5889649, 0x9e56a48f,
+    0xa953bb24, 0x07b110ef, 0x5d25c926, 0xa57d7fd0, 0xad05259d, 0x9566e9fd, 0x791698ef, 0x66bb3076,
+    0x5f8de73d, 0x767780a2, 0xc7fb0eb1, 0xdaf6dbe2, 0x99a1ba0b, 0x27317827, 0x98ac1707, 0x21c47191,
+    0x7cd240fd, 0x8e77e600, 0x9cc2905a, 0x7b177872, 0xfad8925e, 0x86c5525a, 0x34e5693e, 0xbbde7cd3,
+    0xebbd32fb, 0xbc35878b, 0x15dd6d9a, 0x61e07eb1, 0x64fea6b3, 0xe9cbb2c9, 0x5dbe2c53, 0x65f244f3,
+    0x44d2e952, 0xd3f7e186, 0x3f7dd912, 0x2ea248f5, 0x5d707c07, 0x7ffc40f2, 0x88eedba6, 0x47b671af,
+    0x043bf682, 0x15bdc841, 0x9ed2e42b, 0x4e51906b, 0xfdf586e3, 0x9c94b807, 0x7d0471e7, 0xaca38503,
+    0xa6baaacd, 0x4baf2c51, 0x45c34077, 0x0ba777f8, 0x8d994f69, 0xb3f17673, 0xca8cd3dc, 0xace5bc51,
+    0x8dfc4cc9, 0xdd408e39, 0x5155ef8b, 0xb188d894, 0x2241466c, 0xfaac2104, 0xb5ee399b, 0x25fcdf62,
+    0xb575b99a, 0xf7483f1d, 0xae121d62, 0xdd9222d9, 0x388195e0, 0x14843183, 0x7d668df6, 0xb26e7ca2,
+    0x00b5518e, 0x894a7b08, 0x90f6baa5, 0x25f1fdbc, 0xbc65263d, 0xdd928e95, 0x551320cf, 0xaba658e4,
+    0x0d342a28, 0x9b109653, 0xea7cbb67, 0x347e767a, 0x4d50c549, 0x2375eeb2, 0x70a01554, 0xa3d45957,
+    0xcdd7c52d, 0x3603f4f8, 0xe6242f38, 0x3ba1b9ba, 0xe2e53302, 0x09c436bf, 0xeca4c335, 0x32d852a3,
+    0x918fff23, 0xf0fb6007, 0xa374f9c2, 0x562f5be5, 0x147e4768, 0x8b915c2b, 0x1107746d, 0x5f8be74d,
+    0xcd905540, 0x8178e4c0, 0x9679f530, 0xb970b3e1, 0xedf16c60, 0x18a8e316, 0x196f98b7, 0x55ebd809,
+    0xcb6378b9, 0xe06affc1, 0x45fb9d57, 0x2b4929ca, 0xb2888f59, 0x7a470d79, 0xf2a852dd, 0xef34f0f7,
+    0xfa003f77, 0x3f2bef08, 0x77face6f, 0x8a8f117e, 0xf0643e31, 0x77dda260, 0x6c564f5a, 0xbb7f6001,
+    0xccff6dfd, 0x491e6cd3, 0x0e2d586e, 0xf3c4984d, 0xe7645cff, 0x745e5a78, 0x910ea0ff, 0x756fff15,
+    0xa66a0cf8, 0x5fbbd88c, 0x28a176a9, 0x7c66ff54, 0x3a506e99, 0xb150e6f5, 0x8922944b, 0xb1c8595c,
+    0x812ea811, 0x62e6fa74, 0x540f6a78, 0x1732b76c, 0x91140fe3, 0x0c32ec94, 0xde30b5b4, 0x798a06e0,
+    0x28bbba90, 0xfd3c9352, 0xcaa3b938, 0x5d6c4365, 0x8049a7b8, 0x954ae7ea, 0x7bae711a, 0x96ec25cb,
+    0x877c971e, 0x126c992a, 0x2c2887ff, 0xbcc681b8, 0xd18537cd, 0x9d3ada34, 0x47bc9ef8, 0x1ae74bae,
+    0x70289bd0, 0x40468054, 0x1083dab6, 0x8bdf73d1, 0x89e81a75, 0x19948996, 0x2f905af4, 0xf2d6c305,
+    0x2217e125, 0x326261bc, 0x10055402, 0xdd27c0d7, 0xb7bfaea3, 0x22f8ba2e, 0x293791a1, 0xc4bac66e,
+    0x91099c3d, 0x48f83779, 0x3ed2234d, 0x8a2165dc, 0x5015fdf8, 0xb0b33b0b, 0x1e58cf72, 0xb472bc2c,
+    0x242074f9, 0x2fcebb2e, 0x325d88fc, 0xc2c4dd15, 0xd27b132e, 0x5d768600, 0x583e4047, 0x0a9af6ef,
+    0x8eb40e64, 0x52a22144, 0xd1ed56e8, 0x5accfd25, 0xf175694d, 0x38ba9bb0, 0xef145f39, 0x54a46778,
+    0x2eee8048, 0x78dfbec7, 0x819d0868, 0xe11e7082, 0x82e2625f, 0x90a90a65, 0xe4146bf3, 0xfae6238b,
+    0xe82a655f, 0x3f6ce6cc, 0x83a84801, 0xf1d27e80, 0x27d2a73c, 0xb2d8be32, 0xf9ef3c24, 0x7ebb17b9,
+    0x6f6639b4, 0xf272fae6, 0x2d639f73, 0x2eb831ab, 0xc82ce391, 0x5326c536, 0x37cd52e7, 0x8458f2ce,
+    0x2b2f67a1, 0x6c2c6bb0, 0x3325f37f, 0x9fd9a832, 0x4ba7eeca, 0xe75ec66b, 0xd61c2776, 0xd4c1938f,
+    0xf346ce52, 0x893e7016, 0xd5bab21e, 0xf59b8194, 0xc819c096, 0xb13d1466, 0xf9051e41, 0xc777233f,
+    0xf2e1ddb6, 0x8fe080f5, 0xf9f016ab, 0x32bde3f0, 0xb9a9d263, 0x8323dc15, 0xea8d2977, 0x912d48be,
+    0x0c9b64a9, 0xc78f420f, 0xcfed8ca3, 0xf9cc1c8d, 0x592a495e, 0x18182293, 0xd431fb87, 0xf12830cf,
+    0xcdbb8d4c, 0x33c55193, 0xa62b7074, 0xfd8f0afe, 0x13f00e5f, 0x19da25f7, 0x80c196f7, 0xd2c8cb3c,
+    0xe2c8e540, 0x52a12b26, 0x68610622, 0x002e1ad8, 0x9f20d68d, 0x9bc67c1b, 0x46bf36a8, 0x8650a975,
+    0x3b727025, 0xf58489e7, 0x531f05ef, 0x30993671, 0xb20f1ced, 0x21b92e1e, 0x602b60d2, 0x7f1f4851,
+    0x4566b94d, 0xd4e18166, 0xb48d72c6, 0xe27fb4d9, 0xca33f7f5, 0xd9b4a407, 0x8373307c, 0xd70c75bc,
+    0xe67f850b, 0xc62c19f0, 0xff69475e, 0x3d0edef1, 0xd9dea9fa, 0xf412c4ec, 0xedc9001b, 0x0f8f5bf8,
+    0x344592d5, 0xd5571d71, 0xe6ead16f, 0x5fe1afa7, 0x7fd5be9c, 0xb816e09a, 0x8a54266d, 0x1f89d0da,
+    0x85d5401b, 0xc2a3aad9, 0xbe940155, 0xa0c8515a, 0xd87e55c6, 0x60778ba1, 0x95862ea6, 0x3e86d346,
+    0xc99cc06b, 0xb979695a, 0x729a4bb4, 0x9c1cb16e, 0x55bf89cb, 0x479fa460, 0x0b59c8f7, 0x9031f615,
+    0xdcac0d99, 0x4bf9a74b, 0x40f7cb15, 0xe7fed786, 0x1dd43540, 0x0c5c5720, 0x9d0d8946, 0xdc3f8d6d,
+    0x595fcc76, 0x8fbf7275, 0xc03a4b8b, 0x5f61e699, 0x28aa2628, 0x3b22090d, 0xcc8ec8a0, 0x0a57b79e,
+    0x72d93b1c, 0x93eacb33, 0x8abf0b94, 0x11783404, 0x4fbea355, 0xfcce24fd, 0x2698d2bf, 0x2927664b,
+    0xefc17078, 0x86300b0b, 0x76d12bbb, 0x5b8fca48, 0xcef39002, 0x4da0bd07, 0xfd798068, 0xd3a45f1c,
+    0xf6f5b18b, 0x18a1eb42, 0x2b97de20, 0xda7d7721, 0x733c1307, 0x736e7e9a, 0xe58b04a0, 0xf964f4a0,
+    0xca281549, 0x3306e1ae, 0xc88cc2dd, 0x3eba280d, 0x9207b973, 0x92438aea, 0x6d5b337e, 0x72b8049f,
+    0x489cda1a, 0x78f98875, 0xfb0e6364, 0x516c1e3a, 0x96e77a1a, 0x6fc7c23b, 0xeba2227c, 0x82df359e,
+    0x8ab09642, 0x5230871a, 0xfd74a60f, 0x4aad1974, 0x9a073fa0, 0x4c29b207, 0xaa2492c4, 0xffadee61,
+    0xfa9ccccd, 0x886b21a2, 0x7f74ff5f, 0xa45b1438, 0x8ab6c009, 0x874cd614, 0x1b609538, 0x7951cc7f,
+    0xc153f84b, 0x561a8ecb, 0xa601c96c, 0x9665d8c6, 0x3f06dd6d, 0x06c4bfec, 0x52317fae, 0xb5df2914,
+    0xaecd88e2, 0x007f6bf2, 0x410b5f56, 0xf4153255, 0x3d062769, 0x10b84b27, 0xd99eaab9, 0x065735cc,
+    0x7ed39114, 0x91e81e4c, 0xcdeeeef2, 0xac0dd81a, 0x0e285640, 0x12a90bdb, 0xaa5bbc9e, 0x7078d225,
+    0x32b4f95d, 0x392c584c, 0xa2973ec3, 0x9387c38f, 0x85bc3dd5, 0x1b253e5f, 0x91d8ad31, 0xf7050e61,
+    0x67c08e77, 0x3a673d42, 0x78844c49, 0xb5464c04, 0xb8b148cd, 0x88f96f78, 0x6105af87, 0x27df2de8,
+    0xf360fa8e, 0xb1bfa582, 0x11f445d5, 0x408bef37, 0x0dfba25f, 0x7ef42599, 0xb2d801b4, 0xb92c91ed,
+    0x6bb853c0, 0xb7eab347, 0x1f53b32b, 0xe716a3d4, 0x6c1cb26b, 0xcb01b133, 0x911d5f88, 0x4cb3aca1,
+    0xd977b70c, 0xad189e42, 0x2613bc7b, 0x40ab7895, 0x23d9cd61, 0xacb1b0c6, 0xa2d4a0a4, 0x120597dd,
+    0xa8de6de6, 0xff3efaf1, 0x55afc306, 0x9aa4151f, 0xe6a9a561, 0x86702732, 0x08ceaca1, 0x1f166dc9,
+    0x33a69811, 0x1783f7e3, 0x2ae8e1f8, 0x604f71db, 0x5276f46b, 0x852d0805, 0x3275c2e6, 0xa8e6fc05,
+    0x29f1f14a, 0x7f3df77d, 0x991dc12a, 0xa666ed89, 0xf8261941, 0xd0a973bb, 0x6988885b, 0x1b1efc13,
+    0xac774c06, 0x53991420, 0x32a487c0, 0x9cfb4591, 0xb58a1a67, 0xfd12ed41, 0x4d8dc404, 0x9b5a5ca6,
+    0xdfa7bf93, 0xb2553bf4, 0x916bccf9, 0xba4fe60e, 0x787e3432, 0x0d596de5, 0xdd709d6a, 0x51d4bdb7,
+    0x3d289b68, 0xc9ae3dcd, 0x66c7c3b8, 0x301a1ac5, 0x95ab0bed, 0x69d90e1f, 0xb61ae207, 0xadbc0d91,
+    0x327fcf6c, 0xaf133b0f, 0x84767a68, 0xb75fbd54, 0x25772295, 0x7061aaa3, 0x9b4a49bd, 0x64bfb56f,
+    0x6be4e887, 0xd49d4485, 0xf5f7822b, 0x192ed8aa, 0xd3ceb1c0, 0xd2e2e4d6, 0xc2ee6752, 0xd9c8f921,
+    0x69b65a66, 0xcaab01fd, 0x4eb096e9, 0xd0fb07d8, 0xcb70f4b4, 0xd742a5fe, 0xf46cae0c, 0x4c933889,
+    0x6bc8269c, 0x449c938a, 0x4a4ffc6f, 0x58dc12b2, 0x703cf12a, 0x49c6ebd6, 0xd21fe4be, 0xed2e8431,
+    0x7675ab26, 0x4908ab8e, 0x50b86188, 0x76544829, 0x10c23cb8, 0xabc8fc83, 0x65f14aed, 0x1a14649b,
+    0xaa1ef6ce, 0x8f63c83b, 0xb45d47f9, 0x9c320acd, 0x756eae8d, 0x5db3b41e, 0xa0a79548, 0x4854bd7f,
+    0x2526d033, 0x9a7a4da7, 0x2944a25b, 0xb7e21ef0, 0x906aebd8, 0x1237e17b, 0x3906a76e, 0x0f9b5cf9,
+    0xdd09446f, 0xd00ba990, 0xf2a54064, 0x288c39c3, 0xdde2e6fa, 0x7cafe87b, 0xd8065f29, 0x6d0d1db5,
+    0xaf9cea7d, 0xbd10d695, 0x79ba4308, 0xefb028e5, 0x0614adef, 0x5e6f5c2f, 0x33d36133, 0x23d85383,
+    0x63408919, 0xcb344749, 0xbafd04f3, 0x2a9ee3ec, 0x9cfd33b3, 0xae5b5004, 0xbdb8c4c0, 0x99fed4be,
+    0x3733f7c9, 0xa180f5ec, 0x69e1dabf, 0x094628eb, 0xd69b9ad3, 0x81e0d23c, 0xffc706f7, 0x1eee77b7,
+    0x221f3171, 0xd4b2b313, 0x1e9bc4ab, 0x486f13cb, 0x4ed8d8af, 0x6dea35bd, 0x1e6444e0, 0x5575abb5,
+    0xaeacc882, 0x1978638e, 0x382ea8df, 0x4f4237cb, 0xeca11de7, 0x85953768, 0x4d29607e, 0xe011d4c1,
+    0xb4c09bc0, 0xf1c0a2ab, 0xbe045b63, 0xd44209d4, 0x07c547f0, 0x71108177, 0x1b0645a2, 0x1d46767a,
+    0x00000000 }, /* 10**-00000000000015242912843339805817292955223599444852288076868481304447554477341\
+                          92076044345588681699368214386470689042884243711624327585667956874652483059712 */
+  { 0x00000000,
+    0x3fffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254,
+    0xdfdf461e, 0x98be66bc, 0x08588ab8, 0x317076d0, 0x552714bd, 0x0a7af284, 0x6dfea68d, 0x6acc03a6,
+    0x00000000,
+    0x9d8836c5, 0x8b4d42d5, 0xd075a087, 0x4bb6ecfa, 0xd4a922fd, 0xdff6dee5, 0x8e888f53, 0xdb3b34df,
+    0xab27c809, 0x2816c02a, 0xe9dee507, 0x6207a38e, 0xd1c7fee4, 0xc1104d97, 0x1515d813, 0xe40ef36f,
+    0x1d76cfc0, 0x5559d277, 0x43c8ad03, 0xbed20722, 0xf8a5dcee, 0x6603c9dc, 0x7380b704, 0x6562c2e9,
+    0x5509f2b3, 0x03788dd2, 0x9655dd68, 0xe9ab7db8, 0x18541dab, 0xaeaf217e, 0xd621d62e, 0x1ca811a3,
+    0x84333ff2, 0x52a37cdb, 0x4c60396f, 0xc8023498, 0x8a21522a, 0x43b736dd, 0x2ae19e1c, 0x8cfde3cc,
+    0x948ff097, 0x8fcfdc19, 0x243233d3, 0xc844acd9, 0xa846f6c7, 0x9b9a47af, 0x36befeb0, 0xf5cf4bf0,
+    0x795293a3, 0x5373cd34, 0x17960809, 0x232a9f58, 0x71d17a32, 0xa7ba1547, 0x65c55ec6, 0x23d66363,
+    0x82693f43, 0xcb59c0f7, 0xf59d2591, 0xe9e8a800, 0xf1e8d3d7, 0xa91e136f, 0x6f7faffb, 0x8b8d1b9d,
+    0x79ab1873, 0x8da4e271, 0x03ca0c94, 0x19aab8ba, 0x90f2dfb0, 0xac150cf8, 0xfa6ba6c5, 0x44c13011,
+    0x22f3ab57, 0xb152e1b8, 0x4eb4f827, 0x417dce4a, 0xcc736335, 0x7c1e3e2c, 0xdf710290, 0xe0efe443,
+    0x1470cf1c, 0x658a82a8, 0xaca4aeb7, 0x978edd42, 0xfcc2568c, 0x8d056b49, 0xa70d51c8, 0xfa5ef272,
+    0x81c20ddc, 0xd14bd05c, 0x2f1afce2, 0x417420fd, 0xf3d7f9f4, 0x0de3bb95, 0xc7d5584c, 0xb512e65f,
+    0xce8457ea, 0x47985872, 0x717e6c33, 0x8aae7a47, 0xce43f9da, 0x009f4c19, 0xcf1497ff, 0x5b3816e5,
+    0x0f065bb2, 0xd385ee5e, 0xa63ac293, 0x9c09a697, 0x4873b3f8, 0x626c1f47, 0x827481d0, 0x4d61f967,
+    0x7b750fd8, 0xd1d17d5e, 0xbc31a34e, 0xb57d42c1, 0xf38ea2a6, 0xd499d265, 0x6c13a2ff, 0xedd2a7cb,
+    0x6a5c2811, 0xc270ad94, 0x74aaa994, 0xa66697f7, 0xf7b00fe2, 0x9bef5b01, 0xfa88b4a7, 0x0ebd5ac9,
+    0xac85480e, 0x833c2646, 0x1fc72984, 0x4e4ba48d, 0x91c287c4, 0x135369c0, 0x5df8f482, 0x007913e5,
+    0x36bf9324, 0xd05db900, 0xa601d658, 0x2e2cb73d, 0xabbfee89, 0x722afcbc, 0xc8f693bc, 0x1763f6b8,
+    0x63076a38, 0xd930ce1b, 0xbec96ccb, 0xfcea8325, 0x96842650, 0x529d75ad, 0xf51ddfcc, 0x2df65c76,
+    0xe39fd4ae, 0x9d8aaf32, 0x653474fd, 0x1882c81d, 0x10a796fc, 0x1797282f, 0xb7a2c4c1, 0xe0a983c0,
+    0x41bdef8c, 0xbee06975, 0xca0c74ff, 0x926ee964, 0xaaad397d, 0x24d3536c, 0x0c591503, 0x395de375,
+    0xa723c231, 0x90c64422, 0x5df1f569, 0x26c98676, 0xe7cee22a, 0xec4c8090, 0x52cb2382, 0xce2cb05f,
+    0x54bb5ff8, 0xf02c90a5, 0xb84b1f1a, 0x72494c48, 0x2b3e92cc, 0xb24189b2, 0x8e8f1499, 0x60a88578,
+    0x9baf4bed, 0x3c4785fe, 0xcd8b9a1c, 0xf96e0a88, 0xd1ee364b, 0x8ff2e2a4, 0xeff1a5a8, 0x39bbb232,
+    0x8e720bb3, 0xb4581e20, 0xf2af27d7, 0x518296c3, 0x1a2e0ba1, 0x8a5b12f7, 0x4ad9f119, 0x9bfa3a51,
+    0x52d796b7, 0x45ae9c20, 0x8eb12b11, 0x93c8ad2f, 0x658cb533, 0xbf89971f, 0x1333c638, 0x36c413dc,
+    0x67886cae, 0x4c035658, 0x0586bc3b, 0x18ccb77d, 0x8295b8fe, 0xeb5b26ab, 0xa32c6f74, 0x8f4e7fba,
+    0xbdac7f0d, 0xcf78bc14, 0xacefc905, 0x4268d271, 0x654012df, 0x7c83e2a2, 0xf0bea56c, 0xbd1faa44,
+    0x83600662, 0xc44e9f33, 0x7d93e7ac, 0x07df435e, 0xbecd431a, 0xb31cda32, 0xdd0b494f, 0xc60e4fc7,
+    0x7f112617, 0xc619eb9b, 0xf9c7ce12, 0x2a626503, 0x75a74482, 0xe059340f, 0x5f3217e2, 0x646a5686,
+    0x59019b9f, 0xfa7eb784, 0x5969ecb1, 0xfc7b7c11, 0xdd5ffea8, 0x9bd4739a, 0x7e61387e, 0xc3c513e9,
+    0xef466020, 0xb0f64f08, 0xd9e2a64f, 0x6c7c6bef, 0xd3dca908, 0xd4945ee2, 0xea16f15e, 0x8332a80d,
+    0x64f5159c, 0x1e409835, 0x8a9913cc, 0x4dd3ba61, 0x72515c65, 0x7d4b70da, 0x8cdc812e, 0xed83584d,
+    0xbbbbd8fa, 0x9ea9dfc1, 0x3128f258, 0x3726d580, 0xeed7b13f, 0x13ca386d, 0xb726645b, 0xc455a430,
+    0xb1314a34, 0x773baef0, 0x8e6bb160, 0x71420a85, 0x7a15ff80, 0xe2cc3f16, 0x1f3c5b80, 0x4563d90b,
+    0x746e43a0, 0xdf818257, 0x9eabf356, 0x90ae47ad, 0x337a71c6, 0x436bbf38, 0x14b5d6fa, 0xb745a17f,
+    0x497c1f5b, 0x34110c2b, 0x29835176, 0xe8251be7, 0xfc4c31d8, 0x7ae86a9d, 0x422d569f, 0x5e80e9f3,
+    0xade029c1, 0x9f7638d0, 0x1c8ae2e3, 0x9fc4f93b, 0x581a8fc7, 0xa9939108, 0xa2501a79, 0x293b7c6a,
+    0xde1b506b, 0x89b740c4, 0xb123f730, 0x00099216, 0xfb475a96, 0x1f0ed4f7, 0x5dd900ad, 0xc7da1dfd,
+    0xdf28d6fc, 0x2cb9d990, 0x8b48f913, 0x070dbc49, 0x796d91af, 0x19a0d98f, 0x1dd2dd6d, 0xb0b01fb4,
+    0xcad64d1d, 0x750c4159, 0xc4877777, 0xdafede86, 0x502559c7, 0xfa388c60, 0xbd0df105, 0xecea43d1,
+    0xbbe775ed, 0x1befd62c, 0x58ebc188, 0x56e06da1, 0x8d19d930, 0xb3352f4b, 0x3442f563, 0x99f7b91e,
+    0xf51a690e, 0xbe0ae6c2, 0x1bb45ec9, 0x090d886c, 0xdbb62192, 0x3c35520c, 0x0cca5c0a, 0x966ae38c,
+    0x7e70f6d2, 0x887bb6ab, 0x404bd23a, 0x42c69884, 0x0546182b, 0x58f2d2de, 0x44087c47, 0xc350a48f,
+    0xdee5ecf3, 0x6659eece, 0xdad3b402, 0x0bd71bcb, 0xdd8d2fbc, 0x77c4c89b, 0xfe7f3dce, 0x74163a39,
+    0x4ebb355f, 0x5742088f, 0xce3213b8, 0xe84ece4f, 0x0c0ed281, 0xf487641d, 0x028568fc, 0x4d5887c0,
+    0x8a8b299c, 0x3b5bf673, 0xd5e655fb, 0x418b20b5, 0xa0e2b2bc, 0x6190bbc8, 0xf0c5be3b, 0x920bc7d2,
+    0x3f8fa49f, 0xd78d7502, 0x2dc62378, 0xa1dae88f, 0x1e454b3e, 0x7a533bb9, 0xfcb809ed, 0xe5fb09da,
+    0xbb3794c1, 0x6e1f12d2, 0x03bb1ad3, 0xa11c9ba0, 0x5eb91ed6, 0x6a8ce399, 0xd8c91e9f, 0xaf68c764,
+    0x6bb89f77, 0xf41e4ce6, 0x8ffeee4e, 0x6aac6717, 0xe78c69f3, 0x8c629895, 0xcfea3d11, 0x8ffc84dc,
+    0x34baa126, 0xa9dbd595, 0x8eb241bb, 0xf3646cca, 0xe507e2d8, 0xda0d28e2, 0xa5c19bcc, 0x9b6d39c7,
+    0xec732ce6, 0x0f70364e, 0x44a618b5, 0x9010438d, 0xd5336a8e, 0x934289e6, 0x032afd9a, 0xe4411ecd,
+    0x64649645, 0xd3568d67, 0x49c2de95, 0x49d4d0fc, 0xdcef295e, 0x662b2fe7, 0x844e49b4, 0x8b2c4a75,
+    0xc570e02b, 0x2510fd0e, 0x02be9dde, 0x82cc4607, 0x241e4b11, 0x9ac0c6e5, 0xb10d5d8d, 0xa77778f5,
+    0x11733203, 0x0c6404c8, 0xcc20f69c, 0x5de7a8c1, 0xe09878eb, 0x36d8e532, 0x4cef62f4, 0x52fa8fdd,
+    0x8e290a5c, 0xd143d33c, 0x7aaec965, 0x24578995, 0xc933cb75, 0x39f2153a, 0x89aeb8ae, 0xec4adcf4,
+    0x74752a0c, 0xd1de488e, 0xe6b59c71, 0x3bbad656, 0x142060a7, 0x8f875943, 0x56db2db0, 0x2e386e67,
+    0x4f5c13b1, 0x88ae92b2, 0x7f621f4c, 0x3aa91054, 0x427081eb, 0x3dbba334, 0xf1f2ab69, 0x964dc53c,
+    0x5eb59aed, 0xa97985b7, 0x368cfc8b, 0x2f93d7f5, 0x0a2adf98, 0xd53a9a87, 0xcddc7541, 0xcafdcc7f,
+    0xbada2537, 0x54112e6b, 0x4757cbe5, 0xd17cb2a4, 0x3e766e2d, 0x872ebcf1, 0x0449e1f7, 0x317fadf1,
+    0xebde1ad5, 0xf8b81595, 0x74d1d023, 0xbcd7df43, 0xfc13fb13, 0xf02d62b4, 0x9a67ec34, 0xd074e300,
+    0xa971581d, 0xd68b9a90, 0xb692c432, 0x3f4c1cac, 0xc76e4596, 0xfa318539, 0xfe876c21, 0x00013812,
+    0xaa48f7de, 0xd22f1691, 0x09b0eb80, 0xfc074bc6, 0x1b12c1ce, 0x0322150d, 0xc7aac30d, 0xfd9f1b89,
+    0x8ddb3a7c, 0xac612077, 0xe005b644, 0x9b16818a, 0xa34e80f0, 0xd3744a6a, 0xb63f009d, 0x21446e31,
+    0x086a001a, 0x47f48d08, 0xc7e60725, 0xe886c710, 0xced5b9a4, 0x1d1540d8, 0x718fb63d, 0x06a98b98,
+    0xf8255dd5, 0x3dc59ead, 0xf04d9551, 0x9536039b, 0x486e02af, 0x80516029, 0x71d47676, 0x07b1cb76,
+    0x8d856f57, 0xeac69246, 0x3be7cf71, 0xf6f2eeb2, 0x516cf145, 0x0e257861, 0xd358c029, 0x0e7634d1,
+    0xdd19badd, 0x8eaca81b, 0x9003d0e9, 0x5e5b4771, 0x26f350cd, 0x1054382e, 0x97e38bfd, 0x59093b60,
+    0x19aaf72d, 0xc47ab80e, 0x4494cbab, 0xcd09a4ef, 0xd46060e0, 0x52a41a2d, 0x4b93dc11, 0xa46c8a59,
+    0x701bb3fc, 0x7a8bd5a4, 0xfa1052a5, 0x3365de4f, 0xa74e6b8c, 0x80c550e6, 0x6b69d1f6, 0x178ec2f5,
+    0x4cf910b2, 0xfd58c08d, 0xd7ad334f, 0x4643f2f7, 0xe060180f, 0xb9d7896b, 0xb4df8f3c, 0xe9729695,
+    0xaa2d3a46, 0xe39867d6, 0xf19a9c79, 0x634b949c, 0x67698f2f, 0x87cb7def, 0xed163574, 0x45f97560,
+    0x6e7898f3, 0xb1d51b93, 0x71b2d854, 0x17402300, 0xabd4968d, 0x70b6fb92, 0xc0c3cd2a, 0x15ace49d,
+    0x94e103d3, 0xff199080, 0xc70dca0b, 0xf379b507, 0xcf84811f, 0x705515d9, 0xd60cd288, 0x6702a7fe,
+    0x98c8f959, 0x3370f50b, 0xa50b0c46, 0x9b457f21, 0x514f4016, 0xa306189a, 0x6086841f, 0x52c5a8b9,
+    0xbef0e82d, 0x0e08d18d, 0x3c1d1241, 0x76cbb267, 0x675ccc83, 0x662497aa, 0x82b55c1c, 0x04d52ea2,
+    0x6896ba45, 0x844ba7a0, 0x4d1602f2, 0xc0eb8284, 0x26bca26a, 0x93072745, 0x2debd690, 0x2c0a1503,
+    0xb8a39dec, 0xaff6f72f, 0x6b1f92ee, 0x304d11d3, 0xf584ed6b, 0x86c51346, 0xcde873ba, 0xb7aa8ef6,
+    0x4ff1b1e1, 0xaecb5d5a, 0x87983741, 0x5e9075e3, 0xfb6e2495, 0xc1387abd, 0x012fdd95, 0x880dacc2,
+    0xe34cef61, 0xc2b97f12, 0x97dbffb6, 0x14300009, 0x8f1b3fc3, 0xf9782f7f, 0x94f0ece6, 0x62a75e0f,
+    0x9ebe814d, 0xb554511b, 0x53507424, 0xf4f3a348, 0xeb74bc44, 0x657d818b, 0x56565175, 0x4f3f1f0e,
+    0x8f866882, 0x43321b05, 0x4b13e9f5, 0x333d1df5, 0xc7ef2d5f, 0x5fe4d740, 0x2bb6a53b, 0xe1fe630e,
+    0x49851768, 0x345b5b70, 0x37d71d56, 0xfabc8e8f, 0xc99a57f3, 0x9955a481, 0x07ec4f95, 0x757211f8,
+    0x6a5cef40, 0x43d6a603, 0xbc523e26, 0xf9581565, 0x6f91b0ea, 0x4aea4222, 0x4900a1aa, 0x81bfe343,
+    0x236efbf0, 0xc81f67e4, 0x800252ea, 0x8f5b8ed9, 0x53e07108, 0x5c29edf8, 0xb60844a1, 0x7c275e9b,
+    0x31da86b1, 0x5dcaad4d, 0x168430ec, 0xfdc0c991, 0xd5b5b674, 0x3c3c3f31, 0x7e108f8d, 0xb69cd29f,
+    0x9c748092, 0xa6cf4934, 0xf69983de, 0x1c438bb8, 0xdc434091, 0xd6b61bd2, 0xb2d9714c, 0xd377763f,
+    0x2e008463, 0xe6f484e9, 0xed510096, 0x3dfc5ac3, 0x84343bcb, 0x8f7e599a, 0x0d1a1eae, 0xb4a5f1b2,
+    0x6683c771, 0xf287dd7b, 0x5a636018, 0x8932437b, 0x23a2542c, 0xe1da3841, 0x4cfa455c, 0x9e92f6c3,
+    0xe3ed8adb, 0x19be49f0, 0x4fcf3567, 0x2eec9638, 0x167315aa, 0x48bc4e60, 0x3bba7b89, 0x6f2b12d1,
+    0xb4feef5e, 0xab8819c2, 0x4ea59bea, 0x621831af, 0x5cb3dad2, 0x793bb4e5, 0x4c3f3539, 0xdb2e51a3,
+    0xab084b80, 0xcf813111, 0xc017c103, 0x9bfdd5c5, 0x1ca4ee27, 0xf263a25d, 0xef2e3fbb, 0xafb2f009,
+    0xa8831a20, 0x5c8453c5, 0x0653a5aa, 0xe655726a, 0xb6a75537, 0x87d58636, 0xcae176dd, 0x6bd39d58,
+    0x684b5610, 0x179e7472, 0xc56d4951, 0xcec788ed, 0xd22fd950, 0x114890b8, 0x0730c3fb, 0x47144826,
+    0xa24a582b, 0x4fc3b3bf, 0x4641c727, 0x0ce6b4c5, 0xbeaace4a, 0x3a55fc67, 0x22177b7d, 0x890306d0,
+    0x9e2df205, 0xe00f34f8, 0x914940f4, 0x588cf8ab, 0x5816b98c, 0xc321cb6f, 0x9eaa9b10, 0x1e7ddfad,
+    0xcb44b528, 0xa48d2f69, 0xb92931c3, 0xfed0781b, 0x81dc0f41, 0xe4216835, 0xca015b24, 0xd89be43e,
+    0x24f3553d, 0x2c8a79f3, 0x529cd1af, 0xdcd4c5e6, 0xa0211697, 0x6cbcec99, 0x4b159f85, 0x95ea87fc,
+    0x32d4bedb, 0xfb81b214, 0x7dd5ea22, 0xcec8bf8e, 0xddc4f0bc, 0x2b828bd3, 0x50ce060c, 0xf41cea4e,
+    0x7259b985, 0x9f6075e2, 0x77bef525, 0x50401ce7, 0x2442ff52, 0xbe6bc7e5, 0x30596f50, 0xc45dd1ae,
+    0x55eadd09, 0x9eebb542, 0xe94f8121, 0x216d2e53, 0xdc598263, 0x93920a8f, 0xaf206f45, 0x357b8912,
+    0xe9d80943, 0x9e5cee55, 0xcdb4d883, 0x90b8ea11, 0x3a78a631, 0x501f981f, 0xeed486f8, 0x9972284e,
+    0xb499a002, 0xd63a77c1, 0x8d02f0fb, 0x1c4d153b, 0xa3bd5115, 0x76bd868b, 0x606c76f8, 0xb3bb79be,
+    0x7101a723, 0x5faf2ad0, 0x653dc34e, 0x66dea1cc, 0x18dae712, 0x37b472f4, 0x311ac13e, 0x29b308cd,
+    0x5ac598cf, 0xc8dd767f, 0xfc1d26fa, 0xc01b2acf, 0xaa5860dc, 0x91183682, 0x5de24b66, 0xd6d2d3b1,
+    0xc2e00fbc, 0x3720f600, 0x1efd2ec4, 0x6916de80, 0x1a0c9101, 0xcd6b6011, 0xbb686dfa, 0x9afc2ffa,
+    0xd31a955b, 0x70202a76, 0x26162079, 0x3a70ce57, 0x336d7fa7, 0x7f5f5ab3, 0x575e3f38, 0x7d41ecb2,
+    0x4d280f28, 0x5b009b7b, 0x913e25b8, 0x74bf49f8, 0x09e00204, 0x69b04364, 0x6182ae33, 0xc13ee3b7,
+    0x3d64dd68, 0xfa771a78, 0x40e350f9, 0x08d2dfe5, 0xc5c277ef, 0x5ffb6c1c, 0x0beb6010, 0x819f53b4,
+    0x53fa8028, 0x244e6529, 0x2e1573b4, 0xeda4dcdc, 0x2aba2235, 0x267174ad, 0xc55d9165, 0x56745238,
+    0x0dd661c6, 0x6eabdf94, 0xc3092cfc, 0x692162c0, 0x66f1aab0, 0x86a34533, 0x7fd97a7f, 0x6768cb39,
+    0xf9be040e, 0x8f576252, 0x1cb6c30b, 0xda3b9956, 0x6edee197, 0x7d923a3c, 0x95be4316, 0x0830648a,
+    0xd7961eba, 0x61f7dca2, 0xb680d1d5, 0xb39adb1c, 0x793f2ca8, 0x8f43f819, 0x3ee20ff3, 0x1494a15b,
+    0xbd8603e3, 0x26d3472b, 0xc81fb18b, 0x7b8ad349, 0x2172ba99, 0xcff02c7c, 0x6bdb0503, 0x9d89729f,
+    0xa7adbea4, 0x84ca33cd, 0x04b0f31b, 0x88b93f54, 0x3515e961, 0xba798089, 0x95b26472, 0xa4ed3578,
+    0x055afea3, 0x22101fb3, 0x1c3b44bf, 0xfe5b8706, 0x5d8f0b20, 0xc86ea5e5, 0xffb8bc8c, 0xfc7a2cbf,
+    0x82c18516, 0xef018711, 0xd68f583c, 0xc9aea0b1, 0x14ede758, 0x4a614874, 0x74568d33, 0xc78c7163,
+    0xbaf8c226, 0xee346a88, 0x3b6f9c1e, 0x10d49c33, 0x359a72d4, 0xd5eed8ae, 0xad762110, 0x314b24c1,
+    0xbe927e5c, 0xf6ed5e05, 0x78b6276d, 0x4f61dab4, 0xd0a45a6b, 0xb2af94ef, 0x1ac18066, 0x8b006fc5,
+    0xd5282948, 0xcf26e6e2, 0x00757011, 0xda2562f1, 0xc2a646e0, 0xaf28042b, 0x67e71baf, 0x07b2de5b,
+    0x6d529097, 0x711afd17, 0xf39f5ab8, 0x3e1e91c9, 0xf967cef3, 0xf28b0c48, 0x202bd7b1, 0x42a066fe,
+    0x7608cd22, 0x3d034731, 0x47ed7005, 0x6febbd92, 0x3644816d, 0xb1572d5f, 0x7c5ec859, 0xac2e5f72,
+    0x8c143fc1, 0xbfd84b3d, 0x958c9de0, 0x0e84b8bd, 0xd68b1863, 0x00169093, 0x864dd192, 0x21a2482a,
+    0x69329dee, 0xe3177dbc, 0xa66c7896, 0xa12655e1, 0xf1b90689, 0x00815a14, 0x1f921e17, 0xa95f878d,
+    0x1e0ff0a8, 0x7e9ef0b7, 0x0692bea8, 0x1fa86a35, 0xf65a103d, 0x99451124, 0xc5581f7b, 0x6dfa5a31,
+    0x35715c67, 0x302d2204, 0x9c1da9f0, 0xd7f22b1e, 0x0aeb8fc8, 0x584b7669, 0x52c930c6, 0xb5f6a7f6,
+    0x00000000 }, /* 10**-00000000000007621456421669902908646477611799722426144038434240652223777238670\
+                          96038022172794340849684107193235344521442121855812163792833978437326241529856 */
+  { 0x00000000,
+    0x3fffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a,
+    0x6fefa30f, 0x4c5f335e, 0x042c455c, 0x18b83b68, 0x2a938a5e, 0x853d7942, 0x36ff5346, 0xb56601d2,
+    0x00000000,
+    0xc8d1a0b6, 0xde9a0bca, 0xb5d8f80b, 0xfe8f0316, 0xda70c421, 0x6d754328, 0x389c462c, 0x03eb78c7,
+    0x9482e3cf, 0xccdd4050, 0xa126e771, 0x8b18f7e8, 0x9100311a, 0x03c0e8fe, 0x2d604945, 0xdca3861e,
+    0x669e8096, 0x023bcfa3, 0x1450182b, 0x068177be, 0x2f04406f, 0x449511cd, 0x19804c28, 0xe0c90243,
+    0xf283fea7, 0x7c853a32, 0xd17fc531, 0x176442f4, 0x709ae77b, 0xd1f6f1ed, 0x1628d193, 0xc5459c1b,
+    0x8f9d1752, 0x4200f429, 0x0750e49f, 0x0b66def3, 0x740d8af2, 0x8d9bb5fa, 0x8380d41f, 0x4fd5b3cb,
+    0x1929d419, 0x9e72d4fb, 0xc9d12a74, 0xb3337e62, 0xa2e08c8a, 0xe8d0dfb1, 0xfdb1619f, 0x4bb1394e,
+    0xc5727f99, 0xce3d27d3, 0xa866c8b5, 0xe4c898a0, 0xaa549913, 0x39ed31bf, 0xbf5fbdbd, 0x05cbed2f,
+    0x2a285868, 0xf5b73559, 0x0821b37d, 0xc7d97632, 0xde0f9ee5, 0x05c95bc2, 0x9c373f51, 0x1d08be7e,
+    0xe414e271, 0x429dadf7, 0x8dfe114a, 0x3faaef4a, 0x5d2e3145, 0xaa4df1e0, 0x6fdc520b, 0x23de70b9,
+    0x590ca967, 0x76cbe5b7, 0x90a0558a, 0x0d9620a8, 0x8fca2ad9, 0x54335202, 0x5678f192, 0x55584793,
+    0x4c7af26f, 0x7f9c9061, 0xc95deaf4, 0x68712a0a, 0x4ffb7d87, 0x1397d285, 0x595ac0dc, 0xa772995b,
+    0xe5d04787, 0x6be76a56, 0x871e6f12, 0x5826cf5f, 0x65deec24, 0xd80ddd8b, 0xbe245347, 0x1788f007,
+    0x84c40b26, 0x5f9a55f5, 0x49471d3a, 0x36b6e53e, 0xfe1919d2, 0xa590989d, 0xf06f67fa, 0x75feda66,
+    0x37129446, 0xfb60615e, 0xd7f332df, 0x3b974116, 0x5731ae2d, 0x22586b33, 0x094fbe20, 0x6be4ceea,
+    0x0e036f11, 0xed3dfa55, 0x3c380063, 0xd3a46640, 0x7f9133bd, 0x7dc3532d, 0xdcd9f9fb, 0x2a7107fc,
+    0x7f6473ec, 0x1a434345, 0xfcf652f9, 0xff0bb571, 0x1e996cc5, 0xf06adb32, 0x408f908d, 0x4833f4d4,
+    0x97710c53, 0x0d89ecb0, 0xd71603eb, 0xffeb14ce, 0x4debc30c, 0xdc747b0f, 0x5209bd3d, 0x3dc1b85a,
+    0x5704556f, 0x4584d8c2, 0xaf02e178, 0xe74bc0e9, 0xed8808be, 0x0b38e5ef, 0xd481acc2, 0x19156395,
+    0x58d38237, 0xcfbfa28c, 0x16d3d4e0, 0x5a13ec9f, 0xabf6ec8d, 0x24cba058, 0x04c0a610, 0x262e87e6,
+    0x881ae6cd, 0x9c4b8fe7, 0xa5c1015a, 0xd4f5436f, 0xd2f3ea10, 0xe2bee65b, 0x08b6ee43, 0x9f5ab86a,
+    0x7574a980, 0x12f9b3c4, 0xcf9823d9, 0x3d66bf6c, 0xfadb30af, 0x73a6ebba, 0x57a27d69, 0xd682e425,
+    0x5a9b6163, 0xedd5c2c4, 0xd7a9f6c7, 0x6a1e790d, 0x85ce4b8e, 0x8ee06e91, 0x99321f37, 0x81618b1f,
+    0xfa17b81e, 0x895a0705, 0xea19675b, 0xde9f7bf9, 0x32d29313, 0xc60bccea, 0x657161c3, 0x5ddf9159,
+    0x340eabde, 0x1d0f7086, 0x788ecdb1, 0xa157611d, 0xef792bcd, 0xeb8f038b, 0xa7f3e8e1, 0x4e4d3965,
+    0x888a4161, 0x1e369a07, 0x263c0e1a, 0x83afeb4c, 0x3bcd11e4, 0x09539082, 0xedbd621b, 0xb7657cd4,
+    0x4ca75eb5, 0x689bf5a3, 0x0832c3f4, 0xde5c5bca, 0x3b1c9c20, 0xa7a4aa5f, 0x56433b11, 0xb1d15551,
+    0x5c009fae, 0x77c2fba0, 0xed0c38e4, 0x96e7f88f, 0xd8ab205d, 0x58c9adfe, 0x044a0b78, 0x810788cd,
+    0x4cfa3fad, 0xdb1b41ef, 0xcd087f7e, 0x3a2b4ae3, 0xb833154a, 0xb4985e8f, 0x16d2d4f9, 0x03eeb9b9,
+    0x72476701, 0x715a6f71, 0xd9d39257, 0x6d53aa6f, 0x833458e8, 0xd9573a81, 0xf35a32c1, 0x110bea82,
+    0x0e13431d, 0xdfecab13, 0x81c31d6a, 0x208cf815, 0xa254c472, 0xf30c65ff, 0x7bab8ae0, 0x0d609ee4,
+    0xaa8907a1, 0x48ebb53f, 0x259c5b0c, 0x04ce45b1, 0xfb0dd623, 0xe34a5b4c, 0xb2031ca2, 0x910bb1e3,
+    0x118c4a98, 0x73e39dcd, 0x83d018ea, 0x153bd743, 0x6296c38c, 0xf73c1ee6, 0x634ee33a, 0x9bd99f28,
+    0xb321b5a4, 0xbd7b98e0, 0x63c9e87b, 0xdf9bb345, 0x0e5c50e8, 0x48b7acc4, 0xdb539b9e, 0xf6ac9d9a,
+    0x7ff9612e, 0x9d2d1975, 0x537c1e38, 0xeb5a84cb, 0x2f7c92a9, 0x79d04c27, 0x28393289, 0xabb5ad36,
+    0xd1633d38, 0x25554c22, 0x62b8bcad, 0x0df2222f, 0x21c2b15c, 0x79be4af4, 0xec13d5b6, 0xfbf8ce0d,
+    0x7c65ec71, 0x7922adf9, 0x89bf7678, 0x49dd20e7, 0x41b69edf, 0x27d8c419, 0x9f250157, 0x4a558909,
+    0x96056acc, 0xae171b16, 0x8851b6e5, 0x54224d6b, 0x9e0c34f3, 0x50d19516, 0x6d5bcc79, 0x146e7c39,
+    0x14198f2f, 0x20d739b9, 0x0328922a, 0x64f3eb76, 0x32f1128d, 0x7ea8fb25, 0x473f21df, 0xe5d6310b,
+    0x29a1317d, 0xcb616c3c, 0xb2dd8476, 0xc41796a1, 0x867611bf, 0x4ee3f030, 0xd8611c20, 0x3dea729e,
+    0xb3be1678, 0x5dfaab4b, 0x00d2f8f0, 0x0aa7a8b7, 0x429159e6, 0x052d3c22, 0x2efb1530, 0xcadae69f,
+    0x59b2677f, 0xc9131219, 0x06b03b74, 0x95273b49, 0x21430a28, 0xbfdbe355, 0x6723e76c, 0xa95d4324,
+    0x66ce81ee, 0x2a261162, 0x779a3092, 0xcfac1e74, 0x74663a04, 0xc3520dd8, 0x0c818735, 0x2f277fef,
+    0x7ea67a2f, 0xd8e99582, 0xaa6c5a95, 0x825dbcdc, 0xe8ff639a, 0x1e7f3873, 0x22c894e7, 0x4a82a82c,
+    0x8f882ca6, 0xadc684d1, 0x755dd780, 0xff60b74c, 0xc80f4b56, 0x419d7424, 0xa650f160, 0xdbe5f671,
+    0x68507dd4, 0xe9fd97e4, 0x9530899b, 0xf942f327, 0x18df3c19, 0x0931362a, 0x9fdfa871, 0xada79a38,
+    0xd7471859, 0x6dd1f9bb, 0x437dec89, 0x45e21e23, 0x99af1e77, 0x13470d82, 0xc865a522, 0x9e23491b,
+    0x06fbdecf, 0x6481bc52, 0xcd567f45, 0x5eff575d, 0x70ff0c87, 0x74fc0228, 0x0df0a307, 0x12fe3398,
+    0x82461c9d, 0x138c68f5, 0x5e3533b1, 0xa48c75be, 0x261b3dcc, 0xca16730e, 0x1207a5a5, 0x7c9f44c3,
+    0x018cfd63, 0x7c6cfaee, 0xd3748a22, 0xd07e8ce5, 0x6bf4d475, 0xa7b2df1a, 0x6062312e, 0xa3e5f4f9,
+    0xdc1e8cc2, 0x35621115, 0x30a65457, 0x237f80e6, 0xfd920912, 0xde8bdfeb, 0x395f1ad6, 0xf08f82db,
+    0x44e819cb, 0x7b668916, 0x66f85172, 0x33416187, 0x18b57908, 0xdcab08e7, 0xc8c2cb4a, 0xa390e24e,
+    0x61cc013e, 0xdf6e75b2, 0x278cbb59, 0x31f4ebb4, 0x84380bae, 0xa264bb9e, 0xd5015d10, 0x630294e0,
+    0x240d02a7, 0x840b955e, 0x5727827d, 0x8209e8b9, 0xc138d3ac, 0x417967f7, 0x5776adfd, 0x4af90590,
+    0x0673320b, 0xd127eae1, 0xd8315e43, 0x4b3ef949, 0x8cff0736, 0x30df77ca, 0xe3e64781, 0xdeb8c77b,
+    0x0361ef7f, 0x28fa58eb, 0x5cb7d1af, 0xf4457c8f, 0x6b83b9ab, 0x22abb471, 0x82fb2ddd, 0xcbaccd77,
+    0x35ae3224, 0xc8446445, 0xfd0e9ebb, 0x9c78efb0, 0xc21c3d56, 0x8daa14a7, 0xe86b9f41, 0xc03d5db8,
+    0x2ed5ae7c, 0xe317a4ca, 0x20684a65, 0x546e157b, 0x8fa28bed, 0xae7d2daf, 0xe7f9495b, 0x08b4d0a4,
+    0x7c4ec277, 0xadc7eed4, 0x7a848444, 0xdaca63ab, 0xe55194ff, 0xc78c3fb9, 0x8826e7be, 0x3d88ca7f,
+    0x8d29a418, 0x805d6242, 0x34a97491, 0xb9f3068b, 0xbd2f8d06, 0x547a1fc0, 0x983856f4, 0x99563326,
+    0x98d1cfc3, 0xb9b952a3, 0x8ade4dce, 0x2a041fd2, 0xb6e5e7fe, 0xf45378b4, 0x998b46e2, 0xee721d03,
+    0x65e80bc9, 0xa41c36de, 0xc60a9084, 0x5dbecd9e, 0x2741afa7, 0x7fd11aa2, 0xdd021bc6, 0x860d0c14,
+    0x7617d0c5, 0xd23d406d, 0x2b968ee7, 0x40af92f1, 0x5d1003a0, 0x867beca6, 0xb9fd0cd2, 0x4d5cd5f2,
+    0x060ac331, 0x7b4d96c3, 0xc37e8dc5, 0xb85f4a62, 0xbe9e6a6f, 0xe5efd603, 0xc1ea4117, 0x8b2f0d6e,
+    0x84a0fa00, 0x0b2b3cce, 0x43031455, 0x3b93baca, 0xd188bbac, 0xecedf996, 0x28dd0e75, 0x4acede9f,
+    0x4278886c, 0xbda29999, 0x76567ec9, 0x8d7a5750, 0xa275247e, 0xa8efaaae, 0xecaabd9f, 0xfc79e215,
+    0xc80c8b70, 0x2cb36dbe, 0xd10503a2, 0xdfd6024c, 0xe613e872, 0x4e213b0f, 0x8470780d, 0x0c83119e,
+    0x74b662e4, 0x1cb68226, 0x1fb099c3, 0x7d5fafab, 0xe6c6ed11, 0x2fa7f5d1, 0xa13ed108, 0x711598b2,
+    0x3fa88265, 0x0c64b44b, 0x3c4cae40, 0x9c9a93fd, 0x2fd3ed30, 0x51615d96, 0x15e775fa, 0x514ae6ac,
+    0x66e62f55, 0x779417e5, 0xe80d2b41, 0x03771719, 0x8d40ed76, 0x1f0121fb, 0x448f755b, 0xf5fa008e,
+    0xd75a339f, 0x1669ea6a, 0x51f7e1f8, 0xf85a2100, 0xb855d825, 0x0e7a4445, 0x29979480, 0x9b6466b6,
+    0x7cde93df, 0x37ba41b3, 0x9c18025c, 0xde534f29, 0x08fcdbc7, 0x20485dfd, 0x317aca15, 0xb51e8ac7,
+    0x5fe8b34f, 0x4f5fffb9, 0x43e2d913, 0x7e8a987e, 0x8c12e275, 0x5c484e43, 0xc814c786, 0x354f91a7,
+    0x10d40555, 0xaa919532, 0x5fe9b8aa, 0x28c776e3, 0x8fb422a1, 0x65f3c89b, 0x53aa9dab, 0x350406bc,
+    0xe39015ec, 0xe480d5c1, 0xe5b945bb, 0x2a5a5c98, 0x315cb2b6, 0x03a9ffb3, 0xf7c5339d, 0xe513dc1c,
+    0x9badc45a, 0x05eb31f1, 0xda336475, 0x8e8fcaf1, 0x018ed297, 0x357379b7, 0x1f8cadd4, 0x1739fb75,
+    0xfb0d9a3a, 0xd4a9c855, 0x28761872, 0xba093f2e, 0x868632ce, 0x8f4c2430, 0xd4720359, 0xd17865ec,
+    0x53b64fe3, 0xbd414b48, 0x3b4735ca, 0x346746a3, 0xcdc8d5fb, 0xeb956956, 0xf461ae81, 0x92b90a40,
+    0x96c36cf3, 0xa26e4ed1, 0xf1c12d41, 0x1e1d6273, 0x2209bb84, 0xc11e06ab, 0x15543ad3, 0x032ecb4e,
+    0xce80f4de, 0x40886834, 0xaaa8dd89, 0x0f9b4498, 0xb260fea5, 0x1c05605d, 0x67fe7291, 0x8daaf79d,
+    0x79bb36bb, 0x5dd98507, 0xd590f51b, 0x63dcef1c, 0xd1335bb5, 0xd286150d, 0xb810c3da, 0xe9234016,
+    0xd2b34484, 0x2894f216, 0x5831acd1, 0x3dedcf28, 0xd0b31263, 0x2e6e6d2e, 0xb61a77bb, 0x2ae95077,
+    0xfa75d349, 0xf341b9ad, 0x0657b75d, 0x896156c1, 0x02d25b18, 0xae79df5f, 0x1c9cb1de, 0x695ad527,
+    0x3ff7df89, 0xa3b81808, 0xe3f523af, 0x9f21da9d, 0x28e65686, 0x853592ac, 0xe4d13d54, 0x268cb496,
+    0x1e60f618, 0xcadefde1, 0xd81b6ea2, 0xf49c2851, 0x04cd392b, 0x27edfdcf, 0x548607f9, 0x48c07bce,
+    0x23bf349b, 0xa640ae11, 0x4fad2f6d, 0x5aaaddf1, 0x363c4416, 0xe62cbf38, 0xdd1e2d94, 0x09667014,
+    0x4ba2bc7d, 0xe8dd251e, 0xd999d250, 0x2a931a88, 0x1e5eeb50, 0x1b523cf0, 0x160cfc4f, 0xc449dcc6,
+    0xda1c0f04, 0x522ef9b8, 0x1a43fdbd, 0xc9fcaf03, 0x2477d227, 0x308e3c57, 0x73f0d09c, 0x56dec1aa,
+    0x17c7b813, 0xd6d09bd8, 0x68d442df, 0x0723a79f, 0xa2613cd2, 0x58b01fb4, 0x62c9d2f0, 0xd10279dd,
+    0x69e7a0b6, 0xce50e4da, 0x2e458e30, 0x6fa3a377, 0x315f9f5e, 0x3382a77d, 0x8fd30dc6, 0xe8fdbf75,
+    0x2214d022, 0x9d69eb0c, 0x8c17ddcc, 0x8a836f4e, 0x2337c11e, 0x2e7b7591, 0xd1efcc50, 0xb8555ba2,
+    0xac5c70c8, 0xb062ec24, 0x22a9f363, 0xb77019c0, 0x14a50193, 0x51d17ed2, 0x49104fa9, 0x4ddc4530,
+    0x62db69a4, 0xb839624a, 0x903945c5, 0xa6783343, 0x930b7c55, 0x50fdcba8, 0xc7256ba8, 0x4db891cf,
+    0x94bf9efb, 0x88849ef1, 0x8aeca39e, 0x317f1e08, 0x2f4b591c, 0xf47896e9, 0x29cc02c2, 0xaaefc31f,
+    0x96562e33, 0xaf0113eb, 0x467ac4f0, 0x51ed12a4, 0x5432bdd5, 0x8c7c6a7d, 0x1f9eb60f, 0x59fd177a,
+    0x526d2c10, 0x7b3f136e, 0x62141530, 0xc4057bbd, 0x8b8d6fee, 0x8b34c6c2, 0x97275f57, 0x430fc6fb,
+    0x9c06a70d, 0x60674ccc, 0x4e7845e6, 0x5d0c990e, 0x8868109d, 0x1ecbc7b5, 0x719809eb, 0x8a1f5b0e,
+    0x419cc599, 0x53f08a5e, 0x4ff81a36, 0x05891b93, 0xdf703f08, 0xaa7be46b, 0x2c28b42d, 0x5165a577,
+    0xb5047aad, 0xd537ba02, 0x61e3366c, 0x2c57aeb5, 0xb25ac450, 0x312b8600, 0x3c97bfbb, 0x8d3315d5,
+    0xc750a1ad, 0x0efc902e, 0x2f50b824, 0x453d0c65, 0xcacf12af, 0x90e451b0, 0xc675973f, 0xd49c9957,
+    0x5a38fb44, 0x32d0cb56, 0x47119b7c, 0x9e4d40b3, 0xc0347bd9, 0xbc95cde0, 0x0c1bbe46, 0x6db0ebc2,
+    0x12608aaf, 0x87b39db2, 0xf3cd86c6, 0x03a30818, 0x8e89df30, 0x487e353f, 0x4fa08c68, 0xd57f0f27,
+    0x00209d84, 0x0267b6aa, 0x9d1d1ff0, 0x2af42ce2, 0xcb559ac3, 0x802aa222, 0x5d67f3a9, 0x47eb8599,
+    0x612df144, 0x98aeb152, 0xe125a7e7, 0x012442c6, 0x19978c62, 0x784cab30, 0x44449c13, 0x68c07ab9,
+    0x13ab2204, 0xbd1ccd0f, 0x1cba6591, 0x44bc92b6, 0x57169dc1, 0xb0b26554, 0x2891e5c7, 0x8ca4b539,
+    0x1613c1cc, 0xd0b59072, 0xd144a53c, 0xfb9c4fc8, 0x794852bd, 0xd7b799bb, 0xb8b658e9, 0x397faf49,
+    0xdbb2f582, 0xab038b45, 0xdf214356, 0x69e0a9f4, 0x583f71e2, 0xbdb92eef, 0x5cc9ff57, 0x6f4550f0,
+    0x8121af3e, 0x3b9d67ae, 0xd9acebb0, 0x415e63d9, 0x973c3c31, 0x8cacd740, 0x33cda0ab, 0xdda97442,
+    0xa6afb5e9, 0xc73fcd1d, 0x1fc4615f, 0xdda877ec, 0x9f139d32, 0xcac2ee1a, 0xacc2f49c, 0xb816b831,
+    0xd68dc42e, 0x4d097cd0, 0xa88e54ce, 0x6641c982, 0xa960e44a, 0xb2c4c25d, 0x09c1cf67, 0x22d7bddb,
+    0xa9e8af73, 0x3a59c7f6, 0x8c2df29c, 0x082dcde1, 0x576ce85c, 0x7d5947ca, 0x796344a6, 0x5e92fe35,
+    0xed56c39c, 0x65c195cd, 0x45154834, 0x1a134e3b, 0x3d00aa25, 0x40707468, 0x942d09b8, 0x851a715e,
+    0xcd096e62, 0x0cdda13f, 0x32f873da, 0xcaaa362b, 0x2660cd98, 0x9caae01a, 0x3748ed11, 0x39eafdd7,
+    0x6b83080e, 0x0b622af3, 0x63a727e1, 0x860e3a47, 0x818db8cd, 0x9732d4bf, 0x695c213b, 0xecf03f5b,
+    0x80d09e2d, 0x763f7ac2, 0x3e966586, 0x20a431ab, 0x02e01433, 0x73570f06, 0xcacd7130, 0x1c7a47ed,
+    0x9aaa1cb1, 0x074e4e67, 0x7d2392e8, 0xc2f70697, 0x568196af, 0x99e30b7a, 0x865d9969, 0x3f2efac7,
+    0x4d85c62c, 0xfb1ba741, 0x40291470, 0x9070c713, 0x2991a765, 0x5c8d0880, 0x3601e74a, 0xcb09416d,
+    0x4dbf0ab3, 0xbf3728f1, 0xcc3b4cc9, 0x1a154104, 0x4375c429, 0x2a43689d, 0x23498e43, 0x4b36045c,
+    0xda5023ab, 0xb1bb3b78, 0xdf549a60, 0xb00555da, 0x3b7b6c52, 0x84797ea0, 0x56775e0f, 0xf862c46a,
+    0x7bfe6332, 0x1ce6157e, 0xc6c76487, 0x8b49f449, 0xd244a9d5, 0xc84e40a3, 0xb1ce9254, 0x350918e9,
+    0x2a30595b, 0xcb8e1d5d, 0x45303365, 0x2d76d919, 0x3c4f25c8, 0x757f9727, 0x84a62d17, 0xfc229b9f,
+    0x03e57635, 0xf5f85771, 0x6f92d8b3, 0x9ccf5f1f, 0xe26451e1, 0x34a27ace, 0x2feceb80, 0xc360ce24,
+    0xe2a4677d, 0xaa5785d6, 0xb5b9a6c5, 0xbe35e919, 0x76dc20a5, 0xd9e1d63b, 0xd5a65d9b, 0xe3b3cc46,
+    0xa58e99f8, 0xb766a709, 0x13bd936f, 0x2f6411d6, 0xd8244fb3, 0xd0b3a38c, 0x8feebd57, 0x5c27412f,
+    0x090ca1c2, 0x8b62575e, 0xa7675bfb, 0x3a770587, 0x3b11e04d, 0xd97c3202, 0x58f07937, 0xb8cd6a67,
+    0x402cf7c6, 0xab2bce2d, 0x8483d535, 0x368cf543, 0x74024f4f, 0x825a78f6, 0x57ceb283, 0x10a0b3e9,
+    0x87a8392b, 0xbc98df61, 0x355bd72b, 0x39fe03ef, 0xe373f362, 0x045b715a, 0xbbead46f, 0x2b9e6f98,
+    0x00000000 }, /* 10**-00000000000003810728210834951454323238805899861213072019217120326111888619335\
+                          48019011086397170424842053596617672260721060927906081896416989218663120764928 */
+  { 0x00000000,
+    0x3fffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495,
+    0x37f7d187, 0xa62f99af, 0x021622ae, 0x0c5c1db4, 0x1549c52f, 0x429ebca1, 0x1b7fa9a3, 0x5ab300e8,
+    0x00000000,
+    0xe2bca657, 0x4c106c52, 0x6bebb7c7, 0x915f882b, 0x51d1886a, 0x30d58557, 0xb21b3bc6, 0x60aaca94,
+    0xa3cdb428, 0x5cd30f74, 0x25f65d0e, 0x7c4ff459, 0x2f99e263, 0x080d3c3d, 0xda297726, 0x143db97d,
+    0x6c2df34e, 0x143b079c, 0x4748065f, 0x40bf7abd, 0xdceeacb8, 0x56422816, 0x195db52b, 0x9f0371ad,
+    0x03b91981, 0x8d9af44b, 0x5fb6efa3, 0x23a18e14, 0x24a3b0b0, 0xb457f6e5, 0xc24a8ae2, 0xc12f69d2,
+    0xde9e241c, 0xa22ddff5, 0x326f232f, 0x0b3ab7d8, 0x5a447a80, 0x31c2552e, 0x5ab6b656, 0x74dbd5d1,
+    0x7c4e55b5, 0x113dc048, 0x81ad2196, 0xd5787c71, 0xcc6bb69e, 0xabbbef80, 0x862d9b9c, 0x29375135,
+    0x87492f76, 0x40925f13, 0x95df3cb0, 0xd99c6fe6, 0x13b2e127, 0xaedec3ac, 0x9451b368, 0xa481baab,
+    0x45674947, 0xbf61a22b, 0xbcf0488b, 0x4724843e, 0x09f10fc9, 0xc543663f, 0xca680356, 0x81b5f2b9,
+    0x8e6db433, 0x64536284, 0x229f347b, 0x730abe56, 0xa5d425db, 0x42526e22, 0xe8a974d2, 0xbf1c3906,
+    0x021f9331, 0xbf8540b9, 0xed784139, 0x4ae0fb1d, 0xae233e62, 0x189110d8, 0x3741a61e, 0x5fc14224,
+    0xac8a9571, 0x0250290b, 0x7bed2a65, 0xbdd34f7b, 0x9406a13c, 0x5e2e7dee, 0x0aacd68f, 0x59f68120,
+    0x860d2616, 0x49c9a989, 0x0da17ea0, 0xe2c03903, 0x3da3326c, 0x7b4b1d38, 0xb8784b91, 0x57bea333,
+    0xc164820f, 0x1f6d2b97, 0x56b33444, 0x7825a664, 0x310f7cdc, 0xaee51a9e, 0x8c327c2b, 0x0b12f999,
+    0x932943fb, 0x71b0b80e, 0x4dd81c76, 0xd16f49a9, 0xa4dbd960, 0x13a618ff, 0xc81c7dae, 0xadc28756,
+    0x17e2a8b0, 0x5d5f0dce, 0x06c34044, 0xcbfc5dd5, 0x88d28ece, 0x19dc205e, 0x8794f9f9, 0x15eb8b7b,
+    0x9402edfe, 0xe6a865d3, 0xbd18f9cb, 0x835ed15a, 0x7cad78e8, 0x6d0a70cd, 0x8d0bddd2, 0xb861f552,
+    0x316fee62, 0x1a898e9d, 0x62fd5b76, 0x3485eb4f, 0xd1dc7284, 0x378bc713, 0xeaf1e933, 0x2df065ac,
+    0x0574b154, 0x57e471d1, 0x63bb11f8, 0x4030a6b0, 0x59fbe820, 0xc6bc1864, 0x460fc7f6, 0x5a60d137,
+    0x0b67f91a, 0xc36dd3ae, 0x685fb834, 0x8ceb9d8b, 0x042f3ef9, 0x18380eea, 0x7346c861, 0xcf0fda65,
+    0xe3f93d4f, 0xaef014dd, 0xed473002, 0xf10d0cd8, 0xf22aba4d, 0x4a8c78c9, 0x214ca16e, 0x96598287,
+    0x94502350, 0x274d02fb, 0xeeeb18a5, 0x2592c59a, 0x60d48cd7, 0x7ea8c6f9, 0x9fdf6b90, 0x8f541f31,
+    0x9ae92b0a, 0xcb18c0b5, 0xff3f8501, 0x72b37df8, 0x78fb6b72, 0x3b9b79ab, 0xfa52a369, 0x9f146d44,
+    0xf9abb80c, 0x85723ffd, 0x45cd705f, 0x1f02ea09, 0x646da451, 0xc828fc73, 0xa821d61c, 0x58dc73e0,
+    0x64f17064, 0x0a3ae3a1, 0xc2d07823, 0x542fc9ea, 0xaa9f0350, 0xaa8f601d, 0x65287cac, 0xf9eb71a5,
+    0x1dc88f26, 0x76a9d92b, 0x6545105a, 0xa046e7cd, 0x24cdded7, 0x1b0b306b, 0x3fb2f4ac, 0xaaab65f4,
+    0xe46a4b2c, 0x0c2430e2, 0xd923716b, 0xe39778ce, 0x55bbfa56, 0x1fa5d67e, 0x569b16a5, 0x57ae6a16,
+    0x159b154d, 0x19bafc0c, 0xcc295fe8, 0x6a9514cc, 0xc2fb5ec0, 0x549c9aca, 0xf819febd, 0xeaf08d92,
+    0x0a96c5a6, 0xaf7a9f41, 0x98e2b135, 0x8f1f2044, 0xb81221b8, 0x48f69c22, 0xe56979a1, 0x6251d1a2,
+    0x88ff6468, 0x75cd2e51, 0x52fe7548, 0x9ca91ef2, 0x9a94cbba, 0xe14ee7fc, 0xa7770929, 0x13765cea,
+    0x5d902845, 0xe2966bce, 0x8f0b9706, 0x40771be4, 0xf9b01a4c, 0x423e5bdf, 0x79ab15f9, 0xf854ead9,
+    0x9b4a4709, 0xcc0719d3, 0x37ea7fdc, 0xdd998434, 0x08cb7e1e, 0xc5e8d386, 0x4b15296a, 0x683b08c5,
+    0x2ba7d2f8, 0xa550af2b, 0x4f2a7234, 0x33abde63, 0xd87a1254, 0xf429c9a8, 0x1f139dad, 0xfd6c4d31,
+    0x741c36e8, 0x0ee16de0, 0xd1d56184, 0x4a1346a1, 0x88bff4c3, 0x79d34525, 0x2743c047, 0x2d8898c4,
+    0x7defc88c, 0x40b32567, 0x093d3f6e, 0x81d707de, 0xeb1925e2, 0x54499f90, 0x31f192ea, 0x2b03f466,
+    0xefba39d2, 0x48c93369, 0x17afca26, 0xb89be2d3, 0x072a2e02, 0x472286c3, 0x752fc39d, 0xc6e64a62,
+    0xc7f6d952, 0xb0d8514a, 0xaf14016e, 0x3cd0a14d, 0x724c3b80, 0xf033bb40, 0xc1f5a20a, 0x1182e27e,
+    0x5b34859a, 0xb3910291, 0x93ea8010, 0xdc5ca8a0, 0x44ff0aac, 0x45c4df5b, 0xf53eb113, 0x5b311821,
+    0x9bb97936, 0x56655430, 0xbd6fc526, 0xd26f5e7c, 0xac636c2c, 0x9df70abc, 0xc101d431, 0xa7fea4d9,
+    0x75089d40, 0x8a4fc515, 0x9276fa29, 0x3f9bcf48, 0xd4d3b429, 0xb9eed7c2, 0x1bc8d431, 0x08d57f39,
+    0xd70bf3a7, 0x032dffcb, 0x6226f1aa, 0x63e91053, 0xc8198a65, 0x10c64978, 0xc62cab0d, 0x737d8b30,
+    0xbc8251df, 0x5f13b63a, 0xe83904d5, 0x864a0acc, 0x7abee2de, 0x2fcffb11, 0x5d3b1001, 0x66400110,
+    0xc69263a5, 0x41779722, 0x85fdc2d1, 0x8f437693, 0x4e419db0, 0x297e6832, 0x6f2e6061, 0xc21b559c,
+    0xb811f829, 0x92d636ba, 0x1c5b0300, 0x2a076f0c, 0xe7c11903, 0xb1431d79, 0xf3ad4b47, 0x2a2b48e0,
+    0x1a0ef1e2, 0x58bbd584, 0x3fbf7b87, 0x97824c8b, 0x6ef17fdf, 0x3fc6d728, 0x1cce9012, 0xb88d3aee,
+    0xc2087fa7, 0xcc450ebc, 0x7e1141ac, 0x92981a8a, 0xcebc3f01, 0xdab98e2f, 0x69d2097b, 0xee70a7a2,
+    0x5058389b, 0xa6189bfa, 0x204706d1, 0xb6ea0f95, 0x9f2eb74b, 0x10ddd306, 0x8e6fcdf0, 0x50173095,
+    0xfa99c230, 0xe28fa6a2, 0x35545679, 0x8ec25574, 0x533c4801, 0x8dd242bf, 0xebabc02d, 0x02031890,
+    0xcf6a3a58, 0xa6628951, 0x636195d3, 0x6c824b0f, 0x31b432e6, 0xf141532e, 0xe642d073, 0xf1fbc1d7,
+    0x9a11a5b5, 0x79e6ea6f, 0xebd227dd, 0x33cd9114, 0xa48ff407, 0x8d9d00e7, 0x6f4cdde2, 0x28f608a0,
+    0x7a068b28, 0x6ad4aca7, 0x6ea21805, 0x08694a01, 0x1598eca3, 0xce22283e, 0x9b29d194, 0xd3c9de45,
+    0x3dadea2c, 0x65ad2afa, 0xef914dfe, 0x62432a64, 0xb318a7be, 0xe72ebdbc, 0xa37a54c2, 0x8b777fef,
+    0x35f5a42a, 0x94466a0e, 0x5005e27c, 0x15f1c2f6, 0x42c50a93, 0xe358ab95, 0x75b6c648, 0xed46be4e,
+    0x0be457e7, 0x928b88f1, 0xbebaaf1f, 0x167c474a, 0x12ed727e, 0xf76a37af, 0xf97af223, 0x60a2bd29,
+    0x297582c7, 0x9f5fcb3f, 0xc14c0f1c, 0x0caef0f8, 0xe5a9316e, 0x61cbd7a6, 0x66d4b99d, 0x21fd4b1b,
+    0x16f85f34, 0xc42877dd, 0x4126d34d, 0x0d9333ca, 0x11a84f19, 0x7118178a, 0x0db87e5f, 0xa7e13f68,
+    0x1f9ed4d0, 0xe0d29a75, 0x619ecd18, 0x57e8a71f, 0xabbf4c5d, 0x8e90ceed, 0x6b88b433, 0xfc8185e2,
+    0xcc1ef591, 0x6250042f, 0x6c9082a4, 0x351d91c2, 0x84a4a4df, 0x681887eb, 0x0075c729, 0xc5616c6c,
+    0x50fc8f68, 0xa74fefbf, 0x6d01296a, 0x75421ec9, 0xadfe8034, 0xe6abc3d4, 0x36e9382d, 0xaab38262,
+    0xee4c6c5c, 0x59735cc1, 0x26479cf2, 0x5126f92e, 0xe8a2b1ef, 0x43959ab4, 0x36e2c63b, 0x0282a828,
+    0xc5630bb8, 0x673ece23, 0x45cd68b4, 0x90a82c1e, 0x61f6cd78, 0x3d6dc319, 0x87803a1e, 0xe557b591,
+    0x81fd7c82, 0x905635a7, 0xd7c07512, 0xaa989fa4, 0x4424f9eb, 0xe86ef3a8, 0x5cd4013f, 0xd645486c,
+    0x906b036f, 0xad4d7c9e, 0xb006381d, 0xa082f14d, 0x7a2e9734, 0xe927c15a, 0x5acbef5b, 0x14a77fd6,
+    0x7794d871, 0x38125d7d, 0x14d4dfa6, 0xf06c8ef0, 0x94d05172, 0x1bc18ffc, 0x0b8e48dc, 0x1ec2d4ac,
+    0x8ec7857d, 0xcf75ea7c, 0x62d6e0e8, 0xcc47dd03, 0x354a8471, 0x289b680e, 0x081f7533, 0xd9bb655d,
+    0x185fa414, 0x60563572, 0xec4d96b6, 0x329b54d0, 0x1246f1c4, 0xbf838338, 0x4e300174, 0xf5c4591d,
+    0x180be911, 0x1afeb51f, 0xb857e668, 0x3ba1665f, 0x11148777, 0x2f398eae, 0x54bdbe58, 0xd8b445aa,
+    0x36eb2b70, 0x2e8b129a, 0xf0c78cde, 0xe8ce0fe8, 0x8527bd3d, 0x97e7844a, 0xc0a5d37a, 0xc9e74f94,
+    0xb14155e1, 0xc0e50853, 0xa034a1e1, 0x51adac8d, 0x6ae87b12, 0x7b13caff, 0x89545ab3, 0x4aacc6e7,
+    0xd18b5c57, 0x46fc07be, 0x3baa483b, 0x8d2e4f19, 0x4edf679d, 0x0a8064f5, 0x1c3ba227, 0x8176e2d6,
+    0x32ad9003, 0x0dd3948c, 0x51e457ff, 0x7fbd487e, 0x360d26c9, 0xd376fcea, 0x1484f079, 0x549b231f,
+    0x589fc7c2, 0x6aca4177, 0x08b7a54f, 0x431a4958, 0x31ecf395, 0x0b3b61b5, 0x397faaa7, 0x803e60da,
+    0x6f43114f, 0xe5c0a73d, 0x7513b85b, 0x60eeb841, 0xe7de83bc, 0x123f6085, 0x6071520c, 0x7acdf562,
+    0xc47ec0a8, 0xa241ea88, 0x76e26a42, 0x4ebd5cb7, 0xc3fedd3b, 0xec056ea8, 0xa7cde92c, 0xf94b53d3,
+    0x1949ccd9, 0x75fec7e2, 0xac292e24, 0xbcc961d2, 0x42671d02, 0x84f1c97f, 0x7bb9f6c0, 0xb52c3c8f,
+    0x9851cbf4, 0x263eb796, 0xa53265b2, 0x74aaa17a, 0x43f9aa35, 0xc97e5fad, 0xdd20cab4, 0x9d5e27c7,
+    0xe0b189fa, 0xedef4069, 0x9559533b, 0x26b3ef78, 0x05f6fda8, 0xa90afffe, 0xe5686499, 0x4e836569,
+    0x46734607, 0xae6a9fb5, 0xd48de355, 0x14af0f13, 0xc09e0511, 0x79a58e3e, 0x891c81cb, 0x79994573,
+    0xc1bd7cf6, 0xa55f9b79, 0xbc5de7b3, 0x5ae7b2c7, 0xa19dae62, 0x27f85066, 0xa20e1980, 0x0383fff8,
+    0xc93b0ec4, 0x68c6c35a, 0xd01e32e2, 0x43da5198, 0xcfe13d0f, 0x16e5486f, 0x3ba25ea8, 0x2284f599,
+    0x2618e879, 0x624c5314, 0xe9ade08c, 0x4efe7baa, 0xbddff1ae, 0x32566621, 0x6b918410, 0x113552e9,
+    0xfcbf6423, 0xc8aa5620, 0x25b067ad, 0x6c79aa3f, 0xb097bd44, 0x615deb01, 0xe6551bf9, 0x6946c3af,
+    0xe279bfdc, 0xa05da00f, 0x08b03c28, 0xa1ddd8e5, 0x7159bcd4, 0xac7719c3, 0x2c4b9a98, 0xc9ad9783,
+    0x55cc959d, 0x0bde0b37, 0xde66cda1, 0xacae81b4, 0x3728dacf, 0xb446a671, 0x08ae4fb3, 0x776fa2d7,
+    0xd4ad0142, 0x13ef2ce6, 0x35361203, 0x831c1a82, 0xd127c600, 0xf7d8a814, 0x2af3e64b, 0x37558aa0,
+    0x9139af6a, 0xc8960c3a, 0xbe5ab3d8, 0xf46c1a50, 0xeadb0835, 0xb54048e8, 0x6ff385e6, 0x398b4d05,
+    0x938791f1, 0xe25f00ce, 0x4db7e94d, 0x7ae1d741, 0x22369165, 0x1ea9b118, 0x4036b32a, 0xe6d4516a,
+    0x4a8d677f, 0x7eb72080, 0xfef403ad, 0xd42464d8, 0x5c213c1a, 0x4a4f1af7, 0x4637361a, 0x73902a38,
+    0xbcfa0095, 0x558a4b40, 0xe8de0e35, 0x5fd452fb, 0xbe41f947, 0x179d3a89, 0xe75d6985, 0xbe7969d0,
+    0x642ca055, 0x2ca59e79, 0x66481d67, 0x0453f625, 0xe3e5141c, 0x18ad58f4, 0x7c5c30bf, 0x5de7a727,
+    0x04dcdf07, 0xddf56591, 0x7667b25c, 0xe4c74332, 0xc1d948a9, 0xd2fce483, 0x674807a7, 0xb9cc608f,
+    0xe06e4753, 0x6610d290, 0xc93951cc, 0x78faf5d5, 0xb5d151fc, 0x955f459d, 0x858438c5, 0x47a6f7e8,
+    0xcff6b47e, 0x351af488, 0xc0dc4d87, 0xcab02510, 0x70b09e95, 0x808f1925, 0x16edff91, 0xdc351ad8,
+    0x9b8a7117, 0xbee963a3, 0x0afd272e, 0x49b21834, 0x9b81798e, 0xf3d12856, 0x54055a4b, 0x45fbc9fb,
+    0x82540828, 0xd5f7702d, 0xcbd3a7a5, 0x9a0f228f, 0xc4cffa62, 0xc8b0b947, 0x25dca365, 0x32da0fe9,
+    0xeaedf2b5, 0x2bfabbab, 0xb3ee862f, 0x41104fef, 0xa0fc7ac9, 0xc02afdf4, 0x74bf2d6e, 0x1e863cb8,
+    0xc37cbcb7, 0x27ede511, 0x82420531, 0x67be6a5e, 0xbdf5b6d9, 0xe32f8402, 0xe207cbf9, 0xe1c8c419,
+    0x5591593f, 0xd67c7d88, 0xd7fed173, 0x8c3f135d, 0xce568fbe, 0x81d3962d, 0x35b51eeb, 0x7ea8e719,
+    0xb997bc64, 0x5a75348b, 0x53ee9e18, 0x11f8ec67, 0xf76e126f, 0xc2ddd7eb, 0xbaf3f852, 0x7af471e1,
+    0x8ef5077a, 0x4602f566, 0x96ce2b20, 0x61bcf15e, 0x94867f54, 0xfb34322a, 0xada960fd, 0x798c27ee,
+    0x44fd719f, 0x8b8c4c18, 0x574907c7, 0x32072717, 0xb31fa60a, 0x7d938de9, 0x04dd1b2c, 0xfd6fbb24,
+    0x046ad8c9, 0x8c79aba5, 0x16a1e327, 0xaaeb9487, 0xaa6d40fe, 0x79c1ba59, 0xccea978e, 0x806f26c2,
+    0x0fdf058d, 0x9547296c, 0x4850a14e, 0xa12719db, 0x31bf0588, 0x318fb3dc, 0x9bcd372f, 0xfb36e15f,
+    0x8b6f6132, 0x176c3c53, 0xddc88ec9, 0x85b9ba8c, 0x8b671b7f, 0x5151299f, 0xf69515a1, 0x992b5ebf,
+    0xeb7382a3, 0x13d5932f, 0xbec2b722, 0xc63d0bab, 0x56eb3e9c, 0x7e685643, 0xe488bcc1, 0x91e619d8,
+    0xb27b1442, 0xf45b0b25, 0xb2ad6147, 0x869c0720, 0xbd4f4f7b, 0xe1971248, 0x99782c1a, 0xef3d13b9,
+    0x40b8e912, 0x02a3abbb, 0xd7e07fcf, 0x6a5f1e22, 0xebfd5d12, 0xf626e7c7, 0x0a3cee5c, 0xdab0ef8d,
+    0x84a55458, 0x53648792, 0xbfe97340, 0xd4c965bc, 0x55bbea62, 0xb0f698a9, 0x4f88ce33, 0x6bc292ec,
+    0x4b0c94aa, 0x8e792269, 0x4e9cf377, 0xbadb28d0, 0x25dbb844, 0xe2969dad, 0xae66ae99, 0xcdaa6369,
+    0xbd7f139b, 0x0f6652d0, 0x29f76ada, 0x3261cf02, 0xa5633c28, 0x464a820d, 0x635ccfe0, 0x094d23df,
+    0x89a73038, 0x17bf5be8, 0x29b0460c, 0x3ed381aa, 0xa6f2f7c0, 0xc4a479cf, 0x05f73110, 0xc1d4581d,
+    0xdede2823, 0x5f0b5bdf, 0x8c6d3eec, 0x65946df9, 0x9a9d8cb9, 0x624bf05e, 0xf0db61fd, 0x5e1e4eff,
+    0x2aed86cc, 0x7e0b92e7, 0xfb3c1ce4, 0xbef45f2f, 0xe71f8aa4, 0x341cc1ec, 0xb5d39e62, 0x7758d137,
+    0x33f49845, 0xda84e815, 0x2e146f74, 0x1c385a1b, 0xdbbebd5d, 0x12ac5382, 0x82cdd38b, 0x758ae237,
+    0x8fc48ecc, 0x70ea644a, 0x5dc7a95d, 0x75699271, 0xdc353acd, 0x1a7121d3, 0xdb72c4ac, 0x15dcbc97,
+    0x932d77cc, 0x293f51cd, 0x283344ff, 0x6c503fc0, 0x4d625595, 0xfd327a93, 0x7ee410d8, 0xd92a5ea6,
+    0x09580bc7, 0xc8eda6cf, 0xa07c1d2d, 0x05430e1d, 0x738975e2, 0x3aa06c80, 0x3b6adf77, 0x60ea6d29,
+    0x538d6158, 0xf12a01de, 0xd312364d, 0x59a9d7b1, 0x06e5a463, 0x9808182c, 0x208c370e, 0xc6ae0323,
+    0x60cbb925, 0x8e2e8af6, 0x2c3bf74f, 0x6d11b387, 0xd1c595ec, 0x20a6f754, 0x1f15fc50, 0x2a54e917,
+    0xf70243d4, 0x4c72e884, 0x85343644, 0x787258bf, 0x026db092, 0x44a832a7, 0xb369ed06, 0x259e4a72,
+    0x15a7b7b1, 0xbdb735d4, 0xaf6258ce, 0x345a977c, 0xe782d0dd, 0xc17b1345, 0xa56689bc, 0x5244a43a,
+    0xa839b824, 0xdc1780ff, 0xc8374b85, 0xddff09dd, 0x360c0173, 0xd2f1cbad, 0x28b30f98, 0xc82e62a3,
+    0x9436cf6b, 0x29933462, 0xfbd0f47a, 0xfc6f2bda, 0x27caf72a, 0xf8e3615f, 0x31b4b1e6, 0x4140f341,
+    0x3b00d9b1, 0xe0147c7b, 0x445f1234, 0x652a6a86, 0x0338b963, 0xda5e49e7, 0x957f6080, 0x41ac953c,
+    0x85459e82, 0x5a4c5bf0, 0xd87285a8, 0x386717b2, 0x1c0872b7, 0x9f806e8a, 0xb6d82783, 0x32abd9a2,
+    0x60d687d9, 0x85d2e20d, 0x790da60c, 0xf1fc6e09, 0x6d08fb8c, 0x7f896977, 0x195ac9b3, 0x0eae4f7b,
+    0xba66057d, 0x997411f8, 0x73a924ea, 0xa9e9e5f8, 0xa8b44ec4, 0xf4c286e3, 0x3b554574, 0xa1bb68e3,
+    0x00000000 }, /* 10**-00000000000001905364105417475727161619402949930606536009608560163055944309667\
+                          74009505543198585212421026798308836130360530463953040948208494609331560382464 */
+  { 0x00000000,
+    0x3fffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b724a,
+    0x9bfbe8c3, 0xd317ccd7, 0x810b1157, 0x062e0eda, 0x0aa4e297, 0xa14f5e50, 0x8dbfd4d1, 0xad598073,
+    0x00000000,
+    0xf0ecb0cd, 0x3fc0033e, 0x8a011357, 0x5688fd61, 0x166d608d, 0xa1cb261c, 0xd906b3cb, 0x52ca52d0,
+    0x59759039, 0x1a8ce558, 0xa1136a57, 0xb8d1f644, 0xb8491cd7, 0xa8a3ae28, 0x11e7dc51, 0xe7824637,
+    0x9a8fa278, 0x1b5c3747, 0x932c290f, 0xdad8e5a2, 0x8330198b, 0x226f22f7, 0x2d1aa9af, 0x0d028006,
+    0x3b25d8da, 0x996e19e1, 0x23c6ddbf, 0x31a47f52, 0x963f1d37, 0x5f36ccf2, 0x6db3b8a8, 0x19c98cc8,
+    0x440fbbed, 0xb2631d15, 0xbe5eeeb6, 0x1cc5fb69, 0x5a8c5be8, 0xf4903542, 0x0ffa37b3, 0x36287b93,
+    0x05a643e5, 0xd4d5068e, 0xddf347df, 0x9f2344fb, 0xa01a9962, 0x111cd0b6, 0x2433ffcf, 0xb5bd0715,
+    0xb203adcb, 0x5f6219de, 0x9cc1d1c9, 0x0cc1f96c, 0x1a094f25, 0x6e5f9d62, 0xe8fb9057, 0xc0487a79,
+    0x2815a221, 0x3539f719, 0xe86bdc69, 0xec70a4be, 0xd2607237, 0x312a545f, 0x84a6a7a7, 0xc962f3dc,
+    0x9dfd04e0, 0xc86d28b4, 0x11210798, 0x456fbe5b, 0x0e1e3733, 0xb3ae3e91, 0x296b5fda, 0xc3f7b2a6,
+    0x1b5f8f17, 0xcbfa2522, 0xa000d429, 0x37ad22b0, 0x6d46e71e, 0xe878da8f, 0x2d8de61d, 0xe007b188,
+    0x860d1b35, 0xcb86c5f8, 0x57005d4b, 0xafdf42d8, 0xbcc8e497, 0x97c33af9, 0x74866138, 0xe39a85ce,
+    0xc8d97677, 0x8c613f2c, 0x5d552c19, 0xe9ce69b9, 0x3c705477, 0xb8e21d32, 0x27011ab3, 0x6f906908,
+    0x0c41ff9d, 0x5155aa65, 0x5d0e38c7, 0x6118e50c, 0x3c661dc1, 0xb5e00ef8, 0x6821b5f6, 0x4d19b1ec,
+    0x46bba6f8, 0x5c1580df, 0xed02e666, 0x0b159174, 0x3e7d1861, 0xb24fc9bc, 0x9945e7a7, 0x8b1895f9,
+    0xcbce4952, 0x2775f366, 0x2cd73b8a, 0xd8673356, 0xb9c495d3, 0xad643617, 0x26f003b9, 0x44bee187,
+    0x8739be9c, 0x2da4561b, 0x687ab55b, 0x73e9d673, 0x810e83a4, 0x28749971, 0x51e6f9dd, 0x8e53122c,
+    0xb4b79a15, 0xdd011042, 0x58d9fe92, 0x8351bf88, 0x5af708f8, 0xafd07ef1, 0xadb15bf8, 0x2c757073,
+    0x83fcdb23, 0x49da3e72, 0x6cba4db3, 0xede29f0a, 0x8d6461ae, 0x3f2633fe, 0x6708538f, 0xe811fd59,
+    0xe738110a, 0x87ce6b7a, 0xc22cf055, 0x067deaf3, 0xb93b7c70, 0x5f33dfe9, 0xe4297639, 0x3b078a7f,
+    0x10ec5563, 0x50090597, 0xf32731d6, 0xf866cb9f, 0x30c5c27c, 0x10777ef9, 0xcf7d38b1, 0xe13c23e7,
+    0xd6158a13, 0xe0271545, 0x2b8bd3a2, 0x18af650d, 0x0d95d34f, 0x5213ab67, 0x5c894734, 0xc23a5a59,
+    0x77f1a202, 0xfebc6bd6, 0x2123b01b, 0x4f271e93, 0xe1ad9a96, 0xce669420, 0xabbd0a06, 0x25548764,
+    0xf80ce19d, 0x03a6d50f, 0x11cc6f8f, 0x59a4fd9e, 0x964462fe, 0xc4a56b58, 0x7b2d9526, 0x7950b4ef,
+    0xbcf6af78, 0x3ba0fea2, 0x29d9487e, 0xe50714ac, 0x47c305bd, 0xec65269e, 0x013276b1, 0x0e9ed750,
+    0x71c25dfa, 0xd90015c4, 0x6cd40f35, 0x13b07662, 0xd4ecea5b, 0x9bc98823, 0xf09374cc, 0x7bc25c80,
+    0x80b71a7f, 0x7869402e, 0xed8b9328, 0x7da74a01, 0x3531ff98, 0x6ac89fa3, 0x753aac07, 0xbe41b718,
+    0x4533155b, 0xf6d6d6ca, 0x4a0cc3b7, 0xf22819c5, 0x1d6dcdf7, 0x0a4a9128, 0x65c0f943, 0x089314c7,
+    0xf60f5dbe, 0x4e4e8b88, 0x29587f00, 0x6239d662, 0xd70cc7f7, 0x48f200d0, 0x1f90c373, 0x45571869,
+    0xc7b7d3d2, 0x423afb79, 0x65c116e6, 0x03ada92b, 0x76b1952b, 0x0cad814a, 0x3427235a, 0xe1c250b4,
+    0x34d3be3a, 0x7acc1d6a, 0x0ab06889, 0x171077f1, 0xe5667174, 0x709ccf90, 0xd8332423, 0x3062c1d0,
+    0x23129f12, 0x536a39c8, 0xc59172bb, 0xcae9b4f7, 0x80f4a9ef, 0xcf1e84f2, 0x031257a7, 0x130adf7a,
+    0x0e9c0aac, 0xfdf6f7bf, 0x07a7df41, 0x742b027a, 0x89114b07, 0xea9bdde6, 0x4447d6a0, 0x92d16da0,
+    0x433091eb, 0x6205316c, 0xaa006102, 0xd9563903, 0x016dd965, 0x68c18884, 0x8624d31b, 0x824f3f98,
+    0x2a6286bb, 0x0fa962c4, 0xbe1549e8, 0x38ebcc9e, 0xcea22f7a, 0x2731e2dc, 0x9cbb0068, 0xfd525fbf,
+    0x24f5b8ed, 0x065968d1, 0x50448357, 0xc1e9dab6, 0x69eab871, 0xebd6175c, 0x1144c788, 0xd732f0af,
+    0xf13950cd, 0xd98a72db, 0xd4156c9a, 0x2ec6ed8e, 0x6428f79c, 0xcfad0a04, 0x9b7f7ca2, 0x861e72d5,
+    0xedd48e30, 0x7cc891ef, 0x02cebbd5, 0x092ddbb6, 0xf3c8dd46, 0x7ebb20b1, 0xfdc6b779, 0xaa33e299,
+    0x7a679a30, 0xe9acfb46, 0x3793e314, 0x70a25272, 0x6930c1c4, 0x1e6a7525, 0x6b9245e9, 0xbbeb5c05,
+    0x91ecbbbd, 0x9bfecd4f, 0x61d58823, 0x8985d9c2, 0x875995e7, 0xb7174fe2, 0x49bf2670, 0x4e94eb18,
+    0x9aadc468, 0xc280d5bc, 0x44cdc095, 0x3a69c30e, 0x2939bce7, 0xa904ff83, 0x25f5d130, 0xc529c5e2,
+    0x3f0f759b, 0x5ef802fd, 0x59c76a33, 0xbe2fcca1, 0x71761a1c, 0xd842e25b, 0x59ea6f60, 0xeb5d7e65,
+    0x6832f4c7, 0x7899a55f, 0xbdf66835, 0x51651271, 0xc2f53a46, 0xa97779f7, 0x4a83026a, 0x6725165a,
+    0xf2b5958f, 0x2df7638e, 0x4bd9e9f7, 0x8642e2c9, 0x07d613d4, 0x337d12a3, 0x222344c2, 0x113428b3,
+    0x529114fe, 0xaf3ad8d3, 0xaa9d1605, 0x89c18653, 0xa21397a8, 0x6665fd60, 0x534a086c, 0xe816a03b,
+    0xfba36260, 0x23d0253d, 0x8d49baf7, 0x50cd4807, 0x13c46c11, 0x2883344d, 0x6372ad02, 0x3bf0d39a,
+    0x98b581c7, 0xb315aef3, 0x9f8a7025, 0x3a00649c, 0xf9676ba5, 0x7fedcf62, 0xedae929b, 0xdef5a049,
+    0x2b34e1c6, 0x1a85f5b8, 0xec978c66, 0x444f4b91, 0x4bf21ddd, 0xfbe20168, 0x8e4ffcea, 0xc409c261,
+    0x069237df, 0xf7cddc9f, 0x312e2dc3, 0xd466ea5e, 0x4570c044, 0x5dcd7583, 0x158cdde0, 0x06926843,
+    0x52480270, 0xb5f17903, 0xa185fc44, 0x3803db61, 0x3d8c07b0, 0x5b295bcc, 0x739015a9, 0x0434be84,
+    0xfd6436ea, 0xa4279e02, 0xb8b247d4, 0x9bfa6341, 0x9a68dadc, 0x6017d6fe, 0x3bcbcc89, 0xde82e124,
+    0xb049c1ca, 0xd57a437c, 0x19b45843, 0x685f36e0, 0x352ecb22, 0x12bc88f7, 0xb8d982a0, 0x44c4ae68,
+    0xba095f9b, 0x5b6833ce, 0x581871a9, 0x0dd60bcc, 0x50360a23, 0xd3734928, 0x45a9a39f, 0x38e653e1,
+    0x8f19a12d, 0xc8fc433c, 0xd4a3e8ff, 0xb0efc964, 0x2e452d09, 0x6475b815, 0xc78d2a3b, 0x5566417c,
+    0xf93b2488, 0xa37c685a, 0x58bba7d7, 0x63b6680a, 0xcd065412, 0xf1ce649b, 0xb61d97cd, 0x93a36c14,
+    0x1cbbc913, 0xa8467da2, 0x6d301899, 0x09bdf7fa, 0x6cc0c0a8, 0xb2df0b5f, 0x0ee381c3, 0xb34d0f4c,
+    0x1a145d11, 0xd2daf06d, 0xaaabf5d4, 0xbd01876a, 0x92338491, 0xa7186954, 0x1e7432fe, 0xd33f8299,
+    0xc99cd773, 0x280ed1d5, 0x9640ccb7, 0xf91f2cab, 0xb6c852e8, 0x30fbe69f, 0xa23c40d3, 0x4830979f,
+    0xf8a71371, 0x3825b512, 0x456ad615, 0x4539616c, 0x0a08f44d, 0xae2ed388, 0x5fc9f632, 0x9fe93218,
+    0x9048a000, 0xd979d935, 0xa9373426, 0x793209d4, 0xae550ec6, 0x6e7c7eab, 0x1ad20aa5, 0xf1d28c82,
+    0x664eb8bb, 0xa790d8b0, 0x4125186e, 0x47debd99, 0x5613db0f, 0xaf9df7d1, 0x512ec801, 0x84eb3145,
+    0x47ad03c2, 0x0c54b8d7, 0xa2dd1efc, 0xa11a3393, 0x63e3ea51, 0x333e638d, 0x79b403ee, 0x52b8d256,
+    0xe57c0f7c, 0xed0b1687, 0x97c536e9, 0xd354281d, 0x636c437a, 0x0a0a4d13, 0xe50603e0, 0x34c9216a,
+    0x0960e183, 0x3e9aa06b, 0xa300897c, 0x737441bc, 0xbbd0a975, 0x5df21a35, 0x7696b631, 0x511e6972,
+    0xee772ade, 0xe9644935, 0x72640339, 0x4fc3521a, 0xe0250e50, 0x186981d5, 0x9c4192c1, 0x5b5c1dbf,
+    0x63fde6c4, 0xe7080b3f, 0xad8e6630, 0x024a56d7, 0xa4f4cca7, 0xfa8bb75b, 0x114d617e, 0x9e40de03,
+    0xc4c8757c, 0xf8521dca, 0xad207c8f, 0xdabc0ab1, 0x2a35b0ca, 0x26b3149f, 0x0755de61, 0x76edecba,
+    0x20cb4a4d, 0xab5ed2f5, 0x3c32753b, 0xea52582d, 0xeb91a3eb, 0x1eb439f6, 0x801b8e10, 0x4673da46,
+    0xe985a656, 0x60c710b5, 0xf6eb194f, 0xb9fc5f76, 0xb3a9708a, 0x59815750, 0x454d1d7e, 0x1df5b51e,
+    0x00592f56, 0x38c1107a, 0x622881a3, 0x32321155, 0x77c8d789, 0xff7befbc, 0xa74e7391, 0xc8811b79,
+    0xc2ae1fad, 0xf90875fa, 0x5f694867, 0x3d654d04, 0xf3e707b4, 0x58a89f58, 0x3bd394a1, 0x06a8e2ad,
+    0x6fdc0159, 0xa5c778b4, 0xb0172e1b, 0xad959fd2, 0x5ed97148, 0xa10902f1, 0xdd1dd366, 0xe85a887f,
+    0xa0d8382a, 0x9d735a6d, 0xd359cefa, 0xb6f1c747, 0xee8bfc98, 0x1fa366df, 0x2b3d32b5, 0x2a2b8b0b,
+    0x2b57076b, 0x79821b79, 0xdd4c4c71, 0xc650d099, 0x97a353e7, 0xfac8c7a2, 0xed320b5f, 0x7971fcb3,
+    0xccca2ff0, 0x8a077101, 0x42f08890, 0xd115217f, 0xa5f9be80, 0xd5794e57, 0xf15de420, 0x504a5134,
+    0x6e4292af, 0xac7989dc, 0xd96bc8cf, 0x223354df, 0xe7f4f848, 0xf420a830, 0xa61ed3f8, 0x8b96f58b,
+    0x61e10711, 0xf6820150, 0x6b0f95a2, 0x2ce5cd42, 0x6adae48c, 0x3895aeb1, 0xf90f8b38, 0x3fbb6e62,
+    0xd4b7e790, 0x2b10d656, 0x41fb2036, 0x60cf811c, 0xe18bf480, 0xde758290, 0xd5725352, 0x8a57605f,
+    0x25114b91, 0x60d1e8a4, 0x3bce399a, 0x817eb132, 0x6f0b2285, 0xfd10a881, 0xd4e45ba6, 0x197f5921,
+    0x918213eb, 0x49dc5f01, 0x90048975, 0x2aa14494, 0xf68fef8c, 0x075dd9ff, 0x0db0f58a, 0x685bdb87,
+    0xe08441b9, 0xb89bd63c, 0x3ff0da3a, 0x9a8feb84, 0x8dd68033, 0x8c7c0822, 0xffff6694, 0x95cfb0de,
+    0x33f737b9, 0x6c67a204, 0xddefb01c, 0xc16aae20, 0x131a619e, 0x03304689, 0x7403271a, 0xa27eb648,
+    0xb7ddceef, 0xe7646c9d, 0x069a63fd, 0x009ba199, 0x286aa867, 0x32043057, 0x1d32db66, 0xb2f92e83,
+    0xb2191799, 0xece9c08d, 0x4984da07, 0xc3c314d9, 0xa19a131c, 0xa0acaa82, 0x39479776, 0xa837e7e3,
+    0x3c81254c, 0x789737cc, 0xc24ac442, 0x6bd00510, 0x87180b52, 0x6cb3af1c, 0x91e8e158, 0xe78365fc,
+    0x58a245cf, 0x2c02bc39, 0x899c6861, 0x9fb524d7, 0xe72c9b82, 0x34db10e7, 0xfb8deac6, 0x88326031,
+    0x5068df83, 0xded24581, 0x2764e440, 0xcf7e9337, 0x983a2b4a, 0xd72a7cf8, 0xf45a776d, 0xfe968633,
+    0x06ef57fc, 0x5d5c71db, 0x56869c56, 0x92849a2d, 0xf878d145, 0xdb0c22a2, 0x821e0327, 0x9c16194f,
+    0xac64afec, 0x11a3828e, 0xbf6efa5e, 0x439731a5, 0xe018664b, 0x4cf63450, 0x39568eb4, 0xb091855f,
+    0xe378b6c0, 0xab4f83cf, 0xb1cddb9d, 0x18370f79, 0x7629e053, 0x1ce77068, 0x5424bbcf, 0xcc205d7b,
+    0xc2bf522e, 0xcefdac15, 0x16953ce6, 0x3f96190b, 0x2fc85473, 0xaf60eb6c, 0xfe6c94cf, 0x4ddc43da,
+    0xdc8f4f64, 0xa76f4575, 0x3a1c1d1c, 0x9a8264fc, 0x0aeb62d0, 0x3b63ed23, 0xa4bb4e6a, 0x5b69deab,
+    0xf5ffd911, 0xc3c3a22e, 0x0bc60f8c, 0x801106c4, 0x98d18045, 0xc3791e6a, 0x11ae03d6, 0x52e71627,
+    0xce5dc0aa, 0xc72073e7, 0x12c490da, 0xe4fa2cbd, 0x32b53d71, 0x40584d43, 0x707b3ba2, 0xd8456502,
+    0x781be077, 0x95c6016e, 0x35c73c16, 0x60f4d704, 0x091688d2, 0xdd0f87b2, 0xa0905c19, 0x242e8716,
+    0xd04af4f9, 0x824452d9, 0x1c2ae08a, 0xdebf0166, 0x35caffb1, 0x336e7193, 0x93a9ba97, 0x7f29e163,
+    0xaae30cd5, 0x2fbd8930, 0x9a8aa541, 0x320e8115, 0x4c36bffe, 0xe26529c1, 0x2d7cf797, 0x90cd9638,
+    0x877ef394, 0x324fd2ae, 0xae026b18, 0x835569f1, 0xbe8ccb02, 0x903bddec, 0xd1babc55, 0x416ea384,
+    0x6396b508, 0xa4ba0f6a, 0xa79a6973, 0xbbbc9209, 0xa855135c, 0x0116e880, 0x179489b3, 0x236b0ce7,
+    0x6636e903, 0xf17e2e2b, 0x3030cbea, 0xc4b013b3, 0x136ed257, 0x5cf98cc5, 0xad42ad75, 0xcd5c90e8,
+    0xab9bca51, 0x99b0b846, 0x421fd814, 0x6eeb078d, 0x97bbfa8d, 0x81b4795b, 0xb60e172e, 0x770bdd1a,
+    0xe5402b15, 0xa95708ac, 0x0216031a, 0x48875aee, 0x7c9e0e38, 0xf7c2dd8d, 0xb7407e3a, 0x03719319,
+    0xcb8299a3, 0xa0eed947, 0x5bd55fef, 0x2eb25770, 0xb71ff116, 0x72d9074c, 0x1f304aa5, 0xc60639c3,
+    0xde0c0b63, 0xdb0770da, 0xa872f90f, 0x2c8cddef, 0x2e0670de, 0x3f23f9c3, 0x591d2982, 0x233b9ca6,
+    0x8067441b, 0x6117c279, 0xa2d782fd, 0xb9bb5e8a, 0xc111f09f, 0xee126f52, 0x633f594f, 0x7df8aa08,
+    0x285837eb, 0x86363941, 0x1c9ffdc7, 0xa1907c0f, 0x82f058ab, 0x54f0e11d, 0x30f6d675, 0x63b2367a,
+    0xc35fe25c, 0x949a9e77, 0x51d9173b, 0xfbdfc483, 0x1bab7216, 0xf7368428, 0x1c73ef51, 0x44d5e0a8,
+    0x52ce3afb, 0x99b040b2, 0xe93b8f79, 0xed527458, 0x45889ae2, 0xb32b6314, 0x176bd7dc, 0x7728cd0c,
+    0xec4857bf, 0x9de90459, 0xc3036f42, 0x36f8dbe2, 0xd0784de0, 0x37f9591e, 0xe31adbda, 0x0027a921,
+    0xec3b48db, 0xdcc882d5, 0x04f1a48c, 0xc60eadc0, 0xad095dfa, 0xb6c5bfb7, 0x36fdf5ad, 0x6a4fe6d5,
+    0x59f5865f, 0x47336a23, 0x9bdbf4a0, 0xec33b621, 0xb334778e, 0x9b27baa2, 0xc0543032, 0x8a915fbd,
+    0xb548a05b, 0xe28d7a45, 0xb06da204, 0x3c6df46b, 0x5a88ebad, 0xd067fd34, 0x595ace8e, 0xefbd37d6,
+    0x127a9127, 0xda17d4b4, 0xf9d76e35, 0x03e535a4, 0x483446ca, 0x9e46a4f0, 0x61469620, 0x703285b8,
+    0x4ca2949d, 0x59a91200, 0x462723c3, 0x77b8bb89, 0x993a071b, 0x4c249af6, 0xf2a628a5, 0xd644d84d,
+    0x67c41f8d, 0x1ddd4fa5, 0xab37bdaf, 0x7ee4da64, 0x17fbf5ce, 0xbb87956c, 0xaf69e4a5, 0xe8ef8150,
+    0x169065d2, 0xe9afa1d9, 0xefc0e6e5, 0x821010b0, 0xd349509e, 0x7c356b91, 0xbd57e32d, 0x64e6a845,
+    0x1993d75d, 0xe08d6a4d, 0xddc45b4a, 0x8c876183, 0xca1219c8, 0xecd52203, 0xa4ba0746, 0xd645056d,
+    0xd13212ae, 0xb9070533, 0x7fb3dd03, 0xb4a92a20, 0x8bd5ef28, 0xe5ad8fe3, 0x5bd25f23, 0xe81d5909,
+    0xfb50057b, 0xb6e79543, 0x80d5dff2, 0x64da1e44, 0x5d114dfe, 0x5ab22098, 0x3aa15775, 0xf15c3b76,
+    0xf352fb82, 0x4aac2509, 0x9370bb23, 0x21051b4d, 0x8a0cb0c9, 0x8fde11e2, 0xb8f0c31e, 0x531cb6fb,
+    0x640e5e64, 0x17cda5a1, 0xf2d5cb39, 0x368e712f, 0xd134a53a, 0xe90d852d, 0x1ebe8894, 0x065d4f3c,
+    0x494663d9, 0xac2bcd15, 0x70dbdad4, 0x9e73fa6c, 0x88f31460, 0x285cf953, 0x05797d0b, 0xf714c28d,
+    0x2220ed1b, 0x05f87496, 0x556a6a7a, 0xe7fdb755, 0x65d0d716, 0xcec153c5, 0x06adfd92, 0x613929f1,
+    0x1dbd4424, 0x922765df, 0xfc5cf948, 0x0e2d5d2b, 0xd6ef4a84, 0x43e83674, 0x4f6c4c48, 0xc1bcfc36,
+    0x3943b035, 0x6edb2890, 0x6f7fb175, 0xd8ff4eac, 0x3c8cb986, 0xdbdad769, 0xae60d471, 0x6f02abdb,
+    0xb5d58294, 0xec8e54bb, 0x4bfab6d5, 0xcef3bbab, 0xcb7b1c25, 0x46f507cc, 0x1f96823d, 0xce70a594,
+    0x929c2607, 0xfac74f34, 0x22224f5a, 0xe1ab1e25, 0x00850972, 0x174aa301, 0x4f3b58e7, 0x87720c43,
+    0x00000000 }, /* 10**-00000000000000952682052708737863580809701474965303268004804280081527972154833\
+                          87004752771599292606210513399154418065180265231976520474104247304665780191232 */
+  { 0x00000000,
+    0x3fffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925,
+    0x4dfdf461, 0xe98be66b, 0xc08588ab, 0x8317076d, 0x0552714b, 0xd0a7af28, 0x46dfea68, 0xd6acc039,
+    0x00000000,
+    0xaf9bc6aa, 0x05b80de1, 0x64f33251, 0xb48338e4, 0x45eadafc, 0xe4ae7620, 0xeffeef37, 0xf74b793d,
+    0xb7ecfcea, 0x9da34f9b, 0xd56f36f9, 0x87ccab81, 0x611daf49, 0x3b877aa2, 0xd7fa4414, 0xb6b608c7,
+    0x112edaca, 0x08bf5e13, 0x08379f7d, 0xe2189971, 0x75c04547, 0x9e7ce0f0, 0x42170978, 0x1663c562,
+    0x230fdd23, 0x78db0337, 0x231320b3, 0x8d33f9be, 0x3bbc712c, 0xabc77058, 0x753b6e82, 0xdbfd9a59,
+    0xbf092dc0, 0xd903f6f2, 0x61402fff, 0x914be15a, 0x292b2c3a, 0xe7aaf13e, 0xc3237260, 0xe8138185,
+    0x34a79cc8, 0xb4cbd3ea, 0x5e3de7df, 0xd253f65a, 0x093e8300, 0x8ab913a9, 0xfb866a12, 0xbb4962c7,
+    0x1ffec2e1, 0xa8e400ea, 0xaa2e4e87, 0x2d763206, 0xea7f37f6, 0x5f7086db, 0xe5622b4a, 0x9eebe6e1,
+    0xcc05c4a6, 0xac887593, 0xed28d9e9, 0xef365ce5, 0xa209f2bc, 0xc81abc9c, 0xb19c8bf7, 0x6170fb1a,
+    0x3a22ffb9, 0x546e082a, 0xb1a72127, 0xb1dd4f96, 0x6f844e30, 0x7bfea90b, 0x7ebe3836, 0x86dae7d5,
+    0xf6546080, 0x0042dfbf, 0x96ef2c51, 0x91014449, 0xc8fb302c, 0x73622018, 0x9c6cc067, 0xbd250d3d,
+    0x52fe4a44, 0xa9cf1baa, 0xbadc6791, 0x4515f91e, 0x690a8db0, 0x1dde3ae1, 0x602dc987, 0x09fee1fd,
+    0xd460da6d, 0x0c0381da, 0x3196ced3, 0x574e2c6b, 0xdd76e68b, 0x0195865b, 0xd5cb852b, 0xfc59558e,
+    0x63992812, 0x095786fb, 0xe71c5688, 0x016f654d, 0x31d07c07, 0x0934b740, 0x6c1f6af6, 0x6b207646,
+    0xf0456dc0, 0x624d1adb, 0xb253754b, 0xf3efb0c7, 0x6643f195, 0xef3e1b57, 0x97e73b70, 0xab98db39,
+    0x97070e1c, 0x71d00746, 0x842d9d5d, 0xa6521eb3, 0xbf4a8660, 0xdcb918a8, 0x71ecfba8, 0x6845ab71,
+    0xeff2ddca, 0xe3e7fbed, 0xea741c98, 0xad404e65, 0xe4c40842, 0x2622bf8a, 0x0ba1acfe, 0x94f05963,
+    0x3f4cc3fd, 0xb7aefca1, 0xbebdced5, 0x3cd0be53, 0x04cfdd1d, 0x7d4acc75, 0x88041aa1, 0xa3d24d08,
+    0xb30164e5, 0xde32ae06, 0xfa3a8781, 0xe04b97a9, 0x0eecfd5c, 0x761f0580, 0x4484e513, 0x89800dec,
+    0x0f9d8569, 0x28a4fe61, 0x56633427, 0x4d7876c7, 0xe143e5e8, 0x768dbaa5, 0x6ddea006, 0x2930a82f,
+    0x285a50a1, 0xa85a2605, 0xed685c92, 0xeea87a4e, 0xab66d1eb, 0xfb846c29, 0x80e607a0, 0x49a478c3,
+    0x28317b58, 0x16589193, 0x51f3cb35, 0xa3a46066, 0x4dba5605, 0xb8305446, 0x222ba53c, 0x2c18ccf5,
+    0x5d04e760, 0x28854070, 0xb5f957f3, 0x4cb79521, 0x71d117c8, 0x87c09e87, 0x0164f1d2, 0x4bd0ead7,
+    0x280a84c6, 0x801ae451, 0x6364f87b, 0xc4484d32, 0xe4542904, 0x646dba08, 0xcd27bae5, 0x14203da2,
+    0xf404004e, 0x507591b2, 0xe608183b, 0x0591e1bb, 0x5b3beff6, 0x0164348c, 0x65bf6cab, 0xe4a7c456,
+    0xb9caa5f9, 0xdabf3896, 0x32abeb13, 0xc8f3a0ab, 0x5da5f527, 0x5b449297, 0x395c93f4, 0xf12076b6,
+    0x30e48f3e, 0x0b2a00b6, 0x8ef12022, 0x2848c1ea, 0xcf5c9e77, 0x6e8e1e40, 0x11715fbb, 0x62c70fcf,
+    0xf0ad0dc7, 0x4d517309, 0x803bf2e0, 0x0a9deabf, 0xab1243ea, 0x1e54ae47, 0x918072ba, 0xe6d4b685,
+    0x1a62a355, 0x3915cf2c, 0x5baae89d, 0xf1bce203, 0x1e1803eb, 0x747f424a, 0xcbd0f8bf, 0x2fd9ab86,
+    0x880cae70, 0xc7efb590, 0x1d5851c5, 0xdc7cef0f, 0x28f16b9a, 0x62a1d780, 0x722212d3, 0x06dfedb0,
+    0xc53b8cec, 0xc6026ee2, 0x95f20890, 0x40934fa3, 0x6f7cb596, 0x7877f892, 0xbd65480c, 0xd922da8a,
+    0xb8f0a803, 0x646f5b5c, 0x7174adb2, 0x464c2e6d, 0xcea3067d, 0x6072ad05, 0xb43e28a6, 0xe31cfd82,
+    0xcf871fe4, 0x839ef0af, 0x188297be, 0x78fcc6d1, 0x20b94be7, 0x69097adc, 0xc2cfac3f, 0xc75bfb4b,
+    0x25ff0d82, 0xda2e199d, 0x4b69e73a, 0x9f568075, 0xd660dbd9, 0xad506484, 0x7e56ba6b, 0xe65214ef,
+    0xba9d93eb, 0x80e263c7, 0xa5c8bd0d, 0xbf1d6ff2, 0xe9fdf4e3, 0xac5f39d4, 0x7951a863, 0x4a4d5781,
+    0x983cbc5a, 0x1f518a2e, 0x29bb015f, 0xa28c418c, 0xcc61af0c, 0x5e325a14, 0xea1b72d1, 0xc839ad94,
+    0x260581bc, 0x97c9fba4, 0x23cfb86b, 0xf913fefd, 0xfe07af63, 0x0c6ee094, 0xed625f7d, 0xf13b824a,
+    0x8297b0d5, 0xb927fdbe, 0xa1aa561f, 0x714492d1, 0xaf78bb1a, 0x7ddc073f, 0xe921ff7a, 0x225334e6,
+    0x85a42963, 0xd117fa7c, 0x57c04a6b, 0xcd5dc0b1, 0x60105fef, 0x00c1ff42, 0x43627527, 0x7fd1b47c,
+    0x59520c5b, 0x6ac7a8de, 0x6504da6d, 0x5d04116f, 0x357903ae, 0x171193de, 0x3e2d8087, 0x9a87a443,
+    0x79d98afe, 0x165bad23, 0x3734d15b, 0x2ef0791c, 0x3ba52287, 0xa6ba1858, 0x1e90cc7d, 0xb57b6868,
+    0x7971b3ef, 0x2cfc6581, 0xc8c9e477, 0xa5b032d4, 0xa0b64261, 0xd9921b32, 0x30ecf40a, 0x95ed2678,
+    0x20d04e37, 0x5eb6f746, 0x7f544389, 0xc747374a, 0xff366c91, 0x13de2e1c, 0x8de2a94e, 0xa82a7b46,
+    0x8d6a549a, 0x9be2d25f, 0x1469b63a, 0x5563df55, 0xe0998f74, 0xf605ac4b, 0xd78b255f, 0x04cac81f,
+    0x5e9d7f2e, 0x9bcb3fbe, 0xac2c6f7d, 0x71608a11, 0x8e33f0e9, 0x08ccbc01, 0x2de89c94, 0x72ced6af,
+    0x5e4e7a11, 0x308db907, 0x7c61f41c, 0xdb01a184, 0xb07b085e, 0xe5252ca6, 0x0291100a, 0x84464bb2,
+    0xf4426c86, 0x429225d5, 0x74a0b088, 0x3afc2cf9, 0x40eb8d28, 0x6d2ca748, 0x8fa355aa, 0x087dfe9c,
+    0x704c0cc4, 0x726dfac0, 0x8efb0803, 0x43dbfd5b, 0x0d27cfa3, 0x3988debb, 0x68fdbc61, 0x1909e599,
+    0x57bd2280, 0x1dab8c20, 0xe6f54fdb, 0xda71448b, 0x2f0158b9, 0xd4c2bfd9, 0x25e1f745, 0x73df6224,
+    0x3cf046ff, 0x404e2d15, 0xb3af1daf, 0x4e348e50, 0x82db69fd, 0xcc4d8dbc, 0x1e6d0fdc, 0x8da0ebf3,
+    0x14c51a73, 0x4a87d06c, 0x68749bcb, 0xde9c28b0, 0xa2e9e176, 0xe1487350, 0xd769af91, 0x089fdd4f,
+    0xa113f6c0, 0xd910ad11, 0x1e9c3bd9, 0x8b93c3cd, 0x1cc72cd2, 0x02df2381, 0xcc9b6ccb, 0x8080ebb0,
+    0x7afd5bda, 0x603f60ad, 0xce8749a3, 0x53738792, 0xe1064877, 0x433c53a6, 0x2e5020b4, 0xd74a7fcc,
+    0xbffac1d0, 0x8db55b1e, 0x403f836e, 0x23aab34b, 0x7c06212c, 0xda9bb55d, 0xd17b4fa6, 0xaaf92161,
+    0xcdfa7296, 0xd84d0ce0, 0x587f5a60, 0xe5e6873f, 0xc1a4fa27, 0x6110a4d3, 0x123c4e89, 0xbd09ecd9,
+    0xf2d6a563, 0x613cf2ad, 0xae9ff65c, 0xfd870c1f, 0x1eab5572, 0x6996ea87, 0xab2e5f75, 0x77414dac,
+    0xc7acd1d6, 0xb8d8f4e3, 0x197c8780, 0x5d4e3457, 0x54be8684, 0xf69448da, 0x45346330, 0xd9164213,
+    0x78bf8520, 0xce49a447, 0x046adeb7, 0x0b8fd6f0, 0xd885e41a, 0xf898ead5, 0x63b309f8, 0x9cfee4e2,
+    0x588792dc, 0xaa48011d, 0xb7be8112, 0x556c0a23, 0x0932f359, 0xfa4c83a4, 0x1d7c913f, 0x79a83b79,
+    0xb927fdd8, 0x83ae3b33, 0x100f8708, 0x3f7bf4ae, 0x256e9d2a, 0xae531160, 0x02bc5fd7, 0x42afcfe7,
+    0x3599c9d0, 0xc6d19b28, 0xf266ec08, 0xc9d1aac1, 0xbc26fbbf, 0xa13d5737, 0x9ca184ba, 0x2e511f1c,
+    0x706b6866, 0xf2dd2fba, 0xeba1fa08, 0x7352b693, 0x2815ed1d, 0x45e06ea0, 0x0ce131a6, 0x3e10ecc1,
+    0x42f246cc, 0x34e19c0a, 0x7d89b83a, 0x6887bccc, 0xfd8eefa3, 0xe275e39e, 0xbbc9bd3a, 0x8c752b34,
+    0xacb91954, 0xb6e534db, 0x707b42df, 0x6cd71e37, 0x681f9820, 0xf0b45a5c, 0x51f50eaa, 0xbccd339f,
+    0x65d04fe6, 0xe252b215, 0x1ff7a6a1, 0x03ab89d7, 0x6d1f5f8f, 0x82c04fcb, 0xa38f9e18, 0x3f81f6ed,
+    0x8ed5301f, 0x616abf35, 0x0439413c, 0x078255eb, 0x9a20e50c, 0x11cdb668, 0xf5f93b82, 0x23b11672,
+    0x488c5d5c, 0xfaa5ef90, 0x9493d810, 0x6e848f35, 0x7df1e89f, 0x746d5d87, 0x6d4ecdb9, 0x609b404a,
+    0x276ca385, 0x91b03005, 0xf9fa6f79, 0x5ee8cb5d, 0x646f1ca4, 0xc97cb1cf, 0xc7061857, 0x73df8364,
+    0x22ad36e3, 0x7845d45e, 0x9af1b9ba, 0x48a5e1a2, 0xa3de7635, 0xed903931, 0xc2d689b8, 0x2623382e,
+    0xbf2b25d0, 0x105ccf47, 0x32e59103, 0x8bab97d3, 0x5b04669d, 0x23a02c2a, 0x23570bbe, 0xc430634d,
+    0x0c9d518d, 0x78c04a48, 0x6eb21df4, 0x1bd5152d, 0x09506ca2, 0x1e2ab23a, 0x3a460e66, 0x5812e9be,
+    0xbf0a0040, 0x1797d724, 0x708d816c, 0x905cff5a, 0x9fd5f764, 0x4ff9eaf3, 0x5c35568b, 0xe09be0c2,
+    0xcaf61ef7, 0x3618c4aa, 0x3596cb88, 0xb210742b, 0xc3afead7, 0x200c24b9, 0x88a5a908, 0x43bbca99,
+    0xe599938b, 0x61c5770b, 0x87766dc9, 0xf9c7f176, 0xfb78059b, 0x7c75a8a6, 0xf55fa46a, 0xe7b44fe8,
+    0xd773447a, 0x02c284cd, 0x1b38c45c, 0x187f6d4c, 0x6f14a429, 0x750f35e9, 0x474468c6, 0xd9a59d9f,
+    0x4901c3dc, 0x2103291c, 0xb307bb88, 0x6f08af98, 0x2ded7057, 0x4a98b727, 0x88211520, 0xa85f96c3,
+    0x3837db4b, 0x9a88f9ea, 0x2c2be855, 0xd6920139, 0x81b37430, 0x39936b41, 0xc4ed202d, 0x66539972,
+    0x56a6c123, 0xf8fa29ca, 0xd02bd292, 0x68db85b3, 0x36a602ff, 0x59ed45c8, 0xd2334ae5, 0x7d389105,
+    0x9b8fcf60, 0xaca39f7e, 0x9840f93c, 0x8bf3d7d5, 0xe89b44ec, 0x1ed9eaa3, 0x7e85cc74, 0x3659fee6,
+    0x9b1a5354, 0x84bcfa92, 0x6f491c52, 0x3bc3df30, 0xafbb7128, 0x0f877a0f, 0x1d1d7310, 0xf7f21449,
+    0x1904710a, 0xa4e79f1c, 0xe7eced57, 0x57a1753d, 0xb791812a, 0xb7020f06, 0xfdb3b748, 0xa252fb67,
+    0xc5340d48, 0xf7d6be91, 0x17e789e5, 0x6774f17e, 0x3754ca09, 0x1006a686, 0x9fcf3335, 0xe8ad2ad7,
+    0xf940c7a7, 0xd126f458, 0x33aa4f17, 0xb52f34f1, 0x2555df03, 0xc773a1f1, 0xcd486a40, 0x49130dbb,
+    0x31e077fd, 0x5aba625b, 0xe77c0626, 0x2e99e9b8, 0x4828b183, 0x7b18b029, 0x705724e0, 0x1c8da817,
+    0x1622da31, 0xbc9c006c, 0xa2c4069f, 0x7e22c423, 0x7259eca7, 0x9e66c3bd, 0x0dbbe299, 0x1bf761d1,
+    0xa5f51612, 0x922d12a4, 0xb0975213, 0x6f5c72c3, 0xa4ade66d, 0xdafe6308, 0x94b91431, 0xcfef7de3,
+    0x61428460, 0x0c542e35, 0x9f8f6177, 0x1d3b1ffc, 0xc88db2fa, 0xf4af7241, 0x3762e339, 0x104bed5d,
+    0xbb2eb735, 0x28a647fc, 0xe372590f, 0xb4f2dc19, 0x3a0d81dc, 0x2c0458fd, 0x366af595, 0x3a2903b0,
+    0x243008d2, 0xb7440163, 0x210546b0, 0xaaa22b98, 0xfb1cd456, 0x96a73123, 0xaad6a411, 0x44330997,
+    0xfe8d4c4f, 0x51566b38, 0xb18a3f48, 0x37953cbc, 0x33e716b3, 0x3ebc5d65, 0x03566f57, 0xbb395156,
+    0xeeeb0434, 0x211e5b16, 0x417b3cb3, 0x57031568, 0xf0d27568, 0x54b341c3, 0xe275c0b1, 0xa45ff211,
+    0x76a4e2a5, 0x0eeadb94, 0xbd5921ed, 0x5ce2dad2, 0xce3bc273, 0xb05ac578, 0x81b415f9, 0x8debb1e6,
+    0xf4b56155, 0x77d36efd, 0x277de6b8, 0x57b8777a, 0x7c5a550d, 0xc6a65bef, 0xbbc7b1d3, 0x08b30766,
+    0xaee4538f, 0x1bbf1dea, 0x7565ef62, 0x5ac4d375, 0x0e3b61fe, 0xa4635e71, 0x9304666b, 0xe4d029fd,
+    0xbb7e349c, 0x8d4e4207, 0x5299b8d8, 0x2a4e4b9b, 0x9f9e6ec8, 0x98124fef, 0x3d315e5d, 0x646918b0,
+    0x124ad7b7, 0x8afa2397, 0xdf1eb7ea, 0x6d185022, 0xabaa95f7, 0x27cf3625, 0x6ecc4de7, 0xcf35a6a9,
+    0xf9280555, 0x0f0936c0, 0xafb6f72f, 0xb229a28d, 0x8183466b, 0x3df8ab24, 0x2bf3b50f, 0x3dd4acc8,
+    0xdeed7fa8, 0x1d9eaf72, 0xcb7a6806, 0x4294f30c, 0x1f399e7a, 0x70cc2e4d, 0xdad33fd7, 0x843237b2,
+    0xe24abe71, 0x1eb2698a, 0x8f0b17de, 0xd770429c, 0xd541db42, 0x18ece01b, 0x7f8a384d, 0xe956bfde,
+    0x0e7f8fa6, 0xcf3e1f2a, 0x728cb079, 0x9faa54af, 0x3f5d4fb9, 0x2d4f2757, 0x4874e306, 0xd8f84e80,
+    0x13bc273f, 0xdc3d3084, 0x66554617, 0x0384be08, 0x8fdc4ed8, 0x7a6aee35, 0xd7cfbb58, 0xda829e45,
+    0x38ec0d6b, 0xcdac6433, 0xa9a4b5db, 0xd63ae8d5, 0x991827f9, 0xcf05e711, 0x3b8371d6, 0xcf4c4cad,
+    0x18768e04, 0x10547471, 0x77a43c6e, 0xf56e5dfd, 0xeb01e4c0, 0x7e904fc4, 0x1dee5078, 0xbdfe7d82,
+    0xf0d843fa, 0x56805a2a, 0x3ed61323, 0x96eface9, 0x6b5a5443, 0xd1b21bff, 0x7167e047, 0x3d02cf88,
+    0xc0548c02, 0x92589c57, 0x5742ec1a, 0x96efe205, 0x8f30e1c0, 0x85795cf5, 0xbbcab7c8, 0xad4a3282,
+    0x1787b7aa, 0x1671f276, 0x8b04ed97, 0x126934e6, 0x9c1b390b, 0xab50b33a, 0x70dc6bba, 0xf1b91a39,
+    0xe1ae8ad2, 0xd17a7366, 0xadd04c5c, 0x969871eb, 0x6ba854bb, 0x3d812358, 0x92bdb436, 0xc68d5e67,
+    0x36583da4, 0x3195e0e5, 0x93acee25, 0x55d5b39f, 0x27e06dfe, 0x50c8d0c6, 0x4e8f5601, 0x564e04d4,
+    0xe842834e, 0x87a972de, 0x33661456, 0x56d0fca2, 0x43666d9b, 0x21a1db6c, 0x61d8a138, 0x500b916a,
+    0xfbf90a94, 0x1316ba6f, 0x08062766, 0x7c690df2, 0x0b117647, 0x0b7557bb, 0x4214e4ef, 0xc7652273,
+    0x79d204f8, 0x5d24b6df, 0x3653e4ee, 0xc6174d22, 0x7a28298f, 0x16574fe7, 0xe935d87a, 0x4e85b54e,
+    0xa3037f28, 0x1f0bddbd, 0xcf17ba15, 0x80fb8414, 0x7d2369f4, 0x70ea5c56, 0x37bcbc00, 0x258a4f92,
+    0x60883e31, 0x6cbd1074, 0x19f5d7b8, 0x6d20a3a5, 0x370e7d6f, 0x7d1594e5, 0x933a477a, 0xee234961,
+    0xd30964cc, 0xe0466163, 0x418aa382, 0xb4221cc6, 0x9b76730d, 0xd31c857d, 0xe73b43a4, 0xbae60ec2,
+    0xc7b6e7cc, 0x7df3e6e1, 0x3d781f42, 0x69832577, 0x3bd2ddd0, 0xff7652f6, 0x50e3bba5, 0x9ab910d2,
+    0x85730249, 0x5f18b319, 0x8f5ec53a, 0x57f49e8a, 0xebfca8ad, 0xe75bb0ca, 0x5db4ad7f, 0x04dc5aac,
+    0x45728fed, 0xfd869d00, 0xe34f199c, 0x853aa52a, 0xc9a8479c, 0x5515dad4, 0xd63f4b78, 0xbcf7f0aa,
+    0xaa9bb523, 0xbb97aa48, 0x0aacdf44, 0x7e405ab3, 0x32a6daf5, 0x4759e9a5, 0x1126c353, 0x87d450eb,
+    0x98e4ed21, 0x74a3d981, 0x740c5820, 0xa33945df, 0xf83d084a, 0xe7420634, 0x728c797c, 0x15e12799,
+    0xc479b0ce, 0x209c7fa6, 0x01b47026, 0xd4cd7ceb, 0x42a35e81, 0xbf741b2e, 0x4c0c7263, 0xf58674f9,
+    0xc5a5a9c5, 0x16232c47, 0xb949fdb9, 0xbec953ca, 0x12629ac6, 0xf004b913, 0x3866976e, 0xb3e3e469,
+    0xeb527b96, 0x2e28bb83, 0x04309e93, 0xaf30ecfc, 0x3dfae582, 0xeb1fc2dd, 0x4661cdad, 0xdd1b87b1,
+    0xb195c6e3, 0x8d190935, 0x783f63ab, 0x47308b94, 0x68100823, 0x3c95e6ff, 0x7613bbd5, 0xdc684e43,
+    0xe3af39c9, 0x50e1efd4, 0x6537a621, 0x3448230d, 0xb9a12a48, 0x02b5bc40, 0xe4fea7bf, 0xb73cb3de,
+    0x2efade34, 0xb5a32aa4, 0xfbf2ab4d, 0xe9be401f, 0xc7b19d3f, 0x6fa61432, 0x60a90c31, 0x1cb7b968,
+    0x420532a5, 0x8c06c10c, 0xa43bdd8f, 0xc003cf6f, 0xb6815260, 0x0d113e2a, 0xddf46a10, 0x5d1cdbae,
+    0x1310f396, 0x1c63a311, 0xb77aee51, 0x14bfa59d, 0xa1499bf7, 0xb5963186, 0x776c6f76, 0xfe0d95be,
+    0x00000000 }, /* 10**-00000000000000476341026354368931790404850737482651634002402140040763986077416\
+                          93502376385799646303105256699577209032590132615988260237052123652332890095616 */
+  { 0x00000000,
+    0x3fffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92,
+    0xa6fefa30, 0xf4c5f335, 0xe042c455, 0xc18b83b6, 0x82a938a5, 0xe853d794, 0x236ff534, 0x6b56601c,
+    0x00000000,
+    0x95ed2060, 0x41c07f0b, 0xfda38a0b, 0x5eab6b93, 0xf0a6155d, 0x4f135142, 0x90d28c3c, 0x910f5a7e,
+    0x9c326f06, 0x63347e3b, 0x24cf805f, 0x66962576, 0xdfc0e122, 0x9511d7c8, 0x1878d663, 0x3b54bd62,
+    0x2a48a863, 0x61f6aca4, 0x0e5a16f9, 0x672d561b, 0x2edf699d, 0xd5ef6d0c, 0x1ca06cf2, 0xe3717db3,
+    0x6d9a0946, 0x805993c3, 0x8f18e36a, 0x88a4f590, 0x464bde53, 0xcdd625d4, 0x2c5437e1, 0xd8368654,
+    0xc0e55335, 0xf40bd6ab, 0x9f3b70e8, 0xbc494ed9, 0x9b031e55, 0x6d24a4e5, 0x467923ba, 0x2384ca6d,
+    0xb9e909c2, 0x36d4275a, 0xfd49fe6a, 0x43c5e0ab, 0x652045b9, 0xf68a9c79, 0x18b7c740, 0x6d68a5e5,
+    0xc7cae896, 0xc6dedc02, 0x69d9b4fc, 0x1e0462cc, 0x64d85e1d, 0x509e2c0e, 0xe02f7965, 0xd375c5fb,
+    0xab26620d, 0xb2c6d582, 0x16b0438f, 0x3114f856, 0x882f4145, 0xcf67ad81, 0x6b0bb830, 0xfe53cf44,
+    0xc5939b19, 0x5069780e, 0x3e183e92, 0xcc8f57e7, 0x88fcfc3b, 0xb61a620d, 0x64d4fe6d, 0x385cb616,
+    0x8aee8fa3, 0x190552eb, 0xc13f55bd, 0x924fed3d, 0x5496584a, 0xc84981a8, 0x76b8ede0, 0x0299c335,
+    0x4e9567fe, 0x44593acf, 0x820eba6a, 0x258f47b1, 0xf234ee62, 0xb96a8234, 0xac359a64, 0x1fdb13dd,
+    0x7259557d, 0x337a4918, 0xc37ed729, 0x8431f5f3, 0x1c023797, 0xcc19dba8, 0xb2618aee, 0x123105d7,
+    0x734c1261, 0x8172a52a, 0x9d382463, 0x4d1e2fb1, 0x6eac7fbc, 0xaab17b59, 0x710e40e0, 0x20435fcd,
+    0x49c44627, 0xc9cf43aa, 0x1ec02540, 0x0606d80b, 0x0c56f62c, 0x43447628, 0x166833aa, 0xef776315,
+    0x0045fa78, 0x56817143, 0x50363dfa, 0x8ec49395, 0x9778c893, 0xd16dc208, 0xedfc2f3d, 0x994fbcd0,
+    0xeb2a01d9, 0xf8544235, 0x9d9380f7, 0x87051ca9, 0xbea4cbf5, 0x3b6385bf, 0xf9845cc1, 0x315d6546,
+    0xc449ab15, 0x7d144664, 0x86e3b4f6, 0xb30a87e7, 0x21354d35, 0xc314ab13, 0xcafd77bb, 0xcb89f006,
+    0x858f52b6, 0x8c992210, 0x960cc1ba, 0x1c93684f, 0xeed8519c, 0xb9759223, 0x630e933a, 0x60f023aa,
+    0x463d7db9, 0x123340dc, 0xddd1a1d3, 0xfa9a0b00, 0x1a6570f9, 0xda2b81e2, 0x86abda8d, 0x7b57da9a,
+    0xd14d7c8c, 0x7c44d267, 0x54d5be47, 0xcf011ad4, 0xe5ebb3d3, 0x05888b07, 0xf2a3927f, 0x97310dc4,
+    0x764fe45f, 0x50a8a07e, 0x08368608, 0xa6babf27, 0x6a6c3169, 0x822af802, 0x7a793e4e, 0xf13309a7,
+    0x7ae5def4, 0xf1b5cfad, 0xa6ca3f71, 0x5891c723, 0xb66ece09, 0x3de3d598, 0xd07740ea, 0xc40652e9,
+    0xcd911e54, 0x068b24bf, 0xc90dddd7, 0xb1978454, 0x58291514, 0x3c8194bc, 0x8f9f359c, 0x6b022f2d,
+    0x07a3342c, 0xd6976e8c, 0xde0703dd, 0x2e8c9413, 0xb8e7dc39, 0xac375c4c, 0x27c581f8, 0x7b4c2ff0,
+    0x5ea48cb0, 0xd42c80f8, 0x8a79146e, 0xd4ca598f, 0xbc444015, 0xfdd84856, 0x2af142f5, 0x0c0fb79f,
+    0xb5ac734a, 0x73d300ea, 0x9fe7abd4, 0xbfc73c68, 0x72a37559, 0x44126692, 0x8e4ac25c, 0xb15dffe2,
+    0x72cd6a67, 0xa864d8b6, 0x8e9a3fa8, 0x2b273b7d, 0x676dbdd3, 0x52cae4b3, 0x538a8243, 0x5aa7ce58,
+    0x5bdb89ca, 0x11fb510d, 0xb0c4b403, 0x66b31bf5, 0x7f30c3ee, 0x9b22b9b7, 0x21e751dd, 0xf13bfca1,
+    0xbf7a1706, 0x4180dcdf, 0xaa34f878, 0x7c9f3678, 0xc459c8b0, 0xf81934a3, 0xf6f67bef, 0x515ed835,
+    0x803995d0, 0x735e6faa, 0x519c621b, 0x7866f5e7, 0x62e2e07c, 0x37bdb824, 0x6a13a76b, 0x43816f8a,
+    0x99e82984, 0x8cf2a746, 0x0d4916da, 0xf908e108, 0xb3d8f01d, 0x027f8560, 0x611a2f44, 0x601d495f,
+    0xa92da1e0, 0x2880dfe0, 0x3a69f5f3, 0x3e246699, 0xaa33ffc5, 0x5d86a559, 0x7a207bec, 0xf05f6c24,
+    0x5e2c7127, 0x58accc78, 0x3c6cfe4a, 0x25ff5580, 0x770bdb78, 0xac5de02b, 0x647f99f6, 0xfb1d218f,
+    0xdb95baa9, 0x17554f4f, 0xce5ca685, 0xb4077127, 0x04097f96, 0xfb5cabb0, 0xf0bb04e1, 0x252423f2,
+    0x196c468d, 0xb445896f, 0x9b58daef, 0x40406665, 0x83d39718, 0x92d74d5b, 0x265f6887, 0x59438028,
+    0xa03b31ce, 0x80f6fa3d, 0x1da52ab0, 0x564fd959, 0x96adc821, 0xfc53be00, 0x3778c23d, 0x054c121f,
+    0x31b447a3, 0xfde89f1e, 0x05d7487b, 0xbb29cebc, 0x38abf158, 0x61a08062, 0x2999e8fe, 0x8403fd97,
+    0x91ae18c1, 0xc0eb8d3c, 0xcf7a4c67, 0x191fef05, 0x9417ec2b, 0xfe868170, 0xb0fa063c, 0x77ed1211,
+    0xf0c7179e, 0x64d837a9, 0x24359114, 0xbcb6073b, 0x1227a3b1, 0xa9cbe529, 0x3b356463, 0x40a47afe,
+    0xbdf205e3, 0xb3962121, 0xae47d75d, 0x54e1385e, 0x28f7475f, 0xd7048f53, 0xf0f080c7, 0x14cd3f38,
+    0xa9eb4e13, 0x6c8e5d2c, 0x05912c0b, 0x620ca63a, 0x2ab9fe6f, 0x5464ccf4, 0xfb553eab, 0x3d0bffb1,
+    0xf31209e2, 0x5fa4d629, 0x5cc20c30, 0x6a25c96e, 0xbed62467, 0xedfea1b4, 0x08662e94, 0x81fafdd3,
+    0xc9a46a4a, 0xc3caf3ac, 0x75b4c354, 0xfea9e715, 0x9fe00657, 0xc3521330, 0xbc4a6954, 0x64f28f9a,
+    0x8768c205, 0x2ae613b1, 0x7eed6237, 0x262bd700, 0x9302aeb5, 0x6856523a, 0xf74602f1, 0xea9e70df,
+    0xe52c8881, 0x8559d9b7, 0xf9d8bd5a, 0x89a1f57a, 0x5d22af39, 0x3b0444ee, 0x70e75850, 0xbc9eec9a,
+    0xb096c37d, 0x50d6ce63, 0x1c9e1658, 0x085f161b, 0x9d909ab8, 0x523a43d3, 0xfbe0ab9e, 0xcc2c832f,
+    0x2cca6d1a, 0x383b525e, 0x6749476b, 0x89662bb8, 0x4a0707e3, 0xf9206400, 0xd7be5abd, 0x97007c3e,
+    0xc259b712, 0xf4d69d1f, 0xab68f31c, 0x8a650dc0, 0x80694633, 0xbacb9af5, 0x295351f4, 0x0aa7c1e9,
+    0x589b6708, 0xb575359d, 0xa86d6b7b, 0xbba81ee2, 0xc1736c6d, 0x85b3ec7e, 0xff9bb693, 0x575ddcd8,
+    0xf73bd683, 0x209f4eb7, 0x884e5bb4, 0x2ce000b7, 0x3a1f07e8, 0x1a6a5235, 0x9b4145f4, 0xf67e872f,
+    0x48ccec74, 0xab073b89, 0xd6a0fde6, 0x61328342, 0x7fdcf444, 0xb72abd27, 0xc40683d0, 0x0ac0b185,
+    0xa379249e, 0xa4d4814a, 0xc2734787, 0x62d8e8b7, 0x7eaf464b, 0x3880e829, 0x643f8dd3, 0x104a55d3,
+    0x049c7a8a, 0xc8673d8c, 0x9f5d9cd9, 0xb9c14cf1, 0x6e95cce5, 0x62e32aef, 0x3f3492cb, 0x0f54775a,
+    0x68e1cb0f, 0x9987cb49, 0xee78dc5e, 0x825d9ab4, 0x80a30c51, 0x0b874869, 0xba15a629, 0x30b4e913,
+    0x2bfe991b, 0x5af3a837, 0xe705917e, 0x3585470a, 0x8d4398f2, 0x65ddfa05, 0x801b0470, 0x08be546e,
+    0x78aa1c42, 0x8cb1fafa, 0x0aa9c8d5, 0xea186c25, 0x5ed3ff64, 0xc048b908, 0xa6af3250, 0x19830a01,
+    0x6a71d551, 0x6ac9842a, 0xe0bb9077, 0xd16649d5, 0x73531ad8, 0x76eae1bd, 0x9495b2f7, 0x08a8e1b3,
+    0x8c3357df, 0x6f3c3fc7, 0xf190be19, 0xa9519925, 0x464f3527, 0x4e0336d9, 0x7a329895, 0x5e5c3944,
+    0x3e0ac985, 0xacc87fdb, 0x6a2e5ebc, 0x76a7c55a, 0x78206e37, 0x5b1dfc2d, 0xd91d941d, 0xad6515fe,
+    0xfcaac901, 0x92095d3c, 0x24aa2080, 0xcf28fec2, 0x2e4a16e6, 0xd429146b, 0x4500059a, 0x25147000,
+    0x3c1bd9e9, 0xcc17e6a7, 0x03a269ea, 0xe492d7d9, 0xe096dd8f, 0x874be2e5, 0x8da9f74a, 0xf0d58c21,
+    0x2757b971, 0x9274bd67, 0x42015fe0, 0x9a186c17, 0x62bccd29, 0x62b29140, 0x18aa16d3, 0xdceffab5,
+    0x97d64e0f, 0xdcce78c2, 0x8f8513e9, 0x95ce3cf3, 0xfa7a3651, 0x492d0e20, 0xb584bae5, 0x28816b59,
+    0x316099c7, 0xd31c56e5, 0x29ac2690, 0x32b920f1, 0x0b0b023f, 0xf664ade9, 0xda029d60, 0x06d0de10,
+    0x2b5fb1c2, 0x35d170e5, 0x9cb85d5d, 0xfb74483b, 0x2fe9a7ed, 0xf6fa969d, 0x1d2c5567, 0xde860a06,
+    0xfaa825d7, 0x45941ab1, 0x847034f9, 0xf3501df6, 0x19c1eaad, 0xa1cf9d73, 0xfbb3c5fa, 0x4a9f5753,
+    0x98f0b937, 0xe702696d, 0xe7fec896, 0x2087c06b, 0x57407a44, 0x3f27ba41, 0x340b9bb1, 0x97854a92,
+    0x255aa1ac, 0xabb14a8a, 0xc67ecfdc, 0x9ed5092a, 0xef18ee70, 0x1635027b, 0xb03ec2f5, 0x0eabfc77,
+    0x7702cbc3, 0x86accabf, 0x1f405f02, 0x35a8a9f0, 0x0cde533d, 0x10f2ac87, 0x2abf74d9, 0x47472f2b,
+    0x44d72519, 0x08fbb430, 0x3b0b9e2e, 0x14bcc9b7, 0x2c1a6174, 0x6f287e54, 0xa1970a8e, 0x936c3ddb,
+    0x0ea3ab97, 0xb69e027d, 0xdadedb72, 0x3a7e10c9, 0xc54ef814, 0x7116b825, 0xa1f088dd, 0xcf15f704,
+    0x8bfa416c, 0xd6d32322, 0x07aea856, 0xb9a7e196, 0xfc0d6ad1, 0xb2fe2a81, 0x5dd0eb35, 0x804985cb,
+    0x023f9a16, 0x97fd8b6f, 0x06ce93fb, 0x1df9c215, 0xe2c5dfc4, 0x2d17b82a, 0xf27c6bce, 0xaa272143,
+    0x980fea7a, 0xcba22ddb, 0xcdf9a436, 0x412658ff, 0xd314b2ae, 0xff1aae1c, 0xb36ba033, 0x8f16dc04,
+    0xe701271f, 0x4305cd12, 0xd5ead20b, 0xc859bbaf, 0x6885387c, 0xe9e2dc5e, 0x2b1a3612, 0x5d8a75bc,
+    0x8f33f4d3, 0x8ff41519, 0x6cf0af69, 0xff9e38e9, 0x6055fb60, 0xd08bd8d7, 0xb080e305, 0x9b2f4556,
+    0xc6f59bca, 0x08f74198, 0x82173d74, 0x6634d82f, 0x6ad3b817, 0x7f978830, 0x9a6856ab, 0x56928f96,
+    0x093f7a5a, 0x40834a4b, 0x53e2003f, 0x71ef6d80, 0xd103eac2, 0xabebcc8e, 0xcd0bbf50, 0x8fb348a2,
+    0x1edceb3b, 0x59ea1048, 0x00a6a2b0, 0x3a2ecbba, 0x473fae60, 0x50a1dfd5, 0x3f1a97a3, 0x4a6526c6,
+    0x4016cf61, 0xee43b3f5, 0x62b0511a, 0x81aeddae, 0x0386a96b, 0x3dcac2d5, 0x0524ba2a, 0x4988de61,
+    0xafe6faf9, 0x1085f908, 0x3c7307c2, 0xf21349bd, 0x6892b097, 0xd381dd1e, 0x676162e6, 0xc47d5bf8,
+    0x4a265a6e, 0xee9fc694, 0xed6ac4c4, 0x01845697, 0xcca1ec58, 0x15f5d1d9, 0xb992ed33, 0x284c8527,
+    0x51bb785e, 0x29943233, 0x4a0272f4, 0x82ec9d22, 0x20708336, 0x52bd46f9, 0x82446649, 0x63a865eb,
+    0x7996ce55, 0x2bb2cd28, 0x4f2bf078, 0x72d9afe1, 0xcc918be9, 0xa7dc990d, 0xdbc80028, 0xaf98a612,
+    0x1122eb66, 0xd47c761d, 0xd16f0810, 0x9f0b0ec6, 0x16e81a6e, 0xbb30d8bf, 0x82b8c78b, 0xd1c6720d,
+    0x0036f756, 0xb10ea341, 0x7e11e9a8, 0x40d214ae, 0x79d9b18f, 0x0aadb87f, 0xb0f3017a, 0x92c446a0,
+    0x6ee7703e, 0x9b2710a1, 0xa29c089e, 0x3452d9e7, 0x19853b92, 0x9a315741, 0xee8e8ce4, 0xf38246e0,
+    0x9b45fe47, 0x6c01e56c, 0x2458af63, 0x1f4e1db9, 0x7a2bf61b, 0xea1c4287, 0x686c089b, 0xd2960b5c,
+    0x60b57f5a, 0xa18ebf05, 0x010cc0a3, 0xf516c36c, 0xd4c0a5a6, 0xd5e08ce1, 0xcaf97a9a, 0x5f5641a9,
+    0x07bce36a, 0xe9b2b8de, 0x99cc3226, 0xf2095e2e, 0x7dda613a, 0xa40a5d04, 0xcc32cff4, 0x85a856f6,
+    0xc2682f08, 0x25d673e0, 0x6c29f430, 0x3c907863, 0xb007d6fc, 0xb7513645, 0x54e40b32, 0x033df597,
+    0xa9242398, 0x465025c1, 0x0859fb24, 0x3baba857, 0xa36aabb7, 0x1e853f22, 0x84af0afe, 0xf1e64162,
+    0x343dc0a1, 0xc4f80b34, 0x8cda3f2f, 0xcc65d7a4, 0x02234300, 0x6a6ae7da, 0x13770393, 0xddd9ab1a,
+    0xe157fd81, 0x9ae252dc, 0xedf19287, 0x4eb660f7, 0x404b2a38, 0x582c33f1, 0x3247517e, 0x170fd6c7,
+    0xd29a6f63, 0x5802a62d, 0x56666173, 0x85856dfd, 0x2206fa64, 0x9286d9a7, 0x9281730b, 0xb67b0a2a,
+    0xcbef11f0, 0xff3de755, 0x53cf6f87, 0x715eefe8, 0x4332c97f, 0xc4544484, 0xe3707e1d, 0xd72f9025,
+    0x671a82dc, 0x156a0aa9, 0x04d9e0b7, 0xa4be86ff, 0xac63a6ea, 0xabf85c50, 0x40034c2c, 0xe948f951,
+    0xd31f8848, 0xead25dc5, 0xa022af15, 0x93bb40f2, 0x75cb758e, 0x17ca3aa5, 0x16ec6974, 0x65c407c8,
+    0xfbb2abc6, 0xfa6cd980, 0xf67454bd, 0x74f967a3, 0x9692fdb2, 0xd261e230, 0x6a1345b9, 0xd60db61b,
+    0x4690d8c1, 0x8fe92709, 0x05c470b7, 0xebf75c73, 0xa20ceb89, 0x33cbd423, 0xed9dbf6d, 0xefc42077,
+    0xba93a5ce, 0x9312107f, 0xd69b08ae, 0x97c36f53, 0x1b33580c, 0xa103d3e0, 0x8d2c0869, 0x72ef65d2,
+    0x193d92b1, 0xefed6d4a, 0x503e608e, 0x09f9cab6, 0xcef925c2, 0x90b698ff, 0xdbea86b4, 0x4c7e67f2,
+    0x4fa5fa3e, 0x8044eaec, 0x481b87b0, 0x20e0144d, 0x1627ce5f, 0xce2734aa, 0x51c06787, 0x9da3a504,
+    0x196434d1, 0xf140de37, 0x54575bd9, 0xebe56f3d, 0x84155c97, 0xbe0c2427, 0x47f7f719, 0x29610a75,
+    0xf6b754cf, 0x0e1cb911, 0x6d678359, 0x9e8e4d77, 0x78299406, 0x3d5426c6, 0x68e4515f, 0x5182b451,
+    0x3e239bd1, 0x689b6fc3, 0xde727a23, 0x896a9cf6, 0xc37c4b16, 0xeca5ecd7, 0x738ba320, 0xa99adac8,
+    0xd357316d, 0xebc75cf2, 0x75992fec, 0xc436953c, 0x4e7e2455, 0x2ce94df6, 0x4416f9a0, 0x60091a56,
+    0x24a782c2, 0xcd5e75e9, 0x9c431174, 0xcff62a37, 0x0809457c, 0x52f3e9ce, 0x9ebe1f0c, 0xd4d007c0,
+    0x560cb5d7, 0xbeddec04, 0xa9dd3c3e, 0xfa3f69a7, 0xa61d7246, 0x09b47071, 0x98b455d7, 0x457e5da9,
+    0xa90ca18d, 0x150a7839, 0x5f950be5, 0xfd476585, 0xd2b5ef58, 0xceb0f722, 0xc1759db7, 0x8ec1c9ee,
+    0xf85e2745, 0x4947e54c, 0x3ae2cfd4, 0x798904ee, 0xc5aac9e4, 0xc07a4730, 0xd6d91a51, 0xca90fa03,
+    0x5f429e99, 0x935b9192, 0x7ee4e7aa, 0x3b2932f2, 0x55d90b24, 0xbd82630d, 0xf5c18d75, 0x830fe3bc,
+    0xc9e642ad, 0x1a25beb3, 0x46423090, 0x953c2ad4, 0xf8ec4cc2, 0x247bda4e, 0x44b14448, 0xcb28e5da,
+    0x999880bf, 0x917c33bd, 0xed3f6c47, 0x7321ad0e, 0xd210abcd, 0x99da0366, 0x224c4f85, 0x89c69936,
+    0x4c491df0, 0x90d74f70, 0x799f8974, 0xbdf00be1, 0x8a55eab7, 0x0a70f1a9, 0x25c2b82e, 0x59b27c1c,
+    0x53d55861, 0x6e616242, 0x8ad93abf, 0x68e8ca41, 0x257f7118, 0x4077dbe2, 0x94472acf, 0x5b78bac5,
+    0x8a403620, 0x84d0cdd6, 0x0ada0047, 0xd1300cdc, 0x4639defc, 0x0419f44a, 0x5527e9f0, 0xa2529399,
+    0x50110e16, 0x72e4dc36, 0x356a3b5e, 0xeea39120, 0x96ac34f8, 0xc391c6a4, 0x572af1f5, 0x41088d5a,
+    0xfa66a504, 0x9b77d287, 0xd9e5e817, 0x807f50f5, 0xc4479f46, 0xcda09751, 0xe61307cc, 0xe636d875,
+    0x368c6e39, 0x16721f21, 0x628ab335, 0x96d7a159, 0x4a50f73e, 0xd3768d1f, 0xc0b59c93, 0xf44f6d14,
+    0x38a57ce2, 0x6c40f2e3, 0xaa6169b0, 0x962bbc96, 0x8fb151b7, 0x3a08b44d, 0x3db63f21, 0xd48f71fd,
+    0xc0c72a4c, 0x442264e2, 0x3b0922e8, 0x075fb0ba, 0x5e0af874, 0x4040b200, 0xab81742a, 0xc08ade75,
+    0x3c42a9ab, 0x4c5dc558, 0x45514af1, 0x93e6776e, 0x759d7944, 0x2014ad3b, 0xd7b31e00, 0x2ec57e9e,
+    0x6a2bed9f, 0x5d810664, 0x2d698e5e, 0x0fb4eeba, 0x37d907c4, 0xb6ffab6a, 0x5f502e31, 0x9df4ec41,
+    0x68fbb8f9, 0xb5045679, 0xa31d8a30, 0x083e1e39, 0x985326a0, 0x7c7945c2, 0x75749ab1, 0x559f1538,
+    0x6140442d, 0x6863637f, 0x1d14722a, 0xfe8f1d94, 0xd81945e8, 0x8c33f780, 0xd044b04c, 0xdf8d4ee2,
+    0x00000000 }, /* 10**-00000000000000238170513177184465895202425368741325817001201070020381993038708\
+                          46751188192899823151552628349788604516295066307994130118526061826166445047808 */
+  { 0x00000000,
+    0x3fffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49,
+    0x537f7d18, 0x7a62f99a, 0xf021622a, 0xe0c5c1db, 0x41549c52, 0xf429ebca, 0x11b7fa9a, 0x35ab300d,
+    0x00000000,
+    0xc3e93864, 0x24215252, 0x42231749, 0xd78bb5be, 0x4bc75a23, 0x0d594486, 0xd8ebb480, 0x88667e3d,
+    0x72a7f4e1, 0xf703d84f, 0x0aa040e8, 0x5cda4510, 0xdfb7f03a, 0x04c5c178, 0x9aa2626b, 0x03ffb2aa,
+    0x1126b3fe, 0x72a56ef7, 0x32889f9e, 0xf9541420, 0x0f709dc4, 0x0fb223ba, 0x54b82ee0, 0xccf0887b,
+    0x0b9f8059, 0x7c8cef5d, 0x8f1b9fc7, 0xb3aefde4, 0x144dfe2b, 0x4e88d5b2, 0xe4a7fe8d, 0x404a4d34,
+    0xac946950, 0xc9054558, 0x322637cc, 0x0e3be278, 0x4c3e7553, 0xbe9c1a28, 0x5455c918, 0x354f4e9c,
+    0x7c46765a, 0x4ec6711b, 0x2c6b71f5, 0x3e2be637, 0x964035e7, 0x9c5d02a3, 0x4c822769, 0x3805303a,
+    0xc9cd0f88, 0x90627aa4, 0x2750a370, 0xdb49a96b, 0x6f718edf, 0xa623a4e6, 0x27bb42f3, 0x9e5f12d3,
+    0xe5378a6b, 0x8b0b1a75, 0xcef3e0c2, 0x74969a02, 0xeb67e724, 0x08899a80, 0xd4482e7a, 0x2f0b90a3,
+    0x7c8ae24b, 0xb769aac9, 0xb05f2bf4, 0x776fa2fe, 0x44de0d43, 0x260c1431, 0x8e68493e, 0x93013b8d,
+    0x3da5b611, 0x54f2db86, 0x42dfc190, 0xd524f9d7, 0x7ca2a55f, 0x8e5eab53, 0xee0ee455, 0xc2cd4256,
+    0x98f9e4cf, 0xf9b4501f, 0x0031db8a, 0xfc89f3ab, 0x00c90ed1, 0x924ee2d9, 0x76737ca7, 0x7cf86026,
+    0x8f0916fa, 0xb6167eec, 0x52ee1198, 0x5a5589ac, 0xec675bb3, 0x9a9aca1e, 0xe7507ad5, 0x29f9d6af,
+    0xada26649, 0x3b4bd6c3, 0xde435436, 0xd1552fbd, 0x49b297a6, 0xf3d1d7a9, 0x90f39c24, 0x161bd995,
+    0x66963161, 0xb8e00a01, 0xc82f7c9f, 0x5bf922de, 0x432ebe0e, 0x9d3a9ee6, 0x7b857890, 0xccbe1e09,
+    0xc72e50d0, 0x4f97913f, 0x6c992d01, 0x60c422e5, 0xdf6c7376, 0x8bcb4c41, 0x347d05f5, 0x62efe207,
+    0x5628062a, 0x95d6d6cb, 0x53976bc7, 0x3c32bb5c, 0xdc86c575, 0x27164e1a, 0x65905211, 0xc5259075,
+    0xce617e6d, 0x60c80b37, 0xae51bd02, 0x55af0ebc, 0x34c43787, 0xc9b8f549, 0x30e8aa91, 0x55ac442b,
+    0x5e4a0dad, 0xd28e031f, 0xe610dc08, 0x90b7b42d, 0xf421a9f4, 0xd92a85e1, 0xf99e9632, 0x50759a1f,
+    0x69dcd479, 0x9aece26a, 0xfd60c029, 0x3c6a0760, 0x4fca766c, 0x21394b5c, 0xe303183b, 0x5d676e4f,
+    0x67a22ef5, 0x0c60ea53, 0x3bd43d03, 0x889107ae, 0x4a11733d, 0x553da7ba, 0xcfde8233, 0xc2cea599,
+    0xbc2108ae, 0xd3e6a04a, 0xce237e0a, 0x63b3c598, 0x7ec49084, 0x630839ea, 0xb59d6578, 0x45ce205c,
+    0x602ac52f, 0x95d8c122, 0xcada80cc, 0xa005cbe6, 0x21a08c03, 0x360a5c3a, 0xe912a846, 0x064f2fe7,
+    0x5e4152c9, 0x839941cf, 0xfdf2169b, 0xbf94c217, 0x46f91286, 0xa4eec6cc, 0xefe9892f, 0x775ab024,
+    0x22261b5c, 0x096cee80, 0x3d982d11, 0x6b287d01, 0x441f4a77, 0xd0854235, 0x1b37f060, 0x13685c29,
+    0x4b5e62d6, 0x09d780eb, 0x656215b7, 0x052737ed, 0xc7be3587, 0xf75e4984, 0x4f9ee213, 0x57852112,
+    0x9bfc37b0, 0xc7e7f91d, 0xe3ad8ac3, 0x4ba63e45, 0x09e9002c, 0xeec18157, 0x1e45a0e9, 0xd21974b3,
+    0x0732ab38, 0x87b5728b, 0xae1c4d04, 0x40054f03, 0xdf533f2e, 0xa5c3f275, 0xd7663cf5, 0x3d69620e,
+    0x49191095, 0x2ac51d6e, 0xfcf11d93, 0x0c0111ec, 0x69ef8218, 0xacfdbb69, 0xb6d0326b, 0xc87e368c,
+    0x3e61c747, 0x1de191f8, 0x37499964, 0xd63ad088, 0x65437db1, 0xf86ff439, 0x1e82c371, 0x3688638f,
+    0xb1a55a2f, 0xd2a1ed8e, 0x629166b2, 0xec8f43cb, 0x4ee4e664, 0x9fddee57, 0x3af06431, 0x88f09888,
+    0x80e3b0f6, 0xd12e5247, 0xb3cf719f, 0x233f4142, 0x53051d81, 0x7516269b, 0xf029c656, 0x1918cea2,
+    0xa648e10b, 0x60c16866, 0x683f1e2e, 0x75f9d9f6, 0x6f2fe2b0, 0x39b59482, 0xacd5716d, 0x6eb06909,
+    0xc5c5e2cc, 0x07511cc6, 0x68fe5ec6, 0x3d7afcfc, 0xd27ab594, 0x661e7be8, 0xba768cf1, 0x5be66974,
+    0x5b843ea4, 0xc039dfd7, 0xd5dc2cb3, 0x9e9f4566, 0x4cabb4cb, 0x391ca239, 0xae6826f5, 0xea0b5a0b,
+    0x7d8b23bf, 0x76dec12e, 0x3c780975, 0x2ba36209, 0x8e700fa4, 0x464549bf, 0x3b716449, 0xb5c02477,
+    0x3449d0d8, 0x16ee55dc, 0xaf2dbdf4, 0x0a5ebf51, 0x41813219, 0xca7c7faf, 0x620c6071, 0x7aa906c1,
+    0xf103f3d9, 0x9604675b, 0x4c03a196, 0x112df207, 0xc66c82e1, 0x77acf2f7, 0xb4d767ad, 0x6df30628,
+    0x3d557148, 0xe34b4391, 0xd7d257fb, 0x7dedd871, 0x83cad24a, 0x5bdbc7e0, 0x71c7da16, 0x1bbaef6f,
+    0x90a76764, 0x018eff62, 0x07c68956, 0x625dafc2, 0xac095e7c, 0xf4aa492f, 0xbd63368d, 0x50b3374f,
+    0x85d591e8, 0x143b016c, 0xd6265f7d, 0x094d17e3, 0x4dcc4730, 0x9deb51d4, 0xe8f1bc81, 0xdb9df86c,
+    0xb5fe6d35, 0x583e20cf, 0x54ed2d48, 0x0fc5131a, 0x9f16005b, 0x0de711d9, 0xfa5cdf5b, 0xcf794d62,
+    0x0f89e3d5, 0x599b891c, 0x286bb9e6, 0xb8fb275a, 0xd05cfcc5, 0x19235016, 0xe8175150, 0x5971f0a4,
+    0xf1466dd9, 0x218d6d59, 0x3969f06d, 0xa0d6738f, 0x785baa64, 0x3a32a51b, 0xd583f317, 0x73c2d4df,
+    0x0212b8cf, 0x75c0b853, 0x99f9d889, 0x8c30290b, 0x7db6569e, 0xf2f2e0aa, 0xe7aedf6c, 0x52f05951,
+    0xed140371, 0xf730088a, 0x13969c44, 0xa67624a7, 0xb8a6b90e, 0x1fefbb4b, 0x0b9e076e, 0xb8849430,
+    0x6d201443, 0xfbd31f69, 0x4986b36d, 0x5a549280, 0x75ab6b4e, 0x66420e7f, 0x93224fee, 0xda291533,
+    0xebdd315d, 0x82335db0, 0x6b93a9a2, 0x818fc95d, 0xffc5ef22, 0x4a9569fe, 0x311b2e42, 0x1680cdab,
+    0x886fed45, 0xb45eb7f2, 0xac5cd3fc, 0x664a030a, 0x23613b7c, 0x78ad871e, 0x6dc836d0, 0xef90d2e4,
+    0x5cbbb198, 0x6e6d682d, 0x009c3384, 0xdecce316, 0x3f267771, 0x49311744, 0xdab86755, 0x95c16544,
+    0x93da5878, 0xd229e904, 0x90e60c08, 0xe2cd459a, 0xa11aeeac, 0x5b98bf37, 0x95d307ea, 0x15c73adb,
+    0xaec6f320, 0x831d1fcb, 0xc95eaff8, 0x1934c1ea, 0x6d0d5f91, 0xc424b6c6, 0x4246b1a4, 0x023f8b22,
+    0xbd4e7fe1, 0x96c65142, 0x94e6e9d0, 0x7be3efa3, 0x85bb5d29, 0xe54dd04b, 0xf1053315, 0x03215697,
+    0xd1eeb14e, 0x36cb7580, 0x5dd136e9, 0xf46b19b3, 0x54e5a0a4, 0xeb8e4be5, 0xf98f5220, 0x710dcad7,
+    0xa5966c9b, 0x44789242, 0x7e86733d, 0x81791dc0, 0x876ecb68, 0xe4cb9899, 0x6de02b73, 0xd19c5724,
+    0x59bc29db, 0xfd037502, 0xca57bc6c, 0xa8783a46, 0x82d51324, 0x8882935f, 0x136d6588, 0x3a704d68,
+    0x7ad7281e, 0x4104b636, 0x330b202c, 0x285107f2, 0x99155f2e, 0xb83ce6b0, 0x4e677653, 0x16f763fa,
+    0x0e51998c, 0x57d9ffad, 0x81e2fba2, 0xb8c15607, 0xcfa75c84, 0x728c6706, 0xc725f64e, 0x5135b2e9,
+    0x54a9d97d, 0x1ffc796a, 0xc5367f5a, 0x521c3d05, 0xdd49e50b, 0x0c2dffed, 0x75ad63b5, 0xf909b9fd,
+    0xe8af29d9, 0x0400c03a, 0x1325deda, 0x0489b3fb, 0x2ba151a2, 0x1c1a5967, 0x5decdcc7, 0x64825016,
+    0x344f8d4f, 0x1e3eb3f9, 0x873f4ed0, 0x701d0a68, 0x430e3542, 0xf2addd6c, 0x58963274, 0xf5e31d38,
+    0x85289074, 0x95b141a6, 0x1f77b4c7, 0x0d8c69c0, 0x42180bc9, 0x6a1ca5bb, 0x9b71fc19, 0x90d654ff,
+    0x8a0c52f5, 0x694b6051, 0x85a1367a, 0x1fcc0fff, 0x4fd0e2f9, 0xabbaa3d7, 0x462ee92a, 0x09b972aa,
+    0x87d7e358, 0x5cac592e, 0xbd01f9d1, 0x8459a22e, 0x3a9a5683, 0xa8204a8b, 0x6e482883, 0x4f8c9cb3,
+    0x8016c706, 0xaa1a8d24, 0xdf4fc17f, 0x253fb051, 0x27650c63, 0xa0cc569b, 0x7b89facb, 0x5723f242,
+    0xa305bf78, 0x88c4f2e9, 0xbd7996b8, 0xe298ff18, 0x9de6b0e1, 0xbef9c594, 0xace45492, 0x6ba07223,
+    0xe1fea4f2, 0x550403ba, 0x1cc60ecc, 0xeead37ae, 0x9f4414de, 0x50fe3eac, 0x76e36b3f, 0xa8dcd90a,
+    0x6d250918, 0x85abf90f, 0x65c9586a, 0xfa2ce287, 0xf007d4be, 0xa221a120, 0xd7632bb2, 0xab6cf4ec,
+    0x7e2f5035, 0xc64d4681, 0x8ba1b2cd, 0x1304cf9e, 0x9eea7d63, 0x6ef20e2d, 0xe1fc97d9, 0x728d2d80,
+    0x3dc9c6e9, 0x21533cec, 0x9249f2a9, 0xf55c2205, 0x31b090dc, 0xb4a2bb8b, 0xa8dc5310, 0x1a9c8d4c,
+    0x585ff545, 0x978a5202, 0xe610b0c4, 0xf1c4177a, 0xd10f8b41, 0x1055816c, 0x00091506, 0xa0e963b6,
+    0x607c28ad, 0x8725c108, 0xb9754582, 0xe72a8383, 0x7a7438e4, 0x726b50b9, 0xd63cbb72, 0x69109f35,
+    0xbd07670b, 0x6ca3a77b, 0x3d087127, 0x4e9e355f, 0xdea67b86, 0x6c073351, 0x581ccb6a, 0x72aca9f2,
+    0x4b62c737, 0x4774f70f, 0x6d01a20b, 0x0ad62635, 0xd7b31970, 0x6eedbb6a, 0x0dcb5996, 0xfb8a51ab,
+    0x13628cd6, 0xe623f2ed, 0x0ab62d77, 0x532a37b7, 0x978f0f05, 0xa5698d3e, 0xf23f0d3e, 0x1a5ea42d,
+    0x7d5fabd9, 0x329aad3c, 0xec884a25, 0xa5601292, 0xe52190f5, 0x4d56dce8, 0x53075bba, 0x2b31fc07,
+    0x91e8e338, 0x0c2375d8, 0xfcce5f62, 0xa382b404, 0x2c57975c, 0xff172182, 0xe25fed23, 0xcdc951fb,
+    0x9b08c56d, 0x553059c5, 0x92230f4a, 0xe7c34038, 0xc7136c61, 0x8a198d0f, 0xb2130187, 0x8bd78eb8,
+    0xa0d64058, 0x6160cfc6, 0x4ba080f6, 0xbcd7ed1f, 0x1987ae56, 0xae537e5b, 0x5f71cd0d, 0x95ef05b0,
+    0xa251a0d9, 0xf86fa70e, 0x194411a1, 0xf86bc65b, 0x6a2192bb, 0x4fc23bae, 0xbcc9b48a, 0x065e27a6,
+    0xd988051e, 0xcd26d2bc, 0x095846a6, 0x59c41942, 0xc5d9d640, 0x845632eb, 0xe25b73b5, 0x4fce3172,
+    0x46b40530, 0x3591de1b, 0xabb3f9ca, 0x44afbdc4, 0x5742878b, 0xc9f96b9e, 0xf8af8150, 0x4768ddac,
+    0x9dd5b01e, 0x0e5b540e, 0xca5fc484, 0x9960579f, 0x242be9c7, 0x38e9207f, 0xe93325c2, 0xc564faaa,
+    0x4d77b897, 0x750430ae, 0x5e77170c, 0xfc4a8a72, 0x92050408, 0xddd830d2, 0x84a84446, 0xaa87343e,
+    0xc2037d18, 0xd71f3126, 0x79ae6ce6, 0x851b5ebe, 0x3280e404, 0xf4bd4e45, 0x0be720f3, 0xd87fd9a2,
+    0xcb169cbb, 0xa63785b3, 0x1f557d55, 0xd04db45e, 0xeab5c662, 0x48d6a82d, 0xb7a27457, 0xcb1e94ab,
+    0xa391b163, 0xc65f6725, 0x538eb115, 0x416a517e, 0x72aac1f7, 0xa38652ac, 0xf74c1a01, 0xbeb80574,
+    0x39f5bd00, 0x6d03c40b, 0x6a76a728, 0x72c0ecc7, 0xe2d4b074, 0xb99b72dd, 0xeb7ca4ed, 0x28f843e1,
+    0x942845c3, 0xa68def79, 0xd63b0437, 0x945f9504, 0xb008def2, 0xd13cf515, 0xc2ccf3d7, 0x7d1dfec4,
+    0x5733d9db, 0x6023e0e6, 0xc556724f, 0x85f9f7af, 0x9f549ac2, 0xeec95aca, 0xdf40c260, 0x98dac090,
+    0xbe1439cd, 0x287d47dd, 0x3b430404, 0xeee19846, 0x34aea7a4, 0x54b51019, 0xcd9bf2fa, 0xe2957435,
+    0x55c2a6f8, 0x81b51593, 0xe7bad3d0, 0xf32e7bb1, 0xe8ff296a, 0xaa739e7c, 0xcf0a8dba, 0xe561ded1,
+    0x343e8058, 0xe80fe3fb, 0x432dac6a, 0x8e1394fc, 0x1b768ec6, 0x298fb012, 0x02c59c27, 0x655ce4ff,
+    0x4bf43bb4, 0x63b0e253, 0xc1bf2db2, 0x55d48af0, 0x17027699, 0xba1b88a1, 0xdec97f4d, 0xa02e916d,
+    0x95d58ca9, 0x52403ad4, 0xd0be15a1, 0xe9b993ed, 0x233df5b8, 0xd3c7c4c0, 0x17f6660b, 0x3051d57e,
+    0xcb1e2f3f, 0x360512db, 0xc5c152b3, 0x82ce1a27, 0xec9b07fd, 0xe54c2052, 0x8cf294dd, 0xad70eabd,
+    0x41d57b17, 0x4eb13976, 0x9dfb3e8f, 0xa837b167, 0x390e4322, 0x2dd0def1, 0xc606db4d, 0xf9b97bb8,
+    0x3d6858af, 0xd6e7929e, 0xf9d2432a, 0x422a19a6, 0x8728c338, 0x40d0c29b, 0x249916fb, 0xca52ddef,
+    0x93392af0, 0xbb800af6, 0x44eb81f8, 0xe59ff441, 0x67938b55, 0x44356b50, 0x2495001c, 0x68752f92,
+    0x86659544, 0x653f9a37, 0x4e70273a, 0x6174e89d, 0x7d836efa, 0x046f488e, 0x9598470c, 0xa5bcdaf8,
+    0xfb10bf15, 0xcf742205, 0x76fd5e18, 0xbc9f8701, 0xa93dac36, 0xfd47a7a2, 0xbd8dbd6f, 0x58367c1b,
+    0x63e8a636, 0x32e4b2e2, 0x14a34fe0, 0xaf4367e0, 0x2d77c7a8, 0x3c820645, 0x648e8bc1, 0x8c609e5f,
+    0xfdb17d1d, 0x40393b70, 0x6b99c36f, 0xe79c82df, 0xdb18bcd6, 0x8b0d1595, 0xc2a82105, 0xe84b3793,
+    0xe84a9d0f, 0x0209e57a, 0xaae37ee4, 0x5a59ffc5, 0xe9a2627b, 0x4631c90b, 0xd3985072, 0x06327b02,
+    0x8ddb83ea, 0xe3203d39, 0xf331673d, 0xcf98afc0, 0x752cceec, 0x6b1e268b, 0xae93e821, 0xf1df5617,
+    0x961c94c5, 0x0c477662, 0x253a9856, 0xd268417e, 0x71069e9d, 0x7722b1a0, 0xaddc18d0, 0xb37ab329,
+    0xfaafd5c2, 0xb3f1288e, 0x7d6bdc91, 0xfbe0c712, 0x2dd044c4, 0xb1b6b10b, 0x6f7d7299, 0x45c8173b,
+    0xb985fc95, 0x2ee2e04e, 0x25cc3750, 0x43c6ec7f, 0x2d2fe539, 0x0c6feea0, 0xb46e5e01, 0x962fd928,
+    0x43adb8ef, 0xd788edbf, 0xe5430884, 0x6745b3ee, 0x6626a042, 0xf7337043, 0xfa40874a, 0x7f1510e7,
+    0x6bd8388f, 0xca6cd945, 0xe988ead6, 0xc33632f0, 0xc45bd53d, 0x36625927, 0x9c2bc033, 0x052e9019,
+    0x15d0f4e1, 0x06a8d111, 0x937d42a1, 0xd7a5e7bd, 0xcd7889c1, 0x08ac0a48, 0xb0593dcb, 0x28ec31f6,
+    0xa0fccdbb, 0x438a457f, 0x1bd11ee7, 0xc79f9b69, 0x6be81496, 0x67c18d57, 0x761119d3, 0x27f6c997,
+    0xb8bd02d8, 0xc3fac76a, 0x0f929dfa, 0x7e807e15, 0xde440018, 0xc601c1f8, 0xe893b9ea, 0xbe5a0cf2,
+    0x2854d01c, 0x8a744bc0, 0xb6bf2fc5, 0x5419f06b, 0xdb1236ff, 0x1633ed89, 0x3af0cdc7, 0xdd45ae07,
+    0x2775feff, 0x2a7ed6d6, 0x00f17a1d, 0x6b14d3cf, 0x8bed8e23, 0x94beeaad, 0x382fc696, 0xaddf8cc5,
+    0x369ad97a, 0x840e4caa, 0x1f63c7ea, 0xeedbc3fc, 0x1a58a4f4, 0x346e3424, 0x63f497d8, 0x6b86c54e,
+    0xfe8a6c06, 0x4a158ff4, 0xa7b0033a, 0xa13c93e5, 0x0c5c8649, 0x1ba2abbf, 0x76ec925e, 0xd0fe84ad,
+    0x4f6b4a94, 0x293fff71, 0x10d1151d, 0x28046072, 0xeec16942, 0x14ac1e6d, 0xa9fd64b7, 0xa53803ef,
+    0xd3385156, 0x99867ee1, 0xbb734802, 0xe441062b, 0x32e681e8, 0x32198ef8, 0x712c2911, 0xddad1a99,
+    0x2828e233, 0x9543327f, 0xeccf1a34, 0xfcf18d1a, 0x8b6f07ef, 0x83c65a97, 0x7ba5593f, 0x9dea2018,
+    0xd6c076f1, 0x1f95ec8a, 0xe274e23d, 0x8df655e8, 0x51e967a7, 0xb99dd60b, 0x93128ebd, 0xfbf54dfd,
+    0xb7f99c94, 0x70cce5a2, 0x05703851, 0xfd61128d, 0x117de788, 0x209e76dc, 0xb842c897, 0x514e0677,
+    0xfd79dd77, 0xfd8030d7, 0xc30df1c7, 0x21a014e3, 0xe895720d, 0xaf887f14, 0x8ba6cbd9, 0xe4138e3f,
+    0x43834c31, 0x7f4606e2, 0xe39b569b, 0xe7bb25ca, 0x991f4be4, 0xa526ae3b, 0xea3fa43c, 0x0c95172c,
+    0x372e7dc3, 0x32e0c298, 0xd2ef95e0, 0x99a14f23, 0x2acf5ca2, 0x6c146b78, 0x1d3b1d4c, 0x550f66a2,
+    0x8470b50c, 0x8dcc2e70, 0xbd116a8d, 0x80048776, 0x07c5efef, 0xcb9457d5, 0xdf012db4, 0x2feecfd2,
+    0xe080e0bb, 0x24b710f1, 0x1d45a5ab, 0x8864cf95, 0xf9709fce, 0xba31ee75, 0x7e2848df, 0x6d8860b9,
+    0x00000000 }, /* 10**-00000000000000119085256588592232947601212684370662908500600535010190996519354\
+                          23375594096449911575776314174894302258147533153997065059263030913083222523904 */
+  { 0x00000000,
+    0x3fffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b724,
+    0xa9bfbe8c, 0x3d317ccd, 0x7810b115, 0x7062e0ed, 0xa0aa4e29, 0x7a14f5e5, 0x08dbfd4d, 0x1ad59806,
+    0x00000000,
+    0x9e5b2035, 0x983b21e5, 0xf65b38c4, 0x12f08531, 0xa6d251cd, 0x264c7e61, 0x69d84e91, 0x619694ff,
+    0x9f306e45, 0x7f03b2cd, 0xfa7fd99d, 0x8f66783f, 0xe5b6b642, 0x0c2a5cf0, 0xc8068c4b, 0xcea1256a,
+    0xebeaac7e, 0xaae09540, 0xb80b13d4, 0x1325c01c, 0xf0d205e0, 0x38d4df96, 0x2327ab62, 0x43b99cf4,
+    0x729e8374, 0xcd25431d, 0x7a20e391, 0x22acd25f, 0x979758c7, 0x3b9fd027, 0xe26a9fbe, 0x0fca2fda,
+    0x3dc99b79, 0x60f17008, 0x7f1fca79, 0xcf0879c3, 0xbba44c19, 0x499b972c, 0x724ca451, 0x5226e861,
+    0x733ac9d9, 0x8074651a, 0xaffdb57b, 0x1a5e3937, 0x04523bdb, 0x9817416e, 0xc9c4de0c, 0xc3f659f0,
+    0x2cdbb13c, 0xf79cecce, 0x93f116b3, 0xf4e95d2a, 0x999f7972, 0xd53083de, 0x4fcd3779, 0x2e05127b,
+    0x8f1860e5, 0x6c03dd35, 0x38c0ebbb, 0x6120e760, 0x46632eaa, 0xea3bad3c, 0x7de5554e, 0x7561a3b1,
+    0xb28e4afe, 0x985040e1, 0x1e90e759, 0x216ff422, 0x277e3a33, 0xdca50eb6, 0x67e2082b, 0x419716bc,
+    0x71c1972f, 0xaa10cd2e, 0x01a6987e, 0xdc553c6f, 0x6de2c608, 0x61f6d6fb, 0xed2b1368, 0x978cbacb,
+    0xf91673d4, 0x512d6bb9, 0x8836df83, 0xed0e062f, 0x3e75f265, 0xbd1e242d, 0x7a4cb0c2, 0xec562f13,
+    0x0464a4d4, 0x2ef89974, 0xc3770454, 0xdfe606ea, 0x65bc4569, 0xbc4a89c9, 0xe1ffb366, 0xc6213307,
+    0xde9d9c31, 0x57bec636, 0x0fbf6d8f, 0x1f7c8455, 0x96fa2da2, 0x3c9b4968, 0x8bf5a4cf, 0xa7e32743,
+    0x9cc33d47, 0x9c25c1a2, 0xb1f9ffd3, 0xaa297ff5, 0xe8e5ef5b, 0x3de28cdd, 0x97edd7c2, 0x53f127f0,
+    0xcda7596b, 0x82d2a697, 0xb2876d55, 0x7e065e58, 0x7c0a438c, 0x02babece, 0x1d514677, 0xbec3be71,
+    0xf848bbc3, 0x369636f2, 0x7781c0c3, 0x8473a0c3, 0x62ba6b7e, 0x7b9a8ba5, 0x2f7083cf, 0x373d5be2,
+    0x1f58e016, 0xec30ffa6, 0x52550346, 0x0e726618, 0xa3440e6d, 0x5af0f1cf, 0x18168905, 0x1d72b7a2,
+    0x72588cdc, 0x6822da40, 0xf1f8785d, 0xa463c943, 0xb8561ddd, 0x353d4e78, 0xc022da51, 0x30f9c6ed,
+    0xa4517e99, 0xeccadbc3, 0x8c66d098, 0x5656508a, 0x14b16a14, 0x74a0732b, 0xfb29bc7a, 0x51231aca,
+    0xd573de0d, 0x987fe271, 0x90e533b5, 0x701fb307, 0x60f07697, 0xfb160e1c, 0xd2d77653, 0x19aea560,
+    0x893c1e62, 0x8c01c631, 0xf74a09ee, 0xd8ea3131, 0x38523bbc, 0xe3e8817d, 0xad706154, 0x1bee77ce,
+    0x85f20103, 0x6a1e64b2, 0xe3546438, 0x912be7dd, 0xa6a6ab3c, 0xfc1162ac, 0x357c6075, 0x176c7afa,
+    0x451c085f, 0xbb07875f, 0x42a482fe, 0xa3ca558c, 0xa9dbdc11, 0x7b1297eb, 0x7b1bd0bd, 0x482494f1,
+    0x4027d1d6, 0x70d13828, 0x62f9f51b, 0x0fcb0e3a, 0xc99ba89f, 0x55ab9bdf, 0x2ce56a2f, 0x2b7d9c24,
+    0xe87ab325, 0x6146e377, 0x10ad6e50, 0xd06f01aa, 0x36a59590, 0x9b33e8a2, 0x8b3bf321, 0x12d524bb,
+    0x56f11846, 0x8e200722, 0xbf469306, 0xabc108ea, 0xe9c01c43, 0xc42a22a7, 0xe9160735, 0x0be58510,
+    0x13219a9d, 0x06341607, 0x0c51cc99, 0xde5fadf1, 0x60fd264a, 0x7a058854, 0x3906248f, 0x99856d23,
+    0xd48fb013, 0x706f1207, 0xd79bf865, 0x2fa86f26, 0x33e906e8, 0x65b2a8d0, 0x9fd6aa48, 0x94df13fb,
+    0x6a9e0f27, 0x365e41cb, 0x8b1d0270, 0x7383c2f1, 0x34141534, 0xc78d5381, 0x08128a2b, 0xd4527469,
+    0x4f8a72d5, 0x97b19ebf, 0xab3ad0b9, 0xcebe6520, 0xd6e2ffab, 0xa0058021, 0x356034a3, 0xb7956f42,
+    0x27020c67, 0xbbb2f800, 0xf6e354a9, 0x5f46210d, 0xd8f1f0df, 0xa3a44c4f, 0x6d475f17, 0x9ae72fe0,
+    0x58b3d4eb, 0x73f521fb, 0x28e1d770, 0xb952ba43, 0xcfe64ccc, 0x0407708a, 0x35f5085f, 0xc8699910,
+    0xc25d5e3a, 0xfca441a5, 0xca6ea059, 0xf806c884, 0x9d5fd047, 0xcf44f71d, 0x7044bf1d, 0x458ee796,
+    0x8c51bfe1, 0x8cf778b8, 0xf9661c37, 0xbe9c0626, 0x81df3ba7, 0x4f91c56e, 0x869746dc, 0x94f8f54b,
+    0xfd51c96f, 0xf4b47f93, 0x80ca41e5, 0x7ec7a83d, 0x6dda70e6, 0x69266611, 0xd8983673, 0xe188e0a7,
+    0xb64bf220, 0xff8a2753, 0xeaf94104, 0x67043240, 0xcce55e19, 0x0ad8454d, 0x2a12994f, 0xbeba5cd4,
+    0x816d15d6, 0x74dabb03, 0x24d3f751, 0x59eb2b2f, 0xfc84467f, 0xe65edaf0, 0xd300a6a8, 0x65f63936,
+    0x1e4ea363, 0x4d54daa2, 0x7c8bc8b6, 0x33350f86, 0x375be0ca, 0x06b3d440, 0x4b2647f9, 0xc76177a2,
+    0x7c05cc24, 0x317bdef9, 0x47016f82, 0xe4be5389, 0x55d7d9f1, 0x3e0cef34, 0x57d7d0a3, 0x3c101e2d,
+    0xc7177071, 0xe4c1760d, 0x2aca93b4, 0x027f5914, 0xe3df3536, 0x6c93764f, 0x5e4ad86a, 0x1d5357f0,
+    0xa7bcec66, 0x82995adc, 0x26a08bf4, 0x1b387a5e, 0x03c3680e, 0xa556b938, 0x57962350, 0x780179ad,
+    0x8ac6acc4, 0xffbb4eae, 0x5433e457, 0x2cb95581, 0xc7f4d5a6, 0xe8307cf7, 0xfdf9031e, 0x2947da1f,
+    0x6e8cc7c0, 0x1392f9e5, 0x8b4953aa, 0x292a10d1, 0x0c7cb465, 0xc60fec43, 0xce2da708, 0x7867037e,
+    0x830b5800, 0xff50a235, 0xd5cd63cd, 0xce7edc27, 0xd2cbec86, 0xe4eb80b6, 0x2a0b9529, 0x3b3235a0,
+    0x41c266a6, 0xe8df3a90, 0x60519141, 0x7a908125, 0xbbfe228c, 0x3d09385a, 0x04d6aa39, 0xf56a45f9,
+    0x1555d3e5, 0x06ed3f48, 0x04c24da4, 0x19482ce6, 0xdcc146a5, 0x233c6526, 0x5f81abc8, 0x336f5017,
+    0xa6032073, 0x82a1bfd6, 0x3f7592d1, 0x2b98daae, 0x6c1d7e8b, 0x3b5de2f7, 0x7464c2e6, 0x9e4722f0,
+    0xcce6d610, 0xb487f8ef, 0xe0792512, 0x33d4cc13, 0x1f089d2b, 0x0e8fdfca, 0xd7738f8d, 0x5b4c91d1,
+    0x5ea758fd, 0x40611690, 0xdc2efa61, 0x0edfb205, 0xf0ab0a05, 0xb4a6c935, 0xdce0f1e1, 0xca6138d5,
+    0x90786a35, 0x2500e809, 0xfd5f0693, 0x9e02ad6a, 0xd2279a07, 0x2b3df43d, 0xa394c548, 0x1fb7aa3d,
+    0xe0a9a994, 0xf4259969, 0x471f52a8, 0x087e84e4, 0x4787f428, 0xa3a75906, 0x1fc774ec, 0x1193acf9,
+    0x27f127ca, 0xe159757d, 0x5dec8ea3, 0x7a900523, 0x5e841898, 0x1c519e9a, 0xddf90b99, 0x58253816,
+    0xdfb4a811, 0x2869e3db, 0x0dd331fb, 0x7652d896, 0xb98a17d4, 0xb329c1c6, 0x601a8f3e, 0xefab0654,
+    0xcfce65f0, 0xbe6ec3ee, 0xbba8bea8, 0x08c4aaad, 0x453c25c8, 0x16c6daea, 0x4d867e58, 0xd2e40d73,
+    0xa9de6525, 0x11fbc9dd, 0x763d89f0, 0x9f554b31, 0xb111a922, 0xa568c191, 0x781ae7ca, 0xade3ffe6,
+    0x05947cde, 0x1c29026b, 0x5c250ab0, 0xc3bba7ef, 0xfbfbdcc0, 0xe0b43f64, 0x2775073a, 0x76484beb,
+    0x53cb619d, 0xa4a4c291, 0xbbd6626f, 0xa398139f, 0xd44ee62b, 0xf49c07f1, 0x53c2771d, 0x1e8474fd,
+    0xd4c088fa, 0x123a82e8, 0x5a1b26e2, 0xbe2adce5, 0x94e0bded, 0xc87ef73c, 0x93420e9c, 0x2e2bd9fc,
+    0xac7946dc, 0x60da9b99, 0xac70dbc8, 0x901c779d, 0xf436c3d0, 0x2f9a00b5, 0x65583d0a, 0x257a8d12,
+    0x98c5ce8d, 0x08e3e2d8, 0x6a424b35, 0xe0a9c0f3, 0x3368e684, 0xbfb61825, 0x82376d0b, 0x3fff79c7,
+    0xd83118d8, 0x09f2c500, 0x10cecb10, 0x7b345a01, 0xe2e9f463, 0x649c043b, 0x90cd2148, 0xeed52b9a,
+    0x2e70bc27, 0x423a221e, 0xa48390b3, 0x52d9d2ab, 0x82618599, 0xbfb83ae3, 0x0dd70140, 0xd1e15bd1,
+    0x0ef4f4ff, 0x4a6479dc, 0x7afaabb0, 0xfa91156b, 0x2de7142d, 0xd0f135fb, 0x3d20e260, 0x7eb823a6,
+    0x20b41804, 0x83ce54fc, 0x78eb7460, 0x62e5e5d0, 0xb3882bde, 0xd2aad923, 0xe560f0a3, 0x6cf44725,
+    0x406e3329, 0x4bccdb58, 0x763dfb20, 0x6e35d1fe, 0xc97545d1, 0xfe5676ab, 0x8f0f54e8, 0x1307cede,
+    0xe1fbfb84, 0x243d1a5c, 0x135a27aa, 0x8f5b0f29, 0xb6213207, 0xe28c1504, 0xef8fdba6, 0xbe4ba48b,
+    0xda47bacd, 0x800daa00, 0xc83a6abc, 0xea605d97, 0x4ecab3f3, 0x591be201, 0xe1d73665, 0x7f0625c2,
+    0xd560317b, 0x0d6bc5cc, 0x0f91b6ab, 0xa006b9be, 0x5c619c13, 0x5f1479b4, 0x6a7aaba3, 0x016baf18,
+    0xc914f362, 0xd38749c3, 0x15191fc4, 0x1d4b26fb, 0x382b3953, 0xff24a36e, 0x188dbfda, 0xa9bbc633,
+    0xc65d6d14, 0x348aed70, 0x86ef9c6a, 0x7e601551, 0xdbe35608, 0xfe4fa794, 0x811294a6, 0x2d071a06,
+    0x24b5811c, 0x01579909, 0x7f0275e2, 0x34516289, 0xcb776d69, 0xa052fd7e, 0xa8c6f4a2, 0xd411a42e,
+    0x8d5861a0, 0x50455cd4, 0x2339ab6a, 0xe774b5eb, 0xacd0f519, 0x659b070b, 0x019d2957, 0x8220bdcd,
+    0x03f614dd, 0x6f4249a0, 0xdc7467e1, 0x8a99257f, 0x2f8e766c, 0x3a91edb8, 0x185971d0, 0x42f1995e,
+    0xc5786c86, 0x25475e82, 0x94b50d9a, 0xd6df0fa6, 0xbba79461, 0x8fc4bdf5, 0x47895940, 0xbe38016b,
+    0x29f7b251, 0xc498c033, 0xbd3eb15d, 0xa99e8da0, 0xdd33519b, 0xafa28685, 0x8414685d, 0xd8ceda46,
+    0x92f600b3, 0xc6e77008, 0x85ad066f, 0x97f17cea, 0x0078ce7f, 0x92f61d82, 0xf6ba4944, 0xe70f5500,
+    0x9e5522eb, 0xd596ffd5, 0xd94834d5, 0xc2764c07, 0x3116f5af, 0x9e8a31f8, 0x9842e7b0, 0x8aa597b7,
+    0xfc9f8e49, 0xbe40bf26, 0xd158cda4, 0xd42f3296, 0xc7805775, 0x78dca885, 0x60a385e0, 0x97a3a465,
+    0x837d9457, 0x68466783, 0x31b274b1, 0x98b288f6, 0xe5b58136, 0x4057f009, 0x052dca0a, 0x9bb4ef28,
+    0xff92abea, 0x7a931625, 0x992db742, 0x4bc1e35f, 0x3dc95ae6, 0xc7373d86, 0xd1f698a4, 0x047a8230,
+    0x940abdda, 0x4a84779e, 0xd513f6d2, 0x4b1b0adb, 0x85ee2399, 0xc3431df7, 0x31e60569, 0xdb1e3462,
+    0xf3bd5b98, 0xd3f8add7, 0x7b64a283, 0x63ee5d00, 0xa0835af2, 0x928c8ef7, 0x9b6c2628, 0x5e8b1bce,
+    0x77016ef3, 0x358083f3, 0x05822d35, 0xe86efae6, 0xab050ee0, 0x09a0f4c4, 0x3d8b8f77, 0x5d2e606e,
+    0x7c690fc7, 0xc6c78e5d, 0x5f707794, 0xcfaeaa12, 0xde4c853d, 0x7a0a702e, 0x0584971e, 0x55b06e15,
+    0x60667aae, 0x6cad807d, 0x611ae48a, 0x57834c09, 0xa48ef320, 0x25fb3e63, 0x9e52c23d, 0x6d04a4b4,
+    0xbd1f7244, 0x427176e3, 0x25559b15, 0xe9ac3df8, 0x469b38e2, 0x820e9b05, 0xc496cb4a, 0x385ad445,
+    0x5c59aab1, 0xbd143578, 0xa0763c7c, 0x89767293, 0x5cfe229d, 0x3d8735b8, 0x8b3e46cd, 0x46936acb,
+    0x5932471c, 0xa4397639, 0xcb3b0a12, 0x0d5e4455, 0xf8ca9721, 0x3a67239d, 0xfdb3a5dc, 0x257a1038,
+    0x425d551f, 0xf75a9e3a, 0xee04d99e, 0x778ba0e3, 0xedc78dcf, 0x0c43c7e7, 0x11cbc17e, 0x51c68d39,
+    0xde9977ad, 0xe0511d54, 0x6f1fb2d9, 0x11039158, 0xa4617318, 0x78e7b01e, 0x3472c240, 0xb9b34fc0,
+    0xc1007f6f, 0x2145b3a0, 0x9cc55181, 0x34553d78, 0x5f199001, 0x04a4aef6, 0x5a1c5ee3, 0xdf39aa41,
+    0x5e1faa26, 0xd91c4de7, 0x5ceba59e, 0x1d2fbc49, 0xaff885ba, 0x319f784b, 0x87a5dd68, 0x6a93dcfa,
+    0x64586338, 0xce501d27, 0xfb50e612, 0x80864b1a, 0xb9aed1cd, 0xf7bdbc4d, 0x1af4e84b, 0xf69a829a,
+    0xff172c93, 0x12dd46d6, 0x2a54d803, 0xda769f05, 0x437b93c3, 0xfc227e5e, 0xe2482779, 0xf45b525d,
+    0xe620eef8, 0xcc95610e, 0xc7caeaf0, 0x34b2df8b, 0x40bc7dd2, 0x52e94a11, 0x47118d0d, 0xadc1062a,
+    0xcc51aecb, 0x176f0fc6, 0x1e655b3b, 0xfb55afb7, 0x7cb174e1, 0x204cd58d, 0x0f03dcb2, 0x3f49e122,
+    0xef995a64, 0x8dca8834, 0x7399951a, 0xbeb9f140, 0xcdac5e54, 0xe21f74fb, 0x2c6bea1a, 0x836cdcfb,
+    0x1d8b1b4f, 0xdf2b593c, 0x069523d1, 0x2ec65179, 0x0c2a6156, 0x1124f4a5, 0xe479a0a2, 0xbb373ffd,
+    0xde879d16, 0x85934f50, 0xae0dc151, 0x332629e1, 0x17063b2a, 0xfce1ec26, 0x47ff8fed, 0xbc1d491c,
+    0x7bdc1c34, 0x8c487cc5, 0x1191fa8d, 0x36a13b3b, 0xaabaae90, 0xe1428ebb, 0x385925ff, 0x22d52a7c,
+    0x3d5716f5, 0xe90b2a13, 0x70f37f3d, 0x99969c5c, 0x23a90d14, 0xfb7081a5, 0xf712e944, 0x617b5b74,
+    0xd6fe0ea8, 0x391d8ef7, 0x979a1480, 0xf6bf321e, 0x3d4d0e15, 0xf9d81736, 0x25e39add, 0xbe3271d4,
+    0xbedd486a, 0x49388353, 0x86f0635a, 0x67b05ee7, 0x1b48bbe4, 0x1dafeb14, 0x30033da6, 0xa1b2cda7,
+    0x14e3fe96, 0x26d2eb67, 0xda3dc50e, 0x0e30123e, 0xf83c77e8, 0xa7291c93, 0x231134b3, 0xb2d77e9a,
+    0x0dfa7709, 0x2f52a776, 0x14cc7cba, 0xd8f0edd4, 0x973c483b, 0x61d2fd9f, 0x0779bf29, 0x6406a0dd,
+    0xb5881c33, 0x42cb35b8, 0x5685cbc4, 0xb5947d4d, 0x7541acc0, 0x5ae18ea8, 0x02c279f1, 0xe8e6e379,
+    0xf2ec6297, 0x6f5cb979, 0x7d5b3f11, 0x2b73b911, 0x2c9c2b1d, 0x22255301, 0x1258904a, 0xdc525544,
+    0xf6a55e8b, 0xbbafc61c, 0x22a3f190, 0x28accf8e, 0x899b9604, 0x06850f94, 0x9e5a9a5a, 0x8a2d0206,
+    0xbadb853f, 0x61b31eda, 0x16ccc831, 0x08cdd97b, 0xa1918a65, 0xb594eb8b, 0xe53dce8c, 0xfe3653df,
+    0xc8a59b5b, 0x7dc6d1c8, 0xb39f2862, 0xa28b3208, 0x63a9933c, 0x8d62afa6, 0x0d94c36e, 0x85e61a65,
+    0xaeb995b9, 0x988f29b3, 0x66576bd9, 0xd7e788d0, 0x6aed0e16, 0x8eda2e27, 0xa4d5bdb9, 0xe15c5166,
+    0x0d42ceb1, 0x9e9905b5, 0x38595f1a, 0x5f4d5d51, 0xbeb64960, 0xcfe12403, 0x3db282cc, 0x579e9b4b,
+    0x7b148f36, 0x05bbe540, 0x9a584894, 0x36bda784, 0x3ba88424, 0x0f3a9d7a, 0xa48647f4, 0x44707fe5,
+    0x415f79e8, 0xb1fef78e, 0xe1dcefa7, 0x4cff38cb, 0x9ba5d205, 0x12946384, 0x293ed3aa, 0x5ffe235d,
+    0x2aeba41c, 0xa1d8a5a3, 0xad130c31, 0xcf5e7188, 0xe88ac750, 0x7b614fbb, 0xcaf0e30c, 0xd0a1e8c4,
+    0x49f38658, 0x8df03517, 0x4c7d1a37, 0x7da61f5d, 0x98b3699d, 0xdeea9231, 0x5d2557b7, 0x00591383,
+    0x69c1d988, 0xfbfb1212, 0x319f3cfe, 0x8733a106, 0xb038981c, 0xbed47709, 0x488fecbc, 0x3487b34d,
+    0x50590891, 0x91d9c347, 0x5f5e05ba, 0x35742be4, 0x3d5abbfd, 0xe5f9f5f7, 0xae895bd4, 0x35983c0d,
+    0x374cd6ec, 0x3f9b24f6, 0x637370cf, 0x1429716b, 0x86d224e8, 0x8e6c859f, 0x37313f9d, 0x146912a4,
+    0xc7e533aa, 0xd9f2ff79, 0xe45c45d8, 0x2b2fca28, 0x1c3ce38b, 0xcb367214, 0x7924214b, 0xcf0a57c9,
+    0xc83a5068, 0x89f95bd1, 0x0fdfbeb0, 0x44a96abd, 0xaeede24b, 0x265b4807, 0x669a8216, 0x39b5c165,
+    0x491605c6, 0x27b60009, 0x3b3d02df, 0xc0f19413, 0x66321b83, 0x4481fafe, 0x15105d01, 0x27756b36,
+    0x3bf71f43, 0x6100540d, 0x56e61640, 0x511912b0, 0x3ed92cb7, 0x4ee82b2a, 0x5f5e2538, 0x5949c4d6,
+    0x03e29bc2, 0xb3290360, 0x574d98d5, 0x2b8d4a74, 0xe4bdfc0a, 0xa7a50da3, 0x80c5f63f, 0xdded0795,
+    0xf0418159, 0x9dc3f756, 0x33a1e56a, 0xf023f57f, 0x0b97ddea, 0x3e20addb, 0xb51bef2b, 0x8c8d4965,
+    0x92629ff3, 0x0be262bc, 0x92b2ccbf, 0x7a6e8d1d, 0x65d36a5d, 0xaf39b282, 0x6f3f26cd, 0x0f6c3a21,
+    0x00000000 }, /* 10**-00000000000000059542628294296116473800606342185331454250300267505095498259677\
+                          11687797048224955787888157087447151129073766576998532529631515456541611261952 */
+  { 0x00000000,
+    0x3fffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92,
+    0x54dfdf46, 0x1e98be66, 0xbc08588a, 0xb8317076, 0xd0552714, 0xbd0a7af2, 0x846dfea6, 0x8d6acc02,
+    0x00000000,
+    0xc957e2bb, 0x091adba6, 0x2c98a7a2, 0x041f59c2, 0x1634d149, 0x54aed715, 0xff907062, 0x88bdd01c,
+    0xdaf1e33a, 0x43e1ce8e, 0x8444c58e, 0x501e3ecd, 0x48827732, 0x209bff12, 0x6bc98f56, 0xad4d0f89,
+    0xacab652d, 0xff998f6c, 0xfc0ad5ca, 0x181732e9, 0x73df9867, 0x2e1a7ea1, 0xa1c1206f, 0xffddaeba,
+    0x7063594a, 0xfbc31e43, 0x8e0dfd3f, 0x646f6c5a, 0x2d18a45c, 0x5dc2aecb, 0xe0ba7cd4, 0x398f514a,
+    0x434c77e0, 0x612325c0, 0x298af057, 0xb803bc8a, 0x7e593d61, 0x5c410e57, 0x83a81573, 0x7ef1c9f2,
+    0xa0d69056, 0x12a14c14, 0x54883dfc, 0x5f8af35e, 0x29c4260b, 0x6703fe83, 0x08273fd8, 0x584bb90b,
+    0x06822660, 0x3341d374, 0x34e5cb09, 0xc81cbcff, 0xb5d5bda3, 0xd1b8ef75, 0x4edf897b, 0xebb726e4,
+    0x906215e9, 0x4c60e8a7, 0x3a2d86a8, 0x0661b131, 0xd9feb8bd, 0x9b987f8a, 0xd39fa9e8, 0xfce025f9,
+    0x719ef222, 0x438e967d, 0x5e2dddbe, 0x69b009c0, 0x3527d5af, 0x1f26408a, 0xb7337a31, 0x4b320ea1,
+    0x80967b67, 0xbe07e7c2, 0x22c790bb, 0x46976bcf, 0x09d63908, 0x07586293, 0xb810f78e, 0x2912013e,
+    0x10272a0f, 0x68e4465e, 0x6d801b84, 0x7f27eccf, 0xdf225108, 0x7f16be8e, 0x778bcfb0, 0x4996aeeb,
+    0xf6b69ab9, 0xb5539f78, 0xf9a7123a, 0xb9369e63, 0x2ebd439e, 0xcf99d034, 0x1aacabc1, 0x434d9707,
+    0xb4f93036, 0xaca1b7be, 0x1917936b, 0xd6fcfcdc, 0xe6c0c384, 0xa7fa2f2b, 0x1f15f42a, 0x948871a6,
+    0xc53311c2, 0x4f2d2924, 0x709a963d, 0xc080b3be, 0x458fb69e, 0x0c9b8319, 0x5d475176, 0x939f16a1,
+    0x931414fd, 0xc6b68f19, 0x1ad3e336, 0xc6219d67, 0x9bd3b54c, 0xabf0da07, 0x3d517dc2, 0x6603d8c2,
+    0x9afd1c26, 0x632fe570, 0x3ad20bbc, 0x02e22314, 0xa4736d68, 0xfe8b03f4, 0x6a99a624, 0x2faeead8,
+    0x7fd60049, 0xf042cc04, 0xd657e17d, 0xd2889ad8, 0x0f28a43e, 0xb426882a, 0x137098fc, 0x93025659,
+    0x5dde2447, 0xd18d2959, 0x6ab35abf, 0xcdf9fe2e, 0x82c40039, 0xf67c71c9, 0xdddd148b, 0x93a68edd,
+    0x50d2f344, 0xed521fc1, 0x769f72ca, 0xee2d4ecb, 0x35645cab, 0x251b32d0, 0x92af20ae, 0xfd16c414,
+    0xfa118aed, 0xedc30377, 0xe52bbd5b, 0xc993d2d2, 0x8ab14821, 0x6da8e4ac, 0x3ba9fb85, 0x351490d7,
+    0x7e8d762d, 0x2ee8485c, 0x0d89477b, 0x4fcb6fa0, 0xf54c33e6, 0x8e9ff374, 0xf88bc764, 0xbf9ba0d7,
+    0x18ad8ca4, 0x19bcabdd, 0x59bebec5, 0x45018c1a, 0xc63a7efd, 0xba7b9438, 0xe46a15e1, 0xc7e22493,
+    0x734494d0, 0xca4d9f83, 0xd72efb76, 0xeaa085d7, 0xd630d2cb, 0xc9a7183f, 0xd0417dbe, 0x7dfa23c1,
+    0xb4ca4135, 0xa9aa6ccb, 0xc38e3647, 0xf3b3375c, 0x16d0d1e4, 0x2e609ada, 0x1708e2cb, 0xf67c76f9,
+    0x45afa210, 0xd0843dfa, 0xfad0252d, 0x89e92f05, 0x78669bd6, 0xe9f77c6c, 0x3852c815, 0x64f0adcc,
+    0x58b3c130, 0x140b1000, 0x5918bce7, 0xf35497b1, 0x007a2fc4, 0xa7df84e4, 0xeb21f41d, 0x44f00ce1,
+    0x92f37034, 0xf65fc08e, 0x7377b257, 0xd6cba023, 0x7386365e, 0x3349d364, 0xece5464f, 0x21da2462,
+    0xc99044a4, 0xda429b15, 0xd9038e9d, 0x45228a3d, 0x03817011, 0x1322a071, 0x416cfc5d, 0xc4eb33c2,
+    0xecc13a89, 0x5c7ca12c, 0xea011698, 0x22918aea, 0x8d18d687, 0x77f48930, 0x3dae6d9f, 0x0ace2201,
+    0x3514b226, 0x0dfe5308, 0x3f1f42a7, 0x114c2c71, 0xb0e3fe06, 0x0e31611b, 0x9fbe5056, 0xa21df2b9,
+    0xa2b37c49, 0x521be50e, 0xef1cd8e4, 0x935adfc9, 0xa1f9d0ed, 0x250bb356, 0xf80e9b56, 0x2e47ed27,
+    0x6f98a5a1, 0xeb9e4405, 0xefe48e9a, 0x776eb7e1, 0xd9a83f6e, 0x6099b37c, 0x70afb1ec, 0xcf0f82e9,
+    0x59dce07a, 0xc8795ca6, 0xcfc5b956, 0xfa8a7b49, 0x4724d619, 0x4fbac34f, 0xd70af896, 0xeda13ffb,
+    0xe2a616c9, 0x9d7454c7, 0x6f18a411, 0xc064b76d, 0x2cad2d73, 0xba25efe2, 0x53c1804a, 0x7c90abf9,
+    0xc2ea279d, 0x4a1d28b4, 0x85e93b43, 0x42495c70, 0xe3ce3aa1, 0x96a8d5b4, 0x802e9566, 0xbde017b1,
+    0x8a40b8dd, 0xe133a222, 0x1f02e63d, 0x53909abd, 0x9013261f, 0x54a82363, 0x36cdeed7, 0xbf2450d1,
+    0x6e5c1a1c, 0x00c17c51, 0xb68caea4, 0xe568a3d8, 0x95d6a82f, 0x9461e2ec, 0xdb3d7ac8, 0x474965e2,
+    0xd406cf75, 0x6d4f6fb2, 0x025aa916, 0xa6d077c3, 0x42077b4b, 0x99286d97, 0x1a12d955, 0xa2eedd08,
+    0x3f722b9d, 0x0bca9deb, 0x201bacf1, 0x2591e652, 0xc60975e1, 0x43b54082, 0xb25b5c96, 0xdb811b1c,
+    0x05b20ad7, 0x57882bc6, 0x98b03742, 0x46ce0026, 0xa5024977, 0xe2caf61a, 0x68d427e1, 0x542b3e53,
+    0x1cc3cdf8, 0xfcb94778, 0x469362b1, 0x630cf72c, 0x3e421451, 0xee80ef2e, 0x1a1e4815, 0x93993286,
+    0x75e170ef, 0xcd03f1ba, 0x231ac311, 0x78a390eb, 0x833dab40, 0x0d2cb669, 0x0f62652b, 0x63312fdb,
+    0x28419d17, 0xf9f13293, 0x7b8e93bf, 0xb4c76e09, 0x22be1b23, 0x37cfd5d5, 0x22d06527, 0xecb12846,
+    0xebb5bc51, 0xeb879cf8, 0xb2ab418d, 0x03301930, 0xce73ef49, 0x2a66cd2f, 0x7f3f2883, 0xec0e6e4a,
+    0xe7c22800, 0x1c693b3e, 0x25da7c84, 0x8a7bec0f, 0x9a1e6cde, 0xc7811cc8, 0x9421ab2b, 0xa41701a8,
+    0xca89b26c, 0x75ba4d4c, 0x239ec846, 0x4deda07e, 0xecc0f44f, 0x38a03e3e, 0xd1a83fd7, 0xcc9665a3,
+    0x56aad980, 0x150d6953, 0xc72553b9, 0xfc983a4d, 0xb27d9a37, 0x35c2998f, 0x04529d35, 0x98f24abc,
+    0xe47b404d, 0xa0cad50e, 0x1c76c7ee, 0xa99e93cf, 0x44a44e75, 0xa748d1fc, 0x83499ae1, 0x46fc49b6,
+    0xee0d73ee, 0x5edda4af, 0x749a8662, 0x4cdd8474, 0x7a0d638b, 0xe7a94582, 0x144aa6c5, 0x99f8ab70,
+    0x21bd7d4c, 0xfff6669a, 0xbd87a998, 0x57147fb4, 0x43f787cf, 0xfb8cf6bd, 0x6c82bd9c, 0x3a17b3ca,
+    0xa1e70fb8, 0x529c1174, 0x412e8374, 0x8408ccb6, 0xb484facf, 0xb62f5f5f, 0x70da2a54, 0x5289ca47,
+    0x48d9ab0f, 0x58575f65, 0x58224492, 0xa5cd5d36, 0x3f0bd3e9, 0x5b211f23, 0xdfaa2b5e, 0xfeb3a6e2,
+    0x905fb74e, 0xaf4bbd51, 0xc866bf62, 0x6e3f0d4d, 0x08029fac, 0xded9959e, 0xcfa23a5a, 0xaa47d9f0,
+    0xffa07b05, 0x884a518f, 0x636742ba, 0x2aad9553, 0xdc70d4cb, 0xabca6ef4, 0x69b6702f, 0x17e859b0,
+    0xe6bb44b9, 0x8a66013f, 0xb18b8690, 0xe1b0685c, 0xfbab9788, 0x296c7857, 0x32cbe7a2, 0x8f1441b5,
+    0x181abb91, 0xae8d803b, 0x90d8f37d, 0x9ce39acb, 0xda9f13e8, 0xdc0da14b, 0xc2fdf818, 0x4ec1c502,
+    0x296419ca, 0x0fcccd3d, 0xcccb4c8e, 0x535d6da6, 0x083089bb, 0xf40da45e, 0xe7231c22, 0x55afcc41,
+    0x9029af82, 0xa8f07ed3, 0x1d7c346b, 0x04cd5318, 0x25dcc7fe, 0x9d91dc0d, 0x056e72ec, 0x4715ad27,
+    0xd5b9dedc, 0x6c71a5dc, 0x5d645ccf, 0x42c42c6d, 0xc1410843, 0x0c915d98, 0x6a74b15e, 0xbb644d31,
+    0x3cd02126, 0x6b53444c, 0x26dcdc7f, 0x15fd3c92, 0x9a91fdd8, 0xc996e46e, 0xbf723dee, 0xa146ed74,
+    0xaad0e989, 0xe136b076, 0x0f8db835, 0x646ada98, 0x4689df5e, 0x821bf765, 0xf33ea00c, 0x3cc6b19f,
+    0xd9ef81e8, 0x411db1a1, 0x463c3e19, 0x1037b2c6, 0xfb9e1cc7, 0x6684a242, 0x2e13a7c2, 0xf8d8aa67,
+    0x4797a859, 0xe29d42a1, 0x0882632e, 0xf244ce3f, 0xfd19acf2, 0x7a96f73b, 0x8f2a60f5, 0x1e8e5ce2,
+    0xe416dbb5, 0x27861c46, 0xdce5cbd9, 0x324c1ed2, 0xd6d5d066, 0x1211c1d3, 0x726834ff, 0x18b309b5,
+    0xce003a09, 0xfe537c61, 0x8ccdbc52, 0xc0db775c, 0xea0e8a59, 0xaffe1eed, 0xef95cb95, 0x4909aa24,
+    0xb841ae35, 0x22d09d1c, 0x1d61b0af, 0x1274c19f, 0xe04ca3e8, 0x40af60f1, 0xb751b42c, 0xdf3520ac,
+    0x142e0467, 0x3069a551, 0x45717499, 0xfca4c99d, 0xfbf51714, 0x5b0cbe91, 0x7f0152c5, 0x671b16f6,
+    0xc7e4f0b0, 0x38ce0233, 0x777b23d4, 0x254ba5d6, 0xbb70c704, 0xab7d5de7, 0xa84efcdb, 0x155a2d19,
+    0x4d00f851, 0x122d6189, 0x512e420a, 0x9d6c2cce, 0x1da9449b, 0xbb3a4308, 0xcd8fcbf6, 0xb3abc237,
+    0x1161a1a3, 0xe19f2239, 0x3e19bfc1, 0x3c6bd8f1, 0x0b3c634c, 0x1c6e183e, 0x16cd808c, 0xc9391117,
+    0xdf70a29a, 0xc11164dc, 0xa514f996, 0xcc869c3e, 0xf8474498, 0x62569ab3, 0x59dee4f8, 0x9118a6df,
+    0xed3cbcf6, 0xf3cd02e7, 0xad6a0da7, 0x9b9568e4, 0x502102ab, 0x4db97629, 0x0652a245, 0xaa2590b3,
+    0x686732ab, 0xca27d25e, 0xe7926ad3, 0x7d890616, 0x74bc806d, 0x42177de8, 0x8f1b32f5, 0xe69a6591,
+    0x476fe3eb, 0x537dfc73, 0x992469f1, 0xce99e941, 0xb751ebca, 0xf3c245f7, 0xdb2f3fb8, 0xf720e3bb,
+    0xd7ac1987, 0xa457dc09, 0xc0f7b1c2, 0x24c2e560, 0x1d899125, 0xd518535a, 0xe61ab64a, 0x428c82a3,
+    0x98e96ed5, 0xb48437f5, 0x07d2bdd1, 0x42d1402c, 0x56332556, 0x975bdda7, 0x2d349b95, 0x78e2f25c,
+    0xf263d25c, 0xab7fbc3a, 0xb2835eb0, 0x9b5eda32, 0x15b01586, 0xf4358224, 0x3e49c9a0, 0x697289c4,
+    0x96f23d5c, 0x0b903d33, 0x16a0ba3a, 0xfceda3c6, 0xb9635167, 0xd69a6365, 0xe922f1a0, 0x43eac937,
+    0x13ccf6e9, 0xaa7012f2, 0xafc0e4db, 0x975d59e8, 0x9cc3c769, 0x127b4fc4, 0x9e30f04c, 0x50706d5f,
+    0xf6b60826, 0xefe805b7, 0x674b662c, 0x175e98e5, 0xf76fd9f2, 0x05ee8a19, 0x34d687bc, 0x71398392,
+    0x85f52f3a, 0xd30be213, 0x4bf0857a, 0xc1ec37e2, 0x02d82b0c, 0x8792a518, 0x7cdd6c7d, 0x0b88bdfd,
+    0x8933cf8e, 0x843f30fd, 0xf92b6781, 0xbf16b2f6, 0xe4227205, 0xfa966267, 0x22e1df54, 0xc67696e9,
+    0x236f90a1, 0xfed6d164, 0xde5d2af3, 0xeff98659, 0xddae5b8f, 0x0b14e76e, 0x1ab2d795, 0x460898d6,
+    0x3633b4a4, 0xfab1a771, 0x26637a58, 0x698dc1b8, 0x742a6720, 0xb459dbff, 0x3a1c3722, 0x3167ffda,
+    0x7797bdb2, 0x4c22f701, 0x1412080e, 0x1108ff56, 0x77f412f8, 0x7b6e77c1, 0x3c1b3222, 0x7da1868b,
+    0x135cc238, 0x59ca3868, 0xdc24fe68, 0x072532ab, 0xdde07c6a, 0x74daf2c8, 0xa4911572, 0xc473edd2,
+    0xbcd1cf7d, 0xa9ea3043, 0xc0963b1b, 0x7d60e170, 0x03c426d6, 0xd503213e, 0x79c02bf1, 0x5db38c37,
+    0x6de3bf4e, 0x135ecdb8, 0x65cbd5f2, 0x051328f9, 0xc1ba9e3e, 0xc8b7002a, 0x87294586, 0xa6bfe2c4,
+    0x0dfa7704, 0x48807261, 0x8fbbbc3c, 0x4cc46889, 0xd8c14cb4, 0xb5c5ff19, 0x0920c384, 0x85fe59d9,
+    0x8e839e21, 0x570afccf, 0x51660798, 0x4676e5da, 0xad6a7fff, 0x77b48cae, 0xcec406b9, 0xf59ffdc4,
+    0xe216613b, 0x37b86c13, 0xb0feeb28, 0x5d710dcc, 0x7487d345, 0xc320b7b9, 0x182239ea, 0x0d5d4ebe,
+    0xf065026d, 0xd0247d5a, 0x510d19e4, 0xc2abe99a, 0xd4286290, 0x83fabc41, 0xa85f288e, 0x5f3b8462,
+    0x17b48125, 0xc9c0ca44, 0xe4da6cca, 0x19898e15, 0x3cc2551b, 0xda41904c, 0xf89eef46, 0xd5cc0bc3,
+    0xebe7fb6a, 0xd87a0b91, 0x5d6581eb, 0xaaa8a02a, 0xa8b92692, 0x2097a60d, 0xb163b047, 0xda6a5c48,
+    0x179abbe0, 0x6492902c, 0xcab62499, 0x8efa8c3e, 0xd115ef66, 0x189ccfc8, 0x656797fa, 0xb191eae3,
+    0x06463ec6, 0x7da81030, 0xdcd64822, 0x47ecf777, 0x5414afc7, 0x9c05db39, 0xe0c802c1, 0x27504f5a,
+    0x9d98ce45, 0x5d76ccd7, 0xc2723a30, 0x739ffb15, 0xd48682c7, 0xb84e9465, 0x42c42a2e, 0x903e48c5,
+    0x7bfe1207, 0x854d934a, 0x63ed88b1, 0xd196af1c, 0xf219951c, 0x2479ea87, 0xf701ec7c, 0xc660b8ee,
+    0x426c072f, 0x82742644, 0x2193ffce, 0x866a9b72, 0x7391e635, 0xde3f031c, 0x0290c579, 0x0ebf150d,
+    0x5f6007b5, 0x21229f66, 0xcfab132a, 0x0f680951, 0x80654cd5, 0x422bdb05, 0xcb21dc1e, 0x2009dc28,
+    0x0d3ebbf8, 0xe4f2583c, 0x1f65aad8, 0xe654ffb6, 0x8558e42f, 0x0f7dd27a, 0x93fda6d5, 0xc03aa80d,
+    0x834fb77f, 0x69d8a528, 0x2f7bb3ed, 0x2b8ddacd, 0x6a309154, 0x33ba4e61, 0xdcb26702, 0xc615a4a7,
+    0xc134cc25, 0x81f81290, 0xb60da5ed, 0xd0ec4857, 0x59e40900, 0x24d0dafe, 0xcb84955b, 0x5f866d53,
+    0xbda82055, 0x8f28897e, 0x00bb145c, 0x733e7476, 0x3e3e32a7, 0x3d17b4ff, 0x304ab3af, 0xaff82f4b,
+    0x5ab5d414, 0x37f18f06, 0xbecc324e, 0xc859fd46, 0x960cf9e4, 0xbf484611, 0x0433fbfe, 0x883d52ee,
+    0x569409bb, 0x188b33b6, 0xa5ff3ef7, 0x1043b3fb, 0xdf6f70a6, 0x2ff0274b, 0xee178744, 0x7eec0593,
+    0x426a06f8, 0xf6efb3ef, 0x53665779, 0xb6b69f39, 0x9df926f6, 0xd54afd1f, 0xd5035a8a, 0x6d5458b8,
+    0xcf544b34, 0xef78f693, 0xb40bb4b6, 0xd19d5f70, 0x7188b7fe, 0x57b94b3d, 0x5ddb8949, 0x580c74b8,
+    0x9b57d200, 0x3223e396, 0xd7920dcf, 0xb4fa674b, 0x61057547, 0x6f1b8362, 0x1ecac5a8, 0xf4e7bd73,
+    0x7d5c50e9, 0x2cba3e70, 0xcc06341a, 0x1f3a5b18, 0xea51e245, 0x6297b9f0, 0xa8e1434b, 0xb2bd422d,
+    0x25af101c, 0x1babc9c7, 0x91b225f2, 0xaf55d435, 0xba9fb29f, 0x7795b106, 0x919c4c73, 0x387c7a0f,
+    0x7c3f51f9, 0x361c1a58, 0x3eb3ce6c, 0x0976a1e0, 0x08b8d583, 0x67c1c345, 0x3fe66122, 0xb21c2ce0,
+    0x26f03bfb, 0xaf9a9e62, 0xbb740ddc, 0x43ec17a6, 0x46e6ea4c, 0x6f5bf1ef, 0xfed5de24, 0x55195e5e,
+    0xc45037db, 0xdb836f84, 0xab594de2, 0x97cf183a, 0xfd09a0f7, 0x5e669708, 0xb16b4630, 0xbe5c2d77,
+    0xc461f24e, 0x9551faf0, 0x57c1ab1e, 0x695b3d05, 0x81d7dd56, 0xb955e86a, 0xd70251eb, 0x228c07bc,
+    0x0d7e5033, 0x0629f08a, 0x09f738e2, 0x94b5cfde, 0xe80a8d67, 0xbbf944a5, 0xeefa3d41, 0x59686ca6,
+    0xc5dabc48, 0x1575164a, 0x5a4078a5, 0x56398450, 0x929d4194, 0xbab30b60, 0x4a667362, 0x5799b170,
+    0x9c846472, 0xa2de91ba, 0xe56e4e26, 0xa964019d, 0x63ccf8f1, 0xbe902303, 0x7dcbc39b, 0xe7853631,
+    0x3dd2f210, 0x80f0774a, 0xa00eab5c, 0xd9eff441, 0xbdfd63b6, 0x2e86f1f4, 0x3a06ed8f, 0xf0b934b1,
+    0x93bdee11, 0x53069d50, 0x5b019bd8, 0xc4b67d24, 0xa1ff2272, 0xa42dc259, 0xf16fa150, 0x05e025a3,
+    0xe425476f, 0x9283cdea, 0x68d59d35, 0x002d41d5, 0x4c002e4e, 0x1a4ff3c4, 0xea35d780, 0xa101b120,
+    0x8d204500, 0xad20f02e, 0x32df25d6, 0x14b6fb93, 0xe71f7d8a, 0x87b30f98, 0x238e60ba, 0x1fa298e7,
+    0x0ac343e4, 0xfa6d5519, 0xfe344b60, 0xe05ccc35, 0x63f4d97f, 0x9126c88f, 0x3f53fa2a, 0x87d5b2cf,
+    0x6a57e862, 0xc4d7e5c2, 0xd816f12c, 0xed92f345, 0xb0f72ee3, 0x67a7269b, 0x4349695e, 0xd77cef4f,
+    0xf6589709, 0xae17765c, 0x7d05b09b, 0x36256c98, 0xe2dbca3e, 0xb938d128, 0x26b9989f, 0x894024e6,
+    0xb5270fe8, 0x4aea1f51, 0xa05ed5dd, 0x9980d79d, 0x0ee9dee7, 0xbbf8d6be, 0x53cd4655, 0xa714efac,
+    0x00000000 }, /* 10**-00000000000000029771314147148058236900303171092665727125150133752547749129838\
+                          55843898524112477893944078543723575564536883288499266264815757728270805630976 */
+  { 0x00000000,
+    0x3fffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9,
+    0x2a6fefa3, 0x0f4c5f33, 0x5e042c45, 0x5c18b83b, 0x682a938a, 0x5e853d79, 0x4236ff53, 0x46b56600,
+    0x00000000,
+    0xe30864a0, 0x79870c38, 0x41fdf314, 0xc967939c, 0x6da11562, 0x91c52ede, 0x379b75c7, 0x4be3f7bd,
+    0x2f8c5539, 0xecfedc8b, 0xc73b8ef8, 0x39388b94, 0x17c6fb5c, 0x5c6e70c4, 0x872212c4, 0xff776c70,
+    0x9ecb1cd8, 0xb39b78b2, 0x5ff95170, 0xa7420cf3, 0x0b6e06ba, 0xa5ecd889, 0xc9753456, 0x75aadb15,
+    0x0e0f4149, 0xbd8474fd, 0x366382d4, 0xa92f5cf0, 0xafb94eea, 0xb8992c59, 0x38b6bbda, 0xa4fdfe1e,
+    0xefc93511, 0x883c9372, 0x0d195893, 0x410b5a71, 0x97755eaf, 0x20c98a39, 0x1951cee1, 0x81fabf1b,
+    0x82e4844d, 0x115c1fcd, 0xb5c55caa, 0x01444e62, 0x6f3c8d02, 0x9c7e6875, 0x91fc19d4, 0x506d6010,
+    0xe28cb2eb, 0x39c88397, 0xf2fc442f, 0x3d40c883, 0x29a4b85b, 0x46bc85c8, 0x909ce483, 0xb659ce5e,
+    0xe9dac748, 0xaefa8f02, 0x15d8f82a, 0x81eac18a, 0x2eb38ed6, 0xf14e7758, 0xe7742c2a, 0xcb1ee9cf,
+    0xd3a9ee13, 0x31c52308, 0x35e131fc, 0x6573d803, 0xfc273f2d, 0xe1fed72f, 0xb8278943, 0xd4d2d05c,
+    0x908a3156, 0x47080845, 0xc5a2ca45, 0x0d167524, 0xa70a717e, 0x6bd4f957, 0xaa2bb2a1, 0xa2e81c1e,
+    0x8d62f02d, 0x7ae1262b, 0xa6fbde69, 0xac439f5b, 0xa2fb3e1a, 0xeb4ce9ca, 0x2a8a9938, 0xea37064c,
+    0x55020806, 0xc0365abe, 0x1635043c, 0xe8140038, 0x4758b2a6, 0x63ee34a3, 0x409d75af, 0xed06d5e8,
+    0x5681c563, 0x01c7aa10, 0x1cab4425, 0x5d4737f1, 0x71879460, 0x41c3c6e7, 0xd5790e35, 0x01cfa8d6,
+    0x937a7b6a, 0xce879963, 0x225e1d4f, 0xd5eb7b08, 0x0f5d754f, 0x41c00f62, 0xfaec8e8e, 0xa0360a2b,
+    0x881fb9c9, 0x50f1298e, 0x40704f9b, 0x7e153c38, 0x452315bd, 0xff1fc891, 0x06ddc479, 0x7f778320,
+    0x92a5e1d9, 0x75246c82, 0x4b93b3ba, 0xbaed7051, 0x8aef8e94, 0x3c639584, 0xf0d7874a, 0xc1a2868f,
+    0x4395cce1, 0xe8047571, 0x536ad853, 0xd807c10c, 0x0563736e, 0xd07772a5, 0xce9e0331, 0x6e4830d8,
+    0xd6ffc126, 0x332aec73, 0x5ada6556, 0x9a794782, 0x2769bf6e, 0x86b48063, 0x78463ca8, 0x89e45c7d,
+    0x21c877a7, 0xe7fa9770, 0x877c8e47, 0xbf3e02c7, 0x28ca9b81, 0x8aabdfe1, 0x6eeea134, 0x205d7707,
+    0x67ffed7e, 0x4a32b554, 0x32eca8b1, 0xa1b386ec, 0xa0585374, 0xe5901f53, 0xa46702eb, 0xf680d025,
+    0x60308d9c, 0x012ffdb4, 0x2540d95e, 0x357f41c9, 0xc94c33a8, 0xfc62c1ac, 0x267fcbd4, 0xcdabafda,
+    0x0d793549, 0xea5912d7, 0x7eb3c32e, 0x3a1174aa, 0x0119324f, 0x1da4edf1, 0x54d1c5da, 0x2d532c67,
+    0x9bccf283, 0x197d417e, 0x446e3ccb, 0x8a168f20, 0xd203fd9d, 0x40362243, 0xb8f5d63e, 0x9242d9f5,
+    0x85afdacc, 0x16d7f9e7, 0xf4d502cb, 0x26ed6a01, 0x155fb6ed, 0x9033d964, 0x5ff5c97c, 0xd95aff59,
+    0xda36090e, 0x6bbaa1b0, 0x83b26c5b, 0x8d221408, 0x9dbc34e1, 0xe129c87f, 0xd4d91e4b, 0x6b283c7e,
+    0x071a7bb4, 0xc4179d72, 0x204d0cde, 0x6b6f75e6, 0x38e37a82, 0xbc25403b, 0x60340033, 0xb6049748,
+    0x867d3875, 0xff8764b8, 0xeb4b430f, 0xa4693a9c, 0xfdac99f5, 0x3b942871, 0x83cdcb80, 0xb1d2e162,
+    0xdfbc70f1, 0x80839d68, 0xdf99a249, 0x7515c056, 0x5cbda99f, 0xbe67b354, 0x5bbe416a, 0xa3bf6f41,
+    0xabad108e, 0x52aa329c, 0x0655d83e, 0x541d6334, 0x3d24a22b, 0x05628119, 0x51711324, 0x5bf1a40b,
+    0xb5c22617, 0xdddef194, 0xb1508d8d, 0x95b8b277, 0xd0301184, 0x0ec66022, 0xbd21b443, 0x146340da,
+    0x5d6b19ee, 0xb0e7dc6c, 0xb13675d1, 0xf49005b2, 0x5312a7ed, 0xb88891bb, 0xb486886d, 0x39541820,
+    0xd5e5b6ed, 0x803e35cc, 0x45cf0aa8, 0xef1d740a, 0xda99d6dc, 0x6fa4b2af, 0x291f961b, 0xc628070c,
+    0x0d75acee, 0xb76dc3d7, 0x0a94d658, 0xca079b00, 0x7661b20c, 0x5a09eebf, 0x82ececef, 0xfc9a4292,
+    0x1c09409d, 0xfefc460d, 0x268716fd, 0xd4f0fe0c, 0x8ef6cc5e, 0xb7a8f1a8, 0xf2730979, 0x69fc40fa,
+    0x6bb33d2d, 0x028abf7a, 0x2756e330, 0xb6c85bf1, 0x0e702dd6, 0xae32984a, 0x01146b36, 0xc25091b7,
+    0x292deebb, 0x3e1c8c66, 0x5f99dfa9, 0x4d40832b, 0x62ead1a1, 0x0285aa99, 0x0280bf39, 0x9f07ce37,
+    0x9991105c, 0x15ad01c9, 0x2facf05e, 0xbb4b6d9f, 0x9d026cbd, 0xc500eae9, 0x700dc39a, 0x44782314,
+    0x82f014ce, 0xbcda7466, 0x9036a18e, 0x0b6e4d39, 0xb4660707, 0xd211a9d3, 0xc487a0c5, 0xcc1709ad,
+    0x18664708, 0x47399ab5, 0x8a6b601c, 0xdc0b0129, 0x7791b1be, 0x1494d3c2, 0x4fda1297, 0x35b9d5b1,
+    0x0e2e1e0d, 0x58eab9a5, 0x1cdd3cc8, 0xac568f95, 0xf6c01911, 0x7435f258, 0xda19ebbe, 0x3b197501,
+    0xdc6de7dd, 0x79236748, 0x042c91fa, 0x435c263f, 0xfef10a3e, 0x686b85b8, 0x1f49f914, 0xf173dd7a,
+    0x5e73563a, 0x9b7e71ce, 0xe617a125, 0x7bd50a18, 0x1dd5e298, 0x81c49792, 0xcd7f2035, 0xf2719c2c,
+    0x59fd218f, 0x2ff042d0, 0x6ee19865, 0x17b64f0b, 0xd30728a8, 0x1ff5a8d5, 0x032116e7, 0x055968bb,
+    0x1e662998, 0x9e2f8399, 0x1d1293e6, 0xd6854b5d, 0x32c2d8bf, 0xcacacd41, 0x3cd30960, 0x79441bdc,
+    0xeb44a6d8, 0xfed2c9d5, 0xdb992c7e, 0x12f00423, 0xf3bb903a, 0x25b0d085, 0xf3913c0d, 0x55fa80d3,
+    0x7eb0ba6d, 0x0a471fcd, 0xe39ea492, 0x7c631d40, 0x251b2f62, 0x79680c32, 0xc1bef835, 0xd03bd829,
+    0x7451e03d, 0xa0ce4c0d, 0xc8176acc, 0xf499f5f2, 0x5532db64, 0x18f4529b, 0x31a17acd, 0xe1d490ad,
+    0xd7bca8e3, 0x1703fd6c, 0xb00ed42b, 0xceb84809, 0x8a14c426, 0x89d8e8fb, 0xd146e484, 0x1f0cbee8,
+    0xbb2d023d, 0xeadef673, 0x7c258722, 0xec2563a4, 0xb43a3722, 0x1a8d6848, 0xab5a9094, 0xda21dcaf,
+    0xd0de8364, 0x61e811f4, 0x98f36eec, 0xbeac92fb, 0x67d902b6, 0x2edcb9b3, 0x3cdb57f0, 0x08db21c6,
+    0x30af8f59, 0x7944db77, 0xa50b2f8f, 0xc5976e5f, 0x3a5c5350, 0xa7a8de45, 0x1befd3af, 0xf9b2482a,
+    0xb0827ea6, 0x1a3ae294, 0x8f19e883, 0xa6739c3a, 0x66bf8314, 0x9843c6d2, 0xd4e5c19b, 0x86d58c43,
+    0x95f17a2b, 0x78fa7346, 0x9faf7770, 0xfa091018, 0x81bac2fe, 0x4049f847, 0x86f5cbf8, 0x45698f58,
+    0x8d96ca61, 0xd0edba29, 0xe7e5ae56, 0x1a6f2e98, 0x71789ab8, 0xce54cab8, 0x1d424d1e, 0x9204be13,
+    0xc4f2d8f6, 0xb19cbf8a, 0x37780cc7, 0x1572b5f3, 0x1d8b8ac6, 0xddeb087d, 0x780799e5, 0x49bd5fbe,
+    0x3e3e1674, 0x5c20f6f9, 0x2aaa6a70, 0x9f23452b, 0x195efd90, 0xf52d05c1, 0xa0d01e56, 0xd0d1077f,
+    0x93c6f868, 0xa00ca85e, 0x0ff6c678, 0x3da9fbb3, 0x6ccce4d5, 0x16718104, 0x3c40d21c, 0xfdd1188b,
+    0xe1c17e6b, 0x42d80382, 0x60cd106b, 0xb9bfbbd1, 0x6821b13b, 0xe2200328, 0xd9e18023, 0xa8930971,
+    0x67b5443f, 0x19db20c5, 0x0603c7ae, 0xe89738d0, 0x69506c94, 0x06acd379, 0x1ad97048, 0xd1ec058d,
+    0xb16a8042, 0xdf5815d3, 0xf3c2927b, 0xe13d2b1f, 0xbc1bf97b, 0xc6274392, 0xaf292838, 0x9c0a5d2d,
+    0xa5e76f96, 0x242173cc, 0x56f3b445, 0x9b78ba22, 0x56db48a1, 0x10b3648e, 0xbdf29063, 0x70a649b1,
+    0x75e13d11, 0x8bad93e6, 0x210762fd, 0x20759fcd, 0x0ef1582a, 0x142d5779, 0x859a4bc1, 0xb603103f,
+    0xd14659fe, 0x94996740, 0x8f4dbe6c, 0x3880c79a, 0x6e32ee8f, 0x0cd73d67, 0x94a0eb7e, 0xc43088da,
+    0xece99247, 0x960679a6, 0x694ef1b1, 0xd79a437d, 0x29e69bd3, 0xc3364a59, 0xa5bf9137, 0xecc444d5,
+    0x20295709, 0xdde6e83e, 0xc2490a99, 0x09cc3489, 0xd4d593ff, 0xf99e891d, 0xec8f61dd, 0x5854855c,
+    0x083a20c1, 0x6c9b7c0c, 0x6e4eaac1, 0x8c1211bb, 0xf1a5b12b, 0x5b705b57, 0xd569d80d, 0x025498cb,
+    0xa443ea25, 0x42820438, 0x0e72c7e3, 0xc64461d5, 0xcdd2e15f, 0x06bf71c8, 0xb684b0be, 0xa3c1e31e,
+    0x9d6a99df, 0xaba4e323, 0x2f4b10a1, 0xfaeed690, 0xccb96b47, 0x553c85f4, 0x000d4816, 0xf40ca791,
+    0x9cab4c26, 0x9b703469, 0x67753e6a, 0x7a0e9948, 0x79d4f159, 0x110cc10a, 0xd138909c, 0x04ae5b64,
+    0x756d78f0, 0xe1a36eb2, 0xb732b6a3, 0xf3dd5b19, 0xe97edc5d, 0xda7869f3, 0xe9fa346f, 0x79acffea,
+    0x7554b1ed, 0x044948ff, 0x1569e036, 0x9bdada99, 0x7be1915a, 0xa94155b1, 0x937a4eb0, 0x70ce7b96,
+    0xa87ab9e6, 0xd3ffaf75, 0x0c6d2974, 0x52c84c77, 0x602225f2, 0xf5648a79, 0x6ddc8a8d, 0xbf0576cb,
+    0x48b8b740, 0xc93a133c, 0x81d8e971, 0x82b016cb, 0x9689c2e2, 0x68e6b049, 0x6a53e51c, 0xc29b95c3,
+    0xea280e7c, 0x7146988b, 0xcf18e6e5, 0x7b35c738, 0x5e0dc038, 0x274b921d, 0xa2dcadf8, 0xf21497fb,
+    0x32cbaec6, 0x7d6b8d97, 0xebe3c426, 0xcaa57c1d, 0x7df885de, 0xde5c2efd, 0x6f76d647, 0x76fab8a1,
+    0xa7e9c7e1, 0xd9f3f42c, 0xd6d12c42, 0xbaeb7518, 0xe1a26e6b, 0xbb20056e, 0xdacc6bb5, 0x3f799211,
+    0x72d88020, 0xa79d07a7, 0x2513d7f0, 0x51d08777, 0xd6ce96fa, 0xb92cefa4, 0xd33e7a40, 0x0608df99,
+    0x971377c5, 0x8367f593, 0x538612d3, 0x881c92d8, 0x9baafeb2, 0x92138e1b, 0xa3fe41dd, 0x4f62b882,
+    0x355f06b4, 0x3b61c080, 0x32f9acb4, 0x60e33851, 0x6ce388d2, 0xb472a2c3, 0x155ff8ce, 0xaad7eed4,
+    0x3a5b7a98, 0xe358e860, 0xca7c072f, 0x617e514e, 0x6ae3b916, 0x70add3f0, 0x903a53f6, 0xb70260a3,
+    0x47ab69df, 0xa3df80f2, 0xe48dd75a, 0x71a58d6e, 0x0b09529b, 0x5bd3455f, 0x4f0e04e5, 0x5c36cc1f,
+    0xe52ddabf, 0x131b25a7, 0xdae045ee, 0xd6cb38a7, 0x643b0fdc, 0x95727b5a, 0x4fcb7df4, 0x3d8e78c4,
+    0x2e5bbc3e, 0x80ffbbf4, 0x8bc1ab10, 0xa5655d2c, 0x45965e77, 0x39fc6dfe, 0x37b48d1e, 0xdb0e5b60,
+    0x22f4a7d7, 0x6c2cb269, 0x5f630fe6, 0x96e5b847, 0x7e1f1626, 0x7181364a, 0x06a07ff9, 0xd1c32e68,
+    0x6c8bffe6, 0xe3867b85, 0xf6b8d06e, 0x5aa8551f, 0xea396acc, 0x18702672, 0x5db27645, 0xac4e37cf,
+    0x37b8d42e, 0x9f2d7117, 0xb2fef517, 0xb3d84944, 0xa8ad1c7d, 0xc4b88586, 0x4f62a612, 0x56d89953,
+    0x629bb7f5, 0xd8165944, 0x6e7dce6e, 0x42d67c07, 0xdec32837, 0x9876e697, 0x4a0ef395, 0x6180c743,
+    0x8701d26e, 0xcdeaabd3, 0x43e9b44d, 0x7b25d6e6, 0x8528d584, 0x41d4d42c, 0x19c0c1b0, 0x3cd336e1,
+    0x4c50a5e2, 0xdadc7663, 0x63e0184f, 0x7efce846, 0x0134ee48, 0x0b19fe14, 0x6eb2129d, 0x051db39d,
+    0xfbf272ef, 0xe5001c43, 0x7fc5d6be, 0x1c5f4ad1, 0x9a44ce20, 0x3864ad3b, 0xa1aace43, 0x2ae73b41,
+    0xfe8c29c8, 0xd9e311e5, 0x235d84c3, 0x413edcf0, 0x232f65bf, 0xdd4b3306, 0xd203c8f2, 0x8d94bfe5,
+    0xf1af6b11, 0x9d27e495, 0xff307c6e, 0x1a83c7bc, 0xf1b24b86, 0x50c54816, 0xb7ce6c56, 0x4dd6a057,
+    0xc54699b6, 0x100a6716, 0xdb3754e0, 0x80dedecf, 0x8b31bf94, 0x92de1bf2, 0x2cefec69, 0x0e97b713,
+    0x8077a8be, 0x94643e16, 0x70e5788f, 0x5f33a769, 0xeebeb3d8, 0xe4576b98, 0xb2d03ac7, 0x9d775d77,
+    0xaa08c993, 0xfafbc074, 0x84297c6c, 0xe8aa9fbb, 0x71f00e9d, 0x9067c66d, 0xe749fdff, 0x5e385839,
+    0x50e7b79b, 0x06920a62, 0x98dd98fa, 0x9f66f0d4, 0xfb4e7a31, 0x8d4fe807, 0x2fde5e90, 0xb24c6b35,
+    0x8864b686, 0x598a5bf6, 0xbfc04431, 0x180b2b62, 0x499fd5ec, 0xc398aeb1, 0xcb36bca1, 0x622104e1,
+    0x79ee5c2b, 0x571e8477, 0x55b884f2, 0xbbd9c889, 0x8e92d621, 0xa52e3505, 0x7cb83d7c, 0xa5efa474,
+    0x968122ae, 0x98723e0a, 0xa187295b, 0xc7146741, 0xd5166283, 0xbce87032, 0x05ac1dca, 0x18f38ef3,
+    0x2c1d443e, 0xafff5f7a, 0xb2a93b6f, 0xdc63c1f9, 0x9e130836, 0x105e96bc, 0xd9920dce, 0x20720f4d,
+    0x8d154b51, 0x001ba53e, 0x1197d6e2, 0x498a8a82, 0x276e5e37, 0xf7bcf489, 0xdd26d18c, 0x6e5e339e,
+    0x69b1d7d4, 0x892be95b, 0x44d3f8c7, 0xac550d50, 0x1b50ad07, 0xf2e080b8, 0x094f6bb4, 0xc130d5be,
+    0xb80a2520, 0x59b7f4d6, 0xcab063b5, 0x90c8a4b5, 0x5b9e5006, 0xe6bf8565, 0xc100d11c, 0x0f094dd1,
+    0xdd9bf9bc, 0x9ab960ba, 0x5165af1b, 0x7ce70cb7, 0x421403fc, 0x946c0533, 0x68c3ff1c, 0x59feb660,
+    0x4f8ee228, 0xa450824d, 0x16e04477, 0x97c6b582, 0xc058eb5b, 0x7910a6ce, 0x140e1031, 0xcfe96f54,
+    0xb777e5f8, 0x1b2a2a13, 0x241c6379, 0xb8efff81, 0x85bbddc2, 0x483835f0, 0xf8a6b7f1, 0xbbd8e834,
+    0xe2961128, 0x4dd54628, 0x4a5197e2, 0x5e28a4e3, 0x30cf8e3a, 0x6b425841, 0x11353536, 0x5c1ce6c5,
+    0x1c0a251f, 0x57f12d3e, 0x8492ccc8, 0x8fe74e87, 0xaae99984, 0x7f34f023, 0x0b4001ad, 0x9504de64,
+    0xec711b3a, 0xb87d2b3f, 0x243043ad, 0xda3c64e3, 0x845a3d82, 0x4451dd43, 0x125a3d3e, 0xb64c45fb,
+    0x0c4d4001, 0xc4f1e9fe, 0x38b9e179, 0x343c3cbb, 0x4a27da64, 0x9c28a787, 0x6b9b1944, 0x7f0edba0,
+    0xc306e3cb, 0x83a45e4c, 0xc39e4294, 0x9487b7f7, 0x3b8de882, 0xc6ad7847, 0xf9c663c4, 0x19503f6b,
+    0x1b59b823, 0xf9543f04, 0x4abb9ea7, 0x71174e51, 0x203876ec, 0x6c8d624c, 0x3e8bb169, 0x6deb089f,
+    0xf824cb7e, 0xfa105d5b, 0x58a8f6fb, 0x5e58ce54, 0x6eda7ff2, 0x753b458f, 0x4f50abaa, 0xb1b39eb4,
+    0x14b33ec5, 0x40122083, 0x66de0689, 0x9996dbb9, 0xf664394e, 0x69e017b6, 0xf3a2ee18, 0x635f855f,
+    0xeb1b524c, 0xe1827108, 0xd11280eb, 0x0352bff3, 0xb01020df, 0xc3e60a26, 0x09d0d3d4, 0xfa836f27,
+    0xdd0691b1, 0xa083af80, 0x436914b5, 0x58a71642, 0x30c02e30, 0xde99a578, 0x793d1b5b, 0xce01c647,
+    0x2d2bfa1f, 0x5ff17142, 0x8b5a03d8, 0xfa886b04, 0x7d5d51dc, 0x4d66b02e, 0x96b1fab4, 0xcf4e1176,
+    0xa1615217, 0xe7800cc9, 0xc569d131, 0x0c5b577e, 0x8cb20151, 0x7c22411f, 0x21ab9067, 0x1852834e,
+    0xbd55ab9a, 0xd2940334, 0x5de48e89, 0xbdadeb5d, 0x0ffed136, 0xe54ac4a2, 0x61fc27a1, 0x733c6f79,
+    0x9fc1953d, 0xa50fc20c, 0xcf06caf4, 0xf5ad5f1a, 0x610039b9, 0x044d329a, 0xbfd68ccf, 0x115c93f1,
+    0x9ce4adb2, 0x45afb875, 0xd90c37c6, 0x5df16123, 0x89522eae, 0xdae13757, 0xac2a478d, 0x4e7cb872,
+    0x7311d76a, 0x0e88fca5, 0x89d9b1ed, 0x879ce926, 0xfef9ed94, 0x9fd36f00, 0xe0179ef5, 0x1cfb8a64,
+    0xd55471ff, 0xf219a141, 0xe93d85be, 0xdacfaef9, 0x2840de24, 0xa64352bf, 0xa07aa6c1, 0xf7eaa913,
+    0x64f6153e, 0x4a520810, 0x6f5ec99a, 0xfce5d150, 0x233312b0, 0x4d5aa624, 0x474fe995, 0xe0ca6bc2,
+    0x3d20bd31, 0x1c0de4b8, 0x94130d8e, 0xddad89f6, 0x3d72333a, 0x5cc7e51a, 0xb739a857, 0xa22fc896,
+    0xc624f31f, 0x596c5d06, 0x3b7082ca, 0x9df64724, 0x9c0e6c82, 0x75f47151, 0x59063236, 0x42d1fdb5,
+    0x00000000 }, /* 10**-00000000000000014885657073574029118450151585546332863562575066876273874564919\
+                          27921949262056238946972039271861787782268441644249633132407878864135402815488 */
+  { 0x00000000,
+    0x3fffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4,
+    0x9537f7d1, 0x87a62f99, 0xaf021622, 0xae0c5c1d, 0xb41549c5, 0x2f429ebc, 0xa11b7fa9, 0xa35ab2ff,
+    0x00000000,
+    0xf114eb3e, 0x12f0a1e2, 0x4194469f, 0x57bea321, 0x98f72fb4, 0x2e99250f, 0x54bbebd9, 0x04f799f9,
+    0xcaa93fe7, 0xdd730dd9, 0x5e4cafc4, 0x2e755f32, 0xc2f9cd85, 0x8e070c08, 0xcf69ae80, 0x33bae892,
+    0xc2679ecc, 0x548ee352, 0xfef6f735, 0xcb0c4251, 0x083c9232, 0x2a79950c, 0xc909c1f7, 0xffad0a1d,
+    0x3870ee21, 0x96c900ac, 0xc5eb1f82, 0xb4c87f9b, 0x35dc0351, 0xbc34faf8, 0x0b699389, 0xd9dfe8bf,
+    0xd186b036, 0x3977a0f9, 0xf645747a, 0xc0357b50, 0xd8ee9647, 0x8ed47a0c, 0x2f0a60bb, 0x9a3a28d2,
+    0x30444bf0, 0x218c3136, 0x09ec99cc, 0x18a6a582, 0xc3156e29, 0x99ac2053, 0xd1eb4a37, 0x1ed7429d,
+    0x26e6c083, 0x0b6ea633, 0x9d1682c4, 0x3c623038, 0x1c51dc61, 0x086b2f00, 0x35166b05, 0x2573eb99,
+    0xc314a5dc, 0xb75a790f, 0x32baa7f0, 0x56ee1574, 0x29adc621, 0x47e70ea7, 0x56a8ae05, 0xbbf3fb5a,
+    0x2c1c974d, 0xf72af4c0, 0x3ef79705, 0x122cdb1e, 0x6c91290c, 0x78f30294, 0x1e1a295b, 0x9e9c3be1,
+    0x0265138f, 0xe2185eb4, 0x3594776c, 0xa526a3e8, 0xbbeaba2f, 0xccbaafdc, 0xa854b968, 0x4deda418,
+    0x13ec607d, 0xfd965bad, 0xb433e359, 0xc0d48e65, 0x8458c59a, 0x3ba6d59a, 0x3981a6e4, 0xab7162ba,
+    0xc55f6004, 0x3c796ded, 0x47a8fadc, 0x651fe0b9, 0xb55485df, 0x7a767441, 0xf8c3afbf, 0x38786de0,
+    0xdc59688f, 0xbe790678, 0xb9712f8c, 0x2f340782, 0x0b41f9e4, 0x08bf6392, 0x4a6112c8, 0x9cc9ca7d,
+    0xd2a0b929, 0xa8d4f5a5, 0x73fd1b04, 0x0edb7a11, 0x55df94a5, 0xe743faa2, 0xb0dfbfe8, 0x2edd8052,
+    0x89790b96, 0xb4e01ba0, 0x1f6bf4c2, 0x548366b2, 0x051d29f4, 0x77f5286a, 0xd625a531, 0xe87d88e6,
+    0x1f2fe0e4, 0xf2e671ae, 0x0e3004f6, 0xf03296ca, 0xedb5e816, 0x0abe7e89, 0x08b3066c, 0x61722311,
+    0x0d15980e, 0x32989d59, 0x004aac52, 0x5b98fa2c, 0x1c1a392b, 0x09bee6df, 0x1489eb50, 0x8b2d94c3,
+    0x9af97d66, 0xeb0abd75, 0x180cc8a1, 0x78c5a40a, 0x8e7b110b, 0x5908b7d4, 0x4fe8342a, 0x8129369c,
+    0xdcaf9d67, 0x542b41de, 0x01e0e123, 0x5358353c, 0x99b9b304, 0xacdfb5e1, 0xba3d6aa0, 0xcc4b3e32,
+    0x87061eec, 0xfb14fc9c, 0xf1f40665, 0x8de5f939, 0x626c53f5, 0x95498d61, 0x78a3af51, 0x5248976d,
+    0x832fdff1, 0x7b44915e, 0xce020707, 0x50ced72e, 0xa97e3faf, 0xe7f0ed37, 0x8fd198cd, 0x0ca45246,
+    0xe367bd34, 0x5fad5ae1, 0x84e9dc35, 0xda46bdf9, 0x9495b798, 0xdc57d856, 0x24300cfd, 0x523ee2e9,
+    0x362bd22a, 0xee02916f, 0x073793f5, 0xe5b20605, 0xdb02f4c4, 0xa007fe0a, 0x13fd3e48, 0x944ec134,
+    0x8a216c1c, 0xb8b690d5, 0xcb7820ff, 0xe8fae0b2, 0x18bb82b4, 0x2a0332c2, 0x27e9fa76, 0x0d592c2a,
+    0x653ca5b0, 0x88c75de3, 0x17c3c42a, 0xcfc49eb3, 0xd447bc68, 0x594f4c65, 0x2eb41653, 0xca2e31d0,
+    0xb85be98f, 0x6f23998e, 0xaebe0b17, 0xee1e6a89, 0xf3b567be, 0xf530bf67, 0x862e4c78, 0x45164cae,
+    0x335badb0, 0x73820171, 0x091d4b86, 0x6b0f42b0, 0x3d21636f, 0xa7b19150, 0xb0335ed8, 0xf33e744c,
+    0xd79800b8, 0x83ea3f44, 0x979956cf, 0x3dc2ca93, 0xd826ccad, 0xecf626c1, 0x2f08010c, 0x081499d1,
+    0xe45c7e57, 0x9b03e785, 0xbca0dea4, 0xb70c394c, 0x2700c403, 0x85f2b734, 0xbc3cf53c, 0xaa08be9f,
+    0x7b89a3d1, 0xcda3653f, 0xd34e28af, 0xbd91076d, 0x00b99dec, 0x770ac0a9, 0x44da25dc, 0xccacd5f2,
+    0xfaf47c1e, 0xbc217192, 0x889ae96c, 0xa634c0df, 0x02821e6f, 0x7cf4a660, 0xcf5f41fd, 0x8e955116,
+    0xea739d4b, 0x6fd471a2, 0xf0537be9, 0x85ccaa23, 0x73500c34, 0x63578934, 0xb216e4d9, 0x55dcda16,
+    0xc8ba00aa, 0x512ef78e, 0xb34892a1, 0x92103c28, 0x8f765cc3, 0xb508f137, 0xc74d1d61, 0x22286a64,
+    0x67361578, 0xbe4b068f, 0xbce4c29d, 0xc4313f38, 0xb24b1993, 0x3923cb50, 0x2aac1d77, 0x2410c6b6,
+    0x93a764a0, 0x8e90d2da, 0xb4070b15, 0x1c456c9d, 0x34d94a38, 0x72e281f5, 0xc41265c2, 0x0b4d114e,
+    0x600136ee, 0xe346d9e7, 0x953593c7, 0xa6434846, 0x2f3a9321, 0x1fae6a98, 0x5c6e65ce, 0x7f7ef0cd,
+    0xf3586d81, 0xe3086cbe, 0x69b02694, 0xb8708268, 0x247af682, 0x73c686ca, 0xee8a93ce, 0x1cee8909,
+    0x38e394a0, 0x880cf4d8, 0x811fb1f9, 0x0bd5d9e0, 0x25328fbd, 0x2e2d1817, 0x39e0d739, 0x2a0b2a56,
+    0x4399d3fe, 0x0877ff3d, 0x0963f0f8, 0xaaff7f1e, 0x4a8fa733, 0xe4ada690, 0x66acd066, 0xb48bf9a5,
+    0x0e68d4c5, 0x994ef76e, 0x27eb1a28, 0x5ac2473a, 0x8f7b0e28, 0x1da3e46e, 0xdaf79659, 0x6091c0bc,
+    0xf4699ac3, 0x55ddfe22, 0x123d85f2, 0xce2b10d5, 0x959036e7, 0x3bdbedf0, 0xfe34e312, 0x88b1c8d0,
+    0xd8b4049d, 0xd4bebe81, 0x379c8110, 0xc63d19cc, 0xe9834200, 0xcd709688, 0x17976896, 0x020bd44d,
+    0x2b82fe5d, 0x148376d5, 0xeaaf7485, 0xa187c0b9, 0xdb24c0a7, 0x88415dbb, 0xacf4cae5, 0xd062cac9,
+    0x95b50c1a, 0x32293af0, 0xf04a175b, 0xe99a5a14, 0xb0f9b694, 0x65be4b84, 0x985d9c81, 0x46cfd857,
+    0x83f78720, 0x2262b1c5, 0x8556098e, 0x6d4d259a, 0x2cb437f3, 0x7ad8bfb8, 0x67809cad, 0x2898579e,
+    0x4a148721, 0x1381137e, 0xe0769f89, 0x19eea63c, 0xabc16e58, 0xc3daeee2, 0xe9ccf876, 0x3ebd5981,
+    0xdd93ab2e, 0xfd2a027b, 0x39857f8a, 0x1890201d, 0x2270ddf2, 0x9942d166, 0x7fa9085c, 0x39106779,
+    0xd18e1a4e, 0xc77f1a08, 0x5c96d50e, 0x04e46a6c, 0x2a00c06f, 0xce028d84, 0xd88e4f5c, 0x6dd93731,
+    0xcb3fa179, 0x124f9955, 0xa5c3e467, 0xc6f012ff, 0xab565237, 0xdc23e497, 0x687cdc72, 0x0970ce64,
+    0xe7f0b7ba, 0x673e2deb, 0x3a290daf, 0x3c9dea9e, 0x48051a83, 0xd8425748, 0x87272325, 0xf2530287,
+    0x83aa7e1a, 0x31d115fc, 0xc96a447c, 0x4292e993, 0x7527a0fc, 0xd91f9151, 0x4c99ea38, 0x30f4db1a,
+    0x6b98c728, 0x4ee3b07c, 0x6f9c7904, 0x9ebe8b7e, 0x8f55fd7d, 0xabc389ae, 0xedf4891f, 0x0a89dcc5,
+    0x08e053ac, 0xa3fc28bc, 0xdd7357ea, 0x7c6b671b, 0x629e62d5, 0xf032745f, 0xc626f60f, 0x01f38a41,
+    0x8478d80b, 0xb80ab219, 0xf2de27b8, 0xab5583de, 0xc037ab36, 0xf2f5d776, 0x57628113, 0xa81e7758,
+    0x1af642b2, 0x73873ee9, 0x57b24c89, 0x3c38d0f6, 0xcdcdaeaf, 0x2cfcea90, 0x49293a07, 0xeff0ee5d,
+    0xf21aa03d, 0x0fea1f72, 0x5d36dbda, 0x786f94d1, 0x61321b50, 0x1aef8cc3, 0x7b9f899f, 0x7ec6c3ab,
+    0xce30383b, 0xba2e2889, 0xdaaf15e9, 0xc48d6203, 0x1f0bb900, 0x48759475, 0xd0c671c2, 0x1c8d5ead,
+    0x31a6a8b7, 0x6afbd2f4, 0x881dcd78, 0xb3081bf9, 0x2860cc59, 0x18388abd, 0x2cf5a6af, 0x5797884a,
+    0xcf9d9547, 0x94e9837e, 0xc4e59de9, 0x509b47fe, 0xe6000a1d, 0xc4006543, 0x952d21e2, 0x83e907d3,
+    0xda5ccd6d, 0xf2e826eb, 0x2a9b2eff, 0xace5c4f4, 0xbfb0f085, 0xf6c82061, 0xbd017818, 0x7a386619,
+    0x3263477f, 0xb7d221e4, 0xd2c526b7, 0xbfa7f58b, 0x7193087a, 0xd0d27db0, 0xf7a47295, 0xdfa3e3f1,
+    0xfd04411f, 0x3c489195, 0x1dc40291, 0x2e63adc0, 0xfab9ffff, 0xb7e2003a, 0xade9a5cc, 0x63e1ace6,
+    0x5d6c336b, 0xbd8ede62, 0xc65016e2, 0x60dc1ff2, 0xbc9f66b4, 0xfc131e35, 0x0ffc8752, 0x282aa5cb,
+    0x3d1c1d15, 0x449d520a, 0x3fb1b612, 0x1a8bfc8d, 0xd6814678, 0xdca817d8, 0x3afefca8, 0xc4b1af04,
+    0xf17982ad, 0xb4e12f55, 0x66309ca6, 0xe2cde735, 0xb2a449ae, 0xf1305e93, 0x2c84eaa9, 0x725c71cc,
+    0xf9cdc240, 0xb46b6272, 0x0a43af49, 0x9fd48e91, 0xa4cdfbfd, 0x4c06f1e6, 0x8502b450, 0x3437d7a5,
+    0xa86907d4, 0xe02e5210, 0xf2b2d055, 0x374d2c72, 0x6bc65b19, 0xe79134c7, 0x1419c420, 0xe26d418a,
+    0xd6268f48, 0x8e44a9f4, 0x1969d87f, 0xec973daf, 0x09d5cc41, 0x202b581d, 0x1586210c, 0xb2d587de,
+    0xe1bd9378, 0xb8022c32, 0x98e0d4d8, 0x6a7b5c6a, 0x20b84474, 0xc6212622, 0xd517fd75, 0xfb611bb8,
+    0xf05e9296, 0xc7b15595, 0xa0d230da, 0xed9e8314, 0x3e68809f, 0xb017f813, 0x527ac243, 0x32c2488e,
+    0x59b7016e, 0x41e733e3, 0x763d54cf, 0x9ce8eb3d, 0xc2aa7f2d, 0xde8926f3, 0x47d39451, 0x3b17b3b1,
+    0x2f1d5360, 0x046cc7f0, 0xcb2eadaf, 0xdb5be7c9, 0xb04d9bd4, 0x960b4f07, 0xe977507d, 0xe967d83f,
+    0x39a23ecb, 0x42fe6e55, 0x7698ecfb, 0x6eb11d77, 0xb4560549, 0x689ffc6a, 0xe48811dd, 0x43b5f743,
+    0x23e1c9e4, 0x27abe678, 0x39c7828f, 0x27bb48e8, 0xb6883ee7, 0xc7c04b55, 0x6966ad23, 0x3b0d1e62,
+    0xd9534466, 0x71b5f917, 0x2942544c, 0xe7d9c2cb, 0x5fee4837, 0xbad23e0a, 0x55438400, 0x256a3f3c,
+    0xbd47eede, 0x728b3d11, 0xa46d0816, 0x0411ba1e, 0x89c34123, 0xe6943980, 0x817483ab, 0xb22e5305,
+    0xe2bdba33, 0x44c27fcc, 0x72f3f7d7, 0xaeb3d4ad, 0xd24b37e0, 0xf04bd356, 0x58d4ba02, 0xb958724d,
+    0xf8d98b62, 0x9080bba9, 0x29038743, 0x1045a789, 0xdfe22f76, 0xf55636b4, 0x6554a1ca, 0xcac566b2,
+    0x78e7606d, 0x44dc92e4, 0x79d74a8d, 0xfc2b5365, 0x16bf4939, 0xd0d18e2f, 0x03c92120, 0x56dd0f28,
+    0x51ebff39, 0x46e6906e, 0xbb0dbc49, 0x2d838f00, 0x45bdec4c, 0x578d39e0, 0x8c15ee1a, 0xb5a2d5d0,
+    0x22f02e7e, 0xc7c9d40c, 0x7a0d3aa9, 0x33b3467b, 0xd25efdd4, 0x6ca76d98, 0x11fbf5e2, 0xcd914ca8,
+    0xa23d3dda, 0x477fc060, 0xaa0ff7bb, 0x6d05423c, 0xd0130e1e, 0x48395be1, 0xdb859334, 0x05c081ae,
+    0x1b4fbe70, 0x490b9cfb, 0x0c5458d1, 0x3d2412ce, 0xdb118583, 0x7d6e5100, 0xa4b05cba, 0x1b44f3d0,
+    0xf87a4cc3, 0xb037658c, 0x2bd52ed6, 0x078d8910, 0x0bfb115a, 0x74124429, 0x0f55b969, 0x2fe426df,
+    0xdf90359a, 0x9b0b7cb3, 0x52d7448c, 0xfe975295, 0x1a06add8, 0x3628e280, 0xd4c87993, 0x974cfd09,
+    0x01dbbfef, 0xd9f050e1, 0x07e95d91, 0x5a426f10, 0x046bf039, 0x886c4931, 0x1d918004, 0x93dcb497,
+    0xf883bced, 0x90163e09, 0x75cea89e, 0x5a22063e, 0x6a2c0c5b, 0x2deba30f, 0x0849b1f4, 0x4a567f14,
+    0xedcbf0df, 0xe4c9b9cb, 0xa4323cf2, 0x2a11f8dc, 0xf42b7e45, 0x5641b275, 0xf3843512, 0x445a973c,
+    0xcafc79d1, 0x4088630a, 0x16a8a434, 0x359936bc, 0xfddfe81b, 0x48ae6956, 0x146085f3, 0xa7be832f,
+    0xa016b97a, 0x74f0f25e, 0x9b8740a6, 0x6316dcb3, 0x1001ef97, 0x78feb3f6, 0x7832d86a, 0xc2f9762e,
+    0x523e0c40, 0xbc9ef8c6, 0x8d5e5d33, 0x19201cba, 0xba772be6, 0x9b1b6f0e, 0xf507cd2b, 0x91068198,
+    0x3413ea15, 0x0ffd1784, 0x052c5c15, 0x46a1597a, 0x390bb26a, 0xd9598e7a, 0x204b4a4d, 0x7f96b070,
+    0xf1090d8a, 0xedb4ee12, 0xe4076313, 0xa84da58e, 0x67e8f309, 0x5ef90b21, 0x59f956d6, 0x34d325b8,
+    0x6a1087f7, 0x5fee32fa, 0x109b816d, 0xa54b6524, 0x82b59463, 0xf0658d33, 0x8029f67e, 0xdb05cd92,
+    0xa33e8e95, 0x4c641565, 0x35a2e7a5, 0x953a8b6c, 0x59d98640, 0xdb5391f0, 0xebad7c89, 0x341e2495,
+    0x4444082b, 0xc98aa11b, 0x906d537c, 0x7888e2a9, 0xbcbb4101, 0xa2d30f37, 0x72e61023, 0x509a4e64,
+    0xfc9e72d7, 0x4a4ff450, 0xa5fe52f7, 0x0476215f, 0x18a4ef80, 0x65e58456, 0x547601bd, 0x9fd7c46e,
+    0x5e8c839c, 0xb91ad0be, 0xf3cf48e0, 0xf2eb6625, 0x03960e93, 0xfcbcf651, 0x6b36077b, 0x909c6321,
+    0x7b64b971, 0x394c5c67, 0x746f7ec0, 0x9763adad, 0x874a1513, 0xf2d3c40f, 0x9630811d, 0xfa127b5b,
+    0x4c48dc8a, 0xf285cb7e, 0x1db74742, 0x758b58bf, 0x1b58a356, 0x2b7c9b8c, 0x3cd23aa4, 0x2ff2d262,
+    0xd3eb041e, 0x36043579, 0xd94f1eec, 0x43568b8f, 0x32c4222e, 0xad5f9827, 0x7c9571c0, 0x18cacc72,
+    0x10045743, 0xcea20ca6, 0x230f17f4, 0x6f585185, 0x958964ab, 0xec48dead, 0x9b58dcef, 0x780b7159,
+    0x220a43f1, 0x57ae6517, 0xed21ecb8, 0x8a385e8b, 0xa2bb3a26, 0x898900dd, 0xe6b9d88c, 0x1eb36c92,
+    0x38599076, 0x9c619dfb, 0x98f5e3a8, 0x779416f5, 0x5840a22b, 0xd55f2ff6, 0xac9ccfcb, 0x4d247ad1,
+    0x101ba02f, 0x5e27f2dd, 0x38bdbf0d, 0x00d97be6, 0x2d93fa00, 0x3da1c4dd, 0x3af6d797, 0xb38efe91,
+    0x8e4adc77, 0x25865d1f, 0xdd4fa4a9, 0xe4dea1dd, 0xe6e7ffc2, 0x83e08ee4, 0xb7b45807, 0x04cb32dd,
+    0x51e0d7fc, 0xb3fae6d7, 0x7a2a27aa, 0x840dcc02, 0xea0264db, 0x33f9fc4f, 0x99efb307, 0x916ab790,
+    0xc51e7978, 0xed430a87, 0xac404137, 0x85e721d5, 0xcabcd5cc, 0x96acb4bd, 0x50139042, 0x85484cc0,
+    0xe5d2a961, 0x3f78d47e, 0x859766a9, 0x2c14d634, 0xa15c1375, 0xf8a8f00d, 0x3afe8c99, 0xf5dc77f6,
+    0xa5321e76, 0x52dc1df4, 0xc8a6494b, 0xad98381d, 0x60d493c9, 0xc925a877, 0x8aa2c3b8, 0x210461c8,
+    0x56ac448f, 0xf31dd87f, 0x8a1f2008, 0xbafa22b6, 0x85816114, 0x9e17ceb3, 0xf1bf148c, 0x0a0423ff,
+    0xdcedbe53, 0xea100242, 0xc0df2c6e, 0x27e85d15, 0x69b976ba, 0x5c0580d6, 0xf4fae299, 0x42eec0f2,
+    0x4c1aefd2, 0xa224d67a, 0x32fb705d, 0xb919247e, 0xae6c28ba, 0xc9127256, 0x6ed50aba, 0xda46c5ea,
+    0xf5b3d43d, 0xf9e653a1, 0x9ddd54f1, 0x87af5781, 0x0b83d843, 0x508853ce, 0x15435d39, 0xfabafdf7,
+    0xeb28a318, 0xbc2f57a4, 0x0d8edd75, 0xb02372e6, 0x2f6273af, 0x3b7799ec, 0xdd5b2fdc, 0x004f4fe7,
+    0xcb571ee1, 0xf6c92d12, 0xddc092b3, 0x0817724c, 0x5970e507, 0x94d8360f, 0x3a302b99, 0x927f302d,
+    0x53112436, 0x5d4af60f, 0xa9fcc1ab, 0x637320d6, 0x52b04783, 0x58efe3e4, 0xdccd83b4, 0x1e65bd55,
+    0x9276e1f2, 0x0fb9d0c9, 0x82c4a609, 0x3bc1a8ee, 0xfc58031d, 0x5cb375d7, 0x3100e92c, 0xc8ef3d6c,
+    0x116901e0, 0x68204289, 0x33668f35, 0xe3e871ff, 0x2803a2c1, 0x1dcf27f4, 0x98e83bf6, 0xde3bd938,
+    0xadd57709, 0x9ac3a291, 0x85a49d4b, 0xd1f14c33, 0x9a5befdd, 0x6c9b32a2, 0x2886ed78, 0x7a7e5000,
+    0xa75299a9, 0xea7158d0, 0xab1ae971, 0x162a64e5, 0x454004d2, 0xdc119038, 0xcee86738, 0x8d72cea5,
+    0xacae2079, 0x746cf988, 0x96949988, 0x970227f8, 0xa82a720d, 0x24e1dd08, 0x8aa84f0d, 0x60690bb1,
+    0x4ec18275, 0x6b7a0c52, 0xd0d62e32, 0xe4c4db51, 0x2def2f89, 0x56db787e, 0xefda32cd, 0xf4e575e4,
+    0x7b1c942e, 0xa3349fae, 0xc26f2b36, 0x656b846f, 0xac2c4b3f, 0xe17f94ed, 0xa72938eb, 0xb0677405,
+    0x2d38e0fd, 0xd9ca87e5, 0xef89b60c, 0x75edd264, 0xc76d0067, 0xf86052c8, 0x932b9ec1, 0xd67bf51c,
+    0x7d741d44, 0x8e887695, 0x5aae9c2c, 0xd3c5c40d, 0x39da89fa, 0x112364ad, 0x3c97eebe, 0xc434059c,
+    0x00000000 }, /* 10**-00000000000000007442828536787014559225075792773166431781287533438136937282459\
+                          63960974631028119473486019635930893891134220822124816566203939432067701407744 */
+  { 0x00000000,
+    0x3fffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72,
+    0x4a9bfbe8, 0xc3d317cc, 0xd7810b11, 0x57062e0e, 0xda0aa4e2, 0x97a14f5e, 0x508dbfd4, 0xd1ad597f,
+    0x00000000,
+    0xafaa6f49, 0xe7d0a65f, 0xf5df4982, 0x5c0f59b7, 0xb01f90cf, 0x8c1c3677, 0x5500d02c, 0x1ebef9d4,
+    0xba9eb79a, 0xf6e9ba2d, 0x4368a326, 0x3309ffa4, 0xccd326c6, 0xee5a2991, 0xbf5f0e20, 0x87953e09,
+    0x3febd8a1, 0x12f4fb71, 0x2b9a4426, 0xc89a6ea0, 0x28a34048, 0xcdd11ce5, 0x612365bb, 0xa8c71d43,
+    0x8914548c, 0x9840a664, 0xe1308333, 0x6cd83a68, 0x81d6eede, 0xa3d32669, 0x424432cc, 0x27d7e443,
+    0x3e2c8168, 0x92bd6861, 0x7c77409f, 0x8414fb43, 0x20be3f9c, 0xf15095c0, 0x8b902c5f, 0x2637b0cb,
+    0xae5a38fc, 0x117443bc, 0x0a25ff83, 0x900af50e, 0x4ecf1f6a, 0xc1aa4848, 0xcbab007f, 0x3813e479,
+    0x3cdd6610, 0x4b162d3b, 0xb471fa80, 0x6906f70a, 0x83e64045, 0xbeea4f03, 0x62d1a2b2, 0x2054415d,
+    0x13ea2e57, 0x8280bc3c, 0x8c83f4a6, 0x239a658a, 0xbf2fffe9, 0x7af105d8, 0xa7d6dea0, 0x5888fdd4,
+    0x4ff1082d, 0x34880249, 0x07d8ba77, 0xf9d02b59, 0x9612962a, 0x68ab6514, 0x78d1734f, 0x722d9f14,
+    0x94dba936, 0x85b0f741, 0x9b1b8fcf, 0x95b1e187, 0x87dae556, 0x90cf1d62, 0xa76c6dc5, 0x22a7dcb6,
+    0x5f277310, 0x83af5568, 0xc2e2cbe0, 0x54d7b810, 0x5d03f177, 0xf72252f1, 0x80e11007, 0xf99abca4,
+    0xfb180b0c, 0x3756edb3, 0x8591d538, 0x81d622a5, 0x5c5373b9, 0xf502fb8e, 0xe3647509, 0x66f27e30,
+    0x0f235f01, 0xa6872118, 0xac4f8a36, 0xbe731561, 0xf9cebdc9, 0xe0f686bb, 0x71e0ef30, 0x0518ae20,
+    0xd219c106, 0x52591c8b, 0x5adf1680, 0x1d10d6e4, 0x4e265ea1, 0x261a2258, 0x2f02e6cd, 0xa7632977,
+    0xabc29bb7, 0x68801a87, 0xf7962e80, 0xd8ec4f89, 0xb754cd71, 0x34ed944f, 0x0637ce70, 0xa66e8cf5,
+    0xcf486bfd, 0x67f36113, 0x14fcc57d, 0x1da9a321, 0x23aa790f, 0xcee01e88, 0x395a49b7, 0xe1fae43a,
+    0xe307fbf9, 0x2330b0bf, 0xdfe7ba09, 0x88b499b3, 0xcda55d14, 0xf267f939, 0x5c116097, 0xfbb6bfd0,
+    0x3cb7a213, 0xbc67d865, 0x5e3f610c, 0x449ec51d, 0xeb9afbe7, 0x1a581c69, 0x15c5cbd0, 0xc92aaaad,
+    0x15e9615a, 0xe3ae7685, 0x35acd6ac, 0x2cb7f412, 0xf9ce0666, 0xf8ea734a, 0x2f4b42f1, 0x60805142,
+    0x696fb709, 0x34b21dfa, 0xbd210e9c, 0xb0798c37, 0xdeaf2ac8, 0x3198a309, 0x88345a1b, 0x68de2b55,
+    0x6218bbc1, 0xd00ebb96, 0x191f31bc, 0x6c44dc9c, 0x9708110c, 0x728e033e, 0x7200f04c, 0xbd130719,
+    0x193dc72a, 0x59089873, 0x7a40c00d, 0xf6f6e0ba, 0xa914be5d, 0xfad9e62d, 0x394d7be3, 0x6c81ccce,
+    0xe9951483, 0x1ff0ffbe, 0x81e2dc8c, 0xd5ca75c1, 0xc5805f37, 0xd31bcf53, 0x7cfdb24c, 0x3b87bf92,
+    0x152c3f0e, 0x118e5339, 0x880078eb, 0xe30d031f, 0x313b0f44, 0x3d237080, 0xf1e482a9, 0x9efd2f34,
+    0xb2cb8600, 0xa72ac8be, 0x24c230ca, 0xf2353cfe, 0x8e91b921, 0xfd1cdc36, 0xa29ebafb, 0xe3aa01bc,
+    0x54592e57, 0xeb3d290b, 0x6dd8569a, 0x1ad0565a, 0x177f009a, 0x15469107, 0x470ce1c8, 0xa05d46f9,
+    0xf6f13237, 0x2c23b39e, 0xa4a3e95b, 0x5cc6b607, 0xbfb5cdb9, 0xdcb38e12, 0xf9513c47, 0x59fdf87b,
+    0xf94ab4fe, 0xfad2615c, 0x5929f1c9, 0x16f646fc, 0x43610bf9, 0x5114b782, 0xc5b04982, 0x04a6f537,
+    0x308bf28e, 0x5dafd04e, 0x519ccc14, 0xb7e9c186, 0xb0406f5d, 0x54070164, 0xecc80f56, 0x31218418,
+    0x098c0d8e, 0x8495d9c1, 0xa1d9cffe, 0x6efaa85f, 0xcf617f23, 0xc7f12d33, 0x6734e37a, 0x4b3b7c87,
+    0xf03bfac9, 0xb7449ecf, 0x184d8866, 0x37785537, 0x1d3f15ba, 0xfe950aed, 0xd3a1d0f4, 0x751c69a3,
+    0x88a910c0, 0xdd59785c, 0x97ce3986, 0x0623d3b7, 0x69da29b4, 0x1efdf786, 0xbef15fef, 0x8260b0be,
+    0xdafc671f, 0x1557eb6d, 0xd70b3b54, 0x8560ae1f, 0x3ee8fe85, 0x9614a7d7, 0xc5dbf0f0, 0x04162432,
+    0xe664e2f1, 0xede9fd76, 0x827c8f3a, 0x9ce78938, 0xdee4645f, 0x7ae4d5f9, 0x44018740, 0x87156881,
+    0x18b94eb7, 0x7080a1c3, 0xc483c90e, 0x5c966c0e, 0xbdfea1e4, 0x5546ad48, 0x95d2a83e, 0x8327e310,
+    0x29c88d67, 0xe6508c15, 0x62976eaf, 0x8f7ec332, 0x3789b7ff, 0xb054eabb, 0x1604f92a, 0x2b73f69e,
+    0xf1458d81, 0x88db597b, 0x916ea54d, 0xa21afc04, 0x97bab3b3, 0x4f512365, 0x73893c2f, 0x5f09c7ce,
+    0x45b3b68d, 0x03ee83ce, 0x43fe30c3, 0x6552513f, 0xc749ba22, 0x5de13228, 0x0ad4d90b, 0xd62c747b,
+    0xc4028560, 0x1d575a73, 0xad7312d5, 0x17c09f74, 0x05feff5e, 0x0a837a57, 0x51a33003, 0x6af1b2f5,
+    0xda3461eb, 0x28255384, 0x8cdd1cb5, 0x86d89a47, 0xe87c0961, 0x53f0aa15, 0xab3ab5b5, 0xf1fbdb96,
+    0xa570b4ec, 0xe3ec7f05, 0xeabb71aa, 0xb312e820, 0xc59c11ed, 0xb16c5a7d, 0xd589a340, 0xce7acf6d,
+    0x7034a6d8, 0xfbe604eb, 0x589c27ad, 0x3f69ba96, 0x29e3efc6, 0xf0a57259, 0x2a31430d, 0xca9634ca,
+    0xfe3e5d01, 0x0335df89, 0xc6352e8a, 0x3d0a46f6, 0xaa4b2818, 0x6870bb77, 0x0048835a, 0xeeab58e8,
+    0xe72cddfa, 0x748da759, 0x1cb0a907, 0x759f4d32, 0x6b716d37, 0x53535297, 0xc4bf1850, 0x9af00fb4,
+    0xb2708f6e, 0xeb624064, 0x07e2468e, 0xb38afa62, 0x41ffaa64, 0x5cd3ab7a, 0x1df1147b, 0x0d569559,
+    0xc9183393, 0x091abb71, 0x96f69064, 0x64706cf8, 0x2d55d98f, 0xa048b604, 0x11b13044, 0xc99327a1,
+    0xc5cc19b9, 0x56d158a8, 0x11b30002, 0xc845a606, 0x7a756fc2, 0xed008686, 0x71477371, 0x2a5570e3,
+    0x5f9ef8e1, 0xc965bf63, 0xb0943119, 0xff5e44bb, 0xfd2f9b0d, 0xdbf09f32, 0xf731d962, 0xd9752c7c,
+    0x0b9b5ac7, 0x0f802154, 0x7e154f55, 0x4f0d7eee, 0x6f3f8fa2, 0xf936ce1d, 0x747faf40, 0x24aadc71,
+    0xd44027f6, 0x1f0c34d3, 0x4583e275, 0xbb6fe876, 0xd8f4ecc1, 0x73a309fc, 0x8326ff8b, 0x8f3efcb0,
+    0x5a274235, 0x63c6ce9b, 0xf82ae6f1, 0x4dcd2cbb, 0xf011a07d, 0xd9017786, 0xb8c6d8ba, 0xcafb8c00,
+    0x2e4ecbf6, 0xae0bfe48, 0xc34ef940, 0xa959e3fd, 0x54231a0f, 0xdbb6217c, 0x95f73637, 0x15760f51,
+    0xc8eb18fb, 0x0802b970, 0xcd305723, 0xafd14754, 0x03833929, 0x5feca903, 0x75382b2c, 0xaf76b363,
+    0xaf829577, 0x7cc57645, 0xee9d4dac, 0xc784173c, 0x728f4cda, 0x29dfa90c, 0xbbfe3ab1, 0x52354b7c,
+    0xf3528635, 0x435d9d56, 0x65e282c4, 0xa75b1b91, 0x0183c567, 0x544f88c9, 0x372babd2, 0x191f2f1c,
+    0x04ca2d55, 0xf32b8395, 0x85b9b56c, 0x4e8821da, 0xf181a7e0, 0x30bdbd13, 0xcb7f2f11, 0x6ef0824e,
+    0x5db6df7f, 0x387d2dc4, 0x1aae3ca8, 0x182d9c23, 0x27a94b63, 0xb5f2e93a, 0x0e3f2003, 0x71faab37,
+    0xf2c94cd6, 0x93f90c14, 0x14e44092, 0x61d137ad, 0x703c7469, 0x4dc4b634, 0x2d05df26, 0x4fef0d76,
+    0x72c2d331, 0xa4726963, 0x4a95c33f, 0xc9450d69, 0xe55aa8dc, 0x7f826fc3, 0x0170efe6, 0xc58c39ed,
+    0x3855f072, 0xd29f8f72, 0x6db14956, 0x61fcc51c, 0x1058eec3, 0x34de27fb, 0xa37ea58c, 0xf7d66d8b,
+    0xceb32fdc, 0xe6757ef0, 0xc808a0e1, 0x21fa36f3, 0x9d966440, 0x64b6db4a, 0x746cc4d6, 0x683fe390,
+    0x79cace73, 0xd9d83af3, 0x6ed05a14, 0x8ade9dee, 0x3ba65eae, 0x0fa0e53b, 0xa8542376, 0xa4114e85,
+    0x54c131d1, 0xdf252d80, 0x3708a60d, 0xec0a2db8, 0x6d5694b0, 0x8eb26fff, 0xafb2c4ae, 0x4c101bef,
+    0x6d1ce03e, 0xbf13c0e1, 0xb7f8c14e, 0xa93f8011, 0xbbbcbf57, 0xe809e4cc, 0x7200ee82, 0xfda28f41,
+    0x36dca637, 0xcdc8a0ca, 0x83adcb2b, 0x909b5539, 0x617b7c28, 0x7bcdecd7, 0xe8d8efb4, 0x871173d9,
+    0xee75095b, 0x0ccf53da, 0xe6b57844, 0x866a1270, 0x8aebde9a, 0xf170b1c2, 0x5dd29c53, 0x082082ec,
+    0x7979aa99, 0xc766db2e, 0xb09b9782, 0x8a8e60e8, 0x12a7a596, 0xec72204a, 0x3a339e5f, 0xe9d2c2e7,
+    0xba5bb31f, 0x4c4a0f2e, 0x9d55701f, 0x6acc34e3, 0x50d38c3d, 0xea2116f4, 0xd2091c6d, 0xf6d90e85,
+    0x81b685a7, 0x3dd80978, 0xa1f15cf2, 0x162cc16d, 0x3a97fbc3, 0x58a5de3e, 0x6b3500fa, 0x38e949e2,
+    0xc5587c12, 0x15e621a1, 0x0bc11d61, 0xd1d68ed4, 0xc56e9fb3, 0x2222bbee, 0x984402a3, 0xe2fc5e6a,
+    0xd33b0191, 0x68aae0fd, 0xf9a6eb64, 0xd10b7be9, 0x661ead3b, 0x5db0276a, 0x34de8230, 0x706d816e,
+    0x25f50b50, 0xadf7410e, 0x97e8e0f6, 0xb1fc1d6d, 0xce134202, 0x5eda5740, 0xf536510c, 0xb031a747,
+    0x2f77aa2f, 0x754d3c0a, 0xb6cdb816, 0xdbfb7ae9, 0x3fe7881f, 0x2ba6e340, 0x29b7c775, 0x1d5842a9,
+    0x8f550afc, 0xa176a306, 0x651cd785, 0x27604e19, 0xecf3ceb7, 0x9b512472, 0x9af439f2, 0x6affeefb,
+    0xe9c8d84c, 0x6083845e, 0x6eedc8bf, 0x872a074f, 0xd3ce957c, 0x433601ef, 0x7c13fa92, 0x12381b96,
+    0xb1c77f91, 0x0f98d7a7, 0x20b84762, 0x9ad95117, 0x0ffa2181, 0x5022988c, 0x1ded071d, 0xf0bdb018,
+    0x8e7d753d, 0x7da8bec9, 0xe3adcf59, 0xfa1a387a, 0xc791167b, 0xf9662896, 0xc6fb10a0, 0xa9bff7bd,
+    0x2e0f2edc, 0x0aa7ca3b, 0x80bf0691, 0x0a829438, 0x2fa22576, 0xdc013299, 0xbbbeaaa0, 0x94f6706e,
+    0x8336fd16, 0x7200cc21, 0x1257e0d3, 0x7ecf5880, 0x0d6d9f3b, 0xa4e430d9, 0xa4ff8c14, 0xddf7f1c8,
+    0x45348caf, 0x73b88d49, 0x42a6170e, 0xbaa8c50e, 0xf95aa700, 0x804e1136, 0x41078986, 0x6df75865,
+    0x1a7679c5, 0xbfba9a39, 0xcee201c1, 0x4659b844, 0x71303a74, 0xef589d53, 0x85701448, 0xacb584b5,
+    0x4e4aeba5, 0x395f6f28, 0x31645f5e, 0x29b9af2a, 0xb28b953e, 0x8918dd31, 0x35c4f346, 0xcdf1f8b7,
+    0x8697d316, 0x8110240a, 0x63ef3194, 0x53a5c8a2, 0x3a59e549, 0xfbaf25f5, 0x6921fcdd, 0x47ce6e4f,
+    0x0253207d, 0x04fbdff3, 0x11b9cd18, 0xfe4bfcc4, 0xf9e19907, 0x86b0c6ef, 0xbe5c9415, 0x136bc63f,
+    0xe738dac0, 0xe85666d0, 0x076a6ff1, 0xeb297356, 0x43a926ad, 0x14c46697, 0xd33250ad, 0xe338cef2,
+    0xcf4f393d, 0x238dc622, 0xc2017fbc, 0x840dbe1d, 0x92af7a57, 0xaf907e04, 0xf9da86cd, 0xc0d12583,
+    0x97c39fe2, 0x3fa1dbb3, 0xe357c893, 0xfe97516e, 0xc47ebd1a, 0x3a2d8bff, 0x2068a9b5, 0xa2fae9e1,
+    0x1edcc473, 0x3d8dabb9, 0xe60d4eba, 0x0e05e5d6, 0x7a851277, 0xffead21b, 0x79eaf166, 0xb0b3fc33,
+    0x32bdae4c, 0xe90191c4, 0x1c53f11b, 0xa77b7119, 0x657b7b3f, 0x2ae1150c, 0xac715a05, 0x3a873d35,
+    0x5d7c8ec9, 0xc530a8bf, 0x00e700b1, 0x0eecdad1, 0x10d045eb, 0xa73397db, 0x606e6e18, 0x3d9cd821,
+    0x1f4b4db7, 0x7c463e71, 0x2ebd7808, 0x6742113f, 0xbdbec693, 0x6546b37b, 0xad5fca1b, 0xd7a74757,
+    0x07b203a1, 0x8bccb0f9, 0xc75afd42, 0x7e0e4106, 0xc1e4743a, 0x165f6a0f, 0x0bfdc9c1, 0xec9e129f,
+    0x70c92600, 0x798d94a4, 0x97835554, 0x5bb8259e, 0x1dd62422, 0x68e3b1ec, 0xbe4fca78, 0x476d2d74,
+    0x73ed90f5, 0x0549074b, 0xec50d70f, 0x07184a86, 0x28974d6e, 0xb1185f18, 0xffe54b1c, 0x4745d105,
+    0x87720208, 0x5d8d14e4, 0x0418503d, 0x40f2d9b7, 0x697b0580, 0x1fd948ec, 0x56b7b363, 0x5f8aaf2c,
+    0x15554532, 0xa1d69346, 0x3ed5ca8b, 0xc6cbf016, 0xd8f7dd90, 0xd88ac7be, 0x8c511cd7, 0xde6d439f,
+    0xf594929c, 0x197f506f, 0x479f893f, 0xf94cc7a5, 0x46aa79cf, 0x5c000e0f, 0xbc49e6f1, 0xe3277360,
+    0x994375ee, 0x06d4a3ee, 0x553c900e, 0x039522f4, 0xb1ef8c31, 0x6d100e4c, 0xe63bfb62, 0xe9b9ca48,
+    0xe68e428b, 0x45943c3f, 0xd6712824, 0xf7e67bd6, 0x04be947f, 0x1d6f0f06, 0xb8682c90, 0xc0a0a0f3,
+    0x2532816e, 0xe6a2ff7e, 0xe5c1f667, 0xa61f87a6, 0x11be4f2c, 0x60331176, 0x12aa8a7c, 0x8043195c,
+    0x2ec9afa6, 0x41d4fd2d, 0xacd22f27, 0xb5860988, 0x85664f30, 0x5e8a8574, 0x56343b62, 0x577959a9,
+    0xa4198bfd, 0x376fed77, 0x086b588a, 0xe07ff7e6, 0x8fa66165, 0x685ad875, 0x480f4575, 0x20d82079,
+    0x0f70dad2, 0xa19b4b91, 0x653394bf, 0xeebc1aa5, 0x5bc205bb, 0x6582781d, 0x729fb317, 0xcafdad8c,
+    0x5051e216, 0x1020376d, 0xd368cee1, 0xaf8dc7a0, 0xa6b6b0ca, 0x98b79af8, 0xacb902ef, 0xf31a50c4,
+    0x0db80876, 0xb12010f5, 0x0154f056, 0xb22036d1, 0x1ed1686c, 0xf9c2aaf5, 0xa789ec7f, 0x722dd759,
+    0x48a86568, 0xd8a4f25a, 0x4216c46a, 0xac98e1be, 0x7882934f, 0xbc25dc57, 0x136c4c05, 0xd27f4443,
+    0x4dac0212, 0xf8252612, 0x2464227f, 0xc85f2f1f, 0x8d828967, 0x7f27d23e, 0x864cfbdf, 0xd603b796,
+    0x2b8e1149, 0x1d5e49c4, 0x1574df95, 0x5a381674, 0x3592c896, 0xe8a8dde3, 0xe37b48f3, 0x9233780e,
+    0x1f65751e, 0x71f13165, 0xa76d9d9b, 0xed726700, 0x7d8cb3bf, 0xa0534bb7, 0x62b95761, 0xe8efaf68,
+    0x16a18ee4, 0xc3ebdf68, 0x475e1e16, 0xa28dd048, 0xcb10e967, 0xcf26c4da, 0x46862c8a, 0x12c5dca4,
+    0x36f587bf, 0x799889b6, 0x7c78ee9f, 0x3eed39e2, 0xd087e116, 0x48791571, 0x5973fb08, 0xa42b0348,
+    0x0133f1c3, 0x3f6a3764, 0x3e82a0be, 0xaab3877e, 0x8e7351a1, 0x37d250d0, 0x5d391162, 0xa30f98d4,
+    0x9e9867a3, 0x6eb4de59, 0x67020200, 0xea3a7bc0, 0x7a334820, 0xd2147dc0, 0x321eb6f4, 0xd8e3ae52,
+    0xe82c4c5c, 0x1e63995a, 0x1a18b409, 0x406d9b2c, 0x9076ee1b, 0xe912e1c8, 0x388f3f91, 0x8900421e,
+    0x13d373b2, 0x0144e45e, 0xbf26ed8d, 0xe5bfb147, 0xa3619b00, 0x7ec8c1bd, 0x27fe367b, 0x59f22e12,
+    0x3f2d35ca, 0x5fce570b, 0x12ed6bf7, 0x355c0bb0, 0x9312944a, 0x67b8133a, 0x9ccbc819, 0xebb06dce,
+    0x710677f0, 0x8dfd2355, 0x02b22f30, 0xf409b1ed, 0x23ee9dee, 0x1cd32ec8, 0xf0ba545d, 0x065e6ced,
+    0x09d528b6, 0x5126665c, 0x63df4618, 0x127a7aa4, 0x0434418e, 0xaeaa1150, 0x32f63d37, 0x36f22fea,
+    0x54b20056, 0x87a12909, 0x3faa8cb2, 0x758ebf5d, 0x65a81b63, 0x1273aa8a, 0x230ff462, 0xe6650975,
+    0x9a3ddc82, 0x7a3e70e0, 0xc4590353, 0x61449434, 0xe24aac4b, 0x15226ad6, 0xeb27fb9e, 0x4b2326be,
+    0x8c4ed9b5, 0xd08be23a, 0xcbcb9e38, 0xf969ff1c, 0xe14672eb, 0x72bdedd2, 0xad2dc1c1, 0x239197d8,
+    0xb2c96237, 0x35b3a081, 0x94e60402, 0x7495ec05, 0x5ab7e645, 0x4d6c6d8c, 0xf4f7cb4b, 0xdba02a1d,
+    0x64fbd540, 0xe15f3453, 0x359d22a3, 0x0cfd7476, 0x2eb6e784, 0x59ad0b62, 0xd94eff35, 0xc0ac195d,
+    0x2273638f, 0x3f9f1120, 0xb12f60d4, 0x4c164988, 0xa52e2106, 0xd4bc327f, 0x03ec1c61, 0x48b04343,
+    0xb0bd7f57, 0x448509a9, 0xed58f0d3, 0x29587f90, 0xbb7f95ef, 0xc04d1bec, 0x9cd7c356, 0x4ed379e9,
+    0x938a9965, 0x00dcf5a1, 0xf7ebc2b2, 0xaefb45da, 0x8780db2c, 0x3909b99f, 0x3ac15ea9, 0xfdcb9402,
+    0x00000000 }, /* 10**-00000000000000003721414268393507279612537896386583215890643766719068468641229\
+                          81980487315514059736743009817965446945567110411062408283101969716033850703872 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9,
+    0x254dfdf4, 0x61e98be6, 0x6bc08588, 0xab831707, 0x6d055271, 0x4bd0a7af, 0x2846dfea, 0x68d6acbf,
+    0x00000000,
+    0x95f36227, 0x0f910bfb, 0x386fd7b3, 0x69305ee7, 0xd90b2474, 0x70c34dcf, 0x4b2a4797, 0x0c4fad6c,
+    0x1ece6140, 0xb89c75b4, 0x137be0a1, 0x67cd7ec9, 0xc9ab9de0, 0x383cf221, 0xc1610684, 0x56d3c989,
+    0x7cd68191, 0x617dd932, 0x632d52a3, 0xa354a13e, 0x66090df3, 0x6f555a0e, 0xc11f0da0, 0x85aff648,
+    0x697027c1, 0x1603a234, 0x13424a2d, 0x5cdf9207, 0x9eb47665, 0x6ac6540c, 0xddbcb3de, 0xeb40c3dd,
+    0xac90c071, 0xb6bd9f8f, 0xb306fa3d, 0x84e33c93, 0xf8ca39f3, 0x8afce949, 0x127123d2, 0x59016411,
+    0x7423bd8d, 0x6bf2924a, 0xf1c75c73, 0x5ebc7051, 0x250d013b, 0x5fc0d1d4, 0x3cd496a5, 0x8c596f32,
+    0x9c0537c2, 0x03e742bc, 0x6424f75f, 0xf2a219c0, 0x25e4538a, 0x3e6fe2d9, 0x78aa8a2a, 0xe33c8770,
+    0xbaafcb5b, 0x7600396d, 0xfe8d4224, 0x4fb62feb, 0xd60130a5, 0x20bbcae2, 0x2d1754e0, 0x2febe3dd,
+    0xe51f4f86, 0x20a23526, 0x38e5ac46, 0xd08b6f03, 0x04e7616c, 0xd8bca90d, 0xe426f8b3, 0x894ee2c1,
+    0x28ee2ba1, 0x0810a268, 0x0b22a5d4, 0x98d7cbac, 0x353a6577, 0x6f958f61, 0xa47906af, 0x135e59f0,
+    0xcbeef46f, 0x7fba0fc6, 0x3251560e, 0x21e55c4b, 0xf6a09bd2, 0xbf89cabc, 0x26048a31, 0x6e2f84bb,
+    0x273fa1b7, 0xf9b40ab4, 0x2a8bd62c, 0x79d7e88e, 0xd4984b1d, 0xd45429a6, 0xae5a6e54, 0x5ee5c980,
+    0x62c20df4, 0x70f71188, 0x99130dd0, 0xaa1f7cd8, 0x2069cd1e, 0x7503b8b7, 0xa30a36c7, 0xb518cb65,
+    0x71e344fc, 0xacc8146d, 0xf7b907e5, 0x645fc8b8, 0x73c1712c, 0x91bc95e2, 0x1258b3e5, 0x060edd8a,
+    0x85c0a18c, 0x465474b2, 0x07a33283, 0x707884e1, 0x1b9427d2, 0x7bd3c56b, 0xaad16f88, 0xbe83c145,
+    0x2f5fefec, 0x9dc5a26a, 0x9b0bcb4a, 0x015e8fe6, 0x597005da, 0x82a16d5b, 0x19aa3b1e, 0x724e8ecb,
+    0xf3256f60, 0x0f10c019, 0x99dd427f, 0x738e3c70, 0x271502a5, 0x8758824e, 0xe4fc9bf8, 0x48037130,
+    0xe30d8811, 0x1167828c, 0x06218508, 0x69c2b277, 0x696c89f0, 0x5de69560, 0xf2766044, 0x252cef69,
+    0xe88c33cc, 0x54b76f25, 0x3dcc1ec9, 0x5049b20c, 0x33b4f623, 0x95cd4947, 0x70d66149, 0xd5c8bb51,
+    0xa30e03e3, 0x1029197a, 0xc78508ad, 0x6bdb6001, 0xcce7ba96, 0x31c53dc5, 0xb3c7bd4e, 0x8558e207,
+    0xbe8d0157, 0xae040fd6, 0xc23975be, 0x06646752, 0x7d99d4d8, 0x281f924c, 0x84389d55, 0xa7b0a2f9,
+    0x6353f138, 0x8920a96f, 0xabdc80ce, 0x444aaa29, 0x370b640e, 0x5951c7f6, 0xa9ab4ddd, 0x89558508,
+    0x4e016176, 0xe7f666c8, 0x79b306ea, 0x79ff62f3, 0xc08d986e, 0x71c7bfae, 0xafffb5ab, 0x5c339327,
+    0x15aa71a2, 0x1ba5282c, 0x4b0e8ca2, 0x8f7e5a84, 0x880ac1ba, 0x5b4874e9, 0x3a7e5577, 0x07ef3c96,
+    0xea8e712f, 0x3d003aeb, 0xf6872934, 0x299fc0d3, 0xc1870a9c, 0x05dadc57, 0x4019f2e2, 0x24f73496,
+    0x1ff3ff13, 0x28fd497e, 0x9c61df0c, 0x7fffbee8, 0x91b8c378, 0xd65f0057, 0x4fd370a7, 0x7c189396,
+    0x6348bb8b, 0x7a830093, 0x3d3783a9, 0x8d48da92, 0x869a8fea, 0xbcad61df, 0xb1438404, 0x251da2fe,
+    0x500df833, 0x9156f304, 0xe9b23fe5, 0x91faf8e0, 0xef6075b8, 0x27015736, 0x3fbdbd17, 0x554dcb39,
+    0x23b67576, 0x94d3b957, 0xa76aed0e, 0x850735ac, 0x12c56c23, 0x9ff9b040, 0x0dbae3bb, 0x52f08fee,
+    0xf4bcc0b6, 0xb5bfc61a, 0x343a0701, 0x272d591a, 0x67c00031, 0xd1a2f913, 0x4f67ac77, 0xe7537503,
+    0xd2529f92, 0xb603d706, 0x3feaafff, 0x87a2e5fa, 0x84a085c3, 0xfe10edad, 0x81dcbb2c, 0x4405ed02,
+    0x38b5f76b, 0xc205cc5d, 0xb5cc390d, 0x55ad1806, 0x3e39167a, 0x0f1e4146, 0x9f59119f, 0xb9a86f47,
+    0x041408e1, 0xeb2f53bf, 0xac8ef213, 0x26fbd7ec, 0xf2e509f7, 0x2f14af92, 0xd39996c6, 0x8fe21ef9,
+    0x04878ecc, 0xad80a960, 0x01052c7c, 0x1c3d7523, 0x4cb444ba, 0xa06c4075, 0x59cd3f66, 0x8717cf36,
+    0x4b855888, 0xaa3526fc, 0xd77cc445, 0x49c31fde, 0xd86ebde8, 0x5ec059f4, 0x277a39aa, 0xc0687193,
+    0xb3a5e848, 0xd1c98eae, 0x699410ff, 0x7998f0c6, 0xcbcc748d, 0x88309fe5, 0x393d60ab, 0xd12bc02b,
+    0xb3eeae04, 0x529be5a4, 0x94676013, 0x58eb76c5, 0xca453583, 0x6647af2d, 0x1bf350c8, 0xb396fe26,
+    0x5b9be4dc, 0x307a3514, 0x6746df0e, 0x88c86389, 0x520bdfeb, 0x966eac20, 0xa13dc938, 0x0565183c,
+    0xa5f9bbdb, 0xbf2d18a0, 0xfd13331b, 0xa934099f, 0xcf880a12, 0xa76378eb, 0x54d185f6, 0x83dd1ec3,
+    0x2b3d067b, 0xfa793791, 0x6cbd7ae1, 0xc4fad7bf, 0xaddeaac9, 0x28e6fb31, 0xf6837fd4, 0x6ccd329e,
+    0xf31d3249, 0x630d3a7f, 0x43004e2d, 0xa6150fd0, 0x831455df, 0xf0be3077, 0x3bf6ee3e, 0x64ae37ec,
+    0xeff60617, 0x1b6013e2, 0x2e4cd292, 0x6b037b4c, 0xd88a188d, 0x3550c059, 0x25e8bd75, 0xa884703c,
+    0x6a727791, 0x23c0f55a, 0x5dc6cce9, 0x62dbc190, 0xca7bc48b, 0x1a35db8a, 0x45872e3f, 0xb5dd727b,
+    0xab66c2d3, 0x404b044e, 0x22c29068, 0x53d05c65, 0x1fd1bd76, 0xdb90e7a7, 0x2b93a927, 0x648a2213,
+    0x6dc24648, 0x4e9f8eff, 0xb8e0a222, 0xdb05aed2, 0xe73e03e1, 0x5eecee67, 0xc448e525, 0xa5d0c110,
+    0xd7b209c8, 0x103c2461, 0xa707df03, 0x6d930a0a, 0x20603ea1, 0x7eb9dee7, 0xd675bdcc, 0xe64412e9,
+    0xbd8f4e86, 0x7e6c3d5b, 0x021224c5, 0x02df8ea5, 0x320aeea0, 0x5b2d6f36, 0x6b2e91f7, 0x9319dc76,
+    0x470bd728, 0xa8c9a252, 0x1e040187, 0x9089a38f, 0x0b10dc1d, 0x15598ad7, 0x3100c006, 0x9d60384a,
+    0x4769440e, 0x991d9612, 0x3854fe3f, 0x1ff5c7bd, 0x666d65f2, 0x6e870037, 0x26268380, 0x14bf4ac3,
+    0x64d4feb2, 0x0392917a, 0x9f759a12, 0x9af90566, 0xd34745c9, 0xc93b073c, 0x63412808, 0xfdb3c2f3,
+    0x81615275, 0x1b6e64b6, 0x5214d2b0, 0x4a20a575, 0xfae0fefe, 0xdb07d66b, 0x8fffe9ab, 0x96c9529d,
+    0x0b884a57, 0xc57c55f4, 0x356deef9, 0x2c55ee7e, 0x83475a42, 0x7e4c74ed, 0x9e33b621, 0x3a266545,
+    0x99965800, 0x310bd71a, 0x8624163e, 0x70d43019, 0x5c5f06d9, 0xa30ac8eb, 0x30a1623c, 0x5bc1224d,
+    0xdae0fab9, 0x7fdae308, 0x94d491d6, 0x20cd04aa, 0x1ed148b3, 0xd9b596c4, 0x6315bddd, 0x1b027172,
+    0x5a7e9254, 0xfe39697e, 0x6e793d43, 0xde4047f2, 0x650d8ca2, 0xfa55457b, 0xc813047c, 0xd3241d62,
+    0x3ed15c31, 0x2f47ebb7, 0x39141a16, 0x240949be, 0xb3632c79, 0x12bfef0b, 0xc571618c, 0xf0a5be9b,
+    0x0f6cee2c, 0x900fc721, 0xb86714e9, 0xdbbbec8b, 0xd775a382, 0xaf4d8275, 0xe63c4cf4, 0x91fe543f,
+    0xb9bef5a0, 0xa90e86f8, 0x5b83561e, 0x267ecc21, 0xda42ebfc, 0x19ecdbff, 0x044ab9d8, 0x9d0297fb,
+    0x70edbf0b, 0x92187a08, 0xf444caab, 0xbb77f064, 0xcf33ec90, 0x67c303e4, 0x905bf814, 0xe843de5e,
+    0x75c02ef5, 0x7aa8379b, 0x5f2d2f0c, 0x66098ec2, 0xe814f330, 0xa9fae947, 0xac6cb10a, 0x2421c648,
+    0x1cc90589, 0x21ea1960, 0x8f935057, 0x3cd15fd4, 0x8f59983f, 0xa6cd36ff, 0xdd6ddb93, 0x44660363,
+    0x33b6d5b1, 0xae61fb80, 0xe33fb9f8, 0xd7e943fc, 0x5f9e27c1, 0x95096221, 0xcdc9f4fe, 0x701eb329,
+    0x1437c625, 0x4ab17dbb, 0x04d370ca, 0x6ae01b40, 0x90a913b4, 0xd9d942c2, 0x28bc1817, 0x8bd0268d,
+    0x07a16a0e, 0x91948594, 0xfddbaf9a, 0xb3deaf50, 0xe1784b8d, 0xf728d93f, 0x7c654259, 0x246d98b5,
+    0x24394ad5, 0xd808eb38, 0xd5c3e6c1, 0xd771d9e7, 0x08e69b27, 0xe287da42, 0x3c74cc5f, 0x2dc50d37,
+    0x95c4bedb, 0xeac9661a, 0x96e51c96, 0x6a12b6d7, 0xb5688782, 0xb696801a, 0xa51fc5c9, 0x9c6887db,
+    0x19d28748, 0xf6a15b02, 0xb89f4389, 0xcccf25b7, 0xa44450f0, 0x71a1136a, 0xff341d46, 0xfe778ddd,
+    0x5a49678b, 0x2ecca14a, 0x0ee5aac1, 0x50295eee, 0xe0689c84, 0xfe6ae630, 0x3c7ee088, 0xcb0198c9,
+    0xce35cdf9, 0x8d6e1738, 0xc97b65f8, 0x51370e65, 0x0590b3cf, 0xa26b142f, 0x331ce151, 0xe236472b,
+    0x14d894fa, 0x55d14bc4, 0x704dd8f8, 0x72c40d9b, 0x3310d22d, 0x8282f700, 0x43690258, 0x71680ee3,
+    0x9c1f0d57, 0x7d506514, 0x9453bb87, 0x418d8fa9, 0x38b73afb, 0x52ff0297, 0xd0ed4871, 0x79997f50,
+    0x203be882, 0xdf29a68a, 0x07523776, 0x8b187a75, 0x48acdf9a, 0x38d269ea, 0x10054413, 0xea259850,
+    0xc1ad8563, 0xff716ec4, 0x5ac6383f, 0x18643fd7, 0xddb3fac4, 0xcc63011c, 0xf024b945, 0x969fa34a,
+    0x91c2aa92, 0xc825a96e, 0x0d24425a, 0xe4207cb1, 0x29eee0b8, 0xc020a1fd, 0xc3773084, 0xaeab2fb3,
+    0x64db33b7, 0xdf73de77, 0x7b8037f2, 0xf4e78a60, 0xf286c59c, 0xf95eecc1, 0x153e59bc, 0x1f1b7fc3,
+    0x8e78f5b0, 0x1b3056f2, 0x1dbe8d03, 0x2486f73c, 0x48774e82, 0xb16ce33c, 0x14f8e34a, 0xd61fe428,
+    0xcfbd10b3, 0xf3d9bea5, 0xd722e5b4, 0x35cb9811, 0xbc2f794f, 0xc72cdc6f, 0xab65d710, 0xccd71de4,
+    0x2f7a4f10, 0x95e20e23, 0x3e421784, 0xbf455bfa, 0x30b60126, 0x531baff0, 0xc8206ebf, 0xb41b0a18,
+    0x72f1f2b2, 0x5366aa74, 0x19c80a35, 0xb39caad7, 0x1a5b4801, 0x8ddb4054, 0x2452a98d, 0x882c01c5,
+    0xa3cb1638, 0xb8439c6f, 0xf7df0866, 0x7b4b6cab, 0x221cd113, 0x804fae00, 0x77a8b5ec, 0xfdbcac34,
+    0xeb30f5bc, 0xcc56f003, 0xf2d0aeb8, 0x15931b73, 0x25c9bab4, 0x06f467ed, 0x9ad9187e, 0x8e60eee4,
+    0xa31918d7, 0xdc5add80, 0x11c32d7e, 0x5f9ddcf1, 0x0f1d14c0, 0x8a3bb3f3, 0x13dfe9d9, 0x32acbc81,
+    0x7f19729d, 0x02e1ede9, 0x6c027e5f, 0xdb0260c8, 0xae6b28e2, 0x374beaba, 0xc0980283, 0xe7b46f12,
+    0xc0f0976d, 0x11763723, 0x9220946d, 0x09ad9e79, 0x186f8f88, 0x40c1a0dd, 0x09512970, 0xd7225a32,
+    0x762b067a, 0x056e19eb, 0x4034a8e4, 0x32587529, 0x074ffd16, 0xe80b48be, 0x61657c75, 0xce0d8cf1,
+    0x07a12232, 0x943ebbad, 0x44164ff9, 0x90804352, 0xf0d05fc1, 0x16c06a0c, 0xa619dfef, 0xf83932bd,
+    0x67a2d356, 0xf6d8e70f, 0xa52c5ff5, 0x6405162b, 0x0a527086, 0x01a8ba05, 0x9cd7f191, 0x197d362a,
+    0x060227cb, 0xa098c79e, 0xf634accb, 0x8d034e83, 0x823c1e44, 0x6cdc0b9a, 0x49552676, 0x36d9f106,
+    0x537b7487, 0xa71a1dcf, 0x7de9398a, 0xc6c5be19, 0xe6b52031, 0x14009eda, 0xd5012c70, 0x93adb202,
+    0xec122763, 0xa6d1ba85, 0x506d34fc, 0x1a820569, 0x5a28a110, 0x3be70c1c, 0xa865d128, 0x1e9a01f6,
+    0xef6a00ab, 0xd2af076a, 0x8fcfa9ba, 0x36df6a91, 0x3daf05ed, 0x70179432, 0xcf555b77, 0xc3d88770,
+    0x6ea9c9f6, 0xa1984d33, 0x7834835d, 0x96ecc00b, 0x38468ed2, 0x64ee04ce, 0xb0229cb5, 0xb02f6034,
+    0xd30b1c4a, 0xafefbf5a, 0x3cba21ec, 0xacc0575b, 0xa23fbe6a, 0x4313672a, 0xdae7798b, 0x72690651,
+    0x70e0314a, 0xac7a02cd, 0x269ab5d5, 0x583fa834, 0x1b677487, 0x052bc460, 0x0fbb9ab8, 0x7f8b3223,
+    0x1290ee9f, 0x7f147140, 0x5bc9f618, 0x8660e39d, 0x7cd29430, 0x44daba90, 0x8616581a, 0xf88cff67,
+    0xa8750dd0, 0x53c90bde, 0xde131000, 0x2b9e2011, 0x8cc3b198, 0x0e2a8a1b, 0x3b7e5344, 0x9109a56a,
+    0x17c317dc, 0xe5d5b651, 0x3af2a5bd, 0x384f9503, 0xe861c042, 0x5d4e96d8, 0x09133a6b, 0xa705890b,
+    0x2b5fe3d2, 0x7a35942d, 0x5383fd55, 0x25f0dc79, 0xc06f5e73, 0x4a920e02, 0x272cd785, 0x0d3486b5,
+    0x0b738ea5, 0x366c41ca, 0xd5dc7994, 0x296221e6, 0xc1399afd, 0xa1d51459, 0xa1be7de8, 0x75fcf98b,
+    0x47c691e6, 0x8621067a, 0x6f071ff5, 0x4132a7e2, 0xc844ceaa, 0x8442410b, 0xcf6ae368, 0xd5c025f7,
+    0x5bc1ab4a, 0xd181df64, 0x012a8658, 0x1c6b5fe3, 0xd56005d2, 0x23a7ba12, 0x6f98495a, 0xa708ef56,
+    0x52c7a97e, 0x33217db4, 0xda3ae0f6, 0xd92b7535, 0x73cc4ad9, 0x42480ec8, 0x60f97d56, 0x61a085bb,
+    0xe4f1a931, 0x86c84ca9, 0x2277dd23, 0x24846ecf, 0x95249da0, 0xd691989a, 0xce4cefda, 0xc89601dd,
+    0x7e91ebad, 0xc3004b7e, 0x4416d030, 0xbe827320, 0x31731de2, 0xb9669285, 0x7e3cfaee, 0x1f49e7b2,
+    0x6fbcd670, 0x572b4c21, 0xad07a12e, 0xed13cc51, 0x33458708, 0xe266198a, 0x63c08142, 0x1a32c770,
+    0x1b12403c, 0x831dbd44, 0xc8f03891, 0x31947ef7, 0x91460d38, 0x309cd277, 0x74f4fbf4, 0xe33f9e72,
+    0x553d6bab, 0x36de01bb, 0x7083c889, 0xa2f756d6, 0x62721e3d, 0x72fe34f0, 0x36903b17, 0x800fbe17,
+    0xcb2e5291, 0x985ea2b3, 0x56e2858d, 0xc5f71ba6, 0x2be55763, 0x4ba0441c, 0x569fed7a, 0x755cd612,
+    0x73171ecb, 0xf2ee03bd, 0x85cb67f6, 0xeebd890a, 0x6e8cbc34, 0x84cda5e0, 0x66df4d83, 0x12df48c3,
+    0x34dd6934, 0x89f9a99c, 0x1abaddd1, 0x4e0d0b8e, 0x8d8c905e, 0x4b65b9fa, 0x327b911b, 0x0221965d,
+    0xea8a44a3, 0xfb67b1da, 0xed395f8f, 0xa4c7726c, 0x34d8ee4c, 0xf8056468, 0x760cc1e5, 0x43f3d113,
+    0x46d3c3ad, 0xcdaf26cc, 0x015caf86, 0x0580c4ff, 0x5c4c5c99, 0x7ee5293c, 0x07035474, 0x9db2325d,
+    0x0e94e806, 0x45a9e689, 0x48c296be, 0x9cc2012c, 0xfd29d453, 0xe7601483, 0xce47c6c2, 0x69dab3e0,
+    0x8360b0d2, 0xf4acdf21, 0x7499aab9, 0x88543822, 0x9f1db592, 0x3e69ea19, 0xb789eae0, 0x6866bbe2,
+    0xd3bcd23d, 0x01adecbf, 0x08c11a86, 0xbfd66f8f, 0x1294b5e2, 0xea97dddf, 0x5b6e7df4, 0x2e9c8cd6,
+    0x838ce30b, 0xed3b3570, 0x3a852df9, 0x3a94db13, 0x6b90b770, 0xd3509478, 0xbe9d1d94, 0x20c78b1e,
+    0x7609c1d4, 0x5692c020, 0xf0bc48cc, 0x126025b7, 0x0a2606b5, 0x1374553b, 0x5b9794ad, 0x116ada46,
+    0xe48fea80, 0xa6f64a85, 0x133ace7c, 0x08892931, 0x302a3dcc, 0xa331015f, 0x0a05e13c, 0x2087157c,
+    0xd3f3fc5b, 0x65c41de7, 0xd686579a, 0xa1557e8a, 0x8f1bf4f8, 0x9e56d6d7, 0xa7ccaee6, 0x2e4a160c,
+    0x68785d1c, 0x1a57f60a, 0x1cc1cc03, 0x3e4843aa, 0xd62bd4f8, 0x81ad8a61, 0x8a403094, 0x2c8ddec7,
+    0xabc014cb, 0x64cd3d48, 0x5c784b8f, 0x1936a91e, 0x7b401e4c, 0x11b9d5de, 0x53b8c1b3, 0x8e5db261,
+    0x46597e30, 0xcb2ee688, 0xaf4788d7, 0x7a3bbe1a, 0x51fa4f94, 0xeb5e4c4f, 0xbf0981df, 0x4b00c767,
+    0xa8abcc39, 0xd0329853, 0xb2c1f1d0, 0x174eb1a6, 0x3054bb29, 0xb6f71daa, 0xa485d930, 0x1a313dd5,
+    0x5fb60603, 0x83ab31e7, 0x03ff81a6, 0xd9ca13d8, 0x4a0a1108, 0xe9a69f32, 0x709d6cb7, 0xa455262e,
+    0xd6b7ac39, 0x13d08905, 0x4efe648c, 0x3be0af78, 0x3702f916, 0x3950eb20, 0x69daf513, 0x9f6bcef8,
+    0x6cfdf052, 0x19afeeec, 0xeabb4bad, 0x23431178, 0x681a1e4f, 0x0de5767c, 0x83199572, 0x2f082675,
+    0x00000000 }, /* 10**-00000000000000001860707134196753639806268948193291607945321883359534234320614\
+                          90990243657757029868371504908982723472783555205531204141550984858016925351936 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc,
+    0x92a6fefa, 0x30f4c5f3, 0x35e042c4, 0x55c18b83, 0xb682a938, 0xa5e853d7, 0x94236ff5, 0x346b565f,
+    0x00000000,
+    0x8a8a929c, 0xe1189a81, 0xb9b50827, 0xa1516422, 0x2ccbf551, 0x0349c1ea, 0x8effe10e, 0xf73c507b,
+    0xc8dee607, 0xc7c0effb, 0x5ac27224, 0xffb253bf, 0xf790cb82, 0x12be4729, 0xbfd35354, 0xce6845b5,
+    0x1666e84d, 0x63c539b2, 0xf420d574, 0xb726c960, 0xede0ea75, 0x16833e92, 0x63fb350b, 0x9c8e3a2c,
+    0x4fa89a75, 0xad70df7d, 0xb4341958, 0xa56c2293, 0xa792ae4d, 0xd3903531, 0xc8aa728d, 0x4d81a005,
+    0x624be82b, 0x75b8c8ad, 0x6ecfb699, 0x53bc31fc, 0xb03261ad, 0x4dd4336c, 0xfc7378ba, 0xf266d45a,
+    0x7e34549a, 0xab5663b5, 0x4d591e75, 0xa909d6a7, 0xa5ddeabb, 0xd95f83b3, 0xd8cd1207, 0x539bab66,
+    0x9e19e6f3, 0x703999f7, 0x4590fae2, 0x0ecebd7c, 0x6d2396e5, 0x88b517fb, 0x8e59375c, 0x640224a0,
+    0x11d01603, 0x2d296785, 0xfd706e8b, 0xabd589b1, 0xba7a8641, 0xf4d473a2, 0xe3e9e374, 0x44d18b5c,
+    0x6fcf1708, 0xf17101cf, 0x19dacb1d, 0xbe1bbb3c, 0xb07b9292, 0xcc6e2b8e, 0xeaeb58e8, 0x94a42559,
+    0x03aa05e9, 0xd3e67378, 0x5c84f7c5, 0xd08cdb84, 0xffcc6cfc, 0xe82147ff, 0x80e6fc79, 0xf8ba9bb6,
+    0x24d8d202, 0x1e1113dc, 0x53f105cb, 0x508d8b78, 0x76565549, 0xd6add2ba, 0x1829c7a8, 0x91d2262b,
+    0x570b1c22, 0x05f74226, 0xaa7e76ea, 0x1399cca6, 0x23566568, 0xdf155975, 0xf99d7151, 0x64cf12a6,
+    0x30c0cdc1, 0xfa7755df, 0xacaa2e3c, 0x7d02c934, 0x444dc52f, 0x4fbb2dca, 0x88f67af2, 0x94a0ff66,
+    0x49aa6f96, 0xb194a808, 0x01c4ee35, 0xa6c297b3, 0xdd84f1ea, 0x0a9f38b8, 0xc496412a, 0x603e5204,
+    0xbcf51b24, 0x025dfd4c, 0x584aff72, 0xcec9badb, 0x69230a49, 0x4b6183e6, 0x04849554, 0x1a6fe22e,
+    0xeddd9693, 0x65138ac4, 0xf7cbcbb5, 0x7d53621a, 0xf9a39a42, 0x13f1d827, 0x1cf9a459, 0xcbef41c8,
+    0x12c49609, 0xfd38b0da, 0xd5319b60, 0x2b539bf2, 0x28ec8538, 0x9838c6fd, 0xb8353d35, 0xd8060952,
+    0x5bae6a87, 0x70a73537, 0x8e4b2548, 0xfbd3a82d, 0x2d2b4f20, 0x5cf2567b, 0x959921a0, 0x61bc9c7f,
+    0xf5d33b55, 0xd3937925, 0x7d7d30f0, 0xa26fa9d7, 0x4d6c295a, 0xbffda95d, 0x028bf0ba, 0xd5c43f76,
+    0x5a0cd6f9, 0x346b90ca, 0x0fd3dc22, 0x08cbff83, 0x4f2ea21a, 0x20dfcb35, 0xf6463c9c, 0x00775ebc,
+    0x0e704c52, 0x6d2f2b3a, 0x709f86ec, 0x3c0e1d8d, 0xc0826c12, 0x218ff506, 0xcb335e22, 0x0035f3f7,
+    0x234e8d9d, 0x85ed64ba, 0x26461ddf, 0xb1a233b7, 0x712b6dd1, 0x381397b8, 0x2c36d713, 0xd811443d,
+    0x245232e5, 0xe3024e0f, 0x93e7bbee, 0x1d653afa, 0x0f7126f2, 0x7d134013, 0x51c49455, 0x5546a17e,
+    0xcbcca083, 0xf6825eb9, 0xfc4fc17f, 0x3363f528, 0xdce7be11, 0x08357f36, 0x4f5a65d1, 0xe2823b08,
+    0x9bc4825a, 0xbf9dce58, 0xf5a5a4bb, 0x42acdecf, 0xb53a21bd, 0x074e61bd, 0x110de042, 0x86cd890a,
+    0xfeb32c55, 0x0412396b, 0x338c359b, 0xd82b7293, 0x49a7692b, 0x518d33a5, 0xf6083251, 0xddfe5e2e,
+    0x9c352b5a, 0x3ce84327, 0xc03c0a47, 0x6d1b35c3, 0x403f89d2, 0xf68dbd20, 0x5a1a2d54, 0x8a1a9bd2,
+    0xc0cee787, 0xb2f18888, 0x964edd1c, 0x0d6e3649, 0x3c1535fb, 0x0f40a9c9, 0xf5b9f459, 0x8d7f6f95,
+    0xaba4cb81, 0x114a5041, 0xe44efad4, 0x9d6b71b4, 0xbe5cc005, 0x654197d8, 0xde6dc5be, 0x69949110,
+    0xf21c6991, 0x2437963f, 0x22b1d52d, 0x457be193, 0xbeaf06be, 0x2c4b091f, 0xf5761ac2, 0x242c2cdd,
+    0x76510176, 0x8e469d92, 0xf2c1cc00, 0xd697bb88, 0x5abd8c0f, 0x33261b2e, 0x5e9c6964, 0x53364e48,
+    0xf56f2974, 0xa816fc12, 0x64822418, 0x984cfd21, 0x2b4d9c81, 0x63bfde59, 0x8811d0e4, 0x68fbd2ca,
+    0xdf790d76, 0x90fa4b0b, 0x47622f57, 0x61854c30, 0x21cc911f, 0x717b6ba9, 0x66a6e6b2, 0xda56cb60,
+    0xabdc2384, 0xcd5a0e62, 0x11cbc10a, 0x1c50501f, 0x440022b1, 0x39852fc0, 0xfa4c45a4, 0x77eb710b,
+    0xf3780a36, 0x3b82d39d, 0x9f6bbbc2, 0xa6213142, 0x81feb45f, 0x7c446365, 0x646568a3, 0xf1932c94,
+    0x83278438, 0x4fd91f5c, 0x733a5d8b, 0x4b641919, 0x9d0cfe0e, 0x7525e28a, 0x9035d788, 0xd6873542,
+    0xa867ac2f, 0x940dcf0a, 0x7f9da96e, 0x73988331, 0x317eb14d, 0x403cdd2e, 0x70ef9172, 0x4f92c3c7,
+    0x5cae4955, 0xa4149c6d, 0x8ec65198, 0x40b4e81b, 0x91336119, 0x32c960e5, 0xf36cc8fb, 0xdf3b7d93,
+    0x2f352f33, 0x092cb01f, 0x60abf89b, 0x8906394c, 0xee6bedf7, 0x83d06953, 0x2245d5d9, 0xf3c51fb1,
+    0xb822b98b, 0xb07d9edf, 0x68be9ea7, 0x7e6893b6, 0x257922c1, 0x589d59b8, 0x9ecce52f, 0x1d2ac3a1,
+    0x43a38838, 0xafd29187, 0xcd463fed, 0x93c6ce10, 0xa5ef979f, 0xe44897f2, 0xb6c47c30, 0xcfb41ec0,
+    0xbd983b8c, 0xaa83c863, 0xafb68c35, 0xbae74bae, 0x6f728c78, 0xffcfe6ba, 0x3dcdd853, 0xa7cb6791,
+    0x8779b660, 0xe5ebec41, 0x2e83b770, 0x4594a288, 0x98d50e14, 0x65021253, 0x8e276292, 0x999dae01,
+    0x88dd3113, 0x0cc90aa7, 0x6a211158, 0xb8d0e68a, 0x05b3b8bf, 0x91f50a7e, 0xbfb0e8fa, 0x69b52c71,
+    0xbcd007e9, 0x398d90cc, 0xf4aac56d, 0x7c5ebba5, 0x9807503a, 0x6490eebc, 0x172065e2, 0xc3ac609b,
+    0x67a1654f, 0x3cc706a9, 0xcb6a7852, 0xfdc27409, 0x34b8d3f2, 0xf51695f4, 0x018e1fb4, 0x4f6583dd,
+    0x60f241a6, 0x27a01b79, 0x242fb40e, 0xebf79d44, 0x60aa6fd4, 0x003fac40, 0x9be5ecbe, 0x4e58416a,
+    0xfc747871, 0xf0eeb932, 0xd1cf9c8e, 0x1fcac730, 0x0d4aa0e3, 0x8171bfd1, 0xe94fad57, 0x063f1d56,
+    0xab16fbe2, 0x2e2faafb, 0x40e7eb40, 0xd7aea9e7, 0x356f7583, 0x9255f2ba, 0x8768c06e, 0x9bdb531c,
+    0xad6fa18f, 0x70921509, 0x389f5933, 0xe99b5e86, 0xaa3ee717, 0x648e19eb, 0x34fc77b7, 0x2ea47978,
+    0xfbce9efd, 0xa8f9f28e, 0x43474b27, 0x8062c7d0, 0x85e9bce0, 0x04392128, 0xe491b234, 0x98fabd8c,
+    0x348fe284, 0x9c47b624, 0xae332835, 0x84db3648, 0xe42f1a81, 0xf5462f15, 0x51aebdcf, 0x8ae400bd,
+    0x82b462cb, 0xdbbc99b0, 0x3bb13487, 0x53a06d7b, 0x77472ebe, 0x46717510, 0xef0f1d0f, 0x94649c1d,
+    0xad15d0b2, 0xdd26b16f, 0xc4f097b0, 0xdf1088e0, 0x8b8923de, 0xcb5b475b, 0x5ef8781b, 0xe64166dc,
+    0xe0afbc4c, 0x56989515, 0xda14fcfe, 0x36c465a0, 0x3b46f3a9, 0x80b3fcfc, 0x57bdceee, 0x1af9a441,
+    0x8e6b526e, 0x759c55b9, 0xdb58cbb7, 0x5133b342, 0xffccef7b, 0xe8c7dbc7, 0xa9d0b48f, 0x69ecfbcb,
+    0x5bd89a98, 0x0a78d113, 0x5e34ae06, 0xa868caec, 0xe9086546, 0xcc606b04, 0x97fa52f3, 0xa444e375,
+    0x5647b0d0, 0xf5d72a0c, 0xc7021f6d, 0x14338b25, 0x0cf031fe, 0x63b86ba6, 0xaef9317c, 0x54a23089,
+    0x1c1776bc, 0xab129eb2, 0x1976463d, 0x6ab05ca7, 0x64d483b0, 0xef7852c5, 0x37d96357, 0xeef65fec,
+    0xd0d4984b, 0x5df514b5, 0xc5463e5b, 0x9bf79a10, 0xd39fa524, 0x11441366, 0x1cb7d7dd, 0x7ce94337,
+    0x1aa11ead, 0x8c29f50a, 0x836388be, 0x5a001f1f, 0x0dda5cf0, 0x1040a781, 0x17d08453, 0x45f75128,
+    0xca83d1fa, 0x6c4ad01c, 0x9ec89dd1, 0x17093668, 0xcd2ecb90, 0x3b53203b, 0xfdeaac0d, 0x0e7cd566,
+    0x826b335b, 0x6b373ac3, 0x7904b205, 0xeb8a9304, 0xad9e8976, 0x46bd5fca, 0x71bf6a19, 0x2c1e3c8b,
+    0x793cb3c8, 0x32873947, 0x66912381, 0xc5c7b1dc, 0x70b89bd7, 0xb56d2bd9, 0x998a8398, 0x0e6f2bc9,
+    0xdfe894f9, 0xeaa14d6a, 0x7815d7ee, 0x60ed197e, 0x5c8f798b, 0x2df04d15, 0x65631720, 0xddeecd3f,
+    0x7e36f42e, 0x59eaecc9, 0xe8628b88, 0xa3cc4588, 0x131ba3eb, 0x2a86fc06, 0x34e31bc9, 0x7e662a77,
+    0x06305568, 0xf8680c91, 0x29f6a62c, 0xb6c197e1, 0x29f75e18, 0x82000135, 0x44175923, 0xd2bf1b5b,
+    0xa766b5b3, 0x351d1324, 0x7127289e, 0xd5f8c7fb, 0x725eeefb, 0x3491dfe9, 0xeb1ddd30, 0x8796ece1,
+    0xe500275f, 0x858dace1, 0xff9ec66a, 0x196c686b, 0x5ec33946, 0xf547e324, 0x3687eb54, 0xd00ee850,
+    0xc7bf85a0, 0x2d09bb42, 0xf9bc0876, 0xa0b56875, 0x701a1dac, 0x68290e91, 0x0162618e, 0x3ca53fa9,
+    0x917cf5dd, 0x7f636431, 0x0d9bebce, 0x4cee2c96, 0xe503b068, 0x668349f7, 0x597219ed, 0x6a9e992f,
+    0x0b44cbff, 0x9ce6b533, 0xad47a1a1, 0x726954e2, 0x6b7e395f, 0xee27b993, 0x3afd089c, 0x948c3217,
+    0x5a63c5c9, 0x42522020, 0xc224dd3e, 0x8d1a0a67, 0x002df5fc, 0x0285f39c, 0x81e95b7a, 0x5dc2002e,
+    0xb6face9b, 0xa0011cc3, 0xae2bfb28, 0x56128b7a, 0xf9408bbe, 0x09d87ed6, 0x42d4842a, 0x82cffe98,
+    0x5590b8bf, 0xa617340c, 0x935bd58a, 0xa113a0b7, 0x86cb6aca, 0x57963a50, 0x9c6c36ac, 0x787d70e0,
+    0x230e6c45, 0xba51ceb1, 0xf44a70b1, 0x186a4b0c, 0x61292f1a, 0xeb95f81c, 0x302df0b6, 0x8cf2d48c,
+    0x33623c28, 0x15d2b39d, 0x851d1b75, 0xdf28fce6, 0x103b16a7, 0xfa8461ba, 0xf5259949, 0x12c6a071,
+    0x6561ed0f, 0xde22fb3d, 0x4fa15e06, 0x7f02c067, 0xa5ba3340, 0xa687500e, 0x36af458d, 0x87a4ebc6,
+    0x15d02dc0, 0x6795327a, 0xb3aa30f7, 0xcb423908, 0xa725d7d5, 0x3e66b73b, 0x5c6f3ad4, 0x01c148eb,
+    0xca66b13a, 0xd20fccb5, 0x7d0bead9, 0x085213a9, 0x62d3d052, 0x20b3f580, 0xe461645f, 0x8e600263,
+    0x1bdfe525, 0x48dc5048, 0xbec45123, 0xfd10dec4, 0x1ee29555, 0x928f028a, 0xce2dc51e, 0x9b7c1e57,
+    0xba7bc0e0, 0x42221ad7, 0x52d168e7, 0x42da4e8c, 0x05b4bfd8, 0x51800493, 0x978df374, 0x0e099230,
+    0x4bcbd4c1, 0x41540b55, 0x60752df2, 0x6e2bafb8, 0x026983a1, 0xad8d8a34, 0x1de9e42e, 0xff27b1b8,
+    0x3a7acc93, 0x04e9ff27, 0x36f9f4e0, 0x15648500, 0xf7385f62, 0x1ab47944, 0x7bcd5de0, 0x225dc3b7,
+    0x17f2a8b2, 0xbc16b9d5, 0xdcedcf19, 0x926edde5, 0x3de1e27c, 0xd45d30a4, 0x7f8364cc, 0xa5842c14,
+    0x9c7d8b4a, 0x188cd1b8, 0xe73971c2, 0xbd117b01, 0xa1678b06, 0x02e85785, 0x08837066, 0xe2b7c5c9,
+    0x6e0fb161, 0x919e450b, 0xa6601d34, 0x588c4318, 0x868e0828, 0xb52904c2, 0x6b8b5ce8, 0x7b8e2546,
+    0x4d19c4e7, 0xf3571a88, 0x484550be, 0x80d13a58, 0x1ad41e21, 0xae4ea44a, 0x6c74caa0, 0x86eeaf39,
+    0xb348a99c, 0x3f2fb9b8, 0x0bfe8531, 0xb160d92a, 0xf3640e98, 0x66ef013b, 0x62d4de28, 0x113dcc3e,
+    0x6878dd89, 0x3dedf4f6, 0x3bc51aca, 0xbd5e2418, 0x0183c11b, 0xc218e5f7, 0xd2b9bfa0, 0x4bc261ba,
+    0x3c29f797, 0xb65a0d88, 0x537cc2c3, 0x2e3335e5, 0xba7acd32, 0x1d76e36c, 0xa9c1578a, 0x6fdde344,
+    0xb4a2e63e, 0xd7568df2, 0x338dccc4, 0xc1be17fb, 0xdc1db2e4, 0xc41ac2ac, 0xcd43f24f, 0x8378e2e0,
+    0xcd97ea6b, 0x786f0fd1, 0x7c16ed1e, 0x050fef8e, 0x48f5a0de, 0xd15fa942, 0x866e7aef, 0xe3fef1d8,
+    0xa9a21512, 0x6a005015, 0xbc755216, 0xea41ddac, 0xf11916d4, 0xf7f7ec7a, 0x9feebeb4, 0xf279bfee,
+    0x6f5a5a6e, 0x7764f59f, 0x6217c07c, 0xcc80d189, 0x5835fcb2, 0x728126ea, 0x556d906b, 0x44d3e13c,
+    0x9f126484, 0x2f4d3990, 0x71525894, 0x67e7c394, 0xf6040d20, 0x720e435e, 0xb1dea4a4, 0xa6c041c3,
+    0xe422d919, 0x0031fa8d, 0x9307aa3a, 0x305a1805, 0xfbfb7354, 0x2eda12f8, 0x0a9c9bd5, 0x3cf72d63,
+    0xb06370ba, 0xc2cc185b, 0x83647954, 0x18e117e2, 0xbb7b68ba, 0x99e115b3, 0x93625374, 0x4ac2dee5,
+    0x31068399, 0xa17ffab1, 0x31fd6c2e, 0x52dfb467, 0xf43b24b3, 0xd96cd4b8, 0x1c724741, 0x62058f6f,
+    0xfe31eecc, 0x2076dd79, 0x125b9d0f, 0xad865632, 0x11f30d83, 0x37851a87, 0xb6048c72, 0x6e3b8295,
+    0x394baeb2, 0xc5013217, 0xcd941349, 0x60d0d271, 0xde038ec3, 0x65214c8b, 0x1acff6e8, 0x52251d84,
+    0x58b3c30a, 0x66473f1e, 0x6db4c5b8, 0x27c79ff7, 0x0abe8f3d, 0xa40463e8, 0x72730f23, 0x107883d4,
+    0xdfff05da, 0x542c14d0, 0xf7561a17, 0x6793bb69, 0xeb5236d3, 0x37ef8557, 0xa6b989cb, 0x4d848b77,
+    0x7a6df4cc, 0xdcb57522, 0x05c4a0da, 0xfee1b298, 0x1f0cb2f3, 0x150e652e, 0x1bc8e6fe, 0x5a2e7386,
+    0x89f40eae, 0x9c62748f, 0x310d1d18, 0x42671950, 0x2de15f29, 0x277df3b0, 0x3cddd4f2, 0x7e9830e6,
+    0xff99747b, 0x13484658, 0xa610a2b5, 0x68bb07f8, 0xad5d7e43, 0xcf2ff525, 0xfd81093c, 0x10c1ff83,
+    0x3a7877c1, 0x11673cde, 0x3d127b64, 0x801f9732, 0x9b0b3a0f, 0x5ca17818, 0x8c82dcd7, 0xa10de622,
+    0xdf9fc9c8, 0x5d718586, 0x506290b1, 0xf2d65265, 0x095ea04d, 0x8c137641, 0x61997b81, 0xa4ab2120,
+    0x194ec244, 0x4f61182d, 0x37be6f58, 0x626a2bd0, 0x8e5a4150, 0x1fc038a8, 0xfe24a15f, 0xe5700b4d,
+    0x299fb458, 0x893aac64, 0x289913ce, 0xdb1f379c, 0xcd3a25f1, 0x77f7274e, 0x5c5cb504, 0xb0b01115,
+    0x2c4047ff, 0x6f4d56d4, 0xa26fe8bb, 0x045aa828, 0x4de67ffe, 0x68770303, 0x71a5d32e, 0x0541f086,
+    0xf86a2fc5, 0xfbaab411, 0xfca39eae, 0xc36aa281, 0xf4d35d8c, 0x58845bb6, 0xdad7b7f8, 0x2b7104ee,
+    0xdfc57d96, 0xe61c98be, 0x091c3977, 0x1273beb5, 0x79025dc5, 0x1bf85afc, 0x13a6c9e5, 0xee1126d6,
+    0x4a9dcaed, 0xdad58ad5, 0x7f7b1ff0, 0x7140a9b8, 0xb5e18538, 0x076d7dd9, 0x0d422a8b, 0x2816de88,
+    0xc4a318b2, 0x5f48caf3, 0x4b4fa768, 0xf802a204, 0xc9894a00, 0x2e6ffb9a, 0xdc94e9f0, 0xb590b3f2,
+    0x6bd62c11, 0xb106e5ec, 0x6546d6a7, 0xbbaf6c28, 0x2636a1da, 0xa52d842e, 0x1be9089c, 0x4f102ee9,
+    0x586e8d03, 0xf94ac04d, 0x4621d72b, 0xf3378d43, 0xa34947b8, 0xcbe5e4c6, 0x81c278c7, 0xd3c73664,
+    0x180fd06e, 0xccd6a540, 0x4906a6bd, 0xfc0b2d03, 0x36191a21, 0x98feceae, 0x6913c023, 0xba40705b,
+    0xe4ef6e58, 0x13664d5e, 0xb9991313, 0x4836d719, 0xf88e8757, 0x09d442ee, 0x3e2e2a69, 0x28940e10,
+    0x7fd0097b, 0xcbd30755, 0x43e4ecf9, 0x70ef616c, 0xa249864e, 0xccdb5c46, 0xc6c66de3, 0xd4e4e527,
+    0xe63bdfda, 0xfb3681f5, 0xb349d1c0, 0xc287e63d, 0xd837f70e, 0x691a4a8a, 0xe7362843, 0xf9659cbf,
+    0x14a2920c, 0x8176df75, 0x0c4b9617, 0xfb425eb3, 0x54b55619, 0x2f2ac2f6, 0x28ba472a, 0xd4486519,
+    0x3bd15bad, 0xf9917a49, 0xdd03f616, 0xe9fd21b6, 0xe650c729, 0xed3d74e2, 0x86adca73, 0x8391e37c,
+    0x6448e6ab, 0x2a6a05b0, 0x850bafb9, 0x7cc859bf, 0xcb4fe50e, 0x75dd3159, 0x6f615477, 0x82532370,
+    0x69f3393b, 0x21ba7d11, 0x339c77e4, 0x05eb5882, 0x18132080, 0x1ad92abe, 0x7b5c5d0c, 0xc769fc30,
+    0x5afde839, 0xa9c55dde, 0x83e20d04, 0x01f8a46d, 0x2e35de9a, 0xe5dae405, 0x979e87b6, 0x63b9f78f,
+    0x00000000 }, /* 10**-00000000000000000930353567098376819903134474096645803972660941679767117160307\
+                          45495121828878514934185752454491361736391777602765602070775492429008462675968 */
+  { 0x00000000,
+    0x3fffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e,
+    0x49537f7d, 0x187a62f9, 0x9af02162, 0x2ae0c5c1, 0xdb41549c, 0x52f429eb, 0xca11b7fa, 0x9a35ab2f,
+    0x00000000,
+    0x852a9845, 0x69185df7, 0x99bd0285, 0x95172cf7, 0x5f608ee4, 0x56215744, 0xed82128c, 0x7b08595a,
+    0x28f43659, 0xa06b39fe, 0x0c94c245, 0x5e178756, 0x2bcabe61, 0x3165f51f, 0xd7b781a4, 0x8521b173,
+    0x1906598f, 0x3f12fcc0, 0x3d02fa3f, 0x6eae8e11, 0x02c293b6, 0xc9833d21, 0x6511b5fe, 0x64b0da00,
+    0x1eeb87d5, 0xcea6caba, 0xe8f01ec5, 0x007ee5c9, 0x23754e1f, 0x87ca252c, 0x3d540a57, 0x9b5d3715,
+    0xa7fc7f77, 0x256716e2, 0x42274d5c, 0xcffea82e, 0x6735ce2b, 0x9c655f0d, 0xb86e9bac, 0x3c24830b,
+    0x42b2a38c, 0x24b1aee8, 0xb834b92d, 0xc876118b, 0x0f7440e9, 0x0501da50, 0xce418062, 0x23d7bf9d,
+    0x058de061, 0x82648643, 0xecb9ea1e, 0x8d25931e, 0x6b995dd2, 0xf28f2a32, 0x338e28bc, 0xb4b06f39,
+    0x8f397bf2, 0x6523727d, 0x4d0e014b, 0x1133a703, 0x7f1994d8, 0xb26a44de, 0x2d03035c, 0x4d875021,
+    0x0ddb8e47, 0x880cb0d1, 0x0394da09, 0x376bb656, 0x27ce632a, 0x1f326922, 0x5852415d, 0x90cdd444,
+    0xb53f7497, 0x1a6923fa, 0x7492705a, 0x36f593f8, 0xdc7fe480, 0xe4a4bb2b, 0x541da083, 0x361c4de4,
+    0x9e136172, 0x2a989613, 0xd6873a4c, 0x17e3cd24, 0xd39a9ac6, 0x723cdeda, 0xc8e5c6c3, 0x7ba0f1f7,
+    0x0a6305f7, 0x1723b873, 0xcbd1924b, 0xa5bc94c1, 0x324c0bdf, 0xa12c12af, 0xa38eea4b, 0x0cc8d178,
+    0xbf57dea7, 0x4593f3bd, 0xe3cc20c4, 0x30d94b46, 0xe36de3b9, 0xf9446ce6, 0x39c71040, 0xee521e7a,
+    0xc6a82823, 0xbf384d49, 0xa7085644, 0x8707f28d, 0x0412f5e3, 0x541861d7, 0x5be212c0, 0xbfdda60a,
+    0xdb8d2094, 0x678512b4, 0x7224a698, 0xcbdf68a4, 0xaccaf001, 0x9cd7c091, 0x28840b9e, 0x14d84f71,
+    0xe28b4791, 0xe580dabf, 0xcf9868b0, 0x382d4ceb, 0xecf39934, 0x64b5a2af, 0x230317cd, 0x1a1c3d39,
+    0x2d5d23b9, 0x5743c0ee, 0x8fb96c78, 0xe3af3d83, 0xc4022da0, 0x75baa653, 0x23f4fe5b, 0xddcf7711,
+    0x03667a46, 0x466059da, 0xcc45e094, 0x3ade6ccd, 0xd9d94c63, 0x4021f56e, 0x0b97b262, 0x5d022b91,
+    0xfbcb4fb6, 0xd6aad780, 0x81594f0d, 0x362a0bbb, 0x7b41b4e0, 0xcf95831a, 0xab9e8161, 0x8bf74a75,
+    0x93cfd290, 0xf63fc870, 0xf9f92e62, 0x3a16c85f, 0xb9089952, 0x28749b64, 0xb0882393, 0xfc7fd669,
+    0x720f3bb3, 0x23b37361, 0xe5ca4f11, 0xb93308f4, 0x5abb3e03, 0xc4de07b2, 0x1e67f260, 0x5ff6cf7d,
+    0x37240e46, 0x18cad1d6, 0xa78531b6, 0xc314be50, 0x910206c1, 0x53aeba4a, 0x6ff83121, 0x18f01578,
+    0xd7f607e4, 0x7d8caaef, 0xacd3a08a, 0x19309fe5, 0xcc73ea5d, 0xf2f0596f, 0x61b6ff26, 0xaccc2107,
+    0x9b0a2dbb, 0xe3fe3ed0, 0xbc742837, 0xf303fb46, 0xd72a5715, 0x74b3554b, 0xf4aec8c2, 0x213332dc,
+    0xee005c34, 0x300eb143, 0x8b6bdee6, 0xe1b40799, 0x2b162e13, 0xc13031d7, 0x4a34bd0d, 0xc9814fcb,
+    0x717ad9c3, 0xdc85a869, 0x6010b7b5, 0x7439f7e1, 0x5faeb2d9, 0x4e00e547, 0x6c33b82a, 0x24f332b3,
+    0x8fd97d50, 0x82420a17, 0x8c5e7331, 0xcd099691, 0x839c45da, 0xf8bab050, 0xed9bd93f, 0xadaf6d8a,
+    0xdc985f05, 0x291c45ca, 0xfb7cd6e0, 0x79b5c4b5, 0x4df42e34, 0x1bb7b64b, 0xbecd2dbc, 0x4212c87e,
+    0x95caa5a9, 0x2def6df8, 0xae5127e7, 0xead1707a, 0xa041caea, 0x74c06dc1, 0x47e5d70e, 0x2edc85e4,
+    0x50d8cb08, 0x848d66d9, 0x948832e7, 0x0ec2835d, 0xed81ec13, 0x554c1bdb, 0xbb1e5b61, 0x78bcbf0e,
+    0xb59aa31c, 0x7da31392, 0x7f31bfe2, 0xf1af3f2a, 0xe45dd2ee, 0xf45875e1, 0xb0454331, 0xc65a1dbd,
+    0x08295bb4, 0x4838eca0, 0xc9817c15, 0x54b7d6aa, 0x7a22ccf9, 0x775858d0, 0x63ad4ed6, 0x572a0f6f,
+    0x90529d08, 0x1b747bfb, 0x761aef9e, 0x041a257c, 0xe5a7ba8d, 0x0fb7b4f7, 0xa97c09c6, 0x31acecc9,
+    0x585138db, 0xc35ade9e, 0x8d224acc, 0xff2ae950, 0xc532f1dd, 0x8fdb7498, 0x6fceedc1, 0x421cffd1,
+    0x3edc7632, 0xa68f2e53, 0xb1c031bc, 0xb8e6abff, 0xfb0ecca0, 0x727a3c9f, 0x0a1f2584, 0xcf127584,
+    0x28c872ad, 0x65a5bf1a, 0xf0a0a867, 0x9def353f, 0x79bbf2d5, 0xbcbccf89, 0x380ea110, 0xef35277b,
+    0x7567bd3d, 0xd64be51c, 0x99330cb4, 0x6a0a3b5c, 0x93830e21, 0xd1e883c7, 0x8e50346e, 0x6f089561,
+    0x92cb0182, 0x8567c37f, 0x7e72ec7b, 0x02c4547f, 0xe6743664, 0x1481d37f, 0xdbfa3935, 0x8cf0c1ce,
+    0x412d0853, 0x6eeeffb9, 0xa1135227, 0x7b77f33b, 0x8fa53bed, 0x3f3b663d, 0xedf442bd, 0x3e146802,
+    0x847db7ba, 0x96a82fcc, 0x46a4943c, 0x76da6006, 0x4be134ea, 0x87e98ae1, 0xb123223f, 0xe2e5d900,
+    0x896646f1, 0x2e1e5d1d, 0x2b46081a, 0x7e1e0dfe, 0xdd6cb0b6, 0x798c5b17, 0xf890049b, 0x536fd237,
+    0xb18ac786, 0xdfbd6dd6, 0x74244904, 0xc931d8e5, 0x631c2271, 0x2fc741cc, 0xef732a91, 0x317a05a8,
+    0x2de49d41, 0xc35f9d29, 0xf7f60154, 0x7f99f4f6, 0x82eaf726, 0x719546a7, 0x26247f46, 0x6187e891,
+    0x368cd71c, 0x7c88a82e, 0xd7f3120a, 0x90d4b801, 0xba25a523, 0xda0b0a60, 0x22f043e9, 0x4b9dcd95,
+    0x50ff7167, 0xed3f8c2e, 0x7afa1758, 0x49d21cf9, 0xfb1a3b49, 0x410ccbd6, 0x29c1debf, 0xb003c95c,
+    0x7248d4d8, 0xd3378e7b, 0x24b1cbe2, 0xd72ce521, 0x1aae3f21, 0x751e69b4, 0xbd0f4daf, 0xad3f2c17,
+    0xf1aae7bf, 0xf82b3bbd, 0x0a4acc75, 0x4b6fb174, 0x966a4fd8, 0x7072d7b0, 0xb813c822, 0x0cf1d2de,
+    0xca8a5256, 0x6a6be5a7, 0x63008cab, 0x036ea482, 0x80e66b72, 0x15cdc63a, 0xa9740e9b, 0xe33284ba,
+    0xad9f5730, 0x3136cdeb, 0x254567d2, 0xd99000bc, 0x2c29999a, 0x617f29eb, 0xbd9c0812, 0x4b05b313,
+    0xbae5961b, 0xc45bf9b6, 0xd34bee91, 0x08b6f24c, 0x95c0dcd3, 0x98770190, 0x720a985b, 0x19531523,
+    0x12e5caff, 0xd5f8cf2b, 0xf5c185db, 0x6029c050, 0xe0ca2416, 0x5a321cec, 0x75ac5eed, 0x61124fa3,
+    0x1c05a730, 0xdc43110f, 0x384ae71c, 0x47b7f475, 0xb72e8127, 0x473e8ff2, 0xe402db0c, 0x190c3e87,
+    0x601cd5de, 0x0f9cba95, 0x3fe0391c, 0x8f52e15f, 0xbd7511ee, 0x6fa13fa4, 0xab557eaa, 0x63171b65,
+    0x26fcf052, 0xf99c74b0, 0x3d7090e2, 0x1b63be56, 0xd55dddfe, 0xe303341b, 0x1e06c45a, 0x5f1c2f12,
+    0x7be66c51, 0xab07a5ef, 0x3563c635, 0x434b872d, 0xdc181e0c, 0xcd776293, 0xa4f231c8, 0x949a554e,
+    0x57ed7634, 0xe5425002, 0xb2cd9c6c, 0x0135f7af, 0x0f39e510, 0x5b7bf917, 0x6e658e69, 0x363df668,
+    0x54db8100, 0x02a8265a, 0x0fe76212, 0x29e0a86b, 0xb011ede3, 0xccfdaf16, 0x2601da87, 0x2b684f5e,
+    0x53636d79, 0x5eb46ca6, 0xfa15f9cc, 0x574c52a7, 0x3f673f4e, 0xb580b5f3, 0xb1a8e34b, 0x1d6b84df,
+    0xc6264d74, 0xe655f271, 0x480118f1, 0xbd9badc6, 0x8d5c6770, 0xc812769b, 0x75804e16, 0xd3816589,
+    0xb9d83f97, 0x3d8989ae, 0x9f0ea94a, 0x7b944dda, 0x936ff2cc, 0xbc540072, 0x1dc08a4e, 0x5271e4cc,
+    0xfbc7bd01, 0x42e8c34a, 0xb09ea6b7, 0x7fcceb15, 0xb0b0b0cb, 0x6aca8b9c, 0x9cdae95a, 0x5e4384f6,
+    0x91f6159c, 0x316fe293, 0x5a1167ea, 0xf5ec4565, 0x21cb7ea1, 0x9af88347, 0x5e076911, 0xaf10878f,
+    0xc77597df, 0x70f5c50c, 0x6983828c, 0x9b9b8afa, 0xc1052a6a, 0xb7a2a1ad, 0x2a7dadf1, 0x3b2d6a58,
+    0x1012412f, 0xc94ebb5e, 0x3d54d63a, 0x39b4333d, 0xf7e6acac, 0x91cf7b3f, 0x0a5e7137, 0x3a68475d,
+    0x72e6a4d1, 0xb891be75, 0xbe34b57f, 0x1dffc6bb, 0x4a404ac5, 0xbd29103b, 0x6dc4d356, 0x1d4c9a5c,
+    0x2bf85fd6, 0xde7d8ac5, 0xadf42e0a, 0x0722afe8, 0x05ac7b3d, 0x8ab76527, 0xad6ba56d, 0xc8a0d470,
+    0xcfa682e7, 0x1e692f63, 0xa81b96f5, 0x50d7e4ba, 0x11bf0403, 0x70752f54, 0x02ab276d, 0x9b604741,
+    0xf98c7f32, 0xbf127578, 0x39736a4f, 0x0f1cea59, 0x27bec123, 0xd956dbe6, 0x190ff794, 0xd6fc90e9,
+    0xa212ca44, 0x618e5371, 0xc57430f7, 0x6c7b5696, 0xdf95da95, 0xeef38026, 0x3cabae0c, 0x6f824966,
+    0xedac5415, 0xfb869180, 0xf147668f, 0xe24b979b, 0x364744de, 0x3f827216, 0x3b7e5df2, 0x440f11fa,
+    0x9046b026, 0xa647c611, 0x0992b2ac, 0x07a3c7cc, 0x69a8eab9, 0xea0efb7b, 0x4b114a6f, 0x80ea949b,
+    0xa84dc4b2, 0xd6f0a92c, 0x2bcaa361, 0xb80f5199, 0x63186da7, 0x73eff745, 0x277cf338, 0x1ef1ea55,
+    0x4b1b262d, 0x5ffebb76, 0x14222ce8, 0xe5a238f4, 0xc4cf427e, 0x097d54bf, 0xfbfdab8b, 0x2f5488ab,
+    0x016d2723, 0x14f69a6c, 0xe4397f92, 0x6b44fe76, 0xb2adb8d5, 0x5f4bbe87, 0x51c7f92e, 0x07155ba1,
+    0xfb76ba11, 0xbd23508d, 0x0c3fb5a3, 0xb522cb1f, 0xf00d4768, 0x0710638a, 0xad4e68fb, 0xf33f1014,
+    0x1655a7d3, 0x21caafb2, 0x30dcc41b, 0x783f37e1, 0xf9b2ff70, 0x7991b8e2, 0x154b5c86, 0xa10f23d5,
+    0xfe40f33f, 0x1ad6186b, 0xa8070b5e, 0x1c4f9efc, 0x1b403177, 0x7e5777e1, 0x5101ac02, 0x37a92c74,
+    0xa7dfd1a2, 0x5262b6a6, 0xe9c95704, 0x32f010de, 0x40f777a4, 0x479990c6, 0x4b101293, 0xa2a07312,
+    0xc4ec3afd, 0x639d3172, 0x3fba1240, 0x5ea397e7, 0xbd404e83, 0xbb81a0d2, 0xe6b47823, 0xc8b192bf,
+    0x6f74d236, 0x17a10362, 0x6b84b609, 0xb958f949, 0x9533f4e4, 0x2b32c353, 0xd979dfbe, 0x468059cc,
+    0x4f186963, 0x9e0d6b7b, 0x9b83a164, 0x565bd6b3, 0xc59e3a39, 0x9d59451c, 0x9a7c5c4f, 0x205212b9,
+    0x333980db, 0xadbaae2a, 0xe5888606, 0x4ac06f29, 0x33571a1e, 0xefddb073, 0x35cac96d, 0x4e0e535c,
+    0x30aec5b0, 0xecc85831, 0xd2025be1, 0x5886874e, 0x63c2da33, 0xc7082dbb, 0x21d0bce8, 0x8f9fb89a,
+    0x87b1718a, 0xaa6cb3bb, 0xfe78ba10, 0x687f3840, 0xa45ff9fe, 0xa8e6cda5, 0x424b398d, 0x9288c388,
+    0x8c9172b9, 0x3f39a63b, 0x865eeac3, 0x03edfc5f, 0xfe299681, 0x8e32180e, 0xcae6b513, 0xec2385d6,
+    0x0f38536f, 0x33d54ebd, 0xcbccc390, 0x5fc0e388, 0x39aa2ad6, 0xe8bc7c1e, 0x37c7eb5f, 0xc206818d,
+    0x5ff68b5b, 0xb1ab122e, 0x814a23a1, 0x3e256d7f, 0x06d710a6, 0xf70a39bd, 0x4038a989, 0xf9ffde8f,
+    0x7cd3c35b, 0xdb33c026, 0x267f5748, 0xb3477099, 0x2960119a, 0x2ee64417, 0x69b4ea8f, 0xb27fe5fa,
+    0xafd0ffdb, 0x3b55cd0f, 0x9f4949e2, 0x28f95775, 0x28510883, 0xede47e78, 0x7b2e193a, 0x7250d87a,
+    0xa167033a, 0x06b86dd4, 0x53412984, 0xc7c06f56, 0xc27e489a, 0x0ce66f50, 0x037976bd, 0x3b8ffa55,
+    0xb14c76e3, 0x5916b5ab, 0x902f91d9, 0xc3688319, 0xdf1609a4, 0x3366af24, 0x86a748cf, 0xc9801d82,
+    0xe66dd914, 0x47182252, 0xc61c4639, 0x166a0bab, 0xf00711a3, 0x8a3f46e5, 0x96df74db, 0xa656f1dc,
+    0x3f1e82f0, 0x7d9db51c, 0x2a07493c, 0xe81baceb, 0xb080f436, 0x266af598, 0xda0e46c8, 0xea19679a,
+    0x3ef9f57d, 0x9e692ee7, 0x201237dc, 0x2a4116dd, 0x913b904e, 0x1a7f54b4, 0x18c6ed0d, 0xcae43507,
+    0x9e9ae838, 0xe4a32a25, 0x43ea2e76, 0x4a4bece8, 0xfd27ad76, 0xa155480f, 0xa452020b, 0xafa0f8ac,
+    0x8221b372, 0x31d8cd4e, 0xa6d40c02, 0x46a14b63, 0xc9462fa9, 0x19ff9823, 0x8da29b2e, 0x286ed8e0,
+    0xe8b67760, 0xdfef3a2c, 0x2691a2f5, 0x322043fc, 0x608bf22a, 0x3ad5d8b0, 0x58257cd5, 0x8e6a64f5,
+    0x30cca743, 0xdeddfc48, 0x437c0d9b, 0x29753bfb, 0x0cc75818, 0x77c9a9e4, 0x3c25c865, 0x79bc21f8,
+    0xd5ce20fc, 0x10e982bd, 0xdb77f02c, 0xc0f83665, 0x1b84ce78, 0x09ef759a, 0xfd52ba12, 0x9853e8a9,
+    0x1ac357bd, 0x21067d57, 0x44e568c7, 0x5b985cac, 0x5dfc9d13, 0x0fd71d98, 0xf19edbcc, 0x72b0322d,
+    0xc50f8819, 0x587b067a, 0x2ecf3393, 0xf5a23edd, 0x094b6337, 0x8aadb16f, 0x0ef2ad3a, 0xe04f7916,
+    0x192a04aa, 0xeef2774b, 0x416c8b48, 0x0a9b1456, 0x8866deb7, 0x6b1c58a6, 0x4beacf6f, 0x26642c0e,
+    0x8b94d19e, 0xc873e381, 0x5787d12c, 0xc2faaae0, 0xadf4f235, 0x94926482, 0xf3a8e4dc, 0x9bcfa08b,
+    0xd000a80c, 0xbf061aeb, 0xee80a39e, 0x260a6919, 0x92736643, 0x7f9d8d27, 0x68c7c260, 0x729a9300,
+    0x3208e63b, 0x74134854, 0x23eab3c2, 0x1daf3a3c, 0x6ec39065, 0x0b486508, 0x56ff8944, 0x1b1fddbc,
+    0x50b18f3d, 0x7c5de591, 0x8e0c8c82, 0x5bf4119f, 0x379bfb65, 0x9b6fa1c3, 0x3648b725, 0x1b89e1aa,
+    0xa3d19f06, 0x911edff3, 0xd6d36b0a, 0xe5412982, 0xe8001348, 0x662aed6c, 0xa7fd0214, 0x6f116948,
+    0x51da680e, 0x2f0b850a, 0x1d6e0279, 0x785f80d0, 0x4ecdfe1b, 0x4dfd43db, 0x6377a1cc, 0x97d6a7de,
+    0xcb0849e7, 0x05e30bbc, 0xd29cfc62, 0xa59011e5, 0x4803016f, 0x2722adf5, 0x38c11986, 0x3c24d7c1,
+    0x17a04dbd, 0xbffd4c93, 0xa74edef0, 0xb493f534, 0x8f2253c8, 0xd6fc9d63, 0x0df7e1e4, 0x133c66d8,
+    0x8274d3bd, 0x3ef4690d, 0x6ab63d75, 0x29042dd9, 0x37b054f0, 0xf7b1110a, 0x7e8e508e, 0x4b2f13c8,
+    0x8a5c74e9, 0xd2ab05a5, 0x603cb565, 0x6b9ac0eb, 0x3226ef2e, 0x239461d9, 0x1ccec98d, 0xcf29022e,
+    0xc92a1100, 0x6dba8ce5, 0xb6e8efac, 0x7d3f63f3, 0x315e2c6d, 0x01d4e107, 0x9e237a42, 0xf4755c72,
+    0xba353023, 0x011796d7, 0x74493a18, 0xeb361c2d, 0x824e99e8, 0x6fbbe792, 0xf119e4e0, 0xbf5872c5,
+    0x59cc5998, 0x1aec5ecf, 0x967dd08a, 0x07215ba7, 0xddb0da17, 0x114b1dfc, 0x8ce1d77c, 0x419f2da0,
+    0xee901b24, 0x11cebf2d, 0xafdd62e1, 0x3e5304fa, 0x1eca501d, 0x969f29f0, 0x333c9d8b, 0x1cd264ab,
+    0x30b022e5, 0x7a67a5c2, 0x41f95520, 0xa68ce98b, 0xedc5146c, 0xffdec31b, 0x029f2293, 0x876b2c1a,
+    0xeb738a42, 0x57ba6157, 0xb0151376, 0x396fc66d, 0xfc9a26ac, 0xbdfad483, 0x205beb45, 0xd3714afb,
+    0xaed10cc6, 0x219e7823, 0x23ebed6e, 0x16aa3281, 0xc2324148, 0x6fddffd3, 0x05beab1d, 0xde37df6d,
+    0x06dcc7be, 0xda5d35d0, 0xc0d86e02, 0x8060c161, 0xd63610f7, 0xa0298687, 0xad405a0c, 0x3848f075,
+    0x09d7dbe3, 0x92d505fa, 0xe8752a97, 0x4ba182c2, 0x8a03d85d, 0x7b2cbae7, 0x2efdded2, 0x7ffaa252,
+    0x5f123185, 0x82d20635, 0x8f64f51c, 0x44ca6e53, 0x746b2448, 0xa9960d75, 0xbc1ca337, 0xef155f0f,
+    0xf3951cbd, 0x0fb25392, 0x0d1d0ed3, 0xc2d9f938, 0x8ab4e722, 0xf87a2f57, 0xc7119175, 0x58315101,
+    0x532fbccb, 0xf7f35a69, 0x63169d69, 0xb98a5146, 0xd3790866, 0x6b99e1c2, 0xdfa9dcb0, 0x2084ad04,
+    0xdca9c3db, 0x9fac494c, 0xfb05baa6, 0x2ea01460, 0x71143b60, 0x56a4ced5, 0x054a417a, 0xc43418f5,
+    0xf2200347, 0x5b87f43c, 0xdc549ce5, 0x68a37d24, 0x1ac2a81d, 0x965f2750, 0xd386930d, 0xc8b0c454,
+    0x00000000 }, /* 10**-00000000000000000465176783549188409951567237048322901986330470839883558580153\
+                          72747560914439257467092876227245680868195888801382801035387746214504231337984 */
+  { 0x00000000,
+    0x3fffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7,
+    0x24a9bfbe, 0x8c3d317c, 0xcd7810b1, 0x157062e0, 0xeda0aa4e, 0x297a14f5, 0xe508dbfd, 0x4d1ad597,
+    0x00000000,
+    0x828ec181, 0x70ead180, 0x52de2b23, 0xeb83f17d, 0x7e39df85, 0x8ad4d3a0, 0x5eef9833, 0x7d699ed5,
+    0xcace0eb3, 0xd4007b5e, 0x0c819f3d, 0xff02b9f3, 0xec19c03a, 0x0402c697, 0xf075109c, 0x2cb9a458,
+    0x067b1cbd, 0x44d8fa0f, 0x72ce84ac, 0x0c42fb7b, 0xc8f62b46, 0xfe9b3844, 0x6e78809e, 0xdb6dbb9f,
+    0x54917e13, 0xdad70fa6, 0xcecfb205, 0xf8001188, 0xbbf9a1c4, 0x4d96ae2e, 0x4a659ee6, 0xeb7bfaa0,
+    0x29090b33, 0xc567f3d6, 0x4812592b, 0x967d9471, 0xd9e2cf91, 0x2a494088, 0xe9778e02, 0x14695b7c,
+    0xa8d7665a, 0x6087d552, 0x35a81ced, 0x8b968942, 0xb883e722, 0xfdf20257, 0x90833968, 0x967410e3,
+    0x2543b479, 0x5d51b630, 0xfbf772c8, 0x795d15e4, 0x8ffe5555, 0xb1cfd7a6, 0xe063f22f, 0xa023910d,
+    0x2f69a44a, 0x41aa6200, 0xef6088e9, 0x58b2ea51, 0x2f603bae, 0xd8efe6b6, 0x05edd186, 0x8047c018,
+    0xd41fc57e, 0xe382d550, 0x8635b3ba, 0x38a2ae29, 0xdb73c5a8, 0x9fedd299, 0xf7ade5c0, 0x447ff614,
+    0x740a65aa, 0x8ddf315a, 0x469a53e9, 0x6f7befe1, 0x2ac2a229, 0xaf085905, 0xa2fe8335, 0x9e929a8a,
+    0xff41005a, 0xdd5935c6, 0x13b085ff, 0xb7156336, 0xd90f61bd, 0x33ec3fc2, 0xe96c9579, 0xc46307c2,
+    0x621f9e2b, 0x144b81f5, 0xea60cc49, 0x6f1fadc3, 0x586f401d, 0x037ba815, 0x551d7811, 0x2d70426a,
+    0x4b105535, 0xbcfae2f4, 0x480ac3ae, 0x9c60f8df, 0x9f82169a, 0xf008928b, 0xdb792e37, 0xca194c7a,
+    0x16ef2069, 0x44125307, 0xebaf1ee6, 0x05dbf505, 0xec5fe682, 0xb620c36c, 0xca34843e, 0x3926935b,
+    0x889033c6, 0x0c97b34a, 0xb03ab81e, 0xe59a3be9, 0x3b0f8b4c, 0xf1a7588d, 0xc171e068, 0x94b686c5,
+    0x15070457, 0x4e73fbf6, 0xcac677a2, 0x91b09a79, 0x47e24dd6, 0x914da702, 0x85ed420e, 0x01c01f83,
+    0x204159db, 0x7df2c135, 0x81848339, 0x4469764a, 0x08628c6a, 0x39fefd15, 0xec053d3c, 0x264ce589,
+    0x4b199673, 0x035cc708, 0x26cfb22a, 0xc511e713, 0xc41bf9d3, 0x37862670, 0x88680a51, 0xbd1783eb,
+    0x0d2e6d6f, 0x9515653f, 0xc6bb7bac, 0xa9c7c16e, 0xf5fb0a20, 0xa523d16a, 0x20108c21, 0x16b8a209,
+    0xab6e63d8, 0xdccb93b9, 0x0a1d4dec, 0x8fb42135, 0x141061e6, 0x49c2e668, 0xfb7dd680, 0xaf28b30a,
+    0x31daa456, 0x04e7faab, 0xd2f7ac2e, 0x1a3091b6, 0x65ecce8c, 0x3ece6cd7, 0x867b86ca, 0xf7e84acc,
+    0x6571f725, 0x85f0f0a5, 0xc15d2bca, 0x9d215bbc, 0xb00bf0e6, 0x127ceafb, 0x491ce058, 0x116c335b,
+    0x7ca31d0f, 0x4226a742, 0xcee574f2, 0xa93598a9, 0xa1341108, 0x5ef8126c, 0x0e044d40, 0xc8bc5951,
+    0x9e639d25, 0x4349bc6a, 0x34f60625, 0x464371bc, 0x142860d6, 0x6501148c, 0x20e65ae1, 0x1a9f404e,
+    0x262cbc1d, 0x9d901cc0, 0x1074ecd7, 0x58d956d9, 0xde46c272, 0xbc5f7351, 0xd23ad08c, 0x5773f0af,
+    0xdfe2a08a, 0xaa423bea, 0x358b4ad6, 0x1abe645a, 0xc3d1cfad, 0x787ae8bd, 0x2c8af903, 0xd0ddf639,
+    0x94b3dba4, 0xb5dd41d9, 0x91583caa, 0x7176664b, 0x1a5f26c1, 0x088e5e40, 0x19ea87ea, 0xa08f3aa4,
+    0x8493f442, 0x5a467113, 0xbe1644cd, 0x5f98dd56, 0x140f38a8, 0x1527aa87, 0x9ab90ebc, 0x6bcfea83,
+    0xcb97be14, 0x55466a7f, 0xc219152b, 0x1c64cfa0, 0x1813b9c2, 0x388c62dc, 0xf83f5cae, 0xb1a12b53,
+    0x395ba6c2, 0x119f5595, 0xad33e44e, 0xf89d3532, 0x9f4b022f, 0xa7bc462e, 0xfefb42a4, 0xce43dbcc,
+    0x46db9c35, 0x7bf9fc8f, 0x10304880, 0xfe9cbd11, 0xbeadc10a, 0x5cb7e166, 0x1530aa59, 0xe27a7ac5,
+    0x1ab4e6ad, 0x4df32c19, 0x9719c20f, 0x2799ac0a, 0x18b11eff, 0x519527ae, 0xb9e91f03, 0x3b6b5d75,
+    0xaac887ac, 0x825a2668, 0x3456e596, 0x5c7b0c34, 0xefb37099, 0xdbfa34a2, 0x9e18cc41, 0x08704a1a,
+    0xdf669a42, 0x199d6460, 0x95e7cb77, 0x1589dbd6, 0x9dc3d6c1, 0x06c88961, 0x767a5f8f, 0x4cdb6370,
+    0x14bf2455, 0xac9c3d51, 0xbf3986c6, 0xef6d6ba0, 0x79e45523, 0xde32880a, 0x2f23350a, 0x901ae40c,
+    0xadf947de, 0x2caa8ae6, 0x2e8d71b5, 0x84300c70, 0x822d7f44, 0x132f5539, 0x0c4bd903, 0x61dd950f,
+    0x78490102, 0x88a711ef, 0x2cedf9e8, 0x3ce369ec, 0x2810878b, 0x841c3172, 0x1a1814c4, 0xc6b164a0,
+    0x5b8507e8, 0xf3231f32, 0x987d716f, 0x1d67aa92, 0xeb318e42, 0xfebb33fc, 0x90bf8e12, 0x128ad59e,
+    0xcc44caf0, 0xc3691c36, 0x16d6d04d, 0x045e6560, 0x32754ca6, 0x4ba075fd, 0x2146cd22, 0xadba21f7,
+    0x806fbaad, 0xd4f64e72, 0xd19bdfae, 0xc045fd40, 0x7e69dae9, 0x15807c43, 0x7e7c8614, 0x1b17092f,
+    0x205e0eab, 0xcca19a0c, 0x5390e99c, 0x048c292d, 0x095650ce, 0xb8acd90e, 0x783eee41, 0x69c7ea3b,
+    0x81f99e7d, 0xb899b85d, 0x5d3b59e7, 0xa06bd13c, 0x960eeded, 0x4ab216bf, 0x6f76f105, 0x74b094d2,
+    0xf72a9473, 0x89e7580d, 0x711a9a76, 0x7c1731b8, 0xa912801f, 0x9a62a6f0, 0xdbe1e5a6, 0x2d3966ab,
+    0x41d2c9f4, 0x7df48911, 0xd1a4b450, 0x5bc80dec, 0x6e6096eb, 0x1e6c6bb2, 0x4b184ea4, 0xf24dbc74,
+    0xfe840206, 0x347bb81e, 0x1df88776, 0xf97f32bd, 0x7008677e, 0x4d9edf8f, 0x4088f22d, 0xe1dd50d0,
+    0xe835a959, 0xed4cc111, 0x3d4e6ddb, 0x91e74a62, 0x982ac836, 0xabdb2c13, 0x8b73c5ac, 0xdcff045e,
+    0x3c779909, 0x9223ed55, 0xc8d60994, 0x104575c5, 0x6bf88697, 0x6c82800d, 0xf5b8df7d, 0x463a81f2,
+    0x60d805df, 0x6f1768e1, 0x32c3d95e, 0x81580a62, 0x0b64d854, 0x207f1a41, 0x5f299a97, 0xb39fc571,
+    0x5b454211, 0xb669ba0a, 0x72db1b10, 0xa560d43d, 0xe2dacfee, 0xf8346089, 0xe37e80c6, 0x88a79424,
+    0x11d69d39, 0xc16aecc4, 0x613cdd21, 0x8fbfc0f9, 0x5cf92165, 0x71c0bcd8, 0xeb30811b, 0xd928a09e,
+    0xfe71c7ef, 0xbd48deca, 0x4ce2b5b8, 0x071cf627, 0xa73a1221, 0xbc38582f, 0xc539fc79, 0xdd1c4ab8,
+    0xc54094fa, 0xf41feb8c, 0x4ced4db4, 0x79c46865, 0xc809b2bc, 0x47407b70, 0xa2d187f2, 0xeb93a0d7,
+    0x3f945d50, 0x444c89e2, 0x95095909, 0x6b0d504c, 0xdcb0ddd2, 0x40f91566, 0xcab3e38a, 0x9aba30f0,
+    0x11033276, 0x48aa82dd, 0x7858399e, 0xaba490d2, 0x0a7742ec, 0xea0bf61b, 0x243270ac, 0x7e0ad5e0,
+    0xcd822ab9, 0x005983a8, 0x3c4a109c, 0x470f6c04, 0x858a300f, 0xed5f4e95, 0xdc22692d, 0xc2d5b6f8,
+    0xf10a2153, 0xe725d80f, 0xe09e9970, 0x18a889b5, 0x6e905030, 0x94c41d70, 0x2827c15d, 0x90810c6c,
+    0x260aecb5, 0x8d6260ef, 0xee3337ea, 0x601caca9, 0xce8d9db2, 0xaf7becf0, 0xe1993725, 0x8c29b614,
+    0x51b86b59, 0x520a5426, 0xc7422cf5, 0x628ad58a, 0x0d2ae36b, 0x284fd230, 0x8bd19e80, 0xccbd1352,
+    0x0de01fc7, 0x40e11b54, 0xc1b0ec89, 0x557d2424, 0xc7b78037, 0xd23472bb, 0xa6e1d185, 0xa8be194b,
+    0x3069ac4b, 0xdd2cf801, 0x6d567847, 0x1b74f743, 0x5e485170, 0x37f46d67, 0x72edb76d, 0x7e8dceb8,
+    0x1174cf41, 0xcdd8c273, 0x0ad54570, 0x0a6bcf48, 0xd4305702, 0x22b2f541, 0xc9643b22, 0x252ecea1,
+    0xae02fa36, 0x85b8f046, 0xe1f60e04, 0x4152e399, 0x388f9911, 0x889e2c66, 0x8936ac23, 0x88498477,
+    0xfce41d2a, 0x6d1c85ab, 0xd8a71620, 0x05210c32, 0xaf3b87e1, 0xb5224b69, 0x2218b884, 0xd84473f2,
+    0xb3974941, 0x0fd0525b, 0x154d57ec, 0x0314a8d7, 0x1933cf19, 0x6824b314, 0xe9e05562, 0x27174dcc,
+    0xdc94fcd1, 0xbc20992d, 0x30e41fed, 0x2f1fb925, 0x53bce33a, 0x75073ba3, 0xa0f76296, 0x4d88a164,
+    0xdd1d7260, 0xa5df6f77, 0x245d9b2d, 0x6e539a6d, 0x9f34fea2, 0xfc0cd403, 0x3b319e1d, 0x89328289,
+    0xd1ef2fd9, 0xeafed2f3, 0xe9c96f74, 0x0d4140c8, 0x447ccdb9, 0xb873ed16, 0xb2ceeedd, 0x49580c22,
+    0xbe40bad1, 0x08749921, 0x126c3e5b, 0x2289b110, 0xd737b20e, 0x67b72072, 0x63e0facb, 0xd29ce42f,
+    0xa423a600, 0x5a3d3ab4, 0x1ef654d1, 0x106db885, 0xeabba5fd, 0xa270e782, 0xe4533bdf, 0xc21a9783,
+    0x575cc963, 0xb518876f, 0xb4ae6a7f, 0xc534ab69, 0x260fa6e8, 0x221f2ce3, 0x9cfa2cea, 0xe149481a,
+    0x8c983e80, 0xdab5e6c6, 0x4a384291, 0x6723c704, 0x4cdda37d, 0xec083cab, 0x855390e7, 0x43e7313d,
+    0xfd3cadd6, 0xc5c4eaa0, 0x7d5a3921, 0xae068883, 0xd2268e9c, 0x935a32a1, 0xeefa8803, 0xb48e8fc9,
+    0x8e241315, 0x1611dac3, 0xdad623b4, 0x28eed078, 0x8d0c141e, 0x68e1b54e, 0x79e7d6bb, 0x1377cc85,
+    0xacfcac21, 0xcc1fb481, 0xd660196f, 0x699adeec, 0xc79ae2ae, 0xe0a1cbf0, 0x2b4c8506, 0x07999da2,
+    0x1b6f0f35, 0xcc1b444f, 0xce1c0284, 0x7c736aa4, 0x4436335c, 0x56f6249a, 0xbd9ca459, 0x5428b72e,
+    0xb4386e67, 0xcaeb689c, 0xfaf8c6d5, 0x0bbbc603, 0x6af10153, 0xed14d776, 0x99840352, 0x940f8ecb,
+    0x67a9563e, 0xcc3512c1, 0xfc702d1b, 0x76f959ad, 0x1b69700a, 0x48aee475, 0x805f8c2e, 0xd052d658,
+    0x636390ff, 0x03fb83bb, 0xc8d5fd44, 0xa8ad9cb8, 0x8cf63e2f, 0x1b54373a, 0x4da5b032, 0x2a958ac7,
+    0x7cf471d6, 0x6d9007eb, 0xcbcfd522, 0x62fb12ca, 0x14134c2d, 0xba7e9756, 0xf741e5cb, 0x7872d28f,
+    0xc25fea13, 0xa5e5ec6a, 0x0145a63f, 0x1ce2aac9, 0x96339b17, 0x59a74d3a, 0x433c53dd, 0x22a16845,
+    0xc055efb0, 0x3f3eac88, 0x6cc9fdaa, 0xfd31d921, 0x42567955, 0xfa2556cb, 0xe4797d10, 0xdc9576b8,
+    0xf0cbe12d, 0xd7b36ccf, 0xc2842147, 0x2ac84ffb, 0x279039c4, 0xa00bd66e, 0x1e819017, 0x2bc680cc,
+    0x37ccb1a2, 0x3c7380af, 0x43eec835, 0xbd4bac2f, 0x68ca498f, 0xc7da3775, 0xdf134fa6, 0x5e122368,
+    0xf77677be, 0x1897baa7, 0x134bbd16, 0x9f132d29, 0xf9b3ea40, 0x0d1daf92, 0xb2346eb7, 0x3b035e77,
+    0x670aac6d, 0x16e3c423, 0x4857a97b, 0x99e582e2, 0xa41ff53c, 0xc9d03603, 0x5dfbf2c6, 0x5b225771,
+    0x19962e16, 0x51fd24fd, 0x78a2ed4a, 0x59f572b0, 0xe4a9964a, 0x8cd11ecc, 0x10a22550, 0xdf6d06f9,
+    0x81aef4ed, 0x9a4d630e, 0xf78e7628, 0x189e05f3, 0xb7a2c386, 0x5050736e, 0xb371cb57, 0xa56b9b6c,
+    0xbe7cd778, 0x8b2b3a7d, 0x8f65b08e, 0xcd355b71, 0x965e04d4, 0xe4d42d62, 0xbc0c014e, 0x1b0c800d,
+    0x30edae2c, 0xcfd64bb1, 0xc63460fb, 0x9ec64a73, 0x7c4b6d25, 0x350770c3, 0x67fd784d, 0x56c2afbc,
+    0x93082854, 0xceff6a79, 0x77c33440, 0xa010a154, 0x07094a45, 0x968caa3b, 0x4f0164dc, 0x1abda83b,
+    0xe35bcbff, 0x51db3a88, 0xc254a63b, 0xb3de87ff, 0x3331f4bc, 0xe9b1424a, 0xf0e27463, 0x1bb77698,
+    0xc3cf4bcf, 0x308194c5, 0x98c6754a, 0xe6731fa6, 0x96175130, 0xbcd8f004, 0xdf687608, 0x3b43e54f,
+    0x7049347c, 0xd073e81a, 0x71c2df94, 0xa347551c, 0x6cf87e34, 0x2d5a64eb, 0x1f3ddb04, 0x269fa9cf,
+    0xcbd8f5de, 0xb2f8f69a, 0xcc350823, 0x75d6cfba, 0x9c3f4b90, 0x0a973722, 0x511803c3, 0x92314f5e,
+    0x6ab33627, 0x9e4313a5, 0xd40cce40, 0xdedeb1a4, 0x537dd084, 0xcabe0c6b, 0x5be7db4d, 0x05ac378e,
+    0xf1f14f8f, 0x6b557373, 0x7a6518e5, 0x3bfdd578, 0x20aa255e, 0x4485578d, 0x6b432902, 0xce485d9f,
+    0x60967787, 0x673c1953, 0xb7ebf33d, 0xc33cfdf0, 0x59c670ec, 0xaeaa1d7f, 0x1234f568, 0x1430c903,
+    0x002786be, 0xabb732c4, 0xc256f9ab, 0xfbff29e2, 0x5122b63a, 0xab6220df, 0x493725e5, 0xf73df6cf,
+    0x4ecfcf23, 0x3625c184, 0xa09d113e, 0xecd0aa32, 0xd8e8100b, 0x28e98911, 0xf5e61549, 0x2ad13579,
+    0x4c500750, 0x2f1a7f70, 0xe75d4104, 0x7b7588fe, 0xf7846808, 0x81d8d065, 0x8f02eb17, 0xfb3a578e,
+    0x523f962d, 0x64efae95, 0xe9df22d2, 0xc948ab00, 0x90af6446, 0x722ebd28, 0x07884b39, 0x14617bf3,
+    0xb9a04fe6, 0x431d0655, 0xb21113c5, 0x5ebd49b4, 0x7b52f0a1, 0xcca8aed8, 0x7d158ec4, 0xf20ea3a1,
+    0xef65f7b6, 0xa0756bd3, 0x7b29b975, 0xf4e5a816, 0x0ea58c34, 0x4f772e4c, 0x8ee57434, 0xe02c8b3c,
+    0xdc4d2a86, 0xc4b54363, 0x8c47ad84, 0xaf0668a6, 0x2c98a73d, 0x0bb57e9f, 0x8ee3780b, 0xd829b0c5,
+    0x814050f9, 0xf18c494e, 0xf42a9579, 0xbe0b36ac, 0xffaf5b84, 0xed0eced9, 0x31c46aa9, 0x5f7c21e2,
+    0x9dbf44f0, 0xe1a03dd2, 0x486542ec, 0x0e5aef1a, 0xdb8e931d, 0x7fcca7d2, 0x5890fa66, 0x57a7f796,
+    0x1e1a68f4, 0xcb83d570, 0xa8110a60, 0x198c0a38, 0xef600211, 0x5b1a1bee, 0x4c3d649b, 0xf9b8d759,
+    0x869fb834, 0x9c6d1586, 0x36f2fc7d, 0xe54fd965, 0xbfdf2b5b, 0xa9fda893, 0x5a4aecf3, 0x0a2efe98,
+    0x027aa46d, 0xf9d0b3d9, 0x0317f2e0, 0x38fc95ab, 0x2b22013e, 0x7ba7a8ba, 0x681fc520, 0x095e8623,
+    0x6f05f878, 0xeb977e87, 0xbc4de644, 0xe5cb8c79, 0x7adb7b32, 0xcc7c6a3f, 0xa3431e5b, 0xc75dd933,
+    0xa3dcc1e2, 0x557b9e3f, 0x4f4193aa, 0xca925044, 0x7e42797f, 0x594f4c67, 0xb2d9c4ae, 0x5e1163f7,
+    0x370ea0d4, 0xeb469c47, 0x422a32ce, 0x86ae62ed, 0xc82dafb5, 0x0f36a018, 0x68b2157e, 0x1d9ceca5,
+    0x133b5bc4, 0x20be9264, 0x2de672f2, 0x83990b7d, 0xf6141320, 0xe7ed0314, 0x4579667f, 0x6169d559,
+    0x4f9f7637, 0x4203c2ef, 0x01c7e7dd, 0xd5eef644, 0xd02c5c76, 0xa0e6e755, 0x81a96197, 0x8c10f006,
+    0x75ea337e, 0x6beb6e8f, 0xa1a0ae9b, 0xcd58c388, 0xf010e363, 0xead152ba, 0x5fe55ccd, 0x952399bf,
+    0x29d61ff1, 0x0b86a6cb, 0x8ce482e6, 0x7c114da4, 0x29888926, 0x1b1ca36a, 0x5924dbc7, 0xb3b5b01f,
+    0xf87dcc18, 0x410e477b, 0x436ca60a, 0x549d2147, 0xb47a62f4, 0x0761f31e, 0xcc43e7d7, 0x50634286,
+    0x7183d5cd, 0xaf2dd567, 0x7df4fec6, 0xc76fe278, 0x7b538a09, 0x999a5b2b, 0xa3287d56, 0x2c717ea4,
+    0x03d899e2, 0x32b7ab44, 0x2b438a66, 0x02a047f7, 0xa60e921c, 0xae78c4d5, 0xd686e72a, 0xb1cf9e12,
+    0x9190487f, 0xd9d514c9, 0xb7378fd1, 0x233efc8e, 0x8a032053, 0x215f6dbc, 0x2dd12dae, 0xa4607ab4,
+    0xfe5b427c, 0xffb3bb20, 0x7682129a, 0x625161a1, 0xdbc1e5f9, 0xc490d8f2, 0x55c0ecd4, 0x959b5aec,
+    0x07909665, 0x950d8f8f, 0xc2176135, 0x81660b95, 0x888bf60b, 0x5c8fa79a, 0xaa214d8d, 0x0d15a8d8,
+    0x913ad42d, 0x9f9cbea0, 0x8212e3d9, 0xc0e190e1, 0x10ef4188, 0x3e75d905, 0x5dafb09d, 0x539780ab,
+    0xc415e5e0, 0x3aacaa4f, 0xdeb50f14, 0x3ebb7fa7, 0x227ff8ef, 0x8766f4db, 0x22066876, 0xa8151662,
+    0x7930cae9, 0x931e3359, 0x841f9091, 0x90dd032e, 0xe20c9052, 0x4fb68950, 0xe6b3df10, 0x0b69cf02,
+    0x5ba00498, 0x9fbabbff, 0x4a2d5f0e, 0xa97699c6, 0xfa5ece5d, 0x8ccc8490, 0x4e4d4577, 0xf54cc37d,
+    0x00000000 }, /* 10**-00000000000000000232588391774594204975783618524161450993165235419941779290076\
+                          86373780457219628733546438113622840434097944400691400517693873107252115668992 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b,
+    0x9254dfdf, 0x461e98be, 0x66bc0858, 0x8ab83170, 0x76d05527, 0x14bd0a7a, 0xf2846dfe, 0xa68d6acb,
+    0x00000000,
+    0x8145c239, 0xfddae909, 0xa685743b, 0x9f1200e0, 0x886d4b0b, 0x466f313b, 0x874fcbd6, 0x8eb0a3e0,
+    0x5860336a, 0x42f5eeae, 0xfe0560e2, 0x29cc414b, 0xbf4ac6bf, 0x8e7aaa53, 0xd5525685, 0xfd7ff39c,
+    0x73584884, 0x01695981, 0xb327d765, 0xc1bc6589, 0xc3f7493e, 0xb7e90ee0, 0x168d54b3, 0x0c16c08b,
+    0x6605a457, 0x73364623, 0x35d55082, 0xd1ee61dc, 0xcc1afbf7, 0xf4cfd096, 0x4f63fdbe, 0xe1b2cec1,
+    0xd972735a, 0xaec6bc1b, 0x5775dc7b, 0xfbe5669e, 0xf7b42751, 0x40df0742, 0x83960097, 0xbc4c39e0,
+    0x7ff58c83, 0x95baedbf, 0x9de612a8, 0x6a55f3d7, 0xb81040e2, 0xc4cc9743, 0xfd378a26, 0xff862358,
+    0xd4cb3f70, 0x9b5f6eb6, 0xa20bc554, 0xc3376ab1, 0xa528646d, 0x25b46fe0, 0xef8a7fcf, 0x0ba08ecc,
+    0x35b87cc2, 0x18e9ad13, 0x78c230da, 0xb4d47c33, 0x494164d2, 0x85a67810, 0x9cc1ccca, 0xfea85c64,
+    0xf2b078a8, 0x818b7039, 0x4cde4559, 0xfd595317, 0xe6462356, 0x0b3ffa4c, 0x420d5c85, 0x3a738b82,
+    0xbc5ada9f, 0x394e62e5, 0x3afed076, 0x9a96be86, 0x24270d57, 0xe01c5e3c, 0x2d1f72e4, 0xd2be81db,
+    0x12f68aa0, 0x8f8afe01, 0x6f89c39d, 0x85cf3204, 0xf735c6ef, 0x6fbbaf5d, 0xfbfa0bde, 0xbc6a746e,
+    0x968b30e3, 0xbec34d60, 0x3068d2da, 0x41e381f2, 0x4ad5eb92, 0x606e98d4, 0xb7f0106e, 0x4b09f310,
+    0xee4e6a9c, 0x8176e0ec, 0x6687a8bc, 0x7fa8f154, 0x154bee5c, 0xbc54c02e, 0x48f680d3, 0xe02a808f,
+    0xfa6d6f19, 0xd92dfb20, 0xd10409d0, 0xdb20cc50, 0x231c515d, 0xdd60b8c5, 0x945bb224, 0x01303165,
+    0x59864009, 0xe7cd76e1, 0xc49cfc56, 0xfbb9846a, 0x7cbd652f, 0xcce2de23, 0x85b55dcd, 0xc6896a65,
+    0xeed8faf7, 0x12e8928e, 0x6d204f11, 0x10594c7d, 0xeb82a0b6, 0x83fa5f33, 0x5a18b4be, 0xb623580d,
+    0x36c0ed30, 0xfa088b03, 0x83653529, 0xada24a95, 0xe726b721, 0x9d4dea04, 0x8b1bcccd, 0x157b18ae,
+    0x5ff92d43, 0x864bee55, 0x2cf5d8fd, 0x8fed8f24, 0x005d2bbd, 0xd6274b57, 0x38013b1b, 0xbf0a8022,
+    0x3abff3f9, 0xcaaa0f62, 0x76d76c85, 0xcd4f62e6, 0x1aaa8539, 0x5f239368, 0x369b43da, 0x129ca8b0,
+    0x81a0a214, 0x9de455ad, 0x8e98ca0d, 0x110ffa44, 0x68001d80, 0xc54abc2d, 0x7cf2dc0d, 0xd6de3391,
+    0x27543d1f, 0xf16b708c, 0x140080d3, 0x896951d1, 0x542da11b, 0x1f7b17d8, 0x32b30bb4, 0x9dcdc3d8,
+    0x8df4e3a6, 0x7a668b40, 0x19a5415e, 0x9a2189ab, 0x32d94784, 0xedd2b881, 0xbe73a7de, 0x61ea9520,
+    0x506b5904, 0x014e096b, 0x82df763f, 0xf93c242c, 0x30a8552c, 0xed3a812f, 0x6b08b698, 0xbe632dcd,
+    0x4f7e2d45, 0x3a488b8a, 0x9aa5e455, 0x6b15dd6d, 0x13b33d87, 0x14c26bd0, 0xc0c9d49e, 0x9784ac1a,
+    0x8b8b4d9a, 0x4264cf61, 0xb15dc26f, 0x43d20eff, 0x56a8ad95, 0x296cf88d, 0xdf4230ec, 0x6eadc4fa,
+    0x8dab6334, 0x86b22129, 0xa7801b3a, 0x05fae9b7, 0x2e1f7861, 0x9fc00c98, 0xb463e67b, 0x7b44eef3,
+    0x917d6ecc, 0x7dc66a8a, 0x7bbd5701, 0x3cd5abec, 0x6c9f78f7, 0x994079d9, 0x47c500d4, 0x9e53fb11,
+    0xd5c6ab47, 0x2fe299fa, 0x457ab91b, 0x0e5ba5fc, 0x80008a7a, 0xd2a7882a, 0x7ef673f2, 0x951b1f67,
+    0x792e19a7, 0x89b4fdf3, 0x1600020f, 0x8db6a073, 0xcfc04466, 0x9421f082, 0x684b8d89, 0x8b050a8f,
+    0x630b8036, 0x162ace66, 0x8734703f, 0xb0cc3933, 0x7413457c, 0xa2d9813d, 0x3699c0dc, 0xe945fc56,
+    0xf4cf3dfd, 0xe1f0bf52, 0x3d76eabf, 0x08e24d34, 0x6d8b7287, 0xb55c45fe, 0xe761dad2, 0x3497f619,
+    0xcc13f41f, 0x72c000e6, 0x23db45d3, 0x1cfacb24, 0x361bb10d, 0x8c4884e6, 0x4421c324, 0xc97c4480,
+    0x90b22374, 0x9175b85f, 0xfe4cf004, 0xbcca5382, 0x9c6bddaa, 0xbfdb511f, 0xaa6fc2da, 0x524454c1,
+    0x045a7722, 0x830ee122, 0x2e6622d1, 0x5b35c983, 0x78beb8b1, 0x4b003819, 0x2001d40d, 0x5606d84d,
+    0x794ad80b, 0xef263810, 0x6210cf29, 0x728e0119, 0xedb92e79, 0x3256e02e, 0x85562ddf, 0x31967e58,
+    0xfaf9e92c, 0xf412d265, 0x11205501, 0x0c4cb5ef, 0x3bc02bc2, 0x70266b0d, 0xaa02f9bd, 0xadfa1acb,
+    0xbe2c2503, 0x6d6c4f4a, 0x12206284, 0x350d8402, 0xf48d0e20, 0x76194e0c, 0x4b968ec9, 0xf0fa2235,
+    0x7f129bf4, 0xcc52eaa9, 0x99c32131, 0x2054636d, 0xbfad09d3, 0x300510bb, 0x137d4f49, 0x4323310c,
+    0x7b7050db, 0x35b95739, 0x0e79df22, 0x7bd08cfe, 0xfcda03c1, 0xc725eb92, 0x8ba9fcd5, 0xc21f945e,
+    0xa1692003, 0x5e28a2be, 0x1cc86472, 0xe21c218b, 0xb3957abd, 0x1f1c7b5b, 0xc26109ee, 0x8e99677f,
+    0xb0b338f4, 0xa4921edc, 0xc7e0e62a, 0xc61ebbc4, 0x2f0b2dad, 0xfe041f45, 0xc427fcf0, 0x92e86f15,
+    0x078d9442, 0x32474586, 0x9075b7a2, 0xee100456, 0xbd36a8e5, 0x5189607d, 0x89844f6a, 0x7eaf1dcb,
+    0x068e4d26, 0x078d4f9b, 0x5954c1cd, 0x394fbff0, 0x9c29d857, 0x91f169bb, 0xcb7c033c, 0xea56303a,
+    0x56806b7a, 0xc65cb751, 0x54b866d4, 0xa602ec95, 0x7ec42fea, 0x5244405d, 0xaa361494, 0x6478b00f,
+    0xb8acfbed, 0x9de20308, 0x3f075db1, 0x0b692057, 0x8164845b, 0xf84f218e, 0x6c4a18c3, 0xdecbadfd,
+    0x9b40519e, 0x003958ec, 0x07703f2d, 0x9f7c63f5, 0x43684525, 0xd883269f, 0x15fb9d3e, 0xc508169f,
+    0xba8fc58f, 0x3be3c6a9, 0x3c561a40, 0x7b4baaa8, 0xb3ba5e07, 0x2a164cfe, 0x4d286cf5, 0x10436a89,
+    0x4587d309, 0xa8be296a, 0x8cb30bca, 0x48eba9c1, 0x12c6c3e6, 0xd3312fbf, 0x852dcb35, 0x0424649c,
+    0xd97036e4, 0x0aad4d24, 0xc3a10a23, 0x4f78622e, 0x1fce4215, 0x02ec9aed, 0x24b19c9f, 0xabdb1aea,
+    0xc2c1014a, 0xef078320, 0xfc3072c2, 0x1d56a6a6, 0x565194c1, 0x1c944c78, 0xe5de8574, 0xa113c83b,
+    0x391191e6, 0x545ce002, 0xccf36110, 0xc27f44cc, 0xd68d1ad4, 0x1ffabf25, 0xbe4c93e2, 0x9c76ee85,
+    0xb56920df, 0x8e93e32f, 0x8c59e46f, 0xe602044d, 0x6ce46444, 0xdb2d4261, 0x87498357, 0x6d3a0053,
+    0x851f0813, 0x87f1fa22, 0x743c7e54, 0xecb8bf3a, 0x8aef14cb, 0x02a1c26b, 0x638b54d5, 0x32bbd239,
+    0x4ef686d2, 0xec2589ef, 0x6fefad0c, 0xc64b0b17, 0x9f847167, 0x4e104427, 0x7c73deb8, 0x569d0b70,
+    0xc71798ce, 0xc0e23754, 0x7b0ccf35, 0xeac96439, 0xb8cd86b5, 0x4b9e2768, 0xf9a9daca, 0xa94449b6,
+    0xc10b8c72, 0x585f51a9, 0x762d10a9, 0x7680b457, 0xc094661f, 0xaf84ab17, 0x9df87337, 0x9e966662,
+    0x38b98c54, 0xf5282880, 0xdded64e8, 0x5ba93fa5, 0xfcb7cca6, 0x0ab3efa2, 0x1c95a2b6, 0x1e1567de,
+    0xcf94bee7, 0xd86695fc, 0x5edf16ca, 0xb0858d33, 0x0464397f, 0x45a3e969, 0xf5181b54, 0xd1ad8928,
+    0xfaa8ebad, 0x95b7e205, 0xb94914d0, 0x691e5f76, 0x5a6dc7e3, 0x38db029e, 0x9a2b1d43, 0x4ca77072,
+    0x42690ff9, 0x8b748508, 0xe5f13cc0, 0xbab09882, 0xd13f099a, 0x9f50ff71, 0x06bba583, 0x82399bf6,
+    0x1951355d, 0x09b8d267, 0xf3d1438e, 0xe1fe1cdc, 0xea2aa45c, 0x2dbe5622, 0xcda69c84, 0x3fdd59d4,
+    0xd9a04d96, 0xffd1380c, 0x888dab36, 0x20b1facc, 0x5cb5ca9a, 0xa5d549c9, 0x1677312d, 0x5e597d4d,
+    0x361452d1, 0xf38f24b1, 0xfeb009d0, 0xb2bf038b, 0x7f2e3e1e, 0xa746f25c, 0xfd0b292e, 0x451fdf9b,
+    0x66dbb7f7, 0xf657e076, 0x4aa2eff8, 0xefc1e150, 0xc5d752d6, 0x636df3f7, 0xf5d9da8b, 0xa4790967,
+    0x1399d12d, 0x1e01d74e, 0x8ec7275b, 0x2fca1b0f, 0xded9bec9, 0xe8ea8b88, 0x9912cb06, 0xb0277078,
+    0xdb3f75d3, 0x20555b08, 0x0c9285b4, 0x126b411a, 0xa0861e8b, 0x4e252dff, 0x5df4a232, 0xbab2164f,
+    0xbffd9cde, 0xc18d773d, 0xf482bde5, 0x5885a977, 0x1e90e497, 0x178e218c, 0x1aebf3d0, 0x53eace66,
+    0x020562aa, 0xbe0f67e7, 0x981bcfa3, 0x6aebc5d0, 0x57c85bad, 0x3ad0fc26, 0x83d5361e, 0x2f38d200,
+    0x959fc7c6, 0x7ab987e5, 0x6b6fff44, 0xf56f46ec, 0xb0daf168, 0xf4d591f1, 0xe51d4e32, 0x1dadd8d8,
+    0xba20d6d5, 0x5cbbea08, 0xdf480114, 0xcfe0793d, 0xe10d5964, 0xa4362ade, 0xc3377961, 0x2dabd38e,
+    0xa65fb26a, 0x4e2fc94c, 0xf3041084, 0x21f0c9eb, 0x26e16b22, 0x44b6b850, 0x76b61997, 0xd67b8f2c,
+    0x5b8cb263, 0x63cfb209, 0x10d445ef, 0xb13a1b00, 0xfb1deeeb, 0x2e0aad43, 0xd196203f, 0x58c4db65,
+    0xce073aab, 0x6bdfceeb, 0x323b88c9, 0x32432613, 0x69acdf5d, 0x3df05f9c, 0xa758fc71, 0xe4d6ff22,
+    0xad2d882c, 0xae2d3e72, 0x335ae98a, 0xed61a8db, 0xfc4e527a, 0x49b4e20a, 0x0119bf5c, 0x214a67e9,
+    0x242748c0, 0xb41768bd, 0xe3a72d23, 0x20b001e2, 0x1bc397ca, 0x26362d5f, 0xee0e9319, 0x4b3b6b00,
+    0x1231c2ef, 0xd7cb8f7c, 0xfb5df3ce, 0x30dedf11, 0x3b87bf27, 0x0edcddb8, 0xf6cc1c99, 0x4587b877,
+    0xb7b53e55, 0x9f6e6fc2, 0x2c1e4142, 0x2f5680dc, 0x9dfdcc92, 0xf02dde50, 0x81bac87d, 0xdeee3ba2,
+    0x17e2e8fb, 0x2aa2c997, 0x64a85d97, 0x496e80fc, 0x3f84f29a, 0xfdb475c9, 0x976798ce, 0x40ae2f2b,
+    0x23d447c1, 0x85df8338, 0xd39fcc6c, 0x68f79f86, 0x487f9004, 0xbfa76d80, 0x9f77c2c3, 0x6c8f8db3,
+    0xd7ca7d2a, 0x838aa847, 0xdaea416f, 0xf75957e5, 0x52fc125e, 0xa406b384, 0x4a141c0b, 0x6d25152f,
+    0xff9ac490, 0xdab88a31, 0x237c2669, 0xbe48fcde, 0x582ef9a2, 0x31e06821, 0xc92a6c8b, 0xeb3833f6,
+    0x0f7c70e3, 0xf33e3884, 0x7a3083f7, 0xeaae4550, 0xf65528cf, 0x10aca926, 0x811b03e0, 0x34cb78ec,
+    0x72a65b66, 0x1a0287a3, 0xa81cb48e, 0xfc7545c3, 0xd29e8a46, 0xe8c4f1e5, 0x9ed0f940, 0x49b23721,
+    0x5a1b5685, 0x01705464, 0xe0aa1d7d, 0x93f2ea23, 0xac458fe7, 0xbfebd6cc, 0x6e35528d, 0xf2d854a5,
+    0x9dcaf757, 0x9c3b776b, 0xded64ca0, 0x1d513a21, 0x112ba0a2, 0x64fd76d2, 0x73cb001a, 0x7b8fc2f3,
+    0x68da4aa6, 0x07afdab7, 0xed52c804, 0x2f97206d, 0xe05505c2, 0xb246ce1e, 0xed12a333, 0xb89bebdd,
+    0x085fdb42, 0x8a16e513, 0x3c2a898d, 0x033293f5, 0x06f12dfb, 0x73b894b0, 0x4a25144a, 0x66eb9853,
+    0x11928bca, 0x5225c03b, 0x39f00dbb, 0x6b483709, 0xf0ef2176, 0x062d0a12, 0xbdadbfbc, 0x93592fef,
+    0x96db4ded, 0x6583f983, 0xb260317c, 0x5043ce64, 0xea3835fe, 0xfc8bcaec, 0xf19f8a7e, 0x125fec29,
+    0xa9caae1c, 0x2c126f1e, 0x4195085e, 0x02f26c8e, 0x16a7561c, 0xec7dfb24, 0xca272b6c, 0x714cc5b4,
+    0xdbeddb57, 0xc3fe9ae7, 0x852b56e6, 0xab27bfd0, 0x5d173a5f, 0x62a4af91, 0xc50da518, 0x965f5472,
+    0x7ddc7288, 0xcb09ced5, 0x23846266, 0xbd8a7c74, 0x4e681cde, 0xc11bb3cb, 0xe3ce49bc, 0xf5f7c2aa,
+    0xab27c17e, 0x004bd75e, 0x8c0ccb23, 0x68d90dec, 0x92726621, 0xaa873af2, 0x862fe5d4, 0x3e602b54,
+    0x531553c3, 0x2c4ffe93, 0x31eb0839, 0xc8ff61a2, 0xd4d864e9, 0x9bcaf57d, 0x2b308423, 0x701a25ec,
+    0x83bf2b18, 0xb2af00de, 0xf188d01a, 0xbfcf4d8b, 0x689aa677, 0xc5414171, 0x0209a790, 0xdb319e44,
+    0xebaa08a3, 0x83332f2f, 0x63300d05, 0xd8c6ace5, 0x1b26c7c8, 0xdee12a02, 0xa03d9162, 0xd7125fcf,
+    0x58d5ab2e, 0x6c3e0ec9, 0x43c2628f, 0x4415cd4c, 0x32bf6f31, 0xbea8ba3d, 0x3c625f43, 0xbc15d955,
+    0x7191b272, 0x7b0ff963, 0xcc2c657c, 0x08dd11c2, 0x84e8e817, 0x4b504b51, 0xbb38554c, 0x983e61a5,
+    0x73c7cd31, 0xbe4068fd, 0x1f90a2da, 0x1ae8b193, 0x50546708, 0xd1f47779, 0x22c8050c, 0xd38ae6c7,
+    0xf7ada052, 0x15ad073d, 0x80f1931c, 0xd7c3e263, 0xf4eab701, 0xaec01e71, 0xd0803ce2, 0x9a5fe63f,
+    0x459932b7, 0xac3ab21a, 0xcc5ee3e5, 0xd7101d1e, 0xafe3a59e, 0xcd204b64, 0x1ff77bde, 0x265456cd,
+    0xd19280db, 0x8f82da10, 0x2bdcd15b, 0xe66748c1, 0x17019851, 0xcfb4a3d1, 0xda4cb89c, 0xe27d9d9e,
+    0x8d55e34a, 0x4bd6c291, 0x89416d8e, 0xffb19d6e, 0xada1d09f, 0x13cd6591, 0x4b4a2c01, 0xbff8ca6b,
+    0xbb518b8f, 0xd59f18d8, 0x023a94f6, 0xcfb1bcdb, 0xeb7a5900, 0x574f4f0a, 0xfb1a72a7, 0x16d903d3,
+    0x80130a26, 0x96d4eb16, 0xee303cb8, 0x44e81cdd, 0x5cf55dcf, 0xe62524c2, 0x0db2a3a9, 0x035c3458,
+    0x6e4685cc, 0x5d0c639b, 0xa934b6ef, 0x3a3d3c56, 0xa3248f0a, 0x8387bc53, 0xc6fe6bf6, 0x6d41c436,
+    0x49007d04, 0xf10ceadd, 0x5947cda0, 0xb0bec908, 0x5d60dad4, 0x2ab08e93, 0x306161af, 0x3bbe8a83,
+    0x0dff6364, 0xba89c386, 0x36808585, 0xd015bcaf, 0xc3a35053, 0x1892b115, 0xc57d56f5, 0x11b2bb4a,
+    0x795039c4, 0x12c3b980, 0xfa8e8fb7, 0x6d74617f, 0xca57896c, 0xe645d6f4, 0x27dc3fe3, 0x101ae114,
+    0xe6087adf, 0x79b6187f, 0x6e6e8cd9, 0x44f968e2, 0x49a4e157, 0xa6510eda, 0xce4050ea, 0x97079572,
+    0x65c49b9d, 0xfb003558, 0x6915de3d, 0x9ff02a3e, 0x7c637a1b, 0x33cda3e7, 0xc405e64b, 0x2c26bde2,
+    0x9ba207c6, 0xa806865e, 0xab372b1c, 0xd7617b49, 0x78766c70, 0x36e8ce08, 0x83082acf, 0x2d9492a9,
+    0x857f7906, 0x2333f48c, 0xa3c48754, 0xd341a6cc, 0x46696d03, 0xb7ec9c51, 0x9000eda7, 0x78c4ccb5,
+    0xd51359af, 0xff3a20e8, 0xecce1e74, 0x36f21d38, 0x33caa3f0, 0x1dc5d2bb, 0x46512db9, 0x49d8103d,
+    0x59006d54, 0x4e70c82c, 0xa57256ef, 0x91cb8b32, 0xc2aa6b62, 0x63dab547, 0x19487bf4, 0x5dcb18f4,
+    0x33074354, 0xa5cde67b, 0x3ef54889, 0x36d63d0b, 0xe7235b08, 0xec9d56cf, 0x41a0da07, 0x4157d896,
+    0x6149fd0d, 0xed249840, 0xc57bf8d1, 0x7301e004, 0x0d0e2cbd, 0xa5d78084, 0x375ce491, 0x6c511515,
+    0x6b83aaaf, 0x92132896, 0x9b215e1c, 0x66b03b72, 0x9e5c9091, 0xf2c02b31, 0x3c50d825, 0x5c070d92,
+    0x89799c32, 0x66ba9a8b, 0x2b75d2f5, 0x39ed54e6, 0x29a8fa6e, 0x6c8969d4, 0xcb1757a8, 0xde26476f,
+    0x1ebbd14e, 0xa9103ba5, 0xb3d7a850, 0xb33d1bbc, 0x25a5c650, 0x4f9c2bc5, 0xd3fafd31, 0x89b94fdf,
+    0x9efe1301, 0x49f6c61e, 0x3922046f, 0x290e345f, 0xbc098e19, 0xc726abeb, 0x613296bf, 0x6d21ba92,
+    0xd9033d34, 0xa7e7828e, 0x01ff3a74, 0xdf97ea44, 0x31b0445a, 0x53fa6da1, 0x5ab20e1a, 0x53d62262,
+    0x46afff17, 0x30fdfe97, 0x013ad23d, 0xe8a1302a, 0x7580abe6, 0x0ffe5586, 0x75d844c8, 0x3aa4c13b,
+    0xcba99d1c, 0x1a8a16c1, 0x373ea22a, 0x51c08684, 0x8afce1d1, 0x594938b3, 0x7ff52a99, 0x89a524f2,
+    0x63ed33bd, 0x4d1e8feb, 0x0ee0e642, 0x933ff55f, 0xeb5d828b, 0x6a6c4d4c, 0x9029d19f, 0xc19973ba,
+    0xd0a72596, 0x9a1d9bc3, 0x00785845, 0xea71e4cc, 0x5614022b, 0x094e9397, 0x06784c96, 0x82c9328b,
+    0x00000000 }, /* 10**-00000000000000000116294195887297102487891809262080725496582617709970889645038\
+                          43186890228609814366773219056811420217048972200345700258846936553626057834496 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562d,
+    0xc92a6fef, 0xa30f4c5f, 0x335e042c, 0x455c18b8, 0x3b682a93, 0x8a5e853d, 0x794236ff, 0x5346b565,
+    0x00000000,
+    0x80a279fe, 0x5edaf4fb, 0x6bd4ea9c, 0xd6eaed52, 0x18ab9d41, 0x281bd5ee, 0x1ceb1e8f, 0x57e6020c,
+    0x62f0f99e, 0x10875dfa, 0x7cf817e2, 0x8c928f9a, 0xaf80c040, 0xc6befe5a, 0x92ebabd7, 0x0bd38ec3,
+    0x77c9e890, 0x669e4afd, 0x21ef1218, 0x6424fda8, 0x2312c411, 0x3e82bd88, 0xaff389da, 0x6e5c60e3,
+    0x11dd1f1b, 0x8e499cca, 0x038185e1, 0x16a76043, 0x8a3a6de3, 0x0b3e1a5d, 0x2496a70a, 0xe36f985d,
+    0x987183f2, 0xe1759312, 0xa3cd049c, 0x97e590fe, 0xa9cadd96, 0x8f32d7fd, 0x4bbc4478, 0x146a9fe9,
+    0x9debbd83, 0xabd13bf9, 0xcedba65d, 0x22ec592a, 0xf157aa47, 0xb568c967, 0xd6a8364c, 0x40463245,
+    0xebecffc8, 0xa1eef4be, 0xeafe5475, 0xf1721af5, 0xbd636c87, 0x17b284ed, 0x58d37a44, 0xacbd1082,
+    0x8d43fd3a, 0x03f86855, 0xde38501a, 0x902355d0, 0x0d85813c, 0xd85e3b5f, 0xede474dd, 0x7dde6ce5,
+    0x9f06f6e2, 0x797ffd99, 0x22127456, 0xaab8d05f, 0xe2b48832, 0x8f90cd18, 0xb6a934f0, 0x16bd72f5,
+    0x358eeade, 0x8b484536, 0xaa49a1a5, 0x1a59cfed, 0x28a5368a, 0xe795fbd1, 0x439d916c, 0x9f0e660f,
+    0x765db150, 0x63691428, 0x039944cf, 0xbd88e46c, 0x5f0e52b2, 0x90615723, 0x0792c971, 0x6103bcf2,
+    0x582db2c3, 0xf7e65301, 0x12f78177, 0x9804d2da, 0xd5effce7, 0x24427bdc, 0x102f5300, 0x9cd4ea25,
+    0x8808d3e3, 0x990acc55, 0x620d539e, 0xb3b9c737, 0x3d15a6db, 0x7e4aa58d, 0xcac38583, 0xea02028e,
+    0xd2bed0bc, 0xa7653d87, 0xa067f915, 0x5f52cd2a, 0xd219f95d, 0x3f1181b6, 0x1e0332ca, 0x2cdaf93c,
+    0xb7bc3d22, 0xb590208f, 0x8ce2bd2f, 0xcbb959c4, 0x83451b72, 0x885b66e5, 0x3931878c, 0xdd7f149d,
+    0xae43cc6f, 0x0c17cbfc, 0xf6c24ff1, 0x81da47ff, 0xb2af15e5, 0x825826ef, 0x35d68318, 0x43aae96e,
+    0x4dba6383, 0xdbc26e7b, 0x511cf295, 0x4f5d6160, 0x283fb03c, 0x594946c2, 0xa10c9d48, 0x2cac0000,
+    0xe94dc2ad, 0x3579af0f, 0xc3c70f99, 0xf40081a9, 0x2e444163, 0x9b5efc52, 0x7c0812bc, 0x2d3e625c,
+    0x40c6254d, 0xfedec5d1, 0xd97e8dcb, 0x62fd6d13, 0x25352b9a, 0x3d7bc329, 0xe8f26b04, 0x3ca28c3e,
+    0x994adc22, 0xa4c1deae, 0xed68fb4b, 0xe64052c8, 0xb5e4d4a4, 0x8480b9f5, 0x8072229f, 0x637e0484,
+    0x54f84e2b, 0x9257d795, 0x5815fd5e, 0x7d89248b, 0x4e1fb4c6, 0x50314d2a, 0x0b0e3a88, 0xa0c739a6,
+    0xa632191a, 0x5509c7f6, 0x9b554125, 0x0bd0fada, 0x9ad03f18, 0x72b56f35, 0xb6b8ad4e, 0x9b22d5de,
+    0x64c751d4, 0x4d11de19, 0x84d28aa3, 0xe99f1225, 0xed6b0aa6, 0x3254acca, 0x15839976, 0xfdbc7856,
+    0xf12c20be, 0x6da6b20b, 0x9284c80d, 0xa34e8ced, 0x2ad02868, 0x95cd66de, 0x2a0a94dc, 0xaf450dca,
+    0xaa31aa55, 0x41678853, 0xbfb030ea, 0x9a9d39e0, 0xf8f8630c, 0xff8e90ad, 0xf557af98, 0x096234a2,
+    0xc5934b31, 0x88767c5f, 0x2b7e722a, 0x1e0bbc3c, 0x287f0f72, 0x026c858e, 0x14e98d61, 0x0b3461ba,
+    0x144445c8, 0xe85ec2e7, 0xe9c83294, 0x34ff8bac, 0x99742ddf, 0x846c8c6d, 0x36978c69, 0x72cf7b60,
+    0xed718694, 0xf2a2f6da, 0xda2cd895, 0xc740e55d, 0xbaeac3eb, 0x73da1bf7, 0xc01474c0, 0x68c29562,
+    0x801e8232, 0x13753ff4, 0x542bf842, 0x7ec5f061, 0x728a0d06, 0x2ca9aaf6, 0xb0d90f42, 0x22d5521c,
+    0x44672797, 0x8e2ae59c, 0xabdae857, 0xabfbe7b7, 0xe0e4d1c5, 0x32646410, 0xc4e61528, 0xb4677f38,
+    0x87a71297, 0xd9104cdf, 0x3dee95d5, 0xce0f9f0d, 0x31ead12d, 0xc3ffbb30, 0x6dd6661a, 0x6e57073c,
+    0x5deb5b52, 0x669eed8c, 0x6714b0a9, 0xc76114f3, 0x964e4db1, 0x40284a4e, 0xc8c8044a, 0x10af2b7b,
+    0x7df860c1, 0xd5707e1f, 0x6ad41d7c, 0x62a1d4c2, 0x8616c489, 0x9027328a, 0xa829301f, 0x9d18a04e,
+    0x8ce3ab1d, 0xb249fb74, 0x8fd1d8e2, 0x0ec82531, 0x16f8aa24, 0xe85aabe8, 0x4ae90bb0, 0x43396848,
+    0x033c1a73, 0xa020b273, 0xa30bbb7b, 0xb055d17b, 0xe3ddf75e, 0xd75dfc99, 0xbd6faffc, 0x2353f816,
+    0xea6fe550, 0x71ad2d8e, 0x88525313, 0x88d903d8, 0xc227633c, 0x6b889d70, 0x66768ad2, 0xd778a8d8,
+    0x0ee5a30f, 0x6ae6e75b, 0x52f69275, 0x70ec8da0, 0xde274b44, 0x717ca9af, 0x175f53c0, 0x341184a1,
+    0x8dee3db8, 0xd2e65ded, 0x71344d71, 0xa247d64e, 0x54309c74, 0x7d9c2691, 0x2641d4d5, 0x3d405086,
+    0x534b7f29, 0x41e4851f, 0x3d03cdd9, 0xa7e929ca, 0x6edd058f, 0xb30ec816, 0x90817f03, 0xfc12adb5,
+    0x59d452d5, 0xe211719e, 0xfe0a2591, 0x9f9e0468, 0x8ccfd8f8, 0x5e4a9cb7, 0x0882574c, 0x1571d111,
+    0x743d409b, 0xc737c900, 0x8d12ecd1, 0x1bbb9cbf, 0x52eb8dc2, 0x9b8be53c, 0x03a414f1, 0x66e841b9,
+    0xa03ff60d, 0x1842e4c6, 0x9f2a00f6, 0x4fced501, 0x54706bae, 0xf149a18e, 0x7833baf8, 0x3ca82a11,
+    0xad5a4559, 0xc782e48c, 0x006845c2, 0x8d8d7a7a, 0xc14ec6cb, 0xd009dd9c, 0x686df83f, 0xa001dabe,
+    0x423e7876, 0x9c7a6e85, 0x5a5cc89c, 0xc3e86ad0, 0x69c71c26, 0x7badee10, 0x134c349d, 0x05955bf4,
+    0x190ebd04, 0x35d1e007, 0x0eb13644, 0xa23b7a96, 0x91188323, 0x97152224, 0xc67f5588, 0x5f1121cb,
+    0x6443f45d, 0x0e763674, 0x7795f003, 0xd325e728, 0xcea94cd4, 0x3a23ccd5, 0x8c27d45a, 0x15ff984e,
+    0x21f55e61, 0xf5548587, 0x39becc1a, 0x3d3101d0, 0x1b14ccff, 0x3fbd31df, 0x6bb6526f, 0x5a432624,
+    0x6e790632, 0x7941e567, 0xc5b0f6fc, 0xfd7966a3, 0x79531a27, 0xf5bc2bcb, 0xbd4b85a2, 0x78b26d8a,
+    0xb4db2813, 0x07659280, 0xe88c0541, 0x4b131288, 0x5a413427, 0x26c95310, 0x36ddb5b4, 0xbf3f610e,
+    0x17706365, 0xff6bc1d3, 0x3f5f3c05, 0x054fc7b4, 0x1c435632, 0x7d9710c3, 0xe57aab0d, 0x1ee68f95,
+    0x4723d258, 0x1d4dff7c, 0xd85caba9, 0xfc6ed2e7, 0xb5d4646e, 0xa9c8aa77, 0x64d38eb9, 0x10729263,
+    0x03c507a0, 0x0a7dc2fb, 0xab6a7f1c, 0xe25ba629, 0x82fc321a, 0xbced7d8e, 0x63a4fbe7, 0xc3f69dd5,
+    0x70cc3802, 0xef6dc18f, 0x69608fb1, 0xf26f3198, 0xad75591f, 0xcc14f1cd, 0xb19aaffe, 0x853cee26,
+    0xf59ca026, 0x9135844f, 0xfb607e8a, 0xd771c8a7, 0x81965711, 0x688dd730, 0xa59a59af, 0x4363d7a5,
+    0x5648fece, 0xb48d0f41, 0x575d9480, 0x273130d2, 0xf4f93e62, 0xec660b03, 0xc9d17ed1, 0x3fd05e1c,
+    0x97818773, 0x224960e2, 0x1eae25dd, 0x1490642b, 0x372a0579, 0x4716cabb, 0x91f43f49, 0x805639c2,
+    0xa9dd53d5, 0xf94ea970, 0xc942fa07, 0x5e6193fe, 0xb0329986, 0x19c9b916, 0x496bd27c, 0x5e433e03,
+    0x5c0b073b, 0x0e22aad4, 0xc2eaf353, 0xc2537877, 0xcc0c2269, 0x70d44f5e, 0xe5b2141d, 0x43be03c3,
+    0xa40ae2e2, 0xbe608410, 0x6277d508, 0x8d407561, 0x960bbfbd, 0xe7558237, 0x9d7c3eb1, 0xf42c5047,
+    0xeccc1a46, 0xde023591, 0x29ec2d17, 0x7cc0f55d, 0xd539cf50, 0x4283c5b4, 0x66a30408, 0x3cebec4c,
+    0x3596356b, 0x582088be, 0x5a0493bd, 0xeee6bcb7, 0x65dea907, 0x7c19efee, 0xc11a333b, 0x8f3d68b4,
+    0x6d3b6346, 0x6412c8b9, 0x5cf20fb8, 0x2bfea087, 0x1aefb5c2, 0xf2b7f4b0, 0xe482254e, 0xa02924f8,
+    0x5726d8f4, 0xd02f2756, 0xa2374547, 0xd9f897ec, 0x13cdb1c9, 0x251c0b4e, 0x9ccdb061, 0xcdc56033,
+    0x6062b1dd, 0x6e29c24e, 0x67a6fe11, 0xf219477f, 0x5cf75445, 0x333fa7a9, 0xa3f1271c, 0x5ec4f404,
+    0x782ba3e5, 0xd8ee8307, 0x28c4b69d, 0xd186f8cc, 0x4fc6e56f, 0x8233faf5, 0x904ef863, 0x44a08c19,
+    0xd2f3336e, 0xa74ed348, 0x7092e1f9, 0xce850abf, 0x7744506d, 0x71c5aafb, 0x14fe8442, 0xfe3ca7b5,
+    0x9e42d87e, 0xaf8a49df, 0xc481847b, 0x44e2d72b, 0x014e3fab, 0x2997ac93, 0xd6ca7622, 0x2c5cc4ff,
+    0x5e3d0b09, 0x61ec3d01, 0xe7e3b7c8, 0xe8c42ba5, 0x285ac02b, 0x089d759f, 0xd92c756e, 0x0cf4d072,
+    0xdead4329, 0x94e93ec2, 0xdaee52c9, 0x925b839e, 0x44cec9fa, 0x0452bab1, 0xe5e86f78, 0x21f2fa68,
+    0x1884a201, 0x7dc294ee, 0x016a5a3a, 0x07fb7dd5, 0x1d898f1d, 0x11767705, 0xaac21950, 0xaa452c31,
+    0x2b5a08a0, 0x6f38e589, 0x875177af, 0x028d877c, 0xf4133f31, 0x0e405a29, 0x089fbe75, 0xfd4e6e68,
+    0xf5563420, 0xb9afeed3, 0x69c535c0, 0x0f90e87e, 0xc111615a, 0xa840adab, 0x4d2c331f, 0xad68a7bc,
+    0xb7c508a1, 0x2d944c8a, 0xa2421f8b, 0x9b63c778, 0x63087528, 0x3b78b7d7, 0x0a477203, 0xac25975b,
+    0x3d0f7970, 0xea4a80c9, 0x14290d4c, 0x91311115, 0xad37f320, 0x5dc527a6, 0x96bd0f13, 0x51fd922a,
+    0x208d02d2, 0x7828d7bd, 0xd3ebb105, 0xbe28d52a, 0xef0695fb, 0xa29cce9b, 0x59cafb91, 0xffd72a69,
+    0x527523a5, 0x2ced5f6f, 0x4ac6fbb9, 0x86968ad4, 0xe96e8824, 0xc4fb1192, 0xb9d42ef2, 0x8adb5b0b,
+    0x3fcbdbc3, 0x847ce6f5, 0x08ace9cb, 0x94b9078e, 0xc9b0f7f7, 0x077e9818, 0x0992bd5f, 0x3bf00e57,
+    0x2f3d3265, 0x289fcb48, 0x7f83ccfe, 0x2ac7c681, 0x196fbfeb, 0xd36b0d05, 0x1186725f, 0x50fe0e38,
+    0x5156535a, 0x9acf6925, 0xfac87a2b, 0x96f8f2fd, 0xf5801d7b, 0x3738cbf2, 0x60c68d45, 0xa14bfee9,
+    0x28a8a1c9, 0x34904fe8, 0xb2755183, 0x1909a791, 0x4fcad9f6, 0x6d914b3a, 0x6ec72e2e, 0x1bc86b2f,
+    0x70ec752d, 0x88ba767c, 0xf1047d8d, 0x3a6341a1, 0xfd57e9b0, 0x3e112d31, 0xef774244, 0x9348d015,
+    0x875e23d6, 0x171e1fd8, 0xed6f8c8b, 0x06ad2341, 0xdb04c8ae, 0x1ce8f40e, 0xbd100429, 0x686f25e5,
+    0x5d52ee9c, 0x3a73b205, 0x912ca7bf, 0x38c62cab, 0xa8261a40, 0x5d7a91c6, 0x66b33759, 0x6d26ba79,
+    0xea2d3a26, 0x33f55536, 0x02636a3a, 0x2fbea95b, 0x81afc8a7, 0xa268cbf5, 0xf0c42910, 0x9c5b83f9,
+    0x95b877e0, 0x4c898814, 0xf199e4ec, 0xc3a447e9, 0x1c0d1094, 0x0a81f304, 0xb71bc760, 0x13b875b4,
+    0xf3a1514f, 0x2391753b, 0x787a7004, 0xa4a9f40e, 0xaad4cb4a, 0xadfc5a3f, 0xb889a40b, 0x3a0f66f7,
+    0x362648d7, 0x0187edb6, 0x217ea673, 0x466754d6, 0x3a4700cc, 0x80a18286, 0x51356698, 0xe47e5153,
+    0xb088ae0c, 0x6196d9f2, 0xebf37243, 0x2cd56cc3, 0x2d722146, 0x4d3d8bb3, 0xcd100edc, 0x0f992b59,
+    0x0b037449, 0xe19183a4, 0xcd16fbcd, 0x57f18d50, 0xe8e12293, 0xc81f4652, 0x15b48687, 0xc1c5f660,
+    0x3b9c8649, 0x0c54627e, 0x03e3a20d, 0x53300c51, 0x3326b5d4, 0x94765236, 0x3713a111, 0xf4273fee,
+    0x15a1059b, 0x76e4c2ad, 0x1cd70282, 0x332c992f, 0xbcd2addf, 0xb67837c0, 0x199c256c, 0xe5f20834,
+    0xc94e07db, 0x72390af5, 0xa4194690, 0x57ed4a35, 0xb536e14b, 0xde063296, 0xd6b40648, 0x85eafaa2,
+    0x989e29a0, 0xdfde252e, 0x87f4116e, 0x5eabd994, 0x5d00e9b0, 0x26c5797d, 0xc7dc85d6, 0xf14d32a1,
+    0x3d9da320, 0x74bca4a8, 0x0721f16c, 0x168457c9, 0xccc0407a, 0x85e6aca8, 0x1ee47907, 0xa5d20321,
+    0x832a4bf1, 0xba576e7b, 0x8f0345f6, 0x65db1b66, 0x17fed5d1, 0x3e4753cc, 0x81775b11, 0xfbd75e17,
+    0x5fbcb94c, 0xe4c3dd39, 0x32326e3c, 0xd42c8612, 0x1f184762, 0xa418d85c, 0x7e61e353, 0x0493bd26,
+    0x6e459bbd, 0x3346d1d0, 0x2317bf5b, 0x68afdd18, 0x677f8798, 0x57c39b20, 0xb8fcf7d6, 0x88922ae0,
+    0xf2486d06, 0x4746aa4f, 0x1898cd80, 0x8e59a968, 0xb2af41a8, 0x24b6b4f6, 0x9ef2cd33, 0x12d5cea3,
+    0xfd310a75, 0xa7026f6c, 0x6a8b9de5, 0x2364be22, 0x6cd11253, 0x8bf02a65, 0xf8c0e6d7, 0x7628234d,
+    0x597be120, 0x207823bd, 0x97290523, 0x1246b579, 0x99a8d674, 0x25a023fb, 0x953f522c, 0x7d2a5860,
+    0x0794ffd2, 0xc43d2d41, 0x23ae0571, 0xc76c667a, 0x633ce89f, 0x34c3b5b9, 0x4b9efe3e, 0x8010a40e,
+    0x96e75807, 0x152ae106, 0x10feb073, 0xe1def895, 0xe8841e5a, 0x762d0edf, 0xa81a47ac, 0x54e30eec,
+    0x43df3111, 0x5c864df8, 0xe96b41f6, 0xd3fd788d, 0xf78071c2, 0xd7766cd4, 0x22952fe3, 0x7c2de519,
+    0xa11af2b2, 0x61e12ea5, 0x0a269bf6, 0xa987c504, 0xa18a184d, 0xcdfbae3b, 0x00cfec7f, 0x233e7676,
+    0x5864905f, 0x1a0fcae8, 0x057ca061, 0x9224b6b1, 0x3f0923c4, 0x3bd9a311, 0x9ed4fda5, 0x45b05f2d,
+    0x88f8d175, 0xc98f903b, 0xd042af35, 0xcb20b59f, 0x62a0cfc0, 0xca6c292d, 0x0e18f9f5, 0xde6f6bd6,
+    0xdc4ffdec, 0xa041007e, 0x1a4d90ed, 0xb81b5920, 0xc8f66e9f, 0xd7ab324f, 0xbbe76303, 0xa1e05af5,
+    0x255a468b, 0x3b68c65e, 0x0761df72, 0xb3e46d95, 0x9b7090a7, 0xc6f001b7, 0xbbc5db67, 0x85373451,
+    0x7022e308, 0x4e59e37a, 0xa30c8601, 0x752e9082, 0xc6afceb1, 0x500fc27a, 0x80e203de, 0x8e0efdc8,
+    0x4bbf83be, 0xd35e3b45, 0x378ccfad, 0xb9faa9f8, 0x7305062f, 0x66352e5e, 0x77f03c47, 0xca7ffad6,
+    0x0aae56ba, 0xe53362b0, 0x63e1654f, 0x61947d19, 0x3506cbd6, 0xe10c7670, 0x014a34b4, 0x2abdee7f,
+    0xbc9b6395, 0x276485f1, 0x3dc58c13, 0x72ec81bc, 0xcb67f0d3, 0x5085e954, 0x8ae523ca, 0x8b719bce,
+    0xf40b4292, 0xeabaac4f, 0x6dd795ad, 0xd1c77334, 0x64954c58, 0xbe00aa3a, 0xe2f5bec3, 0x1d7fcafc,
+    0xbc7d3766, 0x71ada5c8, 0x92e64940, 0xc7385246, 0x72c28e8b, 0x091b3636, 0x5c56a793, 0xec8b557d,
+    0x1f22a229, 0x665f3530, 0x01366b36, 0x78b2ea60, 0x971f9181, 0xe5fe066e, 0xb4a8e1a6, 0x48f12c86,
+    0xe6639a01, 0xba75066d, 0x762a71a4, 0x28f07bcd, 0x7d15b14c, 0xe9a4ae72, 0xe55c5bc7, 0x44b2b542,
+    0xf2bd4cea, 0x1c6db095, 0xd63ebd50, 0x877a7e9d, 0xc83c48eb, 0x7ec09293, 0x4d8f614c, 0x7a1b0dc1,
+    0xdb7c239e, 0xc64b17cb, 0xaa89a359, 0xe699a563, 0x6d202180, 0xa5604899, 0xec6c9670, 0x54401d2b,
+    0x557ea6f0, 0xd5ced3b4, 0xbc50ecb7, 0x66f6bf06, 0xc78f5b15, 0x2670de6f, 0xdfee6e8a, 0x153ddaaf,
+    0x3b1e31cc, 0x644272fa, 0x80d71c0d, 0x084e9ed2, 0x9f4bcbd3, 0x261776bb, 0x46c39f0b, 0x10097026,
+    0x26d13a3e, 0xa145df9a, 0x5531f737, 0x13c2eb12, 0xb8a6ca94, 0xdbf43a2d, 0xb4c4371f, 0xa0cb2e31,
+    0xb1f8898b, 0xe01c2310, 0x82298818, 0x2b19016a, 0xf15e4161, 0x0cc6c127, 0xddebe85b, 0x8512b813,
+    0xcb6a10ab, 0xb34fdff8, 0x25bc6bbc, 0x0769356c, 0x16b9efdb, 0x5dcd595f, 0xac3e9f6e, 0x08860ad9,
+    0x43c45ea5, 0xc6613856, 0x8483e025, 0x2aeeec50, 0x4d90f94d, 0xaf957df7, 0xad05e2ba, 0x41ec69dd,
+    0xb4f1ad7e, 0x2404c2e0, 0xa68fe6cf, 0x6b980d0a, 0xcfdcd9c8, 0x4f681dfe, 0x2d4e786b, 0x8b845a53,
+    0x831c65ea, 0x61bc02e4, 0xf7c849dd, 0x1fc2ef29, 0xc0960c7d, 0x16ded025, 0xb614beb6, 0x530afc99,
+    0x00000000 }, /* 10**-00000000000000000058147097943648551243945904631040362748291308854985444822519\
+                          21593445114304907183386609528405710108524486100172850129423468276813028917248 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16,
+    0xe49537f7, 0xd187a62f, 0x99af0216, 0x22ae0c5c, 0x1db41549, 0xc52f429e, 0xbca11b7f, 0xa9a35ab2,
+    0x00000000,
+    0x80512347, 0xd71aa2a8, 0x794fa64b, 0xb092b3a6, 0x243f104c, 0x541d8516, 0x13ff9fda, 0x8ec20293,
+    0xa2dd85c6, 0x87745c05, 0x2c913ad5, 0xf2f32d52, 0xc2cbdcb6, 0x9f212bc4, 0xe7d90507, 0x846f0f1a,
+    0xfe9b4823, 0x9dd3d90e, 0x9a6e45a7, 0x9cc8c64b, 0xf639f652, 0xc2a512c5, 0x6e978244, 0x0a52b361,
+    0xd39c6405, 0x95f2f950, 0x29a386e7, 0xcee566e8, 0x7eb73d8e, 0xcde4c972, 0xfafc0762, 0xae5515ec,
+    0x30d115ce, 0xcd13fc17, 0x95ea9880, 0x3301513d, 0x3595bf04, 0x2d42fa05, 0x99cf82a4, 0x7c9d3a68,
+    0x092e6b00, 0x5847b24a, 0x02a4ed69, 0x11cb0906, 0xe339a855, 0x5943b66f, 0x168229ff, 0x2546d187,
+    0x44cb502e, 0xe8da1725, 0x73668c62, 0xc811a12d, 0xc6178bd8, 0x2a6b908d, 0x8c6cfe89, 0x8f01c6d4,
+    0x592eb31d, 0xf63d3b7b, 0x6ec9e1d1, 0xd9c2a7e7, 0x9daba9fe, 0xf1802014, 0x7f037e10, 0x972744d3,
+    0x6da34ab4, 0xc8221c3c, 0xeb80110a, 0x06ed261f, 0x31b3bffd, 0x01537fe7, 0x5accab92, 0x3145ed40,
+    0x01d7398b, 0xa3753e97, 0x80e0a691, 0x297336ad, 0x148ac0d5, 0x5f0660f6, 0x85f6d710, 0xfdea99bb,
+    0x6759fedd, 0xf5945c83, 0x0add4f49, 0x9340a036, 0xe72fdc52, 0x0881984f, 0x5cc08e56, 0x2cf19de6,
+    0x6021a426, 0xf947112d, 0x741276fd, 0xb8bb5380, 0x3d986ddb, 0xfa5606cd, 0x5ebe847f, 0xef6d865b,
+    0x8bf04cf9, 0x85f488cf, 0xff6abbc8, 0x073b5909, 0x40b64025, 0x54ac2d25, 0x6afe32a3, 0xfa40843d,
+    0x5fa12987, 0xc4e9900e, 0x19fc805a, 0xf0e8f078, 0x1f181225, 0x9e0312e5, 0xa88cbe75, 0xa8bbd1c2,
+    0x5c6c8183, 0xe8c1d03c, 0x14b28148, 0x85ed27c7, 0xc2f18a1c, 0x83c2a695, 0x37d06a39, 0xfdd60d43,
+    0xf9ca87d6, 0xbd775ac4, 0xd03a177b, 0xcb0c9051, 0x98d9dc46, 0x814fd1f8, 0xaa616a1b, 0x41fe5543,
+    0x572f0ca9, 0x3a55f318, 0x95ad5cf3, 0x6c6a0888, 0x1ea56d44, 0x2fbbbe01, 0xbfe0a990, 0x4ef4eb5d,
+    0xfdf054e9, 0xe152a6c4, 0x321dcfa9, 0x084c7981, 0xaa031649, 0x0f36a0f4, 0x415de4ab, 0x3f896da1,
+    0x35234df1, 0xa8e5fbb5, 0xf439a836, 0x321e8634, 0x2562f307, 0xcf665bda, 0x55bdcb71, 0xeb491030,
+    0x0ea245fb, 0x7c347c97, 0xe0ad9f33, 0xefb63f23, 0x2cad20d9, 0xad855dcf, 0x5907e596, 0x0ba9883d,
+    0x4da9fb55, 0xd83d0b01, 0x1cbd1044, 0xf726e625, 0xff8db31d, 0xab51ff83, 0x04fc76a9, 0x04b604de,
+    0xb9c282a0, 0x709f178b, 0x9eb6300c, 0x52de019c, 0xdfee82be, 0xfcf7819f, 0x18d48f5a, 0x6543b2cd,
+    0xa15e71dc, 0x55b68b35, 0xfab8d2f0, 0xa4b4fe27, 0x9b284b91, 0x8dd5e874, 0x32002523, 0xdf9d53a2,
+    0xf5c7908a, 0x679189b3, 0xa908cf2c, 0x175f2530, 0xf75928b1, 0x0d96db88, 0x9c336b85, 0xfc0abd7b,
+    0x0e873ae7, 0x0f11b57c, 0x716cbeb7, 0x07260d00, 0x6fb9ddbc, 0x66942f4c, 0x1e2e9cfa, 0x5bccd1c0,
+    0x9b630693, 0xf2190e80, 0x1c1aec78, 0xf4cde9be, 0x669dde62, 0x742e78d9, 0xcd3ab642, 0xe2a41be2,
+    0xdfa4b229, 0xea70ef97, 0xc9d33b26, 0x78f4273e, 0x2316ef4d, 0xa5952d95, 0x9b169516, 0xea9fd71f,
+    0x439184e5, 0x518964e1, 0x159f666b, 0x13fa8424, 0xe3889577, 0xddd93747, 0x8860a108, 0xf111441f,
+    0xb4aef1d7, 0xe6d7c75f, 0xa7cca81a, 0x72b2b398, 0xe2927c0d, 0xdd7a8307, 0x90aa97a1, 0x185403de,
+    0xce33fa3b, 0xbef2e203, 0x05fbca29, 0xb59412cc, 0xf4c06494, 0x52fe5713, 0x25693399, 0xad76ff31,
+    0xeda8c0e0, 0x01980a11, 0x3ae3cb2b, 0x8628e8c4, 0xe0726054, 0xe325f2a4, 0xb31beb85, 0x108d31ab,
+    0x6466c11e, 0x7a68bfe2, 0x525b9567, 0x3a437f81, 0xe214cf2d, 0x606543a9, 0x31fe0e1b, 0xcde348fc,
+    0x132678f8, 0xd1f8de9e, 0x2b23be82, 0x4e80af88, 0xe4558a99, 0x706230f9, 0x15e30692, 0x671d66d6,
+    0xdd277312, 0xe018f30b, 0x71b08832, 0xf7c23c9a, 0xda7aff71, 0x36905008, 0xa22e202e, 0x2bac9f32,
+    0x8c99887a, 0x02a2ec86, 0xcbd34d8a, 0x2f53a5f6, 0xcc5a41ed, 0x7c3ab0a5, 0x18675b01, 0x5990d407,
+    0xa42841fc, 0x042ef6ba, 0x8fbfe84f, 0x49d673d3, 0x7f50072d, 0xbd48cad0, 0xa2770053, 0x312d7024,
+    0x98752d74, 0x0a79cbed, 0x0dfe3562, 0xc39077e5, 0x46c537fc, 0x9cf92078, 0xb64fe213, 0x67a3d57a,
+    0x7db88b87, 0xe9c1b213, 0xaf7fc9ef, 0x13baf720, 0xcb03ccc8, 0xe617ea67, 0xadfb93d1, 0x010a5ca8,
+    0xddb90801, 0xb5b474d4, 0x9a893117, 0x62625ee0, 0xf32e4ac6, 0xbb30270c, 0x0906e635, 0x06dae254,
+    0x9ae8b2f8, 0x9a7ae8b1, 0x0cc62915, 0x0fd90c59, 0x4306d3fc, 0x2ec9fff8, 0xc2cb9540, 0x5c11afa2,
+    0x5da34465, 0xcc789bfc, 0x60523c11, 0xb5be054c, 0x029e4bf3, 0x44be2fb0, 0x94a57ab0, 0x93a0cd18,
+    0xcd1ebc35, 0xb5ac4264, 0x0d543a45, 0xca49f63b, 0xfe7c9415, 0x684a3e13, 0x1f7206d0, 0x88503059,
+    0xcdcdd401, 0x8aba0b2b, 0x1b3d5b4d, 0x8ee88c89, 0xa3fd7309, 0xf4398ae7, 0x8fe290f9, 0xa455a372,
+    0x0140508d, 0xef6339fd, 0xb9d23517, 0x264e5636, 0x7d5291b2, 0x8ee2e567, 0x9a6fb7d8, 0x1886ff22,
+    0xa90ed4b2, 0xe8c7b79c, 0xb70e92cc, 0xa1d3ade9, 0xef7b13a7, 0x18f75fe1, 0x3a253a08, 0xdcb97b9d,
+    0x715b911f, 0xca85eaf3, 0x6fed1098, 0x03bac965, 0x295e688f, 0xda682a12, 0x1138a14e, 0xeb37d2b7,
+    0xfe175a8f, 0x30714dd1, 0xd6b175fb, 0x787002ad, 0x22401d37, 0x26f73653, 0x0da91a3c, 0xeb5a0297,
+    0x7e97799a, 0x46494294, 0x6cf21dc5, 0xa6150ff5, 0x82455b40, 0x046deb37, 0x38348655, 0x2142aeb3,
+    0x9a5bb760, 0xde615fa7, 0x46d17163, 0xbda15a6c, 0x397bc8a1, 0xda1e7d87, 0x50bbe9da, 0xe3287270,
+    0x37ee6118, 0x94665f92, 0x42520153, 0x161994bc, 0xbec2b079, 0xbb1d0b5e, 0x6f67adfb, 0xdf1db654,
+    0x7e830ca1, 0xbbbbc3cf, 0xe7788b93, 0xc7063972, 0x0c8c8614, 0xb37bb6f4, 0x2fd767b1, 0xbd9f69d2,
+    0xb8b7de07, 0xf5dbe4ca, 0x77e7817a, 0x16e6b052, 0x9e547d1e, 0x689974be, 0x546e16e3, 0xd992dd9a,
+    0xf7b7a858, 0x415dbdc7, 0x6b9be64b, 0xa237e8c5, 0x7ce9010a, 0x2b9a235a, 0xab121c40, 0x96c99703,
+    0x73b1c130, 0x71a32b05, 0x5ac4219c, 0xd16f5d52, 0xf916d996, 0x8630911d, 0x79145e1a, 0x97aa38a7,
+    0xff029bc8, 0xa9d4764f, 0x3cb17209, 0x4d6550a1, 0x42133f09, 0xf8399a1b, 0x9a0f137d, 0xf4eaaa7a,
+    0xc66c975c, 0x0dfdd77c, 0x8c6188b0, 0xbd09ea12, 0xade825c0, 0x0f2a6d67, 0x71cb6f30, 0x3cd8c614,
+    0xd83056f3, 0xf32b70b1, 0x555128f6, 0xd84dbb56, 0x2b631415, 0xdbea9de9, 0xfeb867c0, 0x7ef3e757,
+    0xfdcfd772, 0x34315452, 0x588bde70, 0x1c7fa6e7, 0x719b712b, 0x5ce35566, 0xf700f049, 0x03afa77b,
+    0xee28a931, 0xaf7118e1, 0x3434e610, 0x90eefa6c, 0x5f95d92e, 0x09642ae0, 0xa0453d0e, 0x33af6c9e,
+    0xe4652b25, 0x7dff9921, 0x5b094b97, 0x69cd1d18, 0xef2d9b93, 0xbbfb167a, 0xa4cb8cae, 0xb1891d73,
+    0xcb5f0eb2, 0x0e9abdba, 0xe62e4596, 0xfacf0a5e, 0x599a898b, 0x571bd473, 0x422368ce, 0xce2dc095,
+    0x8e9836f8, 0xe02524cd, 0x51c1a8ad, 0xf3dd783e, 0x06700e2a, 0x3d01c54e, 0x99718ba0, 0xae13b5a0,
+    0x97e39e80, 0xc18021d7, 0x0d57c41e, 0x2bd2fbef, 0x2d78efef, 0x464f6aaa, 0x848fb090, 0x04abe0fb,
+    0xee4fab62, 0x48b39f0f, 0x0b7ac1b2, 0xabc6e432, 0xf77f13fa, 0xdb934ddb, 0xb3436d49, 0x3a88c72a,
+    0xea9671c9, 0x06fb6f51, 0x148448ae, 0x47cd05f6, 0xc4f616aa, 0xeb37dddc, 0xa09ccb1e, 0x17e0eacf,
+    0x871233aa, 0xa17b3faf, 0x467527f9, 0x6b8b0549, 0x28c334f7, 0x9582d539, 0x96642ad6, 0xaf282e57,
+    0xea734545, 0x42cc26be, 0xfe4f12b1, 0x3c160abe, 0x1da70026, 0x4447e909, 0x443a7ca0, 0xde47ad20,
+    0x3b18c2b4, 0xd21a2dc0, 0xc81fce55, 0xf9ad3e96, 0x333b8576, 0x2a84ad02, 0x575cbb1a, 0xc31199f0,
+    0xb4704059, 0xb5a1dbb7, 0xb46b1faf, 0x25c7334e, 0xfac81679, 0xefe40f7f, 0xd3d016f7, 0x885c15f8,
+    0xc566e3a7, 0x4825c5ca, 0x7fe072bf, 0x464a26e3, 0x5750b046, 0xc2d5bc2c, 0xaf7577cd, 0xeab7d471,
+    0xf6c7a7be, 0x71d5e1b4, 0x43c77eaa, 0xdf4c3e9d, 0x0657b820, 0xb5123d60, 0x7522cedc, 0x37231ce9,
+    0xe75c9eda, 0xee9b03d2, 0x9e6fc64f, 0x3fc9ed0f, 0xbcd8eb9c, 0x5c529177, 0xa01756d5, 0x279cfe3c,
+    0x3b1d3003, 0x9df814a9, 0x9592a28c, 0xb6f57519, 0xb4ea4895, 0xf4f0e873, 0x9e5024f4, 0x6d76ab63,
+    0x62eedabe, 0xce197591, 0xccf489ae, 0x19092ba8, 0xcdd5c6e8, 0xb2b2966b, 0x3213635b, 0x370a319e,
+    0x76b5ccee, 0x8ad9e915, 0xac298994, 0xa49b9e2f, 0x9b658d9f, 0x2856a97b, 0xb7149b3f, 0x12d4222d,
+    0xdd423e80, 0x5de76228, 0x6111dc11, 0x4c6d8e70, 0xe3585f0d, 0x197c6b79, 0x66bd711d, 0xee25a6f7,
+    0xe3f3cc67, 0xe0d0f03d, 0x33771ecf, 0x849e3f04, 0xad398fba, 0x10c06c18, 0x817f98ad, 0x75c0337e,
+    0x6191081e, 0xafa3519d, 0xf15f714d, 0xe7f43c56, 0xab794380, 0xabc9e4ed, 0xd714a370, 0xff20666b,
+    0xca49b18f, 0x46e0dd1e, 0x0fa7638b, 0x364a719d, 0xb1f96233, 0x9fb7b2c7, 0xe6b13303, 0xe6050576,
+    0x6e79642a, 0x90801605, 0x1e6759b3, 0xce9e8106, 0x81c5db03, 0xffee82a6, 0xbc676342, 0x1a47bb4d,
+    0x0f8bf9b6, 0x6ee300c8, 0xa759f931, 0x6d260c1f, 0x8c22dc91, 0xa467f239, 0xe2139dbe, 0x13149d89,
+    0x435e099e, 0x3c054a60, 0x0f3d6c3b, 0x79ef1b3e, 0x3e192bcb, 0xa0342e04, 0x95f2c2e1, 0x931a21f0,
+    0x96b07010, 0xfc38a346, 0xdc4dc99c, 0xda8f5ff8, 0xfd574889, 0x595dd3e7, 0x9af0d787, 0xc887a606,
+    0x9f02baf9, 0x8554104a, 0xe6ed30cc, 0x52a1b216, 0x49731ac0, 0xf41e0008, 0x207b2eae, 0x6ff20a16,
+    0x0bdf4956, 0x72bcc2e4, 0x64b12a95, 0x99a27b60, 0x5b99f197, 0x6c20fc0a, 0x3d071511, 0x1f485fdd,
+    0x1d5c25bf, 0xc7bac010, 0xaea5efd3, 0x9cca7e5e, 0xb12e26e0, 0x2f74e435, 0x64aaab02, 0xd1db24f5,
+    0x6abe6398, 0x4ccba7fd, 0x18a7283e, 0x56451c4a, 0x991035f2, 0x21d5fb49, 0xd26ccd92, 0x5373cb5b,
+    0x93eda7d9, 0xbe25bbc8, 0xfed226bc, 0x74dde805, 0x403985c4, 0x357c7773, 0x98ce92de, 0x9166eddc,
+    0x1c42e527, 0xa8ab55dd, 0x4eae6b11, 0x867d9d08, 0x32971b9d, 0x0c86880b, 0x9589e405, 0x55ba2e51,
+    0x32c73d44, 0x3ac71313, 0x67c03f29, 0x613ff453, 0xceaa6f7a, 0x7ae0f71e, 0x6fa4690d, 0x579dd5b5,
+    0xc2013f54, 0xf57557dd, 0x9667f097, 0xfe42529c, 0x442add00, 0x01120b48, 0x6dfde258, 0x0aa2bbc2,
+    0x5f0502f8, 0x66a5d6be, 0x45f6c523, 0xccad121e, 0x3fe88dd6, 0x6b2f55cb, 0xc5e69f5c, 0x2d13699e,
+    0x5c19945c, 0x26ac7a99, 0xf4b55197, 0x8f4ccc46, 0xcdd88d21, 0xd5d95539, 0x32608270, 0xca56543a,
+    0x4f43c281, 0x5e3f6e50, 0xead87eb2, 0xd6a2809d, 0x8f237e67, 0x619d84f5, 0xd2f813f5, 0xeac40e9d,
+    0x34b30c79, 0x9f016897, 0xedf369b8, 0xe2be4171, 0x5d62e0e4, 0xd8b46068, 0xae6ab7c1, 0x6c588b24,
+    0x7ce1ac27, 0x5fb29404, 0xa1b5c84b, 0x7aa9a0ee, 0xaba631ae, 0x92a65877, 0x59f1fc97, 0x3cab790c,
+    0xf08accc7, 0xd4c72dc8, 0xcac40a2b, 0xf3bd56ad, 0x35ff31c7, 0xe2c24ef8, 0x82e291e8, 0x0d330975,
+    0xa6d2e6fd, 0xb4513a47, 0x3f96e453, 0xe946dac2, 0x2e3eae10, 0x38d89c90, 0x07c9f9e5, 0x08cd004e,
+    0x34f07ddd, 0x61713ab2, 0xa0278e77, 0x420b2734, 0x897fbae2, 0x423a666c, 0xfc35f085, 0xd11595c1,
+    0xb8b35835, 0x474087b5, 0x89a1f9dd, 0x0fb1932c, 0x96cd75ee, 0xffceea9a, 0xc8e6daa4, 0x5d0c7358,
+    0x38d4ec4c, 0x6849f622, 0x79855c61, 0x02e6830a, 0x3269ca5b, 0xd1a19610, 0x167be72d, 0x6eb42a71,
+    0xd9f64088, 0x6a68074d, 0xede2dfff, 0x5649daba, 0xd2f564ec, 0x602c3977, 0xcde050b3, 0x23766f6e,
+    0xdc5763e9, 0x5777638c, 0x0ed7e1a8, 0x9b8c92dc, 0x0ef8cca9, 0xd42ac9aa, 0xbd59926d, 0xf1ebb69e,
+    0x2989e4d8, 0x7c480fd4, 0xe6e446ec, 0x55bc957e, 0xa34ad71b, 0x4badab35, 0xafdfe31b, 0x41ebc569,
+    0x466c06e8, 0xc49597c9, 0xcb125341, 0xa608cd3d, 0xb3a9e68c, 0x522fd9bf, 0x56797035, 0x7a7769d5,
+    0xe84b41d1, 0x06e96430, 0x06726f1d, 0xef0de1d2, 0x36e9bdff, 0x09a64e8d, 0xff19da2d, 0x147e88a4,
+    0xe2bf0ede, 0xa2b51290, 0x834d2d03, 0x19f5c507, 0x7f9c7f2f, 0x418d3114, 0x5b817522, 0xf8b5debb,
+    0x589b8d5e, 0x6d4d877f, 0x54b29cb0, 0xb90c3517, 0x2ff2f84b, 0xcea1f596, 0xae806508, 0xf11358ec,
+    0xdf08fd9e, 0xea2b327e, 0x8ba8c015, 0xa5a38361, 0xf528362a, 0x7ab84d17, 0x4687ddaf, 0x350bdd60,
+    0x73c4eb19, 0x66457c63, 0x9f3c20b2, 0xe083da6e, 0x87e056ea, 0xe6add98d, 0x0a060712, 0xe3a73e81,
+    0x6be73ec3, 0x0b3d8bb4, 0x7f4961e5, 0x7093c034, 0xa17e2b97, 0xdd4aee0f, 0xb8a8f0b5, 0x72b297da,
+    0x23b0122c, 0x699b3152, 0x30c9432c, 0x61df1ad7, 0x1d14d055, 0x70ec9cab, 0x5e87e679, 0xae50540b,
+    0xd08ad756, 0xde5fdb0c, 0xdf761088, 0x1486e50d, 0x602c256a, 0x18cb0b43, 0x7cd78193, 0x971cb260,
+    0xb03e12b7, 0x7263adfc, 0x9c74d07f, 0xf1c51f75, 0x9a1dafe9, 0xce89191a, 0x4345b2dc, 0xa8650b48,
+    0xb243ae49, 0x24848884, 0x64a28ebb, 0xd7a87f90, 0x05a5324b, 0x89d3169c, 0x1aa70c7b, 0xda7fe2f4,
+    0xc83603a4, 0xdeed8f11, 0xe3889ae1, 0xba932ae7, 0x01379393, 0xae91778a, 0x0de56e0d, 0x4f2a640b,
+    0x7f7b0864, 0xe537910f, 0xc46397ff, 0x02da90dd, 0xcecd459a, 0x73b84268, 0x1355a307, 0xe0df5048,
+    0xc7564774, 0x12e40c64, 0x964fd93a, 0xb6133c96, 0xaae24599, 0xd60668cd, 0xc6a14448, 0x1bfefd5d,
+    0x7bda9af9, 0xbc4575bf, 0xb32494b4, 0x4a692d5b, 0x973a9297, 0x19e0cba1, 0x0f2415bb, 0xf927d9af,
+    0xc947a9bb, 0x2c2869ae, 0xfee80949, 0xbda295ee, 0x699baa2f, 0x10228d58, 0x363d8670, 0x364e2d6a,
+    0xdd8c2ee6, 0x2f3b7a68, 0xec8e8bc8, 0x1638fa73, 0xc844fe39, 0xc4ebc85d, 0x25abcab9, 0x0e7dda17,
+    0x2d4de3bf, 0x4c3d2057, 0x7f0dbe0a, 0x92417b41, 0x98c68267, 0x93bba652, 0xa9b73342, 0xfca040b0,
+    0xcaec4e8f, 0x3c880b81, 0x29477b14, 0xdad51d99, 0xf5edf790, 0x182f03e5, 0x6b52281c, 0x3c3e6c93,
+    0xf586f524, 0xfcd648d5, 0xddf4c1f0, 0xc304b7a8, 0x57f3b770, 0x14439435, 0x3876f81d, 0x6fcb194d,
+    0x8a3d4bb2, 0xba5f5c6e, 0x759d7280, 0x9b626cbf, 0x65d20586, 0x2678e023, 0xbc367216, 0x6b9eeab6,
+    0xe9900d0d, 0x4d3359a8, 0x72ad6965, 0xf7cccbba, 0xe0912088, 0x3bc151af, 0x4e680e90, 0xedf15585,
+    0x00000000 }, /* 10**-00000000000000000029073548971824275621972952315520181374145654427492722411259\
+                          60796722557152453591693304764202855054262243050086425064711734138406514458624 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b,
+    0x724a9bfb, 0xe8c3d317, 0xccd7810b, 0x1157062e, 0x0eda0aa4, 0xe297a14f, 0x5e508dbf, 0xd4d1ad58,
+    0x00000000,
+    0xb53e49a2, 0xb73c96e6, 0xd3dff975, 0x4dc17790, 0xf3c2aa4f, 0xacb0a9d7, 0x95fe20df, 0xca6cc24d,
+    0x11fafd7c, 0x34a8031e, 0xdf86a69c, 0x234ae144, 0x747610d4, 0x2288b03c, 0x5124889f, 0xb667d2f8,
+    0x6f7a2426, 0xd01a51e0, 0x9e7f4129, 0xc5ad31d4, 0xac410a9a, 0xf86c5b02, 0x2f6e9414, 0xb6cc1139,
+    0x2574cfb3, 0x15e15d6a, 0x92aac550, 0x775af11c, 0x3356df0f, 0x577fdc8a, 0x92a6b4a4, 0xaa055cbd,
+    0x7bc69541, 0x9b3ce3c4, 0xaddec6e7, 0x38f80b42, 0x5c0ea70d, 0xf5f201f4, 0x70ea09bd, 0x248c6181,
+    0x0252a20b, 0x2b1fe4d4, 0x8ae0e4fe, 0x61e60ef4, 0x8da4b218, 0xb0acfc41, 0x4181175d, 0x035aada9,
+    0x25cf6ec7, 0x6ab227e4, 0x34a0fdc0, 0xb50caca7, 0x4c3ee146, 0x27ea1033, 0xb4deeb5f, 0x2acf5480,
+    0xcb4f6494, 0xcfcd6042, 0x63c10658, 0x6228171b, 0xb930bd57, 0x042aa996, 0x147d7b4c, 0xd5525bfc,
+    0x535df994, 0x9e9ad77c, 0x6816edb6, 0xaa7cc89b, 0x0e8a7ca2, 0x933b8bee, 0xfd9a9627, 0x05a86f88,
+    0xdc582bf4, 0x625c9818, 0x4748dc84, 0x7cd2add1, 0x18e93466, 0x13787e70, 0x4c776ce7, 0xae9b6739,
+    0xefc46a28, 0x2010b30d, 0x14ea303e, 0x5eaa8f4e, 0xb8eb3815, 0x5a69b07b, 0xb716e8d7, 0xdf2ba699,
+    0x92903ef1, 0xf6976917, 0xd44dfc05, 0xe8b3e55b, 0x3adeadd8, 0x7326e643, 0xcfe9ce54, 0x9a4a8b21,
+    0x727ab079, 0x6c973672, 0x002d32f6, 0xe7991083, 0x2b1f4d57, 0x1e08a3aa, 0x5b65a78d, 0x5b0e561c,
+    0x20584cc9, 0x64fbf998, 0x0370bb04, 0x36ebc3bc, 0xd5e528e0, 0xf43b34dc, 0xa781e714, 0xba32b866,
+    0x9b05d439, 0x2fa1ea7b, 0x011a2cea, 0x5c102aff, 0xefc170e7, 0xee057caa, 0x6cf4bc3b, 0x1dd48bb3,
+    0xdac4439f, 0xb4cdf265, 0x68768c5a, 0xaedbbbbb, 0x249f3425, 0xd9ba77f5, 0xb96e8fe1, 0xb45410ec,
+    0x2154dace, 0x09873259, 0x00f8a5e7, 0x9a012ddd, 0x1ad77bca, 0xeab53c48, 0xc1d5f8a5, 0xb6494cd5,
+    0xb8868504, 0x6d236cc5, 0xdfd3fb22, 0xd8f53791, 0xdd061244, 0x5bff2f27, 0x22979b82, 0x042cf414,
+    0x2d7a5e00, 0x0966905b, 0xc2eed7f9, 0x6f6b694d, 0x223f82b8, 0x52c6ce83, 0xc9f68315, 0x651bf6da,
+    0x8331c083, 0x8d1fd730, 0xdc2f5356, 0xd6b3d51c, 0x4b411b33, 0xd8546180, 0xe79f88b8, 0x67df6d3f,
+    0x901937f7, 0xe60a3aab, 0xba359922, 0x78fb7ce2, 0x9294a781, 0x1ad46384, 0x7b24e0b3, 0x216ad1c3,
+    0xe6b7ab74, 0x578e0d55, 0x3b069633, 0x5db7d59a, 0xc84fa37b, 0xf1b15bbe, 0x20bf359f, 0x297da925,
+    0x588a3b16, 0xd736d3fa, 0x52948dbc, 0x201ead6d, 0x7c304a36, 0xe2ab5eb1, 0x2a2f05be, 0x2b3b8b4f,
+    0x7d9430b9, 0x91ab3a62, 0x633c460b, 0xbc9dc5f7, 0x92da6fdd, 0xc79e9b53, 0x5c9f7aa1, 0x0a084dc9,
+    0xc58a22b6, 0x52f96147, 0x748cbf86, 0x2d9af4ff, 0xe1cf2887, 0x2c26f2f9, 0x16acd169, 0x78013dec,
+    0xe2a7b6f1, 0x3fb97905, 0x1a938b97, 0x5e68137a, 0xf5dda76e, 0x66e1cc8e, 0x57d7f716, 0xd43a5aa9,
+    0x088e91dd, 0xc5472e47, 0xc5a141b9, 0x29926b10, 0xf59d3d9b, 0xf090b9ce, 0x970b9254, 0x35d10e1d,
+    0x94b02453, 0x28bc6e49, 0x92c81ae9, 0x246fa81d, 0xe8f47100, 0xd38c69b9, 0xd616b111, 0x68c0750a,
+    0xe86511e2, 0xfb1737cc, 0x368b3d8e, 0x3586bb49, 0xde201b8b, 0x47f29b9a, 0x918128fc, 0xa2f4ef89,
+    0xfabb1fb3, 0xbc514604, 0xaa839dd1, 0xa5830dd8, 0x85fd5f29, 0x067be7d6, 0xe4848159, 0x23dc16d0,
+    0x0e2620b1, 0xcf51dcbd, 0x38152927, 0xd9aace92, 0x19d3f725, 0x613c3dac, 0xb9fdba66, 0x85bab37f,
+    0xc4db10a4, 0x6efaa090, 0xf4c4b48c, 0xa137c1bc, 0xc52d41fa, 0xc421278d, 0x08195c78, 0xd7a09034,
+    0xd8add95a, 0xf803727e, 0x28dd8ae8, 0xac8f988a, 0xd2d810ef, 0x8af95dee, 0x68c62e3a, 0x04ddeb6e,
+    0xbce67cca, 0xaaa49cde, 0x18db240c, 0x9d9c8698, 0x4a463584, 0xa8032c81, 0x28225829, 0x3641a777,
+    0x9583a40c, 0x65941277, 0x01fa6679, 0x6b236a69, 0x11adc122, 0x679f1753, 0x42791c1e, 0x02aee544,
+    0x3660f816, 0x5b1631f5, 0x19e203ef, 0x816edd40, 0x94fe2f5c, 0xfe9fcd71, 0x7f4a3762, 0x40fb5706,
+    0xd60d854e, 0x9bdf075f, 0x1bf2b473, 0x94fb1c58, 0x2e66d87f, 0xa22ae59a, 0x24d987f2, 0x49b380d1,
+    0x52711371, 0x27dfb90f, 0x89e9b4b9, 0x3192ef05, 0xa30062ed, 0xd9dc46e5, 0x5e9271af, 0x59917652,
+    0xdd466a20, 0x0d11f182, 0xc39e366c, 0x80099752, 0xdfa0f06d, 0x4cdeff5a, 0xa37c30d3, 0x61981862,
+    0x8732fe35, 0xe08a4717, 0x9b0539f2, 0x5fe6525d, 0xe129d98b, 0x483dd720, 0xd4007a5d, 0x6dde6442,
+    0x8b93edbb, 0x90995281, 0xd09d7c6f, 0xd4b4aa07, 0x3b954625, 0x37e4fe89, 0xa728ebcf, 0x4496f61b,
+    0x33abfc61, 0xfd948b9a, 0x623d3e26, 0x4ad9877c, 0xe03e193d, 0xb12d7830, 0x0ff12f7a, 0x9379948e,
+    0x909d3cb1, 0x526de816, 0x8c61a796, 0x8fde9a33, 0x22eb6764, 0x45ec639e, 0xe2e4b1e9, 0x1ea9f9e4,
+    0xe48a13be, 0x2d3ac83b, 0x5029e0fe, 0x0756baac, 0x6e769ff8, 0x2c8b9c9c, 0xe0cc40d3, 0xfa6d380a,
+    0xbeadcde8, 0x43738049, 0x9ff8b217, 0x5b27d6a0, 0xad3d53a0, 0x76c288d4, 0xaa0f1514, 0xc0d1d022,
+    0x41fe1bee, 0xab4dab99, 0x7606c908, 0xc9caa685, 0x349da05d, 0x07233f4a, 0xc8f62eff, 0x6ac697ec,
+    0xf7624718, 0x1e331496, 0x4cdd9f68, 0x718ad9f2, 0x10a5215a, 0xf3b2ac9f, 0x6d9720e4, 0x9982c8c5,
+    0x02efb58a, 0x17c619ab, 0x8c3cdd8e, 0xbf374456, 0xcc6d1c48, 0xfbee7b83, 0x372e24ee, 0xe21f5f4b,
+    0x94e8e176, 0xbea2097f, 0xf6ee7dd6, 0x01344d9d, 0x8e5b2c39, 0x13cd3b77, 0x4ef51ba8, 0x46129a22,
+    0x7ece9fcc, 0x05637ed6, 0x3dc902ee, 0xee56fd59, 0x6ee15721, 0x483f20c0, 0xacf0d492, 0x18061e7a,
+    0x6fda1f45, 0x244e1e36, 0x751f3711, 0xf605ac70, 0x35caedc6, 0x7320aa90, 0xe8dde0a1, 0x2d97e389,
+    0xb6ecc5d7, 0x6c37fb20, 0x8def9809, 0xb9ec1c81, 0x7003742d, 0x35da2c5f, 0xa589d92e, 0x640a2b0a,
+    0xe93c5786, 0xe5f36149, 0x4de21c2a, 0x754786d9, 0x7e898b3d, 0xa9510206, 0x0b7b4e3f, 0x8cf9a2aa,
+    0x55dbc2e5, 0x61098024, 0xa16a3ab0, 0x45fd8cba, 0xf2c75f16, 0xbd05433c, 0xb7926136, 0x606af862,
+    0xe35c0b21, 0x38ff0c2e, 0xb606d1e9, 0x63fbac85, 0xca728c54, 0xd276abbf, 0xbb3b8b35, 0x5f9d3590,
+    0x0db24248, 0x99c08b11, 0xb5de7fd7, 0x0ffa5ea8, 0x2e4a5f2d, 0x5c4b88a3, 0x57962791, 0xb0d885e8,
+    0xfc69b08b, 0x1fdb0e2a, 0xb641a8b3, 0xce764d95, 0x09f976fc, 0xfd4347ce, 0x20680f2f, 0x39f072d2,
+    0xe1a7ec6d, 0x2ed38ff6, 0xf776e107, 0x79d66441, 0xeb880af2, 0xd6b21950, 0xa97a736b, 0xa30cc74a,
+    0xb52bdcc6, 0x6c5963b2, 0x43bcbf86, 0x05fc8c17, 0x75f05081, 0x23fac76f, 0xde641b4c, 0xbbf5d7da,
+    0x5c0a96f2, 0x721e5f14, 0x954db0cd, 0xb7df1d40, 0xe0a6f073, 0x1ddea32b, 0xbbe91b6f, 0x9a660ee0,
+    0xbfecb54a, 0x565e459e, 0xbe90cc27, 0x7c3d5b23, 0x4ec031b0, 0x5aa538f9, 0x03f9aa63, 0x1ce0623d,
+    0x764272b9, 0xf5456534, 0xb0b98ee4, 0x0743ed0c, 0x3259e62b, 0x766c6e5c, 0x8d7686b4, 0x3b7e90c8,
+    0x0d0c9bc3, 0x9c56ec6e, 0x78e6887d, 0x0449b698, 0x0e8f33a7, 0x3cbfc2d9, 0xe7df66b5, 0x1dd052aa,
+    0xfef5a6b7, 0x14823d90, 0x53469b53, 0xab49ca6e, 0xaa74b4c6, 0xbebadebf, 0x309184c0, 0x1d9d497d,
+    0x1eaaa230, 0xf785722a, 0x927fca8c, 0xd4133028, 0x3149c376, 0x3ae571e8, 0x7c3ada91, 0xd8b66aa6,
+    0xf0671aaf, 0x1ce191ea, 0x6a2360ba, 0xced85ee1, 0x7bec9235, 0xb0556a08, 0x32a6b50e, 0x29ca5641,
+    0x8356fa24, 0x3e9a44af, 0x210ca317, 0x4ed92d20, 0x85d03830, 0x4a00b706, 0x69d34f2d, 0xad859c06,
+    0x9729a646, 0x458a27bc, 0x1aab9839, 0xd4ed0f70, 0xf68a3ac0, 0x48ef1b04, 0xe1689a4c, 0xbdd5473d,
+    0xccf50e93, 0xcaf3daba, 0x6ee4ede4, 0x00c17794, 0x72aee8da, 0x94241575, 0x85398f18, 0x55043a7d,
+    0x777ba76d, 0x0a492534, 0x9e71a2c4, 0x30586da0, 0xf3fe737a, 0xef994958, 0xfd36e6cd, 0x9d3baa30,
+    0xc82d519d, 0x012997ea, 0xe29f9143, 0xaf00c1c1, 0xcf413271, 0xd83a7912, 0x6a6e9ad3, 0x12db4ce9,
+    0x3089c621, 0x6b099863, 0x254a9c26, 0x551d995a, 0x0c4222c2, 0x44923879, 0x18033d77, 0x7d98b462,
+    0xd7d2ec3c, 0x3195e9a1, 0xb4b9311a, 0xe9c891da, 0xdd55c781, 0x55d1ad96, 0x51f37eeb, 0x20690b7f,
+    0x0be39678, 0x898fbc0e, 0x951930cd, 0xee8938f8, 0xfbdaffef, 0x882d183e, 0xb38f42e4, 0x8583619a,
+    0x75e3aa4b, 0xb68eda87, 0xe90c5c71, 0xc63b91b7, 0x4901c1c8, 0x027b8e50, 0x94727b5b, 0x9ac29f53,
+    0xc578746c, 0x11b4de41, 0x1b4348e4, 0xf594b92b, 0xe084dfc7, 0x7b36e8a6, 0xff8f8e0b, 0x39c66c6c,
+    0x11436c89, 0xe232a50c, 0x703a66b0, 0x059fb54f, 0x0e2363d5, 0xeddc9f80, 0xed548ac6, 0xc4fbabee,
+    0xa870eedb, 0xfaef4267, 0x0ef6bdb9, 0x7a3ee914, 0xf151d4b6, 0x5df4e620, 0x1b112b88, 0xc3f6ebf3,
+    0xdd9774bf, 0x2600117e, 0xa0b4bceb, 0x3d84f762, 0x5b5cf34d, 0x2eab7c32, 0xaa0e0728, 0x897fe773,
+    0xca29c0be, 0x83380ffa, 0xa90ac038, 0xb97432ef, 0x6af34262, 0xadbe033e, 0x38e18d66, 0xa7ee78eb,
+    0x346467e1, 0x7b96f995, 0x923f7e3d, 0xb35b61f4, 0x3921748e, 0x8eaa530e, 0x5cefba10, 0x329fa527,
+    0xab50172c, 0xde85c623, 0x3100742c, 0xe3d4cb1b, 0x837d1ef2, 0x2ac1c765, 0x14ccf89e, 0x070399eb,
+    0x355299f0, 0x31a99b5c, 0x4d037bfe, 0xa96ac92d, 0xeb45c0a0, 0x0b56c4c3, 0x665a7a08, 0x545e1551,
+    0xafd2b5b7, 0x089161fe, 0xb65b6d35, 0x2b83c8f5, 0x5c642a97, 0x0fced40c, 0x09c7828a, 0x6f24b44a,
+    0xf377c7ea, 0x18af1af8, 0x0dcabe5b, 0xc1fcf0b3, 0xa853550d, 0x19f6f10e, 0x781e2b30, 0xb6543b14,
+    0xe5fb2a8f, 0xbddf30f4, 0x09b2d8b1, 0xf20f7f99, 0xefe38996, 0x44c2e365, 0x9db95140, 0x8f673ca8,
+    0x856afda7, 0xe5838fbb, 0xb369cf19, 0xd51bc46d, 0xf931c2a1, 0x85972c1c, 0x136e52ca, 0x7ae82235,
+    0x206be459, 0xf1de97a2, 0xb81484d4, 0xe8dd2bbf, 0x4da65bb1, 0x6650a160, 0x285532c1, 0x42963887,
+    0xecbafc02, 0x46668017, 0x2c6e743d, 0x5e219019, 0x4f5e708e, 0xee09b511, 0x695fa946, 0xee860948,
+    0xdee05208, 0x4a3cd86c, 0x564ab602, 0x6a20b952, 0x38d1a99c, 0x3aebb0ec, 0x2cfa3997, 0x71fa19fa,
+    0xa4986e86, 0xa57ea950, 0xede1e4a4, 0x3775c111, 0x65e104b9, 0xcef615ee, 0x35678b02, 0x587d267c,
+    0x507ae403, 0x24164301, 0x02d02491, 0xaeef240c, 0x166862a3, 0x754fafae, 0xaafef464, 0x483a8443,
+    0x6b4bb212, 0x2b261dbf, 0x8f0c538f, 0x9e3bd104, 0x8ffd452b, 0xf2cbe0d5, 0xaa7b08ce, 0x626f50a9,
+    0x77c52004, 0x0605447e, 0xffe5caba, 0x51dfbdea, 0x0bbc1d85, 0x66cc63e6, 0x901a5fc4, 0x369a2862,
+    0xf736a8ea, 0x2e4e5bb9, 0x6c77a343, 0x59828c77, 0x566d9149, 0x1e6f5952, 0x4432159c, 0xab3cb7e2,
+    0x747d73e5, 0xa0e4853b, 0x40280d8c, 0x8b329f0d, 0xb09177bb, 0x61bb362a, 0xb0eac42f, 0xd9caae69,
+    0xbe89bf70, 0x07fcc0e9, 0x8c5d9853, 0x7b88c6ce, 0x8cfe3e09, 0x3de16432, 0x67e67c2a, 0x98518447,
+    0xd23dcd0a, 0x1c900669, 0x2aaf55c2, 0xf589ecc0, 0x017f3dca, 0x9a680ffd, 0xba1b2b03, 0x681c7420,
+    0x44fafb50, 0xc8d9904b, 0xe15410b3, 0x74e6c848, 0xffabbe3a, 0xb494d8a9, 0xbce45903, 0x04b05e70,
+    0xa968cfda, 0x65cbb8cd, 0x8dccf10c, 0x7619778a, 0x60088c63, 0x6ad74f5b, 0x3e11f0c2, 0x2dc83de0,
+    0xe9cea008, 0x5cf7bf33, 0xe67529cb, 0x279615ee, 0xe73f19b2, 0x4654d355, 0xb01681a3, 0xee037eb8,
+    0x1df3fa1c, 0xa530658d, 0xcedebfd4, 0x1b30ae12, 0xf38a8e2c, 0x6843839d, 0x7abd9eb3, 0x851caf0a,
+    0x82ac68cc, 0xd539b189, 0xc3941eae, 0xcfe59313, 0xcd2a72a1, 0xa3342893, 0x62f8b91d, 0x81694b05,
+    0x1012130b, 0xd07c93e5, 0x42deda9e, 0x057057a2, 0x1b08c5ac, 0x568ff135, 0xb72e96ad, 0x104d6134,
+    0x0bb983bf, 0x69ca879f, 0xa9a6d605, 0x84664d1e, 0x33eb18dc, 0xdd681876, 0xf478f513, 0x47f02dd6,
+    0xd71cffc7, 0x635fe1e5, 0x0ad718c0, 0x4a91ee59, 0xf432c7e4, 0xb0978daa, 0x65892c03, 0x23764999,
+    0xbab7372c, 0xd8d180fd, 0x2259683b, 0xce98b446, 0x84855137, 0xc65306ff, 0x318f3f67, 0x0b64c65c,
+    0x2d8f8c87, 0xdbcc505d, 0x74de480d, 0x06d55467, 0xa10413c2, 0xaa2b1ed4, 0x64c6f208, 0xcdac9bae,
+    0x5c7d2f24, 0x95cd6219, 0xed58b2a3, 0x7029d4fd, 0x897baf4d, 0x88faea33, 0x6f3e16c5, 0xb2284dea,
+    0x00d08d0d, 0x81c5b1f9, 0x8c03f177, 0x6eb3d206, 0xa1cd6679, 0x6e069c7b, 0xa057ea0a, 0xbb8aeae6,
+    0x2ddfef56, 0x64094e7a, 0x211fba20, 0x596fedc1, 0x1175bb1d, 0x5b152241, 0xe028c3bd, 0x46ed6433,
+    0x118c8aff, 0x65995e68, 0xd7d64975, 0x9d097e8d, 0x856eef8c, 0x27777bfe, 0xd593b8da, 0x1cc80a75,
+    0x7137faed, 0x9b90509d, 0x35d87a41, 0xb38c15c8, 0x9bef0bd4, 0x17a68435, 0x1f1d352f, 0x807291c6,
+    0x2ba1e70d, 0xff600299, 0x62d14a19, 0xaff85eb5, 0x2ebc6705, 0xfd07814e, 0xd454eb9f, 0x7dd59c26,
+    0x354a35fb, 0x9192158c, 0xb19e1b11, 0x46d70388, 0x28548bfd, 0xedfb9b0d, 0xacb86369, 0x4f94dc41,
+    0xf27ff314, 0xbc79f886, 0x440d1698, 0x88bb2f94, 0xfa2a5c73, 0xba13352d, 0x07eba023, 0xaa424711,
+    0x6f684672, 0x3e7753c3, 0x858f0c6e, 0xe74df48f, 0xb79c43da, 0x272e02b3, 0x815d2660, 0x8c3b17f1,
+    0x6c7f65e9, 0x40d0f829, 0x1bbd7857, 0xe7987f89, 0x88723e63, 0xebf647e5, 0xdb0a0da1, 0x082d1a5b,
+    0x41874c8a, 0x64843160, 0xda26c75f, 0x087cd73a, 0x8cdef27a, 0x2a42ffac, 0x57a378e4, 0xf61b3a24,
+    0x0527c78d, 0x095802f5, 0x36b1b8d8, 0x8a3bdd2c, 0x387fbc41, 0xd46a3caa, 0xd0ee69e5, 0x9da28d88,
+    0x485e0b33, 0xa42973d1, 0x5909db1e, 0x8e3e7b70, 0x60e0a64e, 0xff226db2, 0x7006c577, 0x8799e298,
+    0x6b15f83c, 0x5f05eec7, 0x785a454f, 0x3c0c4fff, 0x70f47605, 0x28eede9f, 0x97341529, 0x2219c07d,
+    0xad8e1dee, 0xbb8f1822, 0xab6d7a8f, 0x637ff1bf, 0x853f1fb7, 0x74f5836e, 0x1d55961e, 0xd7f704cf,
+    0xc3d28fd9, 0x80e22f21, 0x473f780b, 0xafb6d030, 0xde786207, 0x886ed25b, 0xd1f2bc75, 0x600b5ff1,
+    0x838a6c79, 0xbea5dd3f, 0xe66cdfce, 0x191d021d, 0xafe51459, 0x698266a6, 0x1267edfc, 0xd689930a,
+    0x13303fe4, 0x9186dd93, 0xc17ee25b, 0x6e4abb60, 0xac9492e1, 0xd61ab3be, 0xaa86b106, 0xd113f938,
+    0x00000000 }, /* 10**-00000000000000000014536774485912137810986476157760090687072827213746361205629\
+                          80398361278576226795846652382101427527131121525043212532355867069203257229312 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5,
+    0xb9254dfd, 0xf461e98b, 0xe66bc085, 0x88ab8317, 0x076d0552, 0x714bd0a7, 0xaf2846df, 0xea68d6ab,
+    0x00000000,
+    0xd76711f1, 0x475679b6, 0x2eaf03fb, 0x2e176d99, 0x02afdd7a, 0xb8a67e58, 0x5a1e45f8, 0xbb7825cc,
+    0x95fe6af2, 0x5450b38f, 0xe1da8216, 0x69ae1386, 0x1cafb9da, 0xe03216bb, 0x9aa18fec, 0x60d5b9c9,
+    0x1f1616f8, 0x5928eabf, 0x8f04fdd5, 0xcefbc0f8, 0xfcd5166f, 0x9fb42a61, 0x62d3cdc7, 0x3374cab7,
+    0xe79fa899, 0x97670053, 0x41f98eea, 0xfc4c366f, 0xe785a686, 0x192364c4, 0xc78d15eb, 0x86f2d23f,
+    0x417a2bb9, 0xcae95410, 0xf6859084, 0x0c1c046a, 0x022f6bde, 0xbf6a46e9, 0xa0246a0e, 0x2d274bc9,
+    0x4dfd3abb, 0xb0f0a9a3, 0xdbe57780, 0xa4e9a606, 0x1ad86561, 0x95d5c278, 0x03960505, 0x4781a5eb,
+    0x736375d0, 0xe3cccd46, 0xc18de8ab, 0x7094666a, 0x9aa0bcb3, 0x70462107, 0x468001b1, 0x9fb9dee0,
+    0x6fd4f56d, 0xa03b5dcb, 0x423d5df1, 0xe01ddb53, 0x5c762d5a, 0x473a7f98, 0x336aadfa, 0x5777cd8c,
+    0x82e337f0, 0x0b11c3b0, 0xa0ad36a8, 0xe6a3f073, 0xa30a2530, 0x6955eae9, 0xc3f86cce, 0x3e7ed68c,
+    0xe7b394a9, 0x91949a42, 0x729678ee, 0x7d3d9f80, 0x0f595f64, 0xd3f437ed, 0x8ba67105, 0x239c67b3,
+    0x044d9145, 0xe15c7609, 0x59c65986, 0x547b845a, 0xc5a3dc0a, 0x3b72fa17, 0xb74114c9, 0xef576e4c,
+    0x77246723, 0xd3ad3937, 0x328d0c2c, 0xca49fb16, 0x19a04bc8, 0xb66505e3, 0xf31eee88, 0x44d4414d,
+    0x57f2e159, 0xb5d90ac2, 0xb773a9c9, 0x2508bbb4, 0x5a18306a, 0xe1d5f85f, 0x8972f3db, 0x8b4b3644,
+    0xfeb9003c, 0x4469d0fb, 0xf9f9ca20, 0x051d50d6, 0xc26e913c, 0x143621e5, 0x63934b53, 0xd43e9aba,
+    0x4def8136, 0x41837d0d, 0xf3302bf5, 0x2afc86cb, 0x4ee2fdae, 0x573e4bc9, 0x96fa8c71, 0xdfebdf22,
+    0x199dfab6, 0x413e2442, 0x68c8d95b, 0x678ec019, 0xf8e6b8c1, 0xfbcf6605, 0xd1bca447, 0x6ebee0d3,
+    0xf60c0a73, 0x61728c7d, 0x5838ef76, 0xd1df281a, 0x6fb11c75, 0x5a44a3ab, 0x24c0038e, 0xed47f7cf,
+    0xb9f9010d, 0x3cc55381, 0x6c76508e, 0x5cd76148, 0x55c679a5, 0x5ef8aa9f, 0xc3e46aba, 0xf4629001,
+    0x7b4124af, 0x1c3bcad3, 0x794e495f, 0xc2061d9e, 0x3345facf, 0x3fbc300e, 0x1dbde074, 0xc9f90d52,
+    0xed1cdde4, 0x5b881880, 0xa3931f0f, 0xffd02bb9, 0x333f13b1, 0xc9bbfdc6, 0xa27ccb24, 0x0c00250c,
+    0xd25bcae9, 0xf4170b6b, 0xab188e91, 0xbab7a6b4, 0xe183eca9, 0xff8fc5d8, 0xb59a67bd, 0x60b49b86,
+    0x37afde3c, 0x9b828d3a, 0x01e8876d, 0x19c580b5, 0x590ce070, 0x6ed8eead, 0x06adaf73, 0xf7cd830a,
+    0x1e763db7, 0x2953a72e, 0xbbe11e92, 0x6c460f9b, 0xc63fe646, 0xa6393bd1, 0xc3aca722, 0xab052a5b,
+    0x63874cd6, 0xced11dd4, 0xa0fe51e6, 0x66c08855, 0xec5bd5ec, 0xbac5ee6d, 0xf77ea8e4, 0x23e32572,
+    0x892d4fb2, 0x542b643f, 0x984f3a76, 0x48097939, 0x7c80f51e, 0xefada3be, 0x6f9f5c49, 0xe93a7cdf,
+    0x60ee0010, 0xe468d8b1, 0x514674f7, 0xe0f7ca60, 0x90db7016, 0x9eb076ac, 0x5f838406, 0x5a82f6ad,
+    0x3f6b8b60, 0xc6f4a46e, 0xe584fe45, 0xfd21db42, 0xbe40d3cb, 0x31d44cd5, 0x64a84ac8, 0x0b5a6ed2,
+    0x27903a9f, 0xe791c739, 0x1af55424, 0x82231dd8, 0x3a7e8cc6, 0x7457a2fb, 0x8528fee8, 0xa43a3c01,
+    0xc3faa8cf, 0x502401f9, 0x710c2fea, 0x0ed66878, 0xf966aced, 0xd4b8182c, 0xfb5792aa, 0x5f48f045,
+    0x8c356866, 0x9746d9a7, 0x21157148, 0xa20ede3e, 0x6da38010, 0xa9c9969e, 0x3db35357, 0xbb2bc650,
+    0xa017d7d7, 0x27216e1a, 0x2832dab9, 0x8a2ff83a, 0x164cf19e, 0x563b6c33, 0x6b5fcabc, 0x294f3889,
+    0xb3cafe34, 0x785bcab5, 0xc1779125, 0xb408be31, 0xc091a53d, 0x95530ce1, 0x37fd6d1f, 0x36897eb8,
+    0xf3020744, 0xdd4e295c, 0x3b4341af, 0xf08ad74f, 0x6e41af4b, 0x74897286, 0x3f2b7768, 0x05bf30b0,
+    0xefcb5ed4, 0x172873aa, 0xc252d475, 0xde37a958, 0x402e9897, 0xb148c251, 0x4054c242, 0xcdf28cb3,
+    0x0f2a5410, 0x30476fb7, 0xb003f039, 0x35ae9ead, 0xb98c9a1a, 0x473011ce, 0x96375bd4, 0x16a59601,
+    0x02351d82, 0x37b9cab2, 0x99ee8b32, 0x7de6f658, 0xefeba824, 0x6d240a69, 0x998377b1, 0x16d5ee60,
+    0xb27a6a74, 0xa5300e63, 0xc562788f, 0x5915bbb9, 0xf1514fa4, 0xea8f4c8c, 0xcdaf9561, 0x765635ad,
+    0x49184180, 0x198093c1, 0x6664eef3, 0xbc32b1bc, 0xa69905a9, 0x1fe86242, 0x374db107, 0xe0fadac0,
+    0x009914f3, 0x9b02103c, 0xd1f92d65, 0x6b556bd6, 0xe917e0c0, 0x240b39d2, 0x73241a31, 0x5793239c,
+    0x9233f960, 0xc2b2eb33, 0xdb949529, 0x070dd66a, 0x97687529, 0xa0336f22, 0x6feec2b1, 0x38e60eb4,
+    0xad5692ab, 0x811c2105, 0xe0dc9bc2, 0x3f2cceeb, 0x754b3981, 0x774872a5, 0x4d3fe9f6, 0xeb8073c4,
+    0x19ebd802, 0xb2db0b93, 0x2dc52630, 0x76840b2e, 0x7afe559c, 0x543a9d55, 0xe8c519db, 0xd05ae505,
+    0xf72122cd, 0x3d31ee39, 0x9f116c60, 0x225aeae7, 0x07119e20, 0x1ad15cae, 0xe7f6e6f7, 0x3650afa1,
+    0x159ff0c9, 0x1d866559, 0x3395eea6, 0x5b30fd31, 0xe4167c20, 0xec918e3b, 0x04441f26, 0xd765a41c,
+    0x311d2c98, 0xc39f87ac, 0x06a6a8d2, 0xfe6204ba, 0x265863ed, 0x271288ae, 0xaf79941d, 0x23ffe96b,
+    0x050c386f, 0xc6407815, 0x1e38770c, 0xf1e07755, 0x4c6ec9b4, 0x506d60b7, 0xa7ecc5ee, 0x925c701c,
+    0x593f003d, 0x25172fde, 0x3e2592c6, 0xc5db7bc0, 0xa474471a, 0xf3759edb, 0x653d3104, 0xb0959c15,
+    0x3c3fe1ff, 0xa0688809, 0xd7622e92, 0x70d65f1d, 0xe6ff5b98, 0xca566c44, 0xd318417a, 0xdecb7a64,
+    0x551da321, 0x8717a0f3, 0x2c0c9406, 0x2c0324d5, 0xe636015c, 0xcdf68acb, 0x33fef1d6, 0x8573349b,
+    0xc662442d, 0xb5e74989, 0x489d155f, 0x9069259d, 0xbde8545a, 0x24f4bba0, 0x53877ae7, 0x9d8508f3,
+    0xab1d4407, 0x17d46aef, 0xf4414a93, 0xd21dd634, 0x64736985, 0xb6654836, 0x6b75c9d3, 0x6e2d0770,
+    0x1ee69ef5, 0x576a2c22, 0x71ee200e, 0x2213e2ca, 0x94321336, 0x74011198, 0x568e2ede, 0x8cd4089c,
+    0xd8c51470, 0x3b112f4a, 0x79f76549, 0xe151104d, 0x4268296b, 0x52630c18, 0x0290b228, 0x36a44677,
+    0x2f2cdf8e, 0x29ded5b7, 0xa5f85adc, 0x14da1caf, 0x64a06707, 0x674c8535, 0xe8431a9a, 0xac172978,
+    0x874977f2, 0x2547c855, 0xcbb719d7, 0x562d3bf0, 0xa1bf40fe, 0xd1b5c3a5, 0xf67f823f, 0x6af37380,
+    0xacfa0d6d, 0xd83cf5a7, 0xf76e9a34, 0x611d89f2, 0x9b9c0907, 0xa319d3e0, 0x6d2ce329, 0x14eacf5c,
+    0xf7dfa4bf, 0xd8aa0fd2, 0x9e96d080, 0x113785ab, 0x05e8dc77, 0xbae94f61, 0x40cb3f02, 0xd14c8c25,
+    0x2ea02fda, 0x155b1a61, 0x47890622, 0x3d9e4753, 0x00907429, 0x41346de2, 0x1608c0fb, 0xfd2aeaa4,
+    0xa05bb68b, 0x4db46266, 0xb74f848f, 0xd687a30b, 0x6c6d2905, 0x6201cfc4, 0x9f8e0b84, 0x19dfaedc,
+    0x334c6d2c, 0x08d921de, 0x6e6c60d1, 0xd8b3909f, 0x077694dd, 0xb6aed07d, 0x62d9c9e4, 0xdbab91b7,
+    0x2beb1888, 0x5aefdc56, 0x675a290c, 0x07feb418, 0xc8f195a9, 0x760f69b7, 0xbe02ab59, 0x432d17be,
+    0xb84ef78d, 0xbb4f6d0f, 0x806de735, 0xb8699620, 0x13c30675, 0x83be1dbb, 0x7e556742, 0xfb3a185b,
+    0x2e25b03d, 0x9ca765e0, 0x106a2c8d, 0x4972441d, 0x065170e8, 0x17ab7ea1, 0x698f40ef, 0xcb6ab402,
+    0x7a4a552b, 0x034040c1, 0x7d2f9173, 0xcbe2ab09, 0xc940f77a, 0x3457cb9f, 0x80805ae8, 0x84a500af,
+    0x27981779, 0x71ba19c2, 0x1d32eb53, 0x2fb10a93, 0xf89370d8, 0xd3d3ce3d, 0x04740386, 0x35de6a7d,
+    0x5405155e, 0x8c6df56c, 0xaaf5961a, 0x7891203f, 0x6594179f, 0xa292e51c, 0x94fa4c5c, 0x65d8293c,
+    0x81a8d9ed, 0xa1a3c1ac, 0x0fdf8f4f, 0x54d06773, 0x7baca24f, 0x86471916, 0x1c817d52, 0xb8e70e80,
+    0x9b1e6bf7, 0xc5154a4f, 0x8ef6a5d2, 0x8d4eaa77, 0x914dbb39, 0x3ae6b0dc, 0x95e87dc2, 0x4c591253,
+    0x4b121900, 0x6842a727, 0x51e28aa6, 0x8ea7ed6c, 0x086e807d, 0x76908e6a, 0x1f4614d7, 0x1c0c16a0,
+    0x7691fc0c, 0x9f6f942a, 0x3734bb45, 0x983d3178, 0x422107ec, 0xe3267ffc, 0x7c07a06c, 0xa081c32e,
+    0xbde1d42b, 0xa8a4e0e5, 0xc3a94cd6, 0x13ed9add, 0xa6d6eac0, 0x52f27dd7, 0xae43d45d, 0x7a99bef6,
+    0xf63742d5, 0x313fbacc, 0x9e24dd33, 0x8e925c3a, 0xd40d18e0, 0x7f1628ca, 0xb9a5975a, 0x37ba6a11,
+    0x96a538b5, 0x910dd0d4, 0x16b631bc, 0x975588e2, 0x790eeeb3, 0x3f2f5382, 0x3ee55eb6, 0x56cba9a1,
+    0xfb7efa51, 0xe9e1bd73, 0xa705343f, 0x1dbb7cf5, 0x0a3912d8, 0x2d6b59c6, 0xe4d3bd18, 0xc286da45,
+    0x88cbee74, 0x6e16f471, 0x74224b31, 0xce84c24a, 0x637f024e, 0x1adc3371, 0x7bda8736, 0x7497b239,
+    0xc95922fc, 0xdc471130, 0x4a20015a, 0x58a2d59c, 0x17722b19, 0x7e44b5fd, 0xe2270e41, 0xdf01aab7,
+    0x470d006e, 0xb4e4dd64, 0xa1dd6012, 0x452fea77, 0xf6c0384f, 0x2c655a66, 0xc13f9672, 0x6ed1cec9,
+    0x7d88c35a, 0x165fa40e, 0xedea81a7, 0x5923e745, 0x8818d1ca, 0x9d4d6f1c, 0xea3a5500, 0xba274d0b,
+    0x1042a4d2, 0x78862b74, 0x5c0e14b4, 0x33894075, 0xd1e8969b, 0xa47d95e5, 0x9def03fd, 0x966f4ecd,
+    0xa91be516, 0x25bcb152, 0xcf2a8c44, 0xc644b00b, 0xe3f19768, 0x1b88d2b0, 0x165060cd, 0x934a3827,
+    0x5e54a1d6, 0xad5191d0, 0x8febf55d, 0x75cf4078, 0x4ddfc689, 0x65aaf400, 0xabae0a43, 0xcaaad060,
+    0x3fedf416, 0xe3bdcd70, 0x2c5f825d, 0xb692a2d9, 0xec8a24e1, 0xbe7cfbcd, 0x3931b56e, 0x350d2282,
+    0xbfdd1247, 0xb88f5803, 0x851ca025, 0x23a6a2f0, 0xf3125148, 0x1803399b, 0xfe1eb2c4, 0x0b4cfc17,
+    0xbc15d6da, 0xf182437c, 0x02145eb8, 0x99127e90, 0x35652a1b, 0x32aa6864, 0x232ac05d, 0xe34d38d3,
+    0x358edf05, 0x310326cc, 0xa50a6f1e, 0xb47c959b, 0x7f018f83, 0x5025a2bb, 0xfb086b52, 0xa352c3af,
+    0x47e47973, 0xa445651e, 0xf1ba4305, 0x3f742e40, 0x4ebb884f, 0x70f77efb, 0x6288ccce, 0x75a5f128,
+    0x9fa5ea24, 0x8746b3b4, 0x9397b62f, 0x015eebfe, 0x27cf0127, 0x1bca93ce, 0xcbe69e98, 0x23f55d90,
+    0xf2d7095b, 0xa0833b79, 0xeb2d99b1, 0x3645c025, 0x79bf2cc9, 0x7798739d, 0x9a2a7666, 0x8c0282b7,
+    0x0c95fbdf, 0xaf924a96, 0xb052c728, 0xa1f718c6, 0xf8b87bee, 0x9e521111, 0x2fbbd025, 0x9da967bd,
+    0x8eddd82e, 0x9d293134, 0xda7a94d1, 0x6233db5a, 0x942ba2ca, 0x0e33c7ed, 0x85de238f, 0x9a00edee,
+    0x6f6fa80d, 0x56599adb, 0x8ea915e6, 0x4dbbda62, 0x97a6c17c, 0xa69b138b, 0x47e00e95, 0xf58f6ce4,
+    0xb35897bb, 0x77006a11, 0xe84148a8, 0x2ea828b3, 0x4bd127da, 0xd43126c2, 0x3d5f11cd, 0xc7d27edd,
+    0x39299f83, 0xa53fabcc, 0x2878261d, 0x044cecc2, 0xf1277b94, 0xbc8350a2, 0x5e99b2c3, 0x0a79f6ae,
+    0x72b9f27f, 0x8b9685b1, 0xbac47043, 0xf1305bf3, 0x9164e4fb, 0x171bfeac, 0x9e2f1d57, 0x7517aad1,
+    0xe3c368e2, 0x8a3a73f9, 0x53dbb144, 0x48a64064, 0xb3b18c39, 0xc6b32bec, 0xdab7b936, 0x234f7c93,
+    0x4035d9ad, 0x1a7fd85a, 0xe834c622, 0x0a90af29, 0xa9e1817d, 0x88f0ea4a, 0x1e6e235b, 0x1f527fb7,
+    0xa385b6e3, 0xd9789469, 0x89f1a2af, 0xbb7060ae, 0xa6b658f3, 0x7562fc7f, 0xc3200c23, 0x34a1e293,
+    0x157212e3, 0xcb47064e, 0xe9b87bdb, 0x58ea5c00, 0xab6e93b2, 0xffbcb720, 0x5a151f44, 0x6f8f4cd6,
+    0xe0127476, 0x85caa8e9, 0xa86184ee, 0x263afcd0, 0xa9d436af, 0xf4e9b9f3, 0x6fff15c5, 0x0676cf71,
+    0x9e17749b, 0x7b48c50a, 0x248fac43, 0x1b856842, 0x1ccc5153, 0xe8b4c04e, 0x570acab9, 0xfc08e8be,
+    0x1c328acd, 0x7e0d4e41, 0x6f075296, 0xdefa68e2, 0xbcd5c67f, 0xde783a5f, 0xd5938ef5, 0x5c167ce2,
+    0xba9a3516, 0x45752dd7, 0x703c9186, 0x9f5cea14, 0xce2df2f1, 0xb6611506, 0x447380ca, 0xa79f582f,
+    0x3588b9ac, 0x36242d63, 0xda8c7872, 0x480dd600, 0xc1a50882, 0xfa286f94, 0x3794b019, 0x20026480,
+    0xa98a3bb6, 0xe7c9d059, 0x38a88198, 0xacad6f6f, 0x06ed78fe, 0x4342d0ee, 0x6b4e72db, 0xfedb9b10,
+    0xc8588f20, 0xf8fa5907, 0x938b2e29, 0xc5931fdb, 0x94b5f452, 0xeb70e445, 0x83f4eb73, 0x2773e208,
+    0x334e2328, 0x87c77cb3, 0xe24a7ca9, 0xe465ff9f, 0x78381c6f, 0x5256e51b, 0x950ff88e, 0x0eeb1cfb,
+    0xb83935c0, 0x16c75341, 0x9eb9667f, 0x84d1b0ea, 0x24dbea24, 0x7d1dbc13, 0x1e8673ff, 0x4c128e33,
+    0x69ea7277, 0xaa83e146, 0x31aacb59, 0x07cec18b, 0xe59699c3, 0x4541da5c, 0xbacd042b, 0xe67528cc,
+    0x2f16286f, 0x3fdf5013, 0x98ef755d, 0xac8df9bf, 0xc12e47e3, 0x915d390b, 0x3871cd71, 0xd16e872c,
+    0x3dfc109a, 0x1c3db854, 0xcd164585, 0x252f241b, 0xde5dca35, 0x9d58a806, 0xadf685df, 0xcd3e2b71,
+    0x4a706038, 0x41ed281f, 0xb0da44a1, 0xcb875da8, 0xc31dbea7, 0x618c1ae3, 0x7be39bd5, 0x219aefc1,
+    0x168f3d84, 0xfb581f0a, 0x87d09946, 0x03d4db4d, 0x1719b792, 0x48e77853, 0x6337ab45, 0xa5c0c031,
+    0x03a06b07, 0x03f32d6c, 0xed5d6eb0, 0x37d8763d, 0xb0b242b7, 0xb85e1c2c, 0xbd7b49bb, 0xc7338fd3,
+    0xf8800e64, 0x863ea2ab, 0x5809cb62, 0x179c8e42, 0x907714d4, 0xd7b6e09d, 0x7209344e, 0x58e565dd,
+    0xc8d24977, 0x54ed47bf, 0x7758af87, 0xa55e93e5, 0x762b00f1, 0x3eb3aeed, 0x35660eb2, 0x4cf2a814,
+    0xaf03b566, 0xd4a46841, 0xc58f5f17, 0x5b74f640, 0xbf0e2a3d, 0x082f2b9c, 0x603f3482, 0x5911c7d1,
+    0x99b449cc, 0x49d4435d, 0xb2029f82, 0x7e7e41a2, 0x9777baf2, 0xa4d296ed, 0xc519d967, 0x290b69e2,
+    0x766f0277, 0xc1a6be83, 0x64b7e8db, 0xf68de6ac, 0x9f02cf58, 0xe2764996, 0x9a69c3c9, 0x9b304bd0,
+    0x4f4b48a9, 0x8da39de7, 0xe73f5f1f, 0x86333a5d, 0x13637039, 0xbd77efd6, 0xab3dc7ff, 0x0c846326,
+    0x219f71c8, 0x5eb7bcda, 0xc79f18ec, 0x284e9517, 0xb7078f20, 0x5f360a2f, 0x5f5e6aa7, 0x97a9b6ee,
+    0xe03549dd, 0x727c0358, 0xef703873, 0x023f29d0, 0x237101bb, 0xc6da8d7c, 0x7b2a285d, 0x9a4cec78,
+    0xc03d678b, 0x44253e0e, 0xbe3f7f99, 0xf2f22627, 0x81a1ea94, 0x2a51921b, 0x49464101, 0xfcc32cd6,
+    0x23eef429, 0x840fa22e, 0x817218e8, 0x7219b2d8, 0x8aaf7212, 0x0104b42e, 0x5e238bef, 0x5d808f46,
+    0x68b34255, 0x19c6265e, 0x4170b9bd, 0x65e51e22, 0x9eb2f937, 0x183f86e8, 0x51a04e57, 0xa61fb2d2,
+    0xfaebb98f, 0xf2b6ed68, 0x431d8328, 0xdb1da0c1, 0xbe7448ab, 0xcaf75609, 0xdad512f6, 0xb3a0f2fe,
+    0xbdfe4851, 0xc64d8e60, 0xbf635a42, 0x3b7a8385, 0x0bbc4154, 0xf6becb52, 0x290a807a, 0xff7338f4,
+    0x00000000 }, /* 10**-00000000000000000007268387242956068905493238078880045343536413606873180602814\
+                          90199180639288113397923326191050713763565560762521606266177933534601628614656 */
+  { 0x00000000,
+    0x3fffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562,
+    0xdc92a6fe, 0xfa30f4c5, 0xf335e042, 0xc455c18b, 0x83b682a9, 0x38a5e853, 0xd794236f, 0xf5346b55,
+    0x00000000,
+    0xa60bfa25, 0xed7a64ee, 0x282676c4, 0xe2a11ec6, 0x4ffe4f39, 0x04aadd23, 0x96a69943, 0x4e967a9e,
+    0x0bbae364, 0x9c90de2b, 0x21441d85, 0xe803029d, 0x2d19a335, 0xf4a80ba9, 0x578a4def, 0xa6a3cfc9,
+    0xea16f28f, 0x7751ad45, 0xd7ac46d4, 0x03f528b9, 0xaf8aa540, 0xa1351026, 0x072f4f06, 0x4a54a54d,
+    0xd11499af, 0xcca548e1, 0x2f515071, 0x1c289c8b, 0xe1a25cf5, 0x24811f60, 0x2eaf17d4, 0xe280abc5,
+    0x8b04c4b1, 0x3415ce7a, 0xa5b59292, 0xd9e56c3f, 0xbede114d, 0xe346d5bf, 0x82da0698, 0x099e31bf,
+    0x6fb04978, 0xd952f7b0, 0x69422bfe, 0x18cd5705, 0x5540b18f, 0x7d8e0e2e, 0xea7a0166, 0x52ce4e86,
+    0xd230e584, 0x6bb965d5, 0xfda8ccb0, 0x04fae0f1, 0x78e8ba8b, 0x65e2c0c7, 0x72130283, 0x7f5d9552,
+    0xb006889f, 0x1c2f7ea5, 0x0e99efd9, 0xa60fa1de, 0x78b65948, 0xdafc8415, 0x10740688, 0x677985b3,
+    0x01ee1372, 0x0a9dd31a, 0x1ac53192, 0x9047b9e9, 0xff4bc492, 0x08dfa937, 0x6ea199d8, 0x276d3263,
+    0x347f6bbd, 0x7ce3f162, 0x0756b2b2, 0x64597e44, 0xe952ae81, 0xc79eb766, 0x3f2b7e34, 0x6a8c609d,
+    0x10a2dc90, 0x02565711, 0xf66addbd, 0x7eb319a4, 0x8d706829, 0xee63da77, 0x2d511d9c, 0x6e889cec,
+    0xf7328fd1, 0x7ebff140, 0xd5bb1de0, 0x459170b7, 0x13538f95, 0x89496430, 0x0f3f5f2a, 0x18e437e5,
+    0x6c9ce435, 0x9780dda9, 0x50df6c79, 0x89f8fd89, 0xf451b98b, 0x6d5064c1, 0xd89c0604, 0x96cdd0d0,
+    0x749d492c, 0xaf5504f4, 0xf64ea533, 0xa24fe716, 0xa0bbfb12, 0xd67a5534, 0x4ea6a5e6, 0xb2ce353a,
+    0x5fadb549, 0xaac3b623, 0x1e2527cc, 0x3bbb1993, 0x9c8ec5ae, 0x95b9a886, 0xf28bdac6, 0xe644678b,
+    0x66792e48, 0x172aad88, 0x0eb49f2e, 0xe42963a3, 0x1a2d13b9, 0x8ebcabfb, 0x901160c6, 0xb44ea672,
+    0x2f5a5a8f, 0xb7370a1f, 0xde003b49, 0xeec035de, 0x6443be3c, 0x3734f71e, 0x8e91f9a8, 0xf803734c,
+    0x35a82464, 0x22e8e5e1, 0x00e52260, 0x25344e8f, 0x16729902, 0xd1e5e77e, 0xa9f6a09b, 0x748774a8,
+    0x4b2b82b5, 0x267ad2f7, 0xe92f646a, 0xa25ef0e1, 0x38214aee, 0x43b7b298, 0x02a65de0, 0xba23c718,
+    0x62ce0682, 0xc9c55fd8, 0xdf5ef3e4, 0xff45dc1d, 0xf2fa00c1, 0x77585bed, 0x3bccb38f, 0xef4fdd8a,
+    0xffa23ae9, 0xf27abaa6, 0x8fe411af, 0xd10f06fd, 0x7cf33420, 0xec25c28b, 0x5089eff5, 0x0614bfd6,
+    0x2a7390b9, 0xa07033e0, 0xc3ff48f5, 0xa6e956ec, 0x346ea7ab, 0x809fe760, 0x92bd3ca1, 0xa32ea4e2,
+    0x3fb1f9e7, 0x3b1a3f48, 0xd182aa86, 0x5d6f994d, 0x9e13d62c, 0x8c4de2c7, 0x9dcb7792, 0x2d661a22,
+    0x0014a4c2, 0xc4a0b488, 0x2812801f, 0x1b9e55d3, 0xc2ea7fd3, 0xb1d9e1aa, 0xf2a9c2c1, 0x70487785,
+    0x8bce356d, 0x151b69a8, 0x5d4fec1a, 0x2c2a2ab3, 0xd47f0a3c, 0xf3ed5674, 0xb5727362, 0x741177e8,
+    0x6f9b5f17, 0xd2cf07bf, 0x960ec4b6, 0xf76b5dc2, 0xa5542b65, 0x9cb08d43, 0x8a3b0294, 0x22a3f4ee,
+    0xede3ede8, 0x7f660619, 0x9648ab1e, 0x0f4a3137, 0x0ee98919, 0x815347fc, 0xc7d7994b, 0x076099c9,
+    0x874f6505, 0x99ed5303, 0x9d07f3d1, 0xa2ca3329, 0xb9c80c47, 0x406c7371, 0x4a19ba09, 0xc32cd7eb,
+    0xeb44b06f, 0x512e3029, 0x32dc8c06, 0xba571f78, 0xddad131f, 0x54e4a8a1, 0xe31fb1be, 0xd1b4bccb,
+    0x6cd46ab6, 0x8cce16b6, 0x85b809ae, 0xad21f482, 0x4c5ef8f7, 0x3671993b, 0x3f14b812, 0xbae256a7,
+    0xe08db91f, 0xe1c2ca33, 0x26326a8b, 0x2e22ca40, 0x7ad0ee5f, 0xdabfc12d, 0x6d743809, 0x85cf97ae,
+    0x8392d98b, 0xb3b7fbb6, 0x93c05302, 0x293dd4a5, 0xc6d76985, 0xf5d2bad9, 0x0df0f0f6, 0xce2f2bb7,
+    0x38bdda5e, 0x7f37e91e, 0xbaffbe05, 0x1354b78b, 0xa3be51b2, 0x0b00f8f6, 0x1c25e2d3, 0x7513e735,
+    0x58c9d0ce, 0x839773a2, 0xa242a2ee, 0x37ec0668, 0x334df818, 0x6966bf3b, 0x22f4a152, 0x9293e91e,
+    0xfd4e1ce9, 0x06af668d, 0x6feaab0d, 0xa9992c55, 0xfd61e53e, 0x3132e41e, 0x3591b7d8, 0x7f319712,
+    0xb3bc680a, 0xdac7cd24, 0x6c6dc61b, 0x56c4ecee, 0xccbdfb6f, 0xb675a391, 0xf9f26690, 0x8e842937,
+    0xcb5816dc, 0x4f96b52b, 0x95ca61b3, 0xe29c8082, 0x26e85646, 0x21b4f4d0, 0xe19a52b8, 0xb977594f,
+    0x3ee01b30, 0xf13fd99f, 0x5293ae49, 0x81c5126f, 0xebfe8c35, 0x43ac27cd, 0x9974f29f, 0xc373dab2,
+    0x517e3db9, 0x4f71929d, 0x18a569ba, 0xa1178c0d, 0x0ae07200, 0x37461ed0, 0x57469081, 0x80891bc2,
+    0x7d0821ab, 0x005a2979, 0x7cc10412, 0x02e4464d, 0x1684159e, 0x981923a4, 0x19b8bc37, 0x1d78b6f7,
+    0xb8d22fd8, 0xb82cd1d4, 0x81084530, 0xa1b54988, 0x06107809, 0x76ec5690, 0xfaf7615e, 0x471b85dd,
+    0xf68f49d8, 0xed4e515d, 0x23fbb407, 0x27ad5c43, 0x3d779549, 0x6175d59d, 0x37b160f0, 0x6c87b8ac,
+    0x21ea8b20, 0xb4226815, 0x7450d1f4, 0x8b8cb5bd, 0xebae70ec, 0xdea1edfd, 0x91fc7511, 0xc4117485,
+    0xa4b89147, 0xe102b0a8, 0x1c8a93d6, 0x9a76c4e2, 0x2007837b, 0x44288c06, 0x73799f07, 0x8c041d4f,
+    0x5f668487, 0x55652d8d, 0xbe80f4a8, 0xa455f74b, 0x2a1b1047, 0x2c47d767, 0xde49e1e0, 0x28e91d68,
+    0x7132cf02, 0x2b93e370, 0x9818da5d, 0xc53171d2, 0x5d9e69e9, 0x8822fe3b, 0xdf6dfc3e, 0x91b61393,
+    0x050d0821, 0x71010998, 0xb93fd891, 0x2c80775b, 0xb1ff0883, 0x64e120d1, 0xc3d5eec1, 0x8be10b82,
+    0x84a0181e, 0x61928b4d, 0xa481a48c, 0x33c5503e, 0xc60a375f, 0x909fc882, 0xab3516fd, 0x8be6f6a7,
+    0xdaa1fa9d, 0x4b497fa3, 0xd0bbe5f8, 0x132343fe, 0x30606003, 0x5b8ebe73, 0x52d68987, 0x60dc5e2b,
+    0x8f6efbc9, 0x5957b7b9, 0xe06708ab, 0x5e84be0a, 0x7dcb5bb4, 0x0cbfc595, 0x22f5bd4e, 0xcdb36651,
+    0x482aab26, 0xbf5d9ea6, 0xd00f6223, 0xfdd4919e, 0xced70625, 0xc20077ff, 0xcb983792, 0xc804fcc2,
+    0x029e679c, 0xfcafea65, 0xc07d039f, 0xf829d526, 0xe089b8ab, 0x57764754, 0x20c51dfc, 0x7f9054df,
+    0x82d05ed2, 0xb26474b5, 0x5e59ac4c, 0xfd96ae26, 0x82d99475, 0x6bfbfe90, 0xae95e2b2, 0x5016bb86,
+    0x4619f7b4, 0x282feed4, 0xe18381f7, 0xe7a1d995, 0x36a58d54, 0xe1a131c2, 0xc92285d9, 0xb6e9b9de,
+    0x76528d0e, 0xedb1b24d, 0x68fcf48d, 0x3fdc1c03, 0xa23f57c0, 0x6159c17b, 0x59ca864c, 0xcec46a8d,
+    0x396bfe23, 0x08edcf6d, 0x2d5d1acf, 0x1bf9f0a9, 0xb68e8c29, 0xb879da66, 0xc3ea345c, 0x14b59f70,
+    0x7037d13a, 0x7f496ca7, 0x4aa20744, 0xfe845b12, 0xe9a5b98f, 0x9f3347fc, 0x8a67f786, 0x158629e1,
+    0xfbdb585f, 0xa1ebc591, 0x391f9e05, 0x8d093ee3, 0x160f12d1, 0x9411a758, 0x8b54b0d2, 0x4a01e057,
+    0xa829838a, 0xe5bbe21c, 0x503de007, 0x64cb11e9, 0x774930bc, 0x242b7c15, 0xba36fad4, 0x94374b43,
+    0x286225cd, 0x13829efa, 0x7d75c287, 0x22de36e1, 0x4e6ef543, 0x7fdd7ce0, 0x624d1fd8, 0x18c72c49,
+    0x5abb1fe9, 0x4fa21304, 0xe42bd1e6, 0x55a5cc37, 0xd04d3362, 0x3acf3823, 0x9d3d6f2e, 0x626ffcf0,
+    0xe6765ca6, 0xcdee1e84, 0xaf1abd9c, 0xfaac1c1a, 0xe218a973, 0xd98353a7, 0x894b1ccd, 0xa0be0744,
+    0x5844eca8, 0x48f9f40d, 0x749acb12, 0xd8d3ae5d, 0x08a10e35, 0xe2b092f0, 0xfafd4504, 0xbb0d1423,
+    0x5c92326b, 0x20e1117e, 0x032fbf71, 0x79b6df50, 0x6c522f58, 0x29565a12, 0x7c065804, 0xae9b0c2d,
+    0x06aac576, 0x306800e4, 0xa2a90d38, 0xe703fbaa, 0xe5bd5b8f, 0xdbca0c0a, 0x12659214, 0xa1e0410e,
+    0xb70e11a6, 0xad1d3b76, 0x0c5f03df, 0x55745f8a, 0x805ea720, 0x6fd789bc, 0x3e7a0410, 0x795f2c88,
+    0x7ef92e0c, 0x6564f5d2, 0xb399b63f, 0xfb1ab4a1, 0x00faad41, 0x9570f532, 0x254da7b0, 0xc19b339a,
+    0xd8d63363, 0x8f605d6d, 0x0fb7ab0b, 0x1d94a989, 0x540cc52a, 0xb63322f1, 0x60b65464, 0x4cef42b2,
+    0xcd3eaf08, 0xc508e304, 0x0785cea2, 0x9bf3a72c, 0xdf83f0ec, 0x69225f3a, 0x4c51c8ef, 0xc9ca9c5a,
+    0x16c79f5b, 0x2eabce22, 0xf8f3722e, 0x8264f517, 0xdce91804, 0xda3d7b8c, 0x733a8fe2, 0x09004466,
+    0xe6b9edbe, 0xe6108b80, 0xb6a5b6e6, 0x4efbc01c, 0xbbf11bb8, 0x76eced46, 0x493cfb4e, 0xbcd204c8,
+    0x21e4de33, 0x17f1f24b, 0x68c5cdce, 0x29b37938, 0x0c1413cc, 0x6a5b01ad, 0xc2c5ce46, 0xe507953a,
+    0x1c7f93ae, 0x0781a222, 0x092702d6, 0x7c76c243, 0x797f52d9, 0xcdc15712, 0xad6229b5, 0x8b218dd3,
+    0x4f0fcba5, 0xe24e3c6f, 0x0702c56f, 0x5ef21890, 0xc6eda82a, 0xe9bfe7aa, 0xd82ae74c, 0x2601b790,
+    0xd8664498, 0x51378cbe, 0x9703edcf, 0x19120ced, 0x54ec46f3, 0xa37fd338, 0xa3748b75, 0xc057dee2,
+    0xb23bcfb2, 0x35989cce, 0x3c1577b2, 0x9cb9dce7, 0xccdb2cb8, 0x16114481, 0x8e61015e, 0xc2644bae,
+    0x8f047926, 0xf1a8b84b, 0xc96f29e4, 0x5534d671, 0xab739bbd, 0xec430cb0, 0x32fe29e7, 0x07f66adc,
+    0xf920476b, 0x2a974183, 0x3eb4f28e, 0x328c4866, 0x331fc378, 0x9931544d, 0x57c56483, 0x5b5f1e0b,
+    0xc3c466a9, 0xfbea74f0, 0xc01908a7, 0xcc089051, 0x09db5572, 0xf1238c5b, 0xc054182f, 0x70c12da5,
+    0xce90025e, 0xd79e0afd, 0x7d2ec8af, 0x316cf124, 0xab263a22, 0x4ad3f959, 0xe22a0253, 0x8e3ce23c,
+    0x59b09aeb, 0x1b2ecf81, 0x361abd2e, 0xb54bb2bd, 0x64332896, 0x2eefbbb0, 0xbc33d5e2, 0x2ce9635a,
+    0x35eebb75, 0x07cf6e29, 0xebe01163, 0x18c38964, 0x36146006, 0x55bec125, 0xda6a9604, 0xda9094db,
+    0xdab98ef2, 0x0f519e4d, 0x61d5238b, 0xca84bc42, 0x569babdc, 0x57167491, 0x822dffad, 0x3b00c593,
+    0xd5cbcc70, 0xc0ac4028, 0xde66e789, 0xce4cba85, 0xf1687978, 0x2fe1533d, 0x0bd3bb66, 0x04638a02,
+    0x67dcf37e, 0x6b6782ae, 0x16560411, 0x62ddd480, 0x75d81857, 0x6e9f3028, 0xe522ae11, 0x98178c7b,
+    0x9a3f8096, 0xf905bcd7, 0x6416602c, 0x05feacb8, 0xfcafa3b7, 0x66083634, 0xd91e3d32, 0x597c1b42,
+    0x282bdefc, 0xe65f0aab, 0x1e5b9b53, 0xa0f5014d, 0xcec3135f, 0x92a5ff1b, 0xb6641756, 0x2d2dae67,
+    0x682f1a38, 0xca616690, 0xb5333312, 0x6a0eb58f, 0x8b463a97, 0x6bbd54e7, 0x202353a4, 0x48d803d3,
+    0x6a3239d4, 0x53a9ae0d, 0x993bd8dc, 0x624c6400, 0xf085f850, 0xb0c281e8, 0xa00d3e3b, 0xf0f415fa,
+    0x47e4e272, 0x8a6ae98f, 0x009eeba1, 0xf945f08e, 0xa46d7559, 0x751f75b9, 0xca30e0ab, 0xd1d05a8e,
+    0x249152f2, 0x8120e6ee, 0x03364f29, 0x5f5b48c5, 0xae39b9f7, 0x3dbc4832, 0xe734ebf5, 0x63c62a80,
+    0xebfe3728, 0x5441c2aa, 0xd82e13f1, 0x4698df74, 0x863a3a69, 0x4d602c64, 0x86ce82c6, 0x24f3e647,
+    0xce5b7588, 0x16490743, 0x907bdaad, 0x6da1e175, 0xc90e5096, 0x7a35ee44, 0x1eecbbb7, 0x49d40c23,
+    0x4f2e0e0a, 0xcacc14f3, 0x41c2f04c, 0xccc12215, 0x11741ae1, 0x64dbf1a8, 0x83464e84, 0x8974ac9e,
+    0x6ab23c50, 0xe37bae3c, 0xb42cd36c, 0x7e1ef8d4, 0xc8706871, 0x8b111e98, 0x3fd74994, 0xb1c9b510,
+    0x0c037fee, 0x94c7b74d, 0x29590992, 0x2b9fa287, 0x042a382e, 0x989e9598, 0x6f12d121, 0x77c0c2e3,
+    0x12dbee0f, 0xe686e5b0, 0x898e4a76, 0x4fbf6fbc, 0x0bc108d4, 0xfb491eba, 0xa3322275, 0xf83efc54,
+    0xfeb18cf1, 0x9464f2f0, 0x9223af78, 0xe6f7ec2e, 0xbfb1bdc5, 0xdfb2bac6, 0x00ee03b3, 0xc053f1fa,
+    0x2a0f55e5, 0x88df3047, 0x81ffaa61, 0xdd2db6a3, 0x14d80bdc, 0xab139e81, 0xbeece525, 0x0b7f693f,
+    0x1002b541, 0x84c7b856, 0xb7e6e16f, 0x8d1b5c66, 0x821fdf1f, 0xbfb6ab8e, 0x043eb5ed, 0x1563241b,
+    0xcb36e216, 0x47d27ea5, 0xee4e245c, 0x5e67c33c, 0x05a263f5, 0xe95ffa12, 0xb0a471be, 0xdfdd358c,
+    0x189e5cbc, 0x5138e237, 0xc9dea726, 0x88811f3d, 0x324e0753, 0xe90d1cc0, 0x31c82346, 0x97240007,
+    0x427fda80, 0xc75c4ee8, 0x554defb9, 0x8acfc014, 0xde889162, 0x973266c8, 0x5eaf9b42, 0xf68324d0,
+    0xd398b3a6, 0x7599e7c4, 0xc570ef36, 0x5c881f5d, 0x0787f53f, 0x9523b61c, 0x2b041244, 0x96a2fa1e,
+    0x8f37193e, 0x31ac0eb3, 0x235ed49f, 0x9e220a97, 0x67e22137, 0xec189c5b, 0x7ce2cf2c, 0x872d3b54,
+    0x0aceb7b0, 0x2c2bf653, 0xeb56890c, 0x95619311, 0xea2c827a, 0xa69fe9db, 0x7ff36417, 0x5feaa447,
+    0x6c2055b9, 0xf96f0466, 0x742fc5a0, 0x07a78a46, 0x20534698, 0xbe21529a, 0xb3435c5b, 0x1312dd94,
+    0x10f2cc10, 0xaa013059, 0x390526d7, 0x4be9b5e1, 0x5947b1d9, 0xe4933866, 0xaaea85df, 0xd34daba1,
+    0x1d2be2df, 0x2e899d90, 0x56d4094c, 0x500ba5c1, 0x430aaa0c, 0xc47e53c0, 0xe7d01ebb, 0xd7860827,
+    0x32f6f950, 0x1cc4059e, 0xfe39dd9c, 0xd022d75b, 0x13da9b31, 0xfe52c096, 0x1a33d961, 0xb8e5b36e,
+    0xd54cee2d, 0xf7daed72, 0xa0542462, 0xfe6b481f, 0xcd283eff, 0x9ccd5e5c, 0xecf19cdf, 0x05992d7d,
+    0xfcb43969, 0x22ea1502, 0xb42ca862, 0x5449b9ba, 0xe95a2f60, 0xc14618b5, 0x43a51c41, 0x42146045,
+    0xc4639bdd, 0x518cdfbf, 0x54a395cd, 0x3a554e38, 0xd0afcdcd, 0xcfec75f1, 0x82862436, 0xe24bb8e2,
+    0xab4e7589, 0xc0d3c5ed, 0x930f0de2, 0x9eecff86, 0x40967b52, 0x717de0c4, 0xf7e774b0, 0x884d1500,
+    0x38bf557f, 0x9c18dc84, 0x22815e09, 0x36ac37c6, 0x6ecc80db, 0xa1ba625b, 0xfcf07f9c, 0x4c9a799c,
+    0xfcb03e59, 0xc74b49a1, 0xbf1acf9a, 0xcff5a9c1, 0xb324be7d, 0x7e8215d0, 0xe3a84fd1, 0x943590e1,
+    0xe2788097, 0xde81fbd1, 0xb3c1eed2, 0xd9e3c605, 0x50109447, 0x31cc916d, 0x7e293994, 0x6e8852ab,
+    0xfa2a1515, 0x5184e42a, 0xf5b5b986, 0xb2ad5454, 0xbaa602e6, 0x12bf6a4a, 0x6b3d9a4a, 0x4b2bc0af,
+    0x92299a46, 0xee2a3117, 0x787cc910, 0x73dd9c73, 0x1bd0ef8f, 0x4fa01a9f, 0xfb37a3aa, 0xe63c3cc0,
+    0x5ef28a1b, 0x0f647932, 0xa1cf339f, 0xd3e97f52, 0x0e4a8b6c, 0x7ad46208, 0xdcfed78e, 0x655a87a5,
+    0x6d2f948e, 0x6f260e54, 0x98e2ed53, 0x9f7ce1e2, 0x2f095de5, 0x27bd30ed, 0x92bed420, 0xba51673e,
+    0x2fe6dd32, 0x46e3f0f8, 0xb6af0432, 0x6972090f, 0xb7a3cb3d, 0xf1eaa8ac, 0x201e324d, 0x9a86ddbf,
+    0xbe0b3690, 0xf6e2406d, 0x0d149660, 0x06c9faee, 0x16babc48, 0x31b589e2, 0xa122af77, 0xab503921,
+    0xb014055c, 0x778ee299, 0x4c76123b, 0x2332d448, 0x4c29628f, 0xd7233031, 0x286383ab, 0x46277df1,
+    0x84a64d6d, 0x7836b15b, 0x4e5c19e8, 0x65c1c940, 0x79700c8f, 0xc439b76e, 0xcce905cf, 0x2d81b7fd,
+    0xdd631def, 0x7d3060eb, 0xb9ddab54, 0xd27235e7, 0xeb0494a8, 0xcaf2e6aa, 0x95d76bf7, 0xc1291cd2,
+    0x00000000 }, /* 10**-00000000000000000003634193621478034452746619039440022671768206803436590301407\
+                          45099590319644056698961663095525356881782780381260803133088966767300814307328 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1,
+    0x6e49537f, 0x7d187a62, 0xf99af021, 0x622ae0c5, 0xc1db4154, 0x9c52f429, 0xebca11b7, 0xfa9a35aa,
+    0x00000000,
+    0x91c9981e, 0xa9a9cba3, 0xb86d557a, 0x41cf8671, 0x1c5ba489, 0x0b40243c, 0xb554336e, 0x8a657ce9,
+    0x7f7e66ab, 0x9587946f, 0x8f3615fd, 0xa0c4b8fb, 0x8ceb52de, 0x67b45c95, 0xdf2e7723, 0x7eb03270,
+    0x0412a823, 0x8e348091, 0x4ba17c2d, 0x4701694a, 0x4b60d287, 0x560a46c4, 0x485f98f8, 0x33bf1058,
+    0xdb85493f, 0xeab2e13e, 0x78b4fc2e, 0x9980d62e, 0xd7c756d8, 0x80e33904, 0x14c1ef72, 0xd93a7224,
+    0x6377403d, 0x35094c49, 0xead7982c, 0x68b64479, 0x9f700aad, 0xdb715fd4, 0xf0aa9b9b, 0xc19df4d1,
+    0x3e613506, 0x7312001d, 0x48f64066, 0xaf6b9e0b, 0x646def2a, 0xaf9c51d0, 0x2fe383fc, 0x4666b152,
+    0xf549a7c0, 0xcafadc87, 0x59a82f14, 0x369a1a43, 0xf07e91c8, 0x8bac4a5b, 0x2647afeb, 0xc00d6cb9,
+    0x7d5ffdfd, 0x5ebb3039, 0x4f31ab15, 0x4d65ce32, 0x67bc9ca4, 0x24e9492d, 0xdecbeac7, 0xc13bbc37,
+    0x9a6fcd65, 0x56cc16c8, 0x0d4150a4, 0xba19e73f, 0x6787583c, 0x29e6c28d, 0xf45a2e2b, 0xa6ffeee8,
+    0xf1af890a, 0xc83e6db9, 0xc5160662, 0x7c7574d8, 0x2553eaee, 0x5cc60e9e, 0xfea67fa3, 0x6bd3661d,
+    0xe744f30f, 0xd4d7bc10, 0x983c46d4, 0x12803994, 0xb2cab38d, 0xe902a2b0, 0x02758252, 0xd2d80e3e,
+    0x34da9b55, 0x372a11b6, 0x63da1db1, 0x13b7b46b, 0x12eb46b6, 0x137b037f, 0x09e6e028, 0x69c7ef91,
+    0xe04b3a05, 0x2b9a2bcf, 0xc7400978, 0xb6c649b3, 0xb5937de6, 0x65b4debe, 0x383e8849, 0x7337029e,
+    0xa9b4dbd4, 0xd8b42fa7, 0x67d72d8a, 0x5f808b64, 0x09ce6a18, 0x750e3856, 0x6e020ade, 0x41166162,
+    0xce67667a, 0x6af3e7c9, 0x57196111, 0x785f51ba, 0x3fcdd640, 0x54907316, 0xd3071e5d, 0x1649cae7,
+    0xd3ea2332, 0xa065aeea, 0x6c8bedf5, 0x61553002, 0x0064461e, 0xfa23005a, 0x55cd07e5, 0xa6a2d22e,
+    0x14f1a7b8, 0xbc770599, 0xa7a9f2f1, 0x658ae4e5, 0xf7bbb6bc, 0xc3bbca53, 0xcd0aff33, 0x319b8577,
+    0xebb7d568, 0x32e47633, 0xc7651062, 0xf2d4edbe, 0xb69ae587, 0x6cfd2cba, 0xacb9c8c8, 0x9189ac36,
+    0xc574e984, 0x51091cfb, 0x0c97e610, 0xc58c41c8, 0x00c2e005, 0xd076a804, 0x220b6eed, 0x889c13e0,
+    0x5280bf1b, 0xe7e38e9d, 0xfb034147, 0x9d2c6b4e, 0x60313332, 0x200449ad, 0x134dfd0e, 0x3171233c,
+    0x2e21299b, 0xdc87b974, 0xd4f68701, 0x60d0ed02, 0x6955c8de, 0xed13b4be, 0x8effc8ed, 0x20621c69,
+    0xbbdefedc, 0x4b08a1b0, 0x5737ae7f, 0x8688889c, 0xb26f349c, 0x8642e25d, 0x3e2d09b4, 0x461901c6,
+    0xc173b93e, 0x490a47d6, 0xf24d16ad, 0x69f19b01, 0x42120787, 0x3e56ad42, 0x95a7bffa, 0x99b6e435,
+    0x87840afc, 0x9c7757f7, 0xa8038715, 0x3ae885d7, 0xe745accb, 0xa2eeef3b, 0xb43d82a9, 0x604018ad,
+    0x1e756b8a, 0x20cd74d3, 0x86fcd9bd, 0x6c1d80fe, 0xa2955d81, 0xffdef9a1, 0x4a5ae3d1, 0xc41afcd6,
+    0xcc941d28, 0x045db912, 0x43a38c00, 0xfccaa156, 0xd75f9c87, 0xa46a89bb, 0x39dc86fa, 0x08283756,
+    0x5d32a7b1, 0x321569d9, 0xc295e0dc, 0x949d5161, 0xa0db15b1, 0xbcef66df, 0xdbd4ddf6, 0xdb9ca9d4,
+    0x45367877, 0x6c97305a, 0x4d70f7e9, 0xc4b385f8, 0x4fe9b411, 0x491db876, 0x2e747849, 0x63573ab2,
+    0x5dded9f2, 0x09e70cf4, 0x305aefd6, 0xdc7bb30c, 0xc5ea0b4f, 0x6b315cea, 0xc1acfc52, 0x24de25b3,
+    0xb8db20cd, 0x6166832a, 0x06fca1c9, 0x817a5211, 0xa6cf04f1, 0x352e04a7, 0x77576d49, 0xca99d1a9,
+    0xbe6d7824, 0xd08be66e, 0x867c0415, 0x722e62e5, 0x603d0671, 0x9c6aa372, 0x1f3787b1, 0xfebf753a,
+    0xcb7895ec, 0x8836b37b, 0x3b805d51, 0x79fc6c4a, 0x354f00ac, 0x20ef0179, 0xd535dd71, 0x6698f9b1,
+    0x0d7b780a, 0x7fba6e3b, 0x7c7c187a, 0x9c55d8cb, 0xd59ad5ee, 0xe5028d72, 0x47596274, 0xbd4e3a3c,
+    0xea27683e, 0x6f7011c5, 0x06f5be7a, 0xf7212c11, 0x65c38858, 0xdedaa886, 0x84ab547a, 0x12206b5f,
+    0x42617ee8, 0x5d949bb3, 0xc9168f4e, 0xffaa4dda, 0x8a76607e, 0x9f5f0b52, 0x15b85c5e, 0xe2e3a46d,
+    0x3cf0ea02, 0xa20ece7b, 0x847b2f99, 0x8f2e55c5, 0xcb92ddcf, 0x098369cf, 0xb8496896, 0x36bb1ba7,
+    0x0d08c4af, 0x89084e7f, 0xe64e88d0, 0x30fb10d9, 0x9bfeac36, 0xc4e11f99, 0x41185049, 0xc0a66232,
+    0x109d71a5, 0x67823b2d, 0x24b7d212, 0x0835c0e9, 0x65a8e17d, 0xbe72ff9e, 0x309a9ccb, 0xb91a8ce8,
+    0x749bc377, 0xbb875cbd, 0x61123bfb, 0xb00d77d9, 0x8a528aee, 0xd0997633, 0x7c6adcbc, 0x0fb09d16,
+    0x41759fb0, 0x1accb845, 0x02193684, 0x73d44bd3, 0xd8a212a1, 0xf810d77f, 0x0496cf52, 0xc3f92e7b,
+    0x5665e978, 0xc4c6b9e5, 0x88779228, 0x827bde4e, 0x4630a9ba, 0xdffafe74, 0xca0cef6f, 0x79580631,
+    0xf630f002, 0x64014191, 0xb916a346, 0xd345953c, 0x9ab921b6, 0x73eba740, 0x64d0fb37, 0x1e8048b6,
+    0x039f3d23, 0xcf1d4552, 0x6869fe40, 0x1fa4cffc, 0x633bf26b, 0x2c8ba371, 0x2b9f106d, 0x13ea906e,
+    0xcb81e42a, 0x41b10e53, 0x1a572d2a, 0x0b63054a, 0x4a505456, 0x7659599f, 0x16e8cfab, 0x02495654,
+    0x3601418d, 0x136f7c54, 0x10ecdf71, 0x9a0703e1, 0xa0737531, 0x41fce452, 0x5bd86b1b, 0x3d25d86b,
+    0x1a76afd9, 0x9fd46d20, 0xcc2560d9, 0x47293f4f, 0x4c22a552, 0x8c949d4e, 0xa04f2b7e, 0x2058e11d,
+    0x512da541, 0x9befd845, 0x88249a84, 0xb1e07aad, 0x730f214e, 0xbd9ee115, 0x64f40cc6, 0xc80e81ad,
+    0x5ae5c556, 0x8c0a714f, 0xa212b611, 0xdb11d8bc, 0xf2ade0be, 0xc20b36a9, 0x4a5c5c81, 0xfd73e370,
+    0x2cb0e33f, 0x9cae777e, 0xfabc2a89, 0x53d4f35e, 0xea158460, 0xe6c11617, 0x5ad5bdb6, 0xbf8860ea,
+    0x81fa3fdc, 0x67b61130, 0x3203f3ee, 0x09f161e2, 0xdfbc5044, 0x88f2427b, 0xb9032a16, 0x45065059,
+    0x6159c77b, 0xa6e91b35, 0x322ab983, 0xe320bc18, 0xb6afdf81, 0x8d64650e, 0xbc8a5537, 0xcbb6dd4a,
+    0x03b1ceed, 0xabd50306, 0x1a9412a8, 0x9bda28b5, 0xac01b5ad, 0xf149928e, 0xdf65f7d4, 0x3743d482,
+    0xde981449, 0x22989f1d, 0x174063f1, 0xd6947c58, 0xf20722db, 0xa9809422, 0x609b2eb7, 0x278b2396,
+    0x0611e703, 0xa957a06e, 0x21415eab, 0x9b5f7af9, 0xe2b6f6a8, 0xf332aaf1, 0x89c5b4cc, 0x8b587d0a,
+    0x37456511, 0x47f56d6f, 0x57503f4f, 0xb301be33, 0x27fd59ba, 0x38f0e345, 0x6f8de124, 0xeaa9c277,
+    0xb19f0299, 0xa06c5ca1, 0x186e38e0, 0xb77d9a3c, 0xb999b7eb, 0x652e4bba, 0x5f4284e9, 0xcd773735,
+    0x134bcf1a, 0x602a5be8, 0xb1da12e7, 0xafb0dfa7, 0x2686f0d4, 0x84ad6095, 0x3742f30f, 0x209bda06,
+    0x03a0c046, 0x444bd7b6, 0x93aaf0c3, 0xfacf157a, 0x8aa856d8, 0x7f6c4411, 0xce71c2be, 0x24c77628,
+    0x819de29f, 0xdbd50109, 0xda653b72, 0x97a16ce7, 0xe8584f2c, 0x4f403bef, 0xe956e465, 0x8efc777d,
+    0xa4f0aded, 0x906f4718, 0xa2e0916c, 0x5575f0c9, 0xd344f3fd, 0x7639fb88, 0xb726240c, 0x79d3bba1,
+    0xfab7ee30, 0x3591b7b5, 0xc817f092, 0x84d8c71f, 0x920e727e, 0xf86f3831, 0xf387c2d8, 0x26edc992,
+    0xd75bd8e4, 0xc04e3f3c, 0x15c2a412, 0x1250aafa, 0x0ff16d1e, 0xdc296698, 0x95d73774, 0x77dd3d90,
+    0x316f8909, 0x2f6a6ef6, 0xfadde1cf, 0xeee86c35, 0x009a14fa, 0xee01ab77, 0x370b26cd, 0xa28f3970,
+    0x2582ccf8, 0xc12ef07c, 0x4454ab8c, 0xf56b4c4c, 0x04971653, 0x49326487, 0xcd77ac02, 0x7dbd8396,
+    0x1dbdbc98, 0x85ac13c5, 0xaa9d616b, 0xfebc2b96, 0x5ce89689, 0x6bcb0b0e, 0x2fba3f7c, 0xeefd111f,
+    0xc4515815, 0x0ccb5912, 0xf71fdcd7, 0x6263629c, 0x16445a05, 0x44e453a0, 0xef28646f, 0x468d6d66,
+    0xe30c8293, 0xcbd59f2b, 0xbcecc94e, 0x080153d5, 0xdf8a6c4d, 0xfcb75adc, 0x3ec59706, 0xee3846aa,
+    0x81afb65c, 0xaeeb0d66, 0x354eb466, 0xba69546c, 0xc7565f41, 0x76f482ef, 0x2686dfb2, 0x4d63da97,
+    0x94212db0, 0x19b5e454, 0xc76c1946, 0x6d93d15d, 0xb3f580df, 0xf3ad61c6, 0xd3f4a7ad, 0x03892044,
+    0x02f61fc8, 0xfb04ce9d, 0xef8b32d9, 0x05d3d5fd, 0x79785193, 0x0d05ddea, 0xd954435b, 0xe207b1e0,
+    0x0debf2d5, 0x91acd031, 0x35fd9c65, 0x41d5ddb5, 0xf91d5b46, 0xa8f82088, 0xa2145fcf, 0x5505445b,
+    0x165e8237, 0x7d2c7151, 0xb7926951, 0x620bdd18, 0x7e8abfe3, 0x75d71ef7, 0x55bc7694, 0x1bfcfb14,
+    0xe3a1f568, 0x661b0a31, 0x570cbcf2, 0x86958a15, 0xbe3e2335, 0x60ff3f87, 0x483d8b4c, 0x298adfeb,
+    0x1bf40c1e, 0x12ce75bb, 0x1af4c95b, 0x3d62f22a, 0xec30d2e2, 0xcd8c933e, 0x853ba1b8, 0xeb5db738,
+    0x5ca3cc62, 0xd9a0c09d, 0xbdbe15ec, 0x15af05e1, 0x7453febf, 0x36832f22, 0x978cf0e9, 0x63d0e205,
+    0x1f50a091, 0x1ea58d2a, 0x0c554f18, 0x5f277216, 0x4b10254c, 0x0581351c, 0xa0ca5110, 0x4828cecd,
+    0xb81a9cbe, 0x67b6510b, 0x247142a2, 0xf8dc0bf3, 0x9668f1fa, 0xdc5a0af8, 0xe58cbf78, 0x093c295b,
+    0xb9f1a9fe, 0x57e43269, 0xa70baaf7, 0xe64cbbbe, 0x50795732, 0x1ebe414c, 0x1a31a10e, 0xdd286c81,
+    0x3c57d001, 0xae377271, 0x47b0c3b2, 0xade6b9f1, 0xb578cae6, 0x93e9a43e, 0x0e855d0f, 0x0a6a776b,
+    0xb24d67d7, 0x9967da81, 0xbb45b44f, 0x3d718944, 0xf4d93174, 0xef08b66f, 0x4220a2b5, 0x90cc801e,
+    0xaac30037, 0x8e55c6e3, 0x2a1aa211, 0x84d1564b, 0x1b2d6f33, 0x2a5eff06, 0x53be7c66, 0xd891f1d0,
+    0x7851d5de, 0xb14652d9, 0x4b8cd257, 0x85926b96, 0x7d5bc5c0, 0x67fc9938, 0x47f90417, 0xd1db2f80,
+    0xd33c6bfa, 0x07195553, 0xdb5db290, 0x97f3f4d9, 0x75dfef72, 0x56eb57b4, 0x7c3fd366, 0x670417be,
+    0xf8d8a2ec, 0xd6f3d333, 0x00023830, 0x22df95aa, 0x49d3a500, 0xd4135ee7, 0xd047dfad, 0x0092b066,
+    0x15d793b7, 0x3f7f839e, 0x5e266861, 0x0cae4ace, 0x65d21045, 0x92760354, 0xf72b3b21, 0xb567d2d3,
+    0xbdd89925, 0x326392b5, 0x59725e11, 0xea81b4b9, 0x159d7903, 0x43f9cf6e, 0x3c16f8b2, 0xfe8c4383,
+    0x9cb90a8e, 0xe7c8663d, 0x0e30a460, 0x25e6039a, 0xd419f75b, 0x81f617be, 0x8d623737, 0x29d62f7b,
+    0xef20cb27, 0xdd9c50f7, 0x0920b3f6, 0x92e0f760, 0x07efbcc6, 0x68b85c10, 0x85dab69f, 0x1a3a6480,
+    0xd27cf69b, 0x111cabd6, 0x0adec9e0, 0xee137711, 0xeee31c8d, 0x3e9694be, 0x055d814d, 0x6479a94f,
+    0x499e9bbd, 0xc582661f, 0x60b925b3, 0x8da4e008, 0xb339a594, 0xc887a8bf, 0x00e08d71, 0x0419d920,
+    0xde97d94d, 0xb5d5b238, 0xac9697f6, 0x364707ce, 0x55e1d108, 0x299258e3, 0x1c056dd7, 0x0f82291d,
+    0xead85e6a, 0xc680f8b1, 0xbbded9ab, 0xa9b81daf, 0xaacc17ce, 0x33b1dbf3, 0xe23de716, 0x2e9eb4e2,
+    0x5906600c, 0x4191e2ec, 0x6ba22e37, 0xb99772ce, 0xab24fb28, 0x9495fb6d, 0xaaf2fb0d, 0xd4edb5a1,
+    0xa7d23fcd, 0x734abeea, 0xd257a151, 0x9a3d6f17, 0x08b6fb3b, 0xc90413b8, 0x9b73ca1d, 0x157f7c52,
+    0xc3d2e98a, 0xf91995b3, 0x9eac037b, 0x0df739f5, 0x44c2711f, 0x592be404, 0x4e22fe19, 0xf617197a,
+    0xa5953e5d, 0x854521a3, 0x4230599e, 0xdf32f216, 0xdab6ece2, 0x382843c0, 0x68c2a020, 0x3dce2ad4,
+    0x2948b9c3, 0xb8501f22, 0xf0746bfa, 0x09c447f9, 0x4204eea4, 0x3ce21d5c, 0x66bf49bd, 0xbb0100f4,
+    0xdccaa236, 0x8235375d, 0x3289d4d8, 0x87a1fa45, 0x333a1a63, 0x87c8e379, 0xa7febb30, 0x38469a83,
+    0xd7a19b0d, 0xdc81c944, 0x7117f0c5, 0xfa828ca0, 0x7a279008, 0xe63c1a7b, 0x52a92832, 0xff84b6a2,
+    0x3be6cc61, 0xd9a569a1, 0x62f39698, 0x6c3028bb, 0xb1a1732d, 0x0ff418fd, 0xc161fd01, 0x26cc705b,
+    0x4cd71154, 0xe5d11eed, 0x4711066d, 0xb41115ea, 0xe35e05a9, 0x74728abe, 0x8f49c30d, 0x9baf35d5,
+    0x3cf62d92, 0x1bf55c5b, 0x29a50935, 0x541542ba, 0x308c4d3c, 0xf1b60719, 0x124308ea, 0xf07c5624,
+    0x02cc01fd, 0xbfe01de1, 0x0e7128f1, 0x348df9b3, 0x5efe3008, 0x85824319, 0x67ac2cc5, 0x55e89baf,
+    0xd095aa74, 0x73deb109, 0xc104efab, 0x4b041b6a, 0xbb403509, 0xce801927, 0xebd8a2a3, 0x8e123415,
+    0x44cf2369, 0xfcdea201, 0xd53ec560, 0x168d3148, 0xc496245d, 0xda0cff15, 0x399043a1, 0x64b3246a,
+    0x01781356, 0x5441542c, 0x1f351e35, 0x595e68bc, 0x5660ff75, 0xc599a513, 0x0296bfb4, 0x600d2d45,
+    0xe7a44987, 0xa688655b, 0xf1b51e57, 0xc989fc20, 0x2555ab31, 0xa96d52b0, 0xa539ba95, 0x2ea20949,
+    0x602a17b5, 0x049eed29, 0x04edadbe, 0x6b795bda, 0xe456aed8, 0x27dec931, 0xe816d54f, 0x5e14c66c,
+    0xea50e204, 0x77a5d49b, 0x6b5147a0, 0x4b846441, 0x33654cbe, 0xe7d8ca74, 0x8a285959, 0x6587be59,
+    0x037e6fc9, 0xa78eda94, 0x0a33b7d5, 0xc29c81ff, 0x41ac91d9, 0x76db219d, 0xaf1366fb, 0x8ccc6101,
+    0xd1f453ac, 0x39e05a9a, 0x336d0b56, 0xff247d23, 0x645ec241, 0xbca43cd5, 0x2419df1e, 0x9191f284,
+    0xe78fed06, 0xe1881c5a, 0x52a563c4, 0xe6afe41e, 0x6d6559d9, 0x398f9d14, 0xbc82c988, 0xcde40edb,
+    0xc5a912c1, 0xae071ff9, 0xdc280971, 0xfc2a4de2, 0x6b1c9405, 0xc3aa5553, 0x595b57a1, 0xbb270e59,
+    0x3f1a94e5, 0x9b1e5f92, 0x76dc11da, 0x963a8272, 0x06afb2b9, 0x366ac82b, 0x89864fbf, 0x342b96dd,
+    0x69937b0b, 0xb7221e55, 0x0351a07f, 0x5039d1cb, 0x8751fa99, 0x637c4086, 0x09a1b0fd, 0x25296594,
+    0x1cc61952, 0x995ad222, 0x5f3b2ab5, 0x451ab1ef, 0x4139f30b, 0x3862950e, 0x4c4f7918, 0xedf762d6,
+    0x0219c9ca, 0x19b1f2ed, 0xa28bb28e, 0xd686e621, 0x5dd2896a, 0x47569559, 0x29c145ab, 0xf30d053a,
+    0x95d0fa87, 0x0dcebde3, 0x2d1c638f, 0x83f686f9, 0x975afa06, 0xb6776f9e, 0x7e6372e5, 0xd826c5cb,
+    0xd3272f5a, 0x80a7a6ba, 0xa2b755d4, 0xbdad1cc5, 0x16ba849b, 0x562a830f, 0xc7f788fc, 0x99766b95,
+    0xef88e68f, 0xa28b2497, 0xe8e2975a, 0x4465367b, 0x41446a4f, 0xdf9bba3d, 0x7fbf0aae, 0x24f38db6,
+    0x06411173, 0xcbfe9c63, 0x168cdf97, 0x3d1b70af, 0x1e0a4bd8, 0xf747afaa, 0xd69c07f0, 0xa7c577ed,
+    0x5606ddfa, 0xf367df8b, 0x61380b91, 0x0234d1ee, 0xfc2a4148, 0xae02fd22, 0xd957605c, 0xe176f299,
+    0x4d361531, 0xe77e8e0f, 0x59f471b5, 0x6429ff76, 0x27698247, 0x027e98f3, 0x0066c1fc, 0x829cede6,
+    0xfc47f564, 0x43d2bd9d, 0xaebd5700, 0xe0b54459, 0xdb97de25, 0x88620103, 0xfa3195b7, 0x84af3294,
+    0x4708fbe6, 0x4270454e, 0xdc7967f0, 0x3a6a7dd2, 0xf59801c6, 0xa0668739, 0x94ecd61f, 0x93753f39,
+    0x15f2b1f4, 0xebc22a5a, 0x88d90c2c, 0x80f59db6, 0xbb12db46, 0x2379d04f, 0x2223a78e, 0x05301f04,
+    0x00000000 }, /* 10**-00000000000000000001817096810739017226373309519720011335884103401718295150703\
+                          72549795159822028349480831547762678440891390190630401566544483383650407153664 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958,
+    0xb724a9bf, 0xbe8c3d31, 0x7ccd7810, 0xb1157062, 0xe0eda0aa, 0x4e297a14, 0xf5e508db, 0xfd4d1ad4,
+    0x00000000,
+    0xc1301f38, 0x5560395b, 0x27a5f909, 0x1a7a8a08, 0x0dd41717, 0x2ff39e7f, 0xc6c04d84, 0x7d53d8c6,
+    0x751ecb2f, 0xea401d8f, 0x3ef65a0b, 0x5e434f56, 0xf0429f8e, 0xcea1ec29, 0x1ab7abde, 0x8f434e27,
+    0x189687b7, 0xc2e40edd, 0x64c9e719, 0xaa66ba56, 0x703dfbae, 0x944e41f1, 0x9686c923, 0xea105bc7,
+    0x6c374499, 0x18bd5054, 0x9e10388d, 0x0a98cc22, 0x9fad6fd5, 0xcc54d698, 0x1d366172, 0x99eda8e1,
+    0x43b5d50e, 0x5105c14e, 0xf911b501, 0xb020334f, 0xdf9809f1, 0x51801718, 0xedcfd7ea, 0x42a28199,
+    0xbf5fcc53, 0x09679f7a, 0x05b99637, 0x71796ca4, 0x48f4caed, 0x4f9f194d, 0xd6b3001f, 0x39049ba0,
+    0x94ad95e5, 0x73cc89f0, 0xa48717ad, 0x96e632d8, 0x76b23a75, 0xefb7d818, 0x5999ba20, 0xe2cd5fd5,
+    0xbfc720e6, 0x3043cb94, 0x69fc4a04, 0x256349c8, 0x8070efb8, 0x462d6d95, 0x5a91f34a, 0xf1ff1ca2,
+    0xd18d3eff, 0x804029e1, 0x29ced5b2, 0xd0130965, 0xb845d17b, 0x7a1f572e, 0xc632bc06, 0x7af06881,
+    0x9fa6d10f, 0x4b32350f, 0xe8abec8c, 0x17a6433c, 0xd85fcb2e, 0xbe8618d8, 0x8dca7c80, 0xbfec525f,
+    0x6fd54124, 0x4d80b8fe, 0x7dbc5d67, 0xb4d4fb6b, 0x5f6e7b8c, 0x80d657d1, 0xfb31f01d, 0x85f81664,
+    0x0d2cb65f, 0x7bb71b69, 0x14533ca3, 0xfcc64ac5, 0xa997e801, 0x03af95b1, 0xb0bbba59, 0x2d24db91,
+    0xa0cdb0b5, 0x1dde644b, 0x6a4bdae5, 0xb9120dbf, 0xd01603b9, 0xc04e6b3f, 0x07664bce, 0x30c90110,
+    0x4d96b0ac, 0xc0759b9c, 0x53c3d68b, 0x8b42014e, 0x7850f658, 0x8243ef7d, 0x3f1ed3f0, 0x7a450e83,
+    0xf76b2dc9, 0x0328068d, 0x5de9820f, 0xa268f80d, 0xe8d6a855, 0x3f661e4e, 0xfd04ac52, 0xcc8f7d21,
+    0xe30e51e3, 0x4eff17b7, 0x3db77bab, 0x33874cc0, 0xb0b7fabc, 0xf994cb62, 0xf6836b6e, 0x7762287a,
+    0x46e90adf, 0x4e932391, 0x84e7ec53, 0xf487b160, 0xdc8076e0, 0xb986e316, 0x56150e6d, 0xd3328ff1,
+    0xd2cec786, 0x0c2bc7c0, 0x5af8d897, 0x6f3c1d9e, 0x20115110, 0xe953a6f4, 0x68224ffd, 0x777e5c7f,
+    0x01e3e6cf, 0xa12b6782, 0x2e075f05, 0x4227b9b3, 0x7a02973d, 0x3710a190, 0x907b6486, 0x8f0e4256,
+    0x2a620b9c, 0x30de3f13, 0x71c236a3, 0x41b7da79, 0xb753464d, 0x6f426096, 0xe9b967bc, 0xcc7d32a5,
+    0x37ee036e, 0x0015658c, 0xcc0ec578, 0x689cece4, 0x27da6ad1, 0x1f54a9b4, 0x45725b2e, 0xe9c08e50,
+    0xbc55dc01, 0x7d90bc0b, 0xf39bafe2, 0x4fe7995d, 0x3ec8c14a, 0x5a315c3b, 0xb722dd51, 0x5f77b107,
+    0x0bfb3d4c, 0x8896da6f, 0xfaaccd01, 0x2a0414db, 0x97301661, 0xc3221b2b, 0x80021cc7, 0xd1691b37,
+    0xde28f675, 0x007d7d39, 0x1f2b2314, 0x330c56a3, 0xb622540d, 0x74ce3b67, 0x5806caf4, 0xf16e4196,
+    0x4a610f00, 0x3751f4b3, 0xf6a6e07b, 0x7631a677, 0x6e8333bd, 0x34774b04, 0xefee0bfa, 0x93583a98,
+    0x2d31fd8f, 0xb8f7b411, 0xe197afe9, 0x3aa88b79, 0xbe7103bc, 0x7c21b42a, 0x01cd50bf, 0x9e2bf635,
+    0x9f012623, 0x286a9496, 0x43bb662c, 0xfa1836a8, 0x17fa263a, 0x38d6889e, 0x65b49fe5, 0xe907a2a3,
+    0x5aaa18fb, 0xb58e30b2, 0x13f80f71, 0xe8054be0, 0x935c93c2, 0x2a2956bc, 0x54b747d4, 0x9d19154d,
+    0x61747166, 0x5f4a234a, 0x8eabdcfd, 0x4aad2e04, 0x8d97204f, 0x70032125, 0xc89dfa6c, 0x7a939f99,
+    0x53957975, 0xee9c8fe7, 0x07eed857, 0xe1e5e239, 0x17af43b6, 0xab2a5dd9, 0xcaaa021b, 0x82c5412c,
+    0x996413f0, 0xf6e14cd9, 0xa384bec6, 0x02d3bcd1, 0x7007da3c, 0x756d63af, 0xde24e8aa, 0x7f504441,
+    0x0862d49f, 0xa0f1eb3f, 0xbee270fc, 0xffb7ebd9, 0x47b68bc4, 0xf816e677, 0x423911d1, 0xbebb0eda,
+    0xbcb3d89b, 0xc71770c4, 0xac3b0c66, 0x1927b023, 0x831f77fd, 0x2dcb1c91, 0x3fdea3da, 0x8727f8c5,
+    0xe10895ea, 0x42f5ac4a, 0x93edd6bf, 0x02228ef3, 0x3ff9f059, 0xda85aedb, 0x0c5bdccb, 0xb0de4e02,
+    0x72f33172, 0x2cb69df0, 0xc61aee00, 0xb3e35e1f, 0x143bacaa, 0x49158c49, 0x85394f25, 0x544a73f7,
+    0xcf7fea03, 0x5a7f7da7, 0x43dbc34c, 0xbe1074f7, 0x359faa83, 0xa001dbb7, 0xfad617f4, 0xd5c788be,
+    0x703ea458, 0xd2b202d6, 0x842e4517, 0x0311e2e1, 0xdb3399f8, 0x1b78d942, 0xb7ff3d22, 0x2fe67eb1,
+    0x6a13bb76, 0x6555946a, 0x58f72132, 0x04b700f1, 0xa0eb0e06, 0xa5328f50, 0x440b0682, 0xe62738f2,
+    0x97f036b2, 0x8b29ce3f, 0xce756595, 0x1e3b1d68, 0x9fd9af45, 0x6e36abe7, 0xe8e622d3, 0x2a6ad982,
+    0x3e90d12c, 0x32c51503, 0xd9ec0112, 0x9a6e6264, 0x67965980, 0x712ae69c, 0xda4f7e44, 0x5113cb8c,
+    0xc7a933c0, 0x4211349d, 0x7452a047, 0x78855633, 0x4057bcbf, 0x7b060b52, 0x99c47b78, 0x19080649,
+    0x3f6e83ed, 0xe9851e39, 0xda8adacd, 0x48c4d23b, 0xb436d5aa, 0x5e6d25b3, 0xe304698e, 0x03d29102,
+    0x53a59d34, 0x3b33e312, 0x72d2b634, 0x323cdee0, 0x7a5fd569, 0xc52ff58c, 0x42e07a5a, 0xb1c37eb3,
+    0x9b83db2b, 0xd999bcbd, 0xa7f0f55f, 0x51f184dc, 0x8daf1d6f, 0xa88ee50f, 0x2b03adc8, 0xc4076829,
+    0xce7af645, 0x66dd9900, 0x8c20ff0b, 0x5ecd2f7b, 0xa5f6f346, 0x9e9161f8, 0x08ba096a, 0xc81b827f,
+    0x5f4aa68a, 0xaa78d001, 0xdf3d1cd7, 0xd0e55bd5, 0xf67f0ff9, 0x4bcd6aba, 0x505e3ccb, 0x3b777494,
+    0xc8460d6c, 0x41aa2fd2, 0xfbeda1bc, 0x70fcbb1b, 0x41ef2101, 0x766474d2, 0xe7609369, 0xdba6424c,
+    0xbff963ee, 0xb3a31e6d, 0x8e94f8ae, 0x0613a5a4, 0x72c3605e, 0x7872b79c, 0xb4502985, 0x31a1e043,
+    0x8178c82a, 0x56a2f9a3, 0x7e4814b9, 0xa1d9d6c7, 0x5cf42053, 0x70520632, 0xf078cac3, 0xe9591183,
+    0xac9b0acf, 0x0f611924, 0x7f82e8a4, 0x9fe5ddf6, 0xb1dec493, 0xa4a15308, 0xcd001cbb, 0xead2f9f6,
+    0xf2aa15c4, 0x4fb3814d, 0x352e19b3, 0x7b312029, 0x6cd47f7e, 0x6f68dd78, 0x0ff37abb, 0x03e8df8b,
+    0xcaa6dbb4, 0xbc57aacc, 0xe099e8dd, 0x55b5a2ed, 0x27e2878f, 0x82703137, 0x3559fc5b, 0xe681f4be,
+    0x0cf44138, 0xb2f8363c, 0x0e9eb83a, 0x761db1e1, 0xdd2d378a, 0xbb169779, 0x078de28a, 0xb0729dad,
+    0xd5ec2149, 0x056fca1c, 0xa17f1800, 0xf2e8fa54, 0xc3b8c4c0, 0x42919db9, 0xe1304435, 0xb63fe841,
+    0x7c4902ed, 0x9b1610e4, 0xca9adbd5, 0xfe7793b7, 0xca0118c5, 0x9d7a7815, 0x8b994857, 0x1cc33fb9,
+    0xc53ca85b, 0x73b09e2d, 0x07ff8c15, 0x6f07abdd, 0x652eeb97, 0x4e4095c6, 0x6561df48, 0x4e1d296a,
+    0x3bb2d637, 0x4c53014f, 0x5900d2cf, 0x6c7cfe59, 0xcbee389f, 0xa72a52de, 0x2e760e58, 0x15d96833,
+    0x738d1332, 0x9c0e9232, 0x6498b564, 0x01194270, 0xe31e7d0e, 0x5be82b98, 0x486a00e9, 0xb160c4b9,
+    0xf9f8d6b7, 0xf69901ed, 0x4fa31e49, 0x42a29d2b, 0xe060a007, 0xb18fa19d, 0xd1100792, 0x9f65f4cb,
+    0x2df207bb, 0x4c939466, 0x396e7ddd, 0x909d7bf1, 0xb7321495, 0xde24788b, 0x56ef1289, 0x9342d38d,
+    0xea4b6099, 0xbab26233, 0x1cf0b0bb, 0xdc344364, 0x18d9d617, 0xe389e36f, 0xf6ad0ac5, 0xc3efdd3f,
+    0xb266c124, 0xc20e4e13, 0x5020ac2f, 0x25c8ad0a, 0x8d3e55a8, 0xb8b80fc2, 0x499f4391, 0x8a397c62,
+    0x934574e6, 0x12565efe, 0x1fdacdce, 0x6d47ab06, 0x8beaf6c0, 0x24f0fc5b, 0x3266d5b1, 0x1e787bbc,
+    0xfeb8aa56, 0xf4fb6018, 0x3a86e5f3, 0xdfa9e272, 0xe72d3a42, 0xa084b738, 0xc5cf76d5, 0xee8ff7fd,
+    0xad8ff8b7, 0x4329f8b3, 0xfdb26bd9, 0x3781933e, 0xecf57e14, 0xa3b08a5c, 0x397d7417, 0xafe24d01,
+    0x9458badb, 0x5bd75e1f, 0xd75ebd57, 0xbcc69df9, 0x56b9a464, 0x1ad0323f, 0x4a8bdf97, 0x4c899dcd,
+    0x755218ca, 0x4653884b, 0x6e93c3e9, 0x649544e4, 0xe3067829, 0x4a5df395, 0x8f143037, 0x17466e85,
+    0x39fb832e, 0x24dde433, 0x77a8f968, 0x1f623ac6, 0xa9b3de8c, 0x5dc18d09, 0x0f79c38c, 0xf02a78d6,
+    0xead5cddd, 0xa1b391eb, 0x510bc7af, 0xd6726b05, 0xbf44bd3e, 0xd9ac5901, 0xaf4c2d9e, 0x666a8b98,
+    0xf341c357, 0x426b887f, 0x576b6017, 0x5991abb5, 0xf784821e, 0xea4a3ad2, 0x58761d5e, 0xf7055731,
+    0xa26aa727, 0x2a2f7896, 0x68074c0e, 0x5f133fb6, 0x135b5872, 0x0e54d5f2, 0x415de2ec, 0xf8346350,
+    0x3be0139a, 0x174cfccd, 0x59105e0a, 0xbf762de2, 0x4bcdc7b6, 0x4e8fe8f8, 0x38fe04db, 0x58a063b8,
+    0xceca1f61, 0x347d3400, 0xc00caafb, 0x57c3cc9e, 0x3d6c1b89, 0xae31afb1, 0x8e215102, 0xfb072010,
+    0x9f6dfe5b, 0x9a080d13, 0xd70721dc, 0x07f0bd4a, 0x784e9d12, 0x3b699801, 0x8113ab8b, 0x5c42c243,
+    0xb8a28b24, 0xcd88dc4a, 0xe9f68c19, 0x7e282890, 0xbc8edecf, 0xdc30c3a9, 0xc0739256, 0xd0594f27,
+    0x5cced130, 0xd59b04f3, 0xdd57b2fe, 0xbb276e5f, 0x151a0902, 0x772dbba2, 0x37a428c2, 0x9f7a93aa,
+    0xce347e72, 0x6c310ad5, 0x64d12181, 0xddb85ddb, 0x9446ac51, 0x61757727, 0xd0d9a093, 0xd8c252b7,
+    0xd1481605, 0x1390982a, 0x8b072d86, 0xcd558df1, 0xc8068261, 0x2fcb9ad1, 0x2d2ff24a, 0x025b690a,
+    0x653ef352, 0x27803dbc, 0x0c7b205b, 0x45c268ce, 0x89ddc116, 0x20bb2100, 0x78edc68c, 0x13bd3afd,
+    0x5121466f, 0x1c09c010, 0x91c357d9, 0x19e204fb, 0x5eb590e2, 0x5df6c7bc, 0x71be0038, 0xc162b1c6,
+    0x96b99515, 0x8baca701, 0xc61eebe5, 0xe74b0dc6, 0x1efa86f1, 0xebed92bf, 0xcf1bd308, 0x36de8cc0,
+    0x2d40ed61, 0x40489200, 0x03722c88, 0x2754d9d4, 0x91e4aca6, 0x1c09a833, 0xf4d4f833, 0xdeb8590d,
+    0xead5f12f, 0x35cacecf, 0x7d168f5d, 0x170e5a6b, 0xeadd36dc, 0x336b398e, 0x66d67b4a, 0xd66aa7d7,
+    0x27651dcb, 0x7057b4e4, 0xa27e96f1, 0xa56dd6d3, 0x21e4ecf9, 0x615cb999, 0xcf78df73, 0x8133a340,
+    0x219f5a6e, 0x4e7ead25, 0xee359d52, 0xf3893472, 0x20b84aab, 0xf93e0edc, 0xa356e533, 0xb3faf5f1,
+    0xd813a51e, 0x34c5b35e, 0x7a6ac9f7, 0xc71b31ec, 0xad6a9118, 0xaa1759e0, 0x17687de9, 0x5b59170b,
+    0x8b48daa8, 0xdb6f370a, 0xbc71262b, 0x589f755e, 0x424dcfb8, 0x001cefd0, 0xe4f02335, 0xb3f10de6,
+    0x4edaa688, 0x1bdde727, 0x7f912d48, 0x91f05440, 0x03bd4335, 0xc51c781e, 0x0afee5b1, 0xfece9936,
+    0x138d5fb2, 0x7e29fc20, 0xa509d25a, 0x65db0034, 0x718d0e54, 0x3963d5d1, 0x3c421c0a, 0x0eabfc2e,
+    0x2b496204, 0x17c4e7d2, 0xf9cbf520, 0x6e7a724a, 0xe44b7556, 0xadab7d4c, 0x04e00279, 0x8e11ee73,
+    0xf182fad4, 0xf2a7e964, 0x764288cc, 0xb0ccef32, 0x10651641, 0xd54e94a3, 0xa38fd86b, 0xcb5e84db,
+    0xd49a3ca2, 0x2ab19ae6, 0x40cd4eaf, 0xb08bb55d, 0x84571094, 0x9862da1c, 0x8b06115d, 0xf05f66d5,
+    0x407844a3, 0xf0fbb953, 0xa302bb14, 0x585a7fad, 0xd3f726de, 0xd085bab0, 0x1aee429a, 0x8075bca8,
+    0xd803066f, 0x2e3f9de7, 0x2fd71beb, 0x67b227d3, 0x7e3e9183, 0xfcc06be1, 0x3ee7503c, 0xf7f36732,
+    0xf60b9015, 0x1077f569, 0x9e517c20, 0xddb12b7d, 0xcaf5a587, 0x187709ea, 0xfe02f36a, 0x42bf91bc,
+    0xf1087819, 0xae5361ae, 0xc9da4b1a, 0x602cfa5d, 0x62d1637a, 0x82e1e550, 0x4cd3b74b, 0x1c50ee09,
+    0x9c8255c0, 0x1e8f6a3b, 0x482cca96, 0xd0aaf4c3, 0x35c5f0fa, 0x022604a6, 0x6dfa132f, 0xea572f53,
+    0xb75ee555, 0x95c358e9, 0x670450c4, 0xd5b5b194, 0x31692266, 0x0c5716e3, 0x13de29c7, 0xef3038cb,
+    0x0c2603ca, 0x08cd6604, 0xef5ecce8, 0x8fddfcc6, 0x4c357406, 0xfd1a559e, 0x9ba20753, 0xff2708ee,
+    0xbdcdf89c, 0x41639686, 0x235eb45f, 0x9d098351, 0x9f8fcf06, 0x5fc2edd0, 0x6c42081f, 0xdb4b44b4,
+    0x9f763541, 0xbcb02e61, 0xcd61476c, 0x68a25f41, 0xb7668117, 0xcdbf4d8f, 0xfc6ed4e5, 0x436da058,
+    0x61257905, 0x2709d659, 0xdfb90c60, 0x386c3c57, 0xf3d933af, 0x345bbc22, 0x96f7525b, 0x1e7b90c6,
+    0x9b3d4adf, 0x929f8720, 0xc28ab168, 0x540e0028, 0x4d811b64, 0x58f7e647, 0x8fd818b9, 0xe185dbc7,
+    0xa3d79fe8, 0x44fd2bcb, 0x00a1a3ac, 0x9682d225, 0xf42a048e, 0x2ba00452, 0xee300d9b, 0xdcfe1271,
+    0x3dd0f7bb, 0xf035e86c, 0x8011f193, 0xa6673ec0, 0x604da967, 0xb4833ea0, 0x2a088c3d, 0x70baed22,
+    0x5ea56b55, 0x4173db84, 0xe3798331, 0x5ac51b27, 0x3b2a097c, 0xb6a9919d, 0xcdddbc89, 0x1002a787,
+    0x0cd288a0, 0xadea54c0, 0x6222a500, 0xbee0ca8c, 0x25dfb630, 0x2962c9d6, 0x7870cf7f, 0xf785a777,
+    0x88c94bc9, 0x401145ea, 0xc6d7aead, 0xadf13502, 0x7813066e, 0xdb69ab21, 0xec2b8417, 0x9d2d6032,
+    0x207f9904, 0xd2190f46, 0xca4fdb05, 0x9ea4ad78, 0x42b63dfd, 0xe1e9a34f, 0x67e3e54a, 0xa3ed5d3a,
+    0xc7f67132, 0x96134121, 0x2763c6a7, 0x647ff03b, 0x9d0ec565, 0x15c23083, 0xfbf6860f, 0xf4697011,
+    0x35bd4b88, 0x728ca23c, 0x743c3c0a, 0x2d17fc2a, 0x368b4e36, 0x41a8f0db, 0x8148096f, 0x925cb4de,
+    0x520ab408, 0xeb347549, 0x1047da78, 0x56f57e5c, 0x27f4f1aa, 0xf4514d13, 0x8370f54b, 0xd58dae1a,
+    0x22a0ce16, 0xdbc44938, 0x129ec541, 0xec2ceda9, 0x6da480c0, 0x96b3b7c0, 0xf75f565f, 0x2da62ed0,
+    0xdff02ff1, 0x6ad27a85, 0x90ebbf72, 0x9042f266, 0x8e80de36, 0xc228ddf3, 0xff3ff314, 0x87fa954b,
+    0xe61e5cb6, 0xf61745f3, 0x0d030c0c, 0x9c53b391, 0x7054898d, 0x704169e1, 0x10fb6aaf, 0xbf232ea6,
+    0x51fda394, 0x8ae3c599, 0x601d43b6, 0x50b9343b, 0x072533ca, 0x3be465a1, 0x1d46ccc2, 0x5752ff2f,
+    0x5c026a59, 0x8178fcdb, 0x72722694, 0xa91646f1, 0xa9db8c7e, 0x72fb9fe8, 0x6f38c7c2, 0x7ad8e562,
+    0x5c662f39, 0x160bad6e, 0x2795a639, 0x188af184, 0x819f4ab1, 0x9619757c, 0xed0adb29, 0x8d9dee87,
+    0x2e5a7195, 0x62de8e6d, 0xeb17a908, 0x0b1c2339, 0xc3b88443, 0x7839b280, 0xb6c706c1, 0xd21b23bb,
+    0x6f132fb0, 0x385eb425, 0x14a4e4c1, 0xc9a72165, 0x665a31d6, 0x57599bdf, 0x9b511513, 0x1dc63a1c,
+    0xdb814ddf, 0xde2b3a1f, 0x611374be, 0x30e3b13d, 0xb32b3870, 0x7f48c3a6, 0x26255658, 0x1a9ce7a7,
+    0xce57ed91, 0x3fefe988, 0xa9cd8dfa, 0x04c0f6ac, 0x91b0eee1, 0x6544de20, 0xbd7b0665, 0x9e80b8ec,
+    0x851984d0, 0xb101ae43, 0x78d40839, 0xd31781d7, 0x15bad588, 0x3868f2fd, 0x720bbe93, 0xe7ad0215,
+    0x48c7c1b4, 0x6264a136, 0x856c46b4, 0x33a350f7, 0x6aeabac6, 0x5505fc5c, 0xf5d8fbf8, 0x260586a8,
+    0x51d5b48d, 0x6d3b3036, 0x7498c229, 0x3f4950b0, 0x077c2b77, 0x84836813, 0xa6698646, 0x1e4b07d5,
+    0x6d375b0e, 0x2729048f, 0x533616ca, 0x8413e730, 0xcf5f8dc8, 0x898843e8, 0xfbd8fa98, 0x0db35ed2,
+    0x00000000 }, /* 10**-00000000000000000000908548405369508613186654759860005667942051700859147575351\
+                          86274897579911014174740415773881339220445695095315200783272241691825203576832 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac,
+    0x5b9254df, 0xdf461e98, 0xbe66bc08, 0x588ab831, 0x7076d055, 0x2714bd0a, 0x7af2846d, 0xfea68d69,
+    0x00000000,
+    0xde6327ad, 0x54da2244, 0x43ba011b, 0x04ee58c4, 0xa2c111c6, 0xc418c132, 0x718a081c, 0x20304f1a,
+    0x38c13971, 0x9c486a50, 0x1dfa1043, 0xc42cbe28, 0xb165ebaa, 0xfcbab1be, 0xcb126856, 0x875f82eb,
+    0x6b0d19e7, 0x8cfaf735, 0x4908609d, 0x6661ed8f, 0xea02eafd, 0xb12e9d59, 0x0686c9f0, 0x704d0f7f,
+    0x3bf67b7f, 0x609a96fc, 0xfefc3201, 0xb2e9be90, 0x5ec245a0, 0x251f30fb, 0xee472981, 0x7355f620,
+    0x3f7f8245, 0x9c1859ff, 0x0ab35418, 0xa9e86ae5, 0xa54da4ed, 0xad451e9c, 0x4ca3db1d, 0x81415e9b,
+    0x46814c1b, 0x4c8fffe5, 0x8f2202da, 0x266bd180, 0x151926c9, 0x41091a53, 0x49d178a0, 0x2b18786c,
+    0xeab12c91, 0x6cfc8eec, 0xb1393245, 0x05411ead, 0xe0c6f67f, 0x56b47dc0, 0x05410261, 0xae6d08e5,
+    0xa639e143, 0x9fd2007f, 0x9ee4c4b1, 0xe6b7dd88, 0x974594aa, 0xefec7c6a, 0x4e5990c2, 0xdf169340,
+    0xcc4fd4ab, 0x72c65ef0, 0xe0c02534, 0x17cc64b5, 0x0c14831c, 0x365434a8, 0xf3391be4, 0xbd392131,
+    0xe1655d3e, 0xbf4dea71, 0x627445dc, 0xf441214d, 0x9fe9f2d5, 0xe3d859cc, 0x55a72e95, 0xe1c5df63,
+    0x54a1ec08, 0xe41953fe, 0xa714db72, 0x5ff3aa22, 0x9b36ea3a, 0x0fabc401, 0xc3eb8599, 0xa42b9e4e,
+    0x42544a64, 0x033ce972, 0x89fbcb7b, 0xb82fe5bc, 0x4b5fe70b, 0xb2ac5cbe, 0xa43035ab, 0xadcae293,
+    0xd5d1826d, 0x0131d2e2, 0x9c56d434, 0x0b5ed901, 0xec1fa193, 0x9efea006, 0xf5173932, 0xc21534a6,
+    0x907b4113, 0xc439bf6b, 0xf60da49b, 0x5844347b, 0x3611e9b1, 0x8f76d8b7, 0x97edb359, 0x68c60f66,
+    0x7fe27eb3, 0xdeb471db, 0xeca51645, 0xfca33afd, 0xb22d29bb, 0x5ea34a01, 0x8aaa311d, 0xd73fc55d,
+    0x55bd5cc4, 0x79582fce, 0x0e033c55, 0x8e790ccc, 0xca23db7f, 0x52c5ae43, 0xe35ed6bf, 0x8a238560,
+    0x08d50b22, 0xb711ef80, 0xad7ab621, 0x7433f1e3, 0x455516d9, 0xaa7ffbb7, 0x378939f1, 0x23a8ccff,
+    0xf7ff1bde, 0x7b6f4ca2, 0x18b9f625, 0xf2e2e9b8, 0xe26dd195, 0xf373ee81, 0xc8afd9e6, 0xd6fbbdf8,
+    0xb09711eb, 0xc58477d0, 0x21fa9ab5, 0xf4a34bee, 0x1f4829bf, 0x2f94e8c8, 0x4debf1ce, 0xb155e52f,
+    0x394b6a1e, 0xcf69dfc8, 0x74093d84, 0x36461431, 0xc0ec4580, 0x531cd39b, 0x648e709f, 0x553304ff,
+    0x25170a4c, 0x8eae5aba, 0xa4184659, 0x874538a2, 0xcf7b98ca, 0xc3814279, 0x5de128b6, 0xcf9c8691,
+    0x3c12e0dd, 0xf47991db, 0x940a5026, 0x24bb716e, 0xb7ab068a, 0xf95f2458, 0x657ec8c2, 0x1b2f4053,
+    0xfb8a62d8, 0x077fcb5d, 0xd8b272d8, 0x6dcb761d, 0x4eefc4c5, 0x7a0636fe, 0xedb34131, 0xa9a95e3a,
+    0x015f0187, 0x6fad6bba, 0xca5ce283, 0xc5cfdc34, 0x34a15a8e, 0xb5b82139, 0x027eca53, 0x05115d89,
+    0xdf6cb555, 0xe6c2938f, 0x698863bc, 0xc8338fcb, 0x24166b8f, 0x6e0088e9, 0xe93bd7f5, 0x35e32143,
+    0xedf17be5, 0xe7e4fc4d, 0x35769e60, 0xa2ac378e, 0x9f34e30a, 0xf610d7de, 0xc175e713, 0xa487a54d,
+    0xba66dfbf, 0x524b87a9, 0xfc45a63a, 0xabc1ae53, 0x09f20189, 0x9b96e0a0, 0x0668b5cf, 0xe45a2a19,
+    0xcefac32e, 0xc3542dee, 0x4f0741b5, 0x68d75b8d, 0x9ba01cde, 0x344aa7f9, 0x17b7e1af, 0xe3f72e2e,
+    0xc042495a, 0x117452a7, 0x6858e47f, 0x4941d35f, 0xb9813bb0, 0x45f89d3d, 0x92d9df36, 0x6b8cea05,
+    0xd3b01341, 0x3d20311d, 0xeab6e896, 0xa33e140c, 0xcae61cdc, 0x758faaaa, 0x0a96a948, 0x6d2886a2,
+    0xdffa4766, 0xd7007c96, 0xc5d671f6, 0x5854dcfd, 0x16dd84af, 0x2acfb602, 0x6674cd4b, 0x6cc80bc9,
+    0xafea6175, 0x8df4d8e8, 0xdf8afa98, 0x0d1183f0, 0xf88064e0, 0x41454a60, 0x10d1849a, 0xcdfd9157,
+    0xa8da7a8d, 0xe5572867, 0x8b1972e2, 0x710db4b6, 0x59144400, 0x7f963245, 0xf37fb277, 0xe1e807c6,
+    0xcdb7818b, 0x8669f371, 0x32cfe544, 0x75f66d10, 0xde06efd8, 0x1c61bdf4, 0x72a06894, 0x03788cde,
+    0xc903fa68, 0xf2640342, 0x71d9eebd, 0xcdb85402, 0xd9f3cfc5, 0xaa3f9458, 0xb1966011, 0x4b7bde91,
+    0xac0e88aa, 0xa4d41925, 0x6b779d6a, 0x1eae0803, 0x5cc483f4, 0xe493cd94, 0xa1ccdf0a, 0x5c7bfff4,
+    0x2743c068, 0x1ce89a18, 0xb8889b54, 0xec7d00f2, 0xd073c593, 0xe779333a, 0x51267a65, 0xb8c36f84,
+    0x15339ffe, 0x77ae5487, 0x262ba787, 0x62ad67d6, 0x3bbbac47, 0xa2cebc9a, 0x833609f2, 0xe9eadbb3,
+    0x8f1bbf2c, 0xf990e94b, 0x7cdf7918, 0x39fabd52, 0x9f9873fc, 0xb1da7040, 0xc5bf6946, 0x0d330fbb,
+    0x1205c7f2, 0x4ac6790d, 0xfc2a4b6f, 0xa1b91202, 0xb72d5309, 0x0997f998, 0x62c10653, 0xf4f54cdb,
+    0x839c5609, 0xac50f875, 0xe2f030d1, 0xb77e19d3, 0xae2967f9, 0x4ec75c52, 0xa4edb1b0, 0x64910b70,
+    0xe83005bd, 0x03855bab, 0xce1e4228, 0xd6d731e0, 0xf4b234d7, 0xfc11db6c, 0x49f9bffc, 0x28738813,
+    0xd7d9a99a, 0xaeb564e4, 0xc110e84c, 0x45278e21, 0x66d42adf, 0x13750fc0, 0x52f0e730, 0xc693bf4c,
+    0x236a0c75, 0x28fa6bae, 0xc7efd441, 0x82485a1d, 0xaaa07303, 0xd2a10f4e, 0x5bcaf88e, 0x35eb1144,
+    0x32f8d4b1, 0x12d23583, 0x547b8bc3, 0xba58ca7c, 0x2c9e431d, 0xd4ef5b78, 0x83f10f87, 0x546d9d63,
+    0xf9f36425, 0xa3a42f7b, 0x07c9c45e, 0x775fb8dd, 0xd7327c99, 0x1f868f09, 0x55776e07, 0x51661b9a,
+    0x6c9b3806, 0x49516d00, 0x8d9a0004, 0x62881e30, 0xbc154785, 0xec5e10af, 0xc79c2aa7, 0xa032099a,
+    0x79e875ae, 0x9d31519d, 0xec67fee0, 0x6bf4f94c, 0xf7158c03, 0x335a5c35, 0xf255d449, 0x5f72ac80,
+    0x8ac75056, 0xdc2b11e6, 0x6f09a268, 0xd53700db, 0x91dc372b, 0xd8d6a13d, 0xb8c365e4, 0x8b6e09e4,
+    0x574010b5, 0xe7f307fc, 0xb8d8d734, 0x115825c4, 0x0b8ae0fe, 0xc67cd34e, 0x32929b65, 0x267b4f0c,
+    0xce4da32d, 0xfc7a028f, 0x2941f4dc, 0x73c3f061, 0x0dc504fd, 0xe722ed53, 0x3f86dbf1, 0x7866286f,
+    0x6ea37b74, 0x2960841a, 0xb494e9b4, 0xc226ce44, 0xf317cb3a, 0xfaecad8e, 0x1a4e2e26, 0x37ee1343,
+    0x52424bc9, 0x747bec72, 0x073f72f6, 0x9125dcda, 0x5876cfd2, 0xf46c6538, 0xc2b780a6, 0x18f8febb,
+    0xaa29ee36, 0x8441b9b1, 0xe042d8f5, 0x223ea947, 0x3f7efbd5, 0xeebf40b6, 0xa07db9e7, 0xf1d7e29e,
+    0x9b4964ef, 0xe873a4a5, 0x7271faee, 0x39f4687c, 0x41e417fc, 0x42a7c115, 0x2e162ad0, 0x9c7bbd68,
+    0x22888b4f, 0x0056e521, 0xf5e45412, 0x9b7411e5, 0x0a50b60e, 0x5b69a92e, 0x3e5eef3d, 0xd3755107,
+    0xc738ee14, 0x948130c9, 0xa1dc210b, 0x29a72c67, 0xf20e9399, 0xabc01087, 0x6eb3c26b, 0x14105c84,
+    0x6ea07f8c, 0xbd62e1a5, 0x1def40f0, 0xbc372e5f, 0x1bce672d, 0x96544925, 0x0d48a83a, 0x472fd07b,
+    0x0f02dbd2, 0x3e8f4cad, 0x041d2e8e, 0xb2ab7c52, 0xbfdeba2d, 0x95ac95d2, 0x7b217959, 0x3cc650fd,
+    0x1467eaad, 0xea2cb691, 0x986b186f, 0x7fc81360, 0xf63108ef, 0x2ad0f6c2, 0xf1c8cf9e, 0xeac062bb,
+    0x62c9ec6c, 0xfb26f1b3, 0x2a07d439, 0xf8539948, 0x5cb40faf, 0x6c6a58f5, 0xca7bdae1, 0xfa7e1ecd,
+    0x02e090f3, 0x38e4a005, 0x4db20a6e, 0xba0bd008, 0xce22565f, 0x5060da9e, 0xb9aa7b3e, 0x1039c51b,
+    0xc77797cd, 0x66d0a5b2, 0xe51fb93e, 0x9e800a22, 0x892f6394, 0x2bebbaf8, 0x1d0b3bff, 0x0611e92e,
+    0xeadaf820, 0x04829906, 0xc3490d04, 0xdce2c8fc, 0x3324064e, 0x41d2388b, 0x3c8e65fb, 0x9f1fa990,
+    0xbe597b68, 0x32c5f640, 0x4b90860e, 0x30a0017c, 0xe8d4eb5e, 0xe00b9699, 0x3c926f2f, 0xd0176546,
+    0xe6e4b091, 0x0296dec9, 0xcd906552, 0x4545815a, 0x8ec9086e, 0xecc373e6, 0x70097c9e, 0x2ef5758d,
+    0xb2abc7b6, 0x6aa94642, 0x119ba5ff, 0x49bc134a, 0x200584f1, 0xf671a7d0, 0x89384809, 0x3b7aa0fa,
+    0x1a8a48d1, 0x9d9a45f6, 0x4747a657, 0xd367b163, 0x59d31e77, 0x5df0fcc8, 0x9bd82e86, 0xe0aebd1a,
+    0xcf88f4f5, 0x0d987f88, 0x0c96b3fc, 0xe59b0b73, 0x1e795368, 0xf54a386a, 0xc52fa205, 0xe69824e6,
+    0x40c9e8b0, 0xe8cead8e, 0x88e53bb2, 0xa9701978, 0x11a424c4, 0xf3cba467, 0x58c0cb2a, 0x6e26cb37,
+    0x6e827c46, 0x08f77cf3, 0x51e23ccb, 0x009d281c, 0x1155a0de, 0xade156f8, 0x81cbf622, 0xa4f45413,
+    0x59ec600d, 0x8844446a, 0xcb3b6f55, 0xe7644600, 0xf4108120, 0x382de331, 0xd866cf8a, 0x83ae689d,
+    0x1eb48a2a, 0x7c25818b, 0x27838430, 0x437ffdd8, 0x3da58c3d, 0x49409af3, 0xd14e212e, 0xdad14bac,
+    0xdf26aff1, 0xcc25d7b5, 0xefb886b6, 0x3c853953, 0x4b0caa1d, 0xdfdc05f0, 0xfbad8625, 0x9cee7908,
+    0x214f9f49, 0x24112b27, 0x8965e399, 0x1cb4c32a, 0x4aa7074d, 0x1562aee5, 0xfa736387, 0x6e27844f,
+    0x4a952c2e, 0x4217f58d, 0xb7138b1e, 0x8548582f, 0xbd896ade, 0xe795d468, 0x8e39c743, 0x89f2e5fe,
+    0x478ece15, 0x681d3bea, 0x7ff3534d, 0x9bc36f2d, 0xd1735c6c, 0x5a017458, 0x0f1de1a1, 0xdb458d78,
+    0xa8564fb1, 0xaf775202, 0xb28b22ed, 0xd0693d5e, 0xdfac7e29, 0x72ef12d0, 0x0effdb5a, 0x566ab1ca,
+    0xc47b732f, 0x808b4124, 0x41be779d, 0x19d5f6a2, 0x630549e6, 0x23ad7c58, 0x2b670e60, 0x98a59188,
+    0xad9a5f78, 0x3d6794e1, 0x742ee1ab, 0x70dc5203, 0xd6b17615, 0x18364537, 0x79e89a70, 0xd11febff,
+    0xcccbb1a4, 0x4abaa48d, 0x22cde670, 0x99142e64, 0x75576173, 0xdb03c67b, 0x73bfe0c1, 0xee927e78,
+    0x3fecbbab, 0x47515bf8, 0xc4f6cc39, 0x04988c33, 0x92f0bfd8, 0xb057f1ad, 0xb01a3123, 0x2e7e911a,
+    0xff472d46, 0x8e7e9957, 0xe85167c0, 0xff7658a5, 0x4163da52, 0x84b0e573, 0xbd3b308d, 0xf33a1f3f,
+    0x8db31620, 0xc726f491, 0xb8303f36, 0x120e8032, 0x8c1028b2, 0xf88b485a, 0x0ae72441, 0x7ff3dc10,
+    0xf15ab043, 0x844fc7bf, 0x3f7957ff, 0x2bf88937, 0xcf375361, 0xebc40560, 0x537218e4, 0xdaa15bc8,
+    0xd2cf5bdf, 0x3e0173a1, 0x523215f5, 0xc8de0bf8, 0x6b07ff8a, 0xa4724981, 0x21bea748, 0x3160b3c3,
+    0xe709f471, 0x96250ba4, 0xebc3c103, 0x1c07f948, 0xfd4c19bf, 0xac08085d, 0x40f07049, 0x54e28aff,
+    0x738cd3ac, 0xa0ea0e5e, 0xfcf872cb, 0x5222c156, 0x75e1b0c5, 0x79c1061b, 0x12b41030, 0x0adff585,
+    0x6f923bdc, 0x16f65238, 0x6154d50b, 0x681a315d, 0xac70d2b8, 0x558a205c, 0x01552c9d, 0x197aa602,
+    0x30a8977e, 0xc67d7a17, 0xd5d2a4ce, 0xde91a770, 0x27b58ef6, 0xb696856c, 0xf05e17ce, 0xc83e9a06,
+    0x21a6088d, 0xa9a0e45b, 0xe31655dd, 0x5ceac76e, 0xe525e8e3, 0xd9f9311b, 0x510e4415, 0x8e3d714b,
+    0xc17d8602, 0x24cf4a34, 0x7c80c077, 0x1e782682, 0xfd1ab8a9, 0xd3155410, 0xd9669151, 0x8626b258,
+    0x70b4934e, 0x44f8fb3c, 0xb53f9fd1, 0xd4d401bb, 0x8c367304, 0x17ac8487, 0xa820f0c8, 0x6954a825,
+    0x81b520e2, 0x8455966c, 0x8bb4f605, 0x5350aaa7, 0xf3c922b6, 0x411e6c12, 0x1635187f, 0xf9d61642,
+    0x3f627544, 0x3da2aa73, 0xf5e167ee, 0x71587f3c, 0x73f679f3, 0xbb0716d3, 0xbe16807d, 0x64d42269,
+    0xc6af3577, 0xf2f40857, 0x3549cbc2, 0xa04d432c, 0x85cd9401, 0x0352b382, 0x4bbe1840, 0xfab1f510,
+    0x40afb1bd, 0x15b98102, 0x849e2355, 0x9f6f3afe, 0x37f0fa57, 0x0ee6e577, 0xf1a233b8, 0xdaf76598,
+    0x81edd5c9, 0xb05988be, 0x0b9fcdba, 0x69c9d004, 0x2ba4ee7f, 0xb76d6874, 0x81f78e2f, 0xdd24a557,
+    0x320dedb4, 0x778be489, 0xe66281ec, 0xbe3d2439, 0x5812e4aa, 0x6e14358d, 0xe33d9fbe, 0x80020ec9,
+    0xb8ef9956, 0x01f69216, 0x6a66db40, 0x53bd1b64, 0x9dd9b695, 0xf9469a0a, 0x26626fd5, 0xfed7fe48,
+    0x52e49ce9, 0xe72de52b, 0x4dac0426, 0x453d2ad0, 0xe74e6645, 0x71c7015a, 0xfdfed677, 0x3978004a,
+    0xacc9a607, 0x3b1a3b5c, 0x29a628d4, 0x29ec07eb, 0xc7161ee1, 0xea20d09a, 0xc9a8443a, 0xa246b661,
+    0x56afb329, 0x7a362b71, 0x7987a947, 0xd2f6b5a9, 0x9069f847, 0x39156319, 0xce166374, 0x54f43367,
+    0xfc6f88fc, 0x908c6556, 0x185b7d22, 0x89254b3b, 0x637353c8, 0x9847ec52, 0x529bbd1e, 0x94b19e88,
+    0x5e5d5da6, 0xd2de4564, 0x883a8b39, 0xbf9e9196, 0xea0f1d52, 0xe9c283af, 0x1c2d58ef, 0xaa0da946,
+    0x4a7c1704, 0x09b9f59c, 0xc7d84fba, 0xd1cb5803, 0x5bfde3e0, 0xfb69fa1a, 0x3f911ef3, 0x01049e4c,
+    0xc7d748a9, 0xd2c28735, 0x54f2eabf, 0xfa1f526e, 0xa22dd12a, 0xcdc35e27, 0x82ee07dc, 0xfe23a170,
+    0xf011509c, 0x3da22fec, 0x67797165, 0x3194e31d, 0x6e9090d6, 0x2f0c15ac, 0xffba45a8, 0x70c3b2f7,
+    0x4c489f48, 0x1d21fadd, 0xbd096766, 0x3d1ea0b5, 0x354ea9df, 0xddc9f4e1, 0x2a56aa31, 0xff19252c,
+    0x46d960a5, 0x758290d5, 0x87ecdec9, 0x8a54a4e3, 0x08434ab0, 0xcbc8c8b3, 0xd29b8470, 0xced0f68e,
+    0x8359bcb1, 0x58d70c3c, 0x4e3fc009, 0x4307c54f, 0x7c1c548b, 0xec3c781b, 0x4bf71ddd, 0xdd66cb17,
+    0xbbca57df, 0x2aa3be80, 0x8f5511e9, 0x0ddf063d, 0xafc74761, 0x95e141fe, 0x2727e2f1, 0x5cc810f7,
+    0x4c5bef71, 0x95ae2231, 0xf10e8c9d, 0x95908e9d, 0xd5e77e2c, 0x50480762, 0x17bf91d6, 0xd17230ea,
+    0xea2a6dc6, 0xf74ef4f5, 0xb3e8c1c3, 0xb4e97920, 0x88df2930, 0x7807c214, 0xf3273083, 0x03483dc7,
+    0xc341c6f2, 0x3f2ea3d1, 0x0853043f, 0xedc2bbf7, 0x0e2ba052, 0x79e2e6b5, 0x5749aa70, 0x9de91262,
+    0xe54565ad, 0x932059be, 0x79b73999, 0x3ed477e2, 0x46298f6f, 0xc36a8d8e, 0xdb3c913c, 0x840cf502,
+    0x9ba117a9, 0xf95e20a9, 0x53594504, 0x9730c624, 0xc43344a1, 0xfcdf43e4, 0xa3a23801, 0x22b31735,
+    0x12ff0f46, 0x0645ab41, 0x909ede67, 0xc639a051, 0x318b82de, 0x7b78db47, 0x0365ae5c, 0x856c0fe0,
+    0xec701744, 0x0a6a1563, 0x62413ae5, 0xba549d19, 0x2d39545b, 0x7221f939, 0xd8159943, 0x5aa0b1e2,
+    0x03d205ca, 0x104a879c, 0xcdc89b3c, 0xff6b7a87, 0x6a0e8b10, 0x435627d4, 0xe2334ae4, 0xfb6de479,
+    0x9e943478, 0xda44e428, 0xd01470d7, 0x98f7ddd7, 0x54cc30f2, 0x30a88ea7, 0xd2ee999b, 0x1f29478f,
+    0x99dd04b5, 0xe4dd59ea, 0xa4727a1b, 0x36a1350d, 0x74030b53, 0xe58f39ce, 0x8e0804f1, 0x1105c8dc,
+    0x5975d007, 0xd2f98d3f, 0x9cce4c6c, 0x295108de, 0xeb119d82, 0x10e89c24, 0x495099d1, 0xd48f5d1a,
+    0xd56c2d1a, 0x1f9fa189, 0xfaa61dbb, 0xb8519377, 0xa945c151, 0x9c966e07, 0x7462a404, 0x66d98e5a,
+    0x9ab8323a, 0xfcec3d1a, 0x7d4938ca, 0xe0955d8a, 0x166247bf, 0x96ad9137, 0x5d01e855, 0xf5e19956,
+    0x8df788d1, 0xe32f98c5, 0xf2c3dfa7, 0xd2a62030, 0x4c7b1069, 0xc30bda3b, 0xb3382205, 0x286cf059,
+    0x00000000 }, /* 10**-00000000000000000000454274202684754306593327379930002833971025850429573787675\
+                          93137448789955507087370207886940669610222847547657600391636120845912601788416 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56,
+    0x2dc92a6f, 0xefa30f4c, 0x5f335e04, 0x2c455c18, 0xb83b682a, 0x938a5e85, 0x3d794236, 0xff5346b4,
+    0x00000000,
+    0xa8b7aab7, 0xbb5a6b8e, 0x62559307, 0x0c0c1be9, 0xa52bb8d9, 0xf6a411c6, 0x2d86af5f, 0x5d9b9eba,
+    0xfdfd525c, 0xbbca8f64, 0xb99b230c, 0x6d81e4d0, 0x2d8707ac, 0xb8384a21, 0x2710b123, 0x23e46bd7,
+    0x0e98c71f, 0x5ce8f64a, 0xf8a1382f, 0x9ac4c6dc, 0x3f2e8ac2, 0x30f6e379, 0x815b3e52, 0x7bc1f2f4,
+    0x1a2f3d07, 0x10ea2679, 0x4aac4523, 0x9f9c6c06, 0x2cc48244, 0x5e5d100e, 0xa5c13e6d, 0x99368e46,
+    0x8999c51d, 0xd8cb09c4, 0x70505b71, 0x2c61abdf, 0xaee737db, 0x0913885a, 0x72dfe6bf, 0xeaa34e9d,
+    0xea9c244b, 0x13bf5e16, 0xc7107e08, 0xc6abc029, 0x31b57356, 0xd2c7b28f, 0x733b52f6, 0x8bd5e546,
+    0xb83a1e56, 0x76db2473, 0xa744c8aa, 0x2ce18589, 0xa11bee95, 0xb54baa44, 0x64831c10, 0x66d8f3ea,
+    0xffca9465, 0x1ceca8b4, 0x8ac3f955, 0xe39e9c28, 0x2c58c4b8, 0x7f224732, 0x9a987aba, 0x945c8de2,
+    0x92c9ce98, 0xa46eb290, 0x1c5c8b85, 0x786e3b29, 0x0f474c0b, 0x5c4bf75f, 0x81f635b0, 0x7ee634d3,
+    0x8719abde, 0x48e21322, 0xdb3beca6, 0x70c1205c, 0x01c6d2a7, 0xa1939aea, 0x16a5771d, 0x49c02d6b,
+    0x66670866, 0xd3d76759, 0x7eaae298, 0x629e58ed, 0xa600c33b, 0x83890cfc, 0x46e7cbf5, 0x312349c3,
+    0xbae3592b, 0xbbaa8992, 0xe372057a, 0x835d8223, 0x5645e0d1, 0xbb61a12c, 0x5a2c6897, 0x9e8cd65a,
+    0x661e27c1, 0x28f07db1, 0x845b4229, 0xd3d2d7ba, 0xb8cfd34e, 0xe1954c18, 0xb478f292, 0xe3c93038,
+    0x90137f8a, 0x55677780, 0xdb94d29d, 0xfa8f9bfb, 0x1110f8c3, 0x50be91ea, 0x1354a207, 0xd1041cce,
+    0xd5eb7925, 0xe8cd88f5, 0xf3e06a6e, 0x82065e61, 0x6d8b1d5e, 0x051b8e09, 0x31d7ed18, 0x80382f09,
+    0x2ef545a2, 0x446e6e32, 0xd49eccd7, 0x5f35710a, 0x3f133d68, 0x0635808e, 0xccae49bc, 0x62aaf2a0,
+    0x32721b67, 0x6bd063d2, 0x4dafe5b7, 0xff857e03, 0x45584c36, 0x87d6d4db, 0x9967cefb, 0x487e25d7,
+    0xb4330a47, 0x2b4610cc, 0x4b299ca4, 0x090f57c2, 0x21bb465c, 0x97294d3e, 0xcde63de9, 0x180e2e88,
+    0x7c543b1f, 0x9d845902, 0x0bbcf8c4, 0x8f6c61f3, 0x4329ef13, 0xfd00e6ea, 0x88ecef55, 0x3faafdc6,
+    0x9119493e, 0xd0cbc985, 0x043207d9, 0xa8292ffe, 0x03acb5b4, 0x1f38137e, 0x64bd261f, 0x2e26c640,
+    0x48301d33, 0x7f1218bf, 0x4524ae14, 0x07193c5b, 0x8eddd1e3, 0xe5b1c533, 0x37976f69, 0x13c04874,
+    0x66a5f379, 0xffced77f, 0xa90c730c, 0xea521c7a, 0xe976904e, 0x6b9af09a, 0x49dec84e, 0xa61fe682,
+    0x9c68e398, 0xa2ff6f85, 0x27fd1362, 0xb86b5b36, 0x0fc6db24, 0xaa1cac4f, 0x89948011, 0xc7181ee0,
+    0x2e63f912, 0x0e15f662, 0x43f3aa66, 0xd5823baa, 0x0ac757ee, 0xd694035c, 0x0ee7333d, 0xd3c6109a,
+    0x81fbabdb, 0xd7e05dea, 0x1a3cd8aa, 0x88e41569, 0xbfcf590b, 0xc342443b, 0x531f78bd, 0xd4ce6596,
+    0xb3fcb120, 0xcdca2652, 0xce13f50c, 0xcaad049e, 0x80da19f7, 0x6cb27655, 0x372c1b8f, 0x71b04a46,
+    0x62da4847, 0x4c0b5be6, 0xccd78248, 0x1c271eea, 0x79b66273, 0xa5f0c0ea, 0xb045d644, 0x62fb567d,
+    0x85c9c08b, 0xbccbda67, 0xfb3a94c0, 0x37a1841e, 0x9f200d48, 0x8340530b, 0xa8500df6, 0x8f244e55,
+    0xd57dc29b, 0xc589ef71, 0x9c38540a, 0xdd95146e, 0xcbce7b49, 0x29a49c14, 0x43ecbe20, 0x89cf986e,
+    0x8c962daa, 0x95fd445e, 0xe32d41a1, 0x1cb88650, 0x46cccd2c, 0x7b093ee8, 0x15381845, 0x3e9e3d44,
+    0xa17581ef, 0x23348976, 0xb0682b52, 0xe975e145, 0x427ea1ee, 0x06dd0a10, 0x2059be56, 0x5534c3c3,
+    0xb82e1155, 0xb3b08fa6, 0x0690bde7, 0xc7deb2eb, 0xfbdebaa8, 0xe17c25fa, 0xd2cf6195, 0x370529ac,
+    0xdd02256b, 0xde75d1e2, 0xeafe0909, 0xabb47320, 0x3afedd23, 0xa518c936, 0xa648cc8c, 0x8e5078b0,
+    0x3aaa9c80, 0x7f93390c, 0x9f6ef7b5, 0x98bc2835, 0x417dcbad, 0x69f6734b, 0x60599de3, 0xd0ef8679,
+    0x211bd9a5, 0x0f39724b, 0x5fdc6805, 0x80bcae94, 0x805eccfb, 0xf53a1151, 0x02266c13, 0x97906172,
+    0x85656737, 0x84b9b642, 0x16355ffe, 0x62dbddac, 0x120d0189, 0x96c2c3ba, 0xe303499b, 0xf022b1a9,
+    0x12ac6b27, 0x6a675ca0, 0x9b972bab, 0x650cfe66, 0x5b439795, 0xdd6f8a0d, 0xf028b52e, 0x66f0ce54,
+    0x117c482e, 0x49cfd490, 0x6f710c97, 0x36455aef, 0xc8f24533, 0x6bccb366, 0xa22683f5, 0x586e903b,
+    0x3f3fee82, 0x232db511, 0x0c26532e, 0xf73e0c3b, 0xc6399e9c, 0xe42f44e2, 0x7e498b94, 0x99621710,
+    0x48400c15, 0xfa7dcd53, 0xa6b49c26, 0xac622ba8, 0x58af48dd, 0x78bce732, 0x93181dac, 0x649167a3,
+    0xe4096f09, 0xa3e52609, 0xafa98c45, 0xc7948fa6, 0x48afddea, 0x43fc828c, 0xaf26c426, 0xfb0fbc34,
+    0xa3f3cf6e, 0x9c1707ce, 0x7880f5dd, 0x2dcf134b, 0x7d4ca991, 0x0b3250a7, 0x173e45fe, 0xcf8fdf12,
+    0x2f46f860, 0xa9ff73bc, 0x666713b7, 0x2c48578b, 0x83c0b880, 0x4216f245, 0x4bd62d2b, 0x2100a731,
+    0x5b75e76d, 0xe8d82b16, 0xf2652368, 0x4d17e1c3, 0xf425c34d, 0x3c0f3090, 0xda1abbd1, 0x8b84704c,
+    0xa79ddb17, 0x86f2cd3e, 0xd8004800, 0x56bbb293, 0x02bfb47a, 0xeb2cdbeb, 0x86a5169e, 0xfa3505e3,
+    0xecefc7fe, 0x02207e45, 0x705734b9, 0x73475cfc, 0x13f173c6, 0xbe1b4e76, 0x5e9cd23c, 0x0a6b5ad8,
+    0x1bc40a06, 0x8d55c728, 0x549f1ce8, 0xcf41519e, 0x244678cf, 0xd36829fc, 0x22bf3261, 0xf4edc33e,
+    0xe0fdf728, 0x3fc00ed4, 0x952cba8b, 0xac4652e7, 0xeb99dc6e, 0x2c1d41f5, 0x78ec9b3a, 0xa689095d,
+    0x9d7b58f7, 0x1809d2d3, 0x59501817, 0x93f53ae7, 0x0e07d295, 0x4afcc0d3, 0x1ed31418, 0x3bfc1f90,
+    0xfbb73861, 0xf2ca2b6a, 0x24db15c5, 0x905d1961, 0x8bcd119a, 0x04702535, 0x42d766ac, 0xba18c38b,
+    0x55c8ef76, 0xd81f6957, 0x1ae4341f, 0xa7150c43, 0x68226150, 0x6cec562f, 0xe0d6ef98, 0xc2f543cd,
+    0x3359da6f, 0x5fae97dd, 0xb8551e0b, 0x911250ee, 0xe0aaa2ec, 0xcaf7bfa3, 0x00303e0b, 0x4255413d,
+    0x86097f2e, 0x05d83e5f, 0x7e1fc011, 0x777255e3, 0xab2680cd, 0x5d4e0d58, 0x8d8eb42e, 0xe56a1864,
+    0xf4b909b0, 0x1adfd2a1, 0x3cf876a5, 0x81bb8d7e, 0x1b4a98fd, 0x6579dbb4, 0xe56ef7fd, 0xd725e671,
+    0x169a192a, 0xead6cd3b, 0xf4ebd287, 0x3eb8159e, 0xbaa1a026, 0xb68f7ca0, 0x0121bb20, 0x26074281,
+    0x6fb5657e, 0x4fa1d0e0, 0x77684f6c, 0x036e7b18, 0x01566ae0, 0xdee0abdf, 0xede7a68e, 0x17f9c858,
+    0xa52c8e52, 0x39f5f468, 0x877c37bf, 0xd7e83ea0, 0xe686892c, 0x25b2af3d, 0x44f7c258, 0xb04cd24c,
+    0xacfbce04, 0xdbd77b5b, 0xe57ca6dc, 0xd838b740, 0x92817c3d, 0xea906313, 0xa435d6a7, 0x5e46497d,
+    0x2b8ec923, 0x9ac9bf23, 0xb35a210f, 0x85cac7a8, 0x8cea9720, 0x7f04c9c9, 0xd2c48002, 0x4c213c50,
+    0x3ab68f10, 0x5937c58f, 0x24ec62d6, 0xeabfb81b, 0x9fb46e9d, 0x0965785c, 0x8d04401f, 0xda5d8c39,
+    0x48525864, 0x2986ea14, 0xe0727768, 0xf34f4a6a, 0xffad560a, 0xa7308f55, 0x13fb92cf, 0xd46336e9,
+    0xd3d86760, 0x12173ef8, 0x70bd87c3, 0xef650287, 0x6693ce38, 0xa4bef0c1, 0x80f282ed, 0xdd13f7d2,
+    0xfa2006c1, 0x398f01f8, 0xd08912c5, 0x3bede97c, 0x2aea87c2, 0xa968b060, 0xf03a3640, 0x9de5e2c9,
+    0x07058bbd, 0x217af58b, 0x28aef4e7, 0x964e73f4, 0xd3dcd85a, 0xd3f91d25, 0x52143ff0, 0x13fa9c55,
+    0xc86213cd, 0x1bc3d052, 0x1329cb07, 0x1ea0884a, 0x554f2b7a, 0xd7bff94d, 0x326b32c6, 0x2a741d1f,
+    0x7b117d4d, 0x17e6f1f7, 0x92f99558, 0xad65803b, 0x8ed86d4b, 0xdc85e34f, 0x24ce847d, 0xb35dc2ca,
+    0x3b86d08f, 0x7c73e11c, 0xae56c1cf, 0x76a676d0, 0x9f66c7b5, 0xbbb9f4e4, 0x6b193ddc, 0x2b8d6474,
+    0xf1d43f05, 0x2bfc5f75, 0x2cca404c, 0x58b85abf, 0x46189a3e, 0xc1282215, 0xdf0f3b76, 0x9da74551,
+    0x71399e3f, 0x1960a4f1, 0x0b9f6ee9, 0xf68c43d5, 0x3d87f68a, 0x32c0f7da, 0x507342bf, 0x7b7264f2,
+    0xcacc128b, 0x4cc83c31, 0xbd1b28a1, 0xb5030036, 0x284795d0, 0x4b862011, 0xd4b36190, 0x24aee611,
+    0xd444989b, 0x88cc939d, 0x40716f56, 0x8602dd72, 0x5c92b84c, 0x80c8f306, 0x01b5394b, 0x8ae6fcf5,
+    0x6e96b9e2, 0x24a98f5b, 0xdbbf22ce, 0x0db1480f, 0x06f42d6c, 0xea0277e7, 0x236de5c7, 0x2d7a6280,
+    0x76674d54, 0xa9158233, 0x15540594, 0x4307abfc, 0x7964cf2d, 0x25d2da33, 0x78efa5de, 0xe0144109,
+    0x7498642d, 0xdbb2f669, 0xd0b80e11, 0x8851dfa6, 0x49115276, 0xa05d03ab, 0x52574870, 0x4f3f9bd3,
+    0x0635acfc, 0xc49b2746, 0x6d44e1b5, 0xc220a9f2, 0x89be468f, 0x73d01fe9, 0x6a099553, 0xb927d81d,
+    0x41afe572, 0xc1ea1265, 0xaf6742c8, 0xfadc2b41, 0x167f441e, 0x3962e5ca, 0x84b66d59, 0x273a66d1,
+    0xe8bdea37, 0x077cc2c6, 0x6be94237, 0xef273db1, 0x46b271c6, 0xc2d67898, 0x0a9783c1, 0xf45937dd,
+    0x2194c127, 0xfa1b48a1, 0x4e5aabf7, 0xd00fc19c, 0xb1b0d4d9, 0xa533e0e5, 0xb4fbc633, 0x43102131,
+    0x8b54f087, 0x0f9f49dc, 0xb203fb1d, 0x60e67418, 0x05aeca73, 0xbb56ba8b, 0x9cd39a66, 0xa8d427da,
+    0x0f693e99, 0x67925821, 0x80aae1d6, 0x9408f636, 0xd6c2b797, 0x0dac4587, 0x3288f986, 0x079d9872,
+    0x33152cd2, 0x5974ba80, 0x3ef0d58c, 0xb9737968, 0x5d24df95, 0x3061b18d, 0xe2d416ac, 0x1339e86a,
+    0x6f4afd00, 0x100c6db7, 0x1d2ef2d9, 0xacea7753, 0xb8bbe3c1, 0x21d22429, 0x6a2bfb93, 0x3773f888,
+    0x6b92853c, 0x9dadf372, 0x547682f5, 0xa0ab68af, 0xe257b509, 0x7c5c9975, 0x68211150, 0x0f7ab01b,
+    0x0e47d008, 0x1e238b55, 0xd3b83f7b, 0xd1a155d2, 0x8284b203, 0xeba8a123, 0x53296937, 0x36b571ca,
+    0xbd60173e, 0x801977c8, 0x30ab3120, 0xdbee701f, 0x79dcd3d6, 0xfdc0f20a, 0xe6ef9e20, 0x825ea227,
+    0x06e7bd36, 0x52a8a3ad, 0xbc0aa732, 0xacec7a0a, 0xd0763940, 0x7d4d8b5c, 0xfced8d43, 0x8ba71ba3,
+    0xe54f1587, 0xd9f5b395, 0xb14d53a6, 0x55ad7248, 0x52815ea6, 0x5e36a909, 0x2a10f8f2, 0x74484b66,
+    0xae4088e1, 0x29b1915f, 0xf775efff, 0x8305c5f7, 0xc76ee1f9, 0x0e11d1d9, 0xb9ea6d7d, 0xad0b462e,
+    0x62929b05, 0xbb0a60f9, 0x22f88636, 0xcbd00778, 0xe5b4a7cf, 0xbed227bc, 0xfbbf158f, 0x74facb0c,
+    0x2418d032, 0xe7eb1d4a, 0x9499e298, 0xbea974a3, 0xb0b9313e, 0x92ef46b7, 0x0091686c, 0x40b31ae3,
+    0x496d7c88, 0x872c1930, 0xd3229d0a, 0xa3ef93ee, 0x7ce6c2b3, 0x8e9d9ea6, 0x7381ad1b, 0x331f5234,
+    0xabf4f52e, 0xc5723238, 0xdeff0236, 0xf169bfb2, 0x895ae683, 0x6d281ddc, 0x82d56964, 0x0f7ea541,
+    0xe0ee57ab, 0x9c51e439, 0x0f528e9f, 0x4c9829b6, 0xa8474ad7, 0x2a2720ca, 0x05128c7a, 0xad073616,
+    0x89d58c36, 0xa08f93f8, 0xaf1e3077, 0x431b9f9c, 0x8b9b9e26, 0x9c27c37d, 0xe7e7a5e4, 0x0c9e9c2b,
+    0x1be7ee90, 0x544d3fbe, 0x4c64e2c0, 0xef0dc060, 0xbedaee57, 0x98480449, 0xa2b79f63, 0x6dfd1788,
+    0xf8b8aaa5, 0xf6edc181, 0xa9fe8e6d, 0x41c7ce5d, 0xa97b3936, 0x7103757f, 0x77c9bfb3, 0x0fc29ba0,
+    0x0d7dd931, 0x9a961ef8, 0xa8027321, 0x061db2ec, 0x03f4fcf5, 0x7050aef5, 0x7ed07c5d, 0x0521f826,
+    0x98532fce, 0xeec6f4c5, 0x3924082e, 0x22762b06, 0x4d5a7e70, 0x6aa6289e, 0x7292711f, 0x87eee0a5,
+    0x785df6bf, 0x44f9f004, 0x91347fb0, 0xedaced1c, 0xe4a5180e, 0x39257f0c, 0x5e435e0d, 0xaa1f142f,
+    0xa511f843, 0x7939e660, 0x16cb7e1c, 0x889e8bd6, 0x2355feec, 0x1c0ae10f, 0xb034085e, 0x1f702d46,
+    0x6232ca2b, 0xf6129822, 0x1e808d71, 0xecedd1c7, 0x9f69f0d7, 0xca3a6124, 0x1c6c3356, 0x22ecd16d,
+    0x87c3f070, 0x02bc6cb2, 0x6c67f862, 0xf6dbb1ad, 0x9dacfb0f, 0x82963cc4, 0xedc92ec5, 0x3b4e61d7,
+    0x5828a2ee, 0x0b7feb53, 0x1ae5d07c, 0xf8099398, 0x11da9015, 0xb69dd378, 0xf4bec26c, 0x59f55c14,
+    0x69cf7c15, 0x1a8b7e90, 0x2f121e7d, 0xb561ed21, 0xb2196eda, 0x14523262, 0xf0973832, 0xef46d10c,
+    0x3aa0b5c4, 0x30c8e30f, 0xd84f1430, 0x59d907c2, 0xc33e03bb, 0x3ea6506e, 0x37c7bb9e, 0xf0154dd5,
+    0x2eac01c7, 0x1e42bde2, 0x63aa84b8, 0x6ea208bf, 0x0bb4840f, 0xc06865b5, 0x5ffccfa1, 0x0940a9c5,
+    0x777068df, 0xd2b5ef07, 0x5480e448, 0x33c5060c, 0x9a8de8e7, 0x5d8b9a34, 0x533089fa, 0x489825ce,
+    0x8623d5fc, 0x3630c60e, 0xead0524d, 0x461f18b1, 0x5a1d0e4d, 0xbdd27de6, 0x0058d03c, 0x8645244b,
+    0xb8591a92, 0x4468b0b4, 0xf9a217c8, 0x8d9a4d01, 0xc0c1dbd5, 0x15e897f0, 0x400a4ef8, 0x2fc375fa,
+    0x790ab8df, 0xa6aef0fe, 0xe41de2f4, 0xe5c7a129, 0xaa41b631, 0xaf7f465f, 0x69a5896c, 0x53644396,
+    0x377a312d, 0x956d77d4, 0x8f116a8c, 0xe7d40c00, 0x47fc79b4, 0x51d2c340, 0x885d3f6f, 0x9eb18cba,
+    0x26eafd9d, 0xc7854da7, 0x06f200aa, 0xd699ecd3, 0x6d09674b, 0x0c3794e7, 0x5db70ea8, 0x427997da,
+    0xd1edff3f, 0xf7d3086c, 0x94f7563e, 0xcb60f669, 0x69a48b5a, 0x2a3b505a, 0x96077975, 0xd45ce023,
+    0x22b32120, 0xf1f4f766, 0x2ec7f3f7, 0x75398f01, 0xf941a082, 0x4d8aca6f, 0xc4ad03d6, 0xae5aa762,
+    0x3139aa92, 0x9292160f, 0x188a9ced, 0xfb95004b, 0x6b45ef45, 0xaea6302f, 0x2d2ffda4, 0x480d0700,
+    0x3d767f65, 0x81833d8d, 0xf81fddc2, 0x31b266cb, 0x2e75efa4, 0xcb596019, 0x4751bd51, 0xe504431c,
+    0x5d43133e, 0x1a5a348d, 0x4289dbfe, 0x501277f5, 0x6c6458ed, 0x14e94914, 0xec6ce048, 0x27a326c7,
+    0x451c52e5, 0xa7dd5700, 0xaa6e5088, 0xe40d6d32, 0x5fd736e5, 0xc5094037, 0x397250cc, 0x045824b2,
+    0x69d6ad70, 0x40177ffc, 0xf47ab15e, 0x26b43f01, 0x99a3ab87, 0xf34d7163, 0x8c58148d, 0x78ca4e82,
+    0x336361dc, 0x9e97414a, 0x5d5d014f, 0xb30586fe, 0xa19f3fe5, 0x8033e20e, 0xb960e64c, 0x37a79cd2,
+    0x25454cc9, 0xe0b647a1, 0x3309af5d, 0xa60fd866, 0x46ce9220, 0x43313365, 0x08edac84, 0x5acbaf59,
+    0x2c00d2aa, 0x83ce2a5e, 0xc1eba48f, 0x74b5ea93, 0x82072dff, 0xb8b62c29, 0xa43202dd, 0x5dd43e6c,
+    0xb9ccdd5a, 0x4b95530c, 0xdf4169d7, 0xbff40e9d, 0x7e53cdc0, 0x493c4644, 0x9e1f4495, 0xab8581dc,
+    0x8b6b94a1, 0xe698c6c5, 0x1d521687, 0x9a350686, 0x437a1074, 0x7b239ef5, 0x2a0c1ca6, 0xc16ebfda,
+    0x36ed5870, 0x192268aa, 0x86f1e0ab, 0x98f92d1e, 0xee8d4989, 0xa75d628f, 0xf4294a48, 0x2fdd1c34,
+    0xc612b848, 0xb3b5b146, 0x609cf0af, 0xa7890bb2, 0xfd6ecac8, 0xf432a505, 0x08adc099, 0x8cd7bbc2,
+    0x00000000 }, /* 10**-00000000000000000000227137101342377153296663689965001416985512925214786893837\
+                          96568724394977753543685103943470334805111423773828800195818060422956300894208 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b,
+    0x16e49537, 0xf7d187a6, 0x2f99af02, 0x1622ae0c, 0x5c1db415, 0x49c52f42, 0x9ebca11b, 0x7fa9a359,
+    0x00000000,
+    0xcfd377fb, 0x80f2711f, 0x2aeddcdc, 0x64e003f7, 0x224de032, 0x0632b7fd, 0x4c5b0861, 0x56635d3c,
+    0x3c30b018, 0xadaa106a, 0xe29ef109, 0xe30e0a47, 0x611ed676, 0xe870c593, 0xe9418039, 0xdb1f49a9,
+    0x928eaa01, 0x3bd4b34f, 0x5c3c3916, 0x6f7b0da8, 0x6f954043, 0xa3429179, 0x0dadaf07, 0x0172cad8,
+    0x05877f7b, 0xec1f34f9, 0x0336a7f3, 0xc2675557, 0x9600b838, 0x9f7edb35, 0x70d047fe, 0xa0e26a2d,
+    0x99f58968, 0x8144e0d2, 0x5e5cba5c, 0x981f3507, 0x847569ec, 0xd102271b, 0x3245ac63, 0xfc933d3f,
+    0x95fae489, 0x379dd545, 0x5d0c4e42, 0xdb5e8a61, 0x7442bc91, 0x7a5f7eb3, 0x0109c0c2, 0x4ba7b416,
+    0xc772723d, 0xf97e54b3, 0x0393c8bd, 0xcc4f96ea, 0x94cbc43b, 0x4a301e8e, 0x1086e10f, 0x59df6144,
+    0x2b72fa33, 0x58d7d0a9, 0xaaa3efc5, 0xa433d1ba, 0x5eb44d82, 0x9c1a83d1, 0x8a501edf, 0xc666a33f,
+    0xab5e5efa, 0xb15832eb, 0x54d7ff8a, 0x16ded577, 0xe7bf171e, 0xc4257ec2, 0xfda1ba0c, 0xfa4e876d,
+    0x0ca9d1dd, 0xc7402064, 0xf499a69a, 0x5084c1a9, 0x5615e380, 0x5477a810, 0x81dbce38, 0x9a886c44,
+    0x67a4f263, 0xfdbf1b76, 0x96fef19b, 0xad656c25, 0x4ec7b24b, 0xa2d7fa81, 0x5383bc58, 0x71ecc634,
+    0xdae9f290, 0x127bd95a, 0xc8204134, 0x19b15653, 0xc8eea246, 0xe0300385, 0x6d80bbbf, 0xf2014c41,
+    0xd2ed2310, 0xdebaa0f5, 0x680b6282, 0x3c1061fe, 0x6d53cf92, 0x612ef68e, 0xb78fa155, 0xa841e9bd,
+    0xb098d2e9, 0xb612c543, 0x576d3c54, 0x36cda34e, 0xee71d11a, 0xb1ed3223, 0xbaf59f12, 0xf0d338b1,
+    0xa5ad3d83, 0xb4d57704, 0x188e9d20, 0x83439a88, 0x3344324d, 0xd01ab6f9, 0x003de4f4, 0x8d25c999,
+    0x893aed7a, 0x1f695dd8, 0x9201c43f, 0xbd3262e9, 0x40e565a8, 0x2341203f, 0x32e4ef65, 0x677e73ef,
+    0xe0611c4c, 0xe2bd0757, 0xfe0d6305, 0x1608b508, 0xfbd344cb, 0x0c1eb250, 0xf2d29007, 0xd2927ed9,
+    0xaf56aed9, 0x339fda63, 0x16e818b1, 0x7c467c94, 0xec77a15a, 0xe463e15c, 0x3631c1ef, 0xaeadbfc3,
+    0x632755f8, 0x1c7ad956, 0x50b94e85, 0x0f12c002, 0x550c7211, 0x553ee81f, 0x6bd28d9d, 0x2378abfb,
+    0x16d0e255, 0x24f3ff02, 0xfba9524a, 0x2ec3384d, 0x3f0fc9af, 0x52beaf53, 0xfd314a2a, 0x7a479b02,
+    0xcf00f965, 0xe6a17ce4, 0xdb2570b8, 0x9474dfc6, 0x5d495272, 0x2bbe7db5, 0xaa392178, 0x72f69ff4,
+    0x24a617bc, 0xcb1686f0, 0x6fd57627, 0xf761f7a8, 0xcb3dc17b, 0x2a219714, 0xdaa1b28c, 0x655975f2,
+    0x8a172b59, 0xaca80931, 0xdf0cbb7b, 0xc1640e74, 0x235290dd, 0x9422da26, 0xe21b323d, 0x20bf4bae,
+    0x67d04ee7, 0xc94b7503, 0x143daec8, 0x638f3971, 0x787b3734, 0x321ad734, 0x8f01733d, 0xf39552ed,
+    0x1b3035b4, 0x39bd3716, 0xb1e48463, 0x6c4c1465, 0x56df7fcf, 0x0418b027, 0x39ab0a40, 0x726e385a,
+    0xb3f08760, 0x41e41b0f, 0x734710ec, 0xf205db94, 0xb8eb00c2, 0x01ca526f, 0xdf92663c, 0x83da4d82,
+    0xb8fa3f1e, 0x518dd66f, 0x4383c102, 0x83424c5b, 0x0ff51c87, 0x35085c99, 0x20563981, 0x69083b09,
+    0xa3374342, 0xe3ca5331, 0x97bbf7bb, 0xb32281b2, 0x047fa854, 0xa0fa1680, 0x8f4781c1, 0x649c9643,
+    0xdaf24a40, 0xaa1c095e, 0xb868679a, 0x969fec63, 0xe85749d4, 0x85aabc58, 0xa42fc2a0, 0x90229a09,
+    0x0b921a33, 0x80da1bd5, 0xf99d1c33, 0x4145accb, 0x3bd36e84, 0xcdf6038d, 0x522ba3d3, 0xdbd70e5a,
+    0x944b682f, 0xbc3a4ff6, 0xf3cd2b5d, 0x4dab2d64, 0x599cf699, 0x5eab64c5, 0xde19a8f2, 0xfc96003e,
+    0x7d959aef, 0x531c4996, 0x427ec369, 0x6d1de1bc, 0x9f576f28, 0xbcb6ec7d, 0x88717355, 0x77328d8f,
+    0x46bdbab6, 0xea1d9722, 0xc4ad4c4c, 0xc235edf7, 0xca6b8a24, 0xdd14ddcf, 0x88bf2d49, 0x0ce3ebc7,
+    0x5e2ef051, 0xc9fdb926, 0xa3a221f2, 0x985aad49, 0x7f2de4fe, 0xd1125531, 0x425c9b12, 0xe9cdd0b6,
+    0xf895c419, 0x06561ab6, 0xcd21d379, 0x35854113, 0xa4792341, 0xf0a9a4d7, 0xe9ee2e89, 0x11ea2b01,
+    0xc9a1f64e, 0xf39c8d76, 0xc823219b, 0xf0430b27, 0x77ca8530, 0x3b474794, 0x518afebb, 0xb7be62b4,
+    0x163be452, 0x5159e0ed, 0xeade5356, 0x6c1f97aa, 0xf4d8350d, 0xb4f78328, 0x6b2fbfb0, 0x54b1cd58,
+    0xb993aa2f, 0x448b8850, 0x83e9ad7a, 0x30284b22, 0x3549c0b8, 0x46da5443, 0xb8ca9cdc, 0xccacefef,
+    0x02c5e2af, 0x9688869b, 0xacc1dc49, 0x0c8f5a55, 0xa39a1779, 0xa64a5673, 0xef2e01e2, 0x9a2e35d5,
+    0x01d2a0b6, 0x28d8a889, 0xe3289502, 0x7c581263, 0x21c5212f, 0x6f650d19, 0x595e59c9, 0x6c7b1e75,
+    0x2f7532bf, 0x949af244, 0xc59a63f3, 0xb5921a8d, 0xfb20f9a2, 0x6e0f113a, 0xf65dc0ec, 0x45e5ed96,
+    0xcd993d70, 0xb7280afc, 0x36b3a2f1, 0xdada128d, 0x873049ed, 0xddde9b90, 0x2e67b8bb, 0x9622d955,
+    0x1fbaa4d5, 0x759657da, 0xd8b749db, 0xe1b0f2a8, 0xa78bce54, 0xd5eddf4b, 0x6fe97b7d, 0x36d2b8b9,
+    0xf6a983ba, 0x676c62c7, 0xbb2aa4a1, 0xef32a0e3, 0x552a4efb, 0xdb799a67, 0x7bf328eb, 0x52b591bb,
+    0xf9ec7628, 0x149795ba, 0x68e0d0a1, 0x87e3d6f0, 0xa337177b, 0x07e711ae, 0x2e80c2ae, 0x6110711e,
+    0x1fd62966, 0x49782906, 0x9dfecd74, 0x80259a3f, 0x753bfa3b, 0x801104c3, 0x5fe5df97, 0xf68214dd,
+    0x3e19e7bc, 0x10d26bf3, 0xcfe9e5c6, 0xccab98d9, 0xcdf98b21, 0x8d15b693, 0x963ee4a6, 0xdffa5969,
+    0xcd08ea15, 0x7ca4db91, 0xe7f0c96a, 0x83c684de, 0x0faf0f0b, 0x0fead645, 0x35e81d1e, 0x5171b87a,
+    0xdeb566ab, 0xe431e1c5, 0x4913a6bd, 0x128372a5, 0x25f171f8, 0x21dedbb5, 0xd30a37df, 0xce620cf5,
+    0xe29267da, 0xc2185bf9, 0xa2066a50, 0x7a1b13b3, 0x5321b665, 0x61ae7999, 0x72f63a3d, 0xeea7a548,
+    0xce3c838c, 0x617ef5f0, 0xb4875b46, 0x30bfdaa6, 0x0088762a, 0xd391670f, 0xdf9dcf9e, 0x84d12672,
+    0x26216deb, 0x5b142819, 0xda48384a, 0x632f5885, 0x46e54b44, 0x566e47a8, 0x2a58a682, 0x31335ee2,
+    0x3ced2527, 0x9164164b, 0xb78617a9, 0xa5a5462d, 0x1b55fcd7, 0x6112800e, 0x5ec6b3be, 0xd2a8512c,
+    0x8bd31477, 0x93be1ae1, 0xc24e6103, 0x21318d44, 0x1cd3b0ea, 0x1d04aeff, 0xc31866e3, 0x4af656d2,
+    0x273ec423, 0x50d6bd7b, 0x4573281d, 0xdc5bb1f6, 0xd913de14, 0x79fd8e0d, 0x1ad2c10b, 0xfd6a6c2c,
+    0x9da593f0, 0xcfd5fd58, 0x0b9c29b4, 0xb8e916aa, 0xb09a22c1, 0xf0f99fe4, 0xc6dc4c4d, 0x175ce3d6,
+    0xa0cb1193, 0x515c268f, 0xaadefcf9, 0xe67aee9c, 0x019337bb, 0x5e638d6f, 0x4b86b02d, 0x45103d32,
+    0xc99b903f, 0xd2113a68, 0x6e562b18, 0xdc2a5a1a, 0x140f83ad, 0x711475fa, 0x0e78bb74, 0x4adf88bd,
+    0x8ecd8233, 0xa773d3db, 0x72653646, 0x3748ed1b, 0x38337266, 0xff15b6f7, 0x651b4ccf, 0xced50464,
+    0x3aa07779, 0xf212b4fd, 0xf0067f1b, 0x7238c250, 0xa40f6b04, 0x9d1133d6, 0x448a2e3d, 0xcbf57532,
+    0x5ca65b70, 0x1a30a833, 0x731082f8, 0x06295cc9, 0x73a44606, 0xb3c3834d, 0xcf1b98f6, 0x4bbff8e4,
+    0xabbd9916, 0x29e706d0, 0xc6d416cd, 0x05239753, 0xbe3089ae, 0xf2f78c63, 0xa5ba4923, 0x15c48e01,
+    0xb7b55a06, 0x7ec3a5ff, 0x2d5d2681, 0xd98a747a, 0x140318b7, 0xed20a1be, 0x2af8848b, 0x4ac5467c,
+    0x9daa9584, 0x04ef90c2, 0x9ba3dff9, 0xc9e1ef2a, 0xada1b4bd, 0xb7ea25ba, 0xe0e09f6b, 0x346f183b,
+    0x6d465774, 0x92877fc6, 0xb8e92d1e, 0xacad00b1, 0x70b63726, 0x82e12afe, 0x0d9d7aa3, 0xf711f05b,
+    0xd627ec38, 0x4bef3b4e, 0x33cce822, 0xf08a805f, 0x08af296b, 0x4b48afaf, 0xf01d8df1, 0x9c1234f7,
+    0xf88e1aa5, 0xf5a4c321, 0xb10454bb, 0x5f019680, 0x22c780eb, 0x4696205a, 0x40409944, 0xbe507809,
+    0xe6dfccfb, 0x0399d135, 0x7251b68a, 0x325d99dd, 0xf2989c1f, 0x33ec1068, 0x5eee45f9, 0x33812ec6,
+    0x4f6a94f5, 0x02b46e5b, 0xff50a9aa, 0xd6cef959, 0x14bf634c, 0x779f59da, 0xa6619653, 0xe956b01d,
+    0x82781490, 0x4a01265d, 0x8bed8f7f, 0x6107cd3f, 0x9aa00c4b, 0xb5411e45, 0xb23cb5b9, 0xee3d8fb8,
+    0x85ec791a, 0xc9c8c9a8, 0xc5b15d10, 0x245213e8, 0x53906e5d, 0x257f32da, 0x4f04a505, 0x98d65dea,
+    0xbc3cda87, 0xd4f05ff8, 0xf183991d, 0xfd1a0650, 0x8ebff1fc, 0x93787830, 0xca6d650c, 0xc10afb71,
+    0x9e22c746, 0xad8b2f7b, 0xd803112a, 0x48d9ccf1, 0x1c70841a, 0x2ee81d53, 0x9c44d498, 0xb1b4c6b5,
+    0x9af09eb1, 0x36e19fce, 0x2f000195, 0x28167125, 0xf4cf2a8d, 0xf977ebeb, 0xa4486ae9, 0xb8c9b62b,
+    0x47a2eb26, 0xc5dc3e79, 0x86f06937, 0x3a1b7229, 0xbeb23247, 0x7ef3ea69, 0xba962f5d, 0xcb476b45,
+    0x269523dd, 0x83916551, 0x3d892c3b, 0x288ad1ef, 0xff4f231a, 0xe6fc533b, 0x04603b08, 0xe4439a60,
+    0x84bfe0bc, 0x87095183, 0xb6f05edc, 0xe2ca6600, 0x388312a8, 0x1cc08914, 0x6f652d99, 0xace5b4e7,
+    0x6c9e879f, 0x1206dbde, 0xf16523e0, 0x0a5166f9, 0xa1646514, 0x80d24949, 0xf26ed86b, 0x108192c9,
+    0x288912f7, 0xa8afa1e1, 0x91a000b0, 0x67437fe1, 0x198a66dd, 0xed28b169, 0x322ab815, 0xb4130d01,
+    0xb427204b, 0xa105ca5d, 0x3b0b4a18, 0xc767bb6a, 0x9fbcbdf9, 0x808af530, 0x41dbebf7, 0xc8fc5252,
+    0x969b2741, 0xf89cd13e, 0x5adc7c0f, 0xe46e2a53, 0x2e12d7ba, 0x3fb8767e, 0x8c0a5032, 0x855822ea,
+    0x32804b21, 0xb29b2532, 0xb6d3653d, 0xd893df4e, 0xcee9aa73, 0xceac7950, 0x63241b5e, 0x8186befc,
+    0x5fae7176, 0x8e06f175, 0xc84921c6, 0x7b4418fc, 0x4054da4c, 0x12f1b19b, 0x4701f47a, 0xc456388c,
+    0x6e62d7bf, 0x1452e46c, 0xc89cfe83, 0xb9c992c2, 0xce776323, 0xaaae3d78, 0xe2ee6bf6, 0x2097eabb,
+    0xee552f41, 0x48344ce9, 0x1bfafac8, 0xd646933f, 0xddf39aa6, 0x0858bf3b, 0x90904672, 0x4ea1b1e4,
+    0xd0021f87, 0xb8bbbb5f, 0x87dd9f30, 0x97651d90, 0x2698ea69, 0x3c12e9b1, 0x11162b35, 0x09f5880c,
+    0x4b4c325a, 0xfe798435, 0x9bdb47b0, 0x52ef2944, 0x2e87943e, 0x42ce0124, 0x6ed9b87a, 0x8a30e798,
+    0xf9b0df85, 0xfc348774, 0x86e3d2e1, 0x1231ba0d, 0x80aeebdc, 0x13e42337, 0x6cd4a74f, 0x74c81f37,
+    0x8268a2eb, 0xc3cc9527, 0xbdb2c8e7, 0x0d56c359, 0x12b787dc, 0x39157fc6, 0x1f1f8723, 0xef2c41c8,
+    0x3dbc06c6, 0xd0b5bf8c, 0xc3eee4af, 0xe6b4a3aa, 0xf71ef424, 0x96949de4, 0xf465abed, 0x0a5cf3c7,
+    0xcbec1f4e, 0xdc649b90, 0x1fa7450c, 0x6e86e70c, 0xfde1f16c, 0x48cbef34, 0x8b6986bb, 0x53dd35ac,
+    0x466210a8, 0xdd9ff7d6, 0x52e4654a, 0xafb5074b, 0xb51e3e0b, 0x7567dc65, 0x4b6ffd8b, 0x37695601,
+    0x3efa6453, 0xcb9131d7, 0xa5efde62, 0x80277ce6, 0x21c3d106, 0xa53755bc, 0xc5c1d316, 0xf7549a15,
+    0x8307fcd5, 0xfc6562f3, 0xa3bba997, 0xa9e26e45, 0xafd1508c, 0x7a8115b1, 0x20640f27, 0xc9aa62c9,
+    0x31a5e86b, 0x1399a255, 0x3c090e99, 0xf4e7274c, 0x7f438592, 0x944fba29, 0x2ec8ec16, 0x91964f08,
+    0xf22a28ba, 0x517c1b7a, 0xa62edbd1, 0x938076ac, 0x05e4bd2d, 0x286d2ebb, 0xb0016226, 0xc4250daf,
+    0x8ce459fd, 0xb7349f67, 0xf5510781, 0x6b6ff924, 0xd4632473, 0x604a6f19, 0x60f62401, 0xf843049e,
+    0xa418f1ca, 0xbb7bac37, 0x412d0317, 0x3f600198, 0x3a42caa2, 0x2e68eb7c, 0xe994f8a3, 0xca294fac,
+    0x810d77e3, 0xb083fe8b, 0x3b2ab275, 0xdfdb075f, 0x4e65fe71, 0x5dd34ec7, 0xb41c352f, 0xfb774dc8,
+    0x7763d2bb, 0x220f4241, 0xb92e30c6, 0xb122b119, 0xdadacde6, 0x975c4aae, 0x89c20734, 0xd9d3abbf,
+    0x8ea1625d, 0xcd91d69f, 0x831dffff, 0x9be5bd91, 0xf165432a, 0xfc59799e, 0x55b3fb4e, 0x05595a3d,
+    0xf5f11601, 0xfe5d058f, 0xa9cc3339, 0x05215455, 0x5eb92ce7, 0x2128a86f, 0xe99104b6, 0x0d070913,
+    0x403011d1, 0xe629f149, 0x1fa61086, 0x021ed822, 0xf889bcf0, 0x11cc5232, 0x0b80766a, 0x22768e6e,
+    0xdd6c3054, 0xd42f06c3, 0x775dd0f9, 0x2d6cf584, 0xf57a18d4, 0x68b4743b, 0x86513dc0, 0xb6a890ca,
+    0xd7290c64, 0x21db403e, 0xb8aa54c6, 0x747a1e35, 0x4fb23bc9, 0xe7250ae0, 0xa9ce4562, 0x3e862eaf,
+    0x63fbf16b, 0x9d8d621d, 0x85e96a2c, 0x1b20545c, 0x2f70f4e0, 0xac2faac0, 0xa00e70a6, 0x02967e9a,
+    0x1c57dfac, 0x644b47c9, 0xa8ef4381, 0x6c955520, 0xf7b37e20, 0xbe2f3aa6, 0xe3a60532, 0x5e49f1f9,
+    0xff5b2ad0, 0xc4a95f46, 0xb0764fff, 0x4ecccdfb, 0x6af3ab2f, 0x0636b8fe, 0x29d01441, 0x4ecebde6,
+    0x511f20f3, 0xb1ce24cd, 0x2feda362, 0x4f56bf19, 0x38eb59d3, 0x2a524eaa, 0x3862a1a5, 0x17ad1a54,
+    0x96ab7c2f, 0x3055439b, 0x6f5284cc, 0xd4916493, 0xbb861243, 0x02541036, 0x0d585751, 0x026e817c,
+    0x9af9bb60, 0x959aac97, 0x0de60806, 0x9a7be970, 0xe921634e, 0x68122d54, 0x0408da27, 0x4c41bb83,
+    0xd45653c6, 0x812153ec, 0x1748ae4d, 0xd5cf2eed, 0x63c832e9, 0x5b870dbe, 0x4d5d7728, 0x34a1e0ec,
+    0xd8968208, 0x14350031, 0xc16baa77, 0x9796230c, 0x26d67b85, 0xb06b9ac3, 0x851e0e88, 0xfb622f91,
+    0x688b6ce3, 0xc8378c0c, 0xb1b2570f, 0xeaf6d16f, 0xebf422a6, 0x3d117d3f, 0xd0afe5a6, 0x5560b4d2,
+    0xb450486b, 0xfd52beea, 0x86d3f926, 0x7e6066a7, 0x7ef613b7, 0xf1709c7b, 0x9adfb70e, 0x93683026,
+    0x07cbf716, 0x183058d9, 0x19899577, 0x5c5f2630, 0xa6dc5f9f, 0x596ab78b, 0x51debb3c, 0xf7481784,
+    0x86a225cd, 0x6a09791e, 0x33956799, 0xed89685a, 0x3ed35753, 0x6e2ba189, 0x1ae3b2d0, 0xdd2be25e,
+    0x7fb3d933, 0x743d0b1a, 0x73f458c0, 0x43cc067b, 0xebbe6ba4, 0x67c539ac, 0xe5ac86c0, 0xb6e85b87,
+    0xecec7a0d, 0x0b1b4ef2, 0xfa863fcc, 0xc8913c48, 0xa7582cdb, 0x10c8eefd, 0x6d24440e, 0x312e9c83,
+    0x66711e3a, 0xcfd59ab9, 0x4693dd01, 0x4d486762, 0xd079a998, 0xf2ccc512, 0xe6e306dd, 0x72aa18f1,
+    0xcf2f850f, 0xc19e201a, 0x0a003ee0, 0xef228718, 0x2a9bf4ba, 0x3a0f0d18, 0x192f7fe2, 0x006e2d46,
+    0xd7b713a8, 0xf76a3f81, 0x86cdccdc, 0x0e00a140, 0xbfad8b11, 0x94307181, 0x2ea98454, 0x5304ae61,
+    0x3e76c4b6, 0x0935e2ad, 0xc3e31e45, 0xffb23771, 0xd8e3365e, 0x54920042, 0xbd01cd91, 0xa4912914,
+    0x85267775, 0x9bf46615, 0x5e1497a8, 0x0d5e9f94, 0xc2ab6e58, 0xc08958a6, 0xe45c91c1, 0x8bd0d909,
+    0x5b7abe50, 0x054cd4cf, 0x7da3416b, 0x2aa95b97, 0x2ef63839, 0xedf4f264, 0x07f50586, 0x36e0d725,
+    0x0c2539a8, 0xe017aed2, 0x03a56e1f, 0x15c61470, 0x9c30b1ca, 0x1ecf07be, 0xedc760e8, 0x3781745e,
+    0x00000000 }, /* 10**-00000000000000000000113568550671188576648331844982500708492756462607393446918\
+                          98284362197488876771842551971735167402555711886914400097909030211478150447104 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295,
+    0x8b724a9b, 0xfbe8c3d3, 0x17ccd781, 0x0b115706, 0x2e0eda0a, 0xa4e297a1, 0x4f5e508d, 0xbfd4d1ac,
+    0x00000000,
+    0xa319b294, 0xb86c6811, 0xdcb38c01, 0xd4ec7dd8, 0xe91a499e, 0x8a9aba91, 0xc31d207b, 0xc1355f73,
+    0x773ba861, 0x02c0f8a8, 0x4325c1c6, 0x91e149df, 0x2f70b41c, 0x5dbaf31d, 0x63749657, 0x139f5700,
+    0x6b646db7, 0xf735204d, 0x21168efc, 0x11d89103, 0xbf281d4a, 0x2598fe32, 0x9e017b38, 0x0a889e9a,
+    0xc8e2c692, 0x3a95c8c5, 0xb10e640d, 0x78302979, 0xc255402c, 0x089ca1d1, 0xed57b357, 0x92960fbb,
+    0x8802326b, 0x952ff083, 0xdb3030c6, 0x0936f842, 0xf0a9ec23, 0x871bafce, 0xa91e75ba, 0x5ac9a0e8,
+    0xc62525fb, 0x2e17df24, 0xed28941f, 0x83410bff, 0x03c9fede, 0xeb4eb3f1, 0x6902d667, 0xbfec882a,
+    0x33a84281, 0x17a3f33c, 0xc8179839, 0x3080f4ff, 0x45071c09, 0x3cfa4511, 0x67b7e8a2, 0x043700c9,
+    0x8da8ca2d, 0x72f6096c, 0x4711a707, 0xc93c130f, 0x193a82a9, 0x553227fa, 0xf8c19789, 0xda618563,
+    0xa3d944be, 0x936ec4c2, 0xdb559e5a, 0xd2692c33, 0xf7455724, 0x67c2100c, 0x21e39bf8, 0x829a483a,
+    0xa6c2625d, 0xf03bb275, 0x0e8630bc, 0xf2727b95, 0x2b835bc1, 0x79f150ab, 0xe7f30a11, 0x49257e93,
+    0x277c775f, 0x641c4c74, 0xeca90992, 0x584df90e, 0x21dcd358, 0xf23b13ce, 0xa210b981, 0x2b7ffbc4,
+    0xde87f5a0, 0x97e1a17a, 0xdc9ebe4e, 0x2af5eb25, 0x1b4865e4, 0x5aae028b, 0xf761058f, 0xe4cb07a4,
+    0xf305e585, 0x2c6539c6, 0x339fdb33, 0xd000ffad, 0xbe041767, 0x9c6acd4c, 0xeba4e531, 0x7c842edb,
+    0x595d718b, 0xb751069a, 0xd31af6f8, 0x3d3fa82c, 0x5ac2cec5, 0xedc1ef92, 0x237fb60b, 0x0bde5f0a,
+    0x7d830da6, 0x9666ff63, 0x41efa2a7, 0xc3620377, 0x15038581, 0xe8aad733, 0x5f6eae76, 0xc40809c3,
+    0xd9cb1ce1, 0x51620e64, 0xe0cb3f0c, 0xa149e273, 0xcd28a51e, 0xec8ed4d9, 0x7d7d5080, 0x87e1eef1,
+    0x62c5326c, 0x39057975, 0xbfbb10c8, 0x974f26e8, 0xc17e2f3b, 0x170a3a6c, 0xcb59b266, 0xf1137166,
+    0xd62d9204, 0x2188073d, 0x44867300, 0x2de37737, 0xe43b8659, 0xd13c8621, 0x16f7a2a8, 0x461c52cb,
+    0xe6d2c682, 0x620df1c0, 0x5ce66760, 0x92190fd4, 0xad549091, 0x496f594d, 0xd1b7c6f7, 0xab245444,
+    0x7e60409b, 0xa5cb30b0, 0xe3dbdf14, 0x83389e6d, 0x0c1a790e, 0x0e99e276, 0x42c1cff1, 0xbc5c195e,
+    0xe1ed8d25, 0xb2a90b38, 0x7e571338, 0x5baf7b67, 0x885716ed, 0xb0ffeaae, 0xd2320117, 0xa7f23657,
+    0x4309bd5a, 0xed469eea, 0xd73bf3d1, 0x9f0e6579, 0xf6bc404e, 0xaa0a3cc1, 0x2a98f126, 0x789234db,
+    0x01e9b116, 0xa1ec6bc6, 0xad79fdec, 0x5f4b773d, 0xe1660813, 0x74c37e2d, 0x73b610b8, 0xafb3ee01,
+    0xb640c454, 0xc79dec1d, 0x25b8c835, 0x2d7598b6, 0x4dee306b, 0xf1be22d1, 0x8d7a7888, 0xcffd9509,
+    0xa51d949a, 0x8ea24ad0, 0xddf6fb67, 0x5dae1e60, 0x1bd28863, 0xe55efbf6, 0xd463a81b, 0x94eb77f4,
+    0x18b64f07, 0x574899ab, 0x254abfc1, 0x1608b3fc, 0xa1330346, 0x64b9aa82, 0x513dd0c3, 0x38c63c87,
+    0xbe9ea202, 0xb8727567, 0x8ea4fd3f, 0x364f05a5, 0xbfd5ec36, 0x2e1c2717, 0xd785ec5b, 0x3fdfd001,
+    0x77dffd9e, 0x56ff26ad, 0x05ad6986, 0x2a17a220, 0xe42ec464, 0x9acd2a33, 0xb8b33117, 0x0b4d234e,
+    0x32fa0973, 0x654cf8eb, 0xc75b08d6, 0xc24b4e00, 0x90ada057, 0xa7d44beb, 0x5b1e6e64, 0xd1ea3ee4,
+    0x4aebc712, 0x7bcd075d, 0xfd8ba5ba, 0x0ea414f6, 0x3f7a5cef, 0x26115440, 0xc504f1e3, 0xc3d6078a,
+    0xa603b717, 0x03f1aca3, 0x9ed97d30, 0x0f0ee18f, 0xf957ef2e, 0x65536bf5, 0x78ee2a03, 0x667fa0e4,
+    0xd97e8c12, 0x31082bed, 0x4b34d9db, 0x1e323528, 0x4ab9fd9d, 0x89c74553, 0x9ce4f6c9, 0x1499f872,
+    0x7e6bd253, 0x49a543ad, 0x33f97e94, 0xdec18f85, 0x4a31b251, 0xd370c18c, 0xb0dd3763, 0x70b35da7,
+    0xdf371b95, 0xe0d843f4, 0xdc6c8a05, 0x5f5a23e8, 0xc9a6406c, 0xdafbb767, 0xb6310128, 0xb83da01d,
+    0x30551a80, 0x54fff13d, 0xb0540540, 0x4b6705d9, 0x22af2ceb, 0x45e21e53, 0x860399b5, 0xb69d9fc3,
+    0x8b8cfcae, 0x84e756fa, 0xe5971075, 0x69c734ad, 0xfae95ecc, 0x279d34f6, 0x736998eb, 0x8519b965,
+    0x1d6eadd8, 0xfd5a436b, 0xf93453c8, 0xc9676e5d, 0x759678f5, 0x60aea8b4, 0x1347076c, 0x1131c733,
+    0x892f3c5a, 0x61af65e1, 0x8445b43d, 0x73a4f193, 0xf2808c6d, 0x938f1764, 0x03309509, 0xdfc2443f,
+    0xcc51d59f, 0x63a50370, 0x5acd0a6c, 0x6bbaf32a, 0xd7cb0b3d, 0xf2803fd7, 0xfaec2e8d, 0xed168456,
+    0x534411ed, 0x40f414c3, 0xf23caed6, 0xa6080e93, 0x4c7c3a48, 0xb6e19d63, 0x9722aaee, 0x6ccf71b1,
+    0x5514ea05, 0x31eaccdb, 0x736a75b6, 0x13894d12, 0x394bfb8b, 0x43b79e92, 0x30d614a4, 0xd084ef18,
+    0xe0f79a7f, 0x8d283884, 0xcfbe8182, 0x7d74856c, 0xa1793ca0, 0xbfae9d3e, 0x078f6a77, 0x2e45e381,
+    0x690d7702, 0x873d8e64, 0x8a11e3b3, 0x0c41a4d8, 0xcd01e52d, 0xc66c47a9, 0x4d7011d0, 0xa8e3b385,
+    0xb7748aaa, 0xfb435cdf, 0x53b2d941, 0x33b0c927, 0x75ca3a84, 0x600122e4, 0x819b4680, 0x24b15b46,
+    0x54242731, 0x93071e8a, 0x5e08aacb, 0x05bad9e9, 0x7d559504, 0x06ce565e, 0xdbe45f77, 0x75cb0da1,
+    0xdc12941e, 0x63c06326, 0x1a33cf58, 0x97ec4205, 0xa9cc27ea, 0xf987c727, 0x0b2513f9, 0x1f612fd8,
+    0x1b776ee6, 0x200f095e, 0x8ff4b9fd, 0xed88f365, 0x9e1c241b, 0x06b98edc, 0xd0bbe00e, 0xf73d5d84,
+    0x74b164f6, 0xf7af94d8, 0x4db1836b, 0xf025e72b, 0x3194a1fc, 0x057c8e1b, 0xc09a7cc1, 0x24d3420d,
+    0x86213136, 0x74da6ff2, 0xeabaf0f0, 0x398f35f0, 0xfbd84fed, 0xec154018, 0x727388cd, 0x4c10d209,
+    0xec614e4f, 0xaf39645e, 0xc82211c7, 0x1333d360, 0x74d6651c, 0x4489e89d, 0x17f2100e, 0x28be6830,
+    0x9fc56d2d, 0xa4d30eec, 0x3340e7d5, 0x7023a2f6, 0x84e33774, 0xc45597a3, 0x2f12b401, 0x0bcbbf8d,
+    0x945cb4fa, 0xbc9a7c3a, 0x599438b5, 0x70f43970, 0x8e0bdf07, 0x33c3c6b4, 0x49bca5d2, 0x9c0660c6,
+    0xcdd56858, 0xbdc830c5, 0x21cc64f2, 0xb5778697, 0x53bb6b37, 0x2c1bbf7c, 0x95020cf0, 0x214f2199,
+    0xba363018, 0x684e65fa, 0x69a6e30a, 0x2b74fc7a, 0x58c2ce70, 0x5af6cd8a, 0xf9526f60, 0xaa552c3f,
+    0xc15c42ee, 0x186c0315, 0x65111495, 0xe432b701, 0xbd95529b, 0x731e9bb0, 0xe86a4dd7, 0x7a896e42,
+    0x9750b5d8, 0x96c1c526, 0x20a0f5c7, 0x824cef2f, 0x1d697616, 0xd4e5038f, 0x02f669d6, 0xd4fb6809,
+    0x272accb4, 0xa9ebab7b, 0xd3a5c77a, 0x00c4c1f0, 0x4d83348a, 0x18a3a564, 0xbdc5e730, 0x7c73d100,
+    0x42c29ad8, 0x4a8359d1, 0xdbf4c3d9, 0x5b9e6c9d, 0x5c1701dd, 0xb6a41687, 0x1f2ddb26, 0x46cf3c3f,
+    0xa83263ce, 0x947e4cee, 0x95beed3f, 0x10edc398, 0x5b6b5468, 0x975144aa, 0xc2dddd2a, 0x8f8e9f29,
+    0x62f7928d, 0x37e0dad7, 0x77d10163, 0x574b1fb0, 0x9127551c, 0x8ea597c7, 0x31466846, 0x1dd197fc,
+    0xf5402432, 0x4ae192c7, 0xbb7c8418, 0x7a915b54, 0x81522c9c, 0x1f82a282, 0x345e8e20, 0x2102a0d9,
+    0x95c2acfa, 0x7e76bc27, 0xdb7c679a, 0xe3c9bff6, 0x6cb04224, 0xa87eb1cb, 0x284b6cc9, 0xee89d1d7,
+    0x63c7fcd9, 0xa809bc67, 0x56fd6e0b, 0xff1949c1, 0xd31d3bf3, 0x64add116, 0xa425eb73, 0x1c35173c,
+    0x6f6ca6e4, 0x9bd64d2c, 0xeb3faff0, 0xf87197bb, 0x138cdd5b, 0x6c23e4f2, 0x6e0cd5dc, 0x47514efc,
+    0xef7f9ee1, 0x16995387, 0xb4a10df9, 0x9e23f97f, 0x3906c1c4, 0x51afbefd, 0x29ce1502, 0x432fe9fe,
+    0xf53d75b0, 0xf112a1f3, 0x99dc57fa, 0x1ced50bd, 0xa2443ef2, 0x41602553, 0x5f5589ea, 0x2e1b92f2,
+    0xfb22a628, 0x225efd24, 0x62abc2b7, 0x31d75cbb, 0x8c19a210, 0x36f58951, 0xa5e65882, 0xc42119cd,
+    0xf2cd0b73, 0xf04e17ad, 0x87d2c57c, 0x62f53fa6, 0xb080619b, 0xac0cee24, 0x7b7759f5, 0x329c5bfb,
+    0xbffba0ce, 0x07b5a3d2, 0xc6922c15, 0xe58629ff, 0x981a9fc0, 0x4fddf56f, 0xd4993709, 0x7b20c309,
+    0x18f0b544, 0x7e08252e, 0xf4a9c0d0, 0xe4e1cab5, 0xc1812900, 0x41f126bf, 0x68ffdadf, 0xea1d56bf,
+    0x1f628f87, 0xf17f4e2f, 0xe2a987de, 0x0a6648cf, 0xabe43260, 0x53d04e97, 0xdde96efe, 0x2a92e27c,
+    0x41b52a23, 0x5d5d4a25, 0x7851254d, 0x6e89588d, 0x45c1d56d, 0x79810453, 0xda686ad2, 0xcc7ca12b,
+    0x94817004, 0xd8e511e8, 0x629d6ef7, 0xeee556fa, 0x35e3c427, 0x8db660f1, 0x994b8954, 0x33e3ab8e,
+    0x9d6c1503, 0x23f706bb, 0x416a4eea, 0xd982ddcc, 0xe93bbc30, 0xdabaf680, 0x0ab6305c, 0x61604f5e,
+    0xc75e2e58, 0xccb7e253, 0x898b0ae5, 0x21a11fe8, 0x5458db35, 0x19ea02a7, 0x70eb0e6e, 0x1192c870,
+    0x66ec50ff, 0xebfd9308, 0x687a879c, 0x2cd916bd, 0x2fcfc460, 0x66f5e2c5, 0x5ca5b35f, 0xe143110d,
+    0xbdaa4fea, 0xa80c11e0, 0x488c9d96, 0xa01c4179, 0x58dcf201, 0x3533e2e1, 0x91aec976, 0x4fd11b62,
+    0xa389f478, 0xbb92af2a, 0x38b13d70, 0x866fac7d, 0x7b7ebd9c, 0x64c19854, 0x5c9669b1, 0xe60700eb,
+    0x69d12d71, 0xb6159dd4, 0x1389b2eb, 0x60e87893, 0x24a7a383, 0x88ecddbd, 0x6094a0b6, 0x78106006,
+    0x7b255cef, 0x0a702a81, 0x5e935d16, 0xa84cca72, 0x21b01797, 0x2acf786c, 0xf376f1da, 0x49e0dfd0,
+    0xa1e567bf, 0x54f26fa3, 0x2e006095, 0xb6c3437d, 0xc0daa688, 0x54286465, 0xbae02088, 0xe794d815,
+    0x73a5d9fd, 0x1262f42e, 0x71b5892b, 0xdf57b26d, 0x894bad8f, 0x2a275bcb, 0x98c40875, 0x5a966181,
+    0x3978e391, 0x1ae08829, 0xaceb5274, 0x94dfa2ac, 0x2d6038d0, 0x11d8f69e, 0x3d442598, 0x015ca9cc,
+    0x0aa378b6, 0x9d4e1f1a, 0x4305c05b, 0x5965cca8, 0x840ac8a8, 0x28908511, 0xfee960fa, 0xafb6c3c4,
+    0x88954a2d, 0x8dcd93a1, 0xba7cb829, 0xa4632371, 0xfd401c68, 0xb53fad42, 0x2d69aaf2, 0xe19bb839,
+    0x10ec603d, 0xffe1a3b6, 0x9e5bcb61, 0x919cea22, 0x630f4995, 0xde74d350, 0xd14e94ec, 0x0aa29d17,
+    0xd2af5de9, 0xce740368, 0xde57cb66, 0x79933e31, 0x3a0627b6, 0x33709811, 0x68009a82, 0x7dcac3b5,
+    0x899b089a, 0xa4081804, 0x827184c9, 0xfde5f538, 0x62188b13, 0x6de4f315, 0xdcb04984, 0x127136d4,
+    0xd1be5b78, 0x3717716f, 0x521a3fc2, 0x23bb3323, 0x8db7513e, 0x27d3745c, 0x753bdc8e, 0x37cecd4a,
+    0x694a7115, 0x085872f0, 0x4775e76a, 0x605bce80, 0xedc51ccf, 0xe7e5455e, 0xe48ec160, 0x4e746371,
+    0x5d762bd1, 0xfc9a1be7, 0x03ee7912, 0x631d2315, 0x0415662c, 0x2e7547a1, 0x39e8c771, 0x28af86a2,
+    0xbc219c8c, 0xd5378fd8, 0xcf121820, 0x2deea80b, 0x6a11ca31, 0x135630e9, 0xe6634882, 0xf3692cc2,
+    0x28af24f3, 0x94494f38, 0xcc0e4383, 0xc918d68f, 0xd62aff49, 0x1a7b7c3d, 0x3aa0f584, 0xdf5d37c3,
+    0x7528b83f, 0xc7e513b8, 0xe3fbc6bc, 0x69e13088, 0x7680e5ae, 0x0899d469, 0x90bd8517, 0x530799e2,
+    0xbcc998f4, 0x2c35921a, 0x76c66e20, 0xf369b56a, 0x34bbed3e, 0x71a8ee86, 0xe5ab5133, 0x8f0418de,
+    0xa2eaa289, 0x827004a5, 0x79dfa7a6, 0x758b5026, 0xd796288b, 0x2a683e6d, 0x07f6159a, 0x1df0c036,
+    0x1cd77f93, 0xc7facbef, 0xedf83385, 0x105e2be2, 0x4d8fd649, 0xb9e0cf2b, 0x967ac959, 0x96255734,
+    0xe520d3b7, 0x54d2d6e9, 0x420ea186, 0x62c787a5, 0xcc41b6ce, 0x97a7f9c5, 0x4451d019, 0x9b230955,
+    0xc9b7ff26, 0xb680dbbe, 0x18116a09, 0x3b6fa1c4, 0x85171f49, 0x84f4e33f, 0xcfa3154a, 0x98571a58,
+    0x67bf0ce5, 0x397ae0ce, 0xa7eae295, 0xa2d42816, 0xa19c4994, 0xad133ac6, 0xa4557aef, 0x68fafa48,
+    0xa8f75b98, 0xca01bd00, 0xc8fe943e, 0x47236304, 0x5dedbff2, 0xbb487f02, 0xf741dbf5, 0x50c4c91b,
+    0x4754898b, 0xcad6217f, 0x35464415, 0xdb3b2b21, 0x070445e6, 0x2dc80692, 0x46572b17, 0x7faf131f,
+    0x85a6b6ad, 0x45c4fdb5, 0xc5fcc41a, 0x7d0ad248, 0x1cbbdeb8, 0x79587689, 0xacae721f, 0xcf414e27,
+    0xbf46a893, 0x388ccd2d, 0x7cf661ce, 0x837ce4c4, 0x445ab5d0, 0x54898dd0, 0xd12773b4, 0x95da068c,
+    0x6b688fe7, 0x105735a6, 0x59a65705, 0xdc873729, 0x12f1ddc2, 0x27ce2a8f, 0xe974dcb2, 0xc9fab624,
+    0xc06b0b58, 0xddd6a50a, 0xbca969ec, 0x67268403, 0xd9ea4c09, 0x7deb9fd2, 0x9f5b9359, 0x4d166160,
+    0xf13e28c9, 0xf674cecb, 0xfe825865, 0xee318358, 0xfc3a0f02, 0xe2613c05, 0xd9c59b6f, 0xd1ef9339,
+    0x686f91e0, 0x4572a2f8, 0x8362b193, 0x02f542c4, 0xeaee0bee, 0xad86a47f, 0xc48cc94e, 0x74979e7c,
+    0x4fff4baf, 0xd0281143, 0xb5b25438, 0xec96fbe1, 0xfe35e130, 0x4acdc550, 0x763bd225, 0x6941fa6e,
+    0x0b262265, 0x0e54949a, 0x0cff20a2, 0xaf5ad4ee, 0x2b5e4f7b, 0x993e4864, 0xf8248d33, 0x2d43cfbd,
+    0x5783d5e2, 0x55724dc2, 0x3900a7e7, 0x4b93e995, 0xabeb1ff9, 0x0d550ee7, 0xf7e41795, 0x8eefd122,
+    0xe4055e51, 0x81274cdc, 0x4f8b19c4, 0x6481fb5c, 0xee786cc5, 0x7c96a94e, 0xf773e7d2, 0x3fe564ad,
+    0x044bc038, 0x7ed20d4d, 0xabd080e7, 0x0d8aa246, 0x48517c7d, 0x959ad9cd, 0x5e792b07, 0xb189c910,
+    0x6f187b5a, 0xb0670cca, 0xf11eaa1c, 0x4b5eaee3, 0x9e6c3c50, 0x2ea8c05d, 0xdb7333cb, 0xd3cd816f,
+    0x487de1c6, 0xa33fee4f, 0x15bb2e25, 0x44571bcb, 0xe90afc5e, 0x45c2e47b, 0x37862cdd, 0xed416a45,
+    0xa538f874, 0xa10c062c, 0x324402ee, 0xb380be22, 0x711198e8, 0xc0afc8e2, 0x89c05d19, 0xd238f16a,
+    0x1c0ac136, 0x954da2f8, 0x064ebe65, 0x1a618dc0, 0x8af831c1, 0xbfbcf455, 0x67e27292, 0x66acf4fa,
+    0x2c671a95, 0x75581361, 0x89d6a73b, 0x527490bc, 0xf1f09476, 0x0d785b49, 0x5462e1d1, 0xa88115e2,
+    0x399b58cb, 0x0a19d979, 0x23164336, 0x3776ae8a, 0xb59fddf5, 0x88ad3182, 0x91c106e8, 0x1f1e8cae,
+    0xcf0ce128, 0x9c23e6b4, 0x6c6c3588, 0x5c96a20f, 0x52a6c4ac, 0x4c48b818, 0x027537e3, 0xbdcbb338,
+    0xb5a408ec, 0xba91ad68, 0xb80921bf, 0x9b3eada4, 0x2e007002, 0xde5f7c88, 0xbd95e7b1, 0xed33c3db,
+    0xd2bd423a, 0x12acf84d, 0x2a6be3eb, 0x6011618a, 0xfe256f35, 0x8c1ed3bf, 0xd2319299, 0x970c2787,
+    0x8fa86955, 0xd24954cc, 0xa462d13c, 0x438c02a2, 0x66fe52ad, 0x465b390f, 0xce008578, 0x548fe397,
+    0xa0d49b76, 0x8c07eaac, 0x7f865fa7, 0xeadf9166, 0x0ef7ee68, 0xb745b70f, 0x479f1d30, 0xea833f05,
+    0xeca098d4, 0x1986df84, 0x760ec9af, 0xca3f2612, 0xc777a9cf, 0xb933a4c7, 0xc866587e, 0x87afb3c7,
+    0x85082afc, 0xfa57ba65, 0x76374aac, 0x00800b8b, 0x9c559dc4, 0xfbc4969c, 0x28b80e07, 0x5871656a,
+    0x00000000 }, /* 10**-00000000000000000000056784275335594288324165922491250354246378231303696723459\
+                          49142181098744438385921275985867583701277855943457200048954515105739075223552 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a,
+    0xc5b9254d, 0xfdf461e9, 0x8be66bc0, 0x8588ab83, 0x17076d05, 0x52714bd0, 0xa7af2846, 0xdfea68d5,
+    0x00000000,
+    0xcc5653be, 0xf66a5453, 0xccfc19c7, 0x62731820, 0x3ecf430b, 0x4dc7f2b8, 0x7a218d27, 0xa1d90b88,
+    0x38976516, 0x4390911b, 0xa5340064, 0x3e4d95f4, 0x48d7287a, 0x34ce1be2, 0x640d88d9, 0x269a0d79,
+    0x70ab2d42, 0xca081e9b, 0xdd13ea68, 0xc16c8ba7, 0x516a9125, 0xdb5c6c50, 0x988523e4, 0x5b1de6bc,
+    0x189af485, 0x15cda9a5, 0xb9a46761, 0x5b58f889, 0xc0329e0d, 0x7ac50d29, 0x314540ea, 0x6504e97f,
+    0x87df197f, 0x15fa1061, 0xe5ce3beb, 0x3b06bac2, 0xe867f0f0, 0xb5accfd1, 0x0a6310a1, 0x1fdd3bc8,
+    0xfa773842, 0xc3446b7f, 0x608df271, 0xeedc63fd, 0x2a846523, 0xd419752e, 0x3bfd3365, 0x3e995be4,
+    0x0299eeff, 0x23549379, 0x63157590, 0x3df8db11, 0xdf981f8c, 0x0d4b14f0, 0xd851a80f, 0x6d8cbd7a,
+    0xc0950d32, 0x99dbf33b, 0xd705c129, 0xa8813728, 0xb41f18e4, 0xf2624c47, 0x9bd75c6f, 0xc24a04ec,
+    0xeedd6bb3, 0x5f6ce80a, 0x6a1292ce, 0x6fc38509, 0x92f7cb2d, 0xd1a519a4, 0xda95a452, 0xd8ef7e1f,
+    0x1d87c47d, 0xba4d850c, 0xc7f16718, 0xf66aed37, 0x8eaa52e5, 0x8294d5d7, 0xa13f78ee, 0xaad63d16,
+    0x91be93e7, 0xf20c38c7, 0x9bd3b8bb, 0x839603ee, 0x2139649d, 0x27a32b7f, 0x3cb1a2db, 0x85f55883,
+    0xee671f82, 0x4b0724f5, 0xdaaee2b9, 0x034d63e1, 0x284a0286, 0x996e7b61, 0x29d2781a, 0xa64378d3,
+    0x82ba2687, 0xa6d87002, 0xb06b38d0, 0x01ceed9a, 0x132e8531, 0x16c4e2e4, 0x6ab7fc30, 0x9909b08f,
+    0x230e0a01, 0x33548e69, 0x0a3029b7, 0x8428f5db, 0x2e29593e, 0x32ba8296, 0xc4cbc96e, 0x403c15b6,
+    0xc42ee15a, 0x8a4af098, 0xb4108b86, 0xc3a5317d, 0x94e0e473, 0x7192885f, 0xf23919dc, 0xdb5fae2c,
+    0x1805c7e5, 0x6ff8298d, 0xfd790fe4, 0x3d534b3d, 0xee919c88, 0xc27a7dd6, 0x51414ccf, 0xd982478e,
+    0xb51cb4e8, 0x6c96b6b7, 0x67ad767e, 0x954782e3, 0x64bcaed1, 0x3a4afab5, 0x9b6f12c0, 0x5e846d39,
+    0x092d1991, 0x7f4f68dd, 0x45d2088b, 0xea49ea59, 0x8f0b91c2, 0x16199464, 0x309e1376, 0x1ce3b27d,
+    0x3d8425ae, 0x93df8025, 0xfbf33ce0, 0x5d6187a7, 0xaf4a8b92, 0x3103293c, 0x43a5aa3e, 0xc6749f42,
+    0x1082dd7a, 0xa73aac03, 0xca8bbcee, 0x2edcad9e, 0xf28c193a, 0xe0f205e2, 0xebbdda2d, 0xb50e43b5,
+    0x141e2897, 0x7b36058b, 0xa9664407, 0x1f30cb8d, 0x31f25377, 0x78eb18e0, 0x8fbb53a1, 0x15dff018,
+    0xb4666b05, 0xa3cf38db, 0xbfd4db5d, 0x155247c7, 0x5b36975a, 0x6589e177, 0x40e06132, 0x3de432e8,
+    0xb46ec9e7, 0xadf409e9, 0x7c69df70, 0x3821f81f, 0xf7cbee77, 0x160c0c7c, 0xfd44da26, 0x18db4e6e,
+    0x431477c1, 0x9ce3f0c7, 0xc7a95c67, 0xc61c4f3d, 0xa2affb25, 0x430858be, 0x7454c3be, 0x0dff36cd,
+    0xb080c866, 0xd6eeea83, 0xe626f8be, 0xa683c5fa, 0x4855b56e, 0xa34335b4, 0x9b516e65, 0x1f28eb9e,
+    0xe7c08c15, 0x9bf91c09, 0xd142562e, 0xe79622b8, 0x8e73988f, 0xd3a1e0ce, 0x59ea980d, 0xb5f0ba5f,
+    0xc67a8278, 0xb0a90885, 0xc44d45e9, 0x55eb4a55, 0xaa782834, 0x75ce7391, 0xde4543f5, 0x34be5e61,
+    0x258a9eda, 0x533e5176, 0x43b1b7e9, 0xbb347092, 0x21010292, 0xd0d6e704, 0xb79d004a, 0xdb471293,
+    0x0bee1754, 0x8e9bf0e6, 0x58af9dd5, 0x1c37cedc, 0x07be4f08, 0x55a6e25e, 0x71afa017, 0x8f909f51,
+    0xdcb1d002, 0x5c9702ed, 0x437c8f44, 0xb126e341, 0x8dc1eaac, 0x92f15b26, 0x8a4c2ee2, 0xced76f4f,
+    0x4e2a2e1f, 0xf6231e44, 0x63d89b20, 0xd506c849, 0x37a19ccb, 0x7ae16162, 0x4957e56d, 0x00116331,
+    0x22f13f0b, 0x47eb35ad, 0xeb5fd138, 0x39ff6b57, 0x6c01e8d3, 0x2f23f983, 0xc1eaf935, 0xae78cd6d,
+    0x54ceefb7, 0x5252784c, 0x754028c5, 0x5134a4d4, 0x721d10ed, 0x85a5134c, 0x83d0c294, 0xc104036b,
+    0x7a75217c, 0xcb500ec8, 0x0355b1c7, 0x72467668, 0xa1bfa43c, 0xfb2931b9, 0x1c1bf115, 0x0869628b,
+    0x0fd9286e, 0xdbd5516e, 0xd358a94c, 0xc8320cb5, 0x39cddf9b, 0xd97457cb, 0xedd3c88d, 0xc529f881,
+    0x3ed810d1, 0x6956972e, 0xee401d6d, 0x8ce2218f, 0x04f2694c, 0x747cdef2, 0x727e58a2, 0x112e982c,
+    0xd3d0eed2, 0xfe20ebe0, 0xda4b927d, 0x8eb76973, 0x106498e1, 0x00b243a9, 0x17f48654, 0x1d6ef213,
+    0xa16f60c5, 0x536e7de1, 0x85c325ca, 0xa2a12b7b, 0xc585aba1, 0xb208f470, 0xa68a8731, 0x09f0eb69,
+    0xf93d9252, 0x82763d27, 0x140de803, 0xc661dc34, 0xeaa94f77, 0x94139754, 0x5c681bc8, 0xb52fba6e,
+    0x70cea772, 0x7c167584, 0xc0002ead, 0x19e5fdf7, 0x09a1f49b, 0x347b2695, 0x175e33fb, 0x60bb5204,
+    0xe9c25d84, 0x9a4e3d3b, 0x52104129, 0x89e4478d, 0xbdea20e6, 0xc247c0fa, 0x0280d3ab, 0xb43932fa,
+    0xdd6d5356, 0x994f4c7a, 0x1b578b38, 0xf618c0e2, 0x5cc51817, 0xc38b9c23, 0xac1ebb13, 0x975d4804,
+    0x9fb8b544, 0x26b0f6db, 0x8640260e, 0x50205c71, 0xcb034b32, 0x90f32003, 0x7d07709d, 0xdcfdb0d4,
+    0x6f69dcb5, 0x021c5b59, 0x62a6170a, 0xd4a139c9, 0xc3e05b23, 0xdd5088b7, 0x224f5515, 0x7f6084cc,
+    0x04dfbfe7, 0xc14616cd, 0x80dfceb6, 0xf32adfa0, 0x0e2afda9, 0x9eaade38, 0xab61bc23, 0x216adb5e,
+    0x2cf44431, 0x57cde847, 0xb0704496, 0xddb8e77c, 0x53dca29d, 0x81809c8e, 0xf9d66b7d, 0xac845c59,
+    0x577c9157, 0x784c745b, 0xd4f13f34, 0xfb925d96, 0x9a398725, 0x955c0365, 0x495a1806, 0xa7352d3d,
+    0xbb32cdd8, 0x6f994e01, 0xa3d5ef1c, 0x98427ff6, 0xbadc29a1, 0x6fbd0a8f, 0x602d2ddd, 0xf9fb6857,
+    0x03d0a32e, 0x9b8bb9f3, 0xba74c189, 0xe1e7f689, 0x03edda4d, 0x1bca7993, 0x876c8b38, 0xf3e0ecb2,
+    0xc5ca1851, 0x1a8161e1, 0xa1b95af0, 0xdf0546ec, 0x192ab9aa, 0x6ead3297, 0xb9b8261e, 0x78e51bc6,
+    0x6001ae39, 0xd165d6a9, 0x38e7b806, 0x823503b9, 0xd44eab72, 0x0052ee19, 0x4d45d438, 0x0c5985b2,
+    0x62c932cc, 0x09e958ed, 0xc0a75225, 0x7982b578, 0x132158e2, 0xc20cad6f, 0x8bf5f644, 0x8c205a94,
+    0x46743a81, 0x1c0f5f8b, 0xcf751654, 0xa079c326, 0xd30c2356, 0x85e050be, 0x063d3d96, 0xb58ece3d,
+    0x3363f2c8, 0xf53f10b5, 0xe209b504, 0x61c1ebcb, 0x48790c7b, 0xbe19415a, 0x8ea6d265, 0xe9ced827,
+    0x9a81f4ca, 0xa8bed842, 0x8ccbfaeb, 0x0e3f0552, 0x567ad3ac, 0x89294b5f, 0x884d56ac, 0x590d091e,
+    0x8fa47c08, 0x7b0761d1, 0x2f934e38, 0x9257557d, 0x612166ab, 0x2a6c1c36, 0x45bf0442, 0xb0c71ffd,
+    0x6ceb5799, 0xad5aaa37, 0x9af6353a, 0x3994d9e6, 0x70030fee, 0x74ff5b00, 0x1768f852, 0x27bd35f8,
+    0x6e3704b9, 0x79724f9b, 0xee477cb5, 0xefd85474, 0x8c2bfb10, 0x3b1bdb6a, 0x49f25971, 0x2d85d78c,
+    0x3a61aa18, 0xa167f35e, 0x0d21f9bd, 0xfda99f76, 0xd6261afd, 0xfec21d68, 0x9bbdd1ea, 0x78f0262b,
+    0xf1113747, 0x4f5c65f1, 0x4cbed462, 0x5e6326f0, 0x6c380812, 0xd11a36ec, 0xe0725a8d, 0x41adeada,
+    0x6452a2ba, 0x5737d4c5, 0xcbc3a4ba, 0x3bd48087, 0xf8bd8b26, 0xa9a5f5aa, 0xba89c87d, 0xcf63af99,
+    0x864fa2b3, 0xfd25e337, 0xe7fb7ea8, 0x9d6aaeb3, 0x4bb3b7af, 0xe244c954, 0xba06feb9, 0x0ce492cd,
+    0x61a5c026, 0x74d2bcb5, 0xacb29ffd, 0xcb7a2a3d, 0x393b59b1, 0x7581adf0, 0xca2b2008, 0x1d89f404,
+    0x35eceb48, 0x23b53a7e, 0x9e33aa22, 0x648ce443, 0xed8dbf80, 0xc3c16a27, 0x6203806b, 0xdd3ac2c2,
+    0x3057c5f6, 0x09360ea4, 0x35ed7712, 0xee69badb, 0xfa6f3529, 0x56ec4993, 0xb834c75f, 0x7288a572,
+    0x2dd2160b, 0x5a68858e, 0x334ef935, 0x9051dcac, 0x4220103f, 0xbb010354, 0x27cc6a35, 0x41ecb22f,
+    0x12c0bd93, 0x121176a7, 0x931f78c8, 0x3158c3e2, 0x6c9df522, 0xfbcbbe89, 0x943544ee, 0xcce62cd3,
+    0x2fae4499, 0xe81ad3df, 0x5208d7ba, 0x63aa5f80, 0x0b38b732, 0x94a0c9e7, 0x5e3a9093, 0xafc18836,
+    0x97520e4b, 0x28c55714, 0xf206ea5b, 0x7ca36c2d, 0x1a642ad7, 0x58158b0e, 0x8c3790cf, 0x3eb14ea7,
+    0x9b3bbe04, 0x8fca1ec2, 0x0e973351, 0x034d887b, 0xae3432a5, 0xe67db2d0, 0xa83c0fc3, 0xd9a5d98e,
+    0xfa4b06b0, 0x02cfa34f, 0xbc623607, 0x7269b278, 0x632caa64, 0x99c62316, 0x3912fd79, 0x879ac543,
+    0x98de10ab, 0x58e5dd42, 0x6ecbc463, 0xf7025873, 0x812fb973, 0x2c3b352c, 0x58374f14, 0x0d71f14d,
+    0x7eabc54d, 0x2e87b3cc, 0xf58280de, 0x106f76c7, 0x25d72971, 0xe1297456, 0x990c62a6, 0x3618a8d9,
+    0x6c4048ca, 0x5b65e5fc, 0xfcc86356, 0x4e315bff, 0x6ecc5d8b, 0xd853a59e, 0xab753f0d, 0xb958543f,
+    0x5f06b2fe, 0xb7cbcb12, 0xaa104b6c, 0xb4e3e173, 0x7b808ec5, 0xc9dd3e3d, 0x2d42ecfd, 0xc0dd3683,
+    0x54643e35, 0xc0b4f9c4, 0xb357a3d0, 0x750c9004, 0xf30f2300, 0x4e38fe2c, 0xbbc7d4f1, 0x3e2173a8,
+    0x253d301d, 0xb033f8ee, 0x030a1f35, 0x8e1e8bf8, 0x0b8ee32e, 0xf1f1ba0b, 0x839019f0, 0x1d95ef01,
+    0xb4dad454, 0x4b9be655, 0x54ca2298, 0x8f8a4609, 0x9827a1c9, 0x1c091ed7, 0x1b2ea97d, 0x7948c4a1,
+    0x5137f23e, 0x87d038c5, 0x8fae39ef, 0x3a49b83b, 0x4a76b086, 0x739b8fbd, 0xc8f735e9, 0xa10a31fd,
+    0x3b3b7753, 0x481f7063, 0x236ce363, 0x76a0c583, 0x11a57b34, 0x4bef6d7b, 0xb39d09ca, 0x7dfa670d,
+    0xbef19cef, 0x096bde29, 0x3133b495, 0x68da5acd, 0xb9e99159, 0xc9774ad0, 0x57ad715d, 0xd3fec267,
+    0xdeb280d7, 0xf6fba59e, 0x09ca4b13, 0xa3b44af4, 0x895c956c, 0x0bff4794, 0x1374c486, 0x750ad7e5,
+    0xbd2e5f0f, 0x0495a75e, 0xed387a8e, 0x259153db, 0x01f7a50a, 0x8d7803e0, 0x3101ea02, 0x9257d1a0,
+    0x79e25a6f, 0x839ce482, 0x878890f8, 0x2c06b229, 0xb892b671, 0x9b8ab881, 0x952504c9, 0x1f707070,
+    0x14f6a5e5, 0xe35544d6, 0xb450a918, 0x594bf014, 0x9d38b32d, 0x05ec1848, 0x6c305bb6, 0xe8312d7e,
+    0xd2a4cd92, 0x73b690b8, 0x30b51a87, 0xd9732cdc, 0x76008668, 0xfac0e740, 0xf0233de7, 0x724da995,
+    0xcb42211a, 0xffc9e529, 0x84f23827, 0xb432f083, 0xf4d4e5a2, 0x29ccfe91, 0x5c756510, 0x5bb2b134,
+    0xe834ebf2, 0xdfb838d0, 0x0e778cc1, 0x7b6dc621, 0xac8b3650, 0x90e7fbea, 0x7d802659, 0x4bbb7619,
+    0xf62df552, 0x6cf623ea, 0xd29501ea, 0x6448ec5b, 0xc50ebc7c, 0xa826f59d, 0x78382866, 0x71fd1e59,
+    0xcfdcebdb, 0xddacfce2, 0xaef67f9e, 0xc6969dd0, 0x7e796acc, 0x9eb85fd8, 0x19997d99, 0x0b5bb9dc,
+    0xf0791262, 0xaa5265e6, 0xd519fb75, 0xc7face53, 0x55319586, 0xcd2105aa, 0x6dd6b515, 0x41ce2941,
+    0x97b71fd4, 0x2a28a272, 0xdf52145d, 0x989fc87d, 0xb9b4a399, 0x8d521a7e, 0x7d105c6b, 0x41ba66c8,
+    0xef6b6daa, 0xf1c591f7, 0xa7097d0a, 0x036ad229, 0x5cf710eb, 0xe6aa406f, 0xdba4f571, 0x9d8dd5c2,
+    0xbca85314, 0xac5fa8c2, 0x6e3688bd, 0xb89656f9, 0x9d027979, 0xd7dfef2d, 0x248cfb33, 0xc203b35c,
+    0x4481e4d9, 0x55f95c23, 0xf4ff627b, 0xef31fd3e, 0x63e49d95, 0x387f3a96, 0x8b315e07, 0xd6bf3a29,
+    0xead1aa36, 0xa22056a8, 0xc397af0c, 0x8346f623, 0xf2d3481f, 0x7366357f, 0x2d3233ba, 0xb1182bee,
+    0xffc8fe60, 0x2c09a695, 0x2d8e6dfa, 0x3a198aad, 0x08cf64cf, 0x24bee0b7, 0x02ced437, 0x6accaedb,
+    0x84036ab7, 0x852fe3c8, 0x4039b45f, 0x2e2caae3, 0xbb9920da, 0x1ab0a098, 0xc1525f7d, 0x6030c36a,
+    0x09d95f33, 0x1a77bb99, 0x516d18a9, 0x72d97d6e, 0x738d1f4a, 0xb158d8dc, 0xc0c98916, 0xfe274e60,
+    0xe7208b23, 0x094dc6a7, 0x2f755c35, 0xcbd2d322, 0xc4ba7df0, 0xc60b04d4, 0xdd8f9d6b, 0xc2281502,
+    0x24fc2e96, 0x57cd0da8, 0xdb667cea, 0xd1ef1478, 0x8e2a928b, 0xaaf5a0f6, 0xe33874eb, 0xaa884be7,
+    0x87d23af6, 0x7103aa0f, 0x07b2bae2, 0xd75a926c, 0x5da27d57, 0x44b46a21, 0xccf3f97e, 0xf750fa0f,
+    0xab4b0465, 0x59668fcb, 0x614502e1, 0x5b116695, 0xa3b54ff4, 0x7b93241f, 0x1f18a81f, 0xc7d26541,
+    0x7892bdbb, 0xfb98bb53, 0xdc17524f, 0x40250e5a, 0x31e5a6e5, 0xb56fbdbd, 0x9d09063c, 0x67978934,
+    0xfa21b093, 0x0a3e9c5d, 0x2daddac6, 0x88c1b4f1, 0x7ff3be2d, 0x478567cb, 0x7ccd8e0a, 0xc32a60ce,
+    0xabad31f8, 0x4ff5d03b, 0xe8036838, 0x9515bb84, 0x1df2d598, 0x1a69f99f, 0x7e52b1b7, 0x9cfedbc9,
+    0xe67a282c, 0xf459ab6b, 0xac8f27c2, 0x3f938ef8, 0x527327cb, 0x48685810, 0x1eda44fc, 0x82843ece,
+    0x25f438fd, 0x11368b2a, 0x0857f636, 0xb9de0fca, 0xb0a01a28, 0x7738eec5, 0x2d653788, 0x97f3ea51,
+    0xd6171252, 0x008d0df8, 0xfb75c643, 0xdaa5e80a, 0x488111f1, 0x75d8f1c1, 0x655cf1b6, 0x5b8c8ee4,
+    0x4f9cd846, 0x65bae8a7, 0xa7a9754e, 0x04e1c5e9, 0xc8b8a285, 0x554044b4, 0x2dec7545, 0x864f5f2c,
+    0x56c4dca1, 0xfadd45f7, 0x6a8cf713, 0x660fd8ca, 0xc75c1a52, 0x7b29851f, 0xddd963d9, 0xd3ac5656,
+    0x43591ddd, 0xffe3278e, 0xc8657068, 0x5b9b5d33, 0x35c8be71, 0x56beb17a, 0xe2bedc55, 0x43f89e97,
+    0xdaf91c77, 0xfb707d70, 0xdc5557c9, 0x2d2fc94b, 0x33fc31d8, 0x4e68327f, 0x69ecabb6, 0x005e66cc,
+    0x34858b97, 0x54518b98, 0x409572ce, 0x6c924877, 0x1129fb66, 0x4c0a9f9d, 0xbde767af, 0x9bec14bd,
+    0xf88b58a1, 0x53b32e1b, 0x1431fc69, 0x221c3535, 0x95cd8057, 0xa2f5375a, 0xde933e06, 0xdeb09928,
+    0x35a05ef6, 0xd6175baa, 0x76594df4, 0x138d1bf9, 0xd4a44f90, 0x598a2772, 0xa5d09d1a, 0x43977ef3,
+    0x1515e940, 0x25a6061e, 0xbdaf6459, 0x8162fa0f, 0x7e78d30f, 0xb493074c, 0x3a1c0ba9, 0x792a08ba,
+    0x51c0b0d0, 0x4efcf7a2, 0x7984d1c9, 0xa18fa02a, 0x5a2ca707, 0xc55d86a5, 0xe60c17c3, 0x9d319b8c,
+    0x74955a1b, 0x4b0d60aa, 0x0891ad1a, 0x7a8ea41d, 0xa01d996f, 0xea57963c, 0x3a9f1867, 0x8378e6c1,
+    0x7dd13f33, 0xdcef61e0, 0xecbde381, 0x3bfeca60, 0xcfe8596d, 0x98cc2707, 0x041c2967, 0x882eff76,
+    0xfe1152cf, 0xe3c4c49b, 0x3845a24f, 0xbae19b95, 0x94805f88, 0xfa9e2c7e, 0x778f94bc, 0xccdfb4c2,
+    0xa634e721, 0x351b6176, 0x560285e6, 0xdbe61fad, 0x48769e96, 0x0f0df663, 0xdc4e5cb9, 0x2db303e0,
+    0x42cb5cbc, 0x612abbb7, 0x53e1cf1a, 0x29c02e97, 0x53843a64, 0x6ecd41c4, 0x1504c7e0, 0xf60cf148,
+    0xbe3dc80b, 0x420bbe07, 0xa9db5587, 0x9d76f361, 0xecde7e5e, 0x7ea0c636, 0xb818ba3f, 0xcb0ed012,
+    0xf5fde33e, 0xfb6e0d80, 0x38d477c5, 0x9b6b5599, 0x5fe6dd8b, 0xc88bc571, 0xcc73388b, 0x33b40475,
+    0xedd641b7, 0x1f4c7f2f, 0x0e0bdb8d, 0x36191261, 0xc76279dc, 0x5f6480d4, 0xa44c4b4e, 0x8eba2822,
+    0x00000000 }, /* 10**-00000000000000000000028392137667797144162082961245625177123189115651848361729\
+                          74571090549372219192960637992933791850638927971728600024477257552869537611776 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5,
+    0x62dc92a6, 0xfefa30f4, 0xc5f335e0, 0x42c455c1, 0x8b83b682, 0xa938a5e8, 0x53d79423, 0x6ff5346a,
+    0x00000000,
+    0xa1b9bfae, 0x04e8e4eb, 0xff4d9a2e, 0xd4b57994, 0x58c1754c, 0xce751713, 0xbabba239, 0x8f4f36eb,
+    0x3b7a253b, 0x26a660f4, 0x9db8260b, 0x78693b9e, 0xec3e8f13, 0x1479e483, 0xbab2684a, 0xc19ab45b,
+    0xf6d126df, 0x9b6fa175, 0x29efe967, 0x02fcae39, 0x14f2a461, 0x2b2fd727, 0xb478c48b, 0xff9d2ba8,
+    0xd8de6b05, 0x5c5eb01d, 0xf20290ea, 0x2a798ab2, 0xf2d01ec7, 0x46f64eae, 0x4d863b31, 0x00c51fcc,
+    0xac41c36c, 0x56d14b23, 0x7f2b3a78, 0xeda92504, 0x1e540789, 0xf463bde8, 0x72681fa5, 0xef3b62ad,
+    0x6ff00897, 0xda3ee2fe, 0x1a8aa669, 0x270eea66, 0xcd40554c, 0x075f3506, 0xf67f0c48, 0x2b4cbc58,
+    0x0b750a33, 0x3cc31bd0, 0x2a4f8de3, 0x7ae974ed, 0xded11de6, 0xf8ab1a08, 0x61d670df, 0x778d831c,
+    0x07762e3e, 0xfd24a106, 0x73542c1b, 0x4fcab20e, 0x319aa5f9, 0x963a2ddd, 0x88db99bf, 0xfcbf57e1,
+    0x829dbf3c, 0x16738c09, 0xd4112c5d, 0xa2da08c0, 0x25702abe, 0xd52d0f3e, 0x9b5830bf, 0x7856ce5b,
+    0x07b69986, 0xd7dc4f17, 0x0a427364, 0xe07a867b, 0x88ca3b45, 0xb06f7d81, 0x3c94b81f, 0xaea54fac,
+    0x41e7aff3, 0x52bd31ca, 0x1886a6d1, 0x0f0c2c1c, 0xd990193d, 0x99e024ae, 0x43df6a89, 0xb6af8be8,
+    0x7751d0bd, 0xd152ec25, 0x8a862990, 0xb893a298, 0x9882d67d, 0xe85bdb82, 0x0f76a0b8, 0x225cd203,
+    0xa7832a93, 0x9c356328, 0x676f8aac, 0x998b9898, 0xe697e31f, 0xd041c8e2, 0xe9d1a13b, 0x5faa04cc,
+    0x6bf597ed, 0x8a7c9cb7, 0x3bd1ba53, 0x9494966f, 0x43cef8ce, 0x6288a1c3, 0x6033fc8e, 0xa658fe90,
+    0x34f260f4, 0xc351a038, 0x1e8aa09d, 0x4c9a488c, 0x7407ea53, 0x60642c09, 0x2bc39ee9, 0x8ca4e3da,
+    0xb369578f, 0x5b9af5e3, 0x68caa114, 0x386a8c8f, 0xf92ce594, 0x0b4ba66f, 0xe7ce2e4d, 0x0f6b21eb,
+    0xbbc417d1, 0x2fb8e8e1, 0xd8f3f35e, 0x703a20bb, 0xdadd8459, 0x8b40931a, 0x059e83da, 0x0e3c7920,
+    0xec630d4b, 0xfce013b2, 0x6a6f67fd, 0x7672fc1b, 0x736668c7, 0xcbbaa1f1, 0x0f3b4418, 0x2f797521,
+    0xde9ca5ae, 0x21bcf3f7, 0x8a372fbf, 0x8e119120, 0xb99d8028, 0xf80c050f, 0xb90e950b, 0x993b8809,
+    0xe8305383, 0x663999f1, 0x0eed66a6, 0xfaa2dd0b, 0x778a73e0, 0xbcb327a1, 0xfd8aa7c6, 0x2afb1adf,
+    0x06277f01, 0xbce7d0c3, 0x5f90c44a, 0xda189dee, 0x816a119c, 0x0e54c27a, 0xd5843f14, 0x54f4b22a,
+    0x8526fde9, 0xa12f528f, 0x61c70ead, 0x83749947, 0x34364c56, 0x13bc291d, 0x21d286f2, 0xdf2d3364,
+    0x6288e90e, 0x9401ca37, 0xeee52be1, 0x78b1474c, 0x19e88326, 0xda7c4749, 0x4fc05be2, 0x1e18d1ad,
+    0xd0026591, 0x62c18567, 0x357fb8e2, 0x2d734a07, 0x31649c49, 0x366035b2, 0xaf72af49, 0xbfcb7aa7,
+    0x125c6b53, 0x823121a6, 0x84eb9f0a, 0xb9870759, 0x0fb0e53b, 0x34870a36, 0xa7609803, 0xf7bdb765,
+    0xedc54f2a, 0xb005fdb2, 0x92b1c937, 0x5601ed6e, 0x1fad111c, 0x21c58ec0, 0x2ec7cfb2, 0xb5b0f76f,
+    0x02c7c71c, 0x573d80b1, 0xd53f79c4, 0xcf67246f, 0x8979e251, 0x3e6641e8, 0x355f86ae, 0xed4a96ca,
+    0x452ee225, 0xca592480, 0xb7bbddc5, 0x8d328bdc, 0x70090fcd, 0x27d2d337, 0xdc56acec, 0x127a7e9d,
+    0x8a3f2555, 0xd9877a98, 0x2ac788d9, 0x316962dc, 0x077fd73b, 0x4ec6d4b6, 0xe5982abd, 0x2f6fb69e,
+    0x222383b7, 0xdf324b83, 0x183ca503, 0x712ce2f5, 0x95fd7fd3, 0xeee6d246, 0x3517fdb5, 0x7d8cc6a7,
+    0x7b4f751d, 0xb5992e6a, 0x227f2572, 0xdb757ecd, 0xb2a1738b, 0x805a3697, 0x60d12507, 0xd79e8a71,
+    0xfe935027, 0xc775e1a5, 0xea86d378, 0x2baedbb0, 0xbe1dd4a5, 0xb43f6bfe, 0x5b77975b, 0xf9ff298a,
+    0xc5c0d20d, 0x307d7ce4, 0xd98120b3, 0xac5b450c, 0x04dd5ddf, 0xe9cd38bd, 0x944beec6, 0xafa9d770,
+    0x4137804a, 0x47cbdb51, 0xfdb6a001, 0xbd332b27, 0xfe3f2ad0, 0x41bf8205, 0xc608ee72, 0x549e47fd,
+    0x8d929e9b, 0xbdfbb196, 0x0150b2b4, 0x4481d16c, 0x065b677d, 0x55b9b37b, 0xdfea0d15, 0x12b1d03b,
+    0x0b7f9964, 0x9f9dd5cc, 0x288e4624, 0xfd5ab9a5, 0x48101558, 0x9fb8eb8a, 0xc9a1105d, 0x46da44e4,
+    0x7a25c6bb, 0xf7f5b94b, 0x2f2692c1, 0x365d16e1, 0xa30fafdf, 0x29b071fa, 0xe451b22b, 0x263e92cb,
+    0x913d1fff, 0xe3e958f4, 0x9cb32379, 0x1035694e, 0xc6d9bd3b, 0xa3d5cae1, 0xf6b1662d, 0x70bafca1,
+    0x9f1147b8, 0xd6ef0507, 0x47a12645, 0x211f60bd, 0x59d06d1e, 0x7e97b857, 0xdd46af6f, 0x8fd763f3,
+    0x48708694, 0x267062cd, 0xe2e3dd56, 0xcda1b56a, 0x36ffaf2c, 0x7c442b65, 0x636014ef, 0x2052e393,
+    0xbe56a7d4, 0xd85dd359, 0x75ffd52e, 0x1019f876, 0x11780f99, 0x2af05128, 0x0007dfe0, 0x247aa753,
+    0xc74912f3, 0x2be4b415, 0x884f9e80, 0xf10d271a, 0x03c75eb9, 0x7e25cd9d, 0xc1f0034e, 0x5399f406,
+    0xbead36a3, 0x9bd21a97, 0x22c8ac5c, 0x2e171cf5, 0x1072fb59, 0xf407dbfc, 0xb1784f8d, 0xfd87df10,
+    0x80549f3f, 0xcbaddf4a, 0x65712ab2, 0x3d3459b7, 0x6514a1f2, 0xaeb55f99, 0x31773255, 0x94c96d7f,
+    0x6c287745, 0x0dc0b7d5, 0xa0bdbb3e, 0x86bc23da, 0x73ae66bc, 0xd3348cdb, 0x39f63776, 0xaac92d01,
+    0xdde6a8a5, 0xf7be1a44, 0x3e6cf257, 0xb0514e1f, 0x36ee66d9, 0x0a814440, 0xecad1894, 0x886aca3b,
+    0x2022957a, 0xc0f7e265, 0xced3f43a, 0x53acbc83, 0x07218e7b, 0xc0d86a42, 0xc63d4bf9, 0xfc0dc00e,
+    0x45f5f67a, 0x6ca00e0c, 0x774a9871, 0x34fff2a1, 0x5eb673fd, 0x45ea4db7, 0xd0e2cb9b, 0x6f3e94dd,
+    0xe060adce, 0xa5995871, 0x25a73dba, 0x945d7f61, 0xa46df820, 0xba2d4617, 0x2469df70, 0x1965f607,
+    0x19b64c08, 0xebe9c209, 0x2c5a1d04, 0x4219dc8a, 0x82835502, 0xa3c54063, 0xe3483900, 0x7f014b35,
+    0x5e8cf021, 0xcdca171b, 0xa8cc11a6, 0xa8857ae5, 0x03b9fbad, 0xdd6cc40d, 0x61930085, 0x4894b787,
+    0xa8e00fe7, 0x09381742, 0xbe284c13, 0x0a830a0f, 0x982dcea2, 0xa34356f8, 0xe58be934, 0x5a2c9a3d,
+    0x9f8b18c2, 0xbc122671, 0x974b0b6c, 0x72ae85c1, 0xa82f78eb, 0xa4bb659f, 0x96487f4d, 0xad46d18c,
+    0xf04f36ee, 0xc448ac16, 0xa63565d3, 0x90277784, 0xc4ca5e2b, 0x61fa22aa, 0xe740dce6, 0xc76e7740,
+    0x7393d781, 0xfecf0326, 0x8ca5fbab, 0xf8c6c49a, 0x8f6cf018, 0x49ca12d8, 0x988ff3c5, 0x644df2c6,
+    0x20d63530, 0xa00443f9, 0x191adf31, 0x8e26b595, 0x63b13585, 0xa8ad08e5, 0x44208bcb, 0x8677bf8a,
+    0x3458cdda, 0x222f0cf7, 0x0bc35438, 0x606f0258, 0x467df292, 0xbe4ba0f4, 0xf82dd5e4, 0x4c848f5c,
+    0xcc48265b, 0xe3cef75c, 0xd3c27ec0, 0xb11dcbfc, 0x44cba31c, 0xb118db42, 0x1b2c761a, 0x721f7368,
+    0x1f977f40, 0x0ad27945, 0x8cc3d546, 0x6b0bddff, 0x144e0dd2, 0x7506b325, 0xe70a1340, 0x72b93c0a,
+    0x1b7e45fe, 0x50ca3d05, 0x0c69f76f, 0xb5724196, 0x97fff319, 0xdfc22060, 0xf0ceb97e, 0x6adf3e98,
+    0xfeb3a2c1, 0x0562bad7, 0x6c340792, 0x85a32524, 0x74228c8f, 0x8e033644, 0x2337c544, 0x7dd34fc7,
+    0x9af06ba6, 0xe11f85a2, 0xc7f388ad, 0x248604a0, 0x15b723ce, 0x8eed7a58, 0x5ee0361e, 0x6598f5d0,
+    0x7625713a, 0x32914d92, 0x92f0eec9, 0x703719de, 0x943a6a33, 0x3783cfc0, 0xfff26ce9, 0xd882146e,
+    0x3e8f4598, 0xcc6c1550, 0xc2b9b655, 0x80ee534e, 0xb7bc63ed, 0x7bb7ac1e, 0xe448d7c7, 0xd526cfde,
+    0x7bc7db8f, 0x97696912, 0x51f96f48, 0x5a06262c, 0x9e45cfce, 0x5c122113, 0x77ee7e18, 0xf7927c7f,
+    0xab59db1f, 0x03f53c6f, 0x7d9de8c1, 0x63335adb, 0x074d0a4f, 0x72f3aed9, 0x65a167c3, 0xe4b86749,
+    0x1abaae5a, 0xa967f791, 0xfe2da3c6, 0xeb8ae01e, 0xcef07e4d, 0x69ed67e2, 0x4a4dd2c9, 0x81fe64ec,
+    0xd889ba3b, 0xfb58d5d3, 0x64a4a34b, 0x12df2f39, 0x692e6fec, 0x45bee48d, 0x39862968, 0x3512cd87,
+    0x602c7b59, 0x5dafff00, 0xeb34568e, 0x74d2e51b, 0x62a0d911, 0x18cb6bd2, 0xe024f0f0, 0x1718bf58,
+    0x93e0d644, 0x1252eb75, 0x7037289e, 0x4d845410, 0x3e79fca5, 0xa5b52b93, 0xc9549b6b, 0x5f1de4ba,
+    0x4b960934, 0xd8c89937, 0x81c94337, 0x6b784b6e, 0x16807a36, 0x4dfecbcc, 0x74412de8, 0x74624caa,
+    0x7344efef, 0x1257fe9a, 0xbc11a660, 0xd93ff2b1, 0x77cbd032, 0x10e91761, 0xf8f07ce0, 0xef36a78a,
+    0x9a8921aa, 0x06b0057c, 0xfa8cb58c, 0x88d3e1f8, 0x891d9f11, 0xac290929, 0x7079cfb6, 0x11f1549e,
+    0xfe926231, 0xda7719d2, 0x080c4854, 0x5b63d01c, 0x7c6f4b84, 0x78fb0185, 0x8b958f32, 0x80e363dd,
+    0xa350646a, 0x562bb2a5, 0x4df1c299, 0x8ac9182e, 0x58cd8056, 0x75c6c9f5, 0x6b148650, 0x710e429e,
+    0x7efedfce, 0x9a875e7e, 0xb01aadd2, 0x704e8763, 0x9c673ed6, 0x2d93c7a8, 0x11b02343, 0xa7b4cf7e,
+    0xb23f41b1, 0xd75fc3d9, 0x5d94aa23, 0xc045e515, 0x8009c863, 0x4967c8ed, 0x10499e62, 0xabc9ca6f,
+    0x5cc167a1, 0x7bd431b5, 0xf58acfe5, 0x6d127efe, 0xbc9ce5d7, 0x08370ed4, 0xe8f4106a, 0x323ea33d,
+    0x620843e3, 0x189c2c8a, 0x0ace7e45, 0x568276b6, 0x5d36c5d2, 0xd1b8a72c, 0x9ee49f95, 0xd1c4cb58,
+    0xa5bbdbc7, 0x719a7904, 0xd44b080c, 0x89dd3157, 0xc7ab478a, 0x6248dcb1, 0xf1f51ae2, 0xdcbf1200,
+    0xcc9990bc, 0xc2febfde, 0xa327d80e, 0x390caf0f, 0x937db5bc, 0x59d10737, 0xb7f70706, 0x0c9bf2df,
+    0xbd977b97, 0xb52abdb8, 0x8bc77f43, 0x90c2ec45, 0xb2e9f1f0, 0x36813d86, 0x891bb900, 0x00e13c3a,
+    0xd6a656da, 0x99175bc9, 0x12285f9d, 0xeb65faa5, 0xe85046cd, 0x7389477e, 0x4e98e8f2, 0x1847694d,
+    0xc6af0638, 0xa814d6dc, 0xfa7c0b17, 0xf91afcf4, 0xaa51d9dc, 0x4cae02bb, 0x229b7b25, 0x33a54ba1,
+    0x34f3cbe5, 0x2fab5971, 0xc4d57b23, 0xe411ec7a, 0x2af986c4, 0xb448b72c, 0xdee928d8, 0x33ec3445,
+    0x625755a8, 0xc5012431, 0x1669a08c, 0x4df30a45, 0xd66aa25b, 0x408c89d3, 0x75fcc265, 0xee8dc80e,
+    0x6efdb520, 0x55f1e475, 0x44be8733, 0x84206561, 0x2d30b9bc, 0x48cff367, 0x7d4be395, 0x73ad5b32,
+    0x5fe15962, 0x190232d4, 0x63f954cf, 0xa1cd6d5f, 0xfc75481a, 0xa44c4735, 0x854ff251, 0x6778bfbc,
+    0x36d85d93, 0xd240bea8, 0xe257c9a3, 0x8a090f5b, 0xd4649ca2, 0x7db32054, 0x4e4bc008, 0xa705d893,
+    0x16bb950a, 0x67eb57c4, 0x3a1bce84, 0xf1586a46, 0x9923ce40, 0x2f807066, 0x939778b1, 0x04ad894d,
+    0x67d47189, 0x723594e7, 0x6169d8ae, 0x5315c4c8, 0x16ce8735, 0xe07ad523, 0xb91c4f9f, 0xf9baede5,
+    0x091b744d, 0x50f7c3cd, 0x024c5d52, 0x85bc26c3, 0xcdd083aa, 0x6d23fe80, 0x0cf5bea3, 0xdad0e799,
+    0xf9e584d2, 0xbfbaddec, 0x6ffaa976, 0x075ab0f5, 0x4aefbb9f, 0x92ebe520, 0xb301e13c, 0x6b4f24c8,
+    0x564f6817, 0xd954de8d, 0xc80d3d5e, 0xacab03cd, 0x186fe94a, 0xff70f454, 0x7cea3a4b, 0x284016ae,
+    0xa77d3a7d, 0x725b812c, 0x38e8a895, 0xa46fd2d7, 0xe89c7ecd, 0x65110b83, 0x99db05c7, 0x6ef54468,
+    0x947b074f, 0x95900225, 0xe130c867, 0xc6fd168b, 0xd82416f6, 0x55462073, 0xc4cada2e, 0x833ce585,
+    0x53c5517c, 0xb204e711, 0x68725c50, 0xd43a96a1, 0x3d5b3a65, 0xa0432c07, 0x6f8c816f, 0x4f47ee97,
+    0x6af419f2, 0xdc64fe65, 0xcc9756fe, 0x4a77da4b, 0xe46e7e1b, 0x6293a330, 0x825ea13c, 0xe24780d5,
+    0x446c1cb8, 0x7b6c0e3c, 0xf5e28ab0, 0x196b22b3, 0x0f397ec3, 0xb1602726, 0x458cf8c9, 0xe337082f,
+    0x1968c7c2, 0xd6fdf73f, 0x5b9e9a88, 0xd6f28dde, 0x903502a7, 0xb8508895, 0xf56adf74, 0x55f0cdd5,
+    0xb76868e6, 0xa4516914, 0xd935cd33, 0xd0669c2e, 0x08d57abd, 0x56c148f6, 0xf4c0212c, 0xf4974a41,
+    0x597ea69a, 0xa15d6ccf, 0xdb0c461b, 0x638dd78f, 0xc6ab24e2, 0xff96a406, 0x7edab6e9, 0xb67b6dee,
+    0x690b96c6, 0xc76570ef, 0x57b9fbbe, 0xec4bef11, 0x26ea78f0, 0xcef07b1a, 0x062b33b8, 0xd61096ea,
+    0xa451ce96, 0x9dbe7c27, 0x5a2da3c4, 0x90e1dd15, 0x7c318a6a, 0x793783ec, 0xb326c5ac, 0xab3cb9fc,
+    0xf2b53343, 0xa5776c55, 0xc2728394, 0x796fb3e7, 0x02a7a9db, 0x59bb6e1a, 0x34803f51, 0xdf2bea1d,
+    0x80c26f9a, 0x822fd62f, 0x8cd94992, 0xd27b868a, 0x4e7a9d7d, 0xda49baa4, 0x90a539e1, 0x34b94eca,
+    0xef61f46b, 0xd2e8c511, 0x7c69f3c4, 0xfc7ab86d, 0x3efdf37d, 0x1c2f8eea, 0x7bd0cfa6, 0x062b9d46,
+    0x4c8c472a, 0x91e6618e, 0xfd77fc98, 0x90dc7f00, 0x5ff970af, 0x9838149b, 0x6f293621, 0x56a27ddc,
+    0x4f9d3f45, 0xd617ee88, 0xd791660d, 0x48016d12, 0xc352753e, 0xdfefdbb8, 0x4ce46fcd, 0x10b0436a,
+    0x3571268d, 0x1d520d97, 0x152eee9c, 0x63b49e35, 0xf9a58804, 0xb3bf2bd0, 0x6df860b5, 0x3e69f33a,
+    0xa06b81fb, 0x1c7689ec, 0x8885e0c6, 0x243c7ffc, 0xc401d7d0, 0xee4df415, 0x932ca159, 0xc5d117e5,
+    0x0d190480, 0xc4cf32cb, 0xf6664c77, 0x05a0adb6, 0x5b510086, 0x0fe86d32, 0xbb2c0266, 0x7911c582,
+    0x00b4a7f4, 0x866c121e, 0x7b877e09, 0xe190d592, 0x29a5db26, 0xf3eef079, 0xb00077ee, 0x3c3cd487,
+    0x6d9369ba, 0x860088fd, 0x1cdcb623, 0xb65b42bb, 0xf7ddddfd, 0x2ad9e647, 0x911098aa, 0x8fd11ab5,
+    0x54044c7e, 0x898e2abe, 0x154c82e9, 0x953d8557, 0x9bc965b1, 0x491c9804, 0xba64909e, 0x6549df12,
+    0x17c938c3, 0xc6c70685, 0x9049c3bb, 0x8e862c9f, 0x80a275e8, 0x4452a599, 0x03cdf3ff, 0x10a40ac4,
+    0x175dcf92, 0xa802452c, 0xdce9ab19, 0x7f1de81a, 0x5b4c896c, 0xc3e343fd, 0xcdf65743, 0x0621fe42,
+    0x21275299, 0xac7f9ca7, 0x5a15fd5f, 0xbbea4791, 0xd7425d77, 0x3613943e, 0x5e820491, 0x3d22d24a,
+    0x45a140b5, 0xa739a207, 0x95eb04a9, 0x0149ef91, 0xbf0f0246, 0x488d8aa1, 0xd31307f6, 0x2edae525,
+    0x4bd4962a, 0x52f5864e, 0x80047774, 0xa3d123ee, 0xe3e6f0ab, 0xab895871, 0x605fae85, 0x42e02163,
+    0xeefafc83, 0x91db8aa4, 0x03517a8b, 0xc8abb120, 0x820bf6e9, 0x9a5c5bcf, 0x97648a1b, 0xb21daabb,
+    0xcb7b97fd, 0xa79c4fbf, 0x0885c546, 0x577f43a5, 0xb32f552d, 0xeb635916, 0x5fe1fc01, 0x3dcc4bd9,
+    0x7a4ce699, 0xa954a013, 0x95fe46fa, 0x5dc0697e, 0xe07ee65a, 0x4f26eba5, 0x629e721a, 0x45d8f0b8,
+    0x42b069b0, 0x47726840, 0xf6574b17, 0xb76e56f1, 0x7669a2b3, 0x0b7dd65d, 0x2387680c, 0x8f5f34ff,
+    0x0c20b63d, 0x501d7cae, 0xdf9bdc81, 0x25b62318, 0xe443f3ba, 0x165af2fb, 0x75cdb09f, 0x2d2999bc,
+    0x7265f65f, 0xe73f8efc, 0x6e2bd4ea, 0x253dfbcd, 0x3f73a4e5, 0x59211c05, 0x7db54155, 0x1d8f3d35,
+    0x00000000 }, /* 10**-00000000000000000000014196068833898572081041480622812588561594557825924180864\
+                          87285545274686109596480318996466895925319463985864300012238628776434768805888 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52,
+    0xb16e4953, 0x7f7d187a, 0x62f99af0, 0x21622ae0, 0xc5c1db41, 0x549c52f4, 0x29ebca11, 0xb7fa9a34,
+    0x00000000,
+    0xcb7964f5, 0x8c981b99, 0x02fd487f, 0xb87d0bbd, 0x91f8c155, 0x987538e6, 0x58ee1939, 0xe2bcec68,
+    0x0d676247, 0x8db3a605, 0xafa26eec, 0xc2b747ac, 0xa13417d9, 0xfa047c87, 0x8b3fd45c, 0x2eeb334e,
+    0xa6dfe90d, 0x446060fc, 0xccc69b96, 0x2ab4e592, 0xe68d9a7b, 0x0d218a41, 0xa703a50e, 0x6f1a5e06,
+    0x9aceaee5, 0xfca9d1b0, 0xf7cf2e0d, 0x80e920bb, 0x29ebbdea, 0xee17d59d, 0x72580aa8, 0x758e3681,
+    0x90cdbb4d, 0x6fd31514, 0xe69c640f, 0x2178aac8, 0x12291229, 0x4f99d5e1, 0x4a440c00, 0xc27d4c70,
+    0xa4984762, 0x095dc79c, 0x9d3aeaef, 0x33f66778, 0x41e8372a, 0xc2664d7d, 0xca68496e, 0x0b9afc33,
+    0x107f9e4c, 0x91f1fc15, 0xdd3fced9, 0x736698e2, 0xe80fa2c6, 0xd29202e7, 0xe6048eb6, 0x0404be88,
+    0xeabb2d6e, 0x52ae71fe, 0xa26728bd, 0x074bc4cf, 0x629dc121, 0x47cae113, 0xca3fbc63, 0xc397a6fd,
+    0x798048be, 0x22115102, 0xb08f6726, 0x40ec6b43, 0x085880a2, 0xa08240f9, 0x1403959c, 0x65e715b4,
+    0xb65d75a9, 0x9518a3c8, 0xb8581269, 0x747b8919, 0x93f12040, 0xe01020f9, 0x0d370f5b, 0xa08c272e,
+    0xb03f7b84, 0x73d1ae75, 0x5ad1fa37, 0x5e4f4778, 0x0497ea59, 0x5d0db9b6, 0x6229f3c6, 0x6f7c092f,
+    0xa59a6c43, 0x2c1aa836, 0x4bf1f05f, 0x009fe084, 0x50157dbf, 0x8601362a, 0x858eec4d, 0xab181c20,
+    0x597f392f, 0xb86bffab, 0x590858a4, 0xc1eefc2c, 0x6363a442, 0x0680152d, 0x84028071, 0xda4a3c63,
+    0x94192dd7, 0x87b0f66e, 0x7fad9bb1, 0x22c34762, 0xc0860205, 0xc181b8fa, 0x7260d9b5, 0x8b4b14e0,
+    0xa7d464a9, 0x631986d1, 0x345548d9, 0x9a05c528, 0xd286c4c6, 0xe26a4551, 0x7a2e1d37, 0x1cf06d93,
+    0x643404e7, 0x95ce269a, 0x53b85dae, 0x19840e8c, 0x5620cb71, 0xdff8a5a2, 0xed238b4c, 0x0a99b2fa,
+    0x2468ac13, 0x16e40d0b, 0x6cab2fb3, 0x8c308590, 0x663c5a15, 0x1de759f3, 0xad06535c, 0x86c60d8a,
+    0x0de8b61d, 0x7aa248d9, 0x5f021fe2, 0x2a5c85a3, 0xdf67aa59, 0xad673fc3, 0x2955e83d, 0xd4d1ee18,
+    0xc112ca6f, 0xb9b46123, 0xa6f11c8c, 0xa30c335d, 0x52b1d882, 0xb1c0a8ee, 0x4cf69392, 0x3008d292,
+    0x8c02acdb, 0x67c56e62, 0x2c0bb338, 0x1c59ae51, 0x7920608b, 0x6454faed, 0x2f39af1a, 0xa64d8a25,
+    0xb44cfcb3, 0x484fad0f, 0x2eadb1b0, 0x64740c81, 0xa79cc9b8, 0x709d5f2b, 0x38d6bc73, 0xc9e2fe61,
+    0x74c0c658, 0x80d33187, 0xea1c5752, 0x1d212843, 0xcd14c99e, 0x458fceaf, 0x96cafa2b, 0x8c4842f1,
+    0x4a926e53, 0x71d85c27, 0x384ec83f, 0x05a9577a, 0xa6ce7816, 0xebc268bc, 0x7bebb148, 0xc8ebbe27,
+    0x5a6af20c, 0x53dbbb4a, 0xe060559b, 0xfb52659c, 0x58b756f3, 0xd6aa02a6, 0x69aee493, 0x9be27729,
+    0xc83f121d, 0xb741bca9, 0x252c67a9, 0x0962ce4c, 0xdb6d6611, 0xffc1a317, 0x63ed6e46, 0x87c704e1,
+    0x1ce4c3ab, 0x1f90a97a, 0xcb82ed9a, 0xde153b4b, 0xc1590176, 0x39271ef9, 0x4a95e309, 0x5bcdfdb8,
+    0xfcf26db4, 0xc708f0a3, 0x8c7f5620, 0xbbfa1d48, 0x7a19b6fc, 0x43c1796f, 0x76ac5931, 0x7d099120,
+    0xff49f0cb, 0xa936884d, 0xd836eddc, 0x58caebf0, 0x3cbb0c30, 0xa4ba9ca2, 0x75c6328b, 0xf53ae1cc,
+    0x4a96bed2, 0xb8b43f99, 0x73a92a62, 0x85ea40a9, 0xc322bab2, 0x9d433427, 0xe557f9b7, 0xadf2ea10,
+    0x4b3e3074, 0xa13223db, 0x4851cc40, 0xb64e7dfc, 0x3db325ca, 0xf8b5cb6a, 0xeec1bb3b, 0xdc994e2c,
+    0xb85f020c, 0x1db02d3c, 0xdbe02908, 0xa20e6ecc, 0xdc7fe325, 0x916e991c, 0x410d186b, 0x5aa90f61,
+    0xc60b5b62, 0xf525afab, 0x416782a4, 0xe73e7998, 0x9b4a3b7f, 0xcfa4f6df, 0x98302775, 0xc48cf760,
+    0x91198b55, 0xec2ae4c4, 0xc78ee73c, 0x48ccf237, 0x78879e22, 0x380d87be, 0xa7a478cd, 0xc1d39753,
+    0x114bec82, 0x494424f1, 0xded73f6b, 0x4ced0472, 0x5747224e, 0x78c7132b, 0xe3aa7e52, 0xfe4ca155,
+    0x7d68b083, 0x7ad79a6d, 0x9267be7b, 0x9ed99610, 0xfccb0ca8, 0xaf75cbee, 0x72ab37a0, 0x6999d0a9,
+    0x48dd65ac, 0x3ad90d2f, 0x29b5e2cf, 0x125c5027, 0xae0b1b54, 0x72cbdbd4, 0xf05dd2de, 0xecf1d838,
+    0x51a64f37, 0x7a5f8c10, 0x54affcf0, 0x918cb3ec, 0x17a20325, 0x85aa9367, 0x0defb132, 0x1cf7ea64,
+    0x4b254c29, 0xe958cf16, 0xcbdf6fb2, 0xfbdd9b71, 0x367767b9, 0x5122b00f, 0x5eda9f87, 0xca428527,
+    0x2948c6f2, 0x762e5305, 0xe96b426a, 0xee26cad1, 0x9e488894, 0x7a2f717e, 0xeb45ae4b, 0xb83eabeb,
+    0xa52e36f7, 0xdaa9e763, 0xd77463f1, 0x34ba85bd, 0xe9925432, 0x99262e64, 0x302b8325, 0x0bd5d26d,
+    0x7dd8e7a0, 0xcf00bbb7, 0x5c8f33ee, 0x6f2e351b, 0x6ee775c6, 0xfffb38b7, 0xee4d7190, 0x1f4f1b32,
+    0x7124f663, 0x96a1c705, 0x3ed25e00, 0xd181e957, 0xb205db71, 0x0f0cbe5a, 0x5d165c33, 0x7104ce0c,
+    0x096a8296, 0x74f1b1d6, 0x7bd52c55, 0x2bb46039, 0xc74baaaf, 0xe801cbe8, 0x631da0b4, 0xa605786c,
+    0xcb70ea13, 0x7ed8227a, 0x2296b791, 0x4918f9ef, 0x8a95bb85, 0x7f79027a, 0x3b371be0, 0x07842677,
+    0x5488771b, 0x61b4d4ca, 0x222d5623, 0xc6737422, 0x00848a70, 0x345dea3f, 0xca9c4b79, 0xfdfcec00,
+    0x981c9aa5, 0xa32b1155, 0x54bc6c1b, 0x90e58913, 0xae05dca2, 0x560d144a, 0xe04fa0fe, 0x882c4c9c,
+    0x8735b4d9, 0xfa6ccc14, 0x2fa487c9, 0x0727f53a, 0x4235a2e5, 0x3f8114b0, 0x86c0abfd, 0x94f3e780,
+    0x5f81e9bd, 0x351b56df, 0x8aacc052, 0x0066a842, 0x2e4e3e30, 0xfd417f37, 0xe563790f, 0x60bc87cb,
+    0xcd412511, 0xcc84b1b6, 0xa7ead225, 0xf60d82d9, 0x197f4180, 0x5e75f3ec, 0x5bca752c, 0x8f3df4b1,
+    0xd4857b42, 0x2ae671cb, 0xa1ba4ab4, 0xf97c83dc, 0x98a56995, 0xbb229fc7, 0x8473a19d, 0x07404673,
+    0x1b1c2acc, 0x30d8b183, 0x6309c0c1, 0x0b7fd824, 0x6e103828, 0x69214c6b, 0x44c123a8, 0x3a0db47d,
+    0x5ccad75b, 0xff132b67, 0x27e0b130, 0x62eec176, 0x15db56a0, 0x3cd5b7cf, 0xa65f6a51, 0x2fccd2f4,
+    0xec9b458c, 0xa4381543, 0xec8bbb6a, 0xa6b0e2c3, 0xdfa3f141, 0x799e204e, 0x96286753, 0x598c0368,
+    0xe18c3439, 0xd5ec7d5f, 0x293fdde7, 0x89d307bd, 0x62a1752b, 0x0312065c, 0xbb34e332, 0x01ba0138,
+    0x39acb9c2, 0xaf086d40, 0x00980944, 0x77fad1b8, 0xc9dd6e01, 0x866b452e, 0xb5969209, 0x39f51450,
+    0xb619b382, 0x53babd99, 0xf078a8d4, 0x47afeb63, 0x6352d2ca, 0xefbe4827, 0x6684d333, 0x45a49f1c,
+    0xfbd0ff09, 0x06afc023, 0xa583e49a, 0x41f1a792, 0xc772e56d, 0x7f10b06e, 0x329cc6a0, 0xe64ec42f,
+    0x9ba05e94, 0xe0b51a4d, 0xd1c4821d, 0xe90e7248, 0x4fcb48eb, 0x0a04919f, 0x115c73a3, 0x99c8c31f,
+    0xe8b934e5, 0x84e0fa40, 0x82ddd22d, 0xe537e194, 0xe42e5fb5, 0xac95cb8a, 0x00928041, 0x6bb00c66,
+    0xeb980bd6, 0xed4120bf, 0x68c8dd25, 0x4dba4566, 0x157ec195, 0xa9172a5f, 0xfe00a4d8, 0xbf1a9612,
+    0x27f03561, 0xa15e9e66, 0x1745b5e0, 0x75f70aea, 0xd2539acc, 0x975e1a6e, 0xc39fc53f, 0xf7c6a9e0,
+    0x090770e5, 0xfbc5f020, 0x35c6ad0c, 0x11c93d46, 0x34fbfa2b, 0xfa682e6d, 0x1ac2012b, 0x1ab91fc2,
+    0x030d330e, 0xcbfa38f8, 0xa3810c9b, 0xa6048a14, 0xed157988, 0x725a1b2c, 0xb2d5247a, 0x21183ef7,
+    0x75633656, 0x9d05018d, 0x4783e74d, 0x69fb3373, 0x996c0c5a, 0x8d6be51a, 0xb7f3384a, 0x73bbc7a0,
+    0xce9e95d4, 0xd87b83a6, 0xf17c81f2, 0x0affe72b, 0x6ade5460, 0x8ae11749, 0xdb443010, 0x68235b24,
+    0x665b262a, 0x6711700d, 0xe2d62afa, 0x0ac7e492, 0x9041dbee, 0xd2e88770, 0xbd2ca7e5, 0x55eb6642,
+    0xa4586694, 0xdfa3b4a8, 0x09b9788a, 0xf0888806, 0xdba62418, 0x58ff6e87, 0x0285c374, 0xd913d8f7,
+    0x90df4dba, 0x4eb62245, 0x95252fe8, 0xcf8d17b8, 0x3ee3ad03, 0xbf5d02a8, 0x65ab2a19, 0x69605efe,
+    0x5639007d, 0x30f39da2, 0xd39fe531, 0x4505b1d7, 0x7372411f, 0x6113738a, 0xae9d731c, 0x7ea30c85,
+    0x5434de02, 0x217aa5ff, 0xd200400e, 0x100bc8fb, 0x0715fd9e, 0xb6708290, 0x1d935ce9, 0x535b141c,
+    0x15de027e, 0x8a4a396a, 0x9626e837, 0x7bee6d6b, 0x86f65343, 0x968e1159, 0x9cb34840, 0x030631f0,
+    0xb12ad349, 0x4c679b52, 0x5251a0ba, 0x36476c73, 0x50b164f3, 0xc53ba298, 0xa02c0bf5, 0x65809752,
+    0x297becab, 0x6ab6ff21, 0x36f83b16, 0x829df9dd, 0x6bc0097b, 0x47255b72, 0x05077c2c, 0x9ad55060,
+    0xe2cd8a8f, 0x76a396f1, 0x8333b6c0, 0x9965bf20, 0x5be0e759, 0xf23b691a, 0x63f7e1e9, 0xdde35f9b,
+    0xd6e17c0a, 0xa6b138bf, 0xb41c2b8f, 0x0d8927b5, 0xccfcfe75, 0x63df6ee2, 0xf129e483, 0x4dd3dd10,
+    0x76209a53, 0x0593c0b8, 0x54ee7f24, 0x34e77cb6, 0x9865e677, 0xdb896340, 0xc5f7755d, 0x3aaa8996,
+    0x0cf3f480, 0x9977df97, 0x6751af1c, 0x9f72e79c, 0xc4c84623, 0x94168e16, 0xe2e49d0d, 0x0caa195e,
+    0xc9cb06fd, 0x8f69ed50, 0x5bd7ea80, 0x0582939e, 0x5e559a20, 0xc7d25db2, 0xe342a0ab, 0xfa3db806,
+    0x0ba3ced2, 0xf6fe9f52, 0x9d98ae0d, 0xbed0941f, 0xebcad81c, 0x4ee6fba7, 0x4a457ad5, 0xb3d1b62c,
+    0x05945485, 0x45394195, 0x164f2697, 0x514d3baf, 0x9dc642fc, 0x48920011, 0x80353079, 0xeace445b,
+    0x16b2fac0, 0x5bcaf3b1, 0xd0dbe5d4, 0xdf6490ba, 0xe15f0d00, 0xc220b8de, 0xccc71f17, 0x7854d695,
+    0x15661131, 0xa4b985f8, 0x2a16ec2f, 0x252c2202, 0x491a8557, 0xaf3b3d7c, 0xac8d4720, 0x7df8c6c3,
+    0xf29dfd81, 0x4b0166da, 0x9bef9e4b, 0xf4740873, 0xc8b2f6a4, 0xe055933d, 0x9a7a23cd, 0xfc2a4ced,
+    0xe213f14c, 0x203189cd, 0x898a3708, 0x4db51368, 0x6dcd2da2, 0x6825b523, 0x57986cf1, 0xc8654ad4,
+    0x87d9ebb5, 0x5cd7d630, 0x78d62b1b, 0xf12e71f7, 0xb2808e59, 0x7fdab330, 0x118ea536, 0xdbcc093e,
+    0x989d7a35, 0x305f0e8e, 0x08fd8d3b, 0x953fc765, 0x6175cd5a, 0xc6e561d1, 0xdcd80f6d, 0x66c9c5c9,
+    0xbe9f0ab8, 0x253e364e, 0x326751c7, 0xdbe81ea7, 0x1d6e86ac, 0xae813d72, 0x7f99c990, 0x2bbef634,
+    0x76ca913a, 0x01e59657, 0xfb7fbf8f, 0x0439ce4e, 0x57ff4d0a, 0xa81e1874, 0x67165ab1, 0x59d601dc,
+    0x73f15b30, 0xf9b7c653, 0x94c7fd8d, 0x010be696, 0x054ec498, 0x824d05d5, 0x270007be, 0x4e5a5783,
+    0x0ca8a8c2, 0x4125972f, 0x64b3d9fb, 0x0e0333ba, 0xf71cd4be, 0x2b5a45d1, 0x13aa42a7, 0xe587255b,
+    0x614a88b7, 0x3a78daff, 0xcd72baaa, 0xc2d5cdde, 0x7fa694a5, 0xdce8f80d, 0xcacfc9d9, 0x63f079ef,
+    0x243fb42f, 0x4754bc29, 0x0073a2fa, 0x190e0bb8, 0x54eb9de0, 0xa21f7484, 0x8247e43e, 0x98c493bf,
+    0x6bf116e5, 0xb3e2c42d, 0x213fd327, 0x4e27d860, 0xc8b401f5, 0x4dcfd2fd, 0xf7c430e1, 0x6bdb237d,
+    0x5a26046f, 0xd578cd9f, 0x6dcd0ef8, 0x028b9501, 0x5043adb3, 0xcab17bcc, 0x0a849964, 0x0c6ae6b9,
+    0x2d51b1b7, 0xb0a0f9d9, 0x921fe6c6, 0x40d51dce, 0x41552461, 0xe38927e2, 0x9ab6b50b, 0x00fde35d,
+    0x7af8326a, 0x97a12b32, 0xdbf6cede, 0x80d74fac, 0x46a37dac, 0xc8b6c063, 0xbd46085f, 0x1139f57d,
+    0xb756ffc3, 0x4dc11f69, 0x2ab8a599, 0x743896ad, 0x3f7c7f8d, 0x43ca30c8, 0xad5f0e99, 0xb57a8377,
+    0xb6e8a99f, 0x13a93293, 0x58368edd, 0x92add1a4, 0xec92626c, 0xe4f7255b, 0xda033597, 0xcbe5826d,
+    0x34638977, 0xbad20f10, 0x9612237c, 0x7110e528, 0x4d796dce, 0xf2e9693a, 0x7f4bfdd7, 0x2d2d7b9f,
+    0x535daa23, 0xbb79a609, 0xbcfa6877, 0x3c4d6ffd, 0x3ab20592, 0x7d075704, 0x9960ac75, 0x8d2a15d1,
+    0xa9b2cf87, 0xb588a975, 0xaff4f532, 0xe42757ae, 0xb6b6ca3e, 0xe1c1c95e, 0x30a965cc, 0x8f621807,
+    0xc6674cf1, 0x08106286, 0x79b005c2, 0x26406077, 0x80884276, 0xc6697db2, 0xba5eb772, 0x65d2c4ab,
+    0xe1389127, 0xe50493d7, 0xfca2d71b, 0x309f1822, 0xa310f7e2, 0x8a41cbfa, 0x7f3e334d, 0x18a81122,
+    0x94651b95, 0x200c58c9, 0x1d6474a1, 0x14772f09, 0xfdbeec91, 0x0179d8c1, 0x5928d4c3, 0x0269dccf,
+    0x10c54b4c, 0xa2927711, 0x9eaebfd3, 0x24fb83fd, 0x3f3d0cab, 0x866bd227, 0xfc118a1e, 0xf74ad901,
+    0x3cc83430, 0xa2cd2aa6, 0x609697bd, 0xdbfdbecf, 0x02f17c8c, 0xb9527856, 0x1b91a874, 0x65dbe8a4,
+    0xca7034fe, 0x67d12352, 0x57b66cda, 0x01ebcdf4, 0xf6eaf3e6, 0x8625c787, 0x14dcc76b, 0x2e9fa442,
+    0x0cefee0d, 0x0b2aa159, 0xad9bae7d, 0x075dffb2, 0xa42940f7, 0xddc1f53e, 0x050c4807, 0x6abb992d,
+    0x28d0b092, 0x17cde062, 0xe7c579f8, 0x1debca1f, 0x163367e5, 0x2a92c0e3, 0x353082b8, 0xcc37e800,
+    0x1686886f, 0x3c1a1ad3, 0x45bfb7a5, 0xf14076b6, 0x5acd0baf, 0xf825ae1d, 0xef0dddc5, 0xef7dc234,
+    0xd6cb3f77, 0x363e5396, 0xa35dc680, 0x9568bf8f, 0x2c336fad, 0x06be1ae6, 0x359617ca, 0x3442aa8d,
+    0x4c6bc2fc, 0xf865aaa0, 0x64b40197, 0x998f9aa6, 0xba41c347, 0x3bb2ba3c, 0x0121ee64, 0x66c9c8e5,
+    0x126bf764, 0x1e1850fd, 0x7aa0b289, 0xb5c4d43b, 0x785a78f0, 0xb01b644e, 0xb76f7e3a, 0x1ca9e6be,
+    0xae3c29c2, 0x03c624fd, 0x3a5049fe, 0xe64c7692, 0x1d0d46f1, 0xbd6138e2, 0xd27305c3, 0xe646f38f,
+    0x8222269d, 0x56f60f97, 0x375d2fa7, 0xf985b5f2, 0xaedc85e6, 0x0d0d810c, 0xcfd0ce91, 0x67c03f1b,
+    0xaf2971f5, 0xbcd2a645, 0xa24aa63c, 0x7f9255d2, 0x1ed2dfa4, 0x38c4e746, 0xc564448c, 0x152f496f,
+    0x2f9207de, 0xde86e790, 0x419f4313, 0xa0191a78, 0x62e8fa1f, 0xe9dd2648, 0x5bd7d46f, 0x8973b588,
+    0xef33e2a4, 0x8179a7df, 0x78b635f6, 0xff41713c, 0x032e0910, 0x1bf31b23, 0x65ab08a3, 0xc301bf21,
+    0x6308f828, 0x3af53d31, 0xfd6e9ef4, 0xa5f405d0, 0x91b53356, 0xdd680fe9, 0x70d4431a, 0x0bca80b8,
+    0xa49f2910, 0xa00cd73d, 0xde3c2763, 0x0ca25d10, 0x2f1d887a, 0xee2a4779, 0x71d68f10, 0x942623e0,
+    0x5bdfc7b2, 0xf59a5f9f, 0x782299b3, 0xd7cb8803, 0x9d60f079, 0x9ef83bf1, 0xdfe0b47c, 0xab5b0a5a,
+    0x476fe416, 0xc5b84838, 0xb1e90f59, 0xd27a1f30, 0x15e476a0, 0xeda6210d, 0x7980156f, 0xac3d40b6,
+    0x2fac7d6c, 0x6a4324c5, 0xc0f77a61, 0xc7cfbf8a, 0x51dc631e, 0x1879ab33, 0x601c1dbe, 0xe1fa2b06,
+    0xb524f729, 0x37b1d863, 0x19d5b22d, 0x4e89bbba, 0x915c648d, 0xcaf3692c, 0x5327190c, 0xce5001bf,
+    0x4b587632, 0x6172a7f8, 0x358970be, 0xe25fc641, 0x96f71fb2, 0xe4a2598d, 0x459b3690, 0xceaa4ab9,
+    0x1cb3af28, 0x91cfe9b6, 0xc178bdda, 0x95e91044, 0x4fd1a639, 0xfa935ffc, 0xfcc1e7e1, 0x0434765f,
+    0x00000000 }, /* 10**-00000000000000000000007098034416949286040520740311406294280797278912962090432\
+                          43642772637343054798240159498233447962659731992932150006119314388217384402944 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629,
+    0x58b724a9, 0xbfbe8c3d, 0x317ccd78, 0x10b11570, 0x62e0eda0, 0xaa4e297a, 0x14f5e508, 0xdbfd4d19,
+    0x00000000,
+    0xe43b2389, 0x111ce2ed, 0x94fa56d7, 0x787599e8, 0xd676f490, 0x17380da0, 0x69aec9e1, 0x14ba1b2b,
+    0x4bb7e550, 0x60332c35, 0xd57b97f8, 0x9d5ce6fa, 0x36d06da3, 0x29eb81fb, 0xdb470779, 0xa23cf8f3,
+    0xc4cb06c9, 0x016d4a46, 0x84e52e4f, 0xbbe6dc0a, 0x2f693ba7, 0xfafa60a3, 0x1b48ee09, 0xcc688522,
+    0x98928ce9, 0x1d266e8b, 0xba4a1c3a, 0x3d6c2c57, 0xf2ac1899, 0x2f73a99c, 0x4889161e, 0xa1fc6989,
+    0x2d4059f8, 0x4c82db4c, 0xb4a58463, 0x819f08a4, 0xcbc76ce4, 0xc057cab1, 0xfd95b094, 0xe346ec28,
+    0x91787c0d, 0x4ee977c2, 0x26c19fce, 0x55195b9d, 0x71154b6d, 0xd9915fd0, 0x2c340b60, 0x13fb0434,
+    0x188622ab, 0x624bb286, 0x8e7c7e3b, 0x32366828, 0x72ee4ca3, 0xfa3e3e47, 0x1d1728fd, 0x7d37f1db,
+    0x1ae2d052, 0x20631b53, 0xade86e6a, 0x5b740e3b, 0x06801f87, 0xf76882da, 0x5003254c, 0x0c8b8eb0,
+    0xc8bd94a7, 0xec562e7f, 0x02252a2f, 0xba5f058d, 0x6f46e30c, 0x86e22705, 0x7c1463ea, 0x581e694d,
+    0x49302326, 0xf59deade, 0xf21de2e6, 0x219251e1, 0xf7d5bb8c, 0x4437ea18, 0x7b9051c5, 0x12756e23,
+    0xf14f5c52, 0x75cdd256, 0xc84e2b92, 0x717887ee, 0x0c6f32b8, 0x80dbb438, 0x49329c21, 0xf52f512c,
+    0xf65218ff, 0x159f6a43, 0x2fb1075c, 0x5e5980c2, 0x0a61896b, 0x18502e10, 0x36d069a1, 0x5162cb8f,
+    0x49efbb47, 0xab02ca0a, 0x86e7d1eb, 0x717771ae, 0x127c91e8, 0x2beacb8e, 0xfe140db6, 0x6ca95da5,
+    0x8e195c5f, 0xf40bee1c, 0xb92ae174, 0xf6c53f85, 0x56816b52, 0x9590ea8f, 0xe151294b, 0xdb4f0390,
+    0x1839aed6, 0x99fe2239, 0x22703fa9, 0xfff6687d, 0xf9de54c4, 0xef2fd576, 0x85545881, 0x46c3c693,
+    0x9976563e, 0x267dd4ab, 0xd2d95a58, 0x98f2e5f9, 0xccda7f07, 0x16903fcc, 0x7ffaaa1d, 0x9101d5e6,
+    0xcb4cf573, 0xb14fdaf0, 0x9feb344b, 0x004480b2, 0x1c068919, 0x4179ec2a, 0x8c8aac51, 0xcc2318ef,
+    0x1ae998f7, 0xc3005c72, 0x9595e18c, 0xefadb25a, 0x52098fd2, 0xf36fc492, 0x887898cc, 0x0f35df99,
+    0x939808d5, 0x7f1a80fe, 0x62c52ecf, 0xe5c3f9d3, 0x4fdcf1d5, 0xc8cbc47c, 0xe6c56de0, 0xad10ca15,
+    0xf2807b1d, 0xb16ba8db, 0xec1d0f4b, 0x4a9bae1e, 0xdf5422e6, 0xb90bbc33, 0xef8f7d2f, 0x00a95461,
+    0x772b91f5, 0x0cc11c9a, 0x8fd3237f, 0x046cdac2, 0xb408a3e3, 0x6a30e279, 0xd211c3ba, 0xf9a0e3bb,
+    0xbf3abf16, 0x43ec12e6, 0xe5920f35, 0xcf21cf04, 0xdcf8ea5c, 0x8de53b94, 0xb0970314, 0x4cf90f03,
+    0x0dfd14d7, 0xc4c45415, 0xac27cdf6, 0x4232fcbe, 0x9057074d, 0x432977ca, 0xc1d9feb8, 0x8d26c2ae,
+    0x76908546, 0x758c0eb0, 0xe62751c9, 0x556bf76b, 0x8f3aec0a, 0xfe4b4d4f, 0x4bb5b089, 0x2c5cff6e,
+    0x405a2c26, 0x15217a69, 0xd0b6a6b0, 0x761fd6e1, 0xd20806d3, 0xd0a36e9a, 0x24c33d3f, 0x057d145c,
+    0x03f3bb95, 0xd5cff294, 0xfc56c079, 0x7dece95a, 0xc4d14540, 0xf2bd3f11, 0x877f4f45, 0x876a46ca,
+    0x9f4e5af8, 0x33df72fc, 0xffcdc1d3, 0x0fa9a7eb, 0x973decaf, 0x5deb4226, 0x4c3c6110, 0x9364a72e,
+    0x18626398, 0xd6923c15, 0x6f0a314f, 0xd1dfd638, 0x76aaf2e5, 0x12ccd4fe, 0xfbe93b84, 0xefd29fa7,
+    0x6074a23b, 0xa1729d9f, 0xbef8d47d, 0x81f68303, 0x1f316f89, 0xaf8af0cb, 0x90707a86, 0x6c4147d4,
+    0xfa7a8d1c, 0x91ffc8b7, 0xe055896a, 0x74961443, 0x21feef02, 0x91a75983, 0xd72f21f7, 0x8a41f5a8,
+    0xe26be474, 0xb684d86f, 0x7d909fbe, 0x87d1ef63, 0xd41f17df, 0x57d6e5c5, 0x1971d6ad, 0x583871df,
+    0x47c3e41d, 0x2bf3210e, 0x3783c2ef, 0x334d79ee, 0x7185c06b, 0xde8c646f, 0x1dd901c9, 0x04f566bc,
+    0x83b29023, 0x83ec3153, 0x0eb4d270, 0x732b62bf, 0xbb03c110, 0xc6e4fbe2, 0x702e682b, 0xf7df52d3,
+    0x9ac1416a, 0x70308162, 0x47292460, 0x1fb3d9f5, 0x6d8dec14, 0x8eb4338b, 0x2e04bc8c, 0xe8818754,
+    0x82fa73da, 0x57232998, 0xd9c5cd8c, 0xea52d7e2, 0x9248d4f9, 0x250db1ad, 0xb5913b16, 0x5acdb632,
+    0x4f7cd385, 0xa89def59, 0xa4b5c60c, 0xa68901fe, 0x0fcd7df7, 0x4e3d8206, 0xec7a46ce, 0x79d09c2f,
+    0x7983f6ee, 0x9e4af4b8, 0xb805c1c4, 0x29882eb8, 0x894d680c, 0x7cc5d3f2, 0x0fc823d6, 0x71e0a69c,
+    0x34b563b6, 0xae61142f, 0x96677df4, 0x4f5a5d38, 0xc24dd74c, 0x32dce376, 0xc4b68c01, 0x81093190,
+    0x281a392d, 0x410b349c, 0x237e42a8, 0x03c40f26, 0xd89f2ea1, 0x210d557c, 0x79ac4537, 0xaf625634,
+    0xb5c1d9c8, 0x95261ef1, 0x52c03027, 0xe8d69adf, 0x535499aa, 0x2bc20029, 0xdc23ed32, 0xde9d2bb1,
+    0x10d0e206, 0xdf980651, 0xb1a0b29f, 0xba4611a2, 0x7f539396, 0x395b057d, 0xbff0d5b6, 0xbe21d54a,
+    0x0526ee7b, 0xab176e42, 0xa7e75e37, 0x1059e72a, 0x362e0a7a, 0xf53a9339, 0x114117f7, 0x54b4ff66,
+    0xd59d0a56, 0x1be21ae3, 0x45c9efa6, 0xf0ea83aa, 0x727ef3d6, 0xdcc496c9, 0x9f6b84b5, 0x17107eb4,
+    0x9bd540bb, 0x1ff6314f, 0x6da93301, 0x0d84f081, 0x98b9afc3, 0x65b013a7, 0x1aea572b, 0xeb5dfb0b,
+    0x2cb2bcdc, 0x4f41fa02, 0xf2397570, 0x58eea25a, 0x095f598a, 0xc405227f, 0x5095273f, 0xf365a1c6,
+    0xc6a496b6, 0x2c37c180, 0xd87346c3, 0x52a1d2d5, 0x62bb66fe, 0x92972f48, 0x454ae14a, 0x65431689,
+    0x6d5d2d1e, 0xe80f9d99, 0x8cadfab7, 0x861d331d, 0xe284375a, 0x39914fe6, 0xbd4823a6, 0xce9b5bcc,
+    0xea4848cf, 0xeccd92ce, 0x0835b11f, 0x888ea6b3, 0xf3f96ada, 0x24322a63, 0xc6efcb2d, 0x41d804c2,
+    0x9d7b1cce, 0x2ef8753f, 0x0536e5f2, 0x719b9a87, 0xb0624f36, 0x9617e6fd, 0xdfccd401, 0xe5772865,
+    0x99090ea4, 0xb7e7cb7b, 0x2d8316b6, 0x9409bad6, 0x46c80283, 0x67b2810a, 0xe2b02ccb, 0x5fd8880d,
+    0x846e82d9, 0x94d391ec, 0xfd07968a, 0xbc5c62b4, 0xbc5331dc, 0x5023eedc, 0xe7a91f11, 0x659b9832,
+    0x1332bed5, 0x0a736332, 0xe867c8cb, 0x9465f555, 0xa961bf02, 0xcadb150a, 0xd81a7fd9, 0xf8b17586,
+    0x5eabfd44, 0x73a0a1e5, 0xf7dbef9e, 0x8de77364, 0x0aa86afc, 0x0a5fb347, 0x38b7138f, 0x068c51ae,
+    0x0d33afc6, 0xa1c9d61d, 0xdf8f2bf5, 0x0dd5bba8, 0xd212d071, 0x80baaa5e, 0xd68640e3, 0xbff62c89,
+    0x80e53923, 0x5fb6ebed, 0x114386ca, 0x5a1c6d5b, 0xb07a334e, 0xc4eb43e4, 0x1b93b922, 0x46784a84,
+    0x90e4b0b3, 0xb7d538ee, 0xe1023540, 0x2a78d27e, 0x2b8c04c0, 0xefcfe336, 0x53ec6f78, 0x6135ba36,
+    0xff80302c, 0x3e049c2b, 0x5b91d6eb, 0x1bea36d9, 0xce6219f0, 0xc6e05cab, 0x8050e040, 0x73963adf,
+    0x938efadb, 0x76e0a695, 0xaa9ed27e, 0xcc271f76, 0xb8dff34a, 0x565489b7, 0x66333134, 0x8f5a3b59,
+    0x2fc37ae1, 0x1f62407d, 0x451018cf, 0x76ba0f4f, 0x72a68341, 0x7300e38b, 0x625e7923, 0x10fe1118,
+    0x06560f23, 0x7591c1ef, 0x0269e358, 0xf0aaddd4, 0x8a3784b5, 0xb377c245, 0x8e0cf48e, 0x58cfbe60,
+    0xe59a293f, 0x26edb818, 0x1a70035b, 0x51a6f7f5, 0xbdfdcddb, 0x63909aad, 0xa4d39e0d, 0x7f1f0457,
+    0xcaaea31b, 0x7e27f87b, 0x161c9408, 0xd1a83441, 0x913eae3a, 0x9a5fb4ca, 0x95726635, 0x85281365,
+    0x4fb79634, 0x798ee86c, 0x1bf78ad6, 0x4e20f338, 0x92d194c6, 0xc4b29387, 0x2080d0bf, 0x776ee415,
+    0x57f3766e, 0x1b19625c, 0x44c9d746, 0xa10b5931, 0x56eb3049, 0x39bf0585, 0xe7580903, 0xdb34e2fd,
+    0xdedc3488, 0x84ae12be, 0xb2f5d4ef, 0x89d45cb9, 0xafeb2de3, 0xf2aafd65, 0x6beee612, 0xe55cdd56,
+    0x1cf4d8b9, 0x6fcd73bf, 0x6511b6ad, 0xfa794f7a, 0x10c0f80a, 0xa802c897, 0xcc7fc711, 0xc45b91be,
+    0xde8566b3, 0x3ab5971f, 0x63ed2db3, 0x6fe894e5, 0x2302b028, 0xafe93a8e, 0xb736ab36, 0x645fbc1f,
+    0xae08e21e, 0x35f4eda3, 0xcaccd437, 0x591eb1f9, 0xde93a515, 0xd2af411f, 0x23889118, 0xf66f1529,
+    0x9bccf829, 0x395700e0, 0x9f08515d, 0x8d96228b, 0xead4e9bf, 0x14b5162f, 0x894ca59b, 0x720d6e6e,
+    0xe2bb2147, 0xb8d7a636, 0xaeb61c9d, 0xff3f4851, 0xdd6eb987, 0x228e225f, 0x9c74e80d, 0x454462bf,
+    0xa1e2dd98, 0xe947a3a7, 0x8a4cea83, 0xc086fae7, 0x52f05d5e, 0x9407eb1c, 0x761838fe, 0xb7dc45c2,
+    0xa3a71bf1, 0xa699a5ca, 0x9c7f61df, 0xcc2a8438, 0x2af37173, 0x458f57c0, 0x601fddba, 0x5d720630,
+    0x82fe2a21, 0xc4fc2f11, 0xf42711d8, 0xfbcc3d61, 0xffa83c3c, 0xb8e01e1e, 0xc793eae0, 0x12af41e6,
+    0x5e545c96, 0x7ddf42f1, 0x137d0ba3, 0x8b5d2d63, 0x8cfcf364, 0xc1f75b35, 0xf3c8489a, 0x8b15f30e,
+    0x92da983b, 0xeea1a573, 0x0daf60db, 0x68043643, 0x267fefde, 0xfb74193e, 0xed01f1a5, 0x7666bc06,
+    0xb2f4c7f7, 0x791e0729, 0xd10e2ef5, 0xdc684f07, 0xc41e1274, 0x39d92bd2, 0xeba43f22, 0x9802ce96,
+    0x8bd98729, 0x40dd05ca, 0xb6d1c4d9, 0xca5a7427, 0x81632b2c, 0xb675571f, 0x4fc77182, 0x9495d282,
+    0x527e5cee, 0x06e60d01, 0x21a2b9d0, 0x5e19f13d, 0x5095c172, 0x998ba49d, 0x1b292491, 0x0f4cefac,
+    0x1da3e7a4, 0x27eaf6ee, 0x0c0a40b7, 0x9630f2dd, 0x9f32150d, 0xcc29ba69, 0xc2ec8744, 0x3b66a184,
+    0xa310b671, 0x5cafcaad, 0x5ef4e088, 0x6cbbaa68, 0xd9a8a417, 0x13bcae98, 0xbd5dffe8, 0x80e2aeca,
+    0xc74a2623, 0x3e26873d, 0xfa53e4e1, 0xfe2237a2, 0x27fadb24, 0x2b05f563, 0x493a6caf, 0x2063858f,
+    0x6ffb585c, 0x2ceea990, 0xe253540b, 0xbd6c25db, 0xd9938d00, 0xb58420a3, 0x68143158, 0x0fde0d09,
+    0x1ea570e1, 0xf160f245, 0xb1af0213, 0x9f617fce, 0xdf82f505, 0x7cc1f145, 0xba0191b8, 0x41fa8131,
+    0x89dc59b4, 0x60741293, 0x907e635d, 0x9026f316, 0xf1a404fe, 0x10371327, 0x7234e8f3, 0x55cd54e1,
+    0x688c58ef, 0x952d1edd, 0xeaa53fb3, 0x56f71381, 0x5793688a, 0xdba33d5a, 0xc7c0e341, 0x44627adb,
+    0x228dce1f, 0x372a65b8, 0xbf2e7624, 0xb35a0bfa, 0xea3a8e34, 0xe9bb6524, 0x7dc5c0fb, 0x4bd67125,
+    0xe3f135eb, 0x8c7775bf, 0xd65bfce4, 0x576eb1c2, 0x68eb1f17, 0xc67cf5f4, 0x4f05bf89, 0x9978c8a1,
+    0x3f309946, 0xfb01000d, 0x41201bc4, 0xc26b8956, 0xe6cab5e1, 0x04bdfb05, 0xee04aa34, 0xff68ed75,
+    0xd2fa88db, 0xbb5e9835, 0x3e1c07d9, 0x05531542, 0x84e1f9ec, 0x64e2e609, 0xe018b940, 0xbea047fb,
+    0xcaea7e95, 0xc26c36d2, 0x9cc916a5, 0x1d55978c, 0x9cb4bb15, 0xb7b7e81f, 0xf03cc962, 0xddf8d1bb,
+    0xbb6f6ab5, 0x0342ff0a, 0x716cc73e, 0xf579e6f2, 0xd53f221d, 0x3d1196c5, 0x73905071, 0x22a47459,
+    0x12d5b61e, 0x7b437288, 0xdbd71c5c, 0x2efe83df, 0xe980b161, 0xfb818bec, 0x37fd2d80, 0xf29a5ecd,
+    0xfcc95fdb, 0x167f95e7, 0x1cb6f041, 0xa7df50c6, 0x0451178a, 0xa81177c7, 0x1b757a0b, 0x88e4039b,
+    0x390a77d6, 0x675d68b9, 0xbc9a8e85, 0x2077067f, 0xf9a71dcb, 0x16c21afb, 0x9bf18166, 0xe9f06ce0,
+    0xeefa64d7, 0x7c3c951d, 0x891bf994, 0xe24676ea, 0x14c0d143, 0xd2abb688, 0xbd8e477e, 0xecf6ca2f,
+    0xdbc66dfe, 0x5c461d42, 0xec73b834, 0x8ce238e2, 0x61d9e3ec, 0x238817c1, 0x30cfa854, 0xe905f55a,
+    0x172ab111, 0x685a4a1b, 0x7bd55ad1, 0xff0d1a63, 0xef8a363c, 0x8a084ea9, 0xdaf90e3a, 0x247556ea,
+    0xc260e7f6, 0xe4882502, 0x20e28ea0, 0x05a107fa, 0x5b2ae61e, 0x9984dfe3, 0xc2377981, 0x2d7dfffa,
+    0x05a968fd, 0x41836808, 0xf2e0e69a, 0x1d8453b8, 0x93aabe00, 0x21a64343, 0x0e03644c, 0xfc917cec,
+    0x1ff492e5, 0x7575e1ca, 0xf1865894, 0x62ef1594, 0x77a1cdcf, 0x0ade5e92, 0xa1216463, 0x3f9e5db2,
+    0x06b0e160, 0x04a51ace, 0xeeaee0fd, 0x18a013d5, 0xf3064b71, 0xbe7dec39, 0xd9b9ef06, 0xacd67cab,
+    0xa21a218a, 0x9af376b3, 0x289bd09c, 0x43e44027, 0x17207455, 0xfc67d4e0, 0x9c2bd368, 0xa39fbfbf,
+    0xe0190007, 0x844b7a45, 0xb3630a5c, 0x4baab0c2, 0xb523f638, 0xc77e18a7, 0x8ebcf725, 0x689995d3,
+    0x53186a87, 0x079dbc37, 0xfc6795a9, 0xbf1a5d51, 0x88079358, 0xefbe84b0, 0xcdde8228, 0xb2dfdca4,
+    0xad803541, 0x52d073e9, 0x93bebc23, 0x1b4fc22d, 0x34405f0e, 0x0dc7b72d, 0x50a6c14b, 0x1d6efa96,
+    0xaa5a975f, 0x6d514326, 0xa8131be8, 0xcabc61f0, 0x05709c8b, 0xb13bcf7d, 0xd5fc1c79, 0xd87b1569,
+    0xb20ef138, 0xd0f2530b, 0x9427a4a5, 0xc0ce1117, 0x9ede5b30, 0x18e96a0e, 0x86bca825, 0xd9f8b1bf,
+    0xa1ebf2f0, 0x60ad3acd, 0xb5b95cb7, 0xb3d4c6b8, 0xa29364c2, 0x9839d252, 0x41c8a31e, 0x717d5c40,
+    0x41dc2ae3, 0xcb8ed89c, 0xb8949255, 0xce2116fb, 0xd496f084, 0x5c19369e, 0x5fb19ac9, 0x217077e8,
+    0xc44e4701, 0x1984b5d1, 0x994e976e, 0xd0702da9, 0x2bae5307, 0xf2051a15, 0xcb5c25fd, 0x0ae587a5,
+    0x07b165fb, 0xa4d4235e, 0x169b70a1, 0x27191a16, 0x988ccb5c, 0x66ca73cb, 0x1a0020e7, 0x0afcdb10,
+    0xbd1af2a4, 0xfaf4c836, 0xdf5f1c6c, 0x09dc5b8d, 0x2daea5c4, 0x23aabba5, 0x15410f13, 0x3a646fc7,
+    0xfcfa35cc, 0x453e3356, 0x9205b8c2, 0xc64dee3a, 0xd728bee9, 0x89c1eeca, 0x0598e139, 0xefcbadaa,
+    0xaff23f77, 0x690ff8c5, 0xdd5cb454, 0x3295da16, 0x73378253, 0x03996cfb, 0x1dda41c1, 0x750fa07f,
+    0x006b405f, 0x8adea7c0, 0x2127caa7, 0x9e943074, 0x305d2f10, 0xd7a4bd2a, 0xfac506fb, 0x122f080d,
+    0xc3bfc146, 0x96f095f6, 0xb64e5ca9, 0xad2a8c49, 0x719e0979, 0x12c05e27, 0x47de0527, 0x7fc30907,
+    0x31db6acf, 0x724df454, 0x0d003959, 0x2845b4ba, 0xcb448849, 0xb86f4b9b, 0x441a09e5, 0xae737661,
+    0x0ed3d5aa, 0x18bb8482, 0x25ef8f45, 0x098e55ff, 0x979f85db, 0xb8368423, 0x3f20e875, 0x9ca8a72c,
+    0xa3b55e06, 0xc00f782a, 0x4c668777, 0x89a30abf, 0x285164de, 0x06219daa, 0x7777424f, 0x30916aea,
+    0xfea5457c, 0x1e38c510, 0x98c5b93f, 0xb117b4e9, 0xd80f9138, 0x780b831e, 0x8cb367ff, 0xdc0d7e5e,
+    0x5aac2ea7, 0x446ff248, 0xe792d810, 0xd862acd5, 0xc3a8a21b, 0xfe4c2128, 0x2bef405a, 0xe268f1f1,
+    0x01d1256a, 0x29e10d1a, 0xcd197c2c, 0x321cb7ce, 0xe73b2434, 0x33fc7278, 0x05ea5e52, 0x6a65c0c0,
+    0x75753ced, 0x0ebd9d09, 0x6d99c3b1, 0xbf8a438c, 0x5ac1cb47, 0x7762f482, 0x643bca14, 0x80c45efb,
+    0x4d616b32, 0x52440986, 0xdbe49517, 0x06dfd468, 0x4eebf116, 0x711296b0, 0x2286b417, 0x5dedac6c,
+    0xd61d592d, 0x67e861fb, 0xfea5673e, 0x6b338601, 0xd1d708f7, 0x028740b7, 0x7280f5db, 0x1104a7e2,
+    0x855c0923, 0xaecced15, 0xd748e247, 0x83d2ef27, 0x2a77138f, 0x37708837, 0xad797e18, 0x2227670c,
+    0x00000000 }, /* 10**-00000000000000000000003549017208474643020260370155703147140398639456481045216\
+                          21821386318671527399120079749116723981329865996466075003059657194108692201472 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314,
+    0xac5b9254, 0xdfdf461e, 0x98be66bc, 0x08588ab8, 0x317076d0, 0x552714bd, 0x0a7af284, 0x6dfea68c,
+    0x00000000,
+    0xaaeb765b, 0xdfbe5f68, 0xe131b05e, 0x86ecf4db, 0x69040e62, 0x8b2000ad, 0x9de1fdc0, 0xfed50e07,
+    0x2c316e99, 0x0814b48a, 0x3dbfb65d, 0x92436f7c, 0x4fa61f5a, 0xb3a640f0, 0xaea1538f, 0xdb2fb713,
+    0x31b7ecbd, 0x9490d9cf, 0x53c9289a, 0x1a7d01bc, 0x9440735d, 0x10c597af, 0xe5bb90b3, 0x062e1e1c,
+    0x1b9947bf, 0xc66ebc2a, 0x1990a237, 0x498edeef, 0x5345b7de, 0xa9f7b768, 0x0835f713, 0xe098ac54,
+    0x096ddf90, 0x0be19e63, 0x0b80cf42, 0x8a7a3fc0, 0xe8a60cfe, 0xbc9ee99b, 0xe817c2fa, 0x0580213d,
+    0x923efc77, 0xd7cefd90, 0x92ce1633, 0x0447fafe, 0xb2cf43e2, 0xa6762264, 0x98df4648, 0x5259be4f,
+    0x6d59c3cd, 0xdfa825b6, 0x5a97bff0, 0xbd988a59, 0xafc89af6, 0xfcc14c71, 0xb8fd8e8a, 0xe505f04c,
+    0x5197dcbf, 0x8741078a, 0x71ec475d, 0x5013e716, 0x73bbf250, 0x78d7471a, 0x98bc204f, 0xc5e1ec67,
+    0x7e99321e, 0xf598f2c3, 0x6bb1b0e4, 0xe318f4ed, 0x75b312c0, 0xfecb6ec1, 0x7681e95b, 0xd84b3f1c,
+    0xd71da150, 0x603bb24d, 0x4a1f360d, 0x1e1a284a, 0xb9dfb9ea, 0xd92100fc, 0xdfb89d0e, 0x0adf0860,
+    0x7948b5b9, 0xaabe5007, 0x61036606, 0xf0ec5f89, 0xf16a243d, 0xf7415961, 0x0f6289ac, 0x15c86e94,
+    0xab55be85, 0x97339233, 0x8087fb48, 0x496ca95b, 0x1e9abb7b, 0x5d364363, 0xf2eff608, 0x09a1f835,
+    0x7dabcb11, 0xbe0b961f, 0x3c0cc0fe, 0xb5188527, 0x0ec0f070, 0xa05c499c, 0x63e8eef7, 0xb23e442a,
+    0xebc89ac1, 0x2bdddd61, 0x112b320b, 0x21bff527, 0x676838c2, 0x26b388f5, 0xea5df672, 0x299b940d,
+    0xa2bfcbf7, 0x74bbe74c, 0xb422ef49, 0xa9df3d0c, 0x9a043881, 0xbe86667e, 0x027337ea, 0xd738f038,
+    0x6e6a4f58, 0x0c67711a, 0x48f08e29, 0x9d18b1d0, 0x579cb1ea, 0x27b52afb, 0x9f987321, 0x51aee5a4,
+    0x7ae02c0c, 0x47115228, 0x8b99963f, 0xf90946ba, 0xce5bc185, 0x2fdba8f1, 0xc381b497, 0x27ce20fd,
+    0x16d5e95f, 0xedd6221d, 0x41add243, 0x194f0ed4, 0x07240e5e, 0xca3aabec, 0x962b2e5c, 0x05bfa90a,
+    0x1cdb02d4, 0x92c92b38, 0xa97a8082, 0x4c54b17c, 0xf013806e, 0xcf1d1b99, 0x4ab522cf, 0x0fd447a5,
+    0x3f188fca, 0x716683ef, 0x413561ac, 0x1a919282, 0x6c7134c7, 0x9af62c66, 0x57da76eb, 0x1ba57e30,
+    0xb7bcb9de, 0x76198995, 0x7f639c68, 0xc7616853, 0xeeb8456d, 0xe70caa65, 0xd5462bc1, 0x954861a7,
+    0xe748ab8a, 0xc313f814, 0x0e8c84eb, 0x50e7b28c, 0x3eee927d, 0x1a5d9633, 0x85a0f07b, 0xa0da9e02,
+    0x3be3fde5, 0x4e1cf709, 0x23e40830, 0x1a362d46, 0xb3e616d2, 0xad712b63, 0xcf9eae01, 0x6f861ce9,
+    0x331ca367, 0x9718e140, 0x72125021, 0x2e9b0235, 0x470aaaaa, 0x8da6352f, 0xdf7f85fe, 0x01cec488,
+    0x41d4a904, 0x2503c1af, 0x94d0f13f, 0xe9aab51e, 0xdb3873d4, 0x69926cae, 0x74f0ed48, 0x1cbbd3a7,
+    0x89bd3a5c, 0x567aadd7, 0x1e9f0147, 0x0e1363b1, 0xeaabf1a8, 0x792fd1bf, 0x01aaa1f9, 0xefa258d5,
+    0xe389d472, 0xe820d1ce, 0xbb582302, 0x2139b7cd, 0x95f7d358, 0xd11ddaec, 0x4ec40d75, 0x91b74da6,
+    0x891d9065, 0xdccc86c9, 0x340a6e99, 0x599da05d, 0xe2f703c0, 0x25e6faf4, 0x8de9348d, 0x256343bd,
+    0x4a6121ec, 0x8867a56c, 0x06c88607, 0xdfa77643, 0xfd9359b1, 0xd8499c0c, 0x7238ee29, 0x9b9398fc,
+    0xad1c5f70, 0x5f30d685, 0x396b083a, 0x2f21d23b, 0xf0912dbe, 0x30a46a8e, 0xf074e91f, 0xf185fcdf,
+    0xcc85e8ff, 0xde2476e1, 0xbc5d1781, 0x6a2c8cdb, 0x6af40efa, 0x7d6cc33a, 0xe9b8b508, 0x50d248dd,
+    0x34ff8938, 0x276ea2d5, 0x283a3e02, 0x1d699f3b, 0x4efc7212, 0xe92dbba6, 0x8f30f653, 0x96987e00,
+    0x86ef98c8, 0xcc0a9749, 0xaa8bc2e4, 0xa1e29187, 0xfc28dd5f, 0x31b6ffaa, 0xe87816e6, 0x25d4e959,
+    0x7df3fdf0, 0x7e43d3e8, 0x1df8f695, 0xa931734b, 0x78685913, 0x6f071141, 0xad769ef7, 0xb3b171dc,
+    0x3643bb1f, 0x08f48188, 0xe694a286, 0x8222ec27, 0x1777651b, 0xb94cbc6b, 0x320015a6, 0xeced035e,
+    0xaeedd553, 0x2a779201, 0x99b4cd17, 0x374de418, 0xa507b828, 0xc46e67aa, 0x253667ae, 0x190a615d,
+    0xaf878cc5, 0xa32475cc, 0xb3a1d029, 0xda139ac7, 0x0f1c11b1, 0x40f62a9d, 0x3445e06e, 0x31edc8b9,
+    0x7e425593, 0xadbac5dd, 0x55be307e, 0x6b0c0cb6, 0x4145d1d5, 0xe3b083d8, 0xbbb3202e, 0x874cde3a,
+    0xa8a04ce7, 0x1c26891a, 0x1e9e6bcb, 0x260a6330, 0x06ccebe3, 0x818e6eac, 0x5632914b, 0xdbb2308b,
+    0xc2020b22, 0x02381385, 0x4a06d613, 0x30847168, 0x1e7b5392, 0xcd9bcd0f, 0xabee718b, 0x8658520f,
+    0x862abf33, 0xb7744ad8, 0x420d524c, 0x13cf9809, 0xf81fc0da, 0x144760f4, 0x3ddffbcd, 0xa0e73b7b,
+    0xf52f7f59, 0xede1401a, 0x173b8daf, 0x84aa1c99, 0x6825abb9, 0xc5ae59d5, 0xf14a477e, 0x17fe1868,
+    0x1055a62e, 0x6ec6fd10, 0xd189455f, 0x96216584, 0x4793d781, 0xe8eaebe4, 0x8a0b6219, 0x71365a7c,
+    0x0cd10a70, 0x7561b858, 0xbc7872a7, 0x019c049f, 0x0ce9c8c5, 0xf94f795d, 0xe3d81f59, 0x206465d2,
+    0xe7356f27, 0x5c6598f1, 0x94be08aa, 0x217c54f2, 0x3078f84b, 0x632e5d2d, 0xe369266b, 0x77f351ce,
+    0xf26b783b, 0x2c10b0b6, 0x5a7567c3, 0xe7175f32, 0x623ce226, 0x476fba7d, 0xe322e800, 0x84d31184,
+    0x95012fb3, 0xe303a2cc, 0x725a4d15, 0xdd837674, 0x63f58b98, 0x8e3436b3, 0xd8b0db30, 0xd47e28db,
+    0x484aaaf0, 0x1835e4d7, 0xe408eecb, 0x96f17f81, 0xf7a01711, 0x6a077823, 0x18b20673, 0xb67c72d9,
+    0x07416bfa, 0x37942c4a, 0xb4c8d1d6, 0xe8739348, 0xcc7b38ea, 0x7d3879ac, 0x3600ffa0, 0x55539d94,
+    0x4437c949, 0xd997a5a1, 0xfb1ae5e3, 0xe5f88303, 0x4917ce83, 0x7377b31f, 0xf67e0efd, 0xd78c8262,
+    0xc032b82d, 0xf1c483e8, 0x4cc6e892, 0xc366eb15, 0xd2725501, 0xa9da0d97, 0xd43751c3, 0xb099d2b6,
+    0xeafd7dfe, 0xe4fb9f2e, 0x5eba071a, 0x3a41b018, 0xd4daab83, 0xff1494d1, 0x2ffce60d, 0x3be1db7f,
+    0x2ab20189, 0xd6aacd84, 0xeb05eced, 0x37ea5161, 0xce6a350e, 0x03c6aa06, 0xd355d306, 0x74f432da,
+    0x0cebf21e, 0x9f62d963, 0x327a764a, 0x6ba2f71f, 0x9d9a7f53, 0x896b7e87, 0xc2ad1b03, 0x897b2fb6,
+    0x8c870573, 0x5ee90506, 0xbfeb75a3, 0x8776a26d, 0x0f80eb9c, 0x24fd05f6, 0x01ffaf4d, 0x76617335,
+    0xd3254afd, 0xe3b709a4, 0x2fefb891, 0x145e4458, 0xf01288b3, 0x0b6b1d13, 0x5f013fa2, 0xade57efd,
+    0x846fe311, 0xfa4264ba, 0x01fbbae0, 0xb5c97fb6, 0xefab9a7b, 0x885fac48, 0xe1b9a4ea, 0xe49c0d68,
+    0x2269f0eb, 0x798439b2, 0x927efab9, 0x26f2b986, 0x03a7bcae, 0x448a52ee, 0xdefc75c1, 0x47ed4d9c,
+    0x81129599, 0x3c2f7921, 0x21cc45ed, 0x0c419599, 0x0b975ef3, 0xd877ebda, 0xfe8e7fc4, 0x7b352352,
+    0x24511770, 0xcd8f87a0, 0xeeb2ce75, 0x59de52cd, 0x4460929f, 0xe50dc579, 0x88733852, 0x1a3f420a,
+    0x63409225, 0x0d0be6b7, 0x1e2bdd1a, 0x1a05c7bd, 0xc309dcdd, 0x8ed58aa7, 0xbcc363b0, 0x7ac48fef,
+    0xe6aaf125, 0x693a7451, 0x4e4b08fe, 0x2d51877e, 0xe91c2468, 0x552e21a7, 0xa07852d4, 0x9816de56,
+    0xf075c0b1, 0x4595eac3, 0x9937a8ea, 0x8d1b36ba, 0x4c0200f0, 0x83f4c591, 0x3b0ee464, 0xfca52d3d,
+    0xdb828cab, 0x480dccaf, 0x6c180166, 0xbbf9f153, 0x561086c5, 0x41ffae8c, 0xca12484f, 0x03bb4af4,
+    0x7f1a8699, 0x81b61c4d, 0xa1e3c38c, 0x8d5c3211, 0x85d26bb3, 0x618082a3, 0x712e48b6, 0xc8c3ebbf,
+    0x6568b25b, 0x5e94c2c5, 0x92266059, 0x5b387cba, 0xb0da3dea, 0x0f7b5760, 0xce03d9d2, 0xac9cc87c,
+    0xdd2b6b6d, 0x8406b8d3, 0x7a1527d1, 0x898f320e, 0xb85a9f83, 0x4c4cfabf, 0xe4a1e9aa, 0xbee7c067,
+    0x36838b08, 0x8966557a, 0x5be45740, 0x41ec10ee, 0x569ee9a5, 0xb6114c4c, 0x2789220d, 0x3df544d0,
+    0xfbb4419a, 0x619bf812, 0xb5cfd2b8, 0x05ba03b6, 0x637cdbb8, 0x109c1224, 0xa3d2e1dd, 0xfb9bb585,
+    0x0032b423, 0x98947b17, 0xdb8e3fa2, 0x82c7d4c3, 0x83990efe, 0xb04c1366, 0x923a6073, 0x88012c96,
+    0xb87dcd61, 0x29f848b5, 0x49c6cec5, 0x03f0348b, 0x0c817d94, 0xbc49db3b, 0xb4a00ab2, 0xa6177151,
+    0xcd7a9e82, 0xf96bb910, 0xd3111abe, 0x8c50495d, 0xc226a196, 0x8dbee3d8, 0x13525b66, 0x97293fa9,
+    0x890127e6, 0xbfa27e22, 0x61d03d94, 0x79b6c0fb, 0xe57f1947, 0x4cf2efb6, 0xfe890e72, 0xb07e1cd3,
+    0xcdff619b, 0xebd01680, 0xc89bf432, 0xf7671b48, 0xde1cdb2f, 0x75de6b72, 0x7ee85518, 0x61807c9c,
+    0x261e0008, 0x5b2dfbd7, 0x97937316, 0x8966d48f, 0x94a59e5e, 0xe384f1bd, 0xd1221d33, 0xd9a38500,
+    0x3fb4106a, 0x38a2783a, 0x4828a71e, 0x16f44d2a, 0x221bc59c, 0x8720800c, 0xdd1fb706, 0x103c5ea3,
+    0x72f23915, 0xe094978c, 0x32c31106, 0x6c584537, 0x7a6fc1f7, 0x9b3d75e2, 0xabd94382, 0xf0337ee6,
+    0x38036cc4, 0x5ab42023, 0xd9224819, 0x43d47f7f, 0x2bc90a9d, 0x24641aaa, 0x235a28f4, 0x84c773ec,
+    0x1113940f, 0x88ed8290, 0x98a4b9bb, 0x965eb9ee, 0xabe333d0, 0x40757e7a, 0xc8f57aa7, 0xb9efb667,
+    0x8b977668, 0xefd43d30, 0x2de4b628, 0x4ff6a99e, 0x5901c22e, 0x403c351d, 0x31647c18, 0xc1a349d2,
+    0x03880474, 0xe7d4d8ab, 0x913ffd5f, 0x1c4b9f3a, 0x315027f5, 0x4ec88633, 0x6bb89fb0, 0x0c7dc802,
+    0xcdce10ac, 0xedf6c7e4, 0xdd6968f4, 0x08eca74d, 0x9b51d3b5, 0xf33ddb11, 0x7e127aad, 0xda11554b,
+    0x96ff2484, 0x82432476, 0x9522d950, 0x3dff673c, 0x1121f3b7, 0xf93f47a7, 0x9884fae6, 0x09ce349e,
+    0xa8030063, 0x5241600d, 0xd598e52b, 0xe182fed7, 0xe364abbd, 0xac447e77, 0x90be0af2, 0xb60aeb6d,
+    0x6e26c19b, 0x80d092ae, 0x622b5fd9, 0x8d597e41, 0x0cb6b674, 0xfcca384c, 0xbb4a5162, 0x0d8dc156,
+    0xfd148d59, 0xb3ec15f5, 0x21b5a89b, 0x7137f3fe, 0x5bc483df, 0x59d06345, 0xcf3a0071, 0x7db48438,
+    0x30710c7d, 0x67647e84, 0x367af490, 0x24f9efcc, 0xbfedb945, 0x5141d6f8, 0x62892d65, 0xe6bb9ccc,
+    0x4db7fbb0, 0x6413f459, 0xe66a9a59, 0x0a363c78, 0x0afd1b3c, 0x971bba31, 0x333c5d33, 0x9e1ec03d,
+    0xc18730de, 0xf23d0723, 0x5d714b58, 0x2fdb10e7, 0xd43ee5c6, 0x979b79e4, 0x57476c2f, 0x45f1325e,
+    0x8bc6f6b4, 0x960d1df6, 0xd1b3bb17, 0xaa5599fe, 0x73329856, 0xa4c9fd8f, 0x23633de2, 0xd2f92bc0,
+    0x51d7c087, 0x74b8b7dd, 0x7ca19b74, 0xe9dd5e18, 0x7c39b224, 0xbdbd1c30, 0xc8f5f07a, 0xb0ef70d2,
+    0x668ac1d2, 0x10864dbf, 0x015aec67, 0x49104a70, 0x6b64bbc8, 0x8e2185cd, 0x0c6a8f83, 0x739e356f,
+    0x29eda6a2, 0xc4ded485, 0x8187638f, 0xeb7fc2dd, 0x138c9aed, 0x1bd63a09, 0x2a9ee2ab, 0x10386e02,
+    0x43005476, 0x61af8362, 0x4660707e, 0x29f55d1f, 0xaaa4b68b, 0x3389ece4, 0x6d68991e, 0x30479d73,
+    0xf3c57d18, 0xe850b1a1, 0x92dbca25, 0x351ed4be, 0x898a1246, 0x8466ad8f, 0xbe85d121, 0xb4e657ff,
+    0xf87fc263, 0xca4a8d61, 0x13aecc31, 0x15afdf9e, 0xf286f4db, 0x923d1968, 0x0604975b, 0x847e3e7c,
+    0xe2b23fff, 0xc3568a95, 0xd36eb93d, 0xa59e6c0c, 0xd63077e3, 0x55dd1bc2, 0xaf565faa, 0x42d3207f,
+    0x45903fe0, 0xbd5d888b, 0x805f42aa, 0xaeb9487a, 0x5454f02e, 0x280521a2, 0xdf1c401f, 0xd7cfd556,
+    0xae47902c, 0x63605da1, 0xd0571093, 0xcb780aa9, 0xa9ce4c95, 0x14258eb9, 0x0cd90d54, 0xb11e417b,
+    0xe6daa2b7, 0x8966e3dc, 0x936e110a, 0x1a49f31b, 0xcf10c9a0, 0x5c894b10, 0x68a9cb3b, 0xcf341ee0,
+    0x34c1895a, 0x0d48a706, 0x0eddcfc0, 0x74cbd070, 0x66c09aa5, 0xc354bdf4, 0xd874178a, 0xe118bcac,
+    0xbdc25599, 0xb20d72e7, 0x0fdbc87c, 0x902a4bed, 0xa41b52ac, 0x25262c3a, 0x7405fc88, 0x88a8f946,
+    0x8e5d8658, 0x6ecf62c7, 0x1b4e23f3, 0x8e29588e, 0x703ba4e2, 0xa31e4588, 0x4b4b4549, 0x7caecd00,
+    0xdbad168c, 0xb1782461, 0xd5ef8ec1, 0xcdec3fb9, 0xb57aca5d, 0x5636367c, 0xcddebb1f, 0xf7307d31,
+    0xd450828e, 0x5631d75b, 0x788055e3, 0x692aea1b, 0xbcbf185c, 0x09f9a8f0, 0xaef71f1d, 0xf49a6731,
+    0xec315e96, 0xcd665a5a, 0x9d591e17, 0x66a3e5ba, 0xa71c63f5, 0x158c4346, 0x5bde7c8f, 0xaac2a65a,
+    0xcf34ccf4, 0x65f0a98f, 0x396f3ed3, 0xcaaceb95, 0xbe21ad47, 0xec9ff112, 0xa72b907d, 0x8b818efa,
+    0x5123ea31, 0x1d785268, 0x3e61ec7d, 0x8c85d382, 0x2ff9fc93, 0x53a5ecee, 0x3dc85492, 0x3d005a4b,
+    0x6bad6cf8, 0xc61ee018, 0x82f47b61, 0x69a00aaf, 0x8c67af35, 0xcecf982a, 0xc5ebc01e, 0xca8b3322,
+    0x01f45fec, 0xe4feba0f, 0x6dcc03fd, 0x62e8f6a8, 0xe6d756d6, 0x1b7f07fd, 0x1cb615cc, 0x9c0f490e,
+    0xff5767ea, 0x891d5c2d, 0x37d50d1d, 0x42f0e8b2, 0x003f6457, 0x35a7448a, 0xda3c269b, 0x805f2e96,
+    0x69797fcd, 0x8dadb89a, 0xd050c5bf, 0xcc4eb590, 0x14771f55, 0x8ffad7e1, 0x90598d76, 0x10bac439,
+    0xf8442292, 0x2681eb12, 0x21810de9, 0xba02325b, 0xae44f764, 0xd0a35062, 0x31955cc7, 0x38987346,
+    0x1db5f450, 0xe8eb4066, 0x32472a1f, 0x3a464e22, 0x653bccbe, 0x2f5055b6, 0xfc6c89a6, 0x17e2c853,
+    0x4e962ca4, 0x8c24eca5, 0xdd403026, 0x94d14a73, 0xd6de576b, 0x75a49a1e, 0xeb2ad2fd, 0x2840d6c8,
+    0xc09a892b, 0x916dd250, 0xbcc6546b, 0xc2c659b5, 0x8fa55f6e, 0x944856cc, 0x5ceb1ba7, 0x2b42dbcc,
+    0xf4f3d78e, 0x619a561a, 0xfc155c98, 0x71d88b57, 0x0a15fe8c, 0x407b56ac, 0x9a1a8982, 0x2dd3c3dd,
+    0x48ad710c, 0x01cbd6ed, 0x449981ce, 0x506f8add, 0x2a92535c, 0xdb8de710, 0x668d2133, 0x462dd611,
+    0x4517ff1b, 0xf46e69c7, 0xec861837, 0xb120bfea, 0x851732ab, 0x4b08fa11, 0x0eb6097c, 0x7b93f2bd,
+    0x9a024c31, 0xe6e43b72, 0x64a609c8, 0x1147933d, 0xd700b234, 0x1c0ce1fd, 0xa5295a94, 0xfbfe4036,
+    0xfd1b3784, 0x75c3adf8, 0x2955ad29, 0x92a1aace, 0xcaaf10fa, 0x94f57dbd, 0x42e55676, 0x9726f5d3,
+    0x2d561579, 0xfe9df191, 0xf066276b, 0x884c3430, 0x4e6c646f, 0xa39cf71b, 0x040529f6, 0x7b1003bc,
+    0x4d1cae51, 0x61a1553b, 0x76a4bfab, 0x24ab1573, 0x5d33ea4d, 0xa84ea8ca, 0x5163322f, 0x4616744f,
+    0x9b3b7738, 0x33faa130, 0x188aa66e, 0x03e26bee, 0xc8be4d8c, 0x5c0ff12e, 0x708ef4a8, 0x8e4e9eca,
+    0x08f19b56, 0x8dae14e9, 0x368afa68, 0x74f3f794, 0xc105efd5, 0xf6fdccd8, 0x8afece8f, 0xc9890653,
+    0xa6ad76f3, 0x7de6c750, 0x1588f1ba, 0xa18c50cb, 0x30404b2d, 0x53965ac1, 0x734cb43d, 0xf0ca28e2,
+    0x00000000 }, /* 10**-00000000000000000000001774508604237321510130185077851573570199319728240522608\
+                          10910693159335763699560039874558361990664932998233037501529828597054346100736 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a,
+    0x562dc92a, 0x6fefa30f, 0x4c5f335e, 0x042c455c, 0x18b83b68, 0x2a938a5e, 0x853d7942, 0x36ff5345,
+    0x00000000,
+    0xd12d9595, 0x66c708f2, 0x105ea45f, 0x5d36795c, 0x1f54385a, 0x4f7742c5, 0x33805a68, 0xbc9b19f3,
+    0x77cb2ee4, 0xcb2c828b, 0x1717123c, 0x55412f59, 0x7b53a44a, 0x91c43a53, 0xbcd032c7, 0xa702684d,
+    0xb1c0057b, 0x18ddb85c, 0xfcec1b34, 0xb8144b2b, 0x02e85205, 0x0f081587, 0xd6960596, 0x187af88f,
+    0x48619002, 0xc4820bf4, 0xe05c7688, 0x2037cec7, 0x8c7a49cd, 0x9e1afac9, 0x8e5d250c, 0x5ec140be,
+    0x386489e5, 0xea7ee701, 0x1982d00f, 0xc3f4750b, 0x6af1b848, 0x3770d453, 0x41f67120, 0x13a41892,
+    0x3fcc09d2, 0xdcee0bd1, 0xc67a383c, 0xbe6b853f, 0xc7d9657d, 0xe29ff9fd, 0x584a7069, 0x0ef65666,
+    0x853956a5, 0x0d3e68f4, 0xfe7d0332, 0x5055945b, 0x59e1b2e8, 0x29cbf653, 0xf56c8d88, 0x031b4ef6,
+    0xa083c9d4, 0x3db52ba5, 0x406173ef, 0xeb46cb90, 0xb2287e7d, 0xb2a3f547, 0xd2774368, 0x8845c452,
+    0x0ef67f43, 0xaa221738, 0x1352ed92, 0x088addaf, 0x7d69ce69, 0xad7efcf9, 0x238edc05, 0x5df6a0d4,
+    0x7d1f0fa4, 0xb6f0cc44, 0x50a5ea83, 0x0f331e0f, 0xe4f69a10, 0xaf1248a8, 0x8fe2fd90, 0xf1e99f59,
+    0x467335bc, 0x5349189c, 0x0584238e, 0x25db303c, 0x4b99df81, 0x2ef323c1, 0xbcd476fc, 0x0328a339,
+    0x5426dce7, 0xe5818d33, 0xec27b9c9, 0x94f88b5c, 0x08977d84, 0x17dc8b7f, 0x4ab34db3, 0xc18d4152,
+    0xc42d7baa, 0x44ba52e4, 0x013f572b, 0xad14e3bb, 0x0a740133, 0x09267150, 0x1ede9a6e, 0x8ecfed45,
+    0x68d63c5f, 0xa6be809b, 0xe094d597, 0x2f1f69bb, 0x5ee38b63, 0x5c19790e, 0x50739d70, 0x226a0962,
+    0x108eabfc, 0x8b68b6f3, 0x96c2f3aa, 0xc079cca5, 0xb3354aaf, 0x5f372757, 0xecf0e378, 0x38076030,
+    0x0550deb6, 0xe3198864, 0x2aa3c25a, 0x1b7edca4, 0x3346bfa2, 0x867b20d2, 0xb2e69aff, 0xdafba3ca,
+    0xf0f2c111, 0xa49e2dac, 0x91aebbe0, 0x857c39c0, 0x3e6109de, 0x104f2958, 0x0263dbdd, 0x8f185182,
+    0x29afc90a, 0x5a19fbd4, 0x9a7b27df, 0x2874d57b, 0xe33e226e, 0x9e384afd, 0x7d21d5e8, 0x3e2e2ef8,
+    0xb0db31ff, 0xd2cbd2b4, 0xbc60afb2, 0xc1e8289f, 0x04af0b44, 0xa24d3ee4, 0x4958f31a, 0x84461151,
+    0xe5969fcd, 0x576645a2, 0x937effc8, 0xf8341d54, 0x7667fcdd, 0x92a97ca5, 0x46b63a7a, 0x7826fc11,
+    0xf5d6befa, 0x543f6f15, 0x9c97b3b4, 0xa7649e27, 0x9b0fee20, 0x665c044c, 0x583d94b3, 0x084411e3,
+    0xd85049f4, 0x1d8a46d3, 0x65b9c2c8, 0xfe57d837, 0xedbb3347, 0x88b92237, 0x6f200f73, 0x2d73dcfe,
+    0x6302166b, 0x07364a46, 0x6e8e45d4, 0x698c2e7b, 0xb54131f7, 0x7e9a4c5d, 0x3fe0d9a6, 0xf8eda385,
+    0xdbab3e10, 0x103e997a, 0x8f7b8278, 0xe20554a8, 0xb5be0bc6, 0xa18e1d3c, 0xc562e0aa, 0x728789da,
+    0x71485802, 0x89a48440, 0x0f3f05de, 0x4ec445d2, 0x224b5672, 0xa1cdc162, 0xc55921e2, 0xcf852165,
+    0xad197fff, 0x59dde131, 0x60563a02, 0xb43ceddc, 0xc8d57fcd, 0x3b5567a2, 0xcd1fb57a, 0x7db012cc,
+    0x51bfacc8, 0x0ed9fceb, 0x9cd4ebac, 0x6f5aee82, 0x9de63dc2, 0x0278eee4, 0x324f0a0e, 0x99ac1f05,
+    0x634a242f, 0xcbcc6f77, 0x86f50837, 0x84f38b62, 0xd152f22e, 0x221c6a91, 0x8194b3f4, 0x02c01f47,
+    0xb6779fce, 0xde8a05a0, 0xcacb2b32, 0xa95bb429, 0x38000559, 0x3e494c45, 0xeeca6297, 0xf5c374b2,
+    0x2b3e79bd, 0xc63e66cb, 0x247f3c7f, 0xada60faa, 0x690a827f, 0x83096510, 0x948533ea, 0x6863d3d4,
+    0x9ace15d5, 0x7252dc50, 0x6ac6ca5f, 0x4da5ee02, 0x02aa9b16, 0x7c0a3ddb, 0x3589ee6c, 0xdcd6c7d4,
+    0x48ea3d61, 0xfea5e168, 0x52f6d153, 0x5ab6da90, 0xa35f8239, 0xdefa7847, 0x3b21b77e, 0x375edaaa,
+    0xa56ed2a2, 0xc5cfe9c0, 0xa4dccf7d, 0x1b592e50, 0xa205e6c0, 0xb64663ce, 0xd6161060, 0xcaa42598,
+    0x3f2ffdc8, 0x7d7a3ff2, 0x030d4856, 0xc26fb705, 0xb3752cdb, 0x22dda3bb, 0xa2b0d776, 0x9d7396d1,
+    0x1dcaffc6, 0x7253f157, 0x8c872d33, 0x09adf80b, 0x5e62f678, 0x8eb75956, 0x8f312450, 0x2a0b880e,
+    0x4156dea4, 0xd25a1a33, 0x83690fe7, 0xd7be03e2, 0x114010bc, 0x73e68fd4, 0xa21e4430, 0x686b8820,
+    0x0a28d15c, 0x3104f708, 0xde311b1a, 0x1a6c4da2, 0x1386eee7, 0x215e04f9, 0x738a5501, 0x05d71419,
+    0xb7535083, 0x1b3be811, 0xbc1d51ba, 0xf33208e7, 0xffe76e41, 0xb7408a9a, 0xd73eb7dd, 0x5aac3a67,
+    0x6a3e1048, 0xc7bade93, 0x162541ec, 0x677cf2ea, 0x0bcadbcc, 0xa594ea59, 0x3228cc49, 0x6bce34e0,
+    0xa8e24cd9, 0x34086ece, 0x91ce60a7, 0x6471805d, 0x1ea15169, 0xcb3390a4, 0xa7684b08, 0x350010b0,
+    0x5f20c56d, 0x79021c8b, 0x18f6c19e, 0xc4484486, 0x4e350ff2, 0xc46cfe28, 0x7c09a2c4, 0x4468a40c,
+    0x12c34e9b, 0xaf2cfefe, 0x5eb6e278, 0x910380aa, 0x0ce017ea, 0x92c79a82, 0x667d9ced, 0xe7778682,
+    0x642eaf88, 0x3d8d3fcf, 0xe282d763, 0x985f9ab1, 0xeba3fb84, 0x9cd7dceb, 0xc0f20532, 0x4fc67c44,
+    0x5e643c42, 0x6fa7988b, 0xae340a6d, 0x730564c5, 0xf0155832, 0xf36289ed, 0x2c77b12c, 0x08ac92d0,
+    0x3595747a, 0x2843d73f, 0x0575f07a, 0xace51eb7, 0xfa92a627, 0x77b246c5, 0x24f9e2d7, 0xbee2dc30,
+    0x041587c8, 0xf57706ae, 0xc605a21c, 0x0a0e1f95, 0x1b848eb5, 0x5286566f, 0x1a440186, 0x991cb077,
+    0xf276d482, 0xf57786a1, 0x21eab45a, 0x54478146, 0x008ac85c, 0x22e30b56, 0x1d67112e, 0x55ccbaef,
+    0x78d38668, 0x8ee4f5ea, 0x1652a07b, 0x16cceeb2, 0xd71e3aad, 0xe655eb20, 0xb78ce0a5, 0xe0dd0780,
+    0x37b7bf89, 0xe16a8e0b, 0x79eef249, 0xbd68bcf1, 0xb0541a80, 0xd239f822, 0x6e3f929d, 0xf41ea705,
+    0xe0f4f0f6, 0xa61f2ce1, 0x5b1219eb, 0x4d016b24, 0xe84bead6, 0x986627f8, 0x3e344687, 0x2aeb6a9e,
+    0x645c9098, 0x2b59f912, 0xcab06189, 0xe2ea39b3, 0x224aa6e6, 0xde7b7d52, 0x1703ba74, 0x8cea557d,
+    0x8b5d9101, 0x4d234dd1, 0xa53477f6, 0x2d6463a8, 0x95d962d1, 0x6fdac69e, 0x8aae6464, 0x977ea580,
+    0x858ea2eb, 0x3dba8cf0, 0x937fd863, 0xb5fe8c3b, 0xcc64d68b, 0xcddcb2e1, 0xcf56ebae, 0x96ff61e8,
+    0xd3a992da, 0xad40b51b, 0xcd2ae833, 0xf263488d, 0x4fe67e36, 0x11e5d290, 0x996d473b, 0xfef21276,
+    0x4f020338, 0x03c8ab9a, 0xbc1be665, 0x6ed5ff80, 0x631ac82c, 0xc3100f7d, 0x09ffb5a4, 0x97d3b8db,
+    0x46deea5c, 0x2591afff, 0xfc869c1a, 0xb9ef211f, 0xd9d3aa34, 0x60229b17, 0xdd79d5a4, 0x8bacc7f5,
+    0x6720a4fa, 0x30836c9e, 0x4ddfb39f, 0x768e42d6, 0x0cd2b85a, 0x0a6ca053, 0xe95c8795, 0x9b4298ea,
+    0xa0098028, 0x8208c412, 0x060fa1b5, 0x3e1bc60c, 0x15faa691, 0x3e46c744, 0x17fab93b, 0xf2a46ea6,
+    0xa15bed68, 0x3009d43a, 0x22f832df, 0x9d4b0c3a, 0x887a4da6, 0xa388b4f0, 0x8ccb34e3, 0xb9833585,
+    0x4ac2f58f, 0x8ea17ed1, 0xda1174c5, 0xa134a988, 0xdc61c71c, 0x69b1568d, 0xdfcf2c07, 0xe686bfa5,
+    0x3f7a28cc, 0x7fc1a5db, 0x1feb6176, 0x1149f100, 0xb09d2f64, 0x09edf1cc, 0x69d0b957, 0x65adc780,
+    0x7d1f62a2, 0x3e3e02ea, 0x0970d09a, 0x752e275a, 0x4754c2b9, 0xc9c6d570, 0x77aa3c60, 0x9a44fc9a,
+    0xc3a8f7e9, 0x5caa546f, 0x2bc13bf5, 0xb04c547f, 0x06c401aa, 0x4e9a2629, 0xad5d4794, 0x7c700828,
+    0x42f2fb1a, 0xc04ef3c6, 0xb59af9e0, 0x79272e7f, 0xae6f23a4, 0x329e3ece, 0x56136b93, 0x8857b50e,
+    0x3346ceda, 0x97e0ff12, 0x8821dea6, 0x26eaaba8, 0xb0343368, 0x2de9a231, 0x31fd041a, 0x94bb9f6a,
+    0x7b21fd19, 0x92e88acf, 0x0ca9056e, 0x2d1610a7, 0x8aab5fc3, 0xf505c089, 0xaa2a9c4c, 0x3285583c,
+    0x8d399b75, 0x9888d2f2, 0x0ba411ab, 0x36fb3c61, 0xd8578d4f, 0x8405b051, 0x68d31ae3, 0x912b5506,
+    0xb8517006, 0x0e75c89b, 0x03b6f966, 0xe18a82d7, 0x128c5cda, 0x6db9c0a0, 0x70bc1687, 0x8274d007,
+    0x5e91873c, 0xbb518fe1, 0xfd45192e, 0xb3d7797d, 0xb99ca93d, 0xa51cb40d, 0xdfa52ee7, 0x656854f1,
+    0x6e80b683, 0x44aeafdb, 0xc4926028, 0x51b988fd, 0xe8badbcf, 0x1e57d1b7, 0x531e1c7f, 0x788ecf3c,
+    0x2ee59b65, 0x026a76cd, 0x26178cd0, 0x8c289f6e, 0x62d24ec3, 0x22196295, 0x260beb3e, 0xf450604b,
+    0x6a641765, 0x3a5573c6, 0x51d7a345, 0x3f79e4f3, 0x9422bc24, 0x93f7c543, 0x078e8abb, 0xb3414880,
+    0x2e367709, 0x3efa44ed, 0x46ecd361, 0xef3fb5a6, 0xcc9e9d33, 0xf246ae6c, 0x2f6ae893, 0x5ec18707,
+    0x7bb0813c, 0x962dbaee, 0x56a496b3, 0x4ec2bc46, 0x36a28c6c, 0x0c689ad6, 0xcdce4f1e, 0x4b3df983,
+    0x9d199688, 0x241ec277, 0x3f769a3a, 0x0864fc35, 0xd4ffbfd5, 0xfec74328, 0x6612c177, 0x691fbe95,
+    0x6026eaa3, 0x391802c0, 0xbc9ec9c0, 0xa9499634, 0x0849203e, 0x07337504, 0x117fa2da, 0xb7fb35a9,
+    0xd60b6c79, 0x298f4260, 0xaf13a8a0, 0x5274e95e, 0x3ac3f7c8, 0x4b30834c, 0x14981e7b, 0x3d8a7b47,
+    0xfc8df767, 0xc2a63d3a, 0x99ed8f87, 0x773def58, 0xe2efe69f, 0x1c26e443, 0x65bf0f17, 0x801b4b18,
+    0x11b4b6b4, 0xa6504844, 0xba7e4241, 0x34868f6b, 0x6cc4e922, 0xad119612, 0xe8bc846f, 0x2112bd73,
+    0xc2d6dc79, 0x74ae68e1, 0x449d3561, 0x2a3e40a3, 0xbc92fd44, 0x74b03e52, 0x8f73eb8e, 0x1acf6531,
+    0x2a77571e, 0xc3789ff8, 0x7f8b6e74, 0xfb7360e6, 0xd9ce9d83, 0xdcc66818, 0x99c13e7a, 0x09dd582b,
+    0xd9dacaab, 0x29af8c5c, 0xe62604cc, 0x83ecf432, 0xcb38da51, 0x6201b6ab, 0x0366c4fe, 0xad57304c,
+    0x7fa21084, 0x19445575, 0x1de95295, 0xa017a42e, 0x2989ba38, 0x801512bd, 0x356a4353, 0x14885a25,
+    0xaf17a3fe, 0x0437c99b, 0xf218397a, 0x162392ab, 0x4be39329, 0x04dcbca5, 0x98484fd1, 0x08db67d8,
+    0x6542ed9c, 0x2d87a9aa, 0xf351460a, 0x0706ffa9, 0x54824139, 0x558750a6, 0x2f81ccb9, 0x2971cdd6,
+    0xc68d0839, 0x92f92098, 0x88090a7c, 0x0cc3ce39, 0x1e459ae1, 0x5ccd7f7a, 0x18a1a8da, 0x919886dc,
+    0xd78a5f39, 0xb2ba75b0, 0x15add4ae, 0x81880579, 0xf29d78f7, 0x9ccda209, 0x82a8c1fe, 0xe83ca2dc,
+    0xad5db538, 0x5e6888b7, 0xe38fa5e5, 0xf23a9295, 0xda4bc59a, 0xc9472425, 0xa6d93bff, 0x6cf43470,
+    0xac741de5, 0x21ad2aba, 0xe6978c66, 0x6dbe49d7, 0x5aee49fe, 0x32dd9b64, 0x1a354d7c, 0x1110af33,
+    0xd608972f, 0x9d337f3a, 0x001305b2, 0x4ffd944d, 0x888220b9, 0xdb0ed356, 0xf0da15ed, 0x6daf2183,
+    0x658ee3f5, 0x41646a9a, 0xeb82fa3e, 0x125a0f7b, 0xab0d1b6a, 0x5549f7ab, 0xa953a7a6, 0x8bc1aac9,
+    0x6f1bd5d2, 0xfb5e661b, 0x4baf77fc, 0xabb2c2e4, 0x362457ad, 0x251b496e, 0x5c60454e, 0xc6cfd2e7,
+    0x4149b86b, 0xc0d4bc97, 0x8d10ecb3, 0x2c65a41b, 0xcb8c2a49, 0xfcfe32b5, 0x1951bcae, 0xe613539a,
+    0xf2d664d6, 0x9cf0a7a0, 0xb9c18b21, 0x1aa3faca, 0x4d53ffa3, 0xcfd99b7e, 0x4378e651, 0x68e8b88e,
+    0xae62ffa4, 0xe8969e2d, 0xa4a1a15c, 0x674d5c8d, 0xa693bea7, 0x77f9d369, 0x5209298c, 0x2ec770d9,
+    0x9e721af8, 0x71d8bafd, 0x90d8efdf, 0xf334f16c, 0x4faed204, 0x810ac34b, 0xb12e1480, 0x82a3c929,
+    0x79ba61db, 0x856abfb0, 0x98308207, 0xa26bb7a5, 0x8b3f08dc, 0x2fb3f391, 0xd963b9da, 0x17cb05d7,
+    0xbc7048bb, 0x3665ebc4, 0x97273a1a, 0x0c18d2cd, 0x9bbbeca5, 0x4bccd853, 0x95207b5f, 0x69db8bd2,
+    0x33a528a9, 0x99684a8c, 0x6c59c2b5, 0x3204cd28, 0x0c6a2233, 0x2b3a43f6, 0x8bb4606d, 0xd5482402,
+    0x88371824, 0x7c09982f, 0xd42ca12f, 0x375f0c0b, 0x06374bb3, 0xc29d2d92, 0xcac86dbd, 0x8bdaa97f,
+    0xa890577a, 0x7af77c40, 0xc6a60b82, 0x319e1b5a, 0xf1d5f939, 0xebd9e2c5, 0x9963aacc, 0x5f293e55,
+    0xb56e4931, 0x4c341b60, 0x76c7535e, 0x1cd1a1f4, 0x01b5ffe3, 0x82ba0cd0, 0xf304cdc2, 0x3e500649,
+    0xe8166cca, 0x6e3e2fd1, 0xaa83961f, 0x0ed6dbda, 0x6389da12, 0xa6e7dd30, 0xf4281865, 0xee26a042,
+    0xbb63ed9c, 0x53c221aa, 0x2a0b5a16, 0xc7fbaeee, 0xb7bc86e7, 0xf685a483, 0x3fbfb282, 0x3a7a1900,
+    0x423c793a, 0xca806cbe, 0x400741d0, 0x4bb4e6d3, 0x50995d75, 0xf7465fbe, 0x1d7acd30, 0xa61fe0fd,
+    0x8327d18d, 0x43bd0040, 0x31885f08, 0x3611b253, 0x0e529ed7, 0xac5b7b28, 0x261e4b82, 0x552fe67e,
+    0xdc5bf77c, 0xa8863d66, 0xb9729451, 0x26f9eeac, 0x8f0d5013, 0xee3bba87, 0xb1d067fb, 0x0e977337,
+    0xc52bae31, 0xa18ef9fd, 0x1c381aa7, 0x33f8ed34, 0x5f0ecab3, 0xd232bc7b, 0x7b9b2679, 0x27c4afaf,
+    0x84e3eacf, 0x4a569b9f, 0x07ebf3ef, 0x2487d2f4, 0x76dfbffc, 0xd69e9e55, 0x0e13a33a, 0x483b14d5,
+    0x5b2312e6, 0xb999f282, 0xc3da25d3, 0x5841dc57, 0x0044499b, 0x1d98ed80, 0x045ec403, 0x846b3e0e,
+    0xb66ccd75, 0xcb96f19b, 0x4f2c1fef, 0x2a576e6c, 0xcb4975b2, 0x579c09b4, 0x19c8c5e0, 0xec3265b9,
+    0x834e3649, 0x4c5f14d3, 0xb5a6a3bd, 0xede484ba, 0x02f658b7, 0x4c91c251, 0x881ca063, 0x6ed28ea0,
+    0x5c388f05, 0x2645ef36, 0xa14e1914, 0x659832d5, 0xa61f015e, 0xa558d667, 0x53116225, 0x475ba942,
+    0xd9fbfa19, 0x4f8b1ec8, 0x00e5d03c, 0x91fd0926, 0xc16f8be3, 0x9a7e5130, 0x9e27e0a2, 0x8bd12700,
+    0xe5029d94, 0xd83c9e62, 0x57f3334c, 0x9de41076, 0x311f3580, 0x02c941dd, 0x22391021, 0x334b17ae,
+    0xa914f03a, 0x880a0326, 0xa5203a49, 0x1aaaa55a, 0x4b2f4bd5, 0x7f5a5e50, 0x8f81aa9e, 0x79d87648,
+    0x819f3880, 0x4ecebddd, 0xd39f7dd6, 0xca87d4d1, 0x917da01c, 0x1f5d1d99, 0x95a770cf, 0xd5cb995c,
+    0x502958de, 0x90ebd230, 0x1265b4d3, 0xe3eae8c2, 0xf95d56e6, 0x81e1d53f, 0xdb5661cd, 0xefeaeb4e,
+    0xe807f3e8, 0xd1f7394b, 0xfa878acf, 0x00f48510, 0x8cc6ab86, 0x1854465c, 0x6b8ce7e7, 0xc06f1e35,
+    0xbe9c7fce, 0xaa26420e, 0x87a2ddfd, 0x21b216c9, 0x6d63b66c, 0x92dce5ce, 0x9d6117b0, 0xae0ded13,
+    0x1f3fabaa, 0xf08c06ce, 0x98b74584, 0x070525f3, 0xc4da479b, 0xdc58d04a, 0x18c3bf60, 0xf0346547,
+    0xa22cd814, 0x1e02c805, 0x570fa69e, 0x1bfa11ca, 0x19533eaa, 0x5bcf9401, 0xb11be28f, 0x09d0dfcc,
+    0x533b285c, 0x5b1821ef, 0x67d9db49, 0xb8fbb57c, 0x505af282, 0xa4b59f80, 0xee5b7429, 0xec40600c,
+    0xc0017492, 0x82a506ec, 0xc9605f90, 0x7f2d2826, 0x44f38041, 0x9f8309f6, 0xe9801e05, 0xb6944971,
+    0x9d0f8ca2, 0x10907c32, 0x761330ec, 0x0ebfdfe4, 0x19bdd8ba, 0x2bf9c5db, 0xe65ed098, 0x50351e84,
+    0x3db493b8, 0xf3307b06, 0x3f1e3a79, 0xc3855a52, 0xe36898da, 0xd907590d, 0xf5f13fdb, 0x4eccf923,
+    0x00000000 }, /* 10**-00000000000000000000000887254302118660755065092538925786785099659864120261304\
+                          05455346579667881849780019937279180995332466499116518750764914298527173050368 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5,
+    0x2b16e495, 0x37f7d187, 0xa62f99af, 0x021622ae, 0x0c5c1db4, 0x1549c52f, 0x429ebca1, 0x1b7fa9a2,
+    0x00000000,
+    0xa3a14abc, 0x298a2ab1, 0xcc52abbb, 0x80a1287a, 0xed081449, 0xa0ade385, 0x436a5041, 0x82f5d6a1,
+    0xcbef261c, 0xe938af56, 0xe3560622, 0xc375ed0d, 0xdc0b20fb, 0xb614fb5e, 0x00c8a8e8, 0x3f4b6ad2,
+    0x0b4bf51e, 0x21b7e950, 0x75fce8ed, 0x802f5bca, 0xb5933d9b, 0x40bc316c, 0x1716e706, 0x0bd62ddf,
+    0x2f42ce1b, 0x6e3a0869, 0x27760747, 0x47abf4fd, 0xb47d6987, 0x6a3c9007, 0x832b74b4, 0xab848a23,
+    0x98212358, 0x40e31336, 0x70d06e59, 0x37e3cf10, 0xfc074b42, 0x34570f1c, 0x2c7f5350, 0xf943224b,
+    0x8d6ec667, 0x6be6501a, 0xf06db6a9, 0x41521a2d, 0xb3200d1f, 0x73b3e911, 0x195c07f1, 0xa2753f28,
+    0x2515cbfe, 0x447b5313, 0x58c3df00, 0x80897b21, 0x23531d16, 0x6821089b, 0xa4bf45b4, 0x8a223ee4,
+    0xefaf800c, 0xdc43d8b6, 0xbdbab948, 0x31e47af6, 0xc63741ac, 0x29263c48, 0x4bbf2e4e, 0xc15cfdec,
+    0x837f9976, 0x0b55f4b8, 0x4f8cd4b0, 0xd97b4411, 0x2c53e7e4, 0xd854ca96, 0x9f0075f4, 0x8506ab26,
+    0xb6d32851, 0x5df34449, 0x5693d2b2, 0xb251c314, 0xdb1b96f0, 0x5286650a, 0x047557f8, 0x8c228b0f,
+    0x0536218b, 0x0cf56f33, 0xc670d888, 0x2ba87cc5, 0x186267e6, 0xc6255c6f, 0x9d1fc4f0, 0xc5c16c0a,
+    0x270aabb0, 0xb2fa801f, 0x51b13b56, 0x234c820b, 0x9b62e690, 0xc71eb0c1, 0x0c51657f, 0xe30b2347,
+    0x90f78e55, 0xac0f23ad, 0xe3901cd9, 0xc5f17a7d, 0x8cfdff49, 0x0af62d98, 0xc6715f14, 0x38dd386f,
+    0x7b23d2dc, 0x1c170920, 0xcdae48c3, 0xde9090d1, 0x15f51ab6, 0x28d485e1, 0xcf653710, 0xf7e61485,
+    0x2a2c55f4, 0xdc5ea27b, 0xa7a0a41d, 0x13516138, 0x8e862b15, 0xc8cbcdd7, 0x18655fcb, 0x0a5f9781,
+    0x1dd1da2d, 0xba6476ba, 0x3096048d, 0x63c84a7f, 0x19747482, 0x041d1a32, 0x04c3aa73, 0xe3168f25,
+    0x47c00a6c, 0xaa5a5512, 0x037d2db8, 0x04157cf2, 0x44c84d5a, 0xcb9027fc, 0xed8aa93d, 0x32a238d6,
+    0xa6b03d71, 0x9b7f81f0, 0x50c9430a, 0x265c01ed, 0xda7d6e6a, 0xd5a6fae0, 0x9a71345e, 0x16ed616a,
+    0x5d5f28cd, 0xd06cc220, 0x054696c8, 0x7b7bf986, 0x9b5c6c87, 0x0b16ab57, 0x188fd49e, 0x8f796fab,
+    0x1dec2ff3, 0x9b7c25c1, 0x1fdd521c, 0x226643bc, 0x4a619b67, 0x69636a5e, 0x9c3262f3, 0x1de12aee,
+    0x46f78639, 0x2ba49aef, 0x695578c1, 0x81cefce9, 0x24e50837, 0x98491669, 0x56302d55, 0xb3d181a7,
+    0xb5f96f9d, 0xc52e193f, 0x0bd62f30, 0xdc7cf6d4, 0x27042dc9, 0x9f469dba, 0xe52f26c2, 0xc38365fa,
+    0xb7148622, 0xb0249117, 0xeded3c2d, 0xa8ae8446, 0xabcb1896, 0xd256a8f1, 0x72a4cbd0, 0x2ed0e650,
+    0x1f8f80da, 0xa29908f6, 0x302aafb8, 0x7f1fdde7, 0xfd230a6a, 0x8f3c9e9d, 0x5199ed66, 0xfcac8260,
+    0xe270079f, 0x1159832b, 0x00249757, 0x899fca46, 0x88f26b49, 0xbad4898a, 0x4f87037e, 0x11c0ae48,
+    0x8c1d0f2e, 0x4c8efe9c, 0xa633068d, 0xbb70715c, 0x46409afd, 0x5fd3fcf7, 0x50af8a70, 0x359c8239,
+    0xc265063b, 0x115f7c45, 0x6e666a31, 0xfafb0ada, 0x8a9cd72b, 0xe621b971, 0x7a198952, 0x92509668,
+    0x55745402, 0x09574a47, 0x6ab41ae3, 0x5e1f7896, 0xab978c19, 0x9a65d8c3, 0x0a2f970e, 0xfc82f3d3,
+    0x6b9a2baf, 0xb6a394f8, 0x1d05d465, 0xa820f023, 0xf75b42e0, 0xdb3206a6, 0xdbf060a6, 0xb4417fca,
+    0xa0750c39, 0xa03affc6, 0x6bb6fd42, 0xc6acb3b4, 0xbe125cb2, 0x645e43ec, 0x568df602, 0xeb08b44b,
+    0xb95aed57, 0x562ff81a, 0xfe062ed4, 0xa579fbfa, 0x4502135a, 0x2204dc53, 0x83dda34a, 0xc78cfa02,
+    0xac33e769, 0x18dc6188, 0x7fdb6ed7, 0x805fd2c4, 0x2e9d465b, 0x1b5ea242, 0xdb711946, 0x0adfec83,
+    0x13b5f619, 0x98a854e5, 0x889797e6, 0xe51dad23, 0xce9b19b6, 0x77492438, 0xc011d8ab, 0xf8b5e289,
+    0x4e83e82e, 0xdc53930f, 0x0877fd28, 0x8bba5468, 0x232de239, 0x68b688af, 0xf6cb0de4, 0x801a7a97,
+    0xc4b0b92a, 0x9e0d09aa, 0x4469469e, 0xb1b8bbea, 0xf86d7ea6, 0x10b12088, 0xa3177019, 0xc25259d0,
+    0xdda3856b, 0x991f636c, 0x8f32e668, 0x91cfdd28, 0x82f0c819, 0x27c55d9f, 0x9a710190, 0x95e21b29,
+    0xef81d0e0, 0x4c485e2e, 0x3528794b, 0x6790eddd, 0x427d92b4, 0xbb200fd4, 0xc40a7fc5, 0x43511acf,
+    0x4059c38e, 0x15ff21a4, 0xfd6c6c07, 0x7b6740fa, 0x11f03c6e, 0xb8184911, 0xc43ddcee, 0x227fb68e,
+    0x54fad90f, 0x558a7179, 0x57f01795, 0x92e0e88b, 0x818e87ec, 0xa0fd990a, 0x58f7295c, 0x611b9e41,
+    0xb4bf5b76, 0xe7446a84, 0x0b44cde1, 0x698bc628, 0x4148c8ab, 0x0fdacd89, 0x8ef3b85c, 0x4d857249,
+    0x7e1f5b28, 0x5899f93b, 0x43b9650c, 0x1f99b025, 0xe5dc3c0e, 0x6d4c8e93, 0x96b3be25, 0x2ec4c937,
+    0xe9ce8325, 0x46d8ae85, 0xf520044e, 0xa49c8749, 0xa34ba003, 0x2fe95beb, 0xd6d27b91, 0x7fa90790,
+    0x721e2d2e, 0x192bfc66, 0xb9d39900, 0x9b9373a8, 0x31570a10, 0x51d8d344, 0x98d32133, 0x39680c8d,
+    0x4551322c, 0x63d0e306, 0x9cdd971e, 0x3ec4942a, 0xa3a1fab2, 0x0e9123e8, 0x036aaa87, 0x3b010ab2,
+    0xdccc08fc, 0x48b939ed, 0xa463d2ea, 0x3bbe33d2, 0x976f6916, 0xa5fd7ec1, 0x08165068, 0xe97daa08,
+    0x12fb0173, 0x8d929ae8, 0x034b8e28, 0x488cb7d8, 0x754676d1, 0x807237a3, 0xcf309539, 0x0577e90c,
+    0x8e45647a, 0x1a8de3ff, 0xf947245a, 0x6f515ca0, 0xf85e6606, 0x82dad136, 0x96e36342, 0xfc8d2b5e,
+    0xbba66de5, 0x1455eda5, 0x37697985, 0x3cf71677, 0x843b260a, 0x84c3c6b5, 0xa2430990, 0x80ac2747,
+    0x84f88429, 0x93b80a40, 0xb77b4486, 0xd0fcc78a, 0x71770658, 0x588a11f6, 0xbf7bb4c0, 0x86a09e97,
+    0x7f97877c, 0x25d73749, 0xcdecb3d6, 0x2a3451bf, 0x12d75b84, 0x46d742b2, 0xa0566f75, 0x92019305,
+    0x601e86f4, 0x512e9b1e, 0x36a89415, 0xfce9f6b2, 0xe20ed860, 0xc0ea7445, 0x74964920, 0x875fecec,
+    0x4907c488, 0xe17b3578, 0xd93017c3, 0x5b6f6c37, 0x1f364683, 0xcce9b1a8, 0x8b8cb8c4, 0x40d9c764,
+    0xde57a997, 0xe3ff18e9, 0x50a67161, 0x49c2c9ee, 0x879c0aa9, 0x84e864d4, 0x4e4c321c, 0x4cb23731,
+    0x3e595358, 0x5e351a85, 0xb6227cfe, 0x53259887, 0x3773ac82, 0x8fe0f637, 0xcc9f38a1, 0x5ab59145,
+    0x41681fc1, 0x5cabc3bb, 0x5716fd42, 0x0be3da05, 0xb988127d, 0x68dfad78, 0x47c6c693, 0x3c17a321,
+    0xbdc38254, 0x2875ce33, 0x4865a524, 0x3e34c12c, 0xe26e9663, 0x896a67da, 0xa0602758, 0xaa93313e,
+    0x2af5d11b, 0x36616a74, 0xd44b0366, 0xc3c017bf, 0x74675903, 0x6988bb58, 0x632e1f03, 0xe2a33e32,
+    0x60334f63, 0xaf298140, 0xbd5c5333, 0x746beca5, 0xf6d7f33d, 0xc040a390, 0xa1ea8831, 0x3b95252d,
+    0xe62a7bab, 0xd185442b, 0x54847d42, 0x9985d218, 0xbba1c5c0, 0x53cc6d03, 0xe19bcd33, 0x7865e022,
+    0xe43a3404, 0x18541414, 0x318c30b9, 0x11ea2ddb, 0xe4536abb, 0x8cfcb38e, 0x69eb6eb4, 0x42127bb7,
+    0x2c16f17f, 0x2b05fe88, 0x3c4bcf87, 0x5629868f, 0x5e56fa5c, 0x0a4e4e3c, 0x985beac9, 0x94f2a533,
+    0xcd3c72ac, 0xe6545f4b, 0xc62057a6, 0x5475a31b, 0xb6d4aff7, 0xe1b203c4, 0xb02a3ee0, 0x4c03e895,
+    0xb2de180d, 0x375da3d9, 0xc534fca1, 0x1c93e03d, 0x3efefed7, 0x765a414b, 0x2fd37668, 0x96e56d36,
+    0xa5cdc5d1, 0x4d884791, 0xca3ec3f8, 0x6bda364e, 0x60559cf8, 0x88b5b368, 0x7d2cecd5, 0xb17392f3,
+    0x61192e89, 0x66d5cdfd, 0x8279bca2, 0x5f4a6b4d, 0x3db63fa0, 0x631151ac, 0x6062b8b2, 0x0fedb5ec,
+    0x55511e29, 0x36470021, 0xba58a95e, 0x1f314859, 0x6ab8ed0c, 0xe093b5e9, 0x0d5da623, 0xedf55730,
+    0xaf902436, 0x8e279bfc, 0x2e7cbcac, 0x206eb89d, 0x7ff0a0d7, 0xb595ca2c, 0x7c2024cd, 0x8e75033a,
+    0x98fa4025, 0xfab93e20, 0x53fc6e42, 0x773213db, 0xb4d5cc2d, 0x908c1662, 0x3b055cb2, 0xb4dacd8a,
+    0x3ac8557d, 0xbe1d2d6a, 0xcf223bdd, 0xfaa69bf7, 0xa2d4e578, 0x9147c0d1, 0x4a1958a5, 0xf74f7b67,
+    0xd65e98e4, 0xe602e6f4, 0xe540c566, 0x06473881, 0x96cda891, 0x0da32519, 0x66c42199, 0xd4308f78,
+    0xdc80ac80, 0x8e07df73, 0xff3c1ebf, 0x6360d071, 0xa860cfa1, 0x9de57643, 0xa4c21ef0, 0x2d6964b7,
+    0x55bfed35, 0x8c49f3d6, 0xbb85a66f, 0x6be9a743, 0xa98a8973, 0x76c51370, 0x73c844a8, 0xef2cfa3d,
+    0x92510a25, 0x8c3f1c9d, 0xd72632c0, 0x25ab7cf2, 0xb19adbc4, 0xa21117cb, 0xadb78db2, 0x49accc28,
+    0x344ce019, 0xb707a1a9, 0xf5958f83, 0xed3bae53, 0xfb0ba7e1, 0x9e1301c4, 0x4c5b26d5, 0x28665cc9,
+    0xb240e493, 0x821bb207, 0xb172f965, 0x9347879c, 0x640bf0ca, 0xfa5be1e3, 0x378debaf, 0xc49e483d,
+    0x0c1198d3, 0x5f15915f, 0xb0249524, 0x6bd04985, 0x600b730f, 0xbb087e30, 0xa2456bdb, 0xc4b5ab2c,
+    0xf9af7c6a, 0xafac1a03, 0x1bf61cb0, 0x243d58e1, 0xcd8c638a, 0xd4c8aac2, 0x751afa69, 0x022f0aa8,
+    0xfc12af33, 0xaaafa6bb, 0x0f21fe8d, 0x134fc628, 0x9492d195, 0x2b46e832, 0xa0d44a43, 0xb84682bf,
+    0x674f5aaf, 0xb5350c3e, 0x30bda62e, 0x86d9ece4, 0x77edaaa3, 0xb44defdf, 0x68f5c025, 0xe599b263,
+    0x2061680a, 0x3bee673a, 0xd00f1766, 0xbe6644db, 0xb50dc4dc, 0x83f322b6, 0xf95cf78f, 0x795e17ba,
+    0x68b55aa9, 0x6115e3d8, 0x95974558, 0x6a609039, 0x43102bfd, 0x7dd7e4d8, 0x384fdff1, 0xf6194a2a,
+    0x44af8de7, 0x34cd0d26, 0xd6f244ca, 0x2b9e0487, 0xce1c6ee0, 0x053b7abd, 0x20e0fef5, 0xdb83f89f,
+    0xcf80aa9e, 0x20afbe6b, 0xd056b79b, 0x02b2f857, 0x345a37e7, 0x525b566d, 0xdd3f0ff8, 0x2222c0cb,
+    0xaf6cd3a9, 0x53505782, 0x668912e6, 0x0ca4c159, 0x995ded44, 0x310bfec5, 0xf8b50cc9, 0xbc26c58f,
+    0x7d373629, 0xabfd9fc7, 0x73c37042, 0x8c1eccfa, 0x6b0c8888, 0x7f1f201a, 0x2475984e, 0xbc5e5261,
+    0xfc3f52f9, 0xbe1f2b33, 0xcd7a667e, 0xbdab41c0, 0xc9d191a2, 0x0223cf42, 0xd04e9f0c, 0xddb1f98e,
+    0x0c96d7b9, 0x48a8d0ad, 0x0a65c2f9, 0x97969f7e, 0x82af20d7, 0x714b13a3, 0xcbbc14d3, 0xd25077a7,
+    0xdebfd6ed, 0x6c5f0197, 0x294c233c, 0x30efad50, 0x091e5b92, 0x3f7b7cb9, 0xd0242092, 0x02150060,
+    0xe3b436e5, 0x8ceea4c0, 0x200991f0, 0x1177eeeb, 0xe7499932, 0xde97aecc, 0x0493c576, 0x45658f5c,
+    0x2632cbe0, 0x1470db39, 0xb1855001, 0x3eee6e63, 0x7a54b97b, 0x2c4d75e0, 0x7f871b45, 0x281636cf,
+    0x4804fbc7, 0xb219d150, 0x9e2e612b, 0xee1cf91a, 0xc6b1de5d, 0x143ac50b, 0x8d621b34, 0xb206d1e5,
+    0xf637913c, 0x90ddd2a2, 0xead36167, 0x1ab18b22, 0xfc14d9d3, 0x53e256b1, 0xafbf5271, 0xad3c8532,
+    0x337c28db, 0x33abc148, 0x3cd3aa95, 0xe5b09140, 0xd267e0d1, 0xc1c0bc33, 0x8bf24c1b, 0xed1de2d9,
+    0x16da262d, 0xe40d2c38, 0xd447fcad, 0x559601ae, 0x811fb9a4, 0x29f4af40, 0x297d4fc8, 0x8ab510d4,
+    0xe6995aad, 0x7aac420c, 0xf9fd24ec, 0xa66000eb, 0x2fdc3792, 0x0b2a77cc, 0xab43285c, 0xbf2b1c2e,
+    0xa4e9b833, 0x42ca1ce9, 0xd657fed6, 0x2b7ddc20, 0xd1ed64c0, 0x4f670241, 0x833e916a, 0x8e380856,
+    0x41088243, 0x2d9c6696, 0x990451bc, 0x32d0ce17, 0x87b3dcde, 0x0f4270d5, 0xc4d2e7be, 0x3cdc5632,
+    0x23f5645f, 0x3b996fdc, 0xf2e9aaf2, 0x5f36b1a0, 0x7a3af3f9, 0x8b71de5a, 0x23543cca, 0x56337154,
+    0xce1d8e3c, 0x063df362, 0x47f11645, 0xd0d9c64e, 0xa3ab4da2, 0x7311f1ab, 0x74a10a9d, 0xd466f293,
+    0xf0c81f1d, 0xbeba3f9d, 0x7ba22879, 0xf1084e3f, 0x140ddeaf, 0x1c3a6e00, 0x5bbf0820, 0xd10729f5,
+    0x9c1abbb1, 0x403cb7b0, 0xba8add26, 0xf8a609c9, 0x7105ce7b, 0x93465fed, 0x1aeb84b1, 0xa765e0be,
+    0xaccd643b, 0x0d4e8ea9, 0xeac33662, 0x712a198a, 0x9d2d2e96, 0xd32cab7d, 0x9ade92d1, 0xd67effa3,
+    0xda16a6fd, 0x9c45b0b4, 0x4ea03a5c, 0x1848f74a, 0x7c582b2a, 0xa3a66662, 0x38f187e9, 0x068f73b0,
+    0xc6a4ed5b, 0x4709cfdd, 0x2f24ec62, 0x4b2bce17, 0xc5842895, 0x7932910b, 0xec169d2c, 0x646c4276,
+    0xa57d78db, 0x0947a593, 0x43324ecf, 0x07a5c96f, 0x7abbc1c5, 0x4a321a96, 0x5582463b, 0x8faeadb4,
+    0xa752fd00, 0x95b57b3f, 0x13ce9fe7, 0x2ca13380, 0x83f0b66a, 0x51319de5, 0x53c94032, 0xf2dd3710,
+    0x27e22b07, 0x5339ec7f, 0xeae64284, 0xd2d7e873, 0xe3297360, 0x5b103765, 0xd007bf93, 0x47e16da4,
+    0xb3975085, 0x0bf308f3, 0x24f5324e, 0xf275db85, 0x82fe6ef0, 0x26cfac1c, 0x326bfef8, 0x3d4f1775,
+    0x77cc688a, 0x79792e64, 0x32f82ce5, 0xd72df011, 0x12ab73ff, 0x99a3abd6, 0xfe860e28, 0x9fdf2a04,
+    0x7e96e558, 0x0bf57440, 0x48c679b8, 0x49169222, 0x49909c67, 0xc8c4690e, 0x91f3b23b, 0xaaeb6b79,
+    0x607eacf0, 0x67474b65, 0x2fc8a4fa, 0xb060bf60, 0x23473737, 0x6e2c80a8, 0x473b15fe, 0x3bdba960,
+    0x1dd7b18d, 0xede0e20c, 0xe10eb077, 0x44566255, 0x58701d72, 0xffbc46fd, 0x1dfc4272, 0x7b4a3bf9,
+    0x0ab06278, 0xdbcf765b, 0xda5c32b6, 0x33884d7d, 0x97f93dae, 0x2cbc8ae4, 0x876049e9, 0x8a5cad25,
+    0x9371b437, 0xd9694539, 0xed3645d0, 0x881a9c92, 0x5d6e40bd, 0x9b65d57e, 0xbb9a9f89, 0x2df5f355,
+    0x4182e00e, 0x3b42f27b, 0x023a0e5a, 0x7c7333fd, 0x99245a27, 0x0db7ea4a, 0x6d09f46a, 0xc207a579,
+    0x5949c5d2, 0xb5af88cd, 0x4d36e440, 0x30356f9f, 0xf1627cd6, 0x21d83c15, 0x9d43ceb7, 0x7cd643ec,
+    0xad456c46, 0x3fac0637, 0x65930f1b, 0x9b0c766f, 0x9927a7fe, 0x11630e5c, 0x8e39c158, 0x8ed64402,
+    0x2f007675, 0x7e8e0b8f, 0xd001e702, 0xeb4c433b, 0x442939ec, 0x05e65ccb, 0xb851d804, 0xa54842b7,
+    0x855a19cb, 0xeefd16c1, 0xd2bc45d6, 0x314ade48, 0xaa5f56e9, 0x4f359267, 0xe5ff3110, 0x3ecb66a9,
+    0xe4bcf786, 0x6581e373, 0x29d31a5b, 0x54079deb, 0x51b8251c, 0x6a0aaf8c, 0xc010ba99, 0x5a95cbee,
+    0xa4793cd8, 0x6d8216bb, 0xaaf77bf6, 0x41ee40d0, 0xc0505b0e, 0x747a5343, 0xe2e2ed02, 0x575ea634,
+    0x6195fecf, 0xc5bf55a0, 0xf3f3852f, 0xa1ea5921, 0xe75ccfe7, 0x378b2812, 0x12ad49e4, 0xacecc75b,
+    0xff00da13, 0xda2fd879, 0x1d1d0b66, 0xd8f19074, 0x037d377c, 0xf450430a, 0x679c60c8, 0x8b80e2a1,
+    0x6a4c00a8, 0x364fe9c3, 0xed47271b, 0xe4c1946d, 0x011c96b6, 0x64c3665d, 0x75b4cbdd, 0xea211564,
+    0x5681f465, 0x069a5554, 0xc5c0d68d, 0x3acd0e60, 0xccf3b3e5, 0x6f3d31df, 0xf75e7adb, 0x48859954,
+    0x92baacaf, 0xb5ae519e, 0xe0c0cab0, 0xcdd47f4f, 0x65bcac2d, 0x36454049, 0xc520f7a1, 0x4cbbbe1e,
+    0x00000000 }, /* 10**-00000000000000000000000443627151059330377532546269462893392549829932060130652\
+                          02727673289833940924890009968639590497666233249558259375382457149263586525184 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262,
+    0x958b724a, 0x9bfbe8c3, 0xd317ccd7, 0x810b1157, 0x062e0eda, 0x0aa4e297, 0xa14f5e50, 0x8dbfd4d0,
+    0x00000000,
+    0xccab325a, 0x432b534b, 0x7b84f49d, 0xb2132a47, 0x08aec457, 0xe65c8907, 0x28136b5f, 0xd1f9439a,
+    0xa9f76fee, 0xbbafbf03, 0x0c084d3b, 0xc5806d77, 0x75ed8cda, 0x751be933, 0x0c5619ce, 0x5d10b4a6,
+    0x880643f3, 0xee61df11, 0xcf51f36e, 0x4048689b, 0x53dbcbef, 0x18abee79, 0x768b4daa, 0x50232e17,
+    0x4c2b80ff, 0x9b78715b, 0x62cb2327, 0x4f4b69d3, 0x38731a27, 0xd713d156, 0x733b45e7, 0xce6d3af7,
+    0xfb9aea5e, 0x86fa8c93, 0xcdd4ce26, 0xa0176ad7, 0x2ed831f5, 0x5f06fee4, 0xc3ed2d64, 0xe42d6e74,
+    0x94baf501, 0x50c7fde0, 0x07ed32d5, 0x70bc8fe4, 0x04bfe89f, 0x730c509b, 0xa9463973, 0x7a068d10,
+    0xde4e97bc, 0x39aba653, 0x4342aa6c, 0x3ca7ee25, 0xbcb2b1ea, 0x86735dd7, 0x7f9bb7dc, 0x22b66f86,
+    0xfbbbd3ee, 0xcd1e1d7b, 0x02bfd3d4, 0xacd283e0, 0x838879bf, 0x011d320e, 0xbe18b11d, 0x53e8700c,
+    0xb85bb8c9, 0x69f23766, 0x5f4f3dad, 0x6d9a044f, 0x5c1e4ddb, 0x22e9fa68, 0x0d4d5342, 0x420c7a27,
+    0x9f3f50b0, 0xe777ab27, 0xa3ec98fe, 0x5cc15df9, 0x7dbec3a4, 0x5a628e44, 0xeccf6b0a, 0xe14f28e7,
+    0x357908c1, 0xffc4f7d6, 0x4c8509c2, 0xbbd2d9ac, 0xe8f8087e, 0x01d5a07b, 0x01ddcbed, 0xbeb15986,
+    0x616d892a, 0xdf8b1120, 0xb3283834, 0xc155f7a2, 0x0140f5bb, 0x309d5cf3, 0x425263f2, 0xd8c8cdef,
+    0x3cd942ab, 0x87c74620, 0x3257767f, 0xeea6b42d, 0x3538cb80, 0x0d8aefe3, 0x52caef11, 0xcde61269,
+    0x02573917, 0x2498d8c1, 0xf592a249, 0xab15c507, 0xff39c6c3, 0x6ed7d23d, 0xdde282e1, 0xa8054ba7,
+    0x4fdabed3, 0x224514f4, 0x10d1b989, 0x1cc7260a, 0xff3226f6, 0xcd53e80e, 0x5cff449f, 0x6f97521d,
+    0x835b39f9, 0xf30c08fa, 0x66a572d3, 0x4a8a4c50, 0x8baaf814, 0x1b68c908, 0xbc855048, 0x9b35d24c,
+    0x3b2f7c83, 0xc4a65b6a, 0x7effafc9, 0x57437474, 0x5e14638b, 0xbb1d0b77, 0x20f3408f, 0xae5a7e1a,
+    0x084b029c, 0x61fe9a06, 0x93360314, 0x31cec52b, 0xb37d2471, 0x00f90947, 0x27228f11, 0xc62176d2,
+    0x3366497a, 0x034c9d7e, 0x0b38c143, 0xfd64d929, 0x5f9ed00d, 0x66207997, 0x12c3221d, 0x7264c3c5,
+    0x96c59cd1, 0xe7461c71, 0xed919e91, 0x0a0cbac2, 0x79f0ddca, 0xd257c937, 0x3abf285a, 0x011f0e43,
+    0x89a7e426, 0x86afe866, 0x158c4572, 0xa1f0cb87, 0xaed08b0f, 0xcb252f5a, 0x5624001a, 0xc14d7cbe,
+    0x575c1791, 0xdf3cb10f, 0x6dca76a1, 0x75621bd0, 0x92695c39, 0x4b1d4320, 0x440d5e59, 0x901f5800,
+    0x01513152, 0x507fd6ee, 0x41e3d9e0, 0x478e04db, 0x6505fa7a, 0x78c3c3c8, 0x0ac599e3, 0xf55cd5f9,
+    0xa5c41433, 0x38fd10dc, 0xb6d6e5fe, 0x4c55969a, 0x066e7e31, 0x0d70ae19, 0xc01ac004, 0xa3e89d5e,
+    0x38cf8e17, 0x43969161, 0xaca91c08, 0x48978f40, 0xf5305552, 0x36fa810d, 0x50a0c3f3, 0xcfcb4ea5,
+    0xd6bd3f63, 0x0e2b9983, 0xa2af3d45, 0x3d63b243, 0x9b54bef8, 0x7ed9de04, 0xca6ae7ed, 0xec909eb6,
+    0xb0529654, 0x8c486a17, 0x5249538a, 0x6b012798, 0x8b00f1ec, 0x37fb1c78, 0x6fdbfc67, 0x2edda0c8,
+    0x3f2dd2bd, 0x85493b7e, 0xd69094cb, 0xb6d0d89a, 0xc65cda5c, 0x657ca542, 0x24424cc1, 0xb65d4c08,
+    0x685085ac, 0xc5e50c7f, 0x4e020922, 0xc3cdc743, 0x226b4387, 0x913a1987, 0x6e7e2601, 0x4c4a0d4c,
+    0x0ab30be8, 0x3b7264f2, 0x76a74b5c, 0xcbbb93a5, 0x89a0ca1c, 0x43044333, 0x6eba216e, 0x5924cc81,
+    0xdb7f5f39, 0xfdafaae7, 0xf47f36b0, 0x07d33e1e, 0xc6b277de, 0x82e26bd5, 0x26f49b89, 0x396350d0,
+    0x37ad8ca5, 0xf129ddb8, 0x86656e19, 0x00d5e81a, 0x49d05537, 0x917cfcac, 0x6ad8143c, 0x47851027,
+    0x60c858c5, 0xda2e8fda, 0xcc1379ca, 0x15d85d17, 0x3e53971f, 0x5290dd36, 0xadc542fb, 0x68bbe798,
+    0xffd8e5b4, 0x9d1c8383, 0xc9ae8b92, 0xf0c276e4, 0xa5082b01, 0x779e683d, 0x3b123e9b, 0xfcf96504,
+    0xfa0bac5c, 0xed98736b, 0x72289e6e, 0x78eb715f, 0xdae0ce4c, 0xaac4c854, 0x2d17799e, 0xfb74b5c2,
+    0x41aca6ee, 0x1e5d6ad6, 0x10c08b1f, 0x151da184, 0x6da7d42e, 0x00db10c1, 0x375b0378, 0x5b894e16,
+    0x505560cd, 0xdd079949, 0xd4a673b9, 0xac8d5b91, 0x7f80b7ce, 0xf7d79977, 0xd0b3b0a4, 0xa2c2cc84,
+    0x09702b97, 0x9eef8bd4, 0xeaea0564, 0x9c478b80, 0x6e308ef7, 0xde8221c3, 0x7d0c3811, 0x56a90202,
+    0x40f2e847, 0x609b7c4c, 0x6e37968b, 0x74ec22f8, 0x4e21caf8, 0xb3b2a0d4, 0x867d8ff3, 0x64d51178,
+    0x321d510c, 0xbee55639, 0xa5abeb17, 0x76317e2c, 0x40dd1311, 0x7dc95a7f, 0x0c6e44b5, 0x6d8d3ac0,
+    0xe88866c4, 0x44fb0214, 0x23964f19, 0xc88c2064, 0xd594096c, 0x1fb8626f, 0xebcd02ac, 0xf8f4d77b,
+    0xceb4c21e, 0x4fe26bfb, 0x6ed28a72, 0x2bb51851, 0x25126390, 0x4506a24d, 0x1cb02b8a, 0xdc4dea66,
+    0x3e4f5c04, 0xb6a2d636, 0x5af035ae, 0x9dbae5b8, 0xd924c217, 0xc72b50f9, 0x7620e741, 0xfc105b3f,
+    0xde783531, 0x3af83f37, 0x26559050, 0xb7f94332, 0x2e797451, 0xbe3a2708, 0x47944c56, 0xcfc35ffd,
+    0x2a252594, 0x1f634661, 0x50c4438c, 0xccf150e8, 0xb58b266a, 0x97cfcefe, 0xaf299a71, 0x1a158f27,
+    0xcde56af2, 0x17d64835, 0x0cc079cf, 0xdef19001, 0x7da6a068, 0xabaf3436, 0xd3ddc6f0, 0x610de184,
+    0xaebf6fec, 0x3d1f15f8, 0x7a59052a, 0xd712d658, 0x6171b8ee, 0x19dd7907, 0xa15c0798, 0x2321b6f3,
+    0xa9e1b342, 0x2e981c92, 0xd76c45f6, 0xc652db91, 0xb7e4fad2, 0xa289fbef, 0x77480586, 0xbd86fbd7,
+    0xab1cff8c, 0x4fdd392a, 0xdbd6daae, 0x2618c7d0, 0x9d8e5d91, 0xb5b884f5, 0x9f2a3bd7, 0x7d1cd0a3,
+    0xe5322ee6, 0x04ffb1d7, 0x98e7194a, 0xf3d3dcd0, 0xc355d0ce, 0xc1b8c5bb, 0xb6372d03, 0x383c0c2a,
+    0x473140c7, 0x5575b3ea, 0x3cac2b3c, 0x58f48287, 0x0207997e, 0xbb443ed5, 0x8e1aba56, 0xff76a7b0,
+    0x657cd443, 0x0df825cc, 0xc48dcf6d, 0x5d3848d1, 0xeddcabfa, 0x8681894e, 0xd8c59dee, 0x334e9add,
+    0x625f1718, 0xbb523e56, 0xd90234b4, 0x93d0da96, 0xe14bfb5e, 0xaa824e32, 0x15a6678f, 0xe8c16721,
+    0xe94b193b, 0x9ecf0ff6, 0xae0e8a02, 0x905b2f18, 0x11189225, 0x28d1e67c, 0xdf542f83, 0xeaed9a7e,
+    0x73db39cc, 0x77a45d48, 0x73c06d61, 0x61eb9b5d, 0xd520177c, 0x1eb12f39, 0xa9bfb7bf, 0xb7348b79,
+    0x4c0a8343, 0x394a35f5, 0x52588fc0, 0x0a990194, 0x6e489662, 0xbc1e7aa8, 0x2d5e3a1f, 0x8ff6daf2,
+    0x5d397ce1, 0x35672321, 0xfe40af35, 0x72d4969a, 0x635e2803, 0x4317124b, 0x7592664f, 0x120b5d32,
+    0x22f6e900, 0x546a0270, 0xab4dd9b4, 0xa88299b6, 0x6cfe6440, 0x4bc0f6f9, 0x0484d4fc, 0x39e5cc2e,
+    0x2eb8b6a9, 0x39029954, 0x12c49a00, 0x6a4fe2a6, 0xa7af5dd9, 0x1004c0f2, 0x955e6a8f, 0x4a0a2835,
+    0x289cca10, 0x31e5f003, 0xe77d54fb, 0x58f3d067, 0x62663089, 0xa5226876, 0x36e26387, 0xd09563ef,
+    0xf38fe910, 0x326e56fc, 0x37e000be, 0xa6f190de, 0x403e7f03, 0x95cf77af, 0xc060a8ba, 0xac92e9be,
+    0xb8d0e347, 0x2768f0b6, 0x16efbadb, 0xdf75363e, 0x2d0196c6, 0x297a7f6a, 0x26f630dc, 0x949f38b2,
+    0x8edcb560, 0x2a8c0b13, 0xbb4e18f7, 0xf710440c, 0xe85224d4, 0x37ba625b, 0xb0ddace4, 0x980b73a7,
+    0xf61a87cf, 0xa89b49fe, 0x2616a767, 0x26d9311c, 0x88591e8b, 0x83025e81, 0xd8ac81a0, 0x7973099a,
+    0x90009117, 0x8554e03b, 0xb19a5a09, 0xb46f8365, 0xd5095bf1, 0x6e5f40bd, 0x4f6c8fd7, 0x94170823,
+    0x99e7062b, 0xa16b7bd8, 0x5a0f29f9, 0x861497b7, 0xc6de31f4, 0x3838bebb, 0xfdd99d8c, 0x7d860f3e,
+    0x5e6f5efb, 0x838bafd5, 0x74a7c71c, 0xc97fdb31, 0xac87d314, 0x8859f695, 0x582e96d3, 0x4beaff4c,
+    0x6c910c28, 0x72b9c073, 0x2d296502, 0x31c5faa3, 0xc67c5c18, 0x5ccd72fd, 0x66327927, 0x6d5bd525,
+    0x6100dd30, 0x5cfae1d9, 0xdb4ec095, 0xc2092420, 0x6d08c055, 0xc37fc2ac, 0x64dcc813, 0xfb6c33df,
+    0xe4dea3f1, 0xa6d9150c, 0x18898588, 0x79fe0cfe, 0x5210936d, 0xbe68e606, 0x344e9143, 0xc5ce3645,
+    0x3d59252c, 0x9982f3bc, 0x1b8dab76, 0x94c577c4, 0xd164a6f5, 0x6b65b431, 0x511fba06, 0x49de8975,
+    0xd690b18a, 0x4d8a355a, 0x3d6f7b6b, 0x232635de, 0x58dbb660, 0x59a988ac, 0xecf5d1f6, 0x506cbe62,
+    0x55505e2b, 0x4ad8d402, 0x26c5818f, 0xb0cbcad4, 0x8c5f6c0e, 0x6609ff39, 0xb12dddf0, 0xfbfd7da9,
+    0xaaaf9e4d, 0x4e8e07de, 0x65cd6f41, 0x1b11daae, 0x3259e4bb, 0xdacc6768, 0x9bc900e2, 0xf7a39234,
+    0xe703254d, 0x74212a62, 0x8f167877, 0x6526547e, 0x1556bd2a, 0xb775f339, 0xbaf73c95, 0x9e90917d,
+    0xb0b1fdfb, 0xe437da50, 0x764a1a71, 0xaf73aa4e, 0xca697a16, 0xf08db66f, 0x93d81aac, 0xa2a1263f,
+    0x029d2ada, 0x07a5cb82, 0xedb32ec5, 0xeedf8dc5, 0xdd769cbc, 0xbd3cbc96, 0xd1995abd, 0x783b72d6,
+    0xfd1ce7c0, 0x9a11f43e, 0x6e2daafc, 0x7c0d99a0, 0x4e564252, 0xf97c1ca3, 0x7ad8566f, 0x2c6af44b,
+    0xa79a2874, 0x2786060f, 0xe3dbcfca, 0x94f0fa45, 0x495f3d26, 0x6364d487, 0x7b1c01a1, 0x2a3ab363,
+    0x000fc792, 0xa676499d, 0x2510e3bd, 0xaa1ec34c, 0xeff9dce5, 0x53e3ca31, 0x8ffe45cf, 0x1b53da8e,
+    0x57d1d66f, 0x5970f031, 0x3584acfd, 0xbd6ba975, 0xd7b06954, 0xf2ff04cb, 0x86db5e4a, 0x27f473dd,
+    0xc33f78b7, 0xb733577f, 0xfa55e452, 0x8c91a769, 0x1f1eb4c5, 0x39de64fc, 0x39c8a357, 0x6e409f10,
+    0x98581ea2, 0x9783633e, 0xc9da9809, 0x235923cc, 0x71336965, 0x7dfef899, 0xd7970954, 0x2e37c03c,
+    0x0d21de36, 0x58c243b8, 0x070eb7b1, 0x3caac74f, 0x9bf27341, 0xed065288, 0x3550ba17, 0xefccb56d,
+    0x7033f3d3, 0x9520145b, 0x516aa812, 0x7ae778e4, 0x46010d48, 0x27e919bf, 0xee3517d5, 0x684160bb,
+    0x445cdce0, 0xb3de5f2b, 0x2d3d7c52, 0x1a5edfa6, 0x5cad20ab, 0x259bf9eb, 0xbdb5e9f4, 0x96362c36,
+    0x7ce9880e, 0x65734b64, 0x7f57ee78, 0xe2c4496d, 0x236c6461, 0x39229ca2, 0x5984fbff, 0x2e596cb3,
+    0xa778dcb9, 0xc82529e3, 0xde2fffe3, 0x9253ab70, 0xcbc89a95, 0x81cf4a3e, 0x8a74d395, 0x6264cf8b,
+    0x72bcab3b, 0xc3c5d118, 0xb442fd22, 0xc04e19ed, 0xf5bc922e, 0x413e2d4f, 0xf86e0c30, 0xc8508320,
+    0x7e696588, 0x1393cb3f, 0x1f5e6e13, 0x0b9c2678, 0x366e42a2, 0x724c49ff, 0xbb9e7252, 0x8affc6cb,
+    0x147ffc11, 0x0021f378, 0x95c94522, 0x05a6bb04, 0xb41aa325, 0xfa697bae, 0x37f9328a, 0x15bca2c9,
+    0x7d77cd0b, 0xeaaf90fd, 0x33b18d4c, 0x3065f783, 0x82b05bcb, 0x3304f293, 0x15a550e1, 0x7ffdb860,
+    0x97db9397, 0xa54ba419, 0xc4557f38, 0x358db0d3, 0x5f6cdff8, 0xd638ddd3, 0xc8a23a29, 0x6a38d8f7,
+    0x9af6dcfa, 0xc2e7ea8c, 0x7a5496f0, 0x8dab358a, 0x479869b9, 0x6822e90d, 0x18026444, 0x1c356a87,
+    0x72c77170, 0x04405cc3, 0x14dd7ab5, 0x9dc07a5b, 0xd4135558, 0xefd861f7, 0xf0eac1dc, 0x288e7412,
+    0x71318cb5, 0xbe8627fa, 0x90c5f61e, 0x5f9bf634, 0x01abad34, 0x9e48268d, 0x1edb811d, 0x3c9465db,
+    0xf6f952cf, 0xc8e0470b, 0xd2b2a87a, 0x7274c689, 0x157a366a, 0xee8ee980, 0xc9a4e3c4, 0x13bd47b8,
+    0x90c891f8, 0xa260cba1, 0x9a193286, 0x9b085ec5, 0x11728835, 0x034f6021, 0x3edcda8f, 0x8229ffb2,
+    0x342275dc, 0xdd3c6827, 0x1fe63c0c, 0x331b520c, 0xa9866333, 0x2ee70e3f, 0x99947ed8, 0x8a4463b4,
+    0x75751f4b, 0xa9339fe0, 0x159416c9, 0xff894414, 0x9b97e646, 0xa914dc18, 0x8f76c62a, 0xd961b1b1,
+    0x8eed29cd, 0x73aac538, 0x7cf995bc, 0x35951d2c, 0xacc1a1b6, 0x90ca8fbb, 0xdbb2f4ef, 0x44cd2b42,
+    0xdd7bd89c, 0x260e9da4, 0xfbd9be66, 0xf401c3ff, 0x164fdd7b, 0x3ccead60, 0x7f392cf6, 0xeaf6dd87,
+    0x223fd549, 0xe2cc9837, 0x85b859ef, 0x49927e95, 0x9d455c15, 0x55f1a45d, 0x787beab0, 0x6a5e91d4,
+    0x03702c6c, 0xb0fce3e0, 0xeffbbfd6, 0x63e1d748, 0x784cdf88, 0x14d00545, 0x160e89da, 0x9a829b99,
+    0x3c1027b3, 0x0e00feb0, 0x22e63956, 0x00514bd1, 0xd778da43, 0x84ba3532, 0xfcb5dd58, 0x41ca7a33,
+    0x5ce54a5f, 0xafe2e176, 0x54de6270, 0xa53079ea, 0x86d08e05, 0xa315a6f0, 0x0f001f5c, 0x410f0781,
+    0xac7b7155, 0x7c35e3c1, 0xe4a9cb52, 0x0c9270b8, 0x1e0adbdc, 0xfea5d167, 0xc59f26ba, 0xacc6f16f,
+    0xc6381428, 0x2cbd083c, 0x28fdd7d4, 0x33391565, 0x09a5fb6a, 0x5cfff0ce, 0x198cfb14, 0xf77db863,
+    0xbca6502d, 0x31c16aa1, 0xbc5e8136, 0x095f724f, 0x83c1e2ed, 0x579a3c67, 0x85f0a13e, 0xf1a18ba1,
+    0x3159bd06, 0xc7fbb10a, 0x9f09a34b, 0x91da5114, 0x8442ceda, 0x14a2c0d0, 0x2fde0274, 0x7dc12e6d,
+    0xd33095d9, 0xb666fe2a, 0xfbb22a23, 0x1aacfbca, 0xbb223b7d, 0xc6befa42, 0x2b4c4e32, 0x18855875,
+    0x2c872ec3, 0xf10c5df2, 0x065a4044, 0x462a4790, 0xbba5d309, 0xead309d4, 0xee459060, 0x6ef59000,
+    0x71f4fbe8, 0x40908a77, 0x53c95f64, 0xd6389231, 0xcf5715c1, 0x907bc39c, 0x1d897362, 0x343bdc64,
+    0x5d728fdb, 0xff36d79e, 0x5db02e34, 0xe1dd0120, 0x4ad09868, 0x15145064, 0xbf8db33b, 0xa66ab46f,
+    0x4d62a994, 0xccb79195, 0xc5cbb4f9, 0x87d45592, 0xf13bd754, 0xbe64456c, 0x02ab24e6, 0x37988d90,
+    0x6a8e0069, 0x0cfae932, 0x3701e434, 0x88960045, 0xc10b34bf, 0xe1cf6217, 0xcd4c1a32, 0x063a1b10,
+    0x1c96852f, 0x48b219d9, 0xbf212ef5, 0x94eac155, 0x85c49782, 0x704d63f9, 0x2f9b04b8, 0x6a9d8d1e,
+    0x22d65759, 0x005be752, 0x03c7a375, 0x39310f11, 0x036fb7e4, 0xa9151781, 0xc059326f, 0xc14002ce,
+    0x9fde942c, 0xc7091a72, 0xf980f8c4, 0xcc6101ef, 0xefb5a526, 0x370cf80d, 0xc4981356, 0x50bf5409,
+    0x78d451ad, 0x8304be9d, 0x88bc9c78, 0xfc8c233c, 0xab2d637e, 0x2ecdcbc5, 0xd61300c4, 0x193f0d23,
+    0x8c6dab59, 0x624daf4d, 0x7cb7d211, 0x5007d2a4, 0x1ff97477, 0x7cc375b2, 0xd24b3f1f, 0x99f58568,
+    0x9de0ed19, 0xfe1a1c05, 0xffdb30cb, 0x6bf3398d, 0x09ce833f, 0x467777ee, 0x17c9f3d2, 0x8b5f2fca,
+    0x6e79344e, 0x10a61e7e, 0x895fd73c, 0x0824624d, 0xa8f04204, 0x3e301559, 0xcc129a76, 0x4c7f857b,
+    0x0b48f0b3, 0xe7715aa2, 0xdba88c60, 0xb6a607c0, 0xc6a33ee4, 0x7473e5ae, 0x9bb5b40c, 0xbec127b9,
+    0xdd4674cf, 0xd28b125b, 0x484e3121, 0xc30223c2, 0x359019aa, 0x617d4d86, 0xcd1f6456, 0x4cc4b73f,
+    0x8a6919c8, 0xed95143c, 0x422308b4, 0x0a13fe50, 0xdb8b077f, 0xc18422c9, 0xfaba58be, 0xeed6dd42,
+    0x00000000 }, /* 10**-00000000000000000000000221813575529665188766273134731446696274914966030065326\
+                          01363836644916970462445004984319795248833116624779129687691228574631793262592 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131,
+    0x4ac5b925, 0x4dfdf461, 0xe98be66b, 0xc08588ab, 0x8317076d, 0x0552714b, 0xd0a7af28, 0x46dfea67,
+    0x00000000,
+    0xe4e6647e, 0x9d4f6fbd, 0x6c589136, 0x22947a8b, 0xaed3c2a6, 0x2bf9cbb3, 0xac18850f, 0x9d82cda9,
+    0x60ab675b, 0x63fd97ba, 0x3b4628f8, 0x758d34b3, 0xe196f5a3, 0xc98766c7, 0x98a45dd0, 0x08ef2597,
+    0x0a23c60a, 0x78ca4012, 0xf260a720, 0xbc42ee47, 0x7c486001, 0xf20e26b5, 0xcebb488f, 0x7d2934f9,
+    0x52522ab8, 0x34b15311, 0x0eee0449, 0x116f99d0, 0x6361607c, 0xb5904b5f, 0x4a2f5a9b, 0x2a9d04bc,
+    0x472a0a63, 0x1cccf25b, 0xb731cdcb, 0xe7d7d79a, 0x05d8b3f7, 0x4cac93a0, 0xfae15bef, 0xfe225778,
+    0xa9f691cb, 0x228f0a58, 0xd209c56d, 0xd9c2fbc3, 0x648f934c, 0x9f11cf3f, 0xd160446f, 0xd82f2c3c,
+    0x976cf56d, 0x45c8500b, 0x606ffa9d, 0x34f71638, 0xfc34af66, 0x1d4ceba6, 0xe7c7d0c7, 0x28385774,
+    0x0d68efc8, 0xb5fa3638, 0xf75d06c9, 0xd79e5822, 0x933c2a8d, 0x0ef01594, 0xb59742f8, 0x466e5496,
+    0xf5f8b276, 0x31eba6c3, 0x2b85415a, 0x63bc9620, 0xb8f1a3f6, 0xee1f9ada, 0xb7f68a5c, 0x28cb82ad,
+    0x4ada4066, 0xcb6aa6e7, 0x53a97745, 0xaa2b0125, 0x10cf081d, 0xc96a262e, 0x52bddae3, 0xf253099b,
+    0x412db016, 0xfa8814c7, 0xe4ec5e46, 0x7aed5a63, 0x80353b00, 0xdaf16209, 0xe878e116, 0x408115bf,
+    0x6c0cb7b2, 0x6e27fd00, 0xd34fef8f, 0x2afd857b, 0xf9da8201, 0x3a1de502, 0xa2c7d578, 0x55f07059,
+    0x1bcb3de7, 0x45164c17, 0xe06d6fd1, 0x591acdb8, 0x99bd4aef, 0xd2f3d4fd, 0xc2bebe28, 0xd69f4290,
+    0xe8771787, 0xdd77e7f7, 0x4ea834c4, 0x94765eda, 0x1ef31ce0, 0xe6945cd2, 0x75435a4a, 0x8b0e82d4,
+    0x62946487, 0x020b993f, 0x31fd504e, 0x748a04be, 0x3a9ed545, 0xd589122d, 0xc0b28ddb, 0x018e0a28,
+    0x40f6e09d, 0xf013af4a, 0x465f063d, 0xe7a2d133, 0xd7de8bec, 0xaf6ec403, 0xb2cbf7d5, 0x148bdc19,
+    0xf81ea90e, 0xdcb97c48, 0xc13a5467, 0xc0ce4a4e, 0x784b99cc, 0x60018776, 0xc939ea7a, 0xb2e4103c,
+    0x5eda6fb0, 0xbdac471e, 0xdbd8dbb3, 0xe970592b, 0x3a18d263, 0xa9e527fd, 0x25ab932f, 0x6b2443fa,
+    0x799d149b, 0x2ebf6f74, 0xd5f0d1c5, 0x5b5e2198, 0xc74ad28c, 0xb48a3867, 0x918b79d2, 0xb8c12200,
+    0x9805f88c, 0xedb5fe5f, 0xcf0b145b, 0xf4b89654, 0x9eafbfe6, 0x05d8c4c4, 0xaff0e421, 0x70405e7f,
+    0x6616e943, 0x3608ed0b, 0x70c72bcc, 0xa2be8769, 0x01766340, 0xb5508735, 0xf1896079, 0x3b035593,
+    0x4687abac, 0x6851c170, 0x83a24ec5, 0xdf92ad30, 0x241df72c, 0xc532f70f, 0xfa7cd482, 0x81710d34,
+    0xa8bb2284, 0x5d9baae3, 0xaa7a44a4, 0x4a90d5fd, 0x9ab09ce7, 0x4175b313, 0x9f4be664, 0xf199e8d5,
+    0x65c3f0e3, 0xb14a71ee, 0x6f4b404d, 0x6b2f33a9, 0x22b0c68f, 0x6afe0903, 0x3088b851, 0xe1ebdb5d,
+    0xc1a2311a, 0x08709fac, 0xdbb7ec94, 0x134cc7be, 0x353f7179, 0x9070b4b0, 0x8d2c5adf, 0xcd609c31,
+    0xe844857c, 0xb517d08c, 0xa9b5ee14, 0xe7e5a5ba, 0xa978386e, 0x1ab3e34c, 0xd67aa27b, 0x1a30d0b1,
+    0x65adf0ae, 0x50280fe3, 0xe7ebc7a6, 0xa0570033, 0x19659343, 0x3ba0f02c, 0x20e1cf7b, 0x5f7e6691,
+    0x8416c158, 0x81ac1f59, 0x43e93b87, 0xc7e2aca6, 0x53c040fe, 0xcf7f9443, 0xa34b3690, 0x7250f136,
+    0x1cc7f1ba, 0x10f11820, 0xf29aa3a6, 0x5c1626fb, 0x6ca0b08f, 0x6dceb2a7, 0xfac7c7a7, 0x9a371e08,
+    0xf066d076, 0x6a2add6a, 0xd429fdd4, 0x96ffa183, 0xa833f80c, 0xca37dd6c, 0x0081dd68, 0xa6a99caf,
+    0xe80e952d, 0x1b28c893, 0x94f026a5, 0xa2c6b754, 0xee50f458, 0x07501681, 0xb2dac393, 0x0e82f432,
+    0x72aa5fd1, 0xac43b148, 0x4ea1ac9c, 0xce8fa6f9, 0x6fa9f5b0, 0x4f1ce5b6, 0x259c6fc7, 0xd08dcf19,
+    0x7b3397b3, 0x428feb50, 0xc3843851, 0xcf4014fa, 0xa72aede6, 0x61662149, 0x15646908, 0x52c30839,
+    0x96b39b2c, 0xa3bf654e, 0x13a213cc, 0xf4d0e128, 0x4ac675be, 0x95f30540, 0x3f263c67, 0x4fd21431,
+    0x26818b37, 0x052a37ed, 0x2270c0d2, 0x99e9a4fb, 0xe7fe68bb, 0xea59be53, 0x6dbbe5e8, 0x01ee8e63,
+    0xe85f563b, 0x706ee6a0, 0x1d289bd8, 0x4e0b85eb, 0x69c21f9c, 0x6f542acf, 0x603bd493, 0x4bfb535e,
+    0xa93be057, 0x3e21f7d9, 0x0dfec0d4, 0x380a7a55, 0x61e90aaa, 0x41155663, 0xd700b3ac, 0x8987356f,
+    0xf8386000, 0x56750ce7, 0x56c030b3, 0x80b2ea40, 0xa145ae14, 0x147d4364, 0xafb5a147, 0x6a5cc8a4,
+    0xca84ee78, 0x5fc14ae1, 0xca490b16, 0xc75c1bf4, 0xb7cdc921, 0x88c93b36, 0xefd63e93, 0x3a5e6f30,
+    0xbf2be0aa, 0x2c62bf32, 0x365597ea, 0x49d87e17, 0x3ffa4958, 0x8d52556f, 0xd081a37e, 0x7d2fbd69,
+    0x5e289424, 0x5dfdf702, 0xb9dee6b1, 0x05be9d20, 0x25dbfdfe, 0x64518fc1, 0x085d1fbb, 0x978ed70b,
+    0xdec81362, 0xceec0cc2, 0x4a45e5ce, 0x2917f663, 0x662470af, 0x381beaaf, 0x44e5cf22, 0xfbda119a,
+    0x4702b143, 0x9945908f, 0x4bbb78f5, 0x76124279, 0x0bb344f0, 0x0edeb4e2, 0x3ce1aaa9, 0x69834605,
+    0x521cb32c, 0x97e7bb9b, 0x9102fec8, 0x2f87982e, 0xb5852581, 0x147b3efd, 0xaa6cece5, 0xa144b41d,
+    0x3fd5c372, 0xb4942dc4, 0x8a0121f8, 0x77aae3f4, 0xec53c242, 0x5f715ab0, 0x17029da9, 0xf66201b3,
+    0x6610d731, 0xf641cb8c, 0x8b3bb2ce, 0xbc7af51c, 0x891edb14, 0x07e72cf9, 0x4f68bded, 0xb53c3385,
+    0xffa62ecf, 0xc45b5b32, 0xf02d7a15, 0xc39744ce, 0x7e232855, 0xf11e807e, 0x8d64cd40, 0xf3388720,
+    0xde05de2b, 0x13f9aee1, 0x9580c1fd, 0xd7e4f426, 0xbcff5ef1, 0x9b2da4a4, 0x3526877b, 0xc15d6b28,
+    0x1114f9a9, 0x4d2dbea8, 0x8151cd87, 0x5aa633cb, 0x1b0d0530, 0x92980e3e, 0xfc7866f5, 0xb432d652,
+    0x6406ba8b, 0x73f89b7c, 0x5ad7e95f, 0x1f951c71, 0x636dbcea, 0xc3cbedb3, 0x40b5714d, 0xc63f7af6,
+    0x2cd466aa, 0x5322e9e2, 0x44e2405a, 0xa1c53e8b, 0x0c2b6b76, 0x6ebe05c0, 0xb9645363, 0x91ec8189,
+    0x44837f8e, 0x75c5af44, 0x6be051c5, 0x6047aa52, 0xcbf4d708, 0x403adfa7, 0x408d5619, 0x27c4cf56,
+    0x8300cdbb, 0x01116a27, 0xd4b6c3b6, 0xe8275aec, 0x2c28cef0, 0x9d8048dd, 0xf0536f32, 0xb8d0b814,
+    0x36041fc0, 0x8b263c6a, 0xe6769942, 0x33901d56, 0xbfad6ed0, 0x9dd6da00, 0xc4038b56, 0x2e892832,
+    0x6c037618, 0x2c82db1f, 0xe6714c52, 0x330a405d, 0x8c096a9d, 0x2810a7b7, 0x58736154, 0xd4f45a36,
+    0xaf913427, 0x6d564e83, 0x05737fbb, 0xf9a7df66, 0x0035a3b8, 0x65478cd5, 0x495a5fd9, 0x6c584b47,
+    0x4c9dc04e, 0x9562cea2, 0x90f2d650, 0xe6b142c7, 0x678b1c0e, 0x7356e8dd, 0x58d03439, 0x03633cbf,
+    0x9be288cc, 0x02c6a8b0, 0x88eaa473, 0x2000b1f5, 0xbcca1921, 0x9bc3192a, 0xa442b33d, 0xb6455507,
+    0x3fcd9cfa, 0x41fd3511, 0x72161d91, 0x0802cf5e, 0xe4844c95, 0xe1577a14, 0x42bb0acc, 0x37a896ac,
+    0x8099f09e, 0x4c0f9fd5, 0x511b62a7, 0xff04cafe, 0xe1b965e6, 0xa3951bae, 0x92f3b8e1, 0x6387a354,
+    0x70f884ba, 0x970b8f9c, 0x09a22ef3, 0xa003cba0, 0xd43f5ea4, 0x56ca8c1e, 0xc73b996c, 0xb6152635,
+    0x7dd9b633, 0x1529535e, 0xb2e31e1a, 0xc3fa5715, 0xa3b2296a, 0x774c05e8, 0x4ccd0d24, 0x7fe4510f,
+    0xf12d1f08, 0xb4e1a622, 0x7468bf81, 0x8fe86d73, 0x28caa15a, 0xe6551b4a, 0x86fbf8bb, 0xaf37232d,
+    0x95ded2f7, 0xf6f6b87e, 0x11c16796, 0x83dd32f3, 0xe9267f0e, 0xf722176a, 0x828691e2, 0x560bb8b3,
+    0x9e01e9f8, 0x599b7aa2, 0x13438432, 0xf6c33156, 0x6dda8034, 0x7624d9ff, 0x08edd67c, 0xe43ec1cd,
+    0x8a3f1ec9, 0x6964e736, 0x6d261637, 0x5b67dcd8, 0x988ddfd7, 0xc907da9f, 0xe5bec1ac, 0xd49942bc,
+    0x366ddc8f, 0xbc38f14e, 0xa39fba61, 0x66189e75, 0x80cc711d, 0x5aa71537, 0x72e1b3ac, 0xe7e851f6,
+    0x32d5cc93, 0xb20682cb, 0x2c603d32, 0x7f0909fb, 0x8f8c0736, 0x0aed9289, 0xaf4fdc7a, 0xe36c03c8,
+    0xc2b84a4f, 0x16a277a2, 0xeade305f, 0xb2ffca44, 0x1f431e4b, 0x2e81bf67, 0xf8e426d1, 0x52ade592,
+    0x5f59725b, 0x3e08c929, 0x1e13d1bc, 0x4f14b7fa, 0x66b243a7, 0xee77e60f, 0x2ed7b7b4, 0x019e6394,
+    0x1d50cae7, 0x3f7cf345, 0x69f4eae1, 0x58127e96, 0x7950dcc5, 0x283dfc15, 0xca54c743, 0x27444234,
+    0x5a5780ae, 0xe1008c52, 0xd2947113, 0x26b01588, 0xabf54e33, 0x0e607b9f, 0x7f425bdb, 0x6f81a709,
+    0x54d7b90f, 0x3c41215a, 0x8618b691, 0x43098844, 0x3d031ca8, 0x0577804b, 0xc82eb78a, 0xf0ead4c8,
+    0x53cb5e78, 0x4d528d55, 0xe8d5f661, 0x3382984e, 0xdac0e356, 0xe8f09a6b, 0xe5109ff6, 0xdbdb6d76,
+    0x717716c5, 0xf4cc8475, 0xe24d8b4f, 0x437cdc92, 0xa3df1539, 0x5bb8eeff, 0x41b918ac, 0xbc11974f,
+    0x2ae1e541, 0x63d03234, 0x54941360, 0xc172f68f, 0xa85bd30d, 0xaeff0d46, 0x9c48008a, 0x45091b30,
+    0x00b457bb, 0xc3cf0f31, 0x60a87b2c, 0x741b2565, 0x9163842c, 0x2ab9aad0, 0xfa4d5ef1, 0xcf174ad0,
+    0x68558647, 0x04c3c13c, 0xadfc387f, 0x62fb9ba1, 0x31912c11, 0xf36e5489, 0x5885d16f, 0x57c95e23,
+    0x06aee93e, 0x439d478a, 0xa22f81a1, 0x7ed048e4, 0xea6c58a2, 0xdd294f48, 0x0e8506a7, 0x0915c07d,
+    0x3c35c6f1, 0x766c84de, 0x217be532, 0x537be0a9, 0x1809099d, 0xf21a96ab, 0xe2dd7c2f, 0x8b92ddaf,
+    0x1fa47634, 0x0605838d, 0xe39ce5f1, 0x211de6c3, 0x49febb4c, 0x849d6e36, 0xea034ca0, 0x6ad0c706,
+    0x2ec6b6ad, 0xfb4c246f, 0xd536eba5, 0xd6e1e8c9, 0xee95b98f, 0x3385b0e0, 0x7f89d6b1, 0x0592d0ab,
+    0xcd6507d5, 0xec92ad44, 0x5c17f7d8, 0x60db9ef5, 0xea5630f2, 0x58e98b7d, 0x4188dc05, 0x0234fbe7,
+    0xeced3d9e, 0x63053efd, 0x8751f591, 0xd5c24e27, 0x48e690c1, 0xfd1545d6, 0x935b034e, 0xbd97acb1,
+    0x3ac5bb3a, 0x60e502e6, 0x674793e1, 0xc75326e0, 0x39a2bcbc, 0x77647a2d, 0xe75fd4d3, 0xf7baa2c6,
+    0x19767c4a, 0xf1beba93, 0x3b22847a, 0x2243d0d5, 0x34c614b0, 0xa2e16ef4, 0x61b03bd0, 0x303f0406,
+    0xaf13f95b, 0xf7b45e82, 0x57e11e3c, 0xadb66cf8, 0xb85f5be6, 0x7d9e4d5b, 0xfc3e8933, 0x9b08ea83,
+    0xe19f9530, 0xed890e8c, 0x7252838c, 0x8522de6f, 0x7899b8ab, 0x59101d2c, 0x03bc21b4, 0xecc1c641,
+    0x62df267d, 0x52381936, 0x7749d66c, 0xa3fe28ab, 0x472998ff, 0x016b8d8c, 0x7192fd34, 0xd63b8c8c,
+    0xdb2f1e59, 0x59f5d285, 0x96956ab2, 0xf54380f4, 0x3e3fac34, 0x06fc3c14, 0xae50790d, 0xfdc86774,
+    0x2915e081, 0xcb6fb3b9, 0x8a1f9aad, 0x6ddd350f, 0x7942d1b5, 0xd81409db, 0xe46cfa0f, 0xe9b54e38,
+    0x32a8367b, 0xe608aeb8, 0xc34b85a5, 0x6af0c85e, 0xde68dc60, 0xc226a15d, 0xd3a72ee8, 0x54fed5ee,
+    0x63b533ef, 0x38101b70, 0x392210f3, 0x9904db3b, 0x80350050, 0xef7f4001, 0x8ffcb1fc, 0xaeeb2e69,
+    0x67ec07e0, 0xdc9a26bc, 0x689f8471, 0xdf1a7eb6, 0x85b0d415, 0x575e7ea3, 0x83989508, 0x4340a3e9,
+    0xd206a3bb, 0xf285870f, 0xde341128, 0xb256a2a2, 0x062d60d0, 0xe251d944, 0xb2133624, 0xd8f2a5da,
+    0xb33d8b92, 0x6713a7f4, 0x0a123fbb, 0x3cbf7602, 0xeb5d5aa3, 0x79712a26, 0x2cbe962d, 0x4a2e5a21,
+    0xddb1f4ba, 0xce145a78, 0x70cf2f8b, 0xfa753a73, 0x4f748ed2, 0xa4f7672b, 0xa3d3ff3b, 0x6e2c4569,
+    0x19ff5485, 0xd8108017, 0x3d21d193, 0x6675a621, 0xa86b86cb, 0x61d93a5e, 0xdd1d18f7, 0x0b1ce328,
+    0xa0a77182, 0x4189707a, 0xf331f69e, 0x74fd1bc0, 0x3c17f7d9, 0xe577afbf, 0x55ff77c1, 0x6dcca05c,
+    0x6c3e22ef, 0x96f79830, 0xc0b54180, 0x9a843c76, 0xca8605b9, 0x8a8b41c1, 0xdbcac508, 0x6d407de4,
+    0x4ee2d5d0, 0x896b3144, 0xf7c0cf43, 0xfa83cd56, 0x0857bc99, 0x7327cc50, 0xcafb30bb, 0xd7460505,
+    0xe4f5f623, 0xb57d01de, 0x74b8eb28, 0xfa7b8761, 0x6a91d2ad, 0x8e7762fd, 0xc5983d9c, 0x1eeca157,
+    0xb3d44238, 0x2ccea225, 0x56c16402, 0xd19eaa46, 0x6dfd6ab4, 0x2509c1a5, 0x23aed836, 0x5407411d,
+    0x84fd1573, 0x372a3cc0, 0x874e9364, 0x07197540, 0xe8978392, 0x6440a7b3, 0x67adb41f, 0x3cf052ed,
+    0xbb3d5043, 0x42ece6ee, 0x8fde8d9e, 0xa0c58576, 0xe47e64b4, 0xdd7d1423, 0x7879f119, 0x840fd439,
+    0xaa0430d3, 0xb24b2480, 0xbbc068be, 0x817831ac, 0x5f987e7b, 0x4e4ccc6f, 0xefc97200, 0xfcf94e6b,
+    0xa144f47b, 0x8d9845b5, 0x653deb00, 0xcfe06e38, 0xa81b04dd, 0xd743180d, 0x5348bdbf, 0x275ecbf5,
+    0xf884b0d1, 0x67df6145, 0x32f99b1e, 0xbf43e78d, 0x8fc4fa78, 0xa596548a, 0xbc2f63c5, 0x5f1e9f3a,
+    0xe9747bf1, 0x51f48414, 0x47ffd773, 0x9d86189a, 0xc31fae1b, 0xd064a030, 0x640f2155, 0xf48d6183,
+    0xc32b20d7, 0x11f85113, 0x408dad73, 0xc263ccdc, 0x442ddf40, 0x155a273e, 0x8df3a6c3, 0x5ee43351,
+    0x06161733, 0x9c5421f0, 0x3c3e3f15, 0xf65960a0, 0x1bf9b9bc, 0xb337a818, 0x4afbdc77, 0x2ce17243,
+    0x8b77585c, 0x8a447967, 0xfe66282b, 0x2876255a, 0xc6339a9d, 0x8aaf3ecd, 0x668dc56d, 0xafe94b7b,
+    0x81560149, 0x1ca2d600, 0xac6c865e, 0xd804fa1e, 0x010d9a45, 0x410e3e18, 0x57f1e744, 0x8dd9e8f7,
+    0xb44f86cf, 0x49411422, 0x8b83fd16, 0x6f3aa92c, 0xbde65c69, 0xd735f50d, 0xa4fbce58, 0xbdce59c4,
+    0x93e7df01, 0x7db171ae, 0x4a25fb7f, 0x7e3ca22d, 0xff938761, 0x2b81f33d, 0x7ca969b0, 0x52e15919,
+    0xa07de4e2, 0x3b1b3942, 0x12834c85, 0x6ce571f3, 0xb782700b, 0xa31e3e17, 0xbc7fa695, 0xccde25c4,
+    0x24584e8e, 0xb47a4291, 0x9a4965b9, 0xa728a6ea, 0x1e2a4097, 0x037a244c, 0xd07ef412, 0x401a57ce,
+    0x3c26ed93, 0xdc434322, 0x9f7a3562, 0xe732d1ce, 0x178b3cf5, 0xf124a776, 0x3138d306, 0x16075636,
+    0x8be2a4c3, 0xe6184acb, 0xf1a99327, 0x9b6419c3, 0x0a52b04c, 0xa0a6c5ca, 0xb9afc00c, 0x33fb9a77,
+    0x98b8d2bd, 0xb9214490, 0xa4848498, 0x136c1290, 0x0f255e84, 0x1c557e5c, 0x71fa4f6a, 0x75317d90,
+    0x4f574cd5, 0x6acb14f3, 0xdf11f37d, 0xd6e2b36d, 0x7adc5cb0, 0x37c53841, 0xd52a89b2, 0x65b161f3,
+    0xf255cb2f, 0xebbfc5fb, 0x4eb8ed9d, 0x0ab0d651, 0x34bb4f81, 0xebb863d5, 0x66c10c60, 0xd35796a5,
+    0xef2d0652, 0xee04967a, 0x5c262e67, 0x566aba30, 0x454c5380, 0xd7ce3327, 0x79bd3202, 0x928d8ebd,
+    0x09abbaf5, 0xfd700c80, 0x85169dd6, 0xe0ba8c52, 0x3242e421, 0x82086ed7, 0x92db8567, 0xb05caec3,
+    0xbf674d7d, 0x98d92bab, 0x95290127, 0x249786e2, 0xb1e11d99, 0x8dff2e04, 0x2e1e2f2f, 0x766d8812,
+    0xb5c89e8a, 0x344c4292, 0x2ff8e986, 0xca270b7c, 0x8f18db00, 0x898eed1d, 0x5a84053d, 0x32f248b6,
+    0x00000000 }, /* 10**-00000000000000000000000110906787764832594383136567365723348137457483015032663\
+                          00681918322458485231222502492159897624416558312389564843845614287315896631296 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098,
+    0xa562dc92, 0xa6fefa30, 0xf4c5f335, 0xe042c455, 0xc18b83b6, 0x82a938a5, 0xe853d794, 0x236ff533,
+    0x00000000,
+    0xab2b8a5c, 0x785f67c7, 0x4c78ed9d, 0xd8b0ef32, 0x6b16cd6b, 0x209e6d41, 0xc5126798, 0xacfe8b84,
+    0xa3366067, 0xf04193b9, 0x28e78e9b, 0x0bb77c88, 0x8fcad18b, 0x31bc1759, 0xcbe82682, 0x49c0a978,
+    0x176ccdd5, 0x632d984d, 0xd49a02b8, 0x029b4eed, 0x940ebbcb, 0x49da0231, 0x01e98d74, 0xaf598ca7,
+    0x0e0d648c, 0x4e820954, 0x8181c966, 0xc0aa7ad8, 0x6ffe83a8, 0x7f78e4cc, 0xb2025dfe, 0xacaa2b12,
+    0xcdff0baf, 0x37420339, 0x6b515e32, 0x0228e081, 0xf3c67dc7, 0x84e4e64b, 0xfe19e5ea, 0x13a4fca9,
+    0x7f7659a9, 0x6cc8af37, 0x43ca485f, 0x597ca52d, 0x1aac413e, 0x682943c0, 0x851d67b5, 0x3cb65b56,
+    0x635ba0e7, 0x7d0244cc, 0x6342b6a3, 0x2fa7284d, 0xb94a87d3, 0x19a3b57e, 0xd16154a9, 0x1f9a3674,
+    0x4e267d6e, 0x6c3f6fd3, 0x88a00130, 0xa5d03d94, 0x05a9d09c, 0xe831079d, 0xc26668b3, 0x5ba8c4ef,
+    0x63a137fb, 0x289b032b, 0x079ec07a, 0x5d418eee, 0xaba37e4a, 0xd0768832, 0x9edf42ad, 0x8122d93c,
+    0x07be0ba6, 0xfd3dff1d, 0x85dd75fe, 0x148c8578, 0x98a4b3b3, 0x611a1c05, 0xe08f7e63, 0xab8bddf2,
+    0xa8f4c8a3, 0xe6fb66fa, 0xe7dba56e, 0x7f24bfb0, 0xe383d769, 0xd7173bf9, 0x2a735849, 0x0915a994,
+    0xc4f8366e, 0xab668f03, 0x9732ff64, 0x65c747de, 0x4e2d56d8, 0xf3c41f53, 0x5f06acbb, 0xa331e8de,
+    0x1e79da62, 0x6dc9eb0d, 0xdfdd8969, 0x6bba5984, 0x8d7324f9, 0x1615ac0d, 0xd2ddd59e, 0x45cbf508,
+    0x6b91bae7, 0xb37ef3ee, 0x236b8377, 0x9038c568, 0x73193591, 0x2767424c, 0x0bed1a2b, 0xdf05ca48,
+    0x6bf232cf, 0x00add403, 0x86f3fede, 0x87a0be1a, 0x53df63f9, 0xf3d0ee07, 0xae9c37fd, 0x6eedbf1b,
+    0x113d314e, 0x242330e8, 0x5584f9d3, 0xa45bc023, 0xbe311581, 0x06b8997c, 0x44d87d7e, 0x03a6a1fd,
+    0x7ad7daf0, 0xcab5b1f2, 0x39e747b0, 0xf90fb050, 0x63f6cd2d, 0x38a1892d, 0x9d97ac61, 0x2ecafc86,
+    0x1fe5ee38, 0x8f90b511, 0xb213c545, 0x58099de0, 0xa7379b57, 0x0db9644c, 0xc6d290a3, 0x8923fcf2,
+    0xcfbb21f4, 0xa1b831ee, 0xdf0089b2, 0x2c20af0d, 0x7d52c00a, 0x1c36fbc5, 0xaa42a22e, 0xcd0f4b62,
+    0xaa74f7f5, 0x4c50b1e3, 0x17ad050e, 0xfe9d4e4d, 0x9320c3a6, 0xc67a118c, 0x21b56d28, 0x566e7cba,
+    0x4af74647, 0x22bbb01a, 0xd50b8485, 0x51685a29, 0x4d08267e, 0xe1a513f4, 0xe34fbac6, 0xc7d02639,
+    0x173d914f, 0x3d32fe88, 0xbc924802, 0xe48b397f, 0x7f6af072, 0xac93317a, 0xb0a6f86c, 0x021a58f9,
+    0x6f52bb06, 0xa7097721, 0x799c8fa5, 0xce2dfa71, 0x09071ad5, 0x5e3c70e1, 0xda0891a6, 0xfbf82d74,
+    0x5f33dd2a, 0x5b718067, 0x677e73b2, 0x7449552b, 0x2a5a5eae, 0x615bc1a7, 0x74c9ad8e, 0x1f6f4a08,
+    0x10e0cff4, 0xfe9f613d, 0x63398c06, 0xbc31d0a7, 0x78ec5d0b, 0xb16fad45, 0x8c91cac3, 0x48d57a43,
+    0x0f13aba6, 0xaab8670e, 0x92c8c191, 0x567879ab, 0x236b89f1, 0x038b59f7, 0x12c667ee, 0x7f04086a,
+    0x95d050a7, 0x362ec3e6, 0x8fde98fd, 0xa45c06d2, 0x9b575656, 0xf6024904, 0xb692a915, 0x379aff2d,
+    0x897f3e13, 0xa41f7b33, 0x3465d070, 0xa261e362, 0x73932828, 0x16726c18, 0x4eb79bc3, 0xedbb7ff9,
+    0x21517e3a, 0x4ae18ab8, 0x05456da5, 0xac55148f, 0xf97a224c, 0xe17e195a, 0x8e024553, 0xc46d595d,
+    0x258a22ec, 0xb8c04041, 0x99294fad, 0x3c7199a0, 0x33521c87, 0x82eb254c, 0xcb7e00f1, 0x448b301b,
+    0x09c34845, 0x5fe30148, 0xd9181de9, 0xd9cddcc8, 0xd53a3121, 0x2399ccf9, 0xe6c647e9, 0x8d35a37f,
+    0xdff00970, 0xd2a82e3c, 0x1040d204, 0x63a407e6, 0x0f60c754, 0xc3c8aa84, 0x49f66c39, 0x3b563bab,
+    0xbf148cae, 0xf2cf950c, 0xcafaa7f2, 0x2cbf85de, 0x63b6b45c, 0xa056751b, 0x1803aaf1, 0x7a1c7f0e,
+    0x5c5e0c96, 0xea2f5684, 0x7e57b5e2, 0xb15ea2b3, 0xcb34547d, 0xe5166e13, 0x63514a34, 0x8175b811,
+    0x7986cc43, 0xd1b76001, 0xe16b1775, 0x2a18de33, 0x88d59b63, 0xad8c1256, 0x78f6f13a, 0x95f8fdad,
+    0xbed1c6e0, 0xd2b21c58, 0xb13447c4, 0x456d00bd, 0xc65ebf1a, 0xf6eac863, 0x7bcfd7b3, 0x43bb9c0a,
+    0x3743a504, 0x854b12e8, 0x101fc578, 0x33774341, 0x375294e1, 0xb6f8ab0f, 0x2f0537de, 0x103adabb,
+    0xcfba02bb, 0x47e18d4e, 0x7e7f82a6, 0x25ed7541, 0x27949216, 0x061672a1, 0x08f68e22, 0x5335f292,
+    0x86872738, 0x7ae98b5e, 0xa577e013, 0x6b33ad34, 0x40b2e2e9, 0x9d70bd9c, 0xb658d2dd, 0xaf045a72,
+    0xa4a51485, 0x96b8c623, 0x5074f690, 0xa94e84dd, 0xdb8157ef, 0x513f923d, 0x43f00b5e, 0xa8cacc77,
+    0x21996c72, 0x7803f3e7, 0x02f25ed9, 0x952ec0c1, 0x0c08485d, 0x94706984, 0xe617fccd, 0x1bcdabe9,
+    0x04b2172b, 0x57fa1e99, 0x5cf38e4f, 0x17522472, 0xe84b32c6, 0x05689f79, 0x00517947, 0xc7ac8daa,
+    0x04629f84, 0xd2765eb7, 0x16774b4b, 0x5b3ff89f, 0x125b8c94, 0x1e438c52, 0xf7e53700, 0x82ee46ee,
+    0xb2020ceb, 0x0fbffd2b, 0xe7e6cc78, 0x699f6c6b, 0x74b950c7, 0x0ac50231, 0x47a55887, 0x2baeb431,
+    0x72f3f94d, 0x4001e92d, 0xa4764785, 0x973ad686, 0xb6dbc309, 0x49d5f7d2, 0xdcdf4bbd, 0xc1def0af,
+    0x142565f5, 0x337f80a8, 0x0a958c1e, 0xc29408ae, 0x461196bc, 0xd0cafa25, 0xb8cce857, 0x272a96b4,
+    0xf193c105, 0x4cfb40f6, 0xe9d67539, 0xdc1df567, 0x964f1be9, 0x2abf0419, 0xcdb50fc9, 0xdd036142,
+    0x004f51e9, 0x3ac9182a, 0xaa891535, 0x800ebdb3, 0xf3b1b338, 0x2085a723, 0x41db23a9, 0xd219cbb4,
+    0x2670df19, 0x60ddc5c4, 0xc211984d, 0xa3aeb377, 0x7341585f, 0x256980e7, 0x7cdfb599, 0xc72c5052,
+    0x3e98323f, 0xe30616fd, 0xb8dfd8d5, 0x93db1bc5, 0x9fa61efa, 0xf06a1a38, 0x3d79f2cc, 0x9a79564e,
+    0x3f9471c9, 0x5e109497, 0xa0afca21, 0xc359c981, 0x35935d3c, 0x70c0a6ea, 0x2b2e4f97, 0xb66c44cd,
+    0x5e1eb129, 0xb70d087c, 0xf545a733, 0xadf9b824, 0x15fb5bd2, 0xfe9a1ed7, 0x26f56211, 0x77b5f841,
+    0x5a382292, 0x785f6fb1, 0xa3bc5f66, 0xc37d2d0f, 0x5719cff7, 0x4013d1c2, 0xfc675761, 0xf6022357,
+    0xcbc11ab1, 0xf7a2701d, 0x82a5eea6, 0xb2153c49, 0x9ea3f2fb, 0xadefe261, 0x9cd194b7, 0x9b929584,
+    0x81ecef5f, 0x9b26b92d, 0x1ee9bcf4, 0xae78adf4, 0x8e787d74, 0xcaf9fa04, 0x604a57f2, 0x6dc2bc1e,
+    0x4f6c7179, 0x84eadc51, 0x8044d14f, 0x66049feb, 0xc2f3b14b, 0x0cbfaf00, 0x55910d26, 0x10d828e9,
+    0xf5aa6a91, 0x83bd2ef0, 0x52a96f71, 0xea6dc9c9, 0x56d96a18, 0x702a58a2, 0xf142defb, 0xea5c0483,
+    0xc8edc9a6, 0x4c9a81ac, 0x82fdd52e, 0x373a9cf2, 0x0b0eba49, 0x5a3b3c55, 0x925c44ad, 0x90ee8492,
+    0x979de5cf, 0x404a0081, 0xab6e5b97, 0xcd708caf, 0xb677189e, 0xc01052e8, 0x17c60ce7, 0xc33ccf52,
+    0x3d8ec034, 0x64ec4823, 0x1dffc769, 0x8bbf5a4e, 0x143c8614, 0x92e84a1c, 0x608f8020, 0x02407a17,
+    0x5b7beba0, 0xa018ee5b, 0x4c142620, 0xb12f3b0a, 0x37af98da, 0xbfbc8094, 0x4a524b42, 0xb6608243,
+    0x8b23d8f0, 0xe8883689, 0x174ccfb0, 0x7b479168, 0x9c8828b8, 0xd8718baa, 0x2884ef7b, 0xd8cc26a6,
+    0x7fd1d2bd, 0x41f48855, 0xfdb74652, 0x33b29e12, 0xfa0f1d8f, 0x4d322649, 0xf820473e, 0xd95fd3e7,
+    0xd278fc01, 0xca55d304, 0xaf2fe3a8, 0x8f52f463, 0x1e23d312, 0x01a5b707, 0x2548ad47, 0xb63e52bf,
+    0x8a03ba1f, 0x85f1c51d, 0xd520c37e, 0x3f9ab972, 0x43b9bd95, 0x3873e428, 0xed0d060a, 0x13a4d950,
+    0xf5e07fff, 0x3fb0092c, 0x773c547e, 0x9486bf3b, 0xbc73eab1, 0xe601835a, 0xa9ec06db, 0xd2a96d44,
+    0x98ef0ed8, 0x55a50941, 0x8966b39c, 0x1834bd47, 0x3a8c6a21, 0xad5caaef, 0x435fb91e, 0x84f289a9,
+    0x55999f62, 0x72cc3924, 0xf6d51b65, 0x3f8b1480, 0x4f18d834, 0xdd19446d, 0xbc74d259, 0x7d29e59c,
+    0x8cd435cb, 0x870967a2, 0xbff624f0, 0x0f38e8c0, 0x79bb0410, 0x35500599, 0x278747bb, 0x2a71d95f,
+    0x6e141e9b, 0xe1824b25, 0xfb4c44b2, 0xf3616741, 0xb5b38d32, 0x4024ec8b, 0xfce3d18a, 0xf9714d9f,
+    0x00198837, 0x13c9f6f4, 0x2a20589e, 0xb12d7f39, 0x738fef83, 0xb9fd5cef, 0x620a98fe, 0x60dd5692,
+    0xc0a94071, 0x5c0ddc2b, 0xcb58e4e9, 0x128f8784, 0x98034839, 0x2a22309d, 0x95a4bccf, 0x06c41781,
+    0x0b5229b8, 0xc8177c05, 0x653c78f2, 0x9f942b9e, 0x27d2fd13, 0xad04a299, 0xa87e4a7c, 0x446b7360,
+    0x75d09569, 0x0369dc48, 0x3859cd0e, 0x5d1e1d17, 0x3c28ea1c, 0x906d9651, 0xc7fe9978, 0x507d9dc1,
+    0x213b40f7, 0xd2eaa425, 0x3d21218f, 0xfa69e939, 0x45d9ce9c, 0xc1b17519, 0x84902f73, 0x7b48fd10,
+    0x06be89e2, 0xe9549196, 0x581fa0f4, 0xfd982c3a, 0xdf5036c3, 0x5af32ecb, 0xad244535, 0xe052baf1,
+    0xcdefb059, 0x4e655438, 0x84247786, 0x75f6b170, 0x84a2afff, 0x55d74009, 0x383e9bef, 0x64295e78,
+    0x5b29cf0a, 0xe024eb9f, 0x7a2c90e4, 0xc4c95516, 0xb3d2720c, 0x3ffe0f2b, 0xde66a776, 0x852adab3,
+    0xad82e675, 0x76101712, 0xa62544c6, 0xfed8dce4, 0xffae5c35, 0x5fd4de29, 0xaa993bca, 0xdbd2e997,
+    0x85bd7595, 0x1b01a8d5, 0x0b72fb35, 0x2e515eae, 0x63395a9a, 0x7b3faee9, 0xad3e4393, 0x097f9955,
+    0xebad4bc6, 0xeeac76c1, 0x965595cb, 0xea11d370, 0xfbc6047e, 0x6133ab3a, 0x5fa3fe0f, 0xa78529b4,
+    0x6b8e3357, 0x138bf3b0, 0xf55e5bf1, 0xf0244d32, 0x0c196198, 0xc3956a8c, 0x73719eeb, 0xee5f0e07,
+    0xe88a6464, 0xc0be93d9, 0x566342d2, 0x3c61962a, 0xf77359c3, 0x32baa20d, 0x5cdf1916, 0x0c0bc401,
+    0x40126069, 0xaad014b9, 0x7681cfcb, 0x0e3c6bed, 0xad4642fc, 0x24a0fc1a, 0x0e1ffde9, 0xcfb4ed5f,
+    0xa2060680, 0xce1108cd, 0x42a3ca96, 0xe5aeb970, 0x0c88748b, 0xe94c88c2, 0x483f9be9, 0x6d0c2871,
+    0xe778d51a, 0x76f3ce8d, 0x1a9bf745, 0x2a4549d2, 0xc52373b6, 0xf187946e, 0xe7c97339, 0x9c9b303c,
+    0xbfd5d0ee, 0xa63f9ca0, 0x3c914f9a, 0xbaee57e3, 0x12bf48fa, 0x0f43a694, 0x206607f7, 0x4ed1032b,
+    0xe7125b3a, 0xe65fee01, 0x076d399b, 0x51398556, 0x786c32be, 0x92d3b967, 0x8cb970b9, 0x8f31cfa5,
+    0x17e7e5f4, 0x9e5f7ae3, 0xa3fc8fbb, 0x5247298c, 0x272365d0, 0xb0f39c96, 0xac1f0867, 0x16f475dd,
+    0x3e620068, 0xcbd90d34, 0x73616d56, 0xcbe7ca34, 0x4265dde2, 0x4fb0fdd8, 0x4bb4be55, 0xc8353d3b,
+    0x907b321c, 0x8e16a867, 0x4d49578c, 0x64a5e382, 0xfe98c313, 0xe7bf09e6, 0xe04abb91, 0xc397ef74,
+    0x131db467, 0x42a01acb, 0x23ae8116, 0x7bcffd43, 0xf744d06d, 0x4492426e, 0x6116c90a, 0xd74bbd2f,
+    0x5b7fa206, 0xc354ece7, 0x86ba37e5, 0x6f2445f6, 0x314ea458, 0x46b9145e, 0x795bb2bf, 0x16afe28b,
+    0x6d032454, 0xec863ac1, 0x84ba36f0, 0xb3eef31f, 0xe8e4bd9e, 0x0ac5e4d0, 0x359485a5, 0x5c1500bb,
+    0x4779144e, 0x5be3cbda, 0xcd52c139, 0x2e41a3ce, 0xefb5397e, 0x28bb110c, 0x78c0e49a, 0xc1226c0b,
+    0x608cc095, 0xdbe8a72e, 0x27b437f6, 0x0e8ec50b, 0xd703eead, 0x87d004a5, 0x4ca8ee73, 0x4af1ce30,
+    0xd88f84ad, 0xa85e1cf5, 0xecba771d, 0xb0772c99, 0x24c5fc83, 0xa1e52adc, 0x2b9331ec, 0xc0c0f60c,
+    0xd04f187b, 0x9d1c49fc, 0xe5db06ea, 0xda76cdcf, 0x29e46400, 0x12201508, 0xc99cbf59, 0x0c82ff13,
+    0x3ac36cb0, 0x0b10b2f6, 0x631acb01, 0x589da794, 0x2523188b, 0xd91faa40, 0x00f7a6d9, 0xf0defd2a,
+    0x1bd9dee1, 0x538c2369, 0x84ac6887, 0xaa30f5f3, 0xaabf6af2, 0xcac1558c, 0x3c6a8542, 0xe3c5990b,
+    0x548f7e54, 0x95c2b440, 0x6ad0b79e, 0xb43095c9, 0x8acf2a3a, 0x3c3b5145, 0x22ed9051, 0x348837e3,
+    0xf1507e97, 0x2f8593cf, 0x71e2eac0, 0x19992d47, 0x0282bea6, 0x46bb9b5b, 0x5a91b80d, 0xe2072c34,
+    0x7624e056, 0x6262fe79, 0x2280ddc0, 0x6e95f718, 0x7237bcd5, 0x3d94bef3, 0xd490b0e6, 0x60808968,
+    0x496ade1b, 0xa75afef6, 0x4abdcca8, 0xfba096f3, 0x6bfc34c5, 0xb73d38c1, 0xa9cf3a19, 0xc5224d84,
+    0x38e732fa, 0xe507934c, 0x79cbcd4d, 0x55592c23, 0x31096b5b, 0xda2afb06, 0xd50042b6, 0xbdab3146,
+    0x46fc6b75, 0xe730d4ae, 0xa85b8518, 0x237c36eb, 0xf03ad5b0, 0x702bfeb4, 0xcf6f0c0a, 0x2289676e,
+    0x5facbd16, 0x3c230da0, 0x42b1bd90, 0x2a144c84, 0xbd01d298, 0xb3a0bd9f, 0xae2b7aa3, 0xb23dd0bd,
+    0xbcc71ce2, 0x7f4d42f2, 0x48aa51d3, 0xe5a1ac48, 0xb133b3d4, 0xa08985ee, 0x1ace0456, 0x78f59230,
+    0xa1f025ad, 0x6104b243, 0xf2bf5916, 0xda0046b2, 0xa43be48a, 0x2af37424, 0x8cf181ea, 0x37177a0a,
+    0xb12cafbe, 0x5e6aac77, 0x0b16f3be, 0x03b965ce, 0x2f80d16e, 0x76cc89fa, 0x7fef7567, 0x6cc04146,
+    0x50e4d916, 0x4d56732e, 0x496d4afa, 0x1dc0bc9c, 0x6f6aa594, 0x66697d6e, 0x71f7687d, 0x0eecc25a,
+    0x535e2b92, 0xb53c0544, 0x69738ce8, 0x192d3fee, 0x5d2c8fc0, 0x43af537c, 0xd770b0bb, 0x1d5e4900,
+    0x5f6f53ad, 0xee9ca903, 0xf8effd81, 0xd1b3777a, 0xdfb5dbc8, 0xddd8b74e, 0xc2a7581e, 0xdbde3616,
+    0x4608b618, 0x42b2e473, 0x12c9e458, 0xdda3fd37, 0x76668c76, 0x724e842a, 0xc078ae2b, 0x376a6222,
+    0x83ee7648, 0x7e73d43e, 0x5886e3e0, 0x24a80d53, 0xe8139de8, 0x17cd8264, 0x6710b8b4, 0xa1ce475d,
+    0x3f006278, 0x9651c68d, 0xc82c4fc8, 0x3d59d921, 0xdcece47d, 0xcbdec2c2, 0xd6ceb650, 0x9b2c83da,
+    0xa0b3a3be, 0x28654a0d, 0xc411b3e8, 0x2cacdee8, 0xc27ba43a, 0x43ba4221, 0x6bc253e0, 0x89bfb386,
+    0x29e5542d, 0x794b3eb1, 0x0bb4fd53, 0x6e80daaf, 0xe157fe6a, 0xafe298b1, 0xfb08724f, 0x66dcb888,
+    0x17460e5c, 0x17330373, 0xc8496e82, 0xe065c955, 0x2e2551ca, 0x1056cee8, 0xd245a28e, 0xb018896e,
+    0xcb06af6f, 0x1614b67f, 0xb977a1bc, 0x16593284, 0xae433312, 0x996a0673, 0x9b12799c, 0x4ec01881,
+    0x6c6e1258, 0x3f33fded, 0x09db757b, 0x00a1bacd, 0x596651c8, 0x0a80f3ee, 0x8e630c91, 0x5dfda8f7,
+    0x5f8b8b35, 0x90ebb877, 0xcc81660b, 0xd0193ba4, 0x38eef2f7, 0xa0cf73a9, 0xa81a1c47, 0x2954cb5a,
+    0x3576cbbe, 0xbb07eeb6, 0x41ff8c17, 0x1dfb9bba, 0xe4bb6553, 0x006e73cc, 0x408d6237, 0xf0bfc246,
+    0x922406e0, 0xb8c87386, 0x5db1413f, 0xf4a0b9f5, 0x80173362, 0x3bd16acb, 0x856bef2c, 0x9d5aa598,
+    0xb1a2e963, 0x1a75ea2f, 0x1f6cfec6, 0xea5b38bf, 0x2c92eb76, 0x612af36c, 0xc7ed1590, 0x9ea0f5f0,
+    0xe4be63b4, 0x11b6f626, 0x914298a8, 0xb7a9c4d6, 0x62ea4149, 0x3569b871, 0xc975a168, 0xc0d555f2,
+    0x00000000 }, /* 10**-00000000000000000000000055453393882416297191568283682861674068728741507516331\
+                          50340959161229242615611251246079948812208279156194782421922807143657948315648 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c,
+    0x52b16e49, 0x537f7d18, 0x7a62f99a, 0xf021622a, 0xe0c5c1db, 0x41549c52, 0xf429ebca, 0x11b7fa99,
+    0x00000000,
+    0x9404fd7a, 0x3c029734, 0x5e710347, 0x10e5419f, 0xc40cd927, 0x1981a986, 0x72ebcdf3, 0x5b82def2,
+    0xc24e213a, 0xe2facfd1, 0x632c01a7, 0x7f61574e, 0x8cf68f84, 0x13f9ea1e, 0x64dcc324, 0xd35434a6,
+    0xefac1479, 0x18b5f39c, 0x36f37d78, 0x05f8fe18, 0xec1d3f37, 0xfe83e0b3, 0xf13000ee, 0xae7b870b,
+    0x7df65dd9, 0x31e695fa, 0x0ee76d87, 0xe21eb73c, 0xcf3be384, 0x7857ba7e, 0xdba24451, 0xc41b3daa,
+    0x069fdc71, 0x2b864aeb, 0x667ef86a, 0x3678377c, 0xc1b3b820, 0xd81059a5, 0x5427605e, 0xd324cdba,
+    0x69f5912f, 0x5f267f75, 0xd68add78, 0x90c4e905, 0x7b02227d, 0xfca1697e, 0xea3bd448, 0x7c544ea4,
+    0x01f23867, 0x55baa446, 0x66d41285, 0x1d7c2068, 0x451ba135, 0xdcbba92f, 0x5fe4961d, 0xb85c36a9,
+    0x06767ab4, 0xfea01f21, 0x337a3de7, 0x5b6a654a, 0xc64e960c, 0xb04e71cd, 0x2890a9f0, 0x052cb8f3,
+    0x9258114d, 0x1cfcdfc3, 0x6a4f10bc, 0x42a20f2a, 0xc2c7d0d6, 0x6546679f, 0x7ef46f68, 0x1fefb227,
+    0xc408cfec, 0xf3749501, 0x3b95a544, 0x0274dfbc, 0x2e84f228, 0x9729b855, 0x5a4cc37a, 0x2a3dffa1,
+    0x88aba234, 0xff575265, 0x8cedcb80, 0x03e63322, 0x398a56cf, 0x6e8c251e, 0x2317d026, 0x91a824ba,
+    0xa5a10a39, 0x69c283e3, 0xf5f6e36b, 0xf5a5aeb8, 0x924dbc86, 0x7b5aed69, 0x32dd5a77, 0x79904288,
+    0x006aa0cf, 0x4e0e1de2, 0x8f7b8783, 0x1c5d3ec5, 0x59fbf717, 0xbd823377, 0xa2cfae58, 0x113c586f,
+    0x86a2b577, 0xec917660, 0xbc0666d3, 0x2d29411b, 0x14183da0, 0xfafbecd8, 0xe132c691, 0x4b9fb8ac,
+    0x23bc7edd, 0x97f35e27, 0xad3fe27e, 0x4aa966de, 0x6451af78, 0x396a0f92, 0x8630b51c, 0xda6e80f5,
+    0x00006975, 0x81d96246, 0x52412ba1, 0xa36a7e6a, 0xb6df57c5, 0x8a4fb362, 0xffcc0ae6, 0x45b7f970,
+    0xe6853604, 0x1c491940, 0x7744c444, 0xd0a55cf5, 0xeb686ace, 0x22dd4786, 0x3dced859, 0x5cc4f919,
+    0x93ab401e, 0x16144ea0, 0x1718b534, 0xa2977fa2, 0x25604bf8, 0xf686fed3, 0xfcfd32e1, 0x3c784b8f,
+    0xceac71b7, 0x0341f482, 0x0986ff52, 0xb39dbe1a, 0x5a8a4143, 0xf71a4d4e, 0x3e591939, 0xc764f999,
+    0x75712f30, 0x5f83ce9e, 0x67e4bcf0, 0x748aee8e, 0x1700551c, 0xe76eb1ef, 0x9f7da043, 0xad667436,
+    0x4ba86d49, 0xf47e34c8, 0x9821ecd7, 0xebf28d98, 0x4720dcf0, 0x60d87766, 0x1fce5873, 0xcb0d091a,
+    0x80bcb374, 0x84b58948, 0x9d16a264, 0x3df07d4c, 0x8d8e2cbb, 0x45a49a83, 0x3c0711be, 0x84db091b,
+    0x070daaa9, 0x9f85098c, 0x6a4cfc68, 0xf42e9254, 0x5c1c5767, 0xc796b3c5, 0x2b2f7be1, 0xc40431a3,
+    0x25de6dec, 0xe45ae392, 0xb43272df, 0x8ca06937, 0x47e9332d, 0x0d4bca58, 0x7262d077, 0x204c5cfe,
+    0xa90c4450, 0x3256974e, 0x4ddd0b06, 0xf563fa5d, 0x365a4bc5, 0x3df3a796, 0x2d9962cb, 0x9e93f620,
+    0xc1937f85, 0xba8ab8b2, 0xf27447c2, 0xc5fcb83a, 0x11d8af50, 0xfbd16803, 0x68f68f4d, 0x3c7da981,
+    0x11f742ba, 0x77ae517e, 0x509d64b4, 0xa22d8c7f, 0xee2d9e02, 0x9a7299ec, 0x6c65a4c4, 0x7c74e6eb,
+    0x6e15f5bd, 0x0f96573e, 0x30b46599, 0xc0cce591, 0xa0f0f951, 0x74f59b09, 0x8d91dfc1, 0x5f6ade68,
+    0xb7b07084, 0xd6094274, 0x5f3f84a8, 0x4babc676, 0xc7262ce5, 0x0e3403bf, 0xda145de4, 0x659bbe77,
+    0x0d090711, 0xee4828b1, 0x69109ac2, 0x7ae681fc, 0x0c6118c1, 0x833b386b, 0xce6aa411, 0x8004ca80,
+    0xa60b7ab3, 0x77590cb1, 0x3c2b8a89, 0xe699c733, 0x13d61278, 0xd511f27c, 0xf2fb05a2, 0xb2747d18,
+    0xe97e669c, 0xbf1af432, 0xfe45370d, 0x789b68c4, 0x8ba91f45, 0x9ef7bf15, 0x5a653a44, 0xfb62081c,
+    0x5b75b2ad, 0x2b7b8544, 0xea8e6827, 0x6cc790d7, 0x5f198125, 0x4c15257f, 0xb1ed6bf0, 0xd5755701,
+    0x6554c9c8, 0xb07aa4d7, 0xec91ee89, 0x5722a845, 0x0445afc0, 0xfc38cac9, 0x17d1322d, 0xefd8c769,
+    0x9da800f1, 0x67d2c6c6, 0x0f636ebd, 0xd1655987, 0x8d0dcb82, 0xfdd0b6c3, 0x5a663bec, 0xd1c44433,
+    0x26d4e656, 0x26eb7915, 0xa02afcae, 0xf7b77f5b, 0x76b26339, 0x31274606, 0x9abbe387, 0x79c2efa8,
+    0x5f31a049, 0xd7e5e077, 0x004c5257, 0xa20a34af, 0x49b10eb1, 0xf88adda2, 0xe76548f7, 0x92ac4621,
+    0xa921a08b, 0x34686cc6, 0xca38d8ef, 0xd167a54c, 0x49d2c2ec, 0x7d033549, 0xc3540944, 0xe9f9f1c1,
+    0x8867a707, 0x2aa3fa0d, 0xce17f4df, 0xd3448602, 0xe7c33eaf, 0x1bab5282, 0xd385f140, 0xbe94b479,
+    0x8bfefc26, 0xbfea7a9d, 0x20a0d845, 0x6fa30dfc, 0x343a07cc, 0xcc2a5f3d, 0xeaa43c9a, 0xd771cc7b,
+    0x61d7850d, 0xc0fcaeef, 0x1590e6e8, 0xe1d6e2d3, 0x2bb36791, 0xca4a9dbe, 0x9a582cbf, 0xd93e5301,
+    0xeaba722c, 0x9720b5f6, 0x702f5063, 0x06db3835, 0x97e1eed4, 0x6fe7dd4c, 0x64ac9714, 0x46a0ad1e,
+    0xaa088ef8, 0x26cbc950, 0x044e7bde, 0x6d6f54e5, 0xa7db5ef6, 0x12d97693, 0x0e52de23, 0xd523910a,
+    0x8d64b531, 0x08e69ed3, 0x3c2842e0, 0x77edd423, 0x00cde6e2, 0xfbca5cd2, 0xc3fc288a, 0x6b3597bf,
+    0x33939106, 0x98f4a0d9, 0x89135b43, 0x2726dd05, 0xa65e1a0f, 0x24167b98, 0xa182e36e, 0xf8587d68,
+    0xa6a4d020, 0x04cb9cf1, 0xb01d7f08, 0x227c26e9, 0x91a7fd46, 0x06f6add9, 0xef792ebf, 0x8355db7b,
+    0x01cdbcc0, 0x71145cc4, 0x32a43d30, 0xf5d92605, 0x9f456b8c, 0x8ce10029, 0xdfac4683, 0x7b4525bd,
+    0x56a6314c, 0x5ca2fb07, 0xfcc284be, 0xb2ddbdd2, 0xbfcef1e6, 0xcc2b0b3a, 0xcb3328b0, 0x06b98b08,
+    0x37954466, 0x767e2a1e, 0x98efd146, 0x28749f40, 0x680e3d94, 0xeac38c3e, 0xbcfd1d07, 0x3e676080,
+    0x2c1d8661, 0xa1e45083, 0x878fa7c5, 0xcc0be741, 0x8379a2a6, 0xcd1373f3, 0xed855f47, 0x022c1b1a,
+    0x28225c6a, 0x2d5539f9, 0x83c8897c, 0x2ae653bf, 0xdd736ff4, 0x964efc24, 0x0fbc241c, 0x994a6e21,
+    0x13d7945a, 0x3c7b4e1e, 0x8a5b6b2f, 0xa60da885, 0x631d1b57, 0x2ffc1dbf, 0x6f36908c, 0xa248affb,
+    0x4b2905b8, 0x8fa33cab, 0x7f944e6f, 0x48f04ac5, 0x201f82ab, 0xaf1950b5, 0x9f26399e, 0x349c6618,
+    0x22a4e908, 0xbdbd04ea, 0xc335c92e, 0xae49fa76, 0xc6e8e405, 0x8ac2b869, 0xf6f6d710, 0x93086005,
+    0x233cf7ec, 0xd10772b5, 0xee2660d2, 0xaea85f02, 0x8d2583c8, 0x702c81ba, 0x7f9d8848, 0xcd4830b9,
+    0x7c6c6866, 0x590e3bf6, 0xfe38c931, 0xeececbf1, 0xd5ab296a, 0x2493d368, 0x5b5476fc, 0xb036b313,
+    0x7d589afa, 0xdea3b5af, 0xebed94ac, 0xeafda3da, 0x67543b90, 0x423a3f99, 0xa1d97609, 0xf41d420c,
+    0xf0305eeb, 0x72eb40c0, 0xbc57a7f7, 0xc83bf4b4, 0x2e782768, 0x2f42373b, 0xce54b537, 0x978c63cb,
+    0xb5d20cd5, 0x535fe833, 0xa9cc61dc, 0x96c69018, 0x2105d75e, 0x2928bd9c, 0x3caaf992, 0xb8d157c6,
+    0x624b5206, 0xc9d71ca4, 0x47ab7c5e, 0x57f95ce6, 0x5936c155, 0xeeac35a1, 0x157d9066, 0x842b8e93,
+    0xfc9ae480, 0x248a26b5, 0x2c993657, 0xa0735fc9, 0x830ed8c6, 0xbe046f1b, 0x5f14167e, 0x5a9ede81,
+    0x75cb329f, 0x73bce0b7, 0x5e24bbe8, 0xeb4b72ee, 0x780798a3, 0x705b855d, 0xa54d2679, 0x9255c8c0,
+    0xe5119e43, 0x4836faf9, 0xa83d464a, 0xf8b5d199, 0xd04bf4af, 0x0ae236db, 0xe3d97a6c, 0xd81137c9,
+    0x81df2c10, 0xe2855ca0, 0x47146e10, 0x04811522, 0x65be2a03, 0x72422821, 0xba7377bd, 0xb71450cb,
+    0x11ad9fe1, 0x62a4f381, 0x516f23f5, 0x8c8f8636, 0xf766a370, 0x6b939128, 0x519de8ad, 0x41c3071a,
+    0x43c22cc7, 0x40e24c01, 0x343921b0, 0x9365fba6, 0x571076ec, 0x58f3da64, 0x02e65ab5, 0xfaf66262,
+    0xa6295408, 0x45f1375a, 0x65aca5de, 0x337e164f, 0xac80ea06, 0x0cb95d49, 0x537171cf, 0x324682f4,
+    0x1726d57f, 0x17bc1a08, 0x28e6a3e1, 0x168a5061, 0x5f583a08, 0x097642c0, 0x0bb64c6e, 0x4594aec2,
+    0x0dd48aa2, 0x412f7589, 0x03e692fa, 0x3751befa, 0x0d7cf960, 0x239c8859, 0x74a4e2b2, 0xf7a87d0d,
+    0x35c8c4b8, 0x0a01460e, 0x569759a3, 0x81eda3ae, 0xe33325c0, 0xca296add, 0x5d96b4e2, 0xbfee7984,
+    0xa749a9c8, 0x3e239d2d, 0xb773c4ac, 0xe9605d1c, 0xc7ac54bb, 0xc527db5c, 0xd7456766, 0xc5ef806e,
+    0xa5312bcf, 0x981caaa3, 0x5f77b3db, 0x8e4116f1, 0x5ff1a609, 0x947a2a6e, 0xac022030, 0x09fba7d3,
+    0x0c385cb4, 0x6b81994e, 0xe670d052, 0x9216534f, 0x5d5c39c0, 0xc142956b, 0xda8a7025, 0x97e1beab,
+    0x38a00357, 0xa1158c2c, 0x1403403b, 0x56cd5694, 0xb2388008, 0x30043a3c, 0x78e91e37, 0xc6978e9b,
+    0x7e8a7480, 0x3687735a, 0xc59cdd7c, 0x715370ff, 0x960ebf86, 0x1e16ea7e, 0xb5641835, 0x164fd0f0,
+    0x7038ebaf, 0x03e9382c, 0x496df61c, 0xfb4333b6, 0xbadc3623, 0xba75ca96, 0xe361e09e, 0x07922072,
+    0x00e975be, 0x930bbd40, 0x9b1d757e, 0x087ec2fc, 0x3644ef58, 0x5a2f4117, 0x6a40f47c, 0xab7fafcb,
+    0x5c5226cc, 0x4525af3f, 0x74a6ee69, 0xa5a23a0c, 0x335af73a, 0x4dfcd773, 0x5dd66b95, 0x2d07d4ae,
+    0xf99a471d, 0xb625ac63, 0xaa8dc111, 0x93018b7d, 0xdb2102d0, 0x3bc03224, 0x35bdf84f, 0x0aee3280,
+    0x29572a09, 0xcba1858c, 0xa9c762bf, 0x352d7152, 0xd8fb16af, 0x29201168, 0xb651db08, 0x4acfcc00,
+    0x1a80c99b, 0xa1cc4fdb, 0x80618cf7, 0x84a7302a, 0xf5995bb7, 0x16b63c22, 0x7e24acb4, 0x9312114d,
+    0x31cf4eaa, 0xe5dd2326, 0x8294464e, 0xf2d0e2ff, 0xed189b5f, 0x0c0e15e7, 0xe360b41b, 0x1a2d0ed5,
+    0xc75bf7a4, 0x40a10d95, 0xff4e22da, 0x6a77ea47, 0x8fc6b2f3, 0xda84ec98, 0x545ada6d, 0xff0a7565,
+    0x10368f66, 0x9045310b, 0xd305f4de, 0xe3c0e2ed, 0xd7c57c91, 0xfe014edf, 0xe64d73f9, 0xd4bea649,
+    0x71d6cd98, 0x5268a44c, 0xf0fe7b68, 0x04666152, 0x6658fe0a, 0x7c08d6a1, 0x0282781b, 0x9f2f5fab,
+    0xa36ff2c4, 0x851a43d9, 0xee3f480c, 0x9206f4c2, 0x9ffeddf1, 0x54974d8f, 0xf0cb7551, 0x41dd4394,
+    0x66fbaf47, 0x88a792d3, 0x5ebc4eb6, 0x41fc89a9, 0x1a236926, 0xc9a86c3f, 0xa0327211, 0xb4f7cdc2,
+    0x278f04bd, 0xd5f99ede, 0x01d75c70, 0x903ce0f1, 0x27b38a11, 0x586364e5, 0x158cbc76, 0xb13f6de3,
+    0xcb96c509, 0x9e05e6b0, 0x9296bf0f, 0x782b752d, 0x662ab54c, 0xff80d3f8, 0x1643dae8, 0x436b7533,
+    0xe68fca40, 0xdefffb23, 0x6613b492, 0xac1778d5, 0xe98c7981, 0x586b57be, 0xfc6e266c, 0x5f6dc7be,
+    0x0252dff2, 0xae1d109e, 0xe02b4fea, 0x7c22c91c, 0x7701314d, 0x060dd942, 0x7a0b1f2e, 0xc6884a32,
+    0x1338ef84, 0x3c0f0218, 0x917c3cb5, 0x23f4d13e, 0x289d702a, 0xdc7e569a, 0xed6f7767, 0x79a2b6ab,
+    0x674666d1, 0x784c937b, 0x9fb93b57, 0x454c7934, 0x15360582, 0xd9391924, 0x8f9400c7, 0x6ab9abfb,
+    0xff261c58, 0x0e296166, 0xf10b76e1, 0xe9750b3b, 0xa1e01639, 0x006d689a, 0xc66e195d, 0xc9957a26,
+    0x1232a52b, 0x5b6fb5f2, 0x1f91bcb0, 0xfcaacedc, 0x6fb67d1a, 0x8e16828d, 0x3e874431, 0x69e2396a,
+    0x99e7d48a, 0xb9e5c72c, 0x79560fe6, 0x8e9e9551, 0xd11cf8cc, 0x5e6d7604, 0xb3729392, 0x7c106a0d,
+    0x161de723, 0xc0dc820b, 0x93c0d70f, 0x9e5e25bb, 0x3c1fd64b, 0x1b790be2, 0x4db0252b, 0xc6dd5210,
+    0xa4e4c87d, 0x54a35149, 0x7e96a0c9, 0x8efae84b, 0xb8e5c10e, 0x54ddd499, 0xe6c94bf4, 0x8b029119,
+    0x41b8c720, 0xb5f67220, 0xd1b8ea33, 0x43138661, 0xa63217d9, 0x5ad7934d, 0x770df709, 0xc8ca1d28,
+    0x7e63011d, 0x485a93dc, 0xee626d53, 0x94a20c78, 0x5b441363, 0x53ce2d04, 0x81a95b4e, 0x66d47f29,
+    0x7861339d, 0xdd7f60a7, 0x90bc97da, 0x582efd28, 0xaace4529, 0xc5e367de, 0xcb2d0388, 0x3fa2302e,
+    0x342dea6f, 0x3fc7c1f4, 0xd8047774, 0x5fe38897, 0x0e1ab3cd, 0xcea679dd, 0x794a8f34, 0x701f1491,
+    0x0b92a7ac, 0xefc314a9, 0x94aa1ef0, 0x67a28ebd, 0x2beea319, 0x202a0064, 0xb760ee50, 0x933ed590,
+    0xd2e8b7ac, 0x20ad0063, 0xb7b08e73, 0xbe775a38, 0xca06edf9, 0x6db4863b, 0x3957d760, 0x005a58ed,
+    0x9a1971fa, 0x2d78a721, 0x4ccc4834, 0xa6f795a9, 0x5e823d5f, 0xbcbd61e3, 0xfeffbc9e, 0xd3c72e55,
+    0x82fb4e78, 0x542b4218, 0xd5393773, 0x31fbad70, 0xf3178557, 0x3d44732e, 0x23068fcc, 0x8b144ae8,
+    0xd7527bf1, 0xdb14d21e, 0x233c42f3, 0x3ba9847a, 0xd9a597f2, 0x13497b44, 0x1021b3fe, 0xd37c6452,
+    0x3521c8a7, 0x7ca6a66d, 0xfd54996a, 0x0a1d6205, 0xb6475d22, 0x0c229998, 0x63d5e3ce, 0xe1a78d2d,
+    0x95d8e7cb, 0x7d2371cd, 0x672d8beb, 0x84897fa6, 0x2580550d, 0x8eddb1e8, 0xe5efaa1f, 0xe856966c,
+    0x29774e02, 0x605a8bf0, 0x1537b7b9, 0x91044a29, 0x6d3b5dc6, 0x13181bef, 0xd1cf34a1, 0xd3de30de,
+    0xd46fb189, 0xb55705aa, 0x81897c02, 0xde5a88f1, 0x597a05ca, 0x7df8cb97, 0x9823e065, 0x1d94ab41,
+    0x2e823040, 0x7144c98e, 0x97c2610e, 0xded7d0a4, 0x52b85e5c, 0xeaa7e85d, 0x422d699b, 0x50850604,
+    0xc1589491, 0xf12bfa12, 0x3e3dc9cf, 0xa7711472, 0x333b9111, 0xb786ef67, 0xf2dac8a4, 0xe08a24eb,
+    0x9002214d, 0x3f231e7c, 0xc2e6c61f, 0x7e3c7d1e, 0x8e59eb26, 0xd94e6249, 0x0a10f24a, 0x2abbfe37,
+    0xea2ad23c, 0x055e8d11, 0xeb0c50f2, 0xfc94b7c1, 0x21c2ea52, 0xcd8e24a4, 0xb2d07a80, 0x874a9f0a,
+    0x2332acbe, 0x098e8722, 0x232fd459, 0x50bc7d04, 0x564b7cf6, 0xcdc0355f, 0x8de8fb14, 0xadcdb9a5,
+    0x1e6039b6, 0x2f23f77d, 0x483eaf61, 0x6ddbdf15, 0xdd466787, 0xbd9f7bf7, 0x642636e3, 0xe3f69d75,
+    0x1bbbd470, 0x8fccc562, 0x6486b648, 0x3ea637d7, 0x3769b37d, 0xbdaa0591, 0x70d9c566, 0xa92e83b2,
+    0x68a82233, 0xafad3082, 0xfaffd82a, 0xa4521457, 0xfdf31a9f, 0x229bb171, 0x789f015b, 0x7bbc5bf3,
+    0x5f49c9c3, 0x5f56802d, 0xc4707641, 0xe4e773e8, 0xc0e735cb, 0x0405c339, 0x2fb4def7, 0x73b84a9e,
+    0x4de9288b, 0x5e5b5618, 0x02aac584, 0xd1dae2a5, 0x6b121553, 0x4fa5a468, 0xb2276242, 0xb252aea9,
+    0x2d9cf843, 0x87525453, 0x5ae70710, 0xac093f00, 0x7de98769, 0x3a0cdda4, 0x5621ae6c, 0x8185ba9a,
+    0x91d2948c, 0x522eb337, 0x068065b9, 0x9c9c9c75, 0x14d72d31, 0xc4ff3547, 0x084c92b2, 0x3b47002f,
+    0x09bd3727, 0xc3238af9, 0x0f54fd1f, 0x82723c02, 0xad1054da, 0x9acac2f1, 0x842fff80, 0xd1d14019,
+    0x7509df74, 0x6cf7147f, 0x96efe827, 0xd7ea6343, 0xd8a992ba, 0xf1b4a54b, 0x89915cc2, 0x7c8b443b,
+    0x946e1b24, 0x1dc18bc0, 0x8f2b8c41, 0x7f7bf099, 0x93bfd478, 0x8f4792b3, 0x21adb067, 0x95531a38,
+    0x00000000 }, /* 10**-00000000000000000000000027726696941208148595784141841430837034364370753758165\
+                          75170479580614621307805625623039974406104139578097391210961403571828974157824 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426,
+    0x2958b724, 0xa9bfbe8c, 0x3d317ccd, 0x7810b115, 0x7062e0ed, 0xa0aa4e29, 0x7a14f5e5, 0x08dbfd4c,
+    0x00000000,
+    0x89a571d0, 0x8ad1d3cb, 0xba485fc6, 0x5f2c674c, 0xefe7ade3, 0x08cb2c5c, 0x938c1eeb, 0x2ae9cc33,
+    0x7dbd729d, 0x722bf256, 0x191f7a3d, 0xaeb27f49, 0xabd24d2b, 0x1349e70c, 0xaf0dcb35, 0x9cae8ee7,
+    0x266965b2, 0x7c06d4d0, 0x50f75325, 0x513f2943, 0x04e99843, 0x925145f7, 0x88d70444, 0x6ad9baf3,
+    0xa1aff68f, 0x99f76a23, 0x621f05b7, 0xd0d0440e, 0x92a76b08, 0x145ba17c, 0xe8e46011, 0xd6dff7e1,
+    0x2b5c8de7, 0xe0f3a094, 0xdf4723a1, 0x6074f214, 0x37bc11a6, 0x4ba59d19, 0x902580e9, 0xe2a29055,
+    0xa48ad222, 0xea0b0a39, 0xa985ea85, 0xbc472134, 0x0545fe2e, 0x78c570bf, 0xef301f45, 0x2d73cea3,
+    0xcf69abd1, 0x3f26af05, 0x2176db15, 0x3aeddf58, 0xfadfe71f, 0x229eb075, 0x3237905e, 0x2a520a02,
+    0xa1e12d30, 0xcb44a87b, 0xa755e04f, 0xf3e2ce7e, 0xe85a8e36, 0xa20efc9a, 0xfc37849d, 0xabbddd68,
+    0x067ac703, 0x2958904d, 0x49f318ca, 0x419aa885, 0xc083b775, 0x850bf1bd, 0xc81ed2a4, 0x06b5eb22,
+    0x06ed8039, 0x5e3a5603, 0xc8367701, 0xed20bc32, 0x56e8cfc7, 0x49398676, 0xbf8d84f2, 0x40305877,
+    0xe550f8cf, 0x71ac959e, 0x1b1a9e6d, 0xac7316d6, 0x72e10bbb, 0xbb9a8e3a, 0x0bbc65bc, 0x8d00e892,
+    0xb162f077, 0xf70d84a9, 0x40c21375, 0x1717f051, 0xf5d0ca46, 0x803edd58, 0xbb6b6ea4, 0x46ca368e,
+    0xeca12777, 0x75974934, 0x0ee036c4, 0xc9ff9b2a, 0x678ea2f0, 0x9661ad69, 0x6a163671, 0x16a57236,
+    0x4e2810a5, 0x327255e2, 0xedf98d3f, 0xc453af6d, 0x43f7e1e7, 0x4e73ace3, 0xb99f9132, 0x851362cd,
+    0xe56141e7, 0xfa1ca77a, 0x281f66a1, 0xee37fb73, 0x361a923d, 0x1981ba05, 0xd63e2b46, 0x2f4a13b8,
+    0x5e32f1c1, 0x6ace1d2e, 0x70b39f23, 0x9d068a20, 0x5b8a63d9, 0x68063c08, 0x867c580e, 0x446baed5,
+    0x0d45cc2f, 0xb6646f47, 0x8feade8e, 0xd337d34e, 0xadfece1b, 0x6332aa5b, 0xe90e46f2, 0x45211c97,
+    0x331debb4, 0x6a6c11fa, 0x945579de, 0x6ec25846, 0xc82978b2, 0x51965e1d, 0x86146a1a, 0x7cc85ffb,
+    0x386348a4, 0xbe8276d5, 0x6408d1d7, 0xaa7e37be, 0xa72a11b3, 0xa0490ae0, 0xcd5a26d1, 0xe7e54bd5,
+    0x986e1d07, 0x9af69e2f, 0x6d0a1be5, 0x2150890a, 0xdd6b1cea, 0xbe82fd24, 0xa2b9d04a, 0x9257bb56,
+    0x624eda09, 0xc80661d6, 0x2cf3a0c2, 0xd1e66537, 0xb0f6d2ba, 0x97d86302, 0x69a84ba2, 0x6a4d860d,
+    0xf7b3e764, 0x8163c4b6, 0x55556e43, 0xca404f4e, 0x1a4953d6, 0xd278a8b7, 0x935b82f8, 0xceb583ff,
+    0x074ffabc, 0x71ad704f, 0x3a9d0d58, 0x0008eba7, 0x0beb63ba, 0x03104901, 0xdc17c3c8, 0x952ec737,
+    0x18427130, 0xb82cd378, 0xcc2a5b6e, 0x693d4115, 0xb216279b, 0x4e1c2151, 0x779d2956, 0x689d2b3e,
+    0x1b2d98fc, 0x7fea0b97, 0x56bf8d01, 0xba0143f0, 0x1d4c83f1, 0xa6e39462, 0xab0dd04e, 0x83acb4b4,
+    0x5b44c3b6, 0x3b8223b7, 0xe7efc7e6, 0xf2fe9eca, 0x414d5b90, 0x18f5b34a, 0x793aeba3, 0x2dce95d5,
+    0xc107ccf2, 0xf25e0489, 0xa20f6e91, 0xdb4db04b, 0x18575108, 0x846b2293, 0x09f8ecee, 0x09885cf6,
+    0xbfed05d7, 0x7e09d441, 0x42241469, 0xc346a6bc, 0x9e6e457b, 0x984743d5, 0xbf719d6a, 0x8a6026b5,
+    0xa8d12aa6, 0xf274ec74, 0x7464aa97, 0x39ead9b8, 0xb5e52948, 0xf1605705, 0x9fb22afa, 0x415ee031,
+    0x42398cfe, 0x3f63af9c, 0x2a08d1e9, 0xc833c2cb, 0x0b9bcfd8, 0xa6d965b0, 0xd75144bb, 0x940c9ea5,
+    0x5818aecc, 0xb6d635a0, 0xa323f190, 0xa1b5efc0, 0x71d7af68, 0x9d9f3f9a, 0xb69ef890, 0x1fb769ad,
+    0xd6d518ea, 0xaeba0a23, 0x276151e5, 0xf71d34f6, 0xbff3492c, 0xe1b55931, 0x230d9978, 0xbd675571,
+    0x9341c735, 0x72bf8f19, 0xda2fd2fe, 0x0d40e415, 0x7168900b, 0x55f9b26d, 0x9106a6d5, 0x7755bb6c,
+    0xd1162baa, 0x003d1f95, 0x7a22f480, 0x717d4454, 0x7a327e38, 0xc20f8f73, 0x4633da53, 0x3603a553,
+    0x0278b2ce, 0x09374579, 0xfba111e4, 0x3177b9fe, 0xbaddc857, 0x1b8aa774, 0x90f0e46f, 0x5e343082,
+    0x2dd68e76, 0x29f9fde2, 0xf1a513d4, 0xf050ebc6, 0x741fa976, 0x91acb64b, 0xa7d360d5, 0xfacc17f9,
+    0x31190f8c, 0x42a624d9, 0x6b4230b5, 0x80be84c7, 0xbad6512f, 0x119e506c, 0xa5d77f64, 0xfdd3dc28,
+    0x89f371cc, 0x3cedd826, 0xd9eaa804, 0xe32bb6cd, 0xa38d4a7f, 0x3193932c, 0x48517f4c, 0xc09ea92b,
+    0x478b113d, 0xa566a923, 0x730c256e, 0x4916527d, 0x7c71e26b, 0x3ae6ff04, 0x73893125, 0x8bb1e5ca,
+    0x29e9b2e4, 0x71281cd6, 0x50a1f1db, 0x52f9a43a, 0x7d9fceb0, 0xf7d08e1e, 0xfe22d669, 0xe45fe6ca,
+    0x5fd5406b, 0xc5a46578, 0x8178715a, 0x771cdefe, 0x241407b3, 0x44212e78, 0x7004398b, 0x434ccfc5,
+    0x856d8cba, 0x94db719c, 0x5e7adb31, 0x1bbb0305, 0xb2093bcb, 0xba3d05a1, 0xc9a6d698, 0x3eded3c9,
+    0x6374ffa0, 0xc014ca4a, 0xd7ca19c8, 0xfdc7679f, 0x0e8fff42, 0xd05b4129, 0xadeb0296, 0xefbea345,
+    0x730142bc, 0x33a9df03, 0x290d5b8e, 0xdc0d833f, 0x6af25113, 0xd8bab2a0, 0x81a2c7fb, 0xf40d1767,
+    0x4117109a, 0xe97114bf, 0x4d2b309f, 0x522251d4, 0x0cdbd78e, 0x2a3ae564, 0x9e6fb899, 0xa87e3600,
+    0xdcd9fae5, 0x37d0c449, 0x5c0abda3, 0x7e45f855, 0xc1b1b679, 0xd1bc908c, 0xd4e76308, 0xb9879e02,
+    0x9b031330, 0x583d8efe, 0xe6b75954, 0x3bbd1a01, 0x0306f3b3, 0x46b6c117, 0x726894f2, 0x8b586bb5,
+    0xe14daa75, 0xf0c27d0a, 0xa958821b, 0x5326013c, 0x4a23ef2e, 0x3155bfe1, 0x216445e4, 0x93d8d94f,
+    0x5afc1fbe, 0x95bddf33, 0x7ec7b8f1, 0xbc3ce8e3, 0xc587f240, 0x45c622cf, 0x12eb0965, 0x64c9fd77,
+    0x88733a35, 0x04b7ea64, 0x2d687ff3, 0x25b67d6f, 0xeb3ad96a, 0x78d3c44e, 0x8ffc4e87, 0x774aa400,
+    0xee302232, 0x66e75910, 0x382e87bc, 0xb8eacc7c, 0x4dc1d04d, 0x2195851f, 0x097dea8e, 0x6afd74ed,
+    0x8c4924c2, 0x5ec4bc1d, 0x40aa1337, 0x20e6b4be, 0x9f1882a6, 0xb389cb03, 0x6614b817, 0x6c529de1,
+    0x65c1086d, 0xca3d10db, 0xeac57d1b, 0x6c25f092, 0x137bec83, 0xe8fd6db8, 0xb288f635, 0xa4734a76,
+    0xc37f9b22, 0xc1fc6a82, 0x449c0114, 0x7c189f1e, 0xa80353e2, 0x94aa2897, 0x24969058, 0x0cde5566,
+    0xc8ea3ffc, 0x54a8862e, 0xc19fcc69, 0x952c14c9, 0xca4b2cb1, 0xa377d79f, 0xd1e041c5, 0x4768b507,
+    0x1ee6bd79, 0x79293aa3, 0x5e179701, 0xa5d96ae6, 0x58c2093b, 0x2ac114fa, 0xa8d5d7a2, 0xc00e6ba3,
+    0x0ab9d8d2, 0x0738e37c, 0x872897a5, 0x367f5d94, 0xf26fb33c, 0x51914202, 0x33d3d3f9, 0xdecd711c,
+    0xfecfd938, 0x894e9d0c, 0xc53bc072, 0xa7519573, 0xdd0fe884, 0xa836c0bf, 0x54d8e75c, 0xfa345d63,
+    0x9e01e173, 0x050dd49a, 0xa0b55ab8, 0x0fb149d6, 0x2e2c8bfd, 0xcba75865, 0xc4a2daef, 0x60deda75,
+    0x8afd0119, 0x21dc415a, 0x7e441c66, 0xfea1b41d, 0xc4282416, 0x8b2a76e4, 0x79bc7739, 0x43681722,
+    0xdbe7dbde, 0x049caf89, 0x498f9fe0, 0x680b8300, 0xb9d52f24, 0xcd3020c7, 0x6a1b4a1c, 0x1d5104c1,
+    0xc7e8c7af, 0xad56b276, 0x02aed3f5, 0x24f6f19a, 0x4244f698, 0x71ae9e43, 0xc6ba14b4, 0x6ca03470,
+    0x0ffe18d1, 0x8212db71, 0x71606de9, 0x42e9db9d, 0x7c2043bc, 0x8afd7671, 0xf074a0c3, 0xaaa534da,
+    0x485335e3, 0x4e453f8d, 0x172bc0c7, 0x6f280290, 0xb52ea486, 0x81d7b636, 0xde4425b6, 0x9059c4cb,
+    0xffc8cb9d, 0x5d10573c, 0xf8b5d626, 0xdd590a4b, 0x0d21049f, 0xb094d3ea, 0x92d1671f, 0x549d3703,
+    0xb61e4c19, 0x1b81516d, 0xc0a2a7d6, 0xade79815, 0xe3c170f0, 0x6e31ff08, 0x12bed07e, 0xa9b5f5be,
+    0x22e2a5ff, 0x589c48a5, 0x9d2bcb19, 0xc53478fa, 0xaeee6a68, 0x4d106d8b, 0x45125c2f, 0xbc567675,
+    0x3fa477b8, 0xed73e5aa, 0x788a1355, 0xace33709, 0x0ffb423d, 0x2aa98463, 0x7b551b5d, 0x88524fba,
+    0x9ce39290, 0x30f20f07, 0x84ce3500, 0x4de57ec3, 0x6ac30996, 0x7ff47297, 0x8835586c, 0xbd3d4fa5,
+    0x07b0c3ab, 0xced8ce8c, 0x412f0e8c, 0xcf77665f, 0x7321ec61, 0xa603fc52, 0x20eb2b15, 0x3357b25f,
+    0x7319d7d8, 0x8bfb3084, 0x5e062416, 0x9c9cb3ad, 0xca83b6fe, 0x2e5c2879, 0x1f1813bb, 0x46384c27,
+    0x1654d508, 0x243e751e, 0xab96e4f2, 0x90f5067f, 0x3d0ba3c6, 0x82030dd2, 0xe6172135, 0x5e8aec79,
+    0x00da0e20, 0xed5d822f, 0x761fd9e5, 0xfe27dd7d, 0x535660ed, 0xe026d712, 0x4029ad90, 0xc300831f,
+    0x1cadbc97, 0x1f3c4b33, 0xe2edb842, 0xa37f9db5, 0xfc981f29, 0xc92aadf2, 0xd4a7853b, 0xd7881470,
+    0x7bc55908, 0x049d6e00, 0x78c2bc8a, 0x8c3f8f53, 0xbd569827, 0x87332981, 0xb1c2dbf2, 0x176e3f18,
+    0x60302ade, 0x8afdfae8, 0x62ae35c8, 0x1ae9b82b, 0xe86cb372, 0x91b850c0, 0x1d1775f5, 0x43cdeac3,
+    0xfeec7a6c, 0x170def47, 0xac90edc6, 0x2313554e, 0x055a2624, 0xe682c11d, 0x72bb2516, 0x5689742c,
+    0x5ea9871a, 0xe56ff4a1, 0x3016ebf2, 0xf8ec3f4c, 0x8eb08b22, 0x49b4c482, 0xdf2d2c2a, 0x771f3ccb,
+    0xd283ca26, 0xd9624da9, 0x25928eb7, 0x1da4e41a, 0x964e2816, 0x64df8a5e, 0x3d05b09c, 0x1ac7e16e,
+    0x19420d15, 0x2e8493c5, 0xc4152da6, 0x9c2f010f, 0x0a2bd47c, 0x97d7f8c1, 0xd5762921, 0xfb525d80,
+    0xeea40d89, 0x368f0b31, 0x7082460a, 0xc5b38afb, 0x83917b58, 0xc9261f74, 0x953c13e9, 0x82f35cc1,
+    0x177ec8d4, 0xbb3de320, 0x9ef96a4f, 0x0510b9ec, 0xff7bd899, 0xd949b17c, 0x978be3c3, 0x80fcc7eb,
+    0xe6b83e4f, 0xf1856ff5, 0x99e53c19, 0xdbf9e4c5, 0xb0d9db0f, 0x175b13cc, 0x6caa1a8a, 0xe44414f4,
+    0xb754e32b, 0x21f571c6, 0x020a2d7f, 0x76881f66, 0xf3545752, 0xb9859f8d, 0xada9dbb6, 0xd42160fc,
+    0xaf868bfb, 0xaa871e22, 0xec50260d, 0x7fe867b3, 0x4801847b, 0x02b7fa82, 0x6daa3c42, 0xec3810d6,
+    0xec85ad17, 0x77c4eae0, 0x6ff6af55, 0xe88d3ee1, 0xa021c65c, 0x0c0b131d, 0x7ef461cf, 0xa821e7c0,
+    0xa4bf8b0c, 0x91964405, 0xdd63e37c, 0xabcf3098, 0x6c6e7c61, 0x08fb5c81, 0x3304d8e9, 0x94e16f3a,
+    0x073ff886, 0x9122dc92, 0xc9481d9f, 0xc4dc6c0f, 0x37c54bdc, 0xa824298e, 0xa9daef21, 0x678856ff,
+    0x27f6cc4a, 0x94cd5bf7, 0x725f52e1, 0xd6fc4a64, 0xc6e14637, 0x35a83dac, 0xa86fca66, 0xde1d9783,
+    0x1a49d762, 0xbd5e7530, 0xbcb0d4bd, 0xafbd25a7, 0x4440e18c, 0x2a421d51, 0x0e802025, 0x6c0b2046,
+    0x76a3024e, 0xd1a6da5f, 0x49df5ffc, 0x9c7301ee, 0xf44a0861, 0xf479c6d0, 0x5c1b312b, 0x5f47f7fa,
+    0x35de3bd4, 0x05fe9587, 0xf10e1cba, 0xc1c992dd, 0x67f201bd, 0x163543d6, 0x3a6bb3d4, 0x156e629f,
+    0x238868ff, 0x8d4b29b4, 0x5cd0211b, 0x3759d156, 0x3b106c81, 0x2bab1179, 0xf93e3820, 0x92ffe9bb,
+    0x79c8ad1a, 0x1f7f85b5, 0xfd86f635, 0xa9bdc397, 0x87151d19, 0xdfdd83aa, 0xcaf94f54, 0xc7545019,
+    0x877f37c6, 0xb971c9bd, 0x2beefa5f, 0x3ea741df, 0xdc098502, 0x59f31eaf, 0x8deee347, 0x2f251454,
+    0xab155f31, 0xb6dbd9a8, 0x8eb25c63, 0x6e2635b9, 0x8eea639b, 0xb37424b8, 0x653af243, 0x582de193,
+    0x0a663b43, 0x8248beae, 0x6095fb11, 0x10840e1b, 0xcb0f63c6, 0x6ff60366, 0x2381a4de, 0x8a2bc73f,
+    0x5b59135a, 0x58d82939, 0x9fa23dac, 0xaff0ce1e, 0xb4496a6a, 0x499ea7dc, 0x3134784d, 0x13c9fae0,
+    0xe37f25df, 0x3814442a, 0x49198cee, 0xaf9f8b6f, 0x884c71a9, 0x84aa98b4, 0x8e3818c3, 0xf3a1a580,
+    0x6f46be31, 0xc3a45c9a, 0xf158993d, 0xae9ab780, 0xfc0ea06c, 0x422d5558, 0x18f63f40, 0x86f77d55,
+    0xac6a16a4, 0xfcd9af0d, 0x3c86cf28, 0x20472197, 0xe3ef7cc5, 0xb1d97a3b, 0x4467f169, 0x98349765,
+    0x572b4e4a, 0x36cd5434, 0x0b1b872e, 0x2a4efeb5, 0x6aeae0c3, 0xf6c7941a, 0x9134c26a, 0xc8acfbc5,
+    0x8202ca68, 0x296e3864, 0x0e15ad50, 0x90034ccd, 0x01f7960a, 0xcef6a15c, 0xa14efefa, 0x2563dc4e,
+    0x4d2b827a, 0x12711116, 0x9c8054a2, 0x75227bfb, 0x2b55cfff, 0xa808880c, 0x4ed86eef, 0xae983f03,
+    0xe1a9d484, 0x937c9904, 0x2a90b82d, 0xea59e11d, 0xf00b043f, 0xa1a24386, 0x5f20f755, 0xbf26988b,
+    0x0b310499, 0x31bca1a6, 0x844968e6, 0xbcc91fbb, 0x4e0a8419, 0x55ac661b, 0x83b61561, 0x24c8fea3,
+    0x40d19f55, 0x8a78124d, 0x704bb00f, 0x6a9d57ba, 0x5b2bcf86, 0x081ba76b, 0x786534b5, 0xc41b2629,
+    0xec00909c, 0xcae64e15, 0x334f67ae, 0x0e853b7f, 0x7d141330, 0x4ec1fef9, 0x06713f61, 0x83333925,
+    0x15a0c7d4, 0x63ead8ff, 0xf7a70607, 0x3bf90ca4, 0xac92de47, 0x04da51f0, 0x5d9b1709, 0xca634044,
+    0x97f0e6f7, 0x6449302d, 0xa98020d2, 0x3ec10121, 0x11c844e8, 0x19ec5699, 0xffb17362, 0xcee6c96b,
+    0x1a7bfb60, 0xc5318122, 0x48b1ba87, 0xb308672f, 0x6263088e, 0xfa6b5a38, 0xa78bfd23, 0x29bbb5d3,
+    0x11b69e2c, 0x502d1f41, 0xa46ae911, 0x19ae7ba4, 0xf1fe9d4c, 0x9c7fab9d, 0xc050f056, 0x4c0994ff,
+    0xd15b17c5, 0x747efa7b, 0xcd7349b9, 0x84801668, 0x98847871, 0xeb6a31b6, 0x2530c332, 0x23ca13bf,
+    0xb84147fa, 0xa6bc94ea, 0xf6a9921f, 0x89e5d538, 0x7b9398a6, 0x02df9be8, 0x98ea2bf9, 0xc5f4247a,
+    0xd9fbaf72, 0xfb4a2ea0, 0x68f5ecc5, 0xac195482, 0x51fa92b7, 0x0eccf5f0, 0xc6b340ff, 0xf388b837,
+    0x404cdee9, 0xb547f8be, 0x2100b62a, 0xc6a7b837, 0x0fa2decf, 0x354fadf7, 0x43260dd9, 0x2b42a476,
+    0xa536f0ad, 0x99e0db09, 0x839e3158, 0x8dd4080d, 0x1c50573f, 0x0b03a4ef, 0x8681003b, 0x56a1e662,
+    0x085b9ffc, 0xa61a7c8e, 0x4402f34d, 0xb7a80bba, 0x71c59e79, 0xd43f1969, 0x73b9d1e7, 0x494da699,
+    0x4e9e9723, 0x3b9ebd09, 0x90b1f476, 0x42f648e1, 0xf109540e, 0xede819d4, 0x6fa4a490, 0x2af1c2cf,
+    0x1eb72e79, 0x79aaa5c5, 0xb65e9bca, 0xe2614d58, 0x67f8a22d, 0x46ea5d3d, 0x993f7b6d, 0xf79b4f64,
+    0x296c6d1d, 0x92ea9633, 0x355da0f5, 0x14eb0011, 0x13f30e2e, 0x9d9cb523, 0xcc0e4c1c, 0x3216b3f7,
+    0xc0bfeea6, 0xad48c731, 0xbf562ed5, 0x9df0d73e, 0xcdd784c8, 0x581d739a, 0x4cae0c41, 0xc2354369,
+    0x06e9725e, 0x8f91c17e, 0x6edf705d, 0xb47340eb, 0xce4f3f0b, 0x80876f86, 0x8bdf559e, 0x758abd3f,
+    0xc38de4e8, 0x915956e9, 0x3c6ab760, 0x29d87909, 0x50051418, 0x79d2d193, 0x04653fea, 0x7534ddb9,
+    0x758a4c1e, 0x40c72e12, 0x81a88bf9, 0xde7e895a, 0xe6bf08ff, 0xc5b08f14, 0xb45b3a73, 0x22b87bbb,
+    0x1c3e80f2, 0x411d63e8, 0x09ee5423, 0xb09010ce, 0x3b610e5b, 0xc8d68753, 0xb6c93d38, 0x5e68e67c,
+    0x00000000 }, /* 10**-00000000000000000000000013863348470604074297892070920715418517182185376879082\
+                          87585239790307310653902812811519987203052069789048695605480701785914487078912 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213,
+    0x14ac5b92, 0x54dfdf46, 0x1e98be66, 0xbc08588a, 0xb8317076, 0xd0552714, 0xbd0a7af2, 0x846dfea5,
+    0x00000000,
+    0xbbb76599, 0x6a3518bd, 0x26e1d8b7, 0x6a262625, 0xa75ca360, 0x0e370dbc, 0x6d580421, 0x05916ea3,
+    0x105c25c4, 0x96706909, 0xe889d266, 0x31f953e6, 0xbe61b847, 0x97341acd, 0xce824396, 0x5869a369,
+    0xaef9fddf, 0xf4e324ca, 0x9232d4b8, 0x4193e636, 0x7947bed0, 0x8114a4d9, 0x19cbea77, 0x9e7eac8b,
+    0x384f4b08, 0xe57f32a1, 0x7189aa9c, 0xf6ed9e5b, 0xea9965a8, 0xa820635e, 0x3335de65, 0xbd8e0fb6,
+    0xcf61b278, 0x964dbf04, 0x26f6ecec, 0xc074f764, 0x8015130c, 0xdce7bac2, 0xb4c87ba7, 0x99a88b90,
+    0x9cdb4fb2, 0xb197fa29, 0x08811c2a, 0x1e9a0b3b, 0x90b6fe03, 0x9e99bc39, 0x75345c45, 0x02b3892f,
+    0x39b89704, 0xf58ac19c, 0x258470f8, 0xa5a6b841, 0x34223a1a, 0x04aec2c0, 0x9f69004f, 0xb0673ca6,
+    0xd24e4936, 0xce4c2ed3, 0x2c73ed77, 0xc73058ae, 0xe4b0e620, 0x75cfa637, 0x67229a76, 0x7e7d37ed,
+    0xfbb2e743, 0xd573b52c, 0x69f61403, 0xf3c8cd13, 0x7c2fefae, 0x0a8b04aa, 0x8c7f2040, 0xcdcdc64d,
+    0xbd9b0394, 0x5c366e87, 0x6de60879, 0x6f638f35, 0x08dda9fe, 0x2f38a52a, 0x97ad5c90, 0xe28f843c,
+    0xc048b10a, 0xcf1a819d, 0x5a42356f, 0x59e8b097, 0x7151f0ab, 0x012858c5, 0xa9ca5df0, 0xf3552769,
+    0x048292f1, 0x62eee7b7, 0xc535bad5, 0x7e1f7ebf, 0xdf93525e, 0x7a099646, 0xb8568077, 0xa72cdcee,
+    0xe95dbfbb, 0x04205548, 0x198e7643, 0x8cc1e93f, 0x4399c21b, 0xc420cd95, 0xc33bfb03, 0x44e5739b,
+    0xc2eb1864, 0x3ee0fef4, 0xba50b955, 0xcb08957c, 0xc01e5f6b, 0xbf4ac223, 0xd5b81218, 0x61a6a649,
+    0xd13e891b, 0xf0b95e18, 0xb03fd3f2, 0x92e64457, 0x747f686b, 0x5f99811d, 0x4a21d158, 0x64e5305e,
+    0xca2e8a96, 0x6f01b66e, 0x2294ee3f, 0xea78c5f9, 0x2243d807, 0xdd342461, 0x314ce64a, 0xe29cd752,
+    0xdb64f52f, 0x124af580, 0xe828dfd5, 0x67c73181, 0xa7bee955, 0xf370b663, 0xb8580213, 0x67d2c5f6,
+    0xfb0bb31f, 0xb62fe087, 0x82bd8e6a, 0xe5470560, 0xf373ca9f, 0x77620465, 0xb465ab71, 0xdf829f46,
+    0x6ee7b689, 0x4c7ba36d, 0x72e76d26, 0xb50d7c5e, 0xc26e3702, 0x7e0cbf86, 0x8d3e9ac1, 0x4f7ac30b,
+    0xdd2a9ce0, 0xceb419ec, 0x3e1ed844, 0xe8a9b837, 0x2f173da2, 0x45e99018, 0x3117c456, 0x0832cf2e,
+    0xf737200e, 0xe912fc5b, 0x0cfaaee8, 0xe1fed528, 0x71c7a0ea, 0x206e034d, 0xcead3857, 0x7f26f565,
+    0x2ef6921a, 0x0f4afbf5, 0x22dadd64, 0xfae7e0f7, 0x759e8546, 0xbd6cfa85, 0x4c1e216d, 0x1f614b8a,
+    0xf3c7e01e, 0x051660d2, 0xfb4f5e54, 0x28454409, 0x6b9dce91, 0x7dfa4bf1, 0x41b61353, 0xd7dd5161,
+    0xb0e66344, 0xec602d1e, 0x37c6e4a7, 0xcbdb693e, 0xf6c2751a, 0x9aa6daea, 0xf3fd1ef5, 0x285a5cb2,
+    0xae0d3256, 0x3346121c, 0x547abfe5, 0x60d74a15, 0xb7860384, 0xdba702a9, 0x3183f58c, 0x9983feca,
+    0x73bb4992, 0x7ad38713, 0xb2b88f04, 0x928c7acd, 0x77c39bba, 0x92eba678, 0x8d6dcbc5, 0x7f8f9416,
+    0x9105d65d, 0xf1841eb5, 0xf36685e7, 0xffb2a717, 0xdb7a5a1f, 0x4de4cbdb, 0xd5711e76, 0xa30bb606,
+    0xedbfb18c, 0x6cbdff00, 0x1f7fd18b, 0x445b86c5, 0xb709a34a, 0x923a24ac, 0xaee6697b, 0xd2d611e4,
+    0x3cb8a88f, 0xf87902e9, 0x36a1c0bc, 0x51e6cbab, 0x57d203c6, 0xf986fc24, 0x0617372f, 0xa9d8647b,
+    0x322e64d3, 0x2b227342, 0xba2c7604, 0x6ce85768, 0xcd24467b, 0xd13c93b6, 0x6d28adb6, 0x360b7ca9,
+    0x9ebf40a9, 0x59570d6f, 0xf9deeee4, 0x23b6a533, 0xd5c27f49, 0x11131862, 0x30b50c4d, 0x5142bfc6,
+    0x672ecbbc, 0x31d98c31, 0xaab95de7, 0xd2e3ef61, 0xac29880e, 0xd6920d20, 0x3269f03b, 0xa9ebabca,
+    0x9b703f69, 0x39a63954, 0x9c714021, 0xaf44d7ff, 0x2c479153, 0xaaa1d0f8, 0x402e009d, 0xd19717ae,
+    0xcd12aed5, 0xfdf7df32, 0xed220b47, 0x4dd28eda, 0x2c1e3122, 0xe9b243a5, 0xbe2afe1f, 0xf01d5657,
+    0xd1b9aa6d, 0xcf24de5c, 0x0b2d3705, 0x8a560f1c, 0x1e5f06c7, 0xc646cb28, 0xacf98fbe, 0x0f780f67,
+    0xcfc88df1, 0x1984a325, 0x51491089, 0xb660e77b, 0xc05af86d, 0x99ce4154, 0x0668e2b8, 0x71df8b48,
+    0x7f769dce, 0x3ef92f35, 0x5edab219, 0xf88412b3, 0x454d1447, 0xcf684919, 0x91f9afc4, 0xeb86b472,
+    0xc15ae41a, 0x81e537a3, 0x023cac21, 0x512135b3, 0x41abcd9b, 0x547768f6, 0x8c0fbcff, 0xbad3119d,
+    0xe35d2860, 0x99cb62a9, 0x99b20cca, 0xbd600a37, 0x2aa93d03, 0x8b134f47, 0xf32b4c67, 0x0029cf13,
+    0x5c8b3295, 0x825a36d5, 0xef434b29, 0x4598fbfc, 0x25b822f8, 0x5350ec81, 0x6c4990e2, 0x15aa5f08,
+    0x73deb616, 0x9ae193a1, 0xf622b40e, 0x92eca12e, 0x015a76cb, 0xe5d92467, 0x0362499c, 0xb8591d64,
+    0x0a4b0314, 0x032fc82f, 0x9c58e34d, 0x8592d4b6, 0xd031a45d, 0xc5852b8e, 0xd8282225, 0x28c531a8,
+    0xd565d47d, 0x59e215bb, 0xfa15f422, 0xdea83137, 0x0f8c8588, 0x083cc2cc, 0xecf3b9d3, 0xe9906f8d,
+    0x238fa4b8, 0x12348346, 0x17aa7e9a, 0x28bde627, 0xd27098a0, 0x60b35bce, 0x4907e3d9, 0xcc60f2dc,
+    0x0ad4d5ac, 0xf0fb9753, 0x0f6624e5, 0xc189e860, 0x46f2b960, 0xf9d3da96, 0x22887cc3, 0x78dfd9b4,
+    0xde30dd6c, 0x18f3fe96, 0x3088d51a, 0xeff60937, 0xd46e1f74, 0x46d7bd6c, 0x36281e1f, 0x7e7fee0c,
+    0x061a43d0, 0x8e49fe76, 0x68b7ce8e, 0xd2e0d693, 0x874c61c1, 0xa1f84371, 0xcb4f2d8a, 0xfd9cbe2c,
+    0x2d1f0140, 0xc08bd093, 0xe6f15c05, 0x2474629e, 0x177e2c01, 0xd618ac41, 0x1ec52882, 0x1fd7490f,
+    0xc2b7d64d, 0xd68a5986, 0x86c5fdb8, 0x6414d8fc, 0xccb8cd22, 0x1a10bbda, 0x10aedc24, 0x517f0f54,
+    0x496733ed, 0xdaf5ea3e, 0x01fea098, 0x0d8ff9bc, 0xb019f550, 0x3e007a8b, 0x553b64c0, 0x8aa4a523,
+    0x4db0662e, 0xf6d21bd9, 0x96cb2b5f, 0x48b5cf2d, 0x2e38ef99, 0x07241159, 0x14344f51, 0xa75c2f79,
+    0x233bf94d, 0xb5aad08a, 0x67c858da, 0x380ea2e5, 0x571a84ce, 0x39ab90fc, 0xcf28181b, 0x09e973f6,
+    0x74ab8dd5, 0x9f6b4375, 0x2acd0080, 0xf0112218, 0x1b553099, 0x7d56fec2, 0x2b5f09ce, 0xeaf13edc,
+    0x1c6c6eff, 0x76229811, 0x5e7a9f7f, 0xc1e5e410, 0x860ed64f, 0xee4b8255, 0xe5382af5, 0xff3d2a64,
+    0x20a2c768, 0xff884427, 0x753ebdf5, 0xf63d4054, 0x362542b5, 0xd96cc541, 0xaca34183, 0x89dcf3e2,
+    0xf185fa5b, 0x76f6b1da, 0xb5fd64e1, 0x1de7f89c, 0x3b648d5a, 0x2b09aeb7, 0x63495c9c, 0x0bcd5254,
+    0x6fbe5a03, 0x5438477b, 0x0cb1674c, 0xe8069352, 0x9fba0105, 0x8894db14, 0x8ca55068, 0x3eb671f4,
+    0xeb565dcb, 0x8b2d197c, 0x7519cc86, 0x457179ca, 0x596299c8, 0x28883805, 0xb05af2a6, 0x25349be9,
+    0xb1213386, 0x38bca580, 0x8d0e1812, 0x8774a871, 0x05fce898, 0x711482d4, 0xa8dbc3a3, 0x0aabb760,
+    0x08ad874a, 0xde3ca70d, 0xcba20cbf, 0x1ef518f0, 0x14cb0bf5, 0xab7e18dc, 0x5d1c6ee3, 0x6d866d2a,
+    0xd48b7d37, 0x11bc4658, 0x50b244aa, 0x6e9d1546, 0xa9a20334, 0xeb9dc397, 0x4adc9e57, 0x29df84cd,
+    0xe7058c65, 0x2dbb765c, 0xb2cace07, 0xb3b080ad, 0x72039738, 0x91ca9110, 0xe4bc224a, 0xb1412c7f,
+    0x9b3651cd, 0xd5059697, 0xd185c8e9, 0xef89e71b, 0x6ee70dc9, 0x7074d723, 0x8a2ad83b, 0x89ccf791,
+    0x4e5cad8e, 0x4fb66ff3, 0x1daaa387, 0x682b96b4, 0x816bb376, 0x7a5780c4, 0x7fffc5f3, 0xf44e6ec6,
+    0x04dd08e8, 0x8c621dec, 0x8ad7c225, 0x641240a3, 0x4e83f6c7, 0x2a3e8fa8, 0x17facdec, 0x0a18477a,
+    0x4dca0494, 0xcc8d334b, 0x4b92fcce, 0x79ae6472, 0xb56647ad, 0x11483e8c, 0x641119ec, 0xc8aada39,
+    0x02aa1bbf, 0x5eae803b, 0xdd351c15, 0x3fe90c1f, 0x56cf8e1f, 0x8b0d67cf, 0xd181bda8, 0x4b019b32,
+    0xc9e3bc67, 0xdafb4265, 0x937c228c, 0x3a8d5e91, 0xe7238fac, 0x4ddb29d3, 0xf8339d3f, 0x44124eaf,
+    0x38997b66, 0x5974f3e6, 0x3fd27abf, 0xfbac734f, 0xae40cfb9, 0xe4729e76, 0x2ed97cae, 0x739e9648,
+    0x48ecf0fe, 0xa1dc2810, 0x55ae47bb, 0x31d2d203, 0xd1869ea8, 0x56cad3f8, 0xc110a3d9, 0x52aa78d8,
+    0x53afe24a, 0x2dba4c83, 0xd8b56c38, 0xd52cc45a, 0x22b1f4ec, 0xffe5b3a7, 0xf99f62cb, 0x323f6cf3,
+    0xb748c8db, 0x61d733e9, 0xe40b92bb, 0xaec8ef1d, 0x802ac7b1, 0x2a3ee35f, 0x3b89e1ae, 0xf70debad,
+    0x92c4282b, 0xd8d47b46, 0xb9df982a, 0xf34cc317, 0x1c35a72f, 0x09b19a29, 0x41eb1d43, 0xce2ebecc,
+    0x8ce87407, 0xe94f229f, 0x5e186055, 0xd95193a5, 0x1825b4be, 0x668098c0, 0x2a6fe6ff, 0x900dec38,
+    0x27522a39, 0x259956d1, 0x22ef2788, 0x2be5c9ef, 0xc1988a20, 0x3734c2c8, 0xa45ee530, 0x1df00c73,
+    0x141563fc, 0xda67b8cd, 0x77567453, 0x63f97855, 0xceb13700, 0xbb502d2e, 0x3211ca00, 0xa7bbb249,
+    0x27895602, 0xe19532d9, 0x4196ac42, 0x45831cfc, 0x4b4319ad, 0x7dbe3aab, 0x88a9b505, 0x1c4c1c97,
+    0xa5913f8c, 0xa2e09537, 0x708c03f5, 0x7b7460ee, 0x5eac8263, 0xfeb3681b, 0xd7d81d47, 0x2983bcc1,
+    0x5627ecbb, 0x728ea096, 0x987a75b8, 0x045b1778, 0x59f24569, 0xb3b7229c, 0x07f0ceb4, 0x3a5ecbbb,
+    0x87895923, 0x763c844a, 0x81c3564c, 0x32020659, 0x9ed89706, 0x4c680562, 0x71486fab, 0x732a14ee,
+    0xb50e6a6a, 0x8cd1c9ec, 0x1c62a6ed, 0xa6b14337, 0x4c30ec6c, 0x73160a8b, 0x6e389ec1, 0x3e7776bc,
+    0x76a98561, 0x5a09b98e, 0x61c3c2db, 0x08fc7b88, 0xb4cc212e, 0x3e9087de, 0x40752ee1, 0x47916334,
+    0xd0752587, 0x2f1a431a, 0x2f4a1d52, 0x0cb8442f, 0x986e4c5d, 0xb7827c26, 0x1e658096, 0x45008041,
+    0x07845a8d, 0x5482ce23, 0x018b37d1, 0x88ff04bf, 0x38698a6a, 0x794560da, 0x700cac52, 0x61ad1c14,
+    0x08a12eb9, 0x07307b90, 0x37b50566, 0x07330a06, 0xd95f7c20, 0x1222dcef, 0xed0ee169, 0x608259d5,
+    0x0995feb0, 0x6eb13b48, 0x2603f0bb, 0xb575b4fc, 0x89b6cc83, 0x3e7a0d33, 0xf495026a, 0xf72317d0,
+    0x7bba2cc4, 0x43769468, 0xf4ff5b21, 0xf1ef4700, 0x748534c0, 0x5429b2f1, 0xf34e88a3, 0x1a9f488e,
+    0x70f6b39e, 0xaf207fad, 0x938ac43c, 0x9cf86ff6, 0x0622ee79, 0x9388c027, 0x90838c5e, 0xfb4f6040,
+    0x7658c75c, 0xc81e4d22, 0x6c451d9f, 0xbc319693, 0x83a7a92a, 0xbd62941f, 0x0681b80a, 0x281d9b14,
+    0x7728587c, 0x704c1727, 0x4d163eb7, 0xf1ffd042, 0xf3496f64, 0x0e5fbe70, 0xb4f10d21, 0x6d82c888,
+    0x2f6ee15f, 0x302dcfe0, 0x8c18c4af, 0x753687c3, 0xd0a3547f, 0xc6a0ac43, 0x8d1dd7d6, 0x384ec824,
+    0x2c6004ce, 0x5f098d6e, 0x3ca83946, 0xb29bd86e, 0xb2eb54d4, 0x3f60ceca, 0x52a94531, 0xd2e4ab7c,
+    0x4ec06e40, 0x8155fa07, 0xd8f00085, 0x5f72a5e7, 0xec8b3038, 0x03e9c4b7, 0x5ba1bc2f, 0x2d0ecefd,
+    0xcc4b239a, 0xac74a3a7, 0x751c5523, 0x2285fabe, 0x706d32c2, 0x44319779, 0x97a82adf, 0x9a998b88,
+    0x9ce5981e, 0x528e5a27, 0x7e51167e, 0xb2321db4, 0xa6f13bec, 0x8541c2bf, 0x23466f22, 0x03c5aa42,
+    0xcb2121ac, 0x9543919a, 0xfc86ab54, 0x04634586, 0x6eb3151a, 0xf0acc10c, 0x0e5287bb, 0x7cb5ab77,
+    0xf76f5ffc, 0x710d6a2e, 0xcfe72a03, 0x88eb2f0a, 0xe945c66e, 0x143c19cd, 0xfcfff788, 0xaa5c17b0,
+    0xc0b014a6, 0xadc4ea53, 0xa5352022, 0xde74c4da, 0x788b177c, 0x304d3647, 0xca5b84a3, 0xee5890c3,
+    0xd1cecde1, 0x41aa10b0, 0xc7dc2461, 0x24d6967b, 0xdc0bf3d6, 0xa3986f96, 0x63cc01f9, 0x9ad06d51,
+    0xacfbc544, 0x0d15c02d, 0x80b376bd, 0xb243e78b, 0x0186e2b4, 0xba7d1c3a, 0x1dc57cc6, 0x30037cec,
+    0x8759a4b3, 0x690313d6, 0x0dc1141b, 0xeee3ccc4, 0x95f8266d, 0x2c04f585, 0x21151900, 0x085e72bd,
+    0x6be77b52, 0x40bab13a, 0x22acfefa, 0x2b3020f2, 0x81a91e36, 0x580822f6, 0xaa6deb07, 0x179f1afa,
+    0x59840c10, 0xa9d40aa0, 0xd337dae7, 0x931cf590, 0x36f2ce51, 0x31586503, 0xd3ee11e7, 0x3f2e8f70,
+    0x87c855bc, 0x6548ed1b, 0xec8d1b47, 0x0d5d1492, 0x3d022a21, 0x3c2c39a4, 0xbf4b0cd2, 0xf0486bd9,
+    0x44154f8d, 0x413461c5, 0xe69ade9b, 0xfef59e6c, 0x152c880a, 0xe04dcd71, 0x31ba392a, 0x871cf574,
+    0x83f1475c, 0x20277ec1, 0xf1864c9f, 0x2b9d2a34, 0x32034c31, 0x9fbcc9b9, 0xdef8d2e0, 0x6298797a,
+    0xccceb928, 0x7085f0b4, 0x0fa9bd42, 0x80f6dc12, 0xf49b8cde, 0xee1eb12d, 0xe7742a01, 0xd93db4bb,
+    0x2d650d51, 0x58e93151, 0xcbd9f4f1, 0xa3e3637c, 0x567e0939, 0xc175ce56, 0x12817eed, 0x11248198,
+    0x93f54b17, 0xbbe1e0c0, 0xf6cd7a67, 0xcf170db6, 0x7da65c95, 0xff71fea4, 0xb8a677af, 0xe0d991d1,
+    0xddb1a9c4, 0xff5ce9b8, 0x1495a3ff, 0xbf8bf82c, 0xb13d084d, 0xfd996916, 0xc84ef638, 0xf7d18a28,
+    0xa172d984, 0x7e1c4e87, 0x07a70f92, 0x94f8ee4a, 0x4840a521, 0xc33327f2, 0x40e52232, 0x39a5d691,
+    0xde11c9de, 0x3189a4a8, 0x096af9a9, 0xcb592938, 0xbca45a4f, 0x21e512f8, 0x0ca98e37, 0xdfbf04cc,
+    0xf5011036, 0xe5e2d0a0, 0xfe8271a5, 0x45bba01c, 0xf10545f0, 0xcb5a246b, 0xb69fc173, 0xe60ad262,
+    0x34ffddb9, 0xd8d2095b, 0x51949514, 0x9a23d9ae, 0xe81fe5d7, 0x57311d72, 0x37a851ad, 0x2681b7c0,
+    0x5c5842ee, 0xfd5d5cb1, 0x11dd06d4, 0xd7215020, 0xf9626026, 0xa78092e0, 0x4b6d9f15, 0xd28dcd71,
+    0x61f9c283, 0x716bf57c, 0xa3501266, 0xacdcbe78, 0x473d466f, 0x1ce3eefd, 0x6d47ed35, 0x592e26ab,
+    0x4dac5ba6, 0x81652206, 0x6675a008, 0xc6b2ae99, 0xdf5b645a, 0xcfbbdddc, 0xefe75046, 0x8c231e62,
+    0x4d6c4eb7, 0xa028070a, 0xc71e8391, 0x10105376, 0xb034bca3, 0xfce64052, 0xc7e6333f, 0xf2999630,
+    0x880d6eee, 0xed4bf47c, 0x99e50b9a, 0x22cd4664, 0x8071fbf7, 0x705e3765, 0xd208f587, 0x0f20cd9d,
+    0xc8ecd2d2, 0xa74c4d09, 0xb86c9445, 0xe09973df, 0xf0b320ea, 0xa287c744, 0x88980419, 0x39991ff5,
+    0xbfbf8cda, 0xfc7d3938, 0x234f3aca, 0xd1388712, 0x060e3a38, 0x9786780a, 0xcf0673b8, 0x471f672a,
+    0x4e76fa09, 0x7c4bfcf9, 0x789eca44, 0xc0145cc2, 0x1ce7ac48, 0x920ba8d3, 0x3c8c3733, 0x9008f9a6,
+    0xeabf7982, 0x91b6739b, 0x64315b1a, 0x38cf8ace, 0x62c48938, 0x3924a9c9, 0xa38c71b5, 0x90315fa3,
+    0xeed9b1fd, 0xa1e71e97, 0xca339e72, 0x3e2170ad, 0x74eb10af, 0x30580713, 0x00635821, 0x04d610b8,
+    0x25703e68, 0x7b7cce42, 0x3b9f2be7, 0xead364cd, 0x5ffc394e, 0xe52b849f, 0xf3409fee, 0x9d34e484,
+    0xf23fc107, 0x6f775386, 0xafa485fc, 0x6daa1829, 0xbb650433, 0xb6d77180, 0x086cd2f0, 0xd9f47bfb,
+    0x00000000 }, /* 10**-00000000000000000000000006931674235302037148946035460357709258591092688439541\
+                          43792619895153655326951406405759993601526034894524347802740350892957243539456 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909,
+    0x8a562dc9, 0x2a6fefa3, 0x0f4c5f33, 0x5e042c45, 0x5c18b83b, 0x682a938a, 0x5e853d79, 0x4236ff52,
+    0x00000000,
+    0x9b023a73, 0x665cddbd, 0xdb5c9519, 0x899524cb, 0x32fd6b1d, 0x4ecb553f, 0x80fcec95, 0xf9232df0,
+    0x62f25e77, 0xb69506ef, 0x335a00ce, 0x5360bcac, 0xa1d34436, 0x6c30b713, 0x16aaf76c, 0xbfe45265,
+    0x6dc4bdd8, 0xba1f99be, 0x10cffe5b, 0x658a351b, 0x69b50174, 0x54af30f6, 0xfcf30fd5, 0x83e907ec,
+    0x6a9cbf62, 0x7797bba5, 0x8369f834, 0x90a37fa4, 0xea2434f3, 0xf1a31a48, 0x7250629e, 0x1f0c919d,
+    0xf97e686b, 0x85a3a864, 0x0644f773, 0x5e1ee7bc, 0x2be88905, 0x87658672, 0xbc7797ac, 0xca2af2f0,
+    0xfaf9f1ed, 0x5121bb1b, 0x1685151b, 0x27aa267b, 0x7cdb013b, 0x1a893bb4, 0x614d3642, 0xc755ba4e,
+    0x39c2d195, 0x38ecb4e2, 0x6bdf21da, 0x93ab1c4f, 0xc83741a4, 0xc0ebbd7c, 0x5499125c, 0x26882dd4,
+    0x91b8671b, 0xcf0d063b, 0x4280522f, 0x1d6a46a3, 0x0eef9422, 0xad45ac3a, 0x8ac33530, 0xd7faf2b0,
+    0x37ce25f8, 0x10a55efe, 0x1956fd27, 0x705aa044, 0x75a41e88, 0x40369dd0, 0xf7265363, 0x5f3f47a5,
+    0x36e77b41, 0x49498f44, 0xb4021d14, 0x7d138cf3, 0xaceff7ee, 0xe3d1db24, 0xf970ace0, 0xf5508564,
+    0xdb04c612, 0x535e0245, 0xec00a9fe, 0xf491776a, 0x63b60b37, 0xfc50cb34, 0x3f356b2c, 0x68e6230d,
+    0x56372929, 0xff4d163d, 0xca4a5480, 0xc09c0410, 0xb8ba80b4, 0x8a81f4c1, 0x9a321dd6, 0xff14abb0,
+    0xced157b8, 0xae963bdc, 0xf51eea7a, 0x75fcbabf, 0x4a29a7e5, 0xf0d33628, 0x55bc9da0, 0xc6d8da59,
+    0x9a783897, 0x007848ef, 0x372271aa, 0x6c092e47, 0x7af6cce7, 0x770ea552, 0x4fdb3cf4, 0x671b3121,
+    0x6589dea0, 0x7f0193fa, 0xb797dde2, 0x86515138, 0x0be67f3c, 0xbd5700f1, 0x9ecf6306, 0x7791a9cf,
+    0x8409eadf, 0x043308f3, 0x87d48dd1, 0xbefb9b46, 0x88f25fdb, 0x17e93795, 0xeda8cafe, 0xec5ee679,
+    0xdd57e853, 0x2739aa20, 0x198fc3a4, 0x14067620, 0xce5ccc85, 0x966fc44a, 0x3ed38f89, 0xfc33851b,
+    0xdf432a91, 0xc664d266, 0x47e17ddf, 0x6e973b51, 0x08abea8b, 0x9d940b45, 0xad04e71a, 0xb0c5d839,
+    0x1d3d0fa0, 0x95c3f14f, 0x85be89fd, 0xb319863d, 0x85d1b74f, 0xed6ff0b8, 0xb02ba3ef, 0x33c51a44,
+    0x0e637938, 0xc86be2f8, 0x11d5e8a9, 0xdf301a32, 0xff21b8b2, 0xb7d6a1a9, 0x093d2da0, 0x9e77e1eb,
+    0xd1b0cde9, 0x94ae092c, 0xb146acb5, 0x063da2ff, 0x3c9f6e73, 0xe962f790, 0x7e5e0ae4, 0xe87c2408,
+    0x4f438221, 0x52587d1b, 0xbc5fdb00, 0xca1814c0, 0xc0f1ee77, 0x4c798c6e, 0xc1c3666d, 0xabcfeb5a,
+    0x5da30377, 0x28111b1c, 0xde40f29d, 0x82db85e8, 0xa8a8c8ae, 0x6c5de66e, 0x494382a2, 0xb6b00ca2,
+    0xf86b04c9, 0x0df59c00, 0x8197e520, 0x76eff8fe, 0x59e17841, 0x970ee7c0, 0x02fc4a2a, 0x2e14e0a7,
+    0xbe1a5a3d, 0x0279bf18, 0xe30482a8, 0xdad771f7, 0xd1c148e8, 0x56847420, 0x60409494, 0x9207dcd3,
+    0x1f724f3d, 0xe749e5d0, 0x92adf040, 0x4119e7a5, 0xdba0a635, 0xf5d9a43c, 0x48d41a1d, 0x73d3a9cb,
+    0x59559a4d, 0xda5e12d8, 0x4ef2db91, 0xc3921099, 0xaca0cd33, 0xbb36dfa2, 0xeb5dbbba, 0x15454788,
+    0xab065586, 0xe5bd7e5a, 0x8c245280, 0xebb380fe, 0x565c9a6f, 0x1672b2dc, 0xf758f1b4, 0x782cfd5f,
+    0x97a0ccf7, 0x186a666d, 0xe3936363, 0x700ac724, 0xf22fc395, 0x7d6dfd33, 0x19f3f7a7, 0x7d2b8859,
+    0xd3988230, 0x901c2657, 0xf786f2f1, 0xf57608a6, 0x354cb78e, 0x2e9b19a0, 0x186b2180, 0xedf6ae89,
+    0xa4b55bf5, 0x1cea26d0, 0x3649df22, 0xd3121f3a, 0x6f81225a, 0x4ec0cc24, 0x1a3b20db, 0x0da3ecb3,
+    0x5b484d8c, 0x80d48b6b, 0x6dbd2d6c, 0x9df20183, 0xe609ad08, 0xff6b50c4, 0x429fa929, 0x7b548b90,
+    0x11adce2c, 0x28fe0c9a, 0x57eb3f8c, 0x47421577, 0x408f78f3, 0x828daa16, 0x83a5fd00, 0xea6d796c,
+    0x076be443, 0xa448c282, 0xfe5eb4ef, 0xd728f554, 0xf8956a8d, 0x031d6a47, 0x9502c945, 0x282d232b,
+    0x41fe9fc8, 0x5799216b, 0x44cbbefc, 0x94eed095, 0x40596a81, 0x54dbbfa1, 0x81f7f995, 0x399c3c20,
+    0xab2d61ea, 0x3a806c01, 0xd30211d0, 0xe4e15994, 0xa860a722, 0xfc69a476, 0xbd271569, 0xcc2bb45c,
+    0x0edb1a75, 0x8b8a62f2, 0xccf83641, 0x8af66f70, 0x53228ac8, 0x4d6ac641, 0xf8eb4ebf, 0xf854551b,
+    0xf06f4169, 0x3652a1c7, 0x8d94edb5, 0xd3a546aa, 0x8e6b90ee, 0x790629e9, 0xf1a4b0b7, 0xa55ae2b2,
+    0xf26a7848, 0x5c4ca03e, 0x983037c9, 0x1e5eb221, 0xa0facb15, 0xa42656b3, 0xd685b57e, 0xf8f04ee6,
+    0x211a26a8, 0x32d481fa, 0x0c433ce9, 0xb774a580, 0xc2057fc7, 0x3831301b, 0x6e7b8a36, 0x7f70e5da,
+    0x50bda6b3, 0x3251a6c1, 0x5d210e6e, 0xaca82634, 0x3881bfc4, 0x685a8cf6, 0x9e29e29d, 0x8c93b521,
+    0xc6e06457, 0x494dea45, 0xa8f98b40, 0xaddb881b, 0x29086222, 0xb57f71fa, 0xbc9dd1e3, 0x08795f02,
+    0x6fcd30be, 0x5e532c2f, 0x7de0feb9, 0x46cf2462, 0x90e0d912, 0x5515a476, 0xc6faba2d, 0x4af3adea,
+    0xd1192e73, 0x9d7f2f03, 0xb22b2103, 0xf63dd2e6, 0xd90f15ed, 0x9b4f6d83, 0x119c168d, 0x59e549a8,
+    0x30059bb9, 0x5dad344f, 0x23013fe4, 0x7c38a7f1, 0x68786a06, 0x6d476da9, 0xd54211b9, 0x183e8bfd,
+    0x4597d601, 0x2567d692, 0x65db4476, 0x50aafd79, 0x52c1c72c, 0xcc206326, 0xcbdb98bc, 0xc7fb26a6,
+    0x49a6a2f4, 0x04eba080, 0x3901feff, 0x8295ab3d, 0xf9da1d99, 0x8a03d080, 0xeeaa54bf, 0x914add0f,
+    0x26598a7b, 0x4aae60df, 0xa480bf8b, 0x3ae030e1, 0xaf23151f, 0x4b97eb78, 0x1f7693d5, 0xa353f140,
+    0x6162b13b, 0x98d9d6f2, 0xc39abf7b, 0xace88525, 0xeb0a250c, 0x32767249, 0x1da14863, 0x16f47d24,
+    0x41642df1, 0x2d9548bf, 0x1d56f385, 0x39798491, 0xc62d31d5, 0x052d4453, 0xb3bc9a89, 0x2cbb831f,
+    0x30aec029, 0x92e35c72, 0x5e08163a, 0x9fcf7031, 0xdc5c45da, 0xe59a79fa, 0x259f01f3, 0x16953ff1,
+    0x55d6fbd5, 0x8e753b05, 0xa31379e7, 0xd26b71b0, 0xa27e3b4c, 0x62a4b199, 0xe27016b2, 0x0e0682bc,
+    0x4122e89d, 0x240682c5, 0xa1e4fed0, 0xe9614784, 0x3bdb0d35, 0x0cc69da7, 0xf0fe6a04, 0xfaf46203,
+    0xa3f13599, 0x58eb6ab8, 0x906f89f7, 0x118d653b, 0xf19b5084, 0x79f19422, 0xee64d83d, 0x62be8f9f,
+    0x95c5c215, 0xfe4db7ea, 0x6c1d118f, 0x78b549ba, 0xa388200f, 0x1d24d3c2, 0x25f08468, 0x88066017,
+    0x86187bcb, 0x9f5ec8fc, 0x6f292c3f, 0x580e6d66, 0x9afa1297, 0xc6ccb493, 0x9d681440, 0xf25cebe3,
+    0x84901b14, 0xbed1e6d3, 0xde5018d7, 0x6c5b8b2a, 0xa8feb5aa, 0xf79cc8a1, 0x3207ce9c, 0x4d505683,
+    0x56a6fe1b, 0x945dc6dc, 0x0a4ba240, 0x156963ba, 0x94ff9c38, 0x9d18c17f, 0xbd8a24e1, 0x023ed580,
+    0x4eefbf88, 0x66abc41c, 0xbf3f2f0d, 0x2e0de969, 0x79e04278, 0xbebd564b, 0xa00e7841, 0x0cacc705,
+    0x80e7ea5d, 0xf3481452, 0x39d69b14, 0x5cd1adee, 0x78294ab5, 0x9546c2ed, 0xf7b145f6, 0x641168a9,
+    0x236b79cd, 0x4cc0f515, 0x365125ef, 0x6aa7cbd5, 0x073c5e58, 0xf1d0d231, 0x8341356b, 0x491a67ab,
+    0x9d310ceb, 0xc68464fa, 0x3076415d, 0x8f8b549d, 0x86ce0205, 0x3d60d015, 0x4d50563c, 0x68bcbf8a,
+    0x5dda2f7e, 0x029cfffe, 0xb76ad8d5, 0x9f4b4cfc, 0x42e9542a, 0x93232e49, 0xd4ef33c2, 0x073a395a,
+    0xb6def0c0, 0xde54c361, 0x63315cf3, 0xca24cceb, 0xe8c0dcd0, 0x3229d648, 0xfb9d56c6, 0x5f9d2640,
+    0xd7a1956d, 0x0ee058d2, 0xd0a25a94, 0x042d2948, 0xd013fac8, 0x1cf5ddda, 0x9d123ffc, 0x7c828e9b,
+    0xfb67f4d3, 0xdc5a7550, 0xc4af17a8, 0x77fdd103, 0x111a6efe, 0xffa23afb, 0x7ec6ecc0, 0x281893e6,
+    0xb31fd63f, 0xc81e08e7, 0xc78d6e51, 0x89c49215, 0x3a33fbfe, 0x9b85269a, 0x96558056, 0xdcb6f351,
+    0xb7ad5709, 0x410556ef, 0xf0eac432, 0x9c1ff9e6, 0x71938730, 0x96d7ce6c, 0x189e4411, 0x8f9b5b01,
+    0xf6f55ebc, 0xac784058, 0x1b3fb15e, 0x7f73ddd0, 0x0ca95f20, 0x6cbef45f, 0x3c5b23ab, 0xe25809b3,
+    0x1a4322ab, 0xc417dba3, 0x03d1a407, 0x753caff5, 0x6f3f81d0, 0x186cd814, 0x0ab94621, 0x8d4bc630,
+    0x2feb2780, 0x7f151f55, 0xc527705f, 0xcf794132, 0xcf1511f5, 0xb0a9626d, 0x9f2c7e6d, 0xad64187f,
+    0xc307afaf, 0x2b5f5596, 0xf00b0f89, 0x3eaa7049, 0xce2aafcc, 0x594fc365, 0xf1294b69, 0xe491db5c,
+    0xcdb052a9, 0xc9006505, 0x3aa6947a, 0x1b240ca6, 0xf4058cb5, 0xff119137, 0xf21bc281, 0xbfa7819d,
+    0xa283f539, 0x9d7803b6, 0x24f54065, 0x7c057ae9, 0x1c4d63ab, 0xf47823d2, 0x8a106b96, 0xc178eb23,
+    0x562b9fc6, 0xe3f4bd64, 0xab7eae67, 0x45183c54, 0x022f5404, 0x3fccb231, 0x7728dd38, 0x6097e291,
+    0x09033405, 0x4a322819, 0xc295f4b3, 0x2d8ed6ef, 0xf4af81db, 0xcb2b1a5c, 0x124e0933, 0x0050a20d,
+    0x53aa9f84, 0xb0e16b18, 0xcb38be7d, 0xc96128ab, 0xd9496bed, 0xb9c6c068, 0x4afd5adb, 0xe40cf40c,
+    0x85488fbe, 0xff8f04c8, 0x8ebe80d0, 0x1b36d4c7, 0x07497825, 0x454e56a2, 0x62aba179, 0xbf4adee1,
+    0x06935bd5, 0xd082cf4d, 0x0735c64d, 0xa2485528, 0x017cbee3, 0xb986b61c, 0x0b9fe227, 0x4ad54592,
+    0xbcbe8904, 0x2412c6a4, 0x5a7ecce8, 0x9dcafdcb, 0xd5d65723, 0xba5e02d4, 0x59bb7fb1, 0x92672187,
+    0x0d1cf869, 0x39b8bb56, 0x11832f89, 0x29cb725e, 0xad4125b3, 0x126aa600, 0x7a1693a7, 0xb171e68e,
+    0xcf0ad944, 0xe5bf67a1, 0x742a1cfa, 0x0d4c863d, 0x1f166062, 0xd88e0496, 0x6c0c0d79, 0x236efa83,
+    0x2728319a, 0xbd36b118, 0x34461837, 0x204a58c3, 0x367561a0, 0x2235e4db, 0x6bf296f5, 0xb7bca455,
+    0x20e63178, 0x0a3af339, 0x17c18d32, 0x0bceca54, 0xe4a528fe, 0x523f803f, 0xa7c825e8, 0x8edeca9a,
+    0x028c046c, 0x5cd0257d, 0x3f60943e, 0x0f1d838d, 0xce7823f5, 0xd5f6919b, 0xd66b9d14, 0xab00f597,
+    0xbb0ed248, 0xaebc8042, 0x08da4bd2, 0x9ae561cc, 0x6e5eef55, 0x1161538b, 0xc79a5dcc, 0xf25da95a,
+    0x60623df5, 0xb07e5032, 0x6dca097e, 0x36cfbc86, 0x8c6a760f, 0xddbc71c9, 0xd6158d43, 0x8f40209a,
+    0xf9c07166, 0xcb8ab117, 0x0ca12dac, 0x0ac0d8ef, 0xcef35626, 0x4f5afd2e, 0xbdf38915, 0x514f1e27,
+    0x63aae3ad, 0x0470742b, 0x0072d44f, 0x2d94bf5e, 0x7237bff6, 0x9e3e93f0, 0xa01d7cea, 0xdd19d837,
+    0xd7c787d6, 0x8c338998, 0xf60e152e, 0x1906f464, 0x9bec0335, 0xed1b9465, 0x673d43a0, 0xa8c791c7,
+    0xb1d0d1bf, 0x44041804, 0xc597591e, 0xac8509b7, 0x222b5372, 0xf3174b67, 0x6b81ee4b, 0xb2ce20b2,
+    0xa3484eb0, 0x29e7a83c, 0xc0e3ceab, 0xe53989b9, 0xc2516344, 0x0b2da60b, 0xfb52f415, 0x2103410d,
+    0x028c4e1a, 0x0a75bfcc, 0x26379cce, 0x9b8ee8a0, 0x7ec4450f, 0x43cbda2d, 0xd5357a61, 0x39cee2b5,
+    0x8c1078be, 0x05458b29, 0x252bf507, 0x5d0111c8, 0x8e3762fd, 0x36b667fc, 0x2db59d36, 0x6e552bb2,
+    0xeb9c1ed6, 0xc7acf0d9, 0x2c4a7f27, 0x105f43c0, 0x4f17a613, 0xe396c66c, 0x46a1709a, 0x6c18550e,
+    0x52041638, 0x8e2b16eb, 0x07cf4ba1, 0xb6a6bce7, 0x9a1b0ce2, 0x4dfc491e, 0x3d99f283, 0x7a0afa3d,
+    0xac4d2fe5, 0x386449c5, 0x30fbcf9c, 0x2e81b0ba, 0x6f7b03ee, 0xe151961b, 0x6ec1002d, 0x42875de5,
+    0x0daf0f56, 0x05ffc31e, 0x568f983b, 0x36f444ad, 0xe06906d5, 0xa2edc5dd, 0xc9e8be25, 0x33a7bdbf,
+    0xe70c3630, 0x9261deb5, 0x4b791a9b, 0xf60e8050, 0xa6121250, 0xa4ef4c02, 0xc7d36c3c, 0x64a58d8e,
+    0xc49549cd, 0xf4284889, 0x6f10330b, 0xf17c0930, 0x1a034650, 0xb7454c12, 0x855ebe0f, 0xb06fa2b5,
+    0x0bfe9bbf, 0xf2b69966, 0x262f2f59, 0x46362c67, 0xedfece90, 0xfbd80175, 0x01016957, 0xdbebd6d4,
+    0xda7f2783, 0xe18c684a, 0xc39d8fb0, 0xf4a25254, 0xd66f094b, 0x0dea288d, 0x55632351, 0x04275a05,
+    0x086c6555, 0xbac71c3e, 0xb2ecdb40, 0x9c6d4676, 0x3f8c1936, 0xe95a2912, 0x49dc4cdc, 0xee6e5c4b,
+    0xbe239286, 0x980f7d6d, 0x80ebee9b, 0x8babb540, 0x41f5cf34, 0xcd9d6a6c, 0x85380d1c, 0x238cfcbf,
+    0x64a427fb, 0x3e3c4081, 0x537346d5, 0xa799d43e, 0xc6398e8b, 0x2441ce1e, 0xc5e423c8, 0x7a2e8ed7,
+    0xc87d69e3, 0x784331e5, 0xbf20b215, 0xd90dd87a, 0x2c5fb4ca, 0xb3163d3e, 0xc7eaa203, 0x1378fe9a,
+    0xbabd189e, 0x2993bdf2, 0x52abe691, 0xd748d6c5, 0xedf42e64, 0x81bad2a7, 0x55bdf753, 0xbc42f529,
+    0xc24322a4, 0xae4d7144, 0x33dda59c, 0x664920c0, 0x794586cb, 0x854bc5ce, 0xe1bc5a77, 0x16b9a621,
+    0x0d7a42b9, 0x3d3e4cf0, 0x6179c638, 0x37ab4857, 0x1a2099ff, 0x386017b7, 0xad65c9a7, 0x7641516b,
+    0xa249de63, 0xebf1ddb4, 0xcd8ccfc0, 0x3736cacf, 0x0008e34e, 0x083f7715, 0xb6abe395, 0xe4128eda,
+    0x364e177e, 0x3c3638e8, 0x43c43d7b, 0x88ac7eb6, 0x18c4071e, 0x4070a32a, 0x380cd877, 0x7b70160c,
+    0x879456e7, 0x0839d58a, 0x57d6bdb4, 0x541abb8f, 0xe95a8385, 0x494aba20, 0x66c7d224, 0x48ed1261,
+    0x3da78014, 0x989bf267, 0x8123131b, 0x0286e32f, 0x391f2008, 0x7e8ca6a3, 0x6332470d, 0xd79ded49,
+    0x3b048e77, 0x5560d204, 0x264b6884, 0x2ae97a59, 0x61bd9b38, 0x1b5690a0, 0x13c9248c, 0x38b49c99,
+    0xf6047f01, 0x448ce536, 0x3e1b8440, 0x20edd1f1, 0x50a8cb5f, 0x611f295c, 0xeb940a63, 0x149429ef,
+    0x3da0f22e, 0x3e77d22d, 0xf439688d, 0x6cc65154, 0xde8f5420, 0x564a9f54, 0x7226f90f, 0x916bd1a6,
+    0xe8b4966b, 0x742733e3, 0xd8b5f85c, 0xbf846a23, 0xd5fe3fde, 0x09c27b24, 0x2a97f733, 0xc387e45e,
+    0x3ea9d1d9, 0xabe00cac, 0x7cc27987, 0x566c5c63, 0x3fe9fce9, 0x118d9cd8, 0xf43f07fb, 0xfc4e645d,
+    0x27316bb6, 0x985b59ee, 0x3b232777, 0x9568d61c, 0x0a147b91, 0x686a292b, 0x5e8a34c0, 0xf763f572,
+    0x53eb1667, 0xd98df433, 0xf25bbac5, 0x9f4342c7, 0x732c0c72, 0xc64c65ea, 0x84796d14, 0x6be81a6b,
+    0xabf4ea84, 0xd05f1b29, 0x33b6a10a, 0x3ecada70, 0x196f5b4e, 0x1ed89143, 0xec7b97c6, 0x8a4e854c,
+    0x9649482e, 0x83657feb, 0xbc18df49, 0x018d8a91, 0xac73cb1e, 0x7d3f1047, 0xc7af1652, 0x3221af21,
+    0x44a856a4, 0xd2c12050, 0xe711a5fa, 0xd3fd40e2, 0x219fa77f, 0x81476e31, 0xa406dab8, 0x2a237901,
+    0xfb312c38, 0xb13bbda8, 0x4b9793d8, 0xbaf07041, 0x5c74f2cc, 0xe1b0610c, 0x67d95305, 0xbbf69f4a,
+    0x50cb1295, 0x876622b5, 0x68b3b7df, 0xb4f95b23, 0x6e6cb0ac, 0x9ddab2e5, 0xf3b00c82, 0x0c62bc64,
+    0x1ebd35bc, 0x8bfae220, 0x2186918c, 0x3aa0bc0c, 0x615ad591, 0x56b8324c, 0x308a2cfd, 0x0b0a8aac,
+    0x00000000 }, /* 10**-00000000000000000000000003465837117651018574473017730178854629295546344219770\
+                          71896309947576827663475703202879996800763017447262173901370175446478621769728 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84,
+    0xc52b16e4, 0x9537f7d1, 0x87a62f99, 0xaf021622, 0xae0c5c1d, 0xb41549c5, 0x2f429ebc, 0xa11b7fa8,
+    0x00000000,
+    0xc7343879, 0x3007ca18, 0x6232352c, 0x972f1fc3, 0x1d0b3d5d, 0x8b4f7037, 0x76e9c694, 0xa7d7e8c9,
+    0x45c8f0c6, 0xb39aeea9, 0xd52c62ee, 0x7c2dc9f1, 0xe412e3cb, 0xfa67a46d, 0xaffda4e8, 0x509c85b2,
+    0xc9c7ff90, 0x31d90d3a, 0xe6fd6a4b, 0x0eb0bb40, 0x109d9970, 0x31cded41, 0xfcb489f0, 0x52eac9e8,
+    0xf0f98f53, 0xf40f6834, 0xfbba46d7, 0x5b0f0f47, 0x8b2a82e9, 0xaf8895ca, 0xb6c75f70, 0xdcfcdb56,
+    0x9f381acb, 0x19f5ff46, 0xa14dee00, 0x5ae7b4f6, 0x884162b3, 0xf8f886de, 0x2cf8e423, 0x02d7a919,
+    0x76991e84, 0x4c0912f4, 0xe94df2da, 0xeb608a9e, 0x830da1fe, 0x0c59b288, 0xc04fcbaa, 0xa326937e,
+    0x5a2541dd, 0x5f689c3f, 0x172a43fe, 0x2b143f71, 0xaaa379ad, 0x0801dfb8, 0x53980537, 0x7ab72801,
+    0x96285c46, 0x31a88796, 0x6f7e8a5e, 0xe31502cf, 0x8e82a5e6, 0x168d323e, 0x01cfef28, 0xed57043b,
+    0xc4f0aef7, 0xe1cbae3d, 0xed9bdaba, 0xc962ea49, 0xa1fba73b, 0xce69beaf, 0x477098ca, 0x6e405231,
+    0x80e33878, 0x0e3f574c, 0x37c3c0fc, 0x5cb5c299, 0x71b5dc32, 0x546dbd74, 0xeb25e7e2, 0x74773822,
+    0x142a1bb7, 0xff882e5c, 0xaccba69f, 0xe30c2023, 0x76239d53, 0xa6e0d94e, 0x72b15492, 0x5ecd3ea9,
+    0x9cf8a6f9, 0x29d96b79, 0x979ae910, 0x6fdd8bed, 0xc38d3b5c, 0x0b346f8d, 0x173f4732, 0x29abbea4,
+    0x6c3ab80a, 0x235466b6, 0x59896e63, 0xed1829e6, 0x9db1366d, 0xd31946bf, 0x49214d86, 0x05beb435,
+    0xe0cbdb7e, 0x6b5fc093, 0x9b64cf3f, 0x29dc971d, 0x61278876, 0x156f293e, 0xa35505cc, 0xab0cc649,
+    0xcf530d33, 0x8efdc82a, 0xf7c6a7d5, 0x8fe4166a, 0xf5ace973, 0x75beeda9, 0x22fc143a, 0xab61452c,
+    0x3eb8ee0e, 0x03c8a464, 0xe69af720, 0x454ce18a, 0x55324f82, 0x6f2a05c0, 0xd9a6a578, 0x43d23022,
+    0x1f2d811a, 0x1753bfd0, 0x2012eaa3, 0xe410a4fb, 0x8c81014c, 0x364a19db, 0xfde234d8, 0x26b47ce4,
+    0x950aa181, 0x29d2df9d, 0xf81169bf, 0x05127f5e, 0xba7ac93f, 0x09c1a39a, 0xae30ead4, 0x1dc93e9d,
+    0x8d7ddb06, 0x336008e5, 0x268d45ef, 0xf01f187e, 0x6afb11b2, 0xb4bc2ee3, 0x41ed1ec2, 0xc5899d20,
+    0x179d92ab, 0xc8fe095f, 0x3636c01d, 0xbf5c4ee5, 0x5097b6bc, 0x777bbaca, 0x91c98717, 0x559fb309,
+    0x980741eb, 0xdaa5e7e8, 0x3659b494, 0xdd2ec631, 0xd50a21c7, 0x9837d3e8, 0x0155447d, 0x054b094d,
+    0xe57e96fb, 0x70b26d26, 0x16d38ccc, 0x61ad8998, 0x80ca3358, 0xa3e4d365, 0xdac17f28, 0xb244c2a8,
+    0x098abf4a, 0x89170a8f, 0x9fcc4002, 0x9e672584, 0x8923769a, 0xb2ff8979, 0xcdf80fe1, 0xa17ecf8a,
+    0xa4c9e2f6, 0xc7e8a4a9, 0x4e91b0c5, 0x3ccb1c9e, 0x20e96a53, 0x6f4390e8, 0xd9cab68f, 0x2497bca9,
+    0xd05f4821, 0x27ba6274, 0x4f87060d, 0x931dff5d, 0xb75f6b48, 0xd1c6d025, 0x8cf897c3, 0x658937ba,
+    0xf077e2b3, 0xd8e6ec69, 0xcee31854, 0x44e0a6d0, 0x4ab695c7, 0x09332a00, 0xf3f9778f, 0x19e88ff1,
+    0x39f2b884, 0x0346dbbb, 0x221df672, 0xf215de86, 0x1f0b6249, 0xd7bfa69a, 0x375d95ff, 0xbd14d91f,
+    0x319568b5, 0x67735c2b, 0x3a25d74a, 0x4f2af129, 0x51bb3416, 0x685350ba, 0x210efaf0, 0x814494cb,
+    0x8ba32cbc, 0x7f4cf0a9, 0x6a75cca6, 0x8a180492, 0x500a68e3, 0x1e4d9b85, 0xfa7fc853, 0xa56363d2,
+    0xbd520122, 0x0f71682b, 0xffc09ab3, 0x0bdb2701, 0x4012ce3b, 0xacbac3ae, 0xabe54b02, 0xa8d7511a,
+    0xb3374df9, 0xbe84557c, 0x136540b1, 0x81682d63, 0x11dfb046, 0xb92f24d0, 0x2228802d, 0xb5a616a2,
+    0xcb45ab62, 0x1f3f1708, 0x1dc19789, 0x2e9d01f0, 0x58bdd097, 0x88c3dd0f, 0xab08f437, 0x0a16796f,
+    0xaa9755e8, 0x3a5a90c6, 0x3bfb04ba, 0xb439dde8, 0xb3c94031, 0xf4b9c6db, 0x4405dd32, 0xf6bb3153,
+    0xae2ff0c8, 0xb0d03755, 0x654720c5, 0xca3a08df, 0x537479c8, 0x1b0e7c9d, 0xbfb0ed48, 0xecc88da5,
+    0x9dd02899, 0x6fc0a8fa, 0x6d76140f, 0x24f72fd1, 0x9c7c5ce1, 0xf0186c81, 0x47c8efc2, 0x40bdcec6,
+    0x2b3d7314, 0x83e5c8af, 0x76f6d72d, 0x7dfc7fad, 0xe6048663, 0xdb6402a6, 0x91935ff1, 0x7c22b17b,
+    0x860fddb9, 0xce2cdc65, 0x14c40326, 0x0bf75bd4, 0x6ab50c8b, 0x63221627, 0x8feac2d3, 0x4bbdf197,
+    0xf16779b1, 0x47481e46, 0xfc9e46c7, 0xa5396dbc, 0x446f2b3c, 0xda6c5a70, 0x180aa60b, 0x52a33e03,
+    0xe5c49ddd, 0x0f6270a3, 0x68451c6a, 0x15844f47, 0x3313972a, 0x5e146624, 0xafbf4032, 0x270d3cd9,
+    0x6b0c45ab, 0x39062eda, 0x0e693301, 0xe5fd37e6, 0x63cf7a19, 0x6ae3d9ca, 0xe9267b40, 0x485fe759,
+    0xeefb7848, 0xa9baf32a, 0x0c38a48e, 0xd4595d89, 0x3db8ff8e, 0x05248633, 0x2c106eeb, 0x68d1339d,
+    0xdc5e5356, 0x782e5b3f, 0xe805ce45, 0xa4a9e373, 0x2cefef27, 0x53446e0c, 0xc7afadc9, 0x1c9d6a98,
+    0x355fcf58, 0xc88ebdef, 0x6924d2a5, 0xcde7cab5, 0x0ae73671, 0x38a0d4ca, 0xc07181ef, 0xcad2427c,
+    0xb96a3410, 0xa94ae575, 0x33d42115, 0x1583f112, 0x595b78cb, 0x26f9986b, 0x33c9f684, 0x173c1825,
+    0x5a78c8ad, 0xfe53937d, 0x37037f0d, 0xb0775f4d, 0x20a022df, 0xb9aab89e, 0xfe8b2b1c, 0xf8f6c935,
+    0x92d03005, 0x1c8dd758, 0x45879bba, 0x528acadf, 0x8bd416ce, 0x26b6904a, 0x4214d40f, 0x43eb4f42,
+    0xdf836b36, 0x335c9669, 0x1de19cc2, 0xc56aab6a, 0x4c1fb2dc, 0xf1887673, 0x8dac5f80, 0xb0804962,
+    0x3a5f3a49, 0x917e8398, 0xb7865d2b, 0xae8745de, 0x9bc29323, 0x73183c5f, 0x93decb77, 0x9bc97435,
+    0xfd5af622, 0x702f9af0, 0xdb5f755f, 0xa1cbbbf7, 0x77bc49bc, 0xc3dc4987, 0xcf82a483, 0xafa7aa6c,
+    0x1eb99397, 0x7b2e18ea, 0x62e9d8b3, 0xe8d2b7cc, 0xe832b526, 0xc19823a7, 0xf7d779f2, 0x42a43f66,
+    0x87473587, 0x32de06fc, 0x8b6afa1a, 0x2412b266, 0x99b310a1, 0xb2d51b41, 0xe7aebf8a, 0xe989d0fe,
+    0x84969043, 0x2248c0e8, 0x717d9c0a, 0xe49aed68, 0x36f2688f, 0xc33eacc5, 0x6d50a4ed, 0x16324d5f,
+    0xaa72b003, 0x7ed3f8e7, 0x14bc90a4, 0x90289e77, 0x5dc85b7f, 0x3370dba0, 0x9109304e, 0xbde21f85,
+    0x52e96c06, 0x956a2bab, 0xaf79f035, 0x9291fdaa, 0x4482f624, 0x8f5c1540, 0x93b4a0dc, 0x3d2a5d68,
+    0x9970ba04, 0x67f6fcae, 0x173c972f, 0xffd6900d, 0x6a0aa182, 0x8eb7ff93, 0xba56d902, 0x023298bf,
+    0x3b46a8d3, 0x95840e29, 0x1a61a1de, 0x6802d33b, 0x87ab51f9, 0xebd65095, 0xd5c258cd, 0x36365d25,
+    0xaaa34236, 0x68cdbbbd, 0x2bb907ab, 0x69312c0e, 0x6a86d1b7, 0xa16ac83d, 0x3501c308, 0xa19050d3,
+    0x081a7867, 0xd342705c, 0x2f83523f, 0x31b5d79d, 0x8fda6bd4, 0xb3cfc20c, 0x9c100da0, 0x2892e71f,
+    0x0897b6f5, 0x4bb275e1, 0x942bac8c, 0x6d77f597, 0x83bc7919, 0xf2cd3c24, 0x912ab88a, 0xf7826a74,
+    0x435bd73a, 0x6abd2a0d, 0x43c2f03e, 0x80de8050, 0x55d2655e, 0xd159772f, 0x12d48cd5, 0xd63ad13d,
+    0xe76a32e7, 0x0c068d2b, 0x90869b1d, 0xac23548b, 0x5f6f4cb8, 0x075ddded, 0xb553a670, 0x5ce9b763,
+    0xbf73e68b, 0x06b7844b, 0x940871d7, 0x6e4aa786, 0x2759120a, 0x4baee8b4, 0x4376e627, 0x34de03c2,
+    0x1b74942f, 0x85e23202, 0x281e7f92, 0x51c331e3, 0xe72eac09, 0xa7fd8abd, 0x1338043d, 0x2919d9b5,
+    0x7ead63d6, 0xe30b949c, 0x06de00f8, 0xca6e0ecb, 0x19ea09ce, 0xf4d3f57f, 0x5070f56f, 0x07a182f3,
+    0xe3b66e44, 0xadab302a, 0xf1fc7f52, 0xb201cb43, 0xff409a4a, 0x714b3471, 0x6f854d05, 0x15b15a14,
+    0x5c2a5327, 0xe5722c98, 0x217385c0, 0x4b4e4cf6, 0xbee2ab48, 0xfccd2680, 0x77a64983, 0xfd552af8,
+    0x485822be, 0x686778f5, 0x3daa40c2, 0xe453118d, 0xefcafd6c, 0x4f2c28e5, 0x8b867450, 0xe579921c,
+    0x9676797a, 0x170e55f9, 0xf76a4ba7, 0xa6d8a9cd, 0xa4f7cc75, 0x37d63982, 0xd8462fcb, 0xecb36750,
+    0x4796cd80, 0x6d52b8b7, 0x6a1828cf, 0x3dabd7cf, 0xfccc2183, 0x02b280ab, 0x9b8a22bf, 0x96919e63,
+    0xb5b121fe, 0x5a776a2c, 0xe359181e, 0xc83fc335, 0xe665d2ae, 0xa786b844, 0xc8ce84a8, 0x28b59693,
+    0x25f319b4, 0x66f1b0a3, 0x36c4dd49, 0x90f5a42c, 0x7a198b21, 0x4f509e69, 0xabca275c, 0xf4c20615,
+    0xea4cda5e, 0x23a64524, 0xefb0fbaf, 0xe480f2fb, 0x4c4cf21f, 0x96a775da, 0x38c55687, 0x5f29e06c,
+    0xb42acf46, 0x4bfec6b4, 0xcd469bca, 0x6cbd1b31, 0x3e686dd4, 0x301fc664, 0x30dfcc47, 0xab7db63a,
+    0x44891ce0, 0xa7ce2650, 0xc55c0b03, 0xd7c902ae, 0xd65090f6, 0x031fe453, 0x79c4a18c, 0xe7c3d67e,
+    0x6bb4af49, 0xa0e3c5ec, 0xb779c851, 0x6762be64, 0x8ae656fe, 0x62ace9b0, 0xbb25c940, 0x6be6c900,
+    0xeb07ab7d, 0xd9db5ba7, 0x02e278eb, 0xa1ce39ee, 0xc1fb004b, 0x4255c8eb, 0xf43c869a, 0x880adf2b,
+    0xbd3eeced, 0x9ed591f3, 0x2d036863, 0x56d0cb34, 0x00e048d0, 0x9420a8dc, 0x1bad683e, 0x9c713638,
+    0xaff52c10, 0xd0407488, 0xf5a78718, 0x332bbe40, 0xade7f020, 0xb68625a8, 0x750d8b86, 0xa02458a1,
+    0x7cde117f, 0xfbf54bf6, 0xf835c844, 0xc118310c, 0xbab2e03e, 0x5394bd5c, 0x95c2d82b, 0xa0ce5850,
+    0x09a2eb6c, 0xcca4a596, 0x0974c8ae, 0xd7a39057, 0xc4a2faeb, 0xd45f9d6d, 0xdd873c88, 0xde8e0d74,
+    0x6747ee8b, 0x20ea3764, 0x4d65e07b, 0x5c12ba91, 0x98db909a, 0x79fc57d6, 0x04b06fbb, 0xb45617a0,
+    0xed58192a, 0x38018629, 0x9308c9f4, 0xf116ac92, 0xab1e6fe0, 0x2f412d5b, 0xac221a49, 0x5f4d38e0,
+    0xeeb3f4af, 0x0547bcd1, 0x47e4bc17, 0x9a364863, 0xca4718fd, 0xf479605e, 0x3a5e9362, 0xd28856b1,
+    0xca053125, 0xb07cd35c, 0xd2e06ac2, 0x9ed64b4d, 0xb403056e, 0xfa18a4e1, 0xa4ab41ec, 0xabd5f887,
+    0xc4e66cad, 0xec356003, 0xdd2757c8, 0x08a6e934, 0x2d92e166, 0x87d0ec07, 0x0595cca4, 0x784b3515,
+    0xfdaa2de2, 0x8e2740e8, 0x558912d0, 0xc6cb9bf4, 0x8ed0bb2d, 0x667ca867, 0xb40455bc, 0x9d3e6149,
+    0x4a828347, 0x7787425b, 0x46476e2f, 0x5f857f24, 0x5ec104bc, 0x90e95ede, 0xcf675058, 0x90280942,
+    0x77e2bb22, 0x018d9864, 0x4aa06b16, 0x5078adca, 0x8ea16173, 0x74e2ed0b, 0xbd70bd99, 0x13f60826,
+    0x22d34804, 0x06fe280f, 0x024b1d3e, 0x3461658a, 0x6a68776e, 0x391e6995, 0xc294b010, 0xf6cecaa1,
+    0x6824053d, 0x947df16e, 0x6939757b, 0x2025915f, 0x3c6ae58c, 0x499dde28, 0x1cd7b889, 0xb7b7026b,
+    0x114a8cc4, 0x700da64c, 0xdba0ccdf, 0x410b5266, 0x31e10878, 0xec823a7f, 0x0333d8cc, 0x42309106,
+    0x6be52fe9, 0xc9143c2f, 0x158908a0, 0x45a015f8, 0x0c154df0, 0x20ee4cab, 0xcc2c4019, 0x94204668,
+    0x34b0a512, 0xb2f6f0af, 0x6a3c60bd, 0xb5fefc8e, 0x79838931, 0xa9a01a59, 0x752f1041, 0x48830782,
+    0xf3d6502a, 0x0619c52e, 0x4f243182, 0x40fa7d45, 0xbb373fd9, 0x68343021, 0x7568be79, 0x103bb5ce,
+    0xf910c59c, 0x5ff47999, 0xb6edbb90, 0xc3467e2f, 0xac6c597f, 0x6106981f, 0x8af73891, 0x84940690,
+    0xd44c47b8, 0x1deecd1d, 0x402c60d5, 0xd3b6a49a, 0xb5fb13b1, 0xe3df3060, 0x52b681c7, 0x09541aa2,
+    0xed7f23db, 0x927ebc6f, 0x33e61f3d, 0xd5380e30, 0x76b5a0ad, 0x8cb2a6ba, 0x3498d1f7, 0x1be15e9f,
+    0xeda0ba4b, 0xd257d67b, 0xcf2723bc, 0xaac2b6e6, 0x37c154b7, 0x615d4cc3, 0x350dd32e, 0x9e5988d6,
+    0x92bf20f9, 0x972e315f, 0x559245e8, 0x3c1005ac, 0x71cd7d35, 0x60c4ceb3, 0x0605c7e7, 0xf318a4ee,
+    0x4659bc89, 0xb1bcb9a2, 0xb365c6ac, 0x8108db91, 0xf7c026ba, 0x0bd43074, 0x3dec9129, 0x5914fcd2,
+    0xf0ae512f, 0x7c0b24bd, 0xa2671967, 0x23db1931, 0x78c37304, 0x936d726c, 0x8f0cb337, 0xc6021611,
+    0xc00a5d7f, 0x9e99bc00, 0x4a09cdad, 0xbaa1f0fd, 0xfd4951ee, 0xfec70bf2, 0x91803784, 0xb3e50adb,
+    0x4efa6398, 0x3daad3ef, 0x67c441e6, 0x49cc87de, 0xbee8918e, 0xdba340d6, 0xceb25123, 0x1b986ee3,
+    0x4209fc31, 0xf6bc24a8, 0x590457a0, 0xf3f05deb, 0x3f0a33a8, 0x541aeed3, 0x0f1bb0c4, 0x53ca8666,
+    0x96f3d068, 0xed104a2b, 0xc52391bf, 0x38ec95d6, 0xc1aa39ef, 0xd87f7457, 0xc3f5c3d1, 0xec1509e1,
+    0x55f65f99, 0xdede0768, 0x017ae1ef, 0x366cf798, 0x8f6c9168, 0x89c8b494, 0xc61d8135, 0xf1b349f4,
+    0xc3766087, 0x2b95f92d, 0x1554f0e1, 0x18661633, 0xddfc2e12, 0x247d3183, 0x6eee89da, 0xe483d1fc,
+    0x5735add5, 0x4a4faf4a, 0x5ffbcce9, 0x7048eb3d, 0x2705659a, 0x5f59452d, 0xa349b559, 0x07ab19c1,
+    0x0fb1978d, 0x49c33643, 0x7a1950c0, 0x1ac0339d, 0x3aae898a, 0xf0d066b0, 0x0959faee, 0xc2edd79e,
+    0xa6488d4f, 0x8e182377, 0xf4264bfa, 0xc3791ee4, 0x482bc491, 0x1f580e9d, 0x571cbb61, 0x6e9d9a68,
+    0xdb0b3b3e, 0x8ba835e5, 0x461a627a, 0xc5fd4711, 0x4f7dfbc0, 0x78e3ef97, 0x76a1bda6, 0xff58ad09,
+    0x4e4ab8b0, 0xea591082, 0xd62c4fc0, 0x4be81e48, 0x18071e41, 0xb0589766, 0xdfa6343a, 0x22b96a55,
+    0xc7b5daf0, 0x5a37074c, 0xe2c5210c, 0x6ffbd897, 0xd1d1b9f9, 0x8f7cce20, 0xcabadc34, 0x66e4b133,
+    0xba3a4533, 0x840f7780, 0x63b74e9c, 0xa6b39908, 0x20a29d4c, 0x588e1e77, 0x20d2c1b0, 0x3bde8a2d,
+    0xa6676bbd, 0xab1983be, 0x4b4d9d63, 0x20520a7b, 0x8626cc56, 0xb61363d8, 0x85688b9f, 0x73c588b6,
+    0x8e1beef8, 0xbef2285a, 0xa8bf0130, 0xa3b52dd6, 0x92a178ff, 0x1469c179, 0x65a211fc, 0x9c4b9478,
+    0x399ab5b8, 0x768a2f26, 0x03bcda5a, 0xe8a283ed, 0x944f7a8a, 0x3c46d53a, 0xe7c603f0, 0xd31517ae,
+    0x8d593c93, 0x62d3a54e, 0x103cc0bd, 0x5f5699dc, 0xd3c17837, 0x7096d6a0, 0xeb379957, 0x2d6c476e,
+    0xfb5cee02, 0x89937c65, 0xa8aa8328, 0xfc266ddc, 0x9a7926b0, 0x5758697e, 0xc7223cd5, 0xcdf22f21,
+    0x9893171b, 0x4c989a7a, 0xecd527d8, 0xe306f5f7, 0x5dcc92fd, 0x43d4377c, 0x614c240a, 0x34595118,
+    0xd2eb719c, 0xb7efff71, 0x86097b55, 0xa8a22d42, 0x89e9a258, 0x42497eab, 0x4eece9bd, 0x0206463c,
+    0x165e9837, 0xdd8b3622, 0x34ce6b49, 0x6d63968b, 0x5c7b75a8, 0xbdc7f744, 0xea81908b, 0xb19f24f3,
+    0xa16b1654, 0x6694bf17, 0xe611677b, 0x463f0a82, 0x284b141b, 0x8ac7cfe1, 0x5e0a9a55, 0xae33c017,
+    0xa12ae51b, 0x5687e1e5, 0x2f0fc981, 0x4ce2067a, 0xbb1d4144, 0x67eea9c4, 0x2e3991d2, 0xd1afdd4c,
+    0xd68db0e8, 0xa336b913, 0x916c08e0, 0x5ee40794, 0x05a9fe21, 0x27122eba, 0xcfa1c2dc, 0x92e6c8da,
+    0xa58b9906, 0x245518f4, 0x30f31967, 0xa3ed0b56, 0xd6c0c32d, 0xb47254be, 0xcc85238d, 0xaa28a26d,
+    0x00000000 }, /* 10**-00000000000000000000000001732918558825509287236508865089427314647773172109885\
+                          35948154973788413831737851601439998400381508723631086950685087723239310884864 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42,
+    0x62958b72, 0x4a9bfbe8, 0xc3d317cc, 0xd7810b11, 0x57062e0e, 0xda0aa4e2, 0x97a14f5e, 0x508dbfd3,
+    0x00000000,
+    0xe1d2cc2c, 0x22944d68, 0x2da8eaf1, 0xc17427ee, 0x91e17033, 0xe5c8d962, 0xc59ba84a, 0xa2c8e714,
+    0x1c2d28f6, 0x3e9a0055, 0x875c8edd, 0x906c92d3, 0xc670daad, 0x24013e29, 0xd7ca7579, 0x17c7f816,
+    0xdaa7f4d7, 0x461ebbf1, 0xb02e924d, 0xe5af2a4b, 0xa4c9305a, 0xba31ce0d, 0x29d42209, 0x11440227,
+    0x02259e80, 0xe7179813, 0x1b77d8e6, 0xd0f36bf3, 0x2922331a, 0x7fca67d4, 0x55633346, 0xf54bb7d0,
+    0xd63b627c, 0xe5c51bd5, 0x470b2676, 0xef10a8ee, 0xad81b88d, 0x3ff05314, 0x15b4052a, 0x6616cd61,
+    0xb6928bb9, 0x30c9104e, 0xf4ec819c, 0xcd0a9412, 0xba5668e8, 0x3af38500, 0xc2409667, 0xebaa2564,
+    0xc7c05d15, 0x8858ee38, 0x3f334fdf, 0x4d622892, 0xf85d39f6, 0xa2a31593, 0xdeef94ea, 0xa67047c5,
+    0x8ad204fd, 0xb46d7b52, 0xca2458b2, 0x01e81a50, 0x0582372b, 0x2233be80, 0x63d13c35, 0x664f18b9,
+    0xf4c15f3d, 0x74290ff1, 0x073cbce3, 0x3490fc2c, 0xd13b05b0, 0xa48998ed, 0xa659e611, 0xaa24e091,
+    0xb887613a, 0xb497e29a, 0x37aae32f, 0x3d6a175d, 0xdb02c877, 0x80f6ccb3, 0x85540c2d, 0x2efd3218,
+    0xe52f08d3, 0x52f6e040, 0x47b30e4f, 0x4f5b5aeb, 0xf24c729c, 0x86d71dba, 0x34fffae6, 0x64f3d803,
+    0xa6f71e05, 0x23d0d0e8, 0x00c210ed, 0xa9763464, 0xf1b5abb0, 0x1cb0482c, 0x141006c4, 0x0170cf8a,
+    0x691d0084, 0x2b619c75, 0xd6d875da, 0xd125733e, 0x698bed38, 0xf96919cf, 0x014c9759, 0x766f37e3,
+    0xaaebbbfd, 0xa8d034df, 0xa91a3a9d, 0x14f6f600, 0x14e42ffb, 0x2bfef719, 0x1d235504, 0xee217d59,
+    0xf1b89877, 0xe5f57a6e, 0x2c068085, 0x1ca2062f, 0x4f8b478c, 0xdc00c533, 0x83d00415, 0x36fd7dfa,
+    0x00237614, 0xb8fa3c89, 0x9e4f279e, 0x53b1bdc0, 0xaa532719, 0xe75bd550, 0x0b0faf11, 0xef4b9087,
+    0xc156ab36, 0x2b8523fb, 0x88344c03, 0xb9ab9cf0, 0x0ea61330, 0x7b9d4596, 0xcb319a8b, 0x1519f2a2,
+    0x6862c490, 0x1b699f68, 0xd54c775e, 0x0759306c, 0xe3cd153f, 0xde6d58ae, 0x84713b77, 0xcaf8ef1b,
+    0xec2e039f, 0xec967aeb, 0x90d84c81, 0xed61948c, 0x3c735792, 0xf5d1b299, 0xe221b1fe, 0x78d135fc,
+    0x3f91f0aa, 0x2be9d27b, 0x46358fb4, 0x9fc9e4e1, 0x67f09c4e, 0x534fac2b, 0x9843ddd2, 0xd67ba4b5,
+    0x85fa20ea, 0xf6bf64ef, 0xde810f3d, 0x8b3e466b, 0x1281d5af, 0x5e3bd5e6, 0x12c5570f, 0x1762e535,
+    0xe27f75e9, 0xc527b34f, 0x838b3ddb, 0x2fbd5cd2, 0xf976f2df, 0x01999b45, 0xb6884a15, 0x84bbf187,
+    0x11dbd543, 0xe207d56a, 0x3f7f47b7, 0x94531629, 0xd34c49d6, 0x275bee51, 0x47443617, 0xe177c4f0,
+    0x3569a006, 0x3d65cbf9, 0xc8b7aa2b, 0x0cf5bc3d, 0x5ec30652, 0x140da8a9, 0xf6d9a1f8, 0x661a31cc,
+    0x9c61d4c3, 0x18bba25d, 0x0c369d0d, 0x95c404e1, 0x78f98e91, 0x7b27c5fe, 0xa78ab573, 0x80f743ff,
+    0xe4fabd3e, 0x0c26949d, 0x3ce79923, 0x39033cb9, 0xe894a79c, 0x844e0359, 0x8c3852c3, 0x90812959,
+    0x48aa24e9, 0x05df2224, 0x8e9581a6, 0x819a680c, 0xdb233476, 0x3063d1d6, 0x45cd69dc, 0xcf2d80f1,
+    0x9627fb17, 0x45022234, 0x7797d82a, 0xb0c0e1bb, 0x34c65de0, 0xf578309a, 0x4bb299a1, 0x510ed289,
+    0x19c9a025, 0x4d3ba5cb, 0x3d3af921, 0x7d654951, 0x9433c3fb, 0x704e1053, 0xdf7b2ee4, 0x766e4ac2,
+    0xf2df7c5f, 0xa066bb2e, 0x45cea911, 0xd629af08, 0x5c7939dd, 0x09f71200, 0xe0f50b8b, 0x87b115b9,
+    0x6f00b497, 0xc8f33d2b, 0x18d542c1, 0xe6bd6744, 0x11aeba69, 0x4711a78b, 0xea928d6f, 0xa70b2470,
+    0x7ef5ec8d, 0x87c91a2f, 0x4fb2cc9f, 0x33bd5812, 0xc6e18d6f, 0x4790df8e, 0x6ba722db, 0x993bc1b8,
+    0x7842b97f, 0x81dd8fd7, 0xa547dd04, 0x56310de3, 0x595f258f, 0xb1baee44, 0x0856c9c4, 0x909f4bc9,
+    0x67001f72, 0x80e0eff2, 0xf95d1431, 0xa13db7c4, 0x45898d1a, 0xb62b1365, 0x25495a19, 0x2124b6a8,
+    0x527c77db, 0xbe2c2d94, 0xe4161ba7, 0x029fb048, 0x04a1c1a9, 0xf57a2f20, 0xdbc83a35, 0x036b5598,
+    0xc6843d71, 0xdbbd21a3, 0xb43dd198, 0x93efcb9f, 0x6db5d787, 0xafae609b, 0x50610a68, 0x7dbc3275,
+    0xa2f3689d, 0x46e015ad, 0x75f02222, 0xd7c12cbb, 0x97ac01c4, 0xe6348014, 0xfea5b1ec, 0x46570168,
+    0x99b81e17, 0x4d926e7f, 0x14d0a1b0, 0xa750e940, 0xc128f029, 0xdcb3bee2, 0x4ff3020c, 0xfa021d49,
+    0x77f9ef60, 0xc6cd35c9, 0x5792bacb, 0x0bacc89f, 0x0445ecaf, 0xecf27401, 0x6355319f, 0x5a3d600e,
+    0x485ff29a, 0xdb4ce73d, 0x06a95bde, 0x7c34107f, 0xf6af914e, 0xdb9c5759, 0x32897515, 0x24911eb9,
+    0xab247523, 0x0d1a03f6, 0xd39c8ff1, 0xa57defbb, 0xc66f77db, 0x7ca5bc91, 0x3b39c40a, 0x6ffbec7b,
+    0x4a3ad5a1, 0x5425685e, 0x7762e361, 0x025c432c, 0x04c5e5c6, 0xeb74254d, 0xe817d5b9, 0x7c95ca0c,
+    0xebd2de74, 0xdc056d2b, 0x44082414, 0xce8b0663, 0xa74b65a8, 0xdee3e38d, 0xe6446e66, 0x808f9e67,
+    0x790acec9, 0xa689692e, 0x663868ef, 0xe8de1c5c, 0x5ec69269, 0xafef042d, 0xa219ab2a, 0x321c6e6d,
+    0x29b98187, 0xd7eb6218, 0x2c5a1feb, 0x9692d166, 0x2c7a9eec, 0xdd4ddc44, 0x40acc684, 0xf943fe94,
+    0x358d2f70, 0xac319c01, 0x1feb649f, 0x0c92d9ab, 0x4cc37a4b, 0x7b4c4e33, 0x575b51d6, 0x95b8d3e5,
+    0x90741051, 0x2cd20889, 0x81de167f, 0x184f832f, 0x95218280, 0x85f0cf31, 0x46011047, 0x02a736e9,
+    0x8b973f61, 0x2b4eb77c, 0xd01151de, 0x65140cac, 0x278e3294, 0x1c0f9b09, 0xc6d69786, 0x790f744c,
+    0x7c7d34ed, 0x7b6efb9e, 0xdf0acbb0, 0xf44c6c91, 0xd48c1e74, 0xbb7f0902, 0x51aebfdb, 0x57aaf237,
+    0x37cabe81, 0xe2c0169b, 0x8fac7dbf, 0x8d38826b, 0xa65045be, 0xb4d5f8bb, 0xc77ec3cd, 0x798dde45,
+    0x4fb11281, 0xdf0e029e, 0xb88a5663, 0x26710144, 0x8a5ef94e, 0x02789530, 0xf65fbb65, 0x60ea1639,
+    0xba607efa, 0x47ac1287, 0x278d80a8, 0x12e6dfcb, 0x84b01692, 0xa5e83ed7, 0x4f2d8e91, 0x9587dcb5,
+    0x5b231e05, 0x77c590fe, 0x54eff350, 0x3cd65516, 0x122e84fd, 0xc501b817, 0xae051e90, 0x32fd000d,
+    0xbed2a220, 0x65318ae7, 0x22b86090, 0x9f3426d1, 0x83482155, 0x9a5d8876, 0x652c5182, 0x38f2db78,
+    0xfe2e0acd, 0xe6bb5763, 0xc9ae9e11, 0xf08b9e04, 0xb12bda02, 0xd7bb97d8, 0xa4e50df0, 0xbf4f35e0,
+    0x177610e1, 0xe4511b53, 0xca2f638c, 0x3801c6d8, 0xe0bc11a2, 0xdba60da6, 0xc5e6559c, 0x6b579008,
+    0xebe117e8, 0x33631ed2, 0x99b1da60, 0x6752fec2, 0xb3bca7a1, 0x393fb115, 0x1955b688, 0xb06bb6b2,
+    0xfbfc0055, 0xd3aba9eb, 0x8d8930e2, 0x6614ef2f, 0x2411834e, 0x65d0e524, 0xdcc8d7d3, 0x0f97d8d3,
+    0x14dbefd9, 0x48ad11db, 0x8fd10ed2, 0x2d596912, 0xd17c77ab, 0xfc29af75, 0xbb41c1c9, 0xff490323,
+    0xda1ff031, 0x2da92bfb, 0xf633e60e, 0x3740b8f2, 0xb7472ecd, 0xb846e434, 0x56f8007a, 0x144874fc,
+    0x8b83a096, 0xaf121dc4, 0x744726be, 0xaedc0571, 0xe133807f, 0xcc3c9bc2, 0x80dcf653, 0x95bbe739,
+    0xa29a3b32, 0x62dfb01e, 0x6df17faf, 0xa9944be1, 0x706d6300, 0x094e8be9, 0xb49ed7f6, 0x47ff5716,
+    0xe6ddfba2, 0xafccfc49, 0x7d6ac2c0, 0x99bd67d0, 0x5734ed73, 0x46ea3c41, 0x3b21f9e5, 0x8a4473a1,
+    0xc9b0d82e, 0x9936992b, 0xeeddd0ab, 0x8ef6985c, 0xe89bc4c2, 0x5c46b192, 0xa525433d, 0x440066e2,
+    0xb8c78c23, 0x04fa4029, 0x868da5ff, 0x730ec3f8, 0xaa3e77b5, 0x99ce66af, 0xbc13270f, 0x6bc8f06b,
+    0xdf199345, 0x373fc82f, 0x77d91755, 0x2bf2c9d4, 0xcf9eaf69, 0x6190c52c, 0xa6b93908, 0x41ffb7be,
+    0x1725dfc1, 0xc16a98b3, 0x028244ec, 0xc2c966b2, 0x5faf72ed, 0x144991cf, 0xbeb9c9e7, 0x103c6e25,
+    0x73de07bf, 0x3f15a890, 0xcb577c54, 0xd4831b57, 0x6766ac15, 0x52f59a2d, 0x70d37899, 0xdd5a4541,
+    0xbe32cb54, 0xf8a100f5, 0xa618699e, 0x91323d8a, 0xa30bf3b0, 0xad381e65, 0x395375a8, 0x9b59e9a0,
+    0xcc827343, 0x1ba08cb2, 0x96032452, 0x21998e8b, 0xf8bc882e, 0x302df36c, 0xa675a226, 0xf5c935d3,
+    0xac32cddf, 0x38c83674, 0x8a01b11e, 0x33da1ea7, 0x969c5a68, 0x71cf6b29, 0x7e43f8dd, 0xa4a1e533,
+    0x4d7c3d72, 0x5bf8880b, 0xcdcca435, 0x3fc94e92, 0x1e1f591a, 0x37f4d05f, 0x16686939, 0x71d2bdd8,
+    0x2f747ad1, 0xbe370108, 0x5ebd0ed8, 0x3dd86a64, 0x5824632e, 0xf943cfd4, 0x3a743988, 0xe8dcfe59,
+    0x94ad70ec, 0xb3347b89, 0xf0180990, 0xb2c82288, 0x667d05c3, 0x35cdea93, 0xf7f141da, 0x6e4b0631,
+    0xcb16d3a5, 0xc4b84fca, 0xd4233021, 0xa189d383, 0x2d3b72be, 0x658b0d66, 0x0521da18, 0xd43299ff,
+    0x3bfb09cd, 0x286f6525, 0xeffd1b52, 0x66c61ac0, 0xff8cffb3, 0x2eeb9a64, 0x7db1b16a, 0x929e2a20,
+    0x69a22d7a, 0x40431762, 0x05e33263, 0x3b0d3e57, 0x7d5514a3, 0xf77df266, 0x3579963b, 0x14bd94f5,
+    0xf848f9cf, 0x8a70ae54, 0xa55b74f9, 0x6e43029e, 0xf08e8c28, 0x0b648980, 0xc0e93d89, 0xeb9e4231,
+    0x1ec2d340, 0x70b6ac99, 0x3508e3a2, 0x85b8c961, 0x5f9975a2, 0xb1320440, 0x271f3917, 0x481e53b6,
+    0x81966fa4, 0xda500c51, 0x8b63789e, 0xbe75964e, 0xb9f88f68, 0xd49ee255, 0x3967970f, 0xc692034f,
+    0x01a71aae, 0x81a4fce9, 0x4bd89561, 0x97e52e4c, 0xedbf7c9e, 0x1948a1e1, 0xc18c9400, 0xe78a9f94,
+    0x6f219e79, 0x8cba5c8e, 0x40b790d5, 0xeeda096b, 0x2570ce34, 0xa2920404, 0xb262d20f, 0xd6dfab9b,
+    0x2f5e4bab, 0x9a0a30ad, 0x2ccbf1b3, 0x6c71d637, 0x196da130, 0x44a35ea8, 0xa00c3fab, 0x08ea3ae3,
+    0x3d8feb73, 0x2cce1ff1, 0xb367ab7b, 0x545d08bc, 0x8e6ebf03, 0xa6a6120e, 0xfa60880d, 0x0bf95f71,
+    0xea6d1444, 0x9140c2d8, 0xa7a7ddb1, 0x94206abe, 0x8f8db91e, 0xa162fd9a, 0x93001853, 0xebc91680,
+    0xe02bba9d, 0x835953de, 0x636bd372, 0x9fd29216, 0x9d5a2554, 0x53027421, 0x210f4044, 0xe0f47a68,
+    0x5167f9e6, 0x8be16295, 0x2ca83181, 0xbf5c9325, 0x76867ee8, 0xccbf846b, 0x95ac3b0b, 0x83f48adc,
+    0xcf03adb4, 0x8cdb52ed, 0xd14ae3d0, 0x2e69c3d1, 0x5ba0a815, 0xe05d2230, 0x2ed81f92, 0x84a01ebe,
+    0x2bccbbf6, 0x5eadd0e5, 0xa7b2aed5, 0x75c6b644, 0x5c2653b3, 0xe662c5bc, 0x9a6df23d, 0xbe605c3d,
+    0x7d78c70e, 0x4bc753ee, 0x94fd25ef, 0x2673ee83, 0xaffac34d, 0x3ad2b676, 0x8204b8e5, 0x4591fd30,
+    0xeb50f1db, 0xb18b6ab4, 0x9c84828d, 0xd4da5aca, 0x94ae2ba4, 0xc24f7819, 0xcd0c85ad, 0xc3cb8f42,
+    0x7260ba9b, 0x296c11ae, 0xe3611723, 0x096805eb, 0x8de005ca, 0x68b72d29, 0xf886ec54, 0xa38e437a,
+    0x891c0211, 0x02b8fadf, 0x4a58d6f3, 0x27ff5df1, 0xbacfa71b, 0x0a7c9a05, 0xe4ec9a1f, 0x3ce4333c,
+    0x7547412b, 0xf0d5bce5, 0x672ea185, 0xabb86234, 0xbbb1184b, 0x118efad2, 0xd164f238, 0x68306522,
+    0x32eeb020, 0x8c2f45ea, 0x35f52fa9, 0xbaada992, 0x45a20cb1, 0x8d53d99a, 0xa6751f71, 0x39a79e19,
+    0x55ca8e81, 0x5d5c05eb, 0x682d434b, 0x04d5d54f, 0x56aa7fe4, 0xf41a9920, 0x30c776a5, 0xc1a091d9,
+    0xf47490fb, 0x838c3f85, 0x1f10c9ab, 0xa39d98d8, 0xb66093d1, 0x9ac2f2d7, 0x4d95c7d8, 0x4c076904,
+    0x84ae61bb, 0x13db6ee0, 0x3189189e, 0x412a84be, 0xc16f534a, 0x62974940, 0x101c4866, 0x42499e51,
+    0x2ca8dbeb, 0x5f3408fc, 0x69851418, 0xdfd366a2, 0x08614d66, 0x3129362c, 0x123a55dd, 0xe2caf62f,
+    0x11e13589, 0xf0dc14aa, 0xc12a5417, 0x08d5274f, 0x5ac69139, 0x4fbd6dae, 0x815fc932, 0x20103d1d,
+    0x48aeb563, 0x5421e437, 0x2032057b, 0xd46a78fb, 0xabdc6a93, 0x2c798c14, 0x928c5503, 0x0a48ebf2,
+    0x7552413a, 0x73f7b404, 0x836dda97, 0x86956c11, 0xbfa43f43, 0xcfa5fe7a, 0xebf93d3e, 0xfda11c68,
+    0xdd099e1b, 0xd211c828, 0x11cddd64, 0x0cf1e131, 0x679001d6, 0x6849aaa4, 0xdd7a90fb, 0x106c3de1,
+    0x7866608e, 0x929f8ac5, 0x7747d934, 0x5bc3f4da, 0x0a03f196, 0x43c6061c, 0x6f26b6d4, 0xc7b0112d,
+    0xde5ebab1, 0x3180035c, 0x254ea622, 0x1578cc0f, 0xd3afd357, 0xd7554c65, 0xcbdb1cea, 0x426980fc,
+    0x6b5ea013, 0x00703531, 0x09218ab8, 0x38c7a485, 0x41af194e, 0xc57a8b45, 0x61b8b972, 0x39204898,
+    0x2f7912da, 0x007b6511, 0x204bae2e, 0x598209b0, 0x24ca50fa, 0xee8fa6d0, 0x6ef0867d, 0xd7a04001,
+    0x2aa22ba7, 0xfb273367, 0x7053d7c1, 0x44d0ed06, 0xd2ed89b8, 0x13f10e5f, 0xcf93c1d9, 0xd2f84661,
+    0xd4f7ef2f, 0x3fcaf928, 0xb03e46b4, 0x9ef8d2cc, 0xc32775a0, 0x04528c07, 0x6cea28ff, 0x6af808b8,
+    0xd08852bc, 0x7d2fa709, 0xe36f91dd, 0xda9882b0, 0x0f9e8a01, 0xd7358700, 0x314bfd74, 0x33e3c7b6,
+    0x0f6cb4e7, 0xead97445, 0xb0d2324e, 0x2ee26cba, 0x30483b26, 0x6c5f8e94, 0x20389d52, 0xe02ee7ab,
+    0x53cec2a2, 0x5d5390d4, 0x2fe4299a, 0xdd0980bc, 0x36b1e603, 0x52df4bdf, 0x2a5da5af, 0xda1b5295,
+    0xe93b9cd5, 0xd04f714e, 0x74e88de1, 0x39ba2f19, 0xe9ddd0da, 0x05975454, 0xde973caa, 0x1b329629,
+    0x4acf75e5, 0x5479c4e2, 0x272df11d, 0xa4646583, 0x8dec44d2, 0xa0633b6e, 0xf283b729, 0xf6c2cdf9,
+    0x21cf2506, 0x0168e325, 0x2765a4b3, 0xf6e98859, 0x3a2da186, 0xff3f6b8d, 0xfb3b7d6f, 0xa4750fb9,
+    0x8252a15c, 0x22a0a46d, 0x244eacfc, 0x9ce73e28, 0x2bb286e2, 0x8ec89d84, 0xf715d85a, 0x948e1ff6,
+    0x91cca35c, 0xe701d154, 0x1420ce90, 0x95ba5aef, 0x40806b92, 0x913514a8, 0x97294c37, 0x38dc7dc0,
+    0x9b39effc, 0xb3180b67, 0xd5c82758, 0xb03c9374, 0xf4dd421b, 0x587172f6, 0xcb018bb4, 0x0dfddebe,
+    0x1ac89d6b, 0x62b4c835, 0x9e25d609, 0xb3969d03, 0xa18bad4f, 0x4afa1ecc, 0x8392c9b2, 0xf5fb01ee,
+    0x463c2786, 0x71520a7f, 0x505a5293, 0x77a8433a, 0xaf07e782, 0xd93f5cf5, 0xfdbd618a, 0xb3e46d06,
+    0xf7b3eab0, 0xe4b16e96, 0xa3c9bc92, 0x3bc03b5a, 0x2d9cc193, 0x379c29af, 0x67c73c3e, 0x4d7cd8b6,
+    0x6a645183, 0xda5ddc2c, 0x660fff6a, 0xbcbfa8f6, 0x306b50c3, 0xcdb0078f, 0xc1b17a88, 0xa96226e6,
+    0x312eb627, 0xb2dae993, 0x27b2198c, 0xd2707d67, 0xa2b41aaf, 0xc5c37559, 0xaec39c43, 0xa8bfecc4,
+    0x54e184b0, 0xa34252b0, 0x611d2610, 0x7b68d700, 0x0372da79, 0xc91cbdac, 0xc19e66b0, 0xeb77fff9,
+    0x4bf58c50, 0xadab2186, 0xab1e9123, 0x34525c5a, 0x1be1c398, 0xec3fdd12, 0x76286aab, 0x19d86f93,
+    0x59ddadab, 0x14920467, 0x7a39a4c9, 0xba64d2f3, 0x1061da45, 0x92bf39cf, 0xe003d2a8, 0xf65ae0b7,
+    0x00000000 }, /* 10**-00000000000000000000000000866459279412754643618254432544713657323886586054942\
+                          67974077486894206915868925800719999200190754361815543475342543861619655442432 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721,
+    0x314ac5b9, 0x254dfdf4, 0x61e98be6, 0x6bc08588, 0xab831707, 0x6d055271, 0x4bd0a7af, 0x2846dfe9,
+    0x00000000,
+    0xaa041094, 0xbd6a645a, 0x6ca53d93, 0x808a5025, 0xf50e0123, 0x719f3b72, 0x24903756, 0xcd6f7606,
+    0xce543d7a, 0xad432247, 0xdb80b63f, 0x9d064909, 0xd467898c, 0x3aec5293, 0x923a162f, 0xc2fd835a,
+    0x88aff6b8, 0xe59ca946, 0xdd3894a7, 0x48e8d83a, 0x0e08c287, 0x2b315c39, 0x51c94eb8, 0x0a61ef9b,
+    0xf9c7ecfd, 0x68220b59, 0xae1e323b, 0x87fcc1e4, 0x7680280b, 0xe504aca7, 0xc870880b, 0xda646bc5,
+    0x34ff67a6, 0xbcbe5769, 0x4995d3cb, 0x0d97ac28, 0x12daaf16, 0x451ad50b, 0xc4205da1, 0xfb71f3c8,
+    0xe15db932, 0x7e8f602b, 0x2089f63f, 0xdcde7ab5, 0x6667d55b, 0x0ddc830d, 0x9665bfdc, 0x76af1fcb,
+    0x76f2a057, 0x493f25cf, 0x357da0f1, 0x78ba3643, 0x0a0f58aa, 0x403d7e3d, 0x7e90f70f, 0xc3c5aabf,
+    0x19e7c03a, 0xe57a110b, 0x04874776, 0x1b550e1d, 0x0ddaa6f4, 0x0c65d9f2, 0xb036d851, 0x4f4e2071,
+    0xbf8cf06b, 0xb5e1faac, 0xf4a571c3, 0xfa52f420, 0xcde3bf7b, 0xe463317a, 0xf7adb0b9, 0x8329a38a,
+    0x72e5df29, 0x53c6b9b1, 0x64288f92, 0xb16b73dd, 0xbd02ff4d, 0x6933f91f, 0x9c35280c, 0xe1c3d137,
+    0xc66249b9, 0x4b8fefdd, 0xddc5d62c, 0x9f9f9174, 0xc7d71105, 0xcf21e408, 0x91f399d4, 0x81e9fb72,
+    0x4444afc7, 0xcb7576d4, 0xe73a93c2, 0x2f836884, 0xbb97a15b, 0xf47854cf, 0xd5a3428e, 0x141401d1,
+    0x54890282, 0x6e33d46f, 0x59515880, 0x3e74d1e6, 0x0db2c53a, 0x58ea7970, 0xd7748e17, 0xdf152e60,
+    0x4e81e797, 0x562598ad, 0x08ceaf69, 0xa0ffc946, 0x48deb1af, 0x51157cc1, 0xe7ba70d8, 0x751942ad,
+    0x1e7ab778, 0x01968484, 0x11fc7ff6, 0x184342d5, 0xbf0b1e7a, 0x5bd710b5, 0x20620454, 0xaa39033d,
+    0x1dbe18f8, 0xb3ce06e8, 0x61b492a5, 0x14ecc4d0, 0x40188137, 0xf82b6b3e, 0xe219ad00, 0x42cca2e7,
+    0x476a8804, 0xc38cecb1, 0xf8d940d5, 0x1a2f41ce, 0x16e8cc5e, 0x0e2cb4a5, 0x989c6483, 0x2b0e0098,
+    0xb808d8fa, 0xce97926f, 0xbfbb9624, 0xe6e6ab49, 0x4f49ceae, 0xfe7e3d0d, 0xdcc06a9e, 0xe5809d04,
+    0xe7ae7d55, 0x12a30b35, 0xb241a61e, 0x318b2046, 0x12dc9b6b, 0xe7cd1948, 0x1bc599ed, 0xab223d41,
+    0x959769e5, 0xef6d8ba9, 0xb5798eea, 0x26367483, 0x5478e929, 0x1d09df0e, 0xa50f93b5, 0xc9181299,
+    0xb780f6aa, 0x6a5e1076, 0x3cd0b4dd, 0xed07d984, 0xb19de665, 0xb6a36819, 0x5b0de56e, 0x362ca55c,
+    0x9bbbf943, 0x65563797, 0x65a89ef6, 0xac031221, 0xc6598c54, 0x2a2b13b3, 0x36723311, 0x85cc2110,
+    0x3f538eb7, 0x830c38ce, 0x46785da0, 0xc102315d, 0x22e5e2b5, 0x41dc9e81, 0x0921428f, 0x711b82d6,
+    0x708fbefc, 0x78d216c1, 0x2588e1eb, 0x4c3e1d1d, 0xcb964e69, 0xad84ced2, 0xfd1e1cf3, 0x4254c726,
+    0x460b7699, 0xedb034c7, 0x14692d6c, 0xa7d0a357, 0x64e57610, 0x2185257c, 0xb38c8f3a, 0x5dbf4b3c,
+    0x82e53cde, 0xd1656141, 0xc32a0b93, 0xf9bc476c, 0x6f3a4fa7, 0x9e0f563d, 0x1b00bd1c, 0xfe55083a,
+    0xb7c4ebf2, 0x86582014, 0x3cf1c3fb, 0xe51fb3aa, 0xed5d39b4, 0x3be04e55, 0x749a00d4, 0xfc415bfd,
+    0x2ebb2164, 0xc89ce9af, 0x85e57b52, 0x3a8183af, 0x6e2d9843, 0x18d49220, 0x43215211, 0xd8811fb9,
+    0xf529a934, 0xdf512da4, 0x29df2258, 0x3beebef1, 0x14a2d559, 0xdc62257c, 0x9316cc6d, 0xca08822e,
+    0xa976cb77, 0x6769471c, 0x8c40a3dc, 0xe4d27ff4, 0x1a7c4de2, 0x8cc7fbd9, 0xe9272341, 0x3e560c28,
+    0xf078c3c2, 0x40880e81, 0x3eb7d5e2, 0x2759f298, 0x6636accf, 0x79041420, 0x37c54a0e, 0x866542bb,
+    0x9cbb4868, 0xde031fbc, 0x5735ebb1, 0x31366391, 0xbecc68d6, 0x31dc2d00, 0x975b22fa, 0xfeadf588,
+    0x92ef8775, 0xfd648abc, 0x12f770d7, 0x29f15bd0, 0xa8da6a02, 0x9a1c21a2, 0x800ad43b, 0xa7f13c7f,
+    0xcb3bfa17, 0x94ed9127, 0x52e00926, 0x071a7f26, 0x5bb85881, 0x35a51282, 0xd4aa6b2f, 0x841ec4f0,
+    0xc13e7866, 0x93b26b39, 0xbf4ac051, 0x2bb72980, 0x1440bb69, 0x40433226, 0x569bcb3a, 0x0954ffd9,
+    0xb01d1e67, 0x7298be7f, 0xa3c39175, 0x46faef3a, 0x43a1edde, 0x754b4712, 0xe829e524, 0x3eea642f,
+    0xe03d84a1, 0x39b4026a, 0x3e5f9be6, 0xa0ea184f, 0xf19ece9e, 0x663eb06d, 0x70c5054e, 0x25828880,
+    0x0a2fa1c1, 0xdb079573, 0x05ac9c22, 0x9bbc9ba2, 0x56fd8c3d, 0x92a5d403, 0x55706462, 0xa0f52ee3,
+    0x5f1e5fcf, 0x35e80aaa, 0x7105db12, 0x3b6e5f8b, 0x509a639a, 0x995ab775, 0xdcf7eb58, 0xa728c5fb,
+    0x1e39839d, 0xec16b69f, 0x8a7af46c, 0xbd2712da, 0xb14c1783, 0x4315d2d8, 0x713dca8a, 0x390b0e65,
+    0x7155fa8d, 0x3176ffe6, 0x34580b11, 0xb17fde0e, 0x7a3544f3, 0x7c78ccaa, 0xcbf88234, 0x2a4c1fe9,
+    0xb0dd2d36, 0xabef6a18, 0x8bee31e8, 0x92acab0d, 0xf9a5d3af, 0xd1b3b6d6, 0xad8be074, 0xa4afbda6,
+    0x01000975, 0x2b48f9d3, 0x0bad5cf2, 0x71fa4e01, 0x6fb8f4da, 0x55ec97ea, 0xd04ba702, 0xe1a59811,
+    0xc2f9e2f3, 0x94f25d8f, 0xc222c274, 0x8e7be1ff, 0x6dc4e9ba, 0x6ed3d8e4, 0x1020992b, 0xc6c46628,
+    0x716cac9e, 0x8079cc6a, 0xbadc010c, 0x108b7a2b, 0x46a4b17e, 0x6e80c74b, 0xb8fdc02d, 0x3808e45f,
+    0xfcc0ceda, 0x4cf9095b, 0x5637fb06, 0x8814f296, 0x8be4602e, 0x5d2197d0, 0x40e306b0, 0x7fd3e319,
+    0x590cc981, 0xd7c08c03, 0x5a56c1ca, 0x5275c427, 0xf818fdda, 0xb0ccf558, 0x8f7c1141, 0x25f5c278,
+    0xbbf71754, 0x4ff83e0e, 0x22e4dcda, 0xb151f8b0, 0xc9f31372, 0xaec3d8e6, 0xe9e93ec1, 0x25e4963d,
+    0x0fcd6f24, 0x26c2e78e, 0x4ec8f15b, 0x9b1b5f7a, 0xe632ac4a, 0x2244dd3b, 0xc36326fa, 0x1fbfc184,
+    0x58a4bc60, 0xbee292cb, 0x7d412b7f, 0x98c55ea9, 0x29cbafc4, 0x8901d88e, 0xa5a9b6f0, 0x3cf6bd33,
+    0xbf3299f6, 0x9f39e173, 0x28c44674, 0xbc9a29ec, 0x51ddc43a, 0x24f6feda, 0x2ecda497, 0xfa512c95,
+    0x8359927f, 0x247fda29, 0x0b55d2e7, 0x5bb8577d, 0x27044082, 0x2699adff, 0xf6afb504, 0x704449bb,
+    0x0efc14a3, 0x4844562a, 0xe465a803, 0xd4bd8bd3, 0x873ae204, 0xc1572eb5, 0xb25fdd96, 0xf96c445a,
+    0x94441878, 0x4154cff1, 0x354d525d, 0x0dabe005, 0x10d1a870, 0x2a554052, 0x0d78776d, 0xe9b40406,
+    0x6b83c777, 0x4091ac96, 0xe8b9b389, 0xa7c7a732, 0xdf75ba6e, 0xea79c325, 0x6ce0a887, 0x74f87e40,
+    0xf42eee07, 0xc6a1bfbf, 0x5f1c6b0c, 0x999d22f1, 0x788027b0, 0x5aba7c01, 0xafd712a9, 0x2ad01894,
+    0x94f5b4b5, 0xbe667e4f, 0x3676e8e3, 0x62218153, 0x597eff03, 0xd99c3844, 0xcf948034, 0xd4226127,
+    0xc249e96e, 0xff4d7720, 0xca47d570, 0xf54059d3, 0x46df0812, 0xf082c8aa, 0x321af597, 0x73f394b1,
+    0x4ffb9ca2, 0xbedae18a, 0x367fc3e6, 0xb7326dee, 0xe1a8969f, 0x88af316e, 0x2884b818, 0x57855c67,
+    0xc4657287, 0x17cf2e58, 0x6630e990, 0x45600071, 0x87f0bafe, 0xa4d6183d, 0x4674c75c, 0x2446bcc3,
+    0xcae8b4bb, 0xed1728ef, 0xfd1ead07, 0x2b8ca853, 0xe956a283, 0xa9bf0d5f, 0xb9a6f733, 0xf510c474,
+    0x66ddf082, 0x42288648, 0x7a56534f, 0x3ccb8dee, 0x3aa5682f, 0xdda707fc, 0xc6046adb, 0x55226101,
+    0xea668ecf, 0x16955ba9, 0x521fa261, 0x95f0962b, 0xf4e905b2, 0xac64bda9, 0xde10807d, 0x9284bad8,
+    0xc151110d, 0x16744c1f, 0x0712d344, 0xcddf020c, 0x81c63547, 0xe4308db6, 0x16234a31, 0xae1275c0,
+    0x180b7698, 0xd40f1b64, 0x57a82de1, 0x46f26899, 0xaade9d02, 0x644e5527, 0x67fb4e48, 0x6176bf3a,
+    0xfb8ccc78, 0x9f502b5f, 0xeed9be15, 0xe289efd0, 0xc7307454, 0x513f1ae9, 0x8c6b49e2, 0xc259d388,
+    0x463890c7, 0x025493c6, 0x118d6fc9, 0x13fa4d81, 0x72dfe8f0, 0x32e489ce, 0x6cbc923c, 0x066d5bab,
+    0x2faa0e62, 0xaa61ea45, 0xc9b7120b, 0xcffb7418, 0x1a4df162, 0xb324eeef, 0x5b9b6322, 0xc2702ec3,
+    0xd9e983af, 0x54fecbc5, 0x3404525a, 0x759f48e1, 0x70a9a593, 0xd6e70b51, 0xaa56c287, 0xa496452d,
+    0x7c8d2b8e, 0xa2740003, 0x5cf242f0, 0x250f7758, 0xb527652c, 0x301c726c, 0x47a7f4d8, 0x97e64a71,
+    0x18943d74, 0x4d11d157, 0x287bb262, 0x66e6a2c6, 0xc5c71777, 0x7e9edbc3, 0x0b24f52a, 0x3c2e6dfe,
+    0x8e21df62, 0x83e2e94a, 0xcb7f5ae0, 0x0cf839c5, 0xc696533a, 0xe9042d90, 0xb943d654, 0x97de5cbe,
+    0xf7c219dc, 0xfc6b76fc, 0x511b7dba, 0xf4a0c2b7, 0x55a4df6b, 0x74ee449d, 0x841f9889, 0x9f9a3fb8,
+    0x1b75ba6e, 0xf5bdc037, 0xcd1aeafe, 0x688a485f, 0x37bac5fe, 0xfc1a45cf, 0x606d4428, 0xc0992e44,
+    0x7df9640f, 0x1eafffb0, 0x37fdff98, 0x4a1719f6, 0x6f457fee, 0xebc77dbc, 0x104cceb9, 0x4b064f89,
+    0xf7100a58, 0xedb35b4f, 0x50c161cc, 0xd371aacf, 0x45562a91, 0x72722fa9, 0x592b9d5a, 0x7f2fb607,
+    0x9db0f547, 0xe7e14982, 0xcbeb27e4, 0x5a51b777, 0x6003a124, 0xb6990560, 0xe42f9d72, 0xa2c26c69,
+    0x9eae81d2, 0x398ef6b5, 0x184dae3c, 0xa5fe3389, 0x36a9d735, 0x609ef785, 0xca6b9243, 0x2f940689,
+    0x06cf279b, 0x88583a0a, 0xd9ea3730, 0xe0652fc4, 0xeabeb8c4, 0xcdbebba5, 0xee84a21d, 0x0972a650,
+    0x32f34783, 0xd2bad56f, 0x3f877fb0, 0x2b852d4c, 0x39f278c4, 0x4b78b34d, 0xb4447d2b, 0x83f65b1d,
+    0x37a7ba23, 0xe72f685d, 0xb0f8d992, 0x3da06166, 0x7741e44b, 0x5e5ff9b2, 0x0cced0b2, 0xb9a84708,
+    0x57bc4897, 0x0e0a42c4, 0xaaa80089, 0x7285e81e, 0x3bcb4a99, 0xed1b89c5, 0xc2d2ad16, 0xec5a7f51,
+    0xc991fb8f, 0x10cf99c4, 0x40ecd196, 0xf462f9be, 0x6e4f241a, 0x67b4c2ad, 0x607cfec5, 0x204e40ba,
+    0x6fa9e0d9, 0xaa914c29, 0x655f45c7, 0x5b94363a, 0x1dca8187, 0xdffc7f52, 0x3915f879, 0xae496133,
+    0x20cab687, 0xcb15689a, 0x7eb01bd7, 0x3cf4d12d, 0x955db268, 0x6fad3d90, 0x4ea1ade9, 0x9546bfd8,
+    0xd666ab3e, 0xfe4dadac, 0x61b09154, 0x4b33a11a, 0x5e95dc86, 0xd98849dd, 0x4fad8b17, 0x319aa381,
+    0x2e188f56, 0xb067a936, 0xf2823f62, 0xa70e36ac, 0xdb5cf2af, 0xff1a4e95, 0x55bca0f9, 0xc141125d,
+    0x0bc02d3a, 0xaa9ed204, 0xee58380a, 0x790c0fda, 0xf6a31af1, 0x338d66b6, 0x602db614, 0x82e853c3,
+    0xee202349, 0x4130a720, 0x8decf57d, 0xe23a3c18, 0x5bfb0fa8, 0x0abfb39e, 0xf1838b26, 0x86ed3008,
+    0x3f081641, 0x812c6839, 0x20f3e324, 0xdc1c7950, 0xd70e1984, 0x8a0a568a, 0xc7bd3626, 0x243214a7,
+    0x7c038815, 0x05670076, 0x2276c229, 0x5ea8b184, 0xbe8e7424, 0xb10733a5, 0x3cec59a0, 0x30e29523,
+    0x9ad3d60f, 0xd907ee4b, 0x2b1f910d, 0x7dfb335b, 0x4b797364, 0xa2cb0b30, 0x7dcdd834, 0x0b8470b6,
+    0x88ff0405, 0x1c994329, 0xcfe32669, 0xc357da5a, 0x1fdcec74, 0xebfbb783, 0xd99fac6d, 0xc45ae025,
+    0x36e4bfaa, 0xcbf8188e, 0xef830f00, 0xf9803dff, 0xbf14d073, 0xd8e743f4, 0xd9ef8378, 0x6f8f842a,
+    0xbaee532d, 0x1a349159, 0xe69dcc10, 0xfcb4d4e6, 0xae7f2268, 0x7cd4f1a7, 0xa78e80ff, 0xe753da16,
+    0xf4db7ce0, 0x0d452eb4, 0x38d5bb8d, 0x8448a865, 0x18b9e16f, 0x6c4f1931, 0x7f919bba, 0x4bd32c93,
+    0x537895af, 0xe97836d2, 0xbf11d273, 0xc013767f, 0xaeae772f, 0x07efdb96, 0xe3355a53, 0xbadd81f5,
+    0xac8c67c8, 0x20d8f35c, 0x01956ecf, 0x7552a798, 0x18257884, 0xa56377ad, 0x9e103910, 0x5714b118,
+    0x59688f64, 0xdb28d45c, 0xc85bbd84, 0x436c2cd3, 0x7b7ded12, 0xccf0cf63, 0xaa3e1e34, 0xaa7c1ac4,
+    0x8eac0c3d, 0x6dc1f3d5, 0xa757ca35, 0xdb7a584d, 0xcca7a48d, 0x9f5379eb, 0xd3218a32, 0x4a0d6b15,
+    0x1ca75277, 0x589dad93, 0x97f791cf, 0x44bcf983, 0x6becc3be, 0x173a464a, 0x3644e595, 0x359a50f9,
+    0x040e4e75, 0x8aec233b, 0xa3b64e63, 0x09af4e78, 0x1da03907, 0xc08263d1, 0xe4274ffb, 0xde6febd0,
+    0x1f2a1703, 0x5d1419e7, 0xaca34c06, 0x258fea4d, 0x3e3be193, 0x2f44bc7c, 0x543d630b, 0x5d9d1b81,
+    0xc5fe5dd4, 0x6b26044e, 0xc9c81565, 0xe4a77935, 0xce980139, 0xac9c6ca6, 0xd85ba58d, 0x455698e3,
+    0x5cc285d9, 0x4c9d5da1, 0x9ca9d809, 0x7f247a96, 0x370eea72, 0x97b6c7a8, 0x7521b572, 0x7bb29587,
+    0x006eb2a5, 0xaeac51fd, 0xd04acf05, 0xf27b3f81, 0xc72980d0, 0xc1b2d959, 0x8f51a6e4, 0x409dc4ee,
+    0x746eafd8, 0x573343a2, 0x33544587, 0x003cddcd, 0x5ad18705, 0x5c7b56b6, 0xb8878c26, 0xfbbf3fde,
+    0xbd580cc5, 0x148941e6, 0x73f5f6d1, 0x5a06fc14, 0xc23c2151, 0xfe1142af, 0x2d916da5, 0x2282b4b9,
+    0x27149839, 0x5877fe25, 0x7501aaac, 0xe9f797ce, 0xdda1bec7, 0x24d3fee1, 0x7fc41a6a, 0x28f6003b,
+    0xe40d8519, 0x722962bf, 0x1426e9b1, 0xe0f08d49, 0x2bb84347, 0x3f83879a, 0x22183035, 0xe1d9507c,
+    0x4db1c857, 0xf4fbbace, 0xdabedc6f, 0x43dc1b6d, 0x937089d5, 0x04cf3da2, 0x53a7a588, 0x64b71e55,
+    0x169ecd1b, 0x682b34b8, 0xe0608f0d, 0xe47e3393, 0x0dccc742, 0x4f2a2f22, 0x56549b34, 0x34b73699,
+    0x9dc55bed, 0x1ee13e49, 0x9b313c90, 0xa11d2ddf, 0xf175508b, 0xdc4f0f73, 0x2969914d, 0x9e945f61,
+    0xfdbd8387, 0xc57a8d88, 0xa20c0a0c, 0xc7866708, 0x1c8125d4, 0x1909132a, 0x24d2d1a8, 0x414e7f9a,
+    0x2fa3ca4e, 0xe3b9bf63, 0xa54096be, 0x46c6577e, 0xe395dff7, 0xf4ad0889, 0x3fccb990, 0xd525841e,
+    0x73e79f49, 0x62d18ee1, 0x42a5add5, 0x4f987a0a, 0x5cb75907, 0x83675a1c, 0x2f5cdf21, 0xcd58faf9,
+    0xb0732817, 0x6ecd5a56, 0x33a1b9b3, 0xcc30fe2c, 0x67683bd3, 0x3bfdd8b5, 0xde6e4b34, 0x0a426025,
+    0xd8f2fc6c, 0xeeaa389d, 0x2283d55e, 0xd7bd9351, 0x080b1129, 0x7b576341, 0x2368f7b4, 0xd009376c,
+    0x95a27b8d, 0xa3dc00b1, 0x647960f3, 0x7a9650ae, 0x26f0fdc2, 0xdea16992, 0x6ec444c3, 0xdabc6db3,
+    0x3ec08b55, 0x7ecdf7b8, 0x7219af9e, 0x2407f213, 0xf6779bef, 0xb292957d, 0xbcaeab38, 0x66636845,
+    0x9109675e, 0x0ec3d5b7, 0xecd5755e, 0x22667363, 0xd4cdccae, 0x5d87dfa7, 0xc3eac530, 0x88c823a0,
+    0xafc1f2a9, 0xd8c5c476, 0x74e94589, 0x6489899c, 0x8ef667fe, 0xfb935212, 0xfc5462c5, 0x4aed8045,
+    0x5c38ce6c, 0xafdd1e49, 0x99721002, 0x272c0336, 0xc52d7ef3, 0xf3730f34, 0x50ed697c, 0x4f73f738,
+    0xc3f30e7b, 0xc73ff3b4, 0xd116546a, 0xae9ac8ec, 0x6cc414c6, 0xf5178eae, 0x5bcee166, 0x127dbed1,
+    0x66d4067b, 0x115150ea, 0xcf727fd2, 0xc6d306e1, 0x61028c31, 0x01796774, 0xd7594237, 0xf47c2176,
+    0x250baa03, 0x2ea38caf, 0x77b57c71, 0x8b695dca, 0x9e0253ff, 0x54c86d81, 0x550a3eee, 0xc3dbd623,
+    0x00000000 }, /* 10**-00000000000000000000000000433229639706377321809127216272356828661943293027471\
+                          33987038743447103457934462900359999600095377180907771737671271930809827721216 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390,
+    0x98a562dc, 0x92a6fefa, 0x30f4c5f3, 0x35e042c4, 0x55c18b83, 0xb682a938, 0xa5e853d7, 0x94236ff4,
+    0x00000000,
+    0x93850481, 0x7840634c, 0x49a4c248, 0x707c5fe0, 0x7d5d9973, 0xa4dd4948, 0x4f903a3d, 0x3d79f424,
+    0xf263f1d5, 0xb37808f7, 0x50582818, 0x52c45dbd, 0x76f77c33, 0xe93ecc0c, 0xf9afdd55, 0x9bdbd429,
+    0xdde34199, 0xdf645d6f, 0x6dacb93e, 0x70a079f1, 0x828eab34, 0xf675690e, 0xa27d17ef, 0x8fbb49f0,
+    0x3927c95f, 0x3bb34ca3, 0x97b3effe, 0x482803b3, 0xca33c900, 0x74ad9b5b, 0xd4789150, 0x16604ba9,
+    0x103bcb49, 0xb5f694ae, 0x91d0e646, 0xbb415156, 0x63c091ef, 0x4e3e98ae, 0x307063c0, 0x9b8e1acb,
+    0x0969a840, 0x7ead3691, 0x881334cd, 0x29e422e3, 0x7932795a, 0x952b49cd, 0xc02de200, 0x936ff543,
+    0xdb7a215f, 0xf17ee76b, 0x29aa2030, 0xd68a2066, 0x6276ef53, 0xa735a13f, 0x5a7ee612, 0x6e8de518,
+    0x163f3c53, 0x89bb7ab3, 0xdb0d953e, 0x744954e5, 0x1ed39f20, 0x8c93f1ed, 0xd632f332, 0xcfcf9fe7,
+    0x32f1cfc9, 0xf10b0840, 0xc14d6eaa, 0x154bb1f9, 0x87d75221, 0xc66b72a2, 0x4103bb7e, 0x1aebfa2a,
+    0x0d269a95, 0x2ebfec5e, 0x8b451db3, 0x776850cc, 0xae964210, 0x6099d071, 0x330a3ec9, 0x61ef2601,
+    0x4b8e95cc, 0xdae1af3b, 0xb8bda690, 0xbdfdfdf6, 0x200c9ebe, 0xf2427568, 0x137535f5, 0x38bdcf1b,
+    0xb9e668f9, 0x86a862ae, 0xfc5acd18, 0xa2987042, 0x8f2691ef, 0x81a346ae, 0x73d8e2ae, 0xb8161511,
+    0x4d2ab73b, 0x75c2fda0, 0x0917a3ba, 0xa61d7960, 0xc8045ceb, 0x33e8b3c9, 0x4efd30f5, 0x640aafce,
+    0xf166362c, 0x175eebca, 0x3e64fc7d, 0x65e7be2e, 0xdfa67ea7, 0x9435ec69, 0x53dfa497, 0xbffebfd5,
+    0x26dd07c8, 0x96ae99fc, 0x52cfd894, 0x0a8f36da, 0x04734b06, 0xd8bae605, 0xc475918a, 0x3f7a4dc5,
+    0x33d0c2bf, 0x953bce38, 0x3e0bac7f, 0x4908208b, 0xdc2a1514, 0xf8c52ea2, 0x01cc9149, 0x70198288,
+    0xe1d3a5b9, 0xd5734266, 0x76036ffb, 0x9bc0ad4c, 0x1682287e, 0xe5993b3b, 0x1fbce9ea, 0x389a4204,
+    0x7b1af274, 0x23295884, 0x8df0c399, 0xe6e19f38, 0x4a2925e8, 0x288d7047, 0xebd6551a, 0x9f1e1188,
+    0xceba94ba, 0xc3b2b15e, 0xe199c988, 0x9f172e0f, 0x8836da74, 0x0be72d7d, 0x5f23fc2c, 0x40f785f5,
+    0x3f4e279c, 0xda46c997, 0x723e59a3, 0xb5e0340d, 0x57091ea3, 0x6fb1aac5, 0xf51a14f2, 0xac7a5851,
+    0x9d819b23, 0xcd02f2d0, 0x74c27db5, 0x87c65c6b, 0x9ceed522, 0xd8efb4c3, 0x1e743c54, 0xc49e419d,
+    0x5552bc7e, 0xd366ec5b, 0x5987838e, 0xcb842d0a, 0x22b55639, 0xc5aec5d0, 0xa7511d5b, 0x336a177d,
+    0xd866a3cc, 0x0f4f3085, 0x4aceb2f9, 0x83661479, 0xe525bd03, 0xdeee1cc8, 0x44a6a6f0, 0x5a6d3940,
+    0x0105267c, 0xc245770f, 0x5a1fbc68, 0x91ac45d2, 0x97edcf17, 0x40c7149a, 0x0555773b, 0x503da918,
+    0x531b0f71, 0x65150898, 0x3a4794da, 0x06eeedb1, 0x24051c9a, 0x0f930772, 0xd26fd8ac, 0xb20521fd,
+    0x2bf2e454, 0x3d6db49d, 0xeaa19404, 0xc2f55143, 0x7da9aa6b, 0x3226e707, 0x1e62763c, 0xe97ea069,
+    0x6e0583fa, 0xb085c00b, 0x10f2d0e3, 0x65c8cce8, 0x76e83816, 0xd4f12586, 0x2c8a5f44, 0xa7071fb2,
+    0x74f2440d, 0x6423dc10, 0xf90c2cc7, 0x706cf551, 0x9516fb2d, 0xae130f0f, 0xe8921ae5, 0x8032740e,
+    0x5cdca65b, 0xcf4dedc5, 0x97d7b791, 0x9c116e15, 0xbdadcdb4, 0x6fdc79ad, 0x9e43d138, 0x0f3d85df,
+    0xee06f349, 0xa33f0f60, 0xc94a6369, 0xa9a00e2d, 0x0eef802a, 0x397dec22, 0xcb49fa1f, 0x7b6d591c,
+    0xfd419cf4, 0x28bbde52, 0xd2288c31, 0x2dc3d426, 0xbbbba28f, 0x567ae50f, 0x86f8a0b0, 0xe680b902,
+    0x8d4b402d, 0x300268da, 0xbd54f4a2, 0xfa7c9417, 0xfb13516d, 0x48630838, 0x12ba1d55, 0x30ed9fc1,
+    0x1bf49224, 0xf949f62c, 0xea347310, 0xc7280e38, 0x9429c6aa, 0x44ab8e09, 0xed0134ce, 0x0d8d1ca0,
+    0xd5717c85, 0xcb463e08, 0xb5041a49, 0xc43752dc, 0xfe20daf7, 0x0fdc6433, 0xdf48bb43, 0xa567d48b,
+    0xdd7f80c2, 0xd282dc1c, 0x391f2355, 0xf2c88156, 0xd7b06cf6, 0x39dc6d2f, 0x73194ad0, 0x71e195e7,
+    0x4970518d, 0x5bc296c6, 0x391c7063, 0x68b9f82b, 0xfca8fded, 0x3c40e089, 0x6c0eea79, 0xd13f8f5a,
+    0x8a200cd2, 0xb5dcf359, 0x14cd7c54, 0xf83511cb, 0xfcbd3d52, 0x15b4616c, 0x77b8e2b9, 0xfe6fbbcc,
+    0x8d56dac5, 0xf6abadf7, 0x284bb3c0, 0x17e19832, 0x3bb8d2bf, 0x4ee0b3ef, 0xeaa62e79, 0x1ba24cf1,
+    0xc37fb1ef, 0x5bc9adc6, 0x274839b5, 0xaf21fc5a, 0x64642ffd, 0x5f53a74d, 0x887c0c81, 0x45a11ba5,
+    0xa42b15b2, 0x9f7042f5, 0x96074e78, 0x33c3ce4b, 0x5a55967b, 0xedfed476, 0x056d808f, 0x0ee5b6e2,
+    0xa6eb525b, 0xaa48b3d2, 0x15702dc3, 0xcfab8795, 0x8ce10dc4, 0x092f0519, 0x6ce858d0, 0x9ba5430d,
+    0xf7fe84ef, 0xd2bee7bb, 0x3608fc78, 0x460722fe, 0x294c7704, 0x8a98e5f0, 0x361eb8a6, 0xdb779110,
+    0x871a0f33, 0x810832f5, 0x137710a1, 0x33528077, 0x217955ad, 0xf6dbb9a3, 0xbf81e5e0, 0xc99832a7,
+    0x1f6cffd9, 0x0bedb1ae, 0x03451b8e, 0x0b3ba959, 0x067808f4, 0x91ad288e, 0x894b2d70, 0x7de7c7e3,
+    0x821b8fa2, 0x51567235, 0xdaf54420, 0xd154dc62, 0x8ce1030a, 0x5413fdd4, 0x0409d65c, 0x980332d4,
+    0x89e201e7, 0x64ef0905, 0x707fdfbd, 0x9ec8d834, 0xbde7f779, 0x0a1d976b, 0x8967dd19, 0xaaeef5ba,
+    0x70a644d6, 0x372af6ee, 0x0d38e152, 0x57626298, 0x40e0df5b, 0xecaa9b12, 0x7ef14ce9, 0x4316c058,
+    0xad340e09, 0xc43f4a2c, 0xf950ff04, 0x0122d3fa, 0x6cffe4af, 0x130f4686, 0x6d7bd3e7, 0x1701369b,
+    0x4a78e527, 0xc4765659, 0xa9785994, 0x38c13bc9, 0xaa03d1f2, 0xcfa00ce4, 0x4f6b8a0c, 0x99bfd40a,
+    0x486570cc, 0xa3228c83, 0xe7a6a395, 0x2f2eda72, 0xa4497257, 0xcfd7774e, 0xff828a00, 0x60c9c424,
+    0x2d208b52, 0xffb56882, 0x739cce9d, 0x52f9b4f1, 0x076fdaec, 0xbd5ad026, 0x0e80342a, 0x2b5f8286,
+    0xcc7ad9ba, 0x96edb90f, 0xa575c866, 0x868bbe33, 0xdc2d4210, 0x8f3c6dcc, 0x8223e9c0, 0xa13903e9,
+    0x919d3fa2, 0x2fbc0161, 0xbb518c00, 0x6fbfebe9, 0xbba04b38, 0x06e00c14, 0xc1f1da48, 0x94ee6df8,
+    0xf57dfff8, 0x778b7435, 0x4c8425da, 0x2336a0f1, 0xc9eb5518, 0x619c28bf, 0x4bc20887, 0x21d84d50,
+    0x08aed9f7, 0x7a16d8da, 0x64008a41, 0x7fe43ab7, 0xee4d96f8, 0xebee422d, 0x8bad769b, 0x75331c4e,
+    0xd4ef75e6, 0x6978f11b, 0x757160ec, 0x728e2805, 0xaf829229, 0x368ae921, 0x905e3413, 0x1d45156a,
+    0x61d5734a, 0xc790157e, 0x1f234cdc, 0x2666c872, 0x3d3de752, 0xfada9135, 0x5e1dc128, 0x3194fd1b,
+    0xa4588f40, 0x52655a4c, 0x23bb8abc, 0xe6fcac90, 0x58b23ed0, 0x7c9a80d2, 0xaf935de0, 0x3a963549,
+    0x3a91ce7b, 0x653b503c, 0xb1b1248d, 0x8116b4f8, 0x8600ee1b, 0x0c5621a1, 0x6a29ff8d, 0xb7328730,
+    0x92aaf82c, 0x373d2a35, 0x551d4501, 0x1dc4461a, 0xec9227fa, 0xbc6f7b70, 0x8bee72f5, 0x10a8be69,
+    0x0890dddd, 0x3ce59cb1, 0xa8e824c7, 0xbfbf3bb0, 0x7ac536b4, 0x2a0442bb, 0x802090d4, 0x342c7793,
+    0x0e5d77a7, 0x2d546b98, 0x4342690a, 0x875a7804, 0xb37e62db, 0x2b039d68, 0x3858031a, 0x90156187,
+    0x6e2fda5d, 0xba907f8c, 0xc582b45d, 0x4a61781e, 0xb8f34248, 0x6e44c508, 0x523224da, 0x7202a2f2,
+    0x63acae38, 0xaec3cd1f, 0x027baf19, 0xe3813cb7, 0x07bfddbb, 0x43d771c2, 0x00091db3, 0x07926551,
+    0x1f26b24e, 0xcf22f3e4, 0x91e05e53, 0x93f52a92, 0xfe2d967f, 0x89ca57bf, 0xa23dde54, 0x5114a480,
+    0x83c0710f, 0x26920b26, 0xcca40764, 0xbd7405ef, 0xd97c6b5c, 0xb37caa06, 0x4618d4f1, 0xcd4b2324,
+    0x4645522c, 0x7228c81e, 0xcec4f9df, 0x1c755851, 0xd209c4e8, 0x34312435, 0xd56d81c8, 0x59bbd706,
+    0xccff2728, 0x7a4de980, 0x9893137a, 0xf540a1f9, 0xb92c303a, 0xe8735bd6, 0xaa1e46e5, 0xd4d9395a,
+    0x37d9c657, 0x75590f98, 0xdce6a8bf, 0xdae1de9b, 0x1a60ceb8, 0x77cf6408, 0xbb08ee80, 0x4c47782c,
+    0xb642300a, 0xc438da55, 0x65fb141e, 0x056b7282, 0x658603a7, 0xc4b1b797, 0xb167c2f7, 0x8c24e990,
+    0x5132ccff, 0x130bbebf, 0xfc409859, 0xaece226a, 0xec405156, 0x755ff699, 0x31fcc2ff, 0x51b97d78,
+    0x3068554d, 0x3e961fb3, 0xd00277de, 0x98e5ea0f, 0xeaebc88b, 0x57b0a3ba, 0xc800913e, 0xc9975bb0,
+    0x7590230b, 0x5ab47551, 0xee3fa91a, 0x7baa24a7, 0xb4ab09c5, 0x6aca413c, 0x9d053459, 0xc269d12f,
+    0x49ead3df, 0xb4c9c0b9, 0xecf9fd15, 0xa096a2b3, 0xa16ec76c, 0x8fcf88a1, 0x21997cda, 0x6bc42fea,
+    0xf43b94b8, 0xb88807be, 0x253ada46, 0x7f7f9993, 0xafd25606, 0xecfee099, 0xf83b5e27, 0x52e00264,
+    0xf3acc6af, 0xce7841d1, 0x10767503, 0x05b1e9f0, 0x2a33e93e, 0x8f8ffef6, 0x0a0f545f, 0x62343d88,
+    0xfa86d74d, 0x59453088, 0x3b446d1e, 0xe634346d, 0x9d25cabf, 0x60f22da1, 0x6ba159e2, 0x2d52d171,
+    0x02cb62a3, 0xa1deca68, 0x914c85f4, 0x2e74bdbc, 0x90793f9f, 0x47a091b5, 0x1d08adaf, 0xe9d351c1,
+    0x906e1055, 0x6338af31, 0x6c585e62, 0x5338dab8, 0xc69cc144, 0x85b3d50a, 0x8fa93dec, 0x673e5685,
+    0x72357927, 0x696d6185, 0xbc86a888, 0x8cacc960, 0x7e950ea3, 0x1877dcce, 0x079ac96e, 0x21b34848,
+    0xa782f611, 0x645fc5aa, 0xada758d7, 0xc7b136d3, 0xd3b25562, 0x17976ade, 0xdf1efe5e, 0xb4bda4e8,
+    0xa15f1223, 0xb25175f8, 0x6b85c268, 0x47591637, 0xa08363a2, 0x94e041e2, 0x10455d84, 0x961a019f,
+    0xc8fcbe7d, 0x48a2d93b, 0xdb1aba1c, 0x28bd3f9c, 0x7638255d, 0xb1b490d3, 0x23152990, 0x3b213cc9,
+    0xc297e3c3, 0x4867f789, 0x067a67e4, 0xebd06ed0, 0x1e5a4ff7, 0x9ab0afb9, 0xf412a8a0, 0x1458a361,
+    0xbfd54ff8, 0x2c5556f7, 0x89c5a125, 0x20cf84de, 0xb0715cba, 0x32549e36, 0x413d57b3, 0x2ab2815f,
+    0xd508ddd6, 0x50e46453, 0xc2e2ca11, 0x05e714cc, 0x1d1c0c30, 0x65652169, 0xe30451bf, 0x0c3d05a5,
+    0xe7fad17e, 0x48d08512, 0x577f3572, 0x30eac4c6, 0x6f5bc7c9, 0x52140256, 0x33fd0ffb, 0x4385f224,
+    0xccb12502, 0x6dc65784, 0x92eea695, 0x731285fc, 0x170fbf5f, 0x272f471e, 0x138455df, 0xadb95b78,
+    0x4d2c9a2e, 0x8bf2bf6f, 0xe0662d43, 0x0aa049a2, 0x2d8c3a5c, 0x0f8b4401, 0x6ef510b0, 0xc17a2d20,
+    0x9a83b789, 0x00872cb9, 0x35cc7607, 0x3edaec41, 0xd07b97aa, 0x6aecf96c, 0x760c6205, 0x0bfbfefc,
+    0x17c4566f, 0xe8546b98, 0xbb837a73, 0x8a7126e6, 0x67f3b601, 0x73553d41, 0x3c8a6b40, 0x7ff236d3,
+    0x30acc01f, 0xf4170ddb, 0xc498b485, 0x96b7ba13, 0x3757f6c9, 0xe1de4903, 0xc2948959, 0x3a950613,
+    0x0d5d708b, 0x165dde1a, 0x7615b69f, 0xbd79e388, 0x2c416a57, 0xea819675, 0xfd222386, 0x2826c09c,
+    0x50ab983c, 0x8d03b4f0, 0x6815387f, 0x0053d492, 0xacf60422, 0x8c9f1ac1, 0xf9bfa63f, 0x2ac9b279,
+    0xbde14751, 0x366d298d, 0xbef12505, 0x01ecaeb8, 0x334b1f0b, 0x5db26ac2, 0x1fcee149, 0x1d092d69,
+    0xfe1bce0c, 0x89c7931c, 0x3365c912, 0x551d74c0, 0x5b555d43, 0x9447f717, 0xb2236d05, 0x3d5f83cb,
+    0x9c3a5278, 0xb338ca71, 0x7752bb60, 0xe9136f1b, 0x5df95bf8, 0xf18704ba, 0x2120855b, 0x5fd26b2b,
+    0x82c0fe3c, 0x5e00c812, 0x7c10d608, 0x47a8a00e, 0x3ed533d4, 0xb0cd7bce, 0x71552d2f, 0x22455278,
+    0x16fcc791, 0xb34f4fe9, 0xef6e6454, 0x1ea38367, 0x36dda984, 0x3e010077, 0x28cff749, 0x384a6fa0,
+    0xf63d1d04, 0x1983d408, 0xf737cf47, 0x7850be24, 0xf4296302, 0x1f4152c1, 0xcd663dc2, 0xbd6a0d38,
+    0x756af2a0, 0x4053763d, 0xf968d95c, 0x2d3e8395, 0x228376cf, 0xf2f28336, 0x7ad2e0cc, 0x82188f20,
+    0xda2bb0d0, 0xba3d80c7, 0x097bf634, 0xe2e99e23, 0xc5bfe8f4, 0x287d2cfc, 0x3e4cb0f1, 0x31106b6c,
+    0x42c333d6, 0x6bf601f0, 0x03690ff4, 0x0e043e3c, 0x9a2a9637, 0x17390384, 0x40a13807, 0xb4f74ceb,
+    0x8656788d, 0x22308973, 0xe18309ed, 0x2b0aac87, 0x29dcbec5, 0x9cf06b26, 0x94622030, 0xbdd64da4,
+    0x9047a7aa, 0xd7cce5de, 0x6c779028, 0xb13f9fc9, 0x86ad9818, 0xee6cc335, 0x758548c0, 0xb66ec5b9,
+    0x3840d1ba, 0x30b64336, 0x67876e4f, 0x1b2cda9d, 0xe4a2ac65, 0x7ea79c8d, 0x56feaa09, 0xb2138917,
+    0x8c1233f7, 0x02201aa6, 0x288399d5, 0x6bf69889, 0xb3f7239b, 0x796f4962, 0xd1c8a290, 0x7d365fd5,
+    0xa5fc7cbf, 0xaaafce1e, 0xc67c2183, 0xdf11b10c, 0x4f9134a6, 0xd924e854, 0x6fc158c8, 0x03735892,
+    0x063240e6, 0x3d6b8e9e, 0x2caa0067, 0xdd353804, 0x7547afbc, 0xe5ddaf20, 0xd70ac37d, 0x65ae87ea,
+    0x7a7c651f, 0x77a538e7, 0x1213e77c, 0xd1e8a69b, 0xa70eaf08, 0x89dedfe6, 0x9b1bfcb3, 0xed49d756,
+    0xe9ccb34c, 0xb0e64c12, 0x28e330f2, 0x0b8a442b, 0x460058a2, 0x16f987e2, 0xeb8e644b, 0xfdb21adb,
+    0x7bffcdc7, 0xf35b3036, 0x91ffbd83, 0x60d0cd60, 0x66c765b0, 0x2a5ecd19, 0xafeac0a5, 0x4d256447,
+    0x2a2c0466, 0x0bdae030, 0x5d6d070d, 0x2724e2ec, 0xf1362bf4, 0xbf771cbe, 0x5dce2a26, 0x6f193568,
+    0xf7666367, 0x771d09b5, 0x11ddec07, 0x707fb523, 0x8534418f, 0xd6f8feae, 0x105320cf, 0x8ee6fb6c,
+    0x7cf1b0a3, 0x79aeb48b, 0x558f7937, 0x35daac70, 0xab9798f8, 0x3daa19df, 0x4a2d1cba, 0x5c384044,
+    0x3b6bae0f, 0x01b25602, 0x921104b7, 0x8508080a, 0xbf81552e, 0x3f15a9a0, 0xb19efe18, 0xfb221653,
+    0x7e1b0384, 0x4e9dd59f, 0xd4fdf60b, 0x72ef91df, 0xc6a2ec65, 0x072d61ea, 0xae8378b7, 0x0e67c08c,
+    0x38c45935, 0xadad6576, 0xaa25b3d0, 0xb82f37d0, 0xfbdd8c12, 0xa0adee26, 0xf0ef87ba, 0xf443fea8,
+    0x89f78d5f, 0x7434ec5e, 0xdfa39d68, 0xabc285d4, 0x3a7e39bd, 0xc1b0e8f9, 0x6f653651, 0xfbb00d23,
+    0xc1ec357b, 0x25c35b89, 0xa8fb4b55, 0x9a83b657, 0x544fafe7, 0x95cac726, 0x6c5ad27e, 0x3434ab56,
+    0x2af63e6f, 0xf46b315d, 0xb8e1ead9, 0x02fc8bfb, 0x655a9374, 0xbd587781, 0x51a5e084, 0x40687726,
+    0x60aab1ec, 0x201fcdf2, 0x1b66822c, 0x87023f26, 0x438002ef, 0x39b72866, 0xacb7792c, 0xf811af23,
+    0x671688cd, 0xd72209db, 0x5a261e7a, 0x2521c978, 0xa95c675b, 0x2f0c3a9f, 0x83a77c93, 0xb84d5f97,
+    0xfa377d10, 0xd178d8ec, 0x2ac2b9eb, 0x47e456f8, 0x0a7da987, 0xb98945d8, 0x5394a9e2, 0x87e2a69c,
+    0xbc6d3bff, 0x9a450617, 0x3d5cf6cb, 0x209203af, 0x1a1fadc5, 0x58586ac4, 0x3de2a910, 0x3aafb258,
+    0xe959fb82, 0xa8e9d5a1, 0x76eff8fc, 0x36c2ce3f, 0x07dbb799, 0xa69d018a, 0x2f575128, 0xc31c2a79,
+    0x00000000 }, /* 10**-00000000000000000000000000216614819853188660904563608136178414330971646513735\
+                          66993519371723551728967231450179999800047688590453885868835635965404913860608 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8,
+    0x4c52b16e, 0x49537f7d, 0x187a62f9, 0x9af02162, 0x2ae0c5c1, 0xdb41549c, 0x52f429eb, 0xca11b7f9,
+    0x00000000,
+    0xc2550d5c, 0x1aa6678e, 0x27d14dc5, 0xa94607d8, 0xfc55a912, 0xdfa85651, 0xeb6b1075, 0x2a5cc935,
+    0x47b43a27, 0x5c12817d, 0x19d493b1, 0x645fde14, 0x07f08774, 0x1ade9199, 0xef1b2e94, 0x94ede4e9,
+    0xf06f1577, 0x29f6c289, 0xb518872d, 0x3c5119ca, 0xf97d3a1f, 0xa009c577, 0x84e30efc, 0x8366afb9,
+    0xfc03b882, 0x706849e7, 0xa1df5ce6, 0x9371ff0a, 0x0bf35987, 0x5bb903a9, 0x089e50a0, 0x039d4983,
+    0xcaf8e5c5, 0x9bb52d08, 0x5426618c, 0x14a3e5cd, 0xe4d6a137, 0x8df3ffc1, 0x6f86d786, 0xd0966143,
+    0x60d3c6cc, 0x068e0059, 0x028b648a, 0xfaef1c25, 0xeb5e185d, 0x89856c1b, 0xda9b2e38, 0xd7143ff0,
+    0x8d528ab3, 0x3000b59c, 0xafcc1da1, 0x900e63b2, 0xc67b749d, 0xf5420764, 0x4d6eb830, 0xafd96323,
+    0xe6e3ca50, 0xe5a31deb, 0x0cb1bbda, 0x9c67f616, 0xbfea681a, 0xb985d37e, 0x13dd7a8f, 0xa31752a3,
+    0xe4970878, 0x89849946, 0x415199b0, 0x7f8e072c, 0x4f384a6e, 0x726bc63d, 0x1802e8a2, 0x34429f20,
+    0x3558c51a, 0x09df55c6, 0x1c5330a1, 0xe622774c, 0xbbdfeac2, 0x75b8584d, 0x726facb8, 0xbb124c8c,
+    0xc81a7168, 0x03c3d2da, 0x90f8f8c7, 0xf6d51d42, 0xdf14f992, 0xc4dfe4a6, 0x0e31eda7, 0xa7b0eb3b,
+    0x2cc83b66, 0x2b241e23, 0x8e086d16, 0xc026cd25, 0xf86852a2, 0x497fe158, 0x0e317a39, 0x1e376729,
+    0x14993548, 0xee67f2b0, 0x716b6874, 0x1bf34865, 0x696c5ea7, 0x09f440bf, 0xefabd2b5, 0x5b3e01ab,
+    0x8e0807d5, 0x67c0b697, 0x61d68968, 0x02cbe7ad, 0xf949b3d7, 0xc32cbc79, 0x7e83e8db, 0xa9fe5f5b,
+    0xdde322e6, 0x153f2ebe, 0x2e12ac16, 0xb932dc13, 0xe9e00bf3, 0x11d98772, 0x678c50da, 0x70996053,
+    0x84b22e1a, 0xaa507217, 0x20f12713, 0x269ee97a, 0x18c33686, 0xc5a66567, 0xa12b6f27, 0x89e88b7b,
+    0xefcbe856, 0x85f8a717, 0x72645d57, 0xb4243a36, 0x77a03ece, 0xb0cac384, 0x801003f8, 0x1ff0063d,
+    0x9062e943, 0x3c639e13, 0x96f4abc9, 0x4bacb4c3, 0xd9de2921, 0x9644fbe4, 0x9a77b02f, 0x2afaa2b3,
+    0x21f80b68, 0x5d79fac1, 0x5f4c0dba, 0xfee00bdc, 0x38b32635, 0x8c3bdb76, 0x3564b4df, 0xe719c570,
+    0x3195d9f0, 0x84e198ba, 0x24cdcaf5, 0x15c5cc3d, 0x7e25e54b, 0xa9c54060, 0x2396292c, 0x7a2fe967,
+    0xe940c93f, 0x8ca2818c, 0x177af201, 0x2460d7c1, 0xbd34f948, 0x270ad864, 0x47d843dc, 0xc4f7b138,
+    0x4397dd45, 0x1868d601, 0x78daddff, 0x6f1ad709, 0x5fbe256d, 0xa56f5145, 0x785eeac7, 0x7cd7d49b,
+    0x224d3055, 0x78f3079c, 0x3f17561f, 0x10495059, 0x11713e64, 0x1d89183b, 0x143aa963, 0x658230e0,
+    0x85e98bc9, 0x3feedd4e, 0x262619f3, 0xb57849d8, 0xd587c602, 0x4e3803dd, 0x04eb102c, 0xd22d655b,
+    0x3e3982eb, 0x048ebfb8, 0x1edcd776, 0x24b53264, 0xad39c53f, 0x2fa75fbe, 0x20221c1d, 0x88375ea9,
+    0x9d964571, 0xe84791a9, 0x3bcb3a0c, 0xe552de83, 0xfbf82869, 0x4de6921f, 0xf3de94ac, 0x6d76269f,
+    0x422878ea, 0x0fd9f80c, 0xe304d7b4, 0x48f5b311, 0xa72456ca, 0xc76dd52a, 0xad62460a, 0x2bd412fb,
+    0x7a8c9b23, 0x091be796, 0x9112d61a, 0x81bee49b, 0x7a97186d, 0x13b01795, 0x51c74bc3, 0xcaf76496,
+    0xfed886be, 0x4aa6702b, 0x45770502, 0x1722d0be, 0x2f5842fb, 0x2292bd01, 0x2a19674c, 0xdf89f9a7,
+    0x3611988a, 0x517de601, 0x6d84ff4b, 0xdd7cb114, 0xcc2e3316, 0xf9d935bd, 0x9b9fa5d8, 0xa74f62f8,
+    0x7a4a6189, 0xd1aea670, 0x0e871a04, 0xe45fa56a, 0x2de6dd9d, 0xa50da92f, 0x437c72a1, 0xd22fa7a9,
+    0x0056d534, 0x07fe6934, 0xc61a7acb, 0xf27c77e1, 0x5bfb1571, 0x9e98c9cc, 0x338d70f9, 0x64041784,
+    0xe835f6cc, 0xb6ab57e9, 0x1e28f344, 0xfda1e2bd, 0xd7c61a04, 0x5284e9a7, 0x7e79eb3a, 0x01f1fdaa,
+    0x0f505411, 0x02282753, 0xf9786368, 0x9cdabcf8, 0x220b2ed4, 0x5e16a79d, 0x45565638, 0xbd1dddc3,
+    0xb37fae7f, 0xa371d388, 0x89848bec, 0x48a9213d, 0x5ca4e38a, 0x3bf3420f, 0x8320729c, 0xe70b55b2,
+    0x188d3344, 0xd19c7b8a, 0x1f6b3089, 0x28fda524, 0xdd6defc9, 0x611a1880, 0x3feb7f2b, 0xf6939293,
+    0x1248a3cd, 0x253dcff2, 0x8c773d11, 0xe5128665, 0x390a8896, 0x62d63452, 0x7afdc4aa, 0x89ef260e,
+    0x8cbea58d, 0xcfad1e68, 0x36541747, 0x882ef252, 0x8d4e03db, 0x7b9ea4c0, 0x05d64e55, 0x43d44a30,
+    0x293ebca7, 0x3d4c0863, 0x5beb67d1, 0x1a85355f, 0x3337ab5f, 0xbb5277cd, 0x9439412b, 0xe8ed4747,
+    0x6185dff3, 0xa1d86dfe, 0xff51b6bc, 0xc4b3d318, 0x29388d93, 0xb98b34ff, 0xde11816c, 0x8f13f0fb,
+    0x92b4397a, 0xe6d8c99c, 0x087d2bf2, 0x0de17752, 0x661d4abc, 0x056ccdd5, 0x04e50860, 0xca349579,
+    0x33059d0f, 0xdbbdf57a, 0x9dd31d8c, 0x0b968288, 0x28394ced, 0x631eb492, 0x285a47c8, 0x0c35d342,
+    0x0d7e8daa, 0xded361ab, 0x8bbd0d74, 0x103615c4, 0xb6fc287a, 0x0f2cd79e, 0xc8aa090d, 0x9f957876,
+    0x4e62b2c0, 0xb951eed5, 0xca3c0f9a, 0x2157c36f, 0x7a1fab25, 0x01447ae0, 0x8b5ffbe3, 0x926915b2,
+    0xbac87c7f, 0x97687f8b, 0xcda8efa4, 0x15a259b1, 0x00c1872f, 0xe3281fb1, 0x8671019e, 0x699d4816,
+    0xd22d6b31, 0x0beeb52a, 0xa600d94c, 0xb68cdfed, 0xa31fe0ee, 0xc5a18b21, 0xd1303e64, 0x8f7f1aff,
+    0x7529988f, 0xa8cf2d3a, 0xf56d72f5, 0x0c1cb697, 0xfa6593ba, 0x96b823ff, 0x2120bc26, 0x6a876eee,
+    0x3d49186c, 0x12170598, 0x4f169f39, 0x0f4f74de, 0x8293ebb5, 0xe74c8aa5, 0x582f1807, 0x22de0bb0,
+    0x6eedeb25, 0x60885a2e, 0x12f017e4, 0x8ca7d5dc, 0x5a6dea7d, 0xfcb4cf39, 0x8a9beef9, 0x2a1a49bc,
+    0x2c7e7e71, 0x2a687c51, 0x9eae5a8a, 0x901f3aec, 0xc4f71c44, 0x7360c627, 0x5f3f67ef, 0x70e5567f,
+    0x897b3109, 0x2bfe34e6, 0x9e321a45, 0x87e16055, 0xf2001f25, 0x982db824, 0x1df77ef2, 0x871dec85,
+    0x81a86ba1, 0x51717c5d, 0xd97f58f3, 0x8de6a0aa, 0x8553703e, 0xc42ba336, 0x9ff811b6, 0x33345b44,
+    0x5aae973b, 0xdbf45003, 0xda0e34fc, 0xcbcc4fd7, 0xb1c85ebc, 0xd86bb80f, 0x103c5a66, 0xa5edee0f,
+    0x1bccc194, 0xc269bc72, 0xa16a5ef3, 0xe83d4ac9, 0x9482cb55, 0x765e63d7, 0x9aee03e2, 0xf7f97724,
+    0xc59ae767, 0x131d9448, 0xdbdd5791, 0xdf6e2e0c, 0x05226091, 0xeefc3d7d, 0x053ba691, 0x552cdcad,
+    0x854bf5c2, 0x85691af2, 0x1c469375, 0xc57c3ef4, 0x3d12890c, 0xcbad052f, 0xb94f5db4, 0xb56b07b2,
+    0xa5deb0c5, 0x0f4d7099, 0x8033a93a, 0x20b933d5, 0x834c8f3b, 0x9db008e9, 0x6ab3a8b5, 0xc14a2b2e,
+    0x45bf449f, 0xc17138a3, 0x20292dcb, 0x6fc98b60, 0xe2673583, 0x374a0f70, 0xf7aa8b4e, 0xec2a68be,
+    0xa92b16f7, 0x3ba979af, 0xff199a00, 0xd5a14b35, 0x8d7432ff, 0xd1934d97, 0xc1984c42, 0xa803e4f4,
+    0x03dd2ad6, 0x82db2e2a, 0x5de94654, 0xa4ea2a1e, 0x3549dbf8, 0xff719b9d, 0x55e0289b, 0x69d9705e,
+    0x01bb98d7, 0x97912d71, 0x26ef4d64, 0x44ee7298, 0x15384d38, 0x72f04598, 0xa6c6eb6c, 0xb157532a,
+    0x3794ce56, 0x4c1579ce, 0x0f471d9b, 0xba86b66e, 0x97487c7e, 0x82dc9a0f, 0x1a037983, 0x7cf47bce,
+    0x4232717c, 0x99d551f9, 0x492f62c7, 0x7a3a52e6, 0xe5c2467b, 0x55e88f95, 0x0799ae83, 0x3d5573b7,
+    0xcff66625, 0x1bda9438, 0x29fc25a1, 0x7d4eeb06, 0xdab239e0, 0x6538d1fc, 0xc64ea435, 0x17cd9fd2,
+    0xf7a5e2bc, 0x46ea0bdf, 0xfc793266, 0x39825f0b, 0xb78bea28, 0xf8b5fb82, 0x30d86e66, 0x84eafb66,
+    0x28e0aabd, 0xfbad5aff, 0xfaf8b17b, 0x22853608, 0x364afe94, 0x17d06d80, 0xf8620d8e, 0xd97a2e6a,
+    0x21517641, 0x08315415, 0x2c69df34, 0xb52e7473, 0x32721f8d, 0x261261c7, 0x80f023a0, 0x05838d3c,
+    0x75f15d86, 0xfc746879, 0x685fc6f5, 0x3e95392b, 0x171f5d8b, 0xcb24c55f, 0xe77db6e1, 0x16797bf6,
+    0x395cc74d, 0x21039671, 0xfca0d7ca, 0x71ca6dff, 0x39998769, 0x0c5d6495, 0xf10755ab, 0x777a0e2b,
+    0xf2ce77f0, 0x76c43af2, 0x11a9e1fb, 0x85ded15c, 0xd2a8f10d, 0xf88d5c8b, 0x01534039, 0x46bd67a6,
+    0x36327250, 0x9fcdd7ce, 0x56073f06, 0xdbf9ca6a, 0xa2548172, 0xcf680516, 0xa8799f30, 0xa1439358,
+    0x5d591098, 0xa2afc536, 0x33a8b56f, 0xb4cda7b2, 0x8bd2a84d, 0x8bca5de6, 0x4f367f0a, 0x4d17c2fe,
+    0x7f5bd83e, 0x73f70cee, 0x26bbf207, 0x098848bf, 0x2155bbfe, 0x4243f560, 0xd4e80a00, 0x3d25b406,
+    0x25630f50, 0x66ad5488, 0x2aca7d58, 0xf2e95884, 0xfc9b7fa1, 0x8f1e2fb6, 0x04051c2d, 0x806d3797,
+    0xca671ce0, 0x24efeb96, 0xdca8f8e5, 0xa0c21c10, 0xa41791de, 0x18efd856, 0x0b048eae, 0xce3f040f,
+    0x108c24d3, 0x59418296, 0xd8f8f098, 0xbd94c223, 0x59e892e3, 0x7deffcb3, 0x85e355fe, 0xe57bbd4c,
+    0x4b38bb2a, 0xc9119356, 0x85ece24a, 0xc35ae02f, 0xdace3c7a, 0x80123a79, 0x50286f48, 0xbf12a6b6,
+    0x485ec264, 0x6a5891f6, 0x3ad8cf6b, 0xfe6f4b7a, 0xd0527063, 0x0b19a8c1, 0x31a17a98, 0xa8ba43e2,
+    0x7f60b9ef, 0x39a71e65, 0x75b27b93, 0xd70cd3d6, 0xab9cc16b, 0xa6019b3a, 0x7b90668d, 0xd6261172,
+    0x514f3591, 0xa7d00cc0, 0x14f3f1a7, 0x910298e9, 0xebef64fa, 0xeeea4ada, 0x79e3bad8, 0x9991951d,
+    0xafe83211, 0xd6387d54, 0x639bd6b0, 0x5930e0e5, 0xdaef9a99, 0x7a4e87d8, 0xf882a58d, 0x8fe08d57,
+    0xec16d421, 0xbc266bf7, 0xf6fa7ab4, 0xb741120c, 0x450d24ea, 0xa1e392e2, 0x02445369, 0x36a2995b,
+    0x3d70393a, 0xa742aac7, 0xb9a16cf0, 0xf45fbdaf, 0x19fe0870, 0x2913f83c, 0x06093383, 0x84fb5964,
+    0x98ca71c4, 0xdec630e4, 0x5a611a23, 0x3a5c26b1, 0xb054cdcc, 0xf4118bcb, 0xb8cfc00f, 0x6e4cb5cc,
+    0xefd697c7, 0x6c42a2c8, 0xaa28114b, 0x78f0c411, 0x82adee84, 0x050c9233, 0xcc3a6223, 0x838445b6,
+    0xbbe66454, 0x0a483ada, 0x29e271ef, 0x4b6628eb, 0xbf5e1ff5, 0xada07441, 0xabd9a894, 0xc113f900,
+    0x74e0ad51, 0xd82b8fb8, 0x13aa6aaa, 0x29f21461, 0x4dee4b7a, 0x8c912d3d, 0xd988b26f, 0x7352ac3b,
+    0x3812c4de, 0x5407c630, 0x0f4392ce, 0x01222d93, 0xf1c85dc8, 0x1b0c8639, 0xbfcc9639, 0x34fec9c2,
+    0xd4d9fc73, 0xe0872bc5, 0x33aa7050, 0xdbbf9955, 0xf2d8f6a5, 0xf3c98932, 0xdfd4dd88, 0x10ed5580,
+    0x5740947b, 0xaf95a151, 0x9af21fd5, 0x18e71764, 0x3ee81054, 0x057c055e, 0xece2bb8c, 0xb7f3cf6c,
+    0x7b987dda, 0x5ea5f1c7, 0x8b37f3d9, 0x9b208a68, 0xeec7ba4f, 0xfe7a930e, 0xa4aad8a1, 0x16b1a12e,
+    0x7fd79860, 0xc707ae57, 0x3c28a9a0, 0x4941a5ab, 0x55afbc23, 0xbdb4d9f7, 0x9649afa8, 0x4c602853,
+    0xaef8bf60, 0x283e158d, 0x19fc26a2, 0xd88de504, 0xd46c3288, 0x821ec5a7, 0x1c5c96c0, 0xee4b3c08,
+    0xce201b7f, 0x1d171afe, 0x542d1410, 0x7b6f94e9, 0xe796efb9, 0xd4c84f56, 0x034cf5dc, 0x69988069,
+    0x528d1eca, 0x61c63a3b, 0xa860a9f9, 0x14391955, 0x90736bad, 0x2da819f5, 0xc4549e98, 0xdf4d8cdf,
+    0x7949d9b6, 0x7fefb287, 0xf4d26342, 0xaa7ee552, 0x4926fa15, 0x10e3b046, 0xa0c6e746, 0xa0aef968,
+    0x0bc2d28a, 0x0a1e4323, 0xb5cc4ca6, 0xf6762575, 0x198d71d0, 0x49cd7eb9, 0xb96245a5, 0xf4f9d460,
+    0xd8a29fc3, 0x1a739539, 0xcc318584, 0xd0b0f6e9, 0xae8274f7, 0x3c05ddff, 0x27388f2f, 0x9049689b,
+    0xb40c21ab, 0xf4f84550, 0x1c94a7af, 0x0a0aea28, 0x1175b19c, 0x99af3d4d, 0x2bda9370, 0x7b96797d,
+    0x9e1ca066, 0x5d301546, 0x46ec41d5, 0x2553a450, 0x6c29d534, 0xd3c9f75c, 0x4e0996f6, 0x8a7a6283,
+    0xf3c4215c, 0x72e2de1c, 0x2cb65861, 0xff41cfff, 0xf32448f8, 0x7bc506d6, 0xb0e2be30, 0x1c945359,
+    0xbc8b742f, 0xeb7297b1, 0x415c6598, 0x64cf57f8, 0xa26a034d, 0x65467711, 0x9c1eeb43, 0x02d5e327,
+    0x71a46f86, 0x0316d22a, 0xe9527228, 0x7d845e58, 0xab8c2702, 0xdfc4e087, 0xbc0df973, 0xeb5c886c,
+    0xf7ccd0b6, 0x22397996, 0xf790ff0d, 0xe2dccc46, 0x0088309a, 0x3e874184, 0xf55cf8f0, 0x5ba1ecb0,
+    0xaceebff0, 0x7db1bb31, 0x230eda1a, 0xaaab2f76, 0x42c2e35f, 0x4ada5ca5, 0x20df41ac, 0xba676bf4,
+    0xa0dbc81e, 0x5519a213, 0x96a8be17, 0xcbc3db0a, 0x30e1ffdf, 0xac742400, 0x61903488, 0x19734916,
+    0xe5563c24, 0x09565fd4, 0xa990144d, 0xe5c393d5, 0x090dcb31, 0xc936fd2e, 0x9d6d89d0, 0x3f4550d8,
+    0xb9e42478, 0x49100ef0, 0xeac3d7af, 0x1df19d1c, 0x9fa84c77, 0xa2f19dda, 0x5a2a7d99, 0x66e84b67,
+    0x5127d286, 0x99aba108, 0xa6bab4ed, 0xb3c92ace, 0x4b022aed, 0x291b2d49, 0x4094c268, 0x3aa5c4dc,
+    0xc6deb284, 0x7b1b209a, 0x7b186197, 0xfa0d6e7c, 0x5cc3693c, 0x97c67fe2, 0x06c0950f, 0x6afc8d4e,
+    0xe14d9ac0, 0xc5e5250e, 0x10d0cbf0, 0x068083f0, 0xf7d025c3, 0x48f77a1e, 0xb7f89eeb, 0x7ca7da51,
+    0x6ade9e3b, 0x1895ee84, 0x75dea059, 0xb754c3ea, 0xb4d43de2, 0x53effc90, 0x493c3999, 0xd4f0b1ee,
+    0x4bdda3e0, 0xe7269316, 0xb172f706, 0xcd8d9f03, 0xb5fc7ce8, 0x5410bb22, 0x69f68161, 0x2efd9cc1,
+    0x940b1cbd, 0x131c5ab3, 0xf8d28f18, 0x824f9040, 0x9fd8280d, 0x9efb7bae, 0xa3ff2285, 0xa30cd3e0,
+    0x8c1f241d, 0x0601fabf, 0xfc5fbc40, 0x246da385, 0x37dcbbc7, 0x36fcd3c0, 0xac744f08, 0xacac7f71,
+    0xdaa7297a, 0x334d68e8, 0x980b0d9f, 0x0486ab9e, 0x6991989f, 0x42d7c63b, 0x64f918c3, 0xa5dfa3e9,
+    0x6d57211a, 0x55467ed1, 0x0ba9e894, 0xd1665cc5, 0x8a62d450, 0xc8e0c914, 0xf07c4e5b, 0x598b2aed,
+    0x575b01d5, 0x4222cb5d, 0x54c8a451, 0xb53a63df, 0x8ad25c1a, 0x76e4a0c8, 0x29bcf622, 0x0a200892,
+    0x3ba88be0, 0x5dac6a6c, 0xbc188a2b, 0x89b7ae8b, 0xb0fc1c43, 0x7e61fb92, 0xc504ccae, 0x1eaf0a8b,
+    0xa1f63c96, 0xf36c964b, 0x0eb23659, 0x8c53217e, 0x6ede6163, 0xd8851597, 0x904dc289, 0x179bcf24,
+    0x65e41458, 0x03eba72e, 0x75436d4a, 0x70ae1cc9, 0x0020cbcc, 0x85ebb685, 0xbcb5c89b, 0x3bc46490,
+    0x38b40ca1, 0x3e08933d, 0x8a8f8b7c, 0xb9fe2f77, 0xc438fcea, 0x2d0fa4a2, 0x0a8d3403, 0x13faf1b5,
+    0xa973c677, 0x25b5b4a9, 0xcffb5e88, 0xe3d7731a, 0x4781ea27, 0x460ef0e7, 0xf9f67d4c, 0x93f6c4ca,
+    0xe3926278, 0xb2241ffe, 0xd1f1b91b, 0x571a095f, 0xa3eb3d9d, 0x223dac16, 0xfd0db150, 0x8bd00637,
+    0x4d1a94db, 0xe0633258, 0x4e6563b9, 0x3d5ce3c3, 0x02318627, 0x8afd1ffa, 0xb0d27bf7, 0x713114b8,
+    0x39786f1a, 0x3579efe4, 0x0ccdf230, 0x0e54a293, 0x2ed8e859, 0xa84a02fb, 0x72d282b2, 0x1a494230,
+    0x00000000 }, /* 10**-00000000000000000000000000108307409926594330452281804068089207165485823256867\
+                          83496759685861775864483615725089999900023844295226942934417817982702456930304 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4,
+    0x262958b7, 0x24a9bfbe, 0x8c3d317c, 0xcd7810b1, 0x157062e0, 0xeda0aa4e, 0x297a14f5, 0xe508dbfc,
+    0x00000000,
+    0x9db77322, 0x70c2109e, 0xd48865fa, 0xfe8182be, 0x3dad3ec7, 0x4f2db582, 0x410e6b0d, 0x43b6d5d4,
+    0xda6e0812, 0x0306f908, 0xb1b58d24, 0x002d5a66, 0x6839de9a, 0x1b8e0438, 0xe61a61f7, 0x6dd5c957,
+    0x07c1b14c, 0x8e0e7690, 0x214c7312, 0xe5217f73, 0xdada6365, 0x64e5975c, 0xbf0ffcdd, 0xaa567e9c,
+    0xa607de06, 0x21788927, 0xdb300f56, 0x5f7e239e, 0xae2914b2, 0x35d6e385, 0x48af5049, 0xd20614c8,
+    0xf8538731, 0x35a8bb2f, 0xc35bb6c7, 0x54288dc6, 0x1669fc5d, 0xc353c7bf, 0xe753b0a1, 0xbfc55dfc,
+    0x2fcb516d, 0xea7f0f97, 0xe6a4032a, 0x4a4af9e6, 0x4abdc77a, 0x0c032b4a, 0xef18da1d, 0xcde64671,
+    0x9287a324, 0xbd4c5b11, 0x9ee88fc9, 0xc08dd011, 0x8d1f20ca, 0x90375e32, 0xee1832dd, 0xf84a015b,
+    0x2bce0140, 0x12b4a45f, 0x758c101b, 0x84992bce, 0xcadd4b3a, 0xf64a987f, 0xc74ee9f9, 0xca53c5a8,
+    0xb398ad61, 0x7a208fca, 0xb9fca41f, 0xe6613e16, 0x2bd45c5f, 0xbbb6e416, 0x0ee68204, 0x13178bb7,
+    0x34393a77, 0x3f157e12, 0x063ab640, 0xb6818436, 0xdf4897c9, 0xea42dcf0, 0xfe4ee3f0, 0xec3ce89e,
+    0x1386325b, 0x6affeed7, 0x4b08dcba, 0x21563cb1, 0x87a52740, 0x665ffbe8, 0xed529d08, 0x9a5153ab,
+    0xe4d64612, 0xf02fc4b2, 0x282462a8, 0x3f711d42, 0x0bc4188b, 0xfb4a2101, 0xf19aa6b9, 0x87bd2bf6,
+    0x22ef8147, 0x55444bdb, 0x673f0d38, 0xf262eebb, 0x94fd46c9, 0xe0b1bfbf, 0xc12f80a2, 0x3bc11830,
+    0x7c9b2512, 0x7561a30a, 0x1d6bcd63, 0x8d13ad87, 0x8302f638, 0x31cb2f0a, 0xc592d67a, 0x42d8dc79,
+    0x79de3755, 0x6a6ff814, 0x8de4529b, 0x40cac755, 0x9d224d6b, 0xc6be64d2, 0xe4564db8, 0xdcfde8e8,
+    0xe2643fe0, 0xbd54786b, 0xab2f6f83, 0xec77d633, 0xc5e48e73, 0x88e6cfe1, 0xa96ef45b, 0x8fa8b1fa,
+    0x4261a830, 0x9ff33809, 0xe22ba366, 0x402b99ab, 0xc6873a2e, 0xac64f9ae, 0x17505885, 0xab03909b,
+    0xe213ae7e, 0xe51671e8, 0x68f431ff, 0x3516bc6d, 0x4b6211a9, 0x0208a521, 0x3d161de0, 0x353dba33,
+    0xa62e3df6, 0x44a5a454, 0xbe22c245, 0x65ccacfe, 0x4cb26988, 0xed2f169a, 0xccb73d6f, 0x6b8dceba,
+    0x1f84ee60, 0x7cd8ab62, 0x173c4754, 0xa70d5666, 0x6ee6d3ac, 0xb9383cfc, 0x3146c774, 0x3c2de6a7,
+    0x3195c53e, 0x348c0152, 0x02ed2592, 0xeb5030c6, 0xfc2eb1d3, 0x4c4e2ae0, 0x87ebe271, 0xff35780b,
+    0x700ab29a, 0x24a18cad, 0x7acffa23, 0x51af92c8, 0xfa8ac7f1, 0xa7c52008, 0x1399082c, 0x69c0e629,
+    0x1cca3955, 0x2c33f752, 0x176c663a, 0xa8fdce4a, 0x6d425522, 0x7c384aaa, 0xf73901ce, 0xa804b3d9,
+    0x443b6fcb, 0x36c208fb, 0x2b36a140, 0x401a73d0, 0x1626cc7e, 0x5f40eae6, 0x99b58991, 0x2bad9dc1,
+    0x80333697, 0x0dde80bb, 0x9a9c6e60, 0x5243b19b, 0xb877077b, 0x86bc7733, 0xe006cd3d, 0x094dd4fd,
+    0x83d01ee9, 0xac0b609b, 0x3cea5d25, 0x65181f44, 0xdcc88d72, 0xa0dfc678, 0x3a7addce, 0x83ce8c11,
+    0x870669bc, 0x084bf79e, 0xfd779071, 0x1565c742, 0x672d5f0b, 0x4d000bc1, 0xbd62c76d, 0x8d0f05b3,
+    0x4c20c806, 0xfd4e73c4, 0x0f64e2f8, 0x2473af84, 0x5bad91d7, 0x67c3d082, 0x434249ba, 0xdd0090b9,
+    0xd1587440, 0x84158c73, 0x3998021f, 0x77a82ac6, 0x2871ff11, 0xfc5176c0, 0x332765bc, 0x0701f156,
+    0xca793e0b, 0x486ba79a, 0x7a62c50d, 0xc5641579, 0xd66e64de, 0x2860dcdf, 0x624fd6e8, 0xcdf47bde,
+    0xd9cbf0e0, 0x738c60a0, 0xe677a38e, 0xc48b2c3c, 0xd0a0c819, 0x1e325b47, 0xbd2b1227, 0x119d9d44,
+    0xdced003d, 0x2b994fb3, 0x318b1f3b, 0xd945de96, 0x72ee62a4, 0x93569f79, 0x754fd136, 0x33a2e035,
+    0xd324bf4e, 0x1cbe8fdb, 0x28cc4eaf, 0x1fbec07d, 0x067954f7, 0xd3771fc8, 0x63311424, 0x8179260e,
+    0xc089c5c5, 0x1e5e0b4f, 0xd8d84331, 0x75caed3f, 0x3ad059d8, 0x3687ed30, 0xe49c5536, 0x68f1d6c6,
+    0xb6c2300b, 0x3c20ec1e, 0xc6c8cf89, 0x4af78e8c, 0x9d44961e, 0x26b91e2e, 0x243fcea9, 0xa4e663f0,
+    0x3b0fa1a8, 0x45f31170, 0x2e20f24d, 0xc5c70044, 0xed36e816, 0x60c2d539, 0x2ca99a39, 0xa7d04a66,
+    0xc83ba1c8, 0xe98340fd, 0x64b1853f, 0x1af96f29, 0x020902ef, 0xc6b877dc, 0x74ba1482, 0xf15479c8,
+    0x35931c70, 0x10d5c157, 0x6736d1e0, 0x11255ac3, 0x45f0ce70, 0xb30d2bed, 0x11b15174, 0x6fd3cb74,
+    0x6d126fb9, 0x42f7d402, 0xbcf541dd, 0x599f5bd4, 0x0ca587b7, 0xed4e8736, 0xc1f9b632, 0xd21dbb0c,
+    0xb42ae6fd, 0xdf57da41, 0x6fe2f5d1, 0x6633fd6c, 0x694a1606, 0x5366c4b0, 0x1521b1d4, 0xc7f23b33,
+    0xb209277b, 0x70dc1367, 0xf8089d05, 0x4900a598, 0x994468c5, 0x78751b3e, 0x827ca86e, 0x7f63eafe,
+    0x686c93f0, 0xc0a6c257, 0xc114ec52, 0xac8a4a0a, 0x8955ba10, 0xb76d3772, 0xfd6551aa, 0xd33979f4,
+    0x07e4a67e, 0xec65ef71, 0x93b67172, 0x4f0f001e, 0x2c4ff57f, 0x962b6c75, 0x3a5e1386, 0x05e9157b,
+    0x910f2779, 0x30493392, 0xb81f121a, 0xd447abf1, 0xd399133e, 0x0fcc6de1, 0xeaa5cc52, 0x368c9397,
+    0xdcec6555, 0x1946831e, 0xeeee0677, 0x4e61fba0, 0x0cc23c06, 0x731aaf70, 0x5915d269, 0x799c9b1a,
+    0xb03516d4, 0x78dc679a, 0x8ee8ba02, 0x67183aeb, 0xb8aa52cd, 0xe1511100, 0xc94f8bfb, 0xb2215078,
+    0x6d0df246, 0xaa54b20e, 0x058abab7, 0xb0f9365b, 0x862e56bd, 0x828987f1, 0x8dd6c5bf, 0xa65c6dbd,
+    0x099b474a, 0x5276c7ea, 0xb16db7c1, 0xd7fd1e59, 0xd4a3a0a5, 0x062d56b6, 0xeca13033, 0x49c27a69,
+    0x68a387d9, 0xa20097e3, 0x7fca96d0, 0x2e392842, 0xa2487406, 0x90bccbb0, 0x7de00373, 0x5fde77ca,
+    0xa9d29a79, 0xc4c58bca, 0xd59354c4, 0x77d1bff6, 0x57f443c7, 0x6c84585f, 0x6139c829, 0x2cea0fa7,
+    0xde415ac0, 0x915fdea1, 0x6c0302a5, 0x175b72d9, 0x3eb96fae, 0x629256c9, 0x89c0552e, 0x9e045a65,
+    0x11ed76ab, 0x3ca6584d, 0x5d08218c, 0x569fdf31, 0x65d19a3c, 0x6770d7df, 0x8ff12805, 0x305fb60d,
+    0x567bbcf4, 0x123bebb7, 0x28866a05, 0x9b9714bf, 0x7f55e26c, 0x14fdde14, 0x0eae885c, 0xd90fdb00,
+    0xbea2add1, 0x11305747, 0xea8b4659, 0x72e7af2c, 0x4d93046a, 0xdbd67408, 0x7fc10bb3, 0x8d313177,
+    0xe64588a0, 0x93a6da30, 0x3fe80c0a, 0x131ec211, 0x673e1b9a, 0x3fee9f78, 0x130e702c, 0x52ed1e92,
+    0xb25f1ce1, 0x1500f641, 0x9cb533da, 0x15df9d77, 0x20852a5e, 0x9dd1ff08, 0x4d694e0c, 0x8b5db3ee,
+    0xe136608d, 0x7f9adcea, 0x37759d7f, 0xa57fb123, 0x0c76b830, 0x6f22de19, 0x2c79c42b, 0x7c88b57d,
+    0x2e10285d, 0x0e92919a, 0xf734ee08, 0x573cd930, 0x0ff52373, 0x072e5948, 0x60ce44e6, 0xc51c11fe,
+    0x6d1e5f99, 0xce217fc8, 0x93332b47, 0x3ce34910, 0x4d8bbe26, 0xbfc4c7d2, 0x6b7d083b, 0xf8d8763d,
+    0xbfb108bc, 0x025e6ca9, 0x3b2c7634, 0x95288316, 0x519b7a5c, 0x629718f0, 0x3d9626eb, 0x8b89a151,
+    0xd616591b, 0x8c7790a5, 0x7295e441, 0x04901ff0, 0x992d1c45, 0x09d6e777, 0xd87866d4, 0x2acc2fe8,
+    0x0baa2342, 0x2e6c19a3, 0xf70fca53, 0x3b2e5efe, 0xe6b6de70, 0xdaddbeb1, 0x3842d1d4, 0xcb10c970,
+    0x55479d98, 0xf1bac153, 0x79987011, 0x8caf6da2, 0x427badc4, 0xa925a07d, 0x3a660b43, 0x9a663f7c,
+    0xb58130af, 0xe585d116, 0x401a815a, 0x9dcc7d81, 0x19fce785, 0xc66be77f, 0x143e63c7, 0xb3b3e344,
+    0xdd6ac748, 0xa2718dfa, 0x0e3e0686, 0xe5b34010, 0x91d77686, 0x96a11a24, 0xd433360e, 0xb5504cab,
+    0xcffc7394, 0x3172c4e2, 0x11072a60, 0xab7ffa6e, 0x9f4a3faa, 0x6585b379, 0x098ce6f3, 0x9e1d9b83,
+    0x7c130fd8, 0xb6e406bd, 0x54ceb865, 0xb1cac4a5, 0x2669c4f9, 0x8ab75da0, 0x5e399084, 0x2dfaefbe,
+    0xf8ad2ec5, 0xf30323da, 0x811f3ead, 0xfc5b8722, 0xe47e6c8b, 0xbd18ff84, 0xa2005fb7, 0xcb58fbe3,
+    0x20a47ee3, 0x2c873efd, 0x1c6f81ea, 0x70e5bc0c, 0x987b8f25, 0xeaa06ee6, 0x6499b77a, 0xd99a146d,
+    0xd4a4d47f, 0xd95866ab, 0x04de176e, 0x43cdceb6, 0x3e7951d8, 0x9f1d3230, 0x52bb8307, 0x8d899a96,
+    0xef93160c, 0x7bc43fae, 0xaf641d59, 0x72b3eb28, 0x0a4bca98, 0x53555276, 0x20ce2390, 0xe8aad77c,
+    0xa3e5ed3b, 0xc741dc18, 0x4e705f2f, 0x2d5c8068, 0xffb7c1d5, 0xf9870a53, 0xd71a3e0f, 0xeaae4e2f,
+    0xa9d72dd3, 0x08ec50b1, 0x1fecca11, 0xad8a1df7, 0xc5150043, 0xe9358957, 0xbd74849e, 0x4fb6cac8,
+    0xe6d58001, 0xbed599f9, 0x5ec762cc, 0xa621aa18, 0x90682a59, 0x0dde8df5, 0xbd06d124, 0xd4bb0cf5,
+    0x0b3f926b, 0xff4cb18b, 0x79cbb52d, 0x70ac1bbb, 0x06886e82, 0xda6675d1, 0x14540d25, 0x9133f1d2,
+    0x59bbae95, 0x7c9b717e, 0x81b8e6a5, 0x013babb2, 0x07b18f41, 0xdefb7884, 0x42aadc9b, 0xdb908107,
+    0x337c7f99, 0x1750e18e, 0x7643eb28, 0xd76dd417, 0xc6539747, 0x9b2a7d78, 0xb52e42a7, 0x000f707c,
+    0x1d313d9e, 0x5fee0327, 0xf2bff238, 0xa00ae42c, 0xaf915fdc, 0x48d24f28, 0x66186799, 0x4183245f,
+    0x4ff8113f, 0x35ef3641, 0x92f37a19, 0x7cad1f82, 0x4b163f76, 0x9523c53e, 0x51b86968, 0x021ed05c,
+    0x545e705d, 0x2d8bbc0f, 0xec292c4b, 0x9125d10a, 0xaaaf5597, 0x44089180, 0x9bda9e78, 0xc051e7ca,
+    0x5ccbeb81, 0xc3ef4e2d, 0x17a3a614, 0xfa97fa62, 0x70721d8b, 0xfef4b769, 0xbf4bb20a, 0xa754d171,
+    0x8f32d840, 0x6ec9056d, 0x542e4e31, 0x87cd42a2, 0x393ee9cc, 0x7e96f2eb, 0x4344e314, 0xc54de622,
+    0x239f8623, 0xfe25571d, 0xb8b68c38, 0x48ee1400, 0xb852967b, 0x1cd4ce0f, 0x6a988c1e, 0xa39685b4,
+    0xa307f3f1, 0x25a4108e, 0xa88e39de, 0x0ab9115a, 0x93704642, 0x68a685df, 0xf3ed4185, 0x28c5220a,
+    0xc5b937f6, 0x553c8808, 0xa883c109, 0xcb16cc29, 0x5a625108, 0xd00277de, 0x43728de1, 0x10d3da3b,
+    0xfa7e2c54, 0x7bf4c929, 0x89acbf89, 0xc96563ad, 0x95e24b0f, 0x0791d037, 0x4dc91729, 0xd57c1b08,
+    0x62c2e13f, 0xbea2109d, 0xe0716682, 0xe823e0ef, 0xd058206a, 0x1a6fae0b, 0xb6c3e259, 0x16a5cc81,
+    0xfc612f91, 0xca6a627f, 0x3a45b007, 0xb6c5f9b4, 0x4a277879, 0xe72f986a, 0x3762c86c, 0x13a95b95,
+    0xc337b1de, 0xa525acb2, 0x9e426d19, 0x22893cbf, 0xbab7d1ee, 0xc71a1215, 0x24506e5a, 0xef2b54b2,
+    0x358a690f, 0x69c4ea85, 0x52627992, 0x9f4cec13, 0x51c0c8ff, 0x9403142e, 0x15a5e81f, 0x9fde6e39,
+    0xcf5641b2, 0x7d741808, 0x737387d5, 0x999db41a, 0x86877271, 0xea5277ef, 0x2fdb8e7a, 0x4618f9ae,
+    0x549eb4b6, 0xb7e650dd, 0x0a5f990c, 0x1c283946, 0x23f8f8c6, 0x9a167523, 0x70d798a5, 0xfbf5484f,
+    0xa10c3bb1, 0xdca40156, 0x8190f628, 0xc9546a9d, 0x3a78b322, 0x093882ee, 0xd162705a, 0x24f464c8,
+    0x010da96a, 0xa42e690b, 0xf540dedb, 0x25ee9ea9, 0x2f5f9e54, 0xeb3102bb, 0x0a7f3b15, 0x4c065422,
+    0xa0ddb942, 0xef774eb4, 0xf3a45b5c, 0xb55c43fb, 0x01c94903, 0x4851dc8a, 0x443afa68, 0xa05f377b,
+    0x6bf456c3, 0xef5fdd37, 0xc8c2a754, 0xac89b5c7, 0x15858490, 0x9b744c4f, 0x5e73b2e6, 0x775339d2,
+    0x1ec4fcf5, 0x532240ef, 0x285c5bf9, 0xc006bded, 0x6f7ca1a3, 0x84ee9607, 0x71525b3c, 0x108dad7e,
+    0x1445adc8, 0xef4a2c76, 0x534f1654, 0x4f21b28c, 0x1f062fb3, 0x8a966d7f, 0x5a647583, 0x95c49ebd,
+    0xdc3acf67, 0x7ec4c023, 0xce383b86, 0x285b034b, 0x4cddd1ed, 0xa4eae0dd, 0x64e88617, 0xb185994c,
+    0x8ccf74fe, 0x694a30d5, 0x07f3e1b8, 0x049d2fe4, 0x0fe554e1, 0xef291a73, 0x3c938c95, 0x335006c5,
+    0xbc912124, 0xc0955719, 0xc7937568, 0x3c059424, 0xf25dd527, 0x43fa9d57, 0x3ef1a706, 0x4e81aa1e,
+    0xa1880d70, 0x020aaaa3, 0x14329a60, 0x32cdcc63, 0x351f5a48, 0x4e52c0eb, 0xaf5399af, 0x4f7e0236,
+    0x7caf7f4e, 0xff193fa5, 0x0f293ce8, 0x97e4c8c3, 0x52214734, 0xc485eee9, 0x0b09dfa2, 0x87ad4bb5,
+    0xa9bd6a40, 0x451b472c, 0x5cee48a2, 0xeb644199, 0xf38bffe0, 0xacc0316c, 0x01f3fb95, 0xadffc7bd,
+    0x211773a9, 0x111fd6cb, 0xeafa4a7c, 0xb4b9ff7b, 0xc95dcd62, 0x4dbd4b79, 0xdbd4ca31, 0xcd9bd30b,
+    0xa837b7a6, 0x3c5ad5a1, 0xcc141124, 0x8166c7ec, 0x3513d5ad, 0x96d73463, 0x2349be44, 0x4f3af14b,
+    0x52ec31fc, 0xd8f50afa, 0x81130d41, 0xddd39e40, 0x82a1a239, 0x45d36096, 0x21008b0c, 0x5ab73f74,
+    0x84f7df70, 0x259d1afd, 0x734a3a8c, 0xd1b5a24b, 0x9cc13e4c, 0xf524b4d9, 0x8989c2e6, 0xc1301ca4,
+    0x00095e7a, 0x79e6e4d4, 0x0e22d04d, 0x15efeedc, 0x35820f8f, 0x815f324a, 0x42b93472, 0x891bc149,
+    0x00eaf01d, 0xfda43048, 0xbfcf907c, 0x5d302e18, 0x9d2d5215, 0xb457925a, 0xb745146d, 0xa1bfa04e,
+    0x9a2adf0c, 0x7c13fbe9, 0x0a44c32c, 0xa4c190ab, 0x69db7c6e, 0xb6f5769f, 0x2d591251, 0x90b72ff9,
+    0xb745df4b, 0xf5768d75, 0x92a1ebf5, 0x32f7e692, 0xcffbeec0, 0xef86c00c, 0x0c9c1475, 0x88b56385,
+    0xc1044cce, 0xaf395f4c, 0xd85cfcf8, 0x448b1a3e, 0xb1f7b550, 0xf4e8825d, 0xe81e3a97, 0xc9291acf,
+    0xecb52a9b, 0x7a64d590, 0xfe823cb2, 0x1bbca6f9, 0x045f83d8, 0x37f20675, 0x2b91f7ec, 0x3b080408,
+    0x2d733132, 0x955d6a66, 0xef539749, 0x08785a62, 0x61e9b594, 0x84005d4b, 0x10b872de, 0xc0aa6501,
+    0xce6e1639, 0x1c750dc7, 0xd5d9ba9d, 0x857eea7e, 0xc6903394, 0x8721d830, 0xc3f181a6, 0x73c5f011,
+    0x6449e73d, 0xd1701ffa, 0x253f5a75, 0x5fdeb4e0, 0x5893365a, 0x16348cf0, 0x33b0538f, 0xfc151d00,
+    0x2151521c, 0x6d7ce44e, 0xa614b6f2, 0xf1a264ef, 0x946b7208, 0x3a216e48, 0xf2724d0e, 0xb42ebd93,
+    0x057271f0, 0x52bb3b60, 0x4a9d1d3a, 0xb257f54c, 0x83803d5f, 0x40eddf66, 0x235f6ecd, 0x2d758868,
+    0x140bab4b, 0xe7412d6d, 0xb09760b9, 0xbf77a541, 0x17e839df, 0x37ff7ed8, 0x12a4e273, 0x41d8ad85,
+    0x64a3d8e9, 0xf681e8c2, 0x557ae5e1, 0xcdbface7, 0x6c5d0771, 0xef308f98, 0x720d619a, 0xba4c728a,
+    0x3da81b4a, 0xa58ffe26, 0x6ac3e233, 0xb6f84104, 0xb528fe9a, 0xf81b244c, 0xfb2e5d9d, 0x58286717,
+    0x07f2e234, 0x1046def9, 0xce7597aa, 0x421971f2, 0x6ef4833b, 0x179a5011, 0x9291980e, 0xf570589d,
+    0xf4c00b89, 0xf4c47dda, 0xa115256d, 0x1129c899, 0x10a704e4, 0xd8e4553a, 0x1bda3273, 0x69fd27f3,
+    0x1c789896, 0x6adc6f3a, 0x340f8c94, 0x7f4d5f6f, 0xc8887a30, 0x065d0613, 0xd058fc3c, 0x159cfcad,
+    0x51a0b57e, 0x2126a910, 0xfa8fab3d, 0xdeba10bd, 0x2c02de71, 0xe7e7a4ae, 0xc0ca62ef, 0xd29fb371,
+    0x00000000 }, /* 10**-00000000000000000000000000054153704963297165226140902034044603582742911628433\
+                          91748379842930887932241807862544999950011922147613471467208908991351228465152 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072,
+    0x1314ac5b, 0x9254dfdf, 0x461e98be, 0x66bc0858, 0x8ab83170, 0x76d05527, 0x14bd0a7a, 0xf2846dfd,
+    0x00000000,
+    0xc8efba03, 0x93c98c78, 0xe06da54e, 0xbec171e1, 0xddfb8667, 0x0e568962, 0xf4684bd2, 0x352160a8,
+    0x3bd69e72, 0xcc6c370c, 0x0b6ce60c, 0x7b99e619, 0x4f878a14, 0x92677b7a, 0x05f70164, 0x94284ad5,
+    0x41809c80, 0x2bcf445f, 0x6106eae9, 0x2338802e, 0xc7e9a745, 0x668e7343, 0x3528b1e4, 0x33eaa8fc,
+    0x85a678dd, 0x2e979c8b, 0x5f45e846, 0xd523297f, 0xe5136585, 0xe37b1660, 0x0248cf1f, 0xd0ef79c4,
+    0x8fe3d6a0, 0x875eebf5, 0xf9efbc2d, 0x2f24d3eb, 0xd1d5e615, 0x9f63c2bf, 0x3596f9e7, 0x833cd503,
+    0x18bf4ec8, 0x02128ec7, 0xc6189c9c, 0xd384cfb7, 0xd496c218, 0x920e434c, 0x33d874d0, 0xc76ca13e,
+    0xf0e39a00, 0x6f0bc410, 0xda21eea5, 0x6aa5e982, 0x6c9ddd5c, 0xb90bd73d, 0x443d2445, 0xb11adc09,
+    0xfc3168cc, 0x6d1d1967, 0x377d5b43, 0xb392bdce, 0x31f983ba, 0x7be64d84, 0x41fbb360, 0x26ca61be,
+    0x1656b115, 0xc9656a2f, 0x3eb43d50, 0x8257ac0e, 0x28dc8a74, 0x8223e6aa, 0x278029e8, 0x5b90ef43,
+    0x7b28c07f, 0x83ef8c61, 0x64065bea, 0xe4ec2067, 0xb3c8284d, 0x833b150f, 0x4bd148ec, 0xabea71ef,
+    0x83a0db42, 0xeaef7782, 0x5ea35336, 0xc4d6d1c8, 0x958d62f5, 0x0aa9933a, 0xdb30fdd9, 0x27181a84,
+    0xf9e687f6, 0xb8375ebc, 0x55b2f638, 0x3713fd57, 0x46e32076, 0x42342657, 0xf79c3a9d, 0xbec2d5cb,
+    0x0f0d997d, 0x531fe022, 0xb4393a85, 0x4adfea5a, 0x9fb9e245, 0xbb5eb1d0, 0xab2e4460, 0xb910badb,
+    0x53363a4e, 0x50d078d4, 0xa4518ca3, 0x3d9763fd, 0x76ade484, 0x82a9cc64, 0x8580479a, 0xdb7d955e,
+    0x291f6357, 0xb856d25e, 0x18a59a79, 0xb91942ee, 0x26372732, 0x2f72c13f, 0x6629a59c, 0xa019b7d9,
+    0x7ee7e476, 0x7dd24be8, 0x1bbe773a, 0x48cee029, 0xc2406513, 0xadb09ce1, 0x7329d078, 0x2c414fe9,
+    0x3f3d9ce6, 0x2fe5ef9e, 0x089aa4f6, 0xfbbf9a15, 0x8963a9ad, 0xcc381e50, 0x1d3f1897, 0xe9aa24e3,
+    0xfd0f13d0, 0x3ca5c857, 0x34b8babb, 0x4494d80c, 0xc8c699ce, 0xf57425a8, 0xeb0243ae, 0x17705a4d,
+    0x6203ace4, 0xa363d0ee, 0x3e84fa63, 0x801efa3b, 0x0dae4f0b, 0x5a7d39dc, 0x66e53c74, 0xbf68f8f9,
+    0x1863294c, 0x49b03463, 0x51d439d1, 0xf70fa8a7, 0xb0263ab4, 0x77d8f053, 0x640ba4fb, 0x99a5c691,
+    0x847dc183, 0xef2ccaf3, 0x89157beb, 0xa6deaeac, 0xe52f6864, 0x45e7c652, 0x571b2198, 0x9ec3b99d,
+    0x6f95113f, 0x871a9a08, 0x461c0f98, 0xbe9a9886, 0x02ccbe88, 0x97a01e12, 0xb1281d89, 0xe4e5863d,
+    0xf6cac183, 0xa78d63fb, 0xe16da38d, 0xddf60b70, 0x79b67741, 0x24306f0b, 0xda499c02, 0xc7336dd6,
+    0xd57c5a63, 0x086eba6b, 0xfd66930b, 0xc147b49b, 0x02e77192, 0x54fd05d3, 0xbffc39b2, 0xc587a0fe,
+    0x38bef966, 0x7993548a, 0x4f235934, 0xc021eb79, 0x648c78ba, 0x4633aa57, 0x28f00a48, 0x390bd347,
+    0xa1b7452a, 0x1b16de9f, 0x1068b435, 0x80fc7fac, 0xebb05813, 0x782ae33c, 0xecfeec2b, 0xa21e79f5,
+    0xd4aaf274, 0xa59313bc, 0xc49fa5de, 0x132419c2, 0xf1db16c4, 0xc8040ad3, 0xad892b0c, 0xc439132d,
+    0xe9bacf3d, 0x47ff53ba, 0x0299529c, 0x5c7d14c4, 0xd6dde955, 0xcd7c2255, 0xaa8a4092, 0xeb12f899,
+    0x3feee82c, 0x5e04ec05, 0xa4688c48, 0x14b689c9, 0xbdf02218, 0x979ebead, 0x09698aca, 0x08caed8b,
+    0xf08d555c, 0xd0743d42, 0x1d0e036d, 0x0d0286bf, 0x4988cd63, 0x0303495a, 0x8dc45383, 0xbaf74211,
+    0xa2fa0a62, 0x7588513a, 0x4901a75b, 0x8173cb67, 0xd46fd6e5, 0xacdadc5f, 0x1f11aa22, 0x70ab7eb9,
+    0xdb865743, 0x1a62ef7c, 0xb7611d10, 0xc643ea4d, 0x7cc8cdd4, 0xea2ccf24, 0xab237c2f, 0x4a55a857,
+    0x0bf1a5b2, 0xdfb7efcc, 0x6e0fd7cb, 0x144d7e05, 0x9924a0fc, 0xfc000e5a, 0xfab38ae7, 0xd17ff9c5,
+    0xc2150c6b, 0x60cba46d, 0x4b42d009, 0xd230741a, 0x8c51c25c, 0xc52fe6b7, 0x967311a5, 0x56527602,
+    0x44fc2b75, 0x0dfff1af, 0x024af981, 0xd2e2ecd7, 0xbef6f5da, 0x3011b367, 0xcc1636e5, 0x46411714,
+    0x23dc3080, 0x631578e5, 0x5bc8d9be, 0xab348a7a, 0x155b831d, 0xd67f90f3, 0x56a3c87c, 0xc83cd675,
+    0xcbc4e98b, 0x8af95e1b, 0xa0e7e630, 0x4495ab10, 0x5833daa8, 0x7889681f, 0xbed2f4ca, 0x41599a48,
+    0x92ddcbe4, 0xf427b676, 0x76d53e6d, 0xafce8985, 0x74e91f5b, 0xa7745634, 0xca7f7fa8, 0x87f25927,
+    0x461f5b6c, 0x3341e82a, 0x793502c0, 0x550a5b62, 0x7ef35e89, 0x70216c68, 0x26e26004, 0x8afc081e,
+    0xc1fb03c2, 0x8f809608, 0xad50795b, 0xd1651a00, 0xa09c0204, 0xfba5e176, 0x8d1da7b4, 0xe313d32c,
+    0xc793677d, 0xaa9b7ef0, 0x0046b67e, 0x5fa61bda, 0xc1dcae44, 0x29a272de, 0x4a1f6384, 0x5223b1f6,
+    0x1bd3f549, 0x9bc83650, 0x190aaa0f, 0x3659417c, 0x5b80853e, 0x9360adb8, 0x9dfc8e8e, 0x0c54c7a1,
+    0xd05e9be1, 0x155e3c6d, 0xf40f8230, 0x4e26e3b9, 0x4b4768f2, 0x7271b056, 0xc175bdd9, 0x2060499d,
+    0x0cb266c7, 0x4dc90e8e, 0xc5497521, 0x86e94197, 0x5372fe4e, 0x6fe43698, 0xa00c6245, 0x1d27b058,
+    0x8a6394cc, 0x344a0e78, 0xc6b65c01, 0x1e5fbc6e, 0xfb1f24a2, 0x791b8a04, 0x49382d8a, 0x56961310,
+    0xac1e1727, 0x28f1b0f4, 0x9de82b57, 0xc1f73a72, 0x3f96d945, 0x95554b31, 0xcebe7ddc, 0x7711de2e,
+    0x0208bc1c, 0x118a63a0, 0x11cb7d37, 0xe3bcb852, 0x574312db, 0xeea22802, 0xfa29d1a6, 0x54ff99ad,
+    0x2a25ad23, 0xd00e84e1, 0xeeb02d43, 0xc5428c9f, 0x1c4a42c6, 0x0bdbfaa4, 0x0fb60bc5, 0x78c891f2,
+    0xcf9fcf0b, 0x3cba11ec, 0xb56d316f, 0xf6b6229f, 0xa38cab5a, 0x7896e049, 0x23cf7c09, 0x55c11f7d,
+    0x6c825020, 0xb0a2d409, 0xb1741ed3, 0xa53da757, 0x7662f511, 0xeb94c68e, 0xcbfdbac5, 0x00e856a6,
+    0xfea7b85b, 0x9a7937ee, 0x4deb4021, 0x7da4320a, 0xc87d1394, 0x8444961c, 0xd4e0589e, 0x99a7e023,
+    0x9ace34be, 0x58f5fdae, 0x44b52db8, 0x9f9adf8a, 0x1bab1880, 0x9dacd96b, 0x0627ace6, 0x571be806,
+    0x63173166, 0xbdd61f4f, 0x4e022946, 0x760115ec, 0x45c36210, 0x1200c19f, 0x664b92d6, 0x214d2f11,
+    0x5d18abc8, 0x8dd98e46, 0xdb33ccd7, 0xdb591345, 0xe14efe88, 0x1e424eb5, 0xcc612f63, 0x9a99232c,
+    0x5c4787d5, 0x9c344279, 0xdad89c59, 0xe9bc05ee, 0xd5aa17ab, 0x05d5e309, 0x9bed6660, 0x0a0dde41,
+    0x47dd4902, 0x0bdc74a8, 0x6b48e2ca, 0xe22c3584, 0x0ad62738, 0xde744653, 0xefd4fe7a, 0xe7423400,
+    0x983af311, 0xd7f9a52b, 0x907a1ab6, 0x9a3e1af4, 0xc3649be7, 0xa3eb3d1a, 0x7ba585aa, 0x25adad0b,
+    0x7f547f57, 0x560e24e6, 0x82424283, 0x74a9878d, 0x6d695a0e, 0x5fdc2d60, 0x1c7817d5, 0x2527048a,
+    0x6f2b12b2, 0x5dcb89e8, 0x750b7a52, 0x0945281c, 0x89c9df7b, 0x04492563, 0x57ab9369, 0x2236031a,
+    0x97df58e9, 0x7c2e0624, 0x6f5d2c4c, 0x0e18a9dd, 0xcb809c5d, 0x85f41f3d, 0xa4f03606, 0xa6b72a79,
+    0x581ddab4, 0x0f3e2fc6, 0x867581f6, 0x46a4dd95, 0xf24eeb5f, 0x9761f5f5, 0x9eaded79, 0xfcd675cd,
+    0x61a7eb2d, 0x24a6ea26, 0x1b35d8c8, 0x7bdf578d, 0xfbc4d9d0, 0xb5adedd5, 0x7b1b69c1, 0x4a5fc855,
+    0xf83dc09a, 0xa87582c7, 0xcad2ecad, 0x03c433bb, 0x008c1f21, 0xec93511d, 0x265e6f87, 0x13e4b78b,
+    0x199e1719, 0xcffce7b3, 0xe29704ff, 0x2bee5e37, 0x3904a7ab, 0xfafb2fcd, 0x489a53af, 0xfb058bdd,
+    0xbd1cb4c5, 0x789d50c1, 0xb977e8c1, 0xa068fe70, 0xe672cbd7, 0xe941c485, 0xb73f8a5c, 0x5fcef063,
+    0x51315c3f, 0xc355daaa, 0xeefbc462, 0x73bf9c47, 0xded48f73, 0x4a27258e, 0x4a9b2c1a, 0x692a0e94,
+    0x384ee767, 0xd8e848dc, 0x74c145de, 0xc59532f4, 0x1a41fe54, 0x90322f83, 0x19a3150e, 0x02b821c6,
+    0xa7dd9398, 0x45e334b2, 0xbaa1937b, 0x9c88b136, 0x37e1529f, 0x8540b49e, 0x0da0c399, 0x312b3e17,
+    0x7c367f50, 0xa3586bc6, 0x894dee3f, 0xd9a29665, 0xac91b7cc, 0x859fc781, 0xe385c2ed, 0xc0e79484,
+    0x8e7b36ed, 0xc99b670e, 0x63c6acfb, 0x347eaeac, 0xe7164359, 0x9d9158aa, 0xe82ed8c1, 0xd5959cc8,
+    0x490639be, 0x98ea4d7c, 0x97a035e2, 0x00593a11, 0xe8fabd11, 0xde3ea9c1, 0x9fa93121, 0xe274c3d5,
+    0xc5d507a6, 0x84e0e08b, 0xd61372fb, 0xa6cb0285, 0xe553b637, 0x3afce7a3, 0x0803f23b, 0x5e770699,
+    0x3003e546, 0xeaefc461, 0xf3ac21fb, 0xfa40cba9, 0x244f0d24, 0x072f4a6c, 0x5d13f929, 0x9305c78f,
+    0xe4fa2ec9, 0x00475c42, 0x041ab310, 0x58960e00, 0xd3d92390, 0x9876417e, 0x9cb81abc, 0x06322098,
+    0x3bd91f4d, 0x15a77117, 0x9a4965ea, 0xc33a39fb, 0xfc81821a, 0x2795599a, 0xac1891ac, 0x1015bfa3,
+    0xbdfdb9b2, 0x8359e551, 0x52ab8734, 0xd7f8f4d5, 0x2e6613b4, 0x7162e307, 0x36bac8aa, 0x2b4e32d8,
+    0x6098aa8d, 0xc2cf5939, 0xdd8ac48e, 0x10555dac, 0xcb09c291, 0x87777d7d, 0x1314aa11, 0xead86392,
+    0xc31aa786, 0x71ac3c5d, 0x108ad8f2, 0xb338d394, 0x76f65cc2, 0xfb75f7a8, 0x57d49132, 0x03d8b296,
+    0x91451de6, 0x5ebcb098, 0xd0af168e, 0xab286e1b, 0x169a4c51, 0xb3894c6e, 0xd34261b8, 0x1f101967,
+    0xd800a2f6, 0x2f243396, 0xe5f85423, 0x6d830a72, 0x897abdab, 0x2e004865, 0x8ce917df, 0x7cece8b5,
+    0x4d470ea8, 0x3c5dc121, 0x27f71c8b, 0x22473aa1, 0x2da0c5d8, 0x188f85f4, 0x3eaac857, 0x8c6aca56,
+    0x0e019006, 0x4d42e1d3, 0x5addc597, 0x9070818e, 0xf0ac358e, 0x8c0ebf78, 0x6949fd19, 0x8ea345b5,
+    0xadddea2d, 0x9535611c, 0x878eba57, 0xce39e813, 0x78107324, 0xa2a19a8a, 0x62876dc1, 0x9d8ec2e2,
+    0x9ec9c743, 0xe2e8e6b5, 0x4b7e50a9, 0x45475612, 0x8c7fbf57, 0xe63bb53c, 0x00d572bc, 0x74f01e2a,
+    0x29a7798d, 0x538ea500, 0xef0b0d83, 0xc0726862, 0x7ca40ca9, 0x6236622d, 0x8fdb473e, 0x713f49ff,
+    0x7a386903, 0xb1c90ab6, 0x9b6e8867, 0x24ea4d5a, 0x8e36fc93, 0xb8bdcdf4, 0x316a1ee0, 0xb7098642,
+    0x5f45d15a, 0x67631f19, 0x809b1a91, 0xcc339d18, 0x729c0b18, 0x3f38b0cd, 0xaa325984, 0x00656f66,
+    0x8e98fe91, 0x9423e157, 0xc6ee40ec, 0x2dc44d91, 0x9a735151, 0xb5e9188d, 0xb8d23484, 0xcb178255,
+    0x3e1daedd, 0xb6db8209, 0x4b436a4b, 0xeb2ae646, 0x2c68b08d, 0x11b98298, 0x47fba55b, 0xe23ee017,
+    0x1d3b8b15, 0x991377a1, 0xa21eb979, 0xfc648058, 0x0b38c851, 0x77a88bdd, 0x0f311c52, 0xfb794886,
+    0x7fb87e08, 0x90b38c91, 0x80727956, 0xf889e327, 0x2ed1a51c, 0x7ee20e47, 0xb4d01b40, 0xfdbc7445,
+    0x669551d0, 0x19b6ed96, 0x93e31a46, 0x914c076b, 0x5535d031, 0x9004b834, 0x95bc5be5, 0x043d59a1,
+    0x48f77757, 0x0763d6b4, 0xe16cfded, 0x95eb2541, 0x1bac798d, 0x67f6acc6, 0xb144bfe0, 0x970c083a,
+    0x0c5b6305, 0x8bf85368, 0xfd58da94, 0xcc7ad186, 0xd87d9b2a, 0xa3fcf2f3, 0x0edbcf22, 0x25bc25f2,
+    0x0799f894, 0xa1060356, 0x10ab9666, 0x00846718, 0x765d9a3c, 0x7ccfda6f, 0x841df26d, 0x7a333db9,
+    0xb3330628, 0x77ab352e, 0xca6047a4, 0x5c96986c, 0x5c23b760, 0x07f72080, 0xaa6d071e, 0x95370408,
+    0x66a5b118, 0x4fe46285, 0xc6685316, 0xfc13e568, 0xa278ce16, 0x7d2ebfae, 0x78246600, 0x3090f222,
+    0xc0731662, 0x2dec34e2, 0x5b543e07, 0x16e68ca8, 0xaab8ff73, 0x217f2e5e, 0xb99e39ce, 0x025a6599,
+    0x1045cb22, 0x9ff979ea, 0x43a7ef11, 0x156a3c31, 0x4e295620, 0xef2c0cf0, 0x9f611308, 0x649a9c6d,
+    0xbb854db4, 0x1e4f8328, 0x4898cdf6, 0xb6d06740, 0x153c703c, 0xb1ab8c6b, 0x8af3f543, 0x89fc80d0,
+    0xfc3806ff, 0x322e3581, 0x530f1d54, 0xbabff81f, 0xd1a6ce38, 0x51bc2736, 0x467412fc, 0x065c0023,
+    0x23f907ed, 0xa83a4e85, 0xff7a524d, 0x55503f65, 0x10c25d97, 0xeec74a55, 0x240e7c3f, 0x004287c1,
+    0x273826c6, 0x946ab2c6, 0xcea9784c, 0xa3b544ea, 0x5544dae3, 0x2bdc7432, 0x5dd28a21, 0x12c022d6,
+    0xb6c96d0b, 0x225f4891, 0xb8114054, 0xc65d87a5, 0xf8068877, 0xc5b663dd, 0x27988796, 0x64af75da,
+    0xe4115829, 0xbbfb94cf, 0x39222d6f, 0x47b0784c, 0x4d334d0c, 0x32ac941f, 0x1246e106, 0xa90aaf69,
+    0x14039236, 0x9a177b0b, 0x245ca10b, 0x3c81d8e6, 0x284588b9, 0x44182e2c, 0xc24fa2b1, 0xfadc2acb,
+    0xb9a639c5, 0xbbcb050d, 0xb97b31ef, 0x5c270e64, 0x51a09c04, 0x5ac883ca, 0x290b7c83, 0xe6839fb9,
+    0x5b13d2f8, 0x12eea8d8, 0xda21ca31, 0xf2660f6d, 0x51424a62, 0x3cd2e3a4, 0x62805975, 0x187d7c39,
+    0x2c990de6, 0xc0e37ded, 0xf3328f21, 0x2f76a7c7, 0x90a81923, 0x2749309c, 0xd832232b, 0xdb9132ba,
+    0x21ec2c9c, 0x24670d28, 0x67574573, 0xf8804798, 0x0e748697, 0x49d34816, 0x05f10b18, 0x350582e5,
+    0xccc52985, 0xcd2f6bef, 0xbdfb8147, 0x5b182c92, 0xdd387a96, 0xf56c118d, 0xd850d4d9, 0xcb393930,
+    0x5bd3ba99, 0x4f3ba1d4, 0x2925a482, 0xbeb1256e, 0x15996b24, 0x3058a7c7, 0xc86036ef, 0x5aa9da22,
+    0x8ad2e637, 0x042cfe8a, 0x1340f339, 0xd01e4595, 0x0836ca32, 0xabd61725, 0x5b108a8c, 0x5b18599b,
+    0x196d99ef, 0x50d8daf4, 0x947a4cc6, 0xadc738c5, 0x55f166f4, 0x6b883476, 0x329b0cda, 0xae7e5743,
+    0x9baa9b14, 0x63eceb49, 0xee85990c, 0x9dfb315f, 0x247dd254, 0x59ba8cc7, 0xa15fd8b7, 0x8dc967d4,
+    0xdff53705, 0x56d6e46d, 0xf9f5e023, 0x42791342, 0xb64101c3, 0x2f0f1611, 0x364aacad, 0x56cc7145,
+    0xa28afc99, 0x038e94ce, 0x6d34f1f6, 0x15e32999, 0xf4b65f45, 0x44ce1550, 0xeca6ba72, 0xc1325f0a,
+    0x6fb157fa, 0x15c0ca5f, 0x6e6cdebc, 0xf35d85ed, 0xb46e2a5b, 0xbd83cc25, 0x531313e0, 0x0f5ec870,
+    0xcc1215ce, 0xfd6db6fe, 0xc2ac14b9, 0x75cee81b, 0xb0901ca4, 0xcfd40b72, 0x2a92542d, 0x498594a0,
+    0x54070b06, 0x8e49d5f4, 0x63a009f7, 0x6d00ee42, 0x5ce80c22, 0x6adae521, 0x77770173, 0xef164510,
+    0x2dce5465, 0xa34d088f, 0xfeb66182, 0x54fb4551, 0xb9aabc79, 0x854379f4, 0x88535f0d, 0x1daaa75c,
+    0x185c2a68, 0x0f16f1af, 0xa88b4526, 0x821b146d, 0xe70777cb, 0x9e9b01f8, 0x4b4d1b59, 0xbf93e1d9,
+    0xbbc7e141, 0x110098ce, 0x868a16e5, 0x72d0b14d, 0x54b4bcbd, 0x863a21d6, 0x25f6ea0a, 0x863b416b,
+    0xa9d57c95, 0xd9840f8b, 0xc6bbb7d7, 0xaceb2a39, 0x4290eab5, 0x31338c52, 0x0bca887d, 0x13bf3a0b,
+    0x2c153fa0, 0x780f2fe7, 0xb83229df, 0x8c80cd18, 0xc52f36f5, 0x38654d5a, 0x4285eb51, 0x990a6233,
+    0x8b6d5229, 0x9d3d41e1, 0x217622a2, 0x164b58f0, 0x70c9586c, 0x1094a6b5, 0x54a77ef6, 0x4dd01c91,
+    0x00000000 }, /* 10**-00000000000000000000000000027076852481648582613070451017022301791371455814216\
+                          95874189921465443966120903931272499975005961073806735733604454495675614232576 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039,
+    0x098a562d, 0xc92a6fef, 0xa30f4c5f, 0x335e042c, 0x455c18b8, 0x3b682a93, 0x8a5e853d, 0x794236fe,
+    0x00000000,
+    0xa05fc756, 0x96ba89bb, 0xabc650ca, 0xa801cff5, 0xdf51d839, 0xcac88423, 0xd275a47d, 0x48f20c56,
+    0x2aae5343, 0x5c501d3d, 0xb87e2e73, 0xfdca537f, 0x7ad3ab7c, 0x8c6d7ed6, 0x2178b997, 0x43de1e18,
+    0xd82b0782, 0x26bf8524, 0x06f0a347, 0x6c83832f, 0xfd9fa3fe, 0x39e757f6, 0xef235ac9, 0x1812de62,
+    0x5d6a4111, 0xca5a97ae, 0x29914316, 0xf2a0d6b7, 0x4f6e6cd5, 0xf8fe64c2, 0x6fb754f4, 0x2cd91bad,
+    0xa6f20b9a, 0x30cf2550, 0x8c2476ea, 0x02d81d7a, 0x2c0bfed1, 0x31ddcf4b, 0x92cef803, 0x21dc8b32,
+    0x3f02bd6a, 0x303cd8ad, 0x5b46a446, 0xbf298640, 0x53694481, 0xe56c8fc2, 0x84ba64cd, 0x090b006d,
+    0xb2765890, 0x05c4bba9, 0x67a84de8, 0x55a43f55, 0x91658940, 0x5642c59a, 0x435cf4e0, 0x7526ce4a,
+    0xdbedec02, 0x6c72b449, 0x328e8b32, 0xbf3c697f, 0x03070fcd, 0xb4839308, 0xd5d1bb93, 0x892f51a8,
+    0xe6e78248, 0x79289bac, 0x4198e134, 0x5cba756e, 0x4034dd38, 0xa88bf99a, 0xe534dc8a, 0x4815adf5,
+    0xcf921ea9, 0xcb936c08, 0x1c7f3ebc, 0x0fc9943b, 0xee5bfb09, 0x714ebd8a, 0xdc035b20, 0xf478f0ec,
+    0x5a3b6873, 0x5955c093, 0x1df87187, 0x1bab7fff, 0x659d4219, 0x06510f8b, 0xe1fcb390, 0x59e13709,
+    0x2ac83935, 0x9ee46d66, 0x0e0304c8, 0x4f9720e4, 0xc9dd12a4, 0xe3e81cab, 0xcbc46db4, 0x2806d6a0,
+    0xe8f744f1, 0x0a015072, 0x87e99c6d, 0x684d3125, 0xdcfba554, 0x9c597692, 0x36040656, 0x07ced311,
+    0x6c699755, 0x815dcade, 0x0bc10446, 0xe2d38f39, 0x9a855abd, 0xdb0fbdfc, 0xf517ae45, 0x8b6e780f,
+    0x0fb7d58e, 0x7e6c19dc, 0x6594f52c, 0xe8017794, 0xe7e36e4e, 0x483a0143, 0x4c817b8c, 0xc3a70c54,
+    0x796930d0, 0x9a7f58f4, 0x3ef9ba58, 0xdc50fff6, 0x059fa1d9, 0x4965a2a3, 0x9e9c4b82, 0x8c21f7ab,
+    0xeff90090, 0xe7c975be, 0x8d98dc37, 0x811e514b, 0x4d021145, 0xbe8aa7e9, 0xae406dc5, 0x429e0ed7,
+    0xb6be4d15, 0x3cb02285, 0x0cc7b98c, 0x6a5e8df8, 0xc14f651a, 0xbd9da2e7, 0x74708737, 0x738e0e04,
+    0xd2aa4461, 0x93054181, 0x51601349, 0x6734de72, 0xa29bc517, 0x4cd0fa64, 0xb2d9e3db, 0xb5619db8,
+    0x8c5120b4, 0x08da856f, 0x0274e270, 0xa6c86366, 0x77da1aa6, 0xce40439f, 0xc9f5fe18, 0xf9bc888f,
+    0x633a8b52, 0xd3d81e15, 0x49f82560, 0x3484b72f, 0x71d00e76, 0xaeec9db9, 0x5ad7678d, 0xb47485d2,
+    0x9340a4b2, 0xad3ed8f6, 0xcb9cc95c, 0xded41e08, 0xc705649b, 0x7ea31808, 0x6d623c97, 0x384a42ee,
+    0xb62292ec, 0x6a6420d0, 0x150ed352, 0xf90804fe, 0xa8be3502, 0x203f8b88, 0xa86add84, 0xa7e8aaf0,
+    0x2ebe8d01, 0x5f52d66d, 0xe88bc3ae, 0x7637305c, 0xa234c6fb, 0x1134aeb2, 0x012e5e90, 0xbe4edc59,
+    0x3cc1aa4c, 0xe841aef7, 0x6865397a, 0xca12f54d, 0x42cd26d0, 0xb32cc3c2, 0x0a7df4ff, 0x553baa0b,
+    0x2e0f5a0d, 0x2601e00a, 0x929c9dd3, 0x6ecb67c6, 0xde21f0f9, 0x9726f7b5, 0xc879e652, 0x4a421d9d,
+    0xaaf02559, 0x9f7f591c, 0xb17aad2a, 0xb6a60f23, 0x833a71a5, 0x5ebebecf, 0xaeaa9fbe, 0x0ceeed89,
+    0x8bcf1d07, 0x13e79555, 0x14b754fb, 0xc10065ca, 0x57e7140f, 0x1eca968e, 0x587dbcf0, 0x73672104,
+    0x8ad920ad, 0xc16cb573, 0xbc0eb0d0, 0xbaefd61f, 0x1c079970, 0xf3c30234, 0x24c67e7d, 0xc6121080,
+    0xd309e52d, 0xce24de5a, 0x53336c1c, 0x13a524d6, 0x084d943e, 0x4e6a00b2, 0xe067e448, 0x3becf41a,
+    0x7c21a436, 0x8cb00e90, 0x4999bfa2, 0x8983eacb, 0x0358a89c, 0x5b881251, 0x47c7e689, 0xff4593a2,
+    0x1be57477, 0xec6ef2db, 0x9e84becc, 0x81ae2a43, 0x1a2f0684, 0xe390184c, 0x6ef19a66, 0xf01471f0,
+    0xb2bfaaa5, 0x41f6b33f, 0xbbc8fc72, 0xce44eac6, 0xb99dbd3a, 0x4e4e2468, 0x7053f18a, 0xb21de1df,
+    0x10a53d43, 0x46481bde, 0x29521b86, 0xa518a615, 0x58df2900, 0x7443d66b, 0x6e34d9f0, 0xbd02cd6b,
+    0x3a4c3967, 0x211e08e5, 0xca7743af, 0x9409d8c9, 0x73c5559c, 0xf7f657bc, 0x2927427e, 0x4d436b69,
+    0x3374bd4b, 0xba225aaa, 0xaf806170, 0x249495d2, 0x4ae765ca, 0x9aa22835, 0x9e2e86ba, 0x45324326,
+    0x44b1bb00, 0x8274da3b, 0xb4a7eeaa, 0xec23bfa3, 0xd329f197, 0x6232b4cd, 0x56149df3, 0xe2bea45c,
+    0xe17e85f5, 0x3a53f1d1, 0x3ef638a5, 0x31b1c0fd, 0xb1525dd2, 0x6e40f1d9, 0x3a774168, 0xbc4ff585,
+    0x1a7256c6, 0xeae77238, 0x72b81652, 0x65aca589, 0xf9577c63, 0xd9225242, 0x3058a81c, 0x48a8ea98,
+    0x4ef56ed2, 0xdf28aa63, 0x39807fd0, 0x34777a1e, 0x0d849276, 0x003ea512, 0xfc54bdf5, 0x83dba1ec,
+    0x0aa0fbe2, 0x64d28a2a, 0xce5bc744, 0xd21bc506, 0xbf5a6728, 0xe7c2ba5c, 0xddc08196, 0x4631735b,
+    0xc106047c, 0x857d40b8, 0x14d7ea8e, 0x0dc765c5, 0xc649c9a2, 0x0e78615a, 0x75544e58, 0xcd6fd334,
+    0x9417b109, 0xd035ea46, 0x1bedf7e8, 0xc33a8dbc, 0xc3ad1c57, 0x12d01e75, 0x939f8824, 0x83bb9fab,
+    0xde090493, 0x92b0c023, 0xd43a33c5, 0xe65e7358, 0x3241718c, 0x805919db, 0x671934df, 0x409b5967,
+    0x961b1c38, 0x33334854, 0x90ca4ede, 0xa46f76a7, 0x4bfcf929, 0xd8053408, 0xa93b67db, 0xf3dfd70d,
+    0x93d26247, 0xe0387c8b, 0xc629885e, 0xc63cb7f9, 0x16781839, 0x814e7aa3, 0x7ae266f5, 0x47e827a8,
+    0x6b7521c9, 0x0634f020, 0x3b96b793, 0x73a2d45d, 0x0e8f336b, 0x96951cd5, 0x6caa1f37, 0xfeca5afc,
+    0xf2efc1b7, 0xae1fceaa, 0x98ab3c9b, 0x8eddeb26, 0x20d6254b, 0x7f5cebfc, 0x97cef019, 0x53a187ed,
+    0x4eeccc03, 0xd1099e9c, 0x28d518be, 0xc4c239ef, 0x45d43231, 0x6cdb238a, 0x395ece8d, 0xc91a989d,
+    0x9542f22e, 0x65c5c579, 0x18eafecc, 0xeebd92e4, 0x8f372a2a, 0x13180a8f, 0x7bc07993, 0x2e0cf57f,
+    0x88365da0, 0x5fb08bd6, 0x40800852, 0xa47013b0, 0x76b7d488, 0x0f8d672a, 0xe0f41861, 0xe36d3eb9,
+    0x2a4f03c5, 0x2e440f50, 0x2a6345c4, 0xc9cfc737, 0x51e1b7be, 0x76de6c99, 0xdc70dcb9, 0x51b9b640,
+    0xa3eb80f8, 0xf553b6a3, 0x4ed535e0, 0xf286ef66, 0xf26b82bf, 0x4123019a, 0x5b55bdc9, 0x8abdb911,
+    0xba317dbc, 0x26f670b1, 0x8a5f94f8, 0x1d9021c6, 0x0e2c562a, 0x0a70d1f8, 0x7a2a8ee2, 0xa40566cb,
+    0x9af83338, 0x7f96372e, 0x067b5168, 0x3e9fd8f8, 0x168e09e1, 0x4842e57c, 0xf54deeb6, 0xbcc126fe,
+    0x0e159c86, 0xd1a9fb87, 0xe6742e34, 0xaf43abce, 0xedd74d52, 0xed7853be, 0x060f898a, 0xd5585858,
+    0x575cf5d8, 0x1a923178, 0x29638e29, 0x17090543, 0xf8995ba7, 0xa8643e5a, 0x320051a3, 0xcbeef257,
+    0xdb05a63b, 0x194a638d, 0xc7687bf5, 0x0c12ff74, 0x5fb56792, 0xeec2c51c, 0xc674f057, 0x1d54887a,
+    0x26e55c7a, 0xf294d816, 0xa7fd12d3, 0x83d5c75b, 0x4d32be82, 0x7e368533, 0xdfa5c696, 0xdfed8c4a,
+    0xed6ff552, 0x4034b23b, 0x34d8b52d, 0xbfcfd9f1, 0xd250c9dc, 0x21e2ccd9, 0x8f2f3b25, 0xe8391a58,
+    0x4b8fb372, 0xfc5b0938, 0x8b14dfc8, 0x2262ca61, 0xf78be239, 0xb18cf787, 0xfbf51d2e, 0x8362f8f3,
+    0x01ddf713, 0x5bb3335c, 0x2e660dfb, 0xd0fa80c6, 0x88dc2df7, 0x28deef20, 0xb188ec0a, 0x78b5647a,
+    0x3002c67e, 0xaab4a9f2, 0x3bf1fadd, 0xe3c6f951, 0x0978667f, 0x143db763, 0xeacf7fb6, 0x4db9e17e,
+    0x9f8bba44, 0x66537301, 0xaabf1478, 0x20a2ea71, 0x2dfc1ad5, 0x82c4c336, 0x6c48d08a, 0x200a8373,
+    0xd7850602, 0x79049f69, 0x2551db48, 0x8dbc033a, 0xcb4fa2e9, 0x66024303, 0x6080a316, 0x8d2473cb,
+    0xc58bff82, 0xffc7ee14, 0xa599b58b, 0x4b9c8b1b, 0x93cb7158, 0x0a114c61, 0x35b892a2, 0xc1ebddb8,
+    0x043b1a5c, 0x57ee6a9b, 0x32fd5eee, 0xa2f95d0e, 0xfd6e60b4, 0xec764078, 0x6d31fdc6, 0x0c247b27,
+    0xf7ff750a, 0xc98af735, 0xd1dfc5f2, 0x80166e1b, 0x5f1a712e, 0x0a36c54d, 0x48157414, 0xc4372142,
+    0x93ca1ce5, 0x1face64a, 0x11c31e39, 0x298e8e11, 0x286573ce, 0x33630fc6, 0x2e43cfbd, 0x07767f32,
+    0xcde18dce, 0x800a2aa6, 0x7e075452, 0x25bdeb0b, 0x9bcee025, 0x915085f5, 0x877cd002, 0x920ef0a6,
+    0x8b3d8d1b, 0x7550b832, 0x71212307, 0x16ec498c, 0x920e7ddd, 0xa4ab19d0, 0xa812d5a4, 0x5209c038,
+    0xdb465f4a, 0x6bdc8650, 0xaed3281c, 0x55b50900, 0xedbdb4f3, 0xd8bfad8b, 0xd33a277a, 0x78160628,
+    0xcca944a5, 0x4db2eb32, 0xf88c4592, 0xd3d6a7cd, 0xed385241, 0xfce63607, 0x4b330ff6, 0xc9816c90,
+    0x600fd151, 0x05fe5dcd, 0x3fc3c2b4, 0x8873b75d, 0xfb97c98d, 0x611831ce, 0xd8dd5902, 0x99ed1dd9,
+    0xf4d0eee0, 0xad3c41f1, 0x39c24337, 0x52211dd5, 0xe14724b9, 0xed8d117f, 0xec2bf96f, 0x2fb368ea,
+    0xb448912e, 0xf519b5bf, 0xebf56f57, 0x324a90ae, 0x989d4c41, 0xab2df797, 0x9a8aa2bc, 0xb8c7e0eb,
+    0xf120b260, 0x68fb1d2d, 0xa3e396cd, 0x277bc8d8, 0x74c523a0, 0x33584e21, 0x073221fa, 0x7628054d,
+    0xd84a87c4, 0xfb20b233, 0x15b85e64, 0x969494c4, 0x803131c2, 0x4b751618, 0x672fdc6d, 0xbe965c33,
+    0xe16499da, 0xdf991d3a, 0xf5921db6, 0xc1481b4c, 0x8fb9df3c, 0x4c287f77, 0x660fc5c8, 0xc1d54958,
+    0x2ec148f4, 0x6621ae73, 0xdad61738, 0x6508eeff, 0x82f75e43, 0x69bca74f, 0x2688f94b, 0x17b41064,
+    0x30b6804e, 0x6a68cf73, 0x2c88b9c3, 0xcc084292, 0x4e1acd55, 0xbdce9dfd, 0x8ec0bbb3, 0x2a7676b9,
+    0xed855b9c, 0x1b6491ba, 0x6a330274, 0x9eb37314, 0xbc9536bf, 0x482d98c0, 0x5b2d97cb, 0xbdbe7a91,
+    0x13b1ee0d, 0x07b79dda, 0x7afa493f, 0xadcb315d, 0x7d98e94d, 0x870813c8, 0xba34cf8d, 0x5aa824e3,
+    0x76c6d305, 0x4bfdb91a, 0x503251ec, 0x141bf04f, 0x387edc01, 0xe0431bd3, 0x99e1a400, 0x956a9133,
+    0xd510c88e, 0x3dfb150d, 0x4c939089, 0xcc151990, 0x35e3648a, 0xb487079a, 0x22ba1e86, 0x4f2204e9,
+    0x149dc19b, 0xdfa39712, 0xbbfca2bc, 0xda4df75f, 0x2798eb5e, 0xf1a8e8fb, 0xd5561b05, 0xe5a96f5a,
+    0x7493e402, 0xa0c22b1c, 0x0a0a1d60, 0xdde1eca0, 0xe1f99313, 0xd1e914fd, 0xa3a8ca5d, 0x7ccf8401,
+    0xf04b2fd5, 0xaf9f7123, 0x999c650b, 0xde1523a3, 0xd070f848, 0xe7a3459c, 0x877e04c2, 0x30e8c970,
+    0x7c47bcfa, 0x41d92027, 0xef692d89, 0x4421ddd3, 0x17b2eafb, 0x5419ba38, 0x419c3b10, 0x978991a8,
+    0x212ed2e0, 0x00261aa1, 0xb0f2153c, 0xe4a4ced4, 0x3ce658fb, 0xd221a44a, 0xf05c4a20, 0x11ee0a49,
+    0x4e154cde, 0x2ed74937, 0x8bb7139a, 0xe57935dd, 0xf74d59bd, 0x49a2390e, 0x6aabd2e4, 0xba4f4680,
+    0xbfd01d5b, 0xcf5630ca, 0xd66dd00e, 0xb3dd2ffa, 0xb8105395, 0xbbe08831, 0x8728b079, 0x472e7588,
+    0x9138cf53, 0x7571fc52, 0x7cef944e, 0x0670c1a9, 0x9ceec6f6, 0xe2f89fd9, 0x44f14718, 0x29b5770e,
+    0xe3c90d80, 0x61d0a2dd, 0x2464da7f, 0xbece24e2, 0xee64eef6, 0x5d43125a, 0x7fd35ecf, 0x0e6204da,
+    0x4864ace5, 0xb3eccf6b, 0x70daa8d3, 0x03899137, 0x017eb832, 0x2fbf1bee, 0x689aa634, 0x68e29618,
+    0xbe6acc86, 0xa49d978c, 0x0505e283, 0xcf2c74eb, 0xc4a8588d, 0xe603b491, 0x0cd2ff02, 0x26f02d9d,
+    0x5d793b9f, 0x5b4ec563, 0x410c156b, 0x4232ce26, 0x95844ce1, 0xbc6e12ea, 0x316930f4, 0xe00945a9,
+    0x4716ef3b, 0x0c56c6b7, 0x8fc2276d, 0x01222e6e, 0x032ac5e7, 0x694ff203, 0x04ca2e42, 0x83629f07,
+    0x1d31e0ab, 0x6b4f11c3, 0x650d896e, 0xd026823b, 0x8d8206d5, 0xd255157e, 0x54dada38, 0x3366166d,
+    0x53f40450, 0x63b7d5df, 0x06071f6b, 0x1a8f5e63, 0x4d25987a, 0xf3e794ef, 0x7b079af7, 0x5938e5bc,
+    0x485f8c28, 0xf27b82c3, 0x4cd121f7, 0xf174dffa, 0x1b6b5d15, 0xb49e3fd6, 0xb1802907, 0xbf50e590,
+    0xa85c4edf, 0x0ea664a4, 0x05c5ca34, 0x6d2c0c76, 0x815daa86, 0x46b142cf, 0x744bac66, 0x88cef60c,
+    0x63c0cb66, 0x86c39c60, 0x5efa4d0f, 0x9b37d1a0, 0x0b453abc, 0x1f284b36, 0xee06f2d1, 0x9c202666,
+    0xa294c44d, 0x87463523, 0x53d18564, 0xf3863342, 0xcce3b241, 0x54852ee4, 0x95e76047, 0x7975645b,
+    0xf1895794, 0xea088885, 0x1904d4a2, 0xd8d4bb51, 0x20fe2f31, 0x404e0c20, 0x1ca94f97, 0xd49486ee,
+    0x2bb764af, 0xa5b384d3, 0xb7e9cdf4, 0x78a4c256, 0x27571657, 0xc938ba32, 0xed9f3a96, 0x6f8f5974,
+    0xf4feaa1f, 0xf9e2771c, 0x36186709, 0xa0727639, 0xa248339a, 0x2ee44308, 0x6b4b42ee, 0x58459aa9,
+    0x1d428782, 0xad8fc1b7, 0xf211b497, 0xcf13f0d2, 0x7f147d3a, 0x72ba96ed, 0xbcd936b6, 0x9cdef8cf,
+    0xe101c3d6, 0xb4c811fa, 0x4e576861, 0x33f12a57, 0x3a6728e1, 0xc5696f3d, 0x3ed58af1, 0xed174d69,
+    0xb6c47e74, 0xa79356e3, 0x1bca28b4, 0x4611b379, 0x795353d9, 0xd7205d70, 0x987ef1eb, 0x03ce849b,
+    0x2df76734, 0x6c926a78, 0x997b8f93, 0x0b876a72, 0x3b2ecb0b, 0x938247b7, 0x95e96c93, 0x6b2c40ca,
+    0x5cfe319b, 0xb40b860a, 0x07d1546f, 0x5627308a, 0xd8be1a9d, 0x7eecea78, 0xbbb74a07, 0xc3efe74c,
+    0x5a3da460, 0x01072d23, 0x45166e85, 0x903e0bf9, 0xf3405572, 0x11d1bc0a, 0xa727daf0, 0x768de7ab,
+    0x445acb3f, 0x29c9ddc5, 0xfe77c0d1, 0x940270f0, 0xdf2ff9af, 0x1e0111de, 0xeac1ac7a, 0x8b7be407,
+    0x8ba25021, 0xd54d3a14, 0x004b185a, 0x59f9fc4d, 0x74871c8f, 0xfb145d12, 0x2059d71e, 0x1a47a328,
+    0x413df954, 0x3ce832ca, 0xbd2390be, 0xe1d4a42d, 0x4389f42d, 0x8e21c5ab, 0xbc69b19e, 0x84fd0b68,
+    0x7dafbcd4, 0x9b5c4110, 0x3d6782a1, 0x0b6525b5, 0x03e5ef9e, 0x8187ab04, 0x7b932328, 0x9e17fa31,
+    0x268a48fe, 0x11e0ffa1, 0xaeed1015, 0x9ebeea1b, 0x8d528b27, 0xae766f54, 0x15af205d, 0x5036874f,
+    0xf06f40e8, 0xe94de07d, 0xaf03a89f, 0xba890f8d, 0xb57a854d, 0x65696fdf, 0x71195219, 0xd7f50d91,
+    0xdd2c041f, 0xfdbad1fb, 0xb1327464, 0x3221cde3, 0x0315b34b, 0x9a3693ba, 0x1302e954, 0xf94dbd37,
+    0xe9ef7ad7, 0x0504e68c, 0x3a5a90ed, 0xa419df51, 0x4fc1e19d, 0x7ef23546, 0xdfe25fec, 0x63199452,
+    0x5477a2b2, 0x30d15c7e, 0x92535bd3, 0xa6f3d40e, 0xe6138143, 0xff556925, 0x3c92f992, 0x64bc9e6a,
+    0x771ac793, 0xee720c7a, 0x6d090866, 0x7a6c2a52, 0x9d7a523b, 0x07fafd1a, 0x172b6a5b, 0x6711b071,
+    0x77241b38, 0x9870b598, 0x613645eb, 0x59e82876, 0x02fcc058, 0x4cdbbfbc, 0xac137d17, 0xec022b0f,
+    0xdacdea11, 0x2d7aa809, 0x197c1ce9, 0x541e4977, 0x929a215c, 0xb1c53d9b, 0xd7c270d7, 0xed12602c,
+    0x1bd1f83d, 0xb96b4e3d, 0x802609c1, 0x77ce364e, 0x810d35ea, 0xf980c838, 0x723077da, 0x79504f5f,
+    0x00000000 }, /* 10**-00000000000000000000000000013538426240824291306535225508511150895685727907108\
+                          47937094960732721983060451965636249987502980536903367866802227247837807116288 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c,
+    0x84c52b16, 0xe49537f7, 0xd187a62f, 0x99af0216, 0x22ae0c5c, 0x1db41549, 0xc52f429e, 0xbca11b7e,
+    0x00000000,
+    0xca9f4c2c, 0xe95c7db8, 0xbc4842d4, 0x5ccb35a7, 0x7b2f5177, 0xf660f831, 0x98a024f1, 0xa5a71ced,
+    0x387db73f, 0x10a4818b, 0xf2178527, 0x25611538, 0xd14b98bb, 0x40736056, 0x8e466ace, 0x782e2b3d,
+    0x398946a2, 0xddee230a, 0xf09c1e3c, 0x6a87e277, 0x49910feb, 0xe439d024, 0xab4f8354, 0xb9dfb3d5,
+    0x27c32df6, 0x91c7b5c7, 0x5b33b942, 0xd1c8dabe, 0x0d240376, 0xa2729baf, 0x3f7aa672, 0x9dbfc17c,
+    0xd0adce06, 0x27b8cfb1, 0x07309ae9, 0xf2bf59a3, 0xa7eacbba, 0x40b2f8f5, 0xeba5889e, 0x93d183de,
+    0x8dc00a78, 0xdf890ff1, 0x60d0709f, 0x54b8cfd5, 0xac7e22ff, 0x9c715e34, 0xcb95457a, 0x1cba0dea,
+    0x08b17358, 0xe704400f, 0x8b40d668, 0x2d60e1b2, 0x1395b07a, 0xf0abcfda, 0x160db256, 0x2a835add,
+    0x656b693d, 0x00dd55bb, 0x89503fdb, 0xe7e565f6, 0x2ad5a534, 0x3434676a, 0x914568ce, 0x2360f0b9,
+    0x24fdc132, 0xfc2908d0, 0xb689ade7, 0xa948f078, 0xf7387c7a, 0x68701853, 0x462891fa, 0x3aeb0372,
+    0xd3796789, 0x98579700, 0xc055e11f, 0x86225c24, 0xfbaab6f0, 0xe9776465, 0x175bbfb2, 0x693ac087,
+    0x341db51a, 0x82552274, 0x2a1e5de9, 0x73919d48, 0x72bc0e43, 0xf161772e, 0x9e5dbb8b, 0xb1c28ba6,
+    0xf1b4642d, 0xd93b7b34, 0x87e57c12, 0x0cf030fb, 0x31eb46f2, 0x0a4002e6, 0xd9c6d88a, 0xcdbffa5c,
+    0xc0523271, 0xf65a3c8c, 0x93d1ef19, 0x84dc8000, 0x02a54e40, 0x611e42f6, 0xa5374dd7, 0xf16cb0ba,
+    0x25b13258, 0xb3b30159, 0x04eb6620, 0xaae5f625, 0x6c23051c, 0x103e2f2b, 0x89c4ad9b, 0x7dd83142,
+    0xfc158eb4, 0x743a269e, 0x203db4ac, 0xc2831925, 0x249e90e5, 0x7cfb74fd, 0x5339533f, 0xfc8b4ba7,
+    0xb965cbdd, 0x5235a90a, 0x2dd35f22, 0xf6d080b3, 0x968ef44d, 0x6b02ae60, 0x77edb93a, 0x4b7341f7,
+    0x9f2e8140, 0x4a2407b1, 0xf1165a6c, 0x95ee1a35, 0xad716d33, 0xe1c0bbfd, 0x702c44fb, 0xd3cdbb78,
+    0x12308c95, 0x2c625f04, 0x4665a435, 0x4c2aed6e, 0xf246d467, 0x17a7db9f, 0x6d62c48e, 0x6f8c90e1,
+    0x6f7eba44, 0x9d49ac35, 0x6623dc23, 0x88fb1218, 0x6d74d1ae, 0x5be90570, 0x293479fb, 0xb2898030,
+    0xc30402d4, 0x3bdd34e6, 0xb5a0757d, 0x041ae0db, 0x3b836af0, 0x2308ee97, 0x0f7a32c4, 0x23ccc83f,
+    0xa13fc409, 0x1632584a, 0x2ed8f412, 0xe2713398, 0x098f75f3, 0xcec67368, 0x47d17fa4, 0x5151430d,
+    0xc2b417a5, 0xad4b995e, 0x4d24d1b0, 0x897a6b16, 0x1ec8a96c, 0x311b54bd, 0x6e5ac5fe, 0xcb7a60f8,
+    0x5e8676ec, 0x198d49e4, 0x94d6566f, 0x13795c15, 0xb2387335, 0x5bf8d595, 0xb02cd843, 0x900950cb,
+    0xfd7bc182, 0x886ee362, 0xd0a7bfdb, 0x90076e05, 0x052adddd, 0x9768c0cc, 0x4cbd264b, 0xbb019423,
+    0xae108e90, 0xb93f8f4b, 0x816ebbbb, 0xf8310a4d, 0x5cb98b9a, 0x0cb4948d, 0xcd6aca86, 0xd7234383,
+    0xb30dab46, 0x0e89b072, 0x72374795, 0xe17aae92, 0xf0b13a63, 0x6b9c4e5a, 0xb3ba041f, 0x526f507f,
+    0xec7130c2, 0x9e599b1b, 0x4d3cc2f8, 0xd387dc72, 0x32f111af, 0x5652f57b, 0x538d9cb9, 0x6027c7c8,
+    0x8f156bc2, 0x91e8d798, 0xdaa5101f, 0xdebc1907, 0x85bfb5f1, 0x29bfc509, 0x8362f65f, 0xd19b16a0,
+    0x1dd96090, 0xdfb2071a, 0x957d5be2, 0x64e83e88, 0xf339b85f, 0x268e4969, 0x8780a4dc, 0xa0a148f0,
+    0x240159d6, 0xfb914a38, 0xc0371dee, 0x9b6930e2, 0x52fa488c, 0xd1cb8bba, 0xee5b8bc7, 0x9dcc403e,
+    0x7c32a48b, 0x00c5539a, 0x76b6480d, 0x6600c891, 0xca678c0e, 0x01a4dcb6, 0xb9e5ab36, 0xae042f13,
+    0x2cd9b0d0, 0xefc15724, 0x185a7a79, 0x279b1a65, 0xf2985af1, 0x34d6931c, 0xabbe07c0, 0xbaa62eb2,
+    0x2f57fb0e, 0x414033b0, 0xfd9aa376, 0xdf89b6a9, 0xfb9eef4c, 0xf4fdae28, 0x13239ecd, 0x41c71b99,
+    0xf09bf7d5, 0x378cdb9b, 0x2ea0e67a, 0xe6abd581, 0xa6d6e4ec, 0xed615928, 0xd6d0cf2e, 0xabd2374c,
+    0x29de866d, 0xe318b586, 0x0007684f, 0xe4ec1a9b, 0x0cee19a8, 0x83ce5c1d, 0xd951f56a, 0x25635fa0,
+    0x347175ab, 0x73fc8709, 0x39eef8e0, 0x538e4a5e, 0xdfd4c881, 0x3ee0fefc, 0x5656058e, 0x02e5ec24,
+    0x2b55c3e4, 0x4201159e, 0x315e0ebd, 0x75dc1d5c, 0x7c494445, 0xa171d7f3, 0xb5d7ba75, 0x4b2597ad,
+    0xf607af1a, 0x54560b73, 0xd1cf2758, 0x8890f1dd, 0xe9bcfe9f, 0xa28bb214, 0xf4b64ee7, 0x1c5a05a5,
+    0x8b320a93, 0x421d9bbc, 0x7242647b, 0xa14e4f04, 0x02206c06, 0x44d61c8d, 0x55e7f610, 0xae6181c3,
+    0x4730c234, 0xa94802d4, 0x1769dc4d, 0xed43ee62, 0xb85ca86f, 0xada2f28d, 0x865a7a18, 0xc7853cb5,
+    0x7c5ff729, 0xfc2ecd75, 0x62616eda, 0x62db86a5, 0x63ca8e53, 0xd570c310, 0xe13badc0, 0x23c4318e,
+    0x8352e442, 0xe9400e8b, 0x01996ebc, 0x42400979, 0x4c6113c6, 0xa37ea3e3, 0x77ca6179, 0x788a1a9e,
+    0x12c35fba, 0x78ad709c, 0xd35a8617, 0x68d6d789, 0x12d607d3, 0x2e3d6c9a, 0x2c3496a7, 0xab917474,
+    0xf3a892f0, 0x6ce3c06d, 0x1df3a621, 0x73dbe92a, 0xc46feddd, 0xdfc6de58, 0xc7613104, 0xbd42efa3,
+    0xd211c1a7, 0x516dfaf0, 0xb278f966, 0xb51e20ab, 0xe02cd19d, 0x27aade73, 0x69ded8e4, 0xcc0d79aa,
+    0xc3a27355, 0xf20add47, 0x65bc2a90, 0x5d7d4120, 0x3a7fee6e, 0x43c0502e, 0xdc20dee7, 0x2f4488d3,
+    0x24a8f473, 0xf7a3a78e, 0xd36acd5f, 0x2c62c6dd, 0x23a26c9f, 0x57015c34, 0x0d67ee08, 0xfc9c71b4,
+    0x8c30530e, 0x5065c6bb, 0xa06516fe, 0x916f02ed, 0xf9909383, 0xb7750439, 0xd58e23fd, 0xf1c93e1e,
+    0x5e41cc62, 0x375827d1, 0x0addf74e, 0x0aaab0f0, 0x7ca4cb38, 0x88d714ea, 0x1d9209e5, 0xaf19e636,
+    0x1b39554e, 0xf6ec4a95, 0x98a23168, 0xf3d8b27a, 0xc2262cc5, 0x8b97ff61, 0xcfbd0c60, 0x11f487da,
+    0x413fa8e5, 0xcfb72fd6, 0x8f2d863d, 0xdffeda80, 0x95b9bb66, 0xf0167f82, 0x519cbcfd, 0xbee2c442,
+    0x8a638d90, 0x2a0c837c, 0x09a3e70e, 0xfb1fa5ce, 0x4b75dda2, 0x87797722, 0xeafaae84, 0xacb2071f,
+    0x0874928c, 0x3f0daf32, 0x6beda9d7, 0xb8f3018a, 0x2f3b30bd, 0x440be214, 0xc60ccd6d, 0x8872ed99,
+    0x83ebe279, 0x26402cb9, 0xee0f43e1, 0xa2345623, 0x9eb39554, 0x8a0f5a74, 0xd2745f5e, 0x195f6815,
+    0x2c4b1286, 0x0df8164a, 0x0d573b8c, 0x79f620ea, 0x994e07c1, 0xebb6fdb9, 0x1edbd056, 0x70892ce5,
+    0xf29a4057, 0x69023419, 0xcdc3d3bd, 0x6449aa75, 0x48c80271, 0xcd540326, 0xcd80ef7f, 0x4972b74b,
+    0x81722731, 0x93113241, 0xda7d5295, 0x72ab6204, 0xfaf5aa9d, 0x6531fedb, 0xc90a7f72, 0xf95b91d4,
+    0x8a4ac02f, 0x2b6a6539, 0x7d673668, 0x7c124463, 0x2cfe0e4b, 0x824b28db, 0x498baab4, 0x8b0e84a0,
+    0x7f081a8a, 0x8e4b8f0d, 0xeec494a6, 0xee154df0, 0x3eab1ac0, 0x74e1c24f, 0x85e58126, 0xd8f0db21,
+    0x2ec37ffe, 0x9bc09ebf, 0x2e385191, 0xfbd2c558, 0x86d3df89, 0x94c941df, 0xabfbe129, 0x580d1fcc,
+    0x9da6011d, 0xdbe49b0c, 0x10e86b01, 0xa1fab6c5, 0xbe3a3383, 0x54cfa4b8, 0x835882f0, 0xc7044e24,
+    0x5089bc49, 0x8b8abc99, 0x1d7f12e3, 0xd2cd8cc1, 0xa8f0ff92, 0xa6f4019c, 0x94c75e77, 0x07835a23,
+    0x3fce2c42, 0xb23880b8, 0xfbfb6c64, 0xdc17d14f, 0xa7b51e77, 0x44502390, 0x3f49c58c, 0x8b230c5a,
+    0xd9adfc23, 0xeec538d7, 0x9415912a, 0x9af364d4, 0x8a3ab380, 0xcbaf01f4, 0xcc3ea321, 0x31bdfb53,
+    0x4a996f4f, 0x5435b3e3, 0xcdd5acf9, 0x2434a28f, 0x4ee346bf, 0xc25682e8, 0x76918459, 0x3cb6acc0,
+    0x971014c1, 0x95ffb17a, 0xff4cdaf8, 0xa34f6ad3, 0x70b19d3e, 0x380ca13f, 0x9258d5e1, 0x502ecf54,
+    0x85ab1b43, 0x96cd3508, 0x9cb82f24, 0x5394765b, 0x5c5a2c6a, 0xffa254e2, 0x03600f6e, 0x0f0cedfd,
+    0xc880d840, 0x6e4adebd, 0xd75c6d5f, 0x99dd2d32, 0x0d831b83, 0xbfd8a2f1, 0xd4cecbbc, 0x7d8ddb02,
+    0xd713ca75, 0x9200de16, 0xe9932ffb, 0x763ae845, 0xbc1b4bec, 0x210ea073, 0x596fa38f, 0xb3e31770,
+    0x52a11fd6, 0x57c18b8f, 0x8468dd27, 0xef7d463b, 0xc8a6df34, 0xf48892ad, 0x571ef47b, 0xab5a86e7,
+    0x90007ee4, 0xbb882b56, 0x6d14bbe1, 0x91860726, 0x81b929fd, 0xfa5fb5c4, 0xc928f35a, 0x9efdfd6a,
+    0x78268479, 0xe2a2723f, 0x5bf45886, 0x7263f7ef, 0x47eec2e3, 0xdb9dade6, 0x8b1e0b03, 0xfdead744,
+    0x0416243a, 0xf80acb6b, 0x5681a62a, 0xa7346d10, 0x932b307d, 0x32895953, 0x1ecb9d83, 0x922f2416,
+    0x74a846dc, 0x849323f0, 0x3ed8e541, 0x18306bd4, 0x7a980c44, 0x6fd46806, 0x57872ca4, 0x9eb43134,
+    0x6e036b19, 0xa50093ff, 0x1e764ad0, 0x0e77dfa9, 0xb9256f6f, 0x8a89a430, 0x7c028323, 0x42715811,
+    0xa6d324c9, 0x6133cb6e, 0x00917685, 0xf252dcb2, 0xfad4459e, 0xb5a1a77c, 0x3eba6b0b, 0xcc604380,
+    0x867a2e6b, 0x1341f5f8, 0x186f8cab, 0x378b8ea7, 0xa0468c8d, 0x0746cf36, 0x01472004, 0x99cf88ed,
+    0x0d95512a, 0x8990bef3, 0xa44760d2, 0x426fbf9c, 0xa576d5b8, 0xfa2ee610, 0x1d445e71, 0x2f175fe1,
+    0xd13d622c, 0xb27812ba, 0xbc1584c6, 0x970ee887, 0xbd5c6743, 0x6e907987, 0x37d8d3ad, 0x5554242d,
+    0x6eb0c537, 0x5274d468, 0x56f1e6d3, 0x3b1e9b0b, 0xcb3b8e97, 0x3a28df67, 0xad3e55ab, 0xf04ac917,
+    0xeae37e61, 0xf77ff3be, 0x37b94ec3, 0xac2ac7fd, 0x33cff72f, 0x9ed03f83, 0x8d379abb, 0xa13fd1da,
+    0x74c08fb0, 0x6ac75952, 0x6d612634, 0x1b8647ea, 0xe9886bd0, 0xea4da0b9, 0x88247ff2, 0xf101f792,
+    0xd4e9476a, 0x8f2d10fd, 0xda158482, 0x9d9707ac, 0x253d8a02, 0x9a3d842d, 0xb297da1d, 0x7817dc1f,
+    0x834dd7e3, 0x1b34a861, 0x5bb3d41e, 0xe24ce6a4, 0x754362a6, 0x3c200acd, 0xff6d94fe, 0xde7cf64b,
+    0x3fa54662, 0xca001439, 0x9b4a59ea, 0x8ac3aab6, 0xfeabd85c, 0xbceae0d1, 0x3bdc8708, 0x8f89020d,
+    0x266db1e8, 0xabc4c179, 0xb571a260, 0x5a2e8c77, 0xfa2829f5, 0x40c22996, 0x8d7a7091, 0xb83095ed,
+    0x74b2f640, 0x2f5ab6b7, 0x001df48a, 0x1030ec9d, 0x549624b8, 0xfac617d1, 0x22a9e712, 0xc49d04e0,
+    0xd95c925f, 0x877e2247, 0x53df11b7, 0xe2393c92, 0x5e0c4f97, 0x60d5bafe, 0xe63cfecc, 0x66a3ca6f,
+    0xd0ee5635, 0x79c97fb8, 0x154027c7, 0x7b1d336d, 0x57289106, 0xced7cdbd, 0xaefd0d2e, 0x4902db91,
+    0x47fc2d1c, 0xd58cbe3a, 0x697507b3, 0x00374e87, 0x73bb226c, 0xf19f3ec5, 0xcf30a670, 0xbceb30e8,
+    0x3ef79405, 0x125fa556, 0x570be6c0, 0xa893142a, 0x458c7afb, 0xbeafee4a, 0x76c95e51, 0x5ae53b91,
+    0xcc94a693, 0x2406fe8e, 0x4b155e55, 0xabd95b0e, 0x9a2907ff, 0xf61878fb, 0xf75c9370, 0xd3c03238,
+    0x346ef24e, 0x73335332, 0x90d641aa, 0x17ae416e, 0x8bd8eb4e, 0x9a8c2075, 0x549c3ad4, 0x3663aae6,
+    0x430ca38b, 0x5e5ba124, 0x27c46601, 0x6746335e, 0xe79b453b, 0x6d4cdd7f, 0x6e588964, 0xceee2745,
+    0xecf1710d, 0xadd01006, 0xabb8f854, 0x90d0abcf, 0x6b49a452, 0xc99dc8fe, 0x4a0636b5, 0xdc0b46ec,
+    0x7cf47eef, 0xabeb8ac6, 0x4dfa494a, 0xa44b43a7, 0x8511c44d, 0xb8d3bdf8, 0x1b960b16, 0x4bb783dd,
+    0x3816cd01, 0x3f695f1e, 0x90a3940f, 0x4f0cfbae, 0x9a349a62, 0x90f5580f, 0x0480163c, 0x2391708a,
+    0x38b8316f, 0xb093391e, 0xe36485be, 0xcc5dd020, 0x2a59acb6, 0x77747241, 0xbe07f427, 0x977a64fa,
+    0xcbd21ff6, 0x81318299, 0x5205d40a, 0x42574044, 0x64a5c5f2, 0xccd7b85e, 0x40247828, 0xd1f4cc6c,
+    0xbf825572, 0x5548967b, 0x7e4f6f85, 0xcb9b7e1b, 0xaa2a547f, 0xdc094cc6, 0xc34d9e87, 0xc5220b5c,
+    0xb2e99909, 0xb61178c1, 0x04c7453b, 0x1e4acbe6, 0x0fea1728, 0x71d03c17, 0x2842ac1b, 0xe0c6e8d9,
+    0xbf798b4f, 0x084aeab8, 0x4ee34475, 0x8e290fce, 0xd0907186, 0x9c4b9802, 0x520cf0d7, 0xa066e2b5,
+    0x98834d3c, 0xabefd956, 0x01fe2bf7, 0xd7042b85, 0x87ea8aa6, 0xb864479c, 0x6b0dd68e, 0x62c6c742,
+    0xf8f152fb, 0x052aab0e, 0xe8f1cf5d, 0x88b68cba, 0x2b148916, 0xda0c9035, 0x1f1aaf80, 0x8914180c,
+    0x4bcaa90a, 0x77f8a794, 0x4a2b2564, 0x491d8262, 0x972bc7ae, 0xa1f12079, 0xbbde8ad7, 0x2b0247e6,
+    0x3d4b86b0, 0xce84e17d, 0x8a99996d, 0x5f3b824a, 0xd858c2e7, 0x31828a5d, 0xe6542dd5, 0x3c24a8b0,
+    0x21910c2b, 0x3c3861a6, 0xfc773ee1, 0x1483fec1, 0xae16533f, 0x5dc8aff6, 0x4a7b20bd, 0xd6082ba5,
+    0xa57d2a3c, 0x15f6daeb, 0x716e406c, 0x27a55aa6, 0x62c493c6, 0x92cd113e, 0x408b7d7d, 0x64714f52,
+    0xfdd20f00, 0x165da2e3, 0x94165f44, 0x2dacd77c, 0x8e1a5b57, 0xa9910d2e, 0xf3a99175, 0xae38d94c,
+    0x7dce1cc6, 0xb7023577, 0xfba09444, 0xa3650895, 0x56b486c9, 0xd7dfc32e, 0xe5c81968, 0xe9b3dd56,
+    0x4f677fd1, 0x8f9db281, 0x78c6c196, 0x06845a3a, 0x25986a32, 0x67383d83, 0x70100497, 0x6c843ba4,
+    0x7a798f55, 0x6602f0db, 0x4272e388, 0x9815a454, 0x244c0161, 0x3c3168fa, 0xea8cf644, 0x16446583,
+    0x91347e53, 0xc121f165, 0x66acb52c, 0x33495919, 0x0a63d2b6, 0x2d63cbf3, 0xde27d6d9, 0x40f3900c,
+    0x434915f1, 0x18f7ff6b, 0x4a701a1b, 0xcdb95e5a, 0x0840f386, 0x74b1be2a, 0x27b68804, 0xa3231f5e,
+    0x26fe205e, 0x730e454d, 0xa05b385a, 0x676f78f5, 0x91214542, 0x17bca625, 0xbdbae01c, 0x67ef6b61,
+    0x726dfb4a, 0x74e26c1d, 0xffdd0836, 0x65305b6a, 0xfed88eac, 0xec848665, 0x125b5f3f, 0x60e2fd0e,
+    0x76928592, 0x1ac916d2, 0xd4f35e74, 0xffd3b735, 0xf028101a, 0xc60e6c8d, 0x68e5d03e, 0x84209ea1,
+    0x820002eb, 0x9a52391e, 0xce268ae9, 0xecb6a4b5, 0x8eaaa84d, 0x97ce593a, 0x1157724a, 0x38c674c9,
+    0x2c4b4299, 0x1531f8b9, 0xf8b93ac2, 0xe653bb7d, 0xe33771a3, 0x4761c43d, 0xffd8a975, 0x16bd0d85,
+    0x2a5fbb39, 0xa131d2d3, 0xb7ea4452, 0xaee02e7a, 0x82da9c0c, 0x14a67c34, 0xd288aeb0, 0x72907581,
+    0x2832bdbb, 0xb3795760, 0x4dfc82c0, 0xf9b322cc, 0x1b820ebe, 0xa639ecd5, 0xcc891e43, 0xdd457c3b,
+    0x95385b04, 0x8752c0ba, 0x0fc352a3, 0x9edec096, 0xc7aa8409, 0xf26a007b, 0x13306e4e, 0x24070739,
+    0xa3c40d72, 0x78053721, 0x8ad65c14, 0xb56cd8e4, 0xe6a9221e, 0x73002be3, 0xa69ab036, 0x53fdb62b,
+    0xd09e288a, 0xa68bfbf4, 0x5b829c21, 0xb8ce4b8d, 0x22bf6578, 0x9cacc819, 0x9d6340f9, 0x71a3c25e,
+    0x5eca6355, 0x0efe19ee, 0xe8758e1e, 0x4e2ca770, 0xc3ef018b, 0xd9ceae78, 0x07201545, 0x5ada2b10,
+    0x446534f1, 0x321414b9, 0x1c172a04, 0xa95a0bd4, 0x7385a118, 0x0359e9b6, 0xabe704bd, 0xdf4f5539,
+    0x00000000 }, /* 10**-00000000000000000000000000006769213120412145653267612754255575447842863953554\
+                          23968547480366360991530225982818124993751490268451683933401113623918903558144 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e,
+    0x4262958b, 0x724a9bfb, 0xe8c3d317, 0xccd7810b, 0x1157062e, 0x0eda0aa4, 0xe297a14f, 0x5e508dbe,
+    0x00000000,
+    0xe3c0b1b2, 0x1eebe11b, 0x006bc4c3, 0x3adc6038, 0xf7c24446, 0x33c2f43b, 0x80bbcf4d, 0x13a2e807,
+    0x49fe912f, 0xaeb88155, 0xed093171, 0x75e5abb5, 0xcbbfc09f, 0xbdefdac0, 0x75281c52, 0x87e61e06,
+    0xf33559ff, 0x432135fa, 0xf40e7bc7, 0x9675026b, 0x92e32241, 0x1c63d785, 0x2c85182d, 0xf4b56f78,
+    0x481c6840, 0xc3a346a4, 0x51477eb3, 0x2ea45215, 0xb8604815, 0x611d8de4, 0x79a68a33, 0x1366437f,
+    0x467729da, 0xcab7a9c9, 0x8c6e5999, 0x971589ed, 0x28d7a11b, 0x52ced119, 0xe43ab293, 0x85cef494,
+    0xca825a13, 0x1e582575, 0x1336efa8, 0xed51aec5, 0x5e1842bf, 0xfd4b8a69, 0xc52fa7d3, 0x925f173c,
+    0x534dffcf, 0xa1f755be, 0x6bd5ebf6, 0x4b193619, 0x7ce9b4a6, 0x5f491a62, 0xbd470ce0, 0x7c30ef04,
+    0x2475c001, 0x4dc927f4, 0xb44899ba, 0xe3181529, 0x146821d5, 0x6680ee34, 0x1768c286, 0x85fa9aaf,
+    0x7d1786ff, 0xc6b1b43b, 0xaf459894, 0xcc3847f6, 0xd51df1aa, 0x4c008680, 0xf50eb795, 0xabad4bb8,
+    0x9ed85366, 0xb6441547, 0x0ae0f718, 0x6c2c59cb, 0x97446c2c, 0x22e02c70, 0x20f5012c, 0x20d78641,
+    0x6d04f02f, 0x307271d7, 0xce0b1499, 0xe01d1edb, 0xc46d79fb, 0x76d8e93e, 0xa41f61fb, 0xebc3c5d7,
+    0x01ad291c, 0x0a022014, 0x692a69de, 0xfbd3e788, 0x26b1d9a3, 0x77a3f1b1, 0x3dc61de8, 0x28ac4c00,
+    0x72cf405f, 0xc807eecd, 0x87707084, 0x6d0bad44, 0x75ffb02d, 0x04a3b1d4, 0x129b98bc, 0xe9dd6ffa,
+    0xb270e5fd, 0x02630348, 0xe9829693, 0xc55f0335, 0xf96159b7, 0xaafc1deb, 0x81cd7fda, 0xc90be315,
+    0x10b2f5ac, 0xeb126693, 0xcb545abf, 0x859b32a6, 0x3082e418, 0x82659860, 0xd17bf062, 0x37e6795f,
+    0x5ab40bab, 0xc76d09a4, 0xbfb4a825, 0x07e114d2, 0xac3391ab, 0xaab7889b, 0x010a0a8c, 0x6b2490a0,
+    0xfd9e8e8b, 0xe497394a, 0x11c01485, 0x6af37691, 0x24e8d5ba, 0xd24ef807, 0xee6b725d, 0xfec2b8e5,
+    0x825ec229, 0x2b09882e, 0x88efd98e, 0x0f66e35d, 0xc7ec7664, 0xff451ccb, 0x5d4836fb, 0x274f92aa,
+    0x08351658, 0x04024ac8, 0x270a8827, 0x59b50411, 0x77787c94, 0xdbb03618, 0xb1c88d84, 0x89983ff5,
+    0xb5dd3b77, 0xde76abea, 0xe498a5c6, 0x46607c70, 0x6364d402, 0xfea05106, 0xd40ef330, 0x62b9e03d,
+    0xb6f245db, 0xe3a8fc56, 0x3594cb6b, 0x3946e79b, 0x2c63ce65, 0x7f0601df, 0xbeda4c43, 0xb8e64ef9,
+    0xaa099e9b, 0xfb811df7, 0xadb0f7e7, 0x583a99e1, 0xe9b41257, 0x16262609, 0xf4117f0c, 0x18b89337,
+    0xd356228f, 0xcaf6f971, 0x556ef264, 0xcb8bed01, 0x6a04b44d, 0x6d445c43, 0xf1799e8d, 0xa4ad7c12,
+    0x17d89403, 0xbe7b5a3e, 0xec321f1f, 0xb44d54f0, 0x687838de, 0x778f3441, 0x99ae4edd, 0x7f4a8e5c,
+    0x5a18a733, 0x339e962d, 0xaa893589, 0x9bb3bc5d, 0xf49e8d9b, 0x86fcf760, 0x6e26123b, 0x90af434d,
+    0xaab967a5, 0x58eba1be, 0xb0d6addf, 0xb75ca73d, 0x5f1f4389, 0xf683b222, 0x940da8f6, 0xaead704c,
+    0xaa24086c, 0x818878e0, 0x4e135c5c, 0xe5aef557, 0x19972aca, 0x3fbb285b, 0xfd94987d, 0xaacbfdc7,
+    0x6d768874, 0x9e22b3bd, 0x19dd044e, 0xe110fa21, 0xdb6d4816, 0xbd12b2fa, 0xe927a57d, 0x51ec746c,
+    0xa27f1489, 0xd6bfd97e, 0x04c1af1d, 0x553b22c8, 0x2066b863, 0xd18a7ed2, 0xe5f535ce, 0x7f08ee9c,
+    0xa1c699fb, 0x3666e04a, 0x6c24712f, 0x5ebb2e01, 0x483731e2, 0xe1bc5a30, 0x667404eb, 0xf9588ea6,
+    0xe4efded6, 0xb8ed506c, 0xd4e2c3f0, 0x7414da77, 0x045b3f70, 0x4f3f02ef, 0x4f2fa6b6, 0x4c4ba113,
+    0x177c1bca, 0xc65ee1ef, 0x8c8b2378, 0xe93a823c, 0xd66eef90, 0x28842c94, 0x2b330738, 0x8b719994,
+    0x265c6a1a, 0x0794493c, 0x10fc86f3, 0xfead5dae, 0x0d30ca12, 0x48545680, 0x90ddf1e1, 0x2b16c309,
+    0xb49df1a9, 0x659caf91, 0x0a53fbbf, 0x588c2b84, 0xd501df0d, 0x2d22da76, 0x1fe30e7f, 0x3b7d6132,
+    0x6cde5133, 0xfd91a68d, 0x69c0f564, 0x15c23433, 0x367d88e3, 0x01c18dbf, 0xf405696c, 0xc5aab66d,
+    0x6d533c64, 0xb3ae3bbc, 0xbda26444, 0x24510c9a, 0xab1a5de2, 0x05550361, 0xaa775e90, 0x4c942b70,
+    0x0272b26b, 0x49f3e585, 0x08e5c985, 0x11e6fed4, 0xae6af5bf, 0x9552bc8e, 0x5be06b94, 0x61ccefc3,
+    0x230e3cbc, 0x8188ccdc, 0xab1911d9, 0x7dda6076, 0x87709b8d, 0xe7615313, 0x37754bfc, 0xf9318ffd,
+    0x98f32f56, 0xa3df857d, 0x373acd08, 0x45200635, 0x9b903a05, 0xccd22564, 0x7abac5b0, 0x000a4289,
+    0x8751c698, 0x7f2d88e0, 0xbd166b47, 0xdd5253bb, 0xf42a0b5d, 0x657b54e5, 0xc9a85399, 0x549164d0,
+    0xf580b2cc, 0xc0c4ed5d, 0xc48da0c1, 0xa5b2e2d2, 0xdbf55d49, 0x83af518c, 0xaa9f2620, 0x0c0fc023,
+    0xdade8df8, 0x699725e7, 0x97db01ed, 0x9ec724bd, 0x2f6ced2d, 0x410bf8dd, 0xd30dddc9, 0x38017836,
+    0xb010061d, 0xc710d91b, 0x799ea0c6, 0x87ea5eb6, 0xb6ef153b, 0xe0cdab92, 0x8a4c6a31, 0x2f005d26,
+    0x6dd5d715, 0xeba6e4d1, 0x576d99d0, 0x9deab8d8, 0x037d505f, 0x46adcb4e, 0xcd5040bd, 0x5d8c180c,
+    0xfaf009f9, 0x41620d55, 0x8369f8a6, 0x4221204b, 0xf8fc2692, 0x435a130d, 0x3bddaaff, 0x68ea1dd4,
+    0x825f5fbf, 0x08b61001, 0xda09acc7, 0x074f18c8, 0x75adbc55, 0xdb8526e0, 0xca0c97ec, 0x9ddee79d,
+    0x4ebe3d36, 0xec85a499, 0xef18629e, 0x1f5cb21c, 0xf3a4af2d, 0xaae0b7c3, 0x3fffcf04, 0x640a2858,
+    0x243f3fc8, 0x487f98e0, 0x4f33cff6, 0xa5a32238, 0xef7f1489, 0x7d85a992, 0xd9ade85c, 0x44f3b6d4,
+    0x5edeafc7, 0x2ac61138, 0x0ef04cad, 0x21d39f9f, 0xa9fba276, 0x0793bd67, 0xc36a609d, 0xb3230b75,
+    0x7cccf4be, 0x89e18c4e, 0x810d7224, 0x1511fdf3, 0x3a1912e2, 0x9a5aa974, 0xc9b3604e, 0xbaeac07e,
+    0x48a03b04, 0xe18840c4, 0x3671f445, 0x0b43d95d, 0x59d92b3b, 0xf924828b, 0x66732e46, 0xebfc3d48,
+    0xbf9a4826, 0x3554a607, 0xf191c492, 0xed38a9f8, 0x4b0a2c7d, 0x66c2c39a, 0x965a182d, 0x804e90da,
+    0xa80b9a04, 0xfda224d4, 0x58d54012, 0xa79afbe7, 0x1bad43bf, 0xb41ac946, 0x29e48a73, 0x339a8bc6,
+    0xf337195d, 0xdaac3248, 0x153d34a5, 0x98b45cda, 0x6e29bf7f, 0x6baf1e41, 0xf59fc991, 0x24b5711d,
+    0x4d5814f0, 0x57a8dc1a, 0x33f9fe78, 0x815bb219, 0x8900c0b0, 0xd3900f48, 0x6a3b955a, 0xf4d9409d,
+    0xe90de3fd, 0x2b85d17c, 0xd1d0cc9e, 0xb0066d23, 0xf6a66800, 0x42ea28ee, 0x33aaae52, 0x705ac9ec,
+    0x70fc178e, 0x5d83f782, 0x30cc5536, 0xea1a3acc, 0xe8681d47, 0xf81d2699, 0x6ae1301c, 0x5dffdc36,
+    0x878a0835, 0xb1fcff60, 0xdf7624f7, 0x49634ce2, 0xa878cb78, 0x2dd66004, 0x4f98c9d3, 0x3b249959,
+    0x926c11db, 0x72082120, 0x6a05165c, 0xd7d357f0, 0x0ef528dc, 0x806eb923, 0xc03bb6bd, 0xd022240d,
+    0xc50b58e2, 0x8ae7d133, 0x41906631, 0x502a308a, 0x3cd5cdb5, 0xf827b468, 0x87127848, 0xceee619a,
+    0x0cf9acb0, 0xafe3420d, 0x22acaf23, 0x8a09271b, 0x7a1fafbc, 0x91acd10a, 0x175e325e, 0xce899830,
+    0xfb13fe91, 0x318f7e70, 0xa06e9154, 0x79aa7490, 0x92411e5a, 0xf7210483, 0xdeb1212c, 0x7d19355c,
+    0x1554ee3a, 0x4656a01c, 0x06906a70, 0x9febdb01, 0x98f6cf57, 0x364885a7, 0x82bcdac8, 0xaed61ccb,
+    0x3429521a, 0x16fcbd0d, 0x1614c3d9, 0x7fd8a6c9, 0xd0eb2d6b, 0x9473183f, 0x6c5bd5b3, 0x82f00ec4,
+    0x719d6278, 0x87ff0e25, 0x2accb2bc, 0xe90be970, 0xc8932fa5, 0x710fde5a, 0x4c16b3ea, 0x09cb602b,
+    0xfb452a52, 0xea86e80b, 0x25e30dc3, 0xb75a90e0, 0x7b4b64c0, 0xe6de1f83, 0xdce3d363, 0x0534a886,
+    0xeb48dcc1, 0x6df02a80, 0xc3fda160, 0xa1db6f81, 0xb9d2d0fc, 0x45126fbd, 0x1d6638c7, 0x8bba7f0b,
+    0x26856c09, 0xb6d4c5db, 0x6e8b4b43, 0x64317c60, 0xa5a3a612, 0xfc4c73b1, 0x0aa5914d, 0xbef29b7a,
+    0x034186cf, 0x5477b49b, 0xc8416a7a, 0xae104f11, 0x9b32f0e9, 0x1d6fa4a8, 0xee5ca7a8, 0x05698f30,
+    0xf4b6ea2a, 0xfe0a88cb, 0x68ef6137, 0x10981a4a, 0x8eecbce0, 0x0ba9d92a, 0x0862c92c, 0x973787a0,
+    0xb7643a59, 0xb4f8ba75, 0xdb0e9582, 0x1a443e60, 0x6a3b2d40, 0xb9626043, 0xdced74b4, 0x106f6a2a,
+    0x2fcc3d00, 0xd4d687de, 0xeb23a087, 0xa3e6b15a, 0x9b4d3b3d, 0x4bf6ed4a, 0x85ca7dac, 0x39b81ecb,
+    0x8b5fdda0, 0xe44dc5c6, 0x9b720b29, 0x7badaa15, 0x2244bda0, 0x1901c39c, 0x49c850c3, 0x728530b1,
+    0x2b46cf13, 0xf3ea35c1, 0x929b09ce, 0x2ca586c8, 0xab60b429, 0x313f4947, 0x6e9637d5, 0x6d1c21ff,
+    0x1c815a13, 0xd660f847, 0x74791cd0, 0x4633d029, 0x716287c5, 0xb9149b12, 0xaa2a6117, 0x7fb45ddd,
+    0x4934ed35, 0x81bfff9a, 0x9cda7951, 0xade97c4a, 0xd438ee84, 0x1c40e8c7, 0x7e93e9d0, 0x71395cdc,
+    0xdcd260a2, 0x03049ec1, 0xb9e4b380, 0x9999bdd6, 0xd583896e, 0x07bbbcb6, 0xab36fde0, 0x1eebe403,
+    0xe8336215, 0x46531a5d, 0x1e1fd627, 0x96d2fa9b, 0x7a86c01b, 0xd75234ef, 0xf3bad40a, 0x1bdb6813,
+    0xec1b533a, 0x2ce671e9, 0xd752b0e9, 0x8ca348ad, 0x88891c7c, 0x3c2bd2ee, 0xe2521a23, 0x6a353037,
+    0x455ccc54, 0x4da59f90, 0x2eae2053, 0x7074a05b, 0xd6c4706b, 0xfe11c6b9, 0x5f1bdf20, 0xc3923407,
+    0x3c09e750, 0xe349b0d7, 0x1670302a, 0x307e78b8, 0xb6613b2c, 0x79dbe77b, 0x048adc27, 0x8f94063c,
+    0x47718ce9, 0x7b762794, 0xb1d01f13, 0xf3e58609, 0x67a27c2d, 0x2841d9cb, 0x5fec1d53, 0xbb4fa59f,
+    0xa776194a, 0xf5845a83, 0xf494f867, 0xc46fd7b1, 0x4cdf3603, 0x7fe151d7, 0xb614fa9e, 0xe20e6218,
+    0xacf7fb93, 0x265d4f6d, 0x0eb0a1cb, 0x86451001, 0x40c829b9, 0x5a02c87a, 0xca79e93b, 0xba17fe0d,
+    0xd8b9b002, 0xc130a9ef, 0xbfa8c120, 0xcf36fe33, 0x112b327f, 0x27097804, 0x4399d96c, 0x8b293127,
+    0xa3d3b3f6, 0x70295d06, 0x8fb3df34, 0xb2d40d0c, 0x413677ff, 0xb1f5375f, 0x0b59d5cf, 0x85999fb9,
+    0x69250e00, 0xd1800e46, 0x85e50a5c, 0x7c7cf2f4, 0x9b5165ee, 0x507bc8b7, 0xb7084d0e, 0x9dd87c7d,
+    0xd7389e9c, 0x26838665, 0x942f09b1, 0xc2fa5645, 0x3df46170, 0x7b061fd8, 0x9963be85, 0x9d9de7b2,
+    0x26166246, 0xdc013983, 0x0ae5ae85, 0x246c1f67, 0x39cf0b75, 0xb450a520, 0x13a9d1ff, 0xfb6d76c7,
+    0x55ec7498, 0x5ca3f21d, 0x544f1650, 0xb5e35a2b, 0x2427c623, 0x1480d39a, 0xe75a4c9d, 0x546fac1f,
+    0x7bda1809, 0x6be31db2, 0x37ad6043, 0x7f4e04be, 0x46fcc36b, 0xd24c837d, 0xc595d617, 0x67e261ae,
+    0x4dd6ea8d, 0x9cccb68e, 0x526fb822, 0x0bcb614c, 0x66709083, 0x21924e99, 0x9bc25a2b, 0x3217a0ae,
+    0x994b1f59, 0xe2c1a461, 0x035c84d4, 0x2427aa85, 0x7372590a, 0x1fea262b, 0x4bdf4bc1, 0x3349e3e4,
+    0xad04578b, 0x98f95edc, 0x4ca48ecc, 0xf9336986, 0xff9006be, 0xdbb09d39, 0x3d94c642, 0xad8cda8b,
+    0xe7248ef3, 0x58afe1ed, 0x2b854fcf, 0xcdad1bd7, 0x162ad029, 0xd7d756b1, 0xfec06749, 0xd2b714ee,
+    0xc398fc67, 0x40eb4405, 0x1fc07559, 0xf4275249, 0xfc3511a9, 0xdd050218, 0x04d8def6, 0x656f2611,
+    0xb86a8f10, 0xae02ede5, 0x141ec6fe, 0x3635f33a, 0x09475e98, 0x848ca405, 0xc75c2ff1, 0xebbb0a79,
+    0x69135a96, 0x5de9d829, 0x469bde73, 0xd3b3defa, 0x17fcf9da, 0x63164980, 0xb0ff6071, 0x516b627f,
+    0x049c368d, 0x186892be, 0x4a62aaec, 0xe602f965, 0x9bf66416, 0xe93bf64c, 0xff90f3f2, 0x9dcfdd38,
+    0x84e3ba8c, 0xe68846d1, 0x6a531d95, 0x2e6592b5, 0x1bf06641, 0x36e28834, 0xac7d49dd, 0x6c71523c,
+    0x4e6a05cc, 0xf904b3a2, 0xd2b4714d, 0x6a7fabb7, 0xfa3391bc, 0x2a8eb326, 0x3d795a3f, 0x6eb05e93,
+    0x1cd68787, 0xb699314c, 0x5fe28afd, 0x3a1573ca, 0x43738bb5, 0x0fc569e1, 0x12035a37, 0xc4e5f126,
+    0x849d7a94, 0x09e3c18d, 0x30ce7b93, 0x6c794c5c, 0xd94b227e, 0x4918d198, 0x142a52a0, 0xc28b7996,
+    0x1d6cc000, 0xe3b3c8bf, 0x68448e89, 0x8d57ca0a, 0xfb625b04, 0xd181c039, 0x9f818187, 0x4658c5b3,
+    0xaf7c77bb, 0xa72839b1, 0xde3e7fac, 0x6f2717a1, 0x1d3efa65, 0x96b63f1f, 0x538624fb, 0x16220c38,
+    0x35603f1c, 0x231866d9, 0x827288c9, 0xa6505154, 0x31d4f93b, 0xf1be886b, 0x339a373e, 0x7ba08266,
+    0x011b5c07, 0xa0b5796d, 0xd0e71c96, 0x7fb177e2, 0x5b8fe754, 0x62187cc7, 0x176e732b, 0xb5e0042a,
+    0x7e1f70c2, 0x84414ced, 0xae6437e5, 0xb2828eb3, 0xfaf58c71, 0x95279609, 0xf5c0fc53, 0xd0f4c992,
+    0x37e7d9db, 0xb469c951, 0xf4c668f1, 0xb0a3252c, 0xdf238450, 0x975098e7, 0x1855f106, 0x039f57ed,
+    0x4f7f03fe, 0xd3bd25c3, 0x2da6c2dd, 0x266b38a8, 0x2cb11211, 0x94799aec, 0x3dc411f3, 0xe68c7807,
+    0x2fe9df0c, 0x2579ca2d, 0x5e6f314c, 0x0920300a, 0xe7c274bb, 0x4e521c5b, 0x85eed642, 0x07c1daba,
+    0x878eaf31, 0x59552eef, 0xb5f1e125, 0xf8d7a0ab, 0x09e050ba, 0x1c657cc9, 0x2369456f, 0x4852a2de,
+    0xc01358d5, 0xfbec3d36, 0xda4b386c, 0xbdb26f59, 0xf7923ed5, 0x349ed8fa, 0x847fdb91, 0xf118eea2,
+    0x786e62f5, 0x5c7034e5, 0x972f78af, 0x6aea42bb, 0x317ae184, 0x6976c4bc, 0x2966c68c, 0x22512970,
+    0x7eb02875, 0x8735039d, 0xc637d0c9, 0x562e1a2c, 0x4fd91779, 0x48cef822, 0x86d50f4f, 0x7d6ea3bd,
+    0x43698818, 0x887ba068, 0x65b3893c, 0x2b36b79f, 0xe72e6c19, 0xf72caa1a, 0x08bc40c6, 0x04bb4b9c,
+    0x585c6676, 0x483a6c8f, 0xaa82aaba, 0xce724543, 0x864e7407, 0x18e76cf5, 0xfd659148, 0x9836f1ac,
+    0xac870844, 0x8408c8d3, 0xb8bfb301, 0x38920089, 0x0099dd7e, 0xbb86d109, 0xbdd126ac, 0xf495b2f7,
+    0xd217c8b2, 0x5b2f65f4, 0x22dd0e07, 0x9f03adb3, 0x5e61bc0b, 0xc4754fb3, 0xb69caf5d, 0x8b7903c0,
+    0x1343a7cb, 0x0318afa7, 0xfc42cf1f, 0x3f457261, 0xb4e9d2ed, 0xc1b8cb6c, 0xb3faa46a, 0xafd64c77,
+    0xca85161c, 0x4aca9a27, 0xeeffb4f6, 0x0b2ba883, 0xe68be58e, 0x0f3e40a2, 0x6995a3ee, 0xdc75c0c7,
+    0xd26b8c35, 0xea56b378, 0xa7e71b51, 0x33198b66, 0xf3d3b00f, 0xac21f3dd, 0x68bce1a5, 0xa064ebf5,
+    0x29280919, 0xeebaaad3, 0x9915f568, 0x264e48bd, 0xcf9f5acd, 0x09002710, 0x23d7c337, 0x67b1dc7e,
+    0xf634f2af, 0xbf729433, 0x3a2b4d64, 0x1f00df7e, 0xf75ba29d, 0x8a20fd89, 0xcdf695e3, 0x321b241a,
+    0x46d99e18, 0x082a33b2, 0xdfb6f688, 0xd1ed06ac, 0x92202727, 0xe06290b9, 0xfa089c46, 0x5b948f90,
+    0x79c9e9f3, 0x844dd5cf, 0x40d7f260, 0xd174e640, 0x0c581647, 0xe61d400b, 0xeab85e4b, 0x615f70d9,
+    0x00000000 }, /* 10**-00000000000000000000000000003384606560206072826633806377127787723921431976777\
+                          11984273740183180495765112991409062496875745134225841966700556811959451779072 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807,
+    0x21314ac5, 0xb9254dfd, 0xf461e98b, 0xe66bc085, 0x88ab8317, 0x076d0552, 0x714bd0a7, 0xaf2846de,
+    0x00000000,
+    0xf176b1bf, 0x15f65ad1, 0xb4979a3a, 0xe14f2894, 0x1b58a8bd, 0xc512e3d0, 0x8741ff2d, 0xcd00ac12,
+    0xe261fa9b, 0x866c14c4, 0xf0b468d0, 0x1c205502, 0xb75200c0, 0x08ce65b9, 0x18da5fe0, 0x33b056ea,
+    0x4f6f44fd, 0x4b23dbc3, 0x9f3fa89c, 0xdf185107, 0x3856fe77, 0x0360dc9b, 0x680069d9, 0x22352698,
+    0xba801484, 0x93c8da0e, 0x0036c124, 0x2824682c, 0xe2552efe, 0x27a8f9e5, 0x172a0650, 0x86f63cf8,
+    0x89a2e2c0, 0xfa3a1339, 0x4ddc1bae, 0x323dd293, 0x2c48b710, 0x8110d0d9, 0x34bb5ed8, 0xed81bcbb,
+    0x78bd70a5, 0xd2b2c4e3, 0x7af9004d, 0xb811d8a6, 0xfa4c95ba, 0xff866e36, 0x7fb75952, 0x0878c031,
+    0xefd6864f, 0x0d535a09, 0x7fa6c3fe, 0x8d9307aa, 0x22389ac2, 0x5fdad9bf, 0x430b9e76, 0x34c7f719,
+    0xea2ddff5, 0x0f60d8c0, 0x8d721277, 0x645f9492, 0x286d9dba, 0x7b6cffe9, 0xa9487074, 0xa9af22ef,
+    0x9bca897c, 0x4af5a91c, 0x8a13384a, 0x038368f8, 0x8f389f27, 0x132fc939, 0x01bc0d4c, 0x11907075,
+    0xe998f509, 0xfb593f0d, 0xe7b151fa, 0xde49144e, 0x39e11be0, 0x32706d6a, 0x57d59b96, 0x04706f01,
+    0xa1c6c2ba, 0x194a6cb1, 0x750a60a6, 0xcb8bd2d5, 0x448cb25a, 0xcd93774a, 0x52432e2c, 0xe1d9a454,
+    0xc74ed67f, 0xd12719a7, 0x517e9b6b, 0xdca6cc8b, 0x2390cb76, 0x8f875d99, 0xbaa6f1ec, 0x72661e40,
+    0x98689b0c, 0x181d9b6c, 0xea20aa89, 0x2901e45d, 0xbf39b98d, 0x408e4af6, 0x0e1081fa, 0x7851618b,
+    0x6154dbe7, 0xa5efca67, 0x3e7a0cbd, 0xf17b44d4, 0xa2c6f64f, 0xdcd58f85, 0x9add40cc, 0xe72af607,
+    0x13946f59, 0xfd887a5c, 0x94ca6e96, 0xaa7b64c1, 0xe20ff462, 0x1b180d44, 0x38d3f35e, 0xc6dd1d01,
+    0x7d959038, 0x662c0097, 0x0c4b9da0, 0x8805b3eb, 0xe2dc5ab5, 0xa6efa1f1, 0x05b65311, 0x2559f528,
+    0x8076059b, 0xfb1fd039, 0xdd7a7f4c, 0x7121b5a5, 0x7acefb92, 0x857137b0, 0x1364a804, 0x28cb6dfe,
+    0x6429b4b2, 0xec495cbb, 0xf26a0d0f, 0x7efef322, 0x11cf5c56, 0xf6107232, 0x0f60783c, 0xda37340f,
+    0x7708b04c, 0x2f119a05, 0xda98611b, 0x7927f8a8, 0x330c78ee, 0x25099420, 0x3539c2f1, 0x1520b184,
+    0x903c5cca, 0x49fbfdba, 0x971d28c7, 0xf3f6cf2c, 0xe8ea4f99, 0x246e70d6, 0x3d44d007, 0xec8719f5,
+    0x98ee70ff, 0xa74522da, 0x1c45b14c, 0x8bdb1ae5, 0x7e3e4dca, 0x3817b018, 0xc5efe22e, 0x9046578f,
+    0x1ef89b22, 0x1b84de03, 0x6975ae8f, 0xb5092bf2, 0x09dd5305, 0xe5f2684d, 0x35180053, 0x5067ae98,
+    0xe0535aeb, 0xcc6c23e7, 0x1ffc0933, 0x61e35f8f, 0xc832b418, 0xf3c27719, 0xf1ce1ed7, 0x71b5ebde,
+    0x0eff0475, 0xb7d99aac, 0x5316a47c, 0xa71a63f6, 0x6160efb0, 0x76545bfd, 0x3b33ded8, 0xa17d522a,
+    0x8c754bc5, 0x2f200ed9, 0x7b234e3b, 0x94d89835, 0x7895dbe3, 0xe5b177cc, 0x616a953f, 0x2d10a660,
+    0xcb72f1c4, 0x7b094ccc, 0x82194ff5, 0xd14f9175, 0x2cdf3201, 0x340fd884, 0xa3f88bed, 0x7d3c897a,
+    0xd039009f, 0x5cf973f3, 0xf50d5e07, 0xc615c88b, 0xed1677f3, 0x69488882, 0xed6f563e, 0x6c3267dd,
+    0x047b97e2, 0x681b8635, 0xf91eb988, 0xdc814814, 0x6ccb55c1, 0xcac3f00f, 0x607c6fb9, 0x64b89692,
+    0x60ac9c16, 0xf5d475d0, 0x5cd89dfc, 0xe01cdc03, 0xbf6900f7, 0x0db6b5ad, 0x9d5f5eaa, 0xa1966b96,
+    0x6ea17340, 0xd242c7be, 0xce43c1ca, 0x8f6cdc43, 0x17cb63ae, 0xc9a76418, 0xa7e4252e, 0x1c36d322,
+    0x4728b18d, 0x7f65bd61, 0x57451cda, 0xfcd2278c, 0xaa019996, 0x74abf44d, 0x87206405, 0x58a817f1,
+    0x28cb9880, 0x2e57debc, 0xac78b707, 0x8782ccd7, 0x3c098e41, 0x73933102, 0x0f25bcb5, 0x99245b56,
+    0xaef16740, 0xbe99ccf7, 0xa4e7cce4, 0x50425de6, 0xcf848c0a, 0x706dd460, 0xe7af348f, 0xa7241f39,
+    0x39455a1d, 0x1394c117, 0x8e3e723a, 0xbdf31de2, 0xca04ee3e, 0xba83279b, 0x87154259, 0x022ccd1a,
+    0xe125aa59, 0x5a5772fc, 0x6389d2e4, 0xf314db00, 0x1e941510, 0x2d44f645, 0x8cf7f429, 0x20e16a55,
+    0x010c186d, 0x417e5653, 0x7246c948, 0x65003f90, 0xe9fa14fc, 0xac0a7253, 0x156c6d52, 0xdb805eb1,
+    0x025c569f, 0xbc1a9d71, 0x6112138f, 0x82c6e136, 0x352f84c4, 0x9cf9cb40, 0x03a35786, 0x18d13cd6,
+    0x8d0797c3, 0x7b927d73, 0x9393e8de, 0x99c0ceab, 0x493dc4f0, 0x3c6c8e18, 0xdcc30da3, 0x3bba1ac1,
+    0x9a6ac7bd, 0x6c440b22, 0x216d5df6, 0x11c1ba4f, 0xb0b6e803, 0x70277534, 0x6f0bc987, 0x9a508e3f,
+    0xf87806a0, 0xd75c31d4, 0x71e7f427, 0x60276459, 0x9c2d6631, 0x84016b99, 0x5b29ca45, 0x6f8e6142,
+    0xce816caf, 0x17359a89, 0x2d84af37, 0x5a1a7fc8, 0xdf56d403, 0x04f221b2, 0x341628ab, 0x96278de5,
+    0x2432acb6, 0x5284f0b5, 0x84b1eb08, 0xac098cfc, 0x8715594c, 0x869f4b6a, 0xe4a7e3aa, 0x38e7675d,
+    0x90cbefc8, 0xb65abed1, 0xb7bc3cf1, 0x1d25795d, 0x91b16f28, 0x7429e896, 0x070734c2, 0xe728b375,
+    0x4da032b1, 0x4197ed35, 0xdeda2b85, 0xc7303fc6, 0x6a7c4064, 0xbc4ad6d1, 0x58553d4e, 0x933cbac0,
+    0x92d8ccb4, 0x20d7c9d4, 0xdf3e8fe2, 0x9426120f, 0x72bb30cf, 0xff0f8de1, 0x6df62990, 0x752da03e,
+    0x718e78ca, 0x776ad297, 0x7497c627, 0x804be904, 0x6fb82329, 0xd155bdaa, 0x89ec772b, 0x17cddfec,
+    0x0ff1b23b, 0xd0f9fd38, 0x3371fbdd, 0x0a44527b, 0xe7caaeaf, 0xd6c850aa, 0x56a02122, 0x52ed1aee,
+    0x80c323d2, 0x7db35e7c, 0x8bff0fa3, 0x3238822c, 0x55b73cfc, 0x72d409f5, 0x6586bdb4, 0x7a601a28,
+    0xa1a78da6, 0x779ba155, 0x983fcc72, 0xa3018d7d, 0xf11ec7da, 0x303729a9, 0xd24f1fcb, 0x7cdf576e,
+    0x22fcbbf9, 0xe1af40cf, 0x75cbdb25, 0x747c2ce5, 0xfb17b3de, 0x30da3a4b, 0x22e24124, 0x8154b56e,
+    0x20caca75, 0x7bd0e7c3, 0x176db420, 0x5f2789fc, 0x578aa1d5, 0x66579e99, 0x21a49137, 0xc8ee7029,
+    0x4ffa0251, 0x832603ec, 0x70453400, 0x72f46cb9, 0x035138af, 0x33c07d2a, 0xc6cb5e6c, 0x9b2a6b0b,
+    0x25e9c037, 0x788a6d79, 0x098816cb, 0xb26626a0, 0x7ed3ce4b, 0x185174e2, 0x1e5e215b, 0x0f514090,
+    0x2984e0f9, 0x8433d86b, 0xdf7ac401, 0x52dc1e1e, 0x94632179, 0xc4923830, 0x7d08a5bb, 0xf9ced1f0,
+    0x100f9964, 0x2e5e0844, 0xb3cd742a, 0xa41ad92d, 0x027e3e97, 0xe64e93cd, 0xd1efd666, 0x88055086,
+    0xba14dbc9, 0x3fdc9926, 0x85a89b3a, 0xb52f52ed, 0x6e88598f, 0x5cb2f209, 0xd007d89b, 0x67265f78,
+    0x6dc18a2a, 0x1ea4fc50, 0xbd083d5f, 0x21e947ba, 0x21ab3fcc, 0x8b40b860, 0xdb74f9b2, 0x47910309,
+    0xe4ad4cde, 0x9d9b506e, 0xd6e957f0, 0x33b0988d, 0x7581ffc2, 0x56113136, 0xbe7a3469, 0xcd4f6854,
+    0xe9d763aa, 0xc2bbb998, 0x4f100a7f, 0xc16c78e1, 0x55feed7c, 0x018caf9d, 0x7e29c2ee, 0x4b6c0bf2,
+    0x7ff08a99, 0xb3d2855c, 0x192cc569, 0x7fa7c4ef, 0x8316683a, 0xbb845d68, 0x4c5cdf3b, 0x110010fd,
+    0xe043545c, 0xb15b1ca9, 0xed5f6afe, 0x3f6c848f, 0x01f6562d, 0xc3a6c755, 0x546fba8b, 0xe5ce171d,
+    0x21f5d87e, 0x9fa54347, 0xb3d27575, 0x361b7356, 0xa96b50b3, 0xe7e0ad6d, 0xc60e9ccb, 0xc534d136,
+    0x4fa916af, 0xdae3c9f1, 0xcc7ae230, 0x35e4083a, 0xd7f49f12, 0x8405bc82, 0xa06fca3d, 0xef3fa8b0,
+    0xb6418e6b, 0x62ca8817, 0x42dfa445, 0x7b0a2b0b, 0xd7196174, 0x1af0f57b, 0xdcb547ee, 0xcb61c7e3,
+    0xaf261e0f, 0xedfcf0e5, 0x95b09c0c, 0xa4d7c649, 0x2925d277, 0xb6539be6, 0x2ca215f8, 0xf5f009d5,
+    0xb20f0543, 0xc5181ecd, 0x079b6356, 0x1c53409b, 0x2e8c6122, 0x17946601, 0x49c5a50e, 0xcd129d69,
+    0xb12425cb, 0x6f803740, 0x2b6c0da2, 0xe26892e0, 0x013e50a5, 0x51780ac3, 0x2c8a3b21, 0x7a6dc354,
+    0x24e54b8b, 0xc581dea3, 0x77b7dce3, 0x8ee8481d, 0x022dda75, 0x3fbc9e66, 0xae76b82b, 0xf29dfc5b,
+    0x0df30a3a, 0x8f29633f, 0xcaf621b9, 0x1dd2513a, 0x53a48424, 0xec4e798a, 0x7777ec4d, 0x80bef936,
+    0x7fbc9496, 0x8bc5f37a, 0x5564cb8f, 0xaae2b86d, 0xcc0de144, 0x6bff025b, 0xc0752d70, 0x01e2d1cb,
+    0x79a2b42e, 0xda239d82, 0x1014c25f, 0x749dbf1e, 0x1d5b8d14, 0xdc37182b, 0x03d97a97, 0xb4be67b6,
+    0x53b4a4bf, 0x777b04e7, 0xeef54e43, 0xe9f07a94, 0xeffcc796, 0x19fad28c, 0xf068f385, 0x335a9b0b,
+    0x1c8b8f5d, 0x1d8a4196, 0x39b267cc, 0xd78ef60d, 0xeba02348, 0x3445e681, 0x6338dafe, 0x3e7c4f99,
+    0xe6a9ecbf, 0x277aad03, 0x620900a5, 0xae150c83, 0x39f1d08b, 0xe375a6a2, 0x1ef8228c, 0xa8cf537e,
+    0x3cae2a05, 0xb2fe1548, 0xa4ab4854, 0xf357731e, 0x391392c1, 0x7212120e, 0xce431e20, 0x818175c1,
+    0x0c7a85fd, 0x1deb4e7f, 0x40937d77, 0x2c7b40ec, 0x234affdd, 0x31a5fd20, 0xe64b7013, 0x76b879b2,
+    0x1fd933fb, 0x2ff2bc97, 0x731b49a8, 0xd76334cf, 0x1f2bdd63, 0x4eab25ef, 0xf7086815, 0xb3d4b262,
+    0x95043162, 0x453afce5, 0xb5c5c4f0, 0x4f7ea1eb, 0x5057e2b0, 0xb4b02128, 0x231f943f, 0x68d1daf7,
+    0x665d37de, 0xa72207ff, 0x65aa650e, 0x5645ae22, 0x3a7ee0fd, 0xf1a32845, 0xe3774aed, 0x5c7f68c6,
+    0x8b646763, 0x74e0dda2, 0x290caa5b, 0x0e25147f, 0x57a4b0e4, 0x94c1ad1c, 0xa7d60872, 0x38c0f751,
+    0x0dd1919a, 0x17ab1979, 0xc09dd957, 0xa3e32fa1, 0x94639395, 0xae6b45fb, 0xa5d8d417, 0xc1b1c200,
+    0xa7648241, 0xc4dcbdfa, 0x26fd6b64, 0x93c78caa, 0xb93d5ec0, 0x1cf7afaa, 0xe87229c7, 0x7f2c715a,
+    0xc8f51f57, 0x62956328, 0x855a392d, 0x7e32e8f9, 0xca44bb96, 0x47d0e096, 0xedc5633a, 0x5c1641ab,
+    0x3650bd29, 0x08c5d52e, 0x29b20cd4, 0xf2fcf77c, 0x40ff976e, 0xb7bcf976, 0x4a4c42a0, 0x1a1db763,
+    0xf0b06c36, 0x973372a2, 0x6b58626b, 0xda4ff652, 0x77139531, 0xdfcc85f6, 0x39e3de84, 0xd6b0b866,
+    0x5f433877, 0xdda4ebcb, 0x0e9c4ebc, 0x9cc613cd, 0xdfa3e50a, 0x039c8483, 0x15637cf7, 0xfe7702af,
+    0x4e4d8ab0, 0xf0dac821, 0x87223ee9, 0x1e9b9312, 0xc9a56c3e, 0xe4012ed9, 0x206d7151, 0xda4b602d,
+    0xec4e8db8, 0xcd0c1896, 0xb8d4584f, 0x688ce7ea, 0x180d0151, 0x382a42e2, 0x236bc9c2, 0xd608ee69,
+    0xbe11e830, 0xfe7c4f13, 0x1626234e, 0xa2583d00, 0xe17dcd9b, 0x6b98ad0a, 0x671d471e, 0x13186527,
+    0x804b716d, 0x27e84187, 0x1c60eb47, 0x1f1ace61, 0x48cc0299, 0xf915207a, 0x23d65756, 0xc7a04187,
+    0x064b2193, 0xde303b6f, 0x459f7360, 0x70eded09, 0x148ebd87, 0x2a3628fe, 0x60c91577, 0xc53fcdcd,
+    0x3af99234, 0x16184541, 0xe75646cc, 0xebadd3fe, 0x6db188f9, 0x21f67ee5, 0x90abc046, 0x3e43b831,
+    0x629e8013, 0xc4fb04d5, 0x50fb8424, 0x44ab8f4f, 0xb41ec962, 0x9f73556a, 0xb7f410b2, 0xf140ba84,
+    0x80020b42, 0x1b7a947b, 0xf0bbb12e, 0xffd14ec3, 0x5d76496c, 0x4bc4397f, 0xa3a221ab, 0x4a17054e,
+    0x36f9f622, 0xbda5de8e, 0xcfbff3b0, 0x801a896d, 0xeca2635f, 0x1190ce24, 0x8edcdbd1, 0x376849ad,
+    0x8c1f822b, 0x0437a5ec, 0x951aba40, 0x199fd919, 0xc84b174f, 0x740930d0, 0xadf549ce, 0xb43ad033,
+    0x20c430c4, 0xa38835ff, 0xb4ba73cd, 0x347f3d0c, 0xa98fda95, 0x364e2eb7, 0xd5458e79, 0x6ea9289b,
+    0xd1d5b760, 0x408ac704, 0x50462c99, 0x3b342fa2, 0x37dbc32f, 0x92aa287b, 0x4f2507c5, 0xe2a8272a,
+    0xe1678413, 0xf17f93cb, 0x326253a4, 0xfddb11b6, 0x029b4bcf, 0x26bff3dc, 0x2e44195e, 0xd31cce81,
+    0x4e0cecd2, 0xeff05e69, 0x24f4abf7, 0x90e759c0, 0xb2bc8534, 0xf64b0e80, 0xd8aa54a4, 0xbc71dfaa,
+    0x0f4e3d9a, 0xb4369bf2, 0x6667a51a, 0x9c4c314b, 0xd091a047, 0x1593e576, 0x6432e5d9, 0xffc2a0af,
+    0x77682dd1, 0xe98adae8, 0xd551a06b, 0x2dcd100e, 0x227b069b, 0x8b5c39e6, 0x7083d992, 0x56403392,
+    0x4c6cb912, 0xc95d9519, 0x8c041a8b, 0xd77c0607, 0x5b7846f2, 0x2b27f60f, 0xfc27d26f, 0x5b19946f,
+    0x51d29aac, 0x7b9ed504, 0x762ee78c, 0x08bc60c6, 0x39c736a6, 0x4a7bae62, 0xc7e20204, 0x5dbbaa6f,
+    0xa614f574, 0x1f6bacd1, 0x81c7a943, 0xca8a677e, 0xec8eb8af, 0x049c04a9, 0xe884ad5d, 0x34813c7a,
+    0xcafe0032, 0xf07e32b6, 0x71717dde, 0xd690879a, 0x11df0931, 0x3101d378, 0xa5cacd38, 0x9820edfd,
+    0xb06acf9f, 0x273ee53d, 0x34a66bac, 0x5f6b2245, 0x359b6c1c, 0x004f542c, 0xe2fd0112, 0xd5d768ba,
+    0xe1e7a9be, 0xee3baab3, 0xebcc8609, 0x5e12a657, 0x207c39be, 0x21eef6ea, 0xaf1f16fd, 0x87eeec56,
+    0xe29e1927, 0xa18ab6fe, 0x541eb729, 0x2eeca463, 0xc599ef16, 0x8bfee628, 0x7bb5ca1c, 0xf8cc1458,
+    0x097b7225, 0x1e50b32b, 0x9b71b546, 0xa263ca1b, 0xcec87385, 0xd926bafd, 0xc61d793a, 0x2e187d7d,
+    0x4ca18a15, 0x0a49e4e9, 0x6c8ea742, 0x5d5264e5, 0xe0c05fb3, 0x1fa9a4fb, 0x6fc63867, 0x3dc35673,
+    0xbb608012, 0xe15361ff, 0xec26319a, 0xc7fa83f9, 0xd956061d, 0x4abe2338, 0x8f189dfe, 0xe685dd96,
+    0xdc86a300, 0x4012e16e, 0x87ee6bcb, 0x7873141d, 0xf5faa051, 0x5d476afd, 0x1c75e5f2, 0xb41e06f5,
+    0x7f0e0c30, 0xde736d46, 0xe899e65a, 0x0e50e169, 0x531ebb15, 0xd0415550, 0xa1d1a024, 0x774077b4,
+    0xc0327698, 0xede2579d, 0x37f5320d, 0xe36d047d, 0xa326833e, 0x531d2390, 0x9331851a, 0x78796376,
+    0xd47d1fe9, 0x2b341be8, 0x4a6b7788, 0x66446bc7, 0x3afc227d, 0xbdcee307, 0xa7aff9b0, 0x43a86642,
+    0xdb72f601, 0x52b42ece, 0xf6361108, 0xc9712997, 0xbf93e4e3, 0x7ef8758b, 0x158d033e, 0x63449120,
+    0xf5b1dcbf, 0xb4aef689, 0xfffa71b9, 0xb8b4106f, 0x32f59cf3, 0xd17b4f4b, 0x70445c54, 0x1f5b07b3,
+    0xaa8655a2, 0x399e86c3, 0x555a4387, 0x1bb630f5, 0xae8bd9e9, 0x43ec1522, 0xccd5cc17, 0x6ea8bee2,
+    0x275a6c62, 0xa7c3e5ba, 0xe1a26626, 0xa00865fd, 0x9e956803, 0xa046d89f, 0x60e02920, 0x91da775d,
+    0x923baf5a, 0x2a1216ea, 0xcbc5ab28, 0x582e7ec9, 0x2c0ff418, 0x70122343, 0x9b0f3da3, 0xb11525b2,
+    0xd173e307, 0xafba0e59, 0x81a4bf8b, 0x5fa6071d, 0xb2247f22, 0xe2b75fbb, 0xb9592ea0, 0x1a0963f2,
+    0x5335b31b, 0x49769021, 0x77a08ed1, 0x1e8938e9, 0x338c88a6, 0x77d7ae8e, 0xa5aac59d, 0x1f73fadc,
+    0xd88e3fa1, 0x341ba7b2, 0x0dc9703e, 0x5fdca6ef, 0x76d0c1da, 0x59949ff4, 0x45f0dfb6, 0x89173a2d,
+    0xb4ab3d75, 0x03f00f9f, 0x5c97dd02, 0x87730e9a, 0xc3a89d30, 0x777b2b0e, 0xff86be9e, 0xfdb779e4,
+    0xdda602b5, 0x4434c142, 0x21d12e6f, 0xfec41849, 0x675dd80e, 0x09b90bcd, 0xe175b334, 0xf1dfa8ed,
+    0x00000000 }, /* 10**-00000000000000000000000000001692303280103036413316903188563893861960715988388\
+                          55992136870091590247882556495704531248437872567112920983350278405979725889536 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403,
+    0x9098a562, 0xdc92a6fe, 0xfa30f4c5, 0xf335e042, 0xc455c18b, 0x83b682a9, 0x38a5e853, 0xd794236e,
+    0x00000000,
+    0xf8a02806, 0xb971c777, 0x88dcfe53, 0x1d544ac7, 0x500d5a7e, 0xeba5317c, 0xd8e3c7da, 0x930d6172,
+    0xa9bca75d, 0xadd7e262, 0xbc16b5b2, 0xf7ea625f, 0xea55a779, 0x67daf85f, 0x6ee219e4, 0x4080081d,
+    0x6287a4b1, 0xb34beb4b, 0x751f1b17, 0xd9cd3716, 0xcd1951ab, 0x8d02bb08, 0x3c411be7, 0x9d727f3f,
+    0xb85a2917, 0x61a20dd3, 0x3165a758, 0x414db4a5, 0x13eeac98, 0xf89fc8f3, 0x509c5fd6, 0xeda80741,
+    0xc5668402, 0x7ce0555e, 0xc1e256d6, 0x2327ea46, 0x8670d3f4, 0x34e55cc1, 0xab42b18f, 0x8036c68f,
+    0xecb4194b, 0x6c500107, 0xd34168b3, 0x1d6d2931, 0x3d244e67, 0x349f03f6, 0xca28f1a3, 0xd8ed4d43,
+    0x455279a2, 0x64ce1f82, 0x4a20ab15, 0x30ca21e9, 0xc1a990bb, 0xc69414de, 0x373eaef3, 0x856dba9c,
+    0xd9a7d387, 0xc30a575a, 0xa583ca54, 0x735dabb5, 0xeb948a7d, 0xbc5a579c, 0x75119a66, 0xce9a9876,
+    0xefd5a975, 0xcba20919, 0x48c2f1d7, 0x59abb156, 0x93119c91, 0xe7485b99, 0xaea6480d, 0x46dda6e1,
+    0xd9adf7e3, 0xc4cac5c3, 0x328268fe, 0x8abe012e, 0xe4d2bdee, 0xabc970f6, 0xd9ef86ea, 0x03034ead,
+    0x2c414587, 0xbd494a66, 0x4f2aae48, 0x0d574053, 0xf0125790, 0x6f5248c3, 0xe55ed327, 0x3a8a0e7c,
+    0x7c7fa227, 0xfc0eab94, 0xbc0c34b5, 0x6c324ef2, 0xd2a1821a, 0xd6cde306, 0xccdc55d9, 0xedadb7f2,
+    0xd3888c9f, 0xd68f4a65, 0x526cbf4a, 0xa577e466, 0x6bf24f3e, 0x631dee7b, 0x917b6a01, 0x66f258f9,
+    0xa1f31b20, 0xd23cb160, 0x2a6e5a62, 0x4d4d388b, 0xc8d904cb, 0xba6243fb, 0x9ad2d6a2, 0x6c5e2be6,
+    0x45df0882, 0x8e149b6d, 0xe1aac235, 0x2007b199, 0x4f5ee8fb, 0x582867cf, 0x38349fce, 0xd634a30b,
+    0x94e491df, 0xcc6144e3, 0x71c76a8f, 0xe16fae4c, 0xdb2af0e1, 0xd6727bf7, 0xe8935200, 0xaf8eb160,
+    0x5f7eec65, 0x65215984, 0xc0bd5486, 0xc1922ff7, 0x158bc1dd, 0x64327de8, 0x8860d91f, 0x54208599,
+    0x1db19305, 0x25fe7175, 0x274aaa70, 0xaa24f886, 0xdd8c9422, 0x059712f1, 0xf230bf1a, 0x49dda7ec,
+    0x714b83be, 0xb151dc81, 0x72fdc5a2, 0x6f0c044c, 0x9764d3f1, 0xd7672f36, 0x8a9b4ef8, 0x6f4909b5,
+    0x2a77f63f, 0x62833065, 0xfbba3475, 0xa59001e2, 0x8909bd3a, 0x3097e7a9, 0x0257e929, 0xbed3b570,
+    0x141b2a27, 0x347a165d, 0x9647d17a, 0xf7356276, 0xf517aa12, 0xb0fec29a, 0xf55b6774, 0x3d9100ed,
+    0xfb83b687, 0xc52a7d1b, 0x0a85e01f, 0xeae8f3aa, 0x9188557d, 0xe358e42f, 0xa65ed0ac, 0x1491b0b0,
+    0xed766fd3, 0x6a376fab, 0x66273f36, 0xe51dcb55, 0x617d9344, 0x2623ed65, 0x1c2917df, 0x31457a24,
+    0x719d5a43, 0xdd136bc5, 0x32499931, 0x947fc8c6, 0x69e35c67, 0x1cd7c0ca, 0x70a5c91e, 0x0780919b,
+    0xd9cf059f, 0x878215ff, 0x5a81a7bd, 0xe4cb95d5, 0x905090c1, 0x0f507091, 0x719ce680, 0x3ed28372,
+    0x08366652, 0xf3f1c123, 0x5a61dfb2, 0x4830df5b, 0xd51ee81b, 0x0a3432b3, 0x741d9a66, 0x8dde31c4,
+    0xb3395ede, 0xaf76ce1d, 0xc8f14e94, 0x1f2151b4, 0x940750b1, 0xb3fb15f8, 0x5bed28ac, 0xfdd8013e,
+    0xc728742e, 0x4f9e92f4, 0xd06d2186, 0x05136a0d, 0x7d7edc03, 0xc5c202b5, 0xd342718b, 0xca6808a0,
+    0x83e43c73, 0xba08c2e6, 0x422a8f52, 0xdea7260a, 0x46065007, 0x5f164bb1, 0x206ecf98, 0xb81f36e9,
+    0x190b89b8, 0x3452bcf8, 0x279ae012, 0x43f299b1, 0xcf32575c, 0x4126d15b, 0x1df7e373, 0x1f3b8b76,
+    0x92d570d3, 0x87e39e70, 0x27bbc3c4, 0x6cd21b89, 0x86ebc6ca, 0xbc037877, 0x95d702f7, 0x1d0370c4,
+    0x18a2f405, 0x0cfd61ce, 0x9bc42851, 0x2c33dc99, 0x0d394b2e, 0xa32469a5, 0x3ccaeb08, 0xa6af6907,
+    0x0db7af12, 0x9c3646d7, 0x0d5010e3, 0x80d9d0a4, 0xe7604ce4, 0xeb5b8b57, 0x57b8d13a, 0x8be88185,
+    0xdd0f9b81, 0x3868eff7, 0x1e137d7a, 0x441c0690, 0x6340d090, 0x1f65e1fa, 0xaf48d960, 0x18dedbf8,
+    0xf9d0420e, 0x0a344f8a, 0x4d24d9e2, 0xed4d8d1e, 0x142ba73b, 0x1f28cdda, 0x6d85ad7a, 0xd2228bbf,
+    0x93d812c7, 0x30e47d07, 0xb200be58, 0x8010a0ec, 0x2d623cf5, 0x24723164, 0xfe43d199, 0x04926574,
+    0x05df74f7, 0x3fd6ff52, 0x9db0a162, 0xfa3e8c10, 0x84e87ab4, 0x6d576024, 0xf60822a9, 0x7bfe010e,
+    0x4cc5230d, 0x8d7bb16e, 0xcdd1c865, 0x44cbd377, 0xd4abe801, 0x468014db, 0xaec4a783, 0x18731524,
+    0xe3f804ef, 0xe7847126, 0x2ffbf912, 0x1d2243f6, 0xf7e8b06e, 0x90e20166, 0x9bd10c32, 0x121c14df,
+    0x92f13545, 0xc993ca5d, 0x11eb342d, 0x9654fec4, 0xf6f2ddec, 0x74d3a48a, 0x48c9a633, 0x0a35cea7,
+    0x46b1b560, 0x77bd9423, 0x236ad52b, 0xaaad8f65, 0xb59f5ba2, 0xe43e636f, 0x53bf8723, 0xb5075372,
+    0xa248c30b, 0xc33eacbc, 0x647e9eff, 0x01ac06f2, 0xb9d8e175, 0x0e71a9b0, 0xceac39df, 0xf84e9854,
+    0x7da698b8, 0xd91f91f2, 0xf56832a1, 0x307b2417, 0x7523d84d, 0x0120b936, 0x63c3df35, 0x81b468bd,
+    0x15edf147, 0xa29890e5, 0x9155b6ef, 0x896f654a, 0x3eaaf8a0, 0x07d57364, 0x446d69b2, 0x86e96474,
+    0x7acaafdb, 0x5ecf0540, 0x0444c0d9, 0x62c2a858, 0xb55a6037, 0xa430af5b, 0xa748336a, 0xafbca885,
+    0x0b02437a, 0x9c3175b4, 0x896e74c9, 0x0c4eb2cc, 0x8a973fb9, 0x8b600b99, 0x250ff266, 0x15b038b1,
+    0x9676d975, 0x299c3e9e, 0x0966586f, 0x35562f83, 0xc273b303, 0xb2131fdc, 0x63ec6e35, 0x281650b4,
+    0xd3505858, 0x9dde3a09, 0x138eca5d, 0x3e4852db, 0x35e91224, 0x6725ab88, 0x60941fd1, 0x7471bf62,
+    0xbd6052ba, 0x4bb54979, 0xf0d5c6fc, 0xe0bb3c92, 0x891ab7d3, 0xcd95e51a, 0xf47b8c3e, 0x30042d88,
+    0x4368bf29, 0x31935032, 0x94edde12, 0xe922ba39, 0x434ef471, 0x3e2f5dcd, 0xae60b454, 0xac4933a7,
+    0x936399f6, 0xfd47c99a, 0x817f5755, 0xf42b75d5, 0xe2fb612d, 0xe68ee473, 0x7177c3bb, 0xf776163d,
+    0xf9575174, 0x123f6ae5, 0xf09468cc, 0x7389f449, 0x04067bc4, 0x364238ac, 0xf46b7b6d, 0x15a956d9,
+    0x87a7da36, 0x0fea6157, 0x248bc134, 0x7f85d7af, 0x3297705c, 0x13cd4f6e, 0x219138e7, 0x8872b84a,
+    0x3eaa5090, 0x147772c7, 0x25ef926c, 0x5005cd69, 0xcc84d1fc, 0x035b6e66, 0xcf6920be, 0x5db91ac1,
+    0x0ae588c6, 0x8e7ba665, 0xce96e8c2, 0xa3227e96, 0x16676d59, 0x885d51e0, 0x01186f7d, 0xaa107a15,
+    0x201ae1e0, 0x555e347d, 0x722575a0, 0xf18c1e7f, 0x1dfd682a, 0x466c7ff1, 0xed049f9e, 0x5acf1193,
+    0xde82f9b3, 0xf75398d0, 0x4a01ad35, 0xa796881c, 0x1d1c1c6e, 0xf03dd6b9, 0x55159849, 0x2dc0839a,
+    0x57256e19, 0x55b12a42, 0xbe717c93, 0xb5bd2dea, 0x7a527c46, 0x66a6f627, 0x399afde9, 0x2cc8973a,
+    0x37bd4f81, 0xf739fe6f, 0x2764f423, 0xfb2b48cf, 0x7031ef87, 0xb506af7a, 0xa8f0a9f8, 0x39fd9331,
+    0xa4632eeb, 0x8974a0cf, 0xd84bea3a, 0x248ffbf3, 0x3ce79152, 0x7720d59b, 0xf03a9489, 0x9fca2148,
+    0x75d96f5c, 0x979f9bb0, 0xe26b8025, 0x37a59058, 0x48d2525b, 0xd9dafc90, 0x47c11548, 0x3f99a3c1,
+    0x9a091276, 0xab26c9f0, 0x6e587e18, 0x0906ec42, 0xae52ab5e, 0x182402f9, 0x2681d9a1, 0xc6d5bf65,
+    0x4c3f43ea, 0x8fe6a08b, 0x6842c10e, 0xb48ad477, 0x543a0de4, 0x75d21d4d, 0xae1cb111, 0x7b9db139,
+    0xf620b05a, 0xeada21a8, 0x44bc1a0d, 0x0dfae348, 0x8dbdb666, 0x737971a5, 0x32c05d40, 0xf06d9062,
+    0x49196160, 0x468cc9b5, 0xf442c65a, 0x9660df94, 0x8f5b382a, 0xb6e65373, 0x83b207cd, 0x47e624ef,
+    0x0f261149, 0xa221b674, 0xc020cb57, 0x6028361a, 0x68fc394e, 0x72be3e22, 0x003dd677, 0x77ba9bc0,
+    0x695c5e0c, 0x77d1c68d, 0xa7baa5bd, 0x5b476fdf, 0x24d592ad, 0xb921cd6f, 0xfb7d9356, 0xe5674566,
+    0xfe1da9f2, 0x716ddb18, 0x79008888, 0x18736e10, 0xe5c87e9c, 0xcbcac9dc, 0xda3de3dd, 0xa4dd5c76,
+    0xdd9ddb9b, 0x765dfc2d, 0x75d4ab79, 0x709d862c, 0x31f049f7, 0x153c95bf, 0xb32c3766, 0xcb9145a3,
+    0x8516b038, 0x137342e5, 0x5a36cf70, 0xbcf750ff, 0xd947e52a, 0xd7681a1c, 0x73aae984, 0x97056191,
+    0x6917dd99, 0x7eeb776f, 0x11f566df, 0xf043bef1, 0xcd2bff3b, 0x58436984, 0x51c68ecf, 0x59408c9b,
+    0x481732cf, 0xf253c33d, 0x75583186, 0x05f724e5, 0x3e751094, 0xfef79115, 0x2c1dd8a1, 0xc6a2dd2e,
+    0x8b862cd7, 0xfe2efc09, 0xa511de50, 0xabfb7a72, 0xe1a4757b, 0x379309c4, 0x76934ad0, 0x07a448c3,
+    0xad457bba, 0x94630016, 0x6c2aa2a9, 0x2feb9257, 0xe87573f4, 0x1c5efc96, 0xb3a4d885, 0x78420df8,
+    0x2e6400a4, 0xe6dde533, 0xacc29412, 0xa1363460, 0x9418cbe8, 0x03700324, 0x6a3e87f1, 0xafe233f6,
+    0x052c2c90, 0xccd4b0fa, 0x9f7ab902, 0xcb16dbd8, 0x422e4b3c, 0x1106d610, 0x5ebd9c2f, 0x8c8ead42,
+    0x92d703ad, 0xb72f3ed7, 0xe5a9c9fb, 0x680c965e, 0xa3e0d4a6, 0x17756f8d, 0xf16b426d, 0x7b3f7dae,
+    0x5a90b91b, 0x1bfb5767, 0x9a351564, 0xdf0bfdbb, 0x3fc01e03, 0x688e259e, 0xd83b0593, 0x595d171d,
+    0xe6213e5e, 0xe14bf85f, 0xebb40978, 0x433dd5e9, 0x6153ac93, 0xf7941398, 0x16c61462, 0x8519a3d8,
+    0x975fbdf3, 0x4b431941, 0xd3d40610, 0xdfe0f856, 0x9753bcc4, 0xf16c2d0a, 0x8464092e, 0x00d87bb7,
+    0x05aca83b, 0xbd738a0d, 0x13e0989b, 0xf47f70f8, 0x62bc41c2, 0xcde0ace8, 0x07d5fd14, 0xbf2c7752,
+    0x750ae8e8, 0x368e7cac, 0x3bc2009c, 0x0639e969, 0x91ca6aa4, 0xcb86a864, 0x3ce0753e, 0x47722bcb,
+    0xd2c7cfdd, 0x1b181668, 0x5346ec06, 0x5bd389a7, 0x0a2b8cf9, 0x2adda901, 0x12fc7b6e, 0x5e8635df,
+    0x5d812158, 0xfeb7e134, 0x735f9eff, 0x66c01b6d, 0xb3e638c2, 0x76fed991, 0x4f1f9001, 0xadb01b83,
+    0x5d745345, 0x3e3c28fd, 0xb9a85881, 0xe16f6153, 0x690b0c9f, 0xe3aa293c, 0x2047f52b, 0xcb1315dc,
+    0xd423a35c, 0x2dc873b2, 0x227fd3de, 0x497dbf85, 0x81f0d807, 0x3d482bba, 0xde0f6914, 0x576fe59d,
+    0xac9cbe4e, 0x02bbc54d, 0x2d3e93ff, 0x999ab7d9, 0x83ab6dcd, 0x8feeee9c, 0xf6c9e085, 0xd805cf18,
+    0x4a8893e2, 0x54c56719, 0xa44e6419, 0x28c81c97, 0xeb2cf8be, 0x66706cfb, 0x105009f4, 0xa39d7b79,
+    0x953b14f2, 0xf16ba76e, 0xbbdee5d0, 0xced6188b, 0x9a92f934, 0xa2899714, 0xc603f315, 0x40752457,
+    0x643fce65, 0x49f58515, 0x28150716, 0xdaa829c9, 0x13e816c9, 0x62486fe2, 0x7597ecf9, 0x02e4cb4c,
+    0x9f2999fe, 0x3873411e, 0xa586146a, 0xbd852309, 0xcf878f11, 0xb602ddb9, 0x839f20b8, 0xa64fa6bd,
+    0x8ba04e05, 0x19cad2ab, 0xd4e60c34, 0x9eb1869c, 0x4d02ec03, 0x4c319b7d, 0xc4ff375e, 0x9b743d9b,
+    0x3bc4787d, 0x4e46eaff, 0xe68b49b3, 0x375895bf, 0xb5e971ef, 0x54d7ad97, 0x5851cbf2, 0x97906cbe,
+    0x151c7b7f, 0xdc925ab0, 0xf5826a3f, 0x866f4463, 0x233f5416, 0x3d13a589, 0xbd9b98fc, 0x91c41f9c,
+    0x5a042899, 0xf39c1270, 0xda4443a1, 0x36ec7633, 0xceb55e3c, 0x72f44e67, 0x45c0ba34, 0x7bf33694,
+    0x5feb4eb7, 0x4eef1267, 0x715b2583, 0xe2a2162b, 0x79898d97, 0xc3a26b50, 0xf0d90f8a, 0x856a961d,
+    0x47cd0fb3, 0x49e92ecc, 0xe2e02cdf, 0x82b4a5cc, 0x1f981846, 0xf4cd4802, 0x1e367596, 0x5d39c16d,
+    0xf859b581, 0x512d53ce, 0xa93d771d, 0x0c4be390, 0x0757d3e0, 0x4a446dcc, 0x990cb006, 0x6a5b3c4f,
+    0xef742814, 0x0e663f41, 0xdadd82a1, 0x92535730, 0x032ad570, 0x884963d9, 0x0b07e234, 0x110e015f,
+    0xd61832c5, 0x1a182495, 0x41f232a6, 0xa87fe059, 0x8dca6848, 0xca9c4692, 0xccb635a3, 0x4988eb0f,
+    0x01823a05, 0x3a86c0f1, 0xa191c890, 0xcce132c5, 0x7f74ceed, 0xca35a75c, 0x1ea2ddb5, 0xff2724fc,
+    0xfd12b18c, 0xd1a81acc, 0x642e59a3, 0xbd2b8311, 0x81b37d23, 0x211ae9c9, 0x669dbe18, 0x6c44fa5b,
+    0x512b4c60, 0x53a76c15, 0xb2050c77, 0x8685763a, 0xcf418b50, 0xd400a574, 0x91f9202e, 0x6fc9752b,
+    0x4c6e6634, 0x9c0d04e3, 0x8d16a484, 0x2406ef17, 0x94f0c9b9, 0x2afcc039, 0xdc418a6b, 0x18809be4,
+    0x7058d3a1, 0x0c3662d9, 0xcfa4aa4f, 0xb1908f9b, 0x02e224db, 0x891e92f4, 0x2c314f21, 0xe953df59,
+    0x561c714d, 0x1dbb6a91, 0x1b858c09, 0xb78716cd, 0xc470ebc1, 0xd1d10007, 0xe9019c2f, 0x88ef0a4b,
+    0x95862394, 0xe7271e9c, 0xe7aeeae8, 0x63c84c85, 0x72b78665, 0x1b6e5b62, 0x73970ba8, 0x0685f773,
+    0x2a7d48a6, 0xe548e338, 0xd3290e73, 0x03c26aa9, 0x64b95e60, 0x1ea195b0, 0x839d70c4, 0x0e954508,
+    0xf9643672, 0xd8b4f14c, 0xec0f3f67, 0xd1b5e973, 0xf85f8eb9, 0x2c728194, 0x4158ddaa, 0x7e311921,
+    0x20aab01c, 0x7ce4a272, 0xbc68a560, 0x9d1f3794, 0xf3fb5362, 0x2dd25861, 0xf07664b3, 0x6a1e913c,
+    0x38466324, 0x013eef8d, 0x162510e5, 0x56662732, 0xbee5f60b, 0x4bd0861d, 0x7f936552, 0x42cabd07,
+    0xb4f5bd9e, 0x093bccfd, 0x6b582b24, 0x659f38fc, 0x9f712e3e, 0xf07ee3b8, 0xb15a7daa, 0x23dad1d3,
+    0xcdef42f4, 0x996892d2, 0xc8765951, 0xbc9623e3, 0xc392ed49, 0x81070bc6, 0xef196eb7, 0x360c3c75,
+    0x8179c3c5, 0x94c9409f, 0xffe9f1e7, 0x2e76a4dd, 0x8de68d0d, 0x7f33523a, 0xa16c64ae, 0x30252626,
+    0xc8e0f76a, 0xe22749a7, 0x9c098345, 0x7e7002d0, 0x998da960, 0x526c91b2, 0xf77c98db, 0x83265130,
+    0xa2f43588, 0xfdd5a908, 0x0e3ce0d0, 0x20b46e54, 0x2a6346b6, 0x66689b47, 0x5f66b876, 0xfa4f6f88,
+    0x5d8b1a58, 0x8dca6333, 0xa313814d, 0xa2ac0bea, 0xb6e2c2a6, 0x948c4fd0, 0x3e4d5bda, 0x25f54999,
+    0xa929ea88, 0xb6b74636, 0xb37afb39, 0x330162c9, 0x2f15a5ad, 0x3a706111, 0xc7ecde44, 0x0760a939,
+    0x37ac5f57, 0x7a19d761, 0x4544426c, 0x9fbf814e, 0x23a36f83, 0xbf3b7649, 0x1931266d, 0xadbd2488,
+    0xba1b20b8, 0xce4126df, 0xa04bd375, 0xccfb9d31, 0xea919e92, 0x1d51a185, 0x5d3c6d1d, 0xe6b82aca,
+    0x3c36c822, 0x1897809d, 0x86f5bbf0, 0x71fa0a0c, 0xb38ee95e, 0x4d78f7b4, 0x41792655, 0xd4571568,
+    0x73803758, 0xe3f12335, 0x578aba09, 0x9eb3d869, 0x50d6b635, 0x4ca1870d, 0x9207c348, 0x447ee352,
+    0xe9281537, 0x446c5314, 0xce22f5ca, 0xea2ee4ad, 0x92744785, 0x99e58500, 0xa66ea097, 0xb46acd71,
+    0x040d69bf, 0x77610e32, 0xd0a4449f, 0x90081273, 0xd836e8c5, 0x1e3d4e05, 0x2474e768, 0xd610064e,
+    0x3aecf2e5, 0x6d5012fb, 0x52e82367, 0xd8f990d1, 0x27ccdbcf, 0x98e808fc, 0xddcc44d9, 0xa2f707ae,
+    0xfc7ee2cc, 0x822b1798, 0xe0bfcc0a, 0xacbba5bc, 0xe61a0fa0, 0x9124e67d, 0xbe6276b3, 0xf569c99f,
+    0x00000000 }, /* 10**-00000000000000000000000000000846151640051518206658451594281946930980357994194\
+                          27996068435045795123941278247852265624218936283556460491675139202989862944768 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01,
+    0xc84c52b1, 0x6e49537f, 0x7d187a62, 0xf99af021, 0x622ae0c5, 0xc1db4154, 0x9c52f429, 0xebca11b6,
+    0x00000000,
+    0xfc492e46, 0xc162883d, 0x009494a8, 0xa8d3aec6, 0x14597b0a, 0xdd7b5184, 0x6b064e4c, 0x703563b6,
+    0x2478572f, 0xf22395a9, 0xb91c6320, 0x04624a52, 0xca98563a, 0xb387a3d2, 0x5bb248f1, 0x546ed3ec,
+    0xae4cd8cf, 0x5cebd437, 0x73d074cd, 0x2b73b3a4, 0xdeb4c86f, 0x2650c942, 0x18ad4ce9, 0x9de93575,
+    0xd36dd66b, 0xdb8fddf0, 0x4b95222e, 0x9f50e78b, 0x3a223001, 0x5f12c593, 0x54f0fff3, 0xd4da72d2,
+    0x6721ba38, 0x3ce86e36, 0x03eca911, 0xb4db8b65, 0xb3b22e5c, 0xda7b2d59, 0x79dcc79a, 0x57ee45e2,
+    0x69907839, 0xc5521155, 0x45159704, 0x11c16925, 0xb244e754, 0xfeceb653, 0xda39d817, 0xc122dcdb,
+    0x6e954fe8, 0xbe8b03fa, 0x7c260c7c, 0x56a17d7c, 0x8d4ca813, 0x2658e894, 0x8350c7ae, 0xc3821cd7,
+    0x1c0964bb, 0x71091777, 0xa31039a0, 0x5fbd7690, 0x11958587, 0x9f1ef11c, 0x0db54b6c, 0x1ce84ad1,
+    0xef00cb80, 0xd6248c9c, 0x128f9b8a, 0x2d9816c6, 0x9d96c722, 0x54d077ab, 0x703c73a6, 0xc79d440f,
+    0x2f8116e9, 0x1b35b9bd, 0x85eb5328, 0x70d5fd1c, 0xdf69de4c, 0xb110fec6, 0x41fe1065, 0xb2ed93bd,
+    0xb335dc6a, 0x86f3b493, 0x9e293e69, 0x85db5716, 0xe4f6904e, 0x242a7000, 0xf88a82ec, 0xb0869c5e,
+    0xc5b40b37, 0x0087ad91, 0x668dcdc5, 0x0dabc07c, 0xf2b356f8, 0x637c6b2c, 0x803c398e, 0x2c345a49,
+    0x9929d076, 0x66e381ec, 0x3d7b5a97, 0xaec9e019, 0x5e05f83f, 0x548f3fba, 0x53594969, 0xe9ec53f3,
+    0x0eee59ed, 0xef974e58, 0x59b93d63, 0xf7f1d071, 0xd731f3d1, 0x89ec9afb, 0x64638ce1, 0xa7a79f79,
+    0xe95156ee, 0x99ad227b, 0x416613c6, 0x67b65de3, 0xd5fdfe6e, 0x3b47ac3c, 0xa9b52b73, 0x7ed5a4ab,
+    0x04dc8974, 0x19a56c0d, 0x0d1d67c7, 0x24e50e3c, 0x884ea1e1, 0x1e586c36, 0x5b0e85c3, 0xcec4f9b1,
+    0x4f6c3c43, 0x8b112960, 0x247ce39b, 0xcc560ff2, 0x6e0e21eb, 0x59bd6b04, 0xe3f477b8, 0x159b39ad,
+    0x00480dad, 0x39b2a93a, 0xf993079c, 0x3983db25, 0xed2383f9, 0x1d297e2e, 0xa611f998, 0xe139ff04,
+    0x5ce9bc77, 0x6fd9d2a6, 0xf45b6844, 0xec1b0b01, 0xb74e2aed, 0x6baa4905, 0xc5a0626e, 0x79a410d7,
+    0xd085eac1, 0x7bc363be, 0x55e941a6, 0x576a5a3e, 0xcf18f02b, 0x2e0768f8, 0x13959dfd, 0x25276d7d,
+    0x40897684, 0x6fc482b1, 0x4d0b5d96, 0x4c2bd318, 0x5efda481, 0xa308450d, 0x8eac565a, 0x0aab83b5,
+    0x982953a6, 0x54e991d1, 0xb63b84c9, 0x540e7ce3, 0xdc36f373, 0x962c0c44, 0x5c3aeaa7, 0x3bfc9371,
+    0x488eb418, 0x4b27a41c, 0x9be781db, 0x7d007ddc, 0x2c4a4ca2, 0x6e233fb9, 0x31be623e, 0xe66f0bb2,
+    0x3c8751dd, 0x024c4ee6, 0x8227dfe0, 0xb7b95e69, 0xe05c9ca5, 0x2936902c, 0x69caa433, 0xe10674b3,
+    0xe3247d4c, 0x2e99640d, 0x9c0b4116, 0xb32fa0e5, 0x34a19e13, 0xa79f361f, 0x21b8e5a2, 0x7ccbcb88,
+    0xe2812747, 0xc9ba04c9, 0x17a42d27, 0x49cbf5ee, 0xaebef06f, 0xf284e4dc, 0xcd2060e3, 0xf5a1529b,
+    0x75cd7276, 0xcfcced67, 0x5982bb4f, 0xc115e852, 0xf02a6a65, 0x181cc3a3, 0x8c6c8841, 0xc20e9f01,
+    0x9c25daf0, 0x0081f93e, 0xd7b75fde, 0x8115fe48, 0x1714e253, 0xbc2cfbe4, 0x0a7d7a6c, 0xde532c41,
+    0xb011f75f, 0x271a6a39, 0xa93e7234, 0xd98d4411, 0xa740b571, 0x1e1b81cb, 0xa1c738cc, 0x14f3671d,
+    0x902b17fa, 0x063d0f43, 0xafbd1944, 0x7c7ac90f, 0x9a07dbf1, 0x571a3d42, 0xd9659413, 0x35fbceb0,
+    0x5fe8cce4, 0xfad1f19f, 0x491e9679, 0x27bbc242, 0xa2bf64b4, 0x9abf7d9b, 0x07d733a8, 0x5b6a27fe,
+    0x5689f9e7, 0xf3706647, 0xc43d80bb, 0x70536457, 0xe3b29948, 0xb8d22f94, 0x3c0096e6, 0x371ae3ec,
+    0x1779e508, 0x3a0c13d4, 0xe426c130, 0x66a26904, 0xc5b8a737, 0xa7fba46a, 0x798d9a6b, 0xac027aaa,
+    0x1adafefe, 0xd14e556c, 0x177dd8ee, 0x9103f0cf, 0x0c18dfd3, 0xa177596f, 0x4c2d4152, 0xb8fbdac3,
+    0x465f7b00, 0xd50b8f27, 0x96671a9d, 0x1e6bf69e, 0x2ac663da, 0x1fe0a7cf, 0x00f7ecb3, 0xe6ea4055,
+    0xe7353e05, 0x42f2f3ad, 0x224877d0, 0x5d823119, 0xc1f80fb8, 0x237a8a55, 0x2ff97513, 0xb0b88832,
+    0x4d2cc6f8, 0x85747256, 0x39cac395, 0xaf87a20f, 0xd09619bb, 0x0747e8f4, 0x8f89a889, 0xa195e274,
+    0x05c2cde4, 0x45efdd20, 0x642cde10, 0xb1d58367, 0xc4647804, 0x497819f4, 0x5b0954ad, 0x4af1d4d5,
+    0x69ceda14, 0xd9b99d7c, 0x4fd8ae88, 0x90b45ab7, 0xb6b63265, 0x1995a1cd, 0x7d6442a2, 0x8a889a34,
+    0x5b8fb561, 0x07debd15, 0x9f045feb, 0xa92aa3d4, 0x086c3970, 0x566a6be3, 0x9abaa3f8, 0x34cdfb03,
+    0x460c3f33, 0xf8825d0b, 0x118d4369, 0xa81f1342, 0x893ac971, 0xe541301a, 0x8c4bfac5, 0x0ad0ad70,
+    0x5b2560af, 0x1a59b371, 0x7555225e, 0x7abfab45, 0xe926b2c7, 0xeb7b2b72, 0x97b27245, 0xf24c9afe,
+    0x80477cc2, 0x782fb9b5, 0xf1cef971, 0xe857979d, 0xfb3c9b64, 0x93b9a16d, 0xfc203e84, 0xeba49794,
+    0x2f914332, 0xbdb2ace5, 0xc26cb009, 0xb62e7e84, 0x3deea558, 0x99d75b8a, 0x379d6e79, 0x62f11cb6,
+    0xb9b7e418, 0x65e35d0b, 0xe25c55a5, 0x47b186e8, 0xfd8dc2e2, 0x2e981bc8, 0xd2cbcbd1, 0x17bbe57d,
+    0x5593a295, 0xdeba5eb5, 0xe579bc6a, 0x239c50f2, 0xf17fb755, 0x6c262b02, 0xfb74e57e, 0xd621372d,
+    0xb38e1d39, 0x8244c7c2, 0xa6e97b39, 0x37d867df, 0x64396010, 0xf6bef413, 0x7989a79e, 0x4c96fd58,
+    0x74ad1068, 0x48953218, 0x0398c6fa, 0x251876e5, 0x7740b12e, 0x93318ddf, 0xc3ef028a, 0x86c1d70a,
+    0xc592e5a9, 0x778afcc7, 0xe23104df, 0x04a5283e, 0x0d226221, 0x9202889f, 0x2ae18984, 0xf1bf2d12,
+    0xb92153ef, 0x17c19cbd, 0x9ba31239, 0x40c54b73, 0x7f32c221, 0x57b73000, 0x7a3dd78b, 0x178eb396,
+    0xa22f9842, 0x8cec1241, 0x06de5b51, 0x0ff4a63f, 0x4ca2070d, 0x0f613f00, 0xbc41c2dd, 0xba6a2a3c,
+    0x05f6e2a7, 0x1296defb, 0xc507cf99, 0x0c983b7c, 0x7415c9e1, 0xfdd83455, 0x0fe51015, 0xbc5491fa,
+    0x1af14af0, 0xbf4e6265, 0x820ca1c6, 0xc92ff49b, 0x93a19ada, 0xc3e8ee97, 0x1aa92b3b, 0x2c3ccd8f,
+    0x68c5d9a9, 0x6cb12e2b, 0xf63cba02, 0x25b0c03c, 0x33819bf1, 0x3e4a794b, 0xec494f7d, 0xe7d5eb20,
+    0xbbcfb859, 0x6b245d50, 0xb45996f2, 0xcd25c4bc, 0xee9ceaa9, 0x4957d63f, 0x7ac5ae49, 0xaf488092,
+    0x2974ad4d, 0x8c0e9f41, 0x40748a03, 0x4a417a47, 0x023b322b, 0x2e87f89c, 0x9a6018f4, 0xca017a2c,
+    0x43a04bd4, 0xa74740ce, 0x2c4a6e8b, 0x844555e3, 0xbbc722cc, 0xd3aaa3e8, 0x6831aeb6, 0xaf786ba7,
+    0xcbcc7db0, 0x89150e49, 0x5be1361b, 0xbaf83b09, 0xc3435643, 0x2a8f745f, 0xbb24a253, 0x6dc256dd,
+    0x5ae55123, 0x12ca3134, 0xf132e0b4, 0x01961f30, 0xe2331374, 0xee406d76, 0x3e8d83bf, 0xbcf7f717,
+    0x9192ff4c, 0xa0bc0662, 0x04abcf1b, 0xa9dd62ec, 0xa986b634, 0xa8f3df95, 0xd1493834, 0xccb23351,
+    0xd06ccb40, 0x3f9648c2, 0x333bdc32, 0xe0ede665, 0xdbb45382, 0xcc949259, 0x2f78426c, 0x8e789ad9,
+    0xe39e3cd0, 0x59f07876, 0x503e5c86, 0x55f4fac9, 0xda06162e, 0x8646b358, 0x8867a080, 0xf3af4a6b,
+    0x53576489, 0x59b84b23, 0x9a174ec4, 0xa363e094, 0xc7823729, 0xb2d9c4aa, 0x836364e3, 0x73171907,
+    0xcdf73d3a, 0x83a99fb2, 0x3740cb17, 0x145c8d0b, 0xeee4020d, 0xe79f2f37, 0x959d1121, 0x0bcb2d8d,
+    0x2d4129de, 0x9271aa61, 0x27f52f9b, 0xdd30931c, 0x396d1434, 0x6195a1de, 0x2622859f, 0xdaea24da,
+    0x6df09ea6, 0xa56b58e0, 0xbc244c59, 0xc2aa13c8, 0x0ab0b710, 0x0b02e16d, 0xe99ceec4, 0x09bd9cd3,
+    0xca0421b7, 0x7b7d37f3, 0x33d988a7, 0x050f2fee, 0xa54fd14f, 0x3cbec2e6, 0xf09cc775, 0xd3922938,
+    0x4c9b278e, 0x5e42f18c, 0x51adfa81, 0x72629aee, 0x4dc541c2, 0x07de0675, 0x8cea005e, 0xc8443d40,
+    0xd92cd766, 0x34bfb3cd, 0xcdb82853, 0xee7ec8a3, 0xa01a6e18, 0x1886c688, 0xf6202639, 0x05dbae55,
+    0x59221c02, 0x122d1910, 0x025fb3b5, 0xe65a9da0, 0x1c043696, 0x661cc6ae, 0x818a084d, 0x8c066943,
+    0x65ea99a2, 0x4bb2787f, 0x03ab933c, 0x53c370b6, 0xe3ccc053, 0x792623ae, 0x0ed09eb5, 0x43002e6d,
+    0x3104aa17, 0x90da59bf, 0x0b94a2d1, 0x57927931, 0x71e13d62, 0x3ffbf040, 0x45b7803d, 0x4873cc01,
+    0x0faa0979, 0xf40318c5, 0x5215bfee, 0xbf313d4a, 0x9f854f5f, 0xca804dfa, 0x07aa5fef, 0x9d0d3478,
+    0x61327682, 0x633012c4, 0xdf9bc257, 0x8a3c1103, 0x2f308d76, 0xc9f27e2e, 0x7e684fdd, 0x4b9c1c6b,
+    0x17641b03, 0xdd976b2e, 0xe868c229, 0xe1eda374, 0xe491f483, 0xe6ad3650, 0x71a0276e, 0x2a29de96,
+    0x9dbaa276, 0x0c381117, 0x50aa042f, 0x334c3a88, 0x4d588a9e, 0x893b0c1a, 0x2269abd0, 0x267fdac2,
+    0xb5c026db, 0xe643d311, 0x7930e350, 0xdf6787a8, 0x47213f40, 0x9cd80372, 0x9153c30a, 0xb6d4d0c2,
+    0x30880431, 0x0d72a82a, 0x2c279b02, 0xc0683a01, 0x76ca584f, 0xfc6f609a, 0xa0a6b8fc, 0x0f1c7ad5,
+    0xcfb3f238, 0x7ee9b731, 0x5a3adb44, 0xd078538f, 0x7162839e, 0x67e08d14, 0x9f06045e, 0x3aa40718,
+    0x51373bff, 0x27799d10, 0x2ba78b22, 0x4e7431e3, 0x02086576, 0xf321e042, 0x2bf60769, 0xbc56733f,
+    0xf45cc4bd, 0x075d42c8, 0xc171947d, 0xaba19252, 0xad70c7fb, 0x5395cc27, 0x2ac005da, 0xb537961e,
+    0x130b134f, 0x62173877, 0x33af46cf, 0x57a4b502, 0x1278a983, 0x04abed3a, 0xaac5b7ca, 0x753067d4,
+    0x86ca7183, 0x9ae75dd2, 0xe708892a, 0x608f24cd, 0x8f8149b0, 0x5a2cd0e0, 0x021dc011, 0x7f87738d,
+    0x65e2f4dd, 0x072b6bcb, 0x73f11e65, 0x6839e915, 0x0f9961d5, 0xb52ee52d, 0xff439ab8, 0xa80c82d5,
+    0x6d6a668b, 0x47d1280d, 0xb69ac240, 0x5eed1a13, 0x04695318, 0x29f911ce, 0xf5c44c46, 0xb0c03236,
+    0x095c49ab, 0x36b70c34, 0x119bb1f5, 0xcd297591, 0xb82ea57c, 0x4567acdb, 0x33c61d16, 0x4fa39abc,
+    0x8a789b38, 0x73957e6b, 0x8bd8fda8, 0xd92fbbb5, 0xb9cd50b3, 0x63db5111, 0xda707c88, 0xc50b6259,
+    0xfce677d8, 0x7ca9ca1f, 0xa8b0c3a5, 0x1b6c6be2, 0x747e24eb, 0x4d4c8a80, 0xa62d95e1, 0x2ecb28ab,
+    0x032f8a66, 0x9c15f9e1, 0x4aceb876, 0x32aa2844, 0x739af7d5, 0x89431f80, 0x53499022, 0x006c6cc5,
+    0x4e7216db, 0x4b447369, 0xc8823db8, 0xcdcb5893, 0xc407e5ae, 0xc5168fb5, 0x9eb2bb36, 0xb607b4cb,
+    0x68edecd4, 0x7951b583, 0x01f0e330, 0x1d8713fe, 0x29deaef2, 0xba994ba6, 0x5f1c28b5, 0x00ec670b,
+    0x60803998, 0xe5df7ed1, 0x6a42c14b, 0x38ce2d25, 0x5878f223, 0x8ed54c0e, 0x6cb990eb, 0x05942c87,
+    0xb24f02ab, 0xfca3dccf, 0x35a402db, 0x59d62095, 0xa726cc90, 0xf9409bb2, 0x713247fe, 0xdc77fc77,
+    0x86b45c6f, 0xd1c945c8, 0x18fc4692, 0x44fce852, 0xbe7fafc9, 0x872cdcc3, 0x5aa12416, 0x43114c81,
+    0x394c2d0f, 0x6a1e1026, 0xc5e35b99, 0xdd65b65d, 0x5340d9b7, 0xbb82ea37, 0x1a275b61, 0xf4ea5859,
+    0x05d166d4, 0x4af0ebec, 0x2a5c6930, 0x6bd6d181, 0xe1b35557, 0x1b7121cd, 0xc79d2acf, 0x25b11237,
+    0xb671d5ce, 0x6ad6cc68, 0x028ce6b1, 0xf9b5740d, 0x0714ec7b, 0x7adfce98, 0xdf00f260, 0x52c0d6e6,
+    0xed91ed05, 0x286ae5df, 0xf7eef0e9, 0xce0fb7d6, 0x90555fb8, 0x4286e084, 0x53076d7c, 0xaa762449,
+    0x1c50475d, 0x6cad0538, 0xf298f958, 0x60a97d9e, 0x2263d42d, 0x71cc4aab, 0xead4bca3, 0xcfe0c304,
+    0x29212a4d, 0x1c7ed902, 0x426f2c70, 0xd04834c1, 0xf741c890, 0xe10c80dc, 0x1e1727fb, 0x0c34a399,
+    0x7758eb88, 0x964019bc, 0xb7a390c5, 0xc1325cba, 0xc9abb0a2, 0xc2367cd8, 0x7710da81, 0x17c6b094,
+    0xd5f93d5d, 0x39f18c81, 0x0e05c2db, 0x97e83351, 0x0232c89e, 0xb46cb927, 0xfeea81fa, 0xeb29c428,
+    0xa2695792, 0x98dc8f3a, 0x97eb9689, 0xb8eac120, 0x401004ba, 0x004de046, 0x40d906b7, 0xa0148c82,
+    0xb165ae5f, 0xab43597b, 0x3210d543, 0xfe939264, 0x9a51ac0f, 0x3ef3947c, 0xce136a81, 0x24e5d1b1,
+    0x7d4a000e, 0xec5eaa2e, 0x19f28436, 0x0c285461, 0x00d12eb3, 0xf1005bb6, 0xf0fd7987, 0xe2bfa1b0,
+    0x9c7e68d4, 0x1b45b401, 0x107fe1b4, 0xb943f47f, 0xf2af4f09, 0xf684ccff, 0x33b6a2c3, 0xa364f151,
+    0x1fd9a9e0, 0x575ef40f, 0xcf291ca5, 0x265f3b2f, 0x6b82c233, 0x37f01fa4, 0x706fa84d, 0x46e4475b,
+    0x6bc67048, 0x90088cda, 0xd42c1239, 0xaf17b322, 0x4f966376, 0xf74ac2a9, 0x9254f9f2, 0x7bf03ff5,
+    0x4a3632f4, 0x9564b303, 0x9ca5046c, 0x77b01d6d, 0xe8b8d7a6, 0x1b91a64b, 0xe05ed9d2, 0x1ff2b7c5,
+    0x523f38a1, 0x023d625e, 0x270511bd, 0x25fc4657, 0x5be8a706, 0x7e28884f, 0xf1e0ec93, 0xb31e35ba,
+    0x9d96e627, 0x7519de88, 0x4c427a6d, 0x611ba164, 0x7d796a47, 0x7a984ce7, 0x60ed3b6d, 0x4cbf5589,
+    0xe2868863, 0x0634d20c, 0x1d684036, 0x0cc70b58, 0x6d4ba25d, 0xda691857, 0x0e4de22d, 0x451d63df,
+    0x5adde3db, 0x63caf650, 0xb4acf74c, 0x08c2db92, 0x55eb47de, 0x50d7dc57, 0x9a05e600, 0x4fe7c76c,
+    0x23a2874f, 0x8b39883d, 0x30184e55, 0x34e929c1, 0xa39da83a, 0xa9993a47, 0xf2be1e25, 0x3fb47af2,
+    0xa84ff76d, 0x75f3b48e, 0xd3cd13a3, 0xdd6df5bd, 0xe4459906, 0x87af36b8, 0xee4d0ac7, 0x9394b500,
+    0x27542bde, 0x8e1ac4a7, 0x0746c081, 0x427d9df8, 0xfced8223, 0x5f883e59, 0x7b6eb2a4, 0xec43772d,
+    0x70fd5665, 0x1ae50bd6, 0xa81e4ba3, 0xb41b16c7, 0x1c60a00e, 0xf4682c28, 0x99bbd03a, 0xe812f02b,
+    0xe6b3e1ae, 0x44129de1, 0x06294715, 0x4859b5cb, 0x7f516bb8, 0x344f0670, 0xf395d1ae, 0xdd2233eb,
+    0x33e76186, 0x00c47661, 0xe67f37fe, 0x2ea4c3b6, 0x30dbbb3f, 0x51c6ff28, 0x46e409cb, 0xfb864734,
+    0x4453fa9f, 0x6a1c027f, 0x96ae16e2, 0xfd3b7a40, 0xaabea0ee, 0x93c25669, 0xe2623811, 0x9d4a8b47,
+    0x7462b644, 0x9e8277f4, 0x673b920e, 0x69154bdb, 0x539c5b9a, 0x0fe552cf, 0xc8e321ed, 0xa94e2a8f,
+    0xd0573f67, 0xddae1bc2, 0xb1f00795, 0x940ba0d4, 0x25949655, 0xd6527593, 0x21118700, 0x665b03ed,
+    0x00b8bfb9, 0x5135ab38, 0x4241631a, 0x317e0840, 0x45e7dc25, 0xefe597d6, 0xc4f6d320, 0x6b1da654,
+    0xae0b5996, 0x963012d8, 0x225dc338, 0xb1e23b1f, 0x4c07018e, 0x0cc7af73, 0xd4f0565e, 0x17dea9e7,
+    0xe0b59d99, 0x8a0dd6ab, 0xed3c0166, 0x4943d074, 0x677c890d, 0xea3933d1, 0x457cfdd6, 0xeeeba620,
+    0xf27ee042, 0x1869dc6b, 0x130093de, 0x00f0146e, 0xba9bcee1, 0x5f982583, 0x73bf117f, 0x619745d1,
+    0x00000000 }, /* 10**-00000000000000000000000000000423075820025759103329225797140973465490178997097\
+                          13998034217522897561970639123926132812109468141778230245837569601494931472384 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500,
+    0xe4262958, 0xb724a9bf, 0xbe8c3d31, 0x7ccd7810, 0xb1157062, 0xe0eda0aa, 0x4e297a14, 0xf5e508da,
+    0x00000000,
+    0xfe22da78, 0xf14ab38e, 0x9aed1851, 0xd14b34c1, 0x711c6e0e, 0x6cd245ac, 0xe8b4a047, 0x5d35a2de,
+    0x9768e3ca, 0x788f0afb, 0x60b7b435, 0x77ac6700, 0x9d557b39, 0x9afc3da4, 0xd4f5689a, 0xc206c63b,
+    0x1c9f52f1, 0x6bec49e1, 0xc37bf40f, 0x4ce329af, 0x1eff8779, 0x42970722, 0x0c52e40b, 0x2bfab627,
+    0x50448f06, 0x3937b5a0, 0x8d84bc79, 0x920e168b, 0x1c4e5594, 0xa9600b87, 0xeb618f7f, 0x54a25c8a,
+    0x0f2aa79a, 0x82682ff6, 0x72a73776, 0x0c2cd331, 0xdc1902d5, 0xdfbfab62, 0xb8c65518, 0xaa97e76f,
+    0xebcc00ec, 0x76595624, 0xe6d86a63, 0x1f87efa3, 0x690826c0, 0x61026cb1, 0x74f67a52, 0xcb4e9c78,
+    0xa7506077, 0x873008e3, 0x704185f0, 0xfe735f8d, 0xd1cea33f, 0x1fedbbc0, 0x5d430c98, 0xf4779f8d,
+    0x0db9a40e, 0x3e8e9df6, 0x5728e0fd, 0xe5f4e15e, 0x05d8db78, 0x8b60febc, 0xd9d4bcb0, 0x59f5aa12,
+    0x7c904eed, 0xbd01d678, 0x8b25258f, 0x44b4406b, 0x7ebd3a48, 0x313937bb, 0xf51f3a20, 0xa111972b,
+    0x222508fc, 0x9f429cc6, 0xd07abfbf, 0xd52b53ab, 0xde70a8b1, 0x81b31fed, 0x19ca4369, 0x3d28b6e8,
+    0xe732dd96, 0x54c45ade, 0x9718ebf1, 0x606b46d6, 0x31116e33, 0x35c7b814, 0x3fa7b006, 0xe7b2712f,
+    0xe4a6d34b, 0xa15dc393, 0x0095acbb, 0x089b14bc, 0xda525d26, 0x7715cd8c, 0xbf93b694, 0x0bfe234a,
+    0xb6ef1e49, 0xd226d603, 0xece3f286, 0xcf18a00b, 0x2c159997, 0xf1eb98ca, 0xd663753e, 0x396d4e2c,
+    0x75f1d313, 0x4322df59, 0x4ac46932, 0xaa3e648a, 0x54747528, 0xb2af106f, 0x90ab55e6, 0x002277b1,
+    0xcaf58d71, 0xb5448e4f, 0x003a6996, 0xf6c3828f, 0x10757633, 0x00106a29, 0xe8259cfc, 0x305849b7,
+    0x88368f22, 0x92f85120, 0xddd44ad6, 0x334bee3f, 0x0e20a856, 0x3377d2e9, 0x04ae8f8a, 0x14d21a46,
+    0x020ec279, 0x149eb838, 0xdd231199, 0xb7586cef, 0x7832c722, 0xce2b0a25, 0x1b27b317, 0xe5cd7323,
+    0x0f26b990, 0x60b6ce4a, 0xc83ff480, 0x4ed31d8e, 0x2899b08e, 0xe7aa7d36, 0x5af36bbb, 0x2cde4026,
+    0xf4bac5be, 0x5887816c, 0x91326d5e, 0x01387785, 0x0db0a05c, 0x672a23d5, 0x1c064dd2, 0xa0d48911,
+    0xb922571e, 0x80cefe10, 0x556f3b21, 0xdbe45f58, 0xc56c9524, 0x9bc795f2, 0xd2dfdb57, 0xe415428f,
+    0x196f8bb6, 0xbfc24b61, 0xbeae4e54, 0x8365f0a8, 0xeedaabdc, 0xd49520af, 0x35d83808, 0xf953864e,
+    0xece1b1ee, 0x8bb085ba, 0x2d9fcd5e, 0x51f5ac29, 0xbf0df63e, 0xdd26d149, 0xd26dd0a7, 0x60ad3c8b,
+    0x29f52deb, 0x65b04da7, 0xe5ab4242, 0xb12951ca, 0x0424274d, 0xb017f6b8, 0xdb1ddb74, 0x5d6bab61,
+    0x2654af92, 0xa1575fbb, 0x65572c74, 0xa2ae3517, 0x710020a0, 0x17b921d8, 0x0aa5e7da, 0x9bc5eca1,
+    0x7444d89b, 0x282e235a, 0x2be05fda, 0x94f101ab, 0x37b0038d, 0x3b90104d, 0xba1b0d06, 0xefb2a519,
+    0x56455d21, 0x7e294d8f, 0xe5469d91, 0x496779c6, 0x3693fcb1, 0x14803433, 0x538fe2de, 0x22cacc67,
+    0xdb010c9a, 0x4c4c41c1, 0x7df92bfb, 0x43c45f21, 0x9c30f46b, 0x47f93147, 0x402ef6b8, 0x3f125d58,
+    0x45d635f9, 0x55d23e65, 0x449d79ad, 0xbb58699c, 0x9c5fdb7c, 0x80fba4bc, 0x5e158898, 0x94615484,
+    0x647a283a, 0x64669b77, 0x1609cc61, 0x0bb15cb6, 0x6e16e182, 0x2965b180, 0x122163c2, 0x872b2142,
+    0xd7fc84f5, 0xef3f9130, 0xd1072c94, 0xf29140e6, 0xc57c3c55, 0xe03207a3, 0x3ad44701, 0x4a2a4110,
+    0x618f98a3, 0x2b343d20, 0x59ddb6a6, 0x9ba12a61, 0x30ca676f, 0xd5497229, 0x296a068f, 0x8b7c56f5,
+    0x5c490dfc, 0x3f761d46, 0x18abfb9b, 0xd22a1818, 0xc5bb2985, 0xec5b1dc4, 0x14a3a2ac, 0x662d2985,
+    0xa318340d, 0x10f83dc8, 0x00e38093, 0xa8acbd0b, 0xaa4f970c, 0x04414e0b, 0x0486cce1, 0xc1cf5b18,
+    0xb5bd443a, 0xb3779f0b, 0x5b734825, 0x0e07271e, 0xc4e0e938, 0x6bfa0721, 0x5182a813, 0xff8983b9,
+    0xcf2d59f7, 0xd89c52aa, 0xfaa5494e, 0xedf11948, 0x235d7a59, 0x772d7622, 0x859c34a0, 0x433923cf,
+    0x2f20d3a1, 0xad8c8a54, 0xd4158c74, 0x2516e2e1, 0x07195c9d, 0x17095fdb, 0x07d8fb58, 0x8af3bc1a,
+    0xa34ca9ea, 0x16fcacb2, 0x4a3ba6cc, 0x95b9de48, 0x89004f54, 0xe52281ea, 0x0f5e6063, 0x2a83055e,
+    0x4adea015, 0xdee78e42, 0xbdc415d4, 0xf9cd6d1f, 0x61c8a8e7, 0xd099d74f, 0xe0ffb5a2, 0x7841a84c,
+    0x81cc65d0, 0x713be48f, 0x5bb90518, 0xf1630704, 0x380397a6, 0x13c3ec98, 0x76041b95, 0x0d4bccd0,
+    0x8424ccbd, 0x15ba59b0, 0xb0141fb5, 0x17a65290, 0xd166bad1, 0x9b13a016, 0xa16f2e3a, 0x2855f6a3,
+    0x8ee8692c, 0xa68e045d, 0x835f1dac, 0x8a88f048, 0x39e59344, 0x0624b4d5, 0xeab6a87e, 0xc967a883,
+    0x6e04475b, 0x7c2ca2e8, 0x25eb00cd, 0xfb4edaad, 0x47c70e23, 0x2c9468bf, 0xeb49d7fc, 0x03a9a3f7,
+    0xa87ed1b9, 0x97f1580a, 0x57e9711a, 0xe3e4d8d6, 0x6a44f25e, 0x9f5f607b, 0x13b64f31, 0x73fad431,
+    0xe3dbe1f9, 0x6e6ecfb4, 0x0b2b4755, 0xfb855c8f, 0x673a3808, 0x4e8b6ddd, 0xcab1b8d8, 0x58439f69,
+    0x85846446, 0xfe28fad4, 0xdb2264f9, 0x0ab5cbad, 0xafeed971, 0xddae9be5, 0xe62c6acb, 0x356e780a,
+    0xa0468a24, 0x79917e87, 0x5b229899, 0x128e9d01, 0x294320bb, 0xe6938668, 0x1abb973b, 0x133eb64e,
+    0x1f9d87d7, 0xaf051cf4, 0x30db597e, 0x9684b044, 0x48c07427, 0x19fde227, 0x14b2bcd4, 0xfad74981,
+    0xac116c92, 0x54983392, 0x292804d4, 0x4e89ea38, 0xbe41cdfe, 0x7c3cc893, 0x67b24f17, 0x72c5870b,
+    0xd55cac42, 0xda330a2a, 0x24c483d3, 0x8810ecfc, 0x649c6a6d, 0xcc52b851, 0x40ad8ce7, 0x5e7dd084,
+    0xfd062d85, 0xdbeb7acf, 0xc5a2d9a8, 0x7460a00b, 0x6ce177a5, 0xf295349b, 0x70dd6eb3, 0xac3cec8d,
+    0x499a3817, 0xd1764d81, 0xa1531a43, 0x3e132766, 0x6f1b7f39, 0x054fbf66, 0x8b232939, 0xb0f32320,
+    0xfdd06fa9, 0x5e288d4b, 0xf6a22db8, 0x55103046, 0x0f99daeb, 0x61a70e31, 0xe91c6df9, 0x4cf3f18a,
+    0xb10f981c, 0x5f12b43f, 0xc2ec16d0, 0x5c92360a, 0x0d3a81b5, 0xd58ff365, 0x2ad76114, 0x3c291e18,
+    0x37453bd5, 0x37682404, 0xcc3d8dd3, 0xe724287e, 0x856e4949, 0xb6c8f2ce, 0xf951af40, 0x27549dc9,
+    0x7526c081, 0x0d920e04, 0xcf6efa2b, 0x2a50b52c, 0x4aff98c6, 0x7067fa60, 0xf7f1d14f, 0x7e950a6e,
+    0x9165fe12, 0xf0acf464, 0x156c1213, 0x1269f7af, 0xcff0fa20, 0x8be24307, 0xebb2998c, 0x23f9f2b2,
+    0x5f087da5, 0xc775471f, 0x266cb805, 0xcd93a742, 0x88758ddb, 0x632396f0, 0x4408b977, 0x4e7841a2,
+    0xdb4e7e86, 0x42bacdb4, 0xda42e087, 0x9e7610d9, 0x44c4ab9d, 0x0f85eda5, 0xefcd0440, 0xca4dad12,
+    0xef64d169, 0xf666086e, 0x8bcad98b, 0x728177e4, 0x450e0626, 0x736d213b, 0x88bd0402, 0xf4974620,
+    0xd07d38be, 0xf01f19ae, 0x12414307, 0x3dbd49ca, 0xdeb2ce96, 0x06f1d479, 0xab9e0eb1, 0xc4e4490e,
+    0xdf39c18f, 0x7f0e5b80, 0x9683eac4, 0xaaefa0ac, 0x0e2efbef, 0x90f5e678, 0x2cab06ba, 0x6f7cb59c,
+    0x0e4102b8, 0xb7bd540e, 0x14c197cb, 0xfee15c2b, 0x3a9f9bda, 0x2b16c87f, 0x1cacd34c, 0x6e292493,
+    0x8d3c5025, 0x705ce678, 0x8b4050d7, 0x92e1899c, 0xf9cdf6c3, 0x31fe669b, 0xdcad3a35, 0x40b1be2d,
+    0x45ad4fa5, 0x27ee4696, 0x5b726a1b, 0xf56b0827, 0x90850a4e, 0x04d83b6b, 0x602740fc, 0x5ede1550,
+    0xed08d3e3, 0xf69c60da, 0x5d069445, 0x35488416, 0x9abe3118, 0xc58de42a, 0xcfdf894c, 0x77b16a27,
+    0xd63c8ccc, 0x32041300, 0xf66adbfa, 0x631a4be3, 0xb4d4ed67, 0x70605c85, 0x0bd8a9a0, 0xe78c3a9d,
+    0x1c51883e, 0x2b18ddd4, 0x079a0fed, 0xbe5fa41e, 0x88231d8f, 0x1f7360f3, 0x0cf0d65d, 0xff15fce6,
+    0x6f009aa5, 0x6409fd5d, 0x9ff39d4c, 0x2d3c4e59, 0x800203f9, 0x65d2c55c, 0x6c69fae8, 0xae66a78c,
+    0xc305108a, 0xe4ef6d37, 0x862b88e3, 0x326b92da, 0x7d088fc6, 0xfc22119e, 0xa9bde7f1, 0xdd58b752,
+    0xa6051e98, 0x8253a02f, 0xa62fa6bb, 0xf1f58c5a, 0xcfa80281, 0x2cf34074, 0xf4b72d41, 0x027b88b3,
+    0x74c0d097, 0x1c76960d, 0x0d8a962f, 0x7a7e6ee1, 0x1c007405, 0xd75b970d, 0x0a8af230, 0x884694f5,
+    0x6e300e01, 0x6e7b94ae, 0x5f0d410e, 0xc6bfa0dd, 0xc902fff0, 0xb9540dcf, 0x097fe9d7, 0x0c7a5c89,
+    0x886aabaa, 0xcdd7fbf5, 0xe0bae08a, 0xb9ba58e7, 0x2a9f4188, 0x0d327d07, 0x91c13c1b, 0xe44548c0,
+    0x02bfa7be, 0xb3bcbd51, 0xc0558437, 0x06de0e52, 0x8d15aaef, 0xa25a2540, 0x375e4fa1, 0xbc8ee373,
+    0x6e16c543, 0xbe53d17f, 0xfba923c7, 0x3965529a, 0xf74fb6e4, 0x9cbbea5c, 0x3d29f5e4, 0x7ddd2f16,
+    0x004b4760, 0xd10d1088, 0x3eba8d75, 0xb1885f06, 0x7cb4808e, 0x8e0ed9a3, 0xf47b960c, 0xd13a1bc2,
+    0x8823e44e, 0x58c44663, 0x60b362e6, 0x69db134d, 0x599ee636, 0x8a5de9d6, 0x8bdaf202, 0x4826103f,
+    0xc22e062c, 0x44b02c31, 0xdc952787, 0x37b4addf, 0x95cc0cd7, 0x5c176d19, 0xae3fe3cb, 0xbf69076e,
+    0x83a6b36a, 0xe3ffafcb, 0xea357d83, 0xf21873c3, 0x44188b97, 0xf70649a0, 0x26004cc3, 0x589492b7,
+    0x4bfd7b98, 0x53347847, 0x585b9811, 0x140b3ef6, 0x470d5394, 0xc0581a55, 0xe626ade7, 0x33f4700b,
+    0x46a1ade7, 0x94085c35, 0xdd5e6f78, 0x8cfcc76c, 0x65c25345, 0xb9862822, 0xde9e1237, 0xe6ae7eaa,
+    0xf8df7a4e, 0x0a8c7f5c, 0xe4644616, 0xd3364a3e, 0x6ac5cbe5, 0x6efa519f, 0x79e2193f, 0x34c5adc8,
+    0x0d4b73ce, 0xd13cdc34, 0x8eb124c7, 0xb2efbf3a, 0x0f7f0e4a, 0xc291b60e, 0xfaaac8b2, 0x46f1867a,
+    0x516d830a, 0x40c4f5ac, 0xab7db643, 0xfb425b9f, 0x88d0a152, 0xc354743e, 0x1e9a66de, 0xd811fee3,
+    0x7bb6d371, 0x9fba7d48, 0xcc1607e3, 0x8a223430, 0xef57cae8, 0x77eed719, 0xf2a4115a, 0xf1e56cfe,
+    0xeda27bcd, 0x7791eb13, 0x3baba07d, 0xdeceecab, 0x928bbfab, 0x1fb2db30, 0xda98ccce, 0x3f649c76,
+    0x79766c8a, 0x963dd887, 0x12317a9b, 0xe8328720, 0xb68c7700, 0x26df6950, 0x6546218f, 0x2e8818b9,
+    0x8e044c5e, 0x3e4437e5, 0xd37bbad7, 0x29b7b780, 0xad0c3248, 0xc65d2f80, 0xb5f0b3d3, 0x18b9cbf9,
+    0x7a52a731, 0x43a166fe, 0xb08aeb84, 0x13ea39d2, 0x9800e7e7, 0x6d2928bf, 0x5c73a811, 0xbb485f6b,
+    0x624d3302, 0x72593e07, 0x3b6ee06d, 0x91b10ffa, 0xefe62f24, 0xf3c9d046, 0x7242314b, 0xeb8c5e21,
+    0xeed90872, 0x74538c46, 0xfd782b37, 0x38d9e87a, 0x878fa2b2, 0x1806862c, 0x9b18e49f, 0x99feb901,
+    0x403095d3, 0x7ad9c598, 0xd9ea4cc4, 0x837b1562, 0x8fc55b0b, 0xc2e18e66, 0xef4dad36, 0xb490da8f,
+    0x632cbabc, 0x3d822105, 0xe05c7fa3, 0x5c5280b1, 0x698fd752, 0x3954f7e2, 0xa9103f41, 0x1926bb78,
+    0x3829f156, 0xd7eeea13, 0x1e744296, 0xe58f6028, 0xecefbc3d, 0x9160f820, 0x0a2c3b0a, 0xf0b15f0c,
+    0x41289d83, 0xfcd47436, 0x03c7d40d, 0xf21b5c9a, 0xc66c396d, 0xc11f72bc, 0xdf4f8fc8, 0x3c16482a,
+    0x618a8061, 0x19527525, 0x07947e4a, 0x1c200b52, 0x8b694aa6, 0xcfac0f9a, 0x7f3b2159, 0xe2e7a605,
+    0xed323c67, 0x1e599f88, 0xfaf4023e, 0xb07efa53, 0xb55db052, 0x67a13957, 0xb5820dff, 0xf0d352ce,
+    0x3776b2a1, 0xdd4da490, 0x85e3bab6, 0x2055e29c, 0xb6ea6ceb, 0x440a1a45, 0x5e43a5b5, 0x7dc9b6b7,
+    0xc18815c8, 0x831d7052, 0xaa0d6cfa, 0xf3198a86, 0x442bc78c, 0xb240d5be, 0xda2a6ab5, 0x7594f096,
+    0x47a7e12c, 0x296efa20, 0x76a55d54, 0x9ff83672, 0x3fa8dd80, 0xe36080ac, 0x64206628, 0x32f56324,
+    0xfea5a644, 0x4d7be3ec, 0x12a88ea9, 0x16870f58, 0xc4b8d991, 0x87fa38a1, 0x463e3870, 0x3a94a0f4,
+    0x789649dc, 0x5b241820, 0x7cfa8ee7, 0x0ff94e82, 0x2bf2c6e4, 0x4a79505b, 0xc8dceebf, 0xe5b633b6,
+    0xfa9fb03b, 0x7c8f496d, 0xdcc737f1, 0x2d74d9a8, 0x4c95eb3b, 0x78154f31, 0x6075efb1, 0x66aff8b7,
+    0xbb48b5d7, 0x4a189ba3, 0x78f7232b, 0x5378e0cf, 0xcc33e58d, 0x43ff10ca, 0x10449950, 0xbb5ef512,
+    0x27d53589, 0x1168c6f7, 0x9f3c9bb8, 0xdc0964e9, 0x3a7f4577, 0xb86d4fea, 0x6d69dcf5, 0xafd88fd7,
+    0xa7ff101d, 0x578a61c9, 0xef881462, 0x7b8101de, 0x0771ec96, 0xe99da829, 0x8c788eb1, 0xc32403ac,
+    0x8049f718, 0xc5e3d312, 0x4b864401, 0x9b2d0e3a, 0x4f52e76c, 0x7446b4f8, 0x4d285e47, 0x23276c5b,
+    0x5734c69e, 0x6786568d, 0x7c587855, 0xec52f88a, 0x75f92cad, 0x720acccc, 0x423c4c5b, 0xdea15c9a,
+    0xfc0f8346, 0xc6cca5a1, 0x48d7ed35, 0xd63e6ae1, 0xcc7c6de3, 0xa0c8e3a6, 0x53a41861, 0x02a74a13,
+    0x96a56e19, 0x7dd23235, 0xc9692345, 0xcf7eeedb, 0xa736d8fa, 0x398d7b27, 0x9ee9b9f6, 0x520844f1,
+    0x7f877236, 0xc89a86d6, 0xc0f124fb, 0x60b0cd75, 0x311cd4e8, 0x2fc7e35a, 0x24d5ec9f, 0xd6dfac7a,
+    0xd24ed421, 0x5af57a0b, 0x9a96d296, 0xc0cf6af1, 0x3f7394c8, 0x5cc45dd0, 0x7e317569, 0x06a8d7c4,
+    0xf95c0d38, 0x934a8840, 0xa4cbd507, 0xc08ec44e, 0xf6421c5c, 0x2167b30a, 0x357692c0, 0x569f9206,
+    0x7e877439, 0xd12f539a, 0xb13e6aa4, 0x5494b1b9, 0xf0ac8c09, 0x2a825cea, 0x97bc879d, 0x8c1f449a,
+    0x395209eb, 0x9dc55482, 0xf0522f85, 0x2cab754b, 0x939136cd, 0x13aeaaee, 0xde62228e, 0xfc9e53cd,
+    0xa75d4342, 0x4e171f4e, 0x9598ad1f, 0x32a2c537, 0xfd67cc2c, 0xc860c7aa, 0xbee7976f, 0xf113f8e1,
+    0x7adedd6c, 0xecfa5155, 0x0aaacd4b, 0x8bf784a7, 0x0c3b9f6e, 0x82294ed1, 0x5e3c756a, 0x32a69041,
+    0xa5feb7ea, 0x162a383c, 0xaff9d631, 0xf461dcf4, 0x4a64295c, 0x005ca6f2, 0xd8d77dfe, 0x6d33b182,
+    0xb27a36af, 0x2d3be584, 0x07f7dba4, 0x04ba4436, 0x117b3811, 0xc31cd4c7, 0x94309532, 0xe758eddb,
+    0x4e08f104, 0x13309958, 0x4eceadb7, 0xdff3e894, 0xc784e537, 0x5269c361, 0x342941e2, 0x67d8548d,
+    0x36556a64, 0xd498ea4a, 0xf51c284a, 0xdf1f6525, 0x8c1476f7, 0x45eee211, 0xf7937cbc, 0x282cc4da,
+    0x2861ca47, 0xce747742, 0xb203b3c3, 0xb3b13836, 0x231e0d6b, 0xad4a9bb7, 0xc4d20b55, 0x61301d73,
+    0xf6ca814a, 0x159fcc71, 0xf0d11c93, 0x13554c11, 0xa3fddf16, 0xa2c24554, 0x10a15507, 0x10b65f8e,
+    0xf8711dde, 0x2a3fa23f, 0xedb6a3a6, 0x8ebb9ccd, 0x41d3942b, 0x9d4f7902, 0xd3c56dc8, 0x88d20242,
+    0xf3964384, 0x4289589f, 0x36aba696, 0xcd10b5f4, 0xc69c8253, 0xe700b62d, 0xd23bc1e0, 0xf5459bc4,
+    0x4a3cd7a8, 0x9f5f452d, 0x7da733b9, 0x203c60fa, 0xd5779a8f, 0x1c238c67, 0x8383687c, 0x9e48c323,
+    0x00000000 }, /* 10**-00000000000000000000000000000211537910012879551664612898570486732745089498548\
+                          56999017108761448780985319561963066406054734070889115122918784800747465736192 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80,
+    0x721314ac, 0x5b9254df, 0xdf461e98, 0xbe66bc08, 0x588ab831, 0x7076d055, 0x2714bd0a, 0x7af2846c,
+    0x00000000,
+    0xff10fda9, 0xca2658a4, 0x3eb63bc8, 0xa426f8c3, 0x0385cadc, 0x5c9b9335, 0xd27de39b, 0x0f23e560,
+    0xa2db5971, 0x41f59a30, 0x169ccf64, 0x413f3eac, 0x8e2f7a1e, 0xb2bb3417, 0x009e17d9, 0x3e24d5fa,
+    0xdffaf8d4, 0xe418039e, 0xa091ef56, 0xe30fb9d4, 0x87f854ed, 0x87cd7575, 0x3c662e74, 0x86303e3b,
+    0x98cc8687, 0xca34e715, 0xb2f7b163, 0xc303138a, 0x5e2dceea, 0xb64cc9b6, 0x3ef2744a, 0x7510047f,
+    0xb98ca34d, 0xd22b4d03, 0xe1102f04, 0x9d28720e, 0xa66d53b8, 0x23ed5804, 0xfd07414c, 0x49864290,
+    0x3859514d, 0x6cb3e528, 0xb3937ee2, 0xed677a93, 0x7e10548b, 0x75a6e6a2, 0x8d0270eb, 0x0e395eda,
+    0x030c9d00, 0x442c9e22, 0x51919eb8, 0xaf43c688, 0x66242441, 0xc143c0c3, 0x6e1a2b19, 0x126d50c1,
+    0xa8eec192, 0x47dbfe63, 0x25f154f9, 0xfb8c8895, 0x1677d7e0, 0xa0b910e5, 0x49727373, 0xe7ea5b2d,
+    0x7985fb72, 0xc2754ce7, 0x1cd95add, 0x014d5039, 0x59a1c9c7, 0xb1b015f0, 0xd9419b1a, 0x0bd20842,
+    0x5e14c5e5, 0x18f4059a, 0x72574dc2, 0x3ac85b1f, 0xdadc5622, 0x817448ca, 0xf394d6d7, 0xbb667775,
+    0x8a440dfc, 0x62bc76cb, 0x2b85b020, 0x889be438, 0x5e977708, 0xaca6e9b1, 0xa6f1ff8f, 0xcba8efb6,
+    0xb26c53a0, 0x115015e1, 0xf90feb1e, 0xda269776, 0x65f76d40, 0x2d6b4a71, 0xf1317ed5, 0x4b01ae0d,
+    0xabdfc69c, 0xb88b410a, 0xe9c986c7, 0xef1eb889, 0xcc516575, 0x6cf48083, 0xaf164e55, 0x42a2fa3b,
+    0x6e1548b3, 0x487543f2, 0xe75577d6, 0xfc0ed0cc, 0x7117081c, 0x14dcc73e, 0x4017fd80, 0xe46e6467,
+    0x1cbfdfa1, 0xaa1abdb8, 0xb96c086b, 0x94eb0506, 0xf4f197ff, 0xf30d019d, 0x5e2e1162, 0xecc5e0f6,
+    0x2b971c98, 0x9bad6181, 0x3b6ac5e3, 0xa9c51951, 0x063ebbb0, 0x8f632d7c, 0xefd51d35, 0xf471fb0c,
+    0x3825c506, 0x716afe91, 0x17602e17, 0x7a18c478, 0x235de1c2, 0x18129bdd, 0x6bd2369d, 0xaefa16cd,
+    0xe7b98b45, 0x55f33c49, 0x04bc59f6, 0xb8654bca, 0xdaec8226, 0x70768635, 0x1806b2ce, 0xab418749,
+    0xefdac156, 0xa880d1b4, 0xdbd831d7, 0xcec31b8f, 0xcd74cc4e, 0x2ff5511c, 0x8eac9ef6, 0x9a6c420f,
+    0xb300ffbd, 0x5f8c2496, 0xe4371ffe, 0xe33c0a5d, 0xac2e1f4f, 0x1316f2f7, 0x4823bf34, 0x75cafcd4,
+    0x77c509d0, 0x2b674b5a, 0x7fb7f426, 0x20836315, 0xb06f30ee, 0x894428d6, 0x873d836b, 0xa51ed419,
+    0x25b59821, 0xf7c7dd3e, 0x1f0144bb, 0xf7b595e9, 0x3cb397df, 0x9539ab39, 0xe3ed95f5, 0x64d06b30,
+    0x21e91499, 0x8eaa2bec, 0xd38c6d5f, 0x0f07f187, 0x4c0955e7, 0x4868d456, 0x1f9ee1e7, 0xcd9a599c,
+    0xd63233c5, 0x377a741c, 0xdb2d04cb, 0xe7b1be44, 0x621b2409, 0x29a8eb12, 0xd9cf024f, 0x8b57c838,
+    0xc58cd051, 0xa7df53cd, 0xe0fca99d, 0xee0ef61a, 0xec41adae, 0x705a5181, 0xa81c7408, 0x54773f1c,
+    0xce02d3d8, 0x7ca3431e, 0x4bd57dd0, 0x0b58a232, 0x2b9c088c, 0x1d40ffa4, 0x4e421cb6, 0x681a213b,
+    0xe7f47251, 0x7c8dd6e9, 0xd876121b, 0x5c152357, 0x7eab4683, 0x64decd13, 0x93c10141, 0x4c68cf36,
+    0x3ca4adc3, 0x16dec213, 0x8104349c, 0x275835a2, 0xc50c461f, 0x800cecb0, 0xf313785b, 0xf5c4f093,
+    0x6205a6bc, 0x1c365d65, 0x1a609d98, 0x634259a8, 0x0cb0565f, 0x2cf01fca, 0x0099d9bb, 0x5e726900,
+    0x2366b689, 0xa5d462be, 0x01698afd, 0x7630b830, 0xb2304c8f, 0x5e9cfdaa, 0xa36d52d5, 0x38c5908d,
+    0x670e3503, 0x67e238be, 0x2a67402b, 0xfaa797fe, 0x09925d6a, 0x07f22ef3, 0xe7b362c4, 0x3317e117,
+    0x2209c7b5, 0x1333c6ea, 0x1ceee401, 0x019a8278, 0x7792d079, 0x4502d6a6, 0x0626fdf2, 0x50267bb5,
+    0x388dbdfa, 0xfc9544cc, 0x882c9955, 0xab2c49d5, 0x39fec371, 0x1d3af717, 0x3e7a8953, 0x1bb590d3,
+    0x16d41fed, 0x9a389b0a, 0xad8a5d93, 0x234ed396, 0xc47d8269, 0x77d266aa, 0x95859875, 0xe549b321,
+    0x226592d2, 0x18fee147, 0xe92ff223, 0xf4e08fd9, 0x81f04e6a, 0xf5befdda, 0xbc300562, 0x6cd305bb,
+    0x11492cdf, 0xba2e73ca, 0xaee79954, 0xb6368c7f, 0x61c79098, 0x435c4ee8, 0x25bf9d6a, 0x2ffe9464,
+    0x8da2064a, 0xe8cbf83c, 0x1658a1fe, 0x289a3efc, 0xaef4ff0d, 0x97beaf94, 0x2cf36963, 0x9d5f34ec,
+    0x1fdf1c42, 0x9e0e8b74, 0x95def178, 0x6b16c8ab, 0x21cdafc4, 0xc704d1d6, 0xae055b5a, 0xd67c3c6e,
+    0x4530f9c6, 0x66022122, 0x4de4f9a3, 0x2676d0c3, 0xf1f4ea92, 0x67a918a9, 0x11774158, 0x73d69a08,
+    0xb352c3f4, 0x298efba5, 0x041952e5, 0xb679e185, 0xed571c70, 0x2cf032fb, 0x1c73ab33, 0x6a84c368,
+    0x996657b9, 0xda7422d2, 0x7af62e3b, 0xe90c2d26, 0x12b0db2d, 0x73e06344, 0x895ba318, 0xd7820097,
+    0x628bbb6c, 0xfb97ea2c, 0xf206455c, 0xf6e6fdfd, 0x61f83329, 0xb965c311, 0xbf945de4, 0x79777cf9,
+    0x1e89552a, 0xb7fb6cc7, 0x9b87ef8b, 0x1620e5e9, 0x746b7548, 0xad5fdbd9, 0x08d491fb, 0x9d5ace31,
+    0x0f2913ff, 0xb4ee87e9, 0x1c73eb0d, 0x93c796d0, 0x04aae197, 0xfe6dc187, 0xe14a0d16, 0xdc4cb61d,
+    0x614776e1, 0x00cc471c, 0x56b875a3, 0x20d65ad0, 0x999e0062, 0xa0f92fb5, 0xed713162, 0xde3dcf97,
+    0x23d5bdf1, 0x831c6a52, 0x41dfa876, 0xe3061822, 0x200ba951, 0xe8afa5a8, 0x6693a2b4, 0x081545c3,
+    0xea9b17af, 0x92e1add0, 0x0f6d0b53, 0x35827be0, 0x37078fd2, 0xcfd43f42, 0x659131b3, 0xa520a258,
+    0xd45747c4, 0x3bc5c07c, 0x589042ea, 0x8b1c1030, 0xf9c244c3, 0x2c219a65, 0xd430c35d, 0x31a93d43,
+    0x9e983c49, 0x20468b86, 0x02ccdcb9, 0xdbb4f5b6, 0x88de7896, 0xd9a99de2, 0x4e3e494c, 0xa90db6f2,
+    0xdb005cb7, 0x51431f2b, 0x6ea1f48b, 0xab1a417d, 0x3f273a43, 0x9b1d0b70, 0xa5a38666, 0x1cf6afd4,
+    0xb7924969, 0x86efec25, 0x2f384fa9, 0x676f5a1a, 0x1a86d470, 0x96a836ec, 0x39f24525, 0xffa15a66,
+    0x33b94f8d, 0xf8914a77, 0x86c660b6, 0x0ed0e7d5, 0x6acf68b9, 0x8b8fa50d, 0x5fbcfd9d, 0x3ce6f0d5,
+    0x07c9fe65, 0x0899cf4b, 0x997a1ccf, 0x665b03b9, 0x2eac4bfc, 0x9b391b33, 0x0746b6a5, 0x067d464e,
+    0xaa3f465e, 0x633da706, 0x09cb72c4, 0xaa3faa1a, 0x04428375, 0x3751e888, 0x07217355, 0x01c0644f,
+    0x1dacda4a, 0xfdd676f5, 0xa6a4c412, 0x62ecfdb4, 0xbe79fecb, 0x478b2668, 0x44c734ab, 0xe5661012,
+    0x69100eb3, 0xf59dea16, 0xf9ea4766, 0xb1781cb6, 0xc174f6fa, 0xb34aff48, 0xfa7b5dec, 0xd89c35c5,
+    0x5eee16f6, 0x7b2bbf7c, 0xcbc21379, 0x120dd373, 0x68537029, 0x0cea0dd7, 0xc3c82970, 0x7817e78c,
+    0x1138c56a, 0x7715c634, 0xc481e2b6, 0x7ce1078a, 0xd72408d1, 0xc9208979, 0xd57c8081, 0xcb278098,
+    0xf435f56f, 0x43efcdac, 0xded8ac35, 0xc04b9a2e, 0x1068183c, 0xb4a561fe, 0x4bb47537, 0x9ec69ab9,
+    0xf5ff2fbb, 0xb768e3a1, 0x69e34cac, 0x0da273e5, 0x1c9d11e5, 0x4fcaf5ae, 0xd5f59df9, 0x9c6f3d64,
+    0x9b15366e, 0x9d2c1017, 0x65af766f, 0x4afc16a9, 0xd316704d, 0xc6fcf8ef, 0x69b672ab, 0x5815bdf5,
+    0x6f3601bb, 0xc0783c1e, 0x0bdc88a7, 0xc2c02385, 0x8fa02b6f, 0xbd7d24a6, 0xb67ea854, 0xc99c8805,
+    0xac2d3638, 0x4a85f78d, 0x25d29f81, 0xa563d12d, 0xc299e510, 0x5a432464, 0x97d809e8, 0xc0621900,
+    0x986f4962, 0xb6a13551, 0x79f97466, 0x91e50f2a, 0x41b6043f, 0x87067445, 0xdb00ecd3, 0x9b39b6ee,
+    0xb0af4c4f, 0xba09e2f3, 0xaf3335a6, 0x8a72135f, 0x7b67afc2, 0x69ef3509, 0x75fa277e, 0x247f4c31,
+    0x9550b0fc, 0xf601e514, 0xaa291d38, 0xf1bf3acd, 0xe13152bc, 0x7c97e628, 0xa39a2a67, 0x2e221cf5,
+    0x579b2636, 0x9f4f44d0, 0x477f95c2, 0x4168d0b2, 0x5829448d, 0x7f0e1a73, 0xeb1ee281, 0xf08a298f,
+    0xb09b7299, 0x0de50062, 0x8116d6ae, 0x8b31e065, 0x0cf53db4, 0x9a6ff453, 0xeaf4f647, 0xf4501fee,
+    0x84d48ce9, 0x9b0f899b, 0x22b16832, 0xaf6a8409, 0x337fd91e, 0x153c2085, 0xc6359e33, 0x71db0fdb,
+    0xa14ace2a, 0xed2bfb6a, 0x149a7641, 0xf2adf410, 0x08ee5776, 0xcac0d29f, 0xa8590394, 0x56dbb452,
+    0xf0d1452a, 0x62aaf18e, 0xf596e291, 0xbb379f4c, 0xa80bccb7, 0x0af1c4f2, 0x5f057d17, 0xc3a09852,
+    0x32b29d76, 0x940edd77, 0xfdc83b13, 0xe7eb8503, 0x182906f8, 0xf9f82ec4, 0xe1bcb7f6, 0x1e354252,
+    0xdce05322, 0x83fcb61b, 0xccf053d2, 0x849d90a9, 0x467afdaf, 0xd5c86df7, 0xe9a30fb1, 0xcf63e4d1,
+    0x1b1aad9e, 0x34a6e27e, 0xd9625609, 0x73a30b17, 0x4e82b21c, 0x9a45699e, 0xda1090e0, 0xf90c894e,
+    0x304b3d24, 0xdafa6e58, 0xc8b5eb88, 0x96afeacd, 0x53cfbd90, 0x677d746a, 0xc6f6ff21, 0x9ac383a6,
+    0xdcc4a2ad, 0x8a4df9a6, 0xf9add99e, 0x86ce5d52, 0x3c1a8f97, 0xa2b881e7, 0x071ed4de, 0xce635ae5,
+    0x2ced81e6, 0xa62e8d1e, 0xc5bcc1d2, 0x57ab96a6, 0x3895a0f2, 0xd0c68dbc, 0x9e8ec269, 0xcbcc092e,
+    0xe63f7669, 0xb7cf211e, 0x9e28012d, 0x6063d9cc, 0x485c4003, 0xde94d42c, 0xeb40dbc2, 0x850333da,
+    0xe6df974c, 0x65bd20ec, 0xb38dda16, 0x2e9ab270, 0xb3649340, 0x25ff4b7a, 0xb588c6f8, 0x087e34f5,
+    0x3f6e31e3, 0x73a377fd, 0xe2cb95f7, 0x9942e271, 0x02ad4590, 0xdebbcff4, 0x46571b02, 0xf8c9b197,
+    0x468fce33, 0x4610bc55, 0xa2f11bbb, 0x15ffee2b, 0x579d5509, 0x181d9293, 0xdb68f71e, 0xa8439a61,
+    0x357252ec, 0xa1588ab0, 0x4c67277f, 0x0445a0d4, 0x77a62e9e, 0x22e23004, 0x5eff5adc, 0x9d144802,
+    0xaaeb6616, 0xa7d2a0b7, 0xd17369ce, 0xf86232b0, 0x1dd32906, 0x16023e95, 0x867418a5, 0xc83ea851,
+    0xd03db249, 0x460a68ca, 0x6bb0dace, 0x96114992, 0xcd25a585, 0xe610e632, 0x136f527b, 0x8c4d6e2a,
+    0x2b8e2b17, 0xc8006c5b, 0x92d5ecba, 0x0988cbda, 0x1bfdb3ac, 0x8c0119e3, 0x98c0d7cc, 0x0533c271,
+    0x372be78b, 0x40e68f38, 0x0f6abffe, 0x23ceaf3b, 0x1ad0d44a, 0x00f648af, 0xb4a78450, 0x25ae200a,
+    0xb6ba95c2, 0x82f7bf45, 0x1908245f, 0x489a47ab, 0xa22d4f15, 0x5b3a831c, 0xfe541ceb, 0x1906f3b3,
+    0xe32c1b3b, 0xd9509ad8, 0x643524c1, 0x071c2668, 0x45a02250, 0x9d19e561, 0x7df0154f, 0x87d94687,
+    0xfc7d4e83, 0x5e7b23a0, 0x1ef315a4, 0x5d9f7681, 0x637688ee, 0x04cb52fe, 0xcf40095d, 0x545fb9ee,
+    0xa030d911, 0x0976f704, 0x03bf7957, 0x93c43956, 0x0be0059e, 0x85708808, 0xed57a085, 0x28bf815c,
+    0x470ce72f, 0x6336dd86, 0xcf93a20f, 0x4ae7d1a6, 0x7cfc1288, 0xf6d93a63, 0x5cf5a461, 0x7938b303,
+    0x6f72a860, 0x902a3a69, 0xe64ecf88, 0xbe073322, 0x86f482d6, 0x99214d3c, 0x61fc2a07, 0xf629bd3f,
+    0x67beeb01, 0xfc1dbd9e, 0x4212a037, 0x44633b8e, 0xa1cc6ee1, 0x0cf15571, 0x82dbb8ee, 0xc52ab880,
+    0x370ad777, 0x7e027c4d, 0xb1c84023, 0x92b9a423, 0x48e074ca, 0x749ec136, 0x1599bd43, 0x9308712a,
+    0x5c3c86cb, 0x53981bb2, 0x4d10ab47, 0x528fbce0, 0x10bb4b10, 0xac9d5b51, 0xfbb9bf5e, 0x44c9722b,
+    0x725ea8a9, 0x2f5b4ab4, 0x5122b307, 0xef961b67, 0x990eb838, 0x3f0d95da, 0x9fd7780f, 0x01cc005b,
+    0x93cf0c46, 0x84ddbe8c, 0xa2392c45, 0xb63c157b, 0x235e36a5, 0xdd6e8e26, 0x7bba2528, 0xc6fff175,
+    0x7becd4b1, 0x6f0610e8, 0x714d7bbb, 0x8e1da868, 0x32b470c8, 0x2719cb2b, 0x5a54b3d7, 0x3af0b9ed,
+    0xb7041c1d, 0x39428dec, 0x01996924, 0xbe29ffcb, 0x84c35a85, 0x7d94cc04, 0x7c4b3941, 0x06b2d33c,
+    0xb64b5390, 0x303a01cd, 0xdea12022, 0xe134919e, 0x0a464d8c, 0xa230d344, 0x4bea290f, 0x0697021d,
+    0x7e3a1476, 0x84db63bf, 0x92c75b1d, 0xe469e2b3, 0x6a32c85b, 0x9ae4dcac, 0x0d5fea9d, 0xd40cc21a,
+    0xff0c11e0, 0x5a8e9ade, 0xd84fd2c0, 0xaf1b5dfa, 0xa5b5feb4, 0xaddfa81a, 0x4be1392d, 0x90c956f6,
+    0x1d2fcbd7, 0x251eea11, 0x8087facb, 0xb850326b, 0x7b9fb24d, 0xf9b7d900, 0x6a658961, 0xc7b34718,
+    0xda45c5a4, 0xcc0c09cf, 0x2e9894bb, 0x8b084c24, 0x65474caa, 0x7a47c5e3, 0x2f77e102, 0xc836488a,
+    0x46a5dd4c, 0x1edd3747, 0x5dac88a6, 0x7ebaa3dc, 0x03f2e295, 0xfe2cb0a6, 0xa37bf9d6, 0xaf1a9bc2,
+    0x6f3dcf32, 0xc65e181b, 0x754cc1bd, 0xbc43f307, 0x3edc80e1, 0x6ccd9a5f, 0xc3c462cc, 0x85971d70,
+    0xd18982b5, 0x1cdca315, 0xdbdf342c, 0x00209456, 0xa0a76bb2, 0xffbdc39c, 0x45411cae, 0xb3224f82,
+    0x2e1de6ee, 0xc636c8ab, 0x4ac87f79, 0x6a1f2db1, 0xd2467665, 0xe8578ca2, 0xa78c9024, 0x6f055baf,
+    0x7cd6049c, 0x59e3b890, 0x89f205bd, 0x7f48d7a9, 0x485c1536, 0x15b36a28, 0xeab5dcb1, 0x28fdb2df,
+    0x3c88394c, 0x7e2c3a03, 0x13b1198d, 0xb9304e99, 0xbadb9b22, 0xd489f8a0, 0x2c9c0e1a, 0xce3a12d8,
+    0x92b2f24e, 0x232caf63, 0x071fc91d, 0xd957c1e6, 0x70783236, 0x604dfb24, 0xf7daac75, 0xc7706800,
+    0x0d151b07, 0xf427b334, 0x4deb2969, 0x489f3f46, 0xfadb27f4, 0xfe0a16ab, 0xe9ae332f, 0x2deb19dd,
+    0xa525c40c, 0x22b08422, 0x02e00fbf, 0xd9b54156, 0xc0bae285, 0x7989a356, 0xb6d02e7f, 0xf9f0f5f8,
+    0x73281945, 0x3c774815, 0x939289fa, 0x49041219, 0x111ccf49, 0x380a58bb, 0xe718596d, 0xb61693d1,
+    0x5bdc3f16, 0x4764e65d, 0x1b53995d, 0xb31108a5, 0x5ac20563, 0x0c67ea9f, 0x62b9108a, 0xbec08bc1,
+    0xedc9d4b0, 0x58fa86ed, 0x0a159b86, 0x67cb18d8, 0x3265118c, 0xa50583ed, 0x903d0f6e, 0x32a1e2ab,
+    0xf5e7e63f, 0x250b83ab, 0x5fbe41ec, 0xe46a2c61, 0x7e4ad7e0, 0x23f9f08f, 0x9bdb4530, 0x9169359f,
+    0x4030e21a, 0x3c1e26ce, 0xdcc3d214, 0xc1552026, 0xb8cbcb89, 0x1956a745, 0x41db9526, 0x7edfcedc,
+    0xbe281be2, 0x9815843b, 0x63873912, 0x8b8820a3, 0xfabb976d, 0x25a033fc, 0xdde100f9, 0x6d0efc55,
+    0x8e821997, 0x8b424e7f, 0xd16fba0f, 0xb1d3ed33, 0x9724f9ac, 0x50f98ab4, 0x7153cf78, 0x1cb62d55,
+    0x53ac7e94, 0xeec8ad0a, 0x70fde41d, 0x2f3f8203, 0xe47b12fc, 0x5f0b8f39, 0xca81af42, 0xe7024b8f,
+    0x9f6a74bb, 0xa8e44937, 0xae58f5b6, 0x086cf1f3, 0xc936588a, 0xb0e15ebb, 0x23445b19, 0x3091a692,
+    0x35ba15fb, 0x9ba81ecb, 0xa9a35f5b, 0x59e51e29, 0xd01190bc, 0xabcc25c5, 0x80aac2d1, 0x46bcd9ba,
+    0xfe003aec, 0x59f6d0f8, 0x609353f9, 0x13a90929, 0x9c28116e, 0x1290b6b6, 0x7ebac343, 0xe9e96cf3,
+    0x9a81e8d0, 0x411f13e3, 0xc2867492, 0x2b07e144, 0x1ec87221, 0xe2449c15, 0x6ff65cbd, 0xda20d45f,
+    0x51389809, 0xedf0e8f4, 0x6a9f7cc5, 0xcb336ac1, 0x02278fdd, 0x7b8abcd9, 0x088b766a, 0xd674409b,
+    0x00000000 }, /* 10**-00000000000000000000000000000105768955006439775832306449285243366372544749274\
+                          28499508554380724390492659780981533203027367035444557561459392400373732868096 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540,
+    0x39098a56, 0x2dc92a6f, 0xefa30f4c, 0x5f335e04, 0x2c455c18, 0xb83b682a, 0x938a5e85, 0x3d794235,
+    0x00000000,
+    0xff8862e3, 0x2c76a81f, 0x90b74a06, 0x65951594, 0xc9f6819c, 0xc5aa7536, 0xbce3934d, 0x2398fa8e,
+    0x3252497c, 0x93da9123, 0x7ad470b7, 0xcb8d0c44, 0x179d1309, 0xc929e7b4, 0x055e586c, 0x4252cf08,
+    0x820ac99f, 0x6a9d75e4, 0x642cc8dd, 0x408d9e95, 0x3ac5c0fb, 0xe94d0fe7, 0xfd977ed2, 0x97b72a0d,
+    0x19a405ec, 0xa58a9776, 0x2bece640, 0x21974fda, 0xfc78cef9, 0x2a208797, 0xaf165801, 0x154d3ad6,
+    0x4183d341, 0x7d11bf22, 0x5ab31e36, 0x7a765a5c, 0x47d44100, 0x17bf29cf, 0xb6df03e5, 0x8fad4040,
+    0x602d92a4, 0xfe175e3b, 0xe3a9ac9e, 0xa65b2f85, 0xa9f86e98, 0x9bc44c79, 0xaa1182e7, 0xcf87d2a5,
+    0x3cf153ac, 0x3f26e229, 0xb271d450, 0x60fdc7e9, 0x7e317bb0, 0xa53fa735, 0x259a0539, 0x722c57df,
+    0x7369a84d, 0x72efc976, 0x4c379552, 0x670076c4, 0x4029aefd, 0xd68ced78, 0x0ade4015, 0x5046ae07,
+    0xb10451d0, 0xcc1930a6, 0x402fa956, 0xee506ff8, 0xaac93ae2, 0x50ed196a, 0x7b2d3df8, 0x59e01dbe,
+    0xfb455104, 0x55829dcb, 0xf5eecfd4, 0xab56a0ca, 0x894e63d1, 0x4ceb958a, 0x7ca77209, 0xf7335d5b,
+    0x1a60bbca, 0x3c69f39f, 0x83f79acf, 0xff8a5660, 0x0a50abf0, 0xe75de10a, 0x2f1afa80, 0x65bc5c36,
+    0x16e3a2ff, 0xd9101d6d, 0xd2a19214, 0x188aefe2, 0xfae9612e, 0xf21a6300, 0x2310c801, 0xb2dcdce5,
+    0x624050c9, 0xf92f1d7c, 0xd1025288, 0x8d96be4e, 0x07aa8083, 0x8ff4983e, 0x0aee5f09, 0x05e78597,
+    0x00678bfb, 0x36256278, 0x8109d8f2, 0x4ad2cb67, 0xe741ff52, 0xee6a3e15, 0x761115a9, 0x8436691d,
+    0xd63e4b4d, 0xc8761683, 0x5c278e9a, 0xaf88c273, 0x6c9a3aa6, 0xc6da4bff, 0x1ab3f59e, 0xe0bf6956,
+    0xda0fef9b, 0xd0a769d6, 0xc7863e57, 0x7a2f4dcc, 0x8eb49a3d, 0x2760a799, 0xfd7ad35d, 0x815ac1f9,
+    0x3e170a4e, 0x2ea881db, 0x939df7be, 0x0ed0d00a, 0xc6aae7a0, 0xd5ef0f71, 0x7d5635d5, 0x1ef2d6b6,
+    0xf74a4201, 0x95321092, 0x904600bb, 0xb14f0bc9, 0x2bc1907f, 0xecd99118, 0x975f24bd, 0x30723fd0,
+    0xc3b1b2b7, 0x23788dc7, 0x0650631c, 0x7ef0600b, 0x67459cac, 0x4a3525fd, 0xe585843f, 0xf95c7b75,
+    0xe0ebf183, 0x040b9871, 0xaa14f79e, 0x3e2259e2, 0x6ef757c3, 0x22a93758, 0xbfc5c532, 0x56fa81fb,
+    0xdc37f7d8, 0x421cd364, 0x82502acc, 0x27eb9587, 0x16293a93, 0xe1983ca6, 0x96c5d77f, 0x2c3ec4d6,
+    0x138911e6, 0x070ee139, 0x360c95fe, 0xa97e090a, 0x1fd831d3, 0x01a745df, 0x9508aadc, 0xdc619074,
+    0xf3b9343d, 0x145d5f85, 0xbac98725, 0x18c96653, 0xfe0de5ff, 0xa9aa5b98, 0xf949ac91, 0x2dee4a51,
+    0x9a3c5a2b, 0xb083c64e, 0x5287d39c, 0xabedc721, 0x36f057a9, 0x227af562, 0x7c9b0ff5, 0xa969585d,
+    0x93e35d68, 0xa6b38037, 0xce7c5f9a, 0xf34ead06, 0x37eb3b10, 0x33127318, 0xf3dc84cc, 0xdc5c4a7f,
+    0xfebd7516, 0xdd9add3b, 0x6c671ac1, 0x1fd07d07, 0x50d8e71b, 0xafb7a6b8, 0xb2f33f95, 0x314db9e9,
+    0x70f2f989, 0xa19bbbb8, 0x610cf1cb, 0xd50448b6, 0xe1c6a737, 0x336b351f, 0xe25f8026, 0x03afb744,
+    0xffe430f9, 0xe1a7c0e9, 0x2a87e5ec, 0x03780308, 0x69f3fd31, 0x51e19046, 0xb2948e40, 0x3e39574b,
+    0xc0260df5, 0x4d1828d0, 0x581f2ef5, 0xc9a8680a, 0x198a1b95, 0x5376f9a9, 0xe2a3db18, 0xfe97ae22,
+    0x546f67c6, 0x0f900309, 0x39d13f38, 0xb5dae2c1, 0xf6ff2862, 0xf48de5be, 0x1e57a855, 0x4054b23e,
+    0x38990832, 0x53feacb0, 0x11040f0d, 0x054d8642, 0x32f08a9d, 0xa2a50d4c, 0x9ed570bb, 0xaa1712aa,
+    0x780d67bb, 0xfd06fbe3, 0xd870caa7, 0x48ac7080, 0xf43a0460, 0xc6fdeb5d, 0xf089b2d3, 0xa526581a,
+    0x33c8f51a, 0xe51a2dd2, 0x4b86a317, 0x988ee663, 0x159fd05f, 0x67757050, 0x15873719, 0xec77df73,
+    0x2fd1e24f, 0xbe7845d6, 0x82e9d257, 0x595ac710, 0x62499eca, 0x1cab4d2c, 0x38a449f7, 0xc6016cc6,
+    0x0bdb8c05, 0x581a796a, 0xb55ac7c3, 0x24bdc81c, 0x29466016, 0xb7385dd7, 0xa2342ce5, 0xd6fef331,
+    0xee6b55d8, 0x344df391, 0x5d964fcc, 0xff2a8ad9, 0x712bbc86, 0x4bcf26d0, 0x8215d119, 0xd9426c49,
+    0x71fb8c97, 0xadd94592, 0xac28f7f4, 0xbddfbad8, 0x602673e0, 0xc4e04fc1, 0xa67bc81b, 0x4190a60c,
+    0xcc1a1819, 0xa916e650, 0x4e369b5e, 0xa9ecaabf, 0xdc7800bb, 0xe46f3616, 0x72e3b4e6, 0xc5dfab6f,
+    0xccd8ae32, 0x370aed4c, 0x20f1835f, 0x50c63c89, 0x696518d7, 0xef4cdcc5, 0x1d7b37fa, 0x8b6d89b1,
+    0x2e2d2cb5, 0x027fb359, 0x73cfb109, 0x8a764b98, 0x0c79af33, 0xe29775ab, 0xaacbbabc, 0xa3bd1fef,
+    0xc691a735, 0xe2b0cfba, 0x64ee44f2, 0x34b8a4a5, 0xd62f7459, 0xd217c63f, 0x7c870421, 0x0ef46eb4,
+    0xd1940796, 0xace2d1da, 0x911269d7, 0x017f185c, 0x525509dd, 0x05409561, 0x40c03da6, 0xe8b3b026,
+    0x870cb981, 0x5000521d, 0x0cb5c8b8, 0xc1233f07, 0x25271f81, 0xa24d6c94, 0xe6dc4e8d, 0x8a79fccf,
+    0x2f60b988, 0xb68b65e5, 0xd5e3b3cf, 0x63dae95d, 0x91475c7a, 0xbfa838d1, 0x0c491185, 0xbe795bd9,
+    0x78356403, 0xb053740e, 0x4369c4b7, 0x9675a6bd, 0xd771d0f3, 0x72d5f127, 0x61292a71, 0x9cfc7515,
+    0xd73f19d9, 0xfa4b15e9, 0x766421d0, 0xfe6ca991, 0xee537bbd, 0x766a272a, 0x0725af4a, 0x8aeb3b9f,
+    0x018a365d, 0xd8ddddc3, 0x242eaf82, 0x0f6f6fd3, 0x30d85129, 0x6406ff2b, 0xe047d9a2, 0x9ccaa4cd,
+    0x657e4f38, 0xa5949f8a, 0x4d3997fe, 0xd1abf470, 0x59a16d0b, 0x8558186a, 0x49f7d7b9, 0x1f1a40cf,
+    0xc2bc644c, 0xba59aade, 0xea77e4ff, 0x927028b6, 0xc0ca3a8f, 0x65d5ab05, 0x7fc85439, 0xe6f00370,
+    0x7ddd0016, 0x9244f3a2, 0x512ac530, 0x91380780, 0x69b9c89f, 0x74596711, 0x2206b98b, 0x947b484a,
+    0xf0374277, 0x48c4147a, 0xa0d9d4b4, 0x5ba5a943, 0xfe258ef4, 0xf6dd3c5d, 0x7eb4321c, 0x030788d4,
+    0x6397f04d, 0xdb8ee6b3, 0x2ae5b687, 0x104e88eb, 0xe403a624, 0xc1e39078, 0xe8afd28b, 0x6efd9f5b,
+    0x21aa60fd, 0xe90aac0a, 0x0aeeb229, 0x1204aa0d, 0x356591c5, 0x2fa511ef, 0x60f2d484, 0x0a890d63,
+    0x466d2c89, 0x9d5c169b, 0x52d22d58, 0xe3bb7db5, 0x8d6883c8, 0x499fcbfb, 0x9894a2cb, 0xba464c3e,
+    0x45109d87, 0x459af73a, 0x1ac87fd8, 0xf0abd453, 0x3309d382, 0x0d15b26a, 0xa4d5be71, 0xbbdfb172,
+    0x67fccc83, 0x4c9150d2, 0x5bb77fc2, 0xb099aa2e, 0x62a5ea91, 0x6bfe230e, 0x18eeab5c, 0x40aa179f,
+    0x037f6056, 0xe009c9c3, 0xd7af3a3e, 0x70391923, 0xc6677f0c, 0x16ae5056, 0x694706f9, 0x4b79c56f,
+    0x9334dcd5, 0xb7cf2030, 0xbdbccb57, 0x4c827c9f, 0x02521017, 0xe7f2d119, 0xef046712, 0x56977092,
+    0x14a37625, 0xe4f6b05a, 0x5cbd0252, 0x95620eb6, 0x97639e59, 0xdff183f4, 0xe7d09752, 0xdf6c3a03,
+    0x3d9580c9, 0x800bd9d8, 0xcd2b92e6, 0x9b757ad7, 0x9c4bf6f6, 0xb6ebcbca, 0xfd56b7c4, 0x5bd93b81,
+    0x4a97f43b, 0xe36485ea, 0x5369b60c, 0xc891ff7e, 0x8c004a8d, 0xde2b0d35, 0x2b1d6ad3, 0x180d1c60,
+    0x698505af, 0xafeb30e0, 0x5980df28, 0x72f23d19, 0xebb8c79c, 0x2d5a65c1, 0xbeddc9d3, 0xc48a8693,
+    0xe700c122, 0xea41712a, 0x99df4817, 0x5d7975c9, 0x5335278f, 0x0cad8a38, 0x32dafe4b, 0xb22682b6,
+    0xf5ec711e, 0x434e5a08, 0xfdefc2bd, 0x35c6236b, 0x3e939a61, 0x2b9dbf3a, 0x289b6c60, 0x78eccb87,
+    0x58618336, 0xf5f8cbb7, 0x02bb33d5, 0x33b11201, 0x38cb9ea9, 0x27371916, 0x2ef03d0a, 0x7a75db7e,
+    0xdd18ff1b, 0x874a9452, 0x9708e1b0, 0x704ae3b7, 0xc369048a, 0x74c4bb6c, 0x40d66185, 0xb45a4527,
+    0xbe9aa4c6, 0x403dd1e8, 0x3e6be4ff, 0x7b171704, 0x1737bc47, 0x4cfa9b33, 0x449e4971, 0x9748cc69,
+    0xd9758faa, 0xeb9a1096, 0xeb47168e, 0x03de89e2, 0xe1bd0f9d, 0xa37b373f, 0x6e146213, 0x63f8c9c2,
+    0xf694016d, 0x4dd41e65, 0xcec40e95, 0xca3c686a, 0x90a676c9, 0x2f2e0ee0, 0x0dfa62f0, 0x06947261,
+    0xe69f820b, 0xc3e3d8e7, 0x287b4a0e, 0xf11f2298, 0x290a4de8, 0x8a8e832c, 0x0eb44190, 0x0a16be54,
+    0x9dcc82af, 0xcf7d48df, 0x5037cb29, 0x47dc5aaf, 0x19ababe8, 0x47269988, 0x344f6f18, 0x5dc30f3d,
+    0x74dd6f07, 0x43ec6e13, 0xc2d7781d, 0x59a0f03a, 0x9dcd27d6, 0x61525401, 0x24599740, 0x4cb6b040,
+    0xc41376ea, 0x6f6f84be, 0x89c57e0d, 0x81658798, 0x9125fb39, 0x275d519d, 0x0baef8e6, 0x759943a1,
+    0x92fea194, 0x8f3390c1, 0xc485171c, 0xef6f004a, 0xef05028f, 0x7890c676, 0xd1f4df68, 0xfd804625,
+    0x14a0cc70, 0x0ae8fd1d, 0xf3237177, 0x0cc59cf2, 0x00d10e32, 0x2288beb3, 0xfd2b1a78, 0x4b8be782,
+    0x9055067e, 0x392ff286, 0x9261ef50, 0xca275ac9, 0xd7b157b8, 0x19651770, 0xced8d984, 0x51c50ea2,
+    0xdd6144b3, 0xeeccec03, 0x0ba8751d, 0x9393e7ca, 0x4f8166d7, 0xe4eb77cd, 0xba9f8e2d, 0xac7565ee,
+    0x759922cd, 0x8d96c4bc, 0xbd8d07bc, 0x9a087dc6, 0xd85bbacc, 0xc3cb5f22, 0x40bdfc6a, 0xa236ea79,
+    0x564ccc8f, 0xbbee4c5e, 0x21d72c3e, 0x919d6071, 0x1e8bd363, 0xbc5d60b0, 0xa969e499, 0xc8fda478,
+    0x03ead55d, 0xd342e971, 0xcc8b2ba2, 0xbfedbf45, 0x81090eb2, 0xb74ae771, 0x2fce46f2, 0x44b2f6e1,
+    0xb38f9e9b, 0x62bfdba2, 0x82482ed8, 0xfa01fe49, 0x1b2dede8, 0x65396525, 0x4fe31798, 0xeaeb5dba,
+    0x3bb901c9, 0xaca59e6a, 0xd8e9fb07, 0x2dd8d379, 0xf022c354, 0x11b30b2c, 0x6d279193, 0xd7abae56,
+    0x8731ad5e, 0xa3a99f90, 0x5ee802bb, 0x9c32f395, 0x15184e7a, 0x810fc0fa, 0x8f3e60d2, 0x600be840,
+    0x7b4c2d6a, 0xc7216748, 0x7f77a311, 0x153ceacf, 0xe4434e24, 0xd240e5ee, 0x76016b1f, 0x0e0a74ca,
+    0x0e900949, 0xe789d685, 0x8e900f3c, 0xa8a34709, 0xdecd9942, 0x59b0607b, 0x1dc9034c, 0x6eb801f8,
+    0x956e3677, 0x09c774c2, 0x7dd1d712, 0x3b73f070, 0x6cd79c8a, 0xc8703ec8, 0x5db2da50, 0x1c68aed2,
+    0x328afe73, 0x7a0933ac, 0x1b37fc68, 0x0a14624a, 0x9f952ceb, 0x786c1b4d, 0x7d9bd99d, 0xe4833e10,
+    0x42e75f02, 0x04742e73, 0xdf8594ea, 0xc7d2cb62, 0x66d29b11, 0x16c005bb, 0xb1d79c21, 0xe124b9aa,
+    0xf299931b, 0x59f3ec94, 0x52fb1149, 0x9c1a94e3, 0x6a270316, 0x4d56a3a9, 0x90b29169, 0xbd8803b5,
+    0x71b6b588, 0xfba65908, 0x6669ee49, 0xd9767c96, 0x1c86c04a, 0xacdbb01d, 0x222faeb4, 0xc4ea02be,
+    0x597b75e2, 0xa7936de1, 0x879eff7b, 0xfe886c37, 0x3b817e51, 0xfb760360, 0x58b7062f, 0x8c4c41e4,
+    0x302f4e7f, 0x5bf4aa0e, 0x24942ec3, 0x4fec8f40, 0x7ae6c28b, 0x780735c7, 0x018db3e9, 0x9740dab7,
+    0xebfdf05e, 0x5236511b, 0xa415e506, 0x5b7fe64e, 0x8679ee0a, 0xac5cc3c2, 0x833a554f, 0x2c5b7995,
+    0x94cb90d1, 0x39e23ec7, 0xb03f7bbf, 0x08b5bbf9, 0x18d76564, 0xac4a9a86, 0x6b3f4023, 0x7c445c1d,
+    0xd211c013, 0x3dfac01e, 0xa4aba615, 0x1104ee4a, 0x2bf49ef4, 0x979468d8, 0xf56d059b, 0xdb2c5673,
+    0xf9d6b1b3, 0x106735dd, 0x142a38c5, 0x03f86ca7, 0xc6ad1252, 0x768a46be, 0xc815e8f2, 0x1f2a838a,
+    0x420cc007, 0xc8e00a1c, 0x08066cc5, 0x1ec824ce, 0xb8c589fb, 0x2dceffc5, 0x470c390f, 0xc28b2a4b,
+    0xda446bf8, 0x15b5f713, 0x4791ddba, 0x34c4946c, 0x09ed8f5b, 0xc1894d8b, 0x136428d1, 0x887042d1,
+    0x1c7388ef, 0xbf01ab7b, 0xb5123274, 0x77a13a2c, 0xa0be8fa9, 0x97c5efe4, 0xe88fd2f6, 0x9a008b58,
+    0xef0edee2, 0x3eeccd05, 0x08ab2cd1, 0x52a962e4, 0x332fd710, 0xad2e08f5, 0xe95816cb, 0x861acd3b,
+    0x95574609, 0x67a2973c, 0x380b1c66, 0x6351bbb2, 0x7fae44cc, 0x63b32505, 0xdd50e8ab, 0xd7cdde29,
+    0x35b76fd1, 0x773153bf, 0xac553fc5, 0x931545ff, 0xa6965b19, 0xbb4a39e0, 0xfdcb72ec, 0xdc8b2932,
+    0x8af3844c, 0x6a23f111, 0xcac007a4, 0xf5b73b3b, 0xeefa8c97, 0x3f30fb5f, 0x60737ed8, 0x9b5422a6,
+    0x022d1d59, 0xe1975ef4, 0xc4ae1408, 0xfd0f21b9, 0xd8c42221, 0xe9989c6f, 0x71d4dbc5, 0x5c8e2d8b,
+    0x21c37230, 0xd7e8de53, 0xe5aa7296, 0x186cd82f, 0x44e3e62d, 0x14494017, 0xf083a3ef, 0x9a2f6dfc,
+    0x4bde52e6, 0xd9a9479e, 0x208311d8, 0xf1a7a31e, 0x829bfa86, 0x34a506ea, 0xfb354bca, 0x48e3a50b,
+    0xf28b70a3, 0x145a5944, 0xdc30b188, 0x4ee9365a, 0x7d232e17, 0x6957396d, 0x7194098e, 0x61b30e45,
+    0x4f98139a, 0xabb601b5, 0xf56b7242, 0x94f93649, 0x6481ed6c, 0x8320e35a, 0x4d5f470a, 0x72bbfce5,
+    0xd0a492bc, 0x843ca0d4, 0xc1cb326a, 0x472260d6, 0xd17ef05e, 0xf9482d3b, 0x6d21d558, 0x92451077,
+    0x6b2c2efb, 0x53513d28, 0x1f738809, 0xa85e5007, 0x932a7bb8, 0x2956c09c, 0xcdb44635, 0xdc67a22b,
+    0xc0959b9f, 0x8987b427, 0x324ba43e, 0xba05972b, 0xe32b2b61, 0x5c159234, 0x0bf59616, 0x18235c26,
+    0x8ce6845a, 0x92432f4a, 0xe206ea88, 0xc6b720f0, 0x59633521, 0xd91fc42e, 0x60702e8c, 0x2f4a0ddb,
+    0xf5d2cd6e, 0x99d47de2, 0xc71a8886, 0x213b965c, 0x4d0e52e5, 0xf0a164a5, 0x00c07623, 0x9b8f1fda,
+    0x69630238, 0x598e4e48, 0x481ef4f4, 0x815ec0b2, 0xae697f8a, 0xb861cbce, 0xeefa9329, 0x1cacc46e,
+    0x9cb0b941, 0x12a4ef78, 0xacc4f20f, 0xcc45f838, 0x32ed546a, 0xa950df0c, 0xf35ca4d8, 0x88c71020,
+    0x5f7334d0, 0x3a7ef2ae, 0xdbab1145, 0x489be245, 0x1f1d5163, 0xf5ac8b2a, 0xfbf24c55, 0x9649d2a7,
+    0x85d4acd1, 0x4fd1c278, 0x757970a6, 0x42a43c78, 0x9e3270e6, 0x5e6889c1, 0xb1228639, 0x80416c83,
+    0x98855a35, 0xb69456ca, 0xd7c702e3, 0x8fb335ec, 0xbda5fcda, 0x85da0263, 0x947a4221, 0xa9d738ae,
+    0x6a2439d8, 0xf1f2ab9f, 0x4f7ccfc5, 0x2534fbcd, 0x74f928ab, 0x98f6d9ae, 0x1bed9a35, 0x5248906c,
+    0x7b594ef8, 0x0bdb2f7b, 0xaa677766, 0x897cf030, 0xd563e191, 0x440631c5, 0xcf64f7c9, 0x82f4b988,
+    0x85eab381, 0xedfd343a, 0x65bc5cd4, 0xc83b9140, 0x4c6e80e9, 0x810d9c21, 0xefd3aa56, 0x2b9dfe6c,
+    0xfab812b9, 0xa0ae3ff5, 0xa2a3cb6f, 0xef51a3a1, 0xb71c4506, 0x9709c4a8, 0x1593212c, 0x86784a6c,
+    0x2becfb70, 0xceba0ec9, 0xac1c2820, 0x9d835d9d, 0x5dbfc104, 0x05a47b0c, 0xb97693dc, 0xe7f0a726,
+    0x4105d890, 0x7f80ec21, 0x0a7942ad, 0x62f60ab4, 0xe500ad8b, 0x05b1eefe, 0x02fa846e, 0xd30ff1fb,
+    0xc624e8ef, 0x802b0076, 0x13b7b6ea, 0xfa188742, 0x5a7810d6, 0xc0233cda, 0xb6a1e103, 0x48b5072c,
+    0xd2ed3061, 0x19b55d07, 0x1a5d082f, 0xe6e16277, 0x0658f32a, 0x39e556fc, 0x3a9a3aac, 0xc4c2f4a1,
+    0x00000000 }, /* 10**-00000000000000000000000000000052884477503219887916153224642621683186272374637\
+                          14249754277190362195246329890490766601513683517722278780729696200186866434048 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0,
+    0x1c84c52b, 0x16e49537, 0xf7d187a6, 0x2f99af02, 0x1622ae0c, 0x5c1db415, 0x49c52f42, 0x9ebca11a,
+    0x00000000,
+    0xb4daa40f, 0x7969c108, 0x95a4fdf1, 0x972a0b48, 0xd6996c02, 0xf8b44eaf, 0x7315d1e5, 0xb9beb612,
+    0xa257b0c1, 0x854910ab, 0x9d177593, 0xa1b060f2, 0x1a15befe, 0xc677018c, 0xecbda429, 0x4e97dca2,
+    0x752ade30, 0xa1cb8eb3, 0x13aa4b9c, 0x1855bf2d, 0x798a0b55, 0x5fd33667, 0x6ce1db7a, 0xcd39cd67,
+    0xee41db3b, 0xa69a0da6, 0x9e58e623, 0x455108f3, 0x0005ec2e, 0x0683aefc, 0x7fa1ae15, 0x5d9af368,
+    0xab0da74f, 0x10054bfb, 0x1ad203cf, 0x700846d0, 0x03d1677d, 0x3760d4ad, 0x1e747d7e, 0x48d400f9,
+    0x48f2278f, 0x0b6d6559, 0x553b258a, 0x8985df8d, 0x8a4b8b23, 0x39e9cfc9, 0xc5b1c8cb, 0x9a982ff9,
+    0xf4a5dcf2, 0x442b0d12, 0x251550aa, 0x05882c9d, 0xdf334ae7, 0x13a48754, 0x0ef349dd, 0x146585fa,
+    0xabf387a2, 0xf4bf2533, 0x858e6110, 0x54cb322b, 0x05d9c780, 0x8fd9777e, 0x88e792b9, 0x6087317f,
+    0xdd29bb1f, 0xf7bd4e23, 0xb1863686, 0xc5f86f8e, 0x473737e1, 0x7fe695ea, 0x768548c6, 0x2f7f3e01,
+    0xd2602ff3, 0xa6291371, 0x91e1d005, 0xc9da8cd6, 0xe6327a4e, 0x90542296, 0x2184957f, 0x1a7169f1,
+    0x6f079f25, 0xb6195665, 0xb1d214b8, 0x8ec66229, 0xdb76a2b8, 0xd9b43cb0, 0xd274dd60, 0x78aa8700,
+    0x83ac5254, 0x37e92bca, 0xd2a1de76, 0xb2e197b4, 0x3225653b, 0x575ae55d, 0x24eec780, 0x8bd054be,
+    0xc5af64eb, 0x45dbdd7f, 0x54855aeb, 0xeaf4233a, 0x932fae81, 0x1b8c53e4, 0x0b77401c, 0xf7547eb7,
+    0xe164c920, 0xff5295ec, 0x9c26683b, 0xd108414c, 0x7b815b34, 0x3d760607, 0x10840c7f, 0x7b98c458,
+    0x523d7ad1, 0x04c40429, 0xe071ee2d, 0x08c31b12, 0x719ae476, 0x502f4680, 0x91c9b864, 0xa722ead7,
+    0xbaf713f1, 0xca3f791d, 0xe9b298cb, 0x106773bd, 0x185ef6a0, 0x467aab47, 0x00040789, 0x3a6303db,
+    0x1ffbd589, 0x4e4e6e46, 0x7da54304, 0xb25a455a, 0xb1983531, 0x4522480f, 0xb25decec, 0x02a1a54d,
+    0x6a267524, 0x1f245d15, 0x2b9349d7, 0xac2db6d3, 0x1f57fca1, 0x241f6940, 0xfd73ca42, 0xfc70e53f,
+    0xa76c5a6d, 0x0862f888, 0xe73b7f46, 0xfdf63e32, 0xea10766a, 0x511fcbfe, 0xd71cd0ed, 0x762d8e2b,
+    0xf7feb8d6, 0xcf4a1db4, 0x8d8edd08, 0x0c160d42, 0x092d82e0, 0xe56a5c1a, 0x8b85393a, 0x4087ffe2,
+    0x1215ed2b, 0x01dda2fa, 0xf5f904a0, 0x2a39ec42, 0x50de6b18, 0x802a33b5, 0x26449d4d, 0x60606867,
+    0xfc8a3f8e, 0xd96f9b3c, 0xed96beb6, 0x15730e35, 0x4b0857ca, 0xc8c18d2a, 0xe1fdee55, 0x526d570e,
+    0xaf487417, 0xad76b4a0, 0x0d6ccc3f, 0x368af905, 0x849cec38, 0xc6836b57, 0xa348c77e, 0x9cd45472,
+    0xa1042713, 0xe3c245db, 0xcbdf1b0c, 0xdb619163, 0x85a1c09c, 0x50c4c61f, 0xf1044ff9, 0x6fc43d72,
+    0x9498eb14, 0x877e1ab7, 0x6b21c8bf, 0x064b963e, 0x476d431a, 0xf8f51be3, 0xe7ed8cfe, 0x6cb24a2f,
+    0x7e260e91, 0xc968328b, 0xb857bfe2, 0x1fb6a033, 0xa6466a4e, 0x5bbfba3b, 0x20d13539, 0x8077f3c5,
+    0xfdf07ed0, 0xa594918c, 0xf152dd6a, 0x1e2508ad, 0x757e9a9a, 0x68c0985b, 0x4bc18177, 0x305c52d7,
+    0xcfd92bb1, 0xd6a176f1, 0x9f06b9fe, 0xebee6529, 0x3add431d, 0x293eab6f, 0x01311b1e, 0x8d1b0f13,
+    0x438ab489, 0x2c405fa4, 0x152a873e, 0xf2e20095, 0x522df663, 0xc1a5539c, 0xc7d8116a, 0xf954c3dd,
+    0x4b020ce4, 0x68795f73, 0xb7b461d5, 0xa53f3172, 0xc072a7b8, 0xec119930, 0x1e86d312, 0x795a1082,
+    0x7eff221b, 0xdf4a9436, 0x77715d09, 0xbc98a3d0, 0xd14b5bce, 0x2e504956, 0xeb221499, 0x704a47b9,
+    0x48e4bc9a, 0x2cd68b97, 0x9ce9a8a0, 0x3e5f3eaf, 0xd7c29393, 0xa7705ffa, 0xc5631e60, 0x3d8edec3,
+    0x51744cb4, 0x2f8b89eb, 0x4740f145, 0x9356a7a5, 0x82d00361, 0xe8b4ac6a, 0x23cc220c, 0x8e561d18,
+    0x582725a4, 0x757d4e75, 0x49d3a4f8, 0x696c810b, 0x769fda6a, 0x3b73c540, 0x6dbd86d3, 0x84c4e663,
+    0x9cbb4fd6, 0xff4ec057, 0x98626b5b, 0x04b4530b, 0x358d8494, 0xd7c30c7e, 0x66cb65df, 0xc7911172,
+    0xc04b6788, 0x987fd9fe, 0x35dc967b, 0x9e51202c, 0x0276a82a, 0xcf8c085f, 0x488d1910, 0x455bdc2c,
+    0x203b0af1, 0x9e9c49cc, 0x1099ecad, 0x8fbeb633, 0xdd215d68, 0x49aeb763, 0x4d15fdbb, 0x1cd36bb2,
+    0x9407ca08, 0xff485da7, 0x605d7921, 0x714c5b84, 0x1ba6bb48, 0xe189deaf, 0xaa9bf715, 0x362569bc,
+    0x5662eacb, 0xcd5b7514, 0xf3bcf6ec, 0x0cf746bc, 0x637c7923, 0x5da0ac3a, 0xa80dbb5e, 0xde91f201,
+    0x72896732, 0xe8fded18, 0x2e573318, 0xde679166, 0x182ec57e, 0xaebc3ee4, 0x72f57195, 0x828c41b7,
+    0x2828ba06, 0x767c66fc, 0xdf37f219, 0x237e94db, 0x589ed1db, 0xb4ce08bb, 0x1dbd0064, 0xd897c369,
+    0xca1c1716, 0x1acf18ba, 0x9dbc07ac, 0x8ca8388d, 0x020bb1a5, 0xe86ac927, 0x9c2e770a, 0xe2a1760e,
+    0xde3ca3ae, 0x9bc41c3a, 0xe7cb8a52, 0x9ceb52b7, 0x6ca75cac, 0xc98eb1e6, 0x9c35debb, 0xc446cbe8,
+    0xcd76d2ea, 0xa832fd52, 0x853cc7f5, 0xa9df3001, 0x03f16f1f, 0xc8503851, 0x16c6de32, 0x3720644a,
+    0x2a8b1aec, 0xe1a8286f, 0xfa3cccf2, 0x70a88112, 0x44a5cd44, 0x1b7df3a3, 0x6bb15dc8, 0x0c5e95d8,
+    0x1ee31871, 0x94844d85, 0x5a17aa14, 0x775a8a75, 0x34c09a23, 0x532cfd1d, 0x62bd4056, 0x0bd40d9d,
+    0xbdd73a34, 0x31a975f8, 0x23491c41, 0x3bbd78c2, 0x5e5939bf, 0x583fea88, 0x2b839707, 0x97c10945,
+    0x6b7b1c9b, 0x2db2acb2, 0x692394aa, 0x5e833d27, 0x30b65234, 0x910ae1ca, 0x4b62643e, 0x715f48a8,
+    0x8cfa4406, 0x945db0ac, 0xe5488ac1, 0x236e7674, 0xd04dc9d9, 0x63eb479e, 0xaecaf285, 0xe729cc35,
+    0x1b4f30fe, 0x0367f224, 0xfe1dd485, 0xcbbaf7b9, 0x5e559ece, 0x81ac7078, 0xb30d6178, 0x5c094601,
+    0x9d7fea81, 0xbd0d36c0, 0x63c7d792, 0x136d5281, 0x87511e09, 0xa0fe7a4a, 0x7274c793, 0xd6d3df3c,
+    0x1234098c, 0x58f1dc11, 0xe38547d8, 0x9f341e1a, 0xac588b1f, 0x6e6674a0, 0xce3284d9, 0xa0b36248,
+    0xa8ee1c1b, 0x8dace66c, 0xbb641c46, 0xd63e92cc, 0xdd46b424, 0xdba98c04, 0x0bbae1f5, 0x0ea7457a,
+    0xee29554e, 0xaa9072f7, 0xe8a0dadf, 0x5de01098, 0x3f8afd9e, 0xd645f008, 0xed8a2556, 0x768611a3,
+    0x921dd9d5, 0xeb5cf28d, 0x9a0effae, 0x6ee7b8f2, 0x40ff8df2, 0xd6e8e0bd, 0xb4575296, 0x14e1ed9d,
+    0xe23a791b, 0x14317ca1, 0xe48dcdc9, 0x411c422a, 0x06a99198, 0x40cf569b, 0x4fe9f437, 0x95e69bad,
+    0x8efd7e69, 0x2e57519a, 0xed01dfcc, 0x19e14003, 0x75a43ca1, 0xb6d61cb5, 0x4b1e1684, 0x06c6ba30,
+    0x18a148f5, 0x7da3f156, 0xcbb8eb0f, 0xfabe405f, 0xeeedf2a6, 0x40f0adeb, 0x005ffd34, 0xbd04757d,
+    0x087b2fb3, 0xc1d2de05, 0xa5a26365, 0xecff6c6d, 0x1f2c3ae5, 0x598e78d9, 0xab2edf9b, 0xdef74faa,
+    0x49e39a2f, 0x7c6d029f, 0x398c6be3, 0xc1c9c20e, 0x143c2a69, 0xe9567f0e, 0x4f2ff641, 0x8ef79b92,
+    0x83f10177, 0x7e7e356a, 0x38deb180, 0xa4fa5fc2, 0xc227138a, 0xec3e15b6, 0xd66daea8, 0xb1300c0f,
+    0xc1f1757f, 0x9f7db66b, 0xf6865d92, 0x72184040, 0x14530ade, 0x5990a59f, 0xba09f985, 0x9d5d0e13,
+    0x811ca2fe, 0x8b75dbff, 0x195bdbad, 0xa0f13d76, 0xed94e4e9, 0xf4c390e3, 0xd200adba, 0x00696c9e,
+    0xd94e1edb, 0x3120d529, 0x3c5674dc, 0xc4e42551, 0x39788750, 0x384b9ca2, 0x95b7051c, 0x48574753,
+    0xb9d6d359, 0xfdc7e48a, 0xc40e3f3f, 0x33d26afd, 0xf9191d44, 0xe1fdda23, 0x52f7e38b, 0x60913149,
+    0x6e883448, 0xfa46e042, 0x3e6845d0, 0x9debe7b7, 0xee6bf397, 0xf121c243, 0x8595ff57, 0x67817680,
+    0x2dafa732, 0x1f9ebc52, 0x4a18e496, 0xc509da1c, 0x8b8b076f, 0x7e281a4a, 0x680d1cf8, 0x0ca8aeaf,
+    0x24a9b6f0, 0xfbf82de2, 0x85900119, 0x73e43f77, 0xe64d795c, 0x23dcd425, 0xfde22346, 0xca168f2f,
+    0x9f8449ee, 0x63e0b5c5, 0x8d129587, 0x13b75613, 0x76e4568d, 0x5a8d633f, 0x945bbf9a, 0x6de92d07,
+    0x476c09d0, 0xf9c472dc, 0xfc9680f6, 0x944e64e7, 0xc4f51260, 0xd3a255b6, 0x8357132a, 0xfd4a0749,
+    0x18161624, 0xf9484388, 0x653f3060, 0xcb536a44, 0xb9397538, 0xd57084e1, 0x913341d1, 0x82097e39,
+    0x7731fe79, 0x55c16582, 0xba0b12bd, 0x23112cb7, 0x7daa3f94, 0xe87da94f, 0xeb439ab4, 0xc7aeb1be,
+    0xfba0495f, 0x090a69bb, 0xd5702810, 0x060f721c, 0x7f96acd6, 0xd7c690b2, 0xfd5125c8, 0x18e84993,
+    0xe26ff814, 0xa7b73266, 0x5ef4892b, 0x01adf234, 0xdf6488ec, 0x34596c59, 0x74b7e277, 0xdbedbea2,
+    0x2ff87a82, 0xd971da6f, 0x0dce0455, 0x1df26771, 0x95059f3a, 0x017cc0d3, 0x8245c953, 0x7cdc94cc,
+    0x82237cca, 0x56f1e817, 0x483b6455, 0x8d69b36b, 0x25d2fb24, 0xbc58de09, 0x7ac1fe1a, 0x05bee828,
+    0x115fc1a7, 0x807c2621, 0xd78c5a96, 0x44ece743, 0x59b28b55, 0x3a600579, 0x6c0be651, 0xa6ba9735,
+    0xd215e4c3, 0x5d5ced34, 0x15844290, 0x763e957b, 0x61376c97, 0xba3223a8, 0xbd0d65d3, 0x7c98d7a7,
+    0x43ba0db1, 0x7ad52634, 0xf282aa57, 0x155417c4, 0xa21e2718, 0x37ac0a9f, 0xb57815d6, 0x3d5b1aa6,
+    0x9ad7ac2e, 0x8c90653c, 0xe60cf5df, 0x0b23c7a5, 0xfb07ee3e, 0xea3b67b9, 0x26cbe90a, 0x7b5cc2bb,
+    0xfc1db563, 0xf42ad666, 0xcdb343bb, 0x2d155ba0, 0x11aa36d4, 0xba008e40, 0xb6f653e9, 0x9320f0e4,
+    0x76013a99, 0x3eb76905, 0x75d594e5, 0x2d259fc9, 0x92fa8028, 0x32be068a, 0xdf970882, 0x26e1a67d,
+    0xdf9b8440, 0xf76a5240, 0xa925853f, 0x4b396fa1, 0xf9737c89, 0x1e30b104, 0xb5114529, 0x03b344d2,
+    0xcd30c1a4, 0x8bfcf93c, 0x87f00189, 0xaa4200ec, 0x0ebde896, 0x82fc983f, 0x60bef813, 0x2dc7fccb,
+    0x6a3dd432, 0x0e216692, 0xa77efa80, 0x819c4ea4, 0x446b16a8, 0x65d46caa, 0x345856f4, 0x40fd7b2d,
+    0xd8e1650b, 0xea1cfac3, 0x3e7d183c, 0x666bcac0, 0x1d053994, 0xc5c64f70, 0x24b13327, 0xa4122f4d,
+    0x96ade724, 0x3a31d92d, 0xc23a1b2f, 0xf6a6a105, 0x5e22e78a, 0x44957dcf, 0x8763ab62, 0x7e995e8f,
+    0xeacb34e6, 0x1f187d1e, 0x6bee7f65, 0x13e7a6a9, 0xb22b4aab, 0xc9b4f563, 0xa783e5fb, 0x12f527ed,
+    0x354d22b7, 0x52f796c6, 0x049691f9, 0x2a1d506c, 0x7be2e571, 0x85583e82, 0x80aa38c4, 0xc41a0e48,
+    0x541e973a, 0x15b79145, 0x13cb8a15, 0x020a6e7b, 0x84460ccf, 0x7ab23701, 0x2850af47, 0xce9d6204,
+    0xda01c57c, 0xdf27fdb5, 0x748f1129, 0x1605fcae, 0x2c3eda07, 0xae7a5925, 0xeeb8b73f, 0xadd296ea,
+    0x2c976656, 0xb16bfd42, 0x515ac2eb, 0xb1f83bbe, 0xe2471463, 0x51ca307c, 0xf9b415f2, 0x85ea4660,
+    0xe596d926, 0xc000ddcf, 0x3c797ffc, 0xaca6c95f, 0x43da1803, 0xbb1774c5, 0x47cd87c1, 0x33bfa44c,
+    0xbe0fb2e4, 0x5c30ae2b, 0xde256d30, 0xa4ee485f, 0x62c0f12f, 0x1b31b5bd, 0xaaa8f96c, 0x95dd21e2,
+    0x021e5c9e, 0xc2a6dbe7, 0x531dccde, 0x29785fbd, 0x0a790959, 0x22021e09, 0x776343f8, 0xda73213a,
+    0xf42eb7b2, 0x24fbfb43, 0x0fe008f8, 0x5ffb4151, 0x5bc74cdd, 0x88307783, 0x103453d3, 0x9507c7b4,
+    0x843ecbfd, 0xa7084c4d, 0xe86d781d, 0x449c493e, 0xae9ff84e, 0x80a13729, 0x95eb9f20, 0xe9992f5b,
+    0x1b602258, 0x29f92bb0, 0x4bd67314, 0x0887e942, 0xe9a533ee, 0x245cf75d, 0x704d2782, 0xf22cd361,
+    0xfe703cd2, 0x2ad611e6, 0xede1a35e, 0x9adcc576, 0xae483304, 0x15e43e6f, 0x613a05fb, 0x787b2258,
+    0x1ed2eb46, 0x635b1244, 0x0d6b50ae, 0x0dbf938b, 0x4d1ba0b7, 0x2937288a, 0xe5bc93e2, 0xbc5250b0,
+    0x4608ee7f, 0xce9dab70, 0xc4370339, 0x39202ba4, 0x80af7bb2, 0x94212945, 0x374ecb6b, 0x140cd497,
+    0x23adfd38, 0xa4fafc29, 0x515fd41c, 0x0957e4bd, 0xe2bbfad6, 0x0145c0db, 0x5635079a, 0x7f3ca847,
+    0x595b1447, 0x7313e1c8, 0x2f2fa11d, 0x92c522e6, 0xee2b1792, 0x2d714753, 0x57f79afe, 0xb5ad394b,
+    0x700a0bf2, 0x8af8b694, 0xdfd971e5, 0x30592a9f, 0xb7250d5e, 0xf0181790, 0x79893030, 0xaf1876a5,
+    0x2ec836e7, 0x7d9e5ba0, 0xae826602, 0x18fd1186, 0x5797eb33, 0x0cb24fa6, 0xe8f020c8, 0x9533a236,
+    0x2b4e85a9, 0xa45f3424, 0x95364523, 0x1aa1469a, 0x250593c7, 0x04c3897a, 0x0351c4fd, 0x5b24e488,
+    0x8740ff9d, 0xa0db6d4b, 0x0603359d, 0x1345e25e, 0xb8666fb9, 0xbfec273b, 0x512fe5d5, 0xf3414584,
+    0x5f72e7c4, 0x857c5913, 0xad49cddd, 0xbe7bf7c5, 0xeee88286, 0x431d03af, 0x4c400aa2, 0x71e287b4,
+    0xdaaaf572, 0x35ad39d9, 0x3f59c144, 0xeaed17eb, 0x5e90f9fb, 0x243ab2f3, 0xfe9d3e27, 0x242b1532,
+    0x66de257b, 0x3e581824, 0x163a984f, 0x4cfbf0ca, 0xd6a9420f, 0x6fe86a6f, 0x6f48500f, 0xe470b36d,
+    0xeae123c1, 0x1aab4e7d, 0x70c7abc7, 0x2bf200eb, 0x29b244fd, 0x280a4161, 0x720922c3, 0xf30d2a1c,
+    0x289ccbcb, 0xbfcdb57b, 0xc6b2116d, 0x7de51374, 0x6d88738a, 0x0026e61a, 0x664da7b8, 0xcada8aac,
+    0x308fa07f, 0x1efacf6a, 0xdfde2d8d, 0x4f0094c4, 0xfc33aeeb, 0xf6af1121, 0x9fd9660b, 0xa62f1f04,
+    0x711ea772, 0x9b999044, 0x0f124800, 0x032b9470, 0x810b314b, 0x84dc64a9, 0x84e55dfa, 0x19beaedd,
+    0xa7e8d474, 0x95499767, 0x76e4e0e8, 0xff7908a7, 0x05266bb3, 0x14da75cb, 0xd78cedb6, 0x7e425a72,
+    0xe60d2a9d, 0xadd401d2, 0x7f66e936, 0x5fe83559, 0x95008262, 0xd19e1082, 0x54021624, 0x454cbc46,
+    0xc803b5bd, 0x5f75821d, 0xdcd4874a, 0xd32fe05f, 0x3e6b3673, 0x3c9bb045, 0xd630d571, 0x1142e178,
+    0x2fa308ca, 0x2cd2d406, 0xf3c56e5c, 0xc999ab65, 0x9d4aac86, 0xc132dd3b, 0x101fe798, 0x607654c3,
+    0x1f6dcd77, 0x21dfeb9b, 0xe1b8ae42, 0xf065121e, 0x60b46aa6, 0x6ef7e7a4, 0x35d1b63f, 0x8d9a7146,
+    0x3e92f7c5, 0x92be09ab, 0x891db6bb, 0x5e059023, 0xc54de781, 0x989d29f7, 0xaf990479, 0x254bcde9,
+    0x40e1f5d8, 0xe05c70f8, 0xbee0e2ea, 0x5634e66e, 0xfe4e2b33, 0xe1906dd7, 0x2e1c5bd4, 0x23a22f27,
+    0xac0f65cd, 0x701320a8, 0x1f700d2a, 0xdc6bdc5e, 0xfeb56b0b, 0x91a5122a, 0x4e151b41, 0xe4ade873,
+    0x7b60aeac, 0x5a4044fe, 0xc65121d7, 0x74b54546, 0xfc18c864, 0xe2159057, 0x381305bc, 0x7d3e593d,
+    0x83d9ad13, 0x61fdbd1b, 0x330ef806, 0x8878022f, 0xaa3ef012, 0xf0e3dc8a, 0xc3a99aeb, 0x276028be,
+    0xfdcab9cc, 0xeef8781b, 0x7882b275, 0xcb0b2ee7, 0x08f3a226, 0xa9ee3980, 0x206e4d55, 0xc784e36c,
+    0xf29efe6f, 0xb20c01ef, 0x84d8ac76, 0x85024d61, 0x841c0c9e, 0xf4bd3740, 0x0ace30b9, 0x0d6d34fa,
+    0x00000000 }, /* 10**-00000000000000000000000000000026442238751609943958076612321310841593136187318\
+                          57124877138595181097623164945245383300756841758861139390364848100093433217024 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50,
+    0x0e426295, 0x8b724a9b, 0xfbe8c3d3, 0x17ccd781, 0x0b115706, 0x2e0eda0a, 0xa4e297a1, 0x4f5e508c,
+    0x00000000,
+    0xd72bd315, 0xf54657a2, 0x8c8664dc, 0x3e82a872, 0x8acb48ba, 0x320f236e, 0x40179194, 0x64f11854,
+    0x2a3cb309, 0x9229d609, 0xbbe20d7d, 0xcd52fc28, 0xe598091a, 0x9b749b2f, 0xc116b529, 0x21755ae6,
+    0xdb8a8b98, 0x336fecf8, 0x151d4455, 0xf51eb907, 0xf5b74095, 0xfe9955c4, 0x43ab0e6b, 0x9d416d84,
+    0xf242d4c2, 0xab1863c4, 0x4f8c6e91, 0x98776548, 0x8f6599b6, 0xe5e41a59, 0x59e73df8, 0xcbb09a57,
+    0xe39bfe3b, 0x1fd70635, 0x8b8dff2c, 0x2f37a3eb, 0x943bc0cb, 0x77594b26, 0x01fa3b78, 0xaf545d5e,
+    0x173aca7e, 0x04f3576a, 0xd4535143, 0x4e1dcd4e, 0x2d9ae628, 0x5d4098fb, 0xdc2c950d, 0x5343e5f4,
+    0x43e636a9, 0x2e998e93, 0xdd066fbc, 0xa9cb697d, 0x59255d29, 0xf92ee255, 0x56fa0b64, 0xe3b90620,
+    0x5dcc95e4, 0x140ce406, 0xc89df86a, 0x10f38031, 0x6c29222c, 0x6f2beb0d, 0x366cf217, 0x67120382,
+    0x72ae41b1, 0x0ef785fd, 0xa2465f0a, 0xb1828d6c, 0x187c767b, 0x05fd12ce, 0xc832da49, 0xf035d165,
+    0xc634ea24, 0x46d9a84b, 0x6106d466, 0x35ebb449, 0xd4be582a, 0x5c5439b9, 0x9a6fb563, 0x7352a828,
+    0xc75bb55c, 0x35a6caa8, 0x7d7bf372, 0x43fb0950, 0x288710f8, 0xffd6fb5f, 0xe3691df6, 0xc5aa75df,
+    0xebb2f5d6, 0x05c70799, 0x87091fdf, 0x24e84d68, 0x859fe6a7, 0xfc01f4b4, 0x4959a35c, 0x196194ae,
+    0xcf3bca49, 0xd7428c10, 0x742a2cc4, 0x245cde5b, 0x695991ad, 0x23165740, 0x6a9a8956, 0x5f17dfc7,
+    0x632d0264, 0x1df0f0c7, 0x40db1278, 0xe374b7f4, 0x40cd4893, 0x5ad42b46, 0xf1c09d65, 0x59b82a09,
+    0x48872254, 0x3160da9f, 0xf59fff31, 0x9db8a03f, 0x34ce8ea0, 0xe406b1ed, 0x5d751213, 0x881083b0,
+    0xbae211aa, 0xd0740160, 0x6bb54db6, 0xdc831b10, 0x955ae72b, 0x06b463fb, 0x0b1b857d, 0x1c686061,
+    0x19017293, 0x804db574, 0x05e87c3f, 0x668b1e8d, 0xb0f83ad2, 0xf9794a11, 0x64a216ea, 0x35b0ab9b,
+    0x6e306d13, 0xa3405e11, 0x216abfc6, 0xb8283af3, 0xf67cd63a, 0x85d6cad0, 0x8c2b7fbd, 0x98b194bd,
+    0x953937dd, 0x6e189fe7, 0x2646e981, 0x7f4c94b1, 0xb3aa501f, 0xe3e852d7, 0xd3570d0a, 0x421755e3,
+    0x6e13dcf4, 0x85a88802, 0x71e2102d, 0xe1657c01, 0xa6731895, 0x5372eb32, 0xd02d47b9, 0xcc6b990f,
+    0x2d57e7c4, 0x3d97e69e, 0x374a415d, 0x67d132f8, 0xfd5a58b6, 0xfb9e4541, 0x6310cc2b, 0x3cddebb6,
+    0x37b8699d, 0x94ea22d8, 0x0409cce6, 0x1ffd2dae, 0x6bf34cd6, 0xbe75cca9, 0x78ce5523, 0x575d482d,
+    0x237a8ad5, 0xccea90d4, 0xf14d03bf, 0x7258bd7a, 0x9f99e33e, 0x0aab181d, 0x2352eac1, 0xfbc3bfca,
+    0x7a49eb5e, 0x1f304dc2, 0x4e5bd302, 0x86583a7b, 0x9129e61f, 0x9beedf21, 0x126e4146, 0xd6f89b97,
+    0xc6c33ee2, 0x1085382f, 0xd596eab6, 0xb7c5b51b, 0x6894e868, 0x3e2d107f, 0xd251d892, 0x7179fddf,
+    0x73cd4cb5, 0x50efa7d8, 0x8d8207c1, 0xffb7440d, 0xe4956cb4, 0xb5058bb2, 0x17c7272f, 0x40cfe73a,
+    0x8085c6e9, 0x41d9237b, 0x5b4ea878, 0x47acf767, 0xd359294d, 0xfe894554, 0x4a4e8bf3, 0x67049050,
+    0x9fd5a52b, 0x9549ce8f, 0x80062954, 0x4110537f, 0x8ed3f30a, 0x55b92a70, 0x1b274b0c, 0x3c805708,
+    0x67b94227, 0x95b47b3e, 0xa0f4ce37, 0x0eef17ad, 0xcab21f45, 0x5671666a, 0x653ce1d7, 0x0abf35fb,
+    0x574bb077, 0x28922fec, 0x21e9ca5e, 0xece3e413, 0x71ae914d, 0xbae1d95b, 0x414b7bc8, 0xd3f6bded,
+    0xf9a3e0f3, 0x2a57e131, 0x15b52da1, 0xe7f3c095, 0xd76a68be, 0xe133c7cd, 0x418eb886, 0x6a0cd9cb,
+    0x2c2eb749, 0x4824150d, 0x4d842031, 0x286bc077, 0x51852dd5, 0x6f00a9b0, 0x0c454d38, 0x0dd0f468,
+    0x2aa270a2, 0xdd6760e6, 0x1d79716c, 0x159bfae1, 0x0ec0df63, 0xb4017504, 0x9b3e5119, 0x5a5149bb,
+    0x9f681720, 0x0caa529c, 0x9d435d26, 0xf3ce4e23, 0x37c0b898, 0x0169fe81, 0xe9801825, 0xe3522093,
+    0x03a20f65, 0x678d731c, 0x3859e339, 0x8d599299, 0x100d3906, 0xb79817e9, 0xcea1b774, 0x02aafa83,
+    0x7fbbbc21, 0xe74fd3ce, 0x3a402e22, 0xbd967ad5, 0xd84fe4d3, 0x51aa4050, 0x5d86738c, 0x10b752b6,
+    0x8ab56174, 0xca2d24a8, 0x12d07f2a, 0xa1b72c15, 0xa947e899, 0xdb367d02, 0x846ca5d4, 0xc2e1c8fd,
+    0x34eb32e3, 0xd01efafa, 0xf92ca4d0, 0x82f31cd6, 0x7555beb2, 0xd1ed25de, 0x23cfc539, 0xcafc8331,
+    0x48dbff0e, 0x6aca3d58, 0xcd2e5b53, 0xee716fec, 0x85ae38fc, 0x1112d56e, 0xaafa0ce5, 0x1e1674df,
+    0x9e7e1aec, 0xd2b7d9a6, 0xfa476ad7, 0xb97064e5, 0x7efd33c2, 0x64de7517, 0xe411d0db, 0x1009c5c2,
+    0x11b956fd, 0xd13e90c9, 0xb5f5d291, 0xa77229cf, 0x6f2cb912, 0xd646310f, 0x9052583f, 0x9abdaa7e,
+    0xe5b8e48e, 0x4fad1622, 0xd0754edd, 0x6c37db8f, 0xa0fea0f0, 0x04d5e800, 0x8bd005a2, 0x2f53fff7,
+    0x2c717f54, 0x421a878d, 0xcc6e7fcf, 0x077160d6, 0xffa9f811, 0x8948c6ba, 0x8c9b993b, 0xdc8edb37,
+    0x1acaf0c8, 0x4b26bde6, 0x5d8fadfd, 0x14a91222, 0x85b0fc24, 0xad443244, 0x530a6fb0, 0xb12195a9,
+    0xd736f01f, 0xa10386d4, 0xc01d5e26, 0x5c25a33a, 0x21dd6071, 0xa1b546eb, 0x61946440, 0xfd133c41,
+    0xb929dd2f, 0xba1d8ca1, 0xa3d88c78, 0xe0c0575a, 0x0f8063b8, 0x452f6081, 0xde954416, 0xf2863d5e,
+    0x0baf8b82, 0x81d76fe4, 0x9e0f956a, 0xbb0a19f6, 0xeb07c5f3, 0x94751a27, 0x87ba83cf, 0xe07f7092,
+    0x72e18fbd, 0x16385bda, 0x58c4163b, 0xdf81876f, 0xbe4a9dbe, 0x1dd68564, 0x181e8955, 0xc3cb456d,
+    0xedde3c0b, 0xf1783a79, 0x160e5a68, 0xaaf23c7e, 0x99b92a88, 0x12777b2b, 0xdfeaa1b9, 0xfe24c285,
+    0x7948f259, 0x18002812, 0x3618d97b, 0xb6d0949f, 0x4c9495fd, 0xe29ea801, 0x81b8ea7f, 0x543c2f4c,
+    0x2278b1f9, 0x2c542dbe, 0xfa2b2f7c, 0xd70f5e17, 0xbd427ccc, 0x0124d13d, 0x30a4ca03, 0x94d9b915,
+    0xfe7ec302, 0x69ff036b, 0xc4f60bad, 0xb89e578a, 0x508a111f, 0xae47c3da, 0xe573faa1, 0xd74ac1f3,
+    0x348e0f03, 0xac0e0e16, 0x85497a03, 0x7ba7db4f, 0xbbe23e7e, 0x0787cec9, 0xb8da25fb, 0x328c1e7e,
+    0xe2401abc, 0x113279af, 0x5f338015, 0x26dc247a, 0x44d86be6, 0x3baf0ea6, 0x70ce2615, 0x8944caae,
+    0xcf133a05, 0xa922da9a, 0x56baf54e, 0xbac19ad9, 0x25653dcf, 0xb51f9faf, 0xd35a1096, 0xda120b61,
+    0xb097105e, 0x646617d0, 0xf04d8dad, 0xf1c13982, 0xe349b143, 0xfa2a403d, 0x778a80b8, 0xfed83832,
+    0x5573507f, 0x08c26995, 0x02c995fb, 0x5a5921fc, 0xc3ddff42, 0x84bdcb08, 0x170dd8a9, 0xc6cbdadb,
+    0x500e7731, 0xb3a4d5c1, 0x90577b5e, 0xe09f01ed, 0xa84b2f6b, 0x1f6095fa, 0x348bc2db, 0x3e69065f,
+    0xb1e61c2a, 0x2f1fb02b, 0xc358574a, 0x4632b2be, 0x68c187c0, 0xb45da6cb, 0x511f630b, 0x76ed61b8,
+    0x7bf9de3e, 0x8d3f6e34, 0x6b2a4444, 0x4d220ce0, 0x35939981, 0x6f4fcf32, 0x67780c05, 0x935017c8,
+    0x29fd53d6, 0x4d4fe8b7, 0x9cb9daa7, 0x4f1b2e7a, 0x001413bc, 0x26bd9e27, 0xbe2f12f9, 0x7bb07e69,
+    0xa1dac6c8, 0x9c07fd76, 0xbf819a88, 0xc021a9be, 0x6b46bc84, 0xc49cdf33, 0xb4f9d01d, 0x08100542,
+    0xbab6c91f, 0x381b166e, 0x5de79b7e, 0xff6820ac, 0xe58c636b, 0xdd52be06, 0x8f946716, 0x5f08179e,
+    0x04147c5c, 0xb1622424, 0xa2162591, 0x49d587d0, 0x55b0b8da, 0x7bb05ebf, 0xa5dc9b95, 0x5b6f10ab,
+    0x947e624f, 0x016cbfe2, 0xfed93a57, 0xd43b06b9, 0x632ca88f, 0x81bd9517, 0x7fc173c8, 0x8408dca0,
+    0x33b56290, 0xa4170481, 0xa11945c6, 0x7b795772, 0x04418da2, 0xb94d0b19, 0x834e7a0d, 0x741f90b6,
+    0x3fb46c7b, 0x386e1c32, 0x75b29684, 0x95b835d1, 0x53d07caf, 0xaf8922a6, 0x536b4434, 0x24d86b83,
+    0x6e547dcf, 0x9e0b72c2, 0x5192b21d, 0x0d7aab81, 0x964fdb90, 0x62b643d2, 0xbc614a02, 0x45671351,
+    0x9c2140e6, 0x1add8139, 0x32177b18, 0x3b58337c, 0x5e203cf3, 0xe7034cc9, 0xfa3769c7, 0x89e53989,
+    0x95ab02c4, 0x5ae3af96, 0x9354309a, 0xd1ca8ce3, 0xb85d9949, 0x2190f785, 0x8448d164, 0x136e1db9,
+    0x5c260999, 0x0155dc8c, 0xd2566d25, 0xd5f324b4, 0x4ebf659c, 0x1199010c, 0xf7bdc8fa, 0xbc45662d,
+    0x12db0437, 0xf2f428a2, 0x59463fff, 0xa76e1d7b, 0x2c7e7755, 0xbba5dd1f, 0xa71dde69, 0x1cce3f70,
+    0x52701df2, 0x6c1249d7, 0x60306098, 0x01625aa1, 0x5d71b12c, 0xe672cc3a, 0x2e5843f7, 0x1cb5332e,
+    0xe2f927ae, 0xb5e7df2d, 0x243355f6, 0xa993f161, 0x01fb4f98, 0xc8fd5424, 0x6a135f73, 0x46f4d226,
+    0x5242acfb, 0xe7f2da99, 0xe4fe58f6, 0xe81b4318, 0x422a8627, 0x4feb3359, 0xd5ab0970, 0x2b40e68c,
+    0x6192a30c, 0x3ea682bf, 0x52e9373e, 0x8af0c86c, 0xcc091921, 0x81519e71, 0x25acbee0, 0xcaceb93a,
+    0x6f16c9a5, 0xb132cb50, 0x72ee18fb, 0x2b60d247, 0x0f2dce0b, 0x5cbd066a, 0x537a34da, 0xee49a9ef,
+    0xa5772d70, 0x7c29b65e, 0xd1b61e08, 0x642d3180, 0xae844c56, 0xf07d022c, 0x02dd1e62, 0x016c8267,
+    0x8d7e5619, 0x9d3a95fa, 0xe143c764, 0x8d5ba1ec, 0x78ab18d4, 0x42f5c34c, 0xac793443, 0x9f10202f,
+    0x88a90539, 0xc5b180a9, 0xd3e91f93, 0xe02b906f, 0x790f1cf7, 0x4ce23863, 0x4be93f4f, 0xdebe0ba3,
+    0x05aa45f0, 0x71bc3191, 0x6c97e022, 0x11f316c1, 0x93b23984, 0x9122aae6, 0xa0493325, 0x89b31858,
+    0x6220e85d, 0x6f8207f7, 0xd39bb6d7, 0x069e6122, 0xc3aef344, 0x8d9edfa6, 0xd982ec3b, 0x8c39ab2f,
+    0x322a1d66, 0x3052716a, 0xd17abd11, 0x31a0d110, 0x5570d213, 0xdc5844d6, 0x01f3e803, 0xae15dc8d,
+    0x1641fecd, 0x3cd153ba, 0xd291afc7, 0xebee46c2, 0x389025fc, 0x020f3554, 0x633ec25a, 0x5b0495c2,
+    0x8ed5f1c3, 0x4feb73a8, 0xc6bca7ed, 0x91e46407, 0x01418a7b, 0x567aa09e, 0xb165bace, 0x2c22aac4,
+    0x096b865e, 0x4e0f44a2, 0xdd5a2c92, 0x184c0d0f, 0x024b215f, 0x25f08e3e, 0xc30be296, 0x0e99e391,
+    0x04f24c65, 0xb33784fa, 0xd9dde68f, 0xe09de5d3, 0xd1e1f4f4, 0x2d32e63d, 0x6ae0d286, 0xb5da3f40,
+    0x0736a9b3, 0xea18fff8, 0x43c7c04c, 0xbf49ab2c, 0xc86f456d, 0x053e5dd3, 0x22fca166, 0x133dd206,
+    0x6f51ea20, 0x4216a0ac, 0xda25052b, 0xdee49d7f, 0x63943b0e, 0x26745f70, 0xc02c48f9, 0x4241c6aa,
+    0x80013a65, 0x6879ee3a, 0xf5cdf64a, 0x3fd8b6e4, 0x5fcab61d, 0x53960fdd, 0xba8a6a48, 0x1246ac61,
+    0x8977adfa, 0x21c06e07, 0x9e6773fa, 0x70fda681, 0x183f3675, 0x64df8eab, 0x3dcf8b77, 0x91c1ab04,
+    0x06adea7e, 0x2c1f32ad, 0x2e8751ae, 0x09eea311, 0xe46e8d10, 0x2804d027, 0xb0a20d82, 0x50b60394,
+    0x7af472f8, 0xf12d1013, 0x676ac3a7, 0xf28ffb2e, 0xa6f3a2b9, 0xd06ba684, 0xced0c1d1, 0x8c06fd99,
+    0xcd7ac222, 0xc5e02196, 0x446b1c80, 0xd71f0fc2, 0xd10d13f5, 0x0d427da8, 0xfc0c5f7c, 0x082d2af6,
+    0x59eb06de, 0xbf9e4080, 0x3ae80df2, 0x3097270e, 0x1fac458f, 0x6bc6bed5, 0xcbc176cd, 0xdc5a1590,
+    0xf33698de, 0x5b49c080, 0x8ba805fe, 0xbf070b27, 0x8cb113d1, 0xa35be8ce, 0x231b471d, 0xf640e007,
+    0x4aa6ed30, 0x23418432, 0x2ec9e8d3, 0x47d33d19, 0x8caa1757, 0x70881ae2, 0x1d1f12af, 0x7a585652,
+    0x11a8a0a9, 0xb4fe0b6c, 0x9a8b2838, 0x9c053fb4, 0x1afd5787, 0xad2f1630, 0x471e0771, 0x098b692d,
+    0xa9c17521, 0xb564422e, 0x0d79e57a, 0xcd841683, 0x2969de14, 0xfc9476d6, 0xa4cfaf06, 0xdf88e918,
+    0x330aea38, 0x0b0d2baa, 0x783369f9, 0xb563a46d, 0x330df546, 0xb3662b69, 0x0b294d5d, 0x68116d8e,
+    0x0a133f0e, 0xc5e0550d, 0xc73b9e30, 0xfc21960c, 0xb640d745, 0x6d5c2633, 0xa5e0cbae, 0xa11fad0f,
+    0xe811ff65, 0x65510c83, 0x3a21915e, 0x0a372392, 0xc1122cb5, 0xf0a7d946, 0x18d5a77a, 0x8477fe22,
+    0x8987dbdf, 0xb0d683fb, 0xf393d848, 0x6ca5fc16, 0x1b4d7596, 0x8256f7b6, 0x4f6e2c36, 0x429ce8e3,
+    0xf603d5cd, 0xb09cebbe, 0x13ee2c7d, 0x706ec4aa, 0xf94c425b, 0x869c68f0, 0x929bd522, 0x2c98ee2b,
+    0x93468698, 0x72c175b9, 0xbfe82f45, 0x3974ffcf, 0x6cec60fe, 0x2031fc23, 0xb9012b99, 0xe35d630a,
+    0x317e11a1, 0x4cce7c38, 0xa73d9b14, 0x87985b6b, 0xe4ee33ad, 0xb921877e, 0x4c56517b, 0x584aedd1,
+    0x35555076, 0x74299a97, 0x6e1fd39f, 0x4e02380f, 0x534425db, 0x6b02ed8b, 0x3a37649e, 0x010c66c2,
+    0xb1881f9a, 0x13263876, 0xd1201a9f, 0x3a27c92f, 0x59174b9b, 0x83c98048, 0xad906ca5, 0xc262f06a,
+    0x540901dd, 0x5e41e4e3, 0xc7b07162, 0x8facd023, 0xc5bbb87c, 0x984ddd62, 0xac3fbced, 0xcd6d5ac6,
+    0x300ab32b, 0xd407b548, 0x90cca952, 0xa0fdc14d, 0x48fda84b, 0x2f414c43, 0xb68cb685, 0x1b548148,
+    0xd380d888, 0xc9268a62, 0x3d9a693e, 0x137b5588, 0xa26675f6, 0x1f66fce1, 0x7d95f235, 0x88c3149f,
+    0xd4e185b6, 0xe3cf8ede, 0xa4bff2ac, 0x3c06b1c3, 0x609ae102, 0x769eeaac, 0xf3efd602, 0x10563dc4,
+    0xd80c60e9, 0xfdf88002, 0x3daf2d65, 0xc1eb6ba7, 0x5cdd632f, 0xaa41eca4, 0xd930b16a, 0x6f844040,
+    0x981181a1, 0xd44abae1, 0x18f868e3, 0x7dc4c376, 0x16b3984a, 0x451e9260, 0x6399b8d6, 0x637c5bc7,
+    0x8fbe9c7f, 0xed9e5391, 0xea69d13e, 0xe931b23f, 0xbad49043, 0xafd9e608, 0x5de1f5d4, 0xb6dad268,
+    0x6329c429, 0x319c911e, 0x09b0d98e, 0x7e6a27d3, 0xef430c14, 0x1fc04620, 0xdc03ee55, 0x61bdd3b6,
+    0xc602f83a, 0x29219e09, 0xa3adeac9, 0x1d59391c, 0x7d660649, 0x98d10715, 0x174ed445, 0x86cb0aa5,
+    0x8b2c30fe, 0x9223621c, 0x56f28dfb, 0xec6f401a, 0x2f32ab0f, 0x1a5123d7, 0xf571bd94, 0x5b45b309,
+    0x27fa3bc0, 0xd4e52629, 0xfd47430a, 0x6e17e07a, 0x906a73c1, 0x671f0be3, 0x7cb78a06, 0x9dd38a77,
+    0x16656124, 0xd23bdedc, 0x4475829f, 0xf81f25c6, 0xce09f027, 0x045a0702, 0xb066c5bd, 0x9f17c1c6,
+    0x25819efd, 0x70ba62ef, 0x09d73ca3, 0xf589957f, 0xc0dec1b4, 0x47267a7f, 0x6a3f819e, 0xea6ca9cd,
+    0xb43ecc26, 0x8f99420a, 0x51f65ca9, 0x62aa7466, 0xf0ce6bb7, 0xf4cb04c2, 0x3ab4883a, 0xe3a551df,
+    0x2ba79ee1, 0xb596f5d7, 0xcbf53b79, 0xf9c1d116, 0x063fca96, 0x2df10a0b, 0x3cd02bb7, 0x2c033eff,
+    0xf3367cbd, 0xc712a042, 0x3709e966, 0xf0a2dbcc, 0xff2497b9, 0x65adcc4e, 0x944f38f8, 0xc4d210bc,
+    0xa63ff5ca, 0xa8341ad0, 0x8a2ac268, 0xcbde19fe, 0x2290c59d, 0x629297a6, 0x70f6da1d, 0xc41ce2d9,
+    0x62616ff3, 0x6ca9019c, 0xe4306c4d, 0x679d0a77, 0x7fc9dcb1, 0xc9761071, 0x043f409e, 0x9a08ea3e,
+    0x00000000 }, /* 10**-00000000000000000000000000000013221119375804971979038306160655420796568093659\
+                          28562438569297590548811582472622691650378420879430569695182424050046716608512 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8,
+    0x0721314a, 0xc5b9254d, 0xfdf461e9, 0x8be66bc0, 0x8588ab83, 0x17076d05, 0x52714bd0, 0xa7af2845,
+    0x00000000,
+    0xeab30e23, 0xa7bb0071, 0xe061a713, 0xe09d24dc, 0x2d5be3ab, 0x49290522, 0x804a8ed6, 0x5ac21963,
+    0x4ce34d5b, 0x7a3a98b7, 0x60a624d8, 0xd472d892, 0x42074ec2, 0x20e7e20e, 0x3e049182, 0xa85daf3b,
+    0x2a06fd6f, 0x552897b7, 0xa118331f, 0x47f68e18, 0x3913e615, 0xf7ed8182, 0xca1f01a0, 0x00cb700e,
+    0x1b715383, 0xb04221ea, 0x7c9af6a0, 0x60d4dd3f, 0xc1a8fd9f, 0x9a743a33, 0x8d24bd49, 0xe661628f,
+    0x22c9f5e6, 0x94212f2f, 0xd15a3a7e, 0x822a21e8, 0xc602220b, 0xdfb8e5ac, 0x9498acc6, 0x735f3725,
+    0x755ee065, 0x30e9a9f4, 0x3300be48, 0x89d0b6b1, 0x715bf2d4, 0x050c0351, 0xf1f79199, 0x5f940ca2,
+    0xdc5295f2, 0x851a943e, 0x642b1075, 0x749b5668, 0x6ef6081e, 0xea7b1ef5, 0x2a5595b3, 0xe427c6f9,
+    0x4b973549, 0x4683f02a, 0x74234e17, 0x373f058b, 0x2f2baee7, 0x5ca9dda3, 0x03bddf84, 0xbdedd899,
+    0x83c33e94, 0x0ae3517c, 0x1d59d1f3, 0x65f7d618, 0xfca36d43, 0x04cfff68, 0x0c1e4273, 0x9d6a0841,
+    0xc7a971bc, 0x2cc36fd4, 0xa6b043fb, 0x89064044, 0xcab758a3, 0xbebc83b7, 0xb99c8aac, 0x66e6007e,
+    0x49fee299, 0x97f8034f, 0x1eafab01, 0x498fbd1f, 0xd3a43320, 0x35b246a8, 0x12785601, 0xae72f130,
+    0x31f246b0, 0xa0861a00, 0x4628ebab, 0x5f951931, 0xa84dd4af, 0x4e5c422c, 0x2f47515e, 0xd80a5ec3,
+    0x307de9a9, 0xd53737f1, 0x76edcbd3, 0xca478259, 0x1ce74529, 0x4a159312, 0x48a87936, 0xe582c672,
+    0x21826b44, 0x16327dd5, 0x4da3790c, 0x12525442, 0x5eb8ab10, 0x16791b7d, 0xf5fa3ff1, 0x00879d55,
+    0x45ab7f18, 0xc0a86ffe, 0xfaa844d0, 0x1dd00639, 0x75c44c1c, 0x09cafd2d, 0x80dbb731, 0x77f8f568,
+    0x177bc977, 0x01980dab, 0x41dc9d4a, 0xdc9cb91f, 0xc3e536c3, 0x2fc8630a, 0xa5954cfd, 0x8ba6d491,
+    0x63b48341, 0x026abd6e, 0x1827490d, 0x4c6bde1b, 0xae0443e2, 0xb2c2e419, 0xbe660171, 0x4bc87df4,
+    0x194ed040, 0x04ae385e, 0xfdfb7b06, 0xa2aa86c9, 0xb5528e71, 0xca54571e, 0xe157c0d3, 0xa0a549eb,
+    0x3758b7d1, 0xc823cb12, 0x61c12b77, 0x93e4cf5f, 0xcba16fa3, 0xd0cae26c, 0x71202602, 0x2651ba56,
+    0x96ced0f4, 0xcab839bd, 0x7a399202, 0x55bb4caa, 0x0638acb8, 0x473bedb6, 0x99a7ef7d, 0x1366b455,
+    0xe373311d, 0x7445358c, 0x1712eeaf, 0xd5971830, 0x0b6344c6, 0x7f06ce8b, 0xacc39f89, 0x0485e5af,
+    0x6431cbc6, 0x53004bd0, 0xfec06730, 0xb3a6f4db, 0x8d4da7e4, 0xeb123a45, 0x6edec09b, 0xe115a09b,
+    0xc605720b, 0x8220daf2, 0x17370832, 0xf118e112, 0xeb60fe10, 0x1c577016, 0x17751645, 0x2d1461d0,
+    0x9eb338ef, 0xce3d8cf2, 0x35902c2c, 0x556e2fc9, 0x6b995198, 0x2d63322a, 0xb96725bd, 0xf08f4382,
+    0x53dafba6, 0x172014ab, 0x477663c5, 0xeee9294d, 0xf1b87274, 0x90bd4c6e, 0x01a25318, 0x09029356,
+    0x46550459, 0xbdfb103d, 0xdd7ddb0d, 0x2070d693, 0x88f080a5, 0x3c971d66, 0x8dd6833c, 0x04d9a1e2,
+    0x316d3eec, 0xb0c69b41, 0x704370a9, 0xde74a131, 0x67138a84, 0x3686016c, 0xa9b5c627, 0x13efb134,
+    0x9a64afdc, 0x2ecd27da, 0xa3975ff2, 0x971d2d9f, 0x744b8ddf, 0x877d1494, 0xb18cef5e, 0xa5c1fb73,
+    0xc40bc526, 0x7d6d0fd0, 0xea9770f7, 0x6169ae5e, 0x41d25943, 0xb33a968d, 0xf56e486b, 0xb03de923,
+    0x762b0360, 0xd73985cd, 0xc7892117, 0x79ad78b3, 0xdba6b5bc, 0x316a62db, 0x08c4c3ee, 0x85d64692,
+    0x0a957990, 0xb1a45976, 0xaaad1d7d, 0xad6aae1e, 0x73086bab, 0x5456fe3b, 0x0a29817b, 0x95f95781,
+    0x2ef22bbe, 0x2985e4ef, 0x2398d5e6, 0x058737ba, 0xb34c85bc, 0x8d14c3fd, 0xb2ee71bf, 0x832ed986,
+    0x3b44bfef, 0xceb16f97, 0x2a25e9c2, 0x94dd0349, 0x025e81fa, 0xcfcfd6a9, 0x7750fdaa, 0xcbfbc2d1,
+    0x7d6d29f3, 0xb24e2478, 0xdc4d494d, 0x88b87e64, 0x9db8e83b, 0x2fd5d744, 0xdacd1245, 0xcccf5eda,
+    0xea0bc97d, 0x0e52ae8b, 0x72376b17, 0x2e26be1d, 0x03370f9a, 0xa186e514, 0xe2a9d2a5, 0x4fd5b7bb,
+    0xcaf56c63, 0x2be4fcaf, 0x72b10395, 0xa9400114, 0x5d7d5615, 0x74fc629e, 0x2f26865d, 0xd94d30d2,
+    0xb7820fe6, 0x3408d110, 0x8feb9030, 0x673516ae, 0xbae24eb2, 0x21fca058, 0x398f11e8, 0x3f1b8f5a,
+    0x63bd7c22, 0xfff0933e, 0x9c6f98f6, 0x100967a3, 0xccda345b, 0x02024c0e, 0x5f7139a5, 0x379afc9f,
+    0x97bbcfd7, 0xeeef9ca7, 0xec5bb606, 0x59870bc9, 0x61faab89, 0x435c1a88, 0x0ee6af0f, 0x5e5a6ca7,
+    0x64284cd1, 0x7f54a49c, 0xb0edd92f, 0x3212422a, 0x6940fcc0, 0xdaf10f6d, 0x279a34d0, 0xe05bd705,
+    0xa1d1151d, 0x3bf74bf8, 0x44999a18, 0xe99ce55b, 0xcc7168a3, 0xdc8e6538, 0x348bc401, 0xee99f0e9,
+    0x8fafc65d, 0xb8d0e0d4, 0xf5fdbf46, 0x319995cc, 0x03cc0f0e, 0x519e1912, 0xdd38f8c3, 0x1ce1d686,
+    0x1aa3101f, 0xb3e333bd, 0x0bd7c590, 0x38995326, 0x2c22f1b2, 0x08835e50, 0xbaacaa01, 0x31d6d128,
+    0xeb92ddc2, 0xa6b8b670, 0x1970e744, 0x098007f6, 0x34eb332a, 0xadfabbae, 0x02d9965d, 0xd08e28d1,
+    0x4e7870e9, 0x04f44773, 0xe015855e, 0xcfcebb8c, 0xac5f915b, 0xb17b7e6c, 0x201c2e80, 0x2a8ff016,
+    0xeaf0dbff, 0xaa64fe00, 0x22b75ccb, 0x57f7f1d6, 0x3c8826b4, 0x25d2ca69, 0x83ad79e6, 0xdb29390e,
+    0xad376f50, 0xcdae82b7, 0xde403eb5, 0xaefba6ad, 0x1a44269b, 0xc7355f69, 0xe63bf0a8, 0x45c9f028,
+    0xa43500c4, 0x67d36bf6, 0xd215ddd5, 0x45400ff9, 0x7cef6ee6, 0xe69f18e6, 0x80769d1b, 0x4cac030b,
+    0xdb4f0a37, 0xdbeedaa4, 0xcfee2a0a, 0x0d81d5d3, 0x1c29b751, 0x0ab1c7c7, 0x369d46cb, 0x7bed5438,
+    0xd976840c, 0x28eb533f, 0x950c6449, 0xce0637df, 0xb86dfdb6, 0x4ea4648d, 0xaed12f8d, 0xd9f17d41,
+    0xea0d1acd, 0x45e22421, 0x962e6377, 0x485818ee, 0x3a147193, 0x56743d0b, 0xc2151a5a, 0xea42adf0,
+    0x54883307, 0xfc77f675, 0xeea33337, 0xa17ab7aa, 0xe15e1c74, 0x9ecafe59, 0x79e87ac4, 0x49fed37f,
+    0x35b3dfd9, 0xf0c119ed, 0x8f9e8909, 0x081417f9, 0x32addefe, 0x2d821095, 0xad95d28c, 0x09fde68f,
+    0x04f0c5b2, 0xa7526d9b, 0xedd1fac5, 0xd92c8875, 0x47278ebf, 0xc9357f11, 0x82ebfb94, 0x9032810e,
+    0xb5a63634, 0x65bb46a3, 0xad12d65d, 0x379814ab, 0x46be8e3f, 0x45ee974a, 0x98203e07, 0x807838c7,
+    0xf98218ff, 0x682524c7, 0xb4d00763, 0xd4777259, 0x048f0dc5, 0xffa627c9, 0x8a7873fd, 0x8fa89c1b,
+    0x85723314, 0xfc5474f9, 0x6b7bfe6a, 0x5a16a8b6, 0xe95ffc2c, 0x7aa6d0a7, 0x915c523f, 0x4496bfec,
+    0xcaf856a2, 0x77f1c7bf, 0x2620734d, 0xe46ed0aa, 0xdcea0960, 0xba09630a, 0x3fc0c629, 0xe53ba6f0,
+    0x15e436fd, 0x78bed1f8, 0xae4d9229, 0x8687429d, 0x1f8563e5, 0xb3845427, 0x77c432c6, 0xe1c65927,
+    0xf5ebe5e9, 0xc1741c0f, 0x6f9d051d, 0x80d03ca6, 0x08cc06de, 0x0e4aa258, 0x4c294bfc, 0x8a35f4c2,
+    0x21169f23, 0x2d3db1ab, 0xe83dc62c, 0x3d67b5e4, 0x5d80254d, 0x660e2a20, 0x18e7d743, 0xdea2da60,
+    0x9a227b26, 0x98c0bea0, 0xb0b58deb, 0xbbfa8898, 0xa11fbc01, 0x9f498076, 0x09039ae7, 0x2f218be5,
+    0xa8b3f821, 0x7bf28cc9, 0x56fd4644, 0x39365274, 0x55e24bc5, 0xb2cffe98, 0x14d5d61e, 0xcfdbe2ae,
+    0xee69ab90, 0x7aacb8fa, 0x291b606e, 0x983c1443, 0x477d5dc3, 0x5593847d, 0x87c02e60, 0x868136d7,
+    0x5b592ded, 0x7b03b19d, 0xd062401e, 0x113ac523, 0xf8eac809, 0x2da5127a, 0xc0a9e9ea, 0x03b0e578,
+    0x9d7c0a28, 0x7a00f5b2, 0x7ea5e257, 0xe07a4713, 0x8bf025a5, 0xe30c21bb, 0x7ddd8244, 0x6315a8ce,
+    0x0ee402ce, 0xaf9edc79, 0x869e3fe4, 0xed4cf232, 0x4854161a, 0x4cf9ee35, 0x142f74c6, 0xc9c44214,
+    0x5bd1ed5c, 0xd06762d0, 0x7a7f21f9, 0xf4f1cd7b, 0x2a778045, 0x86c6b335, 0x057c1ef0, 0x2e4584be,
+    0x0fabf78b, 0x1c25c8df, 0xe488d224, 0x6fbf33c9, 0x48b06e8d, 0x65e89ade, 0xdb8de667, 0xa109d4cc,
+    0x090d760f, 0x108e5bc3, 0x8fc970b9, 0x42c3f06d, 0x3b2a7bb4, 0xc38eceb7, 0xd3b24ce3, 0x089d2158,
+    0xf8c1011c, 0x90205083, 0xe623c32b, 0xa7b5ecf3, 0x1943ff16, 0x7690ec64, 0x69911521, 0x20acb559,
+    0x28655659, 0x82be1850, 0x499e4050, 0xd79c5bfd, 0x568c526e, 0xd7bffb10, 0x0fb85646, 0xadb3abef,
+    0x2c278cf3, 0x72700734, 0x233e6baf, 0x661a40d6, 0x73ac8f2a, 0x2479cc84, 0x6204ca6f, 0xa4c7b526,
+    0x0a569806, 0x0de11c83, 0xc9fbd1b3, 0x3e1aee1b, 0x1efd3367, 0xa7048d1f, 0x5efb7fc9, 0x89a21e5a,
+    0x0c983dfe, 0x37c6764b, 0xdfa36d14, 0xf0734b5c, 0xd937716c, 0x4bc9cc0e, 0x71d24558, 0x54f84d72,
+    0x53f66d04, 0xc613f7fc, 0x56de17f0, 0x65680cf3, 0xa2af364c, 0xdf5b1fa2, 0xa92d5bd0, 0xdee808de,
+    0xec1f4d57, 0x376872dd, 0xac05293d, 0x5a46a0d1, 0x2292aaba, 0xd81e06e4, 0x55a646d1, 0xcb609b68,
+    0x9b3cac63, 0x64bc4fb6, 0xd4f3cbeb, 0xe45e3667, 0x96120544, 0xe7c18e35, 0x0c0f2016, 0xe439c10d,
+    0x8681ec0c, 0xdb55ade8, 0x03ba7fe4, 0x2e8bbc58, 0xd0615b74, 0xa15ca952, 0xe910f065, 0x50c2989a,
+    0x0451c1dc, 0x9581e75c, 0xb919af32, 0x3dda38f5, 0x870dea10, 0x56a63437, 0xa3a76fdd, 0x3df8103c,
+    0x1657e50d, 0x914ca6df, 0x8b6206f9, 0x0af61d74, 0x7bb043e6, 0xeb331331, 0xae0332bc, 0xc64de1c3,
+    0x2d850aee, 0xe483d0de, 0x282ac791, 0xd1229400, 0xaaed71a5, 0xb556879b, 0x004be782, 0x0ebdd0e8,
+    0x2ba9b077, 0xd87ddc0d, 0x4a8d39b5, 0xe67d966d, 0x4c54c6c0, 0x60787507, 0x62e4f569, 0xd7ce5028,
+    0x42449668, 0x6a3ffb14, 0xbb893b1b, 0xcc6a0a1e, 0x3eea12f3, 0xf4f2e0e4, 0x97ee1afd, 0x4345930d,
+    0x441fb8a9, 0xf7c990ae, 0xc368754b, 0xfce592ca, 0x3e32cdea, 0xd5e680df, 0x8152c002, 0x4b347eaf,
+    0x03e8b37c, 0x3a3a8ccc, 0x47e463bc, 0xdefe8585, 0xc83f0faa, 0x0ebb0c41, 0xbf5f397b, 0xd2623f5b,
+    0xe6629014, 0x32cb5f85, 0x3f64af03, 0x0f643cbf, 0x3b96934c, 0x2c21c718, 0x3e0bed49, 0x2b38ce19,
+    0x900dbfe2, 0xd014f679, 0x7866301e, 0x96d269d9, 0x79eef14b, 0xdb6d1694, 0x16e1b2e2, 0x87d55d08,
+    0x29a11580, 0x8e95b5b5, 0x488eae4e, 0x4f2ce8ca, 0x2f510442, 0x14663aa0, 0xc21a2ed0, 0x7503aaae,
+    0xbdcce9e5, 0x38101180, 0x1e81826f, 0x5284a493, 0xb8c6d558, 0xdfcbfc1d, 0x85f95a6d, 0x1c1138ba,
+    0x41f4a622, 0xbb3354c9, 0xf2e3f3a1, 0xb8d9f0ad, 0xf7bcf25c, 0x841fef38, 0x7f3b2c95, 0xfb1e04a2,
+    0x1f76e934, 0xe290ecbe, 0x2a966441, 0x7a8dc5d0, 0x18aa1acb, 0xc86eea49, 0x8c28d35b, 0xbf8e50ff,
+    0xf0ca9abc, 0x3a614e3f, 0xc508615c, 0x5990d643, 0xf48ddba9, 0x1379a83d, 0xd14c853f, 0x63946ae7,
+    0x95da11db, 0x8ffabb27, 0xae0d90b4, 0xcd71160b, 0x5b10e9aa, 0x0298367a, 0x2cbbc182, 0xaef0d71d,
+    0x62f226c1, 0x529f7685, 0x15273bce, 0x1cd58426, 0xb24e3084, 0xcd8f6cb1, 0x87a1e9b8, 0x696916df,
+    0x28f96d2c, 0x6b22a80a, 0xc4fa4651, 0x82745919, 0xeab74497, 0xe6f04b0f, 0x85627050, 0x4ce568e8,
+    0x9036432b, 0x5e24f4aa, 0x7416be63, 0x952d6e79, 0xcfb299e6, 0x094c08bb, 0x3706f4c2, 0x7328fd80,
+    0x265384bd, 0x4e269559, 0xd9e51c90, 0xc8320b76, 0x54020e72, 0xba7358d9, 0xc1f7c1c4, 0x3302ec34,
+    0x4170cbd5, 0x389f6cce, 0xec50c97b, 0x765531ba, 0xa00e56db, 0x401f2351, 0xd926ec29, 0xe661fe72,
+    0xa37cbe38, 0x32d618bf, 0xdaa7365a, 0xfac2777d, 0xabcd5ee9, 0xac2c5bf1, 0x240414bd, 0x9ecf20b4,
+    0xa7823d8d, 0x1c7a9bd1, 0xd6d80e54, 0x3803f137, 0x96349e68, 0x250d03e7, 0x1d58e727, 0x7fb4df75,
+    0x56326066, 0x336f251d, 0x1e6315e7, 0x3d4e666a, 0x9b488cdc, 0xe399d197, 0xc0ad83b9, 0xb1a72756,
+    0xd28557f3, 0xe679b0e7, 0xd2d7383f, 0x8fdf380c, 0x0b27fbd9, 0xb04b01dd, 0xc508b116, 0x6f68b5fe,
+    0xc88c4e41, 0xac32f921, 0x4ead6f9c, 0x14ec89e0, 0x9edaef53, 0x9837a7b3, 0x3856484b, 0x37ded546,
+    0xedc87569, 0xe7570913, 0xd0c67b04, 0x6f9eba54, 0xb2f86669, 0x1bfe0ee2, 0xbafc2952, 0x1383fc3d,
+    0xb74a7a2b, 0x05174a79, 0xd1dbf033, 0xb37fb49d, 0xc9d74a62, 0xbbb0adeb, 0xb0c7897d, 0x0c9263ef,
+    0xe78c409e, 0xf1c80d9c, 0x0a0a1c68, 0xafc25fc3, 0xc1812f09, 0x979827ab, 0x73a55e6f, 0x8c739327,
+    0xd61bef5e, 0xa9268777, 0x14c9573a, 0x5d171508, 0x83ed1e93, 0x59dd0d16, 0x0bbc4b6d, 0xe3c61f5c,
+    0xb0df1333, 0xc02ab71f, 0xd9a55fa8, 0x8a0cb797, 0xf6ab9e06, 0xdfc1fbc6, 0xd02245ff, 0x9a7da452,
+    0xaa89030e, 0x0b4a2fda, 0xb2ab628b, 0x1905b752, 0x354e2cdb, 0x5f7a3059, 0xeb70c60a, 0xa9388363,
+    0x6b1a48df, 0x29549c83, 0x6f8b0311, 0x569d4b76, 0xb772766e, 0xaa4f8c9d, 0x35731ed8, 0x0bc3a18c,
+    0x01a11a95, 0x7e39f381, 0x06f0b2f6, 0x7ee398db, 0x19683f25, 0xad1237e4, 0x2745b8a9, 0xce679060,
+    0xd5343e5f, 0x78a5dd5b, 0x81aadf84, 0x9a8b9809, 0xad46200a, 0x796312d6, 0x1e823400, 0xc862092d,
+    0xbad60950, 0xf51880eb, 0x77a6fe49, 0x9e770a5c, 0x7a7cd3bd, 0xe51cfad7, 0x920d3f00, 0x11e94f62,
+    0xaf8a2d1e, 0xca2c3f88, 0xe234a745, 0x4179d515, 0xd6802a60, 0x7db147e7, 0x07a67dc1, 0x082169cb,
+    0x66a3a5a6, 0xee9969ad, 0xdd699303, 0x00a4c690, 0x6fc4926e, 0xc067728d, 0xd039b791, 0x3d8a5cba,
+    0x5a62f160, 0x867bb4c0, 0x200bb5fd, 0x7d163017, 0xcd7449f1, 0xa1cf3025, 0xd05f04ed, 0x590ba895,
+    0x60cbbdfd, 0x402bfda4, 0x9209da14, 0xe9a82a16, 0xd08254a8, 0xfc1d1b25, 0xe80f22aa, 0x469e8821,
+    0x36bdf023, 0x18b0ff90, 0xee306cce, 0x72f14db2, 0x309282d0, 0x3b108084, 0xc5ca25c8, 0x5bf95045,
+    0x634de103, 0x96580514, 0xc834362f, 0xfd8d76b3, 0x166caeaf, 0x0b8f1849, 0x6567b6e1, 0xd398280e,
+    0x4930be8b, 0x8a89f60e, 0x01602492, 0xb19c43c5, 0x3564d911, 0x41f3a3b0, 0x303cf194, 0xb0059cb5,
+    0xea5ffe96, 0x2cf72094, 0x9b678f4b, 0xe5e327de, 0xefa53dc1, 0x29794d7a, 0x5cea6869, 0xc225bbe3,
+    0x5e05dfef, 0x17542487, 0xf35a4321, 0x648de38d, 0xefcbbcc1, 0x5d7f9153, 0xaa7549bc, 0x05b89879,
+    0x1158389a, 0x33742ae9, 0x3ceb2b36, 0xf61e8d72, 0x14c99491, 0x29d7ded8, 0xa864d7ae, 0x34bf8836,
+    0x0fc52c7a, 0x06a946dd, 0xfa67d617, 0x45afdbe3, 0x95a7149f, 0x51871863, 0x2087330f, 0x8d3ef88f,
+    0xe9e1a4c4, 0x464e6a1e, 0x43259458, 0x6d8a5e25, 0xd8e4d056, 0x41506094, 0x50caa638, 0xc54588fb,
+    0x00000000 }, /* 10**-00000000000000000000000000000006610559687902485989519153080327710398284046829\
+                          64281219284648795274405791236311345825189210439715284847591212025023358304256 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754,
+    0x039098a5, 0x62dc92a6, 0xfefa30f4, 0xc5f335e0, 0x42c455c1, 0x8b83b682, 0xa938a5e8, 0x53d79422,
+    0x00000000,
+    0xad532de7, 0x9af86e53, 0x9f18a7de, 0x84d4a030, 0x20165f91, 0x5bddedc4, 0x4bc1afd5, 0x80b8d4a1,
+    0x3309f2f9, 0x686e0058, 0x798ccf52, 0xea07daa5, 0x2946be3e, 0x92964198, 0x9d602f1b, 0x0801d915,
+    0x7f45af2e, 0x64fb7097, 0x2784a888, 0x83cb995e, 0x859eb2bd, 0xdd19d420, 0x4e404153, 0x3763c485,
+    0x4aee7084, 0x7353d270, 0x65161fb9, 0x97b48f5a, 0xed548a93, 0xa9e47045, 0xc2446854, 0xda6ade1a,
+    0x19f087a3, 0x74245f51, 0xac7c7c1d, 0x45b52759, 0x8bb48f2c, 0xe5814e16, 0xa329e9be, 0x1c41e8ad,
+    0x58db89ae, 0x5d5551d9, 0x05a49f4a, 0xba19dc47, 0xb55986d9, 0x993799f1, 0xa23773e0, 0xfcc300f2,
+    0xbff6e849, 0xf4efb3d2, 0x54686df2, 0x876b6540, 0xae3f9376, 0x4dcb703e, 0x2deca8b6, 0x82cb6f37,
+    0xf31d0fb3, 0xed9e3dfa, 0xc2a2f1c4, 0x7909eacf, 0x04e8fb42, 0x2d5d1e59, 0x89a55152, 0x27b9b705,
+    0x6bbc5a55, 0x7d38a5ad, 0x7b328ed1, 0xa09291e7, 0xb15ee9c8, 0x43bd06a7, 0xbf804057, 0x14811eb4,
+    0xb63109b4, 0x86ef54da, 0x1f168ce8, 0x835c045b, 0x2f9b313e, 0xa0122538, 0x713730fd, 0xbb32af0c,
+    0x316ef988, 0xb4c714de, 0xe9622d07, 0xed82e5f0, 0x2f93c091, 0x9353db7d, 0x3ca68341, 0xa84da2d6,
+    0x791cdf49, 0xdc8efbec, 0x9b036ae6, 0xfc4a6a74, 0x2f929650, 0x4212a3b6, 0x3d49a49e, 0x2355bd78,
+    0xcc7742b1, 0x615f9dda, 0x8c5772ad, 0x41f871bb, 0xec368f59, 0xa59fbb65, 0x84e577a6, 0x26cd0aa4,
+    0xfe76b762, 0x2cded2db, 0x317111cf, 0xa6378d63, 0xbfd86355, 0x6c87642f, 0x5fc80107, 0x11f92485,
+    0xabe5b2a7, 0xd36dd66e, 0xc0f2e977, 0x45a684bc, 0x4a31d28a, 0xd751ac6f, 0xbea06123, 0x2966e66a,
+    0xb494e85e, 0x7d3c5171, 0x4b3f5b79, 0x891fb90d, 0xfa1e0966, 0x8b3f378b, 0x3c742421, 0xc6f731f5,
+    0x0155dba5, 0x3ad546e7, 0x7fc5b713, 0x6024193a, 0x09a9d67f, 0xb76dcd80, 0x42f9c68f, 0x8d61dc60,
+    0x4364ea85, 0x7189e5a3, 0x6f9b5ca6, 0xdd3e382b, 0x27d2d98e, 0x60477615, 0x01e0e64a, 0x78766fd9,
+    0x249c3b04, 0x73ad5da8, 0x999aa4c0, 0xdb1aba0d, 0xb19b8a83, 0x4556493e, 0x01ed4a40, 0xbf905656,
+    0xa46bd046, 0xa2282f1c, 0xe938cfd2, 0x07aaca22, 0x94ad1ef8, 0x9ed8770b, 0x83035c75, 0xd32db727,
+    0x4ab8985e, 0xc7b21c20, 0xadc358c0, 0x80d459ef, 0x8809eedf, 0xdd7c1d0d, 0x26f42b51, 0x1a2532c3,
+    0x8e408dce, 0x07c1ad67, 0xba50c422, 0xa873e0ed, 0xdcd850fe, 0xcdfc1c6b, 0xda62882b, 0xd393d371,
+    0xa94363f4, 0xb6503c03, 0x936b4111, 0xaeaa4fca, 0xff14b7c5, 0x1afd348f, 0xea223f4b, 0x1df05cc4,
+    0x26948971, 0x88e95d79, 0xa4d4cbc1, 0x1878fbe6, 0xd7fc0a49, 0x5dc51384, 0xca8cdb56, 0xe32162cc,
+    0x50b5709d, 0x04ac6565, 0xf7f2d5fc, 0x8eac5ad8, 0x148c8a01, 0xba1c8f8f, 0x8b53d8f1, 0xbecac8dc,
+    0x0d861348, 0xd2786888, 0x5a8968dc, 0xfc1f9423, 0x2e4016fa, 0x7ac6dc20, 0x23431e95, 0x7104234c,
+    0x756a3e4e, 0xac9b364d, 0xddf9ff8f, 0x62336f73, 0xb58363ce, 0x399d7ce9, 0x59e27c90, 0xa09800a1,
+    0xab57b637, 0x91e99755, 0xbb9b77d2, 0x9b592a1c, 0xad076bf0, 0xbd3da5e4, 0xd08505ff, 0x18c3ca33,
+    0x7aff42c8, 0x820452f7, 0x638897a2, 0x363aaf37, 0xf0ceff60, 0x16bdd7af, 0x7bf32fe8, 0x23a12dc6,
+    0xe59f05c3, 0xb6fe74f7, 0x5d84a825, 0x6865fe55, 0x4b51947f, 0xfec00775, 0x5e9ecd32, 0x5ee9d047,
+    0x73519d7a, 0x4fc623b9, 0x635fd805, 0x6737881a, 0x430ae042, 0x9290ca84, 0x8a5960f7, 0x2e2dc0c9,
+    0x81f694d1, 0x53d13399, 0xb4eaee8a, 0x0db61b5d, 0x70abcb3c, 0x5adf965b, 0x76df8e20, 0x5e564e04,
+    0x887aad96, 0x57a48804, 0xf5c1b0ca, 0x55a1c9af, 0xd974fb5a, 0xc81d2688, 0xbfeefa72, 0x62a99d45,
+    0x4867333d, 0x1f447d83, 0x13ad059d, 0xc2f8c743, 0xa41ba112, 0x1f7c99a7, 0x89861bc5, 0x2ff9e274,
+    0x8008f737, 0x6c3be083, 0x4ac60b1c, 0x9f222ce7, 0xbf0fcaee, 0x5a703aee, 0x299a1c3c, 0x5dc961a5,
+    0xca93c9b2, 0x2919b622, 0x12465be4, 0x2747ba91, 0xa3c6cc24, 0xd2bcf814, 0xfc2b0e51, 0xcda0c339,
+    0x5084e4c3, 0x166ed8b1, 0x5bb33503, 0x9b704a94, 0x236b4624, 0x65f5d057, 0xd49f07f6, 0x1868acff,
+    0x85b9e8d9, 0xf6e2eefe, 0xe2accbd0, 0x236088d2, 0x8023e6bd, 0x4534eb50, 0xf13d0d85, 0x5ff7bdea,
+    0x8fea0f65, 0xdbdfd858, 0x85ddb3fb, 0x9d4f51ac, 0xe8d9dea0, 0xff298dd6, 0xf07fa6a1, 0xbec9b580,
+    0x474aa280, 0x07800f33, 0x42d4c79e, 0x312261de, 0x0b036a0f, 0x509c3523, 0x6c424955, 0xd686dc37,
+    0xba24a295, 0xbafb5995, 0x06bab0ec, 0xf9bbfea6, 0xaec61b53, 0x49f289a1, 0x67fe82ec, 0xd9249534,
+    0x63360cdb, 0x1df9df1f, 0x91b29bc9, 0x095c75f4, 0x48132459, 0x85b1525e, 0x9a8b36f4, 0xf163056c,
+    0x0e50a12c, 0xab715a13, 0xe5ab7e75, 0x85d3e881, 0x6651d1b9, 0x1149c665, 0x6338921f, 0x4938119b,
+    0xcd260125, 0xd69424c4, 0x1cd21447, 0x019fcac3, 0x619e74e5, 0xb423708c, 0x82a95254, 0x04c64f9d,
+    0x92f3e649, 0xfb169cd2, 0xcc834226, 0x4b25d75a, 0x11f44c67, 0x1c310cbd, 0x7dd75839, 0x5dd38391,
+    0x44358f7c, 0x40b45642, 0xe7bbcd0f, 0x9b565041, 0x63f7d4e3, 0xa6ae1c97, 0xf7fa1f14, 0xcb49177a,
+    0x1681e7eb, 0x57df0284, 0x1714153f, 0x8c17c5c0, 0xa9b6447d, 0xc7a7e063, 0x4d9a480b, 0xe9d36f74,
+    0xd41cf2d4, 0xbba2d0a2, 0x66b5bf12, 0xfcf28e45, 0x62ab9f8c, 0x84cf71f8, 0xb2b694ed, 0xa347a434,
+    0xcbe40ef5, 0xe00c197c, 0xe893be30, 0xbb86a9f1, 0xf82043ae, 0xda0580d1, 0x85d220f3, 0xaeab0175,
+    0x9d0e5034, 0xf79cec1d, 0x11ac7ba3, 0xdca9802d, 0x0d1451fd, 0x440e0fbb, 0x163eae96, 0x8d9ed284,
+    0x7684f63e, 0xf03e2598, 0x7d3cbba7, 0xe5587c98, 0x76437439, 0x46f6fb69, 0x74f761a4, 0xab211edb,
+    0xd77a02de, 0xb1cefc51, 0x41d18ae1, 0x5290a26d, 0xf0a132e1, 0x2448097b, 0xbeccb3e9, 0xe17d7407,
+    0x4d8ea51a, 0x89bebbb7, 0x944a498d, 0x5e44ad70, 0x91c0c09c, 0x4209a9b6, 0xfd49757c, 0x7b2f6614,
+    0xe2a79580, 0x331f51ec, 0x95432732, 0x42bb474d, 0xa87f333f, 0x2c3c4c6a, 0xa9fb0451, 0x69c1581e,
+    0x11800765, 0x9d0abb86, 0xc278416f, 0xd9f0c1be, 0x984c6608, 0x68907533, 0xc28a336f, 0x4ce3ddd6,
+    0xf75a6878, 0xce9e594a, 0xaf781857, 0x7fd03300, 0x862cc2fe, 0xf2fb7a90, 0x6a211a7a, 0x8aaf2a92,
+    0xbd4b1b39, 0x5e00f385, 0x0535b1bd, 0x79ad98c0, 0xdd4fa21d, 0xedc8c6b7, 0x7fcfca64, 0xb86d4c23,
+    0xbc97e172, 0x2120c049, 0x29a36ca7, 0xdaa8d48f, 0xd2f942a8, 0xe598de6b, 0xfc89df1b, 0xb834fd60,
+    0x6b2e3bb2, 0x313e94ba, 0x86dc339e, 0x6eb09138, 0xce3444d4, 0xb9d5fedf, 0x604ac360, 0xd32cf961,
+    0x5a2a0f79, 0x840d27dc, 0xded10c17, 0x2baccaa7, 0xa8cff4f9, 0x4cd8dbe8, 0x2f25517d, 0xcfb1e4d6,
+    0x4222dc85, 0xa91c49ff, 0x679d5a04, 0xd5d983c1, 0x11980ed3, 0x4c4f32c9, 0x1f06c769, 0x3b34f0bf,
+    0xafbb7a9c, 0x394a085b, 0xbf6e1e50, 0xa8cc8298, 0xffb2a043, 0x283cc9ae, 0xb635774b, 0x30a93f51,
+    0x17b180c9, 0x335f22bf, 0x2c0c1fbf, 0x86aed494, 0x53c7b4d2, 0x48d9670e, 0x62a81cb3, 0x8cb46d99,
+    0xb4303eae, 0x8fa02d3e, 0x1fa09bf5, 0xef46ae09, 0x6dba9ff4, 0xa8a2b402, 0x3a09c85a, 0x0301b2d3,
+    0x023e30ec, 0x34d6a8cc, 0xd90951e1, 0x467166c8, 0x0336a0c4, 0xa419b2d2, 0x3bfc1272, 0x1ab75248,
+    0x4bfee388, 0xccd16071, 0x66e6f3db, 0xe0ec70f9, 0x8fa8b5c0, 0x3faa3d92, 0x1d5b5d1e, 0xc0effb6f,
+    0xb1f3cff5, 0x01c08609, 0xa648fcc6, 0x1134e094, 0x1d97a003, 0xe0bba207, 0x67adc290, 0x9bab744f,
+    0x30c58162, 0x1db82e87, 0xa35771c0, 0x577140e1, 0x14e0b1c6, 0x352628a2, 0xb516b6af, 0xabe8ed16,
+    0xf9628fd0, 0x51d3f597, 0xa38c653c, 0x4ea70ade, 0xe6e2f702, 0x5afa93b6, 0x988b962d, 0x0627aadb,
+    0x0d921a15, 0x4a7bc0de, 0x5d5f64db, 0x0f0f33c6, 0x5f2fe24c, 0xae9f0576, 0x4358f7ba, 0x311d81fc,
+    0x4a4212d2, 0xddb14047, 0x8d02b659, 0x21ad906a, 0x1720230e, 0x83685d75, 0x1d1d1398, 0x0a16e26d,
+    0x907ecf1f, 0x042acf47, 0xa69387c0, 0x1074d153, 0x85fca208, 0x7ecd02e8, 0x68adf964, 0x838b18ca,
+    0x3afa6df8, 0x4d36a773, 0x840d1463, 0x974f7756, 0x06f1e8ba, 0xd90650fd, 0x9b5c9ecb, 0x27b80e2a,
+    0xb7837ca0, 0xe6881b37, 0x72376d1f, 0xf35473ee, 0x5422e4c3, 0x3702125f, 0x068e461f, 0xa4eeb29a,
+    0x9d982226, 0x7fae9d8c, 0x4ea5dea8, 0x9647183e, 0x5da8ece4, 0xf4f85d27, 0x0be86fa0, 0x3d376682,
+    0x89237ea8, 0xad1c56fc, 0xc1e8fb7f, 0xc27560aa, 0xc3a32b03, 0xd43ed952, 0x0fcffc09, 0xa873078f,
+    0xeefcc2e5, 0x2c7d4a4c, 0xac4b922c, 0x723a74d9, 0x1876b210, 0xaa862353, 0x356fab28, 0x0051d346,
+    0x775cff7f, 0x8a74e106, 0x4fa1ac40, 0xa2bf01e7, 0x90f16580, 0x036a1b72, 0x673f65eb, 0x8057cdae,
+    0x1f966e56, 0xc9ab2073, 0x2e6414d4, 0x2849336c, 0xe9077790, 0x344a14da, 0xfbfff2ea, 0x0f69cd11,
+    0xbb88f2d3, 0x9d833f12, 0x6ce83e31, 0x146e7b31, 0x51845c4a, 0x7387a488, 0x03858c35, 0x39311fd4,
+    0x81f523a7, 0x6371b036, 0x58c5755f, 0xe368e898, 0x0236a392, 0x9360c5e0, 0xc45baf0c, 0xfe58fc6a,
+    0x3583c39c, 0xc4cd785c, 0x7287448d, 0xf79c20ee, 0x76dfb730, 0xe4a20436, 0xafe7705c, 0xda3ca7a1,
+    0x9a541d38, 0xdb1d0c6d, 0xfe412992, 0xf700333c, 0x60d26b42, 0xe5a639f3, 0xcfef3390, 0xa9b6856a,
+    0x2f7f763d, 0x7e4459ca, 0x53183894, 0x3325f0aa, 0x81c4dbdb, 0x49ce4082, 0xf16a64c6, 0x5b76dd9d,
+    0x3878cb66, 0x2f8e7d2a, 0x1a807983, 0xf3c3243d, 0x22c411ad, 0xf5179747, 0xbab5fc89, 0x6da78993,
+    0x00d9b07c, 0xdfba0391, 0x5c5bf83b, 0xd07071c3, 0x0fb69c6e, 0x404ce7e7, 0x7e0ce5dd, 0xfee60bf3,
+    0x1a545eca, 0x7e1bdac8, 0xfddf8dfc, 0xb24f9d47, 0x1e52f6f5, 0x8ad060c6, 0x946c2490, 0x014a756a,
+    0xa0e582b6, 0x1ed77459, 0xe6df8238, 0x24c5aff0, 0xdc81bd41, 0x2a0838c7, 0x12a049c3, 0x022c95c9,
+    0xca517a7b, 0x8953e6fe, 0xb79cdf47, 0x4c714deb, 0x284af424, 0x195cecda, 0x4dfd2abc, 0x23a18538,
+    0xcb183ef3, 0x08508058, 0x8a6e0868, 0x423d8660, 0xe724d916, 0xd678dffe, 0xb0cc246b, 0x9c3b031e,
+    0xb830b73d, 0x0bcc9765, 0x93f0b09e, 0x607df9e4, 0x9e11d4b8, 0x4002ddde, 0xde5060be, 0x2421235f,
+    0xa1d31724, 0xe7fb828e, 0x5373c151, 0x8eefe9de, 0xe52c5be2, 0x7be50536, 0x376f1ca5, 0x444262e6,
+    0x49c4c5bb, 0x9aee161d, 0x4a9656f5, 0x12479eb5, 0x3452bcf1, 0x75d4decc, 0x745b3e2a, 0x0e07bf93,
+    0x0b37abaf, 0x90fdcd44, 0xe406ad48, 0x9aa6048f, 0xe3414898, 0x1954d892, 0x71bf3c29, 0x6d29b86b,
+    0x061e2095, 0x9822beab, 0x68ac769c, 0x86a0857a, 0xe86a47aa, 0x05437c16, 0x42751dcd, 0x8b12f064,
+    0x20cca084, 0x49ac9d7d, 0x3609d54d, 0xecf360b5, 0x08930836, 0xb4314c95, 0x8ba93a74, 0x5a99894a,
+    0x51ee7731, 0xb5500a24, 0xd509f20d, 0xbc6118ed, 0xe3afe708, 0xfe8625ea, 0x45ec94bf, 0xf26f1cc7,
+    0x67021d34, 0x640cd524, 0xbf8404e8, 0x81a0ab00, 0xa96bac36, 0x6bc92bdf, 0x9ae0b254, 0x5b8f0d7f,
+    0x774ee144, 0x05f12690, 0x13f809cc, 0x6bea4de6, 0x812f0f9b, 0x2ac8542d, 0x5d4b284e, 0x5887723e,
+    0x12c8b4bf, 0x4ae7632a, 0xa96a0c7e, 0x11aeb903, 0xc9b317fe, 0x66ad36c3, 0xc577184d, 0xe2c91ddb,
+    0xbd66e29e, 0xd8484c3d, 0x7cb97cd9, 0x086ef4fb, 0x3b0bb4d3, 0xc25d30d8, 0x1b54377c, 0xe08ea2f7,
+    0x1342b807, 0x8202330a, 0xfa199370, 0xa667c2d2, 0xd82c1445, 0x4ca9af2b, 0x4c429026, 0x13c1e451,
+    0xba846620, 0x8c4bc1f6, 0xe1f6584f, 0x5080f6bb, 0xe954ee14, 0x95861ee0, 0xa9d83c06, 0xe4e6175a,
+    0xfc2673c8, 0x70ef0616, 0x1845aaa0, 0xefa3c8ba, 0xccf3d02b, 0xeaa92eeb, 0xc453feaf, 0x5571ee32,
+    0xc7c22923, 0xdc5613da, 0xce72568b, 0xe715bcb0, 0xbd71c577, 0xa2d1948d, 0x7e61a428, 0xc0c576a2,
+    0x6462f389, 0xd32ecf17, 0x325862b2, 0x01caf4ff, 0x9ffe65fa, 0x6484cac1, 0x87693e0c, 0x5b30ad06,
+    0xd6649eba, 0xd7b91d27, 0x74bfc3ce, 0xd67ae33c, 0x531b3f92, 0xd3e45904, 0x78b85924, 0x5e1d92e0,
+    0x5b037218, 0x0eaa177c, 0x19b65052, 0xcaf90520, 0x79783fae, 0x035f6bd4, 0x860e40b7, 0x0f9a575b,
+    0x77d4bc01, 0xfe058980, 0x45065e3e, 0x9b5e7149, 0x29952f7b, 0xa9fdf112, 0x9462e5e7, 0x90e48a07,
+    0x94eb0344, 0x48d5773c, 0xacf88506, 0x56cd20c6, 0xd8256167, 0xa7bd3364, 0xd0891ffc, 0x8eb948fa,
+    0x48397058, 0x8698cbd2, 0xf9145bc2, 0xd4f5e908, 0x1642812d, 0x8f842387, 0xfece50ad, 0xa5cb36b0,
+    0xcb4b87a4, 0x5592f220, 0xff57233b, 0xad1b8de3, 0x0dc417ef, 0x01a799ea, 0x89f853ae, 0xe6e33a48,
+    0xfe18206a, 0x6ab6b803, 0x0e67dc69, 0x964430fa, 0x720c0c58, 0x3e20310e, 0xa09a4cb3, 0x4a309d1e,
+    0x771e2c23, 0xc2e42558, 0x0b6cdb22, 0x80ebdcc1, 0x2829dc13, 0xad213ad2, 0xda131ffc, 0x9d47ffd9,
+    0xe4f10ced, 0xc3adf41c, 0x755b1615, 0x69954614, 0xf45164c9, 0x86b499ca, 0xcb2644f3, 0x3ccec531,
+    0xf90c7200, 0x2e7d36c7, 0xbd72d5d5, 0x324e2279, 0x2a665358, 0xd15023da, 0x79e99fe2, 0xf2731f4d,
+    0xdbb060f1, 0xca5263db, 0x34a36beb, 0xdea89128, 0x3de128dd, 0xf692edbb, 0x70cead85, 0xe87a6187,
+    0xb6172d9d, 0xca60763f, 0x64d85e0d, 0xdb469137, 0x75bc398d, 0x7a0981fe, 0xbd21658d, 0xb4ff5681,
+    0x05e1648a, 0xf110da0c, 0x80aa1395, 0x4eeb1a9d, 0xa4731bb2, 0x9679c2d3, 0x68e9afde, 0xdd2dca2c,
+    0x17b7b406, 0xa8597093, 0x92686998, 0x49e2eb6a, 0x709b2bba, 0x8c61dbbc, 0x4e62dec2, 0x7b0d0159,
+    0xaf19aa98, 0x2b774c26, 0x56f248a6, 0x185578cf, 0x2af1be4e, 0xdb89547c, 0x8da00daf, 0xe3a08d66,
+    0x9659e4b8, 0x03c94025, 0x2b724a5a, 0x0de00955, 0x0f2b6fd5, 0x27d93d5d, 0x7be5db22, 0x66331508,
+    0x33d9ae94, 0xf9b4473e, 0xd7820cc0, 0xce2d4318, 0x8979c352, 0xdc8c2f51, 0x410ee9bf, 0xe7499e6d,
+    0x8d89248f, 0x8c3a896c, 0x2283a4c7, 0x12cd0d0c, 0x9af94562, 0x8c952ac9, 0xbbf5151a, 0x81430c3e,
+    0xc77f0490, 0x2aa1bf35, 0x3d07949d, 0x1fa9a019, 0x16c7f7f1, 0x5574f2a1, 0x6f83829c, 0x7757fc0c,
+    0x4a4ece98, 0x7655b3c1, 0xbba926b8, 0x07da4e33, 0x8d304171, 0x67097a09, 0xf0c342b5, 0xce79db43,
+    0x00000000 }, /* 10**-00000000000000000000000000000003305279843951242994759576540163855199142023414\
+                          82140609642324397637202895618155672912594605219857642423795606012511679152128 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa,
+    0x01c84c52, 0xb16e4953, 0x7f7d187a, 0x62f99af0, 0x21622ae0, 0xc5c1db41, 0x549c52f4, 0x29ebca10,
+    0x00000000,
+    0xd2a50974, 0x10762728, 0x2d5bf8dc, 0x0ac01d78, 0x85f19262, 0xb37480b2, 0x78185f9e, 0xc7872b83,
+    0x63b1f42d, 0xce247781, 0x783912d0, 0x2c432f0c, 0x8d1f54d0, 0x5e1d6d53, 0x5cd68a00, 0x82faa92a,
+    0x2624fb55, 0x453ed48d, 0x841a1428, 0x35d94cf7, 0x65ae206c, 0x1307738b, 0x0b4dff6b, 0x0addd06a,
+    0x02f6c579, 0x237a5e0b, 0x6bdd4fa2, 0x868f74cd, 0xe0d0cc25, 0x9c001b23, 0xd5f1bdc3, 0x3df83728,
+    0x59cd2fd2, 0xe4fe4180, 0xe48e752a, 0x2ecb8bf1, 0x161640a0, 0x2d549a3a, 0x26d713b9, 0x04701256,
+    0x0fc078fa, 0xe161e029, 0x238cea5a, 0xf54faab5, 0x2ad9f2f5, 0xfc463b08, 0x1aa22087, 0xaf7f670d,
+    0xa406d187, 0xf968ad78, 0xbd7804bb, 0x8c078269, 0xfefb7f79, 0x2e82f0fa, 0xebaf647e, 0x4e467642,
+    0x10759494, 0x5d792089, 0xfdcff041, 0xc1d1fab8, 0xbe3a3ef2, 0x4fcfd51f, 0x126f7f1a, 0xcc606855,
+    0x4cdcf957, 0x3adbb7ef, 0x0e41e4aa, 0x14e98575, 0xc83a822c, 0xa68351a1, 0xd0d27bae, 0x50c2f5ae,
+    0xcbe89b61, 0x97083ae1, 0x34030f8f, 0xd7c37096, 0x461242c4, 0x15102ac6, 0x984fccaa, 0x339e6f41,
+    0xd91eb791, 0xeb5377db, 0xcad37801, 0x88831c19, 0x408f54a0, 0xb69d466c, 0x4019c993, 0x21e97e9d,
+    0xd8b89424, 0x71b155f7, 0x874d58dc, 0x94ce1558, 0x36879d36, 0x109a06b4, 0xbf58b05d, 0x2868ad64,
+    0x8bf5d267, 0x753fc84c, 0x57747ca9, 0x74e3d93c, 0xc83a0096, 0xcb556bf6, 0x12bce2d1, 0xfc68b816,
+    0xae19ce58, 0x4e0900b8, 0x06968569, 0x458591c8, 0xbf27ea9d, 0xdbcb4745, 0x67d8ccfe, 0xde996687,
+    0xddf93d1b, 0x71167453, 0x4c136f3d, 0x4e707be9, 0x44e7e4de, 0xe8b31482, 0x45ff97dd, 0x037e86f8,
+    0x29771c82, 0xe892581c, 0xa1d54cae, 0xe8df708d, 0xbe763981, 0xe8882970, 0x8a7e96b0, 0xbe590b81,
+    0x6c2da9ae, 0x4acf98eb, 0x2afb7946, 0x20cb6a24, 0xee83b5b0, 0x3393b5fc, 0xeab7d442, 0xf8321175,
+    0x50b3664c, 0xe8746366, 0x2ef2b764, 0x6644513f, 0x96b6b6b8, 0x55a1b95d, 0x0264bdab, 0x18adf1c0,
+    0xa0e9ba16, 0x806e6bae, 0x8a895480, 0x3d250f32, 0xf1aba93d, 0x293539be, 0x7b4c2d34, 0x8e88ad29,
+    0xf0ed294b, 0x6396f5b9, 0x12c105e3, 0x69b6a0f7, 0x50787dbf, 0xe1ed5213, 0xe1282fbd, 0x720496c8,
+    0x7f5d96d1, 0x2305f3e5, 0xcf14f87c, 0x51742167, 0x978d836c, 0xa2914acd, 0xcc35194a, 0xeeab129e,
+    0x70d60c65, 0x57742af7, 0xfa0b83cd, 0xc96ea482, 0xa00c10be, 0xcb6479c7, 0x6992250f, 0x74329c75,
+    0x91a6dc11, 0x9e6e9e67, 0x69dc74ed, 0xdc813e9f, 0xe4e92603, 0x05fdf592, 0xf9573900, 0x1289715a,
+    0x58c698a1, 0x3efd708b, 0x3d545ada, 0xe7da3c1d, 0x3d146898, 0xe8c25ad9, 0x68baee24, 0x4648e11b,
+    0xe2391cdc, 0x4beab9db, 0xf9aee165, 0xae5c86b9, 0x56f97e99, 0x990f5829, 0x34eb6e82, 0x6f5a8ac9,
+    0xd7037c50, 0x26f00980, 0xb5093c03, 0xc8e4b09d, 0x6b213085, 0x04f30dfd, 0x47c1c37f, 0x0b75c362,
+    0x132faf48, 0xd0b568bb, 0x8e70f92f, 0xa4ce1368, 0xc487a7b7, 0x6fff7022, 0xc8dff507, 0x63d93f32,
+    0xddea9cbc, 0xcd2b9329, 0x6ac62c9d, 0xc359e54e, 0x4c46877b, 0x533cd64d, 0x195baaec, 0x6aa1f9a7,
+    0xd69ebea2, 0x02ff6512, 0xb3f77375, 0x00faf184, 0x9d5cd233, 0x06373272, 0xe4842125, 0x0a88eac2,
+    0x63d8032a, 0x46bfeab3, 0xc5829ffc, 0xca3215d8, 0x4df4955d, 0x2dfd4dcc, 0xf470d29d, 0x3c3ded1f,
+    0x2eee70f7, 0x2e9f636a, 0xc18d9859, 0xb2d94df6, 0xac263d62, 0x3689473a, 0xc56217ac, 0x4fdd5a0a,
+    0x5c0fa192, 0xb18fbc33, 0x291e98e4, 0x89cbd82f, 0x164a5c7b, 0xe7d8f6de, 0x154089d8, 0x9402e93f,
+    0x543537b6, 0x7b4c3d8d, 0x935162d6, 0xe64db312, 0xe7a4a2c1, 0xe0c3cc53, 0x13e30b87, 0xcd10d677,
+    0x0649277c, 0x7d06879f, 0xbb49dafc, 0x18265128, 0x09636bee, 0x9acd6400, 0x0a5893e6, 0x0a2ece46,
+    0xb1927a08, 0xe7cbcaca, 0x091a9bf2, 0xf74f9528, 0xe4e322e5, 0xeb24bb67, 0xfa82a672, 0xe2b3b2b4,
+    0xec8d1e83, 0xc5d92979, 0x5234f939, 0x32d10d78, 0x1d7a97a3, 0x853b0107, 0xa2b67998, 0xf5b40a75,
+    0xdcaf83e9, 0x2a8d43b3, 0xc32b88cf, 0xb81ffab0, 0x7634338d, 0x4bc5257e, 0x9dafdfbc, 0xa48af3e5,
+    0xe2af0e39, 0x0972699f, 0x10fc6a03, 0x72668260, 0x8f603afb, 0x8413575f, 0xf9099040, 0x14754541,
+    0x1a461d2e, 0x97928a9a, 0x278303b1, 0xd7b5a70e, 0xd76cbf9a, 0x98a6f79c, 0xa05b552d, 0x5b8e73b6,
+    0xf258fedb, 0xb3a3550e, 0x0b3386a2, 0xb73816a5, 0x1473baef, 0xdba7517c, 0x50f3625f, 0xa81ee2fe,
+    0xa2871725, 0x9f4d7c45, 0x70100297, 0xebed0de0, 0xd08f8f6c, 0x819e8a2f, 0x69a3fe4e, 0x6e99fe70,
+    0x71a62592, 0x4de0f70b, 0xf059b2a3, 0x1464bba6, 0xcb71ba4c, 0xaed11f70, 0x6e5cdee8, 0xc2dae99a,
+    0xb9f2f6e9, 0x56a84457, 0x024156e0, 0xdbdd0d07, 0x14617731, 0x1b80b9c4, 0x9db9523c, 0xcd3554f4,
+    0x01af34a2, 0x2d0fb280, 0x3b4300cc, 0x64f1ce87, 0xbc96b37a, 0x248168ce, 0xf232d7fd, 0x9e0b14c3,
+    0xafafcccf, 0x24b592dd, 0x3aebf13f, 0x10adf127, 0xddebf9b5, 0xa075a7db, 0xf16dff82, 0x9a768559,
+    0x3d94fc92, 0xfa05c0dc, 0x5565261a, 0x9c32622b, 0x848e8185, 0x473bf9ba, 0xed5b3e85, 0xc1d2f5cf,
+    0x4ad76c5c, 0xe592f3c2, 0x199b6893, 0xd5d7231c, 0xb1f71ec2, 0xcfe25b17, 0xfbb01c9a, 0x4a5e085c,
+    0x9c49a685, 0x822f44cd, 0x1afe6adf, 0xca712cf5, 0x74de0f8c, 0x77a07d76, 0xa1927d9e, 0x00a4647b,
+    0xb4d2510a, 0x57688992, 0x458cab52, 0x6bcf47a8, 0xe5bba0b2, 0xda893f2a, 0xd14f8d64, 0x016a87cf,
+    0x84231124, 0x9f11b6b8, 0x7199b73a, 0x7d26f9dc, 0x26f09cce, 0x4bb3c5d8, 0x0c0ba454, 0xa4d5be40,
+    0xb0b7c35d, 0x3abd0daa, 0xe261cf50, 0xd1b49329, 0x6b2c64c1, 0x43f11339, 0x0fc0e3c5, 0x0a1d41c0,
+    0x20a85684, 0x8b7aae1c, 0x397b6a23, 0xa019649f, 0x4aeaf425, 0xc580b83b, 0x0b31b88b, 0x502637b0,
+    0x84e780e7, 0xfefa1101, 0xd9b80164, 0x65ccd045, 0xf12a2ff3, 0xb77ad7c8, 0x54a7d6a6, 0x72dd8447,
+    0x262ba292, 0x557458a6, 0x4e337b33, 0xfcbe53ec, 0x29fbe97a, 0xa4b7357e, 0xd48ebedb, 0x40fd2a4c,
+    0x637d6429, 0xd80d0084, 0x1703f04f, 0xf0711800, 0xce23b2d1, 0x760b5a09, 0xfd6ef1e4, 0x9e696ad6,
+    0x42633b9d, 0x3e03b9df, 0xf8ef3ee1, 0x51e6b243, 0x645dce3d, 0x9ab93c35, 0xbc02e3eb, 0xec74c03c,
+    0x68a9776e, 0xfac78128, 0xc029a981, 0x82ab30f5, 0xc8e2bffb, 0xcc0cab0f, 0x3958fdec, 0x977b003a,
+    0xca14d709, 0xa645d50d, 0xc62fb64c, 0x13d4d6eb, 0x4eff7ce6, 0x229bb6e4, 0x1581d1dd, 0xb6e19f18,
+    0xa0e4304d, 0x942eaeec, 0xdbe0b378, 0x41565830, 0x8c84dc42, 0x475f59ba, 0xd0038099, 0x996c600c,
+    0x86b0dddb, 0x83eb0cf9, 0x99242838, 0xe2d44368, 0xd3e450dd, 0xb9ebc43a, 0x60054db5, 0xa450e54f,
+    0xaeaac667, 0x285117cf, 0xbf9b4bdb, 0xcc966944, 0x722a07f1, 0xdde4ed33, 0xe26d26c6, 0x3ee30d6d,
+    0x851fbf0e, 0x8cfb9a01, 0x36d54640, 0x7dbdda40, 0xcfc15109, 0xe209869a, 0x6dbb2b16, 0xfa61c46b,
+    0xff55a836, 0x49311457, 0xa0955fd5, 0xeb95b1ae, 0xc31095d2, 0x7ec6ea14, 0xf5386301, 0x2de4d7fc,
+    0x53949515, 0x89ad38db, 0x30f0432c, 0xe3c3c390, 0x30eb2095, 0xc0563fcb, 0x8dbb53fe, 0xfeaf871e,
+    0x6384e6eb, 0x862c2384, 0xca779e26, 0xef7ba2bc, 0x5803da41, 0x403ef96e, 0xfac6ad71, 0xc35c861b,
+    0x8b92ab96, 0x9cbc6eef, 0xc957c7c1, 0x7393e1d9, 0x50c4ad95, 0x360c80b3, 0x3b410274, 0xf92653dd,
+    0x5bbd69a2, 0x6b4e4995, 0x11ef32d0, 0xe4b16255, 0xc8260009, 0xdc774739, 0x8ac24726, 0x5865925e,
+    0x2d88bab7, 0x9e2f6328, 0xbb4a5489, 0xb66a7a1b, 0xe87d4e22, 0xf4d4f3f5, 0x5dd96a2c, 0x55539aca,
+    0x4c7ef377, 0x872080bf, 0x40708c28, 0xc6b949fb, 0x539b1dc0, 0xf6ecbb2f, 0xc29f74b6, 0x4b53a709,
+    0xc12df9bc, 0xd5850f87, 0xfe6ebe02, 0xd2bb7c34, 0xd7889f91, 0xf1653091, 0x53041ccf, 0xf4ae3f7d,
+    0x737b511c, 0xe6ffce1a, 0x1390a10c, 0xb5465445, 0xd07a8dee, 0x795348b2, 0xb93ada82, 0x2592591b,
+    0x4a87e6f0, 0xe09742ca, 0x6cfcb122, 0x030426c0, 0x2dade24b, 0x3d39b581, 0xdcc76bcd, 0x22735c33,
+    0x30a5af69, 0x533fb6d9, 0xbad8f395, 0x5b017b7c, 0xd5c341df, 0x3e53e218, 0xefb3e56f, 0x148136d1,
+    0xb5f3c33b, 0x0f791e91, 0x7b1074e1, 0xde87c929, 0x5116327a, 0x1c2662ed, 0xfa8735cb, 0x7971a565,
+    0xc7f37cf5, 0x4db4e2a2, 0xb23eb0c9, 0x73785cf4, 0xdad151b8, 0xadfaf37c, 0x39f48f88, 0x3ecadf5f,
+    0x66bcda05, 0xb2dd3125, 0xc3e2e109, 0x14f64d45, 0x23e4f1ab, 0xb6b22113, 0xfd9d9585, 0xe855f1e3,
+    0xd906c6c8, 0x5ed1f9ff, 0x7aa1c54c, 0x60dc64e1, 0xccbe40c2, 0x7479ec44, 0x74be5308, 0x9ceba177,
+    0xc475c144, 0x999c7200, 0xff801e92, 0xe966cb68, 0xe1d0b85d, 0xf48ea704, 0x94b5b821, 0x2e898640,
+    0xd31259bb, 0x001901b8, 0x368dff1d, 0xbbcefcec, 0x529a19bf, 0xafcccc71, 0xbda529fe, 0xdab0cd30,
+    0x5c903a43, 0x7323b38f, 0x21fc1a58, 0x2b076d93, 0xd3cc80e9, 0x5a5cc5e4, 0x2d2057c1, 0x0d96354d,
+    0x8d3db408, 0x7dd2192e, 0x19cb5d5a, 0x3bc3f533, 0xec009a98, 0x0192aa06, 0xf4f15f59, 0x15c70503,
+    0xd8a79541, 0x982fd5f2, 0x33d3a71e, 0xd2fe7a77, 0x8696690f, 0x3792dd8c, 0xadddad13, 0x3c7e01f7,
+    0xda14eeb9, 0xb221be07, 0x57708e15, 0xfb250d82, 0xf55bf1d3, 0x8a379369, 0x71b47ef1, 0x0a061f8a,
+    0xd936908f, 0x6eb71348, 0xccf78fb4, 0x011e52c9, 0x213878a9, 0xbc95b0cf, 0x77fa0785, 0xeda6a608,
+    0xba2637fc, 0x566dfd95, 0x558e6c5f, 0xf3500fac, 0x19332c15, 0xf79fd7ad, 0x548bc850, 0xa5390090,
+    0x4c02237e, 0xb84f7baf, 0x33092594, 0x6d6a4e84, 0xf34d8611, 0x7098e9f5, 0xad477147, 0xf6ea130f,
+    0xcc843e54, 0xb6c9a6a2, 0x4eb676f1, 0x2b783bc5, 0x90062584, 0x87c12923, 0xbac6f8b6, 0xab4170e8,
+    0x88b5ba8f, 0xb0c62d61, 0xcd988d6a, 0xe7c3ac16, 0xc1dc92ff, 0xa2d65462, 0x89a603dd, 0xac31753e,
+    0x9e2c3f13, 0x132bc85c, 0xb0b26a64, 0xb1ef0e50, 0xd7440e44, 0x74a1a884, 0x47c466ae, 0x771ba6fe,
+    0x59bb12c5, 0xd7d309d3, 0x97c79a34, 0xf10c3ab2, 0x88513c67, 0x0d1af6e9, 0x818b2728, 0x85b9893c,
+    0x361788cf, 0x2002c1ca, 0x4f9762f1, 0xfc0486d6, 0xa3d4821d, 0x2174fd7b, 0x21e173fd, 0x48273ee9,
+    0x2ddec3e8, 0x75fcef70, 0x31b2bc16, 0x38986e41, 0x5ee78a11, 0x8b66807e, 0x510ae2f9, 0x168eb551,
+    0xec051f7f, 0xf1b8796f, 0xed05fce7, 0x45a82936, 0x8db3481e, 0x0c30c6ad, 0x6b21333a, 0x9ebacbd1,
+    0x05a4434a, 0xfbed46c4, 0x912dbcd6, 0xf5113050, 0x3edb921d, 0x3dcc06f2, 0x3d07d3e0, 0x7d90e766,
+    0x0326e4e2, 0x41f1dc31, 0xa7958c15, 0xbf93913a, 0x6a9d3a2c, 0x246c7466, 0x489825c5, 0x05fc9c6f,
+    0x25bfcd78, 0xa0e4d074, 0x1a408748, 0x461732d8, 0x33278a12, 0x23ed1c78, 0xbb1bc9f4, 0xf7104851,
+    0x37859da8, 0x1948074d, 0xe57d0e27, 0x0e2f6279, 0xdb6a5296, 0x171bff57, 0xca168df8, 0xf5155951,
+    0x4b9adec3, 0xab98a6ba, 0x82b07c18, 0x3931b3ca, 0x87c269ca, 0x10151e81, 0x42a0d58a, 0x52976185,
+    0xb90b5f99, 0xb5ee89a8, 0x9ad8e07a, 0x995092ac, 0x14ded78c, 0xe6fd1dff, 0x398831c7, 0x902e850c,
+    0xa7311822, 0xe064a088, 0x68ed5e1c, 0xab94248f, 0x25f6a1e7, 0x92a02bc1, 0xc1b2fd88, 0x62131166,
+    0xf8addb6a, 0x8847285d, 0x4a74f0cf, 0xc7da72f3, 0xaadd7938, 0x3d2c9fe4, 0x442fa3d4, 0x5c27a3f2,
+    0x07efbee2, 0xfe59cec1, 0xe24ccdd1, 0x99e82d30, 0xf45c7b0a, 0xd9f6e0d9, 0x0c0b7888, 0x725dfb47,
+    0x585d1700, 0xccaf26a0, 0x1decb6d0, 0x13e2a9be, 0x064e4362, 0x268e59de, 0x93cb72af, 0xa01280a3,
+    0xa28b2919, 0xcdebf221, 0x276792a4, 0x1cc7c08f, 0x8e888218, 0x6914b5db, 0xf81af0b8, 0x40990e8e,
+    0x1fba8cdb, 0x9592bd66, 0x1543eac3, 0x9bf129df, 0xf7564bfb, 0xf2648a0b, 0xb445c83c, 0x75649bbe,
+    0x96a13fdb, 0xd98469fa, 0xc9aaa18c, 0x81794950, 0xdeab03ea, 0xb9d549d6, 0xadc405a8, 0x1b169b83,
+    0x601d4f6b, 0xa81cb0ce, 0xe85fa46d, 0xcf9a5bc7, 0xd1aa0958, 0x80c8353b, 0x4f27226a, 0x6d8f496e,
+    0xc4940b11, 0x9a368628, 0x479c070c, 0x61e5001c, 0x09dac3c1, 0x6eb1fbe4, 0xf3225222, 0x4d6a7a6e,
+    0x0e6e90cf, 0x2e3cef49, 0x0ab9c35d, 0x2cda351d, 0x6425c3c2, 0xbbacb3ab, 0xf0159de7, 0x7dff18c9,
+    0x1117bc65, 0x484cb4aa, 0x08289d8f, 0x56b0a155, 0x75644fb7, 0xcbb451b9, 0x246f74a8, 0x585c57d7,
+    0x63c89044, 0x26714306, 0x761fe80f, 0x1c1435ec, 0xb990ba03, 0x354cf377, 0x21a5b0a8, 0xa7b9586e,
+    0xb3b5a7b6, 0xf1f18721, 0xbfff2176, 0x9d693d84, 0x73db3a6b, 0x1dcd1e16, 0x5468b79e, 0x939b6852,
+    0xf18beab0, 0x5739326b, 0x939791e8, 0xa7d03d1c, 0x798300d4, 0xe5799044, 0xf6c1937c, 0x0c859092,
+    0x3444b261, 0xb02c80dc, 0x774dd43f, 0x0cbbe763, 0x6899a766, 0xca6761a9, 0x249c7e8a, 0x5c033724,
+    0x172d6b92, 0x880b5ee9, 0x2075bd89, 0x7608a0b7, 0xc604c0b6, 0x5567770a, 0x29abfd00, 0x706cea17,
+    0xd7c4cb56, 0x99eb7a37, 0xf1a3e1a1, 0xd3c2ef71, 0xeb802e53, 0x4ff9ed0c, 0x132b55dc, 0x94349f9c,
+    0xec06ee59, 0x16d69d99, 0x0d98d838, 0xc3e19de6, 0xe492ce5f, 0x58221f0f, 0x7a8bed6f, 0x1dbc2bfb,
+    0x72ddf4ca, 0x90a32a33, 0x72433f18, 0x98e7f9d6, 0xa854257e, 0xcd7f217a, 0x99e15966, 0xb646971b,
+    0xe16a3072, 0x8f281644, 0x4bf4be27, 0x4e68cfef, 0xac7badb9, 0x9df2a993, 0x430c9da0, 0xd7e9820c,
+    0x7a6d7a97, 0xcf3a0cf4, 0xe3b2f8ba, 0x4f40acd2, 0xd5e225ef, 0x1a93a303, 0x3eecebb6, 0x6342b14d,
+    0x27413f7e, 0x9da5527c, 0xb1a0cedd, 0x9d0864e3, 0xc641b09d, 0x5f5b9ff6, 0x38d4e38e, 0x293bdd60,
+    0xd3ab3206, 0xabe44bd5, 0x7048865c, 0xb3d635a9, 0x2e838cac, 0xfb33de35, 0x141aeaea, 0x2a028e56,
+    0xc8ea72ad, 0x7c14a79a, 0xf99688eb, 0xb53d2acd, 0x85db9443, 0x94d5023c, 0x06516ed0, 0xcccd9e16,
+    0xce44529a, 0x54343302, 0xe68f1707, 0xcabd8789, 0xdb9db2b8, 0x52c327bb, 0x9ea1a37e, 0xd185c870,
+    0x78f5ce6b, 0x459de36f, 0xf439f046, 0x9c116a34, 0xbb229e1f, 0x74fd28b0, 0x58cd57be, 0xfc291c0c,
+    0xd1d18ae7, 0xe23a3b1f, 0xa7a9ce27, 0xf3ce31fd, 0x73e6b640, 0x7646c8a4, 0x240ec3db, 0xd9408b1c,
+    0x00000000 }, /* 10**-00000000000000000000000000000001652639921975621497379788270081927599571011707\
+                          41070304821162198818601447809077836456297302609928821211897803006255839576064 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5,
+    0x00e42629, 0x58b724a9, 0xbfbe8c3d, 0x317ccd78, 0x10b11570, 0x62e0eda0, 0xaa4e297a, 0x14f5e507,
+    0x00000000,
+    0xe837b7e7, 0x768fb54f, 0x3ece2bf1, 0x9f8cec74, 0x07aa0abf, 0x29942521, 0x50e8b2d3, 0x39f18545,
+    0x0b64ed6a, 0x736a9c25, 0xaaff24ff, 0xe3a92213, 0x48059bbe, 0x0732244f, 0x9fb52280, 0xb6bbdcd7,
+    0x516d23e7, 0x263e97fe, 0x32cdc99b, 0xc50b4739, 0xb2a66bf8, 0x5797bcf1, 0x4f9e62e5, 0xbc98f93d,
+    0xcb8462f0, 0x3d6f56cf, 0xdd060ced, 0x266c2076, 0x0c72251c, 0xb35fd8ed, 0x1c273d83, 0x28610f06,
+    0x4b61c8d6, 0x14164a34, 0xc971082a, 0x5fd18dba, 0x3fa79078, 0x9493829c, 0x63372828, 0x6ac4d91d,
+    0x861c5479, 0xd348e1f6, 0xb68fa354, 0xd333c18f, 0xa17634a3, 0x692e2c7a, 0xe0a50d37, 0x9a49480b,
+    0x6999f1f3, 0x89030bc9, 0x9543c53f, 0xccf5e2f3, 0xde896848, 0xd27b5b2a, 0x6a4eefca, 0x5634ab58,
+    0xaeb7079f, 0x45a7df5c, 0x7e7becbf, 0x0bd09f79, 0x191f9a62, 0x8bb7b3eb, 0x9611e60e, 0xa6e8343a,
+    0xf87b0963, 0x82048956, 0x9f30f8ba, 0xfc87f3b0, 0x82870642, 0xb6150308, 0xc98b2792, 0xb9ae946f,
+    0xff6818b5, 0x17031487, 0x4f2a0b11, 0x4b2325b1, 0x8c702844, 0x6b79b0fb, 0x0cfc445c, 0x62d9c794,
+    0x8b560f4b, 0xb5bb2a8f, 0x72da42bb, 0xa6172c1b, 0xaa710a82, 0x5907e9b9, 0x108ec4a1, 0x5d64e4e3,
+    0xc05755f5, 0xa0074919, 0xc921a80b, 0xa5f395f3, 0xa5c1b89c, 0x459817ee, 0x6c8a36ab, 0x20a406c0,
+    0xa82b6689, 0x2ba5dc79, 0x30451ace, 0x791eeb2f, 0xd7eb19d7, 0x61c4d857, 0x6b79c4d5, 0x565e868c,
+    0xec221805, 0x5db9bcd2, 0x0eeb73db, 0x65c142c1, 0x62ab2231, 0x3546eda1, 0x80b0ac2b, 0x6bf862a3,
+    0x783b0134, 0x5456db54, 0xf750a267, 0x51a1e0b6, 0x3ed7b6ab, 0x01056f5a, 0xadf44c52, 0x7160a781,
+    0x7f123d2f, 0xe3c027bb, 0xbc155ebe, 0xc41e1a55, 0x7424d36c, 0xecb37027, 0x9a6700ee, 0x4d950485,
+    0xd729f95e, 0x1aa6896f, 0xad1b96bc, 0x87281034, 0xb909601e, 0x3897a6eb, 0x619fa0da, 0xbbd5450c,
+    0x8ec92080, 0xe0195afa, 0xe0bedef8, 0x846313de, 0x483b0f82, 0xc1a36b6e, 0xa571bb82, 0x84bc8f72,
+    0x239e2500, 0x72ed5b76, 0x804bbeed, 0xb04c3b82, 0xb9a79257, 0xeba1fb5c, 0x4099c9e6, 0x187698f5,
+    0x95d2834c, 0x408c5792, 0xeb91a595, 0x4ea9f100, 0xeb1be0bc, 0x94045c44, 0xb0e18bab, 0xce208841,
+    0x731c80cf, 0x9e14b565, 0x7cd8067b, 0xc9c372c2, 0x88651476, 0x7c186579, 0x1f29b55d, 0x805d705f,
+    0xaf90de39, 0x62b64dae, 0x92691bfa, 0x8af0fa26, 0x67484508, 0xbc5a5a48, 0x9514cda5, 0xaeacc541,
+    0x52fe7b1d, 0x348659e1, 0x06e5825b, 0x4e203d52, 0x6a54612b, 0x871b058e, 0x49f9abeb, 0xf28bd7d9,
+    0x77ac7a0b, 0xbb5e1ace, 0x28a3f183, 0xbebf150d, 0x2aca4a02, 0x438e9098, 0xdb57c2e0, 0xd6c9a969,
+    0xa931da1f, 0xb2cd10d1, 0x5819933d, 0xb5c4d267, 0x4dba58d3, 0x399b4722, 0xb63e7092, 0x2de455e2,
+    0xcd287462, 0xa1f9e4aa, 0xf54134ff, 0xcedbad55, 0xe6a0cf4c, 0x8cf94774, 0x18fec8f6, 0x6681e34f,
+    0xb7a3649f, 0x77d2ed19, 0x988e4997, 0x9d624339, 0x5d6f9d34, 0xc50b92ab, 0x4933a317, 0x0da7b02d,
+    0x38f2aaba, 0x2d0cd0ea, 0x196c869d, 0x32cada02, 0x88d87102, 0xeaee70b4, 0xc4058064, 0x171fbc5c,
+    0x5ce8b03a, 0xac318feb, 0x0e618bf5, 0x5a0dc2f6, 0x27be6a24, 0x8915bbec, 0x3e870015, 0x13b46edc,
+    0xf88a9e93, 0x51c7cbf8, 0xdeb825f3, 0x897ca628, 0x73e2acd8, 0x2ea4797e, 0x40bcf2a7, 0x10d83552,
+    0x45d23b98, 0xf656eacf, 0x16ddcbbe, 0x7da6b9cb, 0x1d5af15b, 0x783916d7, 0xa2f0f516, 0xf0d56e86,
+    0x2dd83464, 0xaf73b929, 0x48ced8ce, 0x6b0d1999, 0x6f620864, 0xebae0c6b, 0x97d932ab, 0xb9a1563c,
+    0x3dd06e68, 0x0d31c949, 0x21720b14, 0x36705ef7, 0x50caf246, 0x65af68de, 0x91dd8419, 0xf36188bf,
+    0x09d5e75f, 0x139c2206, 0xf82bfa14, 0xb115021c, 0x30e070d2, 0x92405696, 0xa4d27b9f, 0xe8965cee,
+    0xbfb117aa, 0xb7be3ef8, 0xf015bb2f, 0x4b58d512, 0xef490c7a, 0xb21ea1f1, 0x21ecaa51, 0xe4538310,
+    0xf056efd4, 0x2e2f2ada, 0x619f93ce, 0x5c9d5369, 0x9fadf9d9, 0xf73d0af6, 0xfdf1b872, 0xbcfe2786,
+    0xc584f7d9, 0x6c048a0f, 0xda66c5e9, 0xb49be3e1, 0xec9dd39b, 0x19290a74, 0x78f134bc, 0x14e5f0cd,
+    0x8d725d3d, 0xb63b7aa7, 0x7e60a25c, 0x5534682d, 0xb3463c16, 0x69491de4, 0xa6e42338, 0x90fc1bbc,
+    0x9c096193, 0x88dd7ea7, 0x97eaec4c, 0xaf725632, 0xed1a2550, 0x6144e474, 0xad17d3d8, 0xd34c523f,
+    0x969b2f0a, 0xb1e72738, 0x4b54921b, 0xd9d7515c, 0x164f75ba, 0x85728294, 0xef65cb55, 0x695b2e55,
+    0x2e07500c, 0x88ea885f, 0xfac256e5, 0xf4cd7188, 0x634ed3a3, 0x02bbf603, 0x67dc8ccd, 0x3bff9415,
+    0x96caa2c9, 0x82e5d062, 0xa756a718, 0x9d411c8a, 0xb984de1e, 0xcdb386c8, 0x5224c663, 0x45f6c618,
+    0xd5104da0, 0x7e7fdcfd, 0x35d2895a, 0xd4c71911, 0x78617cc6, 0x99b036f0, 0xa3ca4fb4, 0x1449078a,
+    0xb7d82f8d, 0x5c17d0a1, 0xb29d29b1, 0x19ddfc3f, 0x2e0d8fd7, 0xdb64b893, 0xff0d0783, 0x69d33289,
+    0xc5b7b7f5, 0x3d0eaf3b, 0x22000d64, 0x4b0d2e28, 0xfb087c8c, 0xc0a12c71, 0x8cf72321, 0x5f8f0310,
+    0xbf0cd8c3, 0x769ca70c, 0x37acddfa, 0x403946e8, 0x44a60329, 0xed949f5d, 0xfd881aae, 0x337f54b6,
+    0xee20b2dc, 0xcb5e49d2, 0x740b1b52, 0xb85c62f1, 0x5bd37936, 0xcf509b2e, 0x5db61f8f, 0xba07ac99,
+    0xd664cdcc, 0x8eff85de, 0x3ad2910a, 0x321c8a31, 0xf70d1580, 0x36a1dd8a, 0x28017f90, 0x6224e3bf,
+    0xa78ba05d, 0xa05d02af, 0xbf2a242e, 0x63f59b74, 0x132aad74, 0x6820e020, 0x4c923984, 0x5b0e812e,
+    0xc2ab90fe, 0xab017f0a, 0xa0a327dc, 0xd2da8f6e, 0x99ff3e62, 0x717a8feb, 0x88298f2f, 0x9a406076,
+    0xf95823da, 0x3f674a4f, 0x0db0367f, 0xb3a01d69, 0xdf31b678, 0xd7f22a8f, 0x8cee9aff, 0x073b8a41,
+    0xac1e3939, 0xc81fad74, 0x06ce7333, 0x8495128d, 0x8789dcd7, 0xc78bc643, 0x9b761db9, 0xbb750051,
+    0xee07d89e, 0xad81befa, 0x20217df2, 0x583e1908, 0x4ef51d76, 0x6aa46965, 0x199b3473, 0x4c0d1938,
+    0xab5fe307, 0x020a0cf2, 0x8bf6b6dc, 0x55d4c260, 0x0213b2a9, 0x253fc9a7, 0x77bc7db1, 0xc684667d,
+    0x4a2793e4, 0xd798544b, 0x85782e47, 0x486d7a5f, 0x7db5a53a, 0x11641543, 0x34755771, 0x6d6d1f5a,
+    0xc055cab1, 0x2f7d8da8, 0x02abe82a, 0x307eae78, 0x4643f6f3, 0x58178206, 0x51a3ca76, 0x2568a21c,
+    0xa0972284, 0xe09e49f4, 0x5569f911, 0x7a45b9e3, 0x9cb4b859, 0xe4e0016e, 0xdd68d61d, 0xc88c4259,
+    0xeb85dd3d, 0xfac4dae8, 0xbde337fb, 0xdaa1f373, 0x70feb0e0, 0x34b7057d, 0xb58d2916, 0x9e3911cc,
+    0xd895970c, 0x3af6d582, 0xb2e82901, 0xd84adaf7, 0xf96cc93c, 0xe6700edd, 0x7caa2a33, 0xc4ae190b,
+    0x19859218, 0x4d029c31, 0xb19d242a, 0x6f450d01, 0xee408115, 0xddd80792, 0x421d7ab8, 0x03a14550,
+    0xa76734d8, 0x226adb8d, 0x5c92908c, 0x7a1c683b, 0xeaf80341, 0x51b27efe, 0xc8dee4af, 0x596841a7,
+    0x3e361307, 0xba0bd406, 0x4f2564fd, 0xbfbf9722, 0xcb154530, 0x9d8030af, 0xfa9fd1e7, 0x40bdd639,
+    0x85e1f507, 0x91a5176b, 0x3bb5ef86, 0x552d8793, 0xa1b001c0, 0x3eec9e3e, 0xc6379e47, 0x3f9cbdc7,
+    0x74f3ad68, 0xdf0701e6, 0xaa6d9dc6, 0x5094c9bc, 0x512716f9, 0x1783c908, 0x9c35cd09, 0x4b9d73fd,
+    0x31b23859, 0xdd690119, 0xdfd13bdd, 0xb55b3008, 0x9fe4122c, 0x31ba87e7, 0x1331b8a4, 0x645d3b71,
+    0x570fb5c3, 0x8868de3c, 0x7a2f0193, 0x9a2f7ea0, 0x670baca4, 0xe454ccf0, 0xc6b741e8, 0x2fabf941,
+    0x87a01e6b, 0x07eb1fd1, 0x5322fc8e, 0x4afab23d, 0x9ebcee29, 0xbfe77095, 0x61803258, 0xc271270c,
+    0x73857eb3, 0x03c7187c, 0x5e162883, 0x1f89ed8b, 0xf50499f6, 0xa91bc9bf, 0xe4200124, 0x1b1b728d,
+    0xf40ba4db, 0xa2601cd8, 0xabc02f0d, 0x34fbd6e1, 0x4245c2aa, 0x67febb91, 0x8e3a1e4d, 0x7ed3720b,
+    0x32be4397, 0xc40d22d7, 0x6b22106e, 0x9210ca57, 0x130f557d, 0xc59ca39c, 0x6e46a8be, 0xf79f8c30,
+    0x47bea94c, 0xf8a6e42e, 0xd3990f6b, 0xc3fa01de, 0x9b7e7469, 0xf5da3472, 0x687b7459, 0x049c82f0,
+    0x2a40dbb0, 0xa5fc7491, 0xf549bd5d, 0x797ac36b, 0x726c247e, 0xded8240d, 0x22d15756, 0x54fc19ff,
+    0xd74c825d, 0x7f04212f, 0x61723ed0, 0x8d498ac5, 0xad37c226, 0x70388c2c, 0xe32638ef, 0xdddb97a6,
+    0x0368c821, 0x8b91846e, 0x408367e0, 0xa5a2a1fd, 0x98a37ab4, 0x895fec8b, 0x590dadd6, 0x8d4cf78b,
+    0x6d917c0f, 0x20807394, 0x6692aad9, 0xc93402ad, 0xecdec54f, 0xc02a80ad, 0x27b4a47e, 0x4b673173,
+    0x8c82057f, 0x136a1be5, 0x8a2f6faa, 0xaa4088a5, 0x59cc6d7c, 0xb4c9e7d8, 0xfa5b9a25, 0x6e2d2a42,
+    0x7f3d5229, 0xb3ad5928, 0xdb405244, 0x95c31c46, 0x31607a12, 0xf9e13bee, 0x73b37628, 0xb6b689df,
+    0xc816b1e7, 0x96cc3158, 0x8d58c287, 0xdaa9b68c, 0xe7d37f23, 0x7b69fa6d, 0x3a6dff43, 0x517c4918,
+    0x64d222be, 0x9762e2d7, 0x00032ed9, 0x72cab143, 0xe7d2af43, 0x9dcaeba2, 0xf41ae8a0, 0xf1aacfc2,
+    0xdcdfa328, 0x4d2c4ed9, 0x3dc807c8, 0x0daf65b0, 0x949cfa76, 0xc13a3b6c, 0x36272ccd, 0x651a01a5,
+    0x65ad4193, 0x24bb020b, 0x911ce3c8, 0x778975b3, 0x493dc958, 0x154511b7, 0xac2120f1, 0xa2b170bb,
+    0xc12e4939, 0xb86d4c1a, 0xf4a48545, 0xb92ba676, 0xee597bdc, 0x839dea19, 0xad39b8bb, 0xfd2f1778,
+    0x48d27784, 0xa3720fb7, 0x399bec1c, 0x3e1e6ae8, 0x065f863f, 0x743df3af, 0xac240b9d, 0x49053897,
+    0x4a75afa3, 0xc2f6e4ee, 0x58bc6e21, 0x99e0d98e, 0x9204057a, 0xea5cf089, 0xbf5774ed, 0x8d14e985,
+    0x22f27149, 0x639a0a7e, 0x7a358f4c, 0x95db208c, 0xd01baf54, 0x38766860, 0xb18e80d9, 0x89aa80fa,
+    0x29f3204a, 0x459a690d, 0x7d996d21, 0x02bc19cf, 0x7f83f58e, 0x1d47727a, 0x77d08cfc, 0x1aa8490e,
+    0xb4911615, 0x7ff0efc5, 0x71766152, 0x402f05e4, 0x2225b087, 0x8cf587c4, 0xfabc9cdd, 0xcff67dbe,
+    0x55d8b7bb, 0xe5dade4f, 0xc835ae85, 0x21115abb, 0x152e4385, 0x15e16559, 0x5b606124, 0x5fea72fc,
+    0xae29d5ce, 0xf77311fb, 0xf5a7b371, 0x0065919e, 0xd1d4fbbb, 0x3e870c46, 0x9ef9a702, 0xcf3d60e4,
+    0x1fb983e9, 0x030277e2, 0xf9257745, 0xd1d45071, 0x9e4ff182, 0x7a15ebde, 0x05fa055c, 0x7be5ad5b,
+    0xeaf26583, 0xedb5c398, 0xbca9f185, 0xf7a348bb, 0x120f86be, 0xfc5cd7cb, 0x05e9490d, 0xf4c69573,
+    0x58570e2f, 0x09e8e13c, 0x8756af0c, 0x3a965c34, 0x0740910b, 0x1d96b6e3, 0xdd1faf35, 0x8b94391f,
+    0x5a5a4483, 0x70d217bb, 0xc91bfc76, 0xb151241d, 0x21110753, 0x51644a55, 0x9ed02f00, 0x17dce8a3,
+    0x3774c2c4, 0xe387151d, 0x7d7e9381, 0x1a3d4005, 0x9df13c9c, 0x4676ffa8, 0xd825d166, 0x720ff236,
+    0xf409f783, 0xf362768c, 0xf2231187, 0xf6e34817, 0x2a687561, 0x196b7e85, 0x4271a3c8, 0x7b257377,
+    0x236d4f05, 0x95bad999, 0x5249736a, 0x893ef4f3, 0xb483b627, 0x230b2a37, 0xfd244026, 0x1873c91e,
+    0x4b3a5f98, 0x3543a649, 0xb65a135c, 0x10152f3e, 0x137ba042, 0xd870b876, 0xceb84f2f, 0x75ea4f56,
+    0x4889fd3a, 0x1b2213ae, 0xc7c8d49c, 0x170d2830, 0xc9c34cc9, 0xc4de7ff3, 0x83afafc4, 0xfdc15523,
+    0x0c19d79c, 0x47eb90ad, 0x2374f13f, 0x6c53433f, 0xa5a2b4b0, 0x76009a3b, 0xe7e8e4c5, 0x75b4e039,
+    0x6f89fdd3, 0xa39cbdba, 0x65df41b4, 0x97f20eb5, 0xb35b1d45, 0x0ec9bf97, 0xa6c045a7, 0x82e16ca3,
+    0xcf934ece, 0x0a82303b, 0xbdc1a233, 0xb4166ed1, 0x53533f78, 0xde86ada4, 0xa65acd98, 0x44adc13a,
+    0xbef01c6e, 0xd27e5cb5, 0xe9112d62, 0x8d9f8a8d, 0x21374382, 0x1e96bee9, 0x1cfd6517, 0xaa967f37,
+    0x7cfbcbac, 0x56833ccc, 0x8529baba, 0xc982fc81, 0x8a6735e4, 0xc66678fb, 0xebac9d73, 0xd9c47bac,
+    0x2a26dfaf, 0x144641bc, 0xd9e5bc8c, 0xb60075dc, 0x1544448d, 0xc05cf3a9, 0x8b83c30a, 0xedafb007,
+    0xb21a3809, 0x6f3c35f4, 0x493786bd, 0x808f7719, 0x1f0b7bcd, 0x62e2a7ef, 0xfafa3cfc, 0xd4d3dfad,
+    0x3c8b671d, 0x1f8bf4e7, 0x25f9720c, 0x1e1ea0aa, 0xa1c96297, 0x2a74bfad, 0xce71ee03, 0x8459f35d,
+    0xf7e97305, 0xd8fa1d1c, 0xbc75d911, 0x6cf5868e, 0xf021a41e, 0xc24de3f9, 0x1f106fc1, 0x956de611,
+    0xa278b0c6, 0xdaf3b19a, 0xc7d70768, 0x677acb4f, 0xbddb7510, 0x3ac7efc5, 0x530a8a6b, 0x147bee67,
+    0x333043a8, 0x07ecc206, 0x089679ef, 0x4a9f54c4, 0x8734ad3f, 0xfa24059d, 0xf50c0f22, 0x141ef81e,
+    0xcf05d616, 0xddc69528, 0xac645bae, 0x31d30512, 0x3e8aa11a, 0xfd254fc4, 0x190b11c0, 0x8a151dc9,
+    0xe46630f7, 0xbd0ac1f9, 0x4f57af06, 0x6be02561, 0xe31bc89f, 0x66777d5e, 0x5ab80630, 0x7b87f1a5,
+    0xda3a0e5b, 0xc12c99b5, 0xcfd4950e, 0x2d467b50, 0x6d333cba, 0x8dbd255e, 0xa0654c49, 0x3414c481,
+    0x2bedb339, 0x86283782, 0xa068b3ed, 0xa2f5b725, 0xe3a6d9d4, 0xf37db759, 0x4c16c758, 0xebbb7004,
+    0x7fddf5ac, 0xd90226c0, 0x74c1497d, 0xb5a0d31e, 0x7595e772, 0x5d936299, 0x549405de, 0xd449d57b,
+    0x3fa72da8, 0xedae45dc, 0xd1bafaa8, 0x6021a9a0, 0xb1da9219, 0x6e05f0fc, 0xc97158e4, 0x4dc8e8ed,
+    0xbd7108a5, 0xdc850512, 0xee9869ed, 0x0191e466, 0xa5217e42, 0x82c4fb8b, 0x76ceb330, 0x8d06d03d,
+    0xfbec4ea0, 0xf4a55a7e, 0x09526e47, 0x85e90d5d, 0x22418d3b, 0x75d85310, 0x84d70c9e, 0x21debc65,
+    0x2b0c9c44, 0xcc516a45, 0xcf7a7da5, 0x7b66969a, 0xc8dfeefc, 0xf5c46c75, 0x2a80449b, 0xe39bc496,
+    0x12e82b37, 0x5690fbdc, 0x0b742219, 0x7df8ebcf, 0x6c93a006, 0x21acacaa, 0xe0817cde, 0x84255061,
+    0x446442b4, 0xdb515964, 0xf9e4aaa9, 0x3649fe6e, 0xe5eff709, 0x2f8f1fc3, 0x8435106c, 0x84633565,
+    0x7d057cf1, 0x5a2b2ca6, 0x8350bfb9, 0x18fe83c7, 0xf0888bce, 0x3d0c3c14, 0x74907199, 0x89d6162c,
+    0x2a4c62d9, 0x6923cf42, 0xc072f364, 0x0034bfa9, 0xb346d44d, 0x74c54421, 0xbc550f49, 0xa9290f7c,
+    0x76d87567, 0x5e584501, 0x8cdca543, 0x967040d9, 0xc893c3b3, 0xfeef55ce, 0x678e7aba, 0x1b0ba56e,
+    0x9947b917, 0x8d364a5a, 0x79ac2fb9, 0x598fba23, 0xc199065e, 0x8f1d7146, 0xca3bed72, 0xeda5e58b,
+    0xd0ade495, 0x74fb398a, 0x1908b0e9, 0xef49c1f8, 0xf180650d, 0xd4c33df7, 0x8f11b3ca, 0x91bce78a,
+    0x1920d3e1, 0x130b5c3a, 0x9bf7551b, 0xb9a31f07, 0x99cead22, 0x0cadaa7d, 0x8f47de1d, 0x72d172fd,
+    0x00000000 }, /* 10**-00000000000000000000000000000000826319960987810748689894135040963799785505853\
+                          70535152410581099409300723904538918228148651304964410605948901503127919788032 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea,
+    0x80721314, 0xac5b9254, 0xdfdf461e, 0x98be66bc, 0x08588ab8, 0x317076d0, 0x552714bd, 0x0a7af283,
+    0x00000000,
+    0xac67f562, 0x7f1daf4d, 0x85ae7948, 0x0bc8bdab, 0xddeb5192, 0x54c38068, 0x947b6f2c, 0x0b7dc19b,
+    0x691adec2, 0x403e4b19, 0x353c2e7f, 0xa6c4db20, 0xc819ca38, 0x772841f5, 0x46e22d0c, 0x5fa6db19,
+    0x77b83467, 0xf55336d3, 0x6906c321, 0xc38bc5c3, 0x2e80c908, 0xcea44a21, 0xf8746aa9, 0x0e91b7cb,
+    0x4592f1b0, 0x84f705dc, 0xcce80d0f, 0x3fca906b, 0x3788f5ec, 0x97bdde25, 0xccf82781, 0xf2dd60b1,
+    0x84adb0cc, 0x675cecef, 0x898e4398, 0x4e223338, 0xf1a06a3f, 0xc8717c78, 0xf2b01b33, 0xc990390b,
+    0xb58889cb, 0xcf9cae61, 0x116ade77, 0x1ed414f8, 0x2fdd3bc9, 0xb5fdbc9e, 0x0cf099ae, 0xe54eb419,
+    0x314cbddc, 0xb0b93afc, 0x23c3fd54, 0x5015af1e, 0x75b90b65, 0x3c1777a5, 0xeb61a441, 0x51926ef0,
+    0xd0bdfe1b, 0x9d5bf9af, 0x3b759e61, 0xef96388f, 0x085d66c6, 0x0537de12, 0xb6a4c60c, 0x936697cf,
+    0x4d89a916, 0x8d255994, 0x4357bea1, 0x241b2de7, 0x9a12ba43, 0x9047fb28, 0xa3a9a767, 0x4f356b1c,
+    0x527ac6f7, 0x3d4f0504, 0xa91e6dbd, 0x8cba2934, 0x2d2cf5f4, 0x9a562ad9, 0x213a1982, 0x1fe69b31,
+    0x10f87648, 0xdc6c7797, 0x59c3f038, 0x12425de3, 0xec96110c, 0xd0985ada, 0xca7ba253, 0x22aeb496,
+    0xa0df9364, 0x305770b9, 0x73d52ede, 0xef69badf, 0xff1a71d5, 0x6225c3b1, 0x3ff41457, 0xc5ab262f,
+    0x0b3dec0a, 0x51b80305, 0x22813a70, 0x37859e31, 0xebaebeba, 0x5ed681be, 0x5df71252, 0x47934716,
+    0x219a58c5, 0xf70c135a, 0x59f9a828, 0x2a198407, 0x89c1b1db, 0x708979ed, 0xbda4c725, 0xcf8335ed,
+    0x41564033, 0x34a0d923, 0xc753a844, 0x95afd090, 0x54736c14, 0x4131cd53, 0x0440a5f4, 0x8ac9599e,
+    0xec1e9e20, 0x5ace35d1, 0xb539cc78, 0x9c65837e, 0x251383d9, 0x53dc0e5b, 0x2a04b867, 0xb7c652ec,
+    0xd03595eb, 0xef3be343, 0xfe10857a, 0x32068685, 0xe2dd3950, 0x8bbba608, 0xa487634b, 0xd36d3683,
+    0xfc3a0a0a, 0x57bd7692, 0xb71a2315, 0xfb49261e, 0x49b06390, 0xb79f59bd, 0x4edf2c1a, 0x977c561d,
+    0x8088ce21, 0xde0da7f0, 0x0808a859, 0x1b3e46de, 0x8a9acb22, 0x09391124, 0xda3cd15b, 0x9a47441a,
+    0x79acc241, 0x7f64f9e1, 0x96cfe928, 0x5c89167c, 0x3bc2ab5c, 0x81b9c3e4, 0x06efa944, 0x29cd62ec,
+    0x3da23fb6, 0xfb7e30fa, 0xb9fddb28, 0xe9520ac2, 0x08a17661, 0xc0ddc27a, 0xd030e1e1, 0xbc48cab1,
+    0x57acb39b, 0x44151d0c, 0x003d2f75, 0x6b8a8598, 0x95db8e46, 0x85d18f24, 0xfea3455b, 0x54674607,
+    0x4f9fdfb9, 0x1f376518, 0xad6ddaa3, 0xa1610023, 0xf286243e, 0xdbd0a635, 0x2d97d5fb, 0xe26bea9c,
+    0x302f25c6, 0xe9b119d5, 0xa2ece488, 0x63525085, 0x94aa4281, 0xde88aeca, 0x6b772046, 0xf20e2f70,
+    0x0f12c2f4, 0xd8e6351f, 0x966b6198, 0x58fc3db3, 0x260d5f18, 0xa81e36f0, 0x13bb659b, 0x593c3f78,
+    0xb81bdc5d, 0xd8018c57, 0xa0fe6231, 0xdcdbd935, 0xf4719de3, 0x129a9c4e, 0xe81ae7c0, 0x9a675ff4,
+    0xb4255f32, 0x15d8c4c2, 0x759dab11, 0x27823859, 0x5d2eb505, 0x6f606f8d, 0x76631b0e, 0x10782e06,
+    0xeb8c10b1, 0x549b124a, 0xe1e59ee0, 0x3ec36bec, 0xe41ab7d7, 0x9a66c7be, 0x53a3f503, 0x11da4a7d,
+    0xd6b7ccd1, 0xe9834b47, 0x42705522, 0xe9722ce4, 0xcdac89bf, 0x62ad47a3, 0x5883fab8, 0x7e676595,
+    0x8360c3b9, 0x9123bfbb, 0x9bad3ab7, 0xc9f6614f, 0x1e559792, 0x6a520e98, 0x30203d08, 0x9b1e3b36,
+    0x79583bcd, 0x9227bda6, 0x3177cc6b, 0x79d60c10, 0x7c5d75c2, 0xd104b6e0, 0xf9f50a81, 0x830406a0,
+    0xedae028e, 0x0d58e6bf, 0x18692db9, 0xe4ff56cd, 0xd6cc3c87, 0x9021821f, 0x7c7cee26, 0x0d0b57ec,
+    0x9ef0e82d, 0xbdb1feee, 0xce5a17b6, 0xaf75a1ac, 0xd3c7448b, 0x932134d2, 0x319abb2b, 0x116171c6,
+    0xbe1a224f, 0x0d6e015a, 0x6ef0327a, 0xf5dcc665, 0xcd366180, 0xdf19ee40, 0xa1e9421e, 0xb44ee53f,
+    0x00508667, 0xf5f59d64, 0x7b1eda5c, 0x0c2f8061, 0x56600434, 0x3880354e, 0x8b9ad426, 0x90d3da81,
+    0xf15b3cc4, 0xe395fa02, 0xfc7a6809, 0x7f0c3d54, 0x158caf77, 0x8ef1c89d, 0x7cc59c9a, 0xdf2e07ea,
+    0x933ce44d, 0x72b4d5de, 0x5777cce1, 0xe9dc5fb3, 0xe83e05b1, 0x5de607a5, 0x4c5b9984, 0xce88934b,
+    0x91085859, 0xfc2e1a8d, 0x6ea8e060, 0x7d4e02fb, 0xe8b2d4ae, 0xf51aefc7, 0xcdc44124, 0x3a9c72fc,
+    0x71f01e15, 0x021638e4, 0xb9bb4bd2, 0xd01a89ab, 0xe96fd541, 0x6238a695, 0xa03e7f5c, 0x98c14b51,
+    0xaa9ccef5, 0x677a3b84, 0xc371e09d, 0x207364e8, 0xb664c7dc, 0x1dab7118, 0x16fe97f5, 0xfef9801c,
+    0xfaba8241, 0xe188a52b, 0x0711e475, 0xa03e1ce2, 0x43eee443, 0xed31f03f, 0xbd3d99c6, 0x25d3c07d,
+    0x2260d190, 0x02de447d, 0x4286e68f, 0x462e8fe5, 0xf2137324, 0x3b4896c2, 0x8c1d4a17, 0x48d603d2,
+    0xee430d9d, 0x7fd16cb9, 0xf0acb3b8, 0xe6b9ff40, 0x7fe5953e, 0xe070ec9b, 0x343f5a7f, 0xe6afadfb,
+    0xe5b7c53a, 0xdb0f126b, 0xda32916a, 0xafe00d6e, 0x6a11fed3, 0xa5803dd3, 0x41fe584d, 0xa9b4c213,
+    0xad85d214, 0xfd349f03, 0x3d2c09b4, 0x8e1d7e93, 0xeb3e4080, 0xcbf1cc8a, 0x23250cc7, 0xc118f91f,
+    0xb60c0356, 0xd4295360, 0x9d9b224d, 0xe2389036, 0xc811062b, 0x08535323, 0xcf59449f, 0x3395a7a3,
+    0x19466189, 0xa820b43a, 0x88fe5d9a, 0x40ea63a1, 0x9bc86e66, 0x90eb61e6, 0x5e3cba2f, 0xe9ac1765,
+    0x06be3cfb, 0x0c686c02, 0xe3e47674, 0xc46ae3fd, 0x16de4e8a, 0xa4f930c7, 0xc759f034, 0x1111577f,
+    0x2c1aa89e, 0x3098f67c, 0x19c3c536, 0x0f3febb8, 0x6f3faf0b, 0x6c3b1ab6, 0xb8bf2637, 0x10ec61f0,
+    0xb0d36c24, 0x6e5ff214, 0xc3444379, 0xffbd0d4a, 0x73e8f6db, 0x8816cb61, 0x0d4dd5aa, 0x62bcd2db,
+    0xb55e14fb, 0xc15132d2, 0xc6c89f0a, 0x7229b8e3, 0xaf38c129, 0xde83f9a0, 0xe8c0254d, 0xfcd49138,
+    0xabe6d352, 0x0c40f05f, 0x4a3f0c10, 0xd7ba3c57, 0xd89db11e, 0x9f901a1f, 0xc5521509, 0x9f91831b,
+    0xa7e48c01, 0x1e2b4084, 0x781a64a7, 0xeb6580fe, 0x60636c60, 0x3c172339, 0x8f080f19, 0x644bcc12,
+    0x74de0380, 0xa7fc2284, 0x5e3678f3, 0x9b4a69ea, 0x735149d5, 0x026c876a, 0xfef17d88, 0x3e1c817c,
+    0xeefb049f, 0x8dbb478b, 0x0a7ba103, 0x89884097, 0xb500ce9b, 0x90bf6649, 0x53d9ca5e, 0x3df17f98,
+    0x8f14d971, 0x94ba6c15, 0x848b4c5f, 0xc3241937, 0x339ebe27, 0x27e6da3f, 0xea96e24f, 0x1419227e,
+    0x1c610d4a, 0xb4e47d02, 0x187f5135, 0x032d399a, 0x14abc05b, 0x8016a0a3, 0xae175d10, 0x1bb909e8,
+    0x5ad06527, 0xa5838059, 0xb19360b1, 0x4d397e94, 0x12629968, 0x7fa9a4a0, 0x297add02, 0x6dbc50a1,
+    0x9de642ae, 0x61bab027, 0xfa6c9aa0, 0x7e45cab5, 0xb62ce41e, 0xd58cccbb, 0x1280717a, 0xca021dc6,
+    0xf6e0f423, 0x80981b1d, 0x8ed02e8f, 0xaf021d70, 0xd6e9815c, 0x14568429, 0x37228f29, 0x17deb651,
+    0x00462f34, 0x7db783e8, 0x944349a1, 0x2a70506f, 0x026b5bfd, 0x7df4002b, 0xd8738d1e, 0x5be0dc15,
+    0x5df33bdb, 0xa80ee102, 0x3f761a43, 0x33966ca8, 0xaba55f04, 0xce47d0b0, 0x79e5652e, 0x3d551270,
+    0x686b6b55, 0xd0bed719, 0x4b2ef10b, 0xc4112c3f, 0x2b8db4e3, 0xc4e3ca21, 0xedae4fa9, 0xc09c02c3,
+    0xe1bb718f, 0xf9865af6, 0x04c5e3c0, 0xb54d8398, 0x1b17121d, 0xdbb63271, 0x6795c21a, 0x1716bb5e,
+    0xd128a3d5, 0xeb5a4286, 0x6bbf10db, 0xc65ec43d, 0x50008ed7, 0x72766bcc, 0x92ada608, 0xa8d48a5d,
+    0xc6e7ccae, 0x2c8f9ab4, 0xc7b61de7, 0xcf504360, 0x77305084, 0xcb8bc020, 0x67a286de, 0x22a1f042,
+    0x9d8c2638, 0x12c23d45, 0xb4210d25, 0x84f964a3, 0x76586616, 0xdc3d00d1, 0x8b0be45e, 0x3901a118,
+    0xe23a955e, 0x9f900432, 0xb07e53d3, 0xa529bc46, 0x5a4ede31, 0xa0ec2cba, 0x5f16a93d, 0x70b4a117,
+    0xd5375fc8, 0xd23184f3, 0x08642efd, 0x364cca1c, 0xdd62abbf, 0xcabb9c24, 0x49cb9513, 0x83d5fd34,
+    0x45efeeef, 0x9536daf1, 0xb679d3fe, 0xb4542361, 0xff65f6f9, 0x4360c727, 0x3440d117, 0x3b4c83ea,
+    0x179aea7e, 0x2895c2ae, 0x9cb17789, 0x8a388f6d, 0xb07ca34d, 0x7620bef9, 0x69f779e7, 0x5c720f1e,
+    0x475e05de, 0xefb75b01, 0xc53ce64d, 0x82e9f418, 0x1730beba, 0x67cd7e46, 0x2c2b64cd, 0x23e2f4a8,
+    0x41206f35, 0x99c83be7, 0x8f8a5dc8, 0x39c7371b, 0xa8039a15, 0x3de45dc1, 0xa74fd45e, 0x9c741444,
+    0x441fc86d, 0x8eb17d0a, 0x03a5ea51, 0xce4e019c, 0x6dd9cb53, 0x73b321f5, 0xd5a42f50, 0xce1318ad,
+    0x7ee7b9b5, 0x8fe37d9e, 0x249dea15, 0x6ece97ba, 0xe63074df, 0x9c37a339, 0xf937d3ff, 0x74c0d9d2,
+    0x35b194a9, 0x1ff11bab, 0xf1d987cb, 0x528165cb, 0xbc516f49, 0x286edc4a, 0x6079f3b9, 0x3c24dfc1,
+    0xcd247082, 0xd2c0400b, 0x946e75c4, 0xa5a1f2c5, 0x4138c681, 0x2ad8660c, 0xd8ef7b75, 0x42d25e18,
+    0x21a6ac86, 0x3ebc24eb, 0x8a5ca1d1, 0x43052cd1, 0x8e19b1fa, 0x316f11a5, 0xffe1f89a, 0xbb494ebe,
+    0x91a90c70, 0xd4b747d4, 0xd8192b71, 0xc857f9c3, 0x1b1a5e18, 0xf0223212, 0xc8826bb1, 0xc7f927e2,
+    0x2f3c8f2f, 0x73f79cea, 0xcae76bfd, 0x89874f00, 0x25c2b48c, 0x33e8220c, 0x19f836de, 0x2af37371,
+    0xb7a4b59a, 0xa814c19e, 0xbed2d72e, 0x7447bd61, 0xf78d5fdc, 0x12982c8a, 0x7f03d039, 0xed000b62,
+    0x6269dff4, 0x579e61eb, 0x15638c6e, 0x1e770a30, 0x561a6579, 0x99c3d168, 0xc4f5cc99, 0x490de6ec,
+    0xd62f63e9, 0xbd17d2c7, 0xead8958e, 0xaed26227, 0xc6146a74, 0x946ada00, 0x08f1a9c2, 0xfe5e4fdc,
+    0x7aac7f0e, 0x0dc2de57, 0xe6a3e32e, 0x558841c8, 0xe18fd8e6, 0xd90e3401, 0x536c2e18, 0x2c4329ec,
+    0x41df4144, 0xac37e1b5, 0xee966bc6, 0xe83e63d7, 0x0817e8a5, 0x90484d37, 0xc0454c42, 0x886aa30e,
+    0x59c5a63e, 0x4a9a0d75, 0x3bebf89a, 0xdd8135f1, 0x4b4246eb, 0xebe73114, 0x1960071e, 0xc2f88711,
+    0x490c1ace, 0x13d14b36, 0x9691ef33, 0x9013c9c9, 0x0c70f042, 0x284855e8, 0x13de14e4, 0xd91f2b0f,
+    0x94e30c70, 0x550a78a1, 0x27505ac4, 0x0f281959, 0x26b4cd76, 0x7c979f62, 0xa7d6d2a2, 0x575c6026,
+    0xc45d6e67, 0xdc713fe4, 0xefda6d70, 0xb45b0257, 0x6cc15997, 0xb3c6710f, 0x4dbafceb, 0x00782862,
+    0x71665f96, 0x7bee242b, 0x459b0ff8, 0x580c6a83, 0x2960ea92, 0x5ab7d149, 0xfacfd6cd, 0x8bcab089,
+    0x16369a36, 0x46e0852b, 0xb857b772, 0xda776e69, 0xa42bfdaa, 0x2675268f, 0x144705ae, 0x336351b4,
+    0xa93b7161, 0x255d50ef, 0x851c6fe3, 0x47d653ba, 0xee5fa4b7, 0x558ae092, 0xb92adfb0, 0x7a0580cc,
+    0x58d0e7dc, 0x71f98c84, 0x0e5ec1c9, 0xb6d40b57, 0x920b27e0, 0x5ba1523c, 0x01104c77, 0xc5d7bee9,
+    0x5c840c1d, 0x4e835ed4, 0xa640553d, 0x732380f7, 0x16870344, 0x9257ee69, 0xaef2c415, 0x3a56de26,
+    0x0a59c910, 0xb52ed1c7, 0xf280d15e, 0x400b069b, 0xdadfa7e1, 0xf11559f1, 0xa241ff34, 0x9dca123d,
+    0x6809c457, 0x13578c52, 0x4effef90, 0x0da7330c, 0x66f57b75, 0xdca539eb, 0x89bd1428, 0x057d67dc,
+    0xfef1c502, 0x4d77ad44, 0xd500ada2, 0xb54cf92d, 0xa8055854, 0x2390b6f1, 0x776b8142, 0xad433d5f,
+    0x7bfc9465, 0xc7ca2e96, 0xf3756189, 0x0c9b0d3d, 0xcf16a9c9, 0x8e53d0f7, 0x2273308b, 0xef43d0e4,
+    0x65305f06, 0xac6ce7e8, 0x84caa4e8, 0x1566df03, 0x8c1cf07f, 0x0e0c196a, 0x2a4404b9, 0xd2fb032a,
+    0x78b25954, 0xdf0c46af, 0x70e641e6, 0xf75c2c8b, 0x86fc9d19, 0xf59aa077, 0x2adf3d7c, 0xc962c3c7,
+    0xd1b206f0, 0x8e87755f, 0x3cf34f2b, 0xc7f751d9, 0x1094fdd6, 0x747a26e7, 0x8d7e43fa, 0x1a99fe0c,
+    0xa0021047, 0x72ee845d, 0xdfa3734b, 0x3d5fc9c0, 0x2f9bc91e, 0x7bce004f, 0x450ed0f1, 0x4aeba4bc,
+    0xdf57348a, 0xa1a60e5e, 0x7d3e0d9f, 0xad247be0, 0x7b16a9c7, 0xa738d4cb, 0x834c8c60, 0xe6cbb8cb,
+    0xee622de6, 0xbf7be29b, 0x18cb9414, 0x1799ee50, 0x079d4bcd, 0xa1f1e746, 0xf11be806, 0xce93872e,
+    0x5d0b8cec, 0xed2fd47f, 0x8b53ec4e, 0xbdf57715, 0x77eaab53, 0x9448abae, 0x3636682d, 0xc5d52e57,
+    0x2873d363, 0xa4d71343, 0xf94b8509, 0x1a73e8c4, 0xcc7be809, 0xd51751df, 0x61e1d160, 0xbcc2346d,
+    0x6fe1c79b, 0x3e3e7596, 0x13eedd96, 0xa152c0e0, 0x23c3f864, 0x16eda192, 0xd16dce9e, 0x18c6c8e6,
+    0xc9d64818, 0x4de19bac, 0x29631b96, 0x15c82d4a, 0xb415d29c, 0xe1161790, 0xcf6c00d7, 0x96e17d52,
+    0x06739e61, 0x0c2ba743, 0x59bcdd3e, 0xcbbd79ec, 0x3fa5ed70, 0x5b0ebf9f, 0x2170edcb, 0xa84ca5d1,
+    0x471de7a3, 0xb3e89f7f, 0x260caab8, 0x69b3a800, 0x19e75297, 0x88f4ae1c, 0xb2cb3179, 0x2016f617,
+    0x809128a7, 0x5c3af64d, 0xac81c5b1, 0x070c960b, 0x5adce1e9, 0x4731ad36, 0xf3d9686e, 0x29cb1bd6,
+    0xafe1dd91, 0x077ead44, 0x7f479ca3, 0xbb7aad36, 0x05c454ba, 0xb49e72fe, 0xb426d573, 0xe61d1db2,
+    0xaf517495, 0x29ad07ea, 0x113a20de, 0xb1f9b602, 0x49043cf2, 0xb7fcc613, 0xf284c125, 0xcc48dd0b,
+    0xd29ea8b7, 0xbcf4a99e, 0xbf19e404, 0x22246ccd, 0x491d5ed3, 0x8170812d, 0x81e25837, 0x17a38e09,
+    0x10dea94a, 0xfd7eea0a, 0x60230f5c, 0x6d6fe47e, 0x04443563, 0xe7fc7783, 0x1091f050, 0x0794cc3a,
+    0x154f9cf1, 0x344b5b67, 0x891056c7, 0xca90ffe5, 0x9dea0985, 0xd075e75c, 0x58f12ab6, 0x1bb60376,
+    0x92dca6ba, 0xd0b5261c, 0xfc5607fe, 0x8f14c6eb, 0x095db38b, 0x0df6464f, 0xf0508078, 0xc4f6cef2,
+    0xa524dda5, 0xd9d01182, 0xbe6b75d2, 0x55655c2d, 0x7355e369, 0x22f9d074, 0x408973bb, 0x43a5897d,
+    0x81c1fd52, 0xfe153c0c, 0x6f27f8e5, 0x891f4e55, 0x3a9e2619, 0x5d13b82b, 0x2256f32f, 0xa85b61a4,
+    0x27685ebe, 0xc268037a, 0xd0d0100e, 0x96e1596e, 0x9c45734c, 0x4abeaf45, 0x68aaad64, 0x62f6ff4b,
+    0x43203877, 0x80836e20, 0x8012a654, 0xdde69521, 0x149e3c95, 0x47220b62, 0xd16ef043, 0x0dc7d1ed,
+    0x6096bb7f, 0xecb0b4b8, 0xe15348b9, 0x7e1dfcbe, 0xd0f147d6, 0xfd13cae2, 0x7d1b418a, 0x9a7b4e48,
+    0xf9afd475, 0xb1b06324, 0x8390b7b7, 0x961489dd, 0xc59f682a, 0x21870917, 0x35b97b3d, 0x1973d8d8,
+    0x92cfbf2b, 0x8f90e478, 0x93f54429, 0x7797b0f3, 0x8e44d17d, 0xee28f5ad, 0x77aacdb2, 0xe8418acc,
+    0x977b34d2, 0x313af522, 0x9de5e1dc, 0x4a67744e, 0xa60578ab, 0x9b4f0213, 0x1a6cd1d1, 0xc0220a3f,
+    0xdd0a6b4c, 0xd6bb5ba8, 0x7c52b344, 0xc8540e79, 0x62921558, 0x65f54b34, 0x3d833832, 0x9f89813b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000413159980493905374344947067520481899892752926\
+                          85267576205290549704650361952269459114074325652482205302974450751563959894016 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275,
+    0x4039098a, 0x562dc92a, 0x6fefa30f, 0x4c5f335e, 0x042c455c, 0x18b83b68, 0x2a938a5e, 0x853d7941,
+    0x00000000,
+    0x948d8e33, 0x48b72f7f, 0x472df7ce, 0xd67ccc84, 0xc65783b6, 0x04555a98, 0x62ae601a, 0x4e20cb6f,
+    0xe6b88421, 0x5369550e, 0x1dcb6567, 0x565ff18e, 0x4f37972a, 0x97d48538, 0x7b13a127, 0xdc82a637,
+    0x04e21e34, 0xdeddef44, 0x2a37763a, 0x2d485b52, 0x7175b020, 0x413d07d3, 0xbc787778, 0xde4a3e22,
+    0x36d07042, 0x2c49308b, 0xcaa54a0e, 0x39cacd74, 0x524f54eb, 0xae98341b, 0x6ce4d4a3, 0x38fd2153,
+    0x36c53e77, 0xb2ba6721, 0xa20e85d6, 0x10ec4708, 0x0b33191d, 0x0875a854, 0x8823261f, 0xe293d28a,
+    0x928fd085, 0x83d4d4f6, 0x64293fe8, 0x81cba62e, 0xa750d926, 0x8c8b9688, 0x73a23b11, 0x3d03eb3a,
+    0xc676880e, 0xac3fdaeb, 0x82065e05, 0xd0d7edf3, 0x251eccc5, 0xc1c5f56a, 0xb89ef86f, 0x5f2641fb,
+    0x888f14fd, 0xe9438822, 0xb22d0927, 0x2479d3a3, 0x93ffb46f, 0x5266c85e, 0x4ef8f571, 0x3e15e450,
+    0xff140e1a, 0xeaff4cb7, 0xb9784f7a, 0xaa20b0ed, 0x3ff178db, 0xcec73cc6, 0xcde57f70, 0x86a219e2,
+    0x8b6ba0eb, 0x91ea8945, 0xa47e29b4, 0x50e9b261, 0x17739aaf, 0x83593874, 0x22367d33, 0xd248551e,
+    0xd9e06a33, 0x49d4685f, 0x06b92445, 0x62f49da0, 0x49853439, 0xd7e08117, 0x032d5583, 0x62ffeee7,
+    0x43ca1661, 0x330def9f, 0x2fbd90c1, 0x610fcf78, 0x115f4bab, 0xc1c184b0, 0xfd72caba, 0xeebd3e8f,
+    0x1fb7b368, 0xc741a334, 0x6c082392, 0x7fe8fb40, 0x64c5e574, 0x1164eaf0, 0xe6d283a6, 0x90d456a8,
+    0x65ebf156, 0x456f8047, 0xab24275a, 0x54d0aeac, 0x8a7eb9d4, 0x3235426c, 0x32701573, 0xcb10074a,
+    0x716f7432, 0x69b639ec, 0x120803de, 0x9b5192d3, 0x0a12bdcd, 0x3468c630, 0xc222195f, 0xec033e8a,
+    0x711d1aed, 0x5443da82, 0xc2acee2f, 0x236732d2, 0x3dd723a1, 0x57a7e594, 0x48e3a893, 0xaa80cc37,
+    0xeb221520, 0xc2afa190, 0x884251e5, 0xa9504a33, 0xc9d344a1, 0x7bde1fcc, 0x179d09ea, 0x35af880d,
+    0xb238199d, 0x99e7c04e, 0xf89483db, 0x809f7322, 0x8312040d, 0x88edfcab, 0xb260a1b2, 0xcfb9690c,
+    0x965a3d9a, 0xcb771f3d, 0xb777274e, 0x14744fc0, 0x19d1864d, 0x8da8fee0, 0x9a70a2ae, 0x75f2e043,
+    0x18cebd08, 0x154a42ef, 0x75685b83, 0xc6d3da57, 0x027ae136, 0xc5bd610a, 0x6e49a98b, 0x99024ad2,
+    0x2a5fe685, 0xca847254, 0xb359b9b4, 0xa4181b6d, 0x75a46114, 0xf4b0b9e5, 0x577b3c0f, 0x425c3316,
+    0xf80c1c79, 0x5e7c5c36, 0xd8557f6d, 0x8caf56a0, 0xa3db6284, 0x708ba5cb, 0x149c75de, 0x9530111d,
+    0x7e7b2fc2, 0x9aaa2636, 0x24230da1, 0x510509c8, 0x04f69a83, 0x145bacf6, 0x79dab13b, 0x703d71b9,
+    0x6bba468a, 0xdb37969c, 0xc5877601, 0x1c8423b1, 0x2192be2c, 0xeba1021c, 0x042be806, 0x11d706bf,
+    0x3849b7e8, 0x9f25772d, 0x94d3f08a, 0x13ff1b5d, 0x7b9a9f20, 0x95ba27b8, 0x91f59271, 0x5cb2ae25,
+    0x61f9e828, 0x68e8b5ac, 0x6cbb0a5b, 0xe2147cb1, 0xbc0b4e52, 0xd4bbd6ec, 0x26e1de06, 0x0e819e28,
+    0x5e98405b, 0xadaded5a, 0xff66f58e, 0xa5ca3453, 0xf2988fb6, 0xa8dc9ed7, 0x28ec72ba, 0x27ff6a9f,
+    0x0bde2f8b, 0x1915b2b6, 0x75257424, 0x03094e89, 0x9addce6b, 0xad925bbd, 0x10ac2073, 0xaaa7b450,
+    0xe7effe3f, 0xcbcaa9c0, 0x12248e2d, 0x408996f2, 0x5b4ad436, 0x49d360a8, 0x7f532de6, 0x9ad5ac29,
+    0xc2ca8334, 0x16aafdaa, 0xce1c7cdc, 0xf4eeea9f, 0x4401d384, 0x3c9b4abc, 0xba93ee13, 0x529265e0,
+    0x04cc23b6, 0x0627a1ca, 0x30aeb5fd, 0x4c21c32c, 0xc4ac310d, 0x5417a8fd, 0x1050e9e2, 0x5b16c1fc,
+    0x682bd0e0, 0xf0ca0ada, 0x839772f8, 0x122094c3, 0x844dd573, 0xa8fe50a6, 0x361dc0d8, 0x0a17170b,
+    0x2805ab48, 0x271012f8, 0xe6f8776c, 0x7a6459a6, 0xb0392266, 0xd26b4a4f, 0xfed813f1, 0xa63d7e5b,
+    0x9430f812, 0x9616c22e, 0xed6823a3, 0x9e832636, 0x2136a5e9, 0x358dfb24, 0x143cd5cc, 0x9829bc52,
+    0x9c5cf191, 0xb6fadcb5, 0xc2b15d1e, 0x0748fc13, 0x5b996ad3, 0xbe2595b0, 0xbc91d48f, 0x3a8e3937,
+    0x2d55fc23, 0xd2fd7f7f, 0xe03386eb, 0xf451770e, 0x12d841c6, 0x9453f1a4, 0x486f14ad, 0xb889474e,
+    0xc078ab37, 0x1a298d30, 0x7e045b93, 0x711a392b, 0xeac72e22, 0xdd1cb765, 0xf0aa5dd6, 0x83ba2891,
+    0x4f4bcb60, 0xa3e27727, 0x33bdb29c, 0xe4a07e3b, 0xb3bc24e2, 0x3c8bd072, 0x369d621a, 0x6635a2a3,
+    0x281b508e, 0xb47f3aef, 0x88142503, 0xf4bb91d2, 0xc919fbcc, 0x0739f0a7, 0x41b29abd, 0x264cf7d5,
+    0xca9c068b, 0xf731d53d, 0x27104c41, 0xc75f11db, 0x619b0500, 0x5a3edbcf, 0x2a512594, 0xa1328463,
+    0x202fc3c8, 0x2fbbb540, 0xdc4c11cd, 0xb944e959, 0x161bd583, 0x1377ec40, 0xe610a5ee, 0x64d69e8f,
+    0x4b92ee8a, 0x46bc4097, 0xac85090a, 0xd9a03f36, 0xd3f9691d, 0x79f6bcd6, 0xc6e84a25, 0xeb81c719,
+    0x6da09317, 0x14a02fd9, 0x06c3ecdb, 0xcb8e6452, 0xaa58a7e8, 0x3a7f7b39, 0x25af5d75, 0xa1fa344e,
+    0x067d607f, 0x9e77057c, 0x1bc4feec, 0x1f24d43b, 0xa2178990, 0x261a990d, 0x7cc1b5a9, 0xc6758cf0,
+    0x1b43968b, 0x4b0291e2, 0xe83e4d3a, 0xe9c30de0, 0xff0f2eb4, 0xc26b98bb, 0x6372f1b9, 0x97bb8673,
+    0x2c1a0098, 0x2ad41a0f, 0x76fef816, 0xb6df603f, 0x60cf7f57, 0x18002c28, 0xa9d28b3c, 0x6db8d8fe,
+    0x10e0cfc9, 0xdef1941e, 0xb669b5e5, 0x0ebdbe3e, 0x8db8cb88, 0x84580636, 0x2be5331f, 0x455d0f21,
+    0x71054504, 0xdf1b7535, 0x01936c9b, 0x94e57b2c, 0xc6a1a835, 0x0892d7a2, 0xc20339d9, 0x3bd60330,
+    0xc28fcf92, 0x9610e4a3, 0x261b540b, 0x2f9da3f6, 0x87d5168c, 0x21e25a7d, 0x0953de4d, 0xc90ef814,
+    0xecf681d1, 0x9fb98aa9, 0xe0922935, 0xb1ac1454, 0x39e95f93, 0x7d1c8c55, 0x1562dc89, 0x46ad13ae,
+    0xdf73955b, 0x0c4c551b, 0xadc32d42, 0xef32488a, 0x51f170ad, 0x814f5db2, 0xf4d0a8dd, 0x696213b7,
+    0x4e1c8cef, 0x255ac598, 0x0e648b7b, 0x97037bc2, 0x2f6d7182, 0x54bb3ed6, 0x35ab64a6, 0x5d2b85a0,
+    0x8596d940, 0xd903d457, 0xfbe2de22, 0x279ef87c, 0x4c188d8b, 0xbccb0be8, 0x2fb6c39b, 0xa29ac683,
+    0xccb7b7df, 0x260b57e5, 0xb54e647f, 0xbb1441be, 0x1bc7b936, 0x10ee814d, 0x538cbe3f, 0x0c10020a,
+    0x001d4d52, 0xd213c9aa, 0xfed2ee72, 0x74a2b3fb, 0x962a855b, 0x0ae52d7b, 0x47beec26, 0xbc931175,
+    0x22263cec, 0x620b1e64, 0xe4198a2b, 0x0dd1df2d, 0xbce80b31, 0x0b13e071, 0xb9699d2a, 0xf4ad187b,
+    0xb5479eda, 0xe5edfe8c, 0xe34ac8ae, 0xcc9f152d, 0x0a3d6c40, 0x0f04682b, 0x77a5e6ae, 0x5149aae4,
+    0xa9e089b1, 0xeb2f36b1, 0xca26c3bb, 0x323126f5, 0xabcd6ecc, 0x83269bff, 0x290045cf, 0x40ba5394,
+    0x254dc3fa, 0x7ffaca87, 0x27d90021, 0x4f277326, 0x1eb6189e, 0xafb33053, 0x81915a7e, 0x4208341b,
+    0xfb3520ed, 0x1470815a, 0x104c5b87, 0x9d9da84b, 0x124ab58e, 0x1051d75e, 0x810a210c, 0x7cf20307,
+    0x117be336, 0x5d0bf31d, 0xc4619c5e, 0xd843b29f, 0xeb518db6, 0x0d60b153, 0xa6e034cc, 0xb28b79af,
+    0x11357106, 0xd6aee32c, 0x5fa84a8c, 0x210d6c91, 0xb9713e0d, 0xb81d3c41, 0x154079ad, 0x3d757f63,
+    0x716b3042, 0x0e2b52a1, 0x791a346d, 0x401e7d0a, 0xf8685db6, 0x2b96e2ea, 0xfa4eadf2, 0x9e56d12c,
+    0x3a7ba6c1, 0xf062c2da, 0x461471f6, 0x12259576, 0xad98300e, 0xae9e26fc, 0x4b192368, 0x63d5979c,
+    0x7abff3df, 0x9ecb42ad, 0x29299109, 0x4d2f0413, 0xee5613d2, 0xcac162af, 0xced01a58, 0xbd0a5f60,
+    0x3357bb6d, 0xa891b480, 0x21a4c7e9, 0x3b493597, 0xd391a3e8, 0x09382286, 0xa676e1be, 0x6a3f3e61,
+    0xae4e70b9, 0x3627a826, 0xcf60db9f, 0x902ccdd1, 0x9e8d2323, 0xe29d2337, 0xac73045a, 0xa03dda31,
+    0x1b90f9eb, 0xb016463f, 0x1c6511c2, 0x76fac4e3, 0x0ef5a32e, 0xcb4491a1, 0x28693e1e, 0xb1e17213,
+    0x1d2f4039, 0xc026767a, 0xc28d3753, 0x3815fc8a, 0x85c4303a, 0x0a868513, 0x96067369, 0x4a3ba0d2,
+    0x478e5881, 0x5a21e1fc, 0xf9f1da44, 0x143da836, 0x45a11c62, 0xed4ea25b, 0x0dc02a96, 0x02e4df98,
+    0x719ea64d, 0x3f1236b9, 0x89731f25, 0xd90640d4, 0x18266e4d, 0x2a79c96c, 0xd4fe2386, 0xf32e8412,
+    0x06766ac9, 0x7f4d3c1d, 0xcfab3170, 0x5c160a70, 0x82a272e8, 0x29ac18d2, 0xea6108a3, 0x62ea0bb3,
+    0x588834ac, 0x131af38d, 0x77e41d6c, 0x5cd94106, 0xa43a8ac4, 0xd403dda3, 0xb4564e9c, 0xb790c366,
+    0xe1eaa656, 0x43e4a944, 0x13e9a1c2, 0x0933bbae, 0x797fdabf, 0xbd371a80, 0x27d68d05, 0xc56f612e,
+    0x72ea9f51, 0x366932d6, 0x24de52a1, 0x7716b090, 0x81f0eee4, 0xbfddd53d, 0xc701a4b9, 0x05555425,
+    0x9a3142c9, 0xacc4fb74, 0xb89a5832, 0x697ad4d3, 0x4f4a63f7, 0x3cc03969, 0xd71e23ce, 0xac8324f1,
+    0x762effd7, 0xbd399d67, 0x56eada73, 0x36b0007c, 0x22cb124d, 0x21aa3277, 0xe71aa78f, 0x9a76387f,
+    0x1e380e94, 0x4f8d139a, 0x8b719e8f, 0xabb30903, 0xc5fcc031, 0xdd89a903, 0xfe24b9da, 0x409e6bc3,
+    0x8eb934e0, 0x0dd0e71b, 0x1e6233f3, 0x2435cdc8, 0xd9d3c6ff, 0xcaf226b7, 0x1c13adae, 0x26520a9c,
+    0x9cafba1c, 0xacafdc47, 0x1fa8cac8, 0x1b1f83ea, 0x101263a1, 0x06c785a5, 0x2dafbe95, 0xaae3a9a2,
+    0x1c2a88a9, 0x0279287e, 0x007279da, 0x65f5d81c, 0xa4642b29, 0xcf670082, 0xa4f2a24f, 0xbd145cf4,
+    0xc81f16c6, 0x54051860, 0xd831cc1a, 0x5b407753, 0x956b4f9c, 0x8c10cd15, 0x49511e46, 0x068b7e9f,
+    0xbcbaf723, 0xd9739158, 0xf0ac56c8, 0xf78d1d2e, 0x3b4b851f, 0x0da2e064, 0x0f79d43f, 0x376c0093,
+    0xf5fc46bc, 0x08e64c59, 0x1ef27479, 0xa4311e91, 0x65ae79c7, 0xd6d7f4cc, 0x45a66743, 0x6a8b6995,
+    0x74a6b25c, 0xdfeab071, 0x963e75be, 0xe545ee9b, 0x1745f5ad, 0xbb5eed5c, 0x5cb8fb51, 0x3750a188,
+    0x91799634, 0x7b0f7229, 0xb3fd0242, 0x4fab7e40, 0x1c8f0c77, 0x05d8532d, 0x52a8b827, 0x4f700f68,
+    0x06fa8c8b, 0xce90b354, 0xbb2c8799, 0x35af7cad, 0xb72a70d8, 0xfc6a096b, 0x830fd8d4, 0xce6e56f9,
+    0xaaa5a7f5, 0x7b5184a8, 0xffa57bf6, 0xf92406da, 0xe96b4487, 0x348c3657, 0xc8ff1d2e, 0x97bc724d,
+    0xd0c4bc91, 0x96f21325, 0xcceb7110, 0x84cac6bd, 0x651edf5a, 0x05f8c15e, 0xa3bad18d, 0xebbca325,
+    0xe6074b13, 0x17d6380f, 0x5cba368c, 0x4a0410c1, 0xebf07f34, 0x8106ef38, 0x6c05c93e, 0x4d61da2c,
+    0x3e7fc8f7, 0x3b0c299d, 0x9c6cfa3d, 0x28191d76, 0x689ea53b, 0xe8f585ab, 0xc63e294c, 0x276dc7e0,
+    0xe0365f19, 0xae41dc05, 0x4aa39d80, 0x9277531d, 0x5591cf35, 0x77d9a22a, 0x24626fc2, 0x05ef9166,
+    0x72e62e26, 0x290ac176, 0xa3b13ff9, 0xd971530d, 0xed25f4f0, 0xb8d382c3, 0xd4c2c740, 0x74e37839,
+    0xd5590e1c, 0x110f52c9, 0x3461eb72, 0x1a0caee7, 0x95f7937b, 0x880a1f86, 0x244e5f02, 0xbefb3c24,
+    0x93baeafe, 0x61efd906, 0x029602ce, 0xb01c5ed1, 0x2abd9299, 0xcdf4a39c, 0xe36aece1, 0x64f492ad,
+    0x7bdd1921, 0xfa567180, 0x776a4840, 0x0c6d0ee8, 0x756adfd5, 0x52917f52, 0x3ba2f35c, 0xe49745d8,
+    0x216ebf4a, 0x713f1567, 0xe2faf28b, 0xe0582201, 0x410d1f76, 0xb6655ab7, 0x0d00c7f3, 0x2434027e,
+    0x1225e081, 0xa428f882, 0x9b1f26e9, 0x74821151, 0xdd06bd92, 0x1867b2eb, 0xc55710aa, 0xe77f9285,
+    0xe85233e7, 0x05903af5, 0x8bd9ef52, 0x3ed2b84f, 0x5784859a, 0x14c35ac3, 0x43d4716a, 0x5651edaa,
+    0xde14ffd4, 0x8049355c, 0x3c925cd4, 0x2d7426f6, 0x1bf301e7, 0xe3729c5f, 0x613a6a9f, 0xf566e637,
+    0x6c8037d3, 0x5b65259a, 0xbbb4986b, 0x3870850a, 0x659a3a54, 0x1fe9cbf6, 0x10ee420c, 0xd578905f,
+    0xb3075eac, 0x8f916c5b, 0x2ea9f299, 0x8726b871, 0xb3972671, 0xf2c156b1, 0xa3de1acc, 0x055ba33e,
+    0x05c04a1e, 0xca287cf2, 0x97a70b27, 0xa0e69eee, 0x503d1e66, 0xfbbe8757, 0xe9b7b2d0, 0xa638bb6e,
+    0x9c81d111, 0x4befae82, 0x71d25eb2, 0x11dbd4db, 0x830a2385, 0x8c0c5781, 0xa9d2f4de, 0xc7b2b379,
+    0xcd276248, 0x437797ad, 0xc348f9db, 0x2e0776b4, 0x07529dad, 0xa7bdaceb, 0x973070e7, 0x4bc85cca,
+    0xd601da2c, 0x85d1af32, 0x7195afc1, 0x55799ac7, 0x0d0234a1, 0xa85146a0, 0x61a3ff3c, 0x732519bf,
+    0xac6b88c1, 0x17405a80, 0xb7a36a5b, 0x36761280, 0xcbc9927a, 0x0c5010b4, 0x3a2db7d2, 0x28cf83ac,
+    0x406c0c4d, 0xd6685106, 0xa6b2f267, 0xf63f1790, 0x2dfe683d, 0x186b25b6, 0xc832a022, 0xf1d35424,
+    0xe51c5457, 0x15c1a82b, 0xc866ef91, 0x77b182f6, 0xeb6b1bdb, 0x373415eb, 0x22649822, 0xcde25925,
+    0x2f0da67b, 0x96a3a498, 0xd6f74d97, 0xcd89d411, 0x6ba7b7fd, 0xe431e02e, 0xcefc2631, 0x79ada549,
+    0xf025ba16, 0x2e72e564, 0x412f7db1, 0x41c88c0f, 0x8b26029b, 0x4853d751, 0xa8c4e12d, 0x7e3b737f,
+    0x5356acb3, 0xb8a51a31, 0x114bdcf6, 0x5267b31d, 0x9c3ed4b9, 0xed30d722, 0xa1ca8ce5, 0x040c05b4,
+    0xc0eecc90, 0x30632f2a, 0x898ec579, 0xfa718a42, 0x19d0ffe9, 0x674f87ac, 0x749649fd, 0xe544166e,
+    0xe2bb3216, 0x36d87518, 0x55b52175, 0x99f7b2b8, 0x5eb1d7bc, 0x9f4e62a6, 0xeb69a7c6, 0x2063acbf,
+    0xef1aacbe, 0xb7de0d1d, 0x78f4d2c2, 0xfb55daab, 0x74b3438a, 0x1bec5287, 0x4ac7dcfb, 0x1e2ec542,
+    0x40bb154c, 0x5b1b0acd, 0xb0f288de, 0x8b047a63, 0xe66e6a8a, 0xe2c623a7, 0xa9ac3603, 0xb699aae1,
+    0x3a72b975, 0xf2b58a21, 0x3600f291, 0xc05476fb, 0x40765ca7, 0x9d028caa, 0x9de982fa, 0x769cf792,
+    0xdb4a4583, 0x40ff8137, 0xa2538a99, 0x2d1063ed, 0x97e15fa0, 0x6ee78916, 0xa0495f95, 0x7b9a27f4,
+    0x275522cf, 0xa7019307, 0x21a8e8b1, 0xd4b76474, 0x2594c69d, 0xa210851a, 0x5f139d4a, 0xc55b84d4,
+    0x1c51f4c1, 0xf0239843, 0xf60dcdbb, 0x0168b6d4, 0x86006ed6, 0xa2988e61, 0xf8d0f255, 0x951f5d17,
+    0x14f92134, 0x6848459d, 0xe22baa9d, 0xff12e48d, 0x2740c5a4, 0x07cdc699, 0x5ce91760, 0x1038164e,
+    0xae5683a1, 0x1fe362cb, 0xe09e6839, 0x764d2c42, 0x70299ec4, 0xac0e837a, 0x91b7e55e, 0xdc789ef3,
+    0x8040db35, 0xc776bd2b, 0x6321c8ad, 0x30ec48b9, 0xfb0638b5, 0xf52ee83f, 0xbef2d0bc, 0xc9cc5908,
+    0x672f20d6, 0x19ab90e7, 0x6ebd4899, 0x7cc3ec95, 0x546375a3, 0x9aa98240, 0x58fc3421, 0x8881551a,
+    0xb69ec3ce, 0x70380b8f, 0x27421247, 0xbfd3200e, 0xdc1b40c6, 0x86c815bb, 0x6f5bbab9, 0x6a182520,
+    0x1530425c, 0x3971275a, 0xf8fcdf21, 0x9fe2d1b6, 0xec53b6d9, 0x27d8a36a, 0x5b03f90c, 0x8f8a0e6c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000206579990246952687172473533760240949946376463\
+                          42633788102645274852325180976134729557037162826241102651487225375781979947008 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a,
+    0xa01c84c5, 0x2b16e495, 0x37f7d187, 0xa62f99af, 0x021622ae, 0x0c5c1db4, 0x1549c52f, 0x429ebca0,
+    0x00000000,
+    0x89e4e287, 0xcd8d72c1, 0x7224a933, 0xd7078d53, 0x4d7dd027, 0x5c4cfceb, 0x5572ec58, 0x2496bb04,
+    0x7f5445c1, 0xe9bf3a1a, 0xf4822bdd, 0x886cb883, 0x700e10b1, 0x9385c949, 0x24fb7153, 0x3cbf8807,
+    0x925ada9f, 0xb1628846, 0x94424e8d, 0xa61ed430, 0x583f9e3e, 0x730da736, 0x375a47e7, 0xb44e263b,
+    0xe85f4fe4, 0x7b3e9f53, 0x092472d0, 0xe04d9efa, 0x38bc98df, 0x4beb14b9, 0xc0f653fa, 0xc7e8d0c8,
+    0xbdfa9f71, 0x7763d830, 0xe1c90c0b, 0xd8b895ac, 0xc91e9f6a, 0xce2b2b1e, 0x9c1d4f9c, 0x5b4478a6,
+    0xf42db415, 0x56f15a8a, 0x81061776, 0xd97a50d1, 0x991488e8, 0xf9115ce3, 0x42be89eb, 0x2d5b0fe4,
+    0xf1f72f9f, 0x6c42d54a, 0x5f2b5101, 0xaae6e36f, 0xd5d51156, 0xd5ea2c7b, 0x8f25a547, 0xf2e602e6,
+    0xfc3a4af4, 0x826fd297, 0x1234ee49, 0x776b75e7, 0x00fbddf0, 0xdb58a2df, 0x5cda1ff5, 0xc247bd14,
+    0x70d3f0e6, 0xdbabc6a3, 0x8f22efbf, 0xbefa5249, 0xdb891899, 0x9913b8d5, 0xea305ab4, 0x7ea2615b,
+    0xf17a4354, 0x8d6d9d54, 0x29760e4c, 0xa95effc7, 0x8b1098a6, 0xd69ecd51, 0x99b37aa6, 0x1a9a02bf,
+    0xf38d1370, 0xbde7f13f, 0x3300c104, 0x64f985a4, 0xea6ae833, 0x9db86587, 0x3023f964, 0x54958d92,
+    0xbd6d8c87, 0x486f1442, 0x88a7bae1, 0xd7da6f5c, 0xbc2094c1, 0xe68585f0, 0xe1072381, 0x95a6af5e,
+    0x420a90f2, 0x7517d769, 0xf0f25492, 0x0e928fc4, 0x25ef810d, 0x68d32d67, 0x9127de7c, 0x8c2df182,
+    0x0e9594af, 0x29cc1d35, 0x71b059c3, 0x16b50d9d, 0x5fbd418f, 0x1aee9b7f, 0x72e7e7fb, 0xd1f3c5b5,
+    0xed59bb45, 0x82c65c2c, 0x9f259495, 0x0a4408f3, 0x3fc5eb3e, 0x30bdf077, 0x175be1e4, 0x856f4f3d,
+    0x0716d948, 0xb0ef2763, 0x2e890162, 0x90d34a44, 0x109cde56, 0x2d0973ba, 0x19520de2, 0x71aafbbc,
+    0x91a84df4, 0x70a80fdc, 0x7a42a11c, 0x99562786, 0xfc0f0389, 0xbc6c31f9, 0xff2393f0, 0xe9ea2287,
+    0x91cfba0d, 0xab022095, 0xe3415dc7, 0xeb798d9c, 0x669b666b, 0x8bc275b4, 0x47e36b7b, 0x1867170c,
+    0xc4e8408e, 0xeab398d1, 0x1d6636bf, 0xa0bf0fc1, 0x890b4b74, 0x048d358f, 0x8acd8306, 0x9f832d45,
+    0x2e9dd6a3, 0xe5cef9c2, 0xbadbc974, 0xa749f362, 0x90d6849b, 0x5f055f4e, 0x1535b753, 0x5c1093c7,
+    0x71ca4d31, 0xd6120852, 0x7378db82, 0xe0c22e6c, 0xba03910d, 0xec663f52, 0xe0cf5e24, 0x5a7c3a5f,
+    0xed00d85d, 0xbfac3766, 0xe10f8226, 0x34f93ec9, 0xef307f41, 0xbb6446f4, 0x7d0346a9, 0x668818b8,
+    0x453671db, 0x5ba04a6b, 0x856d2bc5, 0xd53c11a1, 0x9f08f69c, 0x30d7bb61, 0x4cfd9295, 0x11289e0b,
+    0xe04237e5, 0xdb730639, 0x65f1058c, 0x3765bf50, 0x49d99686, 0x5d805a65, 0x07a759a9, 0xdde801f2,
+    0x84510f80, 0xd13cf290, 0x936e03c0, 0x6c759947, 0xb385accc, 0x0705c371, 0x6e27d143, 0x56f0d145,
+    0x459ac026, 0xc50fe152, 0x7eeef68d, 0x9be85ed4, 0x2416c867, 0x42b5d49c, 0xec52fa5a, 0xea4bb0c4,
+    0xc691eb92, 0x1a863e8b, 0xe2a67db5, 0xb2beac41, 0x6bca868b, 0xbfd60c45, 0x8b84ac3a, 0x3b67f2dd,
+    0x302acdb3, 0x5fa7e11c, 0x382a0204, 0x08422088, 0x33565048, 0xb887aaa8, 0x809eaf65, 0x40f86dcb,
+    0x675134d9, 0xf20b6509, 0x18cca29b, 0x43bc8872, 0x7bb09557, 0xb277da72, 0xef6a2c78, 0x97375c37,
+    0x06571415, 0x5b17ebc7, 0x25afb4d1, 0x821b2798, 0x590b62d8, 0x3b2ded25, 0xc7ee7680, 0xebfa313d,
+    0x40fbc542, 0x9a059e59, 0x9e613402, 0x493fdec9, 0x15917c9b, 0xc2a81409, 0x6cc5157a, 0xf2676885,
+    0x2277b42b, 0x10a1a0ed, 0x0c734a74, 0x2245e53c, 0x9f91bb65, 0x046fa744, 0x427283f1, 0xb8d2f460,
+    0x0584e1ce, 0x4564e419, 0x41840c33, 0x0a561e1c, 0x75c933e9, 0xbdf8febe, 0x0631f352, 0x731b78ad,
+    0xbf6ffd9c, 0xeeb844e6, 0x74b64541, 0x314d1eae, 0xa6b578ed, 0xeb50b0c8, 0x6e531a7f, 0xed59de61,
+    0x212d7912, 0xd50dfde9, 0x7cc49cb2, 0x9eff5228, 0xe0885d53, 0xbc1ed64b, 0x3b52dbae, 0x1024f1ea,
+    0x8aa8d6a6, 0xf2963eae, 0x9743763b, 0x5f1847ff, 0x46eb411f, 0x5180e1bd, 0xc3548ec1, 0x69ad1565,
+    0x68dd8739, 0x75ad2248, 0x58de8382, 0x20e4dcc9, 0xd2543c41, 0x21b8f2a6, 0x0af37bed, 0x3ccd2f73,
+    0x91a64e4c, 0x5308915f, 0x72536235, 0x7ac7a18c, 0xae6e5e03, 0xc3a58a34, 0x7c1e73e2, 0x044582fb,
+    0x5c095ed4, 0xd4bf2ecf, 0x1fadb640, 0xf0c02e19, 0xb56fb661, 0x60d1a6fb, 0x4e54bf32, 0xf85485f6,
+    0x65be364b, 0xeb5b2f60, 0x002b4671, 0x5035985e, 0x817c9f0b, 0x9356b923, 0x8cc0478d, 0x399330b5,
+    0xb91be0be, 0x9a7ecd15, 0xd54eb3c1, 0x0c1987d1, 0x42d24164, 0xb5d51aa9, 0xb3368b88, 0x8c35a1e5,
+    0x5d57ea7e, 0xae34217d, 0x928ea9cd, 0xf4d8b659, 0xcd391677, 0x1526efb9, 0x2667ea0a, 0xf414f682,
+    0x8060f7c5, 0x9281ae6c, 0x32ca2a90, 0x69b281b2, 0xec4392f1, 0x4316309c, 0xcd71992b, 0xcaf42400,
+    0x33f1503d, 0xfaa9dc41, 0x37dfdf0d, 0x1ec94144, 0x2c78ca59, 0xf42bb605, 0xbb3e9b66, 0x95d8b290,
+    0x2611d0db, 0x20450199, 0x0688eda0, 0x335d0f5b, 0x778df850, 0xb252bfba, 0x507c8886, 0x65e015c3,
+    0x484da8c5, 0xf6f28da6, 0x09d34d14, 0x08f67255, 0xaa165f94, 0x0761deb8, 0x277b42d2, 0xe49cb22e,
+    0x20e681e3, 0xa36fcec8, 0x701be1ec, 0x38c2630e, 0x2100fa65, 0x3a9e1361, 0x3b91408a, 0xdd659192,
+    0xa16f3274, 0x8fc775a8, 0x60c55635, 0x0ca3608c, 0xb4ca1345, 0xdd621625, 0xfb53294c, 0x3a96b355,
+    0xb16b674f, 0x3f0a2a9a, 0xdc37b45a, 0x9b471eae, 0x5e3ee249, 0x3b864825, 0xe1f5eefb, 0xd408fe77,
+    0xd914eab9, 0xf2949db5, 0x3be33cd0, 0x5177a804, 0x0a12a914, 0xbddc60ad, 0x56218c88, 0x83c10a62,
+    0xa472eaa2, 0x3712ee90, 0xe72a2c2f, 0xccb144f3, 0x48f2fddc, 0x45319646, 0xb1b02a34, 0xa21501f3,
+    0xf3aaa563, 0xdb925e24, 0xe11e000f, 0x16387449, 0x118de3f9, 0xe3782a4e, 0xda56ae68, 0x9b3a4d29,
+    0xfc285343, 0xfc6726b9, 0x42aa6381, 0xa8938473, 0xac8fe8d9, 0xedb39754, 0x9766820b, 0x501d5d23,
+    0xcdf3efd9, 0xe7d56235, 0x7ce4acdb, 0xbd17888f, 0x9b65e305, 0x625d3ef4, 0xb8c18aad, 0x42027499,
+    0x3d4dfc29, 0x70ee9eba, 0x4d7183ff, 0x032bf7de, 0xb758ba40, 0xe952918c, 0xbec5c9e9, 0x092a5411,
+    0x3517f01d, 0xded6cdc8, 0x1a3d6113, 0x59018cf0, 0x8c3501e6, 0x4071eec3, 0x2f15052d, 0x3fa20363,
+    0x7efae07d, 0xd820c097, 0x6f542d0a, 0x8439c289, 0x84411a03, 0x628933b8, 0x4fe89270, 0xb3e09d6d,
+    0xa97b9434, 0x5e0ce4ac, 0xec3af2f9, 0xa808ca9c, 0xe05c5cdc, 0xa12b8db3, 0xf3d0b8fe, 0xd7074db5,
+    0x1da38923, 0x6d152500, 0x9ff51f26, 0xd5df0557, 0x5b0376bf, 0xb897dbd3, 0x023c5ff7, 0x6837af37,
+    0x2615227d, 0x2161c1d3, 0x149cbc50, 0x4d315ebb, 0xc075fe76, 0x6b175ed5, 0xfd4a8a2d, 0x7d99858b,
+    0x8e36394f, 0xa9f46fb1, 0x09d81623, 0x9ece23f3, 0xce99cb9c, 0x3ec872c3, 0x000ed792, 0x291c6ad4,
+    0xb4b824af, 0x613c5fd8, 0x7a718edd, 0xf34c5f3e, 0xcefdd848, 0xc2739374, 0xf037dce5, 0xf630e0d2,
+    0x525db27e, 0xe85c5b91, 0xce32969c, 0x50cd78ba, 0x3d225b43, 0x3e029964, 0xc9bec26f, 0xa6846b83,
+    0x17c7882a, 0x1f9bbe5f, 0x79fa934a, 0x74508a7c, 0x80ca7a88, 0x90b0eb40, 0x794c2c60, 0x2159ac4a,
+    0x9c72f1d5, 0xe11b7a5d, 0x0f5b6fb5, 0x02037564, 0xdc63d732, 0xe944b8d4, 0x09b20b8c, 0x49ff8a93,
+    0x611318c3, 0x47934ad4, 0x5dad5b7f, 0x22d4f604, 0xa4c33063, 0x3dbf26ac, 0xc1fc8761, 0xa8d2f4de,
+    0x6a216dd4, 0x80e24a22, 0x120e22c3, 0xd58f5dc9, 0x75174c77, 0x485046a5, 0x43863a0e, 0x666a9f2e,
+    0x0c7169c7, 0x7f38ee6c, 0x59e92dc3, 0xf83b9b42, 0x3f58e648, 0x1fe5130a, 0x21cd15f6, 0x62034e0f,
+    0x258b4580, 0x9a397ec7, 0x4dede184, 0xd9d7dcfe, 0x0c49b0e4, 0x51c04c71, 0x948e6052, 0x8d50f0e1,
+    0x0a296bd6, 0xa5e95e7b, 0xb24e62d2, 0x1042dfcb, 0xdc93c3df, 0x7d637d3a, 0xa932da3d, 0xc2a27f9e,
+    0xdb970d7d, 0x8c012465, 0x1b3161e2, 0x7da4a188, 0x29e3a30d, 0x3aba1117, 0x6db67ce5, 0x81f9d980,
+    0x9e91c286, 0xb134c01d, 0x4a532ea0, 0x30731525, 0xb1aecfd2, 0x03adb50e, 0xf57d07ee, 0x0c7e4857,
+    0x4d8304c0, 0xb467b0ae, 0x95b9cf9a, 0x4ff19ed5, 0xc1516fa4, 0xfa260af2, 0x3fce5136, 0x235f8472,
+    0x66a25bdf, 0x852cd756, 0x4bc51484, 0xc500b6d4, 0x27318275, 0xaf8bc2ae, 0x264bfa54, 0x1503047c,
+    0x40ebe5f2, 0x2bae22b3, 0xcef43528, 0x71e983ec, 0x73a73e92, 0x08b4d6a5, 0xd7ff5712, 0xeec000ec,
+    0xec393778, 0x31093303, 0x12c1cfad, 0x84da88a6, 0xe0c2c5c9, 0xa5526d8e, 0xb1c12d7d, 0x7d395cfd,
+    0x60ed8f06, 0xb89922f5, 0x4e93ae7f, 0x8efa8267, 0x20bb3db8, 0x4bbb090d, 0x4d314f9c, 0x257f9593,
+    0x43061fbe, 0xe03335a0, 0x3215e663, 0x9940ab2b, 0x1e6d5cd6, 0xbe2cff7e, 0x95478c7b, 0x4d07fd6a,
+    0x92049d12, 0x2f7785c7, 0x240ac1c6, 0x8b5f4f85, 0x311833f8, 0xc29f61da, 0x55ad22e0, 0xefde6ef0,
+    0x41a2838f, 0x5897ae5c, 0xcae9a93a, 0xae109a6c, 0x717ff8dd, 0x0faa1fe7, 0x42a7e69d, 0xb06d9f68,
+    0x24228707, 0xe72961fd, 0x56ada83a, 0x0442a329, 0x7b330211, 0xcd7d9c34, 0xd3e89a21, 0xf3e7a336,
+    0x9e756c8a, 0x7aa7ebe1, 0x2c73c01b, 0xe107c667, 0x6a51be5b, 0x98c7e76d, 0x17123141, 0xcc56e3e4,
+    0x8c1d0b90, 0x80f209fb, 0x9031d928, 0xe0c49442, 0x4e4c0060, 0x3d56812a, 0xf7bd0c65, 0xb52e57cc,
+    0xc0b26294, 0xe6af21bd, 0x1c02e32f, 0x2586ac5a, 0x3dc665b1, 0xdb058fbf, 0x38ba6733, 0xb59d448a,
+    0x922c547c, 0x4d3d287b, 0xcff3d5aa, 0xa50db85d, 0x024582f3, 0xf030e20b, 0x4aca25f7, 0x9eeb7414,
+    0x51f4344c, 0xc474dced, 0x5e4011fa, 0x1e992ba9, 0x6c1e414b, 0xc3e6392d, 0xf7e5632c, 0xb881db4d,
+    0xc48c53c2, 0xbe0814b1, 0xb55f07ff, 0x6dbb7923, 0x7df66790, 0x55eb51eb, 0x94c68bb3, 0x2d4c0f00,
+    0x18f698b4, 0x0b4de7ed, 0x55820e0a, 0x42a722f5, 0x5668fca8, 0xc064f2ea, 0xe528ed5c, 0x11da2616,
+    0x9fac971a, 0x27130efc, 0x012104da, 0x780a7bc2, 0x5a1f96c3, 0xdda34a1c, 0xc86f3a4e, 0x68f89bb0,
+    0x1f725067, 0x19071973, 0xa3078cb2, 0x49926b4b, 0x2d4e35b5, 0xfb37a798, 0xdc4951d4, 0xb43d26d2,
+    0xa2defd22, 0x5dd7d078, 0xa3b8c591, 0x44d18b88, 0x06e95f33, 0x575260e1, 0xf7187e14, 0x262fc583,
+    0x68104b15, 0xa4067692, 0x0ec304fa, 0x6fee7356, 0x263d6762, 0xcd86893c, 0x4c8abda1, 0x0c811789,
+    0x46539cb1, 0xcec5408c, 0x4c2ab1cb, 0xa9243f47, 0x18ee2c1c, 0x8b70e86f, 0xa2a33e38, 0x8d86f246,
+    0xd02c2c16, 0x68dfcf1e, 0x71b49b54, 0x0fab1f50, 0xd7517561, 0x0efbeeb3, 0xa65141e9, 0x888749b2,
+    0x20d932d3, 0x45924f0f, 0xb1d8d0f5, 0xdad52022, 0xe68afc0e, 0x96f697b0, 0x3535000e, 0xfc2fddb4,
+    0xc24d89dd, 0xa9811bb8, 0xe4677c44, 0x08961487, 0xdfdfc929, 0x42e4dc0c, 0x24f1b132, 0x44958684,
+    0x5e64f2d7, 0x1c830ff9, 0x20679343, 0xff129085, 0x6e13768b, 0x7d8bb115, 0xd29bc817, 0xbf2d7bb5,
+    0x57966bfd, 0x76e13a4b, 0x0a8b4577, 0x9ce21f57, 0x105bba48, 0x0550b2c5, 0xf67a355a, 0x3701907f,
+    0x52ab7168, 0x9a295a68, 0xb121d644, 0x1b524e16, 0xa8c7746b, 0x7ebbe2e6, 0xe914b019, 0x90afdcb0,
+    0x079459eb, 0x4156010e, 0xc067c119, 0x13750bd0, 0x89df41fe, 0x819e3d99, 0x2bbfbc10, 0xdb8e318e,
+    0x85bfcea0, 0xd2b4428b, 0x63ee521d, 0x135a722e, 0x5fdda30b, 0x4b7cf4b8, 0xc8cab200, 0x0839edba,
+    0x62fdaae1, 0x1c28838d, 0x8600dfee, 0xbf2c4f38, 0xbafa3d59, 0x7ecf4f37, 0x98cb07cd, 0xebbe2a97,
+    0x7c699e31, 0x9979ada3, 0x762316c1, 0xc1ff2a8f, 0x779e2b61, 0xb475428c, 0xa5cad6b3, 0x1d97e5b9,
+    0x50204e02, 0xbcb744ec, 0x7c914370, 0xc029c02e, 0xb66e9e29, 0x0a832854, 0x541ec76a, 0xe8f66573,
+    0xd32984d7, 0x0488da55, 0xedce27f5, 0x4531aa17, 0x82b097a1, 0x5c4ac87e, 0xb56efc84, 0xf12afd61,
+    0xcc5684bf, 0xaf11ba51, 0x7f1479dc, 0x479aaab4, 0x23fa2305, 0x42b6b939, 0x7b86815f, 0x0b2dfa9f,
+    0x59d20c71, 0x884a046d, 0x441a1fd5, 0xdddd6ada, 0xd5cfe61d, 0x1c4f3e88, 0x9e0e0a93, 0x044623fa,
+    0x1275b7c6, 0x4287daa4, 0xc94c83e7, 0x7dfa728c, 0x42b4d0b2, 0x3a13e10e, 0x9b2e174b, 0x64a0cb6e,
+    0x7fc3c5bd, 0xdad8ae2b, 0x4fe5ee55, 0x589fad4b, 0x097a2180, 0x8fad38f1, 0xb6acd3e1, 0x08230ab8,
+    0x5ff6d10b, 0x49797d98, 0x03f94cb9, 0x77a9ca05, 0x94b1f8e3, 0xb08ab4b1, 0x8a27cb22, 0x13ff859c,
+    0x6eb63147, 0xf9793249, 0x761caf3b, 0x21bba7ad, 0x585a0605, 0x31f1b5da, 0x2053b903, 0x754f3346,
+    0xb38d5b07, 0xad1ecdb5, 0x4bd86fe6, 0x2c2a864c, 0x85d4cf2e, 0x92ef7851, 0x3e38525b, 0x4f7aa14b,
+    0x136860eb, 0x10c2a256, 0x5a4129c0, 0xdac307c3, 0x485d8bd8, 0x33e74b9a, 0xd5f7f13d, 0x89fa0de3,
+    0xe1fcf016, 0xeb946764, 0x86b2e50e, 0x9ce82df8, 0x1c9f618f, 0x36d6b799, 0x102e6bff, 0x77c477d0,
+    0x5aa2d56b, 0xaceef11b, 0xb7ba8481, 0x0b277ab8, 0x2ffc7528, 0x67636983, 0x6f862fe4, 0x2b26f281,
+    0xde302b34, 0xc6339cc1, 0xdf46c90c, 0x0bb8342c, 0x83e0c7b7, 0xbcd33b5d, 0xc6605e03, 0x679d1fa3,
+    0x9e945f85, 0x08318b57, 0x7d31ed97, 0xa6291328, 0x0564b901, 0x7b005e4e, 0xf04f62e3, 0x5c951005,
+    0x430ad545, 0x719ef302, 0xc2a2fbb3, 0x7f20c07d, 0x76c7ec30, 0x26e169b7, 0xe9c9032c, 0x67bfba0e,
+    0xf8612a26, 0xadf90c2a, 0x2ce0e99a, 0x1d4e10d1, 0xd6f9c03e, 0xfcf68705, 0x141d10d1, 0x481b564e,
+    0x48e941cc, 0x7f053432, 0x01088119, 0x147d7e6d, 0x724a0e22, 0xcc1be81b, 0xfc4e986e, 0x1a33cdc7,
+    0x5378d872, 0x8f4363fd, 0x0174bc78, 0x3ef8817c, 0xa51be250, 0x05739f05, 0x10bac9c5, 0x66c43568,
+    0xfd9c6efd, 0xb5d112e1, 0xd7b53099, 0x24913e29, 0xcba39825, 0xd36ee5a7, 0x96593d74, 0xc7ea3975,
+    0xfe4cb606, 0xd8496aff, 0xe97687d5, 0x2f5f6c83, 0xe550e8aa, 0x213dd007, 0x0510988a, 0x3e743091,
+    0xfef55d2b, 0xe58e2a9d, 0xda3bf956, 0xe385c799, 0xc6a28817, 0xa74b8175, 0x9458aad2, 0x948ac661,
+    0x8abe5a29, 0x6e4c3f76, 0x64facb8c, 0x2b9701c9, 0x9e0c01ff, 0x34a468da, 0xbe01c2e7, 0x5a7d7710,
+    0xb6566998, 0xdd46937a, 0xbd8bfd1e, 0xacc45653, 0xfe30a445, 0xac97f3e8, 0xfb95b874, 0x920591cf,
+    0x00000000 }, /* 10**-00000000000000000000000000000000103289995123476343586236766880120474973188231\
+                          71316894051322637426162590488067364778518581413120551325743612687890989973504 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d,
+    0x500e4262, 0x958b724a, 0x9bfbe8c3, 0xd317ccd7, 0x810b1157, 0x062e0eda, 0x0aa4e297, 0xa14f5e4f,
+    0x00000000,
+    0xbbe2a2d5, 0x7d497a20, 0x3cf7e37f, 0xbc275e0f, 0x3af3f73c, 0x62b31c38, 0x93441765, 0x6940404f,
+    0xe12f3106, 0x9ce437b5, 0x0871d573, 0xf12a9589, 0x48432259, 0xe7b7716f, 0x040ac900, 0x1de96195,
+    0x22acf322, 0x3b4a3e42, 0x24560ea0, 0xed4265e2, 0xf4956c35, 0xb77789ed, 0x4ae05c9a, 0x3ee1fa83,
+    0x37787414, 0xfc242b92, 0xc283107b, 0x4d3bbca5, 0xad9775c1, 0x800f15ed, 0xc7d1c213, 0x87e922b4,
+    0x9a04e229, 0x0a68b5f5, 0x159f5915, 0x77d4bf71, 0x9654e36a, 0xcf86dd22, 0x59b8afcf, 0x468640c5,
+    0xb142d525, 0xfdbff920, 0x89889aa9, 0x0a2e4fcc, 0x5c0a0e02, 0x203c06df, 0x69231a55, 0x287753d9,
+    0x1a91cf07, 0xb0db059f, 0xece262b8, 0x5043dc7c, 0x979672fc, 0x7ba58e37, 0x0a1f7044, 0x06af1fe5,
+    0x17d05a98, 0xbde6da5d, 0x9a23ff93, 0x696edede, 0xe947e9a7, 0xaa4fad1b, 0x7ec45f45, 0xbfd7c1e3,
+    0xeec43e9c, 0x33f731c6, 0x270e5ae4, 0xbe052148, 0x62274464, 0x542e7c72, 0xe28ec31f, 0x4dabba85,
+    0xf941add9, 0xe44edd39, 0x48ef7a02, 0xf0951f7f, 0x55553edb, 0x69e8fb7c, 0xcc8c0eb7, 0x4af758a6,
+    0xbd012c88, 0xc7a9e7d6, 0x83e33405, 0xcb599bb7, 0x3fa03484, 0x64d618d7, 0x3549faba, 0xa4b2052e,
+    0xfeb30f7d, 0xd36dd2ea, 0x2136bf6f, 0x5c1263ef, 0x4dec77a2, 0x1c33f9ec, 0x0f02dd8b, 0x325c7c73,
+    0x558301a7, 0x42468037, 0xa97e2267, 0x645fdfdb, 0xcf39651b, 0x7edb9863, 0xc845f4e5, 0xbe2d13c9,
+    0x5abfb44c, 0x444cdafd, 0x7d951442, 0x39287212, 0xcac35b01, 0xfbfb9999, 0xda115f98, 0xafe3b962,
+    0xf5fbd1da, 0xd814fcd0, 0xb803f8f3, 0x9f24dc0d, 0x8a17ca70, 0x03f39167, 0xc41afdbe, 0x10df5d77,
+    0xc36415a7, 0x7ba2fbdb, 0x5ef5868e, 0xc8079be2, 0x6aab9296, 0xda5f1e37, 0x12422550, 0x82bbcde2,
+    0x7168e122, 0x7e2492f8, 0xf4d14ce7, 0xc0f69651, 0x8203690b, 0x005986fc, 0xb602115e, 0x3cfdd130,
+    0xe3398ecf, 0xd46d2fcb, 0x90969982, 0xee4bacac, 0xf9810713, 0x81b6e083, 0xca2b2834, 0x9fdc2638,
+    0x814e6632, 0xec8b031c, 0x391c3b88, 0xd8719af8, 0x90135d47, 0xfc90c4d7, 0xccdbb49c, 0xf8725bc3,
+    0x798c3048, 0xdbe7ec78, 0x195bd3b0, 0x51dfd565, 0xa29d26a2, 0x9189e550, 0xe361f878, 0x15648111,
+    0xc91283e4, 0x82f44d0c, 0xb95088b8, 0xd33750e2, 0x2e40da87, 0x8accf07f, 0x82461e11, 0x58ccdd64,
+    0x97f433a6, 0x78f8c6ad, 0x3671104d, 0x8888cec3, 0x7d83f2f9, 0x892b324d, 0x712fb540, 0xf7c18bbb,
+    0xffa2edf8, 0xd69f9297, 0x9f487f7b, 0xeb9e4dc8, 0xaf3b1394, 0xbc7233c7, 0x0e1b5203, 0x1a76b8b6,
+    0x56254c06, 0xe9a4be30, 0xc7c81098, 0xb7751de2, 0xb39b2940, 0x57202430, 0xf8f143ab, 0x969b7003,
+    0xe17033cc, 0xffbff75e, 0x3c1f03e1, 0xdd43dd10, 0x7ece9433, 0x2987a082, 0x113ecf9b, 0xd8ea0a5b,
+    0x40398bc4, 0x4c8c36ca, 0x45110996, 0x26ebc726, 0x77d95744, 0xe173e0ad, 0x1d47e759, 0x66fa6ca5,
+    0x00ac13a2, 0xe2eea391, 0x20c6c17e, 0x001e500f, 0x42d1c4c7, 0x4e01be5e, 0x3df4014a, 0x20de4be6,
+    0xb3053a15, 0xbffc7f11, 0xcc286c70, 0x4cb4abcc, 0x868d15d3, 0x975279c4, 0xd063aad8, 0x2b0c5565,
+    0x9fd07517, 0x9997d890, 0x3cfb4f7a, 0xa87f9433, 0x04055223, 0x04d10230, 0xa3077e3e, 0xa17c56ca,
+    0xe9023a77, 0xfe54b0d6, 0x0544659b, 0x78a60475, 0xd879e649, 0x00c57b7a, 0x43c50d1a, 0x4cadc1ff,
+    0xdb84e5fb, 0xb10942f1, 0xb875daf0, 0xd8528918, 0xb60cfc8d, 0xc6966beb, 0x88da442b, 0xcee03b14,
+    0x39daa25e, 0xeeb2c3dd, 0xa0bac226, 0xa3f0b64c, 0xe230d6ae, 0x99b54134, 0xcfdba06b, 0xdfb85345,
+    0x9cc6d324, 0x9b96019a, 0x33e73a02, 0xd55e4e9a, 0x42ac97be, 0x840fb938, 0x4ec7cae3, 0x9095bf62,
+    0x2bdb0a0a, 0xf732a4fc, 0xb0b41445, 0x7ebdcd24, 0xdd13a333, 0xa747f977, 0x786be96c, 0x491bf854,
+    0x5c6f91c6, 0xd25a4d07, 0x84143a1f, 0x5587e3d1, 0x2a417685, 0x55c99b8c, 0x13758b16, 0xee69e4b2,
+    0xd2f96157, 0x27c1063d, 0xfe1ab19c, 0x6cf521fd, 0xd82288ac, 0xa870b96e, 0xddbd1781, 0xedc1ae7f,
+    0xc65dc174, 0x55f702c6, 0xe7dd8a32, 0x0a1075ce, 0xdc33eaec, 0xa389fd8b, 0xba8a49f9, 0xd5104991,
+    0xbfc8404d, 0x6980ccb5, 0xc6c32bda, 0xc6ed7896, 0x67382e8f, 0x597f58f4, 0x85d49689, 0x7407a5ae,
+    0x2a489383, 0x6250a3b9, 0xa171f8f7, 0xcf110f4f, 0x8f849a4c, 0xd0faaaa3, 0x8c86623e, 0x2fe49ac9,
+    0xf298e5ff, 0xb463a528, 0x49ada52a, 0x48b07e70, 0x74929a7c, 0x0f877967, 0x7c6f20b7, 0x185c98b2,
+    0x1f420373, 0xb8967640, 0xa23ec354, 0x488bc1e0, 0x72669c9e, 0xaa271f6a, 0x04d71451, 0xe855b014,
+    0x03930e93, 0x9f2a86ec, 0x24daeb53, 0x6b79dadf, 0xc4361a23, 0x99ab62e1, 0xc496b56d, 0xa0eb1e4f,
+    0x6924f493, 0x7bad76d6, 0x1780ddf9, 0x374d3987, 0x39c1f8da, 0x6d31bdb6, 0x265ff3fc, 0xde681bc3,
+    0x2b1d358c, 0x696d41b4, 0x8c300291, 0x4fc37154, 0xed3cf7d0, 0x657f0207, 0xac4d3387, 0xbd329220,
+    0x1bf9db23, 0xa831dc1b, 0xfad7308a, 0x6e46f885, 0xdc734b54, 0xceed38f1, 0xfd5498f2, 0x3c1323de,
+    0x0f2e2918, 0xfe689002, 0x8dbfd40f, 0x072c35e3, 0x739f75e5, 0x0d6c18b4, 0xa7b90bed, 0x911c031e,
+    0x69c258cc, 0xa66ec130, 0xe27e6a9d, 0xb7ea2a41, 0x12716e0a, 0x627b943f, 0xae5d062b, 0xb04d92fb,
+    0xa14a9b8a, 0xabe14b0d, 0x03542ffd, 0xba3358db, 0xaca05f99, 0x51412003, 0x10c98f9b, 0x7f4f8069,
+    0xdf3ec7a3, 0x6073b48f, 0x9bca2c9c, 0x37dee0bf, 0x99c21617, 0x69df75c2, 0xf3598d1c, 0x1a6475f8,
+    0x3113f237, 0x8bcb1bc9, 0xfce29d05, 0x65001016, 0xf8d794e1, 0x7e5e8f6c, 0x82b7d2f0, 0xbc7c053b,
+    0x70a2a2cc, 0x30e580e2, 0x41c2e135, 0x5bcf2bf1, 0xacd1a9b1, 0x08e8eb37, 0xc6a9faf4, 0x83d9736c,
+    0x47140042, 0x3a327abf, 0x0c14c03f, 0x0d29f5a7, 0xef00fb04, 0x125509c6, 0xae2b8b03, 0x4bbf353b,
+    0xa29fe099, 0x51a474af, 0xb6cdb4fd, 0x17f88186, 0xb46ec7d5, 0xa719eb64, 0xd48bbd7c, 0x03e3a8c0,
+    0x4f54fc16, 0x062c9fb9, 0xbef9f4c9, 0x9d74c2fb, 0x26d484b7, 0x130b67e7, 0x3960f153, 0x869e4d99,
+    0xccbf5c1e, 0x5945f850, 0x5a7fcf5b, 0xd3b51e9a, 0x4132e037, 0x8598ea57, 0x90a9755b, 0x843e38b3,
+    0xda5331a4, 0x50c39f38, 0x34f274fa, 0x4784d7b1, 0xdf251354, 0x13ff1d5f, 0x2864460a, 0xc6f9c9c2,
+    0x272a5bdf, 0x08b8781a, 0xe241797d, 0x0a3399b3, 0xa4322eb5, 0x99ef212d, 0x9a8c2025, 0xac6fa8b4,
+    0x18046d58, 0x2e1bdfca, 0x33a8596a, 0x529ecd53, 0xf4c98fa3, 0x77dc92b9, 0xccac428e, 0x9489db0f,
+    0xf60d5e92, 0xeacca415, 0x470453c6, 0x77d9fecb, 0xe582f1c7, 0x238a8128, 0xb798b98f, 0x69520bca,
+    0x6f11faf0, 0x2dbd28a4, 0x876f32bb, 0xfff01678, 0x038d2240, 0xe1eadbac, 0xf21abce3, 0x162c24c9,
+    0xac072325, 0xc3d8a357, 0xd845742f, 0x0790e127, 0x5ac685c4, 0xc3a33f8e, 0x51002057, 0x83a047ed,
+    0xd0950b8e, 0x6b725dfd, 0xf7370d8d, 0xde3bfb5f, 0xce007d4e, 0x92ce2a02, 0x5aaf5376, 0x3f933d1e,
+    0x639c42b5, 0xb05af388, 0x0bc8df33, 0x6190a340, 0x5d5f4409, 0x36d8e958, 0x41ca3d71, 0x4c8a9dd9,
+    0xb3d5ac17, 0xca7bc1df, 0xb93b0a9d, 0xd89f36d6, 0xe1729068, 0xcff72835, 0x5d67f1aa, 0x0fed8aff,
+    0x5f5204a8, 0xa6a09b30, 0x7cff964b, 0x410d8edd, 0x270adff9, 0xdf1e2b39, 0xb728a39a, 0x6e98fdcb,
+    0xeedc34d9, 0x6d626a3a, 0x55b9734a, 0x5fb4e5fd, 0xff5db917, 0x38d8acce, 0x1a5c7055, 0x5562b326,
+    0x820a0d04, 0x91626c9c, 0xf0fb475f, 0x5912b568, 0x99330109, 0x4f1a91c4, 0x09c408b5, 0xda6afdab,
+    0xb72df942, 0xc6c89e7a, 0x82ad6d7c, 0xba0e48ef, 0x9b34b660, 0xb9ae3b28, 0x41ff9052, 0xf88db275,
+    0x3b15757e, 0x99568113, 0x029280cf, 0x249c2fe2, 0x36f67bdc, 0xe38c5961, 0x9a64a38c, 0xb55f02fa,
+    0x13aa9802, 0xae7d4325, 0x8198546d, 0xe41e53fd, 0xb29a8d4e, 0xe5dfbee9, 0xe2e1099c, 0x424bf6df,
+    0x22b2f99f, 0x5fdfcf37, 0x9fd89e82, 0x878c6193, 0xbecf90c1, 0xd905c8d9, 0xae523cec, 0xf7c0c40f,
+    0x9afd6c61, 0x7a00d8e7, 0xa16d9884, 0xd8c569e8, 0x08080461, 0x0fa59395, 0xcadb7d60, 0x72b3b9b9,
+    0x872d7296, 0xfdb15255, 0x30d62213, 0x247d2f12, 0xac6eaaa8, 0xe74c1e40, 0x094ea9a0, 0xd3acf172,
+    0xf25f394c, 0xdfc214a2, 0xd87c5874, 0xca8853ac, 0xb63edaeb, 0x5e001d05, 0x68fdd489, 0x47e36560,
+    0x996f9d94, 0xad855281, 0xb05cf112, 0x42634669, 0xe860408e, 0x239ec080, 0x8b2d00a5, 0x34ab704a,
+    0x9dbd052d, 0xf30c36f9, 0x55707628, 0xd95c15e7, 0x584ad3d9, 0xd5d2d169, 0xa91a7b2a, 0x1f51f75b,
+    0x31761a09, 0x7c9d9d40, 0x4afb5c04, 0xb05196d3, 0x0c0716bf, 0x758aea45, 0xb7084468, 0xfa6ef533,
+    0xf3bebf55, 0x1ab9fa6c, 0x1026f6df, 0x76a8a60d, 0xd81d7aac, 0x4bee86f3, 0x24e440e3, 0x38664777,
+    0x6fad153e, 0x5098cc49, 0x74a40440, 0x5ef1e076, 0xaeb9e642, 0xe3a1a98d, 0x72c11652, 0x443bc57b,
+    0x5492c7ce, 0x0f470134, 0x690a5d41, 0xac8834c3, 0xd2c1ecce, 0xcea09073, 0xd182bc24, 0xcf77225a,
+    0x9a97715d, 0x6247599a, 0xc1a43004, 0xab531a04, 0x88353970, 0xbdc571b0, 0x6238c1fa, 0x2362da0a,
+    0x0e269db7, 0x4438bba2, 0xc6bb3f18, 0xa65a4943, 0x230a68e3, 0x93c7c0fe, 0xd22a6496, 0x18007f7b,
+    0xccde8766, 0x55ce4980, 0xedac788c, 0xe92823d8, 0x831a4cdf, 0xfd003f40, 0x93dada36, 0x86a7003a,
+    0xc43e4d1d, 0x4e83c808, 0xfe6653c8, 0xf5eac8c2, 0x0689247c, 0x85b74033, 0xd999c338, 0x021e1bb0,
+    0x19ed8360, 0x576db75e, 0x6824cd26, 0xf5896850, 0x63968ec3, 0x0b8d460a, 0x0bcd91ef, 0xb96dfe82,
+    0x4ce24d47, 0x5148d62a, 0x0f1197f7, 0x7ed5d3bb, 0xb865ed2f, 0xfd5b3bce, 0x4c0d5d85, 0xfe5cac54,
+    0x683bbfa2, 0x59fcf73f, 0xfe77120b, 0x48ae51dc, 0xfd54cc11, 0x46665625, 0xe8c0afb7, 0x99732116,
+    0xb640b538, 0x4f14a952, 0x7a6ee908, 0x89c3c28f, 0x479126f3, 0x91ef680e, 0x51cfcea7, 0x7567a81b,
+    0xed5f4c2b, 0x6d03cc1e, 0x954b21ae, 0xa0bf4707, 0xa62cacb1, 0x2918926d, 0xd64d2b65, 0x8aaa6f5b,
+    0x010249a3, 0x92249e3d, 0x58fa261d, 0xbfdafd73, 0x5f138ddd, 0x5240b114, 0xeaa071a3, 0xd14f9d7c,
+    0x951a0476, 0x732302ff, 0x42f8a957, 0x4560dda8, 0x82fcb4a1, 0x19bbdfea, 0xaea2b6bd, 0x3361174f,
+    0xaf240edc, 0x0311f0f7, 0xb53ea0d9, 0xeaf175fc, 0xc73e26c9, 0x69233ec5, 0x165158d9, 0xdac3bcfb,
+    0x9a43e9eb, 0x576ad747, 0x70bc6b7d, 0x4ed29f35, 0xfbaeb366, 0xddfcb792, 0x2ef8f525, 0xb4845695,
+    0x5d7b28a4, 0x54af2849, 0x86bcc87d, 0xa3ddec2c, 0x6dbe5ea7, 0x4ee6a3be, 0x6441b6fa, 0xbb468616,
+    0x746cbed1, 0xfad44c82, 0x21966ca7, 0xedf71c9e, 0x123b3236, 0x868de289, 0xbfcf6c7c, 0x7c02b05d,
+    0x9b0b82ce, 0xffdf98b8, 0x60a207a2, 0x5a2b6db6, 0xec2e67e8, 0x6b1d6c5d, 0x5ba7face, 0x8f359473,
+    0xdb839972, 0x9b83c8b9, 0x8caae5bc, 0x635d9136, 0x4c2ca955, 0xc10d1123, 0x3765f32c, 0x8a35f620,
+    0x3b55468b, 0xd605c816, 0x32f02d8a, 0x04453916, 0xfa8908ea, 0x93346384, 0xf3ccadbf, 0x90f06b61,
+    0xb2550012, 0xe348bd93, 0xcceec707, 0x953b9bf8, 0x4c1f7e45, 0xca0ad5c4, 0xd7abe32d, 0x133d3e9a,
+    0x772c7b0c, 0x5a039ee4, 0xe6a3d9c4, 0x98d0c419, 0xe6ed64b7, 0xe5c95b09, 0x9cd54e75, 0x924b687d,
+    0x55ff7f3b, 0x650fa0e5, 0xd94c65db, 0xdf82745b, 0x5bb54685, 0x6014a50e, 0x6ee3a8e3, 0x6a54ff13,
+    0x8d56735d, 0xe4adea80, 0x406dfc0a, 0x68e3a3ef, 0xc5f38d98, 0x7627c9b5, 0xc577e8d7, 0x684a9551,
+    0x1011ddfa, 0xa4ebee41, 0x5dc61941, 0xacef5972, 0xdead05f7, 0x478c060a, 0xe878ec08, 0x5def3e4a,
+    0xa9a825b4, 0xab669b94, 0xb955f49c, 0xc175c759, 0xf8ebaf1f, 0xd5f20eec, 0xf82a82f0, 0x9aa31cc2,
+    0xcf434bf9, 0xf9ef45d3, 0x7f789abb, 0xf5765278, 0x7ed4a5ef, 0x84bf0ea8, 0x69e850df, 0x91b15937,
+    0xd8df5db4, 0xd33620e8, 0x4e904eb6, 0xee88bb2e, 0xe8b261aa, 0xbaa0c9f6, 0xa6be2df8, 0x912c93b7,
+    0x2d095c44, 0xfd472754, 0x1c0c696f, 0x5184d1f5, 0xafade571, 0x0d6dbfb7, 0x4e1ee3dd, 0x7b9b0512,
+    0xe084e5cd, 0x69085725, 0x7cae0472, 0xd7cb0989, 0x81df1bf0, 0xf3bbbab7, 0xe9e3192e, 0x21187247,
+    0x2a8683da, 0x264307d6, 0x04e6f714, 0xf77c86a7, 0x5b0daa39, 0xba2a75f4, 0x24ba7832, 0xdc388ac0,
+    0xd2e4d427, 0xb67b4c2c, 0x5527f1aa, 0xb316affb, 0x8bcc23b8, 0xad3abf1e, 0xd2693728, 0x0ea75aaf,
+    0xa7336a97, 0x3f6a5025, 0x30c8810d, 0x8d90c7cc, 0x17641863, 0x330590e8, 0x68773c11, 0x033914de,
+    0x49080cd7, 0xb897a37b, 0x298f2e62, 0x98c1dc23, 0x522080bc, 0xfcf9cb89, 0x265c6326, 0x0943a1d3,
+    0xa50a171e, 0x72674c36, 0xbcf9ceaa, 0x77d9d092, 0x990c0c19, 0x165fa526, 0x3b0c0364, 0x4be534e8,
+    0xe251af0c, 0x0c858d21, 0xddefdfe6, 0x6dc9128b, 0x681fb0f4, 0x74be01d6, 0xe8b1f298, 0x55447f44,
+    0xa478e394, 0x3d0819e7, 0xca562774, 0x2799850a, 0x40e59e16, 0x20ca573d, 0x883f13aa, 0xdb758f45,
+    0x81cb4e99, 0xbcd8f870, 0x7b877234, 0x4a7b8cad, 0x7d07e5cd, 0x8eff3026, 0x2a1bb723, 0x71100bfa,
+    0xce066cf1, 0xf5e2b32a, 0x2b46ac47, 0xe0c1f420, 0x0821a27f, 0x3a4e9fdd, 0xc65bede3, 0x1af14f0b,
+    0xa4bf9275, 0x390d1d7b, 0xacdfae0f, 0x5276d187, 0xf14fe616, 0x793ef1bb, 0xb04678d1, 0xa7eff90f,
+    0x53de8a3d, 0x6dbe3d31, 0x9d2c4bb0, 0x25e5162b, 0x4853e3b9, 0xa045662e, 0x622280de, 0x70960b26,
+    0x7e452a76, 0x89fdfa21, 0x49019b24, 0x90d6548d, 0xeb0c8d2d, 0x87b0bbc5, 0x6311b7f0, 0x94740221,
+    0xe157456a, 0xac2b888e, 0x27062463, 0x086228da, 0xc1321065, 0x7481acbf, 0xd943bf65, 0xf401de79,
+    0xc4512042, 0xc8a9db87, 0xe8865e2b, 0xefac1004, 0x8287849b, 0x8d961ac0, 0x30d58e90, 0xfe5cb39a,
+    0x1da8b812, 0xa8907603, 0x7c1699a4, 0xdccc5ee6, 0x525ef0e2, 0x03c1509e, 0x4b93bd12, 0x8a4a796a,
+    0x04e5ea6e, 0xab197389, 0xb1b37040, 0x325fb10a, 0xc5b37432, 0x4bc6f2b7, 0xbebb3100, 0x7110e6aa,
+    0x7ac81fe8, 0x189baf74, 0x1ddb1959, 0x89f87919, 0xc0ebfbe9, 0xfdefc6bd, 0x08fde6cf, 0xdfb8cd4e,
+    0x3739f5c0, 0x649f326c, 0x8dbf102d, 0xdd287cf3, 0x37f66fb3, 0xd8b91fec, 0xcfa6893e, 0xea7f4043,
+    0x00000000 }, /* 10**-00000000000000000000000000000000051644997561738171793118383440060237486594115\
+                          85658447025661318713081295244033682389259290706560275662871806343945494986752 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e,
+    0xa8072131, 0x4ac5b925, 0x4dfdf461, 0xe98be66b, 0xc08588ab, 0x8317076d, 0x0552714b, 0xd0a7af27,
+    0x00000000,
+    0x9b1413b0, 0x71990a78, 0x0ca98716, 0x0a38b6a3, 0xf8cd574e, 0x9ab59691, 0x4c54041c, 0x0d2341fa,
+    0x27b8a1fc, 0x7b6fcc8b, 0x4b24a1e3, 0xedcc3358, 0xbeae50d2, 0x0845aefb, 0x8b71b82c, 0xc5f1f2ba,
+    0x341ce8ad, 0xb347d8f4, 0x39fccd14, 0x418085fe, 0xc1062568, 0x8a38279d, 0x1f37b8a4, 0x54915a1d,
+    0xc1635928, 0x6d7a274b, 0x59fffd7c, 0x2e5d6399, 0xe75d052d, 0xc1c85bc6, 0x3e6c55b3, 0x23efe557,
+    0x6d6e9283, 0x2c224f32, 0x40544a54, 0x8966d68d, 0x259ac012, 0x9ad2fcee, 0x8d0da5ff, 0xa0d8cee5,
+    0xdb8e4cd6, 0x7c1899e4, 0x6b25207f, 0xefb0f5d5, 0xc27150ac, 0xe839afbd, 0xd1b3fc79, 0x8ae658d8,
+    0xe6d9f98c, 0x253b0059, 0x4f17df68, 0xedd51632, 0xe44713f8, 0x83d244fc, 0xb68bf210, 0xa4435fa8,
+    0xfb754983, 0x80c060df, 0xa285c02e, 0xab633b8f, 0xe1e74cdf, 0xa96e992a, 0x679cb72c, 0x72a9023a,
+    0xdcee8b10, 0xadb70677, 0x098cf99d, 0x2240193d, 0xe3f63339, 0xfbbb8f9a, 0x7acee094, 0x85433da4,
+    0x6731542c, 0x941c2e96, 0xf96d7452, 0x1e39ef02, 0x45e52161, 0xbe8f7b2a, 0xbbd38375, 0x21fb4895,
+    0x7d9fa2ef, 0x6d369a47, 0x95f98a1e, 0xd0fb6534, 0xbd1b2b14, 0xe9fc6c97, 0x076dce90, 0xd834ae1f,
+    0xa64d6ffe, 0x4099024c, 0x784a647d, 0xb6e9b038, 0xd7e08853, 0xa2a9a59a, 0x19c94314, 0x62e7f02e,
+    0x17285061, 0x60c95a63, 0xba863f09, 0x6972021f, 0xe98a800c, 0x5c3c8409, 0x0497b133, 0x291d0ba7,
+    0x8042efbd, 0xd0d2b1c8, 0xf81be274, 0x6cd59cb9, 0x5a24e9cf, 0x0e5c3d1e, 0x6cb995d1, 0x2fafdcd1,
+    0xe7d5d160, 0xb296629c, 0x35d3f166, 0x78c29a84, 0xe1e9e360, 0x8c763557, 0x42148c48, 0x904bdd61,
+    0x13ccf318, 0xe08d49c7, 0xea98c1fd, 0x7e16cc71, 0x232255ba, 0x0181da7d, 0x23c5f4c7, 0x679344cf,
+    0x07638c21, 0xe79c8d65, 0xdfe52738, 0xa5462f50, 0x2995e4bc, 0x9fd4791c, 0xd8a06dd2, 0x11e1040e,
+    0x154f1903, 0x6fca7bed, 0x7e0a8df2, 0x20669794, 0xd4fb9aa1, 0x013d25a1, 0xf6375bdf, 0x1643fef2,
+    0x8a286a21, 0x147a1fa4, 0xd30c9deb, 0xa89d4aeb, 0xa97e4ede, 0x94e832e9, 0x56ae1bf5, 0x6db42a8f,
+    0x8b2a086e, 0xf4b8b01c, 0x196d20eb, 0x3f4e1fe0, 0x4b294b3d, 0x38dcca09, 0x4ebfd7fd, 0x8fbfa3b7,
+    0x4511980c, 0x09c8f8d2, 0x4738329f, 0x2d892dd3, 0xe41b5c0b, 0x342ce34f, 0xb451ec80, 0xbf50b14e,
+    0xa98a08e3, 0x1a270c69, 0xa242363a, 0x468c4f20, 0x374a79b8, 0x654e389b, 0x41b3a073, 0x8096fb2e,
+    0x06c8a634, 0x4d852d5e, 0x4b4366c3, 0x920edb0f, 0xbb152257, 0x6fb421c0, 0xdc3079f3, 0x96b4e71c,
+    0x867c9155, 0xcd3ae2da, 0x38d3ad45, 0x12cf4445, 0x19294cf5, 0x367824c5, 0x270b1715, 0x179c049a,
+    0x75cd5154, 0x9a4f9413, 0xb081a3a9, 0x86337815, 0x2c49f9df, 0x25a0db13, 0xbf98a2c4, 0x30821cfe,
+    0xc3a1585b, 0xff2da0e9, 0xa55f8efa, 0xabab0e62, 0x1d82d721, 0x50d9c416, 0xdea98862, 0x2b8ffa0e,
+    0x852f9689, 0x2f40e8a9, 0x61857785, 0x314cfa35, 0xdab96d37, 0x2bf2bf84, 0xb4a0ce76, 0x37a86606,
+    0x19f3016c, 0x37c71f8a, 0xb39592c4, 0xe3242d41, 0xef70fdb8, 0x48267c92, 0xf2c15f40, 0x08442151,
+    0x5c165d88, 0x8bdd8c3e, 0x5eb1d95e, 0x3222b99d, 0x08ab84d5, 0xaf72f292, 0xae445b78, 0x13c0c3ad,
+    0xdcb9d8a8, 0x91163283, 0x6790e15b, 0x652f35b6, 0x7afe5300, 0xaa2138fc, 0x64898e08, 0xd56dc31a,
+    0xf967cb3c, 0x9f2c4f05, 0x3f348008, 0xa944ef08, 0x9b73f870, 0xfec1d361, 0x93387b70, 0xdb649ed4,
+    0x0ac83dfe, 0x21e7ab55, 0x23573c10, 0xdaaf3478, 0x562d70ae, 0x7ca4f5fe, 0xadb32986, 0x656b32fb,
+    0x10ced742, 0xbafafd86, 0xfecbf3b0, 0xabaf50c7, 0xcdc37ea2, 0xb6d34be7, 0xd1bf7bc2, 0xfc950603,
+    0x388d294d, 0x8fda68fe, 0xc6080831, 0x63be0c9f, 0x99ed1788, 0x0096d93c, 0xe30f3e10, 0xf7012f76,
+    0x394c7dee, 0xd62f34d8, 0x5a57892d, 0xdb8ba317, 0xeafcf8a1, 0x2673ad28, 0xfe0b6db3, 0xc7f56f9e,
+    0xb4604b83, 0x22dfa817, 0xbbd1ad02, 0x8be28541, 0x92d67b07, 0x8673eac1, 0x092e0faa, 0x092ee2bf,
+    0xd94c2c56, 0xbe044aea, 0x0e218051, 0x1b03d4b0, 0xbccff2d5, 0x45c8b21e, 0x8792ed5d, 0xbd73302d,
+    0x820230a2, 0x59818d19, 0x066d5b0d, 0xa10107c3, 0x17efd64f, 0x609ff096, 0x23a57651, 0x08bc18cd,
+    0x22b6a9e3, 0x4451688b, 0x44949817, 0x953c25cb, 0xeb8f6793, 0x7e77fb12, 0x81b65d82, 0x6a386810,
+    0xb4304504, 0x8d639b69, 0x1f7d1b92, 0xd1e6033e, 0xbad49004, 0x2d954c95, 0xb7751417, 0xe2d1fb51,
+    0x98be6cbf, 0x4635be51, 0x0d483c07, 0x0f5e19b1, 0x6b68e3f6, 0x11b86fe1, 0x78121680, 0x029911b3,
+    0x339e2583, 0x6e6299a6, 0xa7a2cb9b, 0x74c8db29, 0xab39ca3d, 0xc572e42a, 0xb4ff2a9e, 0xb7c55609,
+    0x00709248, 0xdd563989, 0x10d17408, 0xc576f708, 0x79978439, 0xc3995760, 0xe7d8750f, 0x7009e2a2,
+    0x1da9d4ce, 0xa47427f5, 0xd3d74861, 0xb5d50b2c, 0x30da69fb, 0xaee6dcbb, 0x214bd7f5, 0x16af1629,
+    0x620ae10d, 0xcfeceb4d, 0x2b6d02f3, 0x66aaeca0, 0x6fdc52ad, 0xffa85c72, 0xfc777041, 0xe8db903a,
+    0x778cd721, 0x6ddd1329, 0x1f916a1f, 0xc4642ea6, 0xc419f8ec, 0x68686b54, 0x3256fad8, 0xb31d905b,
+    0x258422c0, 0x51c48939, 0xd9c3c904, 0x0119f63d, 0x33beef29, 0x5e2aa156, 0x0e50e73f, 0xe2ae39b2,
+    0xbad2771e, 0xbd62bc3a, 0x48cb585b, 0xac45c751, 0x4fff3a49, 0x898578c9, 0x30eb7ed7, 0x767576c9,
+    0x32620462, 0x4ab1ce7d, 0xd7a520bf, 0x57c286ea, 0x9652b699, 0x6c0f09c2, 0x7e41eba2, 0x234767c4,
+    0x62459bad, 0xcbcffc79, 0x4c631a18, 0x7679d430, 0xeb31363a, 0x319a39fd, 0x47a37ad1, 0x0861323c,
+    0x0009e636, 0xa373f78d, 0xbd432d6a, 0x31cfa3c1, 0xa0a75e55, 0x63f70aff, 0x904e2999, 0x50639550,
+    0xf2f3d26c, 0x07430dae, 0xa67475a6, 0x5848bfff, 0xe874b51a, 0x04394c44, 0x657ee5d4, 0x54793ed1,
+    0x6994c570, 0x13448acf, 0x05b02eb6, 0xcf6a5b73, 0x475a8080, 0x4be59756, 0x492fdeed, 0x581670ca,
+    0x81d85d54, 0x374f01da, 0x848f4dca, 0xdcf88127, 0x0fd82e1e, 0x7410bd64, 0x25885980, 0x20cf5b1f,
+    0xee33b6ad, 0x0cec1eab, 0x6ce054d7, 0xe2a8e89e, 0xa5811ffd, 0x99cacf84, 0x128f65a2, 0xa09775c5,
+    0x16a13c7e, 0x4f473aaa, 0xba16ab35, 0x29dcf24c, 0xd68eece4, 0xb44124f1, 0xbdb1549c, 0x8838df83,
+    0xc4a8ac9c, 0xe553f269, 0x28758f86, 0xcec609cf, 0xf1ba20b0, 0x09253383, 0xbf72e788, 0x0064f445,
+    0xbf04de97, 0x94a33e3e, 0xffb6b8ae, 0x647ad93a, 0x9d989df2, 0x900969a2, 0x16030ada, 0x1719b5b6,
+    0xa9f72b5d, 0x061af74c, 0xe14a1e7c, 0xf26ed61b, 0xbad0a184, 0xb0b2fad4, 0x0689ffde, 0xacec05a0,
+    0x8e8d623b, 0xb1ac20bf, 0x1d02cdf4, 0x3e454dab, 0xf373e2d5, 0xf3c6f690, 0xe4a89e0b, 0x5a020aab,
+    0x046739e1, 0x49b09005, 0xeee47271, 0x215baff0, 0x425bb7ba, 0x76cc3b38, 0x632232e2, 0xafa5f136,
+    0xbbc380d6, 0x2156fe1a, 0xbad75d06, 0xe7046a76, 0x46a0f8fd, 0x7969dc47, 0x1bc1ba00, 0x64b7b37e,
+    0x23dc760b, 0x246e2b58, 0x0dc58a95, 0x63922723, 0x4fdf3ac6, 0x5b82e274, 0x75088c6b, 0x13cc21f2,
+    0x20325038, 0xc654e0f3, 0xecbcf3ed, 0xae3a6c3b, 0x9bbfe5fb, 0xab829a95, 0x9daa35bb, 0xa1bad5e7,
+    0xbfdca1fa, 0x4c686733, 0x79b6442e, 0x165a51e0, 0xab31a762, 0xd781bb50, 0x05aa2fa1, 0x4fbe87cf,
+    0xfda9a920, 0x90c034a9, 0xf0f94e2b, 0xcbb53855, 0x8608c2f4, 0xc7a3d606, 0x4b364278, 0x5aa5ff53,
+    0x2470c41b, 0x071dae8e, 0xf0782fe6, 0x34ad74d7, 0xb0f9ec13, 0x4a16374c, 0x0ffd1534, 0xee1ac880,
+    0x99b97516, 0xf66d087d, 0x701ddea0, 0xb496c32b, 0xdf3ebebe, 0x6d119da3, 0x3755fadf, 0xda814d23,
+    0xab79c0af, 0x6fb94282, 0x6682cfd0, 0x92a058e9, 0xf7e7c3b0, 0x8644ce50, 0x8260eeb6, 0x1b3af26b,
+    0x53e1e9eb, 0x2072ff68, 0xcc0d72bd, 0x65f81609, 0x9b105e00, 0xb210da02, 0xae3f5b0d, 0x695b470a,
+    0xd80160cd, 0x8c0cd425, 0xb24ec1b0, 0xcbdb9b09, 0xa483568e, 0x8fe47397, 0xe096c16c, 0x7979c2cf,
+    0xc8d38e55, 0x2418364d, 0xee728b1a, 0x7e1f7c85, 0x87c6b6b1, 0xd357187a, 0xc734bbe2, 0xceb087bf,
+    0x3da2da00, 0x32d93174, 0xd368cd42, 0x4f28da28, 0x449a867c, 0x176d2eab, 0xfa47eb72, 0xf865d625,
+    0x80ca01bb, 0x486523e5, 0x9ce1f152, 0x2f362371, 0x2b3ed700, 0xcd00c649, 0xefe19e14, 0xa24ac53c,
+    0x2738f03b, 0x5fcc69f5, 0x8393128c, 0x00160db5, 0x39bb5f9f, 0x8222945e, 0x550377dc, 0x48e07e64,
+    0x22265175, 0xe5830de5, 0x68b939ca, 0x7d67a2a9, 0x7895aa49, 0x9a5c4529, 0xa72bbf1d, 0xd0dee018,
+    0xa0dc6c41, 0x154f7f21, 0x302a5bcd, 0x8af11401, 0xc8a66ed7, 0x6bba770e, 0x1efbe6a7, 0x1221d437,
+    0xd9a2ccb5, 0xdb124e5e, 0x3cfc5c73, 0xe1b5f537, 0xa1163eb8, 0xc3c701f2, 0x2bea9636, 0x74c6a07b,
+    0x0c7c16ac, 0x2d28b75e, 0xa7834886, 0x9ebe5ae4, 0x727b6ec9, 0xeb8e538b, 0x81890e40, 0xe89f571e,
+    0x112fe7d8, 0xfa5a5639, 0x0143921c, 0xb6bf57ef, 0xf10d065b, 0x62f3ac5a, 0x1b5a4c71, 0xfbc1abfb,
+    0x312c87f1, 0x5bae8b63, 0xd06cafb5, 0x338d2878, 0x535d271d, 0xdd3a9ab4, 0xb498a533, 0x63d935fd,
+    0x9e15ca2b, 0xcf02e1ce, 0x29245539, 0x5138d158, 0x0f18356f, 0x8f0e67d9, 0x2262fb9e, 0x91ce68a6,
+    0x6825a880, 0xb04e7a44, 0x8cb1c079, 0x3c2f99dd, 0x5ded41d6, 0x309a3ffe, 0x769de042, 0xc93611d7,
+    0xd0c6ee5c, 0xdf33a918, 0x5812b6f1, 0x3ee869c6, 0x50286b22, 0x25e914a3, 0x75bdcd14, 0xa175f73b,
+    0xde7ce2c6, 0xa95fb152, 0x0c06b93f, 0xf558e40d, 0xca1f1496, 0x58a0ba97, 0xccbd3826, 0xf5b5d8e0,
+    0x027ad0af, 0xef4fa0b6, 0x64415112, 0x09bc386b, 0x8c4d188e, 0xab46aa1c, 0x82ebc332, 0xea4af825,
+    0x2757e565, 0xe853a107, 0xebcadcc0, 0x22c8eaa3, 0xb02caf8b, 0x74073877, 0xe1e166ed, 0xccacdaf7,
+    0x666d23c6, 0xf001adf7, 0xded7e13e, 0x3a36bfbf, 0x2e0063ff, 0x4942d83f, 0xe93127a4, 0x51666bc5,
+    0xa3a444f2, 0x68021b8a, 0xef48ed92, 0x61bf0ef7, 0x35aac799, 0x00ea99a0, 0x9be27877, 0x80adb0e1,
+    0x3d703cbb, 0x46998def, 0xddb7f1d7, 0xfbdcd450, 0x7c8f7142, 0x7b4bdb53, 0xdea13b95, 0x3d791dc7,
+    0xaa816ec3, 0xb4ca4384, 0x19bf26b3, 0xb93d7f86, 0xe02fcc82, 0x705e4f8b, 0x1b86595a, 0x44afd1f5,
+    0xc975ace8, 0xd6db5b9a, 0x8bbf58bf, 0x73c139ee, 0x30404a85, 0x95060138, 0x2f38d0e5, 0x29322b54,
+    0x231652f2, 0x441196d8, 0x0e117ff7, 0x103b0352, 0x6369ff93, 0x91f259e5, 0x9c90bd0c, 0x4a04aee2,
+    0xbcdf95f9, 0x86aa6261, 0x1fc41a27, 0xf30336ac, 0x964935c8, 0xc3463138, 0x5c1c056c, 0x76b4223c,
+    0xf4ff4165, 0x9ed59df2, 0x597c31e1, 0x99e603dd, 0xfef396d2, 0x1369a178, 0x19b0927b, 0xf388a984,
+    0x05d52b94, 0xbdd0d6ba, 0x3f72224b, 0x9c8e6884, 0xf5a36955, 0xd23c68b4, 0xb7cd104d, 0x13a7de1c,
+    0xf4a3cff8, 0x5a03ae58, 0x29950a63, 0xebe54ea6, 0x0be11cb5, 0x23e5d393, 0x2c6865bb, 0xf5ad74e3,
+    0x995c86b7, 0x7c4e9200, 0xab5933d8, 0xa3b9c611, 0x3fc85992, 0x78032f0e, 0x21868a7b, 0x34bca2fb,
+    0xe34f7097, 0x65472d66, 0x83738323, 0x39e70858, 0xcdca56ac, 0xe778baef, 0xda491ad4, 0xd00a449d,
+    0xd3d5b9f1, 0x77c95a7a, 0x61e1cbe7, 0x2db2698b, 0x1944ccfc, 0x8eed0150, 0xc6f582c4, 0xc07e7f11,
+    0x8cafe2d0, 0x2bb5c994, 0xe418da5d, 0x11f7d06f, 0x9add6641, 0xa738589e, 0x77ce7550, 0x2f263035,
+    0xba91ab04, 0x70dd5aed, 0x455213c9, 0xb52811c5, 0xdfcee223, 0x5b15f7f2, 0x6c6e92e1, 0x7d96442d,
+    0x8658a80d, 0xab2b4e4b, 0xeb5c4e16, 0xb6104472, 0x675b06ca, 0xea5b70e5, 0x64061d20, 0xac2deeb9,
+    0x1f8d4fe6, 0x8e787001, 0x9897338b, 0xf4809db3, 0x6a455936, 0x058ec30a, 0x884527b7, 0xc3ce47b5,
+    0x3ec899d6, 0x1dc07733, 0x7d47a02f, 0xf0339c06, 0x6808c821, 0x43a5d511, 0x30608d3c, 0x4d44d0d6,
+    0x1340eafd, 0xd8aff8ef, 0x28853555, 0xa05f2829, 0x94d406f0, 0x28bb60f0, 0x787f9417, 0x9cc4534a,
+    0xda90106a, 0x72fbcc3e, 0x51ffcc92, 0x1de1aa03, 0x8738c8c4, 0xffdd0419, 0x9b60cfcd, 0x5363ae06,
+    0x87a2dadb, 0xb06e42b3, 0x7270d0c2, 0x74bec166, 0xce1ae70c, 0xe6c9b6b0, 0x9df2d382, 0x155fdba1,
+    0x78b05dec, 0x17f4e818, 0xcc0fbfce, 0x3e5008e8, 0x93d40b20, 0x0af6de68, 0x7cb61da7, 0xf685b500,
+    0x34816ff1, 0x0c405609, 0x76b33c10, 0xa676d7f2, 0xb04f3d29, 0xa847d891, 0x4c3595a5, 0x63be332c,
+    0x8d50c195, 0x9aa5747b, 0xda36e5b7, 0xc2e969a5, 0xcd37e996, 0x6a2af011, 0x46e35110, 0x482fa9a2,
+    0xa8fa9ce2, 0x92319752, 0x7d26e531, 0xbe12dc06, 0x175751d7, 0x6619dae6, 0x889c5f44, 0x0b6e799e,
+    0xd21f5948, 0xb6fe4c8f, 0xea7a177f, 0x28baca1a, 0x5809a6ca, 0xf8f6552e, 0x799a722d, 0xf1011253,
+    0xcf7d07b6, 0x5bd1fc80, 0x9c3b4388, 0x729a6aaa, 0xcaa81f3c, 0x8db5978b, 0x6d07f65b, 0x4e7f471b,
+    0xfcd7532d, 0x899f4b2a, 0x83ce5e89, 0x0213317f, 0x221cada9, 0x075cb8ae, 0x6f7b41af, 0x106161a2,
+    0xbafad04e, 0x55322ac8, 0xf7cd08a4, 0xc6c81f28, 0xcffbaeb8, 0x213cd3ed, 0xbc257285, 0xe37ada87,
+    0xd0a29305, 0xa0ac0f64, 0xac250245, 0x568f5530, 0x56ef9676, 0xe79d160b, 0xfd760d3f, 0x2c56aff8,
+    0x674a4ca7, 0x5cb5fed1, 0xc59ae756, 0xfddef02c, 0x100fc38a, 0xe5763748, 0xb7b71fad, 0x8074cbad,
+    0xbf21f5b6, 0x9f48aa1b, 0xd406884a, 0xc9a08dd4, 0xb0610cf2, 0x12fd2869, 0x3e19de93, 0x270961b1,
+    0x3662dbb4, 0xa7026edc, 0x3638688c, 0xa36040c9, 0x3fa888a8, 0x1c7249af, 0x4ddb0199, 0x6f7c44a6,
+    0xf91c3db6, 0x1c8ffe86, 0xf6f9f6cc, 0xc47531f5, 0x77bd45b0, 0xb543da90, 0x4693ef4d, 0x006e3dce,
+    0x7dc546a7, 0x6d06765f, 0x9ccb7f2a, 0x947e9242, 0x22c0ca45, 0x8786fdd0, 0xeefcfd24, 0x15c9e5cb,
+    0xa868acb2, 0x099d8960, 0x66581157, 0xc7c769d7, 0xca9f725b, 0x1a5f211c, 0xa72ce6b0, 0x7414d752,
+    0x9c39fc21, 0x939e3528, 0x57711a49, 0xa18103c1, 0xba9b7b21, 0xd9776ff5, 0x01ffc947, 0xe7775cfc,
+    0x730c7195, 0x0e586a36, 0xa78df541, 0x16059c89, 0xe4ab4290, 0x139bbd58, 0x2988e15a, 0xaf70efe7,
+    0xe0852b6a, 0xf8a29b07, 0xbd2bf591, 0xadd37cb3, 0x53fe82ed, 0xd45d09ac, 0xaddd41f1, 0x9cec6da3,
+    0x00000000 }, /* 10**-00000000000000000000000000000000025822498780869085896559191720030118743297057\
+                          92829223512830659356540647622016841194629645353280137831435903171972747493376 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27,
+    0x54039098, 0xa562dc92, 0xa6fefa30, 0xf4c5f335, 0xe042c455, 0xc18b83b6, 0x82a938a5, 0xe853d793,
+    0x00000000,
+    0x8ce3e1d2, 0x40aa9645, 0x0a8d2e36, 0x135cdbb2, 0x20b64203, 0x9602252a, 0xb30f096b, 0x9062fc8e,
+    0xd1ab118a, 0xde4d4214, 0xf01205c5, 0x3c51ddf7, 0x5fe06074, 0x57f3b039, 0xadb51209, 0xda21fbe8,
+    0xc8b2745b, 0x9f446f57, 0x3ea02c6a, 0xb587cb29, 0x64735998, 0x3d6405cd, 0xa6d1457c, 0xb35343e5,
+    0x5317037e, 0xd2428b21, 0xbd35f02f, 0x2d3cf447, 0x3924418b, 0x3796b0cc, 0x455430ee, 0xb27fd7c2,
+    0x9bf63bd5, 0xf9795261, 0x0966900f, 0x6e65d1ad, 0xf3de7b7b, 0xdb5b8057, 0xf09c6aeb, 0x1547481d,
+    0x475209d6, 0xe57be6d8, 0xf6117474, 0xdbd1c8db, 0x9b403bdb, 0xb0de1ae2, 0x33397647, 0xf22d631b,
+    0xe15c7456, 0x6250f89a, 0x2ebefde7, 0x260a73ee, 0x82b552be, 0xc217debe, 0xe4a4ba21, 0xcd8c7340,
+    0x51951e40, 0x8614eb60, 0x24361523, 0x2ad9087a, 0xc643cb3f, 0x4cc41016, 0x40723396, 0x35ca2b84,
+    0x41b8cabf, 0x2f2143a0, 0x92049faf, 0xac148a83, 0x0122cce3, 0xe9b617b3, 0xf30a32e6, 0x06c5a6f1,
+    0x9aa2f38a, 0x4684c20c, 0x339c4b74, 0x1f573b51, 0xcb7ee5d7, 0x1bcff321, 0x1e699208, 0xa1bea11c,
+    0x68e42c22, 0xb0b827ab, 0x76c9b9c4, 0x0bd0d2f2, 0xbbf68a3c, 0xd2a863b8, 0x23d4882c, 0xf51393c2,
+    0x2caf3e13, 0xe82f4d66, 0x2f722264, 0x32e1e481, 0x9b77c542, 0x7a609034, 0xd05b0d98, 0x5b9c8a11,
+    0x24867136, 0xeb1669cd, 0xab701eb2, 0xcb2c7b8a, 0x59bce304, 0x85c95c7f, 0xffb72498, 0xb653208d,
+    0x8e1a41d4, 0x825ec947, 0x9dd3e395, 0x9296fde8, 0x717d6a9b, 0xd990068f, 0x80838d2a, 0xc0235b73,
+    0x815f833e, 0xb4493eb8, 0x9efbc3ec, 0x7b08fb10, 0x7bd93c94, 0x33f7e540, 0xf9d8e08f, 0x4f4c48b0,
+    0x0865d36e, 0xdd1dbd52, 0xb5fdc5a3, 0x0e9e2d21, 0x04eeeb94, 0xf78bfcdd, 0x24d2754f, 0x9de588f1,
+    0xd75b41f1, 0x29d279c3, 0x9f14a27a, 0x33185704, 0x1d66b0d4, 0x632ee99c, 0xd74dbf38, 0xcc4c3d41,
+    0x38a213c9, 0x56599c35, 0x48267650, 0xa472e119, 0x6639f7e4, 0x999184a5, 0x7e2a2001, 0x4609a6aa,
+    0x98c10f9c, 0xe8a42de3, 0x0b5150b8, 0xc0417969, 0xeb2dcb9c, 0x9e020ede, 0x6a36bb67, 0xee2d2f97,
+    0x217e5adb, 0xb57241af, 0xddf18e03, 0x5c89a1c5, 0xca617fef, 0x89ad557a, 0x13dbef77, 0x40411eb5,
+    0x1a3c747f, 0x2acb9552, 0xbf674d0c, 0x64188fef, 0xbf014262, 0x6ff4427b, 0x79b33f54, 0xe58d3585,
+    0x8ade6db5, 0x5bf622c0, 0x9d940d13, 0x41f14c93, 0xf5132782, 0x6c571851, 0x0ce39339, 0x43cb73b4,
+    0x426aa299, 0x8b89b181, 0xc79c44d3, 0xb92ad00f, 0x77a42404, 0xd92e1d29, 0x1dea2ef8, 0x0ee44ab3,
+    0x6ecdcbe7, 0xa1b80084, 0x8fe036e9, 0xd32b0a21, 0x765e491d, 0x3f806fc9, 0x28b7958e, 0xe0ff9c8a,
+    0x28474e57, 0xb2de189a, 0x8a143ee2, 0xe08bed9c, 0xf816a3bd, 0x67a2020f, 0x9cc383c6, 0x41974e88,
+    0xa4f755dd, 0x4015d3f6, 0xa462adb9, 0x651b0130, 0xd5b42423, 0x7292a690, 0x1a2ae2ef, 0xa74bebc4,
+    0xff2cf28f, 0x81c3df46, 0x1b6fac4d, 0x6d66e9ba, 0x6d18af88, 0x126775b8, 0x72aeb45d, 0x0ac86591,
+    0x6d3e797c, 0x3f893339, 0x6a11036b, 0x1fe4317a, 0x2b66b704, 0x771a2b5f, 0x7d07ad57, 0xefc00f36,
+    0x05ff90a7, 0x122a7309, 0xa8a87ccb, 0x16b4f1d6, 0x3715af97, 0xc8110f60, 0x33dbab47, 0xb33589ac,
+    0xb2a98deb, 0x38f8f99f, 0x412e0b0e, 0x18dafd37, 0x965d75c6, 0xc8155b36, 0x516f7387, 0x2eab1ed3,
+    0x87b805a1, 0xb1163384, 0x4b68d5b3, 0x9dd6bce3, 0x6a31ac4d, 0x740327cc, 0x5c857748, 0x5c871ede,
+    0x994f3d65, 0x5d5693a4, 0xcdb72745, 0x2e01fbce, 0x99956aa3, 0xad0a2c1e, 0xfe0478d6, 0x977ac6bc,
+    0x463eafaf, 0x41e4c451, 0x8ac9012e, 0x26e7968d, 0x7d18a26c, 0x92bbd93a, 0x19147009, 0xbf66b610,
+    0x72e19995, 0xb2020678, 0xabcb18aa, 0xdc911d28, 0xa31c52e7, 0xa7506cad, 0xfc308e70, 0xc59daed0,
+    0x5526b57b, 0xad170b0b, 0x030c53b4, 0x7c36365e, 0x3a737cf6, 0x76217544, 0x46e5ce02, 0x3e0dca80,
+    0x67a1cc4c, 0xa99d52d1, 0x68024d49, 0xa141a3cf, 0x562a83d8, 0x340766a5, 0xd089ed5c, 0x1db9c73c,
+    0x49174482, 0xb2cc2d56, 0x57fcac5a, 0x8a4ecd72, 0xfc716584, 0xa9880eb2, 0xc9fe1490, 0xac1f7dba,
+    0x2d180c49, 0x00bf1e4c, 0xc9454942, 0x2b14a05b, 0x13517e76, 0xe3750b75, 0xdf866de6, 0xd326b297,
+    0xfb8b0862, 0x038fed8b, 0xa31fa4d4, 0xc23a1c2b, 0x4aa56e61, 0x902e61ac, 0x433c4eae, 0x1592eddd,
+    0x039ed9a5, 0x9aeedab1, 0x6c452767, 0xbfeb512c, 0xdaa3e14d, 0xa2adb8bf, 0x6c380d4f, 0x579b05cb,
+    0x768ef7a8, 0x3db41f52, 0x85374692, 0x76043c65, 0x3f51283a, 0xcabfbb28, 0xa1276daf, 0xece4b0f8,
+    0x9e8cae7b, 0xcb9f3fc3, 0xd9c600ec, 0xcfeb944e, 0x99dca7a2, 0xd66a144b, 0x22b036b7, 0x57a76d31,
+    0x4917bede, 0xe5e0ca89, 0xd2713c32, 0x04756ece, 0x5d435b24, 0x6aeda08d, 0xc1108841, 0xdbe75502,
+    0x8dd7bd51, 0xadee8734, 0x379ae83b, 0x8d1c81c6, 0xfc31fa84, 0xfd17730c, 0x416f063c, 0x61943e70,
+    0x7dce9942, 0xccbb8daf, 0x0d733833, 0x8f3dd6f5, 0xe76fadf4, 0x6a78138c, 0x88a6ca07, 0x26be548f,
+    0x99826da4, 0xd9c5b773, 0x62a2d0c5, 0x2e060c3e, 0xd774e84c, 0x1d7ab645, 0x6444ea36, 0xe10aa311,
+    0x669d502e, 0xa232894d, 0x28dd4751, 0x344c1ada, 0xea554ce7, 0xc2b2ac29, 0x8c236ff7, 0x161dd0eb,
+    0x6385a4d0, 0x244d5fba, 0xa9424e11, 0x6667d5a9, 0x99f7b714, 0xc31f3602, 0x47fc374f, 0x65cd2783,
+    0x2795ac7f, 0x19e72ca4, 0x6e5ddcdf, 0x237da59b, 0xeb5327b6, 0x918ebb25, 0x45ded50a, 0x92b7497c,
+    0x2cabd789, 0x28c2ec91, 0x697f0c17, 0xf42b14a0, 0xeebc28ce, 0x362a9c7b, 0x4fd1504a, 0x065c3a7b,
+    0x7edd85de, 0xb5dca970, 0xf9ef1cdf, 0x9f40037b, 0xd077ca68, 0x4c13346c, 0x0441e432, 0x5c78cae0,
+    0x573ddc4c, 0x3e6c4e7d, 0xc59134d8, 0x8c69fdfc, 0xf8c5dea0, 0x5566f166, 0x0de7c1c6, 0x380e7c50,
+    0x2ea46450, 0xf9fe1ec9, 0x60be8084, 0xa760a992, 0x4883e425, 0xca051172, 0x6c85607b, 0x8e893a03,
+    0x0fe84dec, 0x89715bcc, 0x9d1201f5, 0xb182cd8e, 0xc365a5c2, 0xbd28dec6, 0xf7215bf1, 0x04810542,
+    0x57958235, 0xe764e9c3, 0xf087e166, 0x1fa3e17f, 0xd7864e68, 0xbf16600f, 0x7e7254b7, 0x5c0fed4d,
+    0x1092182b, 0x843b6e29, 0x006ccb13, 0x3afef90b, 0x03ad79fe, 0x471ca7f3, 0xcf3870e7, 0xcfdbf6b5,
+    0x5a9d62d1, 0xc09f0c59, 0x1898aead, 0x27ee480d, 0x613271ee, 0xa5bfefe6, 0x193ff1b9, 0x64e40174,
+    0x33ff1b6d, 0x1f9de652, 0xf19440ac, 0xe747c307, 0xea484311, 0x73d306bb, 0xf191bb6d, 0xda0fed5d,
+    0xee78deba, 0xf27827ef, 0x2a691f62, 0xd0873aab, 0x1c24a482, 0xa8d35b2f, 0xdae682d2, 0x991f1561,
+    0x25721869, 0xf492771a, 0x4f6a18fb, 0xca3c61df, 0x1963f431, 0xdc7be514, 0xa035330e, 0xfb63179c,
+    0x7749fa8b, 0xd5e5756b, 0x5fab1a03, 0x9c2a2f96, 0x1c03100e, 0xe9b257df, 0xe5a89002, 0xb9bc3911,
+    0x569e92c1, 0x6721b889, 0xaede294e, 0x594d024f, 0x1e5eb79f, 0x07e54050, 0xb961271d, 0x7e43b728,
+    0xbfaca644, 0xbfcf0f3b, 0x69682ca7, 0x55f4656f, 0xeee0bf64, 0xeeb509a9, 0xf74ef150, 0x8c81afa1,
+    0xe3523f85, 0x0077fb7a, 0x4afb7a4e, 0x0f051794, 0x4269c026, 0x0ae95984, 0x5f009381, 0x911e2c3f,
+    0x27e8f053, 0x56ab39ff, 0x5a201ce1, 0x15e353ad, 0x83fcd329, 0x78c0328b, 0xe4d59e2b, 0x5befa711,
+    0xbde17255, 0x6164e467, 0x4eb3aa54, 0xddc9ece7, 0x8a38ec12, 0x16c69564, 0x1bf594f8, 0xa532d10e,
+    0xe546a08f, 0x977b1c4c, 0xcbdee1c6, 0xb35c1955, 0x7bebf714, 0x2b256eb9, 0xb1b088a1, 0x5bc67159,
+    0x862a6ae9, 0x00ae0e0e, 0x9dd7347c, 0x26421b7a, 0xc31ca6a9, 0x38dd687f, 0x2489f901, 0xa40fa0db,
+    0xa0306738, 0x4ea954b0, 0x477b7b5b, 0x24f6778d, 0xc64cc425, 0x4deb80fb, 0x35ca2f8f, 0x81aa951b,
+    0x03ff7242, 0xbd9eef7d, 0x67173e87, 0xf8b114a3, 0x38fcbd75, 0x14f3580e, 0x88cb9e16, 0xdababa32,
+    0x98148d09, 0x0ed15b03, 0x0412c239, 0x93e7152a, 0x641fb59d, 0xe5215dc6, 0x5cb6a1fe, 0xcc6a8629,
+    0x8281c2c8, 0x51df8b5f, 0x2aa58c1a, 0xb869c0d2, 0xc1555da0, 0xb7faf8cc, 0x16ea79df, 0x82d2f396,
+    0xa2e58968, 0x05242f65, 0xf479ca48, 0xe2afaf98, 0xdd966a77, 0x17066959, 0x9e31deb1, 0xd6f359fb,
+    0xbb653d81, 0x4ca5266e, 0x8d4586cb, 0x877d21f7, 0xba9c1cc6, 0x933d3232, 0x41505545, 0xa4eb28c2,
+    0x567f132e, 0x187c37eb, 0x12271af7, 0x1d8aae8a, 0xd8ac76e9, 0xf75f747c, 0xf528181e, 0xd3e87844,
+    0x8203cc99, 0x6451c806, 0x107897ed, 0x83422f68, 0x5e5b3ff4, 0xdcafdd12, 0xfcf75180, 0xebba0591,
+    0xf6d19037, 0x377e6c09, 0x64739756, 0x4196d822, 0x68ac47b2, 0xc48267da, 0xd2a22db6, 0xc40702fa,
+    0xeaced4a9, 0x921a6e8b, 0xe7bfd30c, 0x283964e5, 0x32dfadc0, 0x1ee2201b, 0x58e490f6, 0xfb6d1286,
+    0x9c7bcb6c, 0x86e1fab9, 0x1c389f18, 0x4e7a943b, 0xbc78f790, 0xe73ebcc3, 0x8ce061cf, 0xf41a6d4e,
+    0x1a387758, 0xbcbfc075, 0xd0871469, 0x72e428d1, 0x661b5c6a, 0x5688f554, 0x147276e4, 0xfe897621,
+    0x94cdd42b, 0xff7200dd, 0x0d33ca68, 0x7a50cc48, 0x6a058e7f, 0x548d03d4, 0x67af216c, 0x172a43e7,
+    0x29525488, 0x959cc12c, 0x1efcd2fb, 0x3a440ea1, 0xfb48b29f, 0x7ec236e4, 0x96a331ac, 0xe35ddd34,
+    0x93a2e489, 0x32681ceb, 0xe18283ac, 0x23370aae, 0x572e2661, 0x78d0cf0a, 0xe97e9b1d, 0x6d82e43a,
+    0xd2ca81b9, 0xbd79dd9a, 0x6be4c49a, 0x2bf7d381, 0x9c9b6dd9, 0x72801078, 0xc41e03a0, 0x25a44fcf,
+    0x4d3ffbaa, 0x935fcec5, 0xe9c9bcb8, 0x25a06e6b, 0xe3495f8d, 0x0f9026be, 0xae3464ad, 0x2129dfc8,
+    0x208e3c3b, 0x4734642c, 0xe4399b7a, 0x511fb625, 0x35bb1a17, 0x596aba32, 0x76ec3a9d, 0x656e737a,
+    0xfa7a03c4, 0x15dcf4ad, 0x8e881b12, 0x3fa9a343, 0x34fee1ef, 0x659e0bab, 0x5afd1f1d, 0x8c571afd,
+    0xba4f6771, 0xb4137d1b, 0x6eda98e4, 0xd1ea335c, 0xf4cfd923, 0xb800ef14, 0x4b18f4ad, 0xd9f1767b,
+    0x3af7fc68, 0xe311612a, 0x18f53faf, 0x3c94d86d, 0x6e9315c3, 0xa20ad299, 0x9b9a4f5e, 0xa1d0507f,
+    0xbf167fc1, 0x27adf283, 0xe30ce2b8, 0x60823d1e, 0xa5d80075, 0x952d9ad9, 0x144a3304, 0x6c9951c4,
+    0xdea5f4a4, 0x15a8c6a0, 0x7cb8b00e, 0x4387725a, 0x6b144914, 0x5e406537, 0xafde2916, 0x678931a8,
+    0xd9d3d9b0, 0x9fd2c0f1, 0xc422e1ad, 0x5d1b7a89, 0xe7c660e1, 0x94f0a07d, 0x80005a37, 0xc6caa294,
+    0x352acade, 0xa76cca34, 0x09b529d0, 0x1457bad3, 0xe26dbb6b, 0x787b3d3d, 0x3992143d, 0x8ccbde0f,
+    0x5e05ad58, 0x2946bb46, 0xd1f2a732, 0xab3ea0e0, 0x3c4e24ee, 0x7fa25173, 0xa06be177, 0x20c2f98e,
+    0xd9e49f3b, 0x53908fed, 0x0081ab2e, 0xfe311860, 0xf14201af, 0xa2a343f5, 0x7ccdf434, 0x18caf7a6,
+    0x91034430, 0x010a312b, 0x3264b66f, 0xec0fa7c4, 0x34a63cfd, 0x3301178d, 0x0cd3ef93, 0x058b146e,
+    0xe3cb4c7e, 0x58e17332, 0x28e7cb56, 0x4c5cd1a6, 0x13d7fb8d, 0x6b41eb75, 0xc6dafa0e, 0xf6e75501,
+    0x47f10e4b, 0x06fa73ca, 0x82c7f225, 0xf7c7ecec, 0x0b4e2b93, 0x6b7bd4b6, 0xc7ff0536, 0xf8feabd4,
+    0x62b5360a, 0xa57fbe04, 0x09d95fbe, 0x6c4110a0, 0x04bc5847, 0xff8b3a4d, 0x405cafa5, 0x76facd20,
+    0x28f4b70e, 0x330b3627, 0xc4a0bb8e, 0x4add7b00, 0xee3d6719, 0x7d0f92df, 0x315394aa, 0x7958fd69,
+    0x946fedf1, 0xf330cee2, 0x16d5e09a, 0x58453970, 0x2e2bfa4d, 0xbd06bd73, 0xe3632165, 0xb434f92f,
+    0xe36cf5e3, 0x71744b65, 0x2d3dd542, 0x99163ac1, 0xd7b9b09e, 0x2bddd4a6, 0x72937acb, 0x2cf768cf,
+    0xbc97abdb, 0x8eb5fb54, 0xa8e29f02, 0x8e679d83, 0xdeaad9d8, 0x494da87d, 0x03c25c5f, 0x575b2dde,
+    0x64bb83d1, 0x3ec9c995, 0xad99fd18, 0xd7e54bc4, 0xe4687139, 0x96723bf6, 0x9a104fac, 0xf44d5053,
+    0x7fafc961, 0xa089f947, 0x63aeba8c, 0x9ea4c304, 0x7810d629, 0x0258d374, 0x2f5a1fd9, 0x737c25d6,
+    0x8b19c46b, 0x50107714, 0x39dc1ee2, 0xe2736642, 0xf1dc905b, 0xbd294ed4, 0xf5e823a4, 0x166a0f43,
+    0xd859b799, 0x02e10ff7, 0xb9519bbb, 0x63734564, 0x1b7677ff, 0x2f31993d, 0x0e824b69, 0x283a1ae1,
+    0x367a9370, 0x9389c12f, 0x1051586a, 0xf60ab38a, 0x06952e3e, 0x7cfc3ad9, 0x58706f09, 0xe183e61b,
+    0x3787a8d6, 0x1bc037ba, 0x74402d4f, 0x7ac2a460, 0xcebf380c, 0x6c47bd08, 0x3cd2b073, 0xf1adac0f,
+    0x59009db9, 0x95121868, 0x9463b3d3, 0xd0535a95, 0x90ffb19c, 0x1fbf265f, 0x29437b95, 0x4f1dd011,
+    0xd1e3f5da, 0x035549a1, 0xaa5d4dbc, 0x702c2668, 0x90fe9356, 0xc1227fc1, 0xad329cb2, 0x352b25b5,
+    0xe80486c3, 0x847d82da, 0x10688806, 0x94905269, 0x7e463273, 0xea24faaa, 0x74717a76, 0x91396368,
+    0x2eb82538, 0x61479927, 0x1afd32ab, 0x5643e349, 0x3d750551, 0xc3b089e1, 0x8acd9739, 0xccbfae8f,
+    0x4e672c35, 0x87eee687, 0x0f0861df, 0x7e030585, 0x815e5bd8, 0x8da468f9, 0x3c56e6bc, 0x245e44a8,
+    0x0721aa80, 0x507ff6c5, 0x20f95dbd, 0x38e0deee, 0x7723672f, 0xf7781134, 0xe3f60345, 0xbdc523c0,
+    0x502f3bea, 0x4d8aed76, 0x0ef8f7a3, 0x58c2d620, 0xcd51a84e, 0xbda2b093, 0xa92265dd, 0x25ae362a,
+    0x1587ecfd, 0x1182c2a9, 0xc0f150b3, 0xa05059d9, 0x01bcf2a8, 0x44219d56, 0x837b4f92, 0xf20a9418,
+    0x8450cf87, 0x6e7bd6ee, 0xcb706b72, 0xf903a0f2, 0x6555bd3c, 0xd10feb3b, 0x966f2029, 0xfa9a0b76,
+    0xd767c8ac, 0x957a7b26, 0x436ce1cc, 0xc23f53ab, 0x261b2557, 0x392786d7, 0x7264b234, 0xb2b6aacf,
+    0xc427552d, 0x5a5f85c0, 0xcb8f47e2, 0x3ebc16bd, 0x5f1b341a, 0xf4e2b0a4, 0xfbc16092, 0xb3d5eac2,
+    0x490cd697, 0xf325c6f6, 0x72f140ea, 0x377add7f, 0xfacbc353, 0xfd329aeb, 0x09687dad, 0x9a734660,
+    0xa185fc83, 0x3c9113c9, 0x5f7a6859, 0xba8f4de5, 0xcaaec025, 0x9e679536, 0x796213bc, 0x487e15aa,
+    0xa18558c9, 0xe58e22f5, 0xb340102f, 0x1c9dbf65, 0x828d35c8, 0x87462731, 0x9145b336, 0xd00f0d7c,
+    0x2e63a1db, 0x7e7c4307, 0xa2e423bb, 0x63ab7665, 0x48d51299, 0x9447d3c8, 0x97cabe73, 0x345ccb78,
+    0x3875b2f2, 0x39ca9fbc, 0x93d801e2, 0xad14c17b, 0x2fe5bdcf, 0x59af09a3, 0xd2905bb9, 0xa999c7a0,
+    0xd50a6a57, 0xd5025a55, 0x8c90296e, 0x2910ca9b, 0x0a43ba4d, 0xce5464ea, 0x090fb23c, 0x79a540bc,
+    0x00000000 }, /* 10**-00000000000000000000000000000000012911249390434542948279595860015059371648528\
+                          96414611756415329678270323811008420597314822676640068915717951585986373746688 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693,
+    0xaa01c84c, 0x52b16e49, 0x537f7d18, 0x7a62f99a, 0xf021622a, 0xe0c5c1db, 0x41549c52, 0xf429ebc9,
+    0x00000000,
+    0x864a5edb, 0xd7f6b0d5, 0xe2dd262a, 0xd07b20fe, 0x4cd846bc, 0x76b8ba38, 0xe3a7330f, 0xf266d54f,
+    0xce2c1316, 0x4dbd61e0, 0x0734c00b, 0x4454d738, 0xca76e40b, 0x7ee4f305, 0xc2ae4a1c, 0xea74e972,
+    0xaa7139c3, 0x4627d0ca, 0x17657b5e, 0x6a2f31c2, 0x954d5ea5, 0xb9770345, 0x31321d3f, 0xef7ee2a5,
+    0x8a1b2187, 0x5bd29f73, 0x152a7528, 0xf6c2ed7e, 0xd3832346, 0xbb698733, 0xe8e86d71, 0x6be95dee,
+    0xdaf6e496, 0x03804031, 0x66867a43, 0x6c1cc44b, 0x16212676, 0xd236eed8, 0x063c64a6, 0xf4fed3dd,
+    0x4758de40, 0x6a5b02b7, 0xb7f8a57f, 0xa0c10431, 0xa6780d59, 0xe820b816, 0x0f9c1667, 0x35076284,
+    0x47cf2bee, 0x26589fe9, 0x0c6bdfca, 0xaa070a6b, 0xe976bc57, 0xf353d991, 0x1577ea22, 0x1e2075e5,
+    0xeb59bb69, 0x5a070211, 0x4b4bd05b, 0x505fc47a, 0x26a951c7, 0x83f7d96b, 0x6eaf550c, 0x65515fcb,
+    0x3e50414c, 0x9f873eec, 0xbc921236, 0x7982513a, 0x69af3457, 0xa77d87ba, 0x5bbfd244, 0xe4562cf7,
+    0x66df12f5, 0x644d668c, 0xbb1ff4d4, 0x3631997a, 0xa15b3221, 0x7bc790a7, 0x343eb392, 0x03a42713,
+    0x0fc9a3ff, 0x2baff150, 0x3a007715, 0xba43f045, 0xf3b60b8e, 0x600c55fe, 0xa91888d4, 0xd6b5b060,
+    0xfcb8484b, 0x329cd328, 0x794a4430, 0x422f039f, 0x38d89657, 0xa06651a1, 0x869f18a0, 0x2409b73a,
+    0xe3353402, 0xd786119a, 0x38551624, 0x5bfd083e, 0x2e8012d2, 0x9dd612a6, 0x59d6839e, 0xe55748c4,
+    0x9d808ead, 0xfa6f60cc, 0x1e107307, 0x61066c19, 0x7151799a, 0x82c9f701, 0x927e8b64, 0x62ae5a4d,
+    0x9b73810f, 0x6c3c34ba, 0x94af4659, 0x1aa1c62c, 0xf153fa1a, 0xff893988, 0x5746e67f, 0xab362781,
+    0x3d788bb9, 0x45efce41, 0xe6ed9cc7, 0xf01f9b02, 0x6963d560, 0x9c83b571, 0xc7001b9e, 0x7367b5bc,
+    0x27cc7233, 0x09e1db49, 0x94e63737, 0x0bd8eb1f, 0x74864aad, 0x6b82fd40, 0x814b5a71, 0xfbf30868,
+    0x80ac3b8f, 0x22c210a7, 0x79dd2f82, 0xe8da7b85, 0x09a91098, 0x6a09cfe7, 0xe73149b3, 0x5c0ab707,
+    0x9c1cf79b, 0x7a6f6a0c, 0x5be8efad, 0x6c21c560, 0x4e94428e, 0x63ea2799, 0x69af31bb, 0xdfe7cefb,
+    0xd81a47e4, 0xa47ab065, 0x4a56396d, 0xf9dc418b, 0x4162c22c, 0xa8b28d75, 0x14d15d81, 0xda278faa,
+    0xe37fc3af, 0x907cd358, 0x835bda21, 0x092e2d48, 0xd987d5e6, 0x31a28aa1, 0xca5b8ca5, 0x3b8a454d,
+    0xdbc6bdaf, 0x96d4152d, 0xb6cb7ba3, 0xd6990d6b, 0xf7b749e2, 0x419bc5c3, 0x8cf96d79, 0x800f0188,
+    0xd8bb2de0, 0x79d79f0c, 0x66fa2b16, 0x3673c82f, 0xb2ab1c90, 0xa7878cde, 0x99156a4c, 0xf711d67c,
+    0x3317cee8, 0x2dbc8d24, 0xcf37be5c, 0x03c23118, 0xd3a47277, 0x27844a68, 0x1266651b, 0x967f6fc1,
+    0x567b29e5, 0x94818d18, 0x95074992, 0xf9b24bbd, 0x9c6f9e9d, 0xc3938010, 0x4e9f05ba, 0xeb337e47,
+    0x48bcb585, 0x62b323f2, 0x32d5c764, 0x0a1ae74b, 0x1a3d8935, 0x6affbe46, 0x72032446, 0x7c54fba6,
+    0xaf78aa1a, 0xfe3beaa6, 0x2aca7163, 0x458b1ed3, 0x7789d0db, 0x95a9c651, 0xb01e39d9, 0x1762ff5a,
+    0x90b603cb, 0x2574f3a5, 0x420f3dc3, 0x432670c3, 0x60c07899, 0x5c4b261d, 0xdf6ffdb6, 0x9ec95f69,
+    0x32a2f0b0, 0xe9db468d, 0xfc9f1b4d, 0x5bcd1ea6, 0xf2f99947, 0x09bea669, 0x21526f04, 0xed978269,
+    0xf50428fc, 0x38ae2556, 0x4995fac3, 0xb46113fc, 0x6f1c95f8, 0x126f5120, 0x350a74ef, 0x89cd2734,
+    0x0d0dd32a, 0x6aada386, 0x17f56a85, 0x96c5f5f2, 0x522a41b4, 0x7a1bc256, 0x15fdb928, 0x7d63cc92,
+    0xb283ed05, 0xe5508d8d, 0xab5f6464, 0x6a526da4, 0x94d5f3f1, 0xcdf63442, 0x0ed829b0, 0x850c5007,
+    0x9be8c137, 0x4b2ba441, 0x6cbaa570, 0x86770558, 0xd19db17e, 0x96a3d00b, 0x3cf70527, 0x3cc49896,
+    0xe680da4f, 0x5f3f0497, 0x44c67eb1, 0xc86127b3, 0x68605158, 0x829caf7b, 0xcfaf3586, 0xcf623019,
+    0x097c66d0, 0x9518757b, 0x372f7716, 0xad261f27, 0x3bf9cb69, 0x1ca95cba, 0xc3b162ab, 0x0731522e,
+    0xb0e4cc8f, 0x4a955feb, 0xfe1075cf, 0xd9d2f766, 0x4ebaf30e, 0x11cd788f, 0x927983ee, 0x1fe91289,
+    0x2a2dc61c, 0xdb8a5c40, 0x17335b53, 0x1fe0c269, 0x7ca8c8cb, 0xe1a2a82c, 0x209b048f, 0x5882719c,
+    0x9cf3cdf2, 0x0d8e9ed5, 0xfa6ef207, 0x0ade3dd2, 0xdcd46d8a, 0x6c232dd8, 0xf5d7cd58, 0xf72b2079,
+    0x3a211b13, 0xc6678f2c, 0x79d1aadf, 0xfac6101a, 0x7570bf46, 0x1161b8db, 0x3b3d2c45, 0x6a9c6eff,
+    0xdf23f0f4, 0xa45d0058, 0x17f208c1, 0xd36338be, 0x79a25753, 0x5a316066, 0x2a405a05, 0x4d940c7a,
+    0x684e1b7e, 0x635efc8a, 0x59eea8ea, 0x96178fab, 0xdcbfd9e8, 0xdbf9af1f, 0x4bf18689, 0xd94df27c,
+    0x1a987bd0, 0xc523c86a, 0x92687b1d, 0x0ee5a365, 0x79ab86b6, 0xb0e150cd, 0xf3071667, 0xbf42a30d,
+    0x1465a333, 0x997952ca, 0x05aeb68a, 0xac960e7a, 0xf3d5f124, 0x0a720855, 0x77925ff4, 0x6070a9d0,
+    0xd897f17e, 0x444e2f66, 0x5e2341f1, 0x2770d00a, 0x33e0b636, 0xabbb57bd, 0xdc302437, 0x3bb4da61,
+    0xec87d438, 0xd24640d8, 0x59f5c33d, 0x5f16a27c, 0x19836c54, 0xaf917d8a, 0x4fe070f4, 0x4bf5005a,
+    0x8adc0c7f, 0xad1623bf, 0xc70cefc0, 0x39fef379, 0x6cd8d9cb, 0x6d5ba34f, 0x956166c5, 0x40e2716e,
+    0x8c3cf659, 0x809e2ec6, 0x6306419d, 0x63eaf601, 0xac8eff96, 0xcde32992, 0x64013bda, 0x4f378054,
+    0x0812f3a3, 0x212b7fc7, 0x3402be68, 0x5179c50f, 0x77b25255, 0x88387944, 0x04a001cb, 0xf026a139,
+    0xc6ca1ad9, 0x78101f9b, 0x745cfb53, 0xc5f42844, 0xfccf088b, 0xe2bd78dd, 0xcfba34da, 0x172d1655,
+    0x14c0cca9, 0x16ed5263, 0x01572c3c, 0xd03d2c4c, 0x41dfddb7, 0x0d4a9598, 0x84900025, 0xc53da9ea,
+    0x3be19474, 0x7fa6dc0d, 0xa6f7c1af, 0x87ed7ed6, 0x0823d717, 0x9d7fb1a1, 0x9f8f9256, 0xa201d7f7,
+    0x22836253, 0x067039ae, 0x2d9f93cf, 0x53ebb5a6, 0x4087277b, 0x2672ff31, 0xc4b82449, 0xbd8a4427,
+    0xaa866e8a, 0x703fdbb8, 0x466ab4c2, 0x2e1500c5, 0x6c37f8bd, 0x61690b27, 0xd8ec1282, 0x824bd869,
+    0x9ef64726, 0xe213fd2e, 0xef10e8ba, 0x7ffe3b85, 0x5e2400b0, 0x73aea18b, 0x219a1d28, 0xfe5a7977,
+    0x3fc39b58, 0x22f4cfcd, 0xe2768b21, 0xb98c7ae4, 0x2c46170f, 0x6624c1cf, 0xc0d434ee, 0x7e78b6ed,
+    0xa6415e80, 0x77b7c5d0, 0xab3922f0, 0x349a51c2, 0xfeb8b96f, 0x3f7e827f, 0x4f1b1fb4, 0x20316dc5,
+    0xe2d64248, 0x635dc7a2, 0xd5dfbb29, 0xe76e6a95, 0x7a452663, 0xd93da264, 0x60387a69, 0x84bd2a4f,
+    0x5a2c4bbf, 0xd43a8e14, 0x3e10e0e7, 0xad4fe33f, 0xf98f7a88, 0xae6b8178, 0xaa1b4f72, 0xd75e9942,
+    0xaf714bc8, 0xd82b6ae4, 0x11bed5dc, 0x609bcb22, 0xfa998466, 0x9fda9a6a, 0xc9839414, 0xe60721df,
+    0x43e9c6d9, 0x4b4adc8b, 0x783c3834, 0x5ecece35, 0xb2504f3a, 0x244afc8a, 0x39fe5afc, 0xacb27bc5,
+    0x75bde0c9, 0x8602a6bf, 0x332d5d89, 0x9698307d, 0x6655e2b7, 0x2b92ea0d, 0x94d87bbb, 0xedd7e590,
+    0x64099c9d, 0x8a7e29f7, 0xa4be1f48, 0x87d4eb96, 0x8d087390, 0x471ea82d, 0xa677f599, 0x80c544ef,
+    0x5fd663e7, 0x77d1e728, 0xcd833b4b, 0x8f79b533, 0x6713c0a4, 0xcd11f2e9, 0xade4fcac, 0xebdd9586,
+    0xa81f63d2, 0xa84872e0, 0xe3963b5e, 0x7770889a, 0xe09f4a6e, 0x668a92a8, 0x2ac84dbc, 0xebfb8912,
+    0xc5eaea68, 0x5f111956, 0x63349653, 0x94c95fd2, 0x65b2cbf9, 0x44688d69, 0x11c27309, 0x243b5533,
+    0xa90b2713, 0xe99cbf8d, 0x4f13f90a, 0xe0f3aa92, 0xc9795235, 0xb30f83ca, 0x2c59795f, 0x8e5cbf07,
+    0x75624ee4, 0x66f91dcd, 0x109607d9, 0x83f6f877, 0xed1ddca9, 0xcbc1096a, 0xbef1f048, 0x136767a6,
+    0x5957c776, 0xe24aebb9, 0xbdd5ea0b, 0x9d21ed39, 0xbb001dd4, 0x018644f1, 0x145ec596, 0xe1fe480f,
+    0xae2c4851, 0x7d105bda, 0xddb8e5f6, 0xeafc9d48, 0x56fff7e2, 0x931edfb2, 0x4b0baf40, 0x83934261,
+    0xf740131a, 0x0503f353, 0x28b4358e, 0xad3e3bcd, 0x1cbaf14f, 0x7b39e508, 0x49897fcf, 0x14e327c0,
+    0x9d9df6a5, 0x2b8988f8, 0x0513b774, 0xacf36575, 0x4c8eccb2, 0x0a940b6b, 0x76fee208, 0x90e4bb1a,
+    0xb3876c97, 0xcfbfde2e, 0x53911936, 0xd77d6764, 0xb207d5df, 0x5badf18f, 0xafa7b52b, 0xffbd2037,
+    0x0cb701d0, 0x620349e3, 0x4e5f6798, 0xea08ad31, 0x9eb7bf55, 0x082f863b, 0x07c6158d, 0x8eaf6bbe,
+    0x65bce354, 0x24a8e7e4, 0x2a7d8a82, 0xef892f95, 0x97451b71, 0xc8f30f67, 0xca03c260, 0xa0cc8bc3,
+    0xf15e9e96, 0x424731e4, 0x31d8c67c, 0x35f1e6d8, 0x4afd48a5, 0x060b4162, 0x40e50d73, 0xb1f05cd7,
+    0x4dec30f4, 0xd68e0aba, 0x859427b7, 0xce7e6f4d, 0xeba61d26, 0x1bb24423, 0x2b19ad39, 0xa0730371,
+    0x1f0e301e, 0x0f7617c5, 0x7917a2fe, 0xa19e2517, 0x64290342, 0x81327c5d, 0xe4e8c48d, 0x02093dbc,
+    0x280894ed, 0x96e5feab, 0xd01188d0, 0x93373eee, 0xee6e3e7e, 0xaad350c2, 0x3f0017d2, 0xfb72d29e,
+    0x4ce902d6, 0x2a89bde6, 0x70e32120, 0xd4ca0c64, 0x17a676bb, 0xd170bf15, 0x0748297d, 0x14449a3d,
+    0xf1ab9079, 0x92aa037b, 0x9a214e28, 0x3dc1fd7f, 0x422eedf8, 0x27bcb0c7, 0x6d67fed0, 0x2c34b711,
+    0xf231d509, 0x3ee30ee7, 0x42ead0a3, 0x66256aab, 0xdb608d76, 0xd73e186d, 0x14e0aef9, 0x1f309cdc,
+    0x8758c8c2, 0x04aff8c7, 0x8ea27bd6, 0x1865e999, 0x365078f8, 0x453a6f8a, 0xe127451a, 0xd29526b0,
+    0x860f3a83, 0x148c2d61, 0x724fae0a, 0xd38d6c64, 0xe946637b, 0xdb555ae1, 0x210a8913, 0xd5506e98,
+    0x6a790ee1, 0xb6513006, 0x2cfb2a5f, 0xb619f830, 0x8c885738, 0x4c6c0151, 0xc3cbc9c1, 0x8356018f,
+    0xfa54e8e3, 0x1f60ae7f, 0x1ec36332, 0x1f06888f, 0xdb7c6d4b, 0xb12a8bb9, 0x733154d3, 0x418d7760,
+    0x8d787f1c, 0x828ca489, 0x2e43b4c2, 0x6c713cac, 0x8727cc98, 0x85cf1f90, 0xcd58e345, 0xcbc66434,
+    0x44ae771d, 0xf8a61789, 0x6460ca51, 0x96056ce3, 0xa79491ff, 0xac021eb5, 0xda25e5d3, 0xc6e59e07,
+    0x08c7750b, 0x9b227074, 0x5027a5ad, 0x7d363f10, 0x34140302, 0x97d9b045, 0xba75e7ba, 0xab433c6a,
+    0xb7dee740, 0xec3e7a21, 0x7699bf46, 0x5a3aa643, 0xa54133eb, 0x8e36e41a, 0x0a291f13, 0x1097896b,
+    0x95fafc59, 0xece3fcd2, 0x1e6baca2, 0x44f9a188, 0xd4816ae3, 0xa5827ee7, 0x722443c0, 0x0b217b1c,
+    0x9149a201, 0xadfba04d, 0x50f16266, 0x972f8b3c, 0xd7068769, 0xa2f9f3aa, 0x6af859eb, 0x39c9b7f7,
+    0xf724d555, 0x19615d82, 0x82e37222, 0x5d359cf7, 0xba754984, 0x31bfe95e, 0x537951da, 0xca8ce30e,
+    0xc570b1d0, 0x78cc4ede, 0x248987d9, 0x591805d7, 0xa2febb77, 0x9ec382cf, 0xcd9a841f, 0x64a5c45f,
+    0xe52d8e9d, 0xca21ff60, 0x1ac90a39, 0x8a43cc43, 0x6dd03471, 0xcc3c9824, 0x3c5cd757, 0xde825793,
+    0xc6291ac6, 0xae140cf3, 0xefe424cd, 0x41373698, 0x47840f22, 0x5862fe9d, 0x2c3d76f7, 0x1b6bb135,
+    0xfe0ca7f2, 0xf47d38c8, 0x00421476, 0x3f9f51bb, 0x165d4a5d, 0xd1f555cd, 0x44c5b910, 0xa6dfdd9a,
+    0x6a108ce3, 0xb7b544a4, 0xcf5d9dab, 0x0ebbf1b9, 0x566dff77, 0x03170c61, 0x2e49edab, 0xfd0efc54,
+    0xbbb455d9, 0xbf1216bc, 0x9c4733d0, 0xaf873f35, 0x3912b65c, 0xaf88558f, 0xabedcc06, 0x1caa0ef5,
+    0x876ed4bc, 0x7ad04878, 0x064b0168, 0xb692a4bc, 0xb6198efe, 0x0f1f2e37, 0x89cc057a, 0xc012df33,
+    0x6498fdc9, 0xeefa3241, 0xb4fae024, 0xa4424013, 0x58b0f678, 0x759edce4, 0x7207b160, 0x568599a8,
+    0x9efd55de, 0x22d3ea37, 0xe8b9578d, 0x8548d326, 0x18802def, 0x53d76b8f, 0x37cb4d5c, 0xd8fc8f40,
+    0x95fe669a, 0xe52ebeb8, 0xd1e4c13e, 0xdc031adf, 0xe95ca352, 0x76b24a73, 0x7efb318e, 0x00e88eb5,
+    0x8bc87dcd, 0xe661b578, 0x7961637d, 0x506d26f0, 0x89f4ba11, 0x7f225cf9, 0xe03a0ceb, 0xa3e6a9bb,
+    0xb786cf07, 0x9b70040b, 0x84bf05f6, 0x1d07f674, 0xf0f70afc, 0xc6151b3e, 0xf6eb4643, 0xa371f213,
+    0x35c06235, 0xee861a3d, 0xb377813f, 0x37111645, 0x469d379a, 0x3f264b49, 0x5c4afae5, 0xe341ac85,
+    0x002d433b, 0xe5ff9b6b, 0xe9ad3e6e, 0xd34f9db6, 0x00d6b441, 0xaba8c779, 0x638747ed, 0xf93e5c31,
+    0xa58f6832, 0x48f09acc, 0x8fde744b, 0x95c1e22d, 0xa0e1e159, 0x1f8c8b86, 0x029f49f6, 0xc00dd371,
+    0xbe4c48e6, 0xca62b828, 0xfe5bd2f2, 0x75d646b1, 0xe4c0d169, 0x9bac667b, 0x95343d94, 0xcd720b7c,
+    0xa6d9cff5, 0x7f21b45d, 0x4c518818, 0x54f264a0, 0x3af5dcc4, 0x031aa4fd, 0xa6558d10, 0x6d1bea52,
+    0x75ae5bd9, 0xd8143a5d, 0x0d356141, 0x03ea8302, 0x837be263, 0xd79f241a, 0xfe4c5dbd, 0x0f42b804,
+    0x6d2d0e2f, 0xf4509bf4, 0x7267c0cf, 0x3920802c, 0xf361c75d, 0x2f9166d4, 0x0efbff39, 0xca3b75bd,
+    0x62ac6757, 0x6c89a1c4, 0xfa87a380, 0x84e22bf7, 0xeea92662, 0x0580678b, 0x0d305d86, 0x41b00d89,
+    0xe2b99157, 0x680e7049, 0x8b8dab90, 0x23840714, 0xc905a955, 0x1df4c127, 0x86d135cf, 0x7262d303,
+    0xde6b8a0f, 0xb3ea3575, 0xcfe697fb, 0x9b8efdb9, 0x63da0a96, 0x6870c41a, 0x51039551, 0xd9183bfe,
+    0xef45fd15, 0xb18833f0, 0xa143dfed, 0x948fab90, 0xd38e5bad, 0x4fb33237, 0xea7288f6, 0x009aba78,
+    0xb85f2fbf, 0xfb041cad, 0x15c08e14, 0xcfe9fe87, 0xdc62effd, 0x42bd1fc8, 0xcc891718, 0xae2dbc5f,
+    0xe2e06475, 0x6c383c64, 0x1ca634cb, 0x263a8674, 0xe1b371bd, 0x66632d9e, 0x3764634c, 0x1df42cf9,
+    0x925e69fd, 0x717f4a7b, 0x6afcada1, 0x1709a363, 0x64a0580f, 0x87b9a2ad, 0xe3884a51, 0xea854e5f,
+    0xd3b8a742, 0xeeb0cbdb, 0x31dda0f8, 0x52a7eed5, 0x6e5c59f2, 0x161c79df, 0x64911f6b, 0x044e32a7,
+    0x564d7eb7, 0x429896cd, 0x68657286, 0xe8f4a1a6, 0x6485a4e5, 0xf7fc79b8, 0x4c450eb6, 0xc3974dff,
+    0x6912ae4d, 0x8792ef18, 0x97762f89, 0x26fb6eba, 0x30a63d03, 0x3386c446, 0x8ce81984, 0x1b4801b8,
+    0x16bfe720, 0x10917ca9, 0x4a2171bb, 0x34b5d460, 0x7ea7246a, 0xc4bcd7b6, 0x13269e70, 0xb471f759,
+    0x7c065de9, 0x76d2851e, 0xa47bff06, 0xd36b3ba0, 0xdce876b6, 0x3a64ecd9, 0xfb8b79d4, 0x848d0219,
+    0xf8710097, 0x8c261fee, 0xc3e212cc, 0xf413d4d0, 0x9097136e, 0xaeaa99a2, 0x5f63b6b2, 0xa48381c9,
+    0x6ebf7d9d, 0x1743844e, 0xaac01476, 0x8acab283, 0x0e7bba97, 0xcf7a4c91, 0x890d6f14, 0xa3fe7489,
+    0x9fd15c04, 0xe97329a1, 0xf5b6e1ee, 0xdfd50c1c, 0x5f8b3986, 0x285854f2, 0x42970c5e, 0xe1f4f1cb,
+    0x00000000 }, /* 10**-00000000000000000000000000000000006455624695217271474139797930007529685824264\
+                          48207305878207664839135161905504210298657411338320034457858975792993186873344 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349,
+    0xd500e426, 0x2958b724, 0xa9bfbe8c, 0x3d317ccd, 0x7810b115, 0x7062e0ed, 0xa0aa4e29, 0x7a14f5e4,
+    0x00000000,
+    0x831b874c, 0x507dd72f, 0xd174916f, 0x153979b2, 0x40a0507e, 0xbe2854e5, 0x089c8686, 0x6ba85dca,
+    0xcaec866d, 0x66a612cf, 0xedbf9a7b, 0x61dd5179, 0xe226f644, 0x2057b111, 0x8ddb6dbc, 0xb45a54d1,
+    0xea738324, 0x5f4c7977, 0xf410ac29, 0xc7134c22, 0x8969c91d, 0x9a53e7cf, 0x6871b206, 0xa40a15a3,
+    0x1c1cdac9, 0xe5715a47, 0x3cc81477, 0xf37d3e2d, 0xb1859778, 0xb0383262, 0xd397099f, 0x2ceae941,
+    0xe89634eb, 0xce33e47b, 0x42a0741e, 0x3b3424f8, 0xed45682c, 0x7ccae630, 0xe96c73f6, 0x82a30ee7,
+    0x96434bec, 0xf3d01f1b, 0xa817370c, 0x7ae5d66e, 0x0697c91a, 0xe45ddcee, 0xcadbad2e, 0xbdb83d4b,
+    0x63a76161, 0x9e1c1fca, 0x8a19b468, 0x9976cfed, 0xa911b67a, 0xe9c21998, 0xb99a9cc9, 0xcb7b6aea,
+    0x8d1355c1, 0x9ffa90de, 0x0ca217de, 0xe0b21552, 0xe0ec6c83, 0xceccfa12, 0xeb3058a3, 0xca04de23,
+    0x47bca5db, 0x8504db1c, 0xf8d55ef4, 0x8018f624, 0xb4e61fce, 0xdb4ca8db, 0x3bd39ca2, 0x5446520f,
+    0x23be7e04, 0xf85e3965, 0xe95a48a1, 0x42772de5, 0x3afd7e0c, 0x14770e42, 0x7d439b47, 0x7fb2b4a9,
+    0x8018147d, 0x20e84aa3, 0x80d7a21c, 0x4f6f157f, 0xcf87b77c, 0x6ca36039, 0x1bdd8750, 0x64c32a2c,
+    0x8d0fb5b5, 0xf4f142b2, 0x4800d66a, 0xf5f3a36f, 0xc15cd5c7, 0x9334269f, 0xed14459d, 0x26b894d1,
+    0x34ed205f, 0xe63522f9, 0x8fa34151, 0x6fc68231, 0x8ba4837a, 0x09842f60, 0x96f21f79, 0xad73d036,
+    0x6cf71b4a, 0x604ab4cf, 0x7d3391a9, 0xc6ca7df4, 0x4100c640, 0xd09d0c96, 0x816902c8, 0x9cd0ec60,
+    0x4cc5b9b9, 0xa67bdfdc, 0x23567f1c, 0x305cf782, 0x5036c12a, 0x28b600ab, 0xf7978a9b, 0xd155c948,
+    0xc1f76fb3, 0x2b61845c, 0x72a5fbfa, 0x26e6698f, 0x21cff79e, 0x161a02f1, 0xfb3d9f4e, 0xa1503745,
+    0x3020b9b3, 0xe50b1891, 0x19724c7d, 0x4f1210bf, 0x040ee430, 0xc5f50bfe, 0xf43e64f6, 0x0db55f0d,
+    0xc266948b, 0xbb0a080d, 0x966c9425, 0xcf2d55b1, 0x11db6663, 0x588be16e, 0xa00b4ea2, 0x2ab47431,
+    0xd79e403d, 0x69c96d5c, 0xc2974069, 0x48997834, 0x23a4e781, 0xaf804481, 0x2e2b9537, 0x1a37a3a4,
+    0x3b8e1f02, 0x51c73a77, 0x1b261929, 0xccc7d28b, 0xfb12076c, 0x1e59a5ea, 0x242b350c, 0xc99920e6,
+    0x11648f2b, 0x30bc7cff, 0x397449c6, 0xea37f24d, 0x5f64d223, 0x2928ea7d, 0x4b70554a, 0xc2144893,
+    0x539b7645, 0xb641ef2b, 0xda847c1b, 0x2518e244, 0x909183bf, 0xf37138cb, 0xa111c160, 0x0599eaf8,
+    0x0a492640, 0xe75be0b5, 0x5a1f041a, 0x862fd4a9, 0xb5dbfd9c, 0xa0579913, 0xacdded4b, 0x5f6a500c,
+    0x07feb429, 0xd36598f3, 0x48708b48, 0x7d809d6f, 0x7b491ed8, 0x6bb9c084, 0xe2343db9, 0xce901b4a,
+    0x06f7002b, 0x2c2ac69a, 0x170e15fd, 0xb52741ed, 0x7b80d76d, 0xb6643447, 0xc9a05964, 0x979eecb9,
+    0x6fcb009b, 0x70348aa9, 0x61239536, 0x52a1ee2b, 0x9f044f93, 0x80ea0ec3, 0xa793fb18, 0x7bb39519,
+    0xfa865948, 0x43709d90, 0x2255acb3, 0xc96d6484, 0xbe25bb6e, 0x2c498362, 0xb51df64e, 0x37f00e87,
+    0x29385d46, 0xcb45e42b, 0xee6a574b, 0xe3835927, 0x28c79694, 0x3cc9b9ee, 0xed5819b8, 0x971fc1c2,
+    0xe15c5ff8, 0x13175b13, 0x4081ed50, 0xe8860b37, 0xced54b70, 0xfc8452d8, 0xce623621, 0xf1216d77,
+    0x96d69ce3, 0xebf1a600, 0xfef65c30, 0xfd98635f, 0x61d1b6f3, 0x28af5621, 0x14d38496, 0xedc83de8,
+    0x7732c35c, 0xe259159a, 0x1736ac3a, 0x8100753a, 0x84ad4eb5, 0x346ac89b, 0x6104a302, 0xd4959927,
+    0x5b225db1, 0xea866394, 0x08bc99c2, 0xa5ee71a0, 0x8ac2850d, 0xbf303056, 0x7eda66d9, 0x4595b803,
+    0x4def9596, 0x187b8770, 0xfabe4c84, 0x282d59c7, 0xe66b733b, 0x0cab50b3, 0xdfa0c740, 0xca54bb6c,
+    0x6faf118d, 0xa0756de1, 0x8d0b2685, 0xa2ba9f55, 0x08b8ee2d, 0xd0f202db, 0x938dc28d, 0xf7eaed21,
+    0xd054462b, 0x9f8b8efc, 0xfdc3cd13, 0x900f6d56, 0xba3852f6, 0x0dc52bc3, 0x0712ce5b, 0xd849b344,
+    0x3f2ec897, 0x60088add, 0x5e912994, 0x7e3e499a, 0xdb530e13, 0xfbe7e9f3, 0x22a56fcc, 0x3bca7c33,
+    0x52324a04, 0x34fd06be, 0x81881664, 0x8e232888, 0xca0a9d93, 0x73873b50, 0xa1bb9e84, 0x22b2a17c,
+    0x08186716, 0x4f78dc75, 0xfed2449a, 0xb24029bf, 0xdfe00acc, 0xbdda8736, 0x6d8a6727, 0x52415739,
+    0xd7b28b8d, 0x7bb8676d, 0x30391321, 0x73273696, 0x30e600d2, 0x6b2f36cc, 0xb6a16709, 0xec710217,
+    0xd894cf53, 0x019ee855, 0xf31054db, 0x96a27590, 0xb9f485b3, 0xa629913f, 0x0b52c4a8, 0x139d569e,
+    0x857e4de5, 0x1e8447a6, 0x8a4b4de8, 0xdf454c46, 0x0194f33f, 0x43d1951f, 0x9ed344d3, 0x42a76656,
+    0x879ef3d6, 0x1f44fb9d, 0xf69386a9, 0xebb417cc, 0xe75c093d, 0x875445b4, 0x8af101b8, 0x3b872bf9,
+    0x379bd600, 0x4f19905d, 0xa9fc45d2, 0xa4d3528f, 0xd8216691, 0x616529e5, 0x5fe8c5e7, 0xcf7e8c5e,
+    0xd59a2fbc, 0xe4ad2a37, 0xa2f6357d, 0x663eb107, 0x9bce6e45, 0xd3496399, 0xb95eb647, 0xc52bac67,
+    0x3a1e3cfc, 0xbb18d1c5, 0x636287aa, 0x5962ba85, 0xb7120862, 0x2437c65b, 0xfe899057, 0x3b70228c,
+    0xd62f5f73, 0xf9df3a65, 0x82938262, 0x3063ed24, 0x6fc31d6e, 0x52589962, 0xabbc88bc, 0xc11c8b9b,
+    0xe5c3349e, 0xba596ca6, 0xad341093, 0xb11ad590, 0xfb2a11ed, 0x1274fb68, 0x1d949631, 0xc6dd1ffd,
+    0x6874835f, 0xcb22008e, 0x4f7b8783, 0x719cfd37, 0xcb435d3d, 0xc6cac6b6, 0xb9bf0fb7, 0x5699829a,
+    0x8e75db59, 0xa2eee9ca, 0x63c61e55, 0xfaea541c, 0xc3778d08, 0xf952338d, 0x3f4a4b47, 0xd9efe883,
+    0x55a74727, 0x49669116, 0x5e250724, 0xd50b4685, 0xe7280966, 0x5398b761, 0xb298181a, 0xb23555fd,
+    0x64e5e6e6, 0xd76eeb88, 0x62cd9e69, 0xf5a369cf, 0xf4d2038d, 0x97c59a59, 0x920c0831, 0x756990bd,
+    0x7cbd5fd4, 0x98b73330, 0x6ac80cc7, 0xcfaf94b1, 0x14c865a0, 0x50ca5ba0, 0xecde8db3, 0x39f41985,
+    0x6913943c, 0xe30f1a68, 0x6d116510, 0xa6a2fb9e, 0xf2cc347d, 0xf8e03d77, 0x75d1923c, 0x0551812a,
+    0x15c80d98, 0x6254b5fe, 0xb8886bf4, 0xe6855e8b, 0xe3490469, 0x104cfe5d, 0xb5b58d7c, 0x15b1fdbf,
+    0x082ec29e, 0x4e14636b, 0x976a676d, 0xf5a24e6d, 0x274d4081, 0x8fe39658, 0xda95d388, 0x0ecbf5e6,
+    0x7e06bddc, 0x0eb609a8, 0x26e9edd0, 0x2e0dc47d, 0x0f5e4f45, 0x023b1b44, 0x9f454d6b, 0xbb721290,
+    0x3aae17a2, 0x6966e70c, 0x458192a7, 0x0e29559c, 0x07f2d5d1, 0xb91a9265, 0x74c176d0, 0xd6bf4a2d,
+    0x2592957b, 0x652e52ec, 0xe393880c, 0xb165c16d, 0x4c1f9f8e, 0x4cfcadbc, 0x6a8d867c, 0x396935d7,
+    0xa7fc0bb6, 0xfd1bc0fa, 0xfd4c56f9, 0x284bca5a, 0x3f32f24c, 0x318ee494, 0xca73af7b, 0xc1198526,
+    0x7711578c, 0xd07b9286, 0x2e7990c0, 0xdcae90ec, 0x4d236f87, 0xcce82511, 0xaea9a44e, 0x2dc4dacf,
+    0xa4ce3304, 0x70d5126e, 0x8649ff0e, 0xc97b8501, 0xc5809e8c, 0xefc157cb, 0x42240b32, 0xbf015ffe,
+    0xb4d33464, 0xd7de0f07, 0xf1b7995c, 0xeea38530, 0x5d92daef, 0xa629e9ef, 0x2ddb7dbf, 0x44b6af9a,
+    0xf790d447, 0xc4348982, 0x89954160, 0x67f4e5b4, 0x583ff161, 0x4e7048a2, 0x1a5824f9, 0xc61db4ae,
+    0x3b6754fa, 0x573295e3, 0x218f95ae, 0x8b633b28, 0xbfdc5b62, 0x2e6a3d09, 0x79f87241, 0x00ad3a7c,
+    0xa1448da1, 0x349924d7, 0x6fec98d4, 0x085eff7b, 0xab073285, 0x02202e40, 0x8468c880, 0x9f803a29,
+    0xb137eb09, 0x397265d1, 0x544a3825, 0xb79a96df, 0x9bd5b33f, 0xdb15e77b, 0x7e4e75ae, 0x7dc85d62,
+    0x740ce684, 0xddf1d1cb, 0xdd1cea28, 0x23c60491, 0x6e3cd26d, 0x74904381, 0x78b16497, 0x60b9c654,
+    0xb63bb960, 0x6aabf9ac, 0x678f9f11, 0x0a1f7bd5, 0xc386b274, 0x3c3ab3d5, 0x24f0fb0c, 0xbfdfb99c,
+    0x1b798894, 0x5f20e191, 0x7858bfd4, 0x4b301a53, 0xd9570e57, 0x369161de, 0x4bf83d26, 0x95116ddb,
+    0x45fef041, 0xeb6e96cd, 0xf8fe86b0, 0x5fb0efbb, 0x6af85b5f, 0x33e9c803, 0xa46997d2, 0x23f77b8a,
+    0xa7ccceda, 0x0ab903b0, 0xa0a73f40, 0x4feb8c09, 0x15fb2412, 0xb0adc710, 0xf0a7b74c, 0xae7da235,
+    0x544b2ac8, 0x8855afad, 0x8b902d0a, 0x88609e88, 0xf8bbb890, 0x109e3938, 0x779d72bb, 0xc94604c2,
+    0xf38c9aab, 0x6371cf92, 0xf3f9cd80, 0x4fb7d123, 0xf12ee1bf, 0x21501ae6, 0xd7902e6c, 0x69a3e68c,
+    0xc720ebfb, 0x75bf96c8, 0x30f7dbf8, 0x10628c25, 0x8f4a159a, 0xea83cd6a, 0x0773ab27, 0xf1a97285,
+    0x782cb0a4, 0x9b52b927, 0x25254e7f, 0x2ac57866, 0xe20dcd06, 0x2d37a35f, 0x836e36fc, 0x5c5a48d7,
+    0x826652af, 0x609314ad, 0x5bcbeb01, 0xdfb811df, 0x62dc2c29, 0x38e988b0, 0xe7b85356, 0x01ae0498,
+    0x687ad3f9, 0x2a9b17c1, 0x8b8d5e52, 0xa85cd7fe, 0x37a07eeb, 0xa6f7ea3c, 0xd4b0b359, 0x0fab7a7f,
+    0x205fe6a4, 0x39b1d7c6, 0x5e73da51, 0xad989a76, 0x97233d6d, 0x8b178283, 0x684d6d2c, 0x868677d2,
+    0x82737872, 0x2d13e60b, 0xae5a7de8, 0x810495c5, 0x2950bc65, 0x2b8507dd, 0xce564f8f, 0x75bc000b,
+    0xdefa78e8, 0x95bf6b17, 0x3ce0ad8b, 0x99406f96, 0x57734d09, 0xb4931dba, 0xc712ce0c, 0xecb0da53,
+    0xed23d9c3, 0x94359305, 0x75d5bafd, 0xf20a0235, 0xa113cf98, 0xf44e6d1c, 0x575855df, 0xb94e3871,
+    0x7605f7cf, 0x9012f5be, 0x9a43b137, 0x1816bd42, 0x1f661e45, 0x2a38f2c2, 0xc7e98865, 0xc5b235f5,
+    0xc722aea7, 0x2c9837f5, 0x5f990eaa, 0xab08f451, 0xad30aa36, 0x89fff9c0, 0x3b074739, 0xe292b184,
+    0x996b8430, 0xafad7231, 0xbe2f646d, 0x1cf47a26, 0xd46b9e15, 0x7a3cbe8f, 0x4f70f2c5, 0x5e7223ca,
+    0x4c6bf084, 0xaf0059ba, 0xcb4154ce, 0x78ccc634, 0x23883fbb, 0x68a065c7, 0x93787957, 0xe4c0929b,
+    0xfd65b737, 0x91b2ad5d, 0x4f6e9138, 0xbf1c2708, 0x5909aeca, 0x0724614d, 0xff7ccad3, 0x2da5970c,
+    0x6c121bea, 0x3905a17b, 0x0a49c358, 0x2c1c7b64, 0xa9352986, 0x2b6e0840, 0xa695187c, 0x0b695618,
+    0x7ac1006e, 0x833134df, 0x972402fb, 0xc4fb23c0, 0x9430f997, 0xa3b434e9, 0x291bd2a3, 0x1c8cf88d,
+    0x6366e697, 0x9ab641b2, 0x48fefa7d, 0x84e0026f, 0x6a523643, 0xabebf2f6, 0xebef6f73, 0x48fcb948,
+    0xa7d83d7a, 0xe59ef929, 0x8c1bbc72, 0x550a1eb6, 0x9ce71987, 0xfdd3d786, 0x02802504, 0x1d6116d3,
+    0x3fe3f8bb, 0xf2b90b66, 0xf8e45774, 0x2db6b1e6, 0x6ab36d24, 0x6dba67e8, 0x70413534, 0x4426dffc,
+    0x9cfc8d16, 0x19401c01, 0x86b268e2, 0x60aa39c4, 0x9a636da3, 0x7e69c7c5, 0xe0a962f4, 0x4a278d82,
+    0xc7a2ca98, 0x9859cae4, 0x01aace2f, 0xb03d46cf, 0xb857994a, 0x9a16fb65, 0x431b2ebc, 0x03f050bc,
+    0xe2c007de, 0x8b945c07, 0xefe0308a, 0x371e01a8, 0x58105187, 0x595147cd, 0xdea08d03, 0x07eeffe9,
+    0x9cf7a08f, 0x6daec1a5, 0xffb3e9ee, 0xbaedd7ff, 0x17179aa3, 0x7d1b7db6, 0xfcd9a6b5, 0xa4c6917c,
+    0x82bca81f, 0xdda29a0f, 0x6a713fbb, 0xce21bcfa, 0x2c2915e2, 0xef6f3c8c, 0x11a25ba6, 0xd003ba10,
+    0x767a9ac7, 0xa4cc52aa, 0x451d3eaf, 0xb0380879, 0x81c88d86, 0x111e0cba, 0x0ab61baf, 0xc77362e7,
+    0x66af9b24, 0x874b2bd4, 0x4cc6a1bb, 0xc1a92edc, 0xf93a4fba, 0xbeb8d7b9, 0xc22a2b9c, 0xe6a5223c,
+    0x6eaa3899, 0xba6e18a7, 0x815ae7b3, 0x85ac90f6, 0xf85568d7, 0x86dac130, 0x61755284, 0xd48e2a7b,
+    0x71ec3472, 0xe93e9875, 0xce6acef3, 0xf56c02c0, 0x610e1dd2, 0x406e0d9b, 0x9698786c, 0x22e27540,
+    0xef75685c, 0x12bde1cc, 0x84ef4c39, 0x37a2040b, 0xb5ef34f9, 0x8f50762f, 0x26f489f8, 0x5a2915b6,
+    0xe45e767c, 0x08fc8be8, 0x692568c2, 0x8fc951ee, 0x67f5b249, 0x305ab8d4, 0xa3fd1d20, 0x99dc8fcc,
+    0x65cdcc0d, 0xf5444286, 0xdf8d3aae, 0x94b4e476, 0x20383553, 0x19d33989, 0x8cb53015, 0xac7572fc,
+    0x353babcf, 0x78d7a00b, 0xd47a66c4, 0x59a12021, 0x4c698ccc, 0x06ebfe10, 0xd12f765b, 0x8704b034,
+    0x17f0229c, 0xefe908d1, 0x5ef5590d, 0xd890a3a2, 0x40d36bc3, 0x48df53aa, 0xeb9cce2a, 0x4c4c3f19,
+    0x4d6991c4, 0x1eff6321, 0xa592c240, 0xe3deb05d, 0x0ff3cf68, 0x54003372, 0x0a47e995, 0x5caa52ca,
+    0x65fb0689, 0x847d7f0c, 0x733fe090, 0x8fca8d01, 0x2ceb857a, 0x823946f7, 0x9d2ce076, 0x6c3acb7f,
+    0x7fdd6de2, 0x10ac5576, 0x6edb8058, 0xac1c817b, 0xef6c2b5e, 0x66576714, 0x2cf3e72d, 0x21964535,
+    0x6ecd2c4d, 0x514a2451, 0x2839cbd5, 0x93534c27, 0x94638a98, 0xbd29c56c, 0xad8e3118, 0x09996822,
+    0x8b221d38, 0x184fedce, 0x844c836d, 0x6bc7a267, 0x4c5b1bfe, 0x6f1a03ad, 0xdad641f2, 0xb68d81c0,
+    0x079ef1f9, 0xa31d8dd9, 0xa651a955, 0x419ea470, 0xe46e6103, 0x6cacb824, 0xf101373c, 0x37da2df0,
+    0xf3eccb75, 0xff831f9a, 0xaa4f6ad0, 0xdf874985, 0xa865daef, 0xd86f3c1f, 0x28e6ad6b, 0x20373685,
+    0x8d301eda, 0xc4b4d14a, 0x9e74683e, 0x45d76b67, 0xecfaa14b, 0xe7699ecb, 0x9c0b714f, 0x9b18a96a,
+    0x4bbd544b, 0xdd2a1143, 0x875ca8c5, 0x777eb75d, 0xaca9329e, 0xc9ccc7d9, 0x89b86122, 0x82bebfce,
+    0xcbc73fed, 0xdac95de0, 0x7357a808, 0x3888e9b1, 0xc83b1f0d, 0x17791246, 0xa0a6545e, 0x79e9886d,
+    0x4f53f942, 0x75fcc7fe, 0x5d9feae9, 0xd7f34af9, 0xc8825b39, 0x3d52ee4c, 0x75f48c5a, 0x5fc89440,
+    0x659e31dd, 0x3f50baa7, 0xfcd27c4c, 0x03864cbe, 0x8413f588, 0x0c06f458, 0xffebedf6, 0x5d51f0fe,
+    0x64043c29, 0x77009da8, 0x4edb3c80, 0xd550cef7, 0x18bb5489, 0x7dddffd5, 0xf121fdea, 0xb2aa28af,
+    0x39291fd5, 0x7f4b62c3, 0xfca09ca8, 0x8d594eec, 0xb9c7c8e4, 0x807639f6, 0x913a0380, 0xf4901c8a,
+    0x5cddba1c, 0x2cb971fd, 0xd972ba5c, 0x21b422e7, 0x02a61776, 0xe7f2166a, 0x30511d0a, 0x8e4e6b8f,
+    0x43ee983e, 0x043d6d94, 0xed835316, 0x3cd7555b, 0xd756b35a, 0xde8dcd7e, 0x668d8c4d, 0xe505805a,
+    0x8294bdb8, 0xfc8c545a, 0x16a13dd4, 0xd79338cb, 0xcbd6b84d, 0x85f4d517, 0x61a6bc37, 0x7fc7f5c3,
+    0x453788fd, 0xdd9dbd07, 0x5944b84a, 0x0a53690f, 0xd479325d, 0xe2e5caeb, 0x61440488, 0xb44c4464,
+    0xebd319d3, 0x7928cf15, 0xc53c9ee8, 0x34cb88e7, 0x9f5e6ba7, 0xf6ab4e9d, 0x383a49f4, 0x03ca44be,
+    0x95f47a89, 0x9beecb0c, 0x144dcaec, 0x1c951d5f, 0xa0c8eaa3, 0x51948512, 0xc93622d7, 0x3368b868,
+    0xfd717176, 0xf5daa295, 0xfd9f8054, 0xfdf416eb, 0x696e50fa, 0x6bd2f703, 0x38d066cb, 0x4e8adbd9,
+    0x00000000 }, /* 10**-00000000000000000000000000000000003227812347608635737069898965003764842912132\
+                          24103652939103832419567580952752105149328705669160017228929487896496593436672 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4,
+    0xea807213, 0x14ac5b92, 0x54dfdf46, 0x1e98be66, 0xbc08588a, 0xb8317076, 0xd0552714, 0xbd0a7af1,
+    0x00000000,
+    0xb73419aa, 0x94b7b88b, 0x44d9c791, 0x3c548097, 0xf232120f, 0xa0e7ce71, 0x2de044da, 0xc21d7c87,
+    0x497514b4, 0xdb8d2dd2, 0x90a33329, 0x605bc629, 0x9bcf5407, 0x1021a552, 0x38b5832a, 0x6a30e0a8,
+    0x11be0d82, 0x1ee2eb0a, 0x7f686c1b, 0x11ba1f5f, 0xb4ec03b7, 0x96405d76, 0x1b82beb8, 0xd7294062,
+    0x5cfc304b, 0xf164c7fc, 0xd863324f, 0x1bc9fa57, 0xa2cdfe81, 0xeb92fc31, 0x61da1005, 0x1e55319f,
+    0x7ad2c8bb, 0x36541d22, 0xf98616a8, 0xf2aba336, 0xcd1abdd0, 0x9d72dbc2, 0xcc313b0d, 0xb440df70,
+    0x562ca090, 0xbc5e5778, 0xffdd7304, 0xbb4ea742, 0xb84595c5, 0xf368c70b, 0xea05959b, 0xe54e990d,
+    0x96c172f9, 0x80eb2da8, 0x78c700fc, 0x01d17fe5, 0x59574299, 0xd5fb8ab7, 0x5b7903e9, 0xca6cdc66,
+    0x5f95737b, 0x8a7cd875, 0xbcca6ba3, 0xf6c12ad7, 0xea40b969, 0xfbc659fd, 0xbbfb8793, 0x355fc872,
+    0xfee9a49b, 0x213bac2f, 0xdcb0cff2, 0x3c755cae, 0x502c4e01, 0xad625280, 0x48bc9f8f, 0xf752743c,
+    0x82ba50e5, 0x3d01096b, 0xbf52235e, 0xf70bad1e, 0x9cb54fa8, 0x6299e0dd, 0xe8bcf937, 0xb59f2861,
+    0x9902f5a2, 0x606cc096, 0x0b5f0b59, 0xede0e9cb, 0xb96fd56e, 0x2f18b1b7, 0x80dfacbc, 0x8f0132a4,
+    0xf7429f0a, 0xf1354dc3, 0xb6d6bb4e, 0x4d258cf2, 0x1b853b56, 0x5a701400, 0xf4bd4151, 0xd8043b00,
+    0xbaf1534f, 0xda59ca26, 0x18177640, 0xe117227f, 0x769b9cd3, 0x0fed1815, 0x758a71f5, 0xc3c312e5,
+    0x53d9687d, 0x369c8fc1, 0x1daf9d1f, 0xcb7e531a, 0x3f0c31e0, 0x0ee3bcab, 0x51eab2f4, 0x00fb2999,
+    0x2b9e7b9b, 0x1e019db7, 0x0f912978, 0xdead6685, 0xb1b2f430, 0xc0b8f6d2, 0x0c8485b2, 0x7c2fbea8,
+    0x974f76ac, 0x6c1c8fca, 0x8c0dd28e, 0x8709c52d, 0x86ad704c, 0xfa64d07d, 0x80d13fef, 0x8bbb7555,
+    0x0ff68c86, 0xc10e8652, 0x71ed8080, 0x7d31011e, 0x4beadea1, 0xdaa49274, 0x8b142a9a, 0x7f2d3c59,
+    0x20d9cbaa, 0x7c2d5b4e, 0x4cc71f31, 0x6039bc66, 0xc55ac1ff, 0x3a69ae1c, 0x523c6ec6, 0xc2d7202d,
+    0x6d034c0a, 0x1a882d8b, 0x10e990ef, 0xb7b39b35, 0x3f27c8d3, 0x95458e88, 0x0028057b, 0x92b692d7,
+    0x27bea31c, 0xf1075f21, 0x4f1706bb, 0x2f32baba, 0x9940bf7b, 0x6816fb0b, 0x4a4ba0cc, 0xa619389e,
+    0x3564f2cb, 0x63030a35, 0x71388aba, 0x963e0357, 0xb6a66e60, 0x8433862d, 0xcec3eafe, 0x02b7db6c,
+    0x7e1806c8, 0x53f09dfd, 0xd0729188, 0xcb04d8d2, 0x08fe9398, 0xb4d03312, 0x8b3e4a69, 0xec308f36,
+    0x87ead4d0, 0x158acdbb, 0xa2f882c7, 0x81bf0d30, 0x4e379fc4, 0x49c1d473, 0xc31f6d4a, 0x88075a94,
+    0x082e51ef, 0x5c8af7f9, 0x142e3176, 0x8f7ff52b, 0xca2f5bcc, 0xf2073ed0, 0xb966927f, 0x56eb2612,
+    0x9384a32a, 0x44364104, 0x6596e267, 0xa0b7f944, 0x2eceaa9b, 0x4d61d8a8, 0x7355b1db, 0x291d8683,
+    0x3afadc5c, 0x2f9460c1, 0x029af2f5, 0x39900470, 0x03e0cddf, 0xe463ecdb, 0xa1baf44b, 0x8f498ecb,
+    0x63649f4e, 0xac7db520, 0xb20aeec4, 0x8e4392b1, 0xfe72b04e, 0xc9c887ea, 0x347c2bc8, 0xa808b238,
+    0x5a2e1f17, 0xf1c21c7d, 0xbd7c6033, 0x37c699fd, 0x6c08524f, 0xd80c29fb, 0x9173173d, 0xdc9de777,
+    0x2de296d1, 0x7361caa0, 0x210c121b, 0x109fe2f9, 0xc9df5c08, 0xb7624547, 0x4c19da21, 0x6f9ac7bd,
+    0xd5faa1e7, 0x222261bf, 0xa8617178, 0x025b4e9b, 0x457d561a, 0xc4261622, 0x840e8b24, 0x8d0d68dd,
+    0x379ba171, 0x02368786, 0xc64324a7, 0x0807cf66, 0xe41c9f1c, 0x850e3064, 0xef511a60, 0x88a7cfc2,
+    0x79cdb8de, 0xdb69e9e8, 0x9ce82b87, 0xefd670e0, 0x06899fda, 0xc00072e2, 0xf5e78d82, 0x495ec772,
+    0x2fdfdae3, 0x125d1b4f, 0x6a2ed04f, 0x010a5c86, 0x4e37b54e, 0xbcc85613, 0x9a2a3b92, 0x203f06a3,
+    0xb1f67eb8, 0x6a03a5e3, 0xf22c7ecd, 0xf31729ed, 0x0f289c28, 0xa74f76f9, 0x564a2d27, 0xd57f8a51,
+    0xcd3e45df, 0xc9dff63f, 0x358c517e, 0xf7dc0e24, 0xb602328e, 0xfb2a3828, 0xba07dd25, 0x56a1ad0a,
+    0x0d925eb8, 0xa7751720, 0xcaec10db, 0x6c4e48b2, 0x831dc68a, 0x84c06943, 0xf53aed39, 0xd9047b92,
+    0x3adf5132, 0x99b83ceb, 0x90af95d0, 0xe2a54231, 0x0b60de45, 0xf687e542, 0xdda717c4, 0x5b96a5c6,
+    0xda9436bb, 0x0a62f134, 0x88aac50e, 0xa50037de, 0x96988042, 0x74476e88, 0xcb9eaf3a, 0x0bbb118c,
+    0x42ae3ca4, 0x386bfbdb, 0xbea0ad3d, 0xb518b950, 0x64b8740c, 0x414f2cae, 0x2d60e0cc, 0xcb4e6bfd,
+    0x2b1e912b, 0xbeb3d5e7, 0x215133fe, 0x0859ed2d, 0x94b14e54, 0x540cfb1e, 0xae478748, 0x436b855c,
+    0x64bd3988, 0xc8cce207, 0x424f5caf, 0x025b7401, 0xda72cd8e, 0xf746fd9b, 0x06c01468, 0x3ea9139e,
+    0x5cef5263, 0x609c51b2, 0x0eda8980, 0xbf2deaaf, 0x06947391, 0x2c98964b, 0x8afebd34, 0xa5015a22,
+    0x20f95b37, 0x06e3921e, 0xa06a3be2, 0xed3f1be1, 0x553f99cc, 0x5a7b8637, 0xda26e8b3, 0xcd4d2e90,
+    0x189fd1fc, 0xdaa27085, 0xbf4bb66d, 0x54418fed, 0x6b3c7909, 0xf865ba47, 0xd5a7f1f9, 0x5476d70d,
+    0x6c88bd5e, 0x862a7b52, 0x9c2d7bd2, 0x96783a3a, 0x25fa1430, 0xb15a3e78, 0x050e7727, 0xcd07ba89,
+    0x791d5729, 0x781d8cb6, 0xc29659ef, 0x528c6af2, 0xde617f5c, 0xcf8242a7, 0xe6d4306c, 0x8e64e315,
+    0x4a0bb11f, 0x3642a161, 0xe95dbcd6, 0xc3e417ae, 0x9f466153, 0x6d4c0974, 0xd34b4ca2, 0xf789e23f,
+    0x7c8ea252, 0xbe492558, 0x34a9bcca, 0xd88f7e13, 0x29db4e31, 0x9f7dcaa4, 0xf33c079e, 0xbdbfd112,
+    0xb9c9d086, 0xf946579a, 0xafcbf96f, 0x4ede8d21, 0x6a870f1b, 0xc1d86e3a, 0x860e0e71, 0x99b434d4,
+    0x685ba4ff, 0xdd72853e, 0x7b3a8f5a, 0xa501dc7a, 0x6ae9467b, 0x2aeb3c80, 0x0ef1e2f9, 0x47194bdd,
+    0x72821b6e, 0x0f9aaf7d, 0x083d2b81, 0x8e246c99, 0x53321fe5, 0xad978d41, 0x6cfb0e23, 0xc440f253,
+    0x2d1cef50, 0x1280586e, 0x4847ef9e, 0xfe745d19, 0x81989d9c, 0x15f81473, 0xb1020514, 0xba8830f8,
+    0x0cc25154, 0xb016ff5f, 0xa85bd713, 0xce4f7354, 0x9e52181e, 0x2421b22a, 0x5bfc38af, 0x3494a4de,
+    0x51ef63fe, 0x2290b279, 0xfde18a98, 0x4acc6929, 0x50047b88, 0x08d1b0ef, 0x4387b952, 0xe32a928d,
+    0x78a8e1b0, 0xfcf9434d, 0x89f327b2, 0xf76b5efa, 0x28203fc4, 0xc7ab9b7e, 0x908982f4, 0xb7be7b24,
+    0xb0b304b7, 0x72ba6b18, 0x82adceac, 0x13990bf6, 0xb613f67e, 0x4ca1dc70, 0xbeafc838, 0xc2242462,
+    0xa5300af1, 0x607adb0d, 0xfb096164, 0x891428f6, 0xb2cb76c9, 0x5a84add2, 0xa7d375ed, 0xffd6b843,
+    0xd1d9b873, 0x90fa539a, 0x75e2e1de, 0x02497a3d, 0x2b009070, 0xbb8f6957, 0x0625c06c, 0xf6f155d6,
+    0x2d15374a, 0xbf7e37c8, 0x92dce1ac, 0x1fab4728, 0x4d043f1f, 0x03f39db9, 0x0957537e, 0xa1db34c8,
+    0x1d273da5, 0x62cea137, 0xac2016da, 0xae244798, 0x61a596ec, 0x99e8f1e5, 0xa97934e1, 0x362325f0,
+    0x90955187, 0x050f968c, 0x2e53707e, 0xe631ac3d, 0x43e5b0e7, 0xa6688b2d, 0x561b54f8, 0x50ee3ee5,
+    0x8e4dc101, 0xd4073457, 0x55f8c507, 0x84f63b6e, 0x9b931e67, 0x3ae33605, 0x3efa583a, 0xe06c7e51,
+    0xabb6e4ef, 0x98976261, 0xd5c38281, 0xf757b13a, 0xff18791b, 0x9e9c5acb, 0x7ad9ba8e, 0x282f4d0b,
+    0x0e093a85, 0xdc6e68bc, 0xd882d87a, 0x7506cbb7, 0xb0fc2d65, 0x21f0dcdf, 0xe2b39598, 0xf835a518,
+    0xa898a1a1, 0xa2f3f68f, 0x32f845f6, 0x3d924a1c, 0x81d10295, 0xd76c0379, 0x17bb119a, 0x8613db5f,
+    0x123ed538, 0xf7d89752, 0x496992e3, 0xb3668064, 0xa7999f69, 0xdb511a93, 0x6fc822e5, 0x3d83033b,
+    0x859cbd53, 0xb031c58a, 0x6679eb07, 0x71bb5bf0, 0x4087303d, 0x41f3c26e, 0x4eb7f755, 0x4a797a9e,
+    0xa0f531fd, 0x5d839862, 0xa3bc8128, 0x0f1b8908, 0x8da692d4, 0x7bf76b10, 0xb60e414d, 0x31057e20,
+    0x0d7fbde5, 0xb9ae12aa, 0xe76486e1, 0x43e1cab0, 0xd247548a, 0x7e88a804, 0x9d9296d4, 0xebce13c0,
+    0x141d6bf3, 0x4f662f8d, 0x53bf53fb, 0x77b22c9c, 0x85d9efb2, 0x9cf77edc, 0x3489eb89, 0xe5436ccc,
+    0x556dba5d, 0xa116c50a, 0x9a00c075, 0x2e8881a6, 0x8c9d1c70, 0x1b860f70, 0xff3bbd51, 0x0ea534ec,
+    0xdeb28b01, 0x373809dc, 0x1eff7350, 0xf1a2aca5, 0x0cf4f1a9, 0xa440ebae, 0x1d89d55c, 0xc555f446,
+    0x5b3135fa, 0x2496ddd2, 0x911fc681, 0x994dcaec, 0xd7a78800, 0x1979816e, 0xe027ae1a, 0x20cd1c76,
+    0x3e9e17d7, 0x211c4636, 0x165aebb6, 0x758f0197, 0x8de498bb, 0x31566575, 0x7a7bd4b4, 0x39fa704f,
+    0x464c6616, 0xb4047254, 0x1215b84e, 0x7c9d9904, 0x8fc337e1, 0x0b4bfda3, 0xb9ab0479, 0x21c1c1ef,
+    0x2b588dce, 0xbb2bfa3f, 0xd6db2e32, 0xaa66b65a, 0x76353400, 0xb2300fff, 0xff31c0a6, 0x55b04330,
+    0xe2701a7a, 0xb451ae26, 0x696ec78d, 0xf54f92aa, 0x2970b5d3, 0xf12fc3b5, 0xc73172ed, 0x0cddbae2,
+    0x03c94e09, 0x672e0340, 0x206f30ed, 0xcd7ab3f4, 0x2e5380a4, 0xd1b35af2, 0x8475a3d0, 0x4ec36575,
+    0x7ef1f5fa, 0xc86ed9e0, 0xf6c009ea, 0xa12f45e4, 0x72f21bd1, 0x629e269b, 0x30e80068, 0x702f19c9,
+    0xe4c93c2b, 0x1aca8f9d, 0xee0aa9f6, 0x1f2de1ca, 0x741344ce, 0x9fb7ddb5, 0x4f3265d8, 0xee83d655,
+    0x71d1a4cd, 0x4e605d0f, 0x02acec7c, 0xbc58abd3, 0x0b93bb01, 0xce2564d8, 0x2750b5af, 0x808ba67f,
+    0x455716a6, 0xa2910394, 0x521bd60a, 0x4f10a40a, 0x1ba969bd, 0x13e9aa63, 0x63e22ac2, 0xf51a1032,
+    0xe37301fc, 0x5b93819f, 0x27283077, 0x5d8358bf, 0xe027088a, 0x8d91cb93, 0x4bb8c318, 0x93755542,
+    0x32ce0358, 0x81ee0d34, 0x3e086623, 0x766c72cd, 0x88c6df6e, 0xf4419daa, 0x70ed2408, 0x2b9b7e2b,
+    0x6bb5a86f, 0xead8971a, 0x6738108d, 0x620bc922, 0xa94265b6, 0x72393d4f, 0xd0b6a086, 0x714788d6,
+    0xa01f8253, 0xc80fff74, 0x7439755c, 0x68922039, 0x147f608d, 0x5a7da023, 0x71ea5806, 0xdac3bccd,
+    0x229a68ca, 0x616bdaa8, 0x95cef068, 0x9a3e7d8a, 0x504e56f4, 0x64c5eeb1, 0xef23be7e, 0x46c2afb1,
+    0x549be83e, 0xcd968342, 0x0beeb4c3, 0x2fcbb81b, 0x35f4ce5c, 0x70c8f2dd, 0x8d69349a, 0xc313e56e,
+    0x60927d0d, 0x3b6777f9, 0x4c06596a, 0xc0c61ec6, 0xdf70fe18, 0x0619dc7b, 0x09a5bc82, 0x23e76ea3,
+    0xcc26565b, 0x87198c3a, 0x09d0cbf8, 0x4e3d460d, 0xf433f1ae, 0x82750a25, 0xfd270dd6, 0xec8e090f,
+    0x790437a4, 0x2625793f, 0x124d3104, 0xa2ed0a51, 0x4faa6f69, 0xc439f7f3, 0xd132b589, 0x0e9c9061,
+    0x9209c167, 0xe3f9bcf2, 0x99612581, 0x058c8c3a, 0xaf57839c, 0x11765de0, 0x243d36e9, 0xd0db6f70,
+    0xaa94aaa0, 0x160d1b6d, 0x08dcb1d4, 0x714e1c0c, 0xfe951541, 0x2a7683fe, 0xd02926e6, 0x66f60235,
+    0xab7db31b, 0xb6ad63f9, 0xdc1c619a, 0x075c49b1, 0x7ba7b8e1, 0x074a09d3, 0x5f8856e3, 0xbb18d347,
+    0x137695d5, 0xbcdd3465, 0xcb3552db, 0x8f1ddba4, 0x407f3874, 0x67501ca1, 0xbedb07d6, 0x8e63fb56,
+    0x087980c3, 0x3d06e4ec, 0x3338d279, 0x4c659161, 0x6743d541, 0x77acdceb, 0xa4e11d4c, 0x8cd9431a,
+    0xf4ad1100, 0xd30c55b2, 0x9a136be8, 0xa301778c, 0x9b6c7890, 0xd948d053, 0x7f65eec9, 0x7bfbe86e,
+    0x77168595, 0xfdce6e74, 0xd6924ad6, 0x024c8b2a, 0xb8927e5a, 0xd056ab78, 0x1f2d7b7a, 0xb7471661,
+    0x7e80508e, 0x25c9762b, 0xdc2633a4, 0x89188018, 0xc5ba8ae7, 0x030926a5, 0xd9da002d, 0x7859c2f5,
+    0x5c8f3d88, 0x9d7e33ea, 0xc14d72de, 0x04390533, 0x2eb47f39, 0xf925ac23, 0x2942e046, 0x4bfd8701,
+    0x26a71cb2, 0x497767b8, 0x8a34c9af, 0x0af804a0, 0x1de23c46, 0x2482f2c1, 0xd3194791, 0x7e8c067b,
+    0x867c05af, 0xc0a36a95, 0x03172bde, 0x21cc7c96, 0x63f7453f, 0x6c98c3f7, 0x13db7162, 0xc54ab27e,
+    0xc921b5c6, 0x02ff3381, 0x80a4bc25, 0x6938db50, 0xc1c5d083, 0xbe234f04, 0x492f8767, 0x80344d24,
+    0xf32d4c2a, 0x853eed45, 0xe40f187f, 0x5192e031, 0xd34bda9a, 0x76c27d3b, 0x13b7f5eb, 0xd1a9bb76,
+    0x9056b6d6, 0x7d6c0e97, 0xba6918d7, 0x40041d87, 0xe93f2a3b, 0x4dd24356, 0x39772521, 0x4dcd4dc8,
+    0x6b882b8d, 0x31b37e03, 0xd7e06a8d, 0x2c9c9708, 0x96ffea40, 0x75f1f679, 0x89e54cae, 0xf153c57d,
+    0xad610d50, 0x5bb9cade, 0x4fb6c1e0, 0xafb913ef, 0x0f673701, 0xd819dcb3, 0x35115664, 0xf585dcbc,
+    0x2c16c41a, 0xb993938c, 0x3de40f31, 0x419a3e91, 0xdd76ef8f, 0x76a0f5fb, 0x79a9116e, 0xa2e824e4,
+    0x5733cd1e, 0x55453625, 0x2032f443, 0xfb258183, 0x3ad43b2b, 0xdd417be5, 0xed445800, 0x459c5155,
+    0x921a6349, 0x451868c3, 0x42ccd489, 0xddbe9a3e, 0x719b62df, 0x5d911986, 0xcb024653, 0x2eede00c,
+    0x29d59ea1, 0xcd0ceb12, 0x4bd77955, 0x1f1067fd, 0x6fbeab8e, 0xbfe014ce, 0xe76d5663, 0x69e59a28,
+    0xeb75d4c1, 0x61728fc9, 0x565d815f, 0xf3cdac18, 0xdce35c99, 0x4a6ddc93, 0x25234fba, 0xec7932de,
+    0x4a841572, 0x65cbceb2, 0xa931e8bd, 0x578edeba, 0xb8536be1, 0x309da826, 0x582d5c1c, 0xb3c75daa,
+    0xfb641f33, 0xafe9f48e, 0x52b8d259, 0x613327db, 0xc300783d, 0x7feeb29b, 0x6cddfaa7, 0xaeafcb27,
+    0x3fb597f5, 0x7d4c3df4, 0xc5addf68, 0xf4965fb3, 0x681b72bc, 0x23f46a7f, 0xd64d97b7, 0x67da25f4,
+    0xac604ef7, 0x1468a9d1, 0x5868cd91, 0xea5c9aab, 0x1a0d06c4, 0x985be5f6, 0x69c4da4c, 0xc6125bc4,
+    0xa43a0d09, 0x1b3b2649, 0x018edbee, 0xeb28dcf1, 0x7df744ea, 0x168e185b, 0xdf9d3931, 0x41ca2708,
+    0x8d121fc4, 0xad80ab84, 0xbe78c82f, 0x2ecdc307, 0xa7fb7ea2, 0x3a63d269, 0x3b899d5c, 0xdcef57a7,
+    0xe7d5b1a6, 0x39787064, 0x1bcb8043, 0x253468fe, 0x1a84cc21, 0x2d959a85, 0x95ff659d, 0xfbe502f7,
+    0xfbe72d49, 0x915a932f, 0x46d1ca90, 0x2d9706c0, 0x5e61acb8, 0x74ecfd84, 0x47c257c3, 0x09800f3a,
+    0x03b161e9, 0xfa7c6f72, 0xc880f9b6, 0xcef79705, 0x64e3e8ad, 0x86ea37b3, 0xcc948604, 0xd6504ad0,
+    0xa4a0720f, 0xf8dedcc3, 0x1784ed58, 0x556fa671, 0x72fc29d9, 0x20e62933, 0xf33ab378, 0xba952be8,
+    0xbdfedb52, 0xce6aa718, 0x71666d03, 0xc9aeb559, 0x2a9d42c9, 0x940a7865, 0x1f54c359, 0xac7accb9,
+    0x622a7cbd, 0xd3d08c3b, 0x9c2d424e, 0x731bf44f, 0xf91712ce, 0xf401a2f2, 0xa61074ed, 0x23e55e26,
+    0x548b2517, 0x31837929, 0x5078bf6d, 0xd5565ab2, 0x7db281fc, 0x5c00af4e, 0xb26ff99b, 0x20680a04,
+    0x9756c959, 0xb61295f2, 0xc2cf2452, 0x33515503, 0x59815265, 0xe1522bea, 0x209985c2, 0xa5a05514,
+    0x00000000 }, /* 10**-00000000000000000000000000000000001613906173804317868534949482501882421456066\
+                          12051826469551916209783790476376052574664352834580008614464743948248296718336 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2,
+    0x75403909, 0x8a562dc9, 0x2a6fefa3, 0x0f4c5f33, 0x5e042c45, 0x5c18b83b, 0x682a938a, 0x5e853d78,
+    0x00000000,
+    0x992253da, 0x4709cf0c, 0xba087d7d, 0x36d251ef, 0xac4fa2df, 0xbd2c60c0, 0x7803168d, 0x563a3a7f,
+    0x630c3dc3, 0x63ed80ba, 0x868a22d9, 0xc307d5d4, 0xb69039d7, 0xeb6bd38c, 0xeb97b0c7, 0x14b266d0,
+    0x1a671407, 0xb09d7530, 0xbc4de269, 0x7ca5b50b, 0x00b6c7e2, 0x2b635f2c, 0x9b486f30, 0x7fa39723,
+    0xc477e584, 0xa7a09eb7, 0xbdd5abc6, 0xcb2d6910, 0xef697b52, 0xc6ddaf30, 0x6339b18a, 0x154fa668,
+    0xbe1c2296, 0x506bfd47, 0x7f2c652d, 0xa533b95b, 0xd8466b4d, 0x45e4fdb2, 0x7930da82, 0x4a8652b7,
+    0xcd4a8cb1, 0x67dd9f91, 0xc0593b33, 0x603502ec, 0x7e18690a, 0xa8e21bcf, 0xc22ea241, 0x041b3fe8,
+    0x1d06bfb5, 0xc91d72c9, 0xb74bbe72, 0x57c1cedc, 0x0ba8d887, 0xb56ca9e6, 0xa5876a92, 0x31f760e6,
+    0x45e0fc72, 0xcde086dd, 0x4c38ae25, 0x39c24939, 0x83899989, 0x3bcd1a27, 0x823dcccc, 0xdd40a2f1,
+    0x3f69598c, 0x6c3ccb44, 0x668eb132, 0xec50d127, 0xd9de8deb, 0x05e8f964, 0x78183676, 0xcf4c71a2,
+    0x016828d9, 0x86254e20, 0xc2505b97, 0x170c18a4, 0x6b0892ae, 0x97047782, 0x6fbe86f3, 0x27d26833,
+    0xb8500414, 0xc7b03ce3, 0x4ff40a16, 0xa06c11d1, 0x90853af2, 0x98a8478e, 0x358e11bc, 0xfacff87e,
+    0x9dcdbf75, 0x2c34e1eb, 0x1bca3936, 0x7c8077eb, 0x996e91d6, 0xdc13a6eb, 0xbcfc9a0f, 0x6836683b,
+    0x7cb99cca, 0xb781c568, 0x047520ff, 0xe11235e5, 0xf1136f56, 0x0de6a9cc, 0x6afa8539, 0xa6588820,
+    0xc212d40a, 0x1978268c, 0x55891b37, 0xda5c6434, 0x43a6d4bb, 0xd38e83a4, 0x6794ec10, 0xb22b9cd5,
+    0x8cde8a3e, 0xcf29bb38, 0x33d1cf06, 0xdf0cbb8e, 0xc77c2954, 0x51d20978, 0xc6bc469b, 0xfa506903,
+    0xadb27a4b, 0xbd3a2e00, 0x3db37a61, 0xf24852c2, 0xb9e2ac1d, 0xc5021412, 0x82192e75, 0xe391130f,
+    0x29309729, 0x6cb8f027, 0xe9e0421e, 0xf7f3506d, 0xf5a667a7, 0x52c0e0df, 0xf39c7caa, 0xc1c64617,
+    0x37d73c36, 0xdc41cfe2, 0x8259b455, 0x405163ef, 0x3eea30fd, 0xcb55dd3b, 0xc9ebb55a, 0xc704cf6f,
+    0x5ed91709, 0xac82f77b, 0x628f135f, 0x56cca451, 0xdb76cea3, 0xf0f63bbc, 0xc272cdc1, 0xf45fdcc6,
+    0x25039128, 0x7f49817c, 0x5a49d57b, 0x2b8e0a88, 0xd225f314, 0x600da745, 0x12e9df43, 0x9da687ee,
+    0x9ce4c012, 0x6e9e7407, 0xacfc762c, 0x9fcbb789, 0xfc2f40cc, 0x79f98c6e, 0x29806a16, 0x52792b3e,
+    0xb4759285, 0x5ae9874c, 0x83479a7b, 0x8ca9d4dc, 0x0b9688ab, 0xb2e486c3, 0xe9e5c4e6, 0x8b6edfc6,
+    0x702dee04, 0xe5b6cc2e, 0x51b7db73, 0x684036a8, 0x7aecdfb6, 0xd8798ac6, 0xf867c247, 0xa90a39c4,
+    0x8b787cd0, 0x9ecbebba, 0x8569ba81, 0x44409de1, 0x8fbca473, 0xdd2f192e, 0xa5dc210a, 0xdf25b5b3,
+    0xc27f8c94, 0x7ea49ced, 0x08606259, 0xa8384a81, 0xd7120d0b, 0xe9f4b95a, 0x594a44a7, 0xdc25d509,
+    0xc360ece0, 0x9a2a4220, 0xcd7c9482, 0x089d7ad8, 0xe50b1c8d, 0x9ce2cddb, 0x89dcd210, 0x740979df,
+    0x440a0f45, 0xa75701b1, 0xe28d8d8f, 0xe9719233, 0x8bc32677, 0xe1534385, 0xcb83d43a, 0x9f9e3c83,
+    0x14f0395e, 0x302543e7, 0x3e86a191, 0xa49ac21c, 0x19f08782, 0xcd29ceff, 0xf11359a8, 0xb1985536,
+    0x268ff3af, 0x9aa0c4de, 0x10141d16, 0x47009ca4, 0x0f2ee030, 0x4a59cb04, 0x67abf738, 0x3806c32e,
+    0xaaaf3bd6, 0x8756f3fa, 0xb9b28f5b, 0xb08624ff, 0x8cff0c3a, 0xbfd17b55, 0x6a31b64f, 0xc07eb379,
+    0xa3ee1116, 0x8c69fdae, 0x32f2ba63, 0x298b492b, 0x10e0cddb, 0xa44197d9, 0xd20a2b47, 0x3aaf1024,
+    0x4c947fc4, 0xee559776, 0xc2058468, 0x4fa4e2da, 0x61d46da9, 0x0f896754, 0x97905f5c, 0xa059a38f,
+    0x62fcc9ad, 0x37a3a234, 0x7116d69e, 0x5c8710fd, 0xe7b6061f, 0xa60c718d, 0x7e0843f8, 0xc30b541c,
+    0x3cf04520, 0x8a55d0c5, 0x7200ef99, 0x345d9ce1, 0xc477c5cf, 0x12513f86, 0x99e06d24, 0xa4e11b08,
+    0x841cf7f1, 0x0f90f8e5, 0xe2d99e2b, 0xdd2084c6, 0xdabba9d4, 0x2687384a, 0x69e7bd2c, 0x3d298500,
+    0x6a095a32, 0xd9832b7e, 0x751a5168, 0x486281e6, 0x4b92622e, 0xc3109af8, 0x1ff62e32, 0x748093af,
+    0xb077527a, 0x4bc8350c, 0xbec95d7a, 0x81b304e6, 0x67d24c6d, 0x1610e7cb, 0xe7d68d34, 0x18a85ca4,
+    0x02fc8ac8, 0xb3d5b12a, 0xe6b60ecd, 0x6bf280ca, 0x3665a391, 0x4ee1e5a9, 0xaf1ef27d, 0x22dd3464,
+    0x68b3db9d, 0x6109b9a2, 0x061f92c8, 0x99afa373, 0x7f2730c1, 0x0062c850, 0x1788413e, 0x00a22b56,
+    0xda6a4425, 0x727a8d93, 0x74406fa3, 0xba948443, 0xb543e612, 0xc3c6a957, 0xf83973c2, 0xc5729da6,
+    0x7877d70f, 0x873c3459, 0x26f15f7f, 0xb1338e57, 0x0acc0070, 0xcda3aab0, 0x4e5595a0, 0xee82a7f2,
+    0x5b9e1398, 0xc62e3b9b, 0x7dfafcf8, 0x0e4b1071, 0xc07bd9bb, 0x50a774a0, 0x24013c38, 0xddfecd82,
+    0x6cf4aae9, 0xadfd34d0, 0x8f77e0fb, 0x27ddaf98, 0x4ab6856d, 0x5a3cc949, 0x7be3d0fd, 0x37459061,
+    0xabbf971d, 0xd4432a02, 0x9dea4b63, 0x1e51650c, 0xe1613690, 0x50c13389, 0x1859f060, 0xd827a1d4,
+    0x5cf8d0d1, 0x1df300bf, 0xa2a8a1db, 0xd8355a4e, 0x72cccc0a, 0x8302b483, 0x2d279e0a, 0xd0eed0cd,
+    0xf8ff1fa1, 0x63780de1, 0x806f5419, 0x9bf8359a, 0x408b7c07, 0x3f881823, 0x7496bc7b, 0x46b24e00,
+    0x31d46ca5, 0xe8ff3549, 0xd012062a, 0x2529966a, 0xc53afd35, 0x11ab8165, 0x5c360504, 0x26961ec2,
+    0x11d001b1, 0x5ad2f83e, 0x004e4767, 0x4e17ef36, 0x840c66ae, 0xd340e13c, 0x4091490b, 0xc636947f,
+    0x514a2e3d, 0xf2a09afb, 0xb9983597, 0x32d59a8f, 0x4bbcf0e0, 0x6b777dd2, 0xb7a63d3a, 0xbf11e6e9,
+    0xbca09c55, 0x7d19604b, 0xb6a8c63a, 0xf7dd0e91, 0xe2391891, 0x9d91ec6c, 0xf0d062ed, 0xa55689dc,
+    0x87884975, 0x562eda06, 0xaec4c4ae, 0xbb5e4ac6, 0xc797c808, 0x2f97daa0, 0x47815390, 0xe24a697a,
+    0xa3b8b44e, 0x9d61ff80, 0x16c834a1, 0x194113d6, 0x111067d9, 0xe41af2aa, 0x162017a6, 0x3c63881a,
+    0xe7974ceb, 0x965ad64d, 0xcbb7c493, 0x778fbb56, 0x506eda67, 0x08eae716, 0x34211901, 0x99eaeb92,
+    0x4bd747f3, 0xd3909dd5, 0xcf52d54d, 0xcd5a4388, 0xa69dd6bb, 0xe54a5003, 0x02b90f12, 0x03c377aa,
+    0x4fa80a4b, 0x945b138c, 0xe7b6ca6a, 0xad33f6f2, 0xc7a11576, 0x51be011d, 0x149da85e, 0xc521b57b,
+    0x80b1330e, 0x29055a8d, 0xed3e81c3, 0x4b418765, 0x6e40abe1, 0x89ab4c2f, 0xe51f2871, 0x0a82e047,
+    0x6227e815, 0xea9ec325, 0xc878efe4, 0xae7b0eaa, 0xc59d62b0, 0x43e10599, 0x97768d15, 0x55c5e939,
+    0xc4238292, 0x64aa8a47, 0xb3360091, 0xa1cf3085, 0x09e91f6b, 0x0df6e6ab, 0x95478c3a, 0xe200e338,
+    0x1bedd04c, 0x0ad8cd36, 0xd721a1fb, 0x729bc430, 0x159a3ce5, 0xef2003b9, 0xd20b2f6b, 0x10aa4f8a,
+    0xada8bb54, 0xcf54b79d, 0x6d3d6849, 0xd96c91f0, 0x5d16e85e, 0xc3e1ea96, 0x4d53c17b, 0xff4a5826,
+    0x70adaaeb, 0x83361f0d, 0x9e504dee, 0x5ae9f7a3, 0xaf602825, 0x105f2a0d, 0xf9da7f1f, 0xaefef988,
+    0x03f5a79f, 0x0e4b3dce, 0xfaaf93d0, 0x8aff4f62, 0x1f653815, 0xa063a05c, 0x47fd5d41, 0x5aa18e32,
+    0xc2385474, 0x6013bfa2, 0x26253809, 0x2c7236eb, 0x172ce004, 0x51db527b, 0x4c5ab845, 0xb33072a3,
+    0xd761e29c, 0xe83a6958, 0x84d2053d, 0x03ba8ef2, 0xc7ba0e5f, 0xff67c40c, 0xe9cc928b, 0x8a2a83fd,
+    0x016b7426, 0x203c54e8, 0xe9beb819, 0xbd0730cc, 0x93fa0969, 0xd15ab13b, 0xd769f3df, 0xb93d8096,
+    0x06d8fe22, 0x0c13b36f, 0x133013e4, 0xf397e52f, 0xfb8f1abe, 0x8cf01f75, 0x209f0ca4, 0xccac39f7,
+    0xa3688f82, 0xbbc8eb76, 0x23287a99, 0x20c05c1b, 0x3e438ba1, 0xfbe309d3, 0x78de15e1, 0x50d360aa,
+    0x86528cdf, 0x485c6b2a, 0x77f16583, 0x7de8b721, 0xc991a283, 0xcbf8dfac, 0x802a5f3e, 0xc7e74a42,
+    0x486aa390, 0x4be52f5f, 0x6ef53c6e, 0x36cfaa48, 0x850ce463, 0xada6c6b4, 0xad5ed30e, 0xdbeb8e72,
+    0x645fa7a8, 0x4710bf72, 0xf2dc5907, 0x4f636bac, 0xc52a8d17, 0xdcd324e2, 0xbf5da95d, 0xc633ac03,
+    0x1ff84b09, 0x4599617e, 0x0085f209, 0x63c6ccd5, 0xfa697e5f, 0xba6ef8ec, 0xa1723b8b, 0xaef8b484,
+    0x0b47acc3, 0xd0374a57, 0x64d39cf7, 0xe584c347, 0x117b9862, 0x60812f63, 0x467354bd, 0x54392354,
+    0xf4c6f7e8, 0x97956371, 0xaf8c8578, 0xfce568de, 0x7405e676, 0x2ea8ee30, 0xf8b308de, 0x87186782,
+    0xe50aaa91, 0x527d1185, 0x1fec28d9, 0x518682f2, 0x290884fd, 0x5b31ed1b, 0x5197f601, 0x43c4946f,
+    0xb625eef6, 0x05e3418b, 0xba2a9ec3, 0x727d9070, 0x4ca4b58b, 0x40a0881c, 0x5b362e0a, 0x2e1d1fa9,
+    0x39167186, 0xcecd4568, 0xbcd1788d, 0xc1df92b9, 0x51366d61, 0xee1c15cb, 0xef9ef985, 0x559d8f23,
+    0xfe3bb12d, 0x5b5d5ba8, 0x596b246f, 0x1e94da3c, 0x04409b63, 0x19987784, 0xa17cd22b, 0x0d975c2f,
+    0xa7de507a, 0xc106adf2, 0xcd00e525, 0xd59a185f, 0x9bd1735f, 0xca4dba2d, 0x695f9b44, 0x8b2990ee,
+    0x15753f61, 0x815bd142, 0x5c54c46a, 0x8f2a693b, 0xccb59719, 0x8a98da48, 0x5e2c73da, 0x6f905ae5,
+    0x6009e928, 0x8e9e8989, 0xbef44228, 0x7d054161, 0x8976e1ac, 0xb06a6c7a, 0x6b408faf, 0x27d4c24f,
+    0xad98f231, 0x82ee9742, 0x01daf056, 0x09617b47, 0xcfe8d061, 0x84c19cba, 0x1fa0cd4e, 0xb6346fa7,
+    0xdafa79b2, 0x70070b5a, 0x883a2903, 0x19c1e6e4, 0x7068b801, 0x92ebcfb7, 0xbaef19ad, 0x8c561089,
+    0x339e2e44, 0xa13a7577, 0x7dad5800, 0x4ffa0e00, 0xf8e88272, 0x275416ec, 0xfcb486d8, 0x51c9aa30,
+    0xda235e3e, 0xe3118c70, 0xe3b16529, 0x56c2e737, 0x241bf105, 0x10cd6996, 0x86feea28, 0x209dd87b,
+    0xa03cf122, 0xd77e65f2, 0xa96c5bc0, 0x93552017, 0xb13f08ea, 0x9f6547d9, 0xccf1b365, 0xbc09bec6,
+    0xa41e0715, 0xeececa48, 0x3217e37a, 0x3c359c9f, 0x43164230, 0x74e00579, 0xaaffe135, 0x23322e08,
+    0x1cfe3a0f, 0xf3c971c6, 0xe77b5337, 0xc6af2181, 0x3c6c7976, 0x92f19b10, 0xbd732f0e, 0x75c38b6b,
+    0xceca9bca, 0xc9104083, 0xcdc829af, 0xce8dd85b, 0x4df3f60a, 0x4b71a052, 0x9cbf591a, 0x12fdb688,
+    0x9cee97e6, 0x6b0037bf, 0x210673c1, 0x3df8e4d4, 0x56534f08, 0x005c726a, 0xaa68c8d2, 0x7c12562e,
+    0xe57b88af, 0x549320bd, 0xf4d5e657, 0xd1ed9188, 0xbb455ed3, 0xcdc53adc, 0xf3b3b6a4, 0xe31a89dd,
+    0x775a3e7c, 0x5647cd91, 0xd70257c9, 0xc10fbd44, 0xea7c62dd, 0xa0d4fa7f, 0x8016f97b, 0x8bf4396a,
+    0x24603776, 0x6fb2f7a5, 0x53ec15c6, 0xbacb09bf, 0x13d60745, 0xe586b7d1, 0xf3060d38, 0xdfce0c27,
+    0xed061dd7, 0xc7e2efb2, 0x451d43fe, 0x57f21ff5, 0x79562440, 0x7f19e57b, 0x750f3d29, 0xb2a176b8,
+    0x0173c918, 0xec38559c, 0xcc3bbba0, 0x1e333882, 0x4aefd127, 0x03799ccb, 0x120dc96d, 0xeaad6704,
+    0xa55c8a38, 0xe883bb84, 0x5e292ace, 0xd240a5fc, 0x284ea108, 0xde74c090, 0x66373364, 0x1ca9faff,
+    0x1eae86a5, 0x146935a5, 0xe8281a43, 0x0b392805, 0xaeafe08a, 0x7db3c546, 0x5a3999ce, 0xe3a36690,
+    0x278addc0, 0x0601b577, 0x0110baaa, 0xcc96a693, 0x7b4e7dff, 0x3f2d6278, 0x06075c5f, 0x0f726a7d,
+    0x8e0bf176, 0x567f8160, 0x8ee61391, 0x7b230bb9, 0x9aadceec, 0x1d02630e, 0x218696d8, 0x076d6063,
+    0x2c7c85c2, 0xcfa8be67, 0x8dbb192a, 0xad996e42, 0xe9310bef, 0xc6a8eceb, 0x460cefc0, 0xbc2a7571,
+    0x580e1fc7, 0xa3682088, 0xad28573b, 0xee153f40, 0x7cd2c4de, 0xc04c84e4, 0x94d1bb7a, 0xeb6c4fc2,
+    0x592c8e7c, 0xd5f69c76, 0x1fb17fae, 0xc2e908f2, 0x0095ddf6, 0xd09b084c, 0x70a7c9a2, 0x87ed1c64,
+    0xec382d2a, 0xc5d34e7d, 0xf9a07d84, 0x88cc5f92, 0x4c9f94c6, 0x2394d9d0, 0x1c746bc9, 0xa0b46570,
+    0x29ca4c70, 0xf6afc450, 0x93ba62bb, 0x6cb38232, 0x388df13f, 0x212cf300, 0xd2e4936d, 0xe8d445ba,
+    0x0c234dae, 0x00f21453, 0x2f9c639e, 0x3f9e8526, 0xae4d3ed5, 0x2658d448, 0xb3459d15, 0x4ee8e973,
+    0x43208ac8, 0x8040d01c, 0xd12b2f6d, 0x3aa2583a, 0x086f23a5, 0xb7b408a1, 0xf4e57811, 0x28eb3a0d,
+    0xbb4c1878, 0xe7e2b177, 0x76adb80c, 0x611f2165, 0xab542151, 0x8cdfcb6d, 0x8fb286c8, 0xa05092c2,
+    0x6e7c401d, 0xc354c320, 0x81574854, 0xf56c2dd0, 0x71253736, 0x3f22ebc9, 0xc8c408b7, 0x03dd1044,
+    0xcf66907b, 0x94b6eaf8, 0xe2ffceaf, 0x6f82548a, 0x4934c336, 0x4369e7f4, 0x4086932b, 0x2012a900,
+    0xd9c00264, 0x0afc5f87, 0xef852ac5, 0x019c035a, 0x8081a653, 0x44efbd50, 0x375dfc48, 0xce70c760,
+    0xbde59faf, 0x98418759, 0xca8bbc07, 0x580c592e, 0x85ce642a, 0x06d375ed, 0x52182470, 0x3a2b6ab0,
+    0x8b0494fd, 0x5320e884, 0xc5f92a76, 0xb54d0615, 0x9bdd7782, 0xe5bd9d43, 0x270be9be, 0x9aa5a1c7,
+    0x13610ede, 0x2eae9aff, 0x2809c960, 0xb1dad25e, 0x58295f4d, 0xac88991d, 0x64f016e2, 0x6050ba7e,
+    0xa6d71252, 0xb6b7f716, 0xe8f2f455, 0x0e6f8dbc, 0x266ec2aa, 0xde7f838f, 0x9f388fba, 0x8725dc2e,
+    0xc461bc91, 0x1be7f72b, 0x0bf7a33e, 0x1c66d4ff, 0x02ee278f, 0x2851d2b9, 0xb85df408, 0x8dc783a5,
+    0xd992d28a, 0x9a75e719, 0x899ed3b5, 0x132d31a9, 0xf53f606a, 0xe9773516, 0xf7f0d433, 0x62dcaa15,
+    0xfe6472d7, 0x214ff8cb, 0xffeed362, 0xde86d223, 0x6d9c9856, 0x4c625273, 0x537e759f, 0x7ac91632,
+    0xdf35c096, 0x28686dc1, 0x09947024, 0xf49078ac, 0x18f0461d, 0xca73baa9, 0x9f3c795c, 0xf0beda6e,
+    0x76729342, 0xf9770b1c, 0xbf4f4692, 0xb5b8a2e7, 0xa31ca69c, 0xc9b94f46, 0xa8800a11, 0xdccb2eb4,
+    0xf25535d0, 0xbb991fd2, 0x660f7996, 0x2d8bcd2e, 0x37649bc9, 0xd82d77f1, 0xfe01e928, 0xf3c4d6cd,
+    0x01539376, 0x335d0593, 0x686a849a, 0xd4710b66, 0x07199c3c, 0xd2b4489a, 0x39e74b24, 0xa101f85f,
+    0xc9b4ba97, 0x97889f89, 0xa08175b8, 0x51a9ebd0, 0x16aa9e54, 0xce35aa7c, 0x5bdd55df, 0x49871c96,
+    0xaa8b52ed, 0x4a310ada, 0x55d4de0e, 0x87943366, 0x0e6b873f, 0xfeb73ffe, 0x9914fd09, 0xc3147246,
+    0x0f2a03c2, 0x3a4f7497, 0x1f146940, 0xef295c35, 0xf39a6f84, 0x2a86608c, 0xadb37682, 0x39a73677,
+    0xc0787936, 0xdd9dca27, 0xd753983b, 0x90072f78, 0x231b883e, 0x19211ad1, 0x145b9d6e, 0x5f9bcfe0,
+    0x9b5a089d, 0x54549eb3, 0xb1f6f3f5, 0xc120a2ef, 0x4b59b2ff, 0x1a5600a7, 0x03bb8c29, 0x7bb1f53a,
+    0xe9a5feda, 0x6c67a841, 0xec1e4ad8, 0xa3ddfaaa, 0x1b978174, 0x1e9251ac, 0xedfedc00, 0xe379dd2f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000806953086902158934267474741250941210728033\
+                          06025913234775958104891895238188026287332176417290004307232371974124148359168 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269,
+    0x3aa01c84, 0xc52b16e4, 0x9537f7d1, 0x87a62f99, 0xaf021622, 0xae0c5c1d, 0xb41549c5, 0x2f429ebb,
+    0x00000000,
+    0xc5feeb37, 0x0507a590, 0xe1946a7a, 0x65ec1bb3, 0xf282f31e, 0x53a9178d, 0xae65e649, 0x00cd82a2,
+    0xd72750a9, 0xab41bdff, 0x6d557464, 0x0ca8e76e, 0x998d9dea, 0x49db2400, 0xdbabae90, 0x27f453b5,
+    0xcfb56a77, 0x07f2c65e, 0x145b7527, 0x1f1b3edf, 0x85103a7d, 0x5a545e27, 0x7c949b13, 0x25f635fb,
+    0x662f4a87, 0xadc7bbe9, 0x26661289, 0x8bf5063c, 0xd9745dc9, 0xa8fe9b7d, 0x37e3ce7f, 0x877b9fca,
+    0x378a0426, 0x16623879, 0xa858f4a1, 0x70cf1dda, 0xf37645ca, 0xf98d23fe, 0x0ede4278, 0x8b5a3591,
+    0x32647057, 0x11eed937, 0x0c0eb514, 0x0cc1789a, 0xc8fce7ab, 0x9c6125be, 0x5ad8827a, 0xbb0d475a,
+    0x74eeab1b, 0x241f84b0, 0xc4390e82, 0xaebd9570, 0x455cabec, 0x9068d4d9, 0xdd97510b, 0x15c4978d,
+    0x4704e948, 0x0d2d76ce, 0xcd455254, 0x26a2440a, 0xfa274287, 0x87eadd6b, 0x757f6968, 0x8fdc909c,
+    0x816b0020, 0xfd43a7b4, 0xd3587ecd, 0x4758da88, 0x0ede4799, 0x6a8792d1, 0x5a68febc, 0xa0e97fc4,
+    0x6f6a1a48, 0xc15f7ed1, 0x077b20b3, 0x8b55a0e4, 0x790d684c, 0x7559b395, 0xc41e15ba, 0x4beeb05e,
+    0x34eb8143, 0x3e2e0227, 0xb6fc2246, 0x9ef11545, 0x189fd605, 0x19d672ad, 0xb7a2556d, 0xe0b84054,
+    0x6168c80f, 0x3ab62249, 0xd3f018a6, 0x2fd34be7, 0xd1fc7315, 0xb88163c6, 0x99c968c4, 0x1f9f883b,
+    0x9d5659a7, 0x510b9348, 0x8e333ede, 0x8fef9836, 0x8174d238, 0xc972a3c6, 0x17616ad5, 0xc65e2c26,
+    0x11428403, 0xe44c480a, 0x49f7f3a7, 0x3881b080, 0x12acb7ba, 0x24b2fa37, 0x6e43bd23, 0xc275ef42,
+    0x914ceeb8, 0x2f95b961, 0x9eb50af0, 0xd5c1fa93, 0xfefb0051, 0x83f64027, 0x0c509681, 0xe63817db,
+    0x4392fe13, 0xce8c06a4, 0x85343ea2, 0x6b486b08, 0xde66bc14, 0xa6498852, 0x607036ce, 0x20c56dcf,
+    0x9a9142b9, 0xf02f2ef6, 0x4135560b, 0xed0d17d7, 0x5f903c7d, 0x55478039, 0x6c88e851, 0x8301e5da,
+    0xcd2ff82d, 0x29446759, 0x9c12abcf, 0x6ab5cd4a, 0x70de2b6d, 0xa74f0b5a, 0xe2304f8f, 0xb869c610,
+    0x04f0605a, 0xce202944, 0x9bf5e60f, 0xeae28ec3, 0x66597bec, 0xf39f956d, 0xfc21aabc, 0xe87557dc,
+    0xb24a6523, 0x213eba4c, 0x05f15f22, 0xe243b719, 0xcc325cab, 0xe275cf0b, 0x123aac0d, 0xbc7e0063,
+    0x0381d20c, 0xe6eb2c9d, 0xcfea54e9, 0x8df743fb, 0xaf58eb50, 0x8f8515e3, 0xea5e44aa, 0x13d78a6f,
+    0x597429d9, 0xc3f5efaa, 0xf32ea712, 0x29d84f5c, 0x7ed5a9e1, 0x30a048c0, 0x8ece013a, 0x895ee2db,
+    0x32796aa7, 0x3031a223, 0x8581351a, 0x57b526e8, 0x10512093, 0x89e63f69, 0x13dc02a2, 0x2e8067bb,
+    0x272e0a12, 0x298774e6, 0x04099ae3, 0xdb13efd7, 0x9fc2c841, 0x1f3a5be4, 0xf8adb986, 0x2cd29f1a,
+    0x2ecf6190, 0x38d8a71f, 0x5943fce0, 0x790ee653, 0x52a99f8f, 0x436eb991, 0xf2ec677f, 0x1c1b9758,
+    0xe3da2f1c, 0x17ca6a96, 0xfffb76c6, 0x07349aaa, 0x8785db1b, 0xc4a2769d, 0x32c2bc4f, 0x9905aa7b,
+    0x99558657, 0x36be3633, 0x1fecb3dc, 0xbc896f29, 0x61f9310e, 0x19cca872, 0x1d610714, 0x997bed66,
+    0xa44c9eec, 0x0f15778c, 0x98a3924e, 0x8432ef09, 0xc054e05a, 0xf3987528, 0x23a4a3c1, 0xa0f3a8ee,
+    0x102d708b, 0x648241ea, 0x7d076400, 0x79acaf57, 0x28e8dc43, 0xb3696b6d, 0x0765bd27, 0xb301dd97,
+    0x6bcc620c, 0x653ebddb, 0xb5508545, 0xcf609182, 0x93b8e3c9, 0x1bbc8b6e, 0x2177578c, 0xf63e6fa6,
+    0xac682b8b, 0x37f34544, 0xc172f3e7, 0x12855ccc, 0x25092673, 0xa952a998, 0xf8324255, 0x92d854b9,
+    0x7f897ccb, 0x3146876c, 0xc2eac30d, 0x0326c299, 0x2f3a94de, 0x6e248922, 0xc66b3d13, 0xa94c0147,
+    0xf88f55a7, 0x37dd9a90, 0xe159620e, 0xf26f01fc, 0x44ad6a24, 0xa844ae59, 0x0acb74b9, 0x24be4cfd,
+    0x50d2cc24, 0x9604ae09, 0x2b987353, 0x2a8e3f94, 0x18113340, 0x56ffb488, 0x5ab86473, 0xecaace16,
+    0x055fbcd4, 0x06aff83b, 0xb93fc5dd, 0x8adb1b79, 0xbb6c60bd, 0xddbbefc6, 0xa9c0329a, 0x197e967a,
+    0xcd4a1f86, 0x264c5f19, 0x1e0ad8a9, 0x72715cf8, 0x0c21b4b7, 0xaa7728b6, 0x6e5db218, 0x8d964ba2,
+    0xe98437e5, 0x01d04272, 0xe8dfac1f, 0x4f4cf171, 0x314b4ab7, 0x6af5389f, 0x08dec04b, 0x3770896c,
+    0x51d6aad7, 0x9ace34dc, 0xfc9d57ae, 0x877a4e53, 0x1a154374, 0x617ae1ca, 0x1597be57, 0x2848a997,
+    0x26908265, 0x8e6c689a, 0x6631dc35, 0x54b51885, 0x25548131, 0x71aa2adb, 0x7ea6e342, 0xe747e5ce,
+    0x615b5ae6, 0xb5555001, 0xbb290229, 0x13a467c9, 0x1b3d5c2e, 0x7977a731, 0x07ef515c, 0x656fb559,
+    0xda770905, 0xdb23a9ec, 0xd5238783, 0xcbcfb411, 0x2c361d42, 0x67d79101, 0xbd2968ba, 0xf63268ab,
+    0x3cb900bd, 0x07be40ea, 0xf4c1a75e, 0x9588b102, 0xc5544567, 0x7e9edaff, 0x431f2e18, 0x54c5b51f,
+    0x03db706c, 0x4335aefc, 0xe61deb0c, 0x68b13c72, 0xccb236f4, 0x34b98591, 0x02f312f3, 0x2417ec41,
+    0xc67fa276, 0xfe7dad2f, 0x1313747c, 0x847198af, 0x94dc4ada, 0xd369ba1f, 0xea87e83b, 0x7ef62fcf,
+    0xb76e94e8, 0x42fc236f, 0x1450819d, 0xefceee9c, 0x333a69a2, 0x428f0774, 0x52a35135, 0x57f976d7,
+    0xd679bb16, 0x84365948, 0xffca3593, 0x0d6d6ef6, 0xda18bcb5, 0x2ad1770d, 0xe0096672, 0x24fec2e3,
+    0xfc384b0a, 0x9d7dc26d, 0x298b933a, 0x16217fee, 0xae16f8a0, 0x1610961c, 0x0de18a27, 0xb1a2213c,
+    0xd6f5e685, 0xa249fffa, 0x141cf361, 0xd50c6076, 0x40cd4161, 0x5149fe18, 0x32b5f6b5, 0x1788ef02,
+    0xd7364ae7, 0x7fabbcbd, 0xdced5218, 0x7490134f, 0x8e1ce8b9, 0xfc7f5ffe, 0x794bc9c2, 0xe58c9886,
+    0x94ef793d, 0x17836628, 0xb2519434, 0xea3853da, 0x0435fb6e, 0x9c38ec8d, 0x3093473b, 0xb1e8092e,
+    0x7fad922d, 0xa20b6568, 0x48c7eba7, 0xabad8b2c, 0xaf579635, 0xeb95c63d, 0x3086c92c, 0x0e63fd53,
+    0x4c830445, 0xf19d6b6d, 0xff538432, 0x6c8e0e7b, 0xc0b4cbaa, 0xf487967c, 0xa1d6f16f, 0xfff75ae0,
+    0x7b1b11f1, 0x0345129b, 0x8bfa674a, 0x9e5dec05, 0x6c0af425, 0x87149004, 0xff156307, 0xf1413204,
+    0xc4cdcd83, 0xa2235423, 0xfa356e3a, 0x43122e14, 0xdd7ed1df, 0x397ddcd7, 0xb9dd9fcf, 0x882887bb,
+    0x2e5e9280, 0x8818eadd, 0x09217e31, 0x95aab763, 0xd91131a3, 0xeca39979, 0x84b4027f, 0x938510c7,
+    0x0a0c6931, 0x592111ca, 0x4e064332, 0xc9e84f94, 0x8d708b43, 0x4e72a38e, 0x604ac92e, 0x4ffad3db,
+    0x5d12b31f, 0xc8524531, 0x64b4a93e, 0x833effc7, 0x6b33932b, 0xe3c4bd76, 0xa6875378, 0xfb8ba0ce,
+    0x5d6b951d, 0x1433b46a, 0x25bff427, 0x7ea769e1, 0x1f35bf5a, 0x90957117, 0x9e7ac2ed, 0xd01f1d43,
+    0xe170b496, 0x6c685db0, 0xcb0c10ee, 0xffc3a439, 0x2bc190d4, 0x449d26a0, 0xebd0e382, 0x8031e4d0,
+    0x65aabcee, 0x953d3d49, 0xd1e76802, 0xc923a153, 0x63722142, 0x899f0795, 0xb66f64e4, 0x711144f8,
+    0x8ff5beb8, 0x03e89683, 0xd80fac24, 0xe41a4c01, 0x92f69666, 0x4356b66f, 0x4a3b9dae, 0xb499eda5,
+    0xa84335d8, 0x510bb410, 0x3acbecd8, 0x2dda49d5, 0xb773e924, 0x457cb97f, 0x04629f13, 0x671c7fea,
+    0x0c6bd0e7, 0x512cc517, 0xdfc72fd8, 0xd669fd05, 0x19cc601a, 0x6af649b4, 0x620900e3, 0x09802263,
+    0xd5fd367f, 0x432b013f, 0x2ca2151f, 0xdc2519b2, 0xbd4296fb, 0x1dd14bec, 0x07caff55, 0x0354a5aa,
+    0x87ff07b3, 0x2d97fb91, 0xdb80f979, 0x3c168ced, 0x9a323095, 0x1645d7c8, 0xedb42180, 0x6cd5862a,
+    0x3533a429, 0xdedae2be, 0xd489eab4, 0x16a04913, 0xba7302a6, 0xcd1fe390, 0x6bccf6ff, 0xbe99ef2a,
+    0xee9ec302, 0x005220ed, 0x196d8f7f, 0x33a4b539, 0xc6a034a1, 0xdc9df649, 0x0b5fe647, 0xfdfc3287,
+    0xcaad02a7, 0x2002f242, 0x829ba0c2, 0x2cadbe7b, 0xbd006c84, 0x4f1e89d5, 0xd245f015, 0xe0c8e1c0,
+    0x104a697c, 0xd5b25d58, 0x63599b1c, 0x2d7d004e, 0x725af4fc, 0x2327b21e, 0x9a7a73a4, 0xebc0a300,
+    0xfc58cb58, 0x5ed145ec, 0xd4534955, 0x7595070b, 0x208e6fed, 0x56a9e877, 0x9433f861, 0x3152fe32,
+    0xe68bb8f3, 0xf3fdf263, 0xc9c61312, 0x8fa5daca, 0x3bcd920b, 0x6cd57c7a, 0xbb3cd454, 0x0d5ec0d0,
+    0xc960ae13, 0xb4ecd202, 0x550d55ce, 0x1ed1a653, 0x3f0a1bf2, 0x0e8cd162, 0x755b2170, 0x5cd1cede,
+    0x8a6d0ff4, 0x571fcce9, 0xecc54186, 0xaeaa53aa, 0xa029967b, 0x3b8ba19d, 0x3c81904c, 0x6abf38d3,
+    0xcc14bc8d, 0x77a99bba, 0xe6c72416, 0x39a984c6, 0x0588a3bb, 0x35211843, 0x72285ad5, 0xd504aa79,
+    0x9b8a43e9, 0x0c46b5bb, 0xdbfa6c30, 0x651d74f2, 0x88320d16, 0x77d25c66, 0x6f15036b, 0xd9661bbe,
+    0x347ec078, 0x7219b16d, 0xc86b3b6b, 0x569a3fb9, 0x3fb7c37c, 0x51d7dad5, 0xa4bb474b, 0xc22f079a,
+    0xe46dd13e, 0xb0aff38d, 0x7f5792b2, 0xb80897f3, 0xf14ed70c, 0xee47d760, 0xb70e67b2, 0xee2ceb0b,
+    0xafb14ea4, 0x01507570, 0x84ea2d70, 0xa067ee74, 0xa71d94a8, 0x471fcd98, 0x60c9b9b6, 0xb088d1b4,
+    0x35adfe09, 0xd0e458a2, 0xe12ed7da, 0x4991eeaf, 0xc11cfc70, 0xac92db49, 0x1777052c, 0x5ae3b874,
+    0x979cca15, 0x0caaa5ab, 0x927b6b58, 0xf5cf2f2a, 0x245e2993, 0x1ef6e52d, 0x27642c78, 0x15355454,
+    0x1e454d16, 0x935ba878, 0xd66dbe3d, 0xdba2565d, 0x28c4b6d9, 0xf791c9e9, 0x23c42c7b, 0xe84d5e01,
+    0xfc18aec8, 0x11c60bdb, 0xb57026fc, 0x6f6a43c1, 0x3eef0cbc, 0xea0426ab, 0x0041c67d, 0x9997dece,
+    0x91f7e053, 0xf35b8b3c, 0xb26697d4, 0xeb0c5053, 0xb6ab1fd3, 0xa6fe7956, 0x7ffb40bc, 0x0d9a958a,
+    0x2b3792a0, 0x74ef4115, 0xcb67f043, 0x5c378d01, 0xccecde8a, 0xff6887ad, 0xcff90631, 0x9419b52a,
+    0xb4843887, 0x492f7ab7, 0xea9fb4f8, 0xa1be6e7c, 0x116bf087, 0xd474d238, 0x53c58d32, 0xba229abe,
+    0x57eba2f4, 0x24a0d09b, 0xf57a0521, 0xd72812ac, 0x055259c8, 0x8b5378fa, 0x757e462f, 0x174cf210,
+    0xe280fbb8, 0x01bbd723, 0xa9b21c29, 0xce9f92eb, 0xaef1ccc9, 0x56f68f17, 0x8730c0fd, 0xe1b2e79d,
+    0xf8344585, 0x97a0ba81, 0x6fb57c84, 0x817447d7, 0x4ed5535f, 0x9f6a7968, 0x2c6b2f85, 0xc7ebec9a,
+    0xb5a8b20c, 0xdba97ff5, 0x6ef1ac22, 0x766c2492, 0x47e2fd85, 0x1c036ad0, 0x98b34af6, 0x85ace40e,
+    0x66f3c475, 0x6a57fa2d, 0x244be499, 0x7cc8a856, 0x6d17f8f5, 0x8147fd3d, 0x7f7dcb83, 0x45756b81,
+    0xb15b2898, 0x1dff10a8, 0xe1c3195a, 0x4126d1ea, 0x7f7f6f45, 0x1308e7f5, 0x8afa7b84, 0xb3c29540,
+    0xcbe566df, 0x6caf2b29, 0xbaade043, 0xd9709a3a, 0xccec88b8, 0x3882d0ae, 0xb778b6ea, 0x37408426,
+    0x6e65041c, 0x78d73863, 0x770b2fac, 0x5303b258, 0x9570857f, 0xff197087, 0x7f2be2cd, 0x2ba9983c,
+    0xbcc7d68e, 0x25c7883c, 0x0ada3dc5, 0xe66815cf, 0x5cee85f3, 0xc83cde51, 0x9f64bf38, 0x76a72aee,
+    0x976e0101, 0xa4a41f53, 0x8004e63f, 0xe54e10c6, 0x4d700d8d, 0x5b7d1ecf, 0xd1ac4a3e, 0xc5619fcc,
+    0x51adede6, 0x42bc445e, 0x6b5f0bad, 0x7a97fa1f, 0xbc90990e, 0x46dbb5e5, 0xa7201cc4, 0x48eba75d,
+    0x52404277, 0xcb93a3a6, 0xac170928, 0xa5cbf777, 0xca33fb67, 0x509e4341, 0x78c31905, 0xc494f4f0,
+    0x7c87aad5, 0xd5f553ee, 0x86d83f7c, 0xf1be009c, 0xb2a5e942, 0x47c9ac34, 0xe13bb697, 0xe602b4ec,
+    0x8d3c2dc2, 0x145a5af2, 0x45f99444, 0x0ae36574, 0x872aa71d, 0xa7865959, 0xf1087ab5, 0x1bd89c31,
+    0xf954482e, 0x6e096ab2, 0x44b8d9c6, 0x941ff99b, 0x5e3c64be, 0x333cbbf6, 0x53fabd96, 0x7b548363,
+    0xcf4eed5f, 0xc2e09f94, 0x4728097e, 0x2284416a, 0x6f7822eb, 0x6b209e4a, 0x7a192cd6, 0xbb99cb1e,
+    0xcd84d341, 0xe5f9ec53, 0x877cf057, 0x97945eb4, 0x403d9187, 0x2716bed6, 0x11ef0526, 0x05495456,
+    0x647f3cc0, 0xaf2bba0b, 0xf6480d3a, 0xe43b2e7a, 0xccc076af, 0xcd0b7df5, 0x9f4d40c8, 0x5839efd9,
+    0xe487fdfe, 0x7a135e45, 0xa018dc93, 0x2388c968, 0x8311eece, 0x3de2dbc9, 0xb068ec3f, 0x74900cc6,
+    0xf13d608e, 0xb376acea, 0xcd7f3efe, 0xa303e8ac, 0x319ea734, 0xbf07414d, 0x0644e525, 0x82969803,
+    0xe08a0fa5, 0x480dde70, 0x097ed757, 0x32deb1c2, 0xd54a2eb8, 0x791f0758, 0x8b36b4c8, 0xbca0ab66,
+    0xd2f72927, 0x1fa5c39d, 0xcc95f1f8, 0xa77d8f62, 0x741ca418, 0xf9514c90, 0x4078c203, 0x06109431,
+    0x71ec8100, 0xfcbd3422, 0xf0f059a6, 0x3c5840ec, 0x1bda55ac, 0x6ccf2e90, 0xbabdc6d0, 0xb8128d11,
+    0x82ead56b, 0xb655afb1, 0xcef94dc2, 0x55a63e6f, 0xdac30e98, 0x2a4a5f04, 0x0612a126, 0xccb464ed,
+    0x1a11db02, 0xef810f3b, 0x044e92ea, 0x29f0237f, 0x7c5552a5, 0xdbac7ed7, 0x39f84489, 0xd53aba3d,
+    0xdca3199b, 0x3e4eb37c, 0x53e9b9f0, 0xb2fb1d80, 0x1290e8ea, 0x141004bc, 0x28793b08, 0xc6959a1b,
+    0x6886b65c, 0x5448b29e, 0x9221e52e, 0x97171a8d, 0xd641a516, 0x7937367c, 0x4fc5bf12, 0xf7810d05,
+    0x1286fd53, 0x825d42e5, 0x56d8b11e, 0x81481506, 0x0f580372, 0x31b741ce, 0x48fc5ab9, 0x4bc04175,
+    0xdb7bdf84, 0x081b48ed, 0x7bcbb030, 0x18ae8ce4, 0x51322721, 0xf71ce96a, 0xa4b512d0, 0x32254b68,
+    0x3dc02d54, 0xb23f9663, 0x788f164d, 0xcd91a080, 0x7b5d6cba, 0x1450b16e, 0xc96952a5, 0x54122c58,
+    0x9d05dd12, 0x94b8ca1a, 0x7dd0056e, 0xe456a1ee, 0x0923bba1, 0x63a457ba, 0x1c567b37, 0x65b47deb,
+    0x391c5c6d, 0x953eb4a4, 0x1f1b0c8a, 0x28a2187c, 0xd4edd00b, 0xcdbd70e7, 0xf1155ff3, 0x0c454ac5,
+    0x689a1603, 0xbf097ce1, 0xf37be19a, 0x66ad8273, 0xc94eafdd, 0xc979ce55, 0x677aa7d2, 0x51cbbbde,
+    0x45e9810b, 0x0551bb5f, 0xe3d24dfb, 0xce8bfa00, 0x94261134, 0x84c2291c, 0x3deb7e3f, 0x52745979,
+    0x6e48e2b2, 0xb9a40c43, 0x9bdb66ce, 0xd3cc9a8b, 0x21b79c3f, 0xd8dc0f85, 0x0d1e7fbf, 0x53902480,
+    0x8013c950, 0x60030db8, 0x7d0ff005, 0x95ae2b21, 0x4987da9c, 0xcfdc05f5, 0x4b489fb8, 0x809b1e63,
+    0x83489fc8, 0x8d93336d, 0x1922f572, 0x442a7262, 0xc19555cb, 0x61e30da0, 0x198a5aee, 0x44263cfa,
+    0x855e5c91, 0xb78dec90, 0x3243c90b, 0x839e23a9, 0xcdfaa433, 0x07d21875, 0x8d8dc423, 0xff5e161f,
+    0x41a48757, 0x4d4e60e9, 0x84235beb, 0x5eb9387e, 0x235ec99d, 0xd7e0dfbb, 0x58b3e147, 0xb015d196,
+    0x36ac1e82, 0x2c98a3f2, 0xcf5c709d, 0xff6392a1, 0x8e10f8c5, 0x2d8800e0, 0xab820486, 0x84426a05,
+    0xeb12e43a, 0xf0cb8636, 0xe2999262, 0x333d05ec, 0x9f0d8467, 0x55f5e6f8, 0x55763047, 0xd7625b4c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000403476543451079467133737370625470605364016\
+                          53012956617387979052445947619094013143666088208645002153616185987062074179584 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934,
+    0x9d500e42, 0x62958b72, 0x4a9bfbe8, 0xc3d317cc, 0xd7810b11, 0x57062e0e, 0xda0aa4e2, 0x97a14f5d,
+    0x00000000,
+    0x9f324032, 0x35c76257, 0xf99de4ee, 0xf9343842, 0xf49fa476, 0xbfd18a84, 0xe7b1fda5, 0x8aba4440,
+    0x3068e58a, 0x44af7dd5, 0x0b0ac7de, 0x6bb15c02, 0xb1e362b1, 0x9da16175, 0xcde02ce3, 0x23a7aa06,
+    0x184a5f4d, 0xf9ba5fc4, 0x234e197d, 0xc3f232c9, 0xb41dcf08, 0xe466b45b, 0xb8447110, 0xbc5de4b3,
+    0xec5f8b50, 0xc559a21d, 0x523bfda1, 0xf2022589, 0xf956f88b, 0x4072ce0d, 0x838d8967, 0xf7a6a7a9,
+    0xcfb4568f, 0x0400b538, 0x0d3ec5b3, 0x4a4772de, 0x818c05a6, 0x2f9335b3, 0xd142ffb3, 0xd6e5aae6,
+    0xd2fcf162, 0x42a3998c, 0x26ae9fe4, 0xc10be28b, 0x35ed9305, 0x14ba2a63, 0x85bdaef9, 0xcbb5f857,
+    0x4ee8f473, 0x00c60312, 0xd2d184af, 0x42ddc4bd, 0x0277eec4, 0x725f6ae4, 0x89089cc3, 0xc542002c,
+    0xf407ca2d, 0x4220c349, 0xd96f3794, 0x6de9f155, 0xebf6e022, 0xb39fdda4, 0x5f39d453, 0x4e24d891,
+    0xc0b1cbaf, 0xd70a3eba, 0xdaa27406, 0x11d58329, 0x106609d3, 0xea129bbc, 0x5b6efe5c, 0xd7843c61,
+    0x569bd7d1, 0x0e4db492, 0x506ab95d, 0x3b29edca, 0xa8252875, 0x4e0e1c9b, 0x48930f38, 0xf78c6a1f,
+    0x577eaccc, 0x73eb5126, 0x9032024c, 0x091b3007, 0x29a88da8, 0xbb347f68, 0xe548215d, 0x99719f32,
+    0xf2be4e80, 0xcf099e47, 0x05cad911, 0x01e450ca, 0x2a827f17, 0xae1c93cf, 0x8e7de007, 0x67e6eb1f,
+    0xf3e182ef, 0x6f67b393, 0xaedf9f8a, 0x83b389a3, 0x9b761d35, 0xd988e3b7, 0x65115cec, 0x14e948af,
+    0x592cdc7a, 0x91e55622, 0x8f74f4f9, 0x1aec8de6, 0xea66a9cc, 0xe1376247, 0x3afda952, 0x78c22de8,
+    0xba454931, 0xd0adb8b2, 0x987dd9b2, 0x386f0f0d, 0xe559b1a9, 0x69e55b49, 0x2c5f2f71, 0x6c444f26,
+    0xcfce36ef, 0x4ca932f4, 0xf9d26001, 0x58997de8, 0xede1f032, 0x4f8193c2, 0x16a378e2, 0x784a518f,
+    0xd5a631da, 0xa11ff31d, 0xd61a5647, 0x4b359eba, 0x86bdfcda, 0x982391d9, 0x5c0e7152, 0x24738590,
+    0x0bca5713, 0xef891ba4, 0x893c6efc, 0x01eb93e3, 0x6a5a1f22, 0x7c2f1aed, 0xd556630a, 0xc1952929,
+    0xbdb2e6a1, 0x21f3e6fe, 0xfd5b06d8, 0xafd2b143, 0x09edecf8, 0x345e9238, 0xecf80e4e, 0x3694fe97,
+    0x879519f0, 0x00199ee0, 0x808af8bb, 0x556077cf, 0x12a2af11, 0x40673f4b, 0x16372148, 0x6cda921e,
+    0x47855f9b, 0x14cbd23c, 0x18f392d0, 0x7bf342b7, 0x60e9e4ab, 0x7c1757e1, 0xd85fc7a0, 0x52fc61f5,
+    0xeda0d563, 0x8766b1ce, 0x93d7b738, 0x5bf9f7d5, 0xb9fb8fc8, 0x715afe39, 0x7061d20f, 0x0a7767e9,
+    0x2d2f27d9, 0x71282aeb, 0xbaa000cb, 0x7a084c9c, 0xc46f1912, 0x926779ae, 0x99c77ff0, 0xe37be056,
+    0x5f50e7af, 0xd42a9325, 0x3658d44d, 0x8f172679, 0x909293e3, 0x1465e25e, 0xd5041e06, 0x034fe790,
+    0x1c2a806a, 0x2977d22f, 0x494383fa, 0xf5b1da35, 0xbb94f81a, 0x2c2e07d3, 0x898bee52, 0x31169059,
+    0x8dc889a4, 0x5f023002, 0x36588841, 0x6e33e963, 0xefea5ecd, 0x880e7184, 0x2ce0429f, 0xa807c82a,
+    0xa0b99869, 0xedf77922, 0xc6802f30, 0xd8a1f0d1, 0xea528364, 0x78ade5ab, 0xe8e7bee2, 0xb3040b61,
+    0xda5bab8b, 0x7eed9754, 0xcf38be93, 0x400af486, 0x27910096, 0x7f44ca5c, 0x8fb7859e, 0x78bb0c6b,
+    0xa026bdd4, 0xde245fe7, 0x632b5183, 0xc7e6b3bc, 0xe39a1c4b, 0xa60e2281, 0x645e77d7, 0x62d44686,
+    0x28d373ab, 0xc020a2de, 0x7c3674bc, 0x7b023949, 0x72e89a53, 0x1f364484, 0x1e16e1aa, 0xec078ced,
+    0x16e32b30, 0xa13e5838, 0xf2c423a0, 0xee5aba2f, 0xd05cdb4d, 0x47dcc32b, 0x5cfa7757, 0xd57b7ebc,
+    0xa6bd14eb, 0x7f89f953, 0x3c62c5f4, 0xb0025291, 0x644db5d7, 0x1c1f0097, 0x38bdfabf, 0xc24b0623,
+    0x0ee482b8, 0xfb5ebe69, 0xb95a6555, 0x5a8ebbb6, 0xef1955cc, 0xbff1bd9c, 0x8f3acaf5, 0xf49f2a62,
+    0x890ff617, 0x58d43fe9, 0x04004346, 0x0c506206, 0x4b3ede3d, 0x1811bc03, 0x63035e61, 0x2299852e,
+    0x577a6799, 0x195210e3, 0xe41fd666, 0xb13bb488, 0xec83c37e, 0x986fdb87, 0x748b1fdb, 0x7e6be409,
+    0xf23c261f, 0x74b9d2d2, 0xaff13714, 0x01dea7d7, 0xd1fa413e, 0x6341b0a7, 0x678cf506, 0x461e8588,
+    0x5acc15b0, 0x7c596aa9, 0xa7119367, 0x5a928f18, 0x973a7929, 0xaf10f8ad, 0xcbe07333, 0xd29e5ea4,
+    0xc9c986a9, 0x5bddca93, 0x34058f1b, 0x0e1d212e, 0x6f76575d, 0xb663a628, 0xfc1c9ccd, 0x98d034d6,
+    0x060c0089, 0x2c26a0ca, 0x43ad996f, 0xb8b2f424, 0xace67ca4, 0x90b45b9d, 0x9d0c9de3, 0x2f07def6,
+    0x3020e1d2, 0x443cf0ab, 0xf9a9287f, 0xaf8a1afd, 0xedff1c2f, 0xb9de6370, 0x5b8120ea, 0x4da9b56c,
+    0x3134c148, 0x13a8520d, 0x2532105d, 0xe594860c, 0x18bfa6a3, 0x9621114f, 0x5c8d37eb, 0xe8ff1c60,
+    0xf57086ed, 0x739552dd, 0x19f41b73, 0xe2d7e63b, 0x37d5bdd6, 0x0d821c09, 0x4c9e91c9, 0xe4600948,
+    0xee3425e6, 0x753f196b, 0xd9c1a93b, 0x439ae37c, 0xbf92070e, 0xceb04a17, 0xa9f9cf3c, 0x01ba518b,
+    0xf9aa893e, 0x5988170f, 0xef9afaaf, 0x3aabc81b, 0x1911fbcd, 0xf8830541, 0x53b5f3e2, 0xc7037f1e,
+    0x805d89b7, 0x3641091f, 0xa02b5607, 0xde3766a5, 0xfc188d36, 0x8ace03bd, 0x8b872d74, 0x22de4745,
+    0xc958886c, 0x4a450655, 0xaa0ed7b9, 0x1cd0376e, 0x7ebce53c, 0xcc52ee29, 0xf636871a, 0x9e4fdfac,
+    0x0fbb6b76, 0xe6d1c17f, 0xc1782a3c, 0x7f8e0d16, 0x4edddf24, 0x49b34f1d, 0xa055dd92, 0x5beab447,
+    0x2c619fe1, 0x5ab59580, 0xd8f50e44, 0x8eba48c3, 0x482675b7, 0xdceeb82b, 0x88acb1b7, 0xaf6667e1,
+    0x37186dac, 0x32321e1d, 0x0b1a4d3a, 0xf72b2a62, 0xc18e1f93, 0xb49f869a, 0x8104c59f, 0x122bce2b,
+    0xbf44f808, 0xca1c5fea, 0x666ee315, 0xfb8e26b3, 0x7bc2af6b, 0xe5a99c1c, 0x16a00c05, 0x5620bcd4,
+    0xfede5458, 0x94937274, 0xf70c802b, 0x5c909966, 0xee93aae5, 0x534d52a5, 0xd3158d40, 0x15814ddb,
+    0x282cf014, 0x4052fe50, 0x3329395f, 0xd67dcbb5, 0xbfc91502, 0x24263d75, 0xe611b21d, 0x97c949c2,
+    0xd80800b8, 0x96ef6607, 0xcb25c3c3, 0x3442cf5c, 0xdb220cbc, 0x4e3f172f, 0x93569970, 0xcd9610c4,
+    0x5cff361a, 0x68a06811, 0x44ea6e46, 0xab4d7869, 0x04361a25, 0x743015ef, 0x4b15a6aa, 0xff998efc,
+    0xb8148354, 0xd7cb2a74, 0x72f1f6e3, 0x21bc657e, 0xacbc47b3, 0x438e9216, 0x1acc1f0e, 0x66c00154,
+    0xe471291a, 0x06178ccf, 0xff6fed23, 0xa776dc85, 0x3f7b8796, 0x3bc8a08f, 0xcfd89534, 0x5ff3087e,
+    0x7ea18301, 0x3b29f781, 0xc36ea7cd, 0xdb941d3f, 0x7f9a7e98, 0xab556389, 0xb29a4312, 0xdec0a4a8,
+    0x3071d7d7, 0xf9042b94, 0x4cbb8a06, 0x2a30c2ff, 0x30e4b0ee, 0xbd8a844e, 0x7d1df6c3, 0x2d31e7c8,
+    0x3e01f404, 0x00190451, 0x158b51d3, 0xaf8a898e, 0x1a7c16ff, 0x2bce7561, 0xb3c2347d, 0x9bb252b5,
+    0x80d4dc34, 0xf93ed24d, 0x59136963, 0x070128da, 0x4135bb24, 0xe819f6c4, 0x149bdf3e, 0x2ac48097,
+    0xefda5255, 0x90c124a9, 0x64e033d0, 0x380a4521, 0xc2c28b40, 0x76bafdfe, 0x917f21dd, 0xbe2796b9,
+    0x4b473fe8, 0xda18b708, 0x711237fa, 0x8b772ffa, 0x2c250e14, 0xe22da895, 0x37632517, 0x691d4cd7,
+    0xc4deb550, 0x1b969329, 0xaeb4f4fe, 0xf42a209b, 0x41a9b467, 0x0fb780d6, 0xef873503, 0x1a66eb6e,
+    0xf75021df, 0x7fc93e9a, 0xee40df2b, 0xf570f706, 0x5c3f2233, 0x778833f9, 0x4183a43d, 0xc79ecdd5,
+    0xd461df0a, 0x7b8a5cec, 0xccd4322d, 0xaa02e27c, 0x98f4510b, 0xc6c3f141, 0xde98a6c5, 0x39761f7d,
+    0x81e0c401, 0x6429910e, 0xf04ec15c, 0x4f1f7923, 0x41ca8cc7, 0xa3175841, 0xd54d4bbc, 0x38229988,
+    0xf4f7e272, 0xfdbeb6e0, 0x717f9d91, 0x4a08ee1b, 0x14e3af61, 0x2ed0e2d7, 0x465fa107, 0xc100a5fa,
+    0x53939b8f, 0xa3b4efb1, 0xabf91b57, 0xedd1c380, 0x17f0c919, 0x79d52a2b, 0x14cefc7b, 0x3552f462,
+    0x8cfe1f2a, 0x2776ee19, 0xcfdf954d, 0x5ae16998, 0xcc08b2c4, 0x5e78dbc0, 0xc229f7f5, 0xb2af45da,
+    0xde1c12e7, 0xd90239aa, 0xa117d933, 0x8480e6a8, 0x35de2821, 0x7dc7e4cb, 0xc7cbe874, 0x068852e0,
+    0xbe3ef79e, 0x24d35b75, 0x9ce71d3d, 0xfcd4d313, 0xfb7b8e84, 0xafdbb130, 0xdaf441f6, 0x71f2d277,
+    0xa35b4b62, 0x5c2f1450, 0x8df875f4, 0x03defb2c, 0x17e73d94, 0x8a9b23ce, 0x192dc700, 0xb58d0e10,
+    0x1ef29b22, 0xdc5979d2, 0x05b9b1e7, 0x49fed73b, 0x0bb30650, 0x42749379, 0x66cef868, 0x3600bcf7,
+    0xa5f3c67e, 0x7e8954ee, 0xf2017dbb, 0x6a5933fd, 0x1ffe99fe, 0x8df81a0f, 0x3568e41f, 0x0f215580,
+    0x014ae04e, 0x6f65b138, 0x0260e526, 0x8f4aa5f1, 0x756d5485, 0x8a3d6352, 0xd3e3c5b4, 0xd571cd03,
+    0xe17738a3, 0xb5190c2b, 0xb61080ca, 0xda56a957, 0x07c07bb3, 0xed9b706b, 0x71f0e7aa, 0x44f91401,
+    0x127309b0, 0xfa00f6e1, 0x9f9bc994, 0xa577225f, 0x6094b1e4, 0x483cc2e3, 0x83e99fd2, 0xeffa440b,
+    0xf156f16a, 0x47a4f41f, 0xbb3cf2be, 0xdf8b8a05, 0x5d542471, 0x8edc4a4a, 0x3d49af80, 0x436e1a3a,
+    0x59b3c760, 0x041cc591, 0xa46a9032, 0x6ec73f07, 0x1d1f89d9, 0xfaba83f2, 0xd9c3dafc, 0xf7d5f33c,
+    0x7afcb269, 0x0c16c02f, 0x39232c6f, 0x78609702, 0x424760f1, 0xf742fc4c, 0x36cb44a0, 0x6d6c70b2,
+    0xe1286c9f, 0x30a54e9b, 0x45abac47, 0x0641f3ea, 0xb97b96a4, 0x75561de3, 0xf4354b38, 0xa3d0d1ec,
+    0x77aebc90, 0xe9096f6d, 0x04cb77c5, 0x76077f89, 0xcc7691b0, 0x79030d85, 0x286b3f5f, 0xb33063e0,
+    0xd64ca1f7, 0x209c8902, 0x33c93445, 0xcfe2ad4a, 0xdd6aabb4, 0x638ec870, 0x515c29e0, 0x5686d809,
+    0x3497048e, 0x2428c468, 0x1a3cb485, 0x92a742c2, 0x90c5f2b9, 0x3a88ac61, 0x633f342f, 0x1d0c49a8,
+    0x73409a84, 0x49616d01, 0x1bb6a4f1, 0x8fccd7dc, 0x878919ae, 0x750c772a, 0x0c9e2b63, 0xaaf8c3ef,
+    0xf579fa5e, 0xff0ab2ca, 0x2ac061be, 0x13039e7d, 0x042ab495, 0x489cc152, 0xbe755f8f, 0xebc41cbb,
+    0x49db3fd4, 0xc981fa25, 0xb35a7e89, 0x2ee476cb, 0xf8826833, 0x1298d216, 0x4872e5a7, 0xff322a20,
+    0xbb7da8f8, 0x3a27c078, 0x3e5091b1, 0x0957d602, 0x0046428a, 0x4cbbce42, 0xede8de01, 0x31274132,
+    0x27dabf47, 0x64f60297, 0x3a0e7df1, 0xd9bbabc9, 0x75a244e8, 0x150cdc63, 0xfdd6c407, 0xf7f72fe3,
+    0xcc99afb2, 0xc61b03a5, 0x5b337176, 0xb55100ab, 0x8d4181c4, 0x378e933d, 0x481f2073, 0x07fd38da,
+    0x50585ff4, 0xfd193c57, 0xce684a68, 0xa86dcfbd, 0xe2b32bce, 0xa142d114, 0xa72f02db, 0x5e7b736c,
+    0x3125aca5, 0xf4107a22, 0xf14f5a7d, 0xbe63f93b, 0x50923632, 0x20a957dd, 0x23f5632b, 0xdac421e1,
+    0xe01896ef, 0x2f16ff0f, 0x0966771f, 0x0b538b8e, 0xc5832827, 0x4dc90dd0, 0xbf2549ce, 0x3ebbff43,
+    0x6ce417eb, 0xc3c0e7e8, 0x8d2865a1, 0x5bc49fb6, 0x8b699b94, 0xce07ee37, 0x154093fd, 0xdc945def,
+    0x3ddde211, 0xe8fe0b0b, 0xaa076bed, 0xbb6504cc, 0xd7184cd8, 0xdbbf62c8, 0xf0d77876, 0x911cded1,
+    0xc7e298fe, 0x77b8b593, 0x67839f3b, 0x1df13d61, 0x4be0bfea, 0x5483fa37, 0x5cccd759, 0xc892dcaa,
+    0xc409e302, 0x28d63d78, 0x27aefd82, 0xecd6f59f, 0xb2a0b8a7, 0x211cf26f, 0x4ca1ffdb, 0xf3d37937,
+    0xcdfbc285, 0x066d161f, 0xfb92eb02, 0xb8fbdd07, 0x7cba1216, 0x66153c96, 0x32704110, 0xb335a976,
+    0xc9d0744a, 0x22a855a6, 0x1516d121, 0xec2bb46e, 0xfb025df5, 0x5ceee54a, 0xf2495748, 0x39a2dd1c,
+    0x39d90449, 0x7f55f83e, 0x5621083a, 0x35a4bbf6, 0x2f7b50d8, 0xe8868a3d, 0xb0b2758a, 0xf9a8df1b,
+    0xa84e9d25, 0x72123e5a, 0x2aee7bce, 0x5dd5b551, 0x7e8b1139, 0x54cc565b, 0xb9a87d79, 0x229ab7a7,
+    0xbf24ad10, 0x2a7791a8, 0xd55fa8fe, 0x844b316d, 0x5575497f, 0xa2e9fe10, 0x40c69198, 0xca5560a4,
+    0xe632a2e7, 0xd60bb5b5, 0x8bd90350, 0xf2623580, 0x6a2367c4, 0xa8ea2de6, 0x80faedee, 0x3a840072,
+    0x52054640, 0x6bed0c32, 0x2a34940c, 0x81b4b556, 0x6e50041f, 0x6aa39199, 0x4d8d4caf, 0x7cc53752,
+    0x426a3723, 0x55c4803a, 0x93bdbe06, 0x1281fd0d, 0xa8b2c3df, 0x57197b78, 0x29d36bce, 0x35404701,
+    0xaab48a20, 0x7fd6b8d2, 0x92d472ba, 0x91f0c2c1, 0x275978a1, 0x06afcbf8, 0x935b7b77, 0x6aa586dc,
+    0xcb3e3fca, 0xe2c11feb, 0xe5ada83e, 0x78412eb5, 0x4a8658ee, 0x3849b85d, 0xeb75f967, 0x85409ef4,
+    0x49da9c38, 0x29754191, 0xdf945b06, 0x584dff6d, 0xc769ebe0, 0xeb46c047, 0xdd536567, 0xdcb2fab8,
+    0x0fe26e95, 0xde58f597, 0x89481480, 0xbdf5c35c, 0xd4ba8b01, 0x310638d9, 0xdba242e8, 0xd08bf5a8,
+    0xc3cbf61b, 0x031f5e53, 0x7ff0b9cd, 0x660757f8, 0x5b6dc1c6, 0x600a8fbe, 0x53dcaf91, 0x6db6fe50,
+    0x12bfa801, 0xe29f2088, 0x8dbc0a51, 0x23346c9e, 0xbc886e8d, 0x558c0c6c, 0xa0e2ae6e, 0x1eb9d862,
+    0xb8ea333f, 0x5e64294d, 0xf73ab7af, 0xbb69bb71, 0x8bd1a30c, 0xd2f5d4bf, 0x9f128753, 0x548ef0a0,
+    0x108d450a, 0x09c93d73, 0x53f3af61, 0x6320f793, 0x590912e4, 0x91f86179, 0x7002b004, 0x93d398ef,
+    0xc2bf626a, 0xfbeeeb7c, 0x598a4334, 0x8bab9218, 0xeb29c81d, 0x0cef14a6, 0x9a3eaf2f, 0x22a05e6e,
+    0x8284caed, 0x336e47b2, 0x2d68c0fb, 0xe31398f7, 0x97fe5093, 0x782f3850, 0x44503b29, 0x2c53b752,
+    0x146520f5, 0xbb35a1a1, 0xb146bfde, 0xbc85cc16, 0x26ca28b6, 0xecccdcb7, 0xd8feb733, 0xaf1f9268,
+    0x109edbdc, 0xd5fe0de8, 0xa4ce3dae, 0xc2696fa7, 0x619c4d34, 0xc13cbc80, 0x7d5166ce, 0x6aec9c16,
+    0x4b0ab25f, 0xe534b2c6, 0xcaf23d5e, 0x3de65768, 0x0369d742, 0xe0387dbb, 0x47f954b8, 0x18e03af4,
+    0x47a0be7f, 0xa7dba1ef, 0x57674ea8, 0x9a11f396, 0x19eaa3a5, 0xa7d9378c, 0xd1dffcd7, 0xb97f6f3e,
+    0xd0793c9f, 0xc8a08c1c, 0xd214ea08, 0xc71c95bb, 0x96efdc56, 0x76024c57, 0xa080d0c9, 0x3c27b6de,
+    0x70a4de81, 0x66b6074c, 0xbf97edb1, 0xeb3bc821, 0x9d103b0e, 0x2adf3783, 0x8b916b47, 0xc6c534b6,
+    0x694c22d3, 0xc361e6c5, 0x16efdf13, 0x9ea26d14, 0xdb335ab2, 0x00dd674f, 0xcd709257, 0xa8e0e398,
+    0xd229033c, 0x2d05d115, 0x06db8ddb, 0xf095dede, 0x27ad52f6, 0x0f471b51, 0xae4a645d, 0x96d23206,
+    0xf2770127, 0x41ccc7c0, 0x6e0544bf, 0xa92319bf, 0xf0ddd5a2, 0x60d81b87, 0x6c1a22a4, 0x9b7e8bf6,
+    0x96b1af60, 0x95546a10, 0x7a81e506, 0x2089f34b, 0x13655b46, 0x281a7508, 0x44de68ff, 0x9d141f6a,
+    0x96c7ffa7, 0xc73b3598, 0x558dc3a1, 0x23fadeda, 0x20e6a6cd, 0x9318d7d8, 0xb30f3459, 0xd237b405,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000201738271725539733566868685312735302682008\
+                          26506478308693989526222973809547006571833044104322501076808092993531037089792 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a,
+    0x4ea80721, 0x314ac5b9, 0x254dfdf4, 0x61e98be6, 0x6bc08588, 0xab831707, 0x6d055271, 0x4bd0a7ae,
+    0x00000000,
+    0x8ebf9ba8, 0xfaacb107, 0xe00f4d44, 0x5c3cc6bd, 0x103230f9, 0xc2389509, 0xcd0f801b, 0x2f70b740,
+    0x20a2695b, 0xf5491428, 0xdf2c6c7e, 0x290b5fe8, 0xbdce457d, 0x7c341428, 0xea6e3ad8, 0xa09f82e4,
+    0x212a4d40, 0xa20e8a6e, 0x6ca7f5d3, 0xdb245113, 0xe04e4146, 0xe6c2c1f1, 0xdc4c6ee0, 0x4f01ff98,
+    0xa5a18959, 0x1073254d, 0x20ebcd33, 0x44b9e5f0, 0x3bdf45fd, 0x91ddbeda, 0x12043c3b, 0x8da977e0,
+    0x26530ddb, 0xb9d8b204, 0x751fa606, 0x076eb6ec, 0x25bb9088, 0xe9fb2f5e, 0xbaf65313, 0x7a3c48e6,
+    0x14707fea, 0xe09b795e, 0xbbe3b540, 0xf8e489b0, 0x17cc4a4f, 0x7b32369c, 0xf73f1ef0, 0x9d2ab584,
+    0xcd6c3d2e, 0x43eedee6, 0x5c11494f, 0xf82c30b4, 0x4f32d605, 0xf004b34b, 0x70430789, 0x4c3d116a,
+    0x88fc569a, 0xa6615c9b, 0x79281074, 0x2aec1a62, 0x80d16841, 0x4e80b11b, 0x209cdc2e, 0x7c1e21d0,
+    0xba137ddc, 0xbd52bc8e, 0xbc6c3a65, 0xc135ab23, 0x1633281f, 0x456135cf, 0x52dc8df8, 0x1c445618,
+    0x07be84e4, 0xa5ce24a5, 0x585e3142, 0xf12548a6, 0x558e3b4e, 0xcff8540a, 0x257061d9, 0xb9a03798,
+    0xb400bf7e, 0xada36d66, 0x6b38d415, 0x24c5944c, 0xe913beed, 0xf19924ad, 0xb9d890ff, 0xdd8769fe,
+    0xba6de716, 0x87bab59b, 0xfbd0faf8, 0x04eeb576, 0x07a06840, 0x7fdd83e4, 0xb8a50170, 0x3fe81b18,
+    0x6b4cb72f, 0x5a99344e, 0xe6a0b842, 0xca350cda, 0xb98aa92e, 0xa2f17cd2, 0x39ad6a1f, 0xbcee3c1f,
+    0xabfdb8d1, 0xc64f63a6, 0x897be7b3, 0xa6db31d4, 0xd44450d4, 0xae7f0961, 0xff296828, 0x0845cc1b,
+    0x11eb5e72, 0x5341dcf7, 0xe3566719, 0x680ffd62, 0x12d3f8ec, 0xc6fb9f01, 0xeed3412f, 0xbb78ae69,
+    0x50b4c79d, 0x765a418a, 0x4f568646, 0x041dc3bc, 0x00bbd0e2, 0x371b7a64, 0x7cdf9e39, 0xa868ce0a,
+    0x412f8ffb, 0x84222c4a, 0x608d6d54, 0x0257d5ea, 0x023c1562, 0xceb2821b, 0x9ae95f1e, 0x0d9e8103,
+    0x1856beb1, 0xf4f94498, 0xd4165bfc, 0x43fbd96c, 0x4dc1b93f, 0x5f9cc083, 0x4b4375cf, 0x550fc37d,
+    0x541e291f, 0x1870bb6f, 0xbd4dd34f, 0x4c84711f, 0x70bf0e77, 0x0a9531eb, 0xfc70f3a8, 0xeac7482c,
+    0xbb38b397, 0xa2348507, 0x10f2f86c, 0x08fb88e5, 0xdc048e0f, 0xd0ddfc85, 0x5058f2c7, 0x12d1ae87,
+    0x49a8dff4, 0xf422e100, 0xa6b09c21, 0x97e822a9, 0x50a8e272, 0x0a712d01, 0x59b545a3, 0x02e4843e,
+    0x5c48545f, 0xaa46b306, 0xc302e559, 0x7637543a, 0xed507cce, 0x6ee529da, 0x0e39f236, 0x9ddf256e,
+    0x9a7078b3, 0x1ea82b12, 0x30a5f7b1, 0x4bba2360, 0x8826a55a, 0xac96e183, 0xf8c2066b, 0x30cdbd51,
+    0xbb2c481d, 0x87806448, 0x9a2ace10, 0x41b5cbbb, 0xf6cb8d46, 0x8f076c7e, 0xfb8541fb, 0xfdf285b0,
+    0xb9b938c0, 0x1538b5e0, 0x57fce788, 0x1bb36ac7, 0x8858bec2, 0xab08ddc5, 0xcc78bcd4, 0x2f3c4682,
+    0xecbc13c7, 0x03aa13a7, 0x1ce1e739, 0x4eaba413, 0x369784d0, 0x0a1fca41, 0x2216aa3b, 0x83b9ebb2,
+    0xa22e8966, 0xbfb4db67, 0xa6a5edbd, 0x0ba21779, 0x19124453, 0xf266945f, 0x4508fef9, 0xbea8b208,
+    0x110937f3, 0x28fe8a15, 0xfd7f1911, 0x3d558f96, 0xcb997fdf, 0x8ca70535, 0xcab3cf94, 0x6c5da589,
+    0x46468403, 0x5fa4c764, 0xb339460a, 0x52338100, 0xdf99b23a, 0x203d62ce, 0x7111a573, 0x3c5df1e5,
+    0x33f70e79, 0x28aceec4, 0xd8402f8b, 0xad803a82, 0xc59bf2ae, 0x561a798f, 0x180fb2fb, 0xb5f58e1e,
+    0x9a986599, 0xe8c834e6, 0x7c57d36c, 0x65e09fb7, 0xc48aca62, 0x2361313f, 0x72ce65ad, 0x054174a0,
+    0xa864ac3d, 0x0a03bfe9, 0x7fa88cc9, 0x5d9ea335, 0x319c1c0f, 0x497e651e, 0x17102a0c, 0xf4bd70d3,
+    0xf5b0052c, 0x0f9761e7, 0x4fbacf26, 0xaf3a562d, 0x05762dbe, 0x4b418e43, 0x68fde6da, 0x1a53cec2,
+    0xa707543e, 0xc2b391bf, 0xc3ebea4b, 0xe625e9b9, 0x76475791, 0xf36e67ea, 0x60035c65, 0x096abe67,
+    0x20313878, 0xb17093e9, 0x30d0f76c, 0x3cea7d6c, 0xf5435f8b, 0x4e57749c, 0xdef61585, 0x05098978,
+    0x79a38d1b, 0x352b062b, 0x585da618, 0x98b63e71, 0x13256f3f, 0xa72ae925, 0xb20c5fd8, 0xb4801bdb,
+    0x1af0c476, 0xa14dd1ce, 0x3de86328, 0x39c54d2c, 0x60028df3, 0x4da05d52, 0xe359ccdc, 0x9643a0f0,
+    0x84576da9, 0x0aead8bc, 0xd59270ef, 0xeab9a441, 0x0595386a, 0xfd527fae, 0x8d168ece, 0x15ec60b2,
+    0xc86b358f, 0xb6466759, 0xa023414e, 0x6f00b6d4, 0xfc21dc7b, 0xc294b28e, 0x7c669ae4, 0xbb9e4359,
+    0x0a493ade, 0xbe523c9f, 0xf50992b9, 0x1d71fd8d, 0xd979e595, 0x89162eda, 0x99030974, 0x91b7d1dd,
+    0x763cbaf7, 0x71eefd70, 0xbc4f819a, 0xe8d4e589, 0x4adc46dd, 0xa642f364, 0x0dbe5d14, 0x6b938e2d,
+    0x8a9cb1d4, 0xc19ef10c, 0x897cbe82, 0x23b73226, 0xb832beee, 0x3445ed4a, 0x6dea9736, 0x0c7a0e5b,
+    0xf9a2e7bf, 0xbee32114, 0xc8008b3c, 0x7361fde3, 0x90a38215, 0xa2f30c8c, 0x5a8b1ab7, 0x541fa38c,
+    0x503e80cc, 0x7ac93d57, 0xda753ab0, 0x46d5fbe1, 0xddb560ac, 0x78c07e21, 0xff29a744, 0x0f2e31de,
+    0xf903cd14, 0x9680edef, 0x6c6c0c4d, 0xc21d2ef5, 0x1bfca90a, 0x1e4f2d24, 0x1f871e90, 0x4edd457a,
+    0xb54d119c, 0x8fe7fdbd, 0x1a06be89, 0x1401306f, 0x40270a0a, 0x71a0f439, 0xe407878d, 0x07c41f3b,
+    0xb9c9a738, 0x5252c072, 0x52116fa2, 0x3467fcd4, 0xf3f334e4, 0xde4f0995, 0x3dad4c50, 0x19857178,
+    0x7cb54aae, 0x367776a1, 0xfaad5c39, 0x7cae6b2c, 0xb9418f86, 0xb3ced34a, 0xdd756f9d, 0xaebec1ca,
+    0x2f76af6d, 0x7f1df464, 0xde46d54e, 0xebb525c8, 0xd11b4692, 0xe106f310, 0xa29130c6, 0x04733537,
+    0x71efd3b2, 0x009b448f, 0x9b382110, 0x5ef2f7c1, 0x99332d78, 0xd70f39f4, 0x0a4599f8, 0x994ff703,
+    0x75806570, 0x87e9fa4d, 0x53fb30c6, 0x310b0466, 0xa80a3dc4, 0x5a91225a, 0xd7d0bef7, 0x1d57afb4,
+    0xcc78c736, 0x80efaf9a, 0x61f0ccc1, 0xb3c6cb6a, 0x68e6fce7, 0x3c9bd049, 0xe1aab1ae, 0xd52b6f02,
+    0xf0bcc343, 0x7f402cca, 0x46f1dd49, 0xd1b5c5a9, 0xba906fc6, 0x62f966fe, 0x6fdf3d87, 0x0ee96c3d,
+    0xa0ef4296, 0x72cb1a90, 0x848ad08f, 0x3a7a51b5, 0x6c12fb0d, 0xa114d0ac, 0x9b0f20d1, 0x21eff836,
+    0xe61c19c9, 0x085e08a8, 0xc95c333e, 0x4a3c804d, 0xa3a566a8, 0x06c927fc, 0x6b36532a, 0xf071c3e3,
+    0x2be1e1cc, 0x639722a3, 0x84754811, 0x54994494, 0xe448109b, 0x3da62988, 0x8e68290a, 0x659d919d,
+    0xe91bbd2b, 0xe10ad2db, 0x1006d124, 0xd6412a3e, 0xc7b49dc4, 0x25a7daba, 0x2c605afa, 0xddc23077,
+    0x5196b677, 0x866ec9c4, 0x46252e60, 0x63a6a334, 0xdbbd433a, 0xa43e0e58, 0x24a2b10d, 0x1efe28ba,
+    0x47bfce4f, 0xce80c563, 0x27b19c54, 0x4402f9b8, 0xad16ad03, 0x25fc4fe2, 0x43bc0387, 0x26bac259,
+    0x18d0ba13, 0xfc18058b, 0xf5086ee8, 0xf3d6a458, 0x88b3d143, 0x1f97b11e, 0xa53b5c02, 0x7eb288fe,
+    0xc1880272, 0xe9baed3a, 0xc2895690, 0x0ba6ba63, 0xfedda096, 0x70beabaa, 0xba509212, 0xa29a53bd,
+    0xf7e4612c, 0x42928470, 0xed3b6fb7, 0x2486c41f, 0x9e118ae3, 0x034cfa40, 0x32ca0b66, 0xc604d2c0,
+    0xbf1951bd, 0xfdfe65a4, 0xf0656412, 0x029fd350, 0x028af7e7, 0x9ba35d6e, 0xc12bffe0, 0x7b34f08a,
+    0xcec26efc, 0x0f6c4b49, 0xd53384be, 0xb0ec48ab, 0xdf34771e, 0x5fa9d877, 0xfc9e5806, 0x4a424302,
+    0xde1f6b3b, 0x06f00ec0, 0x4487a38e, 0xcf9a7c00, 0x139fb428, 0x792cfef7, 0xac2c2bc3, 0x1dc46e70,
+    0xa493dd91, 0xc0e2f66b, 0x0a5a411e, 0x3dcc0711, 0xba4e5e56, 0xe0501bc7, 0x622541e8, 0x623f7260,
+    0x8df278e7, 0x7e5f4fbd, 0x455fefc1, 0x9177c71c, 0x05a0e0b0, 0x61052f56, 0x402b7548, 0xbf0efe2a,
+    0x76fd2e06, 0xe743e751, 0x208221fc, 0xb46ab68d, 0x60cd133b, 0x3a0d79a6, 0xc564cd6f, 0xe83b01d7,
+    0x6ec33b3f, 0x82e53017, 0xf536d2e8, 0x301d8b23, 0x216e3f5f, 0x50f0a64c, 0x6ebaceea, 0xa2452b71,
+    0x8bb441c1, 0x7a076252, 0xc55509b6, 0x9f922f8c, 0xb856416b, 0xc4e11d97, 0xd641acdf, 0xf52864e3,
+    0x693cd3c5, 0x07dca775, 0x0014bb13, 0x7a236d5e, 0x7df4f3e0, 0xa6331dd6, 0x4bf0ed0d, 0xd68c69d8,
+    0xb4247472, 0x54ddbbf5, 0x703127de, 0xe9a3e996, 0x5865284c, 0xe02c8b67, 0xfe9805d3, 0x77b0ee30,
+    0xe5447f05, 0x745e8f4f, 0xfdbfba0e, 0xc6445be8, 0x7e846818, 0x655b6f10, 0xb53701dc, 0x513e0683,
+    0x9e7e99d9, 0x25543c2a, 0xe84604bf, 0xfb05a129, 0x4180a8cc, 0x716ad37b, 0xd4d07cf7, 0xe2bb0e66,
+    0x354af8d8, 0x3c033c5a, 0x8d42e009, 0xd9be741f, 0x6ff2c99a, 0xc1bc9839, 0x654a43ff, 0x19547943,
+    0x6f226aa1, 0x9c35995b, 0x3600967c, 0x1be733ad, 0xf1817d8f, 0xf19d3779, 0xb5d2513e, 0x88180d12,
+    0xaa1570f4, 0x42b1ed2f, 0x56933640, 0xca90b26f, 0x11112f2e, 0x70527d66, 0x53d29a1e, 0xc8a9de1f,
+    0x07267ff5, 0xdd78c7cb, 0x8e2b5e98, 0xefeddf5f, 0xc8a8f234, 0xbdb00176, 0x54dd2e39, 0xee811e2c,
+    0x7ed05b56, 0x777bdb3e, 0xdcfb4268, 0xab6a2d6e, 0x5e8b28c9, 0x05a90514, 0xd0c5a834, 0xacf5638b,
+    0x0f505e50, 0xc34b6194, 0xb5849392, 0x3e072435, 0xdd3f0736, 0xc96837a7, 0x15194ed8, 0x0823e4d8,
+    0x490afa83, 0xd80d7ef1, 0x50812ef9, 0x3997e5e4, 0xb8beca7c, 0x1ce8d2d6, 0xae03915a, 0x053cfc81,
+    0x0e157340, 0x292c6a3d, 0xb4df65a8, 0x8291e1c7, 0xf846996a, 0xf5f1405e, 0x206ac772, 0xfca38932,
+    0xccaae1dd, 0x194df842, 0x30ab0e35, 0x2713c7ed, 0x913e215f, 0xa4cfca18, 0x481822b9, 0xfdfde635,
+    0x9aee6a77, 0xda8b15e5, 0x97b7725f, 0xada6e92c, 0xac1124b1, 0xb801e498, 0x2f6fd2ae, 0x9cc1e6f1,
+    0x14ecda71, 0x315c3be3, 0x29a13eea, 0x220d9482, 0x52df7abd, 0x07eeec84, 0xbf4ef9f3, 0xa53c0fe3,
+    0x48e17d19, 0xb7025b2d, 0x0fda97c0, 0x8fc9637f, 0xdd84e767, 0xeef7ed83, 0x9c710265, 0x7542787e,
+    0x4618afc1, 0x33a1ec21, 0xb525da60, 0x65189369, 0x8d6456a5, 0xf9cc87ee, 0xe15e5080, 0x80b7eedc,
+    0xe7bc275b, 0xb426b6fb, 0x26b0768f, 0x77efb0cb, 0xa140cea2, 0xcfce67ce, 0x0e1abd80, 0xfd5b3c99,
+    0xeb8c5076, 0x00df3752, 0x04cb1c12, 0xd9336f05, 0x6a3e1fbf, 0x73167ada, 0xca52bd98, 0x5e698a2f,
+    0x1046200a, 0x6454877a, 0x63be83a8, 0x6add29d7, 0x0335786d, 0xe6bfddc4, 0x0a4f4872, 0x2c5c1f6e,
+    0xde9e7742, 0xf0cb71bc, 0xfac6b40f, 0xaa70d2c0, 0x6248e004, 0x6b6c4af0, 0x8f684b3c, 0x571eebae,
+    0x33181c1f, 0x173f7160, 0xc5791478, 0x99662735, 0x8c759865, 0x499ef43f, 0xa4285273, 0x0859f7cc,
+    0xedfde318, 0xa2ace846, 0xcefd491c, 0x661e35f0, 0x5f507a98, 0xa130e7cf, 0x6ecd4ae4, 0xf37b6a6e,
+    0xbff755dc, 0x06a3bb5d, 0x2f28dac9, 0x4898fc84, 0xb3396e46, 0xdf5cadb6, 0x7ecc686e, 0xcdcee404,
+    0xe90aa84a, 0xfa2efb68, 0x0874330c, 0x96fffa75, 0xd6141e63, 0x3dacbaf9, 0xfdd939b7, 0x7ed1cf73,
+    0xcb4df4e4, 0x4a029922, 0xf93f7e43, 0x505b322a, 0x812d4488, 0xf733ae89, 0x30fa6305, 0xf1c56b1a,
+    0x2378e57e, 0x850866ae, 0xf7cc3a40, 0x4750ec84, 0xb6a3f338, 0x97148b25, 0x89b37fd7, 0x6da3bbc7,
+    0x1e2dc49b, 0xa393f8f8, 0x3de7d34c, 0x492cd1a5, 0x84cebf6e, 0xc47a3b52, 0x3bdb5f95, 0xaf7eb2f4,
+    0x76d5643c, 0x8a26df91, 0x9976fb38, 0x1d0c3364, 0xc66791a5, 0x1cdf1041, 0x6472539d, 0x88ed9b12,
+    0x153a3634, 0x0757a2a0, 0xb8eecdce, 0x7439b1aa, 0xe0965bb1, 0xe88a112f, 0x61cf2303, 0x19d68a4b,
+    0x4551d3eb, 0x261c9238, 0xf732486f, 0x8e7023d6, 0x5d146846, 0xfda4c1e9, 0x75af5a7c, 0xbcafa8b5,
+    0x3afd9d01, 0x754130de, 0x7764fb83, 0x8ea40c3e, 0xab2a6b5a, 0x346a7ba2, 0xd0d39854, 0x81b1bf6a,
+    0x9cda69d9, 0x331535f8, 0x373bad20, 0x7342a3e7, 0xc4dc5583, 0x7c46ed91, 0x5587f36c, 0x763a9778,
+    0x742c9dca, 0xd4a48555, 0x44fb6b9f, 0x9134e6a8, 0x83aa8f20, 0xa822b0c8, 0x22eca88e, 0xdfb6ba11,
+    0x76a82198, 0x51fe1642, 0xfcbcd653, 0x7e33ba7a, 0xdd0e305d, 0x56f45bf9, 0xfb25835e, 0xe176617b,
+    0x0696728e, 0x73a419b3, 0x7f8bbd65, 0x7b1a1ae4, 0xac5a315c, 0x2584df64, 0xffd69c74, 0x29cd3537,
+    0x117c2b6f, 0x317e3694, 0x0d381bf3, 0x23902be8, 0x6d6e852e, 0x292de190, 0xca7f9bc7, 0x4c28fbf9,
+    0xe963cc86, 0x85ae2543, 0x8799c289, 0x4483df33, 0x988717ee, 0x74444651, 0x48d9d105, 0x7a6792f4,
+    0xf3b01abe, 0x2dec01a7, 0xfbc7f12a, 0x13c9cae9, 0xeda5b674, 0x3a430d9c, 0x2a2281c9, 0xd0891730,
+    0x1f531638, 0x63feddf3, 0xf852d3c5, 0x6c411987, 0x4e9544e6, 0x4c312161, 0x87b16521, 0x44199a4e,
+    0x40af49aa, 0xd1c90b9d, 0xd995a226, 0xdc470e7f, 0xaf7385db, 0x72b7a376, 0x2285b757, 0x8c1b33e1,
+    0xd5b91d63, 0x4252ee75, 0x5c6e115c, 0x74882f0a, 0x2a1cc212, 0x0a232ce5, 0xde6ebe8c, 0x32c4f577,
+    0x6d225258, 0xf68d0e20, 0x2b79b290, 0x03541bd8, 0xaac0f7b9, 0x3ca8bfbe, 0x741e855d, 0xa0931d87,
+    0x8f15e1d6, 0xdbf64d43, 0xe2cd4ac2, 0x2b47e680, 0x8b320d59, 0x12334d99, 0x50d1a925, 0x8c36700e,
+    0x8a2c5f66, 0xb514551d, 0x52729b7a, 0xdba7361c, 0x00c2ccf2, 0xac689df3, 0xe95e919a, 0xf76ffef0,
+    0xe459d9e2, 0x78a8cd8c, 0xadb23ce8, 0x22f7ba44, 0x754f0908, 0x52caccf8, 0x34b13fd1, 0x4f3f4ac7,
+    0xa9c44a94, 0xa515c80b, 0x1b94b628, 0xb131bd3a, 0x38648340, 0x8ffd425f, 0x07b768ff, 0x0c0ff9f8,
+    0x388310df, 0xee41bcdf, 0xf013572f, 0x5b72f9b8, 0x1e96636f, 0x7d689312, 0x275582d5, 0x0d3c6118,
+    0x54434445, 0x24a27c60, 0xf99bc075, 0x9712c3bd, 0x654c2185, 0xffa5e192, 0x6442ff8a, 0xb1901fd7,
+    0x83bf523b, 0x38bc1e39, 0x29260d07, 0xc4b2a833, 0x1e959561, 0x84335920, 0x6120711a, 0xc3bdfeed,
+    0x3501d50d, 0xd7977c5e, 0x06e9c576, 0x261d77dd, 0xa726fff1, 0xa1953aa7, 0x10865ef7, 0xfa5fd721,
+    0x444a9f67, 0x4369cbc5, 0x96494dbb, 0x575cbaf5, 0x58295491, 0xadf3ca6b, 0xd1780637, 0xe048e85d,
+    0x1f1dd73b, 0x457ae6d2, 0x567ea0ff, 0x3c8ffcc4, 0xe8330658, 0x3d2e5030, 0x2d9b236d, 0x8b07240a,
+    0x78ceaa98, 0x3aba1dcf, 0x2681fe46, 0x205537db, 0x533e8c73, 0xa51f93d9, 0x80573b00, 0x86b6b3cd,
+    0x3721fec5, 0xbaf8167f, 0x45d1be32, 0xdd8b902a, 0x1c2e08b8, 0x00a97980, 0xc7112f5f, 0x8329b845,
+    0x2502b6c9, 0x26799a11, 0x2674010e, 0xa13edafa, 0x126b2200, 0x8cf63e00, 0x19169a9a, 0x67042108,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000100869135862769866783434342656367651341004\
+                          13253239154346994763111486904773503285916522052161250538404046496765518544896 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d,
+    0x27540390, 0x98a562dc, 0x92a6fefa, 0x30f4c5f3, 0x35e042c4, 0x55c18b83, 0xb682a938, 0xa5e853d6,
+    0x00000000,
+    0xbf29f071, 0xfadc1913, 0xed96d63a, 0x65d38ea8, 0xd90c1f51, 0xd31048e2, 0x370ff630, 0x052d164d,
+    0x44e21945, 0x98252d07, 0x0f3fa506, 0xaaaa8e0e, 0x3a13f843, 0x16d2c636, 0xfc0cb9b5, 0x92871f69,
+    0x788b30b9, 0xdbeb3927, 0x7099eec5, 0xbe1363ff, 0xb95ea4b0, 0xd9dbf5e8, 0x357c5b6b, 0x49bd3166,
+    0xdbe845b4, 0xf5550379, 0xf85ed67e, 0x77daf6cd, 0x8dc771ed, 0xb9939162, 0xdb8b3fc5, 0xe3cd70b2,
+    0xf77a64b7, 0x98c3e3d7, 0xfaa8561b, 0xf13d2d6d, 0x5e37f08f, 0x058d020a, 0x9aaa9a82, 0xbf8ab7c0,
+    0x9ead7396, 0x3aff0330, 0x01a3fa3a, 0x473b71bd, 0xa0d40045, 0x8a42b427, 0xb387b7af, 0x3c5b72d4,
+    0x4f925cf9, 0xa8fb8a73, 0xac3db0da, 0x68f1b093, 0x51aa1cda, 0xcfb6d345, 0xb0234147, 0x2a242127,
+    0xc78b121a, 0x1ce5f189, 0x26cbfd7d, 0xdd04b77c, 0x55d74f52, 0x8e0e53a6, 0xa9cc8d87, 0x7594eda9,
+    0x009313f7, 0x44fa284d, 0xff517233, 0x7fb48d30, 0x3f62bf22, 0x5e6640b1, 0x28b39706, 0x4eeca609,
+    0x37849d76, 0x2aaec7fe, 0x4129c4fb, 0x9ef579d6, 0xe281fd32, 0xa87f0526, 0xe33b9e78, 0x9006d6b6,
+    0x5deb3588, 0x3c912685, 0x9c1c1997, 0xebaebd0e, 0x9441658a, 0x7a592fbc, 0x3faff9ab, 0x9cf2a33e,
+    0xe59ff87f, 0xa5040e07, 0x76180c51, 0x898fef74, 0x9c008a68, 0x9d1cf106, 0x6334d60d, 0xb09f2786,
+    0x68749f32, 0xb128818e, 0x5b1d7c3d, 0x91dea8f7, 0x28bc989a, 0xab79f2ce, 0x120887f4, 0xc248cf33,
+    0x8c1ba6fc, 0xbd96c781, 0x62df97ab, 0x85c5b4fc, 0x550e4f8e, 0x3f6b9d59, 0xbd721bac, 0x21870eb2,
+    0x25d57966, 0xdba36872, 0x945bff0b, 0x7ab2a396, 0xb38a21eb, 0xa46b32d9, 0x98f94f29, 0xc8239cd2,
+    0xc9bceca6, 0xc2458d3b, 0xf1a797b3, 0x03653678, 0x76a2f67c, 0x2189c5d9, 0x8349be0d, 0x76bba943,
+    0x37d04c14, 0x855a1b4d, 0x36e3d960, 0xbdf59a3d, 0xa40e8725, 0xf3c2e0cb, 0xac71d954, 0xa0b15f18,
+    0xb0e68925, 0x54cc9075, 0xc044e15f, 0x8b2fff6e, 0xc4c0fed2, 0x587c30ce, 0xd7075502, 0xe2747949,
+    0x76e68f32, 0x031c8f69, 0xf02aca80, 0xe03c288c, 0x33264435, 0x476faae4, 0xc9abb324, 0xd69bf564,
+    0x61e9e4f2, 0x628e2d7a, 0x16fbd470, 0xd4859937, 0x215aa0cf, 0x3e0ed6ee, 0xd923afba, 0x7f71cdf1,
+    0xdd1a15c1, 0xfa7bd898, 0x4ef0a9fc, 0xcb453127, 0xda41f6e0, 0x6995027e, 0x60b8fdb2, 0x7d3ed2c1,
+    0x6d368f38, 0xa9c74ce7, 0xf6d0b163, 0x57dcf49f, 0x316ed5d9, 0xd79dc626, 0xce4e4dd9, 0xd251b5f2,
+    0xd64e4ef6, 0x23abc273, 0x5821cd27, 0x72235bc2, 0x96eb140d, 0xa53f7237, 0x687a09e3, 0xa8c77790,
+    0x9690f145, 0x210d8dc0, 0xfa0bfff3, 0xb8f3bfbb, 0x4f16a5dd, 0x63c09dea, 0x0d70b08f, 0xdd33fdf1,
+    0x6a1d7b5b, 0x10876219, 0x9e012ae0, 0xc0850ec8, 0x2769d1b5, 0xe973a068, 0xb5ce8c11, 0xe5ca40fc,
+    0x9b5af13c, 0x6eaf8cf1, 0xef87c215, 0x10c14f35, 0x6cd670b2, 0x52b83c84, 0x74f9783d, 0x09e394d8,
+    0x7dc30c23, 0x8aa5212a, 0x5118afbc, 0x73f5ffe3, 0xed03c6d8, 0x8d4e4d60, 0x9435a839, 0xc29e4f7c,
+    0xcec96f7b, 0x56cb7377, 0x93d4ddee, 0x0bd853ca, 0xa82e9c14, 0x8bbe3e86, 0x7dbcb25a, 0x075e7552,
+    0x69d50b35, 0x7b96a186, 0xb313b9b7, 0x226f2d11, 0xe6e980dc, 0xaf0ba7e8, 0x9bc5f474, 0xbfb2c2a7,
+    0x29307b2b, 0xd80b0fb5, 0xac3511fa, 0xeeed4d41, 0x5fc50d41, 0x74afb411, 0xb53706bc, 0xab03297a,
+    0xc83caf7c, 0x8551ee4f, 0x35f681c5, 0x0d321632, 0xe02ade33, 0x68f15aa0, 0xdf11f7cb, 0x1141fb0b,
+    0x42d6c075, 0x9fdbb492, 0x5f8aac4a, 0x87075b1b, 0x77bf478c, 0xc6db4184, 0x2dc19e29, 0x38c0fdcc,
+    0x12c63263, 0x39f8f76b, 0xc07861a6, 0x830d8a06, 0x6d803b6f, 0x2da6889f, 0x6923f946, 0xd3f56099,
+    0x1f49cc87, 0x1739ee37, 0x945cb632, 0xf7b217dc, 0x51983b16, 0x3eeecbe2, 0x6a7081d8, 0x432710b1,
+    0x0a8326ac, 0x3e8a6f20, 0xb02fba7a, 0x28be1240, 0x848e4e60, 0x888bc352, 0x2e6d680a, 0x4ec56eaf,
+    0x41e81ca0, 0xd249bf45, 0x92ffaeb4, 0x0fbc95be, 0x7ff41927, 0x56d70ff1, 0x1e35aaaa, 0xeaadcde8,
+    0x7eec9e25, 0x360f910d, 0x8d84d599, 0x65e32baa, 0x6ce17fec, 0x9cf2e3f6, 0x2c00a054, 0xf3a6becc,
+    0x2536aa7c, 0xfc2ce6b6, 0x95357f47, 0x57faf14b, 0xa17dd8a6, 0x6f10c1a8, 0x1b683579, 0xf1b55215,
+    0x621c1ba1, 0x62a47e4e, 0x3864cac8, 0x6cd3b3b8, 0xdcd239d6, 0x57030187, 0x2349cd43, 0xe82a9487,
+    0x805fcea5, 0x749388b1, 0x813d6e2a, 0x311d58bf, 0x470b932f, 0xfb6451cb, 0x676931cf, 0x3882bc94,
+    0xd33252fd, 0xf89bca47, 0xcd0bcf26, 0x80dd802b, 0xe88310d2, 0xeb49d5a1, 0xadccffb1, 0x7abd98f2,
+    0xc32ea29c, 0xb6ca607f, 0x14ba25b2, 0x757c9609, 0xc614e798, 0x945d4e2b, 0xbfba4fc3, 0x5de4fad1,
+    0x3fdc8bc2, 0x3adc95cb, 0xa85914ee, 0x036cbe62, 0x448b22d2, 0xac47525b, 0xb3f6ca6b, 0xafbe7d22,
+    0xb7cfb5c1, 0xff78b2f4, 0x60525b8c, 0xc33d7d10, 0x65509a87, 0x2128f364, 0x6c22c2b6, 0xe0251239,
+    0xf0c21dfa, 0x01fcdb08, 0x89715153, 0x872db697, 0x660184eb, 0x3040380e, 0xd6d90ea5, 0x61c10acb,
+    0x67e6a15b, 0xeaede24c, 0xfbb2dd28, 0x04c9206b, 0xd5e4a4e6, 0x33ace1ec, 0x06b9bed7, 0xd645c2ec,
+    0x9522b4c1, 0x471490a7, 0x37b04726, 0x28ae6471, 0x92ad0681, 0x2dd5c188, 0x8f32212b, 0xb2d308f7,
+    0x24b4b072, 0xb2c1ce6b, 0x25d518a4, 0xca13e5fd, 0x88474822, 0xe9d012e1, 0x8adcfa29, 0x5121cab2,
+    0xb4ea15cb, 0x76e8aeac, 0xf5251137, 0x2475ca1a, 0xbedbb2f3, 0x5d64af26, 0x8f383ab4, 0xb1313714,
+    0x1d114e18, 0x99c17f8c, 0xa288baf2, 0xebb42910, 0x25d4d8dd, 0x9b548017, 0x3f4d47c2, 0xc8a3da10,
+    0x4f74390b, 0x292f2ee0, 0x57527a09, 0x432d1836, 0x7ed29f2b, 0x0aeed4f6, 0xf3b4148b, 0x2709820b,
+    0xf7cdbfb5, 0xcfc1c5e5, 0x8da2ea42, 0x01fcd7ec, 0x095dfa5f, 0x448d3649, 0xf1b427fe, 0x85b871f3,
+    0x6e24c211, 0xe9d1be73, 0x042fb2d0, 0xcf4df8fc, 0x2e007cda, 0xfd9d1377, 0xceb5136c, 0x8c3cbe14,
+    0x2bbd4ef6, 0x9d28011e, 0x3cda3e86, 0xc66bbdef, 0x6b8ade54, 0x76201273, 0xd2108c1b, 0xe52b795c,
+    0xfcf905ac, 0x790574a2, 0x7196150d, 0x2d623ba5, 0xbc853f34, 0xd520048c, 0xc13fda34, 0xff1c98f1,
+    0xc5494b8d, 0x3cb3d228, 0x2751d10a, 0x4f4a48e0, 0x001def1f, 0x0b68baab, 0x367ea9ac, 0x6c351c31,
+    0x58a46751, 0x478bc202, 0xe1bc4ba1, 0x7d838d54, 0xc2ffc58e, 0x9dfd569b, 0xe49c9697, 0x7017d122,
+    0x009e807b, 0x4b44af08, 0x54da1a7d, 0xbc133b42, 0x3b38f251, 0x5a6e5550, 0x0251646a, 0x191cdba1,
+    0xd8055ccf, 0xc281531e, 0x8b77ffd2, 0x600ceb2c, 0x30cb5ac7, 0x71e2509c, 0x21e15172, 0xc4878b66,
+    0x61f520d8, 0xd223c5e7, 0x5bbdbe23, 0x357177b3, 0xb914e211, 0x15f164a1, 0xaee30ebc, 0x0379455e,
+    0xcd0fe8ec, 0x63168b33, 0x38ca0790, 0xab65cf7c, 0xf0e11cdb, 0xb040f757, 0x2d4dfbb6, 0xba7ccb3e,
+    0x9250a00d, 0xe746cf37, 0x996a651a, 0xaf7db457, 0xc707838d, 0x0ec9a41e, 0x3c9e8d80, 0x873c1951,
+    0xcc4bfd5b, 0xce754ddd, 0xe510e118, 0xaec01232, 0x641fca41, 0x70bfee32, 0xba4f5ec8, 0x1b1c3df7,
+    0x8e3d2659, 0xeafb34d7, 0xfc20104d, 0x2b7d94e8, 0x3aafce28, 0x6df6861f, 0xe12a4f11, 0x2bc6cd9d,
+    0x5884d1f2, 0x43090bee, 0xf919c0ab, 0x084b86c8, 0x46f31f08, 0x577d8096, 0xfab8ee07, 0x60a4bb17,
+    0x360c518b, 0xb6b1bb12, 0xb93d6bf7, 0x90589f0e, 0xb269402d, 0x5a4bbc0f, 0x23011b1a, 0x094e5c35,
+    0x471d649b, 0x72a09f87, 0xa38cd945, 0x982e4692, 0xff1d703e, 0xce40fc1b, 0x4ce777b8, 0xec7ae64a,
+    0x13d0cc62, 0x438d6036, 0x837c59a3, 0xdc9dc3a6, 0x73a65802, 0x6f75afd3, 0xe63373f5, 0x4c89b60e,
+    0x4a0c72ee, 0xd70d95ce, 0x416e4f12, 0x2430aeca, 0x75c10054, 0xd1a6fcb0, 0xea999bde, 0x0062a926,
+    0x95eddf7e, 0xeb39fabd, 0x9855a28d, 0xa17f9175, 0xf36a2753, 0x8f275ea3, 0x7c8c756f, 0x67c7ac69,
+    0x99baed81, 0x6ce4ee61, 0x9a1bc473, 0x227621ae, 0x21c6f263, 0x811eb9b6, 0x15a32eb6, 0x15449baf,
+    0x72586135, 0x42718fc7, 0x6415c269, 0xdd5eb59d, 0x845f7cef, 0xde27e62a, 0x9784743c, 0x7c3a0b66,
+    0xc4d222af, 0x5cffef01, 0x957abe04, 0xeb1a30ad, 0x1160f0c6, 0xb0c345e1, 0xa746ee04, 0xfb833d5f,
+    0xfabd36c3, 0x935108f8, 0xb9f4b512, 0x9ea046ab, 0x6ea21214, 0x9b8f5a17, 0x0b990a77, 0x7bacd669,
+    0x68fe03a6, 0x32694b18, 0xd5419d17, 0x37f882ac, 0x5b4d40cc, 0x584e705f, 0xbc8d3ac2, 0x710101f2,
+    0xc0ce9d62, 0x11938997, 0x2d245b51, 0x86fab358, 0x04ceafa8, 0x44eb2416, 0x577b9cfc, 0x9ddee14b,
+    0xb9d0d2ad, 0x701c7d9e, 0x817b1504, 0x50caf97a, 0xaad1c2bd, 0xe7355692, 0xef32de0d, 0x53f1f29f,
+    0x5caaf6df, 0xa755f664, 0xcf776d9f, 0xc3307ada, 0xdc812189, 0xccbfdd89, 0x78d2ed27, 0x7a2dd0cb,
+    0x8c562c0e, 0x103624b0, 0x28056fbe, 0xe6648e68, 0x5d5d31a3, 0xd7f8b35f, 0xbb748e3a, 0xd780dbf1,
+    0xdc405c45, 0x342cbf5a, 0x1c6be481, 0x28c386eb, 0x129d5054, 0x6e98ccde, 0xb260f1fe, 0xef666ea0,
+    0x5e32950b, 0xead5e5f7, 0x36700c55, 0x1a4cf125, 0x4867a18d, 0x289f46fd, 0xeebe040e, 0x0514eb91,
+    0x1c80a2ed, 0x1af82abe, 0xa753d39f, 0xff6dee91, 0x4a4957d7, 0xdd4f1acf, 0x5b157ef1, 0x53c97335,
+    0xa8f9f1ac, 0xce4f41d1, 0xac6538eb, 0x1431d0ba, 0x55407b0b, 0x52836a31, 0x5de5a36e, 0xfe7995cd,
+    0x4668fb27, 0x0df5edb7, 0x6ceac71c, 0x7a5661b8, 0xd6c78bca, 0xd983e54f, 0x81533593, 0xb7811707,
+    0x3cc6001e, 0xa1496874, 0xb7c9fba4, 0x4e92b45f, 0xd9b9db00, 0x0a579e06, 0x274e8d34, 0x92200b95,
+    0x8bc2ab0d, 0xfa0766ab, 0x4086f6bb, 0xb16e631b, 0x86af6ae9, 0x8d78c23f, 0xb82b4ad6, 0x86208a4e,
+    0x7686cbf3, 0x8e7b36dd, 0xbb17f6b8, 0xb1a2a8a7, 0xb82a1c8b, 0x2236aaff, 0x5385103c, 0x79de589d,
+    0x45823e83, 0x888a08a5, 0xf8094925, 0xfa5508c7, 0x87273c87, 0x9ab3ee33, 0xd0f1ea00, 0x5cfeab4a,
+    0xcfe47f91, 0xf662087e, 0x9e43f335, 0x36d6ecb9, 0xa135708f, 0xf4347c05, 0x9306f2d8, 0x24d09a19,
+    0xac550006, 0x32ddb135, 0x4e429ecf, 0xbce40aaa, 0x03731d47, 0x71c757d1, 0xe6f5f228, 0x642bc963,
+    0xf83ae278, 0xa4a2c061, 0xca4446ed, 0x0204007d, 0x70f5ba23, 0x4628dd13, 0x0a7e9258, 0xcf827b51,
+    0x45971144, 0x616f53da, 0xe15e9a35, 0x5b91b90f, 0x837765a4, 0xeeb4be8a, 0x3d894f1f, 0xfbac72ee,
+    0x97a0a8f7, 0xa3919d00, 0x179abde0, 0x5e1b603e, 0xf9a75798, 0xfd7894bf, 0x0f3bfa02, 0x4d48a740,
+    0x1e411502, 0x9bd41cb7, 0x569e7b7c, 0x13e26450, 0xbd536f18, 0xc4087cca, 0x848cdadb, 0x9361728a,
+    0xc2864f51, 0x6acfb729, 0x364b6453, 0x2799bf70, 0x9ebc9aff, 0xfbc44c7a, 0x1836c1a0, 0xe579d90e,
+    0xa8cea143, 0xc305da8f, 0xc3292b65, 0x7261f8bc, 0xa83f959d, 0xe774ce56, 0x21d2e228, 0x5816ca41,
+    0x8b4b14b6, 0x1eeae720, 0x9fdffbaf, 0xfff71925, 0x85a409b8, 0x5b9aeaa9, 0x8038f5c5, 0x85e7dc6b,
+    0xcfbd4705, 0x2df471fc, 0xa70fd363, 0x9046f927, 0xd199c48c, 0x5e6a69f8, 0x1719dbae, 0x357e1978,
+    0x2812e13e, 0x5106d160, 0x3803107e, 0x9c76d3d9, 0x9fb19a2d, 0x610457d3, 0xa92c5c56, 0x8e00b7db,
+    0x856420ea, 0x58f10a2a, 0x47f510da, 0x581bb6ba, 0x8dce6ff1, 0x478331c8, 0x1d1d8304, 0x258565f0,
+    0x0a6f2b6d, 0x1f4a7c80, 0xa3f57681, 0x2731d359, 0x5091b0ef, 0x1422794b, 0x9de8180f, 0xa0144a06,
+    0x44515d3b, 0x46d70f73, 0x60f8a917, 0x27a75955, 0x38523bde, 0xf1409352, 0xc4fb3c71, 0x3d402e27,
+    0xb1cfd912, 0x14dea63d, 0xd214a194, 0x31fec49a, 0xc24367b9, 0xb98eb2ef, 0x77f671f1, 0xc8174444,
+    0xdc10ee4f, 0x1ed9fbce, 0xc1b83b0c, 0x24959649, 0x6aceb749, 0x511126cf, 0x79361468, 0xf60b2aee,
+    0xb5fbfc5f, 0xb052f1fe, 0x802e7ff7, 0x1a98f2cd, 0x13f4f48b, 0x88510486, 0x35e597fe, 0x761d3470,
+    0x1d76123d, 0x20861992, 0x2ba31777, 0x350791c0, 0x3f064540, 0xe2bebd4a, 0x6da5b99b, 0xa982b655,
+    0x53d33dde, 0x4000f05c, 0x6c7dada3, 0x6794e739, 0x34688c3f, 0xe1072247, 0x8cee6115, 0x02651eaf,
+    0xc85045df, 0xa26a214e, 0xa618eb8a, 0x3bbb9c66, 0x5a7e48ef, 0x837e0381, 0xd5f6a14a, 0x3e94d653,
+    0xdb8c2244, 0xb8cef147, 0x9901f5ab, 0x7a751b3a, 0xa7657ea1, 0xeeeae4f9, 0x25b8e126, 0x7c1b814e,
+    0x24fe5c61, 0xe590fe52, 0xbe72f633, 0xd1245604, 0x0d33ae9d, 0x9bac0a3a, 0x8a51b5e2, 0x03b1be77,
+    0xc46c7baa, 0x8a0a41a4, 0x2f051647, 0x54d8aeb8, 0x57a560fe, 0x47bf8da6, 0x1ca3cad0, 0x481510b3,
+    0xc8980e26, 0x3795c55b, 0x301b4f6d, 0x63bc236b, 0x7c6b3e11, 0x18350abc, 0xfcd36814, 0x135efccd,
+    0x2f1661f7, 0xea7bc786, 0xefa43a52, 0x1979677a, 0x556a4a0f, 0x85b4fa47, 0x9a315272, 0x84f9ade8,
+    0x86e6e55d, 0x6f0b0659, 0xe784cf01, 0x63846032, 0x65f3742c, 0x7f88c1cc, 0x2cab1e3a, 0x082c512b,
+    0x93d74f64, 0xc9ab116a, 0x83d7c74a, 0x85574818, 0x5cbfa91b, 0xc581f686, 0x373aa150, 0xe5ee47bf,
+    0xab2ea23f, 0xc5dbce6c, 0x0e1d1895, 0x5d1a905f, 0x199e92ac, 0x99105374, 0xefa14a2a, 0x16872b84,
+    0x44adf807, 0x8f749ddd, 0xcbe58220, 0x2791766a, 0x828f8849, 0x2dbee2d5, 0x215ab316, 0xd6d710bf,
+    0x4d5cb3c2, 0xb3de5ac5, 0x21e031f4, 0xc4f1259e, 0x70907992, 0xde7e4384, 0x76d686a2, 0x55109019,
+    0x45894451, 0xc538a79e, 0xf6fdaa6e, 0xd5dae142, 0x387d50c7, 0xac7c9753, 0xabef37ab, 0xcfd13fc3,
+    0x477a49ac, 0x263a034d, 0xd92bcb52, 0x25193d85, 0x7bb50499, 0x2d8f0bd0, 0xb4f26e0e, 0x6e3630cc,
+    0x871a09cb, 0x25637518, 0x4d49f2d0, 0xd0170175, 0xad81ca22, 0x1a1eab72, 0x4fae4330, 0xbf451f22,
+    0x0476e0b7, 0xe3a24a37, 0x0b8d670c, 0xc9a133d5, 0xe43e0c11, 0xb048c00d, 0x4b353166, 0x8ab00be7,
+    0xffed08d7, 0x632755fb, 0x1ff88b12, 0x5c7be515, 0x16b40a3e, 0xabaea0b2, 0xcf454fa4, 0xf901a8a4,
+    0xf95fd880, 0x06b89786, 0xf1df412d, 0x68fa5907, 0x766375f7, 0xedd55ff2, 0xdbba6ffe, 0x80d3f6b5,
+    0xd3637e35, 0x591a67e4, 0x8ad0c25f, 0xfcb8c624, 0xa1b0fb35, 0x5f9c079c, 0x28b3b0b4, 0x14eb374d,
+    0x0d58b15c, 0x122bfe10, 0xe4f6dfc2, 0xff332386, 0x7fab84a0, 0x9eab2dd5, 0xc9162b57, 0x26cf728f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000050434567931384933391717171328183825670502\
+                          06626619577173497381555743452386751642958261026080625269202023248382759272448 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326,
+    0x93aa01c8, 0x4c52b16e, 0x49537f7d, 0x187a62f9, 0x9af02162, 0x2ae0c5c1, 0xdb41549c, 0x52f429ea,
+    0x00000000,
+    0xdd381e33, 0x67900b45, 0xf87f6bde, 0x06a39800, 0x4a07e626, 0x897a266b, 0xa317c4e4, 0x29668ab0,
+    0xe754672d, 0xd6b0cf76, 0x1fae2734, 0xf3728e38, 0x95f8f5c5, 0x3f00e047, 0xf64aecc3, 0x3d69e049,
+    0x9a83d38c, 0x217a5dea, 0xce5957da, 0xe6827f05, 0x47e59e3e, 0x77096bd5, 0x43bfcbe5, 0x5cc90094,
+    0x7d6188c5, 0x8502eb53, 0xe83752d2, 0xf00498b4, 0x6cbc7d04, 0x2b3706b9, 0x8589dc92, 0xe14e3481,
+    0x537f6ab5, 0xe2502e17, 0xa0f9424a, 0x066fb019, 0xcd6ae1b3, 0xd982c986, 0xfcf43000, 0x48870fb5,
+    0x9c32bed3, 0xc221f616, 0x9a35d71d, 0x0246d986, 0x6f0f9db9, 0x8db72aac, 0x32f78681, 0xc5fa5f0f,
+    0xfb78c1e1, 0xc964fc4f, 0x5ee4f37d, 0x75c20a11, 0x8b95461d, 0x637b7bf8, 0x89a94d61, 0xaad6ba20,
+    0x5f1fc7dd, 0x5a604f00, 0x8defdaf2, 0x5fe782ae, 0x480d956d, 0x7b630352, 0xb241364b, 0xeb6ce68a,
+    0x0daa5e74, 0x7e95406f, 0xb8c86153, 0x9a2d306c, 0x003faf3a, 0xe9a87e22, 0x86f04446, 0x6e75c0a6,
+    0x24e02410, 0xa4235635, 0xa151fe9f, 0xf5dacc2b, 0xd3853a2c, 0xfd2f26d4, 0xab2500b1, 0x38e18f77,
+    0x6d326978, 0x55b935fb, 0xbeb00241, 0xd9fc1547, 0xb92b3c1d, 0x99b6e0eb, 0xbac04cf6, 0x4a47d0a9,
+    0xc1a1f20a, 0x45599ffc, 0x310f304c, 0x51c5ad89, 0x0f5fbb0e, 0x6e685fc2, 0xcd8caad8, 0x41513f08,
+    0xd416a725, 0xca59b96a, 0x854d35fd, 0xf9a9bbba, 0xe75f74ec, 0xa59da082, 0x62d657ae, 0xda9acd18,
+    0xce7bfb97, 0x3cf4c50f, 0x07dd6d48, 0x0d18df9b, 0x0a888474, 0x52fff5f1, 0x58659099, 0x1392cc21,
+    0xcb3cfbaf, 0x0c45532e, 0x0b28f983, 0x5f1c8ee9, 0x76270a67, 0x12563583, 0x9cae2467, 0x7080b076,
+    0x8e80bb4e, 0xf20c9892, 0xc12f7787, 0x044eabf4, 0x3776287b, 0x7e3fe958, 0x97ddc7f7, 0xc4cb00d1,
+    0x7c413a73, 0x6edaa1f3, 0xa0ff783c, 0x77fd8149, 0xeab3986d, 0x62f42d70, 0x06a5969b, 0x2551e2c1,
+    0x26c0986b, 0x59e5f728, 0xa8dd263e, 0x481fb9d3, 0x3431abb7, 0xf3b6975c, 0x065a8de8, 0x63e40522,
+    0xdf310de6, 0x1d57bcc3, 0x07ace4da, 0x48b405c9, 0x3aa3afd7, 0xdc1ce200, 0x39a356d2, 0x7fd783db,
+    0xe2a3beb0, 0xbfffe642, 0x4e938683, 0x68617609, 0x12762af5, 0x5bbcdf3c, 0xe6c6bc96, 0xf570afb9,
+    0xe1d3b258, 0xe9eea1a6, 0x5c44224d, 0xe4244e2f, 0x8bded751, 0x527f184b, 0x3a7e186d, 0x19c3f244,
+    0xa0cc16a1, 0xaa56f385, 0x0f34f3ff, 0x14e78f62, 0xc50a16e4, 0xca1ccafb, 0xe9bb82fc, 0x91f189d5,
+    0x06354896, 0xd099255d, 0x87b82a29, 0x80667a5b, 0x7ad0c889, 0x6d491580, 0x3a762efe, 0x260dfc11,
+    0x1b3cce07, 0x42cc5053, 0xb692e374, 0x5b360061, 0x91809791, 0xe065edc5, 0x8ccb9f43, 0xb34fb352,
+    0x5b5e9b0e, 0x38f81fd9, 0x2fc0dcc9, 0x743e0897, 0xdbddd561, 0x048e91c8, 0x93e9708c, 0x00d570b2,
+    0x77c0d9e8, 0xc8a9cdcc, 0xad136976, 0xb1870ee1, 0xc3e44bd6, 0xfc4ae35c, 0x43fb723d, 0x9109aac2,
+    0x67cd90ba, 0x6ef3e5aa, 0xaad5932a, 0x458cdaab, 0x9cd9fb0e, 0x92354722, 0x671f0bf4, 0x68ce3e26,
+    0x1ed92c76, 0xac7b96d0, 0xa0a4eda6, 0x05d3aac5, 0xca18dfef, 0x3604a532, 0x436fbc0a, 0x5f5a1ebd,
+    0xd69f1553, 0x30c67a72, 0x83d0f77e, 0x14b81b76, 0x8da1b7d9, 0x891cee7a, 0x30eb13e1, 0xbe0b519e,
+    0xf842992e, 0xf811d11e, 0x2de58b9a, 0x7173a237, 0x0f1f6d7d, 0xb14937de, 0x0e77be2a, 0xa72a201d,
+    0x20c8beb1, 0xdd4563eb, 0xa1ec265c, 0xf2f8128b, 0x4563d2b8, 0xbfabcadb, 0x4519561d, 0x63b8cd27,
+    0x79bcc5d1, 0x6d0192e2, 0xf6fe51a0, 0x99cb9f08, 0x58304b74, 0xd050a125, 0xe0970c04, 0x0f66c5ad,
+    0xcc550408, 0x686f0535, 0x44e050d4, 0x009eb7da, 0x62807055, 0x70ade7a6, 0x32db3f9b, 0xb701bd6d,
+    0xbff44013, 0xb439994b, 0x0f5882c9, 0x6e5c3b2e, 0x891be63f, 0x4b21f724, 0xb6d5136e, 0xf6e34a83,
+    0x737fefa1, 0xb0f6c47c, 0x797eaff1, 0xee01f668, 0x819cedc2, 0x069eb269, 0x1ff94496, 0x30f505df,
+    0xda08e2fd, 0xb2852958, 0xcb7ab710, 0x1baa1c36, 0x9429257d, 0xbbca2eef, 0x83936558, 0xce84e44f,
+    0x6d7700f4, 0x2d40aa85, 0x4b8939eb, 0x8119374f, 0x62f54993, 0xf38dcd6a, 0xd96bbd77, 0xb93b71c8,
+    0x8ed7dfbb, 0xce156e0e, 0xfac1d4bf, 0x838ece09, 0xa836af5c, 0x1b3407bd, 0x78829f3e, 0xd1a1d859,
+    0x116aeda7, 0x8c6384e1, 0xb77b1df2, 0x91b714e4, 0xf0820635, 0x9cbac7c9, 0x2527a4a8, 0x73b9a5c3,
+    0xd5fa615d, 0x828fc95e, 0x100b6aaf, 0xe83589d9, 0xd8db314d, 0xb04d2430, 0x40970b04, 0xdbd2e28d,
+    0xaee7ceff, 0x2de81ad9, 0x198be3eb, 0x54826079, 0x0493cad6, 0x65268c05, 0xe8a6ac27, 0xad713e33,
+    0x285aaa31, 0x59366ff1, 0xfda43bf1, 0xb6f498c1, 0x9ec296c9, 0x35fb2b79, 0xe851a0e6, 0x92e48ef5,
+    0x19c6dedb, 0xc619f8eb, 0x862cef36, 0x28b8d78c, 0xa74ed54a, 0xaf2db032, 0x01d7bb3b, 0x63cfad33,
+    0xce3336fe, 0xa2edcacf, 0x716eed95, 0xdde86820, 0xf48d72f8, 0xfbfb3084, 0xed99732d, 0x1d8ba06f,
+    0x9a156b30, 0x7a6302e7, 0x639fb4b1, 0x9009d529, 0x046cae65, 0x4d57568c, 0x56aa9928, 0x66fa3803,
+    0xe5ecb42e, 0xeff1a3c9, 0xd2410066, 0xc1eb2e87, 0x5ee8a763, 0x5410f580, 0x13a9420c, 0x1ddee9fb,
+    0xa2e0a2a9, 0x06fd2314, 0x24282408, 0x5c02dfce, 0xce02cd35, 0xc9469754, 0x6806799b, 0x0d2631ba,
+    0x57a5cf21, 0xc88e0317, 0xc50019d2, 0x795d84ec, 0x0b1f1037, 0x10f83ff2, 0xc63af5be, 0xce15736f,
+    0xc17af9f5, 0x1e4ccd45, 0x055beeee, 0x806febd3, 0x87de4790, 0xcb974a41, 0xbd7e37a8, 0x7de55746,
+    0xc7204e30, 0x3b6953ce, 0xe9a512f3, 0xe4db590f, 0xc0d4e9d6, 0xbc7fc713, 0xfe216ac9, 0x69375358,
+    0xa5afde11, 0xec997cd2, 0x37921bdd, 0x96c1c6f3, 0xf3e10026, 0x15b2f947, 0x3e5a77eb, 0x4b77c28e,
+    0x13d7018d, 0x47888873, 0xc9331594, 0xf248e9ed, 0x2c2dc7d6, 0x929f8bd1, 0x7a5d48ea, 0x8655d53f,
+    0x495bf4ca, 0x4378d51a, 0x0ae5d2e8, 0xb3f2eded, 0x8eec1f82, 0xb3f35f69, 0x7164bc6e, 0xd1748efe,
+    0x140bcd9f, 0x1ae8965f, 0x11dfc4af, 0x56155d52, 0x9eeda9c8, 0xb7776fa7, 0xb041c31a, 0x91fe5b16,
+    0x4b04d751, 0x8a91124f, 0x69368cad, 0x459a6816, 0x372ddcc2, 0x123fecc4, 0xb3aa0eb7, 0x94a40a4a,
+    0x24ce9824, 0xfdafc1de, 0x3db5d80e, 0x2fc0225c, 0xe454abe8, 0x20be4484, 0xce713187, 0x5324daca,
+    0xf543aa7b, 0x83d3a65a, 0x5a8cbd18, 0x80260ab8, 0x31aa5a55, 0x05caa5b6, 0x03e59d06, 0x0fbeb5c8,
+    0xb9874b6e, 0x16cca96b, 0xb8c6483e, 0xd121525c, 0xfdd81835, 0xcb50d791, 0x627eb62f, 0x5a640ae8,
+    0x2d4b9071, 0xc561f242, 0x44e3605a, 0x7b5b4818, 0x7de87d32, 0x895a642e, 0x6e8ff957, 0x9e2fd7a3,
+    0xc4f222e2, 0x67eb8af3, 0x120946ba, 0xb9b3aeb7, 0x58cb4e71, 0xc4087762, 0xdf6943c3, 0x595cd082,
+    0xc7e0c0c3, 0x28f8b534, 0xc634b041, 0xaaec8e80, 0x71132497, 0x0271622b, 0x5d60db97, 0xc056b4d2,
+    0xe408681c, 0x659c1f31, 0xe05483f3, 0xf9def9f2, 0x6caaa5a2, 0xca683d61, 0x28836ac7, 0xd936fc9d,
+    0x42463a55, 0x5ede51e0, 0x0fa0f1f4, 0x850ccd57, 0x8f56668e, 0xe6121749, 0xaf1905e7, 0x6dfd601b,
+    0x52921540, 0xdf7f53ae, 0x26b7c175, 0x3d333bf3, 0xe0097cd0, 0xb0894919, 0x4b8e6dfe, 0xdcdd632c,
+    0xc43f39fc, 0xba97c9a2, 0x8c05d4f8, 0x99525ce6, 0xe0ff286f, 0x453a5a2f, 0xd2d94920, 0x8b5b326c,
+    0xd280ec1b, 0x6350e0b1, 0xd8a92fab, 0x42c23316, 0x6aab9119, 0x84f22491, 0x3a46696f, 0x0ee3cb78,
+    0xee844b8c, 0xa90a1a91, 0x42288e29, 0x72829713, 0x5fcb2626, 0xa1482982, 0x56098e94, 0xc49f765e,
+    0xb5c30f47, 0x8278e3bd, 0xb039a33e, 0xec1e23f8, 0xfdbbe0c2, 0xfc97b2b2, 0x0dcbc70c, 0xe5f2cdd1,
+    0x848221c0, 0xc62b9182, 0x56205d0a, 0xab898679, 0xa0ee150f, 0xd898ed9c, 0x256138ac, 0x47cfb69b,
+    0x3dae4999, 0x1e0354b2, 0x4b5bbe0e, 0xc4a4cfc5, 0xe8aff089, 0xcddb2e92, 0xee819c14, 0x628749aa,
+    0x16dd2251, 0x4665b1d3, 0x79fc1933, 0x5575e57c, 0xc6c0c114, 0xb497b98e, 0xc0108499, 0x766fa264,
+    0xcaba6c81, 0x038c61a4, 0xaca2227c, 0x289458dd, 0x404bfedc, 0x1094ddc4, 0x9d18edc1, 0x4e1ca27d,
+    0x52ae42b3, 0x4df34c55, 0x0aa27cd5, 0x2ac88c51, 0x017d6fec, 0xf9ee3f0f, 0xa65fb700, 0xde363934,
+    0x8e7c9ed4, 0xcec01c76, 0xd6c90d80, 0x673426d3, 0x8973b883, 0x9aeb5655, 0xc12db25c, 0x0f80ea21,
+    0xa570e9a8, 0xe4fa6a83, 0xee161ab4, 0xcda5fbca, 0x9cdbb4ac, 0x6809e805, 0xd735bdb9, 0xf55d9de6,
+    0x6dff4d0b, 0x42f3d4d4, 0xee0793c4, 0xb7c08927, 0x625b97fb, 0x640329f3, 0x9395abcc, 0x421251a1,
+    0xd6158662, 0xc2716546, 0xb2374fa9, 0xf942424e, 0xc02e658c, 0x2c30f9b4, 0x5bc68d81, 0x23b86e11,
+    0x6a79dd90, 0x25aa03db, 0xab7882b0, 0x0f2f2d44, 0xd2d1dfcb, 0x7730967b, 0xbd8c2c25, 0xad11748d,
+    0xa7fb31d1, 0xc1adb748, 0x6cefa7f0, 0x5ac752df, 0xa6b38141, 0x47a2637a, 0xb11ba929, 0x772b4f5a,
+    0xec718a0d, 0x7396d5d8, 0x9023ff1f, 0x90662ae6, 0xdb3d69a2, 0xd61dbb99, 0x22d758dd, 0xa2202461,
+    0xca6f970b, 0x49e5e8cc, 0x569c2831, 0x5517292a, 0xca493143, 0x24b0f423, 0xeab75906, 0xf9c8e29a,
+    0xa2de0e9d, 0x4f4d30f4, 0xc47bcc2d, 0xc668d0eb, 0xd5cd526e, 0x46eaa4d5, 0xf02d14a3, 0x300f16a0,
+    0x68a6f2f4, 0x7a05b99b, 0x0d3dcc3c, 0x22a0b278, 0x3e572422, 0x81162dfc, 0xfb535022, 0xbc825498,
+    0xfe2d1f02, 0xb9752d71, 0x13ebe649, 0xbebc6e7b, 0x6f84d935, 0x5bafceb7, 0x9ea24112, 0x9d09f000,
+    0xd1c0d9f2, 0x2bf603c0, 0x058e56cc, 0xe2629ca4, 0x235a95f2, 0x67ddf905, 0x46767877, 0x49c735de,
+    0x6710946f, 0xf7c76b95, 0x783d39c8, 0x159de6a3, 0x61209ae8, 0x44c4f2cf, 0xaf32b490, 0x7fe75713,
+    0x83ee5855, 0x8ca2a8b4, 0x1c2d1043, 0xa3478f1d, 0xae19f682, 0xdd761540, 0x532994c2, 0xc098f2ce,
+    0xf80d443a, 0x106e32b5, 0xc33abb5c, 0xe2ab865d, 0x7e35b5c7, 0xe014da18, 0x57654ce4, 0x0d185653,
+    0x60161c61, 0x102dda26, 0xf0c131d6, 0xb5037db7, 0x48c1ec75, 0x48e373d5, 0xa8fb8280, 0x82895346,
+    0x985a15ad, 0x0557198c, 0x5c5e1b4c, 0xcfc41c63, 0x59e1e4ca, 0x80a37dfc, 0xf0087336, 0xf3a14785,
+    0x6b707afa, 0x683af7a3, 0x09a92041, 0x507ea24c, 0x0aa5220c, 0x5cc9c1e2, 0xe5be43e1, 0x164a2493,
+    0xc5e83b2d, 0x81a0117c, 0x7d60880e, 0xd4e7e308, 0x25bf37d7, 0x9bbeae81, 0x7208ad29, 0xf2522c69,
+    0x573dda13, 0xb31f59ab, 0xc1aa7b96, 0xce584c66, 0xfe83b6ff, 0xbf6af1b8, 0x37ad9e54, 0xa107768f,
+    0x2f672c85, 0x29dce31b, 0xbe5da0b8, 0x48bea7ae, 0x62c96152, 0x158c40c3, 0x11701ce4, 0x8f948233,
+    0x696b3925, 0x08a209e2, 0xd10cce24, 0x9d83ae7e, 0x654e9edc, 0x67bb2ce0, 0x5e3c7ee0, 0x23da7112,
+    0x5bd00ee5, 0x73a205af, 0xce540052, 0xe5788bb0, 0x5d632f42, 0x703207ef, 0xa65f79dc, 0xb682a9cf,
+    0x0e319bd2, 0xcfbdad31, 0x2d7a9053, 0xfef6a2f3, 0xef0a0faf, 0x8c137648, 0xd17068bf, 0x4aca2ec4,
+    0x1bdc5f03, 0xf194c588, 0x83a338dc, 0x50c6ead9, 0xcdf28709, 0xaf1a9ecb, 0xaa2bed27, 0xb90770c7,
+    0x4fa3f07c, 0x06317a0f, 0xdb0f9aec, 0x66df41a0, 0xc8676b1b, 0x3fcb3b7b, 0x22cd8020, 0xa912cb9a,
+    0xc1002ae1, 0x960d0756, 0xaccd2a38, 0x29251c48, 0xf206a819, 0xa3e79eaf, 0x79d740b6, 0x6bd93cc1,
+    0x50127d42, 0x7dc178cd, 0x5cb4dd6b, 0xa07dd7d9, 0xb5c1d868, 0xa807b4bf, 0x221388b0, 0xfac4e070,
+    0x23f15d84, 0xaad058df, 0xdab6b43d, 0x5c75b8dc, 0xe02e2086, 0x39235a42, 0x4a9ce428, 0x6a6c4b35,
+    0xeff9c5aa, 0xef50b92d, 0x745ba2be, 0x21f58383, 0x62e523e5, 0x2b72186b, 0x2ec401bf, 0x7475749d,
+    0x6dfa8c47, 0x74ab1aef, 0x80d4fa69, 0x943d2b85, 0x4875e7b5, 0x64a88141, 0x86553624, 0x583f74ea,
+    0x10787559, 0xf774a170, 0xd56a37eb, 0x888ee389, 0x3ddac521, 0x4c49d0b6, 0xd04ee07f, 0x3c05bd65,
+    0x79899b37, 0xbe7065db, 0x585cdf0f, 0x493864b1, 0xe3028208, 0x28202212, 0x57db081e, 0x86e8659b,
+    0x6b054f10, 0x02f0dff3, 0x97cf62b3, 0xfaec99b3, 0x8a57ad85, 0x19caed73, 0x8d8631fd, 0xf7fd9d3d,
+    0xabb6d8fc, 0x89b94c73, 0x05aa788f, 0x7668b38c, 0xb4dbebf6, 0x98c5bea6, 0xc2859d40, 0x99607bbe,
+    0x4d6d1a16, 0xf3b86c52, 0x67ea19a2, 0x03f4623e, 0x08fad67e, 0x426fdece, 0xa3f55464, 0xd817513a,
+    0xae5c11fa, 0x2bccf61c, 0x4f1fc6ce, 0x2b1e170e, 0x593965a3, 0x0481e482, 0x8ba7c908, 0x7287f552,
+    0x093aa555, 0x93a85212, 0xcdefaeb3, 0x0ec2c855, 0x56a044fd, 0xd36f1db7, 0x7096e44f, 0xa26dbda1,
+    0x6eb9de75, 0x7517aa5b, 0x1735bfba, 0x96e3d507, 0x036a1af9, 0x79934022, 0x8554faf8, 0xd6aed92d,
+    0x0a1262a7, 0x6b9fc26c, 0x61e6a9ce, 0x28311ad2, 0xfbb69867, 0x0c21435e, 0x11470b06, 0x4acdbcb3,
+    0x8056a7b9, 0x952af8a9, 0x228b798f, 0x986fb9c3, 0xc1d0c95e, 0xae27c777, 0xd290a13d, 0x7ccaceb5,
+    0xfefa8c2a, 0xa5723ef1, 0x45d5b0c3, 0x21c51e19, 0x909f8453, 0x469ddc0c, 0x48d49eb7, 0x61627c91,
+    0x7bac1564, 0xfabeed4d, 0xe9412cf5, 0x8a6dd28d, 0x0d7dfb71, 0x9083f215, 0x1f3dac2a, 0x68169abd,
+    0x78b615c0, 0x9f165f14, 0xcfea02a4, 0x18c559d1, 0xcfed58b9, 0x4aceecec, 0xc5e89afc, 0x122da3c0,
+    0xa9efb0a4, 0x362f6bd6, 0xcd484443, 0x85790206, 0xdaf242d5, 0x38076c63, 0x10c586d0, 0x06a7d939,
+    0x9e620b5c, 0xdd57405d, 0xae7a5150, 0xb81a7f34, 0x1727ec41, 0x6fea527f, 0x4de3725b, 0x0a67d80f,
+    0x0759c82e, 0x7f5b9b61, 0x7b1e9288, 0x577424bf, 0x3d47efee, 0x48c39a88, 0xb2cf034e, 0xb09cba42,
+    0x31c4c5fa, 0x2a0c6675, 0x35c1bfe5, 0xcec1044d, 0xf7ea4c4a, 0x44b5aeeb, 0x61b5a8ff, 0xb8cac3fc,
+    0x9ba59e08, 0x8385ea0f, 0xf1fcb0c0, 0x336d8ec6, 0xf07f26bd, 0x43b2bcc0, 0xb46bfbee, 0x46a17f41,
+    0x33645959, 0x5a3ae43d, 0xc66d0996, 0x07bcbcb5, 0x82992f45, 0x56a3b653, 0x79678a4e, 0xf9299f70,
+    0x067150ad, 0x0e44fff5, 0x77c2aff0, 0xbe227c32, 0x5db425b5, 0xce4ad08e, 0x886ca4a8, 0xb60bf02b,
+    0xbcfd0fb7, 0x63fc67e4, 0x6bed27b4, 0x2a897cf1, 0x97aea876, 0x422f0d23, 0x4e59883c, 0xca66b476,
+    0x06062d31, 0x4e250fa3, 0x11e65c0a, 0xe2b32c25, 0x750384d8, 0x5e7fa56e, 0xb84908af, 0xdef3710f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000025217283965692466695858585664091912835251\
+                          03313309788586748690777871726193375821479130513040312634601011624191379636224 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993,
+    0x49d500e4, 0x262958b7, 0x24a9bfbe, 0x8c3d317c, 0xcd7810b1, 0x157062e0, 0xeda0aa4e, 0x297a14f4,
+    0x00000000,
+    0xedf99bfd, 0x138d4573, 0xa7cbd469, 0xa1f87ede, 0xe4c9b8aa, 0xbb4a64dd, 0x8f8e755d, 0xa7691cd1,
+    0x1210dbbe, 0x6b44c55e, 0xdee8ab1f, 0x31201194, 0xcb59c087, 0x61a25042, 0x4197821e, 0xe7edb0a7,
+    0xa791e77f, 0xa99b8116, 0x3bb1e41f, 0xe7660681, 0x682ac1e8, 0xc320f4e3, 0xf197e17b, 0x77a8e89c,
+    0x65c84ce8, 0xcac75082, 0xcab0b6cf, 0xc71fc17c, 0xe808d804, 0x42e522e9, 0x3094e647, 0x31e5191a,
+    0x85dcabff, 0xbfda99a3, 0xb21e3b53, 0xb94e1ae2, 0xad7c35d7, 0xe0b11412, 0xb592be74, 0xae7fe5e0,
+    0x344c4446, 0x9c969b17, 0x9bc0b7e1, 0xecafc725, 0x533780ff, 0xc4d6ea23, 0x3b4dbd08, 0xa9065cb2,
+    0x62f939a5, 0xf96dfdd9, 0xd9202036, 0x132a4135, 0xd4460c71, 0xb09665c0, 0x351eff30, 0xac3a2b37,
+    0x5c8777ef, 0xc963b94a, 0x95562896, 0xadec4bb9, 0x73ebe56c, 0xe58679b3, 0x2fcc6d4a, 0x9a1a08d5,
+    0x0bb11ead, 0x895f3916, 0x0f7eeb67, 0x234b8ff0, 0x6447bc44, 0xfae706f7, 0x42277f35, 0x5dd2a2cd,
+    0x275fbd2d, 0x993b0fe8, 0xc0d58df5, 0x63cfc4e2, 0x390288bb, 0xfb9579e4, 0x03d8bb01, 0xd90b62e5,
+    0x24dc2953, 0xdfe2a750, 0x499e15e8, 0x05acf2ba, 0xfed34737, 0x3ca17ff9, 0xea975fe4, 0x70f23d1c,
+    0x871f8be4, 0x43055f49, 0xf6d6d4a7, 0x4ae4194f, 0x866d7c5e, 0xc4f365f0, 0x5a159e7c, 0xa020a8cf,
+    0x96f191ba, 0x255a391b, 0x3b5e776f, 0x47c018b6, 0x92290b85, 0xce25090a, 0x948023c0, 0x065c74c2,
+    0x0a57dd14, 0x1098a9f3, 0x55be686d, 0x6d64eab0, 0xae9e6689, 0xac6924b4, 0x22c7c050, 0x3d000b37,
+    0x8181ffef, 0x55f206cf, 0xb0a27353, 0x5ad93760, 0x05944eb3, 0x198fd562, 0xf9115371, 0xb2078d98,
+    0xe3eadccb, 0xf485d94e, 0x45fac4b1, 0x18db636e, 0x4687de9a, 0x03ccc586, 0xa3793e12, 0xa5a825b8,
+    0x8df0a115, 0xff303bc5, 0x589ef333, 0x61ea239c, 0x9dfd4ca1, 0x456024fe, 0xfb6f34e4, 0x8688bc33,
+    0xeb2c1b53, 0x476d446c, 0x7d2c29b5, 0xa9679ccf, 0x78465628, 0x9295b179, 0xab95b9f5, 0xadab7872,
+    0xaca5d6af, 0x7193ec37, 0x6ebce599, 0xb7ea4d8f, 0xe882c960, 0xd0985b16, 0xb867b09b, 0xd10be77c,
+    0xb0cf6b2d, 0xdf2a0055, 0xebddea8d, 0x0c048d09, 0x7aeaf3cb, 0x3819b10f, 0x964b2420, 0xa29706bf,
+    0xeaa6f9c4, 0x19fd296f, 0xa4551acf, 0xcab330ce, 0xbf87278f, 0xc8c3ad9b, 0x874d2ce3, 0x7d558af7,
+    0xd6874dab, 0x44363b9a, 0xd958bac8, 0xc1028ed5, 0x35d30ad6, 0xca5e5d71, 0xfee38eb2, 0x89865d6f,
+    0xdce01d76, 0x09d84b3d, 0xc737b795, 0xce307af6, 0x69ee4b47, 0xfff972e7, 0x5d019c4a, 0xf4ab0259,
+    0x9040c6df, 0xd8cdf32a, 0xdbcbde93, 0x47f3c5ba, 0x1f5a2045, 0xcec52bc7, 0x8212b0e5, 0xd7ff4508,
+    0xf23f3f41, 0xe33c5537, 0x7a7a15c9, 0xa6c0665a, 0xba63d82c, 0xad98e4ad, 0x660c76a2, 0xa1b5d2f4,
+    0xa5cb0196, 0xc1f9ba95, 0xec6325cb, 0x09c63a28, 0x3a76dc50, 0x6cca8dc9, 0x3a6d2197, 0xecf268b0,
+    0xf696efa3, 0x21d156e3, 0x4244da21, 0xbd6fc2db, 0x397542f9, 0xcb98d7c5, 0x1c958b53, 0x05419217,
+    0xb1125140, 0x60fdf10d, 0xd9e165f7, 0x6c089bd9, 0x6e325a16, 0xd62f8ffc, 0xfe40cffe, 0x9a2fad4a,
+    0x2d82d61f, 0xc3b34a40, 0x6e8ac45b, 0x20b56f5e, 0x5e987a32, 0x51b16ef2, 0x79d775e3, 0x32d29917,
+    0x21e91efb, 0x8d6213f3, 0x8344888b, 0xef21baec, 0x83e30242, 0xc0f47230, 0xf514a4de, 0xf151d01b,
+    0x114f4025, 0xb3e52a5a, 0x1f958bb9, 0x125c7482, 0xe6c47876, 0x85141938, 0x6f1197af, 0x053e257d,
+    0x7680b319, 0x78f7e025, 0x95f0054b, 0x321f8e7a, 0x3381a89f, 0x35b323db, 0xab36d608, 0x4b7fa191,
+    0xd47a16c1, 0x66f302a1, 0x84430024, 0x95a8839f, 0x5d396ac7, 0x2f130f05, 0x4ae625cb, 0x1c7f38ab,
+    0xa33c61df, 0xedb8ea6a, 0xb6deaf7c, 0x63dda110, 0xef6a8f4e, 0xc5545ac3, 0xac071984, 0xf1cf0b65,
+    0x94a9cf76, 0x30ed5572, 0x25ae7dc6, 0x1320e944, 0xd6e876a2, 0xa77c2a52, 0xf7990d5f, 0xded58fe2,
+    0x6aac7cb2, 0x511caed1, 0x28368869, 0x445eb992, 0x49863a04, 0xfbbeb980, 0xca6f7dc8, 0xd728e868,
+    0x67abf6e9, 0xa2b09373, 0x8e287406, 0xee965cc5, 0x7c931fdb, 0x3195f051, 0xbca06e6b, 0x78bdeea6,
+    0x532c0839, 0xeca6ed4a, 0xd4d4c231, 0x219b2c3a, 0xc6d70a63, 0x19139b09, 0x430a0180, 0x52d9d71c,
+    0xe6a193b0, 0xc5d04e54, 0x1ba69c03, 0x8f7f8f8b, 0xd42c85b6, 0x20ef7129, 0x9c08ea58, 0x94c8d8a9,
+    0xbc74e43c, 0xa1484c9e, 0xf9307fb1, 0x83ee0359, 0x5d1d85d0, 0x20946664, 0xdfb1dfd5, 0xc7f719e4,
+    0x35e070ac, 0xd467007a, 0xb1c824ee, 0xced01d2d, 0x0da7d556, 0x13cacf99, 0x66d6f0fb, 0xa597e219,
+    0x532bbac8, 0x31231e52, 0xc62897b9, 0x6e21ac1e, 0x51b2cda3, 0x137fdde1, 0x7a5d3a29, 0x08473d79,
+    0x83a364e3, 0x235cf09e, 0xc4208b0d, 0x2743d368, 0x1e166aec, 0x0e4904bf, 0x5ae3a21b, 0x152e4c9a,
+    0xa98a2e06, 0x995ec732, 0x45d51e8b, 0x27c4d3ae, 0x98dd6cfa, 0x819fdb33, 0x8b08f5e1, 0xe48b794d,
+    0xf9ec0074, 0x4876d44a, 0xa4b8f5df, 0xa7d78ec0, 0xe9a655f5, 0x92acc9f8, 0xebf703cf, 0x98406f07,
+    0x290a9656, 0xfa56e1d6, 0xb026b48a, 0xe07b7bb3, 0x2c6735b6, 0x17996082, 0xf1d25e58, 0x07936b79,
+    0xc2e95208, 0x6985259d, 0x76bb949d, 0xb9785e8b, 0xb53b9fe6, 0x513eae17, 0xad5ac3b5, 0xd9a0bbd0,
+    0xe75ca4aa, 0xd8447a6e, 0xcc873e58, 0x9389b08c, 0x4727eb1a, 0xe83b37b5, 0x0c629fb2, 0x9b52b017,
+    0xe5935761, 0xc002403d, 0x3a99789c, 0x7217b1e5, 0x8d294c87, 0xbc9cf981, 0x104b774c, 0x66ca82cb,
+    0x4d36f583, 0x6f564ffc, 0xbd2d3dd4, 0xfaec9b28, 0x404100c9, 0x156d91d3, 0x0c9eabed, 0x2050e5a8,
+    0x365e82d5, 0x1b9ea44e, 0xd2474473, 0x0ef84533, 0x585e95aa, 0x043f1e67, 0x2077ca56, 0x9e1e118a,
+    0x155dc3a3, 0x83e289df, 0x6df301d9, 0xaede30d3, 0x25aed2fc, 0x9cf669a9, 0x3a7481d4, 0x936ba06b,
+    0x899647da, 0xa98fd7df, 0xeb750068, 0xe8f69fd8, 0x7a41188a, 0x5973d678, 0x9f56f9c2, 0x24a742be,
+    0xed5609bb, 0x9253cafe, 0x1821bd0b, 0xe8ce2ef6, 0x15797262, 0x846d2909, 0x5d5b0e4d, 0x95d94934,
+    0x2edbd1e9, 0xbd8fa8c9, 0xe6c05857, 0x08ff64e9, 0x721772cd, 0x09f8429d, 0x5c77dc6a, 0x2276a3d3,
+    0xb345be49, 0x0aec94a0, 0x1725a8bf, 0xdd931832, 0x82092dc2, 0x6ecb7b3c, 0x08952624, 0x2f8f4b8b,
+    0x3215ed8c, 0x596be145, 0x22da2006, 0x70eb9cd9, 0x2066426d, 0x32fefaf3, 0xf090e074, 0x3ec8e7e7,
+    0xc5d72a1d, 0xf8a20938, 0x3a26815f, 0x46c061fb, 0xa845084e, 0x698f8f5f, 0xda36a54d, 0xe36dd06e,
+    0xd0244ea1, 0x9e7afc88, 0x3d1ededd, 0x3aa2bd14, 0x5d2a3085, 0x8c8f0720, 0x207d40f5, 0xf1a40e3e,
+    0xc98811f5, 0xe0bf7638, 0xd0d60481, 0x30bf08a9, 0xac1c1e16, 0xd83bd22e, 0x0776b6f8, 0x75fcdaaa,
+    0xfaf84b3d, 0x0a49c16f, 0xc504c9d9, 0xd34fcfd1, 0xa4db7a86, 0x0c2a6d14, 0x6049721c, 0xf6e1b93a,
+    0x8fc7af95, 0x2e0b1ce2, 0x805f0f1f, 0xec0c99d7, 0xdbf11d69, 0x74dc033b, 0x5023a677, 0x70d7633c,
+    0xbf28f4bf, 0x85cd7d9e, 0x43e441ef, 0x33d9105a, 0x0e1c7631, 0xadc19555, 0x2e7354fb, 0xc6ef12b7,
+    0xa220bfdf, 0xa2135178, 0xaa62079e, 0xc622a5fd, 0x9a1508e0, 0xfc6df85d, 0x91fa8221, 0x43ff700d,
+    0x531e2d0a, 0xb20eabe0, 0xd8177aa0, 0x4f402469, 0xa8af2442, 0x9253013e, 0xc908aab5, 0x718a8489,
+    0x1ee30b2a, 0x2692fd1e, 0x0cd694dd, 0x3c99ac77, 0x12afb899, 0x0332b7a1, 0x944b067b, 0xcbe87d35,
+    0xc411094c, 0x86032bc9, 0xd3ab9d23, 0x9258c890, 0xf2343338, 0xde1cef8f, 0xd82f207f, 0x8d93ff6c,
+    0x70690ea4, 0xfa519d2f, 0x07377c55, 0xde7e12ac, 0x4fd023b6, 0x04af46ec, 0xd2df2cf3, 0xca006c66,
+    0x0debcabf, 0x8eae3ae5, 0xc84f952c, 0xba23560b, 0x858431e3, 0x583a5ef2, 0x116162c0, 0xc1714294,
+    0x23b49c2d, 0xa6a4bc7a, 0x989fbd2c, 0xe375c455, 0x86e9f0f5, 0x894efffd, 0xf795822e, 0xf5a155f7,
+    0x383e9381, 0x3c36e2c3, 0xdbfacfad, 0x1e0653c7, 0x01b1df33, 0x77ef630d, 0x55ac5983, 0x0c2f11e8,
+    0xc71545a9, 0x34d3adef, 0x649a5a30, 0x0d4d0eb3, 0xab15a90c, 0xf15715d6, 0xe07bc5b1, 0x511b2472,
+    0x777fa7de, 0xc031d64a, 0x9999cb84, 0xa72a706f, 0xebe9ae5e, 0xb56c8e40, 0x1aa7af3f, 0xffe7bc53,
+    0xae2fab33, 0x5ca2ad9d, 0x008ca1cd, 0x96343320, 0x6a4adf77, 0x11d16c3f, 0xce634081, 0xe7616c4a,
+    0xdb4a0997, 0x9af7ca88, 0xcc927c8a, 0x8867f47b, 0x64c88074, 0x35d9627b, 0x314b9f16, 0xb897eedc,
+    0xf610fbed, 0xfd6eb436, 0x961d2e5f, 0x47e4fd93, 0x83e74e0b, 0x955b10da, 0x2c0041bc, 0x62438b06,
+    0x26230a64, 0x34b18332, 0x67e77ed8, 0x2195e877, 0x8cb43f0b, 0x4adb96cf, 0x0a8c42c5, 0xd6f1a92c,
+    0x147d8828, 0x6e6b4d6f, 0x9c011052, 0xcb5523c6, 0x136f72a6, 0xe7e172f2, 0x1f6bdde3, 0x6e6d8e32,
+    0x739bf637, 0x1be515c4, 0xbb866066, 0xf920d929, 0x5b5ba634, 0x94d881b6, 0x82b78565, 0x847449aa,
+    0x213d6c0d, 0x279b1682, 0xd136aa9f, 0x181a3326, 0x883ae71f, 0xc87d0aca, 0x0385d90f, 0x570eca38,
+    0xdded4140, 0xf0b5e57c, 0xef451ed4, 0x382487b7, 0x1edd52a9, 0x5477f8b5, 0x49570618, 0xd0463105,
+    0x69c7abdc, 0xcb8e641d, 0x1d70b249, 0x72ae9a13, 0x53cd488b, 0x9c51de0a, 0x8a1cd9d4, 0xcd7a96a7,
+    0xe58faad1, 0x86a681e3, 0x813e1aee, 0x8847e9ce, 0xabc27522, 0x2828b608, 0x31807d36, 0x6d15d9ca,
+    0xaf17ce91, 0x669eeb7b, 0xe0fcca93, 0x5bb16f8b, 0x569b2fd6, 0x8f23c939, 0x839407c8, 0x707bfac6,
+    0xf0df7d8a, 0xd40b2b68, 0x6f075648, 0xc0125cea, 0x1cd2ec6c, 0x98a70d0e, 0x75604ace, 0x4ff293f2,
+    0xac332d6a, 0xdb888127, 0xeb3193c8, 0xe7a3bac4, 0xbb9d06b9, 0x0f362a20, 0xfa24caa2, 0x3724f85e,
+    0xed964ded, 0x1c4cd1d9, 0x961a00e8, 0x3e1ed82c, 0x954e2b8a, 0xe11b7692, 0x1a2a467a, 0xdd78c660,
+    0x49242019, 0x73e285f4, 0x23b2c10c, 0x59ed610c, 0x190d6af6, 0x9f056d92, 0xec50ec9a, 0x4bd23007,
+    0x1181dc90, 0x98c2884f, 0x58cb32ef, 0x4e94bd40, 0x69ec2b34, 0x53426863, 0xdc42a8eb, 0xe83ad320,
+    0x397cc331, 0xf4ac5d86, 0x97c21beb, 0xed17f090, 0x86794b7f, 0xaf2ec76a, 0xc08482b5, 0x2ee53bb6,
+    0xdc3fb1cb, 0xb8dd7b2f, 0x719f1425, 0x4ffc595a, 0x009d661e, 0xbd9b3b2c, 0x9c7af929, 0x8ff00a7b,
+    0xa9e183aa, 0x3820144f, 0xba3e4bbd, 0xa10fd897, 0x3f4fc02a, 0xa0e38957, 0xffa99608, 0xaa30e9da,
+    0xa649d223, 0x6cf6210b, 0x8e6a442d, 0xfc00228a, 0x9c52be1c, 0x9d5ce9b3, 0x2a63c6be, 0x37b44b1d,
+    0xf6660b33, 0x763088ad, 0x6b1c9191, 0xab48f326, 0xe382bd3a, 0x3cd1e8a4, 0x9d19bcee, 0x3fcc6256,
+    0x5d78687a, 0x6e446c91, 0x4d5425bd, 0xf1c3d033, 0x2ce3994f, 0xdecd696d, 0x1a11c0d7, 0xd95bccc3,
+    0x0d589c64, 0xc64b0469, 0x0373e750, 0xc41c384c, 0x2e235675, 0x8f3bcebe, 0x4e7922ad, 0x20aca7ea,
+    0xfa735480, 0x6cffd425, 0x5b75d974, 0xff81e2b9, 0x344f74e2, 0x6c05b02d, 0xe71c255b, 0x1347ccde,
+    0xfd1021f8, 0xb8e51c2a, 0x5d289bde, 0x9a189aa3, 0xc41ebffd, 0x22c55464, 0xf598344a, 0xfb4afae0,
+    0xaf561997, 0x60155ab1, 0x8cf31fc4, 0xb9e836ff, 0x80a8669b, 0x79f56460, 0xc6dcf981, 0xe26f1cf9,
+    0x10c08dd0, 0xe7f83d1e, 0x4dfea136, 0x69eecab1, 0x2f7f807d, 0xa9888893, 0x1faa0c5d, 0x6c3e6723,
+    0x4ffdd87f, 0x0fb06582, 0xfc69b3a4, 0x6f3c13fd, 0xac19a8ad, 0xeea64950, 0x0fbfa33b, 0x7fda6bc5,
+    0x74ec1f46, 0xe4a7f1e2, 0x8cfd2e93, 0x1827b8ee, 0xcdb67d19, 0x98a317f1, 0x511fe852, 0xff6e7c0d,
+    0xcd0175d3, 0xbce9c4e2, 0x53c74932, 0xd56d5faa, 0x1c8163d2, 0xed115e97, 0x9ff7c207, 0x40c558cb,
+    0x4b4aebb1, 0x3b97680f, 0xeed5273c, 0xb980b7b7, 0xc98f8168, 0x5ef2c6d3, 0x5397c70e, 0xfbf52a4d,
+    0x4694a77a, 0x48cc0eca, 0x62ce5ef8, 0x7821f3c4, 0xdc812911, 0xbfaafefc, 0x74f94a5b, 0x7105ebe0,
+    0x742627fc, 0x279f34bb, 0xf415bedd, 0x3a9fc296, 0x572e38b4, 0x33362319, 0x1e758810, 0xc0cebf02,
+    0xbe01641c, 0x510fd6c9, 0xe85627bd, 0x7eb24343, 0xb03e51f0, 0x52875a32, 0xbb39dd6d, 0xcd350dc1,
+    0x8c8ebeb2, 0x9a1b97b0, 0xe4254004, 0xe6824118, 0x519df6b1, 0x639aa5fa, 0x014b035d, 0x2b3680a2,
+    0x09e01e11, 0xa64b918e, 0xdf62cccc, 0xe2e1c6e9, 0xf47d706e, 0xcf34ff4c, 0x87052657, 0x29abf3a8,
+    0x71f0745f, 0x008bff5a, 0x35fe720a, 0x0b8e6c56, 0x60fc90e7, 0x8cadc482, 0x4078830a, 0x0e61682e,
+    0x23a15e43, 0xd68aeb14, 0xca23b70e, 0x1c9ded42, 0x3eee8416, 0x2f9f227c, 0x4ad0c078, 0x79c7cd85,
+    0xdc4b7acf, 0x5a327e0e, 0x9bd8c23b, 0x7f3597c2, 0x2d5596b2, 0x0a398238, 0xfaa9d7c7, 0x3600c5cd,
+    0x947f5234, 0x959cbb2b, 0x33f492d5, 0x3d7b05f2, 0x6b13b41d, 0x9587efda, 0xc1fd2c99, 0x18b5ec73,
+    0x7e5da64b, 0x5efef662, 0xcdf37911, 0x3d529288, 0x93c0111e, 0x5ec5d546, 0x6354c4ff, 0x09cef8aa,
+    0xd3373613, 0x1de199eb, 0x3d4845b1, 0x4faf64f6, 0x60b05f1f, 0xd1644659, 0xae395d02, 0xd1f2c936,
+    0xff2cd592, 0x2daf66eb, 0xe92e455b, 0xf4619f27, 0x5a891541, 0x5dc7beda, 0x9f67a2cb, 0xaa0d2541,
+    0x368b237e, 0x754d6adc, 0xdc7c2078, 0x3296bcab, 0x16c53b85, 0x1c9d3a75, 0xebc5783e, 0xb68a96cb,
+    0x7dc757e9, 0x1556850c, 0x9a9d9f89, 0x67ec0749, 0x62deeb65, 0x5fda0287, 0xfe73b485, 0x472a1d6f,
+    0xa99ef0d2, 0xdb44f077, 0xf81471fe, 0x1c9a40ca, 0x82010a78, 0x38872b5b, 0xefcb63a3, 0x9a5d355b,
+    0x841511ad, 0x4ae4d62e, 0x8f84b8aa, 0x68dd2712, 0xe6a8b475, 0x170ce3f1, 0x61665799, 0x97d04147,
+    0x3812d9eb, 0x2be3daa1, 0xf354b37e, 0xab9a8095, 0x5fadb0b8, 0xbeefc6f9, 0x83db62a7, 0x903c8bd1,
+    0xc38250e7, 0x96b95837, 0x79fe434d, 0x93366616, 0x1d1863fa, 0xffce7857, 0xb481ff08, 0xc42d5316,
+    0x5f8ed8a5, 0x3463fa4f, 0xd3337405, 0x1015eb7a, 0x40b98949, 0x8c64224f, 0xeef9337e, 0x1a6438af,
+    0xf8ff7e67, 0x240d3a9e, 0xec85ec1b, 0xbb4d93c7, 0x413e2f39, 0x19777b93, 0x97496383, 0x78c3557b,
+    0x7f7177de, 0xeb9805f8, 0xbfaae3c5, 0xd338110c, 0xaf805d6d, 0x6bd64802, 0x4b8cb0d3, 0x40531121,
+    0x00cd6963, 0x262b677b, 0xaf946590, 0x1a2c8b0c, 0x8ebae93f, 0x2ad81883, 0x259600dd, 0xcbe2a1da,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000012608641982846233347929292832045956417625\
+                          51656654894293374345388935863096687910739565256520156317300505812095689818112 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9,
+    0xa4ea8072, 0x1314ac5b, 0x9254dfdf, 0x461e98be, 0x66bc0858, 0x8ab83170, 0x76d05527, 0x14bd0a79,
+    0x00000000,
+    0xf6d2b240, 0x98b15c87, 0x8bf5c6c6, 0x9cff150f, 0x00dd7e48, 0x9440cdb5, 0x5425959f, 0xefb9f9a3,
+    0xc351612f, 0x9c637edf, 0x25a98589, 0x2487771e, 0x1558d8fd, 0xf9e81219, 0xecc41ca6, 0xe5aff456,
+    0xbb094eff, 0xcbe67a17, 0x9cd25f49, 0xa288e96b, 0x98939349, 0x18fb7e4d, 0xd1bfdbab, 0x1d785fef,
+    0x31615fb6, 0x5bdc3f9d, 0x40bcba84, 0x6f96d73b, 0xdbd86c12, 0x45ebd33b, 0x66b8f062, 0xae66546c,
+    0xdb7ac1dd, 0x92474646, 0x4a4855f3, 0xb9af241d, 0xd32f1ec1, 0xed631f65, 0x1efc8b98, 0xa3407539,
+    0xa7148cbb, 0xd314c5b6, 0xfa51f7e2, 0xfd611f24, 0xb048c79a, 0x82a2809f, 0x3faaccff, 0xc0821311,
+    0xd7e0c63a, 0x2ad7ce83, 0x812a7a46, 0x4a76c241, 0x87cf36ab, 0xf10250cf, 0xbe49aefb, 0x4c826005,
+    0xdb4260f5, 0x710f265b, 0x81049f81, 0x19bdd058, 0xfc2d3e5b, 0x0f4c69e5, 0x1864d930, 0x5c780034,
+    0xaeb94ac7, 0x49c77dbe, 0xe0b19cdd, 0x99f96e1f, 0xb27a8fe9, 0x4a53c84e, 0x2e5dc707, 0x2ece23ad,
+    0x695e4aeb, 0x97d597c8, 0x81a77f47, 0x4d62e1cc, 0xec3dae89, 0x1866be67, 0x2cd19af3, 0x5662a978,
+    0xf44a0689, 0xc0c7a3b5, 0x2b555aee, 0x4a9986fd, 0xa965ec4a, 0x4c7b99c0, 0xbe62a7f9, 0x26c05647,
+    0x591bfbcc, 0x32e05d4f, 0x8a6572f0, 0x71cf7e55, 0x643b99cf, 0x7bc3e767, 0x6a264141, 0xdbc91dc6,
+    0x9110ac65, 0xea987cbe, 0xd218b337, 0x88d392eb, 0x75fc2c70, 0xa6f4a8ea, 0xfa49b8a5, 0x36a68bbd,
+    0x241314f2, 0x0fba2371, 0xb8cfe53e, 0x84a04c4e, 0xdb25879f, 0x5c8b2f35, 0x05b071f8, 0x5f441e5a,
+    0xd8486caf, 0x84b15aca, 0x597c5b59, 0xf0872827, 0x40e77ef8, 0x193f2aec, 0x91bef1c9, 0xde5723ef,
+    0x917fbe40, 0x9f66a428, 0x80a7c644, 0xcbb09888, 0x79f402d7, 0x7078f496, 0xea290daa, 0x038e1ca5,
+    0xb1c7613f, 0x20d00010, 0xce475c8e, 0x55bafe0b, 0x28dd3ebd, 0x49d7fe02, 0xe5531083, 0x3fb091ef,
+    0x958909e3, 0x0be33413, 0xe0668497, 0x356d3323, 0x186599cb, 0xb3c3711f, 0x91cdcf9b, 0x813a4496,
+    0xbc1e1873, 0x4554a537, 0x80e0fc1d, 0x39d3bc34, 0xe071e589, 0x6a9ba055, 0x5116a7f2, 0x611032ad,
+    0x49314e53, 0xcd25c79d, 0x636d0cf4, 0xc8066c1e, 0x14a6107f, 0x523eacf4, 0x659abab7, 0xb4392aea,
+    0x46ebbe11, 0x6a65816d, 0xe7036811, 0xa4b4e4e8, 0xfe27e0a0, 0xe21e5232, 0xb437bba0, 0x1379b753,
+    0x7a10f1ba, 0xc21e84a0, 0x56bc88db, 0x4622f53a, 0x5a349a28, 0xaa88ce6f, 0x465ea979, 0x66104cae,
+    0x0987d937, 0xb1b31a0c, 0x58ebac96, 0x9ff41eef, 0x42b57dbf, 0x960d8a10, 0xf26dbb4e, 0x4fc2cad8,
+    0x4f1c9e15, 0x465ca6c6, 0x24a2fd61, 0xd6d7edb3, 0xddc95cb2, 0xc6756dd2, 0xcda85195, 0x52bb86a2,
+    0xb1d95593, 0x7f85964f, 0x69369e0a, 0x6ccfe63e, 0x41be8bde, 0x19cbd525, 0x33168087, 0xc4e6b500,
+    0x8e495024, 0x0340459b, 0xc51eca4d, 0xa6d8e9a4, 0x1a39451b, 0x3d3d48b5, 0x46985938, 0x9055fd35,
+    0x0200ef1a, 0x47811b39, 0x680b3afd, 0xae962cc7, 0x2fe639f4, 0x316eb724, 0x16668b2e, 0x79f588c7,
+    0x5ab0e1a3, 0x6f2b4d05, 0xecd47b4d, 0xe329fa7f, 0xae7bc8a0, 0x67d29312, 0xd8a89aab, 0xddad67c6,
+    0x447c1e36, 0xb36c0351, 0x9f29e9b4, 0xaeddb10e, 0x376b7b94, 0xa384c3af, 0x6a4dd6ab, 0xab77f3af,
+    0x20d05413, 0x82dfd149, 0x7dd51e7c, 0x310fab8d, 0xdcf2c75e, 0x096decdd, 0xa01ef328, 0xf955647a,
+    0x95572d8c, 0x9303b411, 0x478759f6, 0x2ffe0328, 0x38648cef, 0xb3b7a841, 0xb42c2c85, 0x04facbb2,
+    0x75cc5e05, 0xe4178688, 0x91f410b7, 0x3d30d997, 0x1d5ef8b8, 0x09498a30, 0x06ec019e, 0x16497438,
+    0xf95d4d30, 0xbb3180f8, 0x54256d4a, 0x6a833a3e, 0xb353979e, 0xb2ab7246, 0xc21c7a2a, 0x701423b2,
+    0x8d407ce0, 0x0235635f, 0x3be9acc9, 0x0bf14835, 0x8cda4def, 0x80e56f5c, 0x4ffe0d4b, 0x7490a747,
+    0xfc1407a1, 0x9ca25769, 0x26bca89f, 0xa0e71170, 0xee6624c6, 0xb181deb8, 0x89ba8685, 0x9b78d55b,
+    0xf26ad1e9, 0x9b43a636, 0x63557ea3, 0x7568ad56, 0x7dae29eb, 0x181c08f2, 0x7f09bb5e, 0x704a2617,
+    0xd5117e6f, 0x23ff5009, 0x7c4abaa4, 0x462aabd4, 0x6ca8c956, 0x9e22dee6, 0xe212119c, 0xacf9429a,
+    0xce99cc88, 0x2a9b80b8, 0x5c64c06d, 0x57da4cf8, 0x892a7cef, 0xc2d55ed8, 0xccc3f48f, 0x2deb0af6,
+    0x074b3e24, 0x078383cc, 0x17d1210c, 0x70a0af48, 0xb28f93bc, 0xcdb2b30a, 0xdea41805, 0x4653e45c,
+    0xe4550ede, 0xa92949f0, 0xf2eaa5ad, 0x71004d63, 0x5f9ffa59, 0x9e2bebd6, 0xb93a4ac5, 0xba494905,
+    0xca31d293, 0xba8560da, 0x7edb7f31, 0x70f48898, 0xd65c4006, 0xaa3fe0f5, 0xdedf20cf, 0x956e6c4e,
+    0x182294c5, 0x4f970095, 0xa5366210, 0xd11de931, 0xfe9c21bf, 0x33402da9, 0x4b44ffb5, 0xb021ea86,
+    0x10730094, 0x47259efd, 0x6cc04c43, 0xc715163f, 0xd18d9bef, 0xebb43c64, 0xeaeaecc6, 0x86fee016,
+    0x0676a179, 0xbbc56ed2, 0x3c27fb81, 0x552ab836, 0x3411b4d3, 0x28615675, 0x15308051, 0x94a37eb5,
+    0x80c27ced, 0x5bd2ce0c, 0xe8366ec1, 0x2cdfc92c, 0x4f237f02, 0x9783a714, 0xc8f73110, 0xd7008a28,
+    0x5fc7965a, 0xd9bcf5d4, 0x22e6d0d2, 0x4cb69ed9, 0x05b72566, 0xe8337d39, 0xfcf6ab10, 0x732298e5,
+    0xbad8569a, 0x695fdc4f, 0x7412d983, 0xa0337847, 0x15313c35, 0x80cf5422, 0xf2b1e78e, 0x835ecc9d,
+    0x651627b9, 0xb35155a2, 0x565b0bd2, 0xaf284ac0, 0x8261b867, 0xef92a4d1, 0x428d7651, 0x722e72b4,
+    0xad82f9f6, 0xfe5bec4f, 0x8bf73e64, 0x8958ac45, 0x303e814e, 0xdb630775, 0xe35aa35a, 0x9774e0e3,
+    0x3539aecc, 0x56c308eb, 0x21f39011, 0x3c0b678e, 0x8e43ead8, 0x2dc249d2, 0xd8b7ad16, 0xb57884ea,
+    0x5be6d787, 0x613880a5, 0xf212a7dc, 0x75bb581b, 0x5d87106e, 0x55424b1d, 0x02979ca3, 0x4c3bd9c3,
+    0x30777cd9, 0x665239ef, 0x64aeeb7d, 0x5e6e1d18, 0xfb69448c, 0x04558c58, 0x8c19b32c, 0x6ac07507,
+    0xc9aa1f99, 0x5c23dd36, 0x6c803845, 0xad9ad245, 0x7e72f288, 0x96ffcf70, 0xa0181dc7, 0xd59ea086,
+    0xfe72590e, 0x81f81377, 0x031f94d1, 0xf573c198, 0x7466becb, 0xcd93550a, 0x7dae6bd6, 0x6d8abdc2,
+    0xf41e5453, 0x7ab12322, 0xdf3d2854, 0x09f27fe2, 0x48bfefcb, 0xf08350b3, 0x4139b78e, 0x95df62f2,
+    0xd3f00bc6, 0x4a620f88, 0x3fc113a0, 0x7a198490, 0x12256569, 0x1d961fb8, 0x7b8db603, 0x4b32ac1e,
+    0xf97a24f5, 0x6b7d4911, 0x69e26a26, 0x821752eb, 0xdf37f2e1, 0x9de9def5, 0xec307d7a, 0xfef85d50,
+    0x93c05280, 0x308ed381, 0x84acfb0c, 0x65eb02d2, 0x14157e32, 0x311cede2, 0xfbb6501c, 0x6100a69c,
+    0xdf883cff, 0xc53b4fba, 0x0e990616, 0x3aed22d5, 0x4fe2b4e6, 0xe46351ca, 0x5bab6a58, 0x0b83c100,
+    0xbd91edb6, 0xc4d17869, 0xcfbd300a, 0x4057dec8, 0x6f2f44f0, 0x16760f20, 0x970f24f9, 0x7cab7408,
+    0x4e8409a9, 0x318fb6a3, 0x39b1ff48, 0x552abca5, 0x25b5f8e8, 0x4a17db09, 0xcab21065, 0x68ef1a0a,
+    0xb272b4b9, 0x29cbcd5a, 0xd94aecca, 0x213b62bc, 0xaa6fca14, 0x2b6d90b7, 0x4ff9f27e, 0x011ea749,
+    0x6a93b054, 0x1915e815, 0x9dabb9fc, 0xe49e4582, 0x3eb6fb8e, 0x5dd77563, 0xce1f580a, 0x5d698093,
+    0xbb59de7f, 0xf405f935, 0x2d4144c5, 0x2843d401, 0x83914d08, 0xe785de10, 0x8947096e, 0x1a9f1ddd,
+    0x71daa485, 0x10e85e01, 0xf17351ff, 0x0ab6c5a6, 0x6908f67f, 0x633cc22b, 0x4809a3c3, 0x146c8ef0,
+    0xb267bd8d, 0x21416485, 0xcb7734b4, 0x829977fc, 0xf15f6b46, 0xe399dbed, 0x8d745771, 0x2f9205aa,
+    0x60cfbe3e, 0xff19d5b5, 0xef4ada7e, 0x5b08100e, 0x73692956, 0x00523b86, 0xc992110b, 0x4c90144b,
+    0x7c9b21d1, 0x451f5da2, 0x918d9d86, 0x8ededd54, 0xcc79d38a, 0xb7983f57, 0x2fbd217c, 0x130a4229,
+    0x8460c499, 0x48320165, 0xe4b84823, 0xe8d8134c, 0xd108ad18, 0x4e6b92b4, 0x73b250fd, 0xe9824f69,
+    0xf25e28cd, 0x46053e88, 0xcffff854, 0x95f71b10, 0x64800cf5, 0x2eae77b8, 0x07b0a828, 0x6e414b3b,
+    0xfbcaf3de, 0xd6807ab4, 0x12261f10, 0x2841452d, 0x2ad6316e, 0xb4fab1c7, 0x7c19c7f3, 0x9e614c98,
+    0x4520a0a4, 0x6a708c14, 0x41b57c31, 0x206b2c1d, 0x18a4f19c, 0x4b50b0c6, 0x1af4e931, 0x9f90ed98,
+    0x9a094cae, 0x2b5c2ac1, 0xde58aa00, 0x6dc402e5, 0x516e6577, 0xee6057c6, 0x3af4193f, 0x96e96b4f,
+    0x25fec234, 0x4f422815, 0x132297c0, 0xfad969bc, 0x148b1e0b, 0x7a0ba543, 0xdea32f41, 0xba827c42,
+    0x35102a78, 0x27729a52, 0x099a0f48, 0xcd87192d, 0xda49c4c1, 0xa19138a4, 0x2da86153, 0x02b736d7,
+    0xba5a8897, 0xfe99decd, 0x9597fb4e, 0x1b523d65, 0x69db77b8, 0x08ebd3fb, 0x65ce4a6d, 0x5e52f31b,
+    0x468a4bd5, 0xd24519f1, 0xed8eeead, 0x1de73877, 0xa1c1ca6e, 0xae3a5f8d, 0x4bcc0a10, 0xec70eb45,
+    0xbb7747e9, 0x1e9d6c3c, 0x7f6c31e0, 0xa7caceda, 0xeae070cc, 0x9ccea5d4, 0x24b77ffe, 0x2fdd3b9f,
+    0x26ff96e4, 0x12c43746, 0x60e06426, 0x04d7c5e0, 0xa81285af, 0x88faf2a2, 0x6c81ec6e, 0x5693b1ec,
+    0xb379bb96, 0x77aece51, 0xf8e10e5e, 0x8d69b1e9, 0x1adbaf84, 0x266b69ed, 0x30033a63, 0xb151e56d,
+    0x956573e9, 0x7416193b, 0x048add3c, 0xcac649e5, 0x5f4556aa, 0x568190c3, 0x023eecaa, 0x44cbd09b,
+    0x4e8f5f76, 0x86aa1a31, 0xe55040ea, 0xf4862244, 0xc0c503f4, 0x7754038a, 0x3877eb85, 0xe28f3a89,
+    0x0131792c, 0xeae3580b, 0x5af8acad, 0x5829f520, 0xe4ddc4b8, 0x85cf9bac, 0x381e1fd5, 0xe8a5dfb0,
+    0xf3061150, 0x44ac69f2, 0x979077cb, 0x6040f2bd, 0xebc508d8, 0x91771efb, 0x9ad97997, 0x751a472d,
+    0x90abb22e, 0x65586f6d, 0xba6ee136, 0x96373065, 0xf7b38797, 0xbf43fe0b, 0x1c28a7d5, 0x9704ca5f,
+    0xbfe2cc95, 0xcd8abf5f, 0x43b9fbf0, 0xefc0e864, 0xa7b1420f, 0x9e69b49d, 0x35744579, 0xf78895b0,
+    0x82272451, 0xa689e96a, 0xdc8fe866, 0x33446e25, 0x8a135a98, 0x69204245, 0x2dfa3737, 0xa02fd90a,
+    0x03c0a7c3, 0x3ff15a51, 0xd0a44609, 0x672740d5, 0x7b42b024, 0x46056d4c, 0xc7628ff2, 0x1a1068f4,
+    0xe53b3989, 0xb3ef2b13, 0x84ec6bf1, 0x7d2d0890, 0xfef1c741, 0x5000f12d, 0x69884248, 0xa451d617,
+    0x75c8ede6, 0x6db2ecc5, 0x2ef803c9, 0x021f2634, 0x3bf953dd, 0x82f2e61d, 0x60b2256f, 0x565a5dec,
+    0xfd3c9828, 0xe4e6d10f, 0xa8a2f5c1, 0xb48bf32a, 0x24462acc, 0xc41f684f, 0xc2d29cfc, 0x702017aa,
+    0x55679db5, 0x6d984f39, 0x3a369368, 0x51350657, 0x05e64c00, 0x005d372c, 0x51746530, 0x86169b54,
+    0xdca28c7e, 0xeefad579, 0x294183f8, 0xf315224d, 0x067f20fb, 0xd14ac81b, 0x570b4085, 0x37dba440,
+    0x8b31acac, 0xbc28812a, 0xbd40dc43, 0xc47f93c9, 0x6b420134, 0xe94e61cf, 0x99563945, 0x907d3d18,
+    0x107b96c2, 0x647bc57b, 0x21330c42, 0xa3a3085b, 0x7795ccde, 0x8e4b49ad, 0xc29094e6, 0x09ff2585,
+    0xde301339, 0xa9f37141, 0x0108eeff, 0xd12e4796, 0x622bf59d, 0x3903ac90, 0xe36bd584, 0xa65dc0d4,
+    0xeb2d9d4a, 0xcd614e6e, 0xa1d1ea37, 0x91c0e364, 0xe9818da8, 0x70b8185a, 0x5ce72467, 0xaf640844,
+    0x926c3238, 0x56309ff8, 0x7c31541c, 0x3405b27e, 0xf8ac3936, 0x7409517f, 0x35e5d559, 0x4710172c,
+    0x2412e506, 0x4c39e46d, 0x304559d8, 0x986c2fc8, 0x4f4bf426, 0x6ce40a8f, 0xa8ee8853, 0x7a60eb4c,
+    0x285873a8, 0xdf12131e, 0xe64f4260, 0x0b1f27f7, 0x5d7717a6, 0x919623c7, 0x10d85308, 0x6b07d54e,
+    0x9fd176d4, 0x0d0733b3, 0x71997dcc, 0x8833c9a4, 0x09e5e1ba, 0x83387766, 0xb15ca22f, 0xa9733bbe,
+    0x724f6640, 0x68f70bd2, 0x85b19936, 0x0705e148, 0xfd3af38c, 0x984daf83, 0xda8d5d97, 0x9865664f,
+    0xb67e9073, 0xad337f58, 0x6f1ed6af, 0x0cfb6b16, 0xe7b1d2dd, 0xe2ddedec, 0xe2030527, 0x697faf29,
+    0xdda81ab1, 0x6cd5dda8, 0xd1c3f9e1, 0x848727b7, 0x77a232a2, 0xa6fc1372, 0xe6b20e13, 0x5a3bf375,
+    0x35a2d0af, 0x560f55d4, 0x55320035, 0x8872ccaf, 0xa1bb3478, 0x1c177ff2, 0x0a86fe0c, 0x9a187906,
+    0x6900ae59, 0xbac9d0e4, 0xabd5d97e, 0xf93f7358, 0xd93ed196, 0x57b2c33c, 0x9237aa46, 0x5a606b8a,
+    0x8370c85c, 0x14400dfd, 0x756ff50a, 0x329daf50, 0xcab93e6f, 0xfbe2164b, 0x3b145157, 0x85ce89c8,
+    0x580beaa6, 0xb532f3e8, 0x2843faed, 0x5a0ee7dd, 0x2a7e8e64, 0xcd3d4da3, 0xbfcde452, 0x9b0ecd7b,
+    0x482876f1, 0x89df70e3, 0xd70851f6, 0x72ed5043, 0x6163f333, 0xc11d8800, 0x07b0252e, 0x2fcd7aaf,
+    0x99f4ec98, 0xe9c3a960, 0x265cec7e, 0xf5c6c261, 0x6272bab7, 0xb5c3f346, 0xe1557147, 0x3d622ccb,
+    0x3a4cc8f2, 0xfcefba15, 0xa80addda, 0x8ed91956, 0xf6ec5897, 0x878a68d0, 0x342197fa, 0x841609ae,
+    0xdb98f177, 0x81ef6b88, 0x48831ff2, 0xb8498964, 0xe31442a3, 0xe4c36b5b, 0xd01b0135, 0xffd7fa8b,
+    0x64b0718d, 0x1843d4c7, 0xa81aa743, 0xb8bcfe48, 0xc0a41262, 0x006f8a7a, 0x8c6603f0, 0x691b85e6,
+    0xd480673d, 0x4d378655, 0x5255b764, 0x29ee9299, 0x408943c1, 0x32196bc3, 0x8a5f35b7, 0xb49b0112,
+    0x17f8f2a3, 0xd305d185, 0x8588f48b, 0xb9b23798, 0x12e18cba, 0xa073eb7d, 0x8fcaae9b, 0x289b5a81,
+    0xb8661de5, 0x7094bc5b, 0x0f51c9b0, 0xbf1a6157, 0x57b6713a, 0x13361937, 0x4424540e, 0xf6b7f9d5,
+    0x39aab9ba, 0x75a0d2b6, 0x92b17164, 0xb42fd9f3, 0xbe52f654, 0x438c0d40, 0x0f1a7327, 0x4bd22d99,
+    0x144e1dfd, 0xb425b2fe, 0xe3c62375, 0xb4ce790e, 0x3f8d8a44, 0xb0c92b77, 0x9b811f3c, 0x2d38036f,
+    0x593a938e, 0xaacc6a8f, 0x5a4a732c, 0x050578e8, 0x55a358f9, 0xb6663e4a, 0xc590559d, 0x9f8db2de,
+    0x4fde33f8, 0x2dd8b9fe, 0x07fd9783, 0x63f01eb1, 0x97fe0a4b, 0x0b336869, 0x92735cd0, 0x61620202,
+    0x55cd29b4, 0x0d690709, 0x6d7d5a39, 0x91b439d0, 0x9979aa84, 0xffa0ab4e, 0x50e20622, 0xcc4191ce,
+    0x737dd3ab, 0xdea97f7a, 0xd93e8336, 0xd5aa2aa8, 0x428a6d15, 0x99409d14, 0x0c89432e, 0x4c20ba1c,
+    0x2615f6bc, 0xeadbf44a, 0x873bbf9a, 0xef44e58e, 0x3ed366ff, 0xadc322f8, 0x9c546540, 0xdbac2020,
+    0xa9c62a0f, 0xc17cfcc0, 0x50f69678, 0x28259e9e, 0xa12c320a, 0x2b5131e0, 0x771a796c, 0x2a09e336,
+    0x7b60673e, 0xb7773c3d, 0x22a3d5de, 0xb9255c66, 0x9ae18871, 0xd9287fd6, 0x8a10a2e5, 0x568c3f10,
+    0x6a02f271, 0x88875de3, 0xecccd8f1, 0xdacb9bf2, 0x49456eed, 0xabe3db70, 0x7d5ead29, 0x7531c32b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000006304320991423116673964646416022978208812\
+                          75828327447146687172694467931548343955369782628260078158650252906047844909056 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664,
+    0xd2754039, 0x098a562d, 0xc92a6fef, 0xa30f4c5f, 0x335e042c, 0x455c18b8, 0x3b682a93, 0x8a5e853c,
+    0x00000000,
+    0xb1bec3f5, 0x09213472, 0xe1637cb8, 0x17931769, 0xf3cab86d, 0x94327efe, 0x9e6d50ed, 0x1db23662,
+    0x81633fde, 0x5b3c3f86, 0x37c8b36a, 0x59b66952, 0x540ddb35, 0x3cb59b86, 0xe19251bf, 0x64506d7b,
+    0x9cee23c7, 0x91f62a16, 0x435e525b, 0xf4ee41f8, 0x73db3ca5, 0xee29d5ca, 0x79256dc4, 0xc9d8c499,
+    0x992e8dd1, 0x53d37eaa, 0x35942121, 0x0738e58b, 0x2ef92a3a, 0x2e5a40f4, 0x4fc4e329, 0x100db6f3,
+    0x42a201da, 0x0ba82764, 0x51cff995, 0x86127db5, 0x69834d08, 0xf462d3d1, 0x35f4e57a, 0xa4172715,
+    0xc5296690, 0xca9b284d, 0xc648a1d1, 0xd70271e5, 0xd1071964, 0xc76a1638, 0x193e399d, 0x4f288a42,
+    0xf7115d0b, 0x7ce90d4e, 0x6de2538d, 0x5de9ab4b, 0xa9a118df, 0x93c0c799, 0x8e9f7421, 0x261afc43,
+    0xe0aaa1a6, 0xc904b558, 0xff4376c9, 0x467528b8, 0x6d7fd0e0, 0x2c778f78, 0x3a628e23, 0xa1293d65,
+    0x2451c22e, 0xaeb28ca6, 0x33ef1e13, 0x0dbbb123, 0xee0d48bc, 0x3fb95c13, 0xaa738f47, 0xa34f8938,
+    0xbf557bd8, 0xa4d0448a, 0xa376817b, 0x1466a0c4, 0xaac94991, 0x2e849b2a, 0xbd4a62be, 0x43b2d750,
+    0x5533b6a0, 0x2e3ccaba, 0xd7f0d443, 0x42473c38, 0x61a2a584, 0x6b392d2a, 0xa95ac336, 0x7b84dd08,
+    0x45cbd95c, 0x221c6458, 0x3add5f46, 0x56447992, 0x9bcc2f5a, 0x7e109fd7, 0xc5b3d45f, 0x9ff80502,
+    0x4807fc26, 0x2378f17c, 0xad89316f, 0x365f45f3, 0x0eae2832, 0x97b04aa9, 0xd3066977, 0x8f41e950,
+    0x473cdae7, 0xceb0214b, 0x22250afe, 0x9799e744, 0xe52b3967, 0x601b3ded, 0x76873001, 0xcf9402c7,
+    0x18e1dbbf, 0x71420aeb, 0xfa4c0895, 0x32cac2a9, 0x58303206, 0x7ceda377, 0xcb1bfa9a, 0x4edf2083,
+    0x21ae3752, 0xa6a70e65, 0xe5a8cc91, 0x992e85cd, 0xa6d24ca9, 0xd45a6ba8, 0x15b0e65e, 0x3038e7f9,
+    0x6f2dcf4e, 0x0d6af7be, 0xc2f726e5, 0xaa195104, 0x934ef3f6, 0x1ea30b2f, 0x35fe1c88, 0xc6575adf,
+    0x17902515, 0x024a4678, 0x5f34509a, 0xaa57a82c, 0x93a3d2d4, 0xebee19a4, 0x901df699, 0x9d2520d0,
+    0xc9ee5214, 0xbeed4312, 0x99be299e, 0xeaf454da, 0x77afad16, 0xa0e2153a, 0xe8c02713, 0x5937b83f,
+    0xce63f326, 0x37649521, 0xaac01666, 0x518b4e11, 0x7378a703, 0x94bc5266, 0xd27791fd, 0x1a546869,
+    0xbf358d44, 0x6c8be983, 0x3a0f1604, 0xb6faed71, 0xd92afb7d, 0xb86f5025, 0xfe825854, 0x63c0183e,
+    0x70f77bcd, 0xefb66146, 0xf99e6c24, 0x2c446045, 0x2dff4eec, 0xc1e61ae5, 0x44db6060, 0xea514eea,
+    0x874174b5, 0x616d558f, 0x4e74cb89, 0x9a24f3fb, 0xfb469ce0, 0xdbfc0e0a, 0x14367e6f, 0xee0d98d1,
+    0xf911caf9, 0x4bfda7a1, 0x635d6e22, 0xc4a22baf, 0xde5c47ab, 0xe6930509, 0xdd6b2767, 0xb06b23aa,
+    0xc8b2640d, 0x8fc08eea, 0xb906ee48, 0x8c2399a4, 0xd76b57e1, 0x29f7c5c5, 0xf8538413, 0xcf368887,
+    0xfaf3763c, 0xd2abfeab, 0x28b05b62, 0xda35a5e4, 0xe86a5c91, 0x2811da0e, 0xcb44769e, 0x2cffb3ca,
+    0xb26b35df, 0x087e203b, 0x14f2188d, 0xdff57245, 0x01eaf339, 0x3c22c00b, 0xdb3af2f0, 0x48ba5795,
+    0x9fbb3a9b, 0x5c41dabf, 0x072eeb6d, 0x71271ceb, 0xb3425b76, 0x7e844fa0, 0xcc4ecb68, 0x953adcc9,
+    0xc5bea5e0, 0xd028aa88, 0x78f36967, 0xf31677cd, 0xaa110997, 0x9365a4fb, 0xd2f2043b, 0x83fc7dc9,
+    0x116b55bd, 0x0bf1c331, 0x56bf6014, 0x51a29be8, 0x54826a85, 0x17c7f121, 0x92ea190b, 0xe1e67b73,
+    0xc28ef513, 0x8b981a48, 0x650464bb, 0x1b52abe9, 0xd3eed71f, 0x3816e33f, 0xff7e15b1, 0xd0f17d2a,
+    0x2ddc144b, 0x3e5e0305, 0xeb20662a, 0xca10829f, 0xd9e34db3, 0xe6a3c77c, 0xd4fbcec0, 0x8695727e,
+    0x075436a2, 0x1bde5695, 0x5153d6d4, 0x264cc149, 0xb1cb87b3, 0x33789e8f, 0x7114a705, 0xa3efd403,
+    0xb50e0330, 0xb9b257ee, 0x1fc2cf16, 0x0160242f, 0xf78dee8c, 0x454c5878, 0x3284c095, 0xf561be6b,
+    0x8cdf4ac7, 0x27307ea8, 0x8a48425d, 0xa5b78bc4, 0x6cfdede4, 0x0815c249, 0x8f932f9a, 0x295fb4c7,
+    0x46d25b43, 0x749ecc7e, 0xc0f8e9ab, 0x6bbfa9e8, 0xceca10ae, 0xddf84984, 0xcd9fd08d, 0x635a26c1,
+    0xb8d5aa4c, 0xb8c9f903, 0x9d6da0d8, 0x27600656, 0x9ba42829, 0x2a2037e3, 0x504fe436, 0x576aa12a,
+    0x2c9c7dba, 0xb053bb4b, 0x37a98f56, 0x684cd460, 0xab9b61de, 0x4ed6ba1e, 0x16143c6b, 0x1791f103,
+    0x70503a2d, 0x990f741c, 0x1d01cb8e, 0xe34fc7d9, 0x8f94c11e, 0xa87474d3, 0xaa30dafc, 0x98ed34eb,
+    0x91b8422f, 0xd2ece67e, 0x37910f6a, 0xbcbaf0cd, 0x04ff4238, 0xa593c819, 0xd6e59207, 0x52a095f3,
+    0x4c2efc1a, 0x089bf757, 0x4ac8dbc8, 0xa5dc482e, 0x5bc81ae9, 0xf49da815, 0x15dc0c58, 0xd838b617,
+    0x8b0ceab1, 0x949ac4e0, 0x1648cf1a, 0x623b00c9, 0xd3b7de15, 0x42d9a24f, 0x75382c78, 0x84fa502d,
+    0x7e70aa99, 0x05c201fa, 0x5f8b3b49, 0xd39ca115, 0xfb7faae9, 0xeb16892b, 0x6552160c, 0x96a9d6fb,
+    0x447df131, 0xf3a086f1, 0x217ca807, 0xd7f44bc9, 0x61130eb4, 0x7ef1dc2d, 0x9f932b0a, 0x1be0ade2,
+    0xa20d73c4, 0x50bb0825, 0xaef02d8a, 0xfc02e8c0, 0xcf82bc11, 0x354ca4b2, 0x9bc03ee9, 0xcd2b617d,
+    0x81f49bdb, 0x5a08a015, 0xce6a72ed, 0x848f13ef, 0xea0c6413, 0xd67a5b67, 0xaefca77a, 0x3463a903,
+    0x47c28257, 0xb38e0741, 0x0d941e25, 0x0e161d93, 0x9fa3121c, 0x4d454764, 0x95d1a226, 0x3e161ca9,
+    0xe39c3392, 0x91aac2d3, 0x07f4d30a, 0x5f869aa4, 0x8fc007b3, 0xc7c93142, 0xffd0f47e, 0xeebe4b9a,
+    0x566137f3, 0xbe57bf0c, 0xfb9093df, 0xd001dfd4, 0xdd99c61c, 0x74f2fc19, 0x574c9b30, 0x804ffda7,
+    0x554aad8d, 0x23360299, 0x4b1e878d, 0x13f85f7f, 0x4f4081fd, 0xb5a10f00, 0xb2913f36, 0x02fa0175,
+    0xbb2e1a28, 0x340cc70a, 0xface956d, 0x128455f2, 0xf3cf62e4, 0xa89932a5, 0x184cd021, 0xc101b586,
+    0x4ac4077c, 0x63453632, 0x44b6003f, 0xb753e301, 0x213e94fb, 0xbd7538e3, 0x1d380428, 0x2a9dc36d,
+    0x6e622b8e, 0x5168736e, 0xfe84644f, 0x2647cda2, 0xe5bc368d, 0x89af39ab, 0x24f2e4d9, 0x90e2af97,
+    0xaa3a23ee, 0xf0431ab5, 0x33bb4e7b, 0x958dd4f9, 0x9755bb29, 0x2e976d6a, 0x5bedd191, 0x460486df,
+    0x5c3fabc4, 0x023d8aaa, 0xf3474410, 0x2b99b6db, 0xacbcdc82, 0xc6859d4a, 0x71d92392, 0x363129d0,
+    0xebdfc0ca, 0x860e5854, 0x70e84d17, 0xafd1fb4f, 0x55f41900, 0xd99beb98, 0x381b9122, 0x9fe6a845,
+    0x99dd319c, 0x457a1f41, 0x4db614f8, 0xdca19962, 0xdacbe5df, 0x9081a7cc, 0xe3aec1e1, 0xed260894,
+    0xe0cedbe2, 0x31eb6f9d, 0x7da1a4da, 0xe3974c31, 0x5e98f455, 0xf65b773c, 0xc3c24e48, 0x72625c28,
+    0xcd420b6e, 0x314aaead, 0x3ea14c9f, 0xc8729ee0, 0xbb4ccc6a, 0x9629a4c8, 0x4b8a8374, 0x064a3006,
+    0xe257c848, 0xa23ed1ed, 0x2b13d255, 0x43ddb484, 0x4951b067, 0x04491115, 0x61b6f504, 0x00319a95,
+    0xbc6a738b, 0x89c6df70, 0x0383b6b1, 0x0bd7cb41, 0xe78facf1, 0xbd6f2cf7, 0xce254d41, 0xdfb1ec3d,
+    0x20b26df6, 0x977e8c2b, 0xbdda29f0, 0xf641fad7, 0xb9ef0025, 0xae854bf8, 0x20687da8, 0xb69bd8b8,
+    0xc42c2f96, 0xcdae7635, 0x37eb0633, 0x030aab0b, 0x104d9413, 0x73e3d443, 0x5f64f021, 0x84bb0ca6,
+    0x890fb990, 0x97e31071, 0xceb38371, 0xb55a5cde, 0x798e07bc, 0x0e9d6513, 0x295b345d, 0x859a1051,
+    0x87fc5a6d, 0x725bcc08, 0xb7bd0700, 0x5378438d, 0x780d9c1d, 0xcab5559a, 0x870ccafa, 0x74cbb0f0,
+    0x8e0bf241, 0xe6a9622c, 0xa3e8ca0c, 0xfd08f0ec, 0x04192ac7, 0x2049b924, 0xd1625fb5, 0xeb66b5bc,
+    0x760c0263, 0x037d1e74, 0x023c2274, 0x32615786, 0x337b74b2, 0xe167ac6f, 0x5c31f72f, 0x975101a4,
+    0xd4b80560, 0x56de64a8, 0xdff795f6, 0x69f861b6, 0x43d0ce5f, 0xbee65b73, 0x560de408, 0x2224c26d,
+    0xc9946189, 0xfa94bca2, 0x22360fab, 0x3a17292b, 0xd19a68ad, 0x0f896c4e, 0x56b47987, 0x10e72f04,
+    0xdd47adce, 0x12d29378, 0xb28d4618, 0xf67ba771, 0x31a2cb34, 0x6adca743, 0x516eeb86, 0x0f30b9bd,
+    0xf58bf6d2, 0x14bdf045, 0x581c3834, 0x7a7ec1be, 0xa7195848, 0x4b95c091, 0xe19938f5, 0x81d92657,
+    0x0fc15cbd, 0xec98f3e3, 0xba86a80d, 0x19a7f32a, 0x927b5b9d, 0x1473e6b5, 0x676431d9, 0xc2307465,
+    0x73dee3a5, 0xe7bc957f, 0x63eaaa90, 0xbf803da4, 0xb9a526c8, 0x97c54501, 0x7b475de0, 0x4c00d81c,
+    0xf63d7d95, 0x35f42044, 0x3538fa85, 0xc521d7f9, 0x45f3f07f, 0xbe04c6d1, 0x5223b804, 0x4438ad0e,
+    0x315fa3bc, 0x2c375799, 0x0f56a07e, 0x45254b4d, 0x95ff6515, 0x8b36bf4b, 0x22574e4c, 0x42049e45,
+    0xbb68ffd8, 0x6dd7df49, 0x4a755f09, 0xc3f29740, 0xb55ce00a, 0xf494a2ec, 0xaeca57c4, 0x26b1bb28,
+    0x6dd21bdc, 0x45d00118, 0xc7660cca, 0xea4f399a, 0xf5ab2ad5, 0x4f6c262e, 0x8fa2eab1, 0x7d7e7213,
+    0x58bb3faa, 0xe340a1ff, 0xce748b9f, 0x1343b58d, 0x54bf1169, 0xf69e7e91, 0x3db83853, 0x426f3314,
+    0x9cb302b7, 0x9c65a206, 0x00d80e84, 0x43598411, 0x5e139bd2, 0xee71ae89, 0xf1401e36, 0xe677f1ba,
+    0x0ca8f41e, 0x81166e44, 0x15eedd6d, 0x12367b71, 0xb9ac5616, 0xee194111, 0x9f36190a, 0x6c70cc1d,
+    0x94a8d0e2, 0x1f80a728, 0xfe9c2df4, 0xe4e99453, 0xfb04a3e0, 0x09a4b790, 0xd62c0bb6, 0x98498f17,
+    0x4f99ce62, 0xdf68a34f, 0x7453d2e0, 0xea4ab248, 0xca997620, 0x9beb1d93, 0x6a01dbb7, 0xf493d917,
+    0x379da582, 0x36627aef, 0x4b1496fa, 0x55a09c7d, 0x174c2c7c, 0x779b27d4, 0x3271bffd, 0x56c060ae,
+    0xf323971f, 0x5daf21b2, 0xfbc676ba, 0x59b50f0d, 0x791191da, 0x7c09cae4, 0x8477cd3b, 0x36615ede,
+    0x314ecf75, 0xcf102f50, 0x340ecc28, 0xfcfadfab, 0x76b05859, 0xb869dd8f, 0x957bf2b5, 0xb08e1178,
+    0x25de3aa9, 0xd568df70, 0xcb9a4741, 0xd1459d1c, 0x5b6794f0, 0xd511101e, 0xd17379fb, 0x2e82667b,
+    0xec95f243, 0xd513a367, 0x3f18031c, 0xdcfd815d, 0x99c2c24d, 0xdd392457, 0xb533d34e, 0x81746e93,
+    0x9b4dbc43, 0xc325d8db, 0xc7dcd4c0, 0xc480ad03, 0x9ea5a831, 0xff2b84bf, 0x1f920534, 0xa75806a2,
+    0xa26a90cb, 0x3b6ca7d9, 0xb535ff70, 0xe996b116, 0x4bff1014, 0x51a9bc33, 0x0392fe89, 0xcf0b46c1,
+    0x7feb92ea, 0xcd01d59d, 0x95e247b0, 0xad3bf01b, 0x6b2f7dcc, 0xb2bed20d, 0x4bc166de, 0xff61e02f,
+    0x65044712, 0x322e2b21, 0xf954eb9e, 0xa9ca5c39, 0x9548e352, 0x6ce740b9, 0xff4c322a, 0xc212e8a4,
+    0xbd856901, 0xaf4171df, 0x9e2ce4b1, 0x8ca2c1f7, 0xeaec4bba, 0x7de0f1ad, 0x0691b1da, 0xc899a4aa,
+    0x9074eb94, 0x60d76a33, 0x60d82089, 0x85ca6be2, 0x480a658c, 0x720cb5ca, 0x70b1ccf6, 0x27c676c1,
+    0xf93eafe1, 0x9f461d3b, 0xedaacb82, 0x3af84ef8, 0xfe4e8025, 0x4407a889, 0xac3a890e, 0x754c9cab,
+    0xbd663e8b, 0xcbb9ab3a, 0xf173c3d8, 0x9cff460d, 0x454af4ae, 0x82aee46c, 0x38e13cee, 0xe0fd59f4,
+    0xd3016854, 0xdcb30649, 0x8e55ee0f, 0xf303871b, 0xe9135f1c, 0x44aa106c, 0xc2714d98, 0xb9a837be,
+    0x3f0d44a5, 0xf42f25c0, 0xe101c09a, 0x58102aa6, 0xc0b7bf0d, 0x4158fd30, 0x5b7d296f, 0x8e29a6a2,
+    0xc9455871, 0x45b6e101, 0x38037512, 0x00b778e9, 0xa8771ae0, 0x751bdf57, 0x0ef1b728, 0x36c9242f,
+    0x082e600c, 0x22a410f4, 0x0b0dab78, 0x6dd6a38e, 0xf9d5ffa4, 0x886a6f2a, 0x56140556, 0x0d72a258,
+    0x1f11181b, 0x0edfd21f, 0x06894d88, 0xcdcdb6a1, 0xb9d2d9aa, 0xc4a2ee37, 0x523c7d67, 0x1c58047c,
+    0xd5746a8b, 0xba142eef, 0xd9f63def, 0x8cbca402, 0x75780778, 0x439dab05, 0x9f27b0d4, 0x13b9167a,
+    0xeb636656, 0xc8d54583, 0xa09f13bc, 0xa1b1fbf7, 0xe678ff98, 0xa4e2811b, 0xfb8b932a, 0xd5294197,
+    0x0c795acd, 0x2b5b3772, 0xefa309e6, 0xf7c62894, 0xceafabfc, 0xe6e5aea0, 0x26023b46, 0x61545fe0,
+    0x0ce03a37, 0x112d5705, 0x10219398, 0x3e7190a3, 0x0818e041, 0xd715a27c, 0x543d96e3, 0x392969ce,
+    0xffb92096, 0x983cc01f, 0x434992c6, 0x212e5f23, 0xbee7dc7d, 0x1717c297, 0x2dc90d2e, 0xeae873f2,
+    0x2179ddda, 0x0b40a956, 0xca4672e0, 0xc0597508, 0x31b98ca5, 0xe7332d19, 0xe0dc84ea, 0xf7ad0adc,
+    0x427ac834, 0xb86c4cbb, 0xe91659a8, 0x969a874c, 0xaaa85042, 0x24f2a47d, 0x3dc1d04b, 0xb9a8e44d,
+    0x5d141216, 0x39e03887, 0x526bd78a, 0x1aa3a031, 0xc1eedaf4, 0xa525f224, 0xbb556372, 0x9f03b64e,
+    0x9b1053f7, 0x51088def, 0xda4f7b09, 0x8efd0eb1, 0xc79a91f2, 0xf7871ef4, 0xf32f6e5a, 0x2ab3a164,
+    0xd8027aca, 0xa4249b39, 0x6efb732c, 0x02f91f17, 0x3ba8765c, 0x48720bc7, 0xd26a28bf, 0x2bbab3ed,
+    0xf99fb5d2, 0x3e3ee7b2, 0x17c735c3, 0x9bf5c08e, 0x0b0085f8, 0x8ab329c2, 0x2136fa46, 0x6162bc02,
+    0x9c3dc6ec, 0xb0eaa6f4, 0xaa1df696, 0x7e4f1d80, 0x516d3b9b, 0x519b4244, 0x05acbb87, 0xf93d20ce,
+    0x6614e9e7, 0x365ed121, 0x27eca244, 0xc2dc0c0b, 0x64c01e0e, 0x9d7618a3, 0xb9ae5d11, 0x4f7a0657,
+    0xb55d7f85, 0x0726f07e, 0x8a9973c4, 0x4c2a636c, 0xf53d5f66, 0xfdb9cf84, 0x90428bb4, 0x2a390a49,
+    0xea671987, 0xec3c66db, 0x0b7da60a, 0x39f5310c, 0xfbd2ca08, 0xfbd48202, 0x5dea525c, 0x0bacc311,
+    0x86abc80f, 0xe6cd4188, 0x198375b2, 0xd28f569b, 0x8644f21d, 0x7ceb841c, 0xfc8d4bdc, 0x87a56e39,
+    0xa180b655, 0xdd3c27c1, 0x8cff281c, 0xcc4590a3, 0xc6e92a3c, 0x1be8c633, 0xe41c8468, 0x37c37c83,
+    0xa0cca3e6, 0x49c885f3, 0x257b9c22, 0xf4853109, 0x7a92bb9e, 0x028054e8, 0x7715dc30, 0xa9cb404d,
+    0x872d73ee, 0x4b7ee633, 0x3d3a6274, 0x5a4cf776, 0x34211930, 0xa974c1d0, 0x351acbaa, 0x47edb5a5,
+    0xd7fb92d5, 0xaa7dd423, 0xae90302b, 0xc320121a, 0x0a149bb4, 0xc26d4a06, 0xf34f7e59, 0x14e552c2,
+    0xc2c761ca, 0x3474f8c0, 0xa3b2c96a, 0x684f9d81, 0x969db33e, 0x283e4602, 0x1bad3bba, 0x5f08c27f,
+    0x08ffd16e, 0xde5ccd77, 0xced15562, 0xd93899de, 0xef0ff199, 0x94ea97e5, 0x7d9f2636, 0x46d7351c,
+    0x94818d29, 0xb39612f9, 0xc5824e27, 0x06105c85, 0x3578a33d, 0x7e71ac63, 0xbde8d4a3, 0x288ed0b3,
+    0x31f2e942, 0x7adaaa6b, 0x0ffcc13c, 0x4c5d9f65, 0x6f6c170a, 0x9ba5c3fe, 0x6aa53d63, 0xfeaf1c8b,
+    0x81fd24e9, 0x37c29362, 0x88365e5b, 0x2d1d5b46, 0xb3a1649f, 0x8574fa98, 0x282bf191, 0x2401e063,
+    0x6f1c7533, 0x595a0e26, 0xa95024ff, 0x1580cf79, 0xa1a4ea45, 0xdad6261d, 0x75403c1f, 0x8a303f7b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000003152160495711558336982323208011489104406\
+                          37914163723573343586347233965774171977684891314130039079325126453023922454528 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32,
+    0x693aa01c, 0x84c52b16, 0xe49537f7, 0xd187a62f, 0x99af0216, 0x22ae0c5c, 0x1db41549, 0xc52f429d,
+    0x00000000,
+    0xd5505361, 0xd7a0f590, 0x2cbccf30, 0x358ad3db, 0x7b373cc1, 0x2a4103cd, 0x90af29b7, 0x14f977cb,
+    0x62f1ee38, 0x75733031, 0xbffa1af9, 0x4238f179, 0xe0d11468, 0x048146c5, 0x9a86eb99, 0x30e32a98,
+    0x681fef68, 0x3670dc0c, 0x5583fc6a, 0x83ba87ba, 0x5ec700ca, 0x50927067, 0x3a426164, 0x71830a32,
+    0x5fe4c838, 0x4bc299ae, 0x89be750e, 0xa493184d, 0xc905f396, 0xd63af83d, 0xa1b96972, 0xe06c8d72,
+    0xeb9738a3, 0xf2eff229, 0xb869310f, 0x2846811c, 0x6da5d8cc, 0x6ebb6881, 0x73003125, 0x418b3af7,
+    0x18bd491c, 0x1b2c2d52, 0x9e8de98f, 0x855d358e, 0x827cb6e8, 0xc9e7cb6e, 0x9a2f1954, 0x7b309ce0,
+    0x0d268c1c, 0xdeb42f6b, 0x0f64653d, 0xae4cdd56, 0x948dfefc, 0x00249753, 0x1b40d3fc, 0x64cf78a7,
+    0x532cf142, 0x2dbdf990, 0x0417b7f5, 0x35dbb4f7, 0xf4e05c26, 0xf76b57dc, 0x345f9969, 0x5f411024,
+    0x3d366176, 0xbfccffef, 0x6d86fc43, 0xccfc34d7, 0x8bd75512, 0xb7a31ebc, 0xa8bcc416, 0x7913a13d,
+    0x0f3e6757, 0xdc487f47, 0x00a33f06, 0x137e7052, 0x72ff4dd9, 0x6a75d10f, 0x6093d7d6, 0xc1206800,
+    0x07382020, 0xc8bb2037, 0x8ccb9012, 0xd872f902, 0x73a3e145, 0xc9f5f1bd, 0x471ecd35, 0xaba2ebf9,
+    0x5fabdf7d, 0x2a9fd2b0, 0x3478298d, 0x5b1ccf39, 0xcda6520c, 0x7fd6a34c, 0xd05c21b9, 0xbb50b918,
+    0xcca8b2d9, 0x959fa728, 0x57be6d3e, 0xb24f2992, 0x9fe99234, 0xe997c4d1, 0x109ea58f, 0xa61545ba,
+    0xcf49e4c1, 0x44267a4b, 0xd993d272, 0x802fff06, 0xbcf4a217, 0x68123806, 0x1e75559c, 0x1048c8b4,
+    0x29211405, 0x42b5abbb, 0xc72f34eb, 0x6e11a590, 0xabffa10c, 0x49b74bbd, 0x54b14b92, 0x6b04b8b6,
+    0x1e3c6050, 0xc569377d, 0x7bdab67a, 0xf7358777, 0xaf634106, 0xdaf0c9db, 0x09066ac3, 0x45aec320,
+    0xc10e2bae, 0x9796df78, 0x1f09732c, 0x2bd03f1c, 0x9cb8518a, 0xc6e9c9d0, 0x99da2569, 0xbb5453dd,
+    0x2033a6d1, 0x8a08435a, 0x869aa844, 0x1bfa061b, 0xc9ed3a26, 0x128b0608, 0x92490b33, 0x473f2829,
+    0x3a5a2ff0, 0x7d2d1909, 0x672274ba, 0xb1ef2f3e, 0x4decbe76, 0xdafe6b55, 0x7db7047f, 0x5d6e02bb,
+    0x83140c00, 0xe8c074fb, 0x9d2b77db, 0x70dc19bf, 0xcb2bb98d, 0xa19d7972, 0x340aea10, 0x9f32d8ff,
+    0x10239c97, 0x47c1e35b, 0x529967d2, 0x8ad8ac29, 0x7eae0002, 0xeebd457b, 0x2b1dde07, 0x221fce3c,
+    0x547685bf, 0xc984528e, 0x6db954b9, 0xc9f10c35, 0x25838ee6, 0x9ec1077c, 0x78e610e9, 0x94864e03,
+    0xbaa21972, 0xa7dee5d4, 0x6f5380a1, 0xe77cb169, 0xc9cde523, 0x15f97a44, 0xdf9951e1, 0x9f229fc5,
+    0x519e8ae2, 0x197d4299, 0xb25dbd57, 0xcba15258, 0x42160798, 0x3449d9d5, 0x26e88507, 0xf50369c9,
+    0xb2e00d6c, 0x77b1e5b1, 0xdc043104, 0xb5455283, 0xdffecec4, 0xb0288b3b, 0xe2e9f514, 0x3b0cd827,
+    0xc1ea1efb, 0x136b9e75, 0x8191aaba, 0x23ec7042, 0xb58fe009, 0xaf9ece55, 0x5920f777, 0x8c388d6f,
+    0xacaa2a00, 0x8ac32a65, 0x74ed7012, 0x6e74cc9f, 0x60859e63, 0x012c6c32, 0x1b1be8cc, 0x376e9f8b,
+    0xb7684e6d, 0x567c61ed, 0xd611fd8a, 0x78e6f54b, 0x7c68e208, 0x53fc7a54, 0x4dd8bb86, 0x26f92945,
+    0xc9c00a4a, 0xd744e0d6, 0x34562d1b, 0xc0497292, 0x756011a3, 0x4c71fd3e, 0x3235f150, 0x8511f0d3,
+    0x91c07238, 0x64239f4f, 0xed3fb967, 0x9a68e523, 0xf7754b98, 0x1e96f8b7, 0xa406c379, 0xbb87633b,
+    0x4e18eb7d, 0xde0cfe16, 0x99a7237b, 0xba12b546, 0x06a02808, 0xf0e0d390, 0x542a4ff6, 0xb4debba8,
+    0xa1caaa19, 0x8127acf0, 0x4fe94ddc, 0x7c81f6a2, 0x2b285a4c, 0x8f55173c, 0x1f017b3c, 0x2c7851c2,
+    0x9ae44952, 0x34a06715, 0x88c8087c, 0x593ae1cf, 0x36047db9, 0x5547ac60, 0x75c03487, 0x00ead2ec,
+    0xbfb86898, 0x1d24c799, 0xc627ffe6, 0x270c6491, 0x73b04734, 0x4bf1c558, 0xca90054d, 0x7616618d,
+    0x7d844fe2, 0xe07dca19, 0xd65ebdc0, 0xd7fb35e9, 0x8da853e7, 0x4fe9e83f, 0xf75d9b92, 0xaebd6974,
+    0xb353edd0, 0x79b4d8d3, 0x09c25bbd, 0x335522cb, 0x350f384b, 0x14a5f13e, 0x02988b87, 0xc9900b6e,
+    0x90e19beb, 0x80532ada, 0xe7ac6d3e, 0xc53ec859, 0xd4507e52, 0x6882b4c0, 0x2c7f0e88, 0x1f3b053c,
+    0x46391a5d, 0x17b12e27, 0xb27a5869, 0x6ee425cd, 0x898abd25, 0xb563766e, 0x24978242, 0x5ee11aff,
+    0xdec1162f, 0x3e70bbb0, 0xd3ee7643, 0x06d3eb84, 0xc946bcec, 0xdbd58042, 0x903cb9dc, 0xf6ff5203,
+    0xe01e3be1, 0x10630e92, 0x34b7922a, 0x28b5e382, 0x3f791658, 0xdb196ddc, 0xf68ff96c, 0x177cc5d6,
+    0x74901af4, 0x846e5a88, 0x8fd5ad05, 0xaaafb9b3, 0x19112e79, 0xc48345a5, 0x4cf42364, 0x5972c075,
+    0x6e75a2e0, 0xc036f8fd, 0xeec62d69, 0xa1b38c25, 0x35d35be1, 0xe78cc589, 0xe9831528, 0x6d194c22,
+    0x2005f710, 0xd4b00770, 0x6d8f5e87, 0x11fee721, 0x33eea22b, 0xed0812a0, 0x7e64b794, 0x4c0cef40,
+    0x3a094211, 0x262e993b, 0x125ef250, 0x81caef94, 0x7309d505, 0x2a969ef8, 0xbd730a0f, 0xcf86d6a2,
+    0x426c5916, 0xf28bbdd9, 0x2a76a05a, 0x546a3945, 0x07ed4a68, 0x8f421cff, 0x66747d67, 0xe65ca3d9,
+    0x5ad4a1e9, 0xf8aada43, 0x25d27095, 0x35890698, 0x7a05b7c2, 0xfdfd4410, 0xd128cfbf, 0xd8add657,
+    0x640c792c, 0x86bb7976, 0xa6e31463, 0x67583721, 0x6e70ea72, 0xf6202cb8, 0x20a3eadf, 0x2f53dc08,
+    0x801b9cd3, 0x89351882, 0xfdfdc4bc, 0xd9b1b65b, 0x4b3fa2a5, 0x52735856, 0x735a1b59, 0xcf51217f,
+    0x4c0b1fc3, 0xb7348078, 0x913c3e61, 0x648a9563, 0x86063b79, 0xd0e7c1a8, 0x3cb71bf5, 0x3c508eeb,
+    0x3556259c, 0xe16feff1, 0x2d7c668b, 0x2af18f9e, 0x9ef8b27d, 0x54bc6d90, 0x0ad98823, 0x78425196,
+    0x8baee223, 0x562be7e8, 0x434bdb93, 0x7f9ba5fe, 0x0eb56070, 0x1ac97363, 0x5e633a66, 0x1cd27cb1,
+    0x03376f05, 0x1b7bcef1, 0x03ebab80, 0x1379d466, 0x63b445b3, 0x362d15e0, 0x3c4272bb, 0x22c7bfb0,
+    0x99d87bda, 0x9f356f72, 0xf82423b9, 0xbb3f4ddd, 0xe0b478ba, 0x2e125e92, 0xafbc0b2c, 0x25dd2e78,
+    0xb20747f7, 0x1ec828a3, 0x3f95e64a, 0x7dfe299a, 0xa2080f79, 0x5eaec97a, 0x11d61dae, 0x2e0aed1a,
+    0x7d734a75, 0x4f59b5bc, 0xb3912630, 0xb49316c2, 0x0e72dcfa, 0x74c7ee6f, 0x33e16fc1, 0x8082f01b,
+    0xc41c5d6e, 0xd590eae8, 0x27e44d1c, 0x8f508ef8, 0x6296a3c0, 0x422febbd, 0x8c9d9edd, 0xc7a0fa79,
+    0x3609a83a, 0x9763aa4a, 0x749dd1e9, 0x958fb48c, 0xaff7508c, 0xe519cf0a, 0x8a307a0b, 0x7d92ddd3,
+    0x4213aabe, 0xd621e1f7, 0x91e0042a, 0xf380d22d, 0x192f1963, 0xfc70fc73, 0xe4d5b3bf, 0x3fc71f1e,
+    0xde4f33e2, 0x732f439f, 0xff38a2ca, 0x4f3256db, 0x2f3bcc29, 0x97bdc42f, 0x1dfb3134, 0x48d94e1e,
+    0x56121487, 0x22977fd1, 0x239f9190, 0xa1538afb, 0x3ffc7a6e, 0x9b3dff46, 0x77580464, 0xd3486772,
+    0xfd1839cf, 0xbf2f4b5f, 0x205a5bc3, 0xf624999b, 0xd1fc9489, 0x279e9f15, 0x5ab41f64, 0x029e62e8,
+    0x61af8950, 0x4059a1f6, 0x1f01454d, 0xbfa4acef, 0x1b590c06, 0x4926052f, 0x2ffa7578, 0x011fb26a,
+    0x4f2edd01, 0x7b443bf8, 0x4eb41461, 0xfb69c1d9, 0xfc7c5678, 0x3a2b8081, 0xff93b0e9, 0x588b09a7,
+    0x9ee8c203, 0x3156e417, 0xc1bf1b2e, 0x3cea4e37, 0x0a61a148, 0x9eda2282, 0xf39a582b, 0x1054267d,
+    0x759e4a8e, 0x2b819080, 0x7ea33cf4, 0x33c0a9f1, 0xe3388aec, 0x84d8308d, 0x1ea9cdd7, 0x3167ccc5,
+    0x5f5e66cd, 0x784b89a5, 0xb93fe9f7, 0xda1c3bcd, 0xf2a6f76b, 0x5c344811, 0x854c3e18, 0x2aa6dcfe,
+    0xd6830ca5, 0x2184dae3, 0x15cfe726, 0xb01ae6a5, 0x172dbf6c, 0x8871ff93, 0x18abfcab, 0x15b9c440,
+    0x30ca8a59, 0xce7fd7a6, 0x55a3429b, 0x064b5e25, 0xdd663f64, 0x5e091121, 0xf6e29ff7, 0x49403e05,
+    0xa60f7d0a, 0x895f3c69, 0xeedc3c5d, 0x8a57096a, 0x705302d5, 0x98b610f8, 0x3112ff97, 0xbba1002c,
+    0x97809208, 0x103dcf7e, 0xede1be9f, 0x0f8561a0, 0xc0e1b024, 0x98f4eb30, 0x7a957634, 0x47e28ed0,
+    0x98710aaa, 0x4ddbd49a, 0x82531cda, 0xe63549bd, 0x3ee717f7, 0x9ad28d16, 0xe3844b1c, 0xa7064398,
+    0xe88d5150, 0x79f5f825, 0x2461e52f, 0xbbde6405, 0x9a7b116e, 0x3c273ac6, 0x3b4a2ee7, 0x31ff8a1d,
+    0x22bb8203, 0xdc2a41f9, 0x495b7228, 0xeb226361, 0x82c94dc8, 0x0c791c96, 0xc69782d8, 0xa1570633,
+    0x2267fe79, 0x43214ff7, 0x4a04ad1a, 0x8b6cdfac, 0x65d0eba3, 0x8e1b05fe, 0xecb0dbe8, 0x6ee5df37,
+    0x4136239b, 0xb062359d, 0xfed2b5c6, 0x44e2e546, 0xc49533be, 0x9cf8f895, 0xee71385b, 0x4dcb6167,
+    0x424107e0, 0x0174ef40, 0x6f302ffb, 0x0975434c, 0xa9911c06, 0x76b88336, 0x2fbcdb9d, 0x5d6f592b,
+    0xef6102e0, 0xeb4251f1, 0x939341bd, 0x7c9538cb, 0x1b31a928, 0x1fac7ece, 0xcd600835, 0xe7e94a67,
+    0x35737c88, 0x98d43163, 0xb0c479e3, 0x434c26fa, 0xb1bd81e9, 0x02f8b70b, 0x8aba15f0, 0x1abc513f,
+    0xbfd6962b, 0x0f3d9f01, 0xc490f49a, 0x7e466f78, 0x67ee0cbb, 0x7e477c7e, 0x3dcf4e9b, 0xd2f952aa,
+    0x22451180, 0xad495512, 0x79bfbdef, 0x60ab735d, 0x096c1131, 0xa950092b, 0xa0b7950f, 0x207e8f2a,
+    0x650e965a, 0x69f88e59, 0x09b78cc5, 0x9a114172, 0x42b411a2, 0x0901f968, 0x8c2b74e2, 0xb8530262,
+    0x0809f146, 0x4513213a, 0xf95893c9, 0xddc98607, 0x05206f11, 0x8479f97e, 0xb5427380, 0x8a585942,
+    0xe9cfcec1, 0x628bebce, 0x93a58bf9, 0xc9d582fc, 0x9735d268, 0x98fa0c92, 0xf71c8440, 0xfaa83fe9,
+    0x7954de56, 0x084c3f05, 0x838ffe05, 0x7d5b7a9e, 0xefeeb9b6, 0xe55d890d, 0x9db767e0, 0x3730603a,
+    0xc4047621, 0xdc5fea34, 0x8f085b2c, 0x3dc38db2, 0x5e433bf8, 0x5446ec45, 0xa55044aa, 0xa1f3d27c,
+    0x0bf0c787, 0x4f8f48f5, 0x06ce640c, 0x93ee1486, 0x9e31797b, 0xfe8cf6b1, 0xacadf77a, 0x1545075e,
+    0x6c964781, 0x0c2f6f8e, 0xf15321c5, 0xdd03ad2a, 0x9f4b140b, 0x6365a341, 0x81fea0db, 0x6d46055a,
+    0xad25fe5f, 0x247997b2, 0x39cda466, 0xa18610bd, 0x5fa38f6c, 0x699a9293, 0x4dcc07a9, 0x4d2ef729,
+    0x22dd0027, 0x2c44042c, 0x1eb72e22, 0xaaa45c44, 0x4517fc13, 0xbc2d24d3, 0x948c6aa8, 0xfda12199,
+    0x2d1ee401, 0xc0d8513d, 0xa8c92996, 0x7862fded, 0x72593a0e, 0x96ffa9b4, 0xec0d8840, 0xe1b78e8a,
+    0x41c40d4a, 0xd7b92dfc, 0x0244a838, 0xde0f8149, 0xc937ff5f, 0x9edcbf86, 0xa688b1f1, 0x6b07a44d,
+    0xc3df52cc, 0xc1eac35b, 0x3b24a37d, 0xcdc16347, 0xb2e56b4f, 0x5a1b72fa, 0x3a15612c, 0x101646f6,
+    0xb5827faf, 0x2ecbc264, 0xfa837596, 0xaafaf0f2, 0x22639e52, 0x2aaf1ec0, 0x5f1880bf, 0x3cef0405,
+    0xf1bed926, 0x6edb47a9, 0x9bb62ab6, 0x9d0b72ca, 0x3eeb71f3, 0x3a07c970, 0x1ac2bdb2, 0xf808de56,
+    0xbd6c55a5, 0x92cd316a, 0x04d77d22, 0x03498b77, 0xb284fa6b, 0x252c165d, 0x3a8bdb08, 0xeea418c2,
+    0xabdbd809, 0x4718bb36, 0x2d6aee52, 0x39c65f27, 0x3777b195, 0xcfd2a020, 0xd3092e45, 0x471cd1a3,
+    0x6c1135ba, 0x37665aa6, 0xa2a007d8, 0x652dab1e, 0x52557004, 0xdfde50a7, 0x388ed877, 0x9cd3fa82,
+    0xa8593589, 0xbf9cd3d3, 0xbe541dd9, 0x4f8cb794, 0xee1808c4, 0x979de02d, 0x6e25eb9a, 0x04198147,
+    0xd5b7b729, 0x4fc77a04, 0x42555cfd, 0x0e32cba0, 0x96390e4a, 0xca6ff09d, 0x8f50b2ee, 0x52891be3,
+    0x0a4ac660, 0x0e5de910, 0x42d16e3d, 0x0cb87abe, 0x25c32eb3, 0xb17d076e, 0xe9508dad, 0xd5fe5b8a,
+    0x8743aa00, 0x6c807ae1, 0x1abcd301, 0x5d1f3903, 0x47d6a6f0, 0xf3dea03f, 0x911e85bb, 0xfea06108,
+    0x6f82b7ae, 0x1b657e30, 0xa98741dc, 0x593308ee, 0x2079b9ec, 0x236a8750, 0xd05a83ab, 0xe851a8c3,
+    0xffcf2f70, 0xe0a109ab, 0x648dbed5, 0xdbbbe46f, 0x5d1a5948, 0x133c2321, 0xaf62d844, 0x21be9a48,
+    0x99b6e1d9, 0x6aa0b63b, 0x5e17f29c, 0xa9f0e4cc, 0xe534d841, 0x52856e48, 0x7ad764fe, 0x896a9821,
+    0xeed817dd, 0x62f70335, 0x44028035, 0x4c3ddb48, 0x7aa0697e, 0xb2ca150d, 0x49f25be9, 0x8bb5feec,
+    0xbec53ac4, 0xd3898da4, 0xbfa75389, 0x3060a5df, 0xe7e1559a, 0x7e3a4f7d, 0x33832e27, 0x499e7c50,
+    0x467aa73c, 0x9c6765db, 0xc870c259, 0x5d2b018c, 0x340cd79b, 0x0b02709e, 0x0c074a72, 0x40c6138e,
+    0x4962218f, 0x0ff503e4, 0xb4c53000, 0x76cc835b, 0xd8876c27, 0xd7ca8c68, 0xb6bb6b02, 0x476c5e29,
+    0xe613c5c4, 0x7774c8c1, 0xd57ad28e, 0xe6727391, 0x5f8f60e8, 0x46041781, 0xf96a11a0, 0x79a6070e,
+    0xd22a7fc6, 0xf73c98a2, 0xfdec57f7, 0xe224eb6e, 0x1be1b409, 0xb5fb1b4c, 0xb9676b0f, 0x5bdcc97a,
+    0x3ff83226, 0xfc7d8394, 0x25d9c743, 0xd817ee45, 0x4c1ba017, 0x9fe231c4, 0x6f94196a, 0x38318f66,
+    0x8a5ae388, 0x92c79e5c, 0x38981de8, 0xee5fb888, 0xedecca93, 0x85bf00e9, 0x244cffbb, 0x1bc85891,
+    0x6c8736e0, 0x48f118a7, 0x75c142a2, 0x22b072ed, 0x7ecce0e8, 0x1cbeb636, 0x76d59068, 0x651da9b0,
+    0x022af916, 0x0cebfba0, 0xe509b89b, 0x3771c4b8, 0xc37b0c35, 0xd11cfd8a, 0xf00cdbee, 0x866688ac,
+    0x1390fe8b, 0x7a6fb40d, 0x2580a100, 0x35581d3d, 0x1e3c2136, 0x0855e784, 0xb0f218ba, 0xcf838dc3,
+    0xe4a0c4d4, 0xd02596c8, 0x8d070296, 0x39fdb7b4, 0x01082600, 0x768264e2, 0xa831b5c2, 0x0c8919fc,
+    0x86c365db, 0x47fab498, 0x41a6342f, 0x00b18581, 0xb4c1d5c5, 0xabce4816, 0x06ad2e1c, 0x86dd1511,
+    0x14d1c1a7, 0xdb370de5, 0xe0254fbb, 0xf01eb524, 0x48b6b8e6, 0x2ed1f334, 0x9ef31176, 0xe6c69806,
+    0x42116970, 0xb9718918, 0xf8dfae59, 0x9b49f447, 0x78a89363, 0xe430c825, 0x498e6dd5, 0x04b6f037,
+    0x646bac6e, 0xf1c0c14b, 0x47ba3539, 0xdaba65f3, 0xf25da3b3, 0xa8b837f9, 0xa1f73196, 0x08a14664,
+    0x0a9f1a6d, 0xcb3f6a56, 0xc47b8ea1, 0xf701e67c, 0xaa9c6403, 0x18e04ec3, 0xb8ee1fb5, 0xcaf8a3be,
+    0xae0227d1, 0xb78da1e1, 0x4db2060f, 0xfc1c0e06, 0x4c296006, 0xa3838378, 0xec127612, 0x03ea2473,
+    0xaa740eab, 0xe7ed54a3, 0x58addd6a, 0x2709fb0f, 0xa13f3aff, 0x7192a9b4, 0x14441028, 0x91024832,
+    0x0927e32d, 0xb0fd57ae, 0x09e43c82, 0xebee49c8, 0x04a48ff0, 0xf1fed4a1, 0x1d92a49b, 0x13f6880f,
+    0x063a026c, 0x3664921e, 0xe4b118aa, 0x0dea8c17, 0x164481af, 0xb6dc60ee, 0xdc7efa4b, 0x957141de,
+    0x081f26cc, 0x14fd4e13, 0x67d24561, 0x141ac6f7, 0x618324df, 0x1a4280ca, 0xcaf430d3, 0x0d6ad3ff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000001576080247855779168491161604005744552203\
+                          18957081861786671793173616982887085988842445657065019539662563226511961227264 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599,
+    0x349d500e, 0x4262958b, 0x724a9bfb, 0xe8c3d317, 0xccd7810b, 0x1157062e, 0x0eda0aa4, 0xe297a14e,
+    0x00000000,
+    0xa53d5dda, 0x08ebe5c3, 0x7dd29d93, 0x4494d739, 0x6742c10c, 0x6b1555ec, 0x30356488, 0x2eaebb97,
+    0xffbb3ee5, 0x78b44428, 0xf97bd32a, 0xf1bfa581, 0x7fbae5cf, 0x19e5a4ae, 0x57861bc8, 0xd5d86112,
+    0x3a240b57, 0x21d7685a, 0x58fa30b2, 0x69ec4e78, 0xc42ef391, 0x501212e9, 0x88e5c7c0, 0x75b21310,
+    0x9deedce3, 0xa95808b6, 0x1e0e6270, 0xdb436c26, 0xbd5069f6, 0x162ee402, 0x703e4be6, 0xef3acfa5,
+    0xb8ee23b2, 0xd79d747b, 0x1991272e, 0xc3e709ac, 0xda3b93d0, 0x57dc2451, 0xfe28bba4, 0xe591fdf0,
+    0x502ba93d, 0x7625281d, 0x79b2be21, 0x9c849fd5, 0x92dcc112, 0xd75b91e8, 0xfef84d5d, 0xadab17c2,
+    0x5d6aaa00, 0xfa2fc258, 0x5d069bc7, 0xc300d4a8, 0xe82a141b, 0x1a97b94b, 0x81231630, 0x8859d674,
+    0x77ebb70e, 0xfcbba659, 0x0a82be6c, 0xea2996fd, 0xa6900208, 0x777164e8, 0x0790ee99, 0x9f444ced,
+    0x464240d1, 0x35f7ebb0, 0x935284d6, 0x1c30d515, 0xa8816944, 0x6ea1952d, 0x61fd9942, 0xfcab5e32,
+    0x9800ef04, 0x0bf9db54, 0xb6819f7b, 0x5c3b3547, 0x92112dec, 0x721127d1, 0x62dcbf11, 0xf1a54f96,
+    0xd32ef17f, 0x08d09186, 0xa3f02c13, 0x8bd72a7c, 0x2d98d4ac, 0x1bd79592, 0x08bfcf3d, 0xafbd46cd,
+    0x41ee55b4, 0x97fe5ee0, 0x003f413a, 0x178d35e2, 0x657dd8cf, 0x85f2b7da, 0xc50d3fac, 0x951f5bb4,
+    0xba9cd219, 0xb9c5ca1f, 0xba1045ae, 0x987f3f80, 0xe7d3d285, 0xc5efce26, 0xe215d655, 0xee28dbe3,
+    0xc8f31384, 0x78d9072d, 0xf8c910ab, 0xe76aa80a, 0x94751747, 0x4674ace9, 0x972aa4c3, 0xcbfad4d7,
+    0x0c91920c, 0x81e3d6aa, 0xccf1fbf4, 0x42324179, 0x7f1acb0f, 0xa45470bd, 0x10c16810, 0xa8e966d1,
+    0xc911cf0f, 0x47344610, 0xc3d45c6c, 0x1008265f, 0xbdf25818, 0xd30fb962, 0x2fc4e58c, 0xf67c8e11,
+    0x47fac0fa, 0xaaa5d808, 0x4d5d4d7c, 0x0b755352, 0xe9e215f0, 0xbe1a12f3, 0x295127f6, 0x8fe48272,
+    0xee31eb66, 0x021c521c, 0xc59a2485, 0xe7120dba, 0xeaabd827, 0x39e73701, 0xa8dcca39, 0x9fab6486,
+    0x5131b9c9, 0x3b780d02, 0xd084da60, 0x83c05e81, 0xfc16e59e, 0xae8dddc3, 0x39b8f5e9, 0xf3799af0,
+    0xd88fe950, 0xfe0327c8, 0x3662bea9, 0xf64c48ac, 0x2e0a1697, 0x47f3ea92, 0xc3c7ea6c, 0xaac14e1c,
+    0x3cc0ce21, 0x28ae5599, 0x41507b52, 0x84d2e23e, 0xa7558b7b, 0xdec9e0b8, 0xc0cf5863, 0x691031f8,
+    0xebf336b3, 0xb927f0bf, 0xb93e8b55, 0x34bf6df9, 0x28261690, 0xbcde539d, 0x78e700e9, 0xef7cc10c,
+    0xf8cd99f4, 0xad8a4260, 0xce1a81ce, 0xe4c3ca52, 0x6da93803, 0x7acd9e60, 0xaeac7935, 0x48e749c1,
+    0x0c7e0d17, 0x517f4ad1, 0xb9313afd, 0x6ce3a2d1, 0xc84b18cd, 0x86ca554f, 0x031c5326, 0xf750184e,
+    0x28fa69f9, 0x7304439f, 0xc8b07c1e, 0x056ae03a, 0xed00e847, 0xc46bd79f, 0x08c98709, 0xfc8f840d,
+    0x3f7ce440, 0xd08aa417, 0x0a90f467, 0x77281a41, 0xe7134286, 0x999c6c6d, 0xc3eaa778, 0x819beefe,
+    0xd8d94c60, 0xa82f79bb, 0x816f3cd5, 0x4f6432e9, 0xd9b83323, 0xb31b9214, 0xf9f0b21e, 0xeb087eb2,
+    0x5ad6f64c, 0x649fccc1, 0x1dd5a4c0, 0x5992383b, 0x1be905f2, 0xad2bad7f, 0x5a9573f9, 0x23343198,
+    0x1de40569, 0x11eaad68, 0xe6aec818, 0xf9424e9f, 0xd37b5d38, 0x74d73a5f, 0xf074fa52, 0x4872471a,
+    0x2b847acc, 0x9f82b44d, 0x6784038a, 0x46e49dba, 0x1e3170e6, 0xa93027c0, 0x5a4a20df, 0x5f15a51d,
+    0x380b9c65, 0x54ab9339, 0xd1416883, 0xf1df0722, 0x7c0a7ec7, 0xebe7f8d5, 0x8a0c5d58, 0x736949ea,
+    0xe8602364, 0x503b90ee, 0x18ee225a, 0xb8e8b77c, 0xbd9bdc41, 0xc6bf56ff, 0xec127f23, 0x114f9878,
+    0x330433df, 0x47767652, 0xbbd084c3, 0xc403626d, 0x60eee142, 0x9d1f002d, 0x0bc23c55, 0x9d293723,
+    0x67826927, 0xd5c418aa, 0xdb577f04, 0xb60dbf25, 0x5bd34cc6, 0x2310e048, 0xcb786ed5, 0x0a92cfad,
+    0x8cc47b6c, 0x99ee5eac, 0xd8d4be9d, 0xbb40bc50, 0xf8672a9c, 0x6fd79545, 0x89e9173f, 0x87c6740f,
+    0xd7793252, 0xd003b5be, 0xced40d74, 0xcdc574da, 0x853dce59, 0x907f2a9e, 0xc2ac3255, 0x2f7df1eb,
+    0xffc1a5cd, 0x0127ce5d, 0xe1262a89, 0x0c6336e0, 0xcf1c9e6b, 0x271ac2b0, 0xa0f6c5a3, 0xee670f40,
+    0x3abcc08b, 0xbcf283ca, 0xede93556, 0xf580e17e, 0x02d52cc0, 0x0a8f1b1e, 0x67abe5a9, 0xc8854991,
+    0xfb63b459, 0x54e9d5b5, 0xaeeb9fd4, 0xbbb89fc4, 0x0cdf02b0, 0xc7b23696, 0xbe887eff, 0x0524f0de,
+    0x658baa77, 0x0b16e7af, 0x159f5b61, 0x4b883893, 0xef2b259c, 0xb2bc5eec, 0x2429c2ba, 0xb8651428,
+    0xe586e3b1, 0x882f39eb, 0xf8a56e81, 0xd92b0c9c, 0x24447c1a, 0xbb6c8a30, 0x23302477, 0x0a4f95f4,
+    0xe6765f94, 0xbd1edc4e, 0x15fa29ec, 0x27497b98, 0x4ef68307, 0xd6d57e9a, 0x5d0c6e81, 0x53fe4e98,
+    0x8d532297, 0x4b5f964f, 0x9989d6d7, 0x19d97364, 0x46ac1184, 0xfa14e070, 0x0fe33820, 0x11f5a084,
+    0x0659a383, 0xd867312b, 0x531d0081, 0xcd55a319, 0x77564cd1, 0x5fc4c305, 0x4e2bf4f8, 0xb023f1b0,
+    0xee694352, 0x6ed38372, 0x8278eaf5, 0x46d32a14, 0xd03b0c34, 0xe3ebabc5, 0x67e151b2, 0x55ce3219,
+    0xa777f7d7, 0x966ac37a, 0xce13879e, 0x65d60301, 0x5475e928, 0xc2af01c8, 0xbba47100, 0xff694644,
+    0xc8496c6e, 0xde0715f3, 0x4ffec7fd, 0x3ea6c01a, 0xe2af4d3b, 0x89182b18, 0x0fa3acf9, 0x9dbaf3d9,
+    0x87dec7e0, 0x9aec4ba0, 0xa39b27f8, 0x31462ea7, 0x3a260340, 0x61e003de, 0xedf84c17, 0xc45d2c3b,
+    0xd1e1935b, 0x96bf0c83, 0x30a559c3, 0x7dcdefa6, 0x42eff893, 0xa8d3eb64, 0x1adb83a9, 0xfee8bb7b,
+    0x5a4e0bd9, 0xc2eeccb7, 0x8cef3d2d, 0x74fc161c, 0x4c324e3d, 0xb3f1dde2, 0x7fd8a67d, 0x9c49f827,
+    0xa37891c3, 0x588cd219, 0x89e5c173, 0x30ded464, 0xee354dd6, 0x60bd9737, 0x10c5d058, 0xb0f58cf9,
+    0xbacfd5f6, 0x15b4a768, 0xddb447cd, 0xe5d52ef5, 0x557d4bd5, 0x97dcb312, 0x4889cb4f, 0xf505557c,
+    0xf9b3d505, 0x6181ced6, 0x2e170efb, 0x719f3a70, 0xd7ff4f62, 0x9ff9d576, 0x0552709c, 0xab3b64bf,
+    0xa3bf4a98, 0x424851b5, 0x2c35e731, 0xf27d704f, 0x8257e40b, 0xd5ef17e3, 0x8f0921c2, 0x3794eaa4,
+    0x7b90caf1, 0xf4a1fa99, 0xbd26b9ec, 0x4f5a4bb6, 0x0f415916, 0x3e221164, 0xae995427, 0xd2afb29c,
+    0xc53f1ec9, 0x45aa981f, 0x20090ef1, 0x366584fd, 0xa28fbe34, 0x67a8f923, 0x353dc976, 0x5b806547,
+    0x53fbb250, 0x5c3fec32, 0x45e15949, 0x56e172cb, 0x16cc5f14, 0x80f04eb2, 0xd87f22ae, 0xb4c0bbe2,
+    0x9b647763, 0x5f01c5bb, 0x511f5c7c, 0x9a67bc7a, 0x886080ed, 0xef28a1b5, 0xa83074d3, 0x7faf1982,
+    0x8e72b88a, 0x54430c73, 0xca0e217b, 0x201699c9, 0x61d67508, 0x2cf4f71b, 0xb9e44a92, 0xfcc2422f,
+    0xf67e1a8e, 0x722ca176, 0xb2f1fbd0, 0xebbfec9b, 0x2e6eb670, 0x8500a502, 0x29f2cf6d, 0x949d551d,
+    0x5eb16965, 0xba8db2f2, 0xb0c575ce, 0x8362906c, 0xef602db5, 0xaf08973a, 0xf34d9f07, 0x4d7eaca0,
+    0xa79f23bf, 0x2f669a33, 0x3f42b356, 0xf95ad263, 0xb92e6c96, 0xeffa720b, 0x6f4bda3f, 0xadce4cb1,
+    0x5c6ca349, 0x7ffb9633, 0xbba7364f, 0x28fd495f, 0x9f367553, 0xd86cb140, 0xa37b5998, 0x28e1750b,
+    0xcee2a5fb, 0x8146f051, 0x8d23225c, 0xd0fe9794, 0x1cca2391, 0x7423b848, 0x41aaa72c, 0xbd63ca0f,
+    0x1c045894, 0x6f17a7af, 0x6d503619, 0xf16c2a8f, 0x81007ba3, 0x84e7a054, 0x47bd0061, 0xc02e8d40,
+    0xa874e6d5, 0xc43b6ca3, 0xb8e083f4, 0x1bbd160b, 0x6fe3a35c, 0x0765ac5d, 0xbe9a7966, 0x3eccef95,
+    0xb72ac0ec, 0xcb8e631f, 0x4570e518, 0xc7ba8bc8, 0x38a2f31b, 0x6493baa4, 0xd2d0e15b, 0x667dbe2e,
+    0x1e30dfdb, 0xd8567301, 0xcd10206b, 0x3e3b3439, 0xf864555f, 0x68b8c8f2, 0x5ad48978, 0x3d26381b,
+    0x963f1654, 0xc34bee12, 0x12866fda, 0xbcf460b4, 0x1054b13a, 0x5f93875f, 0x28adb293, 0x9895f876,
+    0x2e438558, 0x65f0ecc0, 0x9c055b3d, 0x31e0e176, 0x836c2775, 0xa4fddea3, 0x3851921b, 0x8eb61163,
+    0xe60622e7, 0xff243b7d, 0xa6343570, 0x5a9dc56e, 0xffe43c6d, 0xdf98b1b9, 0x25fb538b, 0xe22b7f4f,
+    0x6542987c, 0x56eeb5d7, 0x26fd7bc2, 0x02724504, 0x452e5883, 0x199190b9, 0x2b9b41e6, 0x44236695,
+    0xe55142be, 0xc558fdc7, 0xa30c6b60, 0xa1de27d7, 0x17e7f735, 0x9cda71b1, 0x76c87fe9, 0x825baeb7,
+    0x2d3996e3, 0x0d605e0c, 0x3f1ab4ac, 0xb66b3f2d, 0x15db99e3, 0x4cab5218, 0x47deaaff, 0xd7871be8,
+    0x510cc7b1, 0x76002bfb, 0x0b1fe823, 0x1e266eec, 0xbe9f33be, 0x0086ecaf, 0x7a39ef3d, 0x5c6a0ef8,
+    0x34269acb, 0x85f09fd6, 0x13360ca9, 0x90950044, 0xc539fb9e, 0x3a13bc50, 0x4e6f5575, 0x4f995111,
+    0xf35f8054, 0x2ccfed37, 0x8c843c39, 0x49403579, 0xb636bb22, 0x069f9ff3, 0x59d32a88, 0xe66fbc9e,
+    0xed0887a2, 0x1915cc3a, 0x5f6198c4, 0xccb8e1ec, 0x3e483b28, 0x0ae51a9a, 0xc448d3b0, 0xce4568ab,
+    0x81a02995, 0xbdc150f6, 0x49fa767b, 0xb889cb67, 0x6d023e3f, 0xddf84c1e, 0x947551bc, 0xda677594,
+    0x962303c5, 0x9f4553cb, 0xc90bd619, 0x36687356, 0xcef44396, 0x324c51bc, 0x4d3b4156, 0x3d167c7b,
+    0x0129cbe3, 0xe7cdef1e, 0x51d88bfa, 0x2899a0b5, 0xbb42be1a, 0x1eb34c59, 0x1f8911da, 0x77612c53,
+    0xa46f6e03, 0x81e6c2e0, 0x5801e8c0, 0x323d8ef4, 0xb0de27c4, 0x192a8dea, 0x635ac2a4, 0x90d1bbdb,
+    0x309ec0b7, 0x642376fe, 0xe3bbedc6, 0xdb045259, 0xbdf0449a, 0x6b4e939c, 0xd8ec32b3, 0x680746ea,
+    0x9ff5f0c2, 0x0bc19c1e, 0x76b60722, 0xc3f3a766, 0xad7572ab, 0x505740fe, 0x8928e532, 0x80a0d1ce,
+    0x77a443dd, 0xc33fdd7f, 0x241592d8, 0xaa240a42, 0xb66f8a27, 0x83b7def4, 0x0db05590, 0x6ce4ce59,
+    0xb4bd72ff, 0xb16c9f8d, 0x8d7b8eb2, 0x0765ec07, 0xc13df80f, 0x7d74c108, 0x59f046d3, 0x93ae8b0f,
+    0x8553a50a, 0xd04e5dbd, 0x78e99de0, 0xb584a106, 0x030533dc, 0xc4d86e8f, 0x54082d3f, 0xdd275e82,
+    0x03231f66, 0x6c872713, 0x1a85c1b2, 0xa1b1f747, 0xa38bccdb, 0xb17733f9, 0xe0ac3386, 0x6b87e7fd,
+    0x7082ec3d, 0x956017ed, 0x333ec040, 0x9aa25472, 0x9c9aa7e3, 0x6fe12484, 0xff389df7, 0xe748e608,
+    0xa9ec9d1d, 0xa71b25d2, 0xc5f438c4, 0xc14868fc, 0x492416ee, 0x22d93afd, 0x6abfb4ba, 0xb6c02b10,
+    0x474cc425, 0xf5c62f71, 0xa0d3b9a2, 0xa9f6fbaf, 0xc0d7f235, 0x4ec8f7d5, 0x1462c424, 0xaa9ad42a,
+    0xda1c5bcb, 0xbb4770a9, 0xaca16501, 0xc1149142, 0x2521f5a8, 0x6f7cf0df, 0x7e718d82, 0xa47de7d0,
+    0x63ef947e, 0x8c4e0cae, 0xdb922849, 0x10f64719, 0x3fc87175, 0xb78ed9d9, 0x3284e6ab, 0x4c6742f9,
+    0x5f55e68d, 0xf2b35e54, 0x1ce553d1, 0xd0fec9a3, 0xc57d3eb0, 0xaf37dedc, 0x6f893caf, 0x659b970c,
+    0xd9efacf6, 0x0b2f0bf1, 0x02178310, 0xf1161470, 0x4450e5ab, 0x36cf8ebc, 0x858b7d55, 0x66d8b2fa,
+    0x37fee4b2, 0x85fc03cc, 0x00994d4b, 0x1d662809, 0x0fcd3d41, 0xdb49d360, 0xe56fe125, 0x3136d56b,
+    0xf68e0cf5, 0x598c79ea, 0xfdd72d53, 0x261a6aaa, 0x437a6ea8, 0x99fa06d0, 0xe72f4688, 0x8d36e025,
+    0x99159fcc, 0x729b630d, 0xbedf677f, 0x89f91134, 0x9142de56, 0x39ff45ec, 0xae204075, 0xbdb740d9,
+    0x866112a3, 0x13f41e82, 0x8dcafad2, 0x69f3cb71, 0xa46994a5, 0x9250c3d6, 0x11e1332d, 0x17f1b797,
+    0x790ea52f, 0x858e5267, 0x2451ec20, 0x893900a7, 0x0ec645ab, 0x044581bc, 0x04f24a70, 0x5b6e05f5,
+    0xec229e60, 0x3d16a6cb, 0x9624cbad, 0x31e9d52e, 0x075b0323, 0x378483a7, 0x40020c4f, 0xde9badeb,
+    0xe1723836, 0x7a941a23, 0x9c8a65f2, 0xa33c89c7, 0x04e71438, 0x5ac112aa, 0xf8cfe99d, 0x4160ec8b,
+    0x9abf636e, 0xf8006106, 0x98ae5728, 0x9897a61b, 0x923e3df9, 0xdcdf91e6, 0xb3b1d21f, 0x9850a9e1,
+    0x9434cc1a, 0xd19df6c6, 0xf0af494d, 0xb39e20b0, 0xc0e8a8e3, 0x90d32647, 0xbafaf80e, 0x9b170366,
+    0xaa1b4857, 0xef33ac2f, 0xfeb44dda, 0x4f340e3a, 0xce44efbb, 0x8ba6c04b, 0x53747cc9, 0x92b685b5,
+    0x0e553bbd, 0xcfaabeff, 0x69b79b23, 0x6909c378, 0xfbf33bf3, 0x3a80fb72, 0x55a77b56, 0x5cb4800a,
+    0x8d518c23, 0x5dd8f745, 0xb705861e, 0xc0caa5ff, 0x718222e5, 0xe0014ca9, 0xb6fe51a8, 0xa8568e8f,
+    0x29ef3a42, 0x75a83e80, 0xc06addd6, 0x7a967b19, 0x9db746b0, 0xb9ef8fb4, 0xb0b9a667, 0x84babcbd,
+    0xe046d833, 0x15fae18b, 0x65f04c72, 0x257afdd2, 0xe5dc5511, 0xa0e7c379, 0x39369b73, 0x661148ca,
+    0x90f2cda8, 0x67c61110, 0x57bb2b65, 0x103b4427, 0x97e33133, 0xd2e44f67, 0x62515e1c, 0x18dd5a49,
+    0x2be87b35, 0x88e3ce69, 0x46e24815, 0x5c1bb464, 0x40012209, 0xd0b39a47, 0xcae2506a, 0x24822cf9,
+    0x29fb6bd6, 0x02ab7845, 0x9810a697, 0x1339a14f, 0x9ee87ccb, 0xdffe0530, 0x1b06c7ca, 0x2f14b312,
+    0x31d1d426, 0xcfa3eb7f, 0xef9c80ba, 0xa9a6aaa8, 0xc641beec, 0x99d27fbd, 0x5e36c2bc, 0x08f54895,
+    0xa9f9d964, 0x6a11c69a, 0xcbce124a, 0x21fc3ab1, 0xe8af9489, 0x243ecc53, 0x8612e662, 0x71b4272f,
+    0x4007cd7f, 0x7b26fd15, 0x91f9e695, 0x83b8e7a8, 0x78f98099, 0x5b8158e0, 0x9064cd5b, 0x78ae65bb,
+    0x94c21a17, 0x5440f212, 0x02779ddf, 0xeaef3b6a, 0x8785f6c1, 0xa54004ec, 0xbb3441f3, 0x3af24401,
+    0xd13573ed, 0x188a8fdc, 0x239167ec, 0x49c243cd, 0x3d5588a5, 0x6de18cd5, 0x8ea78f03, 0x13226600,
+    0x9203ef3a, 0x40068915, 0xfe860114, 0x31113a36, 0x53ccd223, 0xcb3263f0, 0x7dc52619, 0x2971b3d8,
+    0x6cf60510, 0x21ea1c88, 0x097a2ab1, 0x3d2b6d07, 0xad84a9aa, 0xa3eeedfd, 0x7150e590, 0x46f93cf1,
+    0x863dc032, 0x7341b488, 0x8f0df169, 0x1a226429, 0xcbe61fb3, 0x2845ee9b, 0x7095d38b, 0x1f655190,
+    0x17b4cec3, 0x0556008e, 0x684243ce, 0xa480f35f, 0xcf74b0b4, 0xed0c0714, 0x5c7bd219, 0x1931ddb0,
+    0x8abb77c1, 0x01cbae22, 0x1b6957d5, 0x93e496b5, 0xba34c649, 0x1c778305, 0xf07011c0, 0x8506fd77,
+    0x18e5e24f, 0x3d2aedee, 0x5fafdbc7, 0x2cfce952, 0x1274c79f, 0x38658d48, 0x5e170c37, 0xbc9b5df3,
+    0x77720d96, 0xd8a75db3, 0x66fc7764, 0x2ae84da2, 0x93d4364c, 0xcb58b16a, 0x93607615, 0xe7ddfac5,
+    0x6e10bb04, 0x62050374, 0x744160d6, 0x49054d18, 0x4c05bcbc, 0x336ab374, 0xb7077ace, 0x7d98cd70,
+    0xfb86ebdc, 0x306723af, 0x8cd22637, 0x88d99ad0, 0x37fc1474, 0x18af8b5a, 0x4f5a2e1c, 0x9f04bcb3,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000788040123927889584245580802002872276101\
+                          59478540930893335896586808491443542994421222828532509769831281613255980613632 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc,
+    0x9a4ea807, 0x21314ac5, 0xb9254dfd, 0xf461e98b, 0xe66bc085, 0x88ab8317, 0x076d0552, 0x714bd0a6,
+    0x00000000,
+    0xcdac4720, 0xb494a85f, 0x9e37e09b, 0xacfb7703, 0xbb599961, 0x6e41d056, 0x6de55a3e, 0x85241aa9,
+    0xf44be9bb, 0xef96f2cd, 0x31769011, 0xab8dc6fb, 0x6076fe51, 0xb82724ba, 0x48023cb7, 0x34383657,
+    0xcc24c52c, 0xb44a9904, 0x166254cd, 0x78fd482d, 0x0db1352d, 0x4b82fb31, 0xf916bc6a, 0xf6d76d65,
+    0x3d1ea021, 0x7fc101db, 0xcc523f59, 0xb59f10e5, 0x8933b751, 0x2c57e4be, 0xb4ec7b0e, 0xbbc56a96,
+    0x16d808fe, 0x533d2c6b, 0x2ec69040, 0x58c25518, 0x3b287229, 0x7bcdd7db, 0x27b96cc5, 0x2b94916a,
+    0x1ad6d184, 0x405f3356, 0xa381fca1, 0x95f61942, 0xc0ca1efd, 0xddcd7371, 0xdd22e23f, 0xc9137264,
+    0xc27e5a9b, 0x4b3fd2c3, 0x02850a26, 0x9fca37e2, 0x9d144570, 0xf2da74d4, 0x42c9852a, 0xccf491ff,
+    0x65320847, 0x3a958665, 0x60d467a9, 0xdacd0edb, 0xd13e11de, 0x36915f05, 0xf1939537, 0xfdb1e9f8,
+    0x72841733, 0x975a4a22, 0x183f5a20, 0xc9cbd13d, 0x237c14d9, 0x42d805e2, 0x330d8faf, 0xffa2cec9,
+    0xd8cf31ed, 0x9a4ba704, 0x4ea31da6, 0xa4827502, 0xac11331d, 0x7c9074c7, 0x395dcebc, 0x232400f9,
+    0xabcc8d09, 0xed108898, 0x338e1073, 0xb38bdf8a, 0x47344f23, 0xe5cca75b, 0xd4c4b12e, 0x4e41c40a,
+    0x0373195a, 0x255c1ea3, 0x380cc2a9, 0x6674447f, 0xdd0c0422, 0x7e3d6407, 0xc1f3b898, 0xc9d53994,
+    0x959a132a, 0xcd52b64a, 0xd56230f2, 0xe1a546a0, 0x3514a9f5, 0x036a971a, 0xc2e0dae0, 0xc8cd1402,
+    0xa148c56f, 0x02f36ea6, 0x249a1622, 0x65faa0e9, 0x68b21464, 0xec6dd235, 0xd6665c18, 0xb4597630,
+    0xc36ae110, 0xed23bbbe, 0x2455bb23, 0xe07b3de3, 0x0f8e5fc6, 0x42fa761e, 0x2152e1a1, 0x2095fa0c,
+    0x5071abf5, 0x41126671, 0xf6e340e0, 0x2fa1f7a0, 0x1d7516cd, 0x1e9739d1, 0x9bfd9f43, 0x58fe9c5a,
+    0xbc9f80a8, 0xf29e6b80, 0x246916c0, 0xe59d4cd2, 0x1e2c8677, 0xf9191b6e, 0x896fc65a, 0x9d91b5bf,
+    0x13243e40, 0xbec260b7, 0x0926a3c9, 0x05d38875, 0xe5f805c9, 0xb60e5e48, 0x33ae0fba, 0xfd054983,
+    0xf79a148d, 0xb1c07146, 0x5b130cb3, 0xda7b49a8, 0xaf60a028, 0x7dc95977, 0xcdc49f4a, 0xa77d02ba,
+    0x1af2486d, 0xce289c9e, 0x18b2402c, 0xb8448556, 0x6237645b, 0xf764681c, 0xef082a9c, 0x0c115c9d,
+    0x4414756b, 0x50eeeb12, 0x752a291e, 0xe66b4cc5, 0x8ddd583d, 0x7fd6123a, 0x4e1d0b35, 0xf7f3701c,
+    0xccf8ef31, 0xcc56cb11, 0x252cdc0c, 0xd817d3b4, 0x8d83c210, 0xecafd30f, 0x869d6a65, 0x40f868b8,
+    0xa177854b, 0xcd42e514, 0x45d8534f, 0x9df09ee5, 0x435c7e1e, 0xe8bb0816, 0xe6daca1a, 0x0f834fad,
+    0x46ce1026, 0x52fe4379, 0x25ffbfbc, 0xb4c72061, 0x26cc7ad6, 0x0c353bfb, 0x18aaa6b8, 0xbdcc6fef,
+    0x0bf7c38b, 0x284b81b7, 0xb64447be, 0x4e148b8a, 0x65651d3a, 0x7ff71a72, 0x7439f487, 0xa4188be3,
+    0x2c3de42c, 0x56b92a07, 0x2307c41d, 0xdd7e2cdc, 0x0913cfb6, 0x58042582, 0x5fe3df5a, 0xf6246d81,
+    0xe12479fa, 0x60da24d8, 0xbd6bded0, 0x211239f7, 0xbef38724, 0x2d739f95, 0x41aaad3a, 0x1642d94a,
+    0x3246cce3, 0x23838228, 0x825c9e6d, 0x30fb889f, 0x4716abaa, 0x312f817c, 0x1f020a68, 0x793ea467,
+    0xde878b00, 0x20879148, 0x041a7f76, 0xf808d386, 0x9a396468, 0x30055e26, 0x8594de6d, 0x21c23f37,
+    0xe22e16e2, 0x58f091bd, 0xe726610c, 0x1bf377dd, 0x5d9380e2, 0x090104f7, 0x51193d84, 0xa54e32dd,
+    0x5dce1d68, 0x5523484b, 0x889c1e8d, 0x4e8f4b4c, 0x051914fb, 0x752d8028, 0x089c9b02, 0x94c494c9,
+    0x987c9496, 0x136f9fd8, 0xb2b5ac22, 0x12dbc8fc, 0x4f43eb4e, 0xb915bb0d, 0x1b0c73db, 0x812fedb8,
+    0xa78cde95, 0x16de81ea, 0xf3aad870, 0xeed5770a, 0x113baa0f, 0xbc3f66de, 0xcbcea32d, 0x5731b567,
+    0x5648ab87, 0x48c65923, 0x362fc438, 0x6ec4d95a, 0xa742df12, 0xd2a15745, 0xa5631d7d, 0x519f739c,
+    0xfd4ea24a, 0x0cc4a023, 0x9c72ad16, 0xf61bde23, 0x1545e0a3, 0xfd3c42ac, 0x9b265f08, 0x7bb89bae,
+    0x35f6b80a, 0x7f582056, 0x4c6b3c41, 0x88418d49, 0x97fda68f, 0x94508227, 0x1ff8dd3a, 0x21816827,
+    0xf5661ebf, 0x1f070833, 0x9bc287d9, 0xca6aa690, 0x1fa7a242, 0x64384215, 0x491fbeba, 0xd6b719ea,
+    0x9c049e77, 0xdfc5a0df, 0x8a0e9fa1, 0x2d1740f1, 0x3e829403, 0x6c523a1a, 0x43453eda, 0x0f5b2396,
+    0x63b983dc, 0xee1a88ec, 0x98668187, 0x16cb77c7, 0x70dc4166, 0x3b6d82cb, 0xe170c823, 0x4ebad193,
+    0x5302d6b3, 0x2e04104f, 0x5948e826, 0xd4ad7023, 0xf03799e0, 0xe53bb9d8, 0x67310506, 0x6de439c7,
+    0xe036ef20, 0xd1e815ca, 0x1a8b5955, 0xa04ee4d7, 0xdf70fb26, 0x388f56f7, 0xd33e28f1, 0xbea103dc,
+    0xe41ab7f6, 0xff2f9d4b, 0x1f48cdb5, 0x9a6378ab, 0xec8aac14, 0xc0bc8b10, 0x63523d68, 0x7ccdd6f1,
+    0xef160da6, 0x07581a0b, 0x686afa5e, 0xacfb7ee2, 0xffce1dc2, 0xfc9f2dfb, 0x41cf390a, 0x33c96b15,
+    0x43411a89, 0xe69f31d1, 0xe41ac469, 0x6dc39a5f, 0x4341cbe9, 0x158d24e5, 0xf434e6d1, 0xe8827a3d,
+    0x71be7655, 0x8b979f54, 0x54a5e459, 0x658100c3, 0x9316885c, 0xcece1e83, 0x8f841b04, 0x3ecc40b0,
+    0x7627ad1b, 0xcb6233d4, 0x84112c34, 0x3494189b, 0x7b682113, 0x64dfa5ae, 0x32e4807f, 0xf2f24af1,
+    0x73ef70ef, 0x52a94ea5, 0xfbd3aa62, 0x37a1dd3f, 0xa63105e9, 0xdc876159, 0x63fa6f03, 0x066bab47,
+    0x4efcd73e, 0x85b858f0, 0x3f10085b, 0x28004b7c, 0xf7e37982, 0xbe70b52e, 0x36cd548c, 0x386030b2,
+    0x9189b263, 0x20f83dbe, 0x79051669, 0x6979a993, 0xf9d9423b, 0x60463714, 0x44252e1a, 0x3e704516,
+    0x91707b9a, 0xe4091859, 0x67d6f1ff, 0x0190e804, 0x39c15d51, 0x2b228401, 0x9e525967, 0x5cb82091,
+    0xd2111340, 0x9144908e, 0x15ee06d8, 0x1d930a02, 0x7f0f8b77, 0x7bcf4a85, 0xcec936a5, 0x02d0062e,
+    0x30b023c3, 0x0e5451f1, 0x206c7175, 0x5a2d087b, 0xefbbb520, 0x6d772116, 0x9cbce11d, 0x88eb288b,
+    0x84663f06, 0xf74916c6, 0x81efcfaa, 0x78c30c6c, 0x648bb104, 0x5939cca7, 0xaa099e98, 0xe4c0efa0,
+    0x4b461cb0, 0x2cf180f9, 0xf6a830c7, 0xc1ede8a7, 0x9ad76c02, 0x40742bd7, 0xa41bf32f, 0x3ab65647,
+    0xd6ef4169, 0xb1e41c5e, 0x1f9dc922, 0xefc43336, 0xeea891e7, 0x038ccfa5, 0x8c90ac4b, 0xae1eef71,
+    0xec1a56ce, 0x177a6ea6, 0x8ea5b4a3, 0x92c54564, 0x79e5ffca, 0x625a6b6c, 0x5f84389f, 0x1abb7e92,
+    0xf6b57438, 0xc7d166d9, 0x2e37b06b, 0x371dfb30, 0xf059c587, 0x0a28aa45, 0xfb1a98b0, 0xd2d77f2b,
+    0x55e6fccc, 0x06d16e26, 0xfb3b94ec, 0x713c219a, 0x8cdbf517, 0x2e0d391d, 0xa35d19a0, 0xb1bc9121,
+    0xd6a82911, 0xfef9ee84, 0xf2ffccd6, 0x1e0681da, 0x1452255f, 0xe1b282c9, 0xe728d04a, 0xfd16d6c6,
+    0x76392b04, 0x0471bd09, 0x0f96cdae, 0xa7793e83, 0xad76b69e, 0x2146421a, 0xfac6b9dd, 0xeb80cfb2,
+    0xff9ef259, 0x596acd2b, 0x55d4f531, 0x0f6d158a, 0x373fe48b, 0x7c7149f7, 0xc2496c23, 0x288dae9c,
+    0x5aa64d69, 0x7ebfeae9, 0xcf29f493, 0x21db7613, 0x59976810, 0xf73c5daa, 0x91552f62, 0xd86ad6e7,
+    0x8fcde498, 0x8c5be99b, 0xbc446678, 0x43d67ffb, 0x012cd091, 0x51b20508, 0x956d1357, 0xee2b028f,
+    0x1d69e317, 0xa20d9a61, 0xa37ad2b1, 0x875d39a4, 0xf6cd6db2, 0x4e112ea6, 0xa79fe832, 0x97a77270,
+    0x1a1ba494, 0x3793e5e2, 0x2b361890, 0x97cad9b6, 0x468b6c31, 0x6cb6ca7d, 0xe2fc871d, 0x33e5d4fe,
+    0x07bc10cc, 0x426e43be, 0x1d351866, 0x2aa86ea8, 0x2c17d783, 0xadf76d39, 0x29d941b0, 0xefa80635,
+    0x3498895c, 0x8779a732, 0xbe28fe6a, 0xd2d3d5d1, 0xfb827f9a, 0xd4df6e70, 0x6084c0c8, 0x2cece78d,
+    0x4365b57c, 0xde497622, 0xcca1ec84, 0x4f800e17, 0x908b4bc4, 0xc02f9513, 0xea45d3e2, 0xec42e6cd,
+    0x3234e8da, 0x60bde36b, 0xea42ea57, 0x585e56ba, 0x65489a55, 0x944936a4, 0x74602578, 0x68d10fb2,
+    0x18329439, 0xea8d764c, 0xdfa2553d, 0x47b45239, 0x99aed5fe, 0x4eeb8d2e, 0xfc7525c7, 0x97cd8873,
+    0x13e5941c, 0x55eb1d35, 0x19e9ba09, 0xbedc055e, 0xfa08f49d, 0xa2fd3398, 0xc22e2c84, 0x5570f7c3,
+    0x021d1e66, 0x10128623, 0x71a56faf, 0x44b55a43, 0xcfc8f92a, 0x650ec23e, 0xc91fef20, 0x78bba0d0,
+    0xc3aea76e, 0x6632af0f, 0x3ee34746, 0xe5308e92, 0x22affdde, 0x783dacaf, 0xd0d5885b, 0x28ed0102,
+    0xfaf88784, 0x2643f256, 0xd49f468b, 0x55d599d2, 0x8ae36e08, 0x2e34e063, 0x3e68356e, 0x11477bd9,
+    0x687e60c4, 0xbca9069c, 0x7910347e, 0xb60ef240, 0xc45dd2eb, 0x3cfc79d3, 0x3c1f6193, 0xe5bbbb11,
+    0x274ef94d, 0xa4a51079, 0x339ae3d2, 0xeff8fcd0, 0xb858cb09, 0x949166a2, 0x98d0c50c, 0x94c51c6b,
+    0x3b228cf2, 0x232b72f4, 0x434fd6e2, 0xac1dae4b, 0x03f23e08, 0x4067a687, 0x5d9852b1, 0x81857772,
+    0xe2e0b4bb, 0xf3d8b060, 0x3a3d65cf, 0x301c8a21, 0x2dbd5990, 0x6518557f, 0x1bf3023f, 0x912b302d,
+    0x9faf9e3c, 0x98b76c80, 0x232e1795, 0x313e842b, 0x8e966157, 0x8be2bd55, 0xf43be1f3, 0xf6312f34,
+    0x77e1e7ce, 0xe968b0e2, 0x202370d1, 0x3f9cf67c, 0xf9872bf7, 0x4bea502a, 0xc416d832, 0x889b530f,
+    0xac700e5f, 0x9f4f6d16, 0xf562e947, 0x579c043b, 0x2538c79a, 0x7308c272, 0x139b26dc, 0x3a6556fe,
+    0xa10d74f1, 0xbefe0b3e, 0x7073900d, 0xbb37ebd2, 0xbf761b3d, 0xdeb12161, 0x756cc753, 0xfac80a33,
+    0xab24bba9, 0x5486b6c4, 0x9e91848d, 0xc7f7f8d7, 0x99bf6fd6, 0x2f0762cc, 0xb3f5320f, 0x78cf6dca,
+    0x3741317b, 0x3dd02f43, 0xf920d949, 0x166815b2, 0x1cc55e18, 0xb50dd510, 0x0243c7d3, 0x6db95637,
+    0x5cf3bd42, 0x43907f4e, 0x70280eb8, 0x1f651e34, 0x25f8d132, 0x12087b2b, 0x29c94ec0, 0xb6b5d401,
+    0xe8777d40, 0x5dea8c0e, 0x33a720a2, 0x45f4a3f0, 0x05c20bea, 0xa2891fe6, 0x7d282001, 0xe758f31f,
+    0xa326ae88, 0x49a3714f, 0x002fe5cb, 0x7def8df1, 0x4519e5c0, 0x6d954bfb, 0x8f6bc050, 0xa288ebd2,
+    0xf63c469f, 0x748d43d8, 0x22974c9f, 0xfe9048b4, 0xf866dda8, 0x9359e335, 0x2c1b515e, 0xedc26614,
+    0x5602fd2a, 0x9f003377, 0x36c9a071, 0x54ebe072, 0x45e6428b, 0x4978ff5a, 0xa01c6e56, 0xdc629cbe,
+    0xb568d700, 0x79734726, 0x385057a6, 0x6b237f89, 0xae6dc596, 0x7816574e, 0xebd96ce7, 0xd0e806a6,
+    0xe0f56a7e, 0x0ea03745, 0x10aad96e, 0xef092153, 0x23214891, 0x49d59f08, 0xf9a64fd8, 0x68f5ed27,
+    0xcce3766b, 0xcd8ba7f8, 0x07884e17, 0x206b6911, 0xd5b0ee61, 0x1bffc022, 0x1308512e, 0x293754b4,
+    0xa11a43df, 0x8f8d9306, 0xa7263d34, 0xb1495b44, 0xd456be99, 0xeec32e3f, 0x1b3d0068, 0x068a57cc,
+    0x612e6676, 0x74689753, 0x7cd84b22, 0x3c2be62c, 0xe3763613, 0x53daac8d, 0xe022926a, 0xb7467826,
+    0x4309afbf, 0x3eb03734, 0x30ac07e9, 0x9db5f6b9, 0x66b84c3c, 0x5edac22a, 0x2a19cdc8, 0xeb81f656,
+    0x8e41eb54, 0xdbaf174d, 0x9ed7fab2, 0xc38dc327, 0x151e315e, 0x58d9d22b, 0xc3fec62f, 0x934a1008,
+    0x899dc18b, 0x13fd4d99, 0x61161f47, 0x22b05495, 0xac29b9a9, 0x1162c935, 0xd93def9a, 0xbeff8f59,
+    0x35594c23, 0x5291ec3e, 0xe5c68bd5, 0xd2c9d958, 0x174c27bf, 0xba9bbc26, 0xb96e7fa1, 0x70026769,
+    0xbaa16e47, 0xe56c99e6, 0xcecc2ca8, 0x0f5bcdd4, 0xa4de6259, 0x2e491c78, 0x65e7bec7, 0x35c45286,
+    0x1a121500, 0x057e5f7c, 0xe3b29831, 0x2d8947e2, 0x022c7473, 0xc9018c75, 0xf5c2a69b, 0x88db870b,
+    0x538f2ff4, 0x2f230ac8, 0xea0747dd, 0x2154040f, 0xa574a688, 0xd9424808, 0x64481623, 0x05c110c1,
+    0x04f9c35d, 0xa7523a54, 0xc6db63be, 0x9b94cfcb, 0xcbd2118d, 0xeddcb291, 0xf81910f9, 0xd0876309,
+    0x5418cccb, 0x5af6c7f1, 0x520d9a0c, 0xc4593bb3, 0x53cb18a8, 0x3048c4a9, 0xe837f8bd, 0x1fc83c1f,
+    0x555386e3, 0x9c61d881, 0xa2bd83c3, 0x37fb9055, 0x29e3621e, 0xde3d4c09, 0x090ce559, 0xbda1255a,
+    0x2ea5f7d2, 0x9141d04f, 0xa1f7626e, 0x0b3d45f9, 0x62228a6d, 0x97054923, 0x46b2a104, 0x17aaf66a,
+    0x91eac3ab, 0x84cffda0, 0x8e760734, 0x088e18bf, 0xbffe34fd, 0x1eb51840, 0x6f26d6c3, 0x5e845b38,
+    0xe94f63aa, 0xd90dd578, 0xdc6add8a, 0xbe20fd0e, 0xf8794b29, 0x5f891602, 0x7d27e497, 0x70b94ea5,
+    0x25a15b4c, 0xc799e34d, 0xca225664, 0x17e42897, 0xd10424ee, 0x8a24e223, 0x72121b4c, 0x403f5ff1,
+    0x3525d59a, 0xdaf1f6b8, 0xe9ec718a, 0xed06ae9f, 0xf071a2fb, 0x6d22ca45, 0xd99b073f, 0xf737b090,
+    0x3d85e4c0, 0x6e429752, 0x46a299dd, 0x550b9eea, 0x60d2e09b, 0xb7f61146, 0x7dab72b2, 0xd47ea547,
+    0x0e5e52b1, 0xca93bdc8, 0xcdf7f5ee, 0x0300e87c, 0x3a89af4a, 0x5c61369a, 0xcf6bb056, 0x8683c7a6,
+    0x636f402f, 0xa2b6a723, 0x9e4625d6, 0x22249536, 0x65932af7, 0xe5734e16, 0x991467ec, 0xb8b73694,
+    0xbb9b1bbb, 0xc80ff683, 0x23d2d232, 0xdf36d52f, 0x60a08733, 0x1c34ad29, 0x3826fcdb, 0x02897213,
+    0x1a6fcb5e, 0xe52d1918, 0xb074534d, 0x58bd4c2c, 0xeb49c449, 0x9055e196, 0x09d90781, 0x773e7fe2,
+    0x6d00b650, 0xee11e19c, 0xfde7830e, 0x76a71422, 0x53c067c3, 0x5a132a44, 0x8d72d361, 0x48a09523,
+    0xe97b694f, 0xb901b972, 0x3737837a, 0x6c802588, 0xaf42446e, 0x4c2d5f73, 0x775075af, 0x81b73a16,
+    0x256fa988, 0x2e1d0f74, 0x38920b61, 0x0e5ee576, 0xd02c905e, 0x45c2a07a, 0xe8cb2af3, 0xf78395e4,
+    0x4c1c3b66, 0x2be1867d, 0x77873f1d, 0x3d16bd8a, 0x85be30e4, 0xc4363ac8, 0x4276bd10, 0x1039f297,
+    0x1bef0460, 0xc9d19d56, 0x8d63736f, 0x40625e60, 0x7997f575, 0x5f8aa0ce, 0xcacf9716, 0x2a3ac187,
+    0x2def9658, 0x9b9739d3, 0xada4d97a, 0x6fe4d45b, 0xa2f255cb, 0x93c8e32c, 0x582e3082, 0xd509ee0e,
+    0xf89875ef, 0x9fe8186f, 0x8dd5dcef, 0x4ce55bf6, 0x8cb10ece, 0xceed1b0a, 0xc0ea1898, 0x84066846,
+    0x63ee35ce, 0x8e1257c9, 0x2e90a235, 0x8b521d7e, 0xf3d2876e, 0xa57f02a9, 0xde3bfaa3, 0x5cde17fc,
+    0x4af9f297, 0x5073876d, 0x8546b0df, 0x5e372b8c, 0xd872341a, 0x1f71c724, 0xb073412f, 0xded62c0c,
+    0x1266638a, 0xb17c1317, 0xa1ac9b09, 0x104be16e, 0x75ebe21a, 0x94c35179, 0xa732c193, 0xc8ac34de,
+    0x6b13683b, 0x23470676, 0xaf8226a8, 0xc6218472, 0x32270946, 0x18b66f4a, 0x80caeb74, 0x1abdc970,
+    0x3a443a9b, 0x42c13364, 0x88981a56, 0x333d0ad8, 0x3a822464, 0xe8b4cd7e, 0x0708cff6, 0x6067b6b8,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000394020061963944792122790401001436138050\
+                          79739270465446667948293404245721771497210611414266254884915640806627990306816 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966,
+    0x4d275403, 0x9098a562, 0xdc92a6fe, 0xfa30f4c5, 0xf335e042, 0xc455c18b, 0x83b682a9, 0x38a5e852,
+    0x00000000,
+    0xe575f9b7, 0x9d274c99, 0xc3a1a5b5, 0xad200ea0, 0xd753744f, 0xb2f7fac9, 0x1969a3d3, 0x37b7d314,
+    0xdf9221e4, 0xf37170f7, 0x27a9ee71, 0xf347a2a6, 0xc29ba224, 0x15cbce91, 0x90989238, 0x89ceb6cb,
+    0x7477dd3d, 0xb9fc1c34, 0x85a07016, 0xc5145b8d, 0x6652805c, 0xcbe93512, 0x4b9822ad, 0x719ba174,
+    0x7afca057, 0x4fc378f8, 0xa16f4de2, 0x26a81eb6, 0x7eb6080e, 0xa95db195, 0xc98f7a57, 0xf31fe877,
+    0xab0204dd, 0x1b1a9622, 0x9e766c96, 0x23ab6e95, 0xf6ad04e4, 0x39b97e80, 0xbfd4a751, 0x62067662,
+    0x95ba97ff, 0xab55a8df, 0x657112e0, 0x270d84b4, 0xf4c29c5b, 0x32be9610, 0x75d60eca, 0xd90e2d9e,
+    0x02bc6b48, 0xa4003d5a, 0x146c51da, 0x7dbfe6d6, 0x532514e1, 0xaeca8060, 0xab8d9ed9, 0x825345f5,
+    0x4ac20719, 0xd0fdc01d, 0x808a7719, 0xb30cff7c, 0x5b80a2c8, 0xfb162ab8, 0xd08ad29a, 0x275fa4da,
+    0x820181b3, 0x59c393e0, 0xfdf06d89, 0x7b7c6ee7, 0x4e2cea56, 0x42184355, 0x44e06d19, 0x193e2e1f,
+    0xee24f41b, 0x7708ab43, 0xc4593e42, 0x53fdd639, 0x1df57097, 0xd4fb03a8, 0xb7b744f1, 0x24755961,
+    0xcdca8bf6, 0x342026c0, 0x8e43d19f, 0xc256e4f4, 0x7cb52807, 0xc8ce642b, 0xa0d0bc6b, 0x60b0affc,
+    0x5203844f, 0x7a196b3d, 0xa9e42254, 0x59300d7e, 0x6365d188, 0x5f5ce757, 0x48c4083e, 0x53a78871,
+    0x0975648d, 0xb2e64d54, 0xb970e678, 0x490bfd69, 0xb164a4bf, 0x95a4a4dd, 0x08cb1430, 0x1fc2e959,
+    0x14666953, 0x355d2045, 0xf6c63502, 0x6b6e68cf, 0xf239a266, 0x6b382f01, 0x092bdf93, 0xa4e5b9c2,
+    0x49323db1, 0x581872c4, 0x51b1b7be, 0xc288201e, 0x5aa2a628, 0xf14a7ff7, 0x56b1d663, 0xf8716761,
+    0x8acbb85c, 0x7234df73, 0xcc9fb29d, 0xce69eb64, 0x22bfc039, 0x8a99e47e, 0x92fb75be, 0x5a8fd07d,
+    0x245ebfcf, 0x767f19f8, 0xc3f1b611, 0x63a5daef, 0x39199266, 0x1d39c23e, 0xb78e5d55, 0x80b5e013,
+    0x0133c559, 0x1fb72ace, 0x37f94ac4, 0x35b00603, 0xf82a952c, 0x4bdc682a, 0x18003bce, 0x2ed0b36d,
+    0x29b0e5c9, 0x74df2329, 0x9336ecb6, 0xefa19680, 0x0bc510a1, 0x8102d007, 0xc73e34e8, 0xa7ba75fb,
+    0xff526098, 0x0db41565, 0xf98e1ca2, 0x93ca1bc2, 0x0dce832a, 0x07301ae5, 0x6652ee41, 0x83714925,
+    0xc6cb773f, 0x5149df49, 0xd7c22cc7, 0x60824789, 0xaac81775, 0x26b5644a, 0x082e29ed, 0xf1bb9ec4,
+    0x94c1bfbc, 0x2d586468, 0x831ab11b, 0xbc929007, 0xd81974f3, 0xf575e0ba, 0x5e6d3949, 0x760b96be,
+    0x2aeffcd4, 0xe8bec872, 0x0c3e2856, 0x2ab3eb69, 0x6e5cd04d, 0x61d08cf6, 0xeb401217, 0x5cbceea4,
+    0x4af217dc, 0x5e62c011, 0xcc1e9a94, 0x6ff7a97a, 0xeae0c165, 0x7c810ff0, 0x95ec41ad, 0xfbf2d621,
+    0x9262a26d, 0xfec48bb4, 0xe348c273, 0x8999ddf7, 0x2630d5d5, 0x3827105a, 0xf1b94118, 0x5caae770,
+    0x14ed744b, 0x985c5b94, 0x1876b517, 0x47db888b, 0xf310af97, 0xbc8d0a5d, 0x3c203f55, 0xefc13f77,
+    0xc0b76913, 0x18748ff7, 0xf7a59c8e, 0xaebd84f1, 0x2b0ed65f, 0x10581187, 0x5965ba57, 0x59f680e7,
+    0x4cbbdb73, 0x86666aba, 0x823a6454, 0x574b9a80, 0x2784dd11, 0x69b67ac5, 0xb318ed54, 0x3c4e2942,
+    0x5a53036e, 0xd1d1c3b5, 0x908124ff, 0x95ede927, 0xbeae55c2, 0x030e5242, 0xd3d55c95, 0x02c1d395,
+    0xdcb822a3, 0xd197976c, 0x0f490cc6, 0xeaf6f5c3, 0x288f8c81, 0xe430fe92, 0xc102030a, 0x81d61d16,
+    0xb68e4e12, 0x17d6fa1b, 0x55657246, 0x81039a17, 0x8067ecc2, 0x384b9ed5, 0xc12f61d9, 0x2c61005e,
+    0x2c2e1c8b, 0x243180be, 0x4ef975fa, 0x01a544e9, 0x087a6289, 0x49338a2f, 0xd57ec62e, 0xa54c8d1d,
+    0x80f1696d, 0x43c8e666, 0x8cbbbb83, 0x9bc43c2b, 0x7605ea7f, 0x29d589b4, 0x37704363, 0x75daa6d1,
+    0xd3b2294b, 0x455b8de7, 0xfef1547a, 0x53dff6ee, 0x3b75e0d8, 0xd9dd5999, 0x960678bd, 0x6e90be80,
+    0x2abde37f, 0x83890e71, 0x2ea66a8b, 0x42829060, 0xac201a89, 0xec1a1e93, 0x013f4c9a, 0x4b757d2f,
+    0xf6675def, 0xd6a553ab, 0x0a4cecc6, 0xaa94cc35, 0x8d570e1a, 0x1c45377d, 0x9b6493f4, 0x23642907,
+    0xb6aa0612, 0xe6531a63, 0x72606508, 0x97b6ea24, 0xefa5658f, 0x744a9d70, 0xb2c2593b, 0xb52a9034,
+    0xf2c501b5, 0x93e6dc87, 0x5bbe5e30, 0x2a44a90d, 0xace0ea7b, 0x4ca8e80c, 0xc6a8daa8, 0xdbfb9b23,
+    0x799b7c31, 0xd1bb51d3, 0x7d565d7e, 0x750332c9, 0x62cf36ef, 0x9fe15d73, 0xa26791a4, 0x53b6b8cc,
+    0x611bb738, 0x0e17faf3, 0xa7ca372e, 0x4e350722, 0xbe5176a7, 0xa48b2358, 0x4e20759e, 0x009c3ca0,
+    0x3eb80e87, 0xeb515219, 0x66dea054, 0xe21acf1c, 0xec64459b, 0xcd71d362, 0xc8369354, 0x20bc1d5d,
+    0xeadcf859, 0xa50d26f8, 0xda2fd434, 0x363d91e6, 0x971f5441, 0x45f8e7ab, 0x683f1d4d, 0xef40b726,
+    0xbab0b32d, 0xe9fe3f58, 0xbed84e91, 0xc0308b62, 0xd3898134, 0x7c7bc55c, 0xf0fa6d0b, 0x9f4233a3,
+    0xe3d6ab73, 0x1d590c68, 0x653b8f12, 0xb662035c, 0x0d7d0849, 0xf44b4e04, 0x9aabf2fc, 0xb328c978,
+    0xe37ddacd, 0x7777f496, 0xbb5556eb, 0x93b03e4f, 0x5773d373, 0x2739e52e, 0x74150e61, 0x9ea4cddb,
+    0xdeb279fa, 0xed4874be, 0xf3af622d, 0x47383b04, 0xbb6a760a, 0x1b96b135, 0xb1453fd7, 0xe14f65ba,
+    0x0be8332a, 0x4a883663, 0x892cfa22, 0x493eccc7, 0x63983282, 0x1741c4c3, 0x5e20b4eb, 0x399ff238,
+    0x57a8486b, 0x91b93809, 0x59d5d95e, 0x60dc4227, 0x9d204265, 0x80a93afe, 0xf4652463, 0x2fbbf96c,
+    0xcf24241d, 0xc90bf50c, 0xd5668914, 0xb534b89a, 0x4f9ea51b, 0x0a5ccd8e, 0x2aa685f9, 0x5c0bbfa7,
+    0xf2ff38b6, 0x0af72ed1, 0x8712952d, 0x11a383e8, 0x131593f0, 0x0847d364, 0x1830aa7c, 0x6a031913,
+    0x8e3d005f, 0xa6976aa3, 0x5655ecde, 0x43e301a1, 0xba978123, 0x07814128, 0x4d292b1a, 0xc806dba4,
+    0x779f6bb4, 0xfb290ff1, 0xee65ad69, 0xa811a802, 0xa3351c15, 0x89613980, 0x16fb260a, 0x2f4ba0b7,
+    0xc2ba5d3c, 0xab17b115, 0xce1d320b, 0x978ce32c, 0x7dbde2a4, 0xe3c64324, 0x0d91bc1d, 0x53f72398,
+    0x06fb3884, 0x9c1ae870, 0x8e232597, 0x25e68bbc, 0xacf0114e, 0xfde112d9, 0xb5d1d531, 0xc15ed3b0,
+    0x88475918, 0x1178b970, 0x4a547890, 0xfb8ee756, 0x4a7fa9a8, 0xe45f40ba, 0x3806dcec, 0x2cdacadf,
+    0xfef8e50e, 0x9669d853, 0x5f2bdbaa, 0x69fcc933, 0x49b1824c, 0xa8e9304d, 0xef23bb92, 0xced9eecb,
+    0xad6fcb61, 0xfa554a31, 0x922c7baa, 0xb3af44cc, 0x0e5ac296, 0x0593f451, 0x2765f53e, 0xdbba4f66,
+    0x738422eb, 0x2e3476fd, 0xbaac52af, 0x81eab362, 0x8fac9976, 0x987b53b4, 0x1de76204, 0x3c886da2,
+    0x7056f133, 0x7e35cfc9, 0x805662e8, 0x7383f349, 0xad4e9bc6, 0x8f48eb18, 0xa632da94, 0x8631c17d,
+    0x802b8bb1, 0x543d2288, 0x40af359c, 0x68ab9197, 0x34ec6047, 0xbc1fa4b9, 0x758e2814, 0xcc62ade2,
+    0x3b105a96, 0x95a8952e, 0x432ad3f2, 0xc5115a81, 0xb52ab013, 0xc47e357f, 0x8a0ac88c, 0x07e42371,
+    0xd7c6c5d5, 0x7c0e8df1, 0x990408f0, 0x1dbe83eb, 0x24ed3165, 0xfb336328, 0xb491321e, 0xcba47dfc,
+    0x6a701c71, 0x3a6b5dc8, 0x931c80fd, 0x09d5fbbe, 0x9a47fe9c, 0xac4d587a, 0xde69441a, 0x7aaaf8ba,
+    0x7cabd925, 0x78a59e87, 0x412de113, 0x4e473c25, 0x8e04442c, 0xcfac0861, 0x7e3e6a13, 0x111d213e,
+    0xc5fbb4cf, 0x37aebb2a, 0xb918211d, 0xef51457e, 0x64460263, 0x60269e3d, 0x61c750f4, 0x4a9a1e9a,
+    0xaeed531b, 0xb0997af8, 0xc2d18b9e, 0x225174d1, 0xcced7ce7, 0xe3a9a98d, 0x40629fc2, 0x7c719766,
+    0xd7f09fd9, 0x0489657d, 0x5546da1c, 0x87051128, 0x34e9847b, 0x982464d2, 0xd8ab557c, 0xf7029ea2,
+    0x6a07e13e, 0x5fd29293, 0x203ee0fa, 0x8ed05ab8, 0x8eede9b8, 0x044cea7d, 0xd811739b, 0xe2550aa1,
+    0x1c46c7ad, 0x816d1372, 0x09264aaa, 0x547ac8db, 0xa2e613d7, 0x9567c78d, 0x86f5083b, 0x1d693c94,
+    0xe17f3482, 0xb6e2a28e, 0x679d3d15, 0x2cb22492, 0x58d734ad, 0x46c823b9, 0xdca121b1, 0xb5a4d904,
+    0x0a5f2884, 0xbbf42132, 0xa5d5622c, 0xf304b4eb, 0x129c16d7, 0x3808a359, 0xdf46784b, 0x83b1881c,
+    0x730207c4, 0x3dbb331a, 0xb421f40a, 0x3109f3ac, 0xb50bb9ad, 0x7b684060, 0xaf5c9cb1, 0x3f321f93,
+    0xba6d39ee, 0x503b5833, 0x54ac41d9, 0x8f25a4cb, 0x6dd0aa86, 0xa4179955, 0xa070e321, 0x8a3c5f4f,
+    0xcf0383f7, 0x7649de7f, 0xa1af85c4, 0xb1d53082, 0x930d64ab, 0xfab24731, 0xa4c147a0, 0x074b5f68,
+    0x9f646374, 0xc8b884b0, 0x029a4710, 0xa4a95a79, 0xa8f0a3ed, 0x040f97d6, 0x31f4bdbd, 0xd339b445,
+    0x9484a569, 0x404a6bbf, 0xc1b47813, 0x03a2a151, 0x0682928d, 0xf7d00581, 0x84128214, 0xb7d46a49,
+    0xb06970ee, 0xca5c4aa3, 0xf3af3ac2, 0x7153f22e, 0xec4b73f5, 0xc1eb9a56, 0xabc63e45, 0xdb7d32ce,
+    0x20bd2e6c, 0x79a8a43b, 0x8771f97e, 0x3329e502, 0x9f207caf, 0x973d792b, 0xe897a29d, 0xc4574860,
+    0x8a8bbb5f, 0x90fbe22a, 0x1be7b3be, 0x3b2548d1, 0x86fbc3cb, 0x3aa24c01, 0x4b1621d0, 0x251cee6c,
+    0x51768d9f, 0xbab1c66e, 0xfc41b6b4, 0xcde1fbe4, 0xeeeeba33, 0xd7497923, 0x13311a02, 0x7ad81105,
+    0xe10b17ec, 0xabb5f382, 0x3cedc0b5, 0xa4182a7c, 0xdd564739, 0xb88b8739, 0x454fe560, 0xba8e9d10,
+    0xce8d76b4, 0x015a318a, 0xd22ac826, 0x4c72544b, 0x768fcf10, 0x2ae3934b, 0x7fa826c3, 0x52e57816,
+    0xa33598f6, 0x7a7e9654, 0xdc7bde79, 0x49f6be25, 0x35e5cc0e, 0x436693a8, 0xd40c8840, 0x5a4d0d9b,
+    0x6363799c, 0x39e3199b, 0x071826a0, 0xa840b13e, 0x0465a641, 0x9d76a785, 0x6b33f11c, 0xc68e9cc8,
+    0xbe92e7ba, 0x8dc4193b, 0x1c81214a, 0x7e522241, 0x4c881b3f, 0x6bf62b7f, 0x62593983, 0xb6f6e1eb,
+    0x38b9fbfe, 0xd83d6bd2, 0x509e7d92, 0x664d8dda, 0x4fe61507, 0xc2a50ec9, 0xc583356e, 0x7fc42a4f,
+    0x2eeef914, 0xcf80a7f8, 0x9c545564, 0x5f773a53, 0xdfafdacf, 0xcfed5d68, 0x7646fae3, 0x870cfb9f,
+    0xbfb43d21, 0x39ff4f0e, 0x2ca2d95f, 0x2afed7d4, 0xafa37db2, 0xda393882, 0x568139cf, 0x96be8ecd,
+    0x231af5ae, 0xddcd1bef, 0xdc663c2b, 0xd99bf4a3, 0x2471150b, 0x4db697aa, 0x4008f99f, 0xfc2b5605,
+    0xbbb52582, 0x8fd7d827, 0xb05e7392, 0xea2b17b4, 0x818fc64b, 0x8da39b97, 0x10ef65bc, 0x0f4a3fe0,
+    0xfe23ede4, 0xb9f192e8, 0xcee07c36, 0x5c72fdff, 0x64b742ea, 0xc859b739, 0x0916774e, 0x015d8668,
+    0x4fecc4b2, 0xbafd42f3, 0x75288543, 0xaad5eda4, 0x990eb270, 0x5ccac5a5, 0xcd2f8cbd, 0x6f227ca9,
+    0xe0435893, 0x07eb6ce6, 0xde614770, 0x0dde2232, 0x6b1a61fd, 0xfd2d3593, 0xeb327b3e, 0xb2c5a558,
+    0x17455c95, 0x5574e383, 0xf9e97f53, 0x056d7588, 0x7843616a, 0xc620c974, 0x526b41ad, 0x29c984c7,
+    0x51c5b3e6, 0x836c77bd, 0xc0d127ee, 0xa41a7844, 0x4b870f22, 0x98ed0dd9, 0xa7143f05, 0xcbcd2a73,
+    0x5c457798, 0xd28dd0ca, 0x44189932, 0x3270a10c, 0x1e5daf2c, 0x49a7e0de, 0x36e910d7, 0x52876170,
+    0x01607a61, 0x4aff6e60, 0x81a02a7e, 0x2a79f735, 0x83fcafd2, 0xabb9cd4d, 0x03bed23c, 0x5304c3d3,
+    0x97d1ac3e, 0x60ff10dc, 0xe10b1ed2, 0xd8361a26, 0x5b803b68, 0xf9f51787, 0x39706216, 0xc47060ae,
+    0x94e53743, 0xf5950a87, 0xa1a682f4, 0x07a464f1, 0xb067c063, 0x3c52bb3c, 0x8929255a, 0xc3a8429d,
+    0x198d98f7, 0x9978d1ae, 0x79681e47, 0x41ff0a9d, 0xd81f1e46, 0x5c9fa9b9, 0x0a373cf2, 0x470af50a,
+    0xfd69598e, 0xdd2b3c6a, 0x8bd99faa, 0x53d2192d, 0x5841fe6f, 0xfc7059c7, 0xa50f801b, 0xa10fcce3,
+    0x8307d16b, 0x9246c35a, 0x2d2859d2, 0x09b074b6, 0x4bde6602, 0x3ffe6707, 0x96bbf629, 0x846ec302,
+    0x6d13e357, 0x0c7557f9, 0x9fb76744, 0xeee90072, 0xed008004, 0x9b472c1a, 0xdcf088f8, 0xd2899ddf,
+    0x4920c93e, 0x7cbdff99, 0x7087df90, 0xfc3c69dd, 0x290613d5, 0x2ddcacdd, 0xcaca707d, 0xf50f66da,
+    0x35db1fd5, 0xcdf5f85c, 0x17e1216c, 0xe159ebb5, 0x9d826686, 0x2a2917b0, 0x10c70161, 0x83ab4493,
+    0xd01f7e7a, 0x5b59d823, 0xdd5579be, 0x53a9ba33, 0x16693111, 0x86f90578, 0xea2e45e5, 0x112d59a1,
+    0x1529f608, 0x641cd550, 0x44cfb2a2, 0x41756897, 0x24ebe2c9, 0x5a72b10f, 0xeb8fd314, 0x9e1128fc,
+    0xe4ad472f, 0xa517b03e, 0xc9dc0f0e, 0x2394cfae, 0x648b0f90, 0x92713758, 0xecb43ced, 0xe6285735,
+    0x3f339456, 0x971b42dc, 0x32838eee, 0x0b3a6d6f, 0x1c0925df, 0x5885072f, 0x85925c65, 0x655eceba,
+    0xf837141a, 0x39b33199, 0xb2c2fdc9, 0x8e1dd237, 0x4b64c58a, 0x747c16d2, 0xc67845d4, 0xe81b6a8b,
+    0x626f5241, 0x00cf7de4, 0xb1e21a44, 0x53f32db9, 0x5767f130, 0xee8be293, 0xbb1a2a7f, 0x91168b60,
+    0x08eb1cad, 0x41f19564, 0x769ead40, 0xbea01e63, 0x47bbecf4, 0x7a398b76, 0x13b9eb9e, 0x842f1fae,
+    0xd15f26fe, 0x0f337014, 0x4ac1bc39, 0x3b808779, 0xbb4d0ac8, 0xaa6de753, 0xd20159f1, 0x2621ac75,
+    0x0a38e1c1, 0x4788fca8, 0x120e34af, 0x5d1da5ec, 0xf4a9754e, 0x1b270005, 0x1d690e75, 0xf015e4e0,
+    0x6707b7bd, 0x84024a6a, 0x7b77bfc7, 0x931ffc8f, 0x11866b8c, 0xacbaabf3, 0x75c887e7, 0x43f0119e,
+    0x1a354f2f, 0xbe66b2a0, 0xefac387d, 0xa0925945, 0x24a3df34, 0xd3bfe03a, 0x267b88a4, 0xf583156f,
+    0x0b5a6f87, 0x1746542f, 0x9e91ef99, 0x1e8540b6, 0xd9403b63, 0xfeb0138e, 0xac7450f9, 0x7d8fe419,
+    0x98db34cf, 0xef118e2d, 0x1ae25e12, 0x1fddae75, 0x22288cf9, 0x1789ade2, 0x772d1795, 0xde9d9850,
+    0x60af5830, 0xddf2b5e2, 0x3071f887, 0x52f4822e, 0x04fc704c, 0xdc93dc1e, 0xffc5493e, 0x7c7a0fa0,
+    0x77c9f756, 0x0d05e793, 0xce42197a, 0x39dfebc0, 0x67ec4b85, 0xde72578e, 0x323cfcf5, 0x73e1def1,
+    0x58fa87b7, 0x652c3cd1, 0x7cee5bda, 0x1987f328, 0xc31dac2f, 0x43f0d3fa, 0x363ba305, 0xa229b7c2,
+    0x342c0717, 0x6a6b6903, 0x026a3ee1, 0x912d1246, 0x0fbb6a56, 0x4ce4a2bb, 0xd8a7fd09, 0x01de36e8,
+    0x046eb689, 0x9cfaa4a8, 0x982d8412, 0x759d4bea, 0x6805eeaa, 0x4e741478, 0x2d7997ed, 0xaaaceb21,
+    0xc56ce36f, 0xe7e325d6, 0xb9077732, 0x01af56ee, 0x5a47c2de, 0x4cf5118f, 0xd5469289, 0x40594053,
+    0x6f750c65, 0x068f7f16, 0x7abb783a, 0x46d8eecb, 0x97a73434, 0x43374755, 0x38d30b05, 0x86bbfd27,
+    0x6bf02248, 0x7ff72897, 0x11ed71e6, 0xf95fa69b, 0xaa907774, 0xc5e74d75, 0x04155daa, 0x28a18a23,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000197010030981972396061395200500718069025\
+                          39869635232723333974146702122860885748605305707133127442457820403313995153408 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3,
+    0x2693aa01, 0xc84c52b1, 0x6e49537f, 0x7d187a62, 0xf99af021, 0x622ae0c5, 0xc1db4154, 0x9c52f428,
+    0x00000000,
+    0xf25e107a, 0x73650934, 0xfd7ce997, 0xd23de610, 0x06d8d2aa, 0x8e301774, 0x53d0d5fd, 0xfeebd3d6,
+    0xfd51543d, 0x7fc1eea6, 0x026a347d, 0x30656b9a, 0x79b299b7, 0x041359c2, 0xeb5127ff, 0x9681db8d,
+    0x2670c88d, 0x3f98578e, 0xc1b63d1b, 0x46b3fb85, 0xf5b99826, 0x93dedccf, 0x6eb65c7d, 0x7d8f725a,
+    0x988ff619, 0x81426dd8, 0xccd4eabc, 0xbe0f0460, 0x5524c6bf, 0x5cfa7f07, 0x788cc1c4, 0xc42dfd14,
+    0xf61ef834, 0xdbee9f65, 0x0e92a146, 0x7896ceaf, 0x63dc9689, 0xa65077ac, 0x0c40e67d, 0x3c130691,
+    0xf053e265, 0x2293c93c, 0x70a22d9e, 0xd7df4139, 0xea1ed998, 0x95b3038f, 0xc2f75ad7, 0xb57776e6,
+    0x1b6dc0a0, 0xa1099a81, 0xecf2f005, 0x94afd1bf, 0xcb53a497, 0x00e61a75, 0xd84df031, 0x3693d54b,
+    0x89f80a5f, 0x444159a7, 0x0928df87, 0xa9faeb50, 0x024e908e, 0x4bc23746, 0xbf67cee4, 0x8390337f,
+    0xd6519538, 0x3b4bd0bc, 0xa796ef00, 0xe904d807, 0x730bfd94, 0xa4908c2a, 0xbac43fe7, 0x2e882b95,
+    0x4e93d515, 0xf0980254, 0x67cd55b6, 0x4cb7bc94, 0x36440089, 0x007cfbb5, 0x5594bee2, 0xcdf815f2,
+    0x738e1193, 0x57c054c4, 0x0739c891, 0x1ee7ba8e, 0x1b743780, 0x6b8773c4, 0xc0f22a67, 0xc866f366,
+    0x872bcce3, 0x10f911be, 0x3350c2af, 0x83c6dc01, 0x7dd40437, 0x9d73cd4d, 0xc79ca5e8, 0x27b94d41,
+    0x0912be57, 0x836e677e, 0x708213aa, 0xdac37626, 0x1955e46a, 0xca77f9bd, 0xb17cc536, 0x0bc0cbb6,
+    0x6d2a6d9d, 0xc434c46e, 0xc16ac6a2, 0x51891b20, 0xf7e84bc0, 0xcca87126, 0x2b339b81, 0xb8a4a963,
+    0xa39951ff, 0x66250683, 0xb5bca8a2, 0x9218f261, 0x51a18aca, 0x1ff38b93, 0x8e0e225d, 0xadd319b3,
+    0xd69ee48a, 0x76618357, 0x52e1ba0d, 0x3fe2cf53, 0xbf7c0eaa, 0x25711f63, 0x7d18f7dc, 0x8c5417fa,
+    0x728aad6c, 0x6966e455, 0x40b4d9ac, 0xfeabcac7, 0x79e1a1e0, 0xacc17fa8, 0x80ebcee6, 0xaae47bc6,
+    0xfe515083, 0x7b2345ed, 0x61fb54d9, 0x9d2778f6, 0xf842fff2, 0x7957ceb0, 0x6b200501, 0x682cf822,
+    0x391b12f5, 0x62d20348, 0x1b2f4b06, 0xf76f9d7a, 0x6ec96dee, 0xb33960a0, 0x690ceb1f, 0x6b48d4af,
+    0x56407d71, 0xbf4ad0ca, 0xb33b2aaf, 0x37b32f4b, 0x549c4f28, 0x46f0d33a, 0xdc7004eb, 0x85c7f1c6,
+    0x4b8e61a2, 0x880df612, 0xba599c6a, 0x0ecf6ccb, 0x1dfc299c, 0x71460cf6, 0xa06a1386, 0xbc866ff5,
+    0xe951eb65, 0x9ccb1ff6, 0x5e8f1383, 0x78090e1a, 0x82dc944c, 0xc9fc6abc, 0xbfaab705, 0xf13f041a,
+    0x1809a69d, 0x6a27b578, 0x8fe58448, 0xa0338554, 0x75f5ad75, 0x5334fa69, 0xa8585fac, 0xee1a9c52,
+    0xac2308e5, 0x5f009f80, 0x8acfbe34, 0x36c4ca88, 0x75cbbffd, 0x866b3ae3, 0x619e01d7, 0xf95433d8,
+    0xdb8d4b99, 0x944c89ff, 0x9a8073e9, 0x859ab443, 0xe306a8a7, 0x17d0d514, 0x21d60d3f, 0x9fb9c3e7,
+    0xf6ef8c40, 0xb38016c6, 0x8c384543, 0xab6ff4e1, 0x02df40fa, 0x4c6e8daa, 0x4e170e10, 0xe6c7fe2c,
+    0xe6439123, 0x4e8839a7, 0x6cbeea60, 0x03cb0b5f, 0x3ab86bec, 0x9104f090, 0xc86d254d, 0xc76457c8,
+    0x11bf7c54, 0xa7a2926f, 0x405fa23a, 0x1f0c22a3, 0x4e20210b, 0x19129c0a, 0xd368b4f4, 0xe3d99b61,
+    0x27ef2ef0, 0x54a5a58c, 0x05a04e92, 0x56906401, 0x63f646fa, 0xe2cdbd4c, 0x9a83d0e2, 0xc5c3d374,
+    0x26cfedf8, 0xe174e9a2, 0xeabb966d, 0x09b849b7, 0xd006cd37, 0xf2e6b777, 0xe9cb2003, 0x330fce25,
+    0x1e88ff34, 0x257c0156, 0xd4be97d2, 0x04f0aeb2, 0x059ddd3b, 0x96038a88, 0xefd355c2, 0x7a5cbac9,
+    0xa55edc24, 0x584e6ade, 0x8bec272d, 0x33d4e492, 0x66a83d78, 0x0da8f42f, 0x7701703d, 0xacb3a855,
+    0x7b26070d, 0x62c31923, 0x9e9b4223, 0x34d513c2, 0x51433391, 0x1e530974, 0xcdbc4a48, 0x5ed4a9e0,
+    0x5fed0810, 0xc5c0ed00, 0xb5fe0c64, 0x51cb6bcf, 0xca52f00a, 0x06ddcc4d, 0x41bac438, 0x7040fd13,
+    0xcbdf0a11, 0xe5a72e87, 0xa551e3cf, 0x78b09ab3, 0x88c5c646, 0xefc85a09, 0xb5716283, 0xd58b6377,
+    0x4120d266, 0xf5ea1065, 0x0aec6650, 0xdf2e1df6, 0x47fcc160, 0x90e51ad1, 0x7ff3a04c, 0xdf4688d4,
+    0xa57733e7, 0x2d3d0a84, 0x45494247, 0xf5743cff, 0x41a0c1ca, 0x6675f515, 0x9dffbeba, 0xc00bad31,
+    0x5a2b95a0, 0xbd6afe20, 0x47110107, 0xb85647f4, 0x896ba448, 0x88915f5b, 0x61f6f307, 0x26bef8a8,
+    0x0bd12de8, 0x9a33fba4, 0x23ba4d23, 0xee02ff34, 0x5a546c36, 0x10988bae, 0x0636c7ab, 0xa3f17293,
+    0x18e1a4c5, 0x9a97a174, 0x0f7728ff, 0xe925c54a, 0x639052e4, 0x919a4dff, 0x83197bd1, 0x98a8d0fe,
+    0x85196ae8, 0x87833cc5, 0x1eaffd26, 0x4b41136a, 0xe752e583, 0x4e508d95, 0xbbe66753, 0x583041c7,
+    0xad4c782a, 0xf845951f, 0xfa2b8249, 0xa887c1c3, 0x56e94f44, 0xd6a500db, 0x19e32b49, 0xd040071e,
+    0xe6ef71da, 0x6cf21197, 0x30d2167f, 0xea73f13e, 0xec6cc7e8, 0xef32c35a, 0xf46a8f2b, 0x32be0fd2,
+    0xbc0cc622, 0xe19c745f, 0x9147790b, 0xf5155c69, 0x24cbe897, 0xb6ab3d36, 0xd6cb4ed4, 0xaaff3688,
+    0xbaeb3e02, 0x305e04c8, 0x2460ebf5, 0xf40238e2, 0x5ec07661, 0xf64dbefe, 0x0586efda, 0x640b7aad,
+    0xffdd7647, 0x44e34b88, 0xd4ae4bad, 0xfd176677, 0x52a4d9c9, 0xab02dccf, 0x07ee6c07, 0xd5d0a9dd,
+    0xd5dd8eac, 0xaa55483b, 0xe918fa39, 0xb94d932a, 0xd6bdd4f4, 0x2020652b, 0x4d1efcb0, 0x30b47326,
+    0xdf2772d5, 0x9100ac6b, 0x5a2482e5, 0x0c8b658b, 0xc96e5b8b, 0xa104fb7b, 0xe9ebbad5, 0xe2993644,
+    0x766c5949, 0x61574d0d, 0x2aba501e, 0x939f672b, 0x37725b56, 0x46585344, 0x8a99e3b2, 0xfe0d316c,
+    0xe964d523, 0x3e40b90b, 0x00700c41, 0xab1caccc, 0x16f0045b, 0xaffeb8d3, 0xab0e5470, 0x18beae1f,
+    0x9929ad97, 0xd60b565d, 0x67daf864, 0x8863d2cf, 0xce6c136d, 0x010b6fd2, 0xce245f02, 0x2f872d14,
+    0xd832a2c9, 0x7a824a42, 0x40a06adf, 0xaba03208, 0x2be5bc2e, 0xc43b2e83, 0x7f659138, 0xd59165b5,
+    0x3596eeb8, 0xc0f522cf, 0x20d46f4c, 0x7a7edd4f, 0x77b664a0, 0x39ddd246, 0xa4fd0396, 0x9e511356,
+    0xdbf83e61, 0x410d7fb8, 0x2f9e55cd, 0xbe8818d2, 0x32fb632b, 0x36f70571, 0x60ef688f, 0xc4072d8e,
+    0x7aabfe7c, 0xc0a26a8c, 0xdf857020, 0xee2230b1, 0x2c5736d0, 0x7ad3a4ec, 0x2aeda259, 0xf087e2e4,
+    0xd405757a, 0x45f5dd4e, 0x9594ea3f, 0xdea9a2d8, 0x6a8d029c, 0x5441e7be, 0xec158830, 0x192e18c7,
+    0x53686179, 0x36c4450d, 0xe3ebb43d, 0x24627dba, 0x40a1f29d, 0x0910b486, 0xcc2e2f97, 0x68ce4893,
+    0xb6bfafc7, 0xc6fac852, 0xaa80830e, 0x7e620cda, 0xafcf9cc2, 0xba5f0539, 0x2abbc748, 0x33e1484e,
+    0x40347a80, 0xac287077, 0x842073db, 0x035deeb1, 0x9b9a142f, 0x6ebf3541, 0x5ccaae40, 0x3b3eefce,
+    0xc05c1347, 0x00a0ac3a, 0xc16f68d9, 0xa83d6b40, 0x2f2d9244, 0x070c219e, 0xc35218c0, 0xefaba1f7,
+    0xcebffb0c, 0x9417f974, 0x4b885d7e, 0x98d5f929, 0x2f9fc2f6, 0x3a2d6bc1, 0x37115653, 0x6f31c7df,
+    0xaf922416, 0xd827f11f, 0x7ed2d8bd, 0x8a046f32, 0xd8bc5eea, 0x3d04ef78, 0x01c1af0f, 0x9b309cf3,
+    0x2e647e7d, 0x54b8a5b2, 0xae2c0e9a, 0x00c8d8e4, 0xa8817f45, 0x5d08fa17, 0x890a9093, 0xc2a0c8fe,
+    0x521e11f7, 0xa55a177f, 0x95a106ec, 0x48d46d9c, 0x2bc8e0ec, 0xa66f372a, 0x5128ee63, 0xcf2c8c3e,
+    0x6da1a47a, 0x0b2e5109, 0xdf2a07cd, 0xc926aa79, 0x3bacc920, 0x184f2113, 0x210c5936, 0x15415f28,
+    0x01f8cbff, 0x288e324a, 0x613c4e81, 0x4416aa67, 0xbeac133c, 0x7849e524, 0x92258192, 0x68cf6e1a,
+    0x93c82d90, 0x9ae303a1, 0x601a03dc, 0xe122ae11, 0x6a4f43f2, 0x983e24cb, 0x813b080c, 0x39d5d0b2,
+    0x997b2596, 0x15556b47, 0x00ea7a5e, 0x9ff53e2a, 0xafd77d14, 0x3d372ead, 0x18eeea2c, 0x90ba0008,
+    0xcf3b9843, 0x036f1019, 0x88b58303, 0xf18a8092, 0xea1f106c, 0xbf96ba7e, 0x76e1448a, 0x066ca5f4,
+    0xc7fe65da, 0x0a406032, 0x16c1a5f0, 0x757520b8, 0x0e6adbd5, 0x023c672e, 0x9f2a1a27, 0x357ec456,
+    0xfbb25e58, 0x0a1e3d39, 0xd3eb3082, 0x0d258ffc, 0x35ec0b67, 0x78f1dba1, 0x96cc6bc9, 0x53d17ef7,
+    0x5d1073e4, 0xcdc34a7b, 0x26faac18, 0xa747456f, 0x11a51103, 0x347f6b5a, 0xf3ab792b, 0xc64e4abd,
+    0xfb8e64d8, 0x46d37946, 0x80a71e3d, 0x1ac07616, 0x8b027a37, 0xd9f5ef09, 0x46227b6f, 0x458b2fbb,
+    0xae0373b5, 0x9fb5c73e, 0x923d605f, 0xc8a4d9f3, 0x0055782c, 0x9720b12b, 0x618ef59a, 0xcc0cc764,
+    0xe7b765c0, 0x7c82cb6e, 0x17de9deb, 0x5dd1f182, 0x6fd38c48, 0xced93dda, 0xc5c68574, 0x8ad12a63,
+    0x15667d5a, 0x42929306, 0x597c9b30, 0xfd5ba4b0, 0x69a13381, 0xd639a9a2, 0x727718c4, 0x61438d95,
+    0x31adaeb2, 0x8ce8fb2e, 0x92a80b7f, 0x8489eb09, 0xd1f9a795, 0x269df010, 0x07f9eefa, 0x93ca521c,
+    0xdcaa00d5, 0x9b506d2b, 0x7f99d5af, 0xbd0f1604, 0xb5d232e1, 0x67c7ad6c, 0x6b8f4c1f, 0x23bf6bcb,
+    0x2d1164b0, 0x55963d47, 0xf58a7fe6, 0x45e89593, 0x1288775e, 0x75f26759, 0xa77c60ef, 0xc3e3ae90,
+    0x078506be, 0x8d51d01b, 0x6c612d7a, 0x12db9938, 0x21c0561f, 0x6ea1ea09, 0x5fd2dc78, 0xbca0db6e,
+    0x8138a96f, 0xd0e7bd6d, 0xb621ce3b, 0x49a30e4d, 0x6ba42e82, 0xb02ee1c0, 0x6a6f16dc, 0xfc8e68ee,
+    0x07b3bbd0, 0xbe09dad3, 0x4aff01c0, 0x5ffef9f6, 0x1cad37f8, 0x47b8f2ab, 0x0e285f3c, 0x6df3b846,
+    0x3636d56d, 0xa2918034, 0x37bfa638, 0x7c479811, 0x5738da18, 0xc9cdbcad, 0xf8d27200, 0x3ad8ba95,
+    0x00cf6afd, 0x1e751315, 0xae5bae7d, 0x3bcdc7a5, 0x5f694176, 0x3c162f16, 0x949a5025, 0x3e7edb4c,
+    0x3c5df04c, 0xb2302fa7, 0x85d35b5a, 0x09c54fe1, 0x50fe9a16, 0x331c540f, 0xc40905bf, 0x72e9e70f,
+    0xc4b24692, 0xabca0729, 0xb9d3eced, 0x55a2e91f, 0xea4bf7af, 0x2ae40d24, 0xf9114c97, 0xb632a6f6,
+    0x7dec29dd, 0x53fdf26c, 0xcdde01b1, 0x9e028d97, 0x87e1792a, 0x2468759e, 0x88a91f51, 0x7c0dae25,
+    0x332d2072, 0x553dc9fa, 0x44acc162, 0xf8a4d50e, 0x14bcbd85, 0xd446a761, 0xfbd04080, 0xc3d11be7,
+    0x6a47fc9f, 0x001bbdc2, 0x9b7fafcd, 0xfe5ea977, 0xc0fddeef, 0x4b0e01b6, 0x295c5d48, 0x1a2ac3f0,
+    0xfac40fdc, 0x2a608f79, 0xcee4d9d1, 0xd7364f12, 0x767612c9, 0xb14e2fce, 0x3c5d63cd, 0x0adf4449,
+    0xf31cf206, 0xff3655d2, 0x91c1f4e4, 0x1ddbbb19, 0x52cc03c3, 0x79e64745, 0x68eee582, 0xaffaf9e1,
+    0x231860ee, 0x2477edc1, 0xc6408f4d, 0x873678be, 0xa856fd0b, 0x985ef58f, 0x19822685, 0xaa1ca37c,
+    0xae45210c, 0x68014913, 0xe950b41b, 0x6d5be7b0, 0x843f9c5c, 0x3850f4f0, 0x24e312a4, 0xdaa7d0ed,
+    0x9cc01d9b, 0xd8bd2fdf, 0x00472da3, 0x9fe18ba2, 0x9f83768e, 0xfe38480f, 0xa129b877, 0x442d884b,
+    0x606b937e, 0x8c657fd5, 0x21f865cd, 0x041142b6, 0x73b97a80, 0x1c5939db, 0xf7f34df3, 0x7341de0c,
+    0x3e671546, 0x655f68b1, 0x8993699d, 0x7b41c2cb, 0x34282b1a, 0x272926fe, 0x33c73660, 0x2f7ab06a,
+    0xfe6119cd, 0x4773c4dc, 0x1b79474e, 0x541365b4, 0x50c8806c, 0xf1b00d77, 0xed395425, 0xa3ad9057,
+    0xe374aa51, 0xfd6992e4, 0x1e0b6aa9, 0xf051dfca, 0x036a57ad, 0x3fa30699, 0xa29b8e10, 0x3b6c209c,
+    0x2a77b357, 0x564c6bf7, 0xe70a006b, 0x9567d07b, 0x8b543028, 0x04d74704, 0x8728d3ab, 0x55119b84,
+    0xa8b3bf89, 0xde9ac999, 0xe213bec7, 0xa7f0a485, 0x3cbded4e, 0xfed4ebe7, 0xa3ed16a2, 0xd9969740,
+    0x3e4cfad2, 0x186ab015, 0x7dbf86a2, 0xa949909e, 0xb3b0b0db, 0x1c898672, 0xdb751e30, 0x9676ec69,
+    0xa9e926ee, 0x2397f661, 0x7b2d0a15, 0x10231e51, 0xcddaee91, 0x87b5e743, 0xe31a1aea, 0x4efa0907,
+    0xdfe7797f, 0xbdda1189, 0x93408ea4, 0xf2f9cdda, 0x8b94dc8f, 0xeff518fc, 0x00437a2d, 0x70b406fd,
+    0x20d30739, 0x08842923, 0x1c1ead3f, 0x9a5590a8, 0xa7dab9e5, 0x9b5c3284, 0xb9e8a111, 0xe56945c6,
+    0xa9483e52, 0x4b8b362b, 0x2edf3029, 0xa7843a08, 0x2c5d6cef, 0xf8a6bd64, 0x44d55a6c, 0xaa4520fc,
+    0xd4e9864a, 0x41feadf7, 0xb308e211, 0x4a0d886a, 0x761235ca, 0xdce0a777, 0xce434ea2, 0x488fc44f,
+    0x613a1ff2, 0x0d6da97e, 0xd7561a18, 0x6a525a76, 0x2ccccc93, 0xf49ab8a7, 0x0054f6dc, 0xca5e9514,
+    0x44fb83a5, 0x7fad7556, 0x25a4dbea, 0x935b9af3, 0x681001bf, 0x340d05f6, 0x51db3a29, 0xa7fd1f21,
+    0x08e85c1a, 0xf611f601, 0x3a578995, 0x9f7722fd, 0x94342fbb, 0x86d13d51, 0xe50f7c84, 0x1d7be976,
+    0xf81a6366, 0xcae757be, 0x0f606e3d, 0x735bf3aa, 0x01700edc, 0x35b8057c, 0xd98d129a, 0x5204944e,
+    0x47b39da4, 0x8dd12113, 0xb8a527f7, 0xba81f4fa, 0xf0619598, 0xaf834e0b, 0x44817d8e, 0x63581f3c,
+    0x22c477af, 0x4922671f, 0xf8e15918, 0x085d0e0c, 0x7d351f36, 0x47433e9f, 0xf1bf63ee, 0x5d261871,
+    0xf954c902, 0xd0a3fd70, 0xc7ecdc96, 0xf8a71856, 0xfef833f1, 0xe643d97e, 0x4cdc7934, 0x06c5d5f0,
+    0xa1145cfb, 0x8fbf7bde, 0x3c1867ee, 0xffa4b3f3, 0x81cdbf14, 0xa7fddf27, 0x8eb483f4, 0x72e04682,
+    0x27aad058, 0x19ec518e, 0xb9a11774, 0xfa8faaad, 0xe103dc01, 0x7c69e8d3, 0xc422d649, 0x3ae4d932,
+    0x7e342063, 0xa7a5624b, 0x53a19544, 0xd5d6b81f, 0xa8b1bf79, 0x1c0fc11f, 0x4a73d7e1, 0x323fa4cc,
+    0xf2b82969, 0xcbee97b2, 0xc579882d, 0x13cd4390, 0x6059d32d, 0xbdaabfe2, 0xe378d6bb, 0xc1e4f83f,
+    0xa8329aeb, 0x50635f70, 0x5ef42983, 0x490740ff, 0x4b1da2b3, 0x64ca3580, 0x87efa2ba, 0x463647f2,
+    0x7094f498, 0x1d0d0f00, 0xf5d6a819, 0xfd7bef87, 0x30181d2f, 0x48ad547b, 0x7264432f, 0xa59584fd,
+    0x47fe0a82, 0xe32169c0, 0xd7bd05a1, 0x866d8d33, 0xae0d2c78, 0x05bc039d, 0x9eee89f6, 0xffc9e753,
+    0x12f57028, 0xd008b8b5, 0x754d60b2, 0x9f053b88, 0xd2cba629, 0x625ff4aa, 0x3a0c65ea, 0xd2d8416e,
+    0x2085f3a4, 0xc855555f, 0x2e29fddf, 0x4689820c, 0x57379a32, 0x3da7682d, 0x106dc085, 0xaf12f99a,
+    0x002a984c, 0x1017a1ee, 0xbef1ba3e, 0xbfce6167, 0x9402f8a1, 0x2c4c9b4f, 0xa18ad1f9, 0xc6f753f9,
+    0xfb33955c, 0x938f99a2, 0x23c172f1, 0x27743513, 0x2d90beb3, 0xa5e04bb3, 0x93a5cf62, 0x5214d12f,
+    0x6852ec0f, 0x76644fa4, 0xd011bf37, 0x6e2e913a, 0x6e94cc76, 0xeaee229e, 0x0248bc69, 0xf5c89d12,
+    0x7912f2a2, 0xb77d3b24, 0x49556682, 0xa7e22a39, 0x17104071, 0xe9f9ec67, 0x7fa9b122, 0x951af527,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000098505015490986198030697600250359034512\
+                          69934817616361666987073351061430442874302652853566563721228910201656997576704 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259,
+    0x9349d500, 0xe4262958, 0xb724a9bf, 0xbe8c3d31, 0x7ccd7810, 0xb1157062, 0xe0eda0aa, 0x4e297a13,
+    0x00000000,
+    0xf9172952, 0x3fb71343, 0xdc01e4b4, 0x8d25d1fa, 0x35dd3318, 0x4b2aa155, 0x267c85cb, 0x3116aa4f,
+    0x72e66bb5, 0x4edf256b, 0x28568fad, 0xac8211a4, 0xc8af32f6, 0x63fcd0ff, 0x90927d53, 0xbb9a0be8,
+    0xf4850e01, 0xacef8d66, 0xd302a74c, 0xc25af226, 0x2af5d836, 0xd6d03f32, 0x9a5ddb37, 0x533420de,
+    0x217b5115, 0x47aa9adb, 0x5b4f9d5c, 0x0a18b379, 0x1f5f184a, 0x24f4d3de, 0x2cef66bc, 0x9463bd96,
+    0x4e70101d, 0x30eb3de6, 0x61a659fc, 0xdcf1ea06, 0xf54fb0e3, 0x7ef882b3, 0x0e5f6bbe, 0xa87d4a8f,
+    0x145f4407, 0xcf5041a9, 0xa71a47b2, 0x23eeb121, 0x6f98a4e4, 0x0bd8308e, 0x83638278, 0xb9edb354,
+    0xa1e4d9bd, 0x9affe6fd, 0x12fa1379, 0x9e769b99, 0xaff3f516, 0x2a9c9e12, 0x33e97b71, 0x6ea8ac5c,
+    0x0fd110c1, 0x1e8f29b4, 0xf55f3617, 0xae33c4c9, 0x4beb4761, 0xbfe94536, 0xae8c4453, 0x1d0d07f8,
+    0x634e6e58, 0x812b1b19, 0xaf090bb5, 0xc0ce1983, 0xe1186924, 0x523a8f43, 0xa98e976f, 0x94461831,
+    0x6fef52d9, 0x92f5410e, 0xbaa3dabf, 0x3f903b09, 0x54492e74, 0xb3cb7867, 0x9d07681a, 0x999cd998,
+    0xb3632b02, 0xccc03f96, 0xc02d47c8, 0xa3496c26, 0x82f0e28c, 0x99dc8444, 0x5ed5b237, 0x11162586,
+    0x64bd080d, 0x605db513, 0xaae86cea, 0x6532d563, 0x7ab9e856, 0xa4b9cf00, 0xc7168fb6, 0x5abaa206,
+    0xaf1bca19, 0xff988edd, 0x7d9cf1ee, 0x1485eff1, 0x634c2a8e, 0x03e72b61, 0x3e532594, 0x136da8ae,
+    0xfae0b593, 0x9158f28b, 0x40294c70, 0x7f2ea5e4, 0xd8b77b3f, 0x5f851c6d, 0x3b345c1d, 0x8177926c,
+    0xb812409e, 0x299491f6, 0xe8ea179b, 0xa84d8108, 0xd8c33dbe, 0xc63705bd, 0x6c3dc55a, 0x6935d760,
+    0x61a7d549, 0x87724cb1, 0x733245c5, 0x47d42272, 0x5c17b52a, 0xa6c34ea6, 0x8ab922fc, 0xe9086089,
+    0xd390e80b, 0x1fa108cc, 0x6c9add3e, 0x50fa0b9b, 0xf84a4786, 0xefee8422, 0xfdd758e6, 0x540f3e78,
+    0x07bae658, 0x30153cf1, 0x5fcaa482, 0xe598a5e4, 0x34ef495c, 0x974ec30a, 0xfc235063, 0xc4cde3a7,
+    0x883a1ee2, 0x9f0e0bb2, 0x35930db2, 0x311942f4, 0x82d71dc0, 0xd627b6d1, 0x7c75541f, 0x3ef257d2,
+    0xaf4f276f, 0xfdd9345d, 0x52b80ab8, 0x0e28ea0d, 0x4e4cec71, 0x60e50efc, 0x4a6a31e6, 0x8644a823,
+    0x946bd743, 0x56ddd504, 0xbe3834a8, 0x2344c287, 0xaba4064d, 0xb1fe3478, 0x41cb33ec, 0xc8d80af9,
+    0x7ad58e7f, 0x8fc8f5b7, 0x3389ffb5, 0xb82d27bb, 0x6f298a8e, 0xd809a282, 0x3e685156, 0x7ab86f27,
+    0xe27c9b47, 0x52770643, 0x8fbc1691, 0xbd22c0fb, 0x540ff27f, 0x44cd7746, 0xcbe843ca, 0x04f99ba4,
+    0xc050c9d7, 0x3cfddd0f, 0x01ca006a, 0xa2d389ab, 0xef8e8e87, 0x26e51b18, 0x5aebb96d, 0xa19fdbe4,
+    0x5eba0208, 0x0e4b9cf5, 0x031ec7c2, 0x1f35fcb8, 0xeb9c1a58, 0xf33ae6fc, 0x462857cb, 0x76b16b45,
+    0x73430732, 0xe776b697, 0x2e547cb7, 0xb3a8d995, 0x62cec79d, 0xde926bcd, 0x45e36633, 0xe64b4d92,
+    0xd4604057, 0x2dc9e2ac, 0xe6a6f14b, 0x017f1944, 0x292c7d86, 0x5e5034c3, 0xfca1fa3c, 0x4088744a,
+    0x0c31aa17, 0xe8db1446, 0xf5e69da5, 0x38604ef9, 0x6caf1282, 0x07cbdd61, 0xdfd89d2d, 0x45b70820,
+    0x7d32887d, 0xdccd9b3b, 0x00124ed6, 0x6f6c960a, 0xb2d2b319, 0xca2ad689, 0xa39e0dbb, 0xe31ce44b,
+    0x4808c014, 0x1d0f8c3d, 0xb39189f8, 0x9d7d3416, 0xff9a4013, 0x01158527, 0xf057493b, 0x0169beeb,
+    0xe9bc84f9, 0x23d2e8d3, 0x4b388ec5, 0xdbd1e9f9, 0x6cdaa08a, 0xc4b61c86, 0x1c2b5f8c, 0x5ad53d5e,
+    0xd1c6c81b, 0x61701040, 0xb248e2e0, 0xce6d098d, 0x340c75cb, 0x20c304a5, 0xeabe53a3, 0x3b98455f,
+    0x3a63cbda, 0xc9f5c26c, 0x4efa0a5f, 0xaacb1dec, 0x8493c99d, 0x636cd2eb, 0xc6efec01, 0x8133a07a,
+    0x0e6b497a, 0x512d14cf, 0xda9796bd, 0xa9f98c76, 0x2489eca4, 0x3a481fef, 0x9ad25915, 0x4c514c8a,
+    0xf28d4ed3, 0x998dc7f9, 0xaa5c897b, 0xc25c745b, 0xbaf656c4, 0x6b10590b, 0x5b27acbb, 0x514f72d3,
+    0xbd931809, 0xf4169571, 0xf8b4594b, 0x25cda538, 0x2a8c08bd, 0x84a477d9, 0xac2cf6f6, 0x2791a8a9,
+    0x9ce114b6, 0xba472002, 0x84c65666, 0xce348f77, 0xc3e69261, 0xd7eafdcc, 0x0df44410, 0x962a9222,
+    0x5a337829, 0x53988b4e, 0x164c2f53, 0xa60b6c92, 0x22425131, 0x111cd93b, 0xe6634895, 0x2dda4107,
+    0xc7c7a90b, 0xa0afac14, 0x2aea932e, 0x93095c2d, 0x12bde065, 0xea8f175e, 0x63c07e82, 0x57a4a4a4,
+    0x735dbb60, 0xca5929ef, 0x98c68ce6, 0x2bfdb8fd, 0x9563ace6, 0x69c0f47b, 0x28aa9839, 0xcd9332f9,
+    0x99a0bb25, 0xe9683627, 0x28f71d69, 0x32043aa0, 0xaaacf93f, 0x8a50a29d, 0x620b85ce, 0x6c90ebc5,
+    0x4d94d70b, 0x74eabfbe, 0xdcd6640d, 0x362cb4f2, 0xb30cf9b2, 0xa43fd7ff, 0x40d2e986, 0xd31aa993,
+    0x8dd17c35, 0x6a0975b1, 0x79038dbd, 0xa7fda0e0, 0x766ebc30, 0x591fa1ab, 0xe07a13f9, 0xb0c3e2b9,
+    0x8eb64734, 0xa1bbc3df, 0x7c73733c, 0xad5ab1a0, 0xd33696b6, 0x79bc7a50, 0xf556ecb7, 0x0ce40a43,
+    0xf09acd26, 0x20de8333, 0x7fa061ca, 0x2d7a7aa4, 0xd7db38cb, 0xd0c42925, 0xa605525f, 0x1da9a98c,
+    0xe8910bf8, 0xca660dbb, 0x8633f669, 0x686eaa84, 0x8a77e459, 0x5ff1ac9e, 0x979afc02, 0xe8be8aaf,
+    0xaa547f8c, 0xddff04ca, 0xe63a629b, 0x5557e405, 0x715c18b1, 0x7a7a06da, 0xfa3a46ae, 0x19a92a3a,
+    0x491a2f39, 0x4232dc91, 0xc0c24027, 0xe009087b, 0xe20986e5, 0x9f50e9db, 0x9fb3e5ee, 0x7256fc67,
+    0xb3559f56, 0x8bed7d37, 0xcbf7b6a6, 0xa67b4363, 0x3a67a742, 0xfd711a2d, 0x69ebc98b, 0xd4a60858,
+    0x994efa7e, 0x3a31c168, 0xf3fa87e3, 0xea96dddb, 0xc521a55f, 0x02578774, 0x1445f543, 0xf84a77cc,
+    0x5168681c, 0xb71b0b92, 0x668ea6d0, 0x77825d48, 0x23d01a17, 0xfcdc0ae4, 0xf7031550, 0x79343e08,
+    0x728e547c, 0xd9e9797c, 0x03460831, 0xf3437ba4, 0x7244e685, 0x50ae572a, 0xe9026091, 0xfe52804b,
+    0x0a15e78e, 0xed31cc24, 0x21ad6c9e, 0xcc5894f4, 0xeecb9ea4, 0xb437bdab, 0x33a7c4af, 0x5dc1c1bd,
+    0x4956b216, 0x17871211, 0xc57a348d, 0xe94aa790, 0x264e7083, 0x691a734b, 0x0102f039, 0xfadec4c9,
+    0x739d6bb9, 0xd269a13d, 0x0b208be6, 0xdfd37a91, 0xc6ff5854, 0xde451c83, 0xd77ce6ef, 0x8dc12e63,
+    0xd1d04d6c, 0x43ea037d, 0x3205d4e3, 0x0f0095d5, 0x7163067a, 0x72827772, 0x837b083e, 0x4c12d523,
+    0xfc21d262, 0xd0043440, 0x9b003391, 0x59eec690, 0xfbba3611, 0x5ef49f9d, 0x9e666409, 0xfd3273b6,
+    0xc1bcf2db, 0x12e27002, 0xa037be3d, 0x5a90cf4d, 0x9d616ff4, 0xdfe815fc, 0x93dbd403, 0x75c85eb7,
+    0x4833ac03, 0x850507d2, 0xb3d57340, 0xe3eff911, 0xb14b3d9f, 0xdf6ec5d9, 0xca2cbdbb, 0x08445031,
+    0xd454e42c, 0xf343d20e, 0x72b57de2, 0x1ce1352b, 0xb653e8c7, 0x5106350c, 0xf04cc410, 0xa5dfb453,
+    0x5c92fc39, 0x6e781c15, 0x938e2999, 0xfea89ee7, 0x60a129e1, 0x36c533ee, 0x95ff03f3, 0x5632d843,
+    0x285830b0, 0x61724998, 0x0a4f2deb, 0x3f755062, 0xd7d03af5, 0xbe777bad, 0x71b1baad, 0x9085e89e,
+    0xb6a21370, 0xdadf02d1, 0xe3e0664b, 0xa3c5bd23, 0x72629672, 0xb2e99405, 0x20f3268e, 0x392d8296,
+    0xdd5cee14, 0xbea6b7d6, 0x80318221, 0xd1b88770, 0xba8fcbec, 0x80836fea, 0x34d2c338, 0x537c811d,
+    0x423798f4, 0xc2b0dec7, 0xb9b96770, 0x87471c65, 0xc094c9e0, 0xd2fda2c0, 0xaf92f969, 0x0c8a1877,
+    0xfed4ae6f, 0xeb01552c, 0xe5af0dfc, 0x5837e708, 0x0cf3dece, 0x7c81a8d5, 0x44ebe076, 0x49fdb652,
+    0x0876c300, 0x75a43552, 0xe3d5012e, 0xb1e6c306, 0x8f4ec2f6, 0x5e7e6aef, 0x7e3de721, 0xd1f32003,
+    0x7e7f5f04, 0xca581d4c, 0x6d405d18, 0xc51bcdee, 0x7b1507df, 0x13e61fc6, 0xd4b5c35a, 0x0fde6f1e,
+    0x68b0c116, 0x01968975, 0xe0999937, 0x51fa03b5, 0x9c3cd431, 0x713495d3, 0x96966ce2, 0x75a6a3c4,
+    0x9fba15bf, 0x8d9a7008, 0x5de70de3, 0xb682ab65, 0x25bd53eb, 0xa3743f15, 0xd35473b0, 0x0a9ccd2f,
+    0x676cea95, 0x97274acd, 0xaca8088f, 0xc3ca387b, 0xc33773b4, 0xd57551f5, 0xbcc010d6, 0x9620aa4e,
+    0xc6933894, 0xc33d6071, 0x8f898137, 0x8493fa8f, 0xb3a8ca30, 0x4a57d875, 0xc3b1fd23, 0x1f7cb5a3,
+    0x2de095c2, 0xca2ec050, 0xcbf900fd, 0x126743bb, 0x6d2f7578, 0x3dba10a9, 0x964ad81e, 0x39ec21a6,
+    0x6d4aabd0, 0x431c7bb1, 0x4429850b, 0x22a129d8, 0xd3468472, 0xa78ed08c, 0xcace4d5a, 0x5ab25442,
+    0x2a668fa2, 0x3324c01a, 0xe62d154c, 0xb2d51f09, 0x7a3309aa, 0xe03d9fcf, 0x3c8a8765, 0x08208af7,
+    0x5518381f, 0x9193321c, 0x795b0686, 0xfbbd43ac, 0xc1cf4148, 0xf23ee32b, 0x4cb85635, 0x5b1573fd,
+    0xfd9b35c2, 0x6d3c406d, 0x98cb1fc6, 0x74333809, 0x8cf9fa47, 0x8962f563, 0xc30b932b, 0x775a2fb7,
+    0x21bddb67, 0x9a05e915, 0x2d47d80b, 0x945a01fa, 0xd1c30c40, 0xcc7dc629, 0x08b4f528, 0xb30949a2,
+    0x4a70ee6e, 0xa7d40423, 0x3f3c4efd, 0xef32bc26, 0x2a01ceff, 0x2739d925, 0x7a832b8f, 0x4bce6d41,
+    0x856e2b41, 0xa9c9e27f, 0x47d6b6f4, 0xb290d797, 0x33cf20dd, 0x477d3fe9, 0x6dd2c994, 0xe1ead220,
+    0x546b4f9f, 0x3f56a566, 0x63b4349f, 0xcff13629, 0x749239de, 0xbfc0f823, 0xee58e0dd, 0x4cd92c0b,
+    0xb13cdfc8, 0x3af60301, 0xa9b74e46, 0xd1c029df, 0xb996791c, 0xa70712c7, 0x651b1719, 0x00a7ae82,
+    0x2a4bc275, 0x03fa943c, 0x67d700c7, 0x814a8819, 0xbcd7add2, 0xdd312cf8, 0x01c3f08c, 0xd119b754,
+    0x1690e3a1, 0x5aaad623, 0x82b94b29, 0xd745163d, 0xedf55827, 0x0caefcb3, 0x222be074, 0x5f2fbb1b,
+    0x8bac91bb, 0x33fb5873, 0xa7259430, 0x5e1e63fe, 0x63e1b871, 0x37365ce6, 0x71d2179e, 0x857f54bc,
+    0xaa17691a, 0xa0c74cf1, 0x212f5952, 0x333574c2, 0x25961510, 0xae29f630, 0x69220766, 0x174572dc,
+    0x7f4e3c9c, 0x1364e7ee, 0x27632643, 0xe013e009, 0xff956409, 0x114fc319, 0xfbf9cc7f, 0x94b34ca3,
+    0x403c0190, 0x6ff2084e, 0xcc918121, 0xec530d9c, 0xf05704b4, 0x10f4d81b, 0x89c8f464, 0xadd86a9f,
+    0xbd283a02, 0xc64803a5, 0x2ad94cc9, 0x5cbcae02, 0xc4ab6f90, 0xc3de5043, 0x0730241e, 0x3cdf7991,
+    0xc07fe001, 0xbce6aca5, 0x7ab9e9e4, 0x382f00c6, 0xf0bc5e1f, 0xa5d63b73, 0x114d5ff3, 0x68e73efd,
+    0x99ad151b, 0x0c26397a, 0x953eae6a, 0xbbdca1b2, 0x44bee1eb, 0x5f828834, 0x8a6a6de4, 0xc9e683e1,
+    0x19e5b8f0, 0x24f890c2, 0xfa11be15, 0x315e813d, 0x574c6992, 0x21ae06a3, 0x139e16c0, 0xb8812ace,
+    0xf0eecfb4, 0xdd13af80, 0x782afec8, 0xb350c688, 0x31c6f8b2, 0xc1b68886, 0xef5b01fe, 0x549855b1,
+    0xd3a120a1, 0x6c298d3f, 0x889b1c51, 0xb8000e02, 0x08170dd5, 0x1c830dd5, 0x86c0463a, 0x311632d1,
+    0xf692994e, 0x47867bed, 0x0ab94e5c, 0x06705959, 0x98e45869, 0x3c827db4, 0xc36182d8, 0x96cc5746,
+    0x22ab8172, 0x995e0006, 0x30e4d95d, 0xb3826b9a, 0x3b32051f, 0xc2e54555, 0xcc422050, 0x172e1257,
+    0x8e493f57, 0x3d2056ec, 0x57a0a605, 0xa40d6ac3, 0xfa59f527, 0xaaa893c7, 0xaed60f08, 0x6f6c7182,
+    0x47425473, 0x0e00d81e, 0x6a28b774, 0x2cce336c, 0x5942a7d5, 0x108a533a, 0xf3d15dfc, 0xf99203cb,
+    0xc756754a, 0x5eab6bbb, 0x2e957d8b, 0x6215e9bd, 0x3136f346, 0xcbfdd250, 0x2666a055, 0x034fa4b6,
+    0xbb53ce2d, 0x9e81368d, 0x0d93cd07, 0x215fd5f2, 0x1466f4df, 0xffef1389, 0x5ef4c0cb, 0x92edccd7,
+    0x0bdb35cb, 0xce3c1688, 0xc71028b4, 0x32b12909, 0x8ca0d44d, 0xdb6e3207, 0x7c6f5876, 0xdfe1cd64,
+    0xab2bfa97, 0x8eefc746, 0x6e4c0803, 0x6ea410e3, 0xc4150115, 0x5ec97b7d, 0x041c7b91, 0xe5b2f63a,
+    0x09717409, 0x6340ea34, 0x64429823, 0xd3274f75, 0x088f11a4, 0xc90e11e6, 0x074d026c, 0xfec46a98,
+    0x69bd30da, 0x1597727b, 0x1054a187, 0xbb8d482a, 0x18690b29, 0x52d7c7af, 0x644e9358, 0x23628fb4,
+    0xdfd41b45, 0x2acdc344, 0x0546fb62, 0x4c03b40c, 0x513aeaa6, 0x22cfc246, 0x66a77299, 0x3acd0794,
+    0x23450385, 0x0391a1e9, 0x0df4ae8f, 0xb892b157, 0x70d48914, 0x26df3b70, 0x99228f8c, 0x4d2c47d7,
+    0xd4e49d12, 0x854636dd, 0x2c25bace, 0x28713bf5, 0xe26aca24, 0xc4fa3f8a, 0xd8ef276a, 0xe5eb8b5d,
+    0x9078a70b, 0x25224f15, 0xcf1ac4f4, 0x5ca116c9, 0x777a4e72, 0x539d5867, 0xd1a1c768, 0x38b31d10,
+    0x554e22e9, 0xeff3ede8, 0x3d01cec4, 0x2002b447, 0x3edf22cb, 0xa75b7128, 0xb05d6809, 0x8f12837e,
+    0x633bb03b, 0x77faebd4, 0xfd955839, 0xf60fb5f1, 0x7426fbe3, 0xe837be7f, 0x09550454, 0xf4db2260,
+    0xb61be3d7, 0x1e115bad, 0xc89e42f0, 0x5410f1c2, 0x03e3c4f6, 0x81a26e45, 0xb5acfa0d, 0x7d0fb6b3,
+    0x61bd995d, 0xa04672bb, 0xf27e9c3e, 0xc94a5bd5, 0x60f9c335, 0xc24bec24, 0x919ede63, 0xe6ac12b4,
+    0xc8323c7e, 0xb4c89137, 0x4f92c24c, 0xabae686a, 0x0503fc13, 0x50ec15f8, 0x008c1c0b, 0xa70ea846,
+    0xe4ac42ec, 0xa03f0d48, 0x9971fab8, 0xd35c536d, 0x5f928066, 0xbfa65554, 0x93901d48, 0x5ca25608,
+    0x4746df50, 0x4c0abeff, 0xb8b5c148, 0xf064cba1, 0xcfe42078, 0x7a4fc55a, 0x8dffac23, 0x1247605f,
+    0xffa20992, 0x78b62256, 0x7d1fa705, 0xc54bc4c4, 0x592ba15a, 0x946cbf4d, 0xd2576a53, 0x8d96918f,
+    0xef546a6e, 0xc835755c, 0xd4367c05, 0x8dfeba2e, 0x0c1d846b, 0xd022ef33, 0x584a9a3f, 0xda19391a,
+    0x754a3ce4, 0xa4f96847, 0x131b94af, 0x415b5168, 0x337012bf, 0x6fbd88ee, 0x5263ba33, 0xe54e9c29,
+    0xee8a7989, 0x4bca45ed, 0x6cdb7737, 0xfcba6bb1, 0x6c08f8a7, 0xfaf81081, 0x1cdce86d, 0x60e742e5,
+    0x1ba515db, 0x448434ce, 0x2aa2909d, 0xb23e1fab, 0x4e16f684, 0x922b685e, 0x425ce144, 0xa452336b,
+    0x590a934c, 0x2aa1a07e, 0xd0993a49, 0x44772d52, 0x9f2792cc, 0xfda29812, 0xf33579ea, 0xa9de5486,
+    0xc88a0358, 0x43f561bd, 0x47757d99, 0x24d84213, 0x507dcd5a, 0xf2579939, 0x8addc2c8, 0x44c291e2,
+    0x40f1d4b5, 0x29e78c4d, 0x6c6335fc, 0xef8e543c, 0xf27ac113, 0x92828efa, 0x222ba6c1, 0x300f85b1,
+    0x365ea329, 0xa889cd22, 0xc66875ef, 0xb100e691, 0xfee77539, 0x16c56b25, 0xe0924924, 0x754d8c56,
+    0x36e48b75, 0xb4d507d9, 0x5309e910, 0xa0334f31, 0xac9ce4b3, 0xd8fcfba3, 0x820d3948, 0xcfbe5c58,
+    0x243cbc8b, 0x8691cd99, 0x8c3bde12, 0xa4de6d4b, 0xf16d9ba5, 0x7df159e4, 0xdb727716, 0xff088b09,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000049252507745493099015348800125179517256\
+                          34967408808180833493536675530715221437151326426783281860614455100828498788352 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c,
+    0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e98, 0xbe66bc08, 0x588ab831, 0x7076d055, 0x2714bd09,
+    0x00000000,
+    0xb28f4b1c, 0xda4ee7c6, 0xabbc0ae0, 0x542c9543, 0x5b1c14ed, 0x9347b468, 0xc5052fe0, 0xe75faa02,
+    0xcc0ff137, 0xb8afe512, 0x738c2951, 0x94514021, 0x8b994ce1, 0xa34f0874, 0x59baa768, 0x490a372c,
+    0x0bd5e8d4, 0x2c4491ad, 0x1ef34731, 0xfb0389e2, 0x7a8bb0f6, 0xcc6f2380, 0x343ab923, 0x9cb09964,
+    0xea9b3c9e, 0xaa59503b, 0x8c875ff3, 0x8e8eea9d, 0x978c626d, 0xfb93ce24, 0xc3aa05c1, 0x705e4e70,
+    0x380a0480, 0xd84c2152, 0xd15ba667, 0xb96cc070, 0x6b8bb12d, 0xe8d33b59, 0x9e168753, 0xfe28b747,
+    0xe7d621cd, 0x0cecdc9a, 0xdc76d442, 0x628e1767, 0x074ba9c5, 0xb146b141, 0xd120b0f4, 0xaa87539e,
+    0xa38db134, 0x192712c4, 0xb3162f2e, 0x787ce7e4, 0x31080129, 0xbe3715d6, 0x1cc732ad, 0xbb92afa9,
+    0xd138baf2, 0x044410d9, 0x983199f9, 0xbc60a527, 0x5ffa55ba, 0xf6bc65bc, 0xdde5d910, 0xbc44c983,
+    0xdc8cd4b6, 0xe5a09a00, 0x736a2a44, 0x27a77fd3, 0xff14a72a, 0xfef8b64e, 0xb3627a5d, 0x862d1976,
+    0xc7a79fe2, 0x594b19bc, 0xaf6832bb, 0xfd7275db, 0x9a51f35f, 0x2dbdc41f, 0x5f7a0098, 0xba225ee6,
+    0x20bd748a, 0xd5bd7d0f, 0x17f36a03, 0x23613be7, 0x17c59699, 0xb0d4d0fb, 0xbfa9a076, 0x9db33da3,
+    0x9507e6e1, 0xf49a12a5, 0x40e0ee0c, 0xd047a179, 0x12343daa, 0xfde23313, 0x476170e8, 0xbfae4ec0,
+    0x3ea75be7, 0x2100d9b9, 0x27c75d8b, 0x07516483, 0x6c886888, 0xf7fcd538, 0x8232dc35, 0x4de81923,
+    0x9cf32abf, 0x164dba79, 0xb7e8f89d, 0xb8ebd694, 0x3848824b, 0x0d3d4dc3, 0x6d380cba, 0xd8bcd793,
+    0xcec81d6b, 0xa3f9946e, 0x7cb26910, 0x6e24fd7a, 0xe4bc552d, 0xf0b69b49, 0x72614ca7, 0x864d79e9,
+    0xd8b09beb, 0xf9f34359, 0xd3f838f6, 0x349367c8, 0xdd8c6f40, 0xd0bcab8e, 0xf96af52a, 0x201e2682,
+    0xd686c32d, 0x2aa59986, 0x6e211131, 0xe57354e2, 0x3c747e47, 0xbf64e8fe, 0x644dfed7, 0x6496677e,
+    0x4455a687, 0x7ef75122, 0xcb726ac4, 0xb83a0f49, 0xc4010a07, 0x38347777, 0xd7ea3023, 0xe24253ca,
+    0xdb472d96, 0x3aaad945, 0xf17cdc1f, 0x5fa9f788, 0x20a1745e, 0x2c99d828, 0x0506792b, 0x83d428c5,
+    0x717edd44, 0x7d64138f, 0x8dc30f91, 0x1575c998, 0x01dba296, 0x7e4da972, 0xe859a129, 0xc27d209f,
+    0xbd463d4f, 0x5ace76f4, 0x1ad09ad1, 0x24983684, 0x65eebc62, 0x4249dfb4, 0xdbbf533e, 0x1c110842,
+    0x74f94945, 0x8b4f3930, 0x3d5f2737, 0x4d092436, 0x192865ab, 0x5acd8e38, 0xc89bc2e8, 0x02f76b09,
+    0x1946e349, 0xf4cb94e3, 0xb0cfc587, 0x923babe9, 0xff646899, 0xd2fc236f, 0xb9d38f78, 0xc06f9c25,
+    0xdcf36ade, 0x801b1d6a, 0x2a99c3bc, 0xb8698d9f, 0xfb307f4c, 0xc075e16e, 0x94352f57, 0x2c183b02,
+    0x85cc6aff, 0x7cff79fb, 0xc8b300f4, 0xbe77f010, 0x2a1c5fc4, 0xa400f757, 0x2c11b0aa, 0x90c19e0d,
+    0xefb90375, 0xa3c3aa38, 0xf08caa69, 0x9e52ad15, 0x103b32df, 0x5c719312, 0x6d075bc6, 0x0b52ef95,
+    0x5d490ba4, 0x75e63396, 0x27bd6bfc, 0x76b3a4f2, 0x8bfc2779, 0x3d15f21f, 0xed421a31, 0x5e500a50,
+    0x945c4a80, 0xdd314550, 0xe8faacfc, 0x8b7bbbe9, 0x65de2639, 0x20f862d0, 0x87d2180a, 0xb9e169dc,
+    0xbd1b50f9, 0x3092e8d9, 0xdb31e46a, 0x57850eb9, 0x244a064c, 0x973dc1ab, 0x16ad2431, 0x4bc26068,
+    0x271ceea4, 0x94dff62a, 0x2d20ffae, 0xd7dbbf8e, 0x5998519b, 0x70421679, 0x85549043, 0xa73d66d6,
+    0x816a32c8, 0xcb97be1a, 0xb00ad44c, 0xe8b6b233, 0x730832ca, 0xf9db96ba, 0x4b693293, 0xa711737d,
+    0x2f427302, 0x6127e5f2, 0xd107db17, 0x69c05ea3, 0x24ea3dcd, 0x91f69164, 0x76468c2c, 0xd5d3e9af,
+    0x2650bd70, 0xd6a706b0, 0x4c1e8e1e, 0x4b931aba, 0x330c3f52, 0x11d83d21, 0x74fad9cc, 0xaac976ed,
+    0xa5a25e8f, 0x2ce88ef7, 0x3654b53c, 0xb95f8cee, 0xc0f0bd19, 0xd6d13cac, 0x9555733f, 0xa20265b4,
+    0x15a2a515, 0xda5d59df, 0xc1544824, 0x2d70acc3, 0x4bce875e, 0x68e5a4d7, 0x4d611eaf, 0x56a0f61c,
+    0x66b73d43, 0x98e408e5, 0x6c665ada, 0x1fc10732, 0xea18fef7, 0x60d43276, 0xf7c36e7d, 0x5fd66b0a,
+    0x21631ea1, 0xfe246e6a, 0x29bf1ee2, 0x92c84f4d, 0x57b79c9d, 0xda747520, 0xc352cdcf, 0x8c0348e4,
+    0x8e35d8c6, 0x3d19ed46, 0xed42168d, 0xbd626910, 0x136aa689, 0x7e802d6e, 0x9e5144fe, 0x976a1dad,
+    0x52e50780, 0xb5146dce, 0x9608ff91, 0x7db31e56, 0x2f621c77, 0x06faaa61, 0x97bd6f06, 0x83713431,
+    0xf6846620, 0x261eb4a5, 0x9d867c0f, 0x02ff7452, 0x69ec79d2, 0xcd096eec, 0x4f424bba, 0xcaec527e,
+    0x696921a6, 0x11b56cb3, 0x5b0b3515, 0x53e68fb7, 0xe8b14666, 0x2a720958, 0xbbb524d5, 0xfc5429ba,
+    0x4c55a4fa, 0x0ca88378, 0x84927b42, 0x92218f95, 0xb6c63fcd, 0x0b386296, 0x4d2c816b, 0x5dcc601c,
+    0x3e2b97e7, 0xa740841f, 0x3749860d, 0x283b5f22, 0x32ce2be3, 0x07bfb069, 0xa34672ba, 0xe1bffc53,
+    0x7d48b150, 0x71501d8b, 0xff19f289, 0x25daf588, 0x8b112ceb, 0x69e6bc5e, 0x87456674, 0xa31ff19e,
+    0x6bb30e8d, 0xdcf73dd2, 0x38c36ab0, 0x38816bbe, 0x4a51a39a, 0x6ee5adbe, 0xb5bc9567, 0xb1e52ad0,
+    0xd98d84b3, 0xc4eff22b, 0x790e9978, 0x112fbdd4, 0x777a6c42, 0x5c2f328c, 0x940b66c3, 0xa4a006ce,
+    0x02bf262a, 0x1b560999, 0x414ca669, 0x23667bbb, 0x56bd4d40, 0x299d27be, 0x4e8320e6, 0x4fa7c34d,
+    0x9385c1fe, 0x89aacaab, 0x1de648eb, 0x2b48e4f4, 0x5aa7f36c, 0xf2d5fa74, 0xe7d34e0f, 0x01dcd2fd,
+    0x1d04817c, 0xe95f0cea, 0x6420c732, 0x79328105, 0x28bc24e2, 0x57c0fe83, 0x76596050, 0xcf612698,
+    0xe140f77e, 0x949d28d8, 0x3978a6d5, 0x08d4c87e, 0xee69859d, 0xa1dfd1b1, 0x3b591433, 0x9c9cfa49,
+    0x6256c3ab, 0x536d3129, 0xa5a0d6ab, 0x068f9fa5, 0x85c12120, 0x24cd6797, 0xe4461a33, 0xe8e81baa,
+    0xbae06166, 0x7894bf83, 0x7aac7f20, 0x2fe84353, 0xd6806019, 0x73058c00, 0x0e1c12ba, 0x7782d89e,
+    0x85a7c59f, 0x9fab59c8, 0x0686daf7, 0x9b1851ae, 0x34107420, 0xbd942eb1, 0xee395774, 0xee81a6af,
+    0x7a51011d, 0x5bcf30d7, 0x0b0daa74, 0xa809d8e8, 0x9d93e186, 0x42673413, 0x78212622, 0x52509010,
+    0x69206dd7, 0x725e1354, 0x344d25ca, 0x4c578879, 0x8a94c7a2, 0x7fd2ef63, 0xbabfef30, 0x317c614e,
+    0x3e1b5ce6, 0x5795ce0b, 0x7008198f, 0xe17fd0c5, 0xbac072a6, 0xd568a172, 0x28c143c8, 0x424e348e,
+    0x1655c7b8, 0x06175646, 0xbb39544a, 0xc731c763, 0xba785f46, 0xd0c3420f, 0x53f44fc1, 0x3a624ba9,
+    0xa275848c, 0x50fa1e60, 0x28f80a3c, 0xf9b55870, 0xbeff32a8, 0x8301b6e9, 0xebb6f153, 0x020ded81,
+    0x22f25c27, 0x6609f7ca, 0xf58ce43e, 0xa77bd3b6, 0x68216aeb, 0xcc0a9813, 0x14ddfc10, 0xc0679c69,
+    0xf82a3482, 0xfb809fe0, 0x9d127459, 0x7a11eb73, 0x7b84a68a, 0x952f5482, 0x820011db, 0xa23b36ba,
+    0x36c9479a, 0x156ae96a, 0x0f1cef77, 0xaf08a38f, 0x4fda510e, 0xc4d469ca, 0x0b5842c9, 0x1e59d688,
+    0x8b9fbf05, 0xcd620cef, 0x341b174b, 0x95ad2979, 0x6fd248ae, 0x9187c275, 0x11434806, 0xe214fc2f,
+    0xc58fd1be, 0xad8e916d, 0x6f5b4d43, 0x0a7052a4, 0x8320e521, 0x9cae90fa, 0xa5c054b2, 0xb99fac46,
+    0xc70933f1, 0x1c33ede3, 0xf73827e0, 0x50bfab32, 0x4199b3aa, 0x2bf4a1a6, 0xc072b618, 0xa30b254b,
+    0x4db7cb05, 0x7ffbbc86, 0x998f1278, 0x08c72d15, 0xdcc8ebd5, 0x437f7e8e, 0xdc5714dd, 0x297423d4,
+    0x88e52098, 0xd0610512, 0x8edad0b1, 0xffa1b4c6, 0x9bee7d15, 0xf3f898c9, 0xd9c33ad6, 0x647eee89,
+    0x46f87c8c, 0x6e81d7b2, 0x751a9760, 0x9cf39187, 0xbed40042, 0xd5b37fee, 0x11dcf98b, 0x039d8b5d,
+    0x7d4f781b, 0x15fa5100, 0x083789e7, 0xc6ccf759, 0x376a063c, 0x1683ea9d, 0x46e8296e, 0xf527bc94,
+    0x9f8caef1, 0x66846ed2, 0x6d99bea2, 0x4000e030, 0x6716f291, 0x740096b4, 0xd9b9230c, 0xb35aa8c3,
+    0xbb922a64, 0xe91bb133, 0x10437a74, 0x70ab50a8, 0xabf60db0, 0xaab2a0fd, 0x8d8e5f58, 0xfd5226e5,
+    0xebb3d882, 0x005f9585, 0x8f8c033a, 0xb8e22fa4, 0x122b40fe, 0xeb15d261, 0xccca800a, 0x7e98386a,
+    0xa0e39407, 0xb71abaf5, 0xaf818b19, 0x428110b9, 0x2e125b19, 0x658e2d1d, 0x243a1b3b, 0x68176021,
+    0x3422de18, 0x05b65b98, 0xb9ed9d78, 0x78b42f45, 0x10154acc, 0x0326cc0a, 0x62e1450e, 0x69bb6337,
+    0x7ee5f20c, 0x69247a75, 0x52aa5277, 0x70e8e069, 0xe218629d, 0x3031f395, 0xe927b169, 0xda2f8ae2,
+    0x51306c95, 0x19ed4bd4, 0xd4fd0370, 0x565f1fe5, 0x4f950078, 0xeec4c6c5, 0x78411e20, 0xf25b8185,
+    0x07c30f33, 0x2d952fba, 0x3183ef74, 0x45576302, 0x8e4a7a7a, 0x320bbbe7, 0xd229fce5, 0xf6d65228,
+    0x8611aca2, 0xc057ee1c, 0x27447992, 0x579aff5e, 0x5381e055, 0xa4d99403, 0xd5b956c5, 0x50f8e357,
+    0x8c8024e9, 0xf24b2975, 0x74962dc6, 0x42ab76d7, 0xa6ba9961, 0xa21006b5, 0x80b1222b, 0xa1c21f8d,
+    0x720afe0c, 0xe11484bb, 0x6861bf8c, 0x875c7ca1, 0x67cae3b6, 0x9ad310cd, 0x35917986, 0xac83de05,
+    0xd2c066b5, 0x464ad187, 0x08fb15f8, 0xcaf6cf36, 0xe7005937, 0x863adfae, 0x90ab07dc, 0x9315319a,
+    0x4c229510, 0x62e70c45, 0xa62049e3, 0xf6559889, 0x02b96e07, 0xcc0773b0, 0x3f01b1d5, 0xd2713000,
+    0x5ab9a68f, 0x2985d5d9, 0x68212107, 0x915ea9f6, 0x84a72b6e, 0xf9b94d40, 0xf8d91f9d, 0x36fb7371,
+    0x82dd9119, 0xdf7f87eb, 0xe3debc23, 0xe3a5a974, 0x369ab879, 0x38d0e7d1, 0xa6823098, 0xae6776f1,
+    0x5ccdc5c6, 0xbda201d4, 0xf29784ee, 0x26956de2, 0x434afa95, 0x6d7f2eb5, 0x1529aead, 0x9c4364ff,
+    0x39e289ed, 0x7629d6d9, 0x93d10899, 0x0a005822, 0x8cc1d57a, 0x935c39b7, 0x73629e25, 0xcd907e11,
+    0x1705fecb, 0xb18d712e, 0x00cc0710, 0x636a9936, 0xf81f7641, 0xe8922f37, 0xf0ce436c, 0x489f1f60,
+    0x0f726800, 0xd8e99d26, 0x8440c4b6, 0xcdd17f0a, 0x8264873f, 0x97f9b6c7, 0xc3412449, 0x20ca2376,
+    0x7a803516, 0xadabb3e4, 0x8f4e765f, 0x7a72d470, 0x29889bfe, 0x131b4b4b, 0xc9f728e0, 0x704eb4cf,
+    0x85f1cb47, 0xc8930638, 0xc09cfa0f, 0xf951a038, 0x2ff41ff8, 0x20606fa9, 0x571c41df, 0x6c626cfa,
+    0x9b477239, 0x463ab49a, 0xc61d25ca, 0x956d28fc, 0x13c7774d, 0x6680bfe2, 0x9cc6f34b, 0xacce826c,
+    0x47c7b570, 0x48b75787, 0x95e23d84, 0xd7ce31f1, 0x79691639, 0x7f2076d8, 0x5dd8d234, 0xea50f4c2,
+    0x3e1873d9, 0xebb7d09a, 0xf89129f5, 0x66f045cd, 0x17649c24, 0x7e3ddfc8, 0xcf790c23, 0x21fc45f5,
+    0xb3036b22, 0xd3f2ce7f, 0xad18af89, 0x268339dc, 0x3bdd597d, 0x52e7711b, 0x8f56bde1, 0x76fb9094,
+    0xd6c42946, 0x11d4f311, 0xe5c62c2e, 0xf5ca07aa, 0x586d8f9b, 0xc317e393, 0x9a0057f3, 0x32f8d9f8,
+    0x680f7382, 0x0f94fccd, 0xf2538280, 0xf0ee4378, 0xf4e20b6d, 0xd4f3c41c, 0xbedd115e, 0xfd1e137f,
+    0x68920463, 0xca1ae433, 0x5353d07c, 0x0ee83ba5, 0x8e90f5bc, 0xddce4a99, 0xa71cf03e, 0x53756f45,
+    0x2d8af018, 0xd401e604, 0x550fc720, 0x7f00a015, 0x5bb2491e, 0x232ac87e, 0x0736429d, 0x7afe6f28,
+    0x96bbd4d6, 0x2b750318, 0x3dafb2fa, 0x5f480b9b, 0x2cbeb9cd, 0x303bc560, 0xe865e6db, 0x6ebddc9c,
+    0xab2f441e, 0xb59f92bc, 0x1377c369, 0x5ca8e897, 0x78a022ac, 0x7cf415fd, 0x73b1134a, 0xaf8c2bcb,
+    0x63635c40, 0xd66b6d7f, 0xb29e9a4b, 0x99e6b4e2, 0x5eef6e5e, 0x8ec5f0fc, 0xb27bf56a, 0x963e62f7,
+    0x565ef825, 0xe6a3963d, 0x591ff218, 0x4601ac51, 0xfe8ca730, 0x6face450, 0xde529a76, 0x408d8a3f,
+    0x62290a45, 0xce91e03e, 0x5c0061eb, 0xf6aabaee, 0xf4de0fe7, 0x3851b634, 0xe73ecf60, 0x5e343826,
+    0xa648975f, 0xe11dadc9, 0xf47e9225, 0xa13991cc, 0x9fe662a3, 0x9ff15bd8, 0xc3e10a4d, 0x25fab5a0,
+    0x5e8541e3, 0x180c2638, 0xbd0216e1, 0xd4642998, 0xaf8897e7, 0xfbc0874f, 0x5ff0fe97, 0x02bd9765,
+    0xa1140d6b, 0x1e87d83b, 0xb19e05c9, 0xa7b7229b, 0x2773462f, 0x37a531ba, 0x6a2db57f, 0x8ad0a568,
+    0x0531cea8, 0xa3391dca, 0xfcde6bf8, 0xea177784, 0x525f832b, 0xe414cfaf, 0x1cc8d74b, 0x64e732e6,
+    0x06fdeea6, 0x484c0320, 0x3857852d, 0x0a61ba0b, 0x0a7b9200, 0x5647273e, 0x96e3f794, 0x89e12817,
+    0x7a0b8655, 0x660a0580, 0x83390972, 0xd7b139ca, 0x5df08da2, 0xa9952923, 0xed0a6fd0, 0xb185c408,
+    0xc8684425, 0xd0d8bd81, 0x1f83ec33, 0x98ed4c92, 0x2ea2e02e, 0x130d91dd, 0x7b6bc167, 0x5af5cb67,
+    0xbf48875e, 0x06290837, 0x739323d5, 0x38db39d9, 0xa197665a, 0x65992ee8, 0x248cc521, 0x6f4e1282,
+    0x9dd29cda, 0x05f73085, 0x12f90550, 0xaf202893, 0xf503da40, 0xa26da101, 0xb7f723af, 0x93c32bc3,
+    0x3bf2d2a9, 0xeaefc04d, 0xdb44c530, 0x93164957, 0x9375c15f, 0x7d87e43d, 0xb0ae4d13, 0x3865aebb,
+    0x0abef203, 0x96085e0c, 0xfa8fe6d4, 0x4ef3db5e, 0x28b09761, 0x5d05d7cb, 0x17fa45de, 0x770af1cd,
+    0xb69cf8c1, 0x09e46c19, 0xa38c7b01, 0x36b0c7c7, 0x2e95ac13, 0x2ff9a603, 0x0b0a0d2b, 0x6dfc7132,
+    0x3680f74f, 0x750b4ef6, 0x473a63d1, 0x68ee5b5d, 0xdea68755, 0x1d3d04c6, 0xd7321e2e, 0x3da8c750,
+    0x6d4b88c6, 0x3ec4e443, 0xdedcb9fc, 0x09d453a7, 0x3f339e87, 0xfe079ee2, 0x5c556578, 0xaaa09693,
+    0xf6956930, 0x4efa4583, 0x83680b5e, 0x6a445421, 0x2ef8e273, 0xd8b40d8b, 0x531c40d6, 0x71416229,
+    0xf5e882b8, 0x6bcf0b56, 0x4c377c48, 0x975a4b33, 0x3b2f2614, 0xd0874159, 0x13bb0e61, 0x7da2dc4f,
+    0xe812e674, 0x171e5cd5, 0xf010a129, 0x556c24f2, 0x41c674b7, 0xef8b97d8, 0x4b058c86, 0xd8a055ad,
+    0x1befea1d, 0x7505cc95, 0x1ea1668c, 0xf42003ca, 0xaa2a9d9d, 0xb69309bb, 0x210c9d9c, 0xa967fbed,
+    0x93bfccb2, 0xd8050470, 0xf8d99e56, 0x30c9e518, 0x2e1a1480, 0x4b2fb309, 0x9d0636d2, 0xe8732185,
+    0x296641c5, 0x6df8ee96, 0x711ff703, 0x265ddf17, 0xd2f9fd13, 0xa59b46a3, 0xea28a7ca, 0x2f64936d,
+    0xbdb9fd60, 0xa7b221a1, 0x3b130176, 0xecb916c9, 0xc905d687, 0x89e6caba, 0xd5316bb1, 0x0faa7f09,
+    0x2ce86a01, 0xcff009e1, 0x5638a02a, 0x7f6ddeeb, 0x77821798, 0x2ae8c0e2, 0x857cf217, 0x4c35b5ee,
+    0x1ac7336d, 0x8650e7e7, 0x6d753a4b, 0x8185692c, 0x18d21a1b, 0x9f4a4d25, 0x97dbb3f8, 0x89c9eacf,
+    0x5f2304fc, 0x2ccd1e34, 0xe8b90ca6, 0x30377315, 0x8978fea0, 0x20a59d1c, 0x9a8c8c53, 0xddfee2c0,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000024626253872746549507674400062589758628\
+                          17483704404090416746768337765357610718575663213391640930307227550414249394176 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496,
+    0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4c, 0x5f335e04, 0x2c455c18, 0xb83b682a, 0x938a5e84,
+    0x00000000,
+    0x972e4b99, 0x93307f39, 0x9537d212, 0x3ca3268d, 0x70371589, 0x12e6ca7b, 0xf1296910, 0x322dad31,
+    0x9b7ce0a3, 0xc24d66b6, 0x6ecf25eb, 0x162bf72d, 0x6456268f, 0x41a83492, 0x3d1d40a0, 0x4c801e37,
+    0x819c9323, 0x02a8ce96, 0x9811c231, 0x1c23f01f, 0x5ccd5faf, 0xf3e766c4, 0x1f1c1992, 0xe42bea76,
+    0x741bdd5b, 0x76c67a90, 0xc42be6e4, 0xf0bbddc4, 0x31a17c1d, 0xac84c210, 0x4bd52992, 0xbac2fe36,
+    0x0dfe038a, 0x5a6327ed, 0xe8771a1f, 0x96769a28, 0xffd66b76, 0xb9f64d85, 0x6ae2dede, 0xe80bc97c,
+    0x87a6a71f, 0x2ce97eb3, 0x2525601e, 0xc05f3842, 0x9f1a8827, 0xae50fe48, 0x6af6b7c4, 0x139bdd6c,
+    0xa8be1a3d, 0xa80db494, 0x5e7e96ab, 0x0cb8c700, 0x53c2c2c3, 0x35069df7, 0xbd1f3b31, 0x61cadd42,
+    0x359ce031, 0xcad4ff52, 0xbf0783eb, 0x3d8b94af, 0xee50b89b, 0x1d1ae602, 0x5f964d0a, 0xc1bb3443,
+    0x80fe6a65, 0x70d1ae77, 0x8363a2d7, 0x29545392, 0x61d557c0, 0x9c10c4a0, 0xb861ba3a, 0x97770cf8,
+    0xf0423439, 0x6ccee9e8, 0xeb0b7f5b, 0x00b4564c, 0x6bb3e638, 0x3559c52a, 0xf1e2ccfa, 0x8c3889ab,
+    0x2c796493, 0x8d59ceba, 0x5a528b77, 0x38b6e109, 0x94f650af, 0xe6663d0c, 0xc5406b9c, 0x23ae439e,
+    0x1ee54fc8, 0xa4cc80a6, 0x40245554, 0x4cc58d50, 0x3a9d5445, 0x6f6fb9bf, 0x71911421, 0xee036e40,
+    0xe4fcb7cf, 0x41effcfd, 0x783b9647, 0x57e505ab, 0x3f594e1c, 0x3483731c, 0x92962e62, 0xfbd632b5,
+    0x8a3d609f, 0xd3ea1ce4, 0xfa037054, 0xeced7c05, 0x27aa432f, 0xeb8ea27b, 0x47399567, 0x93f214b0,
+    0xd9dc2315, 0x698ac5d5, 0x14374ed0, 0x2faa6586, 0x2c522019, 0xc33e0553, 0x58761b02, 0x03cff531,
+    0x78bc20f8, 0x4afeafda, 0xd67fcae9, 0xd145d51e, 0xa052b31e, 0xdddc242e, 0xa164ae3c, 0x32a8b0a5,
+    0x6ae93841, 0x5abe6591, 0x976d7114, 0x4ba2fbde, 0x5b24f9af, 0xe868fc1e, 0xf2e02d7f, 0x9905b85e,
+    0xc61b13c1, 0xffc227e0, 0xc3d935cb, 0x2169edce, 0x71cc0c87, 0x1baba395, 0x245f3550, 0xd7aa7cdf,
+    0x98651c6e, 0xc68d67e8, 0x32311484, 0xa3be21ba, 0xf22bbbe1, 0xf6ae3b98, 0xb40c1329, 0x019d313f,
+    0x9f4eb5db, 0x48835add, 0xaf7db029, 0xcbac99a2, 0x82ef7fe3, 0xc0a050d8, 0xbb2c27aa, 0xae2bffb0,
+    0x42c53a9c, 0xb71c1e88, 0x3310f9bf, 0x146c6e18, 0xd9517501, 0x7ff4eff4, 0xf44dd8d6, 0x1106007d,
+    0xe230f7ad, 0x5d981330, 0x900e988e, 0x5b20de7a, 0x84d28fed, 0x5892ab8b, 0x383050db, 0xd39c4650,
+    0x33d9ef43, 0x606351ea, 0xb13bb3a3, 0x219dc863, 0x93f0a97d, 0xa6518bde, 0x99db05fe, 0x62c7dac2,
+    0x8fe1ae3c, 0x8f1dba30, 0x65640b4d, 0x4680a6e9, 0xe9ee1580, 0xbdad4349, 0xbdc18e09, 0xb2050a9c,
+    0x76306f22, 0x681b2199, 0xc5343581, 0x54457ac4, 0x35e8997a, 0x3cce07b1, 0x62740045, 0xbd568b9b,
+    0x51b145f5, 0xb4596653, 0xcec1be58, 0xcdb53399, 0x208adba6, 0xef3a73d4, 0xe9443fa1, 0x0f08cea2,
+    0x83ee8f4b, 0x15e7f821, 0x3a066513, 0x70c497b6, 0x1ebe5854, 0x7176b068, 0x1af2e616, 0x3a617b37,
+    0x631ed31c, 0x0682159a, 0xb693156f, 0xec45e802, 0xb86c65ed, 0x7d755dd4, 0xec2aa931, 0x4292adbe,
+    0xc368177a, 0x4e63f09e, 0x16779bdc, 0x424298d7, 0xe0d8d7a6, 0x9e422fe3, 0xa0be3200, 0x52c584da,
+    0x6b91af0e, 0xf8b1bb4c, 0x1733a690, 0x90d638f5, 0xd2cba0ca, 0x073b251a, 0x769195ed, 0x62d21475,
+    0x8bf72257, 0x6a82693a, 0x28548edc, 0x6a199e39, 0xfc19be16, 0x1ab449a2, 0x9c454740, 0x89dcbe63,
+    0x90200fba, 0xb0c719f0, 0x0971519b, 0x51fa3436, 0x67592c1e, 0x87053c25, 0xf13dc9a9, 0x66f22cb7,
+    0xce29130a, 0x9bad087a, 0xd7890b09, 0x701fb6d5, 0x2f3ec9a0, 0x8c30662d, 0xff2d2da0, 0xb88e0716,
+    0x18b91eee, 0x52356431, 0xac8f5df6, 0x7df1cccf, 0x7742720b, 0x482a6d30, 0xaec52606, 0x14aa4c87,
+    0x47b8286c, 0x2147bbb8, 0xa366f073, 0x05cfd5ad, 0x37fc164d, 0xa8722d38, 0x371585fd, 0x831965ec,
+    0x13be9319, 0xeb0e97e6, 0xb6dcc6c6, 0x9704de4b, 0x6a46d14a, 0xd01be67a, 0x528d1f56, 0xf9b0e939,
+    0xb46ac4dd, 0x294f68b2, 0x74bd7402, 0x4a806d4a, 0x7860e5ca, 0x7c09dbcc, 0x27fd0b0c, 0x563d9898,
+    0xd03a1ad9, 0xfbf0604a, 0x43df2a4f, 0x631dcbed, 0xddf70377, 0x51549588, 0x34030e72, 0x2efe3d5d,
+    0xe7675010, 0x4fc6b32c, 0x6e6ce8f4, 0xcb3c674c, 0xd1f65706, 0xf290eb7c, 0xbfee867e, 0x92aaeb83,
+    0x51a26b86, 0x16bbb088, 0x5b075035, 0x6016480b, 0x6b7830cc, 0x37e534da, 0xb9e05990, 0xeac78b59,
+    0xac8d179e, 0x4662e65c, 0x76947c11, 0x86c88359, 0x85831700, 0x43a8015e, 0xa74d3145, 0x6fbc9ee7,
+    0x7ea34063, 0x46ba22b6, 0x3e80fd7f, 0x9b7a0712, 0x0fd8964b, 0x6b8e08a7, 0xb18f3ab6, 0xc635ea0d,
+    0x77a94233, 0x570dcecb, 0xda7681a0, 0x0a2f017d, 0x94783032, 0xf6db704c, 0xc51ce916, 0xa535cf63,
+    0x917be966, 0x811858d5, 0xe807c174, 0x54b3aadd, 0x00e3a007, 0x81f442b8, 0xe5531de5, 0xa0258872,
+    0x41fc0c95, 0x71d128f5, 0xf933276e, 0x9218b3d6, 0x242a6338, 0xa7c2131c, 0x3cdc0696, 0x01fd4f02,
+    0x9455eef1, 0xdc1810ef, 0xd791c7bf, 0x3b95691a, 0x7cbdcecd, 0xf1c3eb61, 0xa613f3a2, 0x78784b73,
+    0xe877263c, 0xb1be059a, 0xd8e95ea7, 0x11dd0eee, 0xca8bb29c, 0x8645f78e, 0xa074fcb7, 0xe66b35c6,
+    0xdaaa2e40, 0xb046e7d9, 0xe989627f, 0x20c185c0, 0x2a1ac311, 0x51a7dfe2, 0x1d387641, 0xaa413c13,
+    0x63039841, 0xed17a0ec, 0x15cd7e22, 0x69130fbe, 0x6061f623, 0xabfea0ee, 0xb3c564c6, 0x4617f530,
+    0xf4260735, 0x38d8904b, 0x5d660890, 0xeab4b7d1, 0xe1fde695, 0x747fb654, 0xff29ae09, 0x0755bf0e,
+    0xbd1dcae1, 0x3958389a, 0xaf7b5820, 0x64fbd0cc, 0x0cd64eba, 0xf0408767, 0x633ffbe9, 0xdf698753,
+    0x0ebeb25e, 0x58956b42, 0xf908d701, 0x4657c2a1, 0xa12af529, 0x431984aa, 0xa9e4cbd8, 0x11f854bb,
+    0x9ec8c999, 0x89a8c920, 0x53fbe7f1, 0x48c19868, 0xf3993ac2, 0x886bc061, 0xd5245140, 0xb68eac56,
+    0x736e1c1c, 0x15a13450, 0x4a5f72cd, 0x3cef50ac, 0x34f00ef3, 0xf962a8ed, 0xf0815735, 0xfbdeefe8,
+    0xdf67218c, 0x9e2caa60, 0x9ee3fa83, 0x5753f131, 0x7f3e4247, 0x8512f394, 0x9a875dee, 0xe3969149,
+    0x2e1e4d54, 0xc83722ce, 0x8b408eb7, 0x5e9ffc4a, 0x311de0bc, 0x7d73d185, 0x6792ec3b, 0x417b709a,
+    0xf47f2f32, 0xd06ece63, 0x53ee857e, 0xa2c48c1e, 0xcd79d585, 0xba2b8591, 0x74927dfe, 0xdbc1ebea,
+    0x1c62a693, 0x32e82e58, 0x6c7a8a2a, 0xa1a8d941, 0xbbd78757, 0xa76f845b, 0x0d816e9b, 0x44ebc161,
+    0x11608ecb, 0xdecc676c, 0xe156480a, 0xf0179b87, 0xe60d1ad2, 0x8f37ae9c, 0xeab18314, 0x5d130397,
+    0x3e7f7ded, 0xbbe99a76, 0x696107aa, 0xad2a2eeb, 0xa001e26d, 0x8e377a47, 0x86785ba4, 0x3a21f34b,
+    0x99a0f438, 0x6d824d7a, 0x1a29f62c, 0x478fd0d3, 0x0ece7805, 0x6c3824ba, 0x5abe80b8, 0x9c81aeda,
+    0x9523379e, 0xcc3df2b2, 0xd7acacaf, 0xd8f41489, 0xfc299c68, 0xeccc2ee6, 0x0980de7a, 0x5e76d08d,
+    0xbb072eb4, 0x6987f9dd, 0x882c306a, 0xe2f1a2ff, 0xaf3c081a, 0xca24e5fe, 0x171ebef8, 0xa88f70c7,
+    0xe9534173, 0x1d20161e, 0x1cff5791, 0xce4bfddd, 0xd2d01a40, 0x80ec4151, 0xcbf0014d, 0x6ccdac0b,
+    0xe9124c56, 0xe98f75e8, 0x6819ab49, 0xb3b9b2d3, 0x6b137943, 0x89262cc0, 0x9e20d57b, 0x0f4ecc1f,
+    0x26fe6c32, 0xbdf01cab, 0x40138823, 0xf3fb6b9b, 0x62bc1754, 0x2151a227, 0x78a81002, 0x5b73dcae,
+    0xf31b0616, 0x97991c0e, 0x648c6f83, 0x3241e172, 0x26ca172b, 0x183793b8, 0x48710bee, 0x489e07b8,
+    0xa6d7e80d, 0xe19c8723, 0x42918417, 0xcdbaa273, 0x25c8701f, 0xabecdb8d, 0x2cdd3d85, 0xe285cb44,
+    0xbff5a191, 0xd7d8b570, 0x940063ef, 0x7d056fbe, 0x742cd182, 0xa816b3a7, 0xb1e9667c, 0x0deee139,
+    0x71154c07, 0x7a0eec83, 0x617d00bd, 0x33445882, 0x0b89f286, 0xc70e7074, 0xc31ec816, 0xa26e65ba,
+    0x8b31de7f, 0xac159bf6, 0x70efaeb3, 0x447f4b8d, 0x8e004581, 0x2bde0619, 0xf468a707, 0x60456e1a,
+    0xefd16d22, 0x4d18772a, 0x7102bd10, 0x3e6a5f40, 0x1383d714, 0xf443ec62, 0xef30a38f, 0x839b00c2,
+    0x138be7a9, 0xaf2d0e73, 0x674ec8b9, 0x1dab548c, 0x65930742, 0xd764a641, 0xd0881135, 0xd286501b,
+    0xb1f8d29d, 0xc0461c47, 0x87f7e727, 0x15cea76c, 0xd719cab7, 0x9d3c70b0, 0x77157362, 0x70129326,
+    0x3f68b0a2, 0x879e94fb, 0x9f778bac, 0x8331196b, 0x2ce8879f, 0xe8229d75, 0x41f6cfdd, 0xe39e6a56,
+    0x8fcd0071, 0x6be19d14, 0xd9ee824e, 0xa89b9830, 0x9c755d27, 0x4297d7d5, 0x144e2e65, 0x193da1cd,
+    0xddab7dcf, 0xae25a095, 0x1bef2e2b, 0xd5e5e3b2, 0xb3edebcd, 0x035d115f, 0x6480ed22, 0x399f164f,
+    0x2d5a2526, 0x2947a09f, 0x3c9e059c, 0x95d5a373, 0xaaecff6a, 0x03bf5295, 0x007448e6, 0x8f24500a,
+    0x955b9b8f, 0xd086fa7c, 0xec5e7917, 0x4ff5ba14, 0xc7ed3b61, 0xb9a73c10, 0xafe7d3bf, 0x82c37574,
+    0x9b371f9e, 0x4801a97b, 0xe730ef08, 0x1c5ff1b9, 0xf8ee9bb0, 0x488bba73, 0x5d9a53eb, 0xa464bfd4,
+    0x5e69fce1, 0x2137e9ca, 0x83648727, 0x3b108517, 0xc1a7eb30, 0x4463d2c3, 0x08222d00, 0x13b1507e,
+    0xabbbe22f, 0x174c519e, 0x90645745, 0x81dfc76f, 0x150fcc57, 0x1316da0a, 0xeae148f9, 0x07329770,
+    0xd504bd87, 0xfb0c5552, 0x208c4d20, 0x7d989036, 0x524bee71, 0x8bd3d17a, 0x9df874f5, 0x1eb05e36,
+    0xe9fc4e79, 0x1d03bba7, 0xfd520b4d, 0x55a303f2, 0xd3a6ce57, 0x487a68d1, 0x32bca72f, 0x2c075138,
+    0x81de7074, 0xdb418072, 0x989229d3, 0xb37e1dbb, 0xb28ecd90, 0x47a49471, 0x97d310c8, 0xe7aec91d,
+    0xd06aa6d4, 0x60ca8c72, 0x33855764, 0x268699cd, 0x81b11c4b, 0xe722b814, 0x45ffb237, 0xc23a308d,
+    0x406fb43e, 0x7d5a240d, 0x69721f21, 0xa051e098, 0x4f54e8fc, 0x934da4c1, 0x614831a7, 0x1201081d,
+    0xfa0da8b3, 0x45d303f9, 0x3785592d, 0xa423366b, 0x8eb56ced, 0xd3b4608d, 0x7a110cb0, 0xfba40d09,
+    0xae3e740d, 0x86790d56, 0x673f7416, 0x591e0e6f, 0x2aa33e66, 0xcfc7165b, 0x383b4792, 0x90039581,
+    0x75e1797c, 0xc567c136, 0x400ee324, 0x9c83b65d, 0x8abb68eb, 0x53488cb0, 0xf2cd2b86, 0x119f64d1,
+    0x818e8a1a, 0x2e17922b, 0xf1037a93, 0x915fe6d6, 0x9a9f8f43, 0xdafb6ebb, 0x6f57c9a0, 0x070b7cb6,
+    0xfac78eb0, 0x78bc63e2, 0x1ce3205d, 0xafd75a57, 0x589793e7, 0xa795266c, 0xa25592f5, 0x1d5ceeae,
+    0xd6ea90b3, 0x9ac16917, 0x1fe2e2ce, 0xd421f892, 0x0a980300, 0x765f8db6, 0x760dc1e2, 0xb3534e6d,
+    0xd334b404, 0x3c1892a7, 0x19ff4f75, 0x84d3ec92, 0xcdad2c08, 0x90cc6dff, 0x8ceb4eaa, 0x62c0dd7c,
+    0x4ba9c241, 0x32c7c951, 0xb7312fa6, 0x3ccece3a, 0x099633bc, 0x30f8841e, 0x924a7117, 0x957bb4d2,
+    0x5fe240c8, 0x2e066f5d, 0x2bfbf41a, 0x4e5569eb, 0x5fa014a7, 0x5df28f9c, 0x892dc71f, 0x8733cd7d,
+    0x73157cf3, 0xf30b4d5d, 0x7494d854, 0xf633a3a4, 0x0e80f797, 0x15f1a4da, 0x5fdd3203, 0x896bef20,
+    0x4e0f526a, 0x6abb7c49, 0x310b9884, 0xb3faae1a, 0xc56e6033, 0x2a904ac9, 0xe40fbc19, 0x6dde25e2,
+    0x2decb9a5, 0x5cdef8fd, 0xc6e04f47, 0x9a9edc44, 0x3cac4fcf, 0x02fb90f0, 0xdd11b69e, 0x6fc5b0d2,
+    0x89447ee1, 0x9dc78746, 0xeacde0d7, 0xce4e5ec8, 0x2b09c8b2, 0xc18d639b, 0x1a0d63a8, 0x7b1f14ee,
+    0xe071a155, 0x0b2651ea, 0xe16aa678, 0xb34d1c24, 0x8475c1eb, 0xa7327042, 0xa951722d, 0x8701f6f6,
+    0x015b515a, 0xe90a9f8e, 0xfcc25377, 0xda70bdd7, 0xed3423dd, 0x9bd6bc40, 0xf75916ee, 0xf94e62ac,
+    0xeeef1a56, 0x48d970d0, 0x0d840f1b, 0x394216a8, 0x89ed775b, 0x04d13047, 0xd20c7f46, 0xfa44788c,
+    0x64530c0b, 0xc11313e9, 0xb308aea7, 0xb557d765, 0xfa89d573, 0xae80ece5, 0x09a931a7, 0x47aacd39,
+    0xa8665d31, 0x09607629, 0x7ff18fc0, 0xa47009d2, 0x3c05692a, 0x9be4829c, 0x1ec5de96, 0x8722dfe1,
+    0x16c32bcf, 0xe3ca1cb1, 0x76af29bd, 0x51f2d75e, 0x489984fb, 0xede436c6, 0x9eb2cd70, 0xfc6e7792,
+    0x6676efb3, 0xe25cb557, 0x598bf149, 0x14a89e5b, 0x40fc4cf6, 0xa7331574, 0xda43d512, 0x6681d987,
+    0xe797e9c3, 0x446627be, 0xf6cc53d8, 0xed66ac26, 0x9561a8bd, 0xae9bf492, 0x785950ec, 0x714b639a,
+    0x9bd5fdaf, 0x05b9500b, 0x397d1150, 0x2ba370ea, 0xc827d300, 0xc6455509, 0x0e65b05a, 0x55bd45a0,
+    0xbe475700, 0x23841656, 0x3f7aca38, 0x627f5d95, 0x73040461, 0xc1c79fbd, 0x0b9d2268, 0x4253253c,
+    0xfe9013fc, 0xc44f4e58, 0xcc355e10, 0xcaad10a4, 0x650082ca, 0xe2476156, 0x46a260a6, 0xae34a361,
+    0xe82fbc9d, 0x45079170, 0xb10d7894, 0x9a91bb0a, 0x5c903cd4, 0x04cbda03, 0x5eeecf9f, 0xed3cd161,
+    0xc1e4dceb, 0x29714269, 0x805bbcb4, 0xf2d02bb9, 0xae38954e, 0x8aa7d743, 0xba5dc06c, 0x5aa7ff65,
+    0x321dc314, 0x5c60c3f6, 0xe88bd8b6, 0xa15b6ee1, 0xe3cca33b, 0xe5b4286a, 0x6e3cb8bf, 0x015ef830,
+    0xaebc9707, 0x09e9d366, 0xd27b59f4, 0x07a7f2e8, 0x38a5e2d1, 0x050245cb, 0xfe594e2e, 0x237d5373,
+    0x62ebd5dd, 0x686049f9, 0x7fba261b, 0x6c055d4d, 0x63c7baf2, 0xe3685733, 0xad16594b, 0xa2e5e6a1,
+    0xe00b3c13, 0xd91b19bd, 0x3e5f1ee1, 0xb522cc92, 0x2a57897d, 0xef36ee09, 0xb5b2478d, 0xb398da7e,
+    0xaf877adf, 0x38bd0448, 0x037fdf5e, 0xf063b330, 0x0836116c, 0x3eda5670, 0xf72c1f12, 0x5f577023,
+    0x11f8a0ee, 0x5df01702, 0xe9fc2bfd, 0x88a6a28e, 0x5f2e2db5, 0x212dbaf6, 0xb5279e93, 0x304fb5c2,
+    0x4e4343b9, 0xf4db51e7, 0xa0b17ba0, 0x6c45a66a, 0xa4bf1eca, 0x8f52ff4a, 0xc222ac06, 0x2e125af1,
+    0xe1ee4c82, 0x3c37657b, 0xeb84d938, 0x81520b86, 0x4f4427a2, 0xc51b7a22, 0xd42082c5, 0xa4a12b7f,
+    0x9d74b1f7, 0x6f065d92, 0x8c3aef7e, 0xf27ce45b, 0x39e44560, 0xffc5b6ef, 0xaefadc23, 0x54654b94,
+    0x756306f5, 0x2b02ae1c, 0x18fd2755, 0x0bdb1a28, 0xaf006213, 0xf6559a2f, 0xbebaa948, 0xe7a60984,
+    0x3af7be54, 0xb2704b94, 0xede38345, 0x11f88b10, 0x8ddd3ab7, 0xa33fa88e, 0x737612cd, 0xad85f22d,
+    0x0f353421, 0xdac32548, 0x0752c723, 0xae271d5b, 0x851441ba, 0xa65291b1, 0x145b2cd1, 0xe5ae0a36,
+    0xc5f47553, 0x8245863e, 0xa70125b0, 0xa294c08d, 0x49db5e7f, 0x8c20ec1f, 0x098a1cc9, 0xc64d51ed,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000012313126936373274753837200031294879314\
+                          08741852202045208373384168882678805359287831606695820465153613775207124697088 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b,
+    0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a6, 0x2f99af02, 0x1622ae0c, 0x5c1db415, 0x49c52f41,
+    0x00000000,
+    0xc4ba9f0e, 0x681e3cd3, 0xa4df6a1b, 0x927da0c5, 0x94dfa90f, 0x408d3e07, 0x86189e84, 0x7ce56764,
+    0xea8f0c99, 0x99d70324, 0x6e1edf67, 0xbf6b695f, 0x0dbc2a96, 0x56940012, 0xf464d1a5, 0xc56126c2,
+    0xd02d629c, 0x4c85c509, 0x86286591, 0x440c968f, 0xa498fa45, 0x3c127cd6, 0xef1262b4, 0xc3f04b0e,
+    0xa67f3411, 0x7942d893, 0x83981cc3, 0xad826d11, 0xbc8eb462, 0x9cff6fc0, 0x219a2270, 0x880db9b9,
+    0xdbb08cd2, 0x81103902, 0x52539353, 0xe8193505, 0xa2499d52, 0xfbf18813, 0x47cd934f, 0x0a75d5b4,
+    0x6a4a793b, 0xd5d1d170, 0x801b4174, 0x87b4f835, 0xed0a3ed3, 0x776397ce, 0xa3415bd1, 0xe624b572,
+    0x9eec30a7, 0x0b4fe471, 0xac5e97a5, 0xc2f845cb, 0xd27c25b1, 0xcbc01ab3, 0xa267fa09, 0xfc0ce947,
+    0xdbf9a7d4, 0x74d97ee7, 0xf2c13918, 0xf6b576a3, 0x192be6d0, 0x183e1daa, 0xe562f8ca, 0x56887adb,
+    0x42270c63, 0xf6805af1, 0x6300a064, 0xacc78f49, 0x1a5af73d, 0x72e8d728, 0x494ebd86, 0x6db07b7e,
+    0x43df4f60, 0xb9dcbea9, 0x80103c88, 0xbe9edadf, 0xcd7cd33c, 0xf378663b, 0x53e67e89, 0x12a64ccd,
+    0x3ff3085f, 0xbea1a5fd, 0x8c70e2ed, 0x6236ca96, 0x14e66d89, 0x8cc8146a, 0xab7bdc71, 0xa997d603,
+    0xd1f2c920, 0x70320dbb, 0xaf60b566, 0xd0ee9454, 0xc1e5935e, 0x2797b92d, 0xade67c8c, 0x1cb7f778,
+    0xfd11a65f, 0x3357d3da, 0x116e4ad5, 0xeb3b681a, 0x6c7b468a, 0xf545b08c, 0xc1bdcec7, 0x16def758,
+    0xa9c82b3d, 0x469db457, 0x461e5602, 0x7a4b1ee5, 0xc776fe47, 0x144f6153, 0x787ffde6, 0xf0b5f123,
+    0x54641e3a, 0xaef15803, 0xdbaaf206, 0x63a532b5, 0x1e7fcc46, 0x91e7c563, 0x77c5a6c7, 0xb3a8945f,
+    0x28e19066, 0x7d16dede, 0x706cf3fc, 0xcc398d66, 0xc88e2c3d, 0x8a004c0f, 0xda32431b, 0x5aa2192b,
+    0xca23af14, 0x4700bc8c, 0xfe4a424d, 0x2607fb98, 0x71d4e4ca, 0xb08352b8, 0x6cb947f0, 0xe3406b16,
+    0x205999b0, 0x50c5ea5a, 0x41bfa88f, 0xe74b6776, 0xbe59eb54, 0xa4d492d2, 0x1f157377, 0x19343ef3,
+    0xde0bf3ff, 0xb9abc2df, 0x1562d6b2, 0xc46b4e70, 0x304c0437, 0x98f89887, 0x8eedbd88, 0xf2b43d7c,
+    0xacc7ba91, 0xa79a58c5, 0x8d6e8388, 0xf94f80c8, 0xfb5ac459, 0xd217d7b0, 0x00332093, 0xf0362faa,
+    0xfe296dc4, 0x9aa421bb, 0x29bec2ed, 0x219abd96, 0xc6a24720, 0xfe522de2, 0x3c561d3e, 0xaf013392,
+    0x9c26728d, 0x81ed2ca8, 0xb0a79fa4, 0x6eb37a64, 0x61475268, 0x4dd3b8a5, 0x9ad10ff2, 0x5b78044c,
+    0x1a0c2007, 0x50471acd, 0xc1cab81e, 0x619d7518, 0x175467b7, 0xc790963d, 0x74edbbff, 0xc3ef73a1,
+    0x382365bc, 0xf7c84b69, 0xc1c400ba, 0xac3eae28, 0xed6105f8, 0x7ba381ef, 0xf1a9715b, 0x85f1db4c,
+    0x613ef64e, 0x0b252294, 0x2a9b942a, 0x815bf9f5, 0x7e7ec1ee, 0x1465c496, 0xf5320541, 0x41e373f9,
+    0xa39b6a39, 0x6661fe7b, 0x8440dffe, 0xe81d507b, 0xd62085ec, 0x57b70fff, 0xa51678b3, 0xc99c4545,
+    0x7457690c, 0xbf375d8f, 0x938f4b2a, 0x9618bb81, 0x07f9cc08, 0xf9cd3f15, 0x6793a014, 0xeadd3de8,
+    0xefee14f3, 0xe256b042, 0xb42ef550, 0x2b3412d4, 0xff43efab, 0xe33653b2, 0x1ba55d0d, 0x0de83c91,
+    0x9d490152, 0xc8f9052c, 0x9b78a628, 0x9aa749df, 0x0d6a76c0, 0xd995f6ba, 0xc0b296c8, 0x91e383e2,
+    0x4d4c22c5, 0xa46725a7, 0x554d2c30, 0xc6119b08, 0x9d41d3c0, 0x245fb6d7, 0x42cb59e4, 0xfd0ce55f,
+    0x4d26f2ca, 0xdf9db833, 0x280538a4, 0xde4c18f1, 0x877da9bf, 0x82f88b7a, 0x1fed5b39, 0xbca7faba,
+    0x748d8d2d, 0xbd7b4eb4, 0x06d17fb0, 0xb20b3aac, 0x0bdf662e, 0x830467c1, 0x2f40ab85, 0x91ca2d20,
+    0xfec6756f, 0x1956d591, 0x9eca3b9a, 0x68f5b1a8, 0x00b249d4, 0x9fc1b442, 0xebff4b87, 0x8550f283,
+    0x6be8680d, 0x131a73a2, 0xb8422d3e, 0xcef70ab8, 0x362fe4b8, 0xc8bcd57b, 0xdd987203, 0xbf0e0fbc,
+    0x96bf52ac, 0xea841d6f, 0x492d0fda, 0x4919b7ae, 0xdb122f0a, 0x54dd4dd4, 0x58345d04, 0x96b80999,
+    0x91d423a6, 0xf44637df, 0xd85e539a, 0x65896a1b, 0x6980c70f, 0xe8d324f3, 0x2344aafa, 0x9d9033a8,
+    0xe0a5002a, 0xaeab9178, 0xac0d72f8, 0x05db7d1a, 0x5a46f64d, 0x79814140, 0x68a8e728, 0x586ed7cc,
+    0xe96484b1, 0x24dc2785, 0xbdbddb9b, 0xdd3c0116, 0x7dc44f21, 0xa42a40ba, 0x1684d098, 0xe8200eba,
+    0xe7ff12a7, 0xb6a637ba, 0x7322542b, 0x03a6fb0d, 0x371d6494, 0xe214b035, 0x3f631bf9, 0x3b50441a,
+    0xb0ac51d1, 0xf61f4ffd, 0xe99675c0, 0x8c1bd89c, 0xc52bf419, 0xf44d2a41, 0x02de0b98, 0xd90befb9,
+    0x748d2cf6, 0x70b5f934, 0xbda9eeda, 0xa81d64d9, 0xa23671a3, 0x9d848a55, 0xac9c9d8a, 0x0d65abdc,
+    0x3c51eaf8, 0xfcb17c12, 0xd8ebc535, 0x5224ea28, 0xbd9ad869, 0x2ee890fa, 0x663b547e, 0xef934db1,
+    0x74436721, 0xbf168962, 0xb4901f1b, 0x79075051, 0xd84064d6, 0xa1f1a1a8, 0x44504b70, 0xa63b12e7,
+    0xc6200e6e, 0x0f4fcb1c, 0x26982e7c, 0x82b8c509, 0x56d57eb8, 0x7cb6081f, 0xbb696eff, 0x34111fe9,
+    0x39d8e38f, 0xda8a9372, 0x46309b37, 0x2d8a100e, 0x29b56450, 0x844b81e8, 0x753f8c08, 0x75b33cb6,
+    0x2359fffe, 0x1c53e030, 0xb67269a9, 0x6b08cd89, 0x71695165, 0x9fbacb07, 0xf97a69a3, 0x547c01be,
+    0xdff0dc56, 0xc57da3f5, 0x0caffe89, 0xd6d13528, 0x3142a606, 0x2f7f036d, 0x3f8b8a92, 0x2dedd70e,
+    0x60f54a58, 0xe96bd3e9, 0x4d04d750, 0xe2fc4006, 0x3ba032ae, 0x8854343f, 0x562eaacd, 0x670ce439,
+    0x43f3e668, 0xa04e8473, 0x60823fd0, 0xec8d317c, 0x0110410b, 0x253011d6, 0x7c301971, 0xf9dd240e,
+    0x888cd8bd, 0x0d1d9111, 0x8871e70e, 0xf3de7272, 0x94fd0a85, 0x5351808b, 0x78831dc2, 0x1c0bbc73,
+    0x24806afc, 0x1c17b0e1, 0x18065c8b, 0xad27a2e4, 0x25bd4b87, 0x026f1a2c, 0x8533f0e2, 0x660478af,
+    0xff462c90, 0x1fcde26f, 0xb554d241, 0xc7c79d10, 0x9b7ddff1, 0x67672bd6, 0x1540c058, 0x80e1ed80,
+    0xb2eafb32, 0xfe1b88e2, 0xdb02a57a, 0xb3df6c8a, 0x580ec517, 0xdf93737d, 0x45cacf38, 0x7f82117a,
+    0x641dd237, 0x38b9e911, 0xacfcd593, 0x74cd3d45, 0x35c35de8, 0x455759c0, 0x0e8c7853, 0x25727d6f,
+    0x612122b2, 0x2d3f810f, 0x83403266, 0xa9339f93, 0x087721d2, 0x36be34e7, 0x08f05500, 0xd603e11a,
+    0x79f77e6a, 0xe2712557, 0x9ce8e7dc, 0x39130974, 0x6b98291a, 0xe33acb60, 0x6dc6b95f, 0x1304c789,
+    0x24c0dffa, 0xb5e9a53a, 0xaf7d08c9, 0x8e244082, 0xa59a7db9, 0x79bacd25, 0x4067d017, 0x0ba42904,
+    0xd5002687, 0xcb8e97f0, 0xafb38ca4, 0xea3657e9, 0xba224d19, 0x76510cbc, 0x05361171, 0x4760b70c,
+    0x0c6e92e3, 0xa72d891a, 0x57a04a3f, 0xb9351ae4, 0x46676292, 0xf7dadac7, 0x6347dbaf, 0x62c2a6c0,
+    0x4712600a, 0x55613539, 0xabe6ad3d, 0x86c2def4, 0xab658eaf, 0x83da08b4, 0x1caa4c7d, 0xa7693c3d,
+    0xd6a47abd, 0xc74fa8e3, 0x78bd7f63, 0x8e76906f, 0xd267ae24, 0x70b09bac, 0xe482033a, 0x6147b4a3,
+    0xf578358a, 0x13f671df, 0xdca757fd, 0x30551127, 0x03bee1ed, 0xc28f0250, 0x21ded9f6, 0x5a6c667c,
+    0x404b3f22, 0xf5e5050d, 0xbf34d932, 0x08c7058b, 0xefb54a0c, 0x0a54c836, 0xd73f16b4, 0x60279484,
+    0x813ae628, 0x61d933c5, 0xce3be6dc, 0x869fa486, 0x1d9e94a8, 0xfed97630, 0x303a0f58, 0x7b1d9b65,
+    0xccbcf6b0, 0x629ce290, 0x95f1b1a0, 0x2a1d44ed, 0xa5dd3da6, 0x0d899d83, 0x6391ccb3, 0xbf58c58f,
+    0xe912e87b, 0xaac64014, 0x298648ef, 0x16cd47aa, 0xfaef2b42, 0x595651e0, 0x40e98521, 0x2e998d4a,
+    0x99bee67a, 0x9930f10c, 0xb6fb3397, 0xfb4d32cd, 0x4dc1ea84, 0x2f1c26cc, 0x515aac76, 0xd9b1b603,
+    0xec028e58, 0x204355bd, 0x6804d694, 0xd9b16078, 0x9fdc05e9, 0xe2d74a42, 0xa9f02237, 0xaf6de727,
+    0x7cfb98c1, 0xb3ee5ad1, 0xf5f2e01e, 0xbcef2a53, 0x8e17fd17, 0x084961ba, 0xa0735f54, 0x1d886419,
+    0x046e6050, 0x60390b54, 0x866a500c, 0xd85e1f6a, 0xb17381a5, 0x6921de96, 0x97d4cbaa, 0x82a151e7,
+    0x931a982c, 0x2e4ca614, 0xd3108ac8, 0x4cf37efd, 0xe8829a94, 0x6b8fc1d4, 0x09930ccb, 0xb3016dc4,
+    0x044d5b61, 0xeb135dc1, 0x7e44c7e1, 0xd54ba3a0, 0x83af5594, 0x544918db, 0x6cfaec91, 0x92760a05,
+    0x565228eb, 0x9077a1aa, 0x400e505d, 0x301ffb4f, 0x6032dba9, 0x79ee3d56, 0x4354b317, 0x18ac2771,
+    0x38cc11c4, 0xe6f13942, 0x83e21b38, 0xd47181b4, 0xd64e3d35, 0x25fc85bf, 0x5cc1d8af, 0xae9eaf15,
+    0xcb9602f7, 0x31f7fef0, 0xb028b4cf, 0x870254fa, 0x5650d4fc, 0x2d326084, 0x7d2f78e6, 0x07d1e4ed,
+    0x9a6ffb38, 0xe1ed65c0, 0x7cdca2e8, 0x960b98ed, 0x66acd72a, 0xf5be8666, 0xb4447e08, 0x107ab8e6,
+    0xffe4fbd8, 0xb3693818, 0x02cf7624, 0xce67858e, 0xe7e4eced, 0xed7afafa, 0x4bcd2e99, 0xbe52333a,
+    0xd7fd0e2f, 0x26aec888, 0x96e5461a, 0x9842ce27, 0x030f2156, 0xd40bafbf, 0xd6a63fcf, 0xbbefe6fc,
+    0xf2ec7605, 0xfc862e01, 0x81368c4c, 0xdafe93fe, 0xd70ffd8e, 0xdcf2e7a1, 0xffabd2d5, 0x9b4fd466,
+    0xad758279, 0x968f8189, 0xd997b28f, 0xbd5d4c82, 0xc7cc7cf6, 0x2f835d90, 0x4b8ef9c3, 0xc4a1b136,
+    0x2f8f9cda, 0xb90d2744, 0x31b49593, 0xb04fa10e, 0x57b08518, 0x01ee8229, 0xe446b6f3, 0xbc27e852,
+    0x0c131003, 0x6f71b874, 0x74008118, 0x2fe083ff, 0xbb61b86f, 0x3db3cebf, 0x0c61ea30, 0x6ed474e1,
+    0x6ac1e096, 0xac413562, 0x0c695820, 0xf6e0823d, 0xad3f974f, 0xe10f46a2, 0x3d406dde, 0x580792e0,
+    0x5f9ad2f9, 0x5a221430, 0x6a342664, 0x9e9ae92f, 0x1ec3f912, 0x6d1bc56b, 0x808add82, 0x966b7e59,
+    0x24e58fe2, 0xa4210dd6, 0x280f23cb, 0xe9f82c90, 0x5f8aa2c0, 0xe2bf5386, 0x5c929bd1, 0x9fcad162,
+    0x4af197f5, 0xe9fd1d5d, 0x34b78c2c, 0xa9f389d9, 0xbc2a6bbb, 0xed2a655e, 0x7ccca89f, 0x61bedc97,
+    0x0368087b, 0xca2b07d0, 0xc16f488d, 0x2b99dd68, 0x81602340, 0xdad02c3e, 0xe1e9d4b1, 0x80209496,
+    0xef9d6de2, 0xb2659301, 0x3123caf6, 0x7fe1600f, 0xc108407b, 0x9c25d86f, 0x38635380, 0xa360a6e4,
+    0x6231f2be, 0xd7cb60d7, 0x813b5df2, 0xdd3f5572, 0x00cd5169, 0x3e38b8cd, 0x99e9081f, 0x876b59c1,
+    0x820abfea, 0x761759f1, 0x078b52fc, 0xa7fefdf0, 0x518cb33e, 0x1a92280a, 0x215497f3, 0xb0d5cce9,
+    0x0d19c6a7, 0x3b351b46, 0x4897fc51, 0xd1492177, 0x2447cc0b, 0x7ea2616b, 0xa104eca2, 0x63003212,
+    0xd63243fd, 0x09776c2b, 0x67491bd6, 0xd9f3245f, 0xa8369534, 0xb32dfe04, 0xad2fe0b5, 0x8e5fb7e2,
+    0xaa68a51e, 0xc0e72021, 0xe0b0ec5e, 0xe66116cd, 0xa98a02ae, 0x92c70cfd, 0x94f932a2, 0x47ced37a,
+    0xbec1e067, 0x792aaac4, 0xa3c57526, 0xe5f37639, 0x0f25eccd, 0x7210e80a, 0xdfc0f8b6, 0x2d56b2da,
+    0x6c1d19dd, 0x2be074fc, 0xe6caf7f5, 0x70d5661e, 0xb9fc8f13, 0xf98a1808, 0x55bcabbe, 0xa6c74d90,
+    0x78498493, 0x7309196d, 0x6738df15, 0x6a24187a, 0xd0d4adc0, 0x0e94dc52, 0x76c86035, 0x4e0fa3ee,
+    0x183bb034, 0xb060921e, 0x662a767a, 0x6d133f13, 0x4c6ee399, 0x3e282ce6, 0x2183b77d, 0x57b82daa,
+    0x32370d1e, 0xd4d52750, 0x688564d6, 0x1ffb2787, 0xf6f69782, 0x490b9cd2, 0x4af8c94b, 0xcd48ad22,
+    0xd3a41bb9, 0x63ac17da, 0x1a8371c9, 0xc745d494, 0x003c149c, 0x5ce8cf63, 0x9ba15987, 0xd378cb89,
+    0xd37ac767, 0x55f151a5, 0xb972748a, 0x2ca103cc, 0x5d2a436e, 0x249c4ce2, 0x3500d4e7, 0xe0c3b274,
+    0x6b951106, 0x1cc41943, 0x24601b98, 0x14480aba, 0xb922defc, 0xd2b2322a, 0xd818dcea, 0x0593174b,
+    0x9f4ea1f1, 0x5bcc16f0, 0x3a0a2430, 0xc97bb7c0, 0x1822405c, 0x6ea97adb, 0xe751efd1, 0xf900bc4b,
+    0x5314022e, 0x82fe4548, 0x45f3a5b7, 0x6a78a4a4, 0x9ce511ba, 0x4d2943c4, 0x2c439278, 0xe22da373,
+    0xfe584327, 0xb5b409f2, 0x511b7a7a, 0x31a6569a, 0x2823943c, 0xe23a41ee, 0x5912cd35, 0x9260b7e3,
+    0xbba9adc1, 0x36ce0129, 0x52ea1ec3, 0x48c924e3, 0x9a097aba, 0x8a073bdf, 0xe0ec2086, 0x9090b6a9,
+    0xeb1a20a3, 0xd0fadb38, 0x54a60448, 0x15bb983c, 0xfb906a87, 0x23cecf13, 0xd2509553, 0xc540c96c,
+    0x4f915aa1, 0x187d4b3e, 0xa291e415, 0x5cd78131, 0x430db3ce, 0xdf26de31, 0x092852d1, 0x76923cab,
+    0x0a53200b, 0xb45fb8db, 0x17f02097, 0xffdfcbfb, 0xf8cf6a5f, 0x8a8c99f2, 0x50ae150a, 0xc05453af,
+    0x39afacd7, 0xbb4b1c20, 0x647d50da, 0x15481425, 0x0d5cdc34, 0x723c312a, 0xdd06d1f6, 0x53b5ad93,
+    0x3ef7a021, 0xb84b7481, 0xf231662c, 0xf73ece9d, 0x56fac33f, 0x99bdf7f3, 0xc6a9f3c6, 0xfcd06172,
+    0xa088173e, 0xcfa8ab66, 0x12f6fc30, 0xc2efced0, 0xc68e1690, 0x863805a9, 0x666bfc1d, 0xaf13fb43,
+    0x127293f5, 0x8420f61f, 0x8b3597c4, 0xb068c0f3, 0x161c4957, 0x624a468c, 0x806ee5bc, 0xe6cab5c4,
+    0x1697ac5a, 0xaa969d27, 0xfe00df33, 0x2fb2cc14, 0x117be048, 0xf46fb4b0, 0x6b48b2fb, 0x2f76dc6d,
+    0x9f714e4a, 0xacc7a06e, 0x9844d23c, 0x746cd347, 0x060a8124, 0xae730977, 0x74098c5d, 0xb18fc0a4,
+    0x96c55672, 0x154d63bb, 0xd815a31f, 0x40f2c702, 0x6e00fac7, 0x84c48a1f, 0xc573df4a, 0xeb8ba1bb,
+    0x81c48595, 0x3d24752f, 0x8fd5bbbb, 0x789527a4, 0x5c300b28, 0x54864b57, 0xe2df191b, 0x13e22606,
+    0x66251e9f, 0x0d4898c2, 0xb9cdb53f, 0x3aef789c, 0x88a7ec54, 0x718eb93b, 0x2d91721c, 0x74f41f68,
+    0x6eb439c4, 0xcfe237c9, 0x17408862, 0x220b5b70, 0xee75bade, 0x70dcf0d2, 0x47819be1, 0xb990cadd,
+    0x521659b8, 0x412f9163, 0xcb86e836, 0xe834d086, 0x2d76ed58, 0x0de179c5, 0x4bb09175, 0x72e89650,
+    0xb3f45835, 0xaf8a40ad, 0xe1771f25, 0xc25a4ebe, 0xe562ef52, 0x1850079b, 0xc677d375, 0xbb0b6426,
+    0xbd4130fb, 0x6b05dcce, 0xde53871f, 0xcdffb564, 0x4c4b826b, 0x5b0f9853, 0x94993131, 0x3253bba4,
+    0xf3f10fc4, 0x0c511195, 0xfba253c2, 0xedad1043, 0x1ceff725, 0xc20db769, 0xc60fe274, 0xf40b6ff5,
+    0x23240dad, 0xa93dec5b, 0xfce4b36c, 0xc5557e52, 0xea1d8644, 0x18208a1f, 0x2e7ddc54, 0x34c91485,
+    0x75802bf4, 0x797d749e, 0x7c06354c, 0x0341e89a, 0x514a4c85, 0x5557ca37, 0xcea74fee, 0xb36d90dd,
+    0x2e95c273, 0x0993352a, 0xd754a0c0, 0x0c91292b, 0x24926441, 0xc9b99064, 0x68400dcd, 0xd7f1ddc4,
+    0x63e60580, 0x84360dbd, 0x1d2a6ceb, 0xb638d559, 0x6e18fb77, 0x5fbc402b, 0x4845a93b, 0x68ed9c91,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000006156563468186637376918600015647439657\
+                          04370926101022604186692084441339402679643915803347910232576806887603562348544 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125,
+    0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d3, 0x17ccd781, 0x0b115706, 0x2e0eda0a, 0xa4e297a0,
+    0x00000000,
+    0x9eafaaec, 0x9d8562f3, 0x81021c5a, 0x81fd46ab, 0xa29e323f, 0xbde93910, 0x9576d752, 0xa3bb92b0,
+    0xc32da693, 0x2ac3d2e1, 0x61784396, 0xb63ad690, 0xbc81869c, 0x47b61d8a, 0x8d04ae08, 0xbf6a9d4e,
+    0xf91edab0, 0xbdb8f69a, 0xf23067d1, 0x3fd6fe11, 0xaedd9c97, 0x26d04cff, 0x530f2bcd, 0xd7910b7c,
+    0x0c7154a0, 0xedaae9ee, 0x08fc267f, 0x83350204, 0x7a99cb97, 0xf2e3a7bf, 0x0081e5cd, 0x24bba63b,
+    0x9e08012c, 0x50090d7f, 0x35cb7af6, 0x341de39d, 0xba22b755, 0x9b950a99, 0x9f36e9bd, 0x1b36de6b,
+    0x70b157a3, 0x350e023f, 0x62e3fb46, 0x1b378f18, 0xcd0422c9, 0xdd1b3e35, 0x6435895e, 0x6aafa65f,
+    0x49a28e54, 0x3d802468, 0x7c615b7d, 0xb4d503f2, 0xf0bb8d42, 0x387f1264, 0xdd1a8f2d, 0xbd42aa58,
+    0x6acdadc7, 0xf226df13, 0x0dfa4686, 0xf745551d, 0xd2364dca, 0x7aab9334, 0x415c9068, 0xad06ec8d,
+    0xa6284432, 0xefa52c8b, 0x23dfbf95, 0x0355fd9e, 0x9a4217e9, 0xca612ebe, 0x24bd5d3d, 0x513264c4,
+    0x479aa82f, 0x69b2e3a7, 0x39ec18d8, 0xd6836b42, 0xb82ea07a, 0x5bb32299, 0x66861b76, 0x935f3837,
+    0xecf23f31, 0x5b0c2025, 0x79ff68a8, 0x6ca72d18, 0x20f35d6b, 0xd400e9dc, 0x476acea2, 0x37624478,
+    0xa162b346, 0x43081e9c, 0xefeeb45d, 0x2342cf0e, 0xb0776ce5, 0x297cade7, 0x1f425021, 0x0f3801e5,
+    0x108fc4b1, 0xb734679e, 0x52a6f363, 0x28e32f26, 0xb1ddbe4e, 0x8a3a2341, 0xda73df47, 0x89ac9ed7,
+    0x2b304c4d, 0x8680c99d, 0x680329ea, 0xe366fa20, 0x1c642518, 0xca3bb0bd, 0x016cb582, 0xf5e78ec5,
+    0x31597f42, 0x852e4d37, 0x04b02a4a, 0x3663595d, 0x4450e7b9, 0xe9610b5d, 0x059b4e0e, 0xcfb46eeb,
+    0x48ea95e0, 0x66ca053f, 0x625ff84d, 0xe63e403a, 0x6bbafaeb, 0x23ce0236, 0x9ed36c42, 0xdf1d20b8,
+    0x70c49032, 0x411c1aad, 0x2cc9c994, 0x1e07143f, 0x4c2b1ca9, 0x764cbbb3, 0x311c1de5, 0x1acae4b3,
+    0x03f0731e, 0xaa460742, 0x6387f909, 0x6ac87924, 0x07413fea, 0x135b5067, 0xa94bbe2a, 0x33308b5e,
+    0x21104c8a, 0x2c7639a7, 0x416afd9f, 0x84f3649f, 0x2e029597, 0xfed22126, 0x3923e9c1, 0x36a53925,
+    0xac4a5f56, 0xd158f0a1, 0xc3f19df8, 0x9e9f0671, 0x88ec1de0, 0x882af1fb, 0x1be3d33c, 0xe4d76cab,
+    0x7b09f058, 0xe32ab9d0, 0x8af9903a, 0xba0410de, 0x5f450b5d, 0xb23fdc6c, 0x08f84998, 0x7d103893,
+    0x837d9cee, 0x755b4369, 0xb2005386, 0x2d5745c4, 0xff811863, 0xa43cfa47, 0x2b578d26, 0xb1760bf5,
+    0x4317ee0c, 0xb08230fd, 0x6071226d, 0xd623e973, 0x07d5251b, 0xb1a83165, 0x8fc4dcc2, 0xd2276fb2,
+    0xeea3a639, 0x9bb5fa07, 0x5175060f, 0x6caba090, 0xe5433970, 0x4a1266c0, 0x1a0deaef, 0x416e6651,
+    0x8ed61e5d, 0x25d99bae, 0xcb70096a, 0x29469ae6, 0x4052f5e7, 0xf0225655, 0xfe630659, 0xeb96fd65,
+    0x54d0e650, 0x8551ed4f, 0x43d1bf79, 0x684f79c3, 0x1aec0e0d, 0xe9d6cf48, 0x3580f72d, 0xbff81928,
+    0x4abd4f83, 0x87861718, 0x6db29c41, 0xc79e744d, 0xa245d949, 0x8328d125, 0x34e8122e, 0x6dfa6601,
+    0xd182022d, 0x6737d8a3, 0x34fd5965, 0x9829e920, 0x7fc021dd, 0xcb1efdbf, 0x27bf0418, 0xe5c24bbc,
+    0x2193eafc, 0x4b41ab11, 0x5f95e9c2, 0x5a1e833a, 0x50faed29, 0x9605210e, 0xd0b03937, 0xe9988762,
+    0x902f05c8, 0x075b3cd7, 0x81128bc4, 0x12da2932, 0x1ed950d6, 0xbbbfb388, 0x6a48861c, 0x05cf531a,
+    0x9ca5addb, 0xda652fb4, 0x6b8fd081, 0xfa57567c, 0xb4decff2, 0x2edfc696, 0xa566e7c4, 0x0a0275cf,
+    0xc5ca079a, 0xe7f71be2, 0xa36d3754, 0x225814c5, 0x268bab7c, 0xc8613c9d, 0x1a311f6e, 0xd73573e0,
+    0xd6ea12e4, 0x2b7c882c, 0x37e8d8e5, 0x01b6b8f2, 0xe7b67bc0, 0x7d807d49, 0xd5300fb2, 0xe953159f,
+    0x9737600a, 0x6b0d71f3, 0xcf9628de, 0x70300f65, 0x46b2a582, 0xbe1008ac, 0xa476e993, 0xe101477a,
+    0x0392c2e2, 0x119b5b27, 0x3e0097e9, 0x4fcbe2f3, 0x290a0b76, 0xb78a72bd, 0x7d750a63, 0xb8dc5f20,
+    0xfbd693ad, 0x3df91b16, 0x01c63cfb, 0xaa6eb857, 0x05aab4f7, 0x926c1dcb, 0x11937169, 0x48ed020c,
+    0xe284a850, 0x27cf571b, 0x29b000d6, 0xa324af11, 0xc1b9a35f, 0xf936e25f, 0xf24b9af6, 0x21048766,
+    0x3d60cbec, 0x066e96d3, 0x87b3f50c, 0xfeaeae0c, 0xfbab9e59, 0x640225b0, 0x1899688e, 0x9234099d,
+    0x806014e9, 0xbdf1e356, 0x6483beff, 0xfdbc9ecb, 0xcf71fa3d, 0x492c3280, 0x41b23dae, 0xab641fd3,
+    0xda7984ee, 0x31e36a88, 0x76f020e2, 0x2f036da4, 0x7f6b3a40, 0x59d36436, 0x6a6ee83d, 0x71d3b536,
+    0x397df96b, 0x1c62bb02, 0xab7feab4, 0x2451d364, 0xbdbc3e2a, 0x742fe775, 0x4c7c4151, 0xb0e839d2,
+    0xf9112f86, 0x46c45180, 0x0b8d1a69, 0xd4e9c6ad, 0x19ea4079, 0xa558bc52, 0x39c09a55, 0x6607d973,
+    0x94287c73, 0x8f07a0bd, 0x99922818, 0xf803362f, 0x5dad6846, 0xb8b88669, 0x6f886e5c, 0x2b90148b,
+    0x4dbc7069, 0xde8dbf42, 0x4ee65f07, 0xfc082b39, 0xff7d457e, 0x8c60ac5e, 0x4665af64, 0x74ddce2f,
+    0x8729f87f, 0xd6f62e6e, 0x4835581c, 0x3b840456, 0x677ff646, 0x147c7c32, 0x535932a1, 0xbfde1dbd,
+    0x9e037f20, 0x453d1ed4, 0xf2bcb0d3, 0xa942da48, 0xa620c907, 0x0b4a2d91, 0x634fea53, 0x59445ddb,
+    0x0ade301f, 0x9090184f, 0x79dd7649, 0xc2c9c920, 0xe75b4c65, 0xfb48a024, 0x0292fc36, 0x1995f96d,
+    0xb31f1777, 0x90b8d444, 0x2b8276ca, 0xe3ea1256, 0xfb9473c3, 0x26650179, 0x5964e867, 0x7bba2a03,
+    0x5e99ad25, 0xda3952ca, 0x54481019, 0x910214a1, 0x0a64324c, 0x75028537, 0x67ab2f12, 0xb5e31ff2,
+    0x2a0f7284, 0x79ea1a3f, 0x0d2f5ff9, 0x80955517, 0xca7166bd, 0xdfadd7bb, 0xcf5707a4, 0x7f590ec4,
+    0x34f04b4f, 0x40475e1a, 0x40e3462d, 0xe76b36bc, 0xf76b2f2f, 0x87f131b6, 0x2f99d29c, 0x0a2d522c,
+    0x1405ba89, 0xdfb3763e, 0xccaf20ae, 0x3e617c53, 0x1b53a4d9, 0x8859735d, 0x4840a14d, 0xe7fd554a,
+    0x46f18caf, 0x70d8c2ec, 0xcad377db, 0x3a89daee, 0xa9c94298, 0xe1390c8a, 0x77c9584d, 0x788dfd93,
+    0x62a18c55, 0x6d55cfff, 0x96aa453b, 0x5b60a502, 0x10f31693, 0xbb788fc7, 0x63a58e3c, 0x75024b8c,
+    0x394ddd5c, 0x023935a3, 0xcf98cb4b, 0x1fdd5b77, 0xa708c43b, 0xc2fe86bf, 0xe541dfe8, 0xac2eb7b0,
+    0xa457e148, 0x39ee26fd, 0xe8ba18a0, 0x640dba04, 0xb2e493f4, 0x7fa1df09, 0x5d679fa1, 0xd0edf051,
+    0xbd557725, 0x5ea984aa, 0xd99fac4e, 0x3ad74bfe, 0x1866da36, 0xf2cfe8f3, 0xc6ab0515, 0x57709c15,
+    0x9fdd5174, 0xcfdd927f, 0x880596f7, 0x5d1707d4, 0x170f64da, 0xe1e62858, 0xd61a055a, 0x11ff4c6a,
+    0x1ee964f4, 0xf5942bd4, 0x39320e50, 0x0a0913cb, 0xad1a6b39, 0x1d461598, 0x5bd1ea9c, 0x4cbe5d36,
+    0xcf59d0f6, 0x39573c0f, 0x0f934fa1, 0x4354f4e0, 0x0d698b67, 0x336048e4, 0x8e67a7b2, 0x53191c44,
+    0x25effeb7, 0xf81053f3, 0x191f4ce4, 0x92b76771, 0x7f8cd3fe, 0x5087039d, 0x1317cc6c, 0x403facbd,
+    0x31f2655e, 0x7a4017f6, 0xfac87b96, 0x2c9285c8, 0x127e30c7, 0x66885c90, 0x9ee90af4, 0xa64e5659,
+    0x18557d0a, 0x1b9d365a, 0x56b6e021, 0xa4c4127f, 0x5bb16942, 0x055ee91c, 0xd258cdfd, 0x33362088,
+    0xfdbe11ff, 0x740d9afc, 0xca7a379c, 0xe7ec6543, 0x772bae07, 0x44eddc89, 0xfbfecc97, 0xb94ab39e,
+    0x9eed3cb1, 0x47481895, 0x3dab48f6, 0x33fbacc5, 0xf236994f, 0x252cfab4, 0x04bccb7e, 0x8c5778ec,
+    0x3799f82b, 0xeaa2ae0f, 0xe055131f, 0xa3b63ca4, 0xc32a23f9, 0xd69bb3c0, 0x1047b2d7, 0x21adac40,
+    0x040cff32, 0xabbba3e1, 0x5164d594, 0x5157cee6, 0x3f57f9c2, 0x37a25681, 0xd9601827, 0x3c43942c,
+    0x059e639e, 0xb3ec0825, 0xadb2282a, 0x46e9bec8, 0xf0e7fe5e, 0x990b6c88, 0x512d7d80, 0xcf7d3c2b,
+    0x8fca7af6, 0x3a1dc0d9, 0x924a1b30, 0x69dded12, 0xb0115d3b, 0xcd895790, 0xa5f9acfd, 0x6c730083,
+    0x88986cc0, 0x63f36a9f, 0x17083002, 0x8c76c4b3, 0x751c39c4, 0x1b856481, 0xb648d923, 0x920a340f,
+    0xcd8088d6, 0x604c1e65, 0x2168683b, 0xbed8e22f, 0xe09e7589, 0xf68f5a93, 0x6f84ced0, 0x2e879db7,
+    0x9337581e, 0xd7931c86, 0x3cca8330, 0xa8ed00c6, 0xa219b552, 0x4438f284, 0xba740cfc, 0xbded2dcc,
+    0x53a6ef90, 0xbe1a3591, 0x13747d21, 0x9471e201, 0x186f79d4, 0x42b4027a, 0xb79e8841, 0x44ca6916,
+    0xd13d7add, 0x97a767b6, 0x74848270, 0x28cbadba, 0xb41a6ef6, 0xcac903f1, 0x1791842c, 0xd52c2c50,
+    0x2fdd7627, 0x885f1806, 0x2bd8fc27, 0x60c363ce, 0x8169d962, 0xdc12605d, 0x3968e388, 0x1706b820,
+    0xa2e9fa5f, 0xf5199460, 0x44b24fe1, 0x5fb6865b, 0x4dffc7d5, 0xb75d429e, 0x47bbd52d, 0x92e1e243,
+    0x0b2dc5ad, 0x56941e20, 0x07662ed4, 0x193dc7a9, 0x17d0ff11, 0x1d27bfcd, 0x7d39ab59, 0x3b8fd33f,
+    0xd1be8cd5, 0x15e9716d, 0x2fef307b, 0xd073152d, 0xd7388766, 0x22253708, 0xf3db3834, 0x431b1994,
+    0x7d1a053b, 0x20f53267, 0x977bdfd6, 0x08268fa0, 0x578bed7c, 0xe7947b6f, 0xac5ea23d, 0xb3d1055e,
+    0x10beec76, 0x5605afb7, 0x4ccaa402, 0x89e5cdf2, 0xd8ab8445, 0xd91286bd, 0x336c7bee, 0x836c49c0,
+    0x6ef91fa0, 0xec3f5f2c, 0xb78fe219, 0xab6bbaf4, 0x0eaafe44, 0x27e0daf2, 0xdc040bb5, 0xd6533ded,
+    0xd7013126, 0x815680e0, 0x7464ccd5, 0xa87d8519, 0x41833068, 0xce8decb8, 0x7cf2dff1, 0x1ee21105,
+    0x879c9c09, 0x05b09ad8, 0xd5483401, 0xf70a4af0, 0x871e4be8, 0xefe112c4, 0xb13feed7, 0x47141f1f,
+    0x2173b089, 0xd89e9f73, 0xcc935b38, 0x934f5793, 0x3b38cf2a, 0x2355e2c7, 0x9be120ff, 0x815d1d94,
+    0x4e63ebba, 0xc646d892, 0x29727c60, 0x0ba6327a, 0x25c069d9, 0x6d2fe526, 0x2ac3910d, 0x78e3f7fb,
+    0x514dd532, 0xd7b269c9, 0x5c73c1e4, 0x731f43bd, 0x49e01f62, 0xefd74e99, 0x1d1808aa, 0x6ee73822,
+    0x85a7bdf1, 0x1dd39558, 0xdb517449, 0x1e5cc149, 0x2ec9e7f9, 0xd26c6305, 0x4f837c40, 0xc381c333,
+    0x843038c8, 0xa892f84d, 0x2179f9c8, 0x8d7a220a, 0x4d42398b, 0x9c102209, 0x106de116, 0x11637839,
+    0x2a298441, 0xadee15d3, 0xc5c357e9, 0x98f0c9f8, 0xb0971f7f, 0xa60a0d21, 0x702c79ae, 0xcc3eab53,
+    0x88118a6b, 0x154006e2, 0xb0198ae8, 0x6c8d06e7, 0xb678db49, 0x849a6970, 0x9711c719, 0xd9d3c789,
+    0xbf1e6c52, 0x178a94cc, 0x736b8a72, 0xf2593bd5, 0x9a287acf, 0x17b14667, 0xad44887e, 0x4ee929ca,
+    0x86dd773e, 0x0b58cde0, 0x5be11fbb, 0xcb4d1738, 0xf65b3fad, 0x46edd073, 0x2fb8c59a, 0x05f8c746,
+    0xb103aede, 0x7864027c, 0x2358a730, 0xd8f78810, 0xb396cc36, 0x4c84d903, 0x81cbf655, 0xc2700199,
+    0x818e654d, 0x4f7c1295, 0x32e1f847, 0x8ef62dcf, 0x1aae1ac9, 0x1ab5d5c9, 0x15d5db52, 0xaadf55e7,
+    0xc9466e75, 0x8ba8854e, 0x1dac4fd7, 0x244e129f, 0xd743e2f0, 0x7b6c36d7, 0xbb6e076d, 0x9c525f79,
+    0x2ba15aa3, 0x93d512b5, 0xa318906a, 0x2a39933d, 0x87908968, 0xadd1f7f2, 0x3b0d1fbf, 0x2a77445a,
+    0x01eef0c3, 0x66a393c2, 0xcfcc9278, 0x0edfde84, 0x8dc6dffc, 0x9bc694b8, 0x08c3d4ea, 0x5e417960,
+    0xb3ad61cb, 0x0bda7262, 0x8b5528d4, 0x312064db, 0xb40ddefd, 0x1feb5579, 0xf45646ea, 0x0a5e003f,
+    0xc787c740, 0xe8d21c86, 0xd0a0316f, 0x74ccbbe9, 0xd1013a63, 0x4fff402d, 0xf57b5fb9, 0xa3270298,
+    0xe5f1ebb6, 0xf55e868f, 0x2b94ad1f, 0x3fd5580e, 0xa6d42ed6, 0x5ecaa0b9, 0xed59e507, 0x1e624591,
+    0x18a1b6d4, 0x28bfe77e, 0x863e3295, 0x3b4a89ce, 0x5b216648, 0x74e0f312, 0xd70042cd, 0x9a20fbae,
+    0x5d7b5efe, 0xc456931c, 0x815b79d6, 0xfd50ee69, 0xb861b86c, 0x8ac6321b, 0x0a8e4667, 0x53ab7c86,
+    0x746f2975, 0xabb5e5e1, 0xe1ebbd0f, 0x843e43dd, 0x6695692d, 0xafadfa55, 0xbc98bac5, 0x5362f223,
+    0xa2448032, 0x737b9163, 0x2f3badd4, 0x2bec35ab, 0x05ecb127, 0x27a5b1ed, 0x3bd58c15, 0x0a318b1a,
+    0xc36fd76c, 0xc4f9cfca, 0xb41b9a20, 0x858d0418, 0xe6d918a1, 0x68b2c77e, 0xbb5f3c83, 0xc009b636,
+    0xc613fafa, 0x06b88beb, 0x9f7352f9, 0xc3512b88, 0x68f0c0f3, 0xdfc70fa3, 0x6e9599ea, 0x692e0242,
+    0xa975449a, 0x46c6bfe9, 0xf4efc9e5, 0xb8aa960a, 0x8e476494, 0x870778b4, 0xc0c2fc14, 0x49c0e44f,
+    0xc059c438, 0xa88d66e9, 0xe0f649a1, 0xc7b3e2d0, 0xb13aaa6f, 0xc1122d25, 0x84ba680b, 0xc6fe3430,
+    0x880f24e2, 0x2f88cefd, 0xef2bff9d, 0x15d3588a, 0x5f8a4fb2, 0xa7105808, 0x9d4e864c, 0xede3c1ce,
+    0xacaf952b, 0x65600ce5, 0x00297694, 0xe63f4936, 0x680b4763, 0x843606f7, 0x6e635171, 0xe9cd86c6,
+    0xaabe41c0, 0x7e53a7ba, 0x8bbe46bb, 0x3d4a0d64, 0x35217f3b, 0x696bb41a, 0x74c417fc, 0x0cabce0a,
+    0x00c62404, 0xd95ca101, 0x8021d2b2, 0xd99fc55c, 0x3652b20c, 0x25440307, 0x371701a5, 0x175edf60,
+    0x614fda05, 0xa94b13a6, 0xbd690b1d, 0xb378f55f, 0x91f49f78, 0x1d51eaec, 0x20e9fc7b, 0xdf0924f1,
+    0x3c450a7b, 0xac75f5d8, 0x90ee4903, 0x33a55ede, 0xad5354d7, 0x918ff659, 0x73b0feeb, 0xb5cba58e,
+    0x9ea425e0, 0xd25ffb5f, 0x13142c3d, 0x0ab04686, 0x42119cb7, 0xb9cfbe2c, 0x90011ed7, 0x1612c49d,
+    0x8d8b939b, 0x1df6b24e, 0xfc729466, 0x4dac70b6, 0x84225de5, 0xf9de748a, 0x8ac32e66, 0x7ea0e420,
+    0xb531d77f, 0x20aac4c1, 0x4fd75dd5, 0x76581729, 0x8cb5d43d, 0x4850f94a, 0xc28cf929, 0x00905a8d,
+    0xe4aaa365, 0xe950ac59, 0xae437ce6, 0x092dc6a1, 0x350d6c76, 0x0ef6900f, 0x8775012d, 0x08491adb,
+    0x2f1ba7eb, 0x8059298e, 0xe8ed390d, 0xce130bce, 0x32a5d79c, 0x5842b9cd, 0xa7313d25, 0x700412f6,
+    0xbb30ee12, 0x13b2e450, 0xa9c64f94, 0xdabad95c, 0xee411bb2, 0xc080723c, 0xfe95ce6b, 0xe78d22e0,
+    0xeadff909, 0xba03840d, 0x915d5638, 0x6ec609df, 0x33a32740, 0xa2c41cf0, 0x4d81bf5d, 0x5180ebbc,
+    0xbb6f54b0, 0x6a55b5de, 0x94d42db6, 0xe18ce543, 0x44d809fb, 0x66d9b84b, 0x4ce461c7, 0x7e8b681a,
+    0xbc56088a, 0x4bdfba86, 0xd52f8cc9, 0x5b49cf75, 0x3f0f2135, 0x261ffdef, 0xc6688a9a, 0x134cdbaa,
+    0x0041f3da, 0xabaa2ad8, 0xf04e741d, 0xc5d40225, 0xeddb8080, 0x53cb1b39, 0x85090897, 0x773c326a,
+    0x53ad132c, 0x4d36ea77, 0x89fd22f4, 0xccad3a96, 0x749d3193, 0x37c1ae93, 0xddab136e, 0x4a1089e5,
+    0xaa64d335, 0x3e742fff, 0xabe28253, 0x61ff113c, 0x175b065c, 0xd1ce0e2d, 0x7a1c8c70, 0x34e5e83f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000003078281734093318688459300007823719828\
+                          52185463050511302093346042220669701339821957901673955116288403443801781174272 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092,
+    0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e9, 0x8be66bc0, 0x8588ab83, 0x17076d05, 0x52714bcf,
+    0x00000000,
+    0xc98d9a7d, 0x7f64818e, 0xc827c453, 0xed65e8d4, 0x447fe8e4, 0xcd2c5d4c, 0x428b5966, 0xbc9587e2,
+    0x7a9e9629, 0x29a3e329, 0xc8a2a0f6, 0x18d11912, 0x7fca62a0, 0x6823870b, 0x0c244a2e, 0x167bf22e,
+    0x29af54fc, 0x7d20190a, 0x316bbb70, 0x9a2e2dc3, 0x5b879391, 0x08a70013, 0x8811c8d2, 0xc41d0d04,
+    0x7bdd2a24, 0xca2d9bee, 0x6586b6ab, 0x97c08e29, 0x5096c031, 0x2ce4e6a9, 0x3140a0ab, 0x5a0fada9,
+    0x07880d77, 0xd2399ec3, 0xffc44b20, 0x163598ff, 0x024f8747, 0x78dcc92e, 0x89894631, 0x42dd23de,
+    0x87739296, 0x3a135acd, 0xc1f6facf, 0xe73c3e73, 0x1f883d00, 0x7252619a, 0xee861f34, 0x764ce59a,
+    0xe26a0b77, 0xc6910a3c, 0xd6f58ca4, 0x3a203f28, 0xef9de065, 0x154e1b4e, 0xeb86d1b1, 0x02f471f6,
+    0xa0b24fab, 0x9ef883f2, 0xaa1d34bd, 0xd8f71136, 0x1a3f5fb4, 0x3381861a, 0x27086d0c, 0xa98ff6f9,
+    0xe03f05f6, 0xe74d7d65, 0x6b6fe3cc, 0x29603f04, 0x81d2b03b, 0x0ff825ea, 0xb1032ca0, 0xd7997ff7,
+    0xfcd47c37, 0xbab453af, 0x03968dc8, 0x5e58886d, 0x38fe0252, 0x8e2de2ad, 0x345277f9, 0x2a0bf394,
+    0xe8c2b4fd, 0xb3f1f1ea, 0xa6005e05, 0x1f2b16f4, 0x5b7f1344, 0xc873197a, 0x91360274, 0xcc4ba786,
+    0x1c5e0b0b, 0xdbed3453, 0x9ad23734, 0x00230331, 0x2e8bd842, 0x86eb9961, 0x87471e76, 0xfbe0a144,
+    0xc908d80e, 0x80faacb9, 0xd962f112, 0x6122bc27, 0x7266af13, 0x296f2081, 0xe42897ed, 0xbc761808,
+    0xfa04f13c, 0x08c64eed, 0x54ebdd5d, 0x319860de, 0x9884a538, 0x90f15188, 0x7bb5caf2, 0xf29812f2,
+    0xe8415765, 0x4cb6daa9, 0xb59f624e, 0xc8a03a8f, 0xce2af650, 0x835b6c47, 0x3043d703, 0x4e041ef7,
+    0xccbe7de0, 0x81338a75, 0x06f3e066, 0x9aaa35c7, 0x0767d04f, 0x332488e4, 0xeca9d881, 0x748b6b9d,
+    0x340526a8, 0xbf7bc053, 0x13508faa, 0xa90a592d, 0x71b93ec4, 0x8180e0d3, 0x90a92d7a, 0x5b6750f7,
+    0xa92af11c, 0xf9259c24, 0xb92c8fc1, 0xdeb91b73, 0xed810b77, 0x73e143de, 0x7a484dee, 0x4c380edc,
+    0x056221da, 0xfe756f8d, 0x06e2a17b, 0x638fa079, 0x9db33a33, 0xbf018131, 0x948386fb, 0x639143e9,
+    0x5a457607, 0xfb107d3c, 0x8e9ab69f, 0xa7167643, 0xec00a3f2, 0x5f89fd40, 0x4a01fa4a, 0xef4da12f,
+    0xe585cbb7, 0x2cbb0191, 0xaf21cc6e, 0x3e507bd4, 0x28beb764, 0x4608be85, 0x3d05eb23, 0xabd8d7fc,
+    0xaa30ec07, 0x0c680a05, 0x6633d1e8, 0x5fdbb7cc, 0x94e3a136, 0xbd99268f, 0x583c17fb, 0xa87905b8,
+    0xa119a4e4, 0xf2c3c191, 0x8b578d9f, 0x3ad34ad5, 0x03f64b19, 0x7a2ac120, 0x345aafb6, 0x1f4e226e,
+    0x2b2cb4c9, 0x22a2543c, 0x58d08c8e, 0xb65ffc54, 0x6021e7d0, 0xa94905be, 0x6053125d, 0xcebfa33d,
+    0xd4135c55, 0x75e03f74, 0xceba0cbd, 0xe1c5a78a, 0x2da853fe, 0xf32bc50e, 0xd0a6462b, 0x4b1281be,
+    0x4f5bf6a8, 0x3f1725c8, 0xdf5f8a60, 0x32bf5385, 0x8bedf365, 0x86005970, 0xc48787ac, 0xf7462bf6,
+    0x13c88703, 0xe54b511c, 0x9168c82c, 0xeff75a20, 0x974ae588, 0x2dcf79ef, 0xc1b04120, 0xf705f801,
+    0x90faf85e, 0x8389f38d, 0x75ac37d1, 0x87cbbe87, 0xc39f7a96, 0xbe96ca15, 0x0ceb2b57, 0x100c61b1,
+    0x396aff4e, 0xefe50917, 0x3c08356b, 0xc9e2ffdd, 0x89acaeeb, 0x0be7fd73, 0x143c9234, 0x0e2f255b,
+    0x15d06c45, 0xa1f043f9, 0x568d767c, 0x8ac4b1f3, 0x92f00d49, 0xeb3a70b3, 0x682e6d70, 0x9430494e,
+    0x529597ee, 0xa7c4bd6c, 0x47804a34, 0x47952d01, 0x2517bd39, 0xf39961a7, 0xf7dfa63e, 0xebda3844,
+    0x2ff4b5a5, 0x6381bd69, 0xa64fc0a5, 0x81b5e11f, 0x42275a43, 0x3c703dde, 0xd77e4fd0, 0xa97db832,
+    0x0edb6f6b, 0x4f93cf28, 0x911ab6ba, 0xffd3c26c, 0xec7b9014, 0x7acaf4d3, 0xd729f38c, 0x8938f0d0,
+    0x929e541e, 0x563925c5, 0x0fa00c58, 0x1d8201f1, 0xc1b1133b, 0x62421873, 0x9229f237, 0x3efeaaaf,
+    0x12aa2a30, 0xa5253a90, 0xc4e142bd, 0x2904e9de, 0x632e1621, 0x3fcbeae6, 0xe6a8e390, 0x8af93308,
+    0x570ca175, 0x4e0cd7bb, 0xe3a9bdc4, 0xd70c3446, 0x76ae3112, 0xd6e7cc3b, 0xccb50f36, 0x47b8c2c5,
+    0xbed702e8, 0x3a38023b, 0x18932b48, 0xd41630f2, 0xb658b723, 0x13158e48, 0xe3d67d0c, 0x0e14478c,
+    0x5ddcceef, 0xf284b558, 0x2bc93bbc, 0x8f72dade, 0xb1cc0bdd, 0xe0ad0ff1, 0xf9ee4683, 0xda37a3a1,
+    0xbe91611d, 0xb529ee24, 0x87e78923, 0xf9906589, 0x78d73528, 0x8141a9a5, 0xc11c0377, 0x78e740ff,
+    0x62de2865, 0xb2804f33, 0x463fa3c5, 0x05de5f04, 0xe0fc98aa, 0xce23cb64, 0xe152ce8e, 0x028ee064,
+    0x8ffb0589, 0xff688937, 0x19b9b9a6, 0xb07aea1b, 0x679faa9e, 0x4d217bb8, 0xfb671daa, 0x66986b59,
+    0xd5cc47c4, 0xfe7e9d20, 0x6eb0ac85, 0x9974051f, 0x4135f579, 0x4010b246, 0xe9244680, 0x158e5f19,
+    0x0ff45e99, 0x0e642453, 0xb25020de, 0xa636a22f, 0x5c646b15, 0x4515b9d4, 0xbbde5715, 0x8540d9ec,
+    0x1d6990cb, 0xdd1069bd, 0xba6963e3, 0x09e76ab7, 0x65034bd8, 0xdd69ccfc, 0xbf2f2b58, 0x9f95c321,
+    0x122adb99, 0x0b4121e1, 0xe5da5fec, 0x363c7a91, 0x369fd566, 0xb2f8b72c, 0xcb70772d, 0x8a812325,
+    0x0cddfbba, 0x1f6ea21a, 0x89d2872d, 0x92533929, 0x4fd0d010, 0x5f9f8da6, 0x9c009622, 0xc51bb7b9,
+    0xde5af4f3, 0x7c4b4735, 0xc27806e7, 0x463cc77f, 0xec39d560, 0xd46c4339, 0x183cd11b, 0x8b267e22,
+    0xc5dff481, 0x4ec7c2b0, 0x8d8ffaa6, 0x31670b59, 0x2d1edbeb, 0xbb27e1bb, 0x128e856a, 0x7d220bbc,
+    0x935d4e33, 0xabfdf145, 0x495a2abb, 0xc95a1243, 0x9df5b0f4, 0xc86a8912, 0x2f536359, 0xeaf7de58,
+    0xd3f2bfc6, 0x6b43e16e, 0x81965021, 0x171413c2, 0x2c37e938, 0xd06788a5, 0x9e664aaf, 0xbd0cb8b0,
+    0x71c86733, 0x6561a791, 0xa25b61b0, 0x879302c1, 0xe2daa2d8, 0x3508af1f, 0x8f1d8b3d, 0x983a07ff,
+    0x7dd17017, 0x29f037c8, 0x792f2f75, 0xc7d57772, 0xbfdd5e59, 0xe8144435, 0xeb1bdf46, 0x91795e21,
+    0x50926303, 0x801009ee, 0x07cd555d, 0xf5c0acb7, 0xaa150673, 0xf6c66068, 0x8458df83, 0x2d5e0533,
+    0x90c6bbca, 0x8f706c88, 0xcff481b3, 0x840439d0, 0x6ff37a20, 0xfb87cfc5, 0x1871f639, 0x110b1ff3,
+    0x3d1d7872, 0x80e80770, 0xc26c54a1, 0x09812153, 0x1741b455, 0xa5f4c656, 0x6e03b8d8, 0xcd669861,
+    0x8266f0ea, 0xbce281ca, 0xaff57b1b, 0x17526543, 0x9248d08b, 0x78018920, 0x46c571b0, 0xb3a6bf55,
+    0xccb8096e, 0xf9c51c50, 0x9cc610cb, 0xe3eec689, 0x3521e5e4, 0x5bfb9f57, 0x1d96007b, 0xe5a52705,
+    0x5152fd77, 0xf4c993a7, 0x92012b8a, 0x610b3b44, 0x55b2c35d, 0x314a998a, 0xa4c43e5d, 0x3285b0dd,
+    0xf1d929ed, 0x74144fba, 0xe34a32d5, 0x8dd1d18a, 0xb5c868dc, 0x905fa9c2, 0xd2b13eb6, 0xb5dbde93,
+    0x16bf64d5, 0xac96e988, 0x2428307f, 0x9d3e2495, 0xf2fe7e7b, 0x7a08b2d5, 0xc71d8f8f, 0x3d0999af,
+    0xafa26351, 0x0555497b, 0x632b1a22, 0xfb9a83c8, 0x283c563a, 0x242da2f0, 0x0179f59e, 0xeeac88dd,
+    0xc4f43969, 0xe23bf79f, 0x6c48f1eb, 0xac4d6521, 0x05f047e4, 0x50277356, 0xa9b1fd17, 0x0eeb1a38,
+    0x52d08866, 0x1d912a1f, 0x97315142, 0xcdc49fd7, 0xaaa5768f, 0x72a52cd8, 0xcf8bb618, 0x8946563d,
+    0x704312c1, 0x43796a0e, 0x7f9987c5, 0xe83b5462, 0x3bea99b8, 0x0b2c1aa7, 0xed1b7ece, 0x8072820b,
+    0x833ec8dd, 0x0aefe676, 0xbabe7eb7, 0x8eff8f6f, 0x2866e6e4, 0xf8daf8bd, 0xf2066a7e, 0x61a09c8b,
+    0x64278918, 0x847e2a4d, 0x680ea016, 0xd1676dde, 0xbbae3423, 0xd610a5b8, 0x1c60e177, 0x5932b18d,
+    0x79de533b, 0xc11c7e5b, 0xd567d0d7, 0x87471455, 0x88cc59d0, 0x4957a59f, 0xc4fcb092, 0x60750759,
+    0x92498c3f, 0x7b727508, 0x0153b0ea, 0x72364d12, 0xae8b59ab, 0x2da23f3a, 0x0a374e8e, 0xb1a305bf,
+    0x8e7c75a8, 0xc27ebf43, 0xa7c8f2ee, 0x2ef69e8e, 0xdcd3c99f, 0x7e12411a, 0x64cc4324, 0x0d667828,
+    0x35c36ffe, 0x09479967, 0xd6d0bf19, 0xc4683e40, 0x925a9e9f, 0xf471a4e5, 0xfcf0e7f1, 0x865e326a,
+    0x5e01f5e5, 0x5b6b11a3, 0xfd514265, 0xfb8f08af, 0xdecf7b75, 0x2f5e8fdd, 0x5baa7f48, 0x3e85f54f,
+    0x69518a3c, 0x5eed2dfb, 0x848120c2, 0xdb917f04, 0x94c068b4, 0xff0d2614, 0xdc02c93b, 0x970ac5ce,
+    0x84736d66, 0x2eb218d8, 0x758c2349, 0x79ef00ed, 0x7f0b276e, 0x5203de36, 0xaf1c61ac, 0x871bdd69,
+    0x5c7632cf, 0x1b8ac2cb, 0xda91b697, 0x0d065679, 0x8f2deb36, 0x7587c24d, 0x49025269, 0x73bea7fc,
+    0x2b64ce5f, 0x2bf7630e, 0x0074b4d7, 0x6370ac76, 0x8c0bd0ae, 0x0e372b3c, 0x0c070434, 0x63ae46fa,
+    0x5c0f32e4, 0x5c3bb57d, 0x6690d3c9, 0x54d2a7bb, 0x1801aa2d, 0xdeaf64f1, 0x5302c073, 0xbac8b573,
+    0x907d0867, 0xb00d5288, 0x9e53da2f, 0x47bfdd35, 0x30b7cc83, 0x9645b538, 0x3b87e8d5, 0x1810da82,
+    0x4ee739cb, 0x707c9cb2, 0xb68b9ead, 0xcafb848a, 0xa97c680a, 0x96110044, 0x50e185b7, 0xfbe294bc,
+    0x96911177, 0xaeedc107, 0xc3951461, 0xefaccf2b, 0xbd5797f4, 0x52b54bde, 0x507e5326, 0xd4680d32,
+    0x5ee89910, 0x5000691d, 0x45cd32a3, 0x7a238d43, 0x9af13631, 0xa3d35cd0, 0xb6e7fa9a, 0xad0e35a2,
+    0xf4a35bcb, 0xff598473, 0x7808bdf1, 0xa4b15a26, 0x58f3fc55, 0x7638b7b4, 0x3b505922, 0x552b1cc3,
+    0x68a43eb2, 0x624e45f4, 0x0e9879c8, 0x41f9a70a, 0x7cc23aff, 0x7da26816, 0x1f69e7b5, 0x26ce6575,
+    0x604929e9, 0x5abc5b54, 0x533495d3, 0xb6c966e7, 0xc3da82bc, 0x352a6d4c, 0x6848cec7, 0xdace5aea,
+    0x773af352, 0xfb21c47c, 0x5896719d, 0xf0c8657a, 0xfcf3f2ed, 0xecb90778, 0xd613eb11, 0xcea3af1a,
+    0xe55a1303, 0x942aca66, 0x31b8b742, 0x7cae1df2, 0xc3cc29ec, 0x3c6aedee, 0xdca981d0, 0x136619a6,
+    0x67198abb, 0x769c079b, 0x63b41d45, 0x2386f33c, 0x0ccec2b0, 0xcd98510e, 0x5f3fae4f, 0xab005420,
+    0x4790bc4b, 0x54f874a8, 0x1e52e83a, 0x387a6d0a, 0x88da70a0, 0xaa558f38, 0xd67039fd, 0xe92647c1,
+    0x0ccc6839, 0xdd7e960e, 0xba1f5f87, 0x37c93218, 0xec310b7a, 0x2c72b2e7, 0xd53076e0, 0xb6f6f398,
+    0x0de5a5c5, 0xfa9bd717, 0xac833e01, 0x2dbae50e, 0xf0d4ce0e, 0x2e2ff9fd, 0xb79c44e3, 0xd5e90624,
+    0xf6fd6bf3, 0x5ae3c745, 0x6d64b689, 0xaa120835, 0x179ddf5d, 0x5caac836, 0xfac1b66b, 0x2a8a572e,
+    0xeeb49fdd, 0x88326a80, 0x4096f90e, 0x25d650a7, 0x00c9dd06, 0xe65c4d57, 0x0056bc05, 0x3e51ea34,
+    0x4191c3e7, 0xf5a2a263, 0xf00a8e11, 0x594490e8, 0x503220bc, 0x8b84ba34, 0xb0882b88, 0x32403fdc,
+    0x1356b722, 0xa19760c4, 0x9fb8d821, 0x66deff24, 0x86cc97f0, 0x89b98bc8, 0x0e0a7611, 0xe61d80ed,
+    0xaf0071ee, 0x20991fe8, 0x0e9fa4b5, 0x973fa33d, 0x7b4f15da, 0xa25abdc1, 0xc0ed09c0, 0x89ded28d,
+    0x99e36213, 0x9326cab0, 0xf6d12ed8, 0xc38e53d4, 0x1d1c0100, 0xc6828df8, 0xba8770fa, 0xd2f8d03f,
+    0xc45762ac, 0x666dfc61, 0xe5b3ad40, 0x7b96feec, 0x9adbe388, 0x26db3983, 0x6b27e841, 0xe1629d81,
+    0x5fcef6a8, 0x2f149830, 0x722990f5, 0xadae0f64, 0x0dd12f12, 0x89e6f914, 0xa7d5ef74, 0xcf0b51cb,
+    0x7a30f2ff, 0x17f01194, 0xa22e3040, 0x2083cb08, 0xd945c1d1, 0x7a43a6ac, 0x412c5130, 0x65576eef,
+    0x65ee11d0, 0xdfe406cf, 0xa6d93973, 0x0cbdd982, 0x8d1a7d92, 0x1e3bafb7, 0x7b202ef7, 0x55164c1f,
+    0x4f723146, 0x9e1170f1, 0x71222f60, 0x6f8a0e9b, 0x2ecd6177, 0x101671b6, 0x845feee7, 0x432a465a,
+    0xbb1ddc16, 0x5fd6b042, 0x6960b9da, 0xd846daca, 0x056ce032, 0x99c249d2, 0x93de039a, 0xcb43bb34,
+    0x200d864c, 0x65cb552a, 0x545093fb, 0x0277e8f2, 0x9289c3bf, 0x8d91262f, 0xfb7949e3, 0x0fab83c8,
+    0x4b7e941f, 0xf9c899b6, 0x334abd29, 0x583ee582, 0xf47f128d, 0x39db3cdd, 0xd11a11bd, 0x9299f32a,
+    0xf0378417, 0x6c635e68, 0xa7633b4c, 0x7fb23385, 0x9fef71c0, 0x14a3f778, 0x8fdf9480, 0x84c54251,
+    0x1d8baed1, 0xc19db1ff, 0xd08b2851, 0xf18233b7, 0x04459505, 0xbbe36770, 0xff81aa75, 0x83734556,
+    0xa165cef7, 0xd1ea1f0a, 0x393e6327, 0x1392689e, 0x1cfbd55d, 0x23deea53, 0xcf326757, 0x62051943,
+    0x98fd0e45, 0x67bd85b6, 0x52d3cf9f, 0x23654e1c, 0x2291660b, 0xade4bc0f, 0x6f060698, 0x57f4d6c0,
+    0x5fefe54e, 0xc23034fb, 0xfcf18147, 0x2bea6555, 0x68e7a1ee, 0xed409f60, 0x79d01b66, 0xc1957730,
+    0xb35c9f4f, 0x1c4f9c11, 0x229ac828, 0x9238a96e, 0xb2d83e76, 0xe45c579a, 0x0ee22923, 0x09dbb388,
+    0x4cd8e701, 0x17df58fb, 0x32b548b5, 0x874c6e46, 0x4e8aeea1, 0xd7ad9cf0, 0x55b63d5f, 0xc518d8e7,
+    0xa924783c, 0xdfffb3dc, 0xe0352b75, 0x9d97ecbc, 0xb6be5de0, 0x1d65d6ac, 0x47558a40, 0x24e674b0,
+    0xd8f4c596, 0xb348f83e, 0x44100d67, 0xa7538846, 0x7f06dc11, 0x25ee1b50, 0x3777a28f, 0x05b42697,
+    0x5ba3d86f, 0x6e54ba7d, 0x27902861, 0x1ec43e76, 0x3944bb9e, 0x6a43b4a7, 0x8c2ce27d, 0xe372ac55,
+    0x27161400, 0xb08beec8, 0x7cb6f1d1, 0x8ef0cda0, 0x3c496fab, 0x0514d789, 0xcb698419, 0x1f7e6b64,
+    0x726227be, 0x49e2f2f0, 0x08d7ce5a, 0x3e4b42b7, 0x92a8aab3, 0xaf22e618, 0xb2a5734e, 0xc6cf1786,
+    0x49539eaf, 0xb9f50f80, 0x50f2c610, 0x0762c333, 0x4436d6de, 0xf9b3d1c8, 0x29153a32, 0x6f2a3c65,
+    0x8d4492b6, 0x93bc613f, 0x852d3777, 0x41bebf50, 0x68803cda, 0xec77cd31, 0x7cdbca2e, 0x74895696,
+    0x9c6910ff, 0x0b860ba1, 0x7e301839, 0x8a3117b1, 0xa97d9737, 0xb9151220, 0x61380541, 0xa57d57d5,
+    0xec6ba04a, 0xd248afb9, 0x3de5aa9f, 0x4d5cb110, 0x1b1136ec, 0x37a8e108, 0x2b8ee9e5, 0xd0d9f770,
+    0x89415baf, 0xada33904, 0xaa5d830c, 0x32edc4ae, 0x146bf0f5, 0x6e79d37b, 0x9e107d4d, 0x550c146a,
+    0xd9ee340a, 0xf50596c1, 0x3657f527, 0x809eec8f, 0x219ca05c, 0x83ff6d6e, 0xead75229, 0xb1d03f78,
+    0xd821d2a6, 0x285cf145, 0x4804a1b8, 0x01e2d025, 0xfa714be1, 0x107ff24e, 0xb4b87231, 0xc6e4adc4,
+    0x8cd6920c, 0x92cb2265, 0x9e75924d, 0xeae81f81, 0x509cc56a, 0x16d323ce, 0x21e9e105, 0x529df8fc,
+    0x51ccf459, 0x0f3d1ff3, 0x05c9e49d, 0xecb11615, 0x99ed7ac8, 0xfd97b7ee, 0x5a994bb7, 0x57443206,
+    0x3ee5444a, 0x05715a81, 0xda579ed4, 0xde62f2fb, 0x560baad7, 0xf4ec3425, 0xee417633, 0x5d1a7d57,
+    0xd8b6b3fd, 0x9e97180e, 0x1fa0bedc, 0xe9b91850, 0xac6e4b8a, 0x23a90f24, 0x80d4e22b, 0xd044ab76,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000001539140867046659344229650003911859914\
+                          26092731525255651046673021110334850669910978950836977558144201721900890587136 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049,
+    0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f4, 0xc5f335e0, 0x42c455c1, 0x8b83b682, 0xa938a5e7,
+    0x00000000,
+    0xa09ebbdb, 0x758f0846, 0x4b9c83cd, 0x65867116, 0x922d65a9, 0xdfafa063, 0xdc3d39de, 0x0030fe4f,
+    0xaf03148e, 0xa52b6359, 0xd98f552e, 0xa924f954, 0x0fbebecf, 0x9115a899, 0xf852f05a, 0x379e7759,
+    0xbb611cdd, 0x6a44c5ed, 0xd51b0d32, 0xcbd24268, 0xf779e643, 0x0daddc37, 0xc6bc01cf, 0x2e67a861,
+    0x1fbd1222, 0x1b5e2f5e, 0x0afc2190, 0x0a8a26fb, 0xb65427eb, 0xae79ec0c, 0xc7bd9086, 0x9a92300d,
+    0xc826640b, 0x8d0adce7, 0xec834894, 0x808b3537, 0xc3e5de88, 0x0155947b, 0x859f13da, 0x825127f6,
+    0xd8a620e1, 0xd353cbe4, 0x2b1275cc, 0xafd64c41, 0xc8fcb473, 0x4e254e88, 0x5530179b, 0xe1d982dc,
+    0x3ad9c05a, 0xa6511e79, 0x4251d549, 0x5440258a, 0x98f90299, 0xa6ae4829, 0x4038a96b, 0x4abcd2ba,
+    0x27d67710, 0xdec6f787, 0x59fbfe5a, 0xf953e6d0, 0x405a74d4, 0xe1a922de, 0x5532e3d4, 0xcdd04a53,
+    0xba902b43, 0x0bab491e, 0x82504ef3, 0x27542dd6, 0x84617f5b, 0x27d6f5bd, 0x2bc56c0e, 0x546b5c2b,
+    0x9b48a716, 0xeb0226dc, 0x491e3a08, 0x632b5d43, 0x2d43a6ec, 0x0fec7e6b, 0x2ad3b949, 0x6e944e79,
+    0x4c860fc4, 0x7a1a4fec, 0x766fb3d5, 0x5992bac4, 0xe16b468c, 0x41f4e935, 0x2a6eaac7, 0x13ac346c,
+    0xd636c489, 0x59ff279e, 0xb11778b5, 0x79d71c01, 0x30939083, 0xe855ff36, 0xd5a8cf11, 0xa2c59c5c,
+    0xda734e5d, 0xcc0de136, 0xa8a0dc20, 0xf0c4aa38, 0x45845879, 0xa1394644, 0x379ebb98, 0x49e431fd,
+    0x0878a92d, 0x0bc10dfb, 0xdd359155, 0x4843c8f1, 0xc5d796d0, 0xaa95d811, 0xea1cfeb0, 0xb11e1b48,
+    0x8cf663e8, 0xe99abe9b, 0x609c4f50, 0xba9213e1, 0x880e773d, 0x48222e34, 0x1cf8fa66, 0x8b69d09c,
+    0x7d76bfe2, 0x1116222a, 0x72ee8447, 0x78a48890, 0x5be3f2d4, 0x4f0e71f1, 0x75ceb5ee, 0x427c00fe,
+    0x3d660959, 0x8ed69215, 0xbd470c2c, 0x6ada593d, 0x4697ce00, 0x875cf432, 0x8e9a1148, 0xaca1ffe5,
+    0xb396087d, 0x43e06d57, 0x608aa014, 0x3e6ba5f3, 0xd5bd0cbd, 0xcc1f8c08, 0x66901910, 0x60264885,
+    0x811d746a, 0x87d307d3, 0x3dcd8561, 0x8992871c, 0x508c0abc, 0x6ba67cb6, 0x5c218616, 0x6163e8ba,
+    0xb1e82fdf, 0x64ba92cb, 0x3b0feeef, 0xd47c87df, 0x6585c0c6, 0xc7cdf4af, 0x630c09e9, 0x93c3c4e5,
+    0x8fcbda22, 0xdcbb7948, 0x3285ca15, 0x3b366b30, 0xf745c309, 0x181e5ecc, 0x011ed4a5, 0xcf33ef35,
+    0x3c1e51da, 0x44441044, 0xdd64b49f, 0xfaa09823, 0x0ef55fc6, 0x44ba387f, 0x57c8ccf0, 0x3a439d79,
+    0x5d12c26d, 0xeddec5ce, 0xcc9a618a, 0xb774d1ce, 0x10d60fc9, 0x2e9a0618, 0x7d4fae76, 0x53403107,
+    0x3f057d87, 0xa5116400, 0xfa2419b0, 0x7f94b300, 0xc8d6ba37, 0x6d3a43a9, 0xb14a73b1, 0xa09243a2,
+    0xe9b3b421, 0xad94baf5, 0xde337963, 0xd170c308, 0x3e7f5384, 0x87cf0cda, 0x48837020, 0x65fc7c60,
+    0x43779e13, 0x49fccf1c, 0x2c74468c, 0xb98e4548, 0x5276ae02, 0x136cbf4a, 0x3d04b798, 0x588c0bf4,
+    0xbb882caa, 0xc341c5e2, 0x40b7538c, 0x33c77f28, 0x7571b604, 0x0dcb3ea2, 0xc93c063a, 0xa36be147,
+    0x9a2f734c, 0x985b9326, 0xcf74324b, 0x6fe924c8, 0x03315cc5, 0xfbec380f, 0x79c28733, 0xccb99efa,
+    0x01f92b44, 0xf9ff9f15, 0xdc109754, 0xf6a7276c, 0x43a5bb33, 0x42039360, 0xafdd7b0c, 0xd3e985bf,
+    0xcac6ea76, 0x908cfaee, 0x42410fb0, 0x3cdc04e5, 0xbcf670a7, 0x499037f4, 0x705a374e, 0x3c839db2,
+    0x064d15d0, 0x22b5ce00, 0x99a92cc4, 0x90c68029, 0xf69bc8c6, 0xd54f9daf, 0x31d077b7, 0xc987ab9f,
+    0xca6e65be, 0x24af7d43, 0x6883c97b, 0x3a678826, 0x634e64b7, 0x5665d8c4, 0x43b789b1, 0x7d9fa9b8,
+    0x050183a5, 0xba727b83, 0x07bb432b, 0x7fa3e623, 0xc1e1e079, 0x7eb273b4, 0xd7501820, 0x084e72c6,
+    0x7d9ee5e9, 0x9cc68f7f, 0xf6e9ee36, 0x8d467f8b, 0x3ee70291, 0xcaffc722, 0x9b88ece4, 0xa99f00f8,
+    0x9f95d544, 0xfd761a62, 0xf931fe70, 0xce0c143e, 0xda7df167, 0x7bea2393, 0x581ee720, 0xf35a3a1e,
+    0x18dc1b21, 0xd9b4669d, 0x98583718, 0x3a4d5d72, 0x0c987e80, 0xe1742a8f, 0x27fd35e6, 0x8b1437b8,
+    0xa724fc28, 0xfbe420ea, 0xd09edeb4, 0x4032db50, 0xf5458902, 0x3a7f0169, 0xb98b36f6, 0x69cf0b15,
+    0xb42eac85, 0xecc49bba, 0x5ce127ed, 0x76afe83b, 0xe90235a3, 0xa229c824, 0x10fb7520, 0xea250452,
+    0x8334f40c, 0x69171142, 0x4dbdd094, 0x2d423891, 0x5762c6b7, 0xbd7dc62f, 0x5fd5ee11, 0x77c3b61a,
+    0x5f8f20d8, 0xfe74e7e0, 0xc3d9de2d, 0x69bb15e7, 0x51b7d7b5, 0xe6e1c8d9, 0x48ac8f7b, 0x8bb763e6,
+    0x0316c706, 0xb2eb9b21, 0x2fb668a9, 0x11b73fa8, 0x3bbbdbf6, 0x52685eb9, 0x01027276, 0x1c85ae86,
+    0x75d6f29d, 0xbf697e87, 0xf4502767, 0x7a490ff2, 0x09b181b9, 0x7ad15633, 0xf457484c, 0x5c412a51,
+    0xb8ffaa73, 0x2cc9f299, 0x4e26038e, 0x4b6a983d, 0xc0bf1f8e, 0x0e5782d8, 0xa834fc6b, 0x13288880,
+    0x2df504c1, 0xe818b615, 0x41062918, 0x9528e3fd, 0x49811726, 0x16f8a3c4, 0xa2cfba7e, 0x586b1ad3,
+    0x37b70139, 0x4ac65c4a, 0x5fcd0050, 0xfd84bd2f, 0x44b0c3c5, 0xeb93cccb, 0x763e8523, 0x798279bd,
+    0x88601326, 0x0e8f072d, 0xf50ab7bb, 0x7900af75, 0x5272ce3d, 0xa0731f31, 0xc94ca167, 0x42c470d3,
+    0xcb2b9d04, 0x217d61a3, 0xb9d5a283, 0x3bd13ab6, 0xdc4b1439, 0xf71d87af, 0x2029a3a5, 0x70c6f859,
+    0xa26a1143, 0xcd8c4623, 0xc7c773e8, 0x29eab11f, 0xab56c8cd, 0x427dd46b, 0x7ccc8ac3, 0xe2376c16,
+    0x28e2b3d1, 0x65558eae, 0xc7d284a7, 0x1de6096b, 0x414addcb, 0x908f5c65, 0x31d2e6f9, 0xa681c362,
+    0x51d6255c, 0x8dafefa9, 0x02e71b93, 0x8b6288aa, 0x3c3cb192, 0xefa9b335, 0x4ca15cae, 0x5576e326,
+    0xdfadd265, 0xdb7fb0a0, 0x4c939cbd, 0xfad99584, 0x6e8ebdf8, 0xa15e648b, 0x0e9b3e2c, 0x0b224794,
+    0x09dbef9c, 0x8f8c3ee9, 0xac5407e6, 0x7202327e, 0x2e599e22, 0xa7feb0d3, 0x20bd57a0, 0x750f6539,
+    0xd95a3345, 0x298a0f6d, 0x72e10d6b, 0x30244e97, 0xafeb74cd, 0x05805c16, 0xb8be4043, 0xc9867d71,
+    0xc90f1021, 0x53016280, 0xf39cc847, 0x0b0133d5, 0x117cb303, 0x92927118, 0x19e316f8, 0x0509ec03,
+    0xebcec10f, 0xdb51ceb3, 0x02e2d8ef, 0x103ed50b, 0x18e892f9, 0xb4cac7d9, 0x5e3b1f5c, 0x9373ae14,
+    0x6c22d552, 0x57646383, 0x0025c4e2, 0x53e77f76, 0x7cd3e962, 0xb7bf7c5a, 0x0bd49698, 0x584c7e0d,
+    0x28c28a6f, 0x325eed7b, 0x48f219bd, 0x95c4cbdf, 0xfec55d02, 0x94d9a189, 0x3ee872f6, 0xf7319b3d,
+    0x1cdddf31, 0xc176086e, 0xd7c9775b, 0x1ca3e34f, 0xd9295c89, 0x7924ed29, 0x7febc311, 0xdda31b8d,
+    0xf11978b7, 0x2475a9d1, 0x98093a02, 0xfcc6fb70, 0x73757f04, 0xda30c2ac, 0x426d7c4c, 0x53540faa,
+    0xd363063b, 0x5f0e9abd, 0x3b7c28b3, 0x568542e0, 0x83d532b0, 0x6b159324, 0x33b65ca7, 0xd327573d,
+    0xc62a77eb, 0x638fbc4a, 0x247de395, 0xad9d38e4, 0x93e2ba3f, 0x13d718eb, 0x7c82d17f, 0xfacf8eb5,
+    0x52a5f02f, 0xd0319d67, 0xfe02aefa, 0xca5f8660, 0xc2eceb66, 0x5dbcf0a6, 0x2eec6b46, 0x262925cd,
+    0x31b0275e, 0x1800027d, 0x4c759091, 0xe996620a, 0x8be0b4a7, 0x444194a9, 0xdf9b385f, 0x33b8e724,
+    0x5ed5557e, 0x9728d6ab, 0x7d05106e, 0x1c732032, 0xc18a002e, 0xdaf81139, 0x7d8acb4f, 0xd1cb6f22,
+    0x2759bdb4, 0x46640370, 0x2f651c79, 0xb692ecb7, 0xd0253916, 0x8e2f36dd, 0x9bb64f61, 0xe67757ae,
+    0xc24908eb, 0x15b70ef2, 0x3f43633e, 0xd267e191, 0x14ea7bbb, 0x524f26e2, 0x7b1166d8, 0x3d6dbf45,
+    0x7f9e5592, 0xe0dbb3a3, 0x72dec805, 0x5eeb3a8d, 0x98ef374a, 0xdbd6af72, 0xc922bd8d, 0xd6c96cb1,
+    0xdc6c8b00, 0x4de334e9, 0x6c9bbef4, 0xfce29ec9, 0x900f1084, 0x597ec58f, 0xc4bb37ef, 0x8f1d8ac9,
+    0xbe05ccbe, 0x37cc092b, 0x65c93034, 0x41b9cbbe, 0x1d932742, 0x299f0cd2, 0xcc472599, 0x99482634,
+    0x88f4c1bd, 0xfa07f88f, 0xd841c598, 0x6fccd636, 0xeefd1f3b, 0xe1e8e9d6, 0x49471893, 0x0a6e8284,
+    0x24e7c920, 0xc2d42dd9, 0x507d148a, 0x65966126, 0x51d24661, 0x7b3f32b2, 0xe951ecd1, 0x8f565c95,
+    0x820f5abd, 0xf035801c, 0xe811633d, 0xaef0bd63, 0xf032f340, 0x9b0de43c, 0x2a972859, 0x4e59dd63,
+    0x8f731adc, 0xf2834d1f, 0xcdcc2117, 0x8d2e5dc1, 0x9f033848, 0x809e5dce, 0x6fa98494, 0x07c7e52a,
+    0xbcf17712, 0xc131bd18, 0x7022400c, 0x51d7050b, 0xe8d8057b, 0xa949163c, 0x7568f688, 0x4d148f29,
+    0x8092b666, 0xae4d5afd, 0xc3b20eda, 0x66fdcf96, 0xe8f8cec8, 0x92e1bc21, 0xac50ce17, 0x66437599,
+    0xd0be81a2, 0xfa389f21, 0x6b64f42c, 0x3ce4637b, 0x1863ff7f, 0xf8d6b36b, 0xcdad3d99, 0x39b07b87,
+    0x5771ff3f, 0xf21b0627, 0x0672a07b, 0x9e57c58f, 0xac1c1a7d, 0x9c0bff5a, 0x6fe7379b, 0x2f36a2c4,
+    0x65dbf4ee, 0xc9b745d0, 0x5645cf3b, 0xf99525ce, 0x7990ac96, 0x54541999, 0xf30ce80e, 0xfd0f50a9,
+    0xc8f19249, 0xd7ff805e, 0xe534fa4b, 0x05901e34, 0x5f44bd0f, 0x825556eb, 0xce280d69, 0xc94a06de,
+    0x8528dbc8, 0x21c1255e, 0x1b311649, 0x5f388dd3, 0xbffebdd4, 0x9f575c1a, 0xb454ec78, 0xa09483af,
+    0xd061d084, 0xaa305275, 0x542622df, 0x817259e3, 0x63d8feda, 0x4331430e, 0xf6c6b00b, 0xef488753,
+    0x212d2514, 0x434c0481, 0x477fa871, 0x0233ea82, 0x33aa659c, 0xaf3e1263, 0x61ba0355, 0x5978cc40,
+    0xce95ec6a, 0x161fb572, 0x9b1dc671, 0x0b207973, 0x567910d6, 0x86c45fea, 0xad13e656, 0x9120cfde,
+    0xba61bed8, 0xbeb40e75, 0x39c29ae6, 0x4e7f06d1, 0xbcf4802a, 0xb1e63f20, 0x69918949, 0x820bc15e,
+    0xaaf5c087, 0xd09fe1e5, 0x17f66043, 0xda22de1e, 0xcac8318f, 0x1a1b0a98, 0x4737b143, 0x34370b19,
+    0x7e1bb3cb, 0x6a62eaf3, 0x918ab8b1, 0xd33a6bb1, 0x7881fcdb, 0x16d66381, 0x02606985, 0x867a7cf9,
+    0x200e8a00, 0xe4767981, 0xcbed4436, 0x9b5520aa, 0xcb11d6dd, 0x2ef811de, 0x3dfecc53, 0x6e3e96e0,
+    0x9415f461, 0xe99c4a6a, 0x834660af, 0x6053937e, 0x801304dc, 0x77bff09e, 0x05df1df4, 0x3140324f,
+    0xfdf05b93, 0x2a81d6d8, 0x6649fb71, 0xd6466839, 0xa14506b1, 0xa8e64d19, 0xe2de49b3, 0x329cb1a8,
+    0xff515744, 0x8481f6f6, 0x0961baf4, 0xeb308e65, 0xa45ab831, 0x105033c3, 0x2596cabc, 0x2bf01466,
+    0x1a22f35f, 0x05f539ae, 0x97359f9d, 0x4be1a8ba, 0xab9b3850, 0x60dd2b4b, 0x3f3bc432, 0x5334bd3a,
+    0x58e0d1ad, 0xca96fb07, 0x7a4df865, 0x8fa1fe5b, 0xff68bb0c, 0x4c23fb3c, 0x7e31c94a, 0x0fc7e57e,
+    0x4eea9568, 0xe5590255, 0x9aa8e0fc, 0xbe016803, 0x6a32c28f, 0x0ab90fd8, 0xd3c93a6b, 0x4035e3dd,
+    0x5757dcfb, 0xde3aefa9, 0xe253c0ba, 0x53b9bb4d, 0x258ee7aa, 0x37eb0999, 0x5057029a, 0x212c76a7,
+    0x807852ff, 0x8452c70c, 0xcddfa31f, 0x3069f95b, 0xb6a2d158, 0x083dc4a4, 0x659eacf7, 0xb127bb69,
+    0xe5715f11, 0x75772a07, 0x61092f95, 0x05825611, 0x3e4f5c9f, 0xcd3c9b9c, 0xa290f242, 0x66f0cb49,
+    0x1cc09cac, 0x0921003a, 0x35570042, 0xd58cc298, 0x7c475f77, 0xecf1da57, 0xe974237c, 0xe0339d84,
+    0x60c57bf1, 0x8de96feb, 0x52b46105, 0xaa8c07bc, 0x039117a6, 0xec0d653e, 0xa3c9c05c, 0x85f6c769,
+    0x8b820e13, 0xee6c009f, 0xb5e04cbc, 0x0227c789, 0x4a6bab7e, 0x041215ed, 0x184ef0b8, 0xfbe9c963,
+    0xac54d925, 0xe8ba2946, 0xeaf9bd66, 0xf428c2e3, 0x65daf4f9, 0x55422e38, 0x783eef40, 0x6685d2d2,
+    0x1cc4688a, 0xb260d402, 0x9423d84c, 0x2011df73, 0x23831cf6, 0xa5f90ce4, 0xd363eeca, 0x6b007e24,
+    0xe259c9e5, 0x39d2069e, 0xf249197c, 0x3aed7b9f, 0xc7bc7845, 0x39ef5767, 0x11c9cddf, 0x67854aae,
+    0x9293de02, 0xfe7a2f17, 0x75f3a10a, 0xb19373e3, 0xb99e776e, 0xf1b2fb9c, 0xda38c524, 0xa1cfe998,
+    0xd06cf6ef, 0x69e32b58, 0xa790638d, 0x8cb7e556, 0x8b6d02a4, 0xfc1213cf, 0x6659956c, 0xa11d7224,
+    0xb5dad122, 0xab0a7565, 0x83419425, 0x586a8f9c, 0x2685141c, 0x6a69b3e5, 0xdf63abab, 0x591cdb07,
+    0x2e2d29ab, 0x427b50dd, 0x907bd8aa, 0x61479025, 0x48395222, 0x727ef6d8, 0xb66324e9, 0xff76d384,
+    0x4ee14ade, 0x97fa0995, 0xadecbbb0, 0x6433a9c3, 0x2953442d, 0xb5934c1f, 0x2ce98101, 0x9fb1c000,
+    0x3c491d65, 0xb2b87bc2, 0xbb1bc3fa, 0xd0de6682, 0x30158f62, 0x8021cac9, 0x999d7ba7, 0x93ab5ab7,
+    0xb24b5a41, 0xe0f10e71, 0x6969c2c6, 0xb4d57246, 0x1858054e, 0xef05a68e, 0x278eb7e6, 0xf28aceb7,
+    0xd748180b, 0xa6777a16, 0x03f25385, 0x0877f042, 0x4db1bed4, 0xdee8229e, 0x7e3d4bdb, 0xc8780479,
+    0x22c6046a, 0xb02952e1, 0x50cf44f6, 0x90206516, 0x4b87b9df, 0x8000c49d, 0x8c108298, 0xbe2e9c00,
+    0x3537aa6a, 0x05648b1b, 0x896ea87d, 0xa1738df2, 0x642e8ec0, 0xe1edde30, 0x28baac9f, 0xc6326dbe,
+    0x94bfa232, 0xafb7ef82, 0x840914fd, 0x6bb0a342, 0xb38b1390, 0x1db30247, 0x4652ffa3, 0xe606388e,
+    0x187179bd, 0x99285d54, 0x20afcaa2, 0x553d48c8, 0x1b8e6a67, 0x1c6fd7ae, 0x38a42692, 0x7780e3c2,
+    0xc4fd3c13, 0x06c8cce2, 0xf46a93e9, 0x76665380, 0x9c0c43fe, 0x8ac30574, 0x104ee5f2, 0x46bab35d,
+    0xb81dd3e4, 0x8725d9c3, 0x4f02f0b6, 0x23a26a9d, 0xe7884016, 0xee315245, 0xef911890, 0xb6494df6,
+    0x1b3c71e9, 0xe379f311, 0x843747f6, 0x4dc3e317, 0x210aca7f, 0xe5a387ca, 0x0e9b5752, 0x4bbaa807,
+    0xc5482482, 0xe6acad89, 0xf18bbb21, 0x8f652f17, 0xd48c20f2, 0x0ecb4113, 0x41403a91, 0xae8e83d8,
+    0x1cc6e205, 0x344d323b, 0x39a7b7d3, 0xe49450df, 0x28f2190d, 0x58afd4fb, 0x53e02f08, 0x02e50c56,
+    0xf0c8949c, 0x6e2a2734, 0x29372d90, 0xf7334fd1, 0xaefdb4dc, 0x8a854bc8, 0xbb4d22b9, 0xfb5e989d,
+    0xb1b7289d, 0x0aa36fda, 0xa4ffbdf0, 0x8c0de619, 0x4c9a5236, 0x50d243ca, 0x0e1af960, 0x0d803d1c,
+    0x845f568c, 0xe075a1ea, 0x240be412, 0xda37270b, 0x4e792f78, 0xeff6673d, 0xfd01d010, 0x1604f63e,
+    0xa80e41f8, 0x81a7c2dd, 0x66061804, 0xcb82ab47, 0x98864511, 0xadd19c6d, 0x60e4e4c4, 0x017713aa,
+    0x29338a27, 0x325a0a72, 0x54927647, 0x62a8e625, 0x6f1d27f1, 0x99ff82c8, 0x506daa41, 0xcae46ea6,
+    0x10783d1d, 0xfade6337, 0xbe7ba938, 0x3b3233bd, 0x200c1e2a, 0xbf7dd250, 0x9c9a3afa, 0x239cc0fd,
+    0xa47ca333, 0x19a8287f, 0x4d530b68, 0x3050659e, 0xbbc56f06, 0xbb430c75, 0xb7597b9a, 0x59fb03d8,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000769570433523329672114825001955929957\
+                          13046365762627825523336510555167425334955489475418488779072100860950445293568 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024,
+    0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d187a, 0x62f99af0, 0x21622ae0, 0xc5c1db41, 0x549c52f3,
+    0x00000000,
+    0x8f62a832, 0x97c0593d, 0x86b229f4, 0xdc7dd503, 0x602680c9, 0xce4d6828, 0x516dadcc, 0xbf15241f,
+    0x97137eaf, 0x1b3bb468, 0xcee69bf4, 0xa70b13d9, 0x6ccae800, 0x071408e6, 0x6dfa6a31, 0xf219bd4f,
+    0xaffc7214, 0xc72e5bc6, 0x99fc6807, 0x933a5fa4, 0x1bc3f5c2, 0x0abd4929, 0x1f38ab22, 0x6d890094,
+    0x5e8c9d67, 0xc39728f0, 0x6575ed9f, 0x0a1ea5ad, 0xb158c79a, 0x7339a67c, 0xd7f138a6, 0x01269268,
+    0x709d48eb, 0x11d24498, 0x4fd50e2a, 0x54985098, 0xeaa024ad, 0x764e8ee6, 0x7fd2bc00, 0xa8d0c3af,
+    0x8d9f6e2e, 0xa91b077f, 0x5f5f480d, 0xbef26d2c, 0x8cee8243, 0x25aab51c, 0x5a0f4550, 0xd70bb3f5,
+    0x605985b3, 0x30967a0d, 0x1388b965, 0x2a2f95d9, 0x53d9cbc2, 0xb58ee905, 0x77d3b3a1, 0x51e2d63c,
+    0x143e5061, 0xe8ca6507, 0x3ca9f340, 0xcb414071, 0x88baaea4, 0xc1bbc0ce, 0x18186443, 0x5882d672,
+    0x1f16247b, 0xa5c3b61b, 0x8af80987, 0x1ebcc028, 0x6fc2b56e, 0xfbf2fecd, 0x6e59ec9e, 0xaf447340,
+    0x2c11a832, 0xb97af421, 0x394c6d35, 0x58a902bc, 0x12f90e20, 0x9a0e8e2d, 0x526eac6d, 0xdf765a66,
+    0x77667432, 0xb4242585, 0xe0f19b35, 0x62d6af65, 0xf7d6b1a9, 0x13c1a9ff, 0xbcf2b926, 0x5ced9bea,
+    0x58821e1e, 0xd9425a14, 0xecf09f96, 0xc4701f18, 0x16f6bbe4, 0x4d52ac94, 0x4ef43e2f, 0xafd360d7,
+    0x17f54934, 0xa96e3b12, 0x961e7beb, 0x195ccdc3, 0x9eae3f47, 0x0d98b67f, 0x53354803, 0xeec221c1,
+    0x9747ac5d, 0x2c04a34e, 0xed255e0e, 0xcba982b1, 0x9835f13e, 0xae2342d5, 0xeb4fb6e2, 0xfa36beb7,
+    0x2f9172e1, 0x0a7cb6fd, 0xca45944e, 0x6977264f, 0x9a21d8d1, 0x0ed8b9c6, 0x6649dd76, 0xf12179e9,
+    0x30256a0a, 0x8b348bb8, 0xc276c320, 0x3a2f9581, 0x71e93874, 0x4c160f2e, 0xb95e6203, 0xd8fe059d,
+    0x23438251, 0x74752eda, 0x6e58ac11, 0xcd13c4eb, 0x35ada3f4, 0x81f6bd20, 0x40e683d4, 0x0932cd8e,
+    0x40113729, 0x3e6c1c77, 0x7ccb7d28, 0x460e468c, 0xd958e76f, 0xeaef9c14, 0xf4b56d68, 0xfe8b818d,
+    0x96379d01, 0x60ad76e2, 0xe0565a93, 0x9efed75e, 0x54c3e723, 0x23c0fd99, 0x06f3a3ed, 0x8cc1f743,
+    0x302360e6, 0x8b764e1c, 0x46b163a7, 0x2346cce7, 0x4a4c196b, 0x5502448e, 0x732b0973, 0x02425e8d,
+    0x393b4de0, 0x975f27fa, 0x8164590d, 0x991ede87, 0x07270c1f, 0x99ca37bc, 0x8fb6bc9b, 0xa933e4c7,
+    0x4e82a409, 0xa3d3682a, 0x3692ea19, 0x73a0d7d4, 0x85c6178b, 0xda4bb169, 0x2922e95f, 0xf11e6885,
+    0x19667e0f, 0x33963543, 0x5eee7ae0, 0x66b12314, 0x4c861bba, 0xe1482967, 0x80a7c89a, 0x3ee55a65,
+    0x9add4cb0, 0xca0ddb10, 0x129e64ca, 0xe4c15286, 0xedbada6b, 0x54483f39, 0x9f2549fd, 0x44959ab3,
+    0x3f29b53a, 0x6d951c8d, 0x54aae6ed, 0x1e3ecd2d, 0x02e07a84, 0x0142b5a3, 0x01ba1519, 0x60362175,
+    0xd3021d92, 0xd893f8b8, 0x1b38eadf, 0x0d665e9c, 0xb460a495, 0xf9159c42, 0xb9395936, 0xfabaac1c,
+    0xbadc1bc8, 0x8dfc76fc, 0xde8d83e6, 0xf241dd6a, 0x3e71c408, 0xd385d71f, 0xc194d5fe, 0x4dbcc8d3,
+    0x676d451e, 0xc2deb89f, 0xba828c82, 0x98278e89, 0x941a8507, 0xe937df08, 0x58bbac1a, 0xdc0c93a0,
+    0xf2233da9, 0x18eb6eee, 0x688f2e6a, 0xfcf51a3e, 0x0cc6905d, 0xd981507f, 0x06ccf52e, 0x7dc47eed,
+    0x46715d5e, 0x19894687, 0x531e5535, 0x9a8e0713, 0x8244f607, 0x12ca43b9, 0xb8f182c0, 0x24c2946e,
+    0x86ce3734, 0xcc5bcaf1, 0x04fedafb, 0x36bee32d, 0xb86ed249, 0x0115ebff, 0x32d356e5, 0xda93ace2,
+    0x44af3ed4, 0x0d1a7a99, 0x8800c64a, 0x3ff02c79, 0x5f8a663b, 0x9b40fefd, 0x31f91b8f, 0xc33b4b20,
+    0xb8fd0b49, 0x95d4011a, 0xeb1c10ea, 0xf67fba42, 0xeb38569b, 0xe35188e7, 0xfc8c65af, 0x2e5fe0fd,
+    0x3b14f9da, 0xdd34f739, 0xd21e4f9c, 0x5ea798e5, 0x658089aa, 0xab3caa5c, 0x5d54e251, 0x86ab0262,
+    0x2832dbee, 0xe114defd, 0x02a05ab2, 0x4c83e8ce, 0x412115ce, 0x13b6351d, 0x363e1454, 0xa7b19afa,
+    0x95602f7c, 0xa6226fc0, 0xa8b31918, 0xa882223b, 0xe925ed04, 0x651035a1, 0xa09f44bb, 0xf2b1f11f,
+    0xffd3fe07, 0x7e97d228, 0x071ec00c, 0xdb56780e, 0x4856dc62, 0x8bf936f7, 0x96b21cc8, 0xfa022fae,
+    0x9bffcdbd, 0x01b1c69d, 0x272b0d64, 0x44c80493, 0x9f7e9852, 0x9764eed9, 0x066ee35c, 0x1fbde5d9,
+    0x13370b4b, 0x0c1f81d5, 0x7f5ebfa1, 0x3c87f7ae, 0x7af5e8e5, 0xfc7b1602, 0xabcab77a, 0xc68432ee,
+    0x1460ceda, 0xb293e185, 0xdd9bb85c, 0xd5b8da74, 0x6a173df3, 0x1cf165dc, 0x204c94b9, 0x5cd4889e,
+    0x302c7797, 0x104f6ea2, 0x8cec5c61, 0x4334068e, 0xda953ee7, 0x8094a0b3, 0xe0cb4472, 0x65188395,
+    0x8fa9d5de, 0x9eb2d588, 0xcc43fda0, 0x56295287, 0x6b1343b9, 0x5275488f, 0x9723fb01, 0x4f30b264,
+    0xfb8f69f7, 0x2acc29e4, 0x10cf9a27, 0xb19e1850, 0x8c2309d3, 0xcc4fe179, 0x65a8257a, 0x909b00f2,
+    0xc3716c18, 0x60c3533d, 0x9b4019ad, 0xc28ca933, 0x766cc31a, 0xf43af065, 0x1f5faf13, 0xb1d9c0d7,
+    0x0b894143, 0xb874d34e, 0x1711d5b9, 0x4149c672, 0xdb2e557f, 0xf461db33, 0xe78a565b, 0x242eb572,
+    0x02d8dae3, 0x0787a5f5, 0x942980a1, 0x5bb0c433, 0xc25d250a, 0x83b6298b, 0xa8093921, 0x159406be,
+    0xdedc0c0f, 0x19aa9c88, 0x16aecb1c, 0x306f9e6f, 0xd576aae1, 0xda26980a, 0x5e7d34d5, 0x3dd2ffc8,
+    0x98ba39f1, 0x472d43c2, 0x8bdf25fc, 0x2b2fa6cf, 0x97eae26c, 0xba50c19b, 0x17c0b74a, 0x02d2d973,
+    0x203911ea, 0x87fae7d2, 0x24865a6c, 0x15a058de, 0x9b252291, 0x29fa6247, 0xf385240a, 0x2330f8d9,
+    0xf2bb01cc, 0x0ef60f6f, 0x6462548d, 0xdefc5e5d, 0x76c9a7d2, 0xa8167ec9, 0x7de74715, 0x086ecb4d,
+    0xe5750116, 0x659c27a9, 0x756a5ac7, 0x4671a928, 0xd0cfe81e, 0xce9018f9, 0x1db6690e, 0x4dd6d016,
+    0x16f48821, 0xd387d07f, 0x8bd8dfd6, 0x12d8e938, 0x4db6e02b, 0x21093d86, 0x6f3f193d, 0x4dec1b16,
+    0x52cde094, 0x68a09783, 0x252a7213, 0x176e88bd, 0x3c467a55, 0x59fdf18b, 0x71fcff4b, 0xa73c399e,
+    0x72f7b61e, 0x48839ba8, 0x28115af9, 0xf5bce091, 0xb1989565, 0xcac24ab3, 0x4193ea18, 0x44ecedf8,
+    0xd459552c, 0x88e0bd81, 0xec9c7bd3, 0xfded915c, 0x1a06f407, 0x2a4441af, 0xe0f68590, 0x3a5f22da,
+    0x9b447ba6, 0xe4e59b37, 0xd5e65bcf, 0xc84354fb, 0x7dbfaa44, 0x9b9461a2, 0xd03aa691, 0xfeab2c3c,
+    0x3cedd78e, 0x0110159d, 0x70105649, 0xb9e2850b, 0xc8381a50, 0x019539fa, 0x521dfe1f, 0xee7ca2c2,
+    0x5ed7e42d, 0xece89cea, 0x6b81caba, 0xf5b5fcb0, 0xa035ffa1, 0x2c2a7ea6, 0x90efe143, 0x5ac73fc9,
+    0xd9954123, 0x3a10cfb7, 0xe25f9e00, 0xf6e3377a, 0x3e81c02c, 0x819b9f67, 0xf02dea31, 0xefdcbf1d,
+    0x742197af, 0x81f53a66, 0xa9ad6731, 0xdd15b699, 0x49f3f0d9, 0x4f442eff, 0x2a275f65, 0x4143975b,
+    0xfc80f4b2, 0x3fea4983, 0xe53c3db1, 0xb1bdecb8, 0x0dddc356, 0x36adf541, 0xb112a5e4, 0xb3516e39,
+    0x6589cd4d, 0x0fceffd4, 0x9a894f25, 0x8670b2f9, 0x3ccb681c, 0x6135c8de, 0x36036f8e, 0x5e9071bc,
+    0xe0753884, 0x3675395d, 0x87c6ef00, 0x3517b185, 0x68dc89e8, 0xeeb884db, 0xbbb75ffc, 0xf69631b1,
+    0xce0970a6, 0xb9defa38, 0x6229b013, 0x905f38a0, 0x935e526d, 0x086d2fcc, 0xe6e1cad9, 0x3d73741b,
+    0xbb763314, 0x2f1c7ec7, 0x3dee3b74, 0x7be545bd, 0x15f7b529, 0x85be5e6b, 0xf617874b, 0xc1e57ee4,
+    0x62008999, 0x8472f6ac, 0xce1612a4, 0xe6c6091a, 0x1f71baae, 0x27b090de, 0xd61b5073, 0xdc7832e4,
+    0x27eccdb0, 0xeff91e84, 0x910baacf, 0x9d2d871a, 0xb503a989, 0x9a2a0609, 0xed505199, 0x47da9f4b,
+    0xab7302c3, 0x44ab520b, 0xdbade78b, 0x455d18e0, 0x532ce659, 0xe9b611d4, 0x849f3e5c, 0xaf30714f,
+    0x7585687d, 0x682c7871, 0xfb7f01e6, 0x7cafc25c, 0x127dfa8e, 0x9eddf1b5, 0xaeaf084d, 0x7d94a734,
+    0xfa9e86c3, 0xe7e7e963, 0xb817ad57, 0x543c3740, 0x7676f944, 0x564f48bd, 0xd7b2b3b3, 0x6f84e33f,
+    0xa10420f3, 0x56b0eaf3, 0x7f03549c, 0x9fd9a148, 0xcd7f7389, 0x1b1a01ab, 0x1ed71bce, 0xb9b6e145,
+    0xc2170ff8, 0xaa5bc1ed, 0x5aaefb34, 0x7ab00f8b, 0x52387459, 0x9f7b696e, 0x704532e4, 0x12f9349d,
+    0x66673d67, 0xbef206fa, 0x39093fe8, 0xfd3b3d4b, 0x94a406e2, 0xda6edde8, 0xe1ccbcd3, 0xae4b7810,
+    0x55ba8ada, 0x31dbc520, 0x165f0798, 0x34c97aaf, 0x33f504e3, 0xaac05ef3, 0xafbd8068, 0xd67bbe01,
+    0xa0a3e6fc, 0x9ebabfa9, 0x3960321b, 0xc5f803f4, 0x138e573b, 0x9856e4be, 0x1c68a1d4, 0xfd0aa6dc,
+    0xe03d8c45, 0xfdb7d99b, 0x5e048482, 0x3a5eba71, 0xa5748dee, 0x033e0ba5, 0x9ddf0a06, 0x85e50692,
+    0x3faccaf1, 0x29fc1592, 0xe8ba8e79, 0x76919e19, 0x1ca327eb, 0xe111de6a, 0xeacd5f8d, 0xa4323763,
+    0xda1c1dc9, 0x09e9ef70, 0xdb1eea3b, 0xb5991d3b, 0x89a11ec2, 0xcc944ea5, 0x89f6b7c6, 0xa3baa6fd,
+    0x5e7b412e, 0xbc9a7ccd, 0x441c8e50, 0x587b5c15, 0x21812998, 0xf5a7e744, 0x0133899e, 0x32c980a2,
+    0x9bd745c7, 0xeb26f915, 0xcd3963cc, 0x62af6416, 0x3821a1dc, 0xfca4ef1d, 0xcea74a1f, 0x658eaf2a,
+    0xc947f694, 0xca3c3fd1, 0x0a43c0de, 0x2fa9b362, 0x380cd5a2, 0x11d85bab, 0x2ef0ae8e, 0xcdec0941,
+    0x918188e0, 0xa5f89a6d, 0xb3d48b62, 0x1dc47eb0, 0x3db25824, 0xc0ea3334, 0x24db8c70, 0xbb15c95f,
+    0xb7e7fd84, 0xc5bf4052, 0x98756716, 0x769b7995, 0x1b63777a, 0x37ad54b3, 0xa5eeb4dc, 0x510c5771,
+    0xedcbb1de, 0x41379c1a, 0x81b9aefb, 0x79b80ddd, 0x6f3860a6, 0x3e290ed6, 0xfec0da10, 0x614f1b0d,
+    0x1614e4d8, 0x93fd641c, 0xa0992bd6, 0x87239679, 0x043a6262, 0x375ff858, 0x7a60ef2c, 0x689bafef,
+    0x87959773, 0x7a0623c5, 0x3260d41d, 0x35e44004, 0xa461e7d4, 0xc3a719e1, 0x76d02a79, 0xe71226f5,
+    0xd1c161ee, 0x0baac5df, 0x2e825691, 0x7fc27f95, 0x6e131682, 0xb07b33f3, 0xcb335466, 0xf927e177,
+    0x2ea5cfff, 0x3ba9888f, 0x40e8f453, 0xe1bf8e2d, 0x829b18ae, 0xe9406e32, 0xac26a73c, 0xc2eceb55,
+    0xceac6668, 0xa00b6d1f, 0xf36966ec, 0x9533367f, 0x40bd2a2f, 0x03f93109, 0x77666906, 0xaec29bcf,
+    0x929182a7, 0x2fc9f8c8, 0x1c8f0c78, 0x757628ea, 0x7e3dc553, 0x82ced9a1, 0x8bcfa796, 0x746c8261,
+    0x14112ed4, 0x78b75753, 0x904a41b0, 0xe6c38b7f, 0x4c824fdc, 0xf4bc7282, 0x3db1bec2, 0xb74b5469,
+    0x77d2328d, 0x6a7fcb68, 0xc1c5d9d7, 0x95a23e6f, 0xce859a90, 0x86fcfdf0, 0x2b32c846, 0xc979ce94,
+    0x0a6bc3a2, 0x6f0ae85c, 0xcd5ade4d, 0x57816e76, 0xee00aa2d, 0x8a76b761, 0x9167642d, 0x11fbf8be,
+    0xfdc41a68, 0x7bc6c280, 0x666949a6, 0xb3e0587b, 0x0f300c05, 0x94dfbec5, 0x557c9cb0, 0xbf0d6c28,
+    0xbfb4cd00, 0xdf05c29f, 0x64796429, 0x1248fbe6, 0x55c3a4c8, 0x12f9efef, 0xf9fbc206, 0xf13ec0a4,
+    0xdee08e4b, 0x25ab21ac, 0x39467aee, 0x0bc19fe9, 0x3340e3be, 0x7a261a0f, 0x87ce78a7, 0x6ab08173,
+    0x817095f3, 0x0485f021, 0x4c001ff8, 0x9187792d, 0xab81af73, 0x924b5c94, 0x6732e3db, 0x34d2194e,
+    0x6302f089, 0xf9909d0a, 0x3ddf0895, 0xce851ba8, 0x0a97fc8f, 0xb38c7341, 0x6632f383, 0xe01baa10,
+    0xb11d7955, 0xd77d2665, 0x1b5455b5, 0x2b95bfef, 0x5a6b850c, 0xc622d595, 0x6a5f8da5, 0xcf70498b,
+    0x00c55c60, 0x5f90c3b0, 0xabf4af96, 0xa0634a04, 0xa42c21a0, 0x96594783, 0x23558b41, 0xfa99b01d,
+    0x2b634db0, 0x57daefe3, 0xa2e9c43e, 0x1e268395, 0x510e1ee6, 0x22059383, 0xdd86e0c5, 0x0767d969,
+    0x6b1d51c4, 0xa9d8f592, 0x3778dda9, 0x15a66bd3, 0xe7152466, 0xe0e8db2c, 0xa47ff945, 0x79037380,
+    0x2c8cc59c, 0x90a78f7c, 0x22d88f1b, 0x7322abe5, 0xb5514939, 0x55e4a082, 0x0af3ac02, 0xc60fb2f9,
+    0xbea7fcdd, 0xd336b9b3, 0x3bfe7f6a, 0x72953a67, 0x83243321, 0x1ee9b204, 0x8097be26, 0x4ff9524a,
+    0x2183cd09, 0x821abf56, 0x5ae88dcc, 0x8e7b5db8, 0x2dc3a6a8, 0x12baecba, 0x82064dd6, 0xe9802232,
+    0xedb34729, 0x98014d60, 0xa040d315, 0x8a2f9e74, 0xbeff162a, 0x81bb282f, 0x54b8066a, 0x5ffbdfc5,
+    0x40882bcc, 0xdf2cbd19, 0x97c3651f, 0xb0c38112, 0x05183e90, 0x79886016, 0x085203a1, 0xe787a744,
+    0x251333d5, 0x4d157531, 0x7b4c8327, 0xe1c217dd, 0xf0e07bc2, 0x45099ce6, 0xffabc0c3, 0x4ce3f207,
+    0xd7cf2a32, 0x64a7a8f7, 0xfb3a6907, 0x0d0fd832, 0x511114de, 0x66e7c3e4, 0x122d1fa5, 0x4463d689,
+    0x275870b4, 0xcb1ae11d, 0xd5d85206, 0x9ac543ea, 0x8df28210, 0x6f77ab34, 0x99ca832d, 0xa5e6344b,
+    0x76dc96fd, 0x088c8b8e, 0x82ee3951, 0x842bb345, 0xc0ed9e36, 0xdc689592, 0x2d9ad44c, 0x7fe433f4,
+    0xd1e1ed5f, 0x5b7edead, 0x855e8ee2, 0x3e8f68ef, 0xa1498062, 0xa27732ba, 0x1fcf12e5, 0xd582b258,
+    0x403f61fe, 0x4c996d90, 0x890fac7a, 0x184a9990, 0x1fbc94ed, 0x6b95c803, 0x5800b53a, 0x50617916,
+    0x8cdf91c3, 0x1fd980b3, 0x0cfd9811, 0xc7fb85f4, 0x35352f86, 0xc694e7dd, 0x1e399334, 0xfe6c928c,
+    0x0932a6e5, 0x20be7b3f, 0x2f2dc2ed, 0x3dfc1823, 0x49d5ef58, 0x063724ae, 0xff8dce47, 0x525aa30f,
+    0x68ca63f4, 0x3bea36c5, 0xca63ef22, 0x24026f1c, 0x0d8b6e76, 0x480d6bfc, 0x02c0eae4, 0xc7741693,
+    0x0166768c, 0x071cb832, 0xf5e25165, 0xf44e865f, 0x7654d1aa, 0xc68235b9, 0x6e6ddb34, 0xcb71190f,
+    0x2770f4d5, 0x9bd6ccf8, 0x6ab44561, 0xdbd22b46, 0xa89d0a4b, 0x57d9d0dd, 0xba662b57, 0x2d404b40,
+    0xaae61326, 0xf7874748, 0x1398b7a2, 0xea6e17c3, 0xfda4d65a, 0x19a683f8, 0xa7a0ea0f, 0x3d0e5941,
+    0x7157e9be, 0x2f05f09b, 0xa94b337f, 0x08f85632, 0x9df0056c, 0x0dd93fcb, 0x65880009, 0x6fd79a83,
+    0x6f552cba, 0xd6da552c, 0x310d1396, 0x6bf4011f, 0x5598b1ad, 0x797a2162, 0x34ccc483, 0x3966aef4,
+    0xf75a1806, 0x90c32b38, 0x58fe2f2d, 0x1b2f332c, 0x36ea6109, 0x101e58c8, 0x19e284bb, 0xf45c8cf4,
+    0xf065cf3b, 0x16976c0a, 0xf4105a32, 0x9d46d509, 0xd1fbe7f9, 0xa030b8b1, 0xd65c549c, 0xa492d0de,
+    0x95dd2565, 0x2ed55006, 0x3a9598f0, 0xb99bb969, 0x00fcf7eb, 0x2f158112, 0x8ac716a2, 0xc75c3162,
+    0x4e9b83ca, 0xba3b581e, 0x32c139b9, 0xab7b0c41, 0xa4f57e26, 0x4ee83610, 0xccc3ad73, 0x9e367ea7,
+    0x13833eee, 0xbebf165a, 0x26e61201, 0x23c3df31, 0x2c27fe9b, 0x9f3b6083, 0xc217c7e2, 0x8f6454ee,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000384785216761664836057412500977964978\
+                          56523182881313912761668255277583712667477744737709244389536050430475222646784 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812,
+    0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3d, 0x317ccd78, 0x10b11570, 0x62e0eda0, 0xaa4e2979,
+    0x00000000,
+    0x87797604, 0x496730ab, 0xd9d76a00, 0x97307238, 0x19408a36, 0xb1fc9225, 0xc33acb1b, 0x671bdf59,
+    0x5fbe8bd5, 0x96393831, 0x1c880ff5, 0x4edee973, 0x55bc49a2, 0xd5e4a481, 0xb2d0f9e0, 0x5535d37b,
+    0x7ae081e0, 0x576b6e0b, 0x99bde9e6, 0x0e524773, 0xb84f1ad4, 0x14235da4, 0x327e7f8d, 0xe13e4dfc,
+    0xcd08c5b6, 0x7b62efd2, 0x0a2cf608, 0xf9b199ed, 0x4f5691fa, 0x7bc15fcb, 0x92d450ef, 0x524a5fab,
+    0xd2c0471f, 0x5b2bae0f, 0x04fcce21, 0x4fe2e884, 0xb5681567, 0xf5f3b001, 0xd7ca6ed0, 0x8c3699fe,
+    0xab405607, 0x2b99cb7d, 0x7882e836, 0x25d63025, 0x186afec0, 0x67296fa6, 0x38f8fe21, 0x0da5d998,
+    0x92bed059, 0xaef5ddef, 0x914ff050, 0xf9eae793, 0x804653de, 0x30604aa0, 0x3a8bdcb8, 0x7dead90e,
+    0xc0478182, 0x727f58aa, 0xf9dbe410, 0x30245b57, 0x90985859, 0x31c6db26, 0x11c5c80d, 0x8d3166cf,
+    0x8e7b8510, 0x65312074, 0xe14a9697, 0xf18d868a, 0x3c32c584, 0x8e8e2635, 0x0462444c, 0x6012a774,
+    0x6b304a76, 0x275affa0, 0xbe9d3552, 0x83ab8848, 0x270968f6, 0x8ecf3a02, 0x35b160e4, 0xe44116b7,
+    0x7d9b0ccd, 0x6074f728, 0x1055f97e, 0x12d1e208, 0x5b665557, 0xc0ef0611, 0xd647329d, 0xa86a74b1,
+    0xb82c6a08, 0x14acaec2, 0x45d9ae4c, 0x52f33277, 0xb1aedc48, 0xcc4681ad, 0x8796ca40, 0xf164865a,
+    0xb795effa, 0x2ee60966, 0xb4da0b61, 0x89042576, 0x20208ae5, 0x2898aa0a, 0xf1786cec, 0x623f690f,
+    0x9d15711a, 0x89003560, 0x79210314, 0x7cf62f45, 0x337bed27, 0xa6438a35, 0x0d5f42eb, 0x3648841a,
+    0xbe21951f, 0xb4e51a55, 0x1664117f, 0xbd5b2baa, 0x6a0d3ae5, 0xcba05a93, 0x497e67a2, 0xca5f4246,
+    0xff9a2f5d, 0x48f3d1a8, 0xeb44953b, 0x0b40e771, 0xf1173128, 0x803a75b2, 0x72cdfb77, 0xe8920184,
+    0x8591bdef, 0x52c56988, 0x6df0cdc1, 0x487b7562, 0x559e334f, 0x98794775, 0x997541ed, 0x244b9ac8,
+    0xd0e5ca74, 0x50ae93c1, 0x84257634, 0x8168c01f, 0x19892a45, 0x5c702aa6, 0x9a771f81, 0x85cb1899,
+    0x02bcd92c, 0xeeff9f53, 0x78b83f36, 0x54c0eef5, 0x080f79b8, 0x2f946dc2, 0xefe0b102, 0xff2dccf6,
+    0x4add6f50, 0x35f36ac1, 0x5e0cfed1, 0xda7e7377, 0x3e960640, 0xd5988a2d, 0x157bf261, 0x87c0e989,
+    0x62d2ca30, 0xa9b66dac, 0xc79cb5af, 0x4921ab30, 0xd53ea563, 0x6df27758, 0x742eb935, 0x2c4c9787,
+    0x8ffb6e1b, 0x18f12116, 0x8e803935, 0xb10ca01f, 0xc1425b8d, 0xd9ab896f, 0x28b46c0b, 0xbddefca6,
+    0xc1f64993, 0xe63193e0, 0xdb9cafa4, 0xef96e2f0, 0xe9fe5536, 0x77f31c37, 0x5e329edd, 0xb4f78601,
+    0x8e02ddc8, 0x166e505f, 0x7423e9e4, 0xf408d788, 0x1359b1e7, 0xfc7c4476, 0x44095489, 0x66dceaa3,
+    0x051588a9, 0x0f36a3dd, 0x91cc2768, 0x3605ba8b, 0xb18d04b4, 0x732fa04f, 0x649b9487, 0x1577a394,
+    0xa494d5ac, 0xace0d005, 0x01bace05, 0x7bdf2be4, 0x983e2bef, 0xe29c88c9, 0x25cdadb8, 0xe26dd6f5,
+    0x910cc897, 0xfd26f0ad, 0xe6489716, 0x6ee1be8a, 0xf5d9d7bd, 0x132f33a4, 0x0ca58980, 0x845f6f9f,
+    0x47d59c54, 0x6d8b57c4, 0xfde627f6, 0xcb61e596, 0x36237d79, 0x2e889c6e, 0xd17ddd19, 0xe8d40667,
+    0x2de22e07, 0x01ed3534, 0x12233b06, 0x149008ec, 0xbcf3051f, 0x04c2916a, 0xc17bb6ef, 0xc8f07698,
+    0xfb340286, 0x32ca3d31, 0xa089dcde, 0xbaf90098, 0xe5cf7a54, 0x01a97dd3, 0x19916948, 0xabcd33bc,
+    0x71abb322, 0x8f7fea03, 0x77cb62ef, 0x9037703a, 0x752b7176, 0xf051d51b, 0x7b288357, 0xe5897a00,
+    0x45d0c500, 0x70c06013, 0xd1e38be0, 0x01274b1c, 0xce9a37e9, 0x898dc899, 0xa4e2be76, 0xc9e9437d,
+    0xabb2fdc0, 0x11e5280a, 0x068b5d79, 0x0a8b2c79, 0xb2c67477, 0x0d058254, 0x80687561, 0x810838fd,
+    0x4578929b, 0x36793d16, 0xd09a63c2, 0x9306282d, 0x7f750327, 0x5dbcb09c, 0x7d8d27e0, 0x50563157,
+    0xed0ba7a7, 0x3797c9c8, 0xc424e150, 0xa6253368, 0x5a55d4ae, 0x9f913dc9, 0x694537e6, 0x3f049fe9,
+    0xd12b4976, 0x406680b0, 0xd07d8371, 0x2a66c862, 0x57a87282, 0xcb37c29d, 0xd51f08c0, 0xac78a379,
+    0x847f4767, 0xbd6668b6, 0x4a698f27, 0x56ddac85, 0x35a9e9fd, 0xb626f109, 0x946dac6b, 0xa7849663,
+    0x32ad48e4, 0xe112ea2b, 0xdb045e77, 0xad1d7d48, 0x9e2241af, 0xed708985, 0x6d25eb49, 0x100fa958,
+    0x19a86f9d, 0x496186fc, 0x1975ff29, 0x0f9cdcc0, 0x6169368a, 0x8f94addc, 0x2c174b0d, 0xc79cf166,
+    0x99d3b108, 0x82a9eb6b, 0x9ef86b94, 0xd9f67744, 0x5a06d92c, 0xfcd6847b, 0x28790635, 0x8b37a38b,
+    0x00034a7a, 0x497e6b3e, 0x0e599bca, 0x4ff0847a, 0xdeae9c96, 0xa8ee0a43, 0xf574e623, 0xc0925f2b,
+    0xc33270ae, 0xe0e1d3e1, 0x315504b5, 0xf4248ecc, 0x23b87598, 0x4e3bc826, 0xe35bec95, 0xbff3de5f,
+    0x64a6b3a8, 0x597541e4, 0x7e914e84, 0x36c34139, 0xf293089c, 0x5b78344e, 0x186e3958, 0x6dd138ec,
+    0x07ec86bb, 0xd668e90c, 0x69bec74c, 0xe7cb203b, 0xadff202e, 0xcbfb04c6, 0x3ec1f69f, 0x461554d1,
+    0xefc813ed, 0x9546af67, 0x50e200c4, 0x0ff922bd, 0xc24147ac, 0x17b1a054, 0x4e40eb63, 0xfdd7eefd,
+    0x5385d7fc, 0x36c26648, 0x68ad0a65, 0xd2f47eea, 0x632f4311, 0x80435d14, 0xa28668ba, 0x418489df,
+    0x6324edf3, 0x559a5575, 0xdd74eb73, 0xaf943191, 0x091d197f, 0x6d4be251, 0x17ade7f4, 0x3f9bd730,
+    0xfacaef35, 0x7159b307, 0x228f00bd, 0x7086e2e6, 0x4caea914, 0x130ba6c3, 0x30502bea, 0x1a0d2468,
+    0x8b80885b, 0xa71cb31c, 0xdaeb35e0, 0x01b03b9b, 0x5ef2f60e, 0x08d7c02c, 0x50c4dce4, 0x6c617ea3,
+    0xf2c548f0, 0xdd31d81e, 0x68b3bbb1, 0xc128b3e7, 0x09b7611b, 0xdd26faaf, 0x8f3f82f6, 0xef154f58,
+    0x5a781890, 0xe5e23410, 0x55f81b43, 0x89ac98ea, 0x7d570fa7, 0x8e2bc277, 0x597b8aad, 0x76a4886b,
+    0xc0bd32c9, 0xb36f3aec, 0xe45c00fd, 0x054e2109, 0xdaafe85d, 0x85ad001c, 0x8ca67ea5, 0xc960b769,
+    0x71dc5894, 0x0a064d69, 0x4f72a7da, 0xcee0e5d4, 0x70326981, 0xeb74331a, 0x2b0a1120, 0x3e2c484b,
+    0x7011b3ae, 0x7f253055, 0x2d197657, 0xa2f3d8ad, 0xb8f50de4, 0xddd40c6e, 0x73b1e5fd, 0x840e28e0,
+    0xbebbaf69, 0xd7b92dfe, 0xa7543b20, 0x6a3b50aa, 0x36ff658d, 0x2f3cb064, 0xef935656, 0x808b738b,
+    0xc9a03248, 0x30bc3691, 0xf2d5e372, 0xa6020faa, 0x7f7b9696, 0xd0f5e78d, 0xd616ddc3, 0x2fa200b4,
+    0x57b38567, 0x99f5372f, 0x5687f784, 0x92922b38, 0xc4fc6d3d, 0x70161058, 0xb22d85dc, 0x85d69558,
+    0xee81ae27, 0x9899bb99, 0x1f791be7, 0xc2ac01d8, 0x262cf373, 0x3e394a32, 0xc8fdf466, 0x6e166d16,
+    0xa1eae4f4, 0xbdfbdf41, 0x50dbdf11, 0xea9a5892, 0x14d3e4df, 0x8c1fcf79, 0xc459c8c4, 0x46b29752,
+    0xf9747902, 0x3aa33e7b, 0x75024ea9, 0xb1ca9574, 0xec8a42e9, 0x10cd2fd1, 0xc0b5227b, 0x82f533c6,
+    0x0bfa1cde, 0x3f761f87, 0xceee6534, 0x119287af, 0x16a66da6, 0x2a81a6a0, 0x525628e5, 0x0119ac23,
+    0x3a013db7, 0x5c6f7f80, 0x2c3a4ad0, 0x2757f1ef, 0x72b48008, 0x877990ee, 0x4318ec6c, 0xf83e529b,
+    0xef7863f0, 0x01b3c583, 0xed7bc30b, 0x7a0c16d4, 0xa6fa8363, 0xcdc5356d, 0xa00ad034, 0x67d15cae,
+    0x323f3cb0, 0xec1ef9db, 0x8271f399, 0x3aa35453, 0x95212a44, 0x07db7875, 0x71ccdb91, 0x6b471735,
+    0x1ce58e12, 0xab02ca8f, 0x202420e2, 0x4cc43684, 0xae235c50, 0x776a29e8, 0xd9c5e525, 0x9e9aa664,
+    0x157e4734, 0xe75f8dee, 0x45c67e6a, 0x42557be2, 0x6e231959, 0xd14ed263, 0x1589cfca, 0x0d8ed1fd,
+    0x8b998aec, 0x40103ff1, 0x893b2f52, 0x24a66ae6, 0x05fc5724, 0xeffe1834, 0x65028186, 0x82bbd207,
+    0x9f1ab224, 0xf9c059a6, 0x253ecf93, 0x574ae752, 0x505de286, 0x82caae76, 0x120ea6cb, 0xe98aaa80,
+    0x3e14a88d, 0x8f29d022, 0x3b1508cb, 0xc5bf051a, 0x8b5f100c, 0x77d3395b, 0x3230312b, 0xcbf3a030,
+    0x6650fe1b, 0x067ce3d1, 0x935686fa, 0xde9b0120, 0x0ba11398, 0x1108580d, 0x49afb011, 0x0b785fa3,
+    0xcfe94045, 0xc91f7e4d, 0x68cfc1df, 0x5bd4f629, 0xd37068d9, 0x62dede42, 0x503f306a, 0x7485d52a,
+    0x52b09ea8, 0xb87453be, 0x22481455, 0x3feded2f, 0xecc7b0db, 0x3a752720, 0x12a0dcc1, 0x55ed8b3c,
+    0x9b432e35, 0x1d270a80, 0x0735cddb, 0x347213ff, 0x33986ef3, 0x82c4d232, 0x6e4555f9, 0x02de1f5a,
+    0x55c1acf9, 0x2efd8430, 0x021aaa43, 0x9d9f0c8c, 0x6c7b3fc0, 0xe891261f, 0x2b537f46, 0x440febc5,
+    0x01f9d9a6, 0x89d6e20d, 0x1a804012, 0xe814d7cd, 0xda903a54, 0x8ce8cf3a, 0xf8b3290d, 0x00ef854a,
+    0xa11c7508, 0x0090b8b0, 0x08a1e71b, 0x24c14fec, 0x7d7f28f6, 0x759604ee, 0x26ee1661, 0x8d7dbf90,
+    0x585f7672, 0x74901be8, 0x0d11a409, 0xddb8c058, 0xa3d4cceb, 0x09c08628, 0xd807aa03, 0x971e7954,
+    0x96597660, 0xea6de389, 0xc8148ab8, 0x34f9a55a, 0x218cad8c, 0x669a456b, 0x7e065e1a, 0x21b86900,
+    0x8231298b, 0x58544f19, 0x15757c75, 0x0fa1797b, 0xdd4f68fd, 0x14ba8f49, 0x11951135, 0xa140e6b6,
+    0x33aea637, 0x8d7af899, 0x9111b1aa, 0x856d9276, 0xf6f5fd4e, 0x4356aa5b, 0x9862d8d4, 0xbe1f8942,
+    0xb6cb749c, 0x303722f8, 0x7f42a47a, 0xb12104d8, 0x8d35b451, 0x7b129f83, 0x2c1c0a31, 0xd2332d3f,
+    0x67f4f3b7, 0xd9d17f5c, 0x9db4ffec, 0xfdf99e2f, 0x0333607e, 0x5ba1f5d1, 0x9681f32f, 0xca912d77,
+    0x373cc181, 0xdf7037d8, 0xc4958a8e, 0x2a83817a, 0x4a6232b3, 0x9036bfcb, 0xd4c8ee71, 0x9d5fdb5d,
+    0xd9153b82, 0x180f606e, 0xed5d5081, 0x097332b7, 0x48d45ef7, 0xc378d145, 0x3245fd93, 0xf384d410,
+    0x13c82d9d, 0x193643b6, 0x96aeba32, 0x9a384a84, 0x41348958, 0x838aa2e7, 0x862880e7, 0xa04aa227,
+    0xb2877dfa, 0x6cfd0cbd, 0xb6b1e76b, 0x22bc2af6, 0x89801766, 0x871d57f3, 0x36dfdc51, 0x67493994,
+    0xa5383bbd, 0xd97f557c, 0x16a3c11a, 0xfc568e4b, 0x1d2f4e65, 0xa1c44464, 0x20c4992a, 0xff31cb33,
+    0x146187f4, 0xf7b780d6, 0x77a28aec, 0xb0b9cbc6, 0x6a8671c3, 0x12a3e7b6, 0xb9fac008, 0xef919c02,
+    0xf67dedd0, 0xdf6d5cf1, 0xc737fec8, 0xb0f8cf09, 0x3f78c06f, 0x3d9f3992, 0x9d3b7888, 0x6d7f5b28,
+    0x7ee41fd6, 0x3cb29773, 0x2a6cd95d, 0x342ba7df, 0xee8b7cad, 0x1f7dd045, 0xdb8a6440, 0x5f66b9ca,
+    0x71c8454b, 0xbb8c1f76, 0xafb33cdb, 0x12143b58, 0x175aef15, 0xe77fe510, 0xd6529672, 0x9067e034,
+    0xe1d8b113, 0x5df1015a, 0x2647c8b4, 0x0deff2f9, 0xa63a141f, 0x79b632d9, 0xcfc24552, 0x7a81e1da,
+    0xe47ec2b9, 0x0322d35e, 0x50c46c99, 0x8603d1d0, 0x64ddd01e, 0xc37bc7f9, 0xabe1dd97, 0xa3b916af,
+    0x87afc212, 0x77a22a1d, 0x2e42f748, 0x7caacbbe, 0x6e53ad28, 0xb1b5f5c3, 0x05fa6a8a, 0xce9abf0e,
+    0x17986bab, 0xe4802746, 0x27ffa6f6, 0x3de099fa, 0x671d4c8c, 0x64483f15, 0x7c66a8e6, 0x94a956fd,
+    0x90ef70b8, 0x190e2e6b, 0x8332faae, 0xd7c60cca, 0x5eba80db, 0x12980086, 0x1caa5b44, 0x24822454,
+    0xb66616cb, 0x6f3a2a66, 0xffcaeb19, 0x48cb9732, 0x914dd1c7, 0xf97b4f86, 0x2ad3c7f1, 0x012a7408,
+    0x031ac1aa, 0x582a48c4, 0x9a5184bf, 0x4cf342d0, 0x54891332, 0x2a278ca5, 0xe836c88d, 0x59516ff6,
+    0xf8c322c4, 0x4645a5a3, 0xb9d59893, 0x6025b231, 0x71d1339f, 0xdaacba76, 0xb2005230, 0x252eb79f,
+    0xc9cd43ae, 0xfa54477c, 0x5d18cc54, 0x708ca375, 0xd2e292cc, 0x77b4a19f, 0x6f4ba12c, 0x88a09027,
+    0x40c59942, 0xcbda2e69, 0x2ac76215, 0x26cd12c1, 0x56345c43, 0xc8defbde, 0x84447d88, 0xef209bf0,
+    0x3871503b, 0xe13e2982, 0xb26ab27c, 0x65dcfe03, 0x579a1abb, 0x388088d2, 0x3d7b5f28, 0xd4fde858,
+    0x11417fdb, 0x5c4d7f8b, 0x20a58aeb, 0xe0fda64c, 0x44a47ff8, 0x94cdf2af, 0x1871a7b3, 0x5cb2ca8d,
+    0x90b6a5fa, 0xe703c20f, 0x79d26151, 0x97b131af, 0xc2a4a9d4, 0x6dce7f1e, 0xd97650d0, 0xdd2b38f3,
+    0x7fea9698, 0x2ffbb4d3, 0xe0a67cdc, 0x4f3de72a, 0x808d5e57, 0x93a1abdd, 0x4955b7bc, 0xc2796981,
+    0xc6fdb2ce, 0xee260529, 0xf86a9ba4, 0x7202db02, 0x3d856336, 0xe7867646, 0x925dc460, 0x4aba2d5b,
+    0x013e5190, 0xef91c764, 0xe43709d1, 0xa47f6d51, 0x2d082c60, 0x18cc157d, 0x364f69c6, 0xe4dd8346,
+    0x331c1459, 0xda09bb5e, 0x6078e8a4, 0x9f446cbd, 0x039e0f7e, 0x49c3d31d, 0x46f034af, 0x0923d82c,
+    0xb4b75027, 0xb012f656, 0x70ed3296, 0xeff9d087, 0x66726270, 0xff1c978d, 0x099f1d61, 0xb93a80a9,
+    0x0371c7a0, 0x770a948c, 0x0d4fdcc6, 0x84c7f2a5, 0xbba064b2, 0xd2719d58, 0xf806ad4b, 0xf9c2ee00,
+    0x28a29855, 0x20b73b32, 0x164da510, 0x3f36b50e, 0x710e5f39, 0x9d7c960d, 0xdfde793e, 0x8553cafe,
+    0x74b65018, 0x86356826, 0x9fa474e9, 0x36c8520f, 0x1ae52e15, 0x336ff8dd, 0xbb22295f, 0x951baa2b,
+    0xf17d81ea, 0x712cc24f, 0x84e2310c, 0x77ce62ac, 0x4c371335, 0x047f8636, 0x0467da76, 0x3b5abc2a,
+    0x5a07bb81, 0x6ee13af9, 0x07dd413b, 0xd742057b, 0x79016515, 0x598b88bf, 0x268c0ce4, 0x8284a6af,
+    0xd17001d9, 0xfd7c66f9, 0xbc63b934, 0xef9e03b5, 0x05f15d69, 0x3eeb1ffe, 0xd5a97b48, 0x1715ce0b,
+    0xc2d31d44, 0x63c15052, 0xbca1b934, 0x2e87193d, 0x0729f382, 0xee81267d, 0x341c6b55, 0x9368efb8,
+    0x34186dd2, 0xa2bc5ac2, 0x2145db52, 0x8065e857, 0xdbecc04e, 0xf2348348, 0x42fc4cc6, 0xb05bc950,
+    0xc6f60506, 0x21fa070a, 0xd4f2b03e, 0x30bf5fcc, 0x3a259b06, 0x59a15fdf, 0xc9d9fa99, 0xeddcf3d0,
+    0x8415bc8e, 0x4b22b5dd, 0xfa5731be, 0x2eb922bb, 0x5ffbcf76, 0xae39cb5c, 0x270d248d, 0xd9e3baff,
+    0xdf9cad5f, 0x04c5cf18, 0x50df404a, 0x12b97675, 0x69c92152, 0xaad6ad0c, 0xf6d31b4b, 0xbf81f9d4,
+    0x95c165cc, 0x335ad98e, 0xdcdd3898, 0xef913943, 0x20368e13, 0xbaaaa7eb, 0x3b0b3329, 0x1d4a3278,
+    0x3254d615, 0x3cecdc9d, 0x07dfc2ea, 0x3592431e, 0x993ee7fc, 0x60b17eb4, 0x805eaad2, 0x0a7a85f5,
+    0x81ca5091, 0x6c5b7984, 0x54409b32, 0x2d872eb2, 0xb0ee2c6b, 0x1a85d7a7, 0x7fa1c51d, 0x309438f1,
+    0x862490f2, 0x7472073e, 0xa28d7142, 0x59c31279, 0x11fedf37, 0xb07475c7, 0xc0c11671, 0x5b46bfd9,
+    0x61da51ac, 0xdb07fdca, 0xde60f9f9, 0xd0444273, 0x2d61e5d8, 0x1c1ec426, 0x6bf0d670, 0xdde1bf15,
+    0xe72c0df6, 0x8ef85b07, 0x459e58f5, 0x07e0ef55, 0xbb7ca355, 0xb5d2a593, 0x34ec0a76, 0x8ba6934b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000192392608380832418028706250488982489\
+                          28261591440656956380834127638791856333738872368854622194768025215237611323392 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409,
+    0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461e, 0x98be66bc, 0x08588ab8, 0x317076d0, 0x552714bc,
+    0x00000000,
+    0x83af2838, 0xcbf341e0, 0xb5f095c5, 0x9b9f9a4c, 0x8a5a7969, 0xc5a3ebbf, 0xdb89009e, 0x294056f5,
+    0x9b34c065, 0xf8de4076, 0x71c1aab9, 0x8d574d2c, 0x59322395, 0x4b1b9398, 0x5a70dd18, 0xb4a04266,
+    0x616ff427, 0x546ae1c6, 0x2b3fef27, 0xbcf380c4, 0xfe0f7619, 0xae547e1c, 0xd27edc60, 0x46358094,
+    0xdc2476e2, 0xdc0f9f2d, 0x45d61fba, 0xae79493b, 0x4bcb9909, 0xd8bdaee2, 0xe4887eca, 0x8cf5d6b8,
+    0x99eed77f, 0x39aa9b22, 0xa7d6761d, 0x7fd6c417, 0x7103bcbd, 0xad374560, 0x81eaab12, 0xa70b43aa,
+    0x2561e27f, 0x36f4a361, 0xad72a822, 0x9e3a80fe, 0xbe5968aa, 0x9b80107a, 0xd9c29c12, 0x286e16b6,
+    0x95e412ef, 0x8bde6ed2, 0xd5de7b6b, 0x35c71784, 0xeeb6e628, 0x2dc70c7c, 0x8b248ac7, 0xb5d4b8bd,
+    0x5c4500f2, 0x29607618, 0xf834ab8f, 0x7379dbb1, 0x4bc8b457, 0xbc4fe828, 0xc1d2c939, 0x4058bc3f,
+    0xb3356124, 0x643d7229, 0xd8c8577a, 0xa8880a91, 0x0e1ebfdc, 0x4156fcd2, 0xf8fa9e4b, 0x5df3caee,
+    0x8adc3c7b, 0x6c9a8534, 0x03d69555, 0x189b2cf6, 0xc60042eb, 0x8f4e757a, 0xf8c2e7f3, 0x14ef3222,
+    0x9a11469f, 0x15109543, 0x8ce0ca46, 0x44120c84, 0x25807f19, 0xa3b5cef3, 0x8a1228c3, 0x00c33e34,
+    0x3388f829, 0x3487cc9e, 0xccfab076, 0x65a63482, 0x7145b7b1, 0xfe12f28f, 0x92aefad9, 0x4538657e,
+    0xf3268933, 0x2e74d5bb, 0x3aedbf4d, 0x9b3e2329, 0xae491e61, 0x3e72dbbb, 0x229c0ed2, 0x5028892f,
+    0x7a73e00c, 0x8d8c2cf8, 0x89c80d02, 0xd1e17993, 0xfc4a6437, 0x29b8470c, 0x543b584d, 0xc4a34fcc,
+    0xe1068de2, 0xf72cf4a8, 0xeaa4cb49, 0x6ffd47c5, 0x43dda216, 0xa7dfac4e, 0x84ce5ca7, 0xd3623bb7,
+    0x4a5a2826, 0x771f97ac, 0x733d7975, 0x6a9af4d8, 0x33e00e3b, 0x5965b86c, 0x5f50a08f, 0xd7b7ee3e,
+    0x77da4ef3, 0x2b272dc7, 0x21c8ec3f, 0x0570d70d, 0xccf9a50b, 0x42d6aeef, 0x21218a8f, 0xa41b7826,
+    0x5276bb1e, 0x4a121a40, 0x0670933b, 0xd58a9767, 0xf46ab4f2, 0xdf11f173, 0xfaafc458, 0x38a6d262,
+    0xe3a8338f, 0x47281b51, 0xfc2843ce, 0x0f3bd7a5, 0x1d9d03eb, 0xb9d33102, 0x6f865b00, 0x23946964,
+    0xcc16c6aa, 0x3ee3536e, 0xd66508d1, 0x97c0e6fe, 0x6d459b59, 0xcbf8174c, 0xa0ebb7fb, 0xa2d1ac65,
+    0xc0e11571, 0x0876f382, 0x940b5431, 0xb50978b2, 0xa571424d, 0x14a1a41a, 0xee40a4b4, 0x9ef2f9aa,
+    0xe54abc09, 0xabea3b9f, 0xd9cdd71d, 0x340fb9d6, 0x17ec04c1, 0x599945b9, 0x75741e41, 0xb4963553,
+    0xc7a45580, 0x2ec1cb6c, 0x564ace30, 0x9ce1e98a, 0x1e27f820, 0x03a128ac, 0x8ba505a9, 0xda67db35,
+    0x7e3863d2, 0xdee754d3, 0x4c6802ed, 0xebe08e94, 0x147a7133, 0xf10af028, 0xa9be6f3e, 0x76a4ae9e,
+    0xcbb60dc2, 0x4e1b7117, 0xf1730538, 0x59b8934c, 0x90db915b, 0xd683778a, 0x36d0d1a5, 0xfb14f11d,
+    0x4598f15a, 0x9cedd336, 0xbf994e25, 0xc819db4f, 0xf4861936, 0x0c59510e, 0x0c905657, 0xccdef4b6,
+    0x515845e5, 0xc687f10b, 0x073f8d86, 0x657e9914, 0x44c009a8, 0x199c0a35, 0xbabf283d, 0x4c69ed03,
+    0xbec5de04, 0xb81511e4, 0x3159d418, 0x5e0711df, 0xda9fb22f, 0x73a19054, 0x76df90bb, 0x05bc5f10,
+    0xc27f2c33, 0x761fb772, 0xa762ef16, 0x813c1084, 0x9b89d131, 0x0bcd867f, 0x66938b43, 0xe5711509,
+    0xedf52f23, 0x5233305d, 0x5acc354a, 0x53975b72, 0x29614488, 0xad216ba2, 0x09cfed63, 0x3d728c0f,
+    0x32cbbcaf, 0xcdfde960, 0xf72b4988, 0x003c6dee, 0xe19efdf1, 0x058de80f, 0x9a032260, 0x7f0aa896,
+    0x9f6db60f, 0x9113baeb, 0x56776f80, 0x6adb44b7, 0x5405d300, 0x812de125, 0xde09447b, 0xfc3ffa9c,
+    0x86e4e2ea, 0x5606b7ff, 0x84f7537f, 0xb1cef31e, 0xf2bba03e, 0x674b531e, 0x6a1b1322, 0x70335a47,
+    0xa42c5e3e, 0x7d173438, 0x848e763e, 0xc99e9fdb, 0x5965fb29, 0x427e4c75, 0x4558c1d2, 0xe5c80603,
+    0x77b9c168, 0x87bd080a, 0x59928635, 0x7510747b, 0xe11f0bf6, 0x3d7c5a27, 0x5e20d579, 0x4a8ffcdd,
+    0x7bc98451, 0x89343332, 0xddf42fb7, 0x96cf85c7, 0x5a55a6db, 0xa4eb704a, 0x9d091b1a, 0xdcfd1e41,
+    0x03d63378, 0x814188ec, 0x62285f52, 0xbcc71dcd, 0x6b655caa, 0x8aa13dc8, 0xf67a6991, 0x08912b93,
+    0xede61428, 0x628db724, 0xbf77039c, 0x1556936f, 0x7e1ff060, 0xf67ec5ca, 0x2ecbf16b, 0xbc11b2cb,
+    0x218a4246, 0x47f51e7a, 0xb0bd0cc2, 0x8a2eb63b, 0xf07498d0, 0x74ab08ef, 0x3f9bc5eb, 0xc5f6691f,
+    0x738564c3, 0xd5bb589a, 0x15b13ddd, 0xc121a322, 0x77bacfc2, 0xe2025a69, 0x0a9583fc, 0x17cf8158,
+    0xf38c4fda, 0xe616c49d, 0x9fdc2e79, 0x5ff29da3, 0xe09afc1c, 0x4b52ea78, 0xbb724333, 0xc2f69ffc,
+    0x41debbee, 0xd5e3b98a, 0xc56fdb5e, 0xc85df67e, 0x923e55d8, 0xf7a08f5f, 0x4bba2302, 0x22bdd256,
+    0x4e018c0c, 0x4457097a, 0x9ecf4040, 0x04af93d7, 0x39bbd60a, 0x506531a2, 0xa5d9c65a, 0x9977876e,
+    0x4f6e8a82, 0x0edcedc6, 0xe796540a, 0x838574d9, 0x9591fcfd, 0x7e45b9ca, 0xf96c8831, 0xf66ff176,
+    0xcb32e497, 0xe9ce1d7a, 0x16332b7d, 0xfd73d4bb, 0x1b2a1888, 0x8a1d2ad5, 0x3e61ce48, 0x204720cc,
+    0xc9f95e86, 0x848fa0e5, 0x0287cce4, 0xd255564f, 0x74664413, 0x1213e91f, 0xda3b6785, 0x4f62b60c,
+    0x297f0ee9, 0xb0fc0966, 0x30e1b93f, 0x45a5c9a2, 0x5d871508, 0x0da733ec, 0xb121b5c6, 0xbbbdd1d5,
+    0x063ac33e, 0xa1893d14, 0x7b5a8ecb, 0x567eb5a6, 0xf24c267b, 0x8d920100, 0x1d3a1127, 0xbcccf44d,
+    0x47370bee, 0x9c75e46b, 0x104c8c2a, 0xb17f1a52, 0x9fe34168, 0x1e325ec1, 0xc236c520, 0xdf727089,
+    0xb69001b1, 0xee110f58, 0x7178d2e6, 0xa887138d, 0x06a1c0d4, 0x8e3192ef, 0xd61c765b, 0xd1cafe32,
+    0x9dd8544e, 0xaee2febc, 0xf451e262, 0x348df591, 0xf0ba010e, 0x0b3acbc4, 0x4ab0ee46, 0x8729f6d0,
+    0xeb35a14c, 0x857f3ed6, 0xd932e8bd, 0x5dcb5594, 0x7e8a7d7b, 0xb74fa49f, 0xa15f50b4, 0xdc1253dd,
+    0xac8fe62a, 0x56bc68ac, 0x5e5f2e3c, 0x569c0088, 0x7b8dc4e5, 0x4334a9a6, 0x4cc564ac, 0x6031f7cc,
+    0x4fefb479, 0x95fc5274, 0xa755776c, 0x0af5e5aa, 0x1d958c48, 0xe75693a7, 0x856e39b8, 0xf93c758b,
+    0x742754b9, 0x29daf28c, 0x26057675, 0x701269ce, 0x984960d6, 0x50aa40c4, 0x7b3b8c81, 0xa83d4778,
+    0xf7367b5a, 0xe7d9120f, 0x00dc70db, 0x78c45a64, 0x3021cf93, 0x6d25dc64, 0xcf15588d, 0x68869858,
+    0xb9f898a2, 0x6eeb6e3f, 0x5a662632, 0x374d63c0, 0x4af1acad, 0x34c5fa5b, 0xaf561746, 0x38fe6ee2,
+    0x16dcd1fc, 0xe968d5af, 0xec9699ba, 0x1ed06d38, 0x76b69764, 0x0eeab6fe, 0x847e06be, 0x817c8924,
+    0xb6b0c8ed, 0x13e6d6a8, 0x7e64394e, 0x1c924bac, 0x62ebef9d, 0x73e4e2f3, 0x1f5cf017, 0x51509dc8,
+    0xfe58dd19, 0x02a7cd8a, 0xf5823b82, 0x9bcc9fe5, 0x9d05f50a, 0xa1b1eae2, 0xb85ee00c, 0xd0cb6c7a,
+    0xa2947650, 0x42e24266, 0x723148a9, 0x97005f92, 0x8dd6f142, 0x7f9ac0bf, 0x4b6b7d71, 0x52e0ad6e,
+    0x500757d1, 0xdca3a67f, 0x6e97fc9e, 0xfc5b3c2c, 0x3ae4d1bf, 0x86ce498d, 0x9c5fdb9f, 0xc27d3daa,
+    0x5de5a5c6, 0x043e3b02, 0x52776b39, 0xe962aebd, 0xc80b0668, 0x68eca637, 0xf435461d, 0xc61cd49c,
+    0x50225999, 0x9b4a4cdf, 0xf9f995de, 0xb1babc6a, 0x4415019b, 0x44f9fbfd, 0x87ecd455, 0xdf203ea2,
+    0xcafc85d2, 0xb83e6449, 0xf1400878, 0x8f890fd5, 0x5ea6d79d, 0x81a498de, 0x0224cc2e, 0x913c701e,
+    0xd3a084a5, 0x5a8be099, 0xc1db7ed9, 0xd4cee55e, 0x69369578, 0xbe81cdca, 0x4d9b6580, 0x78380f15,
+    0x7dad9bba, 0x72038197, 0xc8cfd8c1, 0x0ac6b6e5, 0xb9bb1c73, 0xe5b19238, 0x285be935, 0x4300be47,
+    0x1b317829, 0xd0f42759, 0x7547993a, 0xd9291de7, 0x8d3d6f1d, 0x263a259e, 0xc3da4569, 0x94887aef,
+    0x521489a2, 0x213dec5d, 0xe142bde8, 0xd0d73e47, 0xa56e28a9, 0x4550f7f5, 0x2651e48c, 0x79d1bfa3,
+    0xa734fbe6, 0xb71b7ab1, 0x58ce7831, 0x3128541c, 0x2a2c6031, 0xd5f3e751, 0xa991d4d7, 0x56d6a572,
+    0x367f9bcd, 0x9127c969, 0xd21fdb83, 0x76e9705c, 0x01e29b1a, 0x9d5f5414, 0x24402b35, 0x5e7d1adc,
+    0x901ce33c, 0xf57ea3e3, 0xe8e02c5a, 0x263a9586, 0xa30e844c, 0x6be4dc68, 0xea3484a0, 0x3e83a875,
+    0x4f040deb, 0x1e8d9f21, 0x7ca7b402, 0xefd529f3, 0xf33caf4c, 0x7f77f12a, 0xef20f307, 0xcd603765,
+    0xc38aeb9d, 0x092c7b57, 0xe06f06ac, 0xe341d0d6, 0x82c7d294, 0x04bbd4f9, 0xd0e6cbdd, 0x6562f883,
+    0x2c891152, 0x4086980c, 0xe3709aae, 0xc6385f23, 0x10313e16, 0x93325c4d, 0xf2c92e9d, 0x48d627db,
+    0xbc23c869, 0x73ea32d0, 0x9d2fef90, 0x7ab6148d, 0x6f99265f, 0x08f38b46, 0x16e2c43e, 0x67bc8d90,
+    0xabd47287, 0xdf7c438c, 0xcd1863fd, 0xc21e2653, 0xc72f3584, 0xc294e845, 0xa591b58e, 0x1040e385,
+    0xd0982c1d, 0xc49014ac, 0xedd349b9, 0xa91275bf, 0x2d6c8be2, 0x34b28ff8, 0x054316b0, 0xe07723ee,
+    0xc6814584, 0x9aefa919, 0x2beeefb1, 0x6bdee497, 0x85aaaf72, 0x3ed6a2dc, 0x38d3ddf6, 0x634ae5b7,
+    0x5c78a852, 0xd97dec72, 0xa1a85265, 0x78b331eb, 0x16e77380, 0x6581c432, 0x2f9bbe97, 0x02b7a374,
+    0xeb19a237, 0xf98235be, 0xc48f3cd4, 0x3d2834a3, 0xe0993db2, 0xf7674ff1, 0xa33c5543, 0x168fee44,
+    0x86725395, 0x56ca96a8, 0xba7ddcfa, 0xc061b11a, 0x5e88ccd3, 0xd23831dc, 0xf5632757, 0xafb89633,
+    0x2e163649, 0x07ae0662, 0x7378e21c, 0x8cfe5e12, 0xc6e4a063, 0x36706373, 0xdc424fbc, 0x21f92299,
+    0x79ffa39e, 0xef68dcd9, 0x82b95881, 0x5a5f15a6, 0x4ed38b14, 0x2f7b4f55, 0xdf4c3c50, 0x3ef2194d,
+    0x485d1a2f, 0x008e042f, 0x41e98d9e, 0x043bb5fc, 0x5af0731d, 0x85cd4703, 0xb3054f29, 0x852afb3e,
+    0xfb42260c, 0xf2ab17de, 0xf19cb2d2, 0x4a6d50ff, 0x05381970, 0xcfdcf9eb, 0x6beceae2, 0xbfe16d7f,
+    0x510059ac, 0x6b6438c7, 0x0a31e992, 0x2691ed2d, 0xd4b419cb, 0xa554c369, 0x4dc9cb4a, 0x4ebd6498,
+    0xefd4f4e7, 0x932e1f91, 0x972559be, 0x01c3b767, 0xa74da010, 0x74189cc3, 0xfc4fccf3, 0x7bbdf712,
+    0xb04b6503, 0xc900d2ec, 0xf505b6b3, 0x2779c164, 0x90118b2f, 0x0ac71345, 0x7a9b3ab8, 0x794776c2,
+    0xb1520a32, 0x1298149e, 0x1bf4f93a, 0x18453bda, 0xd5b18472, 0xf609c2e5, 0x733c0ecf, 0xb8a8f82f,
+    0x28b63d72, 0xc13f1fcc, 0x305d777f, 0x7d121e5a, 0xc14fd875, 0x897e12c8, 0xccbfbfe5, 0x4f8bcabf,
+    0x6a31ff3d, 0xff18481f, 0x520e6c7e, 0xe01fa13b, 0x6f3de4f8, 0x079f66af, 0xb14a7090, 0xcc33cfed,
+    0xf1865f23, 0xf2e98bff, 0x23096fc9, 0xff64ebfd, 0xae1ad443, 0xdd822083, 0xbefc9985, 0x01130e35,
+    0x2e130941, 0x46bac462, 0x249650a0, 0xe9d7c1eb, 0xfe9a2de5, 0x89877ebf, 0xfc94d212, 0x4844dbe9,
+    0x0becfb5d, 0x0d183d0d, 0x1447e0fe, 0x7ac44b4e, 0x0c4e4def, 0x48aa7c0b, 0x2daee2b9, 0x9a48f532,
+    0x0eb246e4, 0xeb7dc6c1, 0xdabbfffc, 0x92b12bb6, 0xa7fff6cf, 0x9871eab5, 0xe43ec502, 0x082640dc,
+    0x9973b84d, 0x0c0db33a, 0xac232268, 0x511c81d7, 0x4d7e725c, 0xe4502e6c, 0x70f51360, 0x32007967,
+    0xb71f28f3, 0xe02a1fca, 0xa83ae8a1, 0x5bcbf2ef, 0x6e1fa29d, 0x6499bdf3, 0x19a102b3, 0xa43e8821,
+    0x474614f9, 0xe1be077d, 0x604a6f7d, 0xfc2fbbc6, 0x7bad2c05, 0xa136e512, 0x66cbefe6, 0x34d91b4d,
+    0xadc93de5, 0xda00e60a, 0xb293c6bb, 0xfea8547b, 0xe8aedc12, 0x4a3539f4, 0x66a247fc, 0x0fc5172c,
+    0x89b9aa1d, 0x7dda56a1, 0x7a77c15e, 0x3a1ae992, 0xb22a4016, 0xbd56ad29, 0xebac2440, 0xec2c86d3,
+    0x7229b746, 0xef33bfad, 0x205a7bc1, 0xc8646c67, 0xbed444e4, 0xc9f3a743, 0x81b8f050, 0x62638eb0,
+    0x1b1637a4, 0x95fc5fbb, 0x3de42db6, 0xae112e7e, 0x96f3d70a, 0x5c227462, 0xb64025f4, 0x4622eced,
+    0xcebba208, 0x230d81a4, 0x9bfb4752, 0x5a5fcb01, 0x2ec335c6, 0xf5c52a7d, 0xce5cc538, 0xf3a5cf91,
+    0x238a7ac0, 0x0a21b766, 0x682bd990, 0x6e45296a, 0xe153506d, 0x472568ec, 0xb6c08294, 0x50a5f8eb,
+    0x4a5c6c20, 0x3d6c9de3, 0x7570d504, 0xcca9e22e, 0x6f994568, 0x89d46f30, 0x2516b623, 0x308bdf3f,
+    0x3374469c, 0xb2228cfc, 0x9d602be9, 0x6e08df5e, 0xb8000a0b, 0x044503db, 0xb21df1e9, 0xa8e26efb,
+    0xbae6bd6c, 0x28910d69, 0xace9e157, 0x423d7519, 0x249dfc8c, 0xd941696c, 0x7872cde1, 0x0a4b145c,
+    0x99597bbd, 0xaac653f8, 0xdd5f06a0, 0x21b0b868, 0xfca5ba5f, 0x805f4130, 0x95796bd6, 0x8d769036,
+    0x1da97ba7, 0x90bb7db2, 0xbb044d59, 0x056abd0e, 0xfb85035d, 0x9c0ea9e2, 0x6f29dc1b, 0x0479b3b2,
+    0x11dae382, 0x2dade2a0, 0xe22a8579, 0x7df1ee01, 0xd9fda1a8, 0xd780086c, 0x212e1795, 0x772199c7,
+    0x01d079a9, 0xf8a84c93, 0x2600c06e, 0xe5c6c364, 0x7db68e1a, 0x858aed4f, 0x09282241, 0x9837ccc1,
+    0xf2c2991d, 0xab3c94e2, 0x9187c084, 0x68bc7edf, 0x7a0728de, 0x345af99b, 0xa36bf196, 0xe6f9328b,
+    0x413300da, 0x66be894d, 0x4464bc69, 0x331b0211, 0x30f6ffc8, 0x7fc3a46d, 0x6b9b63e9, 0x2b83343e,
+    0x896098d8, 0x8785c9e5, 0xa18ad16b, 0x2f9afdfa, 0x0c75409d, 0xe0160dd8, 0xf3b44f95, 0x39e3df4b,
+    0x0becd86b, 0x7960cf69, 0x3c1fef01, 0x47da76b4, 0xa490f54d, 0x18607d4f, 0x14e34836, 0x386f8b8c,
+    0x015b3741, 0x7fc46a7d, 0xc8137830, 0xba7d22cb, 0xe225f25c, 0xb8ef57de, 0x2ed6e083, 0xba807331,
+    0x13704bf2, 0x28576b79, 0x5c60cf5e, 0xc036fe3b, 0x0606a1b0, 0xd74e5f1a, 0x30152c22, 0xd8f61fea,
+    0x034d9ca7, 0xab7cb799, 0x13b2e044, 0xc5df6c6b, 0xece4eb61, 0x13deaba4, 0xbeea1f02, 0x5d9cc573,
+    0xa4b5e658, 0x113fa30f, 0xb00d0879, 0xe3204fc8, 0x645b0460, 0x53129ae6, 0x7aa786e0, 0x198398dd,
+    0xf1f0d06d, 0x875c4065, 0x46826619, 0x3872dfea, 0x92fcbc68, 0x873f87e8, 0x2c7cd585, 0x7dc2da8d,
+    0xd408af2b, 0x04eed702, 0xbbab8b95, 0x4fb51be0, 0xcff5afe1, 0xb57e3bfc, 0x9e441ff5, 0x352245d0,
+    0x2fa00894, 0xbbef4791, 0x779186a4, 0x87c12aee, 0x08a1113f, 0x5388a1a9, 0x59497165, 0x93f2e0bc,
+    0x7f7d7c81, 0x37d22a84, 0xb143c841, 0x95c56721, 0xdcae8ae3, 0x8f2add1e, 0x80088b93, 0x6dcf7ac0,
+    0x080f8a51, 0x9bee59bd, 0x57c1148d, 0xfe25a766, 0x1ede550f, 0x024a5d59, 0x5cae88fc, 0xc979f969,
+    0x1007b673, 0x086090f4, 0x43d08cfc, 0x2d05222d, 0x42296015, 0x1991c06a, 0xdb97a287, 0xda3f66ff,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000096196304190416209014353125244491244\
+                          64130795720328478190417063819395928166869436184427311097384012607618805661696 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04,
+    0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30f, 0x4c5f335e, 0x042c455c, 0x18b83b68, 0x2a938a5d,
+    0x00000000,
+    0xb79b21b9, 0x50826c71, 0x86c65e15, 0x50b425ea, 0x575aa851, 0x38cbb9e2, 0xc67419cb, 0xe3b01498,
+    0x83f9bfb4, 0x5e2aaf3a, 0x1089b2d0, 0x87917088, 0x942df624, 0x46ca5263, 0xe961092e, 0x3f2d9de7,
+    0xb9be2b7e, 0x415fcec3, 0x63093427, 0x4158aef9, 0x7e00f5df, 0x579cf24b, 0x94cd35a1, 0x8579bc4f,
+    0xa75c69ce, 0xd51ea3c8, 0x862c52e6, 0xefc81cb2, 0x37fbfe6e, 0xc50de4f3, 0xb94c6e7c, 0x1b64d9a4,
+    0xd0575207, 0x2b1ef589, 0xc8a69250, 0x23641a90, 0x45c95f19, 0x2bf70658, 0x4691cfad, 0x7c44bdb6,
+    0x3605fc00, 0xfa115a28, 0x6bf7642f, 0x0d72668d, 0xb3a4423f, 0xf12a4435, 0xad62cf88, 0xc1423fd6,
+    0x0c8a1036, 0x6574fc54, 0x0f0f8524, 0xe4987ee2, 0x62b04077, 0x837e27ee, 0xe79bc22c, 0xc9de797a,
+    0x4ac96f9e, 0x4e411c98, 0x2d2a36e8, 0xfb6eed6b, 0xc166d344, 0x549f6b36, 0x1bf8feab, 0x4d053917,
+    0x07b33e62, 0xcf29c7e6, 0x3b70d812, 0xcb6b3474, 0x0501db53, 0xf5699b31, 0x1628ad20, 0xa7d0c66b,
+    0x71366f99, 0x10c30aa0, 0xad941238, 0x274f779e, 0x8eb7b5b6, 0xf960ea46, 0xd9337f17, 0xe255caf1,
+    0x8d20c020, 0x856931dd, 0xde5773e4, 0xd8362fda, 0x87a4464c, 0xc5d42387, 0x806ee350, 0x2ca8a162,
+    0x9929f489, 0x8a58e20c, 0xfc03279f, 0xbb1018ff, 0x53be4d20, 0x12db68ad, 0xca084b75, 0xcee5595b,
+    0xe38cf663, 0x8c70aa91, 0x8afeac96, 0x47b0deb3, 0x848263b3, 0xf941a368, 0x119e7bcf, 0x9863075e,
+    0x5533ac42, 0x22617188, 0xf57b4e99, 0x41bfb294, 0x6962c96f, 0xbfd4824e, 0x919f5d4f, 0xf7268bce,
+    0x09e1eee7, 0x5cc337b5, 0x34314583, 0x51732f52, 0x62c57162, 0x0589cf64, 0xc60a65be, 0xdcfff705,
+    0x0c3fa232, 0x5ea46166, 0x95554a8b, 0xa7dc0394, 0x75b7e30c, 0xabc5fbd8, 0xb36b0702, 0x1c16685a,
+    0xebcc11b1, 0xec423479, 0xc2788eeb, 0x66ebe944, 0xa2bcd9c5, 0x79872dab, 0xa3cdf64d, 0xb7dfc6f7,
+    0x0f00c28a, 0x3180ee11, 0x62decd31, 0x3dec0afe, 0x5501b007, 0x0d6d337c, 0xef2d5b51, 0xc24eee52,
+    0x5890dec8, 0x7a1ccffc, 0x42f864df, 0x5d7b0d53, 0x67d3fd9b, 0x2be9d756, 0x692c5195, 0x6bf35419,
+    0x810c81c1, 0x129a8b4a, 0x04ee23d4, 0x570526fb, 0x73811a8a, 0x1fac29c6, 0xddc9309a, 0xa30fbf4a,
+    0x8acd1ef4, 0xa2403853, 0x9166a3d4, 0xa9e3e8aa, 0x5e3a30ec, 0x3d5568bb, 0xbdddb5c6, 0xaac35582,
+    0x7afc9f5d, 0x45bba53e, 0x44787a8c, 0xf6fe4ac0, 0x3b12ef3a, 0xa2a87adf, 0x1548aac0, 0x5583a2f9,
+    0x91dac7e6, 0xea16f750, 0x7ff8dfbb, 0x25d3f271, 0xd825869f, 0x34272c70, 0x9da29a96, 0x8a476f8c,
+    0xaea37e5b, 0x932a49d9, 0x219cd65c, 0x0e19a75e, 0xa47cccc7, 0xf7a1ef3a, 0x113ae390, 0x8ecb51f9,
+    0xdb62dc3c, 0xe50de28b, 0x153c2f72, 0xcaf77fd3, 0x11775c96, 0xfeabeb80, 0xf2812530, 0x999d1bcc,
+    0xdca2eaed, 0x2c60c491, 0xf90a76de, 0x501ad751, 0x931cc7ca, 0x1058873d, 0xe79c40a0, 0xfee4a8ba,
+    0x149c06b4, 0xed085c07, 0x6074f480, 0x0645c25b, 0x5665ebed, 0x44c0d1fb, 0x59e62a05, 0x6f231a9f,
+    0xfd42418f, 0xd7eda945, 0x7edb2c26, 0x25121543, 0x40e79b50, 0xbeae53f6, 0x1b0c5ee6, 0x72dd6908,
+    0x8393f6f8, 0x8c71a13c, 0xf349ae09, 0xa5961e1e, 0xb63a0434, 0x9ce71756, 0x4aba3f7a, 0xa734b1c4,
+    0x18be1e01, 0xc3f56e90, 0xda7baef3, 0x5925ff98, 0xf5c1b622, 0x757a0707, 0xa157a93d, 0x9d926098,
+    0x6c00d34a, 0xdfd872b5, 0xe4fca011, 0xefdfe6d1, 0x0cf051a8, 0x23c6bb83, 0x4fa39f5d, 0x76247d1c,
+    0x8ebfed10, 0x1622f696, 0x44a5b23c, 0xd2bd68ce, 0x0e1581b6, 0x5a05ccc7, 0xb91de59b, 0xa6ff68de,
+    0x40d96a91, 0x24074eaf, 0xfeb75ebb, 0xd6c5d244, 0xfc586a9e, 0x46f1f324, 0xa2e209a2, 0xf4dd05a9,
+    0xf20581fb, 0x91355f64, 0x704f1741, 0x00758a3c, 0x065e50a2, 0x8439613a, 0x535496c0, 0xda0b4d2d,
+    0xdafb27b8, 0x55ff1d65, 0xb2d8a415, 0x2cf4d4f9, 0x41c2b0ce, 0x4b803b33, 0x2870cd39, 0xe98a5887,
+    0xb364be4d, 0x27e70c92, 0x05ca1863, 0xac905dfb, 0x7b4a6f27, 0xbffb596a, 0x21ccd454, 0xe1d4dfd6,
+    0x173220f8, 0x9cdc7d29, 0x73bf0256, 0x43ed8ddf, 0xbd536175, 0x9c3a84f7, 0x6f4285bd, 0x482ca983,
+    0x299e2405, 0x6d976bbb, 0xe0ea904e, 0xf8f109b6, 0x670426a2, 0xaa4ae692, 0xe83d0157, 0xbc0b8687,
+    0x03491dc1, 0x1dc1ab5f, 0x45469381, 0xfdad499c, 0xa59da073, 0x89755de3, 0x4b025152, 0x5eb59ecc,
+    0x1194e1d6, 0x141bb0e3, 0x1488371c, 0x7813c4eb, 0xfb53f3e3, 0xd6dd417b, 0x12d162c5, 0x9090a2a1,
+    0xe293f86e, 0x857685aa, 0x0fed2681, 0x4a1745ef, 0x4e8df3a2, 0xae64563e, 0xbbaef1f5, 0xd610a9d6,
+    0x71d42a7d, 0xba33713a, 0x9028c1fa, 0x29c02539, 0xe521d812, 0x359ed22b, 0xa861785e, 0xa6c08fa6,
+    0xd065ac98, 0x05f971d9, 0xe754c877, 0x1703f8b2, 0x58867fdf, 0x0d256329, 0xf0001dae, 0x4cb26371,
+    0x645508b6, 0xf023dbf7, 0x68c68272, 0x181ba7a3, 0x8a387ded, 0xcdf905b3, 0x4c1da688, 0x052208e4,
+    0x32799382, 0x4ad762de, 0x8004ede0, 0x12851e5d, 0xcedf726d, 0x036f1987, 0x1c67ab2a, 0x373ebfe6,
+    0x7c966c9f, 0x537f302e, 0xa197a661, 0x649ec30c, 0xd083cf1d, 0x7aedea11, 0x01f5eeb1, 0xa70adcce,
+    0x19d40b87, 0x2a91998c, 0x6333896f, 0xa8c6f00a, 0x1b10ac27, 0x4864f5a4, 0x001f39a7, 0x3b08f95c,
+    0xf648b631, 0xc125f424, 0xf50a7321, 0xa5af552b, 0x9193db16, 0x10eb5c38, 0x6f23936e, 0x8c7d7975,
+    0x4fef5f3e, 0x5613c22a, 0x64f3fee4, 0xf862c7cd, 0xa52b89a3, 0xc973e839, 0x1a4696e9, 0x557b1a7d,
+    0x733aa0f8, 0x09dccf77, 0x871f67d9, 0x440bc26c, 0xb483a4ab, 0x0729a1ff, 0x137c09eb, 0xf97ae020,
+    0xb36b4331, 0xe05adea3, 0x311158fe, 0x762cb53a, 0x14db93bd, 0xe14aedea, 0x509dd91e, 0x48894e15,
+    0x2ad86cbd, 0xb06ca6eb, 0x7b08f929, 0x793bdb2a, 0xcfa2e276, 0xb5b99cf4, 0x164e7c05, 0x0e1ef9df,
+    0xf4b20852, 0x28a5c922, 0x6d239564, 0xb5bd06ae, 0xad513bd0, 0xca577530, 0x1837aec7, 0xe41097d4,
+    0x774ba390, 0x332569d9, 0xc6eac738, 0x061af144, 0xba754665, 0xc19626ac, 0x246172cc, 0x1b154ec7,
+    0xe2510fcf, 0xdc01458e, 0x079ba31b, 0x87b14b4e, 0xd2e4ee42, 0x4e156251, 0x1e57e204, 0x7ec5b637,
+    0x6fff535c, 0x3370171a, 0x0b42bc04, 0xa6571eb7, 0x1b61db4a, 0x54a5b08c, 0x77b2550b, 0xb0c29398,
+    0x28de3aca, 0x97370567, 0xafd4a6f8, 0x43078ca8, 0x1228a76f, 0xaa18ffb8, 0x6eaa7fc7, 0x4b9a3989,
+    0x2c316a38, 0x795dd321, 0xea4d8a5a, 0xbfbdf80a, 0x0c0aa088, 0x23dff013, 0x845ce72d, 0xfd598416,
+    0x40aa3156, 0xdc41d873, 0x2bf4b9c8, 0x38c34f38, 0x7a52489d, 0x44faf7ee, 0x4b065585, 0xd279a2a4,
+    0x631ff0f6, 0x2ae641e6, 0x8f54d64c, 0x30b5b13d, 0xe51812a0, 0x6b750864, 0x1bb9d3b9, 0x55e19561,
+    0x19bdc609, 0xfff76b15, 0x7443054a, 0xad52ab2b, 0x2de0e2d6, 0xecbf3ee6, 0x48ac3fb0, 0x67471e59,
+    0x3054c3af, 0x5ffe31d4, 0xd0c377de, 0x7ba2367a, 0xa1adcab6, 0x38043181, 0x3e0375ca, 0xf3611905,
+    0xf626b75b, 0x7df32d79, 0xd34ef31c, 0x3e7fff51, 0x89efc615, 0x575101fc, 0x28a19938, 0xd7a9c1c8,
+    0x58cc337d, 0xf6bed86f, 0x702718ca, 0x5a55b3dd, 0x4b4747e7, 0x4d060553, 0xe430cd96, 0x13bf4bdb,
+    0xdc0a92ee, 0x90d86208, 0x201b5dcc, 0x4149f789, 0xcfa12bd0, 0xaf0c649f, 0x7294ad62, 0x1b388ea4,
+    0x0ccfbdc9, 0x1d7733c5, 0x54134b27, 0xc6b0e83a, 0xb6aa697b, 0x23fd5d40, 0xddda1a3c, 0x06239474,
+    0x90977e52, 0xeff08d43, 0x65936ad6, 0x5c8f5aeb, 0xeef8c810, 0x6c21a2ba, 0x1c6c025a, 0x610eef53,
+    0xd7cb41e8, 0x6e379557, 0xa4441dcb, 0x6beaa6ef, 0x1962048e, 0xd93d4ae3, 0xfb49fe8f, 0x97a01f6d,
+    0x6ad1c8d0, 0xfcae4276, 0xa0f3b258, 0x715e5908, 0xfa5b1a5c, 0x85eea779, 0xd6db3675, 0xc03ae935,
+    0x3b406f54, 0xdc018f17, 0xd812de70, 0x9aeb10c2, 0x9369c913, 0x1919a03b, 0x91ea3447, 0x3dd268b5,
+    0x3436a1fc, 0x0813996f, 0x7b33e951, 0xabc273c7, 0x1433b124, 0x62fa664d, 0x37f038d0, 0x28658d6d,
+    0xc7217f42, 0x65f2d51c, 0x67434d90, 0x0e2253dd, 0x50516e34, 0x0f1de024, 0x094268d7, 0xd7f36187,
+    0x8963b278, 0x79e2adbf, 0xded2e180, 0xfe39bffd, 0xff7c0dd0, 0x162d9017, 0x37603d3e, 0x4e528937,
+    0x8785a4f1, 0x9d3469ba, 0x8cb4c2d0, 0x5721147f, 0x6a36ef5f, 0xf6107de0, 0xf17bc175, 0x7572e38d,
+    0xa5082a9f, 0x7749dc59, 0x0fbdcf21, 0xcce68f2c, 0xeecb52ef, 0x753d0f73, 0xca2828a3, 0x53090fb2,
+    0xb7a32f50, 0x813360df, 0xa538ac07, 0xaf0ff9b1, 0x5fba2b16, 0x9e310e75, 0x62dcee80, 0x12cca00d,
+    0xf9a4f259, 0xda7f7c24, 0xcdca542e, 0xe0e25d28, 0xf04afec2, 0x62acaee8, 0x269082e8, 0xbebb89a1,
+    0x2f9c730c, 0x4554a111, 0xe7a19ff0, 0xd3a87fb2, 0xbf6a8220, 0x82dd2920, 0x2a3c034e, 0xb7080b30,
+    0xc6372df6, 0x86b6599f, 0x4b025bb0, 0xd217186e, 0xc92accfc, 0xdf5f2053, 0xe5f945b0, 0x8cb663f0,
+    0x99c9dac0, 0x9b123247, 0x69536e73, 0x1dc474bb, 0xd2af6b34, 0x7a98501b, 0x2b208c66, 0x334ec884,
+    0xf721701c, 0x0074434b, 0x480fcbb4, 0xa3319f00, 0xec464f79, 0x55055627, 0x419ec515, 0x5d3f0bd6,
+    0xc9d00610, 0x5916a77a, 0x040b0215, 0xd241ad4d, 0x5ce435d8, 0xe2576b79, 0x6c36c67f, 0xc424a22b,
+    0x82099b1c, 0x21e22296, 0x1a75d5c6, 0x83cdc1da, 0x1222b473, 0x26f3e742, 0xf8f70639, 0x3e0a5ce9,
+    0xb3fadb43, 0x00690ab4, 0x9cc2a190, 0x8399e81d, 0xc3f32601, 0xd68d1076, 0xdea3fdc6, 0x45310af8,
+    0xc0078f94, 0x6f54cb03, 0x14186628, 0xa0494b77, 0x5298e276, 0x96e5523b, 0x866b1a23, 0x5b762952,
+    0x013892b5, 0xd6ec963f, 0xf036e13e, 0x4ece8796, 0xa5082666, 0x34c013aa, 0x34fef3f7, 0x7dd480fd,
+    0x901cb579, 0xe38ed995, 0x8fda51cc, 0x6269e6b9, 0xb1a1cd7d, 0xe9cb4e41, 0xe0231dfc, 0x88b9b3ce,
+    0xfaa75b79, 0x78a9c96e, 0x2a0b12be, 0x824b88e6, 0x0a022a0a, 0x310e9bbc, 0xfbc1e55d, 0x8b14c7db,
+    0xe8c2f44b, 0x1caff309, 0x9c2ae8a3, 0x3b028b60, 0xb835a758, 0x0c865a3e, 0x320062b4, 0xc6d2f3e1,
+    0x85df543a, 0xde7f1bfc, 0x69082d84, 0xac6a208e, 0xc70c0f71, 0x0b575e60, 0xfb2c178f, 0x30115d96,
+    0x8c0449cd, 0x6581e4a4, 0xbe88a10c, 0x4c129039, 0xbfe281df, 0xdc685367, 0xa051daec, 0x532033e9,
+    0x4a9ee6cb, 0xa1c9ced9, 0xd442dbe7, 0x3146a8bc, 0x1fcf7660, 0x9dc60c7a, 0x11251df5, 0x82322d4d,
+    0x88563c7c, 0xf2f7a734, 0x94e5fbeb, 0x3baa948c, 0xb39f6970, 0xe5ea002e, 0xc914cfcf, 0x4a20ae7e,
+    0x8f246937, 0x145ac2c9, 0x0be2bf4e, 0xc4efbf01, 0x87d6eaed, 0x914e606f, 0xde1174e9, 0xf7216b07,
+    0xff770c46, 0x831d69db, 0x9c299f35, 0xc145810a, 0x4517b559, 0x7b556a4c, 0xd94f0fb0, 0xe3b76cca,
+    0xd246d92d, 0xfa30b1c8, 0xae9d298b, 0x48f56e43, 0x45afec9f, 0x457688ba, 0x1f5d815e, 0x6d480c0f,
+    0xf660071a, 0xea21212a, 0x607af8dd, 0xd586e237, 0xb937aef2, 0xd52dc3fe, 0x2efb262b, 0x65995034,
+    0xf9b77ebf, 0xe1a1ba6a, 0x3e77a52d, 0x43010557, 0x2f82f6ff, 0xc8ed23c1, 0x452304b7, 0x1de7c70d,
+    0xbdf7475f, 0x764f1dc5, 0x8fb53157, 0x72f34dac, 0xd37e7dd5, 0xf47e93da, 0x8808c5e0, 0x8829142e,
+    0xf559ef85, 0x4e33faef, 0xc761767d, 0xd410fa90, 0xccacc93a, 0x9ae27320, 0xfbafe36a, 0x64e4cfc7,
+    0x0c7ff9ac, 0xfeb5e26f, 0xc4cd924e, 0xc1a50dc2, 0xae4a6a7a, 0xfc791b03, 0x05ec0ee9, 0xe9a91ab7,
+    0xd5ead9f4, 0x121d7ebc, 0xb2194348, 0x334b1424, 0x42815fa7, 0x89ac4661, 0x039c71a4, 0x64ae9e23,
+    0xc3fcde7c, 0x4961a491, 0x1edce9e3, 0x183e6ade, 0xe3abbf84, 0x858582ca, 0xf8c2febf, 0x4d14bd2f,
+    0xc5afa334, 0x394386d9, 0x23b0431a, 0x0f8ace74, 0x46e30489, 0x9fab048a, 0x06d3fd3d, 0x5e10ac99,
+    0x6523875e, 0xd094aac6, 0x6975882f, 0x7109774a, 0xae31a82b, 0x6b1cb9ad, 0x446d4c33, 0x4713e216,
+    0xd415c04b, 0x3c9828e9, 0x13021609, 0xca314b42, 0x6dbc78fc, 0x469c3e5e, 0x8ce5b7dc, 0xd7d03167,
+    0xb560489b, 0x4a5333f2, 0x7084df03, 0xde85f61a, 0xa943048a, 0x104fda00, 0xad621dbd, 0x2c5be738,
+    0xe88330da, 0xfea19d62, 0xa6a051dc, 0xa2c878ee, 0x5a7df203, 0x3660648e, 0x23f926a8, 0x53ed8f89,
+    0xc4b557e0, 0x7d9d9b39, 0x64323bce, 0x4cb0a3c7, 0x09bafe82, 0x9b5cca42, 0xf0b73d9e, 0xbc81e143,
+    0xb8e54074, 0x7cb72c84, 0xfd97f960, 0x2ac0d8ca, 0xf94d3b09, 0x919c164b, 0x76718373, 0x62052d23,
+    0xe4fe099b, 0xc54f804a, 0xc7ba4113, 0xc43232b9, 0xc72519b3, 0xfed73755, 0x01aa83fb, 0xc384a0a0,
+    0xb608ca2e, 0x2cb35b98, 0xd4fd8383, 0xfef05eea, 0xa3582289, 0x80d364a5, 0x3e68f6c9, 0x9578bc0b,
+    0x30d51e7b, 0x8899976b, 0x96739146, 0x994978f3, 0x1f4793cc, 0x9e828300, 0x95375c65, 0x09c256bd,
+    0xbfd240c0, 0x55ab5acd, 0x949faf9c, 0x6460042a, 0x7b801ec7, 0xff2ad3d3, 0x28b37704, 0x5aa7bab0,
+    0x9b684911, 0x36452177, 0x2dd8259d, 0xbbd74cb1, 0x7702ca04, 0xf2bf70c9, 0x6eb94b3c, 0x04ddd082,
+    0xa3a67f00, 0xb5897b6a, 0x82286112, 0x1ea2af23, 0x0938ce2b, 0x5daf9bbf, 0x1a2f7dd4, 0xadb89f39,
+    0xde3ffa5d, 0x2f7c2137, 0x034446ac, 0x17a277b8, 0x90e62e36, 0x980818a5, 0x9ed7a6e3, 0x918a2267,
+    0x542c47c2, 0xf735b216, 0xf99e0f2c, 0x02e55dc9, 0x7b7ef382, 0xd74454cf, 0x75b7709d, 0x9bc77b51,
+    0x9ce2cc48, 0xe23412b2, 0x60b3e252, 0x401f89fd, 0x7f919d7a, 0x7a7e91a9, 0xd69b6b13, 0xe89bd316,
+    0x063aa921, 0xe0caccd5, 0xa509c919, 0xad48e1c0, 0x145359de, 0xcc0060f1, 0xac8fc6f8, 0x86c886f4,
+    0x21a33145, 0x6899ec24, 0xff96b7f6, 0x996c8a0f, 0xfb0e94de, 0x38b671d8, 0xca52c448, 0xaba0a9bc,
+    0x92aff62e, 0x0ce9e4d2, 0xf4bce510, 0x7980ee03, 0xa1f907e4, 0xfbecc002, 0xb42e6145, 0x840e5d21,
+    0x9d839d71, 0xb836b7a8, 0xe4989d9d, 0x45ca4643, 0x274c1ae6, 0x70a0e3dc, 0xd2c14151, 0x760217c6,
+    0xcfdb5001, 0xde1131f0, 0x15023901, 0x8f120779, 0x8f223f21, 0x8caff0fa, 0xd9844bc2, 0x65dd860e,
+    0xf232e560, 0xaad60cf8, 0x2a4e8bb3, 0xf3e54ecf, 0x23f5faba, 0xb4ebcfa0, 0x31cea0df, 0x567a6f86,
+    0x8d8957d7, 0x7c902d61, 0x0dfbe0d5, 0xfbb791af, 0xffe88013, 0x554086cf, 0x55ebd4d3, 0x2493a435,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000048098152095208104507176562622245622\
+                          32065397860164239095208531909697964083434718092213655548692006303809402830848 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502,
+    0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d187, 0xa62f99af, 0x021622ae, 0x0c5c1db4, 0x1549c52e,
+    0x00000000,
+    0x994d5d44, 0x1d884528, 0x885459f1, 0x0729da09, 0x6cec246f, 0x9dd0a1fb, 0x655e9c0c, 0x5c8c773a,
+    0x3fe9f1e5, 0xbbcd2484, 0x8d7a5ecf, 0x08bcc027, 0x0baf7c96, 0x4ffe2e54, 0xaa502afd, 0xed7f9665,
+    0x19fa8dee, 0xbc8fbaf2, 0x40d1f330, 0x10dcc3c2, 0x76d7a34f, 0xe1f1bd34, 0x2ee70849, 0x248258a0,
+    0xdc9a9661, 0x552ccc16, 0xb4cc2191, 0x1bcc70c7, 0x33aa4b21, 0x87743f14, 0x3050df9e, 0x74e4d3ee,
+    0xe36d0a79, 0x28b312b8, 0xeba741f1, 0xc8f4ded6, 0x68ac0315, 0xd1c8ad4f, 0xb86238a5, 0x15d03acb,
+    0x0b9da216, 0x454167b3, 0x3ecb8abc, 0xc52790ee, 0xa5a46908, 0x190d6b4c, 0x79139769, 0x85d5abf6,
+    0x84e6a286, 0x10f4cce5, 0x2764f6eb, 0xbe50f218, 0x54c0fd5e, 0xe0915600, 0x23182470, 0x385b838b,
+    0xfac5dbaa, 0x4c6c42c0, 0x470528b5, 0xd5ba2791, 0xf9ef2adc, 0xc4d47a38, 0x1436d73a, 0xea45d3f0,
+    0xa3e2e841, 0xa6ee6d9e, 0x8aa8ba57, 0x6d8b4a5d, 0x2b57f246, 0x7457859c, 0x8852b77e, 0x11da752a,
+    0xb5b7b6fb, 0xcf0ad318, 0xcd6c33ac, 0x2fb95e48, 0x7c0cc8c9, 0x2dea8582, 0xd6a9919a, 0xf9d60f3a,
+    0x277e486a, 0x98458bc1, 0x8b9cc41f, 0xb572553f, 0x8194db2b, 0xac058d27, 0x630fab2f, 0xdfca65ff,
+    0x2593f05a, 0x8ffbcc24, 0xc11c35bf, 0x4500a9d2, 0x9d7b03c3, 0xec2acde0, 0x960ec607, 0xa714eaa6,
+    0x5d9985b9, 0x7dddacab, 0x1abb96e1, 0xd9e0ed29, 0x1335f2a2, 0x60d38282, 0x57496cff, 0x39873b94,
+    0x0b6cfb82, 0x20558656, 0x7426ff01, 0xed7ab1da, 0xf9ba5308, 0x1fd3458e, 0xf4881e19, 0x3d853655,
+    0x19297dd4, 0xdd441a4f, 0xc437a1c7, 0x3762339e, 0xe3f63681, 0xe84db0e1, 0xf08ff48e, 0x93ae969a,
+    0xf49dfe8e, 0xa4a20cf8, 0xbbeb0be3, 0x1748e878, 0x3ca8258a, 0x358f7138, 0xffd7bd75, 0x8be1deec,
+    0xe2a85eaf, 0xbcd7b2e0, 0x1ca68fa4, 0x989e6108, 0xb71f30c5, 0x2d571e7e, 0xa1a19c8f, 0x65221f78,
+    0x2b1cf49e, 0x5c306518, 0x4906d1d0, 0xae2890d8, 0xf6937b23, 0x0546467f, 0xc1276bc8, 0xd2b3f75b,
+    0xc15b6706, 0x1cce18e9, 0xec082681, 0xbb3bfac6, 0x69ec0b6c, 0xef4bf539, 0x6ba5a268, 0x79b0aa60,
+    0x0213ccb9, 0x7b64b2b7, 0xd2fdae26, 0x36374de2, 0x67457198, 0x31e17307, 0xa40b3925, 0x9653d670,
+    0x2a3ee7db, 0x2f5309f7, 0x9fef809d, 0xc01315db, 0x554591e0, 0x4941a081, 0xc1080d6b, 0x1616228f,
+    0x0b97b037, 0x863dc37a, 0x4bd72aff, 0x105f24ac, 0xd96a71f8, 0xb79cf691, 0xdfed7239, 0xd13e653f,
+    0xfac75602, 0x7e04036e, 0x6661fed5, 0x51ba20d6, 0x252fd40f, 0x8fe6b52f, 0x1687e3be, 0xf803147d,
+    0x642937b9, 0x54de83ce, 0xa9aab73f, 0x7b52a5e8, 0x831a3494, 0x14e02c67, 0xf3aaa436, 0x376daf54,
+    0x281cedce, 0x6f2c76c0, 0xaf764797, 0xa631ad2e, 0x063145b7, 0x6e7000ea, 0x4c9ebb18, 0x6284e16b,
+    0x32a9b256, 0x64fae267, 0x3322103c, 0x333c0b64, 0x97fa8f0b, 0xa5cef8cc, 0xe23381b3, 0x17aa8940,
+    0xea47b2a2, 0x7fea508c, 0x4ee36e9e, 0x39e15f33, 0xe106e0b8, 0x329fd7de, 0x7cdbdaf7, 0xd9c8b064,
+    0x756af830, 0x27c2dade, 0x2827f998, 0xc5f4773c, 0xef786389, 0x46846b84, 0xfe679d50, 0xe8fa6a6b,
+    0x2cd1ef4d, 0x06b27017, 0xe62afcbc, 0xf09c0274, 0x11696d1a, 0x3e47496e, 0x0e17d5f3, 0xa44ed0d8,
+    0x7b2e2c3d, 0xc33a3b7a, 0xb1140ea8, 0xf66513a4, 0x7a1fca33, 0x56835211, 0x1ba748bc, 0x6950ed13,
+    0x47f7c548, 0x09f373ca, 0xb63a32ac, 0xe83fadca, 0x43f7b505, 0x02e3e508, 0x129a57c7, 0x39365783,
+    0x513abb27, 0xf22b0900, 0xdf5061bd, 0xe9a2893a, 0xfcb431b9, 0x7a5938f7, 0x97fb4c03, 0x97e1fda9,
+    0x423b7e77, 0x685c4425, 0x5e56f696, 0x98349f95, 0x0ecf3733, 0x3f8fa9c2, 0x178f0470, 0x152006f0,
+    0x5553c553, 0xeda69c8a, 0x235a32ab, 0x1f7b3d7a, 0xae956a84, 0xd2082fdc, 0x1bb729d6, 0x913e07e0,
+    0x1b0f29aa, 0x1d6c202c, 0xe5b9ad7b, 0x9eba811a, 0x130adbde, 0xae313fee, 0x59038c40, 0x2c515bb5,
+    0xde71315d, 0x68dae24a, 0x8f3a9b69, 0x62b962d2, 0xcbcb6e2e, 0xe5d981f4, 0x9b9ce4eb, 0xfcd7c5db,
+    0x5f52b564, 0xa6e446b2, 0xb542ffd9, 0x96378123, 0xb596e8f6, 0x5edf962c, 0xe431dd3b, 0x220bdd9d,
+    0x58a124cc, 0x8df87517, 0xf59e5c29, 0x40f0aab3, 0x52fe5ccc, 0xb511c663, 0x8778ff6c, 0x661e6d6a,
+    0xb9b1d1d7, 0xbe172826, 0xd491c2e3, 0x8f40b036, 0x61169d6e, 0x42a914a9, 0xe3d9aa12, 0xc751ad79,
+    0xb77e849a, 0x1eb6a6fd, 0xb0c2be92, 0x4ccb32ff, 0x93c52381, 0x74ce67ce, 0x97869470, 0x8a554fac,
+    0x377e49c6, 0xa0597d30, 0x693ffbc9, 0x5630cc71, 0x08ada92e, 0x04c99576, 0x2e6fa0ad, 0x8397ba6e,
+    0x357f8bc1, 0x567032ac, 0x7a123129, 0xd4757b04, 0x0dbb5f64, 0x119472e3, 0xb14efae2, 0x6042a03d,
+    0x781d0c4d, 0xf85d1bf4, 0x75d9a7de, 0xa536938e, 0xdf444c51, 0x5e667b54, 0x09a13b65, 0x106fb868,
+    0x3bbd7519, 0xbc49107b, 0xa3044cad, 0x3316460f, 0x36f25435, 0x268aded3, 0xfed71765, 0xd64f406d,
+    0x2cca90f7, 0x7bd86a75, 0xfa87411e, 0x7542130c, 0x6c99d965, 0x6d6e0d67, 0xba88d6b6, 0x4596040a,
+    0x25607fcf, 0x9be1e550, 0x12b408f9, 0x8afa4dd4, 0x2c5a8676, 0xb1f8d3a3, 0x87ae879e, 0x96b4148f,
+    0x2c6ae711, 0x09d3bc14, 0xb7e306d7, 0xcf7c81ec, 0xe9d4cf01, 0x6ea08e2c, 0x924baccb, 0x4ebf624b,
+    0xe6b889a3, 0xae4e7a6a, 0x8fdb4f9d, 0xacd64e9a, 0x508b3863, 0x85c2d079, 0x7c43ae18, 0x8e647f69,
+    0x000bcdbe, 0xbabed1c8, 0x6467fcf7, 0xcc90f11e, 0x0ca5680e, 0xf5f4f150, 0xe844c4d9, 0xbcd2f438,
+    0x2d818b43, 0xe9b8b1a9, 0x6580c1a5, 0xc6d945c0, 0x765dbeb9, 0x8492c0ee, 0x90ba3f90, 0xfa15fbeb,
+    0xa8ec5f5d, 0xc3d030b0, 0x6dcfd31f, 0x848b2096, 0x47d76d81, 0xd7c82444, 0xfd997d7a, 0xaa9ef4a2,
+    0xe5990cc0, 0xb9ff2e56, 0x163acd66, 0xac2ab028, 0x12c47612, 0xec287b01, 0xc45becd0, 0xb4ef217a,
+    0x04822ae6, 0x9b4e3064, 0xdfac68d8, 0xd4782330, 0x349a89e8, 0xfe8af3fa, 0x7378abfc, 0x9aa44205,
+    0x1c94038a, 0x8cd6f7ed, 0x143f3760, 0xe0b7b6d6, 0x6e9a0d7d, 0x31322e92, 0x88a23eca, 0x9df848e3,
+    0xc6d5ba2f, 0x5413731f, 0xc1664e1f, 0x9b911d4e, 0x4b9eeb2d, 0x47e53207, 0x7ba9f6db, 0x7470b440,
+    0x26806ec2, 0x962e3b9e, 0x83828ab9, 0x8703d1b2, 0xc28cb462, 0x197eec0f, 0xa3f6d93f, 0x2a2eb19b,
+    0x0ae4e7e3, 0x03cb8860, 0x0107e5f6, 0x19285a46, 0x54db5afa, 0xed2df023, 0x68f3701a, 0x8b1fb6a0,
+    0xe5a5a8a9, 0x3c6059e4, 0x4b61b250, 0xd372a1da, 0xb561ca58, 0xebb0e552, 0x52071b58, 0xcafd9bc0,
+    0x252c2f83, 0xa5833d09, 0x6476351f, 0xa54c852a, 0xf2598d60, 0x258afa7c, 0x6ae2290e, 0x807425cd,
+    0x273ffc13, 0x900f9732, 0x70990304, 0x292bff11, 0x5b7cbdd9, 0x26139950, 0xdcbe4632, 0x50d1a17d,
+    0x3fd22824, 0x3527ddd7, 0x91af2da3, 0xd0c42c28, 0x1ef91fc4, 0x6e311d1f, 0xd32bad46, 0x9cf77c6d,
+    0xc5620b72, 0x40b7842a, 0x3f530124, 0xef466e5a, 0x1121bf43, 0x7fffd4eb, 0x7ddab9b5, 0x4d503477,
+    0xe0ee9044, 0x29c5511d, 0x79045803, 0x409ca4f7, 0x7ee4d619, 0x42f9077b, 0xdfd63cd1, 0x4d6c1b34,
+    0x3963b6c8, 0x95cd2b54, 0x8b1a2384, 0x50363b7e, 0x74b890f6, 0xf84a133c, 0xf8b0bae2, 0xcb3683fd,
+    0xce21d42d, 0x07be4529, 0xed5281c6, 0x9ac48cc9, 0xe737f53a, 0x51beb9ae, 0xeb1af79b, 0x28ab5dab,
+    0x90bbc23d, 0x7c7826ab, 0xa0944570, 0xa7d73c64, 0x9d1b50a3, 0x731322a2, 0x81a57f6e, 0xa88c44fe,
+    0xa1cd936a, 0x16fa714e, 0x606f97a4, 0xfef15fc9, 0xe678ff92, 0xad86e84b, 0x2232b989, 0x5c60b09e,
+    0x6308da85, 0xfe0ac319, 0xfe771d80, 0x6ef5bf75, 0x7afc0b3c, 0x13bbf17e, 0x6d9203ac, 0x2ceb44fc,
+    0x590c98f5, 0x8224f78c, 0xb9792a9a, 0xa99aaf92, 0xb6336290, 0xb661a7fa, 0xab053257, 0x9efc607f,
+    0x2426d388, 0xeff6e7fe, 0xdd14be3d, 0xd7478319, 0x45aacc78, 0x0ebb8603, 0xee895788, 0x045a6199,
+    0x058d31cd, 0x410a9f07, 0x23363ca9, 0xe24bf822, 0x204d83bd, 0x47be91b3, 0xf517eb9d, 0xcf5365b4,
+    0xfc2ad696, 0x0c63df7a, 0xad97608f, 0x34ccd856, 0xb98be750, 0xb3869131, 0xda17f535, 0x6aee5cbf,
+    0x3adfd892, 0x5b771692, 0x7c464707, 0xc8671450, 0xf6829503, 0x2e7c5e42, 0x5623af95, 0x38c64f1e,
+    0xaa4bf94b, 0x29350b59, 0x139fcfac, 0x314acf50, 0xbc307414, 0x7aebc358, 0x67d84718, 0x8afee587,
+    0xc350c4a5, 0xdcb06fae, 0x6edef9b5, 0x86f166e2, 0xc4b221bf, 0xc0e0b92e, 0xfe02c1c3, 0x4f7e9a35,
+    0x8edafe57, 0xf77114f1, 0x46b3dab0, 0x6c133cff, 0xaf35745f, 0xd8f61652, 0x69fee6c7, 0xf1928838,
+    0x2ec3d6f7, 0x2f2e8077, 0xb062588e, 0x1a7bed0c, 0x1240e119, 0xaaf003d5, 0x000372ff, 0xc1318983,
+    0x67c2a36d, 0x37b5bf25, 0x4ff7c9f7, 0x774b92c4, 0x72cb6049, 0xc29a73e5, 0x563ba8aa, 0x055b0174,
+    0x3633b1d8, 0x9f052b09, 0xaf0aaf31, 0x11086df0, 0x1ad35a68, 0xc4cf480d, 0x423fcef9, 0x90dfc1fc,
+    0xc0e190fc, 0x53d52fdf, 0xe6f6f820, 0x21047dd6, 0x49cb3a8a, 0xacee0b41, 0xa435f3c1, 0x6c86ceb1,
+    0x0dda4f26, 0xb4f0eca7, 0x12a5edf2, 0x9ab3c94e, 0x628f0d64, 0x3e32b3e7, 0xe52cc1e1, 0x135e37b5,
+    0x6a4b941a, 0x3f090401, 0xf2dbd7a6, 0x4cc41b1c, 0x79e25b7e, 0xa48f2315, 0xc3e37d10, 0xdb6800f4,
+    0x88838361, 0x5a54e878, 0xb0a9d48a, 0x4bf2dcf4, 0x870fc312, 0x1f9c1c4f, 0xacff7870, 0x4d5d96fe,
+    0x30eb32e4, 0x338f4c64, 0xf6f774fb, 0x86bcbb7e, 0x0dc94cb2, 0xec6b611e, 0xc60ac040, 0x15e75ec6,
+    0xb697ffc4, 0x637899a3, 0xd1efa55c, 0xe439a810, 0x80fb5c23, 0x226423a3, 0x3071a034, 0xd585460d,
+    0x3c04b6b6, 0x790ac8ce, 0xd8df40ed, 0x175919d6, 0x0f3dc0ea, 0xeaf1d8ee, 0x68a2a859, 0x3784551a,
+    0xceac20de, 0x196bf833, 0x149c0d66, 0x8e5d625b, 0x7ba6346c, 0xed84e5ae, 0x6635d242, 0xb566e52d,
+    0xb2b42540, 0x43f9edaa, 0x68cab008, 0x60e5aafe, 0x75422e7b, 0xc62ad364, 0x1749e9e6, 0x64cc9157,
+    0x4814c3df, 0x27782c24, 0x5b1aab1d, 0x9d64dbfe, 0x1a24279d, 0xaf34e419, 0x1eed2803, 0xcda3f468,
+    0x36f8d7f3, 0x4def6b58, 0xd30a05ae, 0x5eb2def0, 0x104da3e3, 0x62790359, 0x1d73082d, 0x1de79a8b,
+    0x80d08c64, 0xfaf64f85, 0xe0457f9e, 0x11dc4554, 0x18677fb8, 0x23cd22fb, 0x474b7c6e, 0x83f5a652,
+    0x4e2ac384, 0x2cd4b118, 0x7bac19e5, 0xb7067e4c, 0xe3585c5c, 0x576883fe, 0x75364eb2, 0x9ec2239a,
+    0xec3b45d3, 0x61f2aa57, 0x799d215b, 0x3ad5814d, 0x9a8cd152, 0x6e9db135, 0x78c2309e, 0x5e35d3c2,
+    0xcc0c91b4, 0x87ae3338, 0x45bc9c55, 0x1dd136e3, 0x1134a952, 0xb13a0d45, 0x58e73270, 0x900d2418,
+    0xe6257950, 0x933459c5, 0xc8733436, 0x04d2ecfb, 0xa8471c7a, 0x5ab1e0fd, 0x45ad077f, 0x02e05050,
+    0x40552b8e, 0x3ddc9258, 0x26dc89a8, 0x78acade0, 0x66bfedc3, 0x31b58515, 0x595c2beb, 0x106860fe,
+    0x6e786527, 0x7b747560, 0x8fd20511, 0x541aa85f, 0xdf7af609, 0xb03fd531, 0xbd9f433e, 0x3c36a23d,
+    0xede197b1, 0x20b6d627, 0x96932fcc, 0x29e3ee65, 0x8c7e8c6c, 0x1ff80f95, 0x1e90bdff, 0xfd28d1bc,
+    0x93921b13, 0xeaa15515, 0x0e254c44, 0x02116ebd, 0x6080df0a, 0x9c887962, 0x977aeefd, 0xa327f05b,
+    0xb2cb791e, 0x3f4ea83e, 0x43f7c2d3, 0x677507d6, 0xbf3c7e24, 0xe2d2c255, 0x363bb829, 0x04dc89ab,
+    0xd26d7a20, 0x1aaa0f17, 0x4b096131, 0x5c5c55f1, 0x404855e4, 0x8c232c6c, 0xb46ff156, 0x32e02004,
+    0x4a1012c9, 0xc312cfc3, 0x59f061ae, 0xbf2e9236, 0x9e2300f9, 0x3b3b5efd, 0xb7072361, 0xf3db9457,
+    0xe17bd7af, 0xa730af1c, 0xee33dca9, 0x566542f0, 0x1659c41a, 0x69b28f4e, 0xd211d30a, 0x84e493a8,
+    0x9f7bd875, 0x8a6c10cd, 0x80a2559f, 0x810fd710, 0x31ac753a, 0x3c901020, 0xa7b8ce8f, 0xa772ceff,
+    0xbb30f3e4, 0x1bcbb6cc, 0x2df8b643, 0x8f502ba4, 0x7997abe1, 0x101985d6, 0xb9e6ad37, 0xb68eab95,
+    0x852e0392, 0xf15fb02d, 0x3a2fb3e7, 0x757ad768, 0xc29db0ec, 0xdf6904d0, 0x19051474, 0x7669fcd1,
+    0x001bf5e2, 0x8aab6c74, 0x2725b89d, 0xa94fd4e8, 0x1c0fa768, 0x25c6665e, 0x683abcaf, 0x9b0c9c0f,
+    0xd94f745d, 0xad7ed81e, 0x37d85f61, 0xe2dd9957, 0xc2452147, 0x5d5aefb9, 0x148f5a9b, 0x09868cfb,
+    0xbf792abd, 0xbbab1ebb, 0x3f72d6d7, 0x7dec24ab, 0x031a8507, 0x5aeb6404, 0x5fba4969, 0xb3404f0a,
+    0x9ca48331, 0xe64cb3d2, 0xcb9a957a, 0xb4d627b7, 0x2bd3665e, 0x81db7ee5, 0x5dc9a549, 0x5e9fcad4,
+    0xa744cdb1, 0x27c471f7, 0xe0b7473d, 0x88f4ec2d, 0x272a5125, 0xfe822f15, 0x092b17a0, 0x6362a826,
+    0x0603b34a, 0xa8f2a5bf, 0xaf41233d, 0x79990096, 0x3ab35872, 0x52155623, 0x32dc92db, 0xca1c1859,
+    0x729e2d9e, 0xa2781dda, 0x8ab9d50c, 0x42043bbe, 0xe6044f99, 0xbf52f7c0, 0xd05773c2, 0xd72dd95a,
+    0x09ac547c, 0xfb342b50, 0xd22bf1cc, 0x3c141dd5, 0xb1f627bd, 0x08391cd3, 0x0770f9ae, 0x50308280,
+    0xde1bb71d, 0x45df9c80, 0xf8926624, 0xb73221bc, 0x6b4da122, 0x0d4da1cc, 0x9781f6aa, 0x71ed9490,
+    0xc33318ac, 0x105c5169, 0xd80d78aa, 0xa75ad829, 0x773d501d, 0x9db3f8a8, 0x2f225e76, 0xce94a367,
+    0x9535eaa9, 0x5d1cb11a, 0x2439e9b9, 0xfe447cf0, 0x170481e6, 0x75d355a2, 0xa5567c78, 0x9bf99d5c,
+    0xea5b8284, 0x4e974da3, 0xfcfbbe40, 0x2c295f7c, 0x762d83e1, 0xb5f5beb1, 0xcebf21bd, 0x2a38dc5a,
+    0xc8e1c840, 0xb6de5533, 0x8f1b338d, 0xe832069a, 0x3a41c70d, 0x688f0dd9, 0x05db4dd5, 0xdb3678a6,
+    0x5ebc7cb0, 0x02b91dec, 0x897b47d3, 0x5d77d5c1, 0x3b0f2f5c, 0x514b4276, 0xb2753d15, 0x186ae3e1,
+    0x5ba0da76, 0x33aeedd9, 0x5708db80, 0x482e8014, 0x04819289, 0x95e5c170, 0x93221d4b, 0x93162002,
+    0x6b776aa0, 0xc895810a, 0x202ff5ec, 0x8e8524dc, 0xcea7b374, 0xcad18419, 0x4af9b1ec, 0x697eb7b0,
+    0x56705d55, 0xd3d1e36d, 0x3cd53fb7, 0x2fe13748, 0x43c45b16, 0x8ba94033, 0xd0797eb5, 0xe1ac5456,
+    0xa53fcfdb, 0x5cc69153, 0xeaa0585e, 0x9cacf348, 0xe49651a0, 0x0dfac39a, 0x6cbea827, 0x21977cb0,
+    0xbe01cdc9, 0x5e5f8069, 0x4a75c2c7, 0x9dcf21a7, 0x8b5c3573, 0x3c72203b, 0xfaa98c46, 0x30fc8f88,
+    0xa77126ac, 0xbf353ed9, 0x93ef3516, 0x3478613e, 0x5242d73b, 0x1633e39f, 0x1c49f0c9, 0xc55dae5d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000024049076047604052253588281311122811\
+                          16032698930082119547604265954848982041717359046106827774346003151904701415424 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281,
+    0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c3, 0xd317ccd7, 0x810b1157, 0x062e0eda, 0x0aa4e296,
+    0x00000000,
+    0xc61abbc8, 0x09cc8edb, 0x61a8952a, 0xf258b201, 0xf291b096, 0x3497bcbf, 0x37287b49, 0xc0f53a9f,
+    0xe23be140, 0x02b7a961, 0xb3ef4df3, 0x8b4e6de3, 0x4da44d03, 0x8908915c, 0x54ff040a, 0x70fc5d81,
+    0xc264fcff, 0xd917e871, 0xea57dde8, 0x53842130, 0x7a0eab3a, 0xb8007548, 0x64d4caa6, 0x99ed2542,
+    0xc14d9a49, 0x74a30970, 0x00443195, 0xd4f4bfd0, 0xbdc78b6b, 0x5d1e2bb1, 0x258777e7, 0x7be37444,
+    0x8cc39b98, 0x40cbe843, 0x6a9b3e95, 0x7a5a31f3, 0x8a5196c3, 0xc58b580b, 0x4ae8dd67, 0xea41ddb2,
+    0x748d312a, 0x960b257b, 0x388259e7, 0x8a8b8009, 0x8906cddb, 0x135177ec, 0x0e2a0aa4, 0x909f7c82,
+    0x98ecc2c3, 0xb93fc021, 0x4aef8286, 0x3266f4dc, 0xcf7feb02, 0xcbdb07a1, 0xda26202b, 0x382f2462,
+    0xb1561f9d, 0xbbbaff39, 0x1bb324de, 0xba655ed1, 0x6ab4c8a4, 0xbe7b0666, 0xabb2aecc, 0x0d58a8bd,
+    0x7a7f494a, 0x9df440d2, 0x05a7cd0d, 0x4e883018, 0xca1f44c3, 0xb76fea14, 0x6d283c8f, 0x8281d2bc,
+    0x24acc39d, 0x2704280e, 0x9d3cf9de, 0xa3f860e3, 0xf0d20fd8, 0xb8a6f656, 0xaa7af555, 0x8106c010,
+    0x1d642a0d, 0xaf333b42, 0xfd21ea5e, 0xb8a9cc89, 0xfb988b65, 0xa8ef5d71, 0x2bc5c084, 0xf786a04e,
+    0x4a1ca385, 0xc002fae8, 0x19aa3c61, 0x1d1e225a, 0x431dd6db, 0x82b86f19, 0xcdd5f486, 0xf703459a,
+    0x3020bd2e, 0x75f36819, 0x7c4507f4, 0x6454a03b, 0x72abc7c1, 0xa590335d, 0x335976f6, 0x6fb198f7,
+    0x8554f462, 0xe016bebc, 0x122a1217, 0x3f392800, 0xe00e652d, 0x8efeff4e, 0x19e064fb, 0xbd5aa8e3,
+    0xa53b02d9, 0xb7db3ee4, 0x0839c1bd, 0x72e2a684, 0x07cb61f5, 0x0883fcaf, 0x0ead3ef5, 0xac3ba349,
+    0x2106ffd5, 0x8643282b, 0x416b27ba, 0x6c642662, 0x143fd8a7, 0x562c99ca, 0xd702447e, 0x72fa741f,
+    0x0167fe0e, 0x5319e5cb, 0x8eb67a7d, 0x2c46ffe2, 0xcc742ffe, 0xbe7da711, 0x649414fd, 0xc94567af,
+    0xb6805e38, 0x4e5e05fa, 0xff68f595, 0xa098d18b, 0x50839253, 0x89270ccc, 0xcb9c158c, 0x7fa73f41,
+    0xeadce98a, 0x66246060, 0xbc3968df, 0x852f7267, 0xa5764540, 0x69e1b72a, 0x84dd0827, 0x9a38007e,
+    0x562f5a5a, 0xed612971, 0x4d39cc8f, 0x2ab1faab, 0xdebb7106, 0x07aaba4c, 0xb759db6f, 0xc72d18fe,
+    0x905d8978, 0x4f15ade3, 0xb3eac62c, 0xfc852c89, 0x0e2f5c8b, 0x2492b0d5, 0x838b5ead, 0xd76df083,
+    0xfebb2e11, 0xdf50672e, 0x4de40684, 0xd7256e2b, 0x1db54ef2, 0xd9975eb5, 0x05705e18, 0x5c5f61f9,
+    0x6ea98dc2, 0x4113be25, 0x12ca7d7b, 0xef2f290d, 0xc2c09216, 0xf0bbde11, 0x7f1a4b76, 0x9b39c751,
+    0xcd1f140d, 0x23067f2c, 0xab20842d, 0xbbd5c63b, 0xcbcc7ff3, 0x8405d395, 0x4ab9781a, 0xe916fef4,
+    0x5b7ec89a, 0xc283f724, 0x908b557e, 0x87398986, 0xac4c1c65, 0x7ab0f7d8, 0x33c1e516, 0xb0cc74e9,
+    0x9a867dcd, 0x69a3cc91, 0x376a0c73, 0x56d65773, 0xca7db740, 0xedecd369, 0xfa4c9604, 0x087cd651,
+    0x28210d30, 0x5a011ac4, 0xe097ede7, 0x8fd93197, 0x7854f466, 0xb0a4d491, 0x59144cf1, 0xff514af7,
+    0x297ba7ad, 0xd00adc94, 0xa8a51a29, 0xb77e53ef, 0x051f85e2, 0x6868616d, 0x146b444e, 0x5163b26d,
+    0xcd0badaa, 0xdcc3a785, 0x46fa0938, 0xb299d034, 0x2e101c00, 0x4c9c02ca, 0xe14707cc, 0x9b41b860,
+    0x0d533201, 0x02fedb68, 0xe5532eaf, 0x1584af39, 0xa5a0f9ce, 0x5440d2c8, 0x0ce1de28, 0xdf5c0447,
+    0x1e8d6433, 0x963f2f28, 0x1faf6b29, 0x8b071179, 0xfc31a710, 0x65fdc5a7, 0xceefe779, 0x0467d7e8,
+    0x937f8c50, 0x3bc77f3e, 0xddc38dda, 0x66b06893, 0x4374c15d, 0xdbf892d3, 0x87113f1f, 0xe150ddad,
+    0xcf7fd165, 0xcdb01027, 0x729a88a2, 0x7b80b73c, 0xeffe84c5, 0x901ad8e6, 0x1bfa5055, 0x62dbea7b,
+    0x6692cbc9, 0xcf8871e2, 0x9514da62, 0x084040ad, 0x74f08574, 0x57be90ba, 0x5713575e, 0x19afddc5,
+    0xf28ab5bb, 0xe6d70647, 0x07adca09, 0x55e97e8e, 0x69b697df, 0xc2e61548, 0x33bcef05, 0xf1841a7a,
+    0xb22bc692, 0x5c9b84c4, 0x1872c1eb, 0x3b5cac81, 0x5eb065ee, 0xa273fc90, 0xd3ec0676, 0xea2b6e2f,
+    0x15297cbe, 0x7154b9e2, 0xf5fd8f7a, 0xbc8a6279, 0xe18e1176, 0xbeab2e7a, 0x210aa24e, 0x0c8be045,
+    0x22e53381, 0xbfe326cc, 0x5ebd3328, 0x9b630478, 0x74b5ab49, 0x807fc897, 0x211b3a99, 0x3d153ba5,
+    0x07e800f0, 0xdf27d4c2, 0xcd89df78, 0x9b1ca19a, 0xaa89dc00, 0x024716a3, 0x4c550731, 0xfe077177,
+    0xb57c5ce0, 0x068bea0f, 0x96ac179c, 0x661c15d4, 0xa791ed9d, 0xe54b4eba, 0x80c3791e, 0x57509c36,
+    0x6fb89d45, 0xb2c3cd76, 0x5968efe0, 0x18201b02, 0x766d3d2d, 0x9ae376d6, 0xae71c30d, 0x11539183,
+    0x4b60d3d7, 0x1daed29a, 0x08b95f9c, 0x6278bfd9, 0x569e7164, 0x02073433, 0xbb53ba01, 0x75e65119,
+    0x5e7bb6f7, 0x7019b47b, 0x3c0fb817, 0x2f3c78b7, 0x2f63644e, 0x081619cd, 0xfc3faf18, 0x68b7889c,
+    0x2fccb6c4, 0x96a430d7, 0x01ff62de, 0xb999fbf4, 0xd25dc980, 0xd74f1fc8, 0xbae14e52, 0x55528ac8,
+    0xeab59e0f, 0xc8f3f7e5, 0xbf3a2e38, 0x19a6cf2d, 0x52f56452, 0x1872704d, 0x68ff2184, 0x798a68e5,
+    0x6849144c, 0xefb8bc65, 0x3b479d01, 0x1aaa32ca, 0x92442ffa, 0x4bd3535a, 0x254833e2, 0xd6be5abf,
+    0x0be5ea55, 0x8a4d2e5a, 0x86c1fe5f, 0x1507010c, 0xc06d7687, 0xe2b0a5bb, 0x2be43270, 0x2942a0c5,
+    0x6853da11, 0x99883afc, 0x200fdcf9, 0xc42f8f67, 0xfd0feb16, 0xea3511eb, 0x09e8eea5, 0x85627cdc,
+    0x6b7d84b2, 0x7b0f4a39, 0x28e29743, 0x14ec7dbe, 0x13ba879d, 0x6d9f337e, 0x3708c3f3, 0xf7f82e92,
+    0x210f3cd3, 0x47ad6f32, 0xbb402cce, 0x95b5a316, 0xc7a8a406, 0x8797df78, 0x1fcc1bc2, 0x39416495,
+    0x577fd91f, 0x24c61a33, 0x6feeb0c5, 0x08e45432, 0x4d18e919, 0xfae73293, 0x08788215, 0x69612818,
+    0x5be1b9b7, 0x688fcb1d, 0x90cf8e85, 0x607cca25, 0x76678af6, 0xc5a2f89b, 0xe562c99e, 0x9c742d23,
+    0x6d18080f, 0x52b390ce, 0x44fe50ee, 0x67a11cc0, 0x622ec1c1, 0xfb89f74b, 0xcbc893db, 0xab25dc95,
+    0x8589c6b7, 0x64fe697d, 0xd5a1ab99, 0x10fa62c8, 0x33076de8, 0x77b03ceb, 0x84dc9e29, 0xe7198a79,
+    0xf1523a0c, 0xccb65c93, 0x45ac2b8c, 0x8f24d747, 0x87d4a68d, 0xa67c1690, 0x9825a5e0, 0xb29aa449,
+    0x7f271784, 0x6a844545, 0x83c72aa1, 0x38a9d2cf, 0x79016722, 0x474ede21, 0x988cf4e8, 0xd75cac75,
+    0xfa88f590, 0x23efd3bf, 0xa5d08311, 0x5a7c5929, 0x6dc96829, 0x92ea80c7, 0x25a687dd, 0x3dc843c5,
+    0xbd18f3d0, 0xa0181493, 0xe16dab66, 0x49f8afb8, 0xe6fd5294, 0x7cb87780, 0x3b4eb4aa, 0x6e59afc1,
+    0x388b5a4c, 0x4ed10889, 0x9f0cb349, 0x816e11cd, 0x8bc738b8, 0x3e9579ce, 0xbbd9a501, 0xba5dc30c,
+    0x2577aeec, 0xb1127cf6, 0x1aa1eb86, 0x211c2ba3, 0x2975e617, 0xa15ca1ac, 0x980b1a48, 0xa0063ffc,
+    0x45c6e047, 0x2fafcf3c, 0xfaedda00, 0x37b098a4, 0xa5ba12e9, 0x9372236f, 0x2821c86a, 0x37434d8f,
+    0xedecec26, 0xd1b8d741, 0xf624b238, 0x0152958a, 0x728483ca, 0x3da6047b, 0x2a29f0ab, 0x78984029,
+    0x7c961f0e, 0xdb39013c, 0x7f1bd54e, 0x892c871c, 0x76ea1957, 0x1ed6031b, 0xd68f6903, 0x25c73b01,
+    0xd8a0f382, 0x7699a270, 0xcff79df0, 0x84f1da77, 0x8c53a855, 0x217c2f73, 0xf9329044, 0x6a4ed272,
+    0xa5011929, 0x37d66b34, 0xae922390, 0x44da760c, 0x1cbebdac, 0x352bc270, 0xcfe081cd, 0x3067f012,
+    0x7aa2ea3f, 0x048e2e58, 0xe4b5d6ca, 0x576ed46e, 0x4aaee52c, 0xe4d8e4fe, 0x8578e579, 0xb0df4856,
+    0x3ae0bc70, 0xc752cf56, 0x8edf86c1, 0x099ba694, 0xc58ce34f, 0x06b1a969, 0xf8432a64, 0x8b740d3e,
+    0xcffad380, 0xbe6b8eee, 0x500862d3, 0xddff2fd8, 0x2300458f, 0xee3c4185, 0x98b77971, 0xfe367707,
+    0x1cd5f0d2, 0x9738b261, 0x8d47c086, 0x3a86e71e, 0xd43d1831, 0x8e8a6e47, 0x28aba5ab, 0xaf99ad1b,
+    0xbcb691cd, 0xa9df44b5, 0x2196aab9, 0x2ade605c, 0x4d11a6ad, 0xd4494788, 0x19e97226, 0x12f2579e,
+    0xf9d0fe66, 0x7a51bde8, 0x52a7c562, 0xa2d57e80, 0x7a22dca0, 0x9787bbac, 0x7387c71f, 0xea7d8b03,
+    0x59b29fd2, 0x736e5a9e, 0x1a6d736e, 0xe1dce4e7, 0x900b086b, 0x8ef1d6ec, 0x3259aa10, 0x364a3fbb,
+    0xb55ee60e, 0xb08bfba1, 0x7c107c40, 0x5993c57b, 0x90597f9d, 0x2a4e01b8, 0xc35137c7, 0xa5287112,
+    0xb984c75c, 0xa109a3bb, 0xbb846e4b, 0x37e21698, 0xdb2174cb, 0x937f1f33, 0x1d9645ca, 0xe7b70e1b,
+    0x13d03e6c, 0x72a648a1, 0x6e3d9999, 0xf9c5ba2f, 0x76bc0771, 0xeb9842e3, 0xa7b53921, 0xc57033c5,
+    0xcb08b90e, 0xf7fc27e6, 0xbce4b68a, 0xe1e5a2a9, 0xc3d0635b, 0x5b9f78aa, 0xed7cd37f, 0xbe64a936,
+    0x32d863b9, 0x3d91e481, 0xc9963eb1, 0x951a16ab, 0x2571376c, 0x9af7b92b, 0x97f41e7a, 0xe1d4615a,
+    0x2133a293, 0x38334977, 0x1c130e66, 0xc734dbf6, 0x488c2b9a, 0xb14efcf6, 0xf4ad2e65, 0x420565ed,
+    0xf83caf42, 0x1ac55b2e, 0xb85c9d37, 0xc9619662, 0x70157654, 0x7b9a729a, 0xb753b1d1, 0x65b6d602,
+    0xe9a2d37a, 0x059c49ac, 0x5be71266, 0x2c735305, 0x9ac3f2bd, 0xf5bb18b1, 0xdc6e03d8, 0xbd781783,
+    0x333c1d24, 0x51b7cfe9, 0x11740d81, 0x21e04c99, 0xfd81c2fb, 0x126a898c, 0x5629a698, 0xae976925,
+    0x840c2de8, 0x44050cef, 0x5eeaada6, 0xd1dd0107, 0xb8f0592c, 0x3aa30690, 0x123337fa, 0xd12f5194,
+    0x5bf2156f, 0xd1f462ea, 0x8b764f2d, 0xacae8193, 0xe0f9f0ea, 0x6874820e, 0x8c75aa20, 0x588ae504,
+    0xef08f743, 0x7c35ddcf, 0x5ac4d540, 0xc2aa2b07, 0xfc7ddc7e, 0x2ee9757e, 0xfc1c06e7, 0xbbc2028b,
+    0x43b7881d, 0xb5ac1b3b, 0x11dab0be, 0x7547090c, 0x6f6ed502, 0x94729401, 0x1a1ac011, 0x95310a06,
+    0x3c57c80a, 0x8ffacb45, 0x33f8ee23, 0x35b7bc65, 0x0f40f982, 0x7da9dc3e, 0xed41a26a, 0xacf80d6d,
+    0x37cc452c, 0x4306444e, 0xecf3ecad, 0x212163af, 0x9f78883c, 0xe64012b6, 0x2f684f94, 0x903d9992,
+    0xed4e614d, 0x63947d71, 0x99eda2ec, 0x69db9544, 0x3d73b09c, 0xace65cfa, 0x09270ad2, 0xe10b6f83,
+    0xe69a4cc9, 0x177582fb, 0x8b2a2e9c, 0x134b2361, 0x36a83ada, 0x3c9596f2, 0xda6e170b, 0xfd233d7c,
+    0xb579efb3, 0x5a70e5ef, 0x83e00d03, 0x5427a4a6, 0x9ffeb2bd, 0x91f99855, 0x006c45d5, 0x8c6a4cb7,
+    0x392911d5, 0x9fb6afac, 0x520698c6, 0xd4ccfb36, 0xc1344f6f, 0xd58b6d31, 0xb356ef51, 0x6e446887,
+    0x8972f1d3, 0xdb26f606, 0xcc394005, 0x6e462eba, 0x7b315f6b, 0xbc33df69, 0xfd46a36a, 0xd67fcab1,
+    0x5efea90b, 0xb7ad77e3, 0x55aad53f, 0xc7c6186b, 0x1a68be7b, 0x700c7260, 0xef46a5be, 0x96c3f1ea,
+    0xa302e550, 0xa8e81a19, 0x73a3c821, 0xd7af6af0, 0xa7ef0895, 0xe5561190, 0x8198c58e, 0xf3f62b7d,
+    0xbd18673f, 0x99392ee1, 0x1ce55640, 0x561080b6, 0xcce3f38a, 0xdbb472e8, 0xc8516c98, 0x836a4e1a,
+    0xcfc847b3, 0x706cd5c9, 0x6a4aa40e, 0x480867f4, 0xaaaa9bca, 0x987cb585, 0xbb3497c0, 0xeceef8f3,
+    0x9d15b99f, 0xd54dce78, 0xe690100c, 0xaed354c9, 0x0a99837f, 0x8f60ddb1, 0x58db2a3d, 0xf32b7aee,
+    0x75e69092, 0x9d69746f, 0x341b24c6, 0xe89a7510, 0xca218fdd, 0x5eb14b32, 0x8e7d4df9, 0x5d9deb13,
+    0x7ea5e0c1, 0xc980a9ca, 0x1c11b305, 0x4c11c0c7, 0x163699a3, 0xf5b07884, 0xec149e1c, 0x1c661d3e,
+    0x81b5800e, 0xa925f592, 0xed6a434d, 0xc36f038f, 0x6a884ace, 0x209fa3d3, 0x0737dad6, 0xd5a0a5e7,
+    0x20ac34ae, 0xd46c4b05, 0x54bb7215, 0x8ddad2b5, 0x50bcdf35, 0x9cb06124, 0xad62cbea, 0x1b09e1dd,
+    0xb46d03b7, 0xf9a168e9, 0x5b7b875f, 0x8c06630c, 0x342e72c1, 0xe97a1b06, 0xb5d6b8c7, 0x95c9f7f1,
+    0xe5ea76a4, 0x1cfe147e, 0x7bd34a30, 0xdd9a1621, 0x510d5de8, 0x4a074e04, 0x4721d4a0, 0xe19238c8,
+    0x22049cca, 0x372523fe, 0xbf05a4a3, 0xd73bbf2a, 0x78156bed, 0x0e501f07, 0x04bab109, 0x906af929,
+    0xd2d78d61, 0x22826458, 0x2d90d35b, 0x3c428539, 0xe937d020, 0x90c1a6ac, 0xf50c228d, 0x7f7c7d99,
+    0x510fe1a7, 0x560e2c49, 0x1be8e297, 0x408f4724, 0x545c1eed, 0xc56c08d8, 0x41d0cff0, 0x853dad12,
+    0x418ea1f9, 0x5015f786, 0xa210d86f, 0x15065615, 0x95f4bbdf, 0xfc2422b8, 0xc05ed440, 0xac780de5,
+    0x51729231, 0x18613161, 0xbc0d5ac3, 0xd90189e4, 0x4e964b62, 0xcb23d40d, 0xaa79fe95, 0x94d100ce,
+    0x70f0e8e3, 0x191e21e1, 0x305df68c, 0x4dd26d47, 0x510d92f0, 0xcdc0e4cb, 0x2818f8ff, 0x3150e0ca,
+    0x95f976e5, 0x35aa5257, 0x325198f7, 0x1ebce48c, 0xe699ee8b, 0x897f1eca, 0xf5a3abeb, 0xe2a6a46d,
+    0x92b0e68b, 0xdfa96b97, 0x93115c57, 0x731e119b, 0xdfbe779a, 0x0a2a54c8, 0xbd40a0f0, 0x64734b40,
+    0xfe508747, 0x8cb5fe2a, 0x17f73886, 0x011fbcef, 0x6a7a3312, 0x8d2912b8, 0x21486e40, 0xc9d8acb0,
+    0xa10babf5, 0x7f2ea9e4, 0xceed61a3, 0x828897b0, 0xf0836e0a, 0xe6c7cada, 0xb9235012, 0x820602e6,
+    0x9e0ba70e, 0xd7615ae3, 0xa16d4c00, 0x8a9b4e3e, 0xdb482682, 0x5cc4d632, 0x3a054d43, 0xffdf5538,
+    0x30ed9529, 0x53f5603e, 0xbfa928fe, 0x4d283834, 0xb7f880f9, 0x850aadd5, 0x69c0b1c8, 0x793410ca,
+    0x04810e0e, 0xaf598172, 0xaa23dcfe, 0xf54f9be7, 0x4c736628, 0x7d9843f9, 0xb11ce842, 0xa1afa11d,
+    0xa2e6e2a6, 0xaab50eb7, 0x5227a383, 0xf40d351b, 0x2dadb7e8, 0x6869029f, 0x13725d27, 0x45d61cf1,
+    0xc91a86b7, 0x422a07f0, 0x85a2584c, 0x05c9e073, 0x511fa92c, 0x69b84783, 0x3be0ddc7, 0xc6bcfacb,
+    0x08e03c50, 0x632fbd5b, 0xb5401c09, 0x440df82e, 0xeb2cfcd2, 0x35e66b19, 0xef705e05, 0x38ba18d0,
+    0x23158063, 0x64accb99, 0x9ab9511b, 0x4272ab30, 0xf55b224a, 0xf6fff380, 0x8550dc73, 0x840319aa,
+    0x8c223239, 0x8c519137, 0x9bf337c5, 0xe81584a1, 0x6b0ca349, 0xdf5013ed, 0x2a6ac243, 0x8104d7b2,
+    0x34b761f0, 0xbbce3c7a, 0x5c6bdc01, 0x27ad79e1, 0x56cad4c4, 0xdaab41cc, 0xdecd78db, 0xb839ae23,
+    0xb89a1584, 0xbe483391, 0x51b221c3, 0x833d79aa, 0x4b224dd5, 0x1d2b5ad6, 0x43bdacd0, 0x96d13488,
+    0x8f537332, 0xa7707f17, 0x1c551985, 0xe67be2ea, 0x54deba95, 0x9a6e5e20, 0x41c2789a, 0x4d6f6c90,
+    0x60b06fa8, 0xb24b9e20, 0xc0545cdb, 0x131b3d94, 0x035f0219, 0x7730291b, 0x102b8fd4, 0x49126f73,
+    0x2afd884b, 0xe8489d21, 0xcd58e6de, 0xa174a7df, 0x718fbc69, 0x01d09587, 0x66250cff, 0x2850bb4e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000012024538023802026126794140655561405\
+                          58016349465041059773802132977424491020858679523053413887173001575952350707712 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940,
+    0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf461, 0xe98be66b, 0xc08588ab, 0x8317076d, 0x0552714a,
+    0x00000000,
+    0xe133069a, 0xf7f81ba1, 0x42cbec15, 0xbfafbe49, 0xd55a223c, 0xc6bb7c8b, 0xd93f175e, 0xd7413f36,
+    0x2c508d77, 0x0d8eb053, 0xc16c01a0, 0x658acf84, 0x66f71b66, 0xcc45e836, 0x4bc43963, 0x44f4d863,
+    0x17645973, 0x2275a578, 0x77eae298, 0xe38f5595, 0xaad6cadf, 0xb65fcab7, 0xcf26036e, 0xf5c0e545,
+    0x1d81a7ef, 0x39fd43c4, 0xbe33f45f, 0x8a110ce3, 0xb5bd5e94, 0x3a0b45d7, 0x3f38eadb, 0x47e04962,
+    0xa91255ad, 0x373d88c8, 0xa9d08d35, 0x9fb65ec9, 0xf356ae3e, 0x06c0a903, 0x43a85b03, 0xe1b7b6ce,
+    0x7c6c0720, 0x48f561f6, 0xc53a6311, 0x0c9438fa, 0x8bd4cf6a, 0x132760cb, 0x19513e25, 0xdf118c19,
+    0x3344b4a5, 0xf1235ef1, 0x9d535a31, 0x39d80a4c, 0xf779ee41, 0xed9d3270, 0x844b8abd, 0x93b38ec1,
+    0xf01895b3, 0x3160444a, 0x5decbd70, 0x6f155387, 0xec223d44, 0x60aceb34, 0x4fbfd48c, 0xc14df60b,
+    0x20b7d1ad, 0xb77405a7, 0x57064678, 0x20c409fb, 0x2dea32db, 0x7ffc81f0, 0x0913d64d, 0x661ceccc,
+    0x7be828cb, 0x36fe97d9, 0xd72f8f53, 0x67d43e77, 0x0cbdb642, 0xe5e49e54, 0xdc870dbc, 0xeb83e284,
+    0xae59c998, 0x0f5095a9, 0x22b4934b, 0xee15b554, 0xa77352e9, 0x5a30163d, 0xe89a7829, 0x9f61ea31,
+    0x9bd2f299, 0x4c91ac29, 0xd97cde0b, 0xa86d8efa, 0x0e611700, 0x8c422cee, 0xa967e1b9, 0x364e1365,
+    0x1d6ec842, 0x70cd1874, 0x56c4c50b, 0xe233ed85, 0x6a21ef96, 0xbf381025, 0xe983e011, 0xf4d039b3,
+    0xa417d166, 0x3eb78260, 0x0472da34, 0x5e9f48d3, 0xc8cf8ed9, 0xfa062032, 0x84f503a5, 0xbe1c78f7,
+    0x72841ae4, 0xc292a643, 0xc8f3a7e8, 0xf55ab516, 0x844fdfdb, 0x74bf172e, 0x934fb9e2, 0xdae6d850,
+    0x1c3f6108, 0xbeffa678, 0x3aacdd00, 0x94fa3cf4, 0xa8a525d7, 0x2ad2c036, 0xbcb5d146, 0x1cf0f96b,
+    0x8a1453c3, 0x6dbaeb08, 0x2e99f091, 0xf537d59c, 0x0e392594, 0xaf45a9c8, 0x34ed7647, 0x19909300,
+    0xe759c46c, 0xa12783fd, 0xcee4dd6b, 0x85eba2f3, 0x38587033, 0x9f807983, 0xe25d148a, 0xbef00ceb,
+    0x93722449, 0x1c2fd9ba, 0x2d924f59, 0x771f9845, 0xbbb4f946, 0x89e9be5f, 0xe700937a, 0xd854f16e,
+    0x1aaa49bb, 0x1c390954, 0xd57bd11d, 0x202c98cf, 0xe47dc2f3, 0x0d82104e, 0x4dbaf0c8, 0x479aeba3,
+    0x210b9141, 0xbe8464b7, 0x4cd78727, 0x2e832bc8, 0xdecb217d, 0xa5973149, 0x4bfd5d20, 0xf14e0558,
+    0x0d20887e, 0x41c5ec03, 0x259a8f04, 0xcfad5be9, 0x0fa8f987, 0xb90885fe, 0x035e8838, 0x5deb2c63,
+    0x7d1cfa1e, 0xcfbd624b, 0xac0ffdef, 0x5c1a9f96, 0x069034c0, 0x0acf8294, 0x888fc63d, 0xa3fedb55,
+    0x2f0b5388, 0xf59b7a97, 0x962b2488, 0x62a090fd, 0xc1a77371, 0x70d12394, 0xc54da5dd, 0x3c70acb7,
+    0x23a59cef, 0x6393f25e, 0x6a68bacb, 0xdb509680, 0xe8366fd2, 0x10b86f4a, 0xc2944e5b, 0xdeff051c,
+    0x4def178d, 0xfcb93ec6, 0x81d4d159, 0x8f41c502, 0x3d9a7b49, 0xef1ff763, 0x48704246, 0x776e4a8d,
+    0xf773a773, 0x0fd29bfc, 0x2aa12a77, 0xc8616e6d, 0x2d48fd6a, 0x403aea0e, 0x9f12777f, 0xdfe8d670,
+    0x8c9a39c1, 0x30249d09, 0x074c950a, 0x89d0fb6d, 0x78b4d8a2, 0x0e19947a, 0xa14a52ec, 0xfe37a071,
+    0x6bcabc38, 0x40cf3bd1, 0x995f090d, 0x63400bb0, 0x63901e22, 0xba36d20b, 0xcba38c9e, 0xe945205c,
+    0x8d29721a, 0xcec1df20, 0x38de5aae, 0xc5835480, 0xaef923ac, 0xb665fe32, 0xd04aaf28, 0x7896781d,
+    0xecbe8cfe, 0x38efe528, 0x59cc53f2, 0x45f714b8, 0xdf9a8e73, 0x3ceaa56c, 0xb2197950, 0x71979112,
+    0x4cc70e46, 0x9a13c499, 0xee66d0da, 0x0a4571f1, 0x25582adc, 0xf6845ad5, 0x1b70f210, 0x87c56960,
+    0x16d448b5, 0x5ad5936d, 0x50d27c42, 0x08794344, 0x149f27b0, 0xe8536248, 0x9b502402, 0x78e63e67,
+    0x843bd07b, 0x52538e95, 0x5be211d0, 0xcd3e05cd, 0xdb55da98, 0xfb6d0cc8, 0xd0d31a8a, 0x54ce1bb3,
+    0x5313c13b, 0x33d647ec, 0xa0e45b89, 0xf561bcca, 0x14b097ca, 0x8304cdd5, 0x627f9fa0, 0x2502b466,
+    0xb4e1bf4c, 0x2570cb5b, 0x816ffd92, 0x1c851560, 0x2929ce01, 0x0848c9e6, 0x09ff92ec, 0xa0c414ec,
+    0x2d88db4d, 0xb7830f05, 0xf11129f0, 0x181c2c3a, 0x70efbe0f, 0x9fdc4486, 0x31666086, 0xe5c5a48c,
+    0x0bedc4c7, 0x8373c952, 0x66574968, 0xa3019755, 0x4a2ddd90, 0xbf70f6f5, 0x2a166e5f, 0x70a0868a,
+    0x322e5ac1, 0xe5805938, 0x38315c21, 0x636ef000, 0xba68e0c1, 0xe2dfc9e3, 0x4dd7f4d2, 0x0ac9f58d,
+    0xbc4e021e, 0x1c2bb197, 0x06d86c49, 0x8e8f37ee, 0xb4ab3488, 0xeb100c13, 0x21b0161e, 0xb99bcee1,
+    0xa82f4d1d, 0x059b59b1, 0xfaaa8ed6, 0xb708fddb, 0xa7f21353, 0x08102033, 0x31f140d5, 0x1df12979,
+    0xc27bcf82, 0x2a5d7caf, 0xcfe023f2, 0xf4f73c00, 0x227b22df, 0x0bdf89d8, 0xb93318ae, 0x263debf9,
+    0x3d54869b, 0xb592aedf, 0xcb97cb76, 0xff23d15f, 0xb0d658e3, 0xe9cbdfea, 0xeba6679e, 0x09bf0007,
+    0xf57c7e10, 0x3cf2dd0f, 0x15378da0, 0xab0ff4ef, 0x2db50daf, 0x2dd0200b, 0xf990ba20, 0x3183b200,
+    0xe6aaaada, 0xe1026d94, 0x1a54e16d, 0x0b7890d8, 0xac960e09, 0x326282d0, 0x2f79d7c2, 0x2d11dbf8,
+    0x105f2d92, 0xcdccfb88, 0x743d4f0c, 0x3bae9e71, 0x7dd6c2eb, 0xb2ffbc00, 0x7d60f1e7, 0x909a5323,
+    0x774982a0, 0xe0a48c0b, 0x543f55d0, 0xb477a58c, 0x9ca7f78c, 0x312f726f, 0xfdd6f831, 0x13651e66,
+    0xa98b7979, 0x7ce4477c, 0xf7b248f8, 0x931eea9b, 0x9c2b31d2, 0x038f052b, 0x8c5aef76, 0xee164cb0,
+    0x7b6ee27a, 0x5fd5d635, 0x9df6a0f1, 0xd1f65b73, 0x5fbac11a, 0x664139c4, 0xdba381df, 0x74888e39,
+    0x587e6fb6, 0x5293c3b4, 0x7e8d46bd, 0xa4b39c10, 0xc3d9301f, 0x1a27e635, 0x8520fc59, 0x8c0dd8db,
+    0x4806547f, 0x64e111e1, 0x1f7f5149, 0xc0611408, 0xa1838631, 0xf9c019fb, 0x2e870d63, 0xcbeed23b,
+    0x9839628d, 0x0ffb8b5a, 0x91818b50, 0x02f643f1, 0x73ee5754, 0xeb29a88e, 0x9c473dc3, 0xc432ea6f,
+    0xb2a78f1a, 0xb53992b2, 0x744aae3c, 0x19873428, 0xcabbccc7, 0xc03bc2c9, 0xf23a8a83, 0xcaca497e,
+    0x8eba5963, 0x70b594fe, 0x79c15af4, 0xbd76eb36, 0xe4ebc28e, 0xbedeb766, 0x3a196e71, 0x3f8821f0,
+    0x32c0523e, 0xf55e43b2, 0x3bd5f230, 0x3d72b0f2, 0x20f8f745, 0x39f7ead6, 0x88d05b68, 0x6c7d64de,
+    0x56102130, 0x1b5a63ae, 0x834f93de, 0xe25af131, 0x4fdc3719, 0xceac2386, 0xa541dd5e, 0x73f28609,
+    0x0c988ac2, 0x7d623220, 0x5d45266c, 0x4624e39f, 0x3cb24370, 0xeac8b025, 0x0a8c6df7, 0x23d340ea,
+    0x0dde1d4e, 0x1b61cdbe, 0xc52b3c55, 0x0391f868, 0xbf78ed8c, 0x67370391, 0x8a5a28bb, 0x3dfe7a71,
+    0x011682a7, 0xe07b2b17, 0xf03d686d, 0x92c21a3c, 0x6fc0523f, 0xbc1b9224, 0x9417a8ec, 0x82ff3ee6,
+    0x9ba75941, 0x3d508cc5, 0xb63c2460, 0x563ce399, 0xa50c4ac1, 0x0424021c, 0xea6fdc6d, 0x7227a403,
+    0x63c03ba7, 0x3dbd80ff, 0x2a803854, 0x33bee35a, 0xe25b4744, 0xe225a498, 0x42a15ff5, 0xa5642d53,
+    0xdb5bdae9, 0x1acdd28b, 0xdfebfc78, 0xeb4be239, 0xf6f4e57e, 0x405581b0, 0xc43e761a, 0x56e6f234,
+    0xc8e2138d, 0x72150c0a, 0x3e63a3c9, 0x9851fd27, 0x646373dd, 0x6e3977e8, 0x6ca8f946, 0x9a5c3f5a,
+    0xcdc2b540, 0x6c035ac7, 0xf633e41f, 0x6c9455e6, 0xb96557ea, 0x15003fcb, 0x081f75e5, 0x57491b63,
+    0x14c536ff, 0xabeeeea0, 0x173afe0c, 0x0662f7a4, 0xd1c48457, 0xb57d051f, 0xe5aee862, 0x57026edf,
+    0x72817ce7, 0x0d71865f, 0x5bc21d0e, 0x139291c8, 0xca93a8fc, 0x03a45236, 0xad6cc341, 0x3af1f7f0,
+    0xd5667f0c, 0xeb4a16a7, 0x1d07b0f0, 0xe3defbae, 0x18a75c3f, 0xdb5ed7bd, 0x53fc2820, 0xb8d85c0d,
+    0x30155187, 0xdfbe1641, 0x0c4481d3, 0xe07bd086, 0xff257a42, 0x82231ad4, 0x037cc23f, 0x68d3abd9,
+    0x42435b34, 0xa1a44f1f, 0x1cc6d1a2, 0xf61fa256, 0x59ebf1c8, 0x489d3667, 0x07abca0e, 0xb71a6d78,
+    0x8aa2ab65, 0x1ed366dd, 0x2e0e7b9e, 0xc7552b8b, 0x4c694560, 0x3fa9aa72, 0xd9964d29, 0xd7abd01d,
+    0xfe21ddcf, 0x70761fa1, 0xdfecacad, 0x08008e82, 0x5a42c9d0, 0x4f0ddb3d, 0x8a0949f5, 0xcb6bec21,
+    0x18c9df5b, 0xed8dfa04, 0x897b29ff, 0x2d5c02f8, 0x0772e605, 0x06dc43db, 0x79abaddd, 0xb092589a,
+    0xa207a4b0, 0xbd5c3ec9, 0x0b4d8254, 0xbc4e09e0, 0x37e7db49, 0xa0248e56, 0x11e1ee65, 0xaf3d0fb7,
+    0xf36e1f72, 0x10d22095, 0xe65c1163, 0xee2b82b2, 0xb3d02800, 0x9762e613, 0x3395d59e, 0x327f31c7,
+    0xd8935d6b, 0xc0f56ff1, 0x39866cb9, 0xe0230c69, 0x036180fa, 0x445ee059, 0x4483767a, 0xfe34e528,
+    0xb713e9c3, 0xabc1bde4, 0xb76e44e8, 0xee843b7b, 0x084dca48, 0x59a30382, 0xf0f97458, 0x5cfee55d,
+    0xcbba38df, 0xbcc07db3, 0x673e0492, 0xa3982d24, 0x5b3b61fd, 0xd30d43b0, 0xdf26ed6b, 0x60a9cac9,
+    0xe7f13b34, 0xb1183575, 0x78293b51, 0x7b560266, 0x194a182a, 0xd7f1d714, 0x33926622, 0xbe3c1b82,
+    0x62fd40f7, 0xa912b833, 0xfc8ca746, 0x14b69cb7, 0xeec0f215, 0x6da2ef90, 0xe16b834e, 0x73ffc5b2,
+    0x6c3c2993, 0x9328dc16, 0x33b64d23, 0xe52b6f2f, 0x82cf746d, 0x9c885cf5, 0xf54d83b5, 0x2b6d493d,
+    0xe9c49c74, 0xdb7a3323, 0x5e87ce58, 0x22453d14, 0xa3db0cb8, 0x4fb846b9, 0xf71da028, 0x8198c704,
+    0xb5f5e0c4, 0x8ae9c737, 0xdd0ebcf4, 0xed925d80, 0x80d64866, 0xb8d2f5c8, 0x8653a3f1, 0xa5841489,
+    0x808a893f, 0x27e70cb4, 0x37a881a2, 0xee086e59, 0x367e97a1, 0xf6809964, 0x5edc1cc7, 0xba9d595d,
+    0x1ab9d87d, 0xfb781d5a, 0xae36f06f, 0xa80b1f3e, 0x33dfa9ee, 0x5d4e15d6, 0x6d47a340, 0xebe4195e,
+    0x6172ee01, 0x2f3fe855, 0xf414dd70, 0x92ed035d, 0xba296987, 0x52db05fc, 0x0dc21fe8, 0x4de38e8c,
+    0xc29c05fe, 0x2cc23ee6, 0x96623907, 0x95f044f3, 0x1b748415, 0xd03aab70, 0x7981c827, 0x21563ef6,
+    0x4e28d109, 0x5f60d2aa, 0x93a93a5c, 0x282a1d64, 0x5d04a37a, 0x951d8493, 0xfd6bad53, 0x48f0698f,
+    0xa25f2c91, 0xe005b3dd, 0xbb806783, 0x8f79fb4e, 0xc3a6f3e9, 0x260a6092, 0x22d3fc9d, 0xbd32fe08,
+    0x08f26c8e, 0x4fef7d1e, 0x64b2206a, 0xd6512ed6, 0x486a39fe, 0x68ae1cf1, 0xca7d877e, 0xed81b825,
+    0x63e820d8, 0x75e9676c, 0x5342e780, 0x7f1c94c7, 0xda002186, 0x27da2706, 0xbd8a2c36, 0x2e8fbcea,
+    0x576bfc39, 0xa1f61c2e, 0x8b37dc88, 0x2444ec25, 0x7a38e086, 0x3ffa599d, 0xfe8df5bb, 0xb9f1e843,
+    0x74a0eff6, 0xfa338412, 0x13919115, 0x4de88baf, 0x9385c374, 0x74208fba, 0xc744b5a8, 0xfbc07e5a,
+    0xe1dcb59f, 0x5c0070a9, 0xda83b859, 0x31b785c3, 0x7eec13ec, 0xcf1f737a, 0x5a77e13b, 0x9c963665,
+    0xc4110a5d, 0x2de43073, 0x41f6b3bf, 0xbfb0d898, 0x8cc2edce, 0x13d555cd, 0xf7140b65, 0xe368772d,
+    0xc365dff2, 0x2ecb3af1, 0xebe0be0e, 0x7ef894fd, 0x94fb5fc6, 0xe0bd759d, 0x299c4348, 0xf8d45adf,
+    0xfd3f09b9, 0x756f72c7, 0xabd43bff, 0x3b1813d6, 0x9e2ec530, 0xd897e419, 0xfc4dcb46, 0x3ed9e908,
+    0x531f15f7, 0x6580cd23, 0xbdcd15a0, 0xe818d5f2, 0x63b37256, 0xf8ecb3d2, 0x9ac37e63, 0xdb1d6f51,
+    0x714b13a0, 0x5b3fcbf0, 0xfd0cfa8a, 0x9a8c5db7, 0x9261175f, 0xf53ff24e, 0x8f994262, 0x2c69785f,
+    0xe9f40a31, 0x343cee08, 0x6cc2d49a, 0x1429554c, 0x015b9efa, 0xb0dce5f5, 0x314bf5c0, 0xef3fbe06,
+    0xaf698b72, 0xec4fea17, 0x72e6fd60, 0x90e42d0b, 0x44920bbd, 0xfaeeab7d, 0xc15b72ea, 0x2fd042f4,
+    0x460873af, 0xc8df3053, 0x4784419c, 0x063e0a91, 0x95fae22f, 0x430a1c2a, 0xc7528369, 0xcede0253,
+    0xfa3aeede, 0xb8f578b9, 0x4b555831, 0x3a71d7ce, 0x6caf37f9, 0xd3096dde, 0x84336856, 0x6f89d1d1,
+    0xe7216b7f, 0x9406ff6a, 0x7401ea47, 0x6b08dd7b, 0xa2a8860c, 0x2edec61e, 0xe8ca2311, 0x75acbf1f,
+    0x99c5d073, 0x5dd0b0c5, 0xcf675f26, 0x529862f0, 0x98c3fd8e, 0xfc956ef4, 0xfeb7f1d0, 0x0841ecd3,
+    0x762117aa, 0x601f27b0, 0x297499b1, 0x2e8154fa, 0xfa863030, 0x87599593, 0x59d1b8d3, 0x051b376f,
+    0xf635a94a, 0x6fc9573d, 0x99ad8630, 0x74fd8ab3, 0xc83a2ec7, 0xa9b06ac8, 0xd7bc0497, 0xb6ad7ad5,
+    0xee418fe2, 0x843e82c6, 0x71f93fdc, 0xf3d9d7c0, 0x1da12f9b, 0xd8ab1b52, 0xcf45dbcb, 0xcdd753da,
+    0x5137647a, 0xdbf0d731, 0x19b87620, 0x32dc6c14, 0x1a7a6604, 0xf75227e6, 0xb4d434d3, 0xbd307eab,
+    0x2ed26c33, 0xd3902fe8, 0x7b227cb0, 0x52d9d1b0, 0x86e648af, 0x74c5a5bd, 0xd33c007e, 0xe7bf66a4,
+    0x03dc649f, 0x9c12d41f, 0x53ce73b2, 0x6dcf787b, 0x05f9cda6, 0x1c5e970f, 0x982376a3, 0x39e83204,
+    0xec8c9d56, 0xe6d54aad, 0x19ed95e6, 0x76467a16, 0x285480b9, 0x866ec727, 0x56fc3449, 0xa214c546,
+    0x9d04ecc2, 0x463e8bf8, 0x9caf0cea, 0x91e97c09, 0xe02e651c, 0xf5d88121, 0x936f332a, 0xd5d8badd,
+    0x71ac504a, 0x1bdc214e, 0x07b35f6a, 0x10ca37be, 0x0c22b952, 0xe26fbb56, 0xd77b3955, 0x987042a9,
+    0x929a4a16, 0x36c7d8b4, 0xddf1bc78, 0x7029170a, 0xbc4879df, 0xa124cc0d, 0x4fa55838, 0x96401a8b,
+    0x45696184, 0xbc5beec1, 0x9b21c58f, 0xabf5b158, 0x789a6838, 0x75bb5386, 0x2dd8a4fd, 0x339941c0,
+    0x43ebb9b5, 0x0b79f26f, 0x17aa27ea, 0x19c3eb22, 0x03da8f8d, 0xa7fc83e0, 0x42f70df3, 0xe227a836,
+    0x0ea5a0b7, 0x78ba6f1b, 0x345d0a4d, 0xb5317997, 0x4d708c2f, 0xcac9275c, 0x83b38725, 0xc65003a8,
+    0x75a52910, 0x98298341, 0xcf44bd81, 0xa0fdfa6a, 0x6ad8e0ba, 0xc5b9c293, 0x8f1514fb, 0xa38e6ce8,
+    0x6e5ad30a, 0x1c9f7774, 0x2fbbcdf4, 0xf08fab67, 0xa8315e83, 0xda15b410, 0x4c49f9f8, 0xed015269,
+    0xd550caa6, 0x249f0747, 0xfc24b767, 0x2df57df0, 0xe9530ee8, 0xb7ef1751, 0x8ca3986e, 0x6cfb7737,
+    0x70751f4b, 0x99ea06d2, 0x9d498a58, 0x4fe9d89f, 0x7cdc0a6c, 0x3148927b, 0x72e6d9ec, 0xa3c98b9d,
+    0x07a177ce, 0xb91df91e, 0x12de4444, 0x848c8e69, 0x1cc2e687, 0xd081674c, 0x6a12945d, 0xd136b2b4,
+    0x6b221983, 0xa28e4b24, 0x89943191, 0x4154d305, 0xb0495515, 0x34ce7561, 0x42ced581, 0xa7e8d092,
+    0x2f8adb34, 0x99601de6, 0x527f0173, 0x885c9005, 0x627ed4b7, 0x40dcdb6b, 0x99d289b1, 0x5fc8f74f,
+    0x99b17b2e, 0x47cf8090, 0xc5ce87d6, 0xebee6ed9, 0x6106c6fd, 0xe255d112, 0x2f58d54a, 0xd7592adf,
+    0x0ef71f98, 0xc931de59, 0x98bda254, 0x1496dd01, 0x0c0c8011, 0x1f301764, 0x5b88b76d, 0xed2dcb0b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000006012269011901013063397070327780702\
+                          79008174732520529886901066488712245510429339761526706943586500787976175353856 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0,
+    0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa30, 0xf4c5f335, 0xe042c455, 0xc18b83b6, 0x82a938a4,
+    0x00000000,
+    0xf01b352e, 0x3e7d32a9, 0xb75878ee, 0x65d83db7, 0xfa8be86b, 0x568ff501, 0xc57ca91a, 0xd1982151,
+    0x6771a124, 0xc8b2f62a, 0x78330789, 0x8a789d71, 0x26d3f875, 0x82f4fc2e, 0xdf538fa4, 0x9fbadb24,
+    0x8565d009, 0xf48a0330, 0x4674b832, 0x92ce997f, 0xe6054c74, 0xb475ff6b, 0xf2bc8030, 0x14213d0c,
+    0x30b93cd3, 0x389caee6, 0x7e70b3e8, 0xc0290cdc, 0x958413e3, 0x594eae37, 0x32210aca, 0x148fde80,
+    0xbe49805e, 0x79dc66b3, 0xc37bd0b6, 0x0dfa4042, 0x7c15d55c, 0x01c1040e, 0x456b4c6e, 0xd56570af,
+    0xf50283e0, 0x23d3687f, 0x9bab303c, 0x9e74eabf, 0x3e56f321, 0xab9884a3, 0xa43f67f5, 0x8a404fe5,
+    0xef381e2f, 0xffbb7aca, 0x51869d88, 0x912d9b89, 0xe7aa8e2f, 0x5349952c, 0x464f1aa8, 0x7c6a48bd,
+    0xf5a9e72e, 0x62b76dec, 0x2f3fe311, 0x7f5faf9a, 0x8eeaf887, 0xd804d4df, 0xa6c60749, 0x30581cda,
+    0x56da4a9c, 0xfa30e11f, 0xdcbbf290, 0xa35ae8ce, 0xc40eac88, 0x3db15c56, 0x0c2238b5, 0xd49972f1,
+    0x8d906e57, 0x5e74e869, 0x948e23bd, 0x7087c38d, 0x36d4cebb, 0x07c40242, 0x87dda93c, 0x430c10ee,
+    0x77b87354, 0xfa36ffab, 0xfdba1b03, 0x83a23b50, 0xc0544f0e, 0x32bdd8c9, 0x3952057a, 0x49c7fd30,
+    0x65fa995c, 0xecc438c2, 0x59e2dad3, 0x8a0b5bda, 0xa90f41c7, 0x7aaa62e5, 0xac538f69, 0x941a47f8,
+    0x64f9b55d, 0x45c6cd21, 0x79545c5e, 0x81d7247b, 0xd035a53a, 0x0a1bf368, 0xcf0692f9, 0xedc14eb2,
+    0xb9930193, 0xf0d0d47a, 0x01ee6032, 0x8121d08f, 0xc244fe37, 0x13a42a0f, 0x28f5084d, 0x275549a4,
+    0xd0d45c0a, 0xcee4721d, 0x891748f1, 0x6e7caa7d, 0xa4b6ef8c, 0x100f04e5, 0xca1d61f7, 0x51582e99,
+    0xdee4b8b5, 0x9d761e96, 0xb2f6d5b9, 0x36897ca8, 0xb2c26646, 0x2d41e848, 0xde27255a, 0x42d4bce4,
+    0xfee87082, 0x7f474487, 0x10b0b1e0, 0xb22842c2, 0x26fac41f, 0xf3efaa8a, 0x43b3f13a, 0x4223ce78,
+    0xc7ca702a, 0x4aa3d99e, 0xdae0e1ac, 0xdb2fb921, 0x6ef029a4, 0xe2037b1d, 0x0653539d, 0xb1bfddef,
+    0xe5aaa484, 0x5b23b8b9, 0x566636ff, 0xae42f10e, 0xc871a48a, 0x9045f688, 0x2d4c1638, 0x1bcfe6a9,
+    0xc2ca1f26, 0xa9e30403, 0x4aa754f2, 0xef130481, 0x9cab50a9, 0x4a8af2bb, 0xbeee360e, 0xc1cbac5d,
+    0xdd70eda5, 0xc8685345, 0xa53332e3, 0x146987ed, 0x6f4c5801, 0x93c068bb, 0x151bc4db, 0x087bb87d,
+    0xc0ab601a, 0x2eb743f7, 0x23ada28f, 0xf6648489, 0x0b17411c, 0xf9c17587, 0x4698d387, 0x03e09763,
+    0x3d735088, 0x56e7315d, 0x42ecf859, 0xdb8874f0, 0x59cce260, 0x8f5e022a, 0xf0675ced, 0x1169f4b6,
+    0x6dd5180f, 0x16675923, 0x4dd03319, 0xd448dc37, 0x71be6324, 0x3f7938cc, 0x3b98b03b, 0xdc67be0c,
+    0x83cfb40d, 0xdd390540, 0xb7131941, 0x288a5837, 0xf6172c65, 0x594a3cfb, 0x28386bc7, 0x2fbaca06,
+    0x9396d6ef, 0x3136b103, 0x106898ad, 0x71a897ab, 0x2a442fa1, 0xfaef647e, 0xcec71e96, 0x0e11c1ac,
+    0x966b1fad, 0xb9389659, 0xf0cd37ba, 0x37dc8011, 0x49268d6b, 0x60bf81f8, 0x580abc51, 0x22b52f35,
+    0x4659d678, 0xf92e5ceb, 0x4cf2232b, 0xf452fb9e, 0xfbd23398, 0x66998f70, 0x5e8749d7, 0xf4f49ecc,
+    0x06c2c17d, 0x7647c5dc, 0xf2eb4098, 0x2d013331, 0xc954f9e1, 0xb8e00420, 0xe20d8429, 0x422a5bfd,
+    0x7ac91b4b, 0x73ad3f80, 0xe226e3f0, 0x1d5157b8, 0x1af7a467, 0x14e71d02, 0x7f9ca30b, 0x9ad9d37c,
+    0xde19dd5c, 0x4bdadb9b, 0x8afe2b3b, 0x10161635, 0xc5eca96a, 0x9632b713, 0x6ffa129d, 0xa3303df8,
+    0x3d253672, 0x67a35504, 0xa7e9eba1, 0x76016f12, 0xa2683cf7, 0x0961578d, 0x72dd0613, 0xfa62bded,
+    0xb853000c, 0x2c2318fc, 0x0747e45c, 0x1cc55f5a, 0x8d582864, 0x2a66f1b8, 0x9906b5a0, 0x5f6ac786,
+    0xd3b174d7, 0xbae77266, 0xff1535af, 0x7cc0810a, 0x8837b620, 0x8badb501, 0xd815d010, 0xf03372c8,
+    0xdaa959ec, 0xc1f9e8ad, 0x19dac547, 0x910a4ddd, 0xdd998acb, 0x236a001d, 0x126b1d5e, 0xcab10caf,
+    0x4024a764, 0x540d524a, 0xac3d767d, 0xed3d2b59, 0xb2e20740, 0x5a1f2733, 0x473fbb59, 0x00ff8d3d,
+    0x2d749c35, 0x75fbf30e, 0x3bb82104, 0x4ff5721b, 0x95c94fe4, 0xd04aa7ff, 0x0a53dede, 0x627452d4,
+    0x778c3b95, 0x31a806bb, 0xcd1527a1, 0xe7452161, 0x698b6e03, 0xd2debb67, 0x85f1a477, 0xadfb0b74,
+    0x31936eed, 0x0c3ed82a, 0x28917e78, 0x7f23b592, 0x9b2494fd, 0xef1ca263, 0x775e77cc, 0xcfca610f,
+    0xc9356e08, 0x454c1433, 0xe8aa4b14, 0x59e1f9f2, 0xfe1de3be, 0xc0d48e73, 0x25142605, 0xa237a1cc,
+    0x9d2c99ca, 0x1585769c, 0x6a9f02ff, 0xa6d50a22, 0xd5bf7d37, 0x79ec4fea, 0xc03fa61e, 0x2f4aca34,
+    0x24395e95, 0x672a38f6, 0xcae4504f, 0xbe4bdb2c, 0xc49cdfb0, 0xbb0886f5, 0x43f397c8, 0x6121c810,
+    0x32d0eaae, 0x0abaa481, 0x40380396, 0x0ac167d7, 0xf91b24f6, 0x42a387b0, 0x5127b910, 0x4ff06283,
+    0x7d801d29, 0xc6fbf32c, 0x0c1cfe67, 0x87b49cfe, 0x7ab5b410, 0x135a8029, 0x1c9c77cf, 0x1fbe33b5,
+    0x35e561bd, 0xaa73860b, 0xc16bc109, 0x5f8c56de, 0xd46a5bc9, 0x4321bf74, 0x356cf725, 0x6a58e743,
+    0x31c0dbec, 0x0c293b75, 0x49e67b2d, 0x18e2d598, 0x814086a4, 0x67b5dfc9, 0xea7b4538, 0x91b2f82f,
+    0x63138f3a, 0x7511e817, 0xf7687f47, 0xf53b4501, 0x74aa1e1b, 0xf72dc6ca, 0x997365df, 0xf3f542c5,
+    0xb3919c4e, 0xb979ebb1, 0xb1928151, 0x3376cd50, 0x6f0c90d8, 0xb5175aa8, 0x825b97a3, 0x1532fa6c,
+    0xa6549229, 0x8ac6b7f6, 0x0e1c7c07, 0x8a6d8fd6, 0x10d0dca0, 0xcd169ed1, 0x022beb6d, 0x4d4775e4,
+    0x84f70dfc, 0xe3ac775f, 0xf748de5a, 0xa0fc5b8d, 0x2a4aa7c1, 0x51dc6772, 0x68c20ec1, 0x88f965c5,
+    0xb6a2de66, 0x411c7ac8, 0x2b66352e, 0x8afd7421, 0xe3eea7c5, 0x168dffa1, 0xde6d73ab, 0x48acf089,
+    0x3f36c16c, 0x27cb62dd, 0x8b7589a8, 0xd746441c, 0x7cc8c518, 0x85f7664c, 0xf2fa7cf5, 0x74480615,
+    0x0bf904f7, 0xdd89734e, 0xcaae3045, 0x3f76755c, 0x6d680ca9, 0xa7c3c2e0, 0xd2f83d3a, 0xe1919930,
+    0xf3696a83, 0x79be6617, 0xab98af61, 0x2f6eedba, 0x21279ead, 0x7e8a26de, 0x6f458e7a, 0xee89e0ca,
+    0xbb19e182, 0x005bf63a, 0x8cce807b, 0xd98ed405, 0xaa8497b2, 0x6835b69f, 0xfbf63112, 0x08352129,
+    0x49037ae1, 0x97c76341, 0x9aec7494, 0x77314838, 0x37f27b0f, 0xa69c1579, 0x24fcb369, 0x55357a64,
+    0x5a9d478b, 0xc3f5b9e3, 0x293565b8, 0x3158d7de, 0x7604e977, 0xc8d32db4, 0x651cbf5b, 0xe7f7cf1c,
+    0xdb572463, 0xdb032acb, 0xa53b1a7f, 0x86b459e6, 0xe348ff34, 0xb1b9f6a1, 0x9b3b1e88, 0xd6b22529,
+    0xf8d0ddd1, 0xe66d5b15, 0x33a76459, 0xda92c0f7, 0x76ef739c, 0x6b19f5d6, 0x0f9c85cd, 0x2566d97f,
+    0x9ab83ab0, 0x9243df28, 0x18407cd0, 0xbdccf33c, 0xcc0bc158, 0x64a89cb3, 0x969de149, 0xaeaf2bca,
+    0x945f6d02, 0x3f908cb5, 0xc045b6ef, 0xf6f445b0, 0xf900fbd9, 0x0a0ac103, 0x38c754e4, 0xdbf776d1,
+    0xe7fd3087, 0xb64e0b38, 0xd991ae20, 0xde52d440, 0x76a3546c, 0x874535c7, 0xd50ee4eb, 0x62f88152,
+    0xed79d451, 0x77dc7e2b, 0x0e579704, 0xe0f2208d, 0x0072e3ca, 0xd58461b7, 0x328866fb, 0x39ed77d5,
+    0x48d544ca, 0x95d40394, 0x7aea4b78, 0x8a1db7bf, 0xc5b52683, 0x3e587e9d, 0x659aedc9, 0x9c6bb49e,
+    0x281f37a5, 0x0e8ca99d, 0x37de2bf3, 0x85c1fa9a, 0xdb368e54, 0xa5ccdcb8, 0xbbd6f275, 0x83aaee20,
+    0xedeed779, 0xcdd672df, 0x7971ad43, 0x58989977, 0x2c4dec53, 0x9139f774, 0x627b2ab2, 0xa90d776d,
+    0x61e80a24, 0xc8ef292a, 0x3f5ed0a8, 0x421abf34, 0x067fc096, 0x9637b882, 0x32b0e063, 0xe2bf99d2,
+    0xb0240ede, 0x1ce1f0c7, 0x683d7bed, 0x5e65625f, 0x9e7483a9, 0xd25dc155, 0xc5db6479, 0x99141d62,
+    0x190c3afc, 0x1110e0c2, 0xdb1c316e, 0x48259362, 0x77e3ef41, 0xc7960709, 0xf6f90f1c, 0x6dab0603,
+    0x801233bd, 0x9dcc0642, 0x8191c5dd, 0x30ac2bca, 0xbb10d724, 0xcdfd1b0e, 0x079bb29b, 0xa74fe293,
+    0x7348663e, 0x68bfef67, 0x9c2c19da, 0xe7150620, 0xe0834976, 0x7f691bf2, 0x51570d06, 0x96c2c8f6,
+    0x7a263cb1, 0xc38b5285, 0xa94caad1, 0x29926192, 0x657be612, 0xba73a536, 0x003ce254, 0x88cd45a1,
+    0x81e26758, 0xe205d9a0, 0xcdc17b21, 0xd17b7679, 0x7202261f, 0xe974bd76, 0xa02cf806, 0x86a0b024,
+    0x6afa8bc2, 0xa3ed52b5, 0x2e002294, 0x49340a7e, 0x495d9681, 0x17989408, 0xd511f04c, 0xb93f00a4,
+    0xb620ea86, 0x5fc31294, 0xdb8816b2, 0xeff83e22, 0x47a43a73, 0x811ebc76, 0x8f676b49, 0x2ec11133,
+    0xf81711cc, 0x6a44a79c, 0x84c3c91e, 0xe2ce68da, 0x713c26a5, 0x432c8793, 0xeca69b1c, 0x65ade72d,
+    0x1b71c182, 0x410b3caf, 0xc468429e, 0x56cca456, 0x54ad54d3, 0x145373a0, 0x7d62f55e, 0x0064369a,
+    0xdb274066, 0x6d302003, 0xb6ef61bc, 0x2eab2293, 0xc0644710, 0x6fcbf622, 0xd59e5e94, 0xd4c010c9,
+    0xdefadaf6, 0xd70bbc7d, 0xfcc95e46, 0x978f12f1, 0x735467ac, 0x1cf33b1d, 0x156ef6ce, 0x25eb2bfc,
+    0xfac57c6a, 0x11269d26, 0xc8f38e3b, 0xe0fe0e99, 0xaebf4ec5, 0xf2721b4a, 0x55bdc811, 0xa7b7cd06,
+    0x3fdcf208, 0xb789fd3e, 0x62591449, 0xbe94b21c, 0xa15acac3, 0x7509b60e, 0x847f88f3, 0x57844c2e,
+    0x884f01e2, 0x60b3631b, 0xd6d20783, 0x365f72be, 0xe727a04e, 0xe7e3ef34, 0x93730a65, 0x1642d14c,
+    0x0c5bde8b, 0x76e110b7, 0x0109072c, 0x404f119d, 0x196923e7, 0x9840a5d6, 0xbd5b019f, 0x1aa30fad,
+    0x687aac0e, 0x7f609179, 0x2df26cad, 0xb36d464c, 0x9a3f4534, 0x5a6f934f, 0x4e5aeceb, 0x8aa1d72b,
+    0x0f02143a, 0xa20250bf, 0x350dffc4, 0xd9fec62b, 0x847d7905, 0x1f25ae4c, 0xac8d0411, 0xcb6fb647,
+    0xa4ef0117, 0x00356c30, 0x116a393d, 0x35361b3f, 0xecf2f019, 0xe45a0a27, 0xa33076a1, 0x7b9ec5de,
+    0x88acb89b, 0x1ded1629, 0xd59c01ed, 0x1daeb0a9, 0xf691d8f7, 0x4c44dfb0, 0xad7da2b6, 0x7f7b9ce2,
+    0x6a815dcf, 0x79f8ae4e, 0xbee0dc5f, 0xe625e319, 0xebcf65fb, 0x80c8d0a4, 0x7d288943, 0x5707d701,
+    0xfa251b50, 0x56a091ad, 0x80575eeb, 0xb70fb0d3, 0x341ac112, 0x576daba6, 0x8ba0f19a, 0x797c8740,
+    0x3c2e78c9, 0x6cb43c72, 0x8a185a37, 0xd9b9f82d, 0xeaef51e6, 0xbd58c058, 0x78868b12, 0x1df4fa34,
+    0xc8999b8f, 0xff3e8252, 0x3f49731d, 0x51c70192, 0xdf0aba48, 0xb31bcff1, 0xf40865a8, 0x401e9774,
+    0x523f23fe, 0xdbfcf0a9, 0xd429f09f, 0x51ab5230, 0xa2ef9f06, 0xbcee4c01, 0x4ccb8891, 0x9921dd8e,
+    0xf49892ff, 0xf204bd3f, 0x6e3cd9ae, 0x8b5d8cd8, 0xd443e370, 0x4a66f331, 0xcd36680c, 0x675de837,
+    0xb2030015, 0x28eeffa5, 0xce0b92d8, 0x81737a82, 0x3c38db4e, 0x45510c89, 0xba36b1de, 0x8edc0c4e,
+    0x9c8a3993, 0xf5e36706, 0x5076a56e, 0x7f3a6c0b, 0xb912a063, 0x25fbb60f, 0x4b19a279, 0x73f728aa,
+    0x248c2c7e, 0x63bc0dff, 0x6e6e8205, 0xcc806569, 0x35a51802, 0xc46a62f5, 0xdb566f9d, 0xd991963f,
+    0xb97b864b, 0x43145ead, 0x0d8204f5, 0x76f3b2f8, 0xc3d99e67, 0x91d07b42, 0x5eaef8de, 0x835d729d,
+    0x07a95bbf, 0x3c1eeb5d, 0x71993d29, 0xa99d50f8, 0x4295a4ab, 0x60c16d44, 0xf370ac2d, 0x1536aad4,
+    0x5596f2cc, 0x21cff032, 0x51a9596b, 0x1e2ec4c6, 0x12bfaed9, 0xd0959618, 0x5792086f, 0xbbe66faa,
+    0xeea0c230, 0x0c1ea218, 0x4feeb7fb, 0xf186d206, 0x941fab6c, 0x3bd4289f, 0xf4ed7c4c, 0xb8dd2dfe,
+    0x41f53a7f, 0x4f58cc47, 0x00013050, 0x85e29898, 0xa9dd03e6, 0x0462eea8, 0xefab4e8c, 0x90053803,
+    0x4fbd0732, 0xce1a2af0, 0x2a53a414, 0xdd674d9f, 0x826feed7, 0x5de7a27a, 0x508e7aa2, 0x8b0a60e6,
+    0x5942fa43, 0x90aec08f, 0xca7f480e, 0xd152e9f0, 0xc8008427, 0x4d3b0290, 0xe3332a7e, 0x3ab54555,
+    0xa95cbf37, 0x135f9b8d, 0xc2cd78fd, 0xb2c46ec3, 0x1a941417, 0x571a3cc1, 0x749f15c2, 0xc6352871,
+    0x94298516, 0xa38f6637, 0xea3f9d38, 0xf8e732ae, 0xc5727f34, 0x25cb03bf, 0xa5cc2066, 0x0881fa90,
+    0xea2055f6, 0x7445b2c1, 0x5fc3ca1a, 0x7c51df92, 0x390a1ad2, 0xd49911d6, 0xad25963c, 0x4faa20e0,
+    0x81c3ba3f, 0x91f39c31, 0x182d8522, 0x54858e5a, 0xbfb6730c, 0x0775644a, 0x4eba8b0d, 0xcb8e665e,
+    0xd522e9a6, 0xa43e4ef1, 0x98f42541, 0xa85eca6a, 0xf5fe296e, 0x59fc25f1, 0x07aaecfd, 0xf706ae10,
+    0xf9ebf9bc, 0x6b349dd1, 0xdda83425, 0x7ee2356f, 0x97baea2d, 0x4f5aa1bc, 0x73e95abd, 0x5d45c152,
+    0x83dc6089, 0xb9e880f7, 0x765d69ce, 0xacc72cb3, 0x2f88b9e1, 0x8b4ab7d6, 0xef082b74, 0x710911ba,
+    0x2fab703c, 0x662511ac, 0x1e9eb5bc, 0x1217ecfe, 0xcc603df3, 0xfe47371c, 0xa5fdbc8d, 0x85731de4,
+    0xfb715c54, 0xe38b191f, 0x1c7416ca, 0x72875f00, 0x0971d79a, 0x15599e84, 0xa7f33c26, 0xe28e6705,
+    0x96a6ae4a, 0xdb0085e7, 0xdc459cb4, 0x67c785d9, 0x24c2fce0, 0xed9d80d5, 0x9dafe88e, 0xcf655a53,
+    0x4d0910d1, 0xa0754530, 0xa3b9d8e8, 0xf202f8d4, 0x0550adcc, 0xd8caaf28, 0xe5ce56d0, 0xb9f1cf73,
+    0x83658a96, 0x4dba15bd, 0xe76d96f8, 0x966bd288, 0x7433b211, 0x02db15a2, 0x4586ed41, 0xac15e1b3,
+    0x81233521, 0xff411823, 0x6f16174e, 0x0273f2ed, 0x094bb979, 0x5506f1f2, 0x51743787, 0x428d2aa7,
+    0xe3a20ec4, 0x4d2ef5ec, 0xe3dd3772, 0x37e8cfc8, 0x99c2f0b3, 0x4d3afa9b, 0x00d62934, 0x07573388,
+    0xb87f1211, 0x77366775, 0x90e5dd2b, 0x4a489835, 0x5560364c, 0x31a053fe, 0x592d852d, 0xc034fe2c,
+    0xa85618a0, 0xf866e90d, 0x60a4abad, 0x71310a91, 0xfb056a2f, 0x4564b629, 0x590fab47, 0xcbcd9988,
+    0x6f8dc1b1, 0x5ec33a90, 0x0fd763db, 0x68ac86aa, 0xe78c0575, 0xc52c31a0, 0xc167d183, 0x70a99487,
+    0xa2c58b30, 0xb658e2ec, 0x01a61495, 0x4da9ece1, 0x13d37135, 0x1a93b5f7, 0xccded6e0, 0x9de4f5ff,
+    0x9d1f727a, 0x26831783, 0x09d46e95, 0x03963c42, 0x3bdfe592, 0xfcf0e937, 0x12b27d70, 0x10b4f1c7,
+    0x357cfb3a, 0xcd9cddcc, 0x7e4d9dd6, 0x3224577e, 0x90263844, 0x09397787, 0xab5781e0, 0xaac70daa,
+    0xa559140b, 0x1c8fff17, 0xc54ba9a9, 0xcef66119, 0xbbaab94c, 0xc8b2802e, 0x483a3a10, 0x34be65ab,
+    0xef17eb5f, 0xbfc5c5e5, 0xf22525b0, 0xcd09c1a0, 0x9e193463, 0x2b267845, 0x3221d767, 0x3b74a945,
+    0xab9e52c6, 0xa5565081, 0x555e6f82, 0xb7a23b12, 0xe639d408, 0x28a4ae6e, 0xa85c7a62, 0x8e5868ca,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000003006134505950506531698535163890351\
+                          39504087366260264943450533244356122755214669880763353471793250393988087676928 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250,
+    0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d18, 0x7a62f99a, 0xf021622a, 0xe0c5c1db, 0x41549c51,
+    0x00000000,
+    0xf7ed01f2, 0x56f0ad93, 0x27e25115, 0xec7b41c1, 0x231365ae, 0xdc1ecf93, 0x95b7f41c, 0x2977ae2e,
+    0x570d4514, 0x6365b91e, 0x59061241, 0x244097c2, 0xf572dc24, 0x98270ec4, 0xe043eda8, 0xa17e5637,
+    0x67b2fb55, 0x2e24cab1, 0x11735430, 0xc32b58d7, 0x2ccb5f87, 0x8f2c5e05, 0x2a6dab28, 0xb4a9400d,
+    0xf5760b43, 0xc92bcccd, 0x916bcbd9, 0x572aa69b, 0xc4b5cdb8, 0x171e7199, 0x5313dd6a, 0xde923606,
+    0xc374769f, 0x0d68ed27, 0xff2237ca, 0xdc0d9363, 0x29678f29, 0x6d1c1b46, 0x08409c57, 0x6eed4f0c,
+    0x62c7ea50, 0x37e276fe, 0x585a029d, 0x0fcdb6b4, 0xb1441508, 0xefd2f363, 0x397489ac, 0x22f96960,
+    0x3b634c2b, 0x99d1b0d8, 0x7eb19963, 0xf12df422, 0x8d7457f4, 0x664a1769, 0x4e3879e0, 0xce046abd,
+    0x5be39979, 0xc1043a26, 0xd885c901, 0x8c027337, 0x4dcc6d76, 0xa873331d, 0x67dfc141, 0xb2b2ccd0,
+    0x762e3d56, 0x1ac68715, 0x8a9bacac, 0x84090ff5, 0x89223b78, 0x77de77f9, 0xcfbd043e, 0x2734632d,
+    0x0455331b, 0x691f8695, 0x684aef3f, 0xe4805afc, 0xaf830270, 0xdbf6749b, 0x9b9af5cd, 0x7114867d,
+    0xab2cff6e, 0xc6ae09c6, 0x95b3e2da, 0x8c355703, 0xa382361a, 0xd96ee46d, 0x3c121c1a, 0xcd811a95,
+    0x1d33920e, 0xfa6d157b, 0x1dd59a06, 0x444ff639, 0xed9e445c, 0xa58efbe9, 0x728b86ab, 0xc7cc0ae7,
+    0xdfac3631, 0x9cb197b2, 0x524177ef, 0xc25da1a5, 0x8c03739c, 0x04e8d674, 0xcc2ec69c, 0x5c9e1365,
+    0x6b4573b8, 0xf28f87d7, 0x34f39aa8, 0x7e80fa81, 0xf0ed7b37, 0x907b338b, 0x89d30fb3, 0x6ce4b7f8,
+    0x0f019d24, 0xd341f40b, 0x3ff5ab3c, 0xf5057745, 0x1df5f775, 0x0184c444, 0x876a4a8b, 0x7aed460e,
+    0x02ff494b, 0xec1d92a8, 0x55ddd1a3, 0x98efea89, 0xa01bf950, 0xbacc4c9c, 0xf1da7cff, 0x7e917e0e,
+    0x89e76dc5, 0xae11c9b5, 0x58ea3be7, 0x520604e6, 0x1fb3fadf, 0xb98101cf, 0x02edb0d5, 0x837eb059,
+    0xce489f3b, 0x4c09be6a, 0xed0fb1fe, 0x963e74e2, 0x08b10339, 0x6af48671, 0xaaf5decc, 0x1110d5fd,
+    0x51361332, 0x73c98b81, 0xc1da35f4, 0x138a1fd1, 0x019457b3, 0xd78a7221, 0x871285bc, 0x7b124370,
+    0xf23e625f, 0x5873a77f, 0x0635eadd, 0x8989fd81, 0xe4fb30ed, 0x35276712, 0x9bbe2bc3, 0xc712531f,
+    0xf52821a2, 0xba66ac89, 0x39c19cd1, 0x031d5e3b, 0xbc45897a, 0x7e5924f9, 0x148eaee4, 0x0e0b1d17,
+    0x2a38cdfc, 0xcab1d337, 0x166c1c49, 0x0898a6bd, 0xac595765, 0xf5a7213a, 0x5b9b5ed9, 0x8d821aaa,
+    0x8f09705b, 0x8c5feacd, 0x28d4b585, 0xfdde2a27, 0x83c0f2a9, 0x029af71a, 0x1d6f96b7, 0xb96b5bcf,
+    0x1387a9bf, 0x4631a16e, 0x8b833def, 0x14e878b3, 0x16d022e0, 0x97c66422, 0xda316a35, 0x8ec4ef1b,
+    0x497d8cf2, 0x5050de05, 0xa9575e2c, 0x67715989, 0x21927fe5, 0x8fefa178, 0x5a75b425, 0x3c65c595,
+    0xf6d006d5, 0x6ccbe0a2, 0x6f30d07a, 0xd2700a99, 0x1f7e9023, 0x1e919125, 0x7eb37a31, 0x3364e175,
+    0x0acbfb56, 0x1bbdeb8d, 0xe679eb51, 0x84842688, 0xa1870e1e, 0x34f34bef, 0xbb31bcc0, 0x4e784b32,
+    0xc18c574f, 0xf1437bbf, 0x7655f2fa, 0xa5147a0b, 0x672d7b49, 0x414a66b3, 0xcb61473a, 0x85f30d59,
+    0xf01f972b, 0x9a9f3369, 0x5d4995af, 0xea1996cc, 0x59224f15, 0x7d089dde, 0xfa5d0f5e, 0x43c6856a,
+    0x90bb3dbb, 0x31c639e9, 0x0517b221, 0x7d98e8ca, 0x38c112a2, 0x607e1beb, 0x25f95b09, 0x97049dc3,
+    0xa0f122e8, 0x2ee44378, 0x8b2e11f8, 0x318b4b1d, 0x754774b3, 0xb6e19cfb, 0x91914976, 0x5d90e443,
+    0xce98ce32, 0x87feeb56, 0x7be5ab21, 0x0cfa2cad, 0xb0c42f28, 0x80f105fc, 0xcce2de74, 0xaf07c99f,
+    0x427fb606, 0xd6a7f2c8, 0x67b95056, 0xc5d263ee, 0x537dfe2f, 0x1c5c44b6, 0x23fc28d2, 0xe276d73f,
+    0x958d00bb, 0x3a5fae4e, 0x8b53cd94, 0xb6c5feea, 0xc26c358f, 0x27f56a93, 0x2ce0f13b, 0x253cb6dd,
+    0xca13e8a7, 0xc5da9957, 0x65697c56, 0x1de45c19, 0x46856d96, 0xf2f2758b, 0x0b3a6c54, 0xfd63a5a6,
+    0x88fcc576, 0xb1f074d0, 0x11d9e3f0, 0x8d993fbf, 0x17d0c46e, 0xcd19c791, 0x54830ab9, 0xb4b244e8,
+    0xd643dc90, 0xa1be60eb, 0xb3a8a1dc, 0xac825cf5, 0x62a326d6, 0x6d71ff78, 0xecfbd8da, 0x2e8c7e81,
+    0xc47e7029, 0x514faee1, 0x5b8aabaa, 0x4741dfaa, 0x45b078d8, 0x6ec211ef, 0x9988ad1e, 0x123ba776,
+    0xd1f76c44, 0x4da212e4, 0x7afff633, 0xea21d5c6, 0x6b678c90, 0x53902a82, 0x71d4357a, 0xc103dc72,
+    0x2df243eb, 0x6c0459cd, 0xa02e937b, 0xd14506e0, 0x40239afb, 0x65ddd949, 0xe12edafe, 0x6942dba7,
+    0x95b30904, 0xea9f788f, 0x194b3fbc, 0xe7a6ed4c, 0x33bc44df, 0x995603b3, 0xf9316a81, 0xe0d336b3,
+    0x59511af0, 0xc488387c, 0xc5d87075, 0x4bd19eb6, 0xc8935c7c, 0xd8cadf07, 0x13c82207, 0x5a9d1391,
+    0xc0125347, 0x748457aa, 0x6033f5e1, 0xde0d743d, 0x3a0c88c7, 0x2e29bcf8, 0x975fc428, 0xaf49a40f,
+    0xf6bc93ea, 0x3c332a2d, 0xdf7c0a05, 0x74de76cb, 0x285c2057, 0x29fb0152, 0xd4daea00, 0x0e37b4ec,
+    0xc6e70da2, 0xe3a6930d, 0xff37b741, 0xcfcbf2b4, 0xdc6515b4, 0xca9273d8, 0xf38230cb, 0x58de8cd5,
+    0x352272b3, 0xd29416bf, 0x3450ec98, 0x3aedf66c, 0x0d121364, 0x90a98a99, 0xcdb6fc30, 0x5b4cd5ca,
+    0xef1f6ba6, 0xc03c3c59, 0xcd40b2db, 0xa3be96fb, 0xac074527, 0x4f00ff85, 0x4543129a, 0x640cc7eb,
+    0x552fbe18, 0xf0ea6a76, 0xb4397016, 0x7b779dde, 0x1ef7bf8f, 0x1cb5d6ce, 0xa9a00a07, 0x057a9c73,
+    0x1d0869d0, 0x2bee65d9, 0xfae86947, 0xa43e3fcd, 0x777f224e, 0x9de96a18, 0x82066058, 0xde65a02e,
+    0x9e10e007, 0x51dd6f68, 0x81af7b2f, 0xb5153c9e, 0xa139fed7, 0x5caa7a83, 0x2cf523b1, 0x62bb0532,
+    0xb2e37164, 0x31d44ef1, 0x7b70a5c4, 0xed4bcee8, 0x6e840ceb, 0xd75b4a32, 0xf0245e89, 0x8fecc2b3,
+    0x88c8bb2c, 0x9c1a2eb4, 0x9dede3f8, 0x755f34ef, 0xc6fbbe64, 0xdb1797c2, 0x5488a80c, 0x8619a1d3,
+    0x83c9b212, 0x7eee3ba5, 0x073e415a, 0x66df0b84, 0x1614124f, 0xaa163896, 0xf66fc1dd, 0x64f3748d,
+    0x2898c2c1, 0xd36ce157, 0x863893eb, 0x2d7e9e71, 0x5766ded3, 0x70372f2f, 0xa0f15df7, 0xa647b75d,
+    0xa6bfa389, 0xbb5c19b0, 0xb872605d, 0x47152660, 0x0e53ca86, 0x50183426, 0x94275a3d, 0xc0dc4794,
+    0x5b5dbbfc, 0xa1ce9da1, 0x0f317b00, 0x05768600, 0x06b02256, 0xba100e34, 0xf3345986, 0xae8959aa,
+    0x605fc1a1, 0x9b1d8633, 0xb15a7a97, 0xd17de756, 0x3172d2fc, 0x5edd12fd, 0x53dc33ee, 0x0398376d,
+    0xee4e8401, 0x34a3359e, 0x48803de5, 0xc51db5c8, 0x20eb68fa, 0xd8540854, 0xd8bf2e52, 0xf908a254,
+    0xb66f8a1a, 0xc81fbb7d, 0xd4b19545, 0x5dfb1232, 0x624bd7c4, 0xa1710682, 0xe19fa549, 0x48b925e5,
+    0x1f9bea7b, 0xad9ffa95, 0xacb7bccd, 0x894aaef6, 0x7574fa3f, 0x98e66e87, 0xbbd7bcb0, 0x00748a92,
+    0x3bf9570a, 0x19f31b8c, 0xf8514bf7, 0x3bce92e0, 0xd4f51c9a, 0x5791f0d9, 0x3ed367b9, 0xa4a49e30,
+    0x16478a0b, 0xf0964eac, 0x7efbbaa9, 0x71267c7c, 0x273efec2, 0x726b5c19, 0xb9f28de2, 0x1b3ad3a7,
+    0x04c012ac, 0xc12f7e76, 0xcf9e1933, 0xbbce73a1, 0x89dc51c3, 0xd9b6e09b, 0xdb62ffcf, 0x53bc84e0,
+    0xcc7e2a26, 0xb60d853e, 0x4901e2a9, 0xa2c20493, 0x9c711065, 0xa43a6aa6, 0xac92921f, 0xf4872deb,
+    0x97446cfc, 0x3e209bec, 0x853576a5, 0xfa758e95, 0x59f299dc, 0x8d392e14, 0x89b92a92, 0x134e3a5a,
+    0x20ce8f42, 0xa0d51952, 0x2ff660aa, 0x9336182a, 0x22151bbf, 0xc47f1547, 0x40ba48b7, 0x51c65f50,
+    0xe68b6221, 0xa277958d, 0x176ed5d0, 0xdfd73482, 0x0ef11d9a, 0xb639a1e8, 0x3da50830, 0xc0eb69fb,
+    0x0a9243b9, 0xc41b6106, 0x2276e4b9, 0xfba6e925, 0xd3f032a5, 0xd73bd83d, 0x04277e54, 0xe5ac8718,
+    0x7b4dc7cc, 0x3322d1e4, 0xe25951ea, 0xb005dccf, 0x7dd2c5ce, 0xe8963c97, 0x4c0f6f50, 0x4e7c3a42,
+    0xfc4393aa, 0x41241338, 0xf3e351bd, 0x223c04f2, 0x4d7dfd11, 0xb1b7223b, 0xeb3b0daa, 0x70723b0c,
+    0xccc4087a, 0x82944997, 0x23b0e308, 0x183470d9, 0x5878049f, 0xcfc083b3, 0xa9df3b7d, 0xda8b623b,
+    0xfb8c1135, 0x410483fc, 0xa4cfc711, 0x85b458f0, 0xdceeacf3, 0xe508514d, 0x6c4abc0d, 0x44c06304,
+    0x5e0eb1f8, 0x7430a294, 0xd2f4eca3, 0x61f99b7d, 0x446076ae, 0xd207b930, 0x4e5fd1f0, 0x42a1c703,
+    0x7ebdd8e3, 0x40f25345, 0xea1f8f87, 0xbbd61699, 0x2c3d5b66, 0x2c72d241, 0xf54daf20, 0xa6db1d43,
+    0xc449f0b2, 0xe9d92878, 0x82bd7d33, 0xe3405463, 0x2a048de1, 0xd8be02d9, 0x73705a44, 0x5f9d7304,
+    0x8668bf9e, 0x81f685e7, 0x356c5ea1, 0xe73a75d0, 0x3725a217, 0x9b56688a, 0x41a46691, 0xee9fd682,
+    0x8c3508ea, 0x8e41de5e, 0xbfbbe8f5, 0x46948d6e, 0x486cdbd8, 0x877f60f8, 0x2b46e46c, 0x9b707213,
+    0x455c6c55, 0xa9f3758a, 0x4d5c45fc, 0x77d7c05f, 0x352fd9aa, 0x2242f6dc, 0x8e8a68f3, 0xf6b0c521,
+    0x721b4623, 0x61f6e6ac, 0xea292df4, 0x37a49e44, 0xfb98a715, 0x93b69c62, 0xa81bbae4, 0x02545805,
+    0xf42ab60a, 0x451eb0d9, 0x594386ac, 0xe76b26b1, 0x4c113906, 0x9b54359f, 0x18e04682, 0x6a206e82,
+    0x8cfe8ee6, 0x9efea6df, 0x07b96e36, 0xebacb881, 0x10dcb9b1, 0xb1f7325f, 0x3c7fe174, 0x8e6eee18,
+    0x69e325c3, 0x758870aa, 0x94e622c2, 0xe017ada7, 0xa213d19b, 0x7b5b359b, 0x16faec41, 0x1866df63,
+    0x8b0c2e54, 0x41742389, 0xcf24104d, 0xa20d401a, 0x798a6ac9, 0xc768dad1, 0x5480d634, 0x47a1faf4,
+    0x92d9977f, 0x5289fac1, 0xca968213, 0x451c4a88, 0x10061760, 0x2452fd42, 0xe65f76a9, 0x0544d7df,
+    0xab83446e, 0x4678ff7c, 0xfff39108, 0x3d5d26a9, 0x8482033f, 0xabb512ae, 0x28ce673e, 0xd18296bd,
+    0xf186864e, 0x39ce4d9e, 0x3818bfed, 0x06f5b126, 0xc677b506, 0xf013c12a, 0xbbc59d9e, 0xab76c67a,
+    0xb91bf7e5, 0x39f5d52c, 0x78b06ffc, 0xb9bd8d28, 0xcbab0059, 0xac9f6cad, 0xdd266341, 0x5f5953db,
+    0xc06d9f3d, 0xfad0e4be, 0x788eed0b, 0xf42196db, 0x9767fbfe, 0x54440b7b, 0x256a6b28, 0x3439fbad,
+    0x3d32f0c5, 0x08516986, 0x37359188, 0xae3e9c7b, 0x745d8e27, 0xbecece82, 0x23ede600, 0x9b610326,
+    0xc1563990, 0x7db5bcab, 0x055bc2d6, 0x65a5fd97, 0x76cde858, 0x0d469189, 0xb5d15f0e, 0xd1caf57c,
+    0x00b38934, 0x7a338bad, 0x6cb0e9b9, 0xd1515060, 0x092a424f, 0x504daa7f, 0x87b73581, 0x6979d87c,
+    0x3b2ceb71, 0x6675964b, 0xff73a9fd, 0xc9834f1e, 0x866e685b, 0xa659d352, 0x9023d53c, 0x892e9020,
+    0xa919a31d, 0x136f1a87, 0xc1e0af3e, 0xc81c443e, 0xe7f7e29d, 0x67f91f4b, 0x2721a751, 0xdfb15272,
+    0xf818085b, 0x944d54df, 0xd37f2d20, 0x3a85310e, 0xf154e1f5, 0x6e88f895, 0xa598983f, 0x7dddade7,
+    0x9ff4f956, 0xbe36d580, 0x4ebd300b, 0x7fbfc65a, 0x13acd15c, 0x1d05abe7, 0x4e7dbe88, 0x2430b4a9,
+    0x24548c7e, 0x8bec661c, 0x816c01ce, 0x1a5a1a58, 0x22b5aaf4, 0x80fdf011, 0x8ce6b083, 0xed4f4b54,
+    0x12b7090c, 0x817ecc0f, 0xea4a2957, 0x7f6e0f92, 0x31ab34d8, 0xca72aee0, 0xd68138b1, 0x1b184820,
+    0xd2937a05, 0x64ede9cb, 0x7856eb84, 0xce9675c4, 0xa7f7fa1a, 0xd2ad6382, 0x81b4f86c, 0x45a869aa,
+    0x45dfb54f, 0x7b99937f, 0x04c37668, 0x5ffe1064, 0xfec0f6a8, 0xe92542ab, 0x782c62a7, 0x3cb910ad,
+    0xba40c59f, 0xa87aab54, 0x487bef45, 0x7f698b6d, 0xa6c7e5b6, 0xb9429d59, 0x96908269, 0x65c30a82,
+    0x912160fd, 0x59f13771, 0xf82ad715, 0x0502da70, 0xfe7997c7, 0x3418d5fe, 0xe0c61575, 0x49b00704,
+    0x9bff6907, 0xb44c28ef, 0x6da01b37, 0xcb6534af, 0x39ecb583, 0x9e369a3a, 0x1f63a6ee, 0x290f660f,
+    0x572d45aa, 0x8a35ab82, 0x3ac06917, 0x8252fed6, 0x2672ddf5, 0x28271c87, 0x5daa0922, 0xc3f34858,
+    0x6ae9bd31, 0x14eb7ea7, 0x078ff9e5, 0x9f31fc69, 0xd5e3f2c3, 0x4083d163, 0x35d09b2e, 0x1a7e01cc,
+    0x54e6bfb2, 0xfd82fad7, 0xd6ba97fc, 0xde417e5a, 0xb833c826, 0x1177ba46, 0x5988748c, 0xb33ef06e,
+    0x74a869e4, 0xb86a0d96, 0x5a2ce2e3, 0x6f1f3c3f, 0x46f6bb4b, 0x1fc30774, 0x8e42b107, 0x715188b0,
+    0x5c7cae43, 0xf7c5b06a, 0x4e248f14, 0x3570fe11, 0x1085f615, 0x9eeadbde, 0x1a7a87f7, 0x075661f2,
+    0x6d04580b, 0xb52d3549, 0x876c4726, 0xf85c63ea, 0x7bbbb8a7, 0x0a0d0d22, 0x715f15e1, 0x4b4c1782,
+    0xa34f518a, 0x4b2fb018, 0xa85201d1, 0x144e89f2, 0xbe3d9c75, 0xdc841666, 0x7a5289e8, 0xb09c8fef,
+    0xfa58b0c2, 0xb54f2d7e, 0x7822a9a9, 0x7ff5d6a5, 0x60a0d4ef, 0x449437b2, 0x33b3389c, 0x95f642c8,
+    0x616616f1, 0xaa0882f0, 0x7ca06add, 0x278b4036, 0xd818648e, 0xed5cba8b, 0x3c710d3a, 0xe1ff9156,
+    0x5f4e6a66, 0x8763698b, 0xd9f05ed5, 0x03086d05, 0x9413a59c, 0xdb43fb53, 0xc41511cc, 0x960dc780,
+    0x43be13f8, 0xf0fe1334, 0xee871080, 0xf7be8bea, 0xdfd58103, 0x46a9a85b, 0x3ec7423f, 0xcd4eda62,
+    0xd1cbf589, 0x3765f770, 0xe331d0b3, 0x176154aa, 0xe4fb16be, 0xb5fc4de6, 0x5e179417, 0x5cd23db8,
+    0xbdc6b047, 0xed65bd50, 0x687d26c1, 0x78b3e6c8, 0x14ea5f2c, 0x39080121, 0xcf85603f, 0x6664c624,
+    0xf972fb01, 0xc2d60b4c, 0x36cbc2e1, 0x3397dca1, 0x574af09e, 0x95bccd3a, 0xe39eed4e, 0x94b5e009,
+    0x071397ba, 0x111993e8, 0x40f11127, 0x33416518, 0x57a84bb7, 0x02257410, 0x60c9fd99, 0x5893e589,
+    0x27cb9415, 0xbe8b1478, 0x8e095932, 0xa3dc8411, 0x72b12cb6, 0xca0ceeb2, 0xef16a2ba, 0x47b302d8,
+    0x9712841d, 0x0e271a36, 0x9c661fcf, 0x3fbdf5b5, 0x2fc7f6da, 0xf58c2272, 0xec5e12a2, 0x5642372f,
+    0x0a2ce3b7, 0xf4a6673b, 0x3277b66e, 0xcd9be0ad, 0x6e3ecd68, 0xf1a41010, 0xb405d2a2, 0x540026e3,
+    0xc3979799, 0x52b4b278, 0x940c83c9, 0x50a535c7, 0x941d5559, 0x54328015, 0x6f87ae91, 0x65ba6945,
+    0xb3e5b711, 0x5497c9b6, 0xe15ee0d5, 0x55a04518, 0x2c38b2f2, 0xba28f1ac, 0x3cc5c3b5, 0x526e695e,
+    0x7ef4fa12, 0xa9c853c2, 0x7dbe1224, 0x933d5611, 0x0e3f1cc2, 0xb37c0553, 0x3f1592c8, 0xf61951b1,
+    0x10755ea3, 0x3a4f64e9, 0x9a0b5cc5, 0xd10dc093, 0xf04b8f70, 0x3f657223, 0xae73cd29, 0x12c0ba1f,
+    0x0a6491d1, 0xf5db8b83, 0x9c4c2ae6, 0x38e084c2, 0xbb5e4824, 0x534001d5, 0xc19ba03b, 0x0c0ced36,
+    0xbfecb1a1, 0xf4495219, 0x7168e459, 0x5591192f, 0x8a65c6ce, 0xcb2716e2, 0x4f115674, 0xa676fc7d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000001503067252975253265849267581945175\
+                          69752043683130132471725266622178061377607334940381676735896625196994043838464 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928,
+    0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8c, 0x3d317ccd, 0x7810b115, 0x7062e0ed, 0xa0aa4e28,
+    0x00000000,
+    0xb2244d89, 0x8b00dfa8, 0x53291e23, 0x5f3dd203, 0xa62e027d, 0xc7c7ec42, 0xf0028bde, 0xf8e9fe9e,
+    0xd7659d3d, 0x06e8d392, 0x27b6003f, 0x9107714a, 0x157209ac, 0x100e73af, 0x1dfbfda3, 0xd9a88434,
+    0x7437f436, 0xacfc909d, 0x2d384873, 0x72d7324d, 0x9cdd7b08, 0x1de3fedc, 0x69c3c69a, 0xcb33fc5d,
+    0x2e76078d, 0x4e6130e8, 0xd1664dde, 0xd9842803, 0x1b71402c, 0xf2599b6c, 0x8077e8e1, 0xd71b24c2,
+    0xe894ba81, 0x0abf5da9, 0xc4f2a97e, 0x438d2b36, 0xe3018c1c, 0x15035d4b, 0xb6feb1c3, 0xb7aa1220,
+    0x1435480b, 0x1f2a4002, 0xc987b6bb, 0xb7fe8885, 0xb8a16b93, 0x650282b6, 0x01a22117, 0x4012491c,
+    0x3223d4b1, 0x5fdbda39, 0xd5a6574a, 0x7f8a6257, 0x1ef4cbc5, 0xbacbfddd, 0xc495c9b9, 0x08ac77bc,
+    0x071ac37e, 0xe4d8fd7c, 0x947a5448, 0x80b8ca96, 0xecc228f6, 0x64c7b7b1, 0x09f91a75, 0x6dcd3892,
+    0xe51fb310, 0x5d9fcfa3, 0x92f8bc83, 0x0dc6ba7d, 0xc8729c54, 0xbab543aa, 0xf9a43e76, 0x756b5fd4,
+    0x5ef0e901, 0x087eb06b, 0x3a6c3379, 0xf9d19867, 0x8d1520bf, 0x623291b1, 0xaef0e25a, 0x3b273360,
+    0xfa88a5a6, 0x7e1ee280, 0x2fc84871, 0xe3809709, 0x0c5b720e, 0x528873a1, 0x072c13bc, 0x5b59951b,
+    0xa4eb1fd1, 0xa5ade0a0, 0xadb1224c, 0x4eca5f6a, 0x8b27ce7d, 0x559eb6b4, 0x18e8987f, 0xa8d377c4,
+    0x7156a72a, 0x8c55741b, 0x7bd96c4e, 0x9ea5b63c, 0x68267c9c, 0x5f183132, 0xb07239a8, 0x6e68a8fe,
+    0x6cde16f1, 0xaae6b895, 0x8ada469c, 0x00edcd1b, 0x905edc9f, 0x3ddf2a70, 0xb3a975ca, 0x15918859,
+    0xf28ba03d, 0xb730157a, 0x6ff35cf9, 0x012f7455, 0x93c1cff5, 0x33b185ed, 0x056dc1f2, 0x4b270998,
+    0x1d0cc410, 0x1af3f1e9, 0x353ef4d5, 0x44877e0d, 0xacf4ec93, 0x38ccd142, 0xcaa9e21b, 0x45a991a8,
+    0x892bf0c2, 0x70497c32, 0xdc2ac895, 0x467c4f79, 0x97e0c3af, 0x2f12b133, 0x99d4c7df, 0xe32a9cd2,
+    0xb4f2b5d9, 0xfc1ad2ef, 0x298ad34f, 0xb2df3006, 0x834724fa, 0x4472f95b, 0xaa5b5216, 0x9341e46e,
+    0x9b2166a6, 0xb9d4a59d, 0xccf4977d, 0x84919811, 0x786bd507, 0x857479b4, 0x77bbc923, 0x1b326268,
+    0xfa7e600d, 0x13d4fe90, 0xdcfe00ee, 0xf1503d72, 0x55ffe33a, 0x0211b204, 0xd8ee9e04, 0x9dcd3c5e,
+    0x3d80544d, 0x138707cc, 0x89a3d63d, 0xe67337f3, 0xb78a10a0, 0x23dc380a, 0x773066d2, 0xfb7c49d0,
+    0x2bd45b49, 0x2ec45239, 0x44ff7086, 0xd05eb492, 0xe8379a32, 0xacd408d5, 0x356f2f09, 0xb917e85e,
+    0xdb23ebe5, 0xe6f86716, 0x3206cc04, 0x819fe053, 0x50e3ed4f, 0xa5645827, 0x9649477e, 0x127f5860,
+    0xf4104795, 0xd7cc2409, 0xac42e0b3, 0x955030ee, 0x1a831c1b, 0x7b7c3a06, 0xced42f23, 0xdab875f0,
+    0x9317916e, 0x3e99566e, 0x6e656b82, 0x5abd8072, 0xa5736a8c, 0x7902de3d, 0xa0d66f25, 0xb23a0674,
+    0xc8a91812, 0x6c28aa0d, 0x2b2ccdbe, 0x7f4f1ea5, 0x1382d483, 0x577c9066, 0xd319136c, 0xc2d06b25,
+    0xd28e0cf0, 0x22b9f500, 0x0f681be2, 0x01afe952, 0xd22234de, 0xd83afe38, 0x371359a3, 0xd6dd17e2,
+    0xe7eea70c, 0xe275bcff, 0x0a7fc0d3, 0xf0db430d, 0xf5e46b5d, 0x7e48a4dc, 0x50423f6d, 0x5571c873,
+    0xb4124cea, 0xaa620fa5, 0x63b40be6, 0x0a7dfe9c, 0xf2b9a038, 0x4a25b1e5, 0x623e68d5, 0xb0e72740,
+    0x86eeff8f, 0xada4d87f, 0x9506f51d, 0xfabd6ec2, 0x613479ca, 0x347d406d, 0x2e5ccc51, 0x6e6dc606,
+    0x8959ebc6, 0x489544f6, 0x522c7b44, 0xf2b74686, 0x73e36df5, 0x7a55c36c, 0x7d4b02e7, 0x4fea1a38,
+    0x96a875f9, 0xef4dcba5, 0xbbd2637b, 0xbcc70f69, 0xd14e4615, 0xf794bc7a, 0x061a8872, 0xea471851,
+    0xa5620592, 0xb3f13afb, 0x648eb8ec, 0x208dd2ab, 0xdc10ef3b, 0xe425cf5a, 0x41c0e62f, 0x8245e31a,
+    0xc5f065e3, 0x20f5cd41, 0xf06d24a8, 0xf1b64427, 0xc39ee427, 0x9561a23b, 0x41aef12b, 0xa29c7964,
+    0xd274dd77, 0xe793ab1d, 0x6bd5f039, 0x35d7dbf3, 0x649bbe36, 0xa748eabd, 0xda1b7961, 0x0c16494c,
+    0x68e55f8e, 0xe2ff6cde, 0x457464aa, 0x33fb6684, 0x2d402cda, 0x4019c2c6, 0x3fcec5f2, 0xdc05b550,
+    0xac27f69c, 0xe90b9e52, 0x985f014f, 0x9219e792, 0x8b732375, 0x66fa8ecf, 0x162088f7, 0x78deec63,
+    0x3f33aeb4, 0x3f640ede, 0xd2ea1350, 0x54acbf86, 0x43a3813a, 0x2097a0ab, 0xdad89b94, 0x9e6ea984,
+    0xa7abff79, 0x739178c7, 0x67f72de2, 0x324d3f11, 0xb13fa589, 0x12970fab, 0xc7feccb7, 0x06d338ac,
+    0xd5e103be, 0x02553401, 0x4fdbc203, 0xb2969c8e, 0xeb366599, 0xef9279e6, 0xf12f8495, 0x18215221,
+    0x2206a503, 0x803eb9af, 0xb055f745, 0x1415e196, 0xb013b9e4, 0x2577fad1, 0x33641ca9, 0x0b319865,
+    0xaa53c2d1, 0x30df5215, 0x707d44db, 0x6fd8bc04, 0x24c9ba9f, 0x24816f26, 0xfaae1394, 0x70e0df47,
+    0x1016b44d, 0xba37f5f4, 0xac422e6d, 0x15394198, 0xf6a6d478, 0x4959a7c7, 0x5dc521e8, 0x75affece,
+    0x1864a7ef, 0xc4790863, 0xb442040e, 0xba5ede24, 0x186bd4ba, 0x1b4335de, 0x542c85e6, 0xc56cde4b,
+    0x36231689, 0x5830dbd8, 0x7bde9032, 0x2becce7e, 0x36950e92, 0x9a8d6b87, 0x5399a897, 0x73bbab99,
+    0xb93e4b6b, 0xb6dafebd, 0xadbb074f, 0xe0cadcf2, 0x71fa79c2, 0x0d859014, 0x8b0a55ac, 0x3e3f1c7a,
+    0x31a5e18b, 0x847630ca, 0x50d32494, 0xc8b0bc61, 0xf033f61f, 0x18ab0e0a, 0xcefe94c2, 0x6fc16eb0,
+    0x16512b43, 0xffa24fe1, 0x7a3434ff, 0x0b832d0b, 0xdb050774, 0x39a1c114, 0x62d9ebfe, 0x1f184025,
+    0x059b7d2d, 0x91ada925, 0xc11dc0ed, 0xe2ed0931, 0x0e1e86da, 0xa76288c6, 0x26be54a7, 0xa3307cc9,
+    0xfce38e7c, 0x3d0364f9, 0x26e033a9, 0xe660e48c, 0x823a5791, 0xb7f8989b, 0x651092c3, 0xa05f886a,
+    0xaff6e4be, 0x9bb728db, 0x8ec3b25b, 0x41fe54aa, 0x4b6f794c, 0x95a9322e, 0x410ee8a1, 0x6a535434,
+    0x2addf6f5, 0x4018ce95, 0x3cfcf21f, 0x08ee52e0, 0x878bc709, 0x2a668190, 0x80a45aee, 0xffd364a7,
+    0xcc94757f, 0x9620a1c6, 0xbe77f5c9, 0x0bc2bfd0, 0xb9bf11ee, 0x7ee45025, 0x18249748, 0x923e03ce,
+    0x481c0554, 0x3dfa726a, 0xd91bf792, 0xd87f5acd, 0x36505cdc, 0x1f6d61b8, 0x73468261, 0x3df757f7,
+    0x4d89c2cf, 0x666509e2, 0xf994fd14, 0x2e3d438b, 0xad537986, 0x7890afd6, 0x2a92d12f, 0x8d59623b,
+    0xfab72824, 0xfcd900f5, 0x7a983d04, 0x928c26cc, 0x4b9067c8, 0x24d96106, 0xed669d40, 0x1fca4868,
+    0xedd51cf8, 0x96c1064e, 0x8358e735, 0x5032f2f8, 0x0416b153, 0xefd67d7e, 0x4fd7abe1, 0x8810147d,
+    0x88ec0ceb, 0x769528a7, 0x269e1401, 0xa23dd8dd, 0x07568fab, 0x7951260e, 0xb988310c, 0x69601e77,
+    0xd37b586e, 0x52d707f6, 0x1e42fd31, 0x8354b025, 0xa1cd5f23, 0xf395a911, 0xfbf91d44, 0xcccd78b8,
+    0xd1105514, 0x758996df, 0xc7c3c9d8, 0xe69c36cb, 0x928e260e, 0xa960abd5, 0x45ca2a8e, 0xb0203e13,
+    0x851c55d2, 0x37a45392, 0x482cfa21, 0x94e39064, 0xa826004d, 0x77c881d0, 0x12265e36, 0x4424061f,
+    0xbd006c68, 0x49abad9f, 0x6f7c4765, 0x8c2c3ae6, 0x10e2b1e8, 0x043cbcb9, 0x27f35f56, 0xa81a2ebb,
+    0xf3fe324c, 0xf980249c, 0x8a88ef06, 0x2b6dd711, 0x036a8318, 0xd65cfcaf, 0xfedf3a3a, 0x71c9eba4,
+    0x93885230, 0x0314b9c4, 0x3831c488, 0x5711d207, 0xc6ab196a, 0x630b55e6, 0x86f17185, 0xe8902d03,
+    0x48117f0e, 0xbbe52258, 0xa5b94af3, 0xaca37aba, 0x860779c1, 0xe78500ad, 0x338dc488, 0x493ef8cc,
+    0x6b002546, 0x7967b732, 0xd9da66ae, 0x0ebc0f79, 0x685dfe27, 0x063f5ec0, 0x4472b1c0, 0x2259f2d5,
+    0xb5102cbc, 0xb66d70d1, 0x02b34f90, 0x238fe89d, 0x03136dfc, 0x66c304e1, 0x96ae0ac7, 0x1cd21d3d,
+    0xef60beae, 0xf478cea6, 0xf7e637ca, 0xd6acae4c, 0xb77319fd, 0x61c0546a, 0xd17456ce, 0x3a9d6ba6,
+    0x7d76a9a1, 0xac3312e3, 0xc55f8001, 0x5a732ff1, 0xa00b51e3, 0x4ea4da4d, 0x566fa935, 0x09e86866,
+    0x6ff097cf, 0x3b790326, 0xb4ccc7dc, 0xb99effd4, 0x049ebea1, 0x288684f7, 0x581a6902, 0x435c26d7,
+    0x36eef672, 0x851cfbdc, 0xb762987e, 0xddfe3388, 0x45d949a8, 0x53cb1233, 0xc959b46b, 0x1efd40e9,
+    0x81b85dc3, 0xecf59e37, 0x7ee10907, 0x303cbc73, 0xc2763c47, 0xd23c41d8, 0x3ae08523, 0xb962d863,
+    0x2eb3655f, 0x43942dbe, 0x8f6eb7c2, 0xa251e5c4, 0xa57bd8e9, 0x979cd5d8, 0x5d43ad7f, 0x096bb48c,
+    0xbabab626, 0x39fea3a2, 0xac157550, 0x0e9f0c46, 0x54acc12f, 0xe0c80dd1, 0xbf952129, 0x8d3f597b,
+    0x6887553b, 0x3d4f3f58, 0xbbb974fd, 0x0f6bbf1e, 0x353ec520, 0xd298f818, 0xb4ffb1b9, 0xb13a5803,
+    0x8b7d0de7, 0x5927e69d, 0xc6024cfe, 0xf2fec3f1, 0x98c545db, 0xf3230fa5, 0x8863c3be, 0xc7181d9a,
+    0x2cd8787a, 0x0dbf4a12, 0xf7305b1d, 0xa3d6e8d4, 0x4eb385d3, 0xb1786da9, 0xafaeb8ea, 0x152e309b,
+    0x988451d1, 0x427c8bf4, 0x169c4683, 0xb786fbfa, 0xe6e82f7c, 0x5036f329, 0x693070ec, 0x40acaa05,
+    0xfc30a11a, 0xe593c6e6, 0x61dad784, 0x6a65437b, 0x62407da6, 0x06986f7a, 0x180abb6f, 0xc68352cf,
+    0xd90dfdf9, 0x93df8b77, 0xd343cf14, 0xc4323007, 0xe7a87ca8, 0x4947766d, 0x665bb62e, 0x1cf774f8,
+    0xdf2c064d, 0x013751a9, 0x50d0c67c, 0x09227fff, 0x631c3793, 0xc6c68cea, 0xc2e2c059, 0xa3d67bb7,
+    0x21f3d02c, 0xe9d37b20, 0xf6c4f918, 0x4935e0b0, 0xf9dba9c7, 0x38ee72ab, 0xfaf6aa4b, 0x273a1595,
+    0x3641717b, 0xd2588011, 0xf9569cd1, 0xf0fca256, 0x594303fe, 0x1d9e1684, 0x618ed8c0, 0x8d794f68,
+    0x4ea1d1f8, 0x86c72494, 0xc563b0be, 0x8a2e36fc, 0x5e576c66, 0x8adab038, 0xf10e50c5, 0xd1a86652,
+    0x41261389, 0x6ef8d18f, 0x62fb9b88, 0x0f9d362e, 0x6f684f17, 0x6bef0c50, 0xec5de50e, 0xe36d79b2,
+    0xa5d6f31b, 0x08852801, 0x9119f0b8, 0x5fdb9dd7, 0x5b65bf94, 0x8d85019a, 0xbb91e498, 0x7a250ad8,
+    0x69de9081, 0xfc283dab, 0x2b957189, 0x11913469, 0xfc1ece48, 0x6c6fe321, 0x78f40c8f, 0x69ee4cd6,
+    0x9715944a, 0xca9a314c, 0xa0262bb0, 0x6045b1c4, 0x2de6ef67, 0xfda069c7, 0xed2f4bb4, 0xfb75b608,
+    0x1bff6079, 0xad7b915a, 0xc70c8612, 0xae53b411, 0xbccfbc92, 0xbe30c1f9, 0x67066f12, 0xd35cc8d4,
+    0x61a25140, 0x8c0b0185, 0x5bf653f9, 0x3c10a314, 0x7ebf900c, 0x1f03c482, 0x951a1b78, 0xaf04f923,
+    0x55f35363, 0x25fa3d9e, 0x183fee44, 0xa8775498, 0x0b7c515e, 0x56020a8e, 0x472c75af, 0x688f32c5,
+    0x410905c7, 0x956d0e6b, 0x7c88f9d8, 0x43ef69d3, 0xe66dfe95, 0xc3df95e7, 0x14993369, 0x96a77dda,
+    0xc2086687, 0xa98dad58, 0x039480a7, 0x18f5f711, 0x700a49d9, 0x0729b71e, 0x331a6288, 0x139761d3,
+    0x302c317c, 0xd5dc8b7f, 0xbd4e1831, 0x17b0328c, 0x1f448840, 0xba05ada7, 0x16038cd6, 0xf0ea2a9e,
+    0x22c46c6f, 0x0e5ccfbc, 0x665834da, 0xf2f8b384, 0x9cc33ac8, 0x1bd1ecbe, 0x00f19bb6, 0x949770be,
+    0x8fc04d44, 0xd71f9365, 0x05d24315, 0x5b48500e, 0x348cdef1, 0xcd452776, 0x1d67805f, 0x93b209fb,
+    0x611241b6, 0x3ffbb208, 0xd84af7cf, 0x879e2f52, 0xd3d6833f, 0x6d2da2a3, 0x9d54413a, 0x3e1f85fb,
+    0x7ca51248, 0xf05ac3e3, 0xc4385abf, 0xdc18a124, 0x2d6af3d3, 0xaa6443a5, 0x2cfeb408, 0xef07a1c0,
+    0x9ff24153, 0x422fb3aa, 0x66f97d55, 0xc63f23a0, 0xb8360542, 0x8c77a895, 0xed2dbfee, 0xb8839da0,
+    0x06a49747, 0x6a85f6a0, 0xbe01728a, 0x7355e9a5, 0x7cb5302f, 0xce4b9170, 0xb5ee7500, 0xc465dfbe,
+    0xd194a52d, 0x4fffbfa6, 0x23775b50, 0x1a25c58e, 0xc6fd810a, 0x7e56ae3e, 0x5cdacc3d, 0xe5ccce4b,
+    0x5b8020e8, 0xec52c705, 0x49831187, 0x7161484e, 0x983997ec, 0x69c51b72, 0xdbf1cf1e, 0x61d04af4,
+    0x5c58124a, 0xca8506f3, 0xc11e99a2, 0x32457d6b, 0xfa7ac844, 0xd79180c7, 0x36a3fb05, 0x43bed978,
+    0xa4c32950, 0x53999a81, 0x9690124c, 0x9644ccef, 0xd177f3ba, 0xefc821e8, 0x6eb5816a, 0xae9c6081,
+    0xa35e1b59, 0x8e68a917, 0xfe573828, 0xe4158e0d, 0x7c7c9668, 0xe483b64a, 0x9764648c, 0x70056286,
+    0x0ec3bc02, 0xf4920d6b, 0x6ead69e3, 0xc3df77be, 0x3ac3a1c6, 0xa9297095, 0x7a838d60, 0x564aed3c,
+    0x1184218c, 0xcbb1260c, 0x4fd48bc7, 0x92867413, 0xcd941dab, 0x1c0bb3d2, 0x0e22a3d2, 0x929b17a2,
+    0xf3fa9585, 0x8d8fda9d, 0x644fcfd7, 0xd55c1985, 0x4aa6f260, 0x1946e4ee, 0x25213605, 0x8ffd0bfd,
+    0x58b2172b, 0x7fc629d0, 0xe52746ff, 0xa2f3594d, 0x75645e8e, 0x83553f85, 0x8f1a95ad, 0x40c06bb0,
+    0xaf5dafbb, 0xb3d8365e, 0xd6b95886, 0xaa68bf44, 0xbf3c460f, 0xa5c81d67, 0x9ed2742e, 0x5b46d200,
+    0x46a61e7f, 0x54e6a5f3, 0x924e000c, 0x302528f7, 0x9b6d91d7, 0x5e48f912, 0xb1b16188, 0x95130a5a,
+    0x05690d9b, 0x5cda321b, 0x50440c2c, 0x1fb7c351, 0x59408626, 0x74b41ec4, 0x68a234d2, 0xcafc893e,
+    0xc90172ab, 0x3e645768, 0x0c29cf44, 0x25512713, 0x5eeb64ea, 0xf4f4e706, 0xad2536da, 0x24171274,
+    0xff6df892, 0x655ddb4b, 0xbd23ac47, 0xfe9dcc08, 0xf218ed25, 0xccbe6c62, 0x5b839050, 0x20637331,
+    0xb52fa65c, 0x9e3d5cb5, 0x7f9f5a71, 0xd5a949ce, 0x0ac8b38c, 0x93b5e6dd, 0x9e26082c, 0x8dc23b05,
+    0x4a5f019d, 0x426a8a71, 0xa8cfbbe7, 0x09386868, 0x60a2f53f, 0x37005e08, 0x4c37c7ff, 0xe14a1650,
+    0xf73637cf, 0x6f58473a, 0x6a688e78, 0x46addd3d, 0xe3ee5fe7, 0xffea8615, 0xed7c2b61, 0x7b1f03a9,
+    0xc9aa3f98, 0x1e7c22e4, 0xe5abc913, 0x79fae89b, 0x2f3db7b6, 0x9d3ae1a9, 0xaa7de424, 0x8cd22333,
+    0x972d7306, 0xc402a5d6, 0x15ce8d05, 0x33ecbee1, 0x7e04a84a, 0x416b8940, 0x99c1326e, 0x43460c71,
+    0x13db375e, 0x4bb859bc, 0x6774e55c, 0xe42d6fa0, 0xa95122cb, 0x6ea4e74a, 0x4d6144ce, 0xc36f118a,
+    0xa1e44f22, 0xa6b90e10, 0x33c446ab, 0x8844358e, 0x5760beb5, 0xd5bc2dc5, 0x4695146f, 0xd19afb5b,
+    0xc5f3f20b, 0x4d3f25bd, 0xa5ca575f, 0x5ac1771e, 0xe5b115b4, 0x2b2d7940, 0x175f73b1, 0x70aa5201,
+    0x3a470d8f, 0x7e99c32e, 0x79f9f517, 0xd03b3ab6, 0x7a796315, 0x1e3a8cfa, 0x7ea6637a, 0xa0a586ab,
+    0x9f4b09f5, 0xfa2f3a57, 0xbe509535, 0x95e0f672, 0x74b9643f, 0xb99f5536, 0x54caefd0, 0xca5ea641,
+    0x24728535, 0x8df0085a, 0x30a0451d, 0xd094d728, 0x50633acb, 0xb2b213de, 0xda2cd4ec, 0x6c800a8d,
+    0xfa958779, 0xacec85b6, 0x0cc79bda, 0xaa159338, 0x28e7d738, 0xd9361cef, 0x3f0cc663, 0x14ca883e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000751533626487626632924633790972587\
+                          84876021841565066235862633311089030688803667470190838367948312598497021919232 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94,
+    0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf46, 0x1e98be66, 0xbc08588a, 0xb8317076, 0xd0552713,
+    0x00000000,
+    0xd58d3844, 0xd06cd4c9, 0x45042f17, 0xdcb805ae, 0xb6625812, 0x437ff610, 0x7cbfbcbb, 0xdff849a2,
+    0x58d9f705, 0x817d8dce, 0xfc51a1b7, 0x429b05aa, 0xe856bf12, 0x9cb6f8e2, 0x598afcdd, 0x147b49c9,
+    0x5612cd74, 0xc393c7d3, 0xde597de4, 0x6c5db6c4, 0x84aed284, 0x1314f3b7, 0xb0d1f962, 0x3939b9b1,
+    0xe5b85312, 0x1cfcf03a, 0x4c2fe08f, 0x8066aea6, 0x8ef50db0, 0x06a1f02c, 0x58ad2b72, 0x53ca7ac6,
+    0x3a88074a, 0x291ab7bd, 0x5caa3c1a, 0x541b6b03, 0x08990e78, 0x206eb06e, 0xcafd9171, 0x32337105,
+    0xdc7cae19, 0x89ccbf38, 0x1cbfcd07, 0x4344ec81, 0xd4f4a6e8, 0x098e495b, 0x3a2cf7dc, 0x16c6833f,
+    0x90bc675c, 0x6a7179b4, 0x4bcb828b, 0x1fcd616d, 0x57c6b4b4, 0xb365c79f, 0xe11b39ed, 0x1402e388,
+    0x8893385e, 0x9b056379, 0xe1006c49, 0x5c28b4b9, 0xceab3f70, 0x6f4dc2af, 0xdcafeb16, 0x74b0e636,
+    0xb88866a2, 0xd264d610, 0x31d45ac1, 0x1d8c7b94, 0x2ca17cee, 0x81c71546, 0x5313a542, 0x7ac6d32c,
+    0x0a58b83c, 0xcf4b1bc3, 0x0bb4837f, 0xfdd97550, 0x6409fea2, 0x2b852474, 0x9442f2ba, 0xc1bb3f9b,
+    0x8729e310, 0xae49067e, 0xcef65d60, 0xba387e38, 0x380b7582, 0x5fab3e25, 0xa23f9928, 0x154ff6bf,
+    0xd9a4e07d, 0x08ba0037, 0x41a0d2bc, 0x336bec41, 0x365d48ad, 0x4ed41cb7, 0x647a5bf4, 0x3695d285,
+    0xd2a80cef, 0x46842746, 0x90658a82, 0xec49fee5, 0x8649f9aa, 0x9050addf, 0x203a5444, 0x22e03cff,
+    0x6a357c76, 0x258e9ac5, 0x11cfc191, 0x294f6f35, 0xe81c97f5, 0xac9c789b, 0x6502ae2e, 0x0fdad271,
+    0x9c4d21f5, 0xa7e9ea45, 0xf8b15fe2, 0x9408984f, 0xc54e08c6, 0x48e2463e, 0xbdf39af6, 0xc91a0c97,
+    0x65f2a7b2, 0xa38a0dcd, 0x443e224d, 0x24a20e13, 0x098e5f99, 0xa27847ad, 0x06c260a8, 0xd50e0d1a,
+    0xb2b1c9be, 0x76fc5308, 0xf8e63ecc, 0x005eaaba, 0x78a702d8, 0x6134c178, 0x08de6161, 0xdbb7e419,
+    0xe0a56e03, 0x3836f66b, 0x1cdbf135, 0xa7ed198f, 0xb3e6b69c, 0xffbe3524, 0xdf618cc1, 0xee24b307,
+    0x0d0e45a1, 0x8c72157d, 0x41493206, 0x6cbc7629, 0x08f00733, 0x90e000d1, 0xe57f1f73, 0x78a15182,
+    0x62aeaee6, 0xd5a56736, 0xda5be441, 0xac61f01e, 0x78ce069e, 0x52f0dd36, 0x113b57b2, 0x3158440a,
+    0x1ba52129, 0xcaf7ab20, 0x1954c164, 0x0de5b2ef, 0xb76a8a90, 0x1b099abb, 0x4b136997, 0x69f0b124,
+    0x9be73fb1, 0xc885880f, 0x0e1e01ea, 0x7cf88330, 0xa19533ee, 0x8f7c4c2e, 0xd3788882, 0xd71dd7a1,
+    0x361798a9, 0x81194e7e, 0x2128728a, 0xee789a58, 0x69e5dab2, 0x143ee523, 0x2007fbac, 0xf24a2be6,
+    0x37a3a5c3, 0xd65131ff, 0x0f411e9e, 0x691dd9a4, 0x7094e371, 0x570ac75a, 0xf01098bd, 0x8a238a47,
+    0xa897b5f0, 0xc763b02a, 0xf58ca204, 0xeec382fe, 0x5a54c590, 0xf1d4342c, 0x629edbe9, 0x781b193e,
+    0x374830f7, 0x4d268a91, 0xe2c00983, 0xda82885c, 0xf82781d5, 0xb4e0399c, 0x8c65bee7, 0x6c2120ce,
+    0x733924cb, 0x9e533c46, 0xb6b3dc4a, 0x9e11fd0c, 0x65cd1a2b, 0x22256f7a, 0x31c858b5, 0x0ad32bda,
+    0x2e3124e5, 0x6121524f, 0xb732b70c, 0x3cdfac77, 0x66fbd396, 0x9737d319, 0x59fda18e, 0x39f4e5c5,
+    0xce1cd285, 0xda038fbf, 0x790a7603, 0x7f9a9cfa, 0xbdef1e8a, 0x238ef3c2, 0xa23fd86d, 0xceaf8969,
+    0x2e1ff53d, 0xaf06bfe8, 0xfab20512, 0x14e8f281, 0x7929970d, 0xfc746592, 0x251a7d96, 0x0014139e,
+    0xbb8f2574, 0xfc10c036, 0xa8f7c46c, 0x736e91c8, 0xc2a704d8, 0x18bee52d, 0x4170be6c, 0xe6399315,
+    0x96e76dbe, 0x191cd3ac, 0x70450e56, 0x46597fb5, 0x67e5bc24, 0x1f9e0c5f, 0x4d660797, 0xdb91da92,
+    0x2aa78d87, 0xe78ffceb, 0x605aca2c, 0x5a59dfcb, 0xa616d4bb, 0x6c59d71e, 0x8ad0c17b, 0xcad66277,
+    0x688adfd6, 0x61315620, 0x0c0cb89a, 0x52e41bf7, 0xd15bacae, 0xd8605ee9, 0x16088a7e, 0x1816c348,
+    0x77ddde42, 0x4d55eb4a, 0x13725450, 0x548705b8, 0xda1af52b, 0x83cb0fc7, 0x62e65f70, 0x9cdd6f41,
+    0x33ecac45, 0xef74bc56, 0xf5cf0102, 0xc12e8c5f, 0xe431c832, 0x195c6719, 0x49032199, 0xd01f3b04,
+    0x4846ca63, 0xf1506a67, 0xed8d28a1, 0x29cdf6d8, 0x08d0262d, 0x19751954, 0xd7d850d5, 0x58c4e49d,
+    0xb5a97fcd, 0xd90230eb, 0x6a604d43, 0x68ce788c, 0x31526cac, 0xd1944bc5, 0xb0c063d5, 0xb0dc51ff,
+    0xf1bb8398, 0x6f3e35ca, 0x40505df1, 0x7c6a3081, 0xf1a15655, 0x113c93c5, 0x5ef90810, 0x9c70a5b5,
+    0x8cfa5e0f, 0x25de3e15, 0xe858ec61, 0x950fe507, 0x9a773afe, 0x2d2ca261, 0x6385fffd, 0xefb8a496,
+    0x79d8d744, 0xd52ade36, 0x32b68ab0, 0x51f6811f, 0x163daddb, 0x316ff5ad, 0xac2b7529, 0xa48acb61,
+    0xf4579434, 0xb8fb31a0, 0x82ae4e33, 0x88dad22d, 0xf11535cb, 0xec1463db, 0xf6fc0e94, 0xf2f4984c,
+    0x80018ba7, 0xcd809c7f, 0x3af8248f, 0x27a4e8cf, 0xb46daed9, 0xe4535aad, 0x92f5ad9a, 0xccb56fce,
+    0x8cf358c8, 0x836c7398, 0xa72e3335, 0x35bc3570, 0x84ae661f, 0x92ac1a00, 0x381498a8, 0x262b95f0,
+    0xfaf1397a, 0xfba2518d, 0x56b1c76e, 0x54f952b0, 0x48dc04b9, 0x6a50ec81, 0xee66ed87, 0x25670af6,
+    0xdafb246b, 0xd94d4b71, 0x5d0126d2, 0x9b5dca45, 0x96411b21, 0xb0dd8943, 0x52c7d0bc, 0x4e3fea68,
+    0xc5975b20, 0x2b46b120, 0xd3c03c5c, 0x72850b44, 0x151d5e88, 0x99e5c98d, 0x6b66c1fa, 0x25624325,
+    0x9fb7d27d, 0xa5851f94, 0x3d790b55, 0x967defd6, 0x0efa24fc, 0xa0e4e2fe, 0xd8d94090, 0xe90d671c,
+    0xf510332e, 0x216a92de, 0xa045aeb1, 0x3710975b, 0x6f91f61b, 0x62234cd0, 0x6babf6b0, 0x48104269,
+    0x96a176f2, 0x4f70ed57, 0x690f8b45, 0x2de123c5, 0xb9138a7c, 0x1ff12d79, 0x30b9a4cd, 0x94683883,
+    0x7a5e829d, 0x0f1c0291, 0x630e1d01, 0xfaa47f4c, 0x77dabb6f, 0x3d6c284a, 0xd99a4683, 0x7d9ff421,
+    0xab837f2e, 0x6eab1fa0, 0x5457d5bd, 0x86022627, 0xc9d76bbe, 0x3196beee, 0x50873297, 0x8b13e8af,
+    0x74098cd6, 0xbb735beb, 0x57771874, 0xe57e5098, 0xf81be5df, 0x711fc5d1, 0x020cfb12, 0xce223546,
+    0xd2362f7a, 0xa4b9fa57, 0x95b78908, 0x6778e720, 0xf4f4b537, 0x9b89a643, 0x6e2643e7, 0x25ccccdb,
+    0x8cddae1d, 0x5b737747, 0x27ec27fc, 0x3e890ec3, 0xe162fe95, 0xffa5e4c3, 0x3dba14db, 0x2cacdc56,
+    0x0786cbd6, 0x412c64da, 0xbb19f9a4, 0x04e10e85, 0x809cafd8, 0x5d16623a, 0xb5a4ef5f, 0xfdf79fd7,
+    0x482c79f9, 0x605e1c7c, 0xd396fd39, 0xfdc5ebdd, 0x57b34230, 0xb0593c17, 0xaa837bff, 0xb9b01aa1,
+    0x1663ccfc, 0x6fcc7be3, 0x6cb4f811, 0x01d19721, 0x7109abc6, 0x100069dc, 0x60d50d32, 0x9b5d5cf0,
+    0x65878efd, 0x56a291d4, 0x92cbe896, 0x35672874, 0x89fade46, 0x6fbe7dd6, 0xafed2180, 0xf4fc6f74,
+    0x03f9e871, 0x099b3388, 0xf800e952, 0x61295ba2, 0x41536f3a, 0x33cfc7ea, 0x556cd2da, 0x3b253ed6,
+    0x56c840ab, 0xcd7a1a97, 0xf029f325, 0x08e9900a, 0x3d745c27, 0x458609a4, 0xb8903c42, 0x1ab77111,
+    0x35c2013c, 0xacd4894d, 0x067cba92, 0x794f373c, 0x90589ceb, 0x652b5c2f, 0xc22e0747, 0x3a6095a2,
+    0xc2b9e9dc, 0x34952008, 0xbf6362ed, 0x79eadb7b, 0xd4767c4d, 0x65ff3a06, 0xa05f27fc, 0x4ac37e77,
+    0x3f3ba78a, 0xbe24616c, 0x78dc0ec4, 0x6fea890e, 0x3e322263, 0x2e218bd3, 0xb3c93c07, 0x3c852c54,
+    0xd410ef87, 0x40ec1190, 0x5ce03957, 0xea9d6f7d, 0x3220946e, 0x166048ee, 0xf18a4a5e, 0x11bf309d,
+    0x9b31972b, 0xe107d1a2, 0xcc135139, 0xa7cce7c3, 0xd483cbe7, 0xb3e64e50, 0x67da613e, 0x9bf290d8,
+    0x036b6632, 0x08b4fed8, 0x0a3b4987, 0x9430fd2f, 0x174140e8, 0xefef54ac, 0x45a2323e, 0x3cd18f15,
+    0x07bc60c6, 0x61991429, 0xa43cf37d, 0xd8cbe021, 0x3d14b481, 0x4d17ac96, 0xd165ed36, 0x64c0200c,
+    0xcbb30f72, 0x7182fb6e, 0x0764e8bd, 0x7211fd5f, 0xea6ec14a, 0x756fc7d7, 0xed5a346c, 0x3aa31247,
+    0xe6c7079f, 0x44395f3d, 0x6a0babf4, 0x9f069602, 0x77d51aa9, 0x4294f8d1, 0xf23ea1fa, 0x6ee5332c,
+    0x1a1e98bf, 0xf398fa2b, 0x2981a736, 0xf89acd00, 0x1e92ed92, 0x3934d917, 0x98df09af, 0x093f6db2,
+    0xa94723aa, 0x8799aa2a, 0xe8ea13da, 0xe5394e72, 0xac81a33a, 0xf0807038, 0x981e5d6c, 0x5e9df0ee,
+    0xdb21ce00, 0xaa9ab2f3, 0xf2559467, 0x94392c89, 0xb95338d8, 0x8f4cb799, 0xdeecf572, 0xf8a25bb4,
+    0xabc36a80, 0x06572fbd, 0x2841fcaf, 0xf595750e, 0x48cb4f07, 0x2069e55a, 0x9997986e, 0x5021d845,
+    0xa2f094a5, 0x815d69c9, 0xbccec03d, 0x375fe787, 0xa5e897a1, 0xd37cfaec, 0x9ac4b06b, 0x326675d5,
+    0x0a3e66e5, 0x9acb5a80, 0xf802b140, 0x85244aa2, 0xaf9517eb, 0xadfa404d, 0xd1baee1d, 0xfde949a5,
+    0x753452ea, 0xce404001, 0x66f8cfcc, 0xe073cc3b, 0x7e087452, 0x364317b6, 0x7e10a614, 0xb4b573f6,
+    0xd3d552a6, 0xdee972ec, 0x4552f3f1, 0xdece8cac, 0x0abba929, 0x19146786, 0xf1838fd2, 0xb60332a6,
+    0x8b4866fc, 0x30eab31f, 0xbd6d3a05, 0xb9d12bad, 0xab7640df, 0x7a8b26a2, 0x3e14d64b, 0x0820cd32,
+    0x7008adaf, 0x3b692b66, 0x0e808d4f, 0xb6064b5b, 0xc5cd9159, 0xb7764b41, 0xc4026e76, 0xf59af8cc,
+    0x6a38e9a7, 0x49a5b48d, 0x93f998f2, 0x0d959620, 0xa3252ac0, 0xf2bd4e42, 0x2aef1d28, 0xbc1ec61b,
+    0xae11ef42, 0x62d24754, 0xdba57414, 0x81e2706b, 0x70ed13ef, 0x924e0070, 0xc5c92321, 0x847f76fa,
+    0xf0fde158, 0x552bd9ad, 0xecc6967c, 0xe656b6bb, 0xcb30e022, 0x2cdac1ce, 0xd09b505d, 0xc674eb16,
+    0xb07afebc, 0x148e3024, 0x947bbab2, 0xd9bc2760, 0x31937905, 0xbc3c29a0, 0x5c9c2551, 0x07aebef6,
+    0x74659abb, 0x21169fe2, 0xf6d31057, 0xfac341da, 0xe4b93814, 0xd55c37dc, 0xb8c38d6c, 0x21e1af48,
+    0x3b2ddaef, 0x1ad8ab0b, 0x5fe3b415, 0x106e67c9, 0xb398f881, 0x6f2a141f, 0x24b8395a, 0xf8b3fcfc,
+    0x7c418226, 0x66a011b9, 0x2ee5594c, 0xd10a614b, 0xe2959be0, 0xa848eb70, 0x4306ce13, 0x682f8816,
+    0x8f4d776d, 0x377e34b1, 0xfdc49d67, 0x28caa8ad, 0x6b9c224c, 0xd9430266, 0x43b7aa19, 0x520b21ec,
+    0x8677e9c2, 0xc9074302, 0x0477289e, 0xcf86c7ca, 0xfb0a8366, 0x06720bff, 0xfab22539, 0xde51ee3a,
+    0x17c666eb, 0x95a721f1, 0x1e338dc7, 0x0f78a30c, 0xb58bcbd7, 0x23a71c95, 0xb7ed56b7, 0xecf8f826,
+    0x889cddbc, 0x87d3ce1d, 0x7c5ac677, 0x2fe29938, 0xa23e05a0, 0x438f150f, 0xb52f541e, 0x0a5487f6,
+    0xa9f3f63e, 0xc5b0f3b9, 0x74a13168, 0x28fc4a05, 0x41ec2b8f, 0x6118c61b, 0x28c346bd, 0x05ac9814,
+    0xc53eea2c, 0x07dfdfce, 0x4ccb31c6, 0x4dd20f35, 0xd8322e95, 0xb60e3208, 0xd285e348, 0x64ee6638,
+    0x1121974e, 0x29eabbdf, 0x9c4a5cbd, 0x51b7c22d, 0x732856ed, 0x191ccc09, 0x3b79fd37, 0xa9fde1d8,
+    0xef56aa34, 0x8db3f86d, 0x54745c33, 0xc8822a1a, 0x9ce9f2de, 0x710d2505, 0xda120407, 0x5d72358d,
+    0x7e980ef6, 0x74ba2cbf, 0x7f7e1f8e, 0x41381a70, 0x40b0943b, 0x6960426f, 0xcc95db7d, 0xaa52922b,
+    0x2291f68c, 0x95a8b1ec, 0xeb0a271f, 0xfc476f6d, 0xaea67e3e, 0xb217baa3, 0xea5f9328, 0x0c180003,
+    0x609c078b, 0xd433abe0, 0x47cf2f44, 0xcb818a37, 0x614e3335, 0xe3db903a, 0xdf1b4447, 0xdc32ab2d,
+    0x2f410da9, 0x95a9f1b3, 0xa22a099d, 0xab4f74d0, 0xf8752534, 0x21de17ba, 0x5f3f00aa, 0xd7deb8b5,
+    0xf91d7944, 0xde042cb0, 0x7ea13131, 0xcec2feb6, 0x31ddbdc0, 0x639ad711, 0x1dd8a424, 0xe437e94f,
+    0xb1b999a1, 0x1aab39d5, 0x3852b8c8, 0xac0417c1, 0x28ec952f, 0x1cb0cece, 0x62f70c39, 0x501e4fec,
+    0x89839cb9, 0x5ae57564, 0x8b04524f, 0x512ba1b9, 0xc9e1317b, 0x66dbc3b8, 0x72777a35, 0x67b4eb3a,
+    0xb517401a, 0xe596c6b5, 0x8459249a, 0xea071bd4, 0xd9921583, 0xbf329267, 0x6667a649, 0x22c434ce,
+    0xa4b98e9c, 0xa48ad524, 0xd420d2ad, 0x6c2a2098, 0x762adc72, 0x3922c133, 0xe1b6e059, 0x6842e595,
+    0xb2085ad9, 0x4788551b, 0x03b5f3ca, 0xf7e63624, 0xec4b684e, 0xc28f270a, 0x19f4b0eb, 0x97d35b5e,
+    0x075ea62b, 0x3e6640cc, 0xb1f2c54f, 0x3a4dbe42, 0x340f6188, 0x86789920, 0x80ec2d67, 0x9e40a71d,
+    0x80ebc5cd, 0x90993c86, 0xf70de3a7, 0x35389bbd, 0x3e6268fd, 0x963072d6, 0xae090e2c, 0xb608a105,
+    0xfb201b92, 0x360ef734, 0xb2333177, 0x58529a8d, 0x0e3fb3ca, 0x08d84aed, 0x2352351f, 0x3e05309e,
+    0x01b31ddb, 0xdd7e0751, 0x33381d34, 0x9fe8bd3d, 0x4d863dcc, 0xf14f4512, 0x74d3b454, 0xc685d518,
+    0x56277073, 0xdbe5b72f, 0x6819de18, 0xf96514ed, 0x7e9cf4c4, 0x50009dd5, 0x05667a1b, 0xcfc071ed,
+    0x80f14bf3, 0x76d1a3eb, 0xf798995d, 0x4567efb1, 0x7256dfc8, 0x0bafeb98, 0x84334240, 0x9c08225a,
+    0x592c37d8, 0x1a59cf1f, 0xa1af6551, 0xc2ac24bc, 0xd7254279, 0x3e97cdc1, 0x28f50f44, 0xcd096f79,
+    0xde1a9237, 0x5875df2c, 0x891f9979, 0xe3472df9, 0x84bf3977, 0x03f637d4, 0xb6236318, 0x833b0a36,
+    0x7ecc880d, 0x161e3b5e, 0xc0489395, 0x457097d6, 0x0662be03, 0x118855f9, 0xb71d40c7, 0xf41b3741,
+    0xdd3dac20, 0xe7080a4c, 0xfca70d14, 0x90ad2498, 0x26bea8a1, 0xf82efbeb, 0xfb4bfe0d, 0x71b3ecfd,
+    0x9e8c7a32, 0xc95114e7, 0x7a5f68b3, 0x50b275dd, 0xe904c9e5, 0x88a813d5, 0xaf1302a6, 0x556f70db,
+    0x9df49f19, 0x1f6a5915, 0x59d96e00, 0x11bfd99d, 0x13bbfea4, 0xf63c23fe, 0x27a5fbd9, 0x54374761,
+    0xd7aa2a0c, 0x042ab963, 0xcefc0ff2, 0x8e28c665, 0xeac79e6d, 0xee7b12d4, 0xb0902ab5, 0xedb073dc,
+    0xe06f309d, 0xa7138b16, 0x8daa1104, 0xa3328478, 0xcf813946, 0xe446889d, 0x0921d699, 0x93f74f0b,
+    0x94760e46, 0xa1215368, 0xc2c619bd, 0x796c94d0, 0x3308dc3e, 0xc84727e1, 0x9d538b83, 0xb3207a7c,
+    0x7226be4a, 0x968d4418, 0x18d5afdc, 0x7862a843, 0x11520a79, 0xba7d9a7e, 0x8c42efc2, 0x197fccd7,
+    0x56730c9b, 0xb3a62f1a, 0xc9f550e2, 0x83093e53, 0x4ecd7459, 0x8ca5317d, 0x7e536217, 0xec83d7b3,
+    0x90f5355c, 0xbb4f4a29, 0x6d4370b7, 0x3c268fa5, 0xbcd00b24, 0xc952230e, 0xd985cde5, 0x2e65e47e,
+    0x391e89c5, 0xacb22c57, 0x74c952c0, 0xee6d6595, 0xe2de6b36, 0x4550b9c3, 0x98a0c785, 0xc0b80300,
+    0x9f0a2d89, 0x6cbbf044, 0x0eac6da9, 0x46944303, 0xb9e73633, 0xb3e40494, 0x89c77a0b, 0x93e8192d,
+    0xeae41c35, 0xb330b6b5, 0xa79b9d38, 0xd2d4f790, 0xf0b5d641, 0x89075a70, 0xbfda2032, 0x1bd95108,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000375766813243813316462316895486293\
+                          92438010920782533117931316655544515344401833735095419183974156299248510959616 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a,
+    0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa3, 0x0f4c5f33, 0x5e042c45, 0x5c18b83b, 0x682a9389,
+    0x00000000,
+    0xa554f1fe, 0xfe898621, 0xd14a40dc, 0x8d79598a, 0xcfb6cf8d, 0x3b93ea03, 0x265dd5d7, 0xcd4e5b35,
+    0x6d53a454, 0xa21aeb1f, 0xd7888d49, 0x361f6e01, 0x3ae06205, 0x7df601d0, 0xa4d474bd, 0x99baee78,
+    0x576e18d5, 0x682d5160, 0xaeae8d90, 0x5a2e7006, 0xd385a32b, 0x9e17dfce, 0x684e0f1d, 0x8c3335e3,
+    0x180443ca, 0x37d8d361, 0x8e259d17, 0x4944159b, 0x1d45261f, 0xc6f9af56, 0xcf2e31a2, 0xbe7b4e1b,
+    0xe57294ba, 0xe26bc5ed, 0xe2d20011, 0x92512737, 0x2f239ea5, 0x96dbc392, 0x714c04ed, 0x1889f45c,
+    0xb9b69ecb, 0x8b1d4087, 0xfa046fc0, 0xabfc5af0, 0x69995ed6, 0x9097e96b, 0x7cdba8b9, 0x79b7a21f,
+    0xf631d2e8, 0x6ac3fdb4, 0x24d00e81, 0xef437bd1, 0x6091debe, 0x7345a261, 0x1c798cc3, 0xbc485ed7,
+    0xa468d71b, 0x3655d59c, 0x73b100a6, 0x760208f1, 0xba4573c3, 0xb1b8d69e, 0x7e0f7e7f, 0x7502851d,
+    0x78e05db6, 0x6fd41c4b, 0x7d968743, 0xf2d16af1, 0xba4a9ca0, 0xf512b41f, 0xd80ca56d, 0xb16fd287,
+    0x048a5e84, 0x711550f8, 0x96c391a9, 0x21dc495d, 0xa1076e4b, 0x611490e9, 0xee392fec, 0xaf988e7c,
+    0xe00588fd, 0x3a99cf61, 0x6e7e1e08, 0xe03055d6, 0xf0bcd794, 0xd3507b08, 0xdfa00fd8, 0x5df7e9d8,
+    0xd6d0d59d, 0x34b5eba1, 0x49b34e04, 0xb6e19991, 0x2195db4e, 0xc06fbbfe, 0x3a0fcabd, 0x54878db4,
+    0xbc83bfe1, 0xee5a83ae, 0x26fad9b9, 0x7a7ffd9f, 0xfb317917, 0x1900051e, 0x8d0d0f77, 0xf024cc57,
+    0x00e67554, 0x889e2bdd, 0x26e715d3, 0x001f347b, 0xd269b369, 0xda2b1c66, 0xd8d63d66, 0xabce8cf2,
+    0x99ef49d7, 0x512f3e39, 0xfb0bcd98, 0x53517954, 0xe3059a07, 0x00e670aa, 0xa721fa3e, 0x060cfed1,
+    0xe31eade0, 0x6c4095d3, 0x126cffc2, 0xcc7e81d0, 0xe77d03af, 0x78810512, 0x2ca81bf2, 0xd0a8e057,
+    0x42a242f2, 0x756cd089, 0x55911a4d, 0x1bdf128e, 0x43d4b2b0, 0xa9c821b5, 0x80e3c2de, 0x488313d1,
+    0xfe23331e, 0x0190beba, 0xba99d663, 0x324b308e, 0x34820eb2, 0xfc888443, 0xb98e86e4, 0xb199aed4,
+    0x32a80b33, 0xec001103, 0x60f0ffd0, 0x417d0c1c, 0xd2f791a8, 0x8d9a63f0, 0xa6d2ecd0, 0x5500e8f1,
+    0xd8c5b6db, 0x0938511c, 0x971809ec, 0x0ec0ea98, 0x6a76e2dc, 0xc27be35e, 0x2991b2ae, 0xdda50313,
+    0x5276b5f1, 0x166e4a15, 0x6d18d4f0, 0x62cc0a4b, 0xf4c55c6d, 0x2cd8a483, 0x99e2e86f, 0x1c963d09,
+    0x864483b2, 0xb4669dc3, 0xd8394916, 0xf83c1ee7, 0xec09a630, 0x7587b600, 0xea3419a1, 0x8bd7ab91,
+    0xbab485ff, 0x21a5631d, 0x42eac856, 0x50f9e5e8, 0x4a6d0446, 0xf5ae7934, 0xca10d873, 0x6aed4b65,
+    0xf18477ac, 0xa6853923, 0x24b928b7, 0x9cdae5d7, 0xaae0e381, 0x8db1a65f, 0xc55b8099, 0xb9ca836f,
+    0xb31ce67c, 0xdd964900, 0xbe5a6012, 0x1389056d, 0x4fe41e19, 0xaa6d9207, 0x6fc252ff, 0xa6765d7c,
+    0x3fdef948, 0x07caf1d4, 0xf339b863, 0x63c52279, 0x7c3f5e5b, 0x55f55093, 0x65ea8ddf, 0x2c556c6f,
+    0xd12d1200, 0x6b6d0e95, 0x6fcce586, 0xd4ac4b25, 0xfb3a9a82, 0xecf39800, 0xe3dfa81f, 0xc5f4f1ab,
+    0x891b38ea, 0xc313eb8e, 0xdb9e463a, 0xdb5bbb00, 0xf0b43a5a, 0x72c43725, 0x8fa94049, 0xfec47bc9,
+    0xc9783418, 0xe1c62336, 0xce003cfb, 0x9811222e, 0x9c770473, 0xfaff084b, 0x670eb93c, 0xdf227b78,
+    0x51678338, 0xfd7d48a4, 0xf23309a7, 0x7d632f05, 0x5ebf0c87, 0xdaee1320, 0xa94a64f3, 0x25846e67,
+    0xa22f035c, 0xc7c73b3f, 0xfbf2edc3, 0x4dab8519, 0x3edbf91d, 0x0fa6f304, 0x9e425cb1, 0x2e4ba02d,
+    0x1a954f55, 0x807e805d, 0x0ea10b26, 0x71e873d7, 0xb5650843, 0xaad55662, 0x0e455b52, 0xcecb97aa,
+    0x316c8adf, 0x5bcca137, 0xe03e68bb, 0xeb80f809, 0x4acfacb5, 0x6e0f8650, 0x1beca18c, 0x7a3e097a,
+    0x3c147640, 0x1ef55895, 0x1a7453bd, 0xa8d36d02, 0xc666c4cf, 0x643f2d72, 0xd20691e5, 0x6ac374f1,
+    0xe6a3c1b6, 0xb7efcaba, 0xaa4a6684, 0x86d109fa, 0x1c116bc6, 0xac877ee7, 0x52b3da3f, 0x2a71c53d,
+    0xaccefda0, 0x3a859764, 0x96196260, 0xbaf39ecc, 0x3c7a9192, 0x423d6f6f, 0x938b7672, 0x08bc04fa,
+    0x56d4f9af, 0xac378f57, 0xebe3d74f, 0x26401dd8, 0xd2bcd9e8, 0xa5bfabf3, 0xe91bbb7b, 0xa8997aac,
+    0xca60e9f8, 0xb7c1b043, 0x3fffe036, 0x563c50c4, 0x3297c5ce, 0xfcb9348c, 0xe720e249, 0xf65f87ca,
+    0x29e4ad1d, 0x4ebf9391, 0x6ebdc636, 0x83381ca6, 0xd2208ab2, 0xb6785738, 0x56362baa, 0x82cc6ca2,
+    0x7f074b5e, 0xd9ee4609, 0xfe614a47, 0xfbd0c2ed, 0x44845d56, 0xcec34b93, 0x5f877361, 0xf3265e28,
+    0xd3aef247, 0x726420f4, 0xd67a678a, 0x5f2a894f, 0xb1c06831, 0x56a4e917, 0xc6edaeb3, 0x0b07ec1e,
+    0xeaf35f41, 0x2e8503d5, 0x91676910, 0xa8936ee3, 0x108ebd6a, 0x2fae135b, 0xe2e063bc, 0x5369caa5,
+    0xfd816a19, 0x0c9e324f, 0x942bc870, 0x281491d6, 0x6f354be0, 0x72321fbc, 0x423fcaee, 0x82da2578,
+    0xfc5863ff, 0x2a2eede6, 0x6332bcb7, 0x4ac6441e, 0x1050ea40, 0x3430389c, 0xd21c0f3d, 0x880794d7,
+    0x780acbca, 0xb4602119, 0xf9c8bb5d, 0x36247116, 0xf94fbaa1, 0xa04783cc, 0x65a6cfaf, 0x1acc45f6,
+    0x7606410b, 0x587221d4, 0xa57930db, 0x98647bc9, 0x14a7b14b, 0x3db7a620, 0xe3237265, 0x7c9ed7ff,
+    0x90094318, 0x34272207, 0xc967fc74, 0xb8f7fe82, 0x09cdf97d, 0x2be00c38, 0xf0d7432a, 0x2851c40b,
+    0x6085126b, 0xe73ca0eb, 0x318e06ee, 0x2940d038, 0xabc639fd, 0x37c977f2, 0xe5eeac70, 0xd72694c3,
+    0xe78609c7, 0x684025ea, 0xd9588c1c, 0x6412d95e, 0x65f8f137, 0xd5b69b66, 0xfddb62f6, 0xd486829d,
+    0x20e9e63c, 0x47005bee, 0x60f6f7f8, 0x527d798a, 0xd6e1c63d, 0xa7808c94, 0xa2549186, 0x640ba983,
+    0x02559b8e, 0x2abf96c6, 0xab47edd1, 0x56be1c07, 0xc1da90b9, 0x8eadfd72, 0xb3e898cd, 0xc62b61c8,
+    0xee0a87d4, 0x3b9077a2, 0x6db90729, 0x7c21d1c5, 0x5185e054, 0x0be6ec45, 0x54edcda3, 0x72e53bea,
+    0x3ea38b41, 0x4b5a821b, 0x510f4d42, 0x9c8c0416, 0xdafcdff8, 0x4abfc9d5, 0x5fe301f9, 0x7aa9f7af,
+    0xae66fd83, 0x0a2cdab6, 0x81765875, 0x5bc4070e, 0xe56a10e4, 0xa0abd7af, 0xab1e3ad6, 0xf8db8324,
+    0xdacc1c3f, 0x1cd0ac0a, 0x9b159d37, 0x9ff68bcc, 0xa50ec469, 0xf7d67ef1, 0xc1f5dda9, 0x105328f2,
+    0x46cdc4dd, 0xaef953ce, 0x9bff0196, 0x1101b214, 0x74dce323, 0xae7c887d, 0x2971d400, 0x54eae40a,
+    0x46fe34bb, 0x1525537a, 0x4db4660b, 0x4f46a618, 0x6a09abd5, 0x5ba2c107, 0x6dac6018, 0x70ce5337,
+    0xd7d656c2, 0x0587ac40, 0x71b04bae, 0xd5ee9dc1, 0x63b8c3c7, 0x185585e8, 0xd21c1f1f, 0xdbc1db0e,
+    0x16c43e62, 0x25e730a8, 0x9d1c1df9, 0xe1cac476, 0x4572ec46, 0x059d8962, 0x0e5a2f5d, 0x01f3447b,
+    0xee879f8d, 0x0d874ad5, 0x0f549e2c, 0xd0555d98, 0x21028029, 0x895e34b5, 0xd96f1939, 0x352becb4,
+    0xfbca0aee, 0x2f1bbf52, 0xb3db9471, 0x7c390ddc, 0x5bbb880e, 0x09fe9a55, 0xe4a0f226, 0xc6732753,
+    0xcd26c21d, 0x4eb092ee, 0xcacc9336, 0x9c2b002e, 0xb12232e3, 0xe95e4686, 0xc07de9b9, 0xa9f5aaa6,
+    0x3959662a, 0xd90ddf66, 0x575320eb, 0xa420f505, 0x0ca2ba53, 0xabe080df, 0xf9da874f, 0x4f3574b7,
+    0xc2418d37, 0x6dba5d67, 0x340211a0, 0x0a5ac396, 0x3c554046, 0xf0fe4dc7, 0x7b98b891, 0xf414c436,
+    0x734981b7, 0x7cbbd977, 0x391b6f0b, 0x4fe01bd8, 0x94f5837c, 0xd7df7841, 0x4ad125f3, 0x0fe138c3,
+    0x34b3c37a, 0x84f2844a, 0xc7477306, 0x6948ddc0, 0xb2375c8c, 0xe69801e2, 0x6d66d1ef, 0x1093dc21,
+    0x0c56b0e8, 0x7d4f88e0, 0x3b1a8b35, 0x1daaddaa, 0xa620226f, 0x4bc8c5c1, 0x10145a46, 0xf64ae2a1,
+    0xbbd637aa, 0x0cfc760d, 0x1589c0e1, 0x7fa69c74, 0xbf5915cf, 0x046bda4e, 0x49e83cc7, 0x46f88299,
+    0xc4a58cb1, 0xcc6b63cd, 0x523306dc, 0x1e6507b5, 0xaaa25204, 0x29d4148d, 0x5a471c43, 0x56225d0a,
+    0x506b34bd, 0xd4e30eda, 0xeab99ec6, 0x5628cf2e, 0x6d332209, 0xc64bf53d, 0xe302efc1, 0xa1c072de,
+    0x4702b49e, 0xb5a0dbfb, 0x5f38705b, 0x03a313dd, 0xceef3d59, 0xff3692df, 0x8960c707, 0x81ceaa86,
+    0xe8db0c83, 0xe08da655, 0x1a290205, 0x3e440142, 0x3eddaa51, 0x96dd55a7, 0x8d5c1963, 0xcb199b0d,
+    0xdaafc65c, 0xdece2fc3, 0x2830ec7f, 0xbc9d0062, 0x6b027c6f, 0x80445240, 0xecc22bd3, 0xa53211d8,
+    0x873acbf2, 0xd7c27274, 0xfa637d6d, 0xbdce2468, 0x01909476, 0x65201fdf, 0xddf0d8e0, 0xc7a4bafa,
+    0x3c9a620c, 0x264d2801, 0x1e07a7f6, 0x397d1311, 0x7a03ccd4, 0x1f27925a, 0x38c60a4d, 0x0ba47fd8,
+    0x99e8e10b, 0xab0e2c11, 0xafe86bd3, 0x3d6f509d, 0xe35cd8af, 0xf4a86ae1, 0xce662db9, 0xe5b630b8,
+    0xd3b92653, 0x874b38b4, 0x57c2222f, 0xa5716187, 0xfa14014b, 0x60c888a3, 0x1c045eb6, 0x31f63628,
+    0x9b09211a, 0x3a7c9dc5, 0x230ca011, 0x913a894c, 0x46afd489, 0xce00f6d2, 0x3b9a85d1, 0x4cb1dd96,
+    0x8945820a, 0x533a6c4d, 0xe41f320f, 0xe05334f8, 0xf97e72cf, 0x30f1edea, 0xf28a7c9f, 0xbb5e918c,
+    0xefa6880b, 0x8fc0aa73, 0xb9e25eab, 0x66f435d7, 0x94026504, 0x44778360, 0xc70ef9b2, 0xe6eb98ff,
+    0xa64085d0, 0xd6cf441b, 0x16da4aba, 0x629097ef, 0x2f9b2ff2, 0x53079b6d, 0x33b143e3, 0x4c210c4d,
+    0xf5209145, 0xf8c13b0c, 0x1eb7b8fb, 0xe838d43a, 0xc4140157, 0xe5833348, 0x5571efce, 0x4dfa7ac5,
+    0xb5a77090, 0x446025fc, 0xc695ddf9, 0x1a69ed76, 0x7b851ea2, 0x803f9c29, 0x60984748, 0x7003d51b,
+    0x0da08f79, 0xba3cb64b, 0x9b6dffde, 0xd2c2638c, 0x56785b71, 0x9f379e2e, 0x4fcfa12e, 0xf7a7a7cd,
+    0x3c662a5e, 0xf439b84c, 0xfc026ddd, 0xa061a2ca, 0x903049a2, 0x53cad74f, 0x6b66abdd, 0x55095800,
+    0x250c9d61, 0x77ddbbf0, 0x8b666b17, 0x67b213f0, 0x8b226be8, 0x943a4573, 0xe96b6543, 0x8fd9f0a3,
+    0xbaee4192, 0x01d987df, 0x142061e5, 0xb5937034, 0xfc411f69, 0xd23773c3, 0xd01ac718, 0xb5083b1d,
+    0x50a2cc57, 0x76887622, 0xe31b2066, 0x3ac7277b, 0x007aef23, 0xc73fa68a, 0x77502960, 0x1a109b2f,
+    0x8a8661c6, 0xcad68b4e, 0x344d0a0f, 0xb06d3b29, 0x015dd65a, 0x853dcc5d, 0x6e65414a, 0x349f5768,
+    0xec806e21, 0x52143ba9, 0x00822b8b, 0x7ad36707, 0xa47aa37d, 0xcd3fad0e, 0x82a58a54, 0x70274dfb,
+    0x8ca416d3, 0x8873f49f, 0xb3db1460, 0x15a1ea45, 0x64096a5f, 0xd4fa7162, 0x22e0055b, 0xe5421d28,
+    0xdcf0ebb3, 0x67479867, 0x81a3dc0f, 0x2dc09ee4, 0x18b1fbca, 0x04f13f36, 0x3cd04cf3, 0xf528b5b1,
+    0xb55a0065, 0x2b2b6e0c, 0x6a215618, 0x7318dc17, 0x1bfc1b13, 0x195003b8, 0xeb8a08ff, 0x36778c41,
+    0xb8709d4c, 0x968894f8, 0x6159ae44, 0x12465201, 0xab151483, 0x96b34875, 0x4eb3608d, 0x604279c8,
+    0x980b30bf, 0x5db2a080, 0xbf296b4b, 0xd6e6d113, 0xde4f8c5f, 0x3dd8aa8e, 0x83555273, 0xec8bbcbb,
+    0xe586210d, 0xa3732879, 0x676f9100, 0x0606a4a8, 0x459bf4d2, 0x00a7ee4c, 0xacd5e6a2, 0x26db104d,
+    0xe703741e, 0x01b14a04, 0xef7ea2fc, 0x06313e02, 0xbf5db995, 0x961c3fcb, 0x67afeccf, 0x2c4e2142,
+    0x9c7fbe29, 0xcdf5dbd2, 0x2bd9f2fa, 0x1aa0421a, 0xf6bb9c20, 0x18ebd583, 0xed5cda82, 0x8ebf3911,
+    0x9b51ee1f, 0xb5d2bc04, 0x38f8b6fa, 0xc1f9b59b, 0x857fa5a0, 0xf5f14733, 0xbb724874, 0x4b423d3e,
+    0x500bab8d, 0xedca8ef0, 0x303455de, 0x79b61c86, 0xd1e26531, 0x1af8634a, 0xb38afb1b, 0x5737224f,
+    0x385434e5, 0xee013c6a, 0x2ca5df0d, 0x9ff69f1e, 0x268efcc9, 0xf6283f8d, 0xc6e110ab, 0xb293ecea,
+    0xa4451d33, 0xc6a21dce, 0x9860c266, 0x6a67db0c, 0x1c113383, 0x45410fe1, 0x27485018, 0xd074ec90,
+    0x2b28503b, 0xc468b7c3, 0x990cbfa0, 0x7150fa92, 0xa163ef44, 0x1c2014a5, 0xc0a528e8, 0xb2cc3f0b,
+    0xcaf29840, 0x531e0249, 0x63bb51ed, 0xaa679a87, 0xaa4fcdb8, 0x783dfc12, 0x42f91323, 0xe44b3b15,
+    0x8b2db9d5, 0x58031897, 0x172cb909, 0xabb4e9cc, 0x12a74be1, 0x4a347b52, 0x85514a8d, 0xd9dc901a,
+    0xbdf3e2b7, 0x8901aa31, 0x2d59f0a9, 0x28fa1449, 0x9f1e39f5, 0x0080a268, 0xaf6216ac, 0x545cf394,
+    0xfca593a4, 0x95e05da6, 0xb2a6ea73, 0x4d365d14, 0xb2c0cc4f, 0x9409c05d, 0x755768d7, 0xe0165e0a,
+    0x30e2efad, 0x8609a42a, 0x9fdfd86f, 0x0f7954dd, 0x8369a62e, 0x3f41e4ce, 0xab452d4c, 0x0da35ab9,
+    0x819ddf84, 0x82c8cc6b, 0x7e7b7a0e, 0x103f3658, 0x4584c686, 0x660d1871, 0x24dfbe11, 0x4616e763,
+    0x35ca0a2b, 0xfe6ed8a4, 0xf282af24, 0x4cd149fc, 0xdaa160b0, 0x2f60c013, 0xaa70cfa9, 0xaedb4dcc,
+    0xbd57f3f1, 0x146d7710, 0xe133e7a0, 0x6d006824, 0x8a4754aa, 0xc873a5c8, 0x4c546142, 0xd3437cb3,
+    0xb3a014b4, 0x1d7e396a, 0x3e85f860, 0x812e99ff, 0x2257ff95, 0x212894aa, 0x416d9b06, 0xa3ffb9c1,
+    0x467d0e6e, 0x1b9ab16e, 0x3260da90, 0xada00a9b, 0xeee895a6, 0x1904f93b, 0x0445eeb6, 0xfa148983,
+    0x7c41dd9e, 0x533f3227, 0xca3a58c2, 0xfafaf155, 0xa3a943fe, 0x76971c21, 0x78441ab7, 0xc868af3b,
+    0x1672a5ac, 0x80b29d42, 0x15660f6e, 0xae6af679, 0x90b8c38b, 0x5304ad2f, 0xfc7a4a7f, 0x13761ce0,
+    0xadd7a31b, 0x5a3031af, 0xf8aa4bb6, 0x29caf8bd, 0x99deb1cf, 0x0aeea2cd, 0x287d1996, 0x8ca3652d,
+    0xea945ee1, 0x949e9729, 0x3a06f329, 0x8b961e78, 0xb9854278, 0x4c57d761, 0xf205b2b7, 0xb4bd41eb,
+    0x43d618e1, 0x033781a1, 0x6ae26e98, 0x4f757bb7, 0x75d3f570, 0x0e9aee01, 0x70646753, 0x9605626f,
+    0xab4d209a, 0x11d5cf80, 0x62c57cc7, 0x0c3011d9, 0xd082c02a, 0x9ff21407, 0x41e15617, 0x974f04fe,
+    0x6948d848, 0x9549e0a3, 0x24392af3, 0xb82cd102, 0xece817dc, 0x538df3c8, 0xae751608, 0x8e2b0e9c,
+    0xefd96d9a, 0x92586bfc, 0xa208f44a, 0x101cb327, 0x75625d60, 0x49d860f3, 0xb064c9d4, 0xd49df438,
+    0x9b652f12, 0x7d355eec, 0x62cd4ddb, 0x872d44ef, 0x9d0612ae, 0xc4aaa685, 0x1b4b7a2d, 0x52b445e0,
+    0x8e5a9b57, 0x8595f328, 0x1c1af48e, 0x1bcc59c7, 0x12678bf3, 0xe28112ad, 0xe8b2a3fb, 0xcb50535b,
+    0xb53872ce, 0x2c3c931d, 0xc1ac7940, 0xe13a1585, 0xf1c1cf1f, 0x8191b6ad, 0xb398ca94, 0xd0d4d5f0,
+    0x26152b8f, 0xee243923, 0x351e98a8, 0x5f542112, 0xefe508f3, 0x4b20f3e4, 0x14d5bdc3, 0x6cd0dc79,
+    0x8b7844c3, 0xe8820057, 0x704a4862, 0x8e99e17a, 0x54ca5937, 0x2dad187f, 0x503c815c, 0xdd9962e1,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000187883406621906658231158447743146\
+                          96219005460391266558965658327772257672200916867547709591987078149624255479808 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25,
+    0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d1, 0x87a62f99, 0xaf021622, 0xae0c5c1d, 0xb41549c4,
+    0x00000000,
+    0x9179284e, 0x02ce3f12, 0xa599fec2, 0xb185e33a, 0x4bce571e, 0x9390fb8e, 0xb5793c75, 0x20a4e173,
+    0x5b110d6c, 0x3aef7e89, 0xf049fcbc, 0x153c8ff1, 0xb3616117, 0x4291d1d7, 0x5c1fb12c, 0x6a93ff3f,
+    0xbadef8c2, 0xe9d5baeb, 0xc8105307, 0x096da74d, 0xeb7873fb, 0xb06a51fe, 0xca7969bb, 0xfb8ec1cd,
+    0x2ceebcbe, 0x3a9033de, 0xe0575b1f, 0x532a8652, 0xcb0532dd, 0xcffcfc52, 0xe9c1f9ba, 0x22f64fc9,
+    0x438f120b, 0xea043999, 0x4f1b8bd3, 0x598eb142, 0xc18d1b7b, 0xf005229d, 0x8ca1f229, 0x07ffb730,
+    0xa3109e66, 0x33286901, 0x75e73cd6, 0x5294b596, 0xb21fa370, 0x68761d5d, 0x04cb144e, 0x2f01a644,
+    0x5f3bf1cb, 0x1cb13db3, 0xf50044d7, 0x92b08c16, 0x7c2ac06a, 0x6a5efd4c, 0x936ac085, 0xbc593dd8,
+    0x0d384eae, 0x2df87462, 0x125488a8, 0x0c4d4c10, 0xca933c46, 0x83840665, 0xbf55fabb, 0x7bc31b77,
+    0x9fbda584, 0x81b6405d, 0x61f232ba, 0x5a2052fd, 0x06a70ea0, 0x3bb9fb0b, 0x8b3c37d9, 0xca9b60e3,
+    0x1b63e7b9, 0x5dad07f5, 0xd8d41013, 0xa3c4407b, 0xc29ac75a, 0x5faa3e58, 0xe720f666, 0x43a39668,
+    0xa60b73ac, 0xe9b4a872, 0x4577f5ee, 0xd8a44cb3, 0x1a512bd0, 0x82147517, 0xeb18ed5c, 0x74ce083e,
+    0x395f1e11, 0xf9773f3d, 0x0a199c1a, 0x7fb252ec, 0x35c6e200, 0xd0c01541, 0xff222f3a, 0x143844bd,
+    0xc2dd39b5, 0xa757022f, 0x1d5b89c9, 0x5ccdfa3b, 0x8122960d, 0x575ad5c8, 0xd800a6a0, 0xc82f52ae,
+    0xa280ca78, 0x0812ed73, 0x04319a31, 0x6ab7df5d, 0xd9e4731f, 0xdff0c819, 0xb0c00a61, 0x4b0523ed,
+    0xdfda046e, 0xf37348d1, 0x72621d77, 0x960d0a21, 0x350af192, 0x77ac69e3, 0x3cdfe756, 0x54481c3d,
+    0xc23c246e, 0x28ca4e94, 0x03c16b95, 0x6f76cdc6, 0xce94156b, 0xd345f2c9, 0x638cd8f1, 0x786095a3,
+    0xcff05b6d, 0x01e4aacd, 0xef90dc84, 0x2276bf2d, 0x2287e559, 0xa158d7ab, 0x50b5bf78, 0xd27a5e59,
+    0x8b8a0f8e, 0x7af38064, 0x4856352d, 0xa379638a, 0x32cbca23, 0x00e1da5b, 0x6c58a0f0, 0x1363feac,
+    0xd1473545, 0x16b38d28, 0x8b1249d4, 0x426baacd, 0x660936fe, 0x2967c430, 0x2a90a78a, 0x614652fe,
+    0x656f3c82, 0x10a25cc6, 0x77408f6e, 0xc0a05545, 0x02747d84, 0xb09d15db, 0x72b49f68, 0xbc30bf49,
+    0x7961e29e, 0x23955389, 0x3053a22e, 0xd2d251e3, 0xb8455163, 0x097e9bb1, 0xb5d768fc, 0x7b49607f,
+    0xe6a432fa, 0x9b34d728, 0x71186529, 0xa96304a5, 0x8bffb795, 0x5f8d36d7, 0x27fb8b40, 0x2d8a691d,
+    0xe891f318, 0x351282a1, 0x4a39c941, 0x02dffa9e, 0x7cb9f733, 0xeda235e4, 0x006f2829, 0x41417ef0,
+    0x6f2edd08, 0x70262d55, 0x7e6f2046, 0xdd45e634, 0x7caf072a, 0xe05f94b3, 0x090c9d4f, 0x6fa4faf7,
+    0x7b48cd5e, 0xc3c9389d, 0x32a6ff6e, 0x42e52f32, 0x64a68a4f, 0x89a7df53, 0x64699e3a, 0xa3446483,
+    0xfcb6d058, 0x89e62b14, 0x4a54aab9, 0x29b0157f, 0x69af7cdf, 0x2c736016, 0x4b4e23a4, 0x5883ad06,
+    0x772a364b, 0xc5d1c098, 0x88ff07a4, 0x194b8f2f, 0x25b145e9, 0x135a7516, 0xec9ad33c, 0xafd5141d,
+    0x09863d1f, 0x6e3b07ff, 0x10edf1e8, 0x8c608c12, 0xbdd8a124, 0xf00a5b29, 0x034ac6ca, 0xc4c8a049,
+    0xd40953b0, 0x256f4f73, 0x7e1933ae, 0x1f2cdee8, 0xb5e819bf, 0x44c34007, 0xc6733188, 0xcddca0f2,
+    0xd231754b, 0x6d3ad62b, 0xdef6e10f, 0x82d4f72f, 0x62798f5a, 0x93be56d7, 0xa28ee744, 0x8db5950c,
+    0x8bc392e4, 0xa8de6bba, 0xc7acc284, 0xe37bd3be, 0xc37a38af, 0x99f6f497, 0x2b981b59, 0xe28ef11e,
+    0xa9461a36, 0xafc58083, 0xda769b51, 0xb8aaea6c, 0x6ee94eae, 0x5b294f5c, 0x11d4e153, 0x8c5dbd8b,
+    0x68396a26, 0x8719467d, 0xf8aa1bd9, 0x81911f7e, 0x22d2776a, 0x31739751, 0x47f298f5, 0x4b03158b,
+    0x671a86eb, 0x9dda413d, 0xec75b463, 0xbe8d081a, 0x5221bc3f, 0x6008143f, 0x92bdd9a9, 0x4865d22d,
+    0x6206375e, 0x3ba1d489, 0xe5683e0f, 0x3fa7bce6, 0xe934b187, 0x4928d957, 0x5f7b8469, 0x1149e9ba,
+    0xa7119175, 0xb05942b4, 0x27c0a977, 0xf45889a1, 0xc3c3ea8e, 0x1a6eafbc, 0xa8012a50, 0xa268f5e0,
+    0x5efbf653, 0x48696252, 0x13829dff, 0x1738099f, 0x1fa637e2, 0x561a01ea, 0x0bae43eb, 0x8d608df4,
+    0x68ff10fa, 0x3ed69c1f, 0xf1d7a002, 0x6886bd8e, 0x89b918af, 0x23645daf, 0x4e7f3c93, 0x726ae6b7,
+    0xa446ef9c, 0x66b2b4af, 0xe1323f36, 0x4144be8f, 0x121daaca, 0x5f71241a, 0x9dc72951, 0x6c060c54,
+    0xabe69a9f, 0xa15f359c, 0x459c6e19, 0x1dfce33e, 0x1062798a, 0xa2f813af, 0xc8c4479f, 0xaa79bd60,
+    0x4ed8f323, 0x2599ac78, 0x867ae4da, 0xcdcf27a7, 0xb060c43b, 0xb4575a6f, 0x415771da, 0x3abbd4e8,
+    0x04cb0faa, 0x43e334b2, 0x7277f546, 0x0f72a84a, 0x696b8a55, 0x766c2153, 0x2acf453c, 0x65d479ca,
+    0x3013bfb5, 0x3fde9514, 0x23b844b5, 0xffebcc4e, 0x2e24fcd0, 0xfa956f61, 0x792ddf8c, 0x9266a57e,
+    0x72b00ee1, 0x17245f59, 0xa191ec5c, 0xd08342e6, 0x3d6c97a9, 0x826f371e, 0x35e13793, 0x59aee183,
+    0xe3c76e5f, 0x6106c3a8, 0x461f54d7, 0xb2c82191, 0xc6c8b61d, 0xe88d208d, 0xdd9a8f65, 0x89855831,
+    0xdb374e53, 0xf63387cc, 0xd2c257f6, 0x7a940d85, 0x36ea884a, 0x02c48777, 0xa800b50a, 0xdb97c755,
+    0x80fb4876, 0xc02525d8, 0xf4c0af3a, 0xb816c941, 0xe018c6f5, 0xa153125d, 0x13ec75fd, 0xfa790d33,
+    0x4a4f0d72, 0x2dc47e54, 0xa4ca6986, 0x35901656, 0x4bd1be09, 0xe0a97ead, 0x25d2416d, 0xe79385f3,
+    0xbeb8a145, 0xaa408b2d, 0x682f9ce0, 0x96dca166, 0xcd9d1ff1, 0x81fee140, 0x2bfba2c3, 0xd6f8bf7e,
+    0x50d1a57e, 0xcd1bfd07, 0x518b8fc9, 0x6e65db0f, 0xb441b605, 0x0d1eb3e1, 0x89cfb1d5, 0xf453df44,
+    0x92ba671f, 0x31657e05, 0x1ac3e81d, 0x1ec86bc3, 0x8531ddd9, 0xe0c22055, 0x8ff09f8c, 0xa7f134cb,
+    0x2f98d72e, 0x0d0f7fd3, 0xaf3992b8, 0x5d073d9f, 0x7a54460a, 0x84dd20f2, 0xbc464b53, 0x985a6349,
+    0xc60495ac, 0x90b21509, 0x384d9bb2, 0xc26e79b5, 0x31e11c5b, 0x97e8303d, 0xf93e4b57, 0xd5e28723,
+    0x441f43d1, 0xefc2bf83, 0x6314eb19, 0x4c4f9364, 0x5f79205f, 0x58e8d6f7, 0x0e96d9b7, 0xee811fe8,
+    0x67d3da1b, 0x09748cb2, 0xdc286a8b, 0xd1171af5, 0x2eb413dc, 0x90027778, 0x185cbf03, 0x5ccaceec,
+    0x1887277d, 0x81f6dcf7, 0x877bbbb6, 0xa75bd960, 0xa7d8a9e3, 0x9c3a282a, 0x4be2e093, 0x5a2ab2e0,
+    0x35309ce2, 0x2cb6d157, 0x0ad5acdf, 0x8bd000c0, 0x5ab1a053, 0x00865e3f, 0x3ca5282f, 0xe3a33269,
+    0xb5e784b1, 0x234ea9ce, 0x05ee46d1, 0xe4b66c72, 0x767f5260, 0xf2db79e1, 0x7f102ba7, 0x23f47eb7,
+    0xffb7d5c6, 0x51e1ed62, 0xa3a77fb3, 0x05b24705, 0xb8ca410a, 0x079bd735, 0x901af018, 0x59276669,
+    0x5cee2daf, 0x0623f88e, 0x2a459d19, 0x0a620ff6, 0x683185d6, 0x6a9beca0, 0x02f4432b, 0x5c858138,
+    0xb4dd4328, 0x568ce207, 0x6b89d93e, 0xb749f02c, 0x50b0ddbc, 0xdd0b4b92, 0x2f8eb178, 0xd3bd0ada,
+    0xf525d11d, 0x5c899b8d, 0x26fd6c11, 0x8211757a, 0x60fe8544, 0xc5bc8fd7, 0x5419972b, 0xd0411830,
+    0x2a61c96d, 0xc35a164e, 0xa3c73072, 0x27d34498, 0x5e020739, 0x8b0d8967, 0x156aebdb, 0xdd2055c6,
+    0x8a6b9f04, 0xd4443d31, 0x43164fcc, 0xf7909611, 0x902c1ded, 0xe5be38b3, 0xef794ddf, 0xe7c7c679,
+    0xd466defe, 0xbeb5937e, 0xf3b7c8a0, 0x633b22ca, 0x7874d40e, 0x34ef0ce3, 0xb2d55b50, 0x1f01e7a2,
+    0xb4a9f283, 0xe2f11e05, 0x9f4a6b14, 0x43929056, 0x06b32070, 0x9d44336b, 0x7ead6816, 0x9456a3a3,
+    0xdfcdfbb1, 0xa7164d06, 0x4038b51b, 0xe1207f94, 0x66cb5978, 0x5ed1c735, 0xe8008b05, 0xf1a86554,
+    0x4afc6c2e, 0x304b088a, 0x4c2384ee, 0xc57a0bd0, 0x4e27e412, 0x60b50fdf, 0x4b9c3330, 0xfd124a4f,
+    0xb32437b9, 0x56365509, 0xabb44407, 0x76687779, 0xbe511ae6, 0x87c906e1, 0x56767cbb, 0xb3ad594a,
+    0x3e52da69, 0xa349236c, 0xe915e7ab, 0x9e9066f9, 0x1e497ddd, 0xaa4dafe4, 0x97bcde44, 0x4451b55e,
+    0x470b143f, 0xa0de003b, 0xaf8ea234, 0x98cc12c0, 0xfd2ca6f8, 0x2aab8558, 0xb0418847, 0x7957136c,
+    0xfc0b6124, 0x06eb833e, 0x17fdf4a9, 0xd2307311, 0xe93f2d06, 0xf865b49f, 0x0b14a760, 0x4c2060cd,
+    0x2d55d194, 0x17cc56f5, 0xa8e57ebe, 0xa5dc3095, 0x23056c2f, 0xc7a39a66, 0xb30603ed, 0x6cf0dfc3,
+    0x503efe13, 0xd7f5e110, 0xc8d23e68, 0x0f88ee4e, 0xaba3aec1, 0x4485c948, 0xce2466ba, 0xbc863634,
+    0x22e5f219, 0x29006d2e, 0x0cfb487b, 0xc86ed206, 0x1c2639ca, 0xcfc81741, 0xae53fe66, 0x2b6c7807,
+    0x9c719396, 0xad49404c, 0x279ec470, 0x913e7bf9, 0x0772386b, 0x579c4c40, 0xce3e1520, 0xdbaf72bc,
+    0x026d7afb, 0x1101d273, 0x490f3771, 0x6aaf7999, 0xc8ec32fe, 0xbbaa1713, 0x91259e74, 0x4b082e3a,
+    0x57baaea2, 0x6184d2cc, 0xcc320466, 0xc5bd7e09, 0x5f62d0b8, 0x79e7ff9c, 0x5ff2ca51, 0x78e5cfb7,
+    0xa99e5e4f, 0x990792aa, 0xf4495101, 0xda93b8e6, 0x192a9c83, 0x9a6228f2, 0xc04e8e2f, 0xdbb0004a,
+    0x75763aea, 0x34354929, 0x1f9df18c, 0x62de2d28, 0xf0ab6286, 0xa5e3bd97, 0x577deb14, 0x01166a8e,
+    0x55e8b733, 0xfac4c138, 0xf2e553e3, 0x9c0ac152, 0x87821521, 0x1a6c5af9, 0x5516e5b4, 0x39e7aef9,
+    0xafb50793, 0x531885b4, 0xe267df68, 0x48895995, 0xc8dcebc8, 0x7d18ac2d, 0x9486fc1e, 0x09290eb5,
+    0x5b4635d9, 0xc1119c77, 0xece1753b, 0xc8f00ca3, 0x6f8f4384, 0x8ed9f62d, 0xf0ab9bd3, 0x33bca203,
+    0x5d6eda1e, 0xa2c7627c, 0x588fdb63, 0xd2d788af, 0xa75a5d13, 0xf6117a58, 0x3b42227f, 0xd45cffd8,
+    0x260b7281, 0x7fcd648b, 0xb7b18f4c, 0x6267dee0, 0x6c4bc608, 0x29a8ed2f, 0xb0b65750, 0xf7744b5a,
+    0xde7ebb70, 0xb786e9a1, 0xe672b50d, 0xb9b3fbe0, 0x8af518d1, 0x1c512faa, 0xddb9224f, 0x321de5b2,
+    0x37eed0fd, 0x070f05eb, 0xc9ff32d6, 0xabb832d5, 0x7d191741, 0x3a96dc21, 0x70464272, 0x4eafb823,
+    0x925110b5, 0x57717b69, 0x252a2320, 0x608611cf, 0x8285dfe1, 0x883849cd, 0xf84a244c, 0xeaa8e0b0,
+    0x4d23e840, 0x0d5dda5b, 0xb076cfa7, 0x6494f973, 0xa5f47fb9, 0x4373afd6, 0x1841c430, 0xc301ac0c,
+    0xec079421, 0xec07c93a, 0x58096e91, 0x6b75d901, 0xdbb49127, 0x870cebf5, 0x94e694bd, 0x0860b311,
+    0xbb4a560e, 0x9559bf0d, 0xb00503b0, 0xb9ad3283, 0x54ae77df, 0xcc2f1c78, 0x1ce52b18, 0x3c3990a6,
+    0x2af824cb, 0x5b053e50, 0x4a5aa2db, 0x3789fbb8, 0xaac4c47c, 0x105ada55, 0x8808b80f, 0xe881966c,
+    0xace8f01a, 0x748ec08b, 0x1c89ae92, 0xc5eac202, 0x06e10bc8, 0x4ecd5832, 0x94bb9071, 0x450c6539,
+    0xefb4d52d, 0x123ee314, 0x2ab5ffe9, 0xb41eb31c, 0xe466a313, 0xaedf4285, 0xf60ef803, 0xcdd7afe8,
+    0x101af071, 0x1867ba5e, 0x6a559d84, 0x438353d2, 0x4a13e4bc, 0x379ffe9a, 0x01ec883b, 0x38eca263,
+    0x8dd94059, 0x003e4bb3, 0x02e18e28, 0x01f87517, 0xe4c81a5a, 0x414aa17e, 0x64a9ed29, 0xf5a6b0c6,
+    0x28133b9a, 0x128c6cca, 0xb2c79177, 0x9f433506, 0x921e47d6, 0xa89d74d5, 0x48feddc6, 0x6e7a7d79,
+    0x218aba4e, 0x4dbe96ce, 0xa397a2c3, 0xea2437f1, 0x469f9853, 0xe27e7f4e, 0xc5933c2e, 0x264fd907,
+    0xf6294735, 0x390ff339, 0x90ddeabc, 0xfcfe4771, 0x26ecbaff, 0xf791d240, 0xf4446c96, 0xd564b274,
+    0xc1d5bf72, 0x2f97aaaf, 0x86497ea0, 0x093bbf2e, 0xb1c7f951, 0x128518c9, 0x5dc744c4, 0x3e247f34,
+    0x09f1c885, 0xbdd09537, 0x32c2f48a, 0xfeb7a1a0, 0xfcad1c8f, 0xf79fc9d8, 0x858731d4, 0xe8737733,
+    0x461f4d83, 0xefe3427f, 0xa4736615, 0x19d2a5c2, 0xd38e9856, 0x2219bb48, 0xf584ef58, 0x4532ec9d,
+    0x2878fb95, 0x6bfaef7c, 0xe4254bba, 0x9aaa64ab, 0x803ad5de, 0x6a16e46d, 0x1c0c6949, 0x4059e9a3,
+    0x90ba4c52, 0xd412fe96, 0x913e98b2, 0x25c31ea1, 0xaf52492d, 0xb96c4ee5, 0xa9dc4fd8, 0xd696170f,
+    0x21244c89, 0xe73c4a55, 0x70791dcd, 0xd16a848c, 0xaa6e50c5, 0x9bdf18f5, 0x034e3096, 0x5f237e7b,
+    0xbe40483e, 0xc8143009, 0x512df0fe, 0xb063894a, 0x821fdcfe, 0xc17bc7c7, 0x2b526c61, 0x97d44aa7,
+    0xb82e7239, 0x17f21f3f, 0x8010d1e9, 0xa7ba8ad1, 0x8867ee9d, 0x3bb86369, 0x5e12fd08, 0xdde35804,
+    0x34e26189, 0xcf50f3dd, 0x7be54270, 0x7d9b45d5, 0x213a44ad, 0xb7418615, 0x53df94eb, 0x2927823a,
+    0x0b6cb385, 0x0252c334, 0x813c3680, 0x2a45c374, 0x9a4c75a9, 0x7cad9c7c, 0xd3f0b8d5, 0x2a4db6c0,
+    0x3c6c0009, 0xa863cc74, 0x650e8c12, 0x70c61bf6, 0x050e7fd5, 0x7b71b28c, 0xd30f213d, 0x55618e6d,
+    0xf420fd3e, 0x8990d9ca, 0x23111e83, 0xb812a1f7, 0x2847083b, 0x3823257b, 0xa7376049, 0xe079c155,
+    0x60f57e17, 0xf67ecfbc, 0x4ecef3d4, 0xf443ccc5, 0x67cd0fce, 0x5a2d8053, 0x16c2820a, 0x105521c0,
+    0xe7094ad6, 0xc9f4cf3b, 0x3d3ed57a, 0xf800f34b, 0x8e5033ee, 0xaae44932, 0xd893b2b1, 0xe738fef7,
+    0x4f004a26, 0x261f3712, 0x4389be0f, 0xe80e73c0, 0xe8ae1fc5, 0xe636293f, 0x2f5be74f, 0x738049e7,
+    0xf4b0e199, 0x649111d6, 0xa149898e, 0xd09cfe6c, 0x82b80e74, 0x43b314af, 0x510dbf47, 0xb0994a25,
+    0x70260f47, 0x3086becd, 0x0a28f5be, 0x590f4d01, 0x24cef543, 0xfe8964f4, 0x5f8c9929, 0x6b74245d,
+    0xa3e895d8, 0xbee5444e, 0xa011ddb2, 0x57be7c3c, 0x156a1d62, 0x62205727, 0xe35de7cb, 0x649e7528,
+    0x02162bcd, 0x3c9057fa, 0x087e60d0, 0x25091b54, 0x0bec5f4b, 0x2dcf0c83, 0x054cd058, 0x412424de,
+    0xf6d1770d, 0xe05db5d7, 0xe8e580e7, 0xd4bc583c, 0xe9456217, 0x8a734c2c, 0x1a5daeb4, 0xfcef6fbb,
+    0x4da4900e, 0x91119565, 0xfac082ef, 0x08aaad46, 0x81079289, 0xe8ed664c, 0xb5269a6f, 0x202f6890,
+    0x74b783fd, 0x398eeb0f, 0xba512aac, 0x67be3732, 0x5f449340, 0xc3d4c9a7, 0xcc534c05, 0x80d84145,
+    0xa94c7e9b, 0x8cf627d1, 0x61b1f10f, 0xe373ef5f, 0x24bbb443, 0xbdd0a3cf, 0x3305b6bf, 0xbd62639f,
+    0x0f93b55d, 0x6db3d9f7, 0xd27ef6b3, 0x7df45f6a, 0x0d3c0bde, 0x175a4bb5, 0xc9fe8d0b, 0x4effe2dc,
+    0xb3a707ba, 0x29e81037, 0xadafe543, 0x9da52997, 0xaf1d704e, 0x5d013a73, 0x05c20ac0, 0x3cb8f3aa,
+    0x3cd67431, 0xa9b1e9e2, 0x278fa527, 0x550746ca, 0x174a0685, 0x69787ad6, 0x44cb9497, 0x372d2f46,
+    0x26c091e1, 0x4f6da4ac, 0xc2d6db80, 0xfb59acbe, 0x0a87281c, 0x00ce7fee, 0xade3d3bd, 0xec660ca3,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000093941703310953329115579223871573\
+                          48109502730195633279482829163886128836100458433773854795993539074812127739904 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592,
+    0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe8, 0xc3d317cc, 0xd7810b11, 0x57062e0e, 0xda0aa4e1,
+    0x00000000,
+    0xc0facc66, 0xc496e3dd, 0x3f685fca, 0xbf00c0c0, 0x0cb39709, 0x9b2b8bed, 0xb3c69623, 0x68ab3cb2,
+    0x10978495, 0x186e7e32, 0x6def8acd, 0xcf93bb0c, 0x2ba0444b, 0x88cbdd49, 0xabc3e621, 0x00a88dc9,
+    0x83f0dbec, 0xa5186069, 0x9ddbd56b, 0x2e2e0af8, 0xdea2a5c2, 0x44ba41c3, 0xca538da7, 0x468fc040,
+    0x0e5f3560, 0xbc751cd3, 0xd4edaa8e, 0xd8afe027, 0x955fa97f, 0x7e02847e, 0x3c84b474, 0x545869ef,
+    0x8fd44838, 0x8bb10ce3, 0xad8339bd, 0x6bcb8e11, 0xef5ffd7b, 0x1db77c03, 0x9cc25bf0, 0x4cd79581,
+    0x399c27fa, 0x4f0a06b3, 0xc8a6a955, 0xdf50e52c, 0x1416e19c, 0x5e36b847, 0x938af64d, 0xce491854,
+    0x195f2207, 0xb24b5384, 0x9e6c93cd, 0x09ffc098, 0x3b2f1f97, 0xd2290bc5, 0xf3b3a85a, 0xe8b4ee14,
+    0x4c6e22c5, 0x387004da, 0x628f2ad3, 0x0d48641d, 0x48bec48a, 0x8a6b7348, 0xb0f4f8d8, 0xeca5694a,
+    0x25f86481, 0x088be445, 0x9357f22e, 0x94034cf0, 0xffdb1c31, 0xc724f26b, 0x71c31cfe, 0xfe3aed7d,
+    0x6c52c828, 0x68267a1c, 0xfe9e813c, 0x50229e90, 0x2a22e7c0, 0x48441f7e, 0x8fd12cf8, 0x73dbd11c,
+    0xf25e86be, 0xb1f4569e, 0x043a01b7, 0x2c13a26e, 0xc6128601, 0x3dec49c7, 0xfeabd491, 0x8a01264b,
+    0x2d78a40c, 0x66b6be21, 0x11c258b9, 0x7afe486e, 0xcb6c1909, 0xfe256160, 0x51dfde25, 0xace1b153,
+    0x91c2d55c, 0xcb8df48d, 0x13a20879, 0xc22df902, 0xd7cfe934, 0x0a50bcf3, 0xbbdcf296, 0xa74628bd,
+    0x1dbdeafa, 0xa016a503, 0x8e581ba1, 0xb72f76f4, 0x5c94b381, 0x29fb33ce, 0x3b229688, 0x6dc7a60d,
+    0x67bac065, 0x954c82b8, 0x50361a71, 0x0f9cb5f0, 0x87902b42, 0x44c1fa60, 0x08a596b0, 0xeb838d88,
+    0x74c504e6, 0x72e26c80, 0xc6589b93, 0xf85f4ac1, 0x9f3a3fbd, 0xb02e3596, 0xf70eac23, 0x73afe6da,
+    0xd0b987d8, 0x942db873, 0x1454ae86, 0x097ea5dd, 0xb3774375, 0x594c305b, 0x71474e0b, 0xda4c0470,
+    0x3e2e62f3, 0x2641b33b, 0xaca0b389, 0x5516bc20, 0x33e93f59, 0x2160b967, 0x413fd616, 0x9883b366,
+    0x42783337, 0x848ab3a3, 0x55b5cbbd, 0xa329cef0, 0xe45fbeee, 0x7fa1f24b, 0x3ce6cfa0, 0x01ba0a85,
+    0x5a338559, 0xd6dc3df3, 0x8c3b3c80, 0xabc208b2, 0xe2592883, 0x4b62cfd7, 0x4b4c7ccf, 0xf9223841,
+    0x5721258c, 0x0155dcb8, 0x013c2207, 0xbcb32002, 0x45d37eae, 0x55b0facf, 0x3f55cf93, 0xf2a6fdc3,
+    0x9f0a2ae4, 0x2dac9d6e, 0x7f4e3251, 0x7214859d, 0x63add4ab, 0xf9b1de38, 0x8551a520, 0xed4671f6,
+    0xa90b7222, 0xb19aa66d, 0xb439b8f1, 0x352b8d6e, 0x76b577b1, 0x9ca04177, 0x3edd37bf, 0x434d515b,
+    0xe86d662c, 0x9be55b86, 0xc531a82b, 0x333b1eae, 0xc0b14b34, 0xf8c2258b, 0x56e1ea34, 0xc73bf0c0,
+    0x2d593005, 0xc815ea0e, 0x35af230f, 0xcf41d2d8, 0x8b8332b3, 0x37605de8, 0x0340c450, 0x9c144609,
+    0x2106a405, 0x29530497, 0xf0c26a56, 0x37fac984, 0x9f4d6b26, 0xfa0357db, 0x96f5e9d0, 0x5ae839f6,
+    0x90de1211, 0x5c6b286d, 0x6ac2a12a, 0xfc4f5812, 0xb74e8b79, 0x4e733bb2, 0x5142434c, 0xb353ae19,
+    0x44cc1665, 0x99d6e31f, 0x76067a66, 0x7b4591a6, 0xb4b16d7d, 0x1c3ff5a6, 0x159936a6, 0x0ff36224,
+    0x5d47a8b6, 0x04511377, 0x676f701d, 0x68c06c2c, 0x336735ec, 0x6ea90386, 0xa89c5780, 0x6ac68679,
+    0xf496c47a, 0x04a73bae, 0x8ef51851, 0xc35ae0b9, 0x67a6cfad, 0x2847efa9, 0x19edc5d9, 0x7cf28dcf,
+    0xed22ed06, 0xf3369c38, 0xf92934ca, 0x82f06cbb, 0xed9dfddc, 0x6dabd4d2, 0xe62c27f5, 0xa36f67cc,
+    0xa6b2ccf4, 0xff2b4b47, 0xff54f435, 0x99d4bd0e, 0x535f2cc7, 0x9906c8ee, 0xf5552ee3, 0x22edd930,
+    0xf4dabba4, 0x7482026f, 0x5b6042aa, 0x9f18879d, 0xc16dc906, 0x0619a689, 0xe3c17d21, 0x5c0850b2,
+    0xb9e94164, 0x7dc2e252, 0xe5016efa, 0x14b4fcbd, 0x5046d1c4, 0x261cb48c, 0xf6cc1b64, 0x6ed7cc0d,
+    0xf805a858, 0x4dbf09f0, 0xb8e38fa4, 0x9a850b3c, 0xbc24dfd2, 0x2cc551cc, 0xf9be620a, 0x70f757aa,
+    0xa1a940eb, 0x3a22f9b8, 0xe91dd551, 0x0a8f13d3, 0xb9b5ad34, 0xaeb8f707, 0xbc611e37, 0xbcb19bb9,
+    0x4e802d5b, 0x0356a9a5, 0x74b06e2a, 0x9ee016ee, 0x6361a256, 0xa1c562d1, 0xbf481ef6, 0x0336976c,
+    0x7e29fcde, 0xa9b0cc3a, 0xc8505f03, 0x9098aa06, 0x6159002c, 0x45e873e1, 0xc1ff5334, 0x25dfe6b3,
+    0x165399d5, 0xd7f4936f, 0xfd2eb399, 0x0445bc0f, 0x06f1ca00, 0x6ab13e8c, 0xc0f6d053, 0x8228fa40,
+    0x72826739, 0x2dbb0b73, 0x94cc6918, 0xe2f01f80, 0xa2ecb9a3, 0x45b9a8fc, 0x8fe146bd, 0xdeb47f1a,
+    0x9b2f3c7b, 0x978789b5, 0x33ea5e4f, 0xb68e1623, 0x0c7a0474, 0xe39fb5ec, 0x4ad8236f, 0xf4a0a7bb,
+    0xf10d6f3f, 0x4fda970c, 0x918b4867, 0x8321da78, 0xb7655c15, 0x5d75676d, 0x50c10d45, 0x442d3b45,
+    0x861e81d5, 0xcd0f8dd7, 0xb7863006, 0xcb842844, 0x7e17e913, 0x718a64e5, 0x943042c8, 0x5439efdf,
+    0x40e77da1, 0x528d6149, 0x0c514e44, 0xb068542a, 0xf7727ddb, 0x34d2ae79, 0xb92c2b8d, 0x47e64b34,
+    0xa9a8ff0d, 0x5ded8b4f, 0x4bd4a486, 0x3dca7053, 0xdf82d14f, 0xfa083bad, 0x825c7898, 0x3d1b442e,
+    0x077e930c, 0x9ea83796, 0xb42b3c0c, 0xa72f7cfe, 0xf4ca9592, 0xdd44add4, 0x4a8f7886, 0xb7b5ada1,
+    0x27230e61, 0x873cfb35, 0x851d2e7f, 0x9ed974cb, 0x270d8937, 0xf12ae558, 0x203b4949, 0xdff84e57,
+    0xce6d72cc, 0x49cbddce, 0x2ce8e0a6, 0x186a30d1, 0xa2caca08, 0x8c094b5c, 0xb371d720, 0xcfb3e300,
+    0xfca1fb9c, 0x4454b6c7, 0x54d35b35, 0x0a8bde5d, 0x2fbcc2c9, 0x7e4e3c02, 0xd0d675c2, 0xc55c5bd8,
+    0x1e190996, 0x1b7e852b, 0xc155a856, 0x1d60e57b, 0xe7d02a60, 0x93a70dce, 0x29b1e29d, 0x7204b514,
+    0x2a88eea1, 0x99aa055c, 0x4675ee28, 0xe93befa0, 0xb6307612, 0x19706296, 0x512368d5, 0xff73b462,
+    0x72a24ba7, 0xe340f6f9, 0x13cd1d9e, 0x7778e118, 0x991c2141, 0xf0ba64a7, 0xa2528b3f, 0x18b9c01e,
+    0xb0359979, 0xe54d1710, 0x8537a27b, 0x4f4b7a62, 0x285eaa00, 0x0107d43b, 0xcf70b75c, 0x0ac8fdcc,
+    0xf8023c1b, 0xace0547d, 0x61bb7c82, 0x9a824b5d, 0x24f9c4b1, 0x552030ae, 0x8f619d29, 0x7000ce0c,
+    0xf38a6c79, 0xa0880a55, 0xb2ee9ab5, 0x0f8da0a5, 0x7de553de, 0x9370371d, 0x67165ce7, 0x7d109910,
+    0xcb675087, 0xc976202b, 0xfcb068da, 0x871f04de, 0xa97fa079, 0x4c908c59, 0x5be6a4fd, 0xd4dd09cd,
+    0x48fd7389, 0xec5bb601, 0x81b40bbc, 0x9f16b077, 0xec9442d2, 0xdf82048c, 0x730c09ec, 0xc0fd8471,
+    0x3ff35846, 0x28ca8229, 0xdce13428, 0xcc07fa2c, 0xcaefdbe0, 0x9004f148, 0x410c6e17, 0xeb4419c5,
+    0x8a780fa7, 0xbea24710, 0xcdc0523b, 0xbc10c9a3, 0xe6ba5f94, 0xba2df0e0, 0x78408d83, 0x0a43ce1c,
+    0xb6b5b2d5, 0xec072e37, 0x3c3acdd8, 0x409b3775, 0x761bee19, 0x1d19b15c, 0xdf89f022, 0x4134e392,
+    0xaeb9aebe, 0x88b06fc1, 0x6b594d1d, 0xdfdbbfdc, 0x95c28fa9, 0x71c94c35, 0xdd7bdda0, 0x6633f3ea,
+    0xbfd87916, 0x04a70d5b, 0x191fad2b, 0xcb5943d1, 0x39a24114, 0xdcdac27e, 0x6d79f7ad, 0xb698eb4a,
+    0xc6ec1da4, 0xd9bdc0b9, 0xcab1ef2b, 0x20baea93, 0x1b5868bf, 0x4a3b2941, 0xc9491d14, 0xea2a2947,
+    0xae92024c, 0x171f7508, 0x09ab8d68, 0x1ea7af7b, 0x79e431bf, 0xb988bbf7, 0xb90094a3, 0x5d2b1942,
+    0x6a5aead2, 0xde149276, 0xbeb8c8f7, 0xdd1a9a3e, 0x1353aacd, 0xd2ea53f1, 0xa1e2c5fd, 0x51cf9a5a,
+    0xb0f775e7, 0x2d021f9c, 0x2c221b8a, 0x02881da6, 0x2fd92c98, 0x80bb883b, 0x7540356c, 0xec6feaaf,
+    0xc5cc285a, 0x8e453d4a, 0x51997e22, 0x0b591642, 0x3dbf9a0a, 0x61d8603f, 0x54763162, 0x2071b1fd,
+    0xa484c37d, 0x60c1e380, 0xdfd475b1, 0xc138e5df, 0x568d0f96, 0xa4c237f7, 0x8dee2723, 0x677c41c8,
+    0xb3c85872, 0x507da5ae, 0x16507217, 0x5e2a23a2, 0xea3b7fc1, 0xa3523f81, 0xb4441c24, 0xc286f1cd,
+    0x5abbac1d, 0xb49430ac, 0xde11db3f, 0xbe084bc4, 0xc51ef71f, 0x05f6edad, 0x753fde0f, 0x5f44707e,
+    0x906ea1c7, 0x54efb973, 0x48c78b4e, 0x3023b5d1, 0x6c102ef1, 0x76ffed79, 0x03d92a31, 0x4e8ba6bc,
+    0x1590527b, 0xc0360c34, 0xad950e15, 0x19dcbe77, 0xde5b3896, 0xca4bdd54, 0x04a4eb14, 0x2a3da1b4,
+    0x0b863dfa, 0x1eb6e981, 0xe2c60218, 0x90ed8a77, 0xd8c43fbe, 0xd46a979e, 0xe0f483f7, 0xfb0036bb,
+    0xced4732d, 0x6fcc4cfd, 0x13b47cb9, 0x9c25d127, 0x909e6357, 0x84c144c5, 0xcdcf00e4, 0x76715c5a,
+    0x13404615, 0x55b99645, 0x16f2fcbc, 0xbe6bd79e, 0x571b83af, 0xcb464a65, 0x6f577a5a, 0x81fa22d8,
+    0xaaeca116, 0x14f23438, 0x006bd241, 0xb36e8670, 0xb82df1ab, 0x30fa983d, 0x4d6f14f4, 0x479487e4,
+    0xcc198343, 0x80155b32, 0xbaad6f4a, 0x2348dd02, 0xc32e7dbc, 0x9e7c7e9b, 0x5e04136f, 0x587469d1,
+    0x0e283512, 0xcc27f596, 0x2d9f4b73, 0xdb615b4c, 0x904d6508, 0x521006c2, 0x9ac3e556, 0x7ca8efcb,
+    0xc7e0caca, 0x34322ca5, 0x392bb7cd, 0xe3c2b874, 0xe1816663, 0xcdc1b5bd, 0x3be6629b, 0x92ae4327,
+    0xe2d3a17d, 0x03a04b10, 0x1be1b4b7, 0x3669ea8d, 0x8110f3cc, 0xe7e2865e, 0xf7673771, 0x97f28e14,
+    0x4fcbf738, 0x7339e2d0, 0x24beeb2f, 0xe41ed830, 0xfdaafffb, 0x6db115e4, 0x86f908bd, 0x1c4ca905,
+    0xd26cf93f, 0x193cc087, 0x3832306b, 0xd648eec5, 0x14de1a6b, 0xe7f16a22, 0xdf8bdb6d, 0x032ffc7c,
+    0x9c37437a, 0x9cd2fa53, 0xb789127e, 0x40f685cc, 0x8ea494a8, 0xc665c635, 0x043dc609, 0x19534478,
+    0xa56715ed, 0xb256e799, 0xadec8475, 0x5871d559, 0x0a639439, 0x6790153c, 0x4f204bb4, 0xc7389b19,
+    0x30a57520, 0x118e5083, 0xc69055d0, 0x56201d08, 0x3d3e7489, 0x144545ef, 0xa11ef723, 0x852660b8,
+    0x8e8c0652, 0x3c7309a1, 0x4f25e2df, 0x6d682499, 0xfa784ce7, 0x876a8a85, 0xd8a38782, 0x4a233c6b,
+    0xe6f9ef13, 0x900274eb, 0xaa4aecac, 0xa3cecf50, 0xc2ee8098, 0x7627187b, 0x29a14eca, 0x9578f92a,
+    0xa3d79747, 0xcd71a1fd, 0xb7e77df1, 0x678c7ed1, 0x6f495c1d, 0x127b725f, 0x0fe1c394, 0xb53b53b5,
+    0x0fb457f1, 0x114adc7f, 0x775d97da, 0x281cae56, 0xae1036fe, 0x04f8d708, 0x2a938b6c, 0x9feeb26a,
+    0x7dec3e54, 0xb5557c33, 0x95798b8d, 0x2c6603ca, 0x3c903864, 0x30945600, 0x9be9d203, 0xc898c02e,
+    0x1f87a55a, 0x43837e7b, 0xb6564278, 0xeebea661, 0x2e3bed54, 0xb75cd0ba, 0xeba587fb, 0x71919d49,
+    0xbb3829f6, 0xc704b945, 0xfc2adfc5, 0x0897f308, 0x140bb737, 0xd851463f, 0x9e335163, 0x888f2655,
+    0xa101a62c, 0x629c8cb9, 0x508f568b, 0x6f422a47, 0x0c196f48, 0x2837e135, 0x09a65dd4, 0x03bf6802,
+    0x467d7e8d, 0xd3b88f6d, 0xcc98ef7b, 0x35967707, 0x122bf9c5, 0x9d20f80d, 0x9f62b4f4, 0xf3fdafdf,
+    0xd5cd12cd, 0x5e402d31, 0xd1df4bdd, 0xc1bf04be, 0x427ad8d5, 0x09a7c686, 0x192ef000, 0xc6a8a8ba,
+    0xb7359858, 0xb58e56b8, 0x640e8f56, 0xe4922ca4, 0x55758a6d, 0xef38e41f, 0xa2da463a, 0xa4f66774,
+    0xa74e394a, 0xaa205a23, 0x8a948248, 0xf21ee2ed, 0x513c962e, 0xd9be133b, 0xb4d09f3a, 0xca8f6fc9,
+    0x5a546447, 0x2f14aed4, 0x05319a3f, 0x9d78b7a0, 0x948ec18e, 0x9f32e4bb, 0x9cfcad93, 0x6b7455c5,
+    0xf3a03f05, 0xa27c7c7e, 0x83c6b1a6, 0x12f420c0, 0x887cdba0, 0x4b430806, 0xb070cd52, 0xd63be3e2,
+    0x1d142880, 0xc16d4908, 0x2b9412e8, 0xd53a2c6d, 0x47458679, 0xf0d0cbae, 0x79c8947d, 0xc14f2024,
+    0xb6340879, 0x37aafc22, 0xb86ce3c1, 0x76382394, 0x5b63b82a, 0x44bf61a3, 0xb5d71241, 0x6571dfac,
+    0x6439b803, 0x602ea975, 0x803c22f6, 0xb0533856, 0x13bb88c2, 0xfe6e1db3, 0xb5dcc4cd, 0x7e4ce6db,
+    0x12719600, 0x430bff0b, 0x5cfdc1b4, 0xa34b1bdc, 0x272fa4d4, 0xf1cbb5b0, 0x7091c598, 0xfb29ae41,
+    0x0d56d207, 0x1e20bdec, 0x36ddc2c4, 0xd22208e2, 0x73826d5d, 0x33c8e538, 0x24b5769d, 0x5645e268,
+    0x754251aa, 0xf64623e5, 0xa51ef371, 0x6cc85c97, 0xe67ec4f8, 0xc4e0075a, 0x353b228f, 0xf1dbdab4,
+    0x35053718, 0xf5e03cf2, 0x48b1d39e, 0xb2108a97, 0x65b824f4, 0x3f75801b, 0xb67235d8, 0x6ab83a3e,
+    0x0b90ea67, 0x74ed4c4b, 0x784bb42a, 0x6a1c9299, 0xd0f1a1d6, 0x1df64729, 0x6b8e0a04, 0xad1a38b7,
+    0xa7a5adf0, 0xdcb7b811, 0x02afb2a4, 0xa44643d2, 0xae239154, 0x0c9c7541, 0x8d275e1f, 0x20ca68c2,
+    0x30ab2aae, 0xb307d28d, 0xeca6c5df, 0x83753809, 0x49110310, 0x8f639f23, 0x18632f00, 0xadca619a,
+    0x3e3028c5, 0x97eace3d, 0xa93337a1, 0xed41d1d1, 0x95574740, 0xa0a17839, 0x417af99f, 0xca5f5102,
+    0x0c9216a6, 0x5785c08b, 0x7f30f251, 0x532a2590, 0x05010b59, 0x06fc786a, 0x161604dc, 0x1b38fb31,
+    0x1518cee6, 0xdb6cc267, 0xc58401d3, 0x82857933, 0x0c4609d1, 0x49e65ebd, 0x84b36182, 0x50122f87,
+    0x7c54c83c, 0xbc0009b4, 0x0686ae0c, 0x5d5cbd13, 0x2e09accb, 0x384cd140, 0x9ab4b9a4, 0x77d99b62,
+    0x0e759434, 0xbcce797f, 0xf2a9aa56, 0x91371b8c, 0xa779cb62, 0xfdbec121, 0x1f14984d, 0x866c706d,
+    0x8c6f0dbb, 0x5c53c1ae, 0x42c6ee9f, 0xafe54bb7, 0xf9b06eb5, 0x2636a6ea, 0x94220a6f, 0x29d83e40,
+    0xfd7e746a, 0x4c189371, 0xf4ee7f80, 0x014ff2b7, 0x61f14b27, 0x3582cb56, 0x553d90c6, 0x4268c45d,
+    0xcdb4fce8, 0x70badfdb, 0xbfc6b785, 0x9bd6afe1, 0xdab844fd, 0xf6c849bb, 0x54b05a0e, 0xd817bb5e,
+    0x89de0911, 0xaae3642c, 0xa4c21e7f, 0xc0878ad5, 0x030d29e8, 0x86fb6088, 0x6b8c49e8, 0x73a7576d,
+    0xbced2ee3, 0x06bb5f93, 0xc58dd596, 0x24a03cf4, 0xef369f2e, 0xb3cb27e5, 0xcdaf7391, 0xa3573093,
+    0x358c39d5, 0xd5f6da79, 0x7ff37699, 0x1b15803e, 0xa43115ca, 0x18dbac6c, 0x2b5d3579, 0x09d71781,
+    0xaf9f72b8, 0x437bf0cc, 0x247bcd5c, 0xa7728308, 0xc6b01b99, 0x73ce1bd6, 0x31dbbdcc, 0xc2f17fe8,
+    0x8dad11af, 0xc2f3e9e6, 0x0ce34a50, 0x3846a8d7, 0x5087f960, 0xc7255e3f, 0xfd4ede7c, 0x171e86a0,
+    0x7ece9c00, 0x86875e90, 0x12e0cf35, 0xeed80969, 0xaee04e7c, 0x01da3ac0, 0x8cb30667, 0x0c4c0131,
+    0x9ca2e87b, 0x5ed4fa00, 0x0771572b, 0x25efc1ab, 0xf221ffdf, 0x24817db5, 0x29cc07d1, 0xf7ab7508,
+    0x6ce3e238, 0xe9a68543, 0xaf92ec8d, 0x981df8b5, 0x170ec3f5, 0xb682abab, 0x873e9bfd, 0x590453af,
+    0x1d46faf0, 0xed979e33, 0x15361904, 0x06604741, 0xd2438bac, 0x4458e91a, 0x134f7671, 0x56153f1a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000046970851655476664557789611935786\
+                          74054751365097816639741414581943064418050229216886927397996769537406063869952 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9,
+    0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf4, 0x61e98be6, 0x6bc08588, 0xab831707, 0x6d055270,
+    0x00000000,
+    0x9d2ab29c, 0xc57dc3b0, 0x4b16172a, 0x02aac8e5, 0x2cb201ee, 0xb7a8da4e, 0x7d2b6bbe, 0x9b9e6ae3,
+    0xf92996c6, 0x9c6b8674, 0x736c2175, 0xe1b5a3ee, 0xdffe0581, 0x51e30b41, 0x523d4bd8, 0xc43d9518,
+    0x8263ac63, 0xbb38a0bd, 0xd95010b6, 0xd8f5add1, 0x80fb4143, 0xbc79c771, 0x606e5cf2, 0x1431e2fb,
+    0x10422d6f, 0x7649673c, 0x592dd532, 0x479df228, 0x00cc3b0e, 0xd9acf9eb, 0x382e3d86, 0x754d0afc,
+    0x564ea176, 0x1bc88d90, 0x27ce30eb, 0xab3f1521, 0x9b66b0a1, 0xf9ab87e2, 0xded89c9e, 0x2b20f06c,
+    0x5e45791b, 0x9ade67bc, 0x41149009, 0x9585eae9, 0x7fcb3234, 0x9c4e1f23, 0x72b60c06, 0x25ad1d4f,
+    0x95670ab6, 0xb7faa3d2, 0xd045c518, 0x39516754, 0xc39370d7, 0x4777e865, 0xdf9901bd, 0xc967fd6a,
+    0x90f563d6, 0xd9414e5b, 0x30758be8, 0x07edd6d0, 0x9fae430c, 0x522654be, 0x56a2a246, 0xa17d5e7c,
+    0x92cf7de1, 0x4939586b, 0x7362617e, 0xa1df73ee, 0x288f2855, 0x4cd539b8, 0x39bcd21d, 0x139d6bcc,
+    0x773d9d38, 0x3ec6730a, 0xd5dfbaf4, 0xb66941ef, 0x9e3dbd8d, 0x57c94493, 0xc1d2680e, 0x69b9cbe2,
+    0x380e99ce, 0x35caa573, 0x78e65071, 0x86bab8e2, 0xc7c3afe5, 0xae91309a, 0x10d577fe, 0x1a01cc59,
+    0x95a98a04, 0x40ed7119, 0xb5d08c6e, 0x33ccf00e, 0x696a4bc3, 0xea396f5d, 0x299f7dad, 0x5aa11121,
+    0x9f569bf1, 0xd755f28c, 0x6f1f305b, 0xc5a4a8bc, 0xfaa1ecd7, 0x117f2fd7, 0xef4262a8, 0xf537be44,
+    0x341954de, 0x4126d599, 0x9992076f, 0xec242ec7, 0xa9c3ac5d, 0xeb55d6bb, 0x233e4138, 0x0d7c68b0,
+    0x867e0721, 0x260182dd, 0x9a1b3a06, 0xf7e2daeb, 0xe8178548, 0xb58aebd6, 0x75837c0a, 0x8db135fe,
+    0x7abab24f, 0x58017a28, 0xbb278477, 0x1da52b81, 0x4d2b5d3a, 0xdbe78aa3, 0xeaf20705, 0xfac8f8bb,
+    0xd931c5f0, 0x1e8f1b07, 0x065617c6, 0x5985e840, 0x7db9f8b6, 0x68a33058, 0xa59a9f59, 0x6f4dd63f,
+    0x56c1b75b, 0x9ec71081, 0xde808e7d, 0x272d01d9, 0x41251537, 0xae8a1271, 0x3ec49bd6, 0x50a3c686,
+    0xab315a13, 0xd2572b0f, 0x82d0e6c7, 0x3ccf8d53, 0x3a56eb20, 0xdde3c6d9, 0x334aa974, 0xf26c6456,
+    0x65af2ea2, 0x90ffc463, 0x26e03aaf, 0xa75228e2, 0xba3ac071, 0x6bcf3da5, 0xcefde059, 0x7aad2235,
+    0xbf2da75b, 0x30b82af9, 0x0ec13572, 0xe68439cc, 0xd14cc066, 0x5820ff3b, 0xf84afdd8, 0x3370ece4,
+    0x05c1e5ce, 0x1d456ecf, 0xe548b25c, 0xd1733fd1, 0xf6b31fee, 0xbcd6a8bb, 0x49878fc6, 0x3f6636b2,
+    0x9b42ac5c, 0x602fecdc, 0xaee277a8, 0xf82f348b, 0x54b2bc21, 0x56b86f9d, 0x5f4ce6b2, 0x7972e20a,
+    0x0e494ac6, 0xb096a2d2, 0x02166b68, 0x8ed5a8cf, 0x648aabf6, 0x88475fda, 0x90b7ca56, 0xa334c901,
+    0x891a0d6f, 0x4967608b, 0x2566fda3, 0xc97c1090, 0xfb32d1e5, 0xe0f4545f, 0x03953a19, 0xb3906e18,
+    0x8e9f7ef2, 0xc228728e, 0xa6d0939f, 0x6a22ced0, 0x5417db4a, 0xf74a8def, 0x4bb7577f, 0x9f518795,
+    0x9b525670, 0xc44c2f26, 0x7d2b6dee, 0x0c00c98a, 0x568f5876, 0x9923b3e2, 0xd84374ce, 0x89aec2a1,
+    0x9ba3e319, 0xd29d6792, 0x72fb5b2d, 0xdfa88854, 0x1b0e655f, 0xb2df2239, 0x9b7b5371, 0x704d9b89,
+    0xfdfe304a, 0x2f26da12, 0x0eafbf10, 0xa82b97d1, 0x03855bbe, 0x8adcee06, 0x572b722e, 0xcdd43551,
+    0x7a70313a, 0xc5febfc0, 0x683cdc74, 0x09d54527, 0x2b038361, 0xa74ede27, 0xe4a95cdf, 0x0622fb77,
+    0x63e2194b, 0x470f6abf, 0xa4a9af7c, 0x96df5cf8, 0x70c03a1c, 0x4799da71, 0xa0c569b3, 0xee1f061d,
+    0x004889b9, 0xeafe9177, 0x3a5d4372, 0x1440630d, 0xb2f41998, 0xbf6851b0, 0x5c72aa3e, 0xef61b6a2,
+    0xe3798007, 0xeeed55b6, 0x9b4fd2c4, 0xdb9ae611, 0xb054e289, 0xed4c753e, 0x129ca1e2, 0x258d523c,
+    0x3c61b928, 0x72a371bf, 0x15bb329d, 0xc2e18c99, 0x09ac6c71, 0xf7c6821a, 0xfacec2da, 0x5a770cb4,
+    0x9e8f276e, 0x419da40f, 0xf5d821c4, 0x0d7e5528, 0x3bd2332b, 0xb0feee2b, 0x4697a7eb, 0xf7e23d90,
+    0x97312200, 0x83c74a89, 0xdefd9f5e, 0x06bf2a0c, 0x33eb9e18, 0xe812fd1a, 0xc4b9b7f8, 0xa0bf0256,
+    0x52605d0c, 0x0f0d5eb7, 0x097446f9, 0x9a53ecec, 0x3cfadc35, 0x0c7784e2, 0xa664142c, 0x78c9ce54,
+    0xe2fbf2ff, 0x2c471d6f, 0x3af256f3, 0xb5ca0f0a, 0x1092b408, 0x922a5bbd, 0x9795aee9, 0x833fa446,
+    0x8c82fdad, 0x9dfd453b, 0xc6eb59ae, 0x8521d413, 0x795a220a, 0x805f4ef7, 0x253c5538, 0xa9c1962f,
+    0x21de502e, 0x69c689cf, 0x2bf102f1, 0x09fb039f, 0x80270b5a, 0xbd6c15d0, 0x3fb73ee2, 0x4159febc,
+    0x469e7b39, 0x82dfc90d, 0x071359a1, 0x7e6f4efb, 0x6c1d765b, 0xb1725c62, 0x11e5663e, 0xc669b921,
+    0xfeef2894, 0x6d12c369, 0x1ab0bde8, 0x9cd2f6b8, 0x1327c2c1, 0x953221af, 0xe1c8eb4a, 0xb14f594b,
+    0x052faa96, 0x8abbf844, 0xb512226a, 0x9f598b55, 0x91a40979, 0xa5089bca, 0xd75bb8d8, 0x25ab1333,
+    0xd94e2010, 0x6d92ee0a, 0xf691343f, 0xc243b4fc, 0x31c31a34, 0x24ea6c1e, 0x5f202814, 0x1946c22d,
+    0x9fb1bafd, 0xf05f9550, 0x3c94c349, 0x86c2db44, 0x5c71314e, 0x4c162b1e, 0x07bdf9fb, 0xdf16fa76,
+    0x324a6184, 0x713ef01c, 0xee24bfaf, 0xd6e9bd94, 0x70109e00, 0xe5ea9311, 0x843f636f, 0xa2894576,
+    0x084821ed, 0x54e7065e, 0x0895b076, 0x86f575b4, 0x8b145353, 0x5a9b6b0b, 0xb9b31aa3, 0xd3efdacd,
+    0xd38a7b8c, 0xd842d848, 0xc72ce9bb, 0xaa899b99, 0x1c0fc64b, 0x0ed060b7, 0xf822a5f8, 0x25be632b,
+    0xcfbd6edf, 0xe9f4b12f, 0x233640d3, 0x0df8e3dd, 0xac5dac59, 0x613ee1fb, 0xd1698d7a, 0x107cc71f,
+    0xd82563cd, 0xfbac0015, 0xde172ecb, 0x9c35951a, 0x9d390cc3, 0x967cc412, 0x536dc569, 0x2c14a879,
+    0xff362bc0, 0xc4a99e2c, 0x9f8a9539, 0xb68cd5e8, 0x37e7bd31, 0x7758c073, 0x35d4ab6a, 0xf96dcf99,
+    0xfb26312b, 0xf6e0b5e9, 0xf4ccd653, 0x93ba0458, 0x10578a60, 0xd503d990, 0x934bb5d2, 0x51433e75,
+    0x7fa0a5d6, 0x9bdd16d2, 0x3bf45fb6, 0xda989708, 0x5f6ab397, 0xbf1aff32, 0x1e2d8402, 0x3f33ac8f,
+    0xf9bd4044, 0x645dad93, 0xc7475d29, 0xb3a6b142, 0x86b28483, 0x039d1911, 0xf25e5ef0, 0x5b637967,
+    0xb7c537f6, 0x3caf8cfc, 0xe02d308a, 0x173e0238, 0x94121914, 0xd5a3318a, 0x6c2d1484, 0x115e344f,
+    0xa105733d, 0x3ba66fe0, 0x45ae270b, 0x7cbe2c89, 0x8a9599a8, 0x66d0b7aa, 0x4e9089a2, 0x342d0e57,
+    0x98467cc5, 0x9962d911, 0x506fc09c, 0x01c06633, 0xaf969311, 0x0587adac, 0x9d414623, 0x0d9e3e7a,
+    0x71475621, 0x8aa0af9b, 0x306e60b9, 0x019596a4, 0x30379023, 0xede40cdc, 0xfdebff53, 0x34d1d9f1,
+    0x09f5a237, 0x42ecfac8, 0x614f6e79, 0x146f14af, 0xb75e2ac3, 0x8b381a77, 0x01a7fbb3, 0xc889b327,
+    0xa9ea092c, 0x00392f0a, 0xf31187ac, 0x1b913de4, 0x3d6aa7c3, 0xe0ef7c8b, 0x1c36300e, 0x66286333,
+    0x749a0eca, 0x47d90139, 0x40fb4b52, 0xc4f2c996, 0xd9e657f4, 0xd5f31966, 0x89e91e30, 0x9336ed40,
+    0x0d0fb0ad, 0x72a09818, 0x94fa3c25, 0x71a0a08e, 0x52927523, 0x9fc3ede4, 0x701f076e, 0x9b090fde,
+    0x09e31fac, 0x839a1381, 0xb1de6750, 0xb5aae08c, 0x25c12ad7, 0xc3f69644, 0xdc8c9ba4, 0x0b7caa09,
+    0x261b5767, 0x8bf85e76, 0x63944de3, 0x007239db, 0x90bcdd08, 0xd1d2b409, 0xbeaf61d7, 0x60c191fe,
+    0x9bf0fffd, 0xa7b165da, 0x005d11ad, 0x6f81862d, 0xc997357c, 0xc07cb824, 0x0a6710a2, 0x287da8f3,
+    0x8a070d2a, 0x24e55b89, 0x03412d37, 0x2e7595f9, 0x476532c7, 0x735ab16c, 0x33b22401, 0x46498717,
+    0x6244b122, 0xa696e308, 0x8d37c5e2, 0x43579afa, 0x4e6e3239, 0x65dea5f5, 0x66b06c46, 0x889db8d8,
+    0x3bdc8425, 0xda58c328, 0xb8f4ef05, 0xa5630828, 0x9e662019, 0x82c828d0, 0xccf2a4c0, 0x83d43385,
+    0xcb064271, 0x1417fdcf, 0x31947667, 0xccda5b83, 0x1525afb3, 0xa9ef6f6a, 0x2df05cdb, 0x0b2e61ae,
+    0xd7b5c075, 0x6c03c7eb, 0x25f1608d, 0x2860767c, 0x76d08e96, 0xed3b43c5, 0x30d8c081, 0xb8c8a07e,
+    0xc1984c1a, 0x7a5baf79, 0xf7b0f866, 0x0cfd6f1a, 0x9741ba3d, 0xd94680f6, 0x705609a7, 0x32bc5a80,
+    0x4085cee3, 0x861db036, 0xbfabbbe3, 0x3a84a869, 0x6132a54d, 0x31e8636e, 0x70e66d45, 0xa301862d,
+    0xe38cd2c2, 0x1cc17d55, 0x89c8bb41, 0x156ff3a4, 0x0743a78b, 0xe0cc70d5, 0x54039b23, 0x9de17e9b,
+    0xc9fa423b, 0xd8692c26, 0x3091d7f3, 0xa785125d, 0x532e63f5, 0xd1315a8b, 0x47bdc192, 0x5ceac7ca,
+    0x3998f5db, 0x11e65dc5, 0x7666a64a, 0xcec5d663, 0xec0a9f63, 0xa543eefe, 0x0b907ac8, 0xd156343b,
+    0x098c445e, 0x8fe9b54f, 0xce92b741, 0x74936ad8, 0xc9dda003, 0x8aba0cb3, 0xfd3d84c8, 0xc3534762,
+    0x7ab5988e, 0xec7ad542, 0xe96ec393, 0xb0591e1b, 0x886891bc, 0x1d9c2b03, 0x487f5aca, 0x59715902,
+    0x9647b639, 0xe6f34472, 0xa5031f31, 0xe586fd11, 0xd8e7d8f3, 0x5056f5df, 0x32cc02f4, 0x2e005b46,
+    0x0e8d149f, 0x9975b0ee, 0xdfdd0bb1, 0xf8d20bad, 0x6fafa74f, 0x96ae47be, 0x9d9cceb1, 0x15ad583a,
+    0xc843ef3e, 0xc46fdb8f, 0x1b0bcc49, 0xaee7ee25, 0xa421f329, 0x81024154, 0xab2d37b7, 0x11c15356,
+    0x8486bb64, 0x6efd2213, 0xdd685e28, 0x2982e5a1, 0x8dfcacbf, 0x738b9149, 0x7759e415, 0x94d01abd,
+    0xc4b3fb3f, 0x8552cba8, 0xd09a9162, 0x223226af, 0x6ce03ae9, 0x1f1bebcf, 0xf603debd, 0x96e134b9,
+    0x200c9e4a, 0xae48096c, 0x9e8ebbc4, 0x2d67e158, 0x2016147f, 0x1bc4d038, 0x2d40702e, 0xdd9ababa,
+    0x31294359, 0x74e162f2, 0xce841ddf, 0xc67f3660, 0xb7e3bb09, 0x95845731, 0x6ad01202, 0x842ad0b2,
+    0x7136c744, 0xd336890c, 0x1760dbc8, 0x3d18e036, 0x400d64fd, 0x94330b79, 0x95e561ed, 0x4c462faa,
+    0xa8bad1ce, 0xa3399d32, 0x6a7adf6d, 0x31cce6b0, 0xa24ed3b0, 0x2af56e84, 0x207f7664, 0xcbe7a696,
+    0x5a9a81db, 0xbe5e48cd, 0x2fc16c05, 0x04ff1c6a, 0x9d406b99, 0x157441fb, 0x58d5c5e0, 0xdb6c6f98,
+    0xda9618e7, 0x3b8645d7, 0x6fe60763, 0xd2fdab60, 0xc88f141d, 0x2953bf49, 0x11d2a129, 0x7f674d3c,
+    0x522bafed, 0x222ef01f, 0xde9a20cc, 0xe484c662, 0x2236ed24, 0x4d658d3d, 0x7bba752d, 0x178a2f11,
+    0x69614cfb, 0x0272bcc3, 0x2ea6e090, 0x46814e7c, 0x741f5f7b, 0xf92b4dd4, 0x153415f2, 0x7f6cfa30,
+    0xa2ba69d2, 0xc314c4ea, 0xfd22d7ef, 0xcbff1933, 0x0994330e, 0xa3f08ec8, 0xf625b1eb, 0x9e5e7895,
+    0xa97a0396, 0xea718f48, 0x2e3a389c, 0x7b68d853, 0x1a480415, 0xdf06514d, 0x75361e74, 0xe1d345a3,
+    0x12d33eb9, 0x819effd5, 0xd9879d48, 0x7c7e90c6, 0xc5bfc31b, 0x6eb7d2fd, 0x92f5def3, 0xbf2be255,
+    0x2b57f77a, 0x998214a7, 0x4d954ff2, 0x48d4a086, 0x8e0f9331, 0xde2a0738, 0x4ae8c00a, 0xf72b6004,
+    0x045d185e, 0x49047eb0, 0x692d54f7, 0xaff700e6, 0xf44825b8, 0x46738897, 0x0611982d, 0x764113aa,
+    0x717027e1, 0x76ffd316, 0xdc42d7be, 0x24ccc0fa, 0xdb91aa6b, 0x73d829e9, 0x3c46c3c8, 0xf7306815,
+    0xe5d6266a, 0x0499d6fe, 0x56315c96, 0x66da2b1f, 0xe57cfad8, 0xc9c40d85, 0x3ff7880f, 0xd4d4eb8d,
+    0x27e452ff, 0x4ccb0352, 0x0eea35f5, 0xde47d82d, 0xb4f0090e, 0xa81d9f23, 0x15a31fcd, 0x323e5a71,
+    0x0eccf25a, 0x300aa895, 0xaea9f974, 0x607a1dc0, 0x0fa2d22e, 0xe0912594, 0xea810713, 0xcf1c7c3c,
+    0x9b755e95, 0x97454b02, 0xc905ee23, 0x65c9111d, 0x746c8003, 0x27dc1636, 0x7cf913cf, 0x3c0432b6,
+    0xbd88a317, 0x084c0b0b, 0x413c7b61, 0x8cc676db, 0xb0bd5ed8, 0xa01c7e7e, 0xec808d69, 0xb393714a,
+    0xa8aa3b85, 0x7e56b9d1, 0x04379fc8, 0x8660a670, 0x6903040e, 0x428d5697, 0xb540876b, 0x60370f99,
+    0x6ea677e5, 0xe2735778, 0x9d945d31, 0x89c06726, 0x7fb8296e, 0xcffead19, 0x1220da48, 0x236e13e3,
+    0x7f9417f5, 0x4b06b996, 0xbe4986de, 0x50ed48d2, 0x9527061f, 0x4ae4d69d, 0xaab9d77c, 0x29a0ed20,
+    0xdaffc409, 0x14e70287, 0x58416fd5, 0x1b4f24cd, 0x6932863b, 0x7639f401, 0xbd0fc4b7, 0xc6d2dd3a,
+    0x44517887, 0x65bdff2f, 0x2bbbdf41, 0x68196b21, 0x4704b7af, 0xc2fd41f1, 0xb0baf4b4, 0x64b464be,
+    0xce46c4dd, 0x3cdf0630, 0xfa031027, 0x555dac46, 0x0c75b34e, 0xd162c5ca, 0x48cc9ab9, 0xb5493fef,
+    0xcddbdf2c, 0x4fd375d4, 0xe926aef1, 0xbdd26468, 0xee4155eb, 0xde8aacc4, 0xacc66e45, 0xb833e048,
+    0x7c632f67, 0xace244c1, 0x99ebd50f, 0x93349381, 0x7cd89f09, 0x5ceeae61, 0x17358eda, 0x752d0a05,
+    0x273bdeb6, 0xbde87e6d, 0x7e711f50, 0x01571724, 0x70abb8ce, 0x69cef59b, 0xa774e80f, 0x88f146bb,
+    0x1df80a55, 0x0ba1a2e1, 0xeea893a7, 0x7d3b3a69, 0xd1ddc582, 0x23baa0b4, 0x680bafb6, 0x1341ccf4,
+    0x0eae4d56, 0xcca1f8b1, 0x41c4de08, 0xb8a0aeec, 0xe4a1ad0e, 0x9cf4e21a, 0xbf15974f, 0xabf40147,
+    0x961d37b1, 0x2e0038c0, 0xe0fb08fe, 0xbee54803, 0x5ccc48af, 0x2346fabc, 0x07c60041, 0xf714c6e4,
+    0x25ba248f, 0x0db83fe0, 0x5c2fc4a5, 0x65902720, 0xa7c35ba8, 0x6b95dc8f, 0x9487200e, 0x75e836ad,
+    0x64b63bde, 0x07a30a07, 0x0960f7d9, 0xc1f38b60, 0x489d25e5, 0x6791aaba, 0xb98f9687, 0x8408c706,
+    0x8960b093, 0xb362f576, 0x8aa87b39, 0xee79928a, 0xefed52f4, 0xa6bd7231, 0x89c90518, 0x35319022,
+    0x69153aa3, 0xc2229877, 0xdb472440, 0xc4575918, 0x759d3234, 0x31de3da5, 0x5ba7fa0b, 0xd185d1d6,
+    0x52cac017, 0x1f448e33, 0x5411416c, 0x486e2117, 0x982313d7, 0x3194bf84, 0x8a355542, 0x20ae3848,
+    0xc316b9c6, 0x7ee61de4, 0xb7652f3c, 0xc25dd840, 0x844ba419, 0x540e0943, 0x9ef55a49, 0x0093927e,
+    0x6aac3c43, 0x1e009830, 0x7d8abd0c, 0xcb990ff1, 0xd23df2d6, 0x8e5ca2a5, 0x2013d77b, 0xc4768811,
+    0xf9dad21e, 0x6a7c73c0, 0x2939bb3e, 0x19025b2e, 0xd6f23411, 0xa69e1d98, 0x2cc73db7, 0x08b7afc2,
+    0xe65d0ebc, 0x5b488cc4, 0x2773f55c, 0x793cbd6d, 0x3ad492c2, 0xb776f058, 0xf99028a1, 0xedc5ec6d,
+    0xedc78ff9, 0xfcc748d7, 0x73338dce, 0x2232dba3, 0xc811100f, 0xdb0ab9ae, 0x0267d1c4, 0x5e7911ae,
+    0x08175090, 0xb072d198, 0xd29e32eb, 0x015f7049, 0x300e8199, 0x1345cb54, 0x3bca7468, 0xcf69438a,
+    0x70a571fd, 0x91604dc8, 0x49affdb4, 0x5ac595af, 0xb11f24e4, 0xed8c86ff, 0x346bd8c4, 0x76e654c6,
+    0x55ed73fc, 0x98ca5ab4, 0x715c8835, 0x7838fb01, 0x282dd64b, 0x826f7ae5, 0xa8e2ebe7, 0x2be52559,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000023485425827738332278894805967893\
+                          37027375682548908319870707290971532209025114608443463698998384768703031934976 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164,
+    0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fefa, 0x30f4c5f3, 0x35e042c4, 0x55c18b83, 0xb682a937,
+    0x00000000,
+    0xc895fca1, 0xbd6197b6, 0xe95c53d2, 0x64cda81e, 0xc15220a4, 0xf9d86aa6, 0x878cea17, 0x0d532feb,
+    0xc3cc2e33, 0x208cc502, 0x521c292e, 0xe675599c, 0x4b7745b2, 0x40584a84, 0x09f33e58, 0x7fa0b09f,
+    0x210bb066, 0x2128c2dc, 0xf2e99951, 0x072e7e18, 0xb5e66d90, 0xd5532e00, 0x49a3a538, 0xf7b169f3,
+    0x2763d17b, 0x05d942e7, 0x98e06fe6, 0x4c3a0cad, 0x30543610, 0x241bba89, 0xcab25c73, 0x65500161,
+    0x8ba6d668, 0xd3ef7d91, 0x9737bb0e, 0x1067f782, 0xfb60a085, 0x6c123045, 0xc22ec23d, 0xc63e0463,
+    0x632f066d, 0xaa1c2e72, 0x39e1528f, 0x30ea7793, 0x7454a950, 0x3520b824, 0x19bf3ef4, 0x26f90537,
+    0x543001ed, 0x2e66ebfa, 0xbb4ed947, 0x1a6d5564, 0x3a39de55, 0x1890c33f, 0x274c2c86, 0xb7fc0555,
+    0xaa3bb4e8, 0xcce51f29, 0x46a53ef6, 0x639ab745, 0x06dbcce5, 0x260f5c9f, 0xfb28d923, 0x0ceda7c9,
+    0xc7ad1b07, 0xf26e5e4f, 0x2ddf7762, 0xe58119c2, 0x48575c4e, 0xf66a55bd, 0xf46cb607, 0xbbb1b2bc,
+    0xb0c104ce, 0x828567d4, 0xd765eefd, 0xf241e3ea, 0x6db696c9, 0xe934e48f, 0x2304b9d5, 0x0eacba79,
+    0x12d5be81, 0x1f692cca, 0xb3cc60a9, 0xc9434239, 0xed8b3ed8, 0xb22e4dec, 0x30475242, 0x5640f407,
+    0x8c6893cf, 0xb486956a, 0x78b84a5c, 0x252a669d, 0x35077893, 0xaed3a5d4, 0x306db0a9, 0x5266435f,
+    0xa28ad7b4, 0xca1188b6, 0x0d4a1668, 0x14804847, 0xa0a99e11, 0x8413c77c, 0xb4132f42, 0xaa41ebe5,
+    0x13f1e00c, 0x571e3567, 0x5e21c497, 0x01545ea7, 0xbb50362b, 0x41fd078b, 0x50840a79, 0xd4c1ad12,
+    0x2e222fe2, 0x9acfa812, 0xdbc4080b, 0x9531f61c, 0xe3bd17ba, 0xe54b518c, 0x3c66cccc, 0xc976cbc1,
+    0x417dcb6a, 0x610b2c7d, 0x48b9bfa9, 0x257ee4a3, 0x0c10e6dd, 0xfab668e3, 0x4495de4d, 0x3ac96014,
+    0x793bd7dd, 0xd6e48507, 0xe3714011, 0x135e39b9, 0x40a1af9f, 0x1fe342ff, 0xe7d15daa, 0x2f43c721,
+    0x66759f77, 0x7ec7f80c, 0x5032e8e0, 0xe9b4a13d, 0xf8be87dc, 0x498fad5b, 0x2ebbb1a2, 0xbe9638e9,
+    0x6e40c18a, 0x75860af3, 0x21fa57ad, 0x4d09bb07, 0x24c0e475, 0x9ffa3c82, 0xbd5bcae0, 0x554fcdc8,
+    0x42d1e62b, 0xf1595767, 0x70de72a6, 0x06b3fb41, 0x5331c6f6, 0x3ac2d6b7, 0x28d7d691, 0x20942548,
+    0x2a451110, 0x70ce9b07, 0x679bbbab, 0xc4b33e05, 0x83e6f969, 0xa295df2d, 0xa3baa3a5, 0x2ea7b9ac,
+    0x6581a765, 0x77e45902, 0xe981fa20, 0x71fad118, 0x4db03a1d, 0x5d6d8945, 0xf2b69d01, 0x26b533c4,
+    0x39025bb8, 0x3cf0df8e, 0x70417be6, 0xe4d8bedd, 0x0d765420, 0x12be8377, 0xde7d98bc, 0xae44564b,
+    0xd41bcd77, 0x28cfb097, 0xd75352fc, 0xcbe42304, 0x0e119f6f, 0x72afd3b3, 0xbf09e980, 0xd7332c25,
+    0xa715c2cd, 0xdcb4a8a2, 0x6b97c505, 0xe4884c7c, 0xe4d0b5e7, 0x01c1ed82, 0xa05ad643, 0x1e34ccee,
+    0x7ddf69d8, 0x4e5515c5, 0x6bba0ea4, 0xceae5e98, 0x59a32105, 0x2330ef3a, 0x03e6ff8c, 0xfb4a5375,
+    0xc82be8bc, 0x18b185de, 0xc05ddf55, 0x0eda754f, 0x788018a1, 0xe3ce5b02, 0x4c3e70ee, 0xd0df868d,
+    0xc6c4386b, 0x3af46624, 0x50c5ead5, 0x16286f11, 0xab5c722b, 0x2b1cef81, 0xbe64592f, 0x662ab0e1,
+    0x43f786fd, 0xe93e99aa, 0x8acf4fd2, 0xb1a61a2c, 0x588ec6b0, 0x8bf835ae, 0xcb35755d, 0x5360a7c9,
+    0x3eb2fcd1, 0x11f3921f, 0x5b183fae, 0x6842d0c7, 0x4b4293b6, 0x6bd28505, 0xc4c6a37f, 0xe1c3263d,
+    0xc91e630e, 0x386690a9, 0xb8543147, 0x3a24da0e, 0x05c42c1b, 0x8a396d70, 0x59321a1a, 0x0b473921,
+    0x2e42b583, 0x30deeb1b, 0xb1e12d42, 0x1d5a9f61, 0x4c4597c8, 0x96412c8d, 0x36fc3f47, 0x176407ff,
+    0x39713245, 0x5f672c37, 0x2d68e54a, 0x1ecd79e0, 0x0b4d6210, 0xe219effe, 0x158d93bc, 0xb03f268b,
+    0x6830c8bd, 0xe7c01999, 0xfe62052c, 0x5c4ac4c8, 0x334d9c06, 0x53215af8, 0xedb7e5d7, 0xe57adb42,
+    0xcef41e82, 0x768e559e, 0x5747af06, 0x23d1f7ae, 0xf17fb7c3, 0x7c02d726, 0xa7b6ac11, 0xde803224,
+    0x932b8822, 0x3e969690, 0x5e7dce35, 0x854e3b49, 0x4ad69623, 0x4c7250e6, 0xa86150f3, 0xccf3a2c2,
+    0xb084177b, 0x73f51b22, 0xfce8ebe0, 0xdde76e42, 0x9694ef65, 0x4a0df899, 0xb88c57b5, 0x05c2cbeb,
+    0xbd3882a3, 0x0d655135, 0xa98668e7, 0x6de40151, 0xd0c40dc8, 0xf6015129, 0xc41a66cb, 0xacab5c6d,
+    0xab972582, 0x15d7d917, 0xa25c77cd, 0xb4767515, 0x009b5050, 0x5d815645, 0x5ae68ff2, 0xadbcf264,
+    0x6252a4c3, 0xdfadd40c, 0xd99da113, 0xcec0cb7a, 0x121f8f6c, 0x7d92d7bf, 0x828953a4, 0x263590c4,
+    0x496380fe, 0xe8d54eba, 0x804757f1, 0x0567aa99, 0x67defded, 0x492f2768, 0xd5e3648c, 0x0839f094,
+    0x487de6d2, 0x9bcf53b2, 0x45744773, 0xe7b1dc92, 0xbba1491e, 0x55f824c3, 0x622355a0, 0x960e22ad,
+    0xa911e5d0, 0xc86219f4, 0xb14aaf31, 0x9194adc3, 0x68e3b80c, 0x407955cd, 0xbc0665a5, 0x1fd7a1e9,
+    0xe38f5bc8, 0xd2a63149, 0x2640c6f0, 0xc99dd450, 0xc4ef478d, 0x73fb6dc7, 0x33895aa9, 0x57942a57,
+    0x80c768b5, 0xa634501e, 0x90b6b5b5, 0x092081bb, 0xfb7c68c1, 0x93ca3dca, 0xbd25733c, 0xac54b023,
+    0x68e21bf0, 0xdc117e47, 0x52383e43, 0x216372fa, 0x721c2a3b, 0xf1ea4f02, 0xf902bc71, 0xfa02b039,
+    0xa843047f, 0x0f232b04, 0x7b0f192f, 0xdfa20a3c, 0xd4b7b6c5, 0xa4585f1d, 0x14356efe, 0xa137af36,
+    0x4580b705, 0xcb6f0fab, 0x4d088427, 0x713a75e4, 0x12193599, 0x3a6a2930, 0x7594b9e8, 0xc370404c,
+    0x7773ece3, 0x125ef6a2, 0xf1da3879, 0x795e1a05, 0x221a1410, 0x73dc5a2a, 0x7b386d74, 0xadbf6688,
+    0x402946eb, 0x91942722, 0x274ad81f, 0x5897366d, 0xf26d3d00, 0xa211cc78, 0x5e5fbe3e, 0x44d0de5d,
+    0x21586daf, 0xf3c5b977, 0xc78ecdcf, 0xb0b14c76, 0x21ccfb6e, 0xef7f3ab6, 0x0ea23b13, 0x315cdb04,
+    0xcece6549, 0x1b7420e2, 0xbada9534, 0xf24d1cba, 0x1c5d9fe0, 0xfcc3bcf3, 0xd9e229a5, 0x9c79680c,
+    0xd99ba700, 0x3cbdd833, 0x3cde1653, 0x299b4e8e, 0xe7e9ce55, 0x73e2965b, 0x5ff845ef, 0xa31ceb08,
+    0x8508462a, 0x8ef89871, 0x700290d2, 0x331f1d46, 0x2add9638, 0x2a523cbe, 0x6e8c69ba, 0xe059a32c,
+    0x6f8ceb9a, 0x039c90dc, 0xa1c2541d, 0xa072d91c, 0x83c0a5f7, 0xfbf3b513, 0x4893afba, 0x623c684e,
+    0xb1658fc6, 0xca52d4e0, 0x114ff26a, 0x1d849e30, 0xe397f2e3, 0xb1534a95, 0x054aa758, 0x54f9ff02,
+    0xfe2d83d5, 0x0516a0b4, 0xcef4edb0, 0xd6cb2447, 0xff5fd5b3, 0xdb1bd7dd, 0x6f7486ae, 0x9f65fb63,
+    0x4c35903c, 0x942ab604, 0xdd94d951, 0xe054ee9c, 0xdaad5963, 0x4ff013c6, 0x0091932d, 0x34d0a90f,
+    0x542e887b, 0x967b5f8c, 0x36e92de0, 0xd06e671f, 0x1fd2ec7b, 0x01e37e04, 0x69b6b238, 0x3b7c5dac,
+    0xb5805e5d, 0xe192d8c6, 0x5898f9ab, 0x1f4f85e0, 0xaa226c9d, 0x92a7abd9, 0x906e641a, 0x68fcbdb1,
+    0x3bc09d30, 0x9482ee46, 0x27050636, 0x0871412a, 0xd5f5a3a2, 0xf8870f59, 0x25ba25b6, 0x28a94b3f,
+    0x098a9a0d, 0x5e3fe257, 0xd6469582, 0x1bd0898f, 0xe5ba8236, 0xccc2b489, 0xfe6e1cc2, 0x8ba6c7b5,
+    0x64d73979, 0x2a53bc23, 0x8c091a48, 0xa07287c1, 0xebc93ace, 0x3231196b, 0x633ef374, 0x38718874,
+    0xa09b6b9b, 0x3667842e, 0x7a365a12, 0x2ec3e715, 0x348a4e52, 0xf6e0911b, 0xead8e077, 0xe4cb0b69,
+    0xa0283523, 0x783e42fe, 0x46e441e5, 0x37ece96b, 0x09e60cfc, 0xc6ab9dee, 0x9eb7e6fb, 0x76d494d0,
+    0x5501790b, 0x6a965201, 0xd1e79590, 0x77138278, 0xcf520f6e, 0x87c85a98, 0x1f0f0e66, 0x458e2bfd,
+    0xe88be7a9, 0x6461ab40, 0x3326a4cc, 0x29f52857, 0x5391756e, 0xf5861e50, 0x09a4e42e, 0x2671cb09,
+    0x3f4e0294, 0xbc1726b6, 0x711bd2f0, 0x2132fde7, 0x2cee4bdb, 0x90375882, 0x1a292a34, 0xc118f254,
+    0x313a39d2, 0xa5ec3599, 0x63201962, 0xf9d425bf, 0x34d3f84f, 0xddba6c3c, 0xf09c86c1, 0x6223a6a7,
+    0xe13b1952, 0xd604f8c2, 0x9c1b1857, 0xb1c6d9f2, 0x273e1ddc, 0x80919e2b, 0xba4648f4, 0x8aa86148,
+    0x5d781a13, 0x2aa3755d, 0xece1b656, 0x4e09c8f2, 0x418fee10, 0x1a30e3f1, 0xd40f4060, 0xfb1a98ca,
+    0x73ba7a52, 0xdd27e8a3, 0xb91b9b22, 0xcf83241e, 0x0d7059bb, 0xc7c08545, 0x9b1fc3b2, 0xcf92e32e,
+    0xfbf21f96, 0xd1c6e002, 0xf04e02c0, 0x5310d6dd, 0xfd5c3288, 0x7aa5feb0, 0xa952356d, 0x89012959,
+    0xd5343556, 0xc6abd661, 0x815c6f04, 0x4f4913e3, 0xf5bb0a62, 0x56fe88e7, 0x42c7190c, 0xce54f626,
+    0xa7874143, 0xff97bd1b, 0xdc829445, 0x18069384, 0x6720e235, 0xa4ab40fb, 0xd3bd0401, 0x9eeb800b,
+    0xfd439bd3, 0x5cd49d33, 0xbeec34f7, 0x670501e4, 0xb3fddf7e, 0x467d0332, 0x58faf353, 0x63737e8e,
+    0x49734bd6, 0xbb0a231f, 0x70ba6875, 0xf9d1263a, 0x9ae061e1, 0xd1da11e6, 0x899f282e, 0x65b6fdc1,
+    0x5bb977cf, 0xc6b9275e, 0xe6a4d083, 0x4c1cc1f7, 0x1674f0a6, 0xff019160, 0x3c6c6bb5, 0xba345964,
+    0x6b4a8f0f, 0xd200a53c, 0x3376eac4, 0x156b8084, 0x915fe1b9, 0x8fb4d21c, 0x3ed19619, 0x47f8ebe4,
+    0xa0d7b964, 0xe5ee2a30, 0x767de150, 0x4c690a31, 0xfd2e6d3e, 0x2e25f41e, 0x35e35751, 0x6cbe5332,
+    0x84b54c9b, 0x91e74bcd, 0xf896d15e, 0x11b3b6e6, 0x026cb9cd, 0x4edf103a, 0x79b3f8d7, 0xdd654b30,
+    0x23d52609, 0xca6dac3a, 0x24054a95, 0x7aa07cd1, 0x9f25f21f, 0xf9dd6c83, 0xef8f4ad1, 0x8f4e671c,
+    0x09dc76fb, 0xe6fea12e, 0x8ede620f, 0x96669afb, 0x50b26200, 0xa8105f92, 0xe60e6047, 0xee3d2cd7,
+    0xba2442ec, 0x08ca9e2c, 0xbbace3dd, 0x5a1efa6d, 0x3bcd2420, 0xb2d8bdea, 0x9820d993, 0x302a674e,
+    0x8d8b1907, 0xf0fda65c, 0x3f9566ef, 0xc8c8eea8, 0x30e9501e, 0x22be0abf, 0x760dc369, 0x92266254,
+    0x1a06f92a, 0xc39d3113, 0x17ca9eee, 0x79ebc1da, 0x7a06d8c3, 0xf163fc49, 0x4dab80cc, 0x5ba57393,
+    0x92d6774d, 0x1a68f0d6, 0x7330f25f, 0xb0680e69, 0xca17ca53, 0xfedcc940, 0x5b57eb4c, 0xd2058738,
+    0x22f882a6, 0x00fc9fe2, 0xef02469f, 0xc77ccf3a, 0x8606b0d6, 0x2cb03607, 0xe347c982, 0xe75a39ff,
+    0x07752985, 0x399e308e, 0xc45b132e, 0xb512ae9c, 0x13cd2b51, 0x02e4db3f, 0x4418de16, 0xcdaba404,
+    0x733b1298, 0x53a18262, 0x90163477, 0xe6c991d3, 0xd54aa039, 0x7e9dec60, 0x43111cc7, 0x83c6ae5b,
+    0x50e0d934, 0xefec04a3, 0x78c7ef2d, 0xc645a189, 0x07fd277d, 0x36412e99, 0xae29968d, 0xf7f716f2,
+    0x0aa7d639, 0x3a0deb2c, 0xb30bd63f, 0xf27939b7, 0x9b6207e4, 0x45271dd1, 0x1fbb335c, 0xccd9e3c5,
+    0xb8d7074f, 0xeb106064, 0xc5080b98, 0x9a7960a1, 0x931f90b6, 0xcde52879, 0x9dff663f, 0x2599927d,
+    0xaf95ec5a, 0x15c63751, 0x5363b4c4, 0xdcfd2ed6, 0x407d66d4, 0xdec6786c, 0x7e8312be, 0xf5f9b74c,
+    0x4a8bbe8d, 0x22e9eb7b, 0xa723fbf9, 0x050828cf, 0x4b278b96, 0x2f78732f, 0xf7b83185, 0xcd738173,
+    0x3082028f, 0xa8eff956, 0xa15bafb2, 0x7bd2858d, 0xd95d6495, 0x8b9aa20c, 0x15b4909d, 0x6943d994,
+    0x27339cd7, 0x48166713, 0xf60f948e, 0x1cf9cad2, 0xc1adebce, 0x37b263e4, 0xa98a3050, 0xd67e1bbf,
+    0x16f6a623, 0x89cedc01, 0x8e635a24, 0x150717f4, 0x83a4f2d4, 0x5fd6f992, 0xceee90c7, 0xf5c62409,
+    0x4dbf93a3, 0x8fe3e960, 0x227e52c8, 0x927b0002, 0x3e109402, 0xcb1f6e51, 0xeb5214fc, 0xe42654f2,
+    0x16362bdb, 0x848e29b5, 0x9a32bd93, 0x31e2821f, 0x059b9e7f, 0x3c264fc8, 0x5163181b, 0xa0a33059,
+    0xdc9c49dc, 0xb0df068b, 0xcaabdd39, 0xd6c1ffb7, 0x7190afae, 0x7b463c5b, 0xd3067ee0, 0xc70e5502,
+    0x22fddb13, 0x00c43be7, 0x66cd611e, 0x0a72f519, 0x3d5d1d7c, 0x8bb3aab4, 0xec94ec59, 0x17b0f7c8,
+    0x2f36b199, 0x7aa16a7e, 0x5cf10bbc, 0x7884f83a, 0x83efc45b, 0xa5ad57ee, 0xf1476f51, 0xaacb9ab7,
+    0xff2ead2f, 0xe5a3cd6b, 0x4ac451dc, 0x61942982, 0xa8680c46, 0x7f65a72f, 0x729ded5e, 0xec0d7d12,
+    0xe1c16b5f, 0x5ff10a80, 0x491c7f46, 0x46af8e08, 0x2d772321, 0x4e1801fa, 0x864401ee, 0xc467bc4a,
+    0x0bdee139, 0xe54f246b, 0xf4605eef, 0xf7c29fe3, 0x07b3fdb0, 0xf6fd00a0, 0x2a1f5d8e, 0xb91e0cc2,
+    0xc49dae83, 0xaf5c131e, 0x9f1bff2b, 0x65dc195c, 0x7aadd92b, 0x726958ff, 0x7d27a302, 0x9b9c20be,
+    0xffd683d7, 0x1ae9c9eb, 0xc3d31041, 0xf4091464, 0x68404bda, 0xf01782cc, 0xc4e60a34, 0x0fd8bea1,
+    0xd8ae32c2, 0x424cbe6c, 0xba731025, 0x96e58cb7, 0xea8721cb, 0xc32e83e0, 0xfc2acf29, 0x32deebe0,
+    0x6f1c281c, 0xf2c28cfb, 0x808ed7a6, 0x81f1e738, 0x4e5a065e, 0xf7ee34d1, 0x8bf8453f, 0xad0271fa,
+    0x2e3fc21d, 0xaf6a3455, 0x09b78008, 0x2b001dbf, 0xa5a06d7d, 0x043ba82a, 0xa707ac15, 0xd65312b1,
+    0x3d7f7d05, 0x23ebe2e0, 0xabb1b799, 0xdce77e41, 0xfbf0aaa4, 0x164e74d5, 0x2f18c2f4, 0xa6545e29,
+    0x8101550f, 0x7a3d8bfb, 0x8c0fb9c5, 0x782f0019, 0x1f868fcb, 0x6d3a2e8f, 0x90403fc9, 0xb5e0ab3a,
+    0x84946fe2, 0x41b634ce, 0x5c207ad7, 0xca01a125, 0x75187fc9, 0x67e34e61, 0xaab738ba, 0x757c3e8e,
+    0x2e59f259, 0x94bbdad0, 0xdcbc338d, 0xbffd68ad, 0xbfaea906, 0x353d1e86, 0xfab74628, 0x0ee25580,
+    0x50335e7d, 0x7d80dc7d, 0xf4888376, 0xb6f40ad3, 0xee86e9ae, 0xed09f945, 0xe546d95d, 0xc8224822,
+    0x65dae465, 0x84ecd340, 0x05541e83, 0x26354565, 0x2a33e212, 0x9e57b3d9, 0xb37264d7, 0x8801cdb3,
+    0xc5f6b40a, 0xed1a195b, 0xff0a2a89, 0xacc5b3ca, 0x06fce7ba, 0xd6cd1da8, 0xdba73536, 0xf33afa00,
+    0x84edab16, 0x46725245, 0xcfbe2bf3, 0x7c2c9fe3, 0x0c6fc0dd, 0xef37fcaa, 0xfe88bef8, 0x7537e804,
+    0x1d6e66c7, 0x71dae8c4, 0x462a426f, 0xb5bf1e4b, 0xbfdf5dd3, 0xbc1e0761, 0xfa505b1e, 0xa4f086d6,
+    0x139e59e4, 0x4a8717db, 0x4b84d6f3, 0xca1ed792, 0x381d36bf, 0xf54cc967, 0xe695264f, 0xe11f05ef,
+    0x49811fd2, 0xbe26ae42, 0x8dd4a0b5, 0x381916ec, 0x686b7645, 0x369a1196, 0x73db0a69, 0xe3c6b8b4,
+    0x439b6006, 0x635c8018, 0xd3e73989, 0x8533824d, 0xaf610ad5, 0xf3f1ef21, 0x559a56c9, 0xa1f9fdf4,
+    0x5cfce05e, 0x47b60cdf, 0x07fef788, 0x01898d84, 0x7ba63ea1, 0x45524bc6, 0xa9b914ad, 0xdbbd3774,
+    0x9a99a20c, 0xbcf2b0a0, 0xb52fdfea, 0x570e2795, 0x16f797b2, 0x5fa52415, 0xe695ec83, 0x29ad38d5,
+    0xabfc23d2, 0xd2265772, 0x68a06190, 0xb02583fa, 0xd4ff92a1, 0x5f749d83, 0xc4e99245, 0x46be508e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000011742712913869166139447402983946\
+                          68513687841274454159935353645485766104512557304221731849499192384351515967488 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2,
+    0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7d, 0x187a62f9, 0x9af02162, 0x2ae0c5c1, 0xdb41549b,
+    0x00000000,
+    0xa03bf36b, 0xcfa0fe75, 0xd83ea431, 0xbf8f5470, 0xad8238ca, 0x4b75c630, 0x6b7c69c0, 0x3abe4a1e,
+    0xe7cc874b, 0xf18b2dfa, 0xf3e839fc, 0x7ba29cbb, 0x2e42f585, 0xe5812d04, 0x5b77ea94, 0x20bae8ec,
+    0x1a89050a, 0x5b0d0c9f, 0xf1ec9d27, 0x166f7b14, 0xd10e1f46, 0xbc0d0959, 0x13610416, 0xca20d864,
+    0x9a3b57a2, 0xc9edc32c, 0xa2edc81e, 0xd1640ae5, 0x3704f73a, 0x0da4d45a, 0x5fda87c0, 0xc825155d,
+    0xe10fe319, 0x6ebd2904, 0x4206fa95, 0x742ec073, 0x1a6b8f90, 0xfe003aeb, 0xbde7c17d, 0xac2a8074,
+    0x6df18d1d, 0x69273917, 0x7db6d902, 0x45e0880e, 0x54272ab6, 0x4fe0f3a8, 0x982859f3, 0x90ccda36,
+    0x31a15796, 0x2215a3f9, 0x54247de3, 0xca31ef52, 0xe8e3233a, 0xa89deb17, 0xe8434e9e, 0x5a64bc6e,
+    0x4a56f487, 0x86b34acf, 0xd1455387, 0x5ddea4c6, 0x610798c3, 0x3a7012f1, 0xb99db5f1, 0x46578f06,
+    0xb8e46504, 0xc69d2682, 0x2c6d5184, 0xcecc95f0, 0x046c7d7b, 0x82fd7a2e, 0x824d7a48, 0x65d6e842,
+    0xd9becaa1, 0x5e89e6cd, 0xc4b0f56e, 0x9aa22d1d, 0xc3d2fd06, 0x9d71e292, 0x527091ee, 0x06be8e97,
+    0x9b741677, 0xe06817e6, 0x09e6b0a4, 0x2ba0d6e6, 0xe2585289, 0x4bffba76, 0xaad5a8c4, 0x9f094bb3,
+    0x5dfbb526, 0xeccc816b, 0x7ee2f520, 0xf1468e58, 0x51de864b, 0xac7e1039, 0x5ff41af1, 0x9c589e37,
+    0x2b5f2589, 0x319ea11a, 0xb38a8513, 0x6ed0a309, 0xa9f1bbe1, 0xab12c8fe, 0x6c2bf4f5, 0x359374b8,
+    0xa6f9d95a, 0x3a090a71, 0x1ab4b6d5, 0xafb3f1e8, 0x4462ba5a, 0x48bf256e, 0x6a8a4995, 0x7ce2a567,
+    0x911e9610, 0x97bebae7, 0x6e4d6421, 0x3fececb8, 0x029cfb40, 0xc9b32b3e, 0x3095339d, 0xace0cab1,
+    0x3a182940, 0xa068bb36, 0x596ff92d, 0x172d066b, 0xc1e0ea69, 0x435f362a, 0x166b9670, 0x4ac68de4,
+    0x2466492a, 0x41223245, 0xf36a9b7c, 0x92b41ce1, 0x9b36dce7, 0x00f0864e, 0xe6d7b3fb, 0xefc80a0e,
+    0x110b437d, 0x68ac0860, 0xc393d09c, 0xd169bdf0, 0x58b46098, 0x732e9c90, 0xd8d2a257, 0xe88d5359,
+    0x510f2aad, 0x517169fd, 0x1bbb8ade, 0x835e3447, 0xd6d7848b, 0x221d51f4, 0xe95fea69, 0x62b18ea5,
+    0x1c748e30, 0x47a13c87, 0x1774791e, 0x931a47fe, 0xc3a453f7, 0xd9e1c98c, 0x781d269f, 0x09523e04,
+    0x5bd86b3d, 0x3c3cce9a, 0x591245b9, 0x0b477a16, 0x21badff2, 0xf2dcad2d, 0x27227b41, 0x6a6e375c,
+    0x5972f956, 0x9a8c352f, 0xee9c9542, 0xebc9b8a4, 0x46e12873, 0xffba1a3e, 0xafa1ac1c, 0xae2953e5,
+    0xcffd6dd4, 0xf43e3106, 0xc441a059, 0xb2681874, 0xc01c146f, 0x82e9e905, 0xc5bee86d, 0xaea9ca69,
+    0xe49f241c, 0x4b3c0a62, 0x18ad102c, 0xada9b3d5, 0x84abfa57, 0xe0931923, 0x2792f64a, 0xf6baa2b8,
+    0xc1f0026a, 0x25e7341a, 0x3fb8a50f, 0xb9da9159, 0x50834d83, 0x00c82beb, 0xe0bf5c75, 0x56e9dc58,
+    0x46a749a7, 0x3751bdbc, 0x98579305, 0xb384706a, 0x71a4fd84, 0xc14bdbac, 0x14831a04, 0x95103a64,
+    0x84369eb8, 0xb65fcd8f, 0x91a357e6, 0x7867ec64, 0xdf85580b, 0x2eb75b5e, 0x4f2ce3d3, 0x1c9e1c6b,
+    0x9a9a8bf1, 0xf69b10c7, 0xf752454c, 0x56dd774e, 0x24764e24, 0x3add5d15, 0xd63a7ace, 0xe27956c2,
+    0x26e547e2, 0x225415d9, 0xcc4a7184, 0x7b780a00, 0x5559ef25, 0x8b74f68f, 0xb4219281, 0xc1e2c6eb,
+    0xc0105e62, 0x94fdd769, 0x051bd08b, 0xea6ff362, 0x0cf55923, 0xdcc1c595, 0xa841c1a3, 0xe13edc89,
+    0x42387071, 0x25803c51, 0x6e60a435, 0x06e78b74, 0x9e2e820d, 0xd74eeda0, 0x5ac2aa77, 0xecad1455,
+    0x696083ae, 0xccbc5b8a, 0xcce0c1b1, 0x83c341c5, 0x77cfcb27, 0x0143f361, 0xbf8a747f, 0x1f1fd077,
+    0x69a4d5c6, 0xffb134d1, 0x44ed659d, 0xfbcc08bf, 0xbf6cb9b7, 0xf3571183, 0xab3fd42a, 0xa5fa69b3,
+    0x9e8df777, 0xa682bd02, 0x3cf03afe, 0x14fbb803, 0xe931dbde, 0x49e97d74, 0xb2078f10, 0x5f2ea231,
+    0xa140d767, 0xb6e06f36, 0x6e4b0eb6, 0xa6eeb1b1, 0x15aeafb1, 0x01ce52b7, 0x969314a2, 0x6f87d411,
+    0x733f8638, 0xd100b432, 0x958440d3, 0x8c533f08, 0x7530eb89, 0x4181e02f, 0x29cf709d, 0xb62c8e4d,
+    0xd954d3dc, 0x8757e1fd, 0x76cf9b48, 0xfc9be31d, 0x87e14b20, 0xfbdc7409, 0x2755a4da, 0xca5b44d6,
+    0xf37de6f1, 0x766ae780, 0x88ee6858, 0xa4f2f51c, 0x8134cfef, 0xf526686f, 0xc481c911, 0x3d19a6b0,
+    0xaad1f562, 0x0914045f, 0xcc900c99, 0x6bee25b6, 0x4067a8ad, 0xd3a388cc, 0x7f6db52f, 0x4ac32e0b,
+    0x724da5b1, 0xb1db63ab, 0x48bf595f, 0xa3c03232, 0x857a3bbb, 0x49b852fb, 0xfc4b7d1d, 0x84ad5454,
+    0x760032e5, 0x69c3dde2, 0x4338b923, 0x847d731e, 0x9832480c, 0xb19eea90, 0x9748402a, 0xc12409c6,
+    0xdeb2407f, 0x3cff319d, 0xc6110dda, 0xdbe36910, 0xedc7e9cd, 0x42bb6f2d, 0x8ed52b94, 0x5eb3d06e,
+    0xd61fda01, 0xd9c4df0e, 0x5a50520a, 0xe8646c47, 0x31bcc165, 0x8aa7ed47, 0xf81a308e, 0xd4a1070e,
+    0x621c4366, 0x80fcd1d8, 0x17d2772d, 0x6555708d, 0xdbd66eeb, 0xa54de141, 0x17fa1751, 0x2177b85d,
+    0xc7a6c4c2, 0x703db80a, 0x6f419428, 0xd71b7094, 0x20d4ec72, 0xf9cfdafb, 0x795cf901, 0x0825b0a4,
+    0xc86f9fae, 0xadcf1021, 0x1950a383, 0xe050cfbe, 0x30260d54, 0x0adb5e70, 0xcf8d9c5a, 0x74f38604,
+    0x6fea29fa, 0x8d9b16c2, 0x1ac83f4f, 0x13bab53b, 0xe05eb817, 0x92347d78, 0x646497f6, 0x8d55e75a,
+    0xa4ab768e, 0x8195796f, 0x0841d7bd, 0x5eed2171, 0x6990e2e5, 0x4ac0b373, 0x4006279b, 0xa9e3e0b0,
+    0xc862b595, 0x37c59c15, 0x34793b7e, 0x64b6b0d8, 0x600cc6c2, 0x3dbf3f4e, 0x214ea42a, 0xcdb45571,
+    0x8d56c9e7, 0x320b36b8, 0x65129846, 0xc96e67f1, 0x27e1b3ca, 0xea7f4928, 0x20138ed5, 0xaef6f20d,
+    0x3e742ba3, 0x4b996a53, 0x5d9a51ef, 0xe2a4447c, 0x02558bf3, 0xcb3114c6, 0x97c97e03, 0xb66c1054,
+    0x89787165, 0xfb389bfd, 0x53da6bd8, 0xdb4a6fad, 0x38436446, 0xa042c135, 0x34d79800, 0xc4cfa140,
+    0x72d23a5e, 0x6e1107b0, 0x7881de8d, 0x165311b5, 0x090bd96b, 0x9827521d, 0x21bf254e, 0x080a08a9,
+    0xc0cfefb2, 0x9ffbea9f, 0x2b740aee, 0x830bb40f, 0x98d280d4, 0x2bed60ce, 0x97bc533f, 0x7763443a,
+    0x71941821, 0x240c4dac, 0x890b6998, 0x13292ff6, 0x36f642fd, 0xe563921c, 0xf092aa53, 0xa536d216,
+    0xb005a84f, 0x0b9f74f5, 0x7bf5cda6, 0x102d8874, 0xff840891, 0x228b4cb1, 0x90d50557, 0xca49889c,
+    0x0339a47d, 0x90f67322, 0xf870d9a0, 0x5520cbbd, 0xf180f0d3, 0xb59564d5, 0x40fe1bc7, 0x5fa3b7d2,
+    0x840d9945, 0x23b5ef82, 0x01541c5e, 0xfac42bab, 0xdc8ca17a, 0x4bc4861b, 0xce570d43, 0x7b18289f,
+    0xdc76796f, 0x52349b6d, 0xbbc5804a, 0xec8a0b0c, 0x84ff0bbd, 0x3fb77d27, 0x7e794565, 0x8296f70c,
+    0x8a1df70c, 0x1a07e34f, 0xd3d3a244, 0x3ec69993, 0x07f62829, 0x7c40fd75, 0xdab1a8bd, 0x9037a929,
+    0xdea978ef, 0xaf8babbc, 0x563c84fc, 0xf2560516, 0x4b6513e4, 0x0e91a910, 0x0ca9add9, 0x54fcb6a2,
+    0x4eaaf68d, 0x5f2a9b83, 0x5b195dd2, 0x46572b45, 0xf53ab4c8, 0xffcbd6e4, 0xcd9504ac, 0x9c4d4148,
+    0x0543397d, 0x52c1161d, 0x1fe7d2f8, 0x635f8e85, 0x6f70fb7f, 0x48210f2b, 0xcabb1260, 0x6782a4dd,
+    0x7dd41e07, 0x944edee0, 0xab2c778b, 0xb329b345, 0x3d0a51ee, 0xa85abdf9, 0xec20bba1, 0x9522e982,
+    0x43c36b57, 0x6f02c236, 0x602bb8ac, 0x0fa6a686, 0xd4a81670, 0x5d0e7f79, 0xc8a868c7, 0xce375410,
+    0x99c419e4, 0xd4e9bc94, 0x356c2de4, 0x67c5b40f, 0x248f0eba, 0x84363fdd, 0x781e3f24, 0xa9a2cefb,
+    0xe89932ef, 0x2cb82ac9, 0x9f003a87, 0xd71bc97d, 0x1b48c56f, 0x4fbf1e2a, 0xf9df136e, 0x858cb14b,
+    0xe00633ba, 0x6ae6fd07, 0x3b0308b5, 0xd5877225, 0xdcc0c227, 0x55199d9e, 0x3042410a, 0x8ccc9bcd,
+    0x8b96ebb4, 0x484a8ac1, 0xfebfb56e, 0x6a210904, 0x3f9157c9, 0x79e42c4b, 0xe35e1d9a, 0x6d8962e9,
+    0x10cfae31, 0xe555f38b, 0x588d37e3, 0xa4522bd0, 0xad5497fa, 0x6de0ca38, 0x4fe4b977, 0xb7c71233,
+    0x36aed4a1, 0xdea0c334, 0x15028a2f, 0x0f44b2bc, 0x53d125cd, 0x487f3595, 0xeaf279d1, 0x32fce6b2,
+    0x2e79d251, 0x85e8b06c, 0x19e80bb6, 0xcdab07ed, 0x9b208718, 0xaa67bdf2, 0x0df55599, 0x5a972f9c,
+    0x0824adeb, 0x7a64a91e, 0xdf6af016, 0xb904eb17, 0xabdea393, 0x103f57c0, 0x35104f6e, 0x9eb8d3cd,
+    0xefb0748c, 0x3895241e, 0x6db9a52d, 0xd9c18284, 0x7a2be9e6, 0xe25e1494, 0xac472497, 0xf899b503,
+    0xa019afc1, 0x1a2d8bf9, 0x3400380b, 0x4ff9d960, 0x5589e722, 0x8c42bdb4, 0x52768a36, 0x40b4c19b,
+    0x1472bafc, 0xf3f92ce9, 0xd11b4661, 0x431fd6de, 0x4cf775ce, 0x2b2e629d, 0xd19cea33, 0x5b9e5372,
+    0x27b75900, 0x909be560, 0x5bc1d95d, 0x3a016f09, 0x4afc7c2e, 0xb71ab141, 0x3a835bd2, 0x9b0c5e71,
+    0x3062f68a, 0x4751c6d1, 0xc94cc15b, 0x67128052, 0x65111210, 0x8f4da70a, 0x5968da49, 0xc66f09fc,
+    0xa49b47c9, 0x31f9902e, 0x398e43ca, 0x7ff07b78, 0xd7cff7b2, 0xa6e9f73e, 0x8233ea68, 0xafd3d9ff,
+    0xfa5bcae9, 0x5a1988b8, 0x79a2bd0a, 0xd449be8f, 0x2c75467f, 0x48484391, 0x038d0cab, 0x616a4880,
+    0x7c3bce56, 0x72b5183c, 0xeb8c914f, 0x1908bfdf, 0xa87acf7e, 0x53dfebf0, 0xe22dfcf3, 0xfee0a082,
+    0x1046872e, 0x682b8729, 0x086a8ff8, 0xdff0ac1f, 0xf740c42c, 0x1df15d0e, 0x565a619b, 0x21ef83fb,
+    0x96b45740, 0x6242e414, 0xa6651681, 0x93aa91d0, 0x86419c30, 0x26358d8c, 0xd6a072ac, 0xe71d851b,
+    0xb1b4f51c, 0x5467ed12, 0x284849a7, 0x9397c5d4, 0xa14c2e73, 0x6deb4b05, 0xa19aa13b, 0x49528c08,
+    0x62c04cf1, 0x41fda0dc, 0x30b49313, 0xd267ad0c, 0x55d27482, 0xe243e2c1, 0x0b3b37ee, 0xc53de0c1,
+    0x2c8eb2b2, 0x9dcd5e5f, 0x03825619, 0xc2b5f2de, 0x28fdfd70, 0xa684d1bc, 0xdd3795a0, 0x798fe08c,
+    0x0a1ad5c3, 0xf351bead, 0x257dfa14, 0x20df4c8a, 0x75a6e752, 0x011e028b, 0x1ddc2235, 0x245b6a30,
+    0x3c55977e, 0x0c483ee9, 0x91f1a51f, 0x73bd48a8, 0xc23ee9c2, 0x0dc5913e, 0x43d5f103, 0xcd9e9f43,
+    0x1d257ebe, 0x6f681c12, 0x260e6976, 0x9b48e243, 0x7ea8e8d8, 0x1abd1fc7, 0xa5d34cca, 0xd0217962,
+    0x9767b848, 0x56a25c7b, 0x32ae09d5, 0x980d6e2d, 0x8bd8fe5a, 0x67d13912, 0x12aa48ed, 0x64a709f3,
+    0xb85700d8, 0xbe81b95d, 0x4d0028be, 0x6e8ab0d7, 0x9b04c826, 0x9e5fe979, 0x2c2a4c24, 0x64e36366,
+    0x0f396700, 0x152c3880, 0x72433a6c, 0x89b5b63f, 0x940c923a, 0x15b59b1e, 0xd360cee7, 0x540f782e,
+    0x279ab3cd, 0x24ad9f88, 0xdde49f88, 0xba78f740, 0x7b5c6401, 0x81afe24d, 0xa12d2fe7, 0xa0d5ecda,
+    0xdabe4b82, 0x2901c79f, 0xa4447f2e, 0x836eef65, 0x9918c4c7, 0x8acdab23, 0xf220b603, 0xcaff0196,
+    0xb0acaa42, 0x80c9a464, 0x952dee8c, 0xc3a876df, 0xba195ad3, 0x2dbe4586, 0x74eeb84c, 0x7897bfbd,
+    0x7d1f6eee, 0x858428cc, 0xb9c9ecdf, 0xbb2dc0c2, 0x7d681f1b, 0x6335aa8e, 0x3970430d, 0xeb761b73,
+    0x4d463158, 0xf74ba1a2, 0x9656fa0d, 0x158307a4, 0xad8725a3, 0xf7c8c42d, 0xb531789f, 0x5d8d5002,
+    0x4481143b, 0xa30e3537, 0x042c5bcc, 0xcb0e8a51, 0x57464b22, 0x75258eaa, 0xe03ed112, 0xef9d8f34,
+    0x68906a9f, 0xd7f11d82, 0xf8beec28, 0xb92c567b, 0x68088241, 0xeb6c13bf, 0xb123eca6, 0x32688354,
+    0xb02fa575, 0x4ab157bb, 0x0f68d38a, 0x4e988ce4, 0xaf65e357, 0xb8ba4dbc, 0xa4563760, 0x38e52079,
+    0x50eb0660, 0xb27e1c69, 0xcd1471cd, 0x005fecec, 0xba33d3c8, 0xba8a5ca4, 0x94ac8a05, 0xc79e9709,
+    0xa4675d94, 0xefeb9a16, 0x1dfcf54c, 0x00493d71, 0xa96f1def, 0x7dcc8b40, 0x0cc7bbe0, 0x2719efc1,
+    0x930a29fa, 0xed0895e2, 0xdc00a83e, 0x74565b03, 0x00301c8a, 0xebafe510, 0xe0c29933, 0x6f1d2047,
+    0x1b469c99, 0x24696e02, 0x043fe59b, 0xc75041dc, 0x622b096c, 0xbe5c6f45, 0x510b6ad4, 0x65e4adfc,
+    0x9b5797b2, 0x3e8b7e38, 0xbd51a018, 0x137cca5a, 0xd8892cbb, 0x22b54400, 0xfd521184, 0x3c94515b,
+    0x6c5aab80, 0x1a814534, 0x6622df9e, 0x7a5aa931, 0x45cd6e96, 0x4f684410, 0x2d4c563a, 0x706b908a,
+    0xab5d99eb, 0x7eff5d8d, 0x5cad2af2, 0x0171672c, 0xaadd278e, 0xf844e277, 0xc4a6594a, 0xf8ca81bf,
+    0x13aa6403, 0xa9712dd6, 0xf3a836ae, 0xd62900b7, 0x32cef30e, 0x3221acde, 0x3cad46a3, 0x9f1b1971,
+    0x91e30e2f, 0x1662e0bd, 0x6418a359, 0xf1097d2a, 0x25364c20, 0xc5d1f1a0, 0xa99e6773, 0x8f7921a0,
+    0x3f881f61, 0x6f6258c4, 0xc626b7b0, 0x591aa994, 0x083f2e99, 0xed8bf8e3, 0xd07ecb06, 0xe1b6965d,
+    0xa5224f3f, 0x409492ab, 0x8ddaf30d, 0xc13fa9eb, 0x43d8d175, 0xa895a33b, 0x8673a0f9, 0x83451db9,
+    0x724c58c5, 0xfd68255f, 0x84a96f78, 0xae536fee, 0x6217299e, 0x16ec61a0, 0x9d17e7f4, 0xb2b39122,
+    0xe939d52e, 0x3a0dffeb, 0x2162475c, 0xafa97c44, 0xd0598720, 0xa29772fb, 0x21e043c9, 0xcecaead8,
+    0xb194ef27, 0x3e6f8813, 0xe2a3ce17, 0xd0fc1ec2, 0x0c2f3762, 0x23f1cc9f, 0xad65f535, 0xcf480616,
+    0x270ec14d, 0x92b82661, 0x2de8a902, 0x7eafdc07, 0xee44fef7, 0x51aeeba0, 0x28c4b08a, 0x388b98b6,
+    0x6cd79402, 0x0b55611a, 0x8183653f, 0x9134c5a3, 0x8daf41fb, 0x131e65a9, 0xd960fd55, 0xaeec13f5,
+    0x5d907971, 0x87d74fcc, 0x883aeea5, 0xf35a3a4e, 0xd5d3c868, 0xf6482764, 0x9c837a4c, 0x33604bbb,
+    0x9c04cf99, 0xc0213abe, 0x01f2bc76, 0x307ef9f6, 0x9a894be6, 0xf528846b, 0x5f69479b, 0xf1433418,
+    0x6d7d3624, 0x7746963c, 0xd042812a, 0x35da19d9, 0x86fbbb85, 0xa6cd1cf7, 0xe6d11bc5, 0xba773eb2,
+    0xa3da1c8e, 0x655b6d5e, 0x749d32b6, 0xf65a1661, 0x7e121088, 0xf1e0aa1a, 0x5317f2b5, 0xab18696a,
+    0x73dc0caf, 0xd318665e, 0x2acc7b58, 0x46d853cc, 0xfbee536b, 0x93c38a4b, 0xc82f2869, 0x29f2bd2c,
+    0xbf2842e1, 0x99b907c3, 0x9762dc1a, 0xeff8c032, 0x70c5085d, 0xbcb0a8e4, 0x665fb14f, 0x7ee069dc,
+    0x01c9dbba, 0x13d809dc, 0x5e6cae9a, 0xa72765e7, 0x951235b7, 0x5895b425, 0x1bb3b926, 0x2a1add58,
+    0xa113471c, 0x1e15b6f0, 0x2ec7cf94, 0xfadb9786, 0x453d37ee, 0xea821b92, 0xaef8a0f8, 0xe53b1a84,
+    0x38fb5c49, 0x60fd548d, 0x335aa3b6, 0x573c4957, 0x43ad260d, 0x3c4e8674, 0x1bb61d21, 0x20ca566c,
+    0xd2758dfa, 0xb50dfc9b, 0x84fc4024, 0xae15b9be, 0xbf9c4d76, 0x19cee4b9, 0x21107214, 0xcfcf9228,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000005871356456934583069723701491973\
+                          34256843920637227079967676822742883052256278652110865924749596192175757983744 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059,
+    0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbe, 0x8c3d317c, 0xcd7810b1, 0x157062e0, 0xeda0aa4d,
+    0x00000000,
+    0x8f3689ed, 0x95b972cb, 0x94f96681, 0x933c689b, 0xf289a566, 0x8889ccc8, 0xaecde4ea, 0x73ef60fd,
+    0x16e47ef2, 0x7d7a2c7d, 0x95fba1ac, 0x06918b9a, 0xad6d1e3f, 0xed05a036, 0x9a908c6c, 0x07ef77f5,
+    0x493e5f0b, 0x5169fe6d, 0xbb6dc437, 0xd942449b, 0x152a36a3, 0xcbe2f596, 0x57f47684, 0xebea4dc7,
+    0x3a05d06f, 0x7fbde3d6, 0xa04a005b, 0x390665fa, 0x508c7cb0, 0x8e8bbf89, 0x8b95e320, 0x958568f5,
+    0xd6ac08da, 0xcc875ca8, 0x0697751e, 0x15f5ae4a, 0x756701e0, 0x49f1bffa, 0xbbf4d351, 0x94a7f497,
+    0x85d17edd, 0x73365884, 0xc86729ba, 0x30a8d228, 0x8c3c5376, 0x4f57742f, 0x1e91c467, 0x4efe09f4,
+    0x8f1a29ac, 0x884e9c0a, 0x29299d00, 0x82280550, 0xd3c1ff2b, 0x46ec7add, 0xa1e19029, 0xed9802df,
+    0x448e3e70, 0x307c89b0, 0x4563683c, 0x640aab89, 0x0d731473, 0xa8de134f, 0xc8a0ea25, 0xf5bd1989,
+    0x85b1bb29, 0x224557f3, 0xb0ecf7eb, 0xd48349c6, 0x784dcfee, 0x9d06c79d, 0xfd8af5fd, 0x9d398cd3,
+    0x692db799, 0xc7f1a499, 0xe5b182e7, 0x88099cd8, 0xb65bdaed, 0x5aa8d4b3, 0x191fbe18, 0x99b4d169,
+    0x5f52dcc0, 0x20366c45, 0xb272fc4d, 0xfd1fa8e8, 0x7dd1de54, 0x884e3dbb, 0x767a277f, 0x5bdecaa0,
+    0x4688b893, 0x21345c96, 0x551f2f77, 0xc4db0490, 0x3d77f33a, 0xf918e6a7, 0x38a363dd, 0xe1354067,
+    0x9d312a4b, 0x878156fb, 0x408a9859, 0x08f364ab, 0x5eb84ac7, 0x188fb09a, 0x9d8ea5b3, 0x386a71ba,
+    0x189f591a, 0x59b2d078, 0xc76dcfbe, 0x3b043e52, 0x0fcf960e, 0x9e114f1e, 0x238e6b5b, 0x44b9d792,
+    0xd12bdf9e, 0xd5cfca17, 0xd95c5c38, 0x2dc7629a, 0x449da081, 0x34fe62f4, 0x74759ed7, 0xc6da5a41,
+    0x3a2644ef, 0x3d4f42e8, 0x3213c841, 0x8bb9ca53, 0x5257708b, 0x69c2ed6b, 0xb21e1036, 0x33076cc0,
+    0xa8e00ae8, 0xe34d3dae, 0x3b9a6836, 0x2c8019de, 0xecc7033d, 0x26dd13c2, 0x4764756b, 0xc810f1f6,
+    0x56e40316, 0x6ea008ce, 0x18fc858b, 0xb2782d19, 0x55f1887a, 0x354cffd1, 0x96c2ed30, 0xdec98f53,
+    0xf121d607, 0x845e8622, 0xebc10915, 0x1ec20297, 0xd8a212d4, 0x37586a41, 0x25e2272f, 0x0045889c,
+    0xc9dcac3f, 0x7253efff, 0x1910ee7a, 0xf60af6a8, 0x3876ea3f, 0x5521d3af, 0xa33980c5, 0xb1551622,
+    0x2bbe5a84, 0x5890d1b5, 0x1e54474d, 0xfd14233d, 0x4ba2f404, 0x512b2629, 0xea2b2ce9, 0xb147b18e,
+    0x0f47faaa, 0xdfe90fe4, 0x1702104d, 0x35688031, 0xc22e54f0, 0xa16090f0, 0x95eb7562, 0x2f929654,
+    0xa64c538b, 0x5915b1ac, 0xb39baafb, 0x6b81be26, 0xa3bba1bb, 0xecd8b5c3, 0x45b9f5a8, 0x92a86dac,
+    0xb55404f6, 0x6692cdca, 0x23c6cb82, 0xc0ee5e95, 0x83eeafdd, 0x76f57705, 0x9641144c, 0xe354f898,
+    0xa6b5dd23, 0x73274659, 0x3a8daf64, 0x0f40a7de, 0xc8add09e, 0xce4a4e53, 0x400c8253, 0x2db272af,
+    0xb9a53b45, 0x4c369fe3, 0x3142caad, 0x544432a5, 0xc1248614, 0xfb1cf4fa, 0x90365cfe, 0xe4c6b8f0,
+    0x44812fb3, 0xcfc382e0, 0x83f5e152, 0x7ba2cc27, 0x0e369ae0, 0xb087ab2d, 0x9e3c60f7, 0x31f1b503,
+    0x9cbf4844, 0x3b40617c, 0x358b9438, 0x07367944, 0xa16cfdd8, 0xe465f7ba, 0x7fda7852, 0x70272df7,
+    0xb6a737ca, 0xa0bf5aef, 0x5234c3b3, 0xfd855728, 0x7b429a2f, 0x818794a6, 0xdc8229a1, 0x7048732b,
+    0xd9a9ce10, 0x85ab886f, 0x4a4d186f, 0x3d7f7f1a, 0x1fa4f47f, 0x8f99aded, 0x2559ab66, 0xcbdba1de,
+    0x15dbb0d5, 0x976d4042, 0xf9260e85, 0xc64c607e, 0x554aa4c0, 0x86e6da90, 0x6a737825, 0x04700f6d,
+    0x8ee03a0e, 0xfec2422c, 0xd79174fb, 0x5a19aaa3, 0x061e46c0, 0x111d37dc, 0x939459af, 0xdad0f8a9,
+    0xcfe71ce7, 0xd92d2249, 0x4ac30f07, 0xe2a17a8a, 0x5598ee80, 0xd30dc6fd, 0x92ff93b1, 0x59d733cd,
+    0x131fc33e, 0x5eede8e4, 0x0a14866a, 0x231a7e8b, 0x13442bbd, 0x175ed637, 0xc3efbc24, 0xedd2b3e1,
+    0xc42b8e96, 0xdee367f9, 0x6536214d, 0x82cb2241, 0x25caef72, 0xaaaf80b1, 0x1ad4c9c3, 0x5e463722,
+    0x589bec16, 0x2c3183a9, 0x2345ab39, 0xce3b6125, 0x3687e13e, 0x5efe1a0b, 0x85c4d055, 0x1d9904bd,
+    0xb13de3ba, 0xa7e5a01b, 0xeae3685b, 0x61fd6529, 0x901ebd12, 0xce2cdb00, 0xed81b065, 0xce36b269,
+    0x4676b5f6, 0x7d745f6e, 0xe7d678ca, 0x2a3a27e6, 0x14adf2f3, 0xfe927b67, 0x19f9e8be, 0x3646797a,
+    0x78ba113b, 0x9dbc4a99, 0x1952b82a, 0x7de8412c, 0xa702e776, 0xfabcb2b8, 0xa5938c84, 0xcd56e34e,
+    0x0aa8a244, 0xac38ab35, 0x3d3e860d, 0x99e1af98, 0x3f4c03c7, 0xf20aa245, 0x26c3146c, 0x55655fad,
+    0xd90e955c, 0x8b4f6b57, 0x5b946a12, 0x4a0597b4, 0x928af763, 0x4424260f, 0xe6219e89, 0x8578563e,
+    0x598dba9e, 0x8444264f, 0x60b5a802, 0x1fe8033a, 0x04aa37c5, 0x05b9e39c, 0x05f2d367, 0xc32b91ad,
+    0x59e1df13, 0xe809d558, 0x04c2eb78, 0x0753b47d, 0xd1719537, 0xa1517ada, 0xb7787da2, 0x378e7d62,
+    0x886af48c, 0x3ef01a51, 0xc145d020, 0x125a60bc, 0xd8f08c0f, 0x5371f924, 0x5e71289b, 0x078889ca,
+    0x3e13049a, 0xb87e2b45, 0xfc1f9381, 0x13df88f6, 0xd846db11, 0x8f7ee3fb, 0xb7f63f5d, 0x5b7d59c9,
+    0xf52d55c9, 0x1b8b2852, 0x29bf99f5, 0x94dce075, 0x052314db, 0xfce839e0, 0x5b54eb94, 0xd243f8fd,
+    0x6972a7db, 0xd98c2802, 0x9db4a55e, 0xa4f94275, 0x4667d685, 0xdaf28203, 0xa94d163f, 0x98b457b3,
+    0x8d679579, 0x91805a61, 0x09eb8554, 0x5b01708d, 0x79e7577c, 0x8317eefe, 0xc6502d83, 0x7195a0a3,
+    0xcfb101c9, 0xa88c72ea, 0xd0cca882, 0x5f497aee, 0xa66b2e19, 0xd5b0824c, 0x846352ec, 0xa050b4ec,
+    0x258049e6, 0xd38a5b95, 0xd831b1a9, 0x711eb2da, 0x3c9fe8f7, 0x901384f4, 0x961a3077, 0x9f76dba8,
+    0x412d8c6a, 0x26be53ee, 0x99119e35, 0xf032f715, 0x46cfaac6, 0x6d046490, 0x094235ed, 0xee3ed167,
+    0x11f57605, 0x07a9577d, 0x1f73e1c9, 0xa6696910, 0xd69193ef, 0xb246bd36, 0x4f0d9639, 0x6dbb27a5,
+    0x8096275a, 0x5fc9f881, 0xe23f22f1, 0xb6944bb5, 0x03161d3c, 0xfc39d370, 0x75e2b901, 0x135f7001,
+    0xba752763, 0xe158d72d, 0x54583447, 0x51b87821, 0x324a1df0, 0x916e1b92, 0xb0091f49, 0x6238269b,
+    0x44c3cff2, 0xe31b77e9, 0xe9db99ac, 0x86753fe7, 0x511c81b7, 0x41400b2a, 0x640bd44e, 0xe77e05be,
+    0x88acf6f7, 0x713a219e, 0x8821578b, 0x2a74f04b, 0x6e05f806, 0x70043bc2, 0x61aa93c7, 0xb0efdd3e,
+    0x205f6972, 0x94ee1c78, 0x455dd3cd, 0x320901a0, 0xea59b0db, 0xb9c313e2, 0xcc62e417, 0x74167c40,
+    0x83bbdcf0, 0x85909de3, 0x3229cf1a, 0x306171dc, 0x03e3fab6, 0xd5ec0574, 0xd3dc9047, 0xde522432,
+    0x71d48b69, 0xcc4e32f6, 0xee4c0ddf, 0xb87629a9, 0x1b728004, 0x7f1aea04, 0x0a1d02bd, 0x70737fcc,
+    0x355fb2ca, 0x0e012036, 0x46f1f5a0, 0xde7f1cc9, 0x7540316d, 0x6130a03f, 0xdc98ab15, 0xee932ea0,
+    0xa8cddb9e, 0x18559085, 0xd42550b7, 0x95008cbf, 0xed29d6b4, 0xba43fae0, 0x245a444b, 0x1b4e3aa9,
+    0x9efa8d41, 0x7f404c08, 0x8b5af30c, 0x4bc5b747, 0xfa110c5b, 0x53ad49a9, 0x680517fe, 0xa83bb66f,
+    0xaa347189, 0xa14d006b, 0x750f29ca, 0x1c61f264, 0xc490a508, 0x0334a976, 0x40246fd3, 0x1e2c62cd,
+    0x32d87d07, 0x61282c0f, 0x8210a6bf, 0xe11ffc4a, 0x72e57285, 0x38d41ccb, 0xca5f27bd, 0xcf2ce1ad,
+    0x69d175f9, 0xc7601a6e, 0x16f7fee5, 0x03e4e147, 0x47535c11, 0x50f750cb, 0x83c5d7b2, 0x4cbd9ff6,
+    0xa6c39ed3, 0x90322b5f, 0xd8a4a723, 0x13e9aa58, 0x073703b6, 0x2933666f, 0xfa4d68af, 0xb73e13c1,
+    0x8cbbf017, 0xfe66afd6, 0xcaa876cf, 0x9cfaa796, 0x76d1a7f6, 0x962235c8, 0x9def54d8, 0x289b25c1,
+    0xf3426681, 0x198964c3, 0xfbc04813, 0xf97d06a9, 0x014dfa67, 0x4b21530f, 0xd2334e07, 0xb2c6fa3c,
+    0x1a1a6aff, 0x4eb034ed, 0x3d922a35, 0x0d5e8bc9, 0x25c760d9, 0x78b14eca, 0x9a8a1d0a, 0x56a8e9c6,
+    0xb19f911c, 0x88ff86ad, 0xdb335d23, 0x2b519268, 0x8d59cccd, 0x4bcf8b1f, 0xd4f9de2e, 0x0d540670,
+    0x3f30da40, 0xe8c4b4e8, 0xfca99b40, 0x7eeb1938, 0x28294145, 0xdb4804e6, 0x1acfde2e, 0x278020ad,
+    0x00121490, 0x14bf75d1, 0x393c2de4, 0x6cb1816f, 0x3fbea199, 0x1dc3ee8f, 0xdf17890a, 0xbcf9e368,
+    0xad891ab9, 0x10873476, 0xdddae125, 0xe478582b, 0x55b091eb, 0xb3abdf46, 0x1ded7274, 0x91ccac07,
+    0x9de9e09c, 0xb2c0d6c3, 0xee447466, 0xc17b5b2a, 0xbf49e4ae, 0x979f4826, 0x78a1adf8, 0xac43cdcb,
+    0x3cbf1d33, 0x79fea78b, 0x766b216e, 0x8ad341a4, 0x2d082672, 0x601f5e7f, 0x0fe545b9, 0x7825528d,
+    0x32fd2d97, 0x8c6a2999, 0xab96da8c, 0x62fe25b2, 0xd8df16a9, 0xca2e2520, 0x9f560f12, 0xd1961046,
+    0x801c04db, 0xe17e8529, 0xb46697df, 0xc2f9f728, 0x7bda0ed5, 0x8cf026d0, 0x4f5b4b14, 0xf9296030,
+    0x0319991e, 0x09a33626, 0xa4971556, 0x41dada7f, 0x5da87c30, 0x1295e1ad, 0x1f27c890, 0x2bc027dc,
+    0x20a9c4e2, 0xc9ef0fcf, 0xdf58fbbf, 0x5360e5d6, 0x9359ae80, 0x30d9aa95, 0xfd366622, 0x2c892cf2,
+    0x02dc294b, 0x1ba94ef9, 0x92a14351, 0x6124fc54, 0x891d2230, 0xbb6eebbd, 0x19f22c72, 0x22027fe0,
+    0xfe42f7e0, 0x6189d231, 0x5e53eec2, 0x2a52aa15, 0x2e623b79, 0x798bd46e, 0xc5d27dc7, 0xe31673c5,
+    0x15ebb88b, 0xd7c86fa2, 0xcfb4118e, 0xce4910cb, 0x6fd87010, 0xdd8c9f63, 0xaf817a32, 0x4fb4cfc8,
+    0xf39f0b37, 0x3a3961a9, 0xfa6b5693, 0x6527adf3, 0x1fbe02f3, 0x8b193412, 0xd6a5afbc, 0x67ac83ad,
+    0x077a3599, 0x6d48cac4, 0x49777ef4, 0x5458cc3d, 0xc3580900, 0x35aa6add, 0xd18da265, 0x07e1eccc,
+    0x48c1538d, 0x8e6e8707, 0x8dea5403, 0x6e9c2b8b, 0x4f0a961b, 0x30c2766a, 0x136a76b1, 0x6b8dbb73,
+    0x283cb448, 0xd0836c98, 0xe51446dd, 0x847d509e, 0xfc2f5eb4, 0xd4ecc05b, 0xa24a634e, 0x61484046,
+    0x74842899, 0x8f2ebacd, 0xae55f223, 0xc278ace2, 0x49631e9f, 0xc3d37dd4, 0x78ce3831, 0x6b2f74ae,
+    0x9269e76b, 0x44ab3207, 0x64a1cef7, 0xafcb94f9, 0xb75b1196, 0x73fdd646, 0x764c1519, 0x780468d1,
+    0xc9af825f, 0x5fe85d39, 0x6f3b04da, 0xca4e6cca, 0x6822b40e, 0x4a9269d5, 0xe6af7815, 0xdd674ce7,
+    0x20e1134f, 0x7d55cc63, 0x79602afb, 0xebe84e8a, 0x03c638bb, 0xce6cca57, 0xcf5a3a09, 0x64ccc6c1,
+    0x88feadb4, 0xf0b452bf, 0xfb633673, 0xf44ccb60, 0xbd597308, 0xed538398, 0xb5873100, 0x6054042e,
+    0x057ecf8e, 0x15451de8, 0xcc5c528f, 0x2b514b94, 0xea225615, 0x659353a5, 0xc2031d4e, 0x1e2b6284,
+    0x160e2111, 0x029ec73c, 0x21456fc1, 0xb78031c6, 0x0d9db1a3, 0xa8610dc1, 0xc75cb1a0, 0xeff1b116,
+    0xff719058, 0x6d90cc6a, 0x48bed756, 0x853be48c, 0x002f5fdd, 0x125f94f6, 0xffd07217, 0x388fbe3c,
+    0xb1c3594e, 0xf58b480c, 0x9fff1fac, 0x1baedba8, 0xd001d559, 0xc3c551f2, 0xbef4d00a, 0x2a9d2e7e,
+    0xc10beb94, 0xe09aa499, 0x7f72c7fd, 0x6c835b63, 0xe5045611, 0x82ff5e7e, 0xbaa15d35, 0x3f6c3d55,
+    0x57935d55, 0x6108b073, 0x6c0bb1df, 0x25a71068, 0x06ad699a, 0x907e9ae6, 0xb19b3ffa, 0x1872425c,
+    0x4658b0b5, 0x7c9c3689, 0xf5e2c33d, 0x752d9a1c, 0x171a28d0, 0x994630b3, 0x5e0b7c1d, 0x4a201cea,
+    0x6bd4aa13, 0xe3348351, 0xcc85ac2b, 0x2f613c81, 0x56721e34, 0x9987b78a, 0xc17b7f1d, 0x54c28d04,
+    0x931c9ced, 0x5051879e, 0x20f8ef30, 0xe29b9434, 0x31aaf167, 0x340bffb5, 0xeaea967b, 0xa721ad87,
+    0xcbe91ca5, 0x5d93fe1d, 0x55eba75f, 0xcb55e632, 0x49410626, 0x258179e0, 0x8fd82fb0, 0x8a1aa135,
+    0x30edcb91, 0x7b025741, 0xe06f4e03, 0x261ab406, 0x78873ac8, 0x70d699a5, 0xf2e7333b, 0xe17482f8,
+    0xa84789ab, 0xbaedc6d6, 0x69d6980d, 0xfeab7c96, 0x629856ba, 0xe0ed3351, 0xafb3bc1b, 0x4b745ec3,
+    0x72a19fa4, 0x57948543, 0x4c928e78, 0xfbf91265, 0xb07024c9, 0xb465c9ed, 0xbeb986ed, 0x8594abf1,
+    0xb9f0cfbb, 0xa6dfdf41, 0x8f2a7858, 0x11d444c6, 0xf9e2de66, 0xb15fb14a, 0x45d0b01d, 0x1d760bab,
+    0xa6b4577e, 0x515f3947, 0xc48979c7, 0x7a77d6d1, 0x58bdb18f, 0xc8d1359b, 0x34abbded, 0x5034e3af,
+    0x3e3feef1, 0xba3fa4a8, 0x448f6a79, 0x25ea302d, 0x37922943, 0x317b8368, 0x82a66256, 0x71b2c59b,
+    0xdcc371d0, 0x8d240b21, 0x0acc81b6, 0x0c9a3823, 0x238d4239, 0xee2ac094, 0xd9ea2bfb, 0x78f5be2e,
+    0xc6620808, 0x699f4aa9, 0x60de85ed, 0x683716f0, 0xe8858ecb, 0xe4cee6ed, 0x17f543b5, 0xaa85445a,
+    0x94f98114, 0x00bf71a2, 0x3a609f59, 0x450e9392, 0xbda187c9, 0x319b0e67, 0x6284f120, 0xb8674f7a,
+    0x27517ea5, 0x8e847f47, 0x7bcc5295, 0xe1a278fd, 0x52472c12, 0x2f7df62e, 0x8d9da845, 0x47320dd7,
+    0xf1994f85, 0xf6c320a7, 0x0f597817, 0x6c5277e5, 0x787f1674, 0x08c2f0e5, 0x7dab1d2c, 0xa6ee99d8,
+    0x854c6ec3, 0xc6e24a60, 0xa7eebf91, 0x57614fd9, 0xe2d42e65, 0x6432121f, 0x16fa341f, 0x54cdf8ad,
+    0x582e5782, 0xd000175f, 0xa982d532, 0x3a692c2e, 0x22592f14, 0x6722cc7c, 0xeae823e3, 0x9359d0fa,
+    0xe02d3407, 0x9ba388c1, 0xad0ce537, 0x9bf9c66b, 0xc1fc687b, 0xcaee2f6c, 0xc55af9f1, 0xbe41bd65,
+    0xdd0b5904, 0x3ffbb5ca, 0x541ab0c3, 0xeb7f634b, 0xc5ed33b6, 0x7504242a, 0xb2b3d79b, 0x7ffdfcf9,
+    0xcd02712b, 0xee3c2822, 0x6354958d, 0x099eefd0, 0xa00bb2fc, 0xbf283c50, 0x38a4bffe, 0xb257526b,
+    0xed2ea89c, 0x415daf8f, 0x1c99e106, 0xa6f97e82, 0xe3070064, 0xe20f2164, 0x6b1e0ef8, 0xf4e40e27,
+    0xf59b1261, 0xef00e8bf, 0x43b34fa7, 0xf7cb61f8, 0x4e72c605, 0xf014baa6, 0xbf9a8b05, 0x8fb5215d,
+    0x81c38168, 0xb5f91a89, 0xe976f0fc, 0x571af8bd, 0xd61647f8, 0x00b6eb4e, 0xfe5df406, 0x422be690,
+    0x9ea659fa, 0xd0ee7928, 0xf6b79f8a, 0x60cd94de, 0x7fba1038, 0x006f977d, 0x920439f9, 0x7f04864d,
+    0x5ebc9a2f, 0x018a5388, 0x495f22a1, 0x7f69afbf, 0x479ac860, 0x75c23de5, 0x685a3490, 0x29ec5a67,
+    0x2acec47d, 0xf2241c37, 0x3c37fe7b, 0xfc6fccb8, 0x893b038f, 0xe7f1ba83, 0x59bbc7d8, 0x10c4b8e1,
+    0x0e900745, 0x4b48c7a4, 0x2f63838e, 0xb35ffcaa, 0x22100dbc, 0xa63afc3a, 0x86c09158, 0x3bba400f,
+    0x9e16bf4a, 0x6b3bdccc, 0x1b5d6c28, 0x6d69a3be, 0xe6762108, 0x791a936b, 0x0e4aed3c, 0x51918bdf,
+    0x48648686, 0x136d8a2e, 0x2c276a82, 0xda7e31e1, 0x81f17886, 0x3902cdf6, 0x8d06b522, 0x523a03ef,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000002935678228467291534861850745986\
+                          67128421960318613539983838411371441526128139326055432962374798096087878991872 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c,
+    0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfdf, 0x461e98be, 0x66bc0858, 0x8ab83170, 0x76d05526,
+    0x00000000,
+    0x87649cd8, 0x1108e2ec, 0x05202cb1, 0xf5cc82e6, 0x631ad663, 0x2ff0a531, 0xd94edd99, 0x156bd6bf,
+    0x5d621280, 0xb716d09f, 0x902bcce0, 0x17da199b, 0x9b97de1e, 0x6452f2e4, 0x8a1a09b5, 0xab4c09b1,
+    0xc49810a3, 0x3af064e8, 0x5bae383d, 0x850f7b04, 0x43a025dc, 0xe1adf42c, 0xfe79c742, 0xc11cc2e8,
+    0xb4e580c7, 0x6a013a90, 0xb8bfa207, 0x7806899e, 0x386bab47, 0x1a7557ed, 0x6f9b9358, 0x363fdbfa,
+    0x9c437ee4, 0x41c95798, 0x27f40fcb, 0x7e6a3722, 0x743ca355, 0x2f6b0460, 0xe4361208, 0x257585b2,
+    0x044ae6bb, 0x5dbaec10, 0xf4becae8, 0x56072bfb, 0xcf19de18, 0x31aba837, 0xc7d3321e, 0xba5b2a48,
+    0x55478bd9, 0xc7574183, 0x0bf0a29b, 0xfc716e26, 0x116d6e3c, 0x77ee13bd, 0x207a293a, 0x65a7a25f,
+    0xe7f62dd4, 0xe7c8d966, 0x19abb2a6, 0x77a10122, 0x4d71733d, 0xbfcc111f, 0xad512be4, 0x2d0a0195,
+    0xfd5e0236, 0xf3712b9d, 0x42df724e, 0x85befe53, 0x75576e87, 0x4aca762a, 0x0e9fe865, 0x56f60852,
+    0x994b827d, 0x317da1aa, 0xe3e6b238, 0x5dd6785b, 0x9c184cc4, 0x08ab94d3, 0x3b6336f3, 0xa72168f0,
+    0x91ab9575, 0x27d68c3c, 0x18119e87, 0xe990caf8, 0x5ed5c993, 0xbc4ffbab, 0xf6abe72f, 0xabdbcb06,
+    0xf262de17, 0xd26eef8f, 0x324810d0, 0x759e81dc, 0xa7ad7f30, 0xf1bdb685, 0xf8160bb0, 0xe8f1ae2e,
+    0x079ef715, 0x0bf33d63, 0x542e3423, 0x592344de, 0xd853efc7, 0x16a51982, 0x19ebf232, 0x3c565d15,
+    0xe89bb626, 0x964bbe63, 0x74967c9e, 0x3d0a5aac, 0xea511dda, 0x4c95c860, 0x4e306c9d, 0xf3ab8ca3,
+    0x467260d7, 0x64e239b2, 0x8e20cde6, 0x03a2af16, 0xb9e78215, 0x9fc92f98, 0x86ebcbf1, 0xad7d8d87,
+    0xea795f08, 0xdfed1446, 0xe12a6504, 0x188e2593, 0x117ceae8, 0x2219d951, 0xf2b4db64, 0xf75034f6,
+    0xedb94f7a, 0xa111083a, 0x7d2e61cc, 0x58c0ed4c, 0x0fe70a2c, 0x47f6d9a3, 0xffa927b2, 0xfbe1e66e,
+    0x8e5dffac, 0xd2a5cc9e, 0x83ea1bce, 0x3ecd7a4f, 0xca96fdd4, 0x888496be, 0xad89e5ef, 0xa1c8f100,
+    0x3f43e9fd, 0x8e85310f, 0x1ffdc0ac, 0xa504a0b4, 0x7b100a93, 0xdb13da6e, 0xe8689ac7, 0x8f0f3927,
+    0x38ccbbff, 0xfffc8d79, 0x531353a9, 0x8cf22919, 0x8a6be0ab, 0xb8b35cc6, 0x7b59d730, 0x2f8e5993,
+    0x4e994a3c, 0xc798ac21, 0xa5ed6dad, 0x67af2208, 0x7c7002c2, 0x61611927, 0x88c84aab, 0x777ae6f4,
+    0x867fcd70, 0xe04c78bb, 0x60a4038a, 0x3dec0efe, 0x015e7309, 0x30c3427c, 0x046a9533, 0x66d8c53a,
+    0x299af027, 0x51a1629a, 0xab8bea3a, 0x847ca3cf, 0x2d79d17c, 0xb780531f, 0x47c0fd59, 0x190d3123,
+    0x5970b3c5, 0x5d233b88, 0x58d080ba, 0x5fd4c51a, 0x48d693db, 0xa5e73858, 0x424e26c0, 0xfca6f532,
+    0xc100f25f, 0x104b9ca1, 0x4f447f10, 0xf81c5c2d, 0x820cb138, 0x6f47118d, 0xc5310851, 0x418be654,
+    0x81a1a8ae, 0x429b9b5e, 0xb6914952, 0x6a499e34, 0x672437bb, 0x01b7752e, 0x928c6c8a, 0x7211156e,
+    0xfc0aee78, 0xc4c3f743, 0xc12aaf41, 0x7a97dce6, 0x29d662c0, 0x4924308d, 0x88338767, 0x0afa5b90,
+    0x5522dda8, 0x24287002, 0x9fcd6e66, 0x5caa3715, 0x6f1de5cb, 0xb3d68cf0, 0xf36e5c57, 0x9f371d7e,
+    0x7f50ba7b, 0xc32666a1, 0x434b5f73, 0xc2d30ed1, 0xe661385d, 0xb5d1c1e7, 0x6d0bf0c4, 0x1f3f3250,
+    0x5192e555, 0xafd96b89, 0x1e00bf55, 0x875d2643, 0x5b6e4266, 0x54cc04dd, 0xc0b19aa8, 0x356fb370,
+    0x1eca4cd4, 0x4d4d0dc5, 0xeabd5c4f, 0xa77f469c, 0x471914c0, 0x1b783b76, 0x0d4fc92d, 0x7bf22c3c,
+    0x935abbe9, 0x1c42d311, 0x803c7c39, 0x0f8645e8, 0x26f998b6, 0x7cfa1d3b, 0x137fee96, 0xd314414f,
+    0xca7bfbdf, 0xeb5461b1, 0xa5aa7db2, 0x167a2581, 0x5a515917, 0x079fe1d3, 0x4ed312fe, 0x043f795a,
+    0x9fdf51f1, 0xcbaa1299, 0x985586a5, 0xe529ec14, 0xe723ce28, 0x338d51c3, 0x13bbb8f2, 0xd324f01e,
+    0x5f362c7a, 0xd5e12d01, 0x417c83f0, 0xca9392b4, 0x076d9151, 0x3772de86, 0x2a964c94, 0x5d94ee29,
+    0x928278e7, 0x8ab01d22, 0xf5ff2c39, 0x19dd940c, 0x7dc9e373, 0x6b8daba9, 0x3acc4260, 0x7037618a,
+    0xd9449a02, 0x2502a131, 0x6357da1f, 0xf01f6f00, 0xafb234df, 0xfa8f8525, 0x1e44ee74, 0xc69776bd,
+    0x3dd1f15f, 0xa75dadb0, 0x1b697c5c, 0xe2ffe214, 0x8f915e1e, 0xc35e8914, 0x33e7d6e5, 0xd24ecb60,
+    0xec272795, 0x370dd2d1, 0x5b556c16, 0x8f82a281, 0x831d55d8, 0x47e03e17, 0xe898fcaa, 0x69df0b7c,
+    0xefea0e11, 0x1739e180, 0xc8b81137, 0x11dd6dd7, 0x72fa685e, 0x3c2171d5, 0x13bfa10f, 0x5a7da7d7,
+    0xbd98ffc4, 0x2fd04079, 0xbd498f6d, 0x0928c2d9, 0x1a19a686, 0x79e5b15b, 0xa860ccad, 0x29a899d6,
+    0x6a629ce2, 0xd8ac7e48, 0xee77df47, 0x61449b20, 0x2bb4167c, 0x9d0b30e7, 0x6950ef26, 0x8e536c45,
+    0x87913faa, 0xe15947c3, 0x631fb5f1, 0x3bf97f93, 0x8ba9fd4c, 0x8be17453, 0x297e744e, 0x22299aca,
+    0x338eca8c, 0x0b2cab17, 0xd92cf9ec, 0xbd9c7941, 0x2c57a3fa, 0xc39d52d1, 0x30dba8c0, 0x3dcb287a,
+    0x712440a6, 0xeb6cb5c4, 0x7ddafc83, 0x4d3d0686, 0x170a6ee4, 0x4a03789e, 0x432ee1b6, 0x29ffa165,
+    0xff7fe65f, 0xc7226b22, 0x01530271, 0xe1170119, 0x923de06d, 0x958875a6, 0x1aeff702, 0x6c0b7345,
+    0x776ec187, 0x7972a470, 0xb178c374, 0xf4d21261, 0xa9c73cf0, 0xb3f8f698, 0xbfc5046e, 0xd0e98ff8,
+    0x8ea1f1be, 0x5a1799a2, 0xd6444121, 0x3401bac1, 0x88e91d6e, 0x7a8697b5, 0x4dfe9493, 0x7cfbcaba,
+    0x440e9eae, 0x88b46739, 0x291362fe, 0x21f377a8, 0x3d4012e0, 0x957b3ef8, 0xb549d4fc, 0xc01d968a,
+    0xfcd46bd3, 0xf219936c, 0x1ca97118, 0x556c2741, 0x3d0947dd, 0x0d330826, 0x29c1207f, 0xc13f7862,
+    0xf99cfbc9, 0x57e55ef7, 0xdd8acf7d, 0xe782ddb6, 0xf4a94424, 0x118a220a, 0x98aa8214, 0x05ac6035,
+    0x946f0291, 0x61d5aba1, 0x51c485c8, 0x9a9db1c8, 0x49f53c27, 0x928b56f9, 0x919e6b05, 0xac186a29,
+    0xda11f148, 0x748d4dfd, 0x49a3b3d0, 0x9bec531e, 0x6539f336, 0x71bab5ba, 0xb1769bc6, 0xdf901ede,
+    0x1e84fbb4, 0xd21e7062, 0x3b254380, 0xf66668b8, 0xaf00c15f, 0x6b748143, 0xef18a5e9, 0x99a5470d,
+    0xb6f72aa0, 0xfce0339a, 0xbc8599aa, 0xcded77cf, 0x9446c6cc, 0x4f97211a, 0x6f85c79e, 0x1b536d34,
+    0xc8640b57, 0x310119af, 0x1fd6568c, 0x9dbded82, 0xc3cc85a9, 0x6276a814, 0x541b7c23, 0x89a9025a,
+    0xf6ea8bf6, 0xbf3423b7, 0xe7fe5386, 0xf4bcde1f, 0x71cf265d, 0x811893ef, 0x99fee6ab, 0xe71f05c7,
+    0x1e78208f, 0xdb82ab7a, 0xbccd6e93, 0x77567e15, 0xb6f7454e, 0x5e8c6ff0, 0x31057382, 0x17b7531a,
+    0xec36a117, 0x730a3b99, 0x3e78c26d, 0xb9531f16, 0x5b4e5508, 0xcd140d20, 0x613779f8, 0x2dd3242b,
+    0x35d0d171, 0x170a7f4f, 0xce26a4f7, 0x167d6bb4, 0x2e4f8bec, 0xff492b3a, 0x8c5d66c5, 0x9dc3b538,
+    0x0d0f8507, 0xa5d93358, 0x3c06795a, 0xdb82b2b0, 0x7b5981e2, 0x23777ab4, 0x60dbd9f8, 0xa1628270,
+    0xbb81b0a7, 0x332224bb, 0xa1133d1d, 0xefd20e2f, 0x6d43b21f, 0xc6aa5a34, 0xeda00474, 0xb2ce5e34,
+    0xbf31bd04, 0xa4e29a84, 0x62b43983, 0xba26efa9, 0xb6fe50c2, 0xccba198b, 0x920c6fea, 0x2e74ea02,
+    0xf09b72c4, 0x272dbe50, 0x9a62291d, 0xf0c8e04c, 0x0bdc7b6f, 0x6d9c60d7, 0x9f82c9d3, 0xf946a1bf,
+    0xf53b09d4, 0x014116e4, 0x33dedccc, 0x863e4a4b, 0x0da4b37d, 0xef00468c, 0x1a1e1524, 0xe9f4c3d2,
+    0xbe03d7df, 0x997ccfbb, 0xbda68fd5, 0x897b235b, 0x0a43a1b0, 0x086a47e9, 0x1fcb9e35, 0x471708bf,
+    0xf9a8652b, 0x9fff57bd, 0x80f933d6, 0x82ff644f, 0xe0029643, 0x5895530e, 0xa2f35d18, 0x477fc222,
+    0xe954e545, 0x7a50740e, 0xb9d47574, 0x8acbc41b, 0x266c297e, 0x296854e2, 0xdcc3b1ac, 0xd8201637,
+    0xe182cd2a, 0xead1fe74, 0x229679c9, 0x20a83b8f, 0x4bbf13e7, 0xab392eb3, 0x41510029, 0xc25727e6,
+    0x19b385bf, 0x212855fe, 0x5489a839, 0x6738a55d, 0x08579026, 0x95254218, 0x0284775f, 0xb9c8a725,
+    0x6841cf70, 0xbfe0efcf, 0x1c6363ce, 0xf55acd08, 0x72dddc69, 0xf7e34337, 0xde1d9aad, 0x4d1f0132,
+    0xf7943843, 0x349b840a, 0x64256012, 0xfa6fe909, 0xef74572c, 0x53eae7f6, 0x7e1f0595, 0xd5d5e889,
+    0x14311f18, 0xbfc3552f, 0x2acbb0b2, 0x3ef446e5, 0x094b75a5, 0xd5b0e091, 0x90a07c52, 0x44865dbb,
+    0xad7ede4f, 0xddf0c420, 0xa5c60f84, 0xfd1ec19e, 0xa9b52466, 0x471bbdf3, 0x60f2381f, 0xe4ee737c,
+    0x40048835, 0xf82b1720, 0x18d856f2, 0x7bb78a8b, 0x6e52ac29, 0xfdfbf847, 0xd69cc066, 0xe6ad16b6,
+    0x0a2c4751, 0xdb2ee13d, 0xf9990373, 0xfdfaf540, 0x08cfa27e, 0x69e0370b, 0x37072476, 0x313343ad,
+    0xa91d436b, 0x1f94acd1, 0x1b3338ec, 0x93a457a0, 0xf2d8c3ed, 0x226827b0, 0x55dbb467, 0x4d582b5b,
+    0x2e69e29e, 0x4f4648f7, 0x0066e9ce, 0x18a0aefb, 0xd07cf24d, 0x2429da18, 0x03c91897, 0xb92493cd,
+    0x9cd869be, 0xfe7d0185, 0xcbb22dd1, 0xb89e79f4, 0xa75a0bca, 0x3d6db7f1, 0x4dce1359, 0x24b5360b,
+    0xe042e12c, 0x32ef60eb, 0x30c567c0, 0x00be26bc, 0xae9bedcf, 0x59c775b7, 0xf4d404f7, 0x4b0c7fee,
+    0x5ce2fca6, 0x92deb59f, 0x53895f92, 0xe4420c52, 0x747bfe79, 0x3465adb5, 0x96397cb5, 0x3dac78b9,
+    0x988bd97d, 0x5cf4af11, 0x4e38cb15, 0xc06c481f, 0x028b021e, 0xf2017b54, 0xcaf12163, 0xc6788ce2,
+    0x6bca5bfc, 0xc6b14b64, 0xde56174a, 0xc9d758ce, 0x457747a9, 0xefcff808, 0x8134ed6a, 0x92c160d0,
+    0x5f325b2f, 0xd43b12ac, 0x67f71452, 0xf9502ce6, 0xe6de503a, 0x8e52d256, 0x0e8c9b6a, 0x38bd3cab,
+    0x06496e57, 0x9e0d5a01, 0xfa7b4c60, 0x62ed71ed, 0xddafb523, 0x9db70a36, 0x531339e2, 0xb40f0699,
+    0xca0c8ef5, 0xe70dff82, 0xb8c006ee, 0x2c464bff, 0xd78159c3, 0xdb543805, 0x8ac1e7d2, 0xae5e976d,
+    0xe5e2329c, 0xc6f36576, 0xbbcf7b24, 0x0411e77c, 0x0626fa48, 0x3b01186a, 0xffb7cde4, 0x3e1a3c9f,
+    0xe24e11a4, 0x35d2177a, 0x599d3005, 0x9dff5c4e, 0x9ab154e8, 0x0b1257bf, 0x92342bae, 0x44b9a97f,
+    0xf5fe916c, 0xd77aa5d4, 0x24521c09, 0x13e91842, 0xd3c50dea, 0xdfa1e90a, 0xdd0bce73, 0x8862035f,
+    0x0d04bf40, 0xb9a43e57, 0x19d90a05, 0x303dd2da, 0x8eede0db, 0xb6739ea9, 0xd0c507bf, 0x08049766,
+    0x9c6f1946, 0x261efe34, 0x532833bb, 0x4f0e30aa, 0x1615619c, 0x20ed68fe, 0x35702adc, 0xb53b4668,
+    0x6c024ee9, 0x8d3fb6a1, 0x06b53db9, 0x44d072ac, 0xc6c81025, 0xf3a3ab37, 0x2e856eb4, 0x94ccbdc3,
+    0xea65dda9, 0x3382ffab, 0xa4b1168e, 0x04c36f50, 0x48724e2b, 0x3b38ba3a, 0x1505688e, 0xb9135d53,
+    0x1f207d57, 0xfd886e1c, 0x7228fb83, 0x3214f946, 0x9e0781c1, 0xece602e3, 0xf59ba6be, 0xd83a79f7,
+    0xbf216b51, 0x0b042b79, 0xc496418b, 0xadafcec0, 0xb037340e, 0xdeb1c024, 0x511b0ff7, 0x4faaed14,
+    0x86b05822, 0x639f4440, 0x12aefb52, 0xc2a18b5d, 0x637d51e6, 0x1a4a6870, 0x8ca28dfd, 0x5a9d8e41,
+    0x4cbe62b6, 0x04dc28fe, 0xed5e0e99, 0xb226dea3, 0xe4357483, 0xdc60cb07, 0x2874bc23, 0xbf839082,
+    0xee21c125, 0x28e5d4a4, 0x526404de, 0xfb074bf0, 0x543ab822, 0x76656aa1, 0xb245babe, 0x1c66588d,
+    0xbbaff410, 0x75f3066b, 0x4dcb16ad, 0xc5d0ca63, 0xdc1d1554, 0xcef4e3a9, 0x190ba5c2, 0x2b68c378,
+    0x3554017b, 0x39168a3b, 0xa8f69588, 0xbdcac89d, 0x6332ab97, 0x2815898f, 0xf4ca9f9e, 0xfd676c5f,
+    0x9ea65b7d, 0xffb4e95c, 0xae26178a, 0x508b3ded, 0xd8f2ca5b, 0x75393e75, 0x2b2c5064, 0x044033ee,
+    0xff6159de, 0x7859edeb, 0x58db03bb, 0xa387f039, 0xa2727d0f, 0xd9efaf04, 0xcb3daa93, 0xd03502e9,
+    0xee7b6177, 0x6615917a, 0xe9c717f6, 0xb861fc95, 0xf4a4c91e, 0x4973c0d1, 0xbc01470a, 0xa10b6bf6,
+    0x0b91064b, 0x124dcb0a, 0xf03d4a0f, 0x547d5051, 0x96e13323, 0x30ce2c9f, 0x4666ab1b, 0xd449ed59,
+    0x01887fc5, 0x12b09485, 0x14713b33, 0xb28ac025, 0xe1828a2d, 0x10e4b4ad, 0xc91ad43e, 0x22baae01,
+    0x6cf9c523, 0x0f50f291, 0xe70b48aa, 0x29d1d6c4, 0xd0521159, 0x5ae6742b, 0x53f9b589, 0x3e4f95a9,
+    0x2161c269, 0x184d8f93, 0x3ddfbde9, 0xeb7b855b, 0x8c43ab78, 0xd03bb1d6, 0x31e73e78, 0xb4e9ed7c,
+    0xc6262148, 0x4a7b751d, 0x817c3aa3, 0x50f0bd8d, 0xaee7120c, 0x81a77eb8, 0x81cb7cde, 0x2e608342,
+    0x692084b7, 0xf1971780, 0x667fb413, 0xad78b737, 0x10067b06, 0x4f334309, 0x254c91ee, 0xb811b5e2,
+    0xcc9af0a7, 0xcb757018, 0x695758da, 0x415a9df6, 0x54b6df0c, 0xcc706b7a, 0x690b50c1, 0xc17591e9,
+    0xf91241e3, 0x46625b21, 0xa7dbe6ec, 0x422c4444, 0x53b4128b, 0x766a0c2b, 0x92fbe2e9, 0xdebac4a5,
+    0xf322708c, 0xcdf20c06, 0x2df90f0a, 0xc4d8dea4, 0x09ae4b5e, 0xd561f984, 0x2d2280be, 0xa8caa9c0,
+    0x0dcd5942, 0x93a84179, 0xe4916525, 0x8a03161f, 0x250638ed, 0xa17afb2b, 0x9fdfeca9, 0x0c9deb0f,
+    0xd69d7a65, 0xfb61bd56, 0xf089c499, 0x2f5cf5b4, 0x5221a3f7, 0x0a09c465, 0x8b2e1f33, 0xcb03112c,
+    0xf3ba7c34, 0xf7bd5d2b, 0x3d9978bb, 0xa44aac92, 0x72819ee2, 0x7caea20d, 0x1435d258, 0x534f9c9a,
+    0x432f6e93, 0x3ba071c9, 0x7b8597b9, 0x8bc01922, 0xe37d46be, 0x7663b33a, 0x0460fa32, 0x797fbe1d,
+    0xda870af9, 0xcc0c1752, 0x1f9e705a, 0x69b196cd, 0xb6e22150, 0xf2a90a73, 0xcb3f1793, 0x56f030cc,
+    0xa5464e4c, 0x07f071da, 0x971103a9, 0x82e0deb7, 0x9cce6549, 0x37655ce0, 0x821ba58f, 0x6eab76a8,
+    0x6c16d63a, 0xb07595eb, 0xf1c681dc, 0x8ba1a995, 0x0e703397, 0x6c73fe3f, 0xc9612a2f, 0xf1252505,
+    0x23594797, 0x9e687bf2, 0xf3524f0e, 0xac013eda, 0xd6101388, 0xc1c30f1a, 0x2ee66b3b, 0xbdef01f0,
+    0xcb8c6810, 0x851a299a, 0xe9d313f6, 0x1ac7900e, 0x37993ed3, 0xc26550a6, 0xa877f72f, 0x75ac1716,
+    0x32c4bf24, 0x5619492c, 0x52391591, 0xf3140041, 0x22fc011a, 0x13a1cf18, 0x4ab90b5c, 0x22867a1b,
+    0xdc9fb1c0, 0xc444c1d0, 0x7ce653d8, 0x84e3bd14, 0xad0b1cf3, 0x81dcf36b, 0xe8c6de11, 0x5768e8c1,
+    0x8b4a1c75, 0xa7eced83, 0x0dcb8ccf, 0xbbb65642, 0x3a1f18a3, 0xa4ffc53d, 0xb66b4b69, 0x219ad2ea,
+    0xbbbd291b, 0x45a8d05b, 0xa580ee04, 0xb5946d7e, 0xf08b74dd, 0xe8c43d7f, 0x26b76f8e, 0x8c86710d,
+    0x94fc25b0, 0x11c7d690, 0xbd2c5525, 0x448ad781, 0x5c5cc8fc, 0xe023f9b9, 0x27957d03, 0x01b3fc98,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000001467839114233645767430925372993\
+                          33564210980159306769991919205685720763064069663027716481187399048043939495936 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016,
+    0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fef, 0xa30f4c5f, 0x335e042c, 0x455c18b8, 0x3b682a92,
+    0x00000000,
+    0xba2c71a2, 0xf6c29bd4, 0xee3fa4dd, 0x72514827, 0x5333b025, 0xa2fea1d9, 0x8452c3ff, 0x73cd6dbb,
+    0x36662a52, 0x2a731c59, 0xfc5e8283, 0x38d2b0da, 0x7014a282, 0x368d77f5, 0x32c4c8c0, 0x84388142,
+    0x647dd6ce, 0x7e6cca29, 0x9acb0139, 0x31c3da47, 0x903ece7c, 0xcc0dd4da, 0x8e59c3cd, 0x6901758b,
+    0xcf939a00, 0xdeffddef, 0x207fb6d4, 0xf2326800, 0xfb5808ed, 0x60e84b54, 0x54887fb4, 0xc99c8bd9,
+    0x9f6b5fa7, 0xc0de3da9, 0xe1537e50, 0x2783194e, 0xb9377643, 0x3c62e597, 0x84c61a19, 0x430d8810,
+    0x12825116, 0x08260576, 0x9c3c40ec, 0x5afac2a9, 0xc1585a46, 0xd28e42e3, 0xe85eebb8, 0x059b1f91,
+    0x928430f7, 0x54a87bd7, 0xfff67666, 0x85436a2c, 0xe3eee2c1, 0xcff25b3e, 0x24ea03e0, 0x7615d3c8,
+    0x43382b63, 0x72a7ca20, 0x0dc868bd, 0x4c61f8d1, 0x2f5a378c, 0x5ac653b5, 0x9422ce9a, 0xfee7783a,
+    0xea87dcb9, 0x038b1067, 0xb3aee2cf, 0x3b621acf, 0x27ea2beb, 0x743950b3, 0x3217ddf2, 0x56a33193,
+    0x0de4773c, 0x7f9777b6, 0x164509aa, 0xf0f4668d, 0x2faa5339, 0xd19f36f3, 0xa3eea2ca, 0x46085f69,
+    0x59add0f6, 0x17842273, 0x4ed234c5, 0xf9282a2a, 0xf02d43de, 0xfd66bf9b, 0x42540c6e, 0xc12b7835,
+    0x5ac64555, 0x49cd5136, 0x009347a9, 0xb47f9a4a, 0xb59c0d86, 0x4e3bf7ee, 0x4478f9aa, 0xced888e9,
+    0xe38b55da, 0x77961180, 0x61d26a3c, 0x27f54225, 0x5cf43eb7, 0x0439d037, 0x42049b2c, 0x5da093b6,
+    0x57304fc1, 0x9ca1f9bb, 0xb6b77f77, 0x535c1aa7, 0x5d8cace9, 0x06595a50, 0x9f56b485, 0xfbc78d15,
+    0xcdcfca9c, 0x6c8da5ae, 0x25df2d00, 0x31d9ca66, 0xb8a75e56, 0x37a370a0, 0x8f61edb7, 0xc542004e,
+    0x5c562050, 0x7036fcb0, 0xafd8f11b, 0xa2351dc2, 0xf6abb6b0, 0xf167c6ed, 0x557631c9, 0x20e45444,
+    0xacb6a914, 0x2025b999, 0xc0eb64c3, 0xca4eefa0, 0x3d90da2d, 0x34846111, 0x5f94db49, 0xb8172896,
+    0x90c0ee1b, 0xe1714fd7, 0x0ee5649f, 0x4dc70682, 0x08625a7b, 0x164eabbe, 0x89ff3671, 0xdf7b9cc7,
+    0x4bb6d7f9, 0x30171d86, 0x62dea6cb, 0x1fae081e, 0x69d05127, 0xf1a7b206, 0x007266eb, 0x215d7421,
+    0x651b4990, 0x56206504, 0x1be05c54, 0xc2302d4a, 0x34a26985, 0x33bc3c33, 0x65abcdc6, 0xe1950399,
+    0xb50688fe, 0x8ffcb055, 0x79973f36, 0x364717f4, 0x9a029ecf, 0x049e112b, 0xbfddd43a, 0xb0b52cb7,
+    0x84d131b1, 0x6ca68423, 0x8b2acab7, 0xe426bce9, 0x7140b47f, 0x05ccb47e, 0x20d0be40, 0x67baa6ab,
+    0xcb31847a, 0xa54cf183, 0x43295ef2, 0xf278f20f, 0x09449dd7, 0x4f0709ef, 0xfded0d26, 0x60fe8c70,
+    0x85f8469f, 0xb48610b1, 0xe0738f12, 0x8ad9e742, 0x435e3329, 0x1d1f6dd4, 0x3361de4d, 0x9476eb7e,
+    0xb46e09f5, 0x021f288c, 0x56167ab2, 0xd2e9d52c, 0x15af5cc1, 0xa0660931, 0x355f49ad, 0x4d6fb276,
+    0xd02b7164, 0xa410dee5, 0x9d2fdf48, 0x9db8409e, 0xe4c07517, 0xe80c15dd, 0x741052db, 0x3c097a70,
+    0x16d94738, 0x3063f2f2, 0xd181a837, 0x98fd22ea, 0x67307235, 0xdfb48707, 0xd0bc2c02, 0x31299f65,
+    0x6d1e1375, 0x92c76f12, 0x122e034c, 0x10a83447, 0xa6ef47bf, 0xcd71656d, 0xad586bde, 0xc01e2afa,
+    0xd9d4783e, 0x017d4132, 0x627b1cd3, 0xfadbb143, 0x429dfe12, 0x4e0fe833, 0xb7f60124, 0x4e9a7cb8,
+    0x131358d7, 0x5f806bb5, 0x79437d13, 0x1cf7d28b, 0x8a6ccc9d, 0x436a3bab, 0xce0200d9, 0x25f5e03c,
+    0x9286e491, 0xff8504a6, 0x0b701fa6, 0x9ec9f2e5, 0xe77022ae, 0xb703f33d, 0xe2aff20d, 0x7b0e36f6,
+    0xf5f67e16, 0x67804c8f, 0xff2d9f61, 0xa70a24bb, 0x8e86f171, 0xb38663e5, 0xfc690c13, 0x2eb2c9a2,
+    0x3ad6c205, 0x8d264b96, 0x60b89674, 0x453b5f4b, 0xf9843966, 0xde95359d, 0xe28f16bb, 0xb7cb20ec,
+    0x69c5bfb2, 0x7b8861c5, 0x49d18354, 0x65277a5c, 0xaa071d73, 0x22bb3d0c, 0x66e8f574, 0x23aa3112,
+    0x0ec65ab1, 0xfd2586b7, 0x3f391013, 0xaffe4b99, 0xdb45e788, 0xda439502, 0x5eeb3a8b, 0x10745405,
+    0x6ebad22e, 0x59082e72, 0x82e454e3, 0xe1387ded, 0xbe56b69b, 0x317d6dc8, 0x834721ff, 0x11d94217,
+    0x95982d69, 0xa92594de, 0x0fa3a09a, 0x00f6d4f3, 0x371cc251, 0x36209ad1, 0xcd54bc58, 0xb54f6433,
+    0x82ec6281, 0xbe281bd3, 0x9f34b3b6, 0x33071f54, 0x8b5ed7f3, 0x3f4776d9, 0x0f97723e, 0x6ff3d4fc,
+    0x4b58580a, 0xb06510f3, 0xed8684c3, 0xf09e1b06, 0xed2b0fdb, 0x33d37056, 0x1bfdd14e, 0xe883f835,
+    0x29b399d0, 0x79a978d7, 0x01ebc4bb, 0xab8ea5f7, 0x325f326e, 0xb31d5a53, 0xb9f2233c, 0xe1f6df7a,
+    0xf94836c6, 0x17b8ca9f, 0xaf0d576d, 0x180ee2bb, 0x42669a8e, 0x2c3532ed, 0x926d2673, 0x7aaddf0a,
+    0x1e870641, 0x0f74e783, 0x6bb76749, 0x761067b2, 0xd43b33d5, 0xec6d1015, 0x85b53b6a, 0xfc71f678,
+    0xe9132581, 0x3e1eee59, 0xc32916a7, 0x8d3e4411, 0x3bb1cd24, 0x24244e45, 0x45830d9b, 0x5d7c6f1a,
+    0xf6918aa3, 0xb942670c, 0x1179b3ab, 0xd25583b2, 0x0696a362, 0x28c5cb8d, 0x49ef72bd, 0xdca0a102,
+    0xb916843b, 0xb8878a8f, 0xcb32d3c8, 0x21e52491, 0xbf27f7ea, 0xeb4190b5, 0xac847b09, 0xf2dcf47a,
+    0x14dcbaa3, 0x1809f57c, 0x444faa49, 0x78a8f2f0, 0x81e5eb2c, 0xf68d6d6b, 0x2aec0f43, 0x4d08c41c,
+    0xb14866a6, 0x61410121, 0x460e968e, 0x2f861d1c, 0x24febf82, 0x7d9d389a, 0xb1115a6d, 0x5aef3ccd,
+    0x057ef8d5, 0xb34af44c, 0x3bad1194, 0xb2ca8369, 0xfaec641a, 0xcf0e20f5, 0x160d655a, 0xd7b6a2f6,
+    0xd9df7fb4, 0x4436366f, 0xb34fbe34, 0xfd8daf90, 0xd94cc43a, 0x0b0eb02a, 0xb2a4fd5a, 0xc2a1ff06,
+    0x29cc4c4d, 0xfaf5bcab, 0x89209f8c, 0x39cc3607, 0xc7dd7952, 0xd48f2299, 0xd90358c6, 0x996de63e,
+    0xfd2a2582, 0x4e81ad74, 0x3ec2bb33, 0x0b30cdfa, 0xacfca630, 0x6a09136c, 0x9155f690, 0xa91310bf,
+    0xa088ef84, 0x30112438, 0x2a3f7901, 0x44d0f5e3, 0x5edbd540, 0x12ae74a8, 0x8d7f53b8, 0x2f165d8b,
+    0xa36acb23, 0x13e882f3, 0x27ec59e9, 0x80f16f09, 0x90f221e0, 0xbb727da0, 0x7d6ffd4f, 0x0abfe11f,
+    0x73435d4d, 0xd26e3f6c, 0xe5f6c0aa, 0x2670b71c, 0x951aa9b8, 0x43bc23c5, 0xa9a9323a, 0x76e6edea,
+    0x6c936646, 0x4cf04eb2, 0x39d03a5a, 0x8b3971f9, 0x08d5d457, 0x3d686766, 0xd6425f73, 0x74f20d4c,
+    0xf84505a1, 0xdb474f68, 0x245c4591, 0x74b00a46, 0x0e40a9de, 0xa49439cd, 0x28808ad1, 0x09332f5b,
+    0x8d09edc2, 0x309d1841, 0x1d1cd353, 0xc2c0520b, 0x607c27fa, 0xae9b73c9, 0xcb933ca4, 0xc04060b5,
+    0x72e005d3, 0x3c423e69, 0x6b2c2dd8, 0xc3eb1383, 0xeb558704, 0xa6ab6aca, 0x2ce61274, 0xd589b2fd,
+    0xb8a93477, 0x1b0e6f96, 0x899a6711, 0xd7f3b863, 0x21366aeb, 0xf4f4d750, 0x347482f8, 0xb103b1f1,
+    0x33f2d474, 0xc4942bcd, 0xf65ca5a0, 0xacee4982, 0x6bfcedbe, 0x7d39d987, 0x7b432552, 0x9f81159d,
+    0xa2f1b454, 0xa3179a4d, 0x82c3863a, 0x4e5014b6, 0x7bcd7502, 0x53b71eb3, 0xfda85f3f, 0x0439683a,
+    0x095009b5, 0x9b0b7fe3, 0x1baea1eb, 0x27554d61, 0x60cebf3a, 0x3d88a5ad, 0x8c136fd7, 0xe129d2ef,
+    0x532e2a5a, 0xc616e2c7, 0x5c22c1df, 0x3b020ac1, 0x5e03f11c, 0x13633e11, 0xdc42286a, 0x61a5d922,
+    0x5bd41512, 0x524ee13c, 0x7dac5cb3, 0xf6c097a4, 0x736f0523, 0xb16e204a, 0x2425de4c, 0x7b77a041,
+    0xe438a80f, 0x2002f238, 0x50814ac6, 0x880fe6ab, 0xbace3f31, 0x576be756, 0xb0c1b616, 0x74dd910b,
+    0x34aad053, 0x9fd08845, 0xa2df1c48, 0xae8f4714, 0x732e01bf, 0xee0ab2ac, 0x52548488, 0xfe436636,
+    0x1ce6719c, 0x7dd89f3c, 0xad6096b1, 0xe849a713, 0xe97d0936, 0x3bb0ce6f, 0xf8cd81a0, 0x0377b92f,
+    0x735080ec, 0x2cd44bef, 0x010867d4, 0x06d5b040, 0x8c4b6b81, 0x566debd6, 0xf30f4ae1, 0xf84cb0f5,
+    0x2e738f0d, 0x54858d4b, 0xb18ddfcd, 0x51e7d04f, 0x36f7f1b0, 0xdede3106, 0xbce6cbd6, 0x5200484a,
+    0x224660d3, 0x5ba9e85a, 0xb66d67d0, 0xd3461e16, 0x17460351, 0x571c1798, 0xda127f92, 0x306eeb59,
+    0x8d7521f4, 0xa3c6e424, 0xbed61025, 0x573c8c82, 0xe52e9b6a, 0x002b84d2, 0x6ccc4aa0, 0x236a0106,
+    0xae6ee7e8, 0x96f3be05, 0x204456b2, 0xdeb3dedc, 0xfcbbd1d3, 0xc24f36d6, 0xe69802d1, 0x135f513e,
+    0x1b3ae919, 0x72d6818d, 0x62664b77, 0x24c5e482, 0xedc131a2, 0x05eaaa64, 0x2b4fd409, 0x8486f953,
+    0x41897fc1, 0x9d32e643, 0x5d20ac7a, 0xc4566726, 0xaa609101, 0xb139f686, 0x64d99e96, 0x2f77fd92,
+    0x3f5ab6bd, 0xdb986d13, 0x30482841, 0x2f097e9e, 0xd9e367c9, 0xbd9855ec, 0x9f838956, 0x3aae2116,
+    0x50c5648f, 0x9c8015a3, 0xc3e8fad7, 0xebc0f0e8, 0x347c8d38, 0x7ec19e73, 0x79977db3, 0x0905be89,
+    0xad1d90e9, 0x4216b6c4, 0xccbd779c, 0x103ddd43, 0x85a3a139, 0x3c2a2a97, 0xcae10df4, 0x1f798700,
+    0xbe6a8856, 0x540f7214, 0x4b01ceee, 0x3777f48e, 0xce2429b4, 0x4d789d68, 0x5c0511c0, 0x85efc9fc,
+    0xf3891753, 0xbefcec63, 0xbae05b55, 0x90106b63, 0x645b5a2d, 0x03050153, 0xd7aba8c0, 0xa2bcf212,
+    0xd095a19b, 0xd4924e81, 0xe3d56891, 0x77cc3f60, 0x0967536a, 0x868389ef, 0x4974f7ba, 0x421f4d76,
+    0xb5ff9961, 0xf3a7f53e, 0x85a7fb41, 0x6e7a977a, 0x14b30889, 0x3c64451f, 0xc7e3c73b, 0x889468a0,
+    0x1b9f2867, 0x51b6d7a9, 0x6e092cad, 0xadf9480f, 0x818a9c66, 0x97ffa8bc, 0x2d9f674e, 0xb9155ed4,
+    0x615a9b43, 0x3b71e52f, 0xce39f628, 0xd7498a23, 0xac46a2be, 0x21530caa, 0xc44e5ff8, 0x2f95d67b,
+    0x9ac10db1, 0x7001b0fe, 0x17307828, 0xc7e64ea2, 0xff25d037, 0xb41f93f5, 0x42a3c180, 0x39434d09,
+    0xc78667cd, 0xd8e99a44, 0x66ff7285, 0x354f17fb, 0xd0095aaf, 0x81d83345, 0x5b8a2995, 0x4f9c3125,
+    0xde397ccd, 0xa93597d2, 0x3b2ea9db, 0xf42ce339, 0x59498863, 0xd5109059, 0x22a443a3, 0xfe215bc5,
+    0xf517b474, 0x11e8342a, 0x2698fd6b, 0x73840e78, 0x9e35ff97, 0x8194c870, 0x693f30e9, 0x34fb10c5,
+    0x6b9e7fdd, 0x6f7c11da, 0x5bb57564, 0x30e1a24a, 0x08f963ad, 0xa0ad79fc, 0x3386ba9d, 0x568aa5a8,
+    0x1302dd42, 0x56880eab, 0x54f1cac0, 0x546914a7, 0x416dc410, 0xd5cd2b1b, 0x112c74b8, 0x3ef2380d,
+    0x9eb51353, 0x1fb9aec8, 0x685aadfd, 0x6ffe6434, 0x4ecd5aab, 0x3b0d29ff, 0x43f6737d, 0x368ccfe7,
+    0x9722451f, 0x0641b8e0, 0x58d90cff, 0xf4a7e0c1, 0xf0a2ee63, 0x160bf03a, 0xd151f7a7, 0xd4dd1d02,
+    0x28bfacce, 0xc8590516, 0xc78a4ed3, 0xe3117d16, 0xc59687ea, 0x21694338, 0x6028daf9, 0x77f6b623,
+    0x0489f189, 0xc0693c20, 0x70f8498d, 0xcc14f406, 0x33b35370, 0x74ee0f9d, 0xdf9ce678, 0x0591ae67,
+    0x2039fc8a, 0x6c1f235d, 0x2c4830e5, 0x48319f79, 0x2c7fbcd8, 0xb85d5af6, 0x12d257d7, 0xed5f848c,
+    0xa4f7860f, 0xe367831f, 0x5b29966f, 0x3433d65c, 0xf887be56, 0x71d26557, 0x29c032f7, 0xa30ff9b1,
+    0x2866816f, 0x55adaadb, 0x13676bba, 0x7cf1c792, 0x67927817, 0x46e677a0, 0x54c8c304, 0x90b6dbe6,
+    0xc2b6b0cc, 0x15ea568f, 0x52e50e8d, 0x98d0face, 0xb27b8105, 0x6efbc102, 0x21adac0c, 0x95b06ca2,
+    0xc10f365b, 0x751d8feb, 0x390509f4, 0xb5f8297d, 0x9b504078, 0x6558260d, 0xfb237031, 0x5c5401db,
+    0xdc8f3373, 0xadf707eb, 0xe381629e, 0x7c2ff992, 0xf0ea1bdf, 0xa962176d, 0x6b553568, 0x5e2438f5,
+    0xfade3a64, 0xd4682f28, 0x7998f05c, 0x9cdd4375, 0xf921e69e, 0x5e4625c5, 0x62d4c57f, 0x752c9ef8,
+    0xafe07fa6, 0x1698229c, 0xb376d7a2, 0x856c7312, 0x099821ca, 0xd4feeba9, 0x9ac0c90d, 0x78f3e2f6,
+    0x009e7015, 0x8df5344e, 0xb6dff0cb, 0xf7994d97, 0xe852b0da, 0x95c25e5a, 0xf0526650, 0x920566ce,
+    0xbe4eadce, 0xefa5d890, 0xd6c1dbbb, 0xc22acd8f, 0x5e154529, 0x3fb29082, 0x362aa4fb, 0xb449b48f,
+    0xc4a825ac, 0x9a4d4f42, 0x01439c02, 0x5d9a8e60, 0x18b687a9, 0x3c389b74, 0x61603605, 0xf7bfa12d,
+    0xc8056b72, 0x58e31d4a, 0xb271a332, 0xf3c3fb86, 0x08848b33, 0x01867b8e, 0x76e56438, 0x45384be7,
+    0xb68bbd8f, 0xb96a99fd, 0x38499cd0, 0xc2d4766c, 0x60abdfc5, 0x14522436, 0x0dec599b, 0x8153702d,
+    0x4f81fa80, 0xcebff9f3, 0x359e2b6b, 0xedc37e5d, 0x2d0baaed, 0x168f4aa5, 0x1c589591, 0x8e83a898,
+    0x625a3a90, 0x6c5bc11f, 0x45a17990, 0x18df26ab, 0x1c25901b, 0xc5aef25e, 0xa08adcb4, 0x082bcb44,
+    0x205da236, 0xe1de6be3, 0xd32f78e1, 0xbb3a06aa, 0x4b3734ad, 0xa214bc7f, 0xd161c7f8, 0x5d403959,
+    0x706072e8, 0xbc037ed9, 0x196f2af0, 0x758dc7c0, 0x458f6d77, 0x947c801a, 0x2bc55537, 0x71e046b2,
+    0x564d8f76, 0xc6325f06, 0xfbea512a, 0x01ae9b4c, 0xdbf7dc37, 0x17388775, 0x8df40224, 0x2b8408e7,
+    0xec360f33, 0x42689c75, 0x8713b7ef, 0x47feb64a, 0xf6c0172f, 0xd277b86d, 0xc7b5dd14, 0x57fe4ef8,
+    0x1f7e36e0, 0x10aa07e7, 0x94b4e73a, 0x26433873, 0x4ded0422, 0x63528be9, 0x4b8534eb, 0xf2b14408,
+    0xabdf6aba, 0xa5c8473a, 0xba010172, 0x6969f039, 0xba53b35f, 0xcbc2914a, 0x68134c1c, 0x3c6091d5,
+    0x7ae80d62, 0xe58289e6, 0xe1f5c64c, 0xae1d0590, 0x35fafdc3, 0x5a7fa8a3, 0x56f4d887, 0xc0e2dfd1,
+    0xd0888657, 0x9060d874, 0x5e0683a5, 0x3ab47e23, 0x4e69c4e6, 0xc35ba52e, 0x4a24d8b8, 0x32edb2cd,
+    0x55d651f3, 0x7d428329, 0xd6a50c9e, 0x1eb7176f, 0x02b83a67, 0xe311af89, 0xd56a52b3, 0xd3b15612,
+    0x3cd20e15, 0x68a14e6d, 0xe19752ef, 0xbf3b9aff, 0x2ca69538, 0x4bbc2361, 0x5674a0b4, 0x47f4e50f,
+    0xaa1f6f7e, 0xe8fb496e, 0x8ff08dca, 0x91233811, 0x28d10119, 0x1c547a07, 0xd2e577c6, 0x429dbbaa,
+    0x275ba25e, 0xfbe4ce6d, 0xcf87c796, 0xc2638c53, 0x769906ac, 0x36e07c85, 0xd2b3b062, 0xb07af165,
+    0xc249fb93, 0xfbe75c6b, 0x9e687f0f, 0x7c27edd2, 0xba7c115d, 0x1396f622, 0x4c2213e2, 0x15140cf9,
+    0x5bd39cb8, 0xaae15580, 0xbeb57774, 0x340b1247, 0xc5398bb3, 0x2ccc6bb9, 0x64e50962, 0x656918a4,
+    0xd6b27035, 0x1b42d828, 0x3913ff72, 0x42e3fcbe, 0xd3b775fd, 0xece57d4d, 0xf50b5387, 0x96a2ca59,
+    0x2cb50b68, 0x4d7245df, 0xf5d9a3f0, 0x1c335b4d, 0x3461ff21, 0x331e4d73, 0x8116b561, 0xb9ac928d,
+    0x1d58afb8, 0x041401da, 0x589470cb, 0xc1e71c05, 0x4b1110cc, 0xa46463b6, 0xe248e293, 0x071b3b6e,
+    0x69213b8d, 0xecb87a84, 0x7157ff2b, 0xbb002bec, 0x850d3834, 0x5283664f, 0x5ce1f733, 0x4a618f0a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000733919557116822883715462686496\
+                          66782105490079653384995959602842860381532034831513858240593699524021969747968 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b,
+    0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f7, 0xd187a62f, 0x99af0216, 0x22ae0c5c, 0x1db41548,
+    0x00000000,
+    0xda500e71, 0xde66b9ec, 0xdb95286b, 0x2cfc6a80, 0x1aafc8a6, 0x468b8bed, 0x64b6b856, 0x6a7cce23,
+    0x47460bf9, 0xb72f135d, 0xb69e861d, 0x477883ad, 0x6de03838, 0x5db1dccd, 0xb9d26813, 0x83f75b55,
+    0xee471042, 0xe0d84500, 0xa9bc7a72, 0xf05761a8, 0xbef9c086, 0x16b6d919, 0x5a136907, 0xe81f7ce3,
+    0x462c7e45, 0xb2f324fe, 0xfbf52086, 0x0f8d032f, 0xc21e8ee3, 0xf613e368, 0xb7e1d26e, 0x350604b3,
+    0x595865ec, 0xb5feb09a, 0x5ac3c437, 0x946d91f6, 0xe770c2fb, 0xf88a2d30, 0x419a63d0, 0x2244063c,
+    0x138dd12d, 0x2f78eb26, 0x4cd1c3ad, 0x25a7072e, 0xc7d85dbe, 0xc69c2859, 0x46d94751, 0xa818ab66,
+    0xd191d208, 0xbbefbcf1, 0xb8a36506, 0xdb17ea48, 0x8e9675ff, 0x13fe5a10, 0x0c8fd503, 0xb22a2948,
+    0x9aa55a1f, 0x42d3fd40, 0x571b3549, 0x26464068, 0x7c5996a7, 0x7897dbab, 0x7bc30e97, 0x690090a5,
+    0xc3f8ebbe, 0x21751eb0, 0xb5167144, 0xbc342aa0, 0xb7116288, 0x429c81e6, 0x4d80af5a, 0x9bcd2cc8,
+    0x9f832dc6, 0xe3808f11, 0xa8f23f32, 0xb3fcbc4f, 0x073a1126, 0x8fa24a7d, 0xab8f5f1b, 0x55331843,
+    0xe678d435, 0xc352d476, 0xf5309bc5, 0x5434416a, 0x9ad8a790, 0x7d249084, 0x064c12d6, 0x24f0574b,
+    0x858a9b13, 0xe9ffcbc9, 0xd1f09c60, 0xdd1dc55f, 0xc9e5e499, 0x575a2659, 0x51d7f32a, 0xac88041d,
+    0xd32e4ea5, 0xf5d6aedd, 0x9d66979e, 0xd5c8f1d1, 0x902c30f3, 0xcfff7abd, 0xbb826630, 0x27a706be,
+    0xf0d13e88, 0x595e559b, 0x18d962c7, 0x8649fc55, 0xb2c48945, 0xba1752c2, 0x0e811704, 0xcb03ed4f,
+    0xcb4ab4b8, 0x48040b45, 0xadb9c409, 0xc27be556, 0x751fe231, 0x77f2eca4, 0x83692d36, 0xa1fbbdf6,
+    0xda67a8fa, 0x38445376, 0x17929aac, 0x0a6658ff, 0xd88fa3a1, 0x10cfb6c1, 0x9a5f2811, 0xc3ae8b69,
+    0xb8d6ef45, 0xdd5b41de, 0xd29cc1f5, 0x73293cf5, 0xadea4a6d, 0x8318b899, 0xf2b7c2c1, 0x664b9327,
+    0x504d4f28, 0x64b2a196, 0xc21de174, 0xb5f94d8b, 0x35006b56, 0x7396e13e, 0xee434514, 0xae755c2b,
+    0xb05cc694, 0xda806912, 0x36e4508d, 0xe329c618, 0xcde133da, 0x0d15450b, 0x5328ef08, 0x4978a438,
+    0xab6cce56, 0x0e76a042, 0x7c493c61, 0xc1de9707, 0xa1e16a0f, 0xdb0dc93b, 0x7c254f31, 0xe145aa96,
+    0x766d6791, 0xdd841e5b, 0x135a5805, 0x6a5ee474, 0x9f19b1f3, 0xf127a46c, 0x50084950, 0xbb5f3bd0,
+    0x7db6e687, 0x09d0eba0, 0xd41a842b, 0x5523264c, 0x005e7995, 0x99305532, 0xab23ce8b, 0x92d89224,
+    0x544c7a99, 0x4dde5400, 0xc203f7b0, 0xc8df1d23, 0x913c0ab6, 0x738ee117, 0x7a133e67, 0x4770631f,
+    0xcc484a67, 0x0e1e282e, 0x5e31c2a8, 0xab31c8d5, 0x3098e7cc, 0x53df40dd, 0xf1e4dd0d, 0x582dcf40,
+    0x0000082f, 0xa8d36d72, 0xd28e0d14, 0x2c19198c, 0xd37c6500, 0xe390ad3c, 0x52c2912a, 0x8e48b339,
+    0x4436e154, 0xfa983341, 0x17b79397, 0x6201a108, 0x94ed672d, 0x20989e70, 0xfe64945a, 0xd13b53f2,
+    0x0ba21103, 0x234df6b9, 0x076a7173, 0x4a7f1ac4, 0xad1b85ca, 0xfef9be1a, 0xb6d205a6, 0x6b6d7b33,
+    0xb830fc18, 0xe1935d9f, 0x99214caa, 0x2cb12304, 0x4cea1f22, 0xc3c28c17, 0x858a3bb9, 0x42335134,
+    0x769744e4, 0xed0a0244, 0x05f36762, 0xe7948db5, 0xaa76cd80, 0x7e170a8d, 0x8c1baec6, 0xbe70515d,
+    0x52423a60, 0x9c05f65a, 0xa6a52df3, 0x73f8b945, 0x3f9a546e, 0x28832e03, 0xc40a1bde, 0x23780a0c,
+    0x26c7c894, 0xcc457bdd, 0xe56f719f, 0x68282fd5, 0xfe720252, 0x512defc7, 0xf4ee5614, 0xd4a33ce4,
+    0x81974ee9, 0xc4f70280, 0x15fe9986, 0xb63688e0, 0xc2f6aa93, 0x07e072b8, 0xa9e27762, 0x447747f4,
+    0x267fc440, 0x460f0946, 0xb13420a7, 0xad20ca3a, 0x2f1567fd, 0xd3cbcbf5, 0x2e31d5ce, 0xba05a065,
+    0x114ee16b, 0x665ad058, 0x86cb09ff, 0xdbd4e0ca, 0xf04d348d, 0xa4c7ae48, 0x9ed9730e, 0x0f86cb23,
+    0xd75bcffc, 0xab9f6a6e, 0x2cb679b2, 0xfdbf2265, 0x8d46b684, 0x8b177874, 0x2bddd3a2, 0x738649fc,
+    0x975c88bf, 0x876b553e, 0xf62c4078, 0x1e68378c, 0x792b0b9b, 0xf26321ea, 0x18c4d153, 0xbd09ac1e,
+    0x7378c905, 0x5c5ba7d7, 0x3f9eebd7, 0x96234642, 0x574996b7, 0x720c3c0b, 0xdd43cf9d, 0xf7955956,
+    0x29e30c19, 0xf877275a, 0x0e9832be, 0x2ad29fb5, 0x13e71df1, 0xc98389b1, 0xda73e8fe, 0x7a9241d0,
+    0xfad7d615, 0x62db7bbe, 0x7b2e0ff6, 0x8a28d83e, 0x44f8d4c9, 0x119f6ddb, 0x5923df0b, 0xa8dc12b9,
+    0x6edf7dff, 0x2d10de5c, 0x5d2c14d8, 0x87533ab9, 0x59b50312, 0x7d4a0e78, 0x6206b2a5, 0xfb23a7ee,
+    0xf463613e, 0x38e7ddcb, 0x36cc47f7, 0x13e7fbd3, 0x07d87017, 0x72fb4a7b, 0xa280bc42, 0xe461ce1a,
+    0x59a5db08, 0xb910a7e7, 0xe6e5be3f, 0xad253713, 0x38694ca1, 0x1c4f7e6f, 0xa087b6d8, 0xb3e68bd6,
+    0x61cee270, 0x064382bc, 0x55e8b176, 0x3015b6fb, 0x1bb22b5f, 0x067cd6af, 0x96f805e6, 0xfd34f1b5,
+    0x1ba5bd52, 0xf540d0a8, 0x0f0e6088, 0xbfbb58b1, 0x5ee5c5b8, 0x3fe107f2, 0x24996612, 0xa3685201,
+    0xb3b2fc4a, 0x8856a7b8, 0xb6b812d7, 0x9e4fd69e, 0xf98dde9e, 0x99cfaae4, 0xec8a7cd3, 0xe95a27a4,
+    0xecd8a820, 0x18ac12ff, 0xd77ef1d0, 0xd44f0ecf, 0xcdb2c449, 0x9b565254, 0x7d251b84, 0x156cb68c,
+    0xbe2246c7, 0x5143a423, 0xec0c6bfe, 0xfe08e8fc, 0xee51d057, 0x26d50300, 0x114b469b, 0x42ed3146,
+    0xb37b0ee6, 0xa7db0244, 0xf9ab35d4, 0x83d7e2b2, 0x6b9e600f, 0xcc5ae606, 0x8403a30e, 0xdba75a43,
+    0x868755a5, 0x3ebba8f4, 0xa9ecc0be, 0x0550693b, 0x9397851d, 0xe3e6f450, 0x579058cb, 0x23a5cc78,
+    0xbcca3604, 0x6c219cf5, 0x5f1ae0f7, 0x32762dc4, 0xc7b575df, 0x98326493, 0x0c46e8b9, 0x21ad83b5,
+    0x0754b1ec, 0x762d2091, 0x0438a8c2, 0xd01271d9, 0x7c3e0227, 0x8374f0a7, 0x3acc046d, 0xb4b6b38a,
+    0xdf273663, 0xc1bf6c2b, 0xc75b301e, 0x19dd8276, 0xcecf2d83, 0x6e1d7bd2, 0x540f6a28, 0xe75c14a0,
+    0x828ce394, 0x45970a99, 0x705acdca, 0xda2684f4, 0x5eebfd87, 0x97e5a95f, 0x09632d65, 0x9225d779,
+    0x7c770d99, 0x2d646951, 0xc8a370e6, 0xc5e9cde6, 0xde77b47e, 0xfff268c0, 0xc8cf51cb, 0xefd9c666,
+    0xf7bff099, 0xdf298ee8, 0xc9432223, 0x813409d5, 0x3a1fe457, 0xef4d01c0, 0xecb4940c, 0x3b30193b,
+    0xe179417c, 0x4a3cb319, 0xe0f1467d, 0x37de35fc, 0xe84079c0, 0x28beb1b8, 0xc06ffc1e, 0x7a235459,
+    0x99737948, 0x5f6768e8, 0xf13983f0, 0x0e4ea73d, 0xef4028a1, 0x5979dd6b, 0x04476136, 0xc3ebca8e,
+    0xef3ce634, 0xb19b1bac, 0x1fc45f54, 0xc470017c, 0x9493b72e, 0x98706e0e, 0x2f9620a1, 0x95561b60,
+    0x0f6656cf, 0x3e63c24f, 0xb1ae8ada, 0x82de7a0f, 0x52bffb39, 0x473b289e, 0xe59b12c0, 0x47926177,
+    0xb784c11e, 0x9f6e54ae, 0x3481b25a, 0xa4ff92dd, 0xa3122fd9, 0x0a73ad56, 0x4a62f59a, 0xa383a807,
+    0x0168a266, 0xb394e01c, 0x7546360c, 0xee31ef61, 0x4aa2934b, 0xac6b0885, 0x427c7fc7, 0x97429967,
+    0x1ae6aab6, 0x0df5774d, 0x4221570b, 0x1b2f2208, 0x044f99a3, 0x0d28f4a9, 0x785677f4, 0xc715d793,
+    0xbafcea10, 0x5b0e0260, 0x424d9db0, 0x03a6ce92, 0x1e05fd1c, 0xd4e1c474, 0x5d20f303, 0xd9035293,
+    0xc10d0075, 0xa1595e07, 0xe93cc70d, 0x04d838e5, 0xccb62d37, 0x4267c3b3, 0xc4dfcf7c, 0x794efd8c,
+    0x71c9ae6d, 0x79390f17, 0xc6a1fca3, 0x84824385, 0x06433569, 0x55ac3689, 0xc7594b42, 0xb02d33cd,
+    0xee135eae, 0x7c998960, 0x0915ec90, 0xbd0136eb, 0xfe22c36e, 0x5c44beeb, 0x3db80706, 0x9c9f4e5f,
+    0xb7ffa6a3, 0x5c953ba5, 0xda4ab506, 0xc98117cf, 0x647d1f72, 0x41070701, 0x4c9cfe3d, 0xbf75c3ae,
+    0x6f4b67cc, 0x783e1f30, 0x49e3aa88, 0x7a1d3bc4, 0x6290e904, 0x187624ed, 0xd1c821c6, 0x4d98ff14,
+    0x23c76269, 0x2a42b987, 0xdbfa670a, 0xc4929940, 0x68779ede, 0x978affcb, 0x510666de, 0x296081e4,
+    0xecec143c, 0xcd35c781, 0x41db64b4, 0xc85897fd, 0x60d209c4, 0xf256701a, 0x888a2e97, 0x912e7e63,
+    0x1e642c47, 0x58b12092, 0xa0a5ade5, 0xe15907c8, 0x96479f93, 0x8bf2f412, 0x6f24d20e, 0x9a59d332,
+    0xb5f92b86, 0x5cbb74ce, 0x1011ea9a, 0x030a50b0, 0x2e13e687, 0x78433686, 0x256c8f1f, 0x8a29a057,
+    0x6ba8eee4, 0xd5e1d65d, 0xfcfa0392, 0xc3c20e5c, 0xa24d533a, 0x71127120, 0xcccf1c94, 0x50866a4b,
+    0x3ace290e, 0x85f28dfd, 0x301a37ea, 0x755e1a20, 0x61675a7c, 0xb5c1775b, 0xed53bfdc, 0x51861129,
+    0x56721f05, 0x71274d00, 0x578e9e68, 0xe9eca394, 0x9c566dc3, 0x8ccaf53c, 0x57da00ed, 0x4d0ffe87,
+    0xc88cd696, 0x2de353bc, 0xeccd7b8e, 0xec80e476, 0x076d4e97, 0xd56011ea, 0x58f50744, 0xde8ded5b,
+    0xe8ed0830, 0xd793a1aa, 0x72db6f3e, 0x7441eaea, 0xc0b13a63, 0xe10a266e, 0x6796af7b, 0x7d0de6e0,
+    0x8ccc94d8, 0xafaa6e11, 0x329bc783, 0xa9b28c04, 0x36c166d4, 0x7a9b76f1, 0xe9e7b454, 0x2d9bc688,
+    0x83a5c8b5, 0x394f0540, 0x004818bb, 0x53d358a5, 0x5246f543, 0xd996a34c, 0x14ff2e8d, 0x40e5fe64,
+    0xd93f2454, 0xd9c15f55, 0xd67bc0be, 0x81fceb5d, 0x8eca126f, 0x02507997, 0xcffc79ab, 0xbb43be0d,
+    0xce7af187, 0x1a95fa5d, 0x63b255ef, 0xaf424629, 0xff811f22, 0xafd8514a, 0x1dfc3498, 0xf51f2313,
+    0x859cae34, 0xc4a1baf6, 0x4e5e21d5, 0x81e688a4, 0xc35699d0, 0x05272404, 0x358f956d, 0x2970f2db,
+    0x5584e443, 0xffa31cca, 0xc480fae0, 0xdd0f384c, 0x99c7a12f, 0x2d188f9f, 0xcc7ae821, 0xda40180c,
+    0x4ba91684, 0xdb9b93ea, 0xfa5c92cf, 0x284cadc6, 0xd100d261, 0x46811710, 0x0ef14edb, 0x61729886,
+    0x8a2d204d, 0xa7ace826, 0x5ad7a56f, 0x4000f43d, 0x229b345c, 0x4652bfbd, 0xb4603acc, 0xb16771d5,
+    0xcb4ddf83, 0x51088ddf, 0x8038fb01, 0xef1afe9d, 0x55a18a8f, 0x3e3aafc7, 0x71b4dd00, 0x0253b707,
+    0x5b4e35ba, 0xcaad05c5, 0x2db99d7a, 0x33fd4f99, 0xee71d254, 0x4ab69020, 0x9159ec28, 0xc4d3e688,
+    0x5607ab19, 0xb99fa8e0, 0xd0c63281, 0x068e74bf, 0xbfa96979, 0x536c8740, 0xc6efc58a, 0x30b15544,
+    0xaf264535, 0x92e23bd3, 0x98555c12, 0x3bf6671c, 0xfe0ab9ba, 0x788d3421, 0xdb16df58, 0xa4d15196,
+    0x25b861da, 0x9dbf7074, 0x6fbe65b6, 0x85873a00, 0x6a4f4db3, 0x83473655, 0x6e2fc962, 0x98739059,
+    0x9c168631, 0x0c1d8a42, 0x7d1d6883, 0x369665e9, 0x53705872, 0x4bfd2934, 0xca99377d, 0x3ad8fa20,
+    0xded17ae6, 0x351713df, 0x352ce001, 0x8c504916, 0x0e1bce47, 0x728bbe23, 0x45931523, 0x06ecee53,
+    0x00a10b5b, 0x2c0b49ef, 0xba47e466, 0xbb7cec36, 0x51f2a2f3, 0xff3dd41b, 0x4029dd6c, 0xa1352b43,
+    0x0a3da238, 0x3f74e1ca, 0xd96dde4c, 0x80a0e9f9, 0xc4c4135a, 0x907bac2b, 0xdf9e5787, 0x3e10b9a1,
+    0xcec090a5, 0xbbf067fe, 0x593c839b, 0x7d9148af, 0x313cd7e4, 0x54a8f5e6, 0xea5c630f, 0x27c04e81,
+    0x3d98a358, 0x29a1f9ee, 0x5a68cada, 0x1a0ed1cd, 0x28c8b359, 0x32920507, 0xc54fc5e8, 0x66b3f301,
+    0xbfe26774, 0xd21a4d0a, 0xdac429c1, 0x9d5d4a0c, 0xba4ff80d, 0xcc23ea7e, 0x3797425a, 0x72ea7d4c,
+    0x843f80ad, 0xd4577179, 0x0ecdbfcb, 0x5fb25c4a, 0x0888bd6f, 0x1b1a44e0, 0xa807be40, 0x0fa027f1,
+    0xbacf3893, 0xba095c6d, 0x7535ffe4, 0xd3e77da6, 0x3a624ce0, 0x3596ed5c, 0xcef3f44d, 0x3b27da54,
+    0x62d2faba, 0xa0274a1a, 0xa3376c92, 0x6ac57922, 0xc3b8e462, 0x5c2c6760, 0x2ad2cffd, 0x89389aef,
+    0xba310f54, 0x7500aa6b, 0x52a63580, 0xafa93330, 0xfa4c8534, 0x109d71db, 0x79ff5a38, 0x75c090a0,
+    0xd16a5b36, 0x2b2d260d, 0x48d3d33d, 0xbdf6e3b7, 0xb0b104a3, 0xb1a258ae, 0x34c37b5f, 0x0a6a331b,
+    0x2fa0d361, 0x612f2a61, 0xb26e2294, 0xb0853d5e, 0x82c104eb, 0x3d993100, 0x49d01d82, 0xabfb5bf6,
+    0x7d11e286, 0xd84c65a0, 0xfda8d710, 0xf209b9e2, 0xc773f851, 0x035ec63e, 0xf2c59b5c, 0xb44487fa,
+    0x0d5c6802, 0xf8ba0f1e, 0xef7837fc, 0x2d364685, 0xdf8094cf, 0x28e280f9, 0x3b8c032e, 0x1f418696,
+    0x7477c0b0, 0x46674e7e, 0x98681e2e, 0x211c2fc7, 0x1b1fafaa, 0x00b8269e, 0xadd0115c, 0xffb43458,
+    0x53dfd941, 0x9ab1a1fd, 0x5eb47171, 0xea2c9686, 0x28a3f152, 0x47ffda44, 0x0f4ad401, 0x2a4a7417,
+    0x6005c6d5, 0x5852fc0d, 0xecc1c596, 0x2a8cfa19, 0x18c485af, 0x371d7e7b, 0xb296a989, 0xd21ddc72,
+    0x655b85ca, 0xedb7c358, 0x0bcb4912, 0xe304de08, 0xbe49b8ad, 0xcb750287, 0xb22d5776, 0x0798f897,
+    0x657f55f5, 0xfcd65bff, 0xb9e507a2, 0x9f8a21dc, 0x59090860, 0xa1a94d7e, 0x6f46732e, 0x70f063f4,
+    0xe2a67794, 0x18731134, 0x9c7bc430, 0xc11d5c9a, 0x4f0dbb7e, 0xa42ca970, 0xa64e48a7, 0x2b11e553,
+    0x1e29acce, 0x073e1f1f, 0x64842263, 0x6a295fb7, 0xd1f0d65e, 0xe65b6536, 0x296413c9, 0xf86d08bf,
+    0xc897fba0, 0x687f783d, 0x565a3fb8, 0x01d18384, 0x03bcf956, 0x8bd45c2b, 0xd10551fc, 0x7c0d18d0,
+    0x33ad61bd, 0x72c07f9f, 0xb3d60dd0, 0x165363af, 0x4caf53e5, 0xd39069da, 0x3be559d4, 0xb8c3f807,
+    0x7da6ec07, 0x39bb2c78, 0x551031b8, 0xc4c75c49, 0xa430e171, 0x1b225e4c, 0x3231e0b6, 0x32bcccaa,
+    0xeb965422, 0x31479e2a, 0x4fd4b816, 0x3113093f, 0x93b92e5d, 0x4aef17a7, 0x07965e1a, 0x61ab74d9,
+    0x04481c01, 0xe0087d02, 0xc9ad76f5, 0x888c4ee0, 0x28cf62c6, 0x77e9a373, 0x81f3d172, 0x60d80507,
+    0x6c6183a9, 0x60b3272a, 0xe2be14e8, 0xb43bacc3, 0x524c3dc3, 0x6f22b41b, 0x32b6757b, 0xfb82929d,
+    0xa3dd1c00, 0x792efc33, 0xd9b5a5db, 0x66df2c10, 0xada7a3a4, 0x4ceb7081, 0xf490180d, 0x855bb383,
+    0xd6479ae6, 0x9d915301, 0x2726a368, 0xf8aaff41, 0xede0fe29, 0xa74583af, 0x3e619c6e, 0x1ea90f76,
+    0xf49b40c0, 0xdfb65e7d, 0x75d30649, 0xdef49361, 0x44fec739, 0xc265c8e1, 0x48d7f986, 0x1b886fa5,
+    0x5b9fc39d, 0x0bb03a25, 0x97b2aa9b, 0xf320c0b4, 0x2d1b83ff, 0x2f676762, 0x1c8af480, 0x9a1ee4a8,
+    0x7b63eb5f, 0x40c21b31, 0xe2cce717, 0x2e653635, 0x36f8d3c2, 0xe31b0614, 0x1a23a51a, 0xcaf94aa2,
+    0xac710d71, 0xd376bd7f, 0xcdbea94c, 0xa999b630, 0xf423269d, 0xc1283db1, 0x3c9d7505, 0x5be9f664,
+    0xc39881e9, 0xc0ba9fc8, 0x0a275b59, 0xfe8758cb, 0xd39db68b, 0xf22e9d4d, 0xa40c1adb, 0xebb9809c,
+    0x74d8b641, 0x5cbf98da, 0xfae44b3d, 0x5bf11566, 0xb3a1fb33, 0xa3caa632, 0x2eee718d, 0xb18b2550,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000366959778558411441857731343248\
+                          33391052745039826692497979801421430190766017415756929120296849762010984873984 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805,
+    0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfb, 0xe8c3d317, 0xccd7810b, 0x1157062e, 0x0eda0aa3,
+    0x00000000,
+    0xec681398, 0xeaa939a1, 0x4f231448, 0x655ac975, 0xcd6e9c96, 0xe0c35434, 0xfe237f4f, 0x4720d36f,
+    0x08210abb, 0xc40e0202, 0x0b4c3218, 0xc158ed22, 0xb8ee3429, 0x58025c20, 0x6bf841d5, 0xb6678616,
+    0xd889a8d9, 0x99ede2f9, 0x4e00eb79, 0xa685b6ff, 0x6e60be8a, 0xfe744965, 0x26c3959c, 0xf2d9f3c8,
+    0x851be653, 0xff704419, 0xe7c6ae4c, 0x486112d1, 0x03b00a9a, 0x6104121e, 0x3830378d, 0xa09b09e1,
+    0xa1a907af, 0xe1612444, 0x94c3dde9, 0xa957d2fa, 0x1b2f4dfe, 0x1c79a84b, 0x5996fa88, 0xef670eb9,
+    0xe5b72d6a, 0x54ae5a32, 0x5e4cdcfd, 0x665264ba, 0x6c30255e, 0x69825036, 0x0687fae2, 0xac351032,
+    0xd9376ba4, 0x1619fa3d, 0xb7a997e7, 0x3082592d, 0x7c0a1eff, 0x3a76a325, 0x7960fd06, 0x2632a9aa,
+    0x00be2320, 0xe8e3db42, 0xce3fa91f, 0xdbecd81a, 0x7c95b4e8, 0x2e7a8d11, 0xd4bfa4b6, 0x646e1bd9,
+    0xe3e845d2, 0xefad8381, 0xd7c6754f, 0xc6a88710, 0xb8ceeef0, 0x11b9f3d8, 0xe7cd77d4, 0xf272f36f,
+    0x86f17116, 0x058f79bd, 0x4e00140b, 0xc4e967f2, 0xbf251e0a, 0xe9044791, 0x0646dff6, 0x5c52a027,
+    0x680b4d21, 0x170f3473, 0xed3d6a18, 0x2c820652, 0x41aa0e92, 0x10aa25f5, 0x2332ae0d, 0x3b239ee8,
+    0xd83eb08b, 0x10c7d32c, 0x2c950386, 0x4618bf13, 0x465e1b60, 0xf12c8dde, 0x769968ec, 0xd7642d12,
+    0x279e7fb5, 0x18f10b5b, 0xf59d65dd, 0x2f57c79a, 0xc309ba8a, 0x64735f9b, 0x198cd203, 0x9488b4de,
+    0x71e3da50, 0xef33c965, 0x95d5b951, 0x5c444854, 0xaa744872, 0x07854c7d, 0x1c0c8820, 0xd1cf7247,
+    0x499ea9eb, 0xfc9eba87, 0xcf4ee764, 0x34e2f56c, 0xa37febe9, 0xd9968cd4, 0xdce506e6, 0x8ac31bd8,
+    0xabb86c6f, 0x47f383d4, 0x312b7cf7, 0xd250ba7a, 0x8ebf500d, 0x3c91d7aa, 0xbe333f5e, 0xde189bb8,
+    0xb8e93c9e, 0x7bd8bf64, 0x7445aef3, 0xd8567d26, 0xe37b7697, 0x6d3f75f2, 0x316c33d5, 0x98212210,
+    0xa039e05d, 0x231867f5, 0x7ab63a6a, 0xd3126c06, 0x9302cded, 0x1d91115c, 0x21b65381, 0x74cfb9f4,
+    0x0517219e, 0x74774afd, 0xcb7e40cc, 0x5993dc32, 0x11d39bec, 0x194a641a, 0x038d9ff5, 0xe4cfff8f,
+    0xff91fb5f, 0x534cb061, 0x2c066bb0, 0xd244660a, 0x98b468ab, 0x5ee4f0a4, 0x52b15acb, 0x43450834,
+    0x60bd1fac, 0xf0fe1168, 0x84c2a216, 0xffa88ccc, 0x41b3517a, 0xc608d61c, 0x0e37cccf, 0x0c591c77,
+    0x99664afd, 0x4085d722, 0x19ffd670, 0xce81c8d1, 0x8888643a, 0x022aedb6, 0x151adf0d, 0xc2fd460c,
+    0x2796079f, 0x7d6ac7d2, 0xf8096664, 0xb32dc390, 0x4e8cf7b4, 0x897ea7d3, 0x8f1c91b0, 0x84af5322,
+    0x86993bc7, 0x399d5549, 0x78a2d316, 0xf733dcf0, 0x517b7e23, 0xaae470f1, 0xfb195f54, 0x3f2d3cf7,
+    0xcc6a1bba, 0x1ba7a591, 0x9bc10a2e, 0xd1145fd5, 0x53c77e92, 0x378d00ee, 0x54dc8f74, 0xe5e73aad,
+    0xe3a7b550, 0x449babcf, 0xc6391aeb, 0x7e4c3358, 0x2f6b0d31, 0xb56804bc, 0xfa0641a8, 0x6ff963ea,
+    0x44db909d, 0x76659bf4, 0x1b34111e, 0x4269bd7a, 0x4e3a58b1, 0x3d6d286b, 0x12838a44, 0x2dbb644d,
+    0xb79144b9, 0x74a8311b, 0x8d014b96, 0x88fd1bc3, 0x4a6ab9de, 0xb2966121, 0x2a44856f, 0x5031f0a1,
+    0xa0ffcfc7, 0xa565d60f, 0x56dcc7a5, 0x9bc420f5, 0x919ce1fe, 0x5304917b, 0xfca464fd, 0x9264ff7d,
+    0xd0fa033a, 0x3c03bd31, 0xbd70f1f5, 0x0da953b2, 0x2edc2d38, 0x1ebae2ce, 0x42eab6fa, 0xecd90932,
+    0xadccb63f, 0x957e68c7, 0x5fbf176a, 0xa8aea414, 0x9ee08d54, 0x04b9d041, 0x43b25f10, 0x9055051e,
+    0x3e53f1e9, 0xb6f9a542, 0x97dc6099, 0x796cc8b5, 0xbaee9052, 0x7e0c0fc1, 0x8095f91b, 0x403217ec,
+    0x153e79b3, 0xe58119fc, 0x29dda32f, 0xe1b8d22a, 0xe09ebdcb, 0xfdfef6f2, 0x92e4b0f4, 0x2ddcf60b,
+    0xf2812124, 0x5332fee5, 0x8101c100, 0x1135e1cb, 0xacc17ebc, 0x8bc4e70a, 0xef04509c, 0x82995606,
+    0xd38d91cb, 0x5693fd5e, 0x080131da, 0x57a649e9, 0xb83fc474, 0x9a1bdcac, 0x44dde255, 0x1784b175,
+    0x91dc80d2, 0x020c4830, 0xeb377beb, 0xb78aad5b, 0x0779fe89, 0x1e44cb12, 0xb6caf98c, 0x2855b0f3,
+    0xb3ea0c60, 0x1db2aee1, 0x3c57a1cc, 0xd67495fe, 0x0a91be42, 0x308d98c7, 0x2df2ae7b, 0xb387829f,
+    0xd17f822e, 0xb8ad8118, 0xfe03ef18, 0xe543f269, 0x92008ba8, 0x757fce08, 0xd6ae6afc, 0x6c8bb908,
+    0x5874e1c8, 0xc7a259f2, 0xce57f94d, 0x50dd2e6c, 0xdc448197, 0x9ca77d9d, 0x1be7f115, 0x4b1a3c4a,
+    0x8bf7d4c3, 0xb49060ba, 0x7aeb983c, 0x795a3d0b, 0x0a1088d3, 0x170e17a2, 0x4f00529a, 0xf72787c0,
+    0x8f875657, 0x37af6414, 0xc5a03c6a, 0x94369c84, 0x2c5ac8bd, 0x5aec9a22, 0xed97e16f, 0x0696153f,
+    0xef588ec9, 0xe66a61ee, 0x2cf843f1, 0xf4c001c1, 0x584a4881, 0x3e9344b1, 0x5be3a035, 0x700cac13,
+    0x7e378b29, 0xea946f8a, 0x7845db88, 0xbc25796b, 0x59b234a9, 0xf8ac5efe, 0x56cb20be, 0x94c571d8,
+    0xb7ec4bd7, 0xf2b9cd71, 0xb234313e, 0x5466ca8a, 0x47ce4815, 0x968e4114, 0x6b0d8475, 0xd0189756,
+    0xa54fedd9, 0xd5f80545, 0x5e91c263, 0x76ec62a4, 0x4ef5c895, 0x4aa1e88d, 0xe36ce63f, 0x56b48f9f,
+    0xd2dde0c6, 0x7a231b6b, 0x7ae50edc, 0xd820a138, 0x6a27e163, 0x62ac794c, 0x0562bb97, 0xce550f85,
+    0x7bfc81ce, 0x197256ed, 0x59a9df89, 0xf6ec1db7, 0x049d2e52, 0xa38bce9a, 0xdb84ff8b, 0x482a794c,
+    0x454d538f, 0xcd8d8ea6, 0x0642c9a5, 0xde71b62f, 0x92c856b2, 0x3ab45964, 0x903853d1, 0x78109c37,
+    0xb327c2dc, 0xa247db66, 0x92c24b4b, 0x078bcace, 0x32b9a7d3, 0x461985aa, 0xdcea8e12, 0x0ab8a6ff,
+    0xd5ee259c, 0x3b9b0067, 0xcb5ddd08, 0x42fbe942, 0x9e47b013, 0x7cb67bfe, 0xe0136d7c, 0xb11c9d20,
+    0x61bf671f, 0xa28cf723, 0x89cf7f3c, 0x2c9cce46, 0x8578dac5, 0xbd077341, 0x9c9f1e46, 0x8141e396,
+    0xa98bdab8, 0x3b4935b5, 0x80daabbf, 0xda2ab291, 0x37df7390, 0xb2a9c4b3, 0x0440c032, 0x6491ac0c,
+    0x0d129544, 0x7873c266, 0xe83f557b, 0x52249fde, 0x076c8879, 0xb439ff9d, 0xab237f8b, 0xdf6903d1,
+    0xf5d76450, 0x31ff4255, 0x04ff9f74, 0x91f33171, 0x4a2d99eb, 0x0f86ff42, 0xd8cf9ddd, 0xc5537b2c,
+    0x9a0fc64b, 0x31ed8eea, 0x9360aa4e, 0x88e85a5f, 0xfd52ef81, 0x27e36beb, 0x29904a27, 0xcee35b5c,
+    0xaa6e5904, 0x8ed5f380, 0x459d41d5, 0x1179f903, 0x08675bd0, 0x15765403, 0x8c0ae77c, 0xa4a6c1f6,
+    0xebbd13de, 0xb0411be4, 0x72fe3f2f, 0x6fb34517, 0x49a8e0a5, 0x5e7ab93e, 0xf26a019a, 0xbb46b319,
+    0x5a1f50ee, 0x661c1b18, 0x9c28a2f1, 0xe51e92cc, 0xc7464993, 0xccf330f4, 0x5f8eec14, 0xb90c5af7,
+    0x067c4209, 0x167b2ee7, 0x64b2b61a, 0x415bcd1b, 0x318b7cc4, 0xd512a9db, 0x49ffc9db, 0x10d3c696,
+    0x9f489965, 0xcf9ca20b, 0x61053c41, 0x0bba2461, 0x73a42e13, 0x4be0b8ff, 0xae0eb209, 0xcbf9ebc2,
+    0x831a37fd, 0x8eec3b5b, 0xb0c833cf, 0xd7549d0a, 0x873a6136, 0x5f133093, 0xe4abb4bb, 0xc827f845,
+    0x467ce4ab, 0x108bb55f, 0x764992e2, 0xe42e1647, 0xed9aa7a9, 0x793a810a, 0xfc64dd0a, 0x59af2bac,
+    0xa2682ff7, 0x6f2d2075, 0xb6e2636d, 0xab4a1782, 0x38b90d8a, 0x582e87a7, 0x4a68f514, 0x020b2d0a,
+    0x7230cd04, 0x0389eecb, 0xf01a7675, 0xbac5d65e, 0x5f0025dc, 0x89b1067a, 0x2a3ee928, 0xd3a48855,
+    0x9d972407, 0x8b2b547f, 0x1857f2b9, 0x7ee75f69, 0xbf6e35aa, 0x2010dc9b, 0x2fc4f717, 0x528bbbc0,
+    0x4d35f656, 0xb3dfc41c, 0x12bb633b, 0x521495ec, 0x06d14b00, 0xc448ba4d, 0x4ffbb534, 0x28e11ddd,
+    0xd12ffc0f, 0x127e4b09, 0xba68b8f7, 0xa24032e4, 0x809708d9, 0x908adad4, 0x989fb3c3, 0xe10663c8,
+    0x5ba274db, 0xed9a29a9, 0xc734db71, 0x13898309, 0xefb32abc, 0xcc0aabba, 0xf7e2a407, 0x3fd5c904,
+    0xddb7353c, 0xaf5af24c, 0x1cf1c71a, 0x7a6c2c56, 0xd7d29786, 0x0d22c4cb, 0x33ef10dd, 0x473d054b,
+    0xabcd5039, 0x85342865, 0x27bc1236, 0x2e14d69b, 0x70f471fc, 0x99b11ae1, 0x143481c7, 0x2ad4e77e,
+    0xb35f3bd8, 0x30684c8e, 0x1f1aed01, 0x949306d2, 0x8dcfa2cb, 0x3aef4ba7, 0xe89e6479, 0x2f4654bb,
+    0x0404b47a, 0xcbbbf2a9, 0xd574036f, 0x49ec4ad3, 0xe0237f91, 0x10d21285, 0xf4db8a80, 0xa414cde8,
+    0xdd1b3c70, 0xb7be61ae, 0xa6cb5230, 0x8563f6ae, 0xf7b88c0f, 0xd98f86aa, 0x01f55171, 0xcdaabef6,
+    0x12988658, 0x10f9c70b, 0x448d737d, 0x173ce804, 0x56b46e5f, 0xfaecfdbc, 0x256c4803, 0xfca5503c,
+    0x4410a940, 0x7956e306, 0x944992d5, 0x72908d44, 0xfa2c3bc9, 0x6818b958, 0x0a33e4d5, 0x84b77501,
+    0x2956c698, 0x6fb0b125, 0x8e008f45, 0x105f4c27, 0x4c3051b4, 0x28b96e0b, 0x35ad3bb8, 0x36443cbb,
+    0xfc02c0f0, 0x5c5f7ef0, 0xd30723d2, 0x12efcefc, 0xe7fdd0ad, 0x507052d3, 0x8a656dfe, 0xa3953e56,
+    0xf0c011a8, 0xe9a61e13, 0x9f219c82, 0x6eee6e31, 0xa01adc74, 0x2d6c8aaa, 0x8b53ed64, 0xf974641e,
+    0x36bb3309, 0x3bcf6c3b, 0x4f7a967b, 0xf52f9126, 0xe14528af, 0x481cccbf, 0x04bf110a, 0x6ec436ff,
+    0x2e758a54, 0x154fa856, 0x322d08e8, 0x94d77df8, 0xa1ea8d06, 0x431d6eea, 0x04ef84d4, 0x3025d035,
+    0x390ac686, 0x5d4d1772, 0x99c08d6c, 0x6756cba8, 0x0a831f83, 0x53dc412c, 0x290074c8, 0x2c7d36da,
+    0x81c48cb5, 0xec31cce2, 0xf7394d7b, 0x06070cd5, 0xa5d88d98, 0x383c3e4d, 0x7f51527d, 0xcc3a9124,
+    0x4ac6bb5b, 0xdee50329, 0x1d2c845e, 0xcb3b0097, 0x23432b64, 0xdfeabfb5, 0x260890db, 0x4488aeba,
+    0xd8d59b6d, 0xd7776a9d, 0x2dc9f717, 0xca165e1e, 0xd7a12ea6, 0xe6f66d12, 0x89274016, 0xe68642fb,
+    0xa349408c, 0xafc9d513, 0x2cf65adf, 0x80375aca, 0x84c7f66c, 0x7b40ad47, 0x9b1dc36c, 0x4b937536,
+    0xe4041a6a, 0x37e09ba2, 0xf25db3b2, 0x8f85fd31, 0xf7e84e07, 0xef5785b3, 0x75e4b4f2, 0x55bc856a,
+    0xe24b7a8c, 0x4fc2c9d1, 0x1449364b, 0xb1c86be9, 0xe82da3d3, 0xb6e01a17, 0x41c3bbf7, 0xe1cd4924,
+    0xcd86c268, 0x0b51b652, 0xe5487993, 0x690d101b, 0x68bcccbb, 0xbe57c153, 0x36da3d5b, 0x8d45a185,
+    0x82fba59c, 0x7efe3919, 0xeba2f4c4, 0xcc5bcf2f, 0x6ecd2ce3, 0x965e8179, 0x5f81192f, 0xf7d1faa1,
+    0xf88b6e03, 0x6e146c2c, 0xec39682e, 0xc01d962e, 0x4a81dcda, 0xe9bae924, 0xd12677b7, 0x7556c330,
+    0x89a5845f, 0x7896d641, 0x64798235, 0xbceed8e3, 0x0d4369e0, 0x8a66231d, 0x6770eaee, 0x507a8e98,
+    0x722d360a, 0x0c3934fb, 0xf39f0824, 0x67cb95af, 0xf6b54507, 0xf712211a, 0x25865def, 0x8cb835ed,
+    0xd62322e9, 0x4e1641e9, 0x39db1b38, 0xd18c021e, 0xf22f4168, 0x1cdb8285, 0x2e618f12, 0x24d9f8c7,
+    0x47f4b91d, 0x386b21c8, 0xd1b4cd41, 0x36b3dbb9, 0x7f8a212d, 0x85d714b7, 0x52f3eaf3, 0xa83921a5,
+    0x15636fda, 0xc3f0c4bb, 0x82ae6231, 0x448e20fb, 0x84fea85a, 0xaf31c0de, 0x105adf04, 0x94bcb879,
+    0x933d8787, 0x0384cfff, 0xad0ec879, 0xaf418cf3, 0x82f5e63f, 0x03dc1a98, 0x606b2e8d, 0xa0fcfa82,
+    0x1631f221, 0x6f171daa, 0xb4b922e9, 0x51845fd5, 0x3109b721, 0x7658c71a, 0x000b22aa, 0xa95708e3,
+    0xb8e1b162, 0x4bdcdbc9, 0x04ed6591, 0x7caf9dbc, 0xdf1003d5, 0xdf7c6bc6, 0x548c4cf4, 0xa91c108e,
+    0x3da477b5, 0x227ce58b, 0x170565f0, 0xe56fc2cf, 0x2c97e49b, 0x638bf67c, 0x00c474c3, 0x8810629c,
+    0x57f16820, 0x1535b1ac, 0xcec1174d, 0xd34144bf, 0x2219035e, 0xa8fbb8df, 0xa8817654, 0x22bd7134,
+    0xe10625e6, 0xa1a86824, 0x24ebaaf8, 0xd1321439, 0x2715079a, 0x936c96f2, 0xce7c7304, 0xd9f2d1b7,
+    0xd5001144, 0xf7ea8195, 0xc284359d, 0x04e7b582, 0x114a740a, 0x0480a081, 0x86940cd0, 0x310bbc97,
+    0xb12a1912, 0x01487d9b, 0xf059b45a, 0xf7147e87, 0x20795005, 0x9c0ee9d5, 0xa4d7ea50, 0x742af63a,
+    0x056925e7, 0x51904aa2, 0x52c4085d, 0xffb90aba, 0xcbad4b83, 0x0b044807, 0x25c0e404, 0xbeadabb4,
+    0x4bcce74b, 0x57923300, 0x9314dff6, 0x85f55a71, 0xa4ce18ab, 0x837799af, 0x75946639, 0x80c8fd85,
+    0xfcd7e8f2, 0x3d7dc5f4, 0x6569c0e6, 0x703b8c73, 0x9613e744, 0x4ea41793, 0xdb1ab00b, 0xa28996b4,
+    0xd2d6a14e, 0x256e54a3, 0x0be415a6, 0x7f126e2b, 0x8965ec72, 0x8871c6ca, 0xd5f02179, 0x588f219c,
+    0x192bc1e6, 0x8713f381, 0x000a60f2, 0xf51de0a4, 0x0c13720d, 0x115df7de, 0xa7fc856c, 0x9887eb14,
+    0x9aa9909b, 0x3b9a1777, 0xb5cbfbe3, 0x80a4acd8, 0xc98c7967, 0x3e5bf7dc, 0xf71996d1, 0x7f3e615c,
+    0xd972fc67, 0x3bc40b8a, 0xf077f3d7, 0xc6607fca, 0xa3b4ac42, 0x8ddbff1e, 0xee9559a1, 0xbdf5edd8,
+    0x4c91e0d8, 0x2c5f89bb, 0xde269ef2, 0x01bf6e03, 0x0a754970, 0xbdf022cd, 0x0bb8ac8b, 0x733471a6,
+    0x3c3767ea, 0x30a03c5a, 0x09a913bc, 0x3aa5664d, 0x92012196, 0x19a63017, 0x206e00c3, 0x24094bb7,
+    0xdeeb7e94, 0x949cca3e, 0x05f7f7a5, 0xe850808b, 0xc5deab15, 0xf68d0184, 0x02e8d1d6, 0x7d7d860d,
+    0x1488562a, 0x1951de7f, 0x8bd0cae7, 0x7d813ade, 0xd68b6d01, 0x93b55374, 0xbefef40f, 0xc23b31a8,
+    0x1e8d950b, 0x6e0a8501, 0xc504723b, 0xafe2fad3, 0x466f875f, 0x070b4deb, 0x32eb7c20, 0xd2377a57,
+    0x93c80da4, 0xfb9150f1, 0xa8b57d86, 0xf65d9fdd, 0x0ad38725, 0x5a31f694, 0x3e00d9bb, 0x6a72aecf,
+    0xe80adf01, 0x7db1543b, 0xdf98027e, 0xc7fbdf16, 0xf486aee9, 0x1d88f56f, 0xccf663c3, 0x8d3fc71b,
+    0x85fe32b7, 0x57176a85, 0x71af9ac7, 0xa5105912, 0x0f51bdce, 0x3bf9e1ca, 0x61bb9c4a, 0xf45cb8bb,
+    0xb0bdd9f1, 0xe13bcfcf, 0x63b1c7f5, 0x0ad6286f, 0x81082ebc, 0x632aa444, 0xcf796acf, 0xa913c804,
+    0x78da7d7c, 0x45ca411f, 0xceaa2d8c, 0x1403c066, 0x966c5294, 0x1add23b5, 0xd1bc6b06, 0x57896585,
+    0x6f148c9f, 0x9f422cfe, 0xa35a1d4f, 0xc8d7e14a, 0xed55e8b0, 0x5a9aa3f4, 0x0568dd0e, 0x7f07d440,
+    0xe10accca, 0x371af0cd, 0xceacbf14, 0xe7cd54e0, 0x281d3cd1, 0x65340b47, 0xce72aa22, 0x476f4d7a,
+    0xc2c23b78, 0x4f6df418, 0x68b9cd55, 0x8bbb76f0, 0xa9cb0a0c, 0xe956f7e0, 0xedbe2d2f, 0xe1d0a20e,
+    0xae207b36, 0xe7be53f0, 0x1c0f13c3, 0x64616555, 0x268081ae, 0xe0888149, 0x81231c54, 0xb9f4c7da,
+    0x63e0f4e6, 0x77e0fefa, 0x3cb4a99f, 0x9565c195, 0x82a72150, 0xdd5649d3, 0xd5527a26, 0xe474eaea,
+    0x527d995e, 0x4a1a7f6e, 0x2127cfd1, 0xba57186b, 0x5668c790, 0xa9faa703, 0x9a16ce3e, 0x9b27d7f3,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000183479889279205720928865671624\
+                          16695526372519913346248989900710715095383008707878464560148424881005492436992 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402,
+    0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfd, 0xf461e98b, 0xe66bc085, 0x88ab8317, 0x076d0551,
+    0x00000000,
+    0xadf441a9, 0x994c1468, 0x96a18722, 0x7176823d, 0x9b1697bf, 0x5d95a6e4, 0xaf447d8c, 0x22b57cd2,
+    0xb2267b86, 0x72c3ef66, 0xb4de539e, 0x88e7a2be, 0x01c87816, 0x912f2ec8, 0x8b425f5e, 0x0510ba87,
+    0xa8c87f6f, 0x48289719, 0x999f9207, 0xd1afe812, 0x5acf009a, 0x7de60716, 0x57faf458, 0x327e1066,
+    0x94737d1d, 0x19dea0e6, 0x668a71a2, 0x85f4f7e3, 0xdfd4127c, 0x4e5a2411, 0xc8da9f91, 0x472ea7b1,
+    0x6ab2c63b, 0x41d0f771, 0x40f05f97, 0xc2a040e8, 0xe867b05b, 0xcdf02e5e, 0xd4254387, 0x514a5d66,
+    0x7dfb4762, 0xff8d2b04, 0x2b1287f7, 0xd2ad614b, 0xa565841c, 0xcd6d7c18, 0x6aea9224, 0xb0301d91,
+    0x89007408, 0x6b03ba4b, 0xcda5cb68, 0x01abb69f, 0xac0235ec, 0x883e2f3c, 0x48d8e2c7, 0x6db34bdb,
+    0xfa86e171, 0x2f46e925, 0xe431f8fb, 0xc804a51b, 0xd320d69a, 0xdd96ae17, 0x8e620451, 0xb22a8974,
+    0x5c8fda9f, 0x1d2a586d, 0xe73a0c0e, 0x83c42205, 0x1973938d, 0x789d80bd, 0x96aabf37, 0xa0e40f9c,
+    0x49b1cbaa, 0x8d2bfbb8, 0x13991241, 0xda36826b, 0x9b1ac2f5, 0x1ae09329, 0xe41e97c8, 0x3289c4ee,
+    0xa2d631ad, 0xb78f7e94, 0x881362b9, 0xb48eb9e0, 0x0948d1a6, 0x0cee300f, 0xdda59cf9, 0x4d971732,
+    0x8802763e, 0x62a89dec, 0xadb5275e, 0x94a14b1a, 0x104845ca, 0xe09834d4, 0xeb18f1ad, 0x454dcafa,
+    0x24063b19, 0xfbf32467, 0x6c2dfe66, 0x6ccbf47b, 0xad96e8dd, 0x1c013423, 0xf1015b06, 0x923c2a1c,
+    0x9b338c5e, 0x1de077e4, 0x6059f629, 0x160367ac, 0x0b1517ea, 0xcf64d555, 0xa1aa7082, 0x0e6f0338,
+    0xf8c11b8d, 0x7bc10a57, 0x6b90bac5, 0x0b4fb25e, 0xe72dd1a5, 0x5c013b3c, 0xcd43eae5, 0x4b266556,
+    0xaa81b9ea, 0x88d016c7, 0xe314f03b, 0x517a4f54, 0x21d3f7a2, 0xaefdb9a7, 0x18237970, 0xd14a3909,
+    0x181860bb, 0x65d318f8, 0x2d8d865b, 0x357a4f2f, 0x356257e6, 0x8f0f9e62, 0xe03db0f3, 0x3ccca304,
+    0xd060f20d, 0xc9164a4a, 0x9cbdb71c, 0x873d9e52, 0x27c998e8, 0x958e4bf0, 0x1f1c2e24, 0x902ef0d4,
+    0x2ef0ab17, 0x3b901a4e, 0x88f71a73, 0xd3cb7692, 0x20734480, 0x1aa31e98, 0x406165a8, 0xde63ce8c,
+    0x7924fc8a, 0x14e18695, 0x687efc3f, 0x8bd6f9d8, 0x228878ec, 0x08b81cac, 0xe844fe14, 0xb44cfc12,
+    0xaeb2aa2d, 0x5f3447ec, 0xe9e02a13, 0x007e1f2b, 0x1e75ab1d, 0xede8cc0c, 0x459f2967, 0x0d907639,
+    0x7fbde276, 0x48109bba, 0x2773ece3, 0x305d08eb, 0x08f2d6e8, 0x39ca9c5e, 0xbeaeca37, 0x9c05a47d,
+    0x3b441678, 0x1adc512b, 0x9924d332, 0xe6a971e7, 0x9a60f0c9, 0x9cffc9a8, 0x6abd8585, 0xa094f2e0,
+    0x009c68e0, 0xaa27619f, 0x396d3854, 0x319c9236, 0x975d772c, 0xb46e99fd, 0x2feb249e, 0x2521585a,
+    0x645d7c49, 0x773524f5, 0xe88b1fd5, 0x6e889587, 0x7693296e, 0x9d9c4481, 0x519a176f, 0x7c00f0fe,
+    0x65e5df18, 0x2cd8a175, 0xf5a6c2b9, 0x4b07f386, 0x12b488ad, 0xb925e631, 0xaf045e76, 0x00321154,
+    0x6e1ce00a, 0xb5c754fc, 0xa19c815d, 0xc69ae48a, 0xe93c6b3f, 0x99b49f1e, 0xc82eed86, 0x48fddfc7,
+    0x5387f90d, 0xdc65b188, 0xa386765a, 0x84d4c12f, 0x38dd7fd9, 0xedd065f8, 0x077eb9e3, 0x3bdd989a,
+    0x6b69f5bd, 0xf1de977f, 0x93175b91, 0x6d9a0494, 0x8f7e580d, 0x8fb7ca17, 0xd55b503f, 0x51a89db7,
+    0xce56c37c, 0x5756f075, 0xfd89d0a0, 0x95022bd6, 0xe141c6f4, 0x6b998553, 0x8231af70, 0x7002722a,
+    0x4c8e1182, 0x1bd681ee, 0x727af6eb, 0xee6d3e40, 0x12d82e5a, 0xc0b0eae1, 0x743e3405, 0xd05fa160,
+    0x48ff46cd, 0xd9f438ad, 0x22d025a0, 0xb308e8b5, 0xccc460b7, 0x7b3643b2, 0x6d2b3a0b, 0x8c98d9db,
+    0x928d52a5, 0x8e4e7cef, 0xcf68655a, 0x408d6818, 0x7357c5b3, 0x591b6e88, 0x2b55ca59, 0xe90ca9ec,
+    0x0f498f67, 0xaf389e5e, 0x437893d0, 0x88ac44ed, 0x3d571ea6, 0x10285567, 0x25edd805, 0x93ad09bb,
+    0x2b873d9a, 0x9f834b23, 0x7bbfe3ca, 0x4aa6acdd, 0x7a763f6b, 0x526c4441, 0x7204d272, 0xb73a6b85,
+    0x4522efdf, 0xd746831f, 0x477f461b, 0xe1b22f5a, 0x2876a321, 0x5b0339f6, 0xca0f70b0, 0xbd72f8d3,
+    0xc37ca461, 0x02e23c4b, 0xb75664e2, 0xbc750b4d, 0x385ff748, 0x169da428, 0x033e9769, 0x4603cce7,
+    0x4b4cb411, 0xa65fd24c, 0x3fd676f2, 0xe263aee5, 0xc8a2532c, 0xb6b2156d, 0x25a51038, 0x32728bb5,
+    0x8a9e4a10, 0x0c6c956e, 0x55139909, 0xd30cd062, 0xa14dd0f2, 0x7436ad48, 0x8415daf4, 0x6a7f9b72,
+    0x9f979abe, 0x4c38e0c1, 0x522df3b4, 0xb8931583, 0x9222edbf, 0x2de454b2, 0xe9ab4fbc, 0x5c02492a,
+    0xf800a671, 0x4f60ff1c, 0x7114f28a, 0x8afb1d99, 0x445f2c59, 0x126c6598, 0xe314d421, 0x2ccc0c8d,
+    0x573c8ae5, 0x39692887, 0x6e6e6c24, 0x5e460a00, 0x30a6be10, 0x1f911786, 0x9d6ec5d1, 0x4915e8f2,
+    0xba232b88, 0xf92c71c1, 0x966c8c93, 0xe005e160, 0x2bd00964, 0x39567c30, 0x5091aad4, 0xb328e785,
+    0x8fb73a2f, 0xe732e055, 0xf10117ce, 0xa1727975, 0xa6745a96, 0x17914e00, 0x588f6b2a, 0xa49cfdd1,
+    0xab161a51, 0x2a45d4ae, 0x5de64a83, 0x06291697, 0x43f51449, 0x368a0a03, 0x426535da, 0x96b227e2,
+    0x6ab0c619, 0xd908d72f, 0x3c8837a2, 0xcaf89eea, 0x322ab217, 0x6bc78694, 0x7bcc6e49, 0x1baba62d,
+    0x5885356a, 0xebd4b08e, 0xab2f0f43, 0x77f0a8e4, 0x0a96b269, 0x56045e48, 0x6888632a, 0xf6f47a45,
+    0x1e8c8eff, 0x20c37324, 0x48a902e1, 0xbfabd310, 0x2645221c, 0x59ca3b2a, 0xaf33db9a, 0x0a78f196,
+    0xc2b93f1b, 0x075edeef, 0xeaa5961b, 0x317c52b7, 0xf62588a0, 0x38479827, 0x0be2db04, 0xcf6fc99b,
+    0x0eb06c7e, 0x8cd213bd, 0xa0fc7837, 0x4b906784, 0x106a1e23, 0x262d7802, 0xe4c8210e, 0x1d5a508c,
+    0x9cbb7630, 0x8882f2a9, 0x93a51f67, 0x57b6be6c, 0x93ea107b, 0xe9712b1e, 0x79e3cac6, 0x4ca95b6c,
+    0x89455495, 0xe4cfa907, 0x7179c4e0, 0x87da8365, 0xc5074a0d, 0x066fd4da, 0xac24ea53, 0xc924cc39,
+    0xa777dc6d, 0x6c6d50b8, 0x037a5bfd, 0x8b9ec939, 0x75a58fa1, 0x71c7b2af, 0xe6420a47, 0x41d2c8e8,
+    0x7354388d, 0x878aab32, 0x49f66ac1, 0x2cbafa00, 0x9de0b695, 0x30280896, 0xd2f3b8ee, 0xefe0f585,
+    0xc5f3e40b, 0x0c2bc00a, 0x52a3811e, 0xb4766ae2, 0x357a2af1, 0x4dd17c02, 0x5638e947, 0xe7fd4ffa,
+    0x80a8ac32, 0x6fd2b5df, 0xd3eaf8fb, 0xed03df20, 0x4644104a, 0x20ae72a9, 0x9eca7f89, 0xa4710ec9,
+    0xa0091d44, 0x49d62cb9, 0xa15aa532, 0xadd6098c, 0xed754c8e, 0x04013e90, 0xe004f17b, 0x3a685f6d,
+    0x435d92a7, 0x5efa67d7, 0x6392725d, 0xb8adaeb0, 0x212137df, 0xd1b36d47, 0x73089334, 0xc6380fa7,
+    0x60413ed7, 0x1840b911, 0xa0cb63dd, 0x556c13f8, 0x8eabca97, 0x282ac5d1, 0x5a999d27, 0x751549d1,
+    0x15b51506, 0xdabc8d6c, 0x6bf3cf54, 0x69a3202e, 0x6949fa97, 0x0c39698b, 0x13ae5d11, 0x3a64197b,
+    0x7d75c8fa, 0xebc21f2b, 0x61fe8cf5, 0x26dcc1fe, 0x9b34c608, 0xf925dfdc, 0x143ce6a6, 0x704a040f,
+    0x7b883f75, 0xfab25671, 0x84fca23a, 0xb110607c, 0x9be84850, 0x330eda1c, 0x80b0555e, 0x1d8a239e,
+    0xd6bd46cb, 0xb79a7b18, 0xe76c6c09, 0xf06bdf7c, 0xd11fe738, 0x181fc658, 0xca026765, 0xcb74d092,
+    0x8abc3dd8, 0x651ba4b0, 0x9a99257b, 0xdc2fd957, 0x6a536115, 0xc5e83a44, 0xd4446f03, 0x2bf51089,
+    0xb726d860, 0x3fa8d4b5, 0xfd75216e, 0x75f71f4c, 0x163ec908, 0x98f36716, 0x554246af, 0x84c4eaf6,
+    0x69937cf5, 0x1ba4597e, 0xbd14bd6b, 0x4852346d, 0xe706e3f6, 0x9883cc27, 0x21534898, 0x780ec1ea,
+    0xfc63052b, 0xf7620f4b, 0x58b1ba00, 0x7c597459, 0xa74a1494, 0x66076410, 0x2a3b8137, 0x41eaa06b,
+    0x381f249e, 0xc468ed4f, 0x6e8d067b, 0xbb82b93b, 0x0d6e24ac, 0xc807fa57, 0xcd98a7d7, 0x014e9026,
+    0x1c2250d5, 0x0c8664ce, 0x1ec35d35, 0xf7ac5468, 0x4457daa2, 0xa1e1cffc, 0x5b238fae, 0x8dd0a482,
+    0x0e09b74e, 0xce84db87, 0x9fb2b879, 0x0884b4a9, 0x2a0b4d2c, 0x5b5b8e52, 0x0d6a7c04, 0xd5866ca8,
+    0xd831761f, 0xa41d2821, 0x88a66663, 0xecd175f0, 0xf027dad7, 0x53bad1b4, 0x10a9420c, 0x5e7acccc,
+    0x1c9fd627, 0x1ebdd40e, 0x8a9684bd, 0x5efa10a0, 0x34c79adb, 0x620cabe6, 0x9ea6e3d8, 0x89cef061,
+    0xe43a5b83, 0x915bdd35, 0xe26ed1a3, 0x92771ecd, 0x71577eb9, 0x196a2ddb, 0xe492c3fe, 0xd22c8a25,
+    0xcc92b0e1, 0x9d714486, 0x560b4e2f, 0x289720a1, 0x0d1f50b1, 0xa5eac257, 0xd522464c, 0x09c02f87,
+    0xf07c32b4, 0xbb1e52a5, 0x44a9731f, 0x4f0fec0b, 0xbeeeb72d, 0x00a4902d, 0x545690c0, 0xb9e745f5,
+    0xc4575d08, 0x7fc8c96e, 0x6bb91725, 0x41c95c05, 0x9e9005ac, 0x961c634b, 0xe36c6932, 0x986017a0,
+    0x5300a000, 0x08110d99, 0x4b1620d7, 0xbffb987d, 0x42724ecd, 0xe334780a, 0x6c7cedf5, 0x0fa4cfcc,
+    0x844ffc1c, 0xd7233951, 0x7e9ab6c4, 0x5a0b4877, 0x60c7a7e9, 0x52eb9c19, 0xfe69a312, 0x668166f2,
+    0x55851c72, 0x8ac75dec, 0x4a6e8961, 0x12e16132, 0x84cac281, 0x64c3c547, 0xddf9afb7, 0x99148201,
+    0xe462bf2e, 0x42b91c82, 0xdd9dac73, 0x1470601c, 0x2b5e2f90, 0x25d8e0c1, 0x3b67fc73, 0x87c67247,
+    0xcb58acfc, 0x42630234, 0xce00f058, 0x6d71dcd4, 0xa070b25a, 0xa57f9b7f, 0x4e2e4fdb, 0x173fd5ae,
+    0xe6e3d92e, 0x2f5ca396, 0xef4c36c2, 0xb3117e3a, 0x2b6591de, 0xdf382f8d, 0xb98cbcdf, 0x8fc720ec,
+    0xd68ef946, 0xbdb0b112, 0x549eff9d, 0x35595397, 0x160402a8, 0x3e7c7448, 0xead8db89, 0x2f97baac,
+    0xeb65319e, 0x37824cd5, 0x3500bea2, 0xeee02a4c, 0x5128d4e8, 0x2dc5b0c7, 0x94d6ce60, 0x50236747,
+    0x0333f514, 0x5c057099, 0xaa32e3f2, 0xa77017f9, 0x762b9121, 0x1aee382b, 0xdbf8facd, 0x13629fb5,
+    0x9143bfd2, 0x65f3a702, 0xc044e359, 0xfb1f723c, 0x52db524d, 0x29bb7121, 0xe7505491, 0xe4ab2534,
+    0x8eee8fb3, 0xfa0520a4, 0x258933f2, 0x27e850e0, 0x03614aa4, 0x92f8dac0, 0x31878089, 0xf61fb6eb,
+    0x9a6707f7, 0x207dafc9, 0xbfee5092, 0x9e62a67e, 0xca7fc404, 0xa87866aa, 0x061f4027, 0xa6b299a0,
+    0x722e3131, 0x5b2bf4f8, 0x0eea7d9c, 0xa675b07b, 0x542ab91a, 0x229300c6, 0xfa945900, 0x9f6b4ec2,
+    0xd9ccdd44, 0x74e0fb44, 0xf51b861d, 0x70adc2fa, 0xdf4daf2d, 0x5ab61f21, 0x5bf8c3c9, 0x4ed4b8b0,
+    0x904cce0a, 0xf5f3ef94, 0x86066cc8, 0xd0056ed0, 0x3a875804, 0x30990953, 0x10bd39ab, 0xce103620,
+    0x959d3c2e, 0x5173b555, 0xf36f3ab5, 0x3f5d7669, 0x0e969d02, 0x9a32d90a, 0xc38257cf, 0x23f6e82d,
+    0xdea3f7a3, 0x66ecc718, 0x57b3f4d7, 0xdd0ea041, 0x2ae6d6ce, 0x23a8ddb8, 0xf545f71b, 0xe0f9ff22,
+    0xf31feaf0, 0x1f0233e0, 0x017edc6d, 0x442275ff, 0xa436919b, 0x7cdc66c8, 0x1fe4b8cc, 0xd81056c6,
+    0xc4ec2b69, 0x0561d25f, 0x30a5ce45, 0xee86aa7c, 0xade488ac, 0xadd7813f, 0xb583489d, 0x38c898ee,
+    0xa437ebf1, 0x5f9be4ed, 0x5ea290bc, 0x38898b28, 0x9b80195b, 0xe5fbda2f, 0xe0a28791, 0x381b684c,
+    0x7b8cfb67, 0x422c1d8f, 0xaf09830a, 0xbdf161f4, 0x60981820, 0x5aa59b35, 0x9305958d, 0x8dcf9007,
+    0x9ca73745, 0x8773b511, 0x3a811d99, 0x1712674d, 0x5c660061, 0xe1f42b1f, 0x104ac51d, 0xe49a0e29,
+    0x52473489, 0x9b28ed56, 0xfce44597, 0x0e636694, 0xc87186f5, 0xf37e816f, 0x4fcc03d7, 0x89d74d59,
+    0xdf553d86, 0x25ee9773, 0xf5623e1a, 0x9546b41c, 0xd7df2d1d, 0x3e78616b, 0xc263fc16, 0xcba20b85,
+    0xc183e1d4, 0xd3a20d82, 0xef22ce5a, 0xf3429df0, 0x9d670fa0, 0xc391749e, 0x5ed335df, 0x1e116130,
+    0x82d6cd68, 0x352c1e36, 0x10f0412a, 0x5e6465b8, 0xb53ba5e7, 0x1557a46d, 0x932449b7, 0xb409773c,
+    0x7e09442e, 0x8aa4e777, 0xf8c613fc, 0xc1f1a18a, 0x4417d90f, 0x5361a8f4, 0x98f6eb2a, 0xa44ad2c9,
+    0x44be560f, 0x84c50491, 0x350594ee, 0x6285cf1b, 0x8885cff9, 0x056a4518, 0x1dd3c894, 0x13542cee,
+    0x8843bdba, 0xdf573c37, 0x0462b11e, 0x2263da56, 0x177c3281, 0x8c7e3f80, 0x3fbfbca9, 0x0d3a7c46,
+    0x0c3aa301, 0x340efea9, 0x75687984, 0xaa22d1b0, 0x11cbc934, 0x2c7cf5ed, 0x384fd992, 0xe82dfe14,
+    0x439007ab, 0x2c4f17f9, 0xd8103aff, 0xe18ba5ea, 0x0a685416, 0xede1875d, 0xcdd97305, 0x24d5b128,
+    0x6c2499d2, 0x39a93df6, 0x6967219a, 0x63f11487, 0x7d7b317c, 0x92136d48, 0x591b8d2f, 0x5fabd052,
+    0xff5e2576, 0x189944ce, 0x79382440, 0xde7dee17, 0x053896b9, 0xbb1fe5fa, 0xa92bade1, 0x975e45fc,
+    0x8c96c335, 0x80948cdc, 0x18a32838, 0xdd64032d, 0x22fe0d42, 0xd6aabadf, 0xb60ca1bf, 0xf6aab2d6,
+    0xa167227a, 0xc01fc41f, 0xe86fa63f, 0x61a4bad0, 0x29403226, 0x66877479, 0x1ad0e5bd, 0x70156c2b,
+    0x7405015a, 0x0142e66b, 0xe9530187, 0x10cc35a5, 0x34e7323f, 0xc74444ee, 0x08bc8c64, 0x4ecae8be,
+    0xa01ce946, 0x38507c15, 0x9c90420d, 0x82e0f347, 0xee9ea324, 0x1010c593, 0x621e6ae9, 0xc6e546d9,
+    0x0d54a486, 0x0520e0fd, 0x4bb6e0e9, 0xb2044139, 0x3c329cf2, 0xe88b8d8d, 0xf6209cf7, 0x0e424b13,
+    0x32d9ffab, 0x6b62124c, 0x4f21d2bc, 0x2042752e, 0x4d8617f1, 0x07c93d57, 0x4d864963, 0xc8a2caa8,
+    0x5bf83a44, 0x2275c42f, 0xfd594005, 0xc5cbb7ba, 0x142a789d, 0xfe7a34a2, 0x951d0332, 0x34725023,
+    0x7ae69fa6, 0xf08f7fd3, 0x7d6b6f3d, 0x270e4488, 0x260ef127, 0x9c0b4dbe, 0x82328689, 0x912f7a86,
+    0x9f407a78, 0x6e8caecb, 0x96aeb41a, 0x206927bc, 0x48461797, 0xb632a8f0, 0x98c6b629, 0x1da2e043,
+    0xa18aaac2, 0x43faee02, 0x7a34f289, 0xef20498e, 0xd841927f, 0x9b34c4a1, 0xdaedcac3, 0xa19cef76,
+    0x855fc886, 0x8aedb63f, 0x0cd5462d, 0x9a59f685, 0x4b690ada, 0xa8c4ec04, 0x16f98f4b, 0xbfa2c0dd,
+    0xc8857640, 0x52210dc4, 0x031ccf27, 0xd7a6e55f, 0xfa725147, 0x5b1e9fe1, 0xb6d519a0, 0x4ad556dc,
+    0x6b6c7314, 0x719ab592, 0x48f87f24, 0xb101c862, 0xdd3ea257, 0xfc4b3bd3, 0xf0a28146, 0x49909030,
+    0x34873509, 0x29715f0d, 0xa15437b6, 0xe4cc0b7c, 0xdeb1b67e, 0xd38f8eb5, 0xca8c3c18, 0x31cfc56e,
+    0xe0b82181, 0x9d7ce7e5, 0xa61924f9, 0x1441706e, 0x25ef5185, 0x7c8a8ae3, 0xc8e6d9c8, 0x99ddcfc3,
+    0xd2821c99, 0x197b9af0, 0x8bc18886, 0xfde01ab4, 0x9aad8f39, 0x47a8ed45, 0xf763f8f1, 0x7de3aa59,
+    0x7e803bcd, 0xba7136fb, 0x4bc625dc, 0x3299d777, 0x947f8dce, 0xe17d4382, 0x8ea20f87, 0x9220ba60,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000091739944639602860464432835812\
+                          08347763186259956673124494950355357547691504353939232280074212440502746218496 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201,
+    0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fe, 0xfa30f4c5, 0xf335e042, 0xc455c18b, 0x83b682a8,
+    0x00000000,
+    0x9537e87a, 0xea46c091, 0x55e934dc, 0x3cabcc59, 0x5a83ddff, 0xf8689103, 0xf544e04c, 0x0edda8c3,
+    0x31fce101, 0x99462dfe, 0x1b3e4557, 0x75dfad28, 0xec1da696, 0x6b22f371, 0xfc679fb8, 0x72469f51,
+    0x305222ac, 0x1c1729dd, 0xa502fa4c, 0x6cbf06dd, 0x381344f4, 0xed3a7b7f, 0xaf06d853, 0x7acf5edb,
+    0xe89abc5f, 0x02f4a347, 0x06c62d3a, 0xfb565cc7, 0x6ad80866, 0x7da94c76, 0xb5b21964, 0x187160d7,
+    0x7094ad8e, 0xc54956a5, 0x294e7d96, 0x96ddb9d0, 0x3ee93cd0, 0x6c41afd5, 0x42d0da4a, 0x38d88f20,
+    0x00cf4e12, 0xe6fe7624, 0xcd0da524, 0xab4a3438, 0x8424aeff, 0xb1dedc14, 0xb2912415, 0x8f124a0c,
+    0x40a550d7, 0xdac40fed, 0xcd0a6dba, 0xf1d7db73, 0xd0df4555, 0x00b6dc88, 0xde52f93b, 0xe3b0a843,
+    0xa7088a0e, 0x4d5e1155, 0x5190723b, 0x8217cdc4, 0xc17b66c7, 0xc3835452, 0x6ec580e6, 0x2c94be05,
+    0x52c7f10a, 0x846628ce, 0x97ac9020, 0x01ffa172, 0x35fee883, 0x7b5906cc, 0x0e098a13, 0x7838ec99,
+    0x496f0c03, 0x53315fc8, 0xa9a0bfdc, 0x7d067aa0, 0x8103b803, 0xf8d1e306, 0x4ac7b72c, 0xb1ffc216,
+    0x27c953bb, 0xc12ff03b, 0xcd36fd6c, 0x0189d565, 0xcb7a7d9a, 0x6520f5f0, 0x1219da23, 0x81bc38dc,
+    0x183ac94b, 0xfdd2df05, 0x7fc8c4b9, 0xb4b2e16e, 0x3eee219f, 0x79927fc5, 0x2dfba630, 0x276b7590,
+    0xc835fdd2, 0xf44a0c0a, 0x4fca09f3, 0xbc2baab7, 0x737adf6f, 0xa43c837c, 0x27ed4702, 0x55117009,
+    0x39683f41, 0xc4ca9348, 0xf81f1dc4, 0x35fd1179, 0x0f0b7c89, 0x1f060d5c, 0xab19c9be, 0xd936a4d5,
+    0x72281881, 0xfe264958, 0xfd0c7182, 0xca0ad634, 0x5d70a4b8, 0x80c8d874, 0x74a47362, 0x272d3529,
+    0x76a5c51f, 0xe15ad71c, 0xf690af14, 0x506f35b7, 0x69b31a47, 0x687cfd96, 0x6495dee3, 0x5911bce9,
+    0x96cc493d, 0x5a856026, 0xea2691e2, 0xc8286334, 0xb669824e, 0x08772653, 0xa69c0d9c, 0xa03f2441,
+    0xc3a82d41, 0xe683c9c7, 0x1f1e381e, 0x8ffd6088, 0xad4ee390, 0x0ab4f1a7, 0x11d3f9ac, 0x09b69acf,
+    0xd9c60e2c, 0xb251da2f, 0x2aadc20e, 0x9270e913, 0x19379d0c, 0x7f97ef9d, 0x78f14378, 0x1e1743ee,
+    0xa4d33cdd, 0xfd939edb, 0x0cb0a106, 0x96f57aba, 0xca102d74, 0x9b359a46, 0x39d84eb7, 0xbc94789b,
+    0xd73f43a0, 0xdb54a2ce, 0x89ad52e3, 0x9c3a20d5, 0xf20deabc, 0x7f9fc230, 0x73240782, 0x9452590b,
+    0xdf890902, 0x10aaefe4, 0x5597474a, 0xd85d51f3, 0xda5a31d0, 0xb0c20ed9, 0x6caa6344, 0x71689603,
+    0x5cef7a93, 0xffdafa65, 0xb9927bf4, 0xc3c239c8, 0x3550cdc2, 0xc4334849, 0x378ba3e8, 0x4ec124b9,
+    0x631eb846, 0x637f319b, 0xaaf75ef8, 0x3cee5f6c, 0xb1319652, 0x30f2cad1, 0xea2ba8df, 0x16dec55d,
+    0xb8be253f, 0xd57ff137, 0x8af2d06d, 0xb39b97fc, 0x702bd09f, 0x4f5083d1, 0x009fa183, 0x5f102052,
+    0x9326e696, 0x998fec55, 0xeebad4ce, 0x795dd661, 0xea822a12, 0xccde15a8, 0xd16b37fe, 0x68e4860c,
+    0x70d08274, 0xd0b0a8e0, 0x21e4049e, 0xbc518625, 0x4112ef47, 0xe3728f53, 0x1e950f58, 0xc2e01120,
+    0xa217f1d8, 0xb3b42cbb, 0x47c5a559, 0x22445eb3, 0x91512b84, 0x1e01bddf, 0xecbbcea8, 0xfe3fce12,
+    0x403e2486, 0xedc5abe2, 0xa5a67417, 0x70b873c2, 0xa7ae079d, 0xa75d614e, 0xd297eac7, 0x7ed94857,
+    0x9e924d3b, 0xe101dbcd, 0x8c2f9483, 0x2f94b9c1, 0xfd08a72a, 0xfcf46a02, 0xab15fc45, 0xa1da72ad,
+    0x66a27924, 0xda3b8457, 0x1c945c25, 0x82b85faf, 0x3835ffa1, 0xc18903ef, 0xf7cb1487, 0x48429e3e,
+    0xbe8f0302, 0x846bb08d, 0x0566fcaf, 0x00537663, 0xfdd8b38b, 0x05b85c8f, 0x74555bf7, 0xdb87d377,
+    0x7e6f6e46, 0x90465155, 0x02a55d17, 0x347a2e96, 0x5caafc5b, 0x8475e39d, 0xf4bbb92b, 0x8724a52f,
+    0xbd67febc, 0xf5943d8b, 0x5120ffef, 0x3a818cd5, 0xf0ab8811, 0x6ef08a05, 0xe7048a4a, 0x25bffb62,
+    0x39c3ed3c, 0xdcfb4619, 0x55a5d886, 0x165699b6, 0x9d037a61, 0x6c7eaabb, 0xa2fab15f, 0xce7d3710,
+    0xf89104b9, 0x78021386, 0x5b7eb88e, 0x1cec6f2e, 0xa2318492, 0x7b9fa6e8, 0xa24cd2db, 0x19a30ece,
+    0xc611f60b, 0x10b5494b, 0xca4293fb, 0x78654d2a, 0x5ab3151e, 0x0e55fd97, 0x6cfc683f, 0x5205b8d1,
+    0xc4709af2, 0x04f0c79d, 0xb6e19bbc, 0xa34c71f0, 0xcd006cab, 0xb46b9f9f, 0xba8244d7, 0x2e37b82a,
+    0xc67684e6, 0x55b07c1b, 0x456a653b, 0xf5c42566, 0x3b98e93f, 0x5b160534, 0xc40033ff, 0xfb3166d1,
+    0x3ae46309, 0xdc6d1988, 0xcfb8f3cb, 0xe32c3c70, 0xd4300909, 0xd9e2095e, 0x7cf81877, 0x3cf6e7e9,
+    0x7d18dc42, 0x604beec2, 0x6375faab, 0x1dc6d773, 0x531de4d9, 0xc0ce263b, 0x8369143a, 0x09778019,
+    0x793c72c9, 0xba9456b1, 0x29e5f361, 0x4c4c7e45, 0x6acd17f3, 0xd96dded0, 0x56d1b6f3, 0x2006bac4,
+    0x6e4a5744, 0xa57c5e13, 0x8cbd2737, 0x0cc4d344, 0x1164babf, 0xd15bc4b3, 0x3e9677af, 0x9f4b328a,
+    0x3537d654, 0x46d01e1a, 0xc9799825, 0x3213a3eb, 0x70a5ce0b, 0x35bd019d, 0x6a77f86f, 0x5a3cc02e,
+    0x39e55514, 0x93e7cb1e, 0xd2ac6068, 0xd2256c69, 0x5aecce3c, 0xc65fd83e, 0x32eca238, 0x2ee980c2,
+    0x12926dbd, 0x5d5db3bb, 0x1a5bf48c, 0x0a2241a5, 0x81d2ea9f, 0x1001ba78, 0xa04bc126, 0xd075d090,
+    0x71d49118, 0x7ba1dea7, 0x347b753f, 0x6cf60f32, 0x5e519878, 0x8f589e9e, 0xe8076681, 0x493b532c,
+    0xd3365fd8, 0x14c6756d, 0x7cff9788, 0xf5de5eec, 0x40c26130, 0x13dacb3c, 0x8b225c05, 0x5c283262,
+    0x2269e75a, 0xb6f4fb6f, 0xe327a21e, 0x13e1cfac, 0x2e2898de, 0x36093149, 0xe4ac500a, 0xb8b6c52c,
+    0x032daaba, 0x73320824, 0x12490491, 0x2d1f3146, 0x529776f9, 0x4b97fde5, 0xfa038a72, 0xc7fcd6fa,
+    0xb7371c7d, 0x5d848102, 0x462cae80, 0x76e6f5a8, 0x024ba109, 0x2aa77962, 0xa2c4496d, 0x2d132b42,
+    0x1eea5cc3, 0x059b260d, 0xfdb77bcf, 0x02932ab5, 0x75e988b5, 0x5a53c130, 0x6c853c36, 0xcec8b755,
+    0xc23aa268, 0x01125217, 0x2c44232b, 0xb020deab, 0x67e2c397, 0xfb095413, 0xfebbf412, 0x1bc874d4,
+    0xc58af7d7, 0x32f35898, 0xe4484e4e, 0x7cf10792, 0x7a204935, 0x1d98addb, 0x404ea4ac, 0x1803cb5f,
+    0x3ec587c7, 0xda980d1e, 0x111bedbc, 0x1c21a2ac, 0xc3752633, 0x2561878a, 0xc947d572, 0x44bc2a7c,
+    0x85c90f8a, 0xcfd7cd97, 0x731809bb, 0x57363b6b, 0xe063a0d1, 0x97f6e9ee, 0xf08a3dfb, 0x6b827871,
+    0xd9aa26c5, 0x9c8f12ae, 0x614c835f, 0x32480c2b, 0x945f64ea, 0xaf5d3abd, 0xde87b281, 0x23ffce63,
+    0x9b078cf6, 0x484afc5a, 0xacfc1f5c, 0x82a4d98d, 0x59784b65, 0x2a90503c, 0x86649401, 0xa877c899,
+    0xf3361f7b, 0x591f2db3, 0xbf870717, 0x498d93da, 0x490ed1b7, 0x8ee1a792, 0xb0e29bd3, 0xe31c6c8f,
+    0x259fc2bc, 0xb2c8c6f1, 0x4dee21d9, 0x813975c8, 0xc527dcdd, 0x46d1acdc, 0x35d23009, 0xbf3cde56,
+    0x57272715, 0x6b8bbad4, 0x7f937c7f, 0xc78624f2, 0x37c62a4c, 0x41e35d21, 0x773eb847, 0xe433f865,
+    0xbe8b159a, 0xcad72d63, 0x4f0e9027, 0x09c4c831, 0xcc9b73a6, 0x3b3586f1, 0x37c2c57e, 0xd9d65706,
+    0xecc14e7f, 0x5c430a51, 0x4ca5d1f8, 0x0a229e29, 0x50406726, 0x2db20f67, 0xf9af83f2, 0xb7f71383,
+    0xf467c7a0, 0x33fe8799, 0x31a0fc26, 0x64d5d82e, 0x5ac9c20c, 0xa8a15df5, 0x28152fc9, 0x3865f614,
+    0xf1d49308, 0x73f0061e, 0x29cdad34, 0xc9f0397c, 0x9082d79e, 0x45579ff5, 0x5dde59d6, 0x823ff027,
+    0x25fd4d86, 0x77c30e6d, 0x569f1012, 0x5e3713e9, 0x6fe62298, 0xaa724b1c, 0xfae2b63d, 0x4204f4be,
+    0xcaf001b4, 0x051826c0, 0xf0d04418, 0x6456b43a, 0xb322c8a3, 0x5cdba328, 0xa985145d, 0x1c0a9c38,
+    0xf827b1b8, 0xab08b6bb, 0xb2409cac, 0xe021ff1c, 0x264734d3, 0x3415afe1, 0x85b1f1d8, 0x4f72c6e5,
+    0x0ccb0480, 0x58295249, 0xad2b15f9, 0x490725c8, 0x83615ec7, 0xcf8c0296, 0xaf44c65a, 0x440d5f6f,
+    0x671546ec, 0xb2230321, 0xe73a4d40, 0xdb4248d4, 0x6240679f, 0x0696c693, 0x5b7d096f, 0x287603d9,
+    0x711a87f2, 0x0158ae92, 0x2f30cfb6, 0x38178c89, 0xb6461d98, 0x7d6aaf47, 0x3bc80277, 0x7c0b67cd,
+    0x395df7d0, 0xfd9bff08, 0x60098295, 0x21a48bb3, 0xc76e25e7, 0xe2628f58, 0xfe941394, 0xbe9e223d,
+    0xaccfeb4e, 0xc31f9511, 0x118ea42b, 0x8172e18a, 0x2139396b, 0x7102db07, 0x12826f8c, 0x8c960016,
+    0xeabdf05c, 0x977d41ef, 0x15bbc2ae, 0xb1c07c29, 0x40314380, 0x90eb6c12, 0x16457206, 0xa54078b0,
+    0xc5e322ec, 0xed98a69f, 0xc142db25, 0x8d3e526b, 0x0d59ca4a, 0xbc2276ae, 0xda3e39b1, 0xf2a7faa6,
+    0x113fca82, 0xf6064938, 0x7d7176af, 0xbe727818, 0x3773d2a3, 0x6f69dcb3, 0xe69e7c0d, 0x7d1eb5e1,
+    0xed4e0d29, 0xfc8ba970, 0x0694394e, 0x60b8efe4, 0x6adccf26, 0x304a1bb8, 0x2f115a7c, 0x3d5e9aa9,
+    0x6ddb4974, 0x3e4b8700, 0x8839ef68, 0x0006a047, 0x67074718, 0x164326f1, 0x9d1192a8, 0x0d5baa22,
+    0x5495af6f, 0xe3b91bb7, 0x89096de5, 0xa780fcfd, 0x7dae45dc, 0x7f06fe48, 0xf43c245c, 0x974d8698,
+    0xf970bd11, 0x817a4c5f, 0xbcd35126, 0x56c579da, 0x1dece36c, 0x3863aacc, 0x78aaf9dc, 0x41261a57,
+    0xba56c943, 0x743a5707, 0x5bf7063e, 0x7c6a1906, 0xd1c9fc76, 0x90090034, 0x378f073d, 0x47b457e8,
+    0x517ff4e4, 0xd88209ea, 0x8614c060, 0x77852300, 0x2db979fd, 0x5bd2f246, 0x458ad665, 0x18824bc3,
+    0x56b82c8b, 0xb6a22738, 0x4a601f5d, 0x46145fe9, 0x657ce17b, 0xf0a7a2c7, 0x39f9dc32, 0x0601c514,
+    0x68e135ad, 0x11d02347, 0x35984c33, 0x1967ddbe, 0x7670ff68, 0xfa1850b7, 0x0acd48d7, 0x1427ba1b,
+    0xc4fa9d79, 0x703316c5, 0x47e3a32a, 0x066aba53, 0x17dd06ff, 0xe50e440a, 0x3ad348ea, 0x0ce7e670,
+    0x0686fd08, 0x50dce5d4, 0x6564cd61, 0x690dd303, 0xe1a4abd1, 0x907c803f, 0xc4c97bea, 0x12cc9d31,
+    0xfd3fb203, 0xc9b7b137, 0x9605acfe, 0xf6664e91, 0xe97a8efc, 0xeb89c318, 0x508a0c8e, 0x23bf22cb,
+    0x0bf074d5, 0x22b8876d, 0x7365e719, 0x4b12e059, 0x7a7244de, 0x068b141c, 0xca2baa0d, 0x9aa72f20,
+    0x77b8ab25, 0x44f3da9f, 0x5a97025f, 0x32f6292e, 0x2eeadd1b, 0x05df3801, 0x18df14d4, 0x4a273b5b,
+    0x671f6772, 0x4e9b102e, 0xb557f6d4, 0xcb31009f, 0x1e9f524c, 0xb4117578, 0x726f2d57, 0x687573bf,
+    0x94b2ba90, 0xb468c9a7, 0x7709f621, 0x4f65a886, 0xf1dc069b, 0x9743ae70, 0x0bfc3866, 0x4eb20fe0,
+    0x2f535c69, 0x67bb4d30, 0x646effbf, 0x1865ffed, 0x9dff07c3, 0x37230209, 0x6d72d4a3, 0x1d8460a8,
+    0x1792ae33, 0x213c3806, 0x3e24829b, 0x950e5391, 0x0c22cd9a, 0xfeb31c5a, 0x96ac0d2a, 0x4fbd82e8,
+    0x4f1c8c2b, 0xb17c4437, 0x367e804d, 0x034fb0d3, 0x3ee3cb72, 0x6549d294, 0x46ebc890, 0xdc62b14a,
+    0x4f4c4d32, 0x98941971, 0xb6693596, 0x1990c897, 0x7c9261e4, 0x0ae1b700, 0x4e1ef961, 0xc5c2f3cc,
+    0x7de71817, 0x7a9019b4, 0x7bca6418, 0x31e4834e, 0xc00ff3e2, 0xc404e7df, 0x9f1626f4, 0xeb5b2e54,
+    0x2f20362a, 0xe721033d, 0x2ea44b14, 0x9f3f8f2e, 0x3de5a114, 0xa6937813, 0x78a6c690, 0xe1fc1549,
+    0xe0d86161, 0xf9dd8ccb, 0xd1aaea6b, 0x652be11a, 0x988aa2bd, 0x4efc48dc, 0x185eea88, 0xdc258a6b,
+    0xdfe60e27, 0x52012607, 0xa510c619, 0xd10988c9, 0x5a580a18, 0x5ac68b0c, 0x816aca91, 0xccb50d3b,
+    0x9af77e58, 0xdc99d0f7, 0xd10e6e4c, 0x212f0387, 0xe30fb5b1, 0x7517ccb7, 0x73dc8a35, 0x549e941c,
+    0x04965a35, 0x23f9a558, 0xcc0543da, 0x1fc026e4, 0x55e420aa, 0x2ab007c5, 0x3038d499, 0xfba88b33,
+    0x206ac7f2, 0x86bf00f4, 0xd0580c62, 0x673306da, 0x3a24e7f3, 0x409c6fb7, 0x284cb5f1, 0x8b7861a3,
+    0x84c30529, 0xea61360d, 0x293df835, 0x2a556419, 0x0d864b82, 0xd00f6710, 0x58b80c24, 0x191cea83,
+    0x027c2273, 0x9a0a2640, 0x908a3761, 0x35187e57, 0x2f53fb92, 0x45459831, 0x33fd1ef5, 0x2fba1455,
+    0x5b4bf6ac, 0x30a9c008, 0x86840d6b, 0x74c9008d, 0x48389ca2, 0xb19ab48a, 0x2fcfef26, 0xb7ce8ff8,
+    0x37d1714f, 0x460ba61a, 0x1eac49f8, 0xb4efc5b8, 0xc976dea4, 0xa44c36de, 0x8079a26f, 0x1417230a,
+    0xa814b836, 0xd135459d, 0xb4bd688b, 0xb9377ca4, 0xdc07094c, 0x1082c3b8, 0x021d342e, 0x19693159,
+    0xfe6a95db, 0xe8ca161e, 0xb0e583f6, 0x816942eb, 0x1c2d66ae, 0x8812e20b, 0xcf3b9b6e, 0xaf0b1557,
+    0xe8bde9b9, 0x79ff6840, 0xdae6055f, 0xedb10a96, 0x10b5f256, 0x314bb079, 0x56debd36, 0x3b26b680,
+    0x75c163e0, 0xc6b862dc, 0x59c5096f, 0xdbcf2ff7, 0x2561ded1, 0xe7f64bb7, 0xe3b1c194, 0xd3e74463,
+    0x4ee19194, 0xdd4b59ec, 0xd506a9e5, 0x7de89d09, 0x26702869, 0x67105f20, 0xb2cd859c, 0x62aeb859,
+    0x025977fb, 0xd7b99f01, 0x0e0c0fd3, 0xfd9be428, 0xc04fdfb1, 0x1fbd7a5f, 0x0e981061, 0x90a65455,
+    0x862622b2, 0xb46a45e7, 0xaa621505, 0xfe103da0, 0x82e19246, 0x85f74bcb, 0xaf887bab, 0x70224d5d,
+    0x4827f6f6, 0x5a84639e, 0x40df530a, 0x5d975116, 0xc3cafc0e, 0x785f3e8b, 0x8ce49f82, 0xc5f31173,
+    0xfde5a635, 0x052f21dd, 0x396e67bc, 0xed43efac, 0x24a4314f, 0xbf3ee7ee, 0xe3ed684f, 0x60243250,
+    0x1c5d87c4, 0x9a995dfc, 0x13d031ab, 0x82684390, 0xe2c03b35, 0x906002b0, 0xf520fbbe, 0xd50c18f9,
+    0xa4937441, 0x545e11ae, 0x7b85101d, 0x6f4a3297, 0xe460e330, 0x14459d12, 0x4c778ce4, 0x0056293c,
+    0xe770dbb8, 0x393bc1c6, 0xdcb9327b, 0x98a5935f, 0x46f2d898, 0x8c04c43b, 0xea58cb8c, 0x494dba74,
+    0x79269d6e, 0x26278602, 0x80301f55, 0x010522d5, 0x74742a2f, 0x7306a9a9, 0x4c13213a, 0x7b05df08,
+    0x22269ac5, 0x9ac8f4c7, 0x382494fb, 0x48fa847e, 0xe3b7a76f, 0x886aa036, 0xf909f825, 0x35952f79,
+    0xf236730a, 0x465a5c4a, 0x77e6c1ae, 0xd1d040a9, 0x45f1ed0a, 0x0d2751d7, 0xd531a51c, 0xf388704a,
+    0x57186667, 0xdb0951ab, 0x95a60383, 0x214c552f, 0x8b8b90cf, 0xaeef05d8, 0x816ed26a, 0x8d2a5248,
+    0x58bc67ac, 0x8fabc204, 0xa4291291, 0x4e5503a1, 0x84c28bc6, 0x7281352c, 0x1002674d, 0xf53d3fbc,
+    0xddcd2e7a, 0x055c9089, 0xe6165bd1, 0xc6c41492, 0x0c56882a, 0xbb38dbc4, 0x4f66b727, 0xf645de8d,
+    0xee35c0c4, 0xd2728c3f, 0xd0a586e6, 0xa5759c45, 0x58f3133c, 0x4ba0a7ae, 0x41979def, 0x4af61bb2,
+    0x9402bdb8, 0xe1b8009a, 0xfc90411a, 0x5f4a8bd9, 0x23f5a1ee, 0x12f82472, 0x9d3a3393, 0xb4599699,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000045869972319801430232216417906\
+                          04173881593129978336562247475177678773845752176969616140037106220251373109248 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900,
+    0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537f, 0x7d187a62, 0xf99af021, 0x622ae0c5, 0xc1db4153,
+    0x00000000,
+    0xc372ae04, 0xe6ce7565, 0x272eefb5, 0xb42c84a0, 0x235fd5ea, 0xc07e1418, 0x6b73e2ea, 0x88abdaff,
+    0xf4e2d614, 0xd742150d, 0x10c415da, 0x5db27311, 0x8840f855, 0x9ea22c41, 0xd20ca058, 0x1e9654cd,
+    0x6b9ebb0d, 0x2de137b8, 0x644d0978, 0x1a295dae, 0xe72be26c, 0xd1e01eec, 0xc0043507, 0x3a2b7639,
+    0xde4211d8, 0x0a77086c, 0x0b4f1114, 0xa5087e8f, 0x9189584c, 0x48b21c24, 0xde2a5d61, 0xcc2ab47e,
+    0x9097db0a, 0x5764a396, 0x668236b4, 0x4e042e85, 0x31956b74, 0xe158a56a, 0x12f65908, 0xe8cd91cd,
+    0x98fe9e60, 0x4201fd59, 0x5ecb310b, 0xff428e6c, 0x2707e0e0, 0x3ad85aa7, 0x425d3dc2, 0x1c8c515d,
+    0x6c3b1848, 0x388839a2, 0x6633a7c4, 0x1796564f, 0x300ea321, 0xf490afa4, 0x1baa86b2, 0x6796bab1,
+    0x9ec52dac, 0x8fcf687c, 0x8e796137, 0xc03e585b, 0xc061e121, 0x5436af33, 0x97d83356, 0xf9049335,
+    0x933e8091, 0x35da7927, 0x9f904dba, 0x039e3de8, 0x3ca19a18, 0x734f7a27, 0x0cd66daa, 0x1db95a51,
+    0xa2e54dd2, 0x931c9ff4, 0x9a04f53d, 0x88ec4f93, 0x7e4c9dcf, 0xd247348a, 0x8e2d633c, 0x1e64ff9b,
+    0x371512df, 0x6d264bb9, 0xbdc8c855, 0xca5f6091, 0x9abb14ae, 0xa2ad59db, 0xf91bc692, 0x20730e18,
+    0x6a83b32a, 0xbe1ae188, 0x712675b9, 0x95688dbf, 0x5558a21d, 0xe60a60cf, 0x57c540e3, 0x7e50e9fa,
+    0x296c6cd8, 0x508ae606, 0x6773c9a0, 0x2d59df04, 0x797f6767, 0xb5f0dc17, 0xfaae72b5, 0x794c9f58,
+    0x924373b3, 0x30a0149a, 0x9412693d, 0x2a3870b2, 0xc6a64d91, 0x9b1404ba, 0xafd14454, 0x38e8292d,
+    0x8e1ba82d, 0xa13f22d7, 0x433de1c8, 0xa8d4c9fd, 0xd621747c, 0x97c9320d, 0x9031908a, 0x2c13e601,
+    0xbc3aa7ad, 0x8d1aa848, 0x8a80d4eb, 0x0964758d, 0xdfe0dbe7, 0x4cba0fda, 0xf0d0cc77, 0xde0f8e91,
+    0x5bd0bf46, 0xd8ccb4fd, 0xa1fdbcb1, 0x227f01f5, 0xd26d5393, 0xebc8ae75, 0xdcf752ff, 0x9bd8a17d,
+    0x2db4a010, 0xe7378dcc, 0x3bb3deaf, 0xb39d757c, 0xb20d1066, 0x264bcd3a, 0xeab7716d, 0x8f0d785d,
+    0x9a0b48a6, 0x1a91b7a8, 0x24068acc, 0x52993954, 0xb0651887, 0xee1ee92f, 0x5e99873d, 0xc41aff07,
+    0x2a2f8cdf, 0x8c783fe6, 0xd7b3a679, 0x559f3454, 0x4fa4dfeb, 0x7d7831d8, 0xc822162a, 0x07bcdf95,
+    0xb8942264, 0xeba8d9e3, 0x7c7fa488, 0x792585ea, 0x835e3a3b, 0x721dad61, 0x0f7b6c78, 0xca57f788,
+    0x607af7d1, 0xc12b33d1, 0x6a94a65e, 0xf2e2f855, 0x22ee9753, 0xbb70690f, 0xe09f9478, 0xdafa51a9,
+    0xe6fa39ec, 0x89b4ed18, 0x0dd16278, 0x039a7880, 0x32867ada, 0xa40521d2, 0x354e498f, 0x70137f53,
+    0x5fd41b8b, 0x346af54a, 0x46d0ed94, 0xb8525f4d, 0x3ea71fd1, 0x1b732eef, 0xc2bf8535, 0xfb2db853,
+    0x6bef9c1a, 0x69cff9a2, 0x0c0e9c56, 0x340abfc1, 0xaa9e97ac, 0xa57899ed, 0xe12f1024, 0x6de98a18,
+    0x89acf5de, 0x16b394bf, 0x13cdebb0, 0xe9b4f6c3, 0x9d55d287, 0x59364bc2, 0xcee7b1f4, 0xdc88f389,
+    0xb989fea8, 0x6e59a7f6, 0xc326cd83, 0x3616cf2f, 0xdd732809, 0x68d846ab, 0xd04bc9f4, 0x098aadaf,
+    0x380d8fed, 0x8ad05e3a, 0x16873a6c, 0xee34806d, 0x9447f0a1, 0x194dbd11, 0xda80498b, 0x2ed44f18,
+    0xafbdb7e8, 0x05f19727, 0xc2c0642c, 0x722a37bb, 0xbf4208cc, 0x21d04aed, 0x4ce74688, 0x07c7d0b9,
+    0xad91a17a, 0xe7c5dc63, 0x705b6d10, 0xb7a4cd3e, 0xffc0c847, 0x04b550c8, 0xee17d033, 0xa35e0833,
+    0x128573b7, 0xd10d701e, 0x2dab8994, 0xa0da0610, 0x5a4b07ee, 0x30b039d2, 0x2ff84c14, 0x8e1521b3,
+    0x3793ed44, 0xbe313442, 0x668fe959, 0x57e58406, 0x9a8b0c9b, 0x392bbe6f, 0xcbe280c0, 0xf8af492b,
+    0xfe42bbb2, 0x1f421817, 0x11a01a1f, 0xdb198d7b, 0xbf1f8f6a, 0x22e9b589, 0x34a59cd8, 0x156fbc7a,
+    0x2d6cd091, 0x35b03d05, 0x793ae1f3, 0x4e173f2f, 0x663e9ff6, 0x765531c8, 0x396b3efe, 0xa310859d,
+    0xedc4c7cf, 0x484613fc, 0xd8432f6e, 0x87ff601c, 0x6d438cc9, 0x55a125d4, 0x8452f75d, 0x9b7c8d09,
+    0x5351947b, 0x930e6d79, 0x5c4ef748, 0x857ff0b4, 0x73c23a34, 0x6cb7c926, 0x08629ba8, 0xdc813a5d,
+    0x33081bcf, 0x0ae17585, 0x632d123c, 0x6400794e, 0x022e3872, 0xf1da51bd, 0xe92784a2, 0x195acea5,
+    0x842490df, 0x99a0d5a0, 0xbf5e165b, 0x0cdd3eea, 0x44f87b67, 0xc2352c35, 0x571b8b23, 0x1653a9cd,
+    0xa7f9f727, 0x8d681005, 0x781a5e96, 0xf425dd9a, 0x90b5a52d, 0x843b1d7f, 0x9e34086c, 0xa14288df,
+    0x56d99793, 0x061a8cdf, 0x662c22ba, 0x8017018d, 0x11656c56, 0x75ee79ee, 0x2c586590, 0x5edefed5,
+    0x87f31efc, 0x0836d3e5, 0x68f1487f, 0x93d8738f, 0x2c09d00d, 0xc3c9f324, 0x382b7834, 0x7a2c69a2,
+    0xd7ddd989, 0xf1e3f1bb, 0xc68f8ab9, 0x4d61e9f3, 0x28a725b1, 0x05fe92be, 0x2f789c2a, 0xfac53bfa,
+    0x80e64399, 0xda4c3894, 0x32db01d1, 0xeb128930, 0x381a426d, 0x50ec5476, 0x0ef9d9e9, 0x151cb8a9,
+    0x9d9054ed, 0x4744b467, 0x7d6d943c, 0x3bcce602, 0x3c591e4f, 0x1bb5777e, 0x04fcefd0, 0x9eae6c1b,
+    0x7f4dd698, 0xf15662de, 0xc2bbf598, 0xbc91039d, 0x9cf94071, 0xcc4e5916, 0x799967cc, 0x5b427283,
+    0xedae5514, 0x175c4e7f, 0x2c539a6c, 0x7cfc1923, 0x44592482, 0xfa923014, 0x8753edeb, 0x8a16af47,
+    0x93048f8a, 0xbf2b9610, 0x7607631b, 0xea186006, 0x649eb2bd, 0x31658ed3, 0xa7da769b, 0x0446dacb,
+    0xa795963c, 0x9641c1c8, 0xe997b0b9, 0x02c4bc47, 0xf3f9ccc5, 0x6956a767, 0x03336a28, 0x713d3c8c,
+    0x679a6919, 0xef89b649, 0x47516147, 0xaa49b0b3, 0xaeb37837, 0xb58ef5c1, 0x3e6b171f, 0xb44cd717,
+    0x52d03a11, 0xb8880364, 0xaad827e5, 0xd01c26a8, 0xbad9c273, 0x12717ee1, 0x00815ef0, 0x9d4be8e7,
+    0xd62e7cd8, 0x5ab44d08, 0x9759d0a3, 0xa791bd96, 0xb6ffab12, 0xb2371b49, 0xa232c034, 0x87448cc0,
+    0x16671d88, 0x12184ef7, 0xcb667834, 0xe4d4611e, 0xf3e6d941, 0x8de41cf3, 0x135b557a, 0x6b9605c5,
+    0xe7440a79, 0x2569d5da, 0x119d2d01, 0x1cb7a061, 0xa0f8ec09, 0x11895785, 0xb82de3ed, 0x717103ab,
+    0x393df493, 0x69003089, 0x805d4443, 0xfa4c9a75, 0x731bf2af, 0x6686999a, 0x0e9210bf, 0x4016522d,
+    0x1bd85223, 0xa807967e, 0x43120660, 0xc8cdcf62, 0x480b2119, 0x9e155827, 0xb613e998, 0xde9f2c0d,
+    0x0673b836, 0x8b8f8f72, 0x9dd7434d, 0x10c25729, 0x4910c27e, 0x7306c871, 0xd45d749d, 0xaa7863bd,
+    0xad1a0d97, 0x9c5ee415, 0x82fec6fa, 0xcc302342, 0xb89024b2, 0xe8097d25, 0xf2fa70ee, 0x947b010d,
+    0xe7441388, 0x101ad2e0, 0xff6c7e96, 0xb6f40775, 0xcc19247f, 0x64030be3, 0xc593907d, 0x6a3b5403,
+    0x0be6dcc5, 0xe6a69295, 0x5c82bb94, 0xd93f657d, 0x652fedb1, 0xb75bfec9, 0x44ece317, 0xabe5b9a3,
+    0x0d10911f, 0x4c94498a, 0x5ad23853, 0x35787973, 0xda7dbb82, 0x95236af7, 0x99f6dc3e, 0xb2c6cdbc,
+    0xea3eac1f, 0x567b126d, 0x417f147e, 0x46252f5a, 0x140a6222, 0xe57766ba, 0xe8508736, 0xbd0b1aa4,
+    0xb18dd981, 0xfa494d64, 0x7b94cbd7, 0x2103beb9, 0x1eb881a0, 0xad4acd2c, 0xb5a68d63, 0xba95bb46,
+    0x2aee4270, 0x3999bea1, 0x03ce0bed, 0x9a9228fd, 0x0242b265, 0x9275598c, 0x5b06d793, 0x83ee788c,
+    0xaae5f370, 0x8307a8d9, 0x5108f32c, 0x680b39bc, 0xcba156b0, 0x5dd3d597, 0xa07e4dd2, 0x6a5b3601,
+    0x50fc93a0, 0x643b2421, 0xb4c7cc78, 0x36b7ac42, 0xba129452, 0x0a5210f0, 0xc9aeaf24, 0xb7caffb7,
+    0xd1ba8b60, 0x8ea8dea9, 0xf73b5d9f, 0x58653a82, 0x22a1ba30, 0x99977fdf, 0x1db11938, 0xab4a9e27,
+    0xe47d5ef2, 0xbd90fd43, 0x4687140c, 0x5208fbcf, 0x6488edab, 0x0f05058c, 0x7f8b4a25, 0xa748b55b,
+    0xefbe0d75, 0xad595c40, 0x468b3e4b, 0x5b3cb1d4, 0xc1e46db5, 0xe3d28955, 0xeed56e0e, 0x7d1ec6ae,
+    0x7a87bae4, 0x78a83083, 0x96713d52, 0x22dde54e, 0xc5dba51a, 0x3de2510d, 0x0c95d122, 0x60f4a46b,
+    0x5d861844, 0x98f5aacc, 0xf3119b85, 0x4d73a476, 0xe2719f74, 0x4ac5156b, 0xc8c4fcf6, 0xf87b4601,
+    0xdb5dd2db, 0x41aa937c, 0x923e5210, 0x29bbbbd5, 0xc4bce2f7, 0xd0ef2662, 0x2a7633b7, 0x2a08466b,
+    0xdd6ab658, 0x991fe038, 0x6bfa1d0b, 0xf6da3afe, 0xac6d0c48, 0xb51e515c, 0x8b118cb0, 0xcdeb2d57,
+    0x9ce1174f, 0xcf2e88d0, 0x26cc2f69, 0x9f9ca988, 0x250ed5a5, 0xef5218f9, 0x839265ae, 0x600bfe1d,
+    0x56cdbdb8, 0x476bf891, 0xa2852487, 0x1e2345d0, 0xa1834f43, 0xeafdc9d9, 0x3de4b872, 0xf92f647f,
+    0xc44d7293, 0x4e21e400, 0xc9f93c9e, 0x15488f7c, 0x9b714cef, 0x43a835c5, 0xf59ec23d, 0xa75fe478,
+    0x9f574805, 0xc739ef63, 0x0ec6691a, 0xb14497c7, 0x8378cfc1, 0x255b2979, 0x542aaf89, 0x65fa03e4,
+    0x43c417c8, 0x40289553, 0xbe341255, 0x8bfd7b6c, 0x15beec7d, 0x3e563a9c, 0x9af497a0, 0x620a295e,
+    0x7245e0cc, 0x6cc0d2d4, 0x3b872471, 0x5392cfc4, 0xe66615e2, 0x26cee0aa, 0xe29716ba, 0xfaf6b2a7,
+    0xd1734ae8, 0x5282f4a0, 0xd14f61bf, 0xee028be5, 0x10a11daf, 0x9eba57c3, 0x167a4fe6, 0xdd6a2595,
+    0x86219c06, 0x5faa058f, 0x030ef477, 0x73b88bd0, 0xa25ea003, 0x667fd2ee, 0xbfc4c3c1, 0x6e10d5ae,
+    0x98512537, 0x4455e2c8, 0x6ed3f091, 0x367c805a, 0x0103338a, 0x639bd742, 0x03da27b4, 0x0bf3be13,
+    0xc0879c14, 0xdad98151, 0x640f7cce, 0xf47a00c5, 0x9ef2891a, 0x6534a748, 0x9ff59260, 0xf87f8015,
+    0xd78cdf0f, 0xc152ea88, 0x35184eee, 0x133d95f3, 0x0787dac2, 0x4d4502f6, 0x1bc03031, 0x1e76df50,
+    0x8a24f2dd, 0xbd71c0ab, 0x6f2d24f4, 0xf9fd35bd, 0xee460875, 0x69414f26, 0x83a8563d, 0xb5f5b841,
+    0x6d03c6e1, 0x2dd3a82d, 0x09272216, 0xafcd975f, 0x851ce45c, 0xf826e417, 0xac06b400, 0xcb322f4e,
+    0x214e91f2, 0xc0ef81dd, 0x2866cac2, 0xc7c98dfd, 0x47fdccb4, 0xc3f39b28, 0xaead8fa1, 0xe5ba0c7d,
+    0xb38c24d9, 0x27b4146b, 0x4c08d430, 0xa32ad6d3, 0xa62aef88, 0x30889eb9, 0x4aad6ce0, 0x03997cbc,
+    0xfc37a234, 0x56a73515, 0xafa64957, 0x93721e24, 0x4c729570, 0x2fa2bd5a, 0x44fb1edf, 0x79e33a5f,
+    0xebcf7744, 0xe9641991, 0x2fcdaa95, 0xf3e49457, 0x3d83643b, 0xbef504e1, 0xb442294d, 0x71269ec0,
+    0x56c1d469, 0x6ce8181f, 0xa263eb08, 0x273eaead, 0x1150e987, 0x73cd72c9, 0x7685786a, 0x2f75d7e1,
+    0x5f3e6815, 0x84828fd1, 0xa65e07f5, 0x9fb5a284, 0x944d4bf8, 0x81b4760a, 0x3be1adea, 0xcdf47150,
+    0x13ff4c79, 0x0c04dbc1, 0x387d6c28, 0x1ff5360e, 0xbcfb53d6, 0xa07dbeb8, 0x4a1d0cc2, 0xc4fc1622,
+    0xc4f44ba0, 0x09abc468, 0x4b87ef87, 0x94c475d4, 0xeefe18a8, 0xf86aca39, 0x743e153c, 0x6b80d30f,
+    0x179860bf, 0x668ec67b, 0x8dd1ba58, 0x660d29bb, 0xb131c54e, 0x99b90a93, 0xbc14c749, 0x18d19b42,
+    0xdbff8676, 0x94a2ab23, 0x07c95cd8, 0x06e3dfbd, 0xac0b155f, 0x8e54053a, 0x4d05b498, 0xac617b74,
+    0xd3b96a09, 0x2bf4f213, 0x8ee0f2da, 0xe6066a2f, 0xcd757948, 0xa5d2c181, 0x951d34ad, 0xd8c4958e,
+    0x616348ce, 0x6421c6ec, 0x1bd65658, 0xb4ecc68c, 0xfa10d56d, 0xb683e976, 0x5a0ce298, 0xe47a3d60,
+    0xd9af1dd8, 0x6dcf6d6f, 0x53ecd754, 0x91f573da, 0x3cf8f8b0, 0x4ed5ea28, 0xb904ea89, 0x90515ad9,
+    0xc7605287, 0xace730c0, 0x5f2e0a44, 0x25e48baf, 0x89e21914, 0x018f44e6, 0xca3572e1, 0x3429fc15,
+    0x014195c8, 0x08a8223a, 0x31db5378, 0xa7fd28b1, 0xd75f9110, 0xd45e6686, 0xf8eb5545, 0x6a2eeaa9,
+    0x7ba4783c, 0x9c3d1e38, 0x6398786b, 0xdb13e9c1, 0xb82eba80, 0xaa90ee19, 0x3a8e382e, 0x4ca5bf45,
+    0xe3a0271d, 0x57ee120c, 0x5a873771, 0x31a3bcd4, 0xa3af0246, 0x2306d73e, 0x12950c35, 0x67f30530,
+    0x9d408a24, 0xfbbfafd8, 0x6d2e7e9d, 0xff8271c1, 0x40537475, 0x8b45c65b, 0xfded38e9, 0xfaec35d9,
+    0x41988cc1, 0x766cc6d3, 0x332b2b7a, 0x41a0aba9, 0xe1d037ea, 0x875fe873, 0x751c049a, 0x544d2733,
+    0x69038af8, 0xb5d66ab6, 0x912a2111, 0x0da38c1f, 0x39afc9be, 0x061e86b6, 0x32e0da4c, 0xf5b938a4,
+    0xc46bd35a, 0x8720bba9, 0x31c4ba56, 0xd48ae7dd, 0x04362190, 0x5f9adc9e, 0x724dcd9a, 0x7a1cf464,
+    0x007f11ed, 0x052c7733, 0xd53c068e, 0xabb0008f, 0xea900fde, 0xa7f293ed, 0xa7fbc608, 0x1dcc303a,
+    0x0168a244, 0x98633bbf, 0x63f9207c, 0x5ef090ab, 0x1af2b6bb, 0x5d93aed9, 0xb775959a, 0xa839ccc4,
+    0x665f1210, 0xdd35c07e, 0xec1928f0, 0xcb6dc810, 0x54d14b80, 0xc960ce42, 0x1547cad9, 0xa8cc7e66,
+    0x6c2cb7f1, 0x72d03748, 0xd20b1e95, 0xce400cbe, 0x6553e7e2, 0x033a5e40, 0x70e7a8bd, 0x78a669ce,
+    0x0c09c7be, 0xeb48299c, 0x750213f1, 0x85f2264b, 0x016825fe, 0x0064a291, 0xdbd2ce81, 0x5c7fe5c3,
+    0x0b12a0a2, 0x135485b6, 0x3c98c0a3, 0x7b2bcfcb, 0xc436086b, 0x2f4c5566, 0xfc7c1156, 0xe1ee2850,
+    0x01500c9d, 0xc006c8c6, 0x6f89e3e4, 0x4659e95c, 0x93342e2e, 0xd26ceeac, 0x38821b1f, 0x13d5a047,
+    0x18ed9586, 0x29a65d4a, 0x2cc58d72, 0xe1642eeb, 0xf1380779, 0x0eaf63bb, 0x5c71f661, 0xaef3bf06,
+    0xe335f803, 0x069e212e, 0x817f4c6a, 0x3e00df65, 0x48f7f373, 0xd28db060, 0x14d8eada, 0xcc2d7e32,
+    0xe3ccbe82, 0xdcef4f2f, 0x96a26d3c, 0x5ff4b758, 0xefbc52db, 0xcf73bb26, 0xb9502af5, 0x11bfa8c3,
+    0x05b1986c, 0xe438c520, 0x4557ac99, 0x5f1511bd, 0xa80c3cf3, 0x32ca5bc3, 0x9b317c39, 0x2a6684c3,
+    0x86240bde, 0xd64d8e91, 0xc4dd7d90, 0xb6c6cab0, 0x262639cb, 0xbe20a841, 0x31a67fd1, 0xf935739f,
+    0x98677079, 0xf074b9eb, 0x2ff05ec6, 0x787ad8c5, 0xe89ebb13, 0xd8d73db4, 0x5b2da3fd, 0xfcd61976,
+    0xc08549ec, 0xc213cbf4, 0x9da41157, 0xac54fcaf, 0x7c43b649, 0xc12a0f54, 0xc87834de, 0x4bdb9088,
+    0x41636db0, 0x948b233e, 0x169d645e, 0x6a44d9ce, 0xf38f592a, 0x9bb955d8, 0x32378fde, 0x7af6c7a9,
+    0x139d3ea3, 0x44af4464, 0xe68064b1, 0x29f04da9, 0xe5cd59eb, 0x88e25599, 0xb5fb52a2, 0xf32fc31f,
+    0xde118833, 0xde21bd70, 0x4e535522, 0x00069de1, 0x0fc2a406, 0x021e68be, 0xaec633db, 0xb2fc9c64,
+    0xee04ecc3, 0x21fb7fa4, 0x548f7f11, 0xb8892758, 0x8b21030c, 0x2ce2ecf9, 0x6183f6f4, 0xca5cae54,
+    0xd694be26, 0x188217cb, 0xbf3c20d7, 0xf65f14ff, 0x6556aaaa, 0x4808c3d8, 0x1e617d67, 0xc798842d,
+    0x62d44649, 0x3eac23b0, 0xbff4c065, 0x49e2741e, 0xdd3a1e3e, 0xa93546f7, 0x6335225b, 0xf6aafb37,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000022934986159900715116108208953\
+                          02086940796564989168281123737588839386922876088484808070018553110125686554624 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480,
+    0x59281259, 0x9349d500, 0xe4262958, 0xb724a9bf, 0xbe8c3d31, 0x7ccd7810, 0xb1157062, 0xe0eda0a9,
+    0x00000000,
+    0x9e2b3062, 0x27ed411f, 0xb45ec45c, 0x4fecf5aa, 0x84b9bdf5, 0x9c80e183, 0xcb56f1d3, 0x5574ea54,
+    0x10876583, 0x68771dd9, 0x82b775f2, 0xc0714688, 0x04987645, 0x1193ea51, 0xe003c972, 0x637dba02,
+    0x5c20850a, 0xe00fe245, 0x4f4d6dc9, 0xe0f5acbe, 0xb715846c, 0xcb633735, 0x6ba11786, 0x0882a4ed,
+    0xb3ee2965, 0x0f3a6026, 0x8a7814a2, 0x29f412ae, 0x80afef3a, 0xd726327f, 0xa0dd8e18, 0xe29c95b1,
+    0x1bf4527e, 0x26128304, 0xfb3fd8ff, 0x267ebae7, 0x9e3dcc65, 0x66fcd9a6, 0x99b388df, 0x988c19f7,
+    0x5e44a246, 0xdb3dd624, 0xd01c31a9, 0x6206bff8, 0xbc617327, 0x9af3b501, 0x0c0ecb97, 0x286590b4,
+    0xcca62c66, 0xb0636441, 0xea582111, 0x920211df, 0x1aa6eacc, 0x19ba6194, 0x43786fc7, 0xfd509566,
+    0x93adb426, 0xa85a19ee, 0xaaa0cc9c, 0xec40840c, 0x5223ba80, 0x291b4316, 0xb9fe447d, 0x9d036de8,
+    0x5d54d666, 0x84704a0a, 0x13dae263, 0x28e2f7d4, 0x30bf23e8, 0xee9df1c2, 0xc092a3dc, 0xb368568d,
+    0x93d1687f, 0x5ac20c43, 0xe402a54a, 0x947e0049, 0x86f9ef1d, 0xa00e504b, 0xde72200c, 0xbb2e1e30,
+    0x7233ece6, 0xa8ac1328, 0xe1beb935, 0xaeae1f81, 0x6fee128f, 0x4a1809e4, 0x50b7bbb2, 0x0a556480,
+    0x6691b68b, 0x18fe7d84, 0xf5283699, 0xb30195b8, 0x24400bfd, 0x4f04f87b, 0x16f33a73, 0x5ff5dfc1,
+    0x8caa3682, 0x00bb319f, 0x396e916b, 0x7ff3043b, 0x51965764, 0x342b9687, 0x0c8fb883, 0xc0b8dabe,
+    0x7d4e3e66, 0x783988b4, 0xa6ebac7b, 0x10fc2d2d, 0x6dc3f30b, 0xf720669c, 0xa11fdcbc, 0xe44b1481,
+    0x5e6f7d47, 0x40613c45, 0x5b7d314b, 0x0e91b103, 0x4d5784a8, 0x0e90d726, 0x426c5880, 0x6f8d6591,
+    0xff86f848, 0xebbb101d, 0x22a78615, 0xb13d0e41, 0xc70ed8ad, 0x5bd39c49, 0x9ff132d0, 0xb8ba6c47,
+    0x2fdd71c1, 0x908e87af, 0x76c00f04, 0xf751cc3c, 0x958a0dbd, 0x0b68596b, 0xb16179fd, 0xdbb7a83c,
+    0x212b7573, 0xe6e0f6aa, 0xd634eb6a, 0xef5d8df3, 0x2d426d62, 0xa4f6f255, 0xdc292044, 0x9c434736,
+    0x7bf2540f, 0xeae84771, 0xbf285ea8, 0x97b3fa70, 0x3eee7a8b, 0xe11698bf, 0x855b3b30, 0xed80bb27,
+    0x116ed0d8, 0xa5e474a3, 0x79682494, 0x8832b50d, 0x58ed2e4b, 0x2f892d54, 0x6ad11a44, 0xc31ed934,
+    0x59b4939e, 0xbf55256d, 0x86b1393f, 0xf5a04e0b, 0x54664ca7, 0x5779c8fb, 0xc9607225, 0x205e6c81,
+    0x4ce42904, 0xebb00a9d, 0x6e95d59e, 0x058b49ee, 0xb30411b4, 0xb30b100e, 0x317570b2, 0x8f57b71e,
+    0x88850339, 0x2c46aca6, 0x16b4cfd9, 0xa1f7a785, 0x6a31f14f, 0x8d001716, 0xbb7813cf, 0xca3dc8b5,
+    0x9f65eeb2, 0x04862813, 0xdf578969, 0x97fe5a0e, 0xbedfe4a0, 0xc97bd1b7, 0x97601ea2, 0x64ee0f17,
+    0xb66891a9, 0x211e8427, 0x5da410b3, 0x0d33b617, 0x5a52c111, 0xef971306, 0x77bc60a0, 0xe958f0c3,
+    0xabc571d6, 0x8697cd22, 0x0d9ecbe2, 0xf240cb65, 0x31c5f828, 0x412a114a, 0xfd924291, 0x92634dba,
+    0x5670d043, 0x84f0b0df, 0x1770d50e, 0x48be4e60, 0x4e618ea1, 0x7882d634, 0xd18ac66a, 0xc24677d6,
+    0x5ff84afb, 0xaff20b02, 0x08165906, 0xb7387b6c, 0x1ab00570, 0xf04fb034, 0xa989bc33, 0xb9b8cf94,
+    0xf576b8ef, 0xf375db4a, 0x0663fe62, 0xdfca79cf, 0x000d1f24, 0x5ecbd475, 0xf38cf074, 0xdbd015be,
+    0xbc012cfa, 0xa6b3fe66, 0x0591dc87, 0x3fcf275f, 0x859d9bea, 0xd4d1c3d9, 0xdd094011, 0x892f6840,
+    0x2b296856, 0x4c382ec0, 0xca31a360, 0x4abd5ea7, 0xd43f4e15, 0x6ca51400, 0x0cde0572, 0x4ac0c127,
+    0xb4088b6a, 0x5155dd6d, 0x752fb67c, 0xea6b2fe9, 0xf7deb955, 0xa2a268e0, 0xa9961015, 0x785f6001,
+    0x63ace34d, 0x6f499cb6, 0x304dda8f, 0xc89119b9, 0xe591bd58, 0x718ac800, 0x9fff3ebf, 0x8f85bc2e,
+    0x02b20b16, 0x8b891757, 0xb8410e42, 0x5e425a5f, 0xaf9f657e, 0x3bb3016e, 0x4dcd3a2a, 0x4d293916,
+    0xfa30ceaf, 0x1d548984, 0xa49d5aca, 0xabd2329b, 0x98c044df, 0x2511211f, 0x7cd30d06, 0x014687bf,
+    0x2d46fcca, 0xf28681ab, 0xd4ce8b45, 0x88483e69, 0x06c007ab, 0xa90f1b78, 0x58ea94df, 0x2ef74eb1,
+    0x2007e322, 0xacc4c9e1, 0x4c00658a, 0x48e2b6f3, 0x36174bd8, 0x88b59c0a, 0x67e7a955, 0xdc0d6f05,
+    0x6b0cb963, 0x5462a3c9, 0xc7787804, 0xbb38ec9d, 0xd786bdd5, 0x998e0197, 0x72272008, 0xebb54dcf,
+    0x2d26697f, 0xe05f7e6b, 0xe994fc1e, 0xdccb633f, 0xa13cecfe, 0x2ea79701, 0x558574e8, 0x91975a65,
+    0x57f7b57a, 0xffd69a21, 0x1b724169, 0x05548a40, 0xd1f97172, 0x888ee59f, 0x2337b4a2, 0x11aa7753,
+    0x1577a4ff, 0x7fb694e9, 0xd8057774, 0xaede2abc, 0x988258d4, 0xeba1b249, 0x9f051121, 0xa5f72dd8,
+    0x0a29b5e2, 0x217b3b26, 0x3fc6d09f, 0x7c86e329, 0x44871a9c, 0x01aae1b7, 0x0eb892d4, 0x6e4bb41f,
+    0x71979e37, 0x05b71702, 0x32807403, 0x83207e4c, 0xa5b20b99, 0xe6cbbd20, 0x12f09e9c, 0x22b5f2d7,
+    0x735202e1, 0x3b58549e, 0xb5bcb197, 0x0ceb515f, 0xe7e9ac8c, 0x179e3e86, 0x45a50b5e, 0xd6eb6653,
+    0xa06b0026, 0xb39a5119, 0x40838b40, 0x52efb10e, 0xcc3c4c39, 0x76129278, 0xdb101093, 0x75bf1330,
+    0x14c8a7f3, 0xb81b4b82, 0xae377002, 0xcc7845c8, 0x803d44f5, 0x5ffac236, 0x369c275a, 0xdf4bbde6,
+    0xf31792d0, 0x808c4433, 0x28018ab3, 0x5eaaa855, 0x87e7617b, 0x808a74b0, 0x30ac7e83, 0xb5bdcebd,
+    0x8bff4e93, 0xb24f32c4, 0x9ce9f560, 0xd5b3e8a7, 0x7b1f5d1b, 0x44a98e7b, 0xc478dfcb, 0xb6a8f0a4,
+    0x5bbbaf93, 0x6b3834f2, 0x8d1ee72f, 0x9f2ed3a2, 0x41558fcb, 0x605a9c83, 0x72d3d3b5, 0x8ac82cf4,
+    0x7d5ffbe4, 0x8794358e, 0x6aa02716, 0x2253e029, 0xc7e8d2d5, 0xc9877c61, 0xd49c81d8, 0x5822e39a,
+    0x9b6020b0, 0x4bdabbae, 0xd79870ae, 0xa7ef619c, 0xb78f3f69, 0x2fbbb1f3, 0xfd3f3e82, 0x6f25f1fe,
+    0x807c4d42, 0xbab36f21, 0x279ac298, 0x70f27eb6, 0xe64a52cd, 0xa61cb168, 0xeb60b30e, 0xf51e1b97,
+    0xc129cf74, 0xa05edc47, 0xf2371f04, 0x6b32e6b8, 0x10e0e8d8, 0xbe60b6a2, 0x6b30af64, 0x2916a4d4,
+    0x8ac4cd48, 0x9d507b79, 0x9a8b4ed2, 0x9d62fd2a, 0xd899a777, 0x1e5089f4, 0x65e1a03a, 0xbca28103,
+    0xba4c2f61, 0x001491d3, 0xf84e0a28, 0xb44e071c, 0xf914afd5, 0xa37cc5fc, 0x9c2c9d30, 0xda571909,
+    0xd31c9ca9, 0x75d211ae, 0x2023e402, 0x27e35027, 0x47a44dd1, 0x58364859, 0x7d211f2c, 0x83a11957,
+    0xb0c58320, 0x47e342e4, 0xb45fa109, 0x09ada872, 0x15ce3b4d, 0x19a5345a, 0xabd0f186, 0x5e4761a1,
+    0x165e9c79, 0x7ca3398f, 0xe2b4f03b, 0xd05bbc5d, 0x71b29b69, 0x618f82a5, 0xf80d083a, 0x072292b1,
+    0xefae8f39, 0x8cf7cd9e, 0x560263f8, 0xd545109d, 0x5bac5c2c, 0x0cc1a2d9, 0x58e76507, 0x50c9b89a,
+    0xde13aa20, 0x6b1839ab, 0xb4cd8522, 0x3462f52e, 0xc3c34aa0, 0xb4d0298c, 0xa8f1e68f, 0x9d1dff0b,
+    0x555fe987, 0x70a7c358, 0xa5231a62, 0xf350abbb, 0xc6be240b, 0xffc0e982, 0x4ef10d6a, 0x902c5132,
+    0x31ea3e0b, 0x9258e7fd, 0xe042c902, 0x8289cfcb, 0x63ae5965, 0x417b3703, 0x62850d85, 0x8a6c9cc3,
+    0xdcb98b99, 0x34fa7359, 0xf35b4504, 0x64079444, 0x43272221, 0x299c69e4, 0x9103e66e, 0x86e60303,
+    0xb439f490, 0x36195e71, 0xf54280e2, 0x1b66c299, 0x9f493cba, 0xd4e9e49f, 0xc6b48fde, 0x09da67ab,
+    0x741ed237, 0x594b3851, 0x1e1dfa16, 0xf1a06b1f, 0xe1db2b8d, 0x430cf9a5, 0xff84be7b, 0xe3f98915,
+    0x2da3dc6a, 0x413e157c, 0x6c015c10, 0xb8671a2b, 0x1a2815a4, 0x599b5105, 0xcb014477, 0x90b65d58,
+    0xc1c33a1e, 0x7de2a6a7, 0x7683dcd0, 0xa5253bdb, 0xbc5f77d1, 0xdd841332, 0x2ec533e7, 0x7426a5c2,
+    0x91675961, 0x3121fb05, 0x2366abdf, 0x2605fbf9, 0x6683aa09, 0x9286eccc, 0x41085159, 0x0295590a,
+    0x3464f30c, 0x71986d53, 0xe02d248a, 0x0d0b304c, 0x6f9cbd72, 0x1a37a783, 0xa7f99f52, 0x816fa18b,
+    0x5c65ab2c, 0x280d99eb, 0x280ca543, 0xc5fa9f38, 0x60bd0d7a, 0xc7be4853, 0xc66d4aba, 0x84d24e85,
+    0x62b06b42, 0xc5fdaa8f, 0x0adc3ecc, 0x0c04209e, 0x1b5c0519, 0x3b6d36ef, 0x11304288, 0x06fde3d1,
+    0x4fd39147, 0xeb2a54a0, 0xf9582fbd, 0x75fcbc78, 0x14742227, 0x7634087d, 0x92eda2f4, 0xcc0e2d5c,
+    0x878023e9, 0x8eb601ca, 0x4ff59983, 0x72e8c409, 0xccc9e1c9, 0x25ebdcc9, 0x857195c8, 0xe2e39d9d,
+    0xf521b25b, 0x26e84620, 0x0770a8ae, 0x9d8e386d, 0x468e114c, 0x10570912, 0x9a64407d, 0xbde49397,
+    0xd48b558f, 0xb55f7254, 0x086f4af7, 0x510eb2a2, 0xc965617f, 0xcf5e2d3f, 0xd4a9c322, 0x5c76e48b,
+    0x6d293ae7, 0x32cbb9a3, 0x2fd49d94, 0x5ae4ddef, 0x613dbdd6, 0xac7f702f, 0xeed6a4d8, 0xd19b44c8,
+    0xb347cc9b, 0xfbcd8137, 0x9e6ce111, 0x398c8e53, 0xfdcf7b03, 0x3b14e18d, 0x6d620366, 0x3933f08b,
+    0x87ce22b3, 0x8add9b0f, 0xc1629711, 0x76b9dfe7, 0xd1902dae, 0x7173591f, 0x1296dbaf, 0xea59feb3,
+    0xea5c9044, 0x5bdd19b8, 0x578903aa, 0xe6b5c21a, 0x7cf47bd6, 0x48720ac6, 0x97695b95, 0xb2a8f403,
+    0x9e429b54, 0xda3a4412, 0x4d073405, 0x419fe1d7, 0xa9d88ab9, 0x60a6e051, 0x75e5b1f7, 0x152df5b8,
+    0x786ffcf3, 0x9e87bab6, 0x209f2052, 0xe872e567, 0x2c9d1443, 0x3158d95f, 0xffa975bb, 0xebde4037,
+    0xb3388e26, 0x3fe40c46, 0xa9c31edb, 0x0b22afba, 0x24396876, 0x424a5dcb, 0xa6bbe222, 0xc8899cb7,
+    0x4c8d9557, 0x6fb35692, 0x54316a81, 0xf0aa0a0a, 0x8d1485ff, 0x1e4c38b2, 0xc54f5d0e, 0xc59853de,
+    0x3cb6c810, 0xfd1a1ee1, 0xd67ddb1e, 0xbe3a6cff, 0x63fc7ddc, 0xe81e0b14, 0x31f5ec22, 0x8866c26e,
+    0x038d241a, 0xef2ebebf, 0x38dc7fa3, 0x749e2ce6, 0xed866be3, 0x49bae06f, 0x0a8a3f57, 0x2fb434ea,
+    0xa39930ee, 0xe8f1b78a, 0xa6a14f70, 0x378e6cef, 0x5dd00440, 0x48ada1d5, 0xaa24e788, 0x4247fc43,
+    0x616c40a4, 0x4b84ae80, 0x8f1577c7, 0x225f5380, 0xadcc4834, 0x50edd34b, 0x670d9600, 0x35da8432,
+    0x1633f2b5, 0x02bc4ca0, 0x7b650f69, 0xe24f4cba, 0x60ee67c9, 0x2b92f688, 0x293e5106, 0x11a79beb,
+    0x0eabdcab, 0x61c24d57, 0x3efc420d, 0x02d743c4, 0xb6840e47, 0xcb8c1b55, 0x565e3e03, 0xb4d1ba8b,
+    0xab4937bf, 0x90a01902, 0xcff0ab3f, 0x0ed97231, 0xf7fc22f4, 0xd83a236f, 0xc84c8474, 0x4954e688,
+    0xdcf5cdef, 0x5d4a5a05, 0x44427e24, 0x8f84c56d, 0x43207a61, 0xff99846f, 0xc7d31eb0, 0xe31e6b52,
+    0x9e622d29, 0x00ef131e, 0x54508922, 0xd7016ce9, 0x09f7867e, 0xc4ad137c, 0x967477fa, 0xa1ac4257,
+    0x5b08898a, 0xafdfc522, 0xe868b081, 0x005307bf, 0xc098ad06, 0x88e36e3f, 0x342f303e, 0x8a258380,
+    0xd668bbc4, 0xe187b7af, 0x8d8e3680, 0x0e9351e6, 0x4c96db21, 0x17e29d31, 0x2e0bbb4c, 0x53273b64,
+    0xff88dbc1, 0x109a047f, 0x17c42ea8, 0x5338b334, 0xd1e22fdd, 0xfb0625b1, 0x172fa198, 0x092b9e83,
+    0x2882abeb, 0x95ac229c, 0x47bc0815, 0xf87f5940, 0x40d1330f, 0x77ce6125, 0xdf785958, 0xc2b53411,
+    0x677fb15c, 0x1e798c4b, 0x379e7ce2, 0x398a7ef9, 0x633b169f, 0xb6497b2b, 0x435d804f, 0xc74fb50f,
+    0xc8ef6816, 0xad27bc2c, 0xb2976502, 0x4816e076, 0xe4d45b3a, 0x42cc5d11, 0x2b0c61bf, 0x44e7bcc1,
+    0x23c49e37, 0x6ce24e7b, 0x34b575ed, 0xba339b8f, 0x7f316aa6, 0xf00214c6, 0x0abb106b, 0xdbc76e0a,
+    0x9578cb0e, 0x5e547322, 0x3e351e83, 0x36ff9fe5, 0x935bf56a, 0xcf31d3bf, 0x31287de1, 0x3ddc452f,
+    0x2102524a, 0x647dc4bd, 0x86b0bd1b, 0xd0b69fa5, 0x2dcc3577, 0x8f210386, 0x6e3c6643, 0xbb81413d,
+    0x6ff6410a, 0x8729cd10, 0x9aead5c6, 0x2c70018b, 0xd58c0290, 0x40ab76a8, 0x3f27c1ad, 0x6197c5a1,
+    0x731e56f0, 0x0728819a, 0x2d28f600, 0x8f9cb6de, 0x6954e635, 0xf0a3d717, 0xcfc0dddf, 0xf522103a,
+    0xe3159dcd, 0x847f7b5b, 0x373e0a46, 0x90ea8ae4, 0xb66a4be3, 0x798dc684, 0x4b54e09a, 0x68e2e945,
+    0x46cb46e7, 0x2114c1fa, 0x89d8b0bd, 0x5625d5ac, 0xae1aeff3, 0x58b90c5c, 0x8068d091, 0x086df6dd,
+    0x63e2adc4, 0xd010890e, 0x44489205, 0x44dae1f4, 0x8692770f, 0xd294255b, 0xfbd3d956, 0x6929ec2f,
+    0x7d9948cd, 0x1adc37cd, 0xf8e62f9c, 0x687f1178, 0x85ca7876, 0xffda2907, 0x837291c9, 0x20f569b4,
+    0x10e7683b, 0xf9b98f0e, 0x8fd603c0, 0x57a54f53, 0x1b62782d, 0x0522420a, 0xefd49e1e, 0x43410670,
+    0xef6e4a25, 0xbd209f34, 0x3f0766e8, 0x17b45f42, 0x47c08f55, 0x663bdda3, 0x452685c1, 0x75a04648,
+    0x8cbc4726, 0x62efbf49, 0x5b1eb638, 0x7692bf98, 0x552c2d1a, 0xb3c049de, 0x9458e5ee, 0xf0d7b4c7,
+    0xacb2d720, 0x96bdee5b, 0xf2b45459, 0xc3c13725, 0xd42f993d, 0xf256a589, 0xe87c5154, 0xb7467ba2,
+    0x4735071b, 0x24051731, 0x1c393f9d, 0x16bcec9d, 0xfc1dde5c, 0x09c63b11, 0x7a731248, 0x6463b804,
+    0x009bfe82, 0xcff312c7, 0xc191c1f8, 0x2157278e, 0x021096d3, 0xe619c2c8, 0xbfa143ca, 0xf2761b9b,
+    0x474ddd97, 0xa1030a88, 0x45d7dc3e, 0x87785eb2, 0x2e4fd4cd, 0x125856c5, 0xfd425ca8, 0x60b1b7f9,
+    0x1f3bd002, 0x526d0289, 0x4c0792ee, 0x96794caf, 0x9805ae7b, 0x22ff5d5a, 0x69d1f4b0, 0xf948713e,
+    0x9d0af032, 0xc7c7423b, 0x5191f357, 0xee45becf, 0xbdd4864e, 0x100bba03, 0xec5a8fe4, 0x72ba0f08,
+    0xc38c3459, 0x08bbb32c, 0xdc2b007a, 0x3e64d18b, 0xb5dda46a, 0x55f4555d, 0x6d87dd7e, 0xc412eced,
+    0xdf9bf730, 0x22b10f54, 0x7e9b408c, 0x551e2fa1, 0x992b2b5a, 0xd72023c6, 0x54758edd, 0xd7a7de78,
+    0x18ab45db, 0x66c97583, 0x7683972c, 0x5e150ca3, 0x8a118a95, 0xbcca78ea, 0xd2248366, 0xc2022823,
+    0xebdf6b56, 0xd847c3fe, 0x401b8e87, 0xeda682e9, 0x494607e7, 0x375a8794, 0x08baef6e, 0x2758052c,
+    0xce555195, 0xfce91536, 0x47fc2dd8, 0xec6a9f1c, 0x9c4ef210, 0x096bab7b, 0x3ad1fc3c, 0x0b186393,
+    0x89d82d32, 0x13a3c547, 0xa6cade37, 0xa413d6a5, 0x3624ffcc, 0x5a3464a3, 0x88371a31, 0xa51cdeb3,
+    0xd3abb012, 0x51c44350, 0x2856bbb6, 0x7c921958, 0xbfc6711c, 0x1436222f, 0x3cfa797e, 0xd4b616fb,
+    0xce0b73ce, 0x8c32da4f, 0xcdf70534, 0x8aa8b7c4, 0xaa158a4f, 0x08448be6, 0x6770f6db, 0x422a8d62,
+    0x28908d3f, 0xac1f1a9d, 0x702c3d1c, 0x4ea9dc38, 0xe3f49d3f, 0x0eb14b19, 0x1bc37c2f, 0xdd16e397,
+    0x8e6dac48, 0xa5fa8d2f, 0x6811748d, 0xb63e102e, 0x7914e3b3, 0xa7ced8e9, 0x0731fc90, 0xf815660c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000011467493079950357558054104476\
+                          51043470398282494584140561868794419693461438044242404035009276555062843277312 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240,
+    0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e98, 0xbe66bc08, 0x588ab831, 0x7076d054,
+    0x00000000,
+    0x8e4979c8, 0x78844db2, 0x6d89802f, 0x418c1f74, 0x0922f9a3, 0xd29109ef, 0x6c6d6345, 0x7bff5f0b,
+    0x75dc4a8a, 0xf89170df, 0xfc7cad6b, 0xe1a8373b, 0x49416b04, 0x2f9a7654, 0xbcd70fa0, 0x16d7537c,
+    0xc87124cb, 0x1b0c76aa, 0x4cc58d2d, 0xe4c00009, 0xc0e752fa, 0xf2d08310, 0xe0cbe30a, 0xce85454c,
+    0x5401120a, 0x53d2ecfb, 0x35b9d4d3, 0xeb8a87f7, 0xe78e3b4a, 0x93549b8b, 0x9592fd7f, 0xb14e392a,
+    0x7a97c80e, 0xf4e92a1d, 0xc25e742b, 0x98d95636, 0xe81a7833, 0xfe759cff, 0x6c2c1faf, 0xb13addf1,
+    0x9340d7b4, 0x4f5e92f7, 0x7abb132c, 0xfa5a51a3, 0x8b4f1851, 0x4dea048f, 0x9f6169c1, 0x91349466,
+    0xae188fe7, 0xb400f519, 0x387547af, 0x36d14d39, 0xf8b377a8, 0xa90acabc, 0xdb5a4dd3, 0x63466d65,
+    0x613412d1, 0x6835cb48, 0x2600962f, 0xa9f50d2f, 0xdafbd7c7, 0xd137d4ca, 0x050a0f60, 0x687a6f3d,
+    0xc4ebb293, 0x1a12437d, 0x421ee7d6, 0x86bcd560, 0x58f5a09a, 0x2d6bf870, 0x2838a838, 0x24865e38,
+    0xbaa563a9, 0x2d871668, 0x5719394e, 0xfaa1579b, 0x06a8f685, 0x14d067d2, 0x984e57fb, 0xf6112689,
+    0x7dbf03e1, 0x9a4cf93b, 0x19faf081, 0x7d100f42, 0x21cb0466, 0x6adf9887, 0x18b179b1, 0x347367b3,
+    0x8283b0fa, 0x678ac4cb, 0xf0ef750c, 0x774e29c5, 0x44df818f, 0x26542345, 0x7c8c8212, 0x074f97fe,
+    0x18862ce5, 0xe168560a, 0xf6618cc9, 0x34746883, 0xc7be7bbb, 0xe1235de3, 0x10268f5a, 0x57c50a70,
+    0x8c710b43, 0xf3458986, 0x7737b74b, 0x68acbcc3, 0x79de8deb, 0xdae1a310, 0x8826d526, 0x3e0c4a72,
+    0x8588164e, 0xe128c656, 0x6afb2989, 0xeadfdece, 0xdeb1916c, 0x34ec1a58, 0x407948d5, 0xd1e9a3e4,
+    0xcd0dd0eb, 0x338f98ae, 0x668f8b79, 0xe1cec46d, 0x47c82931, 0xba5a2c88, 0x4458df65, 0xa84fc2de,
+    0x272fdb28, 0x059886ad, 0x9e2c41d6, 0xf9d7b4a0, 0xf0545ae1, 0x1751bf85, 0x881d3ed4, 0x86a352d0,
+    0x27902f40, 0x53b92d3b, 0x78be6b8a, 0xd68ec15c, 0x785a024f, 0xf9c281d6, 0x71ff3bcc, 0x4aa6b2f3,
+    0x049f1f94, 0x9083e6a7, 0x84abe4ef, 0x14174bfb, 0x8d0292d3, 0x3dd02ac8, 0xd7545e1e, 0x57d24da8,
+    0x188a1c70, 0xe90294fc, 0x3f5a120d, 0xf08a42d2, 0x49ee11ac, 0x8a075a3a, 0xb6789a62, 0x56b18d36,
+    0x7a44f05c, 0x79995181, 0x5ba5b993, 0x3ffe853c, 0xd191c0d4, 0x226c118c, 0x2c8b5399, 0x0852ec01,
+    0xc98f9415, 0x1ceccd93, 0xd7774547, 0x6558df2c, 0x57f157bf, 0x134d5ae7, 0x85f60b2f, 0xddc83008,
+    0xb6ad004b, 0x2e0b11dc, 0xb0aa4dfc, 0xdbb3b6a0, 0x600ff1e0, 0xd5e78657, 0xf101a583, 0xec170118,
+    0x33954b7f, 0xe52c27cf, 0xf373f116, 0xaebf73e3, 0x7c08e13e, 0x7971e15e, 0xca1cd444, 0x812b224d,
+    0x139b4f69, 0x4179cee9, 0x8780c3f5, 0x5a7929f4, 0x06ac545a, 0x0a6c5b72, 0xe5e8fc36, 0x79e2eaf0,
+    0x9f38bb62, 0xfebab305, 0xce8d6cbc, 0x34bfd42b, 0xe488b51b, 0xdff65af2, 0x1e176c02, 0x262e247a,
+    0xa9fceaa3, 0x54bcfd97, 0x4e20293e, 0x765a004e, 0x3bc2aa38, 0x50f50c35, 0xdc3ade90, 0x6dbb40a9,
+    0x009000df, 0x7ddc1911, 0xf4c44279, 0xf3397c90, 0xb4ea1eb0, 0x2f1b2d77, 0x8e16aad4, 0x2e1e866c,
+    0xe2a45748, 0x48d28f9c, 0x776b5026, 0x46a8c994, 0x1f8c3b3a, 0x07a52eec, 0x7e80b0c2, 0x27bc6abf,
+    0x8d45cd2d, 0x1e60eae2, 0x826fc49b, 0x23ac05ad, 0x7e197a55, 0xdecd70a4, 0x61c538a0, 0xbef51d21,
+    0xeec6136e, 0x51b5ee36, 0xdc0948a1, 0xd345f171, 0xb40e7d88, 0xf962550f, 0x0e707702, 0x94784f5e,
+    0xad341b58, 0xae11c296, 0x795105f3, 0xf7f5c089, 0x4cc81e16, 0xc3e0804a, 0xcb519709, 0x1f2f0d50,
+    0x5c549e76, 0x88e06dd4, 0xe0c8b8ac, 0x15dbc37b, 0x8a41a94d, 0x451a54e1, 0x52685604, 0xa9afc288,
+    0x7fdefbf7, 0x50d24e3e, 0x7a76ff10, 0x8efc9c67, 0xefea7b2a, 0xa075ddde, 0xadbf659f, 0x0ba23649,
+    0xad07b351, 0xa98d2fa0, 0xc3de4800, 0xf743af6a, 0x73d0d517, 0x6bcffc93, 0x7c87c2a6, 0xe3072336,
+    0x6ede2d6d, 0xf0c730eb, 0x8fc8f66e, 0xa45712b9, 0x9d137c7c, 0x0c2d10e2, 0xda845901, 0x42caa32d,
+    0x5dd2f4cf, 0xbef87e59, 0x3a4ac547, 0xe0ddc30d, 0xc5dd7534, 0x2497628d, 0xad8ed9f5, 0x21838799,
+    0x9d3b3e71, 0x7836c088, 0x549da09b, 0x68e239de, 0x17b55fd2, 0x9d175488, 0x397698b2, 0x6a1c5fff,
+    0x6891049a, 0x21801281, 0x42c662a2, 0x392ee501, 0xc973ea38, 0x011946a4, 0xd9e77047, 0x8007c791,
+    0x739926c6, 0xfae0d614, 0xca6be638, 0x5308ee79, 0x9a598de3, 0x1a85a42e, 0x8a6c72e9, 0x286e8ed4,
+    0x3835742e, 0xf34a3091, 0x6bc96fe2, 0xc8926f79, 0x0601c695, 0x5dcc057d, 0xc1ac7cd8, 0x1cb25775,
+    0x006d7e26, 0x9c7e5f13, 0xfff71d81, 0x10d758e9, 0xe839ca28, 0x09cccb30, 0xd52947f3, 0xd78cb537,
+    0x1bee3383, 0xc6594ba1, 0x84614f50, 0x4321b0fc, 0x78e0d568, 0xa10c873c, 0xc42fed79, 0x6e2090a7,
+    0x91d59a3f, 0x612954ed, 0xe3c13731, 0x9dc1ad3a, 0xbb32c13d, 0x7645ba16, 0xfc4afff0, 0x5c2b09b6,
+    0x3c1326cc, 0xcfc3ee51, 0x532917b1, 0xb8dfad47, 0x3bb9e703, 0x071c6354, 0xf31d1103, 0x9e0e0b6a,
+    0x6d0b6001, 0xdcb4ed56, 0x45b01568, 0x55cf72e3, 0xeb30dd17, 0xa7f2d0c6, 0x2eac64ed, 0xb67ee60a,
+    0xa314739c, 0x92fb68cc, 0x9a9a2460, 0xdbd7e3d1, 0x22167f2a, 0x3f593bff, 0xf3531a21, 0x09007527,
+    0x4750ef50, 0xdf26bd9f, 0x69c9a03e, 0x0408d152, 0xc17b0d31, 0x8ef4c4a5, 0x0e740f6c, 0x49b34e84,
+    0x8c92c852, 0xee0b718e, 0xa5360033, 0x25ee8812, 0x65760596, 0xc294339f, 0xce2d007f, 0xfd4cb04a,
+    0xc9bbc0f2, 0xff0fb979, 0x23ee12d6, 0xc1004c3e, 0x630a6551, 0x261623e5, 0x449ddea6, 0x3d7d6281,
+    0x844036b2, 0xe6356535, 0x26db79a0, 0x2b27a7d2, 0x46872fd2, 0xc5b76f65, 0x7eaaf507, 0x12d51b27,
+    0x1d67399b, 0xe1a26673, 0xb7e8c7a0, 0x475f7c31, 0xbc0ea235, 0xfe76698f, 0x45fbd7b8, 0x088fd93e,
+    0x44ea96b3, 0x7246ac53, 0x36f8e241, 0x63e1ce1a, 0xc33bd886, 0x9013f04e, 0x09cb5e25, 0xc48fd692,
+    0x54bb7b24, 0x170e8b16, 0xa2d8b8a1, 0x66102b75, 0x8283fd7c, 0x0610dcb9, 0xfa081d65, 0xa1988a9c,
+    0xa1b4ffc6, 0x015466ae, 0x08a0e44e, 0xe6700170, 0x98efa513, 0xf26a65f6, 0x1a4a4e34, 0x402cc0c4,
+    0xa60eeb5d, 0xb5edea0a, 0x699c22a2, 0x5860e664, 0xbb03afee, 0x4fffd79d, 0x6fff909c, 0x633510e2,
+    0xef8eb980, 0xd25d0ac4, 0x1bfa0517, 0xfa2677ef, 0xe49a6299, 0x3128ae11, 0xd143994c, 0x7baf6d52,
+    0xe1bbb183, 0x4352251a, 0xf9fb8eb9, 0xdd0e107c, 0xe291b88e, 0x59d59eb8, 0xeeea6850, 0x0238e182,
+    0xab172b4f, 0xc2e650de, 0xe4b616ee, 0x91b50a65, 0xd84aaad6, 0x9880b854, 0x32330d73, 0xd4643d7c,
+    0x4ba01794, 0xff2d7658, 0x5c7a0692, 0x004141ef, 0x80c2db61, 0x3b91d425, 0xff8d9280, 0x4d01b6ba,
+    0x7682815c, 0x3f8e57df, 0x60170a2b, 0x2528cf16, 0x677b6d05, 0xed1573c5, 0x0406d2a4, 0xd05cada9,
+    0x6a2acf05, 0x56c8ed76, 0x5d08da69, 0x9155a1d3, 0xa4fba247, 0x215fa00d, 0x94157781, 0x4de17868,
+    0xae26430a, 0xff323ffd, 0x3e1d7eff, 0xeaee63a9, 0x765b0827, 0x1c83a057, 0x6540807c, 0x51b16b55,
+    0xa2a9f689, 0x33730ed4, 0x73ad0f50, 0x45151796, 0xa8883963, 0xf344bd1a, 0x166a6645, 0x51a897aa,
+    0xa3ef8444, 0x3cefac35, 0xf0b1b945, 0x6712afbd, 0xf271685a, 0x4f6e7a95, 0xfe045c36, 0xaa1cb78c,
+    0x0c0e7562, 0x8f76758a, 0xab202483, 0xe24976de, 0xc6b51c36, 0xafbc91a5, 0x331a7c36, 0x402f287d,
+    0xdc0800b4, 0x9a324b35, 0xef00fe5b, 0x289e3d2b, 0x8f4be132, 0x39bf296f, 0x83a6e9f4, 0x83637bd3,
+    0xdefc58b0, 0xad4c04cc, 0xcb5ac574, 0x82f87ee7, 0x31c5987a, 0xaccffa78, 0xc6f6c4a2, 0xcdff2ef4,
+    0x521641e7, 0xfb2fadf5, 0xf01a1954, 0xd374a032, 0x20330d74, 0x563885de, 0x0a29bb3b, 0x5572211c,
+    0xe0c39121, 0x9c2f705c, 0xab35ef71, 0x98557933, 0xf532d743, 0x8d4bfe8e, 0xac2af5cb, 0x88187c10,
+    0x00da2adb, 0x8ef356b6, 0xc12310cf, 0x457a1424, 0xf6140a3e, 0x5794eea4, 0x5a7d2ddf, 0x928b8a31,
+    0x2d40719a, 0x1627ea47, 0xe4affb5d, 0xb80d08f5, 0xf0b62327, 0x7d28c12f, 0x6cec1784, 0x3685b801,
+    0xac5c1703, 0xf2d354d7, 0x1cdc710f, 0xb16c4efa, 0xca1bbe62, 0x7fc34ae0, 0xe65b8312, 0x09f97180,
+    0x8fe9b3a8, 0x22e6fbd1, 0x757effcb, 0x75d73f2e, 0xa5481686, 0x488cc356, 0x199fee18, 0x719d120d,
+    0xe64ffe20, 0xf76fd687, 0x02e4dd7c, 0xb192f2aa, 0x02881c4e, 0x47433745, 0xf0223821, 0x4cb83bb2,
+    0x135fbe9b, 0x62d57ad9, 0x546d05f2, 0xb6521291, 0xc46ce811, 0xd5b0f47c, 0x856c2a9a, 0xf865411f,
+    0x707f970c, 0xb4da6960, 0xc4a1a219, 0x57c94130, 0x66602963, 0x7ad1fa92, 0xc80f5a45, 0xe0724859,
+    0x8fa16906, 0x1a996472, 0xc043a919, 0xdf33b709, 0x7cdcfb5d, 0x82139688, 0xe3e0f201, 0xc5459d44,
+    0xe1584eb3, 0x220c0fc9, 0xb37dd251, 0x2f44893e, 0xe58d68a8, 0x8dc68235, 0x1e1611fc, 0xc297ad2d,
+    0xe30d9529, 0x6f5e76be, 0x31b9b7e8, 0x05d7744d, 0x33669654, 0xb9fc6799, 0x9f86e551, 0x53ec74d1,
+    0x1771bd34, 0xb97ffa85, 0x14894a57, 0x277c50a5, 0x31db8ee0, 0x68dc04ff, 0xefed61ef, 0x88dac79c,
+    0xdf77fb39, 0x01e6f1a4, 0xc3b6110e, 0x072fb443, 0x4647bc74, 0x3fae6714, 0x42892062, 0x473d4e04,
+    0x20ef4bd1, 0x6fa1a3c7, 0x4f1e42b4, 0xde9cb6b8, 0xff6a98e2, 0xbe365d0d, 0x4e9c8620, 0x2d28c5eb,
+    0xe46fcde9, 0x554f8f09, 0x5ab099e5, 0xa97d65ae, 0xaa770b0d, 0xf5d2b97e, 0x554ca393, 0xe04caaa9,
+    0xe7a7bee3, 0x45e4ad96, 0x52137f80, 0x9039c2d8, 0x8a4be1d5, 0x6e7f8f66, 0x6a6162aa, 0x5e394671,
+    0xca97b3d7, 0x400db644, 0x844e3be7, 0x41d5ca61, 0xb55d4015, 0x5573ffaf, 0x00f1a229, 0xe6111d7c,
+    0x4c33bba4, 0x7f1b26bb, 0x9fdc618f, 0x7dab8613, 0x34f2f3d5, 0x0e845b90, 0xb3827d4f, 0x1b48a471,
+    0xc539fb21, 0x73e8c288, 0xe9bbc95f, 0xab5fbdd4, 0x3eac57ef, 0x6457a007, 0x243852b4, 0x10617f81,
+    0x79677c81, 0xf55eeb8a, 0x7c34ab71, 0x01bef831, 0x8023192b, 0xaed1b551, 0x69cff007, 0x19da6af3,
+    0xe1872ae9, 0x31c46e6c, 0x658d9a0e, 0xbef47110, 0x5b03b519, 0x2c6026d5, 0x0daa6d9f, 0x8a38d417,
+    0xcfe74e89, 0x329b1386, 0x972bc1a5, 0x022af998, 0xf9aed63c, 0xfa05f5c5, 0xac9c0562, 0x9d0cc42e,
+    0x62124188, 0x9ac2e13b, 0x7e7829f0, 0x1f1f5634, 0x15d60f0c, 0xf1a7e2eb, 0x71266b79, 0x935a9815,
+    0x9c675b5a, 0x44f7ec2b, 0x8bbe7afc, 0xdba796a8, 0x4ee01e99, 0xbd38e650, 0x56cf4fe5, 0x8884b02a,
+    0x65f2dc67, 0xc6e0a7de, 0x38f0ba2e, 0xc44c8b2e, 0x543c0f72, 0xcfd9e29a, 0x733d9656, 0xc9d879dd,
+    0xeb0ceacf, 0x601294b0, 0x9d090438, 0x27305da6, 0x4091de3e, 0xf555bde5, 0x6ddcc976, 0x846e07eb,
+    0x6f15b8cf, 0xeb8b931a, 0xcb24b79f, 0xef48a7d0, 0x7486ee91, 0x66a1df81, 0x2b70936f, 0x3ee09807,
+    0x2c1bcb73, 0x7ea51ca1, 0x135cce9a, 0x63f20b3b, 0xd5ddd08a, 0xbf85d49f, 0x8462253c, 0x531db161,
+    0xbd9f2358, 0xa5c2c9e7, 0x6fa01fb6, 0x0db0bb9b, 0xabc067b4, 0x667ff59d, 0x4eb9cbc0, 0x09bb7fa8,
+    0x9f0275df, 0xf62417c0, 0x3db78671, 0xf4f6e984, 0x00104e15, 0x4336ebbd, 0xc64e451d, 0xf0f8a6da,
+    0x1c7f19db, 0x0dae46d3, 0xe1070166, 0x8cd2b5c6, 0xa5ddefe8, 0xaf38bd32, 0xad927d57, 0x4ae9a86e,
+    0x00ac934d, 0xed8e5442, 0x23d7b2de, 0x5fc1666c, 0x95b470d0, 0x8ee689e1, 0xa0f03fc6, 0x20a8187c,
+    0x0c03bf25, 0x557b9657, 0x7ce23d32, 0x05f679c3, 0x1f9b1064, 0xfe92a561, 0xaa8519c3, 0xf5c625d2,
+    0x610d0513, 0x02958ed6, 0x87283500, 0xc85fad91, 0x63995945, 0xa549d2f9, 0xbc4e6e92, 0x744b10e3,
+    0x15f439db, 0x74f3296f, 0x18d04dfa, 0x3eb70437, 0xc0c85ec5, 0xe4e61c65, 0x4b0c9df6, 0x02380b1c,
+    0xca81857c, 0x813e50e6, 0x902120cc, 0x9a26b5ad, 0x8da3b376, 0x560ac671, 0x9ca2fdab, 0x0c866b38,
+    0x465f1a37, 0x7ca1805b, 0x42b4b14a, 0x407032eb, 0x621d2266, 0x2700a445, 0x419734ca, 0x017c32a0,
+    0x4c0d7d5f, 0x721211e4, 0x96b98abc, 0xf4890dc7, 0x6bbcb77d, 0x1eabe748, 0x9342f1b9, 0xc39ac807,
+    0xb4c8872b, 0xd02cd006, 0x95d62335, 0x9f37182b, 0xd6a6b2d7, 0xf79cc1bc, 0xdfe0b5a4, 0xcbeaee9d,
+    0xdb3d86c4, 0x82ccc9df, 0xe764b48e, 0xa6cf47e7, 0xe193a03e, 0xf100641f, 0xb6d0057f, 0x42667598,
+    0xb46ea3f1, 0x205a066b, 0xb00287d0, 0x4c7e35a9, 0x5a126e59, 0x10630d88, 0xd05ae151, 0xdca905ab,
+    0x94520c06, 0x2b6048a8, 0x0dde0bfc, 0x073e401a, 0xbdfa46c4, 0xf8029d3e, 0x654f244a, 0xb107ee26,
+    0xa2a39d8a, 0x5e85a44d, 0x8037fd3e, 0xf7ad5a6b, 0xef63d0c9, 0x328e3efe, 0x77d192be, 0x1abe2eaf,
+    0xfe2be04e, 0x1a389a25, 0x1ac4bfa8, 0xf2dbd1e0, 0x5a21bb02, 0x2eb87535, 0x92b97a48, 0xc2f774b2,
+    0x30f0815e, 0x88d5b9bf, 0x838d294a, 0x2c417857, 0x70eac61c, 0x8195d3bb, 0xd72a6627, 0x0d08b051,
+    0x924857e9, 0x6e0a96ed, 0x6f207e84, 0x82a82f9a, 0x68bd445c, 0x9bda0dc2, 0xb8bbc0fc, 0x002472b5,
+    0xafa6e614, 0x1420ed7f, 0x0d7a1963, 0xc643ea6f, 0x9286409b, 0x494fa0cc, 0x2d6fb287, 0x9a0466a7,
+    0xaf9e46ac, 0x3b0bd73c, 0x05a86401, 0xc3bf1b14, 0x8f5c5b54, 0xe66fea6e, 0x99636d29, 0xc9194bdb,
+    0x0eb9f19a, 0x05267036, 0x9c653d38, 0x113e20a9, 0x6b56a174, 0x560ac4e5, 0x4d737362, 0xc1cde855,
+    0xcb4a1504, 0xd91a590e, 0x9cb4a300, 0x4fd0051e, 0x1b254aad, 0x22478a4e, 0x17191bd9, 0x5c23a52c,
+    0x06cea970, 0x590a0117, 0x139415ec, 0x0918668e, 0x60fcd1cd, 0x624a1ac2, 0x5f2c80be, 0xd8044d70,
+    0x2a44b6f7, 0x9aa19adf, 0x56bfe570, 0x471602d8, 0x05077e92, 0x2b5dd8d8, 0xbb646eff, 0x31f2f599,
+    0x5db601cf, 0x549a9004, 0x4e7def57, 0x62a2d4c2, 0x4472d333, 0x49293ba5, 0xd6c5076b, 0x5e7b24b6,
+    0xc3cb01ca, 0xcd760249, 0xcfe3c6c8, 0xa9a81831, 0xb483ea66, 0xd7e10008, 0xd76796c7, 0x9e2bf97b,
+    0x81c2c761, 0x541563a8, 0x02087022, 0xac2e993d, 0x6ae02278, 0x5c0e0e4d, 0x093dac0b, 0x9e7b01a4,
+    0xf4defff6, 0xfdddf9c7, 0xae72a6ae, 0x97e1b7da, 0x2ab61e90, 0x60f873d8, 0xf97b2261, 0x1a9965ec,
+    0xf1034a1b, 0x58d699c3, 0x1cc571ec, 0x8aca7a1d, 0xe643c8e3, 0xe0c176ad, 0x543598e5, 0xd32fa482,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000005733746539975178779027052238\
+                          25521735199141247292070280934397209846730719022121202017504638277531421638656 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120,
+    0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4c, 0x5f335e04, 0x2c455c18, 0xb83b6829,
+    0x00000000,
+    0xbedac69d, 0x5fede1f7, 0x1be681bf, 0x467ffe11, 0xeff41e72, 0x336a91b3, 0x88cb82b8, 0x8ac46fd7,
+    0x49d25797, 0x47c4e824, 0x0f2a28ca, 0xe9e8690b, 0xe1a449d1, 0x4f56a661, 0x5b5d1634, 0x29fde429,
+    0xdbba32a0, 0xedcea513, 0x5754f2ff, 0x99f9fda6, 0xa194a64e, 0x53a13e24, 0x7a9a4ef1, 0x6598d5cd,
+    0x6e8fc52f, 0x6a040811, 0x9172d2b5, 0x5b81786d, 0x0475b4f6, 0x211cb91f, 0xfb5083ef, 0x8f354e3c,
+    0x998e61dd, 0x601caf97, 0x0ea6f9f0, 0xf3bad0f6, 0xddb08f5b, 0xbdc96b26, 0x1d824ef6, 0xfe1ef8fb,
+    0xde0f9413, 0xe2574a39, 0x67ea290a, 0x1dd27a96, 0xa89b0d1f, 0x447fa3aa, 0x9f69adfb, 0x64e6813c,
+    0xcf8457b3, 0xf9818669, 0xa47ef2b5, 0x9c49ca6b, 0xeedcdaf9, 0xd64a631e, 0x46d40310, 0xa2d2a2ca,
+    0x7e084cf2, 0xcf5cff58, 0xdad8b8bf, 0x5fa02a7e, 0x50e22947, 0xccb1a271, 0x7a35ab7f, 0x58a1d807,
+    0x66a4f59b, 0x654ad39d, 0x87fa61b3, 0x015d418b, 0xec00cc34, 0x9aef3345, 0xb61a6825, 0x419a150b,
+    0x12a8ce78, 0x679d40c0, 0xc1d39bf4, 0x204179f0, 0xf235f300, 0xd18721f0, 0x9994d64c, 0x57bd7603,
+    0x4b9466ac, 0x624c4e48, 0xb1323450, 0x0a76b4bf, 0x4486dc2a, 0xb39477e8, 0xae675073, 0x9e8caf4c,
+    0x7ad6feb8, 0xf5be6ade, 0x53c71b2a, 0x21422e09, 0x9876a415, 0xe58d048f, 0x8bfb8dd1, 0xeb12ba8c,
+    0xdfaddd9c, 0xb5fd2780, 0xce7426a2, 0x3861a7ee, 0x5fbe7ae7, 0xad56a6e6, 0x3112af56, 0xbe16e92d,
+    0x4745822d, 0x7c9a314b, 0x2247154c, 0xa1f7d973, 0x024267c0, 0x410bc57b, 0x96271d73, 0x15c6fe6d,
+    0x311a2380, 0x81b617c2, 0x9983534b, 0x70fec91f, 0xaedee3d8, 0xb6149f9d, 0xfc2477d5, 0xe5fd2877,
+    0xc1d55f12, 0xc2e0be2e, 0x460eb169, 0xfcab4212, 0xe818ac25, 0x54362c56, 0x41c4ffd4, 0xa51c4296,
+    0xae667af3, 0x79ce89fb, 0xdb3ecd58, 0x3225a427, 0xafcdfdc0, 0xde3be710, 0x093ac9ec, 0x4a116648,
+    0x26d82429, 0x3e67a7f7, 0xdeb2b417, 0xaed4a247, 0xe60390e9, 0x0f8130f7, 0xbbeef5d2, 0xbcbda372,
+    0xf46f91db, 0x22010eac, 0x9a99c34d, 0x307ef522, 0x60d450ca, 0x8fec85ee, 0xdc56adf3, 0x89f88e45,
+    0x1095822b, 0x57ba9803, 0x34ef2f54, 0x044c3747, 0xbc925a41, 0x24c8faca, 0x3b008346, 0x2af1786b,
+    0x54b15197, 0xdcb6ea09, 0xcb3b872b, 0x8f193abe, 0x9b29b422, 0xcf7a742c, 0xd1d9aa50, 0x747bce16,
+    0x35a2c4f3, 0x60bdab28, 0x0964ff5a, 0x35a97b49, 0x05f330c0, 0x608e9397, 0x488d4ba3, 0xeccf048a,
+    0x2b943a31, 0x8aec9884, 0xec102421, 0x3bd4bba6, 0x934a4335, 0x9e88cd1b, 0x0db36462, 0x7256ef4f,
+    0x0239242c, 0x3db9ae87, 0xd0c71b79, 0xa4f682c4, 0x4393edc9, 0x4994542e, 0x2e043c71, 0x77efb3a7,
+    0x94e931f2, 0x8c9d3581, 0xa244ef3c, 0x23ba98ae, 0x8aabbad9, 0xc22e6e37, 0xaeb1f3c2, 0x792b9688,
+    0xc8d66c1f, 0xd77ee886, 0x8c55e667, 0x5ee1d16d, 0x89be5a51, 0x294fc568, 0x7ae7b789, 0xfecb9abb,
+    0x723e5756, 0x503935e1, 0xe20cbd4e, 0x5f29905b, 0x9ba76bed, 0xc1f2b17c, 0x6d42b575, 0xfae72b78,
+    0xd55db1ca, 0x4377fc50, 0x4df9b5c1, 0x35696696, 0x7f40775a, 0xd196a7cf, 0x82ed3615, 0x85520487,
+    0x21455ba5, 0x8572e1b4, 0x903faaa3, 0x203cf7ce, 0xb0e1b646, 0x8ea52879, 0xfd7364e4, 0xad5a999b,
+    0x1073ac4d, 0x22c18c4c, 0xd4e583e5, 0x5b603cb9, 0xccdf7be6, 0x7cd8a112, 0xd65b555c, 0x7bdd5535,
+    0xf9d465e9, 0xf885c3ef, 0x251ae122, 0x634c6a3e, 0x49399185, 0xbb829c9d, 0x8860e048, 0x5ead1e50,
+    0xcb517f97, 0x59b4ce60, 0x468d5b97, 0x0ebae543, 0x6a07c00a, 0x3fc56456, 0x8dcdad80, 0x083e0090,
+    0x3312d0d0, 0x61e62ec7, 0xac7754b0, 0x1e64b164, 0xb4aa95fb, 0xea9d8094, 0x645b4e99, 0x65cd8754,
+    0x0d47f23d, 0x637799d6, 0x141caa23, 0x27bd37f2, 0xeca3a3ee, 0x3baa3a9e, 0x821b041f, 0x76de71b5,
+    0xb91f607b, 0xc5598ac2, 0x6afcf7fb, 0x759a3c05, 0xc457aa58, 0xfb6dcd6c, 0x3f62e4dd, 0x5e73fc3f,
+    0x783f2b65, 0x29f7db60, 0xeaee2058, 0x901df4be, 0x02b51f59, 0xa5a3e2ea, 0xd6991dee, 0x89397820,
+    0x557bdc5d, 0xb4edf549, 0x72d891c3, 0x05ccb2ee, 0x591b4f35, 0x8b70a138, 0xb3d601b0, 0xb1033c9d,
+    0x70a38883, 0xb3f26959, 0x17550637, 0x292a15a8, 0x67f0c46b, 0x8a73f038, 0x2098f347, 0x1f196b00,
+    0x00c33da0, 0x15f1cc22, 0xad173219, 0xc91ab5bc, 0x5ae3588e, 0x0fd14b36, 0x147745bd, 0xfff36eb3,
+    0x076e5350, 0x8ea46876, 0xbb8aee57, 0xd0851c0e, 0x747b03fc, 0x4a8929d8, 0xbf36424e, 0xa33bf70a,
+    0x818a1eb1, 0xbc156b61, 0x791bc9fc, 0x24bfa77e, 0x5f6ff808, 0xf149005e, 0xfadb4ea4, 0x2b2e7a60,
+    0xc59a04fe, 0xd3f9560d, 0x0cfadae8, 0x2f27d15f, 0x890b97f6, 0xb25cb4a0, 0xf76a458e, 0x47655f4b,
+    0x36599bae, 0x3c3de480, 0x50a12577, 0x57adb447, 0x3b2c74c6, 0x09bce882, 0x11bcc328, 0xa2dc90e9,
+    0x0a766fec, 0x35740767, 0xfa91ad26, 0x48d42662, 0xac25d7bc, 0xceb7ac85, 0xa49698ac, 0xa958ae33,
+    0x6732f2be, 0xd5ae8d3c, 0xb61331e5, 0xeb1a8dbe, 0x9a488ac5, 0x21666b30, 0x8de1fd44, 0x288c1399,
+    0x3aef983c, 0xa2a768d1, 0xd9254b23, 0xd685329f, 0x8ff8ef22, 0x896eb243, 0x64cc67b6, 0x5c30a987,
+    0x52813d78, 0x9d8f8b25, 0xc22c8fd0, 0x9f5850d1, 0x71b9a48b, 0x8379198d, 0x008e6b3d, 0x1c5db498,
+    0xab3ff6d8, 0xb5d519af, 0x652bc35b, 0x4d45fea4, 0x9434bea6, 0xbf1b2606, 0xd0b8e6c3, 0xb5ec2ccc,
+    0x9e580462, 0xd0491b29, 0xe24c57be, 0xf0f6c004, 0x8965fc2b, 0x95e910ba, 0x8b8df248, 0x6a8f3d44,
+    0xf0450c17, 0xeaa93041, 0xc045c521, 0x865d00fa, 0x84e550f4, 0x4f16122c, 0xe5defb03, 0xff0137c4,
+    0xe7a06aa2, 0xf9610098, 0x35eb46bf, 0x2612265e, 0xecdb3500, 0x73f37529, 0x8388e88c, 0xd7a07ad3,
+    0x4a687888, 0x28618de8, 0xc62aba58, 0x51c44e7d, 0x3a464dd2, 0x69dfac61, 0x88c4ef81, 0x998df18f,
+    0x2888e7fa, 0x534634e6, 0x84e64f26, 0xff2e7344, 0x15d83410, 0x8faa9e17, 0xff23fbb4, 0x0eef0ed8,
+    0x8a7c882e, 0xf7f42fcc, 0x198c31cc, 0x294c4f78, 0xc2ddeefb, 0x30bca6dd, 0x3d2fb8fb, 0xc32667a0,
+    0x7671aef0, 0x3ea17c0b, 0x6c82f00b, 0xabf4ac8e, 0x3fd2a291, 0xd2abf54d, 0xc1201a9e, 0x7fe313ea,
+    0x14d259b2, 0xb319ebdf, 0x457d3a93, 0x421302a9, 0x02c54bc6, 0xb872260f, 0xeca2a2e6, 0x24d92065,
+    0x3a96d577, 0xe0f3565d, 0xbd478ad3, 0x378af87f, 0x0ac58383, 0x0554d344, 0xde3d1b0d, 0xc5a059f1,
+    0x803baa4c, 0x14d85a8b, 0x30b44b35, 0xdbbd2fd5, 0xc322f5b0, 0xbca209ce, 0xfb1a3764, 0x0d158e90,
+    0x19d6af90, 0x2b17e41e, 0xb629db16, 0x28bec907, 0xcb9ff145, 0x26d1d728, 0x30b37437, 0x5be85370,
+    0x7e342c08, 0x2be8675a, 0x600a2f5a, 0x5e14b411, 0x63b3e6fb, 0x6ed82b66, 0x647da7c1, 0xf8a8a1d0,
+    0x478cd55e, 0x812f731c, 0xaf16b5e6, 0x4cbcc8e7, 0x2d08bbaf, 0x15669401, 0x7864c4c8, 0xc77732cb,
+    0x004a1060, 0x6b1fc411, 0xfe4f5ec8, 0x87e90cf6, 0x4fb37f67, 0xdf798aa8, 0x6a754b09, 0xd3d9b92e,
+    0x3c022d3b, 0x3e57f575, 0x4c9540a1, 0xe7cf9c37, 0xe0820e76, 0x9dce89b1, 0x283777e8, 0xce61ca2a,
+    0x91cde648, 0x33d8c574, 0x391a5275, 0x4d2cf4d4, 0x29f0568e, 0xee6e08ee, 0xde04f5d4, 0x76215243,
+    0x050530d9, 0x40d2de4f, 0x7b002b11, 0x4016983b, 0x952ce8b0, 0xa302d4c4, 0xe934093d, 0x11c916c7,
+    0x13e8288a, 0xbf140fea, 0xa95abc95, 0x596ef7de, 0x87cd10a0, 0x71b004e7, 0x1bbddc1b, 0x3b1d4d33,
+    0x374051d3, 0xc2aacbfe, 0x5c50ca54, 0x25c46a56, 0x037649ce, 0xa7c9aa64, 0x1c63921a, 0x89318997,
+    0x23c6eac1, 0x0a87618b, 0xe02ac036, 0x09dd8a2c, 0x0e738ee2, 0x44619657, 0x304b7fa5, 0xd888dbf7,
+    0x75514cb2, 0xf8eae0c5, 0xa15f9746, 0x4a6dd634, 0xa820744c, 0x6726f810, 0x92906551, 0xf581e6f0,
+    0x5934844b, 0xf3936036, 0x0bad9882, 0x23538b2f, 0x922d8bbc, 0x0dca7068, 0x3f8d936d, 0x2f4d3f75,
+    0x394b8abd, 0x8395b10b, 0xfefe6ca5, 0x9605320f, 0xff0c5dc2, 0xe85ec2f2, 0x2cd8c7fc, 0x24dc1833,
+    0xa6d5e774, 0xf9388249, 0x57d00817, 0x3a58df9f, 0xfc780b3a, 0x4deb791e, 0xa353b9ae, 0x7d94c353,
+    0xae5d19fc, 0x8b97b8af, 0xf5fb405e, 0x9bf0383e, 0x6d0aad3f, 0x4998d9fa, 0xaabfaf68, 0x3f721917,
+    0x1a07bdf7, 0xfaa349e4, 0x7db7d11c, 0x91025cf6, 0xb01dba87, 0x0cd0f088, 0x1bfc0fe4, 0xacafddfa,
+    0x9cf9ac67, 0xf7816d23, 0x52692fba, 0x65e70e23, 0x0e9f747b, 0x1301b7a9, 0x1eaac98f, 0x7fc71ce6,
+    0x468be36f, 0x8425ee54, 0x4124f846, 0x9001ae37, 0xd3f15518, 0xe6f3b3eb, 0x407997e5, 0xc590be0e,
+    0x44a885c2, 0x4af27c45, 0x5f4c8caf, 0xced57d5a, 0x6716f8c8, 0xc407bf38, 0xacb79527, 0x058d407f,
+    0x2df9f6f0, 0x4fac63f6, 0x410a370d, 0x685e4882, 0xf4bdbd39, 0x4c1ac9a2, 0x1829c9bc, 0x26e3bd2e,
+    0xf52ab23c, 0xa8dbab93, 0x74fd7a88, 0xfadf7da6, 0x8f1eb472, 0x4be45149, 0xd6df99fa, 0x28d6f39d,
+    0xeeed0f50, 0x61761f14, 0xf0bd9c44, 0x912fb5f4, 0x4bb46d40, 0xe7e316c7, 0x6cccebf6, 0x238b5dca,
+    0xaac5c9f6, 0x3f9101e2, 0x75c1d2a8, 0x39c2c23b, 0x594a1398, 0xc2e5eb5a, 0x31b1eedc, 0xdd1ab06a,
+    0xd673eb4e, 0xc07125e0, 0x45cb1bde, 0xae90ccf3, 0xe3f711b7, 0xcaf60a17, 0xba5e9961, 0xda632771,
+    0x3c2af030, 0xb9b7f8de, 0x74475610, 0x3cd68883, 0xa93c678c, 0x33d9fbeb, 0x6874758a, 0x94351634,
+    0x5b5500d3, 0x9dd52be0, 0xcbe64470, 0x8f39f253, 0x0c3e479b, 0xbfcaaebc, 0x2f9ce73c, 0x6a675b00,
+    0xcc401575, 0x3e868f51, 0xf1109a56, 0xf71c6ca1, 0x581f656d, 0xdeba9215, 0x4ef563de, 0x3c37e324,
+    0xea2c2fb0, 0xbd539f41, 0x7affd77a, 0x93e4dd3a, 0x025b9c02, 0x3e9b5af7, 0xf97f081e, 0xb4dfd279,
+    0xd59f19eb, 0x6c19e300, 0x69f2e7b7, 0x8778402f, 0x004437a4, 0x45ada2f5, 0x51af666f, 0xf5c98319,
+    0x7cb0cefd, 0xa26d309c, 0xf61df133, 0xcff98faa, 0x9a818a1c, 0x27016f31, 0x11bbf592, 0x1d227df1,
+    0xf517ef77, 0x95f9e435, 0xab2ebde2, 0x4db5838a, 0x20625593, 0x6c2aa8f2, 0xf9e1c615, 0x4640236f,
+    0xcb24463e, 0x53d20f72, 0x03ad37d7, 0x9d4287cb, 0xae778df4, 0xa58c3cc4, 0xedb44b48, 0x4830218b,
+    0xd86c9ddc, 0xe43f435a, 0x7ada6de4, 0x1ae038c7, 0x72181f8b, 0xf8c41b9a, 0x0338d6cc, 0x5088f5c5,
+    0x0f571273, 0xc9a22a4e, 0x3bc876b1, 0x602a742a, 0x5d8d3316, 0xf3304517, 0x247cdaef, 0x981b3fd0,
+    0x98fecd1a, 0x24ee9c32, 0x008e1a4a, 0x0364cb33, 0x689909d8, 0x74f24776, 0xde7612a2, 0x4fffab45,
+    0x4fb04ebb, 0x30ea42d0, 0x20cf3535, 0x10b5405f, 0x8c5ca936, 0xdc0243a9, 0x28b65597, 0xf0dae332,
+    0xa39a6355, 0xd9a801de, 0xb934a55f, 0xf9923f3f, 0x9bca21e9, 0x87d47194, 0x0c674c20, 0x6f736bfc,
+    0x92ea0822, 0x1f0dd85a, 0x7b1095d0, 0x858a64c4, 0x15340f04, 0x57d63c44, 0xadc8b3dc, 0x432e04df,
+    0x8644ec20, 0x6af8ec8a, 0x49fb4245, 0x7b9cfe44, 0x135fe7ca, 0x27f1ba5d, 0x3ac23628, 0xa7940b56,
+    0xa6874b70, 0x4f92b243, 0x02afa5ad, 0xdf51bf8a, 0xcf67022d, 0xc4cc58db, 0x65426868, 0xf9ae02e4,
+    0xc67f54e6, 0xd86ff8bd, 0x5c04d2f7, 0x44eb4754, 0xbd4ac4e1, 0x87e952be, 0x3482d9c5, 0xad6e0830,
+    0x9731630c, 0x2f9ace0b, 0x713bfddd, 0xc09f2bde, 0x850ed6a3, 0x2070e540, 0x4a57d083, 0x33da7123,
+    0x50f44f4a, 0x95ddd033, 0xf9bb4fca, 0xe948255b, 0x09e41628, 0xac03dce9, 0x78f22c65, 0x72f57dc5,
+    0xb8029674, 0x47ca0b3f, 0x2c8fec91, 0x573423fe, 0xee4af0ec, 0x18fcc6c8, 0x47e27c85, 0x8dd85eda,
+    0xfd6da22e, 0x0aead342, 0xb3efedc1, 0x794f4eb4, 0x246521ba, 0xfeae803f, 0xb7464772, 0x6e000583,
+    0x93d45dd6, 0x75722d07, 0xc9ae118d, 0xa3b20fe2, 0x5a4cfbd6, 0xa99980b4, 0x3fbfe0e9, 0x56be262d,
+    0x435ff203, 0x30fcb61e, 0xcc467bf8, 0x77017c70, 0x9aec649e, 0x56c14d29, 0x0d59f8b7, 0xbc879778,
+    0xdf04da85, 0x7e37f071, 0xc0733aad, 0x72ddfc5d, 0x6355792c, 0x76910fb1, 0x56c174dc, 0x5ca285e4,
+    0x792d34da, 0xef62a7bf, 0x27710b4a, 0xafc46da1, 0x5278d71f, 0xf8df0741, 0x7f3f8626, 0x54b3b109,
+    0x11351cf4, 0x09da07a4, 0x580a9057, 0x98816846, 0x2d9a3acb, 0xa2e05430, 0x400bd836, 0x912ece86,
+    0x1336c00a, 0x7d84d887, 0xf4d3f0bf, 0xcec1367c, 0x65eaee2f, 0xf8f7a56b, 0x0e4ba42c, 0x66249841,
+    0x0714079d, 0x888e9195, 0xe3652a44, 0x1eff63b1, 0x9430b079, 0xd5b99fdc, 0xbdcda522, 0x1a202bac,
+    0x251a0538, 0x350734d1, 0xd453de63, 0xbc0c0591, 0x0aa71daf, 0x6c44ea8e, 0xe26eb78b, 0x0ba04e28,
+    0xaa783e22, 0x9eeff963, 0x407c1e5c, 0x3027b756, 0x69ad9e0a, 0x570d5fc1, 0x23434d38, 0xf3f2279a,
+    0xcb64a110, 0x891a52a3, 0x1d6d78c5, 0xbf47a148, 0x2260e5df, 0x8c80b741, 0x4d8daeba, 0xe88c7968,
+    0x7b9b8ecd, 0x09e5356b, 0xa6875a12, 0xcf12f306, 0xe2c2d4ae, 0x6b6a25a0, 0x1e188284, 0x0cbd644e,
+    0x1a3da790, 0xd67c5375, 0x6b83b35d, 0x85e3c18b, 0x623f101f, 0xbe18d503, 0xacdf280c, 0x99991526,
+    0x5edfc4f3, 0x64226eec, 0x31ae0de0, 0x1340270f, 0x7fc7e6bc, 0xb0fd1f9d, 0xb527a840, 0xc7ce6a28,
+    0xc7634229, 0xd2574c68, 0xd6d5e889, 0xa8bb5a7b, 0xa4b33f06, 0x5d255c99, 0x95a33d33, 0xf564a215,
+    0xce56cab6, 0x4ae6e562, 0xb8f7eb7c, 0xd31b18f8, 0xfc33272e, 0x9224cf05, 0xc1e74704, 0x8d597f2e,
+    0x81e6457d, 0xab40edac, 0x1e28f645, 0x713e9ce5, 0xe5139ad0, 0x788759be, 0xd6db52b6, 0x5b1879b3,
+    0xc1e3087c, 0x80dff69c, 0x591804de, 0x508dcdff, 0xa0aa2810, 0x2483195e, 0x1e5a1cc3, 0x6c34d222,
+    0x6fc3c5da, 0xdf00ceae, 0x594eaeac, 0x5fb0a4ed, 0xea04f037, 0x838b0026, 0x7edecad3, 0xb1573e0c,
+    0xa75bdb4e, 0x38a0d767, 0x3c1e68f5, 0xd63d1da4, 0x23409319, 0x087845d2, 0x1aefd667, 0xefbfb45e,
+    0x9da14594, 0x88b8d94a, 0xae89b0d9, 0xf4dc72b7, 0xff51d7a6, 0xc6501cb2, 0x47cb970b, 0x1db154e2,
+    0x7657e9bc, 0x5f235318, 0x54e421f2, 0xe2726182, 0x4a3c5d17, 0xa1ba639a, 0x64d00e43, 0x3b50d5a2,
+    0x4f56d6cf, 0xf9d1c9cb, 0xc9eb7d6a, 0xf5884326, 0x548b6195, 0xf9f01a87, 0x470dbf04, 0x4bb1a3dd,
+    0x6c39ea5d, 0x9c2d1c2b, 0x09f230a5, 0x60d2e5e2, 0xd7faa818, 0xdb38079a, 0x2e024417, 0xccd53b73,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000002866873269987589389513526119\
+                          12760867599570623646035140467198604923365359511060601008752319138765710819328 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090,
+    0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a6, 0x2f99af02, 0x1622ae0c, 0x5c1db414,
+    0x00000000,
+    0x9c4c8d78, 0x1c48b666, 0x42798fa1, 0x5b46730e, 0x5d30d15f, 0xa920978d, 0x3e9abeb8, 0x063951f1,
+    0xbff96ae8, 0x902735e2, 0xd4c9fd37, 0x67af5f46, 0x83c94934, 0x632759d4, 0x28186cb5, 0xfd62dcca,
+    0xef7c00db, 0x1f2423b3, 0xc8c293cc, 0xae62f997, 0x58ae4c73, 0x4cf0035b, 0xb552afdf, 0x0f11435a,
+    0x8f61112d, 0x7adaf2e1, 0xd1d8e2e5, 0x3d6802c2, 0xcde9b717, 0xd8edd1de, 0x37e6ae2b, 0xee88208f,
+    0x3d14df0f, 0xc0a228ae, 0xbf630697, 0xf5d277f7, 0xff6ae2de, 0xffc4b424, 0x3c901cb7, 0xad97fb67,
+    0x5eb8948c, 0xb3c84875, 0xce7f4f56, 0xd474ccc9, 0x9c44b8f6, 0xcf350ea7, 0x199fb073, 0x1607ea5b,
+    0x46da3ecc, 0xd70600a2, 0x12c62451, 0x183af8bb, 0xc8f0cac1, 0x1f4c52fd, 0x79beaa58, 0xa0993e5b,
+    0xd617c0ea, 0x1af3a785, 0xcdbce281, 0xb0753c12, 0x06b6612e, 0x33fa1dcf, 0x26ca5667, 0x429349a1,
+    0x5d440b8d, 0x79102ce5, 0x2f257ccd, 0x1559ecd1, 0xb8b43c32, 0x0d5c6250, 0xad92605e, 0xba66d4fc,
+    0xc1163892, 0x285d8f51, 0xb7bc4f55, 0x93466aac, 0x12631cf7, 0x9fd1fd7c, 0x6afe21c8, 0x3efd1fce,
+    0xea1bc73a, 0x3b41d9ac, 0x03cedcaf, 0x6f0679f0, 0xc35314fd, 0x5d7e0886, 0x0ec1e8d7, 0x9203defa,
+    0xdaa2229d, 0x3071cc33, 0xd9a70d56, 0x10a6583e, 0xf6533b52, 0xbf017b93, 0x7c1ac88e, 0x59460170,
+    0x65dd5810, 0x17bfd4b4, 0xee8dd751, 0x9963124f, 0xb73eaa62, 0x3a68fbc9, 0x9926791b, 0xae61bbd0,
+    0x024b43ab, 0x68b5ce9c, 0xfc76bca2, 0x637efebf, 0x3d413334, 0xd0ac15af, 0x266cdca6, 0x854f2a66,
+    0xd82f351c, 0x90946b8f, 0xfa443b85, 0x6b363699, 0x973b22ce, 0x9c5cde15, 0xd943305a, 0x067f55c7,
+    0x94590306, 0x759c68dc, 0x25150c03, 0x7654e705, 0x690ddc77, 0x5d160cd3, 0xabfcb35d, 0x942d2264,
+    0xba0de212, 0xe32f60b9, 0x88d1132c, 0x45509e1a, 0x29a529ae, 0x976dd5ee, 0xd37b07c9, 0x6fcfb159,
+    0x4328dbfe, 0x3052d415, 0x6426aca7, 0x2dd6c4a3, 0x00ad3c01, 0x4c6f98a9, 0x070d2941, 0xd826b0e7,
+    0x8dcbab61, 0x45628160, 0x65e45a36, 0xbaf587fa, 0x2e8a02db, 0xeb3fbd61, 0x3d5b883f, 0x47fdf968,
+    0xa1b293a3, 0x1a08646c, 0x6dbfd5fe, 0x7c22d969, 0x314a550f, 0xaf6c4a47, 0xc679d4b8, 0xb325e974,
+    0x0795eaaf, 0x91501e89, 0x520ababa, 0x0cbff379, 0x39de8a66, 0xfa669e15, 0x48e0f189, 0xe42ee5be,
+    0x7c6418ca, 0x4d611b88, 0xea786390, 0xef142873, 0xbc09f71d, 0x446b00a3, 0x57ca9fc7, 0x712fb364,
+    0x158d5c10, 0x9d092f9a, 0xbc346215, 0x5366d253, 0x4a255b17, 0xa51b46d3, 0x9cfa7cb9, 0xe672f60c,
+    0x38b7c9d9, 0x3bee85f4, 0x1f77c477, 0x67bdc8cc, 0x9cd8e2d9, 0x15f0df5d, 0xea594500, 0x42669568,
+    0x6ba58f56, 0xc9988609, 0xb9520d1d, 0x4f6d97a5, 0xa50bc934, 0x1c9e6e4c, 0x949c01c5, 0x61005ccd,
+    0x4f59f718, 0xa2266384, 0xab5944cb, 0xf322cd4b, 0xf99e6811, 0x1532ebbe, 0x5d48be1e, 0xebaaf8f5,
+    0x49673d46, 0x91422bf6, 0x576a4a28, 0xa8d58f4c, 0x91a24344, 0x203b2f95, 0x4c8360af, 0xabd19e22,
+    0xcf0bd5ac, 0x9a3ad1d8, 0x073c62b2, 0xc22a3705, 0x592ab019, 0xe65002e4, 0x1126187c, 0x580641dd,
+    0xe516d052, 0x5f62f516, 0xf977d245, 0x5077cf59, 0x92f9f31e, 0xe9f644ac, 0x2b055fd4, 0xe2cbecc4,
+    0xfff65dd8, 0xe738bbbc, 0xee46df03, 0x1711a0a3, 0xf024ffea, 0x7fc93b91, 0xeee8dacb, 0x3e821894,
+    0xf002efb1, 0xaad83251, 0x25b5a896, 0x1954d442, 0xb54cab48, 0xc200b0f7, 0x1be1616b, 0xd122b7bc,
+    0xf2dc6229, 0xc25adcb0, 0x032ff618, 0xf043af6d, 0x5b35fa84, 0xc61b8442, 0xd9aa1082, 0x7710cfbb,
+    0xa69cc034, 0xf699d3f4, 0xd25de585, 0xcd63f1b2, 0xf3d424be, 0xc75a8ee7, 0xcb00a4dd, 0x15fa66aa,
+    0x05b74927, 0xd4b050e0, 0xf85bd188, 0xdc81b26b, 0xf11664aa, 0xa547e426, 0x22c049d4, 0xa326667d,
+    0x7367b061, 0x2386fa5d, 0x8c858461, 0x68b02f07, 0xf41df4cb, 0x70000f84, 0x14191503, 0x2cdd0bbd,
+    0x0a08dcae, 0x87dc878f, 0x7af241fe, 0xf59d2d49, 0x53bf22c9, 0x00ce0371, 0x54bfe4e1, 0x1dd67baf,
+    0x74f6eb5d, 0x349949a5, 0x7ac65d17, 0xf07604ed, 0x9971f2b4, 0xfb3c9c21, 0x47d7bedd, 0x1c65262b,
+    0x66161225, 0x717062fd, 0x84edf732, 0xef5e6c55, 0x912473b1, 0x643e23aa, 0x9990fc66, 0x0d7064d4,
+    0xdfa9726f, 0x7e2f10af, 0xd0f91e81, 0x35e8e911, 0x749a4757, 0x85e1ea44, 0x9b58ecb0, 0xaa903ef4,
+    0x667725be, 0x808aff75, 0x889c69d5, 0xbd3714cb, 0xa4292649, 0x1246ed63, 0xba3ffba8, 0x073b1a76,
+    0x3b13443f, 0x44f8880b, 0xa1fbf324, 0x275f8e16, 0xca20c48d, 0x2c46722b, 0x5bc6447b, 0xe00a83e5,
+    0xfb827bd5, 0x332947de, 0x96ebb79e, 0x3695731a, 0xe1f31605, 0xc79c929f, 0x393f359e, 0x1fd3ba9f,
+    0x02bf1490, 0x4a4026e8, 0x1b0489c0, 0x5963bd9f, 0x57a4f051, 0xbf22a9f7, 0x1899ce01, 0xb513b809,
+    0xd4309c4f, 0x04efe15f, 0xbf8a9fbd, 0xb4c33a51, 0x1e9c6a2b, 0xaadca6ac, 0x4a460cf7, 0x960bb95e,
+    0x33964084, 0xd98c21af, 0x5cad9fdf, 0x994dde14, 0xfe57eaa3, 0xed313c48, 0xaf8a0515, 0x1d29314e,
+    0xc33ac58b, 0xcc4fb8da, 0x096756b8, 0x084c8e4e, 0x2b4ea6cc, 0x40f93d5d, 0x40ade7fb, 0xf1cc03fe,
+    0x364062c8, 0xdecf4571, 0x27327a20, 0x204a6314, 0x82f0f684, 0x0f6ffa34, 0xb612cfff, 0xa0b67921,
+    0xd5838225, 0xa891e189, 0x43d207aa, 0xcd140733, 0xab1e75d4, 0x6cc28025, 0xf9997676, 0x378b0331,
+    0xc6568647, 0x4f503e29, 0xa11bf776, 0x3d9c46e4, 0x1da1c551, 0xbdc2e1bf, 0x2b47a6c6, 0x3fd43859,
+    0x77e81ed6, 0x040d2bfb, 0x4175feef, 0x9aa4d984, 0x2f171b83, 0x10ebe5a9, 0x59989255, 0x3dc3de53,
+    0x16a86520, 0x61176d16, 0x107b48e1, 0xfe5d6136, 0x43aabc1d, 0x0ce5221c, 0xde18f099, 0x00d9047b,
+    0x95ba87f1, 0x80f225f9, 0xfa751869, 0x3e08a1a5, 0x27cc680b, 0x8a91685d, 0x2e2b39a4, 0x318f773e,
+    0xb0eb81d0, 0x02cd6f4c, 0x5bbf5827, 0x79892b26, 0x5ece9894, 0x534bc6c4, 0x666d5ac1, 0x1f5d4d8d,
+    0x2a36605b, 0x209adf02, 0x2492e639, 0x872d2ecf, 0x725fe441, 0xf075a73c, 0x73bdf62b, 0x3ca58696,
+    0x3179b6c2, 0xd437182d, 0xb861315b, 0x1736f4e1, 0xac9264b6, 0x7be3f355, 0xec071414, 0xb1a33cb1,
+    0xce20b47f, 0x0b8f80d9, 0x4155f751, 0x44b4e8cf, 0x28f7ae15, 0x375a7e59, 0x8788b11b, 0xa27ba4d8,
+    0x7d6e0eb9, 0xfdcbac5b, 0x2a8b3468, 0x26a23321, 0x38a868b5, 0xc642dece, 0xb4fcc40a, 0xb50c7b43,
+    0xd1a12eee, 0xe262bd13, 0xf9a5a946, 0x712bdb09, 0xeceaccf9, 0xed155498, 0xc69ed7bc, 0x410659b8,
+    0x0fb56957, 0xc72d7846, 0xb6690648, 0x142de6fe, 0xae8a70a7, 0xaf460808, 0x6ca6e122, 0xc218b581,
+    0xde5770d5, 0x81e24d97, 0xf4f45563, 0x770472e6, 0x4b989a68, 0xf195a201, 0xd48d7cd1, 0x7a827408,
+    0x5edd4a4f, 0xd6524829, 0x290c776a, 0x17e93962, 0xd7b1e56a, 0x084ca41c, 0x3b411e49, 0xacbd1398,
+    0xea814c73, 0xd1f88edf, 0xd9c48024, 0x9280e3f6, 0xd09ea97c, 0x90546d6e, 0x305bea3a, 0xd5c1ddaa,
+    0x292ce45b, 0x1bf6adaf, 0xd7889c86, 0x9df6f53a, 0xf6bb09d9, 0xa102e3b5, 0x46eb3111, 0xac67654b,
+    0x11a8e555, 0xd1897512, 0x5ca0eb1b, 0x5408fe52, 0x23b780de, 0x29088b8e, 0xcac844bc, 0x2ffecf17,
+    0x1cece14e, 0x80c43ca9, 0x9196e11d, 0x38893041, 0x983f3bd6, 0xaa1eb885, 0x4e50ccc9, 0x003285f8,
+    0x97a30c15, 0x4f47e2a9, 0xa9838777, 0xcb2c956c, 0x0bf6cf94, 0xef285eeb, 0x8e3b2409, 0xe51a3524,
+    0xfc3afe8c, 0x10666040, 0x803ecaba, 0x0bff37ec, 0xa2ff4a3e, 0x74c0e1ca, 0x1a0fbd8e, 0x91844d73,
+    0x9d035e0d, 0x40d693c5, 0xab66723b, 0xcfd3f75b, 0x6dc2b1fc, 0x405489e7, 0xb30d7ca9, 0x9e3f54ac,
+    0xa722c15c, 0x8231e0ef, 0x6ee0e830, 0xd6f7fe4b, 0xd1f2b63a, 0x5261a02e, 0x15088343, 0xa05b5ccd,
+    0xe895314d, 0x84e7865f, 0x6f8dc8f1, 0xe53f4b8b, 0x487cdb75, 0x3181dfdb, 0x0f71cb9a, 0xa2f1caf7,
+    0xc0c5d542, 0x2753e892, 0x9ad82b23, 0xdae94c60, 0x27c9265c, 0x4fb0762b, 0x35a6beac, 0x01ee5915,
+    0x69a89a9d, 0x68714cdf, 0x2b131043, 0x3adc038a, 0x97a65bea, 0x00663b34, 0xa14cb28f, 0x7ad95c11,
+    0x4ea13b04, 0xd431892c, 0xe11621fe, 0x3a3f8e89, 0xf970c648, 0x7ec86eed, 0x199efa1d, 0x12ff8606,
+    0x1e839d47, 0x8399d117, 0x1fead64f, 0x37c847cb, 0x223d4b86, 0x738576aa, 0xfd0ab27c, 0x03dc8559,
+    0x57983e2e, 0x0719f4ef, 0xb6b26a7a, 0xd6d83c7b, 0x4f840424, 0x11f00a68, 0xe0b46f37, 0x5639d719,
+    0x37bf8aab, 0xc0649516, 0xdd6ae84f, 0x5ebd3740, 0x829d141a, 0x90cbaed5, 0xdaa50e4b, 0x4aee1b22,
+    0x0fb0eac6, 0x58661d98, 0x60eac840, 0x9b60aeb9, 0xb67d4063, 0x8d1af8c4, 0xb6c56929, 0xd516047b,
+    0x1c29e552, 0x2b677801, 0x71414a54, 0xab4b4ff4, 0xcb7c84db, 0xeb5bc88e, 0x1d13786c, 0xd635fed0,
+    0xbbd71529, 0xe60b94d7, 0x5c7fa36f, 0xb173c359, 0x28788cb3, 0x28463b49, 0x14bb73f0, 0x19495a66,
+    0xe4da15c8, 0xb0a3b6cc, 0x56b377fa, 0x5cba91bf, 0x5fe93d74, 0x129dc7a5, 0x5bdcb36d, 0x2ae66a21,
+    0xea788cff, 0x58561f12, 0xb273d1e1, 0x03d6ae7a, 0x2e27fa73, 0x82b03888, 0x225ecab8, 0x1d800a09,
+    0xe264f77b, 0xdb09629b, 0xd4d929ce, 0x34ac1a9b, 0xfacc1725, 0xcda02246, 0x125dc42f, 0xe5f3e7f9,
+    0x06121ca8, 0x755a53df, 0x86f41ace, 0x35a38050, 0x571159d5, 0x627fc944, 0x9a89b0b7, 0xa173d832,
+    0xb2904161, 0xec789edc, 0x88fbf43e, 0x2e901f7e, 0x33aa1a3e, 0xf79b2879, 0x542d9e82, 0xf44caeb3,
+    0xe3a216cb, 0xe0b10799, 0xa303f344, 0xf99dab1b, 0xd2b4e3e3, 0x8c176f19, 0x7418f5f6, 0x0f0e1d0c,
+    0x9e5dd2b2, 0xb626a2ef, 0xb343cbe2, 0x49b914cf, 0x06dfa1ff, 0x3ac7747c, 0xc9ed626e, 0x2cd0f755,
+    0x9d2b901f, 0xa38e5f95, 0x8c569ac4, 0x6b492383, 0xd3e9407a, 0x62b7b680, 0x3bb0a918, 0x1366bd74,
+    0x1f444a1f, 0x23a0e4c4, 0x426772fa, 0x7698d361, 0xa9cd90b3, 0x4b628588, 0x6a8ef0d0, 0xdd35e2e2,
+    0xcf8481e3, 0xf55e1e84, 0xf0b0f6a7, 0xf8e371dd, 0x758a0e9d, 0xa77b963f, 0x7f3832b0, 0xbf71455b,
+    0x2ce83059, 0xaa340833, 0xda6cde48, 0x21149c41, 0xb9eb7446, 0xe7c244ea, 0xb760a1bf, 0x425b9088,
+    0xb559c78e, 0x2bffcd12, 0xd2e40459, 0x7debcf62, 0xea7f8bb6, 0xd7412082, 0xed787196, 0x8ff2a5e5,
+    0xb4615ac9, 0x3bda0261, 0x37a28ae3, 0x62814c42, 0x41412cf6, 0xfe52bbf4, 0xcbb62592, 0x057473f4,
+    0x2cd50c23, 0x03318ada, 0x1f8700c5, 0x23f682de, 0x0e8a383b, 0xf3a2908a, 0x1015ac9a, 0x6bc5b5d0,
+    0x2901b7ce, 0xf77b0eb6, 0x6dd5f7f5, 0xbd7c5a16, 0x4de20aca, 0xa57ef5f6, 0x15721c1e, 0x4a7702c5,
+    0x0f37a31a, 0x22cbdb44, 0x0da26618, 0x9067e593, 0x6384b2b5, 0xf603a805, 0x644c8815, 0x332245a8,
+    0x9cce9353, 0x01c8395e, 0xfe26bb12, 0xd5922a91, 0xc9e9ace5, 0xfb42ca01, 0x017e3821, 0x432a6ef1,
+    0x85949860, 0xd8fa207c, 0x2a07f44a, 0x766fcae7, 0xea0ebeb2, 0x30ef9865, 0x25a1b0e8, 0xca4003d0,
+    0x7c86c966, 0xd5dc795b, 0xbc46c659, 0x0e6f06f0, 0x3b48323d, 0x7cf9f5b6, 0x8b238b70, 0x61f48ad5,
+    0xaa53b43d, 0xd58b4d43, 0x70dfab4a, 0x37e49410, 0xaa3b2bdc, 0x5c456f08, 0xea0778b9, 0x97187f34,
+    0x374fd7e8, 0x962371b2, 0x25c4022b, 0x1332c8ed, 0x76feea6e, 0x8c281465, 0x71bd2824, 0xf59f189e,
+    0xcd514015, 0xc0847d8f, 0x79a681bb, 0x7adbff2e, 0xe6bd24b6, 0x5dc0c387, 0xca5d94ab, 0x86137d97,
+    0x2d08a24d, 0x471de758, 0x53350d11, 0x0065b9ec, 0x783ef044, 0x81a2cf18, 0xbeb4b02f, 0x9ee896fe,
+    0xf5439505, 0xc15f9ab4, 0x1a46acef, 0xd373e8f6, 0x215dbd1a, 0x454d1fb7, 0x02428340, 0x68ecfa96,
+    0x705ef7a3, 0x275ff436, 0xadef3602, 0xe68b3650, 0xf554a384, 0xc0fe2cd0, 0x606b201f, 0xe934cc78,
+    0x0bc37b7c, 0x5277a84b, 0x4ca8c2e7, 0x68ccc63d, 0x84d69262, 0x8b5f0288, 0xd053a0cb, 0x3cc0bc83,
+    0xf3896815, 0x825b1b45, 0xad848d98, 0xd67e4b7b, 0x199106b0, 0x6f857dd6, 0x44262ade, 0x7e8b4dc0,
+    0x46431409, 0x24ffe1f5, 0x57d051a4, 0x26d30eda, 0x91acc42a, 0x24c62f2b, 0xbad311b5, 0x38985e0c,
+    0x57e28b1a, 0x41cbd8ce, 0x970cff2f, 0x76f85445, 0x3fb825b6, 0xa0fa77ae, 0xd328bb8a, 0x3780bb40,
+    0x380a08c1, 0xaeaad55c, 0xe559c012, 0x382c7f63, 0x66396f64, 0xf8b1ce33, 0x73fd72cf, 0xd14c57af,
+    0x2b4136e5, 0xfd431271, 0xbcfe3dec, 0x606405c6, 0x32e75146, 0x4dbbbd48, 0xf361cfd4, 0xcb3aed3f,
+    0x6c046551, 0xa9f7161f, 0x42d54ff9, 0x2a827c05, 0xdfb907ba, 0x21b7f21c, 0x3e078b42, 0x58480a79,
+    0xffe795bd, 0x910eeef7, 0x6035b2c5, 0x21ef77a2, 0x33b2e5d8, 0x5b1a2b15, 0x9fd00918, 0x19eee0a8,
+    0x1ebc3f95, 0x06f8bfdd, 0x82db8837, 0xbe8dfdd4, 0xd7fb5b10, 0xab87a84d, 0x1df0ec2c, 0xb3aefc03,
+    0x82566ee9, 0x019c2f19, 0x7ea9c3ce, 0xcfc6aefd, 0xfd267999, 0x895c32f5, 0x6ed4d71b, 0x51bb27c1,
+    0x0aff9036, 0xd843adfa, 0xb01c089c, 0x253c12b5, 0xd08ebf7b, 0x8b3ede75, 0x32f4c065, 0x74991b98,
+    0x8d2df667, 0x134ed8dd, 0x8ea9a8b3, 0xe8b24866, 0xf37d83f7, 0x46ddbe0e, 0x53ea06d0, 0x83d80c21,
+    0x0c609db4, 0x6ab48737, 0x212af061, 0x8835c60c, 0xcb78c962, 0xc5e40232, 0xea178bc5, 0x8e88407e,
+    0x6c6a0d28, 0x747a3a04, 0x73c8432f, 0x01905702, 0x99beceb1, 0x520807d4, 0x92c54090, 0x546c658a,
+    0x74c2d302, 0xd97dc4af, 0xa90fbda1, 0xc9fc8384, 0x135e3825, 0xe8a71f3d, 0xadc2671d, 0xf15977d6,
+    0x86b7ae01, 0x9c4decde, 0x11630bdd, 0x4a9c2dbf, 0x1e0fc771, 0xd3601358, 0xd69110f7, 0xfc1decd9,
+    0xcc5a74dd, 0x5039d2b5, 0x0f6f0327, 0x16496fa1, 0xfce2377d, 0x7633b76d, 0xc765137a, 0x03b5c3b9,
+    0x94a8b934, 0x85d84bc5, 0x7b10b96a, 0x02e53b15, 0xf271935e, 0xda459d58, 0x16f2f494, 0xe0f8c8c1,
+    0xcb07a02d, 0xbbb359ee, 0xfbfaaab3, 0xb64608ac, 0x0a81a885, 0x70693bae, 0xd1eea9de, 0xfe775be9,
+    0x11af005b, 0xebc860fd, 0x058012fc, 0x77ab337a, 0x02a33312, 0xa72039a7, 0x29d99c38, 0x5ab0ea62,
+    0x43c6e9db, 0x02731ebd, 0x5b11086d, 0x611b0d2a, 0x0ab4f061, 0x74fa6e91, 0x3775c111, 0x021ace81,
+    0x9f3e8566, 0x7879b169, 0x93be7c23, 0xf943f8f8, 0x3dc1e212, 0x189b81b9, 0x08d6f5b9, 0x8509496e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000001433436634993794694756763059\
+                          56380433799785311823017570233599302461682679755530300504376159569382855409664 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048,
+    0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d3, 0x17ccd781, 0x0b115706, 0x2e0eda09,
+    0x00000000,
+    0xc8080875, 0x7ddcfcab, 0xc153597d, 0xfd9775cf, 0xf77616a9, 0x9898b67e, 0xe1237ef8, 0xad9925f4,
+    0xd066d6d3, 0x38c1a8da, 0xf9eaaf81, 0x27ba53d5, 0xcb9fb3da, 0xa9ca9afd, 0x0e8c8104, 0x711eb301,
+    0x9550bfc5, 0xb1ced272, 0xd03c3a81, 0x55f4769d, 0xb8bfc127, 0xff25ccf7, 0xf0897316, 0xc0f10114,
+    0xf6674524, 0x240ae505, 0xd69f26af, 0xd0a1d6c0, 0x694fa893, 0xed77a61f, 0xa35a0253, 0x43a73733,
+    0x3eb585dd, 0x9b6729e1, 0x1094dd1a, 0x1467645e, 0x6fa98861, 0x31dddc73, 0x9b847dc0, 0xfb4440a7,
+    0xea31f90b, 0xe5048d55, 0x87758a89, 0x81a1a0d0, 0xc1c9015c, 0x1302721f, 0x0c99c1d4, 0x208e776c,
+    0xb4f0b287, 0x6cd2db73, 0xfe84ece7, 0xafa905f5, 0x708b2a15, 0xf78485be, 0xf2f9bcb4, 0xf844b20f,
+    0x7fc74c17, 0x251cbe5c, 0x6f37e7f2, 0x768ee1fc, 0xfe661c55, 0xf6b95f06, 0x8e5bd3fc, 0xbf084c5b,
+    0x21f368d5, 0x29cb5922, 0x0d85f67b, 0x295b2f70, 0x6c8a78b9, 0xa10682a4, 0xc55becc0, 0x82e0f678,
+    0xbec24d47, 0x9c930638, 0x1cce502b, 0x523bf06a, 0x4d9aa380, 0xf962c121, 0xa7875c68, 0x604ceb03,
+    0x9c605bab, 0xeded1ce5, 0x33295e68, 0x86fa15fd, 0x959dc55d, 0x6ebc11df, 0x9f3a75da, 0x958a8aa7,
+    0xed6a170c, 0x614a4182, 0x2c7b0405, 0x2e1a14ac, 0xd6dfb792, 0x0f9f6cd0, 0xe88ef7ed, 0x1e802d71,
+    0x8eb20a84, 0xabab6599, 0xfcf4f32b, 0xdc4da2a5, 0x68359c2b, 0x8230b34b, 0xc48fecab, 0x05a891bc,
+    0x04e8b3b1, 0x8c346987, 0x1a138bc8, 0xc8a31db9, 0xf4272f2a, 0x276ccdfb, 0x26e0b76a, 0x177913be,
+    0x2881ba99, 0xb585a299, 0x18252d2d, 0x03d67444, 0xe9ef3a0d, 0x30901628, 0xf9317cc6, 0x91eb1a88,
+    0x25d7cf2a, 0xfa53ba83, 0x4abf81d1, 0x996bbbeb, 0x2dce391d, 0xcc32f5d3, 0x9a57a978, 0x90b44b7e,
+    0xbd374b45, 0x0f3421c5, 0xe6256d6d, 0xd10fb912, 0x872f6b60, 0x9c4cb524, 0x56eac458, 0xfde11f64,
+    0x59fc89a0, 0xb44c2783, 0x77223129, 0xdc98bd0e, 0x8df7b4a1, 0x8dff1852, 0xb9f24735, 0x0c11cf5e,
+    0x6b81c842, 0xa782a997, 0xc41a5d52, 0xaf1013e1, 0x20fd4ee0, 0x52d86f9a, 0x09086099, 0xf7b0ffa9,
+    0x93435b82, 0xfae5deaf, 0x4b84f82c, 0xee8037b2, 0xd1b40396, 0xa4157866, 0xb0169141, 0xb019739e,
+    0x31c3de92, 0x1a68a9ba, 0x43a6eb91, 0xe0e9822d, 0x9219d144, 0x8e2babee, 0x7ae4fdb3, 0x72da72fd,
+    0x1f5d8016, 0xe9ad5c2c, 0x15c6f34f, 0x5a783a49, 0xc9fa8c39, 0x7273c44d, 0x5c99e552, 0xedfbf0e6,
+    0xdbe4bc0c, 0x65e1f5da, 0x692dafc0, 0xdfb21553, 0x6a4f2b70, 0x8a6fe399, 0x08440e5e, 0x69f28a79,
+    0x153ec060, 0x284cf87b, 0x9a9d986a, 0x287522c3, 0x04e08bac, 0x9508860b, 0xabc7185d, 0xf795c5a5,
+    0x08eb7360, 0x36ca400e, 0xbbe5bcdf, 0x21dd8185, 0xce79188a, 0x4b8907a9, 0x1a757bcd, 0x7369bd56,
+    0xdfc737de, 0x236c774c, 0x1de56033, 0xa5750403, 0x91a55ea9, 0x29a1a320, 0xb29288bf, 0x85fe5d44,
+    0x8a57cb2a, 0xbfbc59e2, 0x92cce937, 0xa31122c3, 0x6e9b7ff5, 0xef5b2218, 0x162af380, 0xaab1e117,
+    0x78278f03, 0xebea6a4a, 0x7771d7f0, 0x37f7a431, 0x3ee35a9f, 0x8885b435, 0xde275868, 0x151bae43,
+    0xe77016b3, 0x881348f5, 0x3cdadec4, 0xd091d2de, 0x9dcf5984, 0xebe9ab5e, 0xdd9559bd, 0x9828e22b,
+    0xdd8aa571, 0x26fd7685, 0x238405fb, 0x69a03849, 0x5ef1d8b3, 0xe49cbd4a, 0x4b619cd4, 0x3717cbde,
+    0x4b51e773, 0x20bb03c4, 0x04a95973, 0xaa54cec0, 0x329c544e, 0x7eab20ca, 0xf06ae494, 0x93a1392f,
+    0x048f4ef1, 0x49ecc108, 0xb3a076bd, 0x481c391b, 0x42903c00, 0xa844f81e, 0xfe445268, 0x9668c6e9,
+    0xf0a99dde, 0x8b6af09e, 0xdc83a51f, 0x8121136b, 0x888a29af, 0x5d719431, 0xd1d5c2b7, 0x4392aba6,
+    0xd4885ef9, 0x57af8a30, 0xea49122e, 0xaf727587, 0x3500a6d1, 0x272c6625, 0xcfc8dea2, 0x04367611,
+    0xd6ad944b, 0xbb8cca9b, 0x11bcc0d1, 0x5bd9d11e, 0x9b61672d, 0xf1a07c97, 0x343b3cdb, 0x2e013a98,
+    0x70eeec47, 0xba6b3b2f, 0x0e47b104, 0x4a4fbcb2, 0xa817c146, 0x1e63c65a, 0x72ca9123, 0x3ec03810,
+    0x9318c92d, 0x0cc24e21, 0xf4aa2c04, 0x501234a0, 0x13f7ac8c, 0xd2750926, 0x73c735ac, 0x71a590f5,
+    0xbc734f04, 0xa3fe5844, 0x420bafb8, 0xa58ce142, 0x1417be1c, 0xfe3b19d4, 0xd5dd7ee3, 0xc6e1834b,
+    0x3684d8ae, 0x5b3a2194, 0xe7319047, 0x029aa210, 0x94892acd, 0xb6fb177d, 0xd58e6f74, 0xe2a2b2f5,
+    0x855666bd, 0x42d4b6ca, 0xc20667a1, 0xda74ae9a, 0x23f047db, 0xbe118911, 0x09ed3b0e, 0xc4d3807e,
+    0xc0c59d33, 0x3f930eec, 0xdb148d8a, 0xd032c149, 0xf29be2c6, 0x2bba3b3a, 0xe83683fa, 0x4e2de6c2,
+    0xbdb4f791, 0x983d80e0, 0xadbce6a5, 0xbdd50460, 0x3487988e, 0xe56163a7, 0xc7e334e6, 0x77d7d185,
+    0xd2245945, 0x1cde5bca, 0x0eab16ef, 0x7d89ef00, 0xff8d7d1e, 0xc32ef6fc, 0xd6f8509a, 0xd6261160,
+    0x4d5d2b6b, 0x2caa2670, 0x27cebb2f, 0xe0f544e0, 0xd1062da5, 0x29f7cd4b, 0xd87a1eb0, 0xc1ebdb5e,
+    0x9f0428e1, 0xef8b6cbb, 0x258c04d8, 0xe6389956, 0x44290b9b, 0x68a10470, 0x367b425c, 0x9f1ffdd5,
+    0xb853583f, 0x27fe3d02, 0xd81f5f58, 0xf052c9ba, 0xbf478909, 0x1c331e91, 0xaef1086c, 0xb137cd0f,
+    0xc76cdbca, 0x2cf21e01, 0x6b6f9a6d, 0xcd3f3844, 0xd77e5ea2, 0xebb9184f, 0x69d0b768, 0xb5e7a290,
+    0x4d142fa4, 0x7b693b05, 0x87f37162, 0x0a3fe558, 0xe19a7324, 0xa943e54a, 0xe171af6c, 0xb8306f14,
+    0x1cf9715d, 0x22fc344c, 0xfe96ea4e, 0x3852d1b2, 0xa140d973, 0x7e8065d0, 0x248249c9, 0x5296d355,
+    0x04d4848d, 0x1f18bc0c, 0x54326267, 0xdc1ec249, 0xcf3842a4, 0x0dcfb870, 0xe3a19ec5, 0xdecf1786,
+    0x7ebdfe27, 0x904a75a7, 0x6ab43bd0, 0x852bb758, 0x7ea8fb67, 0x05bee0cc, 0xa513acb2, 0xc005056f,
+    0xe5c62ba2, 0x84d7b8aa, 0x9a1a6cc2, 0x118d61cf, 0xcd845fae, 0x55285789, 0xfa7381ff, 0x7f15ddb4,
+    0xd90c2356, 0xe3c5e619, 0xfae6f3fa, 0xdf9527af, 0x5d9914b5, 0x3fe2046d, 0xa8732474, 0x3d771b0e,
+    0x7589c328, 0xe887e5a9, 0x8abeaa4f, 0x4132f529, 0x4f82bb51, 0xcc26044c, 0xd6978978, 0x4d90ba7e,
+    0x7b03728c, 0x0959571d, 0xfc839361, 0xca275c97, 0xdc08624f, 0x18ed5111, 0x92517132, 0xae487aae,
+    0xdee5f48b, 0x993af973, 0x1e617ff5, 0x283a545f, 0x50dc21e5, 0x7bbae528, 0x1bd28d1f, 0x8322a54e,
+    0x5efa1312, 0xb8c8c8c5, 0xaf794031, 0xa0631bbb, 0x1e2bf62c, 0xbabfa944, 0x86a25a43, 0x35f326e4,
+    0xe28f9ba1, 0xe4548070, 0x71899031, 0x3f6a7c93, 0x8581a0c0, 0x8e7a4b97, 0x86cab876, 0xb209e719,
+    0x1d29636d, 0x4c84c84b, 0xaa1dfd94, 0xdc2de67d, 0x85867721, 0x69909d4d, 0xbb38b78e, 0x558a5880,
+    0xa0797a1d, 0xd49146d4, 0x2232939d, 0x7cacb36d, 0x55da69ee, 0xf031068f, 0x524565d8, 0x2279c412,
+    0xa6f261df, 0x4cdbc09f, 0x45c4343d, 0x80712fbc, 0x9d265e3b, 0x1a2bbe8d, 0xed1a4666, 0xc303b04f,
+    0xdc2cdbc4, 0x3abffb6e, 0x856eb32b, 0x9dab1ab6, 0x0491d862, 0xfce7d252, 0x4e4d49c3, 0x1765389d,
+    0x173d692a, 0x9efa6f36, 0x7941369f, 0xbbbd2aca, 0xfdf01ee3, 0x8051fd8b, 0xa62db56a, 0xa099eafd,
+    0x65882b67, 0xb4b1233f, 0x2c1bad0d, 0x1572a616, 0x488f80ce, 0xdeb78367, 0x8df42ccd, 0x12508526,
+    0xff9b18f9, 0x89fdfb15, 0x2f0bfb58, 0x509e221e, 0x1aeeee1d, 0xad626f0c, 0x15d8b93f, 0xcc7438c0,
+    0x1fef14d6, 0xa97bce87, 0xe475bc3b, 0x11bd2c3d, 0x87309cba, 0xb55bed5b, 0x9a60f98b, 0xe45e9dfa,
+    0x29058e34, 0xed9ab098, 0x03916135, 0x8b8bc51f, 0x67a03c10, 0x9d66fedc, 0xdb99a713, 0x09e600a5,
+    0x07919f4b, 0x62a2dc79, 0xd00e3a84, 0xaea3dcdf, 0xe8944552, 0x3d6bcb9b, 0xaeacf5cb, 0x701057bf,
+    0xe88d084e, 0xde525ed0, 0x7a94a545, 0x4934b9db, 0xd24e805f, 0xacece636, 0x2b03a28f, 0x61a5218b,
+    0x63074ab0, 0xa12ab5e7, 0x103ecb3d, 0x84c056e4, 0x7a86c8f5, 0xaffa8725, 0x8c340045, 0x72618ee8,
+    0x6935bf37, 0xb5ecec79, 0x3cf0a0fa, 0x107d7696, 0x041202be, 0xf3b1b947, 0x15eee890, 0x4c9dc7f4,
+    0x119c2537, 0x567bb98a, 0xd972bb94, 0x0cf78032, 0x7c2dfbe2, 0x291bb1b1, 0x0df71fa9, 0xdad992de,
+    0x3e9fc042, 0xf552a9a6, 0xce97d8c5, 0xef557bc8, 0x539b5555, 0x082a18ac, 0x0b3d6951, 0x1e486882,
+    0xfaedfd0b, 0xeef26b91, 0x693e03ce, 0x168f46e9, 0x838170b7, 0x097f7978, 0xd919de4c, 0xa661f604,
+    0xb988a5b2, 0x2d42c54d, 0x819f9ba4, 0x1d67c475, 0xe2c01c65, 0x7df08b78, 0x366b4d8d, 0x34d2b19a,
+    0xdadda1ff, 0x94d4ea3d, 0x96e825e4, 0xce39fabe, 0xb46baa8d, 0x1d7dc47a, 0xde9b536d, 0xae99727b,
+    0xe52d66fa, 0x7565ac37, 0x0037df4f, 0xa66414f0, 0x2f9a5ec7, 0x672e2e0e, 0xd48b9956, 0x8339a8b8,
+    0x777a3384, 0xe5a62df1, 0xfec82dca, 0xb57dfb57, 0xb6916e28, 0x884088ac, 0xdf6dd5d5, 0x2b218974,
+    0x59096af4, 0xe4ee4dd5, 0x91addf40, 0x08efac1b, 0xe6826792, 0x1d6363e7, 0xccb91b61, 0x383bd83a,
+    0xddc66ac9, 0x67079018, 0x2d1edd9f, 0x01bcedb1, 0x885b1fd7, 0x867c5def, 0x4050ff3d, 0x197ff8a7,
+    0x29fcf2f9, 0x8997fa43, 0x496e3003, 0xdb296d5e, 0x85bc7115, 0x4f1817bc, 0x0c25a3f5, 0x2bac7688,
+    0x470a084c, 0xe8f33cd4, 0xc7813a91, 0x6fa3aca5, 0x2eca5a1b, 0x99b4c356, 0x15ab6769, 0xf25fd6bb,
+    0xfddc3c82, 0xcf468df6, 0x39ad1e77, 0xca59065e, 0x1a203745, 0x7a6aa537, 0x152bc875, 0xb72ab923,
+    0xd262ae57, 0x8f500d1f, 0x3816f2f7, 0xe4422018, 0x4d97ad41, 0xe9f28d73, 0x2273429f, 0x0b78e77a,
+    0xa49dd2c4, 0x96f827e0, 0x8a2bd00f, 0xfad38347, 0xb711e119, 0x18524708, 0xae5b3ea8, 0xaddf02a0,
+    0x531eb01b, 0xd310fb8a, 0x64f38f2e, 0xfbf61cfb, 0x08c41825, 0xae0dd300, 0x4bf97763, 0xdff6fc46,
+    0x56b63df2, 0xd5482031, 0xfaad0888, 0x7178d957, 0x3fb3b1ac, 0xd377a443, 0x05e9bb59, 0x826a9934,
+    0xa4a525a5, 0xfcdb2a4a, 0x97274041, 0x4c0c97f0, 0x774d7f5d, 0x7f8fdeb8, 0xe4437173, 0xd0f92ee9,
+    0x7c4dcdde, 0x1aad8dda, 0x7cc0280b, 0x5b00fd05, 0xba76e915, 0xdae3c548, 0x54ef65a6, 0x9d8b4840,
+    0x1adbd5b3, 0x1d12cfe2, 0x18b1cbb5, 0x8d425865, 0x3bd0de48, 0x35fb7b0c, 0x07c62d92, 0xfdf1b9ce,
+    0x2148d746, 0x5a6aaa15, 0x24b3b2bf, 0xe367b945, 0x87afbeaa, 0x18a85a3b, 0x7e5f65c2, 0x0afd7900,
+    0x99748a60, 0x618fb125, 0xef9832d9, 0x06b3d597, 0x53e79e51, 0x0275ca5c, 0x86dc3494, 0xfead81ab,
+    0x6abfbbc2, 0x18fe5753, 0x88db931f, 0xe9d2e224, 0xc9a2f765, 0x2641e731, 0xfd9fd6b5, 0x26919458,
+    0x8ac855ee, 0x81bc0729, 0x66be286e, 0x22e9c310, 0x6ea5f388, 0x4c655b88, 0x02ee60c0, 0x8cc84b2a,
+    0xde5168a0, 0xcaf94be1, 0x907458f8, 0x1b02e332, 0x0ae6bf45, 0x9095f9c6, 0xdca94750, 0x8bf0ebd4,
+    0xbbdfaaa6, 0xb1b9fb82, 0xcb41ccdf, 0x6bb1efd2, 0x66652104, 0xab233755, 0xb531a268, 0x8eed537b,
+    0xc40b21b3, 0x6f279f2f, 0xb5802647, 0xddf10eb0, 0x94df4a2a, 0xd7fa624d, 0x4cdd9af0, 0x218a2410,
+    0x725f848f, 0xb6f4924d, 0x7b468144, 0x6b130982, 0x3a43e301, 0x6063fa4e, 0xb28ac9d3, 0x7b56b497,
+    0x596127d5, 0xe84f8ea4, 0x27ccf58c, 0x90c0be0a, 0xae58741d, 0x8968a0e6, 0x1c1c9416, 0xa18ff1f1,
+    0x207976f6, 0x098aaec9, 0x6663a953, 0x61fab2d3, 0xfb797ec1, 0xe33394dc, 0x20106994, 0x9c9e50c1,
+    0x33825f12, 0xdb80e1d5, 0x8b40af8e, 0x8ef05893, 0xad882e67, 0xb53d6414, 0xf1e7d37b, 0x9f2e8eea,
+    0x5e341079, 0x90c860cd, 0x4cd474ae, 0x5b7ee654, 0xd1705df1, 0xa15c164c, 0x27181dab, 0x67d77132,
+    0x2c6c3da6, 0xb623ebac, 0xa7c3c3c5, 0xe94c193a, 0x9dee8377, 0xb48a7703, 0x36d45bc5, 0xeec4d38f,
+    0xba1cac70, 0x13a7bf8c, 0xb2228763, 0xc71c9f54, 0x86d8d8d1, 0x1858bc6e, 0xe3027a23, 0x44941246,
+    0x6c1a66a6, 0x31d676a7, 0xe25c284b, 0x58635219, 0x85b3c6f3, 0x75379447, 0x3164ed7d, 0x2cc693f7,
+    0x4e3d125b, 0xdc4b8e6d, 0x1dc71328, 0x6526a096, 0x7f518c08, 0xdf24e3e0, 0xca1dbd32, 0x50073273,
+    0xb26a9150, 0xe5875e0e, 0xd8ca8196, 0x10c6145d, 0x7434ebde, 0x8e75e48b, 0xdf3376a4, 0x227cede1,
+    0x8f06eb9c, 0x304be976, 0x220baf66, 0xcec4c543, 0x1dbb2d3a, 0x53efe128, 0x725e6f38, 0xb147e45a,
+    0xeeccfade, 0xa6f6e9d3, 0x4f929678, 0x2aad86ed, 0x5d7e85aa, 0x4877abdd, 0x778a3af8, 0xf14fcfa3,
+    0x0655084f, 0xe139549d, 0x8c975867, 0xbcb30c43, 0xd9104de9, 0x1470e746, 0x7f763d57, 0x18460eeb,
+    0xf79f961d, 0x870db742, 0x11241204, 0x1b10404c, 0x03ae8916, 0x391af557, 0x2703c0d9, 0xda93537b,
+    0x70366856, 0xaf9ecb8b, 0xfaa4df78, 0x8a94a3ba, 0xd16858e5, 0x9499fcab, 0xaa35bcad, 0xdacfd9f4,
+    0x5fdde2e0, 0x4137672f, 0x12f7523e, 0xe1a2514b, 0x069da32c, 0xd0d392b6, 0xf4986da8, 0xefba0e2b,
+    0x2209c4e6, 0xcf667dba, 0x895ee0ad, 0x4ff21cd5, 0x7948102f, 0xb1a71d50, 0x2f6b7c97, 0xb60cd188,
+    0x4caa43fe, 0xf3ee36b7, 0x7aeba8a3, 0x45747cef, 0xd7503d4e, 0x84ab4f39, 0x161dd6d8, 0xc4c1ef1e,
+    0x1df44ea7, 0x80d1d9bb, 0x638188cc, 0xd71fda08, 0x8f61a5f7, 0x6286d938, 0xe5ed9152, 0xa2e6eff3,
+    0x397087d8, 0x066a8107, 0x03c30d14, 0x702b1455, 0x2671d439, 0x08abf6c1, 0xffe60395, 0x95b108e1,
+    0x5febadf5, 0x31e0cae2, 0x5da24db8, 0xc45ddbf6, 0xc352acde, 0xb92df3da, 0x3c39b51c, 0x3f4d2272,
+    0x9f443770, 0x0cb3f9aa, 0x12d06b61, 0xdbeb9b4f, 0xe805ddbc, 0xb8f7cd4a, 0x339343d4, 0x9e624b82,
+    0xdad58718, 0xed5f7cff, 0x238b73ca, 0x33363fa0, 0x048d5d47, 0xa791aa9a, 0x4a9b10d6, 0x8cfe158d,
+    0x670a29bb, 0x0f2d67ed, 0xe04f6419, 0x03884edf, 0x2f338732, 0x709342b3, 0x902de959, 0xa01387b9,
+    0xb992fa7d, 0xb98fc426, 0x814e1dd1, 0x4cb1abaf, 0x488cb2c4, 0xc7f1745b, 0x0eff8fb1, 0x3e643cdc,
+    0x7a14b97c, 0x40d4d8f4, 0x4e5f90f9, 0x61fe4c3e, 0x8b0f81a2, 0x7e38b58c, 0xa82e3aa5, 0x7e044136,
+    0xf167143c, 0x30dfcbc9, 0xeac850ed, 0x298135e0, 0xe380d7a1, 0xb9f31703, 0x6a63bfaa, 0xa0bda83b,
+    0x3b490161, 0x1c953826, 0x3a062180, 0xc925180c, 0xb86dcfa8, 0x5ac4c6d8, 0xe847b48c, 0x31d4780f,
+    0xa5c3859a, 0x83b115dc, 0x2bffb485, 0xcb1e078b, 0x068d28ac, 0x743d0bcb, 0xa1d266a8, 0x6f774a9f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000716718317496897347378381529\
+                          78190216899892655911508785116799651230841339877765150252188079784691427704832 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024,
+    0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e9, 0x8be66bc0, 0x8588ab83, 0x17076d04,
+    0x00000000,
+    0xa003368d, 0x23330ec8, 0x28859972, 0x386ccee3, 0xcd17c742, 0x5091c9df, 0x7a30a281, 0xd893fd6e,
+    0xdda2b23c, 0x1dbb4c8f, 0x62ef62a9, 0x268f1570, 0x4869d5ea, 0x54c16582, 0xc4cbf9df, 0xcf31377e,
+    0x76df93a2, 0x4e815c7e, 0x9390d09c, 0x84e2dcc8, 0xeb938e6d, 0xa0375242, 0xae5a8b25, 0x6f337c0b,
+    0x2e6fc382, 0x34513da8, 0x4ed33474, 0x1fd39839, 0xb0441e6c, 0xad43c8d6, 0xe605bafe, 0xc3db9cab,
+    0x84cd711a, 0xd394ddda, 0xbe78c37c, 0x3996594b, 0xab5cb7b5, 0xea13ecc9, 0xa5ef9a28, 0x107a3f56,
+    0xa180bc9b, 0xe3b3bc38, 0x52bb52f0, 0x11eb5159, 0x2b23871d, 0x2142ad7a, 0xd358ee63, 0xe43580a5,
+    0x4c12905e, 0x85024cde, 0xf27c4e07, 0xe5120201, 0x7d5e3dec, 0xbb15b40e, 0x15f5267c, 0x4b3991ae,
+    0xd9b71e2c, 0xfe2c41af, 0xe21c4287, 0x8f706ba4, 0x0e7203d9, 0x235ecd6d, 0x20d50e44, 0x85efe8ba,
+    0x406c851f, 0xf652d466, 0xaae68f50, 0x45c09f73, 0x3476e056, 0x2e901257, 0x8fe4b877, 0x0ec82efe,
+    0x15676fb1, 0xc3a4959c, 0xa22eb8ba, 0x110ad1b7, 0xba943d9c, 0xc3e267cc, 0x1d39f487, 0x18b76fbc,
+    0xcc898b43, 0x5d96f1f4, 0x9f6fb25f, 0x58b8e199, 0xa7e19dc6, 0xa4bf7b90, 0x5173bf62, 0xdcb19cb5,
+    0xcdc2efdd, 0x07943c9e, 0x56376e28, 0x4a73c06a, 0x40948e47, 0x58340d2e, 0x40f96fd4, 0x9f80b931,
+    0x4fb775b8, 0x60618efd, 0x95acef07, 0x9b7669dc, 0x47c657ad, 0x9f3b849c, 0xb9adf5e0, 0xbe1886f8,
+    0x0bebce03, 0xbe99a492, 0xf0fd50c0, 0xceeecb4b, 0xd6f625cc, 0x860d81b4, 0xc77dbeef, 0x3612256e,
+    0x8928bfaf, 0xd4c3b29c, 0x5aad492f, 0x5ea37095, 0x1a1023c9, 0xea9759da, 0xd9d596d7, 0xf913fe95,
+    0x73a0489c, 0xc337ec55, 0x3bbb25b3, 0xf461fafc, 0x2620819d, 0x3f41530d, 0x370ed705, 0xf573ea3f,
+    0x6e46499f, 0x86544689, 0x3bdcf374, 0xf7a38c75, 0xde92dfe8, 0xe893ea5d, 0x2024c7a8, 0xac1c3cb8,
+    0xd7941491, 0x4ab4bfaa, 0xeb563ad2, 0x56b8c25b, 0x0c91af01, 0xa9585afb, 0xb2f820d0, 0xbc8fd45e,
+    0x112fe402, 0xd15428a6, 0x00dcc60e, 0xf438df7b, 0x30482e66, 0x28920add, 0x64ef919f, 0xd8e97239,
+    0x1ad42f1c, 0xf6aa00be, 0xe6f9213a, 0x23450a27, 0xd1d84be3, 0x6750fa7c, 0x42eed522, 0x757cc303,
+    0xdd2436c3, 0xade42b78, 0x801eb0fa, 0x29be65e2, 0x0f988d23, 0x187c3fb4, 0x1e1d79a9, 0xfa4d4b8a,
+    0xeff5e585, 0x4e7ba16b, 0x44882a04, 0xccb2a49d, 0x983b5702, 0x710f4c4d, 0x8fcb869b, 0xe9c56353,
+    0xc0c83f90, 0x9ad4c6a2, 0xf0f49c24, 0x9fa63ebf, 0x4677cb4f, 0x3a2d5dbf, 0x0de8cabd, 0x71a1e7c9,
+    0x1ce9fff4, 0x5a33c9dc, 0x140d4140, 0x42fcd634, 0xdc9fd8f6, 0xb0e0926a, 0xd42c2fab, 0xe3c6a6a9,
+    0x990932a3, 0x7120541d, 0x0f781141, 0x03331424, 0x58c73bd5, 0x238c6e74, 0xffd9dc7f, 0x6d639142,
+    0x7029168e, 0x87639493, 0xed567188, 0x5e3e9cf1, 0xf33faa62, 0xf1c1a3f1, 0x697e7ee0, 0xf7733496,
+    0xb52af280, 0x29465875, 0xb9ec4d1e, 0x5d408bdb, 0x0dacaf37, 0xe96f6ae2, 0xe554dfe5, 0xc2debecf,
+    0xaafbdedd, 0x955fb595, 0x8d0132a0, 0x9dc259ac, 0x46aa1f5c, 0x2ab04100, 0x60394ca7, 0xbc84b6d6,
+    0x37f31956, 0x4a23cb09, 0x91737dcb, 0x6fd6a3e1, 0x1f5ab9d7, 0x5e597a90, 0xcffca246, 0x1d452287,
+    0x30a4e223, 0x05462468, 0x91af8599, 0x9bf55fac, 0x992f267d, 0x08a1e285, 0xa78c1a2e, 0xa593c344,
+    0x6dbdda0d, 0xe17f41aa, 0x897186e2, 0x203bd44f, 0x7fd8570b, 0x76277235, 0x4fae1846, 0x18a28ba4,
+    0x0c8beb70, 0xaef784ea, 0x2dc2e1b4, 0x4ef326ec, 0x26668570, 0xc8801bb4, 0xced6ae3e, 0x0896492a,
+    0x88feaf8a, 0x536251a0, 0x2bde7a2c, 0x278d749c, 0xd5545a73, 0xf2113963, 0x310fa344, 0x7bc9abad,
+    0x101dd036, 0x020365e9, 0x11c9278c, 0xfd645172, 0x0a29ce0b, 0x05fbb7cd, 0x131d02b7, 0x243aacc7,
+    0xb43033c1, 0x1a6f821d, 0xeed5ea5d, 0x62c85ddf, 0x4816672e, 0xb40da1ef, 0x78500988, 0x2585f64b,
+    0xa7aa9dc9, 0x4d0937d3, 0x017a59ed, 0x0d02fb92, 0x54be1500, 0x1b699f2a, 0xc2dd9a13, 0x225697f5,
+    0x3f2c1695, 0x2cd7deb4, 0x9f3d2929, 0x690a9697, 0x95229174, 0x9831fb30, 0xcf37cf70, 0x48b12777,
+    0xb748502f, 0x695483d8, 0xb0794abb, 0x25811fee, 0x0e703f74, 0xf9d04763, 0x25c31d14, 0xf9d4f17d,
+    0x2d4b81d6, 0xd63af28f, 0xcbbd7af8, 0xf922bb0d, 0xe7de384d, 0x15f1b61f, 0xf80a98a9, 0xcdde14cc,
+    0x28c76b3d, 0xa4267152, 0xbb2fbccd, 0xab8f8773, 0x5efb3d3b, 0x4af27338, 0x05861905, 0x8ff155f1,
+    0xd66edd39, 0x5d11ce27, 0xf05bc130, 0x5b1ab2f1, 0xb2752a9b, 0x3aef49e2, 0xb814f8e1, 0x73057752,
+    0xd9811e67, 0xd62937e0, 0xb655a117, 0xff7df3a6, 0xd66c0497, 0x991936a6, 0x3cc757b4, 0x8d120d3a,
+    0x3908a0d7, 0x2126f6ee, 0x47a3db32, 0xc8efb2e1, 0xc498ca3f, 0x4e428743, 0x8473dc29, 0x210e6ff1,
+    0x504671bb, 0xabef5aad, 0xb0f7a5ec, 0x3f4d813c, 0x214e8060, 0x78462566, 0x075c2b34, 0xf07c533d,
+    0x6164b6d4, 0x9bd51c93, 0x698fc9bd, 0x13b86dca, 0xfbb7afc9, 0xded9bcfb, 0x9f10a1e1, 0xa1fc5097,
+    0x2edbe98c, 0x9bed4eb2, 0xb28e6a61, 0xdc63c6bc, 0xc5e80218, 0xb4885c31, 0x801f4e9c, 0xe075ecc9,
+    0x78db6d00, 0xce7aaec3, 0x5b618c3b, 0xb3b68cd0, 0xc731da46, 0x3920426a, 0x0a060012, 0xcefc3654,
+    0x05bab3bd, 0x8dabb3de, 0x7d17cc97, 0x4a7fdca8, 0xfc1ff9cd, 0x0ee5352b, 0x71131887, 0x120fe9c2,
+    0xec5917b4, 0x2684b833, 0x7bb6abf8, 0x19942595, 0xc6ee4ee5, 0x8a963d56, 0x47f1dbaa, 0x7af12283,
+    0x68787286, 0xa7e14276, 0x4f7f1e23, 0x054978f0, 0x62aea435, 0x91f573d4, 0xadccedd2, 0x0b1332fc,
+    0x17d69a2e, 0x039b2b1e, 0x5980e6d5, 0xe9216a63, 0x6abd283e, 0x7e27ce72, 0x5373f745, 0x13d5424f,
+    0xd8a6ddd3, 0x031f35be, 0xb58b4ba1, 0x12d640ac, 0x6bf25db4, 0x86bd6d90, 0xdd384ae2, 0xaeb8a1e4,
+    0x78428d80, 0xd47aad33, 0x81323b70, 0x145aa829, 0xd53c15f2, 0xbc5c4f94, 0x0e7417e4, 0xd77bc908,
+    0x8ed0a6c2, 0x0b81784c, 0x775d42bb, 0x9ead9a21, 0xc713d777, 0xcc0e5d88, 0x42bf183e, 0xd19252f1,
+    0xb872b76f, 0x47f76c9d, 0xcbcc6353, 0xfd4c6c2b, 0xfe1c31bc, 0xc758e97d, 0x3141c335, 0x2a697668,
+    0x09f8db75, 0xb56a8c39, 0x9502bb74, 0x8123a044, 0xc7bf14f3, 0xc02e76b3, 0xddf42dcd, 0xb94609f1,
+    0x3903902e, 0x30a1d0c5, 0x96cbafa3, 0xc088b707, 0xdff84618, 0x672d7490, 0x9f917674, 0x50900a9f,
+    0x59901d59, 0x64b09ba3, 0xc082c0f4, 0x55f4eae7, 0xc567c895, 0x9321c4d0, 0xf0b5d3ae, 0xb8b102de,
+    0x212c438b, 0xaadb1e09, 0x388c63f2, 0x3baaeb74, 0x58de908d, 0x33105c09, 0x8f66829a, 0xc3f3d275,
+    0x2403fcf6, 0xce83436f, 0x4adba6d5, 0x62dc4c96, 0xf60aa1ac, 0x5fc0a696, 0xdf43401c, 0x5e36ae7e,
+    0x9f0b2e5a, 0xb275e0b3, 0x89ffa739, 0xd194fc68, 0x66cc3f7a, 0x18ae54b5, 0xf3858095, 0x2b6f0de0,
+    0x6fe62a1f, 0x028fa296, 0xfff1d2d0, 0xce2f0666, 0xf12d2459, 0xe32b2b01, 0x9ed27434, 0xfbb50d1c,
+    0xf8ce45a0, 0xb929c753, 0x75c57695, 0x28ca1388, 0xd17f3f90, 0xdf27da42, 0x634d50ee, 0xf3c2740a,
+    0x7e95b2ac, 0x9e52e41f, 0x979e7646, 0x807cfbcf, 0xe1a539f2, 0x2e78feb4, 0xebe3276e, 0x4efed7b8,
+    0x7c14ee3a, 0xb1cee50a, 0xc5e82788, 0xdf48c4fe, 0x3379070c, 0xf0642de7, 0xaab48c3a, 0xc34f94fe,
+    0x8e665f40, 0x32adf867, 0x18a8da81, 0x902a4137, 0xd7545259, 0x6aceb1a9, 0x34c4b999, 0xfd42cdd3,
+    0x38f5bfc2, 0xde3a84a1, 0xd4aec7e6, 0xe5806841, 0x6aa6bca8, 0x13d49ce8, 0xc765d5eb, 0xdc741406,
+    0x645da6ae, 0x2ebd39c1, 0x4bce0a99, 0x17727c70, 0x9c80c648, 0x3c5d32e4, 0x7cc69b6f, 0xe2689b87,
+    0xbce93aa0, 0x96e93b9e, 0xdc294b87, 0xcb6503f5, 0x8a625bc0, 0x6badbfcb, 0xb914e25b, 0x1224e25b,
+    0x3f4f6259, 0x267ad85a, 0xc4ad9d33, 0x6055c16f, 0x59e792e3, 0x081304e0, 0x54804f08, 0x4142d90d,
+    0x90decdea, 0x9d220931, 0xd99066aa, 0xebc56c4d, 0x9524e91a, 0x4fc1d562, 0x982b6b2d, 0xea082467,
+    0xc8fabe41, 0xbdc2d365, 0xbe582897, 0x522dd40c, 0xf32b8886, 0x216a9c54, 0x06002b85, 0xaec3f912,
+    0x8cfbf0d8, 0xad37150f, 0x0b7ab2b3, 0xa5cc12bd, 0xe4a98f29, 0x54ba98cb, 0x869969a2, 0x4fc6776d,
+    0x266e22eb, 0x621ab9d5, 0xa6c14875, 0x2acd6fb3, 0x5be31276, 0x2a99952e, 0x916a0fc6, 0xbd0e5374,
+    0x9c79ebb5, 0xdabb60ba, 0x120fa91c, 0x68464491, 0x1441a11c, 0xb30c0532, 0x68d8906e, 0xa3a6447d,
+    0x76812d40, 0xa3bb5348, 0x5accf065, 0x4f1bec24, 0x08b5065b, 0xe52d605c, 0xf2ca6abc, 0xba40cbc2,
+    0xd89cb13e, 0xcd9a92c7, 0xca7853b9, 0x916c994a, 0xf2a0fc29, 0xc8157878, 0xfcbaccfd, 0xed1c8296,
+    0x978b83cf, 0x9ec742ee, 0x780bf634, 0xfe993ae6, 0x23b585e2, 0x7899cf00, 0xa50464ba, 0x9224dbb7,
+    0x8a9f8fa9, 0xdec6e97e, 0x312f39b5, 0xa3393ce7, 0x93bd1a1d, 0xb4734f9c, 0x8ffe8479, 0xe657a9d2,
+    0xda56ce5e, 0x1f1a5644, 0x7ae01790, 0xbd3701fc, 0x950128be, 0xaa008203, 0xe8bde579, 0x32a53918,
+    0x522da4e5, 0xcd5761cf, 0x819aacda, 0x63d311e0, 0x7878be2a, 0x5162a93d, 0x9c052a31, 0x533fd753,
+    0x2be4f9d3, 0x1f24df17, 0xee9e5d51, 0x473b5235, 0xb16f0059, 0x02ec7a67, 0xc44da4e4, 0x1f2b859c,
+    0x7e1d9c0d, 0xb77174fd, 0xba7d7e33, 0xd22e6c7d, 0x99c3b321, 0x0880ad6c, 0xc28de573, 0x536e44b8,
+    0xaa32a541, 0xed0e3c5b, 0x99e0389d, 0x25456591, 0xc1cf3757, 0xf1a3c959, 0xaa126d7e, 0xd507394b,
+    0xf4393345, 0x5675c8c3, 0x00b8c06d, 0x4829ee6b, 0x3343e7dd, 0x44fd196d, 0x9d6a3f85, 0xc457cbba,
+    0xf70faa7c, 0xa3787467, 0x429c218f, 0xbd24d0d1, 0xccbfbc8b, 0x543d0319, 0xf45d6a65, 0x62694ee9,
+    0xed4d423c, 0x973d03f7, 0xc60369dc, 0x21758125, 0x545b2106, 0xeea4795b, 0xe72286d3, 0xd23ec623,
+    0x852d38cd, 0x2218c4a7, 0xca217e84, 0x2add7dd1, 0x9f52f5e6, 0xf7f48dac, 0x5f647233, 0x38a92b14,
+    0xd5e3a44e, 0x81fef61f, 0xcdd36210, 0xc2db3a2c, 0x490f16f8, 0x11111413, 0xc471b55f, 0x9eb942fb,
+    0x0baa0ba8, 0x2ddc1555, 0x7e765b53, 0x993e99b7, 0x128373f4, 0xadbbd6bf, 0x823ab548, 0xdc7d0ec0,
+    0xfa639502, 0x27ae57d8, 0x3096f3f9, 0x9d3a53b2, 0x36a2f0bf, 0xf8392933, 0x998aeb0e, 0x9467671d,
+    0xb5278c37, 0x66c68c9f, 0xc2238b51, 0x872de695, 0x02d9f5f4, 0xe6a74785, 0xe80e1e42, 0xb1688572,
+    0x14e667fd, 0x88e4e100, 0xd82dad89, 0xee32be55, 0x4aae490c, 0x87ed724d, 0xe104d0da, 0x4f856a2f,
+    0x325ee115, 0x6720dddc, 0x8277781c, 0xc3504bc9, 0xa4714ba0, 0x46a24d3e, 0xf341ed94, 0xb2cf4e9a,
+    0x54efba16, 0x7143aa37, 0x24aa42a8, 0xbd690b40, 0x85de6a41, 0xcc6e260d, 0x807168c8, 0xa6566a50,
+    0x383c5470, 0x060dc354, 0xd148805b, 0xac97c9e2, 0xd89ddf98, 0x6f3a4554, 0xe5e2cc48, 0x2b3ac5d4,
+    0x306fa06c, 0x88d37956, 0x2e1ef666, 0x4be5d80d, 0xc02b2ab5, 0xbe8b72f0, 0x30f9a43a, 0x8d5c2e1c,
+    0xc1d5d070, 0xa2e08fb7, 0x30d63e2d, 0x7a4b6dd6, 0xc72c9107, 0x9817db36, 0xf00d8491, 0x4cec74ec,
+    0x03e11ff8, 0x332a4632, 0x5dbb7557, 0xab02f2ac, 0xb6a5551d, 0xe80de818, 0xd1c7a1f9, 0x4c2f3c0d,
+    0xfa499158, 0x5ccfa1bc, 0xab68df11, 0x5ac08847, 0x2cfd8203, 0xb71e4571, 0xbb269efd, 0x166e7b51,
+    0x07640f3d, 0x333e0f62, 0xba816b06, 0x0f8a19a5, 0x95d92120, 0x72a7edae, 0x8e872447, 0xa41c2af3,
+    0x51347af5, 0x243ab74c, 0x62bedaf8, 0x1e965ceb, 0x268b5e8e, 0xf11d5b46, 0x07649f29, 0x8a2dd5fc,
+    0xea949172, 0x3deae65f, 0x723a4bc7, 0x3f34115b, 0xa9cdbe68, 0xe937ea48, 0x23c2776f, 0x9586e67a,
+    0x536d6541, 0xef7a387a, 0x1882952c, 0x8e68e6c8, 0xb0ecfd10, 0xe6f37d68, 0xf3d3d4b8, 0x2457ed33,
+    0x561eb184, 0x0ab70731, 0x204c11b3, 0xc827369a, 0x05386587, 0x7e6b1e8f, 0x7b9ff4ba, 0xbb17cb73,
+    0x97587cc4, 0xf7fb5317, 0xed4cd357, 0x0ef0f8b3, 0xc32a3cfa, 0x5be70ea4, 0x9d6c9b97, 0x9f2c7715,
+    0x64e556e3, 0x328d6012, 0x778ebce8, 0xbdee4e2a, 0x69afe7ed, 0xcdc7adda, 0xfdff05e8, 0x78428c9d,
+    0xd29132d9, 0xf17984f6, 0x78f0326f, 0x2e6726b7, 0xe282558a, 0xc1cab038, 0x333e67ce, 0x3dbafd93,
+    0x99b982da, 0xe9bbfefb, 0x6814e5f3, 0xb6ac13f0, 0x5332512a, 0xae7c1ddd, 0x06135d91, 0x100f4e2d,
+    0x49485471, 0x1bee11d6, 0xb85c1476, 0x99bf3e41, 0xe5d87757, 0xd4686314, 0xceaded80, 0x3a701da0,
+    0x1991f035, 0xce6b5a2a, 0x3bb34bf3, 0x5dfbeb0d, 0x7b989eb3, 0x961a6706, 0x6bd6b7cc, 0x033de4fb,
+    0xfd81a008, 0x8b017d65, 0x72a87fd3, 0x20acb2dc, 0x3730852c, 0x47c1a3b0, 0xb47e9d92, 0x7d7544ec,
+    0xec8b153b, 0xf92496ea, 0x59e81c81, 0xc88dce81, 0x0e1f5f50, 0x719fd092, 0x5d9f05d4, 0x7f67fb85,
+    0xcbe362e3, 0xe095529a, 0x271446e6, 0xaae147cf, 0xf49e6145, 0x3a149603, 0x40d12dc6, 0xf00f99ba,
+    0xb6434780, 0x4cee4ed7, 0x5b2f3146, 0x128b9052, 0x5c0bc577, 0x52389bd1, 0x1041d3a6, 0x1b22e70d,
+    0x007d64d1, 0xf448237f, 0x547f41ad, 0x36f1abd9, 0xec68e25e, 0xa892122a, 0x484470ed, 0xd8198220,
+    0xf4089d11, 0x7af7b86e, 0x4bc93f30, 0x866b782e, 0x3a7b21aa, 0x1ebbb71a, 0x51572a54, 0x00cad4a8,
+    0xb1480e40, 0xb014562a, 0xf10713fe, 0x64c6b9c0, 0xe041567c, 0x64593011, 0xe3c9cf7b, 0x2db91117,
+    0x3315ba10, 0xaa56a014, 0xbda79c94, 0xa086fba0, 0x9c0e95ed, 0x45e02f90, 0x9902f8c4, 0x5131b9b9,
+    0x88041904, 0xe391ebea, 0xa90e5941, 0x7a72b73d, 0x9fd0de9f, 0xc94241d1, 0x674b9c35, 0xc2cdf1d8,
+    0x4da541b4, 0xd3d8515d, 0xa49d521f, 0x06493095, 0xe49af76f, 0xfab34df3, 0xbdd4b00b, 0x8c95591c,
+    0x83af11a6, 0x4605a20b, 0x7c1be3c0, 0xf5b600af, 0x1fcb97e0, 0xa1ef2537, 0x938616f0, 0x1452ff56,
+    0xde202335, 0xec3e1ffd, 0x0a22d7fe, 0xbc664594, 0x0548b0b0, 0x93fb46cc, 0xaa541f01, 0x6277d8c1,
+    0x93cd8932, 0x7f0fd087, 0x6aeaed53, 0x79b11152, 0x1b88344c, 0xc4214c59, 0x363329b4, 0x5aca2f93,
+    0x8708db67, 0x43df2a28, 0x6323d050, 0x2843113c, 0xe3827841, 0x85faf787, 0x542964b8, 0x935b84e3,
+    0x1773b3ee, 0xebe77685, 0x9bf69825, 0x97452818, 0xcc973c8f, 0x9d1ad415, 0x9539d757, 0xc7d724ba,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000358359158748448673689190764\
+                          89095108449946327955754392558399825615420669938882575126094039892345713852416 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812,
+    0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f4, 0xc5f335e0, 0x42c455c1, 0x8b83b681,
+    0x00000000,
+    0xca64ca0e, 0x5b91052e, 0x535a395b, 0x5062fd84, 0x98345dfd, 0x55e06f04, 0x9d118f66, 0xea1d5d8d,
+    0xe37c7e62, 0x9ff6fc82, 0xbf7edfef, 0x7886a66c, 0x9ae341bd, 0xde914183, 0x98172cad, 0xb12b8f90,
+    0x43530843, 0xa2ca742b, 0xc4657b3d, 0xe448323e, 0x016a3ae5, 0xf68edb89, 0x29b26264, 0x4d12c3b6,
+    0x982960b1, 0xbfc8127f, 0x3ee35226, 0xf81c4eff, 0x7b8b71d4, 0xbedf6204, 0x76ea3a6d, 0x1fa05574,
+    0x1ef61575, 0xd4209261, 0x645892fb, 0xc0c5a3a4, 0xb179633b, 0x61813b7d, 0xe18d5204, 0x79ec9359,
+    0x315902df, 0xb7228762, 0x7bb901e1, 0x858e848a, 0x4a43c762, 0x8650a5c5, 0x38f188b7, 0x5321ba5d,
+    0xf7384fd1, 0x1ff8ab47, 0x067d102d, 0xe2375f0b, 0x0a0ffce1, 0x539f0e73, 0xeff065fe, 0x06af1698,
+    0x20107c16, 0x2dc08933, 0x243bdf4d, 0x91147ba6, 0xe4e7b0b9, 0x9bde966e, 0xf13c98d4, 0x0dbc25bb,
+    0x2a1272b2, 0xebd92a45, 0x561a2a90, 0xd8e2aeb5, 0xe1c5d453, 0x1f021ee3, 0x3def9f4c, 0x20fea64c,
+    0xe558738c, 0x9550b91f, 0xacf4519e, 0x202edfa9, 0x4f99e31b, 0xc3c34387, 0xdcfdc298, 0x585db140,
+    0x1dc3c37d, 0x630dd75b, 0x20c08b86, 0x168a5e3b, 0x2bdf508c, 0x241e4d45, 0xd9ad5a67, 0xce6614c8,
+    0x08c0c7d2, 0xffb44e87, 0x0282937c, 0x968539df, 0x58ca4aa5, 0xb34476f2, 0x8be8b770, 0xe476caf3,
+    0x9190bfdc, 0xdc76c78b, 0x5257c1c0, 0x5e7fbec0, 0xd399b2f5, 0x164cc407, 0x1685e91c, 0x0d9a5bf7,
+    0xdc467251, 0x1d3d4377, 0x545b7288, 0x2accc577, 0x5f1e86d8, 0x7e418e09, 0x6da52526, 0x8b7e4dfe,
+    0x310bf6a5, 0xe38d6da5, 0x136b3eed, 0x3d6bd687, 0xe5668e66, 0xaf1a63ed, 0x74b7f60f, 0x62d491b1,
+    0x8567279d, 0x53b67fec, 0x92de05e2, 0x17b0de33, 0x259abbb8, 0xed51f957, 0x8933fa50, 0x7191b994,
+    0xb9a17292, 0x90daba69, 0xacbfc508, 0xa735abbf, 0x017339fd, 0x4eaa599c, 0x217a40cc, 0x43eddf2c,
+    0xd2c918ac, 0x491ff6d7, 0xbdd02807, 0xc5e3c903, 0x76c4bb1f, 0x90754e6c, 0xf4f7f7aa, 0xb290c4d8,
+    0xe786f9d2, 0xc94907b4, 0xda5e38b6, 0x6015e8aa, 0x41a81b85, 0x33edc6c4, 0xa5663834, 0x590b37ef,
+    0x0e493cbc, 0x3381d8fa, 0x9d86ae45, 0x91ca2235, 0xd326f669, 0x5cccfad8, 0x5cfc91f3, 0x0e2a0935,
+    0x9f2a1a1c, 0x68b2ed7b, 0x765e309b, 0x1c01f31e, 0xf74932f7, 0x46f4a4ec, 0xf4879e46, 0xf8c3956b,
+    0xe0fd5658, 0xbd52dabf, 0x3a208932, 0x7aa83984, 0xa120b605, 0x104e5ffa, 0x9bb443c1, 0xbb29760d,
+    0x812c8260, 0x53704b1b, 0xd419be2b, 0x8f80c9d0, 0xb2623bd3, 0x40cb28c7, 0x44816801, 0x4de844b6,
+    0x0152cdb1, 0x68b85b38, 0x6ff2a273, 0xd39874e8, 0x54875df4, 0x817768d8, 0x9307c7cd, 0x393053d1,
+    0x6246dd79, 0x35a6d9b0, 0x0bdab3f5, 0x460244bd, 0x0a0d6073, 0x617a9b61, 0xbe33382a, 0xe1011e71,
+    0x1fc8c5f5, 0x6a9efa1f, 0x8b89f920, 0x90cdd4c7, 0x2aea91e7, 0xd45d1e8e, 0x9685ab39, 0x64cfc8d9,
+    0x27a54d55, 0x6fddd974, 0x39ebc33a, 0xb3b7301a, 0xdb4181b8, 0xf618a16f, 0xc32f2088, 0xe4a550ab,
+    0xacd2b2d2, 0xdb827065, 0x4f096e3f, 0x32b52d02, 0x4b243797, 0x287c6d06, 0x186d26ed, 0xe33df56a,
+    0xa08baddf, 0x09c2a096, 0x7170ec6c, 0xa6e47611, 0xdf2adbe3, 0xfa63063f, 0xb0c0f7b5, 0xc724378b,
+    0x32e04fb7, 0x0b6c59b9, 0xc2238965, 0x2be4653d, 0xa6ccac3c, 0xb71afa35, 0x1789b8da, 0xf3a4433f,
+    0x468bc5ca, 0x4a5ff940, 0xcd625df2, 0x1f148b35, 0x8b56ad7a, 0x2142cda4, 0x99eaecad, 0x904af8aa,
+    0x99ac8951, 0xaf1b67ac, 0x30bb8bee, 0x0311be76, 0x6b2c8a5d, 0x1c7a9d33, 0x7ce90e7f, 0xec39cf13,
+    0xe874e6b0, 0xe3e961fa, 0x14b0aa20, 0x9f95e73c, 0x3858ccc4, 0xae3db9e6, 0x8ff40708, 0x872365dd,
+    0xcaf742ec, 0x17374bbb, 0x8e7e1173, 0xf1226db6, 0xcb516eb2, 0xff714309, 0x4ef2d555, 0xb9733f4c,
+    0x71c72fa4, 0x26d5672e, 0x25d41160, 0x37ce41ca, 0xa5f75833, 0x8a8b2ea4, 0xa74fd157, 0xf2bf75a7,
+    0x86a4c137, 0x9528500b, 0x1387652f, 0xc536b14c, 0x8c7d3672, 0x97f99451, 0x625894d3, 0x192aa333,
+    0x5b946317, 0x3647362c, 0x6484420e, 0xbe80c9ff, 0xd7d0e6fa, 0xf7a568b3, 0x7879d4a1, 0x813e9eda,
+    0x6216f4e3, 0x18a5b24f, 0x554bb3d8, 0x93384563, 0x6b8f5f1d, 0x4f688dc9, 0x397dac67, 0x0f32b9e9,
+    0x16c100f9, 0x8eea1e0a, 0xac24297c, 0x82849cef, 0x0103a722, 0xcc49f47a, 0xcd7ea34a, 0xb9b0206e,
+    0xa5d394ae, 0xe4007882, 0x1e96f462, 0x914b6afe, 0x1397675e, 0x8fccad4d, 0xe69e421d, 0x93ebd4ca,
+    0xd72df5cb, 0xc2ca6491, 0xe8d58d7a, 0x2158c234, 0xf674b89a, 0x24d199cd, 0x28ec48c7, 0x1f16c9d3,
+    0xe8bc0a61, 0x0a4acbec, 0xf0b1b8be, 0x4305f943, 0x7a5334a4, 0x0a26561e, 0xa5de2b08, 0x58055991,
+    0xa837163c, 0x4d4f9da4, 0x21ba1409, 0xfcd5c98e, 0x8a10ae73, 0xaf7e945a, 0xb092e2ac, 0x1a7bfc92,
+    0xe3b12376, 0xf8763b80, 0x1cd0e987, 0xd0e10743, 0xeba6f74b, 0xfbe8f88b, 0x917d9495, 0xf1b1bd56,
+    0xa556306b, 0x18c329a6, 0xc47199fb, 0x84781069, 0x3973de8c, 0x289355fc, 0x0d2b4008, 0x5e197f86,
+    0x98ea2844, 0x9f7e7a70, 0x612b994d, 0x9d91e678, 0x67aa7875, 0x59c2292f, 0x490350ba, 0x274e5c05,
+    0x0484e95b, 0xe26869e5, 0x6530b0a8, 0xbcc0cacd, 0x04d8a50f, 0xca0c77d2, 0xbd4c8944, 0x85ef8eda,
+    0x00dd493e, 0x442bab6c, 0xe93b08f5, 0x01a245a2, 0x495b10e2, 0xbacd49ab, 0xc63872ec, 0x9f4824b3,
+    0x6ce77caa, 0xa1d72ddc, 0xf5698f3b, 0x04e2e41a, 0x9b6e3c0d, 0x91a96236, 0xfcf45013, 0xa9165cce,
+    0x609d9d23, 0x57224ada, 0x67d7417c, 0xc4e5c108, 0x7415f62d, 0xdc05a562, 0x5a34d970, 0x07bf76c1,
+    0x4a8aa066, 0x1257c13a, 0x17eec7f0, 0xdc1420eb, 0xd2e242c6, 0xe5a09fda, 0x7c9b3cba, 0xc17a3717,
+    0x94f52399, 0xd8bcaec1, 0x64b61258, 0x07521000, 0x6e03e5a1, 0x2f1c2c24, 0x01c20824, 0xd9f7bcb9,
+    0xbc0b8e8e, 0xcacffc43, 0x33e62a4f, 0xeb0094c1, 0x1c949315, 0x020af423, 0xb37e7ad3, 0x7e07b9a3,
+    0x2a0b353d, 0xd65851f9, 0x88848d96, 0x80903fe0, 0xa831e37e, 0x83230ece, 0xb483f046, 0x795cfb7f,
+    0xb886d38d, 0xf45e555c, 0xe02e1f76, 0xf1e8632d, 0x624c737c, 0xae1d256b, 0x82091874, 0x85d3c4ac,
+    0xb5178a0c, 0xc6ce6797, 0xb81a99f6, 0x54551960, 0x4705623b, 0x76a511a9, 0x1c4a31df, 0xa5a2778f,
+    0x7878c86c, 0x112a360a, 0xd39e4f87, 0x33532f81, 0xbc31ed91, 0x755255cf, 0x3d6c3d7e, 0xf553e444,
+    0xd4037c15, 0xd7ab41e7, 0xb1a0acc4, 0x3fd34c8e, 0xb669b50a, 0xdffd3bdb, 0x41b3fc61, 0xbb8595b6,
+    0x6adf9847, 0x8ddaf7b2, 0x127a1fb7, 0x217aa3ac, 0x9d49170e, 0x3006bab1, 0x60f139d3, 0x43c27508,
+    0x954f3ac2, 0x6b3511da, 0x0ee21ed0, 0x965e9e88, 0x16cabc37, 0x07711fc3, 0xf59b69ac, 0x5a8ace00,
+    0x43c7f841, 0xd3904c9a, 0x92e87aef, 0x6a37c40d, 0x4db07441, 0x441559ee, 0x35ad746f, 0x3d3dfb41,
+    0x2d956be0, 0x89d05f3d, 0x6f6cbb20, 0x2873d81f, 0xbb9cb5ab, 0xab9e0ef7, 0xbf166426, 0x0ffa211e,
+    0x2e01e2c1, 0xec70f8b3, 0x7b88915c, 0x4cfb0a4d, 0x9aac08a8, 0x4a012bef, 0x3110ac53, 0x17c6e2b0,
+    0xa557de68, 0x7a229483, 0xd79e9390, 0xb97c851e, 0x5f89cae4, 0x64d690c4, 0x49b94af1, 0x46c87941,
+    0x011cf0e4, 0x559dd460, 0xd996e281, 0xedb41a96, 0x567bbbbb, 0xf46119d4, 0x3411e705, 0x5012db5c,
+    0xdcabef62, 0xe376aea6, 0x4f8eea55, 0x5bb3467b, 0xfe2844f1, 0x1eadc4db, 0xe70d9238, 0x271ddd3f,
+    0x228c82c7, 0x51feff5e, 0x6288382c, 0x69f92e72, 0x3918fe26, 0x33fb2be0, 0x54dd3d85, 0xd5f8d6d2,
+    0xca51660c, 0xe629852f, 0x47f75243, 0x51eb011b, 0x5a82126c, 0x2f81862c, 0x778f1b59, 0xa2171e09,
+    0x3030dcd5, 0x99b23bc0, 0x86693beb, 0xa5af45e2, 0xb99fb9a4, 0x75498ce0, 0x5ecf2a63, 0xc5265687,
+    0x623aa98e, 0xaf0eb733, 0x43864255, 0x38ad6aca, 0xb91c1e20, 0xdfdde391, 0x2c130501, 0x2e121d37,
+    0x3841500f, 0xed04118d, 0x04b22a2d, 0x8431d2ce, 0xe0f20d98, 0xf122dc6f, 0x3cbd6755, 0xff4a122e,
+    0xb105d728, 0x69d2eb93, 0x966d91ad, 0xdcc7c133, 0xaddc7a05, 0x723909e6, 0xa4810904, 0xcb52481a,
+    0x34e090c5, 0x0e1116ed, 0xb25ba10d, 0xf86576e3, 0x12721455, 0x7c159fd4, 0xc5ce9183, 0x89437c0c,
+    0xba2a6c0a, 0x5614dab7, 0xd2944105, 0xcc257d57, 0xda68c1c7, 0x785c90ae, 0xf072d778, 0xc2390679,
+    0xf59c95d3, 0x55795303, 0x2d02daef, 0xcaed60f8, 0x6272e4e9, 0x9133dd75, 0x115fd90f, 0xe08961e6,
+    0xee7ccf10, 0x9a6ff609, 0x3a57c98a, 0xdab7a5df, 0x64546e23, 0xc0d07555, 0x14be2b98, 0x2a90b343,
+    0x2bb97249, 0xeefe025a, 0x2005c5fc, 0xd73ecaca, 0xff2f5efd, 0xf4fb34da, 0x79c16081, 0xb7f9ae7a,
+    0x819d1ce4, 0x1c202c60, 0xc87a5320, 0x3954630b, 0x2d48f69d, 0x1fc56ad5, 0x543a01e4, 0x8185d3d7,
+    0x38545c2d, 0xebe707c1, 0x1b6a8136, 0x356547b8, 0x2a699baf, 0x58ae3c9d, 0xd33f7021, 0xe444b566,
+    0x4d094c4f, 0xdfd90f5d, 0xd463aa21, 0x702ea062, 0xd2dd7453, 0xcc04ad0d, 0x9e8d3465, 0x479a3432,
+    0xa11b1d8a, 0x372ca341, 0xa1cc62e4, 0x6d7471bd, 0xc0b0d891, 0x3de2f4ea, 0x022ddc6c, 0x8be2de21,
+    0xc66b78c4, 0xb48d4c12, 0xdf7ca415, 0x076d781b, 0x78f72d6a, 0xdbbc545c, 0xcadb00fc, 0x584a2b10,
+    0x1f50f730, 0x86d45bf8, 0x9b549e65, 0xab979138, 0x6e79145d, 0x57abc234, 0xeaaf2076, 0xba1abd49,
+    0x9a08a2fc, 0x452c1cc4, 0x62accc1b, 0x8061d147, 0xe726751c, 0x2d876122, 0xb9dae3c9, 0x9475f6a7,
+    0x8441c707, 0x5ad23e7f, 0xf7d4b5e8, 0xa6ecd087, 0xeb607040, 0x11cde543, 0xaec98585, 0xe413cd68,
+    0xb700c6b1, 0xd518f3dc, 0xebc62190, 0x891863bd, 0x059d4f2b, 0x801708be, 0x17fa0db4, 0x304a2c73,
+    0x8a918cc5, 0x98314288, 0xb607f525, 0xbe951de2, 0xc964417f, 0xed539951, 0xb7172bbc, 0xa20599d6,
+    0x08644caa, 0x92d91130, 0x76ed41c0, 0xd4aad564, 0x8c834961, 0xff71d0ba, 0xd9a6b745, 0xc84552ca,
+    0xf615a579, 0x2c67d458, 0x784e2c64, 0xb58a539f, 0x56e1c504, 0x7d34b7bd, 0xf7493277, 0x25fd4384,
+    0x54d5d61d, 0x5254c44d, 0xa77f9b9a, 0x385609c9, 0x1a3e7546, 0x7068d820, 0xa7165e6a, 0xe7981857,
+    0xb698aed0, 0xe4c32d8b, 0xf0c306d0, 0x2674e2fa, 0xc778a99a, 0xd8e58922, 0x0b4b9324, 0xa8b60487,
+    0x749dfd12, 0x87a3d9d6, 0x84b9b613, 0xd8ca4f0e, 0x19771ed0, 0xeee1d928, 0x8b599fcf, 0x79f5e1b0,
+    0x6275c1ba, 0xf69dfe5e, 0x8283d6fc, 0x6112da2a, 0xb03b9411, 0xba2d6edb, 0x15010f9c, 0xf75d4288,
+    0x83d47bf1, 0xb667e2fb, 0xa36d8ccf, 0xbf81c51b, 0x6ef0770d, 0xea52fb5a, 0xe2718789, 0xf06f8aea,
+    0xeeface3c, 0xc0b809eb, 0x1e223b10, 0x4b299546, 0xcfeaf18f, 0x0b514353, 0x1524d41b, 0xf916064c,
+    0xa32ee676, 0x461fe404, 0xc134f300, 0x6ea5439d, 0x6260a0f6, 0xb206c3dc, 0x0c9fd3be, 0x2f563827,
+    0x4c6bd62e, 0xa97df47b, 0xf7741868, 0xbbab0b0d, 0x1f1df78e, 0xad91f001, 0x9d0ce11b, 0x6dbcf402,
+    0x2b591fc4, 0x45344bba, 0x3c57bfe3, 0x3b20800e, 0x56c53b4e, 0x35cd0e3f, 0xda4e652f, 0x5281aec1,
+    0xccb9aad4, 0x574f10cd, 0xd9134567, 0xd083d0a7, 0xe266bb4f, 0xd96f5785, 0x79ac81b7, 0x9b403611,
+    0x3e5721cb, 0xda8397f1, 0x93ee415f, 0xd3d1c77f, 0xd28c2122, 0xeb2c7b24, 0x9f0a086b, 0xcb5c29f5,
+    0x9ed4fc1f, 0x04614abb, 0x8aa77658, 0xd17d3e69, 0xe22305e1, 0x83bb5575, 0x31ee6660, 0x69176361,
+    0x97e9ffe4, 0xa16e24c7, 0xce573f60, 0x27e09488, 0x02c2d6ed, 0x0c759b7d, 0x0776e8ed, 0xb8fdae8a,
+    0x4856227d, 0x1e80106b, 0x6136fc93, 0xadb0cba9, 0xf93f1c61, 0x08cd86fe, 0xaa32625f, 0x8b816a71,
+    0xefb520ef, 0x31375c1f, 0x9bf3174d, 0x723eb232, 0xa4a26c6a, 0xba1a8954, 0x332ba21e, 0xfa55e22a,
+    0xac7177da, 0xeaa28657, 0xf80fb388, 0x3e66ff54, 0x883a4f28, 0x75eacfc7, 0x3584af98, 0xaa8c2624,
+    0x59fdb89e, 0x084cf8d8, 0x9fd242cd, 0x3e237fe9, 0xad1289cb, 0xe8887465, 0x20fe3d5f, 0x62aa766d,
+    0xb99256fa, 0xe88d5a3f, 0xe00a3bc4, 0xf42134a2, 0x2664c688, 0x2f762527, 0x66bf58a8, 0x6841a50f,
+    0x15501a21, 0x6c39ddf2, 0x00149a7f, 0x018da8cd, 0xe2bf8ab7, 0xdce3a274, 0x22652d71, 0xd3eadde3,
+    0x5b2d721d, 0x8f90c0fc, 0x70ddfa1c, 0xdc02ee67, 0x66f79dc0, 0x4c613922, 0xa0c97905, 0x8cc8f733,
+    0xceb98a55, 0xaa79947a, 0x56dbfbf4, 0x6ce1cc82, 0x0c5f799d, 0x60c9c5df, 0xfd9afff7, 0xe47df7e1,
+    0x917e69ea, 0x40d890d3, 0xbbe5b41e, 0xf49196f3, 0xf0cd1a72, 0xd196191a, 0xcd7e4d4b, 0x98a2d407,
+    0x5c6701d2, 0xcf72424e, 0x1d47911f, 0x25f935a7, 0x0bf30908, 0x7bac523f, 0xf8eb4e73, 0xa6ce9c8a,
+    0xcd75e453, 0xdeece624, 0x9b9b13b8, 0x37dbc612, 0x81bfb807, 0xb10591c5, 0x6c097132, 0x6c6b1ef8,
+    0x66e4159b, 0x24d80115, 0x3f363b05, 0x943390ba, 0xf760b2f1, 0x2654262c, 0x4c1e7bf1, 0x73553ca5,
+    0x6d959b69, 0xc54efa02, 0x7d032f85, 0x3f43d898, 0x33a7844f, 0x86c70a14, 0xc3b142b6, 0x15d12f7b,
+    0x5cfcad74, 0xad23ac3c, 0xbee40cc1, 0xcc70867b, 0x0f467c60, 0xa9441ff5, 0xc0a03069, 0xc0e09610,
+    0xe40b2b8b, 0x6c73a213, 0x61f4d92f, 0x86618315, 0x1d4c1e30, 0x7012b5f7, 0xb7153e69, 0x9b19e253,
+    0x1f5e5bd5, 0x363248f8, 0xaaafe0da, 0x738eda1e, 0xb671e419, 0xf4a89862, 0x0839a642, 0x72acc773,
+    0xc9ce56c6, 0xbac21f81, 0x33930978, 0xc4050cc2, 0xac97afbf, 0x9b90ba05, 0x89bf1cac, 0xd27e9fdb,
+    0xe0b841ed, 0x7c131a9d, 0x1d602865, 0x155fe3cd, 0xd6640546, 0x98f6484c, 0x546f7bd8, 0x8896eee6,
+    0x57563cec, 0xd62c4937, 0xf80e3005, 0xd3c58f21, 0xbda2fc28, 0x395dd388, 0xe11065c0, 0x0c72af5a,
+    0x655b1fda, 0xb51bbf7f, 0xe63d13e8, 0xac4618ae, 0x308fb259, 0x20c8da06, 0x2d63f4a4, 0x7925294b,
+    0x793b9ff3, 0xa08a9de9, 0xbeb334d6, 0xd60ef113, 0x6ec4e08e, 0x8c79c95f, 0x9411c11b, 0xf0a293e6,
+    0x8047c3ad, 0xf58f5cdc, 0x0c15595c, 0x89fb8359, 0x637e5d67, 0x4bc52263, 0x0e4f7782, 0x72d2a3bd,
+    0xbf9c8a6d, 0x7871a612, 0xa3548fc1, 0x742f6627, 0xe812c426, 0x6e0f0ea4, 0x0570ee5a, 0xe138e2cc,
+    0x98462c2d, 0xd3f402be, 0xf7945e87, 0xd674affe, 0xb53e5c64, 0x60cb00b0, 0x9e31b398, 0xa609fe57,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000179179579374224336844595382\
+                          44547554224973163977877196279199912807710334969441287563047019946172856926208 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409,
+    0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d187a, 0x62f99af0, 0x21622ae0, 0xc5c1db40,
+    0x00000000,
+    0xa0f462fb, 0x79b599c2, 0x80f7bb4a, 0xba9a24fa, 0x0b988d63, 0x5cc00d31, 0x29f7a307, 0xea96f626,
+    0x1b0218ed, 0xe2232c89, 0x5af4b55f, 0x5b02f4ea, 0xcec1c3d3, 0x7f087fbe, 0x4e454830, 0x4e9fef0a,
+    0x0898fef6, 0x71ce928e, 0x93e3b112, 0xff7b640a, 0x2a377501, 0x89faff33, 0xd9a1b7aa, 0xa0746999,
+    0x09d9e1f7, 0x551e5bb7, 0xcbfcb48d, 0x7dea4135, 0x00274099, 0x2fa0df46, 0x9cadf519, 0xcf11638a,
+    0x3671222d, 0x5f330eb1, 0xb738623f, 0x527763ff, 0xe5f2c309, 0xebdc16b4, 0x45cac7b6, 0xe0345d5a,
+    0xe6ee73e7, 0x635daec2, 0x1b01ca81, 0x6c8ce870, 0x99f66707, 0x1fd6b6fc, 0xf2be15ed, 0x0760a482,
+    0x16138b0d, 0x0ec585c1, 0xfb99430c, 0x86b20233, 0x1985966f, 0x41eaa521, 0x1eb2d33c, 0x8dd5d85a,
+    0xde778c15, 0x20b5b3e9, 0xa5befbe3, 0x8b38324a, 0x7a571dd6, 0xc33a6e1b, 0x6ac9fed2, 0xdf8140b8,
+    0x099e459b, 0xd0c6ea15, 0x2761d8ca, 0x93ce8411, 0x4ede2a01, 0x837b3fd8, 0x16bd3860, 0x71d753da,
+    0xa9b10ca6, 0x0775f63b, 0x4c4040c3, 0xd096668e, 0x2f645262, 0x07433153, 0xc35f9af7, 0x809c5960,
+    0xf6e5c0d5, 0x12072cb2, 0x249e8e51, 0x1c0ab4d4, 0x9f7b1771, 0xd3cd6c04, 0x6a94f21f, 0xfd140e65,
+    0x3b2ce082, 0xf9184f19, 0xeafadeb4, 0xe6a2a2b6, 0x5e0b063d, 0x0844d016, 0x497db439, 0xe7da0640,
+    0x807b0bbd, 0xabf5581e, 0xc81c8a3a, 0x3492b4b4, 0xed6a4d22, 0x9036e878, 0xfac9f718, 0xb71aa1e8,
+    0xacd21f2c, 0xe5a85719, 0x75bebf22, 0xfc2109be, 0x25555115, 0xee8bba33, 0x4542433b, 0xc276eaf3,
+    0x88db6382, 0xec7425af, 0xb8b79fcc, 0x1b38d103, 0xd9958033, 0x6ee384bf, 0x21d5fdb4, 0xba6a961a,
+    0x46b3c82c, 0x2463b257, 0xf059431e, 0x1c0c8a19, 0xf32e77ae, 0x22484d12, 0x8052e1ef, 0x7f9c0d05,
+    0xa7c555bb, 0xb081bc61, 0xd9ebc21e, 0x6798a5c8, 0xf1641c73, 0x0da1b5eb, 0xf54fe8a9, 0x80a3baf8,
+    0x17dd6864, 0x3d9811bc, 0x00e322c6, 0xd6664257, 0x2f283417, 0x9e328c12, 0xb2be3a1d, 0x14a72caf,
+    0x03db30f8, 0xd0cecc35, 0xf024e2d7, 0xfb80ca2a, 0xb260c45d, 0xe9269b38, 0x3642c852, 0x36b9cd30,
+    0xef580aff, 0xb4ba632a, 0xf24280d5, 0x9d34137f, 0x03e40f2c, 0xfbb2cbe8, 0x6511bc2d, 0x7a864507,
+    0xa69080be, 0x70d74cd3, 0x0755d1bf, 0xa4f6b326, 0xe717d823, 0xba08b8f8, 0xb95c9617, 0xd7b9e247,
+    0x01d3e7ce, 0x9135d9a7, 0xc63b53c4, 0xa664a94f, 0x3ea319cc, 0xe73ba5fc, 0x865a3af7, 0xb4993cef,
+    0xe8000bed, 0x66c61ea3, 0xb1a0543b, 0xeafe8534, 0xa6bb3c52, 0x98d1d0fa, 0x86feb628, 0x24c7b057,
+    0x5f70967e, 0x3dacc138, 0x3908c73e, 0xb1c4e5b6, 0xa8b007f6, 0x63c74bde, 0x76264ac0, 0x7a4e129b,
+    0xca52f4cd, 0x6a45bfd9, 0xb98df2b3, 0xe20c5479, 0x3ed659bd, 0x2c8257b6, 0xba169fba, 0xe6ef9162,
+    0xe2b3ce33, 0xc587cdd2, 0xba4a7499, 0x4b577a14, 0xf343a94d, 0xb61fb958, 0x17a0d578, 0xee32c11f,
+    0x5419c42a, 0xabee0272, 0x88373cba, 0xafe82e58, 0xad7f8a85, 0x5049838c, 0xc4b22349, 0xbb630560,
+    0x51494dbf, 0x84f7596d, 0x3692aab4, 0xe1106058, 0x96fb2976, 0x0bc7a401, 0x7e4dc7ce, 0xba117968,
+    0x7868b736, 0x249747c0, 0xa7a1b638, 0x0033a3f2, 0x38610360, 0x00a787e2, 0xe42e513b, 0xb050e1ff,
+    0x69ae3000, 0xb436fc37, 0x28275057, 0x4cd81ca8, 0x363baddc, 0x64ba34e7, 0x6b41bc25, 0xdf9af133,
+    0x12bd0335, 0x5b71a326, 0x56cd10a3, 0x39befb16, 0xb6967a10, 0xe3773772, 0x5bc727d3, 0x27784527,
+    0x07d418d2, 0x57a8151d, 0x434b6ee9, 0x9b670ba1, 0xc27c5317, 0xccaa5d40, 0x4ff36751, 0xd8b5b835,
+    0x09ea2c84, 0xfeca8e0e, 0x694baed8, 0x6d0d7ab6, 0xbdb1f188, 0x2ae52594, 0x7935b414, 0xf7cd3b5a,
+    0x51268296, 0xef7ae373, 0x1509b53b, 0x2c46bb10, 0xc347b88f, 0x7b20be8d, 0x16aef5b0, 0xd6179916,
+    0xc01e6e59, 0x8148a785, 0x1a153fc6, 0x33243ad3, 0x9fcdbba9, 0xd9839798, 0x6aabad74, 0xb1340b14,
+    0x128a83b1, 0x6b849027, 0x5a4d9bf6, 0x9300f93c, 0x762960e1, 0x432dc8de, 0x3b6a0d41, 0xfe2b6e72,
+    0xf637a455, 0x41229419, 0x033ab601, 0x0ee2576e, 0x98a99250, 0xe1d67f81, 0xe1745a3c, 0x0fba044e,
+    0x54684f31, 0x1c4b2fc9, 0xf2a084c4, 0xc094c94f, 0x1ff8851a, 0xa8803073, 0x7c44b5d4, 0x91a8d0ff,
+    0x2a76e4a2, 0x1137cd94, 0x6e7c69d6, 0xcb0cd994, 0x40c961c8, 0x23a47804, 0xf0fc6236, 0x646f751d,
+    0x3515fae3, 0x7fa33caa, 0xca5fbcc3, 0x8e89df18, 0x088795dd, 0x3fdc0c0d, 0x27e0e6ad, 0x9b2be442,
+    0xe4980bd2, 0x69ab4b9e, 0x8abb4388, 0xb3db382c, 0x562c3597, 0x4841a839, 0x23a044fd, 0x661311ac,
+    0x93bc8d13, 0x92589e0d, 0xb6e8b3bc, 0x6928320c, 0x584e3041, 0xc56e8f9f, 0x994b305d, 0xc4bd21f0,
+    0x0601e45a, 0xf9bf8b1a, 0xb02edc73, 0x64e65bb9, 0x5db2804a, 0x8dec5971, 0x838d0513, 0x56f3be5d,
+    0xcbbcac58, 0x2601807f, 0xdb9aa21e, 0x726dafca, 0xc1c3446d, 0x5cca41e9, 0xd999ea4a, 0x0ce370ef,
+    0x2a817d2c, 0xc219c39b, 0x3c8c4390, 0x3186952a, 0x3f58d0b8, 0x87580f6e, 0x0d403068, 0x16a32cb2,
+    0x5e93cb00, 0x08cc8b75, 0xc783bd12, 0x7ce026b4, 0x00351e79, 0x9455e8ba, 0x64d96ce2, 0x83e81067,
+    0x024814e4, 0x8540c072, 0x5bcfbde6, 0xdc19313a, 0x03a960fa, 0xfc42ef98, 0xfbd84bf7, 0x0b0a618e,
+    0x9b201748, 0x60e17a48, 0x630e4bf2, 0x7ba17975, 0xad8b77e9, 0x3ff815b0, 0x00c716f3, 0x84eafca3,
+    0xa4531e24, 0x084f88ca, 0x967d4001, 0x9183d72c, 0xed808504, 0x9ff582e5, 0x19677a37, 0x1a51191c,
+    0x6aa3fd10, 0x25550dc2, 0x0fe0dd2d, 0x3ce8abc4, 0xbe28ecba, 0xa0ab50e9, 0xf09e6815, 0xbc96fbf6,
+    0xe090bba5, 0x49b87467, 0x3b8e42ae, 0x125d6947, 0x598a9285, 0xbb72a76d, 0xa37051b6, 0x1ea1c3a8,
+    0x0be07ee3, 0x85a97469, 0xa0d94552, 0xb82fa605, 0xb5bb7669, 0xc4aa68d8, 0x5c86c132, 0xd0ec4584,
+    0xb39eaa82, 0x7873eefa, 0x007d88dd, 0xbbf93fc6, 0x134d4889, 0xb923803b, 0xa7f08d55, 0x979f1f14,
+    0x7f72cbd0, 0xce2bfbaa, 0x2c3c6e63, 0x17e0fd34, 0x6e6b403c, 0xae87f6a5, 0x52339533, 0x4b4aa34f,
+    0x0f07e1bb, 0xb86dd44c, 0x474a8b29, 0xb6c617e2, 0xf20103a5, 0xfe614552, 0x53cef16b, 0xdaf78863,
+    0x45c95416, 0x8b8f2735, 0xcb9a7837, 0x37874fde, 0x201b678c, 0x0044b41b, 0x701055e7, 0x94714b1f,
+    0xd52c894e, 0x6dea6e4f, 0x36d71a96, 0xeed44f01, 0x18563f67, 0xf796e5cf, 0x866aa62b, 0x7257ed7f,
+    0x52408c7b, 0xa7685bb6, 0x09cd9f48, 0x34066efd, 0x7f6c14ba, 0x4f35ddd4, 0xdc4263c1, 0x35c53023,
+    0x0dc331b0, 0x5f881d29, 0xa2e48be9, 0xdbe8d8e7, 0xd0c52eb6, 0x93409f6c, 0x02427946, 0x62b037a9,
+    0x8c9044d7, 0x49210a33, 0x28954173, 0x09ada50f, 0xad5e35dd, 0xcdcecbf0, 0xcbb7e6f7, 0x500dcb05,
+    0xfdda1837, 0xaebc7db7, 0xc2e37e5b, 0xe6f308dc, 0x2e915bfc, 0x243e5335, 0x948d7549, 0xf2708a05,
+    0x4265cc6d, 0xed471e18, 0x0832bc12, 0x10935bd0, 0x98078140, 0xaa5cd390, 0x2fcb68e2, 0xcd334e49,
+    0x0a820764, 0x2b71f9d4, 0x90d5a26c, 0xa9aa5612, 0x7bd61712, 0xfa89aab0, 0x7d10a8b7, 0x9680313e,
+    0xddb5715b, 0x66b31526, 0x1e22977f, 0xa88c0970, 0x2ab989ec, 0x660463f2, 0x167857e0, 0x4887d2dc,
+    0x983cdf33, 0xe5dd766e, 0x97d1b8b4, 0x1a58dbb5, 0xcbf04b52, 0xd5647d74, 0x458dd38a, 0xd11301ad,
+    0x0ab9806e, 0x0d7e5a3e, 0x7633f819, 0x76759c07, 0xde59d9e0, 0x4e4e63ab, 0xef72c02a, 0xe19bc771,
+    0x5693c7de, 0x5bbefb9c, 0xd5624e1f, 0x3efa2d1a, 0x86eae258, 0x99fb2f76, 0x936d7ae4, 0xe29d4d9e,
+    0xeb31d229, 0x3748370d, 0xa19a6b55, 0xc17efbdd, 0x3269917f, 0x502faa41, 0x474b454d, 0x38248bf8,
+    0xfd8710a2, 0xc4aea23d, 0xf36a62c3, 0xeaa858c9, 0x0d9a27f6, 0x113d761a, 0xc630a016, 0x15afd8cb,
+    0xc186ad63, 0xcb2de316, 0xd43c5a22, 0x6ebcc2e0, 0x9c43d5ad, 0xf7dd9a15, 0xf2b7a836, 0xde925fd7,
+    0x2eb45984, 0xf4b43b9d, 0x2f822d55, 0x6461ad6a, 0xbcf65813, 0xd3276bce, 0xcec26113, 0x617c068c,
+    0x39b577bd, 0x2e72e367, 0xcc8b754c, 0x67b37b7f, 0x069a51c1, 0x1649816e, 0x398d8eda, 0x02f03fb0,
+    0x41609684, 0x8eacf4b6, 0xac6f326f, 0xe4cc45e5, 0xb8008eaf, 0x44574c39, 0x565c1a5d, 0xbd26e1dd,
+    0x025fe7ea, 0xf041ba0a, 0x36b526d1, 0xd4afce36, 0x052e408c, 0xa6719681, 0x41526e5b, 0xd2f7677c,
+    0x3ad685e8, 0x24ec60fa, 0xbb5edc0e, 0xe5c15624, 0x80592ed1, 0x196c6abe, 0xadd37da4, 0xc598a9cd,
+    0xc23f9c15, 0x2cd16c48, 0xbbff252b, 0x104bdc3a, 0xe4a3b945, 0x42f49ab9, 0x74cca14d, 0xabca155e,
+    0x29125be3, 0xcab95769, 0xaf62fdb2, 0xe4ecda19, 0x0f1354c5, 0x3d69fcdd, 0x4d24ef10, 0x02ae23a4,
+    0x6297a959, 0x2f7e0dca, 0x054d66e2, 0x681d188d, 0x18e656c2, 0x7ea90637, 0x566eeb90, 0x55f15a3c,
+    0x58235bb1, 0x89de57e8, 0x443fa673, 0xf2a9cdc7, 0x5d86617c, 0x002d0058, 0x77e2c5d5, 0x5683444c,
+    0xb03b56da, 0x27818ee4, 0xb376777b, 0x41ab8bdc, 0x93d95b5b, 0x2429c092, 0xc98eec3a, 0x21694249,
+    0x4a84970c, 0x9c9c87cb, 0x3e81e6b9, 0xf98376ab, 0x28b3b2d8, 0x721d11aa, 0x8de379d1, 0x2da6d18f,
+    0x484591bc, 0x50198d8d, 0xc5b4619d, 0x8a654983, 0x3e72dba8, 0xd12065fd, 0x8396311c, 0xbc9a082b,
+    0x2ae6c5f2, 0x86cb18c0, 0xebf02541, 0x0a368e80, 0xc3453e3e, 0xb5ce977b, 0x5e25de89, 0x103f0d33,
+    0x034a5c73, 0xfc75b0c2, 0x8ffe075b, 0xf1ee8561, 0x37cf8c29, 0xae7320bc, 0x80eb38b6, 0xc094ab09,
+    0x00d7a1ad, 0x91340cad, 0x36507550, 0xc77d63ff, 0xb718cfec, 0x71b85112, 0x529632fb, 0x76e38025,
+    0xcb3f45e0, 0x0dad2d14, 0x20fee3a8, 0x747fe944, 0xb750ce32, 0x84c68978, 0x89037a3d, 0x861e4927,
+    0x69912e75, 0xe3c5954b, 0xf81b036f, 0xaeb89fd1, 0x43e547be, 0xfd8f0986, 0x170af122, 0x912065c9,
+    0x6e72e50b, 0xeb708cec, 0xc7a5f594, 0xcb081c7a, 0x5592b278, 0xc44cd720, 0x85728703, 0x4ce1e589,
+    0xe0013d03, 0x259548bc, 0x6e034cb7, 0x02a6e4d0, 0x21ee9026, 0xf9d16653, 0x4d39ec2c, 0x0ba38110,
+    0xc97cc40c, 0x3eb040ac, 0xb747157e, 0x41bad2eb, 0xc642276b, 0xf945ee2c, 0xd552e163, 0xff88364d,
+    0xcb181f6c, 0x0e555af1, 0x7274c5a0, 0xced481c9, 0x07f75302, 0x4e0ec01a, 0xb4b0606a, 0xbcdc49a9,
+    0xd13d2e88, 0xcccc628a, 0xff7a8180, 0xac73e567, 0x380943fd, 0x09ece5b0, 0xca5ad3b3, 0xcdcac1cc,
+    0x13c35fdf, 0x94861e8d, 0xa85a38b7, 0x8652a0d4, 0xb693512c, 0x3ebac284, 0x17885120, 0x7bca1787,
+    0xa143b730, 0x8349f79a, 0xd5d053f1, 0xc2ebc0cd, 0x56f9d34c, 0xe6dd979c, 0xb09f23b6, 0x5fe85cd9,
+    0x2600737f, 0xf4e4ca02, 0x5e910159, 0x429c13c7, 0xd260675c, 0xcfe45cd1, 0x3219c3ad, 0x8fe87b27,
+    0x07a97fb2, 0x0ffc7e7f, 0xe8927fea, 0xc7584286, 0x852d57b6, 0x50391921, 0xde4ff2ec, 0x73f3335d,
+    0xa5024e07, 0x585eea65, 0xc3e3c5f8, 0xc9403abc, 0x6a472bae, 0x50c045eb, 0x54d93beb, 0xd46995cc,
+    0xda233a67, 0x5f24a4b3, 0x735df139, 0x22bf4cdf, 0xa196874d, 0x1be691ec, 0x05c088a6, 0x83a6ac70,
+    0x43cc5dbc, 0x34767ae2, 0xafa6c710, 0x4921aa04, 0xbf824253, 0x09714b3c, 0x9867d60d, 0xc4eb90ce,
+    0xcb2dbb54, 0xeeb517fd, 0x80c1a337, 0x422dd962, 0xc617dbf8, 0xdaa28f81, 0x54e3027f, 0x7de0c7f8,
+    0x863cd768, 0x71d8bd0d, 0x388c7c2b, 0x26d7bfe2, 0x90530c63, 0x4af178cb, 0x2c060e14, 0xecebbea0,
+    0xa5a025d3, 0x881de76d, 0xb2796b0e, 0x505bbfb5, 0xc96ae618, 0xeb129940, 0xe59722a1, 0x2a65f4d5,
+    0xb5e5e66e, 0x7bae2fc4, 0x4d0df4db, 0x14b867ae, 0x60755f2b, 0x22fdf2cc, 0x7fe2e3f9, 0x4e676720,
+    0x55b50f40, 0xfe00ee06, 0x99a468fb, 0x09184d70, 0xc6c65bb5, 0x717da27f, 0x37479ae8, 0xb23af90d,
+    0x91163ea6, 0xc7b37466, 0xe34c08ff, 0xd92233e0, 0x9fa5a8d6, 0x1a3b5582, 0x47c96842, 0x87ba8174,
+    0xf31b04bd, 0x2a0a9557, 0x326f6eec, 0x8c5bd14a, 0x9d77f22d, 0xe4e51ca5, 0xa88cce32, 0xcc272acf,
+    0x719759f7, 0x684ac827, 0xdd3875c0, 0xe357f1bc, 0x3a835df9, 0x07ac52f9, 0xd8f9bf96, 0xa48933f0,
+    0xa5d5132c, 0x4dace68a, 0x69f033a0, 0xc571f977, 0x6f4a29e2, 0x9c569ee6, 0x5a45112f, 0x2f362b9d,
+    0x03c61604, 0x1c810aa8, 0x4c7e3a0d, 0xb3e9d3c5, 0x395f59a3, 0x93e75372, 0x8a7ab70f, 0x2fee19d0,
+    0x2bc58a39, 0x58c7be18, 0x9ffd20c7, 0x28ac52cc, 0x8156ddee, 0x1574e40f, 0x78d1b431, 0x8186ee27,
+    0x836cec00, 0x0950e7e5, 0x4dc552d1, 0x80cb3f4a, 0xac2570f7, 0xf6212f2c, 0x93022017, 0xd19bef41,
+    0xa013d7a2, 0xd618797a, 0xd69b35ef, 0x2e2bb540, 0x4b94baa8, 0xff60d2be, 0xab6bb6f4, 0xc105d29d,
+    0x48762061, 0x91f2d613, 0xc8a2e531, 0x5a1f0bd5, 0x95376a7c, 0xb734f36e, 0xf4ee0bfa, 0x078928e4,
+    0x0502ff8f, 0x90f4400f, 0xdce7f4b5, 0xe3859806, 0x7bcf5e04, 0xc8ba5cc5, 0x53c837d2, 0xcb952a6d,
+    0x294f8183, 0x6d1dc819, 0x992d7345, 0xd1f2fee8, 0x6f61aa23, 0xb36e8af8, 0x21101d05, 0x5db0fc05,
+    0x895561f1, 0xad9c1c49, 0xe8d3924c, 0x4fc39b5e, 0x767297a3, 0xd00384e9, 0x4b092169, 0xc36161fd,
+    0x5f13d647, 0x4989896d, 0xf8d27e50, 0xc21cc378, 0xce8ceb3f, 0x218c78c4, 0x3d67dc7f, 0x647dc30a,
+    0xd0f97cbe, 0xc2c03aae, 0xf422bf9a, 0x4cf33b15, 0x6547eb70, 0x8c931967, 0xc34acdcd, 0x35a834d7,
+    0x160faf75, 0x0ce6e604, 0xca3c26ce, 0x34c07a43, 0xa84d5daa, 0x3b45ff73, 0xf37695dc, 0x55798be1,
+    0xe4eccfac, 0x53c7e819, 0xeb6e168e, 0x670338d3, 0x235f6d3e, 0x513af03a, 0x09cb359c, 0xa90de95d,
+    0x9a8e484c, 0x1e265f1f, 0x0080b255, 0xae3f6ab9, 0x009fc606, 0xf7708b43, 0x0c54d144, 0xb794b5a5,
+    0x1d86e323, 0xc45a5e11, 0x8397e57b, 0x81baeb82, 0x848c55b1, 0xbeee440e, 0x284abd53, 0x6908c582,
+    0x4dec37bc, 0x32ce1248, 0x448a670a, 0xcbb1179a, 0xaa793390, 0x095404e4, 0x0e3702ab, 0xa23d5f3e,
+    0x5a7e03ff, 0xb758079a, 0x651c0d00, 0x819a33e0, 0xc8c1ac99, 0x6d1c44c1, 0x0284932c, 0xb667cf9b,
+    0x899202d3, 0xdcfdd795, 0x533fc35c, 0x53599d47, 0xc474dd85, 0x9e930ea4, 0x8acae53d, 0x243f19e2,
+    0xbdaf772d, 0x0d1eed54, 0x75d184bd, 0x64f6e6ea, 0xe8a2aa3b, 0x8cadb8ee, 0xb7ac57d8, 0x079ada3c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000089589789687112168422297691\
+                          22273777112486581988938598139599956403855167484720643781523509973086428463104 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04,
+    0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3d, 0x317ccd78, 0x10b11570, 0x62e0ed9f,
+    0x00000000,
+    0xcafd174c, 0x4dcb6d97, 0x7a93bdec, 0xeb7476a3, 0x2296cfc2, 0x22b8cc6c, 0x6d8100f1, 0x481c85b5,
+    0x7cc65012, 0x8d965f4c, 0x0cebcb6c, 0x77974322, 0xad7c328e, 0x324653b2, 0x89c741f1, 0x1a1ee249,
+    0x7e37ae53, 0xcad04c37, 0x24fff32c, 0xc9256e19, 0x5b5c501a, 0x1bc51974, 0x9a587bff, 0x875aa5fd,
+    0xbcab42b6, 0x62794ecf, 0xa8cd8eb9, 0x5ec45797, 0xd7759310, 0x9a50cfc4, 0x74551036, 0x4d21ddc2,
+    0x88358d94, 0xde4a446f, 0xc90d04cc, 0xef7067dc, 0x8844ae99, 0xf97cde2a, 0x1fe0cd7d, 0x52b2cf5b,
+    0xe2355692, 0x49eee8fc, 0x765bc2dc, 0xbf1ae754, 0x8a2ff296, 0xa8d778a1, 0xa7b7262e, 0x8a9890fc,
+    0x9dc3511c, 0x0dc5ec00, 0x5b25c4cd, 0x56f09e6c, 0x972dd879, 0x903b87db, 0xb804a05e, 0x3bd8e0cd,
+    0x3bee72ff, 0xdfccd469, 0xc0d44647, 0x091d6bb2, 0xca0aa96a, 0x8c4da8e9, 0xc40a46c7, 0xc5f15961,
+    0x4e6a0469, 0x90114f85, 0x77fc4209, 0x65fbe277, 0x9db59dcb, 0x1ce90c55, 0x2a839b88, 0x2b019b02,
+    0x4782591c, 0xb3d8659a, 0x8003deb0, 0xfdffbd4d, 0xb64e4654, 0x36f6e651, 0x8cdfe5c7, 0x8ae87cc7,
+    0x81656575, 0xa8f3a5a2, 0x6a76b0f1, 0xbb20db3a, 0xa8573dda, 0x409b3932, 0x2f0936df, 0x2ab9087b,
+    0x3b3358bc, 0x1119263b, 0xdee77c10, 0x32663ca4, 0xd7b9cd51, 0x6a714372, 0x83767bb9, 0x6a56494e,
+    0xb90912eb, 0x72518c40, 0x033e6450, 0xc27772a5, 0x0ea75f63, 0xb402b169, 0xea8f8d0a, 0x09b0a52f,
+    0x8c464f56, 0xd723e630, 0x943c9df5, 0xdcc53531, 0x7650d663, 0xa1dc8433, 0x308299d4, 0x847d13f8,
+    0xefc56c99, 0x3d84042f, 0x28297071, 0x9257f800, 0xe3777bba, 0x0788244b, 0x52996d6a, 0x0b425b58,
+    0xf3b757c9, 0x8a05cbc3, 0x9a27666e, 0x5e456190, 0x9a537a39, 0x673bfe55, 0x8999f017, 0x852e1ec2,
+    0x335bc735, 0x6f81f834, 0x515336e8, 0x533580f0, 0x578a0e67, 0xe7d6a97b, 0x073e9983, 0xa7876608,
+    0x319b3b2e, 0xe29ca5e2, 0xd71ede43, 0x7b115460, 0x3eae1f6b, 0xe38a9036, 0x8d87c261, 0xae8b46e3,
+    0x1367dc36, 0x19546ec7, 0x02078542, 0x01023df6, 0x11c55da9, 0xef1bcdca, 0x5cf4a6ab, 0x0ace5957,
+    0xf168e5e6, 0xd3340753, 0xefd5e0bc, 0xc803b03e, 0x6b45d6db, 0x26d0c862, 0x51ccda2f, 0x49793911,
+    0x3f89fd38, 0x90876588, 0xbb23837c, 0xf832cba6, 0xc158f990, 0x411f9b86, 0x288df5ac, 0xebef40bb,
+    0x631aedc5, 0x31e5f147, 0xeaa0c002, 0x51d05315, 0xc2cefbd9, 0xd620c4dc, 0x8a7eb125, 0xe1352152,
+    0x9fd2d29a, 0xe9a266cf, 0x8179458b, 0x48ad4aa0, 0x6ca59132, 0xc74981d2, 0x70670b12, 0x55b779ff,
+    0xa9036b63, 0x6a986ee2, 0xe3f41180, 0x987c457a, 0x877ed4d5, 0xf0d18de8, 0x1aa10628, 0x1f2a4c5e,
+    0xa0251e63, 0xc56e99f5, 0x9c5d86c1, 0xe7222332, 0x94bc8e72, 0xeaca96c7, 0xf7cda713, 0x8d3f6fe2,
+    0x6a5dd7a0, 0x1c53c644, 0xeb484eb1, 0x94905214, 0xeb5ce0c4, 0x3df8e5db, 0xaf497506, 0x6e932dfd,
+    0xf69664c2, 0x831e0cf4, 0x21c39b64, 0x3d34a385, 0x2e77a7c3, 0x674bbcf1, 0xbf832289, 0x1c4cbebf,
+    0xf583ca36, 0x2a5dcd97, 0x0950596a, 0xb898723a, 0xbe53e618, 0xe1145637, 0x9b40662d, 0x94097c5c,
+    0x253ac632, 0x21e2ac09, 0xef9063fd, 0x910c5a76, 0xb7216bfc, 0xea6ac68e, 0x645bc830, 0xb3cb9706,
+    0x452f138e, 0x39f6d639, 0xd5c254eb, 0x69d67ea3, 0xf7e69ab6, 0xd4f22546, 0x5f21c88d, 0xebf5d707,
+    0x5dc0db2b, 0x26c3d241, 0x2591a5de, 0xa133b229, 0xdf46d964, 0x22861ca6, 0x3fff8b30, 0xacb6f574,
+    0xab8ba5fd, 0xb245a287, 0x67031c49, 0x2d34db66, 0x08047538, 0x0d8b74e1, 0x952f6ff5, 0xc0c71941,
+    0x4f4cb45c, 0xc68d905b, 0xb5db3a84, 0xc9da92b1, 0x423fa983, 0xc157bcd6, 0x1b5386bb, 0x44613b7f,
+    0xa219c993, 0x2d65cc61, 0x4a268d45, 0x36265f37, 0xe78a659d, 0x6005f62d, 0xe0f96417, 0xd5b760d1,
+    0x2f5b689c, 0xe1c707d4, 0x07444221, 0xf7dbee56, 0xa0ae33c9, 0x0f5ec874, 0xc4b28def, 0x93a69abe,
+    0x435451e3, 0x8c899cb3, 0x832c14e2, 0xad7c0fb8, 0x0c82f442, 0x49ab1b19, 0x87a2e9bd, 0xa34dd5f1,
+    0x5601218f, 0x7ec4d3ee, 0xc9a9bdc6, 0x0c2456d0, 0x8f976bf8, 0x89b2b0be, 0x4816ca0d, 0x10cf5c3c,
+    0x96e87123, 0xd95f0c5f, 0xc3e3b807, 0xd305fa88, 0x141f8fd5, 0xb343cddf, 0xfbdc9ac9, 0x6d28a104,
+    0xb04896ac, 0x4c264906, 0xec0af9d7, 0x4868dfbf, 0x1c1b4d4e, 0xa686a5a7, 0x53f9721e, 0x717cb22f,
+    0x9501ab01, 0x615eaa62, 0xcd21f9b8, 0x05b6f884, 0x8307f1d7, 0x7df451ca, 0xba657e13, 0x8b478825,
+    0x10e9fc2b, 0x0a58bcc1, 0xc0c828bd, 0x4285893b, 0x694728bc, 0xafaf3bbb, 0x7e271b9f, 0xae383003,
+    0x8886a14e, 0xcb0846ce, 0xf8d9f177, 0xbdf4b033, 0xffa19e16, 0x61f45969, 0xd6bb03a1, 0x9a0eab64,
+    0x301a042d, 0x5ccd962e, 0x00fd1097, 0xcea7b3db, 0x59bd5f63, 0x92b56523, 0x2666091b, 0x81fa030f,
+    0x6a71505a, 0x8cd3c446, 0x6bb99a33, 0x6a0f919e, 0x84dcae84, 0xf87c3206, 0x7fe9d22b, 0x4ec8b34f,
+    0xd2063903, 0x9a7abb23, 0x517119be, 0x05e3f791, 0xaf1b6756, 0xb7fe39b0, 0x78aaf5f6, 0x465ba1f8,
+    0x177cc55d, 0xb3a9c2bb, 0xd8961ea4, 0x6cd1e349, 0x6131f350, 0x76ed072d, 0x9239271b, 0x14c56e2f,
+    0xec590659, 0xcd408c04, 0x0356fadf, 0xec0dccfe, 0xb371a781, 0x21e7be65, 0x14b3694c, 0x0ca29e98,
+    0x22ff60f7, 0xe969ef18, 0xba1e2f4c, 0x67506e9c, 0x023fb12d, 0x5b4de386, 0xc8fdf8c4, 0xb2ce5961,
+    0x928bc987, 0x79d0bda1, 0x73d2d824, 0x10a3ae91, 0x09ecc659, 0x33a8db1a, 0xca31dea3, 0xdd2e3853,
+    0x7e81a721, 0xbbd40e47, 0xc0bac49e, 0xf24c41c6, 0xafd18802, 0x075b32bb, 0x0c798a3f, 0xaa4a041b,
+    0xe76563fb, 0x6874c56d, 0x09fc13d0, 0xc101afe8, 0x9e62c799, 0xba4b7fdb, 0x1ee39f0e, 0x98064f0c,
+    0x02044731, 0x9e7c2f38, 0x61678dbb, 0x0e9dde2a, 0x9a7720d4, 0xb6e99351, 0x600c5608, 0x044d73e0,
+    0x8dc73748, 0x8d0eecaa, 0x372e3299, 0xeeb8779f, 0x20082010, 0xf51bd850, 0xb690a769, 0x4f0ced20,
+    0xc3ccd748, 0xde16dd02, 0x909019af, 0xc2e813d8, 0xb59f02ef, 0x55f4155b, 0x771b5110, 0x050ab612,
+    0x7bb4a592, 0xeef4b620, 0x057ae86d, 0x8d1d0ff2, 0x8a6b98b8, 0xdc6d8451, 0x45ca1f06, 0xd0a87ad5,
+    0x9f54fd2d, 0x9906a369, 0xf38793ba, 0xe0a46d79, 0x5eab945f, 0xcd1f08ef, 0x048e5957, 0x9a9f7fa0,
+    0x9e7cf123, 0x1bd32d94, 0x89d6caa2, 0xfcfac1bc, 0x22f96ee9, 0xd67f3ac9, 0xef4ff15a, 0x12e226d0,
+    0x4d4ae235, 0xc5b264d8, 0xb02cbec7, 0xe3006971, 0x9896823a, 0x3757e132, 0x08ddc04c, 0xc18557d6,
+    0xb50fa1c0, 0xe94ea9d0, 0x0607a2e3, 0x175c2d38, 0x970478ea, 0xcfe23455, 0x1a0bbf60, 0x38f4f84d,
+    0x5c05480b, 0x2d6bee2d, 0x3a6a41ca, 0x08dfda09, 0x6085c872, 0x9c6b523b, 0xeb07286e, 0xec52a991,
+    0xc997dd0e, 0xcc36fda5, 0x133ddaad, 0x148345eb, 0x1a574f7e, 0xeb41d79b, 0xb7a1cb66, 0xff1ce25a,
+    0xe65fbcb8, 0xab8219eb, 0xd884df83, 0x91269e66, 0xbe7b7a0b, 0x09064db3, 0x1d33d81e, 0x04f202c1,
+    0x4a9c9ed5, 0x4e2728c5, 0xd42b9f0c, 0x317bb7cb, 0x798d15ae, 0xec627e34, 0xc579e25d, 0xd7b19d0b,
+    0xd6904e2c, 0xeb71d24f, 0x938f835c, 0x41bc399e, 0x32216ce4, 0x8a8eeb14, 0x03c8dbbd, 0xcab5609f,
+    0x17fe1173, 0x33716db3, 0xe0ac71ee, 0xec0d2ba7, 0x743f5772, 0x9ca3fc8a, 0xb3b3e112, 0xf80e9f8a,
+    0xeedf415f, 0x3f2e6f97, 0xd41c371f, 0x3d05375f, 0x4b665d6b, 0x4c38cc51, 0x2f71e4b6, 0x43223ef6,
+    0x1665001c, 0x998114a2, 0x29e2a6ca, 0x0070a6df, 0x0865c079, 0x95413025, 0xc889938e, 0x1eb10ef7,
+    0xa49cb2dd, 0xe9da271c, 0x001a95f0, 0xe9e113c8, 0x2ec8b72c, 0x6b177168, 0x0ab8216b, 0xd6802978,
+    0x839e163a, 0x18e7b0c5, 0x7c8a6f28, 0x1019a0a2, 0x84eada5c, 0x60696b78, 0xdddfdc73, 0x16bb9e3c,
+    0x08c45504, 0x218f8ea0, 0x09b123a2, 0x61c98266, 0x7e79bf80, 0xb9599caa, 0xe734eaa4, 0xa9ea9cb9,
+    0x3e603041, 0x9f1778ae, 0x2c4aa13a, 0x2f252714, 0x948a5ae7, 0x38038dea, 0x09c1dfdc, 0x493d8835,
+    0x914092e5, 0xc607f33f, 0xdcda962a, 0x615c923a, 0x043208e1, 0xdf785ea2, 0xaff040ad, 0xdb912dde,
+    0xbf3cbdb1, 0x10c41430, 0x3e6177c9, 0xa5774c1e, 0x13e65be8, 0x69626851, 0x6e57b740, 0x7bbca36a,
+    0x671d9a06, 0x267a3da4, 0xabf58c2d, 0x8b9a5d43, 0x44e3e48e, 0xcede7265, 0x73fac72d, 0xf2f09056,
+    0x34db98ea, 0x47e1e4d6, 0x22b225ee, 0xf84f1bd2, 0x2a3b618b, 0xad528275, 0x637fc2e4, 0x2c651dfc,
+    0xbcdb8f6a, 0x7dc5003c, 0xb4f9d55b, 0x137de88f, 0xdfd95bbc, 0x01fe9fd1, 0x90e93e7d, 0x1a9820e2,
+    0xb342118b, 0xb8947556, 0xc6ad62d9, 0xf26a366c, 0x3de70e8f, 0x3f860bc8, 0x0b0d08c0, 0x35171e05,
+    0x4de7e6f0, 0xfb1a1d44, 0x6aef7793, 0x9064a36a, 0xbeac3229, 0x90d1378e, 0x6008163a, 0xf94fb897,
+    0xa0cd9bfd, 0x7d37f721, 0x9f59d514, 0x2b3a98ac, 0x62a0887b, 0x41698cb3, 0x1e49c4da, 0x450158b6,
+    0xe5422358, 0x5965bb73, 0xe044dd47, 0x221801a9, 0x60e487f9, 0x81ffdb02, 0x173d96c7, 0xf9b13edb,
+    0x559f35af, 0xa87fdc25, 0x685849b0, 0x5232e93a, 0x16c9fe69, 0x55006bde, 0x9b53eb1d, 0xcad68f97,
+    0x5a16a895, 0x1479a53d, 0xe1003f26, 0x4d2c636f, 0xb69df0b2, 0xbea42d61, 0x8b1b4f83, 0x9558ad02,
+    0x1f5344f1, 0xe08b4e34, 0x0eaa6689, 0x98058959, 0x65752da9, 0x3cfd40aa, 0x078270dc, 0x418c84e7,
+    0x7aeabf67, 0x8b75a742, 0x1b18d29b, 0xfd8a447d, 0xdbc61a78, 0x37dbb3b3, 0x0bbca315, 0x16a23b99,
+    0x56189f2d, 0xd23af33d, 0x79108acd, 0x3386b626, 0xf4c0c60e, 0xa3039fb3, 0x1b449878, 0xae016a75,
+    0x2c7e9976, 0x670fd2df, 0x307ea917, 0x441fa55f, 0x1e9486d5, 0x96c0b149, 0x4c46d5f8, 0x86013c12,
+    0xd206a0ca, 0x1779f9a2, 0x74ebb1cf, 0x914467e0, 0xbae117b4, 0x0f91b937, 0x97e683cf, 0x87cd1acb,
+    0xb391a3b1, 0xc4ffa8eb, 0xcf94e915, 0x6bf9b9d0, 0x6c0e9724, 0x1dccdaa6, 0x7cca1429, 0x6a84fec7,
+    0xb7805c25, 0x4fa4d7cf, 0xe3f1ad55, 0xa6161246, 0xf7d3f44c, 0x8aa3444d, 0xb73d5c55, 0x31dfb1f1,
+    0x42394ae6, 0x34cdf85e, 0xd11c29bf, 0xdaa2fd88, 0x7106d0a9, 0x42d89516, 0x046f2bc6, 0xe6bdad30,
+    0xeb2b7067, 0xbfe00df0, 0x2e99ef4b, 0x15d9c8eb, 0x836c12fa, 0x441916d9, 0xfcdbcec2, 0x63125cf7,
+    0xee6a78cd, 0x96ccaaaa, 0x4b92d2d0, 0x50efe41a, 0x42c87d13, 0x9a248cfc, 0x6f0ba745, 0xcf65f109,
+    0xd0bd82cf, 0x53612d8f, 0x7bd6f334, 0x3c5497de, 0x5c0c2295, 0xadb7880e, 0x55ab17f4, 0xe9803c3c,
+    0x61928c51, 0xaf2b8de6, 0x7e7b4c33, 0x6d199628, 0x88487079, 0xd5238a69, 0xaddd5494, 0x3c458324,
+    0xae2f365e, 0xeaf96d22, 0xdb445c7b, 0xc3a79fd8, 0xb36f71cb, 0xb320ac9d, 0xdeb7f795, 0xcd0b7876,
+    0x15d552ec, 0x838e2d58, 0xd9795fdc, 0x4a9cbe22, 0xa50a34c0, 0x574c3433, 0x0f0731f4, 0xf82f66af,
+    0x31fc01d2, 0x4d909111, 0x8d249528, 0x698c2f3d, 0x5127e2fd, 0xbd9eca6c, 0xe50b94ab, 0x7775e9d8,
+    0x9cd85eba, 0x94bbf6a5, 0x638b4502, 0xd39f00f8, 0x7d6585d7, 0x31999e03, 0x8c57c2a4, 0x30490a3b,
+    0x2cceed00, 0x0a58b4b5, 0x8d372678, 0x483642b3, 0xea4b09f0, 0x2c25fe91, 0xbe18015d, 0x2060b907,
+    0x8b9b55b0, 0x645c8b6e, 0xefb6b761, 0xa85e7228, 0xf9931366, 0x8813d7a7, 0x2329c25e, 0xc5062dbf,
+    0x02582a51, 0xacd8cafc, 0xb2c7a212, 0x98ea23f6, 0xab75f6d9, 0x66aebbf0, 0x6c15b760, 0x0b885385,
+    0xe5ced073, 0x33de53f3, 0xca91a863, 0xb0201b71, 0x412731a6, 0x9739cb58, 0x20268746, 0x580819ae,
+    0x570be875, 0xe3453be4, 0x102d629a, 0xa5d40914, 0xee5f58aa, 0x514c268f, 0x779746ec, 0x325da796,
+    0xa9fa899d, 0x5b933d63, 0x445f0d36, 0x10d625bb, 0x55fe83b3, 0xdee90530, 0xac948246, 0xbfcf93d2,
+    0x7f3604f2, 0xac50f7ef, 0xbef46ba3, 0x78c92561, 0x41cce12a, 0x63ab8bbf, 0xdcdd986e, 0xf8ab2310,
+    0xc707686a, 0x9a95a2e8, 0x0806534e, 0x57584b49, 0xba07c07d, 0x2c9fc394, 0x81163deb, 0xa789316f,
+    0x6ab5ddee, 0xb9e67db6, 0x6ebbfc51, 0x175d65c6, 0x5bbaa0dc, 0x42d6bf7b, 0x50843b89, 0x0c5cec32,
+    0x593d571d, 0x40d4833b, 0x1f408e2c, 0x5f7a9211, 0x5b7136e0, 0xbfe96265, 0x2cae5d7a, 0x666e1cf6,
+    0xa303afe9, 0x1db616ab, 0xa20b32f8, 0x7a1cf18f, 0x41510200, 0xdea3e332, 0x3b88a5ae, 0x8578e9d4,
+    0x267dbfca, 0x7301c1df, 0xca71c6fa, 0x61f102df, 0xd1d7cd77, 0x50bae317, 0xff0d2558, 0x1e46c337,
+    0xfa999980, 0x6ef26dbe, 0x9fe4d312, 0x67e2bb64, 0xa03fce94, 0x070fb9de, 0xd4ab7c51, 0x7f9b7a1f,
+    0x12d9fbae, 0x25d36560, 0xee1aa2e9, 0x06063b2f, 0x9cd29fc5, 0xcb5b2138, 0x98e14c6f, 0x19fd983e,
+    0xe797a9f3, 0x64939400, 0x174555b1, 0x7d88f26c, 0xde5dbaed, 0xa936afd2, 0xf0e3396a, 0xff46bce8,
+    0xba4d0757, 0x0daa0563, 0x6afb7ba4, 0x4c02dba2, 0xe3f24c68, 0xb1504e53, 0x8c2673a1, 0x20660d57,
+    0xc316b325, 0xc4f1a18b, 0x3a0c78fb, 0xc35e0d46, 0x6c3c6ee2, 0x22316991, 0xeed70db9, 0xef8e834b,
+    0x9f402857, 0xde0159d8, 0x6abee588, 0xafc96029, 0x0a9d8504, 0xf4ca69d1, 0xbe811f72, 0x3b7309d9,
+    0xd7eebc75, 0xcb78d940, 0x67689c2c, 0xa5c29c5d, 0x37a901d6, 0xbb7930a0, 0x1af1235c, 0xf8ffc224,
+    0x17e4f233, 0x09da1043, 0x85ed50e5, 0xa56f412a, 0xd852a2ae, 0x13de0358, 0xc5e11c4c, 0xa5c829c2,
+    0xf4c4920e, 0xaf8571f7, 0x79aa5cd9, 0x7737b743, 0x857aab42, 0x535037d1, 0x2ee366e7, 0x99515a36,
+    0x0931cde3, 0xd6b27d8b, 0x79fd7b43, 0xf92c7961, 0x84b557d9, 0xd7ee0a69, 0x3c194e0b, 0x68baa743,
+    0x230daef1, 0x9be4f37a, 0x8aa456c2, 0x68f8f6c7, 0x60865fa4, 0x4d068ff0, 0xbca9c769, 0xd8eedcc9,
+    0xcd872289, 0xbfb59882, 0x1fd39947, 0xc7569c4d, 0x69fd18bf, 0xe9eab4be, 0x7ad657b3, 0xe0414571,
+    0xc257fbf0, 0x4d925c8b, 0x74ab126f, 0xff0f71f4, 0x3de5a6f8, 0xd230a231, 0x84bf70e8, 0x93c29548,
+    0x36d7a9f0, 0xc0419421, 0x570d7974, 0x18277049, 0x12fcd454, 0x00a6924d, 0x88dd3c53, 0x61859adf,
+    0xca51ea83, 0xb65eb561, 0x8e37e010, 0x7ffcb4e6, 0xc4420ca8, 0x6e2c0807, 0x31ced247, 0xfe9db92f,
+    0xd0fd89a0, 0x71f672bd, 0x8d0ceb74, 0x513c2eeb, 0xc713376e, 0x9769ea5d, 0xdc8015ab, 0xce01916d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000044794894843556084211148845\
+                          61136888556243290994469299069799978201927583742360321890761754986543214231552 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502,
+    0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461e, 0x98be66bc, 0x08588ab8, 0x317076cf,
+    0x00000000,
+    0xa130e6cd, 0xbe88aec3, 0x7e98af7e, 0x91d97cb7, 0x2f405625, 0xf7a16eca, 0xbbe35c74, 0xbd8359b1,
+    0x6d8cec72, 0xd9122a48, 0x2270f868, 0xf91185b6, 0xfba1785f, 0xa70cc08a, 0xc3aab4c9, 0xdffda9a5,
+    0xa433bfc4, 0xcbba8951, 0xbd725ebd, 0x54e16437, 0xbd8e2ed9, 0xf6ace99d, 0x2eb8c4fc, 0xc31e60bf,
+    0x2eba7414, 0x9d96f466, 0xc2025c69, 0x1e86a701, 0x7b17382d, 0x48e28252, 0x24b47b6d, 0x741970a6,
+    0x2e751e0a, 0xf4329c49, 0xc9444507, 0x78061443, 0x7da0b79c, 0x8d6b5a1e, 0x0c61db95, 0x8df61dfb,
+    0xb0ef7d77, 0xa38fd342, 0x195b1876, 0xa8ea67ac, 0x8ab3b35b, 0xac8397c1, 0xbb39ed14, 0xc94eef29,
+    0xbca9c85f, 0x14f9b8d0, 0x0b65a5c2, 0x32f74f06, 0xd2b8a608, 0xdbb5d4ba, 0x5b25494c, 0xe5867184,
+    0xa6b636c2, 0x04f6a0e1, 0xa16a0fd9, 0x4ca1cdf9, 0xbc4ccd7a, 0x16d5c61d, 0x62a0b113, 0x9915c42e,
+    0x8b9c5f1e, 0x2dceca91, 0xf9c29ec7, 0xdb674230, 0x853e8e7a, 0xde5d4cea, 0x6d385db3, 0x1e41a66e,
+    0xed056929, 0xe27f5fdd, 0x9fd96131, 0xeda6d45e, 0xf90e5387, 0x59aacde2, 0xf65ded13, 0xd9445c2b,
+    0x783a6ed7, 0x5469a5cb, 0xe6371016, 0x61b3d4df, 0xf48e5b2f, 0xb2e4c017, 0x32894440, 0xf647e23e,
+    0x6a2f7601, 0x416ff312, 0x77eb52cd, 0xcfe7cef2, 0x3229cc72, 0xa7448a05, 0x939a418b, 0x9ce1c60e,
+    0x2577a727, 0x439f473f, 0xb17c73b8, 0xc8bbdf7a, 0x3a2294e4, 0xdc337800, 0xa2c44608, 0x06441827,
+    0x98a389d6, 0xcfc48920, 0x5ced13f0, 0x3018002e, 0x05ec48c3, 0xa8c9fa68, 0xf90f8969, 0x27abc914,
+    0xa9892c77, 0x776b759e, 0x8cacfa31, 0xe052c92f, 0x36ee404c, 0x9e5d124f, 0x6beaede9, 0xa2ea35bf,
+    0x749a7bc0, 0x04c3fa4a, 0xa600990b, 0xcb5dcc93, 0x7a50c6f7, 0x147270ab, 0x973a9f1b, 0x64ade9ed,
+    0x7cdb6f04, 0xcc173965, 0xbe5da7d8, 0x9ad69f22, 0xf92a91e8, 0x7adf73c1, 0xc7d19941, 0x079e030c,
+    0x55a63a4f, 0xa1566c90, 0x0a7cc3a4, 0x51c213ef, 0x14e53404, 0xcdcdb965, 0x6ccf3b61, 0x59fb0f3b,
+    0x9036388b, 0x71ed809f, 0x6b5a6ec9, 0xd3b6d351, 0x620e2a7c, 0x0c6f4d56, 0x4e077588, 0x68c3461a,
+    0x8468ae38, 0x39e82e3e, 0x40b2a305, 0xdeecce84, 0x87ba09b7, 0xd7a308cd, 0x33e8e795, 0xf4fa8cb2,
+    0xdfafbfc1, 0xdefd6fd0, 0x0c529de7, 0x9868e9e8, 0x0dbe2682, 0xc0aad898, 0xb49d04f2, 0x80d9b989,
+    0x9834691b, 0xdfa6e2ab, 0xfa4631e8, 0xc89411af, 0x1f05fb82, 0xc48d21f8, 0xbcaa2d51, 0xc391eef4,
+    0x4a4a68d4, 0xbd8ef42f, 0xe567156a, 0x43b8fab1, 0x3d3ddd19, 0x7fd0d6f3, 0x7df00b8a, 0xca811ad1,
+    0xf9b03990, 0xa79d1e74, 0xe2b7d6ca, 0x8472c841, 0xdd5b8afa, 0x3349ce1f, 0xf82d30bd, 0x4865632c,
+    0xc58b2198, 0xf09aa378, 0xdfeb7417, 0xfa776b74, 0x2e032de4, 0x7dcdec52, 0x0bbe44db, 0xea5679f5,
+    0x3403e93f, 0xd558c620, 0x5429e453, 0x20af1572, 0xcf529b8e, 0x8802470f, 0x2e9aebdc, 0xfe39f317,
+    0x0c70e2b4, 0xb0a2d76d, 0xaf8d92b3, 0x1439dccd, 0x681f376b, 0xc2158b0d, 0x94e2fe0b, 0x64b10f16,
+    0x397f79cb, 0x0f1867b3, 0x8333246a, 0x6d50a40a, 0xcc6e2a72, 0x6fe7e7ac, 0x9f5a9a08, 0x472fda75,
+    0x026fbf24, 0xee7079b0, 0x66139799, 0x2e0e4cce, 0x356f5028, 0x4b3cca0d, 0x34202593, 0x1feb522a,
+    0xfd049106, 0x844a1728, 0x101960d4, 0x366ee926, 0xb90934a2, 0x33710ae2, 0xabb9636d, 0x3de3c63f,
+    0x1314c28b, 0xb35453fc, 0xc9e9eda1, 0x3ddca786, 0x4c627a54, 0xfd98e314, 0xc997e86f, 0xb1e254e2,
+    0x76593b8e, 0x1a905d2b, 0x3751e5ba, 0x973ff95b, 0x1c671f3f, 0xb83805ba, 0x658890a2, 0xbd92ef7a,
+    0xe1d8ad68, 0x35b91614, 0xc6ee4dd6, 0x7f250c58, 0x3221ce67, 0xade6a3ca, 0x1278321a, 0x5f79bc1d,
+    0x6f280724, 0xc99438d7, 0x540ce059, 0x01e5005c, 0xd938a0db, 0xeee267de, 0x4daedc49, 0xf7d7f8df,
+    0xf07cd733, 0x7e6a5942, 0xbca9d2ab, 0xc99e75b2, 0x474aab5d, 0x87cee307, 0xe905a1ec, 0x41e74572,
+    0xbf2c2cae, 0x61255e28, 0xb370b922, 0x4d7badc1, 0xa7982773, 0x12192cbb, 0x1ef67aeb, 0x6ff2f8a1,
+    0x94c4b227, 0x9f5bb611, 0x9e3c50f2, 0x856fb390, 0xe0fa7737, 0xfcd1dd97, 0x52d6f997, 0x58a3a99d,
+    0x932143f8, 0x936ca4db, 0x3dee3a12, 0x75f9fec0, 0xe9c6a140, 0x7089dd40, 0x7246bab8, 0x1abbc25b,
+    0xb359db7c, 0x6555f5e4, 0x366c4da9, 0xa9d44322, 0x073b183c, 0x8179a505, 0x3a9b300a, 0x28685fb1,
+    0x251cdf4b, 0xf52db23b, 0xe14a9d80, 0x2c1a2100, 0xe15f9986, 0x97531166, 0x3b4299d7, 0xc2575acb,
+    0xd75432f1, 0x36b53362, 0xfbdeb76b, 0xa8cfee06, 0xccd55b69, 0xe09cdbe9, 0x2cc72c05, 0x5d9fc9f8,
+    0x4a25139f, 0x4dd7d1d8, 0xe011a993, 0x863d3e85, 0x85ef1cef, 0xf7c66064, 0xa8c61a69, 0x820ecbe5,
+    0x9078e338, 0xe053891d, 0x08efc10d, 0xef1e8016, 0xbc447122, 0x0ef3c238, 0xf66a037f, 0x6ce3e373,
+    0x7c3c0f6f, 0x6b3aa731, 0x051f2827, 0x940ef2d0, 0x38ffb9d4, 0x6c893b86, 0xe18ad836, 0x783f9cc0,
+    0x6b8d7d5b, 0x8f385dc8, 0xcf7cde16, 0xddf7cb4d, 0xd42e77c3, 0x491ac894, 0x33787d82, 0x82011b40,
+    0x6d136000, 0xefc24c43, 0xa285ba4e, 0x1072c5c8, 0xc3202f85, 0x09ab9e98, 0x5ae44a7b, 0x7ca0988e,
+    0x843b33ad, 0xead535d8, 0xf8f03214, 0xc68bb6ce, 0x9dec40fd, 0xd7956e24, 0x41d4370b, 0x9a26cadc,
+    0x36039186, 0x32876a64, 0xf894bcb5, 0x4b17cd0f, 0x407e4f2f, 0x49757163, 0x1741faeb, 0x77f8f0a0,
+    0x674aca69, 0x33a1fc2d, 0x18f9b4e7, 0x923d5fdf, 0x00057a99, 0xfaf869a6, 0xd203069c, 0x6d285566,
+    0x5112862c, 0x9b2003ba, 0xa17537e2, 0x8e586546, 0x7727f479, 0x0b965e6c, 0xc4a13c96, 0x759f3791,
+    0x50ebfb0e, 0x11a885e2, 0xed0f76f8, 0xb8a051c6, 0xbc8b386c, 0x767f16b1, 0x59970dde, 0x9ed44f87,
+    0xe6ac60d5, 0x162a226a, 0x414d903a, 0x84718832, 0x5bf36128, 0xdc352360, 0xbdaf48fd, 0xc187eac8,
+    0xbb886ba2, 0xce0737d2, 0x606dd524, 0x9cb18575, 0xf078f8f3, 0x5f35a6b8, 0x7976d920, 0x69189515,
+    0x8e987e7a, 0x689d7aa4, 0xcda75343, 0xfba25632, 0xa3512536, 0xf260b55b, 0xad098457, 0xf5fbd2ac,
+    0xa697c9ac, 0xf325d2c1, 0xd60b14c2, 0x4569dd93, 0xd4901504, 0xf6d5ee23, 0x8dd45184, 0x66d200a8,
+    0xb55f38eb, 0xb2b028cf, 0x0fd5c615, 0x2dde7856, 0xbcaa24c9, 0x9a21822e, 0x93f8e4d3, 0xfcb54caa,
+    0xa9e7f10f, 0xafca6dad, 0xcfe4685e, 0xd02f9080, 0xb325c4f9, 0xb4c4bd1c, 0x4922260e, 0x53b64fc1,
+    0xca31e1a5, 0x3f2fe4c7, 0x363bf127, 0xfa96a744, 0x609af799, 0xc8dc4e32, 0x0082cf9c, 0x9fb72b6c,
+    0x650befa8, 0xdc60ee99, 0xbfe5e79c, 0xca27ebe7, 0xe93b7dd2, 0x29357900, 0x33eebe62, 0xcb8fb13f,
+    0x299ced60, 0x9d3902e9, 0x347a48f4, 0xf4faa049, 0x54ff1146, 0x3b1d374f, 0x25795651, 0x9a53968b,
+    0x5d7d9740, 0x14345ca7, 0x842a113d, 0xd6d18b49, 0xe52f9c70, 0xbc1f6d13, 0xc08b78bf, 0x1ed3b81d,
+    0x3a3c1728, 0x2bbc70fb, 0x1a9c832c, 0x84df2017, 0xde89507d, 0xe0ab5327, 0xe290fb0c, 0x55cae968,
+    0x8941c42d, 0x56785c87, 0x928193ae, 0x5073ac0b, 0xf947b9d2, 0xd2c46cca, 0x1f985ea7, 0xa3dd2aee,
+    0x8dc79bff, 0xc5865d7f, 0xff93c8ca, 0x0ce39540, 0xaee494dc, 0xe94a22cd, 0xa98b7747, 0xfebca3de,
+    0x135e8239, 0xb733f1a2, 0xfd18e321, 0x597cef09, 0x7819f4b4, 0xd714347a, 0xe150f84b, 0x80e87c1b,
+    0x33aceae1, 0x0ea9da30, 0xb55f29ff, 0x3811042e, 0x96c8d8b4, 0x8eafe01c, 0xf91cb130, 0xa9440e23,
+    0x3bbb5efa, 0x84fb5ac7, 0xdad9e484, 0xa0c762ef, 0x103eb2ef, 0x1f7c7d48, 0x26ec256c, 0x001648ec,
+    0xef58a670, 0xb14e60c9, 0x1102ebf5, 0x0fcff446, 0x7f900113, 0x2095cfe1, 0xe704657f, 0xd0e0f304,
+    0xbd854c8e, 0x3fa0f2e7, 0x48358a2d, 0x38402e74, 0xcd014914, 0x416d29ea, 0x19c0fcdf, 0x6c30f2a5,
+    0x749ab117, 0xe2f0045b, 0x3150f9c0, 0x2c992816, 0x486a1834, 0xed5b6f02, 0x74caee5c, 0xb4dd6993,
+    0xa6de5af9, 0x4a4ef5ff, 0x9614de20, 0x424f9cb8, 0x467b27cf, 0x7bfe37d3, 0xc0f5ae90, 0x8771e913,
+    0xca427580, 0x502357c0, 0xe4a2a5ac, 0x9e1d8b51, 0x823c0d98, 0x1c2f3eb9, 0x1bbfabfd, 0x2547708d,
+    0xf8e9eb73, 0x3c165ece, 0x740cc578, 0xf544bf65, 0x9b85343a, 0x1bc03389, 0x82e6c68e, 0xefb9b1e8,
+    0x2ac8fc34, 0xf84a3159, 0x501802bf, 0xda599fcf, 0x88823329, 0xa52a36d3, 0xef6eb53c, 0xf5bc7752,
+    0xef6a01e3, 0x5083b2c5, 0xbd767ea0, 0x97462357, 0x27b9ecb9, 0x363484bb, 0xa6ae9cad, 0xe5087bec,
+    0xa7a5ade8, 0x0c2abaaf, 0xbebd62cf, 0x3b2d8609, 0x361eb8fa, 0xb461d490, 0xf73ee2b7, 0xad62cf52,
+    0xc4fdc704, 0xb78b1a36, 0x42a52d46, 0xa0a8bb4e, 0x67ce7eff, 0x41fe271f, 0xaf608ab1, 0x3726b624,
+    0x2fafed33, 0xd4d763d2, 0x1ef0dbfb, 0x54c1e435, 0xd1b7791a, 0x9aff581b, 0x16602199, 0xd3748a0b,
+    0x0fef7220, 0x4b8147ce, 0x6e924967, 0x86a62147, 0xc25589fd, 0xbe36d117, 0xf3c5b10c, 0x2c110d75,
+    0x0053ff18, 0xc73b0406, 0x517523a6, 0x200b074f, 0x267dcb77, 0x05cb307e, 0x00aee011, 0x0afa89ce,
+    0x24a541f1, 0x511a87cd, 0xd08af782, 0x9ab1a9d1, 0x9338c1f9, 0x476cdef7, 0x6bf431d4, 0x7e065223,
+    0x3cca7d7c, 0xa90a9ddc, 0xa0ac0063, 0xc9fbae33, 0x7ec40648, 0x3bb46e68, 0x31d766a1, 0x6098c35a,
+    0x48b78eee, 0x98552a00, 0xf1609510, 0x289cf5a8, 0xdc03a3dd, 0xe88f039b, 0xd229f013, 0xb90fa68a,
+    0xc54848a9, 0x0b4798a4, 0x2d0e5cff, 0x489055a3, 0x057e48c8, 0x8f1e120f, 0x2248fed3, 0x93da55c5,
+    0xab096d13, 0x1a35af9f, 0xa4745776, 0x269cf67c, 0xfb18b398, 0x86c7fce4, 0xa33b994b, 0xbdd9aa96,
+    0x729e9153, 0x87b8a11a, 0xac91752b, 0xbf359831, 0xaede8bd3, 0x7f57d028, 0x7e4ef99e, 0x0f41aed9,
+    0xe5c73c26, 0xba562347, 0xa62b8986, 0x9128cee5, 0xb1d4e5ba, 0xf9ee2d5c, 0x3fa3ef9d, 0x84b03889,
+    0xb647d374, 0xaca68626, 0xfc9fabaf, 0x5b3bc7ef, 0x76534425, 0x29c87aa3, 0xdaf8d060, 0xca1d5cdf,
+    0x7219ba27, 0x0e469430, 0x9ab1ec9c, 0x39c5ce34, 0x9b61cc3a, 0xbe16afd0, 0x416aea30, 0xe86af53f,
+    0x60f8f009, 0x10c2d8a8, 0xf6ab7fbe, 0x0235a0b7, 0xb4b1e576, 0x6afadac1, 0xca526031, 0xb411a64d,
+    0x475a0cbb, 0x8201f3a3, 0xe5e6fbf6, 0x58c9b4fe, 0xa9760d35, 0x3813a834, 0xea143fc4, 0x5f7b0168,
+    0x88fc1041, 0xb75301c5, 0x8e484eee, 0x0cdb4092, 0xf3e5a5b7, 0x72c8cbde, 0xd3c27929, 0x875c5972,
+    0x878e07fc, 0x4d0ea6ab, 0xde15d2db, 0xc94a6205, 0xd35ac84f, 0xf74fd853, 0xde3d4581, 0x899e2143,
+    0xcb9116a8, 0xa0f02492, 0xaad9cef6, 0x061ce009, 0xf8d15c94, 0x0f872cf9, 0x3a8408bd, 0x3f32b894,
+    0x17082a7b, 0x845e3809, 0x8581c2a1, 0x781d9370, 0xee2f45b2, 0x00d97e12, 0x42a9a0f9, 0xefb72f58,
+    0x0f0a72b2, 0xc4752cfe, 0x9e975441, 0x8030a44d, 0x281d4e55, 0xe5858fb0, 0xafab5e93, 0x68a29129,
+    0xf2dca708, 0x0f04d01c, 0x9b591e3b, 0xa8dfd077, 0x24374ff7, 0x3f5be2bd, 0x74b5ef00, 0xb4a9e14a,
+    0x48b1e459, 0xf4e02145, 0x9402aeb6, 0xf381c833, 0x92edba81, 0x0475c3de, 0xfbd8cb98, 0x478be23e,
+    0x5d47973e, 0x5f6d0270, 0x099dc09d, 0x7331f948, 0xae67db86, 0xbc18b463, 0x00be94d5, 0x37a42a17,
+    0x57ffbff4, 0x8d250732, 0xf5c7501a, 0x8850446f, 0x5f99955b, 0xb86eff05, 0xf1a6ca60, 0x0e60a5ab,
+    0xdbcd6a77, 0x957675b0, 0xded37f56, 0xdba3c4d9, 0xf6d96b9b, 0xcc7da4b4, 0x5d62c0c6, 0x3c4b1420,
+    0x78871055, 0x00dc51ab, 0xc33cbd47, 0xa4153e7c, 0x5a5518c9, 0x6f3b1975, 0xb7272113, 0x4a6b5572,
+    0x5da62498, 0x5573d3db, 0x4eb0b474, 0x2d845810, 0x9b53093c, 0x733ceba9, 0x118c4748, 0x5dd99bf4,
+    0xcd030621, 0x3137ed55, 0x63e7b6c1, 0xf172e3d5, 0x613a7b94, 0xfbb19c96, 0x301983a4, 0xae36ac5e,
+    0x93681e09, 0xa37a35e7, 0x5050c321, 0xf3842875, 0xf5f7aa0e, 0x5fae8de6, 0xff1ed686, 0x4424f7f8,
+    0x05cb5e90, 0xb2480bcc, 0x923acc16, 0x3c4d50ba, 0x6ddc89a9, 0xf41f1a8d, 0x0774577d, 0x2ac2d531,
+    0x7f2c2e4b, 0x7c88a705, 0x7b52d849, 0xabd9855b, 0xc983e536, 0x9765f4a7, 0x8e76555f, 0x2d330182,
+    0xecb55ce6, 0xe915f74a, 0x19a9489b, 0xbc5943c6, 0x43f5e420, 0xe42ea4bd, 0x0edb6d79, 0x349835cb,
+    0x21598c64, 0x6e669039, 0xfd3bb6fe, 0x6196b450, 0x304c371c, 0xaae0885f, 0x39fa7e42, 0xdf495cf0,
+    0xaa699bed, 0xfe4a4539, 0xfce2e6b7, 0x8f70f9b4, 0x37f8b4e1, 0x5107cbac, 0x286a3e79, 0x3f071d0b,
+    0xc98f139f, 0x8c300a7c, 0x4124d96f, 0x24c958f1, 0x5bc7efea, 0x0824519e, 0x9fafd570, 0x621c7a76,
+    0x7ea583fd, 0xed9cb1dc, 0xe6c30c0c, 0x2492d609, 0x00936b9b, 0xbe155964, 0x5b7b59c5, 0xe4cf0937,
+    0xc35d7db5, 0x05bc5547, 0x3c5b2108, 0x3f8a233e, 0x31181d3c, 0x4925b2a1, 0xc757774b, 0x0486f232,
+    0x1a70fb11, 0x74834a51, 0x5bde4041, 0xb6285700, 0x2dd6a4b6, 0xaf766c9f, 0xd6924ac5, 0x7c7fbbc7,
+    0x5b8a3940, 0xfda6ec12, 0x761dc45a, 0xabcd1fcf, 0x774ad1af, 0x0a596db1, 0x97d32b65, 0x5752fca9,
+    0x368b4891, 0x3a5bfdb0, 0x30f7df55, 0x8fe65868, 0xce0660e6, 0x0cbdf515, 0x38a043ed, 0xe2209949,
+    0x2881c3a0, 0x8ab2f27a, 0xee43aa73, 0xc57726fa, 0x9cfc5cb8, 0x410e3497, 0xe248030b, 0x8cbec76a,
+    0x9fd301d4, 0x10429578, 0xfaf1aa98, 0x3558b15f, 0x9c94c6a8, 0xec10face, 0x8e2f44b0, 0xd3d8fe4b,
+    0x6ac93025, 0x5952c2f4, 0x9e6a688c, 0x563af8d7, 0x8e724019, 0xdecced0a, 0xc99ce17f, 0x4f805192,
+    0xfa6d6a6a, 0x1a13c4b8, 0x621e1081, 0xf535d222, 0x4b5b5339, 0xeebeba0c, 0x3c1f2c2c, 0x3821007c,
+    0xf4b559be, 0x0ac56e5b, 0x10674499, 0x3d908dfd, 0xc1e95663, 0x9a6e5442, 0x09ed9017, 0xb79af614,
+    0x12a9bae8, 0xd64baba1, 0x51e625b0, 0x54c1185c, 0xfaa2be3d, 0x07c26b43, 0xb48c7e31, 0x436ac121,
+    0xde6a4e08, 0x57dc165a, 0xee22e759, 0xb2505285, 0x5ffafa5b, 0x57965674, 0x8c97ebc9, 0x3b105dc4,
+    0xaf283da1, 0x51471380, 0x8d4741db, 0xa580ec00, 0x9145b067, 0x28c7b333, 0xe873b0d2, 0x902684a9,
+    0xa444e219, 0x9715f40b, 0xc4572a90, 0x316d4c07, 0x70d45970, 0x6baff785, 0x761edf56, 0x12075340,
+    0x216bf440, 0xb4c8122a, 0xa5a7759d, 0x96ed36e0, 0xf4a3a960, 0xb144305f, 0x9b8df785, 0x2b7e3c15,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000022397447421778042105574422\
+                          80568444278121645497234649534899989100963791871180160945380877493271607115776 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81,
+    0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30f, 0x4c5f335e, 0x042c455c, 0x18b83b67,
+    0x00000000,
+    0x8fa3d74f, 0xa55fa92e, 0xabb3680c, 0xcd499eca, 0x886cc58c, 0x61e3db9d, 0x89656d08, 0x0b47ec0d,
+    0x035096d0, 0x531fa7eb, 0x70bac067, 0xb445f7dd, 0x7adbb355, 0x7f25385b, 0x07c3cb64, 0x412fa3e5,
+    0x8ef6578c, 0x64be0225, 0x064ae581, 0x3663252d, 0xa766e546, 0x6ab2aebe, 0xa8a8837d, 0x17ec810f,
+    0x8621c036, 0x24225c96, 0xcf4f3ba7, 0x11a100a5, 0x968de260, 0xf73dc7f5, 0x16c6f95c, 0x163e767c,
+    0x439d048f, 0xd8173142, 0x0ce6b2a5, 0x8c465a9f, 0xc0fcb020, 0x43890225, 0x0ddc6c14, 0xfeae16a5,
+    0xf30994d7, 0xb177008e, 0x2fa17b18, 0x477840a3, 0x971cc345, 0xeaea6026, 0xcb0b2267, 0xb3279d14,
+    0x0beb096d, 0x00a131c8, 0xb2ac5e84, 0x8031c1a2, 0xd233a27c, 0x89f51b49, 0x13d85129, 0x75eadda5,
+    0xb764b7ad, 0xdf526f40, 0xbb202e4a, 0x6bf008e4, 0xee561845, 0xeb438219, 0xd9b8bdde, 0xda949319,
+    0xf99484fe, 0xa998c169, 0x1f4266aa, 0x647767dc, 0xef179943, 0x4ede3b7c, 0x0cad217f, 0xf3a0842a,
+    0xd9634a75, 0x13dd212c, 0xde9dbec7, 0x3e2661bf, 0x24278f90, 0xc05c5c99, 0xd7734ebd, 0xaf3735a6,
+    0x08d2fc58, 0x1d4cfbc9, 0x7ca0ca03, 0x99921118, 0x61d27ff8, 0xceec6f51, 0x136a28c3, 0x71b79d45,
+    0xd3e254b9, 0x8d2da9ff, 0x7e148e84, 0x1bf11ba6, 0x098e40e5, 0x0de64e49, 0xa751e54e, 0x62a4cbe8,
+    0x5feb5ce2, 0xe52fb8c5, 0x838da480, 0x0365f1e7, 0x8f164d07, 0x7c18c60c, 0x76bedce7, 0x0b23619e,
+    0x2554f957, 0x6fb3bddb, 0xbf8e4cf7, 0x7294d21c, 0x4a85f1ea, 0x3b412851, 0xf761e74c, 0x0304f78e,
+    0x3d9be6fc, 0xb5bf8d00, 0x5fc7e727, 0xd1c3374e, 0x3ae5fccf, 0x8949316d, 0x5d25afe0, 0xbc6d8159,
+    0xab42f8da, 0x42962cdc, 0x7b75607c, 0x052f9500, 0x11c7e7fb, 0x8f1d8a1c, 0xa079f2ec, 0xe93dbd54,
+    0x77540c25, 0x8e242c78, 0x050b80b7, 0x4f7d6e53, 0xd6b67ce9, 0xd593465b, 0x544f7261, 0x5d4f2bba,
+    0x6cff60e4, 0x498643f6, 0x3d1c61eb, 0xb21e5cc9, 0x1eec3693, 0x2993db97, 0xc1ae975f, 0x01f59f62,
+    0x56204fc1, 0x0a1ceef8, 0x285fb944, 0x1e2a9e0f, 0x5201bb66, 0xb3f0584d, 0x9601bb3e, 0xde71131c,
+    0xe3e3bc38, 0x76ce40cf, 0xe9ec7044, 0x77a5e8b0, 0xcf46af7f, 0x59c2bc63, 0xdb71c0d0, 0x8d96cf98,
+    0x49a59737, 0xb85a944e, 0x7f90bde1, 0x074f8491, 0x2203add3, 0x796c15de, 0xcb7f77f4, 0xad31300e,
+    0xc15a4c26, 0x14377501, 0x2204ec53, 0xaa41b6ec, 0xa9f0e9a0, 0xbbcb2b95, 0x56421537, 0x16c4bb60,
+    0x905288c7, 0xe523a558, 0x3c9cdde3, 0xa36351f4, 0xeed79342, 0x6cf7e5c5, 0xa768fecd, 0xe5a4a670,
+    0x65943281, 0x89b1b0a6, 0x295d4fcc, 0x2476ae73, 0xcec5f548, 0x5a750a3b, 0xd1527029, 0x4a13a040,
+    0xfbba1061, 0xb7143c53, 0x02fdd2f2, 0x5e43a449, 0x9e46ece5, 0x011aad51, 0x1b3ef654, 0x94095a83,
+    0x2ab61236, 0x2f8d4229, 0x493ff193, 0x101a2fdb, 0x9f84a9c7, 0x48382887, 0x92ce2737, 0x3ec7e7dc,
+    0x1d1ed5de, 0x54854f58, 0x76b4fed6, 0x9dc11cc4, 0xa4c2156f, 0x8a1c664b, 0x48807899, 0x4196b797,
+    0x831ddcf2, 0x843ab62b, 0x6551f7eb, 0x8b9af651, 0x77782075, 0x0c7ea495, 0x3c0c155a, 0xb0cf0673,
+    0xed9041ea, 0x85954aed, 0x777959ed, 0x2aef262c, 0x85716fba, 0x5ce1e1a5, 0x73b4e1b3, 0xec3672de,
+    0xb9b30c03, 0xcc096119, 0x5e368e14, 0x48d23a43, 0x2b8d62ee, 0x3d343a37, 0x69492429, 0x675e403d,
+    0x21ce8d97, 0x7002cc7f, 0xd8edefe7, 0xb5942231, 0xcf201f7d, 0x59379d42, 0x03ad937d, 0xb092d7f0,
+    0xbbdf86f9, 0x79384323, 0xed92b61b, 0x6f8c3e83, 0x5df3a4d3, 0x45069967, 0x375a164f, 0xdae104db,
+    0x133b0f57, 0xdc90759a, 0xb54da797, 0xeba285c4, 0x4956473f, 0xe814f387, 0x50c450a3, 0x09e6cfd3,
+    0x928c522b, 0xe0464011, 0x891547b7, 0x68e9f9a7, 0x8519ac20, 0x271ec816, 0x74c57928, 0x11a942b2,
+    0x2f50b86f, 0x38f19faf, 0xf16a833e, 0x71aa41b8, 0x321a1f3e, 0x8c7def7e, 0xeb62394e, 0xb9de42b1,
+    0xf53254ed, 0x4d07e677, 0xec45a035, 0x8e1755ec, 0xfd3d4031, 0x7ccb9dac, 0x7a65196e, 0x986816a4,
+    0x57fc2977, 0x1c3c7919, 0x5389683e, 0xe41001a9, 0x95d39468, 0xd0252c1e, 0x5e52feb3, 0x7aa52e14,
+    0x71be1ba3, 0x0cf8a406, 0xc26fd158, 0x9ab8db0f, 0x74165d66, 0x9ce5f8f8, 0xc582ca72, 0x7c7835b8,
+    0x32776e6f, 0x75172694, 0x109283c4, 0x839a09d4, 0xa12a2e72, 0x8c534230, 0x9a3ece09, 0xe77feeba,
+    0xe834bca4, 0xd63eb8e5, 0x1f47fef6, 0x132e4ab2, 0xa8aeef1d, 0x7aea1153, 0xbaacdb87, 0xa12f6735,
+    0x4e78abe1, 0xfc3dbe50, 0x2bdef1c1, 0x1bad2ecc, 0xcfa2e6b5, 0xa09a0be5, 0x303453b4, 0x05a73143,
+    0x04cd5744, 0xd9f33d90, 0xf016b9d6, 0xdc0a86bb, 0xd11194e5, 0x99c0561d, 0x4bec583e, 0xed7874ab,
+    0x6fbf366d, 0x593ee4b8, 0x2ab8c782, 0xf38baecd, 0x2dfc0ed8, 0xff11552a, 0x1a94a947, 0x633f057e,
+    0xb8bb5836, 0x71f5ac06, 0x80428c3a, 0x115ea3f7, 0xd7f7fba1, 0xfbca4a6e, 0x87faff68, 0x24abbe29,
+    0x7c2d2fa3, 0xde1ed3ca, 0x01c92fe0, 0x71ff67cf, 0xc4718d78, 0x0dc1c6c5, 0x6bddbd52, 0x43e774a7,
+    0xd21fa382, 0x41972869, 0x2c8847eb, 0xb5da2af4, 0x7784b91b, 0xeee3c38a, 0xef49622f, 0x5e6a3c80,
+    0x2846228a, 0xdeb201ed, 0xb406ac01, 0xf5c94edc, 0x621ecc30, 0x5f88cba6, 0xde824ee1, 0x9859ef4a,
+    0x7c17569f, 0xa758e632, 0x66fa48a5, 0xc8974412, 0xf518a09c, 0x1a884248, 0x76de7e97, 0x885eab73,
+    0xec4f77b5, 0x857c84a2, 0xc8ad6cf5, 0x2c416a57, 0x2c0c56ef, 0x4957dfc5, 0xb5bb511a, 0x201cd489,
+    0x35a220bd, 0xf134a3b4, 0x65d577c3, 0x106c770a, 0xc5fbac72, 0xa32c12c6, 0x8baf0adb, 0x092be666,
+    0x1ae5852d, 0x12912e03, 0x6839e382, 0x4e41ff96, 0xbd7f43d8, 0x9cb534c3, 0x6080a5f6, 0x0eb258da,
+    0xe98abddf, 0x7d75cf5f, 0xea4cfdef, 0xbf57f08b, 0x060498e9, 0xb8bbfddd, 0xfc813e35, 0x67bed3d9,
+    0xbcff06ac, 0x5f5f053c, 0x132d3709, 0xa62ce91c, 0x4eb561be, 0x14f9a5ce, 0xeb6396fd, 0xf2cff38f,
+    0x1f809eff, 0xcf204bff, 0xe2aa80e7, 0xbca5ba58, 0xe47c4fa5, 0x0d326529, 0xf5f6be06, 0x51cfcd19,
+    0x7cfd4e80, 0xdc1d52d3, 0x3d0442e4, 0x28313aca, 0x01ce42dc, 0xab6bd8a0, 0x09b6288c, 0x282f6fcd,
+    0xf4f8ca04, 0xcdd51d44, 0x82666a5b, 0xc222284b, 0x25cc2587, 0xddef1ece, 0xef3f82dc, 0x1c2ea79f,
+    0x93f27ed7, 0xf17fd1fc, 0xddf20b25, 0xb718ae06, 0x59247354, 0xe02bc51a, 0x3fd5dd3f, 0x381da976,
+    0xd0934232, 0x50027a65, 0x6a24a717, 0x4294beb3, 0x0ee4bad9, 0x009251ca, 0x240f354a, 0xa6931772,
+    0x39caf478, 0xff945da8, 0xf258fdb7, 0xf4467c40, 0xb2d73b02, 0xa26fd749, 0x7e166b9f, 0x100806b8,
+    0x3ddd599d, 0x44599724, 0xbfe08c61, 0x7fd0d5d1, 0x101a6807, 0x0e3bccdc, 0xcb3d311d, 0xbca8f0af,
+    0xc5796987, 0xb828379a, 0xe0347314, 0x02f88b88, 0x85a9b4d3, 0xcf11713e, 0xc2e60b37, 0xc8c1e7c0,
+    0xfa9c0982, 0xd0b0a568, 0x25280244, 0x77880911, 0x5ec7c6a2, 0x5af0804d, 0xf42984aa, 0x8216cd3f,
+    0xdebe0cd6, 0xfdb0a955, 0x12a1a678, 0x6e5946bd, 0x9999cb6b, 0x966f4412, 0xac8433e0, 0x7ecac17a,
+    0xe71fe15a, 0xe5a73b6e, 0x7829b4e6, 0xef0bc9aa, 0x766a1a00, 0x94c53457, 0x50cc8d6f, 0x91314d7c,
+    0x939b6600, 0xafb8e490, 0x8c4cfbc6, 0x137f2e40, 0x0b2d736a, 0x3843c782, 0xbb09f7d1, 0x36e6970e,
+    0x162737fa, 0x5dc5e1ea, 0x9b77724f, 0x4c4d0e4d, 0x2f355505, 0x44288878, 0x80d8d6b4, 0x162d1b57,
+    0xc68da314, 0xeec9f1ae, 0xf9faa571, 0x85f4ee52, 0xa7d11d22, 0x7d8a4903, 0xfeb4041b, 0x7a87e826,
+    0x5e0f3734, 0x2a306f48, 0xc406065d, 0xe8aa8514, 0x616bec36, 0x75f8592e, 0x0fa82997, 0x05e8aef9,
+    0x5863753e, 0x7daf8f47, 0x17d18114, 0x47e70675, 0xbf469f72, 0x6d361503, 0xcc14ec51, 0x173216c1,
+    0x3f93973c, 0x669894fb, 0x4e28ba19, 0x11449f4c, 0xf27d82d9, 0x4efe62db, 0x5886bd4b, 0x0f5dcf47,
+    0x7ebc5665, 0x4308ca77, 0x32622409, 0xe10f166f, 0xa908f43a, 0x417d4d16, 0x0c8868f8, 0xadcd14b1,
+    0xdeb45b90, 0x2459c72c, 0xa89027b6, 0x437448f7, 0x0b5f4737, 0x70739668, 0x3e649dcb, 0x0fcf46aa,
+    0xa804eadc, 0xc5c59252, 0x4036f2db, 0x574cb37f, 0x4e8bdfaf, 0x79748272, 0x33f3fe8a, 0x5e22edd9,
+    0x50795913, 0x4c851496, 0xc7f37bc2, 0x7d4d7f1c, 0xbef2f6fe, 0xaf78b19f, 0xcf8a4f80, 0x58795de0,
+    0xdf1fb8da, 0x8f50ab4a, 0xe81036f3, 0x76b68ef2, 0x4017d877, 0xede59a4c, 0xb6e317d2, 0x5406d095,
+    0xe8548360, 0x7b48aee8, 0x93deb1d8, 0x463bca80, 0x7c256688, 0x52b16dfe, 0x262f4c21, 0xd9a99426,
+    0x450fc174, 0x84074332, 0x501c52a2, 0xe977aaad, 0x6b908ea7, 0x7ea23fcd, 0x47437d29, 0x3fff2cdb,
+    0x44c919ec, 0x01a12749, 0xe58e80e7, 0xfcdb8b4d, 0x474d3a72, 0xfe3647c7, 0x78f62d5c, 0x29d5c506,
+    0xacf0fdf1, 0x5b02a905, 0x004ff62e, 0x8d0d8291, 0x0e9f5a65, 0x244f33ba, 0x0822ab34, 0x2cb7cd7a,
+    0x7440b1ed, 0xfca226be, 0xa8e0be9e, 0xc702d331, 0x8a40aff6, 0x88733176, 0xaf12ec49, 0x1f74cf91,
+    0x9545d704, 0x5e7afe0d, 0xe3fc87a5, 0x66049e19, 0x541f3f1b, 0x14f22ff6, 0x5a14fb26, 0xb46cd4a8,
+    0xf92e1579, 0x5cf6867a, 0xdeaddb5d, 0x2d00f499, 0xb14f3285, 0x6eb12644, 0x325b4429, 0x2a2c633a,
+    0x6f49dc90, 0x8d264b17, 0xe61cfb81, 0x0efc1485, 0x0f6bbc98, 0x5f5dfee3, 0xad4d55df, 0x0f375dc1,
+    0x8099762f, 0x270f7688, 0xd1c37cd1, 0x836f2c6f, 0xd2d6bcd2, 0xf63371d1, 0x8be9dece, 0x40a61769,
+    0xf14fba8d, 0x9124d80b, 0xa7afaecf, 0x3c4f08f5, 0x1d20c9ef, 0xf3093fb0, 0xc61a0bd7, 0x095daf5c,
+    0x15907e21, 0xef23b846, 0x8f1e759b, 0x0330397a, 0x77b6283c, 0xa6db1c93, 0x4dcbc724, 0x9b53be65,
+    0xc4fa1449, 0x1dbb5128, 0xbb4ddf78, 0xe4d483ca, 0x0ca1cc49, 0x6646e63d, 0xed3c8913, 0xc1e71ae6,
+    0x1fcfa9aa, 0x41dc5422, 0xf613c693, 0x1f3eb5d7, 0x017ca68d, 0x4681d1ce, 0x4f4eb396, 0xdd19d2ef,
+    0x3f119f18, 0xecb1978a, 0x20ca56aa, 0xc044d260, 0x7528a1f7, 0x139c1395, 0x8957a925, 0xaf4c5b05,
+    0x223ebe77, 0xd7fb6dad, 0xc7ed3390, 0x2837803b, 0x551c1f00, 0x7febf7be, 0x5f2f9f63, 0x7cc6f9c7,
+    0x574b720e, 0x25face2f, 0x6a3bc91e, 0x94fb2cbf, 0xcd95ffb9, 0x2ccf9ca8, 0xebfc797f, 0x6de72eda,
+    0x88671825, 0x0bfba60e, 0xa242529b, 0xc879ef3c, 0xe40076a9, 0x820f114c, 0xb5be4d6e, 0x30fe9835,
+    0xb03ad169, 0xeda3a140, 0x63a4bd7c, 0xe54e93da, 0x0e8ac936, 0x4229775c, 0x3285ad26, 0x8bd3f98e,
+    0x16582f03, 0x49574735, 0x00557f44, 0xd3a9887a, 0xb0813f8f, 0x09a3ac51, 0xa17e7ae9, 0x184dfc3e,
+    0xb80fc116, 0x055b545e, 0xfc3574cb, 0x21a7ccea, 0x22d95fe4, 0xe6d43e04, 0xea057845, 0xb5f906eb,
+    0xc1cf5857, 0x6c36a5d7, 0x6e74fcae, 0x8c56ec16, 0xf8999e79, 0x2ff9ac4d, 0xaed519e1, 0x0ccba52f,
+    0xc5c3050d, 0x9316f442, 0x2d8ac3a5, 0x4f755f7a, 0xf9f7d410, 0x61e02d07, 0xfe3a259c, 0x2897fe93,
+    0x83c79436, 0x95684d78, 0xdf0b55cc, 0xcee1a3e1, 0xde88f6a5, 0x1c48dfb6, 0x731fc875, 0x8ca86a91,
+    0x4775d10e, 0x6f7fb557, 0x9c59b46c, 0x8ad2261e, 0xa5d3fd34, 0x54f5b8ec, 0x355a6c05, 0x4b445e66,
+    0x7118abcf, 0x90fd0899, 0x161ce4d7, 0xf1f4776b, 0x92032a87, 0x55cf7a60, 0x6405b5d1, 0x78735d37,
+    0x3d3ea9c3, 0xcb663f1e, 0xa94dd77b, 0x77180bf5, 0x935f91be, 0x06f1c8b6, 0xda317a47, 0xdc256c08,
+    0x19c0b9c5, 0xd9504000, 0x73aae302, 0xd1a61476, 0xa002aaaf, 0x56b7e961, 0x7723c031, 0xaca1ee53,
+    0x02b2ee4b, 0xa0999741, 0x0d163098, 0x72b935ec, 0xba85cd60, 0x7ea906de, 0x6c5fbaf1, 0x345543bf,
+    0x363586cc, 0x8b4c2880, 0x6606d288, 0x3d276b41, 0xb2b7fd17, 0x8c2a66eb, 0x50925a19, 0x9042fc74,
+    0x1602380f, 0x9a087022, 0x71aa3512, 0x0dcfe8e8, 0xc1dc31ff, 0xf69d37b3, 0xdff83678, 0x2627d449,
+    0x1d93a4fc, 0x3266f1d2, 0x4975f1d6, 0x49f711bd, 0x858c541b, 0x0f2d583c, 0x11043252, 0xfd04b0e2,
+    0xeb19cc2d, 0xd95c4135, 0xcedf6374, 0xcbeb7f3a, 0x76ea6698, 0xdd3041c0, 0x8e7de408, 0xe1c2274f,
+    0xa59fafc6, 0xfb5951cc, 0xa1431dcd, 0x1abeb66b, 0x5d0feb18, 0x9cb4f8c6, 0x3fc6f9fe, 0x5d1f9a42,
+    0x45be97d3, 0xdc2c2c41, 0xd4f57510, 0x8da52ade, 0xb955412b, 0x3663697e, 0x6611f370, 0x57680ba0,
+    0x69fc983c, 0xc825e442, 0x51f2cdb4, 0x8540afd6, 0xe32b9f57, 0xc881ce1a, 0x84aecaea, 0xdd03b77e,
+    0xe308cce1, 0xad71b582, 0x707d86cd, 0x6d44fb44, 0x7f407361, 0xb2a974ac, 0x8edc0441, 0x415b7c89,
+    0x7d607771, 0x7f5e8856, 0x07fe859f, 0xc2d1274a, 0x114e8127, 0x10f7afee, 0xefe656f8, 0x92a8839a,
+    0x27efe3e1, 0x3685fb34, 0x7330c038, 0x5e689f13, 0xe74be0ac, 0x05423b67, 0xc2f56a3d, 0x8a2abd0e,
+    0x51acfa57, 0x1b50f6a4, 0xcd5a4232, 0x2dfa5d7d, 0xff03fa24, 0x967ad27e, 0x5b4bff45, 0x64d8b81c,
+    0x35363417, 0x8277c86a, 0x56545ee3, 0x88449cc9, 0x579d984e, 0x2e176857, 0xdb313843, 0x9ea654f6,
+    0x5e0f50ed, 0xc9b61b2e, 0x157e4223, 0xa7fbc7ee, 0xaa898350, 0xf74e91de, 0x50dcc022, 0x0a8c4ae1,
+    0xd819283c, 0x699d3c23, 0x9bb4ae28, 0x35d68d22, 0x94af3c2d, 0xcc930f16, 0xd6622238, 0x00e6db8b,
+    0xbdf37563, 0x71ee01c0, 0x86fb1b68, 0x5723e3d5, 0x7570cbf3, 0x5c899079, 0x10e726d4, 0xffeda54f,
+    0x1501944e, 0x1a931377, 0x9e6c0296, 0x679951eb, 0x23b9fcff, 0x335f263c, 0x58a3024a, 0x7963a993,
+    0x994f33cf, 0xe0d6df96, 0xbbbd429d, 0x90f44a89, 0x0a0edbd4, 0xcc509ecf, 0x573f3423, 0x89a2e9ab,
+    0x4d17a81e, 0x623467d1, 0x13c7c838, 0xbb77c6e4, 0xeeb33914, 0xd1377e88, 0x4c9ea8d1, 0x2d664506,
+    0x4d046f8e, 0x85fb2dd4, 0x5c35ab0b, 0x988d1a57, 0x1f269a93, 0x2f2e8896, 0x64e10095, 0xe8bc5b03,
+    0x6ba7050d, 0xaca4e9f9, 0x4b5a98e0, 0xe7e77e65, 0x5ad8636f, 0x04ace32c, 0x31e96352, 0x86509703,
+    0x48c93d60, 0x64a05fa3, 0x13a9e7c1, 0x149affb1, 0x72ca8e14, 0x1f4307b5, 0xdc7f696b, 0x7bcec2ac,
+    0x3f21f3f9, 0xa2dd4a61, 0x4e890347, 0xad349990, 0xec10a543, 0x843203b9, 0xb24ac145, 0x83ea3342,
+    0x9ca2822d, 0x225b8518, 0x17d53cc2, 0x900e8cbd, 0x800f1524, 0x6bdddb6e, 0x171b6589, 0x80a64889,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000011198723710889021052787211\
+                          40284222139060822748617324767449994550481895935590080472690438746635803557888 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40,
+    0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d187, 0xa62f99af, 0x021622ae, 0x0c5c1db3,
+    0x00000000,
+    0x87983dbe, 0x0d608ae2, 0x2ca2e676, 0xe7a18213, 0x8b17dffc, 0x8b76f24a, 0x66bcb53b, 0xc9e64d09,
+    0xf93ddcb6, 0x8d57dfa2, 0xaa85698c, 0x3d91b568, 0xad532856, 0x3ff45ebf, 0x3f9b3a4b, 0x2b6adceb,
+    0xadc5cad1, 0xd49e54c9, 0x3011d8b1, 0x9627766d, 0xc957bc60, 0x2727f99a, 0x3a0d28be, 0x31a9dc5f,
+    0x5e3ed801, 0x427cc64e, 0x04c2bd19, 0xa25703fb, 0x2569b4f4, 0x6ecb9296, 0x3b06bfc3, 0x05920b57,
+    0x57ba5d5c, 0x46f3558c, 0x37ddb4c2, 0x43a60e3e, 0xa58f20eb, 0x3c08bdad, 0xd7472f92, 0xe9ec7377,
+    0xe92d1aff, 0xfa71d4ac, 0x7c0601f3, 0x34ccfa7c, 0x465c43ce, 0xe2aae78e, 0x06efd7b3, 0x8f80e587,
+    0x1d6c2dfc, 0x06be1361, 0xee122337, 0x646d0c80, 0xbc85b3f6, 0x51211776, 0x2aad58a1, 0xd80a89e2,
+    0xec8b38ff, 0xb8704960, 0x538ee6eb, 0x05704fdb, 0x0e3e48e1, 0x14cb4c0c, 0xc8349dda, 0xf0f202db,
+    0xcc5ecf08, 0x9115889c, 0xe01533d9, 0xb8d3f64d, 0x4c0098cb, 0xb7b60011, 0x0bf19465, 0xa88fa60e,
+    0x6239adc6, 0xc3c83245, 0x4d9d304b, 0x95cf650a, 0xf1e6e660, 0x98b5abbc, 0xdd553cd3, 0xa7d50284,
+    0x529d0476, 0x9ff6d5cf, 0x86c040e4, 0xd88a0b24, 0xd025bfa0, 0x4b00e893, 0x510ccef3, 0x6bae669a,
+    0x02f2d905, 0xb610aaa5, 0xdc7dcd1f, 0x43fc1910, 0xd4e09a7c, 0x4c917cac, 0xa43deb61, 0x7c1d607a,
+    0xe5d02a92, 0x76b3250e, 0x37dbc695, 0x3001425e, 0x72882cbb, 0xd12b8910, 0x7f2a527e, 0x1212958b,
+    0x43ed21fe, 0x60ddd178, 0x2c06bf90, 0xce091752, 0x32a27a42, 0x31e350b6, 0x82457329, 0xa54da3f0,
+    0x510bc0c3, 0xced96573, 0xe944ed2e, 0x967f282e, 0xea5f550a, 0x6052560b, 0x273bfcb4, 0xff64d590,
+    0xf7050f6d, 0xdb870254, 0xb5ee97aa, 0x350164a8, 0x13c6ec76, 0xd6405811, 0xba5b7b48, 0xbedbada2,
+    0x1e204f74, 0x48a939ce, 0x7e9ace99, 0x4834b370, 0x9413ae62, 0x61e179bc, 0xd9101baf, 0xc9c26648,
+    0xe6d3d3ef, 0x99fe65c8, 0x9f10f722, 0x2d2d9a8f, 0x281805f3, 0xddfdd5ba, 0xa7b56a67, 0x293a53bf,
+    0xf05bdee9, 0x089f685b, 0x09254e0b, 0xa627f398, 0x80477aa5, 0x8911bd2d, 0xc8ea2e4d, 0x6433603c,
+    0xf766474b, 0x07f7a7f4, 0x1cdb68ec, 0x370d5802, 0x77f6dd62, 0xff089c49, 0x4e4a8ec8, 0x34d48181,
+    0x15960fe4, 0x434d8bf3, 0x3cec251b, 0x5f876823, 0xd89d79b4, 0x74cad872, 0xb4cea8d8, 0x0eef5fec,
+    0xc24750c5, 0x60dc51d2, 0xc03e1424, 0xfed1c719, 0xc5279608, 0xd3137597, 0x1e01623c, 0x0ff699d4,
+    0xeb120bd9, 0x79ac9c4f, 0xefaa3005, 0xfdc3faba, 0x5f95eefc, 0x40103e84, 0x43ee6a4d, 0xcda33300,
+    0x21864902, 0x2c8db5dc, 0x8e02bd6f, 0x40cbb989, 0xd0724b7d, 0xe7541428, 0x08c4731a, 0xa6752b3e,
+    0x04a42917, 0x5dfbdbb0, 0xd86a4189, 0x860e47a6, 0x54c0a894, 0x58adc3f8, 0xfd0acb0c, 0x55aa6299,
+    0x0585d125, 0x7087345f, 0xd5ccaa94, 0x6aebb1e5, 0xc88629a1, 0x7ba33da5, 0xd6e0863f, 0x31f2523a,
+    0x14ad2a57, 0x72bd1d48, 0x7f509669, 0xf4e4b84c, 0xb5f4f5f0, 0x95cead30, 0x674818ec, 0x80ed95d0,
+    0x7eefcf9a, 0xcff5a5c6, 0x663b4920, 0x324d85de, 0xc0a72043, 0x7c50e740, 0x3650a378, 0x71b47cfa,
+    0xf5381a87, 0x6f407d36, 0xb45b3dbd, 0x22da5517, 0x31560646, 0xd4e9e8df, 0x58d6e2b4, 0x32cc82c0,
+    0x595b323a, 0xb7c5615e, 0xabdfeddb, 0x66d0a32f, 0xceda5e1a, 0xed57fb60, 0xa3cbee1f, 0x5db34258,
+    0x4c3c5135, 0x5d6ac6c1, 0xe6a98428, 0x848255a7, 0x493ce215, 0x830f12a3, 0xa61be731, 0xbe74243e,
+    0x7a080a3e, 0x30a2a454, 0x2730c639, 0x566e5afd, 0x8f5f7003, 0x51529c35, 0x8daec053, 0x323036f6,
+    0xb0d4e884, 0x1394eba5, 0x5548933a, 0xc2c78900, 0x1c09a30c, 0xabb92d98, 0x831e9200, 0x5a026804,
+    0x46564da3, 0xec680e7a, 0xc929244b, 0x36a3c592, 0xf475b213, 0xc95ba961, 0x028fd684, 0x0ec3b1d9,
+    0x1f3c5036, 0x501e9f2d, 0x90556752, 0x272b6e8a, 0xf9229611, 0xe6ad4c03, 0x00372e65, 0x9db95e67,
+    0x9cc9dd4c, 0xec7f568a, 0x1b8849fd, 0x22086890, 0xe6927b52, 0x92bbf5b1, 0xd3424a4a, 0x7c6b88ea,
+    0xf217202c, 0xb112ba13, 0xa8a481dc, 0x4c09cd1a, 0x5b1a8845, 0x71c92df3, 0xe87b473c, 0xa4122ec9,
+    0xba3a390d, 0xb9f2f098, 0x799a16ed, 0x9e201c1a, 0xf3247766, 0x1abb97fc, 0xe317ef86, 0x5ee86395,
+    0x05fa44f1, 0xe76dc233, 0x19a306bc, 0x90a3e493, 0xc4a6b0ba, 0x862169e2, 0xa3404b8c, 0x28d953e3,
+    0x8770e19f, 0x0e301aa9, 0x668ba3e2, 0x4b63db6a, 0x7e327c84, 0x4045b225, 0xb1ed427d, 0x35cbbd0b,
+    0x7cf7ad42, 0x908fea7e, 0x7e8c6e6b, 0x3559ee5d, 0x27204404, 0xc5d8f25f, 0x4160eee7, 0x4d4f43ea,
+    0x94c20d7b, 0x50c5ebc5, 0x86e8c137, 0xb168c60d, 0x49f46104, 0x50e1b53b, 0x47894df6, 0x5b6cdb37,
+    0x6a275004, 0xe700af86, 0xadf62801, 0x8f550305, 0xd72f6481, 0x74e5a0e1, 0xaca5d523, 0xe0967dae,
+    0xca24a2ae, 0xae606f1e, 0x5b61ed6d, 0xff87a025, 0x19f23fab, 0x5f2d6971, 0x563cd72c, 0xab0d90d8,
+    0x04fcde48, 0x35316eb9, 0x6b5887d0, 0xf8efaa93, 0xb84cdc29, 0x59ca5d86, 0x159ba7a0, 0xdc0be638,
+    0xb2b299fc, 0x3ed5d9d3, 0xf8d927b4, 0x5ebb869d, 0x7fe6d435, 0x420b6a4a, 0x9e13dd0a, 0x3ea9d82d,
+    0x21608db8, 0x042884c9, 0xf3c6fadd, 0x90f36cf3, 0xa088a9d7, 0x56045af0, 0x0fc05839, 0x0793cf77,
+    0x97919a8b, 0x945445bb, 0x4bbe3017, 0x24d1b835, 0xf6d233c9, 0x277aafac, 0x99f42b57, 0x233be52f,
+    0x46ce7447, 0xc83d4e1d, 0x21f06266, 0xce0ecff0, 0xfc61037a, 0x60ea070b, 0xa4e877b9, 0xb2978a3b,
+    0x070ba05a, 0xc2d40925, 0x5978b7fb, 0x6e9d5d1b, 0x3f2c3a39, 0xb5b23cbc, 0xa625b8ae, 0x85af8525,
+    0xe753a3b9, 0x5cdd922e, 0x5823052b, 0x212ddcbc, 0x59fb71be, 0x10290ece, 0xb9eaea82, 0xd4d1257e,
+    0x01856d12, 0x35bcb8b0, 0xfc1c1e62, 0x13de579a, 0x29e4bf79, 0x840b4661, 0x0af65097, 0xf114e0b8,
+    0xee53118e, 0xb28f4272, 0x36585680, 0x796d2c2c, 0xf0910edb, 0x93c371fa, 0x08659d83, 0x345272a4,
+    0x24e12085, 0x74459813, 0x9c1c624f, 0x5ac8017e, 0xb0720a32, 0x9286c513, 0xc12766af, 0x3793d8aa,
+    0xae1f65ca, 0x907320a2, 0x2fd73c59, 0x4837590d, 0xe07b8f37, 0x0744e871, 0x758c668a, 0x7a280977,
+    0x47a2a2f1, 0x580e712e, 0x7afcb740, 0x7efd1a96, 0xa11ceffa, 0x5b6af1d2, 0xa44e0db8, 0x2328732d,
+    0xe88816ee, 0xa7e441c8, 0xed196fd2, 0xb6e8b131, 0xe39ffe12, 0x2c3ac843, 0x00a4490d, 0x5e1360db,
+    0xb7338494, 0x8234c8e7, 0x1e8e909d, 0x660cdda3, 0x05b66400, 0x56e589a6, 0xc9b56d2c, 0x71efd1fc,
+    0x9e04e930, 0x57ae9a93, 0xf6133a10, 0x8ee38dd6, 0x98df92c5, 0xabfe73f0, 0xc27122e4, 0x248b4fdf,
+    0x366c61c8, 0x95fa3543, 0xed71f96b, 0xe87e2e9f, 0xe48a9fe8, 0x6f03cbea, 0x2dffe3dc, 0x4ea56a8e,
+    0x29487e50, 0x99623c9b, 0x75eb5ef2, 0x15a26ddb, 0xffe87ae7, 0x75e937d3, 0x601d9256, 0x05fdb995,
+    0x05bcd2b0, 0xcbfea936, 0xbb04636b, 0x41825ee5, 0xb4bfd0eb, 0xd766f90c, 0x19e2939c, 0x56d1a294,
+    0x14b358b2, 0x5f87f391, 0x1236f97d, 0x107218c8, 0x6524eb1c, 0x7370fc95, 0xf16f202a, 0x4fa9cd5f,
+    0xffbc3a28, 0x53f36461, 0xbe76e6f6, 0x25f26248, 0x99113ad9, 0x2d4c93a3, 0x0f2b0435, 0x5f761559,
+    0x91cc0a4a, 0x86988444, 0x1fc3d415, 0x18a83040, 0x9f965bb1, 0xf6935a84, 0xa0f0afd4, 0x8e3088a8,
+    0xe6f7a702, 0x3121794e, 0xb6170869, 0xce47690b, 0x88bf1d94, 0x67b8b58a, 0x19ff8c38, 0x158c7a7d,
+    0x7a10a8fb, 0x90ece635, 0xf4895968, 0x42cb87df, 0xc917f968, 0xb43083fa, 0x41c51d75, 0x56a4f065,
+    0xdb7281c8, 0x26c5515b, 0xded13907, 0x1c7a086b, 0x7f91fd4f, 0xcae98ac8, 0x6d1b6525, 0x8ce2c162,
+    0x73bdacfa, 0x1e45c712, 0xc4cb19d0, 0xcae244f8, 0x053511b9, 0x9c2ea160, 0x9d8a9a51, 0xa7753a18,
+    0xfde2ac49, 0x51746315, 0x7343c30c, 0x4f0111f0, 0x3b6c7909, 0x09271b8a, 0x43a491d5, 0xa6fdbaea,
+    0x8531e5b4, 0x05453bd2, 0x0d94f76f, 0xde26e80e, 0x47be3810, 0x2902e423, 0x7ce8764a, 0x8ada0dc1,
+    0x9f8f911e, 0x74018671, 0xacac60b7, 0xb6905899, 0x7f370f08, 0xad2163ae, 0x681e6d01, 0x8defc143,
+    0xbc185974, 0xcd8260cc, 0xeda81129, 0x1d214187, 0x29bc702f, 0x142c72ff, 0x96eb0954, 0x32a85c2c,
+    0x93a269ee, 0xef30b989, 0x35bb0ca3, 0x50ed0fa8, 0x1175789c, 0xf5715def, 0x5721b090, 0x9e0a92e7,
+    0x7842c8e7, 0x9bd1d1bb, 0x41f720c4, 0x20ad1fc4, 0xf949c180, 0x2e873349, 0x7b9d7a94, 0x1b7dc69f,
+    0x48a58e6f, 0x1a9b0cd1, 0xaac996ac, 0xda79a6b2, 0xa1dcc0de, 0x68e421a0, 0xc71ccde5, 0xf3152a98,
+    0xc96c456b, 0x805e9ad9, 0xe0cfff1a, 0x005c6817, 0x7c1af7e3, 0x5ab7824b, 0x9f8328e2, 0x51576a38,
+    0x245bc735, 0x1e7ae426, 0x7cd6c729, 0xde34c200, 0xf6eee4b1, 0x074607a5, 0xe59296e1, 0xf24ef2c5,
+    0x8bdf12bd, 0x52585359, 0xcf752161, 0x80570eb0, 0xd900dfed, 0xd3351be3, 0x4a371548, 0x78669015,
+    0x7bb84db8, 0xc43ae91f, 0x7923c457, 0x3a8afc22, 0xc9783756, 0xe279c0ad, 0x4bdf1a8d, 0x7a94b814,
+    0x511cbcf3, 0x8047710d, 0xdcc796bb, 0x073fd948, 0x0b08b866, 0x2bdf763d, 0x9c6c1332, 0x233c0921,
+    0x3fd409d8, 0x50df4524, 0x1d8f6e1d, 0x1004db7b, 0x02e0d764, 0x63e3b3ac, 0xd38eca72, 0xf255fbdf,
+    0x93170401, 0x7551e25e, 0xf2815f6f, 0xb46623a6, 0x81ba687d, 0xf97a1bee, 0x0ab5b721, 0xd217db8f,
+    0x63791d65, 0x1952be22, 0x2fbd3784, 0xc9d84dd0, 0xf6e75878, 0xca360580, 0x5e0a0ab7, 0xd9bdc9fa,
+    0x47ffdf40, 0xab785690, 0x3db5782b, 0x8031ca5e, 0x607a519a, 0x65dee811, 0x01357f75, 0x26542dfb,
+    0x2d53bf74, 0xf0261db7, 0x7658278c, 0xaf618c3b, 0xd4f3145e, 0xd42d9178, 0xb4138dc7, 0xd81d350b,
+    0x33db6744, 0x0d71aeb0, 0x43f293ab, 0x3cf06182, 0xcb3660c2, 0x705299f2, 0xf1240841, 0x94493ce4,
+    0xc7b09860, 0x3e0b4e20, 0x089ae319, 0xa3208fa7, 0xb6529b62, 0xc2f71bc0, 0x19239b59, 0x3f8e1667,
+    0x521ec466, 0x493826e7, 0xeaa410b0, 0xf91be8fc, 0x26eb8d60, 0x2aa330ce, 0x4c5958dc, 0xb972d5e5,
+    0x63f87141, 0xebe93ac8, 0x947090af, 0x1c3aaa79, 0x8864ac7f, 0x58f59218, 0x598f561b, 0xd7dd1705,
+    0xbf33c7a3, 0x51edbff9, 0x6496cc81, 0x6c171332, 0xa3cf46f7, 0x6ae793f9, 0x9ce11d16, 0x41a812f9,
+    0x4f120014, 0xab92ae30, 0x14547ecc, 0x49a63aec, 0x68fa0a05, 0xf904fcdd, 0xfb4c56b6, 0xc793b418,
+    0xa21e1a80, 0x00ebab8d, 0xed8e37c8, 0x02c64ca8, 0xfbb70e64, 0xe4567832, 0x8a376f54, 0x2dc248db,
+    0x126504de, 0x64b1f28f, 0xd944fcd3, 0xdb77f63a, 0x1f4238b3, 0x5f0b20be, 0x4f37f7b4, 0x6fde88bf,
+    0xa4d1789b, 0xb0410b53, 0xd360f076, 0x1c76a58c, 0xeda40923, 0xe31ee62f, 0xa58dd95a, 0x5e252450,
+    0xb98c4a8e, 0x97a0cce6, 0xda2200a7, 0x3b7401f9, 0xacc5724c, 0x7a3c2817, 0xf8bd22ac, 0x6e408410,
+    0x36571556, 0xd7a34e29, 0x7455748f, 0x901329b1, 0x90230e39, 0xe5d2bd41, 0x3aa81443, 0x783954c1,
+    0xeed244f5, 0x6193385d, 0x5caac10e, 0x69d4bd1a, 0x84a47b3d, 0x9eec3cd5, 0xe610d280, 0xe44347d1,
+    0xe851e4f3, 0x2371e86f, 0x00c9b125, 0x570f5ce4, 0xce4dc17d, 0xef14bb2d, 0xc738521f, 0x97f4e421,
+    0x48767e4e, 0x992a79ac, 0xa80dde87, 0xd3453680, 0x638073e4, 0xc2a25c6f, 0x65220947, 0x64e836d7,
+    0x45efe3ae, 0x443f0432, 0x53264fa0, 0xf44c3cea, 0xe6449c82, 0xfd8ee5f0, 0x95bff926, 0x7f40991e,
+    0x819df90a, 0x6816e94e, 0xd77b1a7a, 0x048c4006, 0x30cd2305, 0x313bdedf, 0x91130073, 0x269ec7e3,
+    0xb5e7d0f8, 0x72281389, 0x82a38062, 0x78c99d3b, 0x4bb09669, 0xa040ea6f, 0x253fdec4, 0xaf142f9f,
+    0x6258a7c3, 0xb7b8b636, 0xb8ca4d4a, 0x5c09a599, 0xb4273719, 0xfda2a769, 0x796ba370, 0x7422f1cc,
+    0xaa9767d2, 0x1d2f01f7, 0x42b9f544, 0xc9e69bf6, 0xc21e1838, 0xd12d7c59, 0x92f09f48, 0x10caab46,
+    0x98acec16, 0x347bda73, 0xa1fa09da, 0x588948c8, 0x828a4e1f, 0x28f0e4ce, 0x80033531, 0x133f0f56,
+    0x1641d00c, 0x1f8e93b4, 0x8d4cc1c9, 0x437576d5, 0xd36dba77, 0xb2de2e75, 0x409fc042, 0xde05f6fc,
+    0xf8fdd13f, 0x5246e5cb, 0x2d4296a9, 0xe7fbd418, 0xb18a53d6, 0x9b5cd733, 0xf37467a2, 0xb0ee3a44,
+    0x90b202fc, 0x53734800, 0x6f394e5a, 0x7a00ff75, 0x6695b1cc, 0xce83d471, 0x654d2a69, 0xc4f402a2,
+    0x4cd1aca1, 0x5ff0a296, 0x2329c224, 0x82f70ed4, 0x3ee397eb, 0x10db7657, 0x56ede738, 0x4cd0a488,
+    0xcbbc95f6, 0x27bf5a97, 0x29ab867c, 0x7397009e, 0x44194320, 0xcf15f03c, 0x56cf2028, 0xa7aeefec,
+    0xf0f9aabc, 0x03da75ca, 0x5d0514b8, 0x738f5faf, 0x4f773294, 0x8dc8236f, 0xa4c877e4, 0x72431464,
+    0xae758219, 0x06944b75, 0x2489a4ab, 0xaf95dedb, 0x3234cfb3, 0x949747bb, 0x4ddb7653, 0x1f501ec0,
+    0x2bda7695, 0x832a5d0d, 0x96dcced2, 0x32f82bbe, 0x66c5cf34, 0xbced2ee5, 0x492862f1, 0x873cd09b,
+    0x68e6d530, 0x5efdf8c7, 0xa62471a1, 0xf89da3e9, 0x09c42634, 0x7c7c3bbf, 0xb2986b2a, 0xb1397191,
+    0xd104994f, 0xa84d73e5, 0x40ffd189, 0xfa73ebe4, 0x1d8374f8, 0x510de43d, 0x6d637a98, 0xfd3802ea,
+    0x816263c5, 0xabd58214, 0x24698140, 0xba9ceec6, 0x230473a1, 0xf582705b, 0xc2bb9333, 0x6c60f335,
+    0x97fb6f8a, 0x85a86a75, 0xa80f4b1f, 0xb17dde7b, 0x20a36ee6, 0xd9b5eecc, 0x967f1550, 0x2c1119ff,
+    0xb5924c44, 0xe53870df, 0xb4158774, 0xb6df71aa, 0x3b6b433f, 0x70932e6a, 0x8091280f, 0xe880ef48,
+    0x5d7277ec, 0x0df5afce, 0xd95733b9, 0xa8fc2980, 0x50e0ff6c, 0x595f656c, 0xb16c9bb3, 0xc8f3b318,
+    0x5b99bcf9, 0x350b2023, 0xcd37b1ba, 0x8880e61e, 0xab8edfea, 0x5d7a8811, 0x31281daf, 0x3b606110,
+    0xb6347707, 0x4604911b, 0x07bd9f10, 0x63d00b72, 0x99e66547, 0x049c5091, 0xe1deaf9f, 0xd8098646,
+    0x4bf18f2c, 0x2d5311d9, 0xd83e7fd5, 0xd50dcfa7, 0xf478667b, 0x7744f4f4, 0xbcdf051d, 0x3a87be98,
+    0x19536ce7, 0x99673e10, 0x74d3e09b, 0x94928f57, 0x3b1af345, 0xa773c6ed, 0x316451c6, 0xbdb11a8c,
+    0x6dcc325d, 0x7ab6557c, 0xb257bbda, 0x20df7680, 0xb2fe24cf, 0x7371aceb, 0xf034f412, 0xa4ba09aa,
+    0x1d60029e, 0x17d07965, 0xaf0b9849, 0xb10b379b, 0x0e6c2ecd, 0x30bfbda2, 0x0af9ca80, 0x0c462fc1,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000005599361855444510526393605\
+                          70142111069530411374308662383724997275240947967795040236345219373317901778944 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0,
+    0x48059281, 0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c3, 0xd317ccd7, 0x810b1157, 0x062e0ed9,
+    0x00000000,
+    0x83be1d01, 0xe91a366e, 0x1f54da6f, 0x91aa18a7, 0x612cdd1a, 0xca6e6803, 0xf1e594bb, 0x588ff753,
+    0x7b7f2b40, 0x8211cf79, 0x6fc01658, 0x532662d2, 0x64cb36c7, 0x6d367e26, 0x989797d7, 0x809bbca9,
+    0xb6aa413b, 0xf1a9436a, 0x1220fd12, 0x94cb3880, 0x2ae12a1e, 0x2dca6c79, 0x874b6728, 0x62ccf1c2,
+    0x261c06e3, 0x49d98f50, 0x8d5abab5, 0x24cc0e08, 0x9a2b2a50, 0x3b8213aa, 0x92972280, 0xe86a270b,
+    0x568108d8, 0xc797283e, 0x3c0cb3dd, 0xc151d80a, 0x8503279a, 0x5a4d2b73, 0x971dd958, 0xafb38570,
+    0x031c0a69, 0x536330ce, 0x305fcf7c, 0x27cabee5, 0x84e6a695, 0x512ec22b, 0x4b7f67f8, 0x3101f636,
+    0x6a48901e, 0x6d598002, 0x0800da9c, 0xc657949d, 0x3291e01c, 0xa32a75ae, 0x69ef43b8, 0x713d1f9f,
+    0xce266ce2, 0xe6a9b790, 0x9cf563ea, 0x5290c6ae, 0x7bdffa2c, 0x9ca6b9d0, 0xd0cc75b9, 0x82e5ab89,
+    0xfadc6dbe, 0x9d142e12, 0xde41c672, 0xdea3fdfa, 0x4980edbc, 0x455395e7, 0x4fa0c6e4, 0x6f91c670,
+    0x27746c41, 0x621982fe, 0xb3c20117, 0x92644170, 0x5d797802, 0xb715554f, 0x759fef1e, 0x6497f3cb,
+    0x657cfcf1, 0x23aa9b35, 0xc93a7e9f, 0x1a14a20b, 0x754b0eec, 0xf1aceda0, 0xb8aca329, 0x4e2d7792,
+    0x6d530024, 0xaa54f1e4, 0x98b3088c, 0x9e852922, 0x76ee02c2, 0x9d4612a1, 0xa9d7df0b, 0x2973186e,
+    0xbb3083a7, 0x1b114ae9, 0xa4c8d080, 0x7e7f10d2, 0xa9687f14, 0x376758e7, 0x60ebbeab, 0xcabedf4d,
+    0xb367c0e7, 0xd5213d57, 0x17ff0ec5, 0xd53a2f6a, 0xdc65451d, 0x238ff0df, 0x2bac6a60, 0x4deeb4e1,
+    0x27cb5763, 0x004d33ac, 0x5efacc9a, 0x30b6f3f7, 0xad66dd03, 0x8ef13c31, 0xb21b0d98, 0xec49de4d,
+    0x2128cd5e, 0x2bed4316, 0xfb0cb1b4, 0x3bd3cb78, 0xeb985b5b, 0x6ca5e3a4, 0x85932127, 0xf0d27eab,
+    0x1c2e1117, 0x484d9a00, 0xfd8a958d, 0x7a291155, 0x52a6f4a7, 0x64c3b68a, 0x441aaa2d, 0x5ec62f85,
+    0x743893ac, 0xe3381980, 0x9ec2c394, 0xf6954e4f, 0x0414db45, 0x5a0ed1da, 0x229f57c2, 0x87417db1,
+    0x4cbb6f99, 0x24a0d2cb, 0x0bf67c23, 0x3c27b60d, 0x5575ac16, 0xd8ee2a84, 0x34d29639, 0xb523b9e7,
+    0xd2f3c5a1, 0x57756757, 0x366e1b19, 0x58e55ed9, 0x7b61f613, 0xd0b558c8, 0x34ea7573, 0x34aa233e,
+    0x38eef973, 0x640dd835, 0xc0d533ea, 0x48d0f80f, 0xd84261e5, 0xf1fcd80b, 0xc3d52f11, 0x6454c74a,
+    0x4112e715, 0x17c6480b, 0x44c31bde, 0x780ea557, 0x2a9060e6, 0x71041aea, 0x38ffcacb, 0xfac144ce,
+    0x58180c26, 0x32259992, 0xb0203fc6, 0xd77f7bcb, 0xc07157f8, 0x0155ed7f, 0x868ced8c, 0x7c2d8796,
+    0xe214ab55, 0x005c4555, 0x3bb0f87e, 0x5de9d444, 0xf0cff09a, 0x390c1cf5, 0xf550ac5e, 0x68db9f3d,
+    0x33e19ae6, 0x402fd746, 0xbc4be2f3, 0x48e2eb21, 0x56598540, 0xc4bcb9d3, 0x1ffa4880, 0x106cf9fd,
+    0xbb5ee18c, 0x4b85bc4f, 0x71fe6739, 0xc2d0c82c, 0xde1cd397, 0xe0db4463, 0x215e0449, 0x86117935,
+    0x793345a2, 0x577b47bd, 0xadd6169e, 0x36802646, 0x8ba05d62, 0x499d3e40, 0xa4547c54, 0x57613775,
+    0xbc33a4a4, 0x426fb702, 0x3420d474, 0x8f8059bf, 0x9d9f4583, 0x7b9e59b8, 0x7fbbc7b8, 0xfe9c8ff6,
+    0xc0af0670, 0xf8596087, 0xe6556e7f, 0x0abb5efb, 0xcb8eecf7, 0x31dad2fc, 0x2be13b20, 0x6ccb2228,
+    0x858d123e, 0xcaeab9d1, 0x0b1c22bb, 0xebddb3ce, 0x3606a728, 0xcd06b9aa, 0x04b5b0ca, 0x2d161ab9,
+    0x2f280fae, 0xf6c0b0a8, 0xec6de217, 0x40f7ef7e, 0x8d46b84a, 0x4b8a4de0, 0xcf60bca7, 0x6904c17e,
+    0xf79ae4ce, 0x50003611, 0xd274c76f, 0x26d94cc2, 0x15d4ba90, 0x4785d989, 0x978142cf, 0xe51e49c0,
+    0xfaaa9fcd, 0x0f327f5d, 0xbde7dd80, 0x9b387fe1, 0x2c51e42c, 0xaf6ed501, 0x2bdc61f1, 0x7213b1a7,
+    0x39d85cf6, 0x00142730, 0xeba69cca, 0xef97107c, 0xf2c14541, 0x4f050ba9, 0x1e46ae66, 0x8d1eb3ed,
+    0xeb67d96b, 0x2993cf1d, 0xe828333f, 0x201eadc4, 0x1cad8ef6, 0x798b863c, 0xab88d345, 0x395ec617,
+    0x7fbf6075, 0x731e5a63, 0x334cb80a, 0x98d2ccd8, 0x2487dcc8, 0x7d689749, 0x25eae10c, 0xa303cf0b,
+    0x7135d150, 0x71bfa084, 0xb25ae9c3, 0xd5f3064d, 0x13ab8392, 0x876138c1, 0xa59d1f18, 0xe8900acc,
+    0x0165e7d8, 0x44def181, 0x74d0e28a, 0x00ec4267, 0x4437c4aa, 0x04c6a4f7, 0xce8b6f97, 0x9a771e9b,
+    0x8779c612, 0x47418cb4, 0x6302c488, 0xe5a49122, 0x2437a278, 0x9b290faf, 0x4b55d5da, 0x120071fc,
+    0x5a5b34c2, 0xfb394aa4, 0xb06b89bc, 0x9684aac1, 0x5b286772, 0x74dd99c2, 0x44d70308, 0xcf2ea5a6,
+    0xebb976e0, 0x386009fc, 0x3a8228fe, 0xb98678d7, 0xd458570f, 0x5c87ccd3, 0x54a00738, 0x723a4352,
+    0x439ddd42, 0x6d1d78b6, 0xd1ec1c48, 0xbbe1c1d1, 0x56ddc527, 0xe271550e, 0xe22654de, 0xd1cc7dbf,
+    0x88308634, 0x1e01d5fb, 0xdbc72fa1, 0x3bf95934, 0x541d9b8d, 0x95f0e58a, 0xbd6f7ed9, 0xf5ae59f3,
+    0xf9e203d5, 0x3a0a06bf, 0x391536cc, 0x52ac76ad, 0xa937b23c, 0xed6798bc, 0x6581020a, 0xa74d005f,
+    0x29220654, 0x683442f9, 0xc0d3a96d, 0xbebe5c3c, 0x9f9e7359, 0xe6fba880, 0x13fcf42e, 0x72e05e4c,
+    0x0fb64fa6, 0x0ac6f8b3, 0xdc492933, 0x250f494c, 0xfa807672, 0x8865ffdd, 0x7b819ba6, 0x2aea9d6f,
+    0xba01a172, 0x95d7db36, 0xa249beaf, 0xd2329806, 0x70e64968, 0x78b8a52b, 0x59d736ec, 0xcadcc36a,
+    0xfc9bb585, 0xb30a2f44, 0x1a62b5a4, 0xb68957c6, 0x9cc75e6b, 0x99e97933, 0x9253663c, 0x367ff2cd,
+    0x92ab754e, 0x11b14269, 0xc1a47ef0, 0xbde9d081, 0x30bcfb76, 0x8b56da2c, 0x39e18ef7, 0x66fa18b1,
+    0x0975ae5f, 0x22f79c57, 0xe3fea5a5, 0xa30bb4c4, 0x55822241, 0xa75eed1d, 0x70c6aba0, 0x620be98b,
+    0x48a8addc, 0x968173ef, 0x79aa9e1e, 0x77448ee9, 0xd4f76551, 0x9c338bfc, 0x757e7b37, 0x2cb69c50,
+    0xa4a8c065, 0xfa402d79, 0x69c06559, 0x56c5de3c, 0xd331f02b, 0x1eadad61, 0x198492a5, 0xf946778b,
+    0x18aab3d0, 0x0f478074, 0xe68808fe, 0xd840e4fe, 0xe203f303, 0x62a15a48, 0x11a43cb3, 0x616d9b1a,
+    0x6073e02c, 0x42fc250c, 0xb6de4d15, 0xc69590d9, 0x1037c3a0, 0xbf763c56, 0x7a7d0353, 0xc7b4c1f6,
+    0x48d06128, 0x9ac4a572, 0xf32f8489, 0xf936f063, 0x64445309, 0x2f135ec9, 0xe82943ea, 0x621bae00,
+    0xfc8de00a, 0x6250ad4c, 0xaf15e674, 0x5c46b72d, 0x3115ff8d, 0x41ac8b55, 0x28e965e8, 0x2828a63b,
+    0x2c0a05a5, 0xb80e962e, 0x23898bd1, 0x5e111bb1, 0x4c26467f, 0x75bb8fc2, 0xd0898568, 0xb4af4c0c,
+    0xb8289d6c, 0xe00102b3, 0x1dd897c1, 0x26ea8d1e, 0xcb5f6739, 0xe57cc060, 0x9635cf45, 0xc6ed8e77,
+    0x18a2356e, 0x0723e2c8, 0x3df65a58, 0x5c33504b, 0x0e295fe8, 0xa953002d, 0xad9d73e9, 0x871d6b6d,
+    0x9b271747, 0x377485c2, 0x6f0f86fb, 0x4d46934c, 0x6582aee0, 0x088b8996, 0x6e316406, 0xd023b6d5,
+    0x578ff310, 0x90eefe9e, 0x8b637138, 0xe2b454ae, 0x71d55e5f, 0x357d43b0, 0x54b6cc15, 0xf0d2d840,
+    0xe0090d13, 0x590db5eb, 0xd2e020fc, 0x7d50f012, 0x68541e8d, 0xf9dca780, 0x8ae1abfb, 0x1ea21acc,
+    0xd29996b9, 0x96cad762, 0x92c822a9, 0x21ed6c7b, 0x82d15004, 0xb374554e, 0x8eec893e, 0x9fe6f7a3,
+    0x1533f796, 0x12f47cc9, 0x50b0e51d, 0x3bc465d6, 0x52523c58, 0xa5b69a80, 0x5178097d, 0x54545bb0,
+    0xc2dcda33, 0xf2d342bb, 0xa31db8b9, 0x516e75e2, 0xa8d46876, 0x22bbaeec, 0x1648bc62, 0x7c242c6e,
+    0xed11cd92, 0xa8f77ae8, 0x960fa152, 0x0ba7f6bc, 0xf195b8a9, 0xdcba4868, 0x46f19d4d, 0xf5d00219,
+    0xb9ef67ae, 0x2635ef67, 0xb24fc0fd, 0x9a7e8764, 0x38958e6d, 0x92611dca, 0x71150c4c, 0xcc225f5d,
+    0xe4339f7c, 0x6908c928, 0x31d02b20, 0x1adc4207, 0xa4ed6132, 0x8c61f1f7, 0xb14f28e3, 0xd35d96c8,
+    0xd8fe77cf, 0xf50d29b7, 0x0a00195c, 0x413a7aed, 0xd3dcbbaf, 0xfc79f38e, 0x31d33b59, 0xbda1f229,
+    0xe56da60f, 0x9420df1f, 0x73c2ff5d, 0x4b4d659d, 0xfa69ca09, 0xbab2f1db, 0x316dd1ae, 0x7db4ec22,
+    0x041a1f65, 0x28b40f12, 0x526fe2b0, 0xa46e5905, 0xfda63af3, 0xc6e6e991, 0x1c0eff58, 0x15cc7d42,
+    0xa6d003e1, 0x38b861cd, 0x44e9ae75, 0xabea13ba, 0x3e223e25, 0x6d458bdf, 0x9614f175, 0x4ff9f489,
+    0x8a53c45c, 0x94395aa8, 0xe03281a2, 0x8c38d1d9, 0xf3d8fd01, 0x6b63d654, 0x84a60770, 0x22aed750,
+    0x40c477f9, 0xcb19f401, 0xae0a2f80, 0x3c4dd980, 0x7ac5742d, 0x1c71ed25, 0xdd7b4cfd, 0x912d3361,
+    0xb012fe2a, 0x14d0196d, 0x52fc778a, 0x65bff64c, 0x3a4dd06a, 0xe177d451, 0xd9eeb074, 0x30529f2f,
+    0xd0a1e286, 0x70838c75, 0xb7ed99d5, 0x2861d2c7, 0xd2fa0e0f, 0x5cf1ae1b, 0x21027af6, 0xbb53137c,
+    0xc389db22, 0xac0da293, 0x5006ca4f, 0xdb239ccb, 0x04ed8c53, 0x080f63cd, 0xdee6893c, 0x46b9d146,
+    0x227d8d13, 0xb7917808, 0x1ec9eb4b, 0x0c18ce21, 0xf2d3ec85, 0xc067512c, 0x6b3a862b, 0xf63dae3f,
+    0x8dae8cd6, 0x676929bb, 0x8e13eba5, 0xc040ad1d, 0xa41866ae, 0x17a35766, 0x55b7145d, 0x6cb6d57d,
+    0x8a6a2206, 0x882b4a33, 0x6243314a, 0x42a72845, 0x1354e936, 0x907bb9e9, 0x367c8454, 0x06efc172,
+    0xaad16ae7, 0x16228588, 0x39f2ffad, 0x7b3c2592, 0xe4f1cc36, 0xe8f66fd7, 0x0cae5893, 0x79ceef9d,
+    0xf826607f, 0xbfa95e1f, 0x485d88ed, 0xeaa21948, 0x258c4d08, 0xa7f95f6b, 0x8e741371, 0xc26e62b7,
+    0xadbf0f31, 0x367e5eff, 0xedc425fc, 0x9931b052, 0xf128593a, 0xce2d462d, 0xc55acdcf, 0xe59cd73c,
+    0xc3e7e5a8, 0x9ad07c8f, 0x9cb1c900, 0xc6849dd0, 0xc4abd7fa, 0x14b31d5d, 0x6af7d392, 0xa43df44c,
+    0x2a840c88, 0x72e351d1, 0x03e19f22, 0x39093e69, 0x770d57d6, 0x9e03631c, 0x24d7622a, 0x27bc0a09,
+    0xf10aedca, 0xf6bafd8b, 0xc0e73d7d, 0x6e0c463c, 0x70ea820d, 0x560e018e, 0xc9448359, 0x6d690784,
+    0x3f816fe6, 0x6ba6bb52, 0xfe0b5626, 0x94c96b20, 0xf7f06c4e, 0xe6edd021, 0x5a2e2777, 0x167313ca,
+    0xeeaa9add, 0xdf296dfa, 0xb492eaf4, 0x1177cb17, 0xfdc9fca0, 0xae46a1e1, 0xd4bd6023, 0x3c6e0933,
+    0xaa10b819, 0x4aa2cb9d, 0xb3900a67, 0xefa90e48, 0x18ae687f, 0xce930330, 0x496a8ec6, 0x3a6b3f1e,
+    0x1e448d0f, 0xf05606db, 0x38bdbca1, 0x16c1785f, 0x983c9b29, 0x2b4b8be7, 0x5ef3e76d, 0xfa15df63,
+    0x702c9e64, 0xc58739f0, 0x342bb954, 0x1b12c310, 0x74b99b61, 0xab42c0d4, 0xcb0c8a43, 0xc8e0cae9,
+    0x276854ef, 0x54586bad, 0x4d31ba0e, 0x9262fc8f, 0x5921fe1f, 0xa05a2483, 0x0bdb85e5, 0xd0f1eb8b,
+    0xe64c2193, 0xc2470d13, 0xa17ad9d9, 0xbcfcc326, 0xb22f0126, 0x3efaab44, 0x1081ecdc, 0x8d01f244,
+    0xa35f5c78, 0xd44aaf78, 0x73a723d3, 0xd457962a, 0x97e4b956, 0xda89ffec, 0xc049feac, 0xb1e2a33c,
+    0x05ae3ebf, 0x64642bda, 0xbba0cb78, 0xacbec830, 0xddd40a39, 0xa469f504, 0x16847e38, 0x66f1db9b,
+    0x81bb0f10, 0x8b21532b, 0x918004c7, 0x0325c911, 0x2bc74aaf, 0xfc3e3f3c, 0xba58e7e6, 0x61ef06d3,
+    0x186b97bd, 0x630e3cba, 0xcdcfd9f0, 0x6b8bb032, 0x074a543e, 0x899f643a, 0x238075d6, 0xcd96036b,
+    0xfb1a0172, 0x326f4e6f, 0x683aa203, 0x9cfa3237, 0x5509b8a4, 0x4da87ad1, 0x658a20ba, 0x9e23623a,
+    0xb238f0ee, 0xb88ee7c0, 0x74d0ebbe, 0xafcea1bd, 0x4dd19844, 0x9ce11165, 0xb8c22e27, 0x4de5add4,
+    0x6c1c2a1c, 0xa15121d5, 0x45d77646, 0xcb36b8f0, 0xd8268061, 0x50a94a7b, 0x67ff5b47, 0xd64050bf,
+    0x969d32d0, 0xfc413882, 0x0bd225b9, 0xad60c15d, 0xb37e0f6a, 0xe247512a, 0x79277989, 0x791156d9,
+    0xafd4a528, 0x19dc9c6e, 0x5cb7553c, 0xb594fd93, 0x9465db90, 0x49c742bc, 0x434719a9, 0x2b6973a3,
+    0xa567c639, 0xe06ff7b0, 0x04c145b9, 0x0c52b4c4, 0x0d9b75ca, 0x677633c1, 0x54f66c15, 0x7e7a8f3b,
+    0xb77d4140, 0x13f4e02e, 0xacc9b4d3, 0x63b4f869, 0xe69cfcd7, 0x11ccfcd2, 0x2adffaba, 0xd3f064f3,
+    0xf5c8af4b, 0x602c889a, 0xfaa25412, 0x32383200, 0x0327cdf9, 0x3e25b990, 0x3a770485, 0x35165487,
+    0xa8f3206c, 0x91bb1592, 0x439ca11e, 0x73c12931, 0x25875638, 0x30050893, 0xb48741c4, 0x443ff229,
+    0xc2f7d2bc, 0xaa747c6b, 0xdb1e1f4c, 0xc4a421d5, 0xe8efed1b, 0x4b3f6b5f, 0x18f7c15c, 0x27904f0b,
+    0x89c5160f, 0xf2f8753b, 0x95cb6579, 0x4062bfa7, 0x89b8f6be, 0xd9254635, 0xd9b53877, 0xa21fa85a,
+    0xcc534754, 0xcab94632, 0xa24aa551, 0xa914e3f7, 0x9eda099f, 0x65006c45, 0x539578f9, 0x2ddbf039,
+    0xe3f06759, 0x6a7a209d, 0xbaae0b52, 0x2225f1ed, 0x5edfaf35, 0x86bee527, 0xac55df23, 0xc4705af0,
+    0xa057fdba, 0x235c7d9d, 0x9e14ef8d, 0xaa16f3f0, 0x65e2a360, 0xfa2ad0dd, 0xf910b3cf, 0x949e3269,
+    0x64c3ac1d, 0xf123cb4e, 0x3471b22f, 0xe8cab7bf, 0xc38aa9dc, 0xf10e02d7, 0xd7b50c53, 0x740ef13f,
+    0x2f26f971, 0xdd6506a4, 0xf46dc8d2, 0xce6438df, 0xbc2ee13c, 0x630cfcea, 0x7802143b, 0xfbb28170,
+    0xc9c6f61e, 0xe80d263a, 0x58141a0e, 0x1e9bef08, 0xa51ff16e, 0x69b83182, 0xf4b0fc6c, 0x8c8d78da,
+    0x7fdba228, 0xae99dc7e, 0xd665598e, 0x3dee8d09, 0xe209ad0a, 0xa919931a, 0x8a299aba, 0xcb7940a1,
+    0x837623dd, 0xabc0429c, 0x25fdc067, 0x3c6dc665, 0x514dbc8f, 0x3d3e2d38, 0xf56edb55, 0x37ac2ef5,
+    0x347a379e, 0x4162d9e9, 0x20888c18, 0x82a67618, 0x29b6163c, 0x47c0ec3f, 0x20ac324c, 0x63fb551f,
+    0xb9f6d818, 0x55d9b223, 0xa77da73a, 0x6bdb85f4, 0x93fc7a6f, 0xac42ffe5, 0x11248da0, 0xdc3601a7,
+    0xca6f5119, 0x574923dc, 0x08b4451b, 0x38d974bc, 0x2a4dc7df, 0xba8b5cba, 0x45e259e6, 0xc4b81fc4,
+    0xf9c43f13, 0xa47b79e1, 0x40fdb41b, 0x914d76f9, 0x6e46fe69, 0xadacb80a, 0xa7b14d83, 0xd1e3ead3,
+    0x323feeb4, 0xf3d7780b, 0x529d2c59, 0xbc6e4586, 0x479ceef4, 0x29fb6fb7, 0x74619650, 0xe8562e9b,
+    0x0faa91a9, 0xa0ffca35, 0x8dd44849, 0x3f1f7825, 0x1edf4c71, 0xe8e680b4, 0xe86528ca, 0xb4f9b681,
+    0xf288101b, 0x20de9983, 0x4c264620, 0x382b9ae0, 0xc1fe8416, 0x292bcec3, 0xefee1183, 0x81b7ce13,
+    0x05e91417, 0x89136850, 0xdc9f28f6, 0xe260b4d6, 0x4f289896, 0xc8c204e2, 0xfda5d76d, 0xac203bf9,
+    0x32294471, 0x814ea8e9, 0xaa24e064, 0x9fd282e3, 0x2b5800c7, 0xb6e324f5, 0x1d15dc39, 0x7fdef668,
+    0x55f3f3b6, 0x83c3576d, 0x54dc2bac, 0xad4a5fdd, 0x7c92cab2, 0x170eaa9f, 0x20b48fa7, 0xd7e3fe62,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000002799680927722255263196802\
+                          85071055534765205687154331191862498637620473983897520118172609686658950889472 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50,
+    0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf461, 0xe98be66b, 0xc08588ab, 0x8317076c,
+    0x00000000,
+    0x81db9ae8, 0xbb29b99e, 0x4687d961, 0x9a8aeb14, 0x60031dcc, 0x12571a19, 0x518c76aa, 0xc148dacf,
+    0x2cd40291, 0x26a46406, 0x71dda663, 0x5a5db755, 0x09831bfc, 0xbb61ab7c, 0xa32ab4b9, 0x5e7f41ae,
+    0xefec1416, 0x8c86438b, 0x00fe2a5b, 0xfb9dfabb, 0x5f68b12a, 0xf8411926, 0x6f8109dc, 0x74d6a897,
+    0xbc77daec, 0x24615ce9, 0xc7763468, 0x9e417cdd, 0x1e991fbf, 0xe50d0954, 0x96e44cc8, 0x863601b8,
+    0xac89ec6f, 0x913cb308, 0x1c955fc7, 0x3d9c49fa, 0x03bdd7f1, 0xcd1c130b, 0xbc39b590, 0xe781326a,
+    0x6b585704, 0xf572f47b, 0x8dd87807, 0x9b5c9f2f, 0x82f0f89d, 0xe8c88eed, 0xeb484f1d, 0x5e6a4ef6,
+    0xbedd86a9, 0x7691eaa4, 0x2360b799, 0x530c6015, 0x8e1c4bb5, 0x4980fc85, 0x9629735b, 0x435777d3,
+    0xb115dbd2, 0xc17acbe3, 0x4c6e8641, 0xd51302e9, 0x05caf382, 0xb34fe49e, 0x875fcc96, 0x70975b52,
+    0xed5a0786, 0xce8e4896, 0xf429bbe0, 0xeb909b84, 0x2376aad3, 0x605d9064, 0x9f522e31, 0xea197a83,
+    0x1d2d198b, 0x5a443b64, 0x595e9728, 0x93a0140f, 0x85ea62b7, 0x4c9e3e18, 0xdc2d4f23, 0xc5df6e81,
+    0x2d2a9085, 0x999df23c, 0x9fe3cef3, 0xf8dbe99a, 0xb6ef6269, 0xee9f13cd, 0xcb946bdd, 0x5e1f542e,
+    0xa86e36ad, 0x07d7794c, 0xe5bf3c1a, 0x6e183a36, 0x2e46b848, 0xf7c865c3, 0x7902c10d, 0x89784a32,
+    0xd92030f0, 0xd204da26, 0x9929a20b, 0x16eb0856, 0x40e41448, 0x40985d0c, 0xa14211c7, 0x496c103c,
+    0xb7e1bb0b, 0xd76bbdb1, 0x94d0fd1d, 0x67947098, 0x5340d61e, 0xb2d223f4, 0x696a7627, 0xf90e9e47,
+    0xcacd3385, 0x29883801, 0xd97bfcef, 0x76ab96fc, 0x5b4955b7, 0xacd1bcb0, 0xcb4f917d, 0xd29813f9,
+    0xe42c2049, 0xce6f92e6, 0x7944a2ff, 0x4e9e9264, 0xb8cd8c7c, 0xf5622325, 0xb14d549e, 0x7042a11e,
+    0xc0c43d29, 0xee0eec79, 0xf79fec70, 0xfa7c5cb5, 0x9d212927, 0xb5599764, 0x2186f0bb, 0x4b6f4f43,
+    0x5cdd266c, 0x97347301, 0x9e8941fb, 0x18894cd6, 0x349ed194, 0x0d5b0f6e, 0x1461f258, 0xe738058c,
+    0x66566506, 0xcd5bb6a4, 0xf6c518d0, 0xd63f5972, 0xc4a1482f, 0x8769b412, 0x14c2735f, 0xf27c724c,
+    0x31f58ff3, 0x1de9dc10, 0x6f9b7e4e, 0x69a4a217, 0x41eb1231, 0x88ae6e76, 0xa613b8d2, 0xfd53c75f,
+    0x86b248c0, 0xf173401a, 0x79861cbf, 0xc0de53e8, 0xa9aca5d4, 0xf24714e6, 0xd02edd23, 0x86bac2eb,
+    0xc783a2d8, 0xccec5e70, 0x25a995a1, 0xff70a69f, 0x1ca39107, 0x5e583d8e, 0x61cb318b, 0xd05ecc39,
+    0xc12bbdb0, 0xbe555ee4, 0xe8958015, 0x1528fcb6, 0x321854d6, 0x46b0b0df, 0x7a2db505, 0xb644e443,
+    0xca73f5b6, 0x9697897b, 0xf2247c36, 0x3239bb7f, 0xd092424f, 0x18da0326, 0xbd9822cd, 0xd292dab7,
+    0x92682c4f, 0x5117fbb0, 0xcc20a73d, 0xf9360571, 0xde065612, 0x2b36e2cb, 0xc9e045f4, 0x81a2fe05,
+    0xf8e9f711, 0x14ec4ec1, 0x64396128, 0xec3d7d28, 0xe96d0498, 0xbdf7872b, 0x5f372df4, 0xc2f0fb8b,
+    0xd46ea7cd, 0xac172ae0, 0x40ecf377, 0x73df2dc5, 0x38996287, 0x419efb53, 0xad718a24, 0x9fdb6ba2,
+    0xb0c2039a, 0x60baf522, 0xfbc82710, 0x6765ffd0, 0xb9f2456f, 0x8821344e, 0xfaa16312, 0xe3b0f1b3,
+    0xc9134666, 0xeb0c4813, 0x488abe47, 0x4b3cd465, 0x15fa4d2a, 0x40911937, 0x8e09d8b1, 0xf18d8736,
+    0xd2731ea4, 0xd6086b00, 0xf3aaf16d, 0x5564bdd5, 0x0a0896a3, 0x2d0f6ada, 0xa9e3f3b5, 0xb4d68ebc,
+    0x7bd5c21e, 0x04d9c4ab, 0x771a3ddc, 0x1923a892, 0xbcb5050b, 0x0169414e, 0xcf3e01c5, 0x1d997020,
+    0x52a71034, 0x2706d9ab, 0x510a6999, 0x1d60e3fa, 0xbd88db18, 0xa7a86064, 0xb02357f1, 0x538f8bb0,
+    0x3d43a50e, 0xfa7336d9, 0x0537512a, 0x1dd83bd4, 0x559b1e15, 0x448c9658, 0xa921ba37, 0xd93f32c8,
+    0xdbfe4204, 0x0221879d, 0xf03948ca, 0x219bfc13, 0xd7a6eef9, 0xe9628c81, 0x65c7f1bd, 0x9d8b3f87,
+    0x81a22b2d, 0x69a77583, 0xa38925f1, 0x37f38d35, 0x43d9d8d2, 0x6b1bda1a, 0x04e5a5e2, 0x09ba136f,
+    0xc962d8f4, 0xec3c3f89, 0xa15f17e2, 0xc6498658, 0xfc91146e, 0x93b4dac1, 0x5ed8307c, 0x907e0688,
+    0x0fa56688, 0xb249ba2f, 0x165cbe81, 0x01632253, 0x63592fd0, 0xf85a6619, 0x0fa1d16f, 0x7e02c596,
+    0x3d2bd339, 0x09b2a1dc, 0x8b3b3d6d, 0xfd7f6958, 0x5c8fb2fe, 0xa7077fef, 0xc32c9cbf, 0x586c821c,
+    0x1fe00fca, 0x602c1cba, 0x216d1c09, 0x39da3b96, 0x642527c2, 0xea6e2655, 0x9672e852, 0x936e989b,
+    0x67511a52, 0x55930560, 0x277a59d6, 0x12a38e00, 0xe97d3c41, 0x5c3500c7, 0x9912dbb5, 0xcb80b207,
+    0xda703ab3, 0xc762d20d, 0x7e6aee58, 0x4f30bace, 0x4a9e729c, 0x1f791d25, 0xa2b63ad0, 0xbb9b33c2,
+    0xe5891116, 0xc545155c, 0xe595e59e, 0x4b58f4eb, 0x79977319, 0x8363dc4d, 0x452b7378, 0x5d09811f,
+    0x04ada4e6, 0xf4412b93, 0xa1248285, 0x75d5882f, 0x18418969, 0x4bbecce7, 0x3fb67bc7, 0x02506eca,
+    0xe6e46321, 0x598e0a96, 0x09d8da95, 0x558468a3, 0x1be0688d, 0x0fba9664, 0xe2ddc077, 0xdb1bf1a4,
+    0x10182e01, 0xca1f8650, 0x180e77a8, 0x6ad3b9e0, 0x1a7c4176, 0x427ec7a1, 0xb98f00ea, 0x5ec565bc,
+    0x7ba3890a, 0x2995a3a7, 0x0d3e4a84, 0xcf4dabd1, 0xd4d8ae29, 0xf19f6081, 0xb48d99c6, 0x00b39780,
+    0xeb5d69aa, 0x2ca47fb9, 0x0d349a71, 0xd736cece, 0x07efd781, 0x9abb6762, 0xefc88529, 0xad67c065,
+    0x2fda28e8, 0x5b995a96, 0x059f885c, 0x6931eddd, 0x6170bf7c, 0xf188e846, 0xd8f24631, 0x4c14543a,
+    0x4154c1cb, 0x703d1baa, 0x9898eddf, 0x67f4221e, 0xb64b7624, 0x8f2a2fa5, 0x7e52d61c, 0x1bbbe4db,
+    0x4842fc1b, 0x288fea6c, 0x6122456b, 0x10ecac08, 0x10d766db, 0x33b8732c, 0x75ad7f60, 0x92203fb1,
+    0xc10fd59f, 0xea804290, 0xc546a960, 0x367dec54, 0xc4658962, 0x384deef7, 0x130917e8, 0xd5d85b1b,
+    0xd1869eca, 0x24f894bd, 0x3b324537, 0x59f43df9, 0x29bad457, 0x0adf59a1, 0x4ca3e45c, 0x371e8c66,
+    0xc9ae3b8f, 0xe983b994, 0xc0fed03a, 0xd5873cee, 0x3a73a292, 0x09c8e3ee, 0xf6842c65, 0x17a545e0,
+    0xc9465be6, 0x9bb748e3, 0xc039403e, 0x4239eaef, 0xff0196dc, 0x5a9e51c6, 0x4c304354, 0x49b1e04f,
+    0x6bc94e1b, 0x75d108d0, 0xf0e3bb20, 0xe2e33b24, 0xe41b97a5, 0xcf099fd8, 0x756a3f6a, 0x79355c6b,
+    0x96e0a273, 0xf3b7d4a4, 0x7f2116f6, 0x729509c8, 0xd478b38a, 0xdcc5fbe2, 0xc37e1903, 0x6f8f5742,
+    0x6c3914f0, 0xa2a27e6b, 0xe650bd0a, 0xc8f1b73c, 0x5c45b89f, 0x4fe17bf5, 0x09867eda, 0xbd0aba87,
+    0x665e2116, 0xdda71f1f, 0x2a8ecbdd, 0xfca05847, 0x0a0530e8, 0x5674d273, 0x2ed60450, 0xecbf756b,
+    0xa388291b, 0xd0804d4f, 0xdd0e79a5, 0x9e2adbe8, 0x8e569926, 0x42f950da, 0x207295b3, 0x70e5dc1f,
+    0xfa504b3a, 0xc860af31, 0x0252a14b, 0xa0c71fd3, 0xba63c1b2, 0xc9cfbba6, 0x6fea6d32, 0xcb7d8247,
+    0xbebb2b13, 0x903934d9, 0x2187f9b0, 0x77b72655, 0x4df44626, 0xfa79cf52, 0xa3555c0f, 0x72bd645f,
+    0x8e97c768, 0x0bae8853, 0x21501d52, 0x8492c9de, 0x01d8fa51, 0x8af732bb, 0x961afc35, 0x0b178310,
+    0x9c35f082, 0xf559fef9, 0xdb5ab1aa, 0xaf5fe1d0, 0x6c0123b4, 0xa5c292eb, 0x5cdd490c, 0x0f66f3d7,
+    0x5380d227, 0x9a8bf39a, 0xa1199808, 0xac6f5086, 0xcb3a4972, 0x47a1086d, 0x3239d154, 0xd3cdf865,
+    0x4ddf2f73, 0x3f24c435, 0xcf26a611, 0x20de2b04, 0x3ba2a676, 0xc2c81833, 0xb1d7cb29, 0x9a35278d,
+    0xf44dcf6b, 0xb40c4084, 0xe408479c, 0x13f93407, 0x9581c71e, 0x2a0c7c50, 0x0205f801, 0xedde2ef6,
+    0xa2f3c8ab, 0xea7578f9, 0x7c9ec3a5, 0xa110a23f, 0xefc2b24f, 0xd6d4d838, 0xa2521d23, 0x9fdd5358,
+    0x4c5e43eb, 0x0cda2a7e, 0x95c9fbf6, 0x8d692904, 0x8acbc5ee, 0x41c8578a, 0x5e2d0f12, 0x59d65dc6,
+    0xe61f937c, 0x59d2e751, 0xcb55b36c, 0x5689680f, 0x3c237900, 0xe005e6c6, 0x04bd32f8, 0x39322614,
+    0x48d66030, 0x2eeb4615, 0x98fd88a2, 0xe33c8cd4, 0xb4d04ad5, 0x7a0c295a, 0x0057881d, 0x9f479b6a,
+    0x1b4c6c6d, 0x4f6b3eb2, 0xc82b5126, 0x2666b87e, 0x83f0244f, 0x6dba5444, 0x08fc8076, 0xdeb23413,
+    0x9df8c085, 0x47eed7ee, 0x80cbc8c6, 0xec0ed824, 0x40fd10f3, 0x3eea2ea1, 0x1492943c, 0x17e816ed,
+    0xc92e64df, 0xe3a1b4cd, 0xc99c6f61, 0xe997486a, 0x4c42ddf8, 0x9ab1fcea, 0x78e4cd55, 0x90cfc145,
+    0x8f163fbd, 0x62b89224, 0xcf18679c, 0x9e781c9c, 0x67964005, 0x4af043d8, 0xd3dcc441, 0xb86849b4,
+    0xd818ba09, 0x2a16a306, 0x814eefc8, 0x74d7cd19, 0xa65643ef, 0xfcbc1979, 0x960e119d, 0x09f06283,
+    0x26142c29, 0x716a6a41, 0xd9a9eb79, 0x2d9ea7a1, 0xed7746b2, 0x5b4a1b17, 0x86f8d45f, 0x0e1c9273,
+    0x71578941, 0xe25691bb, 0xe19f6fc7, 0x504d8787, 0x7b63ba92, 0xc3720ca9, 0x55488612, 0xe858c6a7,
+    0x20d6b957, 0xe47b7b19, 0xa1325c14, 0xc6acc89c, 0xee971b38, 0x1389e1e1, 0x56a81eeb, 0x36a1ab1e,
+    0x14b1127f, 0x48b0cfb1, 0x5a467088, 0xfaae6208, 0xac71ffd2, 0xca78f35d, 0xc3a3bb10, 0x7a9279e9,
+    0xd77a3412, 0x874892f0, 0xe8170cd0, 0xcc4938bf, 0x6645b007, 0xdc71be2d, 0xd9970d52, 0x2cdf7071,
+    0x594727aa, 0x74ecc3e7, 0x9338c05e, 0xf24d527e, 0xa3f53de1, 0xe7a00be3, 0x03daad7a, 0xe30b9d6e,
+    0x29c40c93, 0x614f8343, 0xa61c9ca8, 0xbefb38f1, 0x99b41ee3, 0x5a874d25, 0x75c3c41d, 0x17f1283a,
+    0x257aec14, 0x61d853d3, 0x1abab5a9, 0x79c4a2c4, 0x64774cc9, 0xd0ccfca7, 0x379b3696, 0x587c5b4b,
+    0x910027df, 0xfbf9bfa0, 0xbcea303a, 0x3ff4cd9c, 0x5a50f213, 0x606a0115, 0x47ced307, 0xbd06344b,
+    0x3fee2f7a, 0x66f32f29, 0x1253410c, 0x103bef5a, 0xb2cfced6, 0xc26d3095, 0xa5cdc564, 0x1ea339cb,
+    0x0cd391d2, 0xd27f62be, 0x490a3e77, 0x809c8c82, 0x844a885b, 0x3d605a44, 0xb588ff05, 0xcbb1b3c8,
+    0xcc90fca8, 0x9c00af94, 0x1213d16a, 0x51497825, 0x66a0bf58, 0xd07040e1, 0xcf795031, 0xbfdb06c0,
+    0x816b1773, 0x5dd05583, 0x809161a9, 0x05486db7, 0xb6d90933, 0x1cdb728d, 0xc758acaf, 0x1436ee5a,
+    0x21246eb3, 0x12020d7d, 0x2aee7c01, 0x6b1b3fc1, 0x615a8ccb, 0x06c99f08, 0x5daf3b2e, 0x7ab5ad25,
+    0x78fb365c, 0x3adaa4e3, 0xfa75467e, 0xcce7d37b, 0xb88e7205, 0x0321e6d0, 0x66840484, 0x205b8855,
+    0x840e12d5, 0xf678df7b, 0x5f7ec83f, 0x5c03acc0, 0x903ac945, 0x6ea6679d, 0x60988468, 0xbf524927,
+    0x7014f2fb, 0x8bd32361, 0x1363c010, 0x207c13d6, 0xa79b9e83, 0x2a41dcc2, 0x34c8a2aa, 0x840c380a,
+    0x5b64ae5a, 0x509b6bbc, 0x5866c76d, 0xef7f05d6, 0xe285bb57, 0x8ef237b1, 0x6758dab3, 0xba8c6064,
+    0x1087b1ba, 0x51a67d3d, 0x006dd051, 0x254dc83b, 0x752a636e, 0x9988b171, 0xd1e4c917, 0xb1c0a76b,
+    0x1bd9f6a2, 0xe278b8d6, 0xae41d09b, 0x063864db, 0x571d6820, 0xfdab8802, 0x747c9d21, 0x21933adf,
+    0x250e91fb, 0xcd9cc054, 0xb1d2d054, 0x3f165af6, 0xa9a066e4, 0x7586caa3, 0xb8e52104, 0xafc89e18,
+    0x076a9bd5, 0x00b314b0, 0x53d6f2ee, 0x29578b26, 0xde2a75ce, 0xedf7ad16, 0xabc571c4, 0xb7387b25,
+    0x8199d846, 0xfbc310ec, 0x3387bec0, 0x6f1454dc, 0x343a340b, 0xc7d61f67, 0x7746764f, 0x7763656e,
+    0xd4d00825, 0x3a7b2864, 0x77fe6b48, 0xac168d4b, 0xf6699376, 0x70caca89, 0x2f4d6ef8, 0x6a7744a6,
+    0xfb897239, 0x7b2286be, 0x3ebba1c1, 0x066cf208, 0xae935ebe, 0x7737734a, 0x1c2bc4d7, 0x318f372f,
+    0x72d777e2, 0x68c24bde, 0xbeab0d2b, 0x880781eb, 0x189df343, 0x8078dee6, 0x5378b153, 0x3e278146,
+    0x34a9415f, 0x80de817a, 0x0a106e12, 0x583a6ea7, 0x7fbdae1e, 0x13753a61, 0x69975c88, 0xadb19013,
+    0x54ae5715, 0xc3927ae0, 0x34343aa8, 0x8afa2e35, 0x46649b38, 0xf8140c8a, 0xa5606175, 0xc4d9fb52,
+    0xbf64d95a, 0xeb86fbff, 0x0dcd1aa3, 0x8a8debd9, 0xe5d38f96, 0x1855dbae, 0x6ec9ad3c, 0x217ba9da,
+    0xc1b762fd, 0x7334047a, 0xa7836ad4, 0x493cd8bb, 0x8322c2da, 0xec8d4efa, 0x685c5c90, 0x6b6dabd4,
+    0x933d5be0, 0x5015e53a, 0xbf943a0b, 0xd0bc6d37, 0x9874d8a3, 0x8f95ae50, 0x7ec80466, 0xc4da42a6,
+    0x184c40ee, 0xc34b76ad, 0x383327ec, 0x841d8383, 0x9052fde2, 0x3475044a, 0x19fea339, 0x4cc0c6fc,
+    0x6999027f, 0x7b8937b2, 0xfbf91f85, 0x6b4ce8d2, 0x7e593427, 0xa4a93e1e, 0x675e580d, 0xc6d26b94,
+    0x7276fda5, 0xc988adb8, 0x654857d3, 0x6030006e, 0x40326524, 0x05c95581, 0xcb7fb56c, 0x07b803e7,
+    0x9bb5ba2f, 0x768771b2, 0x9c4ba80a, 0x241c8d77, 0xd3a18ae8, 0x9b6cb27a, 0x4e90ed28, 0x485f6ab8,
+    0xca20acd3, 0x7f197147, 0x3bc776d1, 0x96c83428, 0xe3afd94f, 0xf06221a1, 0x3c17f367, 0x3d8f9085,
+    0xdf41df5c, 0x970b0ed5, 0x95828d50, 0x25c298cb, 0x373b9141, 0xcd3a4b88, 0x46b3a08d, 0xff125cea,
+    0x23ef49ab, 0xcda714b4, 0xea57c0cd, 0xb29ceffc, 0xc36c9e3f, 0x3daa1e34, 0x57f26758, 0xf450086e,
+    0xde3e1562, 0xd42a7d77, 0x96a521df, 0x2e409424, 0xf067f121, 0x2a35fb01, 0x5dcab7ae, 0xb028cf2f,
+    0x33ea93f9, 0xc4575834, 0xc5ae8e8d, 0x3f27cb89, 0x01b3ba8d, 0xa7026641, 0xd395c1a0, 0xed288253,
+    0xa79a64ce, 0x92e7f826, 0xe5d05a7f, 0x322ea0ea, 0xab7eeafa, 0x743e5873, 0xf10e721e, 0x99d08e09,
+    0xa526e7ee, 0xddda7386, 0xb1d14ca3, 0x33a277cd, 0xdd13eaef, 0xa51f00c7, 0xfed1b38e, 0xac39c2a6,
+    0xcd7d4b03, 0x535b0c1a, 0xd5330afe, 0x9abb5ae9, 0xa175777b, 0x2f8a8fb1, 0x8a4c7837, 0xbeed3432,
+    0xc9db783d, 0xb691372a, 0x43b78579, 0x73ffb1c8, 0x5b2d5c85, 0xe5499170, 0x4dc509b0, 0x57f219bb,
+    0x0e0c5c9a, 0xf7ee3d27, 0xa5c4f71e, 0x99b5765a, 0xe3d2b594, 0x0fcabe9e, 0x6111b58a, 0x1e7e8c92,
+    0x1f792790, 0x2ca6e8b1, 0x8bde2027, 0x192adcf4, 0x53ca507a, 0xaadc4eb6, 0x77631b6d, 0x594e2858,
+    0x0e723b10, 0xac8051de, 0xf6fe1e80, 0xc175bd5c, 0xfe2f73e4, 0x1181d901, 0xbbd2db64, 0xa0cd94b3,
+    0xb5d77512, 0x6b3a2d55, 0x883f7ff5, 0x914bc871, 0x32fad19d, 0xba596261, 0xda37454a, 0x9dc23ed4,
+    0x5329d8d9, 0x0d8423ec, 0xbdcc8302, 0xddd7723c, 0xfb17a4f7, 0xe75aa69c, 0x9691d5b2, 0xd651cc1b,
+    0x0d0e9d16, 0xdf8106be, 0x0d086d80, 0xbdbffeff, 0x0af68773, 0xf9076b36, 0x5bc9e94a, 0x4d4f8866,
+    0x46b6142f, 0x5fcc5387, 0xcfc1d34c, 0x5a595a2a, 0x4197c0e0, 0xff20eb01, 0xa51a8c10, 0x59b9f3d9,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000001399840463861127631598401\
+                          42535527767382602843577165595931249318810236991948760059086304843329475444736 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8,
+    0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa30, 0xf4c5f335, 0xe042c455, 0xc18b83b5,
+    0x00000000,
+    0xb6540ac6, 0x1701cb82, 0x199b41df, 0xac57be13, 0x2864538e, 0xf71d3a40, 0xa26b46c2, 0x6214f542,
+    0xc22e6aef, 0x80c57141, 0x5063e61e, 0x04952378, 0x1b514654, 0x200fc047, 0xd8f1d353, 0xb34d4040,
+    0xa1cb8cdb, 0xbe8c39df, 0xf01a7c60, 0x98d0f1ed, 0x7237d752, 0xcd9a9e8c, 0x816f8abc, 0xe3e31e1e,
+    0x4ed28a53, 0xca101699, 0x1a0c8b7e, 0xac878d18, 0x0941f315, 0xe66e50e1, 0xbecf7f99, 0x60d3d94b,
+    0x33cbe5e1, 0x5834ba8e, 0x66379bb3, 0x2377b785, 0x9050dae2, 0x65fef8d4, 0xc4b8c21a, 0x1131c878,
+    0x7b9aed9d, 0xff3f2318, 0x9422d813, 0xcc997c5b, 0x8dad99d2, 0xab6dd70e, 0x27d23fcf, 0x716126ed,
+    0xe8418259, 0x4b5010b3, 0xf46b895a, 0xc1bdbfec, 0xbd823198, 0xe1c173aa, 0x0d4d9888, 0x317ee9df,
+    0xee5ccf99, 0x634a5957, 0xf6c4fd29, 0xfb701358, 0x075887c4, 0x12ea3111, 0x984b8101, 0xf902a874,
+    0xac3a4492, 0x6a2f16d4, 0x4d3d7003, 0x9c172c97, 0x785824ae, 0xdd9b2695, 0xf4effb10, 0x8b004114,
+    0xe49ceeb9, 0x9656c062, 0x5e702fe2, 0xb912a0c9, 0x8b165674, 0xa5be0bad, 0x6c410e44, 0x559188a5,
+    0xd61b63b4, 0x960220f7, 0xef46b961, 0x2149ecd4, 0xfa2c6300, 0xf40eba30, 0xaed85ea0, 0x22eaf26e,
+    0xe014cca5, 0xdd04eff6, 0xdaa1b6b8, 0x08978968, 0x2a0560ad, 0x331b2711, 0xb8d1b4d8, 0xd5cb4ee1,
+    0xc3c95bd7, 0x23d054e8, 0x2c19dc4a, 0x41a90e0a, 0x0ec502dd, 0xffe40641, 0xe2de6a69, 0x9bd4524f,
+    0x5d417bb4, 0x30590318, 0x1e0c97a7, 0x488d1deb, 0xa76c9fb7, 0xb2536383, 0x18a6353b, 0x81d4316b,
+    0x0eccc973, 0xf589cd15, 0xdb111722, 0x4b61c390, 0xaca78db2, 0x1ddba3d4, 0xb5c57de9, 0xfa88f70f,
+    0x66b00aa2, 0xee3711cc, 0x9d7aa538, 0x83da1e6c, 0x3d10b373, 0x89db1cb4, 0x42f25d25, 0x5b169798,
+    0x3e197c8b, 0xf61c27b3, 0xd8d1e293, 0xcd64ca1a, 0xd7f0f2fe, 0x6c3b293b, 0xde9ff231, 0x820b73a7,
+    0x540fa700, 0xfebb70d9, 0x58346588, 0x8a698c5f, 0xbca5c8d1, 0x15a395e8, 0xc8f35528, 0x61f28377,
+    0xd12ea819, 0xe9c39889, 0xac8fdf4e, 0xa406f4fa, 0x200184ba, 0xd8f05620, 0xb0328c12, 0x24bb298a,
+    0x43a7c2c8, 0xc1009422, 0xb1370065, 0x2fa38919, 0x2b71c7b8, 0x046d712d, 0x4255a2a5, 0x5372e04d,
+    0xa8d75855, 0x96daf642, 0x60fedf4d, 0x7da2913c, 0x104afef4, 0x4cb9e254, 0x45434750, 0x04551f76,
+    0x804b2b49, 0x3dda7bbb, 0x8a95769d, 0x031e6919, 0xc7c94086, 0xdb224ec8, 0x2816f448, 0x2eb85dbc,
+    0x73f8bfb2, 0x589d81f9, 0x13b8b72f, 0xc7f7f02a, 0x44dc3aa3, 0x7c9aafe4, 0x62d7ca51, 0xbac72d6f,
+    0x28bcfd7c, 0xa17b5916, 0x810cecac, 0xfb3cf0c9, 0x6a990e96, 0xd27f0a12, 0x769c261a, 0xdd45baab,
+    0xef23cc6e, 0x03b4f7d6, 0x809f9426, 0x430f07d5, 0x0767a37b, 0xf90aca9c, 0x2f44f55a, 0x8614fb50,
+    0x05d9660a, 0x46969c8b, 0x8a0ffccb, 0x5a1f20ef, 0x165d762d, 0xa523b7fb, 0xd733bf53, 0x402ac2cb,
+    0xb071e420, 0x7a036a9f, 0x591064e4, 0xb8461c55, 0x26b29a3c, 0x142206e2, 0x3c5bbab9, 0x483d15d7,
+    0xa3419d13, 0xefbf55b5, 0x6f18ea2d, 0xb21fe3ed, 0x82ab5710, 0x6265f315, 0xf074599c, 0x141b37a4,
+    0xfbd74df9, 0x6e853784, 0xf3d061c8, 0xbc2636df, 0x0c93fbf3, 0x2cbfeb16, 0x96f07bf0, 0x68940f67,
+    0x13624156, 0xfb0d7aca, 0x67c0bec4, 0xe4ff7a1f, 0xb182a8f8, 0x6805ca4b, 0x2683f45a, 0xc2e28c58,
+    0x93212756, 0xf56cc53b, 0x1b836532, 0xa611239a, 0x0ceb10d0, 0xf96f83e9, 0xd7ef4468, 0x40c87b76,
+    0x337e11bf, 0x80cc49a4, 0x32edae83, 0x3734aa77, 0x8a07147c, 0xe5f4e321, 0x6fd23295, 0x533f21c7,
+    0x7b8faa87, 0xb1396877, 0xe2c60998, 0x172295db, 0x1dd4d03c, 0xd9443c23, 0xc70f4fa6, 0x5fa9e01d,
+    0x09d93b6e, 0x00d8d1f1, 0xbc899fe6, 0x1cb92836, 0x02426105, 0xb17b4f14, 0xcb556f21, 0xd129b458,
+    0xb0575277, 0x73aa79e2, 0x593649b7, 0x12bfc58a, 0xf1e5259c, 0xd121a71b, 0xc954e479, 0xc476f0ef,
+    0x663b634c, 0x8db19f38, 0xe3e052ab, 0x35f113a4, 0xa2ecde6d, 0xc82ae5c9, 0xb91884c8, 0xc0558856,
+    0x014302aa, 0x3a9bd8a0, 0x16479141, 0x4ad1bc63, 0x00dea727, 0xeaa89c5c, 0xc5f5c740, 0x295f1f64,
+    0x2ef186d1, 0x6c39f1f0, 0x18c07677, 0x6da588b8, 0x42202e4d, 0x959311df, 0xc90b5b80, 0x28d81264,
+    0xb5511516, 0x8288cabb, 0x30e72910, 0x20242d49, 0x9a9116f2, 0xae9e28bc, 0x23e2a5fd, 0x8fb1e272,
+    0xce80a698, 0x16cdf732, 0x452297a4, 0x871509ca, 0x6810d30b, 0xf73cdaa9, 0x57154c64, 0xeab09731,
+    0xa0725183, 0x7290d6c4, 0x15bc389d, 0xb8001e48, 0x72a06518, 0x458918bc, 0x123dff46, 0xf8d69a9e,
+    0x1e5eb31a, 0x9b5f8bcd, 0x39ebcec7, 0x611132cd, 0xfde801bf, 0xa09acefd, 0xacd53394, 0x3bafd836,
+    0x3c390f38, 0x6893394f, 0x93b90bde, 0xda81eab4, 0x9e3ffd68, 0xad2e9e67, 0xbd6413f9, 0xe2f67263,
+    0xef71222d, 0x00eaabe7, 0xc7de563d, 0xba089bfe, 0x11625e22, 0xabff579c, 0xa5392232, 0x5bfe7367,
+    0x13d1c1fc, 0x4944dcbf, 0x33337688, 0x6f68d2b2, 0x14e75ddd, 0x3d7e5508, 0xbb242060, 0xb7eaefb7,
+    0x69941319, 0x80220e96, 0x6b2c2197, 0x5cb798fd, 0xf08b3b7c, 0xe72d48ca, 0xeaa302b1, 0x5c0b066c,
+    0x8d8ed79d, 0xd1359208, 0x7b485f3b, 0x34bf5daf, 0x773e0b75, 0x3b9f3f19, 0xa831d2ea, 0xd549802f,
+    0x97085df6, 0x77252da6, 0x0c6f7d71, 0x458799c5, 0xc36a73a3, 0x302278f8, 0x0b0674bc, 0x7973b722,
+    0xcfe2978b, 0xf1e6ae48, 0x2acec6d0, 0x23008edb, 0x320ad358, 0x62a410fa, 0x13a847d1, 0x0adf1e3f,
+    0x924461c7, 0x37d8c4e1, 0x7bddf474, 0xaee19790, 0x495ba26d, 0x6ebbb96e, 0xa5a63101, 0x91589a53,
+    0xfa21e60c, 0xdb32beef, 0xb84d681a, 0x1d655bfd, 0xbc8854c4, 0xdb2db52a, 0xc48505fb, 0xe1b1c818,
+    0xde5888bd, 0x5f02ce5b, 0x4ab9f627, 0xead0b3a5, 0x4cd7be5a, 0xbd0d446b, 0xbd4ab499, 0x1d919225,
+    0x9c7ecc65, 0xe659207b, 0xd6f17232, 0xffa24531, 0xa0d3254a, 0x12a6d2b0, 0xe2af4bdf, 0xcff996e8,
+    0x24815684, 0x769e87d2, 0xfc0e840c, 0x58e44501, 0xcee1d31e, 0xc2e2f764, 0xaf875265, 0xe643e2f3,
+    0x89c22099, 0xb4f8314f, 0x1f572ea0, 0xa9f72f45, 0xf86ba046, 0x60a3c66f, 0xfbb06ade, 0x29c7c1f1,
+    0x6314d585, 0xe5b8ee5a, 0xe40741fb, 0x93716d92, 0xaaa4f14f, 0x10ff20bf, 0xaf7a4582, 0x13cbc111,
+    0x6fbf386b, 0xa7161f92, 0xe404a7d2, 0x6e0addc5, 0xe5474272, 0x9c72a6a5, 0xc3fcf6c5, 0x4196a0a6,
+    0xaea5747f, 0xdff8b17b, 0x0921ed5c, 0x65110d96, 0xa9fc470d, 0x296ff0e2, 0xcceb42ad, 0xe6e805f8,
+    0x9ec2d263, 0x518744f2, 0xb9a4aaf0, 0x1279a37c, 0x7478d5c9, 0x145a26c3, 0x8ab7a964, 0xc29ae601,
+    0xbb57681a, 0xf44a2bb5, 0x197b383f, 0x0b6dbf92, 0x7ea9f834, 0xf7438521, 0x890808bb, 0xaf2184b1,
+    0xe6d18dbc, 0xee97c27b, 0xcdacdcdc, 0x0badb7c6, 0xb5c04215, 0x9592b984, 0xea5e4105, 0x7ac551bd,
+    0x71bff92e, 0xa6f85263, 0x6b8a31fd, 0x659860ea, 0x89e8aad6, 0xda8f5b34, 0xa40cc477, 0x89b39608,
+    0x750ce8d0, 0x6ba0f08f, 0x91ef772b, 0x73f06cc2, 0xb78a910f, 0xff0eb1ff, 0xec883e8a, 0x5f2238f2,
+    0x9f68685c, 0x7ae7e42c, 0x70f3f597, 0xca7e82fd, 0x6c638762, 0x6e0bf9e9, 0x152e0986, 0x5885b06c,
+    0x172ca905, 0x7fc545d9, 0x645cd0d8, 0x47d8f7c8, 0xfd8bdfd0, 0x63f01d0a, 0x08a57a7a, 0x9156c3a9,
+    0x18807bd5, 0x1ac4d144, 0x658f9368, 0xf02dfb45, 0x897b9aab, 0x63a808fa, 0x00627066, 0x44981c4d,
+    0xe012be2f, 0x98b7f1b2, 0xc8e25962, 0x298858c9, 0xb1fbbcb2, 0x2fafcdcf, 0x13d4684c, 0x762c82ea,
+    0xb911506d, 0xf42381f6, 0xde501505, 0x2b1d300f, 0xe4833cbd, 0xfa168547, 0x2c0bfc78, 0x3ab2de08,
+    0x260c9688, 0x5b64dad1, 0xed82c569, 0xdec0babc, 0xe61f03b5, 0xfdebda68, 0xa7fed0a9, 0xba62444b,
+    0xb41029d0, 0x44e60190, 0xf7429473, 0x419bd3cf, 0x167cb0bc, 0x771c6447, 0xea5d6437, 0xf68a2c24,
+    0xc07610b9, 0xe61331ac, 0x8208d1c4, 0xfefd6f26, 0x6921d338, 0xaa29c05e, 0x5594439b, 0x60b9eca7,
+    0x79624997, 0x9713e43a, 0x53280c69, 0x1ee77383, 0x0cc0f8d0, 0xaf07d2bf, 0xe606f4f9, 0x0ecbc304,
+    0xa19eba3c, 0xaddc4316, 0xac942342, 0x83e22687, 0x9512a281, 0x4186fca5, 0x0993ca61, 0xbd54b0ae,
+    0xce28203a, 0x7cd0106f, 0xf7b1948f, 0x7be98573, 0xfbb65d6b, 0x52ec2d8b, 0xc3201465, 0x136f2823,
+    0xe5eb9b6e, 0x9d347ea4, 0x2924012f, 0x3acc2500, 0x7de319c2, 0xfe8b07a0, 0xf7530b08, 0xff09960d,
+    0x846b4023, 0x0143de6a, 0xf338a4c0, 0xaa6faaef, 0x0ab5468c, 0x751d578d, 0x652581f9, 0x47279643,
+    0x42768fc5, 0x8ee8cfea, 0x03731e24, 0xaeb096e2, 0xcb6ac0a1, 0x20a0bcb9, 0x5784874e, 0x05e9a92c,
+    0x224cd7ac, 0x5aec7ac9, 0xb4714944, 0x8de49047, 0x0c5d38bd, 0x43df0ed4, 0x115595bd, 0x47bd697d,
+    0xecd9231f, 0x96c3c9b9, 0x927701fe, 0x2e4465a1, 0xe19e2ba4, 0xe3c7b5e7, 0x4095245e, 0xba726f94,
+    0xa3f5cf9e, 0x9b442a73, 0xdd59776b, 0x70d10622, 0xdb4acd2a, 0xe1c163ff, 0x72948087, 0x0a804b8d,
+    0xf0854831, 0xf44184bc, 0xf753b860, 0xa90cf663, 0xedd831b2, 0xdd012147, 0x6f7b9de6, 0xa23eebf0,
+    0x9acb559a, 0x84e49f23, 0x2c8e07d6, 0xc021ad83, 0xd0402915, 0xa0a751b9, 0x4b8b7a13, 0xaa552488,
+    0xc9480fda, 0xe0e5c77d, 0x7006faad, 0x1924c35a, 0xe2e432c2, 0x68a16965, 0x39a7027a, 0xf6bc4cc5,
+    0x321074b0, 0x33dd7913, 0xc33ade6c, 0xe30ebf5d, 0x2c32b285, 0xb91286a3, 0x75e9c95b, 0x595058f0,
+    0xcea82b9a, 0xdf793f10, 0x3776e4cd, 0xca21313e, 0xe010e273, 0x389d99b8, 0xe90650cb, 0xeec54aab,
+    0xa8346eb4, 0x1fabc995, 0x137df71c, 0xbf5a157f, 0xd640b4b8, 0xf05ff4eb, 0x345fcc9c, 0x3dbd3f8a,
+    0xfa331315, 0xe7fe0abe, 0x1e3c9343, 0x953bde20, 0xc3e22134, 0xec584302, 0x7aa24ae0, 0xbcd32803,
+    0xe30e84da, 0x9e248228, 0x4d44201d, 0x97048104, 0x10a66c8b, 0xcf67bd1c, 0xa4e60312, 0xb61123f9,
+    0x0b30fe7e, 0x1b7c8ea6, 0x50be331f, 0xa59e6567, 0xf6d4821d, 0x647dd500, 0x1548d7c7, 0x18418a46,
+    0x59318c38, 0x25337ac8, 0x5dca2c83, 0xb4cde893, 0x3abd8e73, 0xb3e2343c, 0x372f6636, 0xee355804,
+    0xc540ab61, 0x4455c6c0, 0x16b7d5d1, 0xf9a837c7, 0x6bf0c55e, 0xf374239d, 0xa72a4403, 0x4409e6b8,
+    0x15ca2a1c, 0x0ec66a54, 0xd4c02531, 0x0f490c15, 0x108871f3, 0x296308e0, 0x89535c47, 0x7e6dc2fa,
+    0xb34d2aa0, 0x3e6a1623, 0xe2c7ca56, 0x7080db17, 0xff7280a5, 0xc136a679, 0x727b7163, 0x4167bee3,
+    0x7e278f16, 0x75d2bdca, 0xf7c7e553, 0x360f5c4e, 0x80f70e10, 0x2becc6d6, 0x28110bf3, 0xbd89faf3,
+    0x608b365d, 0x7e73b05e, 0x16cf121c, 0x7c2de7a1, 0x17b8c10e, 0xdd62cb96, 0xa12ff621, 0x8c124ffb,
+    0xb0daa479, 0xd9a27357, 0x7b2cb9f8, 0xf4011a9b, 0x829b11b8, 0x873f6dfc, 0x48526100, 0x63a53703,
+    0x01ca0097, 0xc8af082a, 0x9c40d993, 0xd32367a5, 0x0f5c001c, 0x80c49bba, 0x5a6cffa9, 0x97cb7ba7,
+    0xc7d133de, 0x8a624d04, 0x81c5c229, 0x47716df0, 0x21df327c, 0x670f8d72, 0x967a2a69, 0x7e0f44d2,
+    0xd83b7d63, 0xf850ea12, 0xa1728037, 0xca46771e, 0x86c9149b, 0x8e175a4c, 0xa7bf941d, 0x9eee48ac,
+    0x344c7cba, 0x25167829, 0x17619714, 0xfba4331c, 0xe6410eea, 0xad2a7f7c, 0x7b0574d1, 0x196d4860,
+    0xedba1c0b, 0x70f91d87, 0x017fd8f8, 0xae9f02f3, 0xed737d59, 0xa7fa4bc5, 0xc8bc6757, 0x423f3b22,
+    0x83c7791a, 0xd181b169, 0xfe66d914, 0x1b925b0b, 0xf03795bd, 0x57ba80a8, 0x8bb3838c, 0x3321e8bb,
+    0x6b4d233a, 0xb4e543b7, 0x7d65b88a, 0xe77a53c9, 0xd43dfa4d, 0x643d2bd1, 0x43cfae85, 0x13b3828c,
+    0x2251bf96, 0x5867155c, 0x6e7e7835, 0xbedd5d60, 0xfbdd61d2, 0x6ff65964, 0x7f547bbd, 0x7bd422de,
+    0x4cb3f007, 0xad90bdf0, 0xcb3bfb9f, 0x307a1a84, 0xa63fb2a4, 0x346a0c89, 0xbe3316f2, 0xd00eb64d,
+    0x12248daa, 0xfe289525, 0xaf90da83, 0x9c209cac, 0xd68e7744, 0xbec158b0, 0x14596279, 0xc83ff84c,
+    0x73a00d4c, 0x25460595, 0x75880ad2, 0xa06eebe5, 0xfd7a3954, 0xee7a9f06, 0xe88d959f, 0xe2c56b38,
+    0xad34cb3d, 0x8e9f58a4, 0x89edaa1d, 0xe4948373, 0x50225aef, 0xfcd6f41d, 0x37978f8a, 0x8654b244,
+    0x01d34030, 0xdd7590f6, 0x5fdd1f1b, 0x6e3318d0, 0x30914d67, 0x9bb57222, 0x08690490, 0x19444300,
+    0x5ecf6e28, 0x3bcd8fe1, 0xa53c15cd, 0x40de2da1, 0xd28882b7, 0x7529bb94, 0x799d367f, 0x119e625a,
+    0x5a1ca094, 0xe33c8a60, 0xfdd54534, 0x23fba3d9, 0x541b9fa5, 0xea94a54d, 0x39f14640, 0x67297aa3,
+    0xa0f5308a, 0x5bf18c43, 0x408e21a1, 0xf0666e7f, 0x44d8f878, 0xb6cb9e5c, 0x1bc5b942, 0xc08e22c2,
+    0xeceb022c, 0x300dab6d, 0xdd91420b, 0x79255c11, 0xc99de36c, 0xd3600331, 0x5c8e352e, 0x892fa2cb,
+    0x696de509, 0xdabb7cdb, 0xe4ad3a4b, 0xc0d42ffe, 0x36d98069, 0x542b8361, 0xa0304b36, 0x006f5f8e,
+    0x14c36117, 0x5321b61a, 0x3f9879f8, 0xd6834a9d, 0xe7fb401b, 0xfc8814d9, 0xd22f5c4d, 0x75307bd7,
+    0xff1ec5ad, 0xb0de151b, 0x7f3d316d, 0x187784bc, 0x199d50f3, 0xbb6abcf1, 0x8fdf4809, 0x11022f51,
+    0x2b961c68, 0xde935001, 0xe311789c, 0x723a7fe4, 0x7400d5c2, 0xe88beb74, 0xa07d9239, 0x28c6e118,
+    0xacba3cac, 0x1d5096d0, 0x8f6f9dcf, 0x65cad477, 0x69b47078, 0x5cc85bd0, 0x25e1b403, 0x0aa5fb1c,
+    0xfd327b04, 0x04c1414b, 0x33da991c, 0x962e4c65, 0x980e1c7a, 0x07f0f695, 0xbba25311, 0x523bb6ac,
+    0x879ab57f, 0x215215c2, 0xbc992877, 0xf8f6abe6, 0xddafa513, 0xe5bb7daf, 0x5b66f6a7, 0xee6f8855,
+    0x9532ea01, 0x36ab6c48, 0xfab73475, 0xba212c83, 0xf3034275, 0x88f4312c, 0xafe3efc8, 0x53353457,
+    0x81f54eab, 0xd76b18f6, 0x75a7d5b0, 0xf8655802, 0x45e10331, 0x56db00e7, 0xfb486476, 0x21544b76,
+    0xc4a30604, 0xeb639e90, 0xdc329ec9, 0x4d63fe0e, 0x4e81bdfc, 0xf430b733, 0xd975e413, 0x7f351553,
+    0x007cc117, 0x62ae6d5d, 0xc0fd0e9b, 0x8b25a043, 0x06957c70, 0x9e24f9fb, 0x5a1570aa, 0x5dfafe3c,
+    0xb627f551, 0x4c69e911, 0x154f0830, 0x0f6add68, 0x6a58003b, 0xeb8897bb, 0x7314f9ac, 0xa6c2f0b5,
+    0xe5624684, 0x32ec6269, 0xf0c5af2b, 0xc00d8969, 0x5b493071, 0x6ca2d6e7, 0xaba3bdd3, 0xcf474ebe,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000699920231930563815799200\
+                          71267763883691301421788582797965624659405118495974380029543152421664737722368 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4,
+    0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d18, 0x7a62f99a, 0xf021622a, 0xe0c5c1da,
+    0x00000000,
+    0x98c492e6, 0x8bf18aa6, 0x4b5da8a8, 0xc0e4c09f, 0x91320ca7, 0x2f27d50e, 0x2ff577b9, 0xc71873cb,
+    0x02114cec, 0xb072129f, 0xff2b8977, 0xdd3d24f6, 0x48223281, 0x0836ebc6, 0xcd84f0ac, 0x0775af98,
+    0x8e5934a9, 0x95979503, 0xb1731ad1, 0x79b47b77, 0xd1963f8a, 0x7b2ee1da, 0x0517df57, 0xf6af8e72,
+    0x278625d4, 0x24c5e2a5, 0x800f6fee, 0x2cb9285a, 0xfd7eff7e, 0xad92295c, 0x65b1525d, 0x1e65c301,
+    0x1c55f8ac, 0xd9b32222, 0x702f6bb2, 0x6fd101c2, 0x884e10b4, 0xff956f5f, 0x79cf023d, 0x774fc130,
+    0x7eb5825d, 0xdf116693, 0xb34867d4, 0x780f7b63, 0xea2bd31b, 0x7b57eacc, 0x45a478c7, 0x2c62f8a0,
+    0x3d3ceacc, 0x3cff1e4f, 0xc89c799a, 0x0d647f54, 0x8c390abd, 0x4cb6da82, 0xe40705d4, 0xfff982f6,
+    0x798642ed, 0xb787bb45, 0xa955ce55, 0x3cd3985a, 0x1f078233, 0x2b953a5e, 0x06793047, 0xdf8a87c8,
+    0xe4713ff4, 0x9c6fd864, 0x0484ce25, 0x0b22c945, 0xfc78c722, 0x74fa168e, 0x526e0ef5, 0x53f3f595,
+    0xcdd1c7b5, 0xe81d53c4, 0xe852a26b, 0xf26f9195, 0x226ac8be, 0x4b4b016c, 0x68ee148d, 0x2127b672,
+    0xbf031ae0, 0x255caa27, 0xe2ed441b, 0x3be7a881, 0xb486d15c, 0x661cf09e, 0xe4ff2d45, 0x76b3d150,
+    0x1766ae92, 0x176c3664, 0xc4178c2d, 0xecd2225f, 0xd9dc376e, 0x6926facc, 0x2e3f31d5, 0xdb7474dd,
+    0x65c0840c, 0xc1526699, 0x036d13e8, 0xb23fa86c, 0x1df6a144, 0xe3e4139a, 0x92e0d204, 0x173626df,
+    0x2edef6b3, 0x7d554efd, 0x421ed2bd, 0x470bef00, 0x04aa8582, 0x4bc9621e, 0x951ac6e1, 0x8183bfc6,
+    0x6000abb9, 0xa2bd4b1e, 0xe440423d, 0xe9a6231e, 0xf821920e, 0x0b834075, 0x798cd86f, 0x1f877de7,
+    0x4c06a39a, 0xf17573d6, 0xb235e40d, 0x6eaf933b, 0x62d82a23, 0x8fad5bc3, 0x766990e6, 0x58857cb7,
+    0xa640f970, 0xda6308ee, 0xaf35abbc, 0x361627f5, 0xf6f2f582, 0x334aa340, 0x5051381c, 0xb7da4880,
+    0xa50af19e, 0x802624e8, 0x3564d6fa, 0x692cbf03, 0x59fddf1d, 0x59174b85, 0x5c751a17, 0x64045330,
+    0x567b0337, 0xfcc09f47, 0x473ad355, 0x5b54edd0, 0x0f80381b, 0x164bb626, 0x7a8e7338, 0x9bb980dd,
+    0x5a4440dd, 0xcc83e52a, 0xfd164755, 0xa7ea267f, 0x831e79e8, 0x0bf5ae50, 0xc0c71999, 0x9789e479,
+    0x8ea2af6d, 0xebedf0a8, 0xac04f898, 0x8bbcaf5f, 0x0a66faa2, 0x7bc2889c, 0x74779baa, 0x89385cae,
+    0x9172db11, 0xe669725a, 0x9f59ead8, 0x9c84c33c, 0x006d49a6, 0xf1a30705, 0x95c99a13, 0x1743e006,
+    0x9fa7e1ec, 0x67c38a60, 0x039a21c7, 0xab125c79, 0xefc3146e, 0x926b3a2b, 0xf3ac9a35, 0x5af39026,
+    0x9c9e397c, 0x88bcc09b, 0xbe3d1c97, 0xbefbc459, 0x0f2eab29, 0x268a20cd, 0x2d680c3d, 0xd5697a2a,
+    0x7f526dea, 0x3ee5f494, 0x62049f10, 0x8ef9a1da, 0xd8c0871e, 0xeecc65cf, 0x3075b04e, 0xe00ead55,
+    0x30ed4f46, 0x4a13ec34, 0xcf9a1547, 0x53f70999, 0x2d6ac7b5, 0x13c72e88, 0x20b4bd31, 0x7aa7b100,
+    0x936929ab, 0xcc47a582, 0x01716a02, 0x05b4d448, 0x63c2be36, 0x52031259, 0x1ee25fc4, 0x328d0ec6,
+    0x7c1f4aad, 0x06219775, 0x39a6d484, 0xa9830335, 0xf62aa608, 0xf68567a0, 0xf1be260a, 0xf91e8a07,
+    0xa2c1487e, 0xf81c7c95, 0x736c9b5a, 0x46731f5e, 0x77d38fa3, 0x1791079d, 0x1aa1ff3e, 0x5f9ea836,
+    0x9c08a0af, 0x12a01308, 0x0347e1af, 0xe5ea621c, 0x23376e82, 0x9ae99443, 0x72df52ec, 0xcbf86d48,
+    0xcaf2b36a, 0x956a8989, 0xd891c11f, 0x554d8724, 0x6f28ccaf, 0xd21efcba, 0x54832111, 0x9a9fca5b,
+    0x75596923, 0x005199d8, 0x58238a69, 0x3f5ab6e9, 0x2f4e8a72, 0xd16dd779, 0xe5636d27, 0xd2ada3c3,
+    0x574bc51e, 0x6fcb81a7, 0x73870766, 0x806341e2, 0x37fe5c6e, 0xca06d158, 0x5a339e78, 0x932e7cf9,
+    0x43acabfc, 0xc38ed6cf, 0x5d5c4687, 0xc4464772, 0x9381ce7f, 0x5fdeb5b0, 0x45016534, 0xd07b701c,
+    0x17e43719, 0x11ff58e9, 0x6a99e766, 0x0186447b, 0x405cbfec, 0xf19eb825, 0x079ad71c, 0xb50250d2,
+    0xb2306d46, 0x7a9bec6c, 0x36ae5246, 0x2a3f0648, 0x20d6d5ea, 0xe7ac8ba8, 0xac76f29c, 0xbc61f06b,
+    0x3242f955, 0xd707994c, 0xd1f28cb3, 0x66fc6ce0, 0x5dc4020d, 0x5cdb99e3, 0x5a6828f3, 0x0b2a680e,
+    0xf359da57, 0xb288717e, 0xf16f962a, 0x4ba47ad9, 0x33f7a6cb, 0x6dd64d72, 0x46b4a6b8, 0xa8e7fa64,
+    0x775de1c6, 0x3bf38977, 0xc83cb8ce, 0xe8e2b28a, 0xb7ed9c04, 0xffb912d3, 0x70254721, 0xeb437db3,
+    0x84982edc, 0x3994bb62, 0x6881e494, 0x9b82ad41, 0x8c6f05f9, 0x6abe6624, 0x0f48b7be, 0x0491c6f9,
+    0x55b2ab01, 0x55147e63, 0x3ddc3d58, 0x4fae6629, 0xb25e3cdf, 0x9c4aa3a2, 0x3a1cd713, 0x835f8fc4,
+    0x2c1fe79a, 0x915a2881, 0x334cb23e, 0xde55b2e0, 0x885f75c0, 0xc2c6e1f7, 0x3e8a04b5, 0x18663a74,
+    0x47c356ef, 0xa6bb09fa, 0xec097340, 0x56b212b6, 0x4193dd0e, 0x841fd2e5, 0xe68efa83, 0xebdea49a,
+    0x714814bd, 0x3b4a0e80, 0x6f881bd1, 0x00145d68, 0xfcfa77cb, 0x09e22e88, 0xc7c5e3a5, 0x53a79c66,
+    0x8fe292a8, 0xea550320, 0x815377ab, 0x34b0a626, 0xf5165fdd, 0x708b6ff9, 0x3cae0b47, 0x5dec5aab,
+    0xe73c8a63, 0xcdb9f6ff, 0x7649b84c, 0x08513220, 0x7f798c00, 0x5cfb2a9f, 0x504d382f, 0x5019b957,
+    0xc6e574b6, 0xd12c3cd9, 0x311a6783, 0x8f255634, 0x3c74453c, 0x611e4522, 0x47aae7be, 0x0b551929,
+    0xe8b7f228, 0x1cd94125, 0x669124c1, 0xb0fb03b5, 0x6d2d66f9, 0xc94d6e24, 0xa82c4570, 0xa863b4fc,
+    0xf7ea0e98, 0xcb30b11a, 0x435710f4, 0xd8a0ddbd, 0x5a56bb15, 0x70cb8ea1, 0x2cc16b14, 0x1718b9fa,
+    0x0e88e30e, 0x1495f8a0, 0x584552ef, 0x25e4dc91, 0xd1430b64, 0xcab53ca1, 0xea3d3d85, 0xe7d453f5,
+    0x065a4090, 0xc70e59ee, 0x2d54d30a, 0x2714634b, 0x75e43059, 0xda3795a0, 0xc287a078, 0xf11ea782,
+    0x181b6f4d, 0x82b28909, 0x55ec05b6, 0x426157a6, 0x9c9ffecd, 0x9d4064b7, 0x586ddbdc, 0x108257bc,
+    0x9198e325, 0x021e5a94, 0x3ff3c34e, 0xc0c3ead9, 0xba513d92, 0x131b4218, 0x8e2ee211, 0x595cfa6c,
+    0x371f3ea4, 0xe69bd14f, 0xb79f453b, 0x35755966, 0x4fc2c19b, 0x6b6c5a91, 0x9162b698, 0x9db803e0,
+    0x50fbf2e1, 0xff454f0e, 0x2d324181, 0xc8a349ba, 0x967d3645, 0x61bee047, 0xdde6af6e, 0xf1fbc3cf,
+    0x4572c9a5, 0x655a42a8, 0xbaa1fc13, 0xae13a43c, 0xf056da8e, 0x611e63e6, 0x3b154a8b, 0x4b7f31eb,
+    0xc9b17580, 0x75443166, 0x586eb402, 0x8824cfe2, 0x6e503dcd, 0xf963b3ac, 0xa17ff893, 0x03519369,
+    0x7b418f7b, 0xb68ce2f5, 0x4d7e6a69, 0xee34f92e, 0x30dc1461, 0x4df6e66d, 0x7b14a60b, 0x0b6b58da,
+    0x2017d067, 0xd2151ccc, 0x652dab05, 0x53093af1, 0xad5e0bfc, 0x0bcefac1, 0x8d42754e, 0x9c2c75a2,
+    0x77b24ce9, 0x265e9444, 0xd863c0ca, 0xb848128f, 0x5ceeff96, 0xd2c48a7c, 0x50352160, 0xf4ebf3b9,
+    0x9af79c19, 0x15dad512, 0x34d3f412, 0xf8713595, 0x528f0b98, 0x4ebf749c, 0xae61826a, 0x42e9f995,
+    0xc32448e3, 0xb9c438a8, 0x5c95d095, 0xeb71178b, 0xe9bf0d0c, 0x54fbef95, 0x002eabc4, 0xa253fa63,
+    0x5c2c2b84, 0x59ac8d46, 0x561efec7, 0x6d83658b, 0xb4f46c3e, 0xba95581b, 0xeafa13b7, 0xafc46639,
+    0xcf76b7b5, 0x8abecf41, 0xde79cdb4, 0x7c8ef130, 0x62655735, 0xc34d5596, 0x510643e0, 0xf3650836,
+    0x4e92b0ec, 0xeeb4eb0a, 0xf92fccbb, 0xa30d4c9e, 0x112702bc, 0xd4118207, 0xd9a90b0b, 0xbdb44a27,
+    0x6c8ca4a4, 0x3653cd69, 0xca67d494, 0x7e17bdd8, 0x74f26c3d, 0x7183dc85, 0xaad5f5bd, 0xc05a17bd,
+    0x8fac49ec, 0x7a0bf68e, 0x05cc9242, 0x132c77f6, 0x909fe9f2, 0x86ad9fff, 0xf87c12e1, 0x4b0afbac,
+    0x81cea02b, 0x52957762, 0xd233f8ba, 0x94a6a224, 0x02181b1a, 0xa2badb7d, 0x3cb8a0ce, 0x8f266e8b,
+    0x8a9180f1, 0xe8ce02d5, 0x605bdbb7, 0x3592366c, 0x548b39b7, 0x16795c79, 0x289bf788, 0x721469f0,
+    0x7cce98ba, 0x943739f5, 0xb9affa21, 0x48780037, 0x0bfa0c41, 0x875f7aed, 0x3cfd3890, 0x8fe44a7c,
+    0xdc9fc584, 0x90090e9a, 0x5140eeef, 0xf2923e88, 0xd17d2fd8, 0x9cd2f5ac, 0x21b02e8b, 0x08f96142,
+    0x57ceef8a, 0x316a7b68, 0xebf8120b, 0x8677986d, 0xdf77ad09, 0xdd361ae2, 0xfdc6af5a, 0xec2ee438,
+    0x34918e4d, 0x649967ea, 0x94073de3, 0x26aedeb4, 0xa81553bb, 0xe20f1828, 0x0156e2d3, 0xf01e6c2f,
+    0xc8182b55, 0xff9141a0, 0x7a37e60f, 0x1d21b1ca, 0x7740e53e, 0xcb280f4e, 0x11707886, 0x9497ba97,
+    0x67df5c66, 0x0058c2cb, 0xe8fe4385, 0xcc9baa44, 0xa88592b6, 0xbf649935, 0x3e0bf663, 0x863a995e,
+    0x269b46d6, 0xd7b3efc4, 0xc4eb4423, 0x10709a99, 0xf319161f, 0xd7a311e4, 0xa8962e32, 0x3d82a964,
+    0xb042a143, 0x5163550b, 0xd8459dc9, 0x511e8184, 0x564f1123, 0x02ff6027, 0x6d33b176, 0x7c5bc429,
+    0xf7f565b9, 0xdec3909b, 0x1dee33ec, 0x6925d226, 0xc0b24c4e, 0x97fd855a, 0x8fe7d8ac, 0x57bcaa13,
+    0xb33bbcad, 0x9632ed77, 0xb051dff4, 0x1b54523e, 0x7c9d98c7, 0x02915326, 0xb1960f72, 0x8726e793,
+    0x04218956, 0xbf55c5d8, 0x76490745, 0xa6fd33c5, 0xa9971de8, 0x301713e7, 0xf279b1b4, 0xc7b764e7,
+    0x2b8f3dd4, 0xd2cb47f3, 0x47a92da0, 0x5e3c7959, 0xdcaffd73, 0x13484a28, 0xaea90dff, 0xc4da677a,
+    0x7784df10, 0x05cc581e, 0x0285723a, 0x70a97c5f, 0x2b06d707, 0x39afd5ee, 0xbcfb71a7, 0x28fd8ad2,
+    0xe8ef314d, 0x09e5ade9, 0x403d427a, 0x7b4a89ad, 0x76b46ed0, 0xe3f93d56, 0x33e1085e, 0x28c3fe3a,
+    0x944c97ec, 0x113207fa, 0x80b44072, 0x00addac1, 0x2fe23f60, 0xfeff5093, 0x6a99e2ab, 0x35db21d2,
+    0x4acc5080, 0xb6accfdf, 0x14fe29cd, 0x59b7616b, 0xd7d32c79, 0x162af279, 0x67dcb421, 0x19cd26cb,
+    0x2dc22a84, 0x9bbed348, 0x8b6fa028, 0x638c8af7, 0x297da5d0, 0x136db83a, 0xc59b6d5b, 0x666b1056,
+    0x265e2a79, 0x02da2303, 0x43c34d9c, 0x4ed5a5dc, 0x47de612a, 0x1f011919, 0xa157f925, 0x21df8ad8,
+    0x19cfdf74, 0xa21246fd, 0x0642f201, 0x657704e7, 0x94296102, 0x11fefe03, 0x29170a2c, 0x89fbba67,
+    0x1e7e1703, 0x03021ef2, 0xc9ecf150, 0x073642b3, 0xea0ace7f, 0x2a8ea300, 0xa22bde8a, 0xc5f10c42,
+    0x89e7fb08, 0xed7bc30c, 0x668902e5, 0x0856310a, 0x2847193f, 0x08a29a12, 0x31a9fd34, 0x80f6e5b2,
+    0x416a8574, 0x8ea0bea0, 0xb78c19b1, 0xa3258207, 0x1272c0a0, 0xae7db629, 0xea79e482, 0x1c271e39,
+    0x183d7831, 0x62b5db0d, 0x8755fcd8, 0x1de469a0, 0x7701a383, 0x7bc8e034, 0x6f056ed4, 0x93f18c8c,
+    0xccd8d270, 0x324872a7, 0x0d588c1a, 0xdea193d7, 0x52b59335, 0xde37d690, 0x5d3ae0b2, 0x706a3e92,
+    0x02288368, 0x22c8311a, 0xe2f32b63, 0xfc2bf6ac, 0x1964fe01, 0x2e303a54, 0x085659f6, 0x4e5be691,
+    0x131c9086, 0xb47b217a, 0xbb581dad, 0x5d2a3e70, 0x3e012830, 0xa131115b, 0x06918f96, 0x177f03c4,
+    0x52b86955, 0x85990d6c, 0xf7fe33d0, 0xef86546b, 0x274bd4ed, 0xcb87a53c, 0x70716692, 0x7b4814e5,
+    0x3c01870b, 0x051753ff, 0x578bbbb5, 0x3b54440a, 0x60ad4a85, 0x64c9d573, 0xddd796f4, 0xbfaf1053,
+    0x1c5a3493, 0x3696dcc6, 0x56a5dba7, 0x3ab91a3b, 0xb7f8beac, 0xc942cc75, 0xca10a599, 0xaade8319,
+    0x917f95b5, 0x6f365555, 0x8335ad87, 0x255fc632, 0x9d94ac61, 0x4a620b71, 0x2a25a4ae, 0xcee238d8,
+    0x2f968c43, 0x9bd28d72, 0xf3d80955, 0x21772f97, 0x48322fc9, 0xb0c76651, 0x7ec6d83d, 0xc17d463b,
+    0xf5a48a46, 0x73e66cb4, 0x0892e0cd, 0x074339e4, 0xe9732544, 0x4fa24cc4, 0xcc3c5571, 0x9dd32792,
+    0xc763795e, 0xde0cfcc6, 0xf3333403, 0xfed1f184, 0xc5c5a557, 0x11d8785e, 0x7e3a1f2d, 0x4f721e3f,
+    0x3056bad0, 0x6ae96bb2, 0xa46e574f, 0x063424b8, 0xf7a05f28, 0x8e7b2880, 0x991da6b9, 0xc75c8c51,
+    0x201ab16a, 0xa66d8ced, 0xfe138c96, 0x779f53bc, 0x4990423e, 0x3f8c3bf0, 0xe6b14754, 0x578f6303,
+    0xb6806406, 0x53be109d, 0xb015a182, 0x838dc406, 0xd2032993, 0xbd401e69, 0x1ebb88e6, 0xa7729afb,
+    0x43676a11, 0x13317867, 0x9d775843, 0xcd88ec93, 0x8fcbc830, 0x0124cdf6, 0x6ec50696, 0xfe09a189,
+    0x426367d2, 0x44047229, 0x7d8584b8, 0xb26f5ac8, 0xbdb5c85a, 0x58d42c11, 0x342a03db, 0x4ee01cb0,
+    0x5a319781, 0x12abd271, 0x3d94a40a, 0xcfcbb280, 0x8b95fb9e, 0x60443630, 0xd1a6add6, 0x07113679,
+    0xeda14626, 0xd60163a3, 0x6ec019ff, 0x25140204, 0x7475c2d9, 0x31c1bc6e, 0x03941b66, 0x5a7818f5,
+    0x5b6092d0, 0x9850f0d3, 0x78b7006d, 0x6c6dfc2f, 0xacc97d8a, 0x7311a1fa, 0x19a37c78, 0x620da8cf,
+    0x041b491c, 0x72f803d3, 0x60cc59f7, 0x034353a9, 0x62a66b3a, 0xe604e357, 0xe1e213d3, 0xbe483706,
+    0x4c81b7a1, 0x196c404a, 0x271bcaf7, 0x5636c94f, 0x34c1ef2f, 0x620537ed, 0xfa7e60b9, 0x12088e19,
+    0xe2489b55, 0x573c8ec7, 0x89b9a01e, 0xfda27807, 0x55e35e4a, 0xe875559f, 0xf1947a3b, 0xde46651f,
+    0xd5742391, 0x37656a3c, 0x6aa6f8b3, 0x2cbea688, 0x20d8a247, 0xc7f25af7, 0xe9207790, 0x70c118f7,
+    0xdc35c9e1, 0x7b774b5f, 0xbaeeae8f, 0x8e7e55ae, 0x262628df, 0x6f661f18, 0x5b5fb2d6, 0xb754db6a,
+    0xb0db49d4, 0x071c50be, 0x5dbb64ca, 0xa5d04264, 0x6cb2524b, 0x11171ec0, 0x636b7143, 0x74db1109,
+    0x7b8985ae, 0x76fe8b35, 0x326c1249, 0xa605f4f5, 0x934f1b94, 0x541246f7, 0xf868a84f, 0x0e4c5a9a,
+    0x791ba9db, 0x62baba5d, 0x5c0933f0, 0x8998aa71, 0xb01c9ca4, 0x834218b5, 0x331693d3, 0x566f6682,
+    0xe1ead181, 0xb9892fba, 0x08ee1717, 0xefea8f82, 0x009c3620, 0xeda7e006, 0x3016835f, 0xb6e90136,
+    0xea630a8e, 0x751fbbd9, 0xfa1a5378, 0x917857f9, 0x796ad202, 0x8e4db687, 0x827649ef, 0x0acec2b8,
+    0xf50105a7, 0xdff736d5, 0x2c8c39ad, 0x0737604e, 0x71568568, 0x5e9d078b, 0x49b06732, 0xaa6536f2,
+    0x355252a6, 0x349549f6, 0x41e56f86, 0xdac96bb5, 0x2ef73168, 0x5a2955e1, 0x1fc164b3, 0x9d5e0edc,
+    0xc03ce309, 0xc1df8457, 0xb659b966, 0x973d71fa, 0x6fe53e51, 0x96555477, 0x27fb572e, 0x7edbd0f5,
+    0x3e98cfb2, 0x384201ae, 0x0c970273, 0x83bdb2b0, 0x27ac35e0, 0xcf8c8370, 0x89e8873c, 0x8a3c68c8,
+    0xc3feb674, 0xbfdc6325, 0xa5a3da1a, 0x09e50f22, 0x4b5a7516, 0xc1d8c9b7, 0x23590f52, 0x6624cf9b,
+    0xd88d3c3b, 0xdabbadbd, 0xacb913d1, 0x68ac66e5, 0xa7b9e2b7, 0x4e650059, 0xc598e2b3, 0xd750cdaa,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000349960115965281907899600\
+                          35633881941845650710894291398982812329702559247987190014771576210832368861184 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a,
+    0x04805928, 0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8c, 0x3d317ccd, 0x7810b115, 0x7062e0ec,
+    0x00000000,
+    0xc5c245d4, 0x3b47371b, 0x6311e99b, 0x1af67faa, 0x0dea39a0, 0x6dab93b1, 0xf181c6a0, 0x69751700,
+    0x9e6dfe45, 0xb7f95895, 0xf4ca93a8, 0xb2d5a95b, 0x11b3fde3, 0xae83df1a, 0xa4a7e6bc, 0xffad43ba,
+    0x26b17549, 0x1883278f, 0x47c97fbc, 0x1c302c59, 0x3f0cd9e9, 0x0dda0410, 0xf4637d20, 0x42a14af7,
+    0xb02ccdbb, 0x36e773f1, 0x6f93e2b3, 0x1f0316c7, 0x6294e23b, 0x69abe31f, 0xbb1b30fa, 0xa62ff054,
+    0xc7356662, 0xbd7244f0, 0x9f212af9, 0x467cfb71, 0xe1e6c085, 0x6b34ac41, 0x0f68d4f0, 0x6e32537a,
+    0x9c2fe721, 0xbea70c2a, 0x88089c2d, 0xa0462c35, 0xc75dfca8, 0x89b5cafb, 0xc0e55ce8, 0xe85bab9a,
+    0x37f8d9d3, 0x35320da9, 0xf14de170, 0xe6a354bd, 0xba7c1682, 0x2a1beb2b, 0x02a11842, 0x9b18bd17,
+    0xf9f586d5, 0xf5822df9, 0xa9f4030e, 0x3661b9f9, 0x784cef39, 0xc9ef47df, 0xf323c54e, 0xd451be4f,
+    0x9274a7f8, 0x63933f09, 0x5023af00, 0x914fd447, 0xcd0380c1, 0xd28d3cb7, 0x8dce45fb, 0xb8b34320,
+    0x7e11e99b, 0x5e9acaea, 0x12df6dc7, 0x20ecc3e7, 0x6624fec3, 0xd2b01474, 0xd1aca16c, 0x4008b3a1,
+    0x23d9f079, 0xb7b6cfb7, 0x0c6141da, 0x3fa978bf, 0xe03eef12, 0x925c28e4, 0x572c2fb6, 0x37c2d02e,
+    0xb359b1d4, 0xa9c94cf0, 0x73186910, 0xe03ddc56, 0xb77a9b18, 0x346453ef, 0x8e05c801, 0x70de92ee,
+    0x889a7bf6, 0x4c53a1a3, 0x29f8a6ab, 0x6485d420, 0xda22df03, 0x3c3b71c4, 0x1f9d8b88, 0x0357d3e8,
+    0xc0b66e50, 0x3d83be11, 0x13ab4103, 0x2deca77c, 0x3ba0857f, 0xcbae5a53, 0x80719c8e, 0xb171a960,
+    0x3688183e, 0xea017119, 0xf1f77560, 0x37f40c40, 0x86861de6, 0x7e79c2a1, 0xf9316b38, 0x2ec1006f,
+    0x55d12466, 0x2d40aa78, 0xd45e37c0, 0x389ce8f7, 0x7e581a1e, 0xa84c7650, 0xd4b18cc5, 0x6d9e3f7c,
+    0x53752e06, 0xa93f21de, 0x8d4cc1ae, 0x68588202, 0x68ed6fd0, 0xce581084, 0xf3451c13, 0x063b55d4,
+    0x896b80c0, 0x1dbe0746, 0x49a42a99, 0xde5da118, 0x50111108, 0xaab081b5, 0x39b05f0a, 0xd24aa7db,
+    0x9221d3b3, 0x5f992b83, 0x1ff9eda7, 0x75177d9d, 0x5b9454ae, 0xe9ccd6cb, 0x81e0988e, 0x46bd6e64,
+    0xfd28a9a9, 0xce84d6a4, 0x86cd4226, 0x697106a3, 0x3b5a3619, 0xb9615db3, 0xde4e7072, 0x13752ca7,
+    0x4de08ca5, 0x82074cd2, 0x33c2e2c1, 0xf76869c8, 0xa425e6b0, 0x599d133a, 0xe16e0a5f, 0xfc331166,
+    0x4563c5e1, 0x465314da, 0xc127393c, 0x48ce86a4, 0xe8b6b327, 0x65a02f4c, 0xdbf3b7d3, 0x1de5fbbf,
+    0xa5188aad, 0xb5f4822f, 0xf8965642, 0x3a6fd07d, 0x2458ef6d, 0xe9019b33, 0xa6d0b0b1, 0x49f3b656,
+    0x1b57e7cf, 0xa6078c73, 0xfe3fc5c8, 0x47dc417e, 0x64665d86, 0x0568e022, 0x74d060d9, 0xf03c98be,
+    0xd2657991, 0x6a26dd4c, 0x28eec25d, 0x86632727, 0x1cebf159, 0x5c9e13b9, 0xed672459, 0x2962caa8,
+    0x056df232, 0x714738de, 0xa597da00, 0x8e69bdba, 0x1f977a28, 0xed555d1d, 0xbcb1eff7, 0x43af071e,
+    0x30d2a7ce, 0x64b49614, 0x83f2c837, 0x129331c5, 0x726ba884, 0x139d96f6, 0x20f29a34, 0xd4ff4f08,
+    0x26ecb5a0, 0x16cf8202, 0x05025e7c, 0xe33c7750, 0x1399964a, 0x1eee465b, 0xf009f583, 0x9b6c712d,
+    0xff4dbff0, 0xc119d91c, 0x6ed77a9c, 0x6613716d, 0x33da2839, 0x96ac4ac6, 0x19f6abfb, 0xa6a7f068,
+    0x32ae2bec, 0xf8015d8f, 0xe7e140c0, 0xa3064d20, 0xc20197d1, 0x698a9254, 0x73a58133, 0x5c4d37f9,
+    0xeca5aaa7, 0xabed4f4d, 0xdb0d5852, 0xc13e3895, 0xf43b3684, 0x18841fb8, 0xa3a9c67c, 0x0c1e6393,
+    0x89732efd, 0x27b8b08c, 0x857a5a6b, 0x6e8a8ba9, 0x23633070, 0xe203618e, 0x9364780c, 0xf41d4399,
+    0x54330cc9, 0xc02a0adf, 0x3f0c7a11, 0x183ea963, 0x809b8494, 0x3deb2128, 0x6e5d4f91, 0xabc66fc0,
+    0x0d969159, 0x2c8e2ebd, 0x0d2a8c42, 0xeb397f27, 0x74751d23, 0xf78650df, 0xf2c3da48, 0x78998308,
+    0xc2c43f1a, 0xad961af7, 0x093dc11d, 0x8bab80d5, 0x78e2f488, 0x924b0f2f, 0x4022fa02, 0xad60b52d,
+    0xd7acc866, 0x9b14c9c6, 0xe29e3146, 0x234fb58a, 0x20522554, 0x83170988, 0x0283e2e4, 0x30c4c0c0,
+    0x67e9b32b, 0xea295677, 0x6e58fbf2, 0xa4be1878, 0x051b5124, 0xc95b4fa8, 0xdf55b4c8, 0x5e4ab8e5,
+    0xffc6ef8f, 0x0e05b353, 0x8f9928e6, 0xbe4e6732, 0x98dd34ee, 0x44540c75, 0xc2847770, 0x84ef5642,
+    0xb5a352ba, 0xfdec205f, 0xf8e50d81, 0x3f311cb0, 0xdcd9b119, 0x08843f98, 0x3521ec68, 0x6e7baab8,
+    0x70cc6a24, 0xf0d8012a, 0xd9d871aa, 0xa14b12c4, 0xac55cbc7, 0xa4b9b97d, 0x291130f2, 0x515592ff,
+    0x28c71749, 0xc751a527, 0x6f9c625b, 0x8b459b5f, 0xa68604f3, 0x8d468bc1, 0x3834edde, 0x742fe9e5,
+    0x57b7315d, 0xecd83585, 0x94d09ffa, 0x4060010f, 0x07bec76c, 0x99d86040, 0x883389ca, 0x27d83d7d,
+    0x5a7fb6cb, 0x6bb1b144, 0x5d8544ad, 0xdb14daea, 0xd0e489b9, 0xbea8fd33, 0x61a037c6, 0x66176344,
+    0x834f8533, 0x25378394, 0x45b0af42, 0xc6337a33, 0xf3d3ef7f, 0x2af097df, 0x69bc9991, 0x99f5af93,
+    0x15d1ccba, 0x0958fc82, 0x8f1ff39e, 0x72109516, 0x2f1fdfb0, 0x6d2093b8, 0x5706d157, 0x8d470a8f,
+    0x32b11c25, 0xc544429c, 0x7fbf78a7, 0x995aa3b3, 0x17767a01, 0xf74302bd, 0xce7813a6, 0xa7e8489d,
+    0xdfa5e776, 0x4c7bb86e, 0x11652f6e, 0x916466e3, 0x2375a373, 0xd2ce20ca, 0x15acbacb, 0x0685c626,
+    0x2c64830e, 0xa6890ab2, 0x046e1d44, 0x94ec89b8, 0xad38549d, 0x138314c4, 0xdfee270a, 0x2365dc9a,
+    0x4b64a946, 0x51b30895, 0xffdeefb7, 0xe7fb97ea, 0x3b7d9b07, 0xc5c28eab, 0xb76df50a, 0x9892e9d3,
+    0x8991ae87, 0xcd2993a3, 0xc2cce658, 0x18f9130f, 0x8aa738df, 0xc2d5be9b, 0xef2eb834, 0xc5523bc5,
+    0x8cb94101, 0xfb3f9bf9, 0x66aae931, 0xbb7394aa, 0xe041f1d6, 0xb2963a83, 0xc6cf3ec2, 0x022ffe27,
+    0x065f4bc4, 0x954bc8d1, 0x0ed36823, 0x83ea9a13, 0x06056faa, 0x2e8839aa, 0xa742e271, 0x66f559f7,
+    0xad9bf2da, 0xdc1b95fe, 0x997cbc7a, 0x8a6fdf64, 0xe8ef2440, 0x5267cbc4, 0x0cfcc4c8, 0xae854238,
+    0x06c75d15, 0x61f81557, 0xe78d61b3, 0x5fa16eaf, 0x2d57b734, 0xda7da369, 0xc4ac97c1, 0x7d4021fb,
+    0xa4cec3c6, 0x0fc6a6ae, 0x6217e4de, 0xeb8a6738, 0xa89930c4, 0x3ae14674, 0x5683cb13, 0xbbb9d539,
+    0xaedd3b8c, 0xd6b85146, 0xb42c5b21, 0x5f02fe69, 0x679b7e41, 0x5ef1d2f4, 0x8080fd28, 0xeae5d97c,
+    0x11a5c142, 0x325a6216, 0x3ccda581, 0x124ace51, 0xe1507db2, 0x79456bf3, 0x45ba65af, 0x7d16cb6e,
+    0xe3d4798b, 0xa5f558b9, 0x891139cf, 0x5b6094f4, 0x671b34e0, 0x2682121c, 0xe578a1e8, 0x51c274e4,
+    0xf8d55ede, 0xb963b479, 0xbf5dcfad, 0x086adce5, 0xbe9ebd9b, 0x1779b523, 0x066b28aa, 0xc8b3a625,
+    0x9ff19ccc, 0x8fea93f3, 0x37015b5a, 0xf4da4c3a, 0xf4c9f2fe, 0x137ac272, 0x36f6844e, 0xacfb1254,
+    0x593b89b3, 0x608dfa4f, 0x7b361510, 0xc469f93e, 0xc389e425, 0x595cd5a5, 0xac61cc40, 0x950d23b8,
+    0x38764927, 0x735d6f21, 0x6bfe6028, 0x08daa50e, 0xd455df14, 0xd864aa76, 0xf0fee30d, 0xf1a83b90,
+    0xaa869713, 0xc823c820, 0x971cff2d, 0x5b4551b9, 0x51a2c7e0, 0xb9b25afb, 0x5c3121b1, 0x059d031d,
+    0x8dea6bd2, 0xd2e5858f, 0xdbceb50e, 0xf42727f8, 0xd19085dc, 0x610ed4dc, 0x70002b10, 0xcaf5bb2d,
+    0x27c52652, 0x84ce20f2, 0x7ff62f4f, 0xe975becc, 0x47ded6a8, 0x33669c72, 0xebd5db37, 0x1cd03c6c,
+    0x2c979b17, 0x66cfd364, 0x49ccb013, 0x2c9357c0, 0x2a7673c9, 0xa1f636cb, 0x6eca38fd, 0xe00beea3,
+    0x4b320483, 0x528c51b3, 0x2cf47ca5, 0xc13f186b, 0x81d5b19b, 0x7cce8356, 0x2df5e8a3, 0x67a17f70,
+    0xeb72283f, 0x912574d7, 0x5ce88748, 0xfdb65acb, 0xb9a91aba, 0x60de40a9, 0xe97cade7, 0xe56d0d29,
+    0x6049b5af, 0x6701c8f0, 0xdaec8e80, 0x2f9a35c0, 0x1463ba51, 0xcaeb814b, 0x190d654d, 0x40ceeba9,
+    0x7e8648f3, 0x1c9b2cf3, 0x4505ff0c, 0xec5f389c, 0xb21eb087, 0xfba9dfee, 0x299e6eeb, 0xb45d1f68,
+    0xd48d6342, 0xbd9d9d92, 0xa1260f3e, 0x3fa67157, 0xa186d15d, 0x6e201dfe, 0x8af0a169, 0x36b47ff5,
+    0xd51b8e9e, 0x60cd3ecd, 0xad84f475, 0xe894a8cf, 0x01736031, 0xfc40e5ac, 0xcbccd4ec, 0x7cd9f58d,
+    0x146a9f56, 0xb252a1d9, 0x024276cb, 0x8d8cdd52, 0xe29fb21a, 0xda9a23ff, 0x3189467e, 0x585fb0a6,
+    0xb43e2e01, 0x0c44f199, 0x515eb6cd, 0x5daa440b, 0xe62a84b4, 0x5afdc20c, 0xd7aa23dd, 0x10489b7b,
+    0x9ee99b7b, 0x8a8233f3, 0xd09a2a20, 0xd88ebee2, 0x82e51fdd, 0x4aefaa17, 0xec082b7e, 0x1a3c15de,
+    0x7a984c07, 0x25c23439, 0x6aa6b5da, 0x3f3fca66, 0x93d1a750, 0xc3614d45, 0x9ee9eaff, 0xb36dc2d6,
+    0x2277bbc0, 0x19aded11, 0xb677940e, 0x4d46531e, 0xb53ada25, 0x029242c3, 0x6dbf182c, 0x73323d43,
+    0x1ce359c1, 0xebd57f0c, 0xfd8c1877, 0x8ba58a99, 0x772caa2b, 0x078c7646, 0xcaf9af5a, 0x62f3dff5,
+    0x7f35571b, 0x2484a5cf, 0x18eea3a9, 0xdbe77d32, 0x0e02f2cd, 0x002b3028, 0x197e276d, 0xfcedd517,
+    0x20952a5c, 0xb406eec6, 0xd3f6e614, 0x3f3bb1f7, 0x5be13f5b, 0xad6c2152, 0x59c09425, 0x8d3d2e0f,
+    0x7e875eda, 0xc26b2864, 0x63ac0d5a, 0x0a0e7814, 0x4b60658d, 0x862ea81f, 0x3c3bf151, 0xfc32355a,
+    0x2381754c, 0x32e361f2, 0x5f3630e4, 0xd0ec1201, 0x56157da5, 0x2241a284, 0xf008e938, 0x5428de4f,
+    0x2918d49c, 0x7a8015d8, 0xd240fa7f, 0x0dba8b3f, 0x30545a30, 0x769aeeee, 0x29ca0471, 0x4609643b,
+    0xab072471, 0x43a899ec, 0x61e4f770, 0x9186aabf, 0xc09eb333, 0x35c52f32, 0x491e155c, 0xfc71fd86,
+    0xc3e5c11a, 0x682c166f, 0x9d894bb9, 0xe4478244, 0x7f0e273a, 0x7f69c942, 0x55c6443f, 0xa36bc2b5,
+    0xfd4f39f2, 0xbc1f9af9, 0xc913f995, 0x4fe10ca9, 0xc56834a2, 0x207067e4, 0xffd3deac, 0x9756a6a7,
+    0x902854c1, 0x19798797, 0xfd91c057, 0xecd7a2eb, 0x6e0b4156, 0x6de2e720, 0x1bb8a705, 0xf9cdbf32,
+    0x86d89648, 0x5424ec27, 0xfccb8f18, 0x9bddd32f, 0x815efaa3, 0xe12edb08, 0x62748263, 0x530b9df6,
+    0x002341bc, 0xeebf975a, 0x2cf1bcb5, 0x520c72cc, 0x02de39a4, 0x6a668629, 0xc14a9395, 0xd84f808b,
+    0xf91f1b08, 0xdd183d53, 0x00005ecf, 0xa92fd594, 0xc019ea54, 0x50af4bf7, 0xedc8c0e1, 0xd11a0b18,
+    0x5a37a619, 0x0c224db8, 0x132fe828, 0x784f1f91, 0x30b69727, 0xe0e06889, 0x9adb1638, 0x44961484,
+    0xd661e3dc, 0x2fde85c4, 0xfc7fa297, 0x46a5eb12, 0xe187630f, 0x7f72fed0, 0x6f0e6dc0, 0x13fe50e5,
+    0x68685ecf, 0xded2884a, 0x0d8c1e25, 0x9595415c, 0xda1044fd, 0x3ed7a284, 0xecaa9736, 0x372ef121,
+    0xf12657e6, 0x47e049ba, 0xc63e7b9c, 0xd767b4a4, 0xf269f7d1, 0x0b581ac2, 0xa1d9b0ee, 0x5a0c2f44,
+    0x095f9a62, 0x9d547c95, 0xd0f5fdde, 0xb55ce4fd, 0x9d74cd61, 0x55062f00, 0xb02bf0c9, 0x88d8cc88,
+    0x8427e8e2, 0xdea0a2c3, 0x7c851e1c, 0x3ec068d9, 0x62902c88, 0xeb175a82, 0xcb662312, 0x3dac80df,
+    0xe992aea4, 0xcf17d2b3, 0xb5353654, 0x1cca55cd, 0xce6fbc40, 0x0d29f9a9, 0x5aa72b33, 0xf16d37c2,
+    0xc31f3cf7, 0x54a58f32, 0xc3e6c6fd, 0x7d50d132, 0x58a4236a, 0x901759e2, 0xa405d5c4, 0xf6c29cc8,
+    0x110990bf, 0xe70defaa, 0x6e37a251, 0xe3831a9b, 0x564ea2df, 0xeefac2ad, 0x31709d1c, 0x00ecbf30,
+    0x4ce7295e, 0x1555791e, 0x1b9d6592, 0x7eef793f, 0x989846d5, 0x5bd7e6a4, 0x0d340eae, 0xd24c6c96,
+    0xfdc2a39a, 0xfbbb946f, 0xcecf2cb6, 0x069e9c0e, 0x669e179e, 0x07a7084d, 0x743c2b27, 0x4d38d194,
+    0xb6bc8069, 0x02837e4e, 0x8562bc1b, 0x91043f27, 0x16c9a224, 0x4a92ecba, 0xdc5e6dfc, 0x77bb48c8,
+    0x5bfc2fdb, 0xc487d13a, 0xa5a4f917, 0x2d6641b0, 0x41479f4d, 0x192f0a82, 0x29a8d20f, 0xbadeb96e,
+    0x88c217dc, 0x2c1be14d, 0xc6fa41fe, 0x5d9a0629, 0x2d93baa8, 0x2bd37e13, 0x3ba07b3f, 0xe1a2f7b8,
+    0x315ab67f, 0x26a15d4d, 0x77353dd2, 0xe61f9e88, 0xfaa709f8, 0xd497499b, 0xb7405e69, 0x01dde1ec,
+    0x65448eff, 0x4d9cb60b, 0x1a834b83, 0x9cb1d742, 0x2c773b69, 0xe83048b2, 0x161bf63a, 0xb3a77d07,
+    0xe91791cb, 0x1a3def00, 0x05bfd63b, 0x991c3659, 0x94971822, 0x5d31d900, 0xb0e9e412, 0xd6416565,
+    0xce7a49b1, 0xc39b9112, 0x9798f35a, 0x5e5e223f, 0x9c451c9a, 0x427bb4e4, 0xd7514966, 0xc9d2b474,
+    0x836545ac, 0x799e49d7, 0xf2d255e0, 0xb1587581, 0x038a4548, 0xad516490, 0x6e562cb7, 0xec50688f,
+    0xfaf754d7, 0xa98f35d8, 0xd42733ba, 0x855025a3, 0xb43f8b14, 0x176c4cb9, 0xa27c7ba6, 0xc2abad3f,
+    0x51903fc0, 0x37f5c1a1, 0x8921f7cc, 0x6b349c99, 0x03ee3579, 0xd5577a54, 0xf7744d43, 0x7ed1bb4d,
+    0x810d10de, 0xf6eafe1f, 0x96b9188d, 0x9d4ee4dc, 0xe32e1e19, 0x7c495e36, 0x75be1a04, 0xd1355cb4,
+    0x13f36738, 0x967123e0, 0x82034c2b, 0x14a454e4, 0x1c5f83ed, 0x488dae44, 0x4c6a3158, 0x70b52b60,
+    0xec34bfbe, 0x2d947edb, 0xea795bee, 0x24e0f1ee, 0x6ade2fb7, 0x995a0183, 0x473c580b, 0x7818878d,
+    0xb52430d5, 0xcf09d680, 0x535de6e5, 0x5f9e844d, 0x522310ba, 0x46515dd5, 0xf42386c0, 0x6281cdb4,
+    0xab48cbad, 0x58f1735c, 0x025dbf2a, 0x1497434c, 0x2a0d6994, 0x6e173bdc, 0x7929aed5, 0x3aaa2b6e,
+    0x75823306, 0x8a1fbeaa, 0x2c5d7450, 0x57090247, 0x2cfedc47, 0x05c33618, 0x6ed01deb, 0x38f02411,
+    0x008440e5, 0x579b6f99, 0x0c1d0c20, 0x7933509b, 0x7a2b6f06, 0x4da78c7c, 0x96b2260e, 0x21bfd7ea,
+    0x7a8fdd21, 0x253fbc81, 0x6645ecf7, 0xae5ed855, 0xd6f91b49, 0x0edf28a5, 0x69ca9901, 0x61f9f23e,
+    0x733a6120, 0x033eef58, 0x792958b0, 0x04627a63, 0x48c55fd2, 0x0060be58, 0xdb8e42e0, 0x4c4eaa1e,
+    0xefee1564, 0x22cc36ec, 0x79268ac1, 0xabd63645, 0x2e62fe35, 0x9f12c9fa, 0x7644b509, 0xff8c455c,
+    0xf7e1cb16, 0x3fd0fd74, 0xb31a07d9, 0xe0ea14d3, 0x38776e32, 0x58c3953c, 0x91b2f873, 0x441de1b7,
+    0xf69e746f, 0x3f708da2, 0x57623e78, 0xef9fada6, 0x60305171, 0xd4c2cbe4, 0x7b47ace4, 0x5efe8912,
+    0xa0b8e401, 0x19f4399f, 0xb096b0a7, 0x9ff8f5f6, 0x240d0183, 0x43466721, 0x34aca950, 0xd3be07de,
+    0x5b39a9ce, 0xf137f028, 0x1227e47d, 0xc8b8704f, 0x5c6a2494, 0xff0e1d89, 0x7f7e91b7, 0xbf38cf43,
+    0x74f46cfb, 0x344bb8f9, 0x0a208cb0, 0x6cb2e4f0, 0x186a0a2f, 0x537941a6, 0x61fea5c4, 0x462b1d6a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000174980057982640953949800\
+                          17816940970922825355447145699491406164851279623993595007385788105416184430592 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5,
+    0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf46, 0x1e98be66, 0xbc08588a, 0xb8317075,
+    0x00000000,
+    0xe100b95b, 0xfe54d62a, 0x14cabd2d, 0xd343f220, 0x4e6dc15a, 0xf1d8e09f, 0x96a4ffb0, 0x50933a38,
+    0x145c500e, 0x6646f669, 0x9919a402, 0x19b92631, 0xfa637c30, 0x3ca4348c, 0xac0e2d68, 0x53dfa80f,
+    0x7e9be394, 0x9985220a, 0xbbfc0021, 0xb5daa03b, 0x0849d387, 0xaf63a278, 0x7d2ba15d, 0x5fe96059,
+    0x9affdefd, 0x479dd74b, 0x400fca5f, 0x1925ac93, 0x0e2a30b8, 0xdaf0b68c, 0x34d4c816, 0x802466b3,
+    0x82e909d3, 0xb0576c7d, 0x70aba666, 0x042ff182, 0x622579e9, 0xb05ebc6d, 0xa4419d14, 0x66c6e919,
+    0x8f259e0e, 0xffef1540, 0x62cba600, 0x7a547d73, 0x22e129c0, 0xb06bd9cb, 0x69b4751a, 0xd442fc15,
+    0x5f4c1b36, 0xb75945e2, 0x23327997, 0x466316e3, 0x702cc2d6, 0x046ca804, 0xcf8b007e, 0x76e7827d,
+    0x83349c7d, 0x4d475d6e, 0x41529494, 0x7a194cfa, 0x353d5222, 0xcb5458cc, 0x6c7611cd, 0xb64c21ee,
+    0xb9e0a0e9, 0x93042dc8, 0x843d65fa, 0x5f6c0178, 0xfb452803, 0xf2e40706, 0x312ee246, 0x2d313730,
+    0x7cf903c3, 0x6ca95b3e, 0x76617d5b, 0x5970124d, 0x47e95c47, 0x7fde8d97, 0x4b600d01, 0xa6f0d612,
+    0xe5dc3f09, 0x64de2c64, 0xb102cca7, 0x94e15d80, 0xfbafb84a, 0xe262a7ff, 0x270c14d8, 0x3a03bfdb,
+    0x7cb871f5, 0xd7b25e49, 0x10e83d83, 0x812a1c5c, 0x7f54bf21, 0x89a544cd, 0xba4a2ff7, 0xb70b8ab2,
+    0x5ba887a2, 0xe4a4a5c1, 0x14b937e0, 0xf419b6b4, 0x98605f10, 0x2990d125, 0xe593de6c, 0x4bb23a65,
+    0x0d6f700a, 0x12e45301, 0x4cdf2fbc, 0xa03a24c2, 0x575d4bd9, 0xceb8dd90, 0x0cb9563c, 0xc991ce27,
+    0x28849d43, 0x23782c0c, 0xf338d4e3, 0xa59bfaa4, 0x6683fdf9, 0x08e74a8e, 0x4736f3b9, 0xf251f40e,
+    0x883ba544, 0xa72666a3, 0x9a3ac83e, 0x67e14863, 0x209af214, 0xa9380534, 0x34391ab2, 0x4f6e0180,
+    0x0920928a, 0xbbb15549, 0x7019d989, 0x958a680b, 0x9078a015, 0xbe98eae0, 0x37b4818d, 0x31c042a6,
+    0x78355ce6, 0x22440bea, 0x660362b5, 0x087e2c75, 0x3e075594, 0xaa638980, 0x64051535, 0x09d300fb,
+    0x6feae5f0, 0x92ec30d2, 0x07d570ff, 0x973801c7, 0xcaeea6e2, 0xff8cc025, 0x9154eb30, 0x83b518c3,
+    0xc357f5e1, 0x2615585a, 0xa5463f06, 0xbcfb9990, 0x8b9bd505, 0x5fd93bdf, 0xaf707f0e, 0xf9fa6db8,
+    0x8c7394c1, 0xcd477fbf, 0x94b116c7, 0x44e423ca, 0xf719633c, 0xf02abba2, 0x4fb2517d, 0x26d74869,
+    0x60700086, 0x9ca0b245, 0xb0f01d9d, 0x2ebd0ec5, 0x97d424ed, 0x16cdec84, 0xffac4a02, 0x921a2f61,
+    0xaa5d55ef, 0x7b378182, 0x92d933dd, 0x2270c3c1, 0xd660219a, 0x30546d90, 0xabe530a9, 0x273f1d22,
+    0x7998edd9, 0x5be9b86a, 0xe3bd8593, 0x63cbcea9, 0x89d86ace, 0x3994cda2, 0x2bb8a6bc, 0x543f172b,
+    0xb1dd2493, 0x586ab84a, 0x6d8b2c9a, 0x03360681, 0x4b8a4207, 0x5c28723a, 0x39a64b15, 0x4e8d6fb5,
+    0x59be835e, 0x0b731d08, 0x32599dbf, 0x2ea07bee, 0x828418c2, 0xdd813e5d, 0x7125ef99, 0x9c242ddd,
+    0x2c81ecfe, 0x3979d04a, 0x49e5266b, 0x0a89985d, 0xf932bf12, 0x127e6c72, 0x84acb57a, 0xd9c45381,
+    0xcf8ce2d9, 0x3c65b0d9, 0xb8a2982b, 0x5622d5b7, 0xac6ba976, 0x0a94c0d5, 0x6d8329fa, 0x5e80559a,
+    0x6b5f5527, 0x16c3f90c, 0xbfab8b94, 0xca8b2cb8, 0x02c47da3, 0x9798332d, 0xf84dcf48, 0x826e9483,
+    0x946351f4, 0x454678fe, 0x539f9876, 0xaa3089b9, 0x15e9e4d6, 0x138d6487, 0xf2732fc6, 0x604b3d0f,
+    0x02da6c6b, 0xa0f1b49b, 0xfd14a2bd, 0x8761b7c9, 0x14d4b834, 0x7da247e4, 0xfe2f639b, 0xfa1f6e0a,
+    0x166f4bcd, 0x6df5eb04, 0xd754bb92, 0x335dcf34, 0xb174b92a, 0x2eec57b2, 0x409c0fba, 0x2d958bcb,
+    0xcec2666a, 0x51e732fa, 0x6d19b102, 0x57d93ecd, 0x81d5ea64, 0x03d74e06, 0x82450224, 0x2a6990b0,
+    0x8bd1dca1, 0x4f10b43d, 0x2a9a93c7, 0x1c051c20, 0x3642b8fe, 0x3f15f558, 0x749745fb, 0x56184a48,
+    0xef159958, 0xdd73e850, 0x2c68d302, 0x894c5818, 0x95fe1dc2, 0x8e66d980, 0x2691ec39, 0xcf91355d,
+    0x02ad5521, 0xe700f379, 0xacc4bf74, 0x9360be8b, 0xc421f5eb, 0x3aa2191f, 0xc3b00952, 0x9169f675,
+    0xb3c3298d, 0x3b15f8cd, 0xb945bf8c, 0x725f4312, 0x2a1579a8, 0x4df1ee90, 0xda3aafc2, 0x7b162ce5,
+    0xa1a5cf38, 0x1b9685cb, 0x59b6e92b, 0x5596cddf, 0xcc2e9973, 0x61d3a876, 0x266337a1, 0xbad98173,
+    0xc43b0705, 0xacdff754, 0x230a1b79, 0xadb38900, 0x3cd21858, 0x5c6a4dd2, 0x8c53c3df, 0x3f7499e2,
+    0xaf0dd55a, 0x878f20ce, 0x6012f79c, 0x1983e630, 0xffcfec1c, 0x0e189023, 0xff50b814, 0x4028d40a,
+    0xe23c5dce, 0x47a48963, 0x74938a7e, 0x306bf945, 0xa6996c21, 0x6542b2e3, 0xe617c6e6, 0x20e4e73d,
+    0x367d16df, 0x38fdf807, 0x0e622f9a, 0xd04ba03b, 0xb3d19193, 0x02f9f50f, 0x4019599d, 0x8cb05f23,
+    0xe19f3c68, 0x702d38c4, 0x63a6a82b, 0x3bcd36db, 0x99037c4c, 0x2fb5d407, 0xcc5f72f5, 0x6671dfb5,
+    0xa3b2fdaf, 0xe6ccf676, 0xe1fe03a7, 0xa87dea31, 0x39a0ac13, 0x4251af7d, 0x76ac1ff9, 0xe23be216,
+    0xa20a641a, 0x21a59cca, 0xe4fa84b4, 0xc060ec04, 0xadae3170, 0xbed14ac7, 0x6771050c, 0x5985afac,
+    0x7af74e34, 0xa0e6b3fd, 0xebecc819, 0x28c89b84, 0x34760783, 0xf7af2496, 0xd4ffa85c, 0xe63e8e00,
+    0xd4ae738b, 0x34cd955b, 0x8e22efd5, 0xec64adf4, 0x7622f61d, 0x6e979731, 0x9d424e0f, 0x6ef5b982,
+    0x711ca473, 0x07dba65b, 0x7c6c1887, 0x4ed22def, 0x02eef0c4, 0xb8d9e207, 0x8cb77bda, 0x2c567826,
+    0xcc4f44de, 0xcd2670f0, 0x968874c4, 0xca05563c, 0x3e3a2d30, 0xa9b216ff, 0x674a5f47, 0x631d1901,
+    0x240959db, 0xf27aaf80, 0xf7087563, 0x9e08c2ea, 0x2f0dc6ac, 0x5fc0c4f2, 0xcc7c5d07, 0x6e83cc6f,
+    0x5b7af8a6, 0xc955238e, 0x85573f28, 0x32e0960b, 0x960236b0, 0x4307d810, 0x6fbd23c3, 0x06b499ee,
+    0x024e5af3, 0x6f4466a0, 0x8e401ef9, 0x0151debb, 0xd3087093, 0x41ce21a9, 0x42bc7d31, 0x44584f49,
+    0x2f0d0fea, 0x04791ee7, 0xeb933627, 0xaba90a29, 0x92d42733, 0xb37c8e48, 0x273466f5, 0x91b6859c,
+    0x0f78e2a8, 0x2927f0c0, 0x606e410a, 0x844eb941, 0xfa112e25, 0xa5ac3a79, 0xd4653eca, 0xc3974e33,
+    0xd7ca1a92, 0xe28b82ca, 0xb4102203, 0x1824b178, 0xed9f8e7c, 0xdcd2aa5a, 0x5f286af1, 0x18684a1d,
+    0xf06f5ea1, 0xbc3a072b, 0xff7b6d41, 0x4d07b77b, 0xeb8e0ece, 0x9e32b4ca, 0x43d506ad, 0x7aaa5305,
+    0xbec82f2b, 0x439ba862, 0x91e0679a, 0x6d265c85, 0x4bf80fd4, 0xfe5b7dfa, 0x37e4de9c, 0x1bd2b9a2,
+    0x68cc5636, 0xab833322, 0xa654d84e, 0xf3628a1f, 0x2811d957, 0xc262ba44, 0x96ab4287, 0x3d46b1db,
+    0x82d5a5dd, 0x8fe5380a, 0x06297440, 0x69c841d6, 0xe8bd3d72, 0x923b560b, 0x5d960b96, 0x80faa0d3,
+    0x85d3c393, 0xcf595624, 0x7463e023, 0x75267fe6, 0xd9a3bf62, 0xfd7b4d0c, 0x6b9c138e, 0xb625183d,
+    0x6783990a, 0x702d976d, 0x89baf213, 0xe93a2525, 0x32f50261, 0xe1fcfc00, 0x04d94327, 0x911ee187,
+    0x83e40133, 0x559167e3, 0x590555f8, 0x93b97e3c, 0x3ff0843e, 0xd275cbcb, 0x5e8043f1, 0x2a232ded,
+    0xd040db6e, 0xeaf8f90c, 0x69203ee6, 0x2d538431, 0xc4ad001c, 0x0b3b762e, 0x77cc1bbd, 0x2db8b4df,
+    0x9970e9ce, 0x172d5fe4, 0x921b0b87, 0xe70740cb, 0x582dd60c, 0x8832a176, 0x03a7a53a, 0x7c99479f,
+    0xb2332dba, 0x28b9c076, 0x9a22ff57, 0x90f315f6, 0xdbff4122, 0xcad92519, 0x0f564d08, 0x747f15fb,
+    0x43e75c24, 0xa518d081, 0xd941b2ab, 0x702ba69b, 0x79065494, 0x32573f89, 0x3c8ecb8d, 0x7de310e6,
+    0xf97ce8a2, 0x5ce6437d, 0x9f143935, 0x4ec4263f, 0x97f0d833, 0xdf772292, 0xb589d97b, 0xc568a7a6,
+    0x14c6d447, 0x85a71eb4, 0x4faf1b9b, 0x895d8cc0, 0x66e5c1ea, 0x090817c2, 0x72761ddf, 0xc9d429e2,
+    0x444b4399, 0x3d62ebe9, 0x454e19bb, 0xe2c5315b, 0x7dea52f1, 0x44865ecb, 0x5d548b75, 0x4d4f5fd5,
+    0x336f08b6, 0xf4106f58, 0x75fa1471, 0x088711d8, 0x338a7573, 0xf8815798, 0x94d275c6, 0xfc60d0ba,
+    0xe11f8a4f, 0x16449295, 0xe2820eaa, 0x31549617, 0x66e53134, 0x2dd70feb, 0x01c31ac7, 0x87ec8253,
+    0x8b5903b6, 0x34b9647f, 0x7577b071, 0xfa371766, 0xc64e74c2, 0xe751a84b, 0x1a99586c, 0xb88de01f,
+    0x4f0ff89b, 0x63e38949, 0x66f6b46c, 0xbec02c5d, 0x08493379, 0x1d44e5c1, 0xf5c68331, 0x69ae18d9,
+    0x6bcc8bc6, 0x2c258efe, 0x70db787a, 0x1e357929, 0xeb1cf439, 0xaa2d3977, 0x7b4ec8d7, 0xaaa88c4e,
+    0x080e5bd0, 0x58b25e21, 0xf0af8d1e, 0x8520f4c5, 0x0807d8d2, 0x6c7f1f01, 0x4c1751ee, 0x9106c0cf,
+    0x3fd32463, 0xaadf809c, 0x16f0136b, 0x67101f44, 0x1fa1d0a1, 0xd06f47ec, 0x7df1dabd, 0xca2ef0fc,
+    0x144eaf86, 0xe1643f64, 0x5ad9ad4d, 0x4012c3de, 0x1ce7fc0d, 0xa89a44b9, 0x009788c4, 0x8ee35d46,
+    0x70add248, 0x76a0bcbe, 0x47517414, 0x104f716c, 0x2d57a754, 0xb5478b63, 0xdcc0999c, 0xe3951528,
+    0x0f0320d8, 0x25729131, 0x3f2ccbfc, 0xfda803d5, 0xa7425ef4, 0x144584a4, 0x4a0c84de, 0xdb09f91b,
+    0xaa2c5bae, 0xbeaed51a, 0xcc5f67d2, 0xb5eb6451, 0x37ac26c3, 0xaef6e5d6, 0x9aa2c497, 0xe89ccc01,
+    0xb58fadd2, 0x145d1bb0, 0xfa179b2c, 0x2d3a397e, 0x8ea40247, 0x8d8b77dd, 0x55d0693e, 0xd0c7a9f1,
+    0xc2f6370c, 0xe823deb1, 0x604df78c, 0xa8f2397e, 0xd796a439, 0x8177dfd2, 0x11576ea6, 0xeb6d91e9,
+    0xe99f49bf, 0xa799aa6a, 0x187c78ed, 0x85e7d688, 0x0ff7f88f, 0x67723578, 0xaa5fdd62, 0xb4659eda,
+    0x6fe87c5f, 0x4d20edab, 0x4cc4e4a0, 0x395182eb, 0x4f8dcc3e, 0x3eca49b8, 0x16f247bb, 0x77ac1a67,
+    0x5860b82d, 0x70b8154f, 0x5dcf3889, 0x3b199062, 0x5730c44a, 0x5c8edf72, 0xa717d507, 0xdf4ebc1f,
+    0xa4944802, 0x9dff1544, 0xce8d1cfb, 0x98b5311a, 0x019b7cda, 0x5323a7b4, 0x55d9f98e, 0x4d1afe39,
+    0x23a0af84, 0xea7ad23c, 0x0ae48ef5, 0xfdb214a0, 0x4b8599d2, 0x4e61ecca, 0x5a95fc2c, 0xfb6b1afd,
+    0x6efca359, 0xeda6224f, 0x0654b906, 0x7fd1d18d, 0xf12640cc, 0x5ac8c03f, 0x43136499, 0xb0bb8724,
+    0x49e89f77, 0x6028e543, 0x4e6bac43, 0xbb8beea9, 0x59c38e43, 0x2040ffa8, 0x3bef6b8f, 0x270755af,
+    0xd7957471, 0x814db2c8, 0x4484fa5a, 0xd67996da, 0xa1c897ff, 0x139f1f0c, 0xdb54247d, 0x9944d638,
+    0xdc6da494, 0x6783588a, 0x7319409a, 0xa55e0142, 0x1760a597, 0xf6f91bcb, 0x50d5e74b, 0xd6832e84,
+    0x268dead5, 0x236e16e2, 0x81d663a3, 0x63ebc29a, 0x20fc3dd1, 0x589c0276, 0x08dedad1, 0x0c458e4c,
+    0x88d91bd1, 0x92cff4d5, 0xebfdf14b, 0xac6d7bb0, 0xb31b075e, 0x2d11cc05, 0xf7e79254, 0x5f219c7a,
+    0x4d509213, 0x85caf7d2, 0xe6160477, 0x44578020, 0x9abe52cc, 0x02c277f3, 0xd25de344, 0x49972064,
+    0x62f6e4e6, 0x0296f0d5, 0xed140e58, 0x71a40e19, 0x81f776dc, 0x03542774, 0x1a801064, 0x97a222bd,
+    0x119f7c84, 0xf00f19e3, 0x083c63c2, 0x9c536988, 0xa7f2c368, 0xaa50b971, 0xc2b1633d, 0x217214eb,
+    0x5de69e19, 0xa57c18dc, 0x85f989de, 0x34631e36, 0x00b3387c, 0xc88b1851, 0x63e5beaa, 0xdb82e53e,
+    0xd30a92a3, 0x287db144, 0xfe243aad, 0x14d9c1d9, 0x647741f4, 0x86e56aba, 0x710595b0, 0x5258c3f5,
+    0x4dbe1e51, 0xb2c53025, 0xce84b52e, 0x495da572, 0xa24cba4c, 0x0bf84151, 0x964f3e42, 0xa1b7d958,
+    0x8f1c29d1, 0x56a9ec8f, 0x82ed5dbc, 0x64604bcb, 0xcce5d101, 0xfb7bfdc4, 0x0c10d004, 0xb3972117,
+    0xcb1c0b80, 0x9b07d9c3, 0x1d8267e1, 0x3817b70b, 0x9e533c95, 0x61422028, 0xafb9f279, 0xeb0eaf08,
+    0x8dff674c, 0xde0e0fc7, 0x2a12039b, 0x260075ea, 0xb4ee5ae0, 0x8fa6edd8, 0xc463968d, 0x9e4ab40d,
+    0xe94b9b67, 0xd276e527, 0x5c079633, 0x8025905b, 0xec156f11, 0xd57b9324, 0x96663174, 0xc813314b,
+    0x5bd8ec97, 0x3819ca5a, 0x1e737fd8, 0xddd13bc1, 0x4c78cbaa, 0x875e67f0, 0x98db674f, 0x08de6de3,
+    0x75abd1cb, 0x9c27c7cf, 0x8ad90dd6, 0x0baea256, 0x0d80e0f5, 0x8365e48b, 0xb6fafa42, 0x82af70d1,
+    0x71381669, 0x6bd1e98a, 0xc93eae60, 0x0ccf586a, 0x10206d1a, 0x49210585, 0x51b94b69, 0xa027d09f,
+    0xcdc68cec, 0xffea92e8, 0x4b179982, 0x19995b05, 0x01fa71e1, 0xf99a782f, 0xc2a0b7d2, 0xd579dc12,
+    0xf1c13ce2, 0x2500064b, 0xe3d88ca3, 0x51833c34, 0x72ab2264, 0x38306e2a, 0x25dc741c, 0xd5cebcdc,
+    0x1ecbb652, 0xc50de842, 0x757e4255, 0xd382ea41, 0xe6d1a81e, 0x139c345f, 0xa304b053, 0x2383cb84,
+    0xa3309635, 0x35eb8f7e, 0xaa58ed9c, 0x71d47b50, 0x21f15af3, 0x9d9518cb, 0xbd3b5d9b, 0xcd61f3c9,
+    0xe42302a1, 0xd34a4c4f, 0x600666ad, 0x61813141, 0x39d0698c, 0x296f32cf, 0x685dd9ec, 0x60c2de62,
+    0xb110d31c, 0x282c9c34, 0x3c447248, 0xf5c3621b, 0x7a23375e, 0xc15d5791, 0x9a8fad57, 0x6e858a40,
+    0x18b5e8bd, 0x2f52fc15, 0x9ca5a755, 0xe25240c7, 0x87f2d00a, 0xc1a56ba1, 0x6446109c, 0x9405c218,
+    0x4315cca0, 0x2df8200f, 0xcf509520, 0x099c4f2e, 0x9c41bdfe, 0xecb0333f, 0xe607ad75, 0xe7989ac9,
+    0x6a20b44b, 0x15b21013, 0x687835f8, 0xc7b6792b, 0xb482c096, 0xb54f83b3, 0x162e2d8c, 0x7675efaf,
+    0x9508ed6d, 0x415edf73, 0x763b9290, 0xe0134761, 0xa3b3394e, 0x76f5ad55, 0xdf9b75f9, 0x90db3bfb,
+    0x9f6bdbeb, 0xa9076741, 0xe128959f, 0xd3ce20b8, 0x76f6084b, 0xefb68ae3, 0x80ef6742, 0xf354bd6a,
+    0xb74154e2, 0x56aca498, 0x7b758e77, 0x815e029e, 0x65d987d2, 0x3223d647, 0x98cb6c3a, 0x26aab2cd,
+    0x85301cd6, 0x10f32a0e, 0x3612ec4c, 0xd16b2b25, 0xc3bc5806, 0x40e40cd1, 0xee204e3f, 0x7b3d1757,
+    0x0f1008ee, 0x2256108b, 0x41137635, 0x72e2719c, 0xc105e0e4, 0x4f5735f4, 0x2f1a5316, 0x8dc20383,
+    0x8b5eb1af, 0x90c33716, 0xac883d9c, 0x73d61607, 0x0ecc1943, 0x86e5b175, 0x41fc6b7e, 0xd0b60074,
+    0x960423f3, 0x3daedefb, 0x9efa676d, 0xa710e337, 0xa742f0b2, 0xccfb0f50, 0xf4d0b78a, 0x548c69e1,
+    0x293d3d1b, 0xd26c5c32, 0x19570e0b, 0xefa1f828, 0xbff82a8e, 0xeaf972c1, 0xdcb51750, 0xe82d6576,
+    0x94b0ad74, 0x26f1c3fa, 0xc1a0090f, 0x87c180fe, 0xb032af91, 0xceda6626, 0x778766d7, 0x92c2a5af,
+    0x8aae4b4c, 0x12f3ee87, 0x0fe9c634, 0x5471a4c1, 0xd1dd6d27, 0x4aed29a0, 0xd920d204, 0x29aafd48,
+    0x3bbaf0ac, 0xd87cd2ae, 0xbc2b5c9a, 0x981a52cb, 0x118bcbc9, 0xbfd1efec, 0x36d73746, 0x9776edf0,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000087490028991320476974900\
+                          08908470485461412677723572849745703082425639811996797503692894052708092215296 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da,
+    0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa3, 0x0f4c5f33, 0x5e042c45, 0x5c18b83a,
+    0x00000000,
+    0xa9b4e9e7, 0xf04f1e7b, 0x2564dc48, 0x348530e7, 0xecc84303, 0xbdc74845, 0xeae27fb0, 0x44fd71f8,
+    0xc2357a1e, 0xc9d3d550, 0x5d58c0b9, 0x0fd22215, 0x8e2fc2ca, 0x7deeda1f, 0xec992550, 0x80e0da06,
+    0x50f9a1d6, 0x0f9b1c67, 0xd521baab, 0xa4872e1e, 0xe0602726, 0x05d418a2, 0xe2b9f92d, 0x24696f02,
+    0xa70f3014, 0x7ee653c0, 0xe22c137d, 0x7ad810cc, 0xc354b28a, 0x17ec0a2a, 0xa01080ad, 0xeda18118,
+    0x13056f04, 0xd1ebea9d, 0x4fbc3713, 0x9004a74e, 0x4f714da9, 0xfbd3d810, 0xb14e68dd, 0x16323577,
+    0x5d378614, 0xaf8156e9, 0xb1b5ad25, 0x2e9ae563, 0x7879c3d5, 0xe38a10f0, 0x8c1b252a, 0x288d984b,
+    0x96243045, 0xb16669c0, 0xda731a3a, 0xda33eb5e, 0x8a2062e6, 0x1a831f1e, 0xefe749a6, 0x16c13f88,
+    0x571f7750, 0x139d8e62, 0xb60192c2, 0x9baafe60, 0x07fe856d, 0xf8015cdf, 0xcf384ed5, 0xbf03e318,
+    0xecfbaa0d, 0xfa960e50, 0x82a3257a, 0xde3b5662, 0xbd576100, 0xfd42aca3, 0xb35ec38b, 0xe6a0c233,
+    0x5fcc9b27, 0x0e1b896c, 0x21326fac, 0x77114a44, 0x23f1f10e, 0xa4e7df7d, 0xa7ad553f, 0x2a0743ed,
+    0x57726ca1, 0x46879cb2, 0xee155734, 0x608d64f0, 0xbdb44fa8, 0x4541be55, 0x43a51765, 0x96bf348c,
+    0xeb167a6f, 0x1a1ed8ea, 0x4c2bb39b, 0xa0d03ab2, 0x3350e27f, 0x87dde681, 0xb542d946, 0xf454dc17,
+    0x0c76b869, 0x43aa05e2, 0x5c1e0a64, 0x9fd7066d, 0x0f65a98c, 0x0c95d83f, 0x166daf5d, 0x125ca27e,
+    0x2827f42d, 0x41620f25, 0xb492c119, 0x087950d8, 0xd354d9fd, 0x252f2815, 0xb8856064, 0xca79c2c5,
+    0x82f16dc2, 0xeccf77e5, 0x74682312, 0x759ee2eb, 0xcc6bd0b2, 0x5e632d60, 0xf16ca4c8, 0x01d30b8c,
+    0x736ab229, 0xc21762d2, 0xeb5a1849, 0x766946a4, 0xaab2608a, 0x6788fb34, 0x382f33d7, 0xcb3e80cc,
+    0x916fd12d, 0x205b3b19, 0xc7181ad6, 0x54741e6a, 0x93de9f0d, 0x3f61e61b, 0xe374139f, 0xbdeb4e57,
+    0xfe9e1ca2, 0x57729c85, 0xf8ba417e, 0x05ffdeb2, 0xb55a253f, 0x24794418, 0x2ac8171a, 0x372f51ee,
+    0x6b51c414, 0x0a654f3b, 0x814a85e1, 0x22f7f956, 0x6f8a6cc0, 0x83e833e2, 0x1121591b, 0x065bfc63,
+    0xba2ce339, 0xd909b15a, 0xaf9b6b31, 0x3d3a773d, 0xc4a0bec7, 0x2862ad5c, 0x1ff2568a, 0x793cce81,
+    0xc1a704bc, 0x33e0b0f3, 0x2aa17860, 0x77ee83ad, 0x230d534d, 0x521a2cab, 0x3db332a9, 0x39ce39eb,
+    0x80d90e87, 0xbf564e9f, 0x4658eebd, 0x0229c7d0, 0xe912595f, 0x7d13e6cf, 0x113b10cc, 0xc12eb742,
+    0xc2b966a3, 0x80386b67, 0x9279882e, 0x24c44e89, 0x5d431205, 0x29828070, 0xaf4febbf, 0x9dca92a7,
+    0x63fb6b88, 0x6e215f0a, 0x5e468709, 0x1d6947a1, 0x7f08c268, 0x722b0b50, 0x374fee26, 0x06e00ccd,
+    0xde63dd3b, 0xc7f23e08, 0xb28dfb37, 0xd9f2aec5, 0xa7454777, 0xd40756ca, 0x9d645732, 0x60002a71,
+    0x28df4426, 0xa57e97ab, 0x1e5736ef, 0x100dbffe, 0xdb34abcf, 0xe8cb5fdd, 0x54ba8f35, 0x4f1d15b2,
+    0xb2f99975, 0x8f1f1ce4, 0xa94e04a6, 0x0cba12d2, 0x459abb83, 0x83b32fd5, 0xffec8989, 0x42b048a1,
+    0x0a69e3c2, 0xb375646f, 0x7004e98b, 0xd915f238, 0xcc91511e, 0xb3bc787c, 0x2ee296ff, 0x72c02242,
+    0x491c39cb, 0x82b50133, 0xfb1a5f66, 0x2d1270f7, 0x8c58b2c2, 0x4730e355, 0xbba9eb4f, 0x5ace36f7,
+    0xf8e61cd2, 0xdc7abd2b, 0xd4dbabec, 0x580d1ba8, 0x14b9ce5d, 0x22fbbfda, 0x10ef3c63, 0xc09d8ed0,
+    0x49b45b61, 0x34acfd3b, 0xbcf90ee8, 0xb162b66b, 0xa486ae29, 0x36cfd880, 0x4040af4b, 0x578a4071,
+    0x25d35b50, 0x4e671d2f, 0x9fa3406c, 0x2262ea7f, 0xca446ea5, 0x283c89a3, 0x2babae57, 0x6ff6ebd4,
+    0xb3368c16, 0xc3296609, 0x5ec7fdea, 0x213c47e4, 0xfc057948, 0x1c68659a, 0xf45a6ff8, 0x00460103,
+    0xaf780ebf, 0xe218c55b, 0x0f079d09, 0xaf0a70fe, 0x77e54a46, 0x3ff368bb, 0xb180ffcf, 0x0d8309e4,
+    0x5c54b9d1, 0x9ebeaa5f, 0xdb920068, 0x1cded78f, 0x6f4c1de1, 0xabfe9e06, 0xad5d2f84, 0x667c5893,
+    0xd1e92397, 0x828d5275, 0x75e6ce7e, 0xe2670618, 0x1df4a03c, 0x56c5c9b0, 0x22dafffa, 0xa866b99b,
+    0xbe4ff466, 0xc43025e1, 0x2b76611b, 0xbcd673d0, 0x63edbbff, 0xd3d3a16f, 0x159cfd06, 0x9a9e737a,
+    0xea062ae1, 0x2e0366b8, 0xc841aa7b, 0xcaeb5bf1, 0x526cf96f, 0x02624580, 0x33cc4873, 0x8e31abd0,
+    0x30773ab5, 0x4e0cb3f5, 0xc5cf989e, 0xa4a41d4a, 0xeb2e424b, 0x48c213f7, 0x271f7763, 0x34fc645f,
+    0x4d81fe82, 0x186bc7ad, 0xbc032b76, 0xf5d801c0, 0xc362ae4e, 0x4b13225e, 0x45e42ef7, 0x02c30bbd,
+    0x26fa4bab, 0x2e533d51, 0x40310f5e, 0x9c20c0d0, 0x36a668b6, 0x036601bc, 0x73b19b00, 0x6f4455ac,
+    0x3903552d, 0x4fe20db5, 0xb51783f8, 0xabca1602, 0x10ce27f0, 0x7522b28b, 0xb094c697, 0xd085b9eb,
+    0x46be540c, 0xbd0d81d8, 0x3fb60a3f, 0x1d74ba1f, 0xacf7e584, 0xa3befa21, 0x1f67b1c3, 0xabf70e61,
+    0x00813506, 0x26f4ab0f, 0x25c57e63, 0xc1a6cd78, 0x60414054, 0x8efe1e57, 0xfceb97c2, 0x1d8db3bf,
+    0x7c26b054, 0x2728a97e, 0x04fffacb, 0x65fafbe7, 0x11e9103a, 0xa0668d8c, 0x7490fe1e, 0x656850aa,
+    0x5383190a, 0x0efbe874, 0x9a4ae99b, 0x87858865, 0xb3f01b0a, 0x1483789c, 0x79a03e77, 0xb685e798,
+    0xab57cbc8, 0x2eeb7201, 0x828fea8f, 0x81c4eaa7, 0x60a66b68, 0x535b8043, 0x7d03116f, 0x41e90248,
+    0xde0cf0c2, 0xc7221db0, 0x22ca7647, 0x65ca6ac9, 0xdeaf94b1, 0xa7dc016c, 0x867d46e9, 0xb3e1175f,
+    0x62e44002, 0xbea0030a, 0xbb4cd9d4, 0xd19613c6, 0x29932fd5, 0x70801d35, 0x9e6bb58a, 0xe4a05781,
+    0x672c59ca, 0x517e05f2, 0x257c7a15, 0xb22cf451, 0x2883ba76, 0xc1ec475e, 0x832e2da0, 0x0263626d,
+    0x72c4d5b9, 0xa94c5d9d, 0x347d989d, 0x5fe1526b, 0xd7c7da5a, 0xc7aefa0b, 0x4019f465, 0x107afba8,
+    0xf2d67466, 0x905bfcf0, 0x40d56f53, 0x8a66c6a8, 0xb0239dc1, 0x945a08de, 0x461ea9ab, 0x45ada7f5,
+    0xe552873b, 0xe4675dc3, 0x9b65aada, 0x310b4ce8, 0x4bdd657b, 0x1a97154e, 0x16ab1168, 0x0e64c11d,
+    0x1c9ba8b3, 0xa935dd9a, 0xaf3ed841, 0x728d6cfe, 0x3d719a38, 0x20ee19d1, 0x92fc53c0, 0xaacdd3e9,
+    0xaaf1de5c, 0x2689c3b7, 0x2b2e8d7e, 0x3ba04a5b, 0xca284d5f, 0x80c80021, 0x8c1d2ba4, 0xf22fbd4a,
+    0x2c9161ae, 0xbf207f4c, 0xca015dff, 0x4c54f29e, 0x01607952, 0x46337b59, 0x0212c622, 0xe26c2534,
+    0x0008b739, 0xdfe0825c, 0xb5d6defa, 0xd905f295, 0x8f80c523, 0x8124749b, 0x6d44b030, 0x12abcabf,
+    0xca537029, 0x93e63df9, 0xeb6d7bfc, 0x2ab4744c, 0xf523a8bf, 0x9059aa63, 0xa0a37b81, 0xbbd09588,
+    0x53202169, 0x128287dd, 0x6bb90778, 0x36c45d5e, 0x31710f06, 0xf0b0888b, 0x136ecee6, 0x914c6ccf,
+    0xd9825d3b, 0x90506075, 0xcf1e30c1, 0xf688a297, 0xf12476aa, 0x854de68a, 0xce4d4662, 0xb4f1220f,
+    0x79d2adac, 0x47c8fdc9, 0xe5d87e7d, 0xfb6ef929, 0x39748d1d, 0xf1d3792a, 0xe346decd, 0xadd8ba8b,
+    0x96932e69, 0x1ff7b6b5, 0xc79d1b18, 0x934ed506, 0xd303a01f, 0x2996af2f, 0xa4dfe4c1, 0x811b531a,
+    0x6375ebcd, 0x5fc81318, 0x98a3f3cc, 0x3a84acf4, 0xc7cf3a29, 0x3069b1a9, 0x8b15986e, 0x72c1d740,
+    0x7d0a0be2, 0x614c74d6, 0x4c983769, 0xb52a8ad8, 0x491a3132, 0x27c66c8b, 0x5721e5f1, 0xaf75f2b0,
+    0xc09df2ae, 0x6bdabf0f, 0xc30e487d, 0x5e2b1f71, 0xcd60981d, 0x834d033a, 0xb3d65f9c, 0xdcde7421,
+    0x94b0df35, 0x3d995030, 0xf1de768f, 0xe8f63835, 0xfdd4e026, 0xa6c53577, 0x8ac37103, 0x0deefc98,
+    0x29536a3e, 0x1591e359, 0xf9d02481, 0x50e4c6f6, 0xceb4effc, 0xdcf9679e, 0xdb394911, 0xeec04404,
+    0x478a5f68, 0xd33cab8f, 0xd776993d, 0x6d3aa944, 0x34cbfb49, 0xf2f98429, 0xc481266f, 0x497921d7,
+    0x0c43fa9c, 0xaa1fd26f, 0x06ceddb1, 0x97f0cb55, 0x962fd1b5, 0x62e3023f, 0x7bd30f13, 0x96700a39,
+    0x590b596f, 0xc8866be9, 0x3517bc75, 0x0d1a5ccc, 0xf2a21206, 0x22d087e0, 0x156ddf34, 0xb24e3a8a,
+    0xed8830f5, 0xefbaa8da, 0xf434ee3d, 0x53457ef5, 0x28a7de1c, 0x40a182d4, 0x53457846, 0x84af5e9f,
+    0xd3bfeb20, 0xe0565758, 0xcc93140c, 0xd6eb4ab4, 0x6cb08749, 0xfab2bbdc, 0xeb250685, 0xf16fab20,
+    0xeb224dea, 0xec45b623, 0xb967fec4, 0x9137eea2, 0xff0d4ea6, 0xf96af2ae, 0xa00bbc79, 0x478b8cfe,
+    0xe2466c5b, 0x80f13bc5, 0xb0ccbe44, 0x07bc7df0, 0x73e4bdb2, 0x21729fe7, 0x84b8c097, 0x1dcf548c,
+    0x327f6352, 0x45262e8b, 0x50bfdcda, 0xb3a0a74b, 0x25ccb9c1, 0x3528d555, 0x5735299a, 0x516f3d96,
+    0x7b6fb102, 0xc1c1007d, 0xca7ea317, 0x57592857, 0x593f36ad, 0xed7046b2, 0x3b666b75, 0x2df8e341,
+    0xaf23fcfc, 0x40aea4ea, 0x6243cc75, 0x44e3e8c5, 0x6fe68e9e, 0xc5437026, 0xb86ce232, 0x561b6697,
+    0x940e2bce, 0x53a8b90a, 0x787bb135, 0x0251ff59, 0xce8c7228, 0x3dbcc330, 0x9c722234, 0x6eec59f2,
+    0x0a623e28, 0xfd9cce7f, 0xd93319ee, 0x0640f3e6, 0xde0eb896, 0x8630267e, 0x2a67b0a3, 0x0abda0bf,
+    0xe3d8f1ee, 0xb898266f, 0x3a48ff84, 0x8b3c3bf3, 0x9be1ade4, 0xbba6a3b2, 0x3349f361, 0x2df1e534,
+    0x2cd51641, 0xe5218403, 0xf8babdcc, 0x1c8b140b, 0xfb4d4985, 0xd275366f, 0x94d3ebc2, 0x7adfc215,
+    0x2c0767c9, 0xfff9d5d5, 0xcf51547c, 0x6317bc20, 0x173d7139, 0x6ec887f9, 0xbce44d9a, 0x6c7a1255,
+    0x341515f5, 0x1ef542fd, 0xf82d5369, 0xb25e0d06, 0xee4689f8, 0xaf338321, 0xf62443b6, 0xe5c34377,
+    0x3eee6e85, 0xb21332fe, 0x607eb20c, 0x518bde00, 0x0187bb18, 0x3caa7a74, 0x9a6d233f, 0x10d1dfbe,
+    0x203e70ca, 0x7e48f237, 0xa10c9ff6, 0x2a91bc6e, 0xe3ef78f0, 0xf88546ad, 0x6037596f, 0x5a24a514,
+    0x971dc07b, 0xb47f001a, 0xccb54f3b, 0x6e54e6a8, 0x023cdf76, 0xc096020e, 0xe661a4c4, 0xe3d330c4,
+    0x1c34969b, 0x39b6277d, 0xd7c4ce86, 0xec8db119, 0x274d9a57, 0xa4d4aae6, 0x4a304159, 0xd794ced6,
+    0xefc2ab50, 0xc8990fc5, 0xa9c3431f, 0x88ef7ac4, 0x6987fe22, 0xe9cfd0bc, 0x816f691a, 0xa4a46c50,
+    0x4f22f220, 0x1fa8ea08, 0x712c58f7, 0xa99942ac, 0xfe9d932f, 0x7568e192, 0x622e4839, 0xe6ca2e6c,
+    0x358dee0c, 0xe7c57073, 0x8ac8a323, 0x8f0b58ca, 0x1b0bcbf9, 0x670db8bb, 0xf7d6c5b4, 0x8c641630,
+    0xc5c575bd, 0xbd0e08a2, 0x76e94a06, 0x9d5cce7d, 0x5d3c5336, 0x927bd509, 0x0d2e5e7f, 0x3d2c6bf4,
+    0x64a0f1aa, 0x1a742aea, 0xb9f47744, 0x35d597ca, 0xb322ade2, 0xccbb7cf9, 0xb21485ca, 0x8aedd72f,
+    0x3f8511a4, 0xaab311fa, 0x007ec4c2, 0x1a83b408, 0xf0b49b25, 0xa10f8419, 0x75348d47, 0xa1d330dc,
+    0xcf9eae95, 0xfd8b4fa5, 0x9f03fe3a, 0x1daaa610, 0x2b00190c, 0x7326b025, 0xe6afba93, 0xe6566466,
+    0x982092ea, 0xb77aab59, 0x7e746b79, 0x5869b9be, 0x9ab88762, 0xe2fccb0e, 0x9d40c961, 0x281b742e,
+    0xaadcea48, 0x135225ba, 0xf44660a1, 0x5cca73f2, 0x9208a9de, 0xe91ba6d0, 0x0627a741, 0x704a0bde,
+    0x63178686, 0x7c0a6fd3, 0x1ed93480, 0x47b75d75, 0x8a36421d, 0xfddb9c25, 0x9df5faae, 0x71a885dd,
+    0x19bb2cc6, 0xfd98e211, 0x9e51e08a, 0x2761bf69, 0xd0b98cb2, 0xd8a4ebfb, 0xdb8e8d4e, 0x2ccf9ef8,
+    0x72e4e322, 0xc01875f4, 0xf1c65e97, 0x7804158f, 0x1f9b8f2d, 0xe5ec3f97, 0x254ea206, 0x8ffabc60,
+    0x2ae62b2f, 0x5ba97e24, 0x42982d41, 0xa23b5314, 0xd0ebe17a, 0xdc58340a, 0x144122f3, 0xe4fc3eed,
+    0x1e15d197, 0x57bfe505, 0x8d70122c, 0xe25368dd, 0x61b0b7a1, 0xafe09188, 0xb0ff57a5, 0x922259b7,
+    0x3dc1dbe8, 0x92f3c054, 0xa16c7b8b, 0x7e9b3c2d, 0x8b342652, 0x160a8ccf, 0x4fbe720d, 0x86634873,
+    0x56c74acf, 0x32f0f4fe, 0x29280b94, 0x204fd0f6, 0x722fe4a2, 0xcc9c79e6, 0xd73eb441, 0xa0b14218,
+    0xc2ec1867, 0x6f16b681, 0x66ccd786, 0x1c95dc40, 0xdb724e84, 0xcb58cdf0, 0xa7a30cf9, 0xe1c91904,
+    0x15f4c624, 0x05f34b71, 0xbdc5e849, 0x1c17f4a6, 0x60a96a84, 0xe54de657, 0x51406258, 0xba03014f,
+    0xe83fecf2, 0x6caa0005, 0x559bcbd1, 0x6bc1edb3, 0x1cfda2f8, 0xe11d4f5f, 0xfdc5c298, 0x440cf5a6,
+    0x762dd8e5, 0x8f268617, 0x64019cd2, 0x0a643240, 0xee8dae09, 0x0861238e, 0xdaba36bd, 0x2f91b0ed,
+    0xa41ebedf, 0x59675d78, 0xef40f0ee, 0xde894e0f, 0x156b97a8, 0x2caad4b6, 0x0f30a27d, 0x1ae05577,
+    0x9f3089b3, 0x59ac65fe, 0xbc4a8a91, 0xcf1cb80c, 0x5d092b4b, 0xa3e3a7b7, 0xbee1cab9, 0x3976eaf9,
+    0xf886e058, 0x46d39f9c, 0x3afce69e, 0x59a1433f, 0x485dfba0, 0x9ed068d3, 0xdb5e4677, 0x408d02cd,
+    0x18bc9ceb, 0xfcdac634, 0xb07cc0a1, 0x2c5a98f7, 0xa2a79989, 0xc101e348, 0x3acefa30, 0x4c4034ae,
+    0x5b1e1637, 0x3654a7b2, 0x0a959014, 0x91acd5b8, 0xb89d516b, 0x9a8ced27, 0xdaba5fac, 0x99a7bc49,
+    0xa6ff7f20, 0xa33a9619, 0xfabfa3b1, 0x560be095, 0x9fc9f86a, 0x6a242b54, 0xbf200806, 0x3a692306,
+    0xf145a8f3, 0xc9174b02, 0x03645fc2, 0xad15ac34, 0xf4ac0f74, 0x9f02c6c4, 0x0b25d7a2, 0x8b13374c,
+    0xf043a9b4, 0x11ddec9d, 0x853b459c, 0x510686cb, 0x45b52ce5, 0x2a6a559d, 0xb0f202bb, 0xc47d6855,
+    0xeb0fdba3, 0x0a85b2e1, 0x36f7e000, 0x3abf2ddf, 0xc227bdc2, 0x85171c58, 0x2d4ecb15, 0x405ea1f3,
+    0xcf5af1c4, 0x880afe11, 0x2c665cf0, 0xa8db27e5, 0x8371f84e, 0x412b2fe9, 0xc8e5687b, 0xfe49a5f4,
+    0x199e3c7f, 0xe512508c, 0x90a9a513, 0x002d4e10, 0x7063ec80, 0x0cc18ac9, 0x108d147b, 0x8d845ed0,
+    0xfb62bed7, 0x3502b157, 0x0b91f4cd, 0x9ac641fd, 0xe50d8aac, 0xbb11a350, 0x2a6fa0d9, 0x780e477f,
+    0xaa162454, 0xd54bce6b, 0x9ce5e2a6, 0x8023446e, 0xad798f69, 0xd2b0a10f, 0x2518e57b, 0x848c1c27,
+    0x11acf628, 0x26e443db, 0x37ceb379, 0xfe6dfa8c, 0x5ea2f47d, 0x72578988, 0xbde7a2b6, 0xc1934f3a,
+    0x0ef98ac7, 0xd90f3e62, 0x7d2e6ca0, 0xad66f54d, 0xb3c69ea5, 0xed67e275, 0xeafb61c2, 0x388094ad,
+    0xef7e1c23, 0x2042e4fc, 0x0a12c6d0, 0xb33603fc, 0x0c9d9baa, 0x351dcaa6, 0x76a1cf6d, 0x442193bb,
+    0xb07b2d68, 0x1e443e34, 0xbf367664, 0x0bdddeac, 0xaf802373, 0x0c583b04, 0xd3e8fe11, 0x0d611477,
+    0x8343b17c, 0xc0bd7445, 0x32d13953, 0x596c434e, 0x3b107e22, 0xe770b0c3, 0x71f59f92, 0xf931f019,
+    0x8555b3af, 0x840b8582, 0x942d8c06, 0x289f7a6c, 0x51acc504, 0xb7b0db50, 0xbc66666c, 0x5c2404d7,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000043745014495660238487450\
+                          04454235242730706338861786424872851541212819905998398751846447026354046107648 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d,
+    0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d1, 0x87a62f99, 0xaf021622, 0xae0c5c1c,
+    0x00000000,
+    0xd06f3721, 0xe59048c1, 0xe30a204a, 0x29115d26, 0x534ba44b, 0x30a7d8e5, 0x1e2654a4, 0xddc1a30c,
+    0xc17d009c, 0x5d3e7665, 0xb06cd257, 0xf5c38375, 0xf421c120, 0x95a7c399, 0x52ce66a3, 0xf2821941,
+    0x95c7b176, 0xf3f8e41f, 0x1662a639, 0xae671ad7, 0x3cd05434, 0xd00cfb64, 0xc2a274e2, 0x845737cd,
+    0xb521a616, 0x94c1a02a, 0x8ff482c5, 0xf8d24645, 0xaa6c5f4a, 0x007ce5ed, 0xc2eb6d5e, 0xffd0b545,
+    0x9c40b040, 0x47f14d5c, 0x73811267, 0xdebfa340, 0xe5a762e5, 0x42d594cf, 0x7e7041db, 0xdba75434,
+    0x9e9272f2, 0x2022bdc0, 0xaf677808, 0x0c17433a, 0x6a3878b7, 0x18e0ea27, 0xaf978681, 0x6e23b44a,
+    0xf30a14fe, 0x83dd5c79, 0x93b65f22, 0xf5525060, 0xdf1d887e, 0xcb70ee07, 0xa7006c5d, 0xa7636daf,
+    0xd7a6d245, 0x5d8bdb03, 0x562b9d38, 0x86da4573, 0x352d6228, 0x67ed59cc, 0xbc191895, 0x17a82bab,
+    0x74f021e3, 0x022cea3b, 0xcfbb064d, 0x20ea024f, 0xc1577bf5, 0x29b50abf, 0x9410ac8f, 0x14b077c0,
+    0x4b1620bb, 0x952867aa, 0x29176e8d, 0x1e805143, 0x833364f7, 0x3d241730, 0x58127289, 0xff8b10ef,
+    0xa2538c0c, 0x3b9c460b, 0xa73c353b, 0xa47d8081, 0xcb743787, 0x9b458bfb, 0x1ada9b41, 0x23417939,
+    0xfca847a2, 0x217f5b5d, 0xe12cfbb2, 0x2f516d54, 0x1897ca48, 0xdc38c732, 0xc92ced65, 0xe6a20f73,
+    0x5c552d6c, 0xb502a378, 0xa3545fbe, 0x9d9adb09, 0x4ebb2a7a, 0xa669add3, 0x5c6ac402, 0x433ee8b1,
+    0x61053820, 0x3d113d94, 0xa5fd3fdd, 0x13f982fd, 0x9f2411da, 0x87458cdd, 0x3cc788ff, 0xaff86d42,
+    0xf7501ac9, 0x41e38ca1, 0x27ad12a8, 0xfc35ab8a, 0xc08cd141, 0x6c24cd01, 0xce1bbfea, 0x1376dd96,
+    0x449c1229, 0x4c492a6d, 0x63efd2e7, 0xc0418bce, 0x71627a12, 0x872b0da4, 0x63521f89, 0x3d6977b8,
+    0x76c6be23, 0xc794fea4, 0xe63ca353, 0x62dcba1d, 0x480a4e5a, 0x669203b9, 0x8a1f3ab1, 0x80ad8493,
+    0x453d90a4, 0xdbf1e358, 0x089a17ab, 0xb92bc989, 0x9b0639c0, 0xd81a07c4, 0xf9071c24, 0xcf40f513,
+    0x4e3ed8c4, 0xbd1fcfc9, 0x51c740b6, 0xa2f33697, 0xa6f7f9ec, 0x4f14db5c, 0xdd50cd09, 0x0db380dd,
+    0xaf397ee4, 0x38693285, 0x470395fd, 0x6cb89af9, 0x7c59749f, 0xda7f929b, 0x2e1f4351, 0x31afc243,
+    0x399e01b2, 0x11f2acf2, 0x5f0413a0, 0x60ec4442, 0x00fbca6e, 0xc0677b64, 0x602f4307, 0x04f9dc77,
+    0x5d622617, 0x804fd035, 0x678b0be1, 0x82f752a5, 0x87e59e85, 0xf54337f8, 0xac29b04c, 0xead73446,
+    0x3f8397fc, 0xedfeb502, 0x75b7b919, 0x27ab61d3, 0x16d8a132, 0x8373659c, 0x7a6748c3, 0xf1e2362a,
+    0xe4b1c0f9, 0xccfa0bc6, 0x34c6624a, 0x78b19cf7, 0x251e25f9, 0xd2a116d5, 0x15dcd2df, 0x7f6c912b,
+    0xca47a46a, 0x05d0f3a6, 0x2ca790d7, 0xad032bb0, 0xa3f66a64, 0x88f18939, 0x0df148f4, 0x34ea2d94,
+    0xd6af3d71, 0xb512f31c, 0x8df70a97, 0x9def3146, 0x4579e082, 0xdc4f48cf, 0xe3eb4881, 0xad935700,
+    0xf29ba0b0, 0x68d5b4ac, 0x4fca3afb, 0x11a05103, 0xc7d9a6e3, 0x85bbf95a, 0xce7c9050, 0x50e62efb,
+    0xd6382f4a, 0x86313dbb, 0x9480f78e, 0x5ab7fd6c, 0xce36f6eb, 0x1ba51afc, 0x406438dd, 0x4da154bc,
+    0x9a65fdba, 0x7e56649c, 0x44913b5e, 0x0b609b5b, 0x2ac31b3f, 0x898c5fad, 0xa59e1fb3, 0xa5ed5319,
+    0x30b11362, 0xc9ada35b, 0xebcf655f, 0xc9b3dd04, 0x233e80ea, 0xe5b48ffc, 0x1ada6481, 0xb8e47a6e,
+    0xdd2158c0, 0x0ff06af8, 0xaea9d5c6, 0x0f44cd06, 0x6008811a, 0xe43bd589, 0xec6a7569, 0x22ae0d59,
+    0x4c374ccd, 0x664f7857, 0xcd9a61a0, 0x5690f767, 0x8ad0dc82, 0x8ab58783, 0x2e1e18ab, 0x9f3237f5,
+    0xe7ea74c8, 0xd7b3f9f0, 0x2a84e62e, 0xc364cb75, 0x6e208f11, 0xf4e7ada7, 0xd0e29c5c, 0x29620c40,
+    0xe4eee1a5, 0x1f9bb3dc, 0xb1b645c9, 0x8cbef905, 0x445fb69d, 0x1113d445, 0x7d9ef551, 0xba07c65e,
+    0xe8d66ec8, 0x6c48cac7, 0x2f999950, 0xfe2713ab, 0xeb4570e6, 0x0cf43985, 0xd152b044, 0xc000d1f0,
+    0x70752360, 0x320d6fe3, 0x888fcb3c, 0x97449f5c, 0x6de302ed, 0xf9232180, 0xd7a973f6, 0x23737d04,
+    0x41a02b04, 0x0cfaaba4, 0xc7e5befc, 0x11ab6a16, 0x4c23ac24, 0xe4925556, 0xa0e33d18, 0xe5b1343f,
+    0xe876e9d5, 0xfac8aa62, 0xca38f62e, 0xd616e611, 0x106ed49a, 0x83b27593, 0x2bcf4d60, 0x8d72954f,
+    0x9367d96a, 0x169226c0, 0xf63cc0d6, 0xd3ff2764, 0x0e3c971d, 0x5b3ca63c, 0x1e130191, 0xa4c77793,
+    0x7779e5e6, 0xff98d512, 0xb5158264, 0x348b62de, 0xa514da7b, 0x424ea366, 0x99ee229c, 0xafce5a14,
+    0x4fd4014f, 0x0ae1e2f6, 0xbfebec69, 0x6c40a548, 0xe18382f8, 0xe9cf950d, 0x443389cc, 0x7a35707d,
+    0x87a782e2, 0xdcd0c3d4, 0xeff94b92, 0x6e8106ae, 0x3a192ff7, 0x9c3d99c3, 0x301cdabf, 0xaebad3ea,
+    0xae45738e, 0x699ccd3c, 0xcc84f08e, 0xadcbb791, 0x119e6745, 0x9c6d6348, 0xe6425fda, 0xe13fa6e7,
+    0x2e3ec588, 0x2969cb62, 0xd247ef02, 0x52efc67d, 0x311daf74, 0x53021699, 0x83613312, 0xa5f54f42,
+    0x94e25a51, 0xce2d1b03, 0xf3a3768c, 0x29fb0cae, 0xee79dd0c, 0xcac5d88a, 0xc05263db, 0xf18e1c4a,
+    0x3e063abc, 0x218b755e, 0x800b0216, 0x069efa8e, 0x72274821, 0xcd1ebffe, 0x86a834ba, 0x69379ac4,
+    0x13e83fcf, 0xb9445948, 0x9efdda64, 0x01dc1a3d, 0x1dc4886f, 0x333e83d0, 0x5cc2c063, 0xcd41c660,
+    0x0d4a7f6e, 0x69aa3278, 0xbf5b5969, 0x4890db4f, 0xcef50731, 0xf9ab59e3, 0x9a6566c1, 0x1e3d3204,
+    0x3775a3cb, 0x1175c1eb, 0xc743ae3e, 0x450f48a5, 0x9ae894c3, 0x02fb9da3, 0xf9018096, 0x6d0357f4,
+    0xc0f88560, 0xc88e6d25, 0x688b41de, 0x4bc663bd, 0x0333e754, 0x404cb6c8, 0x8ae9d04f, 0x4a80f954,
+    0x312bfca0, 0xf80faf6b, 0x894fafe8, 0x90f3bb6c, 0x88230a4a, 0xc16be2a9, 0x8825b7e4, 0x62ab934f,
+    0x22e251fe, 0x2547ede5, 0xecc947cc, 0x5c302e55, 0x3ddbeee0, 0x5c792540, 0x150aec0b, 0x1906bbfe,
+    0x7e5d2310, 0x9fcacc6f, 0xd1866517, 0x710e1c13, 0x51f8f4dc, 0x48dcd2d4, 0x15ba42bc, 0xb560e2e8,
+    0xd764b73c, 0x84541dcf, 0x7eca499a, 0x07038707, 0x5aa5dd1b, 0x8b739616, 0x357d85db, 0x38aa55e8,
+    0x89aa289f, 0xac47bace, 0xa40d0916, 0x9a0203f2, 0x9fe701af, 0xc874ff9b, 0x3a4b0f54, 0x72c47156,
+    0x71348ddc, 0x5726b068, 0x00db5781, 0x0fca292c, 0x4e9f8510, 0x8e022054, 0x71f61bc0, 0x79c73aff,
+    0xcbacd00d, 0xe6959f4e, 0xe3590561, 0xbefa1d82, 0x01376ce6, 0x7d9edfa3, 0xd8ef8158, 0x699d795e,
+    0xa1e31322, 0xb43630e0, 0x3733803b, 0xd3b29899, 0x316258c3, 0xf4349eea, 0xd563369f, 0xab02fb49,
+    0x8b1fbd56, 0xd440f7d6, 0xfeeceffb, 0xfe688e7e, 0x9f7433e5, 0x356ee7c7, 0xcb2eda54, 0x4456015b,
+    0x54ba2b7b, 0x1be63e82, 0x5e3f03c1, 0xed4410f4, 0x31858ccb, 0x67676e62, 0x9fed78d6, 0xf2d05354,
+    0x38d61584, 0x4527b5ef, 0x9749eefc, 0x0f090cc5, 0xf70953b2, 0xe19e2bc2, 0x1039ffb4, 0xcb513445,
+    0x3a0af445, 0xbc1cdcf9, 0xe5f83385, 0xb01c17de, 0xde962152, 0x574c9ff1, 0xa3648ddf, 0xe7c3722b,
+    0x5aa6c2bd, 0x24d3edb0, 0xeeb0898e, 0x7b1505b6, 0xf018ce6a, 0x8cebaf57, 0xd283bc4a, 0xcde8c1b3,
+    0x2ce26bcd, 0x8650d31f, 0x2f1d6dec, 0x4f7682b5, 0xd1dc34b5, 0x1901cdac, 0xe6f71809, 0xe5007c6f,
+    0x1897520a, 0x271270a3, 0xdd4b5f29, 0x8cf57a6e, 0x31da2e91, 0xd7238515, 0xe2221a58, 0xa25eea8e,
+    0x7d6533e3, 0xde661e20, 0x6139f865, 0xad4b00f0, 0xd8c1354d, 0x5311e23c, 0x496ece02, 0xc06cd291,
+    0xa425f723, 0xaae61573, 0x1ada676d, 0xefa05493, 0x0c71a1cd, 0x0b8d131c, 0x122bc3a6, 0x7a31dc62,
+    0x1af95a20, 0x175ab290, 0x6025c8cf, 0xbfce2af3, 0x064b58a2, 0xd7dda1af, 0x029535b8, 0xb46ce438,
+    0x87d0cbc2, 0x7a302e8b, 0x13c696e3, 0x97023fc4, 0xa0f246ea, 0x3e9fdd0e, 0x912d5d11, 0x1d0385a2,
+    0x884ac99e, 0x23d0fdbe, 0x266d125e, 0xd78221fd, 0xfe899def, 0x51d20dcb, 0xf8319da9, 0xdc9bb88c,
+    0xbe4a7ade, 0x27e4dd7e, 0xe8acfcb6, 0xa6750d3b, 0xe230de13, 0x031dff07, 0xd5708624, 0xb15be582,
+    0xb5d9e3fb, 0x72d35879, 0x6c4cf6a4, 0x9325cff8, 0x6478a81b, 0x2a399ebf, 0x8e01a1db, 0x931e4241,
+    0x2e732750, 0xa815dfe0, 0xee537cb3, 0x45b6fa3c, 0x8959fb5f, 0xcd89403a, 0x7b7581df, 0xc0bbc60a,
+    0xd0bc9801, 0xd95ae0b5, 0xe103277c, 0xe5bc1b04, 0x289ed3ff, 0x75d99bc2, 0x1543e214, 0x558d79a9,
+    0xdc88f197, 0x6dea0cc5, 0x2ec1e5fc, 0xd34fe9d8, 0x2e6c5e07, 0x31f53ee7, 0xcd0fa57e, 0x9aff4924,
+    0xce6caa7f, 0xf4fb14fe, 0xde0f1c57, 0xb5f35e67, 0x57dcc0ad, 0xb544b517, 0x0af1719d, 0x5bf36e17,
+    0x53a36fcd, 0x3ed4107a, 0x8ae5976a, 0x4a30638d, 0x6716b4e1, 0xe2e3a73e, 0xc7d1ec06, 0x473b0786,
+    0xda49a983, 0x50d8d64a, 0xd3f67f72, 0xd7ae19dd, 0xf37837ed, 0x10ea7657, 0xfc04f5a3, 0xf0982f88,
+    0x6efbf97b, 0x27d3e05f, 0xdb09cae0, 0xe736783e, 0xa5345d44, 0xe2182bd3, 0x948e6947, 0xb3b142ff,
+    0x0a308e8a, 0xb6df1226, 0x990fc8a7, 0x1bc78971, 0x50bf7cc7, 0x59067c04, 0xb43cbc87, 0xa0515328,
+    0x18f9547d, 0x7aede534, 0x88ec277a, 0xce0e507a, 0xce1257fc, 0x76a8bc78, 0xe34c6c2c, 0x96698652,
+    0x1db45792, 0x4e0372b6, 0x35928b36, 0x8743910e, 0xd8734fa5, 0x68c1e70d, 0x1b78611b, 0xf2becfe3,
+    0x2d76f013, 0xb169a63a, 0x2745626d, 0x8bd9f4bd, 0x8941410b, 0xcc0c882e, 0x2f43dea9, 0x6daf2b58,
+    0x75600cb0, 0xb6ca4a09, 0x8ac243b4, 0x19903a28, 0x4b204bb9, 0x1617a3a6, 0xc56c6c35, 0x55d065c7,
+    0x23627287, 0xf3c0b61c, 0xb23d2b56, 0xf139d091, 0xba8b5b36, 0xe11181d1, 0xdb805bb4, 0xff6dc8e1,
+    0x906bed7e, 0x4e875acf, 0x8aaffdcf, 0x5404d238, 0x8983ba24, 0xa78307d0, 0x68536ed7, 0xb0c133d7,
+    0x4c3bdf16, 0x30b7de4b, 0x014190be, 0xc4d57307, 0x3fbb2bfd, 0x85d23faf, 0xbda8fdeb, 0x7b2965d9,
+    0x61e696a7, 0xb0c70b3b, 0x6edbaa50, 0x716ab79c, 0x6b3fe90a, 0x1af83518, 0x9221b3e2, 0x2c9621e8,
+    0x43eb2cf4, 0xc24c45a0, 0x2844d266, 0x3d9d3da7, 0x01cc0cab, 0x9709d3b6, 0xd499fffe, 0xf21eb6bc,
+    0xa1e1b8f5, 0x07bbcc8a, 0x39d76967, 0x8b5e1856, 0xb31d4757, 0x263348f1, 0x6b509966, 0xf0eebf13,
+    0xd53db7c4, 0xf23b75e8, 0x56ce2fc4, 0x26bcf403, 0x50425f93, 0x32efe9c9, 0x5bed71de, 0xc46a426c,
+    0xa39cf57f, 0x4de34f4a, 0xafc67b7e, 0x094f87c4, 0xa1fa5be5, 0xc90301a2, 0x50f86d81, 0x54c23f58,
+    0xe23dd895, 0x2709adcf, 0xf49829ef, 0x84c7fcd6, 0xbb9f2ea4, 0xa6095f4e, 0xc42e8d83, 0x8170c06d,
+    0x007696c1, 0xcd9e4687, 0x1d19a376, 0xeca4945a, 0x8a235e48, 0xcb1f0480, 0xf6612e49, 0x28773919,
+    0x42e0a898, 0x002fb847, 0xc0949004, 0x01577f48, 0xa95aff48, 0x6866511c, 0x2d44ceb8, 0xf0caa0c5,
+    0x5cf0e8f8, 0xe400f976, 0x82d1f6b7, 0x7ddcfb31, 0xa5e5b153, 0x3313c25d, 0xda53f7b6, 0x740a3865,
+    0xe6de8e14, 0xc2dfb3dc, 0x5d0c0a19, 0xbe73f58e, 0x96f11083, 0x57003fb9, 0xf60507c3, 0xfba758fc,
+    0x8a5bf088, 0x09aadfb5, 0x40742d14, 0xbbc7b91e, 0x8f2417be, 0xcef3ea03, 0x5bcc8491, 0xdcf60d92,
+    0xf0e3b62b, 0xaf495ef9, 0x9c199024, 0x22979b54, 0x17e7c82a, 0xcc9f00ad, 0xa96eb9a3, 0xde79cb03,
+    0x36839f81, 0xd8476aa3, 0x1ce8d944, 0xa6dd9208, 0xaeaf9025, 0xd40693ec, 0x4911511b, 0xa4ea2ad4,
+    0x46bb2b74, 0x99ee74ba, 0xc8a3852a, 0xc009f966, 0x427a65f0, 0xb6cb73ed, 0x6e3c3917, 0x6a348830,
+    0x8318c44a, 0x1ab807f3, 0x456c14e5, 0x57913706, 0xca9acf81, 0x358d5ee8, 0x3dbd00ba, 0x035eb93c,
+    0xff227f39, 0x9aba67cb, 0x02f1d874, 0x47522c49, 0xf3bd2e8a, 0xe2ceae04, 0x1279154f, 0x4100ea72,
+    0x733824d6, 0xc6798cb5, 0x94b552d6, 0x74d39ee0, 0x858847c5, 0x70257d86, 0x2b59b4b5, 0x542f9f71,
+    0x2eeb22f3, 0x37c3033d, 0xc1fd192e, 0xa28d315f, 0x597f8f1b, 0x5450481d, 0x12323261, 0x9b7d7508,
+    0xe08a7ed3, 0xe4ab65f8, 0xc04d5cf7, 0x2f8d6db9, 0x2b2ba3ff, 0x692adb8d, 0x5a488b51, 0xbfc1bfa7,
+    0x44b6bd3e, 0x951bf988, 0xbd792982, 0x7ed51bb8, 0xd26f85e0, 0xa1031105, 0xe1ad539c, 0x91d457ae,
+    0xaf13d294, 0xcf11a8c1, 0x8c650c82, 0xf7efb297, 0x9283b223, 0x65ec979a, 0x8646551a, 0x59ccc538,
+    0x4ba56301, 0xc5e76c31, 0x55011e79, 0x86c2bfc8, 0x902a1634, 0xd8543cbf, 0x7953455d, 0xf81858ae,
+    0x7a486809, 0x403c6296, 0x37db59c2, 0x89059885, 0xbe545fa6, 0xbaae6b95, 0xdd0c0eb2, 0xed172c29,
+    0x31f54898, 0x13e285c0, 0xb5f27e78, 0x4d964453, 0x6679ab88, 0x2bc3238e, 0x340db9e8, 0x382d2d17,
+    0x3f5a54c3, 0xca21ad0d, 0x1a927c57, 0x59e39bad, 0x8655487a, 0x89076177, 0xe91ae396, 0x5ead5526,
+    0x1fc21c31, 0xe485d294, 0x7df585e5, 0x80c4bfd3, 0x46c55652, 0x92a454ac, 0x93baaac7, 0x66c77cec,
+    0x109ab1e7, 0x60faa1dd, 0x0cac61a4, 0xee993e0e, 0x1b9f5a84, 0xa375741d, 0x89e88d63, 0x26f5c627,
+    0x595c4527, 0x66063983, 0xd0a845a7, 0x9f0a6b89, 0x1916fc5a, 0x6b61d11f, 0xbc69205b, 0x71c5e709,
+    0x35fe5901, 0x5e450937, 0xd3f73fe3, 0x258e6eb8, 0xdf4bf551, 0x0612bdb9, 0x6a462c36, 0x95d23234,
+    0x3d78279a, 0xb5023f71, 0x57b017f6, 0x44856f8e, 0xef0efab5, 0xa5c12187, 0x079be5e0, 0xaafd0e36,
+    0xb6263bb4, 0xa3f306ef, 0xf383169b, 0xdad1f280, 0x39ac850d, 0x596c0b38, 0x974c4294, 0x1176cd58,
+    0x2cd421e9, 0x295dd3e0, 0xf630bd7a, 0x33dfbc18, 0xdf24f764, 0x57866147, 0x500e0f46, 0xe89027fd,
+    0x3685a637, 0x57607181, 0x5727717f, 0x77901880, 0x3d2fd866, 0xdfeaeeff, 0xc0e563dd, 0x0a7a91fc,
+    0xa705528c, 0x08f4ba10, 0xa3a6a9c2, 0xbc3f6b21, 0x4c3f3eea, 0x16a2bf76, 0x24b52f65, 0x7d528415,
+    0x389836d2, 0x966cf0ee, 0x9d274f18, 0x5a196446, 0xfe677748, 0x18de2290, 0x35ec55c9, 0x1cf81c58,
+    0x337acbde, 0xc48a773a, 0xb664e875, 0xa046339e, 0xf65b9fc3, 0xdce87f64, 0xaf39126a, 0x099fc72e,
+    0x3e0bc264, 0x6365eecd, 0x6f90f20f, 0xac60dc45, 0xd4638fd7, 0xd8cf7743, 0x3008f846, 0x89d16ea2,
+    0xb984cd9f, 0x59bb8c85, 0x6c1a815e, 0x9acb1cc7, 0x84e193c1, 0xac8c19b0, 0x9ac7e98b, 0x0edc3473,
+    0x46a1c2ca, 0xe38541f3, 0x7089c2cf, 0xe9cfafbe, 0xa9328440, 0x1666174a, 0xe6c6105a, 0x0a1ae6d9,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000021872507247830119243725\
+                          02227117621365353169430893212436425770606409952999199375923223513177023053824 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6,
+    0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe8, 0xc3d317cc, 0xd7810b11, 0x57062e0d,
+    0x00000000,
+    0xe6ff02d7, 0x813a4d73, 0xf4ae2b11, 0x088a3b8a, 0x05eb75c4, 0x742c1139, 0xe7c4cd33, 0xed4ce3c7,
+    0xd2818b61, 0x96882c2e, 0x23d702b8, 0x393f9a77, 0xe5c8641c, 0xd1c17604, 0x3e35358a, 0x78602bd4,
+    0x9f3ec75b, 0x012d1ec6, 0x0da572a1, 0x2b05c0bc, 0xf4b8ba9a, 0xe3ad5c20, 0x688610f3, 0x15434cd5,
+    0x54c5cff6, 0x8bbd8246, 0xa1101c17, 0x10961fe9, 0x8787317f, 0xed5d33a2, 0xe45ff780, 0x298f3627,
+    0x47a011e2, 0x9fe92b99, 0x1744b0c9, 0xda5277b4, 0x27c67fd7, 0x63f85fde, 0x6faab941, 0x7899c431,
+    0xbcf7d7b0, 0xc94fd0d3, 0x7ee923c8, 0xf0164b0a, 0xe18adb6b, 0x8862d4bb, 0x6a353be3, 0x1040cd20,
+    0xb6cab1a7, 0x0934b623, 0x2957217e, 0x82ca73b2, 0xac4afcc9, 0x0cb42203, 0xff77f65c, 0xfcc1ff42,
+    0xd9b94273, 0xa97ffc81, 0x23cc5f44, 0x8607c06c, 0x0870ca1f, 0x6e5bb17a, 0x5772018e, 0xa91e62a4,
+    0xd1a0c939, 0x8f25124b, 0xf08559ea, 0xc0c2ce31, 0x2cf201b1, 0x4a701adb, 0x45ef3784, 0x1cc0d1fd,
+    0x802be3fd, 0x82a09aad, 0xd239296e, 0x543a913a, 0xa14c8568, 0x190b771b, 0xa5a443b8, 0xca11ce83,
+    0x2d14b385, 0x87de7439, 0x09559a66, 0xad37db33, 0x47f1b443, 0x45260176, 0xe63ca281, 0x542bfd57,
+    0x75d24ab4, 0x5c9fbef5, 0x16a9c3da, 0x73bd1354, 0x3b8dc9cd, 0xee448521, 0xcbb5a766, 0xad2af991,
+    0xb0729094, 0x07cd19d1, 0x1b2df665, 0x786cf3cd, 0xd6e11506, 0x750385fc, 0x3eebfa7d, 0xd178c20b,
+    0x982da744, 0x78437051, 0x40e570b2, 0x7e059f43, 0x4724a253, 0x2f68c947, 0xd895ee34, 0x4aa637cd,
+    0x6a873681, 0x25365cd6, 0x8ccdfbd1, 0x7dd25b5b, 0xc4ea5692, 0x7f3ce6a0, 0x24842d97, 0xfd260ba5,
+    0x1e267ac2, 0x486ad69c, 0x569fe1e9, 0x9098e9fe, 0xf899fc55, 0xf24538ce, 0x46d2bbcb, 0xab1f0eb8,
+    0xb91df61c, 0x0e6eaa0c, 0x30cb1e12, 0x307d4f93, 0x60ae7b0f, 0x636d04e3, 0x50105d00, 0xa205d6fa,
+    0xadab2f0d, 0x18e2191a, 0x002568ea, 0xfb85cbc5, 0x5fb3e1e4, 0xaf1ff1ff, 0xe4b354ad, 0x6b3f63e2,
+    0x5a2a610b, 0x610fa8fa, 0xff788eb6, 0x4a55bc5d, 0xa2cab1cc, 0xb7116a73, 0x73cbca6d, 0x08b15b47,
+    0x9cc3a0b2, 0x0bb3237a, 0xaf9f3e51, 0xdae96a70, 0x8bdae577, 0xef5bde7b, 0xd2ccbad8, 0x42ac4bcc,
+    0x407e8d7b, 0xce61a8ab, 0xbc72dde3, 0x8e14924b, 0x7984d47b, 0x5d5d6a7e, 0xd2a11f1d, 0xc2e656b8,
+    0xd4a8ab1c, 0xc42819dc, 0x604bd994, 0xdad9f61a, 0x9d6b3738, 0x74185bd3, 0x6e56de60, 0x9b256049,
+    0x4ac9adef, 0xb15c2b72, 0x5b582afb, 0x093bd384, 0xb931a97e, 0x3cdebc66, 0x10061f9a, 0xb2632b3b,
+    0xba689457, 0xdc130231, 0x6b9e0609, 0xee53438e, 0x7ef5c54e, 0x646a610a, 0x67994ac4, 0x0756777a,
+    0xb6fb04b2, 0x67076653, 0xb4fc7c5a, 0x42dfde86, 0xfe931a27, 0x076e5c09, 0x93196e3c, 0x51a20522,
+    0xfbe10a20, 0x04baa798, 0x0c456ff3, 0x26c819a6, 0x5165ad05, 0x407d8964, 0xa829e458, 0xc214d1b7,
+    0x281f08d6, 0x1a982a59, 0xb99ca264, 0xc301278e, 0x9e058e12, 0xb46eee1a, 0x3e254e0d, 0x4d2b2853,
+    0x27d7d813, 0x6ecf9704, 0xfee262e2, 0xb642a223, 0x0912d1d8, 0x08c57ad7, 0x250a8dba, 0x70ff176c,
+    0xa6e4c6c9, 0xf1a51bd6, 0x500d94f0, 0xb216c005, 0x9941643d, 0xb7c71ac5, 0xd3b5b4a8, 0x9bc6b4a6,
+    0xf8969254, 0xa4dd35da, 0x4ffde9e6, 0x2f36f4e6, 0xb00d8d52, 0x9e28e8ce, 0xdad8994b, 0x2898be86,
+    0xd21677e8, 0x3b7ae403, 0x8cba1111, 0xc2269744, 0xdbfce874, 0x25d1ee8c, 0xc6c6f677, 0xe11acb27,
+    0xe638e159, 0x2311a018, 0x927930dd, 0x173e5f6c, 0xdef967a2, 0xf6876598, 0x5a3e2a6d, 0xc6b3f5f1,
+    0xbed2aa17, 0xbbbdd762, 0xea08e5f1, 0x1de14128, 0x57d73115, 0xff0ec7f5, 0xc35f1b9f, 0x4afaef8b,
+    0x3c227e27, 0xe665e446, 0x28576d2e, 0x6ca85bf6, 0xdc9a5420, 0xbed3953b, 0x879097f7, 0xdb6f5320,
+    0x26082fa4, 0xe469e774, 0x81def867, 0xb007f0fc, 0xdc4c5c2f, 0xe421127e, 0x1b939dcf, 0xe93d98ed,
+    0xbb6a19b5, 0x20868247, 0x20760aa0, 0xc7a5c8ab, 0xec975ed1, 0xf0c18a23, 0x1d98e0bb, 0x03a08def,
+    0x0e622f47, 0xd357460c, 0xd0b0ac1e, 0xdea8747e, 0x80c0a38d, 0x457c5aad, 0x086bbadc, 0xda611dcb,
+    0x491ca144, 0xa05790b4, 0x298c44bf, 0xb6d67170, 0xfd30d5ec, 0x5d5010dc, 0x3d036424, 0x8fd6b099,
+    0x0b5cca69, 0x8caff2dc, 0x9ef43a84, 0xb030411c, 0x4cb2c56a, 0xbcada241, 0xa0ebf398, 0x5843f86b,
+    0x648d2a19, 0xacf03389, 0xed8f1dc4, 0x371beecd, 0x39ce8049, 0xcdee81c7, 0x9fe31e03, 0xf4c0d589,
+    0x97df21c4, 0xd667abcc, 0x6cc0ee21, 0x7540bcc1, 0x417863e4, 0x842fee64, 0xb2ffba23, 0x763a9581,
+    0xcec1ad4f, 0xfbe0d6c7, 0xdd2351be, 0xbafb85f0, 0x87268a6f, 0x1fc8f0d0, 0x6a4a2f44, 0x13bd9c8e,
+    0x83803adb, 0xfb0f14a8, 0xed545c19, 0x14c2b190, 0x00eb0664, 0x2fb5afd7, 0xbbecb69e, 0x2969bf5e,
+    0x0a6ed3c4, 0xa6983db9, 0x33a52dee, 0xc455ffd5, 0xb76422a5, 0xab4f1cee, 0xc1e988fd, 0x3b388d44,
+    0x321eb4fc, 0x24a985fd, 0x698511b8, 0x4daa6a7e, 0x9fdd2db3, 0x2f1f59fc, 0xeabce5ee, 0xfc6bdcbe,
+    0xb041dac6, 0xbfceb329, 0x1995ce82, 0x5de81cfe, 0xc465ee8d, 0x9dcd22f4, 0x7c6d7638, 0xb72967a7,
+    0x7053300a, 0x2a1f0111, 0x96ce85e4, 0x886ba763, 0x3a88f4dd, 0x6e073d8d, 0x73e74e57, 0x090d5bd0,
+    0x36404bda, 0x8d36c842, 0xa6ed5722, 0x38a58ec9, 0x33434e42, 0xfb6e6e56, 0xe430157b, 0x37da8377,
+    0x8fb1978d, 0x5025afc4, 0xca141695, 0x6ff38844, 0x715fa5e1, 0xbdea6571, 0x8d83d98f, 0x6a28ae7f,
+    0xc763312d, 0xdafdf949, 0x18481a66, 0x068c2abd, 0x17559cd7, 0x9750ebd4, 0x106ac8da, 0x82d0cca1,
+    0x174ea5b6, 0x28e820c2, 0xbf2f8491, 0x35ef6d87, 0x33e3857b, 0x1d09a1c5, 0x9369970a, 0xb12a88b8,
+    0x6e48b1ef, 0x71cdcd3d, 0x5adb0e55, 0xdcd1d7d6, 0x5561d151, 0x330c1210, 0xac018ec2, 0x205d4c57,
+    0x5ff7e81f, 0xcbd0f229, 0x51629731, 0x25b8ad94, 0x374a224a, 0xf2f456a5, 0xcf60bfb6, 0x051ff657,
+    0x336f8475, 0x1a26b282, 0xe8159c88, 0x9df4984c, 0x161cfae1, 0xc4c7fc6e, 0x8dfb3815, 0x6825a610,
+    0x266a9aa6, 0x101730f1, 0x9e70c793, 0x745f2805, 0x6bf80af0, 0x4f940d64, 0x3082fa81, 0xeb93aeb4,
+    0x679eeae5, 0xb9b46795, 0x91795111, 0x35e800a5, 0xf735f682, 0x5ed791f1, 0xaa9acdc3, 0xb7222cae,
+    0x067383e4, 0xbca9d58e, 0x295af899, 0x0eb8fe8e, 0x6e398c61, 0xd478105d, 0x84241139, 0x9b750b74,
+    0x476f7d86, 0x665d6969, 0x5d3a6ede, 0x9f0beca1, 0xf239be87, 0x1679de22, 0x4ae271c3, 0x5b1983cf,
+    0xae3740fe, 0x4776d297, 0x44f060ca, 0xa67c89fb, 0xcf242aa2, 0x8bf09ea6, 0xa4e597f7, 0x3b3e0d41,
+    0xea159fa0, 0x47238fb9, 0x5416138e, 0x77ea64b9, 0x2e16f36a, 0x0784693b, 0xa78bec19, 0x386a35b6,
+    0x7c01ea00, 0xe1f4ab9c, 0x55d41f95, 0x4ec5d0cd, 0x54638a10, 0xa295c21c, 0x161809e0, 0x473efe09,
+    0xa6975d80, 0xadc01a05, 0x2cbcb710, 0xc28c65e3, 0x66ec26d9, 0xb906ffbc, 0xf8dcb050, 0x4700d0b0,
+    0x5e47e4d9, 0x0ba07775, 0xf064fd90, 0x5d7465ab, 0x153a4ead, 0xdbb9fcd6, 0x1aa9bf84, 0x0c7aa07c,
+    0x2bdfa388, 0x0d029562, 0xfc5b6f00, 0xce3f3b3d, 0xda29f5ea, 0x9ddf061c, 0x2da2774a, 0xac1f5916,
+    0x070c5555, 0x87a3750f, 0x31fa6fb4, 0xee10d6c5, 0xb647c991, 0x9a8526a7, 0xbf076447, 0x5a1b7451,
+    0xfe4282f5, 0xcc754eb9, 0x5d3ea866, 0x27a0c452, 0x0e52ce64, 0x9430ade4, 0x983917a8, 0x398d21f7,
+    0xf7ab3e61, 0x9e44f8f5, 0xb680604a, 0x8be96f7a, 0x512a1899, 0xd99b2726, 0x46d56376, 0xafd406e1,
+    0x6b8c284c, 0x115cfb3a, 0x80fcfe38, 0xdd7401c7, 0x953fb0d7, 0x0d91b676, 0x0f5881ad, 0xe2a3460c,
+    0xe18c1c59, 0xbf414b5f, 0x6a26af94, 0xb6c7468d, 0x8265d916, 0xc7dd4106, 0xf4416a01, 0x73a72358,
+    0x7e9948bd, 0x33d63c62, 0x0b571c1e, 0x443cb0f3, 0x2919ac8b, 0xadf00ed6, 0xab76c172, 0x93b43e7f,
+    0x6e6d51a1, 0x28028a0c, 0x65472314, 0x40a9c90d, 0xa0c9ce61, 0xf6fe6b23, 0x2f114e8a, 0x31ec68b8,
+    0xe6aa97bf, 0x0a294d90, 0x91de7d1b, 0xaf0797d3, 0xeaf4a872, 0xe23eccf2, 0x51fe36a9, 0x9935f749,
+    0xf5c3fa64, 0x2f50baf0, 0x73eddbe5, 0xccf3c404, 0xb2c2edbc, 0xf58bd98e, 0xea0be654, 0x06cd7472,
+    0x7e408383, 0x690e5610, 0xb9a5809b, 0x18da0f5d, 0x1491258f, 0xc1dee976, 0x1ce78891, 0xb3deac94,
+    0x52f03fd7, 0xea547a27, 0x926f10ea, 0x8a3dca68, 0xe83bb419, 0xde05ccf7, 0xddeff61d, 0x49e44ed4,
+    0xe4e8a145, 0x86a41952, 0xca9f61cf, 0x4cf24b56, 0xa6b3ce1d, 0x210effc5, 0x186cf16f, 0x4234d260,
+    0x50e9b1f3, 0x5d37867e, 0xc0d91ed3, 0x35b7054a, 0x82f5f9e7, 0x5fad8793, 0x1cf8ecee, 0x6c22f833,
+    0x2af106c4, 0xd208fe76, 0x8049e44f, 0x0100c7e3, 0x9c8d8aca, 0x058a2595, 0xd1b4cb57, 0x16d0a06b,
+    0x0a64a96d, 0x69740bd6, 0xe879733d, 0xbaffca36, 0x7fbeaf22, 0x59c85c33, 0x9cdda113, 0xac1fde85,
+    0x40d192ae, 0x42b4ad09, 0xfebecd76, 0xd3317c93, 0x42b5b084, 0x9835b8aa, 0xfc3500e7, 0x3a331d3a,
+    0xb9cc6f4d, 0xd94aa773, 0x32a57d56, 0xf48f279e, 0x1444a66f, 0x93c2279a, 0xf25b7323, 0x089632ec,
+    0xaafa25bd, 0xf2ef2fcc, 0xaa3c966a, 0xe3637e05, 0x03af2338, 0x5e4484ed, 0x076116ea, 0x4d2ba701,
+    0xa5e0fdd2, 0x7ab5fff1, 0x346cbdb2, 0xe4374093, 0xdd3fb7ff, 0x406d62fc, 0x7454df1c, 0x17dd290b,
+    0x1d5e84a3, 0x8591cb2f, 0xda25a586, 0x1ea155f4, 0x9b51a652, 0x5af2c747, 0x5e300c39, 0x29109b9d,
+    0xf76a8ebb, 0x21bd1e5b, 0xe6b71f4b, 0xde789354, 0x9ef11282, 0x1736e49a, 0xdfba831a, 0xf7780e14,
+    0x446414ba, 0x3f536dad, 0xbd3136d0, 0x85f2e366, 0x3024cf03, 0x9bffe8b2, 0x9ac6dd4c, 0x9ef8015b,
+    0x07ab4fa1, 0x6c4782a0, 0x9e543387, 0xe58e3a83, 0xc46a2ba6, 0x62ea35c8, 0xd567b0b4, 0xbdcb3ca0,
+    0xa1ded4d3, 0x53c03669, 0xb91325b6, 0xe4a7ef4b, 0x3b029d4f, 0x7accf934, 0x8acf11ea, 0x23b9bb66,
+    0xec0c9cb8, 0x7d155e68, 0xc54cec2c, 0x96015cf3, 0x78c6ac32, 0x2fa333c1, 0x98b293ad, 0x34565e76,
+    0x587a1b09, 0x72779ad1, 0x20fa5952, 0xdd7f572e, 0xe59ddb2b, 0xc56eab65, 0xbbcc4e41, 0x0ae3b2dd,
+    0xab068858, 0x00ea597a, 0xb65700b4, 0x1e7eacca, 0x15f4f483, 0x9af31349, 0x31382219, 0x2de661c0,
+    0x0cdddf5d, 0x331c7aa6, 0x1762cb39, 0x99793cc7, 0xbce66c29, 0x18d6caea, 0xc6ccfc5d, 0x002babb8,
+    0x1e8b2dfe, 0x8b768a44, 0xcc6f1255, 0xea477f08, 0x7353fd6f, 0x585e49a2, 0x8f7490c0, 0x555d41ad,
+    0x0f5f4865, 0x5fc91854, 0x119f5430, 0x9b6f69dd, 0xeff07d3d, 0x8d3deed6, 0x14427a2c, 0xa523d940,
+    0xf2e36630, 0x716a837c, 0x33ecb35f, 0x25bc0bb8, 0xd55b74e2, 0xeb0919cc, 0x282f3036, 0xde427467,
+    0xe0fc6db0, 0x50349ed0, 0x87dba389, 0x838e8304, 0x4768d438, 0xdbaa3d18, 0x9ea82a29, 0xb6c0f188,
+    0xf07ef016, 0x8e3b4dae, 0xfcb43473, 0xf4d5d3ba, 0xed674e88, 0x71efc289, 0xca01e83d, 0x7eb72c1a,
+    0x505059ee, 0xcd7acf41, 0xdd4e8588, 0x183eb6ab, 0x14a7b07f, 0x90bb2d5b, 0xe48248a1, 0x239c65b8,
+    0xa4055f4f, 0x57b8a182, 0x6ef0b88b, 0x5129d8bb, 0xd76fe1a6, 0x2fbd6075, 0x5b72f1be, 0x9af26128,
+    0x0604d576, 0x4ae8ad43, 0x7fe1e75b, 0x315e4cc8, 0x22ad113f, 0xda9e097c, 0x1041cfb3, 0x6ce259d6,
+    0x3526f76b, 0x4d78ef34, 0x0a74aff6, 0xe3b0e1b3, 0xcb001760, 0xabfd200e, 0xebf89fd2, 0xe53ff03e,
+    0x8b8a7c71, 0xc38e61a6, 0xb49a1462, 0xeac6f19e, 0x64de119d, 0x520f962e, 0xc78060de, 0x0e6f0ba6,
+    0x3e6fa015, 0x6c84af82, 0xa445d8b5, 0xb18b3972, 0x2da02cfe, 0x9b92c097, 0x586cd906, 0xcda722d4,
+    0xa5b00e2a, 0x2a4af5d3, 0x73e76bd1, 0xf4a5cf81, 0x5d558777, 0xbcb97495, 0x13629280, 0x28a0ff38,
+    0xf758da46, 0x3325acd7, 0x2517ae8c, 0x0a8d624b, 0x1a6e565c, 0xb3db4208, 0x22574e74, 0xf7687f99,
+    0x0921cd8b, 0x5f289d56, 0xdd196960, 0xce6e4579, 0x7ab6d2c7, 0x3af6495a, 0x49f46ba9, 0xaf4276ee,
+    0x795391d5, 0x9f6a17e7, 0x5293a6b6, 0xf1def380, 0xfad744b3, 0xb92bfff4, 0x4cde3420, 0xc0d617a7,
+    0x47d2d2e4, 0x2ed04937, 0x85752de1, 0x6080a550, 0xdf4f2237, 0x93fd4cad, 0xeaa2a08c, 0xab64e978,
+    0x1b6eca47, 0x25afc239, 0xf64aab0a, 0xcb8b78f2, 0x610ccbff, 0x145b3195, 0x8c217f51, 0x055768b3,
+    0x9490660a, 0x10abb48b, 0xd557dd6a, 0xc7cdf6b3, 0xfc294ef6, 0x1c92aac5, 0x467ef83a, 0x164171fd,
+    0x23d5e26d, 0xbac23467, 0x806ad6ea, 0x660aab01, 0x976e680d, 0x1bab23cd, 0x30f31db0, 0xd3aaf589,
+    0xd099d9c9, 0xfa41799d, 0x596613ac, 0xfb3c8658, 0x58b86411, 0x249f18f3, 0x4266925f, 0xe9c0252f,
+    0xfeed312d, 0xd1e2c9c7, 0xc9ace0d2, 0x01204e72, 0x07571ce1, 0x8e49d9f5, 0xfd93b46d, 0xb9e32995,
+    0x544048f9, 0x47c0f33c, 0x166d1291, 0xcb9f1fed, 0xc5172e7e, 0xa24a3143, 0x88e86d1d, 0x1e2b8992,
+    0x6761028c, 0x1fa05e7b, 0x541448c5, 0x2b16a187, 0x7a09029b, 0xcad89278, 0x442f2546, 0x8ba907cb,
+    0xded388d0, 0x76ab635f, 0xfa3586c0, 0x2d949006, 0xfd3dda09, 0x6bdcaf2c, 0xae3fde09, 0x459de35a,
+    0xb841c17c, 0x0143d151, 0x62ef4175, 0x9602a8b5, 0x96a28ba0, 0xc011b805, 0x4dfa0dbc, 0x163ff1d9,
+    0x56c6a47f, 0x080a6567, 0x239d0eea, 0x80a3cdb4, 0x29d1e588, 0x64714045, 0x9eab36e1, 0x593c72e9,
+    0x897910d9, 0x8cc70b74, 0xa53c5498, 0xf5692ecf, 0x02d0bb82, 0xf665db00, 0xfc174e51, 0x00b1583e,
+    0xf8108c4a, 0xc937ce35, 0xa04c67b6, 0x3f591339, 0xba6909a5, 0xc0d15d9f, 0xf13f2dfd, 0x06e502c1,
+    0x05a6a0ab, 0xbbb9e2d5, 0xb1dfe06b, 0xf80eeec7, 0x0945600f, 0x732f7974, 0x3ce0af8d, 0x900516ea,
+    0x3488d2cb, 0x599aa3a4, 0x220333c5, 0xcf2bcf26, 0xc1a88b56, 0x8be43dfc, 0x51d637a7, 0xe01b3543,
+    0x7ca96046, 0xade52d47, 0xf1a39731, 0x246bff2f, 0x3a34c1fa, 0x00584048, 0x3ec83770, 0x3cca6147,
+    0xf9bc598a, 0x86c04ad9, 0x24bb92d3, 0xc0d07b2f, 0x176527c8, 0xb176fc92, 0xa2ee16ec, 0x76ee2586,
+    0x87ac24d3, 0x2aa02562, 0xe5599ec9, 0xacc6d4c0, 0xfe5dbe22, 0xcfc7bd81, 0x7ad283f8, 0xcdcc83ee,
+    0x9a791a7b, 0x9885a1af, 0x97b7b0e2, 0x8ed63d60, 0xa8fdd96a, 0x7385a6eb, 0x491498ac, 0x667f618d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000010936253623915059621862\
+                          51113558810682676584715446606218212885303204976499599687961611756588511526912 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db,
+    0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf4, 0x61e98be6, 0x6bc08588, 0xab831706,
+    0x00000000,
+    0xabf3b92d, 0x6c1d5bd3, 0x1d163617, 0x8874b910, 0x92d2130f, 0x31485213, 0x959fcc7c, 0xe475209f,
+    0x479b6a8e, 0xd736fa30, 0xf5090b08, 0x86481c11, 0x5e111242, 0xab4f73d4, 0xcbebbc4c, 0xd9260255,
+    0xc524cf03, 0xb858666b, 0x0c680113, 0xad3373a8, 0x5472f25f, 0xa998b2ab, 0x0d1ae1fb, 0xd95c7ea5,
+    0x9af687b0, 0x4ae2cc83, 0x4e8979b0, 0x008dd781, 0xc83647cf, 0xc3efb2a3, 0x23fa1da3, 0x20183116,
+    0xc1f532c7, 0x3fbb6d5a, 0xf534258a, 0x1ffb67f4, 0x522a4425, 0x77dfca62, 0x123a828b, 0xcf390b69,
+    0x88f1cb23, 0xd253abd0, 0x3ec700d1, 0x4f04efd6, 0x119b3bea, 0x82ac2f47, 0xd1e2416d, 0xd5c6da2f,
+    0xc69aca55, 0x919f3c9e, 0xc2e3978a, 0xe641746a, 0x26ca8258, 0x074ec8f9, 0xdb14d2ae, 0xc7ffa915,
+    0xfc247aa2, 0xd5a878be, 0x355225ee, 0x640d6571, 0xd41dda6d, 0xefb08f3e, 0x9e5300f4, 0x96ebd8c6,
+    0xfdb96561, 0x64a6a29e, 0xb30c46f3, 0x93750e10, 0xf56f1c69, 0xad29b6a9, 0xa9ef8e33, 0x6f611f86,
+    0xe99d9dff, 0x5ea3a36e, 0xccc6c136, 0x8468ee43, 0xf7b2a153, 0x50e1f24f, 0x555a5573, 0xe2b27415,
+    0xbfbd7b18, 0xadb6c6f1, 0x95fb93f2, 0x80da93b7, 0x11bccff7, 0x503ac8c9, 0xe2a54d87, 0x28b31d01,
+    0xbec62334, 0x9376a029, 0x9afde7c9, 0x24f5e29f, 0x912d60c3, 0x45838db0, 0x6ea06afd, 0xc80d8c75,
+    0x99190b43, 0xf7ffb28e, 0x6cd390af, 0xb47fc6e5, 0xf39f4c4d, 0xd0010255, 0x5f36a05a, 0x21da4513,
+    0xa53ecfbc, 0x18362510, 0x4281667f, 0x7db47609, 0x4e8ffd98, 0xa98c47e7, 0xf6937f01, 0x80929f2d,
+    0x25f4049d, 0x5c75c135, 0xa56a108b, 0x7250feec, 0x3ed5c555, 0x242f3f86, 0xdab4fb63, 0x3a5a90f6,
+    0xc4a8f9dd, 0x80893dd0, 0x1ddc2c14, 0xc7726e4a, 0x9ad2fb7c, 0x2b82f22a, 0x447b215f, 0x948b85c0,
+    0x06ccf581, 0x9472dfd0, 0x064e34c5, 0x5b5a7581, 0xe98c2b19, 0x238a9213, 0x0a212b40, 0x7d3f4f93,
+    0xaeb7d459, 0xd05abff0, 0x8efa9ff4, 0x2ad9887b, 0xfdd100e7, 0x862c0c2b, 0x013d2662, 0x69e42fcd,
+    0xcf45de48, 0x6c91849d, 0xa8a4c960, 0xaba6b4b1, 0x9b4bf5fc, 0x6cbb21f6, 0xf3de43f1, 0xc5ff3988,
+    0x8b81afa4, 0x9ab95ca8, 0xd8c1a0a9, 0x74fe8d1d, 0xdff65b38, 0xee55ee79, 0x7bd84307, 0xf5e653f5,
+    0xceb23b5b, 0xe3c28799, 0xda149711, 0x46ab79bd, 0x14e047bd, 0x7235bef9, 0xe2d8d148, 0x5bb12782,
+    0xd528793b, 0x37626009, 0xe15a0c76, 0x924546f0, 0x3aa8740e, 0x0d8131d0, 0x1a001000, 0x9aefc08c,
+    0x06bac8a8, 0xd080881e, 0xb726d090, 0xd31126e7, 0x7822b571, 0x43ac26f0, 0xf4a77855, 0x7d56f083,
+    0xe09f742e, 0x9c03a81f, 0x3f96fe0e, 0xd2bf7713, 0x88d2c367, 0x9fcd1d95, 0x61018ff5, 0x4b8e6220,
+    0x558d4bb7, 0x2757b473, 0xf8b45c4c, 0xf139cbb8, 0x163a7196, 0xe97808bc, 0x6c7215c6, 0x936dab3b,
+    0x4f679e0a, 0xdf2dda7c, 0xa0ac85d0, 0x6d4633b9, 0x52601eea, 0xdb4ab5ad, 0xb905b1ad, 0xe5a29cd7,
+    0x331746cd, 0x7bc53431, 0x3d73af77, 0x71183f36, 0xac353366, 0x0659f83f, 0x19eb1916, 0xc8fd2f54,
+    0xe4069cf9, 0x9282fe80, 0x89649af4, 0xf5a6e5d6, 0x2441267e, 0x8c9556f1, 0xa145aa77, 0x8873a34c,
+    0x5168bf0f, 0xda28ef42, 0x9d720e34, 0xf30b0d80, 0x94fc143f, 0xb2372579, 0xaff952c3, 0x48ebe47f,
+    0x76798645, 0xa6f63d80, 0x5338c2c6, 0x5bac57fb, 0xe4ff1296, 0x781c98a7, 0xc56a5d28, 0xb08e2b46,
+    0xacb2fca1, 0xe3c5b839, 0x4cbfdaad, 0x135860c8, 0xcf33ca78, 0x3bdbdb73, 0xf720cb29, 0x707f0543,
+    0x40f9fcb3, 0x2d9ff208, 0xaef737f0, 0x78ce24e0, 0x9093390d, 0x83255695, 0x7fe6555b, 0x353484ad,
+    0x9f42921e, 0xcce342ce, 0x91e70aa8, 0xf8ad9d14, 0x0506e7db, 0xf4ba8057, 0x2957027b, 0x202a47d2,
+    0x8510bf36, 0xa732c683, 0x89897e43, 0xc45ab66a, 0x8dc3ac9b, 0xe982d237, 0xd8bda471, 0xfbe282b8,
+    0x404fe282, 0xa1167b29, 0x838656fd, 0x8814bc97, 0x0ecef463, 0x3470d4a9, 0xaeef2cbb, 0xa3a0499c,
+    0xb1262682, 0x627e99f1, 0x2ef38557, 0x7180d398, 0x8f3da335, 0x66885a3d, 0x7b85c07f, 0x6cc96e56,
+    0xff99cbea, 0x03beee16, 0xf3e75367, 0xa42e6444, 0x8a9e4574, 0xa11f6f75, 0xe20a3c7c, 0x21016677,
+    0xcba0a801, 0xd1ae146d, 0x70f4254e, 0x32da0c75, 0x161e660d, 0x93943aa4, 0x8f997011, 0x39f130c3,
+    0x6eb26262, 0xcf340270, 0xbacc6239, 0x4a6e6aef, 0x97724844, 0x8a437868, 0x938a53b9, 0xa5cf746f,
+    0x47687ff1, 0xb1192fe0, 0x8901f065, 0xc2776c92, 0xeeb0e9da, 0x4d1edc81, 0x2da2b6eb, 0x23b8d85f,
+    0x30d8ae0c, 0x2a45061d, 0x73949f99, 0x52d5dc05, 0x4a1853b1, 0x9097f781, 0x1d1be3ae, 0x8d388c90,
+    0x75b8650e, 0xf4174eff, 0xfd654f71, 0x93669ca7, 0x054457cc, 0xc1c6e500, 0xd243a320, 0x9d10ffa3,
+    0x726251e1, 0x8b82026e, 0x69778769, 0x270a078c, 0xc72d97af, 0x5a9fa33e, 0x30438e11, 0xbbb6e3b0,
+    0xfca4b15f, 0xda4333b7, 0x89856aa8, 0x28ee5397, 0x6bc58661, 0xe45a5942, 0x57b7115b, 0xf7e4afa7,
+    0xd5823605, 0xdf8c17f0, 0xb7994869, 0xfc47a95b, 0xf68475c5, 0xa1f0ef02, 0x910fbe44, 0xb401da1d,
+    0x8118b490, 0x87d72af2, 0x1b0368bf, 0x3ff0775c, 0x8263137a, 0x3ccebc45, 0x52aaa1b1, 0xf5e342bc,
+    0x72198507, 0x65a5d8da, 0x444e676b, 0x88c830f9, 0xcf30473b, 0xfd32c0ab, 0x8ae26859, 0x2627e3fa,
+    0xe59a7bf1, 0x09297ce2, 0x40e0eff6, 0xe51b518a, 0x1bcef748, 0xe18ae964, 0x1f0b6231, 0x7333f4e2,
+    0x350c130e, 0xce3a1450, 0x9d9f9033, 0xc8288428, 0x9a544d81, 0xb1d69030, 0xb5faa81e, 0x302d8723,
+    0x907f6b03, 0x03a82e95, 0xd2a7e909, 0xa49f7fd4, 0x28cd5bed, 0x2ad88df2, 0xa7f8aad5, 0x6ca94c26,
+    0xc09430e4, 0x34e5cc2d, 0xae29f945, 0x6c6d9fd8, 0xde738bb9, 0x39b2b845, 0x21689340, 0x37e78c77,
+    0xec551d6d, 0x73843778, 0x04d6d830, 0x5d62355d, 0xfd624678, 0x54dbef7f, 0xa3192f24, 0x36b7c024,
+    0xfec569a9, 0xdc17e3a3, 0x17ac2c9f, 0x23c08f8a, 0xfba8a7f1, 0xb68bd11b, 0x1b68ad24, 0x17cdc074,
+    0x314bdf99, 0xd0604f89, 0x5d6a2061, 0x6e4cd382, 0xa719e9d7, 0x40516ef8, 0x5f89b64a, 0xe8acf9ac,
+    0xf286808f, 0x19594b54, 0xba724a2f, 0x425685f6, 0x033b924a, 0x2355078d, 0xd7277b01, 0x241b15d9,
+    0x805bc23b, 0xdc8b5f62, 0x33f63d46, 0x9091d132, 0xe6ef4d32, 0x356acf68, 0xd43ec637, 0x30407dbd,
+    0xf7946f1e, 0x151606d0, 0x39939fe7, 0x78ef76f1, 0x7b845005, 0x941946e9, 0x29e6b4ff, 0x9e4f1880,
+    0xbe732d5f, 0xaa0aeacd, 0x6bdfe541, 0x08cf66ae, 0xbf6f53ff, 0xf3d465c8, 0x506ac2f7, 0xcf1bede6,
+    0x1342025d, 0xd6735e7d, 0xc004c924, 0xc05c1c2d, 0x30adfb3b, 0xf3512ae0, 0xe6898cb9, 0xd0b2fc40,
+    0x2b2fde2a, 0xb3564f75, 0xe884bbf1, 0x53928376, 0x4af80111, 0xbfa7b1d8, 0xc2fbcec8, 0xbe1aa50a,
+    0xa5e357d9, 0x34f4d33d, 0x941dd161, 0xf1f5cfc0, 0x41c5ecfe, 0x13b1e734, 0x90e4605e, 0x7813011d,
+    0x01d15659, 0xf1c6b0d8, 0x0ad703b1, 0x41f36f6f, 0x426d781f, 0xaa348a97, 0xad187486, 0x9643241d,
+    0x21a59ed6, 0xba8256ea, 0x8cb4630f, 0xb816b5ec, 0x51ddd170, 0xcac25078, 0x0ae9d631, 0x8f7134ae,
+    0x9a044fac, 0xc52052c7, 0x47577e07, 0xcb33e9d7, 0x78da436e, 0x4782bbaf, 0x9c26ce9a, 0xcbfdcf38,
+    0x3162b3f4, 0xc201a3ce, 0xdc624f6c, 0xe41919f0, 0xf79c9a1b, 0xcadba0a0, 0x37f32ee1, 0x1c61cfb6,
+    0x29fca4cf, 0x46447a3e, 0x5cb1cedc, 0x8710dd8a, 0xca274526, 0x7b6f03e3, 0x91a830a5, 0x4278937a,
+    0xbb673ad6, 0x24747c88, 0x36eae241, 0xc16f4fdd, 0xe22e06bf, 0x2d0cd890, 0xd6215238, 0x4da4d2e4,
+    0x59c5cec7, 0x08327681, 0x912931eb, 0x583cac04, 0xd1368b41, 0xf266f84c, 0x6d54d0ba, 0xbb7a6ee5,
+    0x847812e9, 0x02df7560, 0xa7b9e517, 0xc522a0c1, 0xdcbdd986, 0x90d80820, 0x9f803b85, 0xed41b340,
+    0x208eca3b, 0x7c8408ff, 0xb88dd607, 0x46a20629, 0xa9ba469b, 0x80d3b08f, 0xc84cb8c9, 0xb5fcac15,
+    0x8c5261e8, 0xb1afcbec, 0x4537fbeb, 0x24bc1ef4, 0x35172b56, 0xd04f885b, 0x902c3021, 0x714acd7f,
+    0x91b4ba7a, 0x198ea910, 0xf4111eff, 0x05735c43, 0xc63d1ff2, 0x9580e768, 0xa355c1a4, 0x7087c39a,
+    0xdf6f366b, 0x84634128, 0x0f4ea31b, 0x1bcde9ed, 0x7dde24e3, 0x6de39132, 0x3c4ad30c, 0x7f794ac9,
+    0x5b906f4e, 0xbd07959d, 0xacef29d5, 0x47182f76, 0x5484cd8e, 0xac10cdcb, 0x9691e971, 0xf9adfd07,
+    0xe708aa88, 0x11693dc7, 0x6ebb1651, 0x37241ce6, 0xe9cd443c, 0x3b866fc8, 0xb2fe5135, 0x76f0c8a6,
+    0x2eeaff91, 0xe1379a24, 0xfb920de6, 0x4f8378da, 0x55d25da1, 0x94294474, 0x101dabb7, 0x29412b61,
+    0x08034bab, 0x308dffa2, 0x9e16a38c, 0xf3ceb8a7, 0xf8b9ce48, 0x15cf66a8, 0x190a5687, 0xfd17977d,
+    0x1b7b3f77, 0x4afa6dcb, 0xfd7c348b, 0x1c1ac09b, 0x1d915194, 0x93038bad, 0x58d70b79, 0x202d4856,
+    0x142acb6a, 0xb2c05f0b, 0x68571209, 0x5906dcb6, 0xad63f313, 0x390cc65f, 0x63f4d9fc, 0x9136ed07,
+    0x616c3b2e, 0x4f88e6c1, 0x348e16c1, 0x75af042f, 0x303763c7, 0x36e58d6b, 0x6c2313ef, 0x6e420319,
+    0xcc0ffe3b, 0x92089680, 0xaf882ae7, 0x3d052b17, 0xd20a068e, 0x3c2b28f2, 0xf339ca33, 0xb12d2493,
+    0xc7003331, 0xb643e007, 0xa16beef3, 0x6d2b5be7, 0x145b4a51, 0xa709c899, 0xaaa301fe, 0x41595af2,
+    0x16441c0a, 0xf7dc8c8e, 0xbe926f06, 0x6ab2a81e, 0x0960eb0a, 0x6dbcdd44, 0x424f4b05, 0xc7dd6961,
+    0x29a37391, 0x39693412, 0xaf1b4ada, 0x1552e3cc, 0x1c4d9afd, 0xcf779386, 0x90e34346, 0x105361fe,
+    0xc2281b3c, 0x962e86ed, 0xb5ba5139, 0x36adea39, 0x80afa8c4, 0x6d9fe7e4, 0x41e905c5, 0xc610d7f3,
+    0x31c9e566, 0x92da6b3b, 0xcd22c70d, 0x0bd580e0, 0x4e69e4f8, 0x581943d5, 0x3e99453d, 0xbcd64522,
+    0x14ac2f53, 0x2fb0e7e4, 0x8e32d164, 0xb744f6eb, 0xdba64df9, 0x8ccdce2b, 0x135aa3a4, 0x9a1c86c0,
+    0xd44a12eb, 0xb19ccaff, 0xbbab6a81, 0x9f65ae8a, 0xa88f1dd1, 0x7e233d5e, 0xabffc7c0, 0xa2113523,
+    0xad46e1c3, 0xb6fc7859, 0xe567b8eb, 0x17ad03a0, 0xaeb004c6, 0xbb35a94a, 0x5d540f2f, 0x801186df,
+    0x6fcf9a22, 0x2ae2b0e0, 0xcd309235, 0x60fcff4e, 0xaed9090a, 0xeb827fcb, 0xb51bd177, 0x6f291e9f,
+    0xc5b7f322, 0xdc8a3be9, 0xbe21e041, 0x85a7f387, 0x51412a29, 0x3074d032, 0x9a826d1d, 0x217a50e1,
+    0x0d1d9ee3, 0xb74f8485, 0x98961314, 0xb169ec64, 0x18b52244, 0x3267503c, 0x7db1fc99, 0x65aff578,
+    0xfc7e7d21, 0x0b1313e2, 0xf832a24e, 0x6f387684, 0xe865b2ea, 0xc1e5dbbc, 0x31197247, 0x7ba185a3,
+    0xe14dfb89, 0x06ee9175, 0x4679f15c, 0x044d930e, 0x983fd009, 0xb3d2bd18, 0xbc1dd0e5, 0x5639d941,
+    0xa408befe, 0xd0fab76c, 0xfa599789, 0x2fb0d9e9, 0x0c150599, 0xe6700cf6, 0x7dccd4e2, 0xae3466cc,
+    0x13b6d0ac, 0x4ab674c7, 0x7d0b71c7, 0xf027b1a9, 0xa3b421cd, 0xab5cc385, 0xbe6880f6, 0xe840208a,
+    0x0e7b6dd2, 0x88e8066b, 0xdaf7d62b, 0x4a0e331c, 0x4b18b761, 0x7eeacc69, 0x3692f5ac, 0xbde114a2,
+    0xb8d6a371, 0x7091eb9e, 0x1c4d96f4, 0x40781cb6, 0xa62abeef, 0x4fcf02fa, 0xb7618916, 0xcb03a816,
+    0xa67611c6, 0x29ddf05a, 0xca9371ac, 0x97618efb, 0x39ceb802, 0xe55bebdf, 0x4122ed19, 0xd2f64dd2,
+    0xac1bb5b9, 0x8f62d2d3, 0x5e0a1be4, 0x39a6428e, 0xb27e12f2, 0x6d20e955, 0x3727a8e7, 0x0f4ccb15,
+    0xa9c898b3, 0x929ee8d2, 0xa790b897, 0x0204e9a6, 0xdd4d52da, 0x3d7f466a, 0xc23695ce, 0x587a3bf1,
+    0x39c8648b, 0x32da695a, 0x57210561, 0xe4d2b46a, 0x6d7d5d34, 0x0b588c52, 0x74da4278, 0x3877e1ed,
+    0x79e282fe, 0xe9613337, 0x71268be5, 0xba4d2d75, 0x4edf196e, 0x03058b73, 0x5694c9e9, 0x19189dce,
+    0x1e1ff123, 0x537c0b8f, 0x253e7366, 0xd33b6acd, 0xea45195f, 0xdb2a45c8, 0xa195a620, 0x100f78e9,
+    0x0da6f57c, 0xb27b5c79, 0xa50144ce, 0xf906d6e5, 0xd3ad4f76, 0x654658db, 0xa6cfa6e1, 0x9eb63564,
+    0xde06bbbb, 0x95dc11b6, 0xc9ce3d88, 0x4b40cbc0, 0x96e86ffa, 0xb53a5a29, 0xca46862d, 0xfaa50a03,
+    0x94a53355, 0x6d2fa0ff, 0x2706af0d, 0x52c055dd, 0xa443732e, 0x68b8cb59, 0x11baf686, 0x8f8c1d6a,
+    0x2e22dccc, 0x9aa112c9, 0x26017ef0, 0x0b6f04dc, 0x3ae86c22, 0x09fc3632, 0xd867d587, 0x71332c8d,
+    0x33b31f0d, 0x02174ba1, 0x1f70ee1c, 0x879310a3, 0x0bd378a9, 0xe8182281, 0xbaad40f8, 0xe89f05ec,
+    0x3463ab03, 0x27a724f5, 0x4b265ccd, 0x8cfcfd25, 0x56a77aa8, 0xd67b5c0a, 0xf6e6c0a3, 0x29ad0a1d,
+    0xfcd4f4bb, 0x81e27a74, 0x1f62d472, 0xf0b4dd5f, 0xedf95527, 0x1b3b1dba, 0x83a82615, 0xa4d6a831,
+    0x7fde2018, 0x71ab834f, 0x16b98a97, 0x03fb1030, 0xd71e01ee, 0x24e1fdef, 0xf7c5e8b2, 0xda255e41,
+    0xd29a81af, 0x8d346212, 0x55700dc8, 0x3ec805a3, 0xbe854722, 0x53902cb5, 0x7e291320, 0x2323d397,
+    0x20207ec4, 0x891cab3a, 0xe63220b8, 0x27aa4fe5, 0x6413760b, 0xdd5000d4, 0x9c212194, 0xc2f20a53,
+    0x6140baf1, 0xfee679af, 0xf8a6fe21, 0xa96cb6e8, 0x996d7e62, 0x1481b1f8, 0x08a76764, 0x2fe435b5,
+    0x4046eda3, 0x094c7490, 0x93864b18, 0x43421973, 0x0e5768f7, 0xeeedc6c2, 0xaf4532c1, 0xe0de7ca7,
+    0x612454d7, 0x9f998f19, 0xd98074cd, 0xcd6f7602, 0xebec504c, 0x310729ec, 0x6ab781bc, 0xab8524a3,
+    0xc222d313, 0xa74548aa, 0x764b07eb, 0x46c0ea38, 0x47fd0282, 0x8ec23d39, 0x56ae845f, 0x241d8c31,
+    0xca38f254, 0x750aa48b, 0xb321d355, 0x37e3bb11, 0x9c92c725, 0x2c41f1fa, 0x48d5d87c, 0xa4b3747f,
+    0x235b6f2a, 0x78e197f8, 0x4f8b8dc1, 0xee16efae, 0xec9e3334, 0x201f25e2, 0xca283043, 0xa2ddfc7d,
+    0x55da636a, 0xa2737420, 0x408df444, 0x57e05b60, 0x39cce2d0, 0x5d8de26d, 0x81e6811d, 0x4b2a190e,
+    0xb2f35c2d, 0xccca5d35, 0x93837a92, 0x2bdf487e, 0xc6bc6511, 0x5f1f960f, 0x2f6f3aae, 0x886cfa3d,
+    0x5805e67a, 0xaa3cd21a, 0x434e490f, 0xa1eceb2a, 0xb4dd66f0, 0xee2cfbfa, 0x0701a5f8, 0x6719e828,
+    0x693c7398, 0x26f8e228, 0xf5557798, 0xa51656e4, 0xc169a6cc, 0x86e782b8, 0x3d654618, 0xb505b8c1,
+    0x333d5552, 0xbb33fe90, 0x3aef7d38, 0x004df97a, 0x243def0a, 0x63982c60, 0x93731600, 0x2cc5235c,
+    0x9b966d4d, 0xc4b58ea3, 0xc55e1aa9, 0xf9edda10, 0x5e0226e5, 0x03af68f2, 0x8a0f4e42, 0xb7f093ea,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000005468126811957529810931\
+                          25556779405341338292357723303109106442651602488249799843980805878294255763456 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d,
+    0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fefa, 0x30f4c5f3, 0x35e042c4, 0x55c18b82,
+    0x00000000,
+    0xd1cf0c14, 0x241e0b30, 0x1a00e167, 0x53e9193d, 0xe4eac205, 0x8c87ba04, 0xf2389c24, 0x0184982d,
+    0x42a42e98, 0x93d3875d, 0xdb3f26bc, 0x81ddf176, 0xcce08156, 0xfabd82d4, 0x9d41e139, 0xde2679c4,
+    0x4e3b5af9, 0x5668a763, 0x3495a9dc, 0x65512c91, 0xb4619957, 0xd1e9f3fb, 0x100c9396, 0x1131114f,
+    0xc0da91f1, 0x13428139, 0x2a2c53a0, 0xa78f6562, 0xfcf5acd8, 0x225dce36, 0x603b75b6, 0x99a65c93,
+    0x6daf3692, 0x13ff3bf0, 0x3a417c87, 0xc1956e05, 0xa3aabaf3, 0xc6187329, 0x7499dc77, 0xca6cb6f9,
+    0x64703aa7, 0x35800168, 0x8b1caa74, 0x75f22c0c, 0x8f9bd2b5, 0x08b53037, 0x786e38c1, 0xda4da19f,
+    0x71f87918, 0x0273988d, 0x9ad4a0e4, 0xb1e8caf2, 0xed0bd02f, 0xcfb1650f, 0x87994e80, 0x188b6989,
+    0xb9215edc, 0x5ac1811e, 0xf5817b57, 0x74492caa, 0x24dae44c, 0xe47a30fa, 0x2bdba246, 0x75718e09,
+    0x699a2740, 0x5f45cdd0, 0xa1f0d4e3, 0x33b290f8, 0x8e6bd032, 0x9c10c8f2, 0x5495f14f, 0x9a36a63c,
+    0x414d6de5, 0xd9b02187, 0xe5552b4d, 0xfe4d60eb, 0x1a8bc969, 0x9a73d5b5, 0xc465741c, 0x1e56b96f,
+    0x63c36a56, 0x9958e5e9, 0x34cfdf4e, 0xa08f1fcc, 0xe8b7d8ec, 0x6c1965c2, 0x14300800, 0xaf2c2cac,
+    0x5fdfabc0, 0x765a9df6, 0x7c5b83ac, 0x8e1e820f, 0x09dac25d, 0x30890c39, 0xdeaa4262, 0x3dd3cdbd,
+    0x78474811, 0x7a2d848a, 0x60921d76, 0x941264f0, 0x9beb507b, 0xd9699591, 0xa9e77cfd, 0x07124698,
+    0x327f5d19, 0xcf6effa3, 0xbd7f6730, 0x41f7b0ca, 0x6f0e8aa9, 0x65e0d5c2, 0xf5c6432f, 0x45444a38,
+    0x9bd1f89a, 0x06ea4f27, 0xfb6ea379, 0x5d4475a1, 0x0d5ada7d, 0x7ee3ed7d, 0x75c5001e, 0xd901fb96,
+    0x5d548397, 0x60befa1a, 0xe6369748, 0xfaa9a136, 0x4669b84a, 0xb3a68fcc, 0x34e6aba3, 0x4c1d8e0d,
+    0x95448e99, 0xe6908b46, 0xd4c68f7b, 0x40b59068, 0xd48ec1f8, 0x03091854, 0x3fe7463f, 0x5f21c342,
+    0x3479c797, 0xa2199c02, 0x56e9a9f9, 0xbedc7135, 0xd0bda40f, 0x2a312822, 0x820da392, 0xe0c65976,
+    0x2ed0553f, 0x655621a5, 0xf4c7cc13, 0x8b9b049d, 0xa9bb2304, 0x3acd557a, 0x7dedf8c3, 0x5e539a84,
+    0x520dbd4a, 0xbbf5bafb, 0xcba3e526, 0x8ffdb2b6, 0x32ac3adc, 0x438836b7, 0xd76969a9, 0x325b67ca,
+    0x42602f2f, 0x39644bf1, 0x906222ba, 0x005c096d, 0xdd73a7fe, 0x013e8b90, 0xe5ec202f, 0x1c12692e,
+    0xc7e9846a, 0x583e3bf5, 0x1b11737c, 0x04ecb474, 0x3a206c05, 0x2e11d11b, 0x71e562f8, 0x6c22f65d,
+    0xa14e6102, 0xfb0963b1, 0xe22e8631, 0xc469ec9b, 0xee9727db, 0xfc0d90f2, 0xaceb37ef, 0xfb6d9448,
+    0x9ea633ee, 0x42a84069, 0x65a010ec, 0x2aba0a43, 0x42b02dc4, 0xb86b27e5, 0x3d4fbc0b, 0x616df320,
+    0x54ed8414, 0x5c568fb7, 0x1ae3bf2b, 0x1e59c1fc, 0x4985fe78, 0xd3bbd418, 0x341fb45e, 0xd658d8ba,
+    0x67853520, 0x5c7281c9, 0xe455e771, 0xe017d011, 0x34549d0a, 0xc662740d, 0x8d7d89aa, 0x6c20904d,
+    0x6ae4a034, 0x25c26657, 0xd92fdd66, 0x37ef42d9, 0xe6fcfc40, 0xc776fcd1, 0xadd62884, 0x72e31308,
+    0x23265e3b, 0xb9c75215, 0xc404f9ba, 0xd1617199, 0xbf3c68e5, 0x530ae303, 0xfe716a38, 0x281545a5,
+    0x50273856, 0xf69d42c6, 0xf9fc4576, 0x680ed753, 0x3392e86e, 0x3c605f6c, 0x9e0255a9, 0x20441a39,
+    0x8011232c, 0x75384547, 0x5b77eab3, 0xbb0a5c28, 0xc6ee8242, 0xbe00e3ed, 0xfd4ea0fa, 0xd18bb835,
+    0x87c69ebf, 0x72362956, 0x83d68a85, 0xdd9e06ef, 0x98735da9, 0x68feeac6, 0x89205ea9, 0xe9820882,
+    0x9dbc820e, 0x63f0a703, 0x747175f7, 0x0141f7fe, 0xc4cf6d12, 0x75d09605, 0xfd8a01c5, 0x175fdc17,
+    0xb48ffa85, 0x95da601a, 0x467254bd, 0xd7a7529c, 0x262dbd09, 0xaf2ae0bc, 0x7c0ff62a, 0x508280e3,
+    0xc85a2004, 0x0799af20, 0xa088e08b, 0xc418360d, 0xeb3dbb40, 0xdd625f43, 0x091c70c3, 0x957f0be9,
+    0x1230dc69, 0xe5f2c738, 0x5e7b35cb, 0x1f4b1bd8, 0xc54597f8, 0x8cb2aa4b, 0xf24fda1d, 0x8d353e70,
+    0xdadd6094, 0x223043f0, 0x01daaf33, 0x05530616, 0xbd09d757, 0x3905aff9, 0x8efaea11, 0x78cf2bbb,
+    0x658effad, 0x1d9bd68f, 0x3c01ede9, 0x323c3cf6, 0x6c234c6b, 0x8682e68e, 0x3c5c8659, 0x5b6fcecd,
+    0x34d05dde, 0x164d6b75, 0x3bb80346, 0xa8a6f01d, 0x23f496f2, 0x79a653bc, 0xcad3e5a4, 0xa1c33b05,
+    0xe82208d2, 0x3fa933ef, 0xee7852c4, 0xe2fe813e, 0xe77b0e81, 0xe5ef8652, 0xcbafea13, 0xab722a16,
+    0x1f0d3556, 0xd59f5450, 0xda121676, 0x0a53193e, 0x13f18306, 0xf37684ef, 0x0c32d99f, 0x39181da6,
+    0xb0ac902e, 0xfe51cab7, 0xa668e76f, 0xa3144587, 0xe99b7547, 0xecb0cff9, 0x6ee480af, 0xc0ad0b5f,
+    0xdd27a701, 0x4e24d8c3, 0xe6a3fd01, 0x6495cc9d, 0xb9f42a21, 0x83118adb, 0x4db6d8c9, 0x7556887c,
+    0x6c670da9, 0x01707b9e, 0x6ec79348, 0xf797877a, 0x0bf8f7d8, 0x6d07755b, 0x60474968, 0xaed97b93,
+    0x36fc8842, 0x3af86911, 0x274c1292, 0x1a25411a, 0x97f2dc48, 0xe0bc0fcb, 0x188f82db, 0xc29c6b00,
+    0x55d2a058, 0x14c0f0c5, 0x53085373, 0x7b27dd91, 0xc2957976, 0xc71c2677, 0x742750ae, 0xe3c6beca,
+    0x3a870786, 0x66f991f4, 0x18ce0c0c, 0x6ed4af72, 0x578a0f83, 0xfb286cc6, 0x235effad, 0x453b8e2b,
+    0x05d280b6, 0x4463a8b4, 0x617028c9, 0x6c8088bd, 0x30c74d43, 0xb6494da7, 0x277afeb2, 0x2be52231,
+    0x41776bf4, 0xec1917f6, 0xe4a603ab, 0xe5a3b8a6, 0xf4c455bc, 0xe426fb6f, 0x5a73b5c7, 0x5bccd219,
+    0x7036a818, 0x14f02b72, 0x389d2dd5, 0xf4849e3d, 0x979096e6, 0x0d8d6276, 0xa8f1cf12, 0x3c9d8fff,
+    0x7cbdf11c, 0xb930d51f, 0x12b29c6f, 0xed16c19e, 0x53177a6e, 0x549f04b3, 0x5f29070d, 0xb27661f8,
+    0x82a42064, 0xc47c1cb6, 0xb15588bb, 0xbb2b4602, 0x292765f2, 0x31788300, 0x3c381596, 0x01d0f53f,
+    0xd8fbec0f, 0xb9611c33, 0x7a4b4712, 0xaf6083b8, 0x279ac7d1, 0xd7ed97a9, 0xa6f2213a, 0xea97b912,
+    0xc787d903, 0x911462b0, 0x8d10f908, 0x675e49f6, 0x2e1bb65b, 0xb937ce7c, 0xde266866, 0x0a101a73,
+    0x8b3f13cd, 0xc46def79, 0x66cba4b6, 0x53e4fe08, 0x31295983, 0x54826ec7, 0xbc80f7a7, 0xb840c960,
+    0x556998f4, 0x14aee878, 0x1b048afd, 0x961457b5, 0xadc8e615, 0x885c9d13, 0x46df4617, 0x45dfd8d4,
+    0x73d5db81, 0xc75fe53d, 0xf73faaec, 0xbe5692d1, 0xfbcf1902, 0x45ae5a81, 0x5cabbc7e, 0x5804d6e4,
+    0x3b42e58d, 0x576a3219, 0x75dec93a, 0x69569445, 0x5a2f5ddb, 0xe0d2867f, 0xf046f13e, 0xd2182b1a,
+    0xebde8795, 0x8734f6aa, 0x87b7a007, 0xf9cbbe00, 0xdfcc31ce, 0x73708146, 0xac942a57, 0x8fec14eb,
+    0x363390f1, 0x13a906ff, 0x749bc2b2, 0x0d1a046a, 0xa01f0650, 0x206d092e, 0xbb297327, 0xd3cf32fc,
+    0x39f6d680, 0xc4722043, 0xaefc6791, 0xd73c8db2, 0x553cb2cb, 0x7980fb6e, 0xcfdce466, 0xd9382c80,
+    0xf905ad78, 0xf69e47b8, 0x7f1561fd, 0x75843baf, 0xc614e8f8, 0x5cdc8471, 0x4b5891ec, 0xf84120e4,
+    0x9c9a38b5, 0xadbd6b5f, 0xe3802b25, 0xa0d50192, 0x29256b3a, 0xb4a70e40, 0x37a92b7e, 0xd55b6ce7,
+    0x74e2efff, 0xba540257, 0xf1666eca, 0x8ce4203f, 0xd9d7c082, 0x57809868, 0xcf283cf8, 0x209315f8,
+    0x3cc3cccc, 0xc9aa97f6, 0xa2c07241, 0xb0d474c1, 0xc517f52e, 0x0999e6c3, 0x15d42984, 0x43b372e8,
+    0x0c35814d, 0x1f467fcd, 0xecd288d2, 0xd1351273, 0x2c5d732c, 0xd4bc4359, 0x50c1f837, 0x97d4d287,
+    0x46cd1bf5, 0x15924144, 0x06bb362b, 0xc7ed8fa5, 0xf3eaf7aa, 0xf59640e2, 0xe65ed2c5, 0x95dec048,
+    0x2137051b, 0xbd5c0bbf, 0xc5e9e858, 0x082649ea, 0x359e958c, 0xa5598afa, 0x3d685c9b, 0x87b21e78,
+    0xd5cb5e79, 0x8fdec777, 0x450c70df, 0xb326ebab, 0x82c93857, 0xb9ec4df1, 0xc955feb3, 0xff113a40,
+    0x105c3d19, 0x599fa65b, 0x81f10b2a, 0xf665208b, 0x83be6c24, 0x5d5762a7, 0x19282c73, 0xbaff5044,
+    0x36edb237, 0xa9ca96c0, 0x0eaf316f, 0x36b14d71, 0xcd9b339a, 0x899bf749, 0xe8528fa7, 0xd21303ad,
+    0x1e590770, 0x53d6a0fb, 0x1659d0af, 0x8863fc58, 0x6dbbeb3d, 0xbd553637, 0x134024d3, 0xb9473f65,
+    0x78e3ba2d, 0x97765500, 0x083d549a, 0x086e474d, 0xe6bc5131, 0x81c00d37, 0xfe23e750, 0x0ba0a0ff,
+    0x9d07b108, 0xda3b336f, 0x5a1929ce, 0x500ee811, 0x13b0bd37, 0x3a6fc701, 0xf32f43e9, 0x85de67da,
+    0x3fc8418e, 0x617e1316, 0xccb2a662, 0x50a46fcd, 0x9f21f88a, 0x3889848c, 0x30f5c753, 0xabdecf0b,
+    0x8ca2b900, 0xf2211474, 0x4d3924da, 0xdfd936b9, 0xaa039d49, 0xec042601, 0x7dd248a3, 0x1c186b25,
+    0x5477fac1, 0x57f217ef, 0xa30658fb, 0x9f290412, 0x8a7c90f3, 0x689e64f1, 0xd5572656, 0x0ab98ba1,
+    0xcdd58a5b, 0x8f5cd1a3, 0x741a1708, 0xcfc859ca, 0xf3555c77, 0xfdf90ea7, 0xd60047f6, 0x4fa74b94,
+    0x39b69508, 0x4895282e, 0xa9381328, 0xe42b59b2, 0x4017c59b, 0xfc8397bc, 0x11e621ad, 0xc7cc2331,
+    0x18f94138, 0x57cfb7ec, 0x2a2e69ec, 0x093ae6ee, 0x1d9f59db, 0x2a9738d2, 0x5e757ba1, 0xbadb671d,
+    0x5053a421, 0x6d87efa4, 0x86c05660, 0x6755e92d, 0xda3feb9f, 0xef3cf9d4, 0x1c5653c5, 0x5a1deef6,
+    0xf8d807e8, 0xe93946e9, 0x449833db, 0x66fa2674, 0x1d4128a8, 0x82ac9854, 0xc685ac2a, 0x3307d6e0,
+    0xf7cc70f8, 0x5d40c721, 0x88f7200e, 0x098201bc, 0xb66dee6b, 0xc7d6f2eb, 0xcebda0c4, 0x9797a47b,
+    0xcfeb25f6, 0xd93bca59, 0x4106cb4a, 0xa2c36ece, 0x698ba1f6, 0x8397edd1, 0x9a885ec7, 0x0945496f,
+    0x8e4a80ce, 0xae914122, 0x1210dd28, 0xc5c91915, 0x3a515783, 0xedc2c994, 0xaa388cdc, 0xd7b41380,
+    0x06b797ca, 0x4c7671b9, 0x5df78b36, 0xc2af1340, 0xe61ea459, 0xb56e2a54, 0x80ba6395, 0x2de5b02a,
+    0x9e2efee3, 0x6a933adf, 0x52916521, 0xbb8b9773, 0x1115d13d, 0x5a92be03, 0x1eedc746, 0x7523bcc7,
+    0xef37753c, 0x09ceeeff, 0x90311d2e, 0x8f0c9dfd, 0x92c97d12, 0x1c9aee3a, 0x73003524, 0xf407e649,
+    0x5f6e2c96, 0x33328e46, 0x48701cbb, 0xbb287c10, 0x83518806, 0x42a328ef, 0x5552802c, 0x1a10c8a1,
+    0x37ef215f, 0x48cadfa9, 0x2446a110, 0xe4e4dd7c, 0x5e195be0, 0x19443a0d, 0x1f01429e, 0xb66b42dd,
+    0xaae93274, 0x3bf56624, 0xd1c46b69, 0x45d3b56a, 0xd6df7dab, 0x6daf3051, 0x82c024dc, 0x4bb12a76,
+    0xa8cbe228, 0xe466c6cd, 0x2568273b, 0x3f433450, 0x61e40d76, 0xb4094f12, 0x501eb3c4, 0xf1074b16,
+    0x8b7a40e8, 0xc26ca2ab, 0x640fdca3, 0xd453c5bc, 0xf1b018ce, 0x34d83ea5, 0x92170274, 0x83d492c0,
+    0x01041c7c, 0x7f4ebc58, 0x06349995, 0x7186cbfd, 0xcaf647f2, 0x4bad7d66, 0xdac0f432, 0xd6f3bc8c,
+    0xc7c8c4fb, 0x21982bee, 0x4610f125, 0xc46dfc38, 0x829e98e7, 0xb7bebf49, 0xd305a4c1, 0x9db656f3,
+    0xbe483f5b, 0xb81bce58, 0x82a61298, 0x26706892, 0x8a81b66b, 0xb7a0d9b4, 0x9dc6c485, 0x3d210cfe,
+    0xd1638d96, 0xa9b182a5, 0x7aff2bd2, 0xede76294, 0x86ecd22f, 0xce745e8c, 0x135d8f11, 0x249b3a5c,
+    0x006c6ccf, 0x7211e915, 0x23acb714, 0xc83bb102, 0xf50e4f5f, 0x79d35b13, 0x2b997e5e, 0x32c66ed3,
+    0x758e71a5, 0xc981a9c5, 0xbbefe74d, 0x2cef6c1b, 0x77b15cc4, 0xb67a86fe, 0xc00c1121, 0x87fa0a4e,
+    0xe2497b29, 0xa3123565, 0x54519dda, 0x0146c60d, 0x1bda714d, 0x88a12c12, 0x8aef9797, 0xd176cd47,
+    0x0b7b40ec, 0xad05ef0c, 0x99e2f757, 0x2c68d582, 0x0998b301, 0xeab0c9f6, 0xdf7c431e, 0xa48c1ac3,
+    0x5a247b7b, 0x6f15eaec, 0x85b99505, 0x9776b4fc, 0xdffbb440, 0x6a1e74c3, 0x0992b726, 0xe879f9fc,
+    0xbc50990b, 0x9a9eb1f2, 0xa0ddce74, 0x4d8f107c, 0xc3abab20, 0x716d6f17, 0xbe5cb206, 0x2c624958,
+    0x0b16e79b, 0x9a797d6e, 0xb88b91b3, 0xd8f1f119, 0xecfea64f, 0x15667f1d, 0x2a58b638, 0x80c00721,
+    0xf7377c69, 0xf8c80599, 0x3cd02d4b, 0x04e7049f, 0xc6dbc170, 0x4e1902fc, 0x260aae8c, 0x18bd72f1,
+    0x2569ec53, 0x1daebffd, 0xb9c89f1f, 0xcf01f1da, 0xac632daf, 0xb7bf6fdc, 0x06fec245, 0x9178e069,
+    0xd4c7fa68, 0x65bd4c05, 0x6b290042, 0xb6f83954, 0x5beff1bb, 0x97865132, 0xcba3e757, 0xec4ec54a,
+    0xf0ae8908, 0x819a8886, 0x928419c8, 0x3fa446d1, 0xd906d60a, 0xbe1cd606, 0x382b72f7, 0xfd30053a,
+    0x1011c5bd, 0xfb5f8dbe, 0x792a2bc0, 0x400105c4, 0x786ce034, 0x4e3f1c54, 0xa4f9246a, 0x53c423bc,
+    0x10d6d009, 0x0d7d7b04, 0x4ee481b8, 0x56bad9db, 0xd2b09855, 0x1a5407de, 0x17f67df8, 0x1f4912a5,
+    0x061d9c43, 0xaa80deac, 0x5bc75260, 0x12628eb2, 0xd3aea560, 0x19e424fe, 0xc77a3fd0, 0x30685e91,
+    0x6c01f439, 0x5237d538, 0x5faf839d, 0xfba025ab, 0xf62a2b9a, 0x9bfa259a, 0xb1f3f7c6, 0x8d13aa21,
+    0xc1b64aba, 0x851450cc, 0x39eaad85, 0xf710045c, 0x32e8559b, 0x5a648f86, 0xd23294dd, 0x07cf1fff,
+    0x3cc7921c, 0x446707b4, 0xc36bb183, 0x05610508, 0xb63f6e96, 0x690613ae, 0x46c67de9, 0xb07cb601,
+    0x6c10b18d, 0xac23dadc, 0x09ffc84b, 0x3dbf5288, 0x5af66697, 0xe3520fae, 0xbc1b5f29, 0x73e65da1,
+    0x45047919, 0xde61b42e, 0x82cb61a2, 0xa12d989e, 0xfaa36ceb, 0x0b6ea79a, 0x47ec3c64, 0x93a46d45,
+    0xdf998ee3, 0xbf9ff9e3, 0xe49cbbf8, 0x972011e4, 0x2c182d53, 0x35eeddc2, 0xee3f0643, 0x1d19d6e0,
+    0xdded70e1, 0x9304c1ea, 0x26befdb7, 0x1e54caf6, 0xb9547bbb, 0x10bc0e3d, 0x70b79957, 0xfad0ef7f,
+    0x9ca2d732, 0x41d89353, 0x0c401f42, 0xcf32e1ee, 0x045954fe, 0x8aeb4df5, 0x51145b9c, 0x42207fe8,
+    0x61aa5ff1, 0x826bf757, 0x6c5bed18, 0xd2614bc6, 0x639d516c, 0xc997abee, 0xd0161d93, 0x9768469f,
+    0x4deb6f66, 0x957779f7, 0x9e1abb02, 0x1842e374, 0xf516f00d, 0x586408c5, 0x9e916967, 0xb86c8adc,
+    0x09708174, 0x356d845c, 0x938ffdbc, 0xa7012e83, 0x16819eca, 0x6da9c442, 0xa90f4f7e, 0x7e41514f,
+    0x8bda46f0, 0x43ff622f, 0x0fda80ec, 0xb86bf964, 0x36843ff1, 0x7465f119, 0x26ed788d, 0xca534e37,
+    0xe06f71dd, 0x536deeb0, 0x991c1096, 0xe2bf4368, 0x3b8cdd27, 0x887fb211, 0xe35578c0, 0xec0cc8ab,
+    0xc2e8bfa2, 0x32746a4b, 0x21f7efde, 0xece536cd, 0x5ef3ec2c, 0x87701ff6, 0x3215ea42, 0x1ee7075f,
+    0x6ddbc9e3, 0xd90a0de9, 0x68b11f81, 0x4cafb4ce, 0xe79c7d93, 0xa4126a79, 0x2c093efa, 0xec127c67,
+    0xa9a84ca9, 0x0d26324b, 0xb86a0fcb, 0xb72b67b6, 0x2b361944, 0xc5c2607e, 0x404c3c08, 0x49f474c4,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000002734063405978764905465\
+                          62778389702670669146178861651554553221325801244124899921990402939147127881728 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6,
+    0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7d, 0x187a62f9, 0x9af02162, 0x2ae0c5c0,
+    0x00000000,
+    0xe7c1a602, 0x7178ace9, 0x3bcab0cc, 0x2f4be859, 0xd346a10a, 0x8800c51e, 0x75241c82, 0xed1d25a9,
+    0x15533ce8, 0x236a3ecc, 0x9593735a, 0xd7cde81e, 0x0d776ad5, 0x42b9342d, 0xf4a042df, 0xb53139bb,
+    0xd1a9f38c, 0x057cf53d, 0xd4153336, 0x79f733c3, 0xef5f7c27, 0xf2275912, 0x7a2808a0, 0xbd05674c,
+    0x47d8ee0e, 0xde8a41e9, 0x1818470b, 0x2b8906f8, 0xf7db2409, 0xb73d2d4a, 0x52620b31, 0x69ec252f,
+    0x3189e8d3, 0xe7d4ba00, 0x7691ef6a, 0x1f28d6e7, 0x7c194ce3, 0x1e4b4ea5, 0x10cae592, 0x2e05d003,
+    0x6aad573e, 0x5204989d, 0x4615dfba, 0x25f2188e, 0xf4733961, 0x56e8de9c, 0x777c3d48, 0x6334ea8f,
+    0x7d0fde70, 0xff6bf7ec, 0x3ccba978, 0x608f6261, 0xe80d40bb, 0x8b00ce0e, 0xc7dbbec1, 0x6216396d,
+    0x23737593, 0x8634fce5, 0x1a02385d, 0xed818e63, 0xfdd8e9a3, 0xbc78aff5, 0x5efb389a, 0xe0e7f5f3,
+    0x9dd086c9, 0x4b9cdbdd, 0x4b32ca1e, 0x00296ff3, 0x6f6826f1, 0xa6021cde, 0x539003b2, 0xc3cbee6c,
+    0x7d5a389d, 0xba18558f, 0x96c84c0f, 0x5bf86919, 0x9b87a007, 0x7fca3426, 0xf20c3ff4, 0x5326adb7,
+    0xebc17d40, 0x8d3dea02, 0x77be3506, 0x6792f786, 0x9d9430ff, 0x7b22fff3, 0xc3726980, 0xf5a54258,
+    0xc6b30780, 0xc7827fe7, 0x5fa6da4d, 0xc0a95b18, 0xf91fdf9e, 0x29f5b17d, 0x796b2af6, 0xd15ad0ca,
+    0x99cc6c53, 0x0c5ebae8, 0x9e7a8675, 0xc5e0da79, 0xf32dadcd, 0x2ed46446, 0xefd78614, 0x6ff2f15b,
+    0x2115bfd9, 0xcbcdc191, 0x7a88a545, 0xcde3d027, 0x1fde45df, 0x68189fe1, 0x6390d4d1, 0x77f7cd55,
+    0x26b00b9f, 0xaa1d9404, 0x5e1b978d, 0x99efd83a, 0x06479715, 0x60c36bee, 0xc135aa5a, 0x007d3abe,
+    0x9b4850e7, 0x3c341e41, 0x0563a51c, 0x6692f825, 0xc11abcae, 0xd59eaaa2, 0x3664924a, 0x948fa2d3,
+    0x3ae5b1d0, 0xdf379f3f, 0xaf5d5980, 0xbae5dcc0, 0xd0d0f053, 0xb66496cf, 0x3121b5a4, 0xbe8935f3,
+    0x5b99243d, 0xdcf82245, 0xf9ef09f8, 0x8275960b, 0xda1d056b, 0xb7808f2f, 0xecb01e71, 0x7a5e258b,
+    0x05dcf69b, 0x3574aa5c, 0x21a0ca1d, 0xd3b2c2a2, 0xf1a3892a, 0x3550c1bd, 0x54e3bef9, 0x4b5f4b76,
+    0x5327b701, 0x1e4f76f4, 0xd939feb5, 0x606ef43e, 0x20e13b8c, 0x387596af, 0x160ce025, 0xa0fa9a14,
+    0xd75c0558, 0x67d3e26c, 0xff52afd9, 0x645d7f71, 0x6b3a6784, 0x614eeb4e, 0xad2099ee, 0x08562c1f,
+    0x0c8052f6, 0xb1ab9218, 0x93b4fcf0, 0xf048ee80, 0x35a92823, 0xcad40f98, 0x61ed1b57, 0x353af886,
+    0xddaf47a1, 0x81f00c37, 0xefe9073c, 0x6232ef1c, 0x12ad02ec, 0xb5642ca2, 0x2ea58c4b, 0x6b1dbd7b,
+    0xa740edbd, 0x91709ae6, 0xab9afaf8, 0xa17065f9, 0xa27aeca3, 0x91d064a7, 0xecf2fe37, 0xf210f593,
+    0xa7831fab, 0x37b9d5f5, 0x57b432ee, 0x82d8f28a, 0x0606204f, 0x4acd8bbf, 0xb47d123c, 0x71fb261b,
+    0xa6ec107e, 0x6de701e2, 0xd2593095, 0x2731f5bb, 0xa3cec422, 0x537fc803, 0xc0523d84, 0x99ba2fd4,
+    0xc4155e57, 0x24814e19, 0x391fd900, 0x88b66769, 0xe310c36a, 0xa338a5b4, 0xb1658d9e, 0x26bbe7e4,
+    0x55639333, 0xc397eafb, 0x95ce4e2e, 0xf4970110, 0x34b1a5fa, 0xde1ce229, 0x8b3e1c9a, 0x02b76ead,
+    0x4f7f1bc0, 0xdfae0cf9, 0xb2a6dc18, 0x1460de91, 0x468e039a, 0x66b376a7, 0x612798e0, 0xf24ae50c,
+    0x377fdfcb, 0xdb705d17, 0x9e889b05, 0x5899207b, 0x9ece765c, 0xdaff3a32, 0x7aaa029e, 0x51ce0eab,
+    0x994fb5d3, 0x1135150d, 0xe4783375, 0x57da2276, 0xd4ddf964, 0x2c6e253f, 0x77ae290a, 0x5f34c1f7,
+    0xbe120025, 0x564f47cb, 0xae0ae257, 0xe6312cc3, 0xd031af1d, 0x0ae49307, 0x0ad80b32, 0xef800e7a,
+    0x5f6402d7, 0x49daa44a, 0xde921a6f, 0x80b26946, 0xc98ca841, 0xd7952193, 0x76e2dafa, 0x957f1253,
+    0x07cd14e3, 0x48dbd15a, 0x320b4fb1, 0x36ed7c34, 0x4c6f36bc, 0x7373722f, 0x661f21b3, 0x460dd5fe,
+    0xe01df33e, 0x16513229, 0xd2cbf47b, 0x541b56c9, 0xcadaa160, 0x420a2949, 0xed8fe94b, 0x6c19884a,
+    0x5adbae50, 0x41132b2a, 0x0ecf54fa, 0x8439c852, 0x8bd4c285, 0xb067580a, 0x62c0fd33, 0x7c500063,
+    0x38b2ffd7, 0x73608338, 0xcdfea2a5, 0x3e285795, 0xecb83e2c, 0xe0b99809, 0x842bfb0d, 0xffc9956f,
+    0xc818db84, 0x7a77d70e, 0x2c7101bd, 0xd69b757f, 0xb6dd2fcf, 0x113f714b, 0x5cb4e1a6, 0x63acdb8f,
+    0xa9c2ed3c, 0xd55253e4, 0x6ae167e6, 0x1604a919, 0xa44f5af4, 0xe0e60c78, 0x81cf597e, 0xe1b49730,
+    0x89c192df, 0x2c4333c2, 0xe3938bbe, 0x7fc03e15, 0x9028b790, 0xda188983, 0xe715fee3, 0xc68b6ce6,
+    0x9b8cd27e, 0x43f35bb4, 0x3d10ff93, 0x58c05076, 0xcb582e34, 0xa66c48b2, 0x71a9d9b0, 0x5b7d58a3,
+    0x98057af0, 0x69b6a3a9, 0x2926bf20, 0x5e88f0df, 0x12c9a036, 0x3684d8a8, 0x42042be3, 0x4ffc0f1b,
+    0x252b75f5, 0xc59c8e07, 0x4f0dee58, 0x53a553bd, 0x33035f1d, 0x4dc84aab, 0x5208e6b5, 0xbaee295f,
+    0xcd757831, 0xc0afc472, 0xe7c3db9d, 0xf780cc2b, 0xcf0bd738, 0xaf3744fa, 0x349737f7, 0x2d135d1b,
+    0x132dbbf5, 0x47e3802b, 0x04b37105, 0x08539d1e, 0x120bfc6a, 0x594c33d3, 0xc77d73b3, 0xcdedd540,
+    0x805e5451, 0x6d72a934, 0x620f542e, 0xf9d176d0, 0x07898549, 0xa417fb54, 0x03f46ef4, 0x478fdd51,
+    0x54e37aef, 0xabeb1141, 0x8a4ec40d, 0x790703ac, 0x3bd6fcb0, 0x4f32c387, 0x071a1636, 0x14658ec3,
+    0x805e993f, 0xfaa72c4e, 0x27b79cae, 0xc254c12d, 0x0b35c425, 0x4759250d, 0x6dc494c5, 0x17f7ec61,
+    0xe8c79630, 0xe168b38b, 0x96600cd7, 0xb328f472, 0xe7e2ab78, 0x4c692d4b, 0x179abde7, 0xd5af6654,
+    0x36755c78, 0xc5329366, 0xc72f26da, 0xbea25033, 0xae38552c, 0x334f43cb, 0xa94e750c, 0xf24f7274,
+    0xc623d01b, 0x4c7fdb91, 0x0509b34a, 0xf866f89a, 0xe2e837fe, 0x59c8b727, 0xe58c240a, 0xcf639286,
+    0xdd5dc41d, 0x1bffc8d9, 0xea1ae425, 0xd9a89b7c, 0xb416c02c, 0x0a48be5c, 0x5dab9758, 0xa9a2b338,
+    0x2018420a, 0xa2c2764f, 0x3339daa3, 0x16d01d4f, 0xee80a9ac, 0x8ed1505a, 0xd48e0329, 0xb5961db0,
+    0x3ad91bca, 0xb4b38765, 0x00a8ac2b, 0x2420fb35, 0x96865068, 0x27f42f4c, 0x8c9f9f85, 0xf66b0a84,
+    0xb7def9e1, 0x269ef41a, 0xb09c257a, 0x26a0ceaf, 0x35fcb292, 0x39cef914, 0xdd6322df, 0x7b14b3f6,
+    0x9cd835ab, 0x1b0b789d, 0x0dabc4f6, 0xc4347b06, 0xc68c61c7, 0x285774e0, 0x91e29d70, 0x5fd7fccf,
+    0x9bb468d3, 0x3d0387d1, 0x2ed9d724, 0xe2d5d154, 0x9545b68b, 0x04c73a77, 0x3831c423, 0x5d89bb60,
+    0x4b02e0e3, 0xb8225ad5, 0xbb1d36fd, 0x24cc7c6d, 0xbf9f8348, 0xfd60e383, 0xeaf960f5, 0x6e136d7d,
+    0x6607d71c, 0xe057c99c, 0xe830eb70, 0x1125b860, 0x2b96986b, 0xabb1d3e3, 0x9695b302, 0xa5f705c0,
+    0x3b13b77f, 0x57eb94f3, 0x3e7d96c5, 0xe2905053, 0x6956e924, 0xc4fb9829, 0xf83b576a, 0x9837dde0,
+    0x723c7e94, 0xbb395261, 0x5a1196c9, 0x3aab062e, 0x11c2268d, 0xded344f7, 0x17cfc252, 0xea92c557,
+    0x7a1eb24f, 0xdbc89bdd, 0x5d7170de, 0xd8397efc, 0xa125c167, 0x52ed12bc, 0x2c1a6612, 0x5ef25f3a,
+    0x16f96718, 0x6852cbfc, 0x02727239, 0xcd280977, 0x28ee92c8, 0xf9de6632, 0x3fe74b5e, 0x489ca9cb,
+    0x03a37b0c, 0x59c0df02, 0x62e5771b, 0x433f0a28, 0x3a367d64, 0xb81c3e2d, 0xeb8ac701, 0xc17711fa,
+    0xbfadc124, 0x07c6b7d5, 0x2781ddf7, 0x4b7f749e, 0x8d95bd14, 0xc9bcf576, 0x1c5fb021, 0x09ea3238,
+    0xa26dafd4, 0x75be955e, 0xe22885f2, 0x90b82bbf, 0x7648f344, 0x7e4f8e95, 0x57e4d60c, 0x67b6e23a,
+    0x1e12b2c0, 0x76d3263d, 0x006266a3, 0xfc760f92, 0x2b35992f, 0x2b24ea27, 0xc7297d1b, 0x49cbd78a,
+    0x3c7067d9, 0x25c97721, 0x34e02031, 0x1bdf70a2, 0x0ff3ed8f, 0x67dd6287, 0x910f48fe, 0x81a70722,
+    0x1aeabd14, 0x50db429b, 0x8d7a4744, 0xb5cbd827, 0x4bf588f6, 0x47fdb182, 0xde992a06, 0x5641b02d,
+    0xb5966fb5, 0x861be3f2, 0x1a03f0aa, 0xba2f6691, 0x38741634, 0x53ebb396, 0x94403573, 0xf4c6bacd,
+    0xb555642b, 0x7d173aba, 0x64a6f8dd, 0x303b5942, 0x7982113a, 0x88d483cc, 0xbe10294c, 0x0362bc3d,
+    0x02ea8396, 0xf6456d2d, 0xe814d3a6, 0xb280bfca, 0xec080a49, 0xe3ca2c52, 0x043807c6, 0x9735fcf1,
+    0x7e4e5a0a, 0x5d1a9dea, 0xef5ef7da, 0x62125125, 0x24d4ee13, 0xaac4cb04, 0xf57aebb9, 0x487338ff,
+    0xeb60a41b, 0xf05099f8, 0xc8866ca6, 0x70051dab, 0x33a9b1d6, 0xd01eebc5, 0xd1276f5b, 0xab8bfd6b,
+    0x86b382cf, 0x6fdc75b7, 0xe90ab798, 0x43a88491, 0xe7f2b3fb, 0xa27c498d, 0x91b0b72f, 0xbe50126a,
+    0x4d884e05, 0x6fd8aa9e, 0x8cbbaedb, 0xa2f3d674, 0x0473b450, 0x26a4696d, 0xf0140a2f, 0xf3dafd55,
+    0xbb3a8bfc, 0x01ca6a77, 0xfcb94923, 0x5f9980d9, 0x9dbd5131, 0xb8bc6ffa, 0xeb885d52, 0xda95963a,
+    0xeee57b2b, 0x48ecec87, 0xee9e5b84, 0x4c323093, 0x593c7b87, 0xf573ad75, 0xf9c56d26, 0xadf87955,
+    0xe2efb066, 0x88b0c41e, 0x22906063, 0x4c0edde2, 0x1625b8f6, 0x8b652143, 0x410cfe13, 0xb9f285c1,
+    0x77e79b10, 0x4a6c11ca, 0x38db53e2, 0xcd4ac7ba, 0xa5c77545, 0x197590b9, 0xda515271, 0x973011e7,
+    0xad515efa, 0x937881e5, 0xf54f5e7c, 0x79c584e8, 0xe2087b4d, 0x6a64ef77, 0xec706598, 0x923232bb,
+    0x1962724d, 0x49511414, 0x5f033524, 0xcc20c365, 0xd1f073bc, 0x315aa005, 0xbac43875, 0xa369b60c,
+    0xdd7c1da7, 0xfd5e50d3, 0x432a4dd4, 0x015628fd, 0x0b93fbe6, 0x679b93a8, 0x4d69253e, 0x21281fe9,
+    0x3d0867c0, 0xbf88204c, 0x0482373b, 0x9af222b6, 0x3d211856, 0xdcbdb6dd, 0x4d39ecd5, 0xcce35ac9,
+    0x4908a10a, 0x265a8067, 0xccd528bd, 0x707d47e1, 0x09e80eda, 0x44ff2226, 0xddf448b2, 0x9191d81d,
+    0x35dcaea6, 0x96b39e3b, 0x46d3e603, 0x5fd991f4, 0x35d23801, 0x8830df4a, 0x5dd49e8c, 0x847e9bb6,
+    0xdb2d200c, 0xf3b34bc8, 0x951bd9fe, 0x5da0ccb3, 0x42074844, 0x8d49484b, 0xa6dd4645, 0x4391eaa6,
+    0x591eba05, 0x9ac0007c, 0xef90aae5, 0x5775f15b, 0x44c4b003, 0xca0adebd, 0x1ea56381, 0x3c9c8aa3,
+    0xeaa8faf4, 0x7fc6cc45, 0x3cd36267, 0x21d42d6e, 0xab0bd507, 0x40b69366, 0x1984eedb, 0x20119718,
+    0x04e40da0, 0x55af4a98, 0x344cd2e8, 0x40e70c71, 0xbda5656c, 0x6c59f6eb, 0x955b0ee8, 0x6f919090,
+    0x4202dba2, 0x3f408b01, 0x17f09d43, 0x00734f94, 0x7e29c30d, 0x8bd2b0bd, 0x6ad0969f, 0xd9aa287f,
+    0x657f73b7, 0xb2e56e99, 0x17272023, 0x4df945fc, 0x0ea1557e, 0xfce71877, 0xf1146532, 0xe685d61d,
+    0xf5753f89, 0xc0d54da3, 0x38f2b8df, 0x7ac1ef7b, 0x27a16f6e, 0xd5709f74, 0x104c317a, 0x1d10d4e1,
+    0xa361c4a2, 0xc2554f7e, 0x1323975f, 0x1663ffb4, 0x0ad7ebdc, 0x979de273, 0x37ab2ceb, 0x730159a6,
+    0x60d363e7, 0x69567b93, 0x4ea6955d, 0x83ff54fa, 0x13612788, 0x1a93f98c, 0x9e9bb2d9, 0xb4f38ac8,
+    0xe7f76aee, 0x3b7ae67c, 0x07963d53, 0xfbf24bab, 0x80fb6c77, 0x0764d775, 0x14cf4c17, 0x3066278e,
+    0xf7315533, 0x2880abdb, 0xfa7a5c02, 0x41bea3ca, 0x3e53962d, 0x536ddba6, 0x60283ef5, 0x4e1c4032,
+    0x03458bf2, 0x62278171, 0xbd53bc73, 0x8184251f, 0x4e1876eb, 0x0585c81a, 0xa4026d59, 0x4ad46e33,
+    0xe4c86e7e, 0xde5c1d7a, 0xd4a03609, 0x29244596, 0x25b5a3a2, 0x9f864974, 0xda861dec, 0x06fdad45,
+    0x367f3cf4, 0xd0ff7345, 0x65a87b61, 0x11febe7c, 0xf26624df, 0x5454c37e, 0x45edfdb2, 0xf551fe4c,
+    0x1ddd9423, 0x83175a7e, 0xc24582be, 0xb3956378, 0xe53ac4d5, 0x291afc06, 0x0928032a, 0x197eda69,
+    0x8cea9c27, 0xbb7d8d12, 0xfc02273c, 0x2f2d429e, 0xd7c8b167, 0x207a5c42, 0x8278f2ae, 0x58fbfce0,
+    0x8ecce838, 0xf1efb626, 0x535a892d, 0xb930749e, 0xffb9ec19, 0x56f8c6c6, 0xced052b9, 0xda31d202,
+    0xf6eeee5e, 0x9c11f250, 0x9f515bbe, 0x0f71ff7d, 0x85a5cac5, 0x5ec5dd57, 0x9b24522a, 0x25340045,
+    0x575d5a87, 0x8eaaead6, 0x572f058e, 0xc9599232, 0x89ed25f3, 0x02533c5f, 0x07c6e1bc, 0xed37da59,
+    0x7aef8796, 0x9ef29f12, 0x71b9026d, 0x34dc6c6e, 0xd58b8ddc, 0xf2ba6ed9, 0xb8350b64, 0x10ae2379,
+    0x39cedee0, 0x7e4af8df, 0xc00cf0a1, 0x733456f9, 0x28d2138f, 0xc67f6ae4, 0x63b4062f, 0xbf0b5024,
+    0xcc070915, 0x0056bb98, 0x68752f1f, 0x5cc3e399, 0x593eb27a, 0x0af129ce, 0x26ee469b, 0xa28fe120,
+    0xd114bc9c, 0x2f5615e0, 0xfee4a7d7, 0x1f2dd8c8, 0x9c1e0873, 0xe3dc87aa, 0x872ce8f9, 0x2b8fda59,
+    0xb4565253, 0x2b5dea41, 0xde057178, 0x2efb7ef5, 0x252fd145, 0x152ee068, 0x26462b56, 0x24b0496a,
+    0x013767d0, 0xdff711c6, 0xf18c4176, 0xb5a86ab3, 0xe88795e3, 0xfa9fd227, 0x01b31c3b, 0x4f45de2a,
+    0xf0b586f4, 0xd20131aa, 0x926a1785, 0xaf985134, 0x3c244c7e, 0x629a0fc7, 0x21cca52a, 0x9a9fdd49,
+    0x18ff6b85, 0x33a1a50c, 0xdb548853, 0x170fa6f2, 0xd10d313e, 0x2b2c9145, 0x73242cdd, 0x847da9bc,
+    0x54b5dad7, 0x6936b1f9, 0x32b58800, 0xa7de8af2, 0x115d6743, 0x94f373e6, 0x4dc48c33, 0xccdd4413,
+    0x08391bfa, 0xc72612b1, 0x6e7ff929, 0x0f67336b, 0xc791bcdc, 0x4a8f31c8, 0x71dd3f0a, 0x7422fbda,
+    0xd4bbbf03, 0x0679db47, 0x3912ff68, 0xfe803822, 0x62c9c997, 0x6b4bba30, 0x1cc5091b, 0x78e21a51,
+    0xbed7e689, 0xa027e6a6, 0xdc241b26, 0x25ca8d80, 0x4b7b2a2d, 0x6d7aabf4, 0x885f3b7f, 0x104b8e96,
+    0xf4a4534a, 0x38ed4e45, 0x4e89e949, 0x14753ace, 0x48636212, 0xa25fce7c, 0x245fefd4, 0x3f4ae339,
+    0xf0f903b8, 0xfb634b57, 0xdd2d5ce5, 0x57b45096, 0xb12f7d96, 0x5c311112, 0xb4da07b8, 0xff2a84b0,
+    0xc66d94d1, 0x494155e6, 0xe467fd01, 0xb535ff47, 0x5922a2c7, 0xf75a475d, 0x882d8915, 0x57144bc6,
+    0xc5763d0f, 0xd4d2de4f, 0x33cb9c47, 0x2413bbb4, 0x0d312a80, 0xd70f31c2, 0x8ce82d27, 0x649048f8,
+    0x7d3c34ef, 0xeba70fb3, 0xe31140e5, 0xee0d3033, 0xac6e0c1d, 0x295debc0, 0xc601afee, 0x4851d8f8,
+    0x3a9a7a4f, 0x7c674c95, 0xab040407, 0xcbb203e8, 0x584f9ba9, 0x36ce5638, 0x62b19016, 0xd2f83281,
+    0xb0d3cf8c, 0x8099e8f3, 0x55d4c335, 0x134cf559, 0x47592863, 0xe58cdb35, 0x1748d10a, 0x7469b748,
+    0x30055dbf, 0xce9774b8, 0x911877bc, 0x99ada2ae, 0xe92517f8, 0x2afde40b, 0xaacacfed, 0x407d9ff2,
+    0x1df6a8a4, 0xb74375d8, 0xd22dfe74, 0x3b019c62, 0xfe869020, 0x2fd15556, 0x141dfac4, 0x3df0aaf6,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000001367031702989382452732\
+                          81389194851335334573089430825777276610662900622062449960995201469573563940864 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db,
+    0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbe, 0x8c3d317c, 0xcd7810b1, 0x157062df,
+    0x00000000,
+    0xf393a7f3, 0x6d6b3364, 0xd74141cc, 0xe1a2168a, 0xefaa1f4a, 0x4839504b, 0x04940cfd, 0xf3d59c64,
+    0x5b7ea75b, 0xb2bb2a7a, 0x04957312, 0x98fbb7ac, 0x0ed72ab9, 0xead7f41d, 0x939ff0d6, 0x24628ee9,
+    0x6c6d2771, 0x88e4198c, 0x821e42ad, 0xaf4e05a3, 0x043cd4a4, 0xb86f8cc3, 0x3ba11c69, 0x31120b53,
+    0xd2f9f766, 0x7f3a32d2, 0x6470849c, 0xc4067f22, 0x0e92ebc3, 0xc3cbcb99, 0x2a48ccdd, 0x8860bb6c,
+    0x04873292, 0x7b950268, 0xbacdb836, 0xbae67707, 0xfe80de1c, 0x2e19e01f, 0x1da1321b, 0xd08dc7b6,
+    0x069c2386, 0x95bbd779, 0xa8a42846, 0x7744db3f, 0x80d5f793, 0xb64d4332, 0x6c539afa, 0x9b5ee585,
+    0xca6ca860, 0x15e79ab0, 0x1673b3dc, 0xf4320dde, 0x5bc9b45a, 0xc01f9171, 0xe77ec3a0, 0x8038de23,
+    0xa5e6cc89, 0x7e8af964, 0x8b82edff, 0xd5243f61, 0x664f0fa4, 0xa22bfd12, 0xa28cb7c0, 0x8b70ee2a,
+    0x84934a2d, 0x7ae13f65, 0x6ed02609, 0x195918a4, 0xa5b88ce0, 0xc64fa3d9, 0x65a5e394, 0x39c498a6,
+    0x1e3423c9, 0x12d9cd11, 0x7a34f7ac, 0x66b59302, 0xc96d3977, 0xa7944a84, 0xd2a21e28, 0x1ded1439,
+    0x53be97ee, 0xbf080caa, 0x31901bcd, 0x1562cf4a, 0x16ff5a66, 0xa3f2aaee, 0xa3069ac6, 0xcc22c433,
+    0x50ec8219, 0x57153439, 0xabe340f6, 0xbed6055d, 0x1018cefd, 0x64397e86, 0x50745f6a, 0x6f508ede,
+    0xd7f74d6d, 0xca72bec4, 0x7f891b25, 0x229ad898, 0x3899d723, 0xf48d699a, 0x5368082b, 0x7938ecdc,
+    0x43c79e98, 0x1f12da19, 0xff20e83b, 0x7e2ec2f6, 0x559e4a4c, 0xf8f85b51, 0x2991c92f, 0x380f4b64,
+    0x92cb338d, 0x526e5998, 0x483b1347, 0xa8ee5362, 0xc7315ffc, 0x72c48a0a, 0xcffe912c, 0xeae9e4c0,
+    0xa2e24593, 0x3ccb3584, 0x3a838bd2, 0x27ce0285, 0x6d619285, 0x0745d54d, 0x5042d37d, 0x974d25b6,
+    0x822a2b00, 0x967b97d0, 0x7bb1e5b8, 0x1fe0100d, 0xf3ae898b, 0x2b94fe01, 0xba2a261f, 0x4799c8ba,
+    0xa3a97f67, 0xb3347e5e, 0x4a0c60b0, 0x57f464a5, 0xe58c2577, 0x547eea82, 0xe117f556, 0x232314a0,
+    0x8c28491f, 0xd40159f6, 0xd330b1b9, 0x8db2473e, 0x6cc27c43, 0xee92fb93, 0xa4979766, 0x4bde64d1,
+    0xcc232fd0, 0x41b6cc68, 0xab9fe665, 0xd94428e5, 0x4ab821c4, 0x294bea84, 0x2c66ce8d, 0x5a0c3b49,
+    0xa98b514a, 0x226ecf85, 0x15af7128, 0xb5a1eaa6, 0x1fc47084, 0x2ecc6f54, 0xbb951ac4, 0xe702e158,
+    0x06e1d8b6, 0x3ef25a44, 0x07efacc2, 0xfdffac70, 0xdfdc2ae4, 0xe23efe02, 0x3ced45ef, 0x107a7b91,
+    0x06eedf6b, 0x5085a96f, 0x6b1d4168, 0x96f35777, 0xfd72ea80, 0x4903215a, 0x7f286aa6, 0x627b2153,
+    0x38a0bd91, 0x37a588ce, 0x51f632cb, 0xe4a44426, 0xb9a85459, 0xa7a8757f, 0x381ca4dc, 0x594c5ff6,
+    0xa839629a, 0xa0d35eca, 0x5a54680c, 0x4bad9641, 0x84b60e52, 0x3782d78f, 0xdfd6e77e, 0xf54ef7ae,
+    0xfe6f5ed2, 0xd7fd6ab2, 0x627fc9c1, 0xaa59644b, 0x4aabfe9e, 0x39817cbd, 0x72dab04a, 0xbed803cf,
+    0x4a08a0a6, 0x87ea1e1f, 0xacede364, 0x1945e51f, 0x75ee0094, 0x1eeeaa5b, 0x1e3a984e, 0x15fcfab6,
+    0xe167908a, 0xa8efab25, 0x79c0003b, 0x711b98cb, 0x3cc07ec8, 0x01b2b30d, 0x243c724d, 0x48e6a1c6,
+    0xf7961ca9, 0x6c2d629f, 0x399fc2b2, 0x3d0b18d5, 0x88010632, 0xf95780df, 0xe02ffe28, 0x9ceb484d,
+    0xdd27b226, 0x1051aac0, 0xb96e01cb, 0xa14a72fc, 0x978eee9f, 0x70853fc6, 0xa8ee8835, 0x98c755f8,
+    0x640cec74, 0x5d91f27d, 0xdf0584d8, 0xf47c6dda, 0x919ea2a2, 0xa60f8116, 0xa285436d, 0x0de86073,
+    0x6fd73d29, 0xce63adae, 0xed19b1a7, 0xdf67d671, 0x9b8f36ab, 0xe692b51d, 0x43c4fa10, 0x7b0928c9,
+    0xdcd2f7a3, 0x2d0f6538, 0x1492f225, 0xf0757333, 0x0bef826e, 0x33263198, 0xf0797186, 0x9dea386e,
+    0xd4cb50f1, 0x0af150a5, 0x10957f98, 0x67beaeba, 0x68523f1e, 0x40c7a72d, 0x6a1e4ab7, 0x8351bba7,
+    0xe243170d, 0x5b03697e, 0x122f1a0f, 0x15ae098c, 0x642534c4, 0x6433c51a, 0xe8096b5f, 0x4d362f6a,
+    0xeb5e28cf, 0x7631512f, 0xeec018f3, 0x3a2fb9e3, 0x8c42a351, 0xa5a799d2, 0x8ace899a, 0xf821f6aa,
+    0x24bf9236, 0xcbe8ff9d, 0x188b8fc7, 0xae94e82d, 0x1bd9e193, 0x87f5683a, 0x103cdc12, 0x8a48791a,
+    0x665c0820, 0xab29a025, 0xa110df96, 0xf0807a82, 0x99c1f283, 0x8a6cdac6, 0xe4c09daa, 0xc28a82f4,
+    0xd7a9365d, 0x8673afb4, 0x31c72a1a, 0xd91859f8, 0xc3a1592a, 0xb0cf9b73, 0x24bb932e, 0x744f2ca8,
+    0x46e66da6, 0x5ac6f1de, 0x5308e3c2, 0x3257b7e6, 0x1cebf2cf, 0x89508a26, 0x29a45c43, 0xfca8e8b8,
+    0x71ec53af, 0x258ad07b, 0x411af8f2, 0xd582ee19, 0xa9017432, 0xdd6d7c97, 0xab94cf28, 0xc2d0714d,
+    0x20f93ebd, 0x37c8b7a4, 0x8298e71b, 0x1b6a62eb, 0x5205cda6, 0x1fc70e1e, 0xbfc3e425, 0xca732a71,
+    0xb5bdebaa, 0xedcec9ff, 0x5ea702b3, 0xd4038895, 0x41ee453a, 0x182cef3f, 0x75b0fc53, 0xc9757351,
+    0x98c054fc, 0x761fba4f, 0x6f382d92, 0x511e3403, 0x27df59bb, 0xa204785f, 0xddaadecc, 0xf7d8843c,
+    0xcea3c493, 0x95743a9f, 0xc248a1dd, 0xb4c39335, 0x75d4c841, 0x3051668c, 0x09275faa, 0xd570d4ae,
+    0x9c83dbfa, 0x6c6fb6a3, 0x45b215a2, 0xfa9a4f03, 0x0247ccd8, 0x3a61c357, 0x068eb18a, 0xb5b4ac0a,
+    0x327bdbdc, 0x4fe8894f, 0x1441fa37, 0xdd6975f9, 0x12018763, 0xb4fded5f, 0xcbb52510, 0x17dfaaa6,
+    0x8f9e72cf, 0x07fa8d73, 0xa62befc7, 0x24d2e82b, 0xc2221c41, 0x3ba7b980, 0x3aca6645, 0xa10c73f3,
+    0xae19e3ad, 0x0824c2f1, 0xbaa62a2a, 0x71b81363, 0xb82419f8, 0x247664a5, 0xfbd4195b, 0xa118e177,
+    0x63735b62, 0xd4ea1295, 0xd7efc6d7, 0x3bb25e1c, 0xada27252, 0xd73b2ea7, 0x9397e749, 0x7e5b5449,
+    0x355de814, 0x80acbdcf, 0x900be940, 0x76118420, 0xa7ef60f6, 0x209f059f, 0x94658888, 0xe29f1789,
+    0xec0f7a25, 0xc13b4fcb, 0xa227b574, 0x4ca8e0d8, 0x10a539c3, 0xaa326d2e, 0x274cacae, 0x807c0930,
+    0x8d1e7d0c, 0x0077e63f, 0xd8578931, 0xeeb458d7, 0xcd6abc44, 0x8a044dc4, 0x1ddbb1f8, 0x5014bb03,
+    0xa8901f8d, 0x2491805b, 0x6d65f736, 0xde3ff375, 0x845e36dc, 0x30c767b0, 0xcd9dd534, 0xad9cfe31,
+    0x27dcaf86, 0x6b25f2af, 0xc07c9af8, 0xa5a2a686, 0xec64a5b1, 0x3879e993, 0x2a4a7b8e, 0xca35ced3,
+    0x60991951, 0xe26f2783, 0x470778a6, 0x0034d0ec, 0xbd0a189a, 0x38a8ce32, 0x495c1010, 0xc5d930d6,
+    0xee19c40a, 0xdd030ef5, 0xdf848de0, 0xeb9e00dd, 0xa8ff2c4c, 0x52b7f5b6, 0xd4b18b61, 0xa1088fdc,
+    0x7fa79536, 0xbafcccbb, 0x7f59708d, 0xfa45b451, 0xc6404251, 0xe7ad5a7b, 0x19bcf9d0, 0x6b44bd9a,
+    0x39233567, 0x70fb4b18, 0xffbffbe6, 0x3afe054d, 0x0fe569c3, 0x0fa4e3de, 0x2b361f45, 0xc4c8e315,
+    0xd8a21ba7, 0x49e85f65, 0x78bbc281, 0xbc116b88, 0xfc4ffeea, 0xee4d19b4, 0x9ce189a7, 0x96750a8d,
+    0xfe82710d, 0xb093cc08, 0x491a5702, 0xea865b6c, 0x778280ad, 0xc2c3f580, 0x3f7f1334, 0xb3118e87,
+    0x273c6339, 0x7bac79d0, 0xb1484086, 0x631c9504, 0x31d00091, 0x648c687e, 0xc8406bc8, 0x0b1c147f,
+    0x39f27ade, 0xe1c839d1, 0x4d668da1, 0x408b7501, 0x0717d5d1, 0x908629a2, 0x21dfc9e6, 0x0f014cd3,
+    0x971be68e, 0xf7e95b01, 0xec98240d, 0x72b171be, 0xc6a3c445, 0xc904764a, 0x3591628e, 0x0eaee499,
+    0x46f599df, 0x83a91361, 0x90895389, 0x35e13d60, 0xed86878f, 0xb42f1fba, 0xab7ead4a, 0x3b586d81,
+    0x1b9919a2, 0x0a59e048, 0x51c83baa, 0x48006ff2, 0x111b46f9, 0x3a2b7733, 0x26a944a2, 0x6f102c44,
+    0x6a1106e8, 0x0fde5e3f, 0x220d6067, 0xe5becb2b, 0x3be17884, 0xfb21fc13, 0xba8d4759, 0x7ff5d232,
+    0x07486ef8, 0x8d32723a, 0x8ebee287, 0xe6fdb4e4, 0x44279658, 0x7e3f70c9, 0xa6812769, 0x1b1ec3c4,
+    0xbb947d26, 0xac58b085, 0x41936253, 0xf57ecfd4, 0x47e84adc, 0xa39395b6, 0xa254684d, 0x60728350,
+    0x63d5fb27, 0x338821ef, 0xa6a4f2d5, 0x9517369d, 0x5df1324e, 0xbb697c9c, 0x8641b281, 0xee47a1a8,
+    0x5db7763d, 0x4f572804, 0x0b7ea1f9, 0x9a5e31bd, 0x2816df22, 0xf457cf86, 0x3f135ed0, 0x82830b5b,
+    0x585f2cff, 0xfb120897, 0xdd42f186, 0x66b51a51, 0xacc99515, 0xe6266f30, 0x370f797e, 0x634f2a68,
+    0xaa56c6c8, 0x532842de, 0x34bd662c, 0x7bbff535, 0x7e0af8d0, 0xcb2fd982, 0x9788016b, 0xb6d7098d,
+    0xdafded41, 0x4e5ebe7f, 0x2e78ff70, 0xab39b903, 0x10556ac9, 0x6f7dbc36, 0x5062e361, 0x74b5c1ca,
+    0x1d79a5ea, 0xb9eca06a, 0x393ad1c9, 0x18410292, 0x69894565, 0x6ef9989c, 0x36594eb9, 0x6a1a6405,
+    0x33c957eb, 0x56eb629a, 0x88f17ae4, 0x07774cee, 0xfad8ccb8, 0x14e5e0e9, 0x0ba52cc8, 0x60410030,
+    0xdbc459fa, 0x7c9df478, 0x4415f760, 0xc029aaa0, 0xab785c8b, 0x7703836d, 0x15e55f76, 0x768e48ac,
+    0x2da78d6c, 0xa02a85e9, 0xa8a1a6a8, 0xa9c00c21, 0xb90c2c13, 0xd6827539, 0x725b0ba8, 0xf4173626,
+    0x1680ca41, 0x05215309, 0xdafe6080, 0xcdc757e6, 0xe0ccc8f4, 0xc4345b16, 0x87203f20, 0x87c43508,
+    0x8d4b1904, 0xd8137351, 0xf0996b3b, 0x96e10367, 0x37348e5f, 0x7f40951b, 0x181d2633, 0xc2a95f11,
+    0x36d5bd1d, 0xdbc1ff27, 0x2e350c8b, 0xe78fdfd5, 0x8541469a, 0x1aee2ffb, 0x90ea2b15, 0x64d3110c,
+    0x9079d53f, 0x95ef2f25, 0x84c641a3, 0x6b0080a4, 0x6f05c8b3, 0x20e8ae5e, 0x1646072d, 0xb469886d,
+    0x26d69948, 0x40c330e3, 0x5a8d97d8, 0x1bbf16cf, 0x6f2f99d3, 0x5d87fbb5, 0xc4a6d48c, 0x3551a9ef,
+    0x55530361, 0x0dcdc668, 0xe874492d, 0x6d4b82e9, 0x40ea75fd, 0x8d0dbed0, 0x9d2319ce, 0x2a7f235f,
+    0xe2456aa6, 0x2f256b6c, 0xfa513df2, 0xd1f96355, 0x24857c30, 0x41aca05e, 0x44faefd8, 0xb956361c,
+    0x1495a592, 0x8b2c7907, 0xdb7bad51, 0x37bd9523, 0xd03be013, 0x30a04074, 0x62d20815, 0x8ce3f797,
+    0x8a539eac, 0x55fcb2b8, 0xee906d46, 0x8ff9210c, 0x989bd9fd, 0x9eba27e4, 0x19f4bbc1, 0x8a0c401a,
+    0x6dace634, 0x242ac9f9, 0xbca86b99, 0xac060042, 0xca7cc921, 0x7dd0cfc5, 0x2ffa2d61, 0x3dd8321d,
+    0xd6315060, 0x17d44d0e, 0x956626b1, 0xbe706bca, 0x8c96ee20, 0x593962b3, 0x6326cf1a, 0x0276ab27,
+    0x7f7d36fb, 0x5c3e651b, 0xe48a71bf, 0x6809aaa2, 0x14dca235, 0xc0c68027, 0xededc53c, 0xa9ee4136,
+    0x91b7e31e, 0xe2c5f7a7, 0x7e04b0f1, 0xe124ef08, 0x37e7a52f, 0x6db69031, 0xfa79cfd1, 0x6ac970cd,
+    0x42a8f795, 0xbc896148, 0x21c57e16, 0x94de07a7, 0x38da1c75, 0xe0e474e7, 0x098b769c, 0x82b863d6,
+    0xd2846b78, 0x2452e116, 0xf6408e6c, 0xa3affa5a, 0xefd6bc03, 0x538f0afb, 0xe3a5ecf8, 0xce0c233b,
+    0x83a9bb54, 0xea727a06, 0xedaaa7a8, 0xe4d0ce32, 0x8f0ff6d3, 0xb3d55760, 0x98a84f72, 0x0e8d555c,
+    0x1d737e30, 0x4bc8edb0, 0x22346ad4, 0x6bd8776f, 0x76f17506, 0x5ee0d8fe, 0x9ab8f8d4, 0x0945f228,
+    0xa4de2c44, 0x9dd4f764, 0x4e937117, 0x2e6aaab5, 0xc59f45ac, 0x047585ec, 0x7a6e231b, 0xdc076fc2,
+    0xb9a61f2a, 0x899c79fa, 0x07fbc228, 0x48e1380f, 0xb131af72, 0xe29e193a, 0x27c1ba38, 0x1e664fa7,
+    0x4f82c2f8, 0x0917a3e8, 0x82a85f18, 0xa74e92cd, 0x68ba304e, 0x04f5d105, 0xa14b39bf, 0x75a8cac2,
+    0xf12f72c3, 0x51a3bf75, 0x3d652da7, 0xc4334185, 0xfb52e2a6, 0x54a88047, 0xa9503a45, 0x06b5d408,
+    0xa110fb8e, 0xcfed9e31, 0x5814c93e, 0xdd1658f2, 0xee23c8dd, 0x901431be, 0xe0480512, 0xa4491b0a,
+    0xb1fa68e9, 0xf9511607, 0x448620ef, 0x0ddca3a4, 0x548aab09, 0x03030e85, 0xa7c29d5f, 0x62db1aaa,
+    0x3684bdab, 0x4a88bfcc, 0xdc5ac397, 0xa1281536, 0xfcc3632e, 0xe9d6ecca, 0x06ab9fa5, 0x8d0704c2,
+    0xfedb6ac3, 0x15554cc2, 0xebb953df, 0x0bdbf713, 0x819e9906, 0xf18b1910, 0x21e54d58, 0xf9ae9c4d,
+    0x0ff778e0, 0x414e66f0, 0x70c8f1d1, 0x7b7b4b33, 0x51de2b59, 0x6d2b69cd, 0xc9e46776, 0x5ec1c937,
+    0x315d3d32, 0xfea57e1f, 0x88a3dcdb, 0x6df8e922, 0x158c9ab3, 0x8439e7ec, 0xe9c7a145, 0x00cbbcbb,
+    0xf6908981, 0x4377b272, 0x15183e42, 0x8384a28a, 0xdf14bc3d, 0xc760f4c2, 0x70ca52e5, 0x0e3747da,
+    0x424ba350, 0x490d9f96, 0xdf25f2c2, 0x6afd6835, 0x8b77dda0, 0x8188ec0a, 0x2cc6dad7, 0x9e97c413,
+    0x6db275c6, 0xbe60d4f2, 0x142df146, 0x988c185a, 0x282f13b0, 0x4d5dc21d, 0xda99e7bb, 0x80904c7a,
+    0x482681c3, 0x80790c2f, 0x593df110, 0xb387e89b, 0xb0788d50, 0x6a69c0ee, 0xe8bd7543, 0xac2e51b8,
+    0x2d6f6135, 0x0ba73298, 0x1be2adc3, 0x44f92297, 0xe8f4a1ca, 0x88fc5584, 0xbd7580a9, 0xb9be3e6a,
+    0xf956adf2, 0xa8387123, 0xf72a65c8, 0x9be6f992, 0x0de98fe2, 0xe3931625, 0x68824dca, 0xde310aa8,
+    0x19286c2b, 0x0879773f, 0x2aeb146d, 0xdce8ff09, 0xa9163ae4, 0x74dd07c4, 0x154a0f77, 0xaa254a49,
+    0x01293bc2, 0x0e97967f, 0x801dbb9a, 0x31f1d550, 0x7035c613, 0xc2c803e5, 0xf8d4f465, 0xdd168002,
+    0xa410bb7c, 0xf9e171fd, 0x41cda173, 0x4a71f3be, 0xf645a601, 0x89825b1c, 0xb001781e, 0x5d8f5453,
+    0x79f31cf6, 0x13041515, 0x2797f1e1, 0xfca2afe4, 0x39871910, 0xfda48638, 0x1eb69a07, 0xe778f6a0,
+    0x9865ed11, 0xe298da04, 0xf1c43273, 0x220d0188, 0x51e295a6, 0xaa13c816, 0x6da3ffa2, 0xb04c5978,
+    0xc4d6a0b1, 0xfa3d394a, 0xeaecdb9e, 0x94f2a48f, 0x4b7fc609, 0x02bcc980, 0xe5ee4492, 0xc11cc159,
+    0xf9373ea5, 0x7ec1bc5a, 0x0839fe75, 0xbf28630f, 0x2572deaa, 0x77e5fcaf, 0x88d9d20c, 0xd84eae89,
+    0x95ce8b69, 0x9b7672f4, 0x6281dc8e, 0x7000e663, 0xf70f1da4, 0x8adc3500, 0x563b41e1, 0xeabe6b3f,
+    0xf70bbc77, 0xd2c163ae, 0xac74b891, 0x55349a70, 0x2388791f, 0x56818ed6, 0xe58a4f29, 0x891be438,
+    0x250fd6f0, 0xa1e1e1e5, 0x2e8e02da, 0x38c5ba19, 0xcd866669, 0x47a030ac, 0x38fecf0e, 0x7ac81303,
+    0x124ce953, 0x2434f60b, 0xba9689e6, 0x640de220, 0xc2214830, 0xe3b005c5, 0xd1988024, 0xd2b37cea,
+    0xd2439893, 0x8e64f77d, 0x9072f0de, 0x1d8f05d0, 0x5fa37824, 0xe7f3fbe3, 0xad564737, 0x32a1ac8f,
+    0x715b1bff, 0x9fbdad49, 0xe609d28b, 0x92d0da97, 0x18b60704, 0x075f94bc, 0xabe39132, 0x6cf90c8a,
+    0x3ff91479, 0x358f253f, 0xa75e3e6f, 0x0f3dab26, 0x131dca9b, 0x70063e92, 0x4cccaade, 0xd04b4cc7,
+    0xc44ea49e, 0x0591822e, 0xd24e51c2, 0x91571244, 0xfb9d67df, 0x02401fbc, 0x43551f46, 0x8e6c620a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000683515851494691226366\
+                          40694597425667667286544715412888638305331450311031224980497600734786781970432 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d,
+    0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfdf, 0x461e98be, 0x66bc0858, 0x8ab8316f,
+    0x00000000,
+    0xb0928bb2, 0xf6124067, 0x4a282b84, 0xac732301, 0xffd60232, 0x347ee2cb, 0x1f93532b, 0x64d5759a,
+    0xc8e95ce3, 0x52ee7909, 0x178a91bf, 0xe2ee7c60, 0x7c4aba12, 0x252ab913, 0x456f4cf1, 0x8f313362,
+    0x16dde237, 0xcc35ebbb, 0x520429e7, 0x4f1351e4, 0xdf5d97ca, 0xb5a204e0, 0xda6b19e5, 0x3b3371a7,
+    0x1b516b01, 0x360825fc, 0xa7b504b5, 0xb8e2d7eb, 0x7fdbc8e4, 0xed977439, 0xaa787e4a, 0xfa62f3a2,
+    0xe0ebd69f, 0xc614dd71, 0xaabfd2f3, 0xb4caae76, 0x39450ce6, 0xaf6a035b, 0x655bab2d, 0x457d77d0,
+    0xf09b82ce, 0x52ceb8df, 0x4a080a67, 0x64e07b75, 0xd7b806c6, 0x5e272d63, 0xba28b5bf, 0x0f075a17,
+    0x809b5e6d, 0xdb9fe401, 0x029540bb, 0x03418ac5, 0x52d4be93, 0x16b668d4, 0xed46f606, 0x902a7d3c,
+    0x24ed04da, 0xe568fbf5, 0x2c75998c, 0x6d60ac8e, 0x87d09ca6, 0xfdc7436c, 0x7d18e3e1, 0x9efdeb2e,
+    0x2bfd9584, 0xc802f4d8, 0xfab0a847, 0x3d4a864f, 0xe9009a05, 0x25d9e06c, 0xedaa75bb, 0x758f8a35,
+    0x52254fbf, 0x3f944006, 0x95677dc4, 0x1ee5d43f, 0x976c2bee, 0x46f57ca3, 0x6fa0e317, 0x48e56e78,
+    0x1791206e, 0x40354c55, 0x16041dc9, 0x074da4e3, 0xa9b8a6ff, 0x01995417, 0x55b2e824, 0xc19468ac,
+    0x97c85c34, 0x8d33a655, 0xbeecac1f, 0x186ed3ba, 0x631c698c, 0x6f8f992b, 0x4b4a7de6, 0xcabd892e,
+    0x28236d7a, 0x5ff63c2a, 0x410de9d8, 0x46d08884, 0x92ed25b2, 0x4c0d3ae1, 0x8ebfa6cf, 0xbbf9a74a,
+    0x67f50418, 0xb3012fce, 0x966d5577, 0xadaddd57, 0xce387d3a, 0x11b1a65b, 0xe84718d7, 0x27ac9ad7,
+    0xa537a444, 0xa89b6b0f, 0xa6f48d06, 0xf54222cf, 0x20f96a68, 0x3dd098e4, 0x04a5564b, 0x2f6425e1,
+    0xc0a83e67, 0x32527bc3, 0x6d484a5c, 0xc18e5788, 0x7401c744, 0xda6c7221, 0x69bfa848, 0xee7c6c61,
+    0x15ea5f38, 0x127dc107, 0x5b5b9793, 0x094df189, 0xad0e22b4, 0x1877a93a, 0x60f35429, 0x8dee9e12,
+    0xf72758e3, 0x44c61129, 0xac7d06ba, 0xcd97d3e1, 0xdaac9ad8, 0xc686a065, 0x28dd73c1, 0x4f10160c,
+    0x55477faa, 0x61404382, 0x9c0b8a9c, 0xdfe35aac, 0x444decd2, 0xbb83bbc5, 0x5134ae0f, 0xc21c7afb,
+    0x4c27d771, 0x72c58931, 0xc2bd227c, 0x4888f158, 0xf7f935a8, 0x1fd1c906, 0x7c92af48, 0xd6bfc654,
+    0xbe282e6a, 0x86d505c7, 0x00b804ef, 0xceab72ee, 0x134bc178, 0x8be6c65e, 0xbe2cbe47, 0x73854dac,
+    0x794b3b0b, 0x880a45ec, 0x89f5c135, 0x84e3f4fc, 0x81d2d47d, 0x7c901b8a, 0xdbf4611f, 0x4b4261cd,
+    0x1cfa82d9, 0x138173ed, 0x5654b1be, 0xc88b70fe, 0xc96ec617, 0xd1d7afee, 0xbad4ac17, 0x79aa86ec,
+    0xda066e24, 0x2c4f7414, 0xd74fb617, 0xdcad9336, 0x9e8ce030, 0xc2998e81, 0x1f030169, 0xd974247c,
+    0xa2cab4a0, 0x563cf9ef, 0x6c5d35df, 0x58b92328, 0x5439f780, 0x2c45cc7a, 0x0be4a78e, 0x70b04603,
+    0x18829ec5, 0x60d1b8a6, 0x758513ed, 0x65dfdd3f, 0x1eb7d2a9, 0x80cd96c6, 0xc3c85c95, 0x1537e3af,
+    0xf83d64bb, 0xe89d8ed6, 0x0632232a, 0xca70f615, 0x663587c3, 0xa9971fbf, 0xf1838f32, 0xda52ac71,
+    0x1fb25c65, 0xb4622c6c, 0xfb01d0b7, 0x8734b55e, 0x8801d7de, 0xb1681506, 0xc1d6fd76, 0x9a2c45d9,
+    0x9f13ad30, 0xa913d1d8, 0x2379eb56, 0x7a80eaa3, 0xae48110a, 0x78b6e84e, 0x5e8e477c, 0x9ad15ca9,
+    0x75fa72bc, 0x7950da70, 0xf8e4f875, 0xeef480ab, 0x1127ea9c, 0xeaf899d7, 0x17817449, 0xf19482aa,
+    0x0c359408, 0x9ca2cdc0, 0x43f57dac, 0x4264ae78, 0xbc9479c5, 0x4aeefe60, 0xf152cd8b, 0x07c9988a,
+    0x72b1372f, 0xe1fa2a70, 0x45848cc1, 0xb6ab04a9, 0x7c98cf65, 0xe4621cc1, 0xdeb61b32, 0x9dc45b8c,
+    0x27c63199, 0xae719cb6, 0x501bf545, 0xa8cb9752, 0x69159bec, 0x470fb0a8, 0xdc316bda, 0xf0a7d0c3,
+    0x33dfe97c, 0xa6825e35, 0xf6a74f1c, 0xd26a84ca, 0xeb6b1515, 0xb973af6b, 0x921a17b4, 0xb8d029ce,
+    0xd52e8a0f, 0x4e171ae8, 0x17337033, 0x67d92c72, 0xbcb36f1e, 0x1aaf733d, 0xef4c3e8c, 0x9c3e25ad,
+    0x24b79564, 0xb1b89892, 0xd8d14378, 0x79900dcc, 0xf6b57892, 0x58b7ca37, 0x8a61a185, 0x6f4db204,
+    0xd0bf63ec, 0x51505981, 0x09a1d5e8, 0x5b11f0a9, 0x75bd34bd, 0x0ff84d2f, 0x15c24437, 0x83125bb6,
+    0x964ec147, 0x86ac288d, 0x1ebf564e, 0xeb05aeaf, 0x0f1728a6, 0x6723ae4b, 0xf534688f, 0x8ae087f7,
+    0x3177b5c9, 0xce846fbc, 0x66ef13a2, 0xb399c9c8, 0x7ef90936, 0x3b07feee, 0x412e6caf, 0xde45c331,
+    0x5aa93da7, 0x2faad58b, 0xe2d96154, 0x915e09de, 0x9d9253ce, 0x5f296fa8, 0x5823340a, 0x52ff6164,
+    0x4d8e3ea2, 0xf841e52c, 0xe80151eb, 0x6d03879b, 0x229e76cc, 0x7c9f0a2b, 0xada9f4f0, 0x80cbe8b7,
+    0x2eb80827, 0x3a70b891, 0xfeeafcca, 0x086cf09c, 0xb39479fe, 0xf8f9a92e, 0xde109998, 0xfb04a640,
+    0xa23ca5a4, 0x502977d7, 0x3fda8bc4, 0x7d2413c4, 0xb7ff77a1, 0xa2663244, 0xaed85179, 0xf4b49fd7,
+    0x347890ed, 0x141fe37b, 0x731f6de8, 0xaf6d5399, 0x16f2a181, 0x47ffa73c, 0x29622b08, 0x23a7fb19,
+    0x3f929286, 0xbd89e54d, 0x07145bfe, 0x1c8debcd, 0x15a81848, 0xa50f8d72, 0x0911e1ba, 0x4249c088,
+    0xa2511b84, 0x22fcd6e4, 0xda6364f0, 0x5f938e1f, 0x3514f5ae, 0xb4730fcd, 0xee076845, 0x8e8dd449,
+    0xdd8e1af1, 0xdc3fb58c, 0xa5933945, 0x670274d4, 0xb125ab3f, 0x9378fac5, 0x29728f39, 0x7bf99b93,
+    0x06c8d0ff, 0xec5b2d40, 0x321c8c35, 0xbe312945, 0x497787d1, 0x93b6e8e3, 0xa6deb3b9, 0x02b296fe,
+    0x8134e2a2, 0x584f1ced, 0x8dba58a5, 0x036b913b, 0x2a4e40a7, 0x3ee650b6, 0x49fc470a, 0xa60465e2,
+    0xd98d1612, 0x04253e91, 0xff295bcb, 0x3cda7078, 0x71df591d, 0x430e2a45, 0x89848d01, 0x71df3888,
+    0x6ba4687e, 0x69be2d92, 0xbf53ec09, 0xc576884e, 0x1b58285e, 0xc83a2a0c, 0x41bf75a3, 0xe98cb5ab,
+    0x93662fe8, 0xda444e16, 0x8913b3ec, 0x7c46651e, 0x90212db4, 0x64938d38, 0xadef902a, 0xe95e6ec2,
+    0x6fa040a4, 0xe550a839, 0xac4b7339, 0x9977ab86, 0x21ffdce9, 0xfab17634, 0x3043c275, 0xa1bd1af8,
+    0x7bfdbb90, 0xe3c75b64, 0x9fa8ae59, 0x8fe24c8a, 0xe4f1c952, 0x704889bd, 0xdb17e670, 0xd9e178ca,
+    0xa81df49d, 0x89edad43, 0x6551234e, 0xcf390cad, 0xb602d011, 0x74c1146a, 0x3f8c1316, 0xfff75e62,
+    0xc7476d3b, 0x4def0f6d, 0xa0dcba0f, 0xc3079282, 0xb1cd2f65, 0xa3dd0ab4, 0x69559069, 0x968c0163,
+    0x892d5aed, 0xa07ea769, 0x11d0b49a, 0x18a9e510, 0xb59243a6, 0x0ded4619, 0x6c3fb3d1, 0x98b397d6,
+    0x10aec5c0, 0xc6bbf63a, 0x74592b1f, 0x764eadb0, 0x6cc076dd, 0x3dc4b236, 0xf46d50bb, 0x7207fdc4,
+    0x40eb5441, 0xc7f867df, 0x66686be1, 0x8f6d5832, 0x6140d5bf, 0xcd96bd42, 0x04ecc018, 0x0375df2e,
+    0x8c20ff37, 0x8f16b198, 0xe20a24a3, 0x34412a1f, 0x80761c9e, 0xcaaf9134, 0xaa6b36d3, 0x94af2121,
+    0x26b290c8, 0x79ea54fb, 0x2a4f500d, 0xd969ab6f, 0x8118013c, 0x45870d69, 0x3c18d86f, 0xa55d6d8b,
+    0x81696244, 0xfa0478cf, 0x3fd7d7a3, 0x9f6fe980, 0x6bcdec5a, 0x8b878947, 0x8dc18e84, 0xdef63f08,
+    0x0894badc, 0xe9ddaa76, 0xbc3aaaaf, 0x92cfbe82, 0x362385de, 0x9f9f6f6c, 0xeb0c2054, 0x208100bf,
+    0x68f6b9e0, 0x8878ce56, 0x43583c88, 0x3513e06a, 0xb6476eb3, 0x34347e6b, 0x5c2aa86b, 0xa986f433,
+    0xa7924400, 0x81b961f9, 0x7456c234, 0x492c4792, 0x8556da56, 0xf0776652, 0x6c278875, 0xd9190966,
+    0xa88fe09d, 0x4c924591, 0xa8994fe9, 0x88e9cbbc, 0x68f52db0, 0x8285c96c, 0x9d06b76a, 0x6e774470,
+    0x7135a83a, 0x5a82b42b, 0x29bea2c8, 0xfd4a5324, 0x41747581, 0x89436623, 0xfbee397d, 0xc954458a,
+    0x8dc7a776, 0x1355b8e9, 0xa938bd76, 0x04fa6cef, 0x56547f0c, 0x41208157, 0xc2e55010, 0x20fe9cd4,
+    0x0b10b853, 0x91fac003, 0x137ed470, 0xb58ffef4, 0xe25b6363, 0x3f884b03, 0x5da6c7f4, 0x38d81e14,
+    0xb8dfb646, 0xea1d24e2, 0xa0e7a244, 0x2674b141, 0xb20933e3, 0xa356a9e3, 0x077b2672, 0xe34d7a9c,
+    0xc0bc709f, 0x4321e272, 0xd3d42579, 0x22a222e1, 0x3f120e3c, 0xbd199205, 0xa0388fcd, 0xc0e6857c,
+    0x2c6587fb, 0x63063a57, 0xa091ad27, 0xeea40d90, 0xc38794c9, 0xb795f97e, 0xac1d4977, 0x190fbdf0,
+    0x7316c03c, 0x92b9d117, 0xc67edd80, 0x13759345, 0x704582fc, 0x02e45c20, 0x0020fd6a, 0x60be5a65,
+    0xb8a18958, 0x03c650c9, 0xc0e6816c, 0x6e3291ba, 0x820c6247, 0x7eb60ce3, 0x5feb9860, 0x5f2ec176,
+    0xa499e260, 0x68544f1e, 0xf91a194b, 0x6be89295, 0xa0eeeec9, 0x64e9816f, 0xfa77a749, 0x916baac1,
+    0xfb7dad32, 0xc8b09b55, 0xda39c98c, 0xe0764a38, 0x425d4fd9, 0x8e549ed4, 0x125306dc, 0x96962527,
+    0x16e285d7, 0xd6d3d2f3, 0x5d492d97, 0xd7fde5e5, 0x94fbaceb, 0xf3bc0edc, 0x34890837, 0x4d39b3e3,
+    0x15d9c9ce, 0xbc53a5b4, 0x80612bf9, 0xc2b7c653, 0x10609e04, 0xc7102de8, 0x35c661d8, 0x8e63841a,
+    0x5b44a1f1, 0xb8d8df6a, 0x699e1579, 0x9089dbdb, 0x94f874c2, 0x32a2654c, 0x9925d7ea, 0x96a5e090,
+    0x1502423e, 0x02732b5d, 0xb43e48b5, 0x74dd0e3c, 0xf4fe58b6, 0xaf12a285, 0xae3d9052, 0x53ef862a,
+    0x614a26f8, 0x68ea5f68, 0xf7513eac, 0xca3f0e2a, 0x1eb9380b, 0x24e7614e, 0x5c5406fb, 0xfbcaca9e,
+    0x1f3cd82d, 0x7a71ac7d, 0x1dc13a17, 0xba8d521e, 0x3df2f289, 0xcbd41079, 0x720649a2, 0xad15d088,
+    0xee4a51b5, 0x8d215e25, 0xd003bebd, 0x56d68392, 0x732336d1, 0x6fca228e, 0x8131cdfd, 0xb8a5af05,
+    0x4a1d8442, 0xb7f6e3f8, 0x69e988d7, 0x7255214c, 0xf3bcfb37, 0x9dc896d8, 0xb6d0d9b8, 0xee990fcb,
+    0xfa341f2f, 0x4c82e3ef, 0xc931f676, 0x67133527, 0x2310f22d, 0x767d4f8b, 0x46118c23, 0xf668f5c8,
+    0x24582fb5, 0xfb5dd2b6, 0x0dfa2dc9, 0xffc948c7, 0xdaf0abbc, 0x1c4a95cd, 0x9cab9f32, 0x5bfbb984,
+    0x8b28cd5d, 0x5a266018, 0x82024575, 0x8fc12b0b, 0x446cf66b, 0x8db2588d, 0xf929d2f8, 0x9fb59fcc,
+    0x16662b0b, 0x65cc89e4, 0x68c8326b, 0xea00dbcf, 0xaaafe22b, 0x77646437, 0x0edcd693, 0x3a3e8822,
+    0xc29ff8bb, 0x0a7ffafb, 0x10efa2a1, 0x9efec2de, 0xb03fbba1, 0x6bb7b6fe, 0x8fe316b3, 0x4c0ceebb,
+    0x6fad6e06, 0x0da5c8e7, 0x6ca37b21, 0xd1ccc605, 0x714b7758, 0xdd5ebf07, 0x2b67f1ca, 0xff0be07b,
+    0x74f10075, 0x13b3f5c4, 0x34183026, 0x709398d1, 0xdf610377, 0xc63420f6, 0xe44c31de, 0x3cddaf33,
+    0xc4d697fc, 0xb095d40f, 0x0e69e4b4, 0x679116a0, 0x9a3c248b, 0x76f83ea9, 0xa5cf4584, 0x6a668680,
+    0x43dc9f19, 0xaea561d1, 0xc9734689, 0xb988d00f, 0xa2acf944, 0x7a762d20, 0x63d6f9e4, 0xb23799b1,
+    0x2f6f7f63, 0x0743a074, 0x335971e9, 0xcc8256f7, 0xe6be8cf0, 0xa1e1f955, 0x572c3a2f, 0xcf5cffff,
+    0x161329e0, 0x3d8b6102, 0x054d66fd, 0xd9901fbf, 0x7688cd4f, 0x0f148339, 0xb2f850f4, 0x679629f6,
+    0x774b15eb, 0xe76518dc, 0xf017e42d, 0xc78b5c13, 0xd32ff609, 0x02ffd4bd, 0x8f87ab03, 0x9c7982d0,
+    0x607a4ead, 0x3b6c5d4a, 0x09f7e58d, 0x2188afd4, 0x3effeb48, 0xfa8be72a, 0xeb539030, 0x1cbec976,
+    0xdfc8868b, 0xa95d8bd3, 0x1fae2b64, 0x9f4bd7d4, 0xfdd3001d, 0x9d0d1d31, 0x5a42fae6, 0x29253d5d,
+    0xabda2c8b, 0x60784e58, 0xd335fe3e, 0xded7d14c, 0x47e47b13, 0xa971b158, 0x92db0f49, 0xd3ff353a,
+    0x0cd61b0c, 0xa3af11ff, 0xc56d3e98, 0x9bddfd9a, 0xbd1d6844, 0x755de25e, 0xa0c1db5b, 0x5085d9af,
+    0x95489c42, 0x89b2e691, 0x884c2273, 0x951162f2, 0x0b4bde2e, 0x47a2e811, 0xc30a10af, 0x78cfcf74,
+    0x858d8455, 0x5ac89e0f, 0xc179a685, 0xac8274f6, 0xc6910aff, 0x0be40ee7, 0xf16399b9, 0x174f8959,
+    0x773ade3c, 0xfe0eb0a2, 0xe318d530, 0x4491c126, 0x3c08109b, 0x9a2dd51a, 0x60a2b670, 0x489c7448,
+    0xf47d82ca, 0x03420242, 0x7ac10796, 0x22b5e6fa, 0x61f55e2e, 0x46e51d37, 0xca457ec0, 0xfb2e1244,
+    0x5c939301, 0x27a104cf, 0x697650f4, 0x949b76b7, 0x7bf07480, 0x03615ff5, 0x675b168d, 0x0d5375f6,
+    0xc6132d10, 0xaf23a777, 0x363d1e86, 0x17cb26ce, 0x1b8a39d8, 0xcec3ca97, 0xb368808b, 0xd0e4e1d4,
+    0x7b5d8c91, 0x43b97927, 0xe6810b38, 0x3b69594a, 0x1c84461b, 0x4a50bd7e, 0x50571556, 0x283de74c,
+    0x72baf18a, 0xe0b6f556, 0xbe80b441, 0x6207a8f1, 0xa968c80e, 0x9ff9b08a, 0x84d64481, 0x466869ef,
+    0x34d34584, 0x31edff43, 0xd6b82743, 0xa326ab08, 0xeab6a0df, 0xe52b433e, 0xd78499cc, 0xe1d3ee8a,
+    0x5bb1c601, 0xa5e4f1ac, 0xfee61f1b, 0x398c44e3, 0xa0b1157c, 0xe7182a4c, 0x8b2b8590, 0xd98f6226,
+    0xfd3f5471, 0xe8155896, 0x18b4c460, 0x6d3970b0, 0x813b3f34, 0xb174d0f2, 0x7d86d672, 0xc30930fb,
+    0xae605a56, 0x7d80a3d0, 0x7eda7312, 0x08e99295, 0x54052bfd, 0x7d5b33ba, 0x3e7260a9, 0x50cd0c4e,
+    0x067c132a, 0x47720a9f, 0xe026ef82, 0x728c0455, 0xcb6ad187, 0xee80ea6f, 0xb8cf695b, 0x88607902,
+    0x9d1fcb1e, 0x6d8ad429, 0x2e0e9e37, 0xddbc17c7, 0x90c6d6a7, 0x7848283c, 0x651f92d6, 0xa1a5a23a,
+    0xc81dfd93, 0x5e9ac4dd, 0x7fbc9eab, 0xe3ee7b44, 0x3363510f, 0x346036ee, 0x50add7c3, 0x39fb0a88,
+    0x368f2d20, 0xc0e2fadb, 0x70f15370, 0x778c5db2, 0xbd5cde76, 0xee56891b, 0xb42250db, 0xba54e9de,
+    0xb81be6c6, 0x5c63a596, 0xa42d838b, 0xc14d70d0, 0x21e3f129, 0xbc548c8d, 0xa4d2ac6d, 0x8642c280,
+    0xf0c7b5db, 0x7b7b0f59, 0x15aaf0b0, 0x50d4bb9c, 0xf6159288, 0x9eff295e, 0x67f74924, 0x815b39a3,
+    0x064eb358, 0x053a9bc9, 0xce1a525a, 0x69034d40, 0xc4350cf9, 0xfab015c0, 0x3c3e8284, 0x68b6f81e,
+    0x0256cd33, 0xd1819689, 0x0aff77fc, 0x4d96095b, 0x5e3ab1f8, 0x077c08a8, 0x6d76c7a2, 0x5cdc6226,
+    0xb3d3f92b, 0x756f443b, 0x7d84ef83, 0xd0f7ed6d, 0xf9f36880, 0x6b087e0c, 0xaccced8a, 0xb94773a8,
+    0x3fd28aa6, 0x87517fe0, 0xff3b74bf, 0xc03c5d31, 0x5aa92da6, 0x5c8e77ce, 0xb09851e5, 0xa0ec5740,
+    0x6d2b44d6, 0xb72b5093, 0xb5d5b810, 0x77f68df0, 0xa53396c2, 0x8837becb, 0xdd4d8c2f, 0x40fe201f,
+    0xfc53ef40, 0x8ef6da0c, 0xd7b7aa1f, 0xb8f01a1e, 0x91d15e08, 0xa23b046b, 0x4b7cb4f0, 0x59baaeb4,
+    0x42bdb5f8, 0xa12505ce, 0xc792bc40, 0xcbedf9ab, 0x5a7a4c5d, 0x40de23a7, 0x35b0d630, 0x773ee123,
+    0xdefe1ff0, 0x172b375a, 0x394c9600, 0x51a8d18f, 0x16eb00af, 0x9eb660d6, 0x4da535be, 0xe612d319,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000341757925747345613183\
+                          20347298712833833643272357706444319152665725155515612490248800367393390985216 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036,
+    0xda812016, 0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fef, 0xa30f4c5f, 0x335e042c, 0x455c18b7,
+    0x00000000,
+    0x9656528d, 0x93e03a77, 0xe1d6ec6f, 0xc2e81771, 0x2c081e39, 0x483465dc, 0x3ad60277, 0x32f243c4,
+    0x50e40c38, 0xdf8f9967, 0xc97c23d1, 0x1a02c66d, 0xafe2ba94, 0x62fc7a38, 0xb5a03914, 0xf0a4e15c,
+    0x349830b2, 0x6177bbf5, 0xaffc4022, 0x53dfb108, 0xed031832, 0xd1ef83e5, 0xcd9d0b1d, 0xa0472dc1,
+    0x344f0c90, 0xce5bec42, 0x292d83b9, 0x68696578, 0xf56b2539, 0x6f277415, 0x2997cf64, 0xeef1253d,
+    0x0457e0bc, 0xd845dd0b, 0xb58c7aaf, 0x056b306d, 0x70a9cea5, 0x9c14a70c, 0x01594dc1, 0xea8ec6bf,
+    0xa9a92ec4, 0x3232bc3d, 0x226469fd, 0x96179257, 0x89b8911e, 0xfbc53bdd, 0xf9786647, 0x18b01c21,
+    0x0db1af71, 0x4ca30e40, 0xdbc75deb, 0x0ca102ac, 0xd1e18e4a, 0x39e54d45, 0x381fe10d, 0x482a33a1,
+    0x182e559a, 0x3ae568c6, 0x5423cfb9, 0x1d465a0d, 0x661c25ee, 0x60599b30, 0xa58b654f, 0x733c92cc,
+    0x097ad8a4, 0x67d06661, 0xc6ce9311, 0xf7e25edc, 0x62fec6c5, 0x2df7a122, 0x91b75a88, 0x182f67bc,
+    0x200f47c2, 0x336c8099, 0x24c90e1a, 0xd8cfc9f3, 0xe6011b4b, 0x746d8708, 0xa9bfff99, 0x50022bee,
+    0xaaa5d937, 0x969b2cb7, 0x411e95a1, 0x46acaa20, 0xbeba6358, 0x46391f37, 0x6c76de95, 0xbe6e28f6,
+    0x86114b91, 0xb8cce5e1, 0x23a2577b, 0x300c3328, 0x5be8a76d, 0xa1d95bb7, 0xe65546da, 0xff95b05c,
+    0xba14c747, 0x3c30f07a, 0xd437747f, 0x840919e3, 0x8339a16b, 0x901d6e3d, 0xc479a1bf, 0xd1b92f74,
+    0x4a8a1682, 0x44570ff3, 0xe42e4172, 0xdd81b040, 0x47775dd8, 0x171bcaa1, 0xb8c54201, 0x61f40b9a,
+    0xf766e28b, 0x135b2edc, 0x5dc7c940, 0x2b4fde3d, 0x35bf9208, 0x49562d9d, 0xf9e13fd6, 0x30229ed0,
+    0xe2d0a481, 0xa10a1457, 0x19f78c57, 0x75726c00, 0x6924ad91, 0x0bceb9c3, 0x283d6bbc, 0x6cbd2084,
+    0xa3628471, 0x0f3f29b2, 0xa048b864, 0x73a421a5, 0xefcb9309, 0x271c5647, 0xc3fd898e, 0xcc71b159,
+    0x3a651fba, 0x5c70fb81, 0xdaf6a81d, 0x81595fa3, 0xd84258ff, 0x6abe9f84, 0x62c04ba4, 0xaf0fec7c,
+    0xafdf17d6, 0x65ffb247, 0x566f2a6f, 0xf823451f, 0x4fd125bd, 0xa0724af1, 0x96c788e9, 0xe08f5ecd,
+    0xa76522e6, 0x77c7539c, 0xfe8af4aa, 0x817dd6af, 0x838ff78a, 0x703f2480, 0xf22507be, 0x48a52538,
+    0x1bb91a48, 0xac6da249, 0x7e4db26b, 0x4e582fa2, 0x6caa3566, 0x951d5da2, 0x39c4ac4d, 0x240013f9,
+    0x46b524f3, 0x38457e90, 0x12f9e2b1, 0xad8580a7, 0xbc039bd1, 0xef87d33d, 0x5cb82e2d, 0xcdd604c4,
+    0x2c9bdabd, 0xa3bb4033, 0x7b3508e7, 0x8c9e3f23, 0xe2e92639, 0xe9f187b0, 0xc61e34b0, 0x7c89ad47,
+    0x278cd8ff, 0xac6f2832, 0x571f5110, 0x0efdaa38, 0xdbf69a0f, 0x32f93514, 0xee76e67e, 0xfd2dae28,
+    0x17c20ce5, 0x55a658f6, 0xfbfc0021, 0x0c2cc8fe, 0x764b58e9, 0x089ad795, 0xd7d817de, 0x12451478,
+    0xa22baba8, 0x7bcabfc1, 0x9cae1398, 0xb0fdc1b5, 0x15f51d4e, 0x08e16722, 0xa4383837, 0xdf8f50df,
+    0x1189443c, 0x58084a90, 0xd9bcf05a, 0xb1db150c, 0x03b82859, 0x4696727e, 0xc6bd6b98, 0x99a9781a,
+    0x0a87fcef, 0xbf8893d4, 0x2ec14967, 0xa142b4ff, 0x1649c08c, 0xb6c61631, 0x30d8140b, 0x50288021,
+    0xec117751, 0x69ed0c09, 0x4bb1b856, 0xd6d00b90, 0x9a543e0f, 0xc2faf184, 0xf7db3337, 0xebb3491b,
+    0xeba792df, 0x71ba67bf, 0x48981204, 0x247e6267, 0x851d4556, 0x6c1adc91, 0xef9dbb86, 0x9df75223,
+    0xc04d27f9, 0xd5c69c9a, 0xbc2cf1ca, 0xc47eca7e, 0xc2020c9f, 0x606ee0d1, 0x1796c8d0, 0x0d14bff8,
+    0x150162ed, 0xd2bf2c71, 0x5846a5b0, 0xa511044f, 0x3b3dd8d5, 0x931e48f5, 0x899221fd, 0x3b677305,
+    0x20f261eb, 0x920a271c, 0xd9d7c422, 0xf8fe3e99, 0x0816cbdf, 0xb74fd98d, 0xb3e2bbe8, 0x1786b5da,
+    0x6089c261, 0x3ad824ea, 0x27129005, 0x1a4ca565, 0xe9a33500, 0x43656fa6, 0xabc27e4a, 0xc79e0831,
+    0xf381cb93, 0x33c63452, 0x0fd377ae, 0xbaea6bce, 0x129239de, 0x17c250e8, 0x534f28af, 0x47df38a2,
+    0x57bd37ca, 0x98c6ccd2, 0xc72b7dbd, 0x2e09336f, 0x96a6dacc, 0x0dc49c96, 0x78bb5545, 0x68efb8db,
+    0xf4f4430c, 0xdf4d96d8, 0xd54ccc3a, 0xb853c42b, 0x5619358e, 0x04bc3be9, 0xd8b25eb9, 0xb65eb4c1,
+    0xbf5a6b02, 0xe53ec3fa, 0xe684d05c, 0x415d614b, 0x37c7e653, 0x42f00f6b, 0x8665df9b, 0x127329a0,
+    0xe9072389, 0x9a459624, 0x8ac3d293, 0x029c7427, 0x07125aab, 0x8eac7e05, 0x7311a4f3, 0x68ed7a5a,
+    0x75ff92b5, 0xe1aee2e7, 0xcbcef52e, 0xd9f3adac, 0xf47bc6a8, 0x877484cc, 0xa0f8a7bd, 0x48ab3e97,
+    0x7521983f, 0x1b8d32df, 0x3a261ad4, 0x99bd51da, 0xfab63204, 0xdbbc8c52, 0xd9d35c2f, 0x6f376052,
+    0xc401a3be, 0x2b5e571d, 0x356a1dfe, 0x690997a6, 0xf0cf4d14, 0xa8d97d07, 0x3339d486, 0x123b191c,
+    0x73552a7c, 0x0b1710d1, 0x5c1c5c3d, 0xc8a78786, 0xf8da4085, 0x1119852a, 0xe94be81e, 0x92d94ba0,
+    0xd8915585, 0xa789e130, 0x5f8b0689, 0x933a061f, 0x1af011b8, 0x7098da3a, 0x10aebbc7, 0x6898dc8d,
+    0x3817aabb, 0x5160447e, 0xbbb572eb, 0x5c357f48, 0x31801b0c, 0x37e040c0, 0x57f7477f, 0xcf4afbe8,
+    0x4806870f, 0x01e20e0b, 0x9f774744, 0x3f2c0e75, 0x29e8b3f6, 0x064dab25, 0x2af3de5d, 0x34d114ad,
+    0x53106319, 0x14666e17, 0x04bf4d1e, 0xd28ac7ef, 0x0f738eb1, 0x2ae4db94, 0x78ab62c9, 0x5ddb636c,
+    0xbcbf3cae, 0x002212b7, 0x11f9f7a5, 0x2730306b, 0x6bda2397, 0x0564a4de, 0x2a7d7608, 0x93efd7c8,
+    0x1c5e9afe, 0xe7a2c303, 0x62704307, 0xdff6efdb, 0x398e20eb, 0xefba3540, 0xbf14dfc1, 0xcd1749d3,
+    0xf9cd8191, 0xd3a70c3b, 0xa0eb10fb, 0x14c01d3a, 0x1ccab0c7, 0x068cffd4, 0xb97710e3, 0xbdda5a24,
+    0x7ac5a14e, 0x17a8501e, 0xdbc4ffd4, 0x570cea6b, 0x6f1c45fe, 0xd61fedbe, 0xee071553, 0xe0797090,
+    0x0db7f9f7, 0xe5ca98a2, 0x309323fb, 0x340bbd1e, 0x071955b7, 0x88df826b, 0x79d8f4ef, 0x808d5ad8,
+    0x7fa91209, 0x8302d82f, 0xe7dcd78b, 0x675d8dbe, 0xbcb6720a, 0xed8e1de2, 0xe8180975, 0x877fa155,
+    0x9bf5c2c7, 0xecbad738, 0x5eea8f3b, 0xa1f90437, 0x510c2527, 0x25f3ec38, 0x8a9821ab, 0x4a1a63b7,
+    0x05d4b3ae, 0xe851192c, 0x5c3bf56f, 0xb20fee62, 0xcadeaee6, 0x604e352e, 0x3303d245, 0x83d14d94,
+    0x0d18b108, 0x57c3fc1d, 0x091e708c, 0x2898440b, 0x0ae9104a, 0x87198461, 0xcf0c26b9, 0x753d6cce,
+    0x4b54bcef, 0x2cbb23ed, 0x670eb121, 0x867c4462, 0xb264cce9, 0xc49ecfd4, 0xb9f7cb0c, 0x74bcd1d8,
+    0x7dc5bd3a, 0x02c36e99, 0x647372a7, 0x9695182a, 0xd3b19432, 0x65746ffa, 0x3e1274ff, 0xbdd8884a,
+    0xc46855d1, 0x81da855b, 0x5dfc6ce4, 0x2a16a062, 0x9fdca6a4, 0x8b82cf7b, 0xb7715a3a, 0x3a451e56,
+    0xf5416c7e, 0xb3390533, 0x26cb0415, 0x13b5b9bf, 0x909cf51d, 0x923c6111, 0x4f5fdb38, 0xe7b88385,
+    0x0a06511a, 0xd03de402, 0xc5f2e04f, 0x2f2549e7, 0xb1b41c6d, 0xc4ffb324, 0xc96bfa4e, 0x5b2dd9a9,
+    0x009e09e4, 0x025e4585, 0x5e0f6c55, 0x6833a89d, 0x7aa3a4e9, 0x868e558c, 0x91f9181b, 0x1a7f8faa,
+    0x2dad16c1, 0x5d9a0b04, 0x98425478, 0xcfc10b26, 0x2bac1eaf, 0x2cf80904, 0x856730c6, 0xfee53f58,
+    0x80f0c8fa, 0x1ee7d313, 0xd9a35a2e, 0xe69a030e, 0xaf997db9, 0xbfa1b993, 0xade0e5fb, 0x0c3b2789,
+    0xccab62df, 0xc814f012, 0x6575c781, 0xa28b93c8, 0xfed02f30, 0xf0dcf69e, 0x98b243cd, 0xdffaf431,
+    0x06ce6433, 0x144e4763, 0x7dd54bec, 0xd7cf09d7, 0x2aa2f49a, 0x939bf519, 0x52c2034c, 0x7b010788,
+    0x8a08652e, 0x1a7fb66c, 0x5ad7fa1e, 0x5dade3b0, 0x3e5bc227, 0xee36fc28, 0xe5c5e773, 0x2c12d595,
+    0x4162c0b9, 0x0886613a, 0x280e70ea, 0x5049d7ba, 0x23f3a8b9, 0xd48168ac, 0x0058cf57, 0xe05cfa9b,
+    0xccb4beb8, 0x8a2afec1, 0x6fa0fc03, 0xaeae1813, 0x6f5dd30e, 0x23b29915, 0xb8c5f5d2, 0xb5cf1774,
+    0xf08c7035, 0x4fbaacbc, 0xf3aafbb1, 0x7908edac, 0x64081282, 0xd976c098, 0xfcde5e6e, 0xdcbadd9a,
+    0x86e7850a, 0x079cf8e7, 0x662cdac7, 0x5c644131, 0xeaafd1bb, 0x446bbb7e, 0x622ccffc, 0xe2eaa2f9,
+    0x31c69711, 0xc2d03b67, 0xf72e2713, 0xe4468587, 0xf468c5ba, 0xc03e03cb, 0xa8afc1f3, 0xbc614783,
+    0xcb4ab24a, 0x382e8940, 0x7166f976, 0xdb2931df, 0xf16e95b2, 0x4217a00c, 0xe1e2b0ca, 0x1877fc36,
+    0xf9c31c01, 0x48d1ec5e, 0x19ef5228, 0x196499a2, 0x720d7db9, 0x68924ffb, 0x7d1f9195, 0x6726fafb,
+    0xe108a414, 0xfbf342c9, 0x3ce0b428, 0x0953d2f1, 0x58f3f5d2, 0xb88b0394, 0x1a75adba, 0x1a223b58,
+    0xc9e21294, 0x43cd9328, 0x42eb7115, 0x71705685, 0xd5fc1ac8, 0x9da25161, 0x3bb868b8, 0x8133e728,
+    0x28d240d5, 0x32037975, 0xd8c93766, 0x93e0e0ba, 0x5eb621a7, 0x339d23e7, 0xfc16b132, 0x23b1c719,
+    0x67acf1a2, 0x78ea81ad, 0xbe8805b5, 0x95a8084d, 0x3a4f8850, 0xf65dce1a, 0x501399a1, 0x810e6a06,
+    0xec4f51ef, 0x1eba2d7a, 0x298f2c64, 0x36e11091, 0x666baccb, 0x4a6035ed, 0xa1cbfbdc, 0x75560956,
+    0xc76230af, 0x501b11fe, 0x5adaaa04, 0x5d691337, 0x02f06034, 0x17b207e9, 0x166bb18a, 0x09f7e86e,
+    0x61e94039, 0xda3b12e8, 0x91944e54, 0x66cedbc4, 0xcbe9dcf9, 0x3a6cbaf1, 0x58bcfe0c, 0x83f1e1d4,
+    0x1ea110dd, 0x85919370, 0x9826a540, 0x61178836, 0x083b1fb0, 0x8fb95111, 0x5277c9b5, 0x271841ff,
+    0x7e4514fc, 0x43f9a540, 0xe3cc45d0, 0x0db7e72a, 0x02f54780, 0x0cbcfe43, 0x4d397904, 0x942f3e56,
+    0x9dae393c, 0x032347c7, 0x1a2504dc, 0xa5d35175, 0x2f0664ef, 0x30455d57, 0x0e63daeb, 0xe8b86677,
+    0xbc7368dc, 0xa20189ae, 0x2a803a3a, 0xd4741dc5, 0xb9b494e7, 0x5e04d8af, 0x9539a15b, 0x239408cb,
+    0x7652ec78, 0xfa71cf48, 0xc9e89146, 0x6c7fbc5b, 0xfffa4ec9, 0x5d03a6e5, 0xc6ac5e9d, 0xa34f3178,
+    0x07b719da, 0xa709b651, 0xf1dcbe2a, 0x4fc1aca2, 0xf5c00701, 0xf8ce62c0, 0xc048b800, 0x55328bd3,
+    0x563ee1d3, 0xc44139b6, 0x9278868f, 0x98c6342d, 0xff36bad4, 0xc5fc8956, 0x5bf33840, 0x70e5e00e,
+    0xcd54dd7b, 0xaad6208a, 0x45c60863, 0xb29d4789, 0x13a4e028, 0x0d9c1862, 0x018d95c7, 0x87694892,
+    0x46bfdd71, 0xed30433d, 0x28a9adf1, 0x9e800418, 0xfaf953c1, 0x00b5de6b, 0xf5632b82, 0xbe70ae44,
+    0xfdd433fc, 0xb599f1cf, 0x8e964798, 0x3da939cf, 0x6be8a07b, 0xa00dbd3a, 0x2a60b2c1, 0x3e791305,
+    0x4a3b0ab9, 0x647d8dcd, 0xedcd6101, 0x30bb1dcd, 0xeee217ed, 0x469e2337, 0xdb4a18f9, 0x1fe5799e,
+    0xc0904592, 0x8c331ddb, 0x72c1922c, 0xeb01e7e9, 0x026c5e5a, 0xe9bc674e, 0x2c4a5b48, 0xe8033e70,
+    0x4b993f47, 0xedb952fa, 0x6029b7ca, 0x9321bc79, 0xd8171466, 0xdfac44ec, 0x93d96426, 0xe5951b31,
+    0x1b55c129, 0x43abe2ab, 0xbf27c8ca, 0x98c09398, 0xba986be0, 0x42368acf, 0x625069de, 0xcc10ac3b,
+    0x8e9905a5, 0xa156340d, 0xb86093e3, 0x37e60c4e, 0x56315716, 0x5c00e105, 0x2d26b6cd, 0xa617f1bb,
+    0x4baa9d6a, 0x6ce68d46, 0xcba251b8, 0x7552acc7, 0xa5b3e927, 0xe7517848, 0x133e72f4, 0x5309f548,
+    0x62de626c, 0x6d45dcb1, 0xe6ce1d13, 0x7300de30, 0xe5803124, 0xcc75a35c, 0x26ca1caf, 0xe61ff353,
+    0x0dc086a9, 0x83035f48, 0x8a7c7f57, 0x956120e8, 0xa65256b0, 0xa008ef23, 0xcad96935, 0x44bb581d,
+    0xa33d3353, 0xb65a1dda, 0x9621aa05, 0x92704765, 0x513c1284, 0x9bfad9c1, 0xfba5b109, 0x44c771d3,
+    0x6fbf1fc2, 0xb8cd240e, 0x3217d09d, 0x6fa75453, 0x74bc7825, 0x9decc388, 0x9928133a, 0x96fae6b6,
+    0xde288525, 0xfb3f8c32, 0x1c255c5f, 0xa27c0aa9, 0xe9e7330b, 0x778a2e2c, 0x5ab04691, 0xaee9a499,
+    0x25c59616, 0x5554f151, 0xbafa47bf, 0x0389bdaa, 0x4b43f126, 0x2296d2c6, 0x5e3c84d4, 0x3f242a16,
+    0x04553bd8, 0xc706a86b, 0xfe6dea0c, 0xf9336b7f, 0xe7cd364d, 0x4e6162d5, 0xbe8cc75f, 0xb02a3417,
+    0x2eb1848c, 0x6f071fb4, 0x6b46405c, 0x3b790d60, 0xff48bc90, 0xaa8f53aa, 0x51759da1, 0x5d3f81ff,
+    0xf788e9e8, 0x79c6500e, 0x7e1a6989, 0xf5f62362, 0x84f7effa, 0x6248ecde, 0xc872563d, 0x5ce74476,
+    0x28d11d27, 0x1d480d05, 0x58620280, 0xd8c2d249, 0xc9075534, 0x0cdd9250, 0xf55fe995, 0x8bfaf6ff,
+    0xd4198987, 0x72dec81e, 0x1dac3203, 0x25b6305e, 0xdb34f991, 0x47bcad21, 0x14394a59, 0xa3b29411,
+    0x318ed2c1, 0x3f89f0b4, 0x7429eda0, 0x515bf151, 0x215222b1, 0x632e4c98, 0x0d7dc934, 0xabc993de,
+    0x015d291e, 0x2aed3141, 0x0016e9f2, 0x6e4b0725, 0x6099f9e1, 0xc8c480fb, 0x5241b568, 0x7a59cae4,
+    0x9c1b2665, 0x8b462ed2, 0x06aa8bf6, 0x60e1de50, 0xcbfe2345, 0x3a9d65aa, 0xaa4419e0, 0xe7d80f84,
+    0xb1f624a0, 0x254c79c9, 0x422f4c03, 0xf581f4d3, 0x2ae3fa7d, 0xcb6617f8, 0x573b2b6c, 0x8704e265,
+    0x7b29d131, 0x09534a6a, 0xdc225838, 0x7e463072, 0xfb31ae11, 0xaa9e9d09, 0xebeafcf5, 0xb8198cf0,
+    0xd254e755, 0x03f46ea6, 0x744751f9, 0x98cf0834, 0x16e55187, 0x89f5fc0f, 0x4aedc1e8, 0x73ab2455,
+    0xb703d9b6, 0x2c34fcef, 0xeb0522a7, 0x3a72db30, 0x32e1a027, 0x4d6c8ea5, 0x1ad8ebc7, 0xb4ada1f3,
+    0x0ca6dfd7, 0x1ee4ca3d, 0x0c9700a0, 0x020185df, 0xe77e33e0, 0x6ba3bc27, 0x580228ab, 0x667b64ed,
+    0x7c566d02, 0x42b0f5d7, 0xa03f7fa5, 0xb3ec59dd, 0xe2e870ea, 0xfda8c9fd, 0x8cbac5d2, 0xf31dca14,
+    0xdc064dd4, 0x03697384, 0xa5474e40, 0x8a5e74fd, 0x723a7143, 0xfd4e37c2, 0x6b5dd4a3, 0xa1d1a417,
+    0xc98102bf, 0x9d73d7a9, 0x77b0be4c, 0xdff61bb1, 0x5b360a32, 0xba772609, 0x0c7f4aef, 0x16c3abc2,
+    0xd6d9fafa, 0xeaf6aa05, 0xe6528f3c, 0x78083aa9, 0xe9ea3475, 0x9f3e23fe, 0xcbc8ba62, 0xaac05eee,
+    0x286cbb69, 0x9469b1e2, 0x790067be, 0x4a22ddf0, 0xd5b482ca, 0x85c87a54, 0xe062cba1, 0x568a8b64,
+    0xc2d5a536, 0x44b28d25, 0xd60089a9, 0x1ea35b49, 0xeb67fb62, 0x1b1c9754, 0xc2ef22fb, 0x25a81f5d,
+    0xfe6f3b4c, 0xee883b1b, 0xb9542a71, 0x9dca89d4, 0x84c3d89f, 0xb8610aa3, 0x33ed3776, 0xb531cab0,
+    0xdc83251b, 0xf020da48, 0xdf45ce82, 0x6c57ca04, 0x5c736e26, 0xac38eb04, 0xe47f6362, 0x3d2fde27,
+    0x3f69a942, 0x1726ac9f, 0xf8c79aea, 0x815b9ed9, 0xcb65c5d4, 0xfe2266c4, 0x03501490, 0xdeeee393,
+    0x22a4cb00, 0x71573394, 0x7f6728a8, 0x65a1bdef, 0x6d53959d, 0x9c927b18, 0x208b9960, 0x4d9764f1,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000170878962873672806591\
+                          60173649356416916821636178853222159576332862577757806245124400183696695492608 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b,
+    0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f7, 0xd187a62f, 0x99af0216, 0x22ae0c5b,
+    0x00000000,
+    0x8ab83fb1, 0x50e17ae1, 0xbdc2bc98, 0x4dec94ee, 0x42b43d5f, 0x8ef733e5, 0xe5efd67d, 0x53922c17,
+    0x3525500d, 0x7eab9908, 0x0bb22d36, 0xe4ed2a0a, 0xd32ed3e3, 0xc29523fe, 0x1a2ec3b2, 0xce9fe274,
+    0x71808551, 0xb35f72f6, 0xd3e2e9cb, 0xa1dc9ae9, 0x4db154d8, 0x6a7bddfd, 0x4aabb797, 0x2178f7fc,
+    0x66ce1d32, 0x304874d9, 0x13dcfd03, 0x34f6838e, 0xd1412819, 0x01ebde55, 0x4daa5e29, 0x88036cd8,
+    0x8ec44ccb, 0xd56b92d3, 0xe71449f0, 0x57f8d355, 0xe4562a6f, 0x8aa131e5, 0x2e557e53, 0xa6cceacf,
+    0x536d37b9, 0x766f0147, 0xf69400bc, 0x612f414f, 0xf39731d1, 0x6b5fe81a, 0x26451cec, 0x2d104cf8,
+    0x711e6b31, 0x0cdbae4b, 0x50465383, 0xe074084d, 0x80e61ec2, 0x62604734, 0xe41a51b1, 0x40bcd069,
+    0xe56e30e8, 0x3641fdcb, 0x2251b538, 0x250b4248, 0xe23d000b, 0x8cc1e784, 0x454874df, 0x326aee99,
+    0x25aa3cbf, 0x023c04ed, 0xfea64795, 0x6a680fc3, 0x6ad706d0, 0x7300a545, 0x13451d92, 0xe5cb5f42,
+    0xa18faa78, 0x2de164b4, 0x2ab0e313, 0xc4c84863, 0x14b50c20, 0x9b4b4f4f, 0x889e3644, 0x1d2a608a,
+    0x5c52ae7d, 0xc86d3c5a, 0x0b1e2cb1, 0x1b1bbd1e, 0xded956f3, 0xfb5cb2db, 0x50088df3, 0x81eae510,
+    0x3cea010e, 0x20dbd403, 0x20309b59, 0x6ddefaa3, 0x014ac7dc, 0xecd25e07, 0x311f32af, 0x7d90fcf9,
+    0x6346b5a5, 0x2127361a, 0x9364a980, 0x9e854e8f, 0x478d10ee, 0xb6b07e54, 0x0f615fdc, 0x1f60c6ea,
+    0xa754a712, 0xb02c9823, 0x068d7996, 0x24de0f69, 0x36ba4a66, 0x446f9c19, 0x954c1231, 0x847b4341,
+    0x5b523ba1, 0xa31cca60, 0xd93f208d, 0xcfa63659, 0xe9230090, 0x004acd20, 0xdaad54dc, 0xff526429,
+    0x9a2ea2e4, 0x5b8a888d, 0xadc1e9e8, 0x4f7d63eb, 0xa4831d9e, 0x4804008d, 0xc2775f49, 0x8f0c3425,
+    0xbbc9ed8a, 0x73d589aa, 0x058b4967, 0xafae2a9b, 0x884d3626, 0x27a4162a, 0x41d20f10, 0x103e11e8,
+    0xc45b1852, 0x5d551e44, 0x3075514e, 0xcf06f363, 0xec489ab0, 0x035f1a72, 0x77ef90c0, 0x561be44b,
+    0x47783a27, 0xe96966ff, 0xf4b071e1, 0x7eb07524, 0x4002ad3d, 0xd13ac9e6, 0x3e9296c7, 0xab276810,
+    0x5ca1f316, 0x00045187, 0x733b7b7f, 0xc6481a7f, 0xf54ca008, 0x0e3ead6e, 0xef1e2461, 0xfe2413a4,
+    0xb2f23db3, 0xb47bc332, 0xd51b0ea8, 0x03eb75f9, 0xff16ec8e, 0x7fdf9656, 0x5993ea53, 0x8ea492ba,
+    0xcb79115e, 0xa540d28e, 0x3ea9229c, 0xb3bc9774, 0x06c8df56, 0x744231f3, 0xd22b7af5, 0x55626a4d,
+    0xcb547550, 0xcfd836b5, 0x147d1a0e, 0x738f72cd, 0x6fc3aa4a, 0xcbe2cb92, 0xdf9ce953, 0x5197c5cd,
+    0xb9232a08, 0x2b8b9294, 0x8388a027, 0xf1928995, 0xf417a0e9, 0x9c740d74, 0x74352e10, 0xf1ed57f3,
+    0x8467134d, 0x910bb77c, 0xc0710c19, 0x00ebc35f, 0xf7891c93, 0x5517beb2, 0x7ec3c94b, 0x25bb237e,
+    0xfa8de817, 0x303509c9, 0x7579f7d5, 0xbacd3f4f, 0x84ac3c9c, 0xb8283dd3, 0xc916be58, 0xdcae112b,
+    0x074c7b34, 0xa9e3b89b, 0xb4068deb, 0x8fd3b6ae, 0xd4180b7c, 0xafb486c4, 0x767d4396, 0x73487167,
+    0x9c999aba, 0xffa1650f, 0x228f92c1, 0xa2e67457, 0x193e6c58, 0x1fc11afc, 0x2158bd0a, 0xff202eb0,
+    0x6e9f1ebe, 0x582e7d7d, 0x0b707d63, 0x3ddc2c47, 0x59adeca8, 0x0c3ad4a1, 0xa15ffad9, 0x18e52fbe,
+    0x28a5f862, 0x1d3834fa, 0xe096460e, 0xe570e205, 0xb220cdca, 0x327540f2, 0x2114b89c, 0x96a16104,
+    0x8c86c4e5, 0xd1df7ef0, 0x5a8ef88e, 0x74a246f5, 0x07094de3, 0xd6b7a079, 0xb14e0497, 0x2d9e0785,
+    0xe22ee2a1, 0xd228b4e9, 0x403b2534, 0x3d0e16a5, 0xf65e2495, 0xd556a149, 0xa541c8b6, 0xe6c1970a,
+    0xe87ff20c, 0xf22c2334, 0x4ed2333d, 0x68865d0d, 0x43b9637b, 0xa9e56bbf, 0xbe3cb75d, 0xc50e0da3,
+    0x84a38c3e, 0x8928c41a, 0x415e83c5, 0x77e88ec0, 0x10c91416, 0xbd25c75d, 0x9968c17d, 0x91fe02b3,
+    0xcdd99c55, 0x7aabafe8, 0xa0bf48ff, 0x6ba92f86, 0x6abb647f, 0x57c85a44, 0x4a46cc97, 0x33422df9,
+    0xa43aea06, 0x2ecdfea1, 0xddd30911, 0x271cbd37, 0xc95218e3, 0x17388a5e, 0x7dab2a10, 0x97baaed3,
+    0x46914539, 0x4393155d, 0xca54bcee, 0x45241fd5, 0xff5da162, 0x8319fbf7, 0x421f156f, 0x190b723b,
+    0x7d2ae557, 0xd7c4bfd0, 0xd1058ef3, 0x52ccd552, 0x6d6fe06d, 0xfe3a51c0, 0x3c844bf6, 0x0f70b433,
+    0xa38d755e, 0x0fc0d3f8, 0x87375bac, 0xcde7b9a5, 0x1b4b2e5a, 0x3fffd6e1, 0x0c5de54b, 0x29c35547,
+    0x63cbc811, 0x57fe55bc, 0xcc257873, 0x17a472d6, 0x6efcfaa5, 0xab5d4e42, 0xb75a8631, 0x6dd57fb6,
+    0xcfa73cf7, 0x3044c9ea, 0x9f905a4a, 0xc48e2664, 0x06a4fe29, 0xca49c7e0, 0x28497b03, 0x2507bf82,
+    0x4f688f14, 0x30cbb53e, 0x78f1c864, 0x3cf6ce2d, 0x713fd326, 0x05b97dd7, 0x6811534d, 0xb8b6e8f9,
+    0x1052bddd, 0x0ea00584, 0xc482d09e, 0xe7cac8cd, 0xdb8100d4, 0x455ae3d4, 0xd3dc1ffb, 0xaef157f0,
+    0xc628947c, 0x49cae1d4, 0x67fd149e, 0x76e0e316, 0xe759b704, 0x08e7059c, 0xb0e3a497, 0x5a9cac5c,
+    0x63733098, 0x84939b8c, 0xdd95f87d, 0x32ce2563, 0xb724d6c3, 0xfd31f960, 0xfa7d217e, 0xd264b6fe,
+    0x2b99b1c0, 0x7b2abe99, 0x46ebd679, 0x7ec4a1e5, 0x3845b279, 0xf4c07025, 0x62655b51, 0x8a7b0851,
+    0xd3037be1, 0x581cfc1f, 0xebc76bdb, 0xd812325b, 0x531cd6ec, 0x8099203b, 0x168f331a, 0x278545bb,
+    0xc600fcd8, 0x1028a50a, 0xa92cace8, 0x3260da53, 0xbc991d07, 0x0304a7a7, 0x47976d6b, 0xf46ee239,
+    0x80b38527, 0x08617f15, 0xcd2490fe, 0x8e9a1bff, 0x88ebb52c, 0x4053fd22, 0xdfaae817, 0xf89e2f0b,
+    0x5190aede, 0x9a67956c, 0xe5842dd2, 0x5a3a83a5, 0xaab99b80, 0x5636a8b0, 0xf420ad6e, 0x6ffb2fb7,
+    0xc92dcc42, 0xdbf008c3, 0x4bc418cc, 0x05ec0d83, 0x0a860f0e, 0x4073df9d, 0x06399fcf, 0xcf3d6df1,
+    0xb885351d, 0xf9b0c8cf, 0xb7311363, 0x0b30c5ab, 0xbc58262c, 0x6a83ee9b, 0xc133374a, 0x82b38ba7,
+    0x1ec73a09, 0x38dec20e, 0x7ecbc9ac, 0x4466a5f3, 0x07017283, 0x13d34a27, 0x38c18bb1, 0x142326c6,
+    0xfd513331, 0x2b8a820d, 0xf999b6d3, 0x72c06a3c, 0x691ba921, 0x6ed6dfb8, 0xecfa7a7a, 0x9d9d3135,
+    0x35fb1511, 0x24169713, 0xfb698d44, 0x5b735f8c, 0xd3a2ba0e, 0xb64ddb9b, 0xa88d9968, 0x3c0a4996,
+    0x07194600, 0xed7be992, 0xe6c802f4, 0xb58823bb, 0x3f30ab5c, 0x58457a76, 0x65178651, 0x053d29ba,
+    0x589e39e7, 0x86e5ecaa, 0xe632f2c9, 0x297f8d8f, 0xd2b16aba, 0x2eef1030, 0xefe78aab, 0xf8b8dd41,
+    0x9c7c27b7, 0x5e0ac659, 0x69425c10, 0x79d44d7b, 0xd6419fc8, 0xb2bbc7a9, 0x082be9f0, 0x680d3b3b,
+    0xd157410b, 0xbf0dfae1, 0xc5d93409, 0x5e49ab84, 0x2e7a8412, 0x160abc58, 0xb4a36f67, 0x4a7aecc7,
+    0x4bdfd802, 0xcfb7f028, 0xf676f0ac, 0xec2e902f, 0x97e4bf92, 0x0f2b506b, 0xb1799146, 0x0f9555d2,
+    0x0640521c, 0x6f55227f, 0x705c3b34, 0x1acbcae3, 0xf581e99a, 0x02795850, 0xc8b8751b, 0x9795e195,
+    0xb8573da7, 0x7cd35b3f, 0x41b0f0e8, 0xb2aafcc7, 0x05be5e24, 0x59bd4fd2, 0x58885d7d, 0x1ddf0ea1,
+    0xa3bb7a04, 0x4b905504, 0x89e645dd, 0x524588ea, 0xfb49aa0d, 0xc2a4bd3f, 0x885b0360, 0xf720c8a9,
+    0x28414896, 0xeeeee9ca, 0x3ece2943, 0x3c36a79f, 0x09ad8d40, 0x5214adcf, 0x03b5b0ff, 0xfc89fb1e,
+    0x9b7715ba, 0x5c9483d1, 0x8763f361, 0x96b01c68, 0x84ed6d52, 0x1433a746, 0x6160e0ec, 0x53646402,
+    0xb5680cf8, 0xace508d5, 0x0b2ed0ea, 0x0fb00345, 0xdffc777b, 0x05266002, 0xae29d287, 0x5c9715fd,
+    0x071f90fa, 0xa8dc761d, 0xd9e409a5, 0xda7f8a5a, 0x5621995a, 0x6bb07f93, 0xe24c2c07, 0xa76a6871,
+    0x9d029254, 0x28c2993c, 0xa3ee3e18, 0xca3b1073, 0xd11c0ccd, 0xd0184290, 0x4c064271, 0xb0b6ed36,
+    0xafc682fe, 0x1cc3b366, 0x1081a18f, 0x405d85a6, 0xb532476a, 0xc63a392e, 0x7232e3d5, 0x6a255e46,
+    0xd3eba62a, 0x8c53ad2f, 0x811a5064, 0xcc5bcb03, 0xf326e503, 0xac3bfb84, 0x286a5263, 0x466c197c,
+    0xd7ff86b2, 0x593e5c65, 0x430f8fc7, 0x5633391e, 0x9b9bc406, 0x0757e898, 0xe040602a, 0x0aa6064d,
+    0x0427272b, 0x5a86917b, 0xf3032108, 0xec188797, 0xc2eb7458, 0x4285d02f, 0x88b5d7c0, 0xfccf90aa,
+    0x291219f0, 0x9fc45301, 0xe74aef21, 0xad17512a, 0x0f85c806, 0xbe0421e7, 0x8deeea83, 0x0b8d7d42,
+    0x33be8603, 0xd15617e8, 0xeaaffb4c, 0xb5f022d4, 0x8cc993f1, 0x722d89f9, 0xb1b45493, 0x46ac2478,
+    0x86a79949, 0xdebc9ca2, 0x51927464, 0x20103fd5, 0xaefa3042, 0xb6b708a8, 0xd3e78fdf, 0x9833e995,
+    0x119742ad, 0x4d1d373a, 0x03a1d955, 0x21c26f19, 0xdcdc2c95, 0x1a389265, 0xbf1c44ad, 0xb39dfbd9,
+    0xfa0c0b36, 0x5200a758, 0xd2d7c2f7, 0x29242e24, 0x96962a07, 0x3bc3b333, 0xdcbeb715, 0x537ec59c,
+    0xed915b86, 0xdcfb4a91, 0x2d7d435e, 0x9f239992, 0xfd34b102, 0xf25a8b33, 0xb9349fe7, 0x49eacd6e,
+    0x272d6515, 0x17eae155, 0xf7963a63, 0xe4caf117, 0x215c1f43, 0xc5899405, 0x22a0539a, 0x25944136,
+    0x8586b2f6, 0xd20f72bb, 0xacba080b, 0xce1dd884, 0x2cd25670, 0xfae036a7, 0x60743a47, 0xe4a50447,
+    0x0c77348d, 0x0e03cf3f, 0x08e5d84d, 0x2af05a4d, 0x840a07ff, 0x3af1d1ba, 0xc3db620b, 0x2c61f7ac,
+    0x84424c6d, 0x7ba64c7d, 0xb6287297, 0x66e6554e, 0x0bfd7bb8, 0x7b5d54a6, 0xa29d27ab, 0xd0bb5485,
+    0x854e9048, 0xd75ba7c4, 0xd2c0e113, 0xbfe0a71a, 0x1df2c058, 0x4760a82d, 0x21814527, 0x08616721,
+    0x8931cfa6, 0xad46b7c2, 0x68d8b1bb, 0x2794bdc9, 0x7ff69ed4, 0x31433c3c, 0xc6f8d948, 0x8fa0d19c,
+    0x3ec94b1b, 0xc701c49a, 0x58ee3e77, 0x40e47026, 0x091add13, 0xd96b8818, 0xbf25d462, 0x2823bf2c,
+    0x429ac488, 0x25b90d07, 0xb8eb187d, 0xfabc8c62, 0xed076073, 0x7d0a625e, 0x2c0eb600, 0x80016f17,
+    0x458f3e7d, 0x0aa47d9e, 0x398ac21d, 0x553659ff, 0x8c26f275, 0x9346a58d, 0xb9174224, 0x60213ca9,
+    0x60328b9d, 0xb41cd164, 0xa2112eef, 0x1b9978d9, 0x4d80641a, 0xc532f8ec, 0x2feb6cac, 0xc3b5933c,
+    0xcdb4ac81, 0xc7bc41e0, 0xb88d772b, 0x44099eee, 0x31ce90c0, 0x8b30058a, 0x20dea466, 0x2091044d,
+    0x4d72c214, 0x46231a97, 0xc3365d6f, 0xba453c70, 0x9a88c163, 0xb894bb85, 0x40137480, 0x9e706d2b,
+    0x39bd24dc, 0xada4d68b, 0x61195cc6, 0xa9a27492, 0x7a3a47c2, 0x36d72913, 0x00bc808c, 0x43247610,
+    0x6db4fe90, 0xdbbcc473, 0xff0e383e, 0x277040b4, 0xc3a38143, 0xc2d64177, 0xd95a6a54, 0xf247098c,
+    0x5fe8708e, 0x402a0582, 0xe979b851, 0xb6420198, 0x278c96cb, 0x87044e55, 0x3ec71650, 0xd64446c3,
+    0x0a298495, 0xdb62ac5b, 0xa6d7b19b, 0xabb7a446, 0xab2ef1d2, 0x9aba5e49, 0x4e171828, 0xaf40b1f8,
+    0xde7f0115, 0x777a41c3, 0x70ef2505, 0x020f2a7c, 0x94e56f9f, 0x074a9c76, 0xacec2f47, 0x93a03b1c,
+    0xde6e66dd, 0x05546c11, 0x0f75c018, 0x791c5d75, 0x9e3274f6, 0x28d2549a, 0x7f7ebcb8, 0xd1557f98,
+    0x84a7dbb1, 0xdfc4cff9, 0x2c0c11f8, 0x161b3bbd, 0xb531fb24, 0xa70e1096, 0xfcb60f30, 0xdbd528b2,
+    0x912af155, 0xdc443768, 0xd1a7e34b, 0x52f1fbf0, 0x5dd93aeb, 0x51fb2648, 0x5a45aef2, 0x036727c5,
+    0x77c2fd2e, 0xfd26a96d, 0x42d021b9, 0xf2469d45, 0xb8a762d0, 0x5f4ea3dc, 0xc31a7882, 0x94f438b7,
+    0x3382444f, 0x41113a39, 0x21a39779, 0xcadf2aa5, 0xe0cef5ab, 0xf240ff1d, 0x5165375f, 0x4b4c5dea,
+    0x383ee57f, 0xee605476, 0x6782c057, 0x74175489, 0xd1d507b2, 0xb5de9c45, 0x82fadb18, 0x909b79b6,
+    0x3a33dad4, 0xc86723e5, 0x5356e0a7, 0xc859850a, 0xe3d8d690, 0x00640dc2, 0x7fa6793a, 0xb6c4f48b,
+    0x4b2fc29d, 0xcbce5f4d, 0xa98f9e2e, 0xff8da6ae, 0x7b606f6d, 0x0186e444, 0x94eed3bf, 0x888bfe71,
+    0xfb074cf2, 0xe30bc07a, 0xef6a06bc, 0x37d29fdf, 0x5b389c98, 0xc2734997, 0xfaf9e4ea, 0xcadebafc,
+    0x7512d7d6, 0xb9c42b1f, 0x68cb49ef, 0x402e6cb1, 0xfecc85d7, 0x90a2527a, 0x3d245c77, 0xd967c607,
+    0x5e172c23, 0x6f37ed2e, 0xf05c813a, 0x8cad02a5, 0x05b89f06, 0x0fc644b3, 0x401bdee9, 0xd0841458,
+    0x0af97248, 0x430a248a, 0x4df6440c, 0x7c64c0e9, 0x09d6c462, 0x13cb54df, 0x5c7fabfc, 0x78d01398,
+    0x1a0f8501, 0xfde6c8ac, 0x11c77dc1, 0x08725582, 0x83760725, 0x35e03071, 0x311dcd84, 0xf8739f4d,
+    0xe35858ce, 0x78b7a2d2, 0x2445ffa4, 0xac326f44, 0x256f5ebc, 0xd076733e, 0x1c23ff0b, 0x391fea6f,
+    0x6b46b7aa, 0xbbdb565b, 0x6dac6c47, 0xe4d1377d, 0xa233aee5, 0xb868b956, 0xd5e2cf3e, 0x15a00ff8,
+    0xab9ab086, 0x9878ec61, 0x3074cbfd, 0xb0b9e514, 0x033d5991, 0x7ee1fff6, 0x3ee7cf39, 0xa7ce9a0c,
+    0x1935a507, 0xc34756d8, 0xf9bc46d2, 0x589016d5, 0x50165557, 0x43a08b28, 0x986967eb, 0xcd00a5ee,
+    0x4b6c1c4f, 0x4306416f, 0x8852c0ce, 0x0ae0f403, 0x029911f8, 0x866f06d5, 0x3c019cc7, 0x154c4f9c,
+    0x46a4ed95, 0xf321c267, 0x4adbe81a, 0xdee8bd6d, 0x0e7f1389, 0x9a34a74e, 0xc8ede5fa, 0xc457d9ed,
+    0x29e24a50, 0x9ea36f09, 0xc2f29a8f, 0xa3b917c7, 0x35405bc6, 0xb63e1d44, 0xfa80804d, 0xf1e69da3,
+    0x08c6f9f6, 0x196990a5, 0xb6878f85, 0xa7cb3665, 0x742babc8, 0x23f243b8, 0xcfcf6c13, 0xca05cf53,
+    0xa10e182b, 0x94f2a77e, 0x914c1190, 0x2425a613, 0x587b5221, 0x48239c57, 0x1e72e0e1, 0xb1a6f152,
+    0xec22d45d, 0x9d658c57, 0x92bb3029, 0x1acf7fb1, 0x07edfa86, 0x2a92453a, 0x36add3e8, 0x1c393244,
+    0xec91ee5b, 0x340787d8, 0xe59bdbc4, 0x58fe61ed, 0xba059cd6, 0x565758d0, 0x2df0fe2c, 0x8d33fb76,
+    0x17f2d024, 0xace67990, 0x66941849, 0x326727a4, 0xce4a4933, 0x1861499b, 0x6c38182d, 0x3401ddb8,
+    0x5c4e0e95, 0x31baa8f4, 0x677a7dc5, 0x9520ff54, 0x5990af39, 0x286bdc52, 0xc75ed727, 0x231bceb3,
+    0x30c05906, 0x23a82e72, 0xc280276e, 0xe7fbd5f4, 0xa63d7c26, 0x70c21bc0, 0x5aefc0ae, 0x78800c5e,
+    0xeafd5790, 0x5bb220d8, 0x5ba4fb6c, 0xdff734f6, 0xc929cccb, 0x18c4cd4f, 0x3be1c81d, 0x561c67ad,
+    0x404884bd, 0xa5d1d18d, 0xf5255c36, 0x277556b7, 0xe7bef590, 0x3f8b8bc5, 0x7fbf9158, 0xacfaca71,
+    0x5eb7f704, 0x762c2dc4, 0xe4105886, 0x215e4e12, 0x2a912fd9, 0x4bf40851, 0xc1c4a123, 0x5cd9aa0e,
+    0x55925805, 0x2fa049de, 0x97662e6e, 0x883eeb6d, 0xd4677521, 0xa6293e7e, 0x319cf54a, 0x353eb8bd,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000085439481436836403295\
+                          80086824678208458410818089426611079788166431288878903122562200091848347746304 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d,
+    0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfb, 0xe8c3d317, 0xccd7810b, 0x1157062d,
+    0x00000000,
+    0x85408a2d, 0x801a9052, 0x8ef9cd22, 0x76fdc802, 0x85606acb, 0xc5ec7549, 0x659421bc, 0x13c7c538,
+    0xf96ea5c0, 0x610034af, 0x79cfe5b7, 0xdbeb5ae0, 0x9f42040b, 0x8dce3608, 0xbe4bad87, 0x521c7a31,
+    0x391e9765, 0x9c8a6e0b, 0xadd6e1c9, 0xda2910a5, 0xa6dafaf3, 0x55d36c4c, 0x0ca754fa, 0x938bf48a,
+    0x33090224, 0xc51bc4ac, 0xf3e0cc09, 0x81140733, 0xbc8f853c, 0x883c0013, 0x17954fb0, 0x14745f7b,
+    0x8cc9b497, 0x34edc2e7, 0x4f8dd21d, 0x08dea0c2, 0xeba1ce00, 0xaeb81711, 0x04550780, 0xb45cfb89,
+    0xf034087c, 0x24cbc34d, 0x90a489dc, 0x4fb99850, 0xb5c641b3, 0xa17fd68f, 0xdc49580e, 0x186e7ce4,
+    0xf16659f9, 0x18c8ded3, 0x8aed2b1f, 0xb765c024, 0x6ec924cc, 0xdb2a2f63, 0x1a44f07e, 0xea8f8c19,
+    0x07f9f564, 0x8d2ed464, 0x9c974d64, 0x51bdd65d, 0x374e3b63, 0xca62dc00, 0xbc7d306a, 0xcab5a188,
+    0x760db166, 0x9f582649, 0x2bba81b9, 0x9c2c0e09, 0x9945554c, 0x29da81af, 0xe39a336a, 0xa5917d54,
+    0xc65b13b3, 0x34eba370, 0xf735464d, 0xd7ea6144, 0xebf590c2, 0x6f1b1e22, 0x2e7333c2, 0xeb4921a1,
+    0xb8197db9, 0xf36bcc8f, 0x023d862f, 0xdc5da516, 0xb0fc773c, 0x309838c2, 0xba48d15f, 0xcaae7826,
+    0xc3d2116d, 0xe9af428a, 0x4328da45, 0x5fe1d05b, 0xde550840, 0x631c2450, 0xcc64d865, 0x378c4c71,
+    0x50bba24b, 0xe7b61d55, 0x75681542, 0x19b401c6, 0xd452420a, 0xf567088e, 0x3e4c44ac, 0x241b94b2,
+    0x3938d9a3, 0x057c0e15, 0xfcd743a3, 0xd3adb02b, 0xd02b3cdd, 0xb31c9628, 0x49d58d71, 0xb108412c,
+    0x464e9d2d, 0xf5789d46, 0x7e709698, 0x0899e30b, 0xae949fb9, 0x9f55c2a5, 0x2fb0e70b, 0x680db2aa,
+    0x4368d8d2, 0x7d663016, 0x1c212cda, 0xa1ace076, 0xc409c314, 0xbd43a5e3, 0xddaed9bc, 0xb9b31e8e,
+    0xc5cfc60f, 0xc2b4acda, 0x28cac50e, 0xc713871b, 0x9e650f06, 0x57e6a9a2, 0xdb82bcbb, 0xe1e76c4a,
+    0xcf798878, 0x21bc5dde, 0xf88bc25d, 0xa8cdd9cf, 0x5049d2b3, 0xa95a4060, 0x58ae3021, 0x855e5e4f,
+    0x749d3438, 0xc7e5f387, 0x5838b2ae, 0x1561df12, 0x6cdba335, 0xebb80594, 0x8f8be959, 0xf6310671,
+    0xd1bd5979, 0xca4de10b, 0x3dc90a11, 0x4eaddd27, 0xf5c0c811, 0x4fd97f37, 0xc5800d66, 0x7e62a48a,
+    0x50578a54, 0x283a660d, 0x3054d20f, 0xeaaed60c, 0x2eded2a1, 0xd06b1bff, 0x38390eb4, 0x03ab311c,
+    0xfdb3cb6c, 0xd584473b, 0x3caee099, 0x761d3b77, 0xa28b8586, 0xfb69d8b4, 0xac03678e, 0x0681fc59,
+    0x9e31c89f, 0xd1272c6f, 0x22f48fed, 0x44d290ed, 0x4a120a2c, 0xde6dfd96, 0xd14069b7, 0xe86931bd,
+    0x14e87b04, 0xb6961ab6, 0x047242e5, 0xeca34386, 0x5bd3334d, 0xcadd07fb, 0xb495473f, 0xb40dde47,
+    0xe82e8afc, 0xa1bd5aa4, 0x0b4e3f04, 0xc4c187b9, 0x65aaaadc, 0xfdbd179a, 0xffb2dfbe, 0x9391e27d,
+    0xf0726ed5, 0xc466af35, 0xd9aabef4, 0x8c8f8b56, 0x92533b5c, 0xe97330cb, 0x4bae44a3, 0xc514d93b,
+    0x10cfe34a, 0xeb83b7ce, 0xfb3a65cb, 0x65a238a8, 0xe5548468, 0x857bfa28, 0xfbaa865f, 0xa3cfb457,
+    0x27bb7130, 0x449e3883, 0xeaa67e29, 0xf79956e4, 0xcc9f6d2c, 0x16a04898, 0x5eeb4bfe, 0x38ad5bf0,
+    0x47db45b5, 0x1f228e97, 0xd8a648c6, 0xf0818205, 0x91651a95, 0x9b08ecf4, 0x4b1b0e87, 0x35f8e43f,
+    0x0595979f, 0x709e919e, 0x113f53ec, 0x179b764e, 0x57c05f61, 0x4846c9e5, 0x037ade36, 0x4029f46c,
+    0xba349670, 0x801c19de, 0x5a128bf5, 0xb7689d90, 0xd96addc1, 0x256ce5e5, 0xc8a784a6, 0x99bf9ff2,
+    0xa3350ec1, 0x01417a3c, 0x74ea0edf, 0x3ad21d39, 0x5cd6cdd9, 0xaee7cd11, 0xd3458d36, 0xc807c717,
+    0xde7d8884, 0x49148d27, 0x088f5bb5, 0xce3ebb18, 0x6ef627a7, 0x0f16c95d, 0x02800d85, 0x85664a2c,
+    0xc6464020, 0x722cc710, 0x80c679fa, 0xf584b617, 0x7c65e8fb, 0xa8a1b684, 0xfa4d7b67, 0xb3794c77,
+    0x61f94037, 0x3ef2d42c, 0x8c385fa7, 0x3b1c6ed3, 0xbd897428, 0xd9aaa7fb, 0xa5b8c451, 0x49b09193,
+    0xd306cfba, 0x24da12c0, 0xf77a5d1a, 0x97df3b37, 0x342bd028, 0xb6776cc2, 0x30875ea8, 0x913b02e4,
+    0xfc03a0e3, 0xce6b221d, 0x25baa145, 0xbe08f9e5, 0x73e47848, 0xbada32cd, 0x3d989bc1, 0x3c11573b,
+    0x79523717, 0x8e31f2ab, 0xb6229930, 0x56aa3420, 0x1c228091, 0x73794a91, 0xb36cd3c2, 0x6f73c9eb,
+    0xe47d9248, 0xe31c30a8, 0x80cea8c4, 0x42f897fc, 0x84ebdba0, 0x6d70d78a, 0xf84bca82, 0x47d6db1f,
+    0x3c867137, 0xbe9453b4, 0xeb514783, 0x9d69cd25, 0x8398b011, 0xc7bd4d1d, 0x3f50160a, 0x56ce60e3,
+    0x5aabaeba, 0xc523c5d2, 0x186d11d3, 0x48e07b34, 0xc424b791, 0x8754ef07, 0xc8785ea2, 0xb709b933,
+    0x5d71bc0f, 0x89ef93a5, 0x091fdef1, 0x306fc393, 0x61341228, 0xa5e58517, 0xd6ce9f47, 0x9426cc45,
+    0xb596ba42, 0x2b0f9da9, 0x260f40b6, 0xfd50822b, 0x99bb3963, 0xb7030d47, 0x63381f1c, 0x969820bf,
+    0xfc4865e7, 0x665c9876, 0x9f3ad401, 0xdb52ba1a, 0x3713702b, 0x6ba0ada9, 0xdb077393, 0x0c8c3178,
+    0x77e0b3ff, 0x764bd614, 0xd7cae67b, 0x59b6f100, 0xee55bc5c, 0x5cba124b, 0x2c7e17e6, 0xb6f4d3c1,
+    0xc983c6b5, 0x7e9169a1, 0x7b25ed2e, 0xec78916d, 0x4d52ad8f, 0x73b8a8de, 0x6e4beba1, 0xcd0cb607,
+    0xf6168c9f, 0xa955b9ad, 0x8e2d9def, 0xef70c9cd, 0x8f2930df, 0xc6f024a7, 0x3602e297, 0x0dbb165a,
+    0xd3cde0b3, 0x08ae974b, 0x5a757e5f, 0x2aed7967, 0x818e6752, 0xe6287000, 0x27868bba, 0xecf5f57a,
+    0x66b6bb14, 0x86c87e9d, 0x51040598, 0x655b49ef, 0x8daad9d5, 0xb062ed33, 0xe5ecfa84, 0x94245836,
+    0x03d486a9, 0xfcb2c636, 0x26271e05, 0x60c91f54, 0xc7b6974c, 0x53593dd9, 0x18751d8f, 0x80353b8c,
+    0x15114f08, 0xbf73bd4a, 0xb66ab356, 0xf3ad8900, 0x5fa06ad2, 0x0c058643, 0x165073a4, 0x713fdf69,
+    0xe2045803, 0x49c7eb69, 0x73674344, 0x4f298002, 0x5f6923f0, 0x8d88c7ec, 0x425bf2c8, 0x456b20d2,
+    0xa4950dc3, 0xf15b8ad7, 0xa87d4f51, 0x229f7931, 0x046f234b, 0xfa3f1bd3, 0x818b6c81, 0xbd7c1300,
+    0xf9d5578d, 0xe4f0c39d, 0x6db4f690, 0x8717b2ed, 0xa0b45d88, 0x4752bc9c, 0xd6213357, 0x6bc5e49d,
+    0x40c7f45e, 0x8f86a2a5, 0x3cc70a5e, 0x98a7856e, 0x0750b6be, 0x5c37b5dc, 0x57d74895, 0xca92193a,
+    0x7637e86b, 0x56db68a5, 0xafbdb6d1, 0xec6865af, 0x34cb0494, 0x21995faa, 0x615c92e4, 0xed7ade5b,
+    0xfee827d7, 0x5fa2c5c6, 0x013765e9, 0xabdc3851, 0x11bcbba4, 0xe749656a, 0x8df75cdc, 0x0a3157d1,
+    0x51bffb7e, 0x72af8b5e, 0x26bda2ca, 0x434b4af1, 0x0d4346e0, 0x2f21f0d0, 0x3f963c24, 0x60962e25,
+    0xebe02bd9, 0x5ea8067f, 0xe433d31d, 0x45753aa5, 0xa76dc7b0, 0x4b25e950, 0xf2e48b0f, 0x88af8ac4,
+    0x2c8ef88c, 0xde86175a, 0x5cfc021f, 0xb3c0e279, 0x5a907b6a, 0x9f39a637, 0x3737e36a, 0xa23325ea,
+    0x3ea094e0, 0x251029aa, 0x517b9174, 0x4c131ee8, 0xfcc94f55, 0x494dc574, 0xc0299d2d, 0x1ec63baf,
+    0x7b55daf3, 0x2f7f6da7, 0x363ddb9a, 0x58762eea, 0x96e55340, 0x253d1872, 0xf86ca4f8, 0xeeef691e,
+    0x4f6c64d9, 0x7694013a, 0x301bbc40, 0xd12d8a72, 0x6c4c65c2, 0x7cf7781e, 0xac6b79b2, 0x569ffb54,
+    0x43eec16f, 0xfe12974c, 0xd4e5766b, 0x03897ceb, 0xca238d9e, 0xf3ef1aea, 0x698ae0a6, 0x413c1161,
+    0x6bea1800, 0x64b96e4e, 0xa505b381, 0x9f516b80, 0x6875be71, 0x238d34c7, 0x9193bf55, 0x660acf54,
+    0xb01995f4, 0x0edd14c5, 0x8a31878b, 0x1f372d94, 0x65ef8ccb, 0xfb3410fd, 0xce2f33ef, 0x55859f42,
+    0x147515cd, 0x6eeb1f19, 0x136ce087, 0x518f13ea, 0xfe222d02, 0x95f38700, 0x61ff87c5, 0x2e262d3a,
+    0xcf78b8c7, 0x93039875, 0x1e3b6910, 0x67ce28f4, 0x4c225ccc, 0x10aca4c6, 0xc3da089d, 0x30ec2e10,
+    0xeec50066, 0x5034dde7, 0x9d701017, 0xa9669896, 0xa544e861, 0xb2eb27cf, 0xa78ffd70, 0x014957dc,
+    0xdbc78602, 0xa0cdf542, 0x49d06b2d, 0xd182f263, 0x9988bae9, 0xa32f8357, 0xe735e2eb, 0x3635fce4,
+    0x17f70b6f, 0x0d4c3c60, 0xe7041fa9, 0xeb86c4b7, 0x27be7254, 0xa1ee4fe2, 0x9c949f6f, 0x2e0013d6,
+    0xc5d2f826, 0x3d2684b5, 0x1a6eee64, 0xc84677fb, 0x1bd71286, 0xd6a290f2, 0x3cad3d10, 0xa1957597,
+    0x22f622ac, 0xd0843d38, 0xff2f2c31, 0x6f3f308d, 0xbe8cf5a9, 0x17c3ab91, 0xaca7f5c8, 0xb48ad9c7,
+    0x7f66a5bf, 0x7d33df80, 0x73498268, 0x54b64b04, 0x839bfde9, 0x527a06e1, 0x353ddf04, 0xbba1f67b,
+    0x4021cfa0, 0x871be047, 0xc69375fe, 0x59debd96, 0x46591ec3, 0x2e635516, 0x8e9450ba, 0xb5ce5d21,
+    0x892c6b23, 0xfb11a014, 0xb84e761e, 0xc32e436e, 0x2c47ca65, 0x4453ca43, 0x2d1d807b, 0x3c73b066,
+    0xbd65e79a, 0xf76c3ab5, 0x2bd990cb, 0x7794a2d8, 0x6a1efdcf, 0x87d607c3, 0xa99c6ad1, 0x3cce64b2,
+    0xf47ee650, 0x5590a577, 0x0bd6093e, 0x0de5ea3f, 0x14016550, 0x88868fad, 0xe6b8c102, 0x8dca23d6,
+    0x195eca0a, 0x0f6e070d, 0x93dfc909, 0x8153dbe8, 0x871df6b5, 0xd037e5fc, 0x33f403a4, 0xc3b4602f,
+    0x80a5f59e, 0x1b8763a9, 0x870eb1e4, 0xbfb6a082, 0x49c9b720, 0xa446cd43, 0x45c855d3, 0x1ed9c56d,
+    0x55239781, 0xc046b29f, 0xb49d45df, 0xa6506b65, 0x470bffd9, 0xa665ea49, 0xf8fdf14f, 0xf11e4ba2,
+    0x4b9602e6, 0xde318374, 0x2af55761, 0xba7e2504, 0x2e47cfb2, 0x946b3ddc, 0xf184be1e, 0x3c89774b,
+    0x11159550, 0x9261113b, 0xbc87ba49, 0x00c70812, 0xd2387ff2, 0x4a7cf4ab, 0xde4fa1bc, 0x62dc8dc7,
+    0x71d0908f, 0xe3c88140, 0xf77483bc, 0x92d3de90, 0x7a517f4c, 0x220309a5, 0xcf2556e6, 0xc6928cdb,
+    0xc753bc4f, 0x41162786, 0xcd871422, 0x72ff3aa4, 0xf926560e, 0x33479d5e, 0xa6694d83, 0xdcef96bc,
+    0x3d68afe7, 0xbaa99e69, 0xce16a754, 0x7d7bd53d, 0xf222252e, 0x19e3e080, 0x385af5d6, 0xbca5df25,
+    0x4503581e, 0x00c564b2, 0x8229042d, 0xbb7f898d, 0x9feacf36, 0x7086ae76, 0xa4bcdcee, 0xc574ccaf,
+    0xdf9ae18a, 0x28656ea5, 0xa9e3d211, 0xec610154, 0x32c7e219, 0xe27a8332, 0x0890c622, 0x6e1e6152,
+    0x1100d9b7, 0x64af05c8, 0x46254dbb, 0x44e6ab9d, 0x4ed58091, 0x346e7cac, 0xbfec9d9c, 0x1289cf24,
+    0x02fca8da, 0xf9b02b67, 0x62cdbd03, 0xf5411d21, 0x1d27f947, 0x138a996a, 0x5101dc22, 0x82765a8d,
+    0xee8d586c, 0xddad63c2, 0xaee0048c, 0x1e97e5c3, 0x38d8760f, 0x33179f10, 0xa187b266, 0x06949bed,
+    0x4f6cddd8, 0x7d430d61, 0x763e15a3, 0x492649da, 0x8c1803c1, 0x5e093e62, 0x8022ccbb, 0x27000707,
+    0x50d05382, 0x74b08c10, 0x47099659, 0x905fff6d, 0x0169e5f4, 0x5598b8ff, 0xc1f73d57, 0x84210ea1,
+    0x8b0e7377, 0x6641c4ac, 0x2f4ddfee, 0x9ea5d965, 0x411b53f8, 0x64ddb73b, 0x370be1da, 0x022a6489,
+    0x2e40ffa4, 0x2de9ce1e, 0xd03e247f, 0x5a2a0f0c, 0x981860ac, 0x70337185, 0x0c5b183f, 0xf4f253d6,
+    0x317d649e, 0x559d81cf, 0x2399cc7c, 0x582eb5f0, 0x76cbc2ab, 0x219bc00e, 0xcf27a798, 0xe8fb917c,
+    0x56c4ac2c, 0xbd349df1, 0x1ec4e2cd, 0xf8dded5a, 0x2b9e5597, 0xbe54efae, 0xb95b6d58, 0x0fe0a53c,
+    0x04edcaf4, 0x69a25666, 0x2cc2300c, 0x2801233c, 0xe915e674, 0x3e7af890, 0xfb3b8019, 0x4393cfb3,
+    0xd32c232c, 0xcf55e21e, 0xb701b425, 0x760ac177, 0xb00cda5f, 0x3f9d4d1b, 0xd3600857, 0x791b6609,
+    0xaf2da61d, 0x179fe7f9, 0x77831dad, 0x8fecd02d, 0x6df924bb, 0xdaef7dab, 0x5e8fff43, 0x0043e9fb,
+    0x1b213e5c, 0x81ae4af4, 0xa1d5ed2c, 0x081b3855, 0x46ca7928, 0x9e059227, 0x957276d9, 0x3e68fc80,
+    0xa139560c, 0xc01bfd35, 0x00f2406f, 0x71d58920, 0x314d18a4, 0x83595cc5, 0x23ef1ddc, 0x61761152,
+    0x05f18b3e, 0xf7d8efae, 0xb6569630, 0x49c17b1d, 0xa85917ad, 0x024d373e, 0x84f04ac6, 0x1292cf4c,
+    0x2a93be10, 0xbced3d64, 0x5bc8d16e, 0xfa947800, 0x8e272588, 0xd78d0665, 0x92db8122, 0x879d1ec4,
+    0x64f9e062, 0xcbc59a8c, 0x91500a4d, 0xa05f147c, 0x9cb1043a, 0xfa87ee8e, 0x8f4b8d73, 0x1ee374d1,
+    0xc2456b74, 0x1e401e7f, 0xf9c62376, 0x36946da4, 0x1e54acc1, 0xf5ac0376, 0x6a45eec0, 0x27ea17a8,
+    0x9c2a5ef5, 0x83a209e4, 0x072d2409, 0xac59dad1, 0xf3443d58, 0x7a6dddc9, 0xce1cb80a, 0xb62d5a14,
+    0x33d64bad, 0x2703286b, 0x45561ba7, 0x0aa237fc, 0x8b7ce5ab, 0x22886a7c, 0xa7e7a82f, 0xb0cf28fc,
+    0xc1d7ca5b, 0x8fb18cde, 0x7dd57adc, 0x455be438, 0x5e76231d, 0x89878cf8, 0x51a31a73, 0xce1564ce,
+    0xd4f5b95d, 0xa042a558, 0xd60a869b, 0x82fc6bdb, 0x0c330509, 0x37998f54, 0x6c25b4aa, 0x745f8528,
+    0x910112e3, 0x870ba5e2, 0x65aaec80, 0x520101b3, 0xdd7a8126, 0xcfdaf4d5, 0x147bf262, 0xaf4298fb,
+    0xff12da3d, 0x70db7fc5, 0x05373ec5, 0x1084eff0, 0x2e58f3eb, 0xbe918dbd, 0x3b130d97, 0x431c3052,
+    0x34bf9103, 0xe330df8c, 0x303c55c3, 0xc043d3f7, 0x446184a8, 0x9143c346, 0x1f65beb3, 0x45d44ed4,
+    0xe67741b1, 0xcc72831a, 0x37822334, 0x666645be, 0x5059f781, 0x74d183a6, 0x7b86440e, 0xde9976b5,
+    0x9a462e06, 0xa7d5f5e2, 0xe63bb0f7, 0x83bd6782, 0xb8390ab2, 0xda65ceef, 0x9fe98119, 0x9f31d3be,
+    0xcf4269d3, 0x3a097858, 0xcccae6e7, 0x21661636, 0x0e149031, 0x542cf8e6, 0x29874dd5, 0xc2418a45,
+    0xea5bbc94, 0x119d8013, 0x8b4c429c, 0x7c2680b6, 0x20e1cd9c, 0x8d0d3daa, 0x8bf3ba17, 0xdd4f75f6,
+    0x02b5d52e, 0x9c81238d, 0xcb443de8, 0x6671033b, 0x77eea306, 0xb7d93f16, 0x23e09e41, 0xa9bd015d,
+    0xf2356b2a, 0x0a59b716, 0x21c789f7, 0xfb0489aa, 0x4f377bb0, 0x71317a57, 0xa766baae, 0x75762169,
+    0xeb5b4ae9, 0xff0a749d, 0x145c78dd, 0x6f39221a, 0xec18243d, 0xcb54613f, 0x92a35931, 0x594bb2fb,
+    0xe608cd43, 0x0213e667, 0x76319eb9, 0xa110082d, 0x1a7ee55a, 0x469caeb5, 0x89590123, 0x76af8e03,
+    0x06303ffd, 0x40c6da63, 0xbe193c2a, 0xb6bca1ed, 0xe825cfe0, 0x583883fb, 0xd0d679d3, 0xc3ef4afe,
+    0x02117417, 0xbef87a7d, 0x36d2cf97, 0xebd26e30, 0x663b1566, 0x2c22504e, 0x51aeaf12, 0x70883469,
+    0xa9b98b77, 0xe5847d3e, 0xcbcc042a, 0x4d28c41f, 0x3376a98d, 0x2e1d7e59, 0xed5b6587, 0x8bdcf773,
+    0xf7c6853a, 0xa759570e, 0x7dceafc1, 0x4de8bdfa, 0x9682eadd, 0x1267fac8, 0x5fb1ea96, 0xed64945f,
+    0xa78a7fc8, 0xc6367914, 0x20be2363, 0x2e6765d1, 0x13ca3cef, 0x0c984644, 0x11fb34d9, 0xa6d8ea0c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000042719740718418201647\
+                          90043412339104229205409044713305539894083215644439451561281100045924173873152 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406,
+    0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfd, 0xf461e98b, 0xe66bc085, 0x88ab8316,
+    0x00000000,
+    0x829982fc, 0xf6cd2d93, 0x4c1168d6, 0x069a6ad4, 0x9caca68d, 0x0d4ca71d, 0x126c1221, 0x52849c91,
+    0xe1754801, 0xbd0932df, 0x8e18a66a, 0x8eacd213, 0xa90a4499, 0x244a1eb5, 0x086da58a, 0x1e28ee62,
+    0x56179963, 0x3239c586, 0xd6b5d2f3, 0xa07d4703, 0x60a7e3fa, 0xcb9f647d, 0x3fd8f399, 0x4686f289,
+    0x511603a4, 0x0a704b27, 0x6bf80df9, 0x716e0cf6, 0x76598f74, 0xbf0e1870, 0xfa09825a, 0x25d027c1,
+    0x5b9d491a, 0x92a83fb2, 0xe20e81e5, 0x8f02780f, 0x7111f961, 0x7ba976db, 0x23dbc2e4, 0x5b845424,
+    0xf440f00f, 0xe318ce36, 0x02eb33ed, 0xfc4424b9, 0x1cb20360, 0xaeb49b7b, 0x291252ac, 0xb5f6c372,
+    0xe8316b1d, 0x5380857b, 0x3fea5f22, 0x0b76e3a5, 0x313de415, 0x09be550a, 0xa9eb15b5, 0xd6bd844b,
+    0x640b9227, 0xab24db84, 0x0978c5df, 0x56eb47ec, 0xe0b74c6b, 0x4e79dc69, 0xaff65b6b, 0xb56dc53b,
+    0x6c091cb9, 0x9738e778, 0x7c153c4e, 0x4ffcffa2, 0x1ba89519, 0x358385f8, 0x9b728dcb, 0xa9301981,
+    0x9d400613, 0x9ae84761, 0x044a3e3f, 0x9baf2820, 0x220c8e88, 0xb553eb6a, 0x83adefa0, 0x484c1bd8,
+    0xdda00f80, 0x0fcf352e, 0x5567511f, 0x0ea9d85a, 0x79b37334, 0x54905e09, 0xfd361e13, 0x0361ddc6,
+    0xb9e562f0, 0x012d49a2, 0x68a0cc3e, 0xc1330f4d, 0x9b558380, 0x3d259f20, 0xa98afbe9, 0x9c6fce16,
+    0x4b3535d0, 0x644886fd, 0x014a3422, 0xf0c0736a, 0x713716a7, 0x3592973b, 0x37659963, 0xaec29d53,
+    0xa86ba38c, 0xe3d2b393, 0x8b86751a, 0x471d4ddc, 0x7800f5d7, 0x834f64d7, 0x3c28f492, 0x6e37cdc1,
+    0xe9816bbd, 0xb6040a3e, 0x6af1b4c6, 0x3363f580, 0xce1d4c45, 0xc2fd2852, 0xff50b8f4, 0x39073a99,
+    0xc74943b9, 0xc38ab7e8, 0x0705dfb1, 0x6cb81329, 0x73dc81c4, 0x8e9f050b, 0x0e8e8b7f, 0x4abcf910,
+    0x3f588afc, 0x51cffb82, 0x084ac753, 0x1b1953fe, 0x3c44bafd, 0x8b11482d, 0x883f877b, 0xb0e9323c,
+    0x4a2a192f, 0x1454e2d3, 0x230ef107, 0x11e332b8, 0x5cbfc6c8, 0xafe27d5c, 0xa5f9cd8b, 0x75c25942,
+    0x92f788bb, 0x0648967f, 0x323fc6af, 0x648dfd98, 0x9ce77455, 0x04e15b0b, 0xd9693093, 0xedb230f3,
+    0x332e084d, 0x1a209f11, 0x90cce265, 0x97057402, 0x64b8c4f7, 0x298da3d7, 0x1a920f22, 0x8c751127,
+    0xde190e3d, 0xf3ff9d3c, 0x81126aeb, 0xa67dbc04, 0x45736ee9, 0xb3024a56, 0x576041e3, 0xdfab4ae4,
+    0x8bb416b2, 0x706300fe, 0xb0dfc9a8, 0xfb508fbc, 0x0d69ec1a, 0xa6b17988, 0x69f7191f, 0x44c2c69e,
+    0xcb1bcc44, 0x7d9099df, 0xb6472d38, 0x280312ef, 0x9bdfbdb0, 0x28366e9e, 0x3cf41ce1, 0xd99ac113,
+    0x77522911, 0x924eca55, 0x01a0a597, 0x191b92f2, 0xb800943c, 0x604181db, 0x7d6e7224, 0x16326935,
+    0x125e4d70, 0x8d2b3e9e, 0xdbc241a6, 0x714a0797, 0xed37176e, 0xfbac6ded, 0xf4356aaa, 0xce95c200,
+    0xf41bc5ec, 0xc2320b2d, 0x67ef6496, 0xd244db90, 0xdf63a745, 0xc851c447, 0xd953a72e, 0x2c242537,
+    0xda123577, 0x903dcd43, 0x3d6959f4, 0xe76fe9c0, 0x3fd1d758, 0xaf9c1d95, 0x87baf178, 0x3041347b,
+    0xd324992f, 0x45d58e2d, 0xfd298d4f, 0x1f5acaff, 0x0a24de4c, 0x62c43581, 0x7c43be31, 0x8d729997,
+    0x1d6fddde, 0xbb3bceb0, 0xb1c4f332, 0xea5b069d, 0x17be1d3e, 0x236e8d55, 0x1376ea94, 0x8b2dba18,
+    0xe04fad1b, 0xa447f53b, 0xb58b2637, 0x0802d439, 0x844f33a5, 0x04c181d4, 0xc01effce, 0x70e65db4,
+    0xff2eb37d, 0x97c33a59, 0xb500d11e, 0xa2383558, 0x800ccabd, 0x7fd89f1a, 0x0a664d01, 0xd2604c9e,
+    0x9bfafaf4, 0x221bbf89, 0x81c97327, 0x71eba47c, 0xb24a2e63, 0x364a77fc, 0xca338630, 0x2f3929f5,
+    0x18f4997b, 0x290a0d6e, 0x94d6d62b, 0x2947ad18, 0xdbc7274d, 0xd1710725, 0xd3fde912, 0xe2835b8c,
+    0x3ddab599, 0x0ab9ea35, 0x5b22c5f9, 0xb93d555b, 0xc480efe7, 0x2b180ed6, 0x0e2dee84, 0xfdc8eb60,
+    0x31fab7f1, 0x7c179276, 0xa30cf2d4, 0x2194a5a0, 0x9e676779, 0x2e6e8fdd, 0x2c04883c, 0xd31a35aa,
+    0xc887c31c, 0xb71b4a9c, 0x4ad7fd07, 0xd70cf361, 0xc3d16b8a, 0xfc944b8e, 0xc9981dad, 0x7d7731f6,
+    0x057f92c7, 0xe52b17ec, 0x1cb12640, 0x148bc29f, 0xb925252c, 0xea7e1390, 0x355a2472, 0x4f099214,
+    0x35b23c79, 0xab0c6386, 0x8667fc43, 0x813ab459, 0x5f93c198, 0xff9ee1f4, 0x7d9a44af, 0xbf92634a,
+    0x82b54ab0, 0x25ee7f9b, 0xf76d5574, 0x49d2051d, 0x83b35404, 0xe1178a0e, 0xa5fc8fd2, 0x89c47f64,
+    0x286eba65, 0x0ca4eccb, 0xe54441ae, 0xb17060c4, 0x85a4bfe7, 0xf5f6d0d8, 0x7394f3bd, 0x6c5484fb,
+    0x99c33b19, 0x58977f0f, 0xb5b2d13c, 0x2f5cd35a, 0xc617fd26, 0x603ffd48, 0x5b5cc134, 0x38db26d0,
+    0xc6907231, 0x724f8efd, 0xbdbd38ff, 0x5739c9ac, 0x1a216ced, 0xa3f67f58, 0xb974341f, 0x5b920abb,
+    0x1ca3909a, 0x88e43f89, 0xc7bbb9ef, 0xd87413bb, 0xeb03bb0a, 0x5b8eae7e, 0x20909e00, 0x65404978,
+    0x96d58fba, 0x81a2ea71, 0xb33223d5, 0xe5a71b97, 0x8fddeb1a, 0xb82c9839, 0xb8fe74e1, 0x9a58854a,
+    0xf6b434b5, 0x2f065a2e, 0xb1f8a84e, 0xf10fc3c6, 0x2344106c, 0xe5eb8e71, 0xe66173e7, 0xe7f64dd8,
+    0xee37d996, 0xefdde56d, 0x4b1187f0, 0xe214f657, 0x28dd78ef, 0x13aaf083, 0x630cc99e, 0x1dd795a2,
+    0xb12cca38, 0x205ebf29, 0x327def0b, 0xad1a2d8e, 0x84b4adeb, 0x1aff261d, 0x752814af, 0x561861df,
+    0x9703cb0f, 0xbe09a265, 0xb4092e12, 0x21cb9cea, 0x32914eb2, 0xdc0054a3, 0x946e1eeb, 0xf6c21c69,
+    0x0eb06cf0, 0x192dc95a, 0x2d55c8b0, 0x09c37948, 0x28edf4a9, 0xe2a7d3e7, 0xb9a40da4, 0x27873185,
+    0x6f9380a3, 0xf432fc70, 0x23e33b1c, 0x3b0573d1, 0xc287b1fc, 0xcb5beea7, 0x66d363ad, 0x43fa21c7,
+    0xf637f422, 0x8f7bbf05, 0x6f004ee2, 0x86e96dd2, 0x13bac910, 0x0d3da72b, 0x3dc060d9, 0x94acfaab,
+    0x5e2b609c, 0xc030f7c2, 0xbc9c0dc1, 0x78b5db6c, 0x2106795b, 0x28355308, 0x32d7bd79, 0x8e8cc329,
+    0xadf732ac, 0xfca2e91a, 0x55215607, 0x2207396f, 0x15ceb057, 0x7f0be717, 0x19c899d7, 0x0473eb03,
+    0x4e749197, 0xc5312216, 0x5d91fa78, 0xf826d27b, 0xce13ae60, 0x02e9b954, 0xe1d7aa19, 0xa8450309,
+    0x8d522fb0, 0x40e06a0a, 0xe3f43b00, 0x3bc59e11, 0x7a9f8e55, 0xe3431119, 0xf7789b1b, 0xb0e8c6f9,
+    0xc0fa5353, 0x3b298d2d, 0x5e0085f2, 0x2c45bf19, 0xee2b2124, 0xa5347e17, 0x2084f45d, 0x7373214f,
+    0x73a1b607, 0x1ecfc8e4, 0xba85bb38, 0xf3ddb945, 0x2d9506ba, 0xaa70a3c6, 0x42b22575, 0xcfeac5b3,
+    0x5496e929, 0x518edd03, 0xa419b912, 0x1ac084b8, 0x7ef54b21, 0x01e43118, 0x6b62a0da, 0x6e1c9f22,
+    0x75598a43, 0xbd9c4081, 0xf0a29a8b, 0xe257e132, 0x61ebd243, 0xcaba8251, 0x66e82766, 0x82afc685,
+    0x6c29cfcb, 0xf46547a5, 0x26473d49, 0x6082a9fe, 0x7ce309f6, 0xe278b561, 0x72b0f1d6, 0x098072ec,
+    0xec809cf2, 0xd2676e7d, 0xd8caa9ce, 0xee8a7530, 0x7e2c0a2e, 0x0f65f6aa, 0x2df51a55, 0x25ae5ce6,
+    0x63724450, 0xcb566385, 0xa527df84, 0xc709619d, 0xc08f188e, 0x67859647, 0xe8d48584, 0x95b0e9d5,
+    0x1b1874b9, 0x333ec835, 0xbeaae2d6, 0xe34b1e7f, 0x4908acf4, 0x887f9661, 0xf902e717, 0x17195d4b,
+    0x78d67a51, 0xe24f4e8d, 0x83cf1500, 0x4c6edef7, 0x8874a71b, 0x88d992f3, 0x4f42f48c, 0x06e2d120,
+    0xcb469a3d, 0xcf94c0b0, 0xdfe6754c, 0xb6bce9cd, 0xf458975d, 0xa51fb1f2, 0xc9bae3a5, 0x5949e3b6,
+    0x4dd6b320, 0xf110352a, 0xa7678eb0, 0xd0a8933b, 0xa989fc06, 0x3ca276a5, 0x8bb452f5, 0x54c0b3d9,
+    0x2bebe071, 0x0d7ff1d0, 0xddbe03a9, 0xa45326a8, 0xb6b53429, 0xae1c160d, 0xa9c532bb, 0x77ac71cb,
+    0x0126cb85, 0x8cb5153c, 0x4661c7f0, 0x1c059f22, 0x5bca2374, 0xd1df0ccc, 0x34efbe91, 0xfe8da9af,
+    0xcb72a1bf, 0x7e3d2477, 0x8ed69ca3, 0x4c7207e8, 0xe6ef8037, 0xa5106ddb, 0x58a19279, 0x32c37d1b,
+    0xfca18ace, 0x301271a8, 0xdb78dc1d, 0x41d8bb53, 0x2c9f5ce9, 0x5eebaa74, 0x53948ce1, 0xce01e6ad,
+    0x7d49c3c0, 0x8e35c002, 0xa37bac00, 0x213ca3a1, 0x3f6f367d, 0xf4786890, 0x21a6ba77, 0x8fb72d86,
+    0xc2f58a79, 0xf76103bd, 0x9472bdb4, 0x5bd320af, 0xe658f406, 0xe5f1b285, 0x66d133d9, 0xbc1c7f66,
+    0x9144d030, 0x73737e6a, 0x3fd4e09d, 0x1c906aed, 0xcebc83e9, 0xbb8222d4, 0xe80a6722, 0x3afab329,
+    0x732ff845, 0xd8ec2f16, 0x21b17c62, 0x1a37d244, 0x60825c27, 0xb080f4e4, 0xea80c1a1, 0xee09fe32,
+    0x4381d229, 0xbdefc433, 0xfc7e8743, 0x59614c56, 0xb62bbe64, 0x41435fa2, 0xed5eaad7, 0x06940272,
+    0xba7abfd6, 0x85e0e584, 0xe08e72b3, 0x1605019b, 0xfbe8e67c, 0xc3e1006e, 0xb9785ba7, 0xbea6ff6a,
+    0x90ef3b8e, 0xb629f932, 0x30c9d4f2, 0xf92a8e87, 0x86363a7e, 0x0c5ab8a0, 0x1c95e9d7, 0xfa8a6e35,
+    0x5af41b65, 0xba5ba904, 0x16b7764c, 0x97c6b9b4, 0xe6fe8aa3, 0xf44b0e38, 0x9cddf69a, 0x20c8f4d5,
+    0x4bda67fb, 0x1025af6d, 0x5a3e1dbe, 0x4c823ac4, 0xfe5d3f0a, 0x50d4f24c, 0x8a35913a, 0xb030007c,
+    0x102337b2, 0x1bee170c, 0xc95e8583, 0x9645f2a1, 0xb2568753, 0x7344cc71, 0xd1f1c9bd, 0x6d9b4ab8,
+    0xa94e21c3, 0x278bf66e, 0xd5ac093c, 0x1291f7cc, 0x00c65361, 0x190ca609, 0xe2849154, 0x26a3a8fa,
+    0xf2a4f2af, 0x8a728ee2, 0x37100fc6, 0x95ed979a, 0x2ce78ef2, 0x6bef1d8e, 0x1396ad95, 0xf1f56b80,
+    0xd73adf04, 0xe0c804f6, 0x82a67172, 0x64cbaf99, 0x1ecf7e6c, 0x1a8dfc28, 0x5fa3c7c6, 0x8270ae22,
+    0x39d723c9, 0x7df4f823, 0x76fa38df, 0x36e62902, 0x5bad3d6a, 0xb96c5221, 0xc34bc1ff, 0xa1dc4249,
+    0x6b24d6b2, 0x0c6c36a0, 0xbde3a8b8, 0x4866d2b8, 0x7f8a9895, 0x378645f4, 0xe3427154, 0xfe60da5e,
+    0xec5160a4, 0x0840cc12, 0xc0710ba0, 0xb8191a05, 0x81d83d22, 0xeb6d660b, 0x82e0cff9, 0x95c150cf,
+    0x758632cd, 0x3c1412e8, 0x28f3ec81, 0x8f451948, 0x7d31e5d1, 0x0c5060f1, 0xcf1b0a91, 0x7a2441ca,
+    0x35f47517, 0x1ed2b1d8, 0x4a573ac9, 0x6f0aa895, 0x799ffec0, 0x307f4e24, 0x9f2707a8, 0xa78b02ce,
+    0xec887b56, 0x4c785be4, 0x07dc5002, 0xbe5383ed, 0xc313b966, 0xe607e51c, 0x37d92049, 0x89e04a39,
+    0x7818fd30, 0xc9dc2b4c, 0x8996fd47, 0xab818780, 0xf50609da, 0x3a384a08, 0x1979d12a, 0x63146518,
+    0x83e66caa, 0xdb4a27b0, 0xde4f2a25, 0x7413b592, 0x35fd3b97, 0x5d8a50d8, 0xb4e8e5ae, 0xe435db05,
+    0xbb948ad5, 0xdacd1420, 0x5e663e39, 0xb24537ed, 0x54ab7454, 0x973a994c, 0xef683dd1, 0xf6380242,
+    0x7a8cd556, 0x71c995ad, 0xf7a2d619, 0xe8246cd7, 0xca775e41, 0xee19fdc1, 0x858f7aae, 0xc040c962,
+    0x3dd6815e, 0x18428ba8, 0x7f96ce0e, 0x305ba746, 0xc4946d2d, 0x1a8fe476, 0xb0e22140, 0x78f516de,
+    0x11bd701c, 0x96a63588, 0x876924d4, 0xaec810f3, 0xf4850d61, 0xe311d0ad, 0xe634966c, 0x39124d90,
+    0x4d5d7f19, 0xcfd88e11, 0x48897d44, 0x32194fc5, 0x21c49d48, 0x24cb0182, 0xf09bc3aa, 0x044b710e,
+    0x7f89a789, 0x63568c50, 0x6940a78a, 0xa4b2cc88, 0x41be770f, 0x6a85a170, 0xffa48911, 0xe8e23f24,
+    0x7296b3df, 0x8ad91722, 0xd38300b3, 0x64aec9ad, 0x6c75cff4, 0xdc14d710, 0xfa49b8af, 0xcf8a9a2c,
+    0x167425ec, 0xd43403f2, 0x30990c3f, 0x82c3de92, 0xa27d607c, 0xb2f02e33, 0xfae00b46, 0x256af350,
+    0x8d0178ff, 0x6c3a8a92, 0x6273f816, 0xc6c04a4f, 0xcbbe6a33, 0xd9d1cc29, 0x2d3cf355, 0x93d5c71e,
+    0x935a7546, 0x4d660e3c, 0x5e428e03, 0x67680df0, 0xee6d02c2, 0xc79d716d, 0x94c5b7d8, 0xf7fe7af9,
+    0xd52c0749, 0x1ed9255e, 0xe71638fe, 0x64a145c0, 0x5c7fadc0, 0x632db219, 0xf50fd3d3, 0x3793ca6c,
+    0x303f733d, 0x0a586c62, 0x21e48dc2, 0x9263dc65, 0xb78cc2f5, 0xbf7f61be, 0xe6d8e429, 0xf3eb5f5b,
+    0x589f6e17, 0xb3088737, 0x1e0e9004, 0xc22029bd, 0xfb4252a1, 0x2c74e74e, 0x2287c422, 0x7f291463,
+    0xbc9cbaf4, 0x40601192, 0x8ca0ba02, 0x92be013d, 0x1e1de210, 0x5115b109, 0x188629a1, 0x30b8ba7a,
+    0x3691c10f, 0xf39c6648, 0x373b8677, 0x5e470ee3, 0x8fd70462, 0x1ce5a5d3, 0x4d228bdf, 0x7ecae0ad,
+    0x0da56df8, 0x4e42200d, 0xe8725130, 0xde53226e, 0xcbae9e7a, 0x7afb0727, 0xeb679747, 0x55e0ffc2,
+    0x1b08958e, 0xa038efc7, 0xbb775aaa, 0x0af37d60, 0x7115e610, 0xc9f42984, 0x57562cf7, 0x3ac591b5,
+    0x855afecc, 0x50477fa1, 0x6c90b451, 0xdd7a9d79, 0xf2627c09, 0x9f5d090b, 0xd3b51f57, 0x5244a43b,
+    0x576f78bb, 0xccac4ff1, 0x2fee8e6a, 0x820a3a22, 0xdd6d8d42, 0xe1023556, 0x4e258414, 0x46eb38d4,
+    0x4350cee2, 0xc5d4e4ae, 0x7b647c3c, 0x0d427820, 0xfb935ba3, 0xc69a2d79, 0xbf7ab4ef, 0xe66c6ffb,
+    0x4a6a0d53, 0xa4562ced, 0xc37c9b27, 0x955af15e, 0x9b7d3709, 0x4d10deb5, 0xf0d407a4, 0xd85f322a,
+    0x7ab48c1d, 0xca8eb499, 0xb8859954, 0x242aa968, 0xf480ed12, 0xff405055, 0x19db7dba, 0x148d5dff,
+    0x9a60e7a9, 0x3c4cee81, 0x779b1a4e, 0xe2b4b28d, 0x94055f39, 0x6cbae0c7, 0x0f566e3a, 0xcba962f3,
+    0xfc8fde18, 0x2b85f4fb, 0x31539876, 0x6556461b, 0x5f0c859a, 0x2fe45de5, 0xc8a0cecd, 0xfc3d79e3,
+    0xcb3d54b9, 0xd863a5d8, 0x7641c65e, 0x36848959, 0xd1d53989, 0x636c85ed, 0x09eb0d36, 0x9450b5d1,
+    0x30cf2fe4, 0xf895104d, 0x1a3e9332, 0xb956d801, 0xb67386c4, 0x83b7ac49, 0x8300e7e2, 0x6b962176,
+    0xc0e52845, 0xc4e865d4, 0xab39cc0b, 0x2cedef08, 0x55070471, 0x709c6609, 0xb14d517f, 0x9c059c80,
+    0x72b003d4, 0x6401d6ac, 0xc7910823, 0x9fce020a, 0xb423a1ce, 0xee612f10, 0x916552c1, 0x5f041501,
+    0x3cddb04c, 0x91364cb6, 0xfb412931, 0x1713568c, 0x7e9295da, 0xdfec736a, 0x1aaf2bdb, 0x0f4bd822,
+    0x36e9517f, 0x6ea727b4, 0x82890422, 0xc8830565, 0x6c161bbc, 0xf37d699d, 0x3f477ed0, 0x0fb8f151,
+    0x7545a4c5, 0x01eee2e2, 0x977a7241, 0xae2002e8, 0x74ad82f1, 0x5973c581, 0x5743e661, 0x008704a3,
+    0x8b184437, 0x73c7d703, 0x9236c77a, 0x1ca79545, 0x433cff00, 0x81abfbff, 0x57b4b435, 0x42d51edb,
+    0x8c438511, 0x73a44314, 0xe8a6c1b1, 0x2ba248cb, 0x0de65782, 0xa3983b30, 0xacd0aed6, 0xe656cd59,
+    0xcf72ec44, 0x9c699924, 0x37d825ac, 0x722f0f65, 0x72f6d47e, 0x7ec07530, 0x8ee5fa7e, 0x7247fd5b,
+    0xe17d4e5f, 0x96918386, 0x56b2252a, 0x8095c226, 0x4ab3a463, 0x1f3d67a4, 0xc156185f, 0x08ae09e0,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000021359870359209100823\
+                          95021706169552114602704522356652769947041607822219725780640550022962086936576 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03,
+    0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fe, 0xfa30f4c5, 0xf335e042, 0xc455c18a,
+    0x00000000,
+    0xb6d92c22, 0x8a4b2329, 0x60786881, 0x223ef75d, 0x996d4ac9, 0xc870ea3e, 0x62d204af, 0x05521b7e,
+    0x2e75aa15, 0xb93036c8, 0x48b282d8, 0x048d2a6d, 0xffaade17, 0x10e7ac11, 0x19fefcb9, 0xff992965,
+    0x5a4d94e2, 0xcb48af01, 0x339d7e81, 0xf930b837, 0xe0ec9047, 0x4b957f44, 0x4e8a5ec2, 0x4a5e8bf7,
+    0x94a89ce2, 0x428abd2a, 0x68ec26b6, 0xad79c3ab, 0x0a2cc4d1, 0x3b13e19d, 0xb8c82380, 0x84d1eb85,
+    0x02735419, 0xad3ed3af, 0xf26b6515, 0xb28d0ed8, 0x66e13f9b, 0x8980a5ff, 0xdb58e5e1, 0x0692ab82,
+    0x9c97fcf7, 0x55ec9d56, 0x19df8ccd, 0x28d9bdcd, 0xa56d0ba4, 0xe8a967ba, 0x8d528155, 0x6fc75e04,
+    0xb375e8b3, 0x5af2b8e9, 0x13995c8d, 0xeb409965, 0x49060627, 0xef554aa9, 0xf4169a4f, 0x3f050cfa,
+    0x342657cc, 0x2f64abdd, 0x5684587f, 0x59d9d0d3, 0xb9ab9453, 0x0c7a6ae6, 0xb30bc944, 0x9aed670f,
+    0x7c753caa, 0x36b6f835, 0x00fbfdc8, 0x97f13769, 0x5b5005ec, 0x1df71878, 0x96cdbb17, 0x8b819fe2,
+    0x1528d54e, 0x0cc46cb8, 0xb0094a99, 0x584404cd, 0xbd89c59b, 0x73c57d8a, 0x84985eb6, 0x7d1f40d7,
+    0xdb7d6486, 0x957b7ade, 0xb39ff648, 0x8665b42e, 0x0dc0fdf7, 0x0b64ebb4, 0x06c446ea, 0x4df6dc5c,
+    0xfb4c41e0, 0x5afa0f87, 0x73700733, 0xfcad7179, 0x2ff87e2f, 0xac4db2e2, 0xbc155b19, 0x30da047f,
+    0x1d517edb, 0x4932da4b, 0xc05e83f0, 0x766a64d8, 0x4735463f, 0x5fe24129, 0xfa548d9a, 0xefaef08d,
+    0x5f9968c2, 0x931ee7c7, 0x2dc6347d, 0x65a1e8e4, 0x7aee5d1b, 0x41387e50, 0x0a062951, 0xc0c3e398,
+    0x120d8aff, 0xcb8ac97c, 0x5b5d191c, 0x77145f8b, 0x137d9736, 0x77d80f00, 0x85a5c6f6, 0xc8f91008,
+    0xf1b50c02, 0x1ac54e14, 0x3b902c2d, 0xf36f3170, 0x36991b4a, 0xf2b2b2b2, 0x6532324d, 0xfeb2ebce,
+    0x44f126b7, 0x0681e7bf, 0x5d3a09a0, 0x0db9589c, 0x31f18e96, 0xfa7d5ef4, 0x9806fa06, 0x0ba1d2e5,
+    0xfd3b6a4d, 0x2c824d93, 0xb0487c78, 0x8a8e5181, 0x22252b0a, 0x9d38b3d3, 0x358b01a0, 0x39268095,
+    0x98004329, 0xbf077efb, 0xacb8d6d0, 0x8c76279a, 0x78999b63, 0x57d21d57, 0x3dc3c10d, 0x0c46d764,
+    0x4d82d124, 0x8d22dfd1, 0x474a85c7, 0xa48ca24e, 0x40d022d0, 0x0b695a37, 0x8ed02f5f, 0x17a2d390,
+    0x29a314f8, 0x96f6b104, 0x05f46026, 0x7b300846, 0xd8ca119a, 0xed73430c, 0x271ea4b1, 0xd821d5b1,
+    0x6a7a566e, 0x81d1b46d, 0x9041cee9, 0x0c4fd69e, 0x0e0fc8a3, 0x4d7e13d1, 0x20c1db5b, 0xf5c61413,
+    0xc7580225, 0xffb36223, 0x1abf2342, 0x17668c2a, 0x8362ea30, 0x5e3acfd9, 0xe7404317, 0x4a910ca0,
+    0xd3235682, 0xc929dfd2, 0x7b671b29, 0x6d99aaba, 0xf2be5548, 0x0a2e17cc, 0xa85aa2d8, 0x8d33a5c2,
+    0xf9f7be1c, 0xc82fefbf, 0xd437fd06, 0xe7d78daa, 0x735ce879, 0xbce90c9c, 0xeb8f85f1, 0x76ba57ee,
+    0x1cdc332f, 0xb6bc4844, 0xefd84416, 0x7ef5bd3a, 0x289f427f, 0x63ce1108, 0x2742c6f2, 0x691a7e2d,
+    0x7a04cf49, 0x2cc34a5e, 0xb37f258e, 0x7c3f83ab, 0xc0450a79, 0x31b3e243, 0x37438691, 0xab9627c9,
+    0x50e419a0, 0x440ac827, 0xf678e6e0, 0xd6bc4829, 0x1142ccff, 0x1472b86a, 0xa5badac6, 0xd6a0401f,
+    0xb47ebbb9, 0x19ce62e8, 0x45987077, 0xb174e815, 0x6af194b3, 0xfd7ab246, 0x5ac9bba9, 0x0aa3b11a,
+    0xddd5a524, 0xde28c2f2, 0x78c4da04, 0xabf67415, 0x7e3f1b92, 0x9915ad3e, 0xd0281c3f, 0x66fe07be,
+    0xd1bbec9b, 0x1840d6d7, 0x3b9ddb3c, 0xe88be340, 0xc5979a57, 0x902c22ac, 0x686367ec, 0xb1106e3d,
+    0x6fe94f2a, 0x6a8332e5, 0x8f627356, 0xac1aa43f, 0x1e059dc1, 0x431221b0, 0x8aa148a3, 0x4d22d428,
+    0x5be176a5, 0x90d9d4e4, 0xde35d7a4, 0x0d7bf74f, 0x119cdf22, 0xdbbcfbb7, 0x64dcd686, 0x7b2ffda5,
+    0xf112998f, 0x7c08b4e8, 0xb3341efa, 0xbd704e2b, 0x26321c1a, 0x11c816b9, 0xfdd13ad4, 0x2687361f,
+    0xcb194fa1, 0x12c391be, 0x81b5a63b, 0x2988e0a7, 0x57a2819a, 0x073f5b95, 0x039bb154, 0x779c1849,
+    0xe1f035f9, 0xd681985b, 0x1a200a13, 0x24f5b99e, 0x9a23095f, 0x69b5c483, 0x1dae92ca, 0x76c776b8,
+    0xacb35b0b, 0x7fc19d9d, 0xfe43d8ff, 0xf11f19c0, 0xffec92f0, 0xd7f7d5e8, 0xc1ae2b9e, 0x560ccc34,
+    0x8bd549c4, 0xad510d70, 0x0ce7e829, 0xd7d762c6, 0xeda8c6d0, 0x3a612dc8, 0x647b4d13, 0xe877f7d1,
+    0xcf5e6660, 0x2880fd54, 0xff424a12, 0xc5a83c5d, 0x7b008d1e, 0xcc37d1c4, 0x94b8a927, 0x21733704,
+    0x3ee330e3, 0x11fd1376, 0xf780f8bb, 0xaf09e9ec, 0x004a349e, 0x624d5ac1, 0x2cc260fa, 0xc855c326,
+    0xfd170595, 0x403b71b6, 0x160f5fb6, 0x5c6d9e2c, 0x8e42684e, 0xe4e8566e, 0x0d57cadf, 0x609baa9e,
+    0x5304c8cd, 0x1f9ec68e, 0x29da3992, 0xf276334b, 0x0693fef7, 0x61465f9c, 0x875d92b0, 0x7c86717a,
+    0xda569829, 0xa1164ebe, 0xb1497dc6, 0x812a0887, 0x2e6aa4dd, 0xbf161476, 0xca1eee9a, 0x88389216,
+    0x4bfa8c7b, 0x8133a192, 0x15cb8f3f, 0xe322e4ed, 0x85996256, 0x9032b138, 0xf4bbdd01, 0x2c91114b,
+    0x0df0d211, 0xef40040c, 0x1969c88e, 0x7a7c2e84, 0x3bbde3b2, 0x7acc591d, 0x857c2a6d, 0x2ebc2cf2,
+    0x47c9b503, 0x481cf9c4, 0x5a359494, 0x0fd4de7e, 0xad555c80, 0x967442f0, 0xb3321e00, 0x39c41cf5,
+    0x6e2e3b34, 0x52e86cb1, 0x64cdead8, 0x247d1e89, 0xcfb4ba6f, 0xb5fc91be, 0x69d3df33, 0xc129463b,
+    0x25561be6, 0xb169a08d, 0xf3894a9c, 0x81a1295c, 0x271bcc57, 0xd0b47799, 0xe6004372, 0xdd80ac9e,
+    0x49527d17, 0x914a4556, 0x137788b9, 0x1d07286d, 0xca639ee9, 0xa8978b54, 0x92f65484, 0x1b27f320,
+    0x618ee349, 0x8b2113c7, 0x607fcfa4, 0xd2595934, 0xca354e1d, 0xb83b4976, 0x4d4da9a2, 0x971c5d84,
+    0x4fd305cc, 0x6c5df875, 0x2e41e2f7, 0xa9d4d74c, 0xea24cd60, 0xb5fe2a64, 0x868cbf2c, 0xb7e837fb,
+    0xb42269fa, 0xb8bbe7a3, 0x17e85307, 0x138896da, 0x196548b7, 0xe4adaa16, 0xae0ccc13, 0x5ddad545,
+    0x831bf94b, 0xc8f3b242, 0x1c9a572b, 0x3dcdf8d2, 0x63e30a84, 0x50a485a8, 0x47818c52, 0x267b2566,
+    0x8e2e73fe, 0x6ba30a36, 0xcd2e1cd5, 0x5d6ff1e7, 0x7583e122, 0x78f773df, 0x1cbd4561, 0x371cf7d5,
+    0xd44a4e2f, 0xc4a04f5d, 0x8156d0c0, 0x5b763889, 0xc3931399, 0x12fb8c5b, 0xbfe23255, 0x7005cb8d,
+    0x4160463d, 0x8903f299, 0x55aa6d5d, 0x0e68caa2, 0x018e6fc1, 0x3fa8c7fa, 0x9ed76a33, 0xccf25c13,
+    0x8d68a471, 0x31fdbadf, 0x25cae6d2, 0x5d21ba65, 0x49533190, 0x1fe86ab9, 0xb4254a29, 0x41817fbb,
+    0x1ca7ca9a, 0xe23c4228, 0x9202ff7d, 0x4a45d896, 0x7dd220b1, 0xbe6806a6, 0x29e0598b, 0x9cd90f44,
+    0x4b07456d, 0x1adc9d0d, 0x8037af36, 0x9920aa79, 0xaf9cf179, 0xf4fdf400, 0xb60a0f0c, 0x5a120adc,
+    0x8061587d, 0x4ea875f6, 0x2effd814, 0xea195a21, 0x139af248, 0xfe0dc7a6, 0x1933302a, 0x114d2358,
+    0x42be26e5, 0x0bd49dbe, 0xf84dca0f, 0x501eacba, 0xdef88c29, 0x18f2d1e1, 0xc6dc36a3, 0x6a45ef0d,
+    0x606c70b8, 0x4ab2459d, 0x486aaf4a, 0x7bcb01f6, 0x904a0954, 0x68fe94ff, 0x132115f9, 0xb1ef678c,
+    0x9842449b, 0xfc5cb7b1, 0x3008a9e1, 0xc9f6e93e, 0x2fe2d490, 0x25ec3be5, 0x2a1b766c, 0x3985c7cd,
+    0x95c2d0d5, 0xca4769e2, 0xd3fb9e64, 0xb9f06327, 0x45e90c58, 0x0660bfd3, 0x15c37aeb, 0x7a8d486a,
+    0xd96cc7e9, 0xebaeba5f, 0x4e63cf3c, 0x33cb16d8, 0x58b28eea, 0x4fc35352, 0x6eb6d917, 0x0c00681f,
+    0x2510ff6b, 0xcacb250e, 0x0c3668ba, 0x902cd5a6, 0x737339ec, 0x6191abbc, 0x43985374, 0xb4c6d96d,
+    0x3f8e7dfa, 0x60a62a48, 0x617cceee, 0xb0830172, 0xe4c96d4b, 0x1f30610a, 0x3ce3f76e, 0xf4e8abdf,
+    0x9f02d419, 0x99fd6e61, 0x018b5bd3, 0x4608bdfb, 0x22ef894a, 0xa0f9ed99, 0xef51fd6e, 0x31123c24,
+    0x7acedabd, 0x38f589d5, 0x73d8083c, 0x77995789, 0x6451fcf1, 0xbae5723e, 0x0f7f8dd7, 0xc1668a32,
+    0x261c1d2a, 0xea129275, 0xebbdc45a, 0x0e075e7d, 0xdea60054, 0xc834952a, 0x8fe02373, 0xdabade6a,
+    0xe93ef1c2, 0xff959d3d, 0xb364e8d9, 0x41096306, 0xc5cd9e9f, 0xc86601eb, 0xef1250f0, 0x6f15b913,
+    0xf0fe934d, 0x104af09e, 0x9b48dd0d, 0x203129f4, 0x17020611, 0x7f7f8524, 0x87b4c443, 0x00d7971a,
+    0x7c6c222d, 0xf884f9b6, 0x5ad005fa, 0x5ce9091d, 0xbdd45c97, 0x534bc43c, 0xe4fd773e, 0x2d2c2699,
+    0x60a8e837, 0xf867d0b1, 0x52253648, 0xcb3b0c7b, 0x160ffbbf, 0x5468f7b3, 0xc1d8be63, 0x0a96e97b,
+    0x7cba52d1, 0x0144cc8b, 0x2578e7ab, 0x6d112259, 0xb11c2209, 0xd5d92c19, 0xe2eeee4f, 0x8bd1851d,
+    0x83702ff0, 0xee1eff76, 0xd344fd61, 0x9b58beff, 0xfe050928, 0xbf77ef13, 0xa1a3e64b, 0x727de559,
+    0xc19147b0, 0x84baf0ac, 0x2cd1ebd2, 0x4fa0ba49, 0x8e9cf3f7, 0xb6f02bab, 0xe7d8aee7, 0x8d67a931,
+    0xb90719c0, 0x725a15ce, 0x0c3b5a38, 0x78e49ec1, 0xb2f5bb0a, 0xa394d494, 0xc7370b65, 0xe981dd0b,
+    0x659f3c78, 0x139a9522, 0x1eb896c0, 0xfdaa0d5d, 0xeb37775f, 0x49f7964d, 0x654e23c0, 0xd291792b,
+    0x9107b0a8, 0xade8f2e8, 0xc3acdaab, 0x57d0a250, 0x0a0a2a2b, 0xbc9b0cc1, 0xa37c0adf, 0x9c861175,
+    0xde8ca06e, 0x309fbda5, 0xaefd1cf7, 0x1487f3a1, 0x2b6509d2, 0x688aeaa7, 0x3ac04901, 0xc3ea7582,
+    0xf75cbc99, 0x255feb65, 0x33b6b72a, 0xc4abae08, 0xe9863623, 0x8dd74ecd, 0xbeb4270d, 0xc68ec3c0,
+    0x7e5cb2d5, 0xdf4ee9e0, 0x7f7498fc, 0xbd522585, 0x3fb05897, 0xea611207, 0x39c20ad1, 0xc44573fa,
+    0x360213a9, 0x90c06170, 0x00315eed, 0x24129e2e, 0x377ab551, 0x03184bc4, 0xb5189d4b, 0x75664bc4,
+    0x1d38f1be, 0x80384f52, 0x41245072, 0x60a8c82d, 0x7f92ecde, 0xfa4eef5b, 0xa455c48b, 0x7a262b15,
+    0x4c120c0d, 0xf9bb37f8, 0xf01a55ad, 0x9fa1a92a, 0x1686f20e, 0x879ce159, 0x7ea0c335, 0x4324d3a4,
+    0x3053de96, 0xb90c8059, 0xfa3d2f3c, 0x352d1697, 0xcf61c670, 0xcd27354e, 0x178bf06a, 0xf2577427,
+    0x097abcd9, 0x183f6abc, 0xd59f9222, 0x87ca8747, 0xee24218e, 0xf93237a4, 0x04fcd144, 0x82af7de8,
+    0x1c37dfcd, 0xd9ff5a0f, 0xb1f669e7, 0x1efd93ac, 0xa447c09f, 0xb9cd84a3, 0xb825c90f, 0x2be8fb5d,
+    0x05186321, 0x4911a198, 0x1ba0b290, 0x0cf9444b, 0x635a0401, 0xb9c0c832, 0xf9877300, 0x3505ed2b,
+    0xdc48e534, 0x7939c1ff, 0x846de7ee, 0x82facdc4, 0x3a82b79d, 0x4931c9ec, 0x16563418, 0xb2852f51,
+    0xe20a0b03, 0x465e1f1a, 0x01cf8f90, 0x1a854d9f, 0xc445ba00, 0xbe936e3f, 0xf54275bd, 0x580a7cd0,
+    0x0f4864a8, 0x923ed232, 0x437feec5, 0xb7a1d11c, 0x3e18d166, 0x6beaf903, 0x7635284d, 0x67b190a1,
+    0xf333ec6e, 0x31bb9fb4, 0xc69d4fab, 0x2d4f9a55, 0x22ecd341, 0x5c6fbee9, 0xa726d544, 0xe796cc65,
+    0x32295274, 0x2fccb813, 0x823bbfd2, 0xadf02c42, 0xc906fb93, 0x99bb42d0, 0x9ee43d21, 0x338ed49a,
+    0x4266df3a, 0xbc75f4c7, 0x9d41a2cf, 0x40c7c139, 0xdfb9e25e, 0x9f6b9a6f, 0x0e687dd0, 0xd64aeb42,
+    0x360dbb72, 0x3eed0a7b, 0xe418d115, 0x40c7aa1d, 0x12d5f215, 0xf7067f2f, 0x8e582b30, 0x672c2a8c,
+    0x5a1f9b29, 0x5fd74b57, 0xf6dd20f8, 0xaa7e83ee, 0x3a189cab, 0x4e314901, 0xe96a26c7, 0xf8a1fbf7,
+    0xc0c53b54, 0xbb5d461d, 0x416b206b, 0x1412063e, 0x952e40d0, 0x4c64dcc7, 0x635f627e, 0x7f3256c4,
+    0xbf4fda0f, 0x327915c0, 0x4a46bee0, 0x23d3b66d, 0x901d3490, 0x5269af46, 0x39a87887, 0xdb22e372,
+    0x43a444d0, 0xbc839a52, 0xe7e6ef24, 0x1e18baae, 0xd765ec35, 0x3548b182, 0x3ef03a0c, 0xa4503657,
+    0xda5bf7d8, 0x8ab48ab0, 0x5ad5e149, 0xe649473e, 0xaf84224d, 0x2a0072d0, 0x1e9c4f7f, 0xe8c7f48c,
+    0xe5930141, 0x7454fd86, 0x0d52e283, 0x90a64f18, 0x00b5f7cc, 0xcfb7eeea, 0x3f188413, 0x53288492,
+    0x93febf6f, 0x8478ec2a, 0x32fbb686, 0x4079ef53, 0x9a6e0d3e, 0xe8a1f0b6, 0xcaa8b1f4, 0x25011664,
+    0x79e770be, 0xbb61e61c, 0xd101ad9b, 0x2512eece, 0xc94cd373, 0xc2ec0d74, 0x08f74d95, 0x132b57c2,
+    0x9b7f5722, 0x7d92ffd7, 0x029f2ab2, 0xd2f0d329, 0x250ec084, 0x6ffc01ae, 0xe5d44968, 0xc4a77ccb,
+    0xe80d7bf1, 0x3f1b50a1, 0x8407652d, 0x23a42160, 0x7036c870, 0x7e1c9ce3, 0x498a7c10, 0xe3528516,
+    0x1542bc34, 0x2ad0bd88, 0x014789a0, 0xa1291c69, 0xf04e0f8b, 0x5c88cde3, 0x2992c9a7, 0x6b62f703,
+    0xe82f9f80, 0x74c7431e, 0xc918b7bd, 0xd4c202e0, 0x7203247e, 0x9e2276ea, 0x59563f10, 0x6dcd3721,
+    0x1f22d48d, 0xe16f4e39, 0x47109fc0, 0xc5169aa2, 0xafd6331f, 0x31950e1c, 0xd47da29f, 0xe0a70f61,
+    0x4835e4cd, 0xaa999129, 0xfaf46067, 0xac24bab9, 0x672c03c2, 0x8eeabf39, 0x3a9844a6, 0x82ee007c,
+    0xe5bca2d1, 0x140c4c8d, 0xb7856542, 0xf9d7e3ec, 0xa3961cc5, 0xd9e36f9f, 0xf485522c, 0x8e37c28c,
+    0x6f73c4a0, 0xad480670, 0xd1d8c0cf, 0x97e5e2b4, 0x02a257ec, 0x649e279c, 0x7045e5e5, 0x41d9ca5b,
+    0xcb6e6c50, 0x517e6d3b, 0x63d4f8a5, 0x27d63547, 0xeca66571, 0x4b5b0375, 0x36df417f, 0x2512bb18,
+    0x2420a91b, 0x2cb44cc9, 0xbf178870, 0xf742e499, 0x07696f0f, 0xa69cb7ed, 0x2f4a40ab, 0x64966cbd,
+    0x7121c91f, 0xc545637a, 0x6977804f, 0x753b4ce7, 0x3f6244e3, 0x18c68d0c, 0x698bd347, 0xb931c67a,
+    0xba93367b, 0x96326d9d, 0xfcf2054d, 0x2a494a30, 0x8f6cf209, 0x58aec8e0, 0x4bcb2ee3, 0xd51952c0,
+    0x8ec8265b, 0x75d256d2, 0x5ba5badd, 0x8968a826, 0x4afe2240, 0xec16b355, 0xf6e0a1ea, 0x6f918506,
+    0x96741b1c, 0xedce828b, 0xb9ea5ee9, 0x64a19025, 0xf7c65a50, 0x203339e4, 0x9eeb0efe, 0x22c76997,
+    0xa584f566, 0x91e3e69b, 0x9eca9b0a, 0x0ec90fcd, 0xe2bbc7bb, 0x45598a02, 0x6f16dabd, 0x7b6bfde7,
+    0xc855f0c9, 0xcbd38c85, 0x1b951006, 0xb075ee4e, 0x15883d93, 0x7a498f1a, 0xa419949d, 0xf4cd6703,
+    0xc985e343, 0x133734fe, 0xb3f29815, 0x05790c3f, 0xa81ea2fc, 0x4998f718, 0x3c9820e9, 0x1f3e1c1a,
+    0xbda55a33, 0x324618d3, 0x770c02bf, 0x36f8ad83, 0x1dd576bb, 0x5368fcb0, 0xbeb989c4, 0xf146a549,
+    0xfc1e9e1c, 0x57a176c6, 0xf83a0536, 0x8f42976d, 0xe2cb4e43, 0x3d215a30, 0x88c7679e, 0x2ed88b01,
+    0x05463ba7, 0xbf22ef5d, 0x93228b5d, 0x1da1497d, 0x83fc77b3, 0xbb1e359e, 0x8268153b, 0x3305f214,
+    0xceedf69f, 0x6f5d8703, 0xd5636050, 0xbc5f3053, 0xb4981eaf, 0x63a79fe2, 0x6bc76c81, 0x63ce064b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000010679935179604550411\
+                          97510853084776057301352261178326384973520803911109862890320275011481043468288 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501,
+    0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537f, 0x7d187a62, 0xf99af021, 0x622ae0c4,
+    0x00000000,
+    0xd85ab1c7, 0xbcad6e80, 0x947bfb70, 0xfbb9a720, 0x827fd62e, 0x7625fce8, 0xc4ee4a09, 0x4819e254,
+    0xf53cadba, 0xec20b0e1, 0x73651347, 0xb4c3a24c, 0x2f241daf, 0x3316ac7d, 0x8c02f9aa, 0x9efb5af9,
+    0x46007191, 0x78348405, 0x280f701d, 0xdd2ea36c, 0xe813ee32, 0x51b53e3d, 0x6e86262d, 0xc1bc6b53,
+    0xbf97114d, 0xd2f79b8b, 0x6adc3df7, 0xf947afbe, 0x5d1ebe7c, 0xa4941c26, 0x4c5da80e, 0xae800c05,
+    0x1824c6a7, 0xf0488d6b, 0x234417f7, 0xcad33d61, 0x9c6bfc02, 0x15aa1e04, 0x1cfb1b45, 0xb1c286e9,
+    0xad6888ac, 0x46a30aac, 0x5059b28b, 0x6ac750b7, 0xf63eb5a5, 0xf30c3242, 0x788c8af6, 0x38c57d9b,
+    0xd3c2f253, 0xde15bc06, 0x5394a3ac, 0xc1abe76c, 0xbb752368, 0xb77c1b26, 0xeb054ae6, 0x14cb3391,
+    0x30d4549d, 0x4b88013c, 0x25326d0b, 0xbf1a3274, 0xf651d26d, 0x5b48071c, 0x48d0817a, 0x58563779,
+    0x8c0c7a54, 0x73b1b755, 0x36a7e28b, 0x1a2c5dc7, 0x9d08f726, 0xe3de2bb1, 0xfb923724, 0xd63701a2,
+    0xbe6617b4, 0x5bf6dd90, 0xbfb00a4d, 0xecdcf12a, 0x5498e645, 0xe65273ca, 0x109bc640, 0xf173b10d,
+    0x830f20a6, 0x5607ff11, 0xb56fb5cb, 0x0eb5e765, 0xcff02a8f, 0xf6b2a377, 0x6705b29f, 0xa87623d6,
+    0x45e998e3, 0xed1c3273, 0x69504ef9, 0xe4453467, 0xc260f420, 0x4db2b200, 0x4898f471, 0x35dcb0bf,
+    0x29dd9ded, 0x595db442, 0x081548d5, 0x05e63034, 0x4d0a300b, 0x91e180b0, 0xc954e3e7, 0xf10e90f4,
+    0x493bcc7d, 0xf87c2861, 0xebe3fe36, 0xa7e75dec, 0x88a71d37, 0xb2b0232e, 0x6f2c79c5, 0x62894bbc,
+    0xe6364a6b, 0x3c08e69e, 0xcf09a031, 0xbb5e1c2b, 0xb193f6ed, 0xdb1a0552, 0xd38afd0d, 0xcb4d29a6,
+    0x4682ad53, 0xb1778eb1, 0x8c1d4886, 0xb00f35d8, 0xf311a3f6, 0x240043b8, 0x74c8e54c, 0x9f6deadc,
+    0xa5cdf7c1, 0x941688e6, 0xfadf0753, 0x79110d8c, 0x12fbacc5, 0x87717eb5, 0x95da13fc, 0x02b538d2,
+    0x728aba89, 0x87a485f4, 0xf037fa59, 0xd7abf50f, 0xdae38312, 0x305edfea, 0x50d0b4f8, 0xa1c2d6b6,
+    0x9f414c91, 0x14225678, 0xd3cf6d4e, 0xa784430d, 0xe5177f99, 0x29a8ffbe, 0x3510bf5b, 0xa6d601c8,
+    0x3ea80d43, 0x2a8ead81, 0xb59351ce, 0xceda6863, 0x1e124060, 0x0a870065, 0xacade2a2, 0xd02b4693,
+    0xe98acc58, 0xcad2a57f, 0x767023ea, 0x8a7fe620, 0x8931e9b4, 0x9a34d1c2, 0x5a6a4b75, 0x675bdb92,
+    0x2c08c219, 0x8900e648, 0x418bd126, 0x0385f80c, 0xfe616ba7, 0xdb90e632, 0xd62a4d65, 0x753ca45d,
+    0x938077f7, 0x9f355a94, 0x9223c6f7, 0x8b48c395, 0xe1e81721, 0x524341aa, 0x795b89eb, 0x1388c3a7,
+    0x3b997be1, 0xa427b138, 0x69ff7a38, 0xeb18c4ee, 0x86fb9986, 0xea284f95, 0xb088e71b, 0x4f6786d0,
+    0x7cd1e9e4, 0x7d5a0377, 0x4c042d87, 0x925fec58, 0x8f6b7774, 0x0ba12134, 0xb6019390, 0x32fc0f8a,
+    0x4cca963a, 0x8c9f97b9, 0xa4e82500, 0xbcb2fef2, 0xf5b8821f, 0x1dc506b5, 0xa8d5383c, 0x950ae082,
+    0xcda75ffb, 0x7132d9fc, 0x8b062d01, 0x93f44e62, 0x266a52bd, 0xdc5e2523, 0xd6b9e52c, 0x3acbbeaf,
+    0x79a47830, 0xb89099b1, 0x5c6ea767, 0xafaf233b, 0x7abd2933, 0x2994c984, 0x40c02dfd, 0xf40ca9cb,
+    0xa72547c1, 0x783abb45, 0x2d74b3ff, 0x445409a0, 0x8f3df2de, 0x644f897b, 0x2514e51e, 0x978c87bf,
+    0xbb31e2df, 0xb49cf2cb, 0x58b7b59b, 0xcb25188e, 0x793c81fd, 0x4fefbb4c, 0xbbb3b174, 0x65cfc94e,
+    0x94778ce4, 0x5de7fa00, 0x4f4bca4c, 0xb8c0e858, 0xab87dc6c, 0x778bc5c4, 0x1db86c3b, 0x40d20ede,
+    0xb08e0d6a, 0xf9da4acc, 0xc6e633e8, 0x44e53ec7, 0x08f2c3c9, 0x2706dcda, 0x1c3f72d2, 0x1991ec90,
+    0xca6d2f65, 0xa8ffbd3c, 0xd82fbefa, 0x042f5b6c, 0x320c0e39, 0x60b4545a, 0x78392bc1, 0x21af16fb,
+    0x94d7f90e, 0x359c55e2, 0xa3d184af, 0xbc47cefb, 0x341de442, 0x09fe7652, 0x4bd1ca6d, 0x8e407125,
+    0xab4351a0, 0x4d5ff662, 0xa9bdb1b4, 0x319ee037, 0xa8164a2a, 0xefccff59, 0x76ea6a8c, 0xe084a48b,
+    0x2b20a689, 0x97c816ce, 0xdc348fd1, 0xd78a3f82, 0x4290976c, 0xbad370b7, 0x73c2500c, 0xb1050a00,
+    0x5508d2d1, 0x043cfa95, 0xdda7cfd9, 0xdbed10fc, 0x2c85029b, 0x6b5e7759, 0x3827d5ef, 0xc7714bad,
+    0xd8fb95e8, 0x35951a35, 0xb4eb04b2, 0x50e76798, 0xc95dce7a, 0x9446efa1, 0x786bcb89, 0xa2c32bee,
+    0x7a9a489d, 0xc60a2e8b, 0x9297af58, 0xf401322a, 0xee2e99e5, 0x680acdae, 0x7ee17a5a, 0xd4da2c37,
+    0x8279e51b, 0x08535feb, 0xdbe407aa, 0x651893f8, 0x9d018eeb, 0x82217a23, 0x9dcfb132, 0x1368ddc3,
+    0xbf78721b, 0xf14f5056, 0xc1f9f422, 0xf17d5917, 0xbb351f4b, 0x45522be6, 0x6bc5537e, 0x411b9a5e,
+    0xe14a6f26, 0x83e13d5f, 0xa3af05ba, 0x38fafdb9, 0x0fb18cb1, 0x7f8fecde, 0x9d04ae97, 0x36611eec,
+    0xfda078df, 0x4321ee69, 0xb32e88b2, 0x22fa3a97, 0xe594a058, 0x52cf437b, 0x2ce7d30f, 0x5e8eb01e,
+    0x5f0169f3, 0x31003fca, 0x5c9ce288, 0x5e5b5b77, 0x466ee2b4, 0xf6549927, 0x76efee2d, 0x3842127b,
+    0xe07fddbd, 0x66f25a5f, 0xa18f053b, 0x855c6e18, 0x185a119c, 0x4d334599, 0x41c3f8f0, 0x5f562edb,
+    0xb1f5be2b, 0xff8bf0dc, 0x7ef9ea41, 0xbf281223, 0x96a9e1b2, 0xd06db34c, 0xbfba9669, 0x8a2296b1,
+    0x40de4abe, 0xd2748a52, 0xd0e309fd, 0x79d4b4af, 0x4a7a3a88, 0x31076210, 0x0b944532, 0x6905a56b,
+    0x62004634, 0x0be4e18c, 0x309a8251, 0xf5c2ec43, 0x124a2d63, 0xdfa1c214, 0x90aa7b19, 0x17a297a9,
+    0xa3c766fe, 0xec9d1089, 0x15286530, 0x48283432, 0xb8d866e7, 0x51d74320, 0xc7807aa0, 0xb29501bd,
+    0xe0a29948, 0x5cf41fb4, 0x76b62a9e, 0x184e4046, 0xa780de80, 0x8dbffee8, 0x837384c7, 0xf3558050,
+    0x84e44202, 0xa6be0637, 0x89506842, 0xc860ddfb, 0xe4712940, 0x2d07e910, 0x07a06fa3, 0x926c2dce,
+    0x407119dd, 0xebaf0878, 0xde89d184, 0xa5a8601c, 0x98925c39, 0x90c4313d, 0xfcc882d7, 0x408177ea,
+    0xdd1c8657, 0x8cc4933e, 0x171e5101, 0xcec04a0c, 0x6d40d9b9, 0x2dc9e6ee, 0x36ff401b, 0x144eb7ee,
+    0x9fead266, 0x2b965d5b, 0x2ba63bbe, 0x68a5710f, 0xd209c076, 0x1609ae29, 0x72f7e50f, 0xb43a972c,
+    0xdd9a63d4, 0xf5fbc398, 0x8a216e1d, 0x1ba6b722, 0x2f90a48f, 0x836182d6, 0xbf88368f, 0xb53f4d0a,
+    0xa5865dba, 0x4ce68fb5, 0xed1ac686, 0xec0005d2, 0xa4352809, 0x70871715, 0xdc587d7a, 0xe1434af4,
+    0xb89d7b85, 0xf0fd5edc, 0x61680e27, 0xaa573828, 0xd1f4c1cc, 0x771cdeb9, 0x9a924fcc, 0x5b4f7ada,
+    0x2d39d5a3, 0xe2ce159b, 0x61e6dfa3, 0x96a6f804, 0xd2fe4cd0, 0xc5be6792, 0x3f663478, 0xabb54cd6,
+    0x5de55275, 0x20fd4f01, 0x0fe3de40, 0xe2871f61, 0xbc1a007b, 0x88fd0f8d, 0xc39743b1, 0x1542c334,
+    0x9f92b216, 0x1061baa5, 0x20d0a8c1, 0xeae0b513, 0x936d0e8b, 0xf6bc4137, 0x799d19c2, 0x33811bf5,
+    0x400657e7, 0x7d30b68b, 0x626e0c91, 0x5a9e365f, 0x753ffb0c, 0x5f204a90, 0xac5b3427, 0x505d8148,
+    0x8aeeb3e6, 0xd6910c36, 0x74ddb971, 0xb809b457, 0x112bb7ec, 0x22b536cf, 0x6cbe169e, 0x9bcc9b01,
+    0x574b45a0, 0x7e9f08ee, 0x18cc429d, 0xbd820854, 0x0d8101d6, 0xc1df9a0f, 0x2c906599, 0xcebdf01d,
+    0x38c7da9c, 0xfce49fc9, 0xe4b2ed9b, 0x988cee23, 0x3806eba0, 0x436a3556, 0x6097c450, 0x29642c7e,
+    0xacab89d0, 0x252f1b67, 0x9905b963, 0xc0f00238, 0xdbd8d9bf, 0xafe34d96, 0x7a430ed3, 0x082f6de3,
+    0x050747f7, 0xdee9b4a1, 0xea7903f8, 0xdab1c920, 0x261aaf81, 0xabee98a7, 0x0c5f31c1, 0x42c1014e,
+    0x226bc6c9, 0xe91bd3e0, 0x4a4b160a, 0x5f683bf2, 0x4ac873e1, 0x5a15afc0, 0xb30378f6, 0xc890fcef,
+    0x5c8f8117, 0x18ef53d3, 0x4706c9fc, 0x93ddc2ba, 0x0267b037, 0x2ced38b6, 0x1d3036af, 0x9c40c5ba,
+    0xa106e568, 0xbb9c9d11, 0x8e82298c, 0xb7cc800e, 0xffd36398, 0x879dca17, 0x87159332, 0x4c902436,
+    0x7895e977, 0x05ee348f, 0xf6991ff7, 0x0062e863, 0x1c37e118, 0x396eeb28, 0xde343a9e, 0x49f730b6,
+    0xbb091cd0, 0x47c9d7c6, 0x63dc7d8b, 0xb7b11508, 0xe013ebdd, 0x19ec9b2c, 0x27b4e3e8, 0x3b67b3cc,
+    0x0cebb35c, 0x69dfe276, 0x30d13d56, 0xeac46566, 0xd6d49645, 0x4ca7b40f, 0x6541808c, 0xeff9cbc0,
+    0xd8a64f79, 0x14ee10d0, 0xd155d090, 0xf3437883, 0x487fee88, 0xac3c18fb, 0x23787b86, 0xef3aa8e3,
+    0x8815540e, 0x56094763, 0x2c849ef7, 0xd6a279de, 0x167787d4, 0xa81ab9d0, 0x435e0e9a, 0x89c4fcc9,
+    0x1e4c7a61, 0x04e57c70, 0x2e6b7c72, 0x535bc0e4, 0x7188aa0d, 0xa2227c65, 0xd720bf71, 0x95f79044,
+    0xd168d9de, 0xfeace018, 0x11ef5b12, 0x7e535811, 0x2d3e2d05, 0x489e0b75, 0x9234e105, 0xc7eb2785,
+    0x4ca8deba, 0xa27ffc34, 0xfef49b77, 0x0886c713, 0x5f89941e, 0x2388fb46, 0x8d0c8af9, 0x2a5253bb,
+    0x5a820750, 0x8a82fef4, 0xe1acc43c, 0x78ccd527, 0xa8b6b569, 0x466ab838, 0x291a0585, 0x957fe926,
+    0xa958d2da, 0x480dbd4d, 0x76a68788, 0x849f9ea8, 0x9ac161b8, 0xca135a87, 0x315d34ef, 0x8bf7b336,
+    0xf0f8d6f7, 0xa681c8a8, 0x3ca6946e, 0xb819bf7c, 0xcc2c0800, 0xa594eb22, 0x6f77d2d7, 0xcf5af44a,
+    0x8b984753, 0x30b5936f, 0x64323d2c, 0x1b2c82ea, 0xec12dd83, 0x4525b463, 0xf0e1983b, 0xde787dcd,
+    0x8fa9c495, 0xd85c4395, 0xe7fc08d3, 0xc4cd3d23, 0x7b070484, 0x62f79cbb, 0xbdc2964c, 0x785dda4d,
+    0x944e685d, 0x836efb69, 0xb83ff47d, 0xe133b1ae, 0xd1b59269, 0xe753e401, 0xaa93d812, 0xca2a2ade,
+    0x700b4789, 0x8493b1e7, 0x33c0c8e9, 0x7025b2da, 0x10ccf737, 0xfc4ccdbf, 0x59fb2185, 0xe6da4704,
+    0x4bba0b46, 0x9df5aa4e, 0x58da5b56, 0x2d5b7875, 0x66cda118, 0xf883a285, 0x4a3aa228, 0x24f7f729,
+    0xbc50542f, 0x94df6360, 0x7af007ae, 0x7aa831bc, 0xa5479738, 0x1ae819bb, 0xead335dd, 0x5448fd19,
+    0x40680cba, 0x60671a92, 0x2c2cfbf7, 0x55bdda32, 0x6887ba7d, 0x7c5866a1, 0xf3e3d9f3, 0xf2145964,
+    0xfa39fd7e, 0x3edd9584, 0xab9bcc51, 0x81bece19, 0x211af00b, 0x28f84c5f, 0x22839b99, 0xc881d449,
+    0x24086a47, 0x8a642093, 0xa26a7c29, 0x22fa1c2f, 0x9a7355c4, 0xb9a24a07, 0xa692605c, 0xe8cdb832,
+    0x9a64077d, 0xc8acadd3, 0xdeda826d, 0x498bc85d, 0x59988272, 0xee5ba82e, 0x05c290c9, 0x40b28ab4,
+    0x50a9f523, 0x4ed3115c, 0x5907c2f3, 0x97375637, 0xfb6ccbb3, 0x059c9003, 0x5477142f, 0xc8960fd0,
+    0xdb8a6539, 0xb3755b4a, 0x06588a03, 0x05e1ab65, 0x5d8b96cd, 0xd4af2a3b, 0x24b92ee2, 0xeda66163,
+    0xe376c57a, 0x8ee49bc6, 0x3e408307, 0x0ec8af3c, 0xc738f40f, 0x559445b4, 0xd8a5670b, 0x56022887,
+    0xe8b1ab40, 0x5ca00610, 0x3b41dce3, 0x44ee6a54, 0x6e72221e, 0xd10c11b4, 0x23097337, 0x7e800246,
+    0xb785a91c, 0x1a67d8cd, 0xa0044ac9, 0xf5fd3b73, 0x534e5105, 0xed1c469f, 0x579d8ddb, 0x7fa344a0,
+    0xaaae9041, 0xaacfc3f4, 0xdf826fd3, 0x0df73042, 0x125d65a8, 0xf8b4d98a, 0xed20b405, 0x7779646f,
+    0x4e9f81ff, 0xe8f7eab1, 0x871fb6e2, 0xdd8e6b01, 0x2f787df2, 0x1cb4c0de, 0x3510e629, 0x00639466,
+    0x0039a163, 0x50bb8116, 0x727ac46b, 0x5f30616c, 0xc45cfc97, 0x7981b7eb, 0x8fc5ee89, 0x074ffbab,
+    0x52917066, 0x59ed99ef, 0xd3a313c7, 0xbe1c6300, 0xc1b94af3, 0xfd20ca9d, 0x71d27248, 0xf8a7c179,
+    0x38b06333, 0x862ee416, 0xe8ca33fd, 0xaf0c23b8, 0x81cb2578, 0x16636bd6, 0x901a97bf, 0x74d42728,
+    0xe5bc1942, 0x89d61326, 0x448ff736, 0xd93a05f9, 0x87acb03a, 0x372fc9b9, 0x7ad184b8, 0x318b6243,
+    0xb1e40d92, 0x380fcb03, 0x5ba5305d, 0xcc9a7247, 0xbe2ba814, 0x633ff277, 0xd00869a7, 0x54cc97f4,
+    0x0ad1436b, 0x9c2875e1, 0x6fcbb723, 0xa86ce4c6, 0xf1f7bccc, 0x0af0c0dc, 0x1c8a97c7, 0xdfd7ed6d,
+    0x3911aced, 0x98034448, 0xc583628f, 0x20942ff1, 0xb0f882ca, 0x8450511e, 0xa6ac1120, 0x8c8bb9d0,
+    0xa9123d73, 0xbb339e70, 0x84a1b907, 0x2ca6e04f, 0xb4ce65f0, 0x1d9f3552, 0xe520ddc0, 0x3fd9b8e2,
+    0x67f113cb, 0xfee7c6fa, 0xc8a9c795, 0x02a6fbdc, 0x646b11a9, 0x356f17dd, 0xf6396709, 0xc5a408ae,
+    0xa14c92a7, 0xcfaf7cf0, 0x16e273bb, 0x23c9507d, 0x662485c7, 0xf95a3ecf, 0x094497c6, 0xd2d2cd27,
+    0xaa782771, 0x1d946ee3, 0x9e8b6ba3, 0xfe3f5fd5, 0x935c9846, 0x8ed547a9, 0x42134081, 0x08d34c51,
+    0xa0336fd5, 0x18e26e8d, 0xe3697491, 0xee57315d, 0xcc7d3595, 0xc2f54309, 0xee6263b7, 0x78a05aa2,
+    0x74a1bcae, 0x77d10ad5, 0xe5eb1327, 0x9211ebbd, 0x7be71b42, 0xfe251ca3, 0x5bce8122, 0x625cb2b8,
+    0xe10542ef, 0xcd441016, 0x4a90c6fb, 0x123ff884, 0x9c335727, 0x57ab03c4, 0x36ad6d5e, 0xbf3e6e7d,
+    0x81638eed, 0xed1f1c14, 0xa5e27ded, 0xcff3e4c1, 0x44045c36, 0x4e1406a6, 0xdb595465, 0xa241784b,
+    0xd3490671, 0x1c015fac, 0xa60b53d9, 0xf5272039, 0x442ad503, 0xd2ecc3a2, 0xe4d6a93b, 0x880696d7,
+    0x7d726c60, 0x5e7582a3, 0x5cb3994d, 0x329bf7e2, 0xc6d76a26, 0xd8658688, 0xb5e07565, 0x24c73611,
+    0x1d20df75, 0x5430f8d4, 0x980ae0bc, 0x55de1ed4, 0x34ff5d91, 0xd2272eef, 0x4c35ee83, 0x7e978b39,
+    0x650f694e, 0x452cdb07, 0x4547c7f1, 0x35a7ad01, 0x92c74127, 0x1259839a, 0xb306e0dc, 0xd845fbdb,
+    0x16675de9, 0x96f94c5b, 0x48390a29, 0x07044e08, 0xfab138d9, 0xb221e586, 0xda3a1f8c, 0xa9f54a73,
+    0x7863d944, 0xa9cfa686, 0x95f9bd1f, 0x003232ff, 0xb74b6d07, 0x4b8f1791, 0xb0923e7b, 0x309cde6e,
+    0x5aaaedc4, 0xf333b996, 0x730c41da, 0x228636f1, 0x45be050f, 0x909b0708, 0xd922c985, 0x9a6dd3bf,
+    0xeeb8f53c, 0xde596d12, 0x97729980, 0xbc322d1c, 0x40e7afab, 0x0abe72ff, 0x29ac3586, 0xad3909b9,
+    0x5885bb5c, 0x313e2909, 0xf6c8e593, 0x977449c3, 0xa9f3d21a, 0xf480ceaa, 0xd3fc55a6, 0x89b40908,
+    0x3f2aed84, 0x9a288e5e, 0xf07496bc, 0x114a65a6, 0x641173e0, 0x71b1b5e6, 0xbb1811a6, 0xe78ea2e3,
+    0x5388982b, 0xd39cb97f, 0x236e6010, 0xc058675f, 0xbe12b041, 0x680ea146, 0xdb3718c9, 0xefc141d2,
+    0xe23f6a93, 0xccd8fc9e, 0x40856a1e, 0x7d054cd9, 0x47d20393, 0x1168fb8a, 0x0a87f761, 0x8e55bca2,
+    0x9f116f1f, 0x4ec32dc6, 0x7ea26e0f, 0x6673d208, 0x763684c3, 0xacabe96b, 0x1596280b, 0xebf730ce,
+    0xae8df4ee, 0xf166d0fa, 0x0451caf0, 0xac6c9a48, 0x334320eb, 0x4aeaa5c2, 0x83d5c1b0, 0x058b5d96,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000005339967589802275205\
+                          98755426542388028650676130589163192486760401955554931445160137505740521734144 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80,
+    0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958, 0xb724a9bf, 0xbe8c3d31, 0x7ccd7810, 0xb1157061,
+    0x00000000,
+    0xeb5801eb, 0x877b6ce0, 0xd07d0d7b, 0xab743712, 0xd01dd66b, 0x277eaaa7, 0x4c0b89a3, 0xe4f453fc,
+    0x73589905, 0x6aec708f, 0xaf8c2936, 0x108c0575, 0xd05fb79c, 0xf7121d97, 0xbbc15b0c, 0x1425050c,
+    0x16895975, 0x29956151, 0x49c29711, 0x29fa4a88, 0x57836ae2, 0x5f926888, 0x650dff21, 0xc8f989eb,
+    0xd6f8c9d5, 0x4925e5ee, 0xea8a2e1c, 0x7f05c2a1, 0x6ea90109, 0x35578168, 0xe5e422bb, 0xd4e3f12f,
+    0x021cc24e, 0x0c92ba63, 0x74c5ce2d, 0xbbc0d8c9, 0xbe5ec6ac, 0xc99e2048, 0xfd29015c, 0xc0d20fa5,
+    0x19b86415, 0xcb8d95d0, 0x1ac17235, 0x3785a60d, 0x0c0845b9, 0x546482c1, 0x2715113b, 0x0e0b5cb3,
+    0x901d7faa, 0x42f523f1, 0x956f5938, 0x25db6798, 0x330caa21, 0xd7617a94, 0xd51254cc, 0x3f909f86,
+    0xfc99e023, 0x9d2f52f4, 0xc5e83822, 0xf7c9793a, 0x2d5bab93, 0x8575381c, 0x06bae12c, 0x6457343b,
+    0xdeddcc95, 0x3f85a02b, 0xab195feb, 0x6dda041d, 0x21b0f9e9, 0x2f50979f, 0xd68c232e, 0x8816ea67,
+    0x94493f22, 0x7978e2fa, 0x8941d783, 0x4fecb282, 0x7d1bafaf, 0x0ef99de1, 0x89b5a51a, 0x455aa493,
+    0x2dd6b1c6, 0xa7b8a27c, 0x8d326acf, 0x81238a02, 0x83c30de4, 0x456521be, 0x12778d8f, 0xe1249613,
+    0x00e3864f, 0xa7f9b46a, 0x148ae3c3, 0x6b479ead, 0x261d60b6, 0x74a1c07a, 0xbc5e690f, 0xa44f3efe,
+    0xf33c9225, 0x43fca62c, 0xd7a445c9, 0xdf3f9724, 0x0e8e327e, 0x28db6ca1, 0x095ff55d, 0x9157b1ae,
+    0x88700fb7, 0x37b96934, 0xaae9ab56, 0x75c96169, 0x89bfc078, 0x83a3c5d8, 0xabad222e, 0x806d7a68,
+    0xeca6711b, 0x993ed661, 0xe1e74ebb, 0x53e5bfdc, 0x7c3f5891, 0x9c002a5a, 0x99b57efe, 0xd37bc9ce,
+    0xc32eadaa, 0x29528a37, 0x347f0aa0, 0xcb547c8d, 0x56473c0a, 0x7e1435f0, 0x01643ab9, 0xafb3754d,
+    0xbd60a280, 0x2d200016, 0xc89522e3, 0xb8ab6022, 0xcd860801, 0xd88842f2, 0x3c5175e7, 0x8dbdf15d,
+    0xb426598b, 0xc0b2b0e1, 0x6d3a0cd5, 0xc31140cf, 0xf7accbba, 0xe014667f, 0x97dac993, 0x95945705,
+    0xf3f2754a, 0x1ba3b054, 0x14902d4a, 0x00018a02, 0xae3f4da1, 0x8381705b, 0x163a3915, 0x65854c09,
+    0x5d9651c8, 0x9a8f6bf3, 0xc7edcd87, 0x6ee9c6e2, 0xb035dd2d, 0x33ee33a2, 0x9514b7d8, 0xf72fcc67,
+    0xc382d28f, 0x3d3d8673, 0x43dd69e3, 0x8136bdf5, 0x04913322, 0x1f8ae1c8, 0x3e06c741, 0xf4b46128,
+    0xe4b3bbf7, 0x255a5370, 0x1ea49a78, 0x7b446f70, 0x7375d399, 0x8cf43646, 0x16dfae3b, 0x5bddced2,
+    0x25ac3632, 0x36b7c9a3, 0xcaae8be1, 0x3c164c8a, 0x4fd3c2d0, 0xc9888205, 0xd68ec4c9, 0x049f496b,
+    0x8e837bda, 0x72e24017, 0x479215d8, 0xea3494ec, 0x2e672855, 0x595773e2, 0x93e63c3c, 0xf0b1f817,
+    0xce6bbe26, 0x6658cce6, 0x2762960d, 0x9d9da6ba, 0x9ce51cdb, 0xd7032cf0, 0x522795ea, 0x38d25735,
+    0xe873d5ed, 0x52ef4a45, 0x33e08f1e, 0x699fe1dd, 0x7856e4e4, 0x29435508, 0x7d45666a, 0xfdb43cb3,
+    0xe006cbef, 0x19397e5c, 0x5e6cc453, 0x7cdacd9b, 0x9a408017, 0xafca9293, 0x4f948be4, 0xc8789ace,
+    0x479134c1, 0x804e2b7e, 0x6c4978cd, 0x3744b9da, 0x027bd4d4, 0x73520f55, 0x00a299f1, 0x64fa91f3,
+    0xab2b6988, 0xeef17e34, 0xf0d87b03, 0xf2b42dea, 0xd457ee8b, 0x45939ee7, 0x7f63c388, 0xcf29cb4d,
+    0x7280f087, 0xa1d79537, 0x9cca695b, 0x6e6684b8, 0x8c8ce3f4, 0x234b490a, 0xfc46df40, 0xf88fcab8,
+    0x48087b3e, 0xf5ce4ccf, 0xa9a3f9da, 0xd8d61c85, 0x4a8a2f72, 0x92451e21, 0x680aab83, 0x453180df,
+    0x4eb180c3, 0x4c51fd29, 0x7329c776, 0x8d4e48a4, 0xcfcd8c08, 0xd46fe276, 0x91d79808, 0xac223eb7,
+    0xf2b60c10, 0xab501983, 0xc50c8dc7, 0xdb267d5a, 0x3a582c83, 0x6d7312df, 0x33169b07, 0x9fcd91e7,
+    0xa6de0a0e, 0x0725afa4, 0xe9da5e6d, 0x59e572a2, 0xe244005e, 0xa2ef816f, 0x5c77398a, 0x5c58f927,
+    0xc4dbbb08, 0x18ed6626, 0xf8c75dda, 0xd2871ccc, 0x20c13085, 0x18179dc4, 0x9d604eb7, 0x71bf6730,
+    0x5e51e1d4, 0x0eb49485, 0x1320bc89, 0xbf225942, 0x0fd8b61a, 0x911e2ee6, 0x2b48e6ab, 0x37fbc9eb,
+    0xc67e04ed, 0x6e3d5668, 0xf2c1d5aa, 0xd45fd7fb, 0xc6322913, 0xacc17f95, 0x9161366c, 0x8d1726c2,
+    0x1ec74f42, 0xa8a7a730, 0xfbef3e1f, 0x1fc54026, 0x7bafe0bc, 0x5673da5a, 0x0049eefc, 0xfedc0526,
+    0x0eadc126, 0xbfdd67ae, 0x77558d88, 0xf95fd61d, 0x05feef5d, 0x9766b578, 0x63d6b4a0, 0x774cf3e1,
+    0x57d82c7f, 0xe97c0679, 0x47bc2e24, 0x251a74dd, 0xf6f6dbc0, 0xcd5eec89, 0xe34f6f59, 0x95f2c51d,
+    0xc462a3f0, 0x6995e8d6, 0x0f903634, 0xffa283c5, 0xa5aae72e, 0xfd23fb22, 0x84bd2da2, 0x107a00d9,
+    0x8797ae96, 0x109ccda5, 0xfe5d3d44, 0xd022d431, 0x0a608984, 0x423527d1, 0x98993837, 0xc6e276f8,
+    0x5cbb3077, 0x2d0acc53, 0xc5a1e56e, 0x747d1870, 0x164b6d43, 0xde014495, 0x59ba5688, 0xa3e075c9,
+    0x34a8708a, 0xadc34550, 0x2d9bc8ce, 0x2956934a, 0x9aae6042, 0xc86c1d72, 0x76b3f907, 0xa72dbaa9,
+    0xfb2ffd0d, 0xaeec0321, 0x5467e3a9, 0x2826aa4f, 0xfe5b15e8, 0xe8c06db2, 0xea5e9067, 0xb12c01f6,
+    0x77f0596d, 0xaf7152d5, 0x406b84f9, 0x7b0d89f5, 0xc63568d5, 0x86c8e149, 0x519e4876, 0x3b60be2d,
+    0x7cf6bd5c, 0xfd22bd22, 0xe5dea9f0, 0x3276ce47, 0xe0a4b032, 0x68794145, 0x47bb304a, 0xbed350b3,
+    0x0241a0d2, 0x8757a3e7, 0xe9ea972a, 0x64a9ac1e, 0x8663c356, 0xbbb91f53, 0xd8a645f1, 0xeec0aaa1,
+    0xf7b0b3ae, 0xd206b012, 0xb6f8877b, 0x8c99ddff, 0x3e5cc562, 0x6d199cc2, 0x41e47aef, 0x3a332702,
+    0xfeabd1b6, 0xe23cf3d3, 0xd5cbe299, 0x57e4938f, 0xf3f59ba6, 0x08fa42d6, 0x1408f7c9, 0xab571e0c,
+    0x92fc2295, 0x43958034, 0xec828436, 0x202a9677, 0x217d261f, 0xcdc44216, 0x97a19fcd, 0x4324307d,
+    0xe119fc1a, 0x877500c2, 0xe9ee4b99, 0xed71fc4c, 0x00512568, 0xec6022e4, 0x536535f4, 0x3a773683,
+    0xe5745124, 0xbf5d2d9e, 0xffc72f5d, 0x3e62f8b9, 0xc4e659c0, 0xfa778930, 0x3309a77d, 0x9c3401ac,
+    0xab77fca6, 0xf3ce8171, 0xc9102279, 0x05b118c1, 0x18976aae, 0xa607e0ed, 0xe1454ee1, 0x6955836e,
+    0xf99761d8, 0x14d0bdf0, 0xd276413f, 0x178b6f02, 0x686e7634, 0x898858cd, 0x2bac29c3, 0x17d0e964,
+    0x51b38b6c, 0x798329e1, 0xf413da80, 0x06a33834, 0xe878a901, 0x743a0504, 0x89a259ad, 0x12bba3df,
+    0xc2efd6af, 0x4984e8a2, 0x818055e4, 0xe1f516d8, 0x226d1e58, 0x550f6e90, 0x596734cf, 0xa33cad5e,
+    0x42aca620, 0x412f9343, 0x0743c3a3, 0x144bec10, 0x0057f7dc, 0xe0d77863, 0x8135a7e5, 0xaa978a87,
+    0x90464f7b, 0x17811f99, 0x23ab8a9a, 0x4e5a8023, 0x9b5ee797, 0xc0f19430, 0x259c0ab7, 0x425b5874,
+    0x80d12cf7, 0xe9223547, 0xfaf723c5, 0x6ca317b3, 0x7703899e, 0x90cd316a, 0xf630ba30, 0x06cf8709,
+    0xcb5460dc, 0xcdec8744, 0x146d3c1c, 0x3acd0c7f, 0x0433d0e1, 0x8a71cc82, 0x23ff1514, 0x8699f4c7,
+    0xecc72f8b, 0x50e5cb96, 0xec1bfb33, 0x8f1bddcd, 0x29f80fe9, 0xbfdd1d1a, 0x2aa5596b, 0x3f90d09c,
+    0x76706bd5, 0x352a37c4, 0x80a7dc35, 0x712f3a55, 0xebd00130, 0x5f1b1225, 0x49966eef, 0x1d36ae6e,
+    0x1fd9e30e, 0x752887ee, 0x77c83977, 0x971788bf, 0xff5860aa, 0xc11777af, 0x13fbdc9f, 0x47c702eb,
+    0xcce8f6bf, 0x6dac8613, 0x3b38856b, 0xfcd7071e, 0x548d8a6e, 0xcbf32648, 0x905ee4e7, 0x6356a88b,
+    0x26e864ac, 0xa69c32c7, 0xd1048b68, 0x404e619d, 0x9f2ae2df, 0x3eba676e, 0x8995897b, 0x73368753,
+    0x4f7c0508, 0x20c54d06, 0x2c8d88fe, 0x4fc0e37d, 0xb94791b4, 0x10eaecfa, 0xd239811d, 0x9a637fe9,
+    0x58f279de, 0x489f471b, 0x523663ea, 0xa83d22d0, 0x02bec85a, 0xaa012f85, 0xdcad2905, 0x294696cf,
+    0x8b0db85b, 0x0f97c92d, 0xeedce87e, 0x3395f8de, 0x7d19e196, 0xb4719b93, 0xe5933a4f, 0x08c6c84f,
+    0xbb926058, 0xb773e05e, 0x46c4ea01, 0x8d487bd9, 0xf20408ab, 0x1fdfba31, 0xf59fe2f0, 0xe449fa81,
+    0xe1278b3e, 0xaa6730fe, 0xb875126f, 0x46e8c140, 0xf098b2a2, 0x9a008b89, 0xfffed58a, 0x110eacbf,
+    0xe9ac0a4c, 0x7912b657, 0x2bc035e8, 0xa335a790, 0x7f0b24ed, 0xa8ecb68f, 0x6ec57e33, 0xa8538e1f,
+    0x5cf204d8, 0xc13f1130, 0x659d8737, 0xe745eb9e, 0xe7d9cd84, 0xd4d88996, 0xc3e5fb9c, 0x9fe35dbf,
+    0x8655aaa3, 0xfd6c69f5, 0xf9d6f918, 0xb13ef33f, 0x2aa1a663, 0xcb280bc8, 0x0e0c2ecf, 0x6bbb8367,
+    0x76637d8a, 0xd68b609a, 0xf542f8f9, 0x328050e3, 0xd0309505, 0x172ed869, 0x754677eb, 0x232df2ad,
+    0x87100793, 0xa131ab19, 0xe73edf37, 0x029f55cc, 0x2d2c619d, 0xd5c0d201, 0x6a6c0f0f, 0xcd0e69cf,
+    0x6d8fd33d, 0xcae02989, 0x7c3ea4d1, 0x5c9a707e, 0x08eb8e60, 0xebfa3658, 0x68cbdf87, 0xb012cc08,
+    0x72d24294, 0x85d80521, 0x6fce7ac0, 0x2b314b70, 0x0bebd637, 0xaef628b3, 0xf4becc6b, 0xd9c58d12,
+    0x51c19b5e, 0x75541b6f, 0x3b3fce67, 0x61f58387, 0xf2e3ca0a, 0x874e9f4f, 0xe35a6964, 0xa69e6c5a,
+    0x253ed57b, 0x2e91dede, 0x5d125247, 0x4ca897c2, 0xc6fc064e, 0x50662ddf, 0xac5ae3e2, 0xcc20662f,
+    0xef421354, 0xc9e414be, 0xb1ae19fe, 0xf614b6c0, 0x581f9c02, 0xcff7f785, 0x5a4e2591, 0x652b1eed,
+    0x524c8253, 0x7bfa8973, 0xbec3b8f8, 0x92611a1b, 0x9a741063, 0xd74549da, 0x51fc5529, 0x5a21230c,
+    0x004efbc5, 0xeacf6dcb, 0x3b3df6cb, 0xf491d200, 0xcc77dc3a, 0x5c53914d, 0xe9b1b389, 0x244085b0,
+    0xd7655759, 0x41423573, 0xab5239bf, 0xcd7bfdac, 0x2733ae93, 0x2813ff36, 0x36d9bc4d, 0x6beb53b0,
+    0xb29f956d, 0xe3267381, 0x151de8f8, 0xf1a90f79, 0xb3e57e3f, 0xb310b316, 0x89576032, 0x6ba028d8,
+    0xbca531d2, 0x2f1e25b7, 0x20c90699, 0xacf3624c, 0xa200baf0, 0x69c0d386, 0xf904d093, 0xb91d16a2,
+    0x36c36af3, 0x15e4963b, 0x926b564a, 0xc5001f1a, 0xd0238398, 0x58038a21, 0x64c11fcf, 0xa50a8f9c,
+    0x8cd7ea3f, 0xbeaa36ef, 0xe4a33198, 0x033bcf9e, 0x4280aac1, 0x0a00f02c, 0x2a6e4e44, 0x443a0175,
+    0x026f58e2, 0x16676c92, 0x33f6a978, 0x270a32af, 0xd9e17afa, 0xbfbb47e0, 0xfb443a58, 0x73ed65ea,
+    0x300fca4d, 0xad058cbf, 0x13030180, 0xa9d5eb10, 0xa094a9cb, 0xc3a9aeb3, 0x5d1a0c5d, 0xe80ba417,
+    0xcc9541e8, 0x70cebfbb, 0xf530a472, 0x5ee56fb7, 0x1630aaf1, 0x2276fc29, 0x6abc1ff8, 0x4c3d6eeb,
+    0x535ceeaa, 0x59e4b1e8, 0x75490c56, 0x05bd1800, 0xcff651ef, 0x351f8932, 0x7476b87a, 0xb0498fa7,
+    0xa5ab771d, 0xc8193653, 0xa6e87af8, 0x4b3c9e73, 0x07fc46fd, 0xd37ad299, 0xa1b2fcf2, 0x7862ebbe,
+    0xf80d4f26, 0x07c9386d, 0xc54e6e65, 0x595f60e9, 0x244bf04d, 0xa945df44, 0xedcc954e, 0x4c8d693c,
+    0xccd7487f, 0x5f2defe9, 0x07f1cecf, 0xae5dcb56, 0x90a47015, 0x753a9999, 0x98e1dc44, 0x8f1641c0,
+    0xd6d6694d, 0xa226e33a, 0xe8c20be7, 0xb50ba7b3, 0x9c6d10d3, 0xa8406e0d, 0x2a1dda7a, 0x1645a369,
+    0x6aaa6dde, 0xe192c11c, 0x0852e54f, 0x33bf9927, 0x3baae5fc, 0x058d32d7, 0x0904ca28, 0xce273d78,
+    0x74a72f22, 0xe8a4a9d6, 0xf8d500e0, 0x49422b4a, 0x4941185d, 0xb6c8f95d, 0xf8b0310f, 0xff08b24d,
+    0xb17b3406, 0xfb274d1e, 0xc0c2f6b5, 0x4b098643, 0x88c4efd2, 0x83b3e44f, 0x26a2537b, 0xeb060bc3,
+    0x668d2324, 0x55468a53, 0x4bf86a60, 0x7b9d4ee6, 0x35681c91, 0x774fca2d, 0x4419d4cf, 0xcb11470d,
+    0x70363dcf, 0x0648c45a, 0x4da38955, 0x011df97c, 0x0f83e6a6, 0x6e7920b1, 0xfbf76145, 0x9224db61,
+    0xa62fc858, 0xfa9f5ff7, 0x2775d6f2, 0x51f803d2, 0x57a1b639, 0x8c2e1359, 0xba7f9e50, 0x8768d9b1,
+    0x3ca9bf12, 0x5522b5ce, 0x70b2cd70, 0xbb319079, 0x3dc228b5, 0xc94b98fe, 0x37b24b38, 0x5e8ed6ae,
+    0x57458c78, 0x4eef6b43, 0xacb3825b, 0x2aeb1b81, 0xbfb4ab8a, 0x3b33c127, 0xb7e8d766, 0xe6cc264d,
+    0x84ae7529, 0xb756f2e6, 0x08af1fe5, 0x888e8764, 0x465d4971, 0x20593b6e, 0x33402623, 0x89803671,
+    0x526b301b, 0x2c1ff708, 0xab201aee, 0x5a97309b, 0x29e11916, 0x7537f673, 0xa8b8b71f, 0x18c1080f,
+    0x7f35a007, 0xbb817b79, 0x97bdb0b4, 0x5c2d9a79, 0xf458e69f, 0xdce9ed0d, 0x56dc216d, 0x92671285,
+    0x1c9d3f1f, 0x51f5ca4e, 0x6b25c378, 0x2f45a326, 0x54615276, 0x917aa0b7, 0xfc5034e7, 0x80bd4e71,
+    0xfc23274f, 0x862a944b, 0x6694ee33, 0xaffd6370, 0x26736eea, 0xfc61a407, 0x7551933e, 0xe68c8980,
+    0x48416a1c, 0x16c001a8, 0xa0368995, 0xe36f2538, 0xc5608850, 0x96a9ea2c, 0x3a1e9ac8, 0x376f2285,
+    0x22b20a0b, 0xddb511ec, 0x0f6e7350, 0xce878993, 0x17d74934, 0xfb4f188e, 0x8d5df476, 0xe0d439aa,
+    0x8c76485f, 0x0c45d484, 0x07f087ea, 0x2ceb29e0, 0x8bef44fe, 0xba94f76d, 0x97075bfc, 0x053ae5ad,
+    0x1d5390f5, 0xcfa00e5e, 0xca4ca9bb, 0xfccb0aef, 0xdf707db0, 0x5c2405ee, 0xaff9f9df, 0xb967f114,
+    0xed938c0c, 0xc0a0e525, 0x7f4425b3, 0x6a06fa0e, 0x75ab7ddb, 0x04bb365d, 0x753d02ad, 0x538e343e,
+    0x2c950fad, 0x731239c2, 0xcc44237b, 0x64612d82, 0x70105e50, 0xf0c9e553, 0x1c4fc8bc, 0xc6979c9e,
+    0x74468669, 0x006e0cb9, 0x24a8088c, 0x112da77f, 0xd283e930, 0xd8e136f9, 0x13ffc783, 0xc9af6e58,
+    0xaa53321b, 0xe03e228d, 0x7573bff4, 0x29ce5133, 0xb9b0c9ad, 0xf6d18a04, 0xe8e7763c, 0xaaa37e87,
+    0xa4e84de3, 0x684de24e, 0x40a3a79e, 0x9fdf94da, 0x8de9e8da, 0xa49c8b49, 0xdc2a94da, 0x1632e4dc,
+    0x0441df6c, 0xd2dff0a7, 0x5bbb6a49, 0xa5fc9006, 0x6b6e0de5, 0xeb475e84, 0xcef35165, 0x2239ef23,
+    0xf36760dc, 0xf34cefb8, 0x0f94f063, 0xe913207b, 0x8dab5bab, 0x7df16448, 0x3429ad2d, 0xae7c51e0,
+    0x7123a5b1, 0x687b262a, 0x277a99f5, 0x10ff7ca5, 0xd85409ce, 0xafa394e9, 0x044ee580, 0xce4828de,
+    0x44c06cd3, 0xb5042eb9, 0x8d060c57, 0x9c1fb327, 0xb8e5b2c5, 0x75cc81a1, 0x786393a5, 0x282fd51d,
+    0x0538c1b8, 0xe83fbe76, 0xff240aa4, 0xecc34d57, 0x2a3a91aa, 0x9e89fbb3, 0xbc0056f9, 0xa0f45859,
+    0xed7a0161, 0xb4e33e4a, 0x3391bbcb, 0x1a8cbc6e, 0x3788df73, 0x75086055, 0x7ed3a566, 0x0f702ad0,
+    0xed98f9f4, 0xfd3e83f3, 0x2cbb576b, 0xdaf83425, 0x647ecf7b, 0x88676e6b, 0x47af7c6c, 0x0ec74db6,
+    0x27edae72, 0x7b39217d, 0xff5dd36a, 0x8153dbd6, 0xfdaf50db, 0x314bff1f, 0x3241ee45, 0xc8da9928,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000002669983794901137602\
+                          99377713271194014325338065294581596243380200977777465722580068752870260867072 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40,
+    0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e98, 0xbe66bc08, 0x588ab830,
+    0x00000000,
+    0xad900bc5, 0x31d5e809, 0xcc7a09ca, 0xad3e22c5, 0xb7525ffe, 0x4462aff4, 0x53657611, 0xd913d34e,
+    0x6a66732a, 0xdfacbead, 0xde5e8224, 0xca4e990a, 0x28489426, 0x82e29253, 0x5f2e22e6, 0xf6afab91,
+    0xd0677196, 0xcfd81929, 0x61a26b6a, 0xc3a1bd1e, 0x4ed293cb, 0x377b5cf2, 0x0851673a, 0x49e9933f,
+    0xb95fb6df, 0x53b42e0c, 0x2cece827, 0x793c01c3, 0x6141493c, 0x91bde381, 0xdee1471a, 0xd22f3eae,
+    0xb91fdafd, 0x001836ec, 0xa7f9e6ee, 0x4b13f42c, 0xe4ea1ebb, 0xebd15632, 0x8d6a9181, 0x7f617163,
+    0x93522594, 0x22258c45, 0x577eb93a, 0xa70dcbac, 0x20113563, 0x732bf8a2, 0xf00047bf, 0x0ccf0fb1,
+    0xe62cfc72, 0x4cd54843, 0x58244fe9, 0x26efb598, 0x7d95d657, 0x3a6f9ef1, 0xa79e26dc, 0x1e1b03f0,
+    0xa839e9f6, 0x912b2e17, 0x3080a59d, 0xdae8a020, 0xff9bff9e, 0x249929f5, 0xcecfcb9f, 0xda9312f8,
+    0xaf068f75, 0x3605570f, 0x83005756, 0xeebeee16, 0x223f8ff4, 0xda877565, 0xca667056, 0x08568187,
+    0xdd17d65c, 0x50ec3c2d, 0x45df4533, 0x63e017e6, 0xb8bccbc1, 0xac867f86, 0x8a5b31a8, 0x963297ef,
+    0xe66e46f3, 0xd21ceaf8, 0xc6a883e2, 0x32434f0e, 0xc5b33a2f, 0x93d65924, 0xf9b8863e, 0x1e87b5dd,
+    0xc215cf6e, 0x9a15f72c, 0x03226d45, 0xfd31a5c5, 0x40054eac, 0xa994a78a, 0x434ba04f, 0x17fdff83,
+    0xcf97d902, 0x32751790, 0x373000ec, 0xfda8b803, 0x513a83fc, 0x53fef8b4, 0x4edcac3e, 0x0660f0e2,
+    0x882038ce, 0x89bc77c6, 0x2024be21, 0x1b094758, 0x24bbf292, 0x2133fcdb, 0x54c1dd9c, 0x027c857f,
+    0x1c3a2812, 0xc6b41546, 0x3dd11c32, 0x95a38674, 0xcffada07, 0xfd3b64f0, 0xcdd5af7b, 0x03f87fbd,
+    0xc3711483, 0x2ebd387e, 0x4fc905a3, 0x6db67345, 0xa6fa7277, 0x2ed7d958, 0xb692b6bb, 0x4bbadbef,
+    0x3af369a4, 0x1522d37c, 0x1b4c876b, 0xbcc2f5fb, 0xb46efc58, 0xae10163d, 0x93d7dc9a, 0xf2d6a192,
+    0xa4b288dc, 0x21c655e1, 0x4bde1692, 0x4066bc53, 0x76aa27e6, 0x6ad7a6e3, 0xff02313b, 0x61662276,
+    0xcc377373, 0xd4dcd15b, 0x333ccba6, 0xcbbbf706, 0xcffa27c3, 0x54441e71, 0x3adbd989, 0x472f1457,
+    0x965f25f1, 0x64b1afe7, 0x7692ff9c, 0xb3fdb2d2, 0xac32e3de, 0x9db3a429, 0xff6db061, 0xe381ca24,
+    0xcfba323a, 0xac4e70d2, 0x90d141d6, 0xfed0ca5e, 0x41c79eee, 0x847546f7, 0x780b78a0, 0xf558f30c,
+    0xad5b2881, 0xfc31a7dc, 0x7057fde3, 0x8f33d7ec, 0x834c31e2, 0xbaf1b643, 0xc681ceef, 0xa847909b,
+    0xc3e8337a, 0x6e030e49, 0x9031fe37, 0x96989602, 0xd73f83f7, 0xdf568565, 0xec82c902, 0x7d6c945b,
+    0x2de32293, 0x2acd507e, 0x9eaaa836, 0x0e8e5a5c, 0x0da1e39f, 0xba46458b, 0x2fda7562, 0xebcac826,
+    0x71a5b8ee, 0xebdb4f91, 0x659c294a, 0x706f8a7d, 0x629109d5, 0xedfaaa71, 0x91501447, 0x8e226349,
+    0xabf9d3eb, 0x96eed985, 0x21d75654, 0x364d0b1c, 0x564ce133, 0xa2c7dea9, 0xf73f83e9, 0x601d018d,
+    0xa86b0b95, 0xc535e9c1, 0x0286d2b1, 0xe53e9467, 0xe116c484, 0x0a142861, 0x4bc56257, 0xc5ca10ed,
+    0x76410453, 0x85be26f1, 0x2cd998ba, 0xbc42b15c, 0xf3ffcedf, 0xf339ffc8, 0x0d3fbf39, 0x50bce89f,
+    0x10e4b0b5, 0xe7a1c8c9, 0x35e4fb34, 0x145ec989, 0xc72b73b4, 0x5ce8d340, 0x82329891, 0x7feb5733,
+    0x50c9e28f, 0x85d2670c, 0xe5c7e438, 0xe5318ccf, 0xaf1448e9, 0xfc03aa6e, 0xaba22521, 0xd80794af,
+    0x7a0fce06, 0x30ac185f, 0x3a33fb49, 0xa45eadee, 0x0bf2fe06, 0xe28cb393, 0x59a407d3, 0xd47c1c1b,
+    0xc416d06f, 0x3bbb6840, 0x136cd63a, 0xcec83309, 0xb6792add, 0x4b0a40c8, 0x8f97324c, 0x44c55006,
+    0xc264ea99, 0x2b95a8af, 0x855ee765, 0x0dc0df41, 0xeb2708b4, 0xd2e7dd79, 0x81efc171, 0xa8b70afe,
+    0x379ee667, 0xf2ce3ee2, 0xf9236539, 0x68306261, 0x9635c5bc, 0x380b961b, 0x92e8acdb, 0x26dc9057,
+    0xebf90771, 0xda75ba24, 0xea034761, 0x12caf388, 0xfa2413b2, 0x6e73dfe9, 0x128c0aa1, 0xd5ab0cf8,
+    0xf74d0375, 0x8896ee02, 0xc936955a, 0xcaafe5b0, 0xcf931e74, 0x7c7485f2, 0xf72f6e87, 0x1dfb2c51,
+    0x368f34d0, 0xdce1a90b, 0x188bfd05, 0xbe19251f, 0xe2faa268, 0x161f45eb, 0x84dfb31a, 0xe897857e,
+    0x3c42678d, 0x79815d57, 0xd65e1f37, 0xa65f277e, 0x961d11b0, 0xa78ffe0a, 0x6b56d546, 0x9d12551b,
+    0x45c325a1, 0x52341e01, 0xc720f37e, 0x785ef7fe, 0x7094fb8b, 0xe0c989ec, 0x51c5ff5b, 0xaedce1cb,
+    0xaa56363d, 0x89f1cecd, 0x09d4c9cf, 0x1f2ca3b1, 0xfaef5af7, 0xe022d595, 0xfe864cdf, 0x2fddb11c,
+    0xa34f05e9, 0x7c9f01ca, 0xa2879e33, 0xbce6d2bc, 0x8108049e, 0x17d228af, 0x1a17babe, 0x773641dc,
+    0x9e54eab2, 0xad87c015, 0x2a0a3d2b, 0x8cdc53db, 0xb167ef8d, 0xf479377e, 0xb1068b54, 0xd7b8178a,
+    0xc35cf32c, 0xde4ce219, 0xd6c79684, 0xd181b68a, 0x57385afe, 0x082827c0, 0x1841f04b, 0x64e6b23e,
+    0xb32950e8, 0xe394a4a8, 0x5157940b, 0xffcc52ea, 0x8fa62142, 0x557d92db, 0xec3155d8, 0x8b19394d,
+    0x4a32e9af, 0x9af118eb, 0x17054919, 0x61c56e8e, 0xead43d6e, 0x250241df, 0x22383623, 0x9a5c2d59,
+    0x4fed2926, 0x61acd94c, 0xa6fe946b, 0xfa3a5a8f, 0x145b9c31, 0x26f16ad7, 0xf67d6f77, 0x6d9295eb,
+    0x80c7c612, 0xdb526165, 0x9ed931af, 0x4f03c202, 0xe76587a1, 0xd3242e78, 0x7028c591, 0xeaa6339a,
+    0x243d548f, 0x9b5d8d3a, 0xb694275d, 0x8fe548c1, 0xddef07ed, 0x37385c2f, 0x1330fc91, 0x8e81f94e,
+    0xacf4cac0, 0xfe3fa9ad, 0xf9b80f2f, 0xa5809da0, 0xcb7dce90, 0x80ca3703, 0x5adac9b2, 0xe0fddf7c,
+    0x10a1dbb3, 0xfa79285b, 0x20f7ca68, 0x292116ed, 0x1be7569f, 0x388928d7, 0x23315a05, 0x8815b01c,
+    0x6130affb, 0x833bc226, 0x20352c05, 0x48590b8e, 0x541d1c84, 0x0268d551, 0xcef7d563, 0x51dd8575,
+    0x0903812c, 0x51cf9860, 0x2c27e942, 0xf74c8f87, 0xbbfc3806, 0x0b22ffcc, 0x6c7a0e44, 0x0b3c8554,
+    0x292722c9, 0xb7e45055, 0x82636493, 0x0a9cb79e, 0x07dcc73c, 0xba949a1e, 0xc5615ac9, 0x3a1e173d,
+    0x3f329350, 0x138f0735, 0xf8a4017f, 0xc5468a80, 0x1601f11c, 0xc86ef234, 0xb164e817, 0xc09736c5,
+    0xc4bf461e, 0x8f661e30, 0x1b2b29de, 0xb24ba555, 0xfa77a1d8, 0xc6ffa343, 0x4e8e82ef, 0x5d0b2069,
+    0xfe56825c, 0xb52dc39d, 0x9153d820, 0xaa2757af, 0x04d41cd5, 0xa0d54452, 0xc225ab4e, 0x1a143366,
+    0x277d60da, 0x7011a709, 0x4ff35274, 0xa2f4609d, 0xfcb1d9e3, 0x60546732, 0x252501c5, 0x6e3a559c,
+    0x16f9f7be, 0xe20b88dc, 0x8e76790f, 0x328d7d15, 0x1c1c2717, 0x19d750c9, 0x6889dcd0, 0x3eb7cd2b,
+    0x2e5c586c, 0x9f0ac7bc, 0x3ad37b48, 0x0408bd1d, 0x976b2563, 0x053676a1, 0x078b9cd0, 0x7874bf84,
+    0x617cb16a, 0x19bd877d, 0x8b67f606, 0x117fd5fc, 0xca403df7, 0xb6d1ff89, 0xe7f96724, 0xf46e65bd,
+    0x21fcfbf3, 0x8cccbc3f, 0x86147e93, 0x0d18c475, 0x3a970cdc, 0xf718b3fb, 0x2e218e55, 0x785c4065,
+    0x64278325, 0xc79621b5, 0x651d661e, 0x58fb87b9, 0x90aea218, 0x262c8388, 0x62123202, 0x92c082d5,
+    0x1dc24276, 0xa62cb243, 0x154cc4e5, 0x95052156, 0xc9d6652f, 0x4c80a484, 0x57fe2d06, 0x6bb3eac0,
+    0x2d2d9432, 0x58a83bc0, 0x31507b1b, 0x663e5cd1, 0xb93a5c46, 0x3bac0312, 0x859a882e, 0xdc545f48,
+    0x75a35fad, 0x11feb991, 0x83627105, 0x6f532827, 0x4aba0cb0, 0xb46e6231, 0xf5bc9140, 0x4b9474b8,
+    0xd221c229, 0x790a5843, 0x9aa21a08, 0xf5589f8c, 0x419d8bdb, 0x764dcaa2, 0xa8468cf3, 0xb252456e,
+    0xa7d03a12, 0x1f95ce67, 0xb6de3b2d, 0x34fe9bd9, 0x8994b6c3, 0xcf1bf7cf, 0x79b6f1d1, 0xb571c92a,
+    0x4aa3b365, 0xde3e1b87, 0xcaa4dd92, 0xc3582853, 0x381a355f, 0x0dde3c47, 0x030be45b, 0xc051d1bf,
+    0xbf2ade51, 0x744dcf58, 0x04401087, 0xbefa0327, 0xe8ac22ef, 0xd1759e23, 0x5425bc2f, 0xdf195719,
+    0xa7c7871f, 0xca6acd65, 0xc27af421, 0xb6a06c65, 0x15aea4cd, 0xea60c349, 0x323f4ba5, 0xb04f83d2,
+    0xb887786a, 0x1ffacb74, 0xda75d112, 0x12dbd7a0, 0x7dc21288, 0x5f430a93, 0xc25cdc2f, 0xa69c41c1,
+    0x738908cb, 0x78f1d861, 0xec984dd3, 0x78add07c, 0x13c8bcfd, 0xa3291b86, 0xdff0147e, 0x6a79a801,
+    0x0655225a, 0xfbe566c3, 0x5d3f473e, 0x070684e7, 0xf69231d2, 0x31f82358, 0x71641316, 0x9e179d86,
+    0xb2b55020, 0xbf3e16b3, 0x7a47d477, 0x3289b100, 0x711a45fe, 0x002c3dd8, 0xde0e243f, 0x01de059e,
+    0x903d067d, 0xbe695453, 0xf9c31391, 0x0beef238, 0x47be88aa, 0xd1321eca, 0x19b113a8, 0x46438897,
+    0xff519982, 0x4ca4d768, 0x66ba57a0, 0x3812eb9a, 0xf127e2ff, 0x2a7e50ba, 0xc709fab0, 0x45fceb25,
+    0x2a00ae5f, 0x803ecaeb, 0x14972c04, 0x30a4ba05, 0xddbd8703, 0x5464cbdf, 0xcec7a2a0, 0x4d9d5512,
+    0xbb665fae, 0xbd7d7b07, 0x5942d030, 0x016f8bb1, 0xc843271b, 0xb724d03c, 0x2c9b75d5, 0x905e9a14,
+    0xe54f3367, 0x233b7181, 0x6224dae0, 0x39a2846a, 0xe7ba564c, 0xa8b269fc, 0xa9ce8ffc, 0xaadbabbf,
+    0xb0f17960, 0x05d5eb84, 0x9a48fbfc, 0xcf3210e0, 0xdd10241c, 0x4500713d, 0x6268738a, 0xc549ed15,
+    0x1087c010, 0x46cf96a0, 0x9fb1fe09, 0x62f85987, 0x3d52e177, 0x06a79e95, 0xbcfd63a7, 0x8d6a4399,
+    0x843fcc7a, 0x0f411ea9, 0x959c3147, 0xf9b6c095, 0xfb194e5b, 0x1e565ca7, 0x993722c9, 0x2bbf3a91,
+    0xc877ace7, 0x31fe4d69, 0xa79cae3d, 0xa28838f9, 0x6f36632b, 0xca287f8e, 0x3d835b8f, 0x8afcb675,
+    0xec756c25, 0x587546f8, 0xfd9801c6, 0xbb4d052a, 0xaf6c8cbd, 0x53477c5f, 0x86c12fcf, 0xa0cec28d,
+    0xf41fae1a, 0xd539ee50, 0xa67fdbe2, 0x03011470, 0x772ee78a, 0x02cf4dfc, 0xe94cd662, 0xfc08691e,
+    0xdc1ee257, 0x81c02c20, 0xaf1f295e, 0x410fbd4a, 0x4e27f1ac, 0xf1066377, 0x6d605d49, 0x3ab50e66,
+    0xe1d80663, 0xde1a5cf4, 0x766f3b99, 0xb45cae7b, 0x58934b2f, 0xefbe8893, 0xee6d4df7, 0xfc856b31,
+    0x1deaa63b, 0x944d277f, 0x761f3644, 0xee2abdda, 0x716e8351, 0x1390c0c7, 0x70f488fd, 0x86dad047,
+    0xe0b9773b, 0x3258ebb8, 0x4db29980, 0x0cfa6190, 0x156573d4, 0xfa4a827d, 0x07b13077, 0x84341f00,
+    0xe994d408, 0x1f0fe363, 0x77411a50, 0x8efb9b77, 0x4096503a, 0x19fd9450, 0x9dccf16c, 0x731cee3a,
+    0xf53737ab, 0x8272c7c7, 0xede8a0a4, 0x8b30b6fb, 0x21be2628, 0xfdc330f4, 0x3d5a5a9d, 0x2342d82e,
+    0xad0f6c8b, 0x478e4c28, 0x9ca84b67, 0x8adc25b9, 0x8bd1ad65, 0xfb2009bc, 0xef804e6f, 0x020de3b3,
+    0x4211003a, 0x33adee1f, 0x503a6131, 0xfa33003a, 0x480931e7, 0x7566b2ba, 0x87c353cf, 0x491c4df9,
+    0x538b5f5b, 0xe353f384, 0x85116512, 0xabd86800, 0x94241a25, 0x53855c9d, 0x77d42564, 0x00a5bf01,
+    0x4c8cf9a0, 0xcceaed43, 0x949b44d2, 0x37791a19, 0xd5e5c885, 0xda16d655, 0xfa84642c, 0x550b3e70,
+    0x700ac31e, 0xb01d248c, 0x5e874d61, 0xf89a1605, 0xef4a4607, 0x1ffa2df1, 0x6f22db01, 0x769acef1,
+    0xba528b8d, 0x6d3c7e50, 0x5d26a400, 0x092d0afd, 0xc2df722e, 0x8982ddec, 0xbca554fa, 0xdef99008,
+    0x0a16188f, 0x39e165bd, 0xd304586d, 0xa34f838f, 0x7a3a9a0c, 0xf9ac5470, 0xce014c99, 0xf3e4df91,
+    0x58fbed61, 0xdc73f466, 0x19e1b268, 0xacbdf224, 0xc3d039f6, 0x99139b1c, 0xb80784c0, 0xbb3aff51,
+    0x5f4dda9a, 0x7fc4f77b, 0xc9fa744a, 0x091745ee, 0xbd80b953, 0x3586d6ff, 0x555aee7d, 0xf6fc2ad0,
+    0x90bf3a67, 0xa8f1a75a, 0xd8dacfc5, 0x939c95d5, 0xc010b54b, 0x4caa7047, 0x160e59dd, 0x47107b6a,
+    0x877e411c, 0x1f0f8f08, 0x505ce5e6, 0x32c79cf4, 0x6684fd57, 0x75bcdd7b, 0xd4270d32, 0x7b6ce033,
+    0x5c681c9a, 0x1119723f, 0xea86259e, 0x9c903547, 0x0ff36154, 0x7fc5dab9, 0x5a20bf05, 0x6b727301,
+    0x5ff69a39, 0x2303c704, 0xbdf746c9, 0xab27c503, 0x381beafd, 0xc0d3af58, 0xe98433bb, 0x6e26f85d,
+    0x993b5855, 0xed70a651, 0x36a51712, 0x1761a575, 0x052a7b89, 0xc10a82a2, 0x07a8150e, 0xe95ac8c1,
+    0x51021a5d, 0x2116fd2e, 0x6ef9bb06, 0xe5933d63, 0x344187fd, 0xe73b0f5e, 0x9159ad52, 0x253b93d8,
+    0x9488d575, 0xd3e6f32d, 0x1a848e89, 0x86144551, 0x13395fe2, 0xc9926b8b, 0xfda842b8, 0x1a62a02a,
+    0x87e8e66a, 0xaf9955a1, 0xbee9a086, 0x7feda488, 0x7563bdc9, 0x84f0cc2f, 0x52f7e520, 0xd2d70cdb,
+    0xca60c488, 0xa21c3281, 0x7b39da55, 0xff1f9398, 0xa449cdd4, 0x8e607f0f, 0x31579923, 0xf7b5fa9f,
+    0xc65e178a, 0xdfaa9b45, 0xfa5064c6, 0x6572a3b0, 0x89bff015, 0x3e809e54, 0x7e68aeed, 0xd0ecdba7,
+    0x68bc15c4, 0xcb3aec54, 0xfbe97851, 0x4a367b32, 0xb205733e, 0xe3fd0554, 0xaa7511d4, 0x69c51607,
+    0x8527deea, 0xbeebca65, 0x6c95d9e8, 0x27021b12, 0xe3327fd0, 0x5cdde4af, 0xa266843b, 0xe054225f,
+    0x17914574, 0x45d6ccab, 0xe39c5368, 0x3958d647, 0xe32a1fd6, 0x60d66014, 0x42d342b7, 0x06ac34c7,
+    0x6c0ae6a3, 0x0f1de24d, 0x071b564e, 0x3c6f3f7c, 0x163de889, 0x448815e4, 0x639a8578, 0x01691724,
+    0x3bc42e67, 0x2ae46ebf, 0x620373d9, 0xa656cafc, 0x39eb2268, 0x1f3d69ba, 0x1d107802, 0xe329ff6f,
+    0x2b6c9c42, 0x3c0e6eb3, 0x54733d2b, 0x9ae68029, 0x0dc9ddbf, 0x5b2d55b3, 0xc09ea1d5, 0x93746e8d,
+    0x51c49c20, 0x3a33c568, 0x7643619b, 0xb9c16a26, 0x89c499eb, 0x90dc06d2, 0x5c07cb0f, 0x7d574167,
+    0x41e9b7ce, 0xac4d4e0d, 0xa826de2b, 0x236b8294, 0x1cfa05dd, 0x1c9b1fe3, 0xd5c08b87, 0x876bb015,
+    0x220eddf2, 0x4f08fbc8, 0xe250f421, 0xbf65837c, 0xb1d1e73f, 0x95a88bec, 0x4434ebad, 0x1202d488,
+    0x864dc239, 0xc58457f3, 0x0b7edf54, 0x1c63643c, 0x9cdbbc26, 0xd59413d9, 0x93f465db, 0xe95a6dcf,
+    0xa5fb1746, 0x1b3fb0a9, 0x2b656f0d, 0xeb26d086, 0xb3627aa3, 0xc9ded68a, 0x31f58f48, 0xb6e89833,
+    0x0e508b7b, 0x4c91d040, 0xe64b93b4, 0x86f4bae3, 0xeaa8875b, 0xcaee7bec, 0xa9099b27, 0x9e7cd192,
+    0x7dbed7d1, 0xa3ee5f59, 0x7626a2ac, 0x7e9e48fa, 0x23a33894, 0xe2e57811, 0xf1b82143, 0xac2c6f89,
+    0x0710aeb0, 0xf9a8b416, 0xa8f81ab5, 0x1f5dea74, 0x86cb1b3a, 0x4dbbdb97, 0xcfc4067f, 0x8d6cfd0f,
+    0xef752da2, 0x9ceaef96, 0x218fd32c, 0x3dec6405, 0xaa411167, 0x634e5e1e, 0x9dd68cbc, 0x4c2b4410,
+    0x83e68fa0, 0x1ae32b27, 0x4f54ef50, 0x094fe45c, 0x945fb9aa, 0x400670b5, 0x4621267a, 0x567998e2,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000001334991897450568801\
+                          49688856635597007162669032647290798121690100488888732861290034376435130433536 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0,
+    0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4c, 0x5f335e04, 0x2c455c17,
+    0x00000000,
+    0xd2ca02a8, 0xd629f824, 0x6bcee7a4, 0x9d29bc36, 0x3bd00607, 0x299e4cf4, 0x3e2e0df8, 0xab7aa8a0,
+    0xccc6815e, 0xd4ed461c, 0xd16901a9, 0x1627c855, 0xef609e89, 0xe4af8cba, 0x5686d824, 0x37b35c6a,
+    0x97a5ad15, 0xec368b26, 0x646ff8dc, 0xcffa7e80, 0xdf345694, 0x200e9bab, 0x8ce627d4, 0x4887093f,
+    0x23457903, 0x8dfd7d28, 0xa271b7fa, 0xf140bbfe, 0xf0c5e62e, 0xeb18c8e1, 0x9368b2c5, 0xa1e38c75,
+    0x87e7f8d9, 0x677b5993, 0xe055f968, 0x61ad3701, 0x5866b174, 0x0a8cc998, 0x441667f8, 0x8fbd4caa,
+    0x76a28731, 0x317d6126, 0xe371aa76, 0xcd0da5e0, 0x0e4ecc86, 0x064e8cb0, 0x844dd1b8, 0x5baef9b8,
+    0xaf61c1e3, 0x323d9209, 0x8c727922, 0xa8c9d557, 0xeffa0bb0, 0xac964d9b, 0xa25b0ca3, 0x8cf5d278,
+    0x8b18a533, 0x08321323, 0xa844c722, 0x2dc4ca39, 0x5ca8400f, 0x99b44521, 0x18e8affb, 0x4ee3ba37,
+    0x735cf765, 0x22ad3d73, 0x2d4b39ce, 0xf45a70e3, 0x71818b06, 0x8379a2a5, 0x6e38ad8c, 0xd4298bdc,
+    0x5347f2df, 0x72642fbc, 0x20d7f28a, 0x8363143b, 0x1e810c0b, 0x6d5834a7, 0xc2394041, 0xdc28a3c3,
+    0x4fbe0251, 0x7f49c06a, 0x97ae271f, 0xbc2e59aa, 0x3489ec44, 0x4c7b9842, 0xd7a60529, 0xdd1e2d0a,
+    0x0c7c0496, 0x55e506ee, 0x62d26693, 0x0bea9fa0, 0x78b63b95, 0xf240b59f, 0x422d42e3, 0xd0349cae,
+    0xdabcbca7, 0xfe5754f4, 0x5c9c1124, 0x875e78e9, 0xddde0070, 0x1ca33453, 0x58a9a45b, 0xcd45af40,
+    0x21d16483, 0x50a634aa, 0x165ed9d7, 0xfbe838ef, 0xb9d41096, 0x54e91248, 0xf44b844c, 0xf59a1063,
+    0x5da778a8, 0xc9aae5ce, 0xab6d20bb, 0xb8c09bbc, 0xd91e9316, 0x7dbd23e9, 0x293a72f9, 0xaf1fe177,
+    0x4a5445e2, 0xc2177bd6, 0x72db91d7, 0xd5890c96, 0xfc9ec318, 0x98905788, 0x525b031c, 0x8f9208b0,
+    0x1e411d57, 0x35b1a81d, 0x55681ce8, 0x6af29181, 0xd1e11461, 0x86cf71bc, 0x93b1692e, 0x9ab75cc8,
+    0xb4ecca2a, 0x45b49ee9, 0x592c4186, 0xe3f40d09, 0xa13ee428, 0x6207ab05, 0xa1834356, 0xf94cd279,
+    0x8bf9e893, 0xe2d0adb1, 0xe9ed5b02, 0x9150f4dd, 0x6ac93215, 0x6270caf3, 0x80a424e0, 0x8c444973,
+    0x0614012b, 0x9dd9155f, 0xf6f27415, 0xd7e8a9a0, 0xea2c2129, 0x34edcb4f, 0xda1b7eda, 0x0d8e1dfc,
+    0xad55d118, 0x46647a3c, 0x4669e44f, 0x2391ea59, 0x6386215c, 0x851cba93, 0x9c618fda, 0x44b4827c,
+    0x47cde13d, 0x2be4fb3f, 0x4f9154f9, 0x8a9ef549, 0xa940dd3d, 0x722ff8db, 0x3b904481, 0x55299bd8,
+    0x9aaf050b, 0x56711e6c, 0xcdbf78bb, 0xd269ad67, 0xdb4c622f, 0x873688e2, 0x8eb7639b, 0xa880c933,
+    0xfd7843a4, 0x10b87d7d, 0x21f2762f, 0x38bf6f3f, 0xb41786fd, 0x0751f92e, 0xe36e0333, 0x8ac9586d,
+    0x87bd4575, 0x0da086e1, 0x61db008e, 0xc6cc5cfe, 0x0e311c6c, 0x8fa7db63, 0x6bd22be8, 0xc9b6231d,
+    0x76d3d1c9, 0xb269e40e, 0xd9d31a48, 0x22b582f8, 0xdf96a5b7, 0x6c7ee164, 0xd09bdcc1, 0xd2e9e067,
+    0xcfad7583, 0xfe7a6c9f, 0x56453479, 0x01127b35, 0x919c7a52, 0x2acd7176, 0x7370b1d0, 0xc8e1ad55,
+    0x5814f162, 0xe3b0c2b5, 0x6e668d66, 0x0dbb960e, 0x73d92625, 0x0fd0f6ef, 0xc93d62b9, 0x640a46b4,
+    0x55521099, 0xb390662e, 0x2bc9c606, 0xcf233972, 0x4daad045, 0x6c3bb383, 0xa4e9d4aa, 0x2b8c63b2,
+    0x2efcebca, 0x82bbbdcd, 0x53662cc2, 0xa5c7a37b, 0x09b164c3, 0x73ca15ce, 0xcfa31a02, 0x729fc592,
+    0xe9bd5f52, 0xe5e32025, 0x3332ce53, 0xa5361dc0, 0x8f0b031b, 0xd95835fe, 0x7b3954c6, 0x89b5c535,
+    0x6bf19b19, 0x6367f88d, 0xe0354e84, 0xb28c3926, 0x95690f80, 0x0f58e2c4, 0xeabd3d31, 0xc21ecc0d,
+    0xcfcf4136, 0x6bb1c095, 0xfd944e05, 0x0d0607f5, 0x1b3d1060, 0xd1d491e8, 0xd5b09de2, 0xdf9d9b0e,
+    0x843aed3b, 0xe10b79f6, 0x96d9c382, 0xf1c7f4ab, 0x26260d11, 0x55043ec1, 0xcd47f1d4, 0xb0bc0ff3,
+    0x13f6db06, 0xb6deb4f6, 0x40be8c05, 0x3bc9f6e9, 0x9f0ae6f5, 0xb5cdb1dc, 0x1b129160, 0xe46078ae,
+    0x60d3986d, 0x50624257, 0xeffe39e9, 0x958f107a, 0x7819348b, 0x2238fa4b, 0x2664dcff, 0xb4567c94,
+    0x79319d97, 0x033ed8d7, 0xb51597e4, 0x8609885c, 0xc393ca05, 0x628e0070, 0x467363a3, 0xef04d0ee,
+    0x92a01517, 0xe1a9ad54, 0x03004994, 0x62da1040, 0xb66b461e, 0x576daf6a, 0x71c54729, 0x1dacb621,
+    0x6e0a5ffe, 0x164b59c2, 0x56d11054, 0x30a83dc0, 0x341f1acf, 0xcecf5bce, 0x74ab78b5, 0xd2e9c4c3,
+    0x9487e950, 0xecc35efc, 0xb9cfb4e8, 0x8347f62f, 0x4b6328ec, 0x6509572a, 0x25f99586, 0xa94ba464,
+    0x104b9c0a, 0xd9af191a, 0xc4a60508, 0xe943e4f3, 0x695004bb, 0x0d43c66c, 0xe8770324, 0x8bdaa2f5,
+    0x06bc7e65, 0x4a464a93, 0x7e833243, 0x3f94ea72, 0x780ec8e8, 0x193211e5, 0x25f94391, 0x84276fef,
+    0x79687a93, 0xad633658, 0x52f942ae, 0x2db7114e, 0x7b1b5fa3, 0x7024d5ef, 0x7f55ad86, 0xc54a49ca,
+    0x02f7c418, 0xd484436c, 0x440f2838, 0x4ee4c585, 0x1404ae13, 0x51b9be7c, 0xd01ff0c9, 0x9be3c8b3,
+    0xf37fb66e, 0x33f6293d, 0x369de34d, 0xbc77fa4a, 0xaee1ca73, 0x81e9de94, 0x2cb920ce, 0x0189648e,
+    0xc31d9fd7, 0x0a89a878, 0x71dac697, 0x25402617, 0x006d18e6, 0x30d90205, 0x5b73fc2e, 0x8e5e6833,
+    0xd55cef43, 0x294aa29f, 0x784c1c5a, 0x1a70214b, 0xe8ec7884, 0xd7be5d29, 0x03567f43, 0x7342de20,
+    0xb2b0e091, 0x451052fd, 0xf1d1c1ea, 0xbf76cdec, 0xbf5fd60e, 0xf4965a52, 0x3a475fa6, 0xc59c4058,
+    0xbd18f114, 0xd365bd33, 0xfbbd08ac, 0x5c6ffea7, 0x577e5af0, 0x4365e44b, 0xa5f4c7bf, 0x923e9e9b,
+    0x32712d7d, 0xc957e102, 0x1ed02a47, 0xb4e69127, 0x0b1bc74c, 0x96648240, 0x27dfa58f, 0xf2f8ef49,
+    0x0b51df20, 0xe6146ab1, 0xcc00077c, 0xf21f4920, 0xa411c929, 0x02da65aa, 0x4ccdd3ab, 0xa36a9c6b,
+    0xa7de3763, 0xf5dc4d4e, 0x37311bd0, 0x1e2cf320, 0x7c513b69, 0xe03c683a, 0xefe86cdc, 0xdc613db4,
+    0xe1d6c40d, 0x9855bef8, 0x03efe418, 0x83251e62, 0xcf4b94b2, 0x3172abed, 0x527cc3a4, 0xf4d5f1bd,
+    0xc3920a53, 0xf4feb046, 0x3246c742, 0x1ccc2e4a, 0x72b8f502, 0x7ffd126d, 0x9ea42a3a, 0x31f8096a,
+    0xb3819f7a, 0x6b173dbf, 0x6f4a2af8, 0xe4d32942, 0x6e84976b, 0x4fd6563d, 0x02cb3522, 0xa13b5955,
+    0x23d987f2, 0x09fd85f4, 0x6902219b, 0xa5f6a444, 0x66149f26, 0xeac5f27e, 0x1f223608, 0x66755f9d,
+    0xb3d410fa, 0xa8657ec5, 0x24ea3414, 0xe25520c0, 0x269099d4, 0x21fa6d3a, 0x26f45b49, 0xce281f29,
+    0xaab4ad7b, 0x19bd0898, 0x5a1c248d, 0x90fcf000, 0xae6c0d4c, 0x4db01239, 0x31400623, 0xa0d1ff84,
+    0x79541266, 0xdc88d73d, 0x8de3e71d, 0xbd766fc9, 0xf51367f6, 0x77643225, 0x030a5833, 0x40f1d7c3,
+    0x6e3a9af3, 0x1e81dc86, 0xd897e45f, 0xb3342563, 0xd5243da4, 0x699eca84, 0x016128d6, 0x1ce52c1b,
+    0x2d91bd03, 0x24cb825d, 0x473afb59, 0x2c7ab348, 0x67845957, 0x43325b75, 0x4a98fbb3, 0x58cf754b,
+    0xe9319492, 0xd8f71998, 0x94c6e1a0, 0xfc7657f2, 0x84226359, 0xa4d88f1f, 0x5fd8e913, 0x61c5ae74,
+    0x1590d8b2, 0x1a905a9b, 0x8d675940, 0xdf7ca798, 0x96cfa8a4, 0x911da066, 0xb8016c57, 0x3ecd7017,
+    0xf69bc1cb, 0xad2d5d76, 0xd0f71150, 0x7ac4491a, 0x91c6a70d, 0x0e7ed0ef, 0xe1a490ad, 0xb2a00fc6,
+    0x06e06c47, 0xb3d5e964, 0x2b54ce98, 0xe86b487a, 0xcf3bf739, 0x51e93b64, 0xdb8db858, 0xa709431a,
+    0x73796a28, 0x9fbedfd0, 0x45c2cd59, 0xd278ce32, 0xf056414e, 0xee4f9e32, 0x0b396413, 0x97111101,
+    0x9138b41b, 0x7c4cd122, 0x81ee8091, 0xb89ce603, 0x0f7cfa7e, 0x5220d4fb, 0x722330a7, 0xe1ae0ebd,
+    0x1e16bae3, 0xffc7934f, 0x12352e90, 0x53933987, 0x06551402, 0x42600a00, 0xe20b7ef9, 0xd38350de,
+    0x54622acc, 0xdb8b7ee8, 0x9f3377de, 0xd41f8fc5, 0xcf381289, 0x4c03f967, 0xddc1140c, 0x8e070341,
+    0x20c395d3, 0x395b82be, 0xf899db61, 0xea094bfe, 0x59aeb32d, 0x1bc36be9, 0x0b976006, 0xa3348d53,
+    0xc3f32739, 0x41019ece, 0xbf0f7a08, 0xd3b478b2, 0x682e8763, 0x08cba4d1, 0x20c1f634, 0x263f1f03,
+    0xef17b6a6, 0xde0bea1e, 0x1b633224, 0x686b58aa, 0xe14ac57d, 0xb7e53315, 0xd66de72f, 0x4e36aaad,
+    0xd526b26b, 0x7ccf7471, 0xa033d4d0, 0xcde72672, 0xc7e184b5, 0x63c306f6, 0xfdda4673, 0x5fb31ce5,
+    0x513d3884, 0xa1560af4, 0xd226d3fd, 0x75acd080, 0x9b0938ca, 0xb48a888c, 0x809b5725, 0xe33a524e,
+    0xf18c5055, 0x20b0dae6, 0xdac7e9c2, 0x62174551, 0xdf2c5669, 0xcf488e4f, 0xc9fff4f1, 0x5f1a85f6,
+    0x0c5ad972, 0x4f8a22d9, 0x9c4d9044, 0xd4171868, 0x811c42ab, 0xc2cc0e39, 0x8c15d726, 0x11f2c9c0,
+    0x9a94f00f, 0xfb461ed7, 0xfaa0ac43, 0x864a9feb, 0x45769bba, 0x10475228, 0x6f3266d0, 0x77182b9e,
+    0xd9b72db8, 0x5b3e6a50, 0x12784850, 0xe4bdc7cf, 0x346facfb, 0x196966ff, 0x085486fa, 0x7221bdb9,
+    0x4301a05b, 0xaef25a9c, 0xbef81e51, 0x5ee02504, 0xa7b724d6, 0xec2c3442, 0x9ab17489, 0x509bdee1,
+    0x0d2045b5, 0x9ef3003c, 0xfe015dcc, 0xf24d9f15, 0x723538f0, 0xb95d9749, 0x77790700, 0x742ae8a8,
+    0xcbf01e67, 0xc478e462, 0xbd973564, 0x2b6a61eb, 0xb0351ec6, 0x02816e0e, 0x8396df85, 0xf9e4e39b,
+    0x31e3f462, 0x69e0e1f1, 0x376f33f5, 0xafc1e5e6, 0x783cf9d6, 0xed55323e, 0x660af6ef, 0xeabd9645,
+    0x57ec3726, 0x7d243d28, 0x1faf4abb, 0xaf86be7d, 0xc57f4368, 0x251a63ff, 0x9b88520f, 0xb80b566d,
+    0x90ffc540, 0xbb49ea8c, 0x4c101084, 0x238a088e, 0x7a1d5573, 0x0724ece3, 0xaf0838f6, 0xb1cdd44e,
+    0xa22e63ea, 0x5d06ced0, 0x6f84f2be, 0x5de74ff1, 0x891c9292, 0x2fedc593, 0x825cd6f8, 0x64512d20,
+    0x378e0e38, 0x3707292e, 0xb1cce827, 0xbbe1247a, 0xfe2747f5, 0x81d1e8dc, 0xfb91f8df, 0xa3093e3a,
+    0x4fcbf0af, 0x2378efb0, 0x03a578d1, 0x024d5575, 0xa0854949, 0x8a72f9cb, 0x0363181e, 0x7d81faa0,
+    0x91f77d6d, 0x0ea2ad58, 0x9c522155, 0xbb2962cf, 0x3057921a, 0x83f3c680, 0xe5f4f2fe, 0x983e5913,
+    0xa86d0ee0, 0x23bf08fb, 0xfdebcb78, 0x22ed49c8, 0xb393555a, 0xd5af49a3, 0xb82f0ef1, 0x56fa48fb,
+    0x4eda6367, 0x83441c85, 0xb4f9e1d0, 0xba4d53c1, 0x9155aedd, 0xf9eb8029, 0x98a1b882, 0xd96d7c5e,
+    0x5c8b232a, 0x688265b1, 0x503c4c0b, 0x51a2fa8d, 0x16d1fd29, 0xf7a09b53, 0x76d91bac, 0x488faa1d,
+    0x24876592, 0x546a643b, 0x27b1200b, 0xb22351a9, 0x3a48bfda, 0x7cde6fb0, 0x988f5091, 0x7319cc2d,
+    0xad9c58bd, 0xbc4b6e76, 0x15900672, 0x2616ccf4, 0xb8dbe030, 0x7348b94a, 0x3687b0ec, 0x68281afd,
+    0x55451a58, 0x969c1ac1, 0xc79203f7, 0x44836b46, 0xc9b8d8f5, 0x6c88256a, 0x8d01ced4, 0xb49f6166,
+    0x9ce188ab, 0x0462e8ee, 0xd2d839ed, 0xb9f5a8e6, 0x0e861e39, 0x7878f864, 0x97dff416, 0xcbdad17b,
+    0xa4414ab5, 0x8ff59093, 0x679e7370, 0x69240a37, 0xb0e81169, 0xb6727e15, 0xa97fafc6, 0x667d6a3d,
+    0xf591ab22, 0x74b3fc9f, 0x25e7b957, 0x6c16f7fa, 0xd8a6feff, 0x1e1d392d, 0xdc485789, 0xfb5eee14,
+    0x0a3cf318, 0xe3d7af68, 0x7f1ca81a, 0x264502db, 0xb436b5ec, 0x4e10e5a5, 0xd8d07de7, 0x3e8d432e,
+    0x2e163662, 0x61779093, 0xcaaadbe1, 0x1cbec44f, 0xdb6a2aee, 0x9ee4c260, 0x5fcc7923, 0x544a57f6,
+    0x0de8e57d, 0x6b49f5c2, 0x3b9ac096, 0x73c93a17, 0x05417a6e, 0x2ab7da27, 0x328942bc, 0x2c9ca3ca,
+    0xa0cbad8e, 0x9d921da7, 0x86107e57, 0x44c142a6, 0xbe235661, 0xab4b4436, 0x17ca468a, 0xf8b03d36,
+    0x1e49a479, 0x8e34d91d, 0x39113470, 0xc89649d6, 0x13ea0d82, 0xea9d6143, 0x47e286ea, 0xe449667a,
+    0x9875d92d, 0x29c77f98, 0xf2a5e042, 0x0ea82b6b, 0x2c640407, 0xa164acc3, 0xe4f86e44, 0x26ece144,
+    0xacf4d375, 0xf30288cf, 0x02b3e774, 0x3ced349f, 0x8b8cf498, 0x89e4e682, 0x85cb6dda, 0x6410e2a6,
+    0x18b0fc90, 0xda1a20b8, 0x7c121a91, 0x40c9262f, 0x28492791, 0xbf3ce996, 0xec798dd5, 0x6cc66b36,
+    0x1a0094f3, 0x49132784, 0x644f6d6c, 0x7cf170d2, 0x8d1ecf1b, 0x6e5dd7f8, 0x9a1f6910, 0x96634010,
+    0xb6f4baac, 0x66fd6ef7, 0x19109f7e, 0xf439489f, 0xaad16ce2, 0xfccecbca, 0x6e9a0392, 0x8cc666f1,
+    0x177b996d, 0xa85b156d, 0x40a99149, 0x76572d20, 0xbe4e7d3f, 0x5445bed7, 0xc990ced5, 0xa012adf0,
+    0x2ad7ebb0, 0xd1945b7c, 0xd6b96e95, 0x7288b322, 0xc06ae8bb, 0x2c699a58, 0x2baca5a9, 0xdb2cb4ba,
+    0xf42c1dcd, 0xd1033b7a, 0xb8adf1dc, 0x650dd382, 0xd81a07b2, 0x2ed30a5e, 0xfd5a9f13, 0xa77ddc07,
+    0xb5cc89d6, 0xf2aee4e6, 0xfa34b33a, 0x0eda6c28, 0x74e6780a, 0x8630bc31, 0x84366371, 0x2c2b20fc,
+    0x104c55f7, 0x4469ac98, 0x7593e3fb, 0xee83b357, 0xacf6b466, 0xbfaf8a2b, 0x56ca1e31, 0x7d040374,
+    0x6100203c, 0xe6788271, 0x8c23f0af, 0x114c3f07, 0xd351aab2, 0x5bc619bb, 0x3ce2947f, 0x992cdcb8,
+    0x4a100f39, 0xa272d5b1, 0x90619613, 0x47b560e4, 0x9ed21f27, 0x055f8d09, 0x9ba490e9, 0x323d0642,
+    0xec1afb5d, 0x3cf1f11f, 0x6f1cddc0, 0xd09595fd, 0xa66bafe6, 0xb25c268f, 0x0ca3e50a, 0xae57fb85,
+    0xc01db3bc, 0x2389dab3, 0xed5b3af1, 0x3bf51c43, 0x275d61af, 0x1bc07207, 0x2b11326a, 0xf89e78a0,
+    0xe5cf78fd, 0x07a22d94, 0x76164be2, 0xce45fdc2, 0xc0d9fac1, 0x081946b1, 0x4ebbc01a, 0x777d13cc,
+    0xcbef14ba, 0xc0c9b5d1, 0xb2ca669b, 0x0b23fb28, 0x1791d676, 0x2d57ee0b, 0x8b74b5a7, 0x55aa490d,
+    0x453f9f8d, 0xe20a5cb0, 0x9105fbd7, 0xfb1631cd, 0xa3a404b4, 0x188e9cd3, 0xf12727eb, 0x3d60cf4f,
+    0xbf1bb152, 0x4cdecad1, 0x1639aa5a, 0x0e3c2a15, 0x8d26b9a2, 0x2f731767, 0x077c9e52, 0x64de2b5a,
+    0xc6f2e736, 0x426a7a45, 0xf5824df8, 0xb43369da, 0x1786a2b2, 0x1ccaaac5, 0x0ca2a4a6, 0xed2f2811,
+    0x67c1d005, 0x9ecf7339, 0xd650a7d5, 0x5f5c0c7c, 0xac8488f2, 0x0a366592, 0xf91d6f92, 0x209d6a4b,
+    0xcf83094e, 0xe49dd1c6, 0xfdb1645b, 0x48411aa4, 0xf6a7b195, 0xb29e6aff, 0x95af6386, 0x10446bef,
+    0x4af3daf8, 0xb1915b6a, 0x516e085d, 0xcb43298c, 0xaaa5e996, 0x12fe52e9, 0xc17ac3c6, 0x6988ac0c,
+    0xc42cc046, 0xe0789803, 0xc7f6d382, 0x34be6175, 0x7e7bdc6a, 0xb9447068, 0xb2f27aac, 0xface903f,
+    0x91b15ec2, 0x4c69bdef, 0x2c95a71d, 0xde48e801, 0x17f5f0b4, 0x3e0a0cd7, 0xf0cc41c9, 0xad3635ec,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000667495948725284400\
+                          74844428317798503581334516323645399060845050244444366430645017188217565216768 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750,
+    0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a6, 0x2f99af02, 0x1622ae0b,
+    0x00000000,
+    0xa4424b0d, 0xc31b903b, 0x8bdb28af, 0x074c7c44, 0xa2e3b2c6, 0xac72e63a, 0x798d1c69, 0x5fb10030,
+    0x5a9a0d41, 0x9ac7dd36, 0x44d46976, 0x707fd65e, 0x686dbf36, 0x5a0ec9e5, 0x22dce393, 0x708f4a90,
+    0xfe6c920c, 0x6480b0a7, 0x64702c54, 0x39e570e3, 0x1e1f70bf, 0xde43e3b7, 0x57642960, 0x1f11fcb6,
+    0xcbd8cc04, 0x8ad0c098, 0x1c27e12a, 0x44e8f685, 0x4e275974, 0xc4f8aa1f, 0x30aba1ac, 0x90d13c33,
+    0xf32667c2, 0xd781f69d, 0x619fd20a, 0xf2bfc806, 0xd0a932a3, 0x6ecd897d, 0x13fe2cc1, 0x98f96056,
+    0x0e46c58f, 0x479c2e8c, 0x4d24b92b, 0x2b4a381b, 0x0d821a5a, 0xd603b07b, 0xba4210fa, 0xb503119e,
+    0x3cf5f927, 0x7d652adb, 0x32cec516, 0x283575ed, 0xcf560455, 0x7b2e5eb8, 0x84b49d93, 0x4c0cca18,
+    0xcf53b12a, 0xd2021d83, 0x68e78ee4, 0x216fc6d1, 0x9df40bb4, 0x85510338, 0x16e71c94, 0x48954024,
+    0x1601569e, 0x160e65b1, 0x5923d87d, 0xf5a0ea34, 0xaecdf349, 0x0461a57b, 0x20bbffdd, 0xa56f94d2,
+    0x13c79795, 0xda557cd0, 0x3e050b21, 0x48b5a9ad, 0x7252c23d, 0xf9e28c3e, 0xe552975c, 0x16e43b2d,
+    0x67acd3de, 0x86e8d49b, 0x689599a3, 0xe3cc4ed0, 0xc9755f0c, 0x11b53ccb, 0x0af9cdcb, 0x678bbc95,
+    0xb209884e, 0x9549e2ec, 0x5a662856, 0xbe870958, 0x2c20afc2, 0x674e3d72, 0xfb62ebab, 0xcd057412,
+    0x469b7ceb, 0x1de07622, 0x7a3d8bfc, 0xc39dd928, 0x9d23f658, 0xf3b850a3, 0xbb4787d8, 0xc2ffb311,
+    0x5b4bccf6, 0xd68bf369, 0xab310847, 0xee4eacf0, 0x6342592e, 0x54584c8e, 0x20b4645c, 0x83499712,
+    0x7f67a5ad, 0x323607bf, 0xed62ee60, 0x93c918c2, 0x0bfd7ad3, 0x44a5da49, 0x1dfdb60a, 0x5d8c1c59,
+    0xc46de7b6, 0x595da6dd, 0x05a7030d, 0x888a7a96, 0x7194ae5c, 0x7ee9c7eb, 0xcc3c9170, 0xf9871bb0,
+    0xfc34b803, 0x5c28d90e, 0x5cc940b6, 0x3455b864, 0xc98bf056, 0xb1bd8fa8, 0xc2eafa0e, 0x4a7204df,
+    0x3657bf25, 0x69b8fff7, 0x30cb2f5b, 0x6646adcd, 0xe252b870, 0xd7bf199e, 0xa23ade3b, 0xdf9f7b57,
+    0xb40cf10d, 0x83a8cd14, 0x4e687564, 0xfbd24690, 0xb102500d, 0xab32cfd1, 0x014e3eb7, 0x3cf27083,
+    0xed0dc661, 0x8bd94079, 0x6a873650, 0xfe53a386, 0x0df10571, 0x7e684b03, 0x2e89d0fe, 0x89b2a4b2,
+    0x2a19d833, 0x901ea3e6, 0xd79ff379, 0x56a521c6, 0xc4e92b90, 0x564068a7, 0xbc9388e6, 0xe7c95301,
+    0xce0d91f4, 0xf4d0c2a3, 0xa14bf6e3, 0x6f64d8cc, 0x103fe639, 0x2530cbe2, 0x4223439b, 0x4b871f84,
+    0xa3416fbc, 0x4eb81c27, 0x48200577, 0x8e5edb69, 0x1db3e969, 0x4fad59b3, 0x2ff5b920, 0x8103f743,
+    0xa98eb3e8, 0xf1df9581, 0x59d2e8c3, 0x02399a01, 0xa0fd50a2, 0x50d7d5d4, 0x6dbf753e, 0xd5f0051b,
+    0xfc3b3eea, 0x156b95ff, 0x6303b6cb, 0xadd6d26a, 0x39e99628, 0x2dc429b7, 0x988f9b4b, 0x5c6dede5,
+    0x22ac2199, 0x37e4f9b6, 0xcb99c319, 0x40eaf108, 0xc98521a2, 0x2952c581, 0x2933ecb4, 0x08491654,
+    0xa5ee95dd, 0x3ef14cc4, 0x4d054d4b, 0xa14510d8, 0xe6995c37, 0x685c6783, 0x7d5641fc, 0xc7520698,
+    0xebecfc32, 0x40d06fe7, 0x3f759e2a, 0xa40e006c, 0x26cc2a1b, 0x343dbd00, 0x7d1f8bdc, 0x09b70cd0,
+    0x02d2c830, 0x73a49d3b, 0x476aaab2, 0x61fd2a54, 0x12e17545, 0x1d395e08, 0x55e56ec1, 0xfb14de2c,
+    0xf8a0845b, 0xd2692862, 0x66a7828a, 0xf7ef68eb, 0x366a19e1, 0x57b1d582, 0xbb2d076f, 0xc901b40e,
+    0x6895bae2, 0xd0b34137, 0x848ed974, 0xe9b95dae, 0x6ce738c5, 0x6c575e15, 0x1cb96a69, 0x06628fdf,
+    0xc732e73d, 0x5606891e, 0x50f20567, 0x36c83ad5, 0x1015cc4a, 0x2b95ffe6, 0x7946d4a5, 0x97c7b76e,
+    0xa98b566e, 0x22d46a50, 0x992a2abb, 0x9ba7f8f9, 0xa13d229c, 0x4ce17678, 0x5f94057f, 0x3f6ac9e6,
+    0x076fc597, 0x68695ee3, 0x84954ffb, 0xbd3cfacf, 0x73ccb045, 0xeff5d1d1, 0x7c170d2c, 0xc12fe29e,
+    0x0350d1ff, 0x4504714f, 0x7dd00c69, 0x2dc5a1f8, 0xaaed563c, 0xa3a380ba, 0xec32bdb5, 0xb2f76c52,
+    0xa95378bd, 0xc1cb90e5, 0x4a146556, 0xe79109a9, 0x17cc300c, 0x111da072, 0xe10d7440, 0x4b277ee2,
+    0xa45252cc, 0x4b298204, 0x246b48bd, 0xad266281, 0x57851b96, 0xbff289bf, 0x7fca0c7e, 0x5f0f4db9,
+    0x4543dceb, 0x6bf089c4, 0x200e79fc, 0x4b9ec1c5, 0x0e860150, 0x8c043d6b, 0xea4ad57e, 0x6c939bd7,
+    0x2be33c97, 0x2f3fb0a3, 0x54d29d1f, 0xb8b460da, 0x91c836d7, 0xab934323, 0x8de7c128, 0xba8f2d86,
+    0x91749401, 0x94642ec3, 0x8238aeb7, 0x07466143, 0x66feee5e, 0xee3077c6, 0xb79acb2f, 0xb10b899c,
+    0xe02c8313, 0xc4196014, 0x1211547a, 0x14e4ab2b, 0x0e6dc67d, 0xed4d4e3e, 0x3eca352c, 0x3f22111b,
+    0xfcf92c49, 0x4de5d73a, 0x06c660b8, 0xdfc5c4ff, 0x5aaef60e, 0xdb4e9a05, 0x110580ba, 0xd2971b5b,
+    0xe48ca361, 0x1114e015, 0x7bec87ad, 0x987db239, 0x489f019d, 0xc5b44b6f, 0x71f98dad, 0x60bc66ee,
+    0x1f9c991a, 0xae066ffb, 0x92f3efe8, 0x23f37ba6, 0x995f5daa, 0x01d7a610, 0x32805434, 0x6c24f5e5,
+    0xe3fd626b, 0x74f5fce5, 0x7ec6904c, 0x60a08f19, 0x9dfca0d4, 0xa482a0de, 0x67127b57, 0xc4b47e66,
+    0x5cfabd14, 0x7db723d5, 0x301525e5, 0x22a1d237, 0xc0152eab, 0x12f37a16, 0x625860e7, 0x9df1ed6c,
+    0x714cbf68, 0xf6da134a, 0x752a371d, 0x6e1531a9, 0x0dfbe43f, 0x932115ce, 0x452ba097, 0x468fcae5,
+    0xbe9c5f0c, 0xf1096224, 0x85a76314, 0x688d58cd, 0x7805107d, 0x08b8b68b, 0xe42a4f20, 0x7c93fe7e,
+    0x870aeea7, 0x9a4d1967, 0x8c767b10, 0x66ecf05e, 0xe1f4050e, 0x710cdc6b, 0x17eb16d2, 0xdef13bea,
+    0xfdbde799, 0x86ca3684, 0x47c1f8ed, 0x14bbe317, 0xe6d64e38, 0x6b8e720c, 0x275b263e, 0xc0c619bc,
+    0xff9ccfa6, 0x3cbd8b5a, 0xd66b68a4, 0xfff13dcb, 0xf9c9e8fa, 0x62b712b8, 0x000b72bb, 0x21873f19,
+    0xd0c58b2f, 0x046d3ec1, 0xae358400, 0xa1faf458, 0x865b6a28, 0x7ea9385c, 0x1ee1deb7, 0x568957ff,
+    0x67d07bd0, 0xb30297d6, 0x14a73f08, 0xcf5a9352, 0xbee157d0, 0xb66f040b, 0x7009eb08, 0xa2a080e8,
+    0x8b4719d2, 0x17c6bf19, 0x33042e74, 0x09e9fb80, 0xbf9943bf, 0xae4f3805, 0x4e952d6e, 0xf46d4404,
+    0x2624153c, 0x341750ef, 0xec40e58c, 0x8af09434, 0xd13d8138, 0x6395b809, 0xed179635, 0x3dc55219,
+    0x6cc5efac, 0x8b338996, 0x1795bb9e, 0x31b30d70, 0x2aa515c6, 0x2a834500, 0x83ad19f2, 0x4d23e220,
+    0x8508f4b0, 0x6e7e13e2, 0xb69454cc, 0x034bb6ee, 0xd081f181, 0xf1335de3, 0x0059d8c3, 0xcc4ee4a6,
+    0xf7a09c0d, 0xf11441a7, 0xb2d59a31, 0x6b0a2540, 0xb7a33145, 0xa188efbd, 0x26f5cc16, 0xeaa033f6,
+    0xf399a046, 0xeec88441, 0x6d6e4272, 0x4c1740c6, 0x78eb238d, 0x927513f5, 0x4770acc4, 0x5802d424,
+    0x614c94fb, 0x07bff257, 0xf5f402bd, 0x9f680b78, 0x378c5f7e, 0xba5ad5d4, 0xd92f0320, 0xbefac61c,
+    0xa20caa97, 0xac2b968f, 0x73abf282, 0xb2573e21, 0x0f87cbb0, 0xe2214b5b, 0x18b57752, 0x4e506d1a,
+    0x4002f647, 0x47154f44, 0x2a0947fd, 0x8eebd7f0, 0x56640549, 0xa06b20de, 0xef80a50a, 0xfdd1b615,
+    0x13e505bb, 0x2aed93e6, 0x8873d81f, 0xdbd60c76, 0x99c47c48, 0x23abd07b, 0x73ec466c, 0xc5ac4e8c,
+    0x77404998, 0x3135468c, 0x764da2d3, 0x59fea16c, 0xf61c95c4, 0xd2111d3b, 0x99eaa246, 0xbda7ccca,
+    0x5b5a3174, 0xc089f79f, 0xfa881e47, 0x18d5449d, 0xde1333f7, 0xc733284d, 0x3a314baf, 0xf4d517d7,
+    0x94eb6f43, 0x9eab8ca3, 0x94d4526a, 0xc5ae7727, 0x3ded1ce2, 0x08516357, 0x3aa43936, 0x66f2868e,
+    0x44c02778, 0x15042be6, 0x228cdd18, 0x62c3c660, 0x07d61d37, 0x9d8df593, 0x952c84e0, 0x4afd74b4,
+    0xf46e6b76, 0x9987e9f9, 0x3944fba3, 0x21e893ab, 0xead126b0, 0xa00f2f6a, 0x4b8cb748, 0xdd071c2a,
+    0x30c2dc72, 0xdd233cef, 0xd6f2b8bc, 0x674dc254, 0x96d5ad0b, 0x32665b87, 0x09adfbcd, 0x2fd0d3c1,
+    0xb22cce0a, 0x12e12869, 0x586c0fad, 0x903936ee, 0x68743592, 0x518359b7, 0x86748063, 0xe8ae105a,
+    0xa9cf53f5, 0x7fd5bd7e, 0xa2d24424, 0x0d235e29, 0xa20f34ec, 0x6b5cf5f1, 0x43764264, 0x33ad8df3,
+    0x068ed8bc, 0x6f2f92c3, 0x7ed5a55a, 0x874a7fcf, 0x9e9182ea, 0x3a17031c, 0x73105c03, 0x6ee4747f,
+    0x72e9afec, 0xc4af4159, 0x292953f4, 0x09e1b200, 0x4e8f3e57, 0x8f881446, 0x1024f414, 0x9b8dde27,
+    0x9dbd424d, 0x757ba2dc, 0xfbc54d72, 0xedcbbdc2, 0xa3ca9126, 0xacaeb56c, 0xba197221, 0x7e1b2cf3,
+    0x1e495a29, 0x318d447e, 0x54dc6c24, 0xf5886534, 0x282f7964, 0x58b18ba4, 0xa09a81a4, 0xc4c0eeb7,
+    0x0a3c16c6, 0x198dce2a, 0xf94fe7bc, 0x9a8187c2, 0x4fce9252, 0x7428465c, 0x5460712f, 0xcb6e6cd7,
+    0x1fe28a90, 0xf4aeec14, 0x1c239804, 0x5cf7dade, 0xe4deae3c, 0xfe843786, 0xa6cf6252, 0x90c1aecc,
+    0xfa14ad42, 0xae33c255, 0x6fbe4e6b, 0xb4afe367, 0x286a0d62, 0xd87e4a81, 0x0ed64782, 0xb484a76e,
+    0xa2e2c5e5, 0x93b6ec26, 0x7c8f0d32, 0x527510dd, 0xb75fec58, 0x892c33d7, 0x210c203a, 0xb71d368f,
+    0x77bf4255, 0xc938002a, 0x9c955117, 0xd8235bca, 0x5837b993, 0xda554b80, 0x948fbad8, 0x9640ea0c,
+    0x8618dfcb, 0x2394543e, 0x82180c52, 0xa8077e86, 0x8da2aa2d, 0x7ef70ef1, 0xafcda33b, 0x3ece9bc6,
+    0xb213e6f4, 0x5f9250d1, 0x74ca25b0, 0x1903971a, 0xbde8de54, 0x3f0f0139, 0x7c9ed2e1, 0x0e19621b,
+    0x2eeb120a, 0x1a994365, 0x2430cec5, 0x73fe0f62, 0x35b4082f, 0xeb19fda8, 0x13252a2e, 0x58658c8b,
+    0x87cc0355, 0x91176bf7, 0x31db5f5b, 0x79e9e374, 0x69f25f19, 0x03f256d3, 0x81ed62f5, 0x6bd1db46,
+    0x114fd081, 0x7bace9e6, 0x06a5c62a, 0xd6cf05df, 0x14f9acf3, 0x30ec8693, 0xf340e7ce, 0xe7bd5a7e,
+    0xd7e26e3d, 0x23106bfc, 0x141ddeea, 0x871d157b, 0x9536a1fc, 0x4869ecb8, 0xe20758a5, 0x4a0e07cc,
+    0xe9a4f544, 0xe274c0e7, 0xc9fbac4c, 0x7477b712, 0xeafc8f7c, 0x7233975a, 0x44bc5397, 0xf3d4a6e2,
+    0x52167bc6, 0xf3f87600, 0xa5e9b922, 0x50cf785b, 0xc944b960, 0xb1b23b88, 0xf0405cce, 0xb7138919,
+    0xb479301d, 0xca2efa72, 0xbd546d52, 0xfdec33e6, 0xb643a89c, 0x4b3e6664, 0x7175890a, 0x7b8ef008,
+    0x5e4da191, 0x7621529b, 0x6d158bc3, 0xd2ee8afc, 0xec5d1ecf, 0x13fe8429, 0x25bee71f, 0x8081e01d,
+    0x8fded440, 0x94d00282, 0xf0a73ea0, 0x81cb658b, 0xdc0ac09f, 0x5e8de7b0, 0x675447cd, 0x989bfe8d,
+    0x381ddf8d, 0x5bd92f26, 0x03d736c7, 0x94f51c7e, 0x46cad812, 0xa9ead5a2, 0xfd4d75e4, 0x0c8fc615,
+    0xf3c08a82, 0x6aee394d, 0xfc232aa0, 0xce276f4c, 0xb6f48a05, 0xa3b92fbd, 0xbc7d26f1, 0x77d1081d,
+    0xa53f093f, 0xd8cdd4f2, 0x34b64759, 0x446e4ed3, 0x39fb3dd5, 0x15a5c6ac, 0x0db72bfd, 0xc45a8321,
+    0x3d4b4adf, 0x0eda93ff, 0x58452bbf, 0x7dae66a6, 0x145892a2, 0xf9d415c2, 0x5bc47074, 0xa4176d28,
+    0x42d2d6be, 0x69f52048, 0x57b5834b, 0x5f69d204, 0x1160887b, 0xe3605a0e, 0xe0d304aa, 0x30521067,
+    0x54c3d448, 0x7f6e2cd7, 0x3ad353e6, 0x4da4b2e5, 0xefe813a5, 0x4e15cb9d, 0x02c1b54a, 0xe76b036d,
+    0xba0def9c, 0xe933305f, 0x76958360, 0x7b0bda49, 0x6214ea39, 0xb60f9603, 0x2b8bea34, 0x93f467ae,
+    0x91fafd04, 0xadb7b1fe, 0xbf309c33, 0x6193c5cf, 0x86bb0ee1, 0xf38a0a45, 0x70a764a9, 0xe836db59,
+    0x64803622, 0xe7c1ba04, 0xbae06868, 0x09410404, 0x0bd92639, 0x64c94199, 0x4a8731b6, 0x4ff44b29,
+    0x2780e8ae, 0x40760c43, 0x5542c154, 0x6ec4d942, 0x3f17fdc2, 0xe2e84f78, 0xaa4b70ac, 0x71ae35dc,
+    0x1ff0da5c, 0xa2867dc2, 0xeac0b720, 0x4d0edcb7, 0x8eb11d95, 0x7f86330d, 0x84a88dd0, 0x9dfecfe2,
+    0x6fa34092, 0xe368a4ee, 0xc3f30621, 0x09452ce9, 0x35fcf649, 0xbf53cd8e, 0x2645c443, 0xc2ce01f4,
+    0x6efe1e84, 0x9bd1ba5b, 0x95f2676f, 0x2741e97a, 0x0cfde7ea, 0xd7df087f, 0x095fda55, 0xb75f4f48,
+    0x88333e8a, 0x8d2730ae, 0x5f4cb3e1, 0xc0ebba9f, 0x3031781b, 0xc0a624b6, 0xcf37802f, 0x16c0278c,
+    0x6d4ff946, 0x603a063c, 0xc581aac6, 0x8f288768, 0x50cc78e9, 0xbf39ace2, 0xe01ebf7d, 0x5e225aea,
+    0xa3625762, 0xe4bb7ef5, 0xa8851cf2, 0x1c5f693c, 0x46b67ede, 0x83250449, 0x8a0dd3fe, 0x38ada843,
+    0xc7e4cdd2, 0xad63e03c, 0x825e8dea, 0xa8ab25c3, 0xff91a6f8, 0x5f854a4e, 0x7e53b1bb, 0x8674d442,
+    0xb14b4a2b, 0x36065823, 0x18c16ca2, 0x331edb1d, 0x88162bb0, 0x0425d0d0, 0x4c1fb663, 0xed265dcd,
+    0xfea0cd63, 0xd71ab4f9, 0xbbda34b1, 0x44c52d1a, 0x93e6aaee, 0x10d99592, 0x13135324, 0x26639285,
+    0xfaed8fbf, 0xd241ea2b, 0xf964cca1, 0x0e3579cc, 0x81126767, 0xfa2a2189, 0x666f6d60, 0xfcb9d476,
+    0x7d81ffb4, 0xa5b5956d, 0x620c24ea, 0x5c176210, 0xb0cc3851, 0x777ecd89, 0xb98fb4af, 0x6b6d3515,
+    0x2c63fba8, 0xe6beef20, 0xc6a248d1, 0x4172f350, 0xe010441b, 0xd1bf47e7, 0x8ad35b80, 0xdbcc1fca,
+    0xe4a192ab, 0x0bfdef36, 0x24a00341, 0xd4a17c57, 0x031703e4, 0x1209c323, 0x0ea0b13a, 0x6e4fbddb,
+    0x7bc671e2, 0x04c44c0b, 0x8acb898e, 0x76c40ae4, 0x78e39ad9, 0x5dde3696, 0xba94c44a, 0xb2eddd41,
+    0x385a9c21, 0xc59c0cb4, 0xfea48c6f, 0x329b48bb, 0xc9575f9a, 0x57393390, 0xa43f27c6, 0xfb27decc,
+    0x83c87a47, 0xcc0cb09c, 0xd529eb47, 0x8ce96868, 0xeebf56e2, 0x8d631379, 0xe58e6217, 0x631604aa,
+    0x00961b5d, 0x34f64566, 0xeaefd1ab, 0x9e7bceca, 0xfb98591e, 0x746e9eb8, 0xfbbf06f8, 0x25811c02,
+    0x041589db, 0xb75ced2f, 0xfd584a49, 0x4844c4d3, 0x65c66e80, 0x272ec0db, 0xde386007, 0x881f094a,
+    0xd97eb95c, 0xb0110924, 0x4b14b186, 0x7a74608f, 0x09929939, 0x533ac6df, 0xab371112, 0xa06ecf7e,
+    0xb8747a6a, 0x857e8ea2, 0x248dcef7, 0x45aaa50d, 0x8be3d2cc, 0x63963379, 0xb42fc0f2, 0xe2d5e9fb,
+    0xb58343b8, 0x990e615a, 0xe4d9a910, 0xda5dc512, 0xe394fa23, 0x716fbc71, 0xb99d9761, 0x63c6fa96,
+    0xeddf810e, 0x0a78f4cf, 0xd2523624, 0x0a525863, 0x1fd894eb, 0xf17a7863, 0xfe0bd198, 0xbbfc7248,
+    0xfe200fd8, 0xf1b1e79a, 0x6e3c677c, 0xf68feb14, 0x8f6bab89, 0x6d8b6e2d, 0xbff95652, 0x7def6e35,
+    0xe77e3a65, 0x28dbbc83, 0x3069860b, 0x175484be, 0x4b2b82d7, 0x9f896046, 0x1581f0dd, 0xc93face3,
+    0xfca0ff87, 0xef64cf16, 0xac694f6f, 0x5b2318bb, 0xe5d7c3f5, 0x29165abf, 0xa8d9758c, 0x75d7c6cf,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000333747974362642200\
+                          37422214158899251790667258161822699530422525122222183215322508594108782608384 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8,
+    0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d3, 0x17ccd781, 0x0b115705,
+    0x00000000,
+    0x91002120, 0x8ad43199, 0xa86f5239, 0x405f1f55, 0x1c3feae6, 0x9b62fe4e, 0xed9c2d33, 0x86aee8f5,
+    0x03dd47f4, 0x6d19d1cc, 0x7c0d5e04, 0xc07d3acd, 0x74eb6d71, 0xe051e175, 0xae9892ef, 0x30630fab,
+    0xf527146d, 0x1a8b012d, 0x8add4ce0, 0xe7752905, 0xabd7bf7a, 0x487b3230, 0xab4687b6, 0xe36fe340,
+    0x8d50045b, 0xbdce84eb, 0xbf762370, 0xf29f65f7, 0x1e09f069, 0x81858e13, 0x7be65616, 0x2d735a5c,
+    0x5a578b8d, 0xb83bd8b6, 0xff10147e, 0x83672326, 0x034f7e83, 0xdfa3664c, 0xc90fd966, 0x38026f33,
+    0xb5197a46, 0xbdbeadb1, 0x49ea67e6, 0xb7d68d45, 0x4b9842a4, 0x28964216, 0x242fd07e, 0x6073a666,
+    0x99bb2033, 0x5ba0dcf7, 0xb75b8f0f, 0x4cd8da2e, 0xddde4fad, 0x74183065, 0xcc563453, 0xbd043d4a,
+    0xc0d7bcd1, 0xca9ee094, 0xb8322301, 0xf0704334, 0x402290ea, 0x44544915, 0xd791cca7, 0x1641ed9c,
+    0x58760f82, 0x25d7a0e3, 0x8cb0a410, 0x92606471, 0xb1389ad6, 0x878ff9a6, 0x18a56ece, 0xb385bced,
+    0xab998a68, 0x936a1778, 0x18dd1bb3, 0x41b05f3e, 0x7f7120b8, 0x27851780, 0x01afd5dc, 0x0d147a97,
+    0x43241b20, 0x9072cff8, 0xd3633ff0, 0xe1661caf, 0xec2169d9, 0xafddbac6, 0x4f0f0d30, 0x7b15e096,
+    0x20cde9b0, 0xeeb8532c, 0x41da0397, 0xa6a0a6cd, 0xc976a6e1, 0xf1c960b8, 0x06f615ff, 0x7a4fdb8d,
+    0xb23c4ba7, 0x9043cdf7, 0x037e0919, 0xf51e9b7f, 0xef370127, 0xd1df61d3, 0xeabe5877, 0x7b3639b8,
+    0xbbeee03d, 0x987889d6, 0x56631ab8, 0x80e55d80, 0x366abd4b, 0x522d1eed, 0x1a99f753, 0x32708461,
+    0xe6746173, 0xa188f1f1, 0xb698b0c2, 0xd1c9f39a, 0x51f4aece, 0x29764020, 0x0f78ea99, 0xe520005b,
+    0x672a45a3, 0x6302d737, 0x1a504c7f, 0x269ea2c8, 0xbeef38ca, 0xacd0bfd0, 0x79d62ae0, 0xdbf6262e,
+    0xb33ee171, 0x3b4c770c, 0x3e51bcec, 0x56601b8d, 0xbf9a7de6, 0x018c687b, 0x68f891da, 0x54e704a7,
+    0xd044c30e, 0xac544bed, 0xfcfed894, 0x6613d4e1, 0x5d2802e5, 0x6ea77d63, 0xa6fe552b, 0x45317112,
+    0xd2e17356, 0x27f188e1, 0x8adcd7c7, 0x7e4316e2, 0x9d89b8ff, 0x382da594, 0x55fb7242, 0x0f799123,
+    0x293a3956, 0x12d8dc0a, 0xb9ac9423, 0xe6e523db, 0x30321c92, 0x3f46d741, 0x1b32c1e5, 0x1a87fddc,
+    0x38c2a0b6, 0x142b4efa, 0x63cf3979, 0xe21a0a79, 0x3c0afa32, 0x0985f694, 0x69a48d65, 0x7fff9478,
+    0x4651183f, 0x138928ec, 0xa760c0cf, 0x3f91476f, 0x0059ad5a, 0x9c69b8c9, 0x48ba957e, 0x178c89a6,
+    0xd92c2cee, 0x9219ded0, 0x5797cf7b, 0x6bf15bf3, 0xaf56b09f, 0x646933dd, 0xd62a9529, 0xe088aca2,
+    0x8332def5, 0x10794636, 0x1cd2a055, 0x7b3137e5, 0xa4adec1e, 0xd657c81a, 0x26476a07, 0xa8a9347a,
+    0xf2beca43, 0x070840bb, 0x2a857f18, 0x14ca982a, 0x589c75bd, 0xaa1cabb4, 0xb0932d5d, 0xb3cf8084,
+    0x98dac861, 0x824aaa05, 0x085ec514, 0x9f244b4e, 0x050eca8a, 0x3e2328b7, 0x5c81b655, 0x04057241,
+    0x19516fe8, 0xfe33eb49, 0x6fe45fd7, 0xbe71609f, 0x6c4dbe11, 0x98ae21e4, 0xcdea0bd6, 0xa659c395,
+    0x39f4a1b4, 0x4fcb0ad0, 0x40d67b72, 0x78b59ccf, 0x3c1d4086, 0x5e8b9bef, 0x86c34ef3, 0x576e70cf,
+    0xb13752ed, 0xefc5bc18, 0x0e4d6a9b, 0x534e71c4, 0xf617956a, 0xc0a6bfdb, 0x8cf76429, 0x38f3524a,
+    0xe3682c07, 0xc98b78d9, 0xb181380c, 0xe9a4269f, 0xea3c643d, 0x35037549, 0xbe67ddc7, 0x29ac9d41,
+    0xd300cf47, 0x7db9b4ee, 0xd83562e3, 0x28c52530, 0xbcb656fb, 0xf9cf4257, 0x9f230fcf, 0xf2d4e410,
+    0xfaaab75d, 0xa542b807, 0x5fd2d93b, 0xf44e24c3, 0x227a56d4, 0x70702db0, 0x1cc0355d, 0x7b207063,
+    0x9b510380, 0x864df254, 0x4415aabd, 0x3e27c732, 0xc304faab, 0x7ac2f55a, 0x0eb744a0, 0x43af3c15,
+    0xb833e330, 0xca831824, 0xe7a115c5, 0x8ce04735, 0x79002eba, 0x20ca9d01, 0x8208de8e, 0xeeb02189,
+    0xd68cae1d, 0x81d26313, 0x9a133adb, 0xe9eba397, 0x82de68a8, 0x70d79f69, 0x8cc0a2ce, 0x0276b243,
+    0xec0b664f, 0x6ec336a4, 0x31800184, 0xa44dfc73, 0xa08ec5d2, 0x0e9b04df, 0x01e67719, 0x393c5a51,
+    0x1b079e5e, 0x380231f6, 0xda919aad, 0xf3a4a3a4, 0x12adb68b, 0x88c41e20, 0x34288a4a, 0xb7699f04,
+    0x6ddd548d, 0x148919eb, 0xe09edb5f, 0xd7768a95, 0xa8e2d3b3, 0xf4f32833, 0xebff424d, 0x8415501c,
+    0x567e652b, 0xb47fdec9, 0x036b3929, 0x3cfc684c, 0x7139d448, 0xe046ccac, 0x6f61f052, 0xe784e9da,
+    0xa5f2eca5, 0xc8c43f9a, 0x78035499, 0x9620a0da, 0x5d240f18, 0x787d5e97, 0xc71aebe8, 0x52e83392,
+    0xe5c71f03, 0x423c9345, 0xc00d0b43, 0x3c35ec59, 0xe3dd340f, 0x5d318343, 0x59d56d69, 0x59754db7,
+    0xe9a217e1, 0x16d6be98, 0x04f850b0, 0xcb0eb337, 0xba57e809, 0xa5a70365, 0x0a897801, 0x7b57a4e2,
+    0xfd36f979, 0xb6286e45, 0xaa98c536, 0x0120a3e1, 0x831b12e7, 0x92b722ac, 0xe01d2448, 0x7119b49c,
+    0x3bde8d36, 0xc7ea3360, 0x3adced4e, 0xe895ff21, 0xae325027, 0x03649d10, 0xaf1e4530, 0xbc5dd389,
+    0x34e06603, 0x25a2eb10, 0xd142bfa8, 0xca50d87e, 0x5f191c4e, 0x05b75d70, 0xa4e881ee, 0x49039aad,
+    0x6df3e3aa, 0x08a9abc6, 0x6d1a1711, 0xcccaf27a, 0x04094db6, 0x2ccecd25, 0x4107e96f, 0x6b5915ae,
+    0x359ec892, 0x782c2dcc, 0xb6f3efb9, 0xcfd03920, 0xebec4888, 0x18b24eba, 0xf7f1c999, 0xd3a05b78,
+    0xf772645b, 0x67238ffa, 0xb4ec4dee, 0xe28d8834, 0x6acfc9d4, 0x47a4286d, 0x3a2a8c78, 0x26397ff7,
+    0x64f1f4d4, 0x612b9dd2, 0x5e0496ba, 0x54c9aa13, 0xa67febd8, 0x39623743, 0x245d084f, 0xb28847b4,
+    0x995e8886, 0x6533d929, 0x1bec4fd5, 0xf17ec3da, 0x1d2579a9, 0xe53bfde5, 0x31428017, 0x395af668,
+    0xdd8aceef, 0xc814fce2, 0x31c0f499, 0x0e27a6f6, 0xc52e3303, 0x3b8ba8b6, 0x084bbdae, 0x2955378d,
+    0x90ee5537, 0x9a5e8429, 0x2c5cda05, 0x263290ab, 0xbf8d1d29, 0xf78d7cc1, 0x9d40741e, 0x56625bf3,
+    0xf073349b, 0x0684cc4d, 0x12d1b62c, 0xf8eb689e, 0xfe0cbd87, 0x6f62fdb4, 0x68732b18, 0xc2fef752,
+    0xbe5ed173, 0xbf770d81, 0x7885cc97, 0xfc76abf5, 0x0f701008, 0x9b098166, 0xd0c18e34, 0xa03e9d5a,
+    0x6e7b6309, 0x76c598b7, 0xe2fae2fc, 0x0fbfe04d, 0x30709119, 0xf146d314, 0x5df038fe, 0xed424ba7,
+    0x9c177fc1, 0x3186b0c6, 0x20147c1b, 0xc0aa59a7, 0x9db5ec02, 0xb44d36c5, 0xa7474612, 0x66c0e11a,
+    0xfb65f75a, 0x5c20239f, 0x47dc8a93, 0xa529f371, 0x0c2f7503, 0x410680ab, 0xce56cf91, 0xea733360,
+    0xa0327505, 0x56b06471, 0x34a73773, 0xc245bce0, 0xd007b62a, 0x0bba7ca6, 0xf41c4094, 0xe3d74658,
+    0x99feecdb, 0x623e69d4, 0x8777b049, 0xcd65e608, 0xebe36d17, 0x60fe0843, 0xc2d25afe, 0x903a82dc,
+    0x297ee558, 0x905177ff, 0xf2aee8b1, 0x5b0b7cfb, 0xad25b2b3, 0x9057c712, 0x75cf0d9c, 0xef0a166f,
+    0x4944c6c8, 0x86aaef6e, 0xe56b546e, 0xb086be53, 0x31f64fc3, 0x9ba040f3, 0xb96b25cb, 0x783ab251,
+    0xc5c814dd, 0x6d2ea680, 0xa209abfe, 0x84a3eaaf, 0x3d68f381, 0xa2edfdc7, 0xccec94dc, 0x74beac32,
+    0x658efcf9, 0x5eaac523, 0x59b0f2a4, 0xc41e4ead, 0x2178f0cc, 0xc9d561d1, 0x8283fe9f, 0x220ae478,
+    0x0c251ee0, 0xae322ad1, 0x88358a9b, 0x42b9c7cc, 0xb0f5db58, 0x86c10c44, 0x5afb12cc, 0xac5943ff,
+    0x0917eeee, 0xb827dd2b, 0x2da33c35, 0x7d0aa8f6, 0x807fd7e5, 0x45e6cd82, 0x4954a516, 0x4c7b5ff0,
+    0x1c927e04, 0x33834d13, 0x7b978e90, 0x5369e13d, 0xbe21d7a5, 0xe36bf9a2, 0x786ebacf, 0xd82812ef,
+    0x225e3062, 0x264bfe2a, 0xcf04feca, 0xa494f387, 0xe7f62e8f, 0xd06df204, 0x5e336a9d, 0x2088d758,
+    0x3ef55fe8, 0xd6c93fbe, 0x44398d07, 0x2744f764, 0xe435f58b, 0x260a184a, 0xf243fd74, 0xc0edca64,
+    0x4c38b82e, 0xb2e91a7a, 0xe8b1c919, 0x124f43b5, 0xc2b774da, 0x6b4790b5, 0x8a04d6f1, 0xa4c456da,
+    0x8f31d5e8, 0x946cbdbb, 0x2ac494a6, 0xd39e2426, 0xabcfd258, 0xa96797d7, 0xd09e09dd, 0xdab10fdc,
+    0x6227a595, 0x81831acf, 0xe450b9b7, 0x30d1d842, 0xb27d45ce, 0xe24f094e, 0xe3a88a8a, 0xa9b4ab43,
+    0xd0a5b5bd, 0xb4cc3c35, 0x3be6f4a1, 0x4d94a2e4, 0x0e944299, 0x94bb7048, 0x72b6df55, 0x8ca1411b,
+    0xe7776f29, 0xff8c0131, 0x814f6a2d, 0xd23558aa, 0x6379a06b, 0x95f51dd3, 0x256bf08e, 0x6010c2b3,
+    0xfa08bdac, 0x824d64c9, 0x3e65f858, 0x9ee54f9a, 0x2dedb872, 0x2a390b73, 0x904f7aa3, 0xd02a1a1d,
+    0x1fbcdaa5, 0x51e6a3d3, 0x2a68e263, 0xe938a977, 0x92d5ebc7, 0x489eee4c, 0x5948034c, 0xfd056ff9,
+    0x334d72bc, 0xc6ff1929, 0x1390c301, 0xd379d471, 0x25558a88, 0xf5966aa5, 0xccb2af0a, 0xe5c3c3ac,
+    0x1fe5750d, 0xe061cd54, 0x016c78f0, 0x3577ee61, 0xbd2b6ed9, 0xeea50acb, 0x0ffa37c9, 0x431d4ed6,
+    0x6853ff24, 0x070690ab, 0x8b85558e, 0x30ffee95, 0x2b26c615, 0x338ab4fd, 0x1d6db263, 0x8d857ad8,
+    0x37211e86, 0xaa96534e, 0xbb46aebf, 0x749fc22f, 0xed9bc428, 0xac3be417, 0x2451be44, 0x57d04fad,
+    0x3741f866, 0x0882684e, 0x9983cfc2, 0x523355bd, 0x9e8f8c69, 0xdf56a32f, 0x9d0e3b20, 0x061e0bc7,
+    0x2810c295, 0x7d83b54c, 0xd1a31ca6, 0xdbec925c, 0xa59d3450, 0x6dd629ed, 0xac44ce35, 0x57187dc2,
+    0x6db702af, 0xa75641a1, 0x8b32c766, 0xdcc577dc, 0xeab70308, 0xe66f4875, 0xc02354ab, 0xf9e8cc84,
+    0x6a4224a6, 0x3d488b0b, 0x86c1c1fc, 0x6e6ebad0, 0xf7079413, 0x134cdb2e, 0xbe22c9bf, 0x4d84c64e,
+    0xa65a71e7, 0x29dd435c, 0xac337b41, 0x58771b3e, 0xf7603da6, 0xbe32ba84, 0x60ce461c, 0xe64e2f00,
+    0x9d6480e7, 0x255a8076, 0x25976e74, 0x05ce22af, 0x360a9b39, 0xcaba204f, 0x3e4dea62, 0xa12d380c,
+    0x9f7bfa63, 0xf93cd629, 0x24a608c9, 0x06bcce8a, 0x92537ed9, 0x1a636207, 0x96a2d1fa, 0x1c528483,
+    0x0c33802f, 0x18d1f6a7, 0xfca257ca, 0x08f5d00f, 0xee9926fa, 0x1a404483, 0xe122da60, 0x218c5c6b,
+    0x4a7add79, 0x4ec23a4d, 0xe68a80cb, 0xe79ee161, 0x30a837db, 0x950dd747, 0x5256dd55, 0x25d3dd71,
+    0x0791ec09, 0x206fbbf9, 0xfc941220, 0xc30dbd87, 0xe4feef3d, 0xca6365b2, 0xc0600601, 0xf37e2d07,
+    0x64015bc8, 0x5cff42ce, 0xac509715, 0x9bf126fc, 0xb9b93c4f, 0x424d705b, 0x64763f05, 0x1bb1a21b,
+    0x4b579101, 0x3610037e, 0x8080f4e2, 0x7752452d, 0xc46a5edb, 0x35228303, 0xd2b02604, 0x136179a5,
+    0x7c9a59f1, 0x9d6a7b00, 0x9ce8369d, 0x46b1afaa, 0x1a4c6ad9, 0x1c43dc87, 0x78277cd6, 0xfe1b645c,
+    0x2deae57c, 0x8f4ee0a9, 0xb2182ffb, 0x61b7e371, 0x481ac737, 0xde2e2620, 0xb429cb24, 0x25bad55f,
+    0x270bccc7, 0x788541a4, 0x01e1f8f0, 0xba38c4aa, 0xcf52847c, 0xb57a1e16, 0x26704358, 0x2e261036,
+    0xf45516d5, 0xdb865589, 0x598f42a9, 0xe04a5897, 0x5d3e603c, 0xa8a342b0, 0x7171d7a0, 0xa80aa703,
+    0xb919faa3, 0xed969a84, 0x34fa670d, 0x6f60761f, 0xc2f6145a, 0x65aa5e15, 0xe7af53f6, 0xb2b090c3,
+    0x52240a42, 0xec9b7639, 0x76ee5836, 0xc9df2c66, 0x00cf260e, 0x3c744af6, 0x60cf23d6, 0xd51ec0fe,
+    0xba135021, 0xec5ddbcc, 0x1ddd13a5, 0x4787bbfb, 0xe5bb1290, 0x1cc59af1, 0xaacea4b3, 0x11a9c3c2,
+    0xb45c83a7, 0x4d7e2a0b, 0x955c0941, 0x76e4d4e9, 0x2f99a12f, 0x794f9317, 0xa51eebc9, 0x1c1bfb69,
+    0x2a78969d, 0x2588b6e9, 0x622bc7b6, 0x64380da5, 0xa98f4f2a, 0x3723ebf2, 0xc3f8006b, 0x3b00dd18,
+    0xbab5fae1, 0x88123463, 0x67c9c49f, 0x40192caf, 0x072af6f2, 0x99434c77, 0xd24528e8, 0x121f2f28,
+    0x2fc7fa8f, 0xf8a7a44a, 0x1f86f109, 0x988475d3, 0x93ab1902, 0x1f5ad7ee, 0x4fbe8fdf, 0x7b080b74,
+    0xc75ebffc, 0xdebfc758, 0x07422fda, 0xe9ec81d0, 0xf2281882, 0x7ce70a50, 0xc9499e17, 0x10c89471,
+    0x14763498, 0xb24ad019, 0x61c9f1ed, 0xe930421b, 0xbcc4acf1, 0xafba4541, 0xd480b7ae, 0x437e8a71,
+    0xc7753cd3, 0x8603e741, 0x8bd1a352, 0xea3da735, 0x06298f42, 0x128bb089, 0x756fab20, 0x1cf11b2f,
+    0xe1b94c69, 0x2f76ef77, 0x6cfd793b, 0x70d8187f, 0xa168ef13, 0x398966b9, 0xa428c616, 0x73adb324,
+    0x7f5682a6, 0xca5ec71a, 0xea2eadb8, 0xffc89279, 0xc77bb22d, 0x421fad94, 0xadb823cc, 0x8c38dd3a,
+    0x172ff580, 0xf93848a2, 0x42956349, 0xb56fe851, 0x19ba17b4, 0x242cb7a1, 0xf7e920bb, 0x940583c4,
+    0xc18af7e6, 0x3afe85f1, 0xbac4f7e5, 0xdb508ac6, 0x63b583e7, 0x14a88ec9, 0x0cc039ac, 0xa2f8990f,
+    0x966cbdbc, 0xb216020e, 0xa8dfede2, 0xa7d3ead9, 0xbb7932d7, 0xc4a1ec9c, 0x1e95da5f, 0xaacbeb36,
+    0x05e35360, 0x93dc3228, 0xdb9362a9, 0xf9b2bf31, 0xd8092b6b, 0xce9cf8f1, 0xa119670c, 0xd37ab50e,
+    0x61a39772, 0xf26136f0, 0x5390a853, 0x64dfdd52, 0x62fc4600, 0x4eb0a265, 0x88cc1592, 0x48162d9c,
+    0x906b8d5a, 0x5c0be556, 0x3afeb0f1, 0xd6a09b3b, 0xf1c274fd, 0xa7b6398b, 0x7aefce01, 0xd546aca2,
+    0xe534df0d, 0x21ca69e9, 0x1356eb29, 0xfbd2e70d, 0x7a312e7c, 0x2993d966, 0xe65e4347, 0xf57e93ad,
+    0xb0c1a754, 0x1dfbed59, 0x688d12c5, 0xd75109cf, 0x746985b8, 0x275b766a, 0xd966b6b6, 0xb30d8dcf,
+    0xc205045f, 0xfc2d30cc, 0x8a191573, 0xd4742bb0, 0x9bd0469c, 0x9e16f610, 0xede6df1d, 0x1a8f6729,
+    0x467a4aac, 0xcc6fe8f0, 0x2052b534, 0x5f6bf6f2, 0x13249bfe, 0xd3fd1401, 0xec676dbc, 0xa9945d06,
+    0x12cd3bb7, 0x8ee08e44, 0x1bfa9019, 0xe9aa9afc, 0xa8fa68ef, 0xf3f97e58, 0xe9505bfc, 0x70045942,
+    0x198960cd, 0x15416898, 0xcf5e96cc, 0xcf591f6f, 0xedcb7a99, 0x5d2c0ea8, 0x0d5a7597, 0x69b99c54,
+    0x4b365380, 0x67c6ad0d, 0x5348f847, 0x1c54dc89, 0xcd4b72b1, 0x83f35f80, 0xffb756c2, 0xf8df27c2,
+    0x69fd17cf, 0x837b804d, 0x421939cb, 0x4a3a9d19, 0xbbe4f62f, 0x5be48e08, 0x53ba5d9c, 0xbf2a1e4e,
+    0x70c577f9, 0x6f07dc76, 0xc238a7dc, 0x5b24a972, 0xa0f105a9, 0xec7dd744, 0xcd1c0b1c, 0x4085df7d,
+    0x8c47cc0a, 0xa10d28b1, 0xff48b2a3, 0x3aefdef4, 0x56de3f00, 0x006f4476, 0x319a78cb, 0x28c738c8,
+    0x459588bd, 0x273f52f6, 0x3b279594, 0x2a1c9419, 0xcdce8dd0, 0xdd37e65b, 0xde18050a, 0x7e39f887,
+    0x0de9e0c3, 0x2d5246e5, 0x0c804c75, 0x28390db4, 0x544722f3, 0xafb46eee, 0xf17d4454, 0x3cb607be,
+    0x1081277c, 0x465b733a, 0x0ff30b17, 0xe6515631, 0xb1107db7, 0x2ca7430f, 0xfdf4e48e, 0x0dde49d2,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000166873987181321100\
+                          18711107079449625895333629080911349765211262561111091607661254297054391304192 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4,
+    0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e9, 0x8be66bc0, 0x8588ab82,
+    0x00000000,
+    0x883c3e7b, 0x38d9e93a, 0x9bfff834, 0x4151d081, 0xab044697, 0xe2e685f8, 0x8333ca03, 0x9e81868c,
+    0x9e09b4cb, 0x1163069e, 0x7ea70e17, 0x1d338898, 0x81143252, 0x834c5615, 0xb9d1c216, 0x9c5d0ffd,
+    0x2504f7a4, 0x93ec8d90, 0x3a17dc29, 0x2c7e273c, 0x5f8743db, 0xadac8e11, 0x9a170a4b, 0x4bfb0e3e,
+    0xbcb18215, 0x9e6eb1a6, 0xc2f951aa, 0x6c0572a5, 0xd69d1041, 0x64ba7a85, 0x252a596c, 0x811e5ae1,
+    0x53a13d3e, 0x68f74be4, 0xec175359, 0x145f58b0, 0x7e70558a, 0x0f0e0822, 0x66e16bb1, 0xb4c0ebc3,
+    0x83681b70, 0x3dd3378a, 0x4417cb7c, 0xc37c65c7, 0x99567494, 0xb232016c, 0xaad5e9e9, 0xaaf258d5,
+    0xe80a560e, 0xb1dbe3ba, 0x34896a89, 0x077d0e8a, 0x9752a070, 0xd5aa2848, 0x61d6e41b, 0x7a616af2,
+    0xff84d527, 0x14818036, 0xfe12667a, 0x6c136696, 0x124aa693, 0x09131cb9, 0x39a8c764, 0xc522d0fe,
+    0xf77d617c, 0xf6de23dd, 0x00efef3d, 0xf1f9449d, 0xe902f8cd, 0xdc5692f3, 0x10ee06f0, 0x62e66027,
+    0x33725c10, 0x41ca59de, 0xc9e395b5, 0x279a38b5, 0x8f08e4c0, 0xbd1bb175, 0x05240a89, 0x0521d4cd,
+    0x4d4d3ddd, 0x1ab2957a, 0x41b9cf84, 0x0210ca83, 0x85757623, 0x2441b8e2, 0xfce714c3, 0xb33e0b0c,
+    0xd6ab4c7d, 0xa12bca0a, 0xaa61737a, 0x8f5823ff, 0x7a237ba7, 0x1891b903, 0x496bdbcb, 0xce287799,
+    0x2d22c686, 0x4dd86293, 0x09b484e9, 0x62274af8, 0x7afaa2fe, 0x2d8c7bad, 0x5a9d01d1, 0x2e793320,
+    0x8367e4eb, 0x72b01857, 0x46f287be, 0xa73e67f4, 0xf0611d4a, 0x8f8e833c, 0x36864e69, 0x2da5ba75,
+    0x0e902eb3, 0x6ec82654, 0x8c9fa356, 0x0e962bf2, 0xb9d22d75, 0x47b3812b, 0x0add02f0, 0x914d36bc,
+    0x8ab40eec, 0x022bd81c, 0x786cf5ad, 0x9b20cef7, 0xc3e0e502, 0x4db74d54, 0x1876fb53, 0xb610c4ef,
+    0xbb6e825c, 0xf4899f30, 0xa536bc1c, 0x580e6532, 0xb2f1dd36, 0x3fee23bb, 0x3458f2ef, 0xa62856fd,
+    0x7f4f3edc, 0x80975fb6, 0x5c890798, 0x43c7ee90, 0x3c8e8f49, 0xde1da77b, 0xd8fb6ced, 0xd3b112be,
+    0xe6385b31, 0xf137e33e, 0x450beb74, 0xaf20370c, 0xc006013d, 0x2544eb0e, 0x8bc8784b, 0xee4f3573,
+    0xd57c28e1, 0x8b5d2951, 0x97cf085e, 0xa26ceb08, 0x89f63a12, 0xb0ca533a, 0xc52734fe, 0xe0d4b644,
+    0x14ccf8c4, 0x3c1047be, 0x49dbc84a, 0xdc2d6970, 0x7cf0b758, 0x232f3385, 0x28c93f50, 0x8769bcb2,
+    0x05ac6a67, 0x65620417, 0x7e7cd8c6, 0x11483369, 0x30297491, 0xb3195c71, 0x715f36ec, 0xd0cbe1d9,
+    0xdbf87181, 0xf92eafcd, 0x602410f8, 0x0aaad051, 0x5846ecd9, 0x8b71e25f, 0x58c2b2fc, 0x9c26d696,
+    0x3d44995c, 0xfb7e9046, 0x7bc9f080, 0x30504729, 0x5807e713, 0xea73e41e, 0x70c8bcba, 0xdfdbc5d4,
+    0xc37e8f2e, 0x7d1ef0c8, 0xe9bf0b24, 0x6b7e5e6e, 0x992d9fd7, 0xa244418b, 0x21c22671, 0x4ed5d6cb,
+    0x46a7ab2c, 0x3aa35c97, 0x749a5b60, 0xbcf00e0f, 0x9d6b7808, 0xb74d3b58, 0xc2bd884a, 0x60a7e4b1,
+    0x297afac7, 0x660fc75d, 0x86010ac1, 0xadb0a154, 0xdcede1b8, 0xa035dfae, 0x59b8a6fd, 0x1e36ac84,
+    0x1f3166aa, 0xf33374dc, 0xa2cdd1ad, 0x2cfaa8a1, 0x7127ccf6, 0x37a67db6, 0x9d160c80, 0xbb7a19d2,
+    0xd3b83972, 0xc46fd28b, 0x333500a6, 0x3a079554, 0xd388ac1c, 0x6c5284ab, 0xa385f07c, 0xcd204e41,
+    0x15fbc4ce, 0x0b5205c8, 0x60ac83fa, 0x08e706ec, 0xe3d799e2, 0xcb35a7c9, 0x68f5a78c, 0x0589f313,
+    0x0d96eaf2, 0x83292c0e, 0x8ea2530f, 0x3c760fa3, 0x945c06f5, 0x3a13d4a6, 0x7b3666f9, 0x32b89c89,
+    0x96a12777, 0xa291dc00, 0x724ed32e, 0x58dff61b, 0x4456b263, 0xd24308ec, 0x86a6a283, 0x6c904ac6,
+    0xbfe647f8, 0xfd2ac7e4, 0x5f8e6c0c, 0x03b5b6df, 0x01731d03, 0x8e9d5d61, 0xb98e814b, 0x8aaacf5a,
+    0xbf8b692d, 0x2208212d, 0x3a8fb178, 0x808b5a8a, 0x43e3e7b1, 0xf0e56ebe, 0x7ad6f69d, 0xf5dd481f,
+    0xa999ab65, 0x7c3fe0bf, 0x82eb0105, 0x4359109e, 0x39c1582b, 0x3baca855, 0x51b747f1, 0x8e7808a4,
+    0x4cfde9f6, 0xe9c8ea30, 0x8a818796, 0x85dd659f, 0x60dc4dfb, 0x7fd393e4, 0xfe9aed6a, 0xc0d82b3f,
+    0xf4ec71d7, 0xa8590942, 0x139103b0, 0x4335bfcb, 0x1f1b65f5, 0xc5074620, 0xf37e3635, 0x3ce64790,
+    0xf98e7d54, 0x3a932f84, 0x2b5582ed, 0xab5a0fca, 0xdcd98bcd, 0xbeb947ab, 0x1994c90a, 0x1fd1be11,
+    0x55e04a65, 0xaa4bc43a, 0xbd658dd5, 0x83ea80f8, 0x3547e990, 0xd131f8e1, 0x489d6dfb, 0x9dd15e8b,
+    0xff656dc7, 0xcaf99b24, 0x46ed71fa, 0x9c1c9b09, 0x56351887, 0x3dee3318, 0xffab591a, 0x32cabd7a,
+    0xc74a7ba9, 0x313aa22f, 0x624f6e31, 0xe753600c, 0x10d15ac7, 0x8f5fdde5, 0xb9960902, 0x09af85e8,
+    0x6995f7d8, 0x7b11431b, 0x678ad8f5, 0x6f64a821, 0xd0b4cbfe, 0x87c7f518, 0x31709d3f, 0x0eb49f7b,
+    0xf5ba35f6, 0x3317aae6, 0xb809320c, 0xa0379e27, 0x6b4d61f5, 0x7f074b8b, 0x7084b88a, 0x1380fcad,
+    0x7072994d, 0x5fade462, 0x7f4fa222, 0x4b48eddf, 0x0cf58055, 0x44fb8daa, 0xb50046ff, 0x1cee74de,
+    0x4a4abc41, 0xe8f3bd78, 0x63fa5d96, 0x60fc522b, 0xc696baf6, 0x95283a74, 0xf660a04a, 0x2d70f16a,
+    0x4545278c, 0x9162434f, 0x6d4540f2, 0x3529c688, 0xcb5942c0, 0xf0575c0a, 0x431fd69c, 0x597cdc8f,
+    0xf89a28cd, 0xa7e5f79d, 0xf3c153e7, 0x6f8cf115, 0xb0e6e684, 0xd8fb5a55, 0x79cceae5, 0xcd08bd12,
+    0x6b2e1a4d, 0xb3bd37d0, 0x03a4d8f6, 0x82013b5f, 0x16812830, 0xb80df33c, 0x75fd9856, 0xf5ffd12c,
+    0xe57e5882, 0xc90c79e9, 0x0746928a, 0x350a9f79, 0x9932e509, 0xa6b55a83, 0x973b020f, 0x8008b42c,
+    0x73d87c47, 0xb2bca6d1, 0x23c6ebc5, 0x6bf1cd00, 0x289eabd8, 0x193fc125, 0x6bf12c6f, 0xe0a702a7,
+    0xdee3080f, 0xbad6ebcd, 0x8e7f0a5e, 0xa7fb6e00, 0xa95d886e, 0xa915354c, 0x0d07bb3c, 0x0d357734,
+    0x7e79a14a, 0x94c9a039, 0x0b8c7bb9, 0x0da5afcb, 0xd886dc00, 0x5e87d4e6, 0xb8500db7, 0xc72b6d90,
+    0x36acd20e, 0x59b89183, 0xf246f87d, 0xbfd8b7c7, 0xf4d831a8, 0xc24e795a, 0x1305e845, 0x18aa09d0,
+    0x19c4a64a, 0x4d02c6cc, 0x16690080, 0x99a492ea, 0xcbbe1638, 0x3d56ff14, 0x8079dbe7, 0xc29507e1,
+    0x46f1b27a, 0x47d59e86, 0x3e577de0, 0x3d674ec5, 0x26784501, 0x993cdab9, 0xc9951fd2, 0x0579ef82,
+    0x91185998, 0xb7742c79, 0x4e4a0023, 0x59141533, 0xf6d1fd4f, 0x308c9542, 0xb9c9aaac, 0x53b73a92,
+    0xb76a3865, 0x15a993b2, 0x6125a457, 0x130a8d86, 0x8342cb10, 0x084c4b96, 0x6c10571d, 0x04d692ae,
+    0x1b4ca36c, 0x2e866285, 0x4b6f49ee, 0x09074249, 0xaaba32e2, 0x2d305b68, 0x8603371a, 0x6e40e442,
+    0xd17c9f0c, 0xe2ab134d, 0xc3faae8d, 0xca0eea59, 0x32a01632, 0xf4175e35, 0xd2b849a6, 0xd04f1b57,
+    0xfc79a81d, 0xd75c6401, 0xd1885d46, 0x6b38b0fe, 0xa6ac7d1a, 0x1b077af5, 0x92029ee2, 0x6898d8c6,
+    0x97903042, 0xbadc2e9f, 0xc2bc1f47, 0x7d0fc85b, 0x627b1be6, 0xd5e4fa24, 0xf05ca0b7, 0xb77e2303,
+    0xf3e8f18e, 0x76cfc872, 0xb0856170, 0x87875f85, 0xecfd5110, 0xa99d2c3d, 0x1dddb763, 0x0db650f8,
+    0x60e75a81, 0x912094d6, 0x5ebebf76, 0xfa7d0492, 0xb96b0f03, 0xbb56a68c, 0x3bcc5d9b, 0x030be4ce,
+    0x65da786d, 0x941483aa, 0x3b2dcae4, 0xc1245e97, 0x3d5f618b, 0x865c3147, 0x977a6054, 0x9e3e3b24,
+    0xf6145cd3, 0xa94a03b3, 0x9d598328, 0x1ec0b74a, 0x0c2c6655, 0x8c8196c8, 0x155c86a6, 0xc6592e2b,
+    0xfddb11b2, 0xe5cfae5f, 0xb78b64d2, 0x43a56eca, 0x39429763, 0xeb0c9855, 0xd50de6d1, 0xcf0f86f4,
+    0xa318aaab, 0x155fb1cb, 0x6ac8e15d, 0xd093260f, 0x76e44619, 0x721d77de, 0xbb9512d2, 0x825c8bf5,
+    0xb133fb09, 0x84c242b6, 0x60acdba4, 0x71adb467, 0x91cbdd03, 0x80b82202, 0xc5051a50, 0x09cfd66e,
+    0x1ab09b86, 0xdaf6e55a, 0x410a8a70, 0xd6f095fc, 0xfebfac93, 0x112f41f6, 0xf88b415c, 0x5fa94085,
+    0x89383a70, 0xee8398ae, 0xd0f378c1, 0x9d7161c6, 0x3437a7ff, 0x51c060bb, 0xd44ed993, 0x06256ebd,
+    0xf8b36764, 0x4eb90d97, 0xa540cef5, 0xd3838cd4, 0xfc3a88bb, 0x75a249f0, 0x5f8be24d, 0x0fc2c620,
+    0xf0d9e905, 0x27a0542c, 0x994f00ef, 0xe45cbc57, 0x886ff350, 0xab8630c1, 0x27132ff0, 0xad2fd747,
+    0xa0be270d, 0x2e5f6a2e, 0x0a05a1b3, 0x0a819cd0, 0x4f05c1c3, 0xb56e91eb, 0x3d5e61a8, 0xf18748d4,
+    0x150b107c, 0xffc3cf00, 0x8b562af1, 0x5b2a6b65, 0xb0ce8e5e, 0x80f640ef, 0xe8117c46, 0xd49abe78,
+    0x6fe709c5, 0x4abd954c, 0x1ca4510d, 0x9b4392e2, 0xe3e5eab4, 0x5df2577a, 0x630920ee, 0xe3963a13,
+    0x0b5f5abd, 0x70c524e2, 0x5aaf5920, 0x41ee1bef, 0x3b4cafcf, 0xb5fcb1bd, 0xb83b168a, 0xa1e57098,
+    0xee663068, 0x488b6701, 0x634953a2, 0x74604424, 0x8c344ecf, 0xcbc54fff, 0x737c01e0, 0x4ce90355,
+    0x199160d4, 0xad67d2b9, 0x424beef4, 0xde0fa0f8, 0x1aec25cf, 0xecdb3f06, 0x1bbe956a, 0xf89c2546,
+    0xeb31d075, 0x0630cebc, 0xd232a186, 0x24487678, 0x8e943c77, 0xffa4b682, 0xba414e0f, 0xedcb37c4,
+    0x062fc088, 0x4b62885d, 0xda7b1be4, 0x38ce8fde, 0x3d2ce9ac, 0x5f987b08, 0x45acf874, 0xbf12ce67,
+    0xfe8e53e0, 0xd21fa08a, 0xd07d787c, 0xb25bc12d, 0x39d0f262, 0x79ce6594, 0xd37a57e4, 0x80e5fe02,
+    0x027c4957, 0x62ed922d, 0xb98327a3, 0x0c114594, 0x75d29332, 0x40f45e72, 0xc4c352ba, 0xff272475,
+    0x31f97d72, 0x32d303b7, 0xc2b56c76, 0x8aa2441b, 0xb6d1a65c, 0x1baf372f, 0xd33b0b8f, 0x3a3640d8,
+    0x22da2875, 0x8242bb0d, 0x9433c50a, 0xe009eb43, 0x34741500, 0x7d1f143f, 0x69ebed06, 0xd2c63dca,
+    0x96da120a, 0x66f238c4, 0x12f480b2, 0x94d4ddfb, 0x4d1e6c75, 0xed3e1345, 0xe996faa4, 0x667dd7a8,
+    0x41fd55d0, 0x771eccef, 0x34db7040, 0xba13590d, 0xa0d89488, 0x507a339a, 0x2376653a, 0x1a5090b2,
+    0x4df4ca09, 0x9d906fbc, 0x7d3816b6, 0xf879f199, 0xf78d32c4, 0x09115c79, 0x714b8fda, 0x2e532824,
+    0x26dfea21, 0xaecd67fa, 0x0c47b043, 0x97f765f2, 0x173905f8, 0x798b9081, 0xc4563dce, 0xafe2dc66,
+    0xd7fd74ad, 0x98e6a72d, 0x2bbd8e31, 0xe7efc4ba, 0x2c2c190c, 0xc583ede1, 0x36b92aee, 0xf96cc2d6,
+    0x44f4bd4c, 0x1a84caed, 0x90294002, 0xd89fa9b0, 0xc76b754d, 0xf832ab77, 0xdaaf238d, 0xfb03445d,
+    0x22abbdba, 0x53844f0a, 0xa5a73e7d, 0xba6a88ce, 0xf4b030af, 0x786b5532, 0x1fe07e87, 0x91786ca0,
+    0xbb647419, 0x56457b9e, 0x1bfde31d, 0x56f51a0f, 0x58cd66b9, 0x691c2069, 0xc721735a, 0x18b078f5,
+    0xa870b875, 0xc666adc3, 0x58fbd537, 0xbb393f09, 0xf12a1527, 0x45de879b, 0x5ad6d47b, 0x6c08481d,
+    0x8898f2fe, 0x9475402a, 0xddeb9c96, 0x11ef69b6, 0xb94d55e8, 0x2a003999, 0xefa6c3e3, 0xca8154ab,
+    0xf88248e9, 0xc82bec34, 0xb6707f97, 0x7fe7da5d, 0xe0ce2a7f, 0x67893350, 0xc545f031, 0x0ed90f94,
+    0x61da8288, 0x78ad724d, 0x21001d8f, 0xa49e3464, 0xf1fba93b, 0xa71c4066, 0x4deee177, 0xc96d0fdf,
+    0xeb943060, 0x8cb5e6b4, 0x18683d02, 0xf30485f6, 0x44ca6411, 0x109a7ddc, 0xc1753483, 0x8a00bdde,
+    0xf7a02a61, 0x1e8e121b, 0xf7cbacf1, 0x3541249a, 0x95269bb6, 0x0eefd85f, 0x471eebcd, 0x89acb90d,
+    0x4b4ea897, 0x0b18cf15, 0x84afd5a9, 0x6b455364, 0xc772891c, 0x3c84b536, 0xc701cf2e, 0xcfbce733,
+    0xbfc14f78, 0xa5472a36, 0x69885802, 0x6d1c4951, 0x724e39e2, 0x7c8cf210, 0xbb757e07, 0xae90869d,
+    0x28b8725c, 0x9f757134, 0x3611c1e3, 0xab8643c0, 0xd22ad698, 0x7254262e, 0x5e94283a, 0x8784a57b,
+    0x497e71f6, 0x5bfb6909, 0x0548bb66, 0x544324c2, 0xa90f3031, 0x9ede3dc0, 0xc4aeee5d, 0xc705a0f5,
+    0x858b6021, 0x42554a57, 0x16a50a5a, 0x2aaefecd, 0x38d7b1d7, 0xcdcd5880, 0x1ca34059, 0x99941b0c,
+    0x1f812838, 0x6139b663, 0xec36d080, 0x29e50002, 0xa8d06cb9, 0x84853b1e, 0xcc5384e0, 0xbf7b3cf6,
+    0x0f020d47, 0x19c3198d, 0xe79f4d2d, 0x64f916da, 0xe8c0c52f, 0x07a306d8, 0x03211a22, 0x2f6603ed,
+    0x849c74bf, 0x76651153, 0xab25e8ab, 0x81d76e69, 0x80838943, 0xc8b7cb11, 0x09d0b95b, 0x00af4819,
+    0x0df46dcf, 0x8bad5d51, 0xab3c3ac4, 0xdfca68d8, 0x87e47cf0, 0x076c8391, 0x2d72f3c5, 0x5d5e0511,
+    0x87b2b58f, 0xc45534d5, 0xa41d0c09, 0x7f0e8093, 0x61a24c5b, 0x94a353e1, 0x531c01f5, 0x0dddc181,
+    0x5e19388a, 0x724a3af3, 0x35635b0d, 0x89b6cda0, 0xf2561647, 0x5188e02b, 0x4f9505ef, 0xc10a0ad5,
+    0xf550cc80, 0xcd425c2f, 0x83c36349, 0x3668836d, 0x78994441, 0xe72bbc94, 0x571c603f, 0xe7115a4d,
+    0x9cf79bf8, 0x542b0943, 0xd136986e, 0xb534d065, 0xb22a1dee, 0x1a88703d, 0x2859c78a, 0x3ad1562f,
+    0xdef28a04, 0xd4293cbe, 0xee288d6c, 0x5dee6edc, 0x092a4b18, 0x3c5d58b9, 0xe11ca2ed, 0x99354b75,
+    0x27733701, 0x0a350f1d, 0x8ca0a64c, 0xbf47a329, 0x79659ce0, 0xb916f19e, 0xa7f7d0b0, 0x47871da6,
+    0x1a870700, 0xad54261a, 0x5a2f9892, 0xa89ed1b5, 0xdd0e9d5a, 0xeeb5a721, 0x2b5d3ecd, 0xa16297c9,
+    0xf5539899, 0xb2148a69, 0xf38f8efa, 0xfe1aa1dc, 0x301873ab, 0x18aea616, 0x2d5e5375, 0x283b16f3,
+    0x0c66c5fc, 0xf0aaba3a, 0xeb41d1b6, 0xa7ab5332, 0xe2f84cc6, 0x260b24c5, 0xb822a6a0, 0x76c13ee6,
+    0x9c8663d4, 0x471ef819, 0xf113d0d4, 0xb44a620b, 0x9c873431, 0xc81c96c6, 0xa9bf75f2, 0x493aa0ab,
+    0x379109c1, 0x0856253d, 0xcb0b524d, 0x9acb05bf, 0xd8ccc99c, 0xd4d83846, 0x78cdf4ba, 0x252481cb,
+    0x72408db8, 0x873fea7b, 0x9a4ca14f, 0x61d6d404, 0x7341dc26, 0x99993fe8, 0x40849a90, 0xc68ce1c8,
+    0x44a7e4d7, 0x1e0fa97c, 0x2e9a09e2, 0xa361b22d, 0xd7382dac, 0x0554f2de, 0x3d2a7652, 0xf0d1f868,
+    0x5102c137, 0x5c3300ae, 0x69cd6b41, 0xcbca3723, 0x74abb8ee, 0x010f2048, 0x1b3ae249, 0xbb8674c6,
+    0x0759f52f, 0x391d99a3, 0x9b50b173, 0xeadeff4c, 0x036644ab, 0x1f13ad9d, 0x3fac7830, 0xf8202482,
+    0x7fad0118, 0xae0731a3, 0xf02651bb, 0x5a3575ad, 0x63b26a09, 0xbcf7a848, 0x873173f0, 0xa08be4bd,
+    0xa406576b, 0xd0fa5821, 0xb0bb4a3c, 0x3a31ac63, 0xc26d5a05, 0xd3148cd5, 0xc0c46870, 0x3cafc984,
+    0xa14e4701, 0x90e147af, 0x292e2938, 0xca5552aa, 0xd8face60, 0x6d236ef7, 0x274460b9, 0xb27d67bf,
+    0x0bf23228, 0x1ea40883, 0x8c7dc4ea, 0x95b1f203, 0x8fe11591, 0xc9af6235, 0xf5727346, 0x21266f3f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000083436993590660550\
+                          09355553539724812947666814540455674882605631280555545803830627148527195652096 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea,
+    0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f4, 0xc5f335e0, 0x42c455c0,
+    0x00000000,
+    0xbac07797, 0x229a40ff, 0xe7f50fbb, 0xd539944f, 0x0adb086c, 0x88147a12, 0xc22aae2c, 0x0cde4d79,
+    0xe2e4f354, 0x4e6b09bc, 0xce95fe83, 0x5fcc8318, 0x9a83690b, 0x5772da0e, 0x5fac74ea, 0xe6dc49d5,
+    0xf8bf036e, 0xe341f5e2, 0x43ef45f9, 0x05359b04, 0xa1a14ca3, 0xc48491db, 0x84d3a1dd, 0xcb1350e9,
+    0xfffbee8c, 0xabb0e58d, 0x4c5cb4a2, 0xec351623, 0x41ed6aa2, 0xb8ee05e3, 0x93cf76ed, 0x78ae490c,
+    0x2c2becf5, 0x151c63fa, 0x353c3d28, 0x28e63aed, 0xa4a9af87, 0xcedfd5a5, 0x57a3c53b, 0xd966679e,
+    0x97e6d7ed, 0x3fe61149, 0x6891dde8, 0xb1f37df8, 0xbf5c8035, 0x99511162, 0x45fc7b95, 0x137977ef,
+    0xb7d1c4c5, 0xb8133e9e, 0xf7bb26f0, 0xadce1860, 0x7984e1f7, 0x32a329c6, 0x11a601a7, 0xc16b861a,
+    0x34b97e28, 0x752ad8a4, 0x9ac6d6f8, 0xcc1f105f, 0x17d1c593, 0xcf6d58df, 0x265fbed5, 0xa3f5dc5f,
+    0x748b57e0, 0x936ea7af, 0xc9d82de6, 0x8a20d707, 0x984933ed, 0xfcd94ad5, 0x342f4c0d, 0x2d1f4772,
+    0x7fbc017b, 0x38daea6d, 0x86e5e4ab, 0x9393503e, 0x7d28e7ae, 0x09bcfc4e, 0xd409098a, 0x5a46604a,
+    0xd143368e, 0xe59ab35e, 0x3bf930bf, 0xff2c6d0f, 0xb2a0c141, 0x108865b6, 0xb6d94c4b, 0x4d9776c3,
+    0x1afcff23, 0xb7b76c7c, 0xec6fc606, 0x57d3bc1a, 0xc9417a74, 0xae186187, 0xeb177cfd, 0xc30b17ba,
+    0x90533874, 0xaaef11d9, 0x226aaf6d, 0xae5dd319, 0x48479c69, 0x79c2601a, 0x00085abe, 0x505da38a,
+    0x67675376, 0x6ea503f4, 0xafca3d89, 0xb579d47d, 0x047b6314, 0x4d4e8d32, 0x1d1da026, 0xabb7bdeb,
+    0x781bf914, 0xb84052f4, 0x839a1d76, 0x9eb63ff9, 0xee7dcdd1, 0x83dc9fb4, 0x3648fb9c, 0x3eebd3a1,
+    0x36804464, 0xbf62d583, 0x6dd43f21, 0x76420ebd, 0xca682c4a, 0x921d335b, 0x87f25790, 0x84575c60,
+    0x31c6b4fc, 0xfaa8fa06, 0x13bf999b, 0xb4cd0fe0, 0x9f978d57, 0x137cc959, 0xeed67f8a, 0x72fb8332,
+    0x8e3b1d7e, 0x315d7dc1, 0x977ea536, 0xdb3c3d49, 0xfe0b5b2c, 0x5ec433a4, 0xc8025c1b, 0x86309b6b,
+    0xb90e951e, 0xe306cb9c, 0x8dcf054b, 0x845b6806, 0xa63bc808, 0x432f0506, 0xca870283, 0x7f3fc1c4,
+    0x44f76942, 0x3218b263, 0xafebe148, 0x0bd0cc70, 0xe902b079, 0xa3ea9e47, 0x2c8b7c80, 0x71d85696,
+    0x05a788af, 0x1e396996, 0xe987b126, 0xd7638cbb, 0x51f7bccb, 0x272dfab0, 0xad134922, 0x948c00c2,
+    0xf2c828ed, 0xfd45ad22, 0x9d30c3a6, 0x557307bd, 0x5822a0ab, 0xc0cb84d3, 0x9219962a, 0x44e24fa8,
+    0xcf47f9c0, 0xc777f95e, 0x83a54a8e, 0x80d9eff9, 0x55a88ef0, 0xcb0e4578, 0xadf61dea, 0x93bae191,
+    0x2d6a03b2, 0xd9e59f29, 0x54b6e999, 0x8b7ff4ea, 0xc15ae6f8, 0x44fe3d55, 0x1f19b093, 0x7b8d51b9,
+    0x2f858fa4, 0x6913ad45, 0x106842aa, 0x7a5dcdc7, 0x3c9cbb34, 0xa6f2507c, 0xa1f34fa2, 0x1a6e51e5,
+    0xdc7f6423, 0x877091a2, 0xc16cf15e, 0x72f60300, 0x8fd836df, 0xa37fb2fb, 0x2836466f, 0x3012efc6,
+    0xefb49c34, 0x7cf0b7b8, 0xfa2140a4, 0xe5c20aca, 0x009f630c, 0xb6a29faa, 0x2c365e2b, 0x5ceaec1a,
+    0x657975fe, 0xf36faf77, 0xaa759b8a, 0x25360256, 0x364ce150, 0xad0a5a68, 0x651437a7, 0x4c9f3507,
+    0x78371752, 0x2afc5520, 0xeaa8b17f, 0x5a8b8bae, 0x12bf944b, 0x45976ea7, 0xda185658, 0x4ea592d4,
+    0x9a64c82f, 0xf605133c, 0x16f998ed, 0x3d955d0f, 0xcbd1be37, 0x0ef3d728, 0x4fb22266, 0x4d153039,
+    0xccc3d173, 0x1ee02411, 0xd90906b8, 0x76960bab, 0xedee43bc, 0xc9371928, 0x8d16453b, 0xe4a2642a,
+    0xb20a2004, 0xf907c2a4, 0x70156e1a, 0x0634128c, 0x361ccdb3, 0xc1e00346, 0x825886f7, 0xff27d7c3,
+    0xeda5a3b6, 0xb86b93f8, 0xdb70a324, 0xa3fe47c1, 0x872339d2, 0xf139b626, 0x820d9613, 0x81197847,
+    0xee7e6740, 0xde0acd1a, 0x4195c2db, 0x32173958, 0xdcffe982, 0x1481db9f, 0x56491a15, 0x0ac7f578,
+    0x1108d503, 0x109cae96, 0x92539812, 0xd826a7a0, 0xc00ac4cc, 0x086cc5f9, 0xbbadda13, 0x7b578df3,
+    0xb9879700, 0x6669413a, 0x5d4fed74, 0x0b88062d, 0xd916847d, 0x8ec8d656, 0x9d7e2133, 0xacd079af,
+    0x51e2e6ed, 0x2aae9982, 0xbbca07d1, 0xd0784fcf, 0xf8d76b9f, 0xd9db234c, 0x4f05dd49, 0xe6ca0ff8,
+    0xca8dde44, 0xf05c9a3d, 0x01cc288b, 0x37a767b4, 0xf66297c2, 0xbf2d25f6, 0x40e69af0, 0xd0fd158f,
+    0xc9bfceae, 0xdab11a15, 0xe69edea8, 0x007ff1ce, 0x3c7ac583, 0x0483178d, 0x4c63ae91, 0x97e71631,
+    0x54db4c2c, 0xe54b0d83, 0x31aed792, 0x6e624207, 0xef8a77c6, 0x1a8ad658, 0xe2933820, 0x4a9adbc0,
+    0x0f51e23d, 0xe8da5ad6, 0xb4afa9ac, 0x90529eca, 0x637b1635, 0x6945702f, 0xb010ca9f, 0x94c6f06e,
+    0x027cd99e, 0x9e35776e, 0xccafbf6a, 0xebd5d73d, 0xb96d81a4, 0x125ea474, 0xe62feba5, 0xdcd89bc3,
+    0x745e6e3e, 0x65c26f54, 0x33bedc1c, 0x9e545ce8, 0x388c2060, 0xc370dbc3, 0xc9cdeff8, 0x2b19e2fd,
+    0x2242cce7, 0xcbd9c14d, 0x9ad811b4, 0x10c8e294, 0xc01cf08f, 0xfb2d8b6b, 0xdf43cbaa, 0x703aa905,
+    0xdaf3e902, 0x8a895ac7, 0x2755687a, 0xda552cac, 0x552ab718, 0x090c3686, 0xd4406f02, 0xc2576e1a,
+    0x4e81528a, 0x8dc21e62, 0xd908e42b, 0xf41026da, 0xd8ca5c3d, 0xde35a535, 0xa5041e61, 0xd541085e,
+    0x3db17667, 0x333011d1, 0x8f822807, 0x05ea329f, 0xe61bb8d1, 0x977eabad, 0x3be32919, 0x4a2ff857,
+    0xa9c8f139, 0x384a962f, 0xad80e927, 0x8723dd06, 0x9c752ed9, 0xc16f98c6, 0xfb30d168, 0x47b328c9,
+    0x08ae0947, 0xad277052, 0x85fee87d, 0x821e4b62, 0xede4cbe6, 0x19f6ff59, 0x007c4b8b, 0xc9789d22,
+    0x455d166b, 0x9403cdd8, 0x129ae5e5, 0x06725fd9, 0x3d009d45, 0xeb8807c8, 0x37d5e4b3, 0x232e4d43,
+    0xacb4acd8, 0x46b59a65, 0x900263f6, 0xa3be7ab5, 0x608877bc, 0x2fef5155, 0xcf3688aa, 0xe3668007,
+    0x04213a06, 0x4dd2c5e6, 0xd2020fdb, 0xa7d29c18, 0xc517bdff, 0x9b2a710b, 0x77d824ea, 0x8ce5e9f4,
+    0xd148a1a6, 0x89112bd6, 0x47f487f0, 0x826ebce3, 0xbc5850a9, 0x75b2ee73, 0xd069da18, 0xf18defdb,
+    0x57eb8cb3, 0xa2d949d8, 0x03eed619, 0xaa14571e, 0x07d617f4, 0x6b14cf38, 0x35dcb900, 0x6c863b54,
+    0x2190a3f5, 0x9cebdd52, 0x16563a05, 0x7aa2f3a1, 0xcbb17479, 0xadcffa4b, 0xbee2bf01, 0x45766ac6,
+    0x3fe72727, 0xbf8b8944, 0x2c2a0fcc, 0x80547038, 0x4a4d0b4d, 0xeb861536, 0xe617b64a, 0x1504f4d7,
+    0x7c222883, 0x497dfcea, 0xffb67bc1, 0xcfb8cd74, 0x53533a94, 0x6a75fe50, 0x9fafc32a, 0x0edb6e87,
+    0x86463bc0, 0x1ffeb805, 0xab95d264, 0x39db653b, 0xe651f0f1, 0xfa65a76b, 0x871efdad, 0xee052010,
+    0xd9265d92, 0x2c7c7e1e, 0xc98714af, 0x3de65d2a, 0x51007ac0, 0x5d871c91, 0x7e1ab616, 0x49fc4063,
+    0x1fe1726a, 0xb9776cc0, 0x20a836d6, 0x50248466, 0x8f2a4fd2, 0x3cc0f888, 0xc7bac062, 0xed8b8f31,
+    0x49e9db67, 0x4c3a1891, 0x71e9a442, 0xa4c8021a, 0x9ce32f95, 0x0b649334, 0x367d9abc, 0xf773b4d0,
+    0x991899c6, 0x2094e681, 0x5180a6a4, 0x768befb1, 0xffef5a3e, 0xf805bb23, 0xf97f3d22, 0xdce4a80d,
+    0x605228dc, 0xb1271c24, 0x201d862a, 0xdf0cde99, 0x6f60b7ac, 0x374b12c1, 0x972a71b7, 0x7856fa4d,
+    0xe3dcc595, 0x750a4f30, 0xe25256e3, 0xc4d8db75, 0x2809fec9, 0xa95f1f1d, 0x6d923c56, 0xf00232e3,
+    0xee1299df, 0xc2d868f9, 0xa25c76e1, 0x5146af10, 0x58ea2484, 0xc92f3918, 0x0aa5cb66, 0xc740c813,
+    0xf69dfca6, 0x97ca6d93, 0x43e7b4d4, 0x4dae5a94, 0xae7e9115, 0x9113c188, 0x494e6a98, 0xa41c908a,
+    0xde0fabca, 0x39f5b539, 0x914b3632, 0xc5ffba2f, 0x0381f731, 0x45b24676, 0x801f574d, 0x7dfd8571,
+    0x1ee3771a, 0xf8eb0972, 0x9869435a, 0x7b67d1e5, 0x1986cd56, 0x34ce4b94, 0xb67c7c88, 0x3bde5809,
+    0xb47415a5, 0x19851bd1, 0xf968442a, 0x3b488f24, 0x1d031a14, 0xf7a33963, 0x8d810299, 0x2271c79a,
+    0xaf7a72ea, 0x45f5a443, 0x3fc37e58, 0xcade1d44, 0xe7d38ef0, 0xdadc4401, 0x8964fe6e, 0x5571c97a,
+    0xb505144a, 0xc7591a2e, 0xa9c2e910, 0x0cb8b371, 0xb44feaeb, 0xa1e90906, 0x908d7237, 0x91bdd0b4,
+    0x338fc846, 0x66f9a426, 0xe8d9f482, 0x73b1e9b1, 0x516b80db, 0x81f55304, 0x83c7934f, 0x3afd7296,
+    0x527d6c4d, 0xdb402e3b, 0xe93a88ee, 0xb5c255ed, 0xbd097997, 0xec528186, 0x927edc09, 0xf54fc122,
+    0x1f0dba5e, 0xe5e93014, 0xf35051bb, 0xc5431431, 0x721b4a9e, 0x30ce9654, 0xc536d571, 0xd23efa10,
+    0xf4d39352, 0xf9ba1f13, 0x9cdd38ab, 0xce9195e1, 0x492d5cc7, 0x0ec64fba, 0x85ac7972, 0x582f0898,
+    0x3bf4bd86, 0xd60f3c21, 0xe53c88a3, 0xdca4ba46, 0x60445b4f, 0x61ed556b, 0xd680f7c5, 0xa14ac82a,
+    0x3cfd9e86, 0x2c24c9ae, 0x2dcdcc0c, 0x5cd1d7e2, 0xc4e5196a, 0x72dfa8fd, 0xab0bf396, 0x5565ce56,
+    0x84fd0b58, 0xbe655766, 0x9d3926ef, 0xff589ca4, 0xfe7e1d71, 0x231ee669, 0x012cdd8a, 0x113a1937,
+    0x8a953bcc, 0xf047fdf6, 0xc0b5098c, 0x7e6a447e, 0x307bf31d, 0x24edcaee, 0xc4e0d859, 0x7ce09982,
+    0x336c1cf1, 0xb26d6cfe, 0x37c78bba, 0x189cd2f0, 0x7ea98a2b, 0x97730bc9, 0xc47515e3, 0x3b2f125c,
+    0x602481a4, 0x9dee86d3, 0x17ec25ef, 0xdc0a693e, 0x90f0f780, 0x9f849fa8, 0x69b32c08, 0x14653ff9,
+    0x39a9e8c4, 0x313ab65c, 0x54b36609, 0x212c66d4, 0xd77e16c5, 0xa72971a4, 0x55f433bc, 0xbb1ec2c4,
+    0xeab071bd, 0x8e31f134, 0xe09c15fa, 0x36a5f380, 0x84f6bb29, 0x41cc56c5, 0xb9313774, 0x7496a82f,
+    0x1e8d094d, 0xb9348679, 0x2d4fabe8, 0x5adb4819, 0x00912768, 0x5fa4d295, 0x5f451c64, 0x3dcd45d7,
+    0x4e03fab1, 0x20032e82, 0x816c075a, 0xde79e876, 0x23d34c01, 0x68a87e48, 0x4ab3e09a, 0xa322c8ec,
+    0x769e2b22, 0x68b08b84, 0x4e3d3007, 0x75fcf13e, 0xe3899d2b, 0x5189ab80, 0x1345c58b, 0x657ada5c,
+    0x27e51c6c, 0x11e15464, 0xd5407ec1, 0x10dc18c2, 0xcf724613, 0xfd2f4622, 0x7d499fa8, 0xfd9913a7,
+    0x4f2899b0, 0xb57290e5, 0xf93d3a79, 0x8a3e630d, 0x9edc22b9, 0x0ef7378b, 0xc400d2a2, 0x38abb028,
+    0x6ed0d311, 0x6d528f26, 0x9ad04de9, 0x98c640a0, 0xe9c53074, 0xd21730b2, 0x0eca9a03, 0xc1f1efc0,
+    0xc3a25290, 0x273ec8af, 0x2cd5c4fa, 0xfbaf1348, 0x1bcb667f, 0xd0e7f628, 0x6694b94c, 0x6c555777,
+    0x76341043, 0xf240a527, 0x749bb1b3, 0x4bf1c21f, 0x9b2a3bc9, 0x8d3f62b7, 0x8ce6d762, 0x3c8efd8c,
+    0x35e6caa1, 0x64d76531, 0xd0305bd5, 0xff92b82a, 0x0b751fe2, 0x308a775a, 0x8b2c7c4f, 0x43184ac7,
+    0xe40f099b, 0xd6933577, 0xd60c6403, 0x6c9409e5, 0xd4ebfc1c, 0x9c3f5ada, 0x693a298f, 0x6d0fc26a,
+    0xde1888e3, 0x6f9c86a1, 0x58e60b1f, 0x95ab7e38, 0x5294fd28, 0xcb5bfb54, 0xc059b459, 0xd4789341,
+    0x7fad5849, 0x17847f19, 0xa5d69f24, 0x881a70b7, 0xfe10f349, 0x44fe996a, 0xaa0414e8, 0x667b78ae,
+    0x815644fb, 0x8fd6fa47, 0xb5fb964e, 0xd1f0a694, 0x300d75d9, 0xce26e4cc, 0xb82a0bd7, 0x21c07931,
+    0xa7e3c6c4, 0x76351af0, 0x2a1e135b, 0x02b91f13, 0xd1680dbb, 0xcf3aa6c4, 0xd73c8ddf, 0x36efeab2,
+    0x6ea0197c, 0x39e737d7, 0x9c5d373b, 0x1ce2d1c8, 0xffa98778, 0x2f443cb9, 0x1ec6d4c0, 0x07e2efe8,
+    0x8c028d89, 0x5335e26c, 0xe7ca96c2, 0xc167ecfc, 0xc85cf0ca, 0x972f0a2e, 0x77730d12, 0x3ae62553,
+    0x521f4e84, 0x0688cce2, 0xe2e8fcdc, 0x64591eff, 0x23b2f783, 0x4b19b162, 0x35067bea, 0xbb9156f7,
+    0x0e89a7fc, 0xc7afbe3f, 0xdda2ea6c, 0x3e54e5c7, 0xecc6eee7, 0x9e416d09, 0x06681542, 0xa13a4450,
+    0xa78fb4cb, 0x9656e215, 0x5b1527ec, 0xd9e9d54f, 0xc148254f, 0xf90e6e9f, 0xdb1c2e29, 0x35da0f11,
+    0xcb4c3476, 0x24aad2d2, 0xd9f0a7ff, 0x558e442d, 0x31298c89, 0xd3b9fe73, 0x583520ce, 0xd0fbda96,
+    0x8129a515, 0x4690e1fa, 0x2139b12c, 0x7b75f3e1, 0x2419df20, 0xcb4d3299, 0x9e2d65d3, 0x92523f8f,
+    0xebdc5db5, 0x8f7b885c, 0xc01f9631, 0x38071488, 0x7236fd6d, 0x7b4de3c1, 0xfd88c18f, 0xa18b7377,
+    0x6e8171e8, 0x66a2e71e, 0x4be488c6, 0xa2162c09, 0x5f3a3693, 0x72a0a1ef, 0x96cb08c0, 0x5e091e56,
+    0x2bb81d5b, 0x21ef8009, 0x606882b5, 0x5053846f, 0x15b67ff7, 0x8bed912d, 0xe8dc2d64, 0x5edd9d84,
+    0xca50cdff, 0x6b8466cd, 0x503f6e98, 0xc5090805, 0x3480efc3, 0xc695a241, 0x806b14dc, 0x2e480219,
+    0xa99e0587, 0xcaf4ae8f, 0xb089a6b7, 0xe58bcfa4, 0x76aed44e, 0xa1fb83a0, 0xb5327f82, 0x3633ed19,
+    0x45396aee, 0xcf1aea7e, 0xf44b57fa, 0xb580ddf2, 0xd3e15814, 0xc5ef1e07, 0x6cd25f6f, 0x3df4daf3,
+    0x827c921e, 0x836ed0bb, 0x49aa0c89, 0x6328ed1a, 0x3e881c70, 0x0d4564aa, 0x98d35560, 0x3f46ee11,
+    0x4fe00757, 0x3c7cd056, 0x8740d869, 0x1f4e49c3, 0xd40b2adc, 0xf5398bc3, 0x54c9ae29, 0x00e4edf5,
+    0xb98c30bc, 0x5f08f9db, 0xbade8c5a, 0x9a44d6d4, 0x4b14805a, 0xe17bce06, 0x196909d4, 0x00004427,
+    0xbab922db, 0x93b0073b, 0xf9bdd12e, 0xe1d9747a, 0x0aefe04b, 0x97e3dfc7, 0xe273d783, 0xbd1862e1,
+    0xc1f0e943, 0x4a7f0e3a, 0x6b51b701, 0xc021d6ed, 0x31adf354, 0xc9636280, 0x8e7a7dcc, 0xe759024c,
+    0x7881096f, 0xa2eb9ad5, 0x2d28ba2e, 0xd975ac88, 0x9b237498, 0x5494e6c1, 0x0237c319, 0x3525e352,
+    0x5143875a, 0xee9b9200, 0x911d63ad, 0x08ce1e8e, 0x69a73dc6, 0xe048e974, 0xf2444669, 0xb7a2fd37,
+    0x4d6a70b3, 0x315f6fcd, 0x086ae8a8, 0xc753b201, 0x39a638c3, 0x5841dfb7, 0x32a5903a, 0x63531b77,
+    0x3fddc849, 0x361456dd, 0x1bc39e57, 0x5587202b, 0x0dd1e73a, 0x40787592, 0x73172c71, 0xc57b41b7,
+    0x5a7af19b, 0xccea3b22, 0xac5ba93d, 0x2409613a, 0x324c970c, 0x62a9c315, 0x7ee78e3f, 0xc23ebdfe,
+    0x97d03f61, 0x3947333f, 0xc7b17ece, 0x2db141e2, 0x8e7a0b5e, 0x8183d99a, 0xf9dc5de7, 0xa246d4f2,
+    0x106b6186, 0x86d8d897, 0x5bf2305b, 0xe2c23f02, 0xc0c5c952, 0x43645c92, 0xe9b64990, 0x15a836fa,
+    0xed0059d3, 0xfb2a5f29, 0xd803006d, 0x328b823b, 0x626b02f5, 0x3bce01c6, 0x3da5f784, 0x06500edb,
+    0xf4ed5d35, 0x17acbade, 0x532574de, 0xd9865f7f, 0xf9da4a93, 0xefacc8f7, 0x57515fd1, 0xa7eb95f4,
+    0x26f73dbf, 0x0fe33ad3, 0xd804243e, 0x96876c38, 0xd9f33d74, 0x42d49c49, 0x88be0197, 0x11af6aec,
+    0x922d76b3, 0x87b5fb70, 0x43f5f1b4, 0x556de205, 0x38c7ace6, 0x15a59678, 0xfaaee151, 0xb24c13a4,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000041718496795330275\
+                          04677776769862406473833407270227837441302815640277772901915313574263597826048 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475,
+    0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d187a, 0x62f99af0, 0x21622adf,
+    0x00000000,
+    0xdaa6c702, 0x9b4fb99c, 0x7282cfdd, 0xb0908326, 0xb9fd1df9, 0x07629001, 0x63e4f3cb, 0x82cdb6ac,
+    0x0881acdf, 0x03ced22b, 0xb307a72d, 0x199e2402, 0xcb608777, 0xca2a9c57, 0x81ee7478, 0x454b361f,
+    0x1232ccd8, 0xea902960, 0x53717f16, 0x78ad9086, 0x343bd800, 0xac8645ac, 0x6971bb8c, 0x5341c235,
+    0xf8d0efd6, 0xb06a0c4f, 0x694a6387, 0xe9621955, 0x95a99858, 0x6730775c, 0x0536aa35, 0xadae7e3a,
+    0xea1ee5f9, 0xf3e83f04, 0x5a1f9f22, 0x8bc6d12a, 0xb3c6830b, 0xfbcd6179, 0x6ed68a8e, 0x9d3936a9,
+    0xec236d9d, 0xa1839916, 0xbd36a6e6, 0x9cfe3a82, 0xb45365ec, 0x6af7d811, 0x799fc478, 0xea2e4130,
+    0x3d058f64, 0x7e3b3716, 0x85732de2, 0x1533c7e7, 0x4cf7d2ee, 0x71383f90, 0x81bae03d, 0xee381dcb,
+    0xe239e49f, 0xa4d772f5, 0x22dc984d, 0xe72707f8, 0x10a6c296, 0x1e7a459d, 0x263a1d45, 0x0c0e1587,
+    0x0e838719, 0x4ad708f2, 0x95090c5c, 0x7a07066e, 0x50ae4573, 0xf8aa6520, 0xc712c50d, 0x2b86b73e,
+    0x622a88d1, 0x7948e016, 0x703ffa85, 0x14be7428, 0xb5d5b79a, 0xecd110e4, 0x9ef1a97e, 0xf6e85c86,
+    0x38872b89, 0xe0012c61, 0x25ed7ca5, 0x981a0750, 0x1d435b40, 0x4119dfcc, 0xbc42b409, 0x0364d88c,
+    0x72b02a2e, 0xcc0fab8c, 0xf1f80413, 0xe61e6bfd, 0xf29618d6, 0xe35801d0, 0xbde3eb74, 0xbd370847,
+    0xe5540baf, 0x63d3af45, 0xd5354108, 0xd3b5601f, 0x8ac2c6d9, 0x8375372f, 0xc2570ec8, 0x828f79c1,
+    0xa813758f, 0x9537ee59, 0x5282e935, 0x41a01abf, 0x1206a890, 0x02f5660c, 0x4f807d45, 0xfd8f10c9,
+    0x1a16a8b7, 0xa1acb6c1, 0x52144dc3, 0x4cb7e3d7, 0x648f55f5, 0x1bcf9160, 0x2b380957, 0x104cda9f,
+    0x173cc071, 0xb28b5927, 0x2061250b, 0xfa123cd0, 0x47167427, 0xee99d6cb, 0x9ff9fee1, 0xec774c4e,
+    0xc4abc8de, 0xaf323641, 0x58cc69b1, 0x75cbd561, 0x19634573, 0xe44ee97c, 0xd8f4b74b, 0xb6c0909b,
+    0x3ff5e562, 0xf432c300, 0xdd86f6bf, 0x4d71dd97, 0x938c346e, 0x963b2783, 0xb396ab44, 0xc5445c87,
+    0xfdc73ef9, 0x5810849e, 0x933cd48e, 0x2a80d4b9, 0x4c3f8e86, 0x8552b51d, 0x37da72b5, 0xdc6dff89,
+    0xde08c2ec, 0xc7b35d40, 0x917ea024, 0x80b6d0b8, 0xf15dc564, 0xc9d66b25, 0x4f8643f1, 0xc18b918a,
+    0xbaec1ab8, 0x3ac75b9c, 0x0f13000f, 0x728f5d50, 0xf702dc81, 0x2a0750cd, 0xdb9566c0, 0x29decb14,
+    0xc3a16a95, 0xe666ac55, 0x94a9e9d9, 0x9c53068a, 0x1a09b9c8, 0xce484e88, 0xb95580a7, 0xe36bf4cc,
+    0x1560946a, 0xbdbda4fd, 0x63dc050c, 0x07c55432, 0x07ebaaca, 0x0b4fd0f7, 0x20da9f48, 0x7821d487,
+    0x8d9dd37c, 0xab3d75ef, 0x4bb95147, 0xa8a5d310, 0xae431582, 0xa7af159d, 0x0bfcc94a, 0xe925422e,
+    0x41a7414c, 0x803f425d, 0x7dcd9531, 0x3b08aeb1, 0x334e2ae5, 0x9ab9d25c, 0xa79f46b2, 0xb9921045,
+    0x6dad121b, 0xab42ae72, 0xddec7fe0, 0xaf596f24, 0xc1fee503, 0xcd9ab45a, 0xdde0fe03, 0xa1a69bf9,
+    0x1ec9af3a, 0x4ab35e32, 0xab2a81ce, 0xc0e30a6f, 0x2b1082c0, 0x913c946d, 0xc091c66e, 0x6972b531,
+    0x2ce7eaa8, 0x7e692aff, 0x09d4c5e7, 0x1abe5d7f, 0xe5491bce, 0x5fcfc730, 0xc45c9e13, 0x976bddd8,
+    0xe15af3fb, 0x5ddc9a46, 0xf4d80f27, 0x3bfd43d2, 0x099f5471, 0xfbef97cb, 0x4a74ed70, 0xcd4bc51d,
+    0x1e378d7f, 0x911a76c2, 0x815b90d9, 0xe026322a, 0x17cd1fdd, 0x30b18d56, 0x8164512e, 0xcd89e038,
+    0x935995c0, 0x97ec3605, 0xec77492c, 0x32e68624, 0xefec4097, 0xfa088ba1, 0x7bc1019e, 0x9d8772ea,
+    0xa0fc537f, 0x4c547d12, 0x775091a8, 0xd6cde248, 0xd1b81e29, 0x1b4b0071, 0xb9b7c409, 0x53ee069c,
+    0xb6f9ae69, 0xca714e37, 0xcae89469, 0x0c2dac61, 0xe21b7811, 0x23d890a5, 0xbf5ba103, 0x002b1e63,
+    0x4febc6b3, 0x6da70a98, 0x6e71be0b, 0x0c1b1d63, 0x329fd9a3, 0x94b0e14f, 0xd4762a37, 0xbdc09d1b,
+    0x8c9160af, 0xbf3ef47e, 0xddcb79b9, 0x3d03eac6, 0xddc9353c, 0xdcae7a5f, 0xfa391f15, 0x6fe0e882,
+    0x90212376, 0x15dc89d8, 0x4dea158a, 0x4e510e89, 0x577518b7, 0xbe271a35, 0x113c29d4, 0x5c092240,
+    0xa2a5bc1e, 0xa1e42d62, 0x33a30af2, 0xdbbded7d, 0xf4af7bac, 0x8cee4a4a, 0xa0ffc8f5, 0x6b5f0390,
+    0x81dfda0f, 0x1c5815e5, 0x4097d4b5, 0xf1fe0ba7, 0xebe3b34b, 0xb241aea5, 0x074700c3, 0x0734414f,
+    0x5b687b12, 0x0245bfc3, 0x203b5dbf, 0x06f83fc3, 0xc86c4a9c, 0x34658553, 0x77d3658f, 0x0866b9de,
+    0x25834fc7, 0x91fb0865, 0x36374693, 0xdefbc621, 0x1bde8b7d, 0xfdc913ee, 0x33ce711c, 0x13f0956c,
+    0xad348c19, 0x0d3fa078, 0xb0eb43c2, 0xc0d47225, 0x4243be0d, 0x6159c31e, 0x402e1d0c, 0x920f66bf,
+    0xba94d1b6, 0x2cddfa52, 0x765de711, 0xbfa81969, 0xa08f1324, 0x0a555a34, 0x9efb3ccb, 0x99fd9e02,
+    0x584bdd99, 0xebe62017, 0x1926fdf8, 0x3f48be18, 0x7d70389f, 0x4c3e6f12, 0x2d77a9e9, 0x00f71fac,
+    0xb180ee1a, 0x7880f114, 0x07019b0d, 0xa6d41cf2, 0x094986f2, 0x14008951, 0x6f4ece2f, 0x4e47860e,
+    0x202f3e40, 0x9aad9ac4, 0xa93682fa, 0x9cda0d88, 0x3666df8b, 0xd838b064, 0xdc79c000, 0xebeb954b,
+    0x2e22fe14, 0xe5a3064a, 0xef586184, 0x04d0a2d3, 0x6defd789, 0x786552b8, 0x34303fc9, 0xb60ac44f,
+    0xed80fed2, 0x94376775, 0x85bd46bf, 0x700b301f, 0x5dc44dfd, 0x23f1d8b9, 0x27154b47, 0x45bb632f,
+    0x91e97bf5, 0x74ac647e, 0x7b26f627, 0x961351dd, 0x1f06af22, 0xbafaee48, 0x5be35457, 0x3af1d048,
+    0x089e6cd8, 0x4376add7, 0x014597b7, 0x5ec35664, 0x3dc8d887, 0x23388c78, 0x3be00de7, 0x72c65bb3,
+    0xa8417604, 0x0f480d3d, 0x3b33c743, 0x978fa4b9, 0x10a22f6e, 0xb754c43d, 0x831bddb3, 0x06ab7de4,
+    0x5cfaa9c7, 0x153b9ea3, 0x93fa2fef, 0x99617562, 0x2bc7df12, 0x9c3b4498, 0xd1c23646, 0x4f4647c8,
+    0x893d810e, 0x0af551b5, 0x586655c6, 0xfeaee994, 0x37dcc18b, 0x62c1b9c7, 0x55a59677, 0x9a18b75f,
+    0x138ea9e3, 0x9706929f, 0x704d2ac6, 0x13ada997, 0xaeb7e7bb, 0x77472baf, 0xd82df27c, 0x06b38805,
+    0xdd5dea9e, 0x09c75a67, 0x369391f8, 0x61d08c5a, 0x006021c1, 0xd959b33a, 0x8a2fb476, 0x24e7d04b,
+    0x1d3ed0b6, 0x915d1f04, 0x0fbcec87, 0xc3a9c690, 0x5ce740bd, 0xf06b0081, 0x8fe4da47, 0x2eefb403,
+    0x08fd2f81, 0x3a75fd3d, 0x7d7eef18, 0xb5c753d2, 0x17323826, 0xc72b8de1, 0xf31a35e9, 0xe63cadf4,
+    0xc49cf661, 0x160aa381, 0xaaf7094b, 0xca655aaa, 0xd891b280, 0xec02165b, 0x5478e8a1, 0xe765cb86,
+    0x394a18c6, 0x21906d4f, 0x73165d2e, 0x48553ac7, 0x246c6e03, 0x66356f3d, 0x2e9ec0a2, 0x8b0cf23d,
+    0xd6c5f033, 0x6cb15d21, 0xebae204c, 0x9d051b61, 0xad86744d, 0xee6de0c3, 0xd382e5c3, 0xa180cd0d,
+    0x702ee5e5, 0xeb826ee7, 0xf48bb440, 0x412851f7, 0x6fe09727, 0x1031cd34, 0x6e94b5ae, 0xe7832b45,
+    0x8d299b2b, 0x60a19241, 0xd493ea31, 0x55d81552, 0xa09e59f6, 0x05cbf210, 0xed26faab, 0x29e2e246,
+    0x41f7425d, 0xba308a98, 0x6940e4ef, 0xb9950502, 0x92f5ccf2, 0x28696f24, 0xc95a6896, 0xe99bc597,
+    0x9fc05907, 0x861c24cc, 0x9523ed73, 0xe0da857f, 0x55b99b71, 0x74424e9a, 0xa5eef47d, 0xe1f98f3c,
+    0xbb0c40a9, 0x5597941b, 0xec72acfc, 0x7c3db805, 0xdd64d952, 0xf2466619, 0xc0996a78, 0xb6aa07df,
+    0x270f435b, 0x47070b51, 0x2e58453c, 0xbd0cb134, 0x76c19e6e, 0x6fb5bd4b, 0x410d18ad, 0x8109e77d,
+    0x3f3a6993, 0x7ceff139, 0x2639d005, 0x3c639868, 0x8fdf2f76, 0x9558cec6, 0x993daef7, 0xd917bc6b,
+    0xccc2d1f9, 0x73df810c, 0x91f0df27, 0x1d6e0bc9, 0x54ceefab, 0x375456e0, 0x7d4dd0ec, 0xefe2ba23,
+    0x61e83f78, 0xb3daae2d, 0x6775422d, 0xec58ba4f, 0x9b9b5b0f, 0xda194d7e, 0x8bc90dd7, 0x6f0f023d,
+    0x4fb572b9, 0xea634c49, 0x302adc57, 0x4d946f4f, 0xb8832ddf, 0xd0ca055e, 0xec712ebf, 0xfaa49333,
+    0xf3a42569, 0x9f294765, 0xdafebd4f, 0x4ade7e86, 0xdc8d0ef2, 0xe61728ef, 0xec681923, 0xb1e41f03,
+    0x870bc13f, 0xbe7653eb, 0x41e0a52e, 0x37e9e85b, 0xc39a0cb1, 0x43deca40, 0x5fd5a26f, 0xd4777574,
+    0xab74cc3c, 0x202aca85, 0xfdfab262, 0x6b770b87, 0x97d24d07, 0x345c6feb, 0xf65b0660, 0xf444eaad,
+    0xcb953ede, 0x1993c54d, 0xc62c5823, 0x1a794274, 0x2e700b75, 0xafb34875, 0x2f91ebd4, 0x895338bf,
+    0x9f39ce4f, 0x26604bb3, 0xa4583c6f, 0x605bb60f, 0x9a01fffb, 0x611a11d8, 0xf9057500, 0x8a89c6f6,
+    0x588bd243, 0x8b668fb3, 0xeaecbce9, 0x8ed92ac4, 0x74cdbdac, 0x90586840, 0x27527ff1, 0xab98a5be,
+    0x94a8746f, 0x6201f9d9, 0x9f763670, 0x0f6c4304, 0xb73ff85a, 0xcf598d5c, 0x1ae6646f, 0x1e6f7eab,
+    0x9f761ae5, 0xda4f9420, 0xb0352280, 0x73e2c001, 0xaa65b9cb, 0x68daf428, 0x4e4a511b, 0x949126b2,
+    0xe5e9931e, 0xeb742505, 0xadfde585, 0xa3d1fcef, 0x0336e6af, 0x382d6650, 0x0482a3f8, 0x38fdd918,
+    0x51e2b3b8, 0x9e1caed3, 0x8d762390, 0xc05d22a6, 0x5f5768d5, 0x8afec455, 0x709b11bd, 0x4be996c9,
+    0x30b0a19d, 0x3fa1439b, 0xf3bc9ecc, 0xd7848556, 0x447746ab, 0x64852394, 0x609b7e50, 0x58840295,
+    0x8f8a785c, 0x7f6c4e34, 0x402f92e9, 0xc1f16b52, 0x52b261e3, 0x344ec2a3, 0xcac0afd1, 0xdbe9cda6,
+    0xb138b229, 0x6323868d, 0xa4a105d8, 0xc781a92c, 0x481b2266, 0x74b9f67c, 0x5af8831f, 0x6e57cfd4,
+    0x928768ff, 0x143adde7, 0xdedb88c5, 0xb5640443, 0xd7519642, 0x59b66e10, 0x30d2df86, 0x19195a4c,
+    0xb19c8e12, 0xacf4abc9, 0x1239d6ce, 0x1516a5d3, 0xe670aa1f, 0x2c60acc7, 0x748f0503, 0x1074bfd3,
+    0xa606a0fe, 0x327087b9, 0xfe0259bc, 0x22722e9f, 0x010e77b1, 0x0903a3a9, 0x6e1d0a70, 0x346c55f6,
+    0x0e357f75, 0x117fef58, 0xada4e99d, 0xd4863580, 0x8bb22247, 0xbe279aeb, 0x058389c1, 0x68da7614,
+    0x51c04270, 0xe2ff87f7, 0xb19372e4, 0xf2711a27, 0xfab4383c, 0x7843e918, 0x76417c47, 0xf06426fe,
+    0xd97142bf, 0xa42452bc, 0xe89f784d, 0x46bfc3f7, 0x3553be51, 0xf1b38548, 0xc3fbbca4, 0xbe429ef1,
+    0xfa11ca91, 0xe78a047b, 0xd5e7830a, 0x3ba1f086, 0xcc3c2635, 0x9c3892fe, 0xa3e33bd8, 0x18d667cc,
+    0x32bd0116, 0x0b6a89dc, 0x9d651aa7, 0xbe4b1f0a, 0xcb14ed7f, 0x72d30254, 0x6a886f36, 0xbe0a2126,
+    0xa9318fd5, 0x0668e98c, 0x15b79d6d, 0xab4c45fc, 0xa15cc95f, 0xa7a7478a, 0xacdad160, 0xa921793f,
+    0x50072656, 0x2503c114, 0x0f93f93f, 0x13ce21f8, 0x61cb9474, 0x05ea67de, 0x396803ac, 0x813a11a9,
+    0x790937a7, 0x55eea794, 0x4d695602, 0xa79298a8, 0xe2b93366, 0x38ce173d, 0x70fb42b8, 0xb9a89b67,
+    0x9846f9b8, 0xb3bb6fcd, 0xd519d7db, 0xa20ff0b8, 0x007c8768, 0xbe6b0e03, 0xec9e2571, 0xfe293272,
+    0xff1869e6, 0x5f33c4b4, 0xc9061a1d, 0xdfc9b9be, 0x31278c0d, 0xecffd7be, 0x91e4be96, 0x5a3cdeba,
+    0x8f62e207, 0x286f61c6, 0x244a2ae4, 0x42a4bef4, 0x6d6b4426, 0x874ac66f, 0x0bf9d4f5, 0xf8929ce1,
+    0x050a31bd, 0xeec3c1d5, 0xc91ccf10, 0x81ab174a, 0xe1f950d0, 0x6b6ce7a1, 0x3ecc4571, 0xf70cc1f8,
+    0xf40cb282, 0x707553dd, 0x7e0baaba, 0xe91fd32d, 0xb87bc822, 0x6a8141a6, 0x73b06505, 0xf6fa41d0,
+    0x5622f53a, 0xea2dcfe9, 0x56352bcb, 0x01cbf2da, 0x21009599, 0x65cf2264, 0x148706a3, 0x283808b0,
+    0x5d585dbd, 0x3788bc07, 0x3cbd1634, 0x04dfde50, 0xe8aeec93, 0x7917db6d, 0xd2e6d5a2, 0xa04a4832,
+    0xf7ec94f7, 0x0ebc8abf, 0x339ccc8c, 0xd4223a23, 0x2c85b3f4, 0xf684c699, 0x4ad97c75, 0x57a10c69,
+    0x3f216520, 0x50b7078f, 0xba47815d, 0x4118b52b, 0x04ff61e3, 0xff23a464, 0xfbb8bc1c, 0x63fdf9ef,
+    0xea80e20d, 0x4064b1b5, 0xacb8d824, 0xb00848b4, 0xa59953b6, 0xa966338c, 0xfb619256, 0x6772229b,
+    0xc9df98e0, 0xdb2bba5d, 0x9f87c572, 0x595dae86, 0x3afdbdc2, 0xb746b900, 0x6e4d0afa, 0x85f5f21c,
+    0xe0f73925, 0x60be3c6f, 0x811628c6, 0x24cb12cb, 0xbe61660a, 0x5d20985b, 0x3774fdf1, 0xff41f8af,
+    0x98074988, 0x70a0ec3e, 0x38ec6157, 0x13c5130b, 0xde8059a4, 0x92af789d, 0xc18ce69c, 0x5065f080,
+    0x4ad234fd, 0x72a6c16e, 0xc5faf360, 0xf13b754d, 0xcf544716, 0x1f60afa4, 0xa6bef4de, 0x6f6880b1,
+    0x10bc3e31, 0xb37e6a0d, 0xb1f48896, 0x460871ea, 0xbf50c47a, 0x2c009d42, 0xbd591966, 0x3793282e,
+    0x7732b64f, 0xe4a2d2f8, 0x2eaa8161, 0xfd679a33, 0x3ccfd97f, 0x1d53c1b9, 0x53ef347c, 0xc1618029,
+    0xcd886618, 0xe6b9dd91, 0x2e944f04, 0xef9eb6ad, 0x21a1d636, 0xfe178f75, 0x8a42231c, 0xa8e2861c,
+    0xede3d214, 0x26106d43, 0x43ee0768, 0x4b65065d, 0xf755fc96, 0x35b098d6, 0xa829d404, 0x642a1469,
+    0x57c52685, 0xe1c81dda, 0xedb99ed7, 0x3a290d4b, 0x555e42fb, 0x39ac314c, 0x3557bd19, 0xd77231e9,
+    0x06ca42cb, 0xa014e23b, 0x94847f3e, 0xe8a5f705, 0xa4005601, 0x987c99c9, 0x7804e86c, 0x4798f6ab,
+    0xc4ef5755, 0x25c2fe01, 0x97ecbbf4, 0x2dbe4a4f, 0x95f21100, 0xd22599c4, 0x8073f29b, 0x7bd28c79,
+    0x0d3b96fd, 0x652da369, 0xf345dee2, 0x231e8446, 0x7813d7e8, 0x9dca5d62, 0x5203a4c2, 0x6c3cd89a,
+    0x6412ae6a, 0xbfd77773, 0xa8ea63e2, 0x298d2378, 0x4a34d562, 0x2a42a06e, 0x53ee2cbb, 0xcb3f3f9a,
+    0xe3bde442, 0xa6015907, 0x8aa86558, 0xccfba5ae, 0x7f4c21b6, 0x7e68208e, 0xc13d4ff7, 0x4ab93a38,
+    0xa976eff3, 0xca514ac5, 0xf10e0ed3, 0xae1d0e31, 0x64366608, 0x6e3f7baa, 0xbe880e9c, 0x8a44f69d,
+    0x87bd6d80, 0xca37b03c, 0x35a2612a, 0xdf577d94, 0x2eb2335e, 0x229328ff, 0xa8f22170, 0xfa49e8e6,
+    0x304950ef, 0x6eee58b5, 0x8d126036, 0xe2e76ed9, 0x334e4c66, 0xb6492a44, 0x7ac5592d, 0x0402630a,
+    0x2f627b6f, 0xaadf38a5, 0x9f3acaca, 0x3fb2f8a3, 0x7047781a, 0xb82b22e3, 0xcdc78761, 0x73ab32dc,
+    0xc0edef8b, 0x80d385e3, 0x1408595a, 0x28d1621d, 0x5209e533, 0x3a53fffa, 0x5d5a7b83, 0xed94b3d9,
+    0xc59efcf2, 0x5c8374c4, 0x6ad9b1d3, 0x7850d07b, 0x82ba6e3c, 0xf890640e, 0x87e1abf9, 0x75efee7b,
+    0xa0e9bd8d, 0x913186a1, 0x69aa5677, 0xb7f705fc, 0xe38622b1, 0x2c4415fb, 0xd6943653, 0x44eab01a,
+    0xc29744d3, 0x6442364a, 0x58d67c5e, 0x4bf19c23, 0xc2be56a7, 0x877572aa, 0xa31b2abf, 0xee36346b,
+    0x399cc3c6, 0x614a08ab, 0x4fd0167d, 0x9dc8dc9c, 0x2ce22153, 0xabd9d7eb, 0x16650a80, 0x8d22ab4e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000020859248397665137\
+                          52338888384931203236916703635113918720651407820138886450957656787131798913024 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a,
+    0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3d, 0x317ccd78, 0x10b1156f,
+    0x00000000,
+    0xa74b5865, 0x78da8b12, 0x5253b717, 0x8bf85306, 0xf04a86d2, 0x16425c37, 0x8227e71b, 0x582b1099,
+    0x6ea06329, 0x159efaa8, 0xc636d14b, 0xdabc284c, 0xea9fee34, 0x88994e82, 0x3dbefbb3, 0x4c02539d,
+    0x98f5fcff, 0x0b7ba87d, 0xbd57e6fb, 0x19bbb06b, 0xd8c4ae7b, 0xc0a32ad5, 0xf3d6b593, 0x950b60e4,
+    0x58ea55a9, 0x114b735d, 0xb43b90ea, 0x5d669f00, 0xd7565597, 0x2484bb1f, 0x335bc517, 0xc065451d,
+    0xb7463db7, 0x35f86812, 0x8064b328, 0x44dfe39f, 0xfbd4965f, 0x51a4b842, 0xe71b11e6, 0xdf5fae29,
+    0x50579b03, 0x2aa47bcd, 0x93e2619f, 0xe82e257c, 0xa412807a, 0xed7521ff, 0x126277a9, 0x270ec85f,
+    0xfd968bba, 0xf443ba88, 0x5922e4d8, 0x1bab7a7d, 0xbf542440, 0x844b1512, 0x4eb8e0c9, 0x1ddd2ed5,
+    0x4c1b0f7a, 0xae148704, 0xb81461a6, 0x82c1f8b3, 0xe9eb2e0e, 0x4c45ab36, 0xef15844a, 0x114eb23c,
+    0x6fa197ff, 0x27015d90, 0x516dd59e, 0x25dcbfa8, 0xb2507e64, 0xecfe2085, 0xf02c6444, 0xb48ead33,
+    0x47567406, 0xe8f9b851, 0x01dcea9e, 0x7ec236d3, 0x4b46a7c8, 0x15130c56, 0x37e4b40a, 0x72adcc3c,
+    0xb902623a, 0xfb2a5339, 0xcec97bb2, 0x312a0832, 0x268abfbb, 0xa6e4c95d, 0x08b54109, 0xce23c882,
+    0x2720cd97, 0x997702ea, 0xb8987ccf, 0x7ae47b08, 0x76b98dfc, 0x2b07d993, 0x59f769aa, 0xac8349d4,
+    0xdcc29726, 0xde5bbde7, 0xf5576f66, 0xcab82f94, 0xc5270e2f, 0x7e2d6a36, 0x7ec502a6, 0xc36a6c24,
+    0xd2121443, 0x26996ea5, 0x9a5338e8, 0xd52d084f, 0x5f16d88d, 0x97331503, 0x2dc1d6b0, 0x5c75bd42,
+    0xaf328dff, 0x699b9645, 0x7f017124, 0x975daa08, 0x9a212ece, 0x0f7bd94c, 0x5ee7f988, 0x90353baf,
+    0xd3cb9d21, 0x7720369f, 0x08ce4842, 0x9b477666, 0xdb92ac79, 0xe2eebd95, 0x18830c79, 0x1a01c20b,
+    0x5752fe01, 0x93880046, 0xdfe7f3da, 0x5028dc42, 0x5a8eb7d9, 0x03ed1c17, 0x68c015ea, 0x56de6f32,
+    0x776093b2, 0x2facd59d, 0xe46bc869, 0xe2db3bf6, 0xb91936cf, 0x65771041, 0x7bb61753, 0xd7278fef,
+    0xbe65827f, 0x3e0c3a44, 0x9369eff0, 0xbd11f3fc, 0x150d9444, 0xaf020ad4, 0xd45ddb63, 0x3a999340,
+    0xb72d8151, 0x6bdffbf7, 0x681efb90, 0xcababd93, 0xe3aad383, 0x7760f2f8, 0xfe27183b, 0x07ea384d,
+    0x69669cfa, 0xbd5c4cd7, 0x6ebcfa86, 0x895aa585, 0xf4c6ec9c, 0xb97d3acd, 0x96bdde81, 0x2f1c235e,
+    0xe25493eb, 0xe26a83dd, 0xbc71c562, 0xe25668d0, 0xe909a449, 0x3017283a, 0x2abd6b77, 0x95ac6978,
+    0xef31bf98, 0x3bb990c0, 0x75d30b28, 0x2df55dd1, 0x5fa24b5b, 0x6b8cc578, 0x48f7284a, 0xf252626a,
+    0xde661b55, 0x32604702, 0x8af753f8, 0x109c1c2f, 0xa2c9170b, 0x96e73bb7, 0x79790c0f, 0x7795a3c5,
+    0xc5dac409, 0x8d735724, 0x2f688049, 0x1e784539, 0x48c5851a, 0x12b6e674, 0x63dd0572, 0x77f9c8f1,
+    0x87cb703c, 0x3de2495d, 0x3984e8bf, 0x4d08ddd5, 0xdc729cdb, 0x1e702575, 0xb34df1a3, 0xbc7f3af3,
+    0x97d3e3c2, 0xe2e0e1fc, 0x0bbadb28, 0x30b3a214, 0xfc55c044, 0x6799e171, 0xc026ad50, 0xce690a91,
+    0x90f79c9d, 0x6ddd7b35, 0xeac9a872, 0x3d15364b, 0xc6adbef9, 0x1d0ed372, 0xa42b46ca, 0x2e0f33be,
+    0xc222c192, 0x64b2afc8, 0x7a178f06, 0x6b6406e7, 0xd4273e20, 0xda007e62, 0xf73ca22f, 0x3b9cd681,
+    0x45999797, 0xbd43ce9f, 0x001a01e6, 0xa965a76d, 0x4b010d20, 0x0fca676d, 0x6518ea6e, 0x975fc4fa,
+    0xdf741cc0, 0x7416cbf5, 0x455341a7, 0x8ca4605b, 0x81c54b2c, 0x3795e753, 0xbf9f0b65, 0x79163d9f,
+    0xb9d31a82, 0x70e69e15, 0x8446998f, 0x3a10c53a, 0xb724a09d, 0x63b477b4, 0xf301170a, 0x4531a161,
+    0xaf583f77, 0x5e540fa5, 0x40ebad7a, 0xaf211cff, 0x017f8677, 0x550d47cf, 0x2fc3e0ab, 0x498d8d99,
+    0x1f9db3f1, 0xdb1eefb1, 0x2a2be102, 0x9ed959a8, 0x1a261450, 0x6ba369a6, 0x1a9c4699, 0x36e27533,
+    0x25fb4522, 0x1889170f, 0x455d4bef, 0xe7dd41ee, 0x4015b8e6, 0x237b9745, 0x666630b4, 0xf5887c98,
+    0x3f72b698, 0x18ec6228, 0x36d4c16d, 0x090d30bf, 0x690dd87a, 0x8b33f5b5, 0xeeea0ae6, 0xe49427a8,
+    0xfa6bd674, 0x7cec3a84, 0xaa81ac11, 0x87abee5c, 0x11970aa2, 0x081320c0, 0x05e3636b, 0xec08899c,
+    0xa3ec0bb5, 0xae9ed2c2, 0x14410327, 0x8c7a3dfc, 0x42564dda, 0x40f9807c, 0x72c82b75, 0x126a25ac,
+    0xc0677afa, 0xa6f1f2eb, 0x87fefb34, 0x48ef05e0, 0x86cf1c40, 0x178d0f7c, 0x2a02349b, 0x445fa1da,
+    0x380d466e, 0x84509934, 0x0c82c62f, 0x4f27e14b, 0x14ec7344, 0x6d7ed0a7, 0xeb1f4d39, 0x442b6726,
+    0x67dd65e2, 0x637444e3, 0x53d7e0ba, 0xf386da88, 0x3ee3b86c, 0x9c3992ce, 0xf1e97170, 0x1f798ea6,
+    0x13460d6d, 0x55b49c50, 0x3dc79f86, 0xdb615dfa, 0x4143d14b, 0x843ff2ae, 0x300fd288, 0x53c25a37,
+    0x912a7d41, 0x079546c6, 0x85644298, 0xaca93476, 0x33a47bcc, 0x05dda222, 0x9d633fc4, 0xf9f3f9ba,
+    0x1e7c0d96, 0x4f8ae1ad, 0xbf310c66, 0x7eaa6424, 0x10cb69c3, 0x24893b7f, 0x31e8b380, 0x16ad013a,
+    0x2dc6c4d7, 0xbd4e05e2, 0x4f786032, 0x981760c1, 0x3f7b8008, 0x6f417cb3, 0x4c55d7b1, 0xafaa40ef,
+    0xae4bfa76, 0xe5e03b34, 0x1c805710, 0xe14aad52, 0x8f8361b2, 0xfafb63ed, 0x1d5f8a56, 0xa1d02639,
+    0x95106766, 0x34da3573, 0x509efea6, 0x63a82371, 0xf14d2947, 0x3c136b6c, 0x90a5e4ab, 0xba1a8d27,
+    0x301069b6, 0x6d2d54c8, 0xca37cbed, 0xc5eec2c0, 0x0aff1b7b, 0xb03b2a44, 0xcaf7dc4d, 0xdbe30a9a,
+    0xe6a397ca, 0x3524cae1, 0xb2006516, 0x4d8a2c60, 0x3b131dbc, 0x6d978291, 0x1f3287a9, 0x44c645d3,
+    0x5da875fb, 0x5a3ed294, 0xc598e5c4, 0x7286ebfc, 0xf09dd1c7, 0xae4f245f, 0xf3885f20, 0xe127a5eb,
+    0x4b9e5622, 0xd3a23b73, 0x5968bd09, 0x7b272967, 0xec000f5f, 0x6cf84979, 0x09c96c9a, 0xdab84639,
+    0x26dfd739, 0x29ee0de7, 0x97f1b3c4, 0x2cde8bf0, 0x5ad413d6, 0x2fa0fba5, 0xcc5ebc9c, 0xcd3bbf63,
+    0x3ec4469c, 0x10f0bfb5, 0xb613f2f0, 0xdd0d942b, 0xbb7602de, 0x656c67be, 0x8bb4855b, 0xe1f5c450,
+    0x0cadd9e2, 0x9824bf1f, 0xb3d9e7ac, 0x577c9f08, 0x89462619, 0xa5cbb93b, 0xe8377046, 0xf2f65411,
+    0x8add4169, 0x367c64eb, 0xcbc20e64, 0x0564f4d4, 0xe15ffc5e, 0x4aac8ec1, 0x99b3c2db, 0xd6fd8a0b,
+    0x362b3f72, 0x6e387cbe, 0xa24ec876, 0x80ce9340, 0x279bbd15, 0xbf073dd3, 0xb5595c00, 0x93381c08,
+    0xb83fed16, 0xa3fca240, 0xefb6fc0a, 0x8b6cd4eb, 0xdc317c75, 0xededa7a8, 0xe11d83a6, 0x518a0cba,
+    0xa8833ac9, 0x27bc673a, 0x5b705952, 0xd8deb3b4, 0x82c768f9, 0xd5e29d18, 0xe976b1e3, 0x70cf724e,
+    0xec17e3a9, 0x5a352735, 0x1e46e181, 0x2f21f266, 0x10d1f89e, 0x97cf1f52, 0xa3d779d7, 0xcfc73ecd,
+    0xc6ee6736, 0x75b85bf0, 0x4a55ecd1, 0x10092ab3, 0x31cf551d, 0x47a6d92a, 0x5a4a8989, 0xa4b6d945,
+    0x509c94d8, 0xef001137, 0xc91ad447, 0x2270f0d0, 0xa593dcac, 0x0ac66e77, 0xd2ca9062, 0x77d4e77b,
+    0x5b3b32db, 0xa6761219, 0x93bf2a1d, 0x56efa4ed, 0xa1ab8dd1, 0x844ad730, 0xa9b360b7, 0x50ccbc98,
+    0xbf7232ee, 0xf88047c5, 0xe5716bac, 0xcf8da5e5, 0x7ad5f98d, 0x792f2811, 0xb515ebcf, 0x1212c059,
+    0x1ae59001, 0xb56731c0, 0x7db9e02d, 0xdcc228b3, 0xc9b91178, 0x9a7a00f5, 0xf570a1dd, 0x8a28d150,
+    0x03bde89b, 0x72045272, 0x9e73f1ed, 0xde2d73aa, 0x05f25ede, 0x32609a89, 0xf14ad396, 0xcbf63209,
+    0xfc1affec, 0x92a258aa, 0x7f09f92b, 0xffa967e2, 0x2a6742fd, 0x8e0a73e3, 0x02985d31, 0x9f1d2d8a,
+    0x8452cdea, 0xa3003f6a, 0xdf6c0956, 0x0a1fb28b, 0xe0e4679f, 0xec7058fe, 0x540e47bf, 0xbe6a6fff,
+    0x73650df0, 0x5fd3b852, 0x41a84d91, 0xf2cb3df0, 0x5dee41b8, 0x808a2d46, 0x9ab0cb15, 0x726f5e6c,
+    0xd49785fd, 0x6a190b08, 0xe3c0c242, 0x67e5248f, 0xc59202d6, 0xfc20206e, 0x53608ad5, 0x060a3056,
+    0x60f1de7a, 0x62b7a2d7, 0xbb353216, 0xabe5780d, 0x11cf9512, 0x0e7b94b0, 0x0f76100e, 0xb6efa764,
+    0x49bf51d1, 0xb40f8158, 0xe7f2281f, 0x46fc9f6f, 0xf3d8a614, 0x643ebb13, 0x82aa7ae0, 0x2375d270,
+    0xbf800c6e, 0x3c78edbd, 0xba1801e4, 0x9931fb07, 0xef229a4c, 0x78fc614c, 0x1bf3c5d7, 0x203d0611,
+    0xe504b720, 0x0f82e7d2, 0x036ff38b, 0x5516e347, 0xb57f4ac0, 0xa3d272b8, 0x83fcb6e6, 0x00139e84,
+    0xa4f6741d, 0x9000eda2, 0xfaca6c3d, 0x215ab619, 0x0e24908c, 0xe34a154f, 0x7dc377e4, 0x9677f9c6,
+    0xf059a861, 0x60dd812c, 0x4a7d356a, 0xf64c875b, 0xe785df68, 0x315082d7, 0xe1ff2371, 0x3fdabe84,
+    0xafae8674, 0xfceb9938, 0xd1bdf58f, 0xdc7f0a30, 0x68103d40, 0xaaff7bcc, 0xaf526601, 0x5358e799,
+    0xd6cede54, 0xd8a057b4, 0xe245f8d9, 0xbef0d012, 0x8119ba28, 0xa7f16262, 0x70f26b76, 0x3fd56272,
+    0x241ccb61, 0x9c1ef479, 0xeb3def79, 0x7653c193, 0x8cde3edf, 0x4e84a5e1, 0xc04a0d5a, 0x81c3cb86,
+    0x5ba3005a, 0x193db035, 0x57de3686, 0x70251592, 0x5649e0b1, 0x327b0657, 0x7de2b2b8, 0x87cb49c0,
+    0xcb67e023, 0x44b80a7c, 0xf27d953e, 0xce706200, 0xaf901a73, 0xda88e961, 0x844993f4, 0xf2699e66,
+    0xbd9e7598, 0x6b2de88c, 0x53a99b2b, 0xff102483, 0x965eba43, 0x9ba2b979, 0x88f381c7, 0x0a6db0fa,
+    0x86f72437, 0xbed24526, 0x14cf7980, 0x4eb16518, 0xbf50ff9a, 0xc0ba303b, 0xa89b65fe, 0x2d679a1f,
+    0xfe7efc5c, 0x405ea28f, 0x3ad05137, 0x1abce1a6, 0xafab1294, 0x34101b5f, 0x053d7750, 0xb0e2d2a6,
+    0x3dc47f24, 0xd4d845b7, 0xb8656d5d, 0x60656770, 0xd733fec4, 0x691f53f5, 0xf5cef15f, 0xabed4dce,
+    0xc36b2517, 0xf6d4e69a, 0x1fa63e33, 0x75144245, 0x042c757c, 0x67bbba31, 0xd04d87c5, 0x0464417a,
+    0xb725cc9b, 0x1557014d, 0x3d0053f5, 0x4440bf22, 0x08dd7cfb, 0x63040c6d, 0x4726be7a, 0x0c89bc7d,
+    0x7d81ac4b, 0xf1eb6ca9, 0x97c8ed8c, 0x06193dfa, 0x27ecb4c5, 0xba26d797, 0x661aa5d0, 0xef457930,
+    0xd7b55818, 0xf83cca8b, 0x99d70748, 0xce3063fd, 0xd0418a88, 0xa67e3f19, 0x52b1a08f, 0x711f0188,
+    0x75c694e7, 0xcda0e0dc, 0x8c26e9e2, 0x2ebcc507, 0x5b715cb7, 0x36109dc6, 0x1794fb79, 0xc71ef5f3,
+    0x10f5e385, 0xc0c7a222, 0xd26b7b62, 0xdfabd748, 0x3e8c1f42, 0xdc6a2e78, 0x05d4339e, 0x8880fdbc,
+    0xe346ed63, 0x05a5a422, 0x0a4f6afe, 0x31bf1ad1, 0x081048b8, 0x90d8efbc, 0x97c9900b, 0x4813a4b8,
+    0x3eee88f0, 0x29346c53, 0x1babaeab, 0x44bb04e3, 0xb1f26887, 0x281f8b67, 0x479deac8, 0x3d9fdbc1,
+    0xda14526d, 0x31a4e163, 0x56b17b01, 0x043fe39a, 0x818fec16, 0x4e960da8, 0xa0d3f94b, 0x7accdc45,
+    0x376dcf25, 0xa3a602e5, 0xf98619f4, 0xf06b82cd, 0x3beae289, 0x1c0eadab, 0x031fd7ce, 0xcc71d0bd,
+    0xdc3bad1f, 0xfcd0f2e0, 0x3789f52a, 0xdd6715f0, 0xeb453056, 0x1675c713, 0x505e36e8, 0x8bf08c55,
+    0x53207165, 0x38f7daf7, 0x6fe2a36b, 0x9f8340bd, 0x7ed5375c, 0x846e918b, 0xe089199d, 0x4a5677d1,
+    0x4d62507f, 0xa94282cb, 0x8292ffb8, 0x9a9529c3, 0xc10e8a28, 0x247a49d7, 0xf41f897c, 0x8394879b,
+    0xd7dffc08, 0x9a6a85d2, 0x164854d5, 0x735bbc42, 0xbefc904c, 0x34785201, 0x195575a4, 0x949d7eb9,
+    0xfdcbe589, 0xf60c800c, 0xe505702a, 0x3045b3f5, 0xff5cdb62, 0x8314b4de, 0xa3782b92, 0x04bd86bc,
+    0x4d32b0f0, 0x5cb76d2c, 0x829f66ad, 0x7077f151, 0x4d4ab8c8, 0x365b206d, 0x3d52d2dc, 0xce076134,
+    0x95f12754, 0xd2c7f775, 0x2cde72bd, 0xf706bf9b, 0x135a794a, 0xabdcd3de, 0x50f34eaf, 0xb9244174,
+    0x68792d79, 0x3a89fbce, 0x8d63db2e, 0xd4848643, 0xd681301a, 0x887313e3, 0x07983e26, 0xd279c769,
+    0x4f1786a6, 0xcf47ba37, 0x5b9943d2, 0x005fb448, 0x68d779e0, 0xe3c0f814, 0x346fa254, 0xb9d29a1d,
+    0x87c93b87, 0x254137f6, 0x3153b231, 0xe7d35b01, 0x66de1eed, 0x1610bf89, 0x1b753927, 0x8d90f3f9,
+    0x393d0709, 0xf4bfe108, 0xad4e069c, 0x37a542f4, 0x12bd687c, 0x7f7f0f2e, 0xfa7332e3, 0xeaa9a496,
+    0x6f18cf30, 0xc1e1b25a, 0x1d8e97ec, 0x84d599bf, 0x0179cff1, 0xad4485fb, 0x8dff0fdb, 0x48a1cfe6,
+    0x7d7f7edf, 0x0ad2aba6, 0xc58f745e, 0x7c328a2f, 0xfd19294a, 0xfed94bc9, 0x2147ac59, 0x1143ad68,
+    0x142613e4, 0xe45063d0, 0x1619f89f, 0x3604d40e, 0x493bf68f, 0x5912b05a, 0xe91fee30, 0x9813a26a,
+    0x9f8130a9, 0xf76abd00, 0x3f82d7fb, 0x88f9cd1f, 0xad3716b1, 0x999517cd, 0x10e2f255, 0x32ff7cc4,
+    0x159d7ea8, 0xee58877c, 0x46247b04, 0x2cbefd44, 0xf2c2f9a6, 0x34794c8c, 0x173699a4, 0x1280edb6,
+    0x646784e4, 0x1383119e, 0x146e398a, 0x5ab6dfe9, 0xb771c353, 0xdd82c0b7, 0x907a1bb5, 0xa0548c1a,
+    0xa2c1e544, 0x6a8bb543, 0x24dd3de0, 0xab57eb7f, 0xf8f05184, 0x777355cf, 0xe0f6ac2c, 0x47315dec,
+    0x3576ada6, 0x18324269, 0x6f014cb8, 0xc48037e9, 0xafd30255, 0x87e3455d, 0x32dc7945, 0x487b9aab,
+    0x2b1e8bf7, 0xa2daf10f, 0x363df3e1, 0x1551d9da, 0x994cfa29, 0xf63f651a, 0x2de759cc, 0x34a72072,
+    0xfcdd9409, 0xc0138e2d, 0x670c37c5, 0x55b2bcf3, 0xd5cbbcae, 0x73053827, 0x7b717d7b, 0xcc0d3113,
+    0x493cb4b0, 0x7b947930, 0x1560a2d6, 0x0cab22da, 0x7a5b9981, 0x08a21b61, 0x10907749, 0x378cecba,
+    0x404e2b27, 0x15124082, 0xd5303ef2, 0x1a8ffd95, 0x8d430914, 0xe27f53db, 0x0a91b419, 0x85474e74,
+    0x202025aa, 0x23a9bdbf, 0x95303cc1, 0xcc8b209e, 0x7430d4e8, 0x86311f52, 0x9395bf21, 0xf3bc453f,
+    0x6485d29e, 0x992525b5, 0x9a293c3a, 0xa5682f40, 0xa5522375, 0x9d0470d8, 0x76e86713, 0x266c6365,
+    0x828e8421, 0x2e4477f9, 0x3f39a39e, 0x9d5f5cc6, 0x274c338c, 0x6c0e540c, 0x928d95eb, 0x2cdf2c46,
+    0x66c8becd, 0x593b9866, 0x2bb5c499, 0xbcde0d3d, 0xd7a46ff0, 0x2f781594, 0xaca0d110, 0x680aa592,
+    0x0bcfe9c1, 0xe25f51ea, 0xa5d14778, 0xc2cd6d64, 0x7ef4e1b8, 0xa1ca09e4, 0x604016ff, 0x9ed03941,
+    0xc22e7571, 0x23d0ef4e, 0x4bae4387, 0xe42166cf, 0x36a9c9ac, 0x0f2a8946, 0x2243f35f, 0xd4b0abc4,
+    0xb20b9815, 0x775aaf71, 0xec448865, 0xe8ffddea, 0xaf9ca817, 0xa20adf90, 0x807b4555, 0x4e90afea,
+    0x1e546140, 0x439e419b, 0xbf03575b, 0x4b62e2da, 0x3901f487, 0x504de040, 0x807b1f85, 0x7d3895a0,
+    0xf7ff5162, 0x7fece9cd, 0x0a81337f, 0x32b9d3a3, 0x01de1682, 0x1c6a4443, 0x0190e0ef, 0x87c09412,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000010429624198832568\
+                          76169444192465601618458351817556959360325703910069443225478828393565899456512 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d,
+    0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461e, 0x98be66bc, 0x08588ab7,
+    0x00000000,
+    0x9255886f, 0x363c68c0, 0x4ba762e5, 0xeb17c4ca, 0x4ad6defa, 0x283c1764, 0x87b28fbd, 0x64ed1b42,
+    0x0327f6af, 0xb657e60a, 0x31f41e5a, 0xd3f1c9fa, 0xca035135, 0x74c8251c, 0xb1a9451d, 0x82d8bcd1,
+    0xa1892f68, 0x01aa33df, 0x7d88f6bb, 0xca5a0aeb, 0x48f8577b, 0x912b0ace, 0xc51ecf02, 0xe249de40,
+    0x7ab2dbd0, 0x8d519a4a, 0xcdd0521b, 0xfc99d51d, 0x49a4cb16, 0x4aa51491, 0x8f6ec0bc, 0x3e79c76f,
+    0x3ad53a13, 0x6ff49d11, 0x70658b6f, 0x8c3e34e1, 0x1fd59dc7, 0x0bfc82ce, 0x600a08d6, 0x58603341,
+    0xd4675a7e, 0x8c397ac8, 0xfe2c6250, 0x8d4a9330, 0xe639f583, 0x4f5c858e, 0xfb376d16, 0x6dff0c91,
+    0x8b35e484, 0x2038a392, 0x3c37f267, 0x790dc57d, 0x953e85ed, 0x5cb18636, 0xce686b03, 0xc28e4a76,
+    0x987751e7, 0xe3ae9640, 0xc65875a8, 0x945d8907, 0x3e458e99, 0x4bb5a60a, 0xe195dff8, 0x7cb2ca9b,
+    0x7e4b8e7b, 0x64378dbe, 0x6266153a, 0xadcd42f7, 0x364c5eb2, 0xa7ab85bf, 0x95c85cb4, 0x8e2f93ba,
+    0x1702964a, 0x6862971b, 0x38711b61, 0x461d13ff, 0xace825ee, 0x82e59ac4, 0x3b87b699, 0x69e81eed,
+    0x36abedec, 0xa135716e, 0x649ebd5e, 0x58b6d5d0, 0xbc364611, 0x4ef4f89b, 0xeb83598b, 0xdb135ba5,
+    0x13ae91a8, 0x4edbe753, 0x9c28c94f, 0x876ecbf6, 0xbb3c49a2, 0x28e0fd2b, 0x5c8f5728, 0xcc657c7a,
+    0x18495b17, 0x88534dff, 0xd6edbe0e, 0x77c103c1, 0xe0d56aa4, 0x17f12295, 0xa3e10e26, 0x17e00b57,
+    0x994943fc, 0x77cd43ad, 0x1131db2f, 0xbf57615b, 0x5943caac, 0x79c252e2, 0x840877db, 0x44401f34,
+    0x9915c702, 0xfda04711, 0xaeb19014, 0xc410fcb4, 0x15670c2c, 0xdc2f9108, 0xf8db5101, 0xc8ad2a23,
+    0xd87fba72, 0xcb620d6d, 0xaa1142fb, 0x54e12fdb, 0xa4e9bec9, 0x5459d2d5, 0x32152e18, 0x94c6ba24,
+    0x93543f64, 0x962fcde9, 0x524c2297, 0x8959f998, 0x37d14ba3, 0x167bea79, 0x71c6d38d, 0xae1010f5,
+    0xb28a57e6, 0xffc9ef22, 0xec96e9ed, 0xc582965d, 0xf99f43aa, 0xed932d85, 0x8441af62, 0xb4a591c2,
+    0xa076f9a3, 0x4a229361, 0x10175f31, 0x78d30d5b, 0x5ce768f4, 0x0fa1664c, 0x933a3e0a, 0x7bb8d906,
+    0xc4952107, 0x24754c97, 0x354c9de0, 0xe2740830, 0xe44d8207, 0x8d1b730f, 0xde6c85d2, 0x215a53bc,
+    0xb0f49f93, 0x13d6e766, 0x6464a4f8, 0x7d2837f7, 0x2bb8c9be, 0xc6528a81, 0x39887259, 0xf4711e83,
+    0x9f7b22dd, 0x1e0f11e8, 0xa320bb64, 0xde01c371, 0x910b84aa, 0x77df0f3b, 0x1a865f94, 0x5023080e,
+    0x4c1a7464, 0xadaf6264, 0x6523eeee, 0xab6cf895, 0xc6e20a60, 0x6c3f2a96, 0x9bb448a2, 0x937ed451,
+    0x4909ee8a, 0xbe719e01, 0x695a96e4, 0x7e33fc2f, 0x208b2e64, 0xfc51bd64, 0x05fbd70f, 0x6e5e451f,
+    0xf0024ad6, 0xf4e851ca, 0xa18443ef, 0x301ad7b3, 0x192f508a, 0xa2a52eb2, 0x449a9534, 0x1674515f,
+    0x1740aa30, 0x74bd7e11, 0xfb247c7c, 0x9db9c164, 0x4b49e2d3, 0x3366784a, 0x265a9929, 0xb1360312,
+    0x3e5f57eb, 0xbab624b3, 0x3daeda99, 0x856556ef, 0x2df8def3, 0x56df845d, 0xeb8181e8, 0x53142693,
+    0xd3bd81e5, 0x58f02b34, 0x1e400218, 0xa169301c, 0x20c474ee, 0xcb036eb1, 0x7628873d, 0x39e1630a,
+    0x7ff5a130, 0x1d44b3fc, 0xf03abcbb, 0x782369ba, 0x2c7de519, 0x4d7eca61, 0x230c9136, 0x382ee088,
+    0x63b01e0f, 0x50a1a5d3, 0xafcbee27, 0x555b1223, 0x76957f50, 0x7d8c2989, 0x242b09e4, 0x9e151f8b,
+    0xf5c3537e, 0x78c2e027, 0xdb893178, 0xe04747e2, 0x9e4a14a4, 0x5983c4a5, 0x5e67e576, 0xaea070f1,
+    0xde0c6e17, 0xa60712a3, 0x5f3471cb, 0x5bd7fb2b, 0x496e4773, 0x11d8159f, 0x4ca768f3, 0x3c8dd024,
+    0xe811d135, 0x9b7ca3f2, 0x832d22e3, 0x2a54b1a1, 0x29a6b539, 0x08497a03, 0x9dfa08a9, 0x9cad78f4,
+    0xc63451d8, 0x93a0006a, 0xf97cce12, 0x23008b2d, 0x42d37302, 0x715cb1eb, 0xa876fb76, 0xa9c8919d,
+    0xdb15c7de, 0x9c85c775, 0x23aa0fa2, 0xb67aa06e, 0x4207bc29, 0xd76fb1db, 0x1ad307b4, 0xe0862ed9,
+    0x1e9020c0, 0x118eec67, 0x2be6e7ee, 0x36dd7c24, 0x79a3d98d, 0xca6da7fd, 0x3649df45, 0x9e1a22ef,
+    0x417f45ab, 0xd3aea324, 0xe708e627, 0x62628260, 0x057893f4, 0xfb0ed905, 0x6303d29c, 0xdf32c24c,
+    0xc1c76ee8, 0x6cfba914, 0x194ba39d, 0x6595c3df, 0xb2944b97, 0x7176b27b, 0x07c75e1d, 0x053b5642,
+    0xf23ff55c, 0x06512657, 0x243584fb, 0x39e142e5, 0xf4b769f9, 0x37875aee, 0x8fa84936, 0x0cdd7f80,
+    0x27ba9ccc, 0xba54c3ae, 0x901681e3, 0x65215cfe, 0xe9a1cc74, 0x66bd02f8, 0x5198ccc4, 0x7098a9b6,
+    0xf6c5f0cd, 0x88174384, 0xf37db5d6, 0x19a16aab, 0x404b432d, 0x8de7d949, 0x6049086c, 0x85361350,
+    0x8a6f0f29, 0xc85fe883, 0x0f166a4d, 0x1d7fc6d2, 0x8bdf9b36, 0x936b91a7, 0x1548f1bc, 0x4a8c314a,
+    0x5e9f731d, 0x75b9c56e, 0xd56bc16d, 0x8f2aeba5, 0xe488e9c9, 0xdc03f856, 0x46779fcb, 0x234c2232,
+    0xc03373ff, 0x455058ef, 0x57206d70, 0x2e95de21, 0xb09312fc, 0x827ce832, 0x49464002, 0xeef21e03,
+    0xf21e3939, 0x045c0077, 0xd5067bdb, 0x50312af8, 0x25b1818f, 0xce4fcacf, 0xaf8d8af2, 0x0374083e,
+    0x04e976a4, 0x7b84f9eb, 0xdc9ca794, 0x85f16b61, 0xe390117a, 0x22b2a4ba, 0x059bd9af, 0x4bfa771c,
+    0x8b188925, 0x2e9b05ba, 0xbcc95eb9, 0x3ad6a9f3, 0x2851113b, 0xbda02b42, 0xf2019ddf, 0xb278ae5a,
+    0xa249be2a, 0x8c6c39db, 0x61c1ee03, 0xd5daf1b5, 0x1f3c8196, 0xd5876e3e, 0xb4441e32, 0xdd3c36ae,
+    0xf0eb9c49, 0x27d75d06, 0x5ec1b4d3, 0x8a8753fe, 0x572a53b0, 0xd54548f0, 0xccb7e333, 0xb2b85cd4,
+    0x057025df, 0xc228e869, 0xaf7d6669, 0x96f69d77, 0x086bbc4e, 0xa9f3b21a, 0x4a361401, 0x99cbaa28,
+    0x282edf55, 0x854a1132, 0x5c72756f, 0xa4f66870, 0x152e007d, 0x7c1b773a, 0xb4a8dee9, 0xc701d9cd,
+    0xcfdf1f3a, 0x2e5f281b, 0x29f89f91, 0x085867e3, 0x20da3d1b, 0x139c474c, 0x2d3fcae1, 0x7187db40,
+    0x6e9a3a3f, 0x377d9c57, 0x572d1816, 0x6ce4b66a, 0xb42a259e, 0xde4138c8, 0x531ae17e, 0x7fae020f,
+    0xe9a420f5, 0x068b3a89, 0x0a86a6ca, 0x459216e3, 0x7bdcc401, 0x34d74e5f, 0x2e96070a, 0xcd812ea2,
+    0x71e9febe, 0xc6e05e1e, 0xb91504e2, 0x8f2efdc5, 0x1a06d8b7, 0xcf69b6c6, 0xb7da60a2, 0xfa3418aa,
+    0xcca26cd7, 0x91f354c8, 0x43364374, 0x7d40f65d, 0x7a1ac03e, 0x2d69e154, 0x6b6407e5, 0x225c3514,
+    0x0b99f62c, 0x298ca5db, 0xabf0bbd9, 0xef36ef02, 0xa002e287, 0xa5c77867, 0x6bb07b8d, 0x1f8be3d6,
+    0x4c88b30f, 0x152864ad, 0xea6c5814, 0x326e9cf2, 0xcd6afa84, 0x01a85794, 0xe12d6a13, 0xed2db65d,
+    0x23fc3333, 0xf9629a72, 0x3f7491d2, 0x00314c4d, 0xe254db9f, 0xfe1e7f18, 0x51ffc664, 0x3a47b45d,
+    0xbaceb8c2, 0x855a138b, 0x82ad474e, 0xe0237c66, 0x9ab16d37, 0x0a35c455, 0x6f23218b, 0x4e88b733,
+    0x5ac4b6ac, 0x54c0efe6, 0xb4b7ebbb, 0x9949509a, 0x88ca0974, 0x0756ddf4, 0xd630bc5a, 0x76a48111,
+    0x4b7b6cc0, 0x4053ee73, 0x129fee3f, 0x164b50bb, 0xf5e8102e, 0x066ce77c, 0x8a564322, 0x931b41e9,
+    0x24bed2f1, 0x48180489, 0xde9e7a66, 0xc3dc9496, 0xd291ee3c, 0xbff1c4f8, 0xd4bf6afa, 0x6189b38f,
+    0x1cb36c1b, 0xe734b691, 0x9475c1ee, 0x93ef354e, 0xa065792c, 0x89da8458, 0x6ae0406b, 0x789ed6f3,
+    0xdab40bb9, 0xffe522d8, 0x4bd0571a, 0x4c4aabce, 0x0cf52222, 0x608dc237, 0x763ef8c4, 0x1238fe92,
+    0x97954368, 0x12406bb2, 0xb1bfb0b2, 0xbd244b55, 0xc1639732, 0x6b40627e, 0xdc398099, 0x3f457813,
+    0x8bf74767, 0x0c620bcf, 0x519047c4, 0x82a76542, 0x97a7b037, 0xc460a96a, 0xc662f8f0, 0x55e95ccb,
+    0x1f549a8b, 0x8c690d0e, 0x2857d8e2, 0x55d85aa8, 0x97ecb2e9, 0x36132449, 0x29479365, 0x8071cd19,
+    0x5a8c56e0, 0xa8ae4bd1, 0x8c2f892a, 0x12af4115, 0x069818df, 0x0fd44b91, 0x46373919, 0x0101c575,
+    0xfa2e0e99, 0x62adf223, 0xe9b9f72f, 0xb5980358, 0x4455e312, 0xe8450e79, 0x9c6fe89e, 0xea86780b,
+    0x3a3a9a12, 0x89a3359e, 0xfa39e28e, 0x3eae22bd, 0xd314acc4, 0x10174d01, 0xd17b8ee9, 0x7ba0ec63,
+    0x06925ba9, 0x87fd5440, 0x03385933, 0x5fe25e1f, 0x99a0377c, 0xf06c1bad, 0x28a8dd77, 0x0a7c3400,
+    0xd4dfba0b, 0x8a12da4c, 0x49560987, 0x0007f00e, 0x5cf8084d, 0x50e074b5, 0xb8e30d7d, 0x28512d09,
+    0xc87912c0, 0xe65a2dae, 0x68dd275f, 0xda9d0f77, 0x79dd1795, 0xe91e37a3, 0x57beb4b4, 0x163d5593,
+    0x2ecd0cdc, 0x45eae28d, 0xc83966ef, 0x964eca28, 0xbc26d307, 0x5c1311d2, 0x313d70e0, 0x6940f1c2,
+    0x9e964f31, 0x29861b1b, 0x9a28d076, 0xc308e6b2, 0xa0572abc, 0x6a64e4cc, 0x2d4c78e5, 0x408b8f32,
+    0x993b3aeb, 0x939d8ec9, 0x24f56813, 0xf244049f, 0x6708747d, 0x9ca84e58, 0xd22dfe5a, 0x14c7a3e3,
+    0x865bbc53, 0x30475f41, 0x04dc674a, 0x5c343151, 0x304edebe, 0x9a1f88d4, 0xd9db18e5, 0xb4265570,
+    0x357c3eb5, 0x98ee41ba, 0xac521494, 0xf149c24d, 0x8ea8e7c3, 0xa434975c, 0xbef2d5f1, 0x740b8319,
+    0xc7f44d82, 0xfa8adba0, 0x55eb6d44, 0x26e6162c, 0xcbc077ed, 0x938756b6, 0x2cea3bef, 0xd11d8927,
+    0x71107fbf, 0xfe452330, 0x9de5fd64, 0x60f06f43, 0x31c6d05c, 0xde3a56b5, 0x70820a3e, 0x48ea946b,
+    0x46de2a8a, 0xc0a5428c, 0x55f4b144, 0x920e79a9, 0xfc06557c, 0x000ac89b, 0x3be8f1c2, 0x9d6a663f,
+    0xc91fff56, 0xedebde11, 0xdcae7ab4, 0x0b31fdd1, 0x330801ea, 0x077a113e, 0x4e8cc301, 0x91de5957,
+    0x8bea3566, 0x9c1d207c, 0x295d61e2, 0x75d6d855, 0x3b0219cb, 0x3131ea8e, 0x02703cfc, 0xe1b4363b,
+    0xd21e79fa, 0xe20c3d6c, 0x30491737, 0x42c781c8, 0x411bc86b, 0x66387563, 0x84914f8d, 0xf937db47,
+    0x29b76c55, 0x46eeeca7, 0x3f50f275, 0x0e8ae56a, 0x86df4103, 0xb498a923, 0xf660c432, 0xc84b6660,
+    0xf64a1f48, 0xd669134d, 0xeed86617, 0x2ff3ba4d, 0x23bc6922, 0x4ea71943, 0x341e6b13, 0xaecaa3f7,
+    0xd65dcdb4, 0x6ac14176, 0x410eea99, 0x254291a6, 0x2277aa1a, 0x7d58225d, 0x96f66d50, 0x1981e230,
+    0x192277c5, 0x9bde0c45, 0xc515f957, 0x67e2e67b, 0x3168298d, 0x434d7f8b, 0xa1e4fee6, 0x0f22c585,
+    0x77f531c0, 0x1a6d74ec, 0x9d231420, 0xd3b15d3e, 0x83a0cbab, 0xe4c491c9, 0xd9ee11df, 0x7c9ece74,
+    0xc8d407b8, 0x9d884b1b, 0x226d79dd, 0x5a3de257, 0xfab2273e, 0x63a24bf5, 0xec2b2c8d, 0x5a62429b,
+    0x1bc27d60, 0x1245dc1e, 0x4971267d, 0xd6c0a2ed, 0x72d99cf5, 0xaacc11e7, 0x2e8c94d7, 0xb74db8da,
+    0x6a0cfd1e, 0x3859159d, 0xd5a0afd4, 0xabfc2063, 0x12156740, 0xdf372825, 0x20cfc52e, 0x5e0e2f0c,
+    0xbed82a59, 0xc13eb63f, 0x04a22930, 0xe82b63e3, 0x7b08e10c, 0x9e01b7b1, 0x271b8ace, 0x178e3f31,
+    0x591469b5, 0x4813eff2, 0xa7114eeb, 0x3b6eae89, 0xcbd9e204, 0x7035e0a3, 0x73dbceef, 0xfc936e29,
+    0x79b42af5, 0xf88a0197, 0x819f5403, 0xcf8e7373, 0xf58d4815, 0x46e50546, 0x34dcc49d, 0xfc128322,
+    0x8946536d, 0x4321be68, 0x989020d4, 0x58e0db4e, 0xb8d20ba1, 0xefc76286, 0xe0e47390, 0x3029800e,
+    0xf0fc276e, 0x70d1291d, 0x30e1b06d, 0x1a3692c3, 0xa591b2c6, 0xad0e00c6, 0x43e6041f, 0x399cb32b,
+    0x0c00521d, 0x4745d07a, 0x835df211, 0x90cfc8a1, 0x2aa3fce4, 0x37d01bcd, 0xbb8f5635, 0x5cfc7b54,
+    0xbf619251, 0xe52d8809, 0xcc9cf879, 0x47b039e5, 0x1fefa35d, 0x88c04e68, 0x41fd6842, 0xc0739d3e,
+    0xc2091135, 0x3fa86052, 0xf92a5cb7, 0x9b918c3d, 0xb631a40d, 0x3d7c22b4, 0x1610e439, 0x4e0bfe89,
+    0x5640dc67, 0x99324a71, 0x4e1760a4, 0xd84cb2a0, 0x15fe3ced, 0xea14c1ef, 0xa6ffe7fa, 0x125620ee,
+    0xa99f61c8, 0x93485365, 0x9f93f42f, 0x7298c737, 0x77f06718, 0x2ce68f32, 0xefb27c32, 0x91c5447e,
+    0xdb3dae3a, 0x4af62b8f, 0x68b34653, 0x1c35bfc8, 0xe59649f5, 0x29880367, 0xa674f37a, 0x37c8d43a,
+    0x5e106b1c, 0x9bb5ae14, 0xe97c0574, 0xdb745876, 0x04e259f3, 0xdf59c03f, 0x1a1069a1, 0xa3a3ceb0,
+    0x8336f760, 0xd344d023, 0x3d4bde19, 0x23b8ef80, 0x1394bb85, 0xc9264fe7, 0x6844112c, 0x8e020dce,
+    0xe9bf99d9, 0xa6cd259a, 0x05a72ed1, 0x34793afd, 0x79c6b7d0, 0x64c096c6, 0x43de9e32, 0x42ed1a77,
+    0xf768fea9, 0xaec5e8ff, 0xcd7486cc, 0xfe7c9553, 0x9d7d2b62, 0xd2a050fb, 0x1b2aac37, 0xc3f589a0,
+    0x00837081, 0x324d976d, 0x20229f42, 0x450c2778, 0x2ccebc63, 0x9ee4edbf, 0x21c63505, 0x64ef60d3,
+    0x50f4abce, 0x98e4becb, 0x3219a10a, 0xe74737be, 0xd08dc747, 0x9252d89f, 0x7143bb10, 0x2a35c1a1,
+    0x195e425d, 0xa3548718, 0xec1a61bc, 0x37febafc, 0x9d909c9c, 0x93fe7526, 0x884b9df6, 0x75f13ad2,
+    0x0688781c, 0xbad34902, 0x7413d3b2, 0x4d1ad56e, 0xdb0d0cf2, 0x69a4bf3e, 0xb2a33fdf, 0x9c389b60,
+    0xbe3914fe, 0x8d48928e, 0x02509c8f, 0x7224f435, 0xb70e943b, 0x3404ac6f, 0x78cada31, 0x50407d1f,
+    0x73d5d9cf, 0xeeb5996c, 0x7100a655, 0x4d99ca9c, 0xd6f1fb80, 0xdc7020cb, 0xc36884ee, 0x1928068b,
+    0x64a6bf7c, 0x8f542492, 0xddf73b72, 0xda097f94, 0x3306a28b, 0x72ffd08e, 0xe18b5780, 0xeb3ff093,
+    0x9874e48f, 0xcf4bcf01, 0x49784aa8, 0x9b692eb2, 0x95bbc9e4, 0xde36ce44, 0x91116443, 0x4f20348d,
+    0xc658e59e, 0xb3970bdb, 0xb8b15da7, 0x2b7520b4, 0x862b481e, 0x6e215a15, 0x70a44b7b, 0xebaee8f1,
+    0x7740e0ba, 0x81f6907f, 0xba42f073, 0x633653ce, 0x6b2e53eb, 0x486f3dfd, 0xec539a92, 0xf73524df,
+    0x5de4e6cf, 0x8b64bdf3, 0x882de9c1, 0x660d49d2, 0xed47d35d, 0xd02c31d3, 0xa8e2ddc5, 0x4b7a35ab,
+    0x95aa023f, 0xa30a9e49, 0x75bc47e1, 0xa3f5c875, 0xcd40e70d, 0xab2afb98, 0xe5479312, 0x72b9ed3d,
+    0x9dcd9b40, 0x1f1e48db, 0xb9be222a, 0x8e8447c9, 0xf5b83aa2, 0x3a2a0976, 0x2884737e, 0x9d14d231,
+    0x42779f19, 0xb43f8680, 0x68394f55, 0x1fc7a2f5, 0xe3b2cbbb, 0xe09bc12d, 0x0f1a5722, 0x2cad3170,
+    0xe428da08, 0xd1aaf821, 0xc11bccd4, 0xcb9a8b43, 0x9eafe6ec, 0x92a3313d, 0xeb16ec00, 0x45e8fb06,
+    0xf0c5a772, 0x514e3322, 0x5607f8b9, 0xd9e00d18, 0x9bdcc171, 0x51ae4c25, 0x379ba12f, 0x5a94f062,
+    0x647ba9ea, 0x1c1f0176, 0x90552a8d, 0x4a5e39db, 0xc0737498, 0x6751eb53, 0x1653ec23, 0x7bd89810,
+    0xbc0dce24, 0x1ffb08a9, 0x3ecd1b34, 0x2792b7e3, 0xd1570239, 0x61114440, 0xe3490b27, 0x458316fb,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000005214812099416284\
+                          38084722096232800809229175908778479680162851955034721612739414196782949728256 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e,
+    0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30f, 0x4c5f335e, 0x042c455b,
+    0x00000000,
+    0x88dc428c, 0x6262474a, 0x8737fdcd, 0x695cab83, 0xfc7bb593, 0x7821c447, 0x29ddcd0d, 0xdbabf112,
+    0x1deeec59, 0x4c5f988f, 0xfab8048a, 0x1e1cafa8, 0xdb4c19da, 0x64ce8419, 0xf19bf4ea, 0xd53ea63f,
+    0x978db683, 0xa78a1448, 0x64f661e3, 0xa8c1bcbf, 0xa81ff4d3, 0x6e104944, 0x9e97cb62, 0xa3717fe4,
+    0x7aeb77bb, 0xc1e3472e, 0x9ee1d40f, 0x6d9f323b, 0x403dfd2c, 0xf4b69a10, 0x30a50030, 0xf5485716,
+    0x638629bb, 0xb401f46f, 0x2dae91bf, 0x4e1e237b, 0x5659a640, 0xc2eccf98, 0x25a61ab2, 0xad63046e,
+    0x6bc29bb0, 0x7026e104, 0xf32ac87d, 0x23bdbb43, 0x86f25717, 0x310e853c, 0x8bb4c25f, 0x85ce5cb4,
+    0x9a1a9292, 0x6bec5d58, 0xa7c82930, 0xcd5a7b23, 0x1a60d069, 0x6f693113, 0x740d9257, 0xc0a2fd4c,
+    0x0b4fbe54, 0xfab4ac45, 0xcba81e56, 0x85814983, 0xafdbe363, 0x48ba7a47, 0xda0b5721, 0xcad0fbfd,
+    0xf1c9b143, 0xda880aa7, 0x7dd58971, 0xbf5ccb81, 0xd23ee0c7, 0xcb8df889, 0x6c76a5e6, 0x2737c5c7,
+    0xb62ff4a5, 0x817957f7, 0x0d6e8fde, 0x69ce9b9f, 0x723b5028, 0x13f67acf, 0x472967c0, 0x8af5256d,
+    0x1883db7c, 0xc3d7996f, 0xb1e165b0, 0xb70b028b, 0x8c1637e6, 0x1f32a64c, 0x4107056f, 0x641c7300,
+    0xb4de6235, 0xbb55500a, 0x8bced608, 0x9e38934a, 0x1e4387d1, 0x058eb5db, 0x7786becb, 0x3c9a1d48,
+    0x3c09d5f1, 0x6b071061, 0x18f42eee, 0xd40e4e0b, 0x20b0ad68, 0x2c41a79b, 0xd9333031, 0x31a83d77,
+    0xfcb7a412, 0xb4c453a9, 0xbbb5f385, 0xf25142f1, 0x04d8d8bf, 0x226647da, 0x3b5eab02, 0x86d65051,
+    0x718f1630, 0x7c0c9419, 0xe61ee8e6, 0x6cfa14fd, 0x1f76db44, 0x4bcc1f9f, 0x4207ffdc, 0xd8c7628a,
+    0xd4252239, 0xd2da9bdc, 0x1ea411b9, 0x73450b65, 0x9f7d2ff6, 0x2054ecca, 0x635e5d9d, 0x2458dd43,
+    0xd7fd31be, 0xf1e26d6c, 0x8bd71505, 0x64ca9ff3, 0x7528d1d0, 0x87b8a6d1, 0x29b577d1, 0x47299343,
+    0x32702e53, 0x69976041, 0x749c5593, 0xeca0a2b2, 0x6afcabe3, 0xaa741610, 0x0a97b562, 0x667a9e9a,
+    0xebb3b39e, 0x171d19d4, 0xb9392eeb, 0x68e9602d, 0xe78c505a, 0xe5348808, 0x24433183, 0x62692d5d,
+    0x86a265db, 0x8c7b2e6a, 0xccccecfa, 0x2e51c3f3, 0x2a996211, 0x6dbec7fe, 0xfe371133, 0xc87224e5,
+    0xfa332858, 0xdb933333, 0xf43d469e, 0x9f2d3260, 0x7280ad2e, 0x23fee4da, 0x8190e652, 0xd6b8d101,
+    0x036e551f, 0x8ce75a7c, 0x1f0ff126, 0x3261e9d0, 0xa7dbb9d1, 0x0915d4d7, 0x00e3d94f, 0xa5d0de62,
+    0x6c58aa63, 0xea0dc4ec, 0x1af5d7f1, 0x9ec54680, 0xb56928a3, 0xc04f04cd, 0x8d66c8c0, 0xfd6ddb03,
+    0xe2a2703e, 0x14773d50, 0x163904ff, 0xe75716f3, 0x2bcfd514, 0x1a2e0ae1, 0x8316f8d6, 0xea44581b,
+    0x2d233507, 0x4f22f358, 0xb8fb57c5, 0x0e559cb5, 0xeb504461, 0x95a12b1d, 0x9fec8bc5, 0x8cff30bf,
+    0x734a8b9f, 0x6f5a4357, 0xdfaa4bdb, 0x7e32d690, 0xbf2974dd, 0x227e1b0f, 0x27788ab8, 0xb3ee5a12,
+    0x7756b3ec, 0xd99dd417, 0x98029883, 0xdd8c7767, 0xcb3ec7b7, 0x241d22d0, 0xd582e793, 0x04d06524,
+    0x32435f91, 0xc56c75fc, 0x0d50d43f, 0x0c62e44e, 0xd8b6c2af, 0xa921a825, 0x51f88a4f, 0x76011f9e,
+    0xbc123142, 0xd2863dff, 0x74bd14bb, 0x4f1fb370, 0x153faded, 0x98f80cf1, 0xa8e31a5b, 0x0cb71951,
+    0x5a02b320, 0x35829871, 0x2f465ce9, 0x7850d720, 0xffb96811, 0x1fa20f2a, 0xd50b5cd9, 0x836a35c6,
+    0x296b7e7b, 0xc75a250c, 0x75b2430c, 0xaa741a91, 0xcebc73ce, 0x8d0c85c8, 0x58e74f3c, 0x55c10fbb,
+    0xd3a34188, 0xde1e86ef, 0xffb0c94f, 0xac48ecd9, 0x6b37be27, 0x179b3ec2, 0x0865e85f, 0x8efa67db,
+    0x72923efe, 0xba9b0157, 0xfc25bf1b, 0xe07ca0a7, 0x0f1205cc, 0x5844c945, 0x0690f80e, 0x198527be,
+    0xa0ecf243, 0x5d03e469, 0xbed1edf6, 0x3a3a2682, 0x2c7606b0, 0xe1d79305, 0xa1625be3, 0xb8eb0ba7,
+    0x054c88d7, 0x32e9105e, 0x93d792b7, 0x4fccdcd3, 0x89348510, 0xf209121a, 0x8f4c50c6, 0xcde1e50a,
+    0xe4659b44, 0x7f6c01e6, 0x2933f20d, 0x6b25692a, 0x6adc77e4, 0x501dd244, 0x71641ba2, 0x3a30aaa1,
+    0xd5e0c1cf, 0xffa39394, 0x1c2e11d5, 0x837b281f, 0x0de8954d, 0x6801ebfd, 0xc23aac01, 0xcb1c4d74,
+    0x1ff4a9a6, 0x7674bbe9, 0xd0c8ad5a, 0xe5a21b66, 0xde4da4e1, 0x4b5632fe, 0x62e0d525, 0x4d8a5975,
+    0x121ed80c, 0x713a5d3d, 0x97b967ab, 0x28559aa0, 0xc07b09ee, 0x65511655, 0x35240e50, 0x8c2dee35,
+    0xdd859259, 0xcafb05e0, 0xba092b06, 0xa19f2b72, 0x9e5b5fdb, 0x954f3247, 0xa08f1f84, 0x9cc2638f,
+    0x2113491a, 0x64287d02, 0x9d6f5aa0, 0x443b481e, 0x135aa02f, 0x61822bea, 0x6e8114f1, 0xda21cf9a,
+    0x84981c0a, 0x6887a076, 0x4d5e366a, 0xccb9ba0c, 0x4b5988e4, 0x8f10ad66, 0x71eefd07, 0x3183f51a,
+    0x822b07fe, 0xdcd5c771, 0x29fa0da7, 0xe2f1ee11, 0x24761363, 0x6839427c, 0xfbfe13cb, 0x9e9c009d,
+    0x3f132f99, 0xd658c927, 0xdecfd785, 0xb838dad5, 0xb5d341ff, 0x84ad36fc, 0xc33d3d4d, 0x20e2b20a,
+    0xabf41061, 0x4f66a18c, 0x823144fc, 0x38e49b3e, 0x6d9c5bba, 0x9e8d2f64, 0xfc01ebb0, 0xa7990552,
+    0x955afab5, 0x84935383, 0xa06ea825, 0xd9a04859, 0x89cd253c, 0x44f91270, 0x3ffe94c5, 0x83de2edc,
+    0xcd8eeed0, 0x8748d8fa, 0x5e517460, 0xa0d2fd92, 0x8d251c03, 0x347ea95f, 0xfe7f6d61, 0xa67c5c9f,
+    0x4b355d73, 0xf1b96c55, 0x052f002a, 0xb78130ea, 0xa99f6967, 0x7f6d41b0, 0x4f6a74f8, 0x75d5e832,
+    0x6263e2d5, 0x9e81bc2d, 0x74dcc55d, 0x6f7ba93f, 0x691e4dca, 0xd44539f3, 0x83c95efe, 0x0857996e,
+    0x3af5cde0, 0x21bece01, 0xbd2a12d0, 0x100ff0b1, 0x8d978292, 0x0e7ef2b0, 0x2cd0d933, 0x25bb4556,
+    0x22fe61f5, 0xd4ecf330, 0x3bda36e9, 0xff33b42c, 0xe9712928, 0xb5f122a2, 0xe237698d, 0x4670535f,
+    0x84827f01, 0x56605baa, 0xc38aa574, 0xbc9dcb2f, 0xec1dbe97, 0x6cca234e, 0xba330dc7, 0x8e695f45,
+    0xf86e4321, 0x70d9e8ef, 0x6f80c205, 0x4afd370e, 0xac81705d, 0xcfdc397b, 0x918a9738, 0xd78be0f8,
+    0xa6952b46, 0x696ab6d4, 0x9cd1a83e, 0x89764453, 0xedfe9ff5, 0xdbe44abe, 0x8658e3ac, 0xd0a00be9,
+    0x41afa717, 0xa8fc51ac, 0x3f99fb59, 0x0afa51f0, 0xa57868e1, 0xcf967f12, 0xa41bd920, 0xb42606cd,
+    0x2b3dae5b, 0xd02c1303, 0xe88d372a, 0x32682e3a, 0xbd3f0187, 0xdb7d1242, 0xb06d16e0, 0x947f1eca,
+    0x0fd74c3a, 0x3234db2f, 0x27007b0e, 0x4ee21a13, 0xbb44cd34, 0xbcef0520, 0x4a74eb4c, 0x29c072f4,
+    0x150e2946, 0x9fdb390d, 0x628fb501, 0x42f55070, 0x050b878d, 0x8656548b, 0x0d480ef6, 0xf12b23b7,
+    0xc06be689, 0x8b15b208, 0x1385e408, 0xb193f1f2, 0x1a9b04d3, 0x1bdb008f, 0x00267896, 0x70718511,
+    0x35ef52cc, 0xdb23cda3, 0xb5f6ab1a, 0xc0a1fe0d, 0x864f472a, 0x91b1538c, 0x19f45f1d, 0x60409dcf,
+    0x4f99aaf5, 0x1ae6a40d, 0xa2b5989f, 0x33d205d1, 0xf8209789, 0xabfdec3e, 0x610a93e4, 0x39462542,
+    0x4faa10b6, 0x6fd22857, 0x8f607c46, 0x4835c3b5, 0x2304ea2c, 0x4c3d2c90, 0x0948fd55, 0x1ac65a8f,
+    0xf25eb98e, 0x041daf77, 0xf3ef71ef, 0xbc12453e, 0x677b7953, 0x34203ed0, 0x48abba8c, 0xd19f937b,
+    0xd40087b1, 0x8b602ba0, 0xc500753d, 0xad0ba23a, 0x5c2c8f92, 0xd641901d, 0x7a29aa00, 0xfcac9dd1,
+    0xe63da22c, 0x2541d335, 0xd458ab5e, 0x6c38c2cb, 0x0b7ad016, 0x14d83bb7, 0xa3c00a93, 0xb02178ae,
+    0x8a4076da, 0x4d82c520, 0x87885c66, 0xdbd74ae3, 0x528e829d, 0xeada0e91, 0x60adcd84, 0x594a7512,
+    0x85f235fd, 0x67989291, 0x036c2967, 0x781a77c3, 0xb3839deb, 0xe43dfb29, 0xa602d035, 0x1c9ea03b,
+    0xe94c31ef, 0x1eac224c, 0x2501cd51, 0x914912b7, 0x60b52207, 0x540654b9, 0xe04c3480, 0xe8414f39,
+    0x1663b0a0, 0x1e79dc3d, 0x511a13fc, 0xb172dba4, 0xc83841f8, 0xd4439389, 0x60aafd5b, 0x607f8491,
+    0x2c9ed0d1, 0xfdedc739, 0x1c46c4d1, 0x8e20e85e, 0xedd97541, 0x8cb4d71a, 0xa6e49b5b, 0x3e0978b8,
+    0x6f7c5350, 0xa5f4a2c9, 0xffdef98e, 0x1e0fc507, 0x3a5e1afb, 0x3956c781, 0x673c6e92, 0xdab7f972,
+    0xe1e1d87e, 0xe29f10de, 0x48f6d483, 0x5e0d4f00, 0x0e5cbecd, 0xd2721368, 0x82df56a3, 0xb6c77ce4,
+    0x908e5223, 0x9592ce2f, 0xcd87ae51, 0x79f2caf2, 0x312b6b20, 0x98ee8064, 0x37a3de7f, 0x6eff4671,
+    0xd220b50f, 0x6308eab3, 0x7f0c1706, 0x1d4307fb, 0xbd3ef561, 0x2038f3ea, 0x61b48128, 0xd6cd22d9,
+    0x3c1a6301, 0x561af726, 0x35dd244b, 0xb443bad6, 0x6ea0e626, 0x8e6f0309, 0xd42a1fe3, 0x480b7f5b,
+    0xe8e633ab, 0xdfa6083a, 0x1ddc7741, 0xef4caf82, 0x271e375c, 0xcf76f0ce, 0xb2ea2808, 0x01e9686c,
+    0xd923ec56, 0x4778e69e, 0x90d66cd1, 0xce677429, 0x7b08d367, 0xa90e6a95, 0x7180ee21, 0xdc288b2b,
+    0xe49ec502, 0x8a308a7b, 0x10963b13, 0x6e7836cf, 0xcd154427, 0x7010b913, 0x6a5a75ca, 0x15812822,
+    0x11d57954, 0x030466fd, 0x651b7663, 0x0cb2bbe9, 0xa8b3ef11, 0x20ef4c8b, 0xc13c8af1, 0x1e8edc27,
+    0xc10da06f, 0x51531618, 0xa43cb2f0, 0xd4bd2f31, 0xcfb14c9e, 0xe96b0062, 0x794e5f24, 0xe840ead3,
+    0x9b0a48d3, 0xde485487, 0x9a477c31, 0x8f0177b9, 0x0c930597, 0x0070f7d7, 0x17ba1758, 0x816c2692,
+    0x336825c5, 0x4d01d878, 0x16906e84, 0xa5b53d5f, 0x5c073af2, 0x77769754, 0x9cc2b175, 0xf943ba75,
+    0x3bf11c82, 0x5a1c0baf, 0x701122d2, 0x11d47a2b, 0x5b78589a, 0x39614b65, 0xeda64a9e, 0xc6b52e82,
+    0xc15850c4, 0xc1607f23, 0x67b7c59f, 0xd778203e, 0x91071e3d, 0x4813cb85, 0x6849bd05, 0x64e9342a,
+    0xe4ad3d49, 0x83e278a2, 0x7d4654d3, 0x882fa67c, 0x66934235, 0x831c7273, 0xfc20c2c3, 0xfb5dcbe8,
+    0x2ec6deac, 0xa5e5009d, 0xcf0b5eb7, 0x6490e30d, 0x26f6e166, 0xc4e99b42, 0x7320da6c, 0x2ca49d99,
+    0x016b5e87, 0xaf76f43f, 0x72f2279e, 0x2339398a, 0x1851f1a9, 0xeec88a65, 0xf9515c98, 0xbb7bf113,
+    0x1c0e2ffb, 0x58950439, 0x85676c16, 0x30528321, 0x4dcf48b6, 0xde4445f8, 0xc44ab8d5, 0x454bed56,
+    0x871f418d, 0xaacecee1, 0x24c717fd, 0x0e0efac9, 0x84766378, 0x872c4efa, 0xc7abaabb, 0x9037374c,
+    0x2dc7ba74, 0x84213566, 0xf655f2f2, 0x1354f137, 0xf00c5bb9, 0x7025f4d6, 0xbfecb3b7, 0xd7b04348,
+    0x73ebc5dc, 0xe570819d, 0x02d4ce47, 0xa018269c, 0xed3a7928, 0x44db0653, 0x1b42b64b, 0x38b95835,
+    0x12fac5aa, 0xc3b427ff, 0x9bfd0231, 0x429feab0, 0x32859014, 0x0b7ad00d, 0x62010b77, 0x75295035,
+    0x0da0da97, 0xb2389e4b, 0x9ca86956, 0x28ffc6db, 0x091c2f51, 0xb22e087b, 0xdd4fa7f2, 0x808cc50f,
+    0x08394755, 0x1da86e19, 0xf1e830f7, 0xac892d94, 0xc1e10f3d, 0x7ed837f0, 0x8f3c13d2, 0xee2e16a7,
+    0xd8549c28, 0xb8f07b1a, 0x4b238820, 0x83acb7b9, 0x04a7d0ec, 0x000f97e0, 0x7f6897de, 0xdfc08cd1,
+    0x3f7889a6, 0x374ddcad, 0x69a7727b, 0x98e8a56b, 0x408808c4, 0x909e99ae, 0xc81960d0, 0x677ed800,
+    0xb2dd9b2b, 0x6d0e54e0, 0x44396438, 0x236f14ad, 0x63edff0b, 0x71df2b8b, 0xf4b766e5, 0x46bfae9a,
+    0xf923463d, 0x72deede9, 0x83db4bb9, 0x88781169, 0xbba5bc10, 0xa140404f, 0xc3fa284e, 0x48479360,
+    0x14258be8, 0x9135ea65, 0x7d19d7c8, 0x1e153e5c, 0xf71c1970, 0x42616ccb, 0xc3a3f5b5, 0x7c90eed3,
+    0x2ffa1fc1, 0x9499a3dc, 0xc65c5fd7, 0x72d35d5e, 0x63da69d1, 0x71316d29, 0xd66c7e23, 0x2f6dfdcd,
+    0xf9f19401, 0x19324c5f, 0xd631576e, 0x924071cb, 0x3491e625, 0xb9a23b89, 0x4765dd73, 0xd2eeddf3,
+    0x90168303, 0x91378b07, 0x2a64adf6, 0x29c3064e, 0x259301e5, 0xfbb8c38e, 0x98635cee, 0x16e293ff,
+    0x651f17e5, 0x5383986f, 0x3cbc0a64, 0xada959b6, 0xc44a9379, 0x8ddb40d8, 0x62a20199, 0xe9e161d7,
+    0x1d0475eb, 0xecd3588a, 0xe0d61440, 0x3e5bed78, 0x0295e49d, 0x6178cf4c, 0x66a9df69, 0xbee6fa37,
+    0x36b37102, 0xa0fab0c0, 0x602ebc23, 0x63d6fdc7, 0xede6a53a, 0x498fabc4, 0x2a089fa7, 0x44fefe59,
+    0x1cb60d45, 0xdcb4e137, 0x4100278c, 0x1e55ed58, 0x967341f7, 0x27f636a6, 0x94e63842, 0xc9ca5681,
+    0xd1338499, 0x13707db6, 0xd36f962c, 0x28a9601d, 0x2de3b47d, 0xadbc7dbb, 0xcfeaa1f2, 0x47ad9925,
+    0x95714ba6, 0xeae1a8bc, 0xbb49a213, 0x8bbaa6f0, 0x6f1d7de8, 0x0783dc0b, 0xeff22c2a, 0x9198d166,
+    0x84f992b8, 0xa87b620b, 0x4b0953fc, 0x1cedd4b0, 0x6aebcd40, 0xe4dc252a, 0xcb140748, 0xb95bb7c0,
+    0xd80a61d7, 0xc891d6e3, 0x0f1ec72e, 0x1bc7fcde, 0x9fa2861a, 0xe9d4e623, 0x869b464b, 0x86d99886,
+    0x8da39d72, 0x80b365f4, 0x7a7818a5, 0x0d0464a8, 0xce9a1073, 0x92c16e72, 0x32024845, 0x1a3c91eb,
+    0xc917ca09, 0x7b5ee94b, 0x4de0ebae, 0xf22c586b, 0x91c68aef, 0x2e824af3, 0xc21843c9, 0x93d8e460,
+    0x8266f53b, 0x740408fc, 0x09c9a645, 0xddb69dfb, 0x6b0440d1, 0x37df9f2c, 0xe58f7de9, 0xc304a635,
+    0xb1875ec2, 0x15a45abf, 0x8259a354, 0x891b62d1, 0xba96b7a3, 0xea0c89c8, 0x456b0618, 0xab534b46,
+    0x53184b6b, 0xfcd70174, 0x09265606, 0x3a36f51a, 0xeb7e749e, 0xc3a48bfa, 0xc8094068, 0xdb1ebca4,
+    0x9533ab8d, 0x501c26fb, 0x9e91bfd7, 0x246cd17b, 0x5dd2cff6, 0xdd55a18b, 0xc3458ff3, 0xa7c41718,
+    0xcfb4c148, 0xaa0357a6, 0x3031d00c, 0x2651be0e, 0x9791a4ec, 0x6ad6159e, 0xcd626b6e, 0x836fde3b,
+    0x8b0435a0, 0xf599da39, 0xe2d5c0cc, 0xf89c2b83, 0x7c8ad918, 0xa5efb046, 0xe8e4a630, 0x40fa9bac,
+    0x9bbb82ca, 0x025654aa, 0xb49f6293, 0xe62fcf2a, 0xb90bebe3, 0x6c308823, 0xd7e35923, 0x1d05af7e,
+    0x78b20047, 0xbb047c86, 0xe365aea6, 0xb08c03aa, 0xab850ae9, 0x106ef07d, 0xcdc20591, 0x210168b5,
+    0xe4f28d49, 0x26e8be94, 0x7827bd42, 0xdd5422ca, 0x2f3e37ae, 0x97117816, 0x731aac67, 0x541694e8,
+    0xbf13d825, 0x9e00a991, 0xea51cbe2, 0xd64597e8, 0x90d6b41a, 0x358c9a18, 0x510615b6, 0x1a8fc8b4,
+    0x52dbcb1b, 0x6ac51c28, 0xca476281, 0xd3264220, 0xd1ac324c, 0x8ee5abdb, 0xd9d7dd60, 0xcb7290e6,
+    0x24e9bc0d, 0xc7c69129, 0x923e3458, 0xf76de49e, 0xf9851406, 0x80df24ae, 0xf7562149, 0x324a8fd7,
+    0xf826b17f, 0x234f66f7, 0x6fb360f6, 0x119c93ee, 0x6924552f, 0x9e519e80, 0xa032733f, 0xce44da32,
+    0xbdb9e7b6, 0x1345eb8e, 0xede0e623, 0x5209de5b, 0x5fcde4ec, 0x79a09020, 0x4f366158, 0x51dafd69,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000002607406049708142\
+                          19042361048116400404614587954389239840081425977517360806369707098391474864128 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47,
+    0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d187, 0xa62f99af, 0x021622ad,
+    0x00000000,
+    0x845b2794, 0x646fb20d, 0xed7bb8dd, 0x4e131522, 0x8fd0ab1e, 0x8a403fdf, 0x1b6dd660, 0xc81acf99,
+    0xc894d597, 0x3cf499f1, 0x55b1b741, 0x512667bf, 0xe534b0fc, 0x351c5ed8, 0x4b217526, 0xdf841b77,
+    0x98ca30b6, 0x121c389c, 0x510e84e0, 0xab1f0009, 0x54c7a3a0, 0x32582a22, 0xced93df8, 0xebc84869,
+    0xec919486, 0x4baacdcb, 0xd964e32d, 0x58bcf01a, 0xe39c816d, 0x4c0a6f79, 0x2fa2f08f, 0x737b26df,
+    0x4a63424f, 0x2e527e87, 0x55f79e9c, 0x5716bb66, 0x725d75a6, 0x8424157c, 0x92e9473b, 0x7c4195ed,
+    0xa79c8e9e, 0x1d0461eb, 0xba85f9bb, 0xfd928226, 0xa28bf976, 0xb87bc83a, 0x3dd35455, 0x2f69d06f,
+    0x06311d80, 0xb9adbccc, 0x88f81390, 0x708550b5, 0xc4173ed3, 0x2f6bf47d, 0x9aa5c413, 0xe749b5d2,
+    0xe8006279, 0x7e74382d, 0x26afa97a, 0x8ac0edd4, 0x25ed9352, 0x13a65e20, 0x4924fa6c, 0xa6e76fee,
+    0x0c99b2a6, 0x212554f0, 0x674da409, 0xe53412ce, 0xeed05eaf, 0x3fc61341, 0x333bb331, 0x64ed7983,
+    0x1cb748de, 0xea0698f6, 0x5d51e434, 0x4dbdd1da, 0xb1823d74, 0xbd33b96b, 0xf5f8f164, 0xb348d76f,
+    0x921c5076, 0x5b4511d0, 0xef0cac0e, 0x2e5ef833, 0x41997b6b, 0x139da343, 0x459e389a, 0x9dc4dde5,
+    0x6fad5316, 0x632026f5, 0x3e2f0400, 0xa628e486, 0xc71fd3cd, 0x9ff1c512, 0x2795b649, 0x507c740a,
+    0x1dbdd6c8, 0xf43c6223, 0xa087732f, 0x6371f38f, 0x44156b3f, 0xd49f8c46, 0x74069e0d, 0xf6b8397f,
+    0xb231c2ad, 0x49aa6662, 0x3eb7eed7, 0x2047020f, 0x62144d62, 0x1910271f, 0x22ec58a7, 0x7fdcf5b6,
+    0x711e8e28, 0xb0bb78d6, 0x642d12e9, 0x3c936329, 0xe5fdad56, 0xe0bb0544, 0x016c73f8, 0xa2082b54,
+    0x3c11c748, 0xbac96841, 0xc902f755, 0xe3847d34, 0x8056b2e2, 0x7012faba, 0xa09dc5c5, 0x6f072804,
+    0x2ff6a307, 0xefe7432f, 0xd39c5f5a, 0xd2319c25, 0x9e9d74c0, 0x1669be78, 0x7f2e9a11, 0x3218b963,
+    0xa284e121, 0xf617bbf0, 0x0b482502, 0xce4758e9, 0xcc13a5e1, 0xc3707697, 0x0c5c6399, 0x48080ca4,
+    0x51d2d4c4, 0x44ab5c83, 0x43e05b8b, 0xa45fdcaf, 0xe8ad3eb6, 0x9906a03e, 0x16636eb1, 0x0883053b,
+    0x68d93c74, 0x36050524, 0x7d749628, 0xf11af71a, 0x3127c1a9, 0xc70f0fc5, 0x0f06086e, 0x527ffc96,
+    0x2bd71724, 0x03950a78, 0x0adf5bd4, 0xa845aa7d, 0xfd0b3b4a, 0x7417245c, 0xca9a3500, 0x8d150203,
+    0x9feb0812, 0x17f0be02, 0x68defcfd, 0xf704a28f, 0xc8e86a68, 0x81ea577a, 0xefe90873, 0x82a102d5,
+    0x7166d3bc, 0x9b4008cd, 0x2ba5f394, 0x011ea5c6, 0xeeeca46c, 0xd7138bac, 0x89fadf26, 0xa0f91d3f,
+    0x90c743ce, 0x491bf96f, 0x7c7fe1cb, 0x117dbfee, 0x13fe9507, 0x8c82413f, 0x0342c44f, 0x8d06d167,
+    0x967f4657, 0x27d01901, 0x01c4bdda, 0x51e59ade, 0x5405cfc5, 0xabc275a5, 0x6db0a3d0, 0xe9800413,
+    0x316b623b, 0x507e3801, 0xb629e2d8, 0x3816f267, 0x958feccf, 0xb59419e0, 0x97643748, 0xbb0d3436,
+    0x3a2cf0d5, 0xf9e4ba43, 0x91450dd8, 0x7e21b5e4, 0xd91feac3, 0x2b59e30f, 0xcdfc3a75, 0x16d37941,
+    0xf06eaf9c, 0xefad3931, 0x97280f8f, 0x98a6a039, 0xa2c47049, 0x90229f5f, 0x8c6c4d5b, 0xe9d06e30,
+    0xdfacdd51, 0x5d9dd6ee, 0x185fd202, 0x25421cd9, 0xc66c19ec, 0x469c4dd7, 0x92277aab, 0x495b72bc,
+    0x8c3b96ca, 0x0d9ce69e, 0x2f6b8d39, 0xe11f51af, 0xb4bb9a6c, 0xc4fa1cad, 0x146792fe, 0x46f46888,
+    0x7a825ecf, 0xb54ae0e8, 0xea58754d, 0x12d866b1, 0xf8358855, 0x8415f87a, 0xc0f79751, 0xa22792bd,
+    0x13a03873, 0x93c95cf9, 0x3c3a9a1f, 0xf8d5a59a, 0x4144120b, 0x7da02572, 0x876c7557, 0x5ddeefd5,
+    0x7ff458ed, 0xb803c748, 0xb210fbd6, 0xd10ac24e, 0x2ea1cf01, 0x2271b5df, 0x9249995c, 0x14b8ec5a,
+    0x95b67bc6, 0x88143244, 0xb39ca5c7, 0xfe88e0a5, 0x4b7dac37, 0xf64203c9, 0x29c2f137, 0x5e7aba43,
+    0x38038bb2, 0x2b3911ab, 0x3c1b31fc, 0xdd8668c2, 0x954432b7, 0xd47d8d12, 0x6a78b563, 0x60420064,
+    0x3798f709, 0xdfeae202, 0x6f5396fc, 0x4fd9554f, 0xf98166a6, 0x6e36c143, 0x52ac373e, 0x1b13388e,
+    0x5516bf70, 0x5a6d6307, 0xeb29751f, 0xa3953b70, 0x82f6a157, 0xd1292136, 0x518e6996, 0x29409464,
+    0xe22db0c5, 0x972f372c, 0x3eaf830a, 0xd2a2402f, 0xa37fa3f3, 0xe15ac80e, 0xf1294242, 0x73773262,
+    0x7ea604bc, 0x6433434c, 0xa914b9af, 0xab2ffe27, 0x2e83c71b, 0x54bbdfa5, 0x56b6f034, 0x02850391,
+    0x8ddd2e59, 0x558cda4b, 0x4b88bb0c, 0xfe30feb8, 0xf94d40e0, 0x6625483d, 0x65da90d2, 0x0726a0a5,
+    0xfbf4e0db, 0xf6cb6657, 0x838d795e, 0x4fbc57df, 0x7e8eecc5, 0xa055db13, 0xa2eb6672, 0x92483cbc,
+    0xcecb3613, 0x21a1cc2a, 0x7f1a2cdb, 0x896fbdba, 0xc5805bd2, 0x6db45548, 0xc4886df2, 0xb0d3e049,
+    0x5c950316, 0xde075dbc, 0xe469d3fe, 0x290f4bed, 0x589b4cd4, 0x763c7580, 0xb8c2a4c5, 0x01653092,
+    0x5f5d3772, 0x5f74e47d, 0x4685b346, 0xe69f2a25, 0x01f46bbc, 0xcd6946ea, 0x1091131a, 0xe3546096,
+    0x49cd7b3e, 0x888e7b65, 0x4839d63f, 0x59269d29, 0x2701ab94, 0x9c26f191, 0x7e6473a2, 0x2a8a2c73,
+    0xd8fe6535, 0xfc6cae2e, 0x03300ce7, 0x7c751684, 0xa33d98bb, 0x2b4ea86d, 0xbb8dd752, 0x321c585a,
+    0x6bbc747b, 0x9e01a188, 0xed1474c9, 0x2e3e3b9f, 0x60b3ccbc, 0x3c2fdb44, 0x86e75f47, 0xec6c207c,
+    0x4cd95b6c, 0x671798b3, 0xc402b95b, 0x9b21929c, 0xad95d108, 0xbdce4405, 0x556ffbfe, 0x641dd1f5,
+    0x4d19033a, 0xae3d028d, 0x8122bd82, 0xf030ad34, 0xdf6dd268, 0xd7d263eb, 0xe4bf1b8d, 0x2d4ce568,
+    0x70fe87e4, 0x0d3aef32, 0x55ff5308, 0xd7355b02, 0x7e3c1a45, 0x3f013f68, 0x87d68519, 0xf55d5eca,
+    0xafe60d5b, 0xedd97e83, 0xe3a7e366, 0xf83e66e5, 0xae1d5c72, 0xd22f950c, 0x7ea75c90, 0x1d77e59f,
+    0x00dc3221, 0x95b7527a, 0x1f70eca1, 0x7bbb6a59, 0x7b979eb3, 0xd2f723b7, 0x0fe7a72e, 0x8eef4cca,
+    0xd6b43af6, 0xafcd73c6, 0xc870d279, 0x2dff79f5, 0xf104eb8b, 0xb0a1a3c3, 0x7ff4fc4f, 0x690c7f47,
+    0xc312d0a7, 0xedf741cc, 0x559b7d85, 0xb68dbfd1, 0xabffa149, 0xa3d3e228, 0x853c4f4c, 0x7991b3dd,
+    0x5299ca4d, 0x0778c774, 0xd3978728, 0x8123b354, 0x17cb8472, 0x5f0731f6, 0xd301c211, 0xc4be2c65,
+    0xdd469ffc, 0x35e693c9, 0xe9c5c986, 0xda060df2, 0x1ad7a9bb, 0xa1b12370, 0x99972cdf, 0x95aa73da,
+    0xb819977c, 0x630175aa, 0x540f2935, 0x00e31c2c, 0x2de0cf69, 0xea77782e, 0xcb8222b9, 0x43815bfd,
+    0xcecc3f84, 0xf89e4daa, 0xbc30cf96, 0x458a18be, 0x84926d1a, 0x82f9acce, 0xeaa7f669, 0xdeb625da,
+    0xa0544b3c, 0x16eaa1da, 0x53be4282, 0xac0b0a0b, 0x1b72144c, 0xf5f910cc, 0xae1299ee, 0x107e629e,
+    0xe6b9e922, 0xe846387c, 0x59cc02d3, 0x892b6639, 0x33172435, 0x21b7f862, 0xc4766c08, 0xa495bbc3,
+    0x01d5e854, 0x302b78a9, 0x9951347b, 0x21c6c217, 0xa9a2994c, 0x4d1b1896, 0xd0c5f9a6, 0xc94cfafd,
+    0x927479ae, 0xe435fa74, 0x64813fe6, 0x10ba6063, 0xf6d301c1, 0x8365c970, 0x2b135237, 0xd9895637,
+    0x625de1b7, 0x82debd15, 0xae9d4455, 0xae2c9aea, 0xb3d78012, 0x1b95c14e, 0xc6a99a47, 0x80745938,
+    0x9f6a28cf, 0x50342374, 0x47fb75d2, 0xcc083667, 0xbd7e4eba, 0x2d97291d, 0xdb96f388, 0x9a0e37dc,
+    0xa01cb5c4, 0x0133aec5, 0x31cf8ce8, 0x4f5aeb0c, 0xa476b8d1, 0x41f8aab5, 0xd95c40f9, 0x91c1757b,
+    0x35f4fe27, 0x592b271f, 0xc6cef5a3, 0x2144dc5d, 0xdd8a3139, 0x79d0f9b0, 0x3dc5ff8d, 0xf6ab8a94,
+    0x459348b4, 0x3d5da0c2, 0x5ae2b463, 0x55f8ada6, 0x53c95ab9, 0xc5682bda, 0x4243f0df, 0x27963481,
+    0x7aed7807, 0x93642ccb, 0x562861c2, 0x8db0191c, 0x8f81ebca, 0xef3a4caa, 0x9e769f26, 0x52cfaf96,
+    0xe2524c1f, 0xa33b0ff9, 0x9448d168, 0x6c75d988, 0xa9b07e5c, 0xbad7a217, 0x98728026, 0x89635f4c,
+    0x45304b72, 0x83578dfd, 0xa0b1d124, 0x8062e055, 0xa747730d, 0x6c3d237e, 0xcbdf1888, 0xc124ca4c,
+    0x344aab0b, 0x2e298061, 0xf4d69678, 0x3bb98325, 0xe39d8f30, 0x2136b317, 0xeaa0e71a, 0xbd235be1,
+    0x066c742b, 0x997ce334, 0x61b26747, 0x7c46700f, 0xae10c719, 0x0907cfb8, 0x1c3253bd, 0x545afcc5,
+    0xefaf8ec0, 0xbc96864c, 0x788c4c36, 0x71caf02b, 0xc1e6cfe0, 0xb320ae8f, 0x7e993bb9, 0xf09bbe90,
+    0xfe736c8d, 0x47b3f6b0, 0x4e256cdc, 0x4b130028, 0x98360e2c, 0x7f87421a, 0xcad9825f, 0x278a083a,
+    0xf7cd6c7b, 0xb3a5a9a2, 0x0bef1421, 0xae839c77, 0x943391aa, 0x081811b9, 0x60c2761a, 0x06700db1,
+    0x65249036, 0xa7d254fa, 0x548ec512, 0x75b36361, 0x42702a7f, 0x44b77871, 0x546f69f8, 0x8cc3d726,
+    0xaee873b8, 0x868cbe64, 0x2a8ce16b, 0x9a5e83ac, 0x16eb67c7, 0x968d0579, 0x1154c6c1, 0xb283bf68,
+    0x15e31bd6, 0x56f49a1b, 0x29b15c59, 0xd6578caa, 0x269a4b69, 0x1201a6b6, 0x15a5c00b, 0x3150f2dd,
+    0x102413ae, 0x612ea9fd, 0xa93a1689, 0x70d1b3e5, 0x1801aa49, 0x12446c85, 0x90b2601c, 0x1099c4e3,
+    0xdec33493, 0x1e6c68c2, 0x599a75ab, 0x5f355142, 0x9c99c5ab, 0xea00f3fa, 0x0d98531e, 0x7ea60e34,
+    0xafaf21f1, 0x5abecf64, 0x52ad1a3d, 0xa52964ae, 0x21f9c4d6, 0x13cd7c9b, 0x8990538a, 0xc86a1ab8,
+    0x038302f5, 0xdcbb0b5e, 0x023d3b0f, 0xb820db95, 0x56cc7a36, 0x430fce86, 0x953ecc30, 0x921179e8,
+    0xff3532da, 0x5b60e0ac, 0x4926fc9c, 0x1c04244b, 0xa8676fe9, 0xef12093c, 0xddf52329, 0x182e15ff,
+    0x8f91f38d, 0x3d1786e0, 0x29b3b088, 0xbd22fbbc, 0xed23138d, 0x9e72821e, 0x60a3ddeb, 0x88d5ebc1,
+    0x60133e62, 0xd5c83610, 0xb69444ec, 0xa0191b38, 0x62b24aa0, 0x7afa9b0b, 0x7ef9bf19, 0xefa628e9,
+    0x15c19c9c, 0x2c47bf78, 0xd0798d5c, 0x2964a453, 0x1ef4b56f, 0x5f921263, 0x62564f76, 0x3315acc7,
+    0xe4e468c7, 0x7343a298, 0x42079458, 0xcceb61a7, 0x361f1830, 0x8baeaca2, 0x91ef5cea, 0x6248aebe,
+    0x5f34063e, 0x9c0376c9, 0xf109397c, 0xebfcc483, 0x9c831d61, 0xb8cdeea1, 0x8921c306, 0x9c5bf4bd,
+    0xef55e435, 0x92dd4e48, 0x7e504d4b, 0xabf3fded, 0x1a9f0193, 0x5bf251ed, 0x4bea245d, 0x25a60ecb,
+    0xe1747687, 0x16912685, 0xd5d1412f, 0x19b80b9d, 0x9602bd9f, 0xac9f8a87, 0x6e9a0221, 0x7dea1a78,
+    0x4ad05703, 0x9be3ff0a, 0x56263005, 0x514853c3, 0xffeac0d4, 0xd0f965ab, 0x3b527968, 0x440b6e7a,
+    0xc7f2b35a, 0xac9c100d, 0x5c2e3fe3, 0x644cd06f, 0x1834ef6e, 0xe3851daf, 0x4e8d62ae, 0xa59f3aca,
+    0x3794a562, 0x7e110d5a, 0x403d1325, 0x4323370d, 0xd0c6d074, 0x8a75d5b0, 0x3e365ba2, 0xc14e2103,
+    0xa9a74d93, 0xdcd73d71, 0xd2dc2e36, 0x6d15ac80, 0x743da126, 0x71794bf0, 0xeff8bdba, 0xb156ab24,
+    0x36d7eca2, 0x7d2f4b25, 0xbffb9513, 0xb178766a, 0xe69110e5, 0x6d7a1ac1, 0xff5c4993, 0xb5fe2003,
+    0xa3eee3c5, 0x99303c46, 0x001ba068, 0xee8cd6af, 0x6bcd0dc4, 0x50addecf, 0x0c832ece, 0x378ddbc1,
+    0x53e1f87d, 0xd14477b4, 0xc1d725d3, 0x9344730a, 0x75820860, 0xc95d8d39, 0x961b0d2c, 0xbc5adbf0,
+    0x3d11272d, 0x71ec09cc, 0xc61a089c, 0x3bda4989, 0xe9c67b07, 0x2fe8bcfd, 0xae8ee80b, 0x02603abc,
+    0x8070e650, 0x15ae7fa1, 0xb930944e, 0x3a1c3bc6, 0x262c45a2, 0xe12f8209, 0xf7d70faf, 0xf00dff83,
+    0xa27d8e97, 0x2b7ae4c5, 0x94f924ec, 0x070bb71c, 0xbd722c2a, 0x2006685f, 0x7eaa1308, 0x66e78c82,
+    0x8c542742, 0x3ed6e4d1, 0x48a0590b, 0x720a3d2a, 0xe0ade8e2, 0xea82800e, 0xee38de3d, 0x90687420,
+    0xd5e8419f, 0x76561bb2, 0x4b90ccee, 0x5f009dba, 0xcefea85d, 0xcc63621d, 0xa366e68a, 0x2aed3964,
+    0xe2b0c5b6, 0xd146a121, 0x3dacb01a, 0x85924347, 0x9e931165, 0xd6bdb33c, 0xac26c171, 0xa15b648f,
+    0xfebe8378, 0x893c8b2a, 0x32e6b56b, 0x5aced1db, 0x3e4d1028, 0x4742afef, 0xdf543c06, 0x20dbe26f,
+    0xe39fa96c, 0x0e7c2db0, 0xcf2ed29a, 0xa096a790, 0xe1980a43, 0x59ad91c6, 0xa74cc569, 0x5def84e2,
+    0xd96511b5, 0x814ed074, 0x7c14990b, 0x3f35a1c2, 0x516d9c4e, 0xd50647e8, 0x616dcd8a, 0xb5c57fcf,
+    0xca8f3aed, 0x66c1373b, 0xe8cda21c, 0xfca7f95b, 0xdc4c8cd4, 0xd399cfa2, 0x7cdd0400, 0xb51b1eac,
+    0xb92f1b77, 0x25b95c43, 0xde34255d, 0xa7cc335f, 0x8f84e280, 0xee7475d3, 0xa01bf2d0, 0xc43a986c,
+    0xa98fb6e1, 0xe33e1dc3, 0xaa5ee351, 0x60070504, 0x6de9f4ec, 0x26871bc4, 0xf309bda5, 0x1710d11a,
+    0x50aa53df, 0x96a7a3d0, 0x81ca3e62, 0x239d8549, 0xb7ebf35a, 0x239987c5, 0x7da79925, 0xb680572e,
+    0x25489f74, 0x1491fcb3, 0x2ea56ae5, 0x8232c448, 0xbee6a165, 0x6b3da36e, 0xf3e3d0dc, 0xdeaf242b,
+    0x15595643, 0xdde138bf, 0x0faa3d78, 0x38858b92, 0xa4173052, 0xafd04bc1, 0xdca99f34, 0xf566b026,
+    0xab38f142, 0x3a85469c, 0xada01d5b, 0x07563b3a, 0x873b9151, 0xf473e99e, 0x24b47b08, 0x44cf3678,
+    0x4fdea9e6, 0x10936558, 0x60a0b9f2, 0x41c94358, 0x032462c5, 0xf61f2bde, 0xc4ffd97e, 0x98812f8e,
+    0xdbd46627, 0xe51ad6a5, 0x012fb146, 0x355a09a5, 0x9a42e8fe, 0x564e91c4, 0x99c4e533, 0x0b54fe06,
+    0xf556d75c, 0x2da01238, 0xae4a9693, 0xadfbd17a, 0xb446ce1d, 0xb67d84e3, 0xaa370ae7, 0xe27700cf,
+    0x0937a4bb, 0xd4236d4e, 0x7ea6df43, 0x0268cb67, 0x305a9497, 0x1007defb, 0x56b4c216, 0x7ba0e162,
+    0x2fe5cc47, 0x8389def6, 0x1180c828, 0xcbe6f0bf, 0x0d224305, 0xce73cf74, 0xbee67007, 0x6a0d213b,
+    0x5400940c, 0x29ce1533, 0xbae3eb72, 0x0c411788, 0xeaad2915, 0x039fa5b9, 0x78a6abb2, 0xc500608b,
+    0x4b9a2af3, 0x92c6c1ac, 0x56a1630e, 0x64444bc8, 0x8fd63266, 0x49274095, 0x0120e208, 0xcf11e8b5,
+    0xbc1bf5ae, 0xe82c5a59, 0x59547195, 0xa84eaa37, 0xaa9f5f10, 0xf37bb3a8, 0x564241ac, 0x9dc0c995,
+    0xe62ebc0f, 0x07cd1cdc, 0x6745e67c, 0xf2d63ba7, 0xde3d1b9e, 0xf6da3e3b, 0x5cd0f602, 0x97e348a1,
+    0xca6ab1b8, 0x22157751, 0x2965b1a5, 0xd70e621f, 0x567f851b, 0xfc5fbf4e, 0x7de2cbd4, 0xa2c609cd,
+    0xea2baff6, 0xc44d62c7, 0x5c994447, 0x875df2c5, 0xcdd6f55e, 0xbe9a1a6d, 0x52eed008, 0x9a7f45bb,
+    0x0363acbe, 0x1d76b31b, 0x21f02b14, 0x84f43456, 0xc4a9956a, 0xb8311337, 0x0f1a6344, 0x10667ff7,
+    0xa2dc2d92, 0x8fcb33c3, 0x71ebaa9b, 0xf949d6b6, 0xdc205b5f, 0x29db5b8f, 0x2dfa2c7a, 0x33a55b30,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000001303703024854071\
+                          09521180524058200202307293977194619920040712988758680403184853549195737432064 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723,
+    0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c3, 0xd317ccd7, 0x810b1156,
+    0x00000000,
+    0x8228e999, 0xf51d2e68, 0xccbdcdc8, 0xd56e0e05, 0x22c0ebd7, 0xedc39f64, 0x408ebcec, 0xeb5f4381,
+    0x938e4a17, 0x7171aff5, 0x3fc90716, 0x7eb1afc8, 0x07975bb4, 0x6504a359, 0xead45c54, 0xcc718dd8,
+    0xb1de85a6, 0x5dd7f001, 0x212cb7eb, 0x597504a1, 0x1ff1f7b8, 0xf0457c2e, 0x6348ea93, 0xc390755c,
+    0xec82aa55, 0x03608ece, 0x16cf7bf3, 0x5cd84857, 0xda15989d, 0xcff3fff9, 0xd1eca054, 0xb315139c,
+    0x69dae545, 0xec76c36d, 0x7aa1e33c, 0x7edc4c5b, 0xc9de9efc, 0x7505641d, 0x4075d8e3, 0xb213dc03,
+    0x454a86f6, 0xbbd8c05f, 0x3622dce2, 0x73b36471, 0xe0cd16b1, 0x47fa9088, 0x3f1b5457, 0x23225827,
+    0x45ffbcb8, 0xe01efedf, 0x3ae83f01, 0xd5b1b139, 0x3aaa7625, 0x57555d20, 0xdd02cedf, 0x1a31082c,
+    0x102c7ba5, 0x1bc9fb1d, 0xa3f828a2, 0x9e20adaf, 0x816bcb94, 0xd711ae4f, 0x330a8def, 0x7ecca5a7,
+    0x30a51ff0, 0x4aceedcb, 0x228f6482, 0xcdbc0b3e, 0x09533b54, 0x440833d7, 0x0dd25298, 0x0330ce1c,
+    0xc075dbfd, 0xca8cd651, 0xf87bebc9, 0x48aa93d1, 0x311c48e2, 0x329696dd, 0x0caf7624, 0x6128f838,
+    0x70a15f78, 0xd5e37df8, 0xabaf5f88, 0xcaa6906f, 0x5f760caa, 0x0aeaf97d, 0x3433744d, 0x2759bcb9,
+    0xab155a0e, 0x303da5d0, 0xfd8a3e25, 0x0f1952c5, 0x2669eacc, 0x359a5a48, 0xce97f92d, 0xd6624480,
+    0xdc44a8ec, 0x5769a3a0, 0x3b36b575, 0x239b9c50, 0xcb7a2349, 0x67c8d3b0, 0x558007ec, 0xb74399db,
+    0x0852a143, 0x0565dbca, 0xe5c7e6fd, 0x997458a2, 0x459207fa, 0x34f6e7f7, 0x497479b4, 0x8c5158a0,
+    0x4c176ef7, 0xee2db334, 0x8edb5b9d, 0x58a426a7, 0x22ef9a48, 0xda163975, 0xc29d6ce5, 0xc6d19c54,
+    0xacab6ea6, 0x0772a3e0, 0xbe8e7fa0, 0x741df416, 0x019f0182, 0xe30c4c3f, 0x6920191f, 0x35c9f87d,
+    0x3aa040f1, 0xc27d108c, 0x053bf891, 0xc4765895, 0xae69985b, 0x85f3d4b4, 0xc12ef4ac, 0xde5d0e25,
+    0x51c60408, 0x2fb49ab8, 0xfa8a7ac7, 0x164478d2, 0xbd0365b3, 0x2ea6a8b2, 0xb3976e72, 0x10346feb,
+    0xccc28ac0, 0xca8c6a48, 0xa6308e33, 0x00aeb6f3, 0xd1ed3658, 0xd523ca23, 0x87aca87d, 0x83aae859,
+    0x886cdf5c, 0x31dd110d, 0xda079e85, 0x5cc00c23, 0x3f71f23a, 0x544e4c4b, 0x8c466558, 0xd549687b,
+    0x1825a444, 0x4529bbd1, 0x94aa2083, 0x6e190c2c, 0x26c68db0, 0xa671c4b4, 0x0d003e9e, 0x99c43a76,
+    0xf7a18768, 0x49219c0a, 0x42767fb0, 0x18225ce4, 0x4ad6603e, 0x862881b7, 0xb1d49c23, 0x211db5aa,
+    0x240c1882, 0xeeeebf23, 0x0d08d786, 0x0c744684, 0xb1135788, 0x3cd0db3f, 0xd1677a8d, 0x1f327ed7,
+    0x22c9ec65, 0xea34adf6, 0x45eaf889, 0x749112a5, 0x6474f19c, 0x23c80175, 0x1d394cb6, 0x671d2a5e,
+    0xe0316486, 0x9c5ac123, 0x8e2a72fc, 0x797085d5, 0xbbc65098, 0xca1c6c76, 0xb4b699dc, 0x7fbfa97f,
+    0xf72d9d36, 0x27ecf07d, 0x2cdb5426, 0x967657e6, 0x9adbec6b, 0x86a309f0, 0x91a37de0, 0x6514cc43,
+    0xd727570e, 0xba152862, 0x3c7b8b62, 0x00f39a33, 0xf5547c20, 0x8e3a29f2, 0x4af2ca14, 0x085d7af1,
+    0x08d1f971, 0x0a731d89, 0x1a0f6d05, 0xab6fd4b7, 0x0163f0f9, 0x9044d8ae, 0x90c6aa8f, 0x9cfa1905,
+    0x23919cc5, 0xd995cf76, 0xe4397153, 0xf059ede6, 0xd64733fa, 0x307d74b7, 0xec5f7b1e, 0xcb12d62a,
+    0xb90a8567, 0x1dc98476, 0xa6cf3753, 0xb695c18d, 0x1150a838, 0xc5444725, 0xf61f54f9, 0xfa5134ec,
+    0xdaa893b3, 0x66cb18a7, 0x57b051b6, 0x1e0e7bba, 0xca5e34ca, 0x78c8c4e5, 0xba288081, 0xc021eced,
+    0x789847d1, 0xbf615dad, 0x47a99281, 0xe32eb00b, 0x04209e8c, 0x54ea96ea, 0xd9c5a2ad, 0x8eedf8e7,
+    0x77c48fad, 0x4e6dcc82, 0x22fbf30e, 0xe3357b12, 0xb4681c3a, 0xcab6e7d6, 0x99c3b147, 0x2212885d,
+    0xf001d646, 0xb4371144, 0x460697b7, 0x58f693cb, 0xf560950f, 0xbf1a7dcf, 0x12048378, 0xea06c2d3,
+    0x3be11a94, 0x0618f896, 0xd41fefe5, 0xe86cab47, 0x64f5b913, 0x62efc4cc, 0xcf90eec1, 0x729dc4a3,
+    0x4e84e824, 0x1195b3f3, 0x747f0216, 0xe45bf2e3, 0xdfe833c8, 0xfe39d32e, 0x20c77c1b, 0x772644a4,
+    0x95392c6a, 0x0ef6e127, 0xedb3ae25, 0x28d1623f, 0xfcb8b244, 0x5e209e22, 0xf157508f, 0xb280f573,
+    0xde99b92d, 0x6a913649, 0x42de1513, 0x9f6557fc, 0x260ea954, 0xa113d702, 0x75dbf334, 0x58571824,
+    0x08deddf3, 0x09cadb62, 0x147cf2ba, 0xa94ee702, 0x44b26590, 0x6e38a585, 0xeb7361cc, 0x109852dd,
+    0xc93fcb91, 0x4bf21737, 0xc20e785b, 0x445d081e, 0xe5ed0f95, 0xfa885e4d, 0xe71a5153, 0x4b9062fd,
+    0x0175dd65, 0xa76b091b, 0x70240c1f, 0x9e52498c, 0xa9bd642d, 0xec3df368, 0xe477e895, 0x2a374ad1,
+    0xa50c61a5, 0x485b6a0e, 0xdf22ff66, 0x04075b8e, 0xdc554cda, 0xca919445, 0x3a1a26da, 0x4ac319cd,
+    0x204b55e5, 0xb1616109, 0x9ce8f460, 0x945e5ea9, 0xbc29f14d, 0x97795ec1, 0x509aefae, 0x3758fe47,
+    0x87f0a4ec, 0x46fce34a, 0x786d20d8, 0xf6b0e1de, 0x1ce96fcb, 0x9c759b51, 0x74261170, 0x87b477d2,
+    0x6f333fb8, 0x6955bf54, 0x4a8edf24, 0xa5c40c04, 0x9da68ed1, 0xd4696328, 0x4ff2f01a, 0xe8fb5cb9,
+    0x2655a030, 0xd8bb0fcd, 0x699d073d, 0x7d383178, 0x10f23f5f, 0xf6c7f5b1, 0x91676da8, 0x0ecd559c,
+    0xfef2b187, 0xe3057291, 0x422e5db6, 0x6c7aeec8, 0xb36d4ddb, 0x75d9c32b, 0xd25b395f, 0x04c5e447,
+    0x46869fdc, 0xc2047215, 0x37c6b92c, 0xe039cd65, 0x01126a9a, 0x36e42fa4, 0xeb085fc5, 0x8c012e0d,
+    0x01cbe394, 0xec123c48, 0x876becb4, 0x6db85f34, 0x05865883, 0xcb3d1c52, 0x0f73e121, 0xa8f594d8,
+    0x3080d38d, 0x69a60472, 0xa4e03465, 0x624849a6, 0x6cba7be0, 0x0a2cd817, 0xa821fcf8, 0x5810fe22,
+    0xdb0f652e, 0x686f44b9, 0x06b17181, 0xb93ab1f9, 0xd4ee5b57, 0xa5dd6456, 0xc9d85a92, 0x66e2f4f1,
+    0x737c7fe4, 0x08ef1f9e, 0x413fbaba, 0xc4483b68, 0xd78c8b6a, 0xfbd6ce23, 0x652c680f, 0x50e884ae,
+    0xd5620645, 0x60da72e5, 0x7c67e2b8, 0xc1c1be45, 0xf92019a2, 0x1ddf5f95, 0xf105979c, 0xc724504c,
+    0x36113099, 0x151837b7, 0xc942eda6, 0xa9e7ffa0, 0x4b7136a1, 0xb4319d36, 0xabf07ea6, 0xa227a907,
+    0x93de477a, 0x3c6b242f, 0x4cef9fba, 0xa548e289, 0xd4001669, 0x8a08a561, 0xc98f1d96, 0xd86a56f5,
+    0x8e296b74, 0xdcbf609f, 0x355642ee, 0xffe623de, 0xf6815813, 0xa349513d, 0x72fc300b, 0x5a44074f,
+    0x4ff4e26b, 0xb0f07127, 0xa083750c, 0x7de35a8d, 0x2fda3d6d, 0x1d9db056, 0x96f6f41d, 0x28e30942,
+    0x872ecbaa, 0x5e062f33, 0xc3bfb9df, 0xb2461462, 0xc37eb738, 0x577a4a43, 0x4fa5ed83, 0x76b0ebbc,
+    0x1d76505f, 0xc94a55b3, 0x6f643ced, 0xfe662ab7, 0xe17749d0, 0x1ac0244c, 0x15daaac8, 0x0a54b970,
+    0x9a80395d, 0x6173c6f9, 0x9af90e15, 0x5cda40c6, 0xf4addb20, 0x865801c7, 0x6e68152d, 0x2b607b2a,
+    0xaeb675bc, 0xee282caf, 0xa3cacdf8, 0xdd4af4a8, 0xf1ff280d, 0x8d74ad71, 0x4990915b, 0xfdae592c,
+    0xd9b9030a, 0xdf26688c, 0x2bb8dbfa, 0x36f19fe4, 0x26e298f2, 0x53c3314b, 0x37926a6c, 0x6d7b9694,
+    0x4420a4bb, 0xc06dd362, 0xa217bde4, 0x944b91dc, 0xb4e2a29d, 0x165e3724, 0x336cb3ea, 0xb5d375e1,
+    0x097cc066, 0x6ced121e, 0x145db396, 0x82d6b6db, 0x06c4c9e1, 0xeefffa91, 0x28cf7b03, 0xde004e15,
+    0xcea9bcb7, 0xda59b634, 0x3015a217, 0x29bdb34e, 0x2b886ddd, 0xb48c9466, 0x72c58493, 0x358496ba,
+    0x440f9f46, 0xa26a4921, 0xded76e4e, 0x45a908d0, 0x5aef5e9d, 0xf009c26d, 0x2db75f64, 0x7a1c578c,
+    0x60fff842, 0x63120416, 0xb283bb8c, 0x59e4227f, 0xce4041cd, 0x1bb15c62, 0x23afcbf7, 0x52959499,
+    0x82229f83, 0x8b430b58, 0x20775c12, 0xeb0cb737, 0xc05ea3ca, 0x039f6e37, 0xcfd479f0, 0x1551455d,
+    0x7806fbb5, 0x434af259, 0x6ef2b341, 0x8b68692d, 0xd587bbad, 0xd740f973, 0xe6582e7d, 0xae49672f,
+    0x9658005d, 0x9e8781d9, 0x246cd6f7, 0x88959a78, 0xee6e42fe, 0xc6637b68, 0xa3d599e8, 0x82d2f095,
+    0x5ee83ccf, 0xfea0abb8, 0x94a5187d, 0x04de6b1b, 0x9d557c70, 0x9f9376b3, 0x928fe412, 0x664e3c44,
+    0x2fa18d81, 0xa61148e2, 0x1230c681, 0xb94cebb6, 0x3b797afa, 0x144224d1, 0xeb2fbf29, 0x1f3e543b,
+    0x391f4ca4, 0x759b5424, 0xf807670c, 0xec207702, 0x0b77ca93, 0xd5fb3d74, 0x5cdbecd0, 0xe7917460,
+    0x70d8cc6d, 0xd0fb0429, 0x34bd276c, 0x990560b3, 0x3886296e, 0x20086bda, 0xb6aec949, 0xa24cea3b,
+    0x257820c5, 0x7b32b85a, 0xeaedf6ec, 0x0c232b93, 0x81c803dd, 0x57b7fb8d, 0x5cec5149, 0x7a6088e0,
+    0x2135415b, 0x755c987c, 0xfab777c2, 0xcbd405c7, 0xb4b93f07, 0x934473f1, 0x7da9caab, 0xfb16b828,
+    0x7975b5c0, 0x400567de, 0x6abe0ce4, 0x4ad7e789, 0xa9b0b64f, 0x0040c35c, 0x4c403961, 0xd4759059,
+    0xf5d6bd37, 0xc37ed22f, 0x51763aad, 0x5f991062, 0x8e148bc6, 0x57c9ba76, 0x9a44ae16, 0x492d3805,
+    0x5ab001f8, 0xf2dee19f, 0xfdef37e0, 0x23785c0e, 0xa0e707e8, 0xbf868a38, 0xeb90e6db, 0x48282587,
+    0x2f103c6f, 0xcf7289e0, 0xa13eee37, 0x48b44c78, 0x87508009, 0x58b358fd, 0xaaac0a70, 0x92557d7a,
+    0xc2953503, 0x3b78dd96, 0x521bab76, 0x06307932, 0x0c8c686a, 0x495697bb, 0xe0778c39, 0xad3f82ef,
+    0x806e1e40, 0xb3c11dc2, 0x5ffd9842, 0x3fda8b96, 0xcaa9d352, 0x6a1840e3, 0x6c5a2c37, 0x03276b03,
+    0x526afb5f, 0xde5c365d, 0xb363c04f, 0xef8ec766, 0x8a27c96a, 0xf2a57c05, 0x3bb99d13, 0xb5e084df,
+    0xf9ebc229, 0xa51b2fd8, 0xba835a3f, 0x41933214, 0x7367eab9, 0x6d272d67, 0xd214bf4b, 0x3723a602,
+    0x93702674, 0xdeab7e9c, 0xa44a6ca1, 0x02f888bc, 0x276e34e1, 0x5e0e8eba, 0x327597e1, 0xe05e022b,
+    0xc47c6c34, 0xbd39b8df, 0x45bb6d5d, 0xbc6b75b5, 0xdcf782cf, 0x8d0aae2d, 0x8854586b, 0x8d2b9c16,
+    0xd373554e, 0x26f8befc, 0xa9a5a7b6, 0x6d904318, 0xba0f153e, 0xe53e842b, 0x1a154d6f, 0x10c5c62f,
+    0x4131ec5f, 0x49ed1c6b, 0xdbf9b915, 0xe875353b, 0x566ef8d4, 0x238c27d3, 0xac1b418e, 0x353158b5,
+    0xecc33400, 0x248bcb1a, 0x12cbda07, 0x7b5bb16d, 0xfb34ee24, 0x7dd02146, 0xb60efe6f, 0xd4d35714,
+    0x9f77fa29, 0x047af64f, 0x6be022aa, 0xf6913bcf, 0x4a5035eb, 0x2b86019c, 0xca2659c6, 0x3e2e117d,
+    0xa0e85465, 0xeae5ac60, 0x535d1c69, 0x9f8c9f21, 0x8573a05f, 0xe1f24093, 0x53ae31c7, 0x74b830ad,
+    0xa8e77915, 0xf20e6cb1, 0x78689260, 0x184be906, 0xbb4d3992, 0xe1b5fbb0, 0x1e50a554, 0x35ad022b,
+    0x8070053e, 0xfe8d01dc, 0x01bd3e58, 0x49a021ff, 0xac372991, 0x7f9e749e, 0x53587bcd, 0x7644cad0,
+    0x1cd73344, 0xed00ea81, 0xaa83aeda, 0x11a98034, 0xae6986e0, 0x71bc35cb, 0x0af4ab94, 0x360623c6,
+    0x543154b6, 0x1acc8ae6, 0x071d327f, 0xea1be70d, 0x99807df8, 0xb9aa84ff, 0xc6b11489, 0xbb9b0a79,
+    0x3d6b2d5c, 0xe3125857, 0xdc6a8192, 0x43e16f74, 0x9627b1ca, 0xff5489ae, 0xe0e49b6c, 0xe091e285,
+    0x56d078e1, 0xa56dcb05, 0xd0804862, 0x6eb9a727, 0x29aea2b1, 0xddfc7499, 0xbfc6a711, 0xc6b12d2e,
+    0xdf321644, 0x2bed980f, 0xce7b86dd, 0x2e7e9c80, 0x952741c2, 0x5fa30e5a, 0x15758c4c, 0x7f8dcf3a,
+    0x9cf88d6b, 0x8c0de6f5, 0xa5ca03cb, 0x0b8ea586, 0x32b9bae2, 0x594c6b4e, 0xca4caedb, 0xef21159c,
+    0x8b86c302, 0xc50afb83, 0xed5ed5d4, 0x4874e31b, 0x01311452, 0x88e43512, 0x2d408b95, 0xccfd2e77,
+    0xcc0f21d2, 0xcf14cd65, 0x26b9277f, 0x0ee3f553, 0x357ffb63, 0x789aefc8, 0x67c48abf, 0x7eff67e8,
+    0xae48d781, 0xdefd136c, 0x2a1927cc, 0xd7b68d31, 0xea7435dd, 0xafc1fa33, 0xd605f46b, 0x367eea84,
+    0xfa7cb641, 0x02342381, 0x46836172, 0xc654826a, 0x1e80a0cb, 0xe3abcef2, 0x49107f42, 0x64c94728,
+    0xbba6e513, 0x3089477a, 0x0ce69420, 0xd9b766d9, 0x6261a716, 0x8bec55ba, 0xbd44cc63, 0x59b6b7b5,
+    0x2efa52fe, 0xc8080039, 0xbb4635f4, 0x847d8de8, 0xf1b7ee30, 0x1faa9fe8, 0x20513896, 0x82c93a4f,
+    0xe5c0a427, 0x604a3e53, 0xd555cbf7, 0xf21b367c, 0xdb9ffd74, 0xcb0dd607, 0xbb8a926a, 0x88eb25f1,
+    0x414b31d6, 0x433d3758, 0x722c9b4d, 0x602aa228, 0xcb63082a, 0x432bc201, 0xcc77b349, 0x34c4452d,
+    0x3ef77d5e, 0xb8d8af7c, 0x66ab9ae9, 0x334c4e01, 0xc5ea8550, 0xdcdb0fd1, 0x2c84b557, 0x0915f66f,
+    0xae40e6ca, 0xc217192b, 0xba4d776e, 0x8a0dab50, 0x94af3bb7, 0x5df87925, 0xef6bc477, 0x65159a58,
+    0xc14f11ca, 0x91be6d73, 0xc704ace1, 0x136ed29f, 0x758db926, 0xa025ae8d, 0x37da1a85, 0xea831f4c,
+    0x264cfd50, 0xcf85c141, 0xa7f92ee8, 0x4788ddc2, 0xf5003232, 0x38cbf1f8, 0xcbf83544, 0x92d1b6af,
+    0x6c432182, 0x58b31f3a, 0xdd90858b, 0x1d382c0e, 0x37698cbc, 0x92d93132, 0x1ddc6830, 0x1da3f255,
+    0xf786a910, 0x17f0aefe, 0x79f4361e, 0xe09ed728, 0xe132e398, 0xc83ee015, 0x95ddb5d7, 0x17d771fd,
+    0x03ab93a9, 0x025b9885, 0x1cbc4f78, 0x0e7d0b40, 0x46c56bd2, 0x391ce82c, 0x409c474a, 0x06fa60a9,
+    0xf1b89ed1, 0x409b359c, 0x079811ba, 0xbd58ee5a, 0xb85e9ef4, 0xdb015bfb, 0x5ef79de5, 0x117e0375,
+    0xb9127dc1, 0x79ff1cae, 0x4951f319, 0xf61d5c38, 0x1afd10fa, 0x11fc683f, 0x13c852ba, 0x9b4f68af,
+    0x5a1a050a, 0x6d577505, 0x71ae6705, 0x3f4939a0, 0xa83567ee, 0x5196d24e, 0xc0711eaf, 0x06c4c5e0,
+    0xce9d4789, 0x9faec12b, 0xa96f3de9, 0x91b05240, 0xcd721b02, 0x569c638b, 0xcf92e228, 0x9206ee1c,
+    0x2fd95889, 0x12729f87, 0xc4c833ed, 0xfd0de98a, 0x10f7b989, 0xbe69c0dc, 0x6585f636, 0x332f6a8a,
+    0x178e2398, 0x8abade3e, 0xa821f36a, 0x2195021c, 0xddc49c4d, 0x0558d0a1, 0xfe73d06d, 0xc2940892,
+    0x80ef3dcb, 0xa0bcdcf5, 0xd6b2044e, 0xe88c422d, 0x91c2d42f, 0x7fe75aba, 0xc7b596c3, 0xaa42b7ea,
+    0xfcd465a0, 0x6b7e21b4, 0x8f1ef347, 0x5824bc8e, 0x0c097fbd, 0xe170e684, 0xb80cf91f, 0x2bf60d31,
+    0x62f28dc1, 0xc89a356d, 0xa740859d, 0xf46e25f9, 0x46ebc9a5, 0xf7377462, 0x8421eefb, 0xa85117fb,
+    0x14305516, 0xdf4ba98b, 0x835a2922, 0xd3f956bb, 0x3c1bbe5a, 0x8c64ed62, 0xeb2860f4, 0x90a8cdb0,
+    0x775333f7, 0x93e82ee2, 0xcd86dd19, 0xfa351089, 0x1c797c62, 0x51dac2fd, 0xac0a68d3, 0x968463eb,
+    0x01e3f4ab, 0xbbfb2ca4, 0x93f28f3c, 0x6b7a5b4b, 0xb3c6564d, 0xcc4783be, 0xed04349b, 0xdd2c50c5,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000651851512427035\
+                          54760590262029100101153646988597309960020356494379340201592426774597868716032 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91,
+    0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf461, 0xe98be66b, 0xc08588aa,
+    0x00000000,
+    0xb68a485f, 0x8b010271, 0x53aa2924, 0xfaa120a1, 0x32e38d82, 0xb770b44a, 0x75eaf393, 0x97b6d7a6,
+    0xb19323fa, 0xbf1e081b, 0x5c700a49, 0xe9714c73, 0x492a5178, 0x05dfacb4, 0x527ce894, 0xe2435f9a,
+    0x0c180755, 0x2422eec4, 0xfec36a33, 0xa8898036, 0x6ef0c248, 0x6f75c9b8, 0x5a464fd7, 0x019a1bd4,
+    0x2a34a092, 0x33281911, 0x840d1b04, 0xbffa94af, 0x1005b28e, 0x151d39b0, 0xdd357117, 0x1019d275,
+    0xa2f4595b, 0x1a0ceca5, 0x10aaab4a, 0x84b9e653, 0x188cac5e, 0x1d8c6253, 0x38b8f8d1, 0x0e3c2cd2,
+    0x86b27bcc, 0xe0abc845, 0xf4fcead7, 0x79eac573, 0xf1503608, 0xd8c24427, 0x61624623, 0x208796a5,
+    0xea92f80f, 0x3c047364, 0x2e107ee1, 0x1b3e5039, 0x83a79766, 0x4a3d9064, 0x6b3090de, 0x73ad712a,
+    0xe56a5fa2, 0x1091781e, 0x14c75267, 0x244f829f, 0x00e91165, 0xc06840a3, 0x8437050e, 0x3b97a0b4,
+    0x79c7a324, 0x622029a3, 0xd540cc1f, 0x491ff662, 0x7761ccaa, 0x1fc9dae1, 0xe3b01c59, 0x47abfdab,
+    0x07a7de7c, 0x2258d909, 0xa0d37d00, 0x3036e4ab, 0x233aee27, 0x83fb63ca, 0x7354c7fb, 0x22fa963f,
+    0x981130a6, 0x0aa9b9f9, 0x71a49723, 0xc85dec86, 0x05894b61, 0x61efd577, 0x0a6006b5, 0xb401198f,
+    0x94d7c491, 0x574b3fce, 0xf6d79852, 0x39d62e6e, 0x7c6bb4d4, 0x7fdae1bb, 0x34d8ac69, 0x40c8224f,
+    0xb912400c, 0xaf97fae0, 0x90204ad8, 0xcd64223a, 0xc102bf80, 0xf666068b, 0xb3e33ee5, 0xff3cdae2,
+    0xdc6f8715, 0x17cd14ea, 0x3f5b23e9, 0x977ac2f4, 0x4153138c, 0x76598c31, 0x60bf539c, 0x4c6d77a6,
+    0x153bfc63, 0xc38f42f5, 0x1d96dad5, 0xe872adc4, 0xf4e60aa2, 0x2a4e7588, 0xeee8f53e, 0x7cf367c0,
+    0xdac1943a, 0x18b09a56, 0xb364ac69, 0x3b85f22b, 0x902a72a8, 0x6576acca, 0xd964577c, 0x26ba9150,
+    0x2170d3a4, 0x57bf94d6, 0x05efc655, 0xb650987c, 0xf011e327, 0xf4472110, 0xb8e79842, 0x8e38c3fa,
+    0x93b642f0, 0x44bc1e0f, 0x7a8d8a53, 0x8b27e870, 0x97b959d9, 0x58e2c2cf, 0x0d6937c2, 0xd5c4543a,
+    0x04a3a5cd, 0xb837056a, 0xbe94ff8c, 0x3ea4eee3, 0xfb6c2c1d, 0xaa96755f, 0x5c72c603, 0x04a739f7,
+    0xf13012a6, 0x22dd01f1, 0xd05e8eb7, 0x2611074f, 0xfb7c26bb, 0x569de954, 0x822535e5, 0x4d137cfb,
+    0x97e1d609, 0x38532e12, 0x2c28f223, 0x201c8edd, 0x1fdf826c, 0xbb600ae2, 0x9cdf01bc, 0x3612737e,
+    0x845c029b, 0x806b1e03, 0x337f72df, 0x1db223c4, 0x5a04fc7c, 0x3c0c8015, 0xb78e3b41, 0x7b628a94,
+    0x119a653d, 0x0e85e81a, 0xac3236a1, 0x852958e1, 0xa0185572, 0x806f23ef, 0xaa84ed16, 0x8603227a,
+    0x8c710bc2, 0x204046ac, 0xf5d37eba, 0x7ffdc479, 0x9eb91c44, 0xb41142b3, 0x15af3183, 0xff067e18,
+    0x7c18737b, 0x15a3f7d4, 0x8d5b0182, 0xe308634d, 0xd1e213ac, 0x75b56768, 0x2149e195, 0x886f55b5,
+    0xc5317d7d, 0xcf2006fd, 0x74c327bf, 0x6eb78c73, 0x9b256b59, 0xf466bd10, 0xb1f748fc, 0x5ffe1001,
+    0x6354f9e9, 0xa6474bfd, 0x3ca4c6fd, 0xc49b02db, 0x639aeaac, 0x519628b7, 0x91554734, 0x2fa61a45,
+    0x09d0d5ff, 0x54df4b6f, 0xe894a57a, 0x7273f828, 0x6b101a45, 0xeb30f13f, 0x80c192af, 0x625b9a24,
+    0x4b2e291f, 0x35f52540, 0x1fbef837, 0xaa2bbef2, 0x33cf97c5, 0xa836eb10, 0x75966724, 0xd837356c,
+    0x0afa7b31, 0x0b3b9520, 0x1b0f7d62, 0xbd324554, 0x31c978f6, 0xa38cac3c, 0xb3f97856, 0x7a5c43fd,
+    0x011a795b, 0xffe9b791, 0x5b9df3fc, 0xacf28668, 0x066e92e8, 0x9d5b288a, 0x7e7377fe, 0x34cd0348,
+    0x99a6e3a8, 0xaea941f1, 0x77727c69, 0xc5f851db, 0x99ba8eec, 0xcb3a4909, 0xf63024d8, 0xe29f55a7,
+    0x71f24429, 0xee323201, 0xceb9dc0b, 0x34d2ca71, 0x2dd6aad9, 0xd2a590ce, 0x3e6e0cee, 0x5635c5d1,
+    0x970c7265, 0xd9e71778, 0xa4639cfa, 0x30aa1846, 0x6e417939, 0x9e85536b, 0x530fd48f, 0x2e0d3545,
+    0x1ab30b3e, 0x6ca2409c, 0xd3f7a471, 0x4dae138d, 0x094e9311, 0xeff7cfa1, 0x0a5c1512, 0x16ee97d2,
+    0x9a356615, 0x44047875, 0x1ba73277, 0xf58c4e6b, 0x243c1e3d, 0x0573ea23, 0x1e647e2f, 0xef0ec5df,
+    0xcf9f5d0e, 0x23fa87ad, 0x6968b6f8, 0x4ae7d8d6, 0xf613bedd, 0x6ae13f25, 0x5f1bd884, 0x822357c9,
+    0xa7be7ca7, 0x3901f618, 0x4c327373, 0xdf0ee2a5, 0x40ef0459, 0xcbc1fbbe, 0x67984b22, 0xb34037bd,
+    0xb0e0abf1, 0xedec1c57, 0xd8578f42, 0xa4e62d88, 0x88df997e, 0xd5223ac4, 0x908abc22, 0xacc1c68e,
+    0xd466a051, 0x2a14157d, 0x8625722c, 0x581a2dd6, 0x6edcbe10, 0xb100154f, 0x67e6c844, 0xa1d49674,
+    0x5cd4093f, 0xf5f7993d, 0x8a5ffa8a, 0x551bb609, 0xbd9bada2, 0x73d05df7, 0x046f0aa9, 0x7616e9a6,
+    0x131329a2, 0x0cb1d6e0, 0x923df996, 0x61b5af8d, 0x6f53ed87, 0xd69d2870, 0x079ba221, 0x2fd80d3f,
+    0xbe467d9e, 0x742df893, 0x8cd26e02, 0xe35ea648, 0xf5f47930, 0xf9cfa183, 0x9bd4792c, 0x6a75a96e,
+    0x8bca3f31, 0xe3992e1e, 0x4299976e, 0x128dd0bd, 0x329c976d, 0xd567d2c9, 0xeb9cbc90, 0xddfe84aa,
+    0x77133d79, 0x892fd25e, 0x7fad03a1, 0x92cb5bd4, 0x1aa3e183, 0x97f6a1fd, 0x94a36466, 0x5d4f82d9,
+    0x53307951, 0x5c01b355, 0x964b7570, 0xa331e38a, 0x4cf51234, 0x6b38f715, 0x88f8e95e, 0x0d53e91d,
+    0xfd85f0ae, 0xc4f4b29a, 0xb3d84199, 0x5a105d60, 0xdbd44f1d, 0x327f55b3, 0x690a8fd0, 0x0a08158d,
+    0x6619e4bf, 0x694be09f, 0xb1ed5d07, 0x42a1046f, 0x517dd219, 0x05681ef7, 0x771f3abf, 0x0667f31a,
+    0x8c643317, 0x0a5a3f3b, 0xc0608db1, 0x01ee18cd, 0x8e75c60e, 0x9bb0b656, 0x1d904b2d, 0x1b4fe701,
+    0xc1eefc96, 0x4c729f6b, 0xa2c115ba, 0x97d61c70, 0x9cd847ba, 0x424c6c03, 0xbc09c4c2, 0xd8d696e0,
+    0x902d60a9, 0xf11a2ebc, 0xbe3a108c, 0x2451517f, 0xa2612657, 0xddd55671, 0x1a447ca5, 0xb1c4c67b,
+    0x8a4c7052, 0x768e397f, 0x052242ba, 0x5b171877, 0xb834ce93, 0x1585e0f7, 0x2219aa8e, 0x48a68051,
+    0x1a11532f, 0x39147778, 0xbe82ebfc, 0xe94b622c, 0xd34a2518, 0x19ed7d60, 0x381d1518, 0x63997e45,
+    0x727cd471, 0xe5cf0210, 0xea48bf56, 0x10d967ef, 0x862a2baf, 0xafc332bb, 0x2a614343, 0xaf807e9d,
+    0x557b8ae6, 0x3512d528, 0x0d822931, 0xa9847678, 0x48c87a5d, 0x20fad611, 0xb2523547, 0x822d565e,
+    0xff3c1eb6, 0x3269d7c9, 0xbd9f763a, 0x04b4d4d9, 0x6a851b85, 0xe1ffa105, 0x73e2fbce, 0xacf67960,
+    0xbffae956, 0x096d3446, 0xe30dde7c, 0x4838634d, 0x1ca37750, 0x7347bf6a, 0x58f24a28, 0x0c41e795,
+    0x8858860e, 0x6ddb7d79, 0xe96e1639, 0x61b8063c, 0xfef428e8, 0x2c4adb6e, 0xa3bd21fd, 0xfd65bbf8,
+    0x7f3acc0b, 0xc6a2dcd2, 0x89bd1f3c, 0xce2fafc2, 0x408ffb06, 0x89eaf23d, 0xe38f5a27, 0xab22be84,
+    0xcfa1b11b, 0xe99f3ef4, 0xa89dbfef, 0xdc9adbc1, 0x30865932, 0x8e1d1e69, 0x9bf88b48, 0x865e478b,
+    0xbca2a958, 0xd036150f, 0x526b8a48, 0xbb69214b, 0x4d7a8d04, 0xd6363caf, 0x122c4c8e, 0x70b65a54,
+    0x990ead43, 0x81f9e972, 0x89fb3da8, 0x80d6e7cd, 0x4cc50866, 0x24b28bc0, 0x633a6d34, 0x2a5d2911,
+    0xe73195ec, 0x849849e5, 0xaf8bebeb, 0x74e4237f, 0x8f5347e2, 0x360d070d, 0x5a0e8581, 0xdb630169,
+    0x710b9959, 0x1c0d9363, 0x67a6c83d, 0x22f04ef7, 0xdad0d207, 0xaa871222, 0x58651c91, 0x2a5c8401,
+    0x2a49b1b7, 0xbd050a1c, 0xb81561df, 0xedcf3a60, 0x58605982, 0xd1f25d24, 0x2e094b42, 0xfced77f4,
+    0x37fdd8f2, 0x2bf05ce5, 0x33ee691e, 0x3b97e2e7, 0x4fa02f09, 0x4f34768d, 0x2f1fb915, 0xa0099fb8,
+    0xffa22334, 0x60fd8480, 0xbd946574, 0xcc122c93, 0xd1dbfb9f, 0x3decc902, 0x5a843ead, 0x99417cf1,
+    0xacd3008d, 0x9805f3a5, 0x31a01548, 0x0d6591ba, 0x756d0cf4, 0x0e82a4a1, 0x93b8d683, 0x9de39250,
+    0x1611de6d, 0x17dd1a2b, 0x91aa135d, 0x47f23c35, 0x77121320, 0xaa73456d, 0x7096689d, 0x629cff20,
+    0x9897941b, 0x2475c976, 0xf23f1341, 0x82a0d83b, 0x3c966035, 0x96fed9ea, 0xb1d4472d, 0xc5fa75ea,
+    0xbd20c0a8, 0x47dfc9af, 0xbf21ac93, 0x7a4a9ce3, 0xa50b3a50, 0x94bc1a25, 0x485bf383, 0x975d716d,
+    0x22f58039, 0xbcb2fce3, 0x107b1164, 0x567064a8, 0x7a89d47e, 0x14a57fb2, 0xc0e6ff79, 0xbe278088,
+    0x82ae8acc, 0x068c9aaa, 0x39db40a0, 0xeb3f25c9, 0x5df8caa8, 0x03d92da2, 0x44b7c887, 0x7a76d7f8,
+    0xcdcd264e, 0x20c09ef8, 0x8239831b, 0x2be2a743, 0x87497564, 0x25b0a42f, 0x9fef3d60, 0x5cae95b3,
+    0xfdcf41dc, 0x6ed50aa2, 0x1cb22093, 0x86658290, 0x53db62bd, 0xbe87be4e, 0xccb76b42, 0xece53173,
+    0x053269e8, 0xec4fb95d, 0xe76c4a8c, 0x244a82ad, 0x4f254584, 0xdc3ba9cf, 0x55dd31b1, 0xd53af780,
+    0x07b66142, 0xa4e12106, 0xf624e34f, 0xdf125041, 0x7ac95d0f, 0xb93a09f8, 0x0fc59dd2, 0xd3244841,
+    0xc605c680, 0x53ad115b, 0x7c2ad65b, 0xeb76be29, 0x14e04c3d, 0x2379f726, 0x5c8afde9, 0x31c1f683,
+    0x5d17063a, 0xc21ba0b7, 0x9044a813, 0x97102fe3, 0x7506313c, 0xd893d9a8, 0x89730b22, 0xef4f6c78,
+    0x54add077, 0xcd5a66a2, 0x20e200f4, 0x144b63bf, 0xb4dcae6c, 0xca093a1c, 0x30252843, 0x0b4757b1,
+    0x3ed1a272, 0xab648e14, 0xc8109559, 0x685a7e5b, 0x77f0c24f, 0xc552004d, 0x5a79cfc3, 0x45a02ae3,
+    0x5c6f79b4, 0xa83f90a1, 0x1255120a, 0x1a58c824, 0x9c9e46b3, 0x683c7d82, 0x58053723, 0xaef56843,
+    0xdb3d84a8, 0x3a6ff686, 0xf9a64099, 0xb3346aee, 0xe44557cc, 0xae0cf3ca, 0xcf5d3373, 0x859e9b29,
+    0xb2f9f226, 0x9df4726b, 0x84e81f0d, 0x7d62ff57, 0x4a7b656b, 0x6d0777c6, 0x8e4da09d, 0xdac63a0c,
+    0x68895b92, 0xb96f38ff, 0x12b77f0a, 0x96f07ebc, 0xacc82553, 0xff199ff6, 0x4bcdb384, 0xd154103e,
+    0xd570dda9, 0x87f7042d, 0x4d0fac21, 0x75f664ad, 0x338f6041, 0x17fc1dd5, 0x22bd7e2c, 0xf2b43216,
+    0xbbea1bcb, 0xe7a6d571, 0x4bdde28a, 0x16144df2, 0x7d556b33, 0xa65c66d8, 0x06c19dc9, 0x97e6c611,
+    0x59bb13eb, 0x1c14c60e, 0xbca7f0e6, 0xa34f0175, 0xc000edb8, 0x5e51daf9, 0x977fe56b, 0xa2351ffa,
+    0xe213e786, 0x58d80b43, 0x53c93600, 0xa4378eb0, 0x71e5ff92, 0x13a48af5, 0x41af4953, 0x14840a72,
+    0x8e719f05, 0xf30a76e0, 0x00a65844, 0x22ec9c42, 0xa7c02fd6, 0x7b9d7bed, 0x74749824, 0x01d440ce,
+    0xa78dc337, 0xcbc40998, 0x98fd2571, 0x441b8ffd, 0xa9741545, 0xcbbf52a8, 0x328a0736, 0x60e278a0,
+    0xb9ed42e4, 0xef87d511, 0x7664bddc, 0xc02827cc, 0x940aed30, 0xaabff6c4, 0x65ad471b, 0x13891352,
+    0xc1aba3bf, 0xf82c5625, 0x45f9a358, 0xe319de43, 0x283be9c3, 0x8584280f, 0x33a72225, 0xa0e93583,
+    0xad71fdac, 0x31d772a7, 0x8ddfd3e1, 0x7b3315c7, 0x2b632304, 0x0f99cee0, 0xb8eb6350, 0x39d287d3,
+    0xafcc8fe8, 0xfc2506d9, 0xd255d20e, 0x870fd19d, 0x1ae5d157, 0x02fb1abb, 0xd884930d, 0x39e885d2,
+    0x66594362, 0xde31cc59, 0x9160c9c2, 0x419551eb, 0x5c2d8feb, 0x2989623e, 0x86db3526, 0x82b6c0b5,
+    0xd450bc61, 0xdc521900, 0x679cf669, 0x1912dd3c, 0x59b44d3d, 0xa6dc1f48, 0xe4f23b96, 0x08808c06,
+    0xf8a02776, 0x6a6424a6, 0x6ac2f56f, 0xd778872d, 0x9cfc586c, 0xf2e31252, 0x75d6f24c, 0x3516e038,
+    0x0a793434, 0x5ade5352, 0x56e49659, 0x388843e7, 0xc9dccdcf, 0xc8d24967, 0xbf2e99cf, 0x2260f523,
+    0xfce7cb87, 0xa939dee0, 0xf804db44, 0x897e01dc, 0x85caf7ff, 0x742e1a19, 0xd5fd9982, 0xdd5f3650,
+    0x85f28cec, 0x28fe2c44, 0xff6c5be6, 0x544ed000, 0xab63a3a2, 0x87c1fa0f, 0x1036f556, 0x45c38626,
+    0x385cfb2e, 0x21e17ab4, 0x94a424ce, 0x799e7bf3, 0xacb2367c, 0x18177bcb, 0xb4eca8bd, 0x109397ef,
+    0xf535a756, 0xdcdeac8d, 0xdebb10f2, 0xd3b4b97a, 0x21960b12, 0xcb2eaa82, 0x82a91ba8, 0x4a131a60,
+    0xc1815592, 0xeb08edaa, 0xe9e1de65, 0xaf1e3788, 0x363cd6cf, 0x24aaa184, 0xf3138a60, 0x8f735f73,
+    0x54aebc1c, 0xe8bb38bf, 0xf7bff88b, 0xe56bcfdd, 0x24d8944c, 0x15380e1a, 0x3f532d69, 0x8fd07f92,
+    0xca3ae0fa, 0xe6c2486f, 0x99e72166, 0xc6d29b19, 0xbbf23352, 0x4e504dc9, 0xdc6e536a, 0x8a2df3b6,
+    0xebfac9cc, 0xc48c1b9a, 0x40b7bc3a, 0xf4cf9110, 0xa244f8de, 0x02fab992, 0x3119f027, 0x710a6ef9,
+    0x34b7adf6, 0xde3e15e9, 0xad7a9383, 0x0516ca05, 0x09b7f490, 0x74413952, 0xa87eb944, 0x0359bbe2,
+    0x456169de, 0x8e990226, 0x396e172a, 0x7f79948c, 0x8c607f59, 0xa644d2e1, 0x93aeaf5a, 0xfabf7bf5,
+    0xbc6b4b69, 0x27cede72, 0x14c81ef1, 0x1e7d1d60, 0x1c539fe6, 0x77010db0, 0xc643f6f6, 0xf9838152,
+    0xfc45e928, 0x69e42eae, 0x20a65204, 0x1c92abe6, 0xc252b94f, 0x6ad66af8, 0x96bfff0d, 0xc71aeb52,
+    0xb2da9a6f, 0x58a2177d, 0xe62e216e, 0x0318e374, 0x56f0ff8d, 0x29c8774e, 0xcc66e15b, 0xa23a75b1,
+    0x0d8590a3, 0xb38f4a55, 0xe8e7e619, 0x2cc47ce7, 0x42877305, 0x7cf69bb1, 0xd09577c1, 0x1c4ed2ff,
+    0xe4a43711, 0x5d0680b9, 0x49c1d3da, 0xf6e99984, 0x0c8b1107, 0xd606a84a, 0xc2bc0fc6, 0xb8ce3785,
+    0x2073513f, 0xb95241e2, 0xe1e28b60, 0x463fe334, 0x968848a9, 0x322096d2, 0x65f08945, 0xb7c0e35e,
+    0x5bde98f0, 0x4753d9dd, 0xe74158ed, 0x0833febb, 0x79c1be48, 0x4b8ba70c, 0x353300c1, 0xf5563602,
+    0x03870d78, 0x91a341d6, 0xbedd65ac, 0xad8cf8d7, 0x4e831eb0, 0x3cfc74a5, 0x2af623bb, 0x52912b25,
+    0x6ef98089, 0x931d15fe, 0xb14ad8fc, 0xbd77c972, 0xedac63fa, 0x0491cd96, 0xbea00c92, 0x3e84c4d1,
+    0x39f48ebc, 0xebf2f38e, 0x0d286815, 0xaf662d3f, 0x4c4f8824, 0x79ce546b, 0xfd2516db, 0x757ddaaa,
+    0xf4b0912f, 0x012311d9, 0x5d33502c, 0x8bc27914, 0xeae578cd, 0x35ac970b, 0x77d46ecb, 0xd94cb1bf,
+    0x05611053, 0x45ce84b9, 0x97a3b11c, 0xe5ceed4f, 0x24818b2a, 0x1a65ae82, 0x479a40d7, 0x3c3e0a1a,
+    0xef186696, 0x46b3dfdc, 0xf8b9730e, 0x20c079fc, 0x26c22499, 0x534f7bd0, 0xb5d3e8c5, 0xe5597487,
+    0xfd0efccd, 0x4000bc37, 0xe4acc4bd, 0x137e01a1, 0xa3d9dbb7, 0x4cc3ff3e, 0x71cf9341, 0xc40b6b7f,
+    0x03c01a44, 0xae0ae973, 0x0f6a8922, 0x93fee073, 0x1d511c30, 0x45ac2244, 0xd0e5fd7f, 0x6cacd5ad,
+    0x15b90b46, 0x18686a84, 0xd905c956, 0x3de44440, 0xbc1fc7f4, 0xc9cb8715, 0x241296b5, 0x1b7b75ee,
+    0xdb424b9a, 0xc45ace02, 0xce0bf6f1, 0x0d6c70a8, 0x81026bea, 0x32da023f, 0xe62a542a, 0x2608954e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000325925756213517\
+                          77380295131014550050576823494298654980010178247189670100796213387298934358016 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8,
+    0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa30, 0xf4c5f335, 0xe042c454,
+    0x00000000,
+    0xd82c007a, 0xe4016c6b, 0xd1e144a0, 0xc00817c8, 0x419fe3e4, 0x62cd838d, 0xa48ad45c, 0x7ea708ff,
+    0x10f70c55, 0xa4aa4731, 0x5f47b459, 0xf164ef49, 0xf3977de8, 0xf02ff4a3, 0x129a8c2d, 0xc287c33e,
+    0x37d623b2, 0x52b21eb8, 0x72e0fe4f, 0xd9ae7c68, 0x3e8a5713, 0xcfaffc02, 0x4de012f0, 0xa4288a5b,
+    0xf4249c3c, 0x87bef06c, 0x4b9ab50d, 0xe0733d5f, 0x108c0747, 0x480f6aa8, 0x5a33b5c2, 0x7d85d7a8,
+    0x1f8f5066, 0xfab1cbcd, 0x661b2738, 0x40671c29, 0xcce49477, 0x6caed1d3, 0xbd413ec8, 0x6fc12dd2,
+    0x9d9ecf95, 0xf0a40275, 0xf82a9851, 0x9254cf70, 0x154043e2, 0x17adb589, 0xa8fcb135, 0xcd17139a,
+    0xe3b9f121, 0x3e283cc3, 0xba97af10, 0x8c060a01, 0xf974ed09, 0x7f51bfe1, 0xb5cf3d92, 0x5f455e28,
+    0xe33c13e7, 0xd729041b, 0x08fca112, 0x2d8e8f5e, 0xbf016cbb, 0xc6f5d9de, 0x92b3b727, 0xb3c0e1c5,
+    0xddd3580c, 0x093630f9, 0xaa0dd6f1, 0xf86aa750, 0x6a873886, 0x3a4a23d4, 0x1bf46a67, 0xbe7fb532,
+    0xac4faed2, 0xbf171404, 0xbfc3f9f1, 0x37ae6aec, 0x658e18da, 0xf765c7af, 0x363c2b28, 0xf76e3326,
+    0xf7e025b1, 0xb43084c0, 0x4b21215f, 0xf38b02b0, 0x607d9e23, 0x6183fc8b, 0xa08997a7, 0x3256e190,
+    0x458d7cb4, 0xadaf0cfc, 0xb60ccb03, 0x9a6743a1, 0xfc982e4c, 0x5543fb51, 0xef1b501b, 0xde365273,
+    0xaa292525, 0xafe4f4f6, 0x6be1cf6e, 0x78cd535e, 0x2019850e, 0xe1d13e10, 0xfb6d7654, 0xc75a7138,
+    0xcbaa5472, 0x836a11f5, 0x30abf46b, 0xf26bf9ac, 0xd65b3a25, 0x5bb51138, 0x95cbd965, 0x9086b471,
+    0x429013d7, 0x451c4ef4, 0x324968c0, 0xc86655e4, 0x1cd56c0c, 0x38ad4676, 0x6af84d57, 0x3b2e91a2,
+    0x2ad61ba8, 0x63cc841d, 0xe4af705f, 0x92bf7c9f, 0xc25d5778, 0xd1d0b7b3, 0x419ba919, 0x17530704,
+    0x575e0ede, 0x8740b52d, 0x89f1d455, 0x5aaf408e, 0x71d444cb, 0x787010b7, 0x871c413b, 0xe58a508d,
+    0xcb053218, 0xccba0aa0, 0x5eecc9c3, 0xa20de99c, 0xfdc94291, 0xbbcc08ec, 0x51c34df5, 0xe33e8f88,
+    0x450359bc, 0xba3ee4ed, 0x14433b8f, 0xba0d748c, 0xee3ca52c, 0xf5b9362f, 0x085cead7, 0x030a4983,
+    0xcb666ba6, 0x00536c49, 0xbd34523d, 0x6237884a, 0x8c0c80b9, 0xa65f5f92, 0xdf0ac7f6, 0x8195bc90,
+    0x476ccda4, 0xdd925682, 0x7e980e54, 0x7415d98e, 0xb7dfa975, 0xf05199fa, 0xc3df0b7e, 0x5911edd9,
+    0x73f79ca1, 0xb39399e3, 0x325bc1a0, 0x483d0c65, 0x79e2e1ee, 0xb7b523fd, 0xfc18423f, 0x9ec931c8,
+    0xac7210f5, 0xbf830490, 0xbb7af480, 0x7c67b038, 0x1d336029, 0x9c7473ea, 0x7e0da34d, 0xc6e55fff,
+    0x0bbe9b85, 0x0ae02ce0, 0x11e7d9b3, 0x582086ed, 0x926ebe24, 0x8cd51398, 0x100b4bf7, 0x2d2a5984,
+    0x11be4702, 0xfc9939dd, 0x9ffbcfe5, 0x12612589, 0xfde359d4, 0xe985c131, 0xc2ea4b6e, 0xf50938e3,
+    0xa0c68261, 0x38fd8005, 0x70966279, 0xc9c8852f, 0x9dd71cc4, 0x4bda258c, 0x42045874, 0x2665627d,
+    0xab4e9561, 0x25f7a2bf, 0x3bab4234, 0xd6b02831, 0x1fd70f46, 0x6af14923, 0x1091149e, 0x90fb36e3,
+    0xdff067de, 0x4eb37d74, 0x7c5ae0f9, 0x5fe97e86, 0x23d65270, 0x0852c2b6, 0x5265424a, 0xdc27dfda,
+    0x9bd1073d, 0xe1863b02, 0xa0136b1f, 0xce8cc351, 0xb66782f5, 0xacc00568, 0xbe87fdfb, 0x8fb12ac8,
+    0xf2623e8b, 0x59748a46, 0xe26b1406, 0xc35d47d5, 0x8c9c8c45, 0x6da79b61, 0xa2479b9f, 0xae48ef6e,
+    0x29d9d0d2, 0xb948d034, 0x5f6c0074, 0x4fc80b69, 0x6778a5ab, 0xae3146be, 0x368ac87f, 0xa548121c,
+    0xf4c4f01a, 0x58c92258, 0x01b8dd9b, 0xd379edab, 0x3d670686, 0xae78ab8b, 0xb89841bb, 0x582ab5d6,
+    0xe4aa2b65, 0xc5beb154, 0xb5aeb1b9, 0xef168167, 0x579eefb3, 0x381c55c1, 0xf57b4d92, 0x91125602,
+    0x5eb33a50, 0xaa00abcc, 0x11984488, 0x77089e41, 0x788d553e, 0x75c0ac50, 0x9bb369af, 0xd892e63b,
+    0x8ab9c694, 0x9bf80c08, 0x3da7467b, 0xa3d8466d, 0x57709c67, 0x42497426, 0xc98460d7, 0x898d73d0,
+    0x9c87fe5f, 0xa54c6556, 0x128c7baa, 0x30796e9c, 0xf7079ef1, 0x92c83318, 0xaba0ec45, 0x11868d05,
+    0x03aa10d2, 0x77a22fe6, 0xd1b60144, 0x9aeabc27, 0x435ace7a, 0x2e643ba1, 0x37b553ca, 0x33e3aaec,
+    0x0dd64463, 0xf474194f, 0x07b27e85, 0xed946bd4, 0xc9d20588, 0x18b97354, 0xafcdd388, 0x81399ef3,
+    0x611c88ac, 0x41bf5c07, 0x57425fda, 0x3bda7e98, 0xa886f66f, 0xa78ee1ea, 0x4a8c83d6, 0xc133b9f4,
+    0x3c138b4b, 0xb7913f84, 0xca1e44ec, 0x4efb1833, 0x54d6e468, 0x60851b95, 0x75968d16, 0x694aec65,
+    0x3d44e7cc, 0x4a45218b, 0x9cd9b2b3, 0x13da053e, 0x07ec28d6, 0x9833157f, 0xc8074b09, 0x2c2b3329,
+    0x503fd3ac, 0x1893bb7c, 0x9f75c089, 0x2552f7ea, 0x29e81eb2, 0x2498923d, 0x334bbbbd, 0xce31d2ee,
+    0x3079d927, 0x74c34984, 0xe34b622c, 0xf964450b, 0xdf0ec412, 0x38fa3430, 0x83374ade, 0xd7618e9b,
+    0xfcb94998, 0xf5adefba, 0x011fc423, 0x3f669a4f, 0x2d458d95, 0x30b58ea4, 0x24b6517a, 0xf2414334,
+    0x17a4a28a, 0x21b16b31, 0x9c06c64b, 0x6ca843aa, 0x32dd65a8, 0x4ecb2691, 0xeda7fd03, 0x4f3d24ae,
+    0xe57241f6, 0x64b69ca4, 0x156397b9, 0x7ed466e0, 0x774d14bc, 0xdd609803, 0x5bc3a7bb, 0xec9f89c2,
+    0x28e50139, 0xf79a8b26, 0x7286a871, 0xc9c7661c, 0x7d8f99da, 0x18c6c3c2, 0xdc5253f3, 0xbcf904cb,
+    0x0bbef117, 0x62e027fd, 0x755b1b00, 0xb115a74a, 0x95669c0c, 0xe539f9d7, 0x74ccabbb, 0x7259c07b,
+    0x6a2b141b, 0x153669d8, 0xd9c139f9, 0x191e5263, 0x05bead9a, 0x3c7b57b7, 0x4fe39b8b, 0xd82ba4e0,
+    0xb2f4d7e0, 0xb4dbd9e8, 0xa1a0649e, 0xca07ffb6, 0x916be20a, 0x889f7ffb, 0x8f394cc9, 0xb3723c94,
+    0xe91bcbd3, 0x5bdccc6d, 0x25c67e85, 0x2fee6217, 0xe16207f6, 0xc98113ff, 0xe8d62587, 0xcd524cff,
+    0x2e4c8bfb, 0x944593be, 0xa5dfe6b3, 0xaa293f6c, 0x656b67e7, 0x256176d4, 0x4b8b4237, 0x9e22a482,
+    0x5c376dcc, 0x1ba3c779, 0xde7e8443, 0x42adb112, 0x68d3bf06, 0x79b4f737, 0x611be924, 0x77be2491,
+    0xd68e0ce8, 0x3fe017f6, 0xc8fe0fa8, 0xd12f6d5f, 0x21460e85, 0x0aa5d280, 0x168dcec3, 0xf19ef6f2,
+    0xac5e2ad8, 0x1ea50137, 0x362eba3d, 0x565f3b15, 0x65b1673f, 0x15092f7b, 0x1252fd17, 0x4fc20a82,
+    0xc84fec06, 0x03c37d73, 0x1cd3903f, 0xc52c7a96, 0xc7ed89c6, 0xe11fe9e1, 0x3cee3e7e, 0xf1e4d4a9,
+    0x2508b9b2, 0x8ec0a85f, 0x6b94c461, 0xc6f00d6e, 0x3283c93c, 0x03e83122, 0x4cd84d9f, 0xe60ebe52,
+    0x06bb2a60, 0xa87d8aee, 0xa6f65594, 0x9ca3f25d, 0x8632b136, 0x546c8e26, 0x0648f592, 0xff80c158,
+    0xd7cceb7e, 0x29ef36c3, 0x224f4801, 0x77154ca0, 0x40214770, 0xe9394439, 0xeaac768a, 0x04d0d749,
+    0x348827ad, 0x42bffa63, 0xb2fc5970, 0x9b910231, 0x9ac764d0, 0x42995a9b, 0x1e3292ea, 0x7763e96d,
+    0x590556c8, 0x8d8cefa5, 0xbf542533, 0x7ee83750, 0x8124f0a0, 0x61056fdd, 0x2e143c19, 0x0b3e255c,
+    0xf04d66ee, 0xd80282fc, 0x3ca4dd12, 0x3f619c1b, 0xc7f491d6, 0x52c232c5, 0x8473d60b, 0x9a8197f8,
+    0x7d331547, 0x59df6aa1, 0xd419f188, 0x9abaaea1, 0xd1d41176, 0x220067f0, 0xe5d6384c, 0x9cdef9ec,
+    0x694cf69e, 0x105f5ef7, 0xb2335397, 0xde3c68dc, 0x1893d55c, 0x9a404531, 0x54ea4612, 0x5ab5bee2,
+    0x17db50c0, 0xecf8a284, 0x86688cc7, 0x23039870, 0xf5ae42f5, 0xf82a390f, 0xae8ee5f6, 0x399bf145,
+    0xfefda632, 0xcba50c08, 0x57197320, 0x1fe259d0, 0xdcdfda71, 0xd9ab5a7f, 0xb577a112, 0xe4855981,
+    0x7bafeee9, 0x28b3845a, 0x4f1a5573, 0x1a53064c, 0xb06d06a8, 0xfafd5551, 0x557ca253, 0x76a15bb7,
+    0x79dd0abc, 0x23db27db, 0xef96d461, 0x170f4fc4, 0xf21ee688, 0x2154c1ac, 0x73a13fee, 0x41a7a9d6,
+    0x59be9876, 0x9f4b4770, 0xf855b72c, 0x3728c54e, 0xdbcc6d7e, 0xf058cce7, 0x0ab42f1b, 0xcd3e5bce,
+    0xf311a6b5, 0xa87ee4e8, 0x81200594, 0xf0d1f027, 0x2c1179d4, 0x1ee06f72, 0x08490e12, 0xf3750451,
+    0x5bbb31c6, 0xa319e0fc, 0xc3b63e64, 0xec746ccc, 0x198faac8, 0xafb1a2e8, 0x3599c859, 0xc6a24f02,
+    0xad19e498, 0xb06036a8, 0x6b1c65c2, 0xeea6f51f, 0x2e2504db, 0xdf22a1ec, 0x7884240e, 0x68058037,
+    0x55157073, 0x567f4926, 0x5aebe119, 0x6052746d, 0x0ccd20e3, 0xcb1db2a8, 0x0ba28311, 0xd8410561,
+    0xaa66b57b, 0xa34ce5b7, 0x22038b48, 0x219d5b4f, 0x49fb9b8c, 0x6a4df045, 0xab8cd49a, 0x25618afe,
+    0xcc96a956, 0x35947348, 0x73f3b91c, 0xd43c679b, 0x801d43cf, 0x0ee4105a, 0x91c787bb, 0xc1a07ef6,
+    0xd9d82f19, 0xc464b698, 0x57d2c4aa, 0x3c8b8e5b, 0x145b3244, 0x2076009f, 0xeade403c, 0xd17068a9,
+    0x4f1bd098, 0x10b09231, 0x2ae89f8d, 0xbc7fb6eb, 0x48a110e6, 0x454e212f, 0x4df80721, 0x8928d490,
+    0x49aeb277, 0x08ce1e57, 0xfb2aef8b, 0x7daee621, 0x2426e0d7, 0x3bb32b67, 0x49d9c97c, 0x9b246c0b,
+    0x8dcfa8a6, 0xde167f3a, 0x65bf916b, 0xb188af75, 0x801a2f1f, 0xc88a51d7, 0x7d7546ef, 0xb7c9cfc0,
+    0xfe6d25b2, 0xc91ac54a, 0xe5c59ff0, 0xb543d452, 0xd45d845c, 0x572bbeb4, 0x161f0109, 0x7251a6a4,
+    0x09cf044f, 0xb4af933d, 0xa9c2517c, 0xf5d93d29, 0x9a5a734e, 0x86353b7b, 0xc7001ea0, 0x467247e2,
+    0x1b685236, 0xb55e89a2, 0xa5012121, 0xfc11c4b9, 0xb961060a, 0x19bdcf1c, 0x899e9ff0, 0x926d90da,
+    0xa1d28695, 0x0959cc2f, 0x98f9dcd7, 0xa83febf3, 0xaa2e80fe, 0x41154f3c, 0xf62964b2, 0x822d4aee,
+    0xa40bed2d, 0xcd81f27a, 0x39d3e1bc, 0x5105ec1b, 0x219a9ed2, 0xa22c57e1, 0x8475ed5b, 0xb91ee264,
+    0x7f34dba3, 0x9cc65f65, 0x9560714f, 0x5f059914, 0xdb381bff, 0x05db2929, 0xb692b98c, 0xb7ec0662,
+    0xffb953f4, 0x897ec136, 0x06ae259a, 0x2764441a, 0x3d11a097, 0x3ba633df, 0xea82e5ab, 0x13781397,
+    0x9fb01696, 0x696e27ee, 0xb13901bf, 0x84f72268, 0xda97ca60, 0x7110c465, 0x8f401a6b, 0xdfb41732,
+    0x8f0db9cc, 0x92bcf4ba, 0x3ea19699, 0x3e00310a, 0xc2983ff8, 0xff0098a1, 0x8f547a5c, 0xf077411b,
+    0x30ca21a3, 0x8557462b, 0xd696d7b0, 0x32672f18, 0xb223bc94, 0x4b86f72d, 0xc8457db3, 0x183f181c,
+    0x5b2520ca, 0x2375120d, 0x58358fbd, 0x752bcf03, 0x94581faa, 0xec3fb79b, 0xd3690e20, 0x6d5e0272,
+    0xe0ccee5d, 0x5ef37c20, 0x90877511, 0xc16d80ef, 0x24e8ede5, 0x40d9493a, 0xf4ac6c99, 0xa48c9145,
+    0xf357c2fd, 0x67771201, 0x0541f6a8, 0x0edbf092, 0xa6a12c19, 0x8b6d0298, 0x95cf1b18, 0x4117db6d,
+    0x8e4717b1, 0x9e3e6eb7, 0x74f9c6b1, 0x14cfd23d, 0xaf9b7d27, 0x42a9d93c, 0x163cecc2, 0xdc4e031e,
+    0xedacb9ed, 0x157fd542, 0x72612990, 0xab72320a, 0xee59f1d9, 0x6771c86e, 0x6cb66a06, 0xefe5f672,
+    0x2d96cf6f, 0x16fbb4ee, 0x0be99dec, 0xb754aba3, 0x8facd236, 0xa69457b1, 0x3d86868d, 0x58acaa72,
+    0x054e6572, 0x06b775fa, 0xfdb298d8, 0x1772a7a3, 0x5144bd4a, 0x1bdbadbe, 0x183bcc57, 0xa9b0af03,
+    0x60ddff03, 0xb31bac1b, 0xdd251c30, 0x6a30fd4f, 0xbc6aa57e, 0x88583cb6, 0x5c64d1d7, 0xbcfdc41c,
+    0x3ea32ca9, 0xebfc98bf, 0x720e527d, 0x38dcf07d, 0xbbc4eadb, 0x1bb28e9c, 0xa568db66, 0xe576e3c5,
+    0xf89e8983, 0xc2eb9ba8, 0xc7e77471, 0xf7d01108, 0x7960f9c3, 0x6e33c02d, 0x4c30a068, 0x4a2cef19,
+    0xf09d2c07, 0x3ffe51d6, 0x8b34ce7f, 0x1a66798e, 0xacf74306, 0xa1a37fb1, 0x09f9fe19, 0x524f7a49,
+    0xd9326e40, 0x0772d71b, 0x2ee595bf, 0x12fb508b, 0x3d3b7298, 0x693b771f, 0xe204689f, 0xf84f9ef3,
+    0x9197bcd1, 0x30d945f6, 0x9526bdb1, 0x75d9f8d6, 0x4340be72, 0x7de533b6, 0x8485e14d, 0x3dde187d,
+    0xa4236f8b, 0xc3fd16c7, 0xad2674ef, 0x558ccf58, 0x6fd22d50, 0xcdaea736, 0x523f30b6, 0x089b9b1f,
+    0x01d70d66, 0xf1f82b11, 0x81791885, 0x38e13689, 0x7e1c1f04, 0x0706f204, 0x0bca6fd6, 0x5902a05b,
+    0x3e960a46, 0x89af0273, 0xe8b045b8, 0xa74b2553, 0x806df8a4, 0x8ad1cdfc, 0xe6ea8346, 0x75027be0,
+    0x06cada37, 0x3ade4c35, 0x8d7a2b7f, 0x094567a6, 0x8f7d1764, 0x38c2b1f1, 0xdc5f75e4, 0xe908faff,
+    0x87828247, 0x295b42f4, 0x2f722cf4, 0x584eb0b9, 0xd5cd39bc, 0x566940e7, 0x60eda815, 0x29df3d24,
+    0xca83cf07, 0x5bfd7dc2, 0x69893661, 0x09a88455, 0xc69df7ce, 0x39303d72, 0xc9bec9b6, 0xbc3dd689,
+    0x9b6d13d5, 0x79be3975, 0x53bb2e37, 0x06310da4, 0x78e2f72b, 0xa2b26efc, 0x5a92df4e, 0xc6f14cdf,
+    0xc6b33ed0, 0x434c87c2, 0x357759ea, 0x8407395e, 0x05f8f203, 0xe28db867, 0x35800997, 0x4fbf93f4,
+    0xf425ad44, 0x08ffe9ef, 0xc147bf1e, 0x89494090, 0x938b131b, 0x8c95a7f1, 0x26ee337e, 0x18dcc045,
+    0xc2e8d27c, 0xcf0b0d0a, 0x6c17c29a, 0x0d480520, 0x29adfb22, 0xeda403e7, 0xa2a977b2, 0x41ca982c,
+    0x7f44a72c, 0x6abda367, 0x0b0698a7, 0xa08cd3fd, 0x5b56135b, 0x4490312c, 0xae24a0de, 0x40ad6b72,
+    0xe383b245, 0xff27eed9, 0xf691951f, 0x790efb15, 0xb44f5397, 0x97b09de3, 0xfd33751d, 0x482fa941,
+    0x8936d2fb, 0x5dabdc40, 0x3ca24a37, 0x4e0268ce, 0x49c0a7f7, 0xb965c8bd, 0xb4c2e0e6, 0xe845cb02,
+    0x23e3168b, 0x63d365e2, 0x8fa337ee, 0xef3c2770, 0x21d22751, 0x58b5d0c2, 0xfa9fe1ea, 0xa9eb2293,
+    0x4b19c6bd, 0x8360363d, 0x9bb6fea3, 0xe94de725, 0x899fa7c5, 0x697d096b, 0x5c886c79, 0x5da86cac,
+    0xd4859b39, 0x46d551ab, 0x9349e594, 0x7d70ff1a, 0x9d80e248, 0x58c9687b, 0xd47b8e9c, 0x42faf391,
+    0x73493c87, 0xd2d2159f, 0xb634b75f, 0xfcca6a8d, 0xdf0490ff, 0xdfd08c2f, 0x3c2f44ea, 0xd12bc31b,
+    0xc29b325a, 0x9347e8bf, 0xc679842a, 0x8e349078, 0x869ef5c8, 0x1016fcca, 0x38890062, 0x2293a708,
+    0xe707a7d2, 0x1f2a0790, 0xe7d13c55, 0xf4f6998e, 0x488bb7bc, 0x735d2b1b, 0x6c24c6c4, 0xdfedaeb7,
+    0x0ae69dc4, 0xfff003e4, 0xce24b406, 0xea5eef3b, 0x2e4aa2f1, 0x8c16b311, 0x90b4b069, 0xa0c9abc9,
+    0x6402b8b7, 0x5af93f8d, 0x127b3fe9, 0xe977a50d, 0xb7b5261b, 0xed40f496, 0x45858cf1, 0x016df59e,
+    0xbcfc40c6, 0x56ca4c6c, 0xcfec78e8, 0xeeb3fd07, 0x6e82bb83, 0x7e62bfc9, 0x21b1ccea, 0x831eb4fc,
+    0x803c6bdc, 0x8b6ce135, 0x9c39a92a, 0x13f306b4, 0xe0d3689e, 0x1e7dbfe3, 0x49e8ef2f, 0xd4dbbab7,
+    0x4396c5cc, 0xd0a09493, 0x409c3c56, 0x7bf20cd0, 0xc80f5ac8, 0x9cbee281, 0x3162f9bf, 0xa0984e44,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000162962878106758\
+                          88690147565507275025288411747149327490005089123594835050398106693649467179008 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4,
+    0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d18, 0x7a62f99a, 0xf0216229,
+    0x00000000,
+    0xeb3e9b53, 0x7dff02c6, 0xa95a551a, 0x07f53b27, 0x9a2e5ca7, 0xfbd4519f, 0xdd306fe1, 0x0725a6d3,
+    0x229c9d17, 0x96ef0f71, 0xdf7c3a7a, 0x85bd7f18, 0x81d12fa4, 0xb527d1b7, 0x10cd62a1, 0x00b17a2e,
+    0xe3e2964f, 0xb49ba69a, 0xd255f985, 0x23ec10ff, 0x56d083d9, 0xff380d6a, 0x1d6c334e, 0x25177649,
+    0x1abda1cd, 0xae994f91, 0x3a370740, 0x21ed2dff, 0x633e2e67, 0xf377f1b0, 0x15efd91b, 0x8d4dd5b9,
+    0x87e0114a, 0x824619ed, 0x2c1b3473, 0xeff192b2, 0x04520183, 0x9f06f29e, 0x941b9d66, 0x45866ee5,
+    0x6c5e7475, 0x9845b083, 0x53ff3245, 0xa95333d4, 0xc18e243b, 0xc52986db, 0x4fcd588f, 0xd1c4d4ac,
+    0x357b208c, 0xc622673b, 0x3b7aa5b4, 0x191df165, 0xec3dae02, 0x47431f2e, 0x232fb77b, 0x912bb9cc,
+    0x734bde2b, 0x301ef927, 0x312133e4, 0x6e041e15, 0x84cdf635, 0x32f52ac8, 0xbaeac7ef, 0x7b137527,
+    0x00f2f26b, 0xff279035, 0x79520bc0, 0x963eff2c, 0xa7f0d77c, 0xf21d39db, 0xbd392093, 0x4691e2be,
+    0x7d33e9c8, 0xcf39d66d, 0xc2abb283, 0x813cc030, 0xfcb1393b, 0xb213d34f, 0x07125775, 0x7e153e7a,
+    0x175de1e6, 0xbbc3aaa8, 0x6259f290, 0x6e37df1b, 0xb140071c, 0x675682ca, 0xa9cc2b60, 0x6df9f780,
+    0x86ce2ae4, 0xa543d1c6, 0x82161ac7, 0x9c53a466, 0xd0e0c6b1, 0x0c629b8a, 0x4fb9c81f, 0x6ffdaa1b,
+    0xa91d2166, 0x2b7ba7c9, 0x2639cfda, 0x379d3c94, 0xf9469512, 0xd0c24b7b, 0x6cf7d37a, 0xac2dd464,
+    0x017dc176, 0x77dcc9bf, 0xa529e746, 0x1d36dd0b, 0xabe2f1cf, 0xd76ab849, 0x978cef08, 0x5b435cd5,
+    0xab5087eb, 0xe2f7555d, 0x9576a778, 0x93c88b66, 0xb12f349a, 0xc1feff51, 0x9ee9d70a, 0xec8fe953,
+    0xa5f642ba, 0x4a6d9863, 0x9c64655e, 0x19bb641a, 0xc441a991, 0x639ee859, 0xd1018773, 0xc9deb377,
+    0x96c9bed2, 0x4617b6c4, 0xfcc72734, 0xcc2874f0, 0x4accc502, 0xbf8addaf, 0x77c37e59, 0xcfe35083,
+    0x1f2912b3, 0x523ae600, 0xfd50dd96, 0x8001ba2d, 0xc9350e9e, 0xbebe3a72, 0x2f55d346, 0xb5ffc3f9,
+    0xe849ef2d, 0x02c1b2d4, 0x4af8acf6, 0x04a5a7b2, 0xcab67a37, 0x49bf7f3c, 0x5af48b0b, 0xdd377f9f,
+    0x048de103, 0x08832182, 0xace6c840, 0x195de8db, 0x4ca01820, 0x54330d35, 0x87d6dacc, 0x5593a48b,
+    0x3224c985, 0xa9261bdc, 0x22601961, 0xf127cb4c, 0xabbbc194, 0x9a9ec1ba, 0xad5fe513, 0x51acfad4,
+    0xdd6154a7, 0x9e390a94, 0x72afad83, 0xd5b49287, 0xf5b2cfeb, 0xf0bc0952, 0x439297cd, 0x9a44d548,
+    0xd7947c90, 0x3d261afd, 0x26c3d168, 0x344b1262, 0xaeb7baa6, 0xc39610d8, 0x64f96291, 0x3f23b100,
+    0xb9a0ad81, 0x463b3aba, 0xd2c47fef, 0xa6efd243, 0x2996ce4d, 0xd1365cbd, 0x00e7f188, 0xd9c151f8,
+    0x2e84c7f4, 0xf412c3bf, 0xab95be5c, 0x4ce75116, 0x8e9636e5, 0x290867b5, 0xb2f75fda, 0x857d4a98,
+    0xb981d683, 0x2d2e109a, 0x0629dd64, 0xab75d0bd, 0x03c46cd2, 0x33a5976e, 0x589224ee, 0xc248e64e,
+    0xff118232, 0xbb6d0a82, 0x0144a1f4, 0x76bd7099, 0xd4a9fcc2, 0xa25a87df, 0xd16e36bb, 0x64d1d302,
+    0xb5565eeb, 0x4feaac18, 0x1b215d5c, 0x127895ce, 0x85ef6a4b, 0x3cca1f9f, 0xfe27a694, 0x06623f3e,
+    0x885650ff, 0xa0110489, 0x039e05a4, 0xd75ec123, 0xea6e8c31, 0xd3b6b248, 0x6969d1da, 0x3ff1aa34,
+    0x07c8dce3, 0x296d05fe, 0x8f892578, 0x15e4ae70, 0x2ac1d989, 0x14b1fe94, 0xe90886f2, 0x94d14781,
+    0x64f1d41a, 0x8ecd4139, 0x9ffa27e1, 0x62c63bd1, 0x64812f40, 0x48850105, 0x643bb598, 0xec6dd4ac,
+    0x8fe0fffb, 0xd78e2cb3, 0x3c855cf2, 0x862e7ce2, 0x008bb25d, 0x15232b20, 0x4e478a9c, 0x1907ddf4,
+    0x1aa7832c, 0x40ac5958, 0xc7e79773, 0x1b9320e3, 0xce7acc76, 0x4df0f657, 0xd16c59eb, 0xa5a8e3c9,
+    0xe334aa5f, 0x5d416f60, 0x79e16daa, 0x35f0e16c, 0xddfe9646, 0xc3adcca2, 0xa5d017a5, 0x9279c140,
+    0xf6152a2c, 0x7b0125f4, 0xb905ecb3, 0xafd0b1a7, 0xc49277f4, 0xc935ea24, 0xecf7ffd9, 0x5ffe498d,
+    0x66358de9, 0xa68cf6d5, 0xda9e6e32, 0x53447067, 0x9d1d0fc9, 0x13c57d19, 0x10d8c49a, 0x6ef4923d,
+    0x18664c23, 0x005ff6a0, 0x2be8cf44, 0xb00f656a, 0xea80b25a, 0xdeb43ab2, 0x9edc3b8f, 0x18cb1252,
+    0x1e6a79b7, 0x9e77fd7f, 0x31c47673, 0x364a44b3, 0x20ba7e8b, 0xba82b6d7, 0x86c2a26f, 0x7f698c8c,
+    0x1bd96ca4, 0x6b62b3ea, 0xa0986c58, 0xb1974e3e, 0x2ce5d170, 0x0ded98b6, 0x18a68cc5, 0x4877b882,
+    0xa0e50899, 0xb8077828, 0x458561d0, 0x7d351cee, 0xbc07d1a8, 0x802f1419, 0x7a47d031, 0x82e61f53,
+    0xee18b97f, 0xbd7b2a41, 0x390786a4, 0x16aef0ad, 0xec29c7ff, 0x0f81c10b, 0x4b666530, 0x0e2b85db,
+    0x59b85f96, 0x23961f23, 0x3016b55e, 0x073c2388, 0xac0fa8c0, 0xd57bf8e5, 0xd8cd27aa, 0x658eb8d0,
+    0x45e0c723, 0x10c47a0f, 0x0f4d4f29, 0x2c854031, 0x1565618b, 0xee603c32, 0x4278287d, 0x0798a308,
+    0x07793cd7, 0xd1da2866, 0xb845c259, 0x32b9be20, 0x19daa895, 0x0aae77dc, 0x43a73bb2, 0xf1c48ee9,
+    0x0f19b604, 0xd4dee603, 0xf8930961, 0xfdd1b46a, 0x18ffa3a6, 0x6fcc9f0a, 0xcfd66f6a, 0xb6226c43,
+    0xbeea472f, 0x8122d643, 0x702fd753, 0x8e0347c8, 0xf55764d2, 0xa27b91ce, 0xd72613a5, 0xb8fc718e,
+    0x5269bda7, 0x342b9855, 0xcc1d6e72, 0x713e0e58, 0x391a2a5c, 0x7939ed68, 0x996263eb, 0x6a601db3,
+    0x207e03e1, 0x5e7cb105, 0x09d6c236, 0x08881aa1, 0x1d8853a7, 0xcd64b6b6, 0x976cd701, 0x2913c0b7,
+    0x29bf573c, 0xda431dd7, 0x8ae76553, 0xc0a4b303, 0x830f24ae, 0xdf727c65, 0x7cad0aee, 0x351ce37a,
+    0xa4a9027c, 0x0cd66de3, 0xd3724869, 0x72a32ce5, 0x3905adcc, 0xfdce1841, 0xefc8aafe, 0xfe0f33f5,
+    0xb51023e1, 0x1c77a514, 0x1932a9f5, 0x546a202b, 0xa960be4c, 0x44e233a6, 0x6cdfe23b, 0xc50b37d1,
+    0x4b0dc619, 0xa6c2d670, 0x59306c94, 0x806d0b48, 0x469ee735, 0x1b653981, 0x674b3f07, 0xa15577e8,
+    0x8b9dfe61, 0x38e788bc, 0x656fb2d4, 0xda4d05e4, 0xd1904b94, 0x7efa26d6, 0x257357f0, 0x5dff0942,
+    0x1df019ae, 0x1e7aab49, 0xf00312a8, 0x522eb63c, 0xa8e70262, 0xcd914dcf, 0x333e4ad6, 0x1b6febf0,
+    0x49dd271b, 0xc07a6829, 0x40c9b2e3, 0xedebe386, 0x0a1b9635, 0x5281d029, 0xb4cd1243, 0x2bce8f6e,
+    0x09fff30b, 0x55ede0f6, 0x10dd7033, 0xcab5f149, 0xfd1d0915, 0xbc8ec807, 0x65ba6794, 0x30ee562f,
+    0x3ffef151, 0x54661a16, 0x4d4300bc, 0xb4790345, 0x1fb81fb8, 0x3222dfd3, 0x956af3e1, 0xf35a2c09,
+    0x07c76790, 0xecd448e6, 0xb6dd374a, 0x5f678c08, 0x93a211cc, 0xe95001df, 0xa48c3bea, 0x7d940691,
+    0x54f81321, 0x1d64ee7b, 0x65b14202, 0x262f4c47, 0x4424cbed, 0x56f4cc54, 0x3ac8b685, 0x21ff9c3e,
+    0x2121785b, 0x6a7bb169, 0xd88dfdef, 0xb3894950, 0x860578c6, 0xa4a874de, 0xdabab719, 0x56b9d4b6,
+    0x5306bfa2, 0x5c76d883, 0x670e99bb, 0x9548fe7b, 0xc63e709d, 0x1e81a30f, 0x7268b2dd, 0x77095ae2,
+    0xdbd7d2d1, 0x912570e3, 0x85128a9f, 0x5748cc3d, 0x1175b7ea, 0x150ca64c, 0xac79f7b9, 0x58da6209,
+    0x6a3b0ab1, 0x4d0d303e, 0x18de04e2, 0xd9255bd9, 0x8ea41764, 0xbd76c46c, 0x1f2ad6f1, 0xd1fa712c,
+    0xb28a5197, 0x38301399, 0x29ebd880, 0x15bb3b7e, 0x3c8d2303, 0x7a41043a, 0x5a56af5f, 0x4dfcf7f3,
+    0xc6a39c92, 0xade9f4a0, 0xc56f1400, 0xf39198c1, 0xa6d5781c, 0x78931b43, 0xcd2e3c86, 0x7cea1e74,
+    0xb403d49c, 0x837e89aa, 0xa5119163, 0xdee8e8d4, 0x70650ea8, 0x69eb7f33, 0x8576a682, 0x1aee180a,
+    0xb6bdc7b5, 0x4a33ad93, 0x81b67bb7, 0x2c03ce33, 0xd21b30aa, 0xae18608c, 0x5c04fb66, 0x1516d46f,
+    0x90c8b1b7, 0x23661c02, 0xbcda74f0, 0x2f575138, 0x0bd8728d, 0xe36250f1, 0x110d1206, 0xc1bff011,
+    0x0bc5cc1f, 0x436cafe3, 0x21cf416d, 0x4483ea8b, 0xe1bc8632, 0xb1ffae70, 0x0851cc37, 0xe008f9ca,
+    0x41b4bbac, 0xd49da63b, 0xd2fe5bdd, 0x1b99083e, 0x0d9aa115, 0xdbb6ed5c, 0xd95fa1a2, 0x04e795fd,
+    0x3f4e7cb8, 0x2bed827f, 0xe1505dd7, 0xb3379872, 0x0d34a3be, 0x59a058ed, 0xf5eb7b67, 0xa23c9f85,
+    0x5a27506c, 0xf102098c, 0xfbd8df1f, 0xa4aff8cc, 0x79503dc4, 0x7c90a162, 0xf47f7a0e, 0x0d621036,
+    0x6b2aa098, 0x856c6d6d, 0x04bf7d60, 0xcc8fabd6, 0xc1d6d8fe, 0x73ddbb98, 0x21e4d436, 0xec2dc82c,
+    0x248b6819, 0x91d6e72d, 0x6e5ba0a4, 0x1f29e46f, 0x47b76bf0, 0xcc77af10, 0x70d51f8c, 0x5e73d6af,
+    0xf30f80a4, 0xbe1372ed, 0x6564ee5f, 0xbb402e4a, 0x1447c256, 0x3aae2b66, 0xa04acb57, 0xa8f907dc,
+    0x19079c0b, 0x902359b7, 0xc52f7f2b, 0x15060ffb, 0x4c8cd8c5, 0x5e0eec07, 0x66eb4412, 0x5e1d801e,
+    0x68c51c8c, 0x32ffb8ac, 0x4740f308, 0x7cd3eb60, 0x4f14004f, 0x1faba857, 0x8b6963a4, 0x166c0e2c,
+    0xb3183e14, 0x373a4cc4, 0xd20fb527, 0x6c7e7c77, 0xd579fea4, 0x69048bb3, 0x9bc2e240, 0xaba3a5fb,
+    0x3c768421, 0x91691e4e, 0x038170d1, 0x03185553, 0x240e6287, 0x5a5a296f, 0x8ddd0649, 0x1cc0d51b,
+    0x140b622f, 0xaf0c5d43, 0x55127178, 0x5675a2f1, 0x02c136fd, 0x0d8f9188, 0x49572065, 0x2ddea1ab,
+    0x6fec5918, 0x003adec9, 0x7de7b44d, 0x666658fc, 0xf94b6819, 0x224da2f1, 0x4a277781, 0x44a7c6fb,
+    0xf40ee09b, 0x6e0d40de, 0x31d06e69, 0x23ac35ad, 0x0c09f733, 0xcd88a682, 0x76c9a53c, 0x9048ead8,
+    0x86b6393c, 0x240ad6bf, 0x2e4b4e2c, 0xe7070029, 0xfe1b5c3c, 0xe07cfebb, 0x299cbbe6, 0x2162997f,
+    0x7446e860, 0x0d0725fe, 0x2d389b7d, 0x3366b12c, 0x6069f065, 0xd08d34f8, 0x4bb09aee, 0xc2ec9afe,
+    0x7b752f29, 0xdad30d7e, 0xe2ed6cd1, 0xf2e746df, 0x5e12fcd2, 0x4374e014, 0xb759f0dd, 0x7a580515,
+    0xde10f3d5, 0x3de8f4f5, 0xb1b04169, 0xca31a0e7, 0xb3e69c8b, 0x702de4bc, 0x7bf94bc8, 0xf01566d2,
+    0x0c5f338f, 0xa1f6cef6, 0x00dac826, 0x34f21250, 0xfd79b068, 0xd7c0cc8f, 0x163d1684, 0xa4c6e07b,
+    0x0695729a, 0x8c4953ba, 0x38411a3c, 0xbcb57471, 0x6e91e719, 0x3dcabe6c, 0xea036737, 0x996de6d4,
+    0x8f110618, 0x5a83a0ae, 0x14f1659c, 0x41dfaef2, 0xe4f411ef, 0xdf35623a, 0x2952fbef, 0x03240808,
+    0x193951d6, 0x799d7556, 0xebb7960a, 0x51c74343, 0x6748a8bf, 0xe47eaf7a, 0x0960a91b, 0x60794a55,
+    0xcc6d1aa4, 0x5fc095d9, 0xb363dc6b, 0x9502f0e8, 0xe8a733db, 0x7d4dab57, 0x615e78fb, 0x05d7893b,
+    0xd6ab4003, 0xffa97617, 0x7794d6c1, 0x012268cc, 0xc58ab0ff, 0xfba1ef4f, 0x31a8d0c4, 0x29d5bad6,
+    0x9e337953, 0x997e58a3, 0x87e4c8d0, 0x3614288f, 0xa8993ff2, 0x53d87fe2, 0x1147bce1, 0xf5132312,
+    0xa4a78ae7, 0x38634d9e, 0x89c37371, 0x310c0fad, 0x2084d1d6, 0x58de41b7, 0xf707905f, 0xc8740c7c,
+    0xa39acd77, 0x0f765bca, 0x2a02b223, 0x95c57b3e, 0x3e7888d0, 0xbbaa3cf8, 0x2ebdd5ab, 0xac507825,
+    0x91a85c86, 0xa4077621, 0x7aa0996f, 0xcc149eef, 0xed0b380d, 0xdc641264, 0xab722e8e, 0xf4687794,
+    0xbb19dd99, 0x262cc91b, 0xdb78ab11, 0x2aa5ea2f, 0x2b5e21b0, 0x30eb79b4, 0x32b05352, 0x47aa58cd,
+    0xd6cc5b6e, 0x43437b87, 0xf5b0f092, 0xb153cb77, 0x31ea013e, 0x6dec6573, 0x501e2b0d, 0x6276a87d,
+    0x86efb7a3, 0x7f4e1c26, 0xabfe84ee, 0x935aa8f9, 0x677ffdc5, 0x8f2e368f, 0x46d097f0, 0x97ca6412,
+    0x46f41bee, 0x499ab7b2, 0xf551305f, 0xce8cbc05, 0x0c99dfb9, 0xa356d747, 0x49b28351, 0xc308c5cc,
+    0xd37f2be7, 0x3f82ca71, 0x2459fdc9, 0x7d77b677, 0x5074da2d, 0x317ea567, 0x66b5ccc1, 0x544d7903,
+    0xc9a71dc9, 0x2fcf68bc, 0x31129a2f, 0x57b718e6, 0xe9a8de0b, 0x282c5132, 0x98082bce, 0x827f3f88,
+    0xa33d14dd, 0x576027ad, 0x672fa138, 0x09b1e9a0, 0xeb78d68d, 0x1ef23ee1, 0xef771fbe, 0x221deb97,
+    0x0578b0b2, 0x81eeef92, 0xd02a0018, 0x0eb0ca77, 0xa4234692, 0x2a796316, 0xd0152772, 0xd095a385,
+    0xade11e17, 0x3dc66291, 0x4d75b21f, 0x42c25429, 0xfdf53038, 0xae870c95, 0x97162741, 0x46dcfebd,
+    0xb252456e, 0xee7b64c0, 0xc5deb050, 0x6d1e4b06, 0x54987115, 0x29b91a74, 0x9724e858, 0xbd46cd71,
+    0x735d1358, 0xbd8989ff, 0xe0668084, 0x5aae08ae, 0x99479235, 0xb4ab8756, 0xb7f1717a, 0xc8f9c288,
+    0x05ef9479, 0xcfc4f696, 0x7a635ccd, 0x39176010, 0x4575ddf4, 0xaa218410, 0xee8e130e, 0x5ea472d1,
+    0xd9a65d8a, 0xc7af8b91, 0x3c03c514, 0x98a86b2c, 0x8147e2d2, 0x18574c2b, 0xebc4ae09, 0x8c65217d,
+    0x719fb1aa, 0xbd270543, 0x597b8ded, 0xcaf979e2, 0x858fd9c2, 0xb8f6533d, 0x4f63a473, 0xd2ae7460,
+    0xf3f88aa2, 0x04247d1b, 0x4258ad0b, 0x6d628e65, 0xc8ba7e0c, 0xb051399b, 0x9e8a7025, 0x0a388c14,
+    0x70e11edc, 0x12773e3d, 0x6a8ce1b9, 0xc31cbb23, 0xc7e61440, 0xf76cdb9a, 0xe7010192, 0x800d7e22,
+    0xe3a04f67, 0x7520c16f, 0xef03dcda, 0x5d5169e6, 0x9c5da867, 0x7701acda, 0xa23e66f8, 0xb0e405c4,
+    0x00d06055, 0xe74a2303, 0xc1cc7f0a, 0x03e844c2, 0x0409ad35, 0xca8b303f, 0xc77322f5, 0x1fc9770d,
+    0x552c4ff9, 0x8f40bebc, 0x88c95e5a, 0x32c40c2a, 0x3138c19b, 0x6ec59195, 0xa0f4bb2a, 0xb2d8bdc4,
+    0x1dff289f, 0x57cc29c9, 0xb0fbea83, 0x8188dafd, 0xd9c91025, 0x399b9a94, 0x4b560958, 0xf6c1c2ee,
+    0x265c76cf, 0x7599d424, 0x87415914, 0x5847862b, 0xa2703018, 0xc277be81, 0xc46896d5, 0xa578ff2a,
+    0x0c977cd1, 0x8b2268cc, 0xc6d876ce, 0xcad1b43d, 0x686e70c0, 0x62360d91, 0xee795a36, 0x6b52c557,
+    0xae7d43a0, 0x4b60521c, 0x618e0df9, 0xed3adae0, 0xa815de5b, 0x8045cad6, 0xfacfa97e, 0x54ed66f2,
+    0xc4e385ac, 0x2c4deaf2, 0x5f786ec2, 0x4ad0fa8c, 0xc5193e4f, 0xcd35a9d7, 0xe4dafc5e, 0x68407eca,
+    0x05745c02, 0x03d0ae97, 0xb8dd42e9, 0x61d2bed6, 0xbbde587b, 0xcc80c3f3, 0x61391721, 0xe7229bad,
+    0x13cf1cda, 0xbc6f2c61, 0xe200f517, 0x4b9d914b, 0xc53735ee, 0x8c1aa768, 0xf18d2de3, 0x93639800,
+    0x8b464b05, 0x8acb8ec9, 0x4d507771, 0x26e3fc45, 0x4bfa4bb6, 0x98f997ac, 0xf7465444, 0x31f36239,
+    0x3c09a291, 0x2e992668, 0xe480a29e, 0x900a54bf, 0x88052cd8, 0xd3618161, 0xe23fd5d0, 0x8ecdf137,
+    0xde41237c, 0xfcf25dc0, 0xbbe8a575, 0x5bdcaf0c, 0xd2367a92, 0x778e5713, 0xec42aa62, 0xb1fc35aa,
+    0x05394735, 0x29630255, 0x103c7c55, 0xcda3ce87, 0xb7c719b7, 0x1308d38d, 0x5a50ddfd, 0x21ebf308,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000081481439053379\
+                          44345073782753637512644205873574663745002544561797417525199053346824733589504 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972,
+    0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8c, 0x3d317ccd, 0x7810b114,
+    0x00000000,
+    0xad86adbb, 0x7e61da21, 0x2db583d0, 0x13d6b7e3, 0x766fbf72, 0x68bb8b87, 0x4568227a, 0x70489ee9,
+    0xd6913fc9, 0xa9d7b742, 0x1f2d7b69, 0xe1e9f1b6, 0xa48dcb85, 0x672d8a1f, 0x707fc381, 0x00cbf48a,
+    0x7101ddc2, 0x2600f7de, 0xf3ab6d50, 0x61bd95a2, 0x9242734f, 0x33daa8c2, 0x86c0940d, 0xfd1c42b5,
+    0x6fed2d45, 0x126b10da, 0x6005783d, 0x078cb498, 0x9efb58fa, 0xf4e52f44, 0xf6622b16, 0x47c4cc92,
+    0x0aeaab44, 0xbe3b1b0f, 0xe70fe523, 0x8b7834cc, 0x43ce7c20, 0x396a5923, 0xce8cce81, 0xee03eec4,
+    0x42670056, 0x1dc09e37, 0x07aac8b0, 0x90678d9b, 0xa548cab6, 0x9e33af7d, 0x2a320434, 0xe66231c2,
+    0x578e311a, 0xfca7a62f, 0xb6482279, 0xb7dfa232, 0x0acbbe5b, 0xde18655f, 0xdeebfc6a, 0xc2240c58,
+    0x1053b88c, 0x168edd04, 0xb41293b3, 0x20c7bea6, 0xeea27e5e, 0x8c0c7196, 0xa711382b, 0x0a18ed8c,
+    0x21cc4814, 0x3e1e7e01, 0x25890f82, 0x40e8096c, 0x8d69b246, 0x1d48b8d7, 0xecc71efc, 0xb7ee2bc5,
+    0xf8eb5127, 0x16e33d1f, 0xc224fa20, 0x4e078254, 0xf1e5fc95, 0xb1775d5b, 0x21a06f5d, 0xb0abbde0,
+    0x9e553dd7, 0x021569c0, 0x9d200238, 0x8dd64898, 0x46aa4348, 0x688bb1f2, 0x03f507fb, 0xeb360b12,
+    0x56636d7d, 0x8e545b23, 0x6add84d1, 0xaf54ffa9, 0xcd808864, 0xe4cc35a7, 0xd474e00f, 0x23cdb5ae,
+    0x1cabd2e5, 0x3b1020dd, 0x3b528158, 0x47d0e3a8, 0xe1c9b04e, 0xf97f1439, 0x16ac4f19, 0x32391fb1,
+    0x918c0239, 0xec0543e5, 0x3eda2d3b, 0x1a5f6c8f, 0x88bac6ca, 0x6a2bf5b6, 0x8e8f201d, 0xa94810e7,
+    0xa0223301, 0xc38e29f9, 0xdf7da296, 0x3f6bb691, 0x97e0ad5a, 0x91ac7a8f, 0x24f78d91, 0xdea3f972,
+    0x9363b1a6, 0xcdffd073, 0x58e90b72, 0x266f5471, 0x2ba1e3d0, 0xc74390fb, 0x70218cf9, 0x504677d5,
+    0x4209bf67, 0x229f97e9, 0xfc9051cf, 0x06c930a3, 0x07b88ca7, 0xad42fcd5, 0x5272915a, 0xdb89b507,
+    0x746413bf, 0x6732314c, 0x167180f5, 0x6c5bb4ea, 0x33b0689f, 0xee464a07, 0x4359154d, 0x4795963f,
+    0x6f598997, 0x5fdd4a70, 0xf7e89f2c, 0xe9e1b18e, 0x397a491c, 0x76ee183b, 0x3048b725, 0x8f368779,
+    0x9667e6ad, 0x0b74d59b, 0x11984c12, 0x4e6db993, 0x7f983908, 0x239c04fc, 0x2cff5af3, 0x87dd9ec6,
+    0x9dcdd77c, 0x4027c86c, 0xf3535382, 0x10a3c55b, 0x2bc28efa, 0xed768667, 0xc420d28b, 0x3ebd3d4a,
+    0xa0a3edcf, 0x3852e030, 0x29501bcb, 0x073f633d, 0xd737d82f, 0xd94c4047, 0x16665b61, 0xd5a0751a,
+    0xcc2602c6, 0xa0fa13dd, 0x2ed8f69b, 0x758b1532, 0x9a52dcc1, 0x15bf9d18, 0x80fdc4fb, 0xa0336b81,
+    0x42f2d0ac, 0xd7df89ac, 0x764c02f4, 0xebb8e619, 0xc8dedcbf, 0x8181986d, 0x0e5a5e2e, 0x9d40f92f,
+    0xc820636c, 0xbab8879c, 0x5db34fd0, 0x13c89bed, 0x7767196e, 0x9e75c9b6, 0x01cf1488, 0xdfc7e8f9,
+    0xa12705d4, 0xe429035e, 0xc27ac503, 0xce0666b8, 0x9f938693, 0xd43e6479, 0x0064c2bb, 0x011fb2ca,
+    0x66d0af13, 0x83615788, 0x7f25cbc2, 0xc7eb5b4b, 0x7b076925, 0x607e28b2, 0xc6425ade, 0x72ac94d2,
+    0xf07d2b4b, 0x9d9f8774, 0xb45990f2, 0xa952289b, 0xe0f7a678, 0xdd888fe4, 0x801c6768, 0x7b49955b,
+    0xf7134d57, 0x2153d74e, 0x8267d329, 0x6e2979bc, 0xcf95fb2e, 0x16f5ca27, 0xaee72c7e, 0xf73d521a,
+    0xc7f80b6b, 0xbbf4c366, 0xb1970066, 0xc3409d28, 0x53d96510, 0x8970fd48, 0x92ee5900, 0x6d170d2c,
+    0x078e7db0, 0x124dfdb9, 0xd7a3e306, 0x098b3c83, 0xe6d07441, 0x8c324f66, 0x4b5ae9cf, 0x7a52289e,
+    0x363f7656, 0xd926912d, 0x6fe1ca60, 0x0bf5242e, 0x925b6aa6, 0xe24d1b5d, 0xdb1c86b8, 0x43479c4f,
+    0xe6c10482, 0x04bf52cd, 0x98269e45, 0x86d61c17, 0xd0d590f3, 0x6035155d, 0xd084a740, 0xcd1a2169,
+    0x508df596, 0x290b2861, 0xb9f0d15d, 0xbdb8a47a, 0xd9b4d85b, 0xd922fbb5, 0xf74167ee, 0x8f3a4fab,
+    0x8b6677ef, 0x20de329a, 0x69350e77, 0x5670167c, 0x7dd8456a, 0x861805d4, 0xb48dd46e, 0x43ddd77b,
+    0x43a76c24, 0x7964e00e, 0x5f6cb27f, 0x69f8b161, 0x31430e9d, 0x555a04fc, 0x69aa3919, 0xa5df5eeb,
+    0x48600a24, 0x2936f15e, 0x30a89f4f, 0x834c285f, 0x1bdbac80, 0x8cf2bbe8, 0xcc7ef222, 0x28800242,
+    0xd85872b5, 0x064d81d7, 0x3efcc413, 0xdeb1a7f5, 0xb84e1995, 0xbf851b43, 0x0bcb5d8c, 0xb9f0030d,
+    0x39c557d3, 0x9144c1be, 0x21595f1e, 0xaf7b1bc5, 0xe73dd88d, 0x89a39323, 0xe549d1ab, 0x8fc62cd9,
+    0xea716661, 0x0a5d4afd, 0xc775b3f9, 0xa72b360a, 0xc346dd93, 0xaa4b2528, 0x35386ca6, 0xd584f9b7,
+    0xdbdabebd, 0xaecd8353, 0x1dc19767, 0xc393a2c5, 0x786b3bc2, 0x20e755fa, 0x6e951734, 0x3b1a83fa,
+    0xc306d167, 0x9cbf1a9d, 0xecd9fc93, 0x83e5d5e7, 0x84798dd5, 0xbd16ef07, 0xe89e7190, 0x64e15624,
+    0xf9e9159f, 0x945f212f, 0x4dce28e7, 0x88ed74c8, 0x93ee71db, 0x8bb87c77, 0xee907b26, 0xed7dca26,
+    0x0e2b35ab, 0x2a0cf117, 0x94e68e9f, 0x81794dde, 0x158b52b7, 0x6a3d62e1, 0x9bf21c90, 0x4fc29b9c,
+    0x89a003fe, 0x59e83e95, 0x9ae95c6e, 0x51a064ac, 0x6bff3e3b, 0x87390d7f, 0x0a7053b5, 0xc2b0a6d0,
+    0x5fc6c5d0, 0xd4c40b4a, 0xd0d3ca17, 0x3c196fe6, 0x42c9dfea, 0xe94f0c70, 0xb825a0ae, 0x2960b55d,
+    0xa43efac2, 0xf8f650a7, 0x84de243a, 0x37993060, 0x876cade4, 0xde538dd7, 0xf7d82b8b, 0x72e03070,
+    0x74771f1b, 0x77e1f20f, 0x3544793f, 0x7ef8d973, 0xaa410695, 0xb86e507f, 0xa37167e0, 0x80e87e91,
+    0x2caa03a7, 0x9fac752a, 0xdc57b778, 0x715a3de2, 0x7edc42e9, 0xeae48c46, 0x972440a3, 0x2d23e236,
+    0x6c2e33df, 0x574b72b3, 0x135957ab, 0x2051fca9, 0x10a21606, 0x5d50bab8, 0xf01e3dde, 0x57e35dd6,
+    0x90f6881b, 0xa4c5e42d, 0x5a3725c7, 0x04eb9474, 0x357977ab, 0xbb64b8a6, 0x3479521f, 0x2f9d76f6,
+    0xd6e242b9, 0x1e7f40be, 0x3ca8a26f, 0x189ac2a2, 0x01bfe319, 0xf1cc2abe, 0xb5668d12, 0x124ce367,
+    0x21e15e96, 0x2f3a4a98, 0x05168366, 0x0896985f, 0x425b97cc, 0x0d1685f0, 0xbb4c393a, 0xcab52a23,
+    0x923e9dad, 0x930412b7, 0xe6fa2ec2, 0x193f9fd1, 0x26f38813, 0x40b53e88, 0x4a8f32d4, 0x8e4bf1cd,
+    0xf4a10322, 0x5e5449b1, 0x94738007, 0xd9df8afc, 0xba0a8de2, 0x10156409, 0x2eafc545, 0xdf90dd3e,
+    0x18a296e6, 0xdd5f3556, 0x11b49c42, 0xc85853fe, 0xb86ab9f9, 0x9ac6fe83, 0x803ff53b, 0x22d3e6f9,
+    0x08fe7d05, 0x5c185d5f, 0xfdeff330, 0xefbca4d7, 0xb07efa66, 0x2f2ce32e, 0xfbe6ecde, 0x2f69bbbb,
+    0x38055533, 0x02e21fdb, 0x5967957d, 0x0b8b23c6, 0x267eddf1, 0x50f29bd5, 0x4b65715d, 0x23f6a9da,
+    0x433dc7c3, 0xadaf08d2, 0x1666fd38, 0x705d123b, 0xbb74611a, 0xbdead6d3, 0xd92f63dd, 0x63832f9e,
+    0xe1e177ef, 0x5b44b416, 0x0bc4aa83, 0x7c20dea6, 0x3857c4f3, 0x054fd50a, 0xc483e467, 0x9aeab72e,
+    0x37a40a00, 0x503f5d7e, 0xb587596d, 0xbe4c3cfb, 0xf858d86c, 0xeeb927cb, 0x1a43b331, 0x7e512800,
+    0x853f3a20, 0xb5932f80, 0x54c2d3a8, 0x57637f3f, 0x60005293, 0xa5fa5851, 0x16e5d128, 0x48cf784d,
+    0x35c87089, 0xef26897b, 0x487543dd, 0x789508e0, 0xf0c2cf67, 0x97406c8b, 0x2f541ab7, 0x2a81fde1,
+    0x0e632c81, 0x8e7eb138, 0x8dd45334, 0xf35e0819, 0xde5c6629, 0x974c1afe, 0x43afb9b5, 0xbacfbf93,
+    0x2c71ac80, 0xde8a12cd, 0xa85b0ba6, 0x74a31af9, 0xce46e57e, 0xa0f8f07f, 0x93f21053, 0x7183a4a5,
+    0x0631c846, 0x9fc03d50, 0x293cffc0, 0xcf2009cf, 0x94c2b68e, 0x6c7a1103, 0x238e0cf8, 0x2294d68a,
+    0xce12724f, 0x35958e72, 0x0c92580e, 0xa27ad582, 0xf216d988, 0xd71ec607, 0x2909e598, 0x66a585ee,
+    0x4d71cc06, 0x535988c6, 0xf1cd56b9, 0x0c193f3a, 0xec0d44cc, 0xe61959b0, 0x4edb3fc8, 0x47816dd9,
+    0x9301d94d, 0x6188bd6e, 0x95ed2864, 0x2c13f0dd, 0x834137b4, 0xf223ced1, 0x3e5ce70a, 0x35643cc5,
+    0x413b4512, 0xe2c5f692, 0x4136a1be, 0x330e4651, 0xa5881e95, 0xd1c12620, 0xc05d48f7, 0x772f97f0,
+    0x1c6beb37, 0xcb1a380a, 0xe80f4532, 0xa8c7dd59, 0x8f5d816f, 0xb57467d7, 0x62baaff3, 0x881a544e,
+    0xa8399788, 0x3f280bae, 0x59028143, 0xca43c522, 0x8624cea4, 0xc91fd44a, 0xe01b983a, 0xe608022f,
+    0xbbb26ad0, 0xa294548d, 0x605bf722, 0x2da1a95d, 0x1fe0631d, 0x93df84da, 0xa9d18c16, 0x8a87c333,
+    0x846b7fd8, 0x20513d14, 0xd04c7aba, 0x277b98e4, 0x518d3b05, 0x20e55fea, 0x83a0c923, 0xb18538ec,
+    0x0b6b3a24, 0xc48dabb2, 0xcc0d8985, 0x1df7a4f3, 0x7ba91842, 0x31a76cd8, 0xac389de5, 0x2557bcdf,
+    0xd24e9767, 0x3d9fdb07, 0x86c8cf07, 0x06dc681d, 0x92a85417, 0xaadbccda, 0x9d4c6a7e, 0xc9b536a5,
+    0xaf486a74, 0xdd725d4b, 0xee5e806c, 0x51f5f8b2, 0x51beb332, 0x2a91ff74, 0x48a9701b, 0xe3e4231c,
+    0xa1eb75ab, 0x4b99b120, 0xcde081c4, 0x1d2048f9, 0xa6433eca, 0xb11add95, 0xae6b2454, 0xcf8384f4,
+    0x992e9d59, 0x04195b06, 0x11df95b5, 0xf71ec923, 0xc8637abc, 0x9dbef6dd, 0xdd4ce35c, 0x10297fd3,
+    0x3aa488fc, 0x44fa48d6, 0xbadfd26f, 0x2a61eccc, 0xf9ed576e, 0x0404ff57, 0xf925fb4b, 0x64269644,
+    0x58341e37, 0x0fbf0092, 0xaabdf75e, 0x060e0054, 0xdb4ae4d4, 0x217b8a15, 0xd7e5013c, 0x80a51b13,
+    0xd3d4a75b, 0xbeb9e8ea, 0x83cbd2f4, 0x2a64b01a, 0x30f20826, 0x5cb2b197, 0x45b82ac9, 0x3e0404dc,
+    0xa87d885e, 0x985711ea, 0x74c4e383, 0xc53d44ee, 0x5dcc57da, 0x68b9476e, 0x5613190d, 0xc6190d4f,
+    0xca1026e0, 0xf2cfc494, 0x57a9373d, 0x4977e9e8, 0x5913906a, 0xcb67e2bb, 0x631d19dd, 0x58b8eb7f,
+    0x75cdff05, 0xd80d07c5, 0x5249cccb, 0xf7dcdc8a, 0x2c204c10, 0x196e9565, 0x82ac3154, 0x63d39359,
+    0xc3516ec0, 0xf60cc5c5, 0x57c2bcbf, 0x7fd7b657, 0xbc211349, 0x91359dcb, 0xd4df4140, 0x6be37c0b,
+    0x1ecd546f, 0x87e7d45c, 0x1d24b643, 0x126d1d26, 0xc4a83ac4, 0x5b67a90a, 0x838c9ca0, 0xa88b40d5,
+    0xea110cb9, 0xbc9bce67, 0xd2dcb9aa, 0xb4827dc8, 0xa46bc43c, 0x081ff41a, 0xbab91bf5, 0xb80df782,
+    0xc62950d0, 0xd51eef8a, 0xca7a5ea5, 0xaa0e2b99, 0xc0e6a893, 0x83af21c7, 0xe0b56f4c, 0x24c1500d,
+    0x4b3a9345, 0xb143300b, 0x154cf381, 0x8220494f, 0xffdecc13, 0xbf7846e7, 0x0c904d89, 0x892fdfd8,
+    0x8e1e0d93, 0x5473ff95, 0xe781c9e6, 0x8783007f, 0x270b95fd, 0xf35e9dfb, 0x3d17da2c, 0xc27f567e,
+    0x4ab41193, 0xf72daeb8, 0xed0729b7, 0x41598d92, 0x3165ba46, 0x37569f72, 0x88ca2323, 0x01439d50,
+    0xbce43cff, 0x73a151e2, 0xf7eeb7a8, 0xe8589e16, 0xc24c7fd3, 0x2981f0b8, 0xf6e4a24f, 0x6b5e1e91,
+    0xbd998eac, 0x8d405369, 0x22feb484, 0x11b94e35, 0x2c7f17ba, 0xe376c88e, 0x29088e53, 0x10c25696,
+    0x59e87ee1, 0x3e09a40f, 0xc881aa63, 0xd79a0651, 0x97dbe7e3, 0xa65831cd, 0x5a344ad6, 0xe5dcfc00,
+    0xa5e93048, 0x6ff45761, 0xe12eb097, 0x0be4c5c1, 0x5b4f406b, 0x7dd3f41e, 0x6e243259, 0x61b0da6d,
+    0x9f5d8f78, 0xda090c12, 0x3214c7eb, 0x67142869, 0x3b793ab1, 0xd5798aec, 0x15ba1150, 0x4560c0fb,
+    0x3b79c783, 0xc394da98, 0xf8382e64, 0x894419e0, 0x1c903b8b, 0xf6658c79, 0x6eda9982, 0x442907e4,
+    0x05ce9445, 0x7d190663, 0x2622b942, 0x16b8021b, 0xab9b754a, 0xd9e412c5, 0x0f2a1413, 0x193be9ff,
+    0xc2d12061, 0xc5264f18, 0xa03f72f5, 0x6c8fd195, 0x5f00bc75, 0xe701692a, 0x5ad7a70a, 0x8f5e05f5,
+    0xce2c80bc, 0x89becc2d, 0x9b80ee0b, 0x2de5d197, 0x20684611, 0xe5f64b3a, 0x57986daf, 0xb9fc5814,
+    0x3a6bc490, 0x711bdf2a, 0xe9c4f12e, 0x0cd6b781, 0x838832d3, 0xe81a012a, 0x45c71086, 0x1f5746bb,
+    0x90b11af2, 0xc257b95b, 0x3acddafd, 0x6fa0ffe6, 0x3cf2113e, 0x167f1383, 0xfda8c629, 0x8e8c0135,
+    0x157760d8, 0xb092fc2c, 0xa2b76750, 0x3c026f25, 0x6a4640db, 0xed6d3041, 0x3db1b02e, 0xe49d0bb6,
+    0xa6719203, 0x7243b30d, 0x295778ca, 0x005c7af3, 0x04e574e8, 0xaeb3cff0, 0x69968039, 0xb507b58f,
+    0x4df7be83, 0xc3bbf4b9, 0xd3158aea, 0xfff80515, 0x2d1f91fa, 0x686762ac, 0x0aae4d08, 0xf0cf0dd7,
+    0x4ed60b0e, 0x19a14c54, 0xb6df5544, 0xaba66f95, 0x21b9a5ef, 0x44d3d0a8, 0xf44a0b8a, 0xb1425a56,
+    0xcdcffa92, 0xf3286aa2, 0xf496abee, 0xb930be92, 0x10f47502, 0x85fbf864, 0xe2822c6d, 0xc1646cf1,
+    0x0b71f88e, 0xd856b2b7, 0x683910fe, 0x57322748, 0xfc367f2f, 0xa2f1668f, 0x2e4119ad, 0x28f8e195,
+    0xe1e11b35, 0xbff2c576, 0xb543dfa7, 0xfbc834d6, 0x27a00888, 0x9378516c, 0xe15bd806, 0x914092f1,
+    0x1395c3af, 0xe2795476, 0x52a5e8c4, 0x8151a6bc, 0xc41a32a2, 0xcfd65956, 0xcde7fee2, 0x24a179d9,
+    0xbae152cb, 0x62dc2710, 0xcdb0d7f1, 0xb0831b25, 0x62dde3bf, 0x210789ca, 0x12a73ff2, 0xef0acea2,
+    0x5a64e48e, 0x2796ab32, 0xd13c6afb, 0x8ca7fc6d, 0xd2d53708, 0xfe9ea923, 0x2508bac9, 0x13430363,
+    0x03e654ef, 0xc063b0e7, 0x638e4e9d, 0x4ea7f3e3, 0x52cc8b89, 0xc2d5faac, 0xca7bb332, 0x3ae02f9b,
+    0xf66ded8e, 0x733e3baa, 0x48a2902d, 0xab0ce939, 0x7bd783c0, 0x3dc46e36, 0x6625f677, 0x5b6f68ea,
+    0xc6d93e00, 0x49db49cb, 0xf02a512f, 0x5b3d2291, 0x27f2b4ca, 0x3ced8cc3, 0x15720409, 0xf13aa0c7,
+    0xc10ed11c, 0x3baab41f, 0xba5030d4, 0x32715ae4, 0x816e63d0, 0x6f889959, 0x50f73b46, 0x8d2ad720,
+    0x1659c0c3, 0x1fa23989, 0x96b544c6, 0xeacf2087, 0x27fc65ed, 0xd9af60a9, 0xe419807c, 0x3833b124,
+    0xafff7f3e, 0x4ee0527b, 0x7050eadb, 0x3a8f06fd, 0x06a33702, 0xa8223f92, 0x3fcc4fab, 0x21fcd7d5,
+    0x4be53588, 0xdca6e192, 0xe94c5605, 0xcec4b223, 0x9c800e40, 0x44769cdb, 0x7d97a475, 0x5f361f0c,
+    0xdf58a1b2, 0x0d34544b, 0x8a246d61, 0x7ee8dc85, 0xc099d204, 0x63c4e911, 0x55424b41, 0x7b6de58f,
+    0xfa02f7dd, 0x20fd5ea1, 0x168c0bf6, 0x769fc8a1, 0x082df3ed, 0x5cf0b503, 0x66bb35d8, 0xf49cbc5a,
+    0x37a11f8c, 0xe03ec36f, 0x006c39dd, 0xbc1aa89a, 0x8a038dd6, 0xf3fd1a8b, 0x38bccadb, 0xf4f9094e,
+    0xcbb083f1, 0xe5ce597b, 0x9ffee28f, 0xb644141c, 0x35fa9761, 0x4ab6dfde, 0x835e9a75, 0x863e0aa1,
+    0x7f194f2c, 0xdcf83e51, 0x40578f0f, 0x5959893c, 0xf2723182, 0x57cdf085, 0xcc23ac68, 0xa81c62c7,
+    0x443922e5, 0xb567b1a2, 0xc66ce54a, 0x79ef861f, 0x876cc46b, 0xc95d0a84, 0xa60ae0d5, 0x5a5d6869,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000040740719526689\
+                          72172536891376818756322102936787331872501272280898708762599526673412366794752 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9,
+    0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf46, 0x1e98be66, 0xbc085889,
+    0x00000000,
+    0xd2c45264, 0xb56d54a5, 0x5a6383a1, 0x9bd9a6b6, 0x822a0293, 0x2077a1c7, 0x066ffc36, 0x0fb6eda6,
+    0x44615f8b, 0xa87e6fd7, 0x0e2090b2, 0x9247f711, 0xe56a9b32, 0xa74acc8f, 0x53c44573, 0xebd4d8a1,
+    0x4abf4e68, 0xe46f64cf, 0x27e77c9d, 0xeb81a072, 0x7b3bfedf, 0x349fe652, 0x2b369ea8, 0xb544f311,
+    0x6bf3f516, 0x56ec401a, 0x02157ee1, 0x10d40391, 0xfc74b43d, 0xe55be7bf, 0x4cadee40, 0x669e200b,
+    0x0676bd30, 0x6b29ac8c, 0x338452d2, 0x3146944a, 0xb47efe3e, 0x66d44883, 0xc9f75563, 0x615b6b10,
+    0xa570cfe7, 0x953708c6, 0xe6e060bf, 0xc1a093f0, 0xb5970d4e, 0x0f80dd0f, 0x9147353c, 0x2959b4c4,
+    0xd0451b0d, 0xf0b33e43, 0x9718b88f, 0x5aad4119, 0x23603289, 0xca803e8b, 0x9c9d6002, 0x530c0dfa,
+    0x45360973, 0x11e4854c, 0x6df577b6, 0xbd2bb183, 0x105253a7, 0xcb320927, 0xd2432724, 0x0772ca57,
+    0x4d2eba46, 0xa4ab9e3b, 0xfb8527f8, 0x0e612fed, 0x7d64d4b2, 0x8fa2051b, 0x62ccec62, 0x679436cd,
+    0xc21066bd, 0x1eccb383, 0x33771234, 0xa4ded0a1, 0x5a585518, 0x27ea639f, 0xa336c0fc, 0xadf2f8be,
+    0xfab5b523, 0x9766a31a, 0x38c81474, 0x25ce76ad, 0x3a325b11, 0x95fd383b, 0xc2fe6d44, 0xee337ee3,
+    0x607bd2ec, 0xfd0dca7d, 0x70e6e488, 0x347db233, 0x3455e6a4, 0xb6e05ab9, 0xb16d288f, 0xfdbe0ba5,
+    0x736fadff, 0x62581cb7, 0xbc963d15, 0x450f082f, 0xf23e00fd, 0x21fe2ceb, 0x70cc2ed0, 0x554d92c4,
+    0x3f1fb025, 0x7a1bcbbc, 0x4df159a1, 0x147cf42d, 0x740e1d01, 0x687b085a, 0x4c460e9c, 0xaf87e6ac,
+    0xd9771d9b, 0x8caa0c18, 0x2d54f215, 0x7e1ee273, 0x20e27aa3, 0x02afc174, 0x8452a330, 0xbfcecc8d,
+    0xcfbc30ad, 0x4dde62f6, 0xe360cd32, 0x9b9a2a6e, 0x731650cb, 0x239e2e74, 0x0c40417d, 0x71e85639,
+    0x5a302900, 0x4b42643e, 0x67691406, 0xaf318d63, 0xad7d6f89, 0x40e3d819, 0xfa907cd1, 0x3b431348,
+    0xf7683589, 0x02d1bc47, 0xe0f67eb5, 0x3cffbcf3, 0xecce09f3, 0xc5fd4ffc, 0x65d4afc4, 0xd60b688c,
+    0xcd7f86d7, 0xe5978ae7, 0xdb3c7748, 0x7e0c81b5, 0xb18045bb, 0x52bbb2a2, 0x8a6a6008, 0x896ff73e,
+    0x9ab60c3e, 0xa45db3e6, 0x5249f176, 0xa6231091, 0xbd1b09c2, 0xf2dd7e02, 0x66d35f02, 0x21a773bb,
+    0xe2a3fca4, 0xd244a097, 0xecb17b4c, 0x2579a67f, 0x027ed75c, 0x3322e9bc, 0xc638f4b2, 0x4a9bf8c5,
+    0x39906529, 0xb8ebefc1, 0xf0d4850f, 0xc062c65d, 0x47ca33b3, 0x8f41db7c, 0xce2e3ac5, 0x8920af6b,
+    0xdedcf053, 0x453cecaa, 0x6157d55d, 0x4fdeea1d, 0xc047aa0e, 0xfe00d755, 0x9bf43fa4, 0xa05dd7c4,
+    0xb074fb78, 0x73bf848e, 0x2504fe15, 0x754558f4, 0xbad9d80d, 0x764351a0, 0x89f450fd, 0x15fe0638,
+    0x9ebdf1c7, 0x3e7f4abb, 0xd3168fbe, 0x51e59488, 0xdf9ca85a, 0x565a3da0, 0x70746862, 0xda2415fd,
+    0x1dd57afa, 0xc780eb80, 0x356a241a, 0x6d84c9ce, 0xc606a8f4, 0x4aff2c00, 0x86e6fe9b, 0x50846f59,
+    0xa2eb19a4, 0x3b48a75d, 0x8f7e1e09, 0x9a460062, 0xd9a05e68, 0xa84fe1a8, 0xb00f1903, 0xabdb12c7,
+    0x4c2aaf47, 0xb3ae4505, 0xfcbd6861, 0x9e6e2117, 0xaf3f67c8, 0xa816959f, 0xe3f4372d, 0xca86212b,
+    0xc9623ef4, 0x50b88687, 0x4ef1ed18, 0x6c4d2a5b, 0xfbf2e775, 0x7e795703, 0x9eee94bd, 0x8b985434,
+    0xb566d1f9, 0xd0e658f6, 0x0a0a956b, 0x31a70803, 0x894064e3, 0x9a6b4675, 0xcc3b7a78, 0x3130e44b,
+    0xf8c3eb10, 0xfcf4ae59, 0xf990f73f, 0x7e84d628, 0xc03f6407, 0xddfeac17, 0x01fc5ac6, 0xec52d46d,
+    0x266d6025, 0x2f8c6517, 0xb16e484a, 0x09800464, 0x5824f8fb, 0x40d8c414, 0x1912ab68, 0x65bb595a,
+    0x036350c6, 0xc622bf67, 0x82722185, 0x7ee22b2c, 0xd0539acd, 0x40ae17dc, 0x39a5c923, 0x996b9dda,
+    0xb8ca77c0, 0x1df70e06, 0x8f9b95ce, 0x7ddaa927, 0xd2288f29, 0x609d1d9a, 0xf3c2b804, 0x53e11b55,
+    0x0ee7a2f3, 0x51b46a0e, 0xf4539657, 0x632d517d, 0xc0f162fd, 0xe1e009d8, 0xf7c4eb34, 0xeeab107e,
+    0xad98ee2d, 0xeea582eb, 0xdb834009, 0x152ce8b9, 0xafcbe19a, 0x80f46cdb, 0x20365606, 0x445c21a1,
+    0xaee095bf, 0x3a89a96c, 0xcf06d7d4, 0x86d7edee, 0xafb1d587, 0x465644f9, 0xeb3b3108, 0x020f84af,
+    0x1dce7d01, 0x18b248d5, 0x6fb7b749, 0x828f5f6b, 0xf007022a, 0xebb875a5, 0x69ffa223, 0x199ed12f,
+    0x04e9ccbc, 0x1bc8fac4, 0x8cff808d, 0x76d94773, 0x647462eb, 0x47f9ad5a, 0xd27f8073, 0xca10fe8b,
+    0x6b955e37, 0xa9c6e90b, 0xbedbb6f3, 0x19b53ef3, 0x00718de4, 0xa031ae84, 0x1a82aa41, 0xc868da9e,
+    0xdecd32de, 0xdb524997, 0x5fcd6475, 0xb4bc57e3, 0x5cb44872, 0xfbbd77b5, 0xd0e9713f, 0x89290a8c,
+    0x691d09e4, 0xd92428ea, 0x2fd1a4d3, 0xfa1f28de, 0xccb1ea90, 0xc44335bb, 0x49d57ffc, 0xdacf7f4f,
+    0xe90ab1e4, 0xc29ea29b, 0x58fd2d56, 0x078320d0, 0xd09789b4, 0xafe6fa44, 0xda894124, 0x3b156241,
+    0xfc198b60, 0x3dde741d, 0x161e8d27, 0x55e34502, 0x7d1ca0a9, 0x2f98ce67, 0x897d3bef, 0x8c59d624,
+    0xe46a3b2a, 0xf1ea2790, 0x651a49e5, 0x5027f413, 0x32210aaf, 0x36f6ceb6, 0x08eb9b1b, 0xc523403b,
+    0x19c940de, 0x5fd2a23d, 0x41da0efb, 0xbc98d4bc, 0x14fc62c5, 0x025eaac2, 0xf8b05803, 0x24be1ec3,
+    0xc43bc4e0, 0xb50ad0e7, 0x0fdc7927, 0x37ccd8c8, 0x969ea0dc, 0x895c9cb7, 0x3bb29cda, 0xfc609627,
+    0x4fbff0c5, 0xd33810b2, 0x23ddb5be, 0xa55a0487, 0x609a424d, 0x3af64dd1, 0x07b426fa, 0x5865c2a1,
+    0x77b22e99, 0x75983ccf, 0x56554fb9, 0x94e801bc, 0xd6af700e, 0xa9aa3409, 0x7a5242fd, 0xe808da52,
+    0xcbc80313, 0x69e6a1ae, 0x4bfeec40, 0x8b5d1997, 0x1e7a74bd, 0x08a1a5c8, 0x314ed39d, 0xaa87fc27,
+    0xa6d985d6, 0xc996c3ed, 0x8fcc5c44, 0xd8f09d8c, 0x645eec6f, 0xca71c558, 0x7c407e09, 0xc9e2a5e0,
+    0x52d88ee7, 0xf40f9f5d, 0x907671fa, 0x40af2264, 0xbceb67d1, 0x958b9494, 0x8ca1fb93, 0x8f335b7f,
+    0x7d85a23c, 0x51298f6f, 0x4c59fb0d, 0x4cc595da, 0x8f8bf5e5, 0xf9d70efb, 0xab14ac67, 0x8cfe3f46,
+    0x4af6bdb9, 0x420a1dc4, 0x9e983be0, 0xb52793b6, 0xde064df8, 0x71d71011, 0xae27685d, 0x0787364b,
+    0x2cb45239, 0x2135be43, 0xd615a846, 0x25fa861c, 0x49e09e3b, 0xb6427ed1, 0xa9591ce9, 0x0180aaf1,
+    0x5304e3b9, 0xe60a4e8d, 0x42f71c6c, 0x933a4a35, 0x9cb242d7, 0xac4c6d36, 0x3f6bbe62, 0x5729fcea,
+    0xe5242254, 0x28d2ffb7, 0x6907165b, 0x8e845d43, 0x011b724d, 0xa86a5d7b, 0x8e7b4108, 0x4ec0d123,
+    0x75997732, 0x491c7300, 0x205a6d5a, 0x0dc87b42, 0x664c5d83, 0x5d0acf04, 0x47d12a75, 0xa938d67d,
+    0x6c20ff03, 0x9769b4f4, 0x12bc4abb, 0x96a37f5b, 0xbc472b38, 0xd5f91d4d, 0x04c599d4, 0x66680a09,
+    0x7dae91e8, 0x96638b5b, 0xb50213d4, 0x4bd98820, 0xa74a3c2f, 0x3c8b5b64, 0x7ca6e5d6, 0xeaad8179,
+    0x646bef85, 0x0470ef0d, 0x2545d24d, 0xafd305d0, 0xb7a40c92, 0x59a69ea6, 0xd8bcaf47, 0x6ab3ff49,
+    0xb2d4d33e, 0x88978c12, 0xe6994cca, 0x783bf97f, 0x2dadea1b, 0xa35647e9, 0x68bc23e9, 0x63511137,
+    0x96c8acbb, 0x5bc047d9, 0x6d1b3a18, 0xa5344f6d, 0x574db97e, 0x376f92a6, 0x5ac88074, 0x727385b9,
+    0x33347e99, 0x72f0185e, 0x34d2b521, 0x4a46e052, 0x79b00c50, 0x3eac5e70, 0xb862da37, 0x91164a52,
+    0xd521fcc2, 0xcf87d4c5, 0xd56ff60a, 0x9d261eeb, 0x4041dd5f, 0x95a75f72, 0x7a67af5c, 0xddeb65db,
+    0xfda69336, 0xa5603c4d, 0xc2406cf9, 0xf1b77fc6, 0x68eb976c, 0xe1f272c6, 0xc3b27b88, 0x1f08bd78,
+    0x474abc49, 0xe030ffee, 0xb0185e17, 0x499e7dee, 0x87cbf8d5, 0xff9ced44, 0xc89a6418, 0x90e8c899,
+    0xc303484f, 0x7b131278, 0xd3eee68d, 0xf6d6ff93, 0x22a84ed4, 0x62919e9c, 0x647ada90, 0x2c66ef09,
+    0xa68f7311, 0x20b353c3, 0xc408df77, 0x06d01e00, 0x811eed3a, 0x542836a8, 0x5e3290af, 0xd3c79608,
+    0xf88c7d91, 0x7db63bb2, 0x49a45300, 0x2c29b63b, 0x75d4c49c, 0xe10e77c2, 0x6ee1d4b0, 0xf130c215,
+    0x7166a4cd, 0xa22d3354, 0x15e760e5, 0xf86a4552, 0x46faa8ba, 0x5822201c, 0x06acecc8, 0xab78a0bc,
+    0x422f05bb, 0x78e83a2a, 0x8032d92b, 0x6c7420ab, 0x3f03fcb4, 0x562a9d96, 0x595cd807, 0x37c76024,
+    0xa2660291, 0xebec9354, 0x5081ba6a, 0x61310782, 0x3bf59b13, 0x3094efe9, 0x9abb4b89, 0x9d519f48,
+    0x7ddb913f, 0xd0ccb41f, 0xebe359f2, 0x4b6d8250, 0x38aa0ad2, 0x9adce45f, 0xf032067a, 0xe1de84a7,
+    0xb7dc2405, 0x108c3b1e, 0x87121247, 0xb9a2a7ca, 0x828b2432, 0x4dea7139, 0xad763326, 0x2982f7c5,
+    0xde81e21f, 0xf6f64af2, 0x08a32d4b, 0x15e31bcd, 0x2fc56600, 0xffd5c3c7, 0x86f42d58, 0xbe509d8f,
+    0xf9be681e, 0xede3553a, 0x8ed83165, 0x258f9731, 0x4fc972bf, 0x94eefa32, 0x1010a00a, 0x40553fe4,
+    0x29360c8d, 0x586d250c, 0x2723b000, 0xb08b5809, 0x5522625c, 0xf4c2d7d7, 0x4023611e, 0x951633b8,
+    0xb2181f12, 0x27967def, 0x2dbbc89a, 0x39edd9f5, 0xd86f9976, 0x1579acc0, 0x6404adc6, 0xa7c037c6,
+    0x0e23581f, 0xcf4e5227, 0x38f2f59e, 0xf9a5f161, 0xbba8aeab, 0xdae609a0, 0xebea7a12, 0xbcb0cae0,
+    0xfe7b2dd1, 0xa4c444c6, 0xcf6c7134, 0x892d1262, 0x4bf291df, 0xa6709e93, 0x375b0655, 0xecea0973,
+    0x71f3f7d6, 0x570e08f2, 0x805b8cdb, 0x69fc53c4, 0x8ae22fe2, 0x827813be, 0x1fc80344, 0x7a8d62b2,
+    0xe30a69de, 0xe81e6b6a, 0xc05c2bb5, 0xae1d9e44, 0x924b1777, 0xe1b446b7, 0x853aa02d, 0x512cdb8a,
+    0xf1bf8767, 0xfc8a417f, 0xdd534f4e, 0xc8e1f2a8, 0x1879c415, 0xd8d02edc, 0xb7141ef6, 0x13c2d8d4,
+    0xe8b190b4, 0xb8e17457, 0xea0b6919, 0x28157c2f, 0xd773ba17, 0x65a1333f, 0xe2d7f5cc, 0x1d4e2bf7,
+    0x965d7d7e, 0x3a336091, 0x37d7eb82, 0xa99ee31f, 0x3eb739e5, 0x00c88dd1, 0xd031af24, 0x7318849d,
+    0x04d73544, 0x7a9a322d, 0xb8eb96a2, 0xfb1da495, 0xf042458e, 0x09330bdc, 0x97fac01a, 0xbea6435c,
+    0x7b53c774, 0x5b26e7af, 0x7ebe0bee, 0x59788110, 0xe47160d9, 0x190572ab, 0x5cde7dfa, 0x2873c7d5,
+    0xea8ddff1, 0xf4bc009c, 0xa92c837a, 0xe6f2b3c1, 0xd13e0508, 0x739cddeb, 0x6f03546a, 0xea92c078,
+    0xb791e55f, 0x918bf3b0, 0x8f52ec11, 0x0aca4311, 0xee3fa0f2, 0xf6870236, 0xd1c4b89d, 0x1c6fc2e9,
+    0x75ed3429, 0xbb59db7a, 0xfcb6d00d, 0xa5d3d065, 0xdd2aa994, 0x4396a3c6, 0x86bad827, 0x7e8e39e2,
+    0x758c9663, 0x275aca08, 0x9ed6f508, 0x66c1639c, 0x3b43bed8, 0x3142a9f2, 0xb12d03ee, 0x7630e814,
+    0x704e056b, 0x7e18a769, 0xe32600ad, 0x617c1150, 0x80bc07cb, 0xb705be4d, 0x882ca9af, 0xabdbdfc5,
+    0xabc4f5e7, 0x106dbe01, 0xad311445, 0xeb99ed5b, 0x371ff8e2, 0xa7755733, 0xe49106c1, 0x3ef19174,
+    0x729eb82f, 0xc75cdd5d, 0x77e6c40c, 0xb73c4ace, 0xda46fec3, 0x65c33daa, 0x6237a15d, 0xf6752767,
+    0x125e48fa, 0xe337337d, 0x393291cc, 0xfa422cf5, 0xfc7be40c, 0xaa9146cc, 0xc713cda6, 0x11e1e0b1,
+    0x0f9a0ec5, 0xd328af55, 0xed5bfe73, 0xfa0698d3, 0x4f83e0c2, 0x99bf3f69, 0xb2dd9704, 0xd5b38ed4,
+    0x9279e0a0, 0xf30c09a0, 0xda5e9674, 0x53d37a56, 0x13e68753, 0xaf26bc60, 0xd9330c15, 0x0aa5a953,
+    0x45a060da, 0x53dddfbe, 0x50f9ace4, 0xcb17868b, 0x4c40efbb, 0xc0dc8f3f, 0xfb332e0e, 0x07aaca46,
+    0x40cd5854, 0x4bcbda59, 0x0c061a20, 0x2a81d06d, 0xcdf6545f, 0xa1e5cc3e, 0x1fc88379, 0xe45f97ba,
+    0xa8af2d0e, 0x4da28558, 0x5397f069, 0xd6bacb55, 0xb7754e57, 0xe58d8903, 0x71d0cb7c, 0x10bd2e1a,
+    0x79623165, 0xd1fe37fa, 0x95061080, 0xf45e7620, 0x31ef8066, 0x6ac7716b, 0xc64b7052, 0xf79db762,
+    0x24cfec7a, 0x73f732d8, 0x28560442, 0xa12d4137, 0xe3f0a936, 0x9bd43a99, 0x635c7398, 0x48f5e810,
+    0x452bf7ae, 0xe88a2a6b, 0x9b32b3a6, 0x89b85edc, 0x6b0fc96a, 0xca95f7c8, 0x24be5d4f, 0x14962115,
+    0x2a457a99, 0xf5bc58a2, 0xcb6356bf, 0xf757e741, 0xefb1bce1, 0x3bb1d973, 0xd2530d96, 0x6686b013,
+    0x0e96c908, 0x9ae5e815, 0x4f5e741c, 0x63afcf33, 0x9e710796, 0x8b0302c7, 0xe0a4474b, 0xa7d8afb7,
+    0xb398a389, 0x4211026d, 0x1cef9b77, 0x4651e594, 0xf1096a2d, 0x1fc91471, 0x2438a450, 0x8e3b6c00,
+    0xcd7fc3e1, 0xc7bee5ee, 0x8c6019ec, 0xd743e396, 0x3478c8ed, 0x8fdd5abe, 0xa9c23888, 0x78aa091e,
+    0x06f35230, 0x05aa0adf, 0xaed104a5, 0x2dda34c4, 0x70cd5d17, 0x6aa4970e, 0xb214e325, 0xd551b54e,
+    0x44a47a5e, 0xaf7ca25f, 0x977cd457, 0x3965c3d2, 0xfbdda0d7, 0xd857196d, 0xd12cbbc5, 0x823dac4c,
+    0x20297df1, 0xa3725774, 0x6741dc46, 0xed243942, 0x739fc1dc, 0x7521879b, 0x852b5ee1, 0xd52fad3b,
+    0xdfc46230, 0xbf99ed23, 0x3e3ead2e, 0xe63975b2, 0xc5652423, 0xcbb37e3e, 0xf6ff719b, 0x25e44d35,
+    0xbfd70bb0, 0x834ff82a, 0x604331c1, 0xe4682278, 0xc82d31f3, 0xf9ab47eb, 0x706cb33f, 0x22ad2642,
+    0x8591354e, 0x4a595bdd, 0x3311f62c, 0xd4493dc1, 0xb7db8bb8, 0x4be31a86, 0x7a268cef, 0xb25d5dc1,
+    0x48c9b719, 0x83df465f, 0x1c707196, 0x17115171, 0xd7033899, 0x3345973d, 0x8bf2c126, 0x03ee31c2,
+    0xc222e751, 0x69acd3a6, 0x8277330a, 0x5d1188c9, 0xbe14f257, 0x4efd7469, 0x5b46935a, 0x860aa4de,
+    0xbbc09041, 0x25a937fe, 0x3fce838e, 0x3bf511a2, 0xa611c75f, 0x997f959a, 0x54b87944, 0x1156dd86,
+    0xe482ca3c, 0xe5df8813, 0x47bfb1e1, 0xf1f54304, 0xc8c69406, 0x24c8811d, 0x1eb9cd0d, 0x68a6c012,
+    0x1c99b72c, 0xc1b939d3, 0xbe36a543, 0xb0e44ce7, 0x29c53cb7, 0xb07b776b, 0xbb68ae76, 0xc640954c,
+    0x690a1942, 0x14a20b35, 0x70716f8e, 0xc368b65d, 0xaa1adebb, 0x55b080d3, 0x5d3d4d2b, 0xb41e27b1,
+    0x9a2da2dc, 0xc2e33314, 0x116ee4b1, 0x9bbaf337, 0x08c50c9b, 0x2435cfb6, 0x71274e9d, 0xdd3113db,
+    0xa5ccedca, 0x3fc9e125, 0x83d41a2b, 0x758778f0, 0x77c4b0a7, 0x767802a3, 0x62e51885, 0x61787282,
+    0x87535115, 0xe747724d, 0xfebbdaea, 0x4744a448, 0x3ee7c979, 0x7a751d59, 0xc5c5e41f, 0xa991f0ec,
+    0xb6f7a2d9, 0xae416c15, 0x65db0875, 0xea55b3cb, 0x6fd35d3e, 0xb166f322, 0x882f5bb0, 0x6286a892,
+    0x22c4bb56, 0xf693faf1, 0xf6707b4b, 0x3aa16500, 0xa46ee475, 0x62b1b088, 0xccbf7032, 0x2079baee,
+    0x7b13762a, 0xee0b9339, 0xe16d7a0c, 0x0e5909db, 0x265a3954, 0x70820deb, 0x7f246319, 0x2b4f80c4,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000020370359763344\
+                          86086268445688409378161051468393665936250636140449354381299763336706183397376 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c,
+    0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa3, 0x0f4c5f33, 0x5e042c44,
+    0x00000000,
+    0xa44013a2, 0xc16d9239, 0xb1ceb1b3, 0x0aac8d5f, 0x04399512, 0x9f71fd4e, 0x229a5cc3, 0x8430adc3,
+    0xbf0b2c6f, 0x309c1207, 0x8194968e, 0x811bebca, 0xcbb31bd5, 0xf300d76e, 0x45fca5dc, 0x1be9af41,
+    0xbc29d63c, 0xf698142f, 0x8cb59386, 0x8a4e2f8a, 0x8edc5561, 0x157fa68e, 0x76500ba4, 0xa4f80be1,
+    0xa6571540, 0x1250d840, 0x4b14c328, 0x7e634984, 0xc3a71fb1, 0x6791afca, 0xab997859, 0xc3dc3721,
+    0xa5cf4187, 0x7b5eeeee, 0xd2d42a56, 0xa6098389, 0x92600a09, 0xac2702ec, 0x6865991f, 0xc285cd05,
+    0xb70ab3e3, 0x6f954132, 0xa35c0984, 0x25c184e8, 0x32349969, 0xe3f5d639, 0x2c7382c7, 0x7416da6c,
+    0xf057f2f5, 0xac6b64fd, 0x3a7d2927, 0x7cab21fd, 0xba2e0d70, 0x744259c2, 0xd1725557, 0x73d73e1f,
+    0xa034079c, 0x6f55ffaa, 0x93579dbf, 0xe4570830, 0xc805071e, 0x1e9fe853, 0x39ba33f2, 0x54930a1e,
+    0x5bd93319, 0x74ebab3c, 0xbb7f6c83, 0x1a0533a2, 0xa377ed10, 0xb77137a6, 0x1d0340f4, 0x7789b83f,
+    0x1e36700a, 0xc54f0af5, 0xfa5361fc, 0x845711b6, 0x54f9b84c, 0x27a51c7a, 0x173c3ca9, 0xf677d983,
+    0xc47a5920, 0x1c6bf09a, 0x6502a0ee, 0x7c8f05c2, 0x5c84d865, 0x7588be9b, 0x86ef172d, 0x937a9886,
+    0xdf21aef8, 0xe13791b7, 0x4c1cc256, 0x8043a5c1, 0xe8b45277, 0x5b25b875, 0x26a13a5f, 0xbb74bd83,
+    0x1ea0deb9, 0x32e8441d, 0xcdd12782, 0x7759da44, 0x6373d1ae, 0x2393fae2, 0x9d547096, 0x0b5edd21,
+    0xa7ee83ac, 0x43012787, 0xa3cf7668, 0x665176f5, 0x7cd3204e, 0xd99fd805, 0xcbf89b45, 0x9c9c2838,
+    0x86fecaaf, 0xa7e2e422, 0xbf400597, 0x9019eec5, 0x34cc6cd0, 0x797ecfe9, 0x996c2bfd, 0x5f59a13f,
+    0x7ee9f641, 0x9fdcc52e, 0x7faf6f3c, 0x2bacde66, 0x49fd04ab, 0x47bcb599, 0xc0568a4d, 0x8edf4aa1,
+    0x7446318a, 0x4b7da933, 0x822d82a5, 0x9476146c, 0x0aad12c7, 0xc3561aa7, 0xd4f4566a, 0x24c87bf5,
+    0xafe48389, 0xc8b2d4f5, 0xf9963306, 0xb77104c1, 0x3b44d561, 0xf782033a, 0x1a58897c, 0xdcb38db3,
+    0xb87974a6, 0x7ad89ae2, 0xbe62d892, 0x793a2213, 0x6ed58859, 0x81108de3, 0xee551db5, 0xfab2278e,
+    0x34e4f34d, 0xf9e0b3fa, 0x15e84237, 0x51984aa3, 0xad57d8dc, 0x8155905a, 0x28d32db9, 0xf255638e,
+    0x0699ad35, 0xc917910a, 0x53ba43bf, 0x39d201b3, 0x760b567d, 0xebbd317b, 0x7a7c5b74, 0x21430495,
+    0x898e94e2, 0x435a5f7f, 0x85a6b3c3, 0x3600c678, 0xce5520a2, 0x2de0fa56, 0x7badf10e, 0x46e8d61d,
+    0x30a404ef, 0xf75fec8a, 0x70e93f93, 0x2633d6e2, 0x73e1906a, 0x333eb676, 0x38219c57, 0x9ec63c62,
+    0x8a6199ee, 0x0fe594bb, 0xf9df5778, 0xf16c3590, 0x23d57a99, 0x4fd2364a, 0xa0b1666e, 0xfe058fdc,
+    0x2680c9ef, 0x247eade2, 0x69a5d05c, 0xcaa13cf6, 0xf3ff932b, 0x71bbf974, 0xe36ac06a, 0xdbd600c3,
+    0x3a2d8302, 0x024cad5d, 0xdfe06f05, 0xbf11bca4, 0x206cdc5d, 0xd9d3c5f3, 0x80cf92e2, 0x334e8194,
+    0xc7a7373d, 0xc15689d2, 0x42150043, 0xc090f71c, 0xf982197f, 0xac9f3716, 0x09e11245, 0xeb7cd65e,
+    0xaa45feb4, 0xc445c801, 0x0e3dd88f, 0x91dd41e2, 0x662322ea, 0x9ea95b47, 0xcf3eefec, 0xbda759f6,
+    0x631e0ac7, 0x230764b8, 0xca4e8307, 0x1742a540, 0x9a5d8926, 0x259a8759, 0xbfeee164, 0x21855137,
+    0x72293b6b, 0x72c10345, 0xe01a5b37, 0x39d710d6, 0x9faa8e1a, 0x558df085, 0xcfd1e33c, 0x3d483b58,
+    0x38de0744, 0x7bca0456, 0x3bd9d2e7, 0x4fb24709, 0x14f99b49, 0x26ce5897, 0x03625f40, 0x5de71e2d,
+    0x045b47e7, 0x4ced0cea, 0xf6d98407, 0x00561172, 0x0c1caa48, 0xbf465aaf, 0x15c3c0b6, 0xc81fe6d4,
+    0x6cc65582, 0xa0479cf9, 0x34642c01, 0xc3b2ee4b, 0xa95bc77d, 0x206ef0b2, 0x5db97c54, 0xb8765dba,
+    0x131d0502, 0xc54a8c8c, 0xe8c7297a, 0x6985ba25, 0x3955a042, 0xb7ebf26a, 0x3f7bf965, 0x44fdff5f,
+    0xe261277c, 0x7ff2dbed, 0x98a5ee9e, 0x208c19ef, 0xdd329a18, 0x6ca05d4d, 0xde8c5d4f, 0x4ff0f7e5,
+    0x45b049c2, 0x1760d366, 0x93106f07, 0x40e0c856, 0xb8ae68af, 0xea38810f, 0xa5aa5c56, 0xdd41134d,
+    0xf7556b72, 0xa481c5d9, 0x31f4e023, 0x97417140, 0xc78d8160, 0x5499e31f, 0x47d241bd, 0xb2adb4f1,
+    0xc1a5970a, 0x643c85ca, 0xa2c4ebfa, 0x9516daab, 0x0b6eb68a, 0xa5193574, 0xe2625305, 0x825afc82,
+    0x3c6d4d91, 0x3c782502, 0xe7aab9c4, 0x53ab84a5, 0x2cceebbc, 0x2f973f47, 0x0fe93956, 0x0536f0c2,
+    0x9a2964f2, 0x4b3fe31a, 0x190c11c1, 0xdd1909de, 0x322780b2, 0x993d52ae, 0x9d3254f4, 0x06efabb6,
+    0x10b34272, 0x22913783, 0x463d97ae, 0x3b6dbca4, 0x255b6c15, 0xe42332d1, 0xbf36aeb3, 0xe9897c2b,
+    0x15966f68, 0x988c9e67, 0x01611c1f, 0x544ed570, 0x5fdb4a84, 0x2829b5aa, 0xdf4a654a, 0x2e039ad7,
+    0x49f23129, 0x8362dc41, 0x5b2342b9, 0x3ecc88ce, 0xa4ac9c45, 0x48dfab8e, 0x9bac834b, 0x99b8f838,
+    0x2454abcc, 0xc1aed13b, 0x9a02dc1a, 0x14c89984, 0x77adc500, 0x0e6cfadc, 0x382585ab, 0xca238695,
+    0xff1ae378, 0x222a6c3f, 0x13b50630, 0x05547a86, 0xcb9fd828, 0x4a572b77, 0x6ebefb1d, 0xa00c8812,
+    0x89a9ccd1, 0xbc6836fa, 0xb2da399e, 0x07cffc04, 0x8275cb03, 0xdfc5b497, 0x42b419e2, 0xdfed06e5,
+    0xe2fd3444, 0xc520bd80, 0x15cf98bf, 0x7c872ab9, 0x5bd68d52, 0x2bb38542, 0x99f9a91a, 0xe13378a0,
+    0x6cbff0fb, 0xbc3f8fea, 0xdcb89fa6, 0x9998d886, 0x50306df8, 0x4d60168d, 0xa3d59fc8, 0x74374a85,
+    0xc1f51236, 0xf94d1c02, 0xf5c2e771, 0x0235e03a, 0xd93c526f, 0xe767aadb, 0x81992978, 0x303b7cfd,
+    0x6cb30218, 0x46d2effc, 0xd0051f51, 0x439f018b, 0xcf20c7ec, 0xb13024de, 0x70687004, 0x3595eaba,
+    0x3933f43f, 0x26918d26, 0xb117133b, 0x17875eb4, 0x076c30c9, 0xd81b4968, 0x5f90a62d, 0x2dabaa1e,
+    0x9cab2da9, 0x29dec35f, 0x69c9b3d3, 0x69ea4797, 0x59ac299a, 0x9444104f, 0x4979709f, 0xe09d953d,
+    0x4b61e86d, 0x2a3d59e9, 0x6f1ec526, 0x4921cd07, 0x72cc228b, 0x6cf06887, 0xa5737c41, 0x8bfd3dd1,
+    0xa338092c, 0x855956b9, 0x94d39c9d, 0x05692785, 0xe2f3de41, 0x1484de2a, 0x43d11b1e, 0xecdb899b,
+    0x154b5fb0, 0xc4293064, 0x41c34f12, 0x9ba81c30, 0x54341062, 0x97e89a4d, 0xf3fa15d5, 0xbdb51d81,
+    0x0a1baed5, 0xb24f1861, 0xe633e63c, 0xa5e3f4fc, 0xcff173e0, 0x5411f1c9, 0xe2bd48a9, 0xb6e040ef,
+    0xac1f4157, 0x055efc41, 0xf3a5b169, 0xc74088ed, 0xdb193381, 0xff7da8e1, 0x5e7649f0, 0x265ab4c3,
+    0x1b0ea39f, 0x79b4f07a, 0xbfbed000, 0x9a898b7b, 0x1c228f64, 0x8735c962, 0xb44d901d, 0xc088949b,
+    0x6780bd26, 0xbf4e9dae, 0xb9c3afce, 0x3c35f4a7, 0x4a43b37e, 0xa3aeb9f8, 0xf671f166, 0x68073b98,
+    0xed95e933, 0x9b9966c0, 0x92724684, 0x20241444, 0xf79426a2, 0xa17e7d9e, 0x41359514, 0x5ad8798e,
+    0x8b5422c0, 0x981d7b20, 0x1f86356b, 0x647a2452, 0x6fdacede, 0x568a1f7d, 0xc6232438, 0xbbc80cdb,
+    0xb1550d49, 0x5d3a5376, 0x8d7bafa0, 0xa2b6637a, 0x9e5d0ead, 0x27dbe669, 0x63777772, 0x252aa876,
+    0x5cd8307e, 0x81aff659, 0x9db6335e, 0xa09b3f30, 0x644f6a71, 0x877b3cd3, 0xf2e0a365, 0xead97950,
+    0x565e97a0, 0x12df05d2, 0x879d37bf, 0x2d3d86cb, 0x4f26292d, 0xbb6c87d7, 0xa4d00ac9, 0x7cbc9c95,
+    0xc15df373, 0x41ce34c1, 0x336c10fb, 0x2ba220a1, 0xa9df69be, 0x1e87def9, 0x5a178a28, 0x024d1015,
+    0x2f2595f2, 0x0e386846, 0xe0c104c1, 0x5d2f31f0, 0x7ae5a780, 0xa9be0c70, 0x90970beb, 0xa02858c8,
+    0xca2d8674, 0xa45a379a, 0xce12eb6b, 0x834098e8, 0xd2ca318e, 0xd9fa34da, 0x88007333, 0xa3cb6daa,
+    0xd9badffe, 0x3d49e541, 0x2281417f, 0xf4a58629, 0xdb1a0e00, 0x75aef9bc, 0xd4d6781e, 0x8c958a54,
+    0x55197810, 0x91a224bc, 0x6beee8e0, 0xe6b6a43a, 0x9121bffd, 0x5507d132, 0xaa69cee6, 0xba203187,
+    0xe4b3a274, 0x15ded734, 0x8a59a07a, 0x1d3c1efe, 0xa88178ef, 0x905a2b3f, 0x11b6af35, 0x1ab2570b,
+    0xc3ae13d2, 0xe670f8f3, 0x40003529, 0x31fd828f, 0xa8dba118, 0xd3bf2207, 0xa410bd6c, 0x65d10da6,
+    0xa42ef4fe, 0x17697ef3, 0xa261e8cb, 0x91a62f5b, 0xe0451a00, 0x794db16c, 0x6975c39f, 0x65882f78,
+    0xfc8b6344, 0xa6f0950c, 0x81345cb2, 0x842ca21c, 0xaeb350ce, 0x32637d04, 0x95272c11, 0xd2a51cdc,
+    0x537b6d99, 0x7c1d6858, 0x4ddd0d1c, 0xac250f14, 0xe6d342d7, 0x79d2bf4b, 0x9555e873, 0x9c65d507,
+    0x55cd4080, 0x028db49b, 0x18bbeab5, 0x7f787ea6, 0xc3c90a48, 0x395c707f, 0x6a6790eb, 0xd3c2fcae,
+    0x8d8cbb0a, 0x286f4431, 0x768a636b, 0x68fb3c49, 0x76e1f652, 0xad6db1bf, 0xfb4e4808, 0x6a6172fd,
+    0xa0d5b9c9, 0xf4315633, 0xe1b21c89, 0xe94d2591, 0x309c64a6, 0x39515e87, 0xe85ac139, 0x9791c058,
+    0xa683b25e, 0xbc206e84, 0x16d14497, 0xa3f61fec, 0xe4bf3464, 0x1c406a54, 0x923c038c, 0x310f1613,
+    0x9e76545e, 0xa0bf8b08, 0x0df5bba5, 0x6d4514b4, 0xfb008ac7, 0x01cd1273, 0x637e89b5, 0x0329fa01,
+    0x86c53a6f, 0x2c2dbfa8, 0xc21a1ae5, 0xfa21cff4, 0x45047513, 0x8e40c1ae, 0x4faa6888, 0x502b2d57,
+    0xc12c7071, 0xd838613d, 0xd714c79a, 0x4ea01e80, 0xa8e0a9ff, 0x990e8f0b, 0xa55c33f7, 0xa65c7c63,
+    0xcae5b8f5, 0x075141b1, 0x532c1615, 0xd4646595, 0xcbb07c40, 0xe790110c, 0x776baf09, 0x85c8038d,
+    0x17ce1b10, 0x7d19a4f9, 0xe24e642e, 0x7e4b4efa, 0x2783a9c0, 0x22393850, 0x8b3ae168, 0x40318c1a,
+    0x74605f73, 0x54ba5132, 0x67b42c7c, 0x019216eb, 0xef10c61e, 0x1b75f3d1, 0xe4b84333, 0x9bc4e715,
+    0xd691cfce, 0x45a3d04c, 0xecbdc152, 0xbaf033cd, 0x7f4ad869, 0xf8313237, 0x1cbec8fc, 0x5f39e0f8,
+    0xbc2b4b12, 0x06187762, 0x44f3ac62, 0xb1928cbe, 0x68507683, 0xa92486d7, 0x2643b898, 0xf315aa8f,
+    0xa804e5f2, 0x34be72fe, 0x6e3c9e02, 0xa9653afd, 0x6e67203b, 0x98060c61, 0x543521c6, 0x0012184e,
+    0x3667352a, 0x3da9e1db, 0x7f412450, 0xf9401907, 0xd800e969, 0x83111101, 0xe65e74c9, 0x641cf395,
+    0x6728f304, 0x91619c97, 0x5eb5b951, 0x7658bc68, 0xbb7fb25e, 0xfbf434c7, 0xbb61e690, 0x7177eaee,
+    0xc264c10c, 0x1d2b9734, 0x1b4af1fa, 0xabfca398, 0x85646f62, 0x874807ae, 0x18e10f21, 0x519de007,
+    0xac9e58d6, 0xaaeafd96, 0x7108e355, 0x7098c340, 0x23feb208, 0x8cdac190, 0xb57c5534, 0x15a0c39a,
+    0xc8c10fdf, 0x094e5af1, 0x365e67d1, 0x98fbab9d, 0xebcae095, 0x47d175c2, 0xb9c953bf, 0x9d513417,
+    0xb1308f9c, 0xe4bd7589, 0x1852ca69, 0xf7655fc1, 0x95aff071, 0x4c11ab69, 0x02f35157, 0x777c7518,
+    0xc3caa5e3, 0xbef70d58, 0x5252de28, 0x4c2d6d33, 0xf1f25a94, 0xef4f18a2, 0x571419fc, 0xe3f7a93b,
+    0x76ee2d5b, 0x017b2d94, 0xe74a45d5, 0x94146075, 0x535ff693, 0x9725362b, 0xd0836b2f, 0xdf22e5f9,
+    0xc46c0086, 0x0086d023, 0xc1d40c45, 0x07e9fdc0, 0x7375ec98, 0x8d319ab9, 0x44d87d8c, 0xd460baa0,
+    0x058451ed, 0xd0dbee9b, 0xd4bb5f86, 0x08b070aa, 0xf35e7511, 0xdd4a96ed, 0x1ed61d73, 0xeb882b88,
+    0x4cdb7b69, 0x1fdbee81, 0x55bdd8fa, 0x813aadad, 0xfcf09c33, 0xb5af6075, 0x4f751119, 0xe5ee3f14,
+    0x0c326839, 0x9b049e8f, 0x47e29380, 0xce5b8d54, 0xa28582a0, 0xc2dd071d, 0x9e7d19df, 0xe1e41c67,
+    0x987a5854, 0x0009feb5, 0xcb46873c, 0x70698d56, 0x565c44fb, 0x3bb13ddf, 0x2954203d, 0x5e2113a6,
+    0x2dd3296b, 0x22ec84ef, 0xbfe66a33, 0x615d11e2, 0x4353d601, 0xcd0eeec8, 0xe82c4619, 0x514e1a51,
+    0x1c05af59, 0xee9e3811, 0x6068c373, 0x65b3d7f3, 0x6836d1c8, 0x14aa52b1, 0x893d2f7c, 0x8c864423,
+    0x80ccfc53, 0xce4e059b, 0xc4c49559, 0xc4192024, 0xd65de424, 0xeb250f97, 0x0b6bc732, 0x333e2da4,
+    0x4dcd5daa, 0xf9fa0e89, 0x562cc903, 0x52148bb5, 0xe483a6eb, 0x244c5540, 0xe34bd671, 0xf340c6a6,
+    0x5dbf3ec9, 0x0046b1d9, 0xb5b1fe2f, 0xfd035eb1, 0xea1f5540, 0xf8fd343d, 0x0dfdcb49, 0x923fe9c5,
+    0x68479baa, 0x17634f53, 0xe4ded9e4, 0x1ce11aa8, 0x44620487, 0x947e4928, 0x5449c5f9, 0x332fffd1,
+    0xe7b3f20a, 0xebbca77a, 0xb1c097df, 0x42d0de52, 0xbc23caed, 0xab5e8916, 0x84b420ac, 0x6621ff71,
+    0xcdae17dc, 0x3029dfa6, 0xe96c9913, 0xce09aa27, 0xd5cdecf5, 0x2ab17772, 0x124f9a5a, 0x3e81ecc7,
+    0x40837c6d, 0xe8778c51, 0xaa371497, 0x18eed9a2, 0xacb0ec9d, 0x90a4f3b5, 0xb7a49ec0, 0x1b98bf9f,
+    0x784f320d, 0xe2c74c23, 0x38a0f5b3, 0x455f2381, 0xa631edd0, 0xeac15014, 0x13953580, 0xcad06d35,
+    0x12876198, 0x26e69579, 0xea40d249, 0xa39300d1, 0x027bbd70, 0x6c6c2841, 0x89ea66b1, 0xd21b4156,
+    0xba7b39d3, 0xffc63b0b, 0x7fd93701, 0xe5f93048, 0x02206ab2, 0xfb158a70, 0x1ea68f02, 0xdb3ef313,
+    0xe4bbc126, 0xd6b168da, 0xd0d3b268, 0x06a5ae20, 0x3aa68a44, 0x2f68f317, 0x06159014, 0x9ca6c971,
+    0xdfddd5fc, 0x86c59f40, 0x750586f4, 0x44f5031c, 0xe15f4943, 0xf329d5df, 0x630b1cdc, 0x90d8c87b,
+    0xfa54913d, 0xab5d02d1, 0x0782957c, 0x8d176d25, 0x83c2a709, 0x9f796ebe, 0x122cfb5d, 0xd250c0ca,
+    0x396fd8ef, 0xac6498e5, 0x6f6359b6, 0x51b3ac1c, 0xd8fcbc7c, 0xba14c605, 0xd7a8048b, 0x423c71af,
+    0x0bb1e575, 0xd9c5ab76, 0x7d65ca30, 0x33055421, 0xaa2d498c, 0x29dad643, 0xbcf2929e, 0x76e4eb9d,
+    0x9d711ec0, 0x029d1095, 0x111ed6d9, 0xd7f04394, 0xaae09e68, 0x5b482744, 0x90ea6cbe, 0xf011e443,
+    0xb0aa50aa, 0xc9ef0cc1, 0x73592dc6, 0xcc76e55a, 0xbae6ee63, 0x38bc9b69, 0x3c4f963e, 0x2d313c97,
+    0x41f75f94, 0x5fc945b2, 0xc43f01c3, 0x4a09cfc1, 0x496728a4, 0x0576a875, 0xdaa647c2, 0x8054810c,
+    0x104375c9, 0x0f6aa30e, 0xc8fcc03d, 0xfe9d80f5, 0x0915966b, 0x0f82d10d, 0x8dfda0ae, 0x17e35951,
+    0x25494b92, 0xf0b0d655, 0xf65f0a67, 0xae962b67, 0x2563516d, 0x44095dfa, 0x9f93f020, 0x0d8995cf,
+    0x59395594, 0x9d7e453a, 0x31864a85, 0xd0b51cdc, 0xc69d0256, 0x3108aecc, 0x23a1ec58, 0x6c64fcf4,
+    0x6d30b745, 0x2c47dbc1, 0x8a3273b3, 0xe47ff466, 0x9bf8261d, 0x85bf8dd9, 0xb72ef84c, 0x96a02d88,
+    0x833bff15, 0x2fcf5f37, 0x044c1bc5, 0x92c61363, 0xd9cde20f, 0xe7688751, 0xb668c4b8, 0x0d8f494e,
+    0x830d233a, 0xf28487da, 0x1a791ea6, 0xd3d372d9, 0x9d95f6ad, 0x6611ffb4, 0xb3ac4ca9, 0xfe61d373,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000010185179881672\
+                          43043134222844204689080525734196832968125318070224677190649881668353091698688 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e,
+    0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d1, 0x87a62f99, 0xaf021621,
+    0x00000000,
+    0xcd0e6829, 0xf50ba572, 0xb7e8f2c9, 0xbc854d4b, 0x18d5e871, 0x9c02e71b, 0x94e2a0bc, 0x83591efb,
+    0xad9a4a67, 0x037cba26, 0x48548622, 0x475aa879, 0x789d5875, 0x84709f66, 0xbda1a8ed, 0x91eaf973,
+    0x2b190f5d, 0x201a5aec, 0xebf81598, 0x49682a45, 0xcd3f1c43, 0x1799a35a, 0x92a4c0a6, 0xc72433e7,
+    0xd20457e9, 0xb9990e4c, 0x42030121, 0xad2c05ad, 0x515fd00c, 0x8cd5cfd6, 0x17b80f3e, 0xcc511240,
+    0x229e70c4, 0x2ff0d7c3, 0x280cf17b, 0xb23faca3, 0x866d4488, 0xd405d03d, 0xee897b8f, 0x4b9fae2a,
+    0x2d209653, 0xad0b449f, 0xc414ac2f, 0xa93903cb, 0xaf1c5527, 0xb2f3e700, 0xecf1316a, 0xa9ddca5a,
+    0x47b424c4, 0x94b4d9fe, 0x31738f9e, 0xd5d40a05, 0xa311398e, 0x0c960340, 0x14f08e57, 0x66a90e20,
+    0xa88652a8, 0x9feee8ef, 0xae8a2542, 0x02155112, 0x9148dfb1, 0xdd73145a, 0xe533ae0d, 0xde1e1b23,
+    0xff4566f3, 0x14ea5c5d, 0xb42a30d8, 0x1d9ada0e, 0xe4b91d7c, 0xdfbea9da, 0x66d49cdc, 0x1346c43a,
+    0x6e179c02, 0x8b863e9b, 0x95fb7f78, 0xe9951904, 0x0626fc02, 0x5b7087fd, 0x3bcd182f, 0x6eae2d81,
+    0x17ed1919, 0x1b16c548, 0xddfda61e, 0x4bc06f26, 0x931f0130, 0xb7717be9, 0x4221901a, 0x331017ea,
+    0x055fb067, 0x77280d8c, 0x8dc2ad67, 0x21018949, 0x89d5a5b3, 0xfc95fbb3, 0x0ebc734f, 0xcc621b46,
+    0x1f8ea1b5, 0xc376b4f0, 0x595316f3, 0xc9296e0d, 0x545cfd1e, 0xf039ebb5, 0x37696a0b, 0x96c446bc,
+    0x44b3ad83, 0x8b83273d, 0x7fec8779, 0x1874326b, 0x25a2b7d3, 0xf87783ba, 0x4f08fd65, 0x0dd969cd,
+    0x71888d70, 0xaf46ef3b, 0x054b3976, 0x9cbb9152, 0xd05561fa, 0x01c4164b, 0x2dcab683, 0x55708122,
+    0x957cbdfe, 0x2aa5ac96, 0xbe1a6eab, 0xee1fd288, 0xd1ddcae0, 0xe2a28423, 0x09ae78c0, 0x9684becf,
+    0x9a2400a5, 0x2a5009a7, 0xdeeb0d98, 0x6d8ff33a, 0xeeed3703, 0x52a5c80f, 0xca3d9af1, 0xb8188c2c,
+    0x28f40483, 0xa8045fa3, 0x16def598, 0x4b11829e, 0xaae97a6c, 0x6efcffe0, 0xb474b55e, 0xf50625c5,
+    0xedf0ee95, 0xe13a4606, 0x5a11f256, 0x58d1ebd1, 0xfeb5118a, 0xbded9439, 0xd89928af, 0x04bcc365,
+    0x2cbd6669, 0x8cb43423, 0xb23ffe23, 0x5aa70c90, 0x7665a38c, 0x284b85e4, 0x4c9ed53d, 0x1c65a927,
+    0x68babec5, 0xeb4e31b1, 0x03dbcc74, 0x104e29fd, 0xf7a2ff96, 0x9e406ddf, 0x894fdfe1, 0x3f7a9b19,
+    0xc54958ce, 0x3dce0ab9, 0x11089ff5, 0x1e1904d7, 0x40196cbf, 0x0ade3b56, 0x28965883, 0x4e3a2db8,
+    0x6152b783, 0x273d86f7, 0x918fcb9e, 0x4b8311ad, 0x9d7d25b8, 0x09403b71, 0x5eb9995f, 0xdbe703c0,
+    0x26231223, 0x46e2e214, 0xbd1f5cc7, 0x033cb792, 0x8cde58f8, 0x53569fe3, 0xbeeb85d3, 0xfc6be3c4,
+    0x14d2c519, 0x54c6142e, 0xd51e6780, 0x353d03bf, 0x5eb79c8c, 0xe53d7e90, 0x055412c2, 0x1797ba43,
+    0x0b76942c, 0x77f4b61a, 0xec24ebff, 0x7d62775b, 0x5af3a2a3, 0x9f8d80a2, 0x6c1bf1ec, 0x15fc5931,
+    0x5c9e8bee, 0xbbbb8d84, 0x0f503fe3, 0xb44eccee, 0x62cc5901, 0x78fd4dca, 0x102caadb, 0x2c5769b7,
+    0x98aabb51, 0x99c29438, 0x7558bcf9, 0x661a59b9, 0x6e39010f, 0x46204ee8, 0xfcb985d6, 0x4f457a06,
+    0x824599f8, 0x04cce7b7, 0xb2b7e220, 0x4a3b9773, 0x875b70ac, 0xb7428b43, 0xafcdd48f, 0xc2ce598d,
+    0x924f05e6, 0xbe8854cc, 0xb4e6b031, 0x792c643e, 0x8532c6cd, 0xe52bffaf, 0x793db90b, 0x387b37af,
+    0x00deae24, 0xabd423f8, 0x9751b950, 0x14c16421, 0x457a8415, 0x43a5ed5e, 0xd45de2a7, 0xb2dbd7b4,
+    0x0105a129, 0xcdb61c05, 0xe7a81d88, 0x783098ad, 0x2b34ce74, 0xffe260c6, 0x9129b8b9, 0xbc006e21,
+    0xd0ccb4da, 0xbf85700c, 0x182b46b9, 0xb959d482, 0xd511b169, 0xcb5ae0ec, 0x3504a7fc, 0x6b36b7de,
+    0xbaa36c28, 0xa2ea4044, 0x9c0e319f, 0x2da966d1, 0xf618abc3, 0xc024de0f, 0x22d08cf5, 0x8a7e5af5,
+    0x07348322, 0x2213915b, 0x921ba3a0, 0x1caa8834, 0x9df45678, 0x78b7fe31, 0xac9e1313, 0xa7ec02cd,
+    0x2269de76, 0x1f3ad7ca, 0xb4a4c10d, 0xde1802e9, 0x093dea2e, 0x16d8a331, 0x86a70fcc, 0x900795c2,
+    0xd561d9c3, 0xc18e22d0, 0x84969b49, 0x97fea44b, 0x95e101ac, 0xe0e67d3e, 0xf8f83abf, 0x358f4422,
+    0x3679f3ba, 0x4cb4b22d, 0x44daa32d, 0x8a4e4a8e, 0x2d583cfe, 0x0c103f9e, 0xfc50e584, 0x099bd195,
+    0x5b19035b, 0x6f349158, 0x12b49f65, 0xf126e69f, 0x61dc64da, 0x7be80c30, 0xb4ef4538, 0xb70fa489,
+    0x7b081a35, 0xff4751f6, 0x121fa3b4, 0x5eaf9016, 0x77db9868, 0x0886c81e, 0xca91fcfb, 0x0cd83d86,
+    0x14f537e6, 0xc8b217c9, 0xe1f9f127, 0x02075b63, 0x6e96e858, 0x562a80ea, 0x44006203, 0x59e2ac0a,
+    0x14ab91bc, 0x09e55c28, 0x748b14e0, 0x59e83461, 0x14e7e4c7, 0x33e28578, 0xee69bd1b, 0x08651cbb,
+    0x12dfa993, 0x9964be30, 0xb7dc046e, 0x4475b3d0, 0x764e0258, 0xf679a7f9, 0xcfa18533, 0x7ce614a3,
+    0x882bbaa1, 0x1342953c, 0xd5e909f9, 0x34fcb170, 0xb8ee0461, 0x323f8106, 0xb59bfc33, 0x50941808,
+    0x37d68d48, 0xff690691, 0xa5d77f78, 0x780b56f8, 0xc910e047, 0xd23a1bdb, 0xf8242e59, 0x64526040,
+    0xf48414ed, 0xc20296ca, 0xa335705c, 0x5f3a4b78, 0x0ed7461c, 0x0c25629e, 0xbf2f7505, 0x2b333e90,
+    0x09fdf8ba, 0xe9af3eb2, 0x752b7233, 0xde5111d4, 0x11827c7e, 0x579f093d, 0x81bfb586, 0x4ceb1c05,
+    0x4beea76d, 0x59fad0d9, 0x0cb9c310, 0x19bd6352, 0x7a7d95a6, 0xb5630f0a, 0xd8e8b68e, 0x17afbcea,
+    0x704b835b, 0x43b4c945, 0x7e0d8691, 0xd56a4120, 0x4105f23c, 0x895906f2, 0x646244d2, 0x10d848f8,
+    0xe592c97d, 0x55838f84, 0x2fa66472, 0x91980f75, 0x321cbc4e, 0xb95e0f31, 0xa061dff3, 0x63fade16,
+    0xda83821d, 0xc8a7a51f, 0xbfba787a, 0x778cf908, 0xa455223a, 0xe6c8870e, 0x396902a6, 0xd869d402,
+    0x34ec5d33, 0xff9ac6d0, 0x536a8112, 0x8e5983f7, 0x8c67dc31, 0x991655a2, 0x27953599, 0x6823f99b,
+    0x8d4f6ecc, 0xdf514abb, 0xeb297893, 0x8a4fc6fa, 0x8896c3ce, 0xca3ccd46, 0x59c3f9aa, 0x26222529,
+    0x65cdca43, 0xe7333d12, 0x9830edc7, 0xe88b43bb, 0x27154895, 0x56ff748f, 0xb439760f, 0x4646fd74,
+    0xa0e26c3e, 0x10b56772, 0xb71a58f9, 0x147a7a37, 0xf556d392, 0x00090758, 0xc0051860, 0x0f1d24f5,
+    0x11309252, 0xe11149a4, 0x8ad920da, 0x50408eb0, 0x19b3667d, 0xeb2c9f1d, 0x804d084a, 0x9d0e3f5f,
+    0xf009b7eb, 0x6556cf7a, 0x4271d79c, 0x59d9e8a5, 0x4421f1ff, 0xde523dfe, 0x49fe6878, 0xe73afa14,
+    0x565e1f2a, 0xbb6b4e0e, 0x953ef4d3, 0xda6b7be7, 0xb5431c40, 0xf81e66c5, 0xe040d55f, 0xcde10ed8,
+    0x30ba8b47, 0xa3805b14, 0xaed1d0f0, 0x7eaab5ef, 0x96a0d2bb, 0x412e7a46, 0xfbca09eb, 0x69c5c1bb,
+    0x73f33d7d, 0x36ed9460, 0xbe7c6622, 0xf0555d0d, 0x3cedd25f, 0x1f3e5e15, 0xe53157c3, 0x21e5fe38,
+    0x0e95ea91, 0xf476364e, 0x3867daa1, 0xc5b7d809, 0xbf0655f2, 0x1feea572, 0x8dd7d54d, 0xcac76230,
+    0x68ada155, 0xcc55602b, 0x4b7563cd, 0x2295340c, 0xf8a721ce, 0x22f14098, 0xea9cd3d7, 0xca4aad06,
+    0xfeafce9a, 0xb01f454a, 0xb140e33b, 0x1819e78d, 0xb974e254, 0x53203aa0, 0x49d09dd7, 0x3a8cbd17,
+    0xc8718ca4, 0x583f4514, 0xb5cac719, 0x722dd55b, 0xfcad1a0c, 0x3f433629, 0xe6c87d70, 0x82f1ce1b,
+    0x4059ace5, 0x7427b5f7, 0xa9578882, 0xbceb38cd, 0x4c97a315, 0x35c2d37a, 0x767f74fb, 0xde015401,
+    0x14eb6bbf, 0x67a027e5, 0xe2f8d06a, 0x5fecc365, 0xafcc533b, 0x80d409ee, 0x9dcfa302, 0xe74132e3,
+    0xc91d45d5, 0x31f28322, 0xd4db3ba8, 0x76f2ac69, 0x6fe10c80, 0x27bae078, 0x3e459066, 0x54745316,
+    0x41986b4c, 0x128ab84b, 0x36d8beac, 0x3c85d37f, 0xe3343599, 0xa917e3aa, 0x8170adaa, 0xd5f0141f,
+    0xed7959f3, 0x256ac754, 0x55aeebe9, 0x1556b51a, 0x07e7a178, 0x4cf6b5c8, 0xbd78bc82, 0x0d689da8,
+    0x7a4c8083, 0xf5832137, 0x4954cdce, 0x083f094b, 0x721ed8e4, 0xe84fc7d9, 0xcfdbf67c, 0xfbe53f86,
+    0xe9708488, 0xa103d19a, 0x4ef7158a, 0xe659a441, 0x10ec0054, 0x61969759, 0xc316a520, 0x0fa105b9,
+    0xaf0c9b37, 0xebc01a77, 0xa6d37d1e, 0x1248b531, 0x2ad3bb2e, 0xdcfd9c10, 0xd33437a6, 0x9cca113f,
+    0xbe1a83d1, 0xde023c59, 0x5ef12bf3, 0x2b833fbf, 0xbb67f885, 0x1c8cdc17, 0xe2f2b26d, 0x60ba3b06,
+    0x039f2c08, 0xe5532e54, 0x01753977, 0x31ba017d, 0x5fd45a0e, 0x7560dd41, 0xd42d05ba, 0xd620bb35,
+    0xaa79abe3, 0x505b6c2c, 0x06946f45, 0xc07f8d30, 0xadb79f10, 0x294eb32e, 0xc631978a, 0x6eea7ee8,
+    0x0873dc0d, 0xaa6f8fb2, 0xc95b5b24, 0x8d8b512b, 0x1722da9f, 0x6516b33c, 0xfb0c5782, 0x6fc6885b,
+    0x17f9089e, 0xb5f75319, 0x091d82fc, 0x967b3343, 0x533047db, 0x7b7a7051, 0xec567580, 0xc2975dca,
+    0x6c677a16, 0x243a5677, 0x898d32ce, 0x44ea5ac9, 0xb3fc50ef, 0x5f4cb177, 0x1ffc46ab, 0x568bc8be,
+    0x343b1f92, 0x8a6c9032, 0xd3f81a7f, 0xeee1a20c, 0x6f2a8929, 0xc0e8074b, 0x5382c231, 0x99a7947b,
+    0x5a4683cf, 0x481042ca, 0x5e438a28, 0x7f4b6589, 0xd118c08c, 0x313b0d16, 0xdf0b79bf, 0x320f2337,
+    0xfe6ba0de, 0x716c005c, 0x8e74fb1d, 0x05550cc4, 0x12141cbb, 0xa71975a3, 0xd1d66543, 0x25337f3c,
+    0x3ef1f7d2, 0x9579f110, 0x9d7576f1, 0x74b2c0fa, 0xf429abba, 0xcb209200, 0x04c6f9f8, 0x63d89b3c,
+    0x4aa1dc29, 0x67daa7dd, 0x04991d13, 0x48ba6c70, 0x6cc99095, 0x7ced0f1b, 0x71984ce9, 0xa0d6ad3b,
+    0xeac70a8c, 0xbd1d57f4, 0xfd684129, 0x8444a1d0, 0x8f779079, 0x5cbfae10, 0x57a60f9f, 0xf950f119,
+    0xecb0e228, 0x4b42fc95, 0x00df6d75, 0x857fc5b6, 0x19091349, 0x747ed7d8, 0x17793c54, 0x70fbbbe2,
+    0x50e1b2e4, 0x078eeaac, 0x6243623a, 0xb922992f, 0xf616df2e, 0xad4fb45a, 0x39cf4e17, 0x6afbcf92,
+    0xd36802a7, 0xc1d895d4, 0x5857ed1b, 0xd582e5d8, 0x27ab71b4, 0x9a4ff468, 0x6956008c, 0xe943067f,
+    0x7c7fdf07, 0xe70af0f8, 0x4bc6e98c, 0x92460be5, 0x65bfdc32, 0xfa61e18c, 0x45f0b52a, 0xfb2dc65d,
+    0x4829ac0a, 0x2a855d8f, 0xc169d3f6, 0xfaade8ba, 0xeafca88a, 0xb47f3130, 0x4281fff6, 0x1f0522f2,
+    0x7c5dad95, 0xa6b19b50, 0x0604f253, 0xdc176572, 0xc7cc3aac, 0xdb75bbb2, 0x3731439d, 0x8e1342df,
+    0x6670fc4a, 0xc4cdf83c, 0xa5c0e578, 0xf11faa3e, 0x6682dcc2, 0x34744e42, 0x4694c91a, 0x106f104e,
+    0x4ff68be5, 0x074d7e42, 0xcc7d0af2, 0x1e8c64d2, 0x6e42628a, 0xd2e2e35c, 0x1a261232, 0x2d67b026,
+    0xfc7e9cb8, 0xd1c27002, 0xca8fb4c6, 0xd24ddd4c, 0x47776c60, 0xcd5b2a64, 0x9bbebc6d, 0x4b8381a1,
+    0x120df77c, 0x6e74fbd8, 0x66d58afd, 0x627fe381, 0x29e11479, 0xe1a8a703, 0x48db8499, 0xdd221d6e,
+    0x026d0e5f, 0x5624da56, 0x81489175, 0xfbca3421, 0xe6f25842, 0x71e0e5ae, 0x858bc96f, 0xc07e250f,
+    0x06ef2419, 0xa5ba48fd, 0x494f54b0, 0x42e46955, 0xbdc02391, 0x672491d7, 0x65b884da, 0xd360f2cb,
+    0x0ed88ca9, 0x039c3bdb, 0xbf5c06b5, 0x8ecb0099, 0xd593384d, 0x907f4c65, 0x7f113ee7, 0x54fcb47b,
+    0xbd096f32, 0x1c14e4f0, 0xf45c6fde, 0xe318349b, 0x11c06236, 0x6084c289, 0xadbfab8f, 0x487da3b9,
+    0x3aa41eb4, 0x99e430ad, 0x225dacfb, 0x0ac4c870, 0x0daa7198, 0x8bc26973, 0xaa759ce2, 0x659354cc,
+    0xc3174c6d, 0x2364c524, 0xeb83bd1c, 0xb86bb063, 0x2fe51013, 0x5b28ec85, 0x3c336a95, 0xd32da87a,
+    0x00e9c7d6, 0xd903fa0d, 0x3470109d, 0x56fdcb25, 0xf7b21188, 0x2dd75786, 0x5c1df53b, 0x82278070,
+    0x04c4d741, 0x226c8f14, 0x0f768891, 0xe39db7c3, 0xf06c00a8, 0x5a84b39b, 0x68638549, 0xd59af67e,
+    0x6bd1fcb0, 0x38c6d230, 0x4e9a3add, 0xacece75a, 0x7bc57379, 0x738d1ed6, 0x31ca132a, 0x89c4a597,
+    0x2df0d241, 0xbe8d7b26, 0x83562555, 0x0c415df0, 0x21346ced, 0x11534f42, 0x3942138b, 0xf2530a37,
+    0xe1a89645, 0xd383f68d, 0xd1e3e4c5, 0x44f94924, 0xf8909723, 0xe192e1cf, 0x1d95f631, 0x5e7243c4,
+    0x0153bf39, 0xac87e74d, 0x164707d9, 0x951daf57, 0xb6df6e47, 0x0c9d9edb, 0x1f02b3d7, 0x396858c4,
+    0x74f7d508, 0x1d38403b, 0x29d2bfb2, 0x4a9e8599, 0x25316225, 0x28bc71c8, 0x9708cd08, 0xeadaa7a5,
+    0xedb8dc52, 0x5b320a33, 0xaec36790, 0x9ccc0f79, 0xee056171, 0xc692c401, 0xb8ff47b8, 0xc9ba4567,
+    0x34d002f5, 0xc47f2ae7, 0x9aeb941c, 0xb8730e85, 0x8838d01b, 0x3bf65fa9, 0xb55dbe17, 0xd2aa7847,
+    0x6a374645, 0xe67d09df, 0x64bce4fb, 0x777fe78a, 0x9da22380, 0xe6bac0b0, 0xf55a2a2e, 0x1be928cc,
+    0xfaea9958, 0xcc81dacd, 0xb5c2cdd0, 0x59502234, 0x3533d2c7, 0xde05b3d0, 0x70dfde10, 0x77344322,
+    0xd2d03893, 0x1f0cb4f8, 0xb397e900, 0x273fe02e, 0x35f5f58b, 0x3398f1a1, 0x5671aee4, 0x8a8341b1,
+    0xbbfc5fa6, 0xfeb25510, 0xf9de2769, 0xb1823ec9, 0x79708c0d, 0x3979f24a, 0x694b2e7e, 0x2e66b456,
+    0x9d324aca, 0xd8a855cf, 0xb0bc4bfa, 0x6cd0f711, 0x4f5e3d88, 0xd4cf24ac, 0xd003f36a, 0x26eb922c,
+    0xa5fa4de1, 0x9493047f, 0x2fcece88, 0x20b35870, 0xe547775a, 0xf7da4567, 0x5c35dcfa, 0xf4fa6ddb,
+    0xe2be7aee, 0x1e1d5571, 0xcd9a6870, 0x40787348, 0x94840c43, 0x22a36afd, 0x830c9742, 0xa5a75b43,
+    0x2cd3e8b9, 0x8c86c44b, 0x49a2a89c, 0x537c3d46, 0xb1ec3128, 0x3e14eaf4, 0x9d9d45e8, 0x53ff6795,
+    0x2299f29b, 0xfed1c4af, 0xe3505601, 0xd4714829, 0x6d6bdd09, 0x81546aef, 0x8c47c987, 0xbe327b05,
+    0x1552caec, 0xea4ae424, 0x0ef29f11, 0xe62ac912, 0x02ceebfc, 0xae1743bd, 0x26cc9a4f, 0x61a7d54c,
+    0x00633e65, 0x9e5cc215, 0x40cc0c86, 0xd5cebd3e, 0x090bb672, 0x08e72fa0, 0x2709b668, 0x9407d022,
+    0x5454c4c8, 0xc5bef2c7, 0xbe827388, 0xa6270901, 0x598c0f3b, 0xbe889187, 0x1401a33d, 0x0015d1c5,
+    0x327c87e2, 0x6abc9952, 0x8fec9444, 0x53b65765, 0x7c9eb6d5, 0x095475c9, 0x113fc95f, 0xabc43ca5,
+    0x8520805c, 0x6e6f89f4, 0xc91c1714, 0xdd245372, 0x97c4bb52, 0x27f2d0ae, 0x02259d13, 0xa755992c,
+    0x362e429f, 0xb617e721, 0x0452f7f2, 0x3bda2445, 0x4ddbaad5, 0x5b639a08, 0x4ff34362, 0x8cf2b7ee,
+    0x3a67cec4, 0x97d24021, 0x5d692102, 0xfdffc7d5, 0xcc51817e, 0xf503ed55, 0x765f63a3, 0x30093286,
+    0xe8cfce29, 0x1e7f2503, 0x4f2ea5a9, 0xa47c1ca3, 0x7982647d, 0x1c413750, 0x32cd5cf4, 0x653c6d66,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000005092589940836\
+                          21521567111422102344540262867098416484062659035112338595324940834176545849344 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197,
+    0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe8, 0xc3d317cc, 0xd7810b10,
+    0x00000000,
+    0xa20287f2, 0x3ae65856, 0x9e541ae5, 0x5ff1dda9, 0xadf22e02, 0x6c631968, 0x47f6d565, 0x2f423a5f,
+    0xcf836660, 0x4528c0da, 0x07241fbc, 0xb39a9da6, 0xd3617f24, 0x070f5950, 0x104ec3e6, 0x9907398f,
+    0x76398ce9, 0x8d2fdcbe, 0xd08e95b8, 0x805063ca, 0x2bad6a83, 0xd55000cf, 0xea054292, 0x51f8e652,
+    0x709632bc, 0xb2668e24, 0xa2cb0d65, 0xbaf54af0, 0xb7060452, 0x541803b8, 0x56a048a5, 0x9978369a,
+    0xa4fdc074, 0x6138b13f, 0xc477565a, 0xf5538672, 0x0a39c627, 0x6a4137ad, 0xe33078a4, 0x770cf9f8,
+    0xd0941230, 0xdb8cfc61, 0xc70e71b2, 0x12563cf4, 0xf6a5a332, 0x51020a1c, 0x902105e7, 0x66ea775f,
+    0x7628f4ff, 0x90837c9b, 0x7ef0ab8b, 0xeefd19c2, 0x92c20588, 0x26da600e, 0x582fdc9c, 0xe764ebc9,
+    0xc81fc8f7, 0x1a724ed2, 0xba35bba7, 0x13f57047, 0x7c2d5b38, 0x38e3559c, 0xb600d372, 0x6280854c,
+    0xf911a33c, 0x33a56efd, 0x32e24619, 0x8d5a4da4, 0xba004eed, 0x09f711b2, 0xcfe310ab, 0x9d3b928a,
+    0xadbb7e18, 0xb1e4266f, 0x64812ad8, 0xec908ce8, 0x54c804ba, 0xc0ff1237, 0x3edb6040, 0x3f28f891,
+    0xf6b83244, 0xeed99a84, 0x0f99facf, 0xe317fce9, 0x4692c78e, 0x92082a16, 0xb8d51f7a, 0x949f30c1,
+    0xbbd456fa, 0xe6c84da4, 0xf06c8e6c, 0xbf5dcb7d, 0xc0c3572d, 0xd79b95f3, 0x51627349, 0x7788db97,
+    0x47c79b28, 0x4af52b30, 0x1efd9d78, 0x8c7a61e6, 0x1aa0cab6, 0x9a750ad7, 0xc51b0219, 0x7dbfbbe1,
+    0x77bd69a2, 0xff0ea077, 0x17b75daf, 0xe1d26f3c, 0xdacd6448, 0x86bc5030, 0x1524e6d1, 0x15911870,
+    0xe43d16ce, 0x4fa45f36, 0x49460fe8, 0x7b012617, 0x07b266aa, 0x3e7a8c15, 0xa090d2d3, 0x34394f38,
+    0xb6736d4f, 0xb28fefb3, 0x97963e08, 0xd69385b9, 0x0ed0aa56, 0x83f22d8a, 0x08cf2aaf, 0x3fb14021,
+    0x8af55896, 0x03d5b54c, 0x952fba9e, 0xe39d8c70, 0x497cb38a, 0x0c3c2fa1, 0x8b842808, 0x61b3f922,
+    0x142cdbb5, 0xfe0786e6, 0xe2fb27b0, 0x884d15a2, 0x4dadbf9e, 0xedaf6a27, 0xa90edd2a, 0x4a3970fc,
+    0xf44ff6ef, 0xc191f697, 0x143ed640, 0x9f926030, 0xc67b3a96, 0x4852d298, 0x86acdac9, 0xffe72ff2,
+    0x233a5d98, 0xdb9894e0, 0x29909af0, 0x08252e76, 0x46e23be5, 0xa058aa4b, 0x23778f81, 0xdcb26760,
+    0xbd8ecc8a, 0x0eeab3eb, 0x5b8c0f9e, 0x1b256398, 0x3ba846a9, 0x21c25c31, 0xa4b2f65b, 0x59f32396,
+    0x9d6564b9, 0x96e165c0, 0xa8c0ef06, 0x1ec76887, 0xe95360c6, 0x91f53f9e, 0xa35e1f5d, 0xd3608ae6,
+    0xe7c72c1d, 0x0e5a62a4, 0xdde08def, 0x68ca74c9, 0x6d2b9e5f, 0x2266aa4b, 0xfd449cf9, 0x93cf1783,
+    0x8d627562, 0x957290cd, 0x0fcce057, 0xeed48ef7, 0x7522b14b, 0xf6b38ac0, 0x3c4d28fc, 0x45cde43c,
+    0x1fc6117e, 0xa0470de0, 0x511bf0c0, 0x18cbfce6, 0xb7dfb699, 0xa490bd96, 0x50e0daee, 0x507e6853,
+    0x18c0eb23, 0x876df320, 0x90e9b3ca, 0x387ca2ae, 0x850cf99f, 0x34c27307, 0x020459a7, 0x0fdf6baf,
+    0x99432a29, 0x749f19b6, 0xb4955e2c, 0x5857e60e, 0x2272073b, 0x3ac4bada, 0xa1dfcc7d, 0x578ee715,
+    0x6072ae15, 0x21936d4a, 0xa58ddf00, 0x2acc51b0, 0xe47e3085, 0x2e55aa57, 0x45a3402f, 0x7bb4590b,
+    0x8e0bebaf, 0xd9addabc, 0x77065c01, 0x0869d817, 0xeceb3034, 0x5239a322, 0x877546b1, 0xb82623cc,
+    0x6cc399d5, 0xda06dda4, 0x7ddcb8e4, 0xe6e4736a, 0x0eb08469, 0xfa452752, 0xa797c1ea, 0x57d2fdeb,
+    0x4413bdf2, 0xee8a239a, 0x649a16a0, 0x7237d813, 0x459fed7f, 0xa8027995, 0xebbcb036, 0x517988c8,
+    0x379ac95f, 0x8dfbfa78, 0x74be22a7, 0x4aeb3ce5, 0x021aa595, 0xd62c7381, 0x935ed0d1, 0xd40d3dfa,
+    0xc06554ae, 0x7072e813, 0xea84105a, 0x1603506f, 0x050f6c29, 0xa909625a, 0x14d652be, 0x551de07d,
+    0xa84fe86b, 0x088a04df, 0x85348034, 0xd9a194bb, 0x726b085b, 0x1e2394cb, 0x14367d92, 0xac808bad,
+    0x45eb27ff, 0xefe29f98, 0x176158e2, 0x39b89fa5, 0xe540ab93, 0xb878f5ef, 0x20ee2663, 0x78597e1f,
+    0x0d6b2ec6, 0x9027f8bc, 0x1d0577ed, 0x4abb155c, 0x62b30924, 0xaf20c51c, 0xb03e1946, 0x81a1e20f,
+    0x7fab5ce9, 0x129a03ba, 0x7da3fa2a, 0x163545e5, 0x51c4a077, 0x25921e9d, 0x3906f1b0, 0xb72ca42f,
+    0xad3796cc, 0x9867eea6, 0x526b8213, 0xc89d9f1b, 0xd6c1475e, 0x5574f7ed, 0xb3c65e70, 0x25f77dcf,
+    0x3b4c0b57, 0xd2fe55b9, 0x3b3188d3, 0x1b979149, 0xfa526faa, 0x460e2549, 0x730077b6, 0x6b949906,
+    0x6a1bc11a, 0x17e8532d, 0x4bedb937, 0xb484b2cf, 0xaa8543bb, 0x32e4ab8f, 0xd79b61fb, 0xf164cda6,
+    0xfb031cbe, 0x7d464e89, 0x657ec9d1, 0x438d1432, 0xb0ceff1c, 0x089a7568, 0x3f101c09, 0xa75bdcce,
+    0x83910664, 0x5f29ab4a, 0x9bc4d118, 0x97d2d9d9, 0xfb25e75b, 0x3f572aa9, 0xaf2b75b7, 0xd361eebe,
+    0xd4b8f7e3, 0xb2715a67, 0xcc9f9293, 0x9eb3773f, 0x2748b92c, 0x6e80720b, 0x2156147d, 0x6b962015,
+    0xca500e51, 0x06393bb0, 0xe245f0b0, 0x58edc7c0, 0xe844ee20, 0x1c261448, 0x0c43115f, 0x7218e4f7,
+    0xdbced60e, 0x53aa891c, 0x5c3b7875, 0x8743bb65, 0x77f9843e, 0x258c0c81, 0x48b273c3, 0xf4e45708,
+    0x310ff39a, 0xc2434f14, 0x05b6e9b6, 0x4c987a7c, 0x6e3b0496, 0x6dcac24f, 0xbd667f9d, 0xee1461da,
+    0xbf63eaff, 0xc91a9e77, 0xd535e99e, 0xdffdfd0b, 0x125c8a0d, 0x1a08c205, 0x4b1b2e57, 0xcaf9fc71,
+    0x382478f7, 0x0c8e0514, 0x1924fc75, 0x6fe4e89a, 0x9080b673, 0x01b69a16, 0x85e8f584, 0x5a734f2f,
+    0x941b3c13, 0xb1a1fd60, 0xabd827a3, 0xb55e42f4, 0x0ee2d051, 0xf121db49, 0x76d08e42, 0xec86b794,
+    0x3cf5e146, 0x0fb87f1a, 0x04084abe, 0x1656e9c2, 0xffcca561, 0xf3e1fb0d, 0xd195317c, 0xd965c5af,
+    0xe537d6f8, 0x70f181c9, 0x9cdc4585, 0x00199556, 0x21f39f1e, 0x17874666, 0x3c5a1430, 0x49717460,
+    0x649cedce, 0x32a6d5e2, 0xb880d027, 0xfcd3e99e, 0xd93d52ee, 0xc0e91f4d, 0xb13c8d89, 0xbf87699a,
+    0x0dbb6340, 0xb903bbd1, 0x67bc676d, 0x6ad88957, 0x750d196b, 0x2ea19b46, 0xedb2dcc0, 0xca1b0553,
+    0xe204172b, 0x6501b9b2, 0x3efcdc72, 0xc0b5235f, 0x71443bb4, 0x8cc97118, 0x7e981cc5, 0x54939a60,
+    0x87df1060, 0x05bbe3b4, 0x1a8495af, 0x976b96c8, 0xe9a9d3d0, 0xf14ff82e, 0x427197aa, 0x9a9288b7,
+    0x6a53d087, 0x22b4046c, 0x3f1265fc, 0x0732179a, 0x241e16fd, 0x5610e50a, 0x9a390151, 0x89127504,
+    0x13cd3be8, 0xf98ae27d, 0xcb6e7471, 0x4184caff, 0xfa027103, 0xca9fb65a, 0x29f232d0, 0x091c0685,
+    0xabd01686, 0xf3b1d275, 0x717ec2c6, 0xc6344cfe, 0xc2801e8d, 0xba346eeb, 0x3fdd0e0d, 0xdec2403b,
+    0xb238a9ee, 0xab204ade, 0x0f379ea6, 0xfdf63fe9, 0xdfa01aa1, 0x7f75dcb2, 0x39efa7c4, 0x3910f0f1,
+    0x99b705a5, 0x9f13dd6b, 0x243251b6, 0x2d5416f6, 0x23347c16, 0xc733ceeb, 0x91648f28, 0x96f05864,
+    0x8b9a065f, 0x4cd1d6c8, 0x16cc5129, 0x3d3eac9a, 0x65c89185, 0x642556e8, 0x6f9c355f, 0x5a370cb4,
+    0x9b9a5979, 0xec308e1c, 0x40c8bedb, 0x98bc8aa4, 0x7dbfcbf5, 0x486139ed, 0xa6d332ab, 0xf088056b,
+    0x955c4b13, 0x525feade, 0x3ab9696a, 0x964a1dfd, 0xd7798abb, 0xda309a77, 0xb1d022d1, 0x1cf8cdc8,
+    0xf3a3ee4d, 0x55b73f9c, 0x42d6d24d, 0x9b2246e6, 0xa38e9b05, 0xc1c086a9, 0x26b7c1bf, 0xd36451dc,
+    0x01581a00, 0x4bd142bf, 0x31c9061c, 0x7c396037, 0xa219977d, 0x0828221d, 0xa502e918, 0x2852a461,
+    0x7affcebc, 0x49b80f55, 0x3f13375a, 0x023ca75d, 0x51551080, 0xbfdef611, 0x9096f8b5, 0xe4620d68,
+    0x74588694, 0x816cb5ce, 0x0f490151, 0x6d8bf224, 0x3676c5b7, 0xaa8caecf, 0x5f627b37, 0x1c2fdb47,
+    0x78c46be4, 0x0f68ac71, 0x19346e01, 0x110c27c3, 0xc9738ef1, 0x8e5bb4e3, 0x507126e1, 0x8dfff2db,
+    0x01010503, 0x9b171475, 0xde55288a, 0xf9f3467e, 0xe8b09ae9, 0xe8eccc10, 0x68c2260d, 0x848cec60,
+    0x82dbaa03, 0xfc09e5e9, 0xa105c209, 0xb8e4dc08, 0x5ea76eae, 0x8edad62e, 0x70888bec, 0xb3ce9bad,
+    0x16778a51, 0xa58cfa38, 0x56fc502d, 0x3387c50c, 0xe0b1cc3a, 0x0605671e, 0xbf1d3d36, 0x52ee3394,
+    0x220c43f2, 0xf9191198, 0x8fd9fa46, 0xf3e36aab, 0x878f38a0, 0xa9eba535, 0x0cbf8c33, 0xf3affb72,
+    0xa82e050f, 0xbdd28087, 0xa23e970d, 0xb58d2b04, 0x81e7f7d4, 0x44601e36, 0x20e446e1, 0x2146eb13,
+    0xe3311ce7, 0x136f2ce4, 0x1ef90c8e, 0xe4aa3c32, 0x69161f1a, 0x3351416b, 0xa2414990, 0xd0d3dcb6,
+    0x2302c9d6, 0xeab41a5e, 0xefea8d67, 0xb9215173, 0xc754be14, 0xc5126145, 0x186fd45c, 0x681c2666,
+    0x5b8cece6, 0xf9e1ac49, 0xc9cc4d66, 0xe6353ac2, 0x639df2fa, 0xc654d963, 0x6c23bd4d, 0x4e940e84,
+    0x644fbef7, 0x3d0d099d, 0x6019d1cf, 0x133a044f, 0xf497e840, 0xf8ca288f, 0x82d80b59, 0xdb0b4161,
+    0xf6d4cb4e, 0x718a2d04, 0x494359f2, 0x5af6bc6d, 0x9b31109f, 0xc0c3c24a, 0x2bf6254e, 0xdec8007b,
+    0x3b0a5aa8, 0x108dbd5a, 0x8aa6628f, 0x06870e7d, 0x446a12c3, 0x711fdc7f, 0xacb9ee8c, 0x44c3fec8,
+    0x46c2664a, 0xcff87630, 0x012a14cb, 0xd5633e74, 0x394ecbc7, 0xbe489000, 0xfc0cad2a, 0x4f767ac3,
+    0x6e4e843e, 0xf6fcbb0b, 0x8a64bf90, 0x82a3e186, 0xd6a498f5, 0xb0e86375, 0x281aa874, 0xffe4a13d,
+    0x0c284278, 0xd19dca59, 0x4593c90e, 0xdccd4734, 0x3761b32c, 0x98fce3da, 0xb6f4cde4, 0xd3fd12c6,
+    0x683b6a12, 0x3b0a7d70, 0x60ee337a, 0xe5e2fa5c, 0x4b00683f, 0x2c47ea59, 0xdd376242, 0x5cdcec67,
+    0x8990b6f7, 0x9cc5a9da, 0x4b9cfa66, 0xc4437388, 0xf17c241d, 0x696fec1d, 0xfe811ae1, 0xdd3f1ea6,
+    0x7b37ea95, 0x5cf1d463, 0x40d08c99, 0x9a87e88f, 0xf3046e5a, 0x09b70cfe, 0xf7376b11, 0x2f98e024,
+    0x72b73939, 0x3837c68e, 0x829ec554, 0xa8f3fc67, 0xfa7e5b59, 0x4bf91d6f, 0x57706de9, 0x569a1c18,
+    0x92d433cd, 0x6b9b1be8, 0xbeb882bf, 0x4bc546ce, 0x59f804af, 0x9f804588, 0x3290d558, 0x31ea772e,
+    0x00d63a9f, 0x012c6411, 0xe71e3dd3, 0x7acb529e, 0xa8bbb4a5, 0x0c623e7f, 0xeeabe756, 0x4e577572,
+    0x9f51007c, 0x2e248a5c, 0x5ecdae2b, 0x83cbf2a3, 0x647d5c86, 0x3b93ae56, 0x238e392d, 0x12127c78,
+    0x37ad7ec4, 0x5ba94e57, 0xb1e05178, 0xda60e303, 0x5643ed87, 0xa91e477d, 0xaa7631b0, 0x8ac58f3d,
+    0x5599b99f, 0x07451203, 0x980edd37, 0x7096af01, 0x1b681d2a, 0x97362b85, 0xbcfd2f5d, 0xad7988dc,
+    0xdfb20222, 0xa979cecf, 0x7399deca, 0x089ba71c, 0xf3962dd4, 0x9637f9bf, 0x36622a4e, 0xe9599ca6,
+    0xa7719781, 0x82f5793d, 0x433a75fc, 0x6c998e04, 0x1f583e1f, 0xd41981fa, 0xa52034d6, 0x865584ba,
+    0xfc165d6e, 0x79843ab8, 0x68f5f6a8, 0xa7287276, 0x879a701f, 0xd1233c33, 0xbc70b998, 0x334cbd9a,
+    0x0dda6246, 0x6d5a2e9e, 0xab715750, 0xf8168b43, 0xa7c796aa, 0x1ce1e59e, 0x88408a21, 0xef8ad492,
+    0x0b494bb2, 0x525a24bf, 0x390b7883, 0x88b223dd, 0x6ab70de9, 0x11b4d9a1, 0xdbed84a3, 0xbf2ad773,
+    0x9c6ee4f6, 0x40844918, 0x2f700450, 0xa96eb125, 0x68cd05d9, 0x90abcc82, 0xf3cb6967, 0xb6e93676,
+    0x20983f34, 0x67809156, 0xce6fe6a4, 0x44ebac3a, 0x3b90954c, 0x21d3e34a, 0x1db1febe, 0x900558f3,
+    0xa1fe6db9, 0x5883041a, 0x92859faf, 0x19d30f93, 0x13a66c07, 0xf32bbd73, 0xcf7046fb, 0x38140671,
+    0x12576f9d, 0xde6ae578, 0x6356cd4f, 0x7b98a3a3, 0xe83ba0ba, 0xf0872304, 0x61907c09, 0xc752bf7c,
+    0x545f49d4, 0x827b8ee2, 0x4b294bd3, 0xe3e90459, 0x1447ae83, 0x4da86802, 0x999417d9, 0xe9f58426,
+    0x95c88c58, 0xa77056a1, 0xd2f33d1e, 0x90ca6240, 0x1bc68ad2, 0xe14e34a2, 0x94de21f4, 0x77f2c205,
+    0x451a55b4, 0x841dd362, 0x22450dfb, 0x5143afb3, 0xe7619690, 0x67ad297f, 0x499a77b4, 0x7d341bc6,
+    0xd827b34e, 0x2ad0f472, 0x8dd348e4, 0x7c942d1d, 0x8ebe201e, 0x2771a17f, 0xcfe7b8e5, 0xb6f97886,
+    0xb3a1a34b, 0xc10a9b87, 0x22158fbd, 0x3ac1e4c9, 0x5fc9c0cd, 0x9afabd02, 0xd4b94815, 0x3c5e9264,
+    0xbd4b02dc, 0x68ea8444, 0xd4f596a3, 0xd1a5afdd, 0xa20deede, 0x98aea2f5, 0x7b67e39a, 0xe0ada86b,
+    0xb724fd9d, 0xe2ffdb33, 0x1b020100, 0xa3e19563, 0xdb421946, 0x3a1cc862, 0xfce81a60, 0x304be514,
+    0x9e55aee5, 0xfe03169c, 0xfda538ca, 0xe0eaad8c, 0x8d6a7513, 0x4b0f6a58, 0x4e6fa643, 0x6431503c,
+    0xc49a0174, 0xdfea4b68, 0x16ac75bc, 0xe68e9446, 0x48dc5e78, 0x9e27f232, 0xb0dd36cd, 0x6fa62196,
+    0x75f1610c, 0xb1bf0f3f, 0xe82cfe68, 0xe70a3f72, 0x995adfb4, 0x555f1c0e, 0x822ac975, 0x682f6c1f,
+    0x3481c850, 0x0441c2ca, 0x909a9ccb, 0x0f2ad2bf, 0xae7dd21c, 0x97339541, 0x22c900d8, 0xcb20f763,
+    0xefed49e8, 0x682b084c, 0xa840dc3e, 0x2e6b7dae, 0x25a8a75e, 0xa31c48be, 0xc97f6f09, 0x02a97915,
+    0x900da08b, 0x507b551a, 0x708c68a2, 0x030afaf9, 0xf0f0caf0, 0xa7f02f93, 0xde099cd9, 0x90b20943,
+    0x833fa21f, 0xdc378ae9, 0x538dffd4, 0xf0c688d5, 0xa8144dc1, 0x9c625764, 0xb23baf9b, 0xf6ba9dc0,
+    0xe72ff213, 0x1a99ae5b, 0xbade59a6, 0x874775f4, 0xd1e6c347, 0x6885d1ab, 0x7438dc8d, 0xcbc300c6,
+    0xb5a13e02, 0x301c068f, 0x989aa51a, 0x40136523, 0x676f45d3, 0x93002505, 0xf42c2f90, 0x06e0b3a7,
+    0x70bfb50b, 0xbc8d303f, 0xab63db69, 0x9df7ced2, 0xf4e12d07, 0x1dbdfaf1, 0x1f3d985d, 0x0006fcce,
+    0x84d7440d, 0x94648b0e, 0x164b7270, 0xc19248aa, 0x4073bc07, 0x9a1304f3, 0xb5e0bd09, 0xc6ad76c0,
+    0x300bdd12, 0xa7fb7d6f, 0xe015863e, 0xebc3a5f2, 0xb4185fd6, 0x36487b28, 0x952e52ef, 0x03ca98e3,
+    0x3e80679a, 0x9ceb8143, 0xddf6f5c9, 0xef0be437, 0x7ebba99e, 0x2e050c76, 0x3b05aac3, 0x1a98dd5b,
+    0x8489c67f, 0xf6fa540a, 0x93b9fec1, 0xf4a25e05, 0xee09a03c, 0x9c044867, 0x1ee8a6a0, 0xb128695a,
+    0xd0533dd4, 0xfdecfdb6, 0xb1e453ef, 0x528c63ed, 0x18887ed9, 0xe70647bf, 0x6509b3f9, 0xdee6f7fe,
+    0xebad6ad6, 0x36b1376c, 0xef41c753, 0x529345ff, 0x58e1039b, 0x331fda03, 0xf5f504d3, 0x47d3df4a,
+    0xd12c1304, 0xf65ebf40, 0x290f40ef, 0x17d4979f, 0x1bc6f65a, 0xbb1590aa, 0x6fea047f, 0xa89d4d51,
+    0xde5eab32, 0xbf7ae395, 0xc6c8d902, 0xb5f87273, 0x4ddff14b, 0xf9a05320, 0x407cbd16, 0x13c4aa4b,
+    0xd9bfa5fa, 0x67d3e217, 0xf1efe6ad, 0xdce9f75d, 0x283e6587, 0xb404fd9e, 0x457969bb, 0x734af829,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000002546294970418\
+                          10760783555711051172270131433549208242031329517556169297662470417088272924672 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb,
+    0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf4, 0x61e98be6, 0x6bc08587,
+    0x00000000,
+    0xcba728db, 0x5d6e722c, 0x3c732947, 0xa8c5bd17, 0xa1f7d53f, 0x23d3eef4, 0xb66f8d68, 0x56c88866,
+    0x8ce22edb, 0x12b7745e, 0xbb317482, 0x32023317, 0xda2bac37, 0x5c6804ea, 0xd9374307, 0x42976db3,
+    0x475e14dc, 0xc63181a5, 0xce4f0e60, 0x2dcd6ddc, 0x20b8da84, 0x8149e69e, 0x1397cdf6, 0xff2747dc,
+    0xea0f34c8, 0xf33caddb, 0xa6c0f9a4, 0x27ba3251, 0xfcf6b468, 0xff8a2ba7, 0x857a9f48, 0xe2cc2362,
+    0xdf586323, 0x6766e0ee, 0x49d9a468, 0x8fc6d588, 0xca7546de, 0xe6a70b9d, 0xf401f111, 0x85d4ffe9,
+    0x77037d13, 0x852223ae, 0x468b82f7, 0xf60c6513, 0xe7931ddc, 0x49da8cdb, 0x84466b41, 0x83622eee,
+    0x39218298, 0x068fb6e7, 0xfc4f74ee, 0x17804415, 0x16fdc351, 0xe4bd4d06, 0x6273c352, 0xeedc8710,
+    0x30b3e956, 0x0adabb0a, 0x14c5b541, 0x4f5dea3b, 0x812c4662, 0x06ad1465, 0xec43babe, 0x82300f2a,
+    0xb15f1bee, 0x8c5f5f56, 0x9dd76ae1, 0xb47f4646, 0xc8c9a9d4, 0x6daa26c6, 0xea6e6943, 0x5711a4e3,
+    0x51bcde97, 0x5410488a, 0x550e4357, 0x792e214f, 0x62d313b5, 0x4b83e527, 0xcb140112, 0xc87d0f83,
+    0xd4d0831a, 0x11913aa5, 0x733e70f9, 0x1797d823, 0xbb9e499b, 0x6c52f6a6, 0x67372084, 0x01d51ac2,
+    0x671e0fcf, 0x00d74b6e, 0xd87ff83f, 0xb5b46498, 0x5c3d2deb, 0x3f55b998, 0xda07fb92, 0x52712784,
+    0x4b3d6918, 0xca48ef61, 0x8cf9a38f, 0xee32ea35, 0x00669828, 0x498aa094, 0x3fdb5d64, 0xbd2ef1e0,
+    0x133dc3a8, 0x503dbd8e, 0xa79ea052, 0x101f2757, 0xd4928ede, 0xc4c67f12, 0x89355860, 0xc6b2818a,
+    0x2a00bb26, 0x7b5a70f3, 0x5467172a, 0x68e660ce, 0xcea3c14e, 0xea3efb59, 0x11d16f6c, 0x11123523,
+    0x28230af5, 0x0aec6845, 0xa7a96155, 0x07aa83be, 0x432ef4ce, 0xc02abd32, 0x5a0e51b1, 0x1be319b2,
+    0x249926e6, 0x8318af14, 0x19d60860, 0xb1028a08, 0xa3342210, 0x084ac818, 0x757f1175, 0x6a7c6b29,
+    0x66090242, 0x9565aca0, 0x1229451f, 0xe75636ee, 0x5f00bf65, 0xce0183c1, 0x29f81388, 0xc4b62d3c,
+    0x8d746bb9, 0x7623ed84, 0x7c02a9d4, 0x93fec43c, 0xb7493b9c, 0x34406808, 0xed5b1088, 0xec8fc875,
+    0x8f2db87f, 0x881e0804, 0x7bc7ec33, 0x2e9065ea, 0x7e50b8f1, 0x1ad5f999, 0x85540068, 0x8f7d6c2b,
+    0xe31f9d40, 0x93116fed, 0xeed9b2d7, 0xddadda5e, 0x64637010, 0x8c7a9ce6, 0xa477bb72, 0xa37d05ed,
+    0x12a54d49, 0x8c5fbdee, 0x304abdd6, 0x3fc9dce9, 0x20fb9948, 0xdb619461, 0x85dc2554, 0x6637ee76,
+    0x61539df7, 0xcb5d42a3, 0x98151832, 0x73168f3d, 0xf32167ba, 0x8a372499, 0x5d3da673, 0x191e5a89,
+    0xe708d8b7, 0x483c6b9d, 0xd7eac80e, 0x0c77d98c, 0x64e975ea, 0x6764f4c2, 0x332868fc, 0x30cc29e9,
+    0xccdb1f45, 0x73faecbb, 0xb6d7a5e7, 0xebc141e9, 0x14fd1381, 0x1fbbd055, 0x9871c52b, 0xa4401ab8,
+    0xc471eefc, 0x4a64c161, 0xfb43f2a0, 0x69b72683, 0x28b7cb49, 0xc5e6e26f, 0x6e9ebd7a, 0xb02796c1,
+    0x1646398f, 0x03ffe987, 0x2624513b, 0xa8c38174, 0x32ffe111, 0xbf1fc09b, 0x53d09d41, 0xfb601d0d,
+    0xc2560f07, 0xeeaf8cf6, 0x55269d8b, 0xc38946d6, 0x118d1e3b, 0x45efda2d, 0x8101bab3, 0xa818f7d0,
+    0xa47f4ab9, 0x719aa38f, 0xe9ec4d72, 0x13156a44, 0x5e8fa58e, 0x7765cafa, 0x0440531b, 0x2f441385,
+    0x4013013b, 0x561f41d2, 0xa0481330, 0x3a3778d1, 0xb98501c6, 0xa6ac1b3a, 0x6cb7ace8, 0x27d44b20,
+    0xc4d8f008, 0xe84364d4, 0xd9510987, 0x9b612660, 0x15ea494c, 0xa3485efa, 0x7b9aa4a9, 0xe533553d,
+    0x92ccab92, 0xf6691111, 0x27c1f9cd, 0x95a1f92d, 0xfe5d8ba4, 0xd8b5c6f8, 0x99f89732, 0x9407df50,
+    0xbc373e0b, 0x336061de, 0xeeb45a7a, 0x5f91cc89, 0xb994eef3, 0xed6240a7, 0xd12d00bd, 0x2cc9985b,
+    0xf206a877, 0xf1fe4131, 0xcd2729eb, 0xea03325d, 0xf27e4bd1, 0x66e332ab, 0x1bab48eb, 0x2f52ed5e,
+    0x08bba152, 0x6728d10a, 0x856935fe, 0x972844db, 0xec4fdda2, 0x34c6afd0, 0xad5e6f64, 0x1e926af0,
+    0x16f3ddf9, 0x6146d8ff, 0x0719ccd7, 0xd78c79d4, 0xd5723a50, 0xe2f225e9, 0xfea477c8, 0x0ac3fb89,
+    0x1297f68c, 0xa26b1166, 0x3ceeeb51, 0xfcc4037e, 0x76a2ae93, 0xbe7f2da3, 0x452cb565, 0x2a9d0b1e,
+    0xb6872456, 0x49af7be3, 0xe4c4b98b, 0x6d494e5c, 0xffac003d, 0xdffc4acd, 0x657f548b, 0x4d8167ef,
+    0x7d0f0215, 0xca7eb03b, 0xb118da3c, 0x2f98ff75, 0x5226d2ee, 0xcff5e5f2, 0xbefa285d, 0xb8a77544,
+    0xf2e171c6, 0x93d1b790, 0xb4a005db, 0x738fa441, 0x74036a31, 0x420f8240, 0x651aa259, 0x186d0787,
+    0xfba994f1, 0x76e78bf4, 0xa619f425, 0xc12dac1e, 0xff1f242e, 0xbb68fef7, 0x2cebcefb, 0x8fa249e3,
+    0x8226199b, 0x21c23328, 0xdee8992e, 0x719d39a3, 0x211d2dba, 0xe38647fb, 0xf392cd77, 0xc3c06889,
+    0x37cfd5b0, 0x1ba5a332, 0x3705d1cd, 0xfcd6b8c5, 0x1fb65ba6, 0xcde33ba7, 0x4b0385ea, 0xf67c45a1,
+    0xc8269c04, 0xc3375a6b, 0x961cedfd, 0xc0eae9fa, 0xdebbeec6, 0x717c4051, 0x007b4cb5, 0xf8caa7fe,
+    0xef2f2a6f, 0xb5b81d0a, 0x4d48007f, 0x942d1298, 0xe1a2dbf4, 0xb056b405, 0xe40c587c, 0xe60e54c3,
+    0x4c04bf83, 0x5eb32f21, 0xc992a87d, 0x249300fa, 0x1e7dfda4, 0x53e8840e, 0x73a2812b, 0x7069800a,
+    0x601b44a5, 0x8207abbe, 0xfe29fb34, 0x758d1c71, 0xeefa6cb1, 0x7b41a2d7, 0x8288c7c2, 0x993519ad,
+    0xf1d77e41, 0xf56ca236, 0xbc6fb0cb, 0x156755e1, 0xab2374d1, 0xea9369e3, 0xca99be7b, 0x7ac26254,
+    0xd82ef60a, 0x32213109, 0x0bafe158, 0x16951eb8, 0x9e718a18, 0xaebd66d5, 0x9c0534b1, 0xe9f35bcc,
+    0x9af051a9, 0x3212f3b4, 0x0d49c88f, 0xb6931cb0, 0x0339944a, 0x9c83c35d, 0x40a71e8e, 0x5168760a,
+    0x4b118ef6, 0x28a30900, 0xae89a3df, 0x62e10cf9, 0xf728666c, 0x1e3a0300, 0xb71add63, 0x3639c1f0,
+    0x65c775e1, 0xb52f4e45, 0xf579acbe, 0x15df72b8, 0x8d14d1ab, 0x0c77d1b8, 0x7f49fdab, 0x025fe4d0,
+    0xf59ff779, 0xb4859427, 0x2a7e4dfd, 0xbc165751, 0x09dfe1bd, 0x6f3ed3c1, 0x16dc7e74, 0x6037f3c7,
+    0x3253bd8e, 0xbd5ab24a, 0x204b8d47, 0x84f5e4b5, 0xafddb1cf, 0x9562afd9, 0x92399e06, 0x00a845c9,
+    0xca453061, 0xa60da0b3, 0x3e7c075f, 0xb1e8a241, 0x83cc0023, 0x9213450b, 0x4e2739b2, 0x4d274744,
+    0x6d86df63, 0xd709a838, 0xcb21d745, 0x1af99278, 0x999225da, 0x5c275f83, 0xffa551c3, 0x373c5369,
+    0x035f2fc5, 0x9ea0e679, 0xeeda3a71, 0xf84f9d1f, 0x7f51d26a, 0x889c45a8, 0x4ed4d1b7, 0x4a270c3d,
+    0x0e7456e5, 0x7e8c2de1, 0xc9a3883e, 0x717ca34b, 0xfa20684a, 0x53438318, 0x998c5b69, 0xa2b2e0c6,
+    0x184c233a, 0x31035e06, 0x6ab238a0, 0x436f3dc1, 0xd3c6e26d, 0x9cb4090e, 0x00b1cbfe, 0x4d518dea,
+    0x80358bf6, 0x1bff3465, 0x439f4fbe, 0x546a26e4, 0xc7267255, 0x0d7aa1ab, 0xdc6cf239, 0xeb57f4d7,
+    0x21c62dd5, 0xece90101, 0xa156a872, 0xbee886fd, 0x31945055, 0xaa5c77db, 0xe39e5011, 0x8fe3d6a5,
+    0x82afdfb6, 0x0a3c4713, 0x1f844de8, 0x3835cce1, 0x665eca69, 0xc4afeb84, 0xb95062c3, 0x5a06b3c8,
+    0xdd41da9a, 0xccc0632a, 0x19805989, 0xf5be2d78, 0x7305d0b6, 0x883fe911, 0x8ff29cd5, 0x14227bc7,
+    0xf7d60700, 0x7709ba56, 0xb7f80916, 0x20da9196, 0xe58e9534, 0x6c70a84b, 0x24995aff, 0x7416af6a,
+    0xaf74af7a, 0x632a76ce, 0xdc7b52e3, 0x92f3fb24, 0x2552bb6e, 0xc9683bef, 0xff383455, 0x1a3b1d19,
+    0xe7cd2899, 0xac72e698, 0x00be3d84, 0x07bc702f, 0x8f23ac34, 0xb08843be, 0x45754e9f, 0x0f19ad70,
+    0x5bce7c2d, 0x3f4e44c9, 0xad968a72, 0xdbfb9e3b, 0x192e5546, 0x70c4c74e, 0xcec8960d, 0xc99eacd5,
+    0x10bd3e88, 0x7dc3934f, 0x40f5450a, 0xe18f43da, 0x102882cd, 0x5823a6e7, 0xd6ed0249, 0x72ffc84e,
+    0x12a39d23, 0xb29459ac, 0x032e82a0, 0x9b605326, 0x7748abd6, 0xa887afca, 0xb07eb265, 0xb29069bd,
+    0x9808be90, 0x311fdc68, 0xd9b75eae, 0xc52895d7, 0x8ec085c3, 0xba580d75, 0xc9f4ef19, 0x4dd3314f,
+    0x0fa255de, 0x0dea68fd, 0x342ce932, 0xb220960b, 0x289576ae, 0x2d543a6b, 0xf66935ab, 0xaeac3ea2,
+    0xa96e1078, 0xf29d8189, 0x6ca47c99, 0xa9a9373f, 0x2d8324d3, 0x9f4f9222, 0x8dd2a157, 0x43af799c,
+    0x2c14e274, 0xbc759033, 0x4bb577f5, 0xd8389f6a, 0x6ef9aa28, 0xab72bf69, 0x9864e939, 0x312f0bc2,
+    0xcc52fc12, 0xaa8022c0, 0x8cef37d5, 0x1dd3e5d4, 0xe3a09ada, 0x94e2db15, 0x25244f49, 0x3a3139be,
+    0x26871fcc, 0x18fe0956, 0xfbbfeb0f, 0xa2650d47, 0xb5b33ef0, 0x429681b7, 0xd0d1c2b1, 0xc2b4caad,
+    0x2f97bb21, 0xd6471fce, 0x2f43a995, 0xb8454284, 0xffd78f4e, 0x7b43802b, 0x61fe0ebb, 0x34117940,
+    0x47f419a3, 0xb184c7d6, 0x1776421e, 0x60782e2d, 0xf6083ffb, 0xca030851, 0x6a74c794, 0x8954cee6,
+    0xe22038fc, 0xb9dfd46b, 0xefb0a8bd, 0x8a38e4d7, 0x5b85db8c, 0x4fdb1b14, 0x52e241b9, 0x08aec034,
+    0x266441f7, 0x6b5b69db, 0xe78ff575, 0x395e251b, 0x18e732f0, 0xeeb4afd0, 0xec7b70d8, 0x5f370a8b,
+    0xa9f6b32e, 0x011aeae0, 0x36422bf9, 0xed6d0c97, 0x2c20c1a6, 0x6186914c, 0x593ac82f, 0xd9ad2401,
+    0xce362861, 0xe0ec3fd9, 0x20b9a88a, 0xfd4701b1, 0x4ce00001, 0x2ae0d460, 0xb7d10ee6, 0xca907eeb,
+    0xc07575d3, 0xe11feeba, 0x2a60e4d6, 0xdb995585, 0xc89c8871, 0x0f5e36e0, 0x7475f75b, 0x7299da17,
+    0xe190f4ab, 0x10351e1d, 0xa182629c, 0x30f67278, 0x06c1b52f, 0xe659e156, 0x79bc9ab1, 0x82d85ae4,
+    0x68f9f0de, 0x2ed3e0c1, 0x23e9dbdc, 0xbe50263c, 0xfb3c953d, 0xc10973d3, 0xbc7849db, 0x8ae604bb,
+    0x80e425ff, 0x20ae5392, 0x7811c2e8, 0xf543c8ae, 0x947af553, 0xc3a4d0d0, 0x067c7146, 0xdcb54a3a,
+    0xcb8993ae, 0x9c80c4bc, 0x3c03fa65, 0xcf27969b, 0x1bc415dd, 0xc556baa5, 0x7e4fbba4, 0xe766bc89,
+    0xa1cd15c9, 0x8d0b8c91, 0x421b4c76, 0x5d5cd799, 0x8cae8d2d, 0xd07ea960, 0xd8773229, 0x34e0f00f,
+    0xc7251850, 0xb9a39959, 0xa6c2f673, 0xab5bece8, 0x47c275bb, 0x2a9e9789, 0x421e496e, 0x0b2333ff,
+    0x06418fde, 0xd158faf0, 0xae74b50f, 0x7e9e0ece, 0x5de19fab, 0xb9ba8a1f, 0x2b2e7683, 0xc9b2389f,
+    0xdfc8d388, 0x4891dbbd, 0xef98a918, 0x3f38f625, 0xdcb82d5b, 0x930c10ab, 0xdab51f65, 0x92d6eeaa,
+    0x552e9668, 0x0a50de54, 0x7fb23763, 0x86dd68b6, 0x572652c6, 0xcb147678, 0x2f41572f, 0x830801b5,
+    0x9133234c, 0xc13c0634, 0x8d6a1666, 0xd003dfca, 0x44d1dd47, 0x47eb3507, 0x074e5800, 0xa38e791c,
+    0xe2de5258, 0x3fb16c83, 0x7b3a9d0c, 0xe5369429, 0x79e97fdb, 0xa5b198c0, 0xd5281c95, 0x9185e077,
+    0xf35803da, 0xd137a308, 0x4bc26cf6, 0xa6c59416, 0xf3385749, 0xc1979cac, 0xef9cb259, 0x5ec6269d,
+    0xa576c275, 0xd75d9c1d, 0x7e71e236, 0x4e153a4e, 0x617dc237, 0x7118a7c1, 0x51332ab5, 0x2059a9a2,
+    0x85fcd98b, 0x600fa0d4, 0xe2f04ad2, 0xcb0b745b, 0xb96fed81, 0xf77e5ae8, 0x8ebd2bbf, 0x57d0e707,
+    0xc63b1395, 0x8c268f4c, 0x4acd8984, 0xd457bc2c, 0x090d6d58, 0x860933ec, 0x82a4dad3, 0xc17acabc,
+    0xc532f9d3, 0xe3b97aea, 0xa35e80d7, 0x2ba36763, 0xdae88786, 0x5ba28371, 0x8db7c00f, 0x96a7c9c9,
+    0x5e548b55, 0x68ddf56d, 0x3ba68f85, 0x55d0561b, 0xdc6eeb7a, 0x5a75d3aa, 0x4d0a78dc, 0x4556da8b,
+    0x937a8f81, 0x4f42a46a, 0xb7a90dd6, 0x5c3e0b0f, 0x7b84b27f, 0xef886a07, 0xfe61006d, 0x4ae7da09,
+    0xb2746f0a, 0x54c47629, 0x14dc379a, 0x5fc02092, 0x9d12c182, 0xf97ad87a, 0x106b1a3e, 0x7b16d5da,
+    0x4d93494b, 0x5c0dbf73, 0xc1cf7d91, 0x7edd6e9c, 0xf6f96fa8, 0x42fdf65b, 0xbdf4387b, 0x747d9dcb,
+    0xa8bf6c02, 0x3db17322, 0x16cc08d1, 0x6630b7ed, 0x311eda26, 0x45ec0514, 0x15b2f3bf, 0xd45a3e40,
+    0x8fb15f71, 0xfe12a628, 0xf0d39082, 0x06deea40, 0xb07995d3, 0xe57bc15f, 0xfba3a538, 0x0bcd3577,
+    0x4edf0be3, 0xf6fe8258, 0xf58cf9f2, 0x561816cf, 0xf2b7a729, 0xf586112f, 0xa1b725ae, 0x6ab346dc,
+    0x6740e013, 0xd1bb6e6e, 0x8471dbd9, 0x67f7984c, 0x896a03cd, 0x02efc07e, 0x33ab0b39, 0xf9553f50,
+    0xfde6e39c, 0x2f3d0953, 0xd1cb5846, 0x483c3f57, 0x2fbe1ea0, 0x1ba28b1e, 0xd1f13651, 0xe7975906,
+    0xd2914762, 0x85e5ea36, 0x511b2fe6, 0x07b60463, 0xe7a3a58e, 0xee314796, 0xd5baa53e, 0x15df9020,
+    0x997b290a, 0xb9ecf264, 0x8305515e, 0x3a39f694, 0x9af7c9f9, 0x0450824b, 0x7e6560a0, 0x3074579a,
+    0x88ec5df9, 0xf174b682, 0x5f079ffb, 0x347fef0b, 0xb87c2b0c, 0xd0fc72e9, 0x17758161, 0xc0a16cef,
+    0x60d405d8, 0x8f7eddb4, 0x4b5e2b32, 0x17f18977, 0xe334fb59, 0x14dc8948, 0xf92aeffb, 0x1b68e881,
+    0x827e42d5, 0xf0a43d77, 0x8d413e8a, 0x07f6f465, 0xbc4448d9, 0x5b8ef741, 0xe9b47174, 0x825eac9a,
+    0xcc02f560, 0x9e7da961, 0x333260d3, 0x6bec0846, 0xa8504bf0, 0x1a6ed95a, 0xe23d8638, 0xc1bea2ab,
+    0x6de92731, 0x166a494c, 0x830f2269, 0x628b72a0, 0x27c82a93, 0xaf7a52de, 0x0387538a, 0xa7c45daf,
+    0xba0160cc, 0xa2cfc04a, 0xbbb0e58f, 0xfce675fe, 0x584109f9, 0x0cbe8948, 0x8528fb18, 0x716e51ed,
+    0x582fc5b1, 0x6b6a000d, 0xdeb17b93, 0xfc918b07, 0xf759375c, 0x4889df0b, 0x81bd8859, 0x8079bfe1,
+    0x262b5308, 0x185b93de, 0x6ebed067, 0x1ade8a81, 0x9bd95ffb, 0xa19b0928, 0x349a93a3, 0x78a85a34,
+    0x8814f9bd, 0xe3ea37a0, 0x606e45c6, 0x88475992, 0x93fb1f27, 0x60ce0aa0, 0x7fb8423b, 0x3b8d0fba,
+    0x468fdd51, 0xb791f3fd, 0x65c7a1ca, 0x960ef061, 0x4ed8d2e2, 0x102d2a59, 0x26274360, 0x37c48152,
+    0xcf9cdad9, 0xfea5fc09, 0xad011fdf, 0x98350280, 0xa1cc5989, 0x81e9cfbf, 0x93f5fc33, 0x538e95c0,
+    0x7e5b4cf8, 0x90ac5f74, 0x53115e7c, 0xcd07ec94, 0x3635a451, 0x6dea0c07, 0x5aa30dc8, 0x58e0ec56,
+    0x90d3bafc, 0x94aedb9e, 0x91dcecc0, 0xa2ed6d5b, 0x5f839409, 0x854cf9df, 0x2f5ae6e7, 0x37ed2a59,
+    0xee18f005, 0xa23a04e5, 0xf113f7b3, 0xbff70ded, 0x48b2b1dd, 0xfa03247e, 0x1063696e, 0xabad1f05,
+    0xa5e9aaf8, 0x9ec634da, 0x9f22bb3e, 0x3d863dde, 0xf084daaf, 0xbeca3a93, 0xec6a0319, 0xa2e7eb23,
+    0x64d819f1, 0xeb6b7836, 0xa8e11afd, 0xed2c98b6, 0x04d52a0b, 0xf1e762c7, 0xd9457e70, 0x62d683e1,
+    0x4f62afd4, 0x5e1be915, 0x41120f8f, 0x9effc097, 0x0dd661ee, 0xc602b2a7, 0xd55c4a61, 0x6c9f75ca,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000001273147485209\
+                          05380391777855525586135065716774604121015664758778084648831235208544136462336 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865,
+    0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fefa, 0x30f4c5f3, 0x35e042c3,
+    0x00000000,
+    0xa1745f07, 0x7e21ac50, 0x291b3a0e, 0x4a876b81, 0x2af93b38, 0xabe6a978, 0x9d80c2b2, 0x438703df,
+    0x80e893af, 0x1e29ac4a, 0xd4cee882, 0x29500b88, 0xe3b539e3, 0x3510248f, 0x20a93a1a, 0xf21b164a,
+    0xd51833be, 0xa0261253, 0x13d2ea8c, 0x4ab626ea, 0x9b4f52fc, 0x571cca50, 0xb5ae23c3, 0xd2448a68,
+    0x06d50935, 0x3a47a27c, 0xd6254345, 0x81f6eb41, 0xd5f1adf3, 0x813ad237, 0xa5374fb0, 0x64454dca,
+    0x53f293f6, 0xb8f90f23, 0xa31e07e2, 0x67e42cbc, 0x91e689c5, 0xf75284ac, 0x687a1a5c, 0x23402f01,
+    0x427bb3cb, 0x0896e12d, 0xa80cfc69, 0xeca64013, 0xc38e5d5b, 0x61e0d934, 0x9658d058, 0xa662b4c0,
+    0xfa46c287, 0x7ab7c592, 0xe22f6f63, 0x276da9cd, 0x18be4f7d, 0x0d5c786a, 0x747612d6, 0xef50f80b,
+    0xd670ffbc, 0x8c6abb86, 0x32caf199, 0x17a088c4, 0x75728e42, 0x5b065a81, 0xe906c708, 0xaf1223d7,
+    0xd0bd672a, 0x20f31dcf, 0xa545a564, 0xcd43420e, 0x68871b2e, 0x8d0c9bdf, 0xdbb28c02, 0x818a8f41,
+    0xeec43c91, 0x7e795b80, 0x582efeb1, 0x4a657721, 0xa4f34948, 0x22f23dd6, 0x1555a29c, 0x9eb89a4e,
+    0xbae07f14, 0x2b1c5b94, 0x08b9a827, 0xc3d17583, 0x94d6090f, 0x2f66d560, 0xdefaf325, 0x9eb101c3,
+    0x70c54679, 0x830313d2, 0x1a439ac3, 0x7aa28c99, 0xd376bea0, 0xbc9dc3ef, 0x6b1a390f, 0x37daa7ed,
+    0xb6cb0b44, 0xbdf3ec56, 0x0e0c99e5, 0x13a56b61, 0xa6d73be4, 0xbe1bd43c, 0xef3d27ab, 0x2cc74cdf,
+    0x6c01445a, 0xe5f8692a, 0xd8d07d4d, 0xa31dbffd, 0x22e63c5f, 0x6a547a97, 0x527b08db, 0x85ba425a,
+    0x0aeed139, 0x5e895f2e, 0xd4a705d3, 0xe214f376, 0x76437493, 0x99bcc48f, 0xd7c4bd75, 0x671a25eb,
+    0x64387925, 0xf858d961, 0x9ef1dbd3, 0xaab39a90, 0x3e2fd2c7, 0xc5667841, 0x4d1c62d7, 0x19ce9770,
+    0x2bbb1cc0, 0x0cf12fab, 0xfef4e1bb, 0x28a96c0b, 0x871b5fc8, 0x86e88b86, 0x8078f754, 0x45ef067c,
+    0xc9bf9c0f, 0x3604a73b, 0x5332a3ee, 0x7b122579, 0xfd5cef5e, 0x377423fb, 0x4d54cdaa, 0xda81c274,
+    0x75097535, 0x5fa1fc7c, 0x38554dfb, 0xaf9c7f18, 0xaa0d1f67, 0xaec3ed7f, 0x3eaa518c, 0x3ae960fd,
+    0x439cdb5a, 0x1c08f584, 0xd1d0c55d, 0x42982639, 0x6dce972f, 0x6c3e585c, 0x090b3c02, 0xf83440c2,
+    0x78ca8a28, 0x8e53f04f, 0x5a4f902e, 0x3c816c99, 0xd6a40176, 0xde454500, 0x522f06b7, 0xedcf1096,
+    0xa3cc61e3, 0x75bf02e5, 0xc3b20db3, 0xa84d8058, 0x0a1d0a85, 0x53aebfaa, 0x293d8402, 0x6aba6d32,
+    0x5c3d23b5, 0xe9329a8b, 0xa5bfc94c, 0x48726849, 0xb57f039b, 0xc4896c2f, 0x9a7733f8, 0x27ee7fdd,
+    0x9a1cc4da, 0x985ce773, 0x7841b71f, 0x9e0f81fa, 0xb54ef54b, 0x5f42aabd, 0xe486b013, 0x5143c02b,
+    0xa8ab0d25, 0x857083b9, 0x1994396b, 0x79bb2df7, 0x3103cb7a, 0xa8ac06c6, 0xae948641, 0xaedba02a,
+    0xd1a11b5d, 0x5ea561ec, 0xf05e0f9b, 0x1131ac6b, 0xb4268e0e, 0x9061dd07, 0x910ef996, 0x8b9cc831,
+    0xb7cd278e, 0x8cf8d85b, 0xd1658803, 0x91f0adc0, 0xebdbb056, 0x0e8ae42b, 0xe8780911, 0x524ff55d,
+    0x24ff468b, 0x37bbba5a, 0x203c0433, 0xe9b4ac88, 0xa942f092, 0x67ca57f6, 0x928ec26c, 0x978f4f50,
+    0x729a5ec0, 0xaedbe0d2, 0x1ac35b12, 0x012c27b5, 0x41eee4fd, 0x66220375, 0x8b890821, 0x9446addf,
+    0x70452215, 0x3ef967a4, 0x27d075e5, 0x38be1813, 0x2eece55f, 0x6e6356c1, 0x4c9115bc, 0x2f23f268,
+    0xa7674dec, 0x2d07b8da, 0x1f0cd1b4, 0x4c4af5d5, 0x210c2d3e, 0x4603b4b6, 0xf41af7b3, 0xf9ab185e,
+    0x3745f20f, 0xa6cf710e, 0xb79b8ca9, 0x930669d1, 0xa637a9e1, 0xd428f9aa, 0x54b18316, 0x1ad2a9a4,
+    0xf1815d9f, 0x42ef577c, 0xe162679f, 0xb8e693c7, 0x283c64aa, 0x8ce0242f, 0x0e30d7b6, 0xe20c674e,
+    0xebc5764d, 0x6825f8f1, 0x64e32334, 0x644f5c18, 0x8543be61, 0xb8bf8062, 0x3275caaf, 0x3fc9cd4e,
+    0x876583dd, 0x7a786639, 0x48f9f530, 0x7c5e2f21, 0xfb87f3c6, 0x0754f289, 0xaf802aae, 0x2b5d6053,
+    0x13e81a71, 0x0578559f, 0xea3fdaf6, 0x5c0e5366, 0x2c8158af, 0x78b19f1b, 0xce92e5c4, 0xd4788ebb,
+    0x4baebead, 0xc422d28c, 0x9bd1708d, 0xf10ce09e, 0x2e23e06e, 0x6b599ae5, 0x80caa0ff, 0xe1c237bc,
+    0xb6dd6220, 0x6e4f9807, 0xce53c973, 0x1b972aec, 0xb2bc256f, 0x576de146, 0x57572752, 0x565697c1,
+    0x53b30ef8, 0x5a6a960f, 0xfd0028c8, 0xa19b107a, 0xfd35c2f1, 0x2fc62449, 0x06a92a86, 0x7b985103,
+    0xb5cd0d86, 0xc1dd9e4f, 0xb0e9eeee, 0x7eb58a3d, 0xb8577c05, 0x790a2a89, 0x6ebe6e26, 0x5f0215d3,
+    0x59f65ff0, 0xfb32ffd5, 0xa2dddfb5, 0xd0c85873, 0xadb6230c, 0x08c022d1, 0xe524442c, 0x9f323b67,
+    0x62f0e7de, 0xb92126a2, 0x7c80cc40, 0x2ddac038, 0xf423eac4, 0x21a9107b, 0xcb8d7b2b, 0x0f4b3ceb,
+    0x26f8150b, 0x30c6ccea, 0xfda027f1, 0x0b7cab50, 0x6976bd96, 0x24e9fce0, 0x86b03408, 0x5d2fdb68,
+    0x4e680abe, 0xb0d3b441, 0xbc48f6c7, 0x62e55ebc, 0x1a7c3c99, 0xd4bdf7e8, 0x13d46603, 0xde47ca44,
+    0x168aad60, 0xdd8ecd5e, 0x9f4442ca, 0xfb379ac1, 0x6cf3841c, 0xe0066a1c, 0x4e1e7920, 0x7d9e586c,
+    0x4d401ac9, 0xc7c9acbf, 0xbd79e9ad, 0xfc9175cb, 0x86118699, 0xd67a9073, 0x909cfd75, 0xf24f78fb,
+    0x0edf89ee, 0xcc482201, 0xe983f57e, 0xe14a52df, 0x24cf4cba, 0x0b02798e, 0x2f6552f5, 0xce213b2f,
+    0xd8e62402, 0x7a4e9590, 0x7998a056, 0x717a420d, 0x4869d513, 0x81297b8c, 0x45041d5d, 0xaae022b6,
+    0x963fb32a, 0xc62ab81c, 0x0bdce196, 0x916efa58, 0xec48fd41, 0xef904311, 0xf2c6a2b1, 0x5ba9e530,
+    0x4771fb6f, 0xd6d690bf, 0x9757d017, 0xb4a765f5, 0xb8289204, 0x9a3c7f00, 0x66d97bdf, 0x3f1dfe51,
+    0xfa1d372e, 0x43d75e9f, 0x2fc507fb, 0xfa5bd57c, 0x734ff687, 0xc70b4f9e, 0x696c8ffc, 0xeab0b5f5,
+    0xea8ee085, 0xb850d519, 0x23af0626, 0xf238a79f, 0xfb63160b, 0xf0e9b321, 0x2011f22b, 0x615e7edf,
+    0xca2208de, 0xc59fc92e, 0x074b1bb7, 0x613d8d37, 0x62506058, 0x61d45168, 0x4350d6dc, 0xc5af7d89,
+    0x7440dbf0, 0xa9f20b03, 0xe55dd500, 0x30a1384e, 0x459a7e81, 0xaebadea3, 0x41d485ab, 0x3623f8e5,
+    0x9456f8f2, 0x968ae4d5, 0x82add44f, 0xb7a6d559, 0xdad40b3d, 0xe4c48534, 0x1b1ffaaa, 0xaec26ca0,
+    0x94ed924e, 0x00f0063e, 0xa030880d, 0x65c312f1, 0xdb4c294b, 0x4d8759c3, 0x5e7a2755, 0xa51abf9f,
+    0x282f42e9, 0x4c1cde6f, 0x1d5452f1, 0xfb55286e, 0x3e337334, 0xab4a16cb, 0x2d9e8ba5, 0xd733330d,
+    0xc6a831a4, 0x63e47c7f, 0xbcc24204, 0x9ca89dbf, 0x8671b373, 0xbe590916, 0x889e40e0, 0xc8ce0c37,
+    0x6d91b122, 0x4d0cc5ae, 0xad67c546, 0x5109d0b6, 0x93d19d5a, 0x0e83504d, 0xbf088435, 0x94d7b196,
+    0x2c56da9e, 0xd021d442, 0xddf8b262, 0x7a189ad2, 0xf6a1a226, 0xb7b61323, 0x1ada0cc5, 0xde7d6c42,
+    0xbb99995e, 0xa326fe96, 0xf1f40e14, 0xdcfe7232, 0x4cc1b227, 0x4511e591, 0x408c2d75, 0xa6d9b6aa,
+    0xfccfd425, 0x87e3e9c8, 0xa285bf5a, 0xc62b0177, 0xcbbdcb8b, 0x8644869c, 0x1d981023, 0x12a47113,
+    0xc4f5e51e, 0x357a53db, 0x966f0bdc, 0x53f3bdcd, 0x6afdc946, 0xe4650d01, 0x6c6c9b0a, 0x6cd39720,
+    0x8d1d3c9f, 0xe932ed98, 0x8c608b54, 0xa3ab89ca, 0x05069c77, 0x685b2107, 0x515676c9, 0xd60cf6f3,
+    0xdb96b694, 0x82d0b151, 0x1ba65192, 0x879ec2da, 0xcabfd5f0, 0xbd1ceb5e, 0xc591dd0b, 0xb42b3d1a,
+    0x06f37c00, 0x8a5691d4, 0x982c6160, 0x36bc8bf4, 0x15fd0020, 0xf50d7998, 0xd3751639, 0x9b532543,
+    0xa8e33798, 0xf3555237, 0x26bb45c4, 0xcbf3f867, 0x7519c021, 0xcde621b9, 0x82b1c910, 0x2f31dde8,
+    0x204e8985, 0x461972b9, 0x84d222af, 0x790be96e, 0x759d6e0e, 0x377eaa97, 0x46ad1ec9, 0x083eb03d,
+    0x86497fc8, 0x270472ce, 0xc9595c63, 0xe72c5547, 0x21d928b8, 0x598fca86, 0x36cbc436, 0x3027127f,
+    0x1ecb23c0, 0x9bf0f241, 0x4f7b819c, 0xcf9a99f7, 0x9e710037, 0xa2faf763, 0x79dc2ca3, 0x9ae2de9b,
+    0xf49a7d90, 0xdc711938, 0xb86cf176, 0x3aed0e2c, 0x678f8091, 0xa3469360, 0x6e9b3e47, 0xc4c0048a,
+    0x5765833f, 0x69f1e4a5, 0x42a4f5b4, 0x76452de1, 0x22118779, 0x2f94b89f, 0xe4163263, 0x32695c22,
+    0xb24b5185, 0xa9b11e2f, 0x0d472c0e, 0x0f7a07f2, 0xe4d9edf7, 0x4c4e0fd0, 0x33b3a4bd, 0x1ec628b5,
+    0x3cd56ebb, 0xe3479095, 0x440ba70f, 0xec5dbe4a, 0x2f1878e3, 0x2f3425aa, 0x3e1f9819, 0x7b45f1bb,
+    0xf0c5ca5e, 0x9614c93c, 0x3ceb15ae, 0x2b50be22, 0xe7e35b73, 0xd82813ad, 0x9a1aca20, 0xe927eae6,
+    0xd232b640, 0x937e251a, 0x3dfc27a0, 0xe6857ff5, 0x8dcf21eb, 0xe9d5bc7c, 0x39d22a1d, 0x3b7519ca,
+    0xa871e8d7, 0x280f5426, 0x9061981b, 0x6fffb99a, 0x77a39132, 0xb4b409fc, 0x07fa70c0, 0x6fd65704,
+    0xdabf4cd4, 0xdfd92a98, 0x3f0a942b, 0x97f4ac24, 0x06941e28, 0x082a240f, 0x4a760772, 0x1cf31c94,
+    0x38e1ffb9, 0x265a410d, 0x1ab0d99f, 0xf29571f6, 0x0c736956, 0xfa261279, 0x09ba930a, 0xccaca27a,
+    0xa91f8948, 0x1b50badc, 0x91f42e32, 0x7dbe9b42, 0x880bbcbd, 0xa2e82674, 0xf80895f2, 0xff56f821,
+    0x8f55fda9, 0x0bba4019, 0x5bad42c2, 0x24508b79, 0x077397a9, 0xc13efecb, 0x19a7a3e4, 0x53294217,
+    0x1b8ae7a9, 0x6ac351aa, 0xcb3d42a6, 0x24dd4443, 0x8b016fb4, 0x25be0e27, 0xaf3930c0, 0xb4a3326e,
+    0x8b042d2d, 0x5e182695, 0xbdfb5160, 0x027e75e1, 0xebe18583, 0x79c45089, 0xde6682ee, 0x49fbe064,
+    0xdf270b35, 0xe0af5bc2, 0x9176035f, 0x84509b71, 0x1040e4df, 0xade26559, 0x3b16aff1, 0xf43c141e,
+    0x894ff6c7, 0x622e8e2c, 0xd1a7c0be, 0x49a48b83, 0xbb72df5c, 0x64f8b237, 0x5b2d62fa, 0x2b2d2e91,
+    0x3c9d6847, 0x2ec4897a, 0x93e47a6d, 0xd3ddce0b, 0xe1da47d2, 0x3d04a417, 0x3d57dce7, 0x153ccba7,
+    0xf247da7a, 0x0775f46a, 0xe84a7852, 0xf3670dec, 0x126167fa, 0x7b68e225, 0xd9afa757, 0x644fdc6d,
+    0xcdfcb0dd, 0x1513a445, 0x2445814a, 0x53524b77, 0x3f21206f, 0x61194835, 0x4e95b010, 0x4dfcbd67,
+    0x89208b4a, 0xc82bd1f9, 0x86043a20, 0xa4975ee5, 0x95616a52, 0x1793dfa6, 0xfa1a46e7, 0x0e2321fb,
+    0x1da7c1a9, 0xcd6142cf, 0xef0be4a3, 0x72e64084, 0x24117792, 0x32f560b1, 0x1e1f3674, 0xb13172a1,
+    0x6744ab04, 0x80040eb0, 0xa328a5f5, 0x970ec064, 0x0b4eef9d, 0x8a3bae8d, 0x92f4b346, 0x02ac4ac8,
+    0x67feb06b, 0x2e938a3d, 0x0d2dcc71, 0x3515bc60, 0x1b9a9d14, 0x1fe01858, 0x139aeb26, 0xbd0b70a7,
+    0xf5edf50b, 0x78bcf8b5, 0x866b8a45, 0xea176066, 0xa2cb1e09, 0x374bec2e, 0x9d0cf87c, 0x412b22ef,
+    0xc660f0cf, 0xc12a6bac, 0xffcafead, 0xc927a68a, 0xdc93ea7f, 0x830af87f, 0x35ea7a03, 0xeaeda658,
+    0x75be372e, 0xf2c569f6, 0xc3d1ecd4, 0x6ffab9ac, 0xffa52a54, 0x7d307b88, 0x83977d26, 0xd8ae50f8,
+    0x5bc584dc, 0xd6e54b10, 0x5070a5b0, 0x44726644, 0xd90093f6, 0x9e8d3c56, 0x1553216e, 0x25490ccb,
+    0x5859a862, 0x52870cc7, 0x8288bdc6, 0xf4de9c5f, 0x7b191afd, 0xc6469e65, 0x9dc6df60, 0x37399a14,
+    0x9d5bfcf1, 0x84efc173, 0xe3c26a86, 0x80223b3b, 0x12eb336c, 0x0ecdc349, 0x7cfca5b9, 0xe5214377,
+    0x647a4b1d, 0xb0515ddc, 0x1f06f4d9, 0x4bfa45f4, 0x7f5f8142, 0x32ecf137, 0x7df9ea57, 0x2b883ef7,
+    0xeb30886a, 0xedc5ec29, 0x144b1d35, 0x6698d1a8, 0x5c4a83ed, 0x660c6c2f, 0x8ed7596a, 0x46f43ff0,
+    0x1724cfe6, 0xce4ef134, 0xd12f69c5, 0xff85c318, 0x73fdfe5c, 0xbac28c55, 0x9799b8ae, 0xa3e9149e,
+    0x7e372087, 0x14deba31, 0xf78a77b4, 0x37516c19, 0xa28826c4, 0x76dfcd9f, 0xd3988e25, 0xa2b229f0,
+    0x874463e2, 0x1a3d5588, 0xebc29980, 0xd14bb82b, 0x96787b27, 0x20a9b409, 0xd221faa9, 0xdc9d4903,
+    0xfd0b1a47, 0x03eb62c0, 0x5de9bb28, 0x84ce0aaa, 0x1d25bee6, 0x4d5eefd4, 0x3e7699f9, 0xab4573f2,
+    0xc15b57ed, 0xa4997b0c, 0x68800331, 0xf62fce62, 0x09f60534, 0x61dd1f71, 0x40eb8442, 0xa13e4a19,
+    0xb437175e, 0xc8fb23df, 0xc1a6e9f6, 0x2749772f, 0x83c6c33e, 0x87de9c11, 0x0452578d, 0xd8dd2211,
+    0xbb37aa42, 0xc6fe64c9, 0x5c1bfff4, 0x454b7b23, 0x0a1da6f6, 0x73930efe, 0xf95a90cc, 0x300645f0,
+    0x0ac7f406, 0x66bede39, 0x8cfc4ae3, 0x5380c0f6, 0x5f686002, 0xb72ce95d, 0xe386ee73, 0x7e8e9aaa,
+    0x7ccf2f60, 0xa743f1b9, 0x1bd7875f, 0xd02629e5, 0xa1ecb58a, 0x6c3295d8, 0xb806f9a9, 0xe92a551f,
+    0x7284e039, 0xa9804989, 0xe75f9896, 0xe11a4d4a, 0x28ea95be, 0xe5d735d5, 0x8f572150, 0x60b9cff1,
+    0x336f98c8, 0xb15095ea, 0x33a98643, 0xa5b11e47, 0x9e2bede2, 0x385df99d, 0x3a946564, 0x4f417b25,
+    0x1512f53d, 0xc5458269, 0xa1d2056c, 0x0798cb2a, 0x7f92a763, 0xb78acbc6, 0x27e4861e, 0x1579f981,
+    0x7f0d7781, 0x6dd142bc, 0x2f1f836e, 0xbb8b98f1, 0x6af87720, 0x614b8656, 0xf2e9664b, 0xd00d07b0,
+    0xd1e56ce8, 0x4939fa81, 0xc9488938, 0x05849972, 0xc56f9952, 0xad84ec6f, 0xfe9d836d, 0x67931bae,
+    0x22f7ce04, 0x43f22624, 0x2798ff12, 0x5d6abf93, 0x61bd05a6, 0x9e102be7, 0x56573fda, 0x041a8481,
+    0xfe17447f, 0x00fe49df, 0x8e682cfa, 0x40990a73, 0x2b4fb2fd, 0x4e6c6a45, 0xd5bd5015, 0x88f9b182,
+    0x25cd2f9e, 0x28911d6a, 0x49469783, 0x151f2c97, 0xf89ec06f, 0x900ba586, 0x67374354, 0x35231528,
+    0xce448aa4, 0xa846628b, 0x870f94f3, 0x1d2122ef, 0xebf5cb59, 0x08f17ca2, 0xfb55ac77, 0x085fa2bd,
+    0x307ded7f, 0x7efd2771, 0xad74a212, 0x5814b7e3, 0x6c6fe693, 0x1c464c38, 0xc744bd0b, 0xa4b7887f,
+    0x1c8aabaa, 0x4188eae4, 0x50bb1d13, 0xdef56ae9, 0xee40ff30, 0xa1ed9f0f, 0xe79da68e, 0x16af4b77,
+    0x2c752683, 0x3b472fe4, 0x0f703641, 0x29c01650, 0x0032ff8b, 0x1ed93c8a, 0xe378a476, 0xda85c514,
+    0x628e40ee, 0x67efb5ba, 0xbf5d3438, 0x59ebc056, 0x2861fcd7, 0x7ea3cd3e, 0x9b83c5bf, 0x3d826f18,
+    0x17d13ca3, 0x763348f4, 0x30912817, 0x7880a2a5, 0xc2c9d759, 0x41659d2d, 0x7fdb15dd, 0x4e35304b,
+    0xc589618f, 0x692b8a95, 0xba719c73, 0x5144d29d, 0x33143a43, 0x6661e7d9, 0x2f90b548, 0x88596382,
+    0xd97ecb87, 0xe59e77d8, 0x0fd16046, 0x6c116250, 0x4dffb693, 0xe01878a9, 0x63cbecfb, 0x0507eac2,
+    0x7b75fdaa, 0xdcb5be3c, 0x326c0a05, 0xdf59489c, 0x579c8f67, 0xf2035151, 0x92971daa, 0x280e174b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000636573742604\
+                          52690195888927762793067532858387302060507832379389042324415617604272068231168 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432,
+    0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7d, 0x187a62f9, 0x9af02161,
+    0x00000000,
+    0x8fc1e3f3, 0xb00694ac, 0x63bdf191, 0x53c0de06, 0xffb04a27, 0x5004fd0d, 0x23f86810, 0x73c4ac3c,
+    0x15f5e08f, 0x1a7a2971, 0x9b233efb, 0x3862063c, 0x9851f177, 0x896ac1e3, 0xa728ba69, 0x1afb36a3,
+    0x8e0a4084, 0x78e8f693, 0x94fa7992, 0x4ae65c0a, 0x0f077089, 0xacda7f6e, 0x2d4903ea, 0xabc05d2c,
+    0x8eb5b138, 0x40c6eeda, 0xfd87e6cd, 0x6fe33b8b, 0x5cd5c372, 0xd734f9d1, 0x19a14437, 0x6c7e18e9,
+    0x7c3d4cbd, 0xe9266058, 0xaa16d394, 0x20a521ef, 0xa62544a6, 0xaee44e18, 0xd51accd9, 0xc5a6d483,
+    0x0a81b4f4, 0x8e106718, 0x7ad0fc5d, 0xf6114667, 0xfbbdf349, 0xa885eafd, 0xa0ed876c, 0x65ddc153,
+    0xcc0e36da, 0xef573812, 0xf7ea6981, 0x2ee2b66f, 0x2fe6a983, 0xd828ec76, 0xa58da751, 0x34925471,
+    0x19e7f32a, 0x773b4da9, 0x6e1a59e1, 0x42f632c3, 0x9be08483, 0x29004a3d, 0x3966e7fb, 0x658423a9,
+    0xef913ea0, 0x4873c86d, 0xe18f978f, 0x5e8d9936, 0x9e21d759, 0x7fa0eb95, 0xfc96809f, 0x5a693d85,
+    0xab5a8e11, 0xec8a8cce, 0x0a90de1a, 0x2d220bea, 0xd2f75776, 0x5ab55b18, 0xa7d87861, 0x9d5ff26c,
+    0x3a50d669, 0xa5143e65, 0x52ee8b30, 0x17cb8327, 0x4ebc4ed8, 0xadb6fc2f, 0x5007dc0b, 0x435008ef,
+    0x11a396ab, 0xc230798c, 0xf2dbdf10, 0x9fcd51f5, 0x362c0fe4, 0xc7627762, 0xe20e3f49, 0xab8b503c,
+    0xd20fbbc6, 0xf7436321, 0xe9a0d8fd, 0xe2217f80, 0xeb72aee0, 0x04006f2d, 0xc33b01f1, 0x31627c47,
+    0x05e54219, 0xc314fa28, 0x2583d163, 0xd8c2f9e4, 0x2ecc0865, 0x0e984c49, 0xcdedea49, 0x50824a17,
+    0xc5aa0133, 0xa4df0bf0, 0xb3762bc3, 0x2888c16f, 0x47e4cdd3, 0x1527db0f, 0x41fc494d, 0x0074f4e5,
+    0x29030eb6, 0x6d470688, 0x0f1f2e06, 0x2085f129, 0xe2071066, 0x4606c172, 0x4939da24, 0x2fd393ad,
+    0xa5f16cfe, 0x490fc130, 0xfb48fb4c, 0x2954d446, 0xa27c3f8a, 0x0add9d1a, 0x20e0e6c5, 0xa066abfa,
+    0x17ddae9e, 0xf677d125, 0x0e76aac0, 0xf835c5bc, 0x19c14c1e, 0x74ac4620, 0x9c9a8c9f, 0x752811fb,
+    0xd733b1eb, 0x7d95d05d, 0x3b9f9f6e, 0xdc33adb2, 0x8ccb85f1, 0xa596faf6, 0xa1cfe172, 0xa3097e3c,
+    0x06b9983f, 0xd90a4f1a, 0xac7abfe6, 0x8ac7c250, 0x88f33135, 0xea9aad8a, 0xa59ce2f3, 0x563c7613,
+    0x94bd8635, 0x39de4b82, 0x75242972, 0x852aa69b, 0x4db54c82, 0xf88325aa, 0x136389a5, 0x6494aeed,
+    0xb6cba43a, 0xaeab001d, 0x7da302ad, 0x70d181b7, 0x18fc9991, 0xc0427b87, 0xa3a1455d, 0x9e4671cc,
+    0x68740b15, 0x114ec4ae, 0xde6f9fd0, 0x0285bc1b, 0x2037feba, 0xb8cb6d74, 0xa001c29d, 0x998ec68b,
+    0x6d7d95a7, 0xee66a660, 0x319d1a5d, 0x338aff19, 0x8afeaced, 0x971207b1, 0x0ac3e0bc, 0xfcf90620,
+    0xbf526791, 0x42245a53, 0x521441ff, 0x8dac1852, 0x22fe89c1, 0x32994823, 0x8a218e79, 0xcd4574ad,
+    0x133ffbc5, 0x39826af5, 0xcd6444fa, 0x30a5b8d2, 0x56aca235, 0x514e0b7f, 0xcf31651d, 0x9090dbed,
+    0xf7ad2d9c, 0xc4d56246, 0x95903e5e, 0xe3c388ff, 0x94ecca9e, 0x8ee1e319, 0x95e47ab8, 0x2a339954,
+    0xf0054f91, 0x190f9e9c, 0x286aaddd, 0x4529f922, 0xcc0d03da, 0x0133e221, 0xbc591ac8, 0x45c33114,
+    0x2c4d7206, 0x32d08055, 0xe3f8e337, 0xd894e18b, 0x19725167, 0xb1838527, 0x5c74b27c, 0x7d73d5c4,
+    0xd2431f6a, 0x5fe7ec1e, 0x8c55f1d1, 0x877c7e41, 0xf9534cff, 0x4195040d, 0xf5a6d88b, 0xcab97775,
+    0xc9f5474b, 0x293b3840, 0x2d9b96fd, 0xae0e4fc2, 0x5e6b51e3, 0x9d9557a2, 0x9c389591, 0x528c70a1,
+    0x1349e7db, 0x3d4d714c, 0x3a197742, 0xb7f1d265, 0x19d21b8d, 0xeaa2c08b, 0x8075b584, 0x4ae63066,
+    0x3774b20b, 0x45b66942, 0xbf4f4431, 0x9e46f18c, 0x25c838df, 0x94ceecbe, 0x2999c260, 0x4295168d,
+    0x9c55eea4, 0xb69698c7, 0x7eae2410, 0x8a4a7510, 0x1931ddba, 0x861f259c, 0x328e4f1a, 0x15148f0a,
+    0x8baac5e2, 0xda688286, 0x5a48809c, 0x4c2631f7, 0x4ad2969b, 0x424f8db1, 0xd33a3c4c, 0x744053a2,
+    0x20c2c962, 0x3694cf08, 0xeda87f1d, 0x99de94a7, 0xebc73535, 0xa5649ae5, 0x07391964, 0xdea78cb4,
+    0xe2bcd346, 0xd6cca4b6, 0x64a54ad9, 0x749a010a, 0xf3508115, 0x0f3f63cf, 0x1c4287f3, 0xc840ce2a,
+    0x41925b63, 0x6a2f310b, 0x84325223, 0x11ccdb3c, 0x549d6a3e, 0xcb25f4ee, 0x56f6ca54, 0x60eef55c,
+    0xcbf148ff, 0x8987c724, 0x4acf127a, 0xa5772ce4, 0x1c1b2f86, 0x023ee705, 0x080a5668, 0x755a3849,
+    0x1d04fbf1, 0xe0f2a6fc, 0x8257c7ac, 0x74c7c0c0, 0x1d565598, 0x000c67c2, 0x604e4c20, 0x669a701b,
+    0x46f40fd1, 0x03ececc2, 0xe756b7d4, 0x3a6c1e23, 0xe1063393, 0xce5bdbac, 0x56b0f221, 0x83eb8091,
+    0x8020cdc9, 0x61b1b80f, 0xced47499, 0xdb3ace75, 0x9d6d3042, 0x88fc6c7e, 0xe31f332f, 0xd061f892,
+    0xec0e1961, 0x3f997f26, 0x1147776e, 0xbf76e692, 0xd18e37a1, 0xeecb6521, 0xa7063951, 0xcf520c34,
+    0x736aeefd, 0xd67048c7, 0x2ab375f0, 0xa00ad417, 0x35ca670d, 0xf80ddd95, 0xaea53747, 0xa172b658,
+    0x194acee1, 0x60e590ff, 0xf31f5147, 0xa149ed10, 0x5c16f650, 0x37534afd, 0x326220bb, 0x78ad3610,
+    0x3ae346a1, 0xc2e36026, 0xf6bed35f, 0x128d6c9b, 0x43e039ce, 0xc38554bb, 0x37a76689, 0xa2b34580,
+    0xbcc3608b, 0x9f71fd00, 0x4aec4238, 0xbf8ed721, 0xa3b126b5, 0xfb9e04cc, 0xcce086ab, 0xe273d7a0,
+    0x7dab47cd, 0xddeef223, 0x28fdd9b6, 0xb2aba93b, 0x2c65055f, 0x915f9051, 0x7aac0224, 0x2f8a9563,
+    0x7638e584, 0xb1ddd036, 0x1c0e4207, 0x8210ab69, 0xfb00dec7, 0x5f234e11, 0x2fa56fd1, 0xd28e578e,
+    0x8f286597, 0x3a93ebed, 0xc0a899af, 0xb5f260e8, 0x6688622f, 0xf91f7ea9, 0x0a20b44c, 0xdae681f8,
+    0xc2287cda, 0x5f707a81, 0xf53f2e99, 0xe3895aff, 0x1069a491, 0xcd84f3fe, 0xe74d5142, 0x84f7daab,
+    0x891f7d43, 0x58d3e4bc, 0x284c6331, 0x1aa7dcde, 0x5657b6ec, 0x5288b4c4, 0x5b32ebb2, 0x2433edf3,
+    0x30cc9d16, 0x17b37ed0, 0xd4d6727a, 0x6d433809, 0x0cb8245a, 0xaa3222c5, 0x75cfd62c, 0x241e4120,
+    0xc0ce82f8, 0x417bd9d0, 0x26602b42, 0xb491218e, 0x2c44f321, 0x584853ee, 0x1730a991, 0xbd86fc98,
+    0x7eb82468, 0xf904c19d, 0x968e5861, 0x7d975781, 0x947d5569, 0xc22c6858, 0x079331a2, 0xc31d9c9c,
+    0x08d6d41c, 0xedd2b4bf, 0x5a662df7, 0x9ffeabbe, 0x3994369a, 0xcee85a66, 0x1300aa4a, 0x43432f73,
+    0x10c3853b, 0x479291cf, 0xb1c6026f, 0x170526c2, 0xdbca1771, 0x40066c75, 0x1fe5f2ce, 0x52cbfcd8,
+    0x3fae83ca, 0x2affb34a, 0xc8ec2fca, 0x69524aba, 0x48facf06, 0x2867d246, 0x53b56ddf, 0x9ec13e1d,
+    0xaf0a36f9, 0x1e7aec69, 0xaafe849e, 0x1a2257fa, 0x96ef3e04, 0xf191eb5e, 0x0f8baca3, 0x52a826fe,
+    0x184aaf41, 0x8b11f3b9, 0x7cb7ab36, 0xfd41d12f, 0x7c90beac, 0xb89e34cf, 0x78b58dbb, 0x6053c441,
+    0x0efce7cd, 0xd2b7ece3, 0xc425eebc, 0xc7f7fc73, 0xf1277113, 0x780e0eb7, 0x5849af7a, 0x9ac8be51,
+    0x745bfe34, 0x0f09d83e, 0xe822e3b6, 0x223a2c22, 0x251e99d3, 0x6b0bead5, 0x73245184, 0x3b3d6644,
+    0x94393e6f, 0x36e04250, 0x3e473f79, 0xf1c1bb89, 0x6d83da8f, 0xa9621354, 0xaf702278, 0x040e6ee8,
+    0x9155f59e, 0xe2bdbe00, 0x0b38885e, 0xf6e39c3e, 0xc4c04bf0, 0x0fbe19a4, 0x0f709d15, 0xeb47eb70,
+    0x58235cf8, 0xc09efdf6, 0x462318bd, 0xf959a71e, 0xaf8f1689, 0xbb7f1222, 0x657a7578, 0x4ded946e,
+    0xb6447085, 0xd3b69bd9, 0x967e537c, 0xac00bebc, 0x616af810, 0xd08722e9, 0x33a28ed3, 0x0bbcf93b,
+    0x43b3d153, 0x735df72b, 0xf2581f5d, 0xf222b8e7, 0xd47133c5, 0x9a754e17, 0xca3a247f, 0xdf322a34,
+    0xb66d7c7e, 0x40ac6cb9, 0x01379ca3, 0xbb8b3b96, 0x0da2fa3b, 0x123961be, 0x1355a889, 0x544be374,
+    0x12030cfd, 0x562adbf2, 0xa3740344, 0x9fc118d8, 0xb829b509, 0xbf3a70d6, 0x150efb9d, 0xa36e574c,
+    0x9c9eeb17, 0x9852f90d, 0x0009c291, 0x011d16b7, 0xb639ece8, 0x00aa07b9, 0xde0579d7, 0x4158cb4a,
+    0x51892064, 0x2d701433, 0x99c3e7f6, 0x819f7359, 0x13398730, 0xab06e1c0, 0x423c9e2a, 0x31cf44ea,
+    0xe7e2f6fb, 0x27e1e2ab, 0xd0b10cea, 0xc37f9ddf, 0x115a54fc, 0xf14654d8, 0xf714adef, 0xe286b0b9,
+    0x13b9f670, 0xc0c78b4a, 0x4c39b47b, 0xb9cb8fc1, 0x7d0a26ea, 0x1ea98b93, 0x09157a03, 0x05f0912a,
+    0xd81ec1a9, 0xeebf4c8e, 0xd91321ca, 0xbe226385, 0x1dd4dc5b, 0x266f75e0, 0x223bde9b, 0x5d8b8911,
+    0x5e8baf45, 0x29b317c0, 0xb2a2433f, 0xd3cc6141, 0xb491fdcc, 0xca87dfc2, 0xe5c82e8c, 0xfe7470e9,
+    0xf513270a, 0x342b6bf3, 0x41955c58, 0x87207b0c, 0x5908cb40, 0x43d72741, 0x025742c9, 0xe101b5bd,
+    0xf1fc166e, 0x01eaf0ff, 0xf205912a, 0xc35683ff, 0x5d01a1fa, 0x1788c682, 0xd8c74a2d, 0xcc9f1609,
+    0x873b7ff7, 0x53e96b0d, 0xe8994cda, 0xd43ea11a, 0x7627bdb3, 0x821891e5, 0x91ea3cb1, 0xc8618f76,
+    0xb5dc7c2b, 0x023d4985, 0xad0dd476, 0x3911ad16, 0xfb2c4ac1, 0x9ea43cd8, 0xed948d77, 0xe04e6ead,
+    0xfcc605d5, 0x0cf36870, 0xe0cec1f1, 0xe823644d, 0x8df69550, 0xccab7fed, 0xbe0341e7, 0x10ee5c84,
+    0x6a054cb7, 0x29c6710d, 0x26c9fa36, 0xd62f71f2, 0x0b8c8f5e, 0xcf027a67, 0x81d8f8d1, 0xe793f855,
+    0x3886a8e0, 0xf581da6e, 0x510ac4f0, 0x9bca8438, 0x46dd304c, 0x0c60b236, 0x3fe814c4, 0x1c8e8bf0,
+    0x8539e067, 0x525d5160, 0x88b69838, 0x2873e7f5, 0xec6d448d, 0xcc51dad8, 0xe2cee275, 0xa6c84d3c,
+    0x66d5a948, 0xb9fa9adf, 0x15cb2c47, 0xb484a093, 0xf7d2b9fd, 0xfd0e7ca2, 0x4d935052, 0xbae324ee,
+    0x3d6f6552, 0x13700806, 0x3f15b42c, 0x3fd5843b, 0xf0068b0c, 0x13e72c14, 0xcc39cea5, 0x3c2ff796,
+    0x1f419873, 0xf3ecab7e, 0xb489ae16, 0xc469ef9a, 0x0fa5b40c, 0x7bc35819, 0x335bc148, 0x381ba8f8,
+    0xc2bc8d46, 0x3b78989c, 0xab448e93, 0x503ce26e, 0x931aa3b8, 0x8b8cbb51, 0x84c66b85, 0x20ea7c10,
+    0x2ff6db88, 0x987c7dbd, 0x294256d0, 0x60d42711, 0x3fdff83b, 0xc2e7f9c7, 0x98b1ad18, 0xb928f109,
+    0x95686940, 0x7b0e464a, 0xca506b27, 0xeaf43ccc, 0x53b1127f, 0x1415835a, 0x3135b523, 0xba750512,
+    0xbd984b58, 0x9201b0d4, 0x09bb5b0c, 0x00775608, 0x963a1cc5, 0x41cbef39, 0xeef51131, 0x21ee1342,
+    0xf03892b8, 0x1dc6b2b6, 0x419cee55, 0xa462b7b0, 0xc42a6ed2, 0x07be3dc7, 0xda347c43, 0xd2791c10,
+    0xe57c8754, 0xb354d5ec, 0x6871fced, 0x464fd5be, 0xcfe0b0c0, 0xec7c23a5, 0x8121419b, 0xb07da160,
+    0x74a0b451, 0x1c026058, 0x218057b9, 0x81effd7c, 0x71db64c3, 0x8fba9e56, 0x1f09af0a, 0x871decb6,
+    0x8fc5a4fa, 0xc6b07679, 0x416f0690, 0x8b4db8bf, 0xbb050829, 0x82192a19, 0x9ceec254, 0x57be9a7d,
+    0x4bc3fba9, 0x7e4bf2f8, 0x1dd96784, 0x75a2f520, 0xccd9879b, 0xefa30837, 0xa590dafb, 0xca368ad9,
+    0xd1ec4966, 0x76345981, 0x7e7556cb, 0x258051b7, 0x2c9a8b38, 0x84ac7c99, 0x525bfcda, 0xf9d99048,
+    0xdb11d53d, 0x9dd8570b, 0x9339335c, 0xbe64128b, 0xc8d16657, 0x3ad0bf2c, 0x837cf62b, 0x4cd24bde,
+    0xb05f91ac, 0xdac1dfdc, 0x48cf3c24, 0x73ddaa05, 0x3f56571f, 0xb1c06dbd, 0x5a84e685, 0xc8399609,
+    0x3af1847d, 0x7404993c, 0x2e6b5ca2, 0xc91c3479, 0x354354f8, 0xbf9ae9e9, 0x97c2078c, 0x7107ba84,
+    0x1d3a44a7, 0x548de8d9, 0xb08eecaf, 0x669626ca, 0xfed57546, 0x4ad001ef, 0xa1782a95, 0x76d542b0,
+    0x3086e045, 0xd635c395, 0x7d1bf312, 0x26ed33dd, 0x01b2585d, 0x261760a2, 0x46d3837f, 0xc1416b2e,
+    0x9641bdf1, 0x8faf12e1, 0x739a382c, 0xe7d9c108, 0xf7dc6829, 0x58867e17, 0xc261d80e, 0x16220639,
+    0xbaafe189, 0xa8cd9cd9, 0x7ecec95d, 0x8aeb8346, 0x6d5395bd, 0x2d715b4e, 0xbf28679e, 0xa4ef1c81,
+    0xfb941fce, 0xfbbb02de, 0x38982e8e, 0x9cd07340, 0xce0009f6, 0x65bd0cee, 0x01eb4ff9, 0xb0918d36,
+    0x45c07ddd, 0xe42983f6, 0xb8df9859, 0xa607eb07, 0xd5169dab, 0x20e99a2e, 0x504c98f0, 0x50759ccb,
+    0xa88d6725, 0x95389e0f, 0x67800eb2, 0xde47221f, 0x9023a5f6, 0x2733c31b, 0x5e2390ce, 0x3b68335d,
+    0x16cef4fc, 0x0c17f1c0, 0xab918354, 0x974214a5, 0x3c690b3a, 0xe630e94c, 0xa9dfc455, 0x5790d647,
+    0x3b727630, 0xe7e7bdd0, 0xffad722e, 0xa5516eac, 0xdc4e780e, 0x980d46dd, 0xc8dc098b, 0x591fa4eb,
+    0xd7da53e7, 0x3967d1cc, 0xb0d1a8aa, 0x527554cd, 0x425ed6c1, 0x3f1030a4, 0x79419c32, 0x638767c4,
+    0x60ba4de6, 0x73b389b3, 0x4c627cd5, 0x07f703f8, 0x824eb8b4, 0x040f70c9, 0x62ccf8be, 0x322987c9,
+    0xa4c3f25a, 0x4e6863ca, 0x9f3b2af7, 0x33fb0e1d, 0x052bac13, 0xc5f9f86b, 0x8ef118d8, 0xfd1d6015,
+    0x79b0b9ea, 0xbf9f9dcb, 0xa9005896, 0xec839697, 0x458e9ccb, 0x952e4aa8, 0x046cfd99, 0x50dfad24,
+    0x82441a4b, 0xf6cfb191, 0xf6ad2d58, 0x17009146, 0x44b02c26, 0x1dade037, 0xd64e7626, 0x754ba8b5,
+    0xeeaf8a37, 0xcd93f110, 0xe6489d31, 0xa8c30cf7, 0xb8b0ee78, 0x5e0bf181, 0xeec92028, 0xb5ce964c,
+    0x8bd7ecde, 0xc9062ebf, 0x29d996e5, 0x30a1c73e, 0x9cd23271, 0x79dd1d76, 0xf56e917f, 0xf4c5602c,
+    0x65f3e878, 0xf2dbaba1, 0x12e5f5bf, 0xefae9b11, 0x80bb2612, 0x10b5f1d9, 0xcc554097, 0x3cd8208c,
+    0x4cc22d13, 0x919076c4, 0x5bc27ebd, 0xce085b1a, 0x12c4e38d, 0x80997896, 0x67bd7a73, 0xed411542,
+    0xf82a464e, 0x2c61036d, 0x10954838, 0xd87d546d, 0x74a3de23, 0xf881b811, 0xd4e4a307, 0x9a251789,
+    0x3904fad4, 0xc35811db, 0xc22a9704, 0xf8066a83, 0xeabbc883, 0x825b5cc1, 0x7666609a, 0xcba832c7,
+    0xd659d25e, 0x6997c16e, 0xf2e4f4ef, 0x38fb0ec9, 0xe51fc9ef, 0xf9274c7e, 0x204074a9, 0x27d67617,
+    0xab08c888, 0xa1347216, 0xef025035, 0x907d552f, 0x7eac4a7c, 0x469082f9, 0xe02c26ee, 0x64b63dd1,
+    0x46bbe34c, 0x614126ad, 0x3999692e, 0xbabfeeb7, 0x5f234bb6, 0x8e51c17e, 0x817ae7b1, 0xe43b0af1,
+    0x258820b6, 0x85b39e27, 0x0e357169, 0x66deef9b, 0xd6cdf7d0, 0x608b2fc4, 0x392e6364, 0xcbb6cc70,
+    0xe5b0133c, 0xdad53091, 0xc1f22372, 0x629d8cdd, 0x0f90dc66, 0xeecaaed0, 0xbc332f6d, 0x82caf53d,
+    0x1dfa98f3, 0x10458272, 0x1637b76b, 0xa6e19d62, 0xa23f9854, 0x8f12011b, 0xaf39cffb, 0x97e51c7c,
+    0xa6757c4a, 0xe226297c, 0xe52c881a, 0x5c02d7a5, 0xef53a83a, 0xf3cfd5d5, 0x7c51b73d, 0x060513fa,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000318286871302\
+                          26345097944463881396533766429193651030253916189694521162207808802136034115584 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19,
+    0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbe, 0x8c3d317c, 0xcd7810b0,
+    0x00000000,
+    0x87a66be3, 0x514be58c, 0x1e33a544, 0xdbc598fc, 0x7fecfb09, 0xdca9e2b1, 0xee3d28a7, 0x682d2cfe,
+    0x81ed12a9, 0x60943510, 0xd273695b, 0xe22b02ec, 0x9e85211b, 0xa4c5728d, 0x10c471a3, 0x739b5ba7,
+    0x0639563b, 0x5f87bbc4, 0x0624ad61, 0x2003a7fc, 0x8236010f, 0xf70bba8c, 0x9473eac6, 0x01efb91e,
+    0x89278b16, 0x95321215, 0x85967a24, 0xd7ae83c7, 0x07987718, 0x56d24799, 0x3deec2a6, 0x30db6715,
+    0x4eeb7f35, 0x76e8267c, 0x6112c3c7, 0x04879029, 0x4c847848, 0xc282aea0, 0x019facd0, 0xbb797ef1,
+    0x2d901bf2, 0x9ca9d927, 0x683caddf, 0x7f844b85, 0xef2d6ad0, 0xaa18bd8d, 0x6e8a4394, 0x5c6b0bf8,
+    0xc2a1ac7b, 0x6d1fd44a, 0xcae1efbb, 0xa3329214, 0x7a32d5a8, 0x1db6ce86, 0x64b9a27e, 0xf6e4fb72,
+    0x5b81f231, 0x9f13ee48, 0x628f0851, 0xd0e6d9fa, 0x3f82a91a, 0x2c85df55, 0x44b432d5, 0x3cbb3290,
+    0x6460772f, 0x468e6be5, 0x1681c1fe, 0x8e2d2d7a, 0xc0582c4e, 0x894faaee, 0xd506478d, 0xe5734882,
+    0x9f60bb16, 0xca46f9e4, 0x1d72f869, 0x04c55d16, 0xcc0a6f59, 0x312028bc, 0x3db4338a, 0xf957b64a,
+    0xcc5276ea, 0x3c876cf3, 0x119f6641, 0xe43b1e8e, 0xcffb541b, 0x9c39d130, 0x6fca845d, 0x8322f91f,
+    0xb85194d0, 0x7ce7dbc8, 0x7427a918, 0xb45c2c1e, 0xba1d7df7, 0xdf4b1e4a, 0x3288afcc, 0x6937fb64,
+    0x7eb03763, 0xf4f9de0b, 0x03029302, 0xfc13e401, 0xdc349215, 0xe447e467, 0x6ad02a7b, 0xe9655a1e,
+    0xd3b4e8d6, 0xf3bf1ca7, 0xb61d00bb, 0xa4484baf, 0x1d2f227d, 0x5f8d7817, 0xdc4aa573, 0x5177d0bb,
+    0x2a50d361, 0xc5dbbb06, 0x6edcca9f, 0x46f4b44f, 0x7883a4e4, 0x4dcbd309, 0x3c403893, 0xe308dd0f,
+    0xbf6f7f87, 0xc4753d98, 0xc6e51c9a, 0x79ad090d, 0x1d3c2205, 0x58329692, 0x726c3040, 0x642a0b45,
+    0xc6fbcd64, 0x5c9623fe, 0xdc73ff42, 0xe7d70e37, 0x9c2b8a2f, 0x9340bae7, 0x07fc6bd8, 0xaa726485,
+    0x6fbc5cc6, 0x6457994a, 0xabe5a6fd, 0xc245f452, 0x630d13d3, 0xdab429b0, 0x7afd90c4, 0xfbd8eaea,
+    0xbe1a8184, 0xd170e9d5, 0x55ccb8d5, 0x8895498c, 0x698b3015, 0x290a6e94, 0x35629e49, 0xe2d3c0d0,
+    0xc941a4ec, 0x9b666349, 0xc33e5568, 0xaa5c99dd, 0xbca324c9, 0xfaf248a4, 0x6c5c100b, 0x535c06ba,
+    0xc1503ba1, 0x6bd89db3, 0xf5b8724c, 0x1190e73e, 0x1b6ad100, 0x725b2cf1, 0xfb34b3a7, 0x9ae3d817,
+    0xc67ece38, 0x51b19258, 0x06943fdf, 0x884865d1, 0xe5092ea1, 0x14c58040, 0xcdd010bc, 0x9cb8c5ba,
+    0x0354e4cd, 0x2a9e5b00, 0x3d5fb2a3, 0x54f0e696, 0x7f9d47c7, 0x2ee2f03b, 0xf10198d4, 0x72f097b0,
+    0x8e10cbd0, 0x0aa54159, 0x1dd859e8, 0x5cf55b21, 0xa180f7fc, 0xf04eddc3, 0x678590b1, 0x3b6c147c,
+    0x8235adae, 0x9d0c387e, 0x2739a669, 0xd78f3690, 0x1fd37dd5, 0x6fd7cd7d, 0x0924cb29, 0x402a7a2b,
+    0x913c0737, 0xb05d1ee5, 0xac4c8f5d, 0x364d1b47, 0x30bae086, 0x27873fe8, 0x14fb4ae4, 0xc1c9bf2c,
+    0xc2b8d283, 0x3ec75fd0, 0x708bb97d, 0x15f39f0f, 0x1d5f87f8, 0x260f2c2a, 0x73b29506, 0x4f42606b,
+    0x3598f068, 0x4e46b9ea, 0x74bf2908, 0xea950471, 0x4358ed7b, 0xd24607f6, 0x978bf2cb, 0x1be13ef6,
+    0x681a3cb4, 0x9a379f17, 0x9b466e3e, 0x1d5f325f, 0x5b8b22dc, 0x335300af, 0x5ce7f8da, 0x8b0cc0fc,
+    0xbd1b01d7, 0x8749d7e3, 0x8b50ca7b, 0x3c57a1c5, 0x539944c7, 0x37cadc0c, 0x91edcc69, 0x456d07ef,
+    0x9be28ad7, 0x1cda612e, 0x8b469790, 0x483627b8, 0xf83fcb2c, 0x91b9ff5a, 0x751b2d4e, 0x86561adf,
+    0x9f41398f, 0x4aa9b4bc, 0x40411110, 0xeda85673, 0xec06954e, 0x01b8aeb9, 0xed8d4990, 0x42d3d318,
+    0x3b733ffa, 0x1b403861, 0xc918550b, 0xebc0bdea, 0x073d81fd, 0x88f039ed, 0x5bf383fd, 0xb0f9f902,
+    0x27f30d41, 0x2edbf25c, 0xd5536f16, 0x62e488c5, 0x70cabba6, 0x29f31c28, 0x5e4cde2b, 0x63e939d1,
+    0x922ce0ff, 0xc39e86eb, 0xa27dbc0d, 0x7467d1fa, 0xc846d5b0, 0xf6f9f5fc, 0xb029ae3d, 0x656972e2,
+    0xfa24a6e5, 0x9a56ef1d, 0x25580d43, 0x11a413c2, 0xf784a5da, 0x578416cb, 0x18bf180f, 0x85552857,
+    0x16745d81, 0x593b5e87, 0x5af4cab2, 0xbcdd1831, 0xbe64dd51, 0x2e4974d1, 0xcce24cd6, 0x5c08b2cb,
+    0x46ff321f, 0x9391d725, 0x75c38b8a, 0x6f4adf08, 0x4c5d1d43, 0xcf4b950d, 0x3328ad86, 0x147538be,
+    0xfd6c9fa6, 0xdaa92507, 0x9f9a48e5, 0xb8c8bc2c, 0xca170603, 0x63906932, 0xa9c367f3, 0x91633bfd,
+    0xefde7918, 0xa4b97160, 0x814f53be, 0xde0a9fda, 0x287d75d4, 0x5d84318b, 0x8d84f9b2, 0x1e911383,
+    0xebd7d9ed, 0x904e471f, 0x07ab0788, 0x79b817e0, 0xfc62ea86, 0xdbe7323b, 0x1ef4ea76, 0xf92e76d3,
+    0xa8949c3c, 0x6588daa3, 0xe8ad9e60, 0x1c2e4e61, 0xb4dc8267, 0x549218d9, 0xa30e7488, 0x431cd5f2,
+    0xc8e11ba4, 0x496d6467, 0xed73516a, 0x11487ac0, 0x04876854, 0x57591e00, 0x0563e8f0, 0xfa0d9824,
+    0x048950e1, 0x957dad00, 0x790a6beb, 0x19e81b4f, 0x21a26d89, 0x997bab99, 0x1bf4a8b3, 0x9821c757,
+    0x0faf0fd8, 0x6dce196a, 0xbf2bed20, 0xad55f112, 0xa098d3bd, 0x932d6fbd, 0x62194013, 0x267dd950,
+    0x1701d220, 0x800668fa, 0xac84eb55, 0x5b5ec820, 0x5e3e6560, 0x3841db13, 0x5ee34c48, 0xfa81a147,
+    0x749d2d07, 0xbd45b321, 0x5d2aaa8d, 0xe7e71962, 0xe87022a3, 0xbb65f5be, 0x603a5916, 0xf17b6812,
+    0x836b6599, 0x5371ce2a, 0xbd7174ef, 0x330a47de, 0x151ba298, 0xd434943a, 0x80298a65, 0xe4b500e6,
+    0x0a805487, 0x94fa98f4, 0x42b30ce3, 0xc3ed0a1b, 0xf38f4874, 0xbb9dd74b, 0x2200af39, 0xdf271eaf,
+    0x2286bd82, 0x0f06db75, 0x53b1ca13, 0x1f5c3421, 0x995f3aa1, 0x27cd576d, 0xc991664b, 0x89e22eed,
+    0x676b6b15, 0x3f657910, 0xfeec29e9, 0x94734db2, 0x6dfd41e1, 0x4425cef5, 0x3e7ee89e, 0x6bd91d31,
+    0xe7a2812a, 0xd31a48d2, 0x343c9fdb, 0x46f83665, 0x5e536c21, 0x5e46ed92, 0x810992da, 0xae093220,
+    0xef5b68cf, 0x3b6e8fff, 0x446dd41b, 0xd1ea7e6e, 0x9ad0bba0, 0xaaf415a6, 0xe5eafcc8, 0x49b5c038,
+    0xdba58880, 0xa67e8a14, 0xd94b4718, 0x8401cd76, 0xc2a4fbd2, 0xf54d2fca, 0xc9468598, 0xaace83bd,
+    0xc18087ed, 0x6f2e18c9, 0x23a48d0d, 0x9f0c267b, 0x1e96c544, 0x541144c7, 0x94285388, 0x91e6f9b8,
+    0x5f37f30f, 0xdd061a42, 0xf7ac4c71, 0x0f0ff9b5, 0xeeba5c77, 0x6544f88a, 0x25c94cc5, 0x4c2fca92,
+    0xc8b6aacf, 0x954973f6, 0x0716dc02, 0xcb0b2cff, 0x8b250ecc, 0x797d945e, 0x2b5e05b1, 0xb50604b8,
+    0x143dba0f, 0x0391e438, 0x18ff31e9, 0x68463f8b, 0x513091ad, 0xf155fd7e, 0x34e3ed23, 0x07c4ac8e,
+    0x8c802a7a, 0x00ad30f9, 0x2a8c01f0, 0xe000a896, 0xeea2b11c, 0x48277efc, 0x16915163, 0xff5ff586,
+    0xeb0df6a6, 0xc2e05d8e, 0x74d6371d, 0xd6580e85, 0x178091e8, 0xc26efdaa, 0x31b873b7, 0xa55f4ffc,
+    0x946cadc4, 0xe6fca988, 0x4c6450be, 0x5c10144f, 0xd0dadc3d, 0x5cee133b, 0x69e7d6a2, 0xf16d51b0,
+    0x6d37eb4d, 0x567cb25a, 0xea2c0dc4, 0x52a6c4f9, 0x6980bdd5, 0x5e507eb2, 0x8a3e4a97, 0x13bb1c17,
+    0x6e63b464, 0xf82d4bb7, 0xefb6b2d0, 0x53dc155f, 0xd86a630c, 0x669254c4, 0xe32807b4, 0x33afff1d,
+    0xd5863ade, 0x232915a1, 0xf15e1cbd, 0x9232eea5, 0x989fe0bc, 0xb455beac, 0xdd874828, 0x1407a980,
+    0x2fda1494, 0x47e8ee7c, 0x81dcd25a, 0x3ca313c2, 0xc58fb390, 0x9c877f09, 0xbc537923, 0x289ce23c,
+    0xa9aac40a, 0x5008dbf0, 0x09671f7c, 0x0bafe704, 0xe39d8bb9, 0xab0c765c, 0x7a40bba5, 0x41123a76,
+    0x1e20b62e, 0x69046d87, 0xc9afe169, 0x976b7953, 0xe8c8e958, 0x8e0d0cf8, 0x8402ef5f, 0x5d08de54,
+    0x757cd8aa, 0x5119486d, 0xc73cb68a, 0x022c976e, 0xd22d15f2, 0xcd8bbc51, 0x708d8f28, 0xb687fff3,
+    0x1d238d2e, 0x70f986d4, 0x9b4d6689, 0x56f6d427, 0xd4174154, 0x6eb7923f, 0xdb54f2c7, 0x0ecfaa6d,
+    0xa2dd4ee5, 0x3c3c39d0, 0x5e4ca369, 0x50b49bad, 0xcb99f579, 0xf7262f86, 0xc4ebbb81, 0x23834f6a,
+    0xc0172f77, 0xeee1ad71, 0xe2620c00, 0x6aace9a9, 0xac8ef3a0, 0x8a236735, 0x3cc0a4f4, 0xc669e728,
+    0x8826752c, 0xcb5401d0, 0x455227fc, 0xd4b2adce, 0xec9f06d2, 0xa8d0608f, 0x620cbba6, 0xf8774090,
+    0xdd01a9a1, 0x0f6e84b1, 0xbb00c01c, 0xb6c8b1cc, 0xbfe70000, 0x7dda4d4e, 0xb4843e9e, 0x0157ec29,
+    0x27109550, 0xa514ee5d, 0x20cd707a, 0x446bb197, 0x90178119, 0xb4800de9, 0x4eefe561, 0xaf7f90fb,
+    0xe1572c94, 0x6dc656a4, 0x3fecb814, 0x0e74001e, 0x215cf56d, 0xf7605a72, 0x4d0eba57, 0x13a73ccc,
+    0x8699542f, 0x8302b458, 0xc97ddeb8, 0x62ab5351, 0x131a7e9e, 0x2a23fdc1, 0x8eb681b3, 0xdee8ffc5,
+    0x9b64c7d1, 0xf3ba52f9, 0x6597faa6, 0x676ffb14, 0xcf056512, 0x5a48e8db, 0xb5b309b3, 0x813e296e,
+    0xa40707fe, 0x6c93cdab, 0xdd5b117f, 0x05657ed2, 0x758a81f8, 0x30ae9379, 0xf671c22f, 0x0fec970f,
+    0x5395fb4a, 0x80828e77, 0x49159aee, 0x81518b43, 0x65700d07, 0x14c5d7e6, 0x926040d0, 0x1627d539,
+    0xc71c643b, 0xb1e187bf, 0x39224675, 0x0ea07470, 0xe8ec2c67, 0x14dae3de, 0xd9da6ed6, 0x6869b0da,
+    0xa12b3c63, 0x43bbef5a, 0x29780017, 0x8ea3b0e8, 0x82a3acab, 0xcec978df, 0xc67a3993, 0xe449a356,
+    0x1cc135dd, 0xf22e632a, 0xf55298cc, 0x4e25732f, 0x5330b228, 0xd67d1294, 0x1aad1be7, 0x26d89d0e,
+    0xf050e309, 0x35c37282, 0xb213df03, 0xa46fa824, 0xb71338b0, 0x4dde8278, 0x367747ef, 0xa0ed78c6,
+    0xe9786692, 0x29d9f1e4, 0xc5996254, 0xe075fd14, 0xc100cd51, 0x783ddec1, 0x96783989, 0x63460d7e,
+    0xcf1fe2ee, 0xeed244d5, 0x9fd65caa, 0xe7587d5f, 0xf3ae708e, 0xfe5a9596, 0x8d415081, 0xebe68b87,
+    0xa820cf4a, 0x7237d52a, 0x00121092, 0x04b6cbf9, 0xed7df1f8, 0x47b1a261, 0x529b6e0c, 0x92fa7e58,
+    0x0c747697, 0xebec0469, 0xa7699ff0, 0x984993b3, 0x19b08c45, 0x57688311, 0x1ef6e3f9, 0x8f3cb83c,
+    0x920e8f8b, 0x93e82eed, 0x62a9aef8, 0xe04bc2d5, 0x5d66d338, 0xd6cb38f6, 0x65b4a3be, 0x76ca6691,
+    0x9cb0fb92, 0xaf24da1c, 0xf23e4590, 0xfa056c02, 0x1998bd0d, 0x40b60dc9, 0x4b1260a9, 0xe30d6192,
+    0x5e07ac0d, 0x581a7081, 0x5978137b, 0x571223c5, 0x9963a584, 0x64c1baa0, 0xf2f84a5e, 0xede3bb03,
+    0xa6d7efad, 0xcf09d62f, 0x41bca384, 0xe1810579, 0xdbdbfda6, 0x5623abe3, 0x5c90a961, 0x14a0fbc5,
+    0x5ab9a1f5, 0xe674738f, 0x25fe31b4, 0xc0415fb9, 0xbe0c3a58, 0x8f5e5a8c, 0x01d59790, 0x064e25e2,
+    0xd7a0a552, 0x37cf47a7, 0xfb8cdbc1, 0x2e7c8e52, 0xcdffc68a, 0xd10c8e84, 0x7bd3dc5d, 0x70f961fc,
+    0xe765f66f, 0xfa5133f4, 0x8505b516, 0x285440c7, 0xa40c92bc, 0x926011f8, 0x80bef611, 0x1129d439,
+    0x4ada686a, 0x40731e9a, 0xafd50071, 0x958e259d, 0xd98db4e4, 0x799fc38a, 0x2e2f6448, 0xb2ed3ee5,
+    0xffbb9256, 0x3a408688, 0x9646085e, 0x1c2b2d22, 0xf978c768, 0xde5e9acf, 0xf3bb1843, 0x7e58c40c,
+    0x3035c396, 0x93cc35fc, 0xa8329380, 0x6d932987, 0x16b50d61, 0xc9a513f5, 0x9541cad7, 0xf957bc16,
+    0xc8711bac, 0x1171791e, 0xd339dc9f, 0xa1894c5c, 0xecb284a3, 0x4491389e, 0xeae69024, 0x4bf019ef,
+    0xdca9833e, 0xd7de2a18, 0x06139639, 0xeff2a0ad, 0xaa88f674, 0xcaa9c1c8, 0x2be23884, 0xb1c911ed,
+    0x01521b52, 0x68e5122c, 0x8a3e03b4, 0x132e3941, 0xe4f84d5e, 0xcbf5ddd8, 0x00c17d23, 0x8148f6aa,
+    0x5ddbb317, 0xf385167e, 0x9d33e415, 0x2712da68, 0x8d799739, 0xb3d0e1e2, 0xda8c5786, 0x604b17ed,
+    0x6204bce8, 0x2af8edb8, 0x2cb02b1f, 0xbdb15a36, 0x819680b3, 0x7295794c, 0xc5b31d00, 0x484edecb,
+    0xbdcd222e, 0x79bcddf2, 0xc720230d, 0x1a1d4087, 0xbb41bd6a, 0x01561a90, 0x6e05f913, 0x130b8611,
+    0x5c303931, 0x0a2c17f5, 0xefe33e2b, 0xc68fcab6, 0x40ddf7e3, 0x0af25e48, 0xe459cbb1, 0x202cba32,
+    0xd0bd65e9, 0x27e9ec22, 0xec096837, 0x77f28c77, 0xba3e5c0a, 0x1055d321, 0x5c8667b2, 0xb227a904,
+    0x5930ab59, 0x0d11ecde, 0x18d7c66b, 0x71dee590, 0xc23962fd, 0xf4f627f7, 0xffe6f3bb, 0x39b576ef,
+    0xde04ee24, 0xba1af390, 0xed02fb71, 0x8b3d08eb, 0xe4be5201, 0xcafd991d, 0xc8b05444, 0xb4bc0e18,
+    0x2cd8b51e, 0x8cea445f, 0xd04edb09, 0x9c66c147, 0xd6298938, 0x887d1e34, 0xb4908650, 0x24eede13,
+    0x7fb3e294, 0xda6ed0cb, 0xc2d7b3bc, 0x9da7c013, 0x5c57d752, 0xdae3863b, 0xe9179e30, 0xa60318ef,
+    0xee99533f, 0xd8e83874, 0x8fb62876, 0x512bfce3, 0x07828e96, 0x6344816e, 0x8b23bf78, 0xf66e7c60,
+    0x97bae5ef, 0xde6a54ae, 0x1b3f6ab1, 0x311376a6, 0xe4269bab, 0x659d7182, 0x282c2c33, 0x5481c954,
+    0xc32b178d, 0x5723330d, 0x22acc004, 0x3c413c85, 0xd5e61797, 0x35225fa4, 0x9d5de80c, 0xacb6fc38,
+    0x2cbd67a8, 0xd0f4019e, 0xa38125f4, 0x6ee2d168, 0x5ad97630, 0x4652dc17, 0x58cbcfad, 0xe58fe7b7,
+    0x870bdc09, 0x443e32c1, 0x3c690105, 0xa9090816, 0xf85f916d, 0xf27b562b, 0xda1fbb4e, 0xfb1a2d33,
+    0xa1b014ea, 0xe00fe94a, 0xad2b4316, 0x487a9d51, 0x0695f019, 0x9f21f9ee, 0x967b7a35, 0xd5bbcdd0,
+    0x7c820d6a, 0x3b8e0e50, 0xe86fd42c, 0x37c55a19, 0x6da75a3f, 0x86480763, 0x5b212d2c, 0x5fb852c4,
+    0xaf9d6793, 0x48c0a2fd, 0x045f5964, 0xb3dd76ea, 0x83378213, 0x9154fda4, 0x4ee58a02, 0x445e607f,
+    0xdade55c0, 0xff29e3c9, 0x66783ca8, 0xda56590d, 0x4295a52a, 0x8b0cf9fe, 0xe77751ab, 0xf9426fa8,
+    0xa3066dd1, 0x42657ae6, 0x58823598, 0x2656e0be, 0x3a2e991a, 0x33c3ea20, 0x8416c238, 0x469fca1d,
+    0x35e634ed, 0xeff1cc2c, 0x742bc4ca, 0x065cd000, 0xcf41a13d, 0xd93c7c69, 0xcb366280, 0xfce9b8f7,
+    0x964b0ae7, 0x41f8afa2, 0xbbec5b60, 0x903f3f3e, 0xbf60f682, 0x0981e0c8, 0xdf22bd20, 0x18f45e1e,
+    0x414b8df3, 0x3313925d, 0xb1eeebfe, 0x6e5b2558, 0x26afcec1, 0x1bd63c6d, 0x2013e09b, 0x16986f70,
+    0x19262850, 0x007bd7be, 0x29349c39, 0x5af251cc, 0xe0e022a6, 0x280bb23a, 0x914e6b67, 0x98c86268,
+    0x4baf6324, 0x1c0aa033, 0xa7885722, 0x4133603f, 0xd8205ece, 0x8c29b426, 0xc2b8a3be, 0x6a481db5,
+    0x7a45c90e, 0xf2bce0c6, 0x75631bf9, 0x4efab7f6, 0x24542dc9, 0x65ea5536, 0x35caf91f, 0x9c2cec69,
+    0x5398a05f, 0xa5e33108, 0xdea6a774, 0xebb88255, 0x295e62b0, 0x313b2632, 0x43a9aebd, 0x460f2d7d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000159143435651\
+                          13172548972231940698266883214596825515126958094847260581103904401068017057792 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c,
+    0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfdf, 0x461e98be, 0x66bc0857,
+    0x00000000,
+    0xba59aaff, 0x4b66d21d, 0x04137670, 0x776c05bb, 0xdf08a163, 0x85ccfc41, 0x7298f1bc, 0xb8a7124f,
+    0xa86e45b6, 0xc9508487, 0x8a923c86, 0xdd100393, 0x15ce150e, 0xe939e2cc, 0x9c11de7d, 0xf3fd0f0f,
+    0xec61356e, 0x2cbefae2, 0x4a632a42, 0xef4ffb9e, 0xf5e12896, 0x5869d21c, 0x161e53d4, 0xc12afa57,
+    0xe9418514, 0x88ce7924, 0x0d4587cc, 0x8cf34645, 0xe2d6a826, 0xc4733285, 0x60dcd0f6, 0xda932ca0,
+    0x0c769bd9, 0x70cf8455, 0xf08dae60, 0x1dca628e, 0xe6d02793, 0x27c91d78, 0x2eccb7df, 0x846f6381,
+    0x11826521, 0xe47ba5b6, 0xf8d169ec, 0xcfbf826c, 0xc651e84f, 0xd169ae41, 0x9caf9878, 0x40229dc4,
+    0x6cb65069, 0x95765f8d, 0x2a53329f, 0xce82261b, 0x4b4c70c3, 0x770cbf43, 0xbc51f9e3, 0x79aed192,
+    0x49673057, 0x957ac2c6, 0xad5db8e4, 0xd1b36a9a, 0xffd1363e, 0x68bcd5cd, 0x49647c21, 0x92351efa,
+    0x1eaab1e1, 0x5e3b5c36, 0xacb1100f, 0x9ba29232, 0x0b04ce50, 0x6d2aeb27, 0xa40325e4, 0xff20c40d,
+    0x2b314856, 0x6c007fe9, 0xe141d135, 0x7da0b8ff, 0xc11db86f, 0x9ff8d0c4, 0x45a3390e, 0x393a9cb4,
+    0x594fa54d, 0xc57b3955, 0x3c8b633e, 0xd0755d4e, 0xf17b5e5a, 0x2c6b6197, 0x268002b7, 0x375817c8,
+    0xa5e50a74, 0x8328ae67, 0x9f9109c3, 0xd77c76b7, 0xb5056b83, 0x069bd145, 0xde3a5a62, 0x12e0bd21,
+    0xd370b3ab, 0xa2d0241a, 0xde4a1d1c, 0xaa010fe4, 0xa65e63e7, 0x27acaff5, 0x424bda33, 0x830c9c3d,
+    0x32fcfaee, 0x194e35d6, 0x7b7ea7cc, 0xb563b893, 0xdf54df98, 0x4bd3b9f3, 0x50b9fdbe, 0x394b61f3,
+    0x176238d8, 0xad0d663e, 0xbcbc9da9, 0xb3e4e7da, 0x3825eee5, 0x047b2c47, 0x5d6ce064, 0x723c942f,
+    0xe6555265, 0xa2241895, 0x27fd49a1, 0xd3eebf9d, 0x2499a497, 0xd530707e, 0xd6fedee4, 0xa383be7f,
+    0xdd9f6169, 0x7ae24806, 0x4e781b03, 0xbb635341, 0x096f887e, 0x658d915c, 0xa5054eb9, 0xf99523ac,
+    0x7ec773b9, 0xc5f894de, 0x8eb721b7, 0x0b240c6c, 0xba0e6dca, 0xf65a6aa6, 0x4f633039, 0xf773fecc,
+    0xacf4dd76, 0x4ed53abd, 0x037f45ed, 0xa0b09357, 0x734d81bf, 0xac2d6286, 0x13a09ebb, 0x30193b9a,
+    0x31eaed7f, 0x171d970f, 0x66eb13d0, 0x5163d61d, 0x3861d151, 0xbe79a803, 0xaa7eaef0, 0xd1bbf3a5,
+    0x813854ad, 0x547eb4f0, 0x3ddf5d69, 0xc2081276, 0x245a9224, 0x4dc097e3, 0xe97559d1, 0x48eaeec3,
+    0x7f9b3e93, 0x38ac11d2, 0x93cda674, 0x7ecc9fae, 0x512a1b3b, 0xe7361b5a, 0xe21a1ef9, 0x9c318eff,
+    0xf96b334a, 0x904e9086, 0xdd3c4db5, 0xa1f90cf0, 0x5d599caf, 0x7ab93718, 0xf087fd2b, 0xa573fe5f,
+    0xc6cb11c5, 0x3b6e63c7, 0x29858e27, 0x78464f43, 0x4b0d79b4, 0x87db475a, 0x05293945, 0xbfd476df,
+    0xc4b5fdad, 0x7298c328, 0xaf561eca, 0xebecd1f1, 0x699a7299, 0xd0c59598, 0x15495d6d, 0xfbd83c09,
+    0xda4da18c, 0x16f112fe, 0xf11d2680, 0xeab85b08, 0x542a3299, 0x62840810, 0x7eec48ee, 0x6254e981,
+    0x930fae56, 0x5e8f7426, 0x3155d8d9, 0x2a91ae7d, 0xd88fe092, 0xaf1900be, 0xbf4cca21, 0x940284e9,
+    0x29b37286, 0x91fa37a2, 0x61f003b4, 0xeb320cdc, 0xcf04f7b5, 0xf17c6c2b, 0x33f6f805, 0x00c26ffd,
+    0xc5a71f97, 0xc4e88799, 0x5f1cf2e3, 0xd01c1628, 0xcbf689ab, 0x33e20f79, 0x286abe66, 0xb0bd4a5a,
+    0x197cf058, 0x64466a19, 0xd4a3fb1a, 0x6c285df0, 0xb267d82c, 0x206e2252, 0xe5d4f4c5, 0x4c135550,
+    0xdffa1bd3, 0xeb0eb0ac, 0x4003b79a, 0x77703722, 0x3bae3f9b, 0x3d282d3d, 0x26323bf3, 0x05e0e9df,
+    0x10ea3622, 0x874af406, 0x19efa619, 0xf182ec84, 0xba373555, 0x7e353a9f, 0x1336c86f, 0x7fcaf91b,
+    0x036c1b55, 0x4fcd6fb4, 0x2011fce0, 0x7652390d, 0x1412f084, 0x2c7a2455, 0x1647460e, 0x85b826dc,
+    0x09c617c5, 0x8cf1d9f6, 0x13e14e76, 0x18bf1866, 0xb0bdb397, 0x3e300773, 0x455ec0c5, 0x8103e8b5,
+    0xe3ec4418, 0x8f68f035, 0xe50b9725, 0xc85a5739, 0x8fdd8c03, 0x2ee225fb, 0x91ee593b, 0x2aea1179,
+    0x56026fc8, 0xaa7bf600, 0x3ba78e6a, 0xe38a4744, 0x28c9f143, 0x7019e311, 0x25b06880, 0x7212f354,
+    0xbf24375f, 0x3c5325a8, 0xf33799c4, 0xb151ad92, 0xd9f968fd, 0xe9b314ff, 0x9124910f, 0xe89a0542,
+    0x53ec5b4e, 0xb595b385, 0x1c085e06, 0x6360e3ba, 0x8a7bf3d9, 0xdbd66a11, 0xadde316a, 0x17f1c7fb,
+    0x4dbe3131, 0xcc4b2772, 0xf34e4d6c, 0xecce8f3e, 0xce1540f8, 0x9fd3d7a2, 0x256a5b9a, 0xceeacb82,
+    0x131419a3, 0x3887818a, 0x27c378c5, 0x0b788784, 0xd5d2f8f1, 0x1887cf01, 0xf14150a9, 0x0c693b6d,
+    0x56f68f95, 0x6fd8d3c5, 0xbaa535da, 0x61301ca4, 0xc677afd1, 0xdc739679, 0x7faaf901, 0x30eb456d,
+    0x6cabad91, 0x9a340f91, 0x0b6ab502, 0xacc16d58, 0xf577e3ee, 0x4548c11b, 0x59e6944f, 0x6fdceaf6,
+    0x445fa3d3, 0xb9080c1e, 0xc41b4284, 0xa0360572, 0xc8198662, 0x9cfee562, 0x9f499b8b, 0xf77f36e4,
+    0xd1ce3f0b, 0xb4024dcd, 0xfe7556e0, 0xc1410041, 0xc488ea27, 0xe3e5e2ae, 0x253bb2c3, 0x02830b8b,
+    0x717ffbaf, 0x3343a7ba, 0xc764db68, 0xb78de9f9, 0xc04c62b0, 0x6f32b74b, 0x69c3b6f1, 0x933bd430,
+    0x3cf61d92, 0x4134d94d, 0xbd291bd1, 0x6bae9e75, 0x19620c34, 0x27f74970, 0xcc2598df, 0xdf70029d,
+    0x6634588d, 0xa1910e69, 0xa6923c5c, 0xc07dd17a, 0x3fed5c37, 0x6be61280, 0x309db70f, 0xae768532,
+    0xeb4c4263, 0x1a82646b, 0x1ac4aa94, 0xd51d617f, 0xf1720e00, 0xbf7a0b99, 0xc17d6fa6, 0x6c80920c,
+    0x4ef23b9e, 0xd9f745ee, 0x81000aee, 0x10582605, 0x30c8c210, 0x0576f6fd, 0x3b47ba98, 0x5274b9b0,
+    0xaa114d06, 0x9ca4d8ce, 0x80b2f363, 0x96d70836, 0x5a41efed, 0xbc045934, 0x716edd13, 0xbe156e45,
+    0xfbc5d565, 0x14aa7c13, 0x564a4a8a, 0xfe8fbc14, 0x27455c8d, 0x4bf77b31, 0xaab3db11, 0xb94dd37f,
+    0x373cee93, 0xe8124542, 0x39e36c56, 0xd4aba96c, 0x13e744d2, 0xe764c536, 0x6b00f2d6, 0x2a536636,
+    0x5aa6e03b, 0x86cb24a0, 0x303a014c, 0x1577b977, 0xb4c9b1fa, 0x57eab3eb, 0x885db600, 0x7a13459e,
+    0x3314c255, 0x3d5cd0be, 0xeca0a2da, 0x7a6539cb, 0x4b984243, 0xdb23ebb2, 0x9155c400, 0x791e335b,
+    0x38a8281f, 0x54dc709b, 0xfe039641, 0x2b9fe4c5, 0x3bd0761c, 0xf00c1e8c, 0x22e553e2, 0x5da6baf8,
+    0xe916b261, 0x00c74cd4, 0xa3f9f983, 0x8aff0969, 0x1404739c, 0x7b145bbf, 0xc96ce81b, 0xc56a0329,
+    0xd12800d0, 0x9f581f4e, 0xc3d9c1a1, 0xfe5248f4, 0xc1d2ea3e, 0xd00ee82d, 0x0605da61, 0x1e56b7fc,
+    0x96a64a2e, 0xf6564967, 0x990c3d61, 0x44428acc, 0x2bbceeb0, 0xa1fa2a7b, 0x7352d044, 0x54f4f473,
+    0x43ffca74, 0x625a2acc, 0x4bf7115b, 0x93497187, 0x2e119ac0, 0x1bd02d9c, 0xb77d2af9, 0x3ecc4fe7,
+    0xb590a3e3, 0x95d8c0c8, 0xe6d33e01, 0xeb9ff594, 0x95608119, 0x43eacc90, 0x83fe58af, 0x1795d5d0,
+    0xf0b24284, 0xa208b1ce, 0x4e5bfdca, 0xf1b8b568, 0x7ec959e6, 0x8bde6667, 0x144106a5, 0x9c44e1eb,
+    0x8058050e, 0x080e912a, 0x139edd17, 0x2e114b8e, 0x6bbf5cf6, 0xd40901c4, 0x78c788b9, 0x9185ba73,
+    0x404cbbf8, 0x58f53e98, 0xd069b5af, 0xf1ed7368, 0x338c7bd9, 0x8c7232b4, 0x576b38fd, 0x724580af,
+    0xf33f7be5, 0x70854d3f, 0x3a9f189e, 0x3dc46470, 0x85d536f0, 0xdef5e525, 0x173193c9, 0xb8816d8b,
+    0x1dbb19a0, 0x6b6c1f60, 0xe0929ee1, 0xa50b9116, 0x0ae75315, 0xa58c086c, 0xf0b2c85b, 0x2fefebb8,
+    0xa5bcdb29, 0xc6aa2f8f, 0xbd834373, 0x1e162558, 0xe263b9f8, 0xad255382, 0x3a38325b, 0x960d80ea,
+    0x9220677f, 0xb3622436, 0xd9a3bd09, 0xfd304c60, 0xd85d5b57, 0xbe75b3c1, 0xcb468192, 0x0f436e8e,
+    0x1ceaa028, 0x53520ad8, 0x9cb43d3f, 0xc37c73e0, 0x7b0c3aa1, 0xd175f280, 0xf0349c25, 0xd387adc6,
+    0x18a4d534, 0xce16664a, 0x9bce4041, 0x4fdec732, 0x66fe3ba7, 0xeab97528, 0x05d257a0, 0x6b8b3862,
+    0x579c73bd, 0x0415680a, 0x2d61705a, 0x20f401b5, 0x35b49bf9, 0xca82dd2c, 0x445d2a12, 0x05ad9a50,
+    0xad082468, 0xe3d21c03, 0x2a2698ea, 0x54a6b251, 0x02687102, 0x9020a472, 0xeab02421, 0xc2365282,
+    0x6d3cf55e, 0x9c01382c, 0x2683067d, 0xc3ea31ee, 0x08e63514, 0xb9074c83, 0xefb68e05, 0x14700f11,
+    0x7e6868d8, 0x1cc5913f, 0xdec9f327, 0xc1df8919, 0xc0420511, 0x8547bfa4, 0xd971bdc8, 0x1f95e7cf,
+    0x8faba89f, 0x8dbe318e, 0xcea030e2, 0xb1eef437, 0x4a7102f5, 0xa073ef94, 0x2860d642, 0xd4afc62c,
+    0x25114753, 0xfde9d92e, 0xb3da4bdc, 0x50e725ca, 0xd62caf64, 0x54eb67d3, 0xd0d51ea4, 0x63514f91,
+    0x552a6f02, 0x6101d296, 0xa0f0658e, 0x328bbdb4, 0xeee61224, 0xe7049cfa, 0x7e63f9d9, 0xea0e3fea,
+    0xdcddedf7, 0x8a1e1372, 0xd6853265, 0x4449bac0, 0x3e6fff90, 0xb00ecbba, 0xb7fd2d1e, 0x887594d8,
+    0x2f004edb, 0x220788ef, 0xb766a1ba, 0x3dacc95e, 0x09c9af88, 0x8d6e53d0, 0x00bbd1fd, 0x86e8e3f0,
+    0x22797898, 0x01520abf, 0x368f1b94, 0xa8849dd2, 0x9f2fae59, 0xb8008a0d, 0xf1bc1e97, 0x9a8d4c57,
+    0x15a05a07, 0x9102ca22, 0x7b54efda, 0x1c85506e, 0x96ebd0e5, 0x9a09390d, 0x3c63e69c, 0x1603db3b,
+    0x735feb10, 0x46a35e19, 0x5b620738, 0x653dc872, 0x9ea0a41f, 0x04ac4285, 0xd0707117, 0x20f5ee29,
+    0x27210023, 0x81641766, 0xd0d03476, 0xc2d35b55, 0xbbf0b3ba, 0xa6a6c68f, 0xc1f72c11, 0xc6e63d07,
+    0x557c42c5, 0x0363a5d8, 0xfcb53fab, 0x778a620a, 0xb8a9ecc3, 0x8da4badc, 0x7bfd13fa, 0x21fde3d3,
+    0x5455fafc, 0xa336c080, 0xd4c5e7f9, 0x2aa29e18, 0x9b12126b, 0x4c54cbfc, 0x3a8dc66b, 0x6b8517c4,
+    0x0c35821e, 0x3fa71579, 0x2df831c6, 0x09a77cfe, 0x739416a0, 0x8c818058, 0x1358ef6e, 0xa3bfc30e,
+    0xbdcc61bb, 0x90ce26dd, 0x6dd0e22c, 0x5bca9c1e, 0xa67d709a, 0xdfd89eb7, 0x868debd2, 0x290e7a75,
+    0xc4349f8e, 0x63652253, 0x2f1e4bb9, 0x10140cba, 0xcb279c98, 0xac768c40, 0x887a566e, 0x8fbe7192,
+    0x4a7a8028, 0xccf16d1a, 0x41a3d5a5, 0x8470a3da, 0x76a01c0c, 0x4dad12a3, 0x62efd96f, 0x9af73d14,
+    0x558064c9, 0x09dbd54b, 0xe23468fe, 0xbd2b34a1, 0xfa1094ae, 0x20407b7b, 0x8c6f0707, 0xd3baaadf,
+    0x9b1b9f49, 0xb7da118a, 0xd60cd137, 0x8fa3aa94, 0xf9e250e4, 0xe4018f2b, 0x51dda4f2, 0x1a7afcdc,
+    0xd9ac959e, 0x0f40f184, 0xdc6164bc, 0xc677e446, 0x0241479a, 0x3529e3f2, 0xccef3d3a, 0x6a3c2807,
+    0x9cd60f8f, 0x306dfce9, 0x9998431b, 0x6cf2dc81, 0x10bb75b7, 0x4589de23, 0x9936af4c, 0xcda044b3,
+    0x9002ad29, 0x984ab5e7, 0xb5ce92d4, 0x8cfd5c28, 0x18083b2f, 0x894ba6c0, 0x5336d649, 0xf3fc96d9,
+    0x2bb258c9, 0x037338f8, 0xc72e2f8c, 0xc20bfc25, 0xa3dff13f, 0x89c9a268, 0x01ac6c47, 0xf0cca8e0,
+    0x215576bc, 0x7ccf7811, 0x069daca3, 0x2f6931e5, 0x409c2f7a, 0x345b717c, 0x0776e249, 0xc5b6ee9a,
+    0x752a44bc, 0xf8cf295d, 0x5f7f47f2, 0xd594867f, 0x84ea8a14, 0x353d0553, 0x98831034, 0x5a6ca54f,
+    0x3b8e2d7e, 0x181ff4b9, 0x827d2aa0, 0x8703c8fa, 0x76d012f4, 0xe1c0c262, 0x201c9472, 0xa715882c,
+    0x70b65bb3, 0x987a334e, 0xd2e86b66, 0x4403703f, 0x842e117b, 0xea822edb, 0x71f47dc4, 0x128abb63,
+    0x7c4b3a15, 0xbf6c0d5a, 0xb0fcebb2, 0x938bd846, 0xb01add0b, 0x2d450172, 0x2a3341e6, 0xdc585fc0,
+    0x0579db2f, 0xcbc6b36d, 0x1a15f58d, 0xf6643e31, 0x32e695e2, 0x6aef217c, 0xf33216ba, 0x294ed573,
+    0xebb2ed8f, 0xcc0584ad, 0x6827131d, 0x014016e4, 0x898e954a, 0xdcdcf7c5, 0xa0eac93c, 0xe981577a,
+    0xafb5fbdd, 0xe4e3eae0, 0x62b990ca, 0xabbca247, 0x5b0bb171, 0x7471b27b, 0xc9466bbd, 0xe8af2f72,
+    0x32339c14, 0x71652519, 0xc3d45dad, 0x068b4580, 0x5d0fb4dc, 0x1ed97bbe, 0x5eb5b7b5, 0xa4fd07fb,
+    0x366c8b6e, 0x53f5ccaf, 0x70578e0f, 0x0c246b5b, 0xa79b2d0b, 0x40b4643f, 0x9ed08b96, 0xb5b07ca9,
+    0xb684ff41, 0xe3a64e88, 0x439efa6d, 0x04ca79fd, 0xb7ed8c95, 0xee2ac215, 0x59f3ca9e, 0xc0437bf1,
+    0x588f3a0a, 0xdb46d891, 0x2d939f97, 0x4ed6aa77, 0x821db8e4, 0xa3100efe, 0x4e513a89, 0x4e89b7d7,
+    0x5d501bf3, 0xdd67138c, 0x1311eb86, 0x029a8db7, 0xf9978d67, 0x43421716, 0x72554c78, 0xee95579b,
+    0xd229ef63, 0xfd39bdab, 0x03294a9a, 0x5e0e4602, 0x4e9b7c07, 0xf049c74d, 0xc4bb7e3c, 0x2ff3480c,
+    0xbf8b00d9, 0x53c35540, 0xdce69a18, 0xa43acd59, 0xf2dd6a71, 0x1dc07974, 0xcc1b6bf5, 0x002125e2,
+    0x6450b7dc, 0x5081ba49, 0x9a6ceced, 0xd9b1f92d, 0x4d52fd12, 0xb033c55d, 0xc6c5b1a7, 0xe80c6b2d,
+    0x88cd82a6, 0x33c5f6ce, 0xea6ce385, 0x98b8261e, 0x7345dde8, 0xca2b64cf, 0xcc932909, 0x189ecebb,
+    0xfe0fc7fe, 0x982024f7, 0x124481af, 0x88ca1b52, 0xf03a749d, 0xbdfb8cd9, 0x34f7e866, 0x594f40cb,
+    0x1fbe97ae, 0x0bb27876, 0xaf4bb18b, 0xb863b653, 0xd378ee39, 0xb1b99185, 0x9a58d9dd, 0x0aa6b647,
+    0x0b7df6d4, 0x96b240a0, 0x9d8181f5, 0xe7b1234f, 0x4942cd69, 0x5326a950, 0xa1ad04e8, 0xad8684b4,
+    0xe8ee2631, 0xc7d9f96b, 0x34868b72, 0xf41ee130, 0x62952206, 0x18e17986, 0x8dd1b71e, 0x1e142a1b,
+    0xda1c3445, 0x7413ad7a, 0x0c420991, 0x31dabd00, 0xbed4cf8c, 0x3e4f182f, 0xdfb774aa, 0x63814527,
+    0x69aeaaba, 0x0fa4b7ba, 0x1dcb737d, 0x0769eb70, 0x3e016730, 0xe8872b0f, 0x2db45f57, 0x42dfd26e,
+    0x4eb7d4c6, 0xbdb48cb9, 0xeb482cca, 0x152f6c29, 0xf6f373fa, 0xdeac8362, 0x50f72eab, 0x04479f05,
+    0xb8652512, 0x4b3e62a7, 0x0b7f09d5, 0xbc48d078, 0x04229400, 0xba39a236, 0x33b0178c, 0x6e5bde41,
+    0xbe451ddb, 0x905dd77a, 0x0a5c2b54, 0x25b3754f, 0x5aa8ae73, 0x79b52640, 0xf48f700c, 0xdd1d1465,
+    0x8aead4fb, 0xd7b32dd6, 0xcf080509, 0xb4868e95, 0xf2f8c0fd, 0xec0e2e22, 0x4b4383c3, 0x5bf734c9,
+    0xbb0f4f00, 0xf660e196, 0x070a8aec, 0x33651399, 0x88a5fc3e, 0x0e4df5cd, 0x2e47ac98, 0xec1cc4a6,
+    0xbe70e7cf, 0xe7f9bb4d, 0x29695df8, 0x4e4b5e88, 0xad82a066, 0xa1d73a62, 0x98743c99, 0x077dfc33,
+    0x294997a1, 0x6a5abeb7, 0x74b91d80, 0xd427940b, 0x082714b0, 0xf5d183e7, 0x427718d8, 0x73b6b8a7,
+    0x557ed667, 0x1bf45a21, 0x5b1f619c, 0x4d2cc5ae, 0x444796e7, 0x31497d21, 0xfe725065, 0xae8a4584,
+    0xcf897b5a, 0x5ad8eea4, 0x14d965e3, 0xe51a1934, 0x8859f6dd, 0x66b9be09, 0x801e8e42, 0x97f2e5ad,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000079571717825\
+                          56586274486115970349133441607298412757563479047423630290551952200534008528896 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686,
+    0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fef, 0xa30f4c5f, 0x335e042b,
+    0x00000000,
+    0x9a71918d, 0x282bd5a0, 0x66ef763d, 0x2e42681c, 0x0104802c, 0x8b69ff39, 0x5d4b7f08, 0x81fe4b62,
+    0x1bc10ac8, 0xbc7994d8, 0x80eb6ba3, 0x41a83419, 0xc3fefd6f, 0x779bb365, 0x75c1f40a, 0x19a8a330,
+    0xd7b1d25a, 0xa5732992, 0x4d03b86c, 0xddbf68fa, 0xb79d209e, 0x9d170b11, 0x767b3a1d, 0x19e1ec57,
+    0x6b830e98, 0x05e2f851, 0x08f560ad, 0x7d08b41d, 0x09f57438, 0x00b1748e, 0xf8a9da9b, 0xa4718091,
+    0xed43c19d, 0x0d83ba00, 0xdfa6812f, 0xd737accb, 0x0eaa73b3, 0x7ebca4c3, 0x23ac328c, 0x96b6f028,
+    0x2fd7df1f, 0xb6294d65, 0x2e033be0, 0x55f4a66e, 0x6cc8c096, 0x30d69b50, 0xc814818e, 0x20e73342,
+    0xafcf9977, 0x4e8286d2, 0xe399d9b8, 0x2cebfc89, 0xf88d97fe, 0xc88698f2, 0x66357712, 0xa78877a0,
+    0xeebc61dd, 0x02bab5a9, 0x2fb7bbf4, 0x204e1ac6, 0x60fd31eb, 0xa919fbb1, 0x12a645e6, 0x405e01de,
+    0xd1425819, 0xe93f0bfd, 0x0f4eb5e4, 0x2d70518f, 0x30371031, 0x85d65183, 0xca694c2d, 0x29a7b673,
+    0x83efd594, 0x9276917e, 0x9e5a0b83, 0x09b7ab26, 0xd815d72c, 0x7e155144, 0x08b60087, 0xeb320cb9,
+    0x69dc3688, 0xc25c894e, 0x57391bb4, 0xda6b3147, 0x98342e71, 0x2b6d4e94, 0x022f75bc, 0x87c7548e,
+    0x96485c5c, 0x276b0e57, 0x552f9db6, 0x7836056b, 0x6542b8ce, 0x54c7f2ee, 0xf1ab84df, 0xf301a5b7,
+    0x9a612166, 0xd9fd497c, 0xca87eeda, 0xf3f55ec6, 0x0ee78d0e, 0x320506bd, 0x6c5ffa56, 0x5c4bf8d1,
+    0x44b63ff3, 0x5d3c01c6, 0x3de1037e, 0x2f4dbc4a, 0xba804750, 0x84c66adc, 0x2ab6d860, 0xd74b3f6b,
+    0x315bf326, 0x569259ba, 0x44d9ee74, 0xa10b7e87, 0x24504d76, 0x65823103, 0x0e78a7b5, 0x07a159d5,
+    0x2fb1daf6, 0xd6f2159e, 0xcbc85f3f, 0x16dcd0ee, 0xe2a92e9f, 0xa0e49aa3, 0xcb02ce90, 0x55b05968,
+    0x065c3383, 0x544f5cba, 0x0cebaa9f, 0xa98d59a9, 0x0b98aa61, 0xfa786a9c, 0xfd3a2702, 0x68aa315b,
+    0x86b5da6b, 0x92d3909b, 0x60783d42, 0xacef65b8, 0x2805a7d2, 0x6eaae198, 0xe24c38c1, 0xa9dd5523,
+    0xfbe74927, 0x22afd945, 0xf940ea28, 0xa7f52780, 0x7c3d337f, 0x8fe063b5, 0xfd11bfd5, 0xbdc1152c,
+    0x4a01c0fd, 0x71326fe0, 0x50b7048f, 0x79da90d4, 0x046d2e48, 0xcf717635, 0x0e7edf17, 0xefc094f4,
+    0xf47e9031, 0x997152ed, 0x5da730d8, 0xce4b93d8, 0x1dfb5d94, 0x8fe4fa2f, 0x8d29983e, 0xb37c8ced,
+    0x9e9c8ee3, 0x4f419502, 0x0898f5b0, 0x53c12dda, 0x0bb63cee, 0xefc33106, 0x32c7f73d, 0x27f2b5bf,
+    0xe3405d68, 0x633856ee, 0x2f25fe3e, 0x6cb8948a, 0x744e82fa, 0x91ea5bef, 0xd9e3ac60, 0x1413740c,
+    0x6b00e05d, 0x453a2b39, 0x087b7ebf, 0xb4f1e748, 0xdb04f67c, 0xbd94815b, 0xb07467cb, 0x348e441e,
+    0xa350941c, 0xf3c561aa, 0x030bb052, 0x56e19f4e, 0x6c5f5834, 0x48bab8a1, 0x96244196, 0xc9f0d904,
+    0x92fea75d, 0x83e223be, 0xd1583da5, 0x79f95afe, 0x300d0659, 0xd75909ae, 0xa5e98581, 0xeedd50ba,
+    0xa8a730f6, 0x70a6fece, 0xce77edaf, 0x8a7be32c, 0x32611dd9, 0xce3b5e89, 0xeeb14a9f, 0x5a2810cf,
+    0xab0b0c55, 0x48be1c4a, 0xa434e1b1, 0x5d5cc454, 0xcaf37389, 0xc1705429, 0xa2fad68b, 0xcb438d8f,
+    0x8d433509, 0x5e98a09b, 0x8c66025d, 0x8b711ab4, 0x3f5b6be6, 0xa375ab48, 0x474a18c4, 0x2ed9a64f,
+    0xf8970d62, 0x9ad6381e, 0x98c422fd, 0x2402db10, 0x765d277e, 0x319cad09, 0x41f5e318, 0x75659e9f,
+    0xe6b05671, 0x057f44f2, 0xe26b66bf, 0x745c0348, 0x3e0ed7b4, 0x428b1f00, 0x45a0291e, 0x90b1d86b,
+    0x76cee915, 0xfff3f444, 0xf948aeec, 0x51b94a1e, 0xaf949150, 0x3e04bea3, 0xb6683ab7, 0xbd7cd04e,
+    0x3c1b6ade, 0xaedffe23, 0x69223de5, 0x456074e4, 0x299a82ea, 0x37025977, 0x5fbd0d5a, 0x250a71f5,
+    0x73fb73f3, 0xc2457334, 0x732c0649, 0x3be5bfc8, 0x4862d6c1, 0xe7d8c0c1, 0x8fcc43ef, 0x88b2891d,
+    0xf89b3f3b, 0x9d8e5c8e, 0x4721a08f, 0x04a004a2, 0xb22588f8, 0x14cbe7b1, 0xc631ebbe, 0x73a367c6,
+    0xf1155b00, 0x70b22282, 0xcf681310, 0xa6be19c9, 0x90d7fe8c, 0x62bfad89, 0x0afabd8c, 0x269d9a30,
+    0xf495c722, 0x81b1b7ac, 0xf9a75e50, 0x493f0f8d, 0xf107d55c, 0xa9f19e2f, 0x898a55d3, 0x739ad8c5,
+    0xdd8bff32, 0x8b4693fe, 0xce19cfce, 0xe881965e, 0xc68dac25, 0x260f4bab, 0x23a77183, 0x3658114e,
+    0x5ff5e2d3, 0x2103e44f, 0x5cf9bde5, 0xbcc0bf77, 0x0af68235, 0x0b56b93e, 0x5e8e5a2f, 0x160360d6,
+    0xa6429f55, 0x0d280ef2, 0xde2872e6, 0x36d80c34, 0xa4112d33, 0xb60124d2, 0x81e55e9a, 0x885b1133,
+    0xea2580bf, 0x6a09392a, 0xf973a7e2, 0xb7b2658a, 0xf7ff6338, 0xcbbafcd3, 0x19448042, 0xa2994f48,
+    0x5243f052, 0xd943e3c8, 0x8f3ecdf2, 0x47bd6f3f, 0xd77c78c3, 0xf70f8b31, 0x7346d116, 0x4077b4f9,
+    0xec396a4c, 0x5b6e1eaa, 0x1db922ab, 0x31efc472, 0x81e37b44, 0x4415c4ad, 0x7d781332, 0x8378a122,
+    0x19ef1f34, 0xfb0102c5, 0xea2e0d6d, 0xb73adb66, 0xd73b325b, 0x9ccba721, 0xfcb204a7, 0x164d5ac6,
+    0x27d98e81, 0x2961b348, 0x116d68d0, 0x8609881d, 0x3bc8b6b8, 0xc462383f, 0x8281b6c9, 0x4348212d,
+    0x88bfe477, 0x86772f8d, 0x5b0204ad, 0xaefa9daa, 0x42eccf79, 0x534f452a, 0x803ce050, 0x643dc3f0,
+    0x9200430d, 0xe5619117, 0xfee3e9a8, 0x266ef368, 0x68616946, 0x8f8fd733, 0x20374bfe, 0xcd0a5ec7,
+    0x55efb337, 0x4acb7508, 0xac58cbf5, 0x6a56fb21, 0x169e1e1e, 0x5ca5c655, 0x5d9c7ff6, 0xc76e3134,
+    0xfd8a301b, 0xcf1dd7d3, 0xb640eca9, 0x8471e067, 0x077c380a, 0xcb7873be, 0xa43f80d3, 0xc604ecbc,
+    0x3a6acf49, 0x6509081b, 0x72abf320, 0xd8254bed, 0x99443f4f, 0x9671594e, 0x6711587d, 0x9dd4d153,
+    0xa717ad74, 0x4df5e342, 0x2a567ed0, 0x40006ba0, 0x8751dbba, 0x7a322fb7, 0xeab67aac, 0xdd0ab795,
+    0x49fc56ec, 0x2dea1510, 0x31d55f7b, 0x886d76f7, 0x3164b2f5, 0xb3c56309, 0x643f301b, 0x3f9da5b4,
+    0x30ef0195, 0x5d65696e, 0x5d3e95f1, 0xcad23aa8, 0xa2494dcc, 0x30d14ff7, 0x6cfeef54, 0x4ba653e2,
+    0x12951432, 0x7e1db015, 0x45b24aef, 0xa49ced7e, 0xfd8203f4, 0x7368e9e4, 0xaef679cc, 0x6a7c7c26,
+    0x78801f87, 0xb2ff69a5, 0x45672bf4, 0xcc09f90a, 0x92f1fdac, 0xb231ae48, 0x17a91f78, 0xa7f3aada,
+    0xf0c93b4c, 0x82618b58, 0x9a825013, 0xd5cdeada, 0xb86c34d3, 0xe8052025, 0x19dbd12c, 0xf2f9f908,
+    0x5b101839, 0x79486b84, 0x9610097c, 0xdc5fdb5b, 0x614ecc5e, 0x1d40f51e, 0x56ac4c7b, 0x40b3ebac,
+    0xb71bd0fb, 0xc3601742, 0x740bee6e, 0xe52ae4f5, 0x144cd1b0, 0x3243c2a3, 0x703b9197, 0x0cdc06fc,
+    0xc6546b70, 0x7ee35e16, 0x3283cccd, 0xc56b76a7, 0x316f53e8, 0xa84568b0, 0x375ac810, 0x23910b46,
+    0xc43c1820, 0x890978b5, 0x31cef458, 0x912f73a2, 0x5b1a2379, 0x95c05e04, 0x3817a380, 0x81c99f76,
+    0xd2ef3453, 0xfb6b4952, 0x764f81cb, 0x8b444514, 0x14f8604a, 0x44556852, 0x92317121, 0xa69721d1,
+    0x3d2bc88b, 0xd0b241dc, 0x3a4509c4, 0x3b4f743b, 0x915aeb52, 0xdf1075f7, 0x609628ac, 0xd19b16ab,
+    0x5db7fc48, 0xcf83be8d, 0x461f0010, 0xad308f61, 0xd3699517, 0x99b946d2, 0xe9a60431, 0xa63cd0e5,
+    0x2726f155, 0xce144f29, 0x28ab108a, 0x72c38b57, 0x4c689e69, 0xfc0a605d, 0x24151f07, 0x7f7bcddc,
+    0xf62a9a7c, 0x43fd5a47, 0xabdb0b31, 0xcdfe305a, 0x8fb8480b, 0xf2440aab, 0x701fa598, 0x4d192d0a,
+    0x93f0c699, 0xddf067b5, 0xa2f05039, 0x8513cac7, 0xd3b37260, 0x852056cf, 0x7369517c, 0x47b238d9,
+    0x6e33ce53, 0x7d365156, 0xc4d2c162, 0xeebb8b5c, 0x6c36f7a9, 0x143a6f1d, 0xefe547fe, 0x514fb870,
+    0x039605b2, 0x107b0305, 0xf2e009c2, 0x6d9107d9, 0xcf30b229, 0x54811021, 0x2e2eaae4, 0x73a22d61,
+    0x8157075d, 0xe8d2b1f3, 0xa9f4f5cc, 0xf8c6e56c, 0x19fdda2c, 0x9b06448c, 0xd7687310, 0x01eac74f,
+    0xf847a77c, 0x105c877a, 0x8c48e362, 0x66ebce9b, 0x5a7f4433, 0x09e09ff6, 0x9e388dee, 0x1ac13c95,
+    0xf812a508, 0x1fde17e7, 0xe875ef43, 0xa0b551b5, 0xead992c5, 0xb6a8857f, 0x3b263f1f, 0xc3a143e5,
+    0xa5a7bade, 0x3e8a18b9, 0x5f3bdf75, 0xbb1e304c, 0x4dd79065, 0x088d9ae6, 0x0aa9c568, 0xf2ba58fd,
+    0x4bca039d, 0xe9303933, 0x4d588781, 0x18c97eef, 0x8c4c7421, 0x42f90936, 0x836c5e3f, 0x1b6666fa,
+    0xa7980e52, 0xcd1cd129, 0xadc6135e, 0xc0b1080e, 0x94d20eca, 0xa4629067, 0xcc9cb536, 0x41b20ca0,
+    0x41822f4a, 0xd6a27bf6, 0x4d9f2956, 0xbbcb00fb, 0xf1118a10, 0x70ea1e54, 0x01d4635a, 0x6474e9bd,
+    0xa086b6dc, 0xf8fab967, 0x158397c3, 0xbf29c399, 0x11194453, 0x93a841f3, 0x2471404c, 0x349a67f7,
+    0x4a2d25c2, 0xe9b92c67, 0xdd7fe53b, 0xec48f05f, 0x4aa4b191, 0x299d6cea, 0x3f4b7f89, 0xa1409d0e,
+    0xe51c0400, 0x9560ed61, 0xb3de480d, 0x3464d2b4, 0x5904309b, 0x272cb352, 0xa72506fc, 0xab01a5c5,
+    0x5c8a4b8a, 0xa9a18d44, 0x7c9dea9b, 0x5dbed7be, 0x02205f10, 0x4ef63016, 0x72a0f2b6, 0x28681d83,
+    0x06a59ac0, 0x095b3ec9, 0x3c73ac51, 0x8dd48ec3, 0xec0c6d72, 0xd90a07c2, 0x5ac1d0b2, 0x9c709d90,
+    0x5eb7ac51, 0xc7c69669, 0xf45c8547, 0xd62ac0ac, 0x4f683d7f, 0x1d990491, 0xde48ae44, 0xe81ad451,
+    0x5b9f02b8, 0xb1e02b95, 0x52046148, 0x6fc0c0a0, 0x1b2926cc, 0xc1e61a66, 0xf61d49e7, 0x6070b6d5,
+    0x78e6fc60, 0x332a171f, 0x8ac2addc, 0x1776d74e, 0xd4e63647, 0x74fc079b, 0x93124dad, 0x04c627ff,
+    0x5577cb8b, 0xf2fe11f0, 0xe7697d97, 0xd09d98a9, 0xd4443a04, 0xb94b6d05, 0x442d8ec0, 0x039f3f66,
+    0x994597d1, 0xe0ff2e05, 0x2f8fcc03, 0x74c102f0, 0x00398cee, 0x28a91c85, 0xb89aa36c, 0x91d9fa17,
+    0xfec1c82c, 0xaa690a3a, 0xc009a53a, 0x1663aeb7, 0x5c9bdbd3, 0x27c8ea78, 0x793f5dae, 0xb1e65394,
+    0x09af063d, 0xfc9a13d8, 0x8d666189, 0xfb371678, 0x859d6c90, 0x95b71051, 0x13199045, 0xf380494e,
+    0xb3f689a3, 0xc46d7a3b, 0x61c16c00, 0xc9636967, 0x730ed997, 0x955d4876, 0x73c0587e, 0x0bf9500d,
+    0xdb478212, 0xd43e09c6, 0x09927475, 0xb80bf9b7, 0xe6409dee, 0xf371b5b1, 0xda86eaa2, 0x2e090c0f,
+    0xd56b3849, 0x197f62dc, 0xd4d83f01, 0x97c4759e, 0x384d970a, 0x303c9702, 0x27627dcd, 0x6343c56c,
+    0x2de1a947, 0x85472959, 0x9b3e020a, 0xe857398d, 0x54192dfb, 0x2da4a8c2, 0x05247978, 0x9f8a3b19,
+    0x8e723e4c, 0x29e9b6d7, 0xb8da070c, 0xd6591c2e, 0xb2170ebc, 0x63419d7b, 0x5a0a2a43, 0xd8798877,
+    0xa47c1a70, 0x44b391db, 0x76e2361a, 0x6b825b26, 0xab135f38, 0xff298f74, 0xe163704f, 0xb39b95bb,
+    0x234d57e9, 0xe4fe64b8, 0x6e972e37, 0xf4cc3588, 0xf23f8c04, 0x4eea542f, 0xe3a29b32, 0xb8a4392a,
+    0x0c5578f8, 0x880df058, 0xe69b1bcd, 0x086dc8d8, 0x53a5db31, 0x05ef91ea, 0x951eb97f, 0xc17c57ae,
+    0x68bc02d0, 0xcaff4d67, 0x99f850c4, 0x40e03306, 0x102d2fe8, 0xf7afdbdd, 0x184290c8, 0x9ad7f907,
+    0xbdb8867a, 0xef284b8d, 0x8e97dab7, 0x6117d04f, 0x6c2e49ca, 0xc25f32fb, 0x93ffadf5, 0x843acefd,
+    0x171d89dd, 0x27b892fd, 0xe1d7678a, 0x19a5a23b, 0x3802b40c, 0x728624bf, 0xc7096583, 0x712d50cd,
+    0x71c4759f, 0xa6800759, 0x06ca27a4, 0xedc422f4, 0x43eb9dae, 0xdfda577a, 0xbfd0f4e7, 0x078f67ca,
+    0x6d56f5a5, 0x11324702, 0x13eb596b, 0x3930f044, 0x83737d52, 0x5675a5c8, 0x618938fb, 0x277ff1bd,
+    0xff393e09, 0xeb392e02, 0x606c4b0b, 0x81f0f750, 0xb056507d, 0xe43dad88, 0x70927f79, 0xcfd7a41d,
+    0xf1068e69, 0x4620ee83, 0xca118996, 0x6c75c48e, 0x58839db8, 0xa00c3de1, 0x1f42aa32, 0xbe4bd547,
+    0xea20cb57, 0xd75c14ec, 0x54541caf, 0x6c75e997, 0xce2c9b69, 0xb72f6add, 0xfa984132, 0x7baffcc3,
+    0x197d8d87, 0x16f28752, 0x7afb2630, 0xc06d7977, 0xeef1594d, 0x1d3717b2, 0xa359fa4b, 0x6326dc84,
+    0x178be1c6, 0x0de1288d, 0xb20fd2e5, 0xe910fe13, 0x9e7a1197, 0x0a45dba0, 0xbda3e5a9, 0x0114d9f1,
+    0x20c27b3e, 0xa38e2c5a, 0xa08c9479, 0x66ba3117, 0x69526177, 0xf0fd8b7e, 0xad489b7c, 0x2d340f55,
+    0x95af28ca, 0x2321ba4b, 0xf05713a7, 0xe4b353d1, 0xfa942794, 0x23f47d02, 0xb7bd247d, 0x1cc8ad6b,
+    0x7a1b21bb, 0x4e058668, 0xc624e693, 0x3235d357, 0xd5e37133, 0xdd818bba, 0xd9298eec, 0x40cd7989,
+    0xcebdbafc, 0xaed56ac5, 0x753444d0, 0xb9799ca4, 0xc914e199, 0xff50bf0e, 0x103c7c85, 0x7868f649,
+    0x16b27ee8, 0x21da7e15, 0x922b4594, 0x54555622, 0xcb39663b, 0x80150818, 0xc0f6cbda, 0xa6b93af0,
+    0x3da80eb7, 0x2f037f8d, 0x44cbeec4, 0x07628a76, 0x5b148e4b, 0x9c0a0d19, 0xca635ad1, 0xbdaf39c0,
+    0x4dce6968, 0xad05fb56, 0x1a74ff7c, 0x3cfb9b5d, 0x71b99c71, 0x008fbef8, 0xa3ed33f0, 0x04e260b7,
+    0xe973ea55, 0x79651341, 0x7bb31289, 0xeb848b64, 0x28c0d30a, 0x6f238532, 0x48097740, 0x5f752a75,
+    0x3d772331, 0xf09ef6f6, 0x8795d0b1, 0xda4748e8, 0xdb1fdd63, 0x09690b28, 0x20c6ce03, 0xdff702e3,
+    0x5dde2c45, 0x1ab6f336, 0x4507fcef, 0x33338021, 0x8c8cb09b, 0xdfdbbb35, 0x99524b7c, 0x2940ebfc,
+    0x459d0b7b, 0x51edd16c, 0x390f63f0, 0xb41bcaa7, 0xf8abe7c6, 0xfa721d31, 0x026c345c, 0x216c3d39,
+    0x1cd3a2b8, 0x27cd4fe1, 0x46915750, 0xac75694e, 0x802c2a47, 0x5eb02a47, 0x90708a6f, 0x24d01aa4,
+    0x8ceba8da, 0x109a995d, 0x4058bd42, 0xbfe19110, 0x78fe2ad8, 0x2ab34ecb, 0x4b9c1909, 0xcaa518f0,
+    0x05f688b9, 0x139527d5, 0x82c5faac, 0xecb26793, 0xb1c0791d, 0x15d29d14, 0x145fb825, 0x31097292,
+    0x84d4e39e, 0xba2fac7a, 0xc1650f4f, 0x91872e0a, 0x2be02e2d, 0x421c062b, 0xd89dc7bb, 0x61e9aef0,
+    0x215d58c8, 0x63ff7015, 0xe335bea0, 0x4ffff01a, 0x1b1d8d33, 0x16636c5a, 0xf458bf4a, 0xe2d44c0d,
+    0x44c6f39e, 0x5efb16db, 0x68ce722b, 0xa6e8a0af, 0x73e5f3a5, 0x9b3c0fe9, 0xcf45153b, 0xf3057203,
+    0x5dd38fb9, 0x19ece70c, 0x9802a3c9, 0x0303e3d1, 0x08b09da8, 0x088d7035, 0x214f9e8f, 0x597a3f01,
+    0xf826a338, 0x7c6fbcc1, 0xa260cb8c, 0xb319c50f, 0x9a8c0937, 0xf494e8cf, 0x45c263bf, 0x11abef4c,
+    0x3eab239c, 0x0a11c1ff, 0x8487a1b5, 0xe34f0a59, 0xa1356bdc, 0xe83d6403, 0x9a39dc3e, 0x9b94a1b5,
+    0xa3f7ad75, 0x9193a215, 0x1cf3c575, 0xd6378ef8, 0x37a02e33, 0x089fbf47, 0x4cba287c, 0x7455fb2c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000039785858912\
+                          78293137243057985174566720803649206378781739523711815145275976100267004264448 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43,
+    0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f7, 0xd187a62f, 0x99af0215,
+    0x00000000,
+    0x8c99fc7b, 0x41985629, 0x536cee38, 0x8159d4ba, 0x7dc0f6f7, 0x839ee5ab, 0x934ce066, 0x80109a5c,
+    0xe83e7118, 0xc4bab4ee, 0xf33a910e, 0xd17115e4, 0x3238e88c, 0x34f0d0eb, 0xd39afe65, 0x669bdb3e,
+    0xe79da32a, 0x07f01cc9, 0x53117097, 0x306638d9, 0xebd36d17, 0x89ee4621, 0x28517a12, 0x04255833,
+    0x1a579747, 0x44d1de30, 0x56bd2c58, 0xc8a56b9b, 0xb393478d, 0xc4002790, 0xd72eda12, 0x0638096a,
+    0x1e5e8b8e, 0x0cbfd39d, 0x4e19f5c3, 0x942ce83e, 0xeafc6d32, 0x06464716, 0xda276d35, 0x6c3848c2,
+    0x5b0217ab, 0x09ce18ac, 0xf09ea948, 0x3d927ea3, 0xe68784b6, 0xa8eef5c6, 0x545404e9, 0xbbdf2d7e,
+    0x898600a7, 0x373c5e81, 0x3e8198d4, 0xc6cd407b, 0x589b49df, 0xd6e7d754, 0x3ba5a73f, 0x09f6da20,
+    0xc605f58b, 0xb2ea10d2, 0xb4d26a44, 0xc1f72e5e, 0x151d6305, 0x1a1cdc6a, 0xbbcb74e5, 0x905dd476,
+    0x188b7abc, 0xa0461255, 0x6f090912, 0xbe6422e7, 0xe9dfe8db, 0x8da5a4d0, 0xc638aab1, 0xdc462715,
+    0xf51c2e57, 0x426bcd48, 0x6e350ae0, 0x2589e6f7, 0x67a253bb, 0x57850f52, 0xf639de56, 0x5280da64,
+    0x2b4379b6, 0x0292dbf7, 0x605e6133, 0x4b7dbb17, 0x9c22ea20, 0x03feef63, 0x46417222, 0x8c497c25,
+    0x13513aa0, 0x796bedfe, 0xa03ad698, 0xf365f9b4, 0x5723d9d1, 0x0d677174, 0x989860b8, 0xd1e2b833,
+    0x54b26ef2, 0x4a70e4ad, 0x5c7c6f1d, 0xed210827, 0x5174d44d, 0x2baa08b3, 0x0d1f95cd, 0xd3df6315,
+    0x3b68636c, 0xee629834, 0xd73009c6, 0x76131d6c, 0x27fe5a7c, 0x56a6dba5, 0x8b9a837b, 0xdd5d7066,
+    0x346ac6d4, 0xb9d05642, 0x4190781b, 0x8e91e147, 0x000b233b, 0xdf63cc2e, 0x28c54eea, 0xebd37c2c,
+    0x17ef719c, 0xe36092f0, 0x098ceecb, 0xcfa478ff, 0x34c643d3, 0xc4e9086a, 0x5a0be44a, 0x82646999,
+    0x8f9f581b, 0x578e660a, 0xdc1eed4e, 0x3f8061c7, 0x34f07e3c, 0x3d7349db, 0x6d284f80, 0x193d34d1,
+    0x6aa87d83, 0x0f539aa2, 0xafd05226, 0x468a7948, 0xd9e3af9f, 0xb8152c26, 0x86d2ac9a, 0x64da3f93,
+    0x1218fec0, 0x4e88702a, 0x13a22379, 0x030d0a96, 0x9c8faac5, 0x5ba307b3, 0x8cbf88f5, 0x2d2f03da,
+    0x01b4e6c6, 0x0133f8d0, 0xf3e02b22, 0xc7e0e011, 0xe0a32083, 0x01deafe0, 0xc006cd48, 0x24d144ee,
+    0xad97ff26, 0xf4d609a3, 0x6afb4b9f, 0xa7825e3e, 0x87c5f6be, 0x5b7d3a29, 0xb30db36e, 0xcd359c55,
+    0xee09c2cf, 0xd89fdb85, 0xe29d31ce, 0x407f087f, 0x71f8cca2, 0xa15b45d5, 0xba182b92, 0x587cdbc0,
+    0x2166f834, 0xa9539620, 0x4ec925e9, 0xbe11e67e, 0x63f080fc, 0xa1876b6d, 0xd8fa81fb, 0xbdbf9e0c,
+    0x227b3fe0, 0x917a6cdf, 0x069b2b46, 0x571f66f1, 0x61aebfed, 0x3d1816db, 0x4e4003fd, 0xedd98f1e,
+    0xe98cdf44, 0xa0555c1f, 0xa2bbc679, 0xc4211b43, 0x03a8447b, 0x06d8aba2, 0x5f918b78, 0x77eb9ee1,
+    0x94d7532a, 0x6555faa5, 0x0b403110, 0xf863abaa, 0x0de09b82, 0xd9abda4f, 0x6dafbef6, 0x881acf0f,
+    0x20d9e156, 0x511a523c, 0xc664d245, 0x54b1a37c, 0xed4a7da3, 0x87d454f7, 0x58604080, 0x0593aab3,
+    0xb048ce5b, 0xa8232a94, 0x42e949e6, 0x5bf616f2, 0xa9591e63, 0x970815cd, 0x7fc2e0e5, 0x40bf0c55,
+    0x53b72b78, 0x5efc2df4, 0x6e53fa8d, 0x80c95883, 0x80819000, 0x24e68822, 0x2a05632e, 0x440a9603,
+    0xe15b63a9, 0xa577acf9, 0xf1c67fca, 0xa8067130, 0xd0416109, 0xca9e441e, 0xee568c8a, 0x49bd98cd,
+    0xea11b3fc, 0xf9721a86, 0xb9f385f2, 0xecab3c6d, 0x45aaa2a3, 0x92ceba45, 0xb393bc6d, 0x239f21bc,
+    0x6970182c, 0x2ece6649, 0xed6dda90, 0x739ba1e7, 0x41de83c1, 0x9a7d7998, 0x5332dec7, 0xaefaf047,
+    0x12753a26, 0x1a7019c1, 0x3d30772e, 0x07f3a9b0, 0xe3989e6a, 0x733b2bb8, 0x5351369a, 0x9e02ef92,
+    0xd18cfb85, 0xcaeaf075, 0x192555e1, 0xf0a1e99c, 0x2fd0c3a5, 0x0ca8c3d6, 0xfc561fa1, 0xa3bd6009,
+    0xa5f5baa0, 0x1b8ddf39, 0xe2a07ffd, 0x1faace9f, 0x85444d24, 0xbf0bf628, 0x319d1de6, 0xf638c3f2,
+    0x46e59b83, 0xe776a0ef, 0x2e28a6f7, 0xf1cd2fb6, 0x8940324e, 0x49f68ad3, 0x8241b0d3, 0x56956616,
+    0x39595faf, 0xf7daa841, 0x53368734, 0xf6fdbe4a, 0xa6b0571c, 0xeaf536f4, 0x88c63e5d, 0xb5a1aad4,
+    0xfa120624, 0x4669133e, 0x8055126b, 0x057520e1, 0xd2827aa0, 0xaa3aa6fe, 0xcf1fb913, 0x1155fd86,
+    0x88fa18a1, 0xc7d29eba, 0x4b691e89, 0xa8b79812, 0xe06781ef, 0x1ae0320b, 0xa48a1b36, 0x27e49717,
+    0x7aec776a, 0xda3fbce6, 0x4d7f43cd, 0x631768f3, 0x71a668c8, 0x86336536, 0x7d4e9c87, 0xa7e56323,
+    0xd6d3adcf, 0x35a2d461, 0xb4054f8d, 0x6cf082a6, 0xf019457d, 0x4bd06785, 0x3a2c425c, 0x6fe41af3,
+    0xfc094bc7, 0xfd50270e, 0x4d88878e, 0xba8873b5, 0x7fe9409b, 0x6d9be606, 0x0cdcc219, 0xd19a2d4e,
+    0xbf3191f1, 0xe86747ab, 0x5273da0c, 0x6306bfd9, 0x8d761c75, 0x7b09f03f, 0xc42860db, 0xdc788151,
+    0xcd2e65e2, 0x820442d2, 0xdc2c9758, 0x7d07e015, 0x049ed76b, 0x8c46d03d, 0x4480980b, 0x7252fd78,
+    0x4bac4b68, 0xa25cf07d, 0x9fb1d2c0, 0x49505023, 0xd3b4324e, 0xee8cdbd9, 0xdaa83959, 0x75af829b,
+    0xf92d6b00, 0x713a14fc, 0x785011cf, 0x025a7d4e, 0xb035c4c8, 0x173a3a38, 0x062ea42d, 0x4418b00f,
+    0xf6a51669, 0x007c279c, 0x03bb69dc, 0x296fe577, 0x21c85360, 0x847f27c6, 0x544f89e6, 0x03db76be,
+    0x03b50d94, 0x93a3cd7c, 0x0d091065, 0x9530b8b1, 0x513a4973, 0x75acfea7, 0x7daefa65, 0x066059ce,
+    0xb0e90466, 0x9bb18f94, 0xcb00309f, 0x5ea59cb7, 0x1d710ce7, 0xfda813d4, 0x30c261cc, 0xeb92854a,
+    0x081d8ac2, 0x7220e393, 0x2e4f3252, 0x6ce266b7, 0x4bc42c38, 0xbe047230, 0x1e2f7506, 0x673e9a5b,
+    0x1f331b6a, 0x649e20de, 0x6cd820de, 0xa3a814a9, 0x0f0a3c8d, 0x6c0d0fa1, 0xeb83b19d, 0xe7eb3869,
+    0x10b3f750, 0xc47e8817, 0xd03d77ad, 0xb0a906c1, 0x1cc1f218, 0xa98f16f6, 0xd6b22c88, 0x1314114a,
+    0xc12e62ff, 0xa15eab5c, 0xce257697, 0x998ec4f5, 0xa39a5a59, 0x99feef70, 0xc74bf20a, 0x3ddf1323,
+    0x2ac85347, 0x9f865a07, 0x6c02707e, 0x11719044, 0xa47dd7e3, 0x9be81fe3, 0x061cf53b, 0xac4e6073,
+    0x0142fd8e, 0xb38dbb74, 0x4dc69563, 0x640f92ca, 0x81541c1b, 0xa20e8634, 0x4fe59f76, 0xfe8f274f,
+    0x63de6a31, 0x59f396e5, 0x95446165, 0xaac67d4c, 0x6d5b1d18, 0x7dedb138, 0xff5e164e, 0x16a4312b,
+    0xdede93a1, 0x78071720, 0x8d98e84c, 0x16d6ddd1, 0x514945cd, 0x6d261b2f, 0x4cfe266d, 0x3d69e4cd,
+    0x735f5308, 0xbc6bdf96, 0x24085036, 0xb407135b, 0xb9fe5356, 0xe709c8f7, 0x14d53cd9, 0xdb8b7259,
+    0x09a165bf, 0x04bf06e2, 0x1424e554, 0xb233b14e, 0x3298ef9a, 0x019f815d, 0x877146d5, 0xa867b0fe,
+    0x1933f930, 0x42fe96d6, 0x23da7f35, 0x56d3a012, 0x4ee660b0, 0x9df97472, 0xbf163560, 0xb65c235f,
+    0x6066f42d, 0x6ecbce64, 0xf8c16e71, 0xb7ad2aca, 0x9cf3b2ee, 0x176d18bc, 0x5c893d0c, 0x4e01f33c,
+    0xc350100a, 0xcb431774, 0x6ac59c23, 0x59666e34, 0x13ff0b3c, 0x73d83e7e, 0x403346de, 0xec94885f,
+    0xed37d162, 0x8ec94e6f, 0xb6468597, 0x9ef10b4b, 0x0be5b49d, 0x6b558566, 0x31eaa6ad, 0xb5c4ec3d,
+    0xdfcab8e1, 0x03f3bb62, 0x83b48f2f, 0x744c05dd, 0x70cea90f, 0xc9b7f0a2, 0x5c9515f8, 0xde7f7fd5,
+    0xba71792c, 0x84a5ba8c, 0x330b2357, 0x0fbc0163, 0x28fe1864, 0x6c0580da, 0x488f7a9c, 0x159f6349,
+    0x2007222b, 0x420edd91, 0x0ddfbdec, 0xc8ee4dbc, 0xad069950, 0x7ece3d84, 0x9f06e13d, 0xe280643b,
+    0x31b6f343, 0x186bb466, 0xabf2fbd9, 0x17a1cd0b, 0x02594372, 0xba8b9c4d, 0xcfdd1707, 0x18d2cc90,
+    0xb7642a04, 0xf7ecccd1, 0x2c25db2b, 0x73d4aa99, 0xec7d46a8, 0xb8aebc9b, 0xacd6a4ef, 0x17af2882,
+    0x2b863d23, 0x652380bb, 0x55a99ed2, 0xa1b7d0ac, 0x01b8a2c5, 0x7a7c2800, 0x6d67637a, 0xe584c26f,
+    0x0dbc3cde, 0xa6ce618b, 0x0cbec2af, 0x5914f647, 0x15fad929, 0x9e4c2b32, 0x9048d254, 0x9d8be4c0,
+    0x476275c2, 0x6610f001, 0xda0c33e8, 0xb1f9d3e6, 0xa082e6e6, 0xe8bcacd4, 0x43031c86, 0xa8331166,
+    0xc1d59d24, 0xd2ba0cc6, 0x95113f3b, 0xb380e6dd, 0xebb411a4, 0xea6c5408, 0xe0e4de14, 0x60aeb957,
+    0x610e7728, 0x7a231637, 0x3ed95a14, 0xafca1ff4, 0x6e335224, 0x1cec2e17, 0x296e2267, 0xc5f51b14,
+    0xcf982645, 0xc065934c, 0x03578af2, 0xa6e1bbe5, 0x1258c0e5, 0x1b6443c2, 0x45aa3fa3, 0x369731a9,
+    0xdb554f4a, 0x42a2d2ad, 0x71511bd4, 0x9aed2b1b, 0xcd8b1b7e, 0xc1dd0f82, 0xaa177517, 0x4fd17c91,
+    0xe2d1e7ca, 0x8b6a919f, 0xf3740c40, 0x54a647d0, 0x4e48d3da, 0x67916238, 0x919c0045, 0x7fd54215,
+    0x89a24b5c, 0x62e0a159, 0x984a0db7, 0x9e03da06, 0x1ba5775d, 0x8d269863, 0x3d54348f, 0x1be6fac4,
+    0xaede1c3e, 0x093d5238, 0xe42123a4, 0xce494b2d, 0xef067823, 0x5641deea, 0x5f3ed31a, 0xaaa76ebe,
+    0x577d2aad, 0xa962e797, 0x9ad01077, 0x3ec1b46c, 0x71b2e82c, 0xb425d14e, 0x1f5203d8, 0x42fab4e7,
+    0x34ad5284, 0xe375ec2e, 0x033ba820, 0x20789f26, 0x9d1f30c6, 0xf29170b2, 0xc0fec477, 0x01a5088e,
+    0x1e560599, 0x3b4f42b8, 0xfb391166, 0x1b033151, 0xf3583d0b, 0x6f006659, 0xcfc40804, 0x85eb485e,
+    0x94bfb5b9, 0x90b2cfd2, 0x11eec2b3, 0xae2463f9, 0xc601ac36, 0xc44e62e7, 0x47238282, 0x85f59680,
+    0x20524aca, 0xf07cd107, 0xacbc6410, 0x65813a46, 0xa0c2068f, 0xeeb7b663, 0xf51cbcb0, 0x067bec6e,
+    0x7a42613e, 0xce54c6ca, 0x65fe084a, 0xc5e1cdf8, 0x60b77c24, 0x853e0a67, 0x73205518, 0x3e078f0f,
+    0x0ed4c72a, 0xce41ac08, 0xea2104ee, 0x31ea4728, 0x8a480d8a, 0x9af18c80, 0x618fb8db, 0xe43ee1ca,
+    0xfb190767, 0x26e18ddf, 0xd6cbf2d3, 0xa7d12ac5, 0xc9b26c67, 0x5cd76255, 0x63546557, 0x40eb64fb,
+    0x2dce8ffa, 0x0621825f, 0xdc90dcea, 0x17a95d8f, 0xb991354c, 0x961d89ea, 0xc8dee74f, 0x141c0709,
+    0xa3d5b1d4, 0xf403541b, 0x5ead6e5b, 0x5baf6559, 0x05f363ab, 0x6c124062, 0xfa5af88f, 0x7c0ddcab,
+    0xb2972fd3, 0x21361d10, 0xac052c93, 0x2f23ad0c, 0x66a9800b, 0x957f0b3c, 0x87c6e99f, 0x5d7c74c6,
+    0x69e0bd9d, 0x9dd73222, 0xfe267e45, 0x57742d64, 0x6ef7a592, 0x9683017f, 0x3e3e3ffc, 0xcabd5527,
+    0x5c664677, 0x1b8bd643, 0xe432bd22, 0x4f54bb1f, 0x94493cfa, 0xbcccaad1, 0x066a46cf, 0x15432288,
+    0xaaf03da3, 0xca7f2649, 0xab55c1d7, 0x3ac6a3ac, 0xf7f86060, 0xc16f8303, 0x9489d04e, 0xcda2e596,
+    0x3abf9910, 0xb4c88373, 0x6aa16187, 0xef576435, 0x7a9749c3, 0x6165cc9a, 0xd022649e, 0xb075a6c5,
+    0xbdb76f49, 0x44739873, 0x65dd6726, 0xc29f7d06, 0x0ad8f5d7, 0xaaef2080, 0xd3a8a750, 0xf25ca998,
+    0xedf616de, 0xd8e1b534, 0xc4df94ad, 0xbc6cede2, 0x1e8c69f4, 0x40a1e018, 0x4ac62ff7, 0x99483e0a,
+    0x778dc606, 0xd9c65aca, 0xe56fdad8, 0xd5aaa316, 0x65c8d584, 0x9d279cef, 0x349037a0, 0xbf7b84e7,
+    0xf8e46dbb, 0x92b9c962, 0xb990104b, 0xcd8dccfe, 0x85ed4a66, 0xd2ff0e2e, 0x9294a7fd, 0x8bc7f516,
+    0x192e39ff, 0xa3f563d3, 0x27b28def, 0xca66065e, 0xc7bfcb24, 0x3a7c3ef9, 0x7984eaca, 0x407ec9a9,
+    0xc0f98fa7, 0x1bb0db98, 0xbab83e40, 0x913e6abc, 0x154bed0e, 0xf6615911, 0xa8344f06, 0xdd45401d,
+    0x5dd3fcd7, 0x574df5c1, 0xe8c9e96a, 0x6edc67f0, 0xc409e0bd, 0x9f44b8d4, 0x3e13c00c, 0x8639623e,
+    0xbd36ae8e, 0x73649ec4, 0x5f4d2146, 0xfc9b6ad6, 0x093a55d4, 0xee0e7fab, 0xceca6739, 0xb3898b53,
+    0x57f1481d, 0x9388d93a, 0xa44b4572, 0x9c532d11, 0xd3231bd4, 0xb043587b, 0x89c751fa, 0x561fed4d,
+    0x92d68220, 0x0c834acc, 0x12ffabe8, 0x46e46262, 0xb4f6051d, 0xc57c7aa1, 0xc54d10af, 0x2e5bdd52,
+    0x68a33abf, 0x4627315c, 0xa5b42575, 0xf81d0e26, 0x475e6ebc, 0x16b047b1, 0xdd209eeb, 0xadea894c,
+    0x5d7f3790, 0x885c2e8c, 0x1fac0b52, 0xc028dcf3, 0xbe946446, 0xe25c244f, 0x775b844c, 0xf983e561,
+    0xd01d2227, 0xb59394aa, 0x8cf46fa6, 0x742021ea, 0x302d3856, 0xf70d1d96, 0xec7e6188, 0x8249e068,
+    0xe3e973d1, 0x60451a6e, 0x7716cc3c, 0x8ae484cd, 0xd62ee078, 0x0f441f5b, 0xaee67c54, 0x6ebc8583,
+    0x93e105be, 0x064e1f85, 0x887a0051, 0xd24952f8, 0x1c144bf1, 0xfce638fe, 0xa35096de, 0xd22b1a77,
+    0xd61c4bce, 0x05b26f20, 0xc82bb7e1, 0x84c553c9, 0xfade4903, 0xc6c76ade, 0xf9cdb6dd, 0x9137696c,
+    0x952e4692, 0xb4b002d0, 0xb162e61a, 0x6a4d6fb9, 0xdd36b492, 0x098a7086, 0x44a45ca1, 0x5e969dba,
+    0x8ce042d8, 0x7af6e947, 0xe1a4a4d6, 0x04ee0457, 0x905878c8, 0x7cb5db1f, 0x4afa7436, 0x8c681d59,
+    0x8f8f15d8, 0x33140b18, 0x9e0177d1, 0xebc90fa0, 0xecc22172, 0xcc6baac8, 0x5c44c554, 0x47f0aa97,
+    0x28d828be, 0xc56dd214, 0x9417f31f, 0x70cf35ce, 0x6e8ed5cb, 0x637cfcfd, 0x07201804, 0x5ece2ad0,
+    0x33b51307, 0xa4ea348b, 0xf67d7863, 0x29081126, 0x5c9a6687, 0x03893b07, 0x2b395081, 0xc8ea988c,
+    0x07320e9f, 0x84a922ff, 0x8da552f5, 0x90d660ec, 0xa5873dc2, 0x0871e34a, 0xf9b4116b, 0x425295f4,
+    0xaab36993, 0x3edd3db7, 0x177e7991, 0x93cb4caa, 0xac3c5421, 0x096aac84, 0xb2a5c6c0, 0x894d9fb5,
+    0x462786cd, 0xb2da1e83, 0xf061c954, 0xf4c09978, 0x6ac89f7f, 0x7df5e9bd, 0x8aafc553, 0xc2c35073,
+    0x7dec3226, 0x5e7b1c0f, 0x592e3484, 0x2c1ac288, 0x7ba038b9, 0x443c7ece, 0x4133e1e9, 0x41f05bfb,
+    0x03ed411d, 0x7d671fd6, 0x8ca0e23d, 0xead9b4ad, 0x11610b32, 0x80236aef, 0x2ae6b004, 0x19fb956f,
+    0xf0227c99, 0xf3c50b42, 0x16def711, 0x73fd32bd, 0x68eaa660, 0x64fbbad5, 0x907a7bcd, 0x23347496,
+    0x1bc61488, 0xf60e66bd, 0x9ebca18a, 0x6d24588e, 0x15b0b118, 0x68b6655c, 0xfd8626e8, 0x7e0402d8,
+    0xd070bc3d, 0x79f10301, 0x4cd1a08a, 0xbaf1cbad, 0xd2703176, 0xdda66fa8, 0xd85a0b20, 0xebcc3b72,
+    0xc8f74a72, 0x2376bbc1, 0x5363d671, 0x3d81bce0, 0x13731588, 0x0b1ffb81, 0x42a348a4, 0x37287016,
+    0xb439d86f, 0x32d5e7b2, 0x7dea1704, 0x74801b08, 0x7be3def9, 0x410eee18, 0x239a8374, 0x4aa9ee00,
+    0x65182738, 0x41bb0c94, 0x2a0a26d6, 0xefbc8d3e, 0x322744d3, 0xe8917b22, 0xf456c0a2, 0x4da3998c,
+    0x472e5248, 0x2da8b1c4, 0x6c25b1ad, 0x70f93045, 0x3d6d14e7, 0xdfac2557, 0xde0467ba, 0x99eb8758,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000019892929456\
+                          39146568621528992587283360401824603189390869761855907572637988050133502132224 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1,
+    0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfb, 0xe8c3d317, 0xccd7810a,
+    0x00000000,
+    0x862722a2, 0x714e6aff, 0xa635a8ab, 0x28aa3f8b, 0xc7e10253, 0x0c5eb908, 0x89757670, 0x32e356b7,
+    0x51640bca, 0x5fe413ee, 0xed4fed67, 0xd9ade880, 0x06d8beab, 0x0ba6200e, 0xea9ce2f2, 0xfc1dc89f,
+    0xe73ea6bd, 0x350be634, 0xaa3b6f25, 0xf2db9eed, 0x6298ca38, 0xf82bb62d, 0x9ea2e26e, 0x6c1d5dd7,
+    0xe6b9e9bb, 0xca34dedd, 0x4fd4ae1c, 0xa2bfd95c, 0x22643641, 0xba365c19, 0x4f6e9503, 0x6c7713a8,
+    0x1e9c21e3, 0x42376388, 0xe0a154c6, 0x8cae543f, 0x26098758, 0x425ade81, 0xa3cf0261, 0x4bd4a19c,
+    0x958cab9d, 0x18df9586, 0xffc58d86, 0x532a0138, 0x8bede3af, 0x671b82c9, 0x0193cb9e, 0xe7b46f82,
+    0xa6730e96, 0xddd88b6f, 0x3f1d0fc0, 0xe126cf5a, 0xff59251e, 0x567cb8cb, 0xf2425b9c, 0x83f6f357,
+    0x091f372a, 0x9427ff6c, 0x677aaafe, 0xee72be9e, 0x9e3e1031, 0x683a2c19, 0xb66acea2, 0xbadfaeba,
+    0x466ab7bc, 0xea4d5ec6, 0x2638ca9e, 0x27ff7353, 0xe7837ec2, 0xb3ea0a9c, 0x83c9491e, 0xb90da9eb,
+    0x41bf7f1b, 0x3370155c, 0x1fe1a6c4, 0x8624c6bf, 0x2225a123, 0xbd56afba, 0xd96064d7, 0x13ee8b43,
+    0xc24f1e63, 0x1972d938, 0x9ea919f0, 0x6f34add9, 0x7a09adc3, 0xb6f096f6, 0xf2864bab, 0x9f481c4f,
+    0xfaddde8d, 0xe4bfefbd, 0xb74b3bc7, 0x05d34293, 0x94e5a9fb, 0xb44c7541, 0xd48ee30d, 0x2ecf4578,
+    0x58ba8513, 0x5545c763, 0xbe9e65ac, 0x94da0a4d, 0x1adf49bb, 0x611feca4, 0x3da76d46, 0x1d104cd4,
+    0x42927930, 0x365099fc, 0xd8d57e2a, 0xdc7a3f8f, 0x5e1b4dbb, 0xc352a751, 0x10d8a789, 0x02eba120,
+    0x3736394d, 0x87143985, 0x5c1ed37a, 0x65a062a6, 0xed1990c0, 0x828424c1, 0x17bc18f3, 0x1dc3f81e,
+    0x41416d03, 0xd336d11a, 0x67a60f32, 0x03ee22ba, 0x0ee1e3d5, 0x06c1b72d, 0xa1010291, 0xce49812f,
+    0xc52d2c3e, 0x865ade91, 0x3d7fc7c1, 0xefd40a37, 0x77ab485d, 0x8bf51d33, 0x61d4c653, 0xeb6516a1,
+    0x20294aa6, 0x33d954f5, 0x8a87c633, 0x0d709db7, 0x31cfd802, 0x63ccfa93, 0x9223b7da, 0x4c626c5c,
+    0x4bf527de, 0x85f29547, 0xcdf9194b, 0xb23d8631, 0x50372b29, 0x695081f2, 0x7fd1a6f4, 0xa5872816,
+    0xa8f31cf9, 0x6e21102c, 0x8bb75e9b, 0x623701a8, 0x3dee9574, 0x5da95372, 0x9532433b, 0xc7eb79f1,
+    0x713c7d78, 0x051ebfae, 0x63f29cf1, 0x621c77b2, 0x4576636d, 0x6108de1e, 0x793c2583, 0x297fec6b,
+    0x4a7acc96, 0xa0bf5ea6, 0x62d40768, 0x72c13c30, 0x44c77c24, 0x2567929b, 0x0c3a0220, 0x5e612896,
+    0xb21befbf, 0xd1e01583, 0x8f526150, 0x5ceb681a, 0x37516bba, 0x73f7e2c5, 0x844d46c7, 0x987b21ac,
+    0x4182b9bc, 0x708abc99, 0x551f0b7f, 0x5755e44a, 0x17687129, 0xc8d39be5, 0x428c7426, 0x96a4ebff,
+    0x9ead6473, 0xae912118, 0x97a6b89d, 0x9b798e1d, 0x97667544, 0x743569b5, 0xa87ccbaa, 0x97b535bb,
+    0xaa548508, 0xeb21aeee, 0xf312453b, 0x1a01d013, 0xdfaa102e, 0x9521ea17, 0xff33c4d4, 0x6cef51c9,
+    0xd7b07e06, 0x40a1af33, 0xb120f270, 0xdce1e41a, 0x9921c6e0, 0x1a0191ff, 0xc695d5f3, 0x6e85beed,
+    0xcbac09f2, 0xb3c47a77, 0x30f43cf9, 0x5eb8ee19, 0xcacc2a3d, 0x4ec44496, 0xdaa9fe86, 0x96d3b124,
+    0xef7e49e0, 0xf47f5ee7, 0xdca893c1, 0x8ec9f69a, 0x97ec2817, 0xb13c6cfd, 0xfede522b, 0x971472d9,
+    0xa3d33405, 0x09849d18, 0x26e3a753, 0xf97918a9, 0x22be0cf5, 0xed3b2526, 0xabf38842, 0xb45252f7,
+    0xc4bab9e6, 0x9a20ba38, 0xd99339d7, 0xdb73b182, 0xb2f7124d, 0x1369ea3c, 0x66269dbe, 0x3bbd1863,
+    0xcb3e03e6, 0xd6d41db7, 0x4ef61369, 0x172c633d, 0xb0a1a81c, 0x186899de, 0x3720c2d9, 0x71930164,
+    0x910a371a, 0x60897ce5, 0x7b036244, 0xd411bb0d, 0x062c5827, 0xe4b92d30, 0xfc105905, 0x4b099817,
+    0x08876478, 0x4d5d0eb5, 0x25954a44, 0xa60380a7, 0x343ccd34, 0x2b7ce09d, 0x4fa49ec8, 0xeaec2224,
+    0x82f0f830, 0xff6fcbee, 0x0f584e16, 0x20753bfc, 0x4c9b6838, 0x3efcf293, 0x1a16a5b4, 0x5753c422,
+    0x5c192704, 0xd0f63995, 0x02aeb5ab, 0xf5a4db04, 0xf5313c83, 0x2874914f, 0x625398d8, 0xbb439b5c,
+    0xb80a873c, 0x7189ea63, 0x3a35345e, 0x6877ab62, 0xf63da852, 0x67dcd20b, 0xca09d27c, 0x81b9d804,
+    0x16527790, 0xf2325e61, 0xf15d18dd, 0x13cf150b, 0x3cf86fca, 0x8574c984, 0x478778a5, 0xa48fb1ac,
+    0x739be6e7, 0x9da1071d, 0xacaaafb7, 0xb13950f0, 0xb5853596, 0xb513a5b9, 0x523eb838, 0x3fa2e962,
+    0xc96a084e, 0xf52f26e7, 0xdec4629d, 0x90957f39, 0xee540c6a, 0x6074145f, 0x91d58731, 0x42e748c9,
+    0x32a28205, 0x05506a9d, 0xca8e2c16, 0xfa4d84a7, 0x038d7f2d, 0x08b0bddf, 0x07c08eff, 0x731de504,
+    0x2fa2b962, 0x8ae8ff43, 0xb816c8c3, 0xace0696f, 0x04765972, 0x52ee64a6, 0x6367e5e0, 0xe171e5d7,
+    0xbbaa1ee6, 0x562c9166, 0xdd38175c, 0xdd6f5e41, 0x76f41d92, 0xe07ff766, 0xff745974, 0x63d64d56,
+    0xc471ae15, 0x4ccf5960, 0xe84b4981, 0x396db60c, 0xdc59ec44, 0xec7fffc7, 0xbb039d75, 0xbd3e3c88,
+    0x484a1549, 0x699da930, 0xc000b2ad, 0x1bb84598, 0x75930bd7, 0x32a5080a, 0x729d5d44, 0xe2ad9fb9,
+    0x13de2e4d, 0xd5fd4ec9, 0xd1c646bc, 0x7d1deec4, 0x194d3f77, 0x9e8e99ff, 0x6037528a, 0x722598dd,
+    0xb682b205, 0x1a1214af, 0xd3853ba8, 0x0cca3b68, 0x57297f94, 0xb7e9778f, 0x8a875d4b, 0x45871221,
+    0x220b6176, 0x193c0a33, 0x0ece7270, 0x749ec013, 0x7e14aaa8, 0xf6314aa0, 0x3eda506a, 0x0560e416,
+    0xe0fb5d70, 0x56fb346b, 0x9a04ded9, 0x1bbd5176, 0x4382b481, 0xc6bceb4f, 0xee5cf138, 0xe732b9e0,
+    0xa15d9679, 0x625457bb, 0xa7ddd5f1, 0xef6147ae, 0x3f4024d2, 0x9d664a31, 0x2e67985f, 0x508e37d1,
+    0xfc46d68e, 0x5756dfbf, 0x7a3cff7e, 0x38d4d34d, 0x84dbeb6d, 0xdb357aec, 0xa7721c3b, 0xafaf741f,
+    0x6f3544eb, 0x9e25f85b, 0x82a10fc9, 0xbcf0dde3, 0x12595ea0, 0x1828ae01, 0x5bee4597, 0xddf23736,
+    0xa7daa0ae, 0xe52847a7, 0x06f916c4, 0x4bb32dba, 0x7f20ee77, 0xacc7b881, 0x01a3560e, 0xb5047736,
+    0x6b3414d4, 0x75196068, 0xc11e4c50, 0x95ae83ec, 0xa6cf526c, 0x70a22076, 0xe465cefc, 0xe72f9e4d,
+    0xd0158da7, 0xa35b082d, 0xb42e9ab2, 0x8f39fde5, 0xb19b9b84, 0xcf0210c1, 0xe15f8ce8, 0xe9bfce44,
+    0xe91629b2, 0x46c33e34, 0x7f28f898, 0xb89a36a0, 0x6df45c98, 0x02bf14c9, 0x70e5c858, 0xbaad8bfa,
+    0x170dabc2, 0x08cdd12a, 0x4d221f4e, 0x6ad15d77, 0xbae3b810, 0x06615f9d, 0x2c071bb4, 0x98737bce,
+    0x95d395c3, 0x3576f1af, 0x1a2baec8, 0x42ab3c90, 0x304bd1d4, 0x3e32bc83, 0x8e625e46, 0xa877cf95,
+    0x93da39ed, 0x3a3d76fd, 0x238e9c50, 0x290d4cdd, 0x1918bf57, 0xc0ce82c5, 0x2f507f00, 0x43c9e4c3,
+    0x84963508, 0x4c979729, 0xc5897d2f, 0xafacff90, 0x6d7a37e7, 0x0edc53ef, 0x658e2b28, 0x0c3ad112,
+    0x2f08a324, 0xc1bd21c1, 0xfbaa1ccf, 0x2321256d, 0x452ec0ee, 0x5d3712b4, 0x1e23be89, 0x81f1b043,
+    0xfb7e83b3, 0xff4146ef, 0x1c6d6361, 0x618d2f61, 0xde986888, 0x1729f6eb, 0x3dd59840, 0x99037511,
+    0x774b1311, 0x8c5891df, 0xa50d6a78, 0xdcbf89ca, 0xea4eacb3, 0xd573fe9b, 0xc961f153, 0x31486fc5,
+    0x519783e0, 0x04f8e16a, 0xd51692e3, 0x1a4c19bf, 0xfe317f26, 0xdf72bb80, 0xd9743ff8, 0xddfc2903,
+    0xe643a801, 0xefa18fb0, 0x21f57930, 0x2887ec6e, 0x1766089f, 0xb4dcdf8a, 0x48699a0c, 0x0a8f2401,
+    0x44ca86b4, 0x50fbd9b7, 0x70b1319a, 0xaba668da, 0xca00958d, 0x74410979, 0x688af77f, 0x78d94f9b,
+    0xc18dbc80, 0xc3e38ddc, 0xed332353, 0x01272fa2, 0xcdcb9739, 0xfddaf4d1, 0x34e58566, 0x98da67a5,
+    0xf6e958a7, 0x62277c70, 0x117fe781, 0x10c8fc2d, 0x2efbd03b, 0x886b9f59, 0xf76bf8f4, 0x54986b1d,
+    0x97920206, 0x448a2a97, 0x754178dd, 0xd79934c2, 0x324d1937, 0x13483026, 0xf57fb309, 0xcdf7ca6d,
+    0xcc0f2203, 0x84e4d640, 0xa70268fd, 0x6b13af1b, 0xe49f0a35, 0xefe25843, 0x4cc3f517, 0x7d902ab6,
+    0x12e0c1b7, 0xdb586c36, 0xa6f8faa8, 0x3f920e75, 0xc3d5f203, 0xaf56edb6, 0xe606ed7d, 0xf7b5070e,
+    0x0ec2c28e, 0xe2945153, 0x1f6dd95c, 0xc9ed1324, 0xd2f4ee7c, 0x410774a9, 0xe897e3fd, 0x6045c64d,
+    0xee133f8a, 0x4b891311, 0xf95ebfaf, 0xb46fa4b6, 0x352fde1a, 0x42018480, 0xc3ed2e81, 0x397b940e,
+    0x35a1f0ea, 0xe51f29e5, 0xc71d4852, 0xc27aeec6, 0x3c0aa768, 0x7d3a477a, 0x9f37302e, 0x44475f6d,
+    0x6dbfe157, 0x7e7121bf, 0x2fda4a37, 0xf77485cc, 0xf2670f4c, 0x8d3ca8ce, 0xa838c192, 0x8cc4ee4d,
+    0xf5479b6c, 0x74b3af1e, 0x3031a515, 0xa17f501c, 0x109bbd65, 0xb3554e44, 0x043591a9, 0xfd0a488a,
+    0xdab2a8c6, 0xc01d88d1, 0x19e55b51, 0x501d77fb, 0xd0ecd3da, 0x1c3062de, 0xdc647b80, 0x46d9628e,
+    0xa55e6f59, 0xacb1d725, 0xb6782447, 0xf0167228, 0xa42e306b, 0xee7c4d25, 0x08193660, 0xcd4c0e70,
+    0xa758f316, 0x3a7cd265, 0xa24d3f87, 0x0481525f, 0xb797444e, 0x83227b60, 0x2a966c90, 0xc75de806,
+    0x362c3d21, 0xd2655424, 0x486b1353, 0x19bf0500, 0x06d31dee, 0xb0d55375, 0xb23dcfc8, 0xed3b437b,
+    0xd4ea5eb1, 0x09180152, 0xd7a25d35, 0x822ec612, 0x68d72447, 0xa41566ee, 0xe50fa9be, 0x2e8b82e0,
+    0x1fcf97a7, 0xdff860e8, 0x971514d9, 0xe954f306, 0xb82f579b, 0x8a15cea7, 0xa8b11bc6, 0x61b19fbb,
+    0xbf33c57d, 0xed72eecf, 0x771952dc, 0xc17ca0ff, 0x1273feb3, 0x97894bb9, 0x2c204639, 0x2889fe77,
+    0x25cf6d72, 0x9f8ade52, 0x6c4df0ac, 0x7fd3dfb3, 0x6bde293a, 0x9f1f6699, 0x5f8513b7, 0xb08eba6d,
+    0x4fe8270c, 0x0d5c3051, 0x444ff35c, 0x17dbae82, 0xd75c9fb1, 0x9d0ace7c, 0x9bfe2a8a, 0x39442da0,
+    0x7b69e22e, 0xb59c898a, 0x490cd803, 0xa89b67de, 0xd2d312ac, 0x57131072, 0x1fe910f1, 0x2d9822be,
+    0x12b8429d, 0x754f2aa5, 0x2f0af96d, 0xabd582de, 0x4540b37d, 0xf33adc81, 0xf1ca2abe, 0x7a816236,
+    0x38852ba8, 0xf388af1c, 0xda941576, 0x6ad32a9c, 0x92e96b6c, 0x3f205857, 0x2c37b465, 0x067edd70,
+    0x2fc4bf44, 0x6fe6c0a5, 0xfdc4fd9e, 0xf7c7ecd2, 0x54c2df89, 0xb98995d4, 0x36ac769d, 0x0408934e,
+    0xdccbc7da, 0xa21f7308, 0xa07fb26e, 0x0457380f, 0xabce6c2d, 0x73872696, 0x70c104be, 0x07e9b603,
+    0xd7126c79, 0xeecd34cc, 0x5e501093, 0x6b415c9b, 0xc9a46247, 0x6e5c3954, 0x09901a5e, 0x2b22a6ce,
+    0x5ede5f15, 0x07922b9a, 0x407d317d, 0x3ec59bd8, 0xcbb701c0, 0xf9bd8b49, 0x254dd911, 0x19f7c5cc,
+    0x599df538, 0x0c7d6db2, 0x09946313, 0x33cb15bd, 0x25ea541c, 0xbbceae8f, 0xa14b15f9, 0xe1d8d3af,
+    0x5e3724bf, 0x1281c540, 0xd8cdfed8, 0x1f20d8df, 0x1698893c, 0x35ce59ec, 0x7883f2b6, 0x7a600fb0,
+    0x7e6acd9f, 0x8cf7cdcd, 0xca62e9bc, 0x0c8acbad, 0x82741173, 0xde579451, 0xea653261, 0x2fb0b816,
+    0xbd206e57, 0xec2149ea, 0x169faeef, 0x6c95e6f2, 0xf9ce689d, 0xf9168fd8, 0xaa2e1078, 0xb7bb9a4a,
+    0x081e9b20, 0x7d662957, 0x4cbe24fb, 0x8651e76f, 0x96a96c22, 0x7b8f909c, 0xee67bd8f, 0x68212770,
+    0x32620ec3, 0x9e2f27b9, 0x7edd0cee, 0x328cdf90, 0xa1721821, 0x7b19179b, 0xa277b99d, 0x1c1d1614,
+    0x8f3b00a1, 0x4facaecc, 0xe718d693, 0xb0ead0d4, 0x630f03d8, 0x44264296, 0x7057ec9a, 0xaed22577,
+    0x31dbf7ea, 0xe3b5b50b, 0x63598dd1, 0xb1347f05, 0x2dac18de, 0xb5e34a77, 0x464d4948, 0xb701f3c8,
+    0xbbec7138, 0x3ecf6099, 0x0d9ee06c, 0x1e67c1ff, 0xd14d63e6, 0x62f2a70f, 0xc014e219, 0xaeb965de,
+    0x7b79da64, 0xc7228334, 0x84aae651, 0x650e6916, 0x056424f6, 0xfdda6d58, 0xbef5cefd, 0x51d3b50b,
+    0x7ffc7657, 0x0f419dfa, 0x5fe56cad, 0x8e76f197, 0x63cc746e, 0x6d7450ab, 0x22d58a56, 0x89cbb8b9,
+    0xa625ad5b, 0x9a819ef1, 0xf7b05c07, 0xfcc4623f, 0x6d359718, 0x80c358f7, 0xc4305775, 0xbc4f17fb,
+    0x4f83e038, 0xdd99cf89, 0x5f5f7374, 0x71e075c6, 0xb41179b1, 0xea2bbc5e, 0x697c64fa, 0x7151106c,
+    0x05f32910, 0x3c09a92c, 0x825619d9, 0xefdd0e4e, 0xa0be797e, 0x00442519, 0xa45c3812, 0xff99bb19,
+    0xd46b5059, 0xebc5909e, 0x6d77af61, 0xd9e9f7e6, 0x35f69020, 0x8427adcf, 0xc270f476, 0x46718776,
+    0xce64995b, 0x07017c71, 0x90c3a405, 0x49170f66, 0xca720037, 0x340f951f, 0xcc8337d2, 0x22991543,
+    0xf508554e, 0x189088eb, 0xb1075f4a, 0xc071edbd, 0x6886db91, 0xc42c584c, 0x524bfda7, 0x24de4240,
+    0xfe431f26, 0x081e882b, 0x6f6fd50c, 0xc8fb91a5, 0x4509b4e6, 0x3fefc942, 0x1ddaef3f, 0xea897109,
+    0xb654c6a2, 0x275d969a, 0x3c6eccf5, 0x9e68d495, 0x2fb19278, 0x6ae920b1, 0x9810e565, 0x56b86753,
+    0x075eb839, 0x1616a64c, 0xecc664de, 0x06407eb7, 0x78821c23, 0xc523d34e, 0xa03dca5c, 0xc6b0a0a8,
+    0x688ca062, 0x674496f0, 0xb945d19d, 0xd3238e23, 0xfdb43d5f, 0xbe36f00b, 0x56fef986, 0x818ccc62,
+    0x8c5c1aa9, 0x7e45899a, 0x810a6bda, 0x633c839d, 0xa894a56a, 0xae02ab27, 0x485fdda0, 0xf593c8f0,
+    0xc1d2e63f, 0x50461ef0, 0x572a0438, 0x28dd80c9, 0xde8ac5c9, 0x1596fd00, 0x68630f01, 0x13260afa,
+    0xdc034602, 0x20976e97, 0xa2b74ecd, 0xa5780687, 0x1b04e295, 0xa8fe7438, 0xd38dd56a, 0xbb187b4a,
+    0xd8bf35b0, 0xb3c08e28, 0x56671a94, 0xf770c7ab, 0xd59dc991, 0xfb4d44b3, 0x27543d03, 0xbe2a3087,
+    0xf814f6d7, 0xf99ca8a3, 0x08040242, 0xe766f543, 0xcb8d443e, 0x01c03afe, 0xb29d6dfd, 0xdbfc5d8f,
+    0x1da50b9f, 0x0830fdcb, 0x2d8a9525, 0x90976fe1, 0xde990d89, 0xd8842012, 0x88739602, 0x545a0709,
+    0x6554a0b3, 0x40b199d0, 0x4b682c5f, 0xe45e6e0c, 0x9032e733, 0xae241611, 0x54694d19, 0x18ca4d14,
+    0x1e29789a, 0x6698c04d, 0xa9637549, 0xde31df15, 0x8617598b, 0x045a8213, 0x1b31898d, 0xeaa1536f,
+    0xeda5aa07, 0x17a8190f, 0xa6367ef0, 0xb4b8c914, 0xbf690ab6, 0xe12755d8, 0x1525980e, 0xd0be5f6e,
+    0xdab9aca4, 0x648f66c5, 0x576779a0, 0xa381c087, 0xf68e2c75, 0x7e0dd9f9, 0xbaa3d21d, 0x1fe2d5f1,
+    0x1aa863ad, 0x420708e2, 0xc92d46b9, 0x1effedb6, 0x6042a7cd, 0x463ed3d5, 0xf9661988, 0x7d8f48f0,
+    0xebd092ad, 0xb3f64cbe, 0x273ae68e, 0x3911b20d, 0x191f2857, 0x4af4ec5f, 0xb6f81dd4, 0xcc13e6c9,
+    0xb3c1ba84, 0x5e6d2096, 0x23d1013e, 0x0db26b0a, 0x42a59d18, 0xfb618e15, 0xb2531565, 0x824ecd5f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000009946464728\
+                          19573284310764496293641680200912301594695434880927953786318994025066751066112 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0,
+    0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfd, 0xf461e98b, 0xe66bc084,
+    0x00000000,
+    0xb951aa9b, 0xb340eaa7, 0xb41af40b, 0x2aeb3a52, 0x67a632d6, 0x81537abf, 0x05312c72, 0xb16c9f3e,
+    0xca8f06f4, 0x8cddab99, 0xd8cd9dae, 0x6d54be51, 0x52e8d8dd, 0x58a06b40, 0x409051d6, 0x0452e737,
+    0x07d53975, 0x6fdfc48f, 0x0c46299f, 0x3429ba2c, 0x381cd356, 0x660fa8c5, 0x2d22c139, 0x783ce414,
+    0xbec9b920, 0x83799702, 0xf11cdccc, 0x6cd11138, 0xdb057a3a, 0x9d4711a0, 0x62f92d77, 0x917ea35d,
+    0x25b89b46, 0x9f06ddcb, 0xb0cc2ceb, 0xf61a200e, 0x049e4cf6, 0x5ea30996, 0x4db1f462, 0x1a7eda12,
+    0x295205c4, 0x99b1e4ac, 0xa6da5f8d, 0xf8296b76, 0x56804fc0, 0xe737f29b, 0xd1dfb29e, 0xc4324cb9,
+    0x2672cafd, 0x02dfdcec, 0x92e5fdd8, 0x6d6aaafa, 0x21b037da, 0x30ba56fb, 0xbd228061, 0x7f2198eb,
+    0xc25c4b72, 0x357562e8, 0xfeee4689, 0xd037d06f, 0x60704a42, 0x960b86ab, 0x5beba6ca, 0x5a6f0722,
+    0xfd327bf9, 0x93557075, 0x75dc5e1a, 0x2f98a2fa, 0x228947ab, 0x55a7598c, 0xfec15423, 0x5bb4e726,
+    0x36178514, 0x82d04619, 0xf2f5092c, 0xcc3147fd, 0x84279d1a, 0x6dd6644a, 0x898ce54f, 0x580d8f18,
+    0x704af6bd, 0xcc57091d, 0xe44b41b8, 0xeb63dbdc, 0x2fe80b94, 0xd9344fc0, 0xcd561b98, 0x1840951b,
+    0xcd403363, 0xe3ffbd65, 0x0342ff31, 0xa711e1c9, 0xa673c2cd, 0x56dad0c5, 0x20db626b, 0xd7ba4698,
+    0xa71821c2, 0xab510947, 0x664ebd7e, 0x56cbbda7, 0x762fd644, 0x8c95c640, 0x1a43451d, 0x96c5fe80,
+    0x03876414, 0xfd9ef602, 0xac456796, 0x68b44963, 0x92da362b, 0xf498209c, 0x0f59fd33, 0x0642ae41,
+    0x9ef0ad62, 0x44401415, 0xfbc9ea5e, 0x6e7904e6, 0x947b25d2, 0x4911afb6, 0x2079ad7b, 0x00a0e147,
+    0x4965490b, 0x4528ecb7, 0x74f5a425, 0xf2e1e50a, 0x6140adbd, 0x603413d5, 0x5a94a566, 0xf4ca7d92,
+    0x2593f72e, 0x3556a823, 0xdb1f28a8, 0x05cd1839, 0xcd8b2e3f, 0x1c842cf4, 0xa6e115ea, 0x2b7b113e,
+    0xe4a28bf9, 0xf920a2b9, 0x0032c60d, 0x47502eeb, 0x7b47a008, 0xc3e70968, 0x53df94d1, 0xfacfe993,
+    0x2a7bfcca, 0x76b84473, 0xdc4f9161, 0x3ac21348, 0x55385c74, 0xc061ae16, 0x6d69704b, 0xd7f96c7a,
+    0xdf9daae3, 0x7b9c36ec, 0x521cc8c6, 0x85740ca0, 0x3894edef, 0xbcc339da, 0xc396d1af, 0xc8d3e682,
+    0x844d0dc8, 0xa3b699f9, 0xfee33da3, 0xe8902a72, 0x2c8cf5de, 0x02451d06, 0xd00c42ca, 0x35a8fa09,
+    0xc549e25b, 0x67e7dae3, 0x59ba006c, 0xb37431bf, 0x358aaf2b, 0x7aed9e22, 0x0a790b0e, 0xd1673554,
+    0x5c7595fb, 0xe3a25990, 0xd73d5566, 0xf3844b05, 0xde314c01, 0xa6a09193, 0x43502c10, 0x537334c9,
+    0x9d16c90c, 0x21dc5a83, 0x0aa5230b, 0x32fd14f9, 0xc8c0deac, 0xf901c2a6, 0x582fb187, 0xf217bd5c,
+    0x2775163b, 0x0ee51e8e, 0xe8ef626b, 0x3a461d90, 0x107c73ef, 0x431c049e, 0xb088c27f, 0x443972d5,
+    0xc3799f88, 0x673ca515, 0x472950d1, 0x7261b00c, 0x92fba8e7, 0x89c87ea8, 0x2ea90c3b, 0x8d01ca8f,
+    0x0e7cc6e4, 0xf389e866, 0x3eda4270, 0x84a7bf9f, 0xa5ea6810, 0xac0d8ccc, 0x45caef3f, 0x7621d5ad,
+    0x86c3eade, 0x721683ff, 0xbef0cb3a, 0xc0a5e3df, 0x9618014e, 0x2678482f, 0xa58ff2d4, 0x341226a6,
+    0x012ac206, 0xad5c39b5, 0x50f9a2f2, 0x5a396baa, 0x702a0506, 0x7f3829d7, 0x0b2c6bc3, 0x32982bfe,
+    0xe7ed1a43, 0x7a961be1, 0xa4bef397, 0x5dc6fe83, 0x0f3571f7, 0xd6745b56, 0xe5c83867, 0xeafb276e,
+    0x1a14d0d4, 0xd7484e4a, 0xae83a38c, 0xb5d49ab7, 0xd85da6b3, 0xc3e4e146, 0xef3fbf02, 0x449a3a33,
+    0xb3c0321d, 0x95d2fd77, 0x9f711f6a, 0x02178418, 0x55a70376, 0xce9760aa, 0x16489648, 0x2af4313e,
+    0xdec097f4, 0xb200e0ac, 0xebda396f, 0xe957a50d, 0x22cf83b6, 0xad897deb, 0xd89959df, 0xfe994bde,
+    0x71c545f6, 0x64858219, 0xcf6c7af0, 0x7d1e1349, 0xc3192486, 0x93b6f84d, 0xe6a4a3b2, 0xf8ff1600,
+    0x8963d125, 0x4e21d5ac, 0xa2f98816, 0x9095e459, 0xc5c8aa43, 0xb21407fa, 0x2ad66196, 0x7bbbd1bd,
+    0x0b6c95c2, 0xc35ae21a, 0xfc9ded05, 0xf34ab525, 0x9b70af71, 0x917519a6, 0x919c356f, 0x80fc5a5b,
+    0x8a4d1a47, 0x57f748b3, 0x00137ff2, 0x0a0439a4, 0xd7527d40, 0xcacb3c4d, 0xb87b107b, 0x0e4db37e,
+    0xfb12a144, 0x97307f70, 0x37e8d17f, 0xef4bf760, 0xf0b20027, 0xdfd95cd9, 0xcb53287d, 0xb030b8b7,
+    0xc4d17a15, 0x606c220f, 0x0270bd8e, 0x74c8be35, 0x78940ac8, 0xde694132, 0xd17f3baa, 0x7bc4d2c3,
+    0x6d5ccb47, 0x6e4aade0, 0x97b5a664, 0xd1047ce3, 0x50620dac, 0x385d70cd, 0x6048edf5, 0x6917c889,
+    0xbe979841, 0xf9b43762, 0x9072350b, 0xc58091a4, 0x8bc2bfce, 0xa609b5db, 0x6a5cecba, 0x78b6e7e8,
+    0x9ab1e56b, 0x499f8e27, 0x933d4630, 0x0fdc316a, 0x6d7e3872, 0xcb05eace, 0x9e0aefe5, 0xea6e396c,
+    0x8efbc7be, 0x06b28699, 0xa8238afe, 0x77daddad, 0x75d15380, 0x27485686, 0x805d7e0f, 0x1a010392,
+    0x29e73eca, 0x4336c60d, 0x118655ef, 0x4074e877, 0xf551d9ef, 0xb6e023ab, 0xfdb14542, 0x0997cfda,
+    0x40d5c031, 0x48123c71, 0x3f6eb2fc, 0x93f3e70b, 0xcfc1e24e, 0xb12d5e23, 0xb7cb6f59, 0xbe27bdbb,
+    0x13844f0d, 0xfab36108, 0x3a126b89, 0xcfc8b5cc, 0x217e1246, 0x702db294, 0x911d6cb2, 0xa0a0c991,
+    0x9b30a95e, 0xd6468b4e, 0xb907b90a, 0x15138ceb, 0xfca83d96, 0x93f126e9, 0x2684defa, 0x839cbf5b,
+    0xf32d6e06, 0xddc98d4b, 0x55a2c0ee, 0x56240d0c, 0x9dc5f68f, 0x4cedc02e, 0xafc6ff8b, 0x073a7ab2,
+    0xca197d81, 0x26b7fbbe, 0xf0fb32b8, 0xc02e8409, 0x6cb47cc4, 0x8b279513, 0x507384d8, 0xbf576312,
+    0xd2ee9200, 0x9d6c3f89, 0xd023f769, 0xe9f960f2, 0x0d070239, 0x6d6b096f, 0xe5918f01, 0x6ee7a60d,
+    0xffc456e5, 0x2a38ce13, 0xeacb5aff, 0x51c9aeb8, 0x5d71d3e3, 0xde1ecfaa, 0x2d8269c1, 0x58e5fc0f,
+    0x90885aaa, 0x8f9a1a22, 0x7b6ac9e4, 0x500f5d7a, 0x62ec67ee, 0xca7a63c1, 0x942c73c6, 0x94388151,
+    0x345bd2fd, 0x77539a61, 0xb1a38378, 0x16b83587, 0x41a31811, 0x83753667, 0x1ecc537f, 0xff567fcc,
+    0xe3dd96c6, 0x26365dcb, 0x0de03ce9, 0xb68e3666, 0xe520569c, 0x56a256ab, 0x0b0433f8, 0xfc59d74a,
+    0x85791ce8, 0x553e28cd, 0x92da9503, 0x54b28d1a, 0x6932d72e, 0x8f51b71b, 0x0cd1d47a, 0x9a7ed0a4,
+    0xba2aae63, 0x74f8d7e5, 0x45a70db4, 0x243a1b8c, 0xaa06e985, 0x6f7faca3, 0x7ef71272, 0x0bbc9ab5,
+    0xcd60a720, 0x1c95864f, 0x0e47a67b, 0x6f942875, 0xf278534f, 0xd299da7d, 0x85d8ec2b, 0x1e327e5a,
+    0x7625fe7f, 0xdae5f92f, 0xe8838dc1, 0xa01beeca, 0x4a006a51, 0x9f4046fa, 0x81834f6a, 0x9ac2ee0c,
+    0xd0189307, 0x24a5b417, 0xbf5b52f7, 0x99c0a59d, 0x80f99559, 0x21a38740, 0x41579e2d, 0xfd2e33cc,
+    0xc00f9741, 0x8550d969, 0xca5bd0f0, 0x552635c7, 0x60fabf93, 0x3819772a, 0x508f1ac4, 0xf41a0199,
+    0x8057a094, 0x4340d412, 0x5efa7761, 0x0e211648, 0x26bbabf7, 0xfcae77b0, 0x73305156, 0x9130da5b,
+    0xee3385e1, 0x5c411267, 0xbea49339, 0xabfe9099, 0xd73dafd4, 0x81019830, 0x3b77ff8c, 0xfddd10eb,
+    0xf8432aa4, 0x0f175515, 0x8929e82d, 0x0ac2d691, 0x8c39579c, 0x7f37f306, 0x2ef7083c, 0x62b4c60d,
+    0xbc61434a, 0xaafa0050, 0x7cc26cfb, 0x90c26375, 0xe06332d2, 0x269112b4, 0x1ca34a4b, 0x1942db82,
+    0xf3dd99ba, 0x9775edd6, 0xd000821a, 0x1819a2c2, 0xd8c97368, 0xe74ad6fe, 0x61769763, 0x0de146f9,
+    0xe4dc230c, 0x1487a31d, 0xe29f1b0f, 0xd2ffb10e, 0x93a8fbdb, 0xdcfeff45, 0x15fc8c7c, 0x0a43145b,
+    0x897d1985, 0xd43c40fd, 0xd1380a98, 0xac56d21a, 0x5d297b92, 0xb39ee7a4, 0x9a42afc8, 0xdca2f81a,
+    0x122a9a6c, 0x0ce230aa, 0xbf39069a, 0xc6bd99a1, 0x15d70ef0, 0x1951ca2a, 0x6648a90d, 0x840495f0,
+    0x1fb0af13, 0x17f57403, 0xdc22c319, 0x23ebf35b, 0x334dc2c7, 0x38a5a909, 0x68915994, 0xa3187911,
+    0x60649b46, 0x30f2e174, 0x66d14823, 0x119ff50a, 0x2a62a093, 0x23793490, 0x5d7b28dd, 0xa92bda8f,
+    0x618b7a56, 0x3e026a5d, 0xeb99afd4, 0x9a61247a, 0x920b6b62, 0x790b5c48, 0xe520740b, 0x62b1a70a,
+    0xfa65d0d3, 0xb8074bc5, 0xd39c1d13, 0x7b4dc5dc, 0x6e1f45f8, 0xe5f2472a, 0x58daa9b7, 0xb7e59fa4,
+    0x4bcb485f, 0xf4257075, 0x77ef7104, 0xfb9342cf, 0xbc8fabed, 0x76bd6e16, 0xd7e74363, 0xfff55e95,
+    0xd4b555f5, 0xaff9bae2, 0x2777b3f2, 0x4f8bd038, 0x55e62a80, 0xf6f64ddb, 0x9fd16504, 0x5e6747eb,
+    0xe12a6dc5, 0x6c00cc09, 0xb88fc50f, 0x20329027, 0x5958c223, 0xdb8f8f14, 0x57d1f6af, 0x3dd2d36f,
+    0xe2654e62, 0x5a6283ff, 0x1870aeb0, 0xa33e9810, 0x5bf1b982, 0xf9aa5b37, 0xf1e4d934, 0x1f5028f0,
+    0xcc71ce7f, 0x07a4d683, 0xc546bdf0, 0x425c3b37, 0xb9ff1d6f, 0xd65531e3, 0x13d0d64d, 0x8f8c2aa4,
+    0x0e26f6ef, 0x205f8454, 0x2eff19f5, 0x87c446e9, 0xa5bda4c8, 0x750c7cfc, 0xe1f29bae, 0xa83d9264,
+    0xb3911d77, 0x914a5595, 0x49870d48, 0x32e5dfdd, 0x7d1bcc4a, 0xb652ef58, 0xe6d59e02, 0xe5344d84,
+    0x219a1541, 0x8587eb28, 0xf8115178, 0x3b3abfd7, 0x4e4b5b2c, 0xdcfb07eb, 0x8e612426, 0xebe1476c,
+    0xca7191a1, 0xd8b1d603, 0x0f368af7, 0x19151481, 0x5858fd84, 0xcbec4722, 0x07776082, 0x838f7d15,
+    0x4647ad43, 0x30a0d980, 0xebd344eb, 0x03f54cff, 0x2687b00f, 0x8ac0791e, 0x02fe65b3, 0xb5c61f78,
+    0x994176c1, 0x49da0bf9, 0x9247b242, 0x23f420eb, 0xd18ffefc, 0xfb3e531a, 0x7b8f5879, 0x39f1b8d2,
+    0x1c98a24d, 0x65e354b6, 0x7aca1284, 0xff42d65c, 0x5b3be524, 0x85094df4, 0x6f1f3d4b, 0x39dd5bfb,
+    0xc5459072, 0xad16f290, 0xf248f0de, 0xaa526543, 0xc44ee08e, 0x4ad475b9, 0x753cf9ca, 0x9fd0b59e,
+    0x7702cc75, 0x12072436, 0x5a583886, 0xbee992a0, 0x006a2b38, 0xbb9eff44, 0xa9bfb446, 0x5a43318d,
+    0x6f6bd867, 0x230ec45f, 0xa03aacc1, 0xae5449dc, 0x14a7b657, 0x9e93a02d, 0x443f10a4, 0xd47ab438,
+    0xe68bea43, 0x33ed64fd, 0x72ecb270, 0x96f16d4e, 0xf44803ad, 0xc75c893e, 0x76b05be5, 0x4a95db8a,
+    0xcf7d0847, 0x610b709b, 0x473e99e4, 0x484e7035, 0xf3e0d746, 0x22f3a3f1, 0xee8d7a7f, 0xf906227d,
+    0xdabe7b07, 0xb8ab56e0, 0x8145630b, 0x70a788a5, 0xa898a05a, 0xcaadc3a1, 0xc5cca734, 0xe47a87e9,
+    0x6476081d, 0xb56f252a, 0xd826140c, 0xeffd1e04, 0x960d57f6, 0x3ce118c0, 0x5b9673ec, 0xa94e2988,
+    0xf8835d83, 0x0f9d5c93, 0xbd209910, 0xa146f478, 0xe089e81a, 0xcdafabed, 0x7da9d648, 0xbfeba3bc,
+    0xa3af5c6d, 0xc9258750, 0x7cd7c0d2, 0x36f060c9, 0x17b188db, 0x46039f14, 0xe73235fc, 0x2a2aebbf,
+    0x297dab40, 0x8e92c1b6, 0xd9a61d66, 0xe7bb81e9, 0xbad3146c, 0x7fadceaf, 0x081c9fb3, 0x3745da89,
+    0x8add73e2, 0x851b0064, 0x26a26df5, 0xb71d78aa, 0x04511b65, 0x57e48307, 0xe4045865, 0xc30ce73b,
+    0x1c10b280, 0x7ce1e487, 0x41b16ff8, 0xa426cf7e, 0x5451c76f, 0x21101bd2, 0x947583f0, 0x3c568227,
+    0x018d5588, 0x8690185f, 0xa9635c91, 0x36a46244, 0x4427349c, 0x30a22e68, 0x19104666, 0x0c43cc08,
+    0x7c5f626a, 0xda98d25e, 0x15f572e1, 0x05099e92, 0x6a2eb14b, 0xc63b8629, 0x876c9cab, 0x2098f525,
+    0x383cb97f, 0x97cd4d6b, 0x57624593, 0x8d6628d8, 0xef7697f7, 0x711b7a09, 0xd30a658b, 0xf55087eb,
+    0x84b9378d, 0x6a691aca, 0x8afcac25, 0xf71f5aad, 0x3728bb68, 0x07b80b7d, 0x45d684b8, 0x80b3f4f0,
+    0xdcfe48cd, 0xafbef02b, 0xf5f7fc93, 0x55eed5bc, 0x047452bc, 0xb9827727, 0x362b2182, 0xd23c1696,
+    0x51ecb1f3, 0x603bfb1c, 0xe69d0283, 0x0e6713c3, 0x8a57a2e9, 0xcf081065, 0x60261a43, 0x2e60917c,
+    0x8d5652f4, 0x721104f1, 0xd9899213, 0xf8eca4c8, 0x4262a4ee, 0xa71ca1d7, 0xb7608d2f, 0xc1e2fee3,
+    0x4f5f1c85, 0x2510636f, 0xd3da7699, 0x6ddf0d7e, 0x52dd26d5, 0xe9e8a582, 0xf551bcf6, 0xf475321b,
+    0x9d309ce0, 0x7a5f633e, 0xc5014250, 0x9c427d32, 0x14230cdc, 0xe960a537, 0x551309a3, 0xdb6927fa,
+    0x3a1c7c8c, 0xbad929c8, 0x77ee9957, 0x3f954735, 0x03ef28fc, 0x9cc31e88, 0x30599ace, 0x28c75241,
+    0x9889561f, 0xe0772195, 0x2fade454, 0x9b2ab0a8, 0x718460c9, 0x175b0d60, 0xc80c02e0, 0x81148f8c,
+    0xf4a1e26c, 0xe70ad2dd, 0x9b9eee57, 0x7e2d187b, 0x4f012253, 0x20ef4f05, 0xeffd0ef8, 0x55636405,
+    0x9a5ca8b0, 0xfca97eff, 0x6718679b, 0x5c737630, 0xe7276955, 0xceb9667d, 0x9430c7f6, 0x48b59e7a,
+    0x4eafac8a, 0x7564acad, 0x5458e64d, 0x369a9327, 0x6568edf1, 0xaba418bc, 0x84325cec, 0x2e59dcb3,
+    0x78915796, 0xb5a0be2d, 0x499c02f9, 0xc6dbe0a1, 0x6f5709cd, 0x15b3eaf6, 0x7fc12721, 0xeab399c8,
+    0xdc577f19, 0xbbb361b7, 0x7c0bf965, 0x96b444bd, 0x9771b1ed, 0xe381245d, 0xab5f97a3, 0x9f1ad93f,
+    0x9e4daaac, 0x782fc598, 0xfb309d17, 0xa4647036, 0x8da5f22c, 0x852b08e9, 0xef54511a, 0x1018aaf9,
+    0xac588d86, 0x7aaa2c85, 0xacd4f91e, 0x2eaecf6d, 0xe5402fb3, 0x92a25835, 0xa1c2ea84, 0x703b2bb2,
+    0x5a965733, 0x4553b12b, 0xe45dcc87, 0x74438ef6, 0xafe1730a, 0x80034637, 0xd7698338, 0xe8b40fa7,
+    0x0a12252f, 0x0881d820, 0x7b20ae67, 0x8e05cf29, 0x34fb63fb, 0x39869fbc, 0x62b2cc1e, 0x3493bbac,
+    0xaedba7d1, 0x828a7a5c, 0x90aaa10a, 0x11225b69, 0x3338283a, 0x00f6fa9c, 0x8328871c, 0x271b646d,
+    0x2e871409, 0x7c076f7f, 0xeae262b8, 0x074c0beb, 0x90af7a1a, 0xf487ef70, 0x4eef87ae, 0xd5eed844,
+    0xf12fa117, 0xcc312553, 0xd835a271, 0x1e7b91e4, 0x00f1897a, 0x45dbf8cb, 0xecd05485, 0xa4543737,
+    0x224df38e, 0xaa40610e, 0xae016f63, 0x5b643f17, 0xe055f686, 0x949b41b0, 0x5a727426, 0xd3de35a5,
+    0xb4854ae0, 0xae1ffddd, 0xf19ae814, 0x8c4ea9ac, 0xa9db6f2f, 0xe7c9d293, 0xebecdb28, 0xaa1e4369,
+    0xe114fc0c, 0xdc7ab629, 0x7cfd24de, 0x466bffee, 0x14b6c273, 0xe6f14409, 0x77693ab6, 0xee0bab89,
+    0x40d9a50a, 0xa561ec21, 0x156d1f27, 0xc7dc238f, 0x7a267ee3, 0xbb5d9329, 0xb136ddd0, 0x15c0725e,
+    0x52aacf1a, 0xba247969, 0x42f54352, 0x8ef77605, 0xb0854cf3, 0x3fd64465, 0xd6ff0f53, 0x0923d76c,
+    0x954c5c2b, 0xdfc904fe, 0x78cd5f4c, 0x3c06601d, 0x5252b086, 0x9d139aa4, 0x445b06ea, 0xd9f64228,
+    0xe9e9bb45, 0x9811073e, 0x5fb5e838, 0x05404c5a, 0x5279addd, 0xf7817db4, 0xaa34480d, 0xa7df561a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000004973232364\
+                          09786642155382248146820840100456150797347717440463976893159497012533375533056 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68,
+    0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fe, 0xfa30f4c5, 0xf335e041,
+    0x00000000,
+    0xd9cfa2eb, 0x405e8438, 0x0c0adb0a, 0x70e7e903, 0xad3dfd80, 0x687a3938, 0x5b73b3a5, 0xae3e34ba,
+    0x2255f0de, 0x18a0850a, 0x56cb85c8, 0x14517811, 0x1befe336, 0x40ef1c8d, 0xbeb34be3, 0x618215c9,
+    0x2019535f, 0xdfc56f4f, 0x5c6bc91d, 0xcb348dac, 0x1ad74566, 0xf7b1aef2, 0xc1a97de0, 0x9b6a70c5,
+    0x3b68606b, 0xafd98a02, 0xe48a7f11, 0xfeaf0526, 0x397b561e, 0x58776743, 0xa86140de, 0x5fdbe205,
+    0x584e2cbb, 0xb687ba11, 0xab12ea67, 0x2ec5b46a, 0x9fc4b603, 0xf2bc0657, 0xea04560c, 0xd42c0af7,
+    0xf47cbee9, 0x225f03b4, 0xb95f068d, 0x386319f6, 0xe2c47072, 0xfaf5bdd6, 0x73c07613, 0x33970dfd,
+    0x91e52b5f, 0x1cb53794, 0x938725ee, 0x1ab88b98, 0x6f8747aa, 0x1866da25, 0x5b536b8c, 0x8fe97a9b,
+    0x056dd6c2, 0xd41aa11c, 0xf9c7a84c, 0x8d1af1a4, 0xb8e35255, 0x40f230d7, 0x52409430, 0x90ffce83,
+    0xf7d95757, 0x0326f649, 0x58359545, 0x31106fca, 0x6316ad2d, 0x5af08a0a, 0x3282894e, 0x67d4d9be,
+    0x5bb59934, 0x7ad504f2, 0x61dab8dd, 0xf4e06270, 0xd23afbe5, 0x70fff0d9, 0x7b846dd7, 0xe31b33d1,
+    0x0d5932e6, 0x32349751, 0x15d11d00, 0x531771b2, 0x9a14472a, 0xf78b1d87, 0x33014ffc, 0x970d8007,
+    0xd712ef5d, 0xd8885aa1, 0xe7521495, 0x7c280bba, 0x001772cb, 0x808e4799, 0x0a0266e6, 0xd79070d5,
+    0x7e54b5b3, 0x8f2f0681, 0xfaf92e94, 0xcc93294d, 0xc5fea79c, 0xbb1173cb, 0x1b74e7b5, 0xe977d114,
+    0x9d72dd9e, 0xf273e4f5, 0x29001886, 0x65572cee, 0x4d1ad237, 0x5439d926, 0x60ab2745, 0xad906263,
+    0xa1813644, 0x196cf3be, 0x2858d1e2, 0x5fc3aaf6, 0xad138ff8, 0x3d9c6090, 0x3ad83ea8, 0xaa2e982f,
+    0x0026ef17, 0x91900445, 0x0e7c6ec9, 0x68d2c775, 0x0b9e87de, 0x2b26c646, 0x0dd98806, 0x0f5948f1,
+    0x70b9f663, 0x5d472fea, 0xb5c058c7, 0xd10ea390, 0x8bd547e3, 0x5ec62294, 0x769f8ba1, 0xb3f37fc9,
+    0xa68080a6, 0x7bcd0877, 0x8c010e1c, 0xc3239e96, 0x8ecb269a, 0xacf00552, 0x2dadf00f, 0xc5ba9071,
+    0x5b9e151e, 0x4d2ffbe7, 0xf2941c3c, 0xbd57651b, 0x21f2042e, 0x8f1285d0, 0xb5885d59, 0xc6539ed6,
+    0xdff15f2a, 0xf5901264, 0x61798653, 0x502b73e0, 0x058f4de2, 0xaebe216b, 0xc768e9b1, 0xf8bac5c2,
+    0x4b2412bf, 0xd68bb466, 0x4acdc9f8, 0x360b9185, 0xfaf8cc8e, 0x31bc9d89, 0x55867cfb, 0xe09204e2,
+    0x0d6cbd96, 0xcb2b09b4, 0x35ce046c, 0x0ebfe4fb, 0x03aac4a5, 0x936bb01a, 0xa3970d4d, 0xdba22233,
+    0x3f5a5a67, 0x294ca02b, 0xbc8d01fb, 0x97e26f36, 0x58a7c898, 0xe149470c, 0x57cf541c, 0xf56ae014,
+    0xa17cb3e8, 0xe5ef9586, 0x4cdb9377, 0xb39fb347, 0xb800ab3d, 0x6535f99f, 0x444aef7d, 0x8dec5649,
+    0xe969d76e, 0x9cd340be, 0x0ecc4c8e, 0xe5e84f72, 0x53c04565, 0x49e08c81, 0xb3bf6217, 0x77b25f86,
+    0x3824e8a5, 0xdd23766c, 0xbbcab4ab, 0x73793391, 0xf62f524c, 0x290bac8b, 0xd0606033, 0xb4d366c9,
+    0xf0980cd2, 0x40da2b40, 0x23f9eea3, 0x65855468, 0x9121b44b, 0x708b676e, 0xa4aaccf0, 0x1520a55f,
+    0xce02ae8a, 0x7302ff39, 0xa7fce37d, 0xc6f2ecd2, 0xc2eee89f, 0x135e8087, 0x1646c73e, 0xccc7a140,
+    0x0e1db55b, 0x52667347, 0x681b2627, 0x86757538, 0x8fc08ffb, 0x46fbad48, 0x0de48c96, 0xc71cfe03,
+    0xcd4a122a, 0xe58b98cc, 0x6122561d, 0x6a0a2da9, 0x3b2ca997, 0x61940435, 0x5cf419ad, 0x3deddc27,
+    0xb45f41cf, 0x502c0a27, 0x57c999cb, 0xf6a49b45, 0x6833f0b4, 0x91734e0e, 0x0db90187, 0x55027591,
+    0xd31dea76, 0x401b158d, 0x141d67b5, 0xe617ffb6, 0x38230bf3, 0x2ca125f6, 0x09432780, 0x9fc9ec19,
+    0x08dc32a8, 0x4e40206d, 0x283f9c49, 0x4b33c15e, 0xa9fcf2e9, 0xbf72367a, 0x58e2869b, 0x91144b9d,
+    0x47ed6f08, 0x5c55a13c, 0xa89202b5, 0xa157c878, 0xaf814a7a, 0x604dc7ac, 0x9d78e5a4, 0xefcb1b66,
+    0x2e027d17, 0x3b39e88f, 0xa6b97b3f, 0x2c97ca4a, 0xeb8480c5, 0x3107ebef, 0x1b41ec05, 0xc785709b,
+    0x3d984058, 0xf3cdf902, 0xbfaf3b6a, 0x8f36de74, 0x9f311b52, 0x5f9a9b00, 0x7a01090c, 0xd4519390,
+    0xab4b921a, 0x1c9db321, 0x37c1d04b, 0x66b3cc7b, 0x34df830b, 0xf3d2c58f, 0x3a953cb7, 0xea55c02b,
+    0x18cea9dd, 0xba57f129, 0xaf458943, 0x572125d8, 0x96f22710, 0xe364ae03, 0xaadf9ff9, 0x02c29916,
+    0xafad43a4, 0x0561530a, 0x6b1ca7e9, 0x42f43369, 0x420fb43b, 0x9a9be40f, 0xca9cce47, 0x6a8b6249,
+    0x7065d4b1, 0x02d0373e, 0xa40dddcb, 0x002d4391, 0xb8663794, 0x1a171312, 0xb83f7f05, 0x275a1ccf,
+    0xcf05491d, 0x4c58d1d8, 0xd35773ff, 0x8620fa50, 0x28a9a685, 0xb8e8f948, 0x382207bc, 0x6947a25c,
+    0x5fe3c10c, 0xbf68f577, 0x813fbbee, 0x8cfb7d91, 0xf6d25794, 0xf3878bdb, 0x29324bae, 0xe00cc753,
+    0x660fca36, 0x1af9edff, 0x8e958847, 0xa4a83c4e, 0x34af9547, 0x541ff6b8, 0x0150f51c, 0x0bc19d41,
+    0x0e880f08, 0x34e8a668, 0xf45c429a, 0xb9db0eb5, 0x27afb40e, 0x1dbc5a13, 0x59373b0e, 0x4ab6626d,
+    0x2d37f91c, 0x5089a526, 0xe5ffeb9c, 0xa76dd853, 0xae0c8ff1, 0xb1f8687a, 0x1a87e6f4, 0x8770a099,
+    0x61d8407e, 0x1508d9a6, 0x1dd2fb08, 0xf590f64d, 0x0853deb2, 0xa1aad31b, 0xfd9de394, 0xb89ed6d7,
+    0x628fdeec, 0xb1d96436, 0x4a1178aa, 0xf6d7230a, 0x20b8e0c5, 0xb50ec86f, 0xcbdf0fba, 0xac5ec7b8,
+    0xb15159ad, 0xdb4b0b87, 0x76df3763, 0x1ce07663, 0x6211187b, 0x46a7140c, 0x223e2b7e, 0x418b4672,
+    0x7ad53fe3, 0x91fb3518, 0xe755d560, 0x60fc7009, 0x479760b3, 0x35fdd5e8, 0xc0378c47, 0x9a707536,
+    0xdc178678, 0x8cf1fbce, 0xba21bb69, 0xffdfdcc4, 0x31d520dc, 0xd23970c4, 0x05b86e2a, 0xaa48de2b,
+    0xfcb57be4, 0x4c88653b, 0x35908b78, 0xe94d665f, 0x937698f2, 0x495ee679, 0x67847297, 0xc592311a,
+    0xaa2b8d2b, 0x73f6cc88, 0x4d89adb8, 0x402d02ba, 0x355c8454, 0x1f6b4422, 0x249527c1, 0x292b6dd8,
+    0x6a012286, 0x40cee79b, 0x0d4ad8cb, 0x022fbca5, 0x4d8fbfda, 0xb32a2d42, 0xe3b0fd4f, 0xa0cebfb2,
+    0x0f2e6102, 0x06e7b52e, 0x095a1b02, 0x21e6056f, 0x7b0de256, 0x0064f944, 0x0d6d8319, 0xdd77429d,
+    0xf49c3771, 0x73a4d3b8, 0x3bbd93f5, 0x42da4c8d, 0xa01a2b8a, 0x35d617f7, 0x37f6d11d, 0xcb1b1b2a,
+    0x3556f8ce, 0x74a29e9f, 0xf14e9e6e, 0x158f874b, 0x207b9adb, 0xa8563556, 0xb92a85e9, 0x6e323db8,
+    0x16b643e7, 0x044e68ce, 0xb5e260de, 0x5713d2ef, 0x1471df4d, 0x240f9b51, 0x7f615099, 0x0964a98e,
+    0x1b7f7829, 0xfbaa22fa, 0x080ea6f1, 0x7375acb5, 0xf98272d4, 0x838b6e8c, 0xbbbc2cbb, 0x3d2fa3ca,
+    0x8172a33e, 0x8f115b3f, 0x0b26708a, 0xf4a7ed39, 0xf3c6b8e5, 0x1ecf3e3e, 0x740876df, 0xa1b7213a,
+    0x471a3374, 0x8e745f3f, 0x196c1533, 0xd73a6981, 0x8bcc2414, 0xd6c01695, 0x1446e218, 0x91a28f4f,
+    0x26556492, 0xa53fb4d8, 0x5fe4da8b, 0x47940e58, 0x1d5a728a, 0xad2e1cf2, 0x1bed0193, 0x4fe9845d,
+    0xef5224c4, 0xd9d06024, 0x2b4f4f93, 0xe02a37ba, 0xb82c6237, 0x012b2bda, 0xe875ec85, 0x21354963,
+    0x0b7a8c01, 0x48e05244, 0x27c48669, 0xf0f8b3a3, 0x4d442dfd, 0x85dad34b, 0x1b8a5211, 0x1494bbba,
+    0xd7699575, 0x377b1456, 0x5581f1ce, 0xc42f0d3a, 0xbc8140a1, 0xe31c40e1, 0x4878817b, 0x6816887e,
+    0x08ac1cf2, 0x70ffd5cf, 0xa4e28bb0, 0x8d07fc25, 0x217168b4, 0x3ebbc6fd, 0xf5501a87, 0x373e6c17,
+    0xb5e2b4d4, 0xb9b575e4, 0x6132efc4, 0x3d741c5a, 0x47e6ef23, 0xf10fcf10, 0x38b26525, 0x7466b6d7,
+    0xe9dc73a7, 0x7451c0e0, 0x658eabbe, 0x88bcf72d, 0x8c6a5145, 0x2fb2ace4, 0x07e2cab8, 0x38276208,
+    0xe01c0490, 0x2a732894, 0xb33732ec, 0x3d21594d, 0x8233599b, 0x4900d71c, 0xf9adf335, 0xc98f9ff7,
+    0xa18066c5, 0xa6c4c415, 0xb8e7ceda, 0xbcd2f86b, 0xddbb4874, 0x0f896811, 0x610cd391, 0x8103f984,
+    0x446be591, 0x5386db64, 0xf4ed6f87, 0xb0e334d1, 0xc9a3da06, 0xb71cb704, 0x2e58bb3f, 0xf8735eff,
+    0x241dfeb8, 0x2079d5bd, 0xc9af7bfa, 0x3e8fc06e, 0x0a4282f7, 0x024cdd07, 0xd8286c4d, 0x2165f67d,
+    0xe7b9bed1, 0xb9560d0d, 0xc7ddd77c, 0x6ec5d84f, 0x63d23da1, 0x29e698b1, 0xaf21abb0, 0x1543602b,
+    0x29ffc0a8, 0x12810e4b, 0x6af9fa83, 0xc200c21d, 0xe2117e3c, 0x792173a1, 0xc9ed04d9, 0x8aa439d8,
+    0x8d5c93d8, 0xf9d2049d, 0xb67252ae, 0xa1846426, 0x5e5cef52, 0xeb75af69, 0x44e17786, 0x0ccbc229,
+    0xd93dc455, 0x446335f1, 0xdbc7d6f5, 0x4db9d226, 0xb08f302c, 0x0c619d7e, 0xf564a1c4, 0x1d1a6e78,
+    0xab6816c9, 0x62fa84f6, 0xd4713c96, 0x50df7879, 0x6cf70519, 0xd2227384, 0xa7f42d8f, 0x4b7621ca,
+    0x28a50859, 0x87a9045d, 0x34deda58, 0x3aa21f8f, 0x14860f30, 0x00d1aed7, 0x87848853, 0xeff281af,
+    0xcb0008e8, 0x22718c39, 0x3612e815, 0x25c1253a, 0xe4e64cb4, 0xbe0dd8b7, 0x4ff225a5, 0xf0ad6b14,
+    0x6e83795a, 0x7088ed49, 0x0d864e9d, 0xbb25f360, 0x65c2cd7a, 0x06ac4d5e, 0x2036d6a4, 0x97f010c1,
+    0x6c555218, 0xe29fc9ff, 0x4cf617e5, 0x5c3619e4, 0x633eacfc, 0xcd058606, 0xbecbb20b, 0xb52ea987,
+    0x3f1ffc8a, 0x01fe86b1, 0xdaf9e9f5, 0x73541f20, 0xa3ee60dd, 0x68f3294a, 0x64aca000, 0x3a707f0a,
+    0x0611a09b, 0x3cc4adcf, 0x832af6c1, 0xd83be6c2, 0x0863b781, 0xa5657835, 0xae7b6472, 0x16de3e35,
+    0x27eae36f, 0x705c87fc, 0xa0a7ebdf, 0x64f9032b, 0x02b3595d, 0xe197ec6e, 0xcb9f0f78, 0xc1710221,
+    0x9905e458, 0x07ccfcea, 0x9310ee61, 0xdea32f26, 0x447ac6f5, 0x45a5e11c, 0xe6402ec9, 0xfe07f6af,
+    0x64fc4cdb, 0xcf0d0ab0, 0x0ce259ef, 0xbc8a319f, 0x8723cc2a, 0x739a4264, 0xaeab5c04, 0x58655f66,
+    0x2168b704, 0x22d7a3c5, 0x802d9f35, 0x88435076, 0x6739e8dc, 0xedd4a12e, 0x235ea16a, 0x8be4ce56,
+    0x0e1c0773, 0x44f10d3f, 0x79c1c3bc, 0xd9c680c6, 0x80e642b8, 0x8aa0ab3b, 0x77d186a8, 0x0164d56a,
+    0x97e57a62, 0x6da8ded2, 0x48cf4f85, 0x63c2988d, 0x72b8ebc4, 0x3ffc9fda, 0xc5d3b25c, 0xda87c199,
+    0x671be2df, 0x2ad499e1, 0x0703cdac, 0xd491b3e1, 0x3a81efd5, 0x47a1a75c, 0xd8127c75, 0x2212eab4,
+    0x1b394bcb, 0x5ccc74a5, 0x59392215, 0xa4c6858e, 0x4dd4f6de, 0x70463cfa, 0x7c4d8835, 0xc39634c6,
+    0x144a4af3, 0xaa8fcfe7, 0x32ffd320, 0x1224236b, 0x7b3cd4bd, 0x250a6232, 0xe7a4b268, 0xbd638087,
+    0xca915fae, 0x659e6dae, 0x61112df8, 0x9fc43e10, 0x26131fe4, 0xb2bd2110, 0xf45e7625, 0xffc75d32,
+    0xe2795414, 0xe7c34bea, 0x243e6729, 0xdae0c1a2, 0xb6eec056, 0xcf2f8d97, 0x40092beb, 0x920c5a54,
+    0x8a6ec29c, 0xed9f6ed9, 0x54adfe91, 0xe169b60c, 0xd6f49dcd, 0xb2758777, 0xaf684026, 0x1b499f38,
+    0x73e68f8e, 0x784697dd, 0xdf55a0bd, 0x95c1493c, 0x8e62abd3, 0xb0135cf0, 0x66c439ed, 0xbf40402a,
+    0x009cf703, 0x6f896d3a, 0xb5ddb622, 0xe3a6bc9d, 0x88e4eca8, 0x9947de78, 0xae9ca708, 0xfcd6822e,
+    0x845dc62b, 0x067023bf, 0xa5f02705, 0x1cbffec5, 0x857923ac, 0x295e326d, 0xa6496788, 0xf5231fa3,
+    0xb9f5ffe8, 0x3fc986bc, 0x030635f8, 0x8008c3cc, 0x134da58a, 0x002f2104, 0x38d1227a, 0x7ea76288,
+    0xe5552a35, 0xe5ff8fe0, 0x8892ae42, 0xc6475f55, 0x58c7bdc9, 0x66967386, 0xa23df500, 0x9f55f710,
+    0xd9bf9cec, 0x1385ca99, 0x5890d704, 0xd2d9714e, 0x2cedd22c, 0x9458c8ae, 0x67ecd821, 0x1bf76055,
+    0xc4fb0001, 0x475117eb, 0x96965e14, 0x1ae2a077, 0xbf951712, 0x2c4cd1b8, 0xf3d17ae2, 0x96e64e93,
+    0xbe92b95c, 0x81a3e4ff, 0xb935338d, 0x64ef4acc, 0xcc4d05c5, 0xaff19527, 0xd8686192, 0x3c527b62,
+    0xf3e48134, 0x191c6191, 0x73dc36aa, 0xeb889a13, 0x6dc1950e, 0xe144d4f9, 0x8a50b168, 0xfdfe6336,
+    0xc6c04f87, 0x6dc2e752, 0xd8e688ea, 0xb63ec62d, 0x8e047c54, 0xece379f7, 0xc0e924b0, 0x6a792832,
+    0x4dd4f6f2, 0xabfbd90c, 0x05ed1dad, 0x6cf4199e, 0xde867206, 0x5a54b6d2, 0xe64d1e19, 0x9cf3bb85,
+    0x339fd677, 0xb63923de, 0xbe5a1227, 0x651a0d46, 0xef612a71, 0x379904e0, 0x907c9529, 0x47f85184,
+    0x75bc53ab, 0x5157a46e, 0x2b7ceeb9, 0xa5994020, 0xee178d93, 0xe3a1fbf5, 0xa5e791ac, 0x78deff3f,
+    0x35fbb768, 0xb1fd5e87, 0xa3b7b2e0, 0xafb305a4, 0x89d54a41, 0x66b0d0be, 0x0bfe10c1, 0xec638a53,
+    0x5dd17142, 0x94683ab4, 0xd3a3e1af, 0x10bb552e, 0xf4816346, 0xb3368ace, 0xedc63b15, 0xb44119c2,
+    0xe6c2d79c, 0xbbc30dc7, 0x55f165d9, 0xa7ce45dd, 0x39aa0e2a, 0x08a810b2, 0xa7c2933c, 0xb6fd9d9b,
+    0xd1a23055, 0x96e9d930, 0xafe6aaf5, 0x01a36af0, 0xbb44b64f, 0x726dea03, 0x48ba709b, 0xf64cb40d,
+    0x7df7c39c, 0x88e7e251, 0x1eda18b9, 0x3be3bdbe, 0x28a274fb, 0xa20da514, 0x587033d2, 0x3b041ca3,
+    0x8a88b5a5, 0x96494692, 0x8bca824e, 0x4a96104f, 0x43ba6628, 0x72a33b6e, 0xba9769ac, 0xc50b09fc,
+    0xbd3ec01d, 0x344800f2, 0x2300d0dd, 0x0e1ae024, 0x2fb5688d, 0x0b293dda, 0x3335f29e, 0x7c87718b,
+    0x9f3c565e, 0x1a276494, 0x63a4fb9c, 0x1897ae75, 0x401494d9, 0x42c45d1b, 0x3940c02f, 0x7127fc56,
+    0x005e4b19, 0x5e69fe46, 0x550e83d8, 0x465aca0f, 0x7605e3c8, 0xab085e0c, 0xd1ea3557, 0x861817df,
+    0xa6a60350, 0x95c51044, 0x4210f5d1, 0xe42898c4, 0xa3dfdb8c, 0x3905e067, 0xdd519712, 0x7f5847b7,
+    0x6a7a3cbc, 0x71522f72, 0xef6eceeb, 0xfa19be75, 0x7f59c1d5, 0xfaa14ee6, 0xc2df1b6f, 0x859d8bcd,
+    0xced6799a, 0xe9734372, 0xe6329d6d, 0x33936f9c, 0xd01025cd, 0xade373ad, 0x6a5a31be, 0x5bb48e2a,
+    0x0113b07d, 0xbb4fb9db, 0x4fa2696c, 0x250a2e4e, 0x5feaeb45, 0x8403fbf3, 0x3458cf9d, 0x2d7f3d97,
+    0x55ae87e5, 0x8c91ee9c, 0x5d41bf23, 0x98c3ad69, 0xb2d3ed9c, 0x550411b4, 0x3fb7058a, 0x00296ff4,
+    0x6b8f4e00, 0xe5e6266e, 0x3573b5ad, 0xe6bdf86c, 0xb964515a, 0xa695e7f8, 0x8dfa09b4, 0x31b5e405,
+    0x3e8d3973, 0x36418a44, 0xad1846b4, 0xafc347dc, 0xc108d06e, 0x5d23c983, 0xf8898c96, 0x96bcac2d,
+    0x966b9c29, 0xf3470d3f, 0x2fc2616c, 0x5873b339, 0xb72697f9, 0x76ae3a71, 0xa4d3586f, 0x626ca68f,
+    0x3a593c7a, 0x778ef25e, 0xf62b263c, 0x6d5e582b, 0x69cc2b63, 0x7df99d3a, 0x6f5a2a37, 0x59b2e492,
+    0xbecffa91, 0xd94a0785, 0x8953173b, 0xfc4e769c, 0x372bab84, 0x02fafd92, 0xcd67d088, 0xfadfab8d,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000002486616182\
+                          04893321077691124073410420050228075398673858720231988446579748506266687766528 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4,
+    0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537f, 0x7d187a62, 0xf99af020,
+    0x00000000,
+    0xa6f8f63d, 0x630114d5, 0xc7b1459b, 0xbe2b5df1, 0x88dcf989, 0xb2e9bff0, 0xe9e13e95, 0x8b3e03ce,
+    0x10ed059f, 0xbb7ca142, 0xf1270f51, 0xdfa9ad8c, 0x455af859, 0x5ee75def, 0x5c8f6e43, 0xa135ade5,
+    0x8e2dfea7, 0x77a0b2ea, 0xabe682af, 0x7a3da61e, 0x0a1405e8, 0x53981d26, 0x9ff8b60a, 0x4758c8f3,
+    0xdd2b9ef0, 0x4e8cabb2, 0x3055c031, 0xf4fcc416, 0xf4acf117, 0xccc57fa8, 0x9daff8f2, 0x551b9678,
+    0xaf801145, 0xdc9e5485, 0x5b459175, 0x1670830d, 0x586f5c00, 0xc5419790, 0x87c32136, 0x49e7d510,
+    0xa438bfbd, 0x8997c398, 0xedc686f2, 0xa99c95ff, 0x380b7f24, 0xb9b2484c, 0x189dab44, 0xffd9c1c8,
+    0xe072be14, 0xa47bb548, 0x6504b1aa, 0x9617e329, 0xc3a2bae4, 0x7d51fc4b, 0x642e8d12, 0x874ca786,
+    0x4c8dfa7a, 0xed0ac9df, 0xe1055cd1, 0xba3bfcc1, 0xa86ae953, 0xa36694e5, 0x5ba50460, 0xdaf20cab,
+    0x5cff4696, 0x1e6eb5af, 0x75b01a55, 0xf4dc83ff, 0x8ecb647e, 0xbaa81517, 0x37d9cf18, 0x112ea065,
+    0x8b7b51cd, 0x1601656d, 0x874e2e40, 0x26c42770, 0x5c566aa0, 0xa75ab935, 0x29f7db39, 0xc51209a5,
+    0x77a85fac, 0x281deade, 0x5ee6615b, 0x0eb5f3cb, 0x0de9b161, 0xdbd1173d, 0x1c277428, 0x9fd6206b,
+    0x29f3a131, 0xc996c501, 0xb8ac9aae, 0xa64ad004, 0x1668339d, 0xc9d3b610, 0x4957ce9f, 0x5b2fe5c3,
+    0xc935df45, 0xdb1c57ad, 0x606b1dc2, 0x5e4c1e91, 0x87623b37, 0x4eed88f3, 0x44e7ae82, 0xec9a4c73,
+    0x4754bd94, 0xdcc3760a, 0xd024c539, 0xfe7271cb, 0x6a90aa70, 0x41f4d623, 0x3d984920, 0x40539b96,
+    0x5261b683, 0x72700e8e, 0x35750699, 0x1c3ddb66, 0x077bf227, 0xa69b6569, 0x44044005, 0x473aea88,
+    0xe5afe889, 0xd4c38f6e, 0xb82c1b6b, 0xe900eecd, 0xc9c06fa5, 0xb402ef25, 0xd1f9c8f9, 0xa1504a16,
+    0x20f55dad, 0x2bc3dcdc, 0x9fa6a173, 0x17b160a7, 0x2d7bef3a, 0x6446c3b5, 0x0ccdcd55, 0x261efccb,
+    0x9699fb40, 0x0f1950eb, 0x5d5c0103, 0xa7bd64f6, 0x7e21ca55, 0x71e94ae6, 0x4e403f77, 0x5321e7db,
+    0x20de2f5d, 0xdef948f4, 0xef409555, 0xc23a675f, 0x4a662c37, 0x26b3cb67, 0xb790d555, 0x94864a37,
+    0x6cbd7c90, 0x3e747eca, 0xf9833a22, 0x6979b14c, 0xb42589f0, 0x7ccc2d6f, 0xb0376fd7, 0xb9c6ddcd,
+    0x78f29c46, 0x35289e20, 0xab51c15e, 0x3438a282, 0x5bd32952, 0x5b5654ed, 0x509acfe6, 0x625a6c43,
+    0xec8065b4, 0x30de4b9d, 0x29d511d3, 0x6fba45a1, 0x7f6e99d7, 0xeac07785, 0xe8bf48bb, 0x725760cd,
+    0xd27e2703, 0x2ab5ed0b, 0x6ad313a1, 0xcac66c37, 0x95934b71, 0x72780c0a, 0xdc8ddbcb, 0x9f9bbbf1,
+    0xe5c9beac, 0x63e0729e, 0x98ce7cde, 0x4835fd5d, 0xa7f9b6c2, 0x74582c18, 0xb167fb7d, 0x6e4c640e,
+    0xff9002cc, 0x73233e23, 0x0a0abe89, 0xc31a9c85, 0x00dfd125, 0x87221aa2, 0x40857326, 0xd007a624,
+    0x11b628df, 0xb5f1f232, 0x6b99d1f4, 0x196a6cf3, 0xc75a6b6c, 0x64be5c72, 0x9526b8d6, 0x4d8416fc,
+    0xb126fd13, 0x14ee29fd, 0xfdb47831, 0xcb8d62a9, 0x2a0ea0ce, 0x4f41b924, 0xc9e7884d, 0xbeddc01e,
+    0x4a8e74b2, 0xdba62269, 0x8fae8a15, 0x16f44961, 0x89a7017f, 0xfa0e629d, 0x0d728ac1, 0xf68f3cc4,
+    0x7e5be8f6, 0x9c239fcd, 0xc1a0b32f, 0x775bee8f, 0x84dea327, 0xcf4dad90, 0xd5d06ec5, 0x881c1a2f,
+    0x362d99fe, 0x86e9bd87, 0x42b39e27, 0x34b519cb, 0x4c067536, 0x0aa84bb5, 0x622af69c, 0x7d2d65e8,
+    0x8d225c96, 0x6508595f, 0xdc73cbf4, 0xcb49117b, 0xf9e8a10e, 0x1fbf06be, 0xa4069bcc, 0x46d324d5,
+    0xb1a8faea, 0x95dc842e, 0x42acfb0f, 0x1ca755d6, 0x27009ffe, 0x15eb1680, 0xea7c0d64, 0xa525faae,
+    0xa96d1af9, 0x01f1964d, 0x0b0b8776, 0x69be099f, 0x3557dca9, 0x5469e978, 0xd82e9b3a, 0xae9146a4,
+    0xc488e2cc, 0x270eff5f, 0xaef9cf27, 0xdb837bb7, 0xa990f7bd, 0x85c38996, 0x6a58fa4c, 0xaf590aa6,
+    0xdf993599, 0x502ad1d5, 0xec969b50, 0x4ae77977, 0x2b12f460, 0xa0739ecd, 0x042e9bb1, 0xdc81d693,
+    0xc45ee711, 0x7de5e178, 0xdf310dcc, 0xf1cb6323, 0x3acf5610, 0x1b303a90, 0x974f9eba, 0x71c035d1,
+    0x608b8bb0, 0xdbd79824, 0xf3f65617, 0x2f39ba9b, 0xb5ceb1b9, 0x8f5d54d8, 0x4ca8d83c, 0x9cf42f60,
+    0xec86c297, 0xd8ecd87c, 0x5cc1062a, 0x8dc8c777, 0xee8fac52, 0xd5703907, 0x26bf25b9, 0xee724589,
+    0x40312b1a, 0x6fcf0ae4, 0x7984b8a5, 0xb2f53351, 0x719a7cfb, 0xf8114fe3, 0x3b4af91e, 0x7aa7e92a,
+    0x9deb7045, 0x92772709, 0x366fa474, 0x8138561c, 0x5f9cd5d7, 0x48a02f77, 0x5cf45791, 0x3bfb13af,
+    0xb72a61c0, 0xf51fca03, 0x78fcf46d, 0x1913d4e3, 0x0586c187, 0xcee33dd3, 0x59d24f88, 0x282c51c5,
+    0x256c6591, 0x7de08674, 0x6d6f5fe6, 0xd1c1b448, 0x8d1785a6, 0x2d35ad40, 0xac753004, 0x0063f70a,
+    0xc341d131, 0x9fb9334b, 0xed59f160, 0xf63f02b7, 0x092e5bdb, 0x73eac1a2, 0xfc36f3ec, 0x6347e10d,
+    0xb9334650, 0xd398f4ef, 0xb58553ca, 0xe4446b69, 0xc19dfbcd, 0xada28b17, 0xdbfe43e4, 0xef141362,
+    0x2f568f08, 0xb159b167, 0x67e155e4, 0x887327c8, 0x0c6a548b, 0x620fc9aa, 0xd79a53c8, 0xd93be681,
+    0x52cfc932, 0x1dd42eeb, 0x24a43813, 0xb05b4487, 0xa66ee60c, 0x62db9395, 0x58546748, 0x0c4a11ed,
+    0xad64b63f, 0xcc8becae, 0xa6091ab8, 0x81e3fbf3, 0xc9869f9c, 0x31fe8108, 0xa8b9059a, 0x7bf029ae,
+    0xb15bd24f, 0x4dbfb0cd, 0xeaba1fb3, 0x0f91bbee, 0x60ef0df1, 0x14a4f324, 0xaf1ebf70, 0x19ee5db9,
+    0xdf5ad4c6, 0xe891a62d, 0xa8eafd42, 0x8998026e, 0x7f286903, 0xdd445b72, 0x82e7bbd6, 0xd6814b5d,
+    0x0766d3e4, 0xeaa96e19, 0x8c35e455, 0x8116f310, 0x5b004a9c, 0xe3cfef38, 0x7765debd, 0x3aac0f44,
+    0x1a9207dc, 0x1bfc663e, 0x05c0dc55, 0xad1485f7, 0xe78fad68, 0x89792244, 0xba0857f9, 0xcca038e5,
+    0xe7733b78, 0x5129c635, 0x35ff7f73, 0x6e62740a, 0x7fe45342, 0x68b38fcc, 0x82e0fcb1, 0x45b55491,
+    0xd920ca19, 0x884193a2, 0x443f3c3b, 0x3c6b8067, 0xd0c64c09, 0x6b925c42, 0x7047ad25, 0x6fff609b,
+    0xd4ca67c1, 0xe927d0c7, 0xb669caab, 0xa85f6395, 0x04b0bc15, 0x82dc817a, 0x5366e787, 0x36a1899d,
+    0x1778db68, 0x2ef02b44, 0xb41216cb, 0xd533ff39, 0x6bcbbd15, 0x2261a0a7, 0xe3b9bf16, 0xd68e3fbd,
+    0x1a3b2990, 0x2c25d4d6, 0xe1df3809, 0x93dd4810, 0xf21b725c, 0x4f43eba0, 0x1eb216b7, 0x5abf7466,
+    0x5e583e42, 0xe55e7f2b, 0x699252ad, 0x192903b2, 0x8476a012, 0xe811a2fe, 0x35a0bba8, 0x3d6c4377,
+    0x8d400861, 0x6e79e4b0, 0x8c01a27c, 0xb6cda2a4, 0x987c2a9b, 0x4c98acd8, 0xdcd54451, 0x14dfca7b,
+    0xd1cec7ca, 0x566e098b, 0x1d137e28, 0x189ba8ef, 0xc76af934, 0x56a4e580, 0x76992dba, 0x9de12db9,
+    0x09e38c83, 0xed38d15a, 0x035a8393, 0xfc58f617, 0x40be4947, 0x428031b3, 0x948dcb01, 0x5483d727,
+    0x84c73db2, 0x89fcb276, 0xdc234b1d, 0x2dd4845f, 0x4dae5fc6, 0x2eaf6991, 0x1546c736, 0xa80b0a8b,
+    0x9522b323, 0xaa6ed98c, 0xfa63098c, 0x09d83ab4, 0xf78a2197, 0x2ba52a17, 0x1ed674a5, 0x9bee8ef5,
+    0x741c615c, 0x7d8472b4, 0x50c19943, 0x3a57a137, 0x855b57d4, 0xcceb1ea3, 0x765bffe0, 0x658c1dca,
+    0xe4175df0, 0x9b0d0ae7, 0x19fbc1b0, 0x5b94e393, 0x46267b06, 0xfb25a8ad, 0xa9c2ff2f, 0xb73351b7,
+    0x6e90e136, 0x790f239f, 0x3c8131d8, 0x7d666057, 0x2ca208e7, 0x9f527263, 0x2c3aec63, 0x73d1d6ef,
+    0x221a1dea, 0x40a2d52c, 0x607e74ff, 0x7d0287ea, 0xb60d9964, 0xe04f0e1c, 0x146f1e92, 0x6441e1e7,
+    0x114b6041, 0x1bb6d41d, 0xa3d503e9, 0xa054bbb6, 0x11425e08, 0xebf7c921, 0x2c1e7f4f, 0xcebd1492,
+    0xc567f543, 0x08dbb41f, 0x461e18a0, 0x2d77d4c4, 0x6322209b, 0xd020d1ad, 0x7ca01a39, 0x2d069acf,
+    0x9a4f70b4, 0x9f3ac7b0, 0x52759028, 0x518dc87a, 0x589a08ad, 0x1de80b08, 0xd15f3664, 0x1ea6628a,
+    0x104cb865, 0xa096d1ff, 0xc0072ce1, 0x3a918d5c, 0x362c486b, 0x76fc0c41, 0xb83f8b05, 0xa30eca75,
+    0x83e83b01, 0x28c30554, 0xff2d71f8, 0xffdffe56, 0x7fec631a, 0x39eee2ea, 0x21bb56d5, 0x6564b234,
+    0xd4abf6bc, 0x85d943c1, 0x87e9b1da, 0x0307af17, 0x802c2435, 0x8382a9e4, 0x38d3f875, 0xc10b2f0e,
+    0x07cde1e1, 0xf30e5b29, 0xce753bd3, 0x8281706d, 0xb3b75f8a, 0x69ab709b, 0xcb3759bf, 0x240e7818,
+    0x7352a1f3, 0xf454526b, 0xed7fcecd, 0x70a7bab7, 0xcf56b141, 0x892f109e, 0xded584e4, 0x28b8c303,
+    0x1de0f6bb, 0x04034044, 0x6cad7eeb, 0xcdd12eda, 0x0aa160f2, 0x0a245c04, 0x76ce0107, 0x8a0d1baa,
+    0xc0e6bf51, 0x214ae316, 0x0edfbca1, 0x5a0f81e2, 0x33e43851, 0xec536fa8, 0xeee9b6dc, 0x75178d81,
+    0x608726a6, 0x1ff516c4, 0x9ce130ec, 0xd744cfde, 0x8d27042d, 0x644264ea, 0xaf8a7af2, 0x23ed9c30,
+    0x08e09821, 0x839daaa9, 0x5b1d09ab, 0x330b19f4, 0x1a4a6083, 0xa11c44ef, 0xc8d25cb6, 0x28e70e53,
+    0x84682a84, 0x3fe1f41f, 0xd7c0bf32, 0x54fce8bc, 0x68528ca1, 0xefd2ddce, 0x1fbfa627, 0x1c256e1c,
+    0xd18da5d6, 0x29a777ce, 0xf70ca452, 0xf34cf606, 0xcf84a483, 0x2941c8c1, 0xfae783ea, 0x23f8189b,
+    0xdab3a1e3, 0xb8dff11e, 0x4c3ab874, 0xb6c08898, 0xf9f2f805, 0x049b6cec, 0x6fb7361b, 0x0fbc300e,
+    0x7cd1c966, 0x83cfacb9, 0x57f06e9e, 0x48e87f1a, 0x14917f72, 0x23a7ae55, 0xa94ee52b, 0xf944736d,
+    0x2507abf2, 0x5b24aad3, 0x49bd7dd6, 0xd38fa04f, 0xac5c43f0, 0xa2817eac, 0x9987a010, 0x8b4611a5,
+    0x95461b97, 0x1bb4a23c, 0x90c0e0b2, 0x00aa24a2, 0xf8f19378, 0x05f18a8a, 0xd666618e, 0x14943649,
+    0xe81249af, 0x298fcc28, 0xd12e6feb, 0x7be39887, 0x2aa38f09, 0x92b67fc6, 0xe09bc8fc, 0xf251032a,
+    0x1958f06f, 0xad4c31f9, 0x394c4c50, 0xc81c9fce, 0xe204628d, 0xf44f7a45, 0xc1021e06, 0x9f3df6c3,
+    0xabc009ef, 0x00f8cd5c, 0xd11cf9bf, 0x484abe17, 0x5abe0491, 0x85e15b80, 0x6a686f18, 0x60e97d68,
+    0x67107fe5, 0x2481b34a, 0xd79e6c1d, 0x71181d3a, 0x5319facf, 0x3b0e62c6, 0x3f65b507, 0x095a8419,
+    0xcbd862ad, 0x2bd81319, 0x223a7374, 0xac0d6763, 0xb56a0239, 0x05a0bcbe, 0x8385b852, 0x0f076413,
+    0xd664e386, 0x01f6bf93, 0xf24e04c5, 0x55b463b5, 0x532a2210, 0xffccf6ee, 0x300e7a0b, 0xf772ed93,
+    0x017f24c8, 0x3c5d7526, 0x4728d135, 0xe830ba8f, 0x4a54be97, 0x1470b3e4, 0x02bae682, 0xbce04e10,
+    0x6aa4d15b, 0xa3959357, 0xa04329d8, 0x44d9512c, 0x3b12dd0f, 0x3052e728, 0x289fe025, 0xa79b3107,
+    0x1d1986d0, 0x8686db5c, 0x012c7b46, 0x24d9c876, 0x125af20b, 0x83d23521, 0xbf941572, 0xf7736b96,
+    0xb497f1d4, 0xd51eac9c, 0x10a251e5, 0x83bc4794, 0x92186682, 0xd13fe35f, 0x277aa025, 0x2756729c,
+    0xbe7127e3, 0x99b40207, 0xc84edfae, 0xbb051acc, 0x0b5f2d68, 0xba46bc15, 0xa718725d, 0x88db4f13,
+    0x08ee910f, 0x8ff34727, 0x26ec49be, 0xeb71222e, 0x4f97df6c, 0xb1416e26, 0x2f1d504b, 0xd192b7f2,
+    0x51315993, 0xa78c5730, 0xe45adc3f, 0x079fcb0c, 0xb5515cdd, 0xc06f6480, 0x2765d1e6, 0xc9f9d073,
+    0xfeab990e, 0xf78aef01, 0x5cb22b59, 0x03ffc9c9, 0x7c948878, 0x08cf4226, 0x6e16dbd4, 0xb8126852,
+    0x037ee461, 0x81049b39, 0x3f1b9838, 0x7eb77c06, 0x0a7391ec, 0x79fbe5b1, 0x22bb1b26, 0xcb68db94,
+    0x2e3b40f8, 0x426a3172, 0xf201cbff, 0x9d853c62, 0xd3726b87, 0x40277eb8, 0x85861365, 0xd637d1d7,
+    0x4fe0ce49, 0x6ab5e154, 0x30fa4f7f, 0x324b1767, 0x3558ee38, 0x6edb6931, 0x2831d5d5, 0x665dc4bb,
+    0x6b97c472, 0xd8981128, 0x4d997afb, 0x2206a29a, 0xb652756a, 0x578733a7, 0x9e0301ff, 0x664232a5,
+    0x738f0313, 0x73035025, 0x73807549, 0xb8acb908, 0x0e80cc88, 0x87ea24e1, 0x1ca6eed3, 0xca7b4d2b,
+    0xc823ca86, 0x51864b44, 0x6c2e7794, 0x8b381277, 0xc059c3c9, 0xb6fbab30, 0xd4452e9c, 0xb30a18d9,
+    0x703e8d00, 0x94161633, 0xe7388e15, 0xf15023c3, 0xeb3ef8a7, 0x5a1cd846, 0x12b331a5, 0x3b0989e3,
+    0x4f88ca8a, 0x506bd396, 0xe93e5e97, 0xf6301568, 0x3dae6ca9, 0x81dfe3fd, 0x0afafcd7, 0x8fda771e,
+    0xa023b80d, 0x1535c2e3, 0x09485add, 0x628af353, 0x936dbbc7, 0x440f09dd, 0xaf19e78f, 0xe0414e96,
+    0x7e1cbccc, 0x9d2921d3, 0x734b7c4f, 0xb8cc6cd9, 0xccaf6edd, 0xee193e4b, 0x26097ab3, 0x39882e58,
+    0xb1f63f7f, 0xd25ed691, 0xdd77222b, 0xc25a287c, 0xa8758461, 0x25752344, 0x1c568e6d, 0xf4ea113b,
+    0xbb0ca8f6, 0x278d392e, 0x069af9b1, 0xe102773c, 0xb575c391, 0xa6f519ad, 0x3e705860, 0x0375b369,
+    0x9de7f1b6, 0xcc175427, 0xbedb25b9, 0xb2b719df, 0x65fd81f4, 0x675e3349, 0x93c155c0, 0x584f2e44,
+    0x800da4f6, 0x4ecb92bc, 0x0b3405a4, 0x98bdba20, 0x955205f0, 0x13cd50ad, 0x499f5363, 0x07dfc0e1,
+    0x4f75573a, 0x20ad7cc9, 0xb382989b, 0x59baa330, 0xdb5d942d, 0xb0fea035, 0x02eddf15, 0x4a77795b,
+    0x98edfd7c, 0xd6dfd938, 0xeebc7666, 0x01b20b1f, 0x07d90b86, 0x083a0b32, 0x4d16464f, 0x7d293676,
+    0x2fc7f347, 0xf445a8d2, 0x4d08e406, 0xb3146926, 0xcfe5a890, 0x63312b63, 0x07cccbca, 0xc6d3a968,
+    0x28fce71a, 0x1fbb326d, 0x55195d31, 0x1da16411, 0xa2108815, 0x08c23823, 0xc83cc9aa, 0x0a0c2c10,
+    0x1626450a, 0xe8cb2aa9, 0xdab15cc4, 0x13ba2c32, 0xa5ad0d66, 0x3bacfa49, 0x1ca20a22, 0x21e4df4d,
+    0xfc927390, 0xb505c540, 0x23c59186, 0xb8c063c7, 0xd97930aa, 0xf363e035, 0x81853966, 0xd43e89ef,
+    0xed6bf25a, 0x9e2dc7c9, 0x55061350, 0x3fd9744a, 0x6629dd7f, 0x93f4a0f4, 0x08bce830, 0xed0d933e,
+    0x4e7087be, 0x678c1f02, 0xdd214789, 0xb2122719, 0xeb167ba9, 0x802b55b0, 0xad26b7ba, 0xf2454a78,
+    0x9d5197d7, 0xd0317414, 0xfca0d5fe, 0x39eb306e, 0x58986a7d, 0xbeefb480, 0x78ac601e, 0xf75eb46f,
+    0x86e0e4df, 0xeb6fb3d2, 0xb4f88a63, 0x1ac5b72a, 0x2908f58b, 0x7e9aa7e6, 0xfc3def04, 0xb68e989e,
+    0xfcb67b87, 0x73e294d6, 0x6fbbd3a6, 0xeaca5512, 0xbdde5604, 0xd8a3352a, 0x1facab90, 0x88d52c51,
+    0x641d5822, 0x5546f375, 0x760bf903, 0x6316157c, 0xce5a8aa1, 0xf09bdaa3, 0x16db6941, 0x03fcc4c3,
+    0x483fc6bb, 0x2c400b98, 0x4131144e, 0x7fe079c7, 0x5fb5437c, 0x654c5cd6, 0x49e147bb, 0x9c023589,
+    0xd1954569, 0x1610cd12, 0x2873903e, 0x67074d76, 0x61000af5, 0xf3e36bd5, 0x61f2857f, 0x25d86f4c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000001243308091\
+                          02446660538845562036705210025114037699336929360115994223289874253133343883264 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da,
+    0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958, 0xb724a9bf, 0xbe8c3d31, 0x7ccd780f,
+    0x00000000,
+    0xcebfa0ce, 0x50dbe307, 0x68097687, 0xeded1e6b, 0xc46fa4cb, 0x4bd7fdd0, 0x549204a0, 0xafd84cc4,
+    0xa65a0d8b, 0x07bc41d9, 0x569bb5da, 0x8cf9c6a6, 0xfe99ac30, 0x240a6030, 0x071ad125, 0xec84fcb1,
+    0x6743f310, 0x8a339fc5, 0x32a901f6, 0x3c67780e, 0xb1b827c8, 0xf6419cc4, 0x374f051c, 0x61ff82d4,
+    0x079ccc14, 0xe698bdf3, 0x45539f75, 0x37bf05c6, 0x103f26fa, 0x52a2cd62, 0xa6dfa35b, 0xb9c83469,
+    0x2e38b468, 0x0cc00326, 0x3d35c65f, 0x2b34d4a0, 0x11a05fad, 0x13c831b4, 0xa1e58558, 0x62053bad,
+    0x3b22cc7c, 0xffaba4c8, 0x0f75123b, 0xd048aa12, 0x129cbbea, 0x2fa9b702, 0xe5029149, 0x75f17196,
+    0xc4b44fee, 0xe03db348, 0x2c36c0b0, 0xb6646693, 0x276657e8, 0xd98c15e4, 0x8ad5f601, 0xdd1e3422,
+    0x9b2d2009, 0xa8ff0fe2, 0xb5fa0997, 0xceda7572, 0xfbeaa993, 0x7a6b1d0c, 0x19dd8c08, 0xec45731e,
+    0xb60f7a43, 0x672ff1dc, 0x6e91a4b4, 0xd801645b, 0xa3466de6, 0x86621cc0, 0x8649d619, 0x71ce0174,
+    0x124bce4a, 0xcdcef0cc, 0x20a6cd60, 0x9f12a21a, 0xcd2a2806, 0xefebf609, 0x2bdf6140, 0x038ef206,
+    0x09b5acce, 0x2435b37b, 0xaa89d888, 0xf28a5911, 0x01b70e68, 0xa2526ded, 0xc0839b10, 0x41ab6021,
+    0xb1d5722c, 0x0542ca64, 0x1cd8f84c, 0x1a85219f, 0x0197d67f, 0x262db800, 0x62aa7431, 0xbffeb8b2,
+    0xdcfc89fa, 0x0179d997, 0x64f23c12, 0x16b0654a, 0xc3d8e061, 0x5b88928a, 0x1a5b662d, 0xa6ccd0d3,
+    0x65015791, 0x990c8aa1, 0x4f840275, 0xc9b249dc, 0x13df1bf5, 0xe81f97d9, 0x71bb3aad, 0x49e7e6d3,
+    0xd72b9f4f, 0xe162919c, 0x4040c4d5, 0xea56818c, 0xd5eb2a0e, 0x7299d07d, 0x71381684, 0x0e398e83,
+    0x15a01afc, 0x20660034, 0x070634c5, 0xd4ad5d09, 0x44cff45a, 0x64a8ae10, 0x406b15cc, 0xbc2f611d,
+    0xa83c525f, 0xc89fb7b7, 0x0548014f, 0x72ebacb3, 0xcfd48dee, 0xf6905728, 0x14805817, 0x1e2ec282,
+    0xed2f49a4, 0x3c016751, 0x7d55cf0f, 0x4fe1abd3, 0x14bdd6e1, 0xa9f081bd, 0xbf581cc6, 0x38225be6,
+    0xf72fc715, 0xeffb3cf5, 0x1012ec50, 0x0d6ba852, 0xd00db180, 0x5797593f, 0xceb6c2ce, 0x45722e5b,
+    0x9a85cd7d, 0x10da1a50, 0xc363957e, 0x252b7aa3, 0xe3330b82, 0x8251fb7f, 0xc7147e78, 0x79ecd0fa,
+    0x85d333b8, 0x6f3cc7b6, 0x7c004ebb, 0xaf901505, 0x5896b2bd, 0x9479e07a, 0x45c0caa6, 0x56649050,
+    0x27d95bb7, 0x5082e48e, 0x9219b45b, 0x23ece29d, 0x9cd9f665, 0x6a2c0a3d, 0x3c59c49d, 0x004301a1,
+    0xee0c73b6, 0x46ee5d4a, 0x82e3cf1f, 0xe9857176, 0x569293f8, 0xc83d9848, 0x855f4c13, 0x2f318210,
+    0x9b38761b, 0x52e70c64, 0x0ba9af58, 0xbd600f69, 0x1c637797, 0x792fbf09, 0x8f441187, 0xf4afdf41,
+    0xd9007fac, 0x91083479, 0x2ec956a4, 0x59b2c764, 0xbe45b5ad, 0xb1088811, 0x7358a3d9, 0xb31d9092,
+    0x0a8600ee, 0x81e438bc, 0xdf3527ec, 0x9df98634, 0xb3071c22, 0x32134528, 0x3eb3fed1, 0xbba0c70f,
+    0x7c682383, 0x5d54b606, 0xd45b0abb, 0x307e837f, 0xe5280a91, 0x332bd4e5, 0xe356cd3e, 0x92d8b271,
+    0x13c1ccf6, 0x87b8aa1d, 0xfcc82eb6, 0xb353f9db, 0x85954b23, 0x3bf372b6, 0xcb7b58df, 0x5393db2f,
+    0xc281aefe, 0x674485d2, 0xa2b802b4, 0xf3db6ac2, 0xc1c05fa4, 0xd2311c86, 0x7a9f624f, 0x54b9d813,
+    0x42628377, 0x3f746b01, 0x9ffa5d53, 0xe1671f88, 0x32261036, 0xe62e8366, 0x3d10ff0f, 0xb883a4d6,
+    0x460cb5c3, 0xa3aaa5a5, 0x904197e5, 0xda83cf17, 0xa45ddb2c, 0x06b6b678, 0xae8ae12c, 0xa634074a,
+    0x43bd691b, 0x4c150654, 0x52868a43, 0x68dad205, 0x681945f7, 0x24e4e4b8, 0xbeffd482, 0xcea9abac,
+    0x56ba67f3, 0x0446bd81, 0xbd3b2505, 0x1dfb166e, 0x5da6b045, 0x0e061d06, 0x249381ec, 0x04d0d31e,
+    0x31b63486, 0xa4b53fea, 0xabe01f7a, 0xbd2c0431, 0x4a131457, 0x6631feba, 0x5883c305, 0xffb9044b,
+    0xc269a053, 0x0d15645f, 0xb045e810, 0x5511e856, 0xf5c8cf04, 0xb6e9e055, 0xd26b3f03, 0x24a180f2,
+    0xbc6d8d06, 0xb2ff5e15, 0x85f42276, 0xe593719b, 0xaec2def0, 0x12800cf6, 0x41958b49, 0xd34dfd9c,
+    0x5147b078, 0x9ef4c307, 0xcbaeeded, 0x99655cd8, 0x1ae5c433, 0x0722ee0c, 0x7b7f6494, 0x20b80798,
+    0xcb024c89, 0x27182a20, 0x0a3b96a5, 0x28389791, 0x361728dd, 0xd3ff96e8, 0xc5460e83, 0xc5bae506,
+    0x28c01f3b, 0x85aaa4ed, 0xe47ddbff, 0x0abe2e82, 0xd81f97de, 0xb69dc326, 0x163ce6dd, 0xbc2acb00,
+    0x52dda752, 0xa33abc10, 0x0821a47c, 0xa96d3d7c, 0x9ca96d03, 0x7a654c93, 0x3f54e7b8, 0x4e16e487,
+    0x059fb8a5, 0xeffb8092, 0x6f6b2174, 0x345657bf, 0xd23b65a1, 0x6c652562, 0x3ef47367, 0x247a188f,
+    0x7549e8e2, 0x1f7f4b9e, 0x85881e58, 0xc351347e, 0x2774214d, 0xd1eb2e5e, 0xa948b771, 0x5d2b19ed,
+    0x511c21ac, 0x5ca8148e, 0x8d8b8dce, 0x2a59804a, 0xb881d699, 0x1ba89271, 0xadc10c54, 0x7083b8c0,
+    0x6c5ce39a, 0x5e423312, 0x37b47a31, 0x6e466390, 0x8d988011, 0x6582d8cc, 0x47fe9faa, 0x54b1495e,
+    0xf1057aa7, 0x95bc3273, 0x3c350ff0, 0xe850861e, 0xd0a6ba98, 0x06730aff, 0xa1603406, 0x2730dd3c,
+    0xa7547d14, 0xa786205a, 0x99f48bc2, 0x2965bbd3, 0xa5e8a687, 0x7d5a3319, 0x9db95dc9, 0xd1911999,
+    0x51352ca1, 0xb013b0de, 0xfac19747, 0x6723ceb9, 0xc15ee64b, 0x84de4426, 0xf2d7769d, 0x249ff2aa,
+    0x3f06e0a3, 0x7ac26f07, 0x58321ff9, 0x8de6a16a, 0x932c9810, 0x04866880, 0x0985b4c5, 0xca7a38f5,
+    0x6d2b5793, 0xe1486e70, 0x3e2cbc7b, 0x324d179e, 0x867f7bc5, 0xc98c7742, 0x0ff43d14, 0xe3242d10,
+    0x5df6dbd2, 0x1ad9780a, 0x2c9135c5, 0x35886d08, 0x66311270, 0x929a2e04, 0x3646ad47, 0xecd662ba,
+    0xdde38d07, 0x102d5a5c, 0x1ae99195, 0xd677401a, 0x5b7e6340, 0x329d7f08, 0x113fb1f3, 0xaae5bc2a,
+    0x6c035795, 0x7eaa6e4c, 0x8cf1c9eb, 0x862d7919, 0xdf4518ed, 0x5ea2199b, 0x9f7319e9, 0xdabe2ce9,
+    0xb28145c7, 0x96e76c3d, 0x0ef3d17f, 0x5bb5906d, 0x56064fc3, 0x8fea5b65, 0x4d986e77, 0x5fe2264c,
+    0x18f26d73, 0x72da248d, 0x4470d5b9, 0xddc8df10, 0x8b4d349e, 0xd96f2780, 0x950f4d97, 0x158d5b08,
+    0x8628d01a, 0x3ab3db0e, 0x12667233, 0x29b83653, 0xbb1d749e, 0x368ce7c0, 0x4287139b, 0x800f6035,
+    0xd0bb1b63, 0xa363bf06, 0x32db2f35, 0x59e026a7, 0xafa15cde, 0xa4884bae, 0xa0bb6f02, 0x1d92fd0d,
+    0xa31daf55, 0x4d8b6531, 0xc82371cc, 0x4842a385, 0xf2dd2bf8, 0x135bbd43, 0x701a834b, 0xe2e9eafd,
+    0x96a52df3, 0x4d846e51, 0x8f8596b5, 0xeae3752e, 0x043d5e7d, 0x5511aad1, 0x1c027b5e, 0x684a95da,
+    0x4d6ca572, 0x9721127d, 0x45e0e56b, 0xe37a266e, 0x8799872b, 0x9b983056, 0xac967e35, 0xe527628b,
+    0x1a40be67, 0xa415e239, 0x2697d8bb, 0xae2b42fb, 0x4f76cf0d, 0xe2d1d1a2, 0xc93beba3, 0xd2ab73f7,
+    0x01c9fe2a, 0x64983d34, 0x7e81bca9, 0x873980ba, 0xec46a1bb, 0xae8f900d, 0x774c3292, 0x12ad8190,
+    0x04b65747, 0x25f2501e, 0x2fa48e74, 0x253fcd5c, 0x82a7b343, 0xb157c024, 0x266e41be, 0x18f87ce3,
+    0x3e295fa4, 0xb2273b9b, 0x686980eb, 0xfc2a4a7c, 0x4629ed0e, 0x7f4bb537, 0x1a56e0ed, 0x1724afed,
+    0xa673f931, 0x43d39f2f, 0x583fc4ea, 0x55f035f8, 0x27ea6d78, 0x27ce4dbf, 0xea9111a7, 0x2fe0cff2,
+    0xbed8f18e, 0xe21ce792, 0x5d33cb4e, 0x8e4ac242, 0xf0ab0b3e, 0xa34e78ac, 0xa99e0080, 0x2af52b48,
+    0xb9cae1c5, 0xc786989e, 0xab41d1e7, 0x07482a30, 0x5e710b1b, 0x6d5292d3, 0xdd7a2637, 0x646630f1,
+    0x98638647, 0xdf499d92, 0x598e1ac3, 0x155ae6d4, 0x2a181121, 0x4f05b336, 0x7908eff5, 0x29ecafb7,
+    0xf60db84e, 0x27eb0b19, 0xb4e50018, 0xafd65a03, 0xc5eb0aa4, 0x28528f9a, 0xc2cff8ab, 0x7b2cd366,
+    0xc9e0a571, 0x7b658c53, 0x36eeb447, 0x384f41ba, 0xe37a2dfd, 0xd1f77d7b, 0x848a244a, 0x6cd654cc,
+    0x2c571a5d, 0x498d6a8c, 0xf655ca71, 0x7b9e4fa0, 0x30fb3518, 0xf4c243e8, 0xe05cbc85, 0x3efb42f7,
+    0x89091e64, 0x09850fef, 0x2186448f, 0x01c0521f, 0xa97cce97, 0x687c3fa4, 0x1c58561c, 0x26728cf7,
+    0xbc898ac7, 0x6d1872f5, 0x86f703b9, 0x117a560e, 0xf46e1e70, 0xa89b9afc, 0x988bb0d3, 0xceec3b2a,
+    0x21d151ac, 0xaaf6ada1, 0xf7e249e6, 0x591e0007, 0xb5de35ec, 0x70798b15, 0x26cb4324, 0x662457f1,
+    0xeda678a7, 0xece87cba, 0x0b52d3bb, 0xc261c01b, 0x66eee296, 0xabd21eb5, 0xb1aa9cac, 0x74d478ef,
+    0xb99cd5fc, 0xae2e23f4, 0x9e9e046b, 0x3822bcdf, 0x87ff6b4b, 0x3089670d, 0xe5ecf01a, 0x5d27d9d8,
+    0x923071a7, 0x771376f1, 0x23efdbfc, 0xd4d42941, 0x39199a35, 0x22c45f0f, 0x4922da47, 0x45692072,
+    0x7540b190, 0xb01c88a5, 0x3e4e7834, 0xbd557834, 0xa505f091, 0x7852b5fb, 0x241fd377, 0xb8bc541f,
+    0x8af7b3a8, 0xb352b2d4, 0x3b4d8716, 0x24c4419e, 0xc3bf6854, 0xae14240a, 0x52f37f7e, 0xfacddeaf,
+    0x4b4db733, 0x1779cea6, 0xa6e67ea3, 0x760bcefc, 0x79833084, 0x6503393f, 0x3c0f9685, 0x7dc5bf25,
+    0x44e170bf, 0x69d90bfc, 0x37460430, 0x16aed3c1, 0x88b1480b, 0xa7b572ef, 0x8570e7e0, 0x8121c464,
+    0xb7e5c5a6, 0x699023aa, 0x2544cdab, 0x46a780db, 0xb13a81d1, 0xa2e36b54, 0x92e9f1ee, 0x6bcdb6f6,
+    0xe61d89a2, 0x43c12439, 0xa22d0f79, 0x2ca62ca1, 0x388f7d4e, 0x38bbf14b, 0x869ede0d, 0x6beb66c0,
+    0x61f47268, 0x313a4f32, 0x80b48aa8, 0x87406581, 0x749c39df, 0xf9eb55c1, 0x2306dc36, 0x96427bb9,
+    0xfade8a1b, 0x829f0db3, 0xd3c619cf, 0xa68191ef, 0x65cc63c7, 0x45a3a297, 0x5a8b6435, 0xea465ddf,
+    0x0ba98314, 0x58bf22e0, 0x9c12d8a0, 0x996728f3, 0x142db51b, 0x6889fdd1, 0xdfd954f2, 0x8e021a11,
+    0x7a61e036, 0xa3233e24, 0x96f8104b, 0x79d6bd3a, 0x4e3c81d2, 0xf942db0c, 0x59c37dd9, 0x3678743e,
+    0x99c18fff, 0xaf2c0418, 0x273a3ea4, 0x520eb744, 0x8488b383, 0x193fb132, 0xbc1025a6, 0x0ba41d1f,
+    0xb10e2078, 0x456d4d00, 0xb7f7f16b, 0x2ddd528a, 0xd0849b78, 0x4c5f3f11, 0xd69b2f69, 0x2cba779a,
+    0x850919f1, 0x59888a65, 0xe45226dd, 0xa4d87487, 0x28906595, 0xfa358a3b, 0x0b5a1845, 0x59c59c66,
+    0xb7211901, 0x77073163, 0x5f33826d, 0xf4647d3b, 0xfa912fa7, 0xac78ba71, 0x45625aeb, 0x30d10b2a,
+    0xca9cbdf3, 0x8254e8c8, 0xb45d2053, 0x7d7aae2d, 0xc03dcbfa, 0x86ba886d, 0xabb7e068, 0x3396f6d0,
+    0x62545710, 0x65bbf309, 0x58a044c4, 0xa1034204, 0xb79beec5, 0x834f034f, 0xf9422ab6, 0x9e2b28b7,
+    0x04e6ab07, 0xbdd4f34e, 0x8824daf4, 0xb3e410b4, 0x1cb7eacc, 0xc4fbadae, 0xa102fd8a, 0xb6b32cdb,
+    0x3ad4f187, 0xb79f81ed, 0xa5d0eaf7, 0xf4dbc14c, 0x75ae8bfb, 0x7762b155, 0x98ad3fdf, 0x7e0ad3ef,
+    0x9e83f11a, 0x81ebcc82, 0x38d4e228, 0xca53de90, 0xe65f1bdb, 0xd21619e0, 0xd7ca2060, 0x8a5aa40b,
+    0xec679529, 0x629b1d75, 0x8f813407, 0x63aee2e6, 0x8922d53e, 0xcb5eee6f, 0xcae46c48, 0x2aa52e10,
+    0x831ff377, 0xb8ea00f0, 0xef57c85c, 0x773e0de8, 0xafa69608, 0x6fedde3e, 0x01f615d3, 0x8361c7f7,
+    0x2b97556f, 0x6b4ec494, 0xc22d97b5, 0xea321a67, 0x8f5554da, 0x8afe9b0d, 0x119c6211, 0xfde12594,
+    0xf587b512, 0xb03ac612, 0x71e50b99, 0xcecae65a, 0x1f38323a, 0xca909fa0, 0x8d2608b3, 0x2a8cc7e3,
+    0x19e55b2b, 0x9d381f18, 0x189432d3, 0x204452a2, 0x03021861, 0x89b29387, 0xa63d413b, 0x4d8fb8e2,
+    0xfb270782, 0x2cbd206d, 0x3ee1821e, 0xff8bfc2b, 0x5c59114c, 0xe03c9071, 0x268a664f, 0xadad9127,
+    0xfb7d95ae, 0x9add5276, 0x099704b9, 0x8748ab12, 0xf23e6642, 0xad326814, 0xeb8d34f0, 0x9eb7df6f,
+    0xed8e3faf, 0x63f86c2c, 0x599d8076, 0x65718942, 0x152e4365, 0xb5ed8e29, 0x0378e15f, 0x59befb0c,
+    0xcb747b92, 0x1bc2ec4a, 0x48b5d83f, 0x6e4e9031, 0x7e02883a, 0x1af399bb, 0x7eec7b4c, 0x8e28b894,
+    0x554a3886, 0x4acb7917, 0xe6920406, 0xe7faf1dc, 0x63ed778c, 0xf55d13b6, 0xa259a5fc, 0xceb11d2c,
+    0x5bbeebc4, 0xce3d9138, 0x7d8132ba, 0xdb4e95f5, 0xc59a9cf8, 0xa8dc0d2f, 0xf3a4173e, 0x085a694c,
+    0x6721fb0d, 0x9c33252c, 0x8f2ed428, 0xc4cd8446, 0xc85fb224, 0x841a52ee, 0xd73361d1, 0xebbdb28e,
+    0x616ade11, 0x3860de8c, 0x639715ed, 0x4ec2394c, 0xfdd2e966, 0x612c306b, 0x7518d07f, 0x4c86b108,
+    0xe17628c1, 0x99668291, 0x2745712f, 0xc9c5ba50, 0x660dbff1, 0x9e487c16, 0x7ded8cc6, 0xb2e26852,
+    0xd42a1039, 0x66bbb890, 0x5325cc99, 0x3095f749, 0xdba25315, 0xb4e05a39, 0x769e0a06, 0x9206cfee,
+    0x1fb0ba79, 0x24f3c6ab, 0x327794e0, 0x3e221a02, 0x0048f51b, 0xa7f71955, 0xf37c1aa2, 0x5435ab65,
+    0xc3095995, 0xb574464d, 0xaa5c2a0b, 0x774f239f, 0xaab2f081, 0xdaaf5666, 0x53139aae, 0x42a16040,
+    0x685a9ce0, 0xd33e6792, 0x0d66ceec, 0x6a54bffb, 0xe71df096, 0x62c23450, 0x17b5c876, 0xaf69cc02,
+    0x4ae0cb0b, 0x98ae9e89, 0xd517c6cc, 0x6f85c6b3, 0x55eba10b, 0x676642dd, 0xc5bed5fb, 0xf4524d91,
+    0xf3f49ae9, 0x753ddfca, 0xeb89d8ac, 0x3699af6d, 0x483e502b, 0x70097c6b, 0xa42edb2e, 0xbdd8c0b5,
+    0x462221f1, 0x7ae92de1, 0x769a4cb6, 0x679fb635, 0xd607a4bf, 0xec311ec5, 0xa28a8654, 0x15612811,
+    0xeaf12f5f, 0x43f5f8f7, 0x43c52585, 0xf93f7ba6, 0x2e0582dc, 0xd41c2900, 0xa45c0baa, 0x41cbcef4,
+    0xa0f67fd6, 0xb1ce30a0, 0x206b007c, 0x32fb6e43, 0x93ff68a4, 0xd947a24e, 0x5d27c76b, 0xba64e1fe,
+    0xf1a5e7cb, 0x229a2b88, 0x279f057d, 0xf68f0aa6, 0xf8bbaf18, 0xa17ba9ff, 0x853eff2a, 0x49a3067f,
+    0x736ae591, 0x887d7ff7, 0x3acc49e4, 0xff97d0c5, 0x931a594b, 0x8ce684cb, 0xba074cc0, 0xb5acc855,
+    0xdb28577f, 0x9cf7533d, 0x262c73e6, 0xfdc6164a, 0x407ca694, 0x1e37a71b, 0x3f8fde06, 0x1482d661,
+    0xb4325c24, 0x32b02302, 0x630a10b2, 0x6198109b, 0xc37de68b, 0x519a4315, 0x1775753a, 0x10cc5df2,
+    0x2f5c1557, 0x82697a49, 0xf69fdbfd, 0xc4b7e431, 0x24ef3a6b, 0x802a6934, 0xd700041b, 0x3fcfd2b4,
+    0x5e7b7f50, 0xdbed1cb5, 0xbfef48e5, 0xb3fae0b6, 0x915dd0e2, 0x232eec7e, 0x34b0a4b9, 0x30ec2fee,
+    0x33e5db42, 0x3849e78a, 0x62aca3ee, 0x194fec63, 0xf9cb2c57, 0x9858a07d, 0xed3b252f, 0x58465b1f,
+    0x14dbb6c9, 0xcf726838, 0xf146df41, 0xadb6606a, 0x1804a4a5, 0xf1f3901c, 0xa79cbe66, 0xed26eaab,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000621654045\
+                          51223330269422781018352605012557018849668464680057997111644937126566671941632 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed,
+    0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e98, 0xbe66bc07,
+    0x00000000,
+    0xa2ad516e, 0x9d40f6d6, 0x7c71b9dd, 0x90043916, 0xb48cd731, 0xc238b2d6, 0xf02b326c, 0x26fada7c,
+    0xdcb8d686, 0xf0fb6d7d, 0x98e064cd, 0xcc90bea9, 0xc8c43e97, 0x22924f62, 0xd14d78c9, 0x10927109,
+    0x3f30d975, 0xaa2b15bd, 0x168d9ac0, 0x251dfe8c, 0x5fa2d4cf, 0x2a992f2b, 0x31e9dca2, 0xd91b3864,
+    0xddf31b7f, 0xa912af41, 0x00d10cdd, 0x45caa524, 0x1fa608fb, 0xe7dc6de0, 0xf69ae2de, 0x809916ab,
+    0xe0c2f63d, 0xd30e2de4, 0x35d79bc5, 0xd46b7443, 0xd6593aed, 0x01f99a7b, 0xf17dcafd, 0x47561485,
+    0x8208b19e, 0x7172777c, 0x1e994e05, 0x960c2a46, 0x9ea8ef0e, 0x88c7950c, 0x84ea0d96, 0x65526e92,
+    0xe769c6fe, 0xaea670ed, 0xbf0a689d, 0xbf86a6f3, 0xadf2cd40, 0xd506b4e3, 0xd1edd570, 0x9700f8c7,
+    0xea01093f, 0xddde32aa, 0x200c3587, 0xa50d21ac, 0xd4ee4413, 0x54769712, 0x81802afb, 0x5d8369c4,
+    0xa7cf77b6, 0xd948aeda, 0x859bbec0, 0x5c9da552, 0xdd12f4f5, 0x01a375a9, 0x1c775ec0, 0xaa5d3dd8,
+    0x0f03efeb, 0x4ef62e32, 0x9b30c956, 0x267f5396, 0xffe7e678, 0xcc959434, 0x4669f9a6, 0xdfd9d1bd,
+    0x503bd915, 0x7eca64d0, 0x830dae4a, 0xf1abaaf8, 0x7d43f1a5, 0x44a5cd74, 0x96bc81d0, 0x575d5158,
+    0xacb492a7, 0xa8673035, 0x8d48c611, 0x64ebc448, 0xc2d212b0, 0x0f81d6ef, 0x754d235d, 0x359a7088,
+    0x3d7e0844, 0x374024ee, 0x33e86822, 0xd8903b4e, 0xc1857ed1, 0x4c3cd8a6, 0x7b547107, 0xcbc0f7f6,
+    0x08e5f23e, 0xe8ec4dbc, 0xb58fcc96, 0x77f2efdf, 0x05f6745c, 0x7d6de125, 0xb7e6d3d6, 0x40af1a18,
+    0xe570b48d, 0xcfb71b92, 0xe2602dd3, 0x1001d791, 0xe3de95a6, 0x447bad53, 0x4aae1d4a, 0x425a6dd2,
+    0x66f54e27, 0x936a58c2, 0x0e28c88c, 0x1db3977b, 0x840bd4d4, 0xa5e67c0e, 0x76756c4a, 0xd57b5070,
+    0x23ef6843, 0x47e39bd1, 0x9f535dae, 0x2d533354, 0x9d5341e8, 0xae8d2896, 0x53cc64cb, 0x08ec6b41,
+    0xe52adec0, 0xa46e99a9, 0x7996e978, 0x0c3149b4, 0x472fcc81, 0x4d49ab97, 0x3ef55dc1, 0xb463be32,
+    0x3e00ddc7, 0x0d62d3c6, 0xb3e9e673, 0xb6ad8c59, 0x728ba66f, 0x7a75aedd, 0x4c8a03db, 0x8de1c4ec,
+    0xdd53319a, 0x385747e8, 0xf10e589a, 0xc070b538, 0xbb0fe971, 0x0fb3733b, 0x103a8af2, 0x8edf2a14,
+    0x7e956ff4, 0x2473b194, 0xed99c277, 0xd6601d74, 0x6dfc3b8a, 0x1ac96cc7, 0x380333cd, 0xeb6ad6fe,
+    0x3edad2b0, 0x3678e61f, 0x24f02d5f, 0x46f243e3, 0xff3e9aa8, 0x49a31167, 0x52627099, 0xead48ab0,
+    0x9dd37439, 0xb4f49af5, 0x8d039df6, 0x66f77493, 0x221cdbc5, 0xaf2b2809, 0x3a389aa1, 0xcf1a3f50,
+    0x1a08ddba, 0x82762810, 0x12019f67, 0xf8c7d1ba, 0xb8308bdd, 0xc7687a72, 0x3097aced, 0x3732572d,
+    0x1b1a5dc4, 0x440508fe, 0xe9bde19f, 0x71374d9d, 0x77532fe6, 0x280ddc69, 0xe57f5a16, 0x5642772a,
+    0xfa35482c, 0x3bc7b05d, 0x91a78cc8, 0xbb116b6e, 0x4df3ca80, 0x589f5868, 0x54ac0730, 0xf5b3a45a,
+    0xe16f7775, 0xbeeb97f7, 0x3fcd628a, 0xe847301e, 0x06ab9665, 0xa1b65339, 0x4caa3469, 0x31f9b97d,
+    0xbb2c599a, 0x2fd360d0, 0x9e1de659, 0x6943ffb0, 0xb41766ec, 0x75c23495, 0x1148e651, 0x180ec41e,
+    0x1b77fa16, 0xe1023fb6, 0xc216b7cf, 0xbb802894, 0x24fadb9b, 0xd18143db, 0x25dacff2, 0xdfdff400,
+    0x48e4ae89, 0x6ed75238, 0x608ce348, 0xcd1eff6b, 0x86fe13b6, 0xe88855c7, 0x6eb6bf15, 0x54b1adb2,
+    0xa9270669, 0x09a8f408, 0x9bf5bfb2, 0xf501ee3b, 0x14ea175c, 0x5e605e1e, 0xda1bc103, 0xa990b3a2,
+    0x8b8405ae, 0xaba0cea6, 0x9caee069, 0x4557de2b, 0x3f6dbf0e, 0xa7a02c32, 0x5898a9ce, 0x3e707634,
+    0x8306c833, 0xda7c9e1d, 0xb8df5397, 0x03b7e568, 0x6d5b9ca4, 0xceea5de6, 0xa553e969, 0xcc3144a4,
+    0x444b9ab8, 0xe972124e, 0x3088adab, 0xcf5d7c80, 0x4ffeaf53, 0xbfa3562b, 0x1a1dbd8d, 0x396d9c14,
+    0x93aa14ee, 0x5964ebc6, 0xdc23b885, 0x36dd0036, 0xf3b5000e, 0x25328336, 0x1839cb6b, 0xfb8322e6,
+    0xed27090a, 0x13ce578b, 0xe581c308, 0x0f6723b3, 0xcf8affd6, 0x4876eb64, 0xf8abf3a5, 0x6503350c,
+    0x9c7320a8, 0xebda9b78, 0xa71e5059, 0x85035e13, 0xd4a714b2, 0x79ae3a61, 0x10a84e83, 0xb1a20d5c,
+    0xd0f0f5ea, 0x3ab6265d, 0xfac3c76c, 0xdaa36763, 0xffe48651, 0x4bbc0273, 0x75744854, 0x812120d5,
+    0x953d5db5, 0xbb92796b, 0x711bcaf4, 0x2a2a17f8, 0xbfd199e5, 0x6ac29490, 0xfe8e9d84, 0x2dd71972,
+    0x27a1baa7, 0x661e11fb, 0x00e8ec83, 0x73623b03, 0x724a920f, 0xac8abbdc, 0x28d84982, 0x66f99078,
+    0xe3e53f86, 0x806b4216, 0x45b0912c, 0xe0b1ca7c, 0x94b80b47, 0x84e639b7, 0x72aa93c6, 0x249b07a3,
+    0x231cfd13, 0x1be9f68a, 0xec400701, 0x777ad0d8, 0xf554209a, 0xf2a3ae5b, 0x4ab650ee, 0x6edabd07,
+    0x658d6da8, 0x1156b854, 0xa168a0bc, 0x080d234e, 0xf58c03d7, 0x24fdd758, 0x538132e2, 0xa93025a1,
+    0x2db1722f, 0x5f575556, 0x9ab0c54b, 0xe4e2149c, 0x0e866ba2, 0xa21d0c7e, 0x5aff9d1b, 0x66231188,
+    0x9fcec25f, 0x9be669f0, 0x726c8eab, 0x8860f0ea, 0x445dc92d, 0x6e5293d8, 0x64aa14d9, 0x10da88b9,
+    0xf56738fb, 0x6ae2bc46, 0xb97af667, 0xe0e5dc4f, 0x56fd7abb, 0x4d3afdbf, 0x182d0375, 0xde05a35b,
+    0x1002259b, 0xca1b6317, 0xf84e080c, 0x66147384, 0xb1323134, 0x122fccd3, 0x3b7a7dc8, 0xf169fd76,
+    0x32ea84b5, 0x251d1df5, 0x67824c8d, 0x1a3c84dc, 0xdbfb6784, 0x20dd7e30, 0xc0328a73, 0x35cadec9,
+    0x4ce043f2, 0x0d6a6a0f, 0xf92736ba, 0x7b063e84, 0x091fa9f0, 0xec07e606, 0xde238ed9, 0x55c85b35,
+    0x55d53b53, 0x54fca856, 0x8e3a6252, 0x7dfa152d, 0x3df904bf, 0xc7a40425, 0x690e17f4, 0x01612201,
+    0x3a8c87e2, 0xf6cfdf0a, 0xc722c2ea, 0x43f666eb, 0xea0a1200, 0xef9735f0, 0x77ce64b2, 0xc3a7444d,
+    0xe826cdd9, 0xd82ec327, 0xe41dfe32, 0x78c43aa9, 0x6bf361bd, 0x2c860422, 0x06d7d062, 0x4ac579ce,
+    0x51c13bc9, 0xf535f4ec, 0x313ca0ad, 0x307b74e2, 0x21068dde, 0x82561999, 0xbd63fd67, 0x1069dddd,
+    0xcaa53f6f, 0x93464e8a, 0x0dcf5159, 0xc32cd747, 0x4a6157f4, 0x260887b9, 0xb902ce0f, 0x7423f2c1,
+    0x98626cea, 0xcf0c3f55, 0x59820494, 0x4dfc56bd, 0x789b5653, 0x4f2c15a6, 0xec456664, 0x8d38a2f7,
+    0xd7887271, 0x4cc839ee, 0x4d5b9efc, 0x7fa4dd3b, 0xa4c8298b, 0xf5dc0dd6, 0x98ea6888, 0xbc397794,
+    0xa9e032de, 0x5c51366f, 0x57fac1e1, 0x042f0347, 0xb4f80a26, 0xc40c1a89, 0x8ece2240, 0xc664e1e3,
+    0x668ff7aa, 0xb8eea4e4, 0x166c0ff0, 0x3df1d3ff, 0x1e4321b3, 0xbaa7b714, 0x97e69e51, 0xec7fdcd7,
+    0xa8674493, 0x0c95b487, 0x9b506eff, 0x81e2898a, 0x483649a3, 0x944e2db4, 0x955e0575, 0x48bc80bb,
+    0xda238ee1, 0x2cc3043f, 0x7c87845d, 0xb713836f, 0x2d8ba4c5, 0x020e525f, 0xbe4645a4, 0x6444a330,
+    0xa86109aa, 0x05021ba2, 0xfc663786, 0xbb7c774e, 0x0aae92cd, 0x77ae7c0e, 0x1ab99162, 0x83a52595,
+    0x4d331599, 0x4dc0b1ca, 0x00627d63, 0x1b747763, 0x23a97c44, 0xdeb31848, 0x93779011, 0x9d24896f,
+    0x2831ceb8, 0x46e79ecb, 0xdf908734, 0x18a12583, 0x91ab6f57, 0x5646c58d, 0x8a7fe3c3, 0x0a973bd8,
+    0x195d0f6f, 0x86913e3f, 0xdfa307ac, 0x55d569f3, 0x83a22359, 0xdb0e7826, 0x91afd22e, 0xdf705735,
+    0x0aab06cc, 0x5af4d059, 0xd1cfd00c, 0x62d44aa6, 0xacbe6ab0, 0x5c1ba85c, 0xf6952dad, 0xe6c763d8,
+    0x826ec3de, 0x9ed5a357, 0x3a764e31, 0x97fc6f5c, 0x0f904931, 0xf88586ae, 0xf7bd3dc9, 0x006a697f,
+    0xb06cbb06, 0xcd3f028f, 0x6705112c, 0x05d46a82, 0x2f61acd4, 0x8bd8178e, 0x573794ff, 0xa53ba9d2,
+    0xf9ba5403, 0xf756bb33, 0x4d63ed32, 0xbcf6c3fd, 0x305cabcc, 0x9ab99301, 0x06137b40, 0x1333ac67,
+    0xb983ba61, 0x28a7da45, 0xa226b20e, 0xc7a05da3, 0xc04a5ad1, 0x32f2362d, 0xfdb6ef51, 0x3c193241,
+    0x589fd3ed, 0x6102f2c1, 0xafd48f3f, 0xcd74c018, 0x7668c0cd, 0x072dd59c, 0x4cd018c2, 0x0898e97e,
+    0xd19be956, 0x40c3fd60, 0x1575b000, 0xf1b005b9, 0xf689127c, 0x5515d43d, 0xf41bb07e, 0xe5ee78ab,
+    0xf29a3dce, 0xe82bba58, 0x54b69e0c, 0x35555d4c, 0x29d7942f, 0x361d774d, 0xbc1f50bc, 0x497a7741,
+    0xb081ede9, 0xc044c405, 0x15088706, 0x2f433aa4, 0xb3f75f6c, 0x1d326b72, 0x8018442a, 0xf3f98fcb,
+    0x5fc0e361, 0x146cbc6a, 0x6204840b, 0x9a60b609, 0xf164364e, 0xb3eeab99, 0xcfa41505, 0x4a20340e,
+    0x62044f14, 0xa3d38326, 0x1df5026c, 0x476542c0, 0xe70b0dd9, 0xff85c8f8, 0x580d7be1, 0x15e3a91a,
+    0xdc3c92bc, 0x10d48d50, 0x422fe0ca, 0x8f59f1d8, 0x76818b16, 0xdd6b84cd, 0xf0a67f6d, 0x97d9ebff,
+    0xf9abb48e, 0x5d905c94, 0xee0588aa, 0x6edb021d, 0x54dec23a, 0xa4d92344, 0xc2f83cbd, 0xdee60175,
+    0x440f8292, 0xf79c6a8a, 0x6aebd28e, 0xb0d53779, 0x2a000973, 0xfc95cbbf, 0xf716c376, 0xee9fc2f2,
+    0x769cb3d6, 0xa4adddf3, 0xe341f0fa, 0xc4582565, 0x32115b97, 0xc0265e3e, 0xf077df27, 0x2d644ad9,
+    0x54e7e48c, 0xad88e799, 0xbb5b2e00, 0xb1f4269e, 0xaf3d1832, 0xff0b733e, 0x87532b9c, 0x66f91e06,
+    0x1b05bd7f, 0x7e6d6047, 0x2a155385, 0x4da95776, 0xcac3e152, 0x324d9979, 0xf175be69, 0xcc87dbcb,
+    0xbf5f35f2, 0x7b0c30e5, 0xe9656c5c, 0x57ec7d73, 0x97456510, 0x350df914, 0x0589d16a, 0xeb186d50,
+    0x391ebafb, 0x97e2fef9, 0xff0b5e9b, 0xf22d6982, 0xb19143b5, 0x8ec74c49, 0x3285d2b6, 0x9566f732,
+    0xaf6eef75, 0xf31272f0, 0x321f091d, 0x85b79e24, 0x78daff25, 0x989499fb, 0x2b28be89, 0x4cc8510f,
+    0xe86ccf8f, 0x2d3b2c2b, 0x268fd626, 0x4980df22, 0xeffc000b, 0x926e632a, 0x512c6242, 0x3c5c3e69,
+    0x181c970a, 0x70c5f84c, 0xc9a789de, 0x078d39b4, 0x4166724a, 0xaf9422bc, 0x752f6203, 0x3d0770fd,
+    0xbd8cda2d, 0xf20fb9b8, 0x57a1e851, 0x6ccb103e, 0xdecea2ca, 0xb94911c3, 0x31556147, 0x42c340f7,
+    0x6705b896, 0xa331fa2e, 0xc874600d, 0xdeea2dac, 0x27b2cb4b, 0x266fc105, 0xdba50ae5, 0xcc338b40,
+    0xcb99e01a, 0x829b7a54, 0xa1b8483e, 0x92e9b7ee, 0x998be9e6, 0x5936147c, 0x1ca5ec0b, 0x3bfd0126,
+    0x3ca94ba3, 0x5a4cf51f, 0x3923f7f3, 0xf316205a, 0x466cbc75, 0x96dd4488, 0xf34a9ffb, 0x9859d494,
+    0xc97282e5, 0x0049f6b4, 0xf684aedf, 0x05e03886, 0x72cb27a2, 0x4608966f, 0x8192d93a, 0x3e363a2c,
+    0x7c00cd59, 0xe3fcb9f7, 0x691a0843, 0x16a36273, 0xfd27cde1, 0xdb7775da, 0x4805aa06, 0x7a2d5ea0,
+    0x30b781df, 0x613c3c1a, 0xc861db2a, 0xbaf954f9, 0x732dbbfe, 0xf5793f67, 0x3aaae93d, 0xbe8c87a1,
+    0x3a883b31, 0x6b16b291, 0x2d03d5ac, 0xf1752742, 0xa81e26ad, 0xc5b9532d, 0x36c6e5b5, 0xe88f2ea0,
+    0x41df8e06, 0x82d0a726, 0x342a7e52, 0x21eea8ca, 0x716e42b1, 0x05288325, 0x25e91765, 0x6597cc53,
+    0x0cf82cab, 0xe370af18, 0xff4204b6, 0x3f60f52d, 0x3f7d770a, 0x4ecf11f3, 0xd6668791, 0xd5cc12b9,
+    0xaa796922, 0xdd9233ca, 0xf77c99fe, 0xeecf9fe3, 0x7c036cc5, 0xb018e54f, 0x7ba660ab, 0x1cbd7675,
+    0x31983bc7, 0x363b4181, 0xde5ef354, 0x72156ce2, 0x4c1bd3f7, 0xcc07f51f, 0x651b5bae, 0x6766318b,
+    0xba5bf930, 0x2d1484cf, 0xd88de870, 0x7574ae17, 0x3796b3e2, 0xf6390411, 0xc12fc357, 0xd57ee5e9,
+    0xc7b94aa9, 0xb50a58ca, 0xf506bbff, 0x558cbb35, 0x5718162f, 0x0e34d3c2, 0x8ef1b5b1, 0x10874c1d,
+    0xf07bb82b, 0xf87b57d1, 0xa60858a9, 0x2caba629, 0x9a4e2718, 0x4e5e2771, 0xc9ef4f9c, 0x041633c0,
+    0xec441e3f, 0xc945106d, 0x2af3c96b, 0xc4a511e6, 0x6e32d05f, 0xb309ef2d, 0xd2eb648b, 0x95ce88df,
+    0x989803b1, 0x26e33d20, 0x9153e3eb, 0x0cf137ec, 0x6cac7b77, 0x779679f5, 0xf2296ec5, 0x38e2b0ab,
+    0x29010231, 0xa80278d4, 0x950c7f5c, 0x112ff81e, 0xfa46af71, 0x47f6ba29, 0xc1f49612, 0x154e98db,
+    0x97551be3, 0x1f985eaf, 0x470aa09a, 0x87fc2577, 0x194d5c64, 0xdc0d73f2, 0xc41e48e0, 0x90e85e11,
+    0xd72a932a, 0x8958359e, 0x5d00daca, 0xb1b92d74, 0x1b19533d, 0x68dd3e84, 0x687dab5e, 0x604f6e11,
+    0xb7892971, 0x420f9e46, 0xee944dc7, 0x7c52a607, 0xf2300201, 0xd5f10b22, 0x038ce9c9, 0xa188e840,
+    0x26ed95ef, 0x3c3837a6, 0xe90d21ff, 0xecb6bf64, 0x2fb86a5d, 0xa83919bf, 0x2b83e0f8, 0x15c6eefc,
+    0xc7411f84, 0x206453ba, 0xbf50cf17, 0x0b096be9, 0x4e96f230, 0x4e469243, 0x2ffdeecb, 0xee67d077,
+    0x779a3e0a, 0x47e62b2b, 0xa2daff2e, 0x1b1e4560, 0x8dd89da8, 0x3a6e0d61, 0x8c27a283, 0x80a74980,
+    0xbf708f12, 0x649bd27e, 0xff5ab9f4, 0x660e6b28, 0x8303069b, 0xfc96b8e8, 0xd87c23fe, 0xefcb4bc5,
+    0xabac4972, 0xfd008934, 0x1f2f0731, 0x55c793a3, 0x9a24f1a1, 0xc7f754e6, 0x49a2cd21, 0x31724da5,
+    0x8d743fcf, 0x5941b962, 0x9966e5e3, 0x43543551, 0xa1a71b2e, 0x17d70f86, 0x6dc2bb27, 0xc02c6335,
+    0xe9cf86d3, 0x2eb542d1, 0x0a4868cf, 0x329bfcc0, 0xab9dbf66, 0xd4254845, 0x64318410, 0x72647455,
+    0x923861d7, 0xd150a1ae, 0x5559bbdf, 0xadbf4ca2, 0x4d2425b5, 0x55117042, 0x745e6680, 0xb6274a71,
+    0x84999c9f, 0x0f3fd6b6, 0x323eba3e, 0x35b63312, 0x011c9362, 0xb8c44847, 0x5f9fb843, 0x8e3f8328,
+    0x25656320, 0x42239f1a, 0x8db09bf8, 0x5d805483, 0x1d8fb97a, 0x893ec4e7, 0x55e83b9b, 0xb3df5bc9,
+    0xd7510a76, 0x3c4da256, 0x349ec723, 0x2aa1fa54, 0x36cc8ef7, 0x22b9ad4f, 0xf282db34, 0x90747d41,
+    0x38e5e6b5, 0x5941d31c, 0x1fee676b, 0x2fa9704c, 0x80432179, 0x0af424b5, 0xd50bd675, 0x08129147,
+    0x4526acdb, 0x567ec89a, 0x8b7cb300, 0xcc054ec6, 0x56175025, 0xe4a8adaa, 0xbde8c216, 0x0b45bbc4,
+    0x30d98eac, 0x0d12efd4, 0x77a3353d, 0x5703e2ec, 0x2ac3d155, 0xbf1433ef, 0xb27f6f7d, 0xd2ba232b,
+    0xca75c208, 0x7f4963f9, 0x47e85125, 0xd7bfe018, 0x568c0549, 0xfcbbc803, 0x865d0185, 0xd4f06570,
+    0xbdc13499, 0x954d9c25, 0x8ad3b4c0, 0xe24bf3ba, 0x51d10e8d, 0x6ee6b4d2, 0x5f9e9895, 0x83a14b7e,
+    0xab1a5f45, 0xe0fe157f, 0x5e9974f4, 0x8959f06d, 0xca0f6b09, 0xfb9c1966, 0xf3ae6090, 0xbd6b1b43,
+    0x48c0dc19, 0x4db73bd0, 0x2a847542, 0x204dcaa4, 0x7ef7a760, 0xf49d6584, 0xa0fcf5d0, 0xd2730ff4,
+    0x3a08fa81, 0x8afed7c1, 0x7dd918d9, 0xdafb110f, 0x8ef9686e, 0x3f99477d, 0x070daba5, 0x0f5196e5,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000310827022\
+                          75611665134711390509176302506278509424834232340028998555822468563283335970816 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6,
+    0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4c, 0x5f335e03,
+    0x00000000,
+    0x904cf330, 0x02c25e04, 0xcaa411c1, 0xd5f9f68d, 0x26328d63, 0x6ab4a94d, 0xe1286b19, 0x854ba141,
+    0xfc616538, 0x83a92ec9, 0x54dd8c45, 0x047a9577, 0xa56e852d, 0x637c7ed9, 0x537a0289, 0xbab9881b,
+    0xe2ca3fd1, 0xa67706ca, 0x5f23d578, 0xb9fa44d4, 0xd50931ea, 0x91f9ff2c, 0x51cf8964, 0x0f42f1aa,
+    0x20f3aa20, 0x134947ef, 0x9ef2fcb7, 0x8706e56a, 0xedb8c785, 0x0a6ab25d, 0xb3f39bc9, 0xa2c72eb1,
+    0x75014ae9, 0x6da6deec, 0x9aff456c, 0x36ecd48a, 0x9d009620, 0x5b734f9e, 0x6d1c8460, 0x34e4655d,
+    0xaa60b794, 0xd98ed755, 0x5e29a33f, 0x28d7bf8c, 0xb5ae077b, 0xc0bb01d9, 0xfdf6a450, 0xd90be49f,
+    0x1a19d3a3, 0xe04eaed1, 0xb4dc2d0f, 0xdac24240, 0xefbe0082, 0xfb212d5a, 0x042fddef, 0x348f0c80,
+    0xa401672e, 0xd0ece495, 0x1f162a42, 0xccc4dbcb, 0xb6be78d6, 0xcb118c85, 0x30738c4a, 0x164b2a69,
+    0x8325e8af, 0xd345e480, 0x3602e740, 0xcd5910a3, 0x7ff2715b, 0xffb2b89b, 0x1390744a, 0x84ada441,
+    0x012f519a, 0xcc18111d, 0x4b9fddde, 0x3e0ab030, 0x00d93dc2, 0x979e2132, 0x6eac340d, 0x0a9aba72,
+    0xc769853d, 0x22acfd5d, 0xccff6b7d, 0x266261ed, 0xf0f89668, 0xdf70efb4, 0xb36ee182, 0x8805ed13,
+    0x4956f189, 0x256f4917, 0xc16a5131, 0xa68957bd, 0xfb9186ff, 0xae715679, 0xe2044cff, 0x8403d753,
+    0xa83cbfd6, 0xca9125f2, 0x6e1333ed, 0x6643b0ba, 0xa1e603e9, 0xe302aed4, 0xafff502d, 0xd695bf1c,
+    0x7581b418, 0xf2094147, 0x35094d55, 0x3963ddef, 0xf093e36d, 0x2faa7c8b, 0xa6c5c90c, 0xab3af283,
+    0x84b64be3, 0xd0cdeeef, 0xcb33b46f, 0x84261385, 0xd5ed31e3, 0x61bdf099, 0xc3e429c8, 0xacf508ec,
+    0x58da2458, 0x044f83df, 0xdc9b260a, 0x02ce38b7, 0x8d9802bb, 0x06e16f8e, 0xd3326410, 0x137eca3b,
+    0x5780f8d3, 0x3faf1386, 0x3870130b, 0xd4c17de2, 0x1f3bad86, 0xfa117a11, 0xcb7ecf29, 0x578d373f,
+    0xe8b74508, 0x8461c4bc, 0x531547cb, 0x24cade6c, 0x4fd2bb57, 0x28f7ca63, 0xe2356071, 0x5955870a,
+    0x672ca925, 0x57581d6e, 0x1670388a, 0xd8cb8efe, 0x49e46264, 0xa01b54ba, 0x4df7c5db, 0x55460325,
+    0x4e25db3b, 0xd57731b4, 0x24562249, 0xee4378de, 0xdcf9cf81, 0x11329b87, 0x7423ca63, 0xe9fd1061,
+    0xf1b71346, 0xa67d8324, 0x7c76f3bd, 0x2327da8c, 0xa25bffa5, 0xbc8a2bdf, 0xd10f8d4d, 0xaf0717e8,
+    0x6ee7e94a, 0xe978fa2f, 0x1a8f0a21, 0x0e519439, 0xca36bdee, 0xb9737955, 0xebaa163a, 0x36e59e5b,
+    0x93236223, 0xbcb344e9, 0x2b75c512, 0xf4edaade, 0x136d60ef, 0x945f940e, 0x80402c7c, 0xb213b390,
+    0x894120c6, 0xe03e6a36, 0x239f45d6, 0xab7e0415, 0x1adfb087, 0x7279e18f, 0xd358316b, 0x1808f653,
+    0x57448894, 0x97be7d64, 0x1fb24130, 0xd0eae394, 0x06c16a76, 0xaca3e30d, 0x9210c783, 0x2c17a39c,
+    0xc2b5372d, 0x0e5c64c6, 0x1518d095, 0xa4edd999, 0xdf3510d2, 0xe1846a93, 0x372a5156, 0x2ecc9863,
+    0x253cc806, 0x2e78bea4, 0xfafe43e0, 0x07867c36, 0xd7f7d7b8, 0xd8b03334, 0x4586116a, 0x7fa0d9de,
+    0x010d24ca, 0xe96286f5, 0xeb00cab6, 0xf6a9b8f1, 0x00c6ce22, 0xce96d14c, 0x69ecb89a, 0x6dcdb6aa,
+    0x84672b74, 0x7fb4a83c, 0x0dcec94d, 0x90dda37e, 0xe7cb9900, 0xffa7c03f, 0x75956e43, 0x595a2f69,
+    0xd01e2a67, 0x99922ff0, 0x05e2662b, 0xbb45d15a, 0xed4c61d1, 0xabd2c631, 0x7a5522cb, 0xc3d6e81a,
+    0x5d1e1a51, 0x7fc83027, 0x34c4c40a, 0x581ab311, 0x1bf98e43, 0x3f3f0696, 0x7204ad0f, 0x23807c8e,
+    0x1f611337, 0xf960ac90, 0x2c21a949, 0x0748ae33, 0x7555f562, 0x8d15629b, 0xbf93c0ee, 0x42ff4e5c,
+    0x5f0598bc, 0x40ab41ae, 0xb3a7b3bf, 0x84aba447, 0x6f5f69c2, 0xeec3de2f, 0xdc6d7ca4, 0xb678f667,
+    0xe4b3fd96, 0xcbc3ff49, 0x2dc9a785, 0x6e584913, 0x585500b2, 0xd7638d41, 0xe5876f5f, 0xf4acd640,
+    0x068eb7bf, 0x66ce210f, 0xf15181a9, 0xd945584b, 0x417b05d4, 0xcf3692ad, 0xb15dfbf9, 0xc97a7737,
+    0x32483c30, 0xe40af109, 0xd4c8bdc3, 0xa9596b26, 0x3cec5bc2, 0xbd3556fd, 0x90c96f78, 0xc57b2d00,
+    0xed422c91, 0xf7d71892, 0xd953aa22, 0x784b941d, 0xcd43d83f, 0x280bb0da, 0x79018cb7, 0x43beb893,
+    0x2efaaeea, 0x8a52d624, 0xe36e310a, 0x84246467, 0x91d3cacf, 0xd004482a, 0x836b03ba, 0x2227ef34,
+    0x01ce65fd, 0x95dee85d, 0xc282d25c, 0x6c6244eb, 0x71ff63df, 0xc49c0142, 0x58c30bd8, 0xd01cb375,
+    0xe12ca2d7, 0x83ab4040, 0x48072f24, 0xeab753e4, 0x147af968, 0x510192b6, 0xedbec351, 0xa5a8bccb,
+    0x48ca3925, 0xef7a5b50, 0xc12b5778, 0x9349e3f9, 0xd572e238, 0x72f21239, 0x96b1c471, 0xa8f459d6,
+    0x821bb504, 0xcaad4c02, 0x334fc588, 0x8ddb3855, 0x36febe08, 0x24c0f933, 0xd068110d, 0x582c4cc4,
+    0xa124ebd8, 0x231e9d27, 0x1bae3016, 0xd4188bce, 0x29141d89, 0x0858ed2c, 0x69d83600, 0x3154c3a0,
+    0xcc573b96, 0x4d6bedca, 0x3a50ce6e, 0x9a8f740d, 0xc9a60552, 0x26d088ab, 0xca728938, 0xa42a4d9f,
+    0x159810ee, 0x0148699d, 0x63142536, 0x6e81ced6, 0x6635e50f, 0xfb13baa6, 0x199f32e6, 0xeff7524b,
+    0xd7be2897, 0xae850e9b, 0x24bb60e2, 0x9bbbb66e, 0x459ec8d0, 0xec02a663, 0x68c3f199, 0x242b1373,
+    0xec93299d, 0xc31635f4, 0x645f2186, 0x62f29e9c, 0xb862e581, 0x2a22489a, 0x6d6f08b8, 0x328ee565,
+    0x135fd38d, 0x658428c4, 0xc4ea0b92, 0x215a6ad4, 0x58bc58b0, 0xf7635d9f, 0xfe4f886f, 0x6d1bde10,
+    0x80d0fe3d, 0xeec71dec, 0xb834c70e, 0x9378b70a, 0x9dec7891, 0x90af7fb1, 0x7c18eb24, 0x6c3e8826,
+    0xdff1d025, 0x0c95cbbd, 0x493b4a77, 0x5e3e6915, 0x03bda0d1, 0x4f39e88f, 0xeff044ea, 0xfccb3469,
+    0x98d9a9b3, 0xa6559d44, 0x1b18e63b, 0xd7a8cc33, 0xe82fcb43, 0x0a3eba9d, 0x05952719, 0xf523870a,
+    0xb75afd2c, 0xc0178094, 0xbafbacf3, 0x2a0a2953, 0x7b95cf28, 0x47642c1e, 0x1522aa47, 0x62057e08,
+    0x0b6dc5c8, 0xd042dcda, 0xf44f2d8b, 0x5680742e, 0x70b362ef, 0xa1cd7e1b, 0xbf83cecb, 0xd714ae52,
+    0xbf2a7792, 0x01d0df38, 0x23845b30, 0x2976eca2, 0x783bf567, 0xddeabf80, 0x8e22a55f, 0xd0454389,
+    0x0d6f8edb, 0x80ea1287, 0xc408132f, 0xfaf2bd29, 0x04ab7380, 0x45ea14e3, 0x9cbef9e2, 0x9790f072,
+    0x215db66b, 0x5550a7a5, 0xa96be20e, 0x4eaea063, 0x13bb1dd4, 0x603c62b2, 0x67b7dfd3, 0xe2f550fc,
+    0xd6c92347, 0x10447fdf, 0x32a0a985, 0x68d1a26d, 0x0a8d66f8, 0xd628007b, 0x50845213, 0xd135ef80,
+    0x456fbd7a, 0xf59c62f7, 0x99f7f834, 0x489eede8, 0x49f20cf9, 0x892b9bb7, 0x03fb0547, 0xfae7d8f5,
+    0x80be6d8d, 0x83416e53, 0x871d308a, 0xa9ae6df1, 0x936fea5d, 0x1262bcf3, 0x79359e4c, 0x59f1e873,
+    0xacfdec12, 0xb355062c, 0xd530e371, 0x39dff015, 0xb20338e2, 0x1164b182, 0xfccf8ee1, 0xe60c1cc0,
+    0x08819f38, 0x62592e1b, 0xb5f81ada, 0x0d3ec597, 0x1624eccb, 0x13249e37, 0xbe0fd33c, 0xdd79b994,
+    0xee46bf8c, 0x712e0df3, 0x5912f84a, 0x7066acee, 0xa1e891d4, 0x171459ad, 0x030f115d, 0x1a5d649b,
+    0x6591c59c, 0x54b4ec76, 0x3ffbe4d9, 0xf5cd3bd1, 0x82867c25, 0x8f8b25f2, 0x8ca76dd3, 0x3e7acf38,
+    0x749f8e8c, 0x7aeed0bd, 0xdf1d2180, 0x0796bb7e, 0x25efa3cd, 0x02e86533, 0xd6bb68bb, 0xc99a171b,
+    0x7777283d, 0x4a42353c, 0xe16c52b9, 0xc0ef15e9, 0x31313423, 0x525a474d, 0x513ea001, 0x89f915ca,
+    0xa2a262bf, 0x2aa07b33, 0x1ec3426e, 0xef2f2899, 0xc9426eb8, 0x9b846368, 0xd9ac5b29, 0x2db4ab77,
+    0x9a215973, 0x3be9ff2a, 0x83dfcc27, 0x32cf88c5, 0x36795912, 0x25b159ae, 0x87d40f6f, 0x440deafb,
+    0xc20e028a, 0xddf9eebd, 0x43e6618c, 0x26a3e0af, 0x6e4ba44f, 0x7463e4a2, 0x3d8e50b6, 0xef484cdb,
+    0xbc3a9377, 0xafe8ad9f, 0xe964af29, 0xa1b7b48c, 0xe8174e7a, 0xc19935de, 0xde86f115, 0xa68654a3,
+    0x222e7c38, 0xe8913ca8, 0x5379834e, 0x17141c76, 0xb9136634, 0xabe598be, 0x5843dfb7, 0x3aae9774,
+    0xde024703, 0x48cfe77f, 0xc76c12b0, 0x990ed07c, 0x0bcd8398, 0xc9692c64, 0xf505654c, 0x26994c7d,
+    0xbe61c313, 0xebe948d4, 0x59626c25, 0xb38768f1, 0xdeacc640, 0x9557f572, 0x055e0ee5, 0x77b0325e,
+    0x7a0b0e69, 0xe5729a28, 0x9fa9ff8b, 0x95291c74, 0x7410c497, 0xf2218248, 0x575fcf87, 0xb6c20356,
+    0xece11598, 0x90be628a, 0x18b3224b, 0x78460186, 0xac7bee8d, 0xe24b0772, 0xc55e69c4, 0x73c4db9a,
+    0xcdf9536b, 0x3fe4352b, 0x903076e3, 0xa579f084, 0xce18beaf, 0x03149bdc, 0x90977cf5, 0x4bd6498f,
+    0xabee46b2, 0xa51def13, 0xd54052f8, 0xeed405e0, 0x9c2c689f, 0x07e74c8c, 0x621a9ca7, 0x0e9c757c,
+    0xcde4a6bb, 0x0d7d0c44, 0x0eecfb80, 0xcbaef943, 0xb088a8e4, 0x68f44e09, 0x37b9a3ec, 0xda384439,
+    0xbf3d56af, 0x97d92a5b, 0x6ee88809, 0xc8218574, 0xc6046794, 0x364fcc7f, 0xb6f914b1, 0xe2452f63,
+    0x320fce6d, 0x90da6d26, 0x604eafd7, 0x5bab4a0d, 0x5f40fa78, 0xc143815a, 0x1c48b1d8, 0x2d16609b,
+    0xd14e1a7a, 0xedffcaa0, 0x7098dfc5, 0x648b0806, 0x3080fe34, 0x3c8f50c2, 0x9ca3a9b9, 0x3fe2e7dd,
+    0x2d00c7de, 0x48d643ab, 0xb3a7a285, 0x89f4b617, 0x22052024, 0x6e120306, 0x657f0300, 0x7ff3c988,
+    0x3f0efbe3, 0xc0cdb27a, 0x5a22b49e, 0x3ed9cd4b, 0x01d81d8a, 0x9080a96f, 0xdc15b54f, 0x3f41d227,
+    0xccc60e86, 0xab68fe9a, 0xb07e2738, 0x953580de, 0x664c9216, 0xc854e568, 0x0dbd2023, 0x7d0c7e9f,
+    0xda1cf799, 0x6a672c35, 0xe60068f6, 0x559bfbbb, 0x59338482, 0x38d3570c, 0x31d0441c, 0x50cc3d6c,
+    0xbb88c19f, 0x7c9b9054, 0x4d0ea81f, 0xe90d9161, 0xd2778505, 0xa663f3aa, 0x00ac078b, 0x89f817af,
+    0xcdfcc87b, 0x71c06f49, 0x6062ab77, 0x5a19e912, 0x87cb1441, 0xac78d183, 0x2f31d490, 0x3bb2b237,
+    0x6fa90a24, 0x7fc73634, 0xbe3a7260, 0x9e33f96a, 0x95f1ff6a, 0xf51fbb33, 0x272ed774, 0xca9d0e87,
+    0x94a29957, 0x6fc5a85d, 0x1af04dfb, 0x47c8d0b7, 0x0f946d1d, 0x92e2d141, 0xc3446482, 0xee190d0b,
+    0xf14553f2, 0x86e562ac, 0xce512eab, 0x0e830802, 0x8b73ec4f, 0x94887c57, 0x7c74a93f, 0x9cade939,
+    0x289c90a5, 0xd6d3feb1, 0x9b8db925, 0xd5ed4aca, 0x592daa9b, 0x8d4dd881, 0x0e08609a, 0x134d733d,
+    0xf869a674, 0xb0ec5b77, 0x306a16b3, 0xb65a1bbb, 0xbf17f9ee, 0x2f2729c7, 0xd668c79b, 0x57eff010,
+    0x0f1ba752, 0xc96f0462, 0xd61cb836, 0x25c362f5, 0xbd20b1b5, 0xe35a1a5d, 0x99b72d6f, 0x1ca09d8b,
+    0x84523c14, 0xc4556d01, 0xdc478aa6, 0x4550860b, 0xbcc2554e, 0xc7057932, 0x47526432, 0x4a2f67f4,
+    0x4d2ff9a0, 0x82fe8bfa, 0x2f4c69a2, 0x00dff0fd, 0x9fb1a516, 0x631f32de, 0xd7840149, 0x413c1130,
+    0x8020a245, 0x4df5e7c7, 0xb5996ead, 0x86978455, 0xf529a339, 0xbe588adc, 0x12db343c, 0xc231e188,
+    0x4ac49a58, 0xdf8847fa, 0x7e720c23, 0xdd1f0bc6, 0x0ad79b78, 0x6d21c742, 0x60ef4b0e, 0xd8f01355,
+    0x15c9013e, 0xa151629f, 0xdb159430, 0xe7ad25a0, 0x9128d65c, 0x23ba0d82, 0xafaf8dce, 0x7abe09a7,
+    0x61db3e38, 0xdac0d085, 0x847201e3, 0x7b1609c6, 0x06ad314f, 0x8379c6de, 0xcc1a4640, 0xe0254c28,
+    0xb186e34b, 0xa899e20a, 0x1726eef5, 0x6252ae7e, 0x9bec9bef, 0x545f9567, 0x0027621c, 0x68c3e7fb,
+    0x0054cfc2, 0xdfa55982, 0xdd0e1f74, 0x6946b07c, 0x511f6934, 0x23168258, 0x7f09fdf0, 0x0b0804ed,
+    0x7249e8f2, 0x7f99dd5c, 0x79c7a6bc, 0xb1c4241c, 0x4cfeadb7, 0xd88ff17b, 0x7ec9fa70, 0xa374ad2c,
+    0xbaa4d6bf, 0xeceee79d, 0x85541b85, 0xd6feaf40, 0x1edf0590, 0x27bc743b, 0xbfd90e73, 0x85235e1e,
+    0x5aa72250, 0x6765c596, 0x437f048c, 0xebb237ca, 0x09a5e210, 0xae1c34c0, 0x8ecc0d44, 0x9a52f469,
+    0x6b3bad84, 0x00ccab59, 0x9bf8d51c, 0xff84a57c, 0x14f2102d, 0x164d2baf, 0xb94dd2f5, 0xd324af7a,
+    0x1a817dc7, 0xc8d6c4ec, 0x1ae34d09, 0x35b2b1fa, 0x537f656c, 0xb8c7f0a1, 0x7fcc1c11, 0x525678c7,
+    0xc1e4d0b7, 0x12e3291f, 0xa47012da, 0xc3bd2a03, 0x9f6b12f9, 0xe9a128e5, 0x833b3957, 0x90558364,
+    0xfe68e636, 0xf39eb7f2, 0x399aa698, 0x05522925, 0xf8ccd0b4, 0x21916a06, 0x2e761a9b, 0xaea17622,
+    0x4faff466, 0x883953ad, 0xb0fe51a3, 0xa2e1bdcd, 0xf1e1e308, 0x0f2e49da, 0xf2f9147d, 0x2b0cd8f4,
+    0xda57bbc8, 0x445d0691, 0x9996c888, 0xb5e5dfe3, 0xa1a8fc29, 0x8b6e2157, 0xcdab41f5, 0xccc4562e,
+    0xab7d92ec, 0x574d472e, 0x52930b60, 0xd689ef1f, 0xe89519c5, 0x6d53c682, 0xbcb6ae8c, 0x6810cb9d,
+    0xb0569227, 0xb2fcf4a8, 0xd07ef83c, 0x2bfcb647, 0x10900b89, 0x4fe00a74, 0xaad864fa, 0x62e8fb7c,
+    0x994ebe6d, 0x4d6f9ea4, 0x362529d1, 0x09841422, 0xba1de5d3, 0x8c4e15d0, 0x23c0556c, 0xf9b615ae,
+    0x7e9afccd, 0x9ceefe81, 0xe12491a4, 0xa481d1d3, 0xd40783f7, 0x99988a81, 0x488b54b1, 0x324c9017,
+    0x594b0367, 0x75a6c030, 0x12dacf74, 0xd2edae06, 0x62c53e9c, 0xf9afbef7, 0x4509a41f, 0x4ee6278f,
+    0xdb7f0fc1, 0xa3bab8cf, 0xa5d7cd62, 0xe1a1c013, 0xc1517493, 0x62e17ee8, 0x0d7e6731, 0x9b1f277b,
+    0xfe2c1f91, 0xec043a81, 0x6f12006b, 0xcdbf0cdc, 0x1fcab586, 0x1a67d419, 0x3910dc6e, 0xedeb8c5e,
+    0xedcaaf59, 0xeb1cc89c, 0x97422318, 0xd2c4af45, 0x15be91f1, 0x6390e3d8, 0x68ce7508, 0x20c0aa2c,
+    0x534cdffa, 0xf48d1158, 0xd7a76237, 0xc8276290, 0xec62b1bd, 0x6b695d0c, 0xb12d7978, 0xb3028a81,
+    0x832c0b00, 0x12d6a240, 0x279de196, 0x4e9add36, 0x27c10e46, 0x33c9539f, 0xc6f8f244, 0xa0cb3534,
+    0x51aa989e, 0x57866751, 0x87d43e7b, 0x751d4bc7, 0xa0841c94, 0xea9a16a8, 0xfcab971c, 0x1f44226d,
+    0x8352a179, 0x54b397c1, 0x9f20426e, 0x68e18f60, 0xa3fa12a4, 0x0964103e, 0x173e6846, 0x6f8bc813,
+    0xe517446a, 0xc87a7d4f, 0x5356f1d1, 0x7c8866f5, 0x933ef091, 0x8fd78495, 0x009a1716, 0x9cb435ce,
+    0xbff22dd2, 0x932c425b, 0x29f15817, 0x060dc611, 0x722b7b9f, 0xbba4d250, 0xcdfc123d, 0x848175c2,
+    0xa55f3d99, 0xcd8e3247, 0xdc583624, 0x7cf4ddac, 0x6bd571f0, 0x805ab60d, 0xa8cae035, 0x3f3edb2a,
+    0x1d3203d1, 0x323613a9, 0xb48440e5, 0xa8dd0acc, 0xbf79b945, 0xe57644aa, 0xe3379d9d, 0x3b5ddb67,
+    0x8868e1ef, 0x4fff3635, 0x6d2b0ac6, 0x9685a466, 0x1ee363ce, 0x50ee288f, 0x8249a838, 0xc830dc81,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000155413511\
+                          37805832567355695254588151253139254712417116170014499277911234281641667985408 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b,
+    0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a6, 0x2f99af01,
+    0x00000000,
+    0x87e7f7d8, 0xeb1938e8, 0xb8eecc35, 0x2bf7b3d2, 0xa7e30a7f, 0xa684391b, 0x09761bfa, 0x96e61ffd,
+    0x1e34f674, 0xd5c8c6fa, 0x2cd82133, 0x1f9f1c27, 0x9be846b6, 0x49a77d3a, 0xa6b1dead, 0x01f52151,
+    0x30d99d88, 0xf40567ab, 0x8cad2228, 0xa6fffacb, 0x08ccb0b1, 0x03887ae6, 0x25e950fc, 0x24dfd7e3,
+    0xe596e07d, 0x8cea2042, 0xe144b3e5, 0xfcf41b74, 0xd65903c1, 0x60171207, 0x8772e35f, 0x5b6c625e,
+    0x4f62a28c, 0x38738b8f, 0x7521199a, 0x28d257a3, 0xe72cd392, 0xee6b1ce8, 0x0708f637, 0xc170087a,
+    0x378774e5, 0xdd464f7a, 0x3810c013, 0xb9a5fc18, 0xbcfbab3b, 0x315049ec, 0x2593ab5b, 0x2b216c4b,
+    0xe18f3237, 0x54843cbb, 0x33544711, 0x6aedb474, 0xb9ab8839, 0x5df3a2f4, 0xb2c300e6, 0x134c9f7f,
+    0x032535b8, 0xa8ac8256, 0xcdb07ae1, 0xea43895b, 0x77017482, 0x7367f662, 0xe96e789f, 0x12d0e43b,
+    0xebb6ab09, 0xda89571c, 0x3eba556a, 0x861315de, 0x6d248cff, 0x10c2db1c, 0x4fbbcf16, 0x389883dd,
+    0x17bca9b2, 0xc25b1555, 0xef2e46a8, 0xa83986bf, 0xf19164fb, 0xc8f83c7f, 0x892fd493, 0xfd773483,
+    0x9bbfdcb8, 0x37dd8fa1, 0xc631a8bf, 0xc9512215, 0xa5fef23c, 0xe0b44811, 0x83c1fa8b, 0x22ef5934,
+    0x778b88ce, 0x14064737, 0x8b4991a5, 0xec81c7fc, 0x697efe7a, 0x8e0b95f1, 0x15f938a4, 0xe2c226f8,
+    0x8db83a4b, 0xc4c9b4f4, 0x17915bb5, 0x7731d87f, 0x8e156738, 0x38728fe6, 0x17aa6461, 0x7b0e839c,
+    0x1f4212dd, 0xfe1bedf8, 0x59dced32, 0x47a167e0, 0xefc74344, 0x51f8b552, 0xc27b0694, 0x0c75acc6,
+    0x98b23e6a, 0x97b9f7ae, 0x74c02a3c, 0x055b7a9f, 0xad72370d, 0x72a524e9, 0xa1e55c46, 0xb04bd32c,
+    0x43c92fc1, 0xcbd50267, 0xa7d31f44, 0x12d8c156, 0xb0cb010e, 0x36136ac2, 0xfa774d52, 0x9d61379f,
+    0xf4b5e6f6, 0x89b07d53, 0x8f58fe99, 0xf052eb6f, 0xc42d7d83, 0xc0303458, 0x8d87711a, 0xd585483e,
+    0x86314759, 0x312d6461, 0x1efe4bc8, 0x8e517abb, 0xa42f91ba, 0xbe61d144, 0x0f4496b2, 0x58528d40,
+    0xdeae317a, 0xef1df9de, 0xbd1a5f7a, 0xc02e6caf, 0x65b843bf, 0x747ec82d, 0x7ea2921f, 0x8fecf2bf,
+    0xe140f24e, 0x9f2466d7, 0xfb3f0bc0, 0x491aaa23, 0x0f4a75d5, 0xcc4dd724, 0xafe3a39c, 0x51449294,
+    0x61a4b95b, 0x3e978632, 0x11a17438, 0x6a194c2c, 0x386aa20d, 0x515fffc1, 0xd45152f6, 0xe8593670,
+    0xf06f9656, 0x67e35065, 0x193b0846, 0x11dea281, 0x6c282eb6, 0x338b9b3d, 0x7cbbc062, 0x7aef5f7a,
+    0x4e5b0b9c, 0xd1b9e887, 0x5cae7c76, 0x2328a595, 0x0361a0ba, 0xcf14a83d, 0xc40adbe8, 0x14d6460c,
+    0x87df2907, 0xac667d20, 0x2137e124, 0xc0ec9a08, 0xf5700790, 0x0d532cee, 0x23ccf338, 0x109ba2f5,
+    0x499704cb, 0x2286d4b8, 0xfc1848d3, 0x3a3e56b0, 0x7609886b, 0x1ad46c8d, 0x76bc8ce4, 0x701e49c5,
+    0xbf8dd07d, 0xdfd58dc9, 0x9b61efdd, 0x870d5e5f, 0xea1834cd, 0xcbb63f1b, 0xf6755673, 0xf5fa8e77,
+    0x71d13ad5, 0x518b5ee6, 0x24922bce, 0x510647e6, 0xdba2927f, 0x9b3fe026, 0x3ad770ca, 0xfb615ffb,
+    0xae8cbee5, 0x82832c3b, 0x9064f789, 0x4dbadac0, 0xaf18319d, 0xe175a43e, 0x669932e4, 0xc4a32d3e,
+    0x220a7f0e, 0xdbdb5fd4, 0xdaee1415, 0x9e6e5bdd, 0xd32fdefe, 0xa4844db4, 0xf3695f7a, 0x5b14ee89,
+    0x17576f1b, 0xeec5448f, 0x01a5a4bf, 0x12635c07, 0x9dafb556, 0xdc1f3d69, 0xd44cc6dd, 0xdfc24ebe,
+    0x6a95b83e, 0x977e74d6, 0x7f86b848, 0xcf310485, 0x18459b11, 0x28555cfa, 0x701b4577, 0xad5df42e,
+    0xb9e5fb75, 0xb93a4a70, 0x4a044e43, 0x12863fe2, 0x8311a42b, 0x3b441e9a, 0x33006fe7, 0xa7887e39,
+    0xc444b7fc, 0xe539253e, 0x3304a9f0, 0x1e7f3dca, 0x06fe0b62, 0x6e16a017, 0x2cdd6930, 0xcb3b5409,
+    0x8bf24b4d, 0x867ffa6e, 0x786f38bf, 0x6e1698a8, 0x6261d45b, 0x41fe0304, 0x35d82b51, 0xa58fe5e5,
+    0x49efc763, 0xec1a1dd6, 0x48cc4bcc, 0x16d93d71, 0x70443519, 0xc6ddad8d, 0x4da84599, 0xd6f68474,
+    0x62682071, 0x7199080e, 0xc9ce1e48, 0x2bcd7c7b, 0x74f8ef8a, 0x0e158ad5, 0x1d39e5b6, 0x9a9f247f,
+    0xb9244cff, 0x5e2cdd8c, 0xe4d29d81, 0xb6acbd2b, 0xba541fce, 0x73787412, 0x70024b3f, 0xc34f63d7,
+    0x4f5c6115, 0x52929824, 0x384fdcdf, 0xc2fc8bc3, 0x6bf062cf, 0x67ffaf1c, 0x367b3066, 0x9ebf1a3b,
+    0xa35a4928, 0x0d611723, 0xf50e599a, 0x679d6c88, 0x541a2591, 0x000cd58d, 0xc2cbf24e, 0x68c54688,
+    0x5e3477e9, 0xe07cacd3, 0x738a7f22, 0x10348a8e, 0x04a19755, 0xd83cf932, 0x47c6df3b, 0x76001275,
+    0xd725a521, 0x1e7d042c, 0x3d1f95d2, 0x5766c54d, 0xd74b866b, 0x99d60427, 0x89b5cf30, 0x23852e65,
+    0x459eec48, 0x751c244f, 0x62c4c08b, 0xa15953f8, 0xae4688b6, 0xdd071c7d, 0xbc522d08, 0x2631fb27,
+    0x533a0f4b, 0x4d81a517, 0x8fbd8dee, 0x170345a4, 0xba8b1f1d, 0xdca58999, 0x04f6db50, 0x66e49d1f,
+    0xe4fa1213, 0x7d94891e, 0xe1dfc2fd, 0x4ca5b548, 0xba90e1c1, 0x4c0910a6, 0x69d46037, 0xf5764c9b,
+    0x63ffaa08, 0x3e38291a, 0x39347a27, 0x0972ae96, 0x1390075d, 0x0a4eb3a5, 0xc85e438f, 0xe6ddc0da,
+    0x71343e0c, 0x94191585, 0xd2849cd6, 0xe8a33964, 0x8b5fa16b, 0x46cc56a9, 0xd226f8c6, 0xd6637f3e,
+    0x7d2e142c, 0x78a6976e, 0x64e791f3, 0x16bcf53b, 0x04329eb4, 0xaacbd2cf, 0xfd79f492, 0x3d273e1f,
+    0x50796275, 0x266235ff, 0x19f3f589, 0x1cd2a711, 0x84c3163f, 0x2e9dee3b, 0x62ad409c, 0x76583a20,
+    0x63b2d85e, 0xe91e5056, 0x4cd01aa7, 0x02aebbdf, 0x15fef208, 0xe54d8a97, 0xa0107842, 0x4149fa41,
+    0xe056c77f, 0x3c45181f, 0x5aecf8f9, 0x3f9df60d, 0x4a251a62, 0x53f26ffd, 0x55c84753, 0xf9d871a4,
+    0xbfff430e, 0x59a94e93, 0xfc8c2cc5, 0x924f303a, 0x22117217, 0x7a096b98, 0xfb6097ad, 0xbdc65619,
+    0x77e95285, 0x0b14aca0, 0x4fa63168, 0xdc0d7358, 0x1c7fe554, 0xf882a116, 0x7771a10d, 0xf662cac6,
+    0xf40c7b16, 0x9fe3a3a4, 0xeac842a5, 0x248e89c4, 0x09983a92, 0xbc99c690, 0x0b9b08ff, 0xbd6b6f00,
+    0x3207c622, 0xf653a9f4, 0x2cec4eda, 0xb906b870, 0x3fc3f7c4, 0xb62960c5, 0xeed93a3b, 0x4d597588,
+    0xfa3bbf20, 0xf0decdc1, 0x3ad36ba0, 0x78f0cf81, 0x061f79e9, 0x6400290d, 0x87314960, 0x6713c680,
+    0x17158506, 0xea3e7632, 0x07ba92f2, 0x360340e9, 0x8886804c, 0x36621049, 0x08af768e, 0xf2682f84,
+    0x45b1f03b, 0xfad13b40, 0xde647d6a, 0x388de3d9, 0x18e9e96e, 0xf1ec97c9, 0x1f0af893, 0x1cbcc74d,
+    0x7488df3e, 0x4b9d0bf0, 0xc7508ca6, 0x3c8a9f39, 0xffe7d1ad, 0x4103ab62, 0xf08ec18e, 0xcfae489a,
+    0x643315a8, 0x256c709d, 0x6ccb0ec8, 0xa40ce07e, 0x53ca461a, 0xe2111563, 0xf469a002, 0x034e7f6a,
+    0x1fb1fb6c, 0x6c41a6ba, 0xf82844c5, 0x0a232bc5, 0xbcc4b63c, 0xd38bf551, 0x6a9e2c4e, 0x5fa21d8c,
+    0x50b82730, 0x96f9b8f6, 0xe6f8e328, 0xc52afd47, 0x525865dd, 0x822aaab3, 0x2112db23, 0xe203e2f0,
+    0x9691eedf, 0x2119a1c8, 0xf6592954, 0x56152ac7, 0xc9baaa7f, 0xa10f5462, 0xd30b70ac, 0x9122533f,
+    0x2e45746b, 0x43e34ad8, 0x627361eb, 0xa1067e54, 0x1406a893, 0xb343dc64, 0x7c9c29fd, 0x1fc4fbde,
+    0x0d494b38, 0x39828be5, 0x0270232b, 0x14f16c4b, 0x3af8a9ec, 0x2ce1d486, 0x345b1401, 0x305c7d64,
+    0x025a5448, 0xdc669e02, 0xe2d4aeaf, 0x20171d32, 0x3758e1f5, 0x3e5c1b25, 0xb17f4e45, 0x7ef2060a,
+    0x632b6a15, 0x3505e043, 0x3ee79048, 0x2c540736, 0x92f62ed1, 0x6b39437b, 0xba82b3d4, 0x08619820,
+    0xfe3eb60c, 0x24a7671f, 0x24ebc372, 0xdc8d4e8e, 0xc7c5cec2, 0x2ea34f36, 0xf71412aa, 0xcec6f17f,
+    0x565e6140, 0xdfe57522, 0x799ef8b7, 0xd939992a, 0x1f1be40f, 0x4b07e72e, 0x82d1ebb2, 0xa6c0ba21,
+    0xe20a4030, 0xd5fc570a, 0x88714b8c, 0x80516f1a, 0x38af2b31, 0x4dae29a5, 0x3f32ba10, 0x2fbf3066,
+    0x6b716e51, 0xd6b80768, 0x5b7487aa, 0x87d63af3, 0x51196e23, 0x6556a470, 0x8d2f56c5, 0x0ef2cf01,
+    0x32f2dc73, 0x8ab81305, 0x780aec34, 0xdc11ec64, 0xa6af9043, 0x860eec50, 0xe213fe9c, 0x9bd47294,
+    0x0ee6aea4, 0x2a6133de, 0x218288ec, 0xbbe2571c, 0x9a8bedf0, 0x1d8745a3, 0xdf1a4a46, 0xe188ae13,
+    0x529bd8eb, 0x3e8fb3be, 0x046abad1, 0xf3aed043, 0x4c6a544c, 0x9f3a4be0, 0xfeba24f3, 0xc2a0bc38,
+    0xb9bc6e9d, 0xe1787453, 0x01886764, 0xd7ae0203, 0x8dcc0687, 0xa0f9086c, 0x864744e0, 0x0119393d,
+    0xd55edf35, 0x3d672bf3, 0x56f958ae, 0x5142ca01, 0xbdb556c7, 0x6c85e544, 0x66a5f2db, 0xcff97619,
+    0xbc44de31, 0xd3ca0e41, 0x7019e9a9, 0xee0f82ee, 0xedcc1eea, 0x0b7e254c, 0x57a57365, 0xb5bd2a00,
+    0x970993d6, 0x7bc3aec9, 0x31c4fdae, 0x74acd2f2, 0x6b60456d, 0x6a0581a6, 0x6596f458, 0x7ac86960,
+    0xf66aecf6, 0x97460338, 0x74e85501, 0x56a58546, 0x0efd6b27, 0xaf5df533, 0x4cc06f5c, 0xc0f2bd83,
+    0xeb1f5933, 0xb5e286eb, 0xed5620a7, 0xb269cefe, 0xc7fa2949, 0xe6e4db2a, 0x146b03ab, 0xa9f80577,
+    0x421ca1f6, 0xd8ab9d70, 0xfa80faf4, 0x5c05336b, 0x148e594c, 0x4c6b0f30, 0xa7792917, 0x3da0d775,
+    0x407000b4, 0xff25c1d3, 0x75b53998, 0xc8a31ff6, 0x108ec6f5, 0xa629bac0, 0xe991d901, 0xfe211301,
+    0x3c13fb64, 0xc0d6416c, 0xa7442d60, 0xf9e302df, 0xb1114d18, 0x213dcf29, 0x4d85826f, 0xfdef5f09,
+    0x4eebdef3, 0x2cf1546d, 0x06f337fd, 0xc1533666, 0x69200283, 0x87fb0c73, 0x59cd3ec6, 0x9c58255e,
+    0xe2d2fdc1, 0x33380916, 0x3892fb69, 0xb38227f6, 0xaec2b11a, 0x7cc36300, 0x7389609f, 0x3f076425,
+    0xe9b42f5a, 0x16dd7f59, 0xff913aef, 0x20c0c4e5, 0x3ba1292f, 0xe8eeeced, 0x900ed03a, 0xdb8d4bd5,
+    0x514ee40f, 0xc37e16ab, 0x0dd8a233, 0xf0faa797, 0xfe8672f7, 0xbd6bcb36, 0x378cc888, 0xafc5c114,
+    0x0bf8f5e1, 0xfe245f28, 0x4de59648, 0x8d1985e6, 0xc1b2b729, 0x88c350bb, 0x41c3bf55, 0xf86309cb,
+    0xa37fd782, 0x10ba3366, 0x8dd9189e, 0x72e934f8, 0x61bf4c82, 0x73f4334b, 0x653807f6, 0xb4bb18c5,
+    0xdeb712be, 0x7b065574, 0x8f03480d, 0x70c58bba, 0x6d4a3201, 0x6acc6fdc, 0x116215c6, 0x55bbc312,
+    0xb41d16d2, 0x848c6ef7, 0x86a1ea4e, 0x428b1c4e, 0xdcd82c7c, 0x3718018c, 0xcaa0fb3d, 0xf8053b96,
+    0xb0b7a9db, 0xb8c94a6a, 0xb8231d7f, 0x2dc29e80, 0xb33007b8, 0xee38ae2c, 0x1ca4de1f, 0xb5808d17,
+    0x801ecb9a, 0xac0e6d07, 0xb8877dc9, 0x878c404b, 0x946fa993, 0x90583554, 0x9d113660, 0xa98dfd9e,
+    0x32413e73, 0xdf8d08ca, 0x88729eae, 0x07c91cec, 0x6fa6d3e7, 0xe43a9c5a, 0x16d278cf, 0xc1bd6f8d,
+    0x03b5cacb, 0x9ea6f935, 0x11b97882, 0x14d51457, 0x9fa35d6e, 0x0a94eecf, 0x5c43f4f3, 0x87eb32ee,
+    0x44b5f82f, 0xfcd8cb79, 0xfa5d4b9f, 0xba5ca112, 0x80fa1657, 0x2b2ed27d, 0xab11d780, 0xdbd57691,
+    0x9332b2db, 0x57054e84, 0xc7336bb9, 0xab7e5583, 0xd37fa841, 0x7a2758a9, 0x1053ee1b, 0x9fc348d0,
+    0x1323ac4d, 0x15f1c269, 0x35596990, 0x8169d6e1, 0xbbd202fb, 0xc490d65f, 0x4501ec5c, 0x02d2b382,
+    0xb2db4adf, 0xc38a3857, 0x57fed6da, 0xc12c9ebf, 0x65ffb90e, 0x2cb8f2c6, 0x947ded35, 0xf17e3b1f,
+    0x0e830af1, 0x56217ed4, 0x4bbc6c44, 0xde7d8ee7, 0x51369cde, 0x1d5d406e, 0x6905efed, 0x0c8ad2eb,
+    0xbca09422, 0x4db29c01, 0xfd2bdbcb, 0xe8148283, 0xb8911802, 0x30539e8d, 0xc9f04203, 0x0af2af3e,
+    0xbbae9a15, 0x007b699a, 0xc7242bb1, 0x2931ef32, 0xd187502c, 0x90440239, 0x8d2272cb, 0xab80144c,
+    0x14926bae, 0x7191b607, 0xab794e53, 0x7f7c691f, 0x4e500932, 0xf8bf0b21, 0x59580bc5, 0x144f9581,
+    0xdcd0209a, 0x31c48c96, 0x89b88669, 0xa6d62f7b, 0x3e0f2b1b, 0x9790253d, 0xf09d996d, 0x823babd5,
+    0x18e52bb7, 0x880de63d, 0x57dcfce4, 0x0b927d9c, 0x42e41d25, 0xfbba9392, 0x25217fde, 0xfa75d57a,
+    0x8587e0d8, 0x448c1733, 0xdf93b95f, 0x149776a5, 0x608b24bc, 0xfa383ec4, 0x8daa8c38, 0x6107bb65,
+    0xbc850f50, 0x0a738b46, 0xb54fe773, 0x55e9af94, 0xbca6e5a6, 0x048c0c5e, 0x7391fd2b, 0x91203b98,
+    0x0636dee1, 0x56e0895e, 0x0e680f5c, 0x49569d29, 0xf64282b5, 0x4bfd721d, 0x1a2c1ed6, 0x520151dc,
+    0x959f15c4, 0xc9a9dfa5, 0x5dbc5fa3, 0x2d4f2b02, 0xd41c3a51, 0x8ded1fe7, 0xc4ba0e51, 0x17823a18,
+    0x89d1ea4d, 0x09cb1251, 0xc3f33971, 0x7ca8a24b, 0x6be3fb69, 0xe687ba99, 0x97949f78, 0xd53c1604,
+    0x43175257, 0x10285ae9, 0x3f8f58d0, 0xe3d0edaa, 0x3e970757, 0x13c272cf, 0x5b0e029c, 0x5d7ed32d,
+    0x3a1e9998, 0xe14d9e1b, 0x0c950a00, 0x4ebffd59, 0xb9de43ea, 0x4464adf6, 0x649cb303, 0xe4a58cd0,
+    0xbbcb44d6, 0x7907514a, 0x55d94402, 0x9879a27f, 0xaf053a7b, 0x7553ef2b, 0xff168c53, 0x4f4d7b97,
+    0x60b9fc05, 0x4705d22a, 0x20a6f3eb, 0xf8d4417d, 0x987962d2, 0x57fb4d8e, 0xbbe05454, 0xca170d45,
+    0x5c68544c, 0x3e73c577, 0xa2aa5c8e, 0x037c5ef2, 0x05988dc0, 0xde515409, 0xb0d1bea0, 0xfc666562,
+    0x3c689e9a, 0x6d117857, 0xcc01a583, 0xd21ce711, 0x77c9f5f3, 0xdee8163d, 0xb2665799, 0xd2f70f88,
+    0xe9e71c85, 0xe43c4b4b, 0x33b95b20, 0x0e642de0, 0x92cb919a, 0xddd3a955, 0x8765e512, 0x81b36fba,
+    0x6b4dc148, 0x01aefeec, 0x070aad43, 0x5f2a9f65, 0xca3af90a, 0x5d88826c, 0xd3e48ec9, 0x54578733,
+    0xe7e2a12c, 0x4923b863, 0x808dc672, 0x9dc25baf, 0xdcb5eeb7, 0xbd02ba95, 0xa59493b6, 0x391a4ef8,
+    0xfee0bfbc, 0xecdae6d7, 0xdf3e33c6, 0x0df338df, 0xc115658b, 0x1305d796, 0x9b0fd4d3, 0x2015ef60,
+    0xbc05896a, 0x1fb63fb1, 0x77e75923, 0x7465a415, 0xfcf2bf57, 0xf8b6a284, 0x8625a7b4, 0x4fd64087,
+    0xc5994e73, 0x920cf5d3, 0x76ef4db2, 0x417f1597, 0x7f34d144, 0x15465fb3, 0x4ec588a2, 0x03bb810c,
+    0xc075b114, 0x70a9baae, 0x5563e918, 0xb324f97e, 0xd4f6855b, 0x6f0c315d, 0x2a912c30, 0x2ee257fc,
+    0xb64a1021, 0x65706f9e, 0xd99ae5d6, 0x2ba7a6d5, 0x84c7f720, 0xf3b83df5, 0xc0d398b1, 0x8a849c6e,
+    0x7839d340, 0xbadc4d59, 0x73092347, 0x3d2d4e8d, 0x1722adba, 0x999defbb, 0x748a7dba, 0x68db625d,
+    0xbb7df508, 0x0c53b2fd, 0x02d542e1, 0xaf1066f0, 0xff3d5384, 0x60fa6f3e, 0xe10e070f, 0xb1c11ea0,
+    0x70ab46be, 0x15e438c2, 0x66a0eb8f, 0x453a5997, 0x8ce9fdc4, 0xe3d5f26d, 0x7481312a, 0x501544ad,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000077706755\
+                          68902916283677847627294075626569627356208558085007249638955617140820833992704 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d,
+    0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d3, 0x17ccd780,
+    0x00000000,
+    0x83e4d276, 0x21534742, 0x80f68772, 0xd8a3b33b, 0x74cc3b0c, 0x203cc4ae, 0x849a2ccf, 0x79998a4c,
+    0x5cd30be4, 0x92c556e1, 0x74206ce6, 0x8a9dac1a, 0xe697f390, 0x1a545d81, 0x694a447b, 0x009d9cc8,
+    0x62d78f8a, 0x3f9911a0, 0xc8e430f0, 0x6bcce6be, 0x190ccf0b, 0xb0b73a8f, 0x9f112e55, 0xd4c0cb7b,
+    0xef70000c, 0x563e48e3, 0x90bb00e7, 0xe00211e1, 0xcf5b334d, 0xd1af2a86, 0x3f502ff7, 0xb4488476,
+    0x1fb9275a, 0x457aba32, 0xc7999383, 0xf9bdfcc7, 0x991f9de1, 0xb9b3d871, 0x9acf25b0, 0x31ec850b,
+    0x8c543191, 0xb13f1045, 0x00111f9f, 0x41b06544, 0x4382c921, 0x66a1d1f2, 0x7165b6ae, 0xdeda619e,
+    0xc9a10926, 0xdc3e0049, 0x5fca4e33, 0x299bcaff, 0x6b5bf0ee, 0xaa84b627, 0x3e9e75af, 0x2948bc74,
+    0xa469a5c4, 0xf17f0905, 0xa72dbd64, 0x61ff4bbd, 0xee527d41, 0x37c84fc4, 0xa6e9bf95, 0xea7362b3,
+    0x566dc54f, 0xb25867e6, 0x371e81a0, 0xb7cae64c, 0x18ad93e0, 0xa58ec879, 0xc1deab62, 0xe018d3a5,
+    0x32c4ddcf, 0xa7fe0165, 0x581cb5ab, 0xc1ce6992, 0xa410ba3d, 0x23171314, 0x044556d2, 0x029298c3,
+    0x291ebac3, 0x5277fbfc, 0xd099e0fc, 0xbf1051d3, 0xf21838b4, 0xd5445dc3, 0x02811314, 0xdf9cc3df,
+    0x877bf9ac, 0x67b4fd8c, 0x59774dbf, 0x7f3df42b, 0xbbf453bc, 0x809064e9, 0xe58084d5, 0x9b5e6fb4,
+    0x38ec69eb, 0xc49c7306, 0x761d6f30, 0x642cea59, 0xf6188a0a, 0xc191d73d, 0xe7cbdeaa, 0x4aca8a53,
+    0x5aef946c, 0x47db4b61, 0x6de9f256, 0xb8ec3ea2, 0x9c0a99cc, 0x9c6be98d, 0x08a0f3c2, 0x00405ab6,
+    0x726889ed, 0x33e2cd58, 0xec9ae2c1, 0x55c442a3, 0x706f8c68, 0xb0e9c439, 0xf1fe8cc2, 0xb3458d78,
+    0xd29e4fe6, 0xadf042bc, 0xf1fce750, 0x5a5b1c6a, 0x4630776f, 0x30af6c20, 0xecfb91fe, 0x52ddfb8e,
+    0x50fac732, 0x0094bcd1, 0x386b419a, 0xd992bfb3, 0x26590eb5, 0x85aebe00, 0xc4148bbb, 0x1b3e7eb0,
+    0xc5746887, 0x64ebcd64, 0xb90f5835, 0xaa06b6b8, 0xc1f1cc26, 0x8b8efe8c, 0xad9bfc66, 0x24494cd6,
+    0x95c4c6ce, 0xf469f327, 0x7789bb4f, 0x20ed5ff0, 0x48aebcbe, 0xa0d27f17, 0x1b2b2f51, 0xecde8487,
+    0xad759035, 0x5a4d71a2, 0x3bd5285f, 0xec81736d, 0xcbdc586d, 0xfa14250d, 0x2c99d6a8, 0xcfcabfef,
+    0x9e512c32, 0x2a3063cc, 0x119f3550, 0x322e95fb, 0x5a90e996, 0x85ff3139, 0x224256b5, 0xc2b47adf,
+    0xd5b9bf3d, 0xb58e1657, 0xb5b14a54, 0x3fdada29, 0x6adc3547, 0xb381d673, 0x086de9a1, 0x92bd9dd7,
+    0x8fea63a9, 0xdae58c16, 0x34341b5e, 0xff66740b, 0x79d429ed, 0x160b0b03, 0x188f0e14, 0xebcb2028,
+    0xd2b97af3, 0x0b22888e, 0x2bc3397d, 0x97c56e30, 0x70583de4, 0x5c9c4a35, 0xbf0b8c1c, 0x84676093,
+    0x74fba5cf, 0xfd91ed91, 0x8d672261, 0x3d8ce1c2, 0xde7a727b, 0xec1cba7a, 0xf26520f7, 0x53128f9b,
+    0x743cd4af, 0x7cadef47, 0x21613b7a, 0xd0fb6e93, 0x97ffcd0d, 0x23222794, 0x50f5d395, 0x0d421010,
+    0x9fa54519, 0x58c029b3, 0x382513dc, 0xc4d9d1c2, 0xdd7619df, 0xe007e8cb, 0x3de7dfc1, 0xb0e7e4af,
+    0x4a4a9fdb, 0xd95a8fc1, 0x2d1c1df6, 0xa252d86a, 0xfa2c5ceb, 0x2e2e5e3f, 0xd862ad65, 0xc5ad90c8,
+    0xc759c916, 0x74b037a9, 0x1491b0a2, 0xe2a810e4, 0x353dd78e, 0x131d3bc2, 0x47b40fc7, 0x6af88ac7,
+    0x424523db, 0x47c8783d, 0x7400de97, 0x7aa88af0, 0x3c5c9e20, 0x24cc97e8, 0x05fcc9c0, 0x70f11492,
+    0xbf5dbf6c, 0x17aaae6c, 0x4b6d9954, 0xc1b8c406, 0x4b0abb32, 0x4d227c19, 0xcd7a4512, 0x175e78bd,
+    0xe9ed5503, 0x59028680, 0x054bebaa, 0x3f13b396, 0x218a978d, 0xdee09720, 0x06855c61, 0x894d3501,
+    0xc7bea731, 0x21202539, 0x18b65496, 0x9ab52dcd, 0xe09e3291, 0xc8f21d87, 0xccc17859, 0x6834c8b3,
+    0x6650a4ca, 0xea7557a5, 0x817d25c7, 0x88b6ef43, 0x6a775e92, 0x1ac73260, 0x12bcea1c, 0x4a572445,
+    0x45c33cbb, 0x43887020, 0xf5f97ed5, 0x61e0a169, 0xee1bb7ff, 0xac2d4d85, 0x6a8775bf, 0x8de1d805,
+    0x8626c1bc, 0xffc1a302, 0x5a72196d, 0xe17c78dc, 0x1abc64cb, 0xf7d2c2e2, 0x9fcb442d, 0xe0871004,
+    0xe1474cf1, 0x7c03dad7, 0xf7c8df98, 0x510ecb85, 0x2a9e7bc4, 0xdb72ff23, 0xedcba84b, 0x1fe62664,
+    0x9b8b93f9, 0xf538fcdd, 0x6272d602, 0xef4ad53b, 0xd27a4f23, 0x5355972e, 0xdef897f0, 0xa805556f,
+    0xd220ba96, 0x8d3c1f3c, 0x98dae5ce, 0x644e8648, 0x21eca859, 0x2d86c902, 0x6f683e87, 0x41da2da4,
+    0x3ec6f746, 0x15bee4d7, 0x6c5ffbf7, 0x7d0e36f4, 0xb61960a7, 0xa4a2eb2c, 0xca939894, 0x2763b328,
+    0xecb2eb40, 0x8598213c, 0x314fd60d, 0x3cba7ec2, 0x63f9932b, 0x1247010a, 0x0eb44c1b, 0x816b0cb2,
+    0xffef4279, 0x4ec400c3, 0xa07851b7, 0x95de12c1, 0x8685b13a, 0x983f8adc, 0x8a547770, 0xa13304d0,
+    0x898e96dc, 0x06603f1b, 0x8824d51c, 0xc964d976, 0x081060df, 0x8553a1c3, 0x8ba87cfc, 0xfcbc042d,
+    0xd110ddf0, 0xcc1dca0f, 0x8beb822e, 0x03d7aced, 0x903622ac, 0x4c2b5259, 0xcef6beb4, 0x2a4f95b4,
+    0x6820d164, 0x23f9dc8e, 0xdd66fdef, 0x1c5ddc77, 0xbe532fc9, 0x0466fdd8, 0xd2971aa0, 0x0cfda024,
+    0x48db68e2, 0xef80881c, 0xbcadd08d, 0x3e547810, 0xd2c074d6, 0xd2fc9b85, 0x23e49ac3, 0x91d69542,
+    0x8c3fb3c6, 0x0a141ea2, 0xc2f75f8b, 0xbc8cf474, 0xe13a5aa0, 0x266a54cc, 0xd0e92c98, 0x1a034867,
+    0x2f586457, 0x9d3ffc29, 0xe9bea513, 0x359acc4c, 0x10a9150c, 0xfb2ea629, 0x24d134f9, 0x9019b905,
+    0xafe6318d, 0x9de22dc5, 0x85fbbeaa, 0x18e8437a, 0xfb1f2146, 0x41892456, 0x276033f4, 0xdda3a813,
+    0x15a3cae5, 0xad2124f4, 0x2c2a46e4, 0x696e6426, 0xfe11bf96, 0x14c9f446, 0xd1e1a8f9, 0xbcdde8ec,
+    0xae2b0f62, 0x0ff35012, 0xf9ed612b, 0x47271c30, 0xc119736a, 0xeb9ccebc, 0x9c86ffdd, 0xd983a177,
+    0x3b16ce0a, 0xcbe61702, 0x47ad6914, 0x55e872f4, 0x51125307, 0xd8937bac, 0x2cd2438c, 0x4e9e0e0e,
+    0xedd42b35, 0x91cf1a00, 0x960d57e8, 0xa203358a, 0xcbb26ecf, 0x6d6b792f, 0x66b3be68, 0xa60a8885,
+    0x7cf11b21, 0x4451f87d, 0xabbdda97, 0x5e03fff2, 0x676a4256, 0x42da7125, 0xce030432, 0xbbba71a8,
+    0x8341991a, 0x7ae46a1c, 0x4b68afe4, 0x3dee6bd4, 0xa21b5e21, 0xbd22280f, 0xf380640e, 0xdf10043b,
+    0x6dcb4b7e, 0x9cfde0fe, 0x114827ed, 0x4db59d0f, 0xe0150393, 0xc6be3bf4, 0x895dd511, 0x3a874731,
+    0xc39058ed, 0xe4fb740e, 0x7c180f6f, 0x97ffcb9f, 0xe3a51b78, 0xa361de03, 0x2c89922c, 0x484658bd,
+    0x2e47f584, 0x71ed9324, 0xc8c73750, 0x070721a6, 0x453746a0, 0x4cf937b0, 0x86f55dd9, 0x3fc6288c,
+    0x86035317, 0xd36d6f3f, 0x8d59bbbc, 0x7c2a21a5, 0x7d262711, 0x3ee96e52, 0xfb05d6e1, 0x13d3f844,
+    0x976ceb9f, 0x5745dbd2, 0x7a449337, 0xdc9c4109, 0xb0c637f1, 0xc669cc32, 0x23af8bac, 0x6bf41de8,
+    0x48c0dc6d, 0xd77d7a3f, 0x96b0e074, 0x48806433, 0xff681c15, 0x392507dc, 0x1d10531f, 0x7339ae72,
+    0x96496fc1, 0xe8aa8aa3, 0x7dbe771e, 0x93219716, 0x58569769, 0xe5157738, 0xb42b315a, 0x17b6b8aa,
+    0xd17fb988, 0xc51bbc97, 0x4e26ab51, 0x7fc2d859, 0xcded21bb, 0xfb8935ab, 0x03410c39, 0x9be6ab77,
+    0x289a3d5f, 0xe004d184, 0x56b45704, 0xfc07a39f, 0xdce21dde, 0xdd2acc5c, 0x9202365a, 0x1a602a11,
+    0xe1202b19, 0xf0f4fedf, 0x2b5f96cf, 0xd91c69d8, 0xa960cf07, 0x616866ee, 0xc13fdcee, 0x0bb4954b,
+    0x677767aa, 0xb60f614e, 0x540f90ee, 0x22acba6f, 0x6a252fb1, 0xd6454680, 0x52b53b9f, 0xb91cf5ca,
+    0xc61362eb, 0x7d7e80a6, 0x05d75945, 0x261e8b9a, 0xd9e0d2eb, 0x61874cfe, 0xd9cab861, 0x9492c0c8,
+    0xadc07b9d, 0x10c20454, 0xa3eb7e24, 0xfe526c97, 0x23f9b3d6, 0x8c331c51, 0x6ac26dee, 0x0fbdb17c,
+    0xc8521335, 0x0e0ab0fa, 0x92e3f15c, 0xa1c9b5c8, 0x05d111c1, 0x7acafde5, 0x01f7e658, 0xd251321c,
+    0xab1a662b, 0x4fea662a, 0xba3884ae, 0xb11168cb, 0xd532f409, 0xa4af81de, 0x5d6d3b38, 0x3faca6d6,
+    0xe7783863, 0x0204e10a, 0x67db760f, 0x7d2374ab, 0x4795fde9, 0xc8709764, 0x0437d480, 0xeace05be,
+    0x03f770cd, 0xa10cf05f, 0x06f57efe, 0xbc57ba19, 0x69adf1dd, 0x23500f6f, 0x0ac9a8a7, 0xa6f3b072,
+    0x134dd236, 0x60d24416, 0x90ef4efa, 0x828443cb, 0x5807284d, 0x8b4160b9, 0x92b4d966, 0xd52fd7b1,
+    0x602e06d4, 0x59579cc1, 0xb3508f44, 0x262c648d, 0x8124bcae, 0x2e6dc715, 0x8ed816b3, 0x2dee7fa4,
+    0x9663c0f8, 0x33f6e147, 0x7401d257, 0x66a20e22, 0x55550776, 0xbc5af663, 0xc07e8ad9, 0xd6bc41e2,
+    0xe151a650, 0xeef301bc, 0x9a570454, 0xc9f121a7, 0xc6c61ed0, 0xc2559023, 0x40ceea7c, 0xfe62596e,
+    0xb3aa6808, 0x499f1b6f, 0x581d59ee, 0x739a1307, 0x74802203, 0xf0626387, 0x73a714dd, 0x4881c14b,
+    0x7815af11, 0xdbcfc656, 0x2e6a34e2, 0x83eb4cf0, 0x8ed0ff2e, 0x4f147cc8, 0xc29df280, 0x1350f514,
+    0xca3aad95, 0x0de88b76, 0x94f3713f, 0x741305c5, 0x26208c1a, 0x67779a67, 0x5d508e48, 0x898dc34d,
+    0xa5225b88, 0x2b52bda3, 0x9a7c43cf, 0xb3479ae1, 0xde0c9123, 0x3dfb38c5, 0x6d62d1e2, 0x4971600d,
+    0x50df80be, 0xf45e82d9, 0x79fdfda7, 0xdbc1b733, 0x9e5b2726, 0xa6e73403, 0x8b13939a, 0xa494f11c,
+    0xa8a59629, 0xe3fa4a08, 0x70ccc01b, 0x6ba123b0, 0x7a654c63, 0x07f93198, 0xa9b069d2, 0xa421be6c,
+    0x820192cb, 0xf8becc8d, 0xd3eb7854, 0x90cf901d, 0x4aa1744b, 0xa7b53768, 0x926505e8, 0x2a561271,
+    0x55f201e5, 0xa1ce2163, 0x104e7533, 0x568e0374, 0x49584ca3, 0x96c32e36, 0x88725469, 0xd3641792,
+    0x631cd88a, 0x8fd81910, 0x5ae70a20, 0xe8e66577, 0x8a36d43f, 0xa61681c4, 0x0b4f0081, 0x25a77472,
+    0xf2edd218, 0x88f6eb60, 0xa8aaa5e6, 0x0fd80ce3, 0x0705d3ac, 0xb9ab4671, 0xed900a4b, 0x602ffa67,
+    0x7a76223b, 0x49a6d6db, 0x95ee5475, 0xb03f816d, 0x816a28d6, 0x82b61acd, 0xbb37c7a9, 0xb9731379,
+    0x10138060, 0xbd18d24c, 0x5380638d, 0xeab0ec25, 0x76d8e640, 0x9837d029, 0x2ff431e1, 0x83dc9451,
+    0x97740d5f, 0x92b8dde0, 0xb438ed5e, 0x99e1d29d, 0xaf07b5ff, 0x9a6da2fd, 0x7748d36d, 0xc2f643c0,
+    0xc6184d30, 0x8ca9a27e, 0x63b1b2a8, 0xe33f66a7, 0x377d3711, 0x9255db92, 0xd58b1638, 0x2f37ea45,
+    0x67a6d49a, 0xd03df704, 0x54a4592d, 0x9aa3133b, 0xd811fdd8, 0x3eb3cf4d, 0x9ff251b3, 0x27586fe8,
+    0x5d7fe96c, 0x6ffae79a, 0x998198f0, 0x500da6b1, 0x7e6de641, 0x6f771e50, 0x0cfa3724, 0x9996ab81,
+    0x3e7c3e4d, 0x2f1be067, 0x5807012d, 0xba2f3c33, 0xc391301e, 0xd0b4fdae, 0x68e06f80, 0xe45b7837,
+    0x5005111f, 0x525e4909, 0x75927e83, 0xa975a134, 0xbc64c91f, 0x1b3baa44, 0x455e00e3, 0xe97454fe,
+    0x4738a504, 0x505346eb, 0x2c67ce72, 0xfca4fad3, 0x071f0043, 0xc901a9fb, 0x3a36f960, 0x5995bd24,
+    0x9eeeacdd, 0xf3cb77c6, 0x924d802f, 0xa0a7634a, 0x009b7e95, 0x935f059d, 0x0ae00ab1, 0x4fe52845,
+    0x6f0178dc, 0x070d952b, 0x91047db3, 0x0e24971f, 0x46393a62, 0xce977c96, 0x8c6cd347, 0x1dcf9636,
+    0xa66198f2, 0xefa223f7, 0x3237e72b, 0x7fc04f29, 0xc5513c63, 0xf3c9b779, 0x464041fd, 0x3d4e33af,
+    0x40997213, 0x95eb055a, 0x433767e1, 0x809c41b5, 0x51f4ebaa, 0x2a26b434, 0x996e0e3b, 0xb439a971,
+    0x76142c35, 0x19efa791, 0x88c410a5, 0x74cc5490, 0x892b1c28, 0xb27ba86b, 0xaabe9665, 0xde1d159c,
+    0x699b240f, 0x8af9e49a, 0xf1f10685, 0xde6b06a6, 0x5835b705, 0x92ae789b, 0x124c6276, 0x2e92d0a4,
+    0x11381f17, 0xdee818f9, 0x90d1ba35, 0xc573c424, 0x360db916, 0xd96a7cd5, 0x2777bf8f, 0x311dc5f3,
+    0xf96b8ce2, 0x210d5df6, 0xfd350114, 0x91c5512a, 0xdf32fb8f, 0x16c85d12, 0x50e7dd10, 0x290d10b8,
+    0x82b3e27b, 0xd8a15def, 0x6bbb135a, 0x674ae8f0, 0x721fff2e, 0x13416f77, 0x0bddfaa8, 0xfac9bbe6,
+    0x431be34d, 0x53bfdd65, 0xa3a4822e, 0xd036e3cf, 0xa39ae615, 0xf2932b64, 0x7eec1de6, 0x301697be,
+    0xd4ac50a4, 0x6f49ab25, 0x207aae30, 0x698057f1, 0x45c2a2dd, 0x2cff97ed, 0x8dbd6cd6, 0x3ee675ea,
+    0xf0c3e690, 0xf0c5e19b, 0xc373f72d, 0x283b97d4, 0x6fa6345c, 0xd204c525, 0x064a2fff, 0x678136ae,
+    0x0e60dbfb, 0xa0e06c8b, 0x4d8224c1, 0x4e957a67, 0xf5774350, 0x6506f9d0, 0x9b6497cc, 0x42509dd5,
+    0x0c80ff98, 0xe4ddca00, 0x11153a57, 0xe2601947, 0xd902238a, 0x34293111, 0xda755f21, 0xe2fb7112,
+    0xf05da450, 0xad690b95, 0x9c379cdd, 0xdc82e105, 0xbf7c3d30, 0x958dd217, 0xaaac2c84, 0x7a5edfd1,
+    0xa9220d5b, 0xa04da301, 0x29d0f6d7, 0xba0aa45a, 0x9c5452d1, 0xf63a1421, 0x48861822, 0xb4ec0726,
+    0xd277c7c1, 0xfcbc3dca, 0x0291381b, 0x06aaedb6, 0x7d727424, 0xa2083c70, 0x427806cb, 0x1eab5782,
+    0x785db1f0, 0xdf167c3b, 0x9bd84de7, 0x1f77bcca, 0x7ee4e48c, 0x62b62365, 0xfe07f33d, 0x643c5fa4,
+    0xa5c4361b, 0x420c5d72, 0x1eabee67, 0xfd96c3d2, 0x166b308c, 0x2f2bb386, 0x4cc214bf, 0xbbe7d6e0,
+    0x9695e6fa, 0x9e0da841, 0xccfb6b78, 0xec63779e, 0x9d3f6fcb, 0x312f54ff, 0x68a3d42d, 0x71962c01,
+    0x369eddc2, 0x9fd4b984, 0xe36d8e53, 0x9de9424d, 0x229cec84, 0x75127455, 0x0e7c259d, 0xfd8ffa47,
+    0x129b7106, 0x1f33410c, 0x56b6acf1, 0x8604831f, 0x0cb0491f, 0xa238609d, 0xc56cff00, 0x0db3b50e,
+    0x32c1788b, 0x08bf95d4, 0x35d5cc51, 0xf19eb6a7, 0x93842875, 0xab3d7cf3, 0xb1c2248f, 0x0903df2b,
+    0x8f5e016e, 0x59211782, 0x22919c93, 0x02ffd8f2, 0xc38f6beb, 0xa815f8ba, 0x3a6431ba, 0x13650e75,
+    0x52b0a9b4, 0xac53a738, 0xb2824f68, 0xddf72600, 0xd753b788, 0x6cc0e7e9, 0x2c94a647, 0x379ed11e,
+    0xa7cfedb9, 0x1b2da139, 0xfd8c27fa, 0xf5ff60d5, 0xc3065d0d, 0x294d5a69, 0x4bc316be, 0x615a6337,
+    0x660c562f, 0x90747619, 0x1b13314e, 0x7d102dc2, 0xf27b37b1, 0xaa120cb7, 0x726220e4, 0x2ad3fd6b,
+    0x7510cada, 0x239ac676, 0xb1330817, 0x59317c7c, 0xbd1e18ee, 0x18f3d6df, 0xb91f9978, 0x5191dfb3,
+    0x0ba12493, 0xd0226dc3, 0x08871215, 0x5b57f60e, 0xacebc02b, 0x8b3575fa, 0x401e838a, 0x46efac00,
+    0x581ac01c, 0xfab7812c, 0x7addab99, 0x8e2977ea, 0x24640bf9, 0xcfa7dba1, 0x071433fb, 0xbb38b3f9,
+    0xc7fb0e0f, 0x936e2e7e, 0xd996a820, 0x71d1cce4, 0x2c39e69f, 0xcb38a0bc, 0x45a04d27, 0x6c6ca69a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000038853377\
+                          84451458141838923813647037813284813678104279042503624819477808570410416996352 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e,
+    0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e9, 0x8be66bbf,
+    0x00000000,
+    0xb7c08775, 0xf8176ff8, 0x63a06b71, 0xe90c64f3, 0x28388e31, 0x2cb29447, 0xfbe753a8, 0xd4f0c0b0,
+    0x1c5d294c, 0x58bea033, 0xa71f2c63, 0x4608cfd5, 0xeaa1a397, 0x1df729bd, 0x51cdcb32, 0xe1b46192,
+    0x8fbfbe63, 0x7927398e, 0xa9e42ef6, 0x7dabd19a, 0x85353755, 0x1522003f, 0xce45a12d, 0x57712a98,
+    0x5172e5d8, 0x016bd8c6, 0xd3f416ad, 0x22d271c4, 0x3d17920b, 0x0cd35a7a, 0x30197e61, 0xe75358c4,
+    0x39706b92, 0x80eede3c, 0x88cb5417, 0xfbca2c60, 0xebc25ba0, 0xcb96e68f, 0x79d0ede6, 0xbf270662,
+    0xa6da4e0a, 0x459fcc12, 0xd5d460fb, 0xa435a6ae, 0xced5abed, 0x0f6771a2, 0xe057d64b, 0x8be4871c,
+    0xb8ed06a2, 0x3ae0d6a0, 0x9834178f, 0x55c75d96, 0x3e8afa2a, 0x49cd3f28, 0x1b43a4d5, 0x133d4c58,
+    0x44340fe5, 0x45c544d3, 0x08a5e624, 0x21eccbc2, 0x7957d983, 0xa36e693b, 0xa20afea0, 0x1da762f4,
+    0x6e0537d5, 0x94b1e82d, 0xf738e556, 0xa4ea0119, 0xe02af6c8, 0x8cbe9ba1, 0x8dcea2ec, 0xc8393c71,
+    0x1e23384e, 0x29c4de2d, 0x23287049, 0x0caa2247, 0xf34dc1f9, 0x64d6aad6, 0x764e07aa, 0x9747ae2b,
+    0x9326ced0, 0x430b761e, 0xe7f97014, 0xbc22277b, 0x92a23ba2, 0x6dbf6117, 0x5980950e, 0x8a00d918,
+    0xb26b686d, 0x3fd21714, 0x0e25e562, 0x221fe7b4, 0x8e14d915, 0xbb2ae2bf, 0x7492f634, 0x69de96c6,
+    0xac192f17, 0x12adf7f3, 0x7cab47fb, 0xb20f7916, 0x2af81a3d, 0x0bd8bedb, 0x8cefe601, 0xae3eae85,
+    0x76f5c2ef, 0xabd0238d, 0x989384dc, 0x1c0ee37f, 0xaa8d083d, 0x6a2d5ec8, 0xb3a5f5d9, 0x65d8f0ef,
+    0x9c0b14a9, 0x2f2df400, 0x13cd114d, 0xe8b8b628, 0xe58640ff, 0xb1266793, 0xc7434725, 0x090ea167,
+    0x941f8df2, 0x36a66118, 0x8ebf246e, 0xc21d5579, 0x587d3363, 0x9ef28c6e, 0x51fc8486, 0x9bbd3464,
+    0x9fd09505, 0x33948a0a, 0x175f518c, 0x3a81097a, 0xa629aeee, 0x58f7921b, 0xbd499524, 0x193c6134,
+    0x752b0d8a, 0xb13ea4a8, 0x28d74978, 0xd00c88be, 0x51dcf2bf, 0x02926254, 0x5c68ba7f, 0x13709835,
+    0x9bc5b2f7, 0x73cf6f8f, 0x7f6c80da, 0x6fd26bc3, 0x9a349fa2, 0x0730f203, 0x6f5648e1, 0x1f58a312,
+    0xab6e62b0, 0x14f64397, 0xa085d8c9, 0x40e107e4, 0x8ddfa1a3, 0xa4f07f61, 0x7eebe06a, 0xed9d7c77,
+    0x8eda7b94, 0x7ca4cdfc, 0xd5eca5b8, 0x6dbbc4a0, 0x655d58ab, 0xa1e4a153, 0x708de761, 0x61c13343,
+    0x418028ac, 0x7a194e4b, 0x230e968d, 0x0f36ac68, 0xf69cfa07, 0x557e18e5, 0x8c255aa0, 0x69abf27d,
+    0x3fd2d8f3, 0xcadc324a, 0x8200e90e, 0x3c67d16a, 0xa526fc50, 0x4e5c9c23, 0x6b458292, 0xe89b05c6,
+    0xa2d2b166, 0x6e7e25fa, 0x94fc036a, 0x1690663d, 0xab0149b7, 0xf3e3185b, 0xcb30e143, 0x5355704b,
+    0xc26c24bb, 0x4463a98a, 0x7bfd434d, 0xef23c6b6, 0x382aee80, 0xba42069b, 0x7a6b8049, 0xcfe5487e,
+    0xaee3b9cb, 0x6712fb9d, 0x8386b5dd, 0xecb58797, 0xdf73f9a1, 0xde005467, 0xf70a7cd1, 0xa96dcf0e,
+    0x66f51156, 0x53fc376e, 0x34815ccf, 0x4a7a00a9, 0xf6acbba7, 0x3affe924, 0xcd74488f, 0xab0912c7,
+    0xb2ec2685, 0xebabdbdf, 0x59383ce1, 0x27985467, 0x3bfd2bc5, 0x0bc98e10, 0x083addac, 0xc9fb25c3,
+    0x78c9a3cb, 0xe80bc0b7, 0x9aaadc2a, 0x671c63db, 0xe711aaf7, 0x71f55bc4, 0x229df452, 0x9c751bd4,
+    0x753a51bd, 0x633ebdc0, 0x33aef14b, 0xba5226f3, 0xd52eec74, 0xa5831d22, 0xcde3a0cb, 0x0b17dcc9,
+    0xacbca220, 0x6575f127, 0xb7ad2f05, 0xc1dc22e6, 0xb999fd6f, 0x17b912c0, 0x583cd55d, 0xb70dffdf,
+    0x8f142afa, 0x4bc9c1a0, 0x9f5b7ad7, 0xfcae244c, 0x5249a4a0, 0x24c9ade8, 0x161f6c3d, 0xfca2db98,
+    0xb37e3933, 0x5b0b55e9, 0x070f3d08, 0x5a42ded9, 0x3f5612e6, 0xa606713e, 0x6d4a9e9f, 0x42e6d7c1,
+    0x32bfc57f, 0x0e265f27, 0xbb2c3153, 0xb1aadae2, 0x8b672e3f, 0x4be9a08e, 0x37ff20f0, 0x43227e2a,
+    0xb50ffeaa, 0xff1d77a1, 0x2894f68e, 0x6753c71e, 0xf3cce800, 0x2766a579, 0xe63713b3, 0x8f86e8db,
+    0x7b843865, 0x702c7197, 0xce0ac754, 0x576bb998, 0xef48c1b8, 0x58adffd8, 0xd4d91b4c, 0xba4d6cf0,
+    0xb56caa05, 0x5cf3f728, 0x22884101, 0xf708b2ec, 0x48b65eb5, 0x3818c22d, 0xf2100fad, 0x4cf0326a,
+    0xb779a25a, 0x5bc26fc0, 0xb81d6485, 0x692c846a, 0x3fe48b31, 0x75bdd318, 0xacfdb29e, 0x708c7b7d,
+    0x88b9cd39, 0x623647aa, 0xc1744095, 0x33fec9fa, 0x4554173a, 0x62124962, 0x382b75f4, 0x7b5a48fd,
+    0x083ee9f2, 0x9ae4e954, 0xa8ab5aaf, 0x3e0d4cab, 0x2d4d86b0, 0x153563be, 0xbfec7b44, 0xc5123331,
+    0xb0a08703, 0xf18ada1f, 0xfce62b7e, 0x09d8afab, 0x761a6431, 0x09e1b7fe, 0x8dcd5b94, 0xeefb81b2,
+    0xdd5c2492, 0xa371a2e8, 0xd5ba5bc7, 0xddd0f20e, 0x29d6c6e8, 0x46f8a390, 0x8d70603b, 0x6b425068,
+    0x1fac8d9d, 0xa0292f02, 0x040bba0a, 0xeb1d38e4, 0xfcc13d1e, 0x1a279d09, 0xa2a9f3dd, 0x4b86c164,
+    0x501970f2, 0xb25bf35c, 0x30c400d8, 0x97079837, 0x75dbb75d, 0x4849e4ee, 0xad8e27e2, 0x9ecb43d3,
+    0xaf322025, 0x2c5320f3, 0x72e7d308, 0xb7b4b2bb, 0xaa6474a2, 0xac0fb9ca, 0xd1bf1ccb, 0x9782f57e,
+    0xa9a6dd82, 0x6a46aa72, 0xec20509f, 0x7d02f680, 0xa3584c13, 0x9e5bff5c, 0x5e3c6fb3, 0x44e2e501,
+    0xd625363d, 0xe3f68dd8, 0xc6f0c5be, 0xcb031f35, 0x0794f285, 0x7423f20a, 0xe312b04c, 0xae44a6b5,
+    0xc5f07297, 0xaf574786, 0x4295a8a6, 0x34c4622a, 0xd34ec4ae, 0x56076cdf, 0x48a889c4, 0x122b7504,
+    0x21ed4444, 0xb0ff280d, 0xbaf8d704, 0xe15eace4, 0x5b2036a4, 0x67989d84, 0x748ada1c, 0x8db5720e,
+    0xd76fcbcb, 0x556d00c3, 0x6eb823ed, 0xb44dad5e, 0xbf891dc5, 0x3ba3e854, 0x4b97a80f, 0x280f4dce,
+    0xce2ee297, 0x956e9a82, 0x30656acf, 0xaaed8942, 0xc12b8343, 0xc9fea18f, 0xd43471b1, 0xed8497d4,
+    0x3cd25b97, 0x22c167a2, 0x9e211bc9, 0x9c5c1fc1, 0x6debbfb6, 0xf4b41adc, 0x78f14d4f, 0x19f6ea97,
+    0x049bfe51, 0xd63dae53, 0x8ea1d2d7, 0x66dae2ee, 0x7af90408, 0xd52d638c, 0x9f3b8b97, 0xd34347e1,
+    0x6bba291f, 0x086ae69e, 0xe0a1a2f5, 0xa66e3abc, 0xcf78a453, 0x189f05b0, 0x385a36d4, 0x20883cbc,
+    0x4b7caff0, 0x010d07a9, 0x862c9e1e, 0x07d1c7a6, 0x3f4175ba, 0xb0cc993d, 0x05183b58, 0x6a1186ed,
+    0xcc806e14, 0x1e6749ab, 0xc9a5f54c, 0x1710bb8b, 0xe4d0d34f, 0x8a4c8a64, 0x761fc4ec, 0x6e67352d,
+    0x75992ad7, 0x6af056ca, 0x89fec83a, 0x66295af7, 0xb3e7287d, 0x3d4fce21, 0x280f50f2, 0x9322d596,
+    0x7044604c, 0xcdca1d2e, 0x9578910a, 0x3208301d, 0xff9b0e31, 0x4ae34338, 0x21aad936, 0x2efd325d,
+    0xb25345a7, 0xf77003f4, 0x7ce7b338, 0x1afc737d, 0x6f74045d, 0xa4dec415, 0x86d3742f, 0x7f875ee4,
+    0xc7a0875b, 0x059294f4, 0x4601a6fd, 0x109fa9e9, 0x88d387ff, 0x2442cc67, 0xf664d69c, 0xbc02b519,
+    0xed2c6342, 0xecc9b6cc, 0xa6e334cd, 0x3bf857f0, 0x4846db18, 0x2e15ef42, 0xcc24f641, 0xab971008,
+    0x81fc1a95, 0x2bfdbaeb, 0xaebf241f, 0xdd57ad20, 0x18bb7585, 0xb264ff42, 0x845628d3, 0x20ef69a2,
+    0xb7627e0f, 0xb36c156e, 0xe11bd18d, 0x87b3c98f, 0xa77bf8d6, 0x102b72ba, 0xcc348bfe, 0x036b7456,
+    0x929b4164, 0xde6b16e5, 0x42677fc7, 0x8d25bea7, 0x41a77719, 0x143a96fa, 0x2b7794e6, 0x93b554c6,
+    0x987032ad, 0x09fb296d, 0x6ad9e85b, 0x3912b383, 0xdfe0c596, 0xbcbe4ef1, 0xfb389e8a, 0xb0fe7c73,
+    0x03f08f52, 0xa77e7540, 0x512cfd85, 0xd708613d, 0xfa686064, 0xdc2ec9bd, 0x4c4dcd0d, 0xb255061f,
+    0xf0e5d9ac, 0x064163e5, 0x4d0ea979, 0x2dcbec45, 0x7d863892, 0xe341456b, 0x3eaf029e, 0x43b16bba,
+    0xd6dccb9a, 0x13e277ad, 0xd213c445, 0xcb7f6aad, 0x6a40b27d, 0xcb3a7afb, 0x60d05323, 0xfbf1a9fa,
+    0x2f9f8bbb, 0x16048944, 0x3bf1cea5, 0x9a1aa2f2, 0x97ba5c57, 0xee71340c, 0x0a6187e3, 0x4b719b62,
+    0x69e630e1, 0x9afb12dc, 0x20e235bf, 0xb1513987, 0x34ef4579, 0xaf724b37, 0xcc5661b0, 0x473564c4,
+    0x8bda63ca, 0xf8f3d147, 0xf799e042, 0xfeaa81f5, 0x791188d7, 0xd75f4ca5, 0xe3f9ed5e, 0xbc6c239e,
+    0x70fa7eb2, 0x76c85373, 0x03355ecc, 0x2c7d7499, 0x9981dc55, 0x260abd4a, 0x41f773fc, 0xdca7b8b5,
+    0x5aea5474, 0x449ed4ca, 0xe6109fed, 0xe148d3c5, 0x0900c4a8, 0x47fce741, 0x45075d0a, 0x6e79b3c2,
+    0xdef65981, 0xc722eaff, 0xe19782e5, 0xe8130a9d, 0xcd2e8620, 0xeae576b6, 0xf29cf22d, 0xd28de6cf,
+    0x9e599e3d, 0x6d37c007, 0x84d200c8, 0xea9d4b23, 0x6dfd16b1, 0xdde51433, 0x1e3639ec, 0xe45e9c0f,
+    0xd037b202, 0xa48b28b1, 0x329e49a3, 0x5bf5cfa1, 0x318c3766, 0xa58e653a, 0x91e64146, 0x79cf4eaf,
+    0x1d1f2d6f, 0x974b136f, 0x5d2b9da4, 0x849b58c1, 0xc5ff45ba, 0xd6bddf18, 0x10b6084d, 0x29805ebc,
+    0x6d1a0bac, 0x4b77877d, 0xeb995a45, 0x30acf1d0, 0xfc5dcaf9, 0xf18b1602, 0xa306cdd7, 0x67e219af,
+    0xb515aeaf, 0x810e302e, 0x701f92c6, 0x4a23fb05, 0x7f271abe, 0x2d2fadce, 0xb9fbaeeb, 0x8a41e7d9,
+    0xb0340c06, 0xd107ffbd, 0x68100e18, 0x7cafda36, 0xb3d1e4f1, 0xa2abf530, 0x529625ab, 0x809b6841,
+    0x7963cc48, 0x2cdb9d82, 0x592b319f, 0x23c34c78, 0x899576e5, 0xc58b01fe, 0x9ca523c3, 0x17742e9a,
+    0x004babd1, 0x65f0dd42, 0x974b9934, 0x2dbcc48e, 0xde33b8ce, 0xc59f28df, 0x2c6d2a92, 0x73391541,
+    0xef23c2e1, 0xed901ac8, 0x80bedd7f, 0xdb47d632, 0xa0fddec0, 0x567afcf4, 0x072004dc, 0xb1a3d42e,
+    0x0dda5c9f, 0x04aa9c6a, 0xe33443c6, 0x7c7158ae, 0x473cf66a, 0x005ef9c1, 0x562cab47, 0xa492bb84,
+    0xb4f40c0d, 0x982e0504, 0x11be55bd, 0x00323f51, 0x3cba68d1, 0xd3171a19, 0x943c963c, 0x54822147,
+    0x08c2718c, 0xbc88938f, 0xca4e0054, 0x3f94c3de, 0xd0af6c5d, 0x7fb6cb5b, 0xfe9d27d5, 0xd17657f4,
+    0xe61d0f46, 0xc3768085, 0x861b5af0, 0xd0f0d9bc, 0x2f0b0e09, 0x328b405f, 0x81360147, 0xf9e9b94e,
+    0xfaa322ec, 0xab08c69f, 0x6be3c035, 0x44023f68, 0xeecd9861, 0xbfe39d28, 0x318cccfb, 0x1352cb12,
+    0x4db884d8, 0x0374910e, 0xb292f568, 0x78ab9e36, 0xea7485aa, 0x295a3a99, 0x67f9c3a5, 0x7b60773a,
+    0x56bd7e2e, 0x75641b01, 0x2f548d79, 0x21062506, 0xa45654df, 0x490ef7e8, 0xcfc8d4e8, 0x1f4fc18c,
+    0x412879dc, 0xc1b766c8, 0x08c50a9e, 0x94240cf3, 0x4478d2f4, 0x1e21921f, 0xeb89aa53, 0x1ae4bf12,
+    0x53a09f41, 0x099fc34c, 0xdfd3fad1, 0x6c3ec9d4, 0x8c8c5d61, 0x60f44ebd, 0x019085c1, 0xcaa79a38,
+    0xdb00e35d, 0x9f8ce305, 0x1c824423, 0x84bbd838, 0x89a41bf0, 0x24f73f3c, 0x57f967fa, 0x3191af3a,
+    0xe5a2812b, 0x25e14afa, 0x2f5ef5d5, 0x38a5981b, 0xce5e9045, 0xdb183500, 0x8f915af9, 0xb3ddf102,
+    0x904138ba, 0xbb9e3710, 0x513b6618, 0xea94eb9a, 0x0504997f, 0x9b3aa644, 0x4b50efef, 0x80f5bf6c,
+    0x9522c89b, 0x1305110d, 0x37b69878, 0xf8fac7dc, 0x99b55fec, 0xb163b05a, 0x0d904062, 0xc0b11008,
+    0xfa5cd07c, 0xeaed99aa, 0x2949513c, 0x684742a0, 0xdb4b86bc, 0x50c828b4, 0x64e97403, 0xb5d86524,
+    0x7a78168a, 0x6d6ae1e7, 0xa5670d95, 0xffc0701f, 0xeecef593, 0x93686876, 0x24cda3a5, 0x02af7d93,
+    0xa49e3dae, 0x8e02f514, 0x9fe0472a, 0x4c4563d7, 0xb751909f, 0xcc86b3bc, 0x76bad262, 0x43cb27cc,
+    0xe4b65981, 0x85d9c936, 0x20c33f70, 0x6b0da4d0, 0x7bad76ba, 0x2b58bf53, 0xfaeac305, 0x3a50a8d6,
+    0x0f0e74bb, 0x3d355d7e, 0x2094d690, 0xd26d109b, 0x23d3fe8a, 0xecf94908, 0xdaa90b88, 0x6b60b61b,
+    0xf86a4ec8, 0xd14b8beb, 0x1e99d4a9, 0x39e60b6b, 0xd05b0642, 0x3212125e, 0x07241a6b, 0xf38378d4,
+    0x08b73f42, 0x33ddafc2, 0xfbb7e649, 0x3e58793d, 0x967fd9bc, 0xd5f08b69, 0x7ddc13da, 0xed9b6587,
+    0x8b473367, 0x88af447c, 0x7ef77452, 0x21de0cbe, 0x9e4882d2, 0x845fcbf8, 0x0d8c44d4, 0x4f73f843,
+    0xa866298d, 0xf69680f0, 0x67690ea6, 0x6640b004, 0xcd57cc1c, 0xce0d2289, 0x308d4a9f, 0xa0ad7cf3,
+    0xa080979d, 0x176b96cb, 0x8682016e, 0x2f9fa95e, 0x7c39b24b, 0x6838f375, 0x03d52bc8, 0x80bf1d9f,
+    0xe7b619ed, 0x40ec5e21, 0x8d04a241, 0x99f47b68, 0xc6237071, 0x07af6025, 0xea9335b9, 0xf44fe70d,
+    0x52a2c789, 0xa93f0ecc, 0xb4223878, 0x2888a05a, 0xa983d799, 0x9c4e4e84, 0x4047dff2, 0x2492d738,
+    0xe1239de1, 0x874a7a26, 0xc8c539b4, 0x3865c9aa, 0x32dc6e84, 0xe2f3fb8b, 0xb4106ac9, 0x9806e258,
+    0x79a7aa06, 0x12d1e62a, 0x0d97fe32, 0x8805386f, 0xb0f63f13, 0x320bf5c0, 0x59a43fe8, 0xd2985eea,
+    0xf6ab0a3f, 0x2bf753e3, 0x211ada18, 0xa0cbdca3, 0xc7932a18, 0xa3977d76, 0xe0e7e26d, 0xce16529f,
+    0xa28ea85c, 0xc19b8bfa, 0x6ee74ae6, 0xa08297e7, 0x2dffb05f, 0x3a32fc1c, 0x91f05523, 0x6cb145f2,
+    0x99eb19c1, 0x0cbae019, 0xcb74a6ad, 0xc7aea7c2, 0x402d70f3, 0x05a12420, 0xbe15c2a8, 0x9c9c0020,
+    0xfd09918f, 0x2f930edb, 0xd8481075, 0x33ef2fe6, 0xf5addc80, 0xb3d9ca74, 0x6ce58522, 0x9e52c880,
+    0x3d3f3bb5, 0xa277c848, 0xa4deb38a, 0x98719054, 0x7262c88f, 0x9acd4f53, 0xf3809f01, 0xfc025d4c,
+    0x6a4977be, 0x1409fd83, 0x8756bb80, 0xf59e34d9, 0x2177ad12, 0x819a86ba, 0x776cdb13, 0x246b844d,
+    0xd969526a, 0x6f35c6fe, 0xc6816975, 0xc006d4ea, 0xf327b63e, 0xce70a8f2, 0xd7df662b, 0x4b98567f,
+    0xaacfc07e, 0xe18ef2d3, 0x29a71e11, 0x00c18127, 0x55be7138, 0x97a85a68, 0xa1ff2aff, 0x00b9f3cf,
+    0x277e4fd6, 0x84b21e20, 0x60c283cc, 0x82c59fdd, 0xa7785bed, 0x0ba53efc, 0x3bcc43da, 0x98bf6130,
+    0x63a2baf5, 0x74c71e97, 0x57947314, 0x02588146, 0xf9cd8a49, 0x30c2ceef, 0x960ce829, 0x3f59056b,
+    0x90eaeab4, 0xbc7d7342, 0xe67c1385, 0x476b38ec, 0xaa39d499, 0xb4e07c97, 0x72e55a4e, 0xa2ef9769,
+    0xe3e07c08, 0x31d69261, 0x22a75547, 0xc1c2e03f, 0x22104458, 0x35e0d55f, 0x2add7700, 0x1993d71e,
+    0xd18348d4, 0x049112b8, 0x22434925, 0x8d9047cb, 0x9f395284, 0x077c395d, 0x128bbf4f, 0xce422cc7,
+    0x5f2b528d, 0x1bf52d7f, 0xe6729c96, 0x5fdb830b, 0xd2a40816, 0x5e6da946, 0x36815af1, 0xffa7b38d,
+    0x6aa93896, 0x0ab62a48, 0xb6b9a369, 0xf93cb92e, 0xf89001f1, 0x0fb47197, 0x5af7ced1, 0xaad17f80,
+    0x3a997006, 0xdfb8a7cf, 0x0802e3ad, 0x2d8787b3, 0xcdee9afe, 0x800dc38c, 0xe2873540, 0x62328892,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000019426688\
+                          92225729070919461906823518906642406839052139521251812409738904285205208498176 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f,
+    0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f4, 0xc5f335df,
+    0x00000000,
+    0x995cf947, 0x003c87cd, 0x8e7c4559, 0x01f0e766, 0x74b55c1b, 0xc50e2c4b, 0x2f1579d2, 0x2a2e59e7,
+    0x298fcec8, 0xb178a314, 0x19d836fd, 0xf57424da, 0x47a2fbeb, 0x3b35c675, 0x0c37e39b, 0xaac3afc5,
+    0x207fc485, 0xb2d79665, 0x66eac631, 0xa95a0539, 0x03a07e16, 0x0a982d06, 0xd74a7e3a, 0x45e91d69,
+    0x4db07153, 0x3b71cfa6, 0x33ea462b, 0x44f5a0cd, 0x19542bb1, 0xeaac91d5, 0x1326c535, 0x3729d50f,
+    0xbfaba50e, 0xd1931533, 0x00df8870, 0x3d5e9fa5, 0x4534889c, 0x9eccb02a, 0xbd530758, 0x1361de33,
+    0x2948e350, 0xeab496e9, 0xbd5a7c91, 0x8379e2e6, 0x25b65d53, 0x8e1e10d5, 0x882942c3, 0x979396fd,
+    0x86322c6f, 0x30f0295c, 0xa631b228, 0x0a515fe6, 0x492508a6, 0xc4bf6b87, 0x817aa508, 0xc0821fb3,
+    0x4f920c16, 0x2088f658, 0x6924111e, 0xb9fe4940, 0xe7736ce0, 0x2649d944, 0x353ea1aa, 0x6504a8ca,
+    0xf42a76e7, 0x1d21a9df, 0xd086c3d5, 0x7ecd27da, 0xa740788f, 0x16d46793, 0xe2b037c6, 0xe855bb96,
+    0xfd91c680, 0xa530de11, 0xd9b40ab0, 0xeb5cface, 0x822e1eae, 0xaa822d20, 0xc930ad9c, 0x680ebbad,
+    0xa4413e77, 0xc81f833c, 0xcf11dd79, 0x0ceb568a, 0xebfce6e2, 0x114e6798, 0x73b956fe, 0xffd79dc8,
+    0xa8f1e082, 0xe0a5be0b, 0x77cbf203, 0x916b3d7e, 0x941b7df5, 0x4a9ec663, 0xea58c62c, 0xfebcf8ad,
+    0xc7214fd6, 0x6d573eb6, 0x8473b955, 0x5a0d2848, 0x9644778d, 0x1fe9d7be, 0x56a4e39a, 0x5d9b9f09,
+    0xa6c6746b, 0xb1f0202d, 0x74a34ce7, 0x1eadbf3e, 0x50f0e8b6, 0x46c01604, 0xae78ddc3, 0x1ac4cb68,
+    0xa2ecf0fd, 0x39e480bb, 0xf67530b5, 0xd8661993, 0x9d64298e, 0x71014a40, 0x2c2b198a, 0x0f812f45,
+    0xf1464784, 0xaa9f469c, 0x13590307, 0x880f04f9, 0x800609fd, 0x078cf7d9, 0x4e4342cb, 0x7d3c32c2,
+    0x04f25341, 0x63d0189f, 0x1dd214a7, 0x18145b21, 0x0f16d17c, 0x7773197f, 0x4d33e232, 0x853ff1bc,
+    0x2ee10f86, 0xe457591a, 0xef4f1da7, 0x622cd9fc, 0x6f428b5f, 0x5f2503c7, 0x6c926034, 0x3017611f,
+    0x58b24190, 0x292bd09e, 0x67fac6e0, 0x7cfec30b, 0x45051074, 0xa1bbca7c, 0x349c10ac, 0xd95c5b3a,
+    0xf124fda0, 0xa34e153b, 0xab3c8c01, 0x05221b65, 0xcfd30560, 0x20828029, 0x7ed9e3d1, 0x27718661,
+    0xfc5a93b9, 0x72dce377, 0xac88a4f7, 0x40c735e1, 0x7f4639a5, 0x22799cbe, 0x640f187d, 0xc9b0d23c,
+    0xbce0e28b, 0x56ee2305, 0xcacb7084, 0x2a44530b, 0x2a70b3c1, 0xc2be9bc7, 0x0056e534, 0xcfb33da8,
+    0xf3b68f07, 0x7a38a397, 0x28471690, 0x8a5c2530, 0xa0d127bc, 0x72dd1fd6, 0xf5237a3c, 0x8af09b47,
+    0x1eeb013f, 0xc6050f93, 0xe4259180, 0x0c2bcbe7, 0x7c78871c, 0x89f23c92, 0xe368d06b, 0xa33d647c,
+    0xb804ec3f, 0xb5fa74bc, 0x1b79fc6f, 0x0d209383, 0x83e839a9, 0xec85a5dc, 0x6ccf5522, 0x4a7d3f08,
+    0xecec5c62, 0x2059abce, 0x020afbd1, 0x63904332, 0x96b7ef3a, 0x4b58baa0, 0xc7b290a6, 0xf8279591,
+    0xb6998151, 0x3333fbd7, 0x775726ec, 0xb9e71ace, 0x23818ad4, 0x6892a0d7, 0x64ad9fbf, 0xe5bc574a,
+    0x49ef0690, 0xed4780af, 0xb6c39521, 0x70bc9e39, 0xdee2293d, 0x5a63dedf, 0x8252633e, 0x31fe8396,
+    0x82c681e8, 0x71de0f12, 0x16641fae, 0x3ec18d06, 0x6a7fc023, 0xad9b1315, 0x46ffe070, 0x4211bf9d,
+    0x34fe4454, 0x652df3d9, 0xd0cca959, 0x563d3a6b, 0x84124606, 0xf6c0a006, 0xf0a9490b, 0x449a891e,
+    0x5a29cd4f, 0x3da7324d, 0xd9c46f78, 0x175992ce, 0xc8f6bdb5, 0x91fcc05d, 0x692b8ad8, 0xf2c49bc5,
+    0x992950bf, 0x27e35bdf, 0x170054f2, 0x5708efcc, 0x1d16957e, 0x55c7c9e9, 0x36328e52, 0x6cacf3ce,
+    0xd80aff31, 0xc1293c1f, 0xc53c7978, 0xbd0b5909, 0xf016ae57, 0x98d5e734, 0x014c7f26, 0xcebe192c,
+    0xc7e00d63, 0x6bdb253f, 0x8270380a, 0xeda06923, 0xd2518a4e, 0xac6a332e, 0x8e6614f9, 0xd0813b37,
+    0xa226d59f, 0x371bedb5, 0xc6076529, 0x67ee8423, 0xc6f8051b, 0x92a2ccd1, 0x49cd23fa, 0x89908d4a,
+    0xefc9c4dc, 0x5efc0e83, 0xf2fdc4cf, 0x1f498d64, 0x9431658a, 0xf295f94f, 0x14846c39, 0x1ec684f0,
+    0x005d43bb, 0xdcdda278, 0xefbf0e42, 0xba34016c, 0x88ed49a8, 0x00faa913, 0x3147a19c, 0x58c0e25e,
+    0x7c0f5108, 0x7e9364e2, 0xe6a59d63, 0x18f78a5b, 0x8a4d9b66, 0xdc990b77, 0xf7ae32ce, 0xdd1478d3,
+    0xb34d643e, 0x8bcfd083, 0x9a967030, 0xf0236fef, 0xff2ad484, 0x10ec3167, 0xf13eec35, 0xc73a7606,
+    0xfc635b34, 0x599b7066, 0x3076c891, 0x6fb07bf3, 0xb64a9acc, 0x376dc89a, 0x1c88ec12, 0x395f5cce,
+    0xce09d8b9, 0x0f130b43, 0x9496b1d4, 0x00a3dabe, 0x6d208b56, 0xc6365613, 0x1a947e53, 0xa654fdd3,
+    0xc62eb967, 0x42fd01bb, 0x6c8f9abc, 0xeb52157f, 0x1790cef8, 0x2dc15e80, 0x8fc5ea54, 0x1efd03c7,
+    0xdca93b3e, 0x65a3900b, 0x7980baff, 0xe11d6640, 0x6f0d27f4, 0xe0d3fdb7, 0x6a7b5829, 0x8a2a6427,
+    0xbd3830d5, 0xece3401c, 0x1b82bc78, 0x526e9a80, 0x26ac1c06, 0x648e26ed, 0x6e0545f7, 0x794778ec,
+    0xf247db9f, 0x0d16ce33, 0x4da5d0bf, 0xac3bd350, 0xa7910726, 0x2051f704, 0xdea80d7b, 0x220ee0e6,
+    0x64f7a42e, 0xc5027092, 0xb7c58522, 0x0b6c3f4a, 0x2c579eb2, 0x7fee4816, 0xcd462ef3, 0xe1d9c5b1,
+    0xf839c427, 0x545eccfd, 0xb7f89873, 0x76add6ed, 0x2cf01941, 0xbfcc61a8, 0xa5a4a823, 0xa5bfc19d,
+    0x4e4c1b31, 0x03216321, 0x0ed31c68, 0x553e1c84, 0x2b7704e1, 0xc2c2e0f8, 0x2b1f300b, 0xcd7ab038,
+    0xad610947, 0x4ac3f597, 0x45eb6b12, 0xc9e51baa, 0x4db5bf8c, 0x08e80ba0, 0xc703c903, 0x33684cae,
+    0x16a299ef, 0xe423a05e, 0xfbbba974, 0x2b7aade0, 0x4da8d0c7, 0xbbb2f4c8, 0xb2490fd2, 0x7f95e673,
+    0xcdb633a3, 0xe2808b86, 0x2638004b, 0x3470e7a2, 0x7ce08a5b, 0x00c92f2b, 0x36890d54, 0x29597afd,
+    0x4a153aaf, 0x7cf3cb6f, 0x3a0bb105, 0x7b986761, 0x98f8ef5d, 0x200a1a0f, 0x7d6e85be, 0x60333310,
+    0xc7a08cf3, 0x371687f2, 0xf9f220a6, 0x425c819f, 0x5ac1d48a, 0x6d559b70, 0x5131a535, 0xb12c7b31,
+    0x02886647, 0x4c81354b, 0xc010a8b9, 0xc25df7e4, 0xc1cbad64, 0x4816dd1a, 0xc55acbc9, 0x7b59ad09,
+    0xde40a120, 0xcf98841a, 0xf3ef243b, 0x83b1a6ff, 0x55ad2a56, 0x0046ab37, 0x1d319469, 0x23a3ca24,
+    0x3631a031, 0x18b123ac, 0x2dbb9998, 0xf65d3b1d, 0x6e21d07d, 0x385e9cf7, 0x39e58908, 0x732ae6c7,
+    0xe6f7b4b3, 0x1ba15ea8, 0xecad93e8, 0x13373f64, 0xd7d4f476, 0xf4de46f4, 0x38537d5a, 0x40848b74,
+    0xcf612a7f, 0x64b201f0, 0x4465510e, 0xf162d08b, 0x25277cde, 0x67b08659, 0x73b1c9e2, 0xdc554ff5,
+    0xbdd8dd40, 0xec848927, 0x038c80e8, 0x857ae731, 0x97121f0d, 0xb6d66624, 0x325d7825, 0xa6bf54b8,
+    0x1c7f365b, 0xa45a4a94, 0xb785cf2b, 0x4994490f, 0xc8497a37, 0xb03c58c2, 0xc6e5f9e6, 0x1d54ff18,
+    0x68415d7c, 0xa6dfd484, 0x73b1645e, 0xbf2ed1ec, 0x12a87e27, 0xfc6109fa, 0xd68997ed, 0x447e044d,
+    0x490e10cb, 0x61b88c40, 0xe47932bb, 0x7e8f23bd, 0xe293c773, 0x64b89b90, 0x6ec21d06, 0xc820e03f,
+    0xac59b2ef, 0xfc358a5d, 0xce4d1937, 0xfe4cacd5, 0xbc0ce214, 0xdb775a4e, 0xf667f246, 0x67c88a37,
+    0x270da8d8, 0x818bd283, 0x688e5b36, 0x0cec3a4a, 0x0e8ce3e7, 0xa0253cad, 0xf43123f0, 0xf91cbb56,
+    0x0e57b764, 0x90bca391, 0x305b29fc, 0x4771cf89, 0xeab4e511, 0xd801d78c, 0x847c6606, 0x6f2acf24,
+    0x3a6f1456, 0x131b580c, 0x68fb66dd, 0x7a76cc19, 0x34772bb1, 0x04257acb, 0x150c96bf, 0xab1dcd62,
+    0xf7561fe6, 0xdcd5d92e, 0xceaf9bb6, 0xf4ffaa61, 0xf5cfbc56, 0x454a8ee3, 0xa0443767, 0x48ed7e8a,
+    0x74bab076, 0x3abbe608, 0x3cfb2e21, 0xc377ae97, 0x137ecf5b, 0xbb6d9945, 0xcf3a79fb, 0x01758cb2,
+    0x496866d3, 0xa696ad08, 0xb5ae71db, 0x00c000a9, 0xead2c898, 0x6eed7f50, 0x0f468a9d, 0xf8314e05,
+    0xa053a43b, 0x9c9a23db, 0x0ba2b967, 0x413c123d, 0xc0ad78ee, 0xb931f25a, 0x7819dfb0, 0xb3a2715d,
+    0xb8b3864e, 0xbaf20593, 0xebd28bea, 0x9bae9025, 0xf43365a6, 0x81748007, 0x06e7cd17, 0x908c68f9,
+    0x46bcffd9, 0x535ba3b5, 0x5c9e71b8, 0x456f7ebe, 0x40dd849f, 0x30fb8db4, 0x951938a7, 0x868a780a,
+    0x0a39c664, 0xcf312f69, 0x81661e30, 0xe87941b5, 0x008bfd60, 0x2149ba9a, 0xedfd1156, 0x2e39656d,
+    0x9b92f90d, 0xe290e831, 0x1bb69b02, 0x7a7b3bb6, 0xe865a345, 0xd8e7e8f0, 0x48cf0f07, 0xf906c85d,
+    0x424b0970, 0x99b323e8, 0x830f6c76, 0x63fb5a2f, 0x83d5e768, 0xbc12f09f, 0x30deb322, 0x22a7f303,
+    0xe7d12218, 0x160303d0, 0x6e5685db, 0xdcb58d10, 0xae406470, 0x0f298fc1, 0x96c2b5ad, 0xf57e8141,
+    0xccba9c00, 0x1ac1a165, 0xac1d3bfd, 0x0318d83c, 0x4b04eadd, 0x21f3be09, 0x2a494171, 0x74acfdd5,
+    0xb30bfb91, 0x0c3b2d38, 0x85de3ef1, 0x0828f2a6, 0x0ad5f4a5, 0xaa71975b, 0xbc16be3a, 0x09160374,
+    0xd5636994, 0xcec27d7a, 0x51130bce, 0xf4cbecf5, 0x1bb413b9, 0xf8382b91, 0xa44134d4, 0x97c6dfc0,
+    0xf27c2e09, 0xb4f59a1b, 0xa26600e1, 0x0e631710, 0xa2d7235b, 0xa2cb8bbd, 0x765a8314, 0xcc04eaf2,
+    0xe0dc744b, 0xb4dc422c, 0x761e1418, 0x5be09e26, 0xf00b3be6, 0x8b2a315d, 0x9d02eb38, 0xfa0fb138,
+    0x4eeda98d, 0x6371055a, 0x43bdc376, 0xc291438c, 0xf0da0e22, 0x907875b3, 0x766ba0a2, 0x8d91c55b,
+    0xc6b94eef, 0x0d7d5d0d, 0x395da103, 0x116479e0, 0xaa700736, 0x4dae4b4c, 0x221b5d2a, 0x803320c9,
+    0x7c71185b, 0x79f9d726, 0x6f5eee88, 0xeb8ee86e, 0xe1e5ad88, 0x34e1639a, 0x16a7d1d9, 0x4f0bdc7b,
+    0x2ce1aa57, 0x2345fe43, 0x764f1141, 0x09fba753, 0x0d2bf5dd, 0x6b4528e3, 0x2847d5e3, 0xabe367ab,
+    0x538f0dde, 0x490f2beb, 0xc6c0bc8b, 0x4c482a93, 0xbc52b730, 0xf6200a20, 0xfe97f881, 0xe6679eb2,
+    0x3daf9921, 0xbd7eca02, 0xf7703fe8, 0xe1d5f86d, 0x3b1afe6a, 0xd03dcd13, 0x77d907d3, 0x1c802123,
+    0xf71cd4cf, 0xa363e65b, 0x1cfe14dd, 0x41a86ffe, 0xb368480a, 0x29536bfd, 0x7268d4e7, 0x8743a3ed,
+    0xc11f527b, 0x13d218d9, 0x7f56788f, 0x89a053fd, 0x8335206b, 0x3faf8315, 0xcd10f032, 0x66c8f3d4,
+    0xa9362661, 0xc28b9262, 0xee9a2992, 0x35d521f3, 0x212988a6, 0x9dd1e419, 0xecbafcfb, 0x4da31611,
+    0x8b7ae97b, 0xb51f7bca, 0x684d7586, 0xca330a1b, 0x7d51b4b9, 0xf21cfc5c, 0xfdd70643, 0xeb81f53f,
+    0xcdd22884, 0x713a7456, 0x3e86217b, 0x576cf2f6, 0x5d348a24, 0x2d51a844, 0xced537e2, 0xac47de77,
+    0x5be3e754, 0xacee0cdf, 0x3c242e62, 0x09c821d2, 0xf63b5842, 0xb1ce25d1, 0x9fcc7ff9, 0xe817a598,
+    0xe2a06eb9, 0x0e7ef186, 0x7b301a86, 0x15c5f2b2, 0x63fe9449, 0x6b248a36, 0xdb555ceb, 0x4939d63d,
+    0x133c77dc, 0xa28f03ea, 0xf71e1ad1, 0x88ec250c, 0xcc84118a, 0x3da9454c, 0xa211685d, 0x1531110b,
+    0x2434798e, 0x6050bd5d, 0x2583a423, 0xf220af98, 0xcb1f8362, 0x2b34461d, 0xda66a175, 0x822ab6ac,
+    0x87286dd2, 0x47ba120b, 0xd250da99, 0x518d43d8, 0xce318c6c, 0xdd5c9729, 0x0761c5a4, 0xc0c79398,
+    0x644ac956, 0xb13b21b2, 0x0e4bfba8, 0x37f5977d, 0x39b66ce3, 0xe42a3815, 0x2fc7a462, 0x48e1e3f4,
+    0x61d36e03, 0x193ec970, 0x49a13210, 0x24acf17a, 0x9a7f7fb3, 0x2fd13dd0, 0xfd67f9cc, 0x9533cfbd,
+    0xa1965022, 0x2d2f80c0, 0xdcdc53f4, 0x1a20b7e5, 0x68819dc7, 0x49826dc1, 0x69c8f8a0, 0x85230176,
+    0x5fe7f304, 0x539ffe6d, 0x54301bcb, 0xd779072c, 0xdd3294d0, 0x4161b6cc, 0x8ef64ab1, 0xa32a3f95,
+    0x4d4b01ed, 0x1d62a1ac, 0xf79a1829, 0xc945ac95, 0x5e7c7ea3, 0x2eb7c8d0, 0x35a0c7d5, 0xe0a26e73,
+    0x812c802b, 0x16643ebe, 0xa4e16c0b, 0x2915f3f9, 0x91f3d15b, 0x2f5ff658, 0x429c3a43, 0xf931fd70,
+    0x86ba6047, 0x88f05fe0, 0x0b231e42, 0x0a7f4b00, 0x31cadd9e, 0xc2edfb19, 0x01976906, 0xf50319c3,
+    0xd35d4770, 0x6ec4c002, 0x2bc98fb9, 0xf13efdc5, 0xe996746b, 0xc96da0d4, 0xe9098dea, 0x82283095,
+    0x44ebbd38, 0xe8ada7f9, 0xc1066ece, 0xd051cb93, 0x2559848e, 0x03d37ad2, 0x9db9c695, 0x6ec2478f,
+    0x1163f743, 0x094bed0b, 0xd5875501, 0xa45bec6c, 0xdc45c978, 0x4c28f553, 0x40fe1d6f, 0xf29b5fe5,
+    0xf6c57b95, 0x9150a9ff, 0x71023128, 0x5d840ba4, 0x54cca67d, 0x508d04c3, 0x15e03b65, 0x5b653b0d,
+    0x6de2b56d, 0xe0ad0c91, 0x329130c2, 0xe1856a79, 0x5ae9b8e6, 0x091bc905, 0xbce2a507, 0x22fb9b61,
+    0x17b4fca4, 0x6ac4d22d, 0x672ca4c4, 0x5541102a, 0x27d751f0, 0xa3115a4d, 0xdc2c620a, 0x787e9946,
+    0x359c7ca3, 0x05b4ba97, 0x26d252c5, 0x5c088fab, 0x16635327, 0x6585d0cf, 0xeca9b78b, 0xb81f95a8,
+    0x6233ce7c, 0x7438fe8a, 0x1e723447, 0x00d78a24, 0x50cf9680, 0xbb30e95d, 0x71389168, 0xb8b3afae,
+    0x4212763b, 0x7dc3f00e, 0x6bf3de70, 0x88602a03, 0xeb842d16, 0x990ea130, 0xb98d29a6, 0xeb5f25b4,
+    0xa72181c9, 0x0080a1f5, 0x4bd46bc9, 0x4df05cb8, 0x5206cd16, 0x1fcdd6b6, 0x8698007b, 0xe9fa4d79,
+    0x8d328aea, 0xd2cce47a, 0x10a79d25, 0xa69dff65, 0x0474db2e, 0x5335f33c, 0x66ba9b8b, 0xa425027a,
+    0x75bda4ca, 0xfc9e5a10, 0x375ea5ef, 0xc2ab1f0e, 0xa1fc1751, 0x8a30062d, 0xc53f3bd1, 0x47c538f5,
+    0x7c9dbd0a, 0xee9962af, 0xec4f6dc7, 0x72e8d1f8, 0xc8e66ee3, 0x5c750350, 0xb32c049d, 0xb45c435a,
+    0xa62d68c8, 0xfe451058, 0x5a7cdec2, 0x3df2ffe3, 0x97a6746c, 0x59d177a6, 0x350f200c, 0x918f4030,
+    0x036aea49, 0x732cd70c, 0x073e5387, 0x4f11ed7d, 0x3d76991c, 0xedfc2ff6, 0x12b16d6f, 0x3bdad7b4,
+    0xe696ff5f, 0x662b787d, 0xfa8f3116, 0x17af8d4b, 0xaeb0b4ac, 0x3297ef57, 0xb530b8f3, 0xb2c88651,
+    0xfc1099a2, 0x99cfad7e, 0xcba43a68, 0x103e531e, 0x05bb74f6, 0xee2b6ed6, 0x6321c39e, 0x3f180696,
+    0x4b58c550, 0xf4c601d9, 0x1dbdb459, 0x384ab562, 0x98f0c343, 0x3feb1567, 0x0cb7d31c, 0xae91ae5f,
+    0x2b76efb9, 0xa268bda2, 0x7bb8afe4, 0x7ad70fae, 0xba5247d9, 0x14ade73e, 0x646c2842, 0x3aaa2c53,
+    0xb938fbb8, 0x0960571f, 0x97bcef4d, 0x90ba0ee3, 0x95da6d0d, 0x4a120ada, 0x2218ec37, 0x001c2174,
+    0xce04ac5b, 0xc0859117, 0xd5f3f23d, 0xe58aae99, 0x9219e876, 0xd61ad0e0, 0x1090945a, 0xb861457f,
+    0xdd5ecc82, 0x807e07a0, 0xcbee7094, 0x898ad130, 0x22cdd8a7, 0x31b924b7, 0x54d6d482, 0xc1500ee4,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000009713344\
+                          46112864535459730953411759453321203419526069760625906204869452142602604249088 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587,
+    0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d187a, 0x62f99aef,
+    0x00000000,
+    0x8c1bdce5, 0xa1e525c9, 0x11de4f45, 0xa8b50406, 0x17f92e64, 0x8e352c3f, 0x757e0141, 0x1042f686,
+    0x9f04ec88, 0x03f4dce6, 0x61d74889, 0x94b40477, 0xad9587d7, 0x2a29a21d, 0x40845153, 0x4ddf1a3e,
+    0xa3fbe429, 0x6b44d47b, 0xe5630c9d, 0xb9bdaecd, 0x7ba8d49e, 0xd832d585, 0xdfdd7e57, 0xf085fa4a,
+    0xfd39c2d6, 0x4dd700c3, 0x2e2e8406, 0x674319d6, 0x5f000646, 0x8d11fe40, 0xfa745d7e, 0xcbf0407f,
+    0xf480dbe8, 0x82ca5a49, 0x08ec9a02, 0x45cb8979, 0x40876787, 0xe677535a, 0xd342472c, 0xafdc8f60,
+    0x1e0bc3be, 0x06869dba, 0xb98ebe53, 0xfda90432, 0x13d19f9a, 0xc9c8c455, 0x33ed94a5, 0x6c436e38,
+    0x01933671, 0x5515b052, 0x94cdb08e, 0x74a58936, 0x5cc51865, 0x36b7c6eb, 0x17d5b413, 0x75fa99e0,
+    0x824586df, 0xe9a1f7d0, 0xe77f2b99, 0x10b6907e, 0x68326778, 0xf349213b, 0xe4578ffc, 0xe2eebb55,
+    0xc072e433, 0x3492098f, 0xab1e843f, 0xc94311e7, 0xf8d29344, 0xd2a7030e, 0x213050b8, 0xc63e353a,
+    0x0324f3aa, 0x3fd806be, 0x9e9b06fd, 0x894b5390, 0xe54901f8, 0x8e6219ac, 0xad71854e, 0xc4afd847,
+    0x4625d150, 0x10c54c31, 0xb3668ee0, 0x691c4c21, 0x3d141397, 0xa94ee9d5, 0x11770895, 0xb9c06899,
+    0xb3e773bf, 0xb2cb55d8, 0x51bce405, 0xd367837c, 0x899eab7b, 0x71685ad2, 0x0cee99e5, 0xed895128,
+    0x50c15b0c, 0x51fd71da, 0x77cb8909, 0x2cdabcd2, 0x4e236685, 0x2af3a800, 0x04eaf734, 0xa241418a,
+    0x7b247c53, 0x7a504b8b, 0x8305e760, 0x3edbe0f8, 0xefdfc93c, 0xf0b2cc87, 0x04cbd888, 0xd8ed864e,
+    0x7444a44d, 0x5fdb476a, 0xc0fe56e1, 0x5e1579df, 0x83c02abe, 0x593f2b6e, 0xf85dfe3f, 0x8e1f11b7,
+    0xc9fa0ad7, 0x7539812f, 0x2a584e86, 0x03b1ce3f, 0x0fb88c33, 0x4319be00, 0x9a8e6418, 0x4012399a,
+    0xb232b8a0, 0x38cefe3e, 0x2fd1e25f, 0x874a197f, 0x15a213fa, 0x9abcd91d, 0x82031d5c, 0x276e42ea,
+    0xb3312d96, 0x443134a8, 0xba4c3d6b, 0xcf06c5ef, 0x27ca6e4a, 0xe106a690, 0x4380724b, 0x203368cb,
+    0x9bfb54c0, 0xdda6bb97, 0x4c6b8bb1, 0x5f7a8eaf, 0xc6f83a7a, 0xc38090f4, 0x84f9f36c, 0xa947e770,
+    0x1e525bae, 0x94d4cb5d, 0x92251142, 0xc6a1326d, 0xe40ffd4a, 0x994856ed, 0x42f1a5c0, 0xd4acf548,
+    0x9b9c303a, 0x103d7dd4, 0x2a3f276c, 0x86377934, 0xfe43be5a, 0x69b95087, 0x38570863, 0x12f1b3ea,
+    0xd0075b58, 0x0730cb38, 0x0f929216, 0x5737157d, 0x5d3ad846, 0xfde9c5ed, 0xaa2745f0, 0x2a2e4a1e,
+    0x4faa213a, 0x43dce099, 0x0daff073, 0xc8fe910c, 0x432d5010, 0xdb123253, 0x375f4145, 0xc10f1b46,
+    0x15e1dd7e, 0x630a5bb9, 0x0f8f1915, 0xca41caeb, 0xf691fe94, 0x004dd375, 0x9b86eff9, 0x39d16341,
+    0xde7194bb, 0x2120e976, 0xda9beea5, 0x156957fd, 0xbb804770, 0x4430525c, 0x6883c00c, 0x1f2ab78d,
+    0x949f508a, 0xd7c4b326, 0xccd443d0, 0x716bf602, 0x0a2750b6, 0xd0856dbf, 0x3bf36ea5, 0x426a8ccd,
+    0x2bb88f37, 0x470b93b3, 0x1236cfe9, 0xd6a7278e, 0xb1621c1c, 0x130d989e, 0x3d8a7515, 0xaa0c5fdd,
+    0x0319d3f2, 0x73765240, 0x8e99b022, 0x85c2e3e6, 0xcd53a9f5, 0xa8477096, 0x8cae3bde, 0x109fec9f,
+    0x50c3f6b5, 0xe2c2daa1, 0xaa3a376d, 0xb8b43d4f, 0x6adc693f, 0xdb13b8ad, 0xf8f95e64, 0x236e1376,
+    0xd5b0a7c9, 0x04896a41, 0xb50f9152, 0x56b40bef, 0xe06b8a80, 0xe609d4df, 0x91b3a9d6, 0xd0cfd030,
+    0xebfa85df, 0x244fc868, 0xcc3c6482, 0xb204c4c7, 0x3f030589, 0xa41ce6a9, 0x8997c95c, 0x7d3feec0,
+    0x1d2daa2a, 0xff0f347b, 0x3cfd2ced, 0xe95bbf54, 0x83ae9be4, 0x71b366e1, 0x9bc959e4, 0x9cfc1e18,
+    0xf9223bce, 0x40415768, 0xaba04ffa, 0xe481699b, 0xb3304aee, 0x0a8c3f69, 0xf8c33c18, 0xc75b3f2b,
+    0x4698bf09, 0x51ce6ef9, 0xfc1f9320, 0x536caf55, 0x9278cdfd, 0x1a138dfa, 0x5ff95ad7, 0xe1a28cb1,
+    0xee58bad7, 0x88bac844, 0xc54aa1cd, 0x993b65e9, 0xd38c93a4, 0xbaa3395d, 0x59cfb898, 0xb6d1ec4a,
+    0x997d0956, 0x8172bf7e, 0xa522f205, 0xab076345, 0x592679a5, 0x1dcf4165, 0xb7989bde, 0xe7afef8a,
+    0x9071dc36, 0xb090d060, 0x4cc8cd16, 0xa867eeec, 0xa57b2e29, 0xf1138f21, 0x1782e8ae, 0xefad5bc0,
+    0x0cf9e851, 0xdc56660c, 0x59aee69f, 0x1a96274c, 0x445649d6, 0x5b6cf8c9, 0x90b7deaf, 0xa89173e0,
+    0xc5828465, 0x378e56b5, 0xb215beb6, 0x31967770, 0x179241b8, 0x3dd7b3cd, 0x203b5cd6, 0xba5e5b33,
+    0x5d5d5a70, 0x92b91f0d, 0xd349e963, 0x973a2fe8, 0xd00cd3fb, 0xb085972c, 0x89ff668b, 0xf1aaf8d0,
+    0xe24ba241, 0x71cc4103, 0x24f5d30e, 0xc4a7b012, 0x7844ec95, 0x869805de, 0xc65dbc35, 0x119a3b19,
+    0xbfd6368e, 0x59810729, 0x7e4a704b, 0xced531a6, 0x6a3f24e5, 0x9f58ab28, 0x1830fa74, 0x16c34050,
+    0x9e08a041, 0x4169f707, 0x15bf089e, 0xde840e97, 0xdab1884c, 0x0837ac3c, 0x4fcbbaae, 0x9760f1ce,
+    0xed5f034a, 0x5bd0949c, 0x9382b105, 0x9d6f4d6a, 0xb22a9828, 0xa3f188d8, 0x5d82dfd7, 0xd038f4d0,
+    0xc7eb999c, 0x1ad85b97, 0x024885c9, 0xa52fc211, 0x55180b90, 0xf7671eec, 0x9378a85c, 0x9775617a,
+    0x55eb45b7, 0x62da6b70, 0x10cb87c9, 0x9b1106f2, 0x89013bfe, 0x065e06fc, 0xe3ce4530, 0xd2f64b29,
+    0xdf9376b3, 0x86c9ed5f, 0x5be8b4a0, 0x3850a33f, 0x1bc2fd38, 0x4dfbe519, 0x34ab740f, 0x24490378,
+    0xb9ee1c16, 0xdcc2d59d, 0x947529b4, 0x66e114ce, 0x3195eef6, 0x3dab9144, 0x6c530b64, 0xd70af491,
+    0x72822931, 0x5a9c6b70, 0xccb9fbaa, 0xbfad04c2, 0x1f81b80c, 0xfe5890c2, 0xf765a276, 0xc9c0070f,
+    0x859c26cd, 0xa9cbeb11, 0xdaac408a, 0xcda458f0, 0x2c661526, 0xa6e8baa1, 0xff29404e, 0x8ea5a502,
+    0x4254fa52, 0x43cbd920, 0xc1db7b66, 0x9ea2cfa4, 0x16fae5a6, 0x4b9ad74b, 0x8a7a78b4, 0xe2d79d52,
+    0x7efe4c94, 0xee92a86d, 0x21cb5aea, 0x516426ab, 0x98deb47b, 0x6114dc20, 0xe96da1a3, 0x7c1401dc,
+    0x188d8d33, 0x17fca8b9, 0x8c525816, 0x9ccd6c27, 0x8e0893c0, 0x33a9f1c0, 0xbe64bf8b, 0x92bfef9b,
+    0x1a656748, 0x44e42a82, 0xc07f7711, 0xde8bc117, 0xd2e7bb36, 0x9ea8cd0c, 0xdbea24e0, 0x275a8a1b,
+    0xb985fba4, 0x93d04932, 0x8198ffc5, 0x79fd0642, 0xd3bb1c7e, 0xeeea0177, 0x68bc8650, 0xb4762f6c,
+    0x50331204, 0xfd5ce34e, 0x71ccbe1c, 0xc773b957, 0xe21edc9b, 0x65eed2e8, 0x05e23892, 0x68853b65,
+    0xf00de883, 0x9f75a76b, 0x55b898f8, 0xcc287591, 0x4c5ac6c5, 0x9ee1f101, 0x500440b1, 0xd63a079b,
+    0x9c36148c, 0x1b1b1bbb, 0x915b520c, 0x10e5d722, 0xf2f5284e, 0x6083b790, 0x49cd8497, 0x36da12a4,
+    0xc198d8ef, 0x0ae14617, 0x48ae6728, 0xfc1ce933, 0x49638921, 0xf669a595, 0x6a54653a, 0x78f40773,
+    0x95f50e7e, 0xff24a692, 0x9a191803, 0xc279acde, 0x11b439bc, 0x3a6cb70f, 0x3aadff05, 0x95b54928,
+    0xb38add70, 0xc4310dfe, 0xb08c5fe8, 0x13fa5fa9, 0xc6c693df, 0x951061a3, 0xf7793e36, 0x015f33cd,
+    0xba624af0, 0xac8eee38, 0x74701c76, 0x7cb8eefa, 0x4967086e, 0xfc7dcbc5, 0xd2ce5eb0, 0x4a2b3838,
+    0x22ab0000, 0xaa802561, 0x634d013d, 0x78cc5f41, 0x9ba8a487, 0xdc4356e2, 0x8c58fa0a, 0x85d8bcd1,
+    0x513d9906, 0xffc820e0, 0x7b66c393, 0x7e742ef2, 0x45864d42, 0x1cd74148, 0xfd5fd00b, 0x2cbf3455,
+    0xdcd712b8, 0xcfdf2588, 0x8854dd73, 0x17ed8948, 0x54f99f43, 0x6fe477d3, 0xd6c57a59, 0x24fdfbfc,
+    0x2a008c5d, 0xf2a047fa, 0xc6f54dc6, 0x669137b2, 0x76708a70, 0x8e1fa666, 0xa35813b8, 0x3bad6d5e,
+    0x62a6816a, 0x57071710, 0xd37084c1, 0x127e8b19, 0x07971484, 0x81eb1384, 0xec118d2b, 0xf65e7e57,
+    0x3e011904, 0x469b1397, 0xa707764f, 0x3e682eba, 0x4c336b7e, 0xb8320cf6, 0x6542e678, 0x30eb740b,
+    0x7a437207, 0xbe5238f0, 0xb74a4f59, 0x85187f16, 0x706ed68a, 0xa7fc1136, 0xd7f5cbda, 0xd4871542,
+    0x3ffbda17, 0x5e9d897e, 0x4ab5bfc1, 0x0d804d20, 0x8343c5da, 0xc8bf6420, 0xe3e414e2, 0x938fade0,
+    0x44f2b581, 0xf7416e59, 0x94f7646a, 0x7c12603a, 0x1bcaf2ed, 0xa3e7b146, 0xe5996262, 0x8c09d2e7,
+    0x39aaa0b4, 0x6df791ec, 0xa6c9eab7, 0x011ab780, 0x1511d0d1, 0x0b7d5db6, 0x1a51e00d, 0x5d1591fb,
+    0x49ead1b8, 0xe263d490, 0xfc5aec3a, 0x57a36f79, 0x7c27356d, 0xa4a7cf3a, 0x74c34780, 0x6b6cba38,
+    0xa106b9a0, 0xe7365367, 0x20fff7a6, 0x49db093d, 0x546f6b59, 0x3e9d9f48, 0xc828403f, 0xe0abc50a,
+    0xd2b59c89, 0x7c35f442, 0x7ea8bbaa, 0xd7ae1c2e, 0x4041afea, 0xb10ad581, 0xbfbee500, 0x46847c81,
+    0x6c996dc5, 0x210f88ac, 0x9f58ed33, 0x88dd0a2c, 0x4e43f3b9, 0x2fd60d26, 0x1bc83d07, 0xb710a312,
+    0x2d285838, 0xca3430a3, 0x0a0af9e4, 0x527d37b3, 0x00eb122d, 0x1f070bd1, 0xff3ba6dc, 0xb97c10e0,
+    0x5361ecd5, 0x4293a19e, 0x08a3cfe8, 0x8c0a3226, 0xe77169fb, 0x458f9b2d, 0xa25e5f67, 0x17a82df9,
+    0x8c3b76f3, 0xf434c969, 0x81b7527c, 0x9ae892de, 0x1d2d4543, 0x80c419fe, 0xbfb1e95e, 0xbfa3a4e7,
+    0xca40dc64, 0xa52ca2a8, 0x9c790812, 0x6b0b26cd, 0xa33b5550, 0xaf051a03, 0x416ead38, 0x842f0390,
+    0xa5a70587, 0x9b35d3fc, 0x2c949060, 0xbfca5045, 0x78b4c85d, 0xfb563391, 0x21e2b8bf, 0xb9ac7de0,
+    0x6a9062cd, 0x683edf13, 0x72b99ee6, 0x6c57a64c, 0xe688e706, 0x0a96e9d2, 0xeaef58f2, 0xbe2a5382,
+    0xf94c689d, 0x4b6233bc, 0x4e5a6338, 0x5e63a031, 0x98ec7b3c, 0xcc378dc7, 0x507441e6, 0xae6b944a,
+    0x03bd9648, 0x4819fb0a, 0x5e9c4a3e, 0xc525ae2a, 0x4a5fc4a0, 0xbf69e80b, 0xa59880c3, 0x9d064e75,
+    0x0a7b90ec, 0xadb785c4, 0x866ff430, 0x2da1b330, 0x433880eb, 0xcc0f3e96, 0xb1429d22, 0xdd9760d7,
+    0x093862da, 0xf06b51ba, 0x1521128d, 0x4584f375, 0x01c7f46c, 0x196209c6, 0x67dc83d2, 0x3668c1b8,
+    0x4330ed19, 0xc64e04d7, 0x7d9d5321, 0xdda9bd04, 0x6f20e9d4, 0x98a7a590, 0x9562a1da, 0xf76569fe,
+    0xf8a3a418, 0x39c4a6eb, 0x90539ceb, 0x899846e5, 0xb401d5b4, 0xb3e8900f, 0x05663cb7, 0xe47986d4,
+    0x662d5d19, 0x7f5362e2, 0x9c7c7434, 0xe1c829c5, 0x983117d2, 0x54e49af8, 0xda6e605a, 0xa73794ce,
+    0xba925dfe, 0xb50b979a, 0xa3c2feeb, 0x2406e7c0, 0x7167b48f, 0xb23547ca, 0xc3d7f7d3, 0x4de2dde7,
+    0xf3d77b41, 0x8b3ea7f5, 0xfd0ee40d, 0x23028cac, 0x10e67dd6, 0x964ac589, 0x189f85d4, 0xff151c5b,
+    0x303524d2, 0x79f65409, 0x428c87f0, 0xcab881dd, 0x1630b5fe, 0xc23d7c5a, 0xee76646c, 0xd6106a8d,
+    0x0b9d6037, 0xdb7f70a2, 0xdf172ed7, 0xce389a53, 0x137eb46d, 0xb0887a0a, 0x5360f789, 0xe37a1b5e,
+    0xf4ea3c13, 0x08bb83b0, 0xdf8eee6a, 0xdbbd24f4, 0xc1f7f1bf, 0x9c318cfb, 0x1c3301eb, 0xaa44727b,
+    0xd655ca29, 0xa8f71b64, 0x1ca969c9, 0x27769588, 0xc6afeebb, 0xed93a8de, 0x18814d87, 0x59df84d2,
+    0x230c7bce, 0x52b424de, 0x475fd4e1, 0x66c783ac, 0x2b083f08, 0x07aae0ce, 0xa664d362, 0xfc61f83e,
+    0xd1fd449d, 0x748483c5, 0x51c1ef2f, 0xfb8a4ac8, 0xcfba7c6a, 0x394d3828, 0x14379035, 0xf1527f5a,
+    0xb7d29d35, 0x478be650, 0x35108afa, 0x1f1ddb37, 0x40419752, 0x7e456dc4, 0x57a97341, 0x032117df,
+    0xb506a427, 0x9f179020, 0xc34593f0, 0x150a2fcf, 0xa10494b1, 0x07890aa3, 0x8b5613dc, 0x46cde33e,
+    0x05bcfec0, 0x131ff9aa, 0xe0cc0413, 0x0b84e897, 0x3cc2c23c, 0xcc966b0a, 0xa4b1544b, 0x5c0c9b31,
+    0x4ba3f55e, 0xf2ee69dd, 0x1cd84744, 0xfab864f8, 0xa7fa7663, 0xf32a2219, 0xc5556dac, 0xda9501bf,
+    0xa8191d26, 0xb8aa5bfc, 0x6d736015, 0xe02d2cf4, 0xb2795cef, 0xc1a594a3, 0x1cef63a4, 0xdc64d4a6,
+    0x0a1b51e9, 0x625072b5, 0xfdcd087b, 0x8a70f8b3, 0x213c9428, 0xfcfde937, 0x1afeedc4, 0xfd4617be,
+    0x509291f3, 0x1ea0460f, 0xb3338b91, 0x5aace540, 0xce362fcb, 0x178cff46, 0xb8db6412, 0x7cff43c1,
+    0x02dca03d, 0xf8c8d85b, 0xe958dae1, 0xca0b505d, 0x45a7e571, 0xd073ca2f, 0x75c9e4d5, 0x84ee307a,
+    0xa6f4a041, 0x4d97a5a5, 0x560b2446, 0xdb5ebeee, 0x43348f13, 0xd6c2503a, 0xe0fba359, 0x82530a0f,
+    0x7c538b8f, 0xc7cf6bf6, 0x32d0467b, 0x8d56bf58, 0x463996e5, 0x3664c1e4, 0xbf6ebb30, 0x9aabe6fa,
+    0x1ea6ff71, 0xc21c1589, 0xa147e9d1, 0xf4be6561, 0x22038fd6, 0x74919888, 0xcaa0983d, 0xe9c0e258,
+    0xc3e50eab, 0xc8268652, 0x52693945, 0x601fdaac, 0xe8f62fe7, 0x02def25b, 0xf2df387e, 0xe64d4ea9,
+    0x5a5928ab, 0x515a333d, 0x8af53027, 0x1317ec81, 0x536d2efb, 0x66e94bba, 0x741d6d88, 0x3bad939b,
+    0x0dd79270, 0xb46408dd, 0xe8448d7d, 0x25221a1e, 0xa3b034fe, 0x1a9037dc, 0x80475010, 0xc427dcc5,
+    0x73f042e1, 0x17d69c28, 0x6cf1a9e8, 0x1e51efc0, 0x5fb8073e, 0xfdd25163, 0x6a5f86dc, 0x84aba56a,
+    0x8987ee3c, 0x0d482cb6, 0x292a32eb, 0x10606278, 0x40045d0a, 0x75753d23, 0x82d83e6e, 0xa251b314,
+    0x6a928e6a, 0x84f4dc51, 0xdedcafd8, 0x8916af26, 0x344cdcd3, 0xb3c6cc35, 0xc9aac513, 0x6ddab07b,
+    0x22bf7255, 0xc41f3c33, 0xfaa1f6c2, 0x10db74d5, 0x8d7bd6c0, 0x8f84cf12, 0xc8971cfa, 0xe83e7a04,
+    0x18d5b6f6, 0xaeecf0e0, 0x8c0fa342, 0x7824d6fd, 0x303e3554, 0x738a6e00, 0x6a8a8258, 0x2dfad7ed,
+    0x01b7dc1a, 0x21c39ec7, 0x02d2bf85, 0x48e67608, 0x4cfa3169, 0x92bb1970, 0x9a975bc4, 0xde3e530b,
+    0x941acd0d, 0xc2fa5b8c, 0x108d4eaf, 0xf6acf1c0, 0xaf782fe4, 0xd11cc824, 0xd9226a4c, 0x6066251d,
+    0xc781ddfa, 0x8ef67d1d, 0xef0c4a55, 0xfdc04a70, 0x9a147c7c, 0xdbb7520b, 0xafc20c6d, 0x7f814297,
+    0x83389eb9, 0xef88682d, 0xf7e1cfcc, 0xa5288122, 0xcb91e19a, 0x83a10aa6, 0x925f8409, 0x675ea9fb,
+    0xc4efb76f, 0xe67525c5, 0x8999d2d1, 0x26ecb3d4, 0xe4cbf606, 0x50dac44f, 0x1449da2e, 0x74e34fbf,
+    0xb601a413, 0x82c52f02, 0x507d2d7d, 0x3a391d65, 0x6e564822, 0xea34c89e, 0x6ac8cd63, 0xde66ac92,
+    0xbdea5736, 0xc0668a65, 0x0469d79d, 0xc4b8d56c, 0xa78504c4, 0xa100cde4, 0x08cbf0ba, 0xb01a1c6c,
+    0x57e24b7e, 0x90c4a563, 0x499c206b, 0x51f99838, 0xc85d01e5, 0x205dfb62, 0x36c02c43, 0xa9466e58,
+    0x491b3e18, 0xd47371bd, 0x917cb896, 0x4e079896, 0x52f35849, 0xaa070475, 0x5813bd89, 0x8776ccc8,
+    0xea6d1830, 0xe7d3dd12, 0x52a12a11, 0x4bbf2f99, 0xf20afa71, 0x794f5a94, 0xc6bb9489, 0xbc483d6e,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000004856672\
+                          23056432267729865476705879726660601709763034880312953102434726071301302124544 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3,
+    0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3d, 0x317ccd77,
+    0x00000000,
+    0x85eae9c1, 0x1b694439, 0x99c7278f, 0x54d79eb5, 0x167f10c7, 0xff61c7bd, 0xd70d3702, 0x34a5fd34,
+    0xc9b7d369, 0xc482dc6b, 0xd2f0d20b, 0x74d97eb7, 0xe48d75dd, 0x9d7dfb1f, 0x6c14eeae, 0xf1102000,
+    0x4086d731, 0x8e8fe5c8, 0xa613e46f, 0x07b9d4ee, 0x85c69883, 0x50dc1303, 0x363f03e4, 0x7e73638c,
+    0x07377076, 0xae673575, 0x64afff04, 0xd5ea0eb2, 0x80c543f1, 0x3078d43d, 0x21446d38, 0x3f774df0,
+    0x6e5fb307, 0x5979ee46, 0x39bd038f, 0x627af549, 0xb8838d09, 0x46407712, 0x8b3caf3d, 0x05097a3a,
+    0x45627f0c, 0xeed9b12a, 0x9ee4633d, 0xbfbe1cc4, 0x074f130f, 0x54b57dd2, 0x9e0ad213, 0x9078461a,
+    0xbaa6bfc5, 0xd18d4042, 0x901b693e, 0x3bacdf2f, 0x275c9c4b, 0x23ba9d83, 0xb1c9e5a4, 0x3d2de053,
+    0x51dc5c86, 0xfc4f8fd5, 0x9839d83a, 0x56322842, 0x4c7e35f2, 0x497122d1, 0x752d8f7f, 0x3407132e,
+    0xc6c193d8, 0xed2c83bd, 0xfccf2e95, 0x2ed1fa0e, 0x068d483b, 0x313da4cf, 0xd5567da9, 0xc4f30303,
+    0xffe3bf7e, 0xa24c5335, 0xc7f49583, 0xb5df83d4, 0xffaee8fe, 0xfb1b6f45, 0xa5c1e754, 0x87bbca24,
+    0xf62ab2cc, 0x1d090b2e, 0x2841944a, 0xb2adc346, 0x88008342, 0x59e8f037, 0xbe4e99f4, 0x6c68200b,
+    0x15e53c01, 0x210ddc09, 0xbaeba9e1, 0xfd8f714d, 0x67ae86ac, 0xd7835c0d, 0x9b5165c2, 0x43d33602,
+    0x9eaaccfa, 0xeb0ce5ef, 0x3effcb81, 0x836cb854, 0x07fb6e44, 0x783673fd, 0xf250c3db, 0x053e7b6f,
+    0x75113229, 0x91313725, 0xb1c5a736, 0xf2cf3c01, 0x133bdbbe, 0xeae1dfb7, 0x99c2d783, 0x20d18dce,
+    0xaa4dadb6, 0x6fe1bc67, 0x164b70ed, 0x67785b36, 0xe024d3fb, 0xec65fa65, 0x73275cac, 0xddada2ab,
+    0xdca359ef, 0x76691a53, 0x2cd37029, 0x708d2f9e, 0x98208578, 0x036adbef, 0x5592c804, 0x95eacce8,
+    0x9ee6f829, 0xf2f0fcb8, 0xe3bf7dc2, 0x71f44c04, 0xda92d499, 0x952cab2f, 0x3c441a6a, 0x46184448,
+    0x5960f97e, 0xa245eb2f, 0x44aa11a6, 0x210aaf44, 0xb211510f, 0x7867d2d5, 0xfd59b2da, 0x7d68e758,
+    0xa2c65038, 0xb716fbe3, 0x20076790, 0xef3c24f4, 0x2f54880c, 0xa32f2abe, 0x6328967f, 0x223f0669,
+    0x715910f5, 0xdccc5c04, 0xd11fd0c8, 0xabe5c403, 0xf6ac4f69, 0xfd0bbeaf, 0x31653bbe, 0x36b1920d,
+    0x4d1439b1, 0xd0fd8624, 0x1b0fc057, 0x52461fec, 0x58418ea7, 0x1757f68d, 0xb44f3f13, 0xb5d77607,
+    0x34f72d8b, 0x558798c9, 0xc43b3120, 0xc2f53e6e, 0xebb66a6f, 0xfa414433, 0xe7196972, 0x41070de4,
+    0x791c18aa, 0xe678118d, 0x620e2e5e, 0x58ed148e, 0xf6992f78, 0x1ed9e3a3, 0x4f4580c0, 0xffccd475,
+    0x3794ca35, 0xd3dcb959, 0x9958f6c5, 0xe635c6cb, 0x5fed630b, 0x8fb92194, 0x37cc0849, 0x769f45ae,
+    0x65d4c2c7, 0x648ee118, 0x7b3488dc, 0x4a1cfdc3, 0x5b6a6031, 0xbfb88c1d, 0x0928f33a, 0xe15e2396,
+    0xe4915542, 0x879e282e, 0x91908f89, 0xefbe6ec7, 0xcab3f037, 0x1fb50486, 0x3607ae61, 0x577d7c33,
+    0x0eb0f4c7, 0x9fb2d106, 0x03ef3c04, 0xffdc3aa2, 0x2a20b17c, 0x3628713d, 0x668b8a88, 0x83a5310b,
+    0x96cfaedb, 0x5a3cca7a, 0x2f4ffff5, 0xf733393d, 0xd894bbd4, 0x97c7620d, 0xd2f9802a, 0x4fdc5471,
+    0x4ab61906, 0xe00b6d6b, 0x8e3b2a27, 0xf8aa6135, 0x8023f5bb, 0xd22437b4, 0xc89c409e, 0xbea235fa,
+    0xfec020b7, 0xbf10ecb2, 0xfae90584, 0xcb954154, 0xcc714e05, 0x3aa7a58d, 0x91494fc9, 0x6fb0db42,
+    0x787f68e9, 0x5308c909, 0xff862e1e, 0x1ef81bae, 0xd8d1d0e6, 0x66d29d0a, 0xa5152c7e, 0x872c0e24,
+    0xd17be58e, 0x887df05e, 0x6b541a30, 0xa716e27c, 0x838142f8, 0x214798a7, 0xf217b44f, 0x83a6ed67,
+    0x228a8b91, 0x8d62e55a, 0x3a4cd656, 0xaa60e4df, 0xbda1b6c1, 0x2c8ac4ac, 0x36ccad56, 0x6c8900fa,
+    0xdc5f8ab1, 0x0d54c665, 0xffec0c1e, 0x6df1a80f, 0xd1084648, 0xc9bad0bc, 0x2c796d71, 0x016787ba,
+    0xcb1a6c61, 0xcd464212, 0xafcd1c7e, 0x89af1fbe, 0x6141f202, 0x2ebbf109, 0xc0f04a17, 0x3db41589,
+    0x082d0a82, 0xc1d0d341, 0x22a1b79d, 0x8d63941d, 0x434cf098, 0x70d5b3b9, 0xa640ff66, 0x1f9f9ce6,
+    0xc977bdd6, 0x2a24b1ee, 0x165c0061, 0x7a285dd7, 0xac8063ef, 0x5d8841dc, 0xa8dd7359, 0xd8d8c0fb,
+    0x331c8d75, 0x9bb873d4, 0x6f51384b, 0xd138c8c6, 0x1289dc62, 0xd9a7625e, 0x5e78391f, 0x0c9ece12,
+    0x3fd8c8c3, 0xa86a34ad, 0x126be6b4, 0x127c241b, 0xb572ca32, 0x4ee0f293, 0x955c81a4, 0x5b326749,
+    0x49ecfdd2, 0x435829bc, 0x52fdf9f0, 0xdcbb6dea, 0x0531fff2, 0x9cea3d8e, 0x49af66c8, 0xbb682ecc,
+    0x7ce1996f, 0x4a4d75ea, 0x6ff8889e, 0x0381b716, 0x5aa04952, 0xa7e1b72e, 0xaee05e6c, 0x20d4e18f,
+    0xc0bb5aa6, 0xae44abc6, 0x12c230df, 0xb2aafd7a, 0x2344d703, 0xee807748, 0xc45b26d0, 0xbc80ffb6,
+    0xa94d7483, 0x64b5d021, 0x5d50f092, 0xa4d98db0, 0xd962eea0, 0xd003f681, 0xb6aac38a, 0x843e6625,
+    0xa6e1021e, 0xa0422f5c, 0x3049a4fe, 0x71cc7fda, 0x60321620, 0xf37d9074, 0xcf5846a0, 0xe63eb09b,
+    0xe8889d11, 0xd5db87c3, 0x6e59f6e3, 0xd2c78c99, 0x599cee59, 0x9a45ff17, 0xc0b8a93b, 0x84d51980,
+    0xcf3393bb, 0x8fbafaf3, 0x13be9a65, 0xa4936e2b, 0xa2d3952c, 0x2efe1907, 0x00952590, 0x43d5c9c2,
+    0x48ff02a5, 0xe8e81bfa, 0x58ad0f12, 0x30632dfb, 0xf11a37e3, 0x110b60e6, 0x76a59fdd, 0xb1c2ae35,
+    0x7c1e72c4, 0x3dfead85, 0x212461fa, 0xbe88cd6e, 0xce248c46, 0x0c61fe25, 0x43268850, 0x6e684375,
+    0x43b41211, 0x03d98125, 0x46878f76, 0xb4f11b51, 0x181d362a, 0xf48ced12, 0x2d44a7d6, 0x9c5b5f7c,
+    0x3a6d82b9, 0x3a047623, 0x99f12186, 0xaf5d2b64, 0xf9ade81c, 0xc5c19e76, 0x80578c71, 0x991b7ac9,
+    0x1d608370, 0x5aedc862, 0x18f59f03, 0x516f694f, 0x36f2a3be, 0x2d096927, 0x7c62b078, 0x84d1e482,
+    0x489065fd, 0x01fe9d75, 0x9d6fef37, 0x3bb7efae, 0xc2463a3b, 0x606a2066, 0x3c0ca632, 0x6ae0c4d8,
+    0x990c52a2, 0xe2bf073e, 0x0465704e, 0x9bcb0509, 0x84975180, 0x1e1c62ad, 0x5cfa1761, 0x965cd1a8,
+    0xcb47b3fb, 0xd24c07dd, 0x7de25ab8, 0x42a8fa40, 0x737a0d50, 0xfa72d99c, 0x232cf7d8, 0xab155f3d,
+    0x3f08e672, 0xceda217d, 0x66746a6f, 0x389198d4, 0x5bc4fa4e, 0x771790b3, 0x1eab10a6, 0xd6ce0bca,
+    0xd7c3fa0a, 0xfb5d16f3, 0xd6e1b3d4, 0xffac53d1, 0x0e4934be, 0x5029bd7e, 0x0a9f3432, 0xe9610601,
+    0xaa56ec81, 0x1b58bbde, 0x6d699bed, 0xef6c42df, 0x376f1f4d, 0x2f740830, 0xf19efb74, 0x1887f070,
+    0x31f15d41, 0xf7fe2612, 0x06011afc, 0x7829c1e5, 0x1c043550, 0x297034a6, 0x14c574e7, 0xfa08dd95,
+    0xca58ed23, 0xa96cf932, 0x3f768298, 0xc16b1a3f, 0xcc3e51e5, 0x257dc7bb, 0xb14760ec, 0x812f8092,
+    0x5fa4e3fd, 0x11a096b4, 0x3125fa78, 0xf926ea70, 0x10138c3a, 0x63c1d588, 0x5010c3a6, 0x46dc8475,
+    0x22560ac0, 0x0ef77f01, 0xe5a23447, 0xe01cf544, 0xabaca70a, 0xeffd3c17, 0xa6b2fe37, 0x527fbb2a,
+    0xa6b4eabb, 0x98f435d1, 0xb9aa6ebd, 0x4ffd5011, 0x171732de, 0xd883602b, 0x0dcc404f, 0xd34b1db6,
+    0xdd430035, 0x993181ed, 0xb92b25b5, 0x5fe7377a, 0x32e69e7d, 0x7ee237d8, 0x2f2811ff, 0xac7556b4,
+    0x17aceb16, 0x2b348eb7, 0x9331bc35, 0x70019283, 0xafb0cdbe, 0xc5e8dc06, 0x81b77ded, 0xbd6518a5,
+    0x56f6d169, 0xa11a028b, 0xb656a2cc, 0x91f6044f, 0xc5d6ad6e, 0x1e01171e, 0x0fba85ea, 0xcf79b55b,
+    0x3fba7c86, 0xcfd24f25, 0x2a8913ab, 0xafa24660, 0xa50d60cd, 0xcb40d2db, 0xfd739924, 0x9dadd364,
+    0x3291d05f, 0xa99836f2, 0x7f6eb5a8, 0x43e0ff5c, 0xeeb55e71, 0x14f08958, 0x843abd09, 0x60bc4230,
+    0x833b71b5, 0x59f5dd2b, 0xcc71bf23, 0xe7e01782, 0x7259b1ea, 0x1691ad41, 0x80da2412, 0xd3684c48,
+    0x248c23ac, 0x72f7628f, 0x0cb15a1d, 0x401f01cc, 0x6496526d, 0xb1496d35, 0x3d54eb0b, 0x7d67cbe0,
+    0xe9f2b7b2, 0x322475ec, 0xbec246b9, 0x62ec2911, 0x69ac2b4e, 0xa92eabd0, 0x807c4d58, 0xaf7125a8,
+    0x29a3e72c, 0x02b4e185, 0x3712cf04, 0x17b4c107, 0x4a1f7451, 0x0323ca17, 0xfaf5e9f3, 0x44cebc9c,
+    0xa7772fbe, 0x5146e090, 0x2b5e757f, 0xe79137fe, 0x09bfcb80, 0x43ae3479, 0x2276c8a8, 0x68827da3,
+    0x8d88e562, 0xff73f323, 0xe65695f1, 0x6fc40741, 0x39037da2, 0x4f16b339, 0xda814f45, 0x8a943be1,
+    0xdcebc427, 0xdf1e1fb6, 0x035c8025, 0x48dced75, 0x8de7588b, 0x76cb2ae2, 0x26abae46, 0xad75644e,
+    0xc6fa594a, 0x9973730b, 0xa4e7333e, 0x8ee777ac, 0x3a16bbcb, 0x6aacad11, 0x52095e16, 0x7ca61291,
+    0xe67e7ad7, 0xb3ef85e4, 0x0960c9b2, 0xc6b25640, 0xba30edcb, 0x73f4be80, 0xab0c3303, 0xb4cf9dbc,
+    0x70281c09, 0xb7a4b27e, 0x0e8a0851, 0xf7e845d1, 0x2c74791c, 0xb612afca, 0x4852d568, 0x40237e73,
+    0xf5c2f821, 0x11d87361, 0x2f76b7a5, 0x25ed3222, 0x5e392767, 0x376065f5, 0x26506f09, 0x494efc3b,
+    0x3fbdd644, 0x30ca6e46, 0x37f5c28c, 0x98d929a0, 0xb72ce596, 0x0453e046, 0x6011fe75, 0xcce4428e,
+    0xa5f9b43d, 0x9be8293f, 0x250c309f, 0x61bd0ddd, 0x513a38d2, 0x9bb7797f, 0xd8428e0c, 0x8b032961,
+    0x457d3ecf, 0x1511f71a, 0x44e582ca, 0x649b8636, 0x67bebd0a, 0xb7724498, 0x5df109e1, 0x7d3a2100,
+    0x027034d5, 0xb0b431d4, 0x9697d2d4, 0x16240ada, 0x2020f8f1, 0x1b5aca53, 0x10feed00, 0x3c6fbdf2,
+    0x251d2f60, 0x192326c7, 0x8cdba6c5, 0x13eca907, 0x999a7e61, 0x1c297810, 0xccf58b82, 0x4cc64f84,
+    0xac103824, 0x2cc3a17e, 0xb6bbda22, 0x1f72179d, 0x0ebc1121, 0x1628f063, 0x0e35a7de, 0x9bc3ab6a,
+    0x947b8663, 0xc7feca23, 0xa41b58f8, 0x85f9b305, 0xe09f9d96, 0x90665266, 0x96003524, 0x7a8608ca,
+    0xcd11dcde, 0x03674b6a, 0x6d3ae864, 0xb1139909, 0x22d16e38, 0xf71ed936, 0xc5a213ef, 0x2fa89d1b,
+    0x913e8441, 0xa51d2299, 0x7b467651, 0xfdb41ff9, 0xb26d4c0e, 0xf56a6885, 0x2d335bd7, 0x1b2ad0f1,
+    0x73641099, 0xae660346, 0x5a6f5af5, 0x786ddf3f, 0x8c2d605e, 0x9aeb859a, 0xc0239fd9, 0x88622217,
+    0x69e2203c, 0x8ce6d1d5, 0x31447895, 0x6135f9b9, 0xd03c1e70, 0xff4ecfca, 0x0f19c06a, 0x4aa8573d,
+    0x62a1376a, 0x33077987, 0x08dd2aa6, 0x0f50cdb8, 0x52c9cc80, 0xfb8f9712, 0x6a655957, 0x272454f0,
+    0x6399e421, 0xf6ac7c0d, 0x7cfd9eaf, 0xa64fc2fd, 0x18442975, 0x00c95217, 0xed189251, 0x5006b745,
+    0xa6c83bdc, 0x72ec3aba, 0x5fd1bb4e, 0x3b562706, 0x44a89ea1, 0x4a518056, 0x59490c2c, 0x506c085b,
+    0x3088a2b7, 0x30629a1a, 0xdc1d06e6, 0x5bf0ca59, 0x2a168aa7, 0x1c0c0f50, 0x10107896, 0x67a57859,
+    0x3847b0c4, 0xa4aa2bb0, 0xdfcdef16, 0x7c81d772, 0x8757a29e, 0x205d1cea, 0x94ad050a, 0xd61330ed,
+    0x03e2c4fb, 0x5cc0769a, 0xe05b6922, 0xc1dc0fbf, 0x9e58449b, 0x5c2f1287, 0x5bcf8160, 0x5d62715b,
+    0xda972a89, 0xd73ca253, 0x22357e6e, 0xf6ce137b, 0x277d6797, 0x1ad826f8, 0x5a1af439, 0x4fa2126e,
+    0x89eb2db4, 0xd20293cc, 0xafff960e, 0x2ee34cff, 0x1e2a271d, 0xaffadafc, 0x783115a4, 0xd210d179,
+    0xcb1d5806, 0xf90a566c, 0xeb0e886c, 0x63136c72, 0xbce3a670, 0xce492411, 0xb7385588, 0x1e50cd49,
+    0x45b30bc9, 0xc0b4c5d4, 0xe760586d, 0xf06f38e9, 0x14782cef, 0x7488100c, 0xcc321511, 0x280d0856,
+    0x2d2a0a40, 0xf4b9e3ed, 0x15de37fe, 0x9ff1eba1, 0xa0367b7d, 0x7db3bf40, 0x0003d1b2, 0x22f22472,
+    0x12af9270, 0xff2efc0d, 0x5c1c04ab, 0xe6db8187, 0x51853295, 0xd115e9b7, 0x22abbbb8, 0xf37a8c21,
+    0x8c71e85c, 0xe5b8cfee, 0xf0d1c4b3, 0x1deb007b, 0x91ac45eb, 0x75431946, 0x2312732d, 0x9f76be3b,
+    0xd14c5581, 0xe124cba9, 0xb5e3cd59, 0xc01b5df6, 0x245fbd0a, 0x327f4240, 0xc9c92c6d, 0x33288863,
+    0xf3642b85, 0x385e40dc, 0xb4b53551, 0xd1c8a3ed, 0xf79b2541, 0x9afbfa86, 0xf96309c4, 0x76643960,
+    0x8744115d, 0x86ef22d0, 0x80757603, 0x6cded241, 0xeeabd118, 0x39761392, 0xb4ef2a9e, 0x6f4bcaad,
+    0xc36f7641, 0x56a2f298, 0x520b098e, 0x82fa1833, 0x48dfe881, 0x30a396e6, 0x356c890a, 0x2a3fc322,
+    0x473a858b, 0xeadbede9, 0xe6508b5e, 0x019f0626, 0xadfcb5da, 0x2b27223c, 0x737de393, 0x168360ab,
+    0x26b29a29, 0x891ecb93, 0xff39875f, 0x2143e46e, 0x9fcee9a9, 0x18330698, 0x3d6beb0f, 0xe95d4d97,
+    0x1209cf2d, 0xe14cd6aa, 0x2d11da60, 0xee4974d9, 0xe415a074, 0xd7bdac5b, 0x055ab89b, 0x94e5b9b9,
+    0xdc024b3e, 0x27da855c, 0x9118f3a8, 0xac93e79f, 0xeec6396a, 0xd0640836, 0x89861b28, 0x665a469b,
+    0x81db9ccf, 0x11ab56f1, 0xd3f2f422, 0xd3316ad0, 0x2324e5e1, 0x3b40e986, 0xb2b923de, 0x6cca8321,
+    0x99417a3f, 0x17474ee9, 0x355ff289, 0x18ddf845, 0xed500558, 0x1ddb9683, 0x6b7e5a6b, 0xbcc32760,
+    0xab58bd3f, 0xb6d0e024, 0xe3fda901, 0xac71d548, 0xfd6f8c97, 0xa2ed1ddd, 0xd4c3df27, 0x4a53dfc4,
+    0x05fb8511, 0x5776638e, 0xd3577956, 0x33da6cb9, 0x0de7873e, 0xafece0a9, 0xd2a95ee9, 0xbde989b4,
+    0x6cb9c717, 0xd2dbc672, 0x08b487c5, 0x7a46c163, 0x93971392, 0x5cd43dc9, 0xbc826b52, 0xda3f6d61,
+    0xc29a6f93, 0x9f36008d, 0x79413681, 0x17b38999, 0x490a3428, 0x2f7b2fa3, 0x928428bf, 0xb6a84701,
+    0x5a205053, 0x711d97e7, 0xc6919a8d, 0x77613b4d, 0x15c448f7, 0xbebfb6c9, 0xb8d48ac2, 0x3c7f5fed,
+    0xd9b2330a, 0x26e4878c, 0xa0727f27, 0x0a82a034, 0x4de14996, 0x47189cc8, 0x27ba52e7, 0x16cb16b1,
+    0x18e75cd5, 0x2a357d17, 0xa970491a, 0x739a4e8b, 0x07c3d9f6, 0xce74b678, 0xa7c5aaf2, 0xeb56f179,
+    0x528ffc91, 0x262af8b2, 0x2067db1c, 0xa8e51ef0, 0x9539e3c6, 0x38bea02b, 0xfe4a4e36, 0xa568614a,
+    0xe5c39da9, 0x88cf878a, 0x3d6230b6, 0xdd61570f, 0xe7570a53, 0x7db78789, 0x594a4030, 0xffa74c6f,
+    0xa1357ee8, 0x8e4aa24e, 0x09122fa2, 0xa3a9528c, 0x7b9111d2, 0x0908e8db, 0x5dcb20c5, 0x5aefb99e,
+    0xbdc2b773, 0xc4704463, 0x9f25d090, 0xa7c72752, 0x203d2c78, 0xf0fee74e, 0xf1e3f317, 0x35ed34a6,
+    0x8be2aa4f, 0x0e9c1340, 0x8f622f43, 0xc69f304a, 0xbbe6ab1d, 0x1aff56eb, 0xb192edb3, 0xb655abbf,
+    0x88f30d18, 0x70438f17, 0xadbb52d5, 0x4a7ab44f, 0x73acb3ec, 0xcb5d7860, 0x5a08c9b7, 0x64b1c070,
+    0xfaf1eb1c, 0x63cb3e37, 0xdce4fe12, 0x9ae4d48e, 0xe3d75dc4, 0xe510ada5, 0xcc36cbc3, 0x63b4dc4f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000002428336\
+                          11528216133864932738352939863330300854881517440156476551217363035650651062272 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961,
+    0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461e, 0x98be66bb,
+    0x00000000,
+    0x82ece60f, 0x555a4c26, 0x6e6f28d5, 0x3709f6a1, 0xaad22651, 0xbf4932d2, 0xb43309c3, 0x2d30c310,
+    0xf23f7e5e, 0x4d9de909, 0x288c402f, 0x28c0243b, 0x5761404a, 0x56ab1a94, 0x8e8566b7, 0x28cc8c0d,
+    0x6c732961, 0xd8c4105f, 0x0a6aafae, 0x87c60964, 0x01bb204f, 0x18789abe, 0x55710cb9, 0xc4724fd6,
+    0xa28224bb, 0x40e5fd93, 0x2491425a, 0xece5b332, 0xa4dd2b10, 0x0881d6da, 0x4d934d37, 0x9a1390a8,
+    0xef93ff71, 0x09224335, 0xc111eec3, 0x0e7141ca, 0x64487878, 0x4dcd4877, 0xa6978a51, 0x83de2868,
+    0x9725453b, 0x0583acc4, 0x5d7d386a, 0x8dd952a9, 0x0ff78e5d, 0xd0487d2f, 0xcb87d36a, 0xa8a5e683,
+    0x8142fdfa, 0x80020b67, 0x367612b0, 0x32310b95, 0x9bf75c76, 0x695edb4a, 0xcc7d680b, 0xb322d2b6,
+    0xea67122d, 0xa6342cc4, 0x0afb5c87, 0x6f942c3a, 0xc6688bf9, 0x7f370c40, 0xafb21bd7, 0xb0d0a50b,
+    0x7abe38f6, 0xbb470ba4, 0x213c56d0, 0xc8e4cbe3, 0xf8df5469, 0xdb1370ba, 0x1e41f982, 0x74292c1a,
+    0x04e48eb6, 0xd3e726f7, 0x92e8b235, 0x1df01852, 0xda2c108a, 0xd71cb515, 0xa67a5d82, 0xf58eb404,
+    0x612111fc, 0x4c81d4c3, 0x76a2b7fe, 0xe44b6044, 0x28b612b2, 0x38b806f8, 0xaf6da1ef, 0xa6fddbac,
+    0x7bc0ab8e, 0xfeb6507b, 0xf2b59bba, 0x803e55a5, 0x1fd2ddd8, 0xd59373c7, 0x4249b925, 0x94b911d5,
+    0x66cc8bcf, 0xea06744e, 0x91f91e59, 0x8b8bda43, 0x954cb661, 0x66997c39, 0x23b76f5c, 0xd4589313,
+    0x0f13678e, 0xc82833fc, 0x4f233045, 0xb234270d, 0xd80a0351, 0x8ce28ac8, 0x665612d9, 0x2a4c43c0,
+    0xfb9b914e, 0x4149f851, 0xf3cb22ef, 0xe85f878a, 0x1cfc1bdb, 0xac96616f, 0xee95cf63, 0x5dbf2db6,
+    0x9794582a, 0x76d30347, 0x14fa3293, 0xe50daa53, 0x086d1096, 0x6a625481, 0x666f0b52, 0x18f00805,
+    0x76051a40, 0x14ef34d3, 0x11fa9dd3, 0xb2db4e56, 0x8437ea74, 0xeb3f319f, 0x9bd524d7, 0xe1a31da5,
+    0xc1bec5f9, 0x3124d012, 0x2cc368ce, 0x43bd0516, 0x5fcc88ea, 0xac9683a5, 0x9c72b902, 0xc36b5509,
+    0xec03e543, 0x036d1c9c, 0xa6f264f0, 0x92348081, 0xef3147a1, 0x7cb52a66, 0xd9a73b02, 0x1f78c2c9,
+    0x1cd761c4, 0x43e5ae35, 0x7ce9a692, 0x5859b76c, 0x59c67288, 0x2602b8b1, 0x84eb98c0, 0xae1957c9,
+    0x873fbd84, 0x5644369e, 0x8b7afbf2, 0x807a8d48, 0xdfe808a6, 0xec37b7a9, 0xc54e83d4, 0xfc271e3f,
+    0x09094a6f, 0x4ef30a9f, 0xa668fce4, 0x423fbf1d, 0x5e8a6a94, 0x5766be6d, 0x2d6338a9, 0xa9a55631,
+    0x2e4c3359, 0x50fd9fe8, 0x74cb4d4e, 0x93d64390, 0x1ebd9fa8, 0x44c2cb48, 0x63fe2d72, 0x2f42239f,
+    0xd9ec0936, 0x0dde0e38, 0x83d64ee3, 0xcf0c3d10, 0x206c135f, 0x41380bac, 0x32164e26, 0xc7084e5a,
+    0xfca79546, 0x713f062c, 0x7b423ec7, 0x645f4012, 0x7f9acb98, 0x22031137, 0x537093b4, 0xa6834772,
+    0xf3d415df, 0xb5bbb617, 0xe14ba2cc, 0x6cf0fb6a, 0xf55ba164, 0x2bf10159, 0x6367068a, 0xcbd5716b,
+    0x5a91f487, 0x552fe182, 0x39df125c, 0xfa89efa1, 0x5c2f9e0e, 0x6de99616, 0x1afcaaa9, 0xb22563d6,
+    0x233db663, 0x69a4a7ba, 0x8195202a, 0x213396b5, 0x36f4a08f, 0x7cd4b0e4, 0xb9719d89, 0x52efe6bd,
+    0x468bf0a7, 0xf60ab2cb, 0xa6e1db0c, 0xcc9414f2, 0x9a8fe98a, 0x46e2280e, 0xd5e995c4, 0x27df8f91,
+    0x6e23d779, 0xe7981cab, 0x9a27bb82, 0xc9e37067, 0xaf5c6324, 0xebc082ef, 0xc1ac05de, 0xcd8b54ce,
+    0xc83524ca, 0x7b5f3ceb, 0x40bc83ed, 0xee8e55e6, 0xc37d9a90, 0xf77f60b7, 0x96669615, 0xe2c8ca46,
+    0xe6eb44e8, 0xb7e7b4a5, 0x058c0fe2, 0xfed11d81, 0xb85704b3, 0x90e7dcb5, 0x3dd062c9, 0x5d488581,
+    0x7208601c, 0xc2f6c32a, 0x094b5436, 0xa2f2740d, 0x4179416b, 0xdb1b46cb, 0xfce31cc7, 0xb377cfa7,
+    0x28d4668d, 0x09b88381, 0xa9baa2f9, 0x8b1e2357, 0xf1ada8f3, 0xc2356ad5, 0xa0fffa06, 0x93534ed0,
+    0xd9a78708, 0xe48f1879, 0xb75ba491, 0x00bd4fae, 0x06d4b2bc, 0x5429f39a, 0x6d53f070, 0x272514ce,
+    0x6dcc7f68, 0xaafc5044, 0xaf1ec273, 0x4d6a8d23, 0xcb891767, 0x429c2c76, 0xbf3aa31d, 0x7db0dbc9,
+    0x8887cdcd, 0x68a66978, 0xd6763c16, 0x9b52d935, 0x238880c0, 0xad90b63a, 0xdf7b62cd, 0x3aeb62cd,
+    0x90d05283, 0x32e182c9, 0x7aaa628d, 0x88f0c386, 0x29a31d6c, 0x59c3ac08, 0x0d67fffc, 0xb0049b1d,
+    0x5135ac06, 0x047ecb0b, 0x406934e2, 0x5aeb9756, 0xdfae366f, 0x4d4457ec, 0x7a5728a4, 0xf6313ded,
+    0xcfd0bc13, 0x2ec9585b, 0x2c9cbada, 0x12c13fe1, 0x7ca682a3, 0xb1ad7fe3, 0x11947707, 0xd8a64ac3,
+    0x4b3ae724, 0x3947a05d, 0xec0e33e6, 0x574294b6, 0xa4660a8e, 0xff490f87, 0xac582cc3, 0x36b0a8c9,
+    0x94fc09c3, 0xf403215b, 0x13c2b55d, 0xb8dacba2, 0x8efaf512, 0xf2fb29cb, 0x5c5a094c, 0xc62c783b,
+    0x03c4c2ee, 0x974f5993, 0xda23d27e, 0x5466bd9d, 0x75ef8c9f, 0xbc5b4e40, 0x073d76e8, 0x7c22e375,
+    0x5a472f87, 0x82907033, 0x106fb1ba, 0x7f9c301d, 0x4b0d02f6, 0xeacd49c1, 0xda4a1052, 0x1933a448,
+    0x0b350f8c, 0x638cf36c, 0x6a34fbdb, 0xbc1cfdbc, 0x533d1848, 0x0aaf8791, 0xe1598fc8, 0xc5b7f9b2,
+    0xc392c122, 0x71c71741, 0x3676a97e, 0xa3ee0cfc, 0x2e89ea2e, 0x31132229, 0x74ce587d, 0x34a4759a,
+    0xf00b6d8d, 0x295cef28, 0x021a7496, 0xada93b7f, 0x78459baf, 0x90934940, 0x721ed775, 0xe0c7dcbf,
+    0xf73e80cb, 0xb874a396, 0x51043f90, 0xc3b8d83d, 0x566195bf, 0xa4b3e502, 0xf22b1bb5, 0x1e185392,
+    0x35c32275, 0x9e639f97, 0x9f6d317c, 0x8b48ba60, 0xa771e3fe, 0xe696554f, 0xff42b312, 0xc4452c4f,
+    0x863c0807, 0x071f73fb, 0x3c9f09df, 0xf3311e0d, 0xf7e3352e, 0x6078b410, 0x9cde8192, 0x8e61c8ba,
+    0x2f34274b, 0xc7d70f9a, 0xee5edeb9, 0x3a1348a3, 0x4c50919c, 0xfc5a98d3, 0x2e32efb1, 0x3779f6c4,
+    0xaeb9beb7, 0x41c3377c, 0xa1759717, 0xeec92f82, 0x247c7326, 0x0c42e8a5, 0xe1a971f2, 0x5fcb9f68,
+    0x0fbe4d88, 0xfefba22b, 0xaeeb6049, 0xe503891f, 0xc30e2461, 0x43c77289, 0x96bdc296, 0x0c121d1f,
+    0xd48c594e, 0xc45ec66c, 0xa70e2110, 0x30853f18, 0x68d6ff1b, 0x5be759e3, 0xffdb34f4, 0x26e75293,
+    0x3e784ff8, 0x1ee0dff7, 0xde145441, 0xc0c16b6f, 0xd81b0584, 0x8f408716, 0x738f9a58, 0xec4e355e,
+    0xab821f35, 0x7495381c, 0x95578de5, 0xdda5c89a, 0xc7c99ecc, 0x4ab6b299, 0x8317b043, 0xd727086d,
+    0x90d5688b, 0x14ffb1c9, 0xbabac173, 0x92cd76f4, 0x46739d40, 0x2621a706, 0x1a75c195, 0x733fa99c,
+    0x29d6e2a8, 0x0ca7868e, 0xc5a88c49, 0x71c14e8b, 0xa70557e6, 0x89eb1eaa, 0xe840e58f, 0xb510fd1d,
+    0xead42629, 0xc38d6e0f, 0xb5ed6971, 0x284d7b95, 0xb30bb296, 0x508234b4, 0xc4ca8ee9, 0xaaf8f5b8,
+    0x0a06807d, 0xc6bfdd92, 0xbdb9e9ac, 0x5e55c715, 0x18f24221, 0xa8a38ac5, 0x4094710a, 0xb7761182,
+    0x4112436e, 0xf088d897, 0x2674e588, 0xba7cfc67, 0xe9ff4213, 0xa8028bf6, 0xf8274eca, 0x1fc85cda,
+    0x9744f6e1, 0x38035ff2, 0x5a43af78, 0x1e598ad8, 0x3a8d7d7c, 0x9105b24b, 0x0f33e66f, 0x1fae2e4f,
+    0x2ee176b5, 0x3aaa8ad2, 0xff9b7b1a, 0xf3951110, 0xa2ec28d0, 0x29e126d6, 0xd5a837ad, 0xfae7d746,
+    0x1bd5cc66, 0x0ac21562, 0x72b85af6, 0x2ec7349e, 0xe53419b0, 0x7ba688dc, 0xd3de7f94, 0xd959b266,
+    0x9d70946d, 0xd14a0a56, 0x643aae5c, 0xe7005bb7, 0xf9a84db1, 0x1cbf4605, 0xb9b351fe, 0x34a6a993,
+    0xe318bbe9, 0x36ae83b2, 0x8c4929de, 0x89cd09c9, 0xefa894bb, 0x6b7e2942, 0x22b9d97e, 0xa135b306,
+    0xa71f4288, 0xa92fd795, 0x42cabc2b, 0x98ade05c, 0x9e586aef, 0x8a59002f, 0xd032bf4e, 0x22060134,
+    0xa1c3f7d2, 0x9894fbdf, 0x361b5cc9, 0xdb1d87b6, 0xd2ed37fc, 0x2dce3b48, 0x1f5fdc40, 0x330fd351,
+    0x2daad8a7, 0xcc3fb3c5, 0xf8274ba6, 0x59f441db, 0x4f2a709a, 0xe6c955b8, 0x24161a0e, 0xe445c1dc,
+    0x4363d277, 0x971b9041, 0xac52bc37, 0xaf6be8ae, 0x23a76281, 0x24864d47, 0x372e258d, 0x39bd4000,
+    0x16c9a0e8, 0xb7cf0604, 0xcc4aa33a, 0x87ebf0d9, 0x2a459e45, 0xa67f52dd, 0x05a26521, 0x29730ec5,
+    0x49d65749, 0x22ac0615, 0xfe034b36, 0xe15bf22f, 0x9380ffeb, 0x72318943, 0x68c6f572, 0xd2ad44b3,
+    0x71d3c8c1, 0xc7177423, 0x12ad5e41, 0x9c6e002f, 0xb89309f2, 0xe9ef21a4, 0x25afbd5f, 0x01ecb616,
+    0x584b4661, 0x6e14dee6, 0xe0cc9d4b, 0xf5a2d7c2, 0x41114fd2, 0x5f6a1093, 0xb44df7ed, 0xedf781ac,
+    0x0de6bfba, 0x0f56f670, 0x88dfca18, 0x69b71cd2, 0xf4458b93, 0x026bcc0f, 0x063b366b, 0x2fc6ad2b,
+    0x957633a5, 0x5b45c49c, 0xd8d6ebf1, 0x0f368a8f, 0x28b8d623, 0x51699f9e, 0x2bedeab9, 0x10490c18,
+    0x4cd63c97, 0x621deb3f, 0x07345abe, 0x15f74bfd, 0x72234429, 0x114a503b, 0x1d846eaf, 0x5684e7ec,
+    0xebdc4e92, 0x66396481, 0x87ebd48d, 0xedc847cf, 0x13ebf75f, 0xcce488ac, 0x715b1117, 0x45488c57,
+    0xf014b807, 0x8b908d67, 0x2370c1a4, 0x5b5018f5, 0x26cfb867, 0x423d1c79, 0xfe8071bb, 0xca6393c7,
+    0xf1bee64d, 0xb0b4fc6b, 0xf487a78a, 0xa8dc0fab, 0x9676c48e, 0xa8b59c4f, 0x983f0059, 0x949bce00,
+    0xcc19f302, 0x0e6b506c, 0x4f98fc3a, 0x0216be12, 0x068aca49, 0x54f3f4e1, 0x5797cc56, 0x0824b96a,
+    0x694b0daf, 0x58a6687e, 0x57e9cc6c, 0xf152a0fb, 0x5f0d6b72, 0xaf874fc5, 0x0817c8e6, 0x1c04b340,
+    0x42454bc0, 0x09b7c524, 0xe1a14e97, 0x2d1c3c7b, 0x6b8aae92, 0xae1d47a5, 0x72730491, 0x48b50397,
+    0x3ea94ecc, 0xbd510406, 0x9a1d0443, 0x1171a351, 0xc99b2559, 0x38784bce, 0x7e96daf4, 0x5483ad68,
+    0x930982fb, 0xaac8fbb7, 0xdb25d823, 0xccdb1dc1, 0xfd3f70a3, 0xd3d7a790, 0x49a36e33, 0x2d30bb01,
+    0x274caedd, 0xc301a4b7, 0x1a55df74, 0x8050a1d4, 0x50eb4f08, 0x8274a1bc, 0x43de2af1, 0x1b91ad44,
+    0xa5caa438, 0x5cdd23d9, 0xb1bb3455, 0x06cad091, 0xec20f6c6, 0x3ed2e2f8, 0x528abd40, 0x56367aa5,
+    0x9969617c, 0x72197eb5, 0x8c48767e, 0x72449c56, 0x7b473deb, 0x4884f8fa, 0x70bf9f35, 0x54b6f2e3,
+    0x81bca8b0, 0x7de29074, 0xc217afd7, 0x20a621a3, 0x4ac9e2a8, 0xda64b973, 0xdd998030, 0x2530c78c,
+    0x68ef0641, 0x42443c0e, 0x32ce80a2, 0x665273d6, 0xd654a346, 0xc8272997, 0xaab5955c, 0x59a5dcfb,
+    0xe63c2a6f, 0x84379753, 0xc99afca1, 0xb3a68c23, 0x9aafb1e6, 0x92dcb810, 0x108d9680, 0x36311410,
+    0x8e19a06c, 0x8ce25aaf, 0x50254c0d, 0x97dca4ed, 0x60c5abba, 0xe2f0fe41, 0x9d2853c0, 0xa84e4972,
+    0x10adb133, 0x7c54f05b, 0x51492d6f, 0x43cdc66d, 0x68474f4c, 0xaf6af08a, 0xb6fa44f9, 0x4036b0c5,
+    0x8cb75898, 0xd713dd1f, 0xd45ab208, 0x4825367a, 0x1d9f5066, 0x7932e4d6, 0x86116338, 0x707bd885,
+    0x607e8b72, 0x394c611b, 0x81f78ecf, 0x4b1ce184, 0x8bcd8adc, 0x5dfd0b42, 0x2a304ece, 0x24eaf8d7,
+    0xb15d0619, 0x40b36ee6, 0x5ed890a7, 0x23b8e19e, 0x08f32d37, 0x0081dd2d, 0x97f37fc2, 0xefa0263a,
+    0xe9c93262, 0x80c63f29, 0xd1773afa, 0x53c64fa8, 0x87b57467, 0x9d6829cf, 0x492f779e, 0x766a4f26,
+    0xd9e452f4, 0x55fe8e45, 0x214f2e56, 0xd59e7095, 0x98fcc5ff, 0x8da4a555, 0xd5cc87c4, 0x4b7c9e97,
+    0x7dfe1e4a, 0x73f3398b, 0xfecb9208, 0xec437897, 0x9a833957, 0x72f54dea, 0x7cc28a12, 0xccacb490,
+    0xb02f6a1f, 0x2d656d39, 0x2b342225, 0x0e50e0ef, 0x6a6f52dd, 0xea80056a, 0x7a0cd09b, 0xd80a4d69,
+    0xecbeef74, 0x4823e4e2, 0x8cb48684, 0x93d0eace, 0xbdca00ab, 0x1ff70ab8, 0x535c38c5, 0x1fc6635b,
+    0x4e22d08a, 0x00a17419, 0x3f80df1f, 0x47eb5f3b, 0x5782a0fb, 0x4705db2e, 0x026d3950, 0xc67a29ef,
+    0x3c6e6938, 0x10a0ea9b, 0x46c3c957, 0x8bf467b5, 0xbd145174, 0xf4451608, 0x78adcae7, 0xbc0a94de,
+    0xefa6ab19, 0x87025dd9, 0x844954ba, 0x8bb66047, 0x6bb3a9dc, 0x026d05cb, 0x570c6d87, 0xe36216eb,
+    0xce9c98fa, 0x7aae6a87, 0xc4da04eb, 0x82458ace, 0xd02f14f8, 0x92321382, 0xa8c43bfe, 0x8b22bc29,
+    0x73c3f2f5, 0x8691e63d, 0xe9878422, 0xc010d473, 0x8032ff37, 0xd8dc6221, 0x90494b31, 0x330e54b5,
+    0x329565fe, 0xf2004634, 0xc4b5a93d, 0xac7bd894, 0x13cff3d7, 0x50bb1063, 0xb224f31c, 0xd71353c9,
+    0x3ea0f823, 0xeae3c0cc, 0x7b0e3486, 0xf18c781b, 0x4e90297e, 0xa3801ae3, 0x2f10bd72, 0xe604cf16,
+    0x66a4c67d, 0xa738f543, 0xb2e5ef79, 0xfa5a8085, 0xa8f9c280, 0x4a0d420d, 0x996dfbfa, 0x0d1679ef,
+    0xf6829980, 0xa489d3da, 0xfc3b56e9, 0x3edea43f, 0x6c9c23d7, 0xb581ff5e, 0xdbe9aec2, 0x157b871f,
+    0x43dfc877, 0xe4a8b676, 0xa960df6d, 0x13f35e34, 0xca095aad, 0x609c5a45, 0x9924f773, 0x5846731d,
+    0xd7ee4360, 0x5edaea77, 0xc210dac5, 0x77005440, 0x8b9efa09, 0x21c6ee72, 0x17a75f53, 0x7cddc43e,
+    0x8d178b95, 0xb33f7a4b, 0xbe3b0719, 0xa877ba12, 0x06b80273, 0x54879341, 0xc18e5236, 0x3622a603,
+    0x90b0dce8, 0x05412150, 0xc9a24510, 0x5fa1ce53, 0x3a30fef5, 0x11bac212, 0xe5821471, 0x28cba007,
+    0xd6fe70f8, 0xff726aee, 0x55f2ae71, 0x8872a5fc, 0x97f5426f, 0x9f49c86f, 0x225d68a5, 0x9e3baf20,
+    0x8d83e1ff, 0x0bda4f06, 0x60e43940, 0xd18bd8aa, 0xd348ff4e, 0xd8fe3e1e, 0x45ae5354, 0x8d04878b,
+    0x36aed06e, 0x0d26a464, 0x60dfaae5, 0x06fea1ef, 0x3a6493ca, 0x08d42944, 0x5cd0146e, 0xb4ac118a,
+    0xf7119354, 0xc73f1bb1, 0xa2956caf, 0xd0bd7fb9, 0xb5d9d69f, 0xe72f230d, 0xaa31b7f9, 0x91ca6047,
+    0x4cc6e0d3, 0xa4f39a7b, 0x4e087079, 0x23681a44, 0xe07a3df0, 0x3eca0002, 0x86caf53b, 0x39a95817,
+    0xc7eb23a3, 0x53244372, 0x5de88aa4, 0x3f7f194f, 0xc9043a77, 0x94137a40, 0x08fe32d8, 0x176d4226,
+    0xbea704b3, 0xf1561a03, 0x9961d37c, 0xec114e24, 0x49d93e86, 0xa942a64f, 0x4537e1ee, 0x49e62b8b,
+    0x83f68951, 0x22c42f06, 0x999d1361, 0x3c94845c, 0x761ec481, 0x1d5baded, 0xe8349248, 0x667f01a1,
+    0x2997f86b, 0xdbacaf41, 0x5ec10428, 0x8b6ae975, 0xfae6a041, 0xdb2fdab8, 0x4d72ca70, 0xe2312fb7,
+    0x33aa3b70, 0xe608a432, 0x54fda713, 0xc1fd1fdf, 0x3fe1e7c0, 0x45b91af5, 0xb59f3929, 0x7ebe5efb,
+    0x18b88013, 0x1835bcb6, 0x36747446, 0x3993772c, 0x3c05a0ca, 0x12086406, 0xef568930, 0x2270c618,
+    0x992aa451, 0xb44b389a, 0x2376de90, 0x9629a593, 0x3d0bf1ad, 0x4f58be4c, 0xc972d3f0, 0x6ff22b9a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000001214168\
+                          05764108066932466369176469931665150427440758720078238275608681517825325531136 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0,
+    0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30f, 0x4c5f335d,
+    0x00000000,
+    0x8174557f, 0x14cb14f9, 0xc23e08f3, 0x608a3051, 0x80d2676c, 0xcbbd63a7, 0x555e77ed, 0x892c9afe,
+    0xdd82d17c, 0x9e751a6a, 0x8bf88e6d, 0xc5cb2412, 0x6adbab09, 0x5d047904, 0x60d2d8d5, 0xc00233cd,
+    0x59d53ccd, 0xc6a80ec7, 0x25d6a3d3, 0xe3064d26, 0xd0e74fc1, 0xbbcef946, 0x4fcbdab3, 0xb5426bf2,
+    0x4b9d20e3, 0x69c6e7e9, 0xaaf1d36d, 0x05d93af5, 0xf2aa5dff, 0x06f164c3, 0x18d1fb1d, 0x4a5c968d,
+    0x0eb37d96, 0xe9b17357, 0xbf0378bc, 0x76a94c3b, 0xf269996a, 0x2bacfa5f, 0x43971e85, 0x3e33633a,
+    0x7b7cc377, 0xdd7ffc59, 0x09308aaa, 0xe5b4833b, 0x8383b26a, 0xd7708cf6, 0x4ae8ae54, 0x6e511d03,
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+    0x2ea6ac47, 0xffacaf6b, 0x515cdda9, 0x572d1873, 0x1dfb01a2, 0x1b15507c, 0x06d421e7, 0xf6c967ff,
+    0x1c304bad, 0xd764bd28, 0x49c7c4c1, 0x13802de4, 0x44aa5937, 0x685abc02, 0xe417136d, 0xfb911867,
+    0x92e60137, 0x734bf0cb, 0x373bb63d, 0x54a1df7c, 0xbdc165c8, 0x48d5e7d7, 0xcf080c6a, 0x66a21302,
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+    0x595ab214, 0x5dab71ad, 0x137c2b32, 0x95bf0893, 0x05d542fc, 0xc7ed41b3, 0x1312daea, 0xc57b1bd3,
+    0x1a7ab781, 0x167498c2, 0x27e63f90, 0x5a179ea3, 0xe9076992, 0x8e1c0e25, 0x47c4bb85, 0x2e03db2c,
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+    0x9517f568, 0x1591568d, 0xab532149, 0xe960bc7d, 0x57f072f5, 0x83612248, 0x5e1740da, 0x8930ef10,
+    0xe0a65c65, 0x3f026107, 0xc12e18ad, 0xfbbe9fd1, 0x885856b2, 0x71569e23, 0x33db2ec6, 0x212a6cf1,
+    0x3d9698f2, 0x283a6fe7, 0x1c5f216e, 0xa6492611, 0xa5936831, 0xb8051508, 0xc0480e17, 0x622b3729,
+    0x62c57799, 0x748686ad, 0x9521c16e, 0x0f2c0bfe, 0x8d1a1386, 0x705a8e11, 0xaddab240, 0xa6df3be7,
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+    0x01514947, 0xc04aa23e, 0x03440891, 0x6465d07f, 0x3e1c98f1, 0x381aa277, 0x6636b76a, 0xd80be813,
+    0xc6e74fd7, 0x5988c82e, 0x7df9d761, 0x5db836ff, 0x2460475b, 0x25b5dac0, 0x25378a78, 0xb8897fe4,
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+    0xc385619c, 0xa8623372, 0x3da39bfb, 0x0886d3be, 0x86f8bd06, 0x3a74d8e8, 0x440e3a1b, 0x2cf539ad,
+    0x76b7f421, 0xfc6d2bd4, 0xc2103602, 0x66b287c2, 0x2fff132c, 0x3c7151f4, 0xc5505e8a, 0xf89f300d,
+    0x56df3299, 0x0266f338, 0x646c1483, 0x89dd38ec, 0x6904bfe9, 0x33ae1c34, 0x1be0ac54, 0x9d49ab3a,
+    0xfa165926, 0x890423b4, 0x7cef7364, 0x89bf4739, 0x791ac3df, 0x2af0db08, 0x5de139e3, 0xa708b6c5,
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+    0x27b31afc, 0xc706cbba, 0x62e0751d, 0x005964f4, 0x2133c246, 0x9ef31844, 0xa697ab64, 0x8d99394e,
+    0xb730e229, 0x55e3953b, 0x7a52ac63, 0x23cad7af, 0xda81d11a, 0x6bab3ce5, 0x7594d108, 0x570cbbcb,
+    0x8cd3a75f, 0x53aaa876, 0xa436f5b8, 0xfca6105b, 0x763442f7, 0x8bc9e823, 0x8eb53053, 0xdf295360,
+    0xc88b617d, 0xc973af20, 0x3e23e8e9, 0xee26de34, 0x758fd987, 0xbbf8e159, 0x863d9340, 0xb292d2ac,
+    0x33b4a851, 0x14d328e4, 0x53f9cdc5, 0xa46e657f, 0xbab5fa68, 0x73390ae9, 0x15c9f19b, 0x0399dc98,
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+    0xf97960e2, 0xc6fbc262, 0xa3e02261, 0x840b8a26, 0x7b76a730, 0xd1f11720, 0xa316ebb7, 0xc9d6eb71,
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+    0x972b572e, 0x44c2141e, 0x6413e008, 0xf93fed15, 0xb174657b, 0x2f788667, 0x1c59c9e7, 0x55549041,
+    0xb4fb1c79, 0xd12165a6, 0x346418cb, 0xd47a2766, 0x67555793, 0xf45054ec, 0xc957d6aa, 0x6a2e30d8,
+    0x2bdb9b94, 0xe21540ca, 0x909c69e1, 0x334ffb82, 0xb9ba441f, 0x540ecc1d, 0xc88ea6f7, 0x23d37202,
+    0x4427b70e, 0x3553294f, 0x4616cee5, 0xdc99e2f4, 0x4b0a5b0f, 0xed2bc061, 0xf9e56a61, 0x16000f9c,
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+    0xf64ceab0, 0xd661cb26, 0x183bcd9d, 0x846fa854, 0x28f303d4, 0x222db9c6, 0xf2fcca35, 0x542ecd4d,
+    0x70022e81, 0x03e370fc, 0xa44a06fe, 0xb2ce60d9, 0x19901bbc, 0x0bcf37ff, 0xf17c54ea, 0xfb811309,
+    0xbbb14272, 0xace57433, 0x8ae14d8b, 0x05ae0bf1, 0xae55a095, 0xb2811f6f, 0x4f8167ea, 0x264c5fab,
+    0x44d56fdc, 0xea29587e, 0xc52ded1e, 0xed72da7e, 0xb7ee91ca, 0x9b85314d, 0xd8957631, 0x77a0bd7e,
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+    0x17d51175, 0x6ca080b3, 0x1f3e0b28, 0x64af6d22, 0xba600786, 0x1cd438fb, 0xa69a582f, 0xb8f1474e,
+    0xd990ce32, 0x8cb15781, 0x7d3a3f53, 0x71fb57fa, 0x9480934a, 0x83eef66c, 0x765a7ee1, 0x13b4a9c9,
+    0x2ea8ae71, 0xf72ad615, 0x8f0e693d, 0xe9757d4f, 0xb290bbc3, 0xc2f00fc6, 0xeb4e5bcf, 0xecf6431d,
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+    0x511b83cf, 0xb31d4f47, 0x07cb6f1b, 0x0c9b8280, 0xc2ec6b32, 0xcd46cd7b, 0x8149d376, 0xda0daa63,
+    0x2bd469b8, 0xfa4845c5, 0x838ee454, 0x4c81f3b5, 0x2c012d5d, 0xeada3c19, 0xb2c25b53, 0xe3c7c0c9,
+    0xefcd9208, 0xa81ebfd3, 0xcc226539, 0xb9ce71f3, 0x325d2591, 0x70850dad, 0xde380492, 0xef1f1b2d,
+    0x96098376, 0x367d53c2, 0xb62f9696, 0xec59ad2e, 0x18071018, 0x05fe89ba, 0xd1c79c66, 0x336eaff2,
+    0x4949a374, 0x4d8c48a2, 0x90415462, 0xef962fb1, 0x9f2ed203, 0x44d62f7a, 0x5ba0de52, 0x82a9d30a,
+    0x0782be55, 0x07db7ab5, 0x1579a168, 0x641c63a8, 0x3f879136, 0xfaa36729, 0x41a68799, 0x75e38b9a,
+    0x6ca9e43a, 0x4f967c8a, 0x2d42746b, 0xbd3eb1bc, 0x12e02745, 0x0e3cc6bd, 0x3e0f55f0, 0x19379376,
+    0xe851c67d, 0xab82447c, 0x13662ac6, 0x5535938d, 0x7c8d2769, 0x79b82179, 0x482b3011, 0x51279133,
+    0x948e107e, 0x71e6017d, 0xe8632159, 0xea57f5db, 0xb49f8f37, 0xaac7b9ee, 0x835a2101, 0x468ebb86,
+    0x14d6f797, 0x4918d023, 0x5a23a832, 0x2eb83199, 0xfa248d36, 0xb26826a2, 0x2f42202e, 0x13252331,
+    0x163ef170, 0x3eda260b, 0x722a3570, 0xf9b9e77d, 0xc003c4f7, 0x730b06f5, 0x2cdaeff6, 0x6531c935,
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+    0x3d9da48e, 0x81d5044b, 0x7522cfb7, 0x37fd441e, 0xff2d1092, 0x069b67ff, 0x65cd0850, 0x3dcfbc40,
+    0x3e44f8a3, 0x27343a09, 0x6b2c6fde, 0xba7511d6, 0xc75d20ca, 0x93f166ec, 0x1850c895, 0x681f8540,
+    0x479ffeb8, 0x05e6e55c, 0x85d1a091, 0x28caab9c, 0x9683f3b6, 0x01d569e4, 0xcfcb470f, 0x442621a9,
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+    0x35ba0651, 0x0b496de2, 0xf16927e6, 0x25c768ee, 0xef523c32, 0xdb796c64, 0x2b1d41cc, 0xae91105b,
+    0xb9236493, 0x2d76b529, 0x8b4f16c0, 0x11201e5b, 0xa7fea19c, 0x63c3847c, 0x37a76ece, 0xb96ace5e,
+    0x5f04df67, 0xc6ebe0f3, 0x9bc34ea6, 0x5dbf3dab, 0x5a6650d0, 0x51bdfef6, 0x28169f5c, 0x51c6bea6,
+    0xdcbb2f28, 0x5bf2514c, 0x8f5b6883, 0xcf8aeef9, 0x4e75add4, 0x7f098df0, 0xadb2a740, 0xdcf3ec66,
+    0x425cd192, 0xdf573af5, 0x7d0160d1, 0x9abdd532, 0xac039212, 0xe53e0a3e, 0xff6d0a7a, 0x6b139fac,
+    0x984eba73, 0x05e2a182, 0x162e0757, 0x6ef83500, 0x23275a3a, 0xcdd0954e, 0x2edd69b2, 0x33bd573c,
+    0x80438cc4, 0x9b2f04a9, 0xdf355d19, 0x5adfaa8f, 0xcff49fee, 0xd036f954, 0xd0fbe40d, 0xe89bfea7,
+    0x335cd159, 0x9fcecdc2, 0x34582337, 0x88e8e112, 0x8d8f8157, 0x9a057570, 0x2c1c8940, 0x391b5e37,
+    0x42c0fc90, 0x7dd0d295, 0x19a7d4f9, 0xe2cdb66e, 0xe0407ff5, 0x54ca0d96, 0x32992213, 0x9dbbe1f3,
+    0x70d146aa, 0x263ceba8, 0xd75fe4a4, 0xf3ce5c86, 0x2da3ce18, 0x3ef2b89f, 0x3232566e, 0x9caee848,
+    0xfccf2533, 0x8c68b5ed, 0x2326e4fa, 0x2ffa4a58, 0x8a025fcb, 0xbb546e0d, 0x4748eaca, 0xab5719d2,
+    0x6e0a6762, 0xafd71b20, 0x2453b1bc, 0xfbee47b3, 0x7fbabaa5, 0x8c32c56f, 0x38bf3627, 0xb532a661,
+    0x02c5d528, 0x2eaa639f, 0xdc18b9a2, 0xaeb24351, 0xe424f9f2, 0x43912526, 0x988fc3c1, 0xf9137b86,
+    0xcfd697dc, 0x942fa171, 0x4ec45d89, 0x28054cbc, 0x3db6f613, 0xb4ac23aa, 0x88e65724, 0x36f655de,
+    0x60ab8213, 0x1fc7f3c4, 0x4f1a0610, 0x0b9b030d, 0x44973981, 0x60ca7de4, 0x68615249, 0x4ba61a7c,
+    0xeec8b463, 0xb1f98229, 0x25fbeeca, 0x7124f841, 0xcce386c6, 0xe04ae2c9, 0xe2b28736, 0x2752584b,
+    0xbc69bd02, 0xbcd75a83, 0xfeffdfec, 0x7e64a5a1, 0xb80fe0a1, 0xa7406124, 0x4e4a54bc, 0x93e3d397,
+    0xb0c4ac6a, 0x9e8662e9, 0xee7b49e3, 0x9561f62f, 0x9ab7ca26, 0xd391452e, 0x8d9326c3, 0x75befbf2,
+    0xde53e347, 0xac3e3eb5, 0xafb71701, 0x220b87bd, 0x0cf71b47, 0x1ed59a00, 0x791306bf, 0xcfecb247,
+    0xc15aa897, 0x6a19e9d6, 0x30313e77, 0x682fcf20, 0x88647bb8, 0xb6a9323a, 0x2159ba5d, 0x1523e585,
+    0x4b1cd083, 0x311c33e2, 0x01d9cf0d, 0x8a43e576, 0x65e593b6, 0xf5b03765, 0x1d91f00c, 0x13f4b4d2,
+    0x22a66149, 0x359b070d, 0xc17001a0, 0x40680bbf, 0xde557b00, 0x428a91c1, 0x88269c75, 0x5e81b23d,
+    0xbebf8846, 0x3d895266, 0x49740a9f, 0x637173a2, 0xf2eb96c0, 0xacb2a968, 0x38835d94, 0xeeeb6c73,
+    0xfa9f53df, 0x5a3ed326, 0x624c53e8, 0x7d92f519, 0x7dbc2988, 0x67a97de5, 0x1bc55a0e, 0xf7264120,
+    0x24264866, 0x84ffdd77, 0x3e9da1f8, 0x26b575c0, 0x3575df6e, 0x501992c8, 0xede2ff05, 0x2658aa44,
+    0x4952fe66, 0xb76ea829, 0x4e6f3665, 0x88d1a0ad, 0xbd8147c3, 0x59405d4e, 0x75460a76, 0x103896b5,
+    0x6469ace7, 0x3d48d648, 0xc4b779a3, 0x72e1b9ba, 0x2e08a81b, 0x55ca9d14, 0xc3b85ade, 0x5d2a1485,
+    0x272317b2, 0xd26cc99b, 0xfb130cf8, 0x45a11632, 0x74375428, 0x4c2d9ab8, 0x94ebb883, 0x08eaf4e2,
+    0xf1351544, 0x5331861d, 0x577dfd39, 0x9a580fa4, 0xf5551de3, 0x009a3f1d, 0xb629457f, 0xbb0285e8,
+    0xeb3c7602, 0x6a3e3f59, 0xefc47d0c, 0x9b88007e, 0x034304c0, 0x3faa70dc, 0xd0532474, 0xf9d73635,
+    0x3ee5054a, 0xb61ca059, 0x8f4f9a9e, 0x55f1f35c, 0xfc2e5bf2, 0x8f04265c, 0xc433c49a, 0x2d1e0eed,
+    0x30967b07, 0xe6486470, 0x02d850b9, 0xa6876bbe, 0xe3a50c07, 0x9d1024d4, 0xa3921e46, 0x58c822c2,
+    0x46a1fd74, 0xb1c37a56, 0xf5419655, 0xef8a031d, 0x13aff6d5, 0xd55ce0eb, 0x6b7ce16b, 0xb1df2074,
+    0xb92630a8, 0xa9e23b2c, 0xa9e770ae, 0xb2058e28, 0x21fb7fbe, 0x2756a186, 0xea64d020, 0xb8646353,
+    0x43c0be30, 0x03dfbcc1, 0x06dd1766, 0x20b56f52, 0xde62206d, 0xf765b9da, 0x664ff2de, 0x7b8ddd59,
+    0xa4a6a12f, 0xfaa0d129, 0x3838686d, 0x131fe614, 0xa265a407, 0x8c8e2caa, 0xc8e1cb9b, 0x104b1f4c,
+    0xacfdd3ca, 0xf06a8ee7, 0x77adab1b, 0x06922b6d, 0xca244e03, 0x97ca0b82, 0x292f8a4d, 0x7f8f7e9a,
+    0x912e1280, 0xb0bb672d, 0xd833b92b, 0x98093dcd, 0xdd0a830a, 0xa4861021, 0x72e474bc, 0x458cbc37,
+    0xdee4f441, 0xa9b3a207, 0xbdbeede4, 0x9433d13f, 0x9523dbe4, 0x08e17433, 0x855774a2, 0xfd6150f5,
+    0xa3e97cf8, 0x948f4a75, 0xf2513956, 0xf99f22d9, 0x42a7487b, 0xde374f67, 0x48071e3e, 0x56525c0d,
+    0xc5167e7c, 0xec0d2ff8, 0x6c49e29f, 0xd1df1cd0, 0xcec78665, 0x38485f24, 0x20a63b80, 0x1fd8eaed,
+    0x64ecdc7e, 0xf3a1235c, 0x5b5fdfb9, 0xbb4af237, 0x5c443b6f, 0x95a9cc8d, 0xc9345713, 0x3c2d8987,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000607084\
+                          02882054033466233184588234965832575213720379360039119137804340758912662765568 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658,
+    0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d187, 0xa62f99ae,
+    0x00000000,
+    0x80b9a420, 0xe999bac4, 0xbde09f11, 0x9bcb4531, 0x76dfe138, 0xe01e7bb5, 0x0110f0b5, 0x5a09f5e3,
+    0xd594ee44, 0x5823ce14, 0x1c75ee7e, 0x53c06d56, 0xa1243180, 0xde02f68f, 0x131eb55e, 0x97964eaa,
+    0x27204e38, 0x490d65c8, 0x3d36a392, 0x832a2997, 0x9d43d120, 0x30e03992, 0xffee38a6, 0x1c40ecdc,
+    0x7c1ed5bc, 0x58111a19, 0x1b4007ef, 0xafc20212, 0xac784edb, 0x5d9ef86c, 0xe0cb16b7, 0x4b5c78d7,
+    0x9e8b5348, 0xc9addf19, 0x6eeccf8f, 0x7d10a4d0, 0xe4b587e7, 0x4ab23f5b, 0x1c614eed, 0x9182fe9e,
+    0x7ad1e267, 0x53d3e2b0, 0x367ce506, 0xcd3c0554, 0x8f6bb4c0, 0x6d1e2481, 0x640af31f, 0xd047b051,
+    0xd1b2ec0d, 0x6a56ec28, 0xf1c3c268, 0x87864f6a, 0x119cd108, 0x0dfafdba, 0x2568d53a, 0x21e11277,
+    0x1190c0be, 0x8c79f2a8, 0x0f5d1f4d, 0x31d2d18d, 0xc9978bf9, 0x9320e046, 0xd574e13b, 0x7f88e8bf,
+    0xa824219b, 0x8649b690, 0x84c28738, 0x2c3c7bc3, 0xed0d8b6b, 0x68c09554, 0x307d3dac, 0x944f2919,
+    0x95f23547, 0x64321040, 0xe1c955f4, 0xe26ef42d, 0xc70044f6, 0x62931c6b, 0x20512000, 0x29be0114,
+    0xbc947761, 0xe972f23c, 0x08a22959, 0xacbe9ab8, 0x7f0604da, 0xb5c783ca, 0xe113e03f, 0xac5d8cd8,
+    0x3cfb91c3, 0x6ddc66f4, 0x2b0fb1c1, 0x2c7169a1, 0x6bc548f6, 0x89e4b56a, 0xfbb8f102, 0x6a1293ce,
+    0x7e52b64d, 0x15fe5702, 0x3f60d0a3, 0x3038e045, 0xc4bb368b, 0xc72d96bd, 0x4e3b17c5, 0x027cb3de,
+    0x5aba1018, 0xf4e8ced2, 0x60f09b73, 0x4efed25e, 0x1acf2816, 0x159eb20b, 0x45ebc469, 0x6618999b,
+    0xfccb0813, 0x90a39ce9, 0x28aff38b, 0xea4f3921, 0xf9a32926, 0xd1e08362, 0x68742ef6, 0x9b68acab,
+    0x1244ac08, 0x420cdc91, 0x81bf30d7, 0x42037adf, 0x2f40aeec, 0xa58700d9, 0x95f10a1f, 0x66c0f6a8,
+    0x0b1b099b, 0x3eb99e59, 0x87ca2d38, 0x04eb2688, 0x015ef2b9, 0x042d0593, 0x47637fdd, 0xe1c99775,
+    0xe7d75a74, 0xe97e1a6b, 0x83a43f28, 0x9f2bd7c5, 0x726065b3, 0x127f7bed, 0xe9bcb403, 0x85758325,
+    0x887a481e, 0xef838520, 0x90cd1e4a, 0x73eabbca, 0xa775a23d, 0xc99daa62, 0xb1c2e3f9, 0xed52b61d,
+    0x19657fba, 0x39b43d7a, 0x014f8466, 0x47617715, 0xd801ed44, 0x842dcb1b, 0xa9f72fa6, 0xfeb7bf74,
+    0x5a31fe7b, 0x53e365c0, 0x26cb52db, 0xff874b00, 0x855c4fe5, 0x7b259d37, 0xdec7fb59, 0x5c62e9ac,
+    0xcd68414d, 0x22b6256c, 0x4cf7cc00, 0xb67d3654, 0x018a128c, 0x9bac25f6, 0xdc61c9f6, 0xf1c16f5a,
+    0x0c60c17c, 0x6006d060, 0x08aadbd3, 0x4116d643, 0xa6ac94bc, 0x74b46a59, 0xfd5a4f7a, 0xf1eaec10,
+    0xb03a3d70, 0x29cf72cf, 0x5b8d764d, 0xa1ee9722, 0xe738a4bb, 0x06652ddc, 0xa59d080f, 0x2b1b3403,
+    0x40f40f0a, 0x5f84c167, 0x5204adb7, 0x97a24b61, 0x5d3c8e6c, 0x1e656cec, 0x4a6282f3, 0xb84e4b85,
+    0xc63f24c6, 0xae96c9c2, 0xa2a97f7a, 0x9460f83b, 0x4c3c0f86, 0xf9398a84, 0xf1e07144, 0x74877579,
+    0xc9b4401a, 0xe95596c5, 0xd0fa3ea9, 0xfb1ef894, 0x87a2d481, 0xf014a650, 0x01073058, 0xe55904c6,
+    0x3483fc0e, 0x478217d1, 0x334ef350, 0xce4c21c3, 0x6b3e4a82, 0xdc9a3057, 0x6d224008, 0x7fcae0e6,
+    0xf3105afc, 0xc07ca36f, 0xf725d28a, 0x84818d08, 0xd7957d32, 0xbf73884f, 0x6be61258, 0xc4e2be49,
+    0xdd13aac3, 0xfc93f3c6, 0x408b138a, 0xae612304, 0xddd9c700, 0xf5f5f8b0, 0xd4a271bb, 0x0d9a3f7b,
+    0x60f5c540, 0xfd0e6b06, 0xcc7c0859, 0xfadd8438, 0xf0fb01ef, 0x598824b3, 0x4c74b6ff, 0x96f04446,
+    0x5790ab5d, 0x3388c1df, 0xb06d2162, 0x8792450b, 0xa52747d9, 0x98954965, 0x260816a7, 0xbb7b302c,
+    0x78be6b8d, 0xe6248e50, 0xd1acced7, 0x7901dcd4, 0x9a17f311, 0xd5f5deb2, 0x4db7c9cf, 0x7b406481,
+    0xe7e7fe96, 0x2e59ca6c, 0x64a78f90, 0x59112837, 0x4f22ba2c, 0x547b1e93, 0xc645c621, 0x3dfbebd1,
+    0x1b32aca5, 0x8f373e08, 0x0fc32ef4, 0x41651bb0, 0x6ec98d76, 0x54e393a2, 0xb2819e82, 0x62d09e0c,
+    0x93cccff5, 0x1b67a041, 0xa38b3f65, 0x7a460cba, 0x906695cd, 0x9b34fc84, 0xf6649d89, 0x51a70832,
+    0x582a5b36, 0x9e14e365, 0xf0777f7d, 0xcf160259, 0x48462a21, 0xf791071a, 0x15ae9fec, 0x77f3829c,
+    0x6dd82df7, 0x0ff3a971, 0x447d9151, 0x825d8e1d, 0xb79c6422, 0x34790c88, 0x50234417, 0xad054eae,
+    0xadb2a359, 0xeaab1c7e, 0x15a78da2, 0xe9bbc70d, 0x249967b7, 0xe482e4e6, 0x9e1bb9cd, 0xf899c533,
+    0x3a5de9a8, 0xa92f0821, 0xf9cf9f80, 0xe6f807b6, 0x7b4690a9, 0xa76d22dc, 0x782982ae, 0x997203b7,
+    0x0b66f7a6, 0x6fb28a21, 0xa6980fba, 0xb68ec3aa, 0x4752df18, 0x0efac977, 0x224d3b2e, 0xd2fc78a8,
+    0x2ccad7f5, 0x51ee5396, 0x22cd9efc, 0x8bb24a12, 0xf8145503, 0xbd2cc96a, 0x2d221425, 0x8ffc46bb,
+    0x7e750f16, 0x9a5f7346, 0xf0d8d6ab, 0xf8321b45, 0xc48055ba, 0xc2e21635, 0x0e9169d6, 0x2d6560ee,
+    0x175c8ecc, 0x23dc3287, 0xa88e8c0e, 0xb24558f8, 0x192c279b, 0x30d349ca, 0x4db09e7a, 0x872ca3af,
+    0x43fc67a7, 0x47187cc1, 0xcc6a8175, 0x6b22388a, 0x460952cf, 0x5857d43e, 0xdd32b90d, 0xa503e8ed,
+    0x51012714, 0x90b98fbc, 0x136abe9d, 0x99bd847e, 0x45352eb7, 0x5280a7a5, 0xee494e4b, 0x0b9b2000,
+    0xb4db6608, 0xa6c9458e, 0xfb75d9b0, 0x5a76da13, 0xbcddc3e5, 0x119c4b94, 0x65a04a1d, 0x7fde4ee1,
+    0x6445cd6e, 0x1149d13e, 0x572a4cf6, 0x109c39ad, 0x804fb053, 0xffe4a047, 0xd857bb96, 0xd53707db,
+    0x4a6712b8, 0x691ef35d, 0x948225a1, 0xf5dd6cc2, 0xe635f8d0, 0x30d73e39, 0x9b3a8c2f, 0x496c6a68,
+    0xb78e7daa, 0x1425a0bd, 0x3a5915f2, 0x3e57bd06, 0x7b0b5b27, 0x096e8d8c, 0xc8dc26f0, 0xed79e3e3,
+    0x132f2f08, 0xdae4b7a1, 0x426e37e9, 0xb88d2bd1, 0x78fcd426, 0xb24fa463, 0x15b87729, 0xeb188dc0,
+    0xc5e4cc27, 0x169b958d, 0xd4213f45, 0x78e83624, 0x0e6f1c5b, 0xfff626f1, 0xbde6e62b, 0x6a25f3cb,
+    0x78983da3, 0x202f8a1a, 0xc52041d5, 0xed666216, 0xa37b63df, 0xe8eec8ad, 0x62c93087, 0x691c51ad,
+    0x66974d18, 0x16fb8c92, 0x96359dea, 0x8e8584fa, 0xfdf0c3b0, 0xd1cd51ff, 0xf1850c40, 0x36e6ddbb,
+    0x4205cbb4, 0xca0fe153, 0xb7379b4c, 0xa7fb3960, 0x61445d99, 0x1b6dc5e2, 0xb79d972c, 0xc75a4e14,
+    0x7bfdd608, 0x452edf65, 0xcae572bd, 0xf7ebe76c, 0xe333cd3c, 0xe2b2124b, 0xb000cccb, 0xd19f3b61,
+    0x5a9a9a1e, 0x37f6dc9f, 0x235d4720, 0xf157a825, 0x1b55902c, 0x4edbf9c7, 0x7522219c, 0x7f7f0151,
+    0x98a7f141, 0x98d6b6c3, 0x6527cfd5, 0x6b06a274, 0x8f7ea7d3, 0x6952b1af, 0xb7aa7fad, 0x7e8f2bd7,
+    0x1c535469, 0x4ae8e052, 0x155730e8, 0x1ebf356a, 0xf5da3654, 0x8fbf83dd, 0xcc0d33ca, 0x48cb0536,
+    0x547e3d50, 0x9df0ebe7, 0x257deadc, 0x349222f9, 0xe7414cae, 0xeb305822, 0x1b71becd, 0x2d83ba8e,
+    0xf0e14426, 0x1fa133d0, 0x73001c0f, 0x8b3f7985, 0xdcb8f225, 0x24bfbc17, 0x9fe6a78b, 0xd76468fc,
+    0x9320d249, 0xde2e5776, 0x99fc1d20, 0x3bb78d49, 0x579ac9c4, 0xa4af82e3, 0x4de8e98f, 0x44ca2328,
+    0xfd515854, 0x18ba18ab, 0xf3add701, 0x13e50eaa, 0x3fc19bf8, 0x4509d39e, 0x50791f94, 0xa340db67,
+    0xa77b50f0, 0xae12635d, 0x07544c88, 0x42fc6027, 0x6356422b, 0x8d45e760, 0x69b083c5, 0xa6e6e9f6,
+    0x2509a950, 0x6c74de55, 0xf999b622, 0xa565bd35, 0xc7eacf81, 0x44c46d25, 0x6dbacd91, 0x05b5dea1,
+    0x69963ee4, 0xc3d2a3c0, 0xb0d70fd6, 0xe30011e8, 0xef641037, 0x9a3b0688, 0x5d503db9, 0x8cf7c89b,
+    0xec79acb5, 0x59bdde8f, 0x28995a67, 0x11fe0a68, 0x52744e6f, 0x4a94e380, 0xf70aa778, 0xc92f4bd7,
+    0x7aacd37a, 0xa96e2618, 0xaefeff47, 0x52c315ed, 0xb521ff9b, 0x2b6e1107, 0xdb99f805, 0x1ec4c9d9,
+    0x59497f1d, 0xef40958a, 0x17e81ab7, 0xa58c4c4d, 0x2d91af8f, 0x1f098e87, 0x304bc583, 0xc4ff32fe,
+    0xac5622bf, 0x70c4f8e3, 0x0ca48c2f, 0x82071992, 0x4d8d65ed, 0x5d09c3fa, 0xf025b1e0, 0x96319b9a,
+    0x3f0a19e5, 0xefc9209e, 0xda2014c7, 0xb3c24666, 0xcbd9a4bc, 0x030ffb41, 0xf5cbc038, 0x51f446ec,
+    0x574d9240, 0x8e4f930b, 0x7b55e021, 0x3281aad3, 0xdc83cfe4, 0x9f0e0b63, 0x4dc83bee, 0xe653713e,
+    0x82d3291e, 0xe1680c10, 0x10f7e107, 0x16c81fde, 0xd18eb5f9, 0x52bd7194, 0x8650d948, 0xa2868e00,
+    0xf9c75aef, 0xc5142304, 0x7a5004f1, 0x5a19b0e8, 0xb6bdaf99, 0x5e25165c, 0x25388e0f, 0xd70f40c8,
+    0x125496de, 0xaf60142c, 0x1f533f20, 0xac940231, 0xa9f5eafb, 0x7365b648, 0x78cb4fe7, 0xf7d58a1e,
+    0x7021b516, 0x465bfd38, 0x187c765f, 0xf2d4482b, 0x149e4e6a, 0x06386325, 0xd1f61358, 0xe04e65ca,
+    0xb42923de, 0xfabe4975, 0x14ce406e, 0x94abafcb, 0x6d1920c5, 0x5fc0c3a1, 0x6acc0f0d, 0x1f170d30,
+    0xb6597983, 0x3bf2ae8d, 0xe1680940, 0xca49588a, 0x46a5c6fa, 0x5dd31c17, 0x5fd435f8, 0x19305e36,
+    0xa8df2281, 0x26801f68, 0xb0534cdd, 0xcb573f4d, 0xdba1248a, 0xdbce23f4, 0x37509c1d, 0x9d21afdd,
+    0x71a59ff3, 0x11a51345, 0x1d28f3e3, 0xb623a93e, 0x9aaed4f0, 0x2e5cc025, 0x05150782, 0xb178790a,
+    0xd93975bf, 0x7c08b4dc, 0x78f8ddb7, 0xe24c335b, 0x8cc0e49c, 0xb39a7f53, 0xee4607f0, 0x1a256a62,
+    0xfff7f6f7, 0x09d635e1, 0x466777df, 0x04683d3d, 0x3930ff01, 0xc6810eb6, 0x68dab9c0, 0x0336288e,
+    0x25f8d715, 0x41bc842f, 0xfa527a01, 0xa15dd89b, 0x30efe9a2, 0x0efa6e27, 0x4c1b4af5, 0xea2a7e61,
+    0xec2600fd, 0x6e4192ea, 0x54fbf9aa, 0x80aa5a11, 0x401e8e56, 0xb1a47b35, 0x64e56d78, 0x3cd019a0,
+    0xdb4ee0b1, 0x5b77267b, 0xcd2fad57, 0xe3b52f36, 0xc1b0cd7c, 0x1bf9843e, 0x828c90f6, 0xa6eafd93,
+    0x40b0cc64, 0x5bf28acb, 0xc3dce4a4, 0x0bfed2d6, 0x7a1ea987, 0xbe0846e2, 0x72f28ba8, 0xbe7d1e68,
+    0x02a48bd0, 0x1148578b, 0x2c848c4a, 0x10a366be, 0x467e0798, 0x9db1b790, 0x13a5da0a, 0x63a19167,
+    0xf12a3817, 0x9fa41fa0, 0x10865594, 0x8ee01bec, 0x582b2d1a, 0x165528b7, 0x56cf16f3, 0xa072c541,
+    0x7a66cd17, 0x0e195c4c, 0x3461ac24, 0x7fa518f0, 0xd974f7d7, 0x0179ca2b, 0x5f3bdf50, 0x5f8316d1,
+    0xe6e4f4ae, 0x9796570a, 0x87165529, 0x82099478, 0xcfced2af, 0x3e613046, 0xa59744f4, 0xdc8e2371,
+    0x129d7006, 0xf25b20e6, 0x71922cb1, 0x2ed680b2, 0xe8e1036d, 0x56d158da, 0x3f2afd9d, 0x314e3858,
+    0xda205040, 0x68a58549, 0x9b5d432a, 0xd6ed9f04, 0x229da40d, 0x8ef6b6ea, 0xc4d1265d, 0xd6088084,
+    0xb9ca20f4, 0x70c35c43, 0xf03c3e57, 0x49c29b71, 0x77ac0bbc, 0xdcd1b4c9, 0x4c499153, 0x2dba8cb3,
+    0x74f4de96, 0xee4832c5, 0x0c0224f8, 0x92132697, 0xfc187302, 0xd3c95948, 0x9cfdc160, 0x9cd0925f,
+    0x980f81e0, 0x9ff48ac0, 0x20c35547, 0x854656b7, 0x5ba3ce49, 0xd180aab9, 0x8fdfdc2c, 0xd4886c12,
+    0x363dc62f, 0xdd811d55, 0x6b4866d1, 0xc5a54a5c, 0x48fde8b2, 0x3a83b67e, 0xd2d20943, 0x3bfaddec,
+    0x2bb75121, 0xae48fa80, 0xf408d644, 0x3f58c4be, 0xb4523860, 0xeb62a952, 0xe87a3f91, 0x04c6ffbb,
+    0x69d6a124, 0x7442c0bf, 0x1d4a029c, 0x1feb9da1, 0x7b60000f, 0x31ebc8a3, 0x5c3813de, 0x5cb3da37,
+    0x7eece62a, 0x7fe63d3c, 0x9d83e74e, 0xfec80be8, 0x009f2a8a, 0x4dd16a5f, 0xc6b7fc7d, 0x7bdeb65b,
+    0xc8e85a7e, 0x58a5b850, 0xe0b32fbc, 0x9c786faf, 0x80fa3bd1, 0xa680828e, 0x7fd62081, 0xde50eebf,
+    0x7c39df5d, 0xdc42b632, 0x5f8284a0, 0x0475fe98, 0x856205a3, 0xe42543c2, 0x13c306eb, 0xfa202128,
+    0x84f1007d, 0x62bedc5f, 0x4fa2c404, 0xa12b4538, 0xc184078e, 0x6169b110, 0x5e1f452b, 0xa067727c,
+    0x23a5f55c, 0x7acdf295, 0x8f474468, 0xbe9df7d3, 0x2771c8a0, 0x8e917c99, 0x0a632909, 0x1101e148,
+    0x3a77538a, 0xd4624fbc, 0x079f2003, 0x56e80c36, 0x13241e74, 0xadda0e40, 0xd0347323, 0x0f20480f,
+    0x5ad765f6, 0xbcf2cfd1, 0x6bcccb51, 0x7ce8ac07, 0x6b556cd9, 0xf61f7c14, 0x8dae5a78, 0x498bafbe,
+    0x564227f5, 0x5f09632e, 0x9606b61e, 0x428ae62c, 0x2c501eb7, 0x0467460a, 0x0eae6d74, 0x4b5f16b6,
+    0x2c7c5c9b, 0x277979f2, 0xe550278b, 0xa7ed72cf, 0x72a2a6c8, 0x75695398, 0x248880f1, 0x61e9a237,
+    0xf34a8f39, 0xa4d8e4c2, 0xd1678a11, 0x754efb1a, 0x751ead99, 0xd7dd9ebf, 0x982211f2, 0xd882f015,
+    0x8bcb8406, 0x361e76be, 0xe6d356ae, 0xd4180109, 0x2606af12, 0x89b0125a, 0x4995d7da, 0x1988c439,
+    0xc2d2db6a, 0xf293c9df, 0x27097dd4, 0x8e9bc8e9, 0x065b4ff1, 0xf068b70b, 0xb3db3326, 0x0a453bf4,
+    0xd2e00430, 0x34503491, 0x71439e3e, 0xdbce3293, 0x5bd07b47, 0x78684b40, 0xba870bbe, 0x570734aa,
+    0x83ceb146, 0x554a8a5a, 0x04c7cef1, 0x4d98d27d, 0x29dc1d1a, 0x184d8c0e, 0x5d8c622b, 0x849b6227,
+    0x2a789736, 0x5baf9fb2, 0xfb7d859b, 0x2aefb37f, 0xff395442, 0x2bc56c1c, 0xc5e8e00e, 0x8d5ef27f,
+    0xec5f6771, 0xdd42c573, 0x700ae9e7, 0x4431c8a9, 0xb2ef0721, 0x262d60f7, 0x82723887, 0x68185aab,
+    0x62ada304, 0xc1b374b2, 0xbc4d1559, 0x71a866db, 0x40ed2b4e, 0x90a0723c, 0x246a3995, 0xb0bdddd6,
+    0x14c37420, 0x2a1ae7fe, 0xf6d3f9d1, 0xcb35f8f8, 0xac3abe76, 0xadcbb273, 0x5583c895, 0x2010b12e,
+    0xa7578e2d, 0x665141a5, 0xa8331c38, 0x46ced366, 0x026041cd, 0x8c33ee12, 0x20bdd645, 0x1898c46f,
+    0xe3d0317d, 0xb0ef7d78, 0x2c7b3044, 0x8bdb312b, 0xf9aedee0, 0xc7c2e18b, 0x4eb11a91, 0x4f7c5229,
+    0xe12f2d59, 0x151c5a04, 0xa64aeb88, 0x5230028d, 0x62abc768, 0xafe55783, 0x3ab432eb, 0xed2199a2,
+    0x4490545f, 0x5a33f7c2, 0xd44322f2, 0x84399fb0, 0x67baffc2, 0x1fc46587, 0x4e287d91, 0x87b7fc83,
+    0x661b30c8, 0x7a164b90, 0x01dab882, 0x4b635d18, 0x4b133600, 0x82de7e1a, 0x549641f8, 0x971461ee,
+    0xca876d4f, 0x8802dac9, 0x74a66f02, 0x27190df8, 0x71dcfd86, 0x08049154, 0x3af3c61f, 0x8098bc46,
+    0xed4174be, 0x4b9baca4, 0xb9f44580, 0x65a353fd, 0xbfdb773b, 0xffb507ff, 0x746c4632, 0x8ee17f70,
+    0x1e3c3480, 0x91fab2e1, 0x325894d2, 0x1158d708, 0x1d44935a, 0xc64408b9, 0xf7932cb5, 0x6eae3b0f,
+    0x3bf91409, 0x8318d587, 0x0e82a6b9, 0xe986f8fb, 0x14d11726, 0x38965be4, 0xde0f2d88, 0xe80bc299,
+    0xa35437de, 0x969a2a84, 0x468047ba, 0x973a8ce6, 0x93dac92c, 0x78495e2f, 0x6acd0fe0, 0x352c1ee4,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000303542\
+                          01441027016733116592294117482916287606860189680019559568902170379456331382784 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c,
+    0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c3, 0xd317ccd6,
+    0x00000000,
+    0xb5880860, 0x2f79066a, 0x9662cb18, 0x814b44db, 0x512b419d, 0x5c23c039, 0x1f68391e, 0x6bc1e8dd,
+    0x96b0654c, 0xea5b7821, 0xeda13993, 0x7c2fe395, 0x0203747f, 0x90ef8e92, 0xa5a83a61, 0xb2a3f636,
+    0xc09b07a2, 0x93b30643, 0x753a2890, 0x5f857083, 0x077ade5a, 0xab910df8, 0xe91aa3e6, 0xaaf110a2,
+    0xbc65342e, 0x69cee8c4, 0x8d9d19c9, 0x4be8288f, 0x1aa684aa, 0xf015dcca, 0xab493fb9, 0x32dd04e6,
+    0x6a735187, 0x6ca85b0d, 0xf05e1f91, 0xe276f9e4, 0x41aa0c08, 0x0d04934a, 0x294244fd, 0x1204229a,
+    0x4e752b8c, 0xc3070270, 0x5e988087, 0xcfa9f00a, 0x02c7a5f7, 0xf8b68ace, 0x3add1c56, 0x617d0ee4,
+    0xd4439fa9, 0x913b6811, 0x81ec1d04, 0x21c922d6, 0x02930b4c, 0x75fdf5f4, 0xf4cce15e, 0x220c2561,
+    0xcf8dd696, 0xf53df281, 0xf4df09f7, 0x415a9916, 0x83ea68a2, 0x08fb3017, 0x74aa9510, 0xe5f379c0,
+    0x4a562a1e, 0x5b8d07af, 0x1ee5ef42, 0x91436978, 0xfd213a5c, 0x32705f95, 0x07b540e3, 0x43d2a0c5,
+    0x39ec0faa, 0x4933859d, 0x523fbe3e, 0x790e4575, 0xdc633dc2, 0x0ddbe320, 0x4d11aca4, 0x101ea363,
+    0x6794bb42, 0x2181e8a2, 0x686a3e30, 0x2e5cd4ec, 0x2e78f6d0, 0xece7cc9d, 0x009fd5cf, 0xad92b52f,
+    0x1a0b8acf, 0x2421302e, 0x762b4fba, 0x6cea27f0, 0x8cdb8580, 0x2a34b5ed, 0xca3da854, 0x90580f53,
+    0xb7e7249e, 0x6c53b4ca, 0x96012e1b, 0x038b972d, 0x30c74af7, 0x603678b6, 0x42e201b9, 0xc30f94a6,
+    0x0e3c86da, 0x3950c51f, 0xa7777400, 0xcc83a97a, 0x799b6d3f, 0x566ce72f, 0x50763ef3, 0x6f97f8c0,
+    0xb62fce62, 0x50b98d60, 0x8c894b11, 0x0871e1b6, 0x890ba7ba, 0x552c6fc1, 0x4fffdac8, 0x55c944c3,
+    0xa2ba3974, 0x67c0690a, 0x195d8a49, 0x9c48dbaa, 0x8b297140, 0xe6e160d6, 0x45a939ab, 0x6bafc025,
+    0x03b067de, 0xc5936741, 0x9c2c9b8b, 0xc7581b8f, 0x642c45a8, 0x986e2c1b, 0x5bb73e07, 0x0d74ce36,
+    0xf72d8124, 0x889ab0bf, 0x60388e92, 0xf75f7c15, 0xffe42e82, 0x3e2f6e8d, 0x54c9b5b0, 0xbb99045f,
+    0x8f5db421, 0xcd2dc831, 0x39924b8a, 0x7ec8f33b, 0x9af1144b, 0x28f428e2, 0xd8ebb2d1, 0xa34aa683,
+    0x53e2b564, 0xd71df0c7, 0x8b462b71, 0xa51abd3e, 0x3f083bff, 0x15918e3f, 0x3b9c0427, 0x767c5c50,
+    0xfabc00ef, 0x12ccf202, 0x90f069b1, 0xb54e880a, 0x689dca9c, 0x24cfe8b9, 0xef759f2d, 0xc7748989,
+    0xa18a94e6, 0x247cf612, 0x2bddca5d, 0xf6a7f937, 0xcb645dfc, 0x69e628d0, 0xbf14dd8a, 0xe9e41ca9,
+    0xb2392c71, 0xd5ee0a5a, 0x9ada771d, 0x88669716, 0xbb62dd5d, 0x16668c7d, 0xd17f07bc, 0x219d851b,
+    0x52daf980, 0x5c70ed1b, 0xcf5420c3, 0xa2a97c74, 0x85d03be8, 0x243d5ef1, 0x7b21d672, 0x66c5d01c,
+    0x06dab2b3, 0x542d47ea, 0xc4f24668, 0x0675b49d, 0x1cdfbce3, 0x20ae831c, 0x4a39bdc8, 0x8e3e857f,
+    0x8ad351a9, 0xcf12311d, 0xf2416a2a, 0x8c42e1ec, 0x6bab8d55, 0xb976d40e, 0xda1c2ecf, 0x2f47b098,
+    0x5a4656ff, 0x3f2e5783, 0x70f4b128, 0x7e388bb1, 0x396ce8d7, 0x32bb16a0, 0xaa91df03, 0xb7f0ba7f,
+    0xcb37aec3, 0x2e1280c2, 0x537a52c3, 0x3621f1af, 0x76ff0c62, 0x231bcfd3, 0xc8b75680, 0x6493b70a,
+    0x69fb75e1, 0xa18771ec, 0x77fa5191, 0xbb1d7045, 0xe6afa611, 0xc3b610a4, 0x3eb10039, 0xf1a390f3,
+    0xe72dbd32, 0xd908ea8a, 0x3bfd5ceb, 0x70460de5, 0x6da4f1ca, 0x53b356b2, 0x7ce9ae06, 0x889e9637,
+    0xe9b3e9c4, 0x2150a708, 0xc08416aa, 0xf0204e2f, 0x708c0d32, 0x607dd186, 0xe6b78ee0, 0xaa5e5b65,
+    0xbcd54db9, 0x5492de17, 0x255995b7, 0x4e63d292, 0x050aa93d, 0xc0d90fc4, 0x970e6661, 0x531f4488,
+    0xc3680587, 0x31346acc, 0x43d97728, 0x1f024b29, 0xa920bf60, 0xfe200fd4, 0x3ccaf90e, 0xfcc7f16c,
+    0x62e71cfd, 0x3abe6dd6, 0xc975c294, 0xc5d545ce, 0xf662bf76, 0x85db5861, 0x57617b74, 0xb7054ba6,
+    0xc95474b1, 0x684d072d, 0xf4abdee3, 0xc90046f6, 0x27ef6e8a, 0x21193705, 0x68abfb88, 0xa886aa36,
+    0x2edcb1a0, 0x4fe75194, 0x4647b8fd, 0x174eb1d1, 0x3122ce90, 0x21fe37b8, 0xd7ae4ea6, 0xd50bd6f1,
+    0xfdfd54f9, 0x013770bb, 0xdfad14b9, 0x861a11eb, 0x8893e116, 0x801a0c18, 0x619a87b6, 0xa3514c25,
+    0x3147cbfa, 0x7b37e7f7, 0xbc2c8493, 0x3aeb7a35, 0x077b95ae, 0x32a57216, 0xf76c1200, 0x0d5f7a51,
+    0x98105a6b, 0xd407cb5b, 0xc6525bd4, 0x571a26fa, 0xd7dc7c99, 0x222aec88, 0xdde16ce2, 0x3abf2ffb,
+    0x522fba7c, 0xf869373c, 0x634c1981, 0xf008b86d, 0x55d32cdc, 0xaacc7d03, 0xc392de9e, 0x06252cea,
+    0x29d1caa0, 0x5e5a16e6, 0x937709fa, 0xd3681cf3, 0x1cc97958, 0xd7b57c7b, 0xeeda3f1f, 0x7cba3e69,
+    0x5988e06a, 0x4afda41e, 0x2f5e1278, 0x49ee1681, 0xde555bc0, 0x3c2f4469, 0xc1beb6ee, 0xc6cbce18,
+    0xb9a9f01c, 0x2455a1b7, 0xd08eeff1, 0x73d93e31, 0x7e78ed62, 0x3caf8e1a, 0xf9b39e60, 0xff2805b6,
+    0xdbb8a9cc, 0x4551ec1c, 0x8f61a644, 0x657a5774, 0x6a13fedc, 0x65df84e2, 0x34af136b, 0x8df42139,
+    0x04be1482, 0xe6bbfc04, 0x04ef7034, 0x347c1b07, 0x1b981cdc, 0x20f777b5, 0xa5d08b9b, 0x31a96866,
+    0xa93d1397, 0x14c125fa, 0x63220655, 0x02dd66f4, 0x2928e4b8, 0x89566bc7, 0x892e7014, 0x769cf366,
+    0x143ee0ca, 0x484e9a4d, 0xf1ddd64d, 0xf53fdfd1, 0xffb65580, 0xca0a3196, 0xa4dbb94f, 0xedc30f08,
+    0x8ef2d19f, 0x5b1e46dd, 0x7f7f9d61, 0xb111ebd7, 0xca181a99, 0xb2d7a91c, 0xf22c4c74, 0x5da2f9b6,
+    0xcc370b04, 0x14aa1cc2, 0x77e6ac47, 0x9c158a9f, 0x380bd107, 0x5a4c45bf, 0x80a3fe5d, 0xb202a969,
+    0x6d4d24c1, 0xbc4057d5, 0xf5a0f6bc, 0xc65ba399, 0x082bb13c, 0x36cdccc7, 0x5673ec3c, 0xbe6e0ac8,
+    0xf313ffcc, 0xf906f9c8, 0xa02727b9, 0x55a488aa, 0xfb06ec9e, 0x5e5667af, 0xcef96f89, 0xc52b0f89,
+    0x43ee1fb6, 0xa4b7b53c, 0xbda0ef5a, 0x078f2f9a, 0x735d82a4, 0xb549c1d4, 0x49393cca, 0xd5fe7440,
+    0x36226c55, 0xd7c0ff17, 0x096b6eb2, 0xa1528482, 0x59acdaf8, 0x2522837a, 0xa055fd0a, 0xc6708a3b,
+    0xb5ea0c83, 0x908b492c, 0xbf562e3e, 0x1c90ed9b, 0x01f529b5, 0x6f7728ed, 0xc3aaa51b, 0x26caf770,
+    0xd83021f0, 0x4775e7cb, 0x10ce1ab6, 0xe3a4ba33, 0x5d70b87f, 0xc588c9dd, 0x557e1cee, 0x92e876f6,
+    0x1942182d, 0x2404cef9, 0x2f0a6722, 0x91c0f96d, 0x0225b3da, 0x047ea119, 0x8c308f8c, 0x1798327f,
+    0x350faf8d, 0xfa93fe50, 0x4faef98b, 0xeb45f82b, 0xca452816, 0x9cf33370, 0x416db80e, 0x7d142e06,
+    0x5c3986bd, 0xf2b517d1, 0x61941c59, 0x73521ec0, 0x63c3ebeb, 0x554ca436, 0x6cfeb8e4, 0xc519c94d,
+    0x3167a152, 0xfa94e21a, 0xd1ed98ed, 0x4f5c8b22, 0x66d68a1d, 0x68180060, 0x42541382, 0x621adeed,
+    0x21a76fba, 0x69a58acc, 0xfe495ea9, 0x89604b6b, 0x0a614383, 0x190f0599, 0x8145e57a, 0x57cfa633,
+    0x0caed99a, 0x99ba016a, 0x836de1ec, 0xcf400d12, 0x90ccb52c, 0x15c0ab2c, 0x82293657, 0x078d28b1,
+    0x3a115187, 0x3ab605cc, 0xfec0cd2c, 0x16444559, 0x18d33e91, 0x1ff2156c, 0x04e9267d, 0x6d007197,
+    0x20777fc1, 0xde8cc174, 0xed046b0c, 0x25d642de, 0x3d1d75c9, 0xff033cfd, 0xe4f5bbf3, 0x022b1f10,
+    0x562f8eea, 0xd58328ab, 0x168fb11d, 0xea3e8e67, 0x884864b5, 0x77cc8dea, 0xc1ad2331, 0x2ca4f0cc,
+    0xdb224eb8, 0x9a8d7178, 0x9cf3f527, 0x5bf2ac75, 0xc48a0eee, 0x94fed993, 0xe4799ec4, 0x810b620b,
+    0xdb8324d1, 0x46f3ec89, 0x517bf0ca, 0x4d2ac98a, 0x50b1c022, 0xbd61cac3, 0x099240e1, 0x8899c66b,
+    0xc10cc5ec, 0x55578925, 0xafabfcb8, 0xf9a9394b, 0xfee33b63, 0x38053802, 0x3db47f11, 0x927bd86b,
+    0x5cf7466e, 0x086c7a9a, 0xecfb78a7, 0x4a2bd0bd, 0xf0aa1aa5, 0xaa8b5e0a, 0x874753bb, 0xbcb369c9,
+    0xce097069, 0x2416a00e, 0x65f13ebe, 0x13988939, 0x9d111793, 0xf77f6894, 0x68404212, 0x3256c486,
+    0x87877349, 0x06e400c0, 0x58ef6e56, 0xe9adf68e, 0x0a567613, 0xcff27d12, 0xdc16a7c4, 0xee703062,
+    0xfcf17609, 0x7976dca1, 0x41f85cf6, 0x60c7c5ae, 0x5d566bac, 0xb82d9b51, 0x5ff71f64, 0xf2e110c6,
+    0xbe2a9505, 0x0f1bdde0, 0x17564bc6, 0xc9d5d178, 0x57c7ec9d, 0x372df049, 0x68065d4a, 0xea59532d,
+    0xfc9e0b68, 0x77beabc3, 0xead2d154, 0x2fd8c80c, 0x87c359bb, 0x6dd368c1, 0x4d2b2386, 0x17dd020d,
+    0xdb3efcfd, 0x0d285aee, 0x0de06420, 0x5d428fd6, 0x11ebc696, 0xeec20bcb, 0x44f705cf, 0x9f7616ee,
+    0xe958c7e5, 0x4b6a0cc4, 0x34b513a9, 0xa387723d, 0x5e5a8c6f, 0x0374a878, 0xb0ce14a6, 0xa6af387d,
+    0xba2e0340, 0xae358715, 0x44ce1207, 0xf725b59a, 0xf1e085ae, 0xa44d30b7, 0x0258a653, 0x9698ed70,
+    0x7b3d51b5, 0xaac0d29c, 0x3b3698f6, 0xc011c6e4, 0x04e778dc, 0xf63393a7, 0xe3e58639, 0x79712779,
+    0xdd22aaa8, 0x9ada9989, 0xe5b26105, 0x59cd6968, 0x695b31cf, 0x36e319e7, 0xae68e285, 0xcb317272,
+    0x79ae09d6, 0x00484f60, 0x19643196, 0x61679228, 0xa9114c8f, 0x7cd3d2c2, 0x7308c3b2, 0xbbade07e,
+    0x70583886, 0x5a7c0613, 0x6b1c5b8a, 0x0b6209ff, 0x1a979c74, 0x0e4a59e4, 0x8161f906, 0x1247bdd9,
+    0x54b40550, 0x1f60c1f9, 0xe939abfc, 0xd9b865c4, 0xb78e0d46, 0x4eda3ebf, 0xef54fd71, 0x1c3df0bc,
+    0x97f078dd, 0xe8dc8609, 0xd4919114, 0xf280a493, 0x9d0d4b40, 0x5371e26f, 0x0c9f98e5, 0x3ac5b227,
+    0x0a4903a1, 0x220ab178, 0x9707b677, 0x1ad3a164, 0x27e5341f, 0x24299052, 0xeb03bf6d, 0x8b246f32,
+    0x09a5b4bc, 0x3270c686, 0x65232fbf, 0x28e9964f, 0x59702907, 0x1f5a0b00, 0x9a3a020c, 0x7a097741,
+    0x62d3861f, 0x55765b99, 0x699152a3, 0xb870ba28, 0x717668ed, 0xf164921f, 0xe5c3e59e, 0x038b3ebf,
+    0x2b5a9cff, 0xdad5afc2, 0xd9e48cff, 0x255d3e1d, 0x0a60238e, 0xf7b4400d, 0x246a8c3f, 0x06054845,
+    0x76e31345, 0x212c6931, 0x13e46c7b, 0xa9a51ed6, 0x134a1fde, 0x4f4d2a3e, 0x0d6caaec, 0xf7b73aea,
+    0x9a3da479, 0xc02ab2cf, 0x0c75b28b, 0xd0935ca0, 0x2cfe4bbd, 0xb938baba, 0x294d7673, 0xde269d9f,
+    0xbb3655c7, 0x5b2a9127, 0x235c3d23, 0xcbf3e653, 0xaaa324d8, 0x2ad9b4ef, 0x04ad82ce, 0xd7685642,
+    0x22315c73, 0x5d673f7c, 0xbde76f6b, 0xba91cb25, 0x9153918a, 0x47522a3e, 0x5a775666, 0x36bfaeff,
+    0x7d834287, 0x8acc5003, 0x2247b019, 0x9176774c, 0xd7e93956, 0xabcef497, 0x39718e12, 0xf5334945,
+    0x17a6663d, 0x20bdff7a, 0x21c2f974, 0xdbf028d2, 0x62814d15, 0x3bd07d1b, 0x2911bf18, 0xc2b8556c,
+    0x901c2a23, 0x8e8e96a6, 0x1efe319a, 0xecad06e5, 0xeefa02ae, 0xd6a96c43, 0x9737d2af, 0x17adf9c9,
+    0xc9c4d203, 0x289dbf30, 0xd9ac5b1a, 0xc04f9f22, 0xedb94c20, 0x38331fdf, 0x6b8ddb04, 0xa9147aa3,
+    0x20cb55e7, 0x0f7c8e72, 0x7f17c616, 0xa06b1dc3, 0x00231fc1, 0xb902e391, 0x1b850303, 0x8724e5b8,
+    0x95d095d1, 0xdee6f9d2, 0x6f25bf47, 0xf8031ce3, 0x266376f7, 0xbadf1b5e, 0x9086e64d, 0xa9e47f8f,
+    0x503d6d4b, 0x12ac6e89, 0xd5f4d591, 0x279067ab, 0x42892251, 0xfa997eaf, 0x06e02de7, 0xdbc3f2be,
+    0x241e5fec, 0xfb66031a, 0x9d68b837, 0x785c9d76, 0x8dce1a0e, 0x1e108a39, 0x983bb7e8, 0x2f996345,
+    0xd0390dff, 0x219bc830, 0x704923a0, 0xb4d4140d, 0x66fd4275, 0x7f3a0339, 0xd280ca62, 0x41ab5eaa,
+    0x1361a993, 0xca121fb5, 0x36d2f623, 0xa5772b4b, 0xfed2e88f, 0x89151f01, 0xe1983c6f, 0x50e461dc,
+    0x651f64dc, 0x3774e84d, 0x2f392e8f, 0x53443bb8, 0xdc050203, 0xb0648146, 0x5d24c6dd, 0xb8e4538c,
+    0xab0139fa, 0xaab26f0d, 0xb7f79026, 0xda3c52d5, 0x6c5b7206, 0xdb9d7a2f, 0xb5288c39, 0xca5380a0,
+    0x794d85c5, 0x3473925a, 0x092c1e03, 0xc3962dd4, 0x64315a3c, 0x18532a28, 0x554432a1, 0xa4358b8d,
+    0x6e6792e7, 0x3764870a, 0x1d082f58, 0xd148fc09, 0x3bc007db, 0xd8830400, 0xf2c09adf, 0x1629d23a,
+    0x70c3d2a6, 0xd7e85421, 0x878b910d, 0x8e92e3dd, 0xdf1c4ff1, 0x7525c546, 0x0f595501, 0x693ac8b6,
+    0x0546c365, 0x7cd8c7ca, 0x25347a66, 0x54593452, 0x2ab9153f, 0x6ae658f9, 0x3ee4c36b, 0x5b0120df,
+    0x99fdede8, 0x2a6f0d16, 0xd31a9322, 0x5b355e76, 0xb81d8af0, 0x3fdaf1f3, 0x4644316d, 0x8408fbfc,
+    0x14b51468, 0x1fd1b5ec, 0x2c2bcd22, 0xb2c2a577, 0x70a2bde3, 0x34838ee6, 0x5155a66c, 0xab843913,
+    0x6f0fb1f5, 0xb452339f, 0x4ba7a027, 0x5f8e9180, 0x5e618bde, 0x0ec14697, 0x6452d418, 0x404d3c11,
+    0xc337cfff, 0x6235fb47, 0x044e94ae, 0x613a57ec, 0x5cbab989, 0xd3a2bb2e, 0x8d9ebe1f, 0x0c1dfa69,
+    0xae0d75f0, 0x91f5d976, 0xedf1624c, 0xca3da7f2, 0x57e40339, 0x836b7d6c, 0xd7ea7f5b, 0x77b6bf38,
+    0xe6c457dc, 0x930dc255, 0xc0c3b1ed, 0x2098179d, 0x678f4ed0, 0x990a3d8b, 0x66fa4d6b, 0xf5b760da,
+    0xfb337189, 0x907f9b2a, 0x85cada0c, 0xb77d6fac, 0x8cf940a9, 0x94bd9e75, 0x69a5470e, 0x8f33f1b6,
+    0xfcfda122, 0x3c454895, 0x3e6ad03e, 0x097ee173, 0x7c44f79e, 0xd94b5e0c, 0x4f2660a7, 0xa259cd33,
+    0x40ceccd1, 0x116b69d9, 0xece5e513, 0xef68dd2f, 0xdd0d9138, 0xb466cf81, 0xda2da1db, 0x02d926ed,
+    0x4876090b, 0x3af7c334, 0xdc478678, 0xa5840ce2, 0x27e27dda, 0x0c82ba55, 0x1294659c, 0x78a7ae3d,
+    0x474c8811, 0x1a00a844, 0x3f9ab3c4, 0xcba6efbf, 0xfc19073a, 0xcfd1ec4f, 0xf5cdd775, 0x275ed96c,
+    0x2eebb4f0, 0x764a967d, 0xd9ce0df2, 0x16be9407, 0x6350d500, 0x807bd29c, 0x534223e4, 0xa1b73eb4,
+    0x40405808, 0xb531bc3f, 0xe8f102d8, 0x6de0d5cd, 0xf86096c6, 0xefba16d7, 0x20f94612, 0x75c3fdc8,
+    0xa66f8c7f, 0xac82d64c, 0xf6acabb7, 0x3df5f4a5, 0x90dde16a, 0xcbdcaf53, 0x50e01a55, 0x511bf148,
+    0x4ecc02ad, 0x6f39247b, 0x3bf96947, 0x39be1863, 0xed5fc2ed, 0xdee24430, 0xa2a4cf24, 0x13965d1f,
+    0x8ce2247d, 0x4e58fd31, 0x859acb0c, 0xbc58679c, 0x14197c4c, 0xdd2c4695, 0x11b9d822, 0x5813b6a9,
+    0xadb9215a, 0x12da4f3e, 0xfb531452, 0x4a37bde6, 0x5feeb33e, 0x9b3b73d8, 0xcc1508b3, 0x7f66aea5,
+    0xa1f483d6, 0x7b89f902, 0x125ef78c, 0xa798a0bd, 0xecaa9dd9, 0xf5175a53, 0xc551cbba, 0x9aca831b,
+    0xb931187c, 0x2c03418e, 0xe33163f3, 0x8be51d4f, 0xeeab835d, 0x235a8942, 0xeb2e7cdd, 0x2212bbae,
+    0x52de7f2c, 0x2b14ea45, 0xd7473bf4, 0x69a6eddd, 0x25891405, 0x323ccb41, 0x4774888b, 0x247acaeb,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000151771\
+                          00720513508366558296147058741458143803430094840009779784451085189728165691392 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96,
+    0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf461, 0xe98be66a,
+    0x00000000,
+    0xd792dfea, 0x93ade0f4, 0x8b97e41a, 0x1b59137d, 0xde39a0fa, 0x9baeebd3, 0x5c535cea, 0x0bb4ce90,
+    0x3e92c895, 0x8495afd4, 0xb5c51f8d, 0xf89b7d3e, 0x484be446, 0xe335b870, 0x4c2ab1ce, 0x9acd6ab8,
+    0x143cb1e4, 0x77bdfda6, 0x6180b6c7, 0xaf1c6de2, 0xdef87b90, 0x45d23f85, 0x4c21e406, 0x433670c9,
+    0x96f4ceec, 0x11eaf16b, 0xc170256e, 0xc3d4d470, 0xdcd6b3dd, 0x131e4bbf, 0x02556797, 0xe99faf2c,
+    0x824202fe, 0xf806ce72, 0x6e4f80b0, 0xb6a32ce7, 0x46f5f6a6, 0x7161c384, 0xd034b846, 0x4ae7e194,
+    0xa5827990, 0xcce4eed6, 0xe00b1259, 0xa0d641d7, 0x3f85e40e, 0x7f4f78ad, 0xb98107d2, 0xc1157417,
+    0xeef18ce6, 0x9844a841, 0x99554da6, 0x36906684, 0x4f3127d5, 0xc5597137, 0xa1b8de38, 0xf6c6b8a7,
+    0x389ec0a6, 0xf03d2a02, 0x3162cae7, 0x255ab631, 0x930ed5f2, 0x837f1e57, 0xab51e3c5, 0x19a52776,
+    0x4b67131d, 0xb84dce52, 0xe4a54193, 0xf0c09fa5, 0xc0b29286, 0x7fdda607, 0xec5a81d7, 0xd35789e9,
+    0x354bcbcf, 0x576e7605, 0x2dd648a6, 0x870e10dc, 0xd0052f53, 0x536315f2, 0x1620cc6e, 0x4c0065bc,
+    0xc286b489, 0x467a4680, 0x3d1ba583, 0xba0b5d48, 0x5a38c7fa, 0xbf985438, 0x5f3f344d, 0x0b775db9,
+    0x7c20bd6b, 0x68d0eeb5, 0xa5b6189c, 0xca5d6061, 0xb9055185, 0x2e45af34, 0xb3664e66, 0xf44f75f4,
+    0x9fd49ff3, 0x5a2454f7, 0x5b458cac, 0x9dfccf02, 0x371dc021, 0xb0ea8012, 0x4fa6c26f, 0x371cb18b,
+    0xc5f726e7, 0xca96b44c, 0x269e14cb, 0x2662398f, 0xd251fe11, 0xe32d5b77, 0x2bb4d8ed, 0x0cc2608e,
+    0x539b48b0, 0x837fc152, 0x01b953d9, 0x21944795, 0x478ad9cf, 0xe91d65dc, 0xddd13194, 0x4d2a3d28,
+    0x7ccea42b, 0xfe1814fc, 0x6bc3934c, 0xd9da22b4, 0x41314ff7, 0xab3ec9e4, 0x134e54e5, 0x8af0b8bd,
+    0xf635a211, 0x456fa14f, 0xc3c4dee4, 0x47acfa77, 0xb86821f6, 0xf8a69edd, 0xe6ac8ee5, 0x48bef504,
+    0x96a839fb, 0xf81c5c20, 0xf94bdc43, 0xdd842490, 0xa8ef7aa7, 0x450db191, 0xed9fce9d, 0x5f068bed,
+    0x15675036, 0xbc2f55d7, 0xa122f0ea, 0x2b7b02b4, 0x9da6fc2f, 0x27f50ede, 0x4d64a95c, 0x37b2a23d,
+    0x7defe692, 0xd14cfa80, 0xd3265262, 0xca72849f, 0x222f9046, 0x1f01530e, 0xb8a8e576, 0x62c2c4e7,
+    0x3857c576, 0xfad13188, 0xee4a7056, 0x6a9332c7, 0x3e58ca87, 0x38b4d8ec, 0xcd34e4e5, 0xcb4d52f7,
+    0x3a099262, 0x60b9580f, 0x78b2deb0, 0xf3332a34, 0xe60ddcec, 0xe821e2c4, 0xe14b65ec, 0x0ac501f2,
+    0xd648ed0c, 0x81763077, 0xf7ca328a, 0xa49e2f30, 0x784c8fb4, 0x3799f5fb, 0xd0f7d3a7, 0xaa0f24b8,
+    0x7359e2af, 0x63258dc4, 0xe023ed6a, 0x45962c89, 0x9fa6fdf0, 0x6ff2871f, 0x853fb629, 0x3fef4fd1,
+    0x3f009a72, 0x5e7f596b, 0xb33e0ef7, 0x0c53d3e1, 0xfd786943, 0x27a8f219, 0xd5497cdf, 0xc052e238,
+    0xe6229d2a, 0x5ab37c6c, 0x1f3df183, 0x526c89af, 0x3917cbb6, 0xcb5df141, 0x3a637739, 0x81c272a9,
+    0xd3b7d504, 0x49d46882, 0x1897a016, 0x861b25ea, 0x9d0025ca, 0x80395913, 0xeccb1cda, 0x2840fe0b,
+    0x1a21ac12, 0x7927581b, 0xa5c65626, 0x976bea17, 0xdc4bcdea, 0x4115a5a6, 0xd8d8bb3a, 0xbac852fb,
+    0x15bac6b2, 0x775102a0, 0xe2e616a8, 0xb143a8e8, 0xc431262c, 0x77c16777, 0x3e1a81b6, 0x8a2b76e9,
+    0x982f94a0, 0xe7a94328, 0x3407fde5, 0xaf72a1a0, 0xf16aa2f4, 0x32b8caf9, 0x2fdb7c55, 0x36214a36,
+    0x1b3fe6f0, 0xe5ea9a48, 0x7aa2e418, 0x1caf1d45, 0x54a77333, 0x6d1671bd, 0x8a103589, 0x2f162c17,
+    0x80b94347, 0xc8c7434d, 0x2ab6adf8, 0xa6e0ba8f, 0x64d267a1, 0xf58ff3bf, 0x8298d85e, 0xf1b89ac7,
+    0xde7e3a85, 0xe21e0a40, 0x1c83097e, 0x28270e9e, 0x91c9e326, 0x88bbcf2a, 0x86a43140, 0x38b0c4c0,
+    0xa67b0963, 0x7cf08f41, 0xa0a8234f, 0xf64175a1, 0x7ae06b13, 0xbcd3e4b3, 0xeb508bf0, 0xe0b3a527,
+    0xb4c0cddb, 0x758eac83, 0x954193b9, 0xfdf1c5d0, 0x97ec9070, 0x6fb08fd7, 0x1e3c8a9c, 0x0125a47a,
+    0xa1185065, 0xbd574f1f, 0x88b86325, 0x6bc65800, 0x1bead7d0, 0x5cb93384, 0xcc7810ec, 0x5f5e23a8,
+    0xa629f385, 0xe430ae3c, 0xcd761d72, 0xb9614db7, 0xdc0e012b, 0x1ff271c3, 0xc77a1652, 0x02ac4d95,
+    0xb8411e9c, 0xa4e10102, 0x620d5108, 0xd9fb650d, 0xdfbd1991, 0x402a7cc7, 0xe6b0f0bf, 0x7aa6f139,
+    0x64f5b3fd, 0xc92b0a38, 0x829fbb48, 0x5f1c80ec, 0x5a067fdc, 0x71be3110, 0xa680d5f4, 0xf8852eef,
+    0x4d4b0746, 0x50b013b8, 0x8db2c9fd, 0x49a2af52, 0x60848f9b, 0x1a52531c, 0x7586db69, 0xf8775f44,
+    0x32fa4ca2, 0x22e95845, 0x023dcc21, 0x6b469ac2, 0xb2fdfeec, 0x032a1f20, 0xf4ef5fec, 0xaaf1f751,
+    0xa427901b, 0xdf181f4d, 0x360e8a6f, 0xf2a3a1b1, 0x03037257, 0x52e0aeb3, 0x768db5e3, 0x413d4187,
+    0x8e3ae0a4, 0xc535d521, 0x3d50d156, 0xabf32d5a, 0x0d2a4a2b, 0xd187fdd0, 0xb9543ae1, 0xffc3fea5,
+    0x237adf3a, 0x1a0aa80f, 0x3f569f54, 0x874a592c, 0xc37731eb, 0x4ddc7c8e, 0x7c577929, 0x8772c433,
+    0x68eb8f11, 0xbb691ccc, 0x530618f3, 0x26244fb9, 0x319e331f, 0xc7036709, 0x1147ecd2, 0xc1fbeea6,
+    0xf5418c5e, 0xc567af09, 0x67626d78, 0xf74f1072, 0xe152311b, 0x22ef68b8, 0xd8dbc570, 0xe50868dd,
+    0x8e94827a, 0x3211265a, 0xa653f90a, 0x0cee6f71, 0x8b97552e, 0xc6d1aa27, 0x5dddcd2e, 0xcdd097cd,
+    0xc95955a0, 0x07ec5530, 0x157cb2dd, 0x18cf0f07, 0xc74665c1, 0x0aec35bb, 0xe766a986, 0xe248b5c7,
+    0x2d6c0926, 0x7d19e409, 0xe47309c8, 0x301a72bb, 0x888b1e5b, 0x8148a6d0, 0xf54de81c, 0x8bca004b,
+    0x1bda3e83, 0xb5a665dd, 0x0e48b9ee, 0xb432812c, 0xfc53e6b8, 0x284f9189, 0xd45e4405, 0x7a197051,
+    0x5f22f189, 0x72f9aff9, 0x13965fe1, 0xdd9a23e3, 0x330e0312, 0xc04f0e18, 0xb1c24db2, 0x535822ea,
+    0xff915316, 0x86c2fa11, 0x56c69d10, 0x308c93f7, 0x3ba08873, 0xd03af6f0, 0x89e41a83, 0xeee1df1a,
+    0xf50a4816, 0xffa55c03, 0xfe02d5e4, 0xd51c41ed, 0x7657ac63, 0x4956f436, 0x5823ba35, 0x8fe2859f,
+    0x25c4c865, 0xd48d53fd, 0x0a8a371c, 0xf2d3e836, 0x83016c24, 0x13b8002b, 0x98a2ab1e, 0xaf55e7d1,
+    0x5e8a6453, 0x90af0e43, 0xcb9aeb32, 0x014c546e, 0x1d48e460, 0x9fd78f2e, 0xd10c01e2, 0x794898b3,
+    0xcbca6415, 0x0a6bd6ce, 0x524d2465, 0xc84ff75f, 0x4e6e4a0f, 0xf3b5c77c, 0xdb23feaa, 0x399cc78e,
+    0xfa193661, 0x1f5c3b41, 0xf220a012, 0x8d7a4f1c, 0x7f06ab2e, 0x6ac58431, 0x5889761b, 0xe65e159e,
+    0xc90d0302, 0xfca40a4e, 0x3b0de03c, 0x465cb7a5, 0xb189ebaf, 0x118c7ae0, 0x053523e0, 0x62279eb7,
+    0x5abe7fad, 0x2b1eca66, 0x6904eb33, 0x12329b76, 0xa92dd0e0, 0xe65b0915, 0x26f36874, 0x9ea5d091,
+    0xec4d4896, 0x7afa560b, 0x3d561789, 0xd156b8fe, 0x2dbad3da, 0xb082499a, 0xe8f05ada, 0x38f6b557,
+    0xe296fc60, 0x1f2602dd, 0x1e455984, 0x57b3368c, 0x7d99c1bb, 0x772f4f16, 0x432af915, 0x5c6a358b,
+    0xfb24ed2a, 0xf9ef9c81, 0x7fc422a1, 0xad45c352, 0x2ea2746d, 0x1a1d2a08, 0xefea9c9c, 0x39127dd1,
+    0x2153cd9b, 0xc3bcc316, 0x645f3500, 0x76bc9975, 0xe1f5e130, 0x459542d0, 0x91da09e1, 0x9b223fb0,
+    0xcb6da56f, 0xc13ead6c, 0xe3e3e146, 0x7a9c9314, 0x88612605, 0x30cf8fa2, 0x6b7a5d58, 0x1a332584,
+    0xe6acc075, 0xd492eb21, 0x8c9d68e1, 0x0cb55695, 0xed97319f, 0xcb6cdac1, 0x04335ef9, 0xdec57093,
+    0x0eec8e16, 0x79760471, 0xad457777, 0x6711c284, 0x4178a9ad, 0xbb0519ca, 0xb27d555d, 0x5f96a9e4,
+    0xc7defa7a, 0x669c49fa, 0x8bc7a367, 0xe459964e, 0x98ad37dc, 0xfc728615, 0x1aa67f44, 0x6524d8c2,
+    0x37e856f7, 0x56d38dbd, 0xd99c86f8, 0x7e9266fa, 0x8fe94f61, 0xe75e3632, 0x5e48d95a, 0x73aadfbb,
+    0xcd4c9e2e, 0x3ae15872, 0x2187de90, 0xf6ba43a8, 0xb81b67e0, 0x070868ed, 0x3c9f6c14, 0x8848f614,
+    0xc7acd088, 0x9b7c5b47, 0x8d19874b, 0x7eae2563, 0x0d07fb0b, 0xf9ddf2c8, 0xfa766c65, 0xd012d39c,
+    0xd882eeef, 0x5f821714, 0x84547a50, 0xeae8a244, 0x59281208, 0x9a950e4d, 0x796d3cc2, 0xbc8acbf8,
+    0xd6bdfaeb, 0xcdf24e4d, 0x8b00e516, 0xdabcf370, 0x1d7e3223, 0x2c327a10, 0x73730f02, 0xe63d041b,
+    0x98dfda13, 0x69c7b4a4, 0x20869ea9, 0x543f65c0, 0xb0fd5974, 0xfb83b619, 0x25406ee2, 0x615dabee,
+    0xd2c0d5e8, 0xc5536f5a, 0x8962b781, 0x3dc34f1e, 0xc6e5633a, 0xeca69d8e, 0x8f3bf0c1, 0x51db8af1,
+    0x8d221da1, 0x1c60950d, 0xf22611c4, 0xd8f70d67, 0x9ee29e67, 0xb63df2b0, 0xd9318902, 0x76b45317,
+    0x2dfaa7be, 0xc6df5473, 0x455aa3bd, 0xf36bbd85, 0xd61cd05e, 0xda94b73d, 0x73bfda3b, 0xb77b9d67,
+    0x7fd8a379, 0x99dd4ac8, 0x45f04378, 0x06ab86ba, 0xdd894f38, 0x20b2985e, 0x47a64e69, 0x1a82a278,
+    0x07636c1f, 0x8d6328b4, 0xe5a18072, 0x886d2600, 0x264ff55e, 0x8b48c211, 0x50cc09fa, 0x33592bf1,
+    0x6e4bacae, 0xdaf435a2, 0x5021e676, 0xc6acbb2f, 0xdd5a817c, 0x7576f1e4, 0x73b669a2, 0x65401dcb,
+    0xf5918b00, 0xa441bc8f, 0xd2b8205b, 0xbd7abcc2, 0x931307ff, 0x7702eaa1, 0xe134b47d, 0xc55290e0,
+    0xc8103415, 0xba39dc4f, 0xea36f7b0, 0xdb5fed16, 0x8d395102, 0x99144ab9, 0xf90681ba, 0x4cc496d8,
+    0x6dc06883, 0xbbcd734f, 0x8b37726d, 0xeba9e20e, 0xc41f7821, 0xa4ec96d1, 0x8750141c, 0x9e23ac5e,
+    0x146a8d75, 0x1f58539e, 0x8a22fe92, 0xd9599d18, 0xcc084d26, 0x07ef8332, 0xabcc8b96, 0x74f38096,
+    0x4e7ed477, 0xfedab3cc, 0x6884a046, 0xed6ae6e8, 0x810208f7, 0xa645c28c, 0xa3670754, 0xfd8bdc04,
+    0x01811bfb, 0xf6446961, 0x7f089605, 0x04e7b3f6, 0xa9eb0097, 0x30219b9d, 0x9b07f8d5, 0xba13b2d8,
+    0x205a4a17, 0xd8e74159, 0xf4f9c6ba, 0xfb273cbf, 0xd283e281, 0x3a11316f, 0xbade5521, 0x4f9495e0,
+    0xe1204386, 0xb93aa49e, 0xc5124447, 0xe086140c, 0xee47a4a4, 0x2ede538e, 0x2713b4bd, 0x23a798a2,
+    0xfac1a4cc, 0x652e5045, 0xe072ca9a, 0x8d755c5d, 0x73b776d7, 0x11fbcd6e, 0x7dd3ce48, 0xd8a87879,
+    0x23c760d9, 0x1014a2fa, 0xdf563cef, 0x71f0e39a, 0xa65dd829, 0x22cce2a2, 0xa74fab4e, 0x86fe0f20,
+    0x798eeba9, 0x6640a02c, 0xebcb2cda, 0x7c0f9f1b, 0xcb4ce332, 0xded1ae47, 0x794daea0, 0x9cc82526,
+    0xd3e665e3, 0x10a14b78, 0x9cb09dd9, 0x6aa68df8, 0x94d85564, 0xcca3fb8f, 0xd50e80a5, 0x4e67775f,
+    0x2de0e505, 0x04724cd5, 0xb4921e8c, 0xbdb39f2a, 0xa4614770, 0x03570508, 0xf57c2401, 0x4d9c0e9b,
+    0x9abbda78, 0x40d15fae, 0xa5c99f1f, 0xf0873f0c, 0x552c9e75, 0xd202b651, 0xee877bee, 0x3e31e15a,
+    0x103129ae, 0x8eb88b36, 0xb209f9bf, 0xe1922dce, 0x817f784a, 0x7d503a68, 0x5d483f38, 0xf523d7c6,
+    0xd9ed4943, 0xab65c935, 0xd5c485b8, 0x6476f0f8, 0x234ed3c8, 0x9631da28, 0x852a3248, 0xcc985d79,
+    0x3bf6d51b, 0x91de3b96, 0xe252977a, 0x5c95d381, 0x08d627bb, 0x6d35a1e2, 0x1f70d297, 0x6a15a5e3,
+    0xfc1a3f57, 0x1a1bb829, 0xf240e050, 0xb47b5b65, 0x7f5f9637, 0x808aa177, 0x8b80bc69, 0x20f0b0a1,
+    0xd32d6249, 0x078c42f4, 0x50da57b9, 0xe08f6ff8, 0x90621920, 0x7c18db46, 0x7a5a8231, 0xde345fd6,
+    0xcbadea6c, 0xab8e5dc5, 0x9ffc3dff, 0x989fc578, 0x7f2190d4, 0xc6fdd6d3, 0xdd1d0f10, 0x0827123a,
+    0x6010a1fa, 0xc2dc9128, 0xf1233025, 0x1351eb9c, 0x6eea99a8, 0xf2027dff, 0x761e30f4, 0xf74c0d4f,
+    0xb765bcee, 0xf409d21a, 0xc52c205a, 0x28ae1980, 0x16a73ccf, 0x4e2d2fc0, 0xb11afa9d, 0x8ab47ce9,
+    0xccaf7112, 0xbc1a9115, 0x288d2e6d, 0x767acd87, 0xf5b5e339, 0x4ad532cb, 0xa88a759f, 0xc37222b6,
+    0x47af97c7, 0x0994c111, 0x2519479d, 0xf3af2b44, 0x648720c8, 0x82f137ce, 0xc1d4074f, 0x251193fc,
+    0x1865b5f4, 0x9b4e59da, 0x65e48c71, 0x6c5673f6, 0x523397cf, 0xa0dfa3ee, 0x7bb90896, 0x12f9ecda,
+    0x359ce74c, 0xcc10a25b, 0xb1675498, 0xc3d54449, 0xd1d7c52b, 0xf6b087cc, 0x12aab6c2, 0x713d6857,
+    0x7943feb5, 0x5ca4217f, 0x035be9bd, 0x1e587f71, 0xb5bb2ff4, 0x00f1de79, 0x3a66b7da, 0x6964955e,
+    0x81dfb280, 0xa2253a08, 0x7737f4e0, 0x16718cdd, 0x075dbf81, 0x65523ca2, 0xf060674e, 0xfe7b6a62,
+    0x2aa23136, 0x048ad3df, 0x7811cb1c, 0xc08f6fd0, 0x36d2760d, 0x38e31595, 0x9797b408, 0x276515ac,
+    0xd044bb30, 0x0ed29a8e, 0x2d0a3242, 0xf22a3bd8, 0xa6b26201, 0x65c564b6, 0x90d5a4cc, 0x9db5140e,
+    0x640db955, 0x5c0b6e8f, 0x039fb4bc, 0xb5073b95, 0x8383f41e, 0x477b028c, 0xd9664d92, 0xb53ee3b7,
+    0x43982fc7, 0x09735ba6, 0xcbcefa2a, 0xd94178fa, 0xee6a3186, 0x2c8475c2, 0x30ff35c9, 0xc7cb748a,
+    0x19bae444, 0xfd62232f, 0xefffb220, 0x147ab31a, 0xd2626c0b, 0x0d02a0bc, 0xec9bd700, 0xde15b46f,
+    0x3e83a572, 0xc2ba1904, 0x8cb3f276, 0xb6b9f512, 0xc9762b7b, 0x21c99998, 0x9003d119, 0xb35365c4,
+    0xd14eedb2, 0x9c829a22, 0xbde02568, 0xa99a48c5, 0x7a8070a1, 0x8429ab37, 0x5b91eb1a, 0x75271687,
+    0xb08a0a04, 0x9cd4208e, 0x70a03a02, 0x21444da5, 0x13b186c9, 0x2e45db56, 0x4f40960f, 0x649a3f2f,
+    0x6d25c0cc, 0x178d8fd6, 0xbc350f4e, 0x63eb51a6, 0x9c642908, 0x284a407b, 0x5fefff84, 0xad209627,
+    0xb8efa3f9, 0x1d589c28, 0xa8a34d7c, 0x8685ecc6, 0xdc540930, 0x569df941, 0x358c2a08, 0x0de0a4ab,
+    0x5d35a07b, 0xdcb27bda, 0x5196d07a, 0xaac0ede7, 0x2d32eb3b, 0x34784d4e, 0xe0a2028a, 0x38d03326,
+    0x0a18e154, 0x0461581f, 0x0eed04d2, 0x091c45be, 0x0f5f5456, 0x36849a2e, 0xe27f96b1, 0x0b30fe95,
+    0x5f87ad51, 0xb41f8f97, 0xde21acad, 0x7b0962e1, 0xd54fb996, 0xc1b094e5, 0x70619848, 0x9455a18d,
+    0x7a34b3b1, 0xcaaf6439, 0x7f83bc66, 0x21a5367a, 0xa1e65382, 0x40b1317a, 0x35c5e953, 0xb8ac37ae,
+    0x37bd8239, 0xc31908f6, 0x3d42ae72, 0x59dc5afb, 0xc41c3724, 0xb884b0b1, 0x5e8e1f14, 0xa2fff0d5,
+    0xcf008eba, 0x89584126, 0x3e5529ca, 0x4a166ddc, 0x643b99f4, 0x2db785f1, 0x9fb187f9, 0xe792bf98,
+    0xbdc41028, 0x4af5e4f0, 0xa684bc5e, 0x6d61e0a6, 0xb73f0800, 0x095f4dac, 0x2c242c4a, 0x9dd47dc9,
+    0x8e44c699, 0xce1456c4, 0xd95ff87b, 0xbabfa01f, 0xd4d4134c, 0xe0920103, 0xea54994b, 0x74f26f8c,
+    0xdb601dd3, 0xddbe873f, 0x29219b7d, 0x7dfd4ee3, 0xfef7b313, 0xd0fcc1d0, 0xedee4da5, 0x6dc4cd93,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000075885\
+                          50360256754183279148073529370729071901715047420004889892225542594864082845696 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb,
+    0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa30, 0xf4c5f334,
+    0x00000000,
+    0xeaeb3af3, 0x94306e05, 0x70b3353b, 0xe33e19c2, 0xda729ac5, 0x51f76f12, 0x73b00481, 0x3f2971d0,
+    0x58312c55, 0x3a358b28, 0x2c3867bd, 0x368fcc39, 0x8c107042, 0x0fb4a206, 0x93679485, 0x55af13db,
+    0x4c2d912d, 0x5f4a521f, 0xaf2703ea, 0xb44ae336, 0x00d8cd08, 0x5e0248a4, 0xacdaa9e9, 0x0a7b07b6,
+    0xeba82275, 0x1b2f57bf, 0x939cdf8b, 0xf41ccf44, 0x8eeea271, 0xde6f7430, 0x6c7c78a9, 0xc6216881,
+    0xd6238f8b, 0x2df32a10, 0xce4e9d40, 0xcf18d584, 0xeeb03791, 0xcd3caa23, 0xb78450f5, 0x59e7a9bf,
+    0x9a2bccc4, 0xfb21226d, 0x54098cfa, 0x76f51bc0, 0xf91c034d, 0xff53372c, 0x5f3eb321, 0x83fd4653,
+    0xa6a01603, 0x09517fb3, 0x3bb5a8bd, 0x6ac7fab4, 0x1b1cf18f, 0xbcd981fd, 0xfcf7362e, 0x98c2428c,
+    0x80ae3099, 0xd9493ba5, 0xdaa17998, 0x576a3ae8, 0x026dec97, 0x26d1dfa7, 0xc050dc35, 0x1dd8aa39,
+    0x2d14742c, 0xa99f5cd8, 0x3d250c59, 0x861712b0, 0xd17628ab, 0xc671bf9a, 0xf4405df3, 0x4d067601,
+    0xf9e33217, 0xb2a0aa3d, 0xb0a07b0a, 0x1c38a6ae, 0x5ca2e466, 0xf7b18346, 0x634db48b, 0xdbcc5a5b,
+    0xbbf4444a, 0xddb95b6f, 0x32ee65a0, 0x61f67c83, 0xdbed73c2, 0x1eb8c6c7, 0x07fe4b76, 0x37884613,
+    0x937de829, 0x33618264, 0xf50b62f5, 0x9f29fb3a, 0x9fd893e9, 0xc72e7805, 0x2f141bdc, 0xa2a9a4b0,
+    0xbf4b6ce3, 0x0cfa6219, 0xd3e80416, 0xfbd5bbd4, 0xe869b3b6, 0x7477397d, 0xfa0ec48f, 0xa4e53499,
+    0x9c5bebae, 0xd0cbadbb, 0x2bef8d3a, 0x01aa6bef, 0x60e3b196, 0x0d768e18, 0x188cbc22, 0x4d9d30e1,
+    0x57e06864, 0xed95ec5e, 0x097d2af7, 0xeadb5c62, 0xb236e98b, 0x0b8cb787, 0xe9816af0, 0x40000f88,
+    0x12b4a846, 0xb5a4bc5f, 0x192f8024, 0xbef8812f, 0xb9590cba, 0x191c667c, 0x7cd08664, 0x064f2c7e,
+    0x81f36bbf, 0x241f0d51, 0xfa354124, 0x21452a5e, 0x13b85a2d, 0x591bab70, 0x492a77ba, 0x70277e55,
+    0xd7ecf78c, 0xb51596fa, 0x110b8e8c, 0x40a52605, 0x91d40143, 0xbcaef679, 0xbcc56b53, 0xc540b677,
+    0x5f7ee984, 0x0a2e9e74, 0x244c3872, 0xfbaf1349, 0x680317ed, 0x357910b1, 0x6ac6d75d, 0x21879ca4,
+    0xf0932947, 0xfa018a5b, 0xec78fb64, 0xc392963a, 0x0bbca049, 0x4022ba82, 0x0917d7aa, 0x7df4994a,
+    0x64fc69a4, 0xec456527, 0x33d3b323, 0x62f80c0f, 0xbcafee64, 0x277deb4a, 0x1e74c53b, 0xd4113313,
+    0x7526a60d, 0xa27953b0, 0x6426868f, 0xece28f5c, 0x89e06d30, 0x4632a74b, 0xd614c4b9, 0x67d9882f,
+    0xf6562e64, 0x853ea0ee, 0xf3acb28b, 0xb028e62b, 0x9b210c05, 0x547ec1ae, 0x9d9ff256, 0xf0db5790,
+    0xa1866979, 0x05dd24ee, 0xb6bca42f, 0xc0ce97db, 0x1c98467b, 0x86ac0212, 0xb67fccaf, 0xb1b7d3c1,
+    0xdbead873, 0x9209bdd3, 0x511fc08e, 0xba92ac82, 0xe01e83f4, 0xb68aa695, 0x26410201, 0xd0d9f0a4,
+    0xc503597e, 0x192b5b07, 0x48ec0557, 0x27309739, 0x018cb3c1, 0x16a9b8b7, 0xef4cb1c4, 0x087e8f2f,
+    0x01c4d913, 0x9c3a0cac, 0xde39e312, 0x59ff996f, 0x8b48d9d9, 0x7fcc3c4a, 0xa6712c59, 0x321cf365,
+    0xcd661886, 0x408d875d, 0x0aec7f06, 0x967e1a82, 0x902c8e98, 0x73cf36a9, 0xd7dbc671, 0x3ef07a2c,
+    0xbb97a659, 0x960ad46d, 0xb57a21bb, 0x4ac2fa08, 0x5960b3f4, 0x9b9e7f85, 0xd65825ed, 0x439de0c7,
+    0xd03fcd63, 0x961f32bb, 0x5ea7d909, 0x0634536f, 0x8bd61322, 0xc0b8d500, 0x061562bd, 0x26e33841,
+    0x393f335b, 0xa936e926, 0x36e0531f, 0xef6d2616, 0xb9b9a24d, 0x602424c5, 0xb25f7846, 0x612f7e0f,
+    0x7fd9cf7d, 0xb63e5a99, 0xa3bf97f4, 0xdb07eb7f, 0xdc8c0f8c, 0xaab0edd6, 0xf3f23b5c, 0x14ad95d9,
+    0x45f7c646, 0xc57e69cf, 0x26660026, 0x2670e68e, 0x1b28e382, 0x724caf98, 0x8c929331, 0x65af5525,
+    0x05317f0a, 0xd9f51358, 0x4db496a9, 0xea6c0449, 0xf3d8436a, 0x8c85b555, 0x4dfe7786, 0x3d427602,
+    0xd7ca736f, 0x53425698, 0xa2cf9359, 0xd87a8d49, 0x89b1c145, 0x74c6bf8b, 0xc1d3ba6e, 0x1639c310,
+    0x38d120c7, 0xd00d0448, 0xae689943, 0x4e8ab571, 0x743a2353, 0xdccb993b, 0xa7340c78, 0x0f1a5d85,
+    0xfd412f16, 0x90c53ab3, 0xa4af189b, 0x5bfd38a1, 0x94f97bf8, 0x60591b08, 0xc145c45b, 0x7ae8f5c1,
+    0x122f95f5, 0x98b87be3, 0x534efc21, 0x5f737df2, 0xf735cdbe, 0x911708d2, 0xe62c10b4, 0x66136ef3,
+    0xfe0fd1ca, 0xa5c3b195, 0x664cf290, 0xac0a366e, 0x0ea4774f, 0x00556548, 0x3f54bae6, 0xb9350979,
+    0x7f57dfee, 0x93f2f582, 0xbfdc18f1, 0x696fd77c, 0x66183e06, 0xc8c5cf6d, 0xeea73101, 0xaead507e,
+    0x2fef1458, 0xc734c256, 0xb8b0bc48, 0xef3ec306, 0x5e5b04b2, 0xcda4f891, 0x0826c200, 0x88616326,
+    0x909cca67, 0xb168db98, 0x36fd90ca, 0x0cf89e04, 0x0d3362f3, 0x9ef14f94, 0xf748c8e7, 0x7c49040f,
+    0x82f237d7, 0x8b412266, 0xbf5ac6f4, 0x6a8aabed, 0xfa66b7d6, 0x2c4c4b2c, 0x8215186c, 0xaf644cd5,
+    0xf63ecf60, 0x8306f9ba, 0x6a15680e, 0xd1f5f035, 0x21b31d1c, 0x656c75ba, 0x71909a0a, 0xdd24be27,
+    0x0886ba07, 0x3034b18c, 0x751b6026, 0x43951b67, 0xe546e13a, 0xb4e344a8, 0x7cc7a118, 0xa3311099,
+    0x6ae6ff7a, 0x9862f52e, 0xa06d8bf4, 0xa6fcc786, 0xe111f126, 0x0db3b07c, 0x9ea12c0b, 0x55688255,
+    0xbcb5781c, 0xd8ee407d, 0x905efff9, 0x17253c1a, 0x22ac2c7e, 0x98294518, 0x1171a24a, 0x64040f3c,
+    0x751e53ef, 0xa6ab00ac, 0x598907cd, 0xfcc39edd, 0xd25b1358, 0x3a22d780, 0x6c2c5c23, 0x27f08ac2,
+    0x5cb892a3, 0x179af269, 0x2fe7a25d, 0x2db1d9e2, 0x7454a987, 0x91cb0778, 0xe0704353, 0x0633c54b,
+    0x75c76051, 0x596339e2, 0x4a0ab0f1, 0xbe26a169, 0xb28410b1, 0x9278b101, 0xa67fd171, 0x86dec5da,
+    0xa2c467d2, 0xd260b7f1, 0xca71548d, 0xcce3c0bd, 0x6fa8bfa9, 0xfdca17a7, 0xee8ba24e, 0xe2179be2,
+    0x7ebabb69, 0x0013d811, 0xb7a571a6, 0x3f8f9212, 0xa923340c, 0xe9caf8c2, 0x55f618bd, 0x4d6f350c,
+    0xafe6e43f, 0x9c25ffda, 0xe6263a94, 0xf578c89a, 0xb53fcb58, 0x07f371b5, 0x6cd168ea, 0x4a0bea29,
+    0x1b4cd416, 0xcb8260a5, 0xc575d8bb, 0x710b9a02, 0x65a27196, 0x72895ce8, 0x903b0f57, 0xf59a7753,
+    0xc6c71004, 0x5a01ad1f, 0x0592888c, 0xce12228c, 0x53dc9802, 0x37b953b8, 0x68d6086b, 0x4e670464,
+    0xc1f148fb, 0x723f201b, 0x72533adf, 0xb4391410, 0x4cb569cf, 0xadec04a9, 0x5297e8ea, 0xfce32ac5,
+    0xe7b2618a, 0x3984b1b9, 0xe0e696cb, 0xb7e126dd, 0x3c0039ea, 0x4227996b, 0xdd854049, 0x600731f3,
+    0xef30bf09, 0xda221bce, 0x8453aa85, 0x5a5a0caa, 0xba5d3973, 0xff460f58, 0x7e10781b, 0xd6752dbf,
+    0x60aee872, 0x0ca8c463, 0x7520ae74, 0x6223f481, 0xbe4d7fdb, 0x3117d007, 0x5bdc5787, 0xdb826175,
+    0x4d6752fd, 0x8325796d, 0x11645ab0, 0xf392185d, 0x8c8cda21, 0x30efc49e, 0x31f625b8, 0xf0c3beee,
+    0x2feaafc6, 0x42da3561, 0x7b9adf9f, 0x76525486, 0x12326a38, 0x557ad8db, 0x26d9c6e1, 0x1a049381,
+    0xc5019fe7, 0xa9f09049, 0x56a92ec8, 0xc08e86fe, 0xe97ca790, 0xb86b34b8, 0x30984db6, 0x9da11227,
+    0xd4226343, 0xe4c6d826, 0x9f4ebeb5, 0xc5fb25b6, 0x9a69f428, 0x21f51f46, 0xe7ecc8c7, 0x533aafee,
+    0x8188844e, 0x27af1c18, 0x924e743c, 0x70126b08, 0x6aca715d, 0x14d5d0c4, 0x97a8f968, 0x348a5c6d,
+    0x47e88d6c, 0xebabfaef, 0xf2fb2699, 0x9db7761c, 0x73eb75db, 0xa300d3d1, 0xc54c464b, 0xcbe0e9cf,
+    0x6d98a36f, 0x031531fb, 0x4cc71d8c, 0x25b11d25, 0x2dff1a5d, 0x4539e57a, 0xb746b395, 0x78a63d03,
+    0x7fb4f197, 0x60f5d9c8, 0x41936f93, 0xf93172b5, 0x7c48cda9, 0x9a0deb45, 0x695d4a2e, 0x8f9f26b6,
+    0x75d56d92, 0x4f17f899, 0xf135ae25, 0x18a7da7f, 0xf8dc819b, 0xc7b9dc64, 0x767b39de, 0x96b01bf0,
+    0xb1b80478, 0x86933d9d, 0xd819e9c5, 0x1f397d30, 0xee94cbae, 0xf59fd31f, 0xdb8b98db, 0x2fac3554,
+    0x55d69204, 0x6db9fd98, 0x9c026650, 0xf13969b4, 0xbe6c6d24, 0x560eb760, 0x79953637, 0x8088e971,
+    0xa71cd4c0, 0x80ddd4cf, 0x521ac4bf, 0x88bd0b43, 0x7faba823, 0x346ea67a, 0xbe2617a9, 0x09b4fc22,
+    0x0ba42fa0, 0xa9c96245, 0xba7e393e, 0xe5923909, 0xdd640c7c, 0x0eaec5d1, 0x4bb5287c, 0x7301c205,
+    0x156ff25f, 0x019484ab, 0xcbb80a5e, 0xd1cc8372, 0xecf688bc, 0x8eb2e2c2, 0xb08bd264, 0xa4ce0478,
+    0xc4710dfe, 0xe4a82db7, 0xd8938fa3, 0x1e201f88, 0xe35a74dc, 0xdc75fb84, 0xa04ac874, 0x8dd20e4d,
+    0x47d2365b, 0x4617d024, 0xaa51ddbb, 0xd03553a7, 0x576ccc42, 0xb68707b0, 0xd8e1a994, 0x9898292e,
+    0x81281502, 0xdc4881dd, 0xc72e6262, 0x4fbfd81f, 0x62be7e4d, 0x4586d2d9, 0x5494f64c, 0xc41813ee,
+    0x955d3083, 0x4c672261, 0x18fcbe4e, 0x17eeb280, 0xbc773311, 0xfb2e9bcd, 0x8f993eab, 0x1a7c2ab2,
+    0xcbbb7fc5, 0xa233c82d, 0x17e34c25, 0x926d6263, 0x804e49dc, 0xef3b671f, 0x9cece299, 0x45240f03,
+    0x6fb54a6b, 0x56674f24, 0xc5552152, 0xa99e3189, 0x7a9d7943, 0x03e71499, 0x83528b3d, 0x28169a3c,
+    0xfd38c608, 0x3776fdc1, 0x2b9fae3e, 0xc3df4236, 0x4666c667, 0x22e9b8ef, 0x9ffe1e83, 0xeff07e67,
+    0xcaf8ac4e, 0x042629f4, 0x8eefca34, 0xc33dbf25, 0x53f13f03, 0x3718ab25, 0xe9f5f2cc, 0x88fea24d,
+    0x93942afc, 0x69f096ca, 0x0d34b8bf, 0xaf9d8e8d, 0x67f55dad, 0x387a1caa, 0x97a6de3a, 0xd62245d0,
+    0x5883c8c1, 0x5a6625f3, 0xbaad9368, 0xc4ae4693, 0x2abbcda8, 0xe71f9d4f, 0xcb6f74a8, 0x8f8b40d9,
+    0x841493b2, 0x2a0323f7, 0xf6e483fc, 0xb5f94a7e, 0x6d5e6494, 0xef6a002a, 0x89581432, 0xe15e3cfd,
+    0x41674816, 0xfec529a9, 0xf492d2a0, 0x78cfd71f, 0x80080312, 0xb3d63bec, 0xd391effc, 0x99899376,
+    0xa126d3f8, 0x26a9f455, 0xec0187e8, 0x8202cd45, 0x611030fa, 0x02b68de2, 0x75f0e256, 0x78b85a35,
+    0xed733424, 0xfc1ea593, 0x2e5bb376, 0x3af3bddb, 0xad674355, 0x745e339e, 0x6dd649ea, 0x72ff46c3,
+    0x670f0633, 0x4e0f3664, 0x272370d5, 0x91c6be50, 0xd8efa43f, 0x94337e7c, 0x40eca404, 0xb92bb1db,
+    0x92c249e3, 0xcf1bc066, 0x84107550, 0x1ba1d611, 0x1e291cb6, 0x4c082047, 0x8aed47ba, 0x02e65453,
+    0x9be14ed0, 0xe7ae9715, 0x438a1e53, 0xb38df53e, 0x236d62dd, 0x7729f7a2, 0x857ebd3b, 0xd811cf02,
+    0x523e7ba4, 0x501c0677, 0xd6a3d772, 0x611df8c8, 0xddae4f6e, 0x4cef9e85, 0xcc1c3fca, 0xd3deaa3d,
+    0xa52d55f3, 0x7d655531, 0x26427639, 0x8a1a6896, 0xc5a1f10b, 0xcc85ce33, 0x8a9a61e4, 0x6ce1e1cb,
+    0x46fbeff4, 0x0c21a230, 0xe56ce7e2, 0xbc6fcbe8, 0xfc968bd5, 0x79c2b576, 0x46668698, 0xb96a0aed,
+    0xc36b6886, 0x3a6eb4b0, 0x627fcc78, 0x765a9fe1, 0x70253458, 0xf81cf838, 0x92a1c20b, 0x20266161,
+    0xfa4f3581, 0x29e6f5f4, 0xcc19422f, 0xfb1eb812, 0x60c835ff, 0xe236835b, 0xa7579f06, 0x7e0e297e,
+    0x900266fb, 0xfe70a4da, 0x8fd445ba, 0xde0a378d, 0xcbfb41fb, 0x846df9a0, 0xf6336f72, 0xd6045f9c,
+    0xa6d6d566, 0xea6759a8, 0xec6cdf1a, 0x10e6047b, 0xb1f955b0, 0x0c87ed4b, 0x561b0c03, 0x49d6630f,
+    0x465e62cc, 0x66b40b0b, 0x55ad6190, 0x3729fa9d, 0x0a8b8e88, 0x9d54d1e0, 0xd816f88e, 0xffa482e2,
+    0x9bc6ff25, 0x9790e15c, 0x98e24672, 0x07703d8f, 0x5eaee126, 0x8566aaa5, 0x480d1f6e, 0xa67a75ad,
+    0x68ef13ec, 0x2f813f01, 0xba35233b, 0x07d2b5c4, 0x52167140, 0x3e97019c, 0xe942abc4, 0xf0d676ad,
+    0xfac71124, 0x444356be, 0xa7ee4311, 0x8b497bbc, 0x2ca7fef6, 0xd1757c76, 0x22c5f623, 0x882984b6,
+    0x1cb22a46, 0x2dabc353, 0x2de9732c, 0xb5496f0e, 0x41d5dee8, 0x58a67c69, 0xfa99a386, 0xc787afc0,
+    0x07db43f8, 0x8bdb184c, 0xa031c85b, 0xa4f08316, 0x72e09272, 0x875e8253, 0xba351cec, 0xc31ba9c2,
+    0x373999e0, 0x2e325025, 0xf6658d46, 0xd29ecde6, 0x430e6e14, 0xf4548ec8, 0xc01b1b54, 0x306ae941,
+    0xbd497ac1, 0xa7882e38, 0x8cf20330, 0xbea4411d, 0x8845a939, 0x64738e72, 0x3fb00a23, 0x61400154,
+    0xbea16c1e, 0xab556d90, 0xdabbe342, 0xf52ed10f, 0xd4b03e37, 0x5e1368c8, 0xefbda182, 0x66a2e58e,
+    0x279b3766, 0x672cfa33, 0xc0b2ab03, 0x9aeb112c, 0xd1cf9a97, 0x884f8aad, 0xf635f098, 0x54e481ea,
+    0x04b60805, 0x1a32ad62, 0xafac3d90, 0x53585d0a, 0x37403540, 0xae3cc2bb, 0x80307752, 0xe64c05f0,
+    0x04b8019a, 0x3bba3d05, 0x81eae290, 0x06a61eb3, 0xea80ba25, 0x6b69f759, 0xa4ac95bf, 0x68eca390,
+    0xa886bc7d, 0x97cd23a0, 0x9ceebfab, 0xd84a7f86, 0x2a5a515b, 0x0c5bb532, 0xfe9c8cdc, 0xf314b732,
+    0x815d66f3, 0x63946610, 0x72d94feb, 0xc5895301, 0xab5462b4, 0xa1b710f2, 0xd0da38e6, 0x86df8553,
+    0x9e65c1a3, 0x3e77193f, 0xee737642, 0xa8e4f1ac, 0x1919e234, 0xb5f0488b, 0xa0252fb8, 0x4d10fac3,
+    0x62c478d9, 0xd3423469, 0x7dede7b1, 0x13d53067, 0xa40ae2fb, 0xea584a56, 0x48a34b9a, 0x3a8b3a71,
+    0x3db4bb81, 0xee04c8c1, 0x7ae3ff0e, 0xea953017, 0x0ce98986, 0x7b5ce3b4, 0xef3c515e, 0x75c6658c,
+    0x34cf30fc, 0x89fc4971, 0x56c99915, 0x91e5fb35, 0x64059dba, 0x5cec3609, 0x37ab6587, 0x2290591d,
+    0x6ed6b96c, 0x2a1f7ef9, 0x51be6af0, 0x74db46cf, 0x9998dadf, 0x280656ea, 0x12d40f34, 0x938b9a94,
+    0x5e2d6911, 0xa9ac3588, 0x226eec30, 0x4e4c65f4, 0x60ece9d5, 0x19c785c6, 0xc42ee082, 0x4448f606,
+    0x49d0fa86, 0xe9fa7706, 0x06959720, 0x296d0250, 0x753c2b69, 0xea23a19a, 0x8c6a3e51, 0xbb838c05,
+    0x4c823aff, 0x2060edbf, 0x0bbe292c, 0x24856d99, 0xd78af899, 0x95e9716a, 0x5966d008, 0x960d3c61,
+    0x4216a71d, 0x28ac81bd, 0x1f6cfa6f, 0xdf2a5397, 0xd0fa0ec5, 0xc3c2c5e7, 0x0113b2f8, 0x351900cd,
+    0xee5f8d6b, 0xd63e2ef6, 0x02f57d21, 0x0ba12120, 0x61034f90, 0x30e4517f, 0x09833c2f, 0x681468ba,
+    0x33a9b4d8, 0x6f83a7ca, 0x38a672ae, 0xc6ce0eb1, 0xa93ddcf1, 0x35740dd6, 0x4b19b5e6, 0x984180c3,
+    0x93e28611, 0x5662c610, 0x5ee9300f, 0x65eeda01, 0x9b2b7562, 0x3ac79616, 0x10bdc94b, 0x39583b13,
+    0xd525a1ff, 0xca7eacd1, 0x5156f4a2, 0x1bfb1608, 0xa68b7cd1, 0xcad89546, 0x2c10b02c, 0x3bad3203,
+    0xdc024caf, 0xa53482ee, 0x6439ff5c, 0x76b29151, 0x4f068301, 0x7ceed67d, 0xd19b4f21, 0xc93a453f,
+    0xdf6985a8, 0x7f132f84, 0x44b45f1e, 0xd18e1606, 0xf93698f1, 0x75a35112, 0x2b07b095, 0x92116f4b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000037942\
+                          75180128377091639574036764685364535950857523710002444946112771297432041422848 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65,
+    0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d18, 0x7a62f999,
+    0x00000000,
+    0xf53ba6b0, 0x3bc77f11, 0xb58a12b0, 0x6520b0c9, 0x1dcf38fe, 0x137dfe3f, 0x35b2d8cb, 0x655b75e6,
+    0x795c67ef, 0x86c47802, 0xde81cc35, 0x510165cb, 0x9e2b06ff, 0x5945cc3c, 0xfd151291, 0x27a3ec7c,
+    0x21e23591, 0x0ddd641c, 0x79faf6b3, 0x684a3a6b, 0x4e8afad9, 0x73680a97, 0xf108023a, 0x4433ab67,
+    0xf25444f7, 0xa38fe54c, 0x37815b37, 0x5f288589, 0xb91d005b, 0x0d0c70bd, 0xf2e5adb8, 0x245bc8f5,
+    0xc5f08e25, 0x17adbd56, 0xb0366897, 0xb3d55795, 0xa121c717, 0x66811f13, 0xfbd00d9b, 0x5bd25db2,
+    0x378c3f6c, 0x2731ec08, 0x8584e0d0, 0x8877d4e1, 0xa56e9d84, 0x8b780b2e, 0xc0a167c1, 0x3aefb9df,
+    0xdc3426a4, 0x059ff531, 0x3ec42a80, 0xd092b498, 0x3bfe1d24, 0x616f040a, 0x3d156641, 0x10a475c3,
+    0x53197cfe, 0xbde41ba4, 0x09d2dd51, 0x11bd7d60, 0xfb79142c, 0xb130c7d3, 0x7cf466cb, 0x389d4d00,
+    0x5ff77c03, 0x752f3837, 0x3d0a72c6, 0x6ebb3512, 0xda642802, 0x2ee339d3, 0x4ac94e2d, 0xd5cd1dac,
+    0x695bfe77, 0x4c1c435c, 0xd486a0c1, 0xc01031f9, 0x3ee9b557, 0x78e06a16, 0x58c7385c, 0x5b89416a,
+    0x94da1e59, 0xef19d4d3, 0x427f959b, 0xd1a1fb99, 0xf100bc31, 0x4f400049, 0x3f235810, 0x70441a57,
+    0xe8aeb692, 0x4833aa69, 0x35dc2344, 0x906993b6, 0xbe04ecd9, 0xc1afa5e1, 0x1b0709fc, 0x8a207106,
+    0xdf327c12, 0x59af24b9, 0x9fe64243, 0x982246bc, 0x91c1d428, 0x3fd90a44, 0x336690d5, 0xd04e764e,
+    0x4e5ac61c, 0xbcb45d9c, 0xe6421d71, 0xe3a9fb9a, 0xdb97cd8a, 0x561f1147, 0x9b3d1bb7, 0xa3a9ea13,
+    0x6d4298eb, 0xf583e4da, 0xac33904e, 0xbe5ce93a, 0x9a05b7b4, 0x7073ee00, 0x8bb0a6a7, 0xd9b84f27,
+    0xbf42e921, 0x8dd36b4b, 0xfbfc062e, 0xb2c793d6, 0xb2cb2a1c, 0x284726ce, 0xa174bafe, 0x793abb1f,
+    0xf94306bb, 0x24e1efe2, 0x87b132ad, 0x73dc95d2, 0x01c32664, 0xc2b9b3e1, 0x3e5262cb, 0x6fd1dd6f,
+    0x3a0e190f, 0x74f79055, 0xeb56317e, 0xb88aa4d0, 0x62697d30, 0xefdb9152, 0x646557e6, 0x3c7c31cd,
+    0xdb05fee3, 0xde0681e0, 0x340813da, 0x721539ab, 0xf0664f6a, 0x0755df0b, 0xe5a185a0, 0x83668b16,
+    0x9447f015, 0xd7a92158, 0x7099c244, 0x2f308459, 0xd6e92424, 0x8443c683, 0x1d4b7118, 0xa1687ec1,
+    0x283f71fe, 0xd105cf6f, 0x91b26f0d, 0x20984244, 0xe7066ebd, 0xbc552b21, 0x4d441d0c, 0xf8725a09,
+    0x165526a5, 0xbba3f22c, 0x6e211852, 0x030107bd, 0xe3b09bc0, 0x0c3a8734, 0xe03a5a1b, 0x31570e5d,
+    0x98cddcff, 0xece51c45, 0x748b71b0, 0x6af2077a, 0xd1d1c8fd, 0xcb895ea4, 0x2e728810, 0xdeb0dcb5,
+    0xcaf5637f, 0xf5cbbbc9, 0x9e951c96, 0x7c4df069, 0xb8efc38d, 0x4de5249f, 0x42b9271c, 0xd002daa4,
+    0x9bb580c5, 0x3d3e8900, 0x9c13c761, 0x42e69c89, 0x0ba1a04f, 0x2281d941, 0xdafe17cd, 0x90f2edd0,
+    0x43d9839f, 0x75d3ae07, 0x7aaaf61f, 0xd0ec2add, 0x1a469b68, 0x06d6487e, 0x4ed39785, 0x0feccb97,
+    0x285d3606, 0xa7875d66, 0xd2314bd4, 0x107aa2fd, 0xfefcc7e3, 0x84b09529, 0xb82f6d51, 0x6f26d78d,
+    0x6b9f0c04, 0x8f340032, 0xbf7bb97c, 0x193a32e6, 0x9d9be812, 0xf0115ac1, 0x5d05719a, 0x3cf74505,
+    0x52a7068e, 0x81bc50ba, 0xe64ed22d, 0xb94bbfca, 0x699b3576, 0x9ee7c8a8, 0xd67a85b9, 0x4c5c14c7,
+    0x8dc0bba6, 0xc160704f, 0x68419e1f, 0xaec1c3c4, 0x14c72a19, 0xd9a3d875, 0x04ba16c5, 0x8ded0a82,
+    0x79089b95, 0x125d01b1, 0x6f095962, 0xf34b7de9, 0x14dece3e, 0x908dec44, 0xad977861, 0x3df441e5,
+    0xf70c77e5, 0xcc975cbd, 0x565f9f51, 0xd4a81f63, 0xac1998dc, 0xf4e7b674, 0xcdbf0b24, 0xfa90a4e2,
+    0x8e97624f, 0x943b8e3c, 0x7d5b3f64, 0x9681a57f, 0x94dfc9d7, 0x4c507e35, 0x49f2105f, 0xde18a980,
+    0xc0345b4b, 0xd360e5f9, 0xbb67a535, 0x369874c8, 0xbc7bb6e5, 0x58ee642c, 0xbacdf762, 0x38754ebd,
+    0x7bd2f481, 0x6de42e54, 0x4734534e, 0xdf5c6b17, 0x942456af, 0xdfcf1ce1, 0x0ef3314e, 0x33624f30,
+    0xb0135044, 0xbbebb737, 0x748850f9, 0xc3b02f32, 0x222b15ed, 0xf628fcb7, 0x8fc1b930, 0x59778fe4,
+    0x24c13fd4, 0xbb30653a, 0x4b61788d, 0x8352f905, 0xe5a7cfc2, 0xe6e448d1, 0x1cafc623, 0x8a35679f,
+    0xeda8831b, 0x955ef8dd, 0xe851fd6a, 0xab965785, 0xecbda396, 0x2f212b12, 0x5019aa9b, 0x50a11b57,
+    0x1da7c51f, 0x93c8d7c7, 0xed5de189, 0x634ed7f3, 0x55337aa7, 0x3ca08dfa, 0x338d8928, 0xda2e2229,
+    0x1d79d648, 0x98cf11a3, 0xbeac64c7, 0xb1abb766, 0x3e5a45dd, 0x3554d7e3, 0x6301497a, 0x485848ef,
+    0x61fd700f, 0x1a9bd72f, 0x761a5517, 0xcc27d358, 0xdcd5c436, 0xd80ccf8f, 0xfb6de560, 0x35914525,
+    0xd39962ee, 0xa3e2fba5, 0x14b3ca6d, 0xe5f06e8f, 0xf03e6c43, 0xbbbe4b80, 0xe1197ec7, 0x24b84a5b,
+    0xf634e27c, 0xe8876b51, 0xfe2bb98a, 0xbc3e63bb, 0xaf7ea88d, 0xa4ff5d7d, 0x7a535390, 0xb452bd93,
+    0x6e159a90, 0x8132ae46, 0x98951132, 0x7896c63c, 0x8f075fdd, 0xd3d46ccb, 0x48b61014, 0xaea9d42a,
+    0x1a3e8137, 0xa40246bb, 0x66916abc, 0x51e88c63, 0xd17e84a2, 0xe7ef7368, 0x03e26980, 0x621de1fe,
+    0x7f1357e7, 0xd4a2a77a, 0x91b916c6, 0x957cc357, 0x859fce29, 0x35e9cfd3, 0xe5d7b5bb, 0x214a243b,
+    0xa58924a6, 0x02c12f59, 0xf30afcbb, 0xa6c929c4, 0xf698f228, 0x25b0a9e6, 0x5aca3faf, 0x847f697c,
+    0x7e73d646, 0xd857c16a, 0xbb6e4aa7, 0xbf524c7c, 0x23c8b1f1, 0x16786f00, 0x01c0c598, 0xdee05a07,
+    0xbbe5c407, 0x203145ca, 0x79dfe111, 0xc813e82f, 0x17a9bd37, 0x2958e74f, 0xc40ce2af, 0x54ffae40,
+    0x04c533a1, 0x3156b0a1, 0xfa4a59ac, 0x16620d32, 0x247a069e, 0x53667fc1, 0xd3c30e16, 0x6c38ddfa,
+    0xa687095c, 0x139848e8, 0x5b3db094, 0x663421ec, 0x857791bc, 0xbb0dcc7e, 0x64cbde30, 0xc22f8635,
+    0xd1f50cf4, 0xdece19a5, 0x69c54b42, 0xec030805, 0xc137f0be, 0x0d658fa8, 0x2c6cc37f, 0x69bfafea,
+    0xa43f764e, 0x03fcda0f, 0xc52883c9, 0xc6cc7690, 0xcea95f41, 0x1defe242, 0xfb6d67b6, 0x6ed62030,
+    0x000ef92a, 0x654cd94a, 0xf296e729, 0x309e5c98, 0xb9463922, 0x5e8dc709, 0xe66b03cf, 0x5ec8d28a,
+    0x5ce1aec1, 0x6564f0c4, 0x8820ae17, 0x57be3049, 0xcb745393, 0x810e5f0b, 0x1a2c86b4, 0x057b22a9,
+    0xfc2da9ea, 0x9174b15c, 0x9b0374ff, 0x4838d2a7, 0x1dca7154, 0xcfe5982f, 0x5cba9ffc, 0xe0101739,
+    0xb0792320, 0x333af01d, 0x4edeb207, 0xc45c3785, 0x1bb2be2b, 0xc768646c, 0xf09599cc, 0x3630c50e,
+    0xb819199d, 0xbeae6839, 0x3a21ae38, 0xf2a4de5c, 0x1b75abcd, 0xaf628bdb, 0x6be7c88b, 0x4e346a99,
+    0xbca5ee65, 0x7c6c41b1, 0xd230db8d, 0x82335e48, 0x4ad3cfad, 0x1d51e4e9, 0xc65ae844, 0xe516e6a1,
+    0x4b95ab89, 0xc6be4e97, 0xa310b240, 0x7690e7eb, 0xca702eb8, 0xecef25c9, 0x32c870c8, 0x99d9ab03,
+    0x7f0ad32a, 0x972071ef, 0xc8fea645, 0x39b11e78, 0xa919ca78, 0x2fa0f302, 0xc4f66c4f, 0x5cf38e5c,
+    0x8c7548a5, 0xf009bd6a, 0xc8fdbc35, 0xd2856153, 0x5a14073c, 0x84cbddfa, 0xaf4cd7d9, 0xb5f0bca3,
+    0x81c24f26, 0x9b6de8f7, 0x565aa440, 0x9ec5bbe4, 0x0378dce3, 0x6066c4a1, 0x483bf321, 0xf728ebf1,
+    0x23a8a345, 0xfff85b3d, 0xef41281c, 0xcba2d944, 0xee857786, 0x10feadef, 0x888216cb, 0xfa1e30b6,
+    0xf85936e4, 0xaca69396, 0x18470d37, 0x10f4d638, 0x9e562e74, 0xf62e50d1, 0x844243bc, 0x9850ce2c,
+    0x1d461134, 0x1bd4cae6, 0x0fb0b420, 0xc3643007, 0x895539d8, 0x2f89a97f, 0x0af34ff4, 0xd7e425f0,
+    0xe13c7615, 0xa4c64f1f, 0x831fd7c9, 0xd60c62f8, 0x7713a2b0, 0x43d5e2eb, 0x9e9b4d2e, 0x3272a15c,
+    0xf12a0857, 0xae5de0ce, 0x35e263d8, 0x3ba6e587, 0xb2e242fe, 0xace8b344, 0xa10614c9, 0x8b4b1e3a,
+    0x68aa73b8, 0xdff48855, 0xedb2bcd2, 0x82775aec, 0x9b91ec30, 0x3501e837, 0x87cdf5f4, 0x8039eb64,
+    0xfa664f97, 0x2ecb63dd, 0x2741c1ef, 0xa55e2b86, 0xd6345479, 0x1b2a0c62, 0x81ff2f54, 0xe52480f9,
+    0xd487b562, 0x8a8331ae, 0x57c1a1f9, 0xf5dedf3c, 0x47d8be60, 0x702e13fa, 0x4a9bac1b, 0x393034e0,
+    0xacfbb961, 0x757d28cd, 0x6935fa13, 0x4e249a6c, 0xe0ecfe0b, 0x89b5038e, 0xb8269b20, 0xff7dfde4,
+    0x5f326bec, 0x4cf63953, 0x2937bfeb, 0x59c90623, 0x01a87415, 0xcf79e8b6, 0xd430fa66, 0xe4d7f6ac,
+    0xe29d35df, 0x830265ed, 0x042ccf44, 0x2e166417, 0x3df0a55c, 0xfa793c9e, 0x9ae8e088, 0x0a78cafb,
+    0xb4e2d3da, 0x52b1855b, 0x9ed46633, 0x11dcbcf9, 0xbff37b12, 0xf0e96ba0, 0xda87394f, 0x581e288b,
+    0xeddbf5d1, 0x85782e92, 0x6d4055dc, 0xc3e03a57, 0xb9945eca, 0xdc0424fc, 0xafaca621, 0x7e7f6224,
+    0x97dc6621, 0x9c01760b, 0x3f596d53, 0x4001b7ba, 0xe0fbe297, 0xb2a3a628, 0x9a63e248, 0x06b2f2d1,
+    0x9b33fa5d, 0x7ff7d99f, 0xfaedd5dd, 0x7524fee6, 0x5590236b, 0x19c9ba8d, 0x692c13cd, 0x8dc3845b,
+    0xbe77207e, 0xaac78576, 0xff2d2d53, 0x2f27bc75, 0x6bd535d1, 0x74352272, 0xc3603fe2, 0x2dc8c265,
+    0x488cb8f6, 0x0c44e0a8, 0xd553f796, 0x9fe4724e, 0x193e25c0, 0xb5b8e8e0, 0x12214bff, 0x20df2a8c,
+    0x03deb020, 0x02eda117, 0xbdb3ec67, 0xa77f9340, 0xb8483f1a, 0x024e6f51, 0xc661bdb1, 0x9e4008c2,
+    0xb4724c0e, 0x07654ecf, 0x20b89459, 0xaca32219, 0x6dc441d3, 0x5cd829e4, 0x0f86fea7, 0x50a10b0a,
+    0x8053b537, 0x2e3304ad, 0xeddf6ca8, 0x3dc4908c, 0x5d3fe36f, 0x61a332a3, 0x56f7597a, 0x9dcfe196,
+    0x06a49bcb, 0x6b5b0bf2, 0x8d09f032, 0xb38c6311, 0xcf7029e9, 0x96663fff, 0xc925a9fa, 0x46fb060c,
+    0xac0e8e30, 0x82cf8706, 0x310c6b54, 0x110b455d, 0xf587f9a8, 0x1ccb3812, 0x800e1b94, 0xdc434364,
+    0xce5c9221, 0x26f3f28a, 0xcd71365d, 0x7249419e, 0x7d65dcfa, 0xb50d5d11, 0xbbdda2e6, 0x909766d5,
+    0x4f1d18c3, 0xe930ca4a, 0x7e17595f, 0xb2c76666, 0x6575d943, 0xa438caee, 0x501c10e7, 0x0295dda6,
+    0x41254eba, 0xbc06a08e, 0xf8eaf8cb, 0xc9194fb5, 0xf78876a2, 0x7e68d3c7, 0xd94daf36, 0x30b57b90,
+    0xbd9cd873, 0x833418ba, 0x21d5368e, 0x5739eff9, 0xdc29697c, 0xde03b89b, 0x0a1ad165, 0x4e9a428a,
+    0xbe9d76d2, 0x4e721a5d, 0x60daf1dd, 0x3dcee179, 0x37e990b0, 0x1bcf6c19, 0x8b22d938, 0x004fd20f,
+    0xb64544d5, 0x11af3617, 0xbddc7ba6, 0x8f260817, 0xe39d907a, 0xf5f74aa7, 0x9df26331, 0xf2bb6e1e,
+    0x51f0c964, 0x9ff6bb54, 0x059e6c5a, 0xdb88bf8f, 0xf2df4281, 0x07b3a05f, 0x1e7a3a0d, 0xfeb3dec3,
+    0x15e151c7, 0x7450bee6, 0xe78ab1ed, 0x7dcf45e2, 0x8a1648bf, 0x1b2bdd5b, 0x1aeae6f3, 0xd40c24c9,
+    0x257f3508, 0x75e073d8, 0xe5aadb1e, 0x482155e8, 0x9c0e2d3b, 0x27e9bdc2, 0x7f5c0ef7, 0xe2bc36fa,
+    0x2dc07940, 0xfbe99fa6, 0x152f5387, 0x8250ad4b, 0x2c2860dd, 0x8a722b05, 0xd71fe61a, 0x9b1ecc1e,
+    0xcc372036, 0x6396fb42, 0xc6ab06e9, 0x75a4e96c, 0x9320ea2e, 0x6adaa1b7, 0x33e0d26e, 0xc0e9fc6f,
+    0x3d9a4676, 0xbb430ffa, 0xdbfbbc01, 0x9ed2ea0b, 0x6f91da73, 0xc4d4e2fd, 0x9434f3df, 0x2985c44f,
+    0x147cc91f, 0x56736c8f, 0xaf9fc9cf, 0x66aa9900, 0x9945ca7c, 0xa9161648, 0x8c183dec, 0x227fac22,
+    0xa372920e, 0x7cde0f7d, 0x32fddfd2, 0x6b4fdec1, 0x6ce664fe, 0x23352336, 0x4b2b4dcc, 0x7fe94dd3,
+    0x97cd4e04, 0x52095285, 0x5a0251dc, 0x36d99ef0, 0x99f94166, 0x7b6eecf4, 0xe0a03ced, 0x6678f761,
+    0x8138c1eb, 0xcc7ef61f, 0x4372d317, 0x2e6ef031, 0xd06c011e, 0xfad3dea4, 0xb73eae42, 0x0dd1ec92,
+    0x1684ddf7, 0x690f753c, 0x744e9c7d, 0xae97cb38, 0x394a1887, 0x1876bc0f, 0xa0fdfa67, 0x9a02c721,
+    0x05afd983, 0x0b2875da, 0xdfa71945, 0x5a3575f6, 0x766830d5, 0xbfc58bcb, 0xb6b33402, 0x1eb25353,
+    0x925fbbf5, 0x578ba117, 0xc80524bc, 0x7888c9ec, 0xc9afc1b9, 0x53bf9193, 0xc48764d2, 0x7d6242fd,
+    0xa451431b, 0xef092b2a, 0xd3d6ebbb, 0xee08c9f8, 0x645ca360, 0xd851bc0e, 0x0bb83dd0, 0xc534000d,
+    0xed11879f, 0x01fddff6, 0x10b63c0a, 0x28be342d, 0x17d97369, 0x3aae77c4, 0xd7ee1b98, 0x7f41e3c5,
+    0xadbb614e, 0x3fccd190, 0x618d1b4a, 0x59f955af, 0xf0270a0a, 0xbd346a65, 0xcdff03fc, 0x533f6699,
+    0x11d9ebd3, 0x86cb3a49, 0x404db89f, 0x5ef8155e, 0x27a5266d, 0x0a37d3b0, 0x90afa49f, 0xd04c7055,
+    0x3fbad614, 0xd2780887, 0xccc3e3d6, 0xa244ede5, 0x22bfce93, 0x322ae0c5, 0xdfcf5088, 0x23e1b8d7,
+    0xc7eb992c, 0x8b0bde74, 0xb3de0d3e, 0xaf02aba6, 0xdae68621, 0xe06b5fc4, 0x20dfe0f7, 0xc02ea1a2,
+    0x3910039a, 0xd445197c, 0x418f04f4, 0xc8589545, 0xa35ed6b1, 0xec462aa0, 0xa8a035ef, 0x75b68c93,
+    0xe2f1b32c, 0x34608209, 0x33515050, 0x55a72e86, 0x22114b3d, 0xfcecf483, 0xa6ce346b, 0xc59aacd5,
+    0x2860804b, 0x9c3b8b36, 0x567c6e29, 0x090d1ba3, 0xf98ac508, 0xa0c725f1, 0xbf1ced3a, 0x961a359f,
+    0xa7f27c81, 0x2aee335c, 0x060296f6, 0xce6557c9, 0xe7489162, 0xc5f7b5d0, 0x62ef7b85, 0x31c6b282,
+    0x92c491de, 0x4db0a3a3, 0xea2ea1c2, 0x7f8fa585, 0xb54a7678, 0x79e698b2, 0xefe837f9, 0x3aa25e67,
+    0x9643254f, 0x795a159c, 0x4e749e4e, 0x89265c5f, 0x83b828a1, 0x5e1dd17f, 0x15548295, 0x341f06fb,
+    0x0b220ee2, 0xf63c64e2, 0x7b5811ca, 0x2ff7f715, 0x25506335, 0x601e49a3, 0x2f308a0c, 0x610fd30f,
+    0x73eaf0a6, 0xf15ba387, 0x5f6a02e3, 0x1a2a9645, 0xa32a21b5, 0xb4f777f0, 0x77214ad6, 0x0776dc4b,
+    0x680af5b1, 0x659441f0, 0xf73c404d, 0x08385ac1, 0x54060621, 0x283adc6e, 0x74b9f9aa, 0xfddd84a5,
+    0xd9c67892, 0x5ada646f, 0xbd0408aa, 0xe4889193, 0x659aeb9f, 0x972a1aa6, 0xde4667fa, 0x74ad66a0,
+    0x5640c010, 0x15702061, 0x71703f31, 0xa1f3a273, 0xf146aefa, 0x88f0d136, 0xf580902c, 0x698bef66,
+    0x250b209b, 0xa5b83c85, 0xcfce51f4, 0xe8204470, 0x12c7f87a, 0xf565dfcd, 0x0ab37f72, 0x3fd3ff94,
+    0xe76f74a7, 0x17dbc2b6, 0xe7faa83d, 0x72d22f58, 0x5c76b035, 0xbe741c0e, 0x6819990f, 0x585b83a5,
+    0x17519f9b, 0x03c8bce5, 0x4a362d5b, 0xbc4c3f8b, 0xbfcfc2a1, 0x95d729af, 0xdd299ecc, 0xac2f4e2f,
+    0x032ff912, 0x64099088, 0x2fc2ec02, 0xbfdf8451, 0x6d150b1d, 0xcb16efca, 0x350798a7, 0x6506a768,
+    0x974c40a3, 0x910dd0e4, 0x8555320d, 0x10b549ed, 0x51b25dee, 0xc0321de7, 0xdfd6096e, 0xe926e15b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000018971\
+                          37590064188545819787018382342682267975428761855001222473056385648716020711424 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2,
+    0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8c, 0x3d317ccc,
+    0x00000000,
+    0xb12bf72c, 0x38af40d2, 0xb36b923c, 0xb4ceae4b, 0x21de9da5, 0xc9572f7a, 0x9353bf84, 0x0e2fc387,
+    0xfd972201, 0xb8e957c6, 0x666d7c3b, 0x178e0326, 0x75a0b5d8, 0x8dc37d37, 0x65511106, 0x8e98aa16,
+    0x9d8cc9a5, 0xb689b68e, 0xf2c106a6, 0x38fc8a28, 0x1386c50f, 0xa7310fa7, 0x8e6a1a68, 0x94b1ef58,
+    0xb194e528, 0xd02310c5, 0xc17a50ef, 0xd28ef64e, 0xf8698555, 0xda00dcf7, 0x560c71b9, 0x6067b912,
+    0xe60105c1, 0xae256d52, 0x8a15b116, 0x948fd181, 0x3b687ded, 0x06bac805, 0x720403dc, 0xf155c738,
+    0x0fb2b819, 0x04f62e44, 0x053012a1, 0x1a7cae6f, 0x995d8a98, 0x7b355a4f, 0xd0029bdf, 0x4cf07041,
+    0x09931f06, 0x1916acd9, 0xec607c31, 0x0f28b985, 0x4d392f4e, 0x6691fbcd, 0xed47727a, 0x68db53fa,
+    0x24a8409c, 0x0cb0262e, 0xfe370a17, 0x8f2cbf9d, 0x06061645, 0xd3381749, 0xa9e3bba0, 0xf72ebfc6,
+    0x6f735575, 0x12bf5e97, 0x0834fc02, 0x956dbed8, 0x7faba947, 0x8a950830, 0x00b2c183, 0xce74eca8,
+    0x6f173970, 0x2a2f0dcd, 0x892a5ca0, 0xa623fc52, 0x4e0a9403, 0x84063a90, 0x219411df, 0x4c2f66c1,
+    0x3f90981c, 0x771df44d, 0x907f9fce, 0x39a451b8, 0x3432f40f, 0x6391918b, 0x935194ed, 0xabcb6026,
+    0xf7972895, 0xb000a453, 0x872beefc, 0x3ce6ac9c, 0x1084ad28, 0xc6bc01f8, 0x668909b3, 0x50328cad,
+    0xdd1bc9e5, 0x81fbc331, 0xefb1baab, 0x00ad6d76, 0xc15596dc, 0xf2287730, 0xd101c9f2, 0x2bbc5f06,
+    0xf9b0fce7, 0x8a59c359, 0x17760019, 0x0d8f5d4f, 0x5100ac88, 0x2a854019, 0x4aa00871, 0x4e46a2b0,
+    0x27c4b554, 0x25a6dc3e, 0x60bdc285, 0x100f60bc, 0xbf5cf6ac, 0xaff9ccae, 0x63921434, 0x02d10832,
+    0xd1a14edb, 0x74ab4142, 0x554e96bb, 0xd9d2c0ad, 0x48a2dfab, 0x77b97c8c, 0xf097268d, 0xbcdf0529,
+    0xacfe2a2c, 0xdccac6d6, 0xde566c0d, 0xf762039f, 0x9b3921ad, 0xe1751610, 0xa05d26f0, 0x0c9605b4,
+    0xd62f9934, 0x4ed74a2d, 0x1d4d9729, 0x3719f1ba, 0xd6e2d5bd, 0x64f29752, 0x800a3e6d, 0xc2367d9c,
+    0x9f0223f4, 0x5fe05861, 0xdd4d8917, 0x0d525140, 0x963e1113, 0x680d112d, 0xacc41033, 0x6425d115,
+    0x8f6dc4c5, 0xb4e33ffa, 0x9e8aabd3, 0x1261514c, 0x06f01431, 0xe0ad3e4b, 0x990fe541, 0xb97d4f73,
+    0x8b0d1144, 0x67f0f1f8, 0xe8a4bca8, 0x1d10fa6a, 0x312d6f2b, 0xd9b76f61, 0xe13724df, 0x181c4c3b,
+    0xf9bc22a8, 0x22ef82c7, 0x9abb8c6d, 0xefb06975, 0xf05cfb0f, 0x4539a99e, 0xedc97018, 0xb4cf12ff,
+    0x1b28af4e, 0x876ec2fb, 0x2498cb63, 0x2a88d9a1, 0xb19c91ff, 0xe96a2c20, 0x9044143d, 0xf8ce5056,
+    0xe7f6a3bc, 0x0e068129, 0x937b27ce, 0x6e74d57f, 0x8520bfc4, 0xe753fa19, 0x3961c544, 0xeeaadf04,
+    0x2702eaab, 0xd3936b78, 0x9069f195, 0xd5816fa1, 0x7c047853, 0x898313a5, 0x79637fae, 0x6790ef73,
+    0xccdc7be6, 0xf675755b, 0xdf03f7ab, 0x5317be83, 0xdf671552, 0x989aa98f, 0x06367e0a, 0x6fb07e39,
+    0x3a1698ab, 0xfeffdbfe, 0x91ae99d9, 0x83572ef2, 0xce398d45, 0x452b1de3, 0x70e28a99, 0x4517b08c,
+    0x7a9c4f84, 0xec160f65, 0x81c2fff8, 0x8526f392, 0x09add117, 0x2026ad27, 0xe81b0b2b, 0xb366afbc,
+    0xe872cb6c, 0xd4faae7c, 0x6c303676, 0x92f34752, 0x70693f5a, 0xf5731615, 0xb2834f19, 0x57d707f0,
+    0x4540f71c, 0xbdb79103, 0xc215c135, 0x4de7eebf, 0x777d9916, 0x8e53dbd9, 0x3a8cb624, 0xbe87a222,
+    0x4f82c686, 0x50c4b3f7, 0xf1dffe33, 0xb57ed6ae, 0xc8913716, 0xd1471f61, 0xcab232c4, 0xca518302,
+    0xe1a701fa, 0x1e563995, 0x74e3f19d, 0x9703834b, 0x5e3fa98f, 0x68731600, 0x1d152a8f, 0xa0d8ca21,
+    0x87fa38d6, 0x123630bf, 0x42503ea5, 0x79810d2c, 0x425b0b21, 0xd72c34ad, 0x56def8a6, 0x99a07d22,
+    0x3a6dbd4a, 0xd74aca20, 0x638ac0a9, 0xaee9a14a, 0xada614aa, 0x5997e83f, 0xd10afbd6, 0x7b70be71,
+    0x00eeeca3, 0x90885c66, 0xf57b5f8d, 0x2325a397, 0x9de7cf6c, 0x78cb03a2, 0x14e47990, 0x2bdbaba8,
+    0xc3ce116a, 0x787e10af, 0x684854cc, 0x046a8702, 0x71a26d32, 0x7b2ad8dc, 0x071600af, 0xcf95ea81,
+    0x4a1d8e82, 0x8c093a5d, 0xcb118f74, 0x7aea82ad, 0xf443c6cc, 0x5d3f9441, 0x300761f5, 0xad0dfa5a,
+    0x8ac5e958, 0x884f9d2b, 0x9803c790, 0x2c679a03, 0x8f9772f0, 0x2f83bb8d, 0xa752d597, 0xfda8df09,
+    0x12a55761, 0x253d6843, 0xeeb4c208, 0x8a4a3085, 0x3d83ef92, 0xf9cab24b, 0x4d35e1c2, 0xec0526db,
+    0x7abc2d22, 0x0a0a8f8b, 0x76d4ed6a, 0x3b88bc59, 0x5e1d80b0, 0x1012ff99, 0xac613674, 0x02c8484e,
+    0x1d472267, 0xad33c175, 0x12749554, 0x4c33045d, 0x738532a0, 0x99962a85, 0xeed97e3a, 0x02d9242a,
+    0x3ce72b21, 0xc119f167, 0x3ac73b0a, 0x8de021f7, 0x34d8ba28, 0x3a69a27c, 0x7ff959e1, 0x804ec05f,
+    0xd720eb5d, 0xbc4cf43f, 0x50de5409, 0x478f6d9b, 0xecdd3964, 0x8fd25d36, 0x062352a6, 0x44c2dbc9,
+    0x7048d30b, 0xbbf9eb2f, 0x56e1803f, 0xc6fb96d3, 0xe4a3841c, 0x010ccbd9, 0xc442a711, 0xf53dd973,
+    0xbdb53899, 0xca357fe1, 0xdffc1378, 0xf226f992, 0x29179aa3, 0x2b0e9afb, 0xc8bb78a1, 0x979a4f55,
+    0xce273591, 0x22ba773c, 0xed365bef, 0x383aa08a, 0xb7a76e01, 0x78e1bac1, 0xc847213c, 0xe9dd71d6,
+    0x031bc06d, 0x5ea99a52, 0xe35018ea, 0xd1df30ae, 0x0a2e95fa, 0xcc515172, 0x20f503ff, 0xe851b0b9,
+    0x0c934363, 0x3b437b82, 0xf6cf8b25, 0x5ebe7d48, 0x15a5ebac, 0xcdda49e9, 0xb694331c, 0xadf4aea4,
+    0x203970ba, 0xc7e329c9, 0x0aabab43, 0x984bae58, 0xccff48cc, 0x88e394dd, 0xc5618713, 0x300f373b,
+    0x3e5d0937, 0x3772a7ad, 0x3bb24875, 0x559c6f0a, 0x076f8202, 0xd597d341, 0xeee0add1, 0x47f3d7d4,
+    0x72abcdbb, 0xca97873e, 0x7ce38d53, 0x8ce1aef9, 0xd80eb853, 0x7e96ad6f, 0x71c21798, 0x81713fb9,
+    0xab324720, 0x9541d61a, 0xb0cd33bd, 0x9d4b2a9e, 0xdfe5dba3, 0x769f9738, 0x3a3a7f66, 0xacd42c5c,
+    0xbe7b2bc3, 0x8a6cb11e, 0x7c7b66b5, 0xf5cec82f, 0xa7782ac9, 0x9ee81278, 0xb2c8fe70, 0x5460a247,
+    0x016cc769, 0x0d1cb92d, 0x7fd066d8, 0xc86d436b, 0x4e131302, 0x0811e208, 0x0361e5d5, 0x1f7a8bbf,
+    0x3137dcc5, 0xfffd6964, 0x75bb9ff7, 0x2b47586d, 0x65dda50b, 0x6ecc3357, 0x8369beae, 0xe251b295,
+    0x965fa934, 0x277fbc9d, 0x3af3c3f1, 0x40de191e, 0x3b534d77, 0xf3b2ee90, 0x462e030c, 0x6d5403cd,
+    0x664e5bb8, 0x7031d0ef, 0x7b957e91, 0x4ed85330, 0x57707c4f, 0x409c4058, 0xecbe8d8b, 0x15cd7224,
+    0xd02d79a2, 0x6967c10b, 0xc63a1b12, 0xfcda62fb, 0x6281a140, 0xdc20fd64, 0x3d8415de, 0xc5613c8e,
+    0xc8a010ea, 0x7c397750, 0x3ad02d0f, 0x3de1fd30, 0xdbfa7a64, 0x021196fc, 0x4fa9e6d5, 0x3cebe7d8,
+    0x516f9e84, 0x54a4e694, 0x53ec9717, 0x0e84f5e8, 0x054e24a1, 0xbf26eb60, 0xdac63e4a, 0x6550b0fe,
+    0x6add4b50, 0x619562d4, 0x36d235da, 0xc7f17987, 0xe15e67a7, 0x99f94319, 0x0aefc29b, 0x9c4545e6,
+    0x07408566, 0x4970cd40, 0x39578c3c, 0x7b2f1a34, 0x6fed3cd2, 0x5d290c68, 0xf7883365, 0x4b4d8790,
+    0x52c42fcc, 0x6c625cfc, 0x824008e8, 0x90452fef, 0x7401c575, 0x8ade1a3f, 0x9a0f6680, 0x2b21cbd7,
+    0x46d3fde0, 0x73395094, 0x102ae43f, 0x1dbab3b9, 0x6e973c9c, 0x50dbced6, 0xfaa4c439, 0xde29ac24,
+    0x7285398c, 0xd6e85741, 0xae65bf1e, 0xf37ae9ba, 0x4d4d7cf9, 0x8a93987a, 0x3e0bf60e, 0x7a2135ad,
+    0x686dd0a9, 0xd15fa05b, 0x3c5fe7d3, 0x4890c34a, 0xb24b2bc1, 0x4d8a815e, 0x13b5391a, 0xbb85f4ae,
+    0xf4461673, 0xf97c6532, 0x7542f1f1, 0xbd6f729c, 0x8b37d69f, 0x15b90059, 0x7993dc61, 0x165b97bb,
+    0xd1fbab0c, 0xc13d6fd6, 0x77e6afb6, 0xd09c5e37, 0xaad41d45, 0x7a1dda6c, 0xd8125ea4, 0x941b869c,
+    0x6dc45b94, 0x78c8c2d2, 0x4e610cc1, 0x74c054b7, 0xd4d4679d, 0xb26345df, 0x194327f3, 0x40b7403c,
+    0x367233a2, 0xfa0d118e, 0xbd239125, 0xc2f83a42, 0x1843bf02, 0x0183891b, 0xcada450f, 0xb4d35f6a,
+    0x7ad35444, 0x56675dab, 0xee667548, 0xbd2d56b1, 0x83c113b8, 0x886cbe42, 0xc18874fc, 0x7fbd44bb,
+    0xe27fd34c, 0x51bd105f, 0x482c70d1, 0x81e24e6b, 0x74299591, 0x7489c3be, 0x7b3f9245, 0xf2ae566b,
+    0xd6c7f0f6, 0x52803007, 0xfb688c0d, 0xdd1fa1a3, 0x9c9a026d, 0xc560ac4c, 0x0f09b163, 0x05680853,
+    0x6a2e064d, 0xb9bb3a62, 0x2457b04d, 0x7d1c6e9a, 0xbb8cd505, 0x96e2f103, 0xb0b98714, 0xbd9777f7,
+    0x37ed8358, 0x56b1ce01, 0x8be368ee, 0xdcd760ba, 0x39a9fa68, 0x0b469fc4, 0xebbdadd4, 0x491ddd4c,
+    0x9e58596a, 0x8c8b49bc, 0x1522bef5, 0x3dd55e46, 0x41a74b4b, 0x78eb60b0, 0xdaaa0ad0, 0x007301d0,
+    0xd2fdc4d8, 0x48f87f8a, 0x54aacc0f, 0x2060f293, 0x4ed6ab8a, 0xf99eac90, 0x35c429c8, 0xe1de3d7d,
+    0x3a0b3021, 0xbb85f88b, 0xb2eed5a3, 0xdfdf7b4a, 0xe3152b8a, 0x28957e33, 0x1a458daa, 0xc85cd63d,
+    0xe4a3c06d, 0x6e54e842, 0xcd400e77, 0xc261239e, 0x9be9fde7, 0x0551968e, 0xe14f0c73, 0x47541741,
+    0xdb781423, 0x803fb3d9, 0xca3aebb1, 0x8472fc27, 0xa435d25e, 0xf0c60696, 0x3be7545b, 0x732c9884,
+    0xfc828431, 0x514e1138, 0xbba7875b, 0x1431f187, 0x229937be, 0xafc5130b, 0x3228e594, 0xaf699519,
+    0x663fb99f, 0x8c5818d0, 0x9e3bdba6, 0x2ef24050, 0x06695e50, 0x1e1cb725, 0xf6e58239, 0xd5fa39a0,
+    0xe84ff5ed, 0x4f679458, 0xd52047eb, 0x85aaa6eb, 0xc5bf8e2b, 0xd68ec2c0, 0x45c5e033, 0xe9caeed6,
+    0xbe7433d7, 0x3680027a, 0x765bf341, 0x1cb4eb5f, 0xcab2db1a, 0xc36e24e1, 0x4be495c3, 0xa78fc73b,
+    0x5d94d14e, 0x99a39dff, 0x67f395f3, 0x998d1f30, 0x9125d2f8, 0xc7871542, 0x6662da23, 0x6d8131c3,
+    0xccbe8edd, 0x3947b72f, 0x3afe7e59, 0xe3454693, 0x7bbee266, 0x94fe923c, 0xca3a38cf, 0xccdf900a,
+    0x88ab87e3, 0xbde7e7e2, 0x60300dde, 0xa3513458, 0x16106f58, 0x0e5b3115, 0x47341a5d, 0x79118797,
+    0x615e1253, 0x3d1996b1, 0xa576d5b8, 0x12bd7154, 0xe8610b68, 0xcd55034d, 0x80ec65cf, 0x37cdc635,
+    0x5efe87d4, 0x39bb68fe, 0xc10dfca3, 0x58790a98, 0x9df2b2b3, 0xae88b3d6, 0xc2334ce2, 0x8e8a63be,
+    0x4491667f, 0xa84dbfa3, 0x76687c97, 0x1dab6d2e, 0x5b927cd2, 0x819c3bb3, 0x8b66256b, 0xa6e56718,
+    0x54dc05c8, 0xd3ac3d1b, 0x7dc6f38a, 0x1b49fa33, 0xc043999e, 0x9d2458a5, 0x84452750, 0x9fc47963,
+    0xf7ef7ee6, 0x77d96b50, 0x48dc5210, 0x53a9baaf, 0x3250e4ac, 0xdeb2ea9a, 0x2551b268, 0xa6e0fd83,
+    0x171b0407, 0xeb756bc4, 0xef286930, 0x8591cfce, 0xe70dbff8, 0x3efde830, 0xcd7977c0, 0x94bb6bda,
+    0x4c355671, 0x10600997, 0x405011ae, 0xf7383c02, 0xf2a6ca52, 0xc16ae57c, 0xac38c849, 0x740ee949,
+    0x176694df, 0x1382d913, 0xe3fd769e, 0xea661f3f, 0xf54a02b9, 0x25215a6d, 0xa199ae11, 0x07d7405f,
+    0x707aa6cd, 0xaedeaf93, 0xd04beea6, 0xabe0fe09, 0x2ce5f317, 0xc2f21b8e, 0x922e5d15, 0x9a89316e,
+    0xe30f0083, 0xcd542101, 0x21c66521, 0x3c83d769, 0x1942c994, 0x1c72ddd5, 0x7a326d4d, 0xa6d91893,
+    0x6441ed61, 0x651709bf, 0xf2f260db, 0x2925169b, 0x0e0bec56, 0xfcfcdf3b, 0x45f230a8, 0x0c4a970e,
+    0x00db9b93, 0xa55b8203, 0xb0debedd, 0x4fa8dc90, 0x46069393, 0x3e4c148f, 0xc4b2d8a2, 0x7af32a9f,
+    0xca70ae1e, 0xbc2131b0, 0x17bc33fd, 0x089f5884, 0x4b10da44, 0xfeaadd4d, 0x7d25c835, 0x855a56df,
+    0x93483d6e, 0x539f437a, 0x2ddfce10, 0xf884944d, 0x469df9e8, 0xd0c96929, 0x8ac88603, 0x49b3ae20,
+    0xe647fe0e, 0x0fd1e36b, 0xc851b053, 0x18c07711, 0x87aa74e2, 0x1f4fa96c, 0x46d3d2b4, 0x47bae9e3,
+    0xa2e50140, 0x1b830841, 0x0201ca49, 0x7bfc5960, 0x9e04412d, 0x9ea9d879, 0x971267de, 0x2693c73a,
+    0x9d2feca9, 0x24bde8a9, 0x94ce4da9, 0x062154ea, 0x4d660f66, 0x3a1a532e, 0xea5c3ddf, 0x197425c1,
+    0xb48d34fa, 0x628eec66, 0x043a3918, 0x58741106, 0x3eb339a3, 0x14200d00, 0xc2ad1f0f, 0xfa2de94f,
+    0x529d84fb, 0x93dd24f6, 0x5049f529, 0xf842cd40, 0xb2528c89, 0xa16684ee, 0xf1c4903c, 0x48f1e9fc,
+    0x6ce936ac, 0x5ebae9b6, 0x6bb488e6, 0x3d12488d, 0xe43c21bb, 0x1e9cf140, 0xb2dff2b9, 0x566a4afe,
+    0x5906cc16, 0x80eb5394, 0x1b8a0881, 0x548b4b89, 0x255a8c9b, 0x780a55cb, 0xd7659d83, 0x5c8d0eb9,
+    0xf25eafec, 0x21e58f25, 0xc78bb5e3, 0x0ae208fc, 0xfcd47405, 0x40d36faf, 0x618907df, 0x04332a4b,
+    0x9f9b370d, 0xc3622eb7, 0x1d9c49d0, 0xb0a973c7, 0x032ceb7e, 0x420847d6, 0xdc1bbd78, 0xb84e9a7f,
+    0xb2216856, 0xf7e538de, 0x111044aa, 0x07d5f8ed, 0x209cbbf7, 0xc85ba097, 0x5b941417, 0x85e7e1ce,
+    0x9f688d5c, 0xa98fdad8, 0xeb9b0f17, 0xe591223f, 0x84f2d823, 0xbe44ff0b, 0xf2fc5107, 0x327eadd9,
+    0x4ba670c4, 0x7838bb26, 0xfbe07f55, 0xc6d14690, 0x10624fdf, 0xec9794d5, 0x0b0eec6a, 0x4c0b32ba,
+    0x103e1dc6, 0xe49a90bd, 0xb8c9ed9f, 0x3487012a, 0x93e3e48f, 0x9d8c6c95, 0x482ce6ac, 0x24979d74,
+    0xd32ebc0f, 0xd4d952a1, 0x9edc0eda, 0xe0d47606, 0xc7ec9d0d, 0xf781569b, 0x1929d04e, 0x255907ae,
+    0x4f13f9f8, 0xfcf380f8, 0x4f814b61, 0x0e45217f, 0x63967cb2, 0x3ace0232, 0xc8c775fa, 0x32b24905,
+    0x368132ed, 0x509d27ac, 0xe7eb39c4, 0x314ca90f, 0xfd311ec4, 0xcf5a14ff, 0xe0618d5b, 0x8644cb8f,
+    0xebe16349, 0x96e8e5e6, 0x48373f99, 0x36899bff, 0xd45f6f92, 0x49f4fe5a, 0xcef63a56, 0x9d0297cd,
+    0x91b1aeba, 0x1f6b36e0, 0x8cc95632, 0xd1ac847f, 0x739610d6, 0x176650af, 0x4e2f401f, 0x13970d73,
+    0x21eb221c, 0xb7fd7f1a, 0x33c18c7d, 0xfeee65f7, 0xc679678d, 0xc5db0378, 0x65ca66c3, 0xb4e10534,
+    0x6c73483f, 0xcdf834e5, 0x70ee8d80, 0x06205d71, 0x076fc656, 0xb1ad8004, 0xfcc45732, 0xa2eaa72c,
+    0x517a0179, 0xc0c344a4, 0x3f80cfc5, 0xe590fc68, 0xa39788c9, 0x23e63d83, 0xa06d647f, 0x8114ecb0,
+    0x22a5b143, 0x7c428956, 0x867f9d34, 0xe2d06e7b, 0xcc1c10d0, 0x5f662888, 0x18624ded, 0xa6a42f1f,
+    0x36a0d719, 0x36ea9968, 0xf577d72d, 0x48ec124d, 0x3a3a13ca, 0x31df27c5, 0x1097bb5c, 0xa32ea26e,
+    0x7aab7877, 0x711c52f4, 0xcb37829f, 0x460bfbc2, 0x9f9801d0, 0x9b5479ba, 0x3964681d, 0x1fc0b465,
+    0x0d258181, 0x92c3c824, 0x557ecd12, 0x91c5404a, 0x07be8ea5, 0x1e5e5265, 0x835294ab, 0x8b867bc1,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000009485\
+                          68795032094272909893509191171341133987714380927500611236528192824358010355712 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9,
+    0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf46, 0x1e98be65,
+    0x00000000,
+    0xd4f82aa0, 0x5d830e58, 0xae7059ee, 0xbffc5cd9, 0x841143f1, 0x222712ae, 0xccc5146e, 0xe1cbf62f,
+    0x3db28937, 0x4d46d01c, 0x15004eb5, 0x63ec4b80, 0x44b7a5df, 0xba3ed592, 0xbebdbaa9, 0xe0bb377d,
+    0xa35e7d9e, 0xacd0ff02, 0xfb415805, 0x962fdabd, 0x7411efd1, 0x55dc1164, 0x0c837f96, 0xff087269,
+    0xe8bfa25c, 0x168310a5, 0xc083ffaa, 0x21d35e5e, 0x99d87fd9, 0xa5279e18, 0x71d9ff21, 0x770398f5,
+    0xe2a30ba1, 0x5b2b26a0, 0x6f0ceff2, 0xa5bd0bdd, 0x2754e90b, 0xf21d6c70, 0x913fb3a5, 0xd35e0555,
+    0xfb88e6b7, 0x1c396ad6, 0xa45e3340, 0xa5f8c96a, 0x58caf3a0, 0x6fb255aa, 0xf2b4bc87, 0x5ca59e69,
+    0xdd88fb11, 0x7f69bea8, 0x8717be7a, 0x7701e2f7, 0x3b150aa3, 0xf2cb2fa7, 0x124f0dae, 0xc7f55d66,
+    0x915b5138, 0x763e3d04, 0xac6c7c7a, 0xb1ba260a, 0x79a9457a, 0xf594bcaf, 0x93d6d67e, 0x27b3ab91,
+    0xf2499e3d, 0x4e988ffe, 0xe4844a27, 0x544e4a2b, 0x9c44a991, 0x18bfe2af, 0x8c49cb50, 0x0536a641,
+    0xe3e5aafe, 0x0a4179db, 0xfe211444, 0x352cd94e, 0x90cae61e, 0xb8ee2cac, 0x8014c48b, 0x66bc9f2c,
+    0x004cdf06, 0x3417c8f9, 0x35d4afa2, 0x3643f0c6, 0x8b1a0baa, 0xa009a6cd, 0x8b7c67ea, 0x520c703d,
+    0x675a5600, 0x7d0d3184, 0x5107ecb0, 0x3e411bff, 0xb30a826f, 0x9542e393, 0xdbbbd1e7, 0xf143f364,
+    0x4ee31ac2, 0x73e9b6f3, 0x1757a64b, 0x39180a04, 0xa1e846a4, 0x6d7c8477, 0xdf68343c, 0x6e1cdea1,
+    0x1f548617, 0x39cb9124, 0xe049e96a, 0x50a55c56, 0xe700a618, 0x9ba0712a, 0x314397d4, 0xff732c35,
+    0x6422fd54, 0x81d3d5aa, 0x1cdde092, 0xa647d4f4, 0x9bb5ae4d, 0xa7cebe6a, 0x59458e07, 0xce1a5f22,
+    0x1b41287b, 0xbe80fa75, 0x436e9701, 0x2722eddc, 0xedde591e, 0x30bf4df4, 0xfe303a9c, 0xc7910bee,
+    0x00ed03b9, 0x8697aaa9, 0x8ea1f9a7, 0xad23091f, 0xad153b8b, 0x624f7ff6, 0x3b9aef30, 0x89b08082,
+    0xcd1b0d34, 0xb90685b5, 0x4606c61b, 0x1bc1449e, 0xb32c3b59, 0x1e086e3e, 0x97b36d0d, 0x0554bd82,
+    0xd39ee3c1, 0xbf9b9c4d, 0xd9eb7e36, 0xbde85b8f, 0xfca3162b, 0xef860232, 0xcf64a4d5, 0x9489f6f8,
+    0x5fc3aa62, 0xc614ce3e, 0x90371529, 0x63b942c0, 0xd42a9765, 0x1b415104, 0x0c6da428, 0x1aeb099a,
+    0x3b1f4fca, 0xb0493452, 0x5a79e58c, 0xa90094a5, 0x37e47501, 0x7f2bde14, 0xe3a8e70a, 0x0d4cfbec,
+    0x389ed89f, 0x8de63d02, 0x765e694f, 0x37bda127, 0x6c33d0c3, 0x21aac535, 0xc696c64c, 0x02871b29,
+    0xa734f222, 0xfd6942d2, 0x3928666d, 0x9cbd84b8, 0x8a9c1789, 0x3f98d807, 0xa4d6752b, 0x474674aa,
+    0xfcf4781b, 0x0771259d, 0xd15b76df, 0x0b9d7007, 0x6393da48, 0x867efd7a, 0xaf532743, 0x24c86f0e,
+    0xb1408312, 0x947bade9, 0x0ea62ff2, 0x00eef1bc, 0x65d297a5, 0x4d58934d, 0x51c46351, 0xe090452c,
+    0xf47b6434, 0x68909e03, 0x013e75ff, 0x22d75a9d, 0xeadf44d5, 0xe7116e2c, 0x64a7f63f, 0xce8cb614,
+    0x7c9a8317, 0xb1781d4e, 0x63e50e2e, 0xdeb2ed90, 0x9877b037, 0x43431314, 0x07c5ffb5, 0x6a2cf90d,
+    0x848ca00c, 0x5cbaa7a4, 0xd67f3973, 0x6a625415, 0x1d176088, 0xac20cfdf, 0x1b32bbd9, 0x37e74962,
+    0x6bcabd04, 0xf453c3bb, 0xaf2441e4, 0x28db345b, 0xb834d456, 0x7d159782, 0x739732f9, 0x0f3b6afc,
+    0x13d25b9d, 0xde5abdb7, 0xb7e9e186, 0x9c399c58, 0xb04ad38b, 0xa4dacf0f, 0x48a3d6b4, 0x06d9f43e,
+    0x38c1ad67, 0x57e6fe4d, 0x8e6e4b7b, 0xb04b7af8, 0x04418225, 0x27ba3796, 0x98e4b33f, 0xc69f0c91,
+    0xecdccd5a, 0xd8ba2f6a, 0x67769d20, 0x120ca74e, 0x619698aa, 0x946a1b4d, 0xc87c36a9, 0xb90f75da,
+    0xf1a69a35, 0xdb33bc42, 0xdae63bc0, 0x2dee6dd4, 0xc2bb00bb, 0xc758bc9d, 0x28ec8805, 0xb1e82253,
+    0x28eeee80, 0x1c636bd3, 0xb4aa1db4, 0xe65cc786, 0x4cc7363b, 0xa63c89c2, 0x29a88248, 0xf34a849e,
+    0xfd5e5d2e, 0x339025d0, 0xd203dacd, 0x88486753, 0x1e6f09a1, 0xa2d0b684, 0x26996078, 0xf6a45538,
+    0x2fea90cd, 0x2a13a960, 0xef9950b9, 0x72de066d, 0x069d603b, 0xf97eb5cd, 0x5ffab8f6, 0xe3f72c50,
+    0xc3825f68, 0xf5ed99e9, 0x40613d14, 0x84c826c9, 0xd2d322dc, 0xe60d0cd3, 0x92aa5cb3, 0x81c57bcc,
+    0xa1aeb61f, 0xccc15f11, 0xcbfb024d, 0x9adcef2d, 0x6bfcca2e, 0x7a0df26a, 0x3c100364, 0xaef87392,
+    0x08f8f602, 0xc222762e, 0x7834b58a, 0x9c8c2058, 0xf60064cb, 0xd540184e, 0x078a47c5, 0x08c268a5,
+    0xa44c7cf1, 0xe3f65c48, 0x5b9554e5, 0x21efcf80, 0xc98e980c, 0xec523ecb, 0x7d7d394d, 0x823013a1,
+    0xd83b7455, 0xe0ee6cf9, 0x40b6f5c6, 0x5ab8af3a, 0xf7683034, 0xfe3f7d10, 0x3141f01c, 0x7865da4f,
+    0x7acaf29c, 0x3ca8efb5, 0x7c050bc5, 0xd6dbe6a4, 0x1a7ebb94, 0xaccec1c7, 0x1b6a1e3b, 0x5009e128,
+    0x87fd4564, 0x614c8ad2, 0xf84b4fe9, 0xa1252a9a, 0xdf803c69, 0x61a068aa, 0xf253200b, 0x491ddfce,
+    0x6283b85a, 0x268fedf7, 0x1ecf73ae, 0x1ee8e7fa, 0xf2d21b6c, 0x5e10c077, 0x123baad8, 0x9fe17bb5,
+    0xfd76ff75, 0x2f9eb3c2, 0x2c5e0a23, 0x78cf1e63, 0xe0a99fac, 0x3cc55a12, 0xceb52d8d, 0xdbe5286d,
+    0x433e59fa, 0x3c4ece01, 0xf19b60d6, 0x79d9e446, 0x283f60f7, 0x3512a3db, 0x70eb9899, 0x363d43b6,
+    0x8dba537d, 0xeb1d2714, 0x494f5290, 0x0398fce9, 0xfc4c86c5, 0x8d9ac4b3, 0x25ecacdf, 0xd0997f38,
+    0x9e9a57da, 0x524dfa39, 0x666e7fd4, 0x1e4ca51b, 0xa23c3f19, 0x0744be00, 0xed5e84a0, 0xfc55023f,
+    0x5742e14d, 0x6987d91e, 0x17ffdac7, 0xef5b9df1, 0x1b41ae6b, 0xa9e94025, 0x1f531ff3, 0xe2a9db4a,
+    0x82c951c7, 0x7f05643e, 0x7648fe3f, 0x8d24f8b9, 0x256a3ef5, 0xa77cd20b, 0xa9225c43, 0x11cc54ec,
+    0xae714c2e, 0x5b53b2d5, 0x7cb554e0, 0xb0972697, 0x45c4da8c, 0x708fcecd, 0xabb18ccb, 0xf95d8244,
+    0xabd7be35, 0x6be33704, 0xcf434607, 0xda7f4254, 0xdce8661d, 0xd77c02ed, 0xd795af74, 0xf1606d48,
+    0x68a398e6, 0xd1357f41, 0xea4fb74a, 0x3d65869c, 0x9e2f43d0, 0x1ad7cc67, 0x9340bec5, 0xb5af6fd6,
+    0xf02ca87a, 0x45852f0f, 0x1aa448fb, 0x1944732d, 0xf5362de0, 0x332b1eb5, 0xc8b45a52, 0xe93124c6,
+    0x08739433, 0x9cfe0b75, 0x476d847c, 0x9b0adcf9, 0x77656f38, 0x01cdeb39, 0xdca18306, 0xf37c67e7,
+    0xb2cf23c2, 0x5b6134ef, 0x2522f46d, 0x15ebd3c4, 0x3535a6f0, 0xc159dbc8, 0x690a06a3, 0xaca217e8,
+    0xcbd06a2e, 0x02ca57d9, 0x5446c83f, 0x903819fd, 0x5bfac37d, 0xf896e23f, 0x571fe5bc, 0x709ea525,
+    0x730f0f0c, 0x323b6693, 0x153c8885, 0x24f0f19d, 0x97db923d, 0x8de0cc4f, 0x732b74da, 0x7145a854,
+    0xcd888a78, 0x79779e47, 0x0e113ecf, 0x25536f3b, 0x90fe5e50, 0xaf7678d9, 0xdff8dd19, 0xcdb0ae63,
+    0x4de7cc7a, 0x4a04aab4, 0x490ee64f, 0xd3ba9f15, 0x9159188d, 0xd9ce1663, 0x4392c646, 0x125d2168,
+    0x5606f1e3, 0xafa923ca, 0x63503351, 0x346f5fba, 0xd1ac2025, 0x84a53480, 0x4e0e3623, 0x9af3f8be,
+    0xe521e0d9, 0x12e7c022, 0x04234402, 0x93edcc70, 0x5faee24f, 0x83cfad2e, 0xb9a1faac, 0xd1a2b3fd,
+    0x6cc0d9a0, 0xbebd95b4, 0x54f44d55, 0x591d0056, 0x806944c5, 0xe83b984f, 0x51b9f477, 0x58482832,
+    0x8bc2ee23, 0x1ccaee16, 0xec3c9602, 0x93cb6694, 0xf8e2a3ad, 0x79e8bf33, 0xaa600878, 0x6bac2683,
+    0xcfdedf67, 0x655b6fd2, 0x9c51693e, 0x00739b8f, 0x6d3cdc4d, 0x19552548, 0x98e8337c, 0xc3d83683,
+    0xec98c9a6, 0xd17c510a, 0xe47dc688, 0x14b8465f, 0x21c8c530, 0x17c2d07d, 0x53169848, 0xd946cb12,
+    0x968d6cc7, 0x4095f70b, 0x18d1bb32, 0xd9e4847c, 0x5baa21ef, 0x1d524a37, 0xd148c6a7, 0x7007731b,
+    0x4edebb64, 0xdd977cf2, 0x621d8c3a, 0xf6fff528, 0xec97d2a7, 0x6d4ca5c2, 0x24493ce3, 0x9a9c25af,
+    0x60d65653, 0x583105ef, 0x5099fe6c, 0x739a4607, 0x6edb64c6, 0x4556e780, 0xa5ee767d, 0x98249777,
+    0x830e23b0, 0x24cc57b6, 0x10a53838, 0xab5becab, 0xfa5dfdf3, 0x11169b44, 0x3267459b, 0x21c1e24d,
+    0xae331f4f, 0x72a6a36d, 0xf8d27191, 0x54fc75d3, 0x78d9b6aa, 0xb480629e, 0xc51906fc, 0x444e7ba1,
+    0xe06bf88c, 0x427ed2fb, 0x79976e97, 0xe6cff752, 0x5de61334, 0x3e066c52, 0xeb0d93dc, 0xa71ac24c,
+    0x3f10af03, 0xa0afef7e, 0x0b5b32d9, 0xcfd021b9, 0xef544329, 0xddd05807, 0x21661fa6, 0x07372a85,
+    0x0746c758, 0xa4456a55, 0x307afd20, 0xf00c57af, 0xbd4cabaf, 0xea285556, 0xc5ac8273, 0xce299b89,
+    0x163affaf, 0xe0b6fe64, 0x26ea5757, 0x4c88cd9e, 0x136f77c6, 0x2db30499, 0xa98b77ff, 0xb736e09b,
+    0x31d4f831, 0xa4fae7c9, 0x56a64fe3, 0x9feba2ef, 0x8a882083, 0x5025cce6, 0x82b7a51f, 0x833aea1a,
+    0x240c9d61, 0xf74db2b3, 0x7b1581bd, 0x62e74a1b, 0x24d82ed2, 0xcfd653c0, 0x458a652d, 0xbcab8883,
+    0xf433e9d5, 0x8a48eb4a, 0x0262fd29, 0xcdcba363, 0x77af66a5, 0x7a0caecf, 0xf30e565d, 0xd643b3aa,
+    0x11813844, 0x5a1ffc32, 0xe12aa952, 0x78c0a188, 0xc34c5a18, 0x64fdc200, 0x69abd111, 0x5c8743a8,
+    0x75292daa, 0x8ad22a08, 0xe9cdb0ab, 0xf64cc2c5, 0xbee17c1d, 0x379e0c3b, 0x9e2488bb, 0xdb129994,
+    0xe6354893, 0x3fa103b6, 0xbf09ec6b, 0x7cb9b245, 0xfb6f5f4b, 0x01ee5dba, 0xa48ae1a2, 0x1290c694,
+    0x8bb59846, 0xa35cc35b, 0x74d987b2, 0x944af5be, 0x08cd6780, 0xe26df5c0, 0xaa2c9bab, 0x80c55a21,
+    0x644b8903, 0xdeb35f6c, 0x24ad9479, 0x26e9e44e, 0xd421f56d, 0x7c0e2076, 0xeabf789b, 0xccea9d3f,
+    0xa2882842, 0x43c91a8b, 0x50489705, 0x77bc0264, 0x6b3c40cf, 0xbd9965b8, 0xab168921, 0x48d060f2,
+    0xb93effa0, 0xbd192e6c, 0x06b8dc05, 0x8add9442, 0xe43e061e, 0x24202c17, 0xa56a4e8c, 0xbc9b6f34,
+    0xd06c2e6a, 0x9dc0a298, 0xd6563b6a, 0xc260a7e6, 0x02f76b86, 0x68e0b305, 0x60a53c09, 0x2fd5b14b,
+    0x3480d6df, 0x3dbb4f11, 0x855c7a84, 0x682f7c47, 0x4e27b144, 0x97399013, 0x536d56ae, 0x22228df5,
+    0x4c84bb34, 0x6382009a, 0xc9a2d5fb, 0x069d926d, 0x430e20b8, 0xadcf281f, 0x7bdde277, 0x36b7bed2,
+    0xa0a144df, 0xa443f56b, 0x77d52a87, 0x28ed45ce, 0x8340b59c, 0xef3430be, 0xac94acb7, 0xafc78e9f,
+    0x04345d2c, 0x72d0e25c, 0x88e5d8c9, 0xcf0d7c50, 0xdaa52ee8, 0x96dcfabd, 0xe0592ddf, 0xc12201fe,
+    0x90af91e9, 0x7e11048b, 0xbf7500fc, 0x0171583c, 0x3623b390, 0x105d878d, 0x4dc5a59c, 0xf9fb3c98,
+    0x7ac24e48, 0xfed02130, 0xd5431875, 0x9a02eb4f, 0x0d2b0e67, 0x5d2e5ce2, 0x7daffab2, 0x5b7ab5b6,
+    0xa8e80a2e, 0xe59293e6, 0x7ded50ab, 0x4570e9a9, 0x7c166467, 0x6dd8f22b, 0x123464c9, 0xcb84256e,
+    0x33047a91, 0xb001dc3c, 0x9c5b58ff, 0xeb437cf0, 0x078aa659, 0x00f2ff0c, 0xa39c6892, 0xae7218ce,
+    0x850648d5, 0xf6ccacfc, 0xc9081404, 0x80735e46, 0x66dadbed, 0xa9a0437c, 0xe6b2c2cd, 0x67d950e1,
+    0x55db7118, 0x436f2f4f, 0xdcda612e, 0x921696c3, 0x45bb16f5, 0x1e9d8888, 0x77c657ef, 0xd2156f33,
+    0xf719b699, 0x83dc960a, 0xfa0238c0, 0x077724ea, 0x02691f4d, 0x9f91a9a9, 0x0a77fce5, 0xd7ed042a,
+    0x5a147b4a, 0xa36a0778, 0xf2818478, 0x26d09c72, 0x0d1c1c40, 0xf7bf7075, 0x2fccdd26, 0x430580cd,
+    0xa5fad0cf, 0xad4d908b, 0x1cfa067d, 0x31457d65, 0x40a21215, 0x0438e105, 0x50bf3c6f, 0xc662be54,
+    0x195acaa4, 0xb3c13457, 0x581755c0, 0x1079c8ba, 0x1fd5cc7f, 0x124afaa1, 0x93d47529, 0xe3ad3448,
+    0x505748ba, 0xe5c5f27a, 0x9f91c9de, 0x86943775, 0xe44e7fcc, 0x852b60d1, 0x4a238e7e, 0xbac8708b,
+    0xd0c28be5, 0x303cdc62, 0x34dd8a1a, 0x25b507a5, 0x44f2716a, 0xdd08163b, 0xb35eb9dc, 0xa6012ce8,
+    0xe4229856, 0xd891ec93, 0x8700e2a2, 0xc4783443, 0xa90741d3, 0x3cf9fe64, 0xeb9f0892, 0x915ca880,
+    0xdf05d0a0, 0x0badfaa5, 0x6d7a412d, 0xa8561d4b, 0x30cb718b, 0x33ffdaae, 0x06bb171f, 0x3cdf2e69,
+    0xbd4ab39a, 0x184438a3, 0x1ce0e883, 0x07832ea5, 0x825356b5, 0x5bbe7a38, 0x16648028, 0x7a623236,
+    0xa5a4a2eb, 0xddf7b103, 0x2c8c5649, 0x5640d12d, 0xa19d0f5c, 0xbdcad511, 0xbc8ff2a4, 0x4d201ce5,
+    0x39e0790b, 0x0a19f10b, 0x62db7344, 0xd72bc5a2, 0x02632343, 0x16d73719, 0x10d87083, 0x79bb5175,
+    0x11056e74, 0x4b5344d2, 0xd75d81b3, 0x8e494115, 0x68e4b3f7, 0x0a81029e, 0xf66e1419, 0x1e51e7da,
+    0xcb400ff9, 0x6f7b8079, 0x655104e9, 0x7413d689, 0xa887f1ee, 0xc474920e, 0x75e68eac, 0x02e89493,
+    0xbdef74d0, 0x52291b6b, 0x6cc262c5, 0x8af1eb6d, 0xa1de00b5, 0x665ccfc2, 0xb55c0426, 0x620567ec,
+    0x17809bfc, 0x730b8a67, 0x3a77af33, 0x726d7f62, 0x48ae1d0c, 0xa650d025, 0x287b3157, 0xf9068042,
+    0x5d75f1e0, 0x5cb46e32, 0x27f00a30, 0xa20f7604, 0xd0c4f383, 0x20f19fef, 0xc7c54d9c, 0x225de9dd,
+    0xfe0d7071, 0x551cb090, 0x9499beef, 0xa5b1596d, 0x2dfed6f1, 0xd31e8a33, 0x56e05212, 0x52796392,
+    0x60dc54e8, 0xb67b326a, 0x7e2ed4e6, 0x4c0f0254, 0xf0d50b30, 0xf11a6207, 0x31b93e5a, 0x465b92c8,
+    0xe806e379, 0xd8563d04, 0x3c87482a, 0x81f11ce0, 0xad51f27f, 0x9d6400f1, 0x30dc962c, 0x87c61b17,
+    0x031093a6, 0x9b5dba08, 0xb8b71e20, 0x39254cb3, 0xd2231684, 0x43076cc7, 0xc41a9b12, 0x7f2e5b62,
+    0xc1daf0b9, 0x6093b0a9, 0x26125cb4, 0xa4a5d727, 0x0f1beee8, 0xd6893b4e, 0x42a6c869, 0xea6c8e3d,
+    0xb5d39a3b, 0xe8d71e8d, 0x33d28f99, 0xfb158e03, 0xcec0dbb1, 0x7b11d5c7, 0xb08ad58f, 0xc15df6f7,
+    0x7a8b1812, 0x8029f7db, 0x6d16444f, 0xe346bf11, 0xb0487dce, 0x6b03f34c, 0xd9637a6e, 0x24c9ef82,
+    0xc11b3e9c, 0xaa75a020, 0xd5e296a8, 0x45ac588a, 0xe1bf31d4, 0x00f78971, 0x83f5895a, 0xa1166171,
+    0x69d06b2f, 0xbfdafd12, 0xa99de28e, 0xf2646738, 0xc090931f, 0x4321505f, 0x25f22d0f, 0x24ad0005,
+    0x4f82a4ce, 0x6c940cde, 0x86fca62e, 0x88f70eda, 0xff3ea894, 0xa7de4c10, 0x3d29fed4, 0xffb7bf0c,
+    0x9f54d106, 0xc7686b56, 0x3f8579a7, 0xaea371f1, 0xa8d7c13e, 0xc713bb3b, 0x558803fb, 0xc360d280,
+    0x5e70a723, 0x5718aa59, 0x60f61a21, 0x5dfc28e9, 0xa5fbce2d, 0x0f395dec, 0x7b0d8265, 0x42e7f7b9,
+    0x880bf762, 0xa1fef79b, 0x15b57c9f, 0xc32843ba, 0xe51c86e4, 0x2123034d, 0xcc3662ca, 0x62ae7a7f,
+    0x7e104562, 0x592570df, 0xe06752e3, 0x1f58b123, 0x55f23e14, 0x662ed782, 0x0732da27, 0x2417b3e2,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000004742\
+                          84397516047136454946754595585670566993857190463750305618264096412179005177856 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c,
+    0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa3, 0x0f4c5f32,
+    0x00000000,
+    0xa51b3514, 0x2032bb63, 0xe2f8f836, 0x1d74fabe, 0x467ed1f5, 0x42f7c43d, 0x4181bcb1, 0xec4bf2ea,
+    0xd1779800, 0x97752ef1, 0x678ad8f2, 0x1276df70, 0xe838160f, 0x73786eec, 0xaa8b5118, 0xc7ef1783,
+    0xc969a96a, 0x49dc7e7d, 0xea4163d8, 0x52b2f3fb, 0x4762715c, 0xe04d03da, 0xfe1a3214, 0x220546ae,
+    0xb033e1b2, 0x841ea697, 0x305920fd, 0x6815169a, 0x83cb3803, 0x7ff1252e, 0x291d1e2f, 0x576547be,
+    0x99af4986, 0xf49f3109, 0x201f8c1c, 0x33180dc8, 0x4d567fc6, 0x2a3d342d, 0xeb3d17c4, 0x86a8a20c,
+    0x911b0b18, 0xbcc4b70f, 0x44661e40, 0x72289e71, 0xb64c92d9, 0xd4964f2a, 0x083331a8, 0x9ab643e6,
+    0xac1cac11, 0x724d18c9, 0x50ac64c2, 0x2d687f75, 0xac6243dc, 0xeaefa448, 0x7a48517b, 0xc88c0200,
+    0xcfac379a, 0xddd2fc40, 0xc886f91f, 0x847c9b8c, 0x2a8c8a10, 0xf75ea583, 0x8786c759, 0xc08f249a,
+    0x18822a31, 0x087f6844, 0x6448773c, 0x24fc9655, 0x211ee503, 0xbabfe84c, 0xc66b5aa3, 0x9df16035,
+    0x7af43156, 0x4573d0f7, 0xb779a2e6, 0x620dffad, 0xf1955c92, 0x823dcd23, 0x20085868, 0x1cddcce5,
+    0xc8ec8f62, 0x1e77f7dc, 0x0e49cd2f, 0xc2132f7f, 0x1262c858, 0x24d7c12c, 0xca2b9c2d, 0x67845efe,
+    0x149d774c, 0xe2c7648a, 0x532c2405, 0xf63b3cf0, 0x6fb7f553, 0x059e4df4, 0xb9f7ef1c, 0xb6529654,
+    0x2b1522e1, 0xe914f614, 0x89ae2283, 0xf53ea9ea, 0x65cc1d11, 0xdc8c7608, 0x03068743, 0x5fa0f7f3,
+    0x24f6a13d, 0x555be48f, 0x4330f653, 0xa87c11bb, 0x4ed7351f, 0x0b50547d, 0xa264f423, 0xb7b42670,
+    0x3fa413ec, 0xd9697547, 0x1471b95d, 0x1f385b7b, 0xb8bbfd31, 0x89090fd8, 0xbf29850d, 0x8c9d0dad,
+    0xdf851897, 0x4a073c15, 0x223dd9b8, 0xb63251a9, 0x2e44af62, 0xd75281d3, 0x658260e7, 0xcfff935f,
+    0x133738ac, 0x4e99f8a8, 0x97bb20a4, 0x640796db, 0x3461a0bb, 0x1c40141f, 0x58521a9f, 0x9e8e2353,
+    0xe26f89ec, 0x76e4d20d, 0x881a1530, 0xdd3b4011, 0x733104e2, 0x8858cb8e, 0x284cd019, 0x36a7536e,
+    0xcadafbe6, 0x84a6a86d, 0xad9553cc, 0x4a0b398d, 0x38f07153, 0x33925d99, 0xba34b28f, 0x1437f798,
+    0xcdbd0838, 0x7788a896, 0x7827615d, 0xceacd1f1, 0x070f7cf8, 0xf01b3f4b, 0x64e8c996, 0x56bd0c87,
+    0xa03782f3, 0xc000fe37, 0xcd1eed11, 0x6cd00d6c, 0x944517d4, 0x947593a6, 0xe587de83, 0x751a2afe,
+    0xc0b3c836, 0x6be92b47, 0x348fb0bd, 0x398184d7, 0x26974bab, 0x6ab77387, 0xd1cdd58c, 0xfd96831b,
+    0x2048b50d, 0xc16c96fb, 0xebc16f93, 0x763a93b9, 0x9f089820, 0x295e706e, 0x3dce3e4e, 0x45f2a0a8,
+    0x7633379d, 0x563e3897, 0x2068c89f, 0x97250e37, 0xaa1f92fd, 0xc6aba2a9, 0x1deb938e, 0x3963e6da,
+    0xeb1cdf22, 0x0822c11d, 0x80578d3e, 0xf148b2d6, 0x794eb9f8, 0x38f16b97, 0x7e2a958a, 0xacbb6ba4,
+    0x961a6729, 0xa099e045, 0xec99132f, 0x89b8cd5e, 0x8bcbe91f, 0xbabcd37c, 0x95eb40f1, 0x0c1bf388,
+    0xb4a210fe, 0xdfc1b212, 0x3192afaf, 0xa5a23397, 0xb0be1aea, 0xb611849d, 0x1a700739, 0x913555cf,
+    0xe06d0933, 0xc9319d66, 0xa73f130d, 0x2e597c7b, 0xa3179070, 0xd533ef5f, 0x457ae86d, 0xaee30bbc,
+    0x8d8fe646, 0x4f5a4ab2, 0xe445db3d, 0x017d0b3f, 0x440fc69b, 0xd2f36fc9, 0x6b22f257, 0x61b11a12,
+    0xc3fecd6b, 0xf385a93a, 0x9572e659, 0x31b7a9a2, 0x83a8881d, 0xf5be827e, 0x8b1bd795, 0x0583c566,
+    0xedbc27eb, 0x9379e55f, 0x6862b9b0, 0xf525512e, 0xf6a43982, 0x9b675dc6, 0xa03baf09, 0x6ed50007,
+    0xe1903b3e, 0x5720289d, 0xbcf1aa8f, 0x2e23f0dc, 0xc960fbd3, 0xa57af56e, 0x8c72ceeb, 0x9e349a45,
+    0xe81ba040, 0x045ff310, 0xb7454d2e, 0xa5479116, 0xf5c83f44, 0x1a2b3108, 0x52a631ac, 0xcda69a84,
+    0xe52322ff, 0xebbf6775, 0x351aae56, 0x27ab110d, 0x839aa4ba, 0x2bbb5c2d, 0xea096425, 0xcdb94d63,
+    0x8c29350b, 0x8824dd6e, 0x34464feb, 0xb88d0824, 0xfa96800f, 0x7e1a2eb1, 0x82606539, 0x4c990932,
+    0xdf2549db, 0xc4e6b28b, 0xe613e306, 0xe33f06ea, 0x35a75ee0, 0x294a90d2, 0xb32e1502, 0x3ce22bae,
+    0x07c3c594, 0xe1420ae7, 0xf40ea2e1, 0x5aa4aa16, 0x089b53d0, 0x9cd95d45, 0x2c2eec80, 0xaa993ddf,
+    0xc7b9b260, 0x4102f42b, 0x6cf242e5, 0x2c438434, 0x5850581e, 0x20c17861, 0x256aad11, 0x32103190,
+    0xec3ce56e, 0xdf5a70c8, 0xda852548, 0x17ef4fd1, 0x8aa7cbba, 0x34dbffd0, 0x364c3d46, 0x1264a7e0,
+    0xed3ecc8b, 0x6a242296, 0x7cde21a4, 0x3770eb81, 0x37acf6ea, 0xf6b89400, 0x9241d00c, 0x14850eba,
+    0x1c8b4d20, 0x0e31da0e, 0xa94387b9, 0x32d817a7, 0x9d72ba3a, 0xef8760b0, 0x1dc7601e, 0x7f4d85f0,
+    0x07862267, 0x1c0db75f, 0xe7e5f622, 0x446c5aad, 0x31300e72, 0x1ba82448, 0xff2c7a6c, 0xa06c06c3,
+    0xf8e86c00, 0x52da1dbd, 0x4ed0e01a, 0xec63801c, 0xb17d3bbb, 0x527f8e6e, 0x6ae63510, 0xec4a051f,
+    0xfa0a4ad6, 0x9b6a8047, 0x7a7c7779, 0x615b721d, 0x3cfaa98b, 0xeedec64b, 0xfa36aa6d, 0x053caaf9,
+    0x2a63ab55, 0x89a1c709, 0x32fcae69, 0x9cd6a249, 0x8cf99f56, 0x07d039a2, 0xd9faf657, 0x8ed700b7,
+    0x9ac2b876, 0xa583ab97, 0xd74f71a6, 0xe3ad92f3, 0xa4881e92, 0x89499de4, 0x94a1fe28, 0x9ccc3181,
+    0x36223e2f, 0x3f2e7d08, 0xa69183da, 0xaaa46312, 0xaa62ea5a, 0xf9a86eff, 0x1eb1c678, 0x8245be4a,
+    0x29a5f3e7, 0xdfbf973c, 0x7674ac05, 0x92c1c52d, 0x701c3498, 0xb8d873b0, 0x31f3c5f0, 0xb2731fa8,
+    0x649884f2, 0xf6004ca8, 0xe24aa72d, 0xd51adc95, 0xdfca584f, 0x6e2d3263, 0xad14902b, 0x0f8cccfa,
+    0xe9f08230, 0x72d9e21e, 0x1291487d, 0xb20b5c02, 0x3ecd5a62, 0x5bf455eb, 0xe879838a, 0xb057bd5d,
+    0xbd4a1ff1, 0x9733bc38, 0x2d2ab383, 0x502b87bc, 0x31ef23a9, 0xe2487fb4, 0x4597d7d7, 0x8ed8db6a,
+    0x14264f1c, 0x63d5ca87, 0xf40ad6be, 0xe5eb46df, 0x0c2ab8de, 0xfab2676d, 0x44fcaf45, 0x49c45765,
+    0x6e969f31, 0x9e9e1d26, 0x2c887ba0, 0xd3f404e1, 0x92269cca, 0x8d22a8b9, 0x0e5cda1e, 0x91414840,
+    0x81a3f886, 0x6fc5e6de, 0x438023da, 0x1dcfe53e, 0x5ff15c84, 0xf1af0e3e, 0x20ab1bdc, 0x9c334087,
+    0xc8557067, 0xe1418ec3, 0x838c7f04, 0x04c7230d, 0xc9e0f95e, 0xb23bdde3, 0x556e2fe3, 0xe631bdc2,
+    0xfad81b3d, 0x52d9bebc, 0x98575306, 0x34d8e57c, 0xe63efcf8, 0xc33f51fd, 0x93f7ae84, 0xe30b5020,
+    0x65c1fce7, 0xbb7c2951, 0x52816e33, 0xe53251ca, 0xa2afe5da, 0x5bfe1e5f, 0xbb372a20, 0xae33cf4c,
+    0x48e98d83, 0x7e138877, 0x22fa371f, 0xcd2779ef, 0x4b21c030, 0x369671f1, 0x8b5c75ac, 0x30b5fb08,
+    0xe1215067, 0x12cf7ed9, 0x11539433, 0x4d103b6f, 0x0119d1f1, 0x3084c8c3, 0xd9e8de80, 0x0f88b3bd,
+    0xa7b04f47, 0x73022c22, 0x341b99e1, 0x637c45a6, 0x3c8e5834, 0x021845f5, 0x70957856, 0x6b6f8f78,
+    0x5dfea175, 0x83353651, 0x86e28dd4, 0xbb23b220, 0x863bafc8, 0x295ae86b, 0x8a65928a, 0x4c821b71,
+    0x3e347e76, 0x6b2b1e74, 0x8266ed94, 0x08820780, 0x4a41a50e, 0xb23582a4, 0x9c651b44, 0xd66a1df2,
+    0x26ee159c, 0x4a1d23f0, 0xb10fad2f, 0x814de990, 0xfd68c384, 0x998d9301, 0xb307cb84, 0xba16f5b8,
+    0x4460207f, 0x563a5143, 0x6e60eebb, 0x88eb8dc6, 0x8478c10d, 0x0b8c997b, 0x0eb53491, 0xe7013e7b,
+    0x4c608c9d, 0x4a660bde, 0x2648293f, 0x585c5c14, 0x3b81d3e0, 0x1d9cbe20, 0x8a180e2f, 0x9bf408ef,
+    0xc43f6685, 0x2cc06f94, 0x72af43d1, 0xf66e5541, 0xdfc35860, 0x4ecc325f, 0xe163a05e, 0x9fafcfa0,
+    0x1aa631cf, 0x075aa390, 0xdfa74e91, 0xe7927fa5, 0x7ffae0ff, 0xd637ac06, 0x93cc9e61, 0xb41028fa,
+    0xefd59e99, 0xcfd220aa, 0x414ae834, 0xadb8ebc2, 0x3ceaaf40, 0xe96cfc50, 0x74948aa0, 0x68efe230,
+    0xd1798b46, 0x0acd2dc2, 0x6c2666fe, 0x3de5c8a2, 0x38f7865b, 0xd11c4e5e, 0x1ca7f939, 0xb776171f,
+    0xaa12ec9d, 0x92c7f1fa, 0x59e27142, 0xda929a41, 0x8c7d1d54, 0xf211ab50, 0x826d5943, 0x7394ac31,
+    0x2fa0d4c4, 0xc89444ca, 0x70fdd70a, 0x9d76e939, 0x719eb0a5, 0x3c0a48a6, 0x33a1dde3, 0x338b20b7,
+    0xf2778cea, 0x9ecb5306, 0x47caee24, 0xbb54a186, 0x234ee790, 0x1daf7594, 0x7a4fb0b7, 0xa416ef8d,
+    0x0efd55bc, 0xeaf74a3b, 0xd94cac53, 0x19fa6f91, 0x0ad04d98, 0xd1e49e01, 0xb48f9a58, 0x334c3272,
+    0xdc2595c0, 0x53e43e1e, 0x175a9db0, 0x40996310, 0x57cd497a, 0x6b2344f7, 0x14fccb46, 0xf6fd33c0,
+    0x4a82daeb, 0xb746216c, 0xa464a9af, 0x86873176, 0x72b80640, 0xae67e8d1, 0xe94bfd7f, 0x6d84611b,
+    0x4c324a60, 0xdedeb22e, 0xfb120d4a, 0xbacbf4f8, 0x818897b3, 0x95561821, 0x818fc8e0, 0x4e1386a3,
+    0xaea1a9d8, 0x56add8c7, 0xcf903aab, 0xe9850387, 0xe68f1bde, 0x05a35872, 0x133ecb0b, 0x14667006,
+    0xd1c1c650, 0xcae834ed, 0x97a1fc17, 0xe085e3b3, 0x82e5d359, 0xdba8cbf6, 0xe98d0dd6, 0xff43f2fd,
+    0x42bffa40, 0x55865240, 0xa157d9b1, 0x35188b4f, 0x6097f894, 0xb9754994, 0xfc3022a4, 0xb29bce10,
+    0x93d41e36, 0x184541f1, 0x8bfab7c6, 0xec78e298, 0x9368c45f, 0x1006876f, 0x4c6e7e45, 0x0d68cea6,
+    0xaaf1250d, 0xb1c64be5, 0x48d1304c, 0x0883cb92, 0x54cc6b29, 0xe4d6e3e4, 0xac035af3, 0xe8e7434f,
+    0x47284fee, 0xe3eec992, 0xee00397a, 0x2765f7d0, 0x7d3d3e7c, 0x649a705f, 0xcdab6d95, 0x99575710,
+    0xb6bdea7b, 0x935e4c59, 0xb677d49f, 0x0a7f59bf, 0xbeaa39ef, 0x7336362f, 0x555b5c04, 0x733335d7,
+    0x4ce0558d, 0xb19e32f1, 0x993a2e0b, 0x914c70e5, 0x42c1e42f, 0x69712a00, 0x4fb2b61a, 0xc827055f,
+    0xa90b0798, 0xe7334130, 0xb1f60e16, 0x45f23d38, 0xa81d5c65, 0xea80c3a2, 0xae65cd27, 0x93b808a5,
+    0x883726fc, 0xcd340ce2, 0x84e8d94b, 0x3380ef48, 0x955dfd2a, 0x649acb0e, 0x601a1e2f, 0x1c694550,
+    0x1f6cca89, 0x66ba51b4, 0x7e8560d3, 0x2b209fcb, 0x9acfe095, 0x29dce9ed, 0x66502dfe, 0x91d8636c,
+    0x7efa2a51, 0x02cd9bc3, 0xad9baff0, 0xa925d0d6, 0x4b185dcd, 0x1656d06d, 0x14562240, 0x4b39fed9,
+    0x27cfa5e8, 0x1c8b9d61, 0xe21d2a0d, 0x503371fc, 0x2c60e53d, 0x847ef64f, 0xbf0a4f23, 0x31c89d51,
+    0x6406d73a, 0x82daa96c, 0xf2cf5691, 0x3ea8ef84, 0x823f7e16, 0x7f3e2743, 0x90252224, 0x2d8b9176,
+    0x31467880, 0x60395e1e, 0x583e5598, 0x10aed286, 0x48140e45, 0x5974b172, 0x751fd468, 0x9de69d0c,
+    0xc8cb5d2f, 0x8f252793, 0x65f4446e, 0xddd29230, 0x3ecbe4c2, 0xb144e7f8, 0x9db73cdf, 0x7cf5630c,
+    0xca40e114, 0xd1eb7029, 0x8ccac09f, 0x07db8125, 0x8b45b898, 0x269c90a2, 0xe54878a4, 0x8e0e747d,
+    0x84311fbf, 0xa35fade5, 0x53d3a924, 0x8b464222, 0x64f966a0, 0xfd6b74ab, 0xe43a0b0f, 0x9cc8981b,
+    0x5607513f, 0x67c327ad, 0xfd7223f1, 0x9c250012, 0x0cd6bb99, 0x38546fec, 0xfe0827d4, 0x59eed307,
+    0xfb999719, 0xbe991e7e, 0x2f3c67bf, 0xe2a1a1ce, 0xe0be2e52, 0x4b23448b, 0xf0f03a44, 0x78f1f84e,
+    0x58a704df, 0xd9f48e0f, 0x5acb1ad8, 0xdae35d52, 0x7cce5402, 0xe0940c35, 0x55417ef3, 0xbc6e5626,
+    0xcf8cd66d, 0x2608b682, 0x24695de0, 0xeac036b7, 0xcb9b6011, 0x081de859, 0x3b2cb12d, 0x8bed1aa7,
+    0xcc381efe, 0x5ddf789d, 0x259939ca, 0xf193b203, 0x133ea054, 0x6091f66c, 0xe310eeec, 0x6f716ec8,
+    0xfc9895fc, 0x62deeb68, 0x8b0b031d, 0x4a260bbb, 0xa75bed8c, 0x11e8156d, 0x6a12259e, 0x4ee9c131,
+    0xf5a607e9, 0x41a151d9, 0x5d436204, 0x7581b197, 0xe8f76a38, 0x4e7f9185, 0x6fcc7e90, 0x0a61470f,
+    0x90eeb747, 0xc3261849, 0x9136b7c2, 0x3befbf0d, 0x3c7b40d6, 0x658ccf93, 0xee4031e1, 0xfee3bd97,
+    0x71ae0e87, 0xef8acabc, 0x8d0bb97d, 0x45e4908c, 0xbe740d3e, 0x87b5f0ba, 0x6288e429, 0xc60ec961,
+    0xc1b84009, 0x2b9b7ddd, 0x70ff4f5d, 0xabc5be21, 0xffe24fc1, 0x825757b2, 0x3fa2b38d, 0x6d516d2f,
+    0xdbfa893a, 0x20c860af, 0x943ecd37, 0x149001d4, 0xda1405f4, 0x1add91fa, 0x439497fd, 0x68420814,
+    0x1b656a4a, 0x49cb799b, 0xa29a6084, 0x707bc5d3, 0xea9d9576, 0xd0097cb8, 0x13702f86, 0xf30b0ab2,
+    0xa219ef73, 0x769e4330, 0xc2661cc3, 0xdebe8fb2, 0xa6fd0a46, 0x0dc42172, 0x66eb8b75, 0x71668450,
+    0x8b1ab486, 0x9cbc49b5, 0xba045219, 0x385439fb, 0xbacac2c8, 0xf8313166, 0xdea929d6, 0xf8574d32,
+    0xcfe838cf, 0xca68b596, 0xe5c7c117, 0x61a57b5d, 0x60bf1c86, 0x4e0050c7, 0x71b78b8e, 0xfedbdaa6,
+    0xe8d0960c, 0x14a51907, 0xc63b52ca, 0x7198cbc7, 0xa94f1f47, 0xbfd50e0a, 0x6a9a7c56, 0x7f3f638e,
+    0x77526c10, 0x06d12945, 0x3306bf6b, 0x44284bad, 0x5f3d61d8, 0x8f8481f1, 0x5ab8913f, 0x9b6c790a,
+    0x04826e42, 0x60176a0d, 0x5eb99ef4, 0x5f02051b, 0x711e9b5a, 0x8de635d4, 0x85486fb6, 0xb9a429a3,
+    0xc4abc91f, 0x545a4a67, 0x98430a10, 0x35b28166, 0x5375610e, 0xe94c8aa9, 0xaa3acef3, 0xb751c613,
+    0xdc4713aa, 0xfa75f88b, 0x3815dd28, 0x11828e19, 0xb37b1ad3, 0xcd326b96, 0x33490fa7, 0xa712a1e0,
+    0x5797d970, 0xc616a93b, 0xe67b8e91, 0x02cc8c0f, 0x00a834cb, 0x771d4a94, 0x47ba301d, 0x9c45fa3b,
+    0xa56f40f9, 0x7940a204, 0x7f16b0ad, 0x7f253571, 0x6f527199, 0x3e040be8, 0x63531f7e, 0xa67cd878,
+    0x0be4639c, 0xf05e6675, 0x9abf0778, 0xbde774e9, 0x91b90b0d, 0xb3810513, 0x6e2cf764, 0xe95a0d9c,
+    0xd377d4e0, 0xf0a88c43, 0xdecc9ef0, 0xfa676b8a, 0x7303bf34, 0x9c54942b, 0x401a3bde, 0x8bc9fbc0,
+    0x19dd4aa3, 0xf06d9673, 0xbabd7855, 0xbaa88b84, 0x5324eacc, 0x7fbc9df9, 0x08827977, 0x6699c8ac,
+    0xaf8bb9e1, 0xad91c413, 0xaa9eabf3, 0x667a8be4, 0x36667869, 0xb9e78c5d, 0x85d17b6a, 0xf610678c,
+    0x662566d2, 0x65a4d638, 0x17d42a46, 0xeeb1644c, 0x8bab49d3, 0xd662b402, 0x9742b82d, 0x66a1d6c1,
+    0x3a437554, 0xa89877f0, 0x7e87ac09, 0x4fa149d4, 0x8808cead, 0xd4373358, 0x0d1a2015, 0x9784827c,
+    0x125e195f, 0x603a36fa, 0x50a10e1c, 0x5b23f699, 0xdd09e79b, 0xaebf105b, 0x3fa0d824, 0x11c611a2,
+    0x4d29f038, 0x2c233c3f, 0x63ba91c4, 0x2e50a87d, 0x2a50debd, 0x2bdc3dd9, 0x32cf8f96, 0xa6b9e687,
+    0x800ffb3e, 0xaefc28a9, 0xf2d3f21e, 0x964d92db, 0xbe4ea5cf, 0x37bda58c, 0x623feab4, 0xe18c0a57,
+    0x0f07252c, 0xf5b7cc8b, 0xdccff2bf, 0xfb8124c3, 0xdcd831f6, 0xabbe0ce1, 0x5b8d4408, 0x34d354ee,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000002371\
+                          42198758023568227473377297792835283496928595231875152809132048206089502588928 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6,
+    0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d1, 0x87a62f98,
+    0x00000000,
+    0xcd9703be, 0x41ff4a7a, 0x6334ff8e, 0xb07481f5, 0x9ff3ecb6, 0xa494ba2d, 0x89bd9a48, 0x26a43a88,
+    0xad6050d4, 0x941a9021, 0x21149fdd, 0xe8dca749, 0x63cf50b4, 0xac75eab4, 0xd7c67ec2, 0x8d94ff83,
+    0x1e45e48c, 0xe2236e56, 0x539019c7, 0xcacdd09a, 0x4b2f643c, 0xb18f97e4, 0x2fbf2d7a, 0x96cb469e,
+    0xf66d18dc, 0x80310044, 0x33ce2f78, 0x5cf0b26a, 0xcd5fdfbf, 0x864a296f, 0x34b27e40, 0x8420fe67,
+    0xcbf68ee4, 0xddbf0c0f, 0x9d67638c, 0xb552af3a, 0xdc476c4b, 0xf3b10391, 0x125753e1, 0xabdb3468,
+    0xd8e26fa5, 0x4c7a829c, 0x54ec4b8d, 0xc7f04ca1, 0x4f869a59, 0xedd2fa53, 0xca9746d5, 0x4833a7de,
+    0x818c7e9a, 0xe13f2c5a, 0x75086d8f, 0xab24627a, 0xb6a75543, 0x6e211802, 0xe674a3b9, 0xb102bab6,
+    0xb72cc8f4, 0x1dcee796, 0xd25f2de9, 0xc67b7d16, 0xeb40c4c5, 0x1200555b, 0x26e49d11, 0x91417b86,
+    0x343cc69a, 0x6ae777cf, 0x5747cc70, 0x26d57386, 0x7ad79960, 0xfdfd8cf6, 0x82e02c5b, 0x56d82951,
+    0x2c060b6e, 0x2b224448, 0x3ab421a0, 0x4cb34921, 0x971f56ec, 0x74ad8b1b, 0xe89d0414, 0x391b735e,
+    0xb93593e1, 0x6dc5fb65, 0xa767c476, 0xe33bbf0b, 0xf6b0e39f, 0x5052c1d4, 0x22b07cd4, 0x026876ed,
+    0xb9d888c2, 0x931fbcdf, 0x6da0b79a, 0x1c04c74f, 0xcc58e944, 0x44cdca05, 0x62bb61a3, 0xb0af2ff2,
+    0x156dc5d9, 0x8ea179d8, 0x0e721fe0, 0xa063a86a, 0x90961772, 0x6f9c8302, 0xfe6a7959, 0xc13fb871,
+    0x540929bf, 0xf10c97f0, 0xa8d61572, 0x68e2d04d, 0x9b08bcad, 0x16f4e796, 0x3933d0a9, 0x4624dc70,
+    0x455541ee, 0x0fd67eaa, 0xd93ff8fc, 0x1fe04583, 0x14ff663a, 0x2791bbff, 0xc92a7292, 0xfbdde1e7,
+    0x0b2be369, 0x33f323ad, 0xcbbadf4d, 0x7f69f0fd, 0xdccca465, 0xfabd5d91, 0xf2e77917, 0xb54a2fce,
+    0x8fafdb92, 0x683fefa9, 0xc4b86284, 0xdb345efb, 0x6eacec83, 0xd533a6a3, 0xf1b23c18, 0x27026939,
+    0x2a18269c, 0xc6ecd8fe, 0xf339d602, 0x59290190, 0x4863d4ce, 0xdbdb1d74, 0x81dc1602, 0xf6245144,
+    0xb3a53da0, 0xea1669d1, 0xef444e18, 0x0696f5eb, 0xb68d1c8f, 0x0b5a66fc, 0xceeab5de, 0x80c6259a,
+    0xa223103d, 0x2191c101, 0x05ef97ea, 0x2462d274, 0x49c11f17, 0x8355d459, 0xd47feddd, 0x8aacbea2,
+    0xacfbda47, 0x3d50a47c, 0x85da6880, 0x4f338f32, 0x58de154e, 0x5c5c2181, 0xaf5787e1, 0x0f2dd663,
+    0xbe1473db, 0xabf5c0d5, 0x8d92efaa, 0xbf136ee2, 0x409e986b, 0x720519de, 0x075644b7, 0xf90aea60,
+    0xbc600169, 0x4c125fc1, 0x4525b037, 0x47ccbc02, 0x6c7da111, 0x8b036126, 0x71b59b5c, 0x8a4effa8,
+    0xa4a5c98c, 0x5b2a9ca0, 0x12d8305c, 0xb6e88d24, 0x961935d9, 0xfefbd50b, 0x0d2ccf49, 0x1ce33cd6,
+    0x2691d92b, 0x7d60e89c, 0x1ba5606e, 0xc0c5e440, 0xb63b1d66, 0x4464cc60, 0x2b0178b8, 0x7490ffa1,
+    0x9cd978a3, 0xe4da81e2, 0x2f58e2a4, 0x5bcd94ab, 0x76ecdd37, 0x3f5f76ab, 0x042e11c5, 0x5f0131de,
+    0x36ef843d, 0xe770b1cc, 0x769b9acf, 0xbf4b33a4, 0x65003f94, 0x53ccad24, 0x86663405, 0x784788e2,
+    0x2ab25965, 0x9af5e9cc, 0x3ab44ad4, 0xf9acd0ad, 0x893f1b07, 0x53fb5bdb, 0xbbdbc4e2, 0x0b5b2588,
+    0xa3e87293, 0x6e70cbb8, 0xd95e4eda, 0xa92c2ea2, 0x0913a524, 0x785df59b, 0x63bf55db, 0xe05ef3ff,
+    0xbb29ad16, 0x2ffccc97, 0xc67a84b8, 0x9b10f561, 0xecb4a42a, 0x4fb542ac, 0x0281d932, 0xe7f94b36,
+    0xcef79c24, 0x8436f299, 0xa87388f4, 0x56323da5, 0x6f26e84b, 0x8cea314a, 0xd48c0857, 0xfdbc266d,
+    0x87dc7465, 0xf8521f57, 0xe4826deb, 0xe4e2dfd8, 0xf5fa4dc9, 0xeeb9325c, 0x46a1b83c, 0x1e567ce4,
+    0x5982ff7b, 0x3ea775cb, 0xf5d717bb, 0x7a208e51, 0x65d5b689, 0x1bb737bb, 0xfed200e0, 0x3348948b,
+    0x4459bf2d, 0xd85171ac, 0x0ea0012f, 0xbaf9a4da, 0x1f8ba4f2, 0x8e6805fc, 0xf3498cf1, 0xc2659777,
+    0x46099d08, 0x26f608f4, 0xc3a4a049, 0x9caa580f, 0x804ded8b, 0x7072005d, 0xfe3f1460, 0x8b625874,
+    0xf4e8247f, 0xcd2cbca9, 0x2f7743c8, 0x046561e7, 0x921c895e, 0xd579f678, 0x51263065, 0xe5844c54,
+    0xb3b54d32, 0x7677651a, 0x2b080679, 0xdfa792d6, 0xd7c85d59, 0x977b5429, 0x1274dd9f, 0x008cc5e5,
+    0x2e79c928, 0xeb1615de, 0x58b25179, 0x6c4562cf, 0x1193fc4f, 0x6a025540, 0x2c4efaa7, 0x3a5bce00,
+    0xc84606d3, 0xd18f7ad5, 0x0ce3330c, 0xacb302c0, 0xcd5df945, 0x340e988d, 0xefd1ec6a, 0xf0267b47,
+    0xc79a3e00, 0x751d7a9f, 0x094bd80a, 0x7137bf00, 0x66beaa19, 0x41de005b, 0xbdc052eb, 0xb7c23a4c,
+    0x2192d71c, 0x2826bd7c, 0x605b9104, 0xa2cae9ed, 0x285987be, 0x84e624c4, 0x73a59429, 0x319d6075,
+    0x80c137db, 0x2b1f761c, 0x4b4d7acc, 0x5171e286, 0x7eb790d3, 0xbe6a8d1c, 0xeb8b7843, 0x205e58d3,
+    0xd271b0cb, 0x09565f81, 0x6dd6ba9a, 0x00274738, 0x76ddd25d, 0x02123bb4, 0x67597998, 0x0d91a52e,
+    0x151e8a98, 0xce60143e, 0x7d5c7d91, 0x032622ec, 0x58420818, 0xda5c90a1, 0xfb4e9f4f, 0x8b587f96,
+    0x3c46c4ca, 0x3af034ef, 0xf7f4cda8, 0x9771e400, 0x3942dbab, 0x733819c8, 0x6b6fe162, 0x894ada5b,
+    0x4e6c49e4, 0x2f0324af, 0xc99210a7, 0x020e8ea9, 0x96a3b75d, 0x097edee7, 0x1f376b1d, 0x8e852e30,
+    0x73c73bd1, 0x812fbe53, 0x2f13a90e, 0xb46c5ccd, 0xc2fa3e87, 0x493aa108, 0xa1b37cc1, 0x477b357d,
+    0xd7a3ddd2, 0x2bea839e, 0xfb1e30ee, 0x03bedd80, 0xf65fc47d, 0x1592f4db, 0x8309c027, 0x333cf404,
+    0x31fd65c1, 0x42cd2b7b, 0x838044f4, 0xa0a8dfde, 0x5bb70f21, 0x4482f401, 0xbee3c84e, 0xf6cba52d,
+    0x0e49c574, 0xcc6571a6, 0x8ec4caf0, 0xa544d588, 0x35bb413d, 0xc2c790cb, 0x05e86885, 0xc96c00f7,
+    0x212bf36c, 0x184cddc6, 0xe689e8e2, 0x3014c6e7, 0x3ef37fee, 0x6e901da2, 0xe28f9730, 0x5d0a7dfb,
+    0x37045ac1, 0x784e8f65, 0x1aa2d1ad, 0xaa5e2b1e, 0x96298f76, 0xf48ece54, 0x4a97d29d, 0xe1dad9cb,
+    0xc47af8b3, 0x1538a9b8, 0xd93a88d0, 0x9bdd2f81, 0x92a0a1f0, 0x0da3c211, 0x108468c6, 0x15ff0157,
+    0xbc6f748e, 0x4d875c7f, 0x8ef78f58, 0x19ecd00a, 0x533be6e5, 0x4b1a7e6c, 0x01752b35, 0x57dbbc0b,
+    0x47cbc099, 0xc3bafd0c, 0xc11ca175, 0xb399a4ea, 0xcecdd7bb, 0x59ddea7c, 0x6a7d3d6b, 0x009be94d,
+    0x7a89854b, 0x6b908e32, 0x71f3b64b, 0xe1c6b15b, 0x2d945556, 0x92deda95, 0x10b70a81, 0xa063a1d1,
+    0xfc587179, 0x79276936, 0x1e779fa8, 0x8e4b356d, 0x76a1d2a6, 0x1c79c4e0, 0x0856c4ac, 0xf33fa0c7,
+    0xdd5f901e, 0x2a678527, 0xd672106c, 0x5dd9d4cb, 0xe6d299a6, 0xf8745a0a, 0x31803ba9, 0x7dffc18c,
+    0x3353f8d9, 0xd431caae, 0x1ca2d4fc, 0x045dfb5a, 0x47bdb433, 0xb0d6ccba, 0x35f3be21, 0x838538a1,
+    0xd7c89ffa, 0x0dc5ed92, 0x24b910c3, 0x89e0587e, 0xa89ab531, 0xe6dfacb0, 0x544c3b5c, 0xa6333707,
+    0xc21c092b, 0xedebb0bf, 0x0d82491e, 0xd0108c59, 0x6a95c613, 0x83e33721, 0x19cfb132, 0x82879003,
+    0x3df31db3, 0x08d534e4, 0x477f99e0, 0xe71a52e8, 0x19f9378b, 0x64acaf37, 0xb5280a72, 0x79d1fd68,
+    0x0b0fbd3d, 0xe28effe9, 0xc7cb4ee9, 0x777742a0, 0xa47f0813, 0x914afb4d, 0xfcc4e752, 0x2293db4d,
+    0xf2ac8574, 0x7447c156, 0xb6f661ab, 0x0238d136, 0xa45c9e16, 0x6aff8968, 0x42ab1f65, 0xf2695339,
+    0x03a3f349, 0xc392c610, 0xe1ad9a7b, 0xc9b0ba02, 0x65a007ef, 0x94df5fa7, 0xcc9e4ea9, 0xc008e2d5,
+    0xa6627c80, 0xcfa9c857, 0x97ba934b, 0x1864da6a, 0xda7c362f, 0x85b65122, 0x312cca04, 0xa9accda3,
+    0x63c270d3, 0xa089d19b, 0xa4d420bb, 0x4c53a684, 0x62a05954, 0x56a19a9d, 0xbb997dd4, 0xd21acfea,
+    0x04fa954a, 0xba1b9e12, 0x3772221a, 0x0cfbf693, 0x224ca274, 0x8a0770e5, 0x2f53369e, 0x3fc2a362,
+    0xff260fe3, 0x4613bec3, 0xe5ab4a31, 0xd1db4791, 0x7d8da13a, 0xe6f4ae37, 0x2663ecf4, 0xa00fbd5b,
+    0x102ca54e, 0x4ccb4b78, 0x8667d7dd, 0x816b467f, 0xb2dba800, 0x86a6b981, 0x4b88c4aa, 0x3660638e,
+    0x9ccc76e0, 0x3a1bcb36, 0x993f9bea, 0xc0022e39, 0x78d9980a, 0x968d2e02, 0x937aa547, 0xaac55ad6,
+    0x97b49e3c, 0x9a0a61d2, 0xf790c1c4, 0x6275dfe1, 0x17938f5d, 0x6882870a, 0xc51406b0, 0x7eb02974,
+    0xc54a22c4, 0xec1ed39a, 0xd5003a1d, 0x9ae27d71, 0xa76f7efb, 0xc9b473db, 0x20bb272f, 0xc7da4003,
+    0x52f9afe1, 0x51a9a4a8, 0x4fc811b4, 0xbe4a0132, 0x2bdd0ec6, 0xe9343d89, 0x2a505294, 0xe19c7a1b,
+    0x168edef2, 0xda86b2eb, 0x27df7715, 0xfd41bcba, 0x108f50ad, 0xa9ed06b3, 0xc6570fe1, 0xb566beff,
+    0xd1cf87df, 0x79f30d70, 0x6ddaeaa5, 0xd3b4e6fd, 0x996d3114, 0x2060657a, 0x91895e85, 0x8e9f8185,
+    0xdc875e58, 0x8d8c80de, 0xc03c8cfe, 0xca16953f, 0xec94e475, 0x3613a9a5, 0x380f07ba, 0x5ab577c3,
+    0x0b296038, 0x200954be, 0x65b08516, 0x05c4a5d7, 0x4069043e, 0x16a1b592, 0x901f40fb, 0xa002a14f,
+    0xe360fc12, 0xa6a2a141, 0x475418c0, 0x296d95a9, 0xbde13a3d, 0x7a7c86a4, 0xf04c3dfe, 0x03f94204,
+    0x72eec67c, 0x320a5241, 0x128fa5ad, 0x718a57d6, 0x2a4703cd, 0x1fe62413, 0x6fbb9120, 0xb78ceecc,
+    0x1e120108, 0x6b4f3a9e, 0x501bf659, 0x69d28758, 0xcb67d181, 0xfd2958eb, 0x1c2f7711, 0x407b5b53,
+    0xa04fee93, 0xe08b6f19, 0x75913b7c, 0xfdbe869e, 0x740b2440, 0x86a8e4e3, 0xb380c4d7, 0xda93485d,
+    0x498db26d, 0x40c4d5cf, 0xffef9738, 0x025482cd, 0x53d930c2, 0x77123a5b, 0x4af5efc0, 0xda549ae5,
+    0x73e7bcfd, 0xd2d7d537, 0x100c4396, 0xe91f7416, 0x188074f7, 0x198b929a, 0x46b8babb, 0x5d981c0a,
+    0xe9d0b620, 0x13b50abd, 0xaf617f66, 0xd641f5ec, 0xe2e3701a, 0xe1de6e4e, 0xd56fde46, 0x5ca09a8a,
+    0x47b47977, 0x3c3ea4bc, 0xac8b69e9, 0x8d549747, 0xdb93ecc4, 0x0b4f7081, 0x4ae9fa5a, 0x4ca4231b,
+    0xd0d1fa4c, 0xac3a59e9, 0x543ad404, 0x0ecd82f1, 0x014ac6e6, 0x0f28e7c9, 0xa862e70e, 0xbdeec48e,
+    0x843a78f4, 0xf63cfe89, 0xe6179933, 0x5b6a8d9f, 0xc103ae1e, 0x591c3b76, 0xbdb65f79, 0x2c007f3f,
+    0x286d5d8a, 0x4a41f28b, 0x24a38db0, 0x4f8bb1c4, 0x06c58df1, 0xfd702a5c, 0xf1415be2, 0xdbcff844,
+    0xfa693a6e, 0x129bde59, 0xf1996702, 0x38f2bcb7, 0x290e7dce, 0x972ac98e, 0x9f7c7695, 0x2daac3ed,
+    0x0a12de37, 0xc7a44065, 0xce7f044e, 0xcedbfaf5, 0x0eb7c8dd, 0x62814da7, 0x5f954f0f, 0xf0b0eba3,
+    0xcc9cdc1f, 0x05deabfa, 0x10ecb7b3, 0xaa894a7e, 0xf1a2104a, 0x3d047313, 0xb4863a87, 0xe502dc2c,
+    0xacaaec65, 0xf209eb5c, 0x4ad2e10b, 0xbf3c1cf1, 0xc42d50ac, 0xeacc4b34, 0x785a7ee4, 0xa8dd1cbd,
+    0xd7a09641, 0xbe5a5f70, 0x9d2babca, 0x8c916c7b, 0x98b699f5, 0x02bef3c9, 0x5076ee36, 0x90dd3712,
+    0x5561e92e, 0x0968a8fc, 0xf911ea9c, 0x5e22be39, 0x8c996a5b, 0x27a250d1, 0xd4fdc117, 0x85b701de,
+    0x6a765214, 0x04dbd59c, 0xfc9f3324, 0xd99c180c, 0xc7dcf1a3, 0xa98430a3, 0x14866a7d, 0xd5d9aed4,
+    0xd43c8c9b, 0x24728ca0, 0x7711deae, 0xd69de06c, 0x2220c02c, 0x42e0449d, 0x2c601c8f, 0xf6d0d856,
+    0xd13a9acc, 0x82f8b3ec, 0xfdd75a33, 0xcff30fac, 0xb2eea659, 0x8a811d0e, 0xfde65953, 0xa806d2fe,
+    0x502ae5b6, 0x161d5321, 0xcacb3545, 0x784cef0c, 0x971fc1d3, 0xaf0967d0, 0x1f7d142e, 0xe8eeb278,
+    0x61792c3d, 0x220721b8, 0x85896398, 0x964952cb, 0x51d9158c, 0xcff3ab8c, 0x4a8d469a, 0x2a61dfbb,
+    0x74690eac, 0x32a2e231, 0x7725c986, 0x988751ac, 0x10d9b268, 0xefffc3f3, 0xb93cf402, 0x136777fb,
+    0x8f01c763, 0x4e700505, 0x8e7eb066, 0x25c968f3, 0xd3591f87, 0xe272099f, 0x26f1bad1, 0x255eaa90,
+    0xbaa85aa0, 0xb020679d, 0xf214246b, 0xb27d81fc, 0x3b06e131, 0x6098fbe5, 0x0b02e2e9, 0x14473e9d,
+    0x6e5187f4, 0xdef6fea4, 0x2a1cf411, 0x4b4ad71d, 0x8822aa83, 0x1f8b3fa8, 0x5cbef773, 0x2c47a7f9,
+    0x957b4a05, 0xb12a5e05, 0xb27e9c31, 0x8ecfd433, 0x4636cf7d, 0xd3a98220, 0x80cf7053, 0xa41fc4c9,
+    0xda248b41, 0x5ce4dd95, 0x15028c34, 0x5fdb2409, 0xde059156, 0x16be2af9, 0x1a8b606a, 0x872e2de8,
+    0x9ae4eebb, 0x327db069, 0xa34c3530, 0x83cf1bfa, 0xdbd6425b, 0x18344b5d, 0xa1778396, 0x09998ff9,
+    0x76e71420, 0x8f674e93, 0x6e7b5a69, 0xa6f10205, 0x1a65fd04, 0xfe1f7a08, 0x89ff8621, 0xd84c5d35,
+    0x8c2e8688, 0xf3e92ced, 0xd40448cb, 0xd35b66a4, 0xbd7eaba7, 0x9a0969e2, 0x44f19ece, 0x259bfcb3,
+    0xb841b05c, 0x7180551a, 0x2dede8e1, 0x9d34d44c, 0x874b2d73, 0x2a8e17a1, 0xe846637f, 0x3210bdd7,
+    0xe31ee33a, 0x10df7cf6, 0x786ae51c, 0x86410f79, 0x23732152, 0x199e7f2d, 0x2e3a4a0c, 0x7b4601eb,
+    0xbef77e44, 0x5440f5b9, 0xb44a4e58, 0x0686cd83, 0xafdf2fc2, 0x3e1f4b57, 0xdc49913e, 0xddd466c2,
+    0xc66d5e3d, 0x9ca9ad39, 0xc8bbe463, 0xfa9acf8f, 0x7e3b5ceb, 0xc19094c7, 0x187376f7, 0x4a30b53a,
+    0x09c2ca09, 0x6491d717, 0x881b6527, 0xca856029, 0xcd3f3f6e, 0x1ad397fa, 0xcc07ff53, 0x73b58aaa,
+    0x29d1cad5, 0xa3dd6cf1, 0xeb114a6f, 0x34dd3214, 0x07b41104, 0x7db1e6ee, 0xe4cf713f, 0x7d416416,
+    0x68b3708d, 0x01dc5587, 0xba71c179, 0x8520ded4, 0x10f00e73, 0xaa51c308, 0x741e47f6, 0x529b160f,
+    0x6fae5c85, 0x868b5f97, 0xc65dbe27, 0x01e8124a, 0x2683c12f, 0x70b6f34c, 0xe7bf9d3f, 0x9915ded2,
+    0x839d3da8, 0x6bf3d4b6, 0xac16123d, 0x96d5776d, 0xf8573b49, 0x9758357c, 0x175b2acd, 0x3dcd9519,
+    0x77431f5f, 0x2fa04109, 0xdd1336b9, 0x4b096f8f, 0x68aa3a6e, 0x3bf1ec22, 0x7df6d2c6, 0xa25257cf,
+    0xacf61367, 0xa3c4775f, 0x22b99802, 0x8d5cefa2, 0xa843318f, 0x5af495d8, 0xa190668e, 0x78af3d52,
+    0x3bcef2c4, 0xf53e2bc1, 0xd790d3ee, 0xa12102c2, 0xd3cf89c0, 0x00de52de, 0x20249dae, 0xcea21a95,
+    0x9a440e09, 0x8fd75b04, 0x02a34c0a, 0x503b2f11, 0x9b8c96af, 0x942f5311, 0x55befd24, 0xc9c4d3f4,
+    0x75ba24d1, 0xa2b8252b, 0x05052ea9, 0xd6fdf9a2, 0xd89b4c29, 0x328c0432, 0x91adf7fc, 0x56e90750,
+    0x470f4fa4, 0xb5140172, 0xd8180b7c, 0xf86eb6f9, 0x536f3cc3, 0x2eac5cc3, 0x3c0931a8, 0xc6251a09,
+    0x2de84491, 0x3265867f, 0xd4ee1875, 0x3caff3cd, 0xc200cce3, 0x1ba32f86, 0xeca73fd2, 0x71926604,
+    0x03469178, 0x14c7b66c, 0x8f5ef005, 0xe082ab77, 0x8c210ba7, 0x8c19871d, 0xea01575c, 0xff25045b,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000001185\
+                          71099379011784113736688648896417641748464297615937576404566024103044751294464 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b,
+    0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe8, 0xc3d317cb,
+    0x00000000,
+    0xe56a1cee, 0x4618bc4d, 0x7c74ffff, 0xb2e5d83c, 0x490d51ba, 0x04543bf6, 0x54bf5e29, 0x33c426df,
+    0x91f5f63f, 0xa24ebe3e, 0xbc1219b9, 0x8c312318, 0x881eaf25, 0x5beff461, 0x9e1e4a5a, 0x1c7c12d6,
+    0x797bd7d3, 0x74507659, 0x36065151, 0x9ebfdceb, 0xe109afa8, 0x43530142, 0xba907906, 0xfdfc2aa6,
+    0x571a7cc9, 0x9feccd05, 0x35ccf07c, 0x0ce4f2ae, 0x5ef56d8d, 0x5adc8920, 0x77c0f923, 0x55b6b82a,
+    0x4f24ca25, 0xdd51963b, 0xd5f03c68, 0xaf824afc, 0x2085d233, 0x50e0c7a0, 0x4f868699, 0x21b15fef,
+    0xdc239ecb, 0x2bef3b5d, 0x0c4c3152, 0x8c77499a, 0x0c847e6d, 0x7e99e1b2, 0x1968e96e, 0x36e09dbf,
+    0xc83df42d, 0xc140204b, 0xbf37c9b0, 0x58768d9e, 0x5c0b5bb7, 0xe98248b6, 0x7bd93213, 0xce3a2fa1,
+    0x3530c462, 0x434b936f, 0x6cc24959, 0x2a7a6675, 0x83ff3f7e, 0x50bbf105, 0x9b015993, 0xcf0e0d71,
+    0x968d4323, 0xc02bb2c5, 0x588ff1f2, 0xc1978085, 0xc005c249, 0x35848808, 0x341e8e8f, 0x97bac136,
+    0x5985c4c9, 0xec1d6a8f, 0x483eb2e3, 0x728fca49, 0x89580d5c, 0xf89caa48, 0x9f6cef8a, 0x188021a8,
+    0x83073d3c, 0x4ec92cad, 0x10fd4f25, 0x3ebec30b, 0xb9ad5a15, 0xe6fc8319, 0xd14e539b, 0xcd139531,
+    0x0db09725, 0xad3e9f54, 0x5312e39d, 0x50a72a39, 0xff5a4e35, 0xa9568db5, 0x1abb2bf6, 0x7d285f63,
+    0x0249e6d0, 0x21dfa762, 0x4a8619c1, 0x4358ddeb, 0xc74b05f5, 0x454cbe58, 0x50911af5, 0xe44d9f57,
+    0xa344180e, 0x586958c6, 0x457bcff6, 0xfa3318c4, 0x3b6e8cbf, 0x0f9f7b0b, 0x66cd95c3, 0x478c2aec,
+    0x781c321b, 0x9bbbedb7, 0xaba3c543, 0xe046bdc4, 0xd83287b1, 0x1a8d31a2, 0x6fe159d7, 0x6b85b5b1,
+    0x624aa75f, 0x375350d4, 0xd2128406, 0xed2a5cdb, 0x46ab8c37, 0x2775a548, 0xb95a721c, 0x968d8ef2,
+    0x29614d3e, 0xe8863220, 0xa708ec7c, 0xbbe6381f, 0x12b7f3a1, 0xf323a519, 0x47cd65d2, 0x562960c1,
+    0xc6a0ee16, 0xdf12dc6b, 0x4ab03837, 0x34b3d511, 0xd5fd2577, 0xaf9a8365, 0xa31c6518, 0xfe445f72,
+    0x491ee501, 0xc66b51a5, 0xac28c0ec, 0x901f5596, 0xad284877, 0xc1f27e11, 0x61dafd16, 0x2bb044b5,
+    0xacd94418, 0x8b3f315e, 0xa8e0b45c, 0x720621f1, 0x37eb6d4c, 0xd154719d, 0x16c95cfd, 0xd0e4a4b1,
+    0x59fa020e, 0x8fa98cb8, 0xac3c5e93, 0x09198ae1, 0x4b2c9568, 0x222ae05b, 0x17eb1a95, 0x5d776714,
+    0xd41ed891, 0x0c4779a4, 0x0271590d, 0xcb356628, 0x9aa67886, 0xb1b0b5f9, 0xa4d27e02, 0xcdc00f1d,
+    0x8fb10ece, 0xd08a1873, 0x6a959836, 0x224b627f, 0x85a8498e, 0x4c3a5f21, 0x4e1424d9, 0x0b2a7c29,
+    0xbee4ca29, 0x0d75d4e2, 0xfff8aa80, 0xbc3facdc, 0xe7ea04d5, 0xa1df37f7, 0xd5db7994, 0x11e827c4,
+    0x8e1197ab, 0xe82623e9, 0x68513cc2, 0xabb02cc5, 0x30998285, 0xcc16c7f8, 0x331a56b5, 0xf02fb4fb,
+    0xab2572ee, 0xc09a6865, 0x2872cc30, 0x7fc061ba, 0x15874385, 0xe4f7c0d7, 0x338e884e, 0x6f767f46,
+    0x7a0f3c6a, 0x59d3bb9a, 0xd76ee4e7, 0x96a2b762, 0xdbb6081e, 0x3b88e14a, 0x692644e3, 0x3885fc53,
+    0x6cc106d7, 0xb0c65eff, 0x56a9f64d, 0x8401a756, 0x018aa875, 0x53f5eaf1, 0x354635e2, 0xdc44b843,
+    0xf1b52d08, 0xc50747a0, 0x5cbf8627, 0xb9c689d2, 0x2bdb2a8c, 0xb2c22bd6, 0xfe907556, 0x6a6fa554,
+    0xe84190cc, 0x68e95523, 0xbdffcb55, 0xfad238cb, 0x4a657e75, 0xd38f2c2d, 0x8573c492, 0xd50039b0,
+    0xa254fd4f, 0xe08223e6, 0x3f33962f, 0x0abe9b16, 0x52bba029, 0x81650354, 0xae79e71c, 0x5720f2c9,
+    0x33bc6ebf, 0xa151a22c, 0x694c67dc, 0xa866281c, 0x01dc3847, 0x98f0ce0b, 0xdfc8d522, 0x8d83a5c7,
+    0x971c7da3, 0x795265c6, 0x99901f89, 0x1a6df1a2, 0xbe92dc14, 0x0f906e2f, 0xc069f3ad, 0xd14078da,
+    0x72f2d4b6, 0x7fd59df7, 0xa04e8fff, 0x79be06eb, 0x90ea3ca9, 0xc5443eb5, 0x34017c13, 0x60cf32cc,
+    0xa14d9ed4, 0xe7465abb, 0xd3d7c4b4, 0xc6b36fbe, 0x9201a306, 0x87883ad4, 0x36f9b7f5, 0x1cdb3d56,
+    0xe126a595, 0xa16d6a5b, 0x51c74bdd, 0x818d7f57, 0x6a5b2432, 0x561371be, 0x09dff176, 0x19dc0a81,
+    0x4ebbba26, 0x8eff4559, 0xe467e4e0, 0x465389fc, 0xdf2684fc, 0x5c62712d, 0x0febe587, 0x90447ba3,
+    0x3da46a2c, 0x08e67e5e, 0x39d76ea2, 0xc2c9c4f3, 0xef89c98b, 0xf6c06f58, 0xaab1d645, 0x18a4b1e9,
+    0x9fbead57, 0x5e66c060, 0x308e6c95, 0x1757ec87, 0x44d51020, 0xb914396f, 0x10a13423, 0xdff17ea5,
+    0xe8c73a59, 0x34145743, 0x74a2ac94, 0x44308e85, 0x13d5e872, 0x8e8a06f2, 0x2993fc44, 0xbf41dee8,
+    0xb0674157, 0x00d14ade, 0x44929bf4, 0x8976ffad, 0xa617a691, 0xf8e2b203, 0x7698dbf9, 0x62da3dfb,
+    0x35ccff1e, 0xca596f64, 0xcb100d00, 0xfe659288, 0x988c9eb0, 0x398d308b, 0x37823a78, 0x5e786597,
+    0xb1150ce5, 0x8696dfe1, 0x46902ff2, 0x623ba722, 0x6fbed578, 0xb501d6be, 0xc295275f, 0x91e8661f,
+    0xfa981b61, 0x05478b8a, 0x25f5b870, 0xdc6a6113, 0x52299cde, 0x9cfbb3b5, 0xcb5e257d, 0x539a5aa4,
+    0xa4dff469, 0xc6b0c847, 0xdeb7b45e, 0xe5342408, 0xb4bcebdb, 0xe18aba30, 0x4de0740b, 0xed04f8ac,
+    0x2765a16b, 0xb4dbd0ef, 0xe7d174b6, 0xf5f03054, 0xbff3ef78, 0xe776a4f4, 0xdf25754a, 0x896c7250,
+    0xbb9c3fd2, 0x0b46c284, 0xc08bf3c4, 0x926795f6, 0x35f61f8c, 0x8b6f6d3b, 0xe1f95e5f, 0x775ad150,
+    0xbf6ea2ed, 0xfeb3557c, 0x186c1902, 0xe7e609ce, 0x1b3b5603, 0xd68bad0a, 0xd780146c, 0x2e5f4e91,
+    0xd3a038a5, 0x00cfa7b6, 0x4a6a772a, 0x436dcf56, 0xd9fc31d5, 0x89a8d0aa, 0xec52fd0e, 0xc7b9e6eb,
+    0xbc4964ae, 0xdcfb63cf, 0x33d57736, 0x98bbef38, 0x6e28f3dc, 0x8b81c1a7, 0x9a283500, 0xef0256b3,
+    0x5cbb97e3, 0x1f90e179, 0xa53a7b49, 0xd12759b3, 0xb4a80e25, 0x9bf7c824, 0x78dd129a, 0x8d977c12,
+    0x8944879b, 0x3d0773a4, 0x5270f9d4, 0x591c2534, 0x642660ef, 0x2a5f49bd, 0x74271c22, 0x6db66082,
+    0x6cab5207, 0x38884541, 0xb1d5aace, 0xcf02daee, 0x2ea06ab2, 0x593b7822, 0xc81e3ff9, 0xf8bc5bf1,
+    0xadaae7ff, 0x27b3a4d9, 0xd43cf371, 0xbef4f2da, 0x81f0c4bd, 0x4fb9de63, 0xbcbb662d, 0xed68dff7,
+    0xb0ab35e3, 0xefc8ef14, 0xcddb28d1, 0x299b3ae2, 0xec6a9342, 0x9c2ca159, 0x277d3082, 0x24b06098,
+    0x9701c1f0, 0x3654f711, 0xb8205fac, 0xa0f6f0e5, 0xa1bc9572, 0xe12e4815, 0x0ae4d77d, 0xcc602bf0,
+    0xb4642330, 0x73bed9b8, 0xc632b6a2, 0xb9142a50, 0x4d5c670a, 0x59670d1a, 0x8b0dfeb1, 0x21c2cb1f,
+    0x72d9e7bd, 0xc633f9e1, 0x573f360e, 0xb7a93c63, 0x94f15fc5, 0xc411d831, 0x1294879e, 0x984c4a08,
+    0x60fc349f, 0x6bc8e551, 0xbb3879d1, 0x54a88c0c, 0x47d9c258, 0xac77672a, 0xfa5a15fe, 0xad95643c,
+    0x4ff90e9b, 0x7e0936f5, 0xd3793a94, 0x7955f68c, 0x8031dadf, 0x8d8ec612, 0x58720004, 0x80aa9e32,
+    0xeb314f42, 0x8acc0f91, 0x3114b475, 0x7e5a98a9, 0xc8c0e671, 0x7c8555a1, 0xfb34d64e, 0x5a3f9271,
+    0xee0e75b5, 0xa41b25ee, 0x5ff3d83f, 0x79289b09, 0x63fdf69b, 0xfb6a3cb1, 0x826a9a60, 0x1328ba49,
+    0x6877acbe, 0x7d9e601b, 0x3e3e42bd, 0x6f7bd23f, 0x164655de, 0xd60aac72, 0x8c124447, 0x5c6d812c,
+    0x84d1ec0a, 0xebffbeef, 0x8a12fd62, 0x97eecec1, 0x8a3dcf40, 0x7d502877, 0xd27f2667, 0x74852e51,
+    0x5a9b91cd, 0xcf68d782, 0x0a5ebf43, 0x35f07d0d, 0xe73d8311, 0x3de4bd78, 0xdc6c7e9b, 0x68298ebf,
+    0x6a8ef3f6, 0x37010eda, 0x682f5081, 0xf0262a62, 0x1daab283, 0x66e2ddfa, 0x84a7df99, 0xb45ae9a1,
+    0x063a4bf5, 0x80d10b21, 0x26bcddca, 0xea3ca288, 0x9fdcdddc, 0x1ae6d051, 0xf96fbeef, 0x94ec3bc4,
+    0x363ac5fa, 0xcdff6d9a, 0xb6154003, 0xa4951791, 0xf15b4705, 0x59165cbb, 0x16888fcf, 0xcd705e2a,
+    0xec3c7103, 0xf9a8a85a, 0xedfbb105, 0x728e2c41, 0xec2ab5f6, 0x5bd94849, 0x04cc41db, 0x5f2870e1,
+    0x7f73d7ac, 0xe5d45b6c, 0x5b8239a9, 0x4ec56515, 0x19c51e27, 0x3d93227d, 0x627bea87, 0x9db0e20b,
+    0x9de68755, 0xaf12d9ba, 0x9a87d1fe, 0xce2291bc, 0x30386864, 0xc29c1b85, 0xab2a8e5f, 0xe12d0fb9,
+    0x4a7e6ac5, 0xa1025a6a, 0x90743b9e, 0x599d469d, 0x915419c8, 0x40f60400, 0xaf7eaead, 0x54208c36,
+    0x9dd02fda, 0x13cd049e, 0x95bb0d78, 0xcffb5197, 0xab5147b9, 0xf2b519f9, 0x9c67b46a, 0xa3b1df1e,
+    0xf4ab6364, 0x528944ee, 0x1931bafe, 0xe14564b5, 0x85a1073a, 0xf9d0be83, 0xf5d21a1c, 0xd9c84972,
+    0xa9f3391f, 0x01b9d307, 0x534e4602, 0xa78109ed, 0xfd4a32de, 0x92d7ee5b, 0x2f410f8a, 0x24364959,
+    0x1973a44d, 0xf6c4c067, 0xf67e6717, 0x838d8777, 0x961803f2, 0x2b5f1c89, 0xcb3dc2d6, 0xae07d89a,
+    0x5a98a2e8, 0x4ed54546, 0xca6ca62d, 0xa686a925, 0x35936bca, 0xeb5e24e2, 0x7c09c208, 0x9672c0d3,
+    0x22f48700, 0x40832087, 0x520ffa04, 0x173cacab, 0xfeee2d36, 0xef163761, 0x14be692f, 0x097fceed,
+    0x0e14bc25, 0x7b01cbea, 0x53616c3c, 0xd23455d6, 0x98951f5d, 0x233a2b4a, 0x7edca10f, 0x45517d0a,
+    0xa7427c28, 0x1199b9fd, 0x92c86f92, 0x013d0cec, 0x9eafe993, 0x43ff054b, 0xb88211db, 0xa95f5cb8,
+    0x70f95257, 0xc46ccbd2, 0x10afaa9e, 0xda078936, 0x82089d8a, 0x4ebe4943, 0x020fb041, 0x766473fd,
+    0xee82b388, 0x233a05ca, 0x99ea691e, 0x04735577, 0xb69d71eb, 0x9cba381e, 0x440dc8b7, 0x68104565,
+    0x95ab9397, 0x481cd989, 0x8e174749, 0x8760755c, 0x1859ba29, 0x3ce4a66e, 0x69cf607f, 0x9e0e6d09,
+    0xfdb8c926, 0x4753d8ff, 0x86a37cf7, 0xedadbd5f, 0x9c4fb2ef, 0x4aae1c51, 0x91b08fac, 0x398d4ff7,
+    0xd22acb25, 0x82af5016, 0x58d2e534, 0x12dfcdd3, 0x3bb25a67, 0x211aa7b6, 0xf75a7c8b, 0x8b5b0cf5,
+    0xf3c323e7, 0xe41a8a33, 0xb410edd1, 0x00cd48dd, 0x863a5bc8, 0xf3050a08, 0xc876be18, 0x7370ef2b,
+    0x7c15adaa, 0xa800724e, 0x96882cd0, 0x167072d2, 0x37cded65, 0xfe581c95, 0x1d2d5572, 0x05a5f609,
+    0xbd198145, 0x6fb299bf, 0x935e767c, 0x0a06724b, 0xe1b67d9a, 0x8eb99cdb, 0x741adbd0, 0xaae751f6,
+    0x549d8252, 0x5639e16d, 0x8f6ce7aa, 0x04f26585, 0x25b1e1da, 0x602c3585, 0xa17fbb1a, 0xdb92f0a9,
+    0x6fb7ffe9, 0xf0c2070e, 0x281123ce, 0x35bbb7ef, 0xb747dcdc, 0x89261fd6, 0x6d746bc1, 0x20d5209f,
+    0x4761a60c, 0xd20da2b1, 0xe6bddafa, 0x23ff4e96, 0x62250c60, 0x4392bcc5, 0x8b9801fe, 0x9ec6b5bf,
+    0x91992a7f, 0x742b79a9, 0xa8e1ec6e, 0x761f1358, 0x730e2c99, 0x96dc909a, 0x00a263df, 0x0204c74a,
+    0x1a0b8e09, 0xf30689b0, 0xd55727a6, 0x3d2ceb84, 0x684ffd08, 0xe101447c, 0xdf74ce0f, 0xd768dda0,
+    0x6b71839c, 0x4c30ebd3, 0x328292ad, 0xf39fbe19, 0xc236eb7c, 0x854b2797, 0x56a3bebb, 0xdb142bfd,
+    0x9713ef49, 0xf3945f11, 0x81d06a9f, 0x087ffbe2, 0x97cdb5f9, 0xab979f72, 0xbf49b257, 0xeccf380b,
+    0x52a56743, 0x87bb46f3, 0x2d60970d, 0xc86f98a6, 0xc1d758a7, 0xd9dba614, 0x86c266ad, 0x389f750d,
+    0x0b694c32, 0x5845e3f4, 0x2a6241a9, 0xc1cf5ca9, 0xeead4cbe, 0x8883e975, 0x3ba70481, 0xe47d60e6,
+    0xa2594c9f, 0xa0192d3b, 0xe201939d, 0xe8e1f3b9, 0xe13b5c99, 0x55fff45c, 0x088b93e1, 0xa6d175de,
+    0x7ae4eb1a, 0xa25354ab, 0x50578d87, 0x0f5fcc3c, 0x9aa18d6e, 0xaff23d93, 0x1d3d67c5, 0xfef8f165,
+    0x9ea5b804, 0x1522e8be, 0xdc5a5a84, 0xbdefcdfc, 0x6564a0a7, 0x8d076ed1, 0x8555ecd9, 0xa0ad34ff,
+    0xe868313c, 0x1d71345e, 0x552adc20, 0x9b929ae7, 0xf10b175a, 0x1a3a1724, 0xc0ea6f7a, 0xf7617bf7,
+    0x6e00b224, 0xb279adae, 0xdbebe487, 0x1696be2c, 0xbcae3734, 0xee1f5b2b, 0xd73f7119, 0x8d9d30c1,
+    0x790dc099, 0x8abaa14f, 0x9b80ef66, 0x5f0a5114, 0xabde979d, 0x4fe51def, 0x28242cb1, 0x8974db2a,
+    0x412a14f1, 0x029fc30f, 0x322887bc, 0xfb1573ec, 0x0ae78299, 0x824b2a67, 0xac850dc3, 0x5c0fce2e,
+    0xcebd7ba6, 0x3fef3fe3, 0x2cc1070e, 0x0754bf61, 0x43b14997, 0xdf3d1ebd, 0x8463a6b5, 0x343512c4,
+    0xdfa37505, 0xd6e99ba1, 0x6a5b8be6, 0xfddfec8a, 0x410c1ce1, 0x196a79fc, 0x27eaac60, 0x67914058,
+    0x2646c885, 0x5425e855, 0xc30f573c, 0x0eb6db2a, 0xfad038b3, 0x75390abc, 0x9acf998b, 0xf502b3f2,
+    0x1c4a5dac, 0x70e6b1d0, 0x29fd6ab8, 0xabfe7942, 0x402aebb3, 0xca80a5c1, 0xa0d48317, 0xf718faa8,
+    0xa9e3900d, 0x6f6dfedf, 0x1dc2b4c6, 0x34ff9666, 0xc8079be3, 0xff21a465, 0xd60c3eb3, 0x1fb30ba9,
+    0xc4ebd1d4, 0xeca8ace3, 0x49b2bf90, 0xd4d214fc, 0x111a1f30, 0xe2a321dc, 0x5a3b56b9, 0x03611b53,
+    0x7ba3aa99, 0x176e523c, 0xe1ed18b5, 0xcf461bc8, 0xe383e86a, 0x9506ae8a, 0xdbedd541, 0x687e0048,
+    0xeb663885, 0xf73a6b7a, 0xce7db39a, 0x9ec614b2, 0xed0c1d45, 0x756e1f05, 0x5e71715d, 0xd9630cd8,
+    0x1b162852, 0xfe2fa253, 0x1d98dc88, 0xd9fbf727, 0x8ffd72eb, 0xee4fa18f, 0x508b7317, 0x1fda7962,
+    0x7f66d442, 0x82ce2841, 0xe526bb7b, 0xff486c8b, 0x0950a32a, 0xe1643d80, 0xac1faa38, 0xdaaa873b,
+    0xee215441, 0x7ef4ab49, 0x8eb7e708, 0x9df80a8d, 0x322b4eab, 0x3e70a212, 0x2c5eefed, 0x756e2c99,
+    0x0ad6d34e, 0x655446a8, 0x2b3b612e, 0x876187ce, 0xc74a008f, 0x5ce9c7b6, 0x04398dc4, 0xcf3e02ff,
+    0x479320ec, 0x122883b1, 0x6c6a0299, 0x021e18ae, 0xb622d9fd, 0x79cff007, 0xec09285b, 0xa14c2849,
+    0xdf8d61d2, 0xedff61a2, 0x527dbd58, 0xca0a5f70, 0x97b0e7e4, 0x62974bc3, 0x0a74b740, 0x20dcbcce,
+    0x2a6698cd, 0x7ce3a4ad, 0xe2723d94, 0xba2560f5, 0x9944cdb0, 0x277201c9, 0x7317b24c, 0x164a283c,
+    0x4cb3112e, 0x51aefcb0, 0xe6be23b0, 0xb23e0e88, 0xc3bf8dc7, 0x66d53014, 0xe7b9b116, 0xaaaf306f,
+    0x3670df9c, 0x19931fa0, 0xa7fdeba3, 0x7189db42, 0x3f1a91d0, 0x4a7e9020, 0x9a4ad454, 0x60389092,
+    0xe7de9cce, 0xec35f4d7, 0x325dc56c, 0xf67570b0, 0xc18da743, 0x8e81f245, 0x27bef3d8, 0xb2430dba,
+    0xeb585143, 0x86651fec, 0xb1dc5c94, 0xfb7f580a, 0x3c8d0c19, 0x9f00b08a, 0xb1426f35, 0x29c225f5,
+    0x4bb37826, 0x4d8a21a0, 0xe388ac28, 0xaaef3cca, 0xbd492634, 0xd70b4f72, 0x79f92351, 0x8d38dd47,
+    0x13c3ca54, 0xfc18dcf9, 0x8d0c1bc7, 0xd4fa8a62, 0x5a167d54, 0x68513502, 0xbc4285f6, 0xd65fac6e,
+    0xc40e403e, 0x220c9caa, 0x10c0d7c6, 0x7ec2f948, 0x98406e78, 0x901f1e41, 0x6104d733, 0x4bc6fe2a,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000592\
+                          85549689505892056868344324448208820874232148807968788202283012051522375647232 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad,
+    0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf4, 0x61e98be5,
+    0x00000000,
+    0xab5cc342, 0x07fabd30, 0x671010e1, 0x9b2d24e8, 0xc8b67ec9, 0x637f6020, 0xa8f4d989, 0x901e255c,
+    0xe5e4026c, 0xd2f826e1, 0xf3951489, 0x369eed8f, 0x3ebaf990, 0xcecfd6bc, 0x8044d718, 0x993da377,
+    0x0fd38199, 0x409243f4, 0x5884581d, 0xa8f1f39c, 0x086f58e3, 0x8bd9819a, 0x44a0bd87, 0xf71e6db9,
+    0x3cc2c12e, 0x5c7e00c9, 0xeb4b098b, 0x4091676b, 0xf8a07614, 0x910def13, 0x77c3de75, 0x0d5a2472,
+    0x7f7f7a08, 0x9b0aa806, 0xba99706a, 0xbb8a4c8f, 0x17fed64e, 0x93bf1468, 0xa483c1c4, 0x4bab2d47,
+    0x02a84e74, 0x95a032ce, 0x4aae87b1, 0x26d8c81f, 0x398a67fe, 0x85a79cbf, 0x858dd9a8, 0xd2ed6846,
+    0x3bb7ea45, 0x3ed4527b, 0x1919a904, 0xbc131529, 0x2b5ba81f, 0x5ca1e95b, 0xff4af6ea, 0xdd956ec2,
+    0x08e0fe1b, 0xe7c2c375, 0xb46bfd3c, 0x1f567517, 0x6a908709, 0x48731d72, 0x31dae374, 0x11d94ac4,
+    0x3e3ed74b, 0x3b7bc1ee, 0x911eee90, 0x88c80776, 0x8103d96e, 0x8928c423, 0x9ca81f8c, 0x5e80ee2f,
+    0x364ccc44, 0xdf520ca7, 0x38b57f2f, 0xc8540c19, 0x02d5a40d, 0x1414e61a, 0x7f690260, 0x2dce0fb8,
+    0x2bdbfe20, 0x7569362b, 0xe0279f64, 0xec27442e, 0x5b68e9ea, 0x999bf760, 0x2d2fcc34, 0x8aecf09a,
+    0x695108be, 0x4d81984c, 0xf6cb3a21, 0xe35aa8ef, 0x49c36a66, 0x5d950822, 0x7dcc4fb8, 0x8990a5f2,
+    0xf6df6f18, 0x36423d3f, 0xf7003713, 0x8540807e, 0x47291aad, 0xdeca68a4, 0x4177720c, 0xa08db43e,
+    0x44bb0bae, 0x7ca6e862, 0x3770737c, 0xf1b1184a, 0x814ee569, 0xb6513684, 0x609780d0, 0xc6b84e3b,
+    0x8b042b65, 0xab0b6c00, 0x4d59e6f6, 0x959a2ef9, 0x578582b2, 0x6a8427c2, 0x6a54000a, 0x79d5dfed,
+    0x49962b55, 0x59183a26, 0x6f792bc2, 0x7ebc64f1, 0x121c02fd, 0xe93d6245, 0x6130192c, 0xd7ac30b5,
+    0x2ed6bb08, 0x093f8179, 0x57bffadb, 0xbad39b37, 0xfbf61bc3, 0x6954f090, 0x838121d3, 0x9f531936,
+    0x0f90f02a, 0x5ca1f87d, 0x8700f47e, 0x1a2385b5, 0x39e63125, 0x428eb98e, 0xc7413d74, 0x8d5ac535,
+    0x227252ae, 0xc1cd3479, 0x511efd1a, 0x719f32f3, 0x56bad648, 0xc4b62b36, 0x437ae2e5, 0x933bfaf9,
+    0x7dd79141, 0x198b6280, 0x68a32391, 0x6d848dc2, 0x326b3729, 0x0bc23ea2, 0x435a88b5, 0x96ca49df,
+    0xfffe474e, 0x18b8d9f6, 0xe13c0ccf, 0x70b7fc09, 0x52745bc6, 0xac2d6f7a, 0xd8718f99, 0xcb21bab3,
+    0x51901c54, 0x1cb77ced, 0xf5a4aa60, 0xf9a8746a, 0x1c62544c, 0x247c4600, 0xe276a151, 0x3a5981fb,
+    0x0c93ac45, 0x24938c98, 0x390a6dd9, 0xb684f875, 0x67b6c710, 0x7e6249d0, 0x5a97e254, 0x5988a7a5,
+    0xf7fc47d0, 0x073eddd9, 0xc2febfb5, 0xb4eb0c41, 0x419c47c8, 0x2c63cc0a, 0x429f1492, 0xe326b4c8,
+    0xbebb3d04, 0x3b3032a3, 0xf8f8cb40, 0x95f88ed4, 0x3d6edd62, 0x92821211, 0x4283874d, 0x05de8d75,
+    0x9399ea6a, 0xe581f67c, 0x10f059e7, 0x5533488c, 0xc13af1c8, 0xf17e2349, 0x65528b0b, 0x74ef853e,
+    0x522d4c93, 0x47ed3b36, 0x86daeeb1, 0x571698d3, 0x38e87882, 0x05ca655d, 0x80e2bb19, 0x5c0744e9,
+    0xa54d1aa5, 0xa4e2ab7d, 0x6a30eee7, 0xbb055d43, 0xa19f16d0, 0x7aa97995, 0x8f2bb802, 0xb8fb87b8,
+    0xdfc2fa65, 0xfa5411e3, 0x62ebb44d, 0x9fb9ddf9, 0x4b6118c5, 0x135fd5ed, 0x46338360, 0xc3da78a6,
+    0x1d54371b, 0xa2ed5624, 0x5d0e67f2, 0x415c9e3a, 0xd4afe0f6, 0xba3d2f7e, 0x24046cc4, 0x279bf74a,
+    0x008fc317, 0x87fc666d, 0xdd0debf4, 0x21cd53f4, 0xaa59eae5, 0x6c300c80, 0x993fe48f, 0xe791e020,
+    0xaf7935d2, 0x3aab9f41, 0xbe54bc52, 0xc4a707de, 0x273d5c75, 0xd1d63fb5, 0x3ed574c1, 0xbbd88367,
+    0x4d1aed78, 0x67e89fa9, 0x52cbf3b6, 0xbd6a08be, 0xd2ee0a3f, 0xa8f4bd90, 0xb577f8b9, 0x01626f7d,
+    0xfaf67e81, 0x1531e909, 0x457c4ca2, 0xda87532f, 0x2afa72ee, 0x227f065e, 0x53c1769e, 0xf2483041,
+    0x8bf6ec37, 0xdb5a5d38, 0x95572632, 0x2f64c550, 0x5898b062, 0x53f06ffc, 0x95628677, 0x64c8a95c,
+    0x762bc56f, 0xb605f96d, 0x32cea241, 0xe6b5106c, 0xce309ff4, 0x34023acf, 0x377f8cef, 0x5c56438d,
+    0x118be01f, 0x864ca049, 0xcd10a8b2, 0x95eba0f4, 0x3a02b389, 0x0fe2373d, 0xd668baa9, 0x2fe7074a,
+    0x8b26f53f, 0x7d60557e, 0xf1693b7c, 0xc2ff20e7, 0x69506534, 0x86145358, 0x4c3c31ba, 0x6771ff8f,
+    0x31c37c16, 0x7f6f6385, 0xf7c596bc, 0xe6f63375, 0xfe230df7, 0x7e1fbc0a, 0x7df4b8f3, 0x842e7261,
+    0x2d43e741, 0x81f40194, 0x9ee11f77, 0xe1a5743b, 0xb9f33775, 0x230e22a7, 0x107624dc, 0x5a179cb7,
+    0x4bc90357, 0xf3c98035, 0x0246bf07, 0x5eee21ff, 0xc068818d, 0xc7e01e3a, 0x0aa77cea, 0xf1be109e,
+    0xc32c7e15, 0xb6f27b6c, 0x357b8693, 0x26eb7ac4, 0xd38f30f9, 0xc87948f2, 0x10465b85, 0xb3a26bfd,
+    0x2ddb1797, 0x53fce31f, 0x56137d41, 0xb5bb17dc, 0xbca7d743, 0xac090788, 0x9406a4b9, 0x7e24154c,
+    0x5e184126, 0x3d200586, 0x11ca9fe9, 0xecaccb5f, 0x0d2e1a0e, 0x2971479a, 0xd3a9b11c, 0xf97509d4,
+    0xf3be4baa, 0xeab6fe5e, 0xef60eb94, 0xa0e2b1d4, 0x90a310d6, 0x86e8e4bd, 0xb34d69cb, 0xf194b843,
+    0x27c4a6f5, 0x19c84cf4, 0x990c115d, 0x19dbaa01, 0xa0dc0dbe, 0x1d983065, 0x34ff525c, 0xe5db9ed8,
+    0x3ecb1d60, 0x64d96d5c, 0x757ed61e, 0xcc9e8b03, 0x8d285391, 0x79400573, 0x3bcdb779, 0xe7fcd921,
+    0xbbfb0794, 0x879fe271, 0xe21ea939, 0xeb41d342, 0x4edfe799, 0x7fd27fe7, 0x44a1a5e0, 0xcf04dece,
+    0x2332dc9b, 0x6c74a739, 0xfe32f499, 0xf6015f91, 0x87c51e4c, 0x1d166bc3, 0x55f0bd03, 0x2fd0f61f,
+    0x54eb0bbd, 0xac15ad5d, 0xc9150030, 0xdbf63a87, 0x8dc422cb, 0x8ac295af, 0x817cd8c8, 0x4d415066,
+    0x159e70e4, 0x366fbc73, 0x8b51e9cf, 0xa4e265a9, 0x51ff214a, 0x4fddd731, 0xca8144fd, 0xb8072a31,
+    0x0fb1076f, 0x2022b90e, 0x90f6fd76, 0xb2c69cf7, 0x6cb00362, 0xe27c9ea7, 0xc99bfb8e, 0x7af71a6b,
+    0xe94a46da, 0x684a2b45, 0xb42fe12e, 0x4db10b10, 0x2a952a91, 0x5100765b, 0x4356c111, 0x176d0357,
+    0x7e3bf567, 0x965c372c, 0xe90e6158, 0xd88ce97e, 0x62f39d99, 0x77f1e4bc, 0xf768fb10, 0x5d429ec6,
+    0x723b4828, 0x2238e192, 0x06a768f8, 0x5c0c363c, 0x6757c71e, 0xb8616403, 0xad1bb1f9, 0x92698bed,
+    0x0480c453, 0x8b0ddea4, 0x2e36aa98, 0x15b3a46d, 0xf3575022, 0x11161676, 0x9581f056, 0xc8eafd09,
+    0x22afee13, 0x17dc7be3, 0xd6214553, 0x3725c88a, 0x5afb8ede, 0x65ce6afa, 0x2697729d, 0xddf7205b,
+    0x3637f584, 0x5e6d8e81, 0x04254a1e, 0xa29c9dad, 0x0ef1cc57, 0x0ba506c2, 0x4bffb3f6, 0x7c9546d3,
+    0x1ebb6408, 0x9ed4ecf3, 0x47dfeb82, 0x65b8d2f4, 0x9aba2b28, 0xeb29b099, 0xe8cf92e3, 0xa9cdc5c7,
+    0x6208ea04, 0x6b3292f1, 0x44e695e3, 0x33c2f647, 0x60e30734, 0xfbaf7354, 0x9b8d74ae, 0xa1a7b441,
+    0x650389c2, 0xb5e256ac, 0x8d12ffe3, 0xb3a22ce4, 0xa9e2027e, 0x031d9843, 0x759073b8, 0xb016c6a4,
+    0xfb449624, 0xe063e157, 0xc1260db1, 0xa69d66dc, 0xc75a37ae, 0xc13f6c7b, 0x4e1f0ae8, 0x245f7650,
+    0xf01f7fa4, 0x35e56698, 0x9a765e20, 0xa951052e, 0xa2314852, 0x02fc4f96, 0xee4d6d1b, 0xf56a781f,
+    0x81ed2613, 0x2c70f288, 0xde3868da, 0x48a044e5, 0xe2c9e88c, 0x1b121fd2, 0x4bdba068, 0x3d3fe4de,
+    0x714738fb, 0x7275f84b, 0x277939bc, 0x99cbd1c5, 0x79bb864c, 0x72e2d0ab, 0x3fae6513, 0xad4b0257,
+    0x9483e71d, 0x9163f430, 0xc0c202f3, 0xb5f82ad5, 0xb2322831, 0x2d8e2fd9, 0xc02491b4, 0x4c7dacf9,
+    0xab0a47d5, 0xa6f69dd8, 0xf16af28b, 0x518359a7, 0x6256d21d, 0xd22efb3a, 0xa2c95bbf, 0xba4eb9c2,
+    0x5bc4c84b, 0x17a07287, 0x074b9f05, 0xe701d63a, 0x58ba6843, 0xbfa06b21, 0x8a1b0908, 0x74ceadf7,
+    0xf84774c9, 0x5968f51b, 0xae490772, 0x5525d657, 0xb6250295, 0x26fd1388, 0xede12fe2, 0xc2b59a5e,
+    0x8b493019, 0xdd1c7f3c, 0xcbb1334a, 0xcec744f0, 0x43e1beb6, 0x1a8047b8, 0xeb4f1f33, 0x3ce66328,
+    0x2b2689d0, 0xcfad0294, 0xdd6dc1d8, 0xa5c338aa, 0x8f92ee0c, 0x6e4216ab, 0xb0312b8d, 0x5c0d2dbd,
+    0x65183cb9, 0x65c804ed, 0x7fb7c051, 0xc00ab542, 0x53d9963b, 0xa689e884, 0x140762fc, 0xcd8c98b2,
+    0xaf747632, 0xe9ae6b96, 0x5eebd862, 0xa42e59ad, 0x1fbff399, 0xca753e04, 0xfaa2c887, 0xe16c5286,
+    0x65bda580, 0xc59b4f2b, 0xa4b25305, 0x65c2eee0, 0xd957a21e, 0xa6a3d6ed, 0x30c26892, 0xd81fbf68,
+    0x85cee1b2, 0x062662ea, 0x853a34c5, 0xfa583fdd, 0xf26941e8, 0x329ecc4d, 0x187d207a, 0x3da2bf43,
+    0x74beeb4f, 0xd52ac3f9, 0xf559ae32, 0x17d4e3ff, 0xf52d50a8, 0x6c6a6ca0, 0xb3d8aea6, 0x3c3c0eca,
+    0xf77abb77, 0xc257cc0b, 0xfc61f5fd, 0xb60f0936, 0xbb1bfb56, 0x1c5e5846, 0x3ba411f2, 0x6fb92f60,
+    0xcad886a2, 0xd819d7c4, 0x2eaba2d7, 0xeaed6d13, 0x9886aa21, 0x93109762, 0x3c40688f, 0x53b75be6,
+    0xe0a56494, 0x91140124, 0xaa2f5dfb, 0xb6bf8638, 0x590da98d, 0x444c44bf, 0x6f2c8f8d, 0x12d46257,
+    0xcfdb11af, 0x0f0f98ff, 0x546fc036, 0x010c1f23, 0x6c4b533b, 0x45ad1da5, 0x5487a1f8, 0xd6c9a7d4,
+    0xfb2e9b63, 0x26269ac5, 0x7dd7284c, 0x7d1eb783, 0x9754e19f, 0x3f5c7cb3, 0x45cb7581, 0x4e796f23,
+    0xcc364490, 0x22ea742c, 0xaf106b4a, 0x1c3a0e42, 0xe929a824, 0xbfe4daf2, 0xb14d0c95, 0xaca78138,
+    0xf6000d90, 0xa1b4c789, 0x682ca12d, 0x1aeb0d68, 0xd2a0a5ce, 0x790b4274, 0xcf0de4a0, 0x662859cf,
+    0x53b6a03c, 0x9bb11d04, 0xf2e97061, 0x2ca7676d, 0x8c1564e2, 0x383b1fc6, 0xbdd0f9d6, 0x806287e7,
+    0x1abfa80a, 0x552ae5bf, 0xcbdec35a, 0x7b4c76a7, 0x4763e46f, 0x8337573c, 0xf3d3017c, 0x362be176,
+    0xfc03e431, 0xa8a7508d, 0x03b254ff, 0x88b57d27, 0x1b5765b2, 0xf0c4528f, 0x35323aa2, 0x3b41259e,
+    0x972d6242, 0xaad0e68d, 0xd6028743, 0xd4e8f6c7, 0x9ade1f08, 0x23aacda9, 0xfc31a49e, 0xace728a4,
+    0x0441931f, 0x4b8c4402, 0xeeab055b, 0xb238b815, 0x729f4439, 0x85646d57, 0x278d7993, 0x2f5ddaa8,
+    0xa5ddd707, 0xef8e8a2e, 0xd212d1d8, 0xab24dba8, 0x0909164d, 0xe6721740, 0xe144723f, 0x824aa600,
+    0x683fc8e3, 0x87cb6515, 0x9b563c36, 0xb50b44d3, 0x07f7447f, 0xcb50ea03, 0x7cae592d, 0x44859987,
+    0x4aa81a2d, 0x9b9a7de2, 0x2c7015a0, 0x12179c69, 0x663b7141, 0x067d491b, 0xb2989254, 0xc0a78953,
+    0xc934ed29, 0x652b8623, 0xb4667ee2, 0x12222f69, 0x7c62128f, 0xbcf8041f, 0xb5cbe107, 0xd09b1f8c,
+    0xec943c95, 0x95c655bb, 0xb76a8a36, 0x05b43861, 0xd7738095, 0x86f1811a, 0x1d64db34, 0x34269205,
+    0x0366d4c3, 0x5172c0c9, 0xf8c42972, 0x490e5c79, 0x5ea99574, 0xef7db574, 0x26f0b92e, 0xdaec90e5,
+    0xd4a7967d, 0x53c3c0fc, 0x8224a064, 0xb67696ae, 0x20b6ef7c, 0x687a5989, 0x6c7bf277, 0xd408ad33,
+    0x13e271fc, 0x96c82548, 0x45fea5c1, 0xef424867, 0x8b5f38d9, 0x2090f590, 0xc204e523, 0x9f1125f9,
+    0x4797a8b0, 0x0e88c82d, 0xc099e4f9, 0xf2ca76b3, 0x8db06d60, 0x8f652fdc, 0x18882c0d, 0x084707a2,
+    0xcb9828a2, 0xca0c0d24, 0xf3d81415, 0x9ca35b7f, 0x39e921a1, 0xbfa34460, 0x5afe5ef2, 0x693b7d7a,
+    0xf64278a4, 0xb810f152, 0x942c6f01, 0x0a0a490f, 0x11994cbd, 0x427af58d, 0x2c8717a1, 0xa7fdc610,
+    0x9e49d683, 0xc87715fc, 0x96e1e2b7, 0x5c66b796, 0x437d8558, 0x7d45f041, 0x0aa2b8ff, 0x6cdde668,
+    0xf67b1aa3, 0x3929c829, 0x56e472fd, 0xd4512d2c, 0x76f06893, 0x7dd1b3e7, 0x8dde38fd, 0x835267ac,
+    0xeb53c1c5, 0x1b37ed9c, 0xda289b5f, 0xdee20c14, 0x00382d45, 0x6fb10b07, 0x248b932c, 0x1cbc8b71,
+    0x2d683370, 0xaff66dc0, 0x73f4555c, 0xf5c6546b, 0xe2ccfaa6, 0xd3d098c5, 0x34e7442b, 0xab79b9ab,
+    0x56791ab9, 0xf71c312f, 0x1520758a, 0x9dc8583d, 0x53178d9b, 0xff25b79e, 0x8f006ff4, 0x6793b84c,
+    0x1e3c854a, 0xc4549956, 0x8489bb39, 0x92aff4f8, 0xae1cb07a, 0xa7bb8208, 0xe567d0b3, 0x5778cbe2,
+    0x8d9dd044, 0x5d476dc1, 0x7fc34f1e, 0xc6dea105, 0xd2ff8667, 0x8b06145f, 0xf3ff2cc3, 0x69252faa,
+    0x739f7892, 0x65f1f91c, 0x802dd72e, 0xf1a58b8d, 0x849a1969, 0x40825418, 0x8a64fae7, 0x0de9892d,
+    0x1b456d26, 0x3ea640a2, 0x2f32c64b, 0x9046ccd1, 0xc5154e06, 0x6d9978a2, 0xc25b6be4, 0x6be991ac,
+    0x46d33bbf, 0xa60016d6, 0xe889c4fd, 0xa4e39f24, 0x60949c5c, 0xe1fab446, 0xb2171018, 0x84324e1b,
+    0x8c179848, 0x6d38dbea, 0xfe56ab39, 0xf69f6a9d, 0x5b7e6225, 0x4e09a445, 0x6a9781e4, 0xbee37671,
+    0x0f68f635, 0xc24fb289, 0xeb37427a, 0x7b249432, 0x1a24f59a, 0x5975923c, 0x803442b2, 0xfbf0756b,
+    0xbb887363, 0x0900da85, 0xd8c4dabf, 0xb2f5ef40, 0xfb7d6fba, 0x1af65ed9, 0xc2b97b3f, 0x5cf27024,
+    0xe85f8801, 0x580455e1, 0x718fa4c3, 0xb3272837, 0x64870177, 0x54eeeeac, 0x3ff185f4, 0x6da46524,
+    0xf1c56470, 0x2925f92a, 0x14ecba4c, 0x1a3512c0, 0x5fca5df2, 0x7c4ffd6a, 0xfd3d057f, 0xa29d796f,
+    0x7f2b48a9, 0xaabbd5af, 0xf1696c66, 0x8e54f109, 0x48050fed, 0x33aab507, 0xaf7d204f, 0x75a6fb11,
+    0xc3209be4, 0xc9d3dc7e, 0x2203fa78, 0x44be3b77, 0x9d222a1f, 0x315f6730, 0x6488b4b6, 0xc1b30932,
+    0x42da936f, 0xba23f95b, 0xb63eb30d, 0x6a989196, 0x8298f09f, 0x862ba5fe, 0x524561ec, 0x30cd9313,
+    0x7a9a064f, 0xdaa1d5af, 0xc3d8540d, 0x120b73a6, 0x10faec6f, 0x9cb0ca80, 0xccb9dd78, 0xe6e1daae,
+    0xfb42a404, 0xbca1137f, 0xba2c6341, 0xffbb76a9, 0x4dd6da4d, 0x021f87e9, 0x2d9d71ce, 0xeea3863d,
+    0x41750b8c, 0xce196689, 0x4f62580c, 0x60e293d3, 0xe70bb924, 0x7fb7044c, 0x39b77a60, 0xb2861735,
+    0x0354dac9, 0xbe77559c, 0x34a9a5fb, 0x9cb56572, 0xce029ff6, 0xa6c11033, 0x02f9d0e7, 0x93deabc1,
+    0x2f13eb68, 0xebba54cc, 0x1cec5ab5, 0x9c400a3a, 0x46473915, 0xecf79ff3, 0xef0081ab, 0x61d3064e,
+    0x4a53d343, 0x92c119f1, 0xc841db97, 0xefc83fb6, 0x9e787a46, 0xe58a1dc7, 0x0582c404, 0xac2e0e28,
+    0x87eed952, 0x939081dc, 0x7b80e6c2, 0xbbebe56d, 0x80ff5462, 0x7b617485, 0x1d6d628a, 0xbf43820e,
+    0x90938807, 0x1262e1f1, 0xfa4a305c, 0x8e507b8d, 0x1ff358df, 0x4ef3e67c, 0x2907a02b, 0x782051e4,
+    0x8f61237e, 0xd3a722f8, 0xbb7ba7a6, 0xac9d4995, 0x54eabaaa, 0x9fb4393d, 0xe34071de, 0xa443e5e6,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000296\
+                          42774844752946028434172162224104410437116074403984394101141506025761187823616 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56,
+    0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fefa, 0x30f4c5f2,
+    0x00000000,
+    0x941a4444, 0x643b55a4, 0x390120e2, 0xe68703fb, 0xc9421b3b, 0xe2f4e2ea, 0x24562d0d, 0x2d7c5fca,
+    0x2f0aead1, 0x60ae853b, 0xc5ccb013, 0x3dad66c1, 0xd185e2f2, 0xd25927d1, 0x41482740, 0xa8540882,
+    0x67afcbee, 0xf94c9ed3, 0x87c2cb54, 0x2d941218, 0x492c51ab, 0x686f78dc, 0x3e032b68, 0x34e2cd44,
+    0x850e8a23, 0xed8dd033, 0x898f5223, 0xa8f1379b, 0xece4c75a, 0xda9a43e1, 0x2488f877, 0x62d4a007,
+    0x58f7df73, 0x8ca8f384, 0xcf15fd28, 0x00c03cac, 0x11035ed9, 0x8b550802, 0xc70ae43e, 0xa35c4702,
+    0x8e265b15, 0xc5c4753c, 0x863538a1, 0x9281da5d, 0x7fc19fd1, 0xb8a4d2af, 0x2bdfaabc, 0x384be115,
+    0xcf99f6ab, 0x9e2adf0e, 0x0b4c1b93, 0x4763c4b8, 0x18c9832c, 0x34536380, 0xa310a81d, 0x9a48f488,
+    0xc08cb659, 0xc4e0fa50, 0x7fa28ed8, 0x96532ba4, 0x850b4984, 0x436000d1, 0x33511204, 0x00f1044a,
+    0x1864aafd, 0x9adac51a, 0x6377fdf3, 0x93880209, 0x9086057d, 0x08700b84, 0xc3322ded, 0x4ed4a927,
+    0xcebe208e, 0x130bc188, 0xd13ee242, 0xb0558f3d, 0xf05b6edd, 0x50f80c0f, 0x48f954f1, 0x618aed82,
+    0x7208ac27, 0xd8fe09e1, 0xc9c3d2fd, 0xabe20a95, 0x5883b74b, 0x1b1e0917, 0x6bbad811, 0xd825ec35,
+    0x74df8402, 0x12c4eb78, 0xd54507b2, 0xb6739a3c, 0xda01bdad, 0xcb12ea54, 0xb0068931, 0xd692b077,
+    0x3e67bf25, 0x4d47f2fc, 0x3b2a6beb, 0x45ba80ac, 0xf72d3222, 0x34be8713, 0xfd525e30, 0xac4098fa,
+    0x7e98438d, 0x30991e32, 0x31d2c21b, 0xf117db90, 0x3aaa00d2, 0xbd3404ba, 0x9e32315b, 0xcdf013cc,
+    0x0493567d, 0x6484cae4, 0xe890ed90, 0xa747cfaf, 0x8138a532, 0x44dbf9a6, 0xfbb34c6f, 0x1a7e7199,
+    0x30e2a06a, 0x3439de3a, 0x4a73ab04, 0xab7f0bf8, 0x8f91634b, 0x292d5641, 0x3daa33c4, 0xb1c34d6f,
+    0xdf1f496a, 0xd8fe5052, 0x1f354ed2, 0x702ddb01, 0x02ae4dbe, 0x96538845, 0xff8606ec, 0xdebaf8c5,
+    0xe89014bb, 0x5f4da5cb, 0x20d225a7, 0xb88a0ac7, 0xdf81d908, 0x1e48e06e, 0x98199fe8, 0xa6abeb6e,
+    0x76a4dc3c, 0x85ab195f, 0x9a23d0d2, 0xd7a7b323, 0xbba15479, 0x321947db, 0x23e241ce, 0xe2cb8aeb,
+    0x19c0ada4, 0x18ed9fb8, 0xdd76a522, 0x7f9dc7be, 0x9cc85d75, 0xdb6b9df7, 0xf6829e78, 0x48f73b4d,
+    0xcebb522c, 0x11da271b, 0x4ee8427e, 0xe9706c77, 0x608a093a, 0x51ae7c29, 0xf13e139f, 0xfb7aa8e5,
+    0x6cc38461, 0xfee6dddc, 0x5c5000aa, 0x443672d3, 0xafa9f9bf, 0xfc2fe286, 0x997c1048, 0xc874d86f,
+    0xa442c8a2, 0x50f5a9a8, 0x3d92c966, 0xb1aaac71, 0xa40d23f4, 0xc5326b2f, 0xec4efb77, 0xd71c5ffd,
+    0xfd42635e, 0x8bcad780, 0x91e0ce50, 0x7870d6f6, 0x8357ea51, 0x41f262c0, 0xa5de2ec6, 0xd89bce5e,
+    0xf941e297, 0xcaebc932, 0xbfa0a7c1, 0x0d6af4ad, 0xe3cf906e, 0x80cd6a5d, 0x50af7b33, 0xac7d3ac5,
+    0x99e36105, 0x0d14018b, 0x5e5b461a, 0x15836274, 0x74c4b204, 0xd3d388e5, 0x734dd16c, 0xbb4328e0,
+    0xf0227a75, 0xf40c7857, 0xdf540339, 0xf0bb3c2b, 0x0b1d606f, 0x9f583c24, 0x341cdc5e, 0xc584c84a,
+    0xdcfdc921, 0x602fe0a7, 0xaf30ed51, 0xdd002832, 0x7b744c3c, 0x85c44bb3, 0x06e2d4f6, 0x4fe079cf,
+    0xbebf04cc, 0xd866e964, 0x362430f0, 0x81774b2d, 0xf4abfbac, 0x2d7428ca, 0x1b5bdad5, 0x1d156988,
+    0x72c7f905, 0xd0a4b5ba, 0xc6410971, 0x3293625b, 0xd633f1a8, 0x230ecf43, 0x7e117061, 0x7ef592fb,
+    0xe0993388, 0x3c1575b0, 0x7ad75a3d, 0xc6a84998, 0xe36f9ee1, 0xbfbd8c9a, 0xbafe65f4, 0xf788cae4,
+    0x2c78fd58, 0x5fb39144, 0xfca8e694, 0x81943d5c, 0x50d63c19, 0xc1e2d0a9, 0xda074065, 0x4135c5da,
+    0xe1fce0c2, 0x63ca090f, 0xac71c4ca, 0x4a6cbfed, 0x093880c8, 0x24b4b4d0, 0x1de3e271, 0xdaeb3dfa,
+    0x93c8661a, 0x2407fc40, 0x78ebdccc, 0x7552c0ae, 0x4f53f689, 0xd80ce556, 0xf1a8fbf5, 0x902fbff5,
+    0x196298a8, 0x5a787c86, 0xeb53d9e3, 0xd64db77e, 0xf9d457f4, 0xfe0f5e77, 0x5e389bfe, 0x77b66b57,
+    0x446d077b, 0x29042823, 0x6d557d7d, 0xbe4ece11, 0x9fe431ef, 0x031a3658, 0xd8323f3d, 0x9c26dc7a,
+    0x11391ba8, 0xe75199b8, 0x22e0e2ed, 0xf7fda914, 0xd0e31bff, 0xa68cc9d6, 0xf8fa4194, 0x9cc191ce,
+    0x075f93d8, 0x15da5316, 0xae44fdcd, 0xa290b5a7, 0x3eb25bb4, 0x1073f178, 0x9307d697, 0x1a7c6974,
+    0xcbd8f1e1, 0xc8e95099, 0x089f3c0f, 0x82039b06, 0x998ba610, 0x939308bc, 0x0b41bfd8, 0xe22ef234,
+    0x5e11ed87, 0x9705d3b7, 0x0148d6c4, 0x67d2ecdb, 0x8866584b, 0x44d23caa, 0x1a2e8838, 0x381d1616,
+    0x7da12bea, 0x0ab205a6, 0x89c82ca6, 0x1a8047fd, 0x80bd521a, 0xe697a6f0, 0x79deb942, 0xd4de2092,
+    0x30feb3df, 0xfa4977cf, 0x681ac9d9, 0x73673347, 0x27061811, 0x326ea643, 0x822d7c0e, 0x2828ea2d,
+    0xa77b9448, 0x640d0026, 0x202e4ffe, 0x854b950b, 0xc180269a, 0xa8a57cc0, 0x64f07b13, 0xd05ab3e1,
+    0x9fcaf3d6, 0x3bae7147, 0x058654bb, 0xd0612c5a, 0x07755671, 0xc484cc10, 0x477d6c15, 0x7f127e84,
+    0xcd2bfa12, 0x7751f334, 0x07af104a, 0xf98501f2, 0x049bf834, 0x6519214d, 0x8d6b5a97, 0x2844f5a2,
+    0xcd99923d, 0x78db0ff4, 0x1726dd3e, 0x64a33e42, 0x63d6f681, 0x5edd5578, 0x4c264ff2, 0x3351c5b6,
+    0x1a512aa6, 0xdbd1b420, 0x1f6c2be8, 0x31686934, 0xa4c0d4e7, 0xb0f4d3ee, 0xa44d7912, 0xe793bdcd,
+    0x11fac682, 0xfb636321, 0xe05d5d3c, 0x3324f775, 0x5a6602c6, 0x0b4086fb, 0xd732194b, 0x20a64ffc,
+    0x12ad92c4, 0x4050d81a, 0x2730b9a0, 0x68a7615c, 0xb056f617, 0x540a9f21, 0x00e21728, 0x4257a854,
+    0x18420955, 0xb8a9c8c5, 0xa1c86cd9, 0x27fbced9, 0x03b81345, 0x5c5e19ae, 0xb8aac9bd, 0x3fe5bd71,
+    0x89283a71, 0x3fdfce9c, 0xbd3b7d98, 0x245a8006, 0xc515db9d, 0x14388f5e, 0x80a6bf93, 0xffc6be85,
+    0xad7037f1, 0x088ffc2e, 0xb474e23d, 0xa019b5ba, 0x903973a0, 0x33073817, 0xd3614cec, 0x86e2feef,
+    0x5f629bcb, 0x65dd6608, 0x0212f412, 0x9f5538b1, 0x839cc8dd, 0x01112f64, 0x7ad9a8f6, 0x8abf11c4,
+    0x1e2ef9ff, 0x31e04903, 0x055a0764, 0x53cb314f, 0x17ab7ee1, 0x38d7cda8, 0x6870fba8, 0x7788fb3b,
+    0xc38d0533, 0x84695b53, 0xde3c4860, 0x63bf2a6b, 0x89a46a2e, 0x0fcfd6c5, 0xc8f565e1, 0x131e74a5,
+    0x092e1649, 0xfd189039, 0x11c81e01, 0x37838112, 0x66dd1589, 0x74a68555, 0xc858dc92, 0xa0e11226,
+    0xa053c480, 0x0ab5dce0, 0x791a2365, 0x59076a78, 0xd1ae4df5, 0xe75775af, 0x7c08a423, 0x54ef2625,
+    0xb79851fe, 0x5c8b4b34, 0xa5a23b07, 0x8332b4d9, 0x79bb7bf8, 0xbf1c66e5, 0xafc52772, 0xfd470ad9,
+    0x68235a83, 0xa8572862, 0xe6505394, 0x1fa8182b, 0x34dc15de, 0xfc70480b, 0x033ad864, 0x0ea72a3b,
+    0xb3d4e99a, 0x01ea111d, 0xfedfd2ff, 0xe29036ee, 0x74f87eef, 0x29e213ee, 0x6b0775d3, 0x1c900916,
+    0x1a6df4b5, 0x15b3a347, 0x489ec95e, 0x0619fbf0, 0x3d1ca840, 0xd531b7bc, 0xa1988fea, 0xf4a2d1b1,
+    0x26bae605, 0xbf2aff89, 0x5810ec52, 0x3b21d113, 0x4a7bebd6, 0xc705dd1f, 0x4a4178e3, 0x0f6111b9,
+    0xbfbbb25c, 0xdfc78acd, 0xa7315140, 0x227818f4, 0x566808ca, 0x4d33b325, 0xf3740a7c, 0xb4d55d52,
+    0x6f45c587, 0x9f4c8438, 0x92402d8a, 0x85d151dc, 0x91118446, 0x66a05e0d, 0x3c981a75, 0x13ac600f,
+    0x2b5a1da4, 0x0ac8d70b, 0x579e8c05, 0xcc5fb146, 0xa97687ee, 0xefe136f3, 0x92ad9443, 0x77ce461e,
+    0x4908841c, 0x2bff9b34, 0xdce499aa, 0x5c60375c, 0x0af119e0, 0xa7f53a26, 0x1f303e3b, 0x16f1f52e,
+    0x62ebf220, 0xc2536ae7, 0x9424a1d7, 0x7f4d04e3, 0xe164e09e, 0xf025b790, 0xf630fbe1, 0xef8c66f7,
+    0x2d42471b, 0xb853f985, 0xc4a05956, 0x35f6359c, 0xfbf874cc, 0xf5cdb1e1, 0x4031703f, 0xcef8e4b9,
+    0x9577f75d, 0x454905aa, 0x2c98cf2e, 0x94857dc3, 0xfdd094db, 0x21b885ff, 0x9c4a6823, 0x730585f3,
+    0x5284b434, 0xaecfcd74, 0x00d4290b, 0x3a58137b, 0x01aaa577, 0x2ffacc84, 0x0e539fe3, 0x46bbb053,
+    0x84a386f4, 0x6b6776bb, 0xc98150a1, 0x06ca6b9b, 0x4b6b1299, 0x4b50d2f3, 0x8ea21067, 0x0c5edd5a,
+    0x4d780bdb, 0xa4d53b6c, 0x26935920, 0x8c0ea808, 0x702681a8, 0x892ce694, 0x856d047e, 0xbd89a7b3,
+    0xa35a3da3, 0xadbb650b, 0x9548c482, 0xa2ff473f, 0x2713e521, 0xc2449b9d, 0xdc4c9d98, 0x381e9959,
+    0x25b6d36e, 0xcdbd14ab, 0x2d8aebd7, 0xa3d6c8f5, 0x9f437d11, 0x2020a7a5, 0x57266ddc, 0x7c626ff6,
+    0xb319e95a, 0x84e28a2b, 0x666229e8, 0x9e2b3dcc, 0xca73fdcc, 0x39dfa446, 0x619b428c, 0xce6c2910,
+    0x6b9e2f89, 0xb961adac, 0x04595a92, 0x836fe215, 0x75229f90, 0xb7645703, 0xa796125b, 0xa56401be,
+    0x0bdc24c7, 0x587257b1, 0xe87ec231, 0x39db1a09, 0xb0dcf2bb, 0xb1ab1e49, 0xfc2485da, 0x6968bc32,
+    0x329c33b0, 0x02b0a104, 0xdb8729d2, 0x5b7a1630, 0x45595421, 0x8452ab97, 0x32c65871, 0x9643a2a6,
+    0x82a63cb9, 0x481103f4, 0x3f154b1d, 0xa02ffe10, 0x8a70b5bc, 0xe381f776, 0x7aefa806, 0xcd2cf99f,
+    0xeb2d6249, 0x6dd0e5c0, 0xf7df17e9, 0xde22eaeb, 0x7b0beeb1, 0xed6e0e48, 0x5c17b469, 0xd936084b,
+    0x8d99768e, 0x39ab4d09, 0x4c37ef87, 0x2c6d2d67, 0x11bf48ce, 0xbf84b4a4, 0xae7c02b5, 0xdaaca232,
+    0xe6157f6f, 0x1fe9f886, 0x14aff173, 0x3d294e6b, 0x43a9a825, 0x4e743c16, 0x435ca801, 0x75ff0c3a,
+    0xbe52ac85, 0x47394f2e, 0x68c5f223, 0x108f46f1, 0x49b74907, 0x430706e9, 0xaa31e905, 0xd51e4ef8,
+    0x5214e007, 0x64322083, 0xc10a63d0, 0x5b7c9e0d, 0xee603432, 0xf16e810e, 0xe125659d, 0xceb6679f,
+    0x2dbde2a1, 0x5cee2cec, 0xa6317989, 0x0b38e8bd, 0x6dcdcde0, 0x956be174, 0x7a84a7fd, 0xdb71563d,
+    0xcde919ab, 0xadf0664c, 0x3dba806d, 0xb7794fae, 0x242280e9, 0x43ca3e4f, 0x96831d94, 0xa26a7e9a,
+    0x7492e1d9, 0xa9d0de53, 0xc6ac205b, 0x6c7b60c0, 0xb695f34f, 0xd883ea16, 0x3dfc6edc, 0x27e6f270,
+    0x4177b732, 0x2ca1806b, 0x5c03c62f, 0xd69f8874, 0x4d516308, 0x2b2e4757, 0xc69a179f, 0xc722810c,
+    0x4ea61cc3, 0xb87cfe4e, 0x976f1ffe, 0x5b8441c7, 0xc640684a, 0xfbaf66bf, 0xab7082bd, 0x14c57034,
+    0x289ffadf, 0xc3cb33f7, 0xf54e38f0, 0xb63648b3, 0x2d89939f, 0x8cb47554, 0x388eba2c, 0x1a7826d5,
+    0xfca29b9b, 0x2276ef28, 0xa468d51f, 0x022be3f3, 0x7c9a3e95, 0xb1055250, 0xb3a4dec7, 0x560641bd,
+    0x620622d5, 0x6421eed9, 0xe8aa9fec, 0x00586e11, 0x7745f6c1, 0x8aa01268, 0x9e595d37, 0x289bd170,
+    0xdcce96c5, 0xe3ffcba7, 0x8b051062, 0xc8463dd1, 0xe5c413d7, 0xfa0fc2b2, 0x90b23e47, 0xfc999be6,
+    0x61b3567c, 0x2fb374ed, 0xea14f1d6, 0x751e3e0e, 0x21624ae0, 0x375fd8a7, 0xe82ff637, 0x10ed3bbe,
+    0x3cbd49ce, 0xcc02d329, 0xe6c587c9, 0x8f7f1cf8, 0x74616ecc, 0x719e3976, 0x703e76d7, 0xa8cfcb66,
+    0xa781897f, 0xfd9da842, 0x4309e19d, 0xfc28c571, 0x2726db9c, 0xc8c1585e, 0xc635b8d8, 0x33b93d18,
+    0xd5a5a250, 0x35ad362e, 0x6b5acde7, 0x5fa5bc2c, 0xa424fc02, 0x2e3d12e9, 0xc90135dd, 0xc550c4bc,
+    0x27c2966a, 0x863b7eec, 0x05dd9517, 0x10bd9a97, 0x6ae9107a, 0xf0d59bf9, 0x145a6600, 0x3ae93d7b,
+    0x136ac89a, 0x1318b9a0, 0x42f0a800, 0xa47dc860, 0x9151c52e, 0x6c5b20c9, 0x53274ecd, 0x40ecd4d6,
+    0xe7bd6cd5, 0xa381631e, 0xd69edb85, 0x324d2ea5, 0xf01263d7, 0x3cd23828, 0x3705bc89, 0xb08dc6e5,
+    0x0fd54e6a, 0x438d5b04, 0xba906414, 0xfa2d44ba, 0xa56c630d, 0xfa9be196, 0x4c18775b, 0x7c1d22fe,
+    0x788dfd3e, 0x55af1df8, 0xc64e1ad6, 0xb0288078, 0xaefc94cd, 0x4180187f, 0xb6eaa386, 0x25a90420,
+    0x7668df20, 0x715742ee, 0x0bfaadb8, 0x737b80a9, 0xf473da2c, 0x8e673fdf, 0x64ec5e26, 0x21ba8e1c,
+    0x4e2c4493, 0x7ca61202, 0x263a187d, 0x4b00841d, 0x97dff271, 0x6339a463, 0xbaa3f923, 0x3b4e2088,
+    0xf7901bfe, 0x38c12ef9, 0x6ae84751, 0x6b2b3c3b, 0x2f32557d, 0x13428edb, 0xd82635f9, 0x2088d9b7,
+    0xc546535b, 0xe2a71aac, 0x6b254fcd, 0x6ee34016, 0x3e70322b, 0xfc26fd78, 0xcadf21c5, 0xb37e35f6,
+    0x54f48c3b, 0xc6d022cc, 0xd21964f0, 0xb3e9e95c, 0x8df6c01e, 0x431ee26f, 0x4e38643a, 0x3817c901,
+    0xcf092da4, 0xf2f1736e, 0xa328a4b4, 0xb2b45aca, 0x6c207613, 0x5f2f45e2, 0x617f3995, 0x9791203e,
+    0x625c2735, 0xc0e0c478, 0x6faf323e, 0x04ed1e26, 0x758f136a, 0x795493e8, 0x2ff44b9d, 0x1a7e4b3c,
+    0x69f44391, 0xf6a29dde, 0x4aea8709, 0x8e7facd7, 0x28e2d6cb, 0x6a97a938, 0x74a2f14a, 0x42a6fb0a,
+    0xe1cdd87d, 0x749ddf0e, 0x2ab495fb, 0xb1b856fb, 0xfbdcc8d8, 0xc6e21b31, 0x82ceebf7, 0x349a5bac,
+    0x6141aa41, 0x3991fb2c, 0xebeef94b, 0xe8cd6736, 0xe86afe70, 0xa72add65, 0xb68aa45f, 0xd05f12a5,
+    0x1f8a0e65, 0xa6cbcd5c, 0x3ec1ced0, 0x13f5f5c7, 0x1c3c777b, 0x4a4238b0, 0xc6fb524f, 0x0056a4bb,
+    0x927a801f, 0x452ce1be, 0x2cadce4c, 0x7b075a5a, 0x0c48ecc4, 0x00f648c0, 0x3b8a9895, 0xbf618b2f,
+    0x7f0e0fb3, 0xec096ca1, 0xb6811cb2, 0x91cb604a, 0xd7d167fe, 0x164be153, 0x0fe369ad, 0xfcb47445,
+    0x27c88fe4, 0x45464958, 0x6e7bc2c7, 0x57227a1c, 0xb6c1651a, 0xe0a7d35b, 0xd8269c3d, 0xc7fe020c,
+    0x80d402eb, 0x470f82f2, 0x758c5e04, 0x6a57b1ef, 0x862b03b3, 0x70e71ed3, 0xb62a0b0f, 0xadef9760,
+    0x3e5ce304, 0x05bc46af, 0x60e45f35, 0x980cdb69, 0x21860e17, 0xec87a9af, 0x51caad20, 0x0efea8f8,
+    0x7ece5d17, 0x43fa761d, 0xc280375b, 0x83c11f77, 0x03097e3f, 0x8b3753e2, 0xd3334670, 0xfd7b4bad,
+    0x8f4e8800, 0x89e1ceb0, 0x2d73dcf9, 0x1bb1b7a3, 0x6e2bdec0, 0x0c0604a4, 0x034fe767, 0x3b17c60a,
+    0x409d57bc, 0xc51daf3e, 0xfbb67748, 0x013e2cd2, 0x1e68e73f, 0xefff8efd, 0x75c5fdc6, 0xd87856a5,
+    0x9e4c5b74, 0x1ce5491a, 0x9ae67a8d, 0x956fd839, 0x9b271ebd, 0x880c5294, 0x825b2a98, 0x77e86719,
+    0x0346a054, 0xa1a64f9e, 0xbbb677fd, 0xb43b78e3, 0x1f7e01ce, 0xe92e036f, 0xc2e32c0c, 0x83be530c,
+    0xa0cea000, 0xf2ecebfc, 0x83b4683d, 0x03bbdbe2, 0x7b43f383, 0x02c9d02d, 0xe192e5e6, 0xdcde5b90,
+    0xe5720c74, 0x39eff7e6, 0x15738cad, 0xd3b075b0, 0x6e1de04b, 0xbaeb19b7, 0xd8478162, 0x6ae64e0b,
+    0x2f017e64, 0xfa307eab, 0xf3b21bb7, 0x9a37daa0, 0x433cf55e, 0xd4b00b84, 0x5c3f2859, 0x1897e943,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000148\
+                          21387422376473014217086081112052205218558037201992197050570753012880593911808 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b,
+    0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7d, 0x187a62f8,
+    0x00000000,
+    0xc2b742b0, 0xcf39ae52, 0xe9413bab, 0x950dffce, 0x74289cd5, 0x1ecef3f9, 0x15460c17, 0xe35a2196,
+    0xa01bbd14, 0x13d22e14, 0xc9669bf1, 0xb42c073d, 0x052d74c6, 0x275be4fe, 0x71782132, 0xc0e5046a,
+    0x684941eb, 0x36caca12, 0xa1d9429c, 0x4e2dafb7, 0x0ada8fc7, 0x93d00374, 0xf0f6269e, 0xfa79aceb,
+    0x99fe2252, 0xf6544838, 0xf38fef42, 0xdaebaea3, 0x9a525ed6, 0x74b548aa, 0xe374507c, 0x92d17cbb,
+    0x87e88bc0, 0x3a4070d5, 0xd2dbe17f, 0x9e315d49, 0xd7074aff, 0x13e45dd0, 0xb6741aaa, 0x9540869f,
+    0x0ba8d39a, 0x9c178224, 0x176410e2, 0x0b859735, 0xaaf13f97, 0x46ad49c5, 0xa550972e, 0x668b927a,
+    0x4fdf24e6, 0x1664c6b7, 0xdd7f026f, 0x0609b76a, 0x039f0618, 0xf7320ffd, 0xedc388f8, 0xc54be831,
+    0xd4995e32, 0x3c61b6a4, 0xa3766dde, 0x7671470b, 0xe78e872c, 0x02f505bf, 0x89506a37, 0xfc276122,
+    0x56db1f65, 0x16104985, 0x3110986c, 0xc88702f1, 0xf88de780, 0x70dfff93, 0x46f11a04, 0x455a2e7c,
+    0xf5d8a993, 0x6a354aa8, 0x213c2229, 0xe094603b, 0x83a4f1db, 0x4b5caa03, 0xe5114931, 0x80c34b01,
+    0x17fd21e7, 0x1a9bc254, 0x29130418, 0xc0d2e636, 0x9797aafb, 0x0b4b3e19, 0x86a69398, 0x3641a213,
+    0x90f48230, 0x35b7e3a5, 0x12420e53, 0x475b7269, 0xff7f8f41, 0xe243d47c, 0xdfec5771, 0x11912ca3,
+    0x6b6ec274, 0x6d7a1fba, 0x4c469a50, 0x5fc8a4e5, 0x157433c6, 0x596bb23a, 0x9c6fec1a, 0xc8492c4e,
+    0xdeb16a36, 0xd4dc2d5a, 0x8a34c164, 0x99092509, 0xfe19b177, 0xe11eb55f, 0xe439dde2, 0x9291c33e,
+    0xa0246969, 0xa79a3c1f, 0x961cf06e, 0x2b5a58be, 0xad6a9f36, 0xeb32df7a, 0xbfb1247e, 0xdba0843f,
+    0x965ea8d9, 0x2b48f40d, 0xdf789165, 0xe31e48e7, 0x763eaf4d, 0xbe3879f0, 0x17cde216, 0x3fc41a1a,
+    0x986d85a0, 0xf1ce89a6, 0xc4f67cae, 0x4859f868, 0x603790d0, 0x81083ea7, 0x7140b0dd, 0xe01c1bb0,
+    0x385f6f91, 0xa2556c04, 0xf002a180, 0x592262a9, 0x8232e7f7, 0x258794e4, 0x135d84cb, 0xdbb91ce2,
+    0xc229b343, 0x79bdde95, 0x6c27e33f, 0xd51248c8, 0x82171100, 0x92106439, 0xe2f17134, 0x8f1c3252,
+    0x9cc5472c, 0x1caf6ea9, 0x09d935df, 0x486d0815, 0x73c2b821, 0xa23f486d, 0xb39f7df5, 0x62a1b318,
+    0xb4a355c2, 0x72881224, 0x6c44278c, 0xe754e727, 0x75d6cdf4, 0x5c1b3933, 0x828bd163, 0x60d76aad,
+    0x36695acd, 0xb046d5fe, 0xa03e2bb3, 0x60659b1b, 0xce43eaf1, 0x42d110b3, 0x2be8e04b, 0x40ed4810,
+    0xfb7db7a9, 0x677753f6, 0x20973e52, 0xbc7f1685, 0xf9bef9f6, 0x5d21a811, 0x304e777f, 0x7464d79e,
+    0xa849ff77, 0x22c345e1, 0xdc41e7a0, 0x36b2fb1a, 0x567e0d77, 0x856f590c, 0xb4dd7463, 0x3052ecee,
+    0x3697b315, 0x423145c9, 0xe89584bc, 0xc94baee1, 0x7dcfc74e, 0x0859979f, 0x6591e04b, 0xc5e801c9,
+    0x78a14b2e, 0xc1df6012, 0xf5f4e34d, 0xe1223139, 0x4c33ba62, 0x0c3be5c0, 0xe3f2e89c, 0x6a3c452c,
+    0x418296dd, 0x254abf73, 0x3087ebca, 0x02b2ae54, 0xad1764ff, 0x0eb59f85, 0xb6cbd079, 0x6eff9026,
+    0x12de3152, 0x826df136, 0xf7d1f458, 0x0760e6fe, 0x3c200732, 0xc52345fa, 0xa6843724, 0xcadf06bf,
+    0x7c524419, 0x5832ed91, 0xe40ea892, 0x16e82003, 0x74cccf84, 0xd9428cf0, 0x651ae756, 0x5b9331f9,
+    0x3d096a41, 0xab07daac, 0xd6f54756, 0x57a0346c, 0x87ff71d8, 0x5f9822b8, 0xfd1c1758, 0x0984ae31,
+    0x48c2e9a5, 0x4a2b464b, 0x1febf057, 0x41c151d9, 0x5d505c64, 0xb157b11b, 0xf5ce1309, 0xb090dcac,
+    0x3cac4728, 0x96b57ad9, 0x5f787a04, 0x8b3925cd, 0xc9da5225, 0x00a972be, 0xa6ab9637, 0x466aa40a,
+    0x5ce476f9, 0xd45eebbb, 0x8e7f7d12, 0x6b3648c8, 0xa1face71, 0xc5c2f06e, 0x34a09af2, 0x7a95674b,
+    0x176fccd0, 0x6bdc3759, 0x1dcce77c, 0x1df2c862, 0x893daa39, 0x02f365bc, 0x426ee539, 0xd7aaeac2,
+    0x7e2dc610, 0x4c5df683, 0x575cf230, 0xa4ec6d9f, 0x1293ec14, 0x09ed9d55, 0x645af1c9, 0x467ee98c,
+    0x468c0edc, 0xe8090372, 0x5f50e62a, 0x27dafd68, 0x4347fb82, 0x2e39c273, 0x7a007b92, 0x5a873cfc,
+    0x8549b080, 0x28b69a33, 0x8c523fb9, 0xa769ff61, 0x7d502ea2, 0x6ca26a72, 0xb79b18c6, 0xa820bb44,
+    0x0926d7aa, 0xa8ba494a, 0xf92ec970, 0xfa0290f6, 0xf90e60cd, 0x9a8bfcce, 0x969bca7b, 0x57f4e9ff,
+    0x468485e0, 0xc0dec307, 0xc4b17c32, 0x91eda08a, 0xe6395806, 0xa29b3028, 0x0755b2d3, 0x1ab77595,
+    0x85783fd6, 0xe761d8c5, 0xc9ec25e1, 0xaabe9337, 0xdffdc5cf, 0x98f0f32b, 0xc6b82e5d, 0x795b4c66,
+    0x537c181d, 0xe3d91273, 0x3cc04992, 0x0431adaa, 0xa913480a, 0xd65ec558, 0x53abff78, 0x72180ddb,
+    0x2a7bb887, 0x6a885c76, 0x1f3fdbcc, 0x50709d6c, 0xf48012db, 0x3d69d5d0, 0x900b096e, 0x55c4a28d,
+    0x5b1b0ec9, 0x2c0eaf8b, 0x9bcc5300, 0xf538d8eb, 0xa998dcfa, 0xdde67221, 0xa9e19192, 0xa54d6991,
+    0x8bb438c3, 0x6eb59917, 0x247a41d1, 0x2a44122f, 0x2b999ca4, 0x2827f533, 0x9d7d48c4, 0x7e56769f,
+    0x227b97f0, 0x94d1d992, 0x90add3a5, 0x60f258a2, 0x62dffa52, 0x1b841904, 0xde660605, 0xc955d025,
+    0x3781f98b, 0xa24ef30c, 0xcde1e891, 0x9783a031, 0x82f5f029, 0xf8b16e40, 0x48643992, 0xcecbf966,
+    0xab448be8, 0xfdddc7bc, 0xb20c9310, 0x24a8a6f7, 0x4410336d, 0x1cfaa92e, 0xdcc8fe9e, 0x8ccaab38,
+    0x0d7d00a8, 0xbbc2a885, 0x6932dd30, 0x2356b836, 0xe5d62f53, 0x1e4b0d02, 0x1ac9f4fb, 0x072571d3,
+    0xe5fa2321, 0xc95f3b57, 0xe4119446, 0x2adaa054, 0xb8158d24, 0xd5dd4b90, 0x09c6d650, 0xebb8be13,
+    0x1dc31db6, 0xebc81458, 0xfc68c92c, 0x360926a1, 0xb7b70d92, 0xfcdb1d21, 0x5fb2841e, 0x141ecd46,
+    0xf606360c, 0x1958e847, 0x55b18f9b, 0x3a8d4815, 0x88c57e57, 0xd19a6bc3, 0x8c0f0bac, 0xd8c2363a,
+    0xae2caf97, 0xfa5c5e30, 0x5c039c74, 0x307e698f, 0x453fb950, 0x4d07c723, 0xf1afc115, 0xea0a05c3,
+    0x85d7a189, 0x3a1f8d00, 0x0ab141bd, 0x3034d266, 0x67e6c69b, 0x9f06430a, 0x354cfb3d, 0xd22fd2d2,
+    0x55720167, 0x63e24ef0, 0x2f4338d0, 0x76b6a6bf, 0x5d98bbfb, 0xefc6446d, 0x8990c903, 0x8f88f0b5,
+    0x88bbea97, 0x06b9fe23, 0x0b027ef4, 0x77f64bef, 0x4b53a532, 0x57e8d50e, 0xc3a932be, 0xe680bcf6,
+    0xd5494481, 0x049e5cd3, 0xb8cb4f99, 0x7d0b6b78, 0x7e42dfb5, 0xeb2662e0, 0xd2e90f25, 0x97f0ad5e,
+    0x24418687, 0xfb86a9ab, 0x3990eb26, 0x08d3c08b, 0x6f5012da, 0x27d073e6, 0x54c0c38d, 0x959505c3,
+    0xdca32704, 0x46922c1a, 0x5a4a4c8b, 0xb9f14a43, 0xa938a134, 0x5dbea7d5, 0x0cbc4459, 0x963431fd,
+    0x0c65ff25, 0x22fe211c, 0x8b9a02d8, 0x15a42f77, 0xc92e9555, 0xe12e8131, 0xd445bf50, 0x0ef1a42b,
+    0xeadcdacc, 0xfff90e6c, 0xd7d9f0ce, 0xfb259584, 0x105d002d, 0x31ec847f, 0x86fbab5d, 0xa9df0ebc,
+    0xf27afbce, 0x13aeebe4, 0x66b0bf4c, 0xd918e9f5, 0x9135e1a7, 0xe20015f1, 0xe1a9b8e3, 0x6e6a9e85,
+    0x3f86db00, 0xafd4533c, 0xb3c8b6c5, 0xd3accf35, 0x893ddf80, 0x94d86d18, 0xe3f3b730, 0x7d96eac8,
+    0x806f73c5, 0x63382bb4, 0x21754de4, 0xdb535f36, 0xb83090ed, 0x8a0816f1, 0x5ea3512d, 0xe7fcfad4,
+    0xecaa15d5, 0xf5ab7ac6, 0x4230c168, 0x1ff3156c, 0xa89fb0d4, 0x58dce696, 0x5c27b43f, 0x7f47683f,
+    0xbe469cc0, 0x020d282c, 0x403a20d2, 0xce101274, 0xb283d005, 0xd89ccf27, 0xbba05479, 0x56609e02,
+    0xa3dc1eaf, 0x0ab2fc2c, 0x3c336036, 0x93006e9f, 0x93d2152b, 0x065410c4, 0x127abf72, 0xc0fa052a,
+    0xd1d8e9ed, 0x1dce970f, 0x3044981e, 0x5820cb36, 0x07dfcad4, 0x09bd4791, 0x908ebf6b, 0x96f40a88,
+    0x02df830c, 0x015ff433, 0x55e35ced, 0x963a3872, 0x0ea45dd3, 0xcdef534b, 0xb19ed308, 0x3ccd3e15,
+    0x9353946c, 0xf1479927, 0x453bd283, 0x0eb4ec07, 0xa825bf51, 0x538050f9, 0x3a2d9c98, 0x1adf61cc,
+    0xe614e392, 0xdf719b82, 0xbd8f132d, 0x747b2eaa, 0x16ef7f9b, 0x76e5cc76, 0x61048a7e, 0xbd79c973,
+    0xc06a96c5, 0x8a0d805e, 0x9bf5e929, 0xd031f3dd, 0xef2d8f1c, 0xceaa3588, 0xb35b049e, 0x9324c5de,
+    0x8ab64314, 0x4130c312, 0x1a328416, 0xa09ca16b, 0x76473380, 0x4a55b4d8, 0xad8b25df, 0x8d3eac92,
+    0x08afdfac, 0x3b01a026, 0x2525e770, 0xe56ee5c9, 0x824a6141, 0xa49e1d15, 0xc19bc49e, 0x4e5558f9,
+    0xbd46d8be, 0xbe71a9b5, 0x164e7d04, 0xde571dc2, 0x94107950, 0x2a995f0d, 0x51e77252, 0xfe64b533,
+    0xc23e0a8b, 0x3aac6d38, 0x9346ba3e, 0x2c908f67, 0xe7794b0d, 0xe7a99630, 0xb95c46e3, 0x4a35b21f,
+    0x91b62ba4, 0x5a740a3e, 0xf2c6e8ca, 0x9f3f2e8b, 0x9b0e84bd, 0x06823a62, 0x32e08700, 0xbf3d80ac,
+    0x13d4310b, 0x7937e895, 0x20b77325, 0xfe729b06, 0x87d6ebf2, 0x555002f1, 0x75cbc5b1, 0x7ad9fe20,
+    0x4476103d, 0x46c80693, 0x5952587a, 0x03b89234, 0xe60c85ab, 0x0340c52c, 0x32b5f179, 0x29307da9,
+    0xc9f29bbe, 0xe9e16526, 0xa69869d4, 0x55e9c3aa, 0x188d3b24, 0xfc386036, 0x6536a83c, 0xe70615fa,
+    0xf5fc02e0, 0x57d873b9, 0xe39fa7b2, 0x23160e47, 0x4b3afbf8, 0xbaad0401, 0x0158a00f, 0xf13559cf,
+    0x706feb3c, 0x131f6f7c, 0x4cc1f749, 0x4e119226, 0xa8d1a0e8, 0x13c040a2, 0xc10267f8, 0xb9249f79,
+    0xe8145abf, 0xe08865c0, 0x39bbed5a, 0x348e346b, 0x35efadb4, 0xf7d58895, 0x0358a83a, 0x0dfcb9dc,
+    0x682edde1, 0x59f4b969, 0xed61a7f5, 0x500024ac, 0x7b2f3143, 0x63221ef9, 0x8b467136, 0x0319e3d4,
+    0xe1c775eb, 0x399fe42d, 0xabf11867, 0x9cf59f1d, 0x8cc5ff1d, 0xcc00828b, 0x8a9d9f57, 0x384beccb,
+    0xeff38382, 0x6f4b5ef2, 0x618dec2d, 0xd43046f5, 0xfa5b33b7, 0xa45d9f99, 0x521d13d1, 0xd855252c,
+    0x41dd7ddb, 0xaec9ab5b, 0xfae4f67c, 0x4b139520, 0x292a2ff0, 0x62bafd67, 0x91ceae48, 0x90681fb2,
+    0x667e6221, 0xa4a07f7a, 0x6738375f, 0xee5342bb, 0xea71e74b, 0x35ce6327, 0x1d62f61c, 0x534a6209,
+    0xd4adca6f, 0xa7e74701, 0xbd472c35, 0xc73f2ab9, 0x9adb6413, 0x0f0f38ac, 0xfe20fbc6, 0xf8e3f583,
+    0x5fce01fe, 0x4b86c5ad, 0x4872a3c0, 0xb26f2f3f, 0x799c8aa9, 0xf605fcb2, 0x6cdc5233, 0xbd24a07a,
+    0x9660fb9c, 0xccf4c109, 0x01637eb1, 0x5be69392, 0x0f10b588, 0x76f376ea, 0x53ed8cc9, 0x69206260,
+    0x2832a6cf, 0x5c92912c, 0x7bff94b2, 0xad01394f, 0xca3daa0d, 0x93969a87, 0xc6b383de, 0x09e44bdf,
+    0x67f924c2, 0x1620d825, 0x60b6b8da, 0x11b013d9, 0xbf6a03af, 0xc04ef008, 0xe35e9322, 0xe0cd09c2,
+    0xa1159b4c, 0x9d34b9c4, 0x436babbb, 0x373fcb2a, 0xb6b318d8, 0x10b1b82f, 0xb6d59609, 0xf1ed3d2f,
+    0x747e6549, 0x44d93f6a, 0x5db00fca, 0x85d1fa22, 0x2e376cf4, 0xd692cb21, 0xb7a2db84, 0xfce4e2a9,
+    0xb7f8ebde, 0xc936935e, 0x4c5a9f38, 0x2005bfc4, 0xdfab09b3, 0x453ee893, 0x7a6541a4, 0x62e6e061,
+    0xce4f5a23, 0xb1677c53, 0x153149d7, 0xc2a1c9ae, 0x16bc4366, 0x1c667e54, 0x5efcebf3, 0x28562df1,
+    0x84b958e2, 0x060d9718, 0x6f18c8ff, 0x0dbd60a5, 0x1c33bf01, 0x144841f2, 0x0ed0d82d, 0xd670804b,
+    0xb4df2ba1, 0x39ed060c, 0x0942bfa8, 0x910b55b5, 0x037e14c8, 0x0ab6a904, 0xb4539b27, 0x2b57bec3,
+    0xe020299d, 0x37bdff3e, 0x68428897, 0x01426552, 0xc3943ca2, 0x7d51d2ed, 0x6076b6fc, 0xc9ddc9ef,
+    0x3111ea2d, 0x2a1418a6, 0x29f86ed0, 0x8a32f976, 0xd23a0ee2, 0xebfbaf25, 0xb15cc43d, 0x903c56fd,
+    0xd5c684a7, 0x6e1e6ec0, 0x66d6cf4c, 0xae97abd9, 0x51a157fe, 0xae178fd1, 0x2366e7ca, 0x7afc405f,
+    0xa59998fb, 0xc2861b2a, 0x98ca3efa, 0xfdca6ad3, 0x06873d63, 0x76f8dac1, 0xf498958c, 0x642c2826,
+    0x04a4a6ef, 0x9fed9269, 0xc0217299, 0xe1274009, 0xacb96f66, 0x42521781, 0xac9e7abe, 0x06c8445e,
+    0xe10baa1a, 0x52fca7a0, 0x27287ca2, 0x79520c1a, 0xd0551e94, 0x48d968c0, 0xaa45dcca, 0x6518dc8c,
+    0xe077581d, 0x171a0e53, 0xf90b7f85, 0x2375475e, 0x9e370023, 0x92f2003e, 0xfea995de, 0x004f274c,
+    0x98f7fe39, 0x658e05d4, 0xa017f499, 0xd39eea08, 0xdaa79d0a, 0xbf512605, 0x86db56b5, 0x0c18c4de,
+    0x7dc7a7d0, 0x3bf5aa35, 0x22acee29, 0xb58efd45, 0x9f5e96c9, 0x0f18b6c1, 0x0a2d8370, 0x0323d294,
+    0xb58c4cd2, 0x32485a63, 0x39ddc9a3, 0xdf292bc2, 0xca53c17d, 0x57d93719, 0xa52cf08c, 0x0faced0d,
+    0x31c1b1e5, 0x6a38b60d, 0x3c9c5238, 0xee63ae1e, 0x3d044035, 0x4290d445, 0x09823d78, 0xf51acbe2,
+    0x8e601a79, 0xfcf78228, 0x41c7b6f4, 0x20756337, 0x2c957bd3, 0x15bef237, 0xe6f71608, 0x29d4f60c,
+    0x3f26a7f7, 0xe3133efa, 0x98a99500, 0x3f4f5de8, 0x7b774ff9, 0x7b8eedbd, 0x872c4dc1, 0xaf380ff3,
+    0xf8144080, 0x7939c684, 0x97b3aaee, 0xbfc2457b, 0xccd1ce40, 0x5fabecdb, 0xb1cdff48, 0xdb05ca86,
+    0x78e36f0d, 0x2cac1713, 0xa249e41b, 0x42ba62dd, 0xa5f833dc, 0x046bef6e, 0xfe0c1e55, 0x597d7051,
+    0xf9536564, 0x3fedae85, 0xc366940f, 0xedc15f14, 0x12383769, 0xf7500950, 0xa265fc10, 0xbc5d5d19,
+    0xd0f9abc8, 0xf9e2975e, 0xcb7befdb, 0x6e59e92d, 0x22d6dda8, 0x70a52f0f, 0x0123e38f, 0x7938ae99,
+    0xb2e97d03, 0xae09516d, 0xa8940687, 0x63f372fe, 0x38967716, 0x78ff325b, 0x6c8a7dda, 0x4d0861ba,
+    0xe90d110a, 0xe3387d71, 0xda3b577d, 0x6750df35, 0xf7091d02, 0xc2543e90, 0xc77ed8ab, 0xcc3fe83e,
+    0xa221fa9e, 0x51b71d60, 0x6670a0b2, 0x1761f331, 0x4432042d, 0xd61f1dd3, 0x76ffe568, 0x23253167,
+    0xdd4048c0, 0xb1a89ab9, 0x9287ef81, 0x59e606a8, 0x50a8c010, 0x2f1892fd, 0x06c44cf3, 0xf7d0d86c,
+    0x59b0e9fc, 0xcd086000, 0xaacfc1b9, 0x05986c91, 0xea3372cb, 0xb064a104, 0x3816dbc6, 0x02e749c3,
+    0x657e110e, 0xee0948bf, 0xa977dd83, 0x3c59776d, 0xdffddc8d, 0x8f04493e, 0x80bc2ed2, 0x7f920d1d,
+    0xe7c075fd, 0x60b6a5f4, 0x90c09cbe, 0x5d7925c1, 0xe1f0c471, 0x96b52177, 0xb8b63a50, 0x2dd0c0a4,
+    0x6526bf19, 0x715be386, 0x2b65cab6, 0x838df151, 0xa7d98140, 0xd433a838, 0x41ae8895, 0xd442e607,
+    0xd38dde23, 0x8c2eefb0, 0xc68727f9, 0x88e51df4, 0xc9889eb0, 0x160ad89d, 0x4ceb34f7, 0x2ac90b11,
+    0x691a0a7c, 0x4daf5029, 0x669f2888, 0xbc1d4b99, 0x89ce69e2, 0x8bf8b97a, 0x8022a907, 0x64bfa3b3,
+    0xdb4c1950, 0x1823c4e9, 0x55a6e06b, 0x23dea555, 0xce918ee6, 0x335b5200, 0xc8780944, 0x9fb2dad5,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000074\
+                          10693711188236507108543040556026102609279018600996098525285376506440296955904 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95,
+    0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbe, 0x8c3d317b,
+    0x00000000,
+    0xdf43d714, 0xf68e9524, 0xad3b4cd8, 0x0d450b0b, 0x72f6ace1, 0xd6303941, 0x15f96f00, 0x84205e12,
+    0xdbdd8254, 0x6b0667e3, 0xf7305437, 0xf3d97cbb, 0xe373b68d, 0xc34b78d7, 0x90a95934, 0x0462bb3a,
+    0xb36cb3bc, 0xd614ad5f, 0x02d5ad5f, 0x4a62e6c2, 0x67bb6401, 0x68a543f5, 0xbb68a6d6, 0xf4bcca58,
+    0xd84a4329, 0x3d962595, 0x7669f87e, 0xf29daa2e, 0xfedc240d, 0xe6389d99, 0xb5c22999, 0xe6d95108,
+    0x736c52ac, 0xa0292ab4, 0x695a8308, 0x058ca9b8, 0x31c81667, 0xb643609a, 0xc3a829af, 0x23d0fbdd,
+    0x5029a7da, 0xef3a9ff0, 0xe03836e4, 0x544bc2e9, 0xfbd8b07d, 0x83c9eff3, 0xe8323268, 0xa5d17658,
+    0x094b5d72, 0x1a461cf6, 0x001a34d8, 0xd48edfbe, 0x49f38004, 0x158a55e0, 0x39dd758a, 0xee5d8b3a,
+    0xad1c62f0, 0x43c020b2, 0x655e4df4, 0x548a6032, 0x41f0dd84, 0x2ff40cf6, 0x680740d3, 0x382e0849,
+    0x68de70c7, 0xaaa88455, 0xfed495e9, 0x73b420ff, 0x5751ba37, 0xf5640924, 0x342c6b90, 0xdd74703a,
+    0x62a61424, 0x11b4ab2f, 0xf72d9fed, 0x6ec5468b, 0x04d08985, 0x588061e3, 0xa7de64b4, 0xbcf85ebe,
+    0x594a3aba, 0x25901f3c, 0x65871e0e, 0xe5e413a9, 0xf78a651f, 0xc113c3ac, 0xec15245e, 0x29424131,
+    0x7f5235a0, 0xe6e8b693, 0x19cb0401, 0xb75959b1, 0xdf3bfda0, 0x70c47d59, 0x671b4b39, 0xb92267a1,
+    0x40760071, 0xa6ea18b1, 0x99880321, 0xe11d0208, 0x2b85846b, 0x9801a3ad, 0x7d67ad55, 0x57c89d64,
+    0x49f6545a, 0xf4e742e8, 0x5254fa73, 0x3e5ff494, 0x57b3c264, 0xf1f37694, 0x093a4816, 0xed0a9dd7,
+    0xce377c3b, 0xc3d3ce96, 0x4e28bf46, 0xa3efa36b, 0xec0cc223, 0xd7af8ac4, 0xaab80558, 0x94a875ac,
+    0xf383f924, 0xa96b47d3, 0xa10b0279, 0x80045f08, 0x8c96b5bd, 0x22dc247b, 0xa1157dc3, 0x3a4b990f,
+    0x9cee955d, 0xb6a09aa5, 0x5b3fe6ab, 0xf19e9a2f, 0x350ee4e8, 0x7c54bd65, 0x81f4cad1, 0x484eead8,
+    0x15739d33, 0xe2259f04, 0xd5222611, 0x79bc6ed1, 0x0118b021, 0xdfdbc24d, 0xf50d019c, 0x0665b7b5,
+    0x42e30b29, 0x6c1bf493, 0xdc5fd36d, 0x948e7b5c, 0xaf7233f1, 0xa021fa89, 0x67b51e92, 0xc836393c,
+    0xfa77c028, 0xb8ab8d42, 0x40ba6c44, 0xd7582cd8, 0xf15dfe2e, 0xfaf49562, 0x8794aa6f, 0x1b0f5f03,
+    0x918bf30a, 0x52e2b578, 0xecf50c9d, 0x33ceb5f9, 0x3e068702, 0xff5abc3b, 0xd9998169, 0xdcabded4,
+    0x870352a9, 0x5938d0dc, 0x40b8a05c, 0xc5940e79, 0xb9c7788c, 0xc984eadd, 0x47a67613, 0x339138d6,
+    0x31e01a23, 0x89e29394, 0xc25b0032, 0xfee9b605, 0xf2c7c481, 0xd2aef9d9, 0xe5fc4107, 0xf4a9028e,
+    0x72659d72, 0xcb5141e2, 0x56316d03, 0x31b07b48, 0x8d62ef05, 0x3f5cc57e, 0x56e40d9f, 0x86902f36,
+    0x9fd9d812, 0x7c1aa57a, 0xc6a1050b, 0x759ce29e, 0x9c79851d, 0x85c09692, 0x0cedd527, 0x2b2fea4c,
+    0x0faff787, 0x2401bdad, 0x62b44936, 0x417d32f1, 0x17575351, 0x0b7db8fe, 0xd07e186f, 0x578f2de3,
+    0xdf3f472a, 0x27d33115, 0x9d9df832, 0x1ba7f729, 0x79454259, 0x36bef040, 0x047e428b, 0xfea0165d,
+    0xedf7ba5b, 0xc43cc89e, 0x85833039, 0x905590da, 0x46f1ebfe, 0xdf3f2968, 0x24baa911, 0xde359275,
+    0xe9cda361, 0x459fdad4, 0xbf7c3955, 0xd52f68c5, 0x0fcaa841, 0xce42ac76, 0x5042fe84, 0xe3c880ae,
+    0x907331fb, 0x287907f4, 0xff8324a3, 0x316ffae4, 0xf0bf2225, 0xa827b386, 0xa4f82543, 0x4b2f07dc,
+    0x5b4fd987, 0x0d9bed73, 0x405096cc, 0x6307621d, 0x998939df, 0x4be81ada, 0x0e74ed56, 0x488dffc8,
+    0x7b34d9ff, 0x064a8c86, 0xd073e0ab, 0x544a4fb9, 0xaec4c417, 0x43d712ae, 0x3ece53af, 0x46f056e5,
+    0xb360a8c0, 0xc965b785, 0x8f1b3d27, 0xf0451690, 0xbf00c8b8, 0xb340cbe6, 0x5ce99772, 0xbdd377bb,
+    0x4fa4438a, 0x899b375d, 0x8ca8a091, 0x7b12b548, 0x7d9b7d45, 0x1a7e75ab, 0xb1049a3c, 0x6405d68c,
+    0xbc77f789, 0xe6893682, 0xf7496581, 0xd6284f04, 0x2e4b4d4d, 0xa6430e1b, 0x32a6923c, 0xd9e09c8b,
+    0x0b02d2a0, 0x2c862819, 0xadedb509, 0xd35a3c23, 0x0a455725, 0xf3a3fb75, 0xbda97adc, 0xb7b92703,
+    0xbdd8e419, 0x9005e0f4, 0x89b51748, 0xd3ee75d0, 0xbd6c88ce, 0x7b4d7d6a, 0x0aac7d28, 0xfb06e18a,
+    0xf5595267, 0x63472031, 0xf6287b89, 0xd106e63b, 0x3907c665, 0x0c3027a3, 0x8385a91b, 0x5a19c80c,
+    0xa1185d35, 0x6cfd984e, 0x68b07b99, 0x204bfd05, 0x9ff4aff1, 0x396ab52a, 0x19203525, 0x19a797a1,
+    0x5fef172b, 0x0ab251c6, 0x3eb48ef5, 0x9a7036ce, 0x915d55a9, 0xcd878b0b, 0x197691fb, 0xb24ea70d,
+    0x659061e6, 0x070696a8, 0x354d204b, 0xccfe99a5, 0x45e1e49f, 0x7eba0a92, 0x22679074, 0x3ac6a949,
+    0x4b35ed19, 0x830fc51d, 0x8c015e89, 0x06e4ceef, 0xc78bb233, 0x796e6b53, 0x136f6338, 0x0820804f,
+    0xedddb12f, 0x091e79e2, 0x9e9b83cf, 0x19bca571, 0x9067f498, 0x38e4117d, 0x244e1812, 0x4d5d45c4,
+    0x1e55a204, 0x3a81b152, 0x439a63bc, 0x8a8386a7, 0xdda320b8, 0x19209b0f, 0x99aaa509, 0x472b6a5f,
+    0x335e4442, 0x03df616c, 0x99c3b862, 0x46d5e8dc, 0x76517e9e, 0x8850dd6a, 0x053d063a, 0x14e5ee15,
+    0x660ad8b0, 0xc5345905, 0x117b5ca3, 0x37f14fd5, 0xf962d12f, 0x633058cb, 0xe399424d, 0x5673254f,
+    0x2ecf699f, 0x5b727a2b, 0xe638c502, 0x3b684b9f, 0xef008ff3, 0x2b940ffe, 0x55e413d4, 0x6072825d,
+    0xb65a01db, 0x21aebea2, 0x27bfa147, 0x7d19264a, 0x392d3817, 0x5b46e8ab, 0x65b09179, 0x04cd031c,
+    0xdf55ae17, 0x36c01cca, 0x2e6021f4, 0xfb9eaab7, 0x9e9abd4e, 0xfb7caa0f, 0x4ab35a3e, 0xb5aa4e6e,
+    0xf355c492, 0x4164d3ed, 0xa7ebedd0, 0xc7b46db2, 0x8adc2110, 0x3b83be30, 0xe143f2fd, 0x51e6d61b,
+    0x6735831d, 0x3c2ecd3a, 0xa88934fb, 0xd3c587c4, 0x63389229, 0xc46ad735, 0x3c6e71f1, 0x9f94122e,
+    0x25f541bf, 0xeb0327f3, 0x11596bd3, 0xaa98d379, 0x3d49e4e8, 0xe0e3b0cd, 0x4e91be7e, 0x993b5595,
+    0x6e7f7169, 0xdef07308, 0x9ece71dc, 0xbabae181, 0xeb164da5, 0x35cc7aa8, 0x25771c8e, 0xa75cbe98,
+    0xc552e28f, 0xc5a95324, 0x2b6b7a36, 0x84286d44, 0x176300da, 0x5206f504, 0x4e47afeb, 0x9ddf3fe5,
+    0x095f9b02, 0x50f5e9b3, 0xe689d7a3, 0x76385edf, 0x77d6bbe3, 0x04f64b9c, 0x9406c932, 0xd5a6524e,
+    0xcbe2637e, 0x20e9a7e9, 0x45db49e5, 0x578f3454, 0x1ab06719, 0xff262fb6, 0x6179762e, 0x559a222d,
+    0x42b2ce75, 0x384dc2c8, 0xb5a4b7ce, 0xe7c55abd, 0x81a613bc, 0x291a85c4, 0xaee9470e, 0x7d298f63,
+    0xbd36c30b, 0x342d9bfb, 0xd35a18f4, 0x6c65041b, 0x4189c253, 0xfff4d1cc, 0x616f5651, 0x889f9e2c,
+    0x003bce13, 0x1be78073, 0x6087e80c, 0x4db487f1, 0x7ed65ac4, 0x9f2b6194, 0xcf34686d, 0x6c446f9a,
+    0xd83ffe41, 0xbb1c9f01, 0x586a2329, 0x1f63adaa, 0x938f3c83, 0x939b7038, 0xa220bc05, 0x01b013ed,
+    0x26c053f0, 0x173c60ea, 0x74f95608, 0x3e170f82, 0x4afb3afe, 0x95c669ff, 0xd8f994d3, 0x81c0aae7,
+    0x6b6dbd86, 0x97a09953, 0x726eec60, 0x60e13bab, 0xa02df61d, 0x4fdf9967, 0x4ee257cc, 0x25396869,
+    0xb26f38b6, 0xd538d9f2, 0xa4fbd864, 0x945c8b66, 0x2eab7af1, 0x2735de90, 0x81b24195, 0xb58910c8,
+    0xe2c266a9, 0xbe3b2231, 0xa6ec32f3, 0xbf0cfe0d, 0xfe648bf2, 0xc3b24e6a, 0x7e4a4421, 0x81cc31fd,
+    0x2fa26fcf, 0x9c56e230, 0xc54e2fd5, 0x4be6360f, 0x9e325e67, 0x1c388415, 0x46f4fe38, 0xe9131ed8,
+    0x83ce05f1, 0xf122bdfa, 0xc3e7e160, 0x1341804b, 0x8a7582da, 0xb40cd5b4, 0xbfce2ce7, 0x31ece06f,
+    0x212fa2b6, 0x9048124e, 0x835091b3, 0x338541d6, 0x4fd3b39e, 0x2ae7f46c, 0x81901756, 0xe8274e67,
+    0x79abd22c, 0x333a0613, 0xd1687080, 0x440b5d47, 0xd419a2ca, 0xa7f84fe4, 0xe5a35c0e, 0x90261d59,
+    0x61510e8c, 0x0da3f089, 0xca2354eb, 0x40f99d64, 0xe76640b4, 0x73e72955, 0x77a7adc9, 0x3f258838,
+    0x46ab1961, 0x28224e39, 0x259b5a05, 0xcda446e5, 0xb77499b1, 0x742c27b6, 0x9918575d, 0x69a8a027,
+    0x8d73646b, 0xb90f206a, 0xd86e0b60, 0xfa7e5852, 0xc6da933c, 0x15d90864, 0x7be57e3c, 0xc5db56a1,
+    0x43182416, 0x85bad5fa, 0x8e8181c8, 0x438e0109, 0x6b81f042, 0x76315c70, 0xfed4732d, 0x1d3aa5d0,
+    0x3b6b5679, 0x55a15480, 0x275d553e, 0x8bddf9de, 0x7188c4c3, 0xf69bc896, 0xfb5aa2c0, 0x3555f4c1,
+    0xa09a6348, 0x23900681, 0xabcc8b88, 0x8f56dfdf, 0xdc658fa5, 0x20f7bcff, 0x634b6133, 0x900b28d9,
+    0x961423a1, 0x22785121, 0x208947ed, 0xf907b401, 0x8076e50b, 0x3a3d22c7, 0x4d40a35e, 0xecd32d2d,
+    0x5379668d, 0x78c93860, 0x6747751e, 0x5d1902de, 0x567d8da3, 0x78298481, 0xfa98e177, 0xe678c2e4,
+    0x14e9a6c8, 0xea0d87c1, 0x84511731, 0xc7cef40f, 0x5c3028b5, 0x6bfabfa1, 0x2a4db37d, 0x655b76b3,
+    0x503781c5, 0xce6f1c5f, 0x14c29bdb, 0x9e8796b6, 0xd2017c6b, 0xef30c34e, 0x60dc0adb, 0xace9ce41,
+    0xfdeb3bdd, 0x02c4a1d6, 0x2bd4060b, 0x30d7138f, 0xf60cafac, 0xbcefa588, 0x1f42295b, 0x1492e9fc,
+    0x5313af68, 0x482a088f, 0x84745ef2, 0x65d57c2b, 0x060175b5, 0x511dff30, 0xb562158e, 0xd39c90b4,
+    0xf571f3f6, 0x0d43d23f, 0x43596485, 0x2cd601ab, 0x8e9bacfd, 0x06923359, 0xc4892e56, 0x35717096,
+    0x0eaf8a88, 0x6b6bc075, 0xff2fbc1b, 0x0db84071, 0xdb32e736, 0xaf6f34e9, 0x859a856a, 0xe8d2110e,
+    0xb2afa728, 0xf4671689, 0x22abadfa, 0x56e2ea50, 0x14dbfd0a, 0x54d21ab1, 0x689cf62b, 0xd7152345,
+    0xe9373c8e, 0x579080f4, 0x84c08764, 0x42a6b93e, 0xba782487, 0x255565bc, 0xdeed0be9, 0x0fc2b86f,
+    0x3a278e54, 0xf294262e, 0x447495b2, 0x946d6ff2, 0x476db6ea, 0x068eabd5, 0xfda1111e, 0x6ed4e219,
+    0xd69e618a, 0xa85554e1, 0xe3026e98, 0x70f8166e, 0x23be3ef8, 0x58ec9f59, 0xf21bc622, 0x83809731,
+    0xf6954fbc, 0x627193de, 0x4f7f8d65, 0x4d3f29b5, 0x640e304e, 0x80fb28fc, 0x29b5d1f2, 0x436f45bc,
+    0x8565a41b, 0xce722655, 0x9ed7e168, 0x6de67167, 0x7a430ed1, 0x9fcf4934, 0x0bd2247d, 0x9837dd15,
+    0xa0b55e2e, 0xf9556b70, 0xb4c3bea6, 0xab6052f4, 0xd3ec331f, 0x93560b8a, 0x9ad0e403, 0x2de911aa,
+    0x2d08ae1f, 0xd9f87370, 0x762e7f16, 0x8488b07c, 0x33c2ad05, 0x9cf8d6b0, 0xfb344e00, 0xbbf03aec,
+    0x71266dee, 0xb3782c18, 0xee9f847f, 0x3eff9c73, 0xfe35e66d, 0x825460f9, 0x70854121, 0xcad1b46f,
+    0xfc8d4f5d, 0xe3093d55, 0xe120b303, 0x54fd1745, 0x4e9e2350, 0xeaa885a7, 0xaf729ad7, 0xe1ab7845,
+    0xecd1b5a0, 0x7f6b7ca8, 0xa8e78976, 0x8ca43c34, 0x3d4f23b3, 0xa8264d99, 0x6d169cb0, 0xb05cc73c,
+    0x2935eb34, 0x25edbba4, 0x04de11b5, 0x22b5acb0, 0xe5a17ffc, 0x05a0bb11, 0x8c06d23a, 0x000f4cdf,
+    0x43733e12, 0x450f0e02, 0x82680d33, 0xff373e7c, 0x961d7be2, 0x049b285d, 0x0dd5ca05, 0x592785ad,
+    0x5ada9b2f, 0xb1296260, 0x7b9e8649, 0x4a55ef91, 0xf41aa4dc, 0x06d5bd80, 0x87df18d5, 0x558bd468,
+    0x88106d44, 0x8b39512c, 0x43c313a8, 0x62332ee5, 0x6d5a764f, 0x885ad8bf, 0x014685d2, 0x467e78d0,
+    0x58a0c2ff, 0xbf7fe459, 0x1c2386d4, 0x762b364e, 0x2a0f31a3, 0x324682f0, 0x827746f2, 0xd280e009,
+    0x4d874a8e, 0xc21806cc, 0x5d313ce3, 0xe10f6cb9, 0x382ff299, 0x41fbc4b4, 0xea515761, 0xf1874cb5,
+    0xbb9001ac, 0x1582e3b9, 0x053a6952, 0x4f20d9d5, 0x2af1704e, 0xb31cc12a, 0xda6fd1a3, 0xb1a2e459,
+    0x0d8dc062, 0x3d58fa58, 0x997003a5, 0x2a875273, 0xb149b6f9, 0x335b84ec, 0xb313b4fd, 0x917e20ff,
+    0xe9e0b284, 0x5feb3403, 0xcd4a1dc0, 0x25025983, 0xed729842, 0x9c7d1eff, 0xd801f632, 0xc096e2d8,
+    0x3a935dd9, 0x503ed26b, 0xa638be78, 0xa5384845, 0xafb153d8, 0xbae575b8, 0xb7ba207f, 0x4d413d54,
+    0xf620ebca, 0x754742f7, 0x400775d7, 0x7110c38a, 0xa2ebdd26, 0x871a6d45, 0xcd827b68, 0xa8ff3110,
+    0xc1abcf66, 0x43a2ed66, 0x45e6d202, 0x257f2f9b, 0xd3a133ce, 0xa263d793, 0xaa209bee, 0x2b250ece,
+    0x535fadb9, 0x55675993, 0x2a9c4c9f, 0x60e9b362, 0x8a5751b7, 0x7315fee6, 0x794f47df, 0xdba16f40,
+    0x3cd22f0d, 0x04bde427, 0x19bb72a0, 0x14988f19, 0x819059fb, 0x4caab6a5, 0x54749581, 0x366d3c1c,
+    0x634cbedc, 0x8511d848, 0x78e5f8a3, 0x2379f6f7, 0xb2503e9a, 0x1635f43e, 0xe8882446, 0xbf4a6d31,
+    0xe15118fa, 0x72b4f4ad, 0x143eb628, 0xed1c2d37, 0x2ae74a53, 0xb6629420, 0x44aef74d, 0x79f1dba3,
+    0xcf73f714, 0x12277af2, 0xfa1879d8, 0x72ea7c59, 0x3eeb7340, 0x1f4e7e73, 0xae0b7deb, 0x1d43e520,
+    0xdcb90a67, 0x6ebdeb03, 0x63e2dfd8, 0xda0c5aaf, 0xe9be251b, 0xf63e0647, 0xac7a9f92, 0xcdaec571,
+    0x67a4786f, 0x6f3f0ffd, 0xd7fa09ae, 0x0a8bc15d, 0x35fbb284, 0x82493272, 0xddde8c67, 0x489da73c,
+    0x489f132d, 0x633aa814, 0xae0a8c8c, 0x2000a346, 0x6f97f3da, 0x426c2516, 0xd1d1dc5b, 0x5c7a6070,
+    0x2b89e047, 0x40f8aac5, 0x293b4647, 0xa4119423, 0x4a28b550, 0xd8378594, 0x9e6e5694, 0x47b9455f,
+    0x08663268, 0x09f06c87, 0x0c3aa516, 0x28004e35, 0x82a793f6, 0x2f06a01b, 0xea334abd, 0x063313a5,
+    0xb44b7d0a, 0xac99e967, 0x155eac96, 0xb40f9090, 0xd319223a, 0x6b5ecce9, 0xaed42e43, 0xbbf45257,
+    0xa4ed82fc, 0xbdb0da57, 0x81b67511, 0xc75d7322, 0x04a86f6c, 0x7d5b3f27, 0xc7beb897, 0x30d85a51,
+    0x847dcd50, 0x2b814c74, 0x55ecee32, 0x2175e4b2, 0xbe7c0d15, 0xcd2f0ad0, 0x793b0255, 0xe30c6a16,
+    0x521b2b5e, 0xa85398a4, 0xf2372bd1, 0x27e9c75f, 0x3453b2c6, 0x7de2e567, 0x23242e89, 0x33a08118,
+    0xc226d525, 0x0408bef5, 0xee644766, 0x8caec724, 0x776ed70a, 0x036056ae, 0xb468e0fb, 0x7d012449,
+    0xbd2c422d, 0xfaab0269, 0x69074ba4, 0x8b62d7ba, 0xef9eab5d, 0x343ee04b, 0x9c920533, 0xae6891cf,
+    0xa9ad2ec0, 0xa486ec34, 0xd09915c0, 0x31b2d41b, 0x1781c0b7, 0x55ba7860, 0x4ced1a09, 0x71c42e2d,
+    0x9096e2ca, 0xdbbec382, 0x43aed69d, 0x4a16b4ad, 0xb571941f, 0xa7821e2d, 0xb2145c91, 0x42c6b5c7,
+    0xc42850f3, 0x1b2a3b60, 0xb8f797c4, 0x1da2bace, 0xa20d170c, 0x1f6e28eb, 0x912d72c5, 0x908d5fa4,
+    0xc2c3a72a, 0x4ae95422, 0x5a0385c3, 0xefa7639e, 0x4be61313, 0xa575b749, 0x6fceaf73, 0x67bde090,
+    0x863326ef, 0x43226dd8, 0x806f4944, 0x5fda1e41, 0x73f7596e, 0x5dbcffd4, 0xc9e656a6, 0xec2acfbe,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000037\
+                          05346855594118253554271520278013051304639509300498049262642688253220148477952 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca,
+    0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfdf, 0x461e98bd,
+    0x00000000,
+    0xa90cd035, 0x3ed3302d, 0x1db7c3e9, 0x9ada60c5, 0xd3cd75f3, 0xe2415c47, 0xcf50a3d9, 0xdce4bc4a,
+    0x5aa26a6a, 0x26444f5f, 0x151d620a, 0xf24273bc, 0xe5daeebd, 0xe751d65e, 0x43456a86, 0xdc0786fa,
+    0x4be97876, 0x470556bd, 0xd395a428, 0x8826f5d3, 0x68aa0f8f, 0xd4fe90ea, 0x57bcd47b, 0x260adf12,
+    0xb01249c9, 0x41c33e54, 0xefcc1691, 0xea63150c, 0xe6138fde, 0xb8993cee, 0xe4b2e93a, 0x7b7fdbe1,
+    0x331706d5, 0xbeea1f69, 0x04004f1e, 0x2e8ebef5, 0x21d7cdf4, 0x146a9f5a, 0x5ce5901d, 0xeb391cb1,
+    0xc5e5b143, 0x165b7e6b, 0x33c67541, 0xa9977bcf, 0xda1e5cfd, 0xcadef01a, 0x026b4b17, 0xabcdd4b6,
+    0x80e329a0, 0xccf5d6e0, 0x61797791, 0x1fca5572, 0x751f2fef, 0x24f897c6, 0x67a11eec, 0x627aa416,
+    0x30973cc2, 0x9528bdbc, 0x395e372c, 0x9c43a210, 0x2ebeb4ef, 0xf48557f0, 0x74fbd0a1, 0xb10f96f0,
+    0xa88cd66c, 0x704101b3, 0x94d754ae, 0xcbb1c64c, 0xc44e51b5, 0xd3eeae52, 0x075a14cd, 0x5af9cce4,
+    0x08959235, 0x094f97fd, 0x8c7c3758, 0xb9bb1687, 0x9d5adacb, 0xd6e3916f, 0xcad101b8, 0x174669c4,
+    0x7c19536f, 0xd18ecb2b, 0x85b18d3a, 0x586b9431, 0x17bedbdd, 0x3aee36d8, 0xb15c63ca, 0x55a5d205,
+    0x52d50f27, 0xfe61d7a5, 0x9c538b25, 0x6449b724, 0x8d132dd5, 0x6b41514d, 0xa448ccc5, 0xabd2704b,
+    0x1c958e02, 0xb76e7a2d, 0x46af20b4, 0xd0d38764, 0x837fc342, 0xfd759ad3, 0xaec9be58, 0x7eb43751,
+    0xd47aff4c, 0xd9be8f22, 0xaa402447, 0x9ad24e6a, 0x4dedac30, 0x03461568, 0x72f58335, 0x3c14d6dc,
+    0x1db65b6e, 0x899a40cb, 0x13a2232c, 0x494238b7, 0xffc725ae, 0xa0a92f17, 0x504b8588, 0x5e0c0e53,
+    0xcfb749db, 0x16ed2a26, 0xe9e1a8aa, 0xf545ece0, 0xd592c3da, 0x5a6f4826, 0x3dd1f721, 0x81f14f22,
+    0xb9e0b493, 0x34bf8c00, 0x2c4f8902, 0x139fddc8, 0xe5d716bd, 0x5a3ff51f, 0x882ad91c, 0xc7f5281c,
+    0x942754b7, 0xd78c6bba, 0xe0338349, 0x8a819d77, 0xb35df957, 0x95319c03, 0xec508771, 0xefe10cb2,
+    0xa7a38aa8, 0xdf373c31, 0x6e39343b, 0x7efc3822, 0x54b00423, 0x8ed85fde, 0x6acd227a, 0xd93688d1,
+    0xf8719ad4, 0x3f4c9495, 0x66d0b1d8, 0xe382e555, 0xb4b82851, 0x4fe7a465, 0xcbab92b7, 0x623e0094,
+    0xe03ecd63, 0xd1384553, 0x12209f9f, 0x5c785387, 0x68349658, 0x1f810998, 0xa258a2c6, 0xc2aacb22,
+    0xc7af5336, 0xfe66744e, 0x925c28da, 0x617e7b5e, 0xf3bf8a1b, 0x9827714a, 0x90a450a5, 0xd05c1b1d,
+    0x902534f2, 0x44695acb, 0x524ece32, 0xe868b90f, 0xf7ba8d5e, 0xd3270408, 0xf669665f, 0x9899f6af,
+    0x7404c3f5, 0x40cf4434, 0x4a6468b3, 0xb4596504, 0x8f8c56f6, 0x8b208c9f, 0xe14ac5de, 0xd1f67741,
+    0xc0f9f0c4, 0x848b478a, 0x60530526, 0xb76fd1fc, 0xc7e6636f, 0xf4e21286, 0x414e7918, 0x4236a674,
+    0x5e4013bd, 0xab87e028, 0x41a7a046, 0xf35794f8, 0x38feb17f, 0xb13cc58a, 0x675703b7, 0xbe2caa49,
+    0xeebcfcb5, 0x8d4f2810, 0xea7188ad, 0x4995f604, 0xdf1dad65, 0x91a6d4de, 0x9f72ce9b, 0x111eeffb,
+    0x78620a53, 0x0a2007d7, 0xd1bbf912, 0x609e0d10, 0x7a9dce90, 0x32d24b80, 0xfa2a78fd, 0x84d543a5,
+    0x43990dc9, 0xe7c0e755, 0xc4d6bf85, 0x38fd702d, 0x1bd6544a, 0xd6ad24a8, 0x7c3942a6, 0x3c19a16c,
+    0x8e0ddf9a, 0xe175c7dd, 0xcc466450, 0xe5568ea8, 0xcdfa39b5, 0xcc061b07, 0xe7a3e970, 0x7506d8af,
+    0xffdad70e, 0x5e4eaaac, 0x7631f859, 0x645ca55e, 0xcf76f64c, 0x99016457, 0xcfb93f81, 0x656c9784,
+    0x860f52fc, 0x34e83696, 0xbe887bac, 0xde161011, 0x7faf8224, 0xd519b268, 0x783d2ecc, 0x502748a3,
+    0x6dda6e97, 0x49641b84, 0x4200a51e, 0xfff33acf, 0x644ad22e, 0xce86377b, 0x354a0a91, 0x741cc764,
+    0x2c238336, 0x3641703f, 0x87a04b41, 0x97a4f1a0, 0xce442372, 0x451d2565, 0x9b4eeb5a, 0x0b6ed041,
+    0x054423e0, 0xa41c356c, 0x01d9ecc0, 0x0874f0f8, 0x71168fd4, 0x07fd6073, 0x4ec48810, 0x2db61399,
+    0x887d44fe, 0x5adcc20d, 0x894abb31, 0x0fda095d, 0x30ea9fc3, 0x8e1a33e8, 0x36d0652b, 0x54bb7af8,
+    0x7d03336b, 0xfc13e46f, 0x0fee1dca, 0x4b87770e, 0xf804853e, 0x139e2921, 0xa601406c, 0xb34e36dd,
+    0xfca616f5, 0x3cc83106, 0xe54eb592, 0xa3f61525, 0xebdf871e, 0xc8ba1b7f, 0x51f98e86, 0x5893002f,
+    0xe6ba0121, 0x5ff41ae0, 0x724fafc7, 0xc85292ca, 0x3e71cacb, 0xa2ed947b, 0xf684a55f, 0x8f4393f4,
+    0x3f18336a, 0x5da52793, 0x04ffca8f, 0x5ee34892, 0x9f65289b, 0x057c98ce, 0x13c2377c, 0xfc2bc06c,
+    0x6cc92ca9, 0x4f4ef682, 0xb33d1154, 0x095a686f, 0xa44bfac8, 0xb9ee9dbb, 0xc00ad6b1, 0x17e63aec,
+    0x906dd648, 0xcc028d13, 0xac04d62a, 0x55c87c4a, 0xeebe5ecd, 0x4a317fdc, 0x152140cb, 0xf7fdcea2,
+    0xf4103603, 0x600a69aa, 0xa0887f79, 0xff079e87, 0xec9f5bf3, 0x8efb9d8c, 0xf8c70dfb, 0x177f0451,
+    0x6e6235f9, 0x7279566e, 0x5afebbac, 0x5f2d8c2e, 0xa9d21360, 0x92d7790a, 0x03d3e6ee, 0x668ddb79,
+    0x18d2b112, 0x21fa48c6, 0x9ddcb9c1, 0x4fa0290d, 0x1228f8ea, 0x03bbba26, 0x15e0e3af, 0x05146c93,
+    0x53790b24, 0x678e6972, 0xae7ae217, 0x2e661b0c, 0xc6a65e89, 0x7e06da5d, 0xbdbb1c0f, 0x1bab0889,
+    0x010f3ec7, 0x2ed24888, 0x2a802b58, 0x0c7e4d19, 0xd52fd5de, 0x7f745eeb, 0xc0a41f00, 0x1b2b939c,
+    0x9ffe90d2, 0xf82e4fa4, 0x223acebf, 0xe9a8f0a7, 0x2b6d6025, 0x7ae17b57, 0x1eb3fd14, 0xe44b25d6,
+    0x2ed038f2, 0x949c4ca2, 0x74f33646, 0x19844505, 0xdd8c5762, 0x067a51be, 0x5ba07377, 0xa5bade6b,
+    0x2de53331, 0x692c776d, 0xcc9ed19d, 0xbac49ae9, 0x96b05bf7, 0x16dff003, 0x8874b24d, 0xe705e04a,
+    0xcf5af2e6, 0x9185f39e, 0x2b281b3d, 0x5fcaef6a, 0xe7c67447, 0xc21b75ff, 0x75ecb583, 0x79758796,
+    0x31a6a128, 0xafa873cb, 0x50863dd3, 0x90dd4ba9, 0x11c32268, 0x53d9b15a, 0x9bf05360, 0x16994b13,
+    0xe335c5a5, 0xbd6495ec, 0x8df03e2a, 0x5fd4d558, 0x6d9c13ad, 0x7f917e57, 0x944dbaca, 0x8e041717,
+    0x76717067, 0xa4d12e7e, 0xd2876d0e, 0xe512b2b5, 0xcb219cba, 0x4d2621bf, 0x07aa6ea5, 0x2706285d,
+    0x39ecf6a9, 0x408cc432, 0x9bb00b9f, 0xf7db0f9d, 0x50dbd250, 0xcb1a1334, 0x82c03829, 0xb7f781fc,
+    0x8b02040f, 0xd9d7959c, 0x6b5ca884, 0x9ab042fc, 0x34dec76f, 0x869d1ab1, 0xc1540bd5, 0x33de44b2,
+    0x3ffee3ca, 0xd77ceb34, 0x5082649a, 0xce8f0ddf, 0x0fd1caab, 0x06a74b0b, 0x57d29499, 0xa241c147,
+    0xa7ab4df1, 0xb0ecd5ad, 0x57b9de62, 0xe5772d32, 0xe891d4e7, 0xa67a4c9d, 0xd15d3831, 0x38382da5,
+    0x5e580cf0, 0xd1bda16d, 0x16a61c5c, 0x0bfd0eb5, 0x80afa2ca, 0x9e95ede8, 0xff41cb94, 0x81de925d,
+    0xbbfce5a3, 0x53f61574, 0xd8c8e46a, 0xfa10b414, 0xafcc175f, 0xd3b89ecc, 0x5a287fe8, 0x229d734c,
+    0x8a087f92, 0x40a2c2fc, 0xc98ced85, 0x18313eed, 0x1a3f5996, 0x16ea0d69, 0x7f6255d0, 0xe95cecfb,
+    0xa8abf710, 0xf8fe8ef8, 0x89f3125d, 0xa220999c, 0xd424f871, 0x0f02db05, 0x83ff750e, 0x34db21a8,
+    0xe7201d7d, 0x399023e0, 0x813d14fa, 0x12493233, 0x38d245ff, 0xfeda6f6d, 0x8fc44f3e, 0xa6f43a23,
+    0xe990cd4f, 0xc5d44f9e, 0x31a97ec7, 0xc50a376d, 0x9d0730c5, 0xa14a27b2, 0x72108b8c, 0xd08b43c9,
+    0x9528b55d, 0x63ff09d7, 0xe9af9102, 0x05846f96, 0x31b8ce94, 0x2efdaf86, 0x5b136f30, 0x293b5207,
+    0xe0f22863, 0xe0c3b776, 0x0cc38d29, 0x940dcff8, 0x888e3d7a, 0xf6def6ac, 0x40e28975, 0x8e0dfd04,
+    0x56addf28, 0x7e02a027, 0x909c90df, 0x2b599c94, 0x834000f6, 0x2cce1c49, 0xee325ce9, 0xf264ae2a,
+    0x60d0a314, 0x3fc18809, 0x029b019e, 0xdbda35cd, 0x5796cdf6, 0x4c0f4569, 0x5d0abdf5, 0x4dc83e82,
+    0x5a6a2dc5, 0x793701a5, 0x5d9d0e0c, 0x54581b53, 0xb47c0d19, 0x4032a4e4, 0x308efdfc, 0xf606fae4,
+    0xa8fd322d, 0xe3952104, 0x265f6b2b, 0x3e4c9048, 0xe00dc1ac, 0x013150a2, 0x87febedc, 0xabaecf3d,
+    0xadb16715, 0xf849fc55, 0x3fbe88a4, 0x6dea5646, 0x3182ad4a, 0xbda36c87, 0x9d9bdc1f, 0xc9979fbc,
+    0x0f6fd8e9, 0x75600333, 0x9b08415f, 0x3669dbd5, 0xd2b13c51, 0xba6e6175, 0x09f4ebc8, 0x3f26d3d9,
+    0x5da2a8d4, 0x110f75a3, 0xd4664f04, 0xf9521588, 0x2c0909d2, 0x91487fb0, 0xf4352d7c, 0x68840c7c,
+    0x57b2fa68, 0x3885fc67, 0xc8b436ba, 0xbea2d6ed, 0xbdf4af0f, 0xd0e19c25, 0xbdcfa155, 0x487a7d0b,
+    0x859884d5, 0xb8c2a1e6, 0x99105c6c, 0xd29e74f4, 0xbfe39148, 0xca368d54, 0xbecdc26b, 0x1e08b212,
+    0xb761dc6d, 0xab46de0f, 0xeccf05f8, 0xc1296028, 0x7d881d38, 0x730c9af1, 0x2b84704b, 0xc332cde7,
+    0xf1fc8b86, 0xdde1432a, 0xdbbf46ec, 0x4aed398b, 0xf5b750ef, 0xb6c27d09, 0xc9ee61aa, 0x17cd74a4,
+    0x4040b0e7, 0x3e8bccd1, 0x4b9a3f48, 0x5b09a5a9, 0x2e40f827, 0x2713d76e, 0x4fc9b51b, 0xcefb8d23,
+    0x341de486, 0xe3aff7df, 0x915d0ca0, 0x67622a40, 0xd1e6de5d, 0xe60322f7, 0x70f6f042, 0x3a90ba1c,
+    0xc5a7ed03, 0xbed8878c, 0x9444e0c9, 0xee465f0a, 0x4faafaec, 0xce8434bc, 0x5c9ab2fa, 0x6611365a,
+    0x20eb91f9, 0x10fd3b64, 0x91310be7, 0x7b126aed, 0xb31edb9a, 0x5385f54a, 0xe11b5c28, 0x3d9ca45c,
+    0x613ca21c, 0x26df8dbe, 0xbaae342e, 0xa06cc85d, 0xc9fe206a, 0xb0ce57f0, 0x78da75ed, 0x912c3f3b,
+    0x5229c236, 0x731cef45, 0xbba44dea, 0xa51f341a, 0x91dd7d4a, 0x86f88e51, 0x93cb14b8, 0x37383914,
+    0xe629a61b, 0x2ee8910d, 0x49878384, 0xc773d04c, 0x50f63cd1, 0x0a662046, 0x78e24e36, 0x39fce6ba,
+    0x5c9d22aa, 0x75bcb948, 0x57037d69, 0xb06af1d7, 0x030181de, 0xb9d969ae, 0xb25fbdb3, 0x02b18454,
+    0x4bacd590, 0xa9070fc7, 0x255a2271, 0x9ef5f1c8, 0x673aac75, 0xd55eae1d, 0x5245ab0b, 0x05144f16,
+    0x2e33f06c, 0x5f97df6a, 0x15cd2919, 0xe5981377, 0x7cfc0a50, 0xa0f83346, 0x59cfb1b7, 0xe44b44e2,
+    0xb673bea3, 0xe91227f0, 0xc1eb05c7, 0x3b0adc58, 0x219e8916, 0xe13baa43, 0x535cb26e, 0xc7e56069,
+    0xff59e564, 0x3adf78f2, 0xe36c6330, 0xe854a3a1, 0xe8c9b037, 0x932ab12b, 0xac44155d, 0x9f525cae,
+    0x2683470a, 0x17c17731, 0x72334afb, 0xc9b3761c, 0xff33b186, 0xa27e0571, 0xaba9fdad, 0x3e1c782e,
+    0xe5bf0597, 0xc47689c1, 0xb3122d58, 0x36882953, 0x2b89ecbe, 0xf648844a, 0xdd1e39b2, 0xcb14bcbb,
+    0xa79c3e36, 0xc1973f33, 0x149f5934, 0x093e83fd, 0xedd35c2f, 0x4a32457e, 0xfa54ee1d, 0x05b5357d,
+    0x2395232f, 0x94d28d56, 0x678d37d3, 0xbc5b8139, 0x6c9afbec, 0xc88a21fe, 0x32f94813, 0xe65284dd,
+    0x68e6b5ca, 0x94d9b1cc, 0xe24c406d, 0x1083ab9e, 0xd501deb5, 0xef37a806, 0xd76a07cd, 0xdb751373,
+    0xc81ae35b, 0x69231d48, 0x1bb330a2, 0xe1e56040, 0xbd090416, 0x62d1ea39, 0x3806e3b7, 0x013492d1,
+    0x560637e2, 0xcd3db319, 0x11ccbe51, 0x9131cc0d, 0x88bb9730, 0x36754e16, 0xd5b84cf5, 0xb30ae567,
+    0x9313d3a0, 0x08a5ab89, 0x0af882ad, 0xbebbe2ba, 0xef695b49, 0x0b5e95a7, 0xceac760f, 0x7e59a75e,
+    0xda506863, 0x6f7b649e, 0x226f9388, 0x8c09e116, 0xc2978f68, 0x281c1867, 0x5020bf40, 0xf12bf51c,
+    0x6f667bff, 0xf1aea80e, 0x7e924f6a, 0x7a425a25, 0x4ee447f3, 0xd4f30fec, 0x9a3dd69a, 0x0ac705bd,
+    0x7bac039a, 0xe4dd10f1, 0xa318d808, 0x17fd7182, 0x04dddb17, 0x743ccd23, 0x19fc2719, 0x2cfc1ea8,
+    0xeba132ce, 0x019dc451, 0x33db0521, 0x73a607fb, 0x3ea43ad4, 0xcc22860f, 0x8b2f7b77, 0xacc4be60,
+    0x7b33bb48, 0x620a1934, 0x5e166a96, 0x0aea26cc, 0x4517bede, 0x18a6b2f2, 0xb04c363f, 0x9978854f,
+    0x5423b8a0, 0xb591d186, 0xa08ea363, 0x5d072367, 0xf8b57cad, 0x7e82c8c4, 0x5d4caac3, 0x1284e638,
+    0xc610ad18, 0x009938cb, 0xc3f1004e, 0xf436fec0, 0xf959857f, 0x30a20644, 0xa3914070, 0xbde1a558,
+    0x85254785, 0x4d7b629b, 0x77b0c087, 0x4d960dd9, 0x89e09060, 0x4ed424ae, 0x367fb238, 0xc1b16bc0,
+    0x5afd9b9d, 0xb12afdf2, 0x3a5e51a9, 0x9d350438, 0x2cd9aa2a, 0xaa6245b5, 0x5fbef6cd, 0x00110922,
+    0x7d9b523f, 0x06e0827e, 0x66b24c81, 0x91ed76b9, 0x2c1644b2, 0xa8dbd67a, 0x94ef1f0b, 0xecaa83e5,
+    0xf2d7bd1c, 0x67797134, 0x5ba2a21b, 0x442f5434, 0x9a5c6eec, 0x90d1c2d1, 0x50c2933c, 0xf17c0c52,
+    0xac34d0ef, 0xc002f2fe, 0xd16e6a61, 0xc510fd2d, 0xec1743dc, 0x3c62b965, 0xd628e229, 0xea8aa2a0,
+    0x5b470a2d, 0x35eb7699, 0x10064e3c, 0x95a6fcc9, 0xc0f0d0be, 0x94abe164, 0x9fc67df8, 0x7178c84a,
+    0x8df84c94, 0xc5b1aaa2, 0x294d33db, 0x7d4c5c30, 0xda64ec0a, 0x1e12b0c8, 0x19d44fad, 0xccb05b44,
+    0xfd7af984, 0x78dfa3e1, 0x4f77aa56, 0x804b6fd8, 0x858848ed, 0x2ddf31a7, 0xdfbb67d6, 0x4b0e4a86,
+    0xfcfa8ae2, 0xee17d5df, 0xc3aeaa7e, 0xc93a20d1, 0x6065245a, 0xceecc6d7, 0xf4fccdbf, 0x3d4882ff,
+    0x2b008e2b, 0x8576fec6, 0x29f9a4ea, 0x3155dabc, 0x13f81e27, 0x8f14cf55, 0xf9565126, 0x83ff0549,
+    0x1619ec36, 0xb1c7c5da, 0x84602ad4, 0x24d75102, 0x852473ee, 0xdc4087c9, 0x14836d3a, 0xbd8637fa,
+    0x84967d01, 0xd0d91de6, 0x5f33ab0b, 0x6320d3b7, 0x80e738f2, 0x0712bcce, 0x9a71308a, 0x9c082fab,
+    0xf3d732ee, 0x58d98760, 0xcc09d4ba, 0x651a9d12, 0x29791d25, 0xc643dd41, 0x436a08eb, 0xb4b94f16,
+    0x2fd71de9, 0x48c66b5a, 0x7d095f82, 0x8d4e1275, 0x9cf3ef41, 0x35f72402, 0xeb8fa337, 0x2932d194,
+    0x22a1dbfe, 0xe549679e, 0x18942bb8, 0xd75f192b, 0xefaeecc9, 0x72818563, 0x3476d623, 0x925e10f4,
+    0x9b2a9532, 0x48b71941, 0xa194390c, 0x92292d8a, 0x6547487a, 0x4cc90096, 0x84d98a6f, 0x2016bf65,
+    0xa232c6f7, 0x43c93541, 0xb69d9b2a, 0x61625387, 0x6b13266c, 0x0cd90e63, 0x99a6b417, 0xedeb8e4e,
+    0xd508a7eb, 0xa0a8a3c3, 0x2171ceaa, 0x4f23d6b0, 0x524190b2, 0xc27d85dc, 0x11105525, 0x03f2f976,
+    0x6e15be97, 0xfe0fb586, 0x6a10a32a, 0xe8b61184, 0xf76d9fbd, 0xc0c3495f, 0x8e91c6a1, 0x52482741,
+    0xd64bd666, 0x8cd8bc82, 0x8954f548, 0x7a2023b2, 0x0e54a749, 0xb2dfe339, 0x878209d3, 0xa1b1028a,
+    0x6e6c4b8d, 0xf6c0b74a, 0x99de1476, 0xd7d8d0cb, 0xf47b6d47, 0xb9402952, 0xae0cac3c, 0xd5594167,
+    0xf3ca4655, 0xb587fa25, 0xcce4b5c0, 0xf08886eb, 0x0b24b59a, 0x9b2c536e, 0xca631c2a, 0x825c5049,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000018\
+                          52673427797059126777135760139006525652319754650249024631321344126610074238976 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5,
+    0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fef, 0xa30f4c5e,
+    0x00000000,
+    0x931998da, 0xea917d50, 0xf521369c, 0xbe02107f, 0xb5386718, 0x7c4ba605, 0x8c882520, 0x2e38a29d,
+    0x49332b68, 0x59b387fb, 0x2caa0a75, 0x0e27a6c5, 0xeed7e0fd, 0x8e19d338, 0x85718689, 0x1fc24c76,
+    0xf7cc5211, 0xcbe325bb, 0xd8c6cb7b, 0x49c4a7fe, 0x8d226cff, 0x99c31000, 0x3a4415ba, 0xeaca2527,
+    0xf504fb64, 0xb46a1a75, 0x2f3185e8, 0x46680f54, 0x5dc8f9aa, 0xebfb9ce9, 0xf33dbdac, 0xc0e0f1b7,
+    0x070cdac5, 0x76708d4c, 0x30d9a401, 0x5b950109, 0xdd81b8c0, 0x98fc6940, 0xef36996a, 0x8ace026b,
+    0xb882f865, 0x23058e10, 0xcc3e84b6, 0xd3489d3a, 0x63d1a5be, 0xb10922fb, 0xd5bf3c7c, 0x00eb2bbb,
+    0xc735a1bf, 0x7ec29115, 0xaebd2a63, 0x5de629db, 0xbcb9af27, 0x4e9b87a1, 0xc9d8ab99, 0xfd19af6d,
+    0xf2513670, 0x440070fa, 0xe1da619d, 0xa568a929, 0x57608699, 0xecf51ba7, 0xa52c3c77, 0x57ec4ffe,
+    0x86bee1bd, 0x839fdb2d, 0x5500682b, 0xbd295a9c, 0xe00e5cca, 0x69cf7814, 0xd4621db5, 0x4b54eded,
+    0xae44fa46, 0x0f8b235e, 0xc95170a5, 0xdcbbc256, 0x30c2d3f8, 0x9dff7e4a, 0x7e666f8f, 0x98aa2b14,
+    0xf157ac2a, 0x5ccd9f54, 0x2f1a28a1, 0xf0914b56, 0xd55c4e62, 0x9892c269, 0x2716b503, 0x042d4f67,
+    0x9aa67271, 0xf055c871, 0x887eeb22, 0x78811a70, 0x95a50ede, 0x27d39dc9, 0xb8c5a49f, 0xd736e869,
+    0x9ca287d3, 0xc3d34aa4, 0xf66d57e2, 0x957f39ae, 0x93cd38c9, 0xd64db5dd, 0x90754773, 0xc6b9d7f5,
+    0x914e4d51, 0x7e0c35ef, 0x4157fc69, 0xef688317, 0x663b6743, 0xf803f48b, 0xc1d8c359, 0xbe8df5a0,
+    0x83809d6c, 0x345f0df2, 0x02b91e97, 0xf535e28b, 0x0375fe10, 0x56f37968, 0x3f745772, 0xb809f3b6,
+    0xbd98d4cf, 0x676c2ec7, 0x0d87311a, 0x632e9c70, 0x37a3c8d8, 0xab71e2a1, 0xe05ce935, 0xe32bb810,
+    0x1e7f2bf9, 0xd095908b, 0x540df254, 0xec7a1963, 0x31a87351, 0x4a829959, 0x354928cc, 0x36ae3f46,
+    0xb19a8b87, 0xbcdf05fe, 0x4d37ac52, 0x7e3d9961, 0x40db2867, 0x0eb8d194, 0x5f4de761, 0x7516f8bd,
+    0xd2206661, 0xf5ca41b2, 0x730332f4, 0xdf364c50, 0x4f1946df, 0x07a3f479, 0x22aee34c, 0x0dd4437c,
+    0xe2a04160, 0xafcf47a6, 0x33181c09, 0x4047155e, 0x7571dadb, 0x22dcc2eb, 0x8d53f295, 0xbe548c55,
+    0xd8eb2d42, 0x23f265d0, 0x79e13f6e, 0xb4c3b201, 0xbed05051, 0xe3124b9f, 0x72a6fd0c, 0xc059405a,
+    0x6f5840ee, 0xa157e876, 0x59b82b88, 0xbc26ebe6, 0x077465a3, 0x31ac9dd0, 0xfee083b2, 0xe63d76ea,
+    0xe37abaaf, 0xd0358424, 0xf3f803b1, 0x07716c6d, 0x38cbfcf7, 0x16835cfe, 0x49129173, 0x25301219,
+    0xf28c2ca9, 0xd36ce65a, 0x3d34fa73, 0x3cc771bd, 0xa748abce, 0x27d13045, 0x0c7d5c01, 0x06a960f9,
+    0x2e423f1b, 0xb777a98b, 0xb0f60cb1, 0xbdc29ada, 0x091cca57, 0x648d6262, 0xf7568915, 0xdeb5a40d,
+    0x28bf2bac, 0x7c25804d, 0x16794161, 0x802bf1b9, 0xa4b2f435, 0x29ca39fa, 0x90cfd48d, 0x746114ba,
+    0x4608b939, 0x5c8f79bc, 0x3e35d43d, 0xd36d1fea, 0x5a087c3f, 0x8cc98cd9, 0xd2ffb6a6, 0xc2d91da3,
+    0x4e16e233, 0x9c609111, 0x358c7128, 0xc2dd2353, 0xa75ac42f, 0xe89bf3d1, 0x0d4c3a46, 0x15511440,
+    0xe262899b, 0x9f4cfb6f, 0x66900273, 0x65e7c4de, 0x25c45a29, 0x0887a8b1, 0xb5b536c0, 0xbb90e728,
+    0xd03dadaf, 0x989d111b, 0x00b3c852, 0x1439f284, 0x8b636b4c, 0x5d041920, 0x0f099712, 0xef21bdd4,
+    0x624abc0e, 0x662383fd, 0x51a67d94, 0xb444f7c6, 0xc3bf0e7f, 0x4743efda, 0x72e35183, 0x053ad4e3,
+    0x55e4efac, 0x778522c2, 0x642a80e1, 0xf0d55093, 0xd593f1a0, 0x04aaaef9, 0x640049a9, 0x8f580700,
+    0xfac17377, 0x712cf43a, 0x329619ae, 0x773ab4a1, 0xf5c9b1a7, 0xc1675162, 0x56853eaa, 0xd715ddee,
+    0x768f20b7, 0x3dfa3f37, 0x8de25f8e, 0xff8f7cd0, 0x82f73172, 0x384c08a8, 0xbf8eb989, 0x8a451686,
+    0xc9fbaa42, 0x9eae71ac, 0xf765ecc1, 0xd99cad43, 0xc877f521, 0xf0d43561, 0x63e06deb, 0xd21a45db,
+    0xf3dc970a, 0x19ff82df, 0x08d703dd, 0xf10c3632, 0x4f01c765, 0x83c2c9e8, 0xccf415b6, 0x93e9f198,
+    0x209cad19, 0x4fbfe5d5, 0xf6c0d0c6, 0xa415a5c9, 0x807f7df2, 0x11d3bc5a, 0x385faa6e, 0xef089bb9,
+    0x0a945725, 0x4e0c1795, 0x593b9c56, 0xad408bf3, 0xd87bde66, 0x17a6bbab, 0xec56e21a, 0x41642db9,
+    0xcd1ced98, 0x3c52f410, 0xa5024039, 0x45150865, 0x13b4a45b, 0xcca7cf01, 0x1be9693a, 0x6d1dfd2f,
+    0xfa079345, 0xb63039dc, 0xd04bb3ef, 0xb7af5962, 0x794c349f, 0x2edf853b, 0xf47bd0b7, 0x56546875,
+    0x5a503341, 0x795d1881, 0x6cc731d4, 0xa272285b, 0x0d262187, 0xaf80242c, 0x3206648c, 0x6ee7e321,
+    0xef238315, 0xc6ba7f36, 0x37873c20, 0x1188c719, 0xa6950216, 0xd6aee0dc, 0xb8b8fab4, 0x14c13075,
+    0xe73232a9, 0x817e4049, 0x1c345b7c, 0x3982366b, 0x60d2cb47, 0x03da0abe, 0x2b43df31, 0xdac5de7c,
+    0xfa64420a, 0x52625422, 0x41a89cd5, 0x87fd91e7, 0x01a9c61d, 0x79cf3473, 0x13d3c83a, 0x894f1bbf,
+    0x7f46b43e, 0xc4b643e4, 0xeab0e46d, 0x7ecc77ec, 0x3e1e789d, 0x533e8faf, 0x482190a9, 0x29af4525,
+    0x49710afe, 0x15dde234, 0xf79e223e, 0x605e04d4, 0x9f8cfd52, 0xeb19a9da, 0x68b08e96, 0x7ecf0d3e,
+    0x77b22dd6, 0x0855b063, 0xd27af0a3, 0x8645cdef, 0x0e405759, 0x262ceb4b, 0x1d7e9b35, 0x10be8b85,
+    0x15c925a9, 0x537aefa3, 0x38880baa, 0xd3659612, 0x2ac4411c, 0x96536652, 0x69fa654e, 0xe04e17ed,
+    0x8d6a8aad, 0x968116b5, 0xe93ba41f, 0x95f54a4c, 0x9d84ccce, 0xfb3aade1, 0x425ad508, 0xe9bcf026,
+    0x288f39f2, 0xf5db5277, 0xa6f67319, 0x60338cf6, 0x5054187f, 0xbb63f92d, 0x2f71fa72, 0x211463fb,
+    0x36b695a8, 0xafdf1096, 0xdd80ebb6, 0x2c4c2ed3, 0xbf4fcb6a, 0xc443e365, 0x5fe7e5db, 0x2b2e73af,
+    0x082d74a8, 0x8ace26e7, 0x61f22469, 0x0d3782e3, 0x1d6c3104, 0xb4024021, 0x3b4c3f08, 0xbeec24a3,
+    0xca907f36, 0x6f90727b, 0xc9856209, 0xe1ab809c, 0x7428ec25, 0x2d638fb5, 0x18d84455, 0xfe38c625,
+    0x9dc4b5d4, 0x47cfa6d0, 0xf41714d3, 0x1794b00f, 0xceae8248, 0xd5cc9994, 0xb2c00dcf, 0xe4b1a408,
+    0x364f3450, 0x71609148, 0xdc5514a0, 0x07a0a560, 0x43a002ec, 0xe3d47624, 0xf0811b8c, 0xd747ebd3,
+    0x12e25119, 0xbaf4767d, 0x54256158, 0xf74cf070, 0x7002c151, 0xf5173826, 0x0b0ce7c9, 0xde5d817c,
+    0xd8ea170c, 0x7b6eab58, 0x7747c2ee, 0x6221ab6c, 0x0ab96819, 0xc73441b9, 0xa865dcbc, 0xe6cd2945,
+    0x6bcfd140, 0x98e2cac0, 0x9db2dcc9, 0x95f20f75, 0x4f63fe8b, 0xc4521c3f, 0xb8867d1f, 0x42503597,
+    0x42c913eb, 0x8bcbec60, 0x36409257, 0x9e41fa2c, 0x0ef02576, 0xe56f4eb7, 0x9da50331, 0x9509bae1,
+    0x7ca34488, 0x26fca684, 0xb2ddc000, 0x044fe30d, 0x4887c49e, 0x93679b1b, 0xef5fec07, 0xc7c0633b,
+    0x315219f4, 0x69059bf4, 0x57c14768, 0xc627583d, 0xaa9b89e6, 0xcc703a19, 0x1f0890c6, 0x334ec361,
+    0xf48fa9e6, 0x6d8a8069, 0x4bf3f59b, 0xc0b7570f, 0x70baa93e, 0x84b10014, 0xae352f67, 0xfb1d042d,
+    0x37389565, 0x6b4ef5c1, 0xd3ef9f8a, 0x30482ade, 0x8896c806, 0xe3093ce1, 0xb116d95c, 0xff24e62a,
+    0x9aae192d, 0xf7b10fda, 0xae5f3833, 0x8c08f573, 0x56e08610, 0x6fe4aa34, 0xb6fd5b0a, 0xe462f464,
+    0x796aa9df, 0x1aaeaa3f, 0x57872f75, 0x2ae7e8dc, 0xc94727fd, 0x82c6b672, 0x387da007, 0x22637639,
+    0xb3dbc267, 0x56587a62, 0xdb7a6ae3, 0xf216a5c4, 0xf15e0261, 0x87e1e447, 0x6d33e92f, 0xc99bbf53,
+    0xd5d3829e, 0xc7b9ff0f, 0x7aeb2e4a, 0xe0e12ed7, 0x7124a939, 0xd1a4571a, 0x686bd05c, 0xced3b2a6,
+    0xd594d661, 0x91dbeaae, 0x48c9248f, 0xd60d1763, 0xa227eaf0, 0xa57e3033, 0x385c9aa6, 0x341ba99b,
+    0xc9754f97, 0x2b83b0ad, 0xccc94881, 0xe0a3f497, 0x77f58011, 0x44d9bd16, 0xe2cdb23d, 0x8d0edffd,
+    0x9e30c4c6, 0x6c192afe, 0xd5dcc768, 0xe9d9f239, 0xd4c442cb, 0xb41622ac, 0x75c3e0d7, 0x2d9bf04b,
+    0x22cb4eec, 0x729a0782, 0xf8800f7b, 0x9aef824d, 0xf790ba4e, 0x40a11d6c, 0xb5739e89, 0xd8ce9b70,
+    0x9b5856ae, 0xf858f8d7, 0xf011a63c, 0x598dca39, 0x39a8bb8c, 0x54bcd218, 0xe548baff, 0xee6adece,
+    0x1d73ad71, 0xd4b3ab96, 0xc4f8c023, 0xc40ee6bf, 0xdd0208f8, 0x40bae3c8, 0xf34e1c3b, 0x85542333,
+    0x185443df, 0x04c2d7c2, 0xc7052843, 0x3414bd98, 0x768b4e36, 0x6093e090, 0x5a878ba6, 0xa4a9fb8f,
+    0x2061d79a, 0xe187e7c1, 0xd82732b5, 0x3249d349, 0x8198a618, 0xab983cc8, 0xacafccd7, 0x41829895,
+    0x481a83de, 0x19692673, 0xebd28500, 0xf9d72941, 0x1133defc, 0x0a21b53e, 0xdfe6c987, 0x0f1861de,
+    0xd480947d, 0xc7956cfd, 0xab9561f4, 0x9c2a9c9e, 0xe5d76434, 0x63bae145, 0x83408d0d, 0x7d973f77,
+    0x73eb2add, 0x31635833, 0xd0f6741a, 0x0a000bb8, 0xb9346d34, 0xc344924b, 0xc57598e8, 0xa532c4a8,
+    0x21ed4d5b, 0xf22a5146, 0x52cfd400, 0x9d9d1cbc, 0x360ec1fc, 0x3b21a083, 0x45003747, 0x25ecbb6e,
+    0x21f12e5a, 0x01594837, 0x46c2cfb4, 0x31141960, 0x7c2a8216, 0x3ef4d47b, 0xd5b69622, 0x7865b7f8,
+    0x36fc7cb5, 0x3692c466, 0xab5089cb, 0x6201cd44, 0xf7b5ea04, 0xed1c6589, 0xd9721425, 0xb2d64b2d,
+    0xa2d40024, 0x5f3fa6c1, 0x22f94c78, 0x0ef88a87, 0x525c7e09, 0xf30fa1fa, 0xdbc2292f, 0xefa77d95,
+    0x57792fbe, 0x5082c776, 0x6fa48f4b, 0xc80b76e1, 0xed88f4a6, 0x64e4c18b, 0x7f65144d, 0x67d479b5,
+    0xe6857c14, 0xedf4183b, 0xb2b33142, 0x6d060f85, 0x7127e2a9, 0x55e060e1, 0xced824ad, 0xe60abef8,
+    0x760a4b26, 0x434ec158, 0xce7ae8fd, 0x25f8c83f, 0x2055b0e0, 0x18001573, 0xc7c058ce, 0x21ca0899,
+    0xade52d21, 0x66fd4894, 0xc23a4dc2, 0x4a8f1a87, 0xa274286e, 0xe56d1160, 0xed913657, 0x23ae7beb,
+    0xbf428013, 0xd10145ae, 0x14fa833d, 0x1e2d7fca, 0x3668db01, 0x6e9f3476, 0x83ee8198, 0x4caf6f10,
+    0x4e7a859f, 0xb156c955, 0x9acd579a, 0x7db40c47, 0xed02d82a, 0x887ebd35, 0xfb48011d, 0x423e84c6,
+    0x6c165426, 0xacd33d70, 0x34a6500e, 0x0562b6fe, 0x8dcf6ed1, 0xa6169e7b, 0x965b4fa2, 0xdb5f9841,
+    0x7bd68699, 0x4d22fe61, 0xbb49a3be, 0xc788833b, 0x0d35f902, 0x5b9f5233, 0x24ea0fa7, 0xbc76c997,
+    0x75cd7307, 0x97c0d203, 0x461acf33, 0x332c0b79, 0xdd565be7, 0x74a11337, 0x4cb6f4d5, 0xe576325f,
+    0xf51f987a, 0xa10a73e6, 0xb9bc7ad4, 0xe030e8fb, 0xc2544057, 0xa7b7b474, 0x745703e5, 0x4cbd76a0,
+    0x639ceb5e, 0x8f640399, 0x356667df, 0xf829390c, 0x17aa1c1b, 0x4afd26cb, 0x6cdd8bbe, 0x7ff196f7,
+    0x443ba945, 0xd3aa56d0, 0x84bb4fb0, 0x52f11ab6, 0x3abeed0d, 0x24b71c28, 0x1e814000, 0xcd625bf9,
+    0xef776d18, 0x5d960e13, 0xc916eac4, 0x6cafe24e, 0xcfbab35f, 0xd0d75d96, 0x0ecdbdea, 0x6fecceac,
+    0x810b6657, 0xd4103d93, 0xec96ac0f, 0x94433312, 0x80025238, 0x9ba8a332, 0x05b44b79, 0x8942e650,
+    0x3b6d9521, 0x96eb3a15, 0x7a3bc372, 0x63136fc8, 0xb5fc3347, 0x3cbd43bd, 0xe964f896, 0x2a4d150d,
+    0xa7e32d2b, 0xcab1261f, 0x62ed1ef8, 0xc32bce6e, 0xf04e269f, 0x613579be, 0xf3f50b0b, 0x7ca607d0,
+    0x2c0b6bd4, 0x5a80a7fe, 0x523ce58f, 0x27f83b70, 0xf2c8e6af, 0x351bd0c5, 0xecf7ffae, 0x02ef5c05,
+    0x5b76af64, 0x3caf6e28, 0x89735605, 0x613711cd, 0x4135dd9d, 0x99cbbef0, 0x64f2cf7c, 0x3f2f7a36,
+    0xe38a08d2, 0xda65d6fc, 0x775ca4e6, 0x9361c447, 0xb107b3bf, 0x9105c43e, 0xb74cdb2a, 0x44228a5e,
+    0x817d6bd4, 0x5f7fb965, 0x6447dc58, 0x18024ba9, 0x779626f0, 0x198411e0, 0xbf9b9ca8, 0xa74db879,
+    0x69173bf9, 0x1abe7dc7, 0xbd86fc0a, 0xaf601882, 0xd61ff67c, 0xbd999bcc, 0x7b131ff6, 0x38016095,
+    0x3d05690a, 0x4f5daf84, 0xc34194eb, 0x670d8f2e, 0xca47c7c7, 0xa1dfb85c, 0x74a236e1, 0xb28d573a,
+    0x940ee8dc, 0x996b8a65, 0xa3dbecc7, 0xf9de271a, 0xe185c2d5, 0xf123f116, 0xcba53d27, 0x8eb93c95,
+    0xf82131b7, 0x608b4210, 0xdfee156c, 0x8539eb1e, 0x2b29cf09, 0x18bccef7, 0xc8b608a3, 0xb3064567,
+    0xc3f4ece7, 0xb0fff54e, 0x2e33d03c, 0x83c06f52, 0x11e2fbee, 0x34c19bd0, 0x8d6d9df9, 0x9203d7e9,
+    0x7a0a9ac9, 0xf1384a9a, 0x898729b4, 0x094ea06b, 0xbb5c8fad, 0x8f2d9dbc, 0xe8a93a6d, 0xcdac81be,
+    0x507b8066, 0xe8fe277f, 0x65bf5ba0, 0x4334e81a, 0x6fde973d, 0xd6b28320, 0xb05df670, 0x12a541db,
+    0xf2db8eff, 0xe40093c9, 0xfd048afd, 0x23a6dc5c, 0x16c359d7, 0x8c0221d2, 0xa41eca47, 0x5f98c537,
+    0x18e04e41, 0x41c833b9, 0x6441264b, 0x4d0f3686, 0xaa3f8cf5, 0x2acb90ae, 0xcc75f9c4, 0x871f94ba,
+    0xd9b03f34, 0xe294cd3d, 0x7c226f97, 0x2dfd816e, 0x29c64adb, 0xcc18957e, 0x53ea15ec, 0xcfb1b0a4,
+    0x3428fcae, 0xa25e05b7, 0xbad6d45c, 0x19111c4c, 0xb533add2, 0x5e50fa73, 0xda0d1cd7, 0x5aab6206,
+    0x992c9f60, 0xd994e35a, 0x1fc06503, 0x14238ec3, 0xce78fef5, 0xa80b67f3, 0xcd957462, 0xcf7e176c,
+    0x73feeb8a, 0x188b9c0c, 0x28f07f2d, 0x77ba3b78, 0x5f3fe47a, 0x8929dedf, 0x37942281, 0x7398809f,
+    0x6e64ddda, 0xe372122c, 0x57552948, 0x4e837a30, 0x7fe74bf8, 0xcf8583af, 0x4006bbd8, 0x63ce60f7,
+    0x688dda29, 0xc77e6bc5, 0x224964a1, 0xf8c16212, 0xa9d305e0, 0xb8f707b2, 0x584ab31e, 0x2ca73ab7,
+    0x68361054, 0xfa4118a2, 0xe4cc9947, 0x83852be6, 0xf8a63f51, 0xc850d54a, 0x087c5f0b, 0xf5a1dbfa,
+    0x85be8a27, 0x9b119a14, 0x1d7f7f5c, 0xfb4fd79a, 0x1951bacb, 0x9107ba46, 0x4853b5b4, 0x0a6f0348,
+    0x3b11d492, 0x29d12f0d, 0xd8766366, 0x29d21af2, 0xbf296301, 0x59a069db, 0x1d19c052, 0x7cb67000,
+    0x7f0b6617, 0xfca3b619, 0xc877be31, 0xb3b6b5a0, 0x7ff6d7be, 0xc208f00c, 0xaf81edc0, 0xd39f87db,
+    0x9251ff92, 0xa0c44e8d, 0x27abd445, 0x98d98bd4, 0x157dbcfa, 0x6177437b, 0x36a100ef, 0x0f9a0a05,
+    0xfe8aed17, 0xaf1c665c, 0xc18fb0d5, 0x6c711587, 0x28f6ad87, 0x76a77c6f, 0xaa0514c0, 0xa57de751,
+    0xcbdb1c68, 0x3250ceb4, 0x66f722cb, 0xce78cfa1, 0x6bfde38f, 0x6e61def1, 0x7da7ce0b, 0xba26371c,
+    0x8ff2ad26, 0x0ec226c5, 0x17586afc, 0xc97b38ef, 0x583dee84, 0x88ad59e0, 0x7c601b9b, 0xbdf82b7c,
+    0x7bab7fb5, 0x113d85cf, 0x5a326607, 0x21122a57, 0x4f5f8d08, 0x9ec2d215, 0xa1f179a8, 0x2585f66f,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000009\
+                          26336713898529563388567880069503262826159877325124512315660672063305037119488 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2,
+    0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f7, 0xd187a62e,
+    0x00000000,
+    0xc20e3f61, 0x99347cac, 0xe291ddea, 0x847fc286, 0xad5ef864, 0x64f9e0cb, 0x71671eeb, 0x6df27291,
+    0x36ba62d1, 0x4d008f17, 0x15a7b9e9, 0x29c7619f, 0x83e7663b, 0x7e4c733c, 0x4b96687c, 0xae6d1afc,
+    0x9d5b6323, 0x6f698adf, 0x46334802, 0xb0d73b6e, 0x94e71553, 0xc9aa1653, 0x216d4b2c, 0xa6d92261,
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+    0xe90853ce, 0x9e7f716d, 0xbb252a5f, 0x758bc83a, 0xa695bcc2, 0x3aa99e92, 0xc926be38, 0x33ce9c29,
+    0xc9fc26f1, 0xf36d5480, 0xe6e68a56, 0xe1c557a1, 0x4bb648f8, 0xc9f7b349, 0x3fb70c51, 0x2a8ba031,
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+    0x80ebec34, 0x0956ca74, 0x587bf337, 0xb3f009a0, 0x2ceafa53, 0xf319ec59, 0x9b1adc39, 0x0daae630,
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+    0xb8586e02, 0xfe574aeb, 0x30782a4b, 0x13ef90bd, 0xb40f93a0, 0x67533719, 0xceb6df91, 0x9224afb5,
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+    0xbdc82718, 0x199e571c, 0x752e3179, 0xa417a0fa, 0xc08cbfe5, 0x13d3a538, 0x11b00320, 0x3da5f1a7,
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+    0x2912df02, 0x4395673d, 0xef26a75f, 0x1bd65088, 0xd377f411, 0x1c800d73, 0xb20c6bea, 0x62593ab3,
+    0x0ae78262, 0x6cfa2c85, 0x2e8fc3d7, 0x9269db84, 0x5165da7b, 0x727750a4, 0x19b6452e, 0x56d15ae6,
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+    0xf37ea411, 0x44c6e40e, 0xc768b6f8, 0x97963900, 0xdf4b95b1, 0xe89323e1, 0xe520a9ea, 0xc6385213,
+    0x1513e015, 0xdec0edbf, 0xc39bfb3e, 0x02de41cb, 0x6beb85d8, 0xd91a8511, 0xf461c2c2, 0x493a9c60,
+    0x3e8874ad, 0x85494611, 0x7685e99d, 0xdbbd83bc, 0x8fd5fd82, 0xf6fcefa8, 0xed0435ea, 0x510ce101,
+    0x064a33e5, 0x7269836c, 0xcb2dc631, 0x316b388d, 0x237c2159, 0x838a1400, 0x000d6c7b, 0xbbef68c7,
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+    0x64d26783, 0xf385f38b, 0xd4868816, 0x4e15e3e0, 0xdc081834, 0xf6d4a353, 0x4ef16efa, 0xb58ce978,
+    0xbe6b316b, 0x29146611, 0x5a31ac69, 0x0d397c89, 0xe909550b, 0x21a3fb28, 0xb60c213c, 0x051ba68f,
+    0x5045ef29, 0xbd190f34, 0x4869ede9, 0x5543f76e, 0x74453b50, 0x314fb596, 0x70ca8f14, 0x41ceeeff,
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+    0x1b0e5211, 0xe23786ac, 0xd3774611, 0x3fcc2157, 0xbcf9c244, 0xf1af8ea1, 0x9802ca90, 0xc6314ba3,
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+    0x26f70ed7, 0xaa67f026, 0x88614486, 0xd30c8070, 0x32ca4089, 0x04fda0ba, 0x0d298751, 0xa7e26763,
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+    0x2d358ace, 0x3daee4b3, 0xf59ef4ee, 0x448c723e, 0xa264eed2, 0xc9061833, 0x55f76bc8, 0xa6256e14,
+    0xb543cbfb, 0xe290e61a, 0x4efb5b59, 0x5bab9e02, 0x69739ee5, 0x132a9861, 0xcc9331c1, 0xb490f26b,
+    0x38dea23b, 0x99e1fd92, 0xa5e95a37, 0xa04ba70b, 0xf680b851, 0x213cb6b0, 0xdef64b8b, 0x16ca3326,
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+    0x57294202, 0xfd630286, 0xf94726ea, 0x7191689b, 0x517db7dd, 0x0b4c6e3f, 0xddf668ad, 0xcdaed53d,
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+    0xbc3ac1f0, 0xf2b90186, 0xc070d821, 0xa8e2b76b, 0xafe38493, 0x4cd86856, 0x28e63b35, 0xbe3b5d3c,
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+    0xf15eb94f, 0x9fb79fdc, 0xd1808f75, 0xb9635022, 0x02bac0fc, 0xb9f13860, 0x501aa248, 0xe71f3b4c,
+    0x52c637ef, 0xacf5447d, 0x4f9bbde1, 0x4fe7e9f8, 0x4a5f693d, 0x6c8b746e, 0xcfc8a696, 0x1b2786bd,
+    0x79417038, 0xa680ef82, 0x01e15ea0, 0x216436a2, 0x9b436057, 0xa7b4230a, 0x765df0b6, 0x13d2684f,
+    0x96d17526, 0xe658ea07, 0xb9743720, 0x7f8e06e7, 0xa6ef05e0, 0x2fc15b38, 0xd3057a52, 0xa7efbb03,
+    0x31f8538f, 0x9775bcb8, 0xdcea9235, 0x52973b6e, 0x5468ab88, 0xbc4e0967, 0x416551de, 0x6c67e7ca,
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+    0x92ee6640, 0xab8ce702, 0xbbe08083, 0x758de777, 0x8f0bbc41, 0xa07657cf, 0x2e3816e3, 0xc1b8c50e,
+    0x37c54a9f, 0x3fda5a5c, 0xbaa7e33c, 0xcef7a334, 0xf770d6b0, 0x84386791, 0x3cc8001d, 0xccc13d3b,
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+    0xd8478e09, 0x6cfde039, 0x08b8c859, 0x6c8816ec, 0x24b348ca, 0xdebebaf3, 0x4e442642, 0x2d14f448,
+    0x687dafc0, 0xd364591a, 0x7570dbf5, 0x48192aea, 0x3b5e58f3, 0x6575889e, 0xd1c45e2d, 0x492c0dbc,
+    0x59f150e6, 0xa0407b1d, 0x45de563b, 0x220b88a5, 0xc8d1b1d8, 0xbd106b90, 0x97fcfdd4, 0xadcd98ab,
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+    0x91d07044, 0x7fe7dd9a, 0x8f666ce1, 0xeec0bfb8, 0xb9d0fcaa, 0x28d52987, 0x769c8fda, 0x8a992dd6,
+    0xd13c1383, 0xe92099ca, 0x677c6d1a, 0x38dc4d4d, 0x3cd35243, 0x33944de4, 0xbe8e7fa7, 0x7e5bde6b,
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+    0x02fe1e36, 0x8bb5e039, 0xd4e31371, 0x3f73f6fd, 0xc4da811e, 0xc12d3a79, 0x1c69c9fe, 0x134d18f5,
+    0xe873730f, 0x6823e408, 0x5d61a59e, 0x5fba1bfd, 0x7a43ce0b, 0x6da462dc, 0x4e4c7c86, 0x4fa9242a,
+    0x07cc688b, 0x06c91467, 0xde3a53aa, 0x6be5591d, 0x8ec18816, 0x20ab2fa6, 0xb5b36d85, 0xf41e6747,
+    0xce1232ce, 0xadd31774, 0xba3f26f2, 0x030c72da, 0x7c85745e, 0x50b2ab88, 0xa3e3db2d, 0x3a326285,
+    0x179e062f, 0x3de626cf, 0x28925515, 0x0a20ce10, 0x24619e1b, 0x087ff06c, 0x2160d24e, 0x7700f746,
+    0x367f4c2e, 0x4e5600e3, 0x1c6e1e22, 0xf344f64b, 0x284e9622, 0xdd9c96c2, 0xb4b3c613, 0x7b1b9cf3,
+    0x662d0982, 0x57fbff5a, 0xcb20fdab, 0x97066f39, 0x70f7c6dd, 0x474966aa, 0x48b9fee9, 0x97570009,
+    0x1a7f282a, 0x7c7e5dee, 0xda272462, 0x37058302, 0xdcdb6851, 0x31b3aa8b, 0xf49c93c1, 0x480e7d68,
+    0x8f3d9a52, 0x6fc18dae, 0x59641e15, 0x2a660811, 0xa550e04d, 0x552cb5a0, 0xd221fd52, 0x97f311e8,
+    0x0a4775a5, 0xef2c76c3, 0x26e6f799, 0x0a300cee, 0x9d55a7b3, 0x4bd0b046, 0x1bc034ff, 0x17748190,
+    0x62280020, 0x019cef23, 0x23b0f1b7, 0x5fff2225, 0xc848f154, 0x1092f198, 0x87198a1f, 0x5d85dc77,
+    0x6fb1b4c2, 0x3ef3d447, 0xf1a47ba3, 0xb82213fa, 0x19849885, 0xa40f8bf8, 0xa0322434, 0xafa92f80,
+    0x91b7450d, 0x748e25d8, 0xc0220ea6, 0x7f5eb1f6, 0x03ec5f9d, 0x1964ce38, 0x76dcd9fe, 0xd699a2d8,
+    0xe12aca36, 0xd3ac597c, 0x47cb85b7, 0xc7aa7a21, 0x628c9856, 0x7c605c33, 0x5fdea702, 0xa47465a9,
+    0x21381200, 0xbd3f85c7, 0x032b1d39, 0xbb65af8c, 0x58f93e29, 0x81c1bdee, 0xa048e5b5, 0x4d11f981,
+    0x67a854e7, 0xf74f3c93, 0xd5f714f3, 0xfdf0c249, 0xc359398c, 0x40d64b41, 0xf445f166, 0xfe06ad7d,
+    0x5c7456a4, 0x41d9d46d, 0x98949507, 0x07e114fe, 0x48ef7037, 0x809324fc, 0xd5d4e4f1, 0xed44a522,
+    0xab0d6bfe, 0x49028a67, 0xb618b456, 0x570ef1bc, 0xef56617d, 0x72aa45a9, 0x9390ed9b, 0xb3dab1b6,
+    0x121245f2, 0xb7de5b9a, 0x2eff5dc7, 0x0f002e64, 0xd99a51e9, 0xd601906c, 0x7b170a87, 0x4021b3eb,
+    0x62eb77bc, 0x6b03ff97, 0xfdd10764, 0x80ecbefc, 0x8bbada31, 0xc2da2e3b, 0x784c1c25, 0x3a2c8a4b,
+    0x0c25bc82, 0x65718a5c, 0xdc2377dc, 0x504d2c14, 0xaa152258, 0xf533ba52, 0xac59480e, 0x08f7f7ea,
+    0x89079537, 0x58268410, 0x7df22137, 0x57793cdc, 0xaebdf1e4, 0xcdacb863, 0x9fb4c90f, 0xa6e90b83,
+    0x3895dad3, 0x169d4ae6, 0xb59bf91f, 0x05dea328, 0xc91505f8, 0x54da019a, 0xccf83834, 0x256ec604,
+    0x55154dd1, 0x02840db2, 0x7af9197a, 0x4402326e, 0x3b13f282, 0x72973f50, 0x05012aed, 0x829322d5,
+    0xaf9ba690, 0xb537eec8, 0x632ff925, 0x0d0e5783, 0x572425bc, 0xcd6ab81d, 0x4d940325, 0xaf47243f,
+    0x609000e0, 0xbe9ab52c, 0x7988075d, 0x3ecba7aa, 0x13ba17dc, 0x848810c7, 0xebdc680f, 0xfded60b4,
+    0xacd4a2ee, 0xe9eb1012, 0x4c4fc013, 0x1e493d2c, 0xff0fe08f, 0xcdfb0819, 0x7b7affe2, 0x3f1f408e,
+    0xb8c66749, 0xd1101945, 0x1c48e526, 0x9dda3931, 0x03ad905d, 0x9e1a3740, 0xf4d81296, 0xc3fb7cd5,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000004\
+                          63168356949264781694283940034751631413079938662562256157830336031652518559744 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9,
+    0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfb, 0xe8c3d316,
+    0x00000000,
+    0xdee2dc73, 0x19743073, 0x2d8f0321, 0x5618ce3a, 0x986ebd41, 0x94f6fdb8, 0x2cf99903, 0xb49e20dd,
+    0x7c64a002, 0x86e67059, 0xe505ddf2, 0x4c6507eb, 0x9fe2015d, 0x1ed9d6aa, 0x0cf5c44d, 0xd800ad82,
+    0x5675e7f6, 0x2d999d13, 0xdf311339, 0xf01884f5, 0x5336a898, 0x3b047527, 0xb41b762d, 0x7d2f3689,
+    0x9042b1bb, 0x400c3f25, 0x1b04bf47, 0xf35bd35c, 0x1638616f, 0x5a53b882, 0x0ccd3c16, 0x8a3cf35a,
+    0x81a8a64a, 0xe12cd747, 0x47ca31f6, 0xb3d0821e, 0x4177adb9, 0xab203134, 0xda3f2e02, 0x9aeb0589,
+    0xcb5af727, 0xa060ec50, 0xa8bde311, 0xc441f1bb, 0xe93862d6, 0x1bd77d6a, 0x021bc901, 0x176b362c,
+    0x498f54f9, 0xc73583ba, 0x184c3a54, 0x8cd3fb72, 0x1887a741, 0xbc9c2cac, 0x7ca2c383, 0x3112d36f,
+    0xac9c2ac7, 0xd867ef58, 0x4c72ddc0, 0x9287cced, 0x6a16ebaf, 0x3eb33f44, 0x30d23535, 0x0f6a838a,
+    0x8e6c29e4, 0xe762a8d8, 0x1a51ca0e, 0x7c053c77, 0x3e4a73df, 0x43fee9f1, 0x01c47d35, 0x5fbf56bf,
+    0xf39ba398, 0x6b1459ea, 0x95d26c22, 0xff7a7a4c, 0x228d8db9, 0x4b604bab, 0xd3ceaddd, 0x99d5a147,
+    0xc1434549, 0xf46f1ebe, 0x7eaf6bb0, 0x82cb1452, 0x09ccb2ec, 0x7e7aee9d, 0x193ce06a, 0x1bbac212,
+    0x74aeef4e, 0xdd614099, 0x470193a2, 0xbc334387, 0xa67da0f1, 0x7a427069, 0x17db1456, 0x36204890,
+    0xbaa7938c, 0x9569ee39, 0x113a6c9a, 0x0689b8f9, 0x3a7f7f63, 0x633999cf, 0xc095cf86, 0x1be6f6af,
+    0x7d3b3e21, 0x1a3bc6cf, 0xe6b311fd, 0x7f987c03, 0x1ff14bc3, 0xaaa0f439, 0x907c6da9, 0x24c31837,
+    0x987a506f, 0xfdcf4d71, 0x4fbf180c, 0x65ffc6ea, 0x1ce53b2f, 0xcb8f878b, 0x20e1e8fa, 0xd7dc1c6c,
+    0x185aa6fa, 0x0062ec2e, 0x8a608d8f, 0x103c3b49, 0x75ce7504, 0x8ef67e69, 0x1b134aed, 0xe970f1f6,
+    0xcaa5b4ca, 0xca5f16e6, 0x92f16fdd, 0x3346a20a, 0x48b9f5f9, 0x70b9d283, 0x3b9fd1ce, 0x6550bf4b,
+    0x7ca2f23d, 0x52128742, 0x5f2577d3, 0x9ca74663, 0xf254c5dd, 0xe569a330, 0x0b72a31f, 0x49826b47,
+    0x92ec9180, 0x7dbb1809, 0xbd627811, 0xcf05e5b9, 0xbd3708c0, 0xb2d1b9a9, 0x7a011091, 0x78af3d71,
+    0xd940d21d, 0x055c3b6d, 0x673ab845, 0x42666d12, 0xd0a18e20, 0xb74b30e9, 0x3d9c6d69, 0xb8dcbb37,
+    0x2f402b54, 0x01d2bf31, 0x97b9ab9a, 0xb691635c, 0x9caa40fc, 0xdd5096f1, 0x47b87899, 0x1baf82d2,
+    0xefc3cec9, 0xdbeb9f47, 0xa09cf1ed, 0x56bb1c5c, 0x44221f40, 0xb7d56c24, 0x03ff502e, 0xd9c5d0a3,
+    0x5bb091f1, 0x6440a05a, 0x27fbe062, 0x21b5822c, 0x185ce019, 0x93fcf92b, 0xbb98b17b, 0x0148fa99,
+    0x95d3de70, 0x4dff6a40, 0x7a6d6257, 0x894bcfe2, 0x9a1e6369, 0x502bdcaf, 0xcada28f4, 0x72b9d8a9,
+    0xabc9a841, 0xc9ce4fe7, 0x8955543d, 0xb829bb22, 0xbc6bb590, 0x83ef7be7, 0x74c81544, 0x342276cc,
+    0xd478a0d5, 0xa9435d08, 0xbc8738c1, 0x40bbfe74, 0x85223812, 0xbf0114ef, 0xb7e285c3, 0x49931ae4,
+    0x0feae5f8, 0xde53e35a, 0x3b4fdc27, 0x72cb6056, 0x13583898, 0x2b6380a2, 0xf9d58a7f, 0xce9c3706,
+    0xadca312c, 0xdf8099a5, 0x27299ffb, 0x4dee0e77, 0x93aa69f7, 0x027ef77a, 0x9503c07e, 0x766b95f9,
+    0xfc25e400, 0xd16df610, 0x0dbc2c10, 0x8cd961f3, 0xa267d222, 0xa20149b0, 0x18e37c8f, 0xc0799a4e,
+    0xb1b8bbb6, 0x961c8f06, 0xd9ed6dc4, 0x08024fa0, 0x5d811965, 0x90f04ae0, 0x54d48c2c, 0x93dbc0ea,
+    0x4ab5db50, 0xec923318, 0x4d9f2538, 0x5245611d, 0xf1833d97, 0xd46f983e, 0xe35cd8fb, 0x7e6c40a2,
+    0x061b4a59, 0xc58aecc2, 0xc16daee5, 0x663329b8, 0x36b1629f, 0xea0f824c, 0x0ad6418d, 0x4e53b0ca,
+    0x7c8f59b2, 0xb418e0e3, 0x3f3eba8d, 0x490c82fa, 0xf3a119f9, 0x0940ae0d, 0x3cac769e, 0x93bbcf8c,
+    0x76625244, 0xea5c56a8, 0x03a2e8ec, 0xdce5c144, 0x2965e09a, 0xcf775962, 0xc0a6c808, 0xdbae72dc,
+    0x6a11579e, 0xb191b39b, 0x3e085d9c, 0x04b8550e, 0x67416f30, 0x2c1b4763, 0x183924ca, 0xfec837e6,
+    0x24d28eee, 0x7b74030d, 0x0c13bdcd, 0xe0daa598, 0x9676d4ec, 0x390be50f, 0x9a3660af, 0xb4e4fdc7,
+    0xc88ee35b, 0xb1733995, 0xeec4887c, 0x1bc33c9e, 0x11727896, 0x394fa234, 0x3c64143d, 0xd81aaff5,
+    0x85431534, 0xb44c580a, 0x1f2c5591, 0x87084f2b, 0x092dc018, 0xecb1e668, 0x74f2f4c3, 0x7303fbdd,
+    0x86d5ad5e, 0x938eb2eb, 0x0e1537dc, 0x599856d1, 0x98476998, 0xcedf8d33, 0x1bf443de, 0xe0bef204,
+    0x3269d70e, 0x1c0a0986, 0x28e8df70, 0x3fd97cef, 0x3be0798b, 0xbbf83445, 0x33b065cc, 0x9292be01,
+    0x1bd715ec, 0x6ab0e74e, 0xf7ce6ff5, 0x7d321f11, 0x105c1d9d, 0xd9aab9b4, 0xce9d87a6, 0x0c2dbde1,
+    0xa32e46d3, 0x6b1e95b6, 0xf8e22ed3, 0x327b616a, 0x273e4586, 0x3cd9abee, 0xb6c8d9d1, 0x5ed8a1d1,
+    0xdd15f1b4, 0x9e0933dd, 0xe9f3ebba, 0x99022c99, 0xa426eded, 0x0821f7cc, 0xc3b18ea0, 0x6ee23959,
+    0x9ba5c846, 0x158dfe81, 0xa518475b, 0x28541dde, 0xd5a1246e, 0x9be5d9d5, 0xe6c4ae0a, 0x85ab0c28,
+    0x85f302d2, 0x71750f8b, 0xde35df9f, 0xbeec533a, 0x2392e4ec, 0xb3937638, 0x480164fd, 0x17edecc1,
+    0xd3fec4aa, 0x044ae1f5, 0xadf8efa6, 0x53d92a13, 0x824ec5c2, 0xc1ff2c17, 0x480266ae, 0xf1b8004a,
+    0xc4404555, 0xc4c564d5, 0x07d13854, 0xec486245, 0xa9db246c, 0xc25fbc21, 0xd13e134f, 0x7b42fde4,
+    0x4680bae4, 0xa7a84f3f, 0x120bd956, 0xf8d0120d, 0x20c8f6c7, 0x3fe4f4b3, 0xc53e5fa4, 0x8bab80bb,
+    0x18219a4b, 0x2a765005, 0xb8a700b2, 0xd7a42554, 0x600e619b, 0x5dc3309f, 0x169c7bb0, 0xc227cea6,
+    0x626c977c, 0xd20b31e9, 0x259a174c, 0x281864df, 0x3d3c7ba4, 0x069aed8a, 0x2142afa5, 0x4cfd7fec,
+    0xe3128e34, 0x92d42b2e, 0x75021a0b, 0x2e2634dd, 0xea00d812, 0xda4709eb, 0xfb700b57, 0x4d731907,
+    0x9e506c05, 0x0e3817fa, 0xa5003dae, 0xc39afe32, 0xa25431b4, 0x9fd23093, 0xd998fa66, 0xd6107e52,
+    0xd64b703a, 0xeec8e0b7, 0x07d96e6a, 0x9db9c73b, 0xa051cc65, 0xf7d706c6, 0xc53a46f3, 0x0750db8a,
+    0x62e82283, 0xaad97849, 0xb7e372a2, 0xdaac8f00, 0xb4e0aeb4, 0x2f198d2d, 0xd5340f0e, 0x65003893,
+    0xa8282a43, 0xdcde0fbb, 0x15b0b4d2, 0x9ab578e4, 0xf3c76b7e, 0xcee9f4cd, 0xe63a7dad, 0xf7a636ec,
+    0x076c7263, 0x2ca45b5c, 0x7a4e1871, 0xa5528ca9, 0x206ee5a1, 0xef8ce9a7, 0xf29035aa, 0x75a6f29d,
+    0xf50d036e, 0x3a843739, 0x9e4bc228, 0x5e3d0d6e, 0x2b2cf61e, 0x2a94154b, 0x4ddf56a5, 0xc378d954,
+    0xe37b246c, 0x71cf51e7, 0x62f7962e, 0x145a8b24, 0x98d39b5e, 0x801a10e9, 0x35298bee, 0xdec1461c,
+    0x4c6da21f, 0xdc971bf6, 0x6cf3a314, 0x16a73195, 0x72df32cd, 0x32a94078, 0xf98e5fcc, 0x3cca2508,
+    0xdf666fa8, 0xbe1b135b, 0xcd737bd5, 0xa8da3c34, 0xa6a476cb, 0x2610fd8a, 0xf1e2e0da, 0x022a1261,
+    0x33dde7f0, 0xba2f441e, 0x2ee08217, 0xb88d675d, 0xf9004586, 0xff4d9e10, 0xd5d50dda, 0xff87471c,
+    0xbc7fe4c2, 0xb1128214, 0x0d93fbb9, 0x23a3beea, 0x1c8cc365, 0x9ad452b3, 0x2b9c7ce9, 0x354f0308,
+    0x032f6930, 0x5b4ea981, 0x8d3a180a, 0x53e5eeb1, 0x02c20bf5, 0xabe2ecc6, 0x33bc50c7, 0x8710e3e0,
+    0x5d6c7d91, 0x368ef06c, 0x738a5e5f, 0x278126a6, 0x0f40d44e, 0x7e7351a0, 0x5dd629d9, 0xfbad5e02,
+    0x467bce41, 0xaa0f5345, 0xed64de96, 0x7608c235, 0xfa00564c, 0x0283bc3c, 0x6631391c, 0xe5f9cdb3,
+    0x62a980c5, 0x5c48a1f4, 0xbb35d955, 0xa95203f3, 0x8cb35e76, 0x5167ce7a, 0xb9806073, 0x23fa9b39,
+    0xfb6ab72a, 0x7f1f9502, 0xc2b99968, 0xe6668856, 0xe7e9bf4b, 0x8497388d, 0x13833b5c, 0xaa4ce1be,
+    0x5297c872, 0xd2fb985d, 0xd26c8a37, 0xe553ee20, 0x7ed6e3c6, 0x62bd7268, 0x58087c36, 0xee7f0825,
+    0x0c6bbc80, 0xe16f76d5, 0x97e44ca8, 0x889931c3, 0x0d554429, 0x4e54e9b6, 0x18457cde, 0x2e794c6a,
+    0xd83eafa7, 0x160ab434, 0x61c515d1, 0x8bd62ad4, 0xabec3efa, 0x10d4714f, 0x6e8b5f32, 0xcfce4b2f,
+    0xccdb11dc, 0xb16488f2, 0x4e8ded1e, 0xf80db379, 0x345a9c42, 0xc9c38f8c, 0x3eba6cb6, 0x0907455f,
+    0xdd1c51bc, 0x3f4f79a0, 0xaef75fa5, 0x3e2fa5c6, 0x0479aca8, 0x1686bf1e, 0x4917f754, 0x88530275,
+    0xd5144b06, 0x03a9c512, 0xa24e7cf6, 0xbfb36151, 0x065e2e93, 0x87d7d44d, 0x3426cc5f, 0x49858b8d,
+    0x906aa230, 0x8fb7fa6b, 0xc38e12a9, 0x3bb15eb4, 0x03815bc3, 0xf8fd8612, 0xb71eace0, 0x2267ecd9,
+    0xf3e1980a, 0x2a7b341d, 0xf51debb9, 0x3f6332b2, 0x4bfc1445, 0xea7936cc, 0x4101f08a, 0x9df4e08b,
+    0xd895616e, 0x9e023e68, 0x878ba24a, 0x8b873d57, 0xcf3679b9, 0x4cccb2b2, 0x571e2e6e, 0x257c735e,
+    0x893e388a, 0xf20ba16c, 0xf04d9f38, 0x781cc86d, 0x163706cb, 0xea26149e, 0x749128b8, 0xa4631fb3,
+    0xf86314eb, 0x1e30fad7, 0xe5ac2ec9, 0x9514aabb, 0x652ff6e9, 0xd1b33cd8, 0x28d6b679, 0x7982f065,
+    0x65f444b6, 0x31ea3cb9, 0xf7bd7f2a, 0x2b9692b9, 0xcc0b2e32, 0x7f19df7b, 0x03e119a4, 0x913ff74d,
+    0xed2fb542, 0xd7259111, 0x071b57b1, 0xb457aed1, 0x92ee4197, 0xaef5287a, 0xf752ac3f, 0xd223a764,
+    0x035998bf, 0x1f389494, 0x69f73afa, 0xf04e8846, 0xbbcda00d, 0x68c3da09, 0x94ad0894, 0x15f010a7,
+    0xcef5ce4d, 0x4c3966d1, 0x8b315003, 0x13c7fa67, 0xaf2f2bd3, 0x49fef44a, 0x4be60905, 0xef81a238,
+    0x5af47ce5, 0x61cd03d3, 0x30421610, 0xd2fbf5ae, 0x170e55b0, 0x7df8c05d, 0x6c395aec, 0xcd99ed6c,
+    0xde74c0dc, 0x1a3ac222, 0x41647633, 0xe6688b1d, 0x7b75d4d7, 0x903feb6c, 0x519709e8, 0x5c6c610f,
+    0xf3973abb, 0xa79a960a, 0x53d56ae7, 0xd79a67ea, 0x5c282e57, 0x2b5afaae, 0x8e0d7fb0, 0x04479107,
+    0xcb49997a, 0x83f320bf, 0x6c0f410d, 0xcca5084e, 0x7b91fe9a, 0x6e64396b, 0x72db872f, 0xd9861e33,
+    0xebe9387e, 0x68c64270, 0xacbf4f6a, 0xce6ef791, 0xe7342903, 0x31c467e3, 0xd1de9e2d, 0xd84fc795,
+    0x3bcb1772, 0x8a11d851, 0xcd9e978f, 0x97b73455, 0xfc5909f8, 0x89b5a448, 0xb124ad25, 0xbdf1bfe6,
+    0x2f13ea17, 0x165490db, 0x06bfe0ea, 0x0962e907, 0xcf988fe5, 0xbb7d9c33, 0xe33b4ff2, 0x98a8a19e,
+    0x0c428479, 0x9423a475, 0x8653c093, 0x51a144c3, 0x6a5583f7, 0x0ca9eeb6, 0x2d9f0958, 0xe308e329,
+    0x77bcffdc, 0x78d7774a, 0x35ada9ca, 0x595b2611, 0xef20cb89, 0xab46e924, 0x3e3d73d4, 0xa3002243,
+    0x53fa3de6, 0x7c46342c, 0x046c3703, 0x2463b964, 0xcbb84fe1, 0xb911367c, 0x9e7b0ca2, 0x07d77be8,
+    0x57b61856, 0x414c112f, 0xca2da4bf, 0xb37dd86a, 0x59e029cb, 0xb1e69534, 0x8c6653b8, 0xa5025ff4,
+    0x0b74c93f, 0x4bc87fe2, 0x258e5353, 0x4fed0bcb, 0x3ce3bfc4, 0x9b141303, 0x5cf35f8c, 0xaa7e71ee,
+    0x29967a77, 0xc41ef54b, 0xeac66487, 0x65f1cd29, 0x3465a274, 0x70d536a0, 0x363b51e5, 0x651488fe,
+    0x448b939d, 0xbeff3253, 0xe21bd75b, 0xcc856965, 0x59f06c1f, 0xd539e586, 0x91c82879, 0x1b39ece5,
+    0x59426618, 0xa6b4dd6d, 0x31ef0149, 0xd1410197, 0x8999c23f, 0x013a4494, 0xa1ccbfcc, 0x9ff7bc44,
+    0x7b34f1d8, 0x3debf829, 0xf48c8146, 0xb5166fea, 0xc1732e6a, 0xcf670833, 0x7bfe0a9e, 0x3736d46c,
+    0xf54374fa, 0x6b5d5c5a, 0xade5bd73, 0x681e36a7, 0x751d3c94, 0xecc8a8de, 0x860b71c3, 0x1e3b5236,
+    0x3485fb25, 0x86c27665, 0x169708c7, 0x3a29b273, 0x9cbdf0ee, 0xfe03a23e, 0x944896f6, 0x03653555,
+    0x687e0314, 0xf8295eb2, 0x744b3063, 0x754a5920, 0xf503d5a8, 0xfbe038b9, 0xb0fc211f, 0x7dcaf357,
+    0xd038196c, 0x37323483, 0x0b7fd359, 0x13eb6195, 0x50fd1b97, 0xb98fd4cf, 0x7e129399, 0xde57ad40,
+    0x1b027398, 0xf436f46a, 0xf42a6ea2, 0x29a027a5, 0xdd77eaa6, 0xaf1fe10c, 0x8286fc45, 0x60747220,
+    0xeb87b471, 0x2aaaea35, 0x27e34d7a, 0x2e2bf00a, 0x03d0a981, 0xb513f408, 0xd6a1abc1, 0x0ae67d35,
+    0x8a7913c9, 0xe42817b3, 0x0292f5a9, 0x50840b3e, 0x80092334, 0x27b401f8, 0x16a4f673, 0xe6f9f33b,
+    0x1614baf7, 0x05ddd5c2, 0x10d68741, 0x406b45d5, 0x296ab3a1, 0x191d0de0, 0x1fa9b853, 0x11a3fd87,
+    0x0062d3c9, 0x88849e6a, 0x2d6cd823, 0xf880eb74, 0x9c0b060c, 0xae2c9ea5, 0x1b1d8e45, 0x2e30e192,
+    0xb37418f0, 0x6aec215d, 0x4c99261b, 0x79de3584, 0x1db9dfe9, 0xd979c863, 0x6d208e84, 0x0e3e189b,
+    0x201b35a3, 0xdb467068, 0x2238cef6, 0x72f66bc4, 0x93582aff, 0xbda67344, 0xbdef060b, 0xb00bf822,
+    0x5a0eec26, 0xd0267325, 0x8f2a960d, 0x8644603c, 0x90a518a3, 0x99b67f0f, 0xbe36c7a1, 0x9c66484b,
+    0x5e10add3, 0x12d2193f, 0x896a467c, 0xfcf954af, 0xb072bdd3, 0x0299916d, 0x690887fc, 0x9b558138,
+    0x788c2493, 0x6bb0bbeb, 0x1e3285ff, 0x91055cfe, 0x3a26a4c2, 0x90b0be0a, 0xad7e7ade, 0xf2e479c0,
+    0x8af14e7b, 0x001aaba9, 0x798e3276, 0x2693342a, 0xa3c88d39, 0x0bebb3a0, 0xda9e10ff, 0xc416b2b0,
+    0x888f849e, 0x6c13ebbd, 0xab63fd6c, 0x618608c7, 0xcf3d37ef, 0xeabbd351, 0xfa70e324, 0x1d760e3e,
+    0x1d08f359, 0xb6e7f383, 0xa5e64b58, 0x2e842ebb, 0x13e7deda, 0x02a0368b, 0x957660c1, 0x342043cc,
+    0x4768cb2c, 0x9c3c87bb, 0xd7bb01dd, 0x76a6abf6, 0x2647b408, 0x1326ed77, 0xd5de8906, 0xe3fecb61,
+    0x892fa867, 0x07323a67, 0x48849026, 0x457257af, 0x08b00605, 0xae5491d9, 0x58d68cc3, 0x5209eaaf,
+    0x688fa6ac, 0x710e4298, 0xf8b4ad87, 0xb27d2e06, 0x9a20d195, 0xe7dcfe22, 0x3ece2696, 0x13297536,
+    0x9fc79616, 0xfa2b9a51, 0x4df3fb50, 0xad4324b6, 0x8611b262, 0x02a9f840, 0xa6b7e25a, 0xde1f9f70,
+    0xfd9f68b3, 0x0a5ed186, 0xa74d6df9, 0x464c48a5, 0x341bffe7, 0x691be8b0, 0x27f45a11, 0xc68c4d2f,
+    0xbcf9e8bf, 0xe3209297, 0x0b7371d0, 0x7f7dbea2, 0x9d8cec87, 0x1c3243fe, 0x88a55260, 0x6001837d,
+    0xadf7047f, 0x5e563607, 0xef76d408, 0xf9574aaf, 0x63aa8d64, 0x6e69aabd, 0xb69a402b, 0x07047160,
+    0x3475c698, 0x58d67ef2, 0x3527014e, 0x4abbe170, 0xb9b17b06, 0x069b6f0e, 0x810e7e91, 0x4a90b949,
+    0xb0d201d1, 0x61a1a4a7, 0x3f28385c, 0x901176da, 0x8462d296, 0x805ce0d2, 0x343bed12, 0xee4cea5f,
+    0x550ff05a, 0x98a73397, 0x752f1eb2, 0xd746e25f, 0xf6247d6c, 0x161fd58f, 0x2ed92314, 0x810d7b7a,
+    0x9623ab8f, 0x8ac64f7d, 0x5f072b85, 0x6dc31695, 0xf96e4cb1, 0x11dad505, 0x6aff425c, 0xf45d3a1c,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000002\
+                          31584178474632390847141970017375815706539969331281128078915168015826259279872 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc,
+    0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfd, 0xf461e98a,
+    0x00000000,
+    0xeedeb628, 0x27e72f91, 0xff0df3d5, 0xcb677460, 0x31c46319, 0x0eb6b77c, 0x075d6300, 0xa41561fe,
+    0x16d7b51c, 0xa1f38d19, 0x77321517, 0xceb4e8ca, 0xe0e8a9de, 0xe1504484, 0x6ba9e5b0, 0x2b37eb7d,
+    0x4f324c28, 0x71b106d8, 0x27705b79, 0x1ca8d6bb, 0x1f872eaf, 0x6188b003, 0x5d3e9348, 0x1ca3e29b,
+    0xeda8b814, 0xa818af20, 0xf8cf7209, 0x10fb2014, 0x4d6cc279, 0x377a8e1e, 0x876a0181, 0x6472d868,
+    0x549db096, 0x29736790, 0x504f3ee6, 0xdaf8ffc0, 0xfa5438ce, 0x7047f3b7, 0x6477c323, 0xeda10b52,
+    0x118e9d5e, 0x4f6220db, 0xd5dc6b90, 0x194c79fd, 0x4ed1aab6, 0x0aaba828, 0x6a9a6a60, 0x4d0ac98d,
+    0xb418e0b0, 0x4076b0c4, 0xe5d48924, 0x40d8f73b, 0x0791744f, 0x1108ec2e, 0x2d295b31, 0x70d9ad50,
+    0x78fc2cb8, 0x9ae0dd16, 0x2c96458f, 0x91d8f1fe, 0x782a5792, 0xb1cc6e90, 0x26ae2eb3, 0xe4178e8a,
+    0xa8599dd2, 0x8db0e702, 0xeebac57d, 0xc5b18643, 0x5b1a8b18, 0x77f6eea2, 0x5af47505, 0x2eb02126,
+    0x639fc740, 0x0296e427, 0x8b13e4df, 0x2492d376, 0x26f164a3, 0x6305588c, 0x15f338f0, 0x3f8ee367,
+    0x8a4122e0, 0x4455c542, 0x91dd03cb, 0xb40f4f6e, 0x65548bd8, 0x2ff76570, 0xa105620d, 0x0e30a19e,
+    0x17886e9d, 0xb1665cf6, 0x99784d43, 0x9ac4dc09, 0xa005eea0, 0x57f42c77, 0x7f54b3d5, 0x11ba203c,
+    0x60772ea0, 0x494761b0, 0xd041840f, 0xc4ad3e7f, 0xed72e79b, 0x404ad3a4, 0xf033d634, 0xc36f9853,
+    0x0728d891, 0xb3fe67ff, 0xd9777a2b, 0x0c411b6a, 0x21a8b824, 0x02942e74, 0x7b0f2530, 0xd5579c33,
+    0x15a26677, 0xddccd5e6, 0x9bdd2d12, 0xf2260e69, 0x98725ccf, 0xf938ac8b, 0x6dfdc7b9, 0xc50dfc2f,
+    0xbb333baf, 0xce6e7cc7, 0x9ed1d333, 0x7490ff59, 0x5c026dd7, 0x03c95adb, 0x95e0fb1f, 0x371a6424,
+    0xcc12d1c8, 0xd1be3a7f, 0xea546a27, 0xd525c8db, 0xec7377c4, 0x77cc43a9, 0x17907ba8, 0x8de23531,
+    0x4399269e, 0x177fbfd8, 0x4bfb984c, 0xb0694e38, 0x15aa60cb, 0x631d3a14, 0x08671431, 0x37b8a81c,
+    0xd2665909, 0x2be603aa, 0xdb2a0dc7, 0xc1ec1647, 0x477fd390, 0xa1a9ff04, 0xb5df5b47, 0x184cc2e0,
+    0x791bfb4a, 0xdba5bcb0, 0x27e6a405, 0xd4ce85e0, 0x316d7aba, 0x023d6bc4, 0xfc92e942, 0x20ad3fa3,
+    0x7fbc00d0, 0x591050d3, 0xa8fbe3d9, 0x353225b5, 0x3c59d0ff, 0xf26aad41, 0x80d9a1dc, 0xf3f6b3ac,
+    0x5064adfd, 0xc8aac113, 0x8a6c09f5, 0x4a55277c, 0x8d864d83, 0x01def1b2, 0x800b397a, 0x7ec47c3d,
+    0x1dd1accd, 0x61f530d8, 0xb57bc8df, 0xfd0822cd, 0x1de602ca, 0xd7a2e5b7, 0xba415b83, 0xea02ed59,
+    0x1ea7a5b9, 0xcde3674a, 0x58d27c3b, 0xb50885e7, 0x39df9168, 0x637ae471, 0x861c946f, 0xe8bf4677,
+    0x44ff483e, 0xa2f907c2, 0x78f13a71, 0xa974ad1b, 0xb032fc55, 0x0c34636c, 0x65399677, 0x18a3bea6,
+    0xd6c16f93, 0x4154e1cd, 0x4de9a397, 0x4da39240, 0x9be48feb, 0x1442cf19, 0x786d4ef5, 0x3e45b198,
+    0x9ccfe60c, 0xf1ff7059, 0x7f7a440b, 0x12a1b94a, 0x8f522c93, 0xd589c926, 0x00e6042b, 0x131be68c,
+    0xf54789b7, 0x13f76923, 0xf254cc57, 0x1443c372, 0x9184b61e, 0xd827bb36, 0x433635ba, 0x86793ee0,
+    0x1655c450, 0xb2fe6206, 0x637a8e78, 0x3ca4e7d3, 0x4a56abf4, 0xcb068f1d, 0x740c5822, 0xcd757d3c,
+    0x2cc6ee6a, 0x45acee74, 0x0559a1f5, 0x7867f295, 0x1b8a4785, 0xd7005d17, 0x17349572, 0x8c2cc7f9,
+    0xeaf9c862, 0x5e852522, 0x8f74b773, 0x40772320, 0x2c343a87, 0x90d505e5, 0xf878558b, 0x59e4fcd2,
+    0xa55254d4, 0x4ec4151c, 0x8cf0eba1, 0x37c6811a, 0x45dddfec, 0x0a302d7e, 0x1d09ed7f, 0x1e5aa08a,
+    0x15ee16bb, 0x66413b4d, 0x40846758, 0x939fd516, 0xb1f4ad00, 0x3e17196a, 0x2bd71956, 0x6b1c668c,
+    0xcdbf0f84, 0xf834cf0e, 0x5a0c2840, 0x4023e9e4, 0x26f74ae8, 0x01522893, 0x0dd731ea, 0x70ab8a7d,
+    0x38968f55, 0xdd39f539, 0xd036cf5f, 0x555853c1, 0x2ad37e20, 0x81bed70e, 0x3b075de9, 0x9ecfe4a4,
+    0xcb72595f, 0xe95fd738, 0x0f279540, 0x0fb549a3, 0xde6fb139, 0xb56d2818, 0xbc8c6249, 0xf871589e,
+    0xaed36a00, 0x6c7628c4, 0x09ea0508, 0x9c43f23c, 0xc035d055, 0x1399c329, 0x8abd6f0c, 0x609c9bcd,
+    0x20649a0d, 0x1644ecb9, 0x81c9f867, 0xac8b481d, 0x88d3fd23, 0x78be7ce8, 0x3850f2b8, 0xde0b61d2,
+    0x7c33d2dc, 0x2315a411, 0x21cecb74, 0x27ff84dd, 0xe2d8d1ae, 0x0f954fdb, 0xda868216, 0xaf8aea96,
+    0x9482e74d, 0x0ee52e71, 0x184a2d5b, 0x4238696f, 0x6587de1a, 0xf7a42adc, 0x0f535486, 0x5b6fe68a,
+    0xa28ba5b5, 0x5fc09c74, 0xc553c3c7, 0x8ded89ff, 0xecea3675, 0xb8e18c80, 0x11adcb36, 0x103b91c9,
+    0x54ab14df, 0x332e878a, 0x969df53f, 0x476ce31d, 0xa4bfe642, 0x25aa7cc8, 0x23624e3f, 0xccfa5a9d,
+    0xa90968a3, 0xe909be15, 0xd8d6a53f, 0xe4c7c286, 0x69e7cc2d, 0x81498ab3, 0xf8ceeaaa, 0x95da4682,
+    0xf095c7a0, 0x652e53c3, 0x96d6e742, 0x7df0cd95, 0x35385cd4, 0x3192c3a9, 0x6e239573, 0x1467fd3b,
+    0x0154c64f, 0x8a58cc26, 0xf92b9d46, 0xfdb5ffd9, 0x6c67a95b, 0xa5c3e288, 0x808069b8, 0x9e25c200,
+    0x10eca434, 0xcfd5582e, 0x39f4d9b4, 0x869e8ba3, 0x0da8f819, 0x69b8d9d6, 0xa4637a94, 0x2f432ab1,
+    0x07d63026, 0xfc5beccb, 0x3d85703e, 0x8be4ee0a, 0x2358447c, 0x33a2f4c3, 0x0db2c9dd, 0xdac7034c,
+    0x93f2902e, 0x7d682cf9, 0x4ce1ec59, 0x6c605eb7, 0x96803cd9, 0xffa00977, 0x681fa58a, 0xfd77c004,
+    0x9480d8d2, 0x53a3f714, 0x55d10cd0, 0xcaddb20f, 0xfe67810d, 0x057cdcb9, 0x07ded136, 0x45ff4c72,
+    0xfcb7bb42, 0xa03532f3, 0xde7f68d3, 0x4f154887, 0xc783e9b9, 0x3f21c141, 0xda096f17, 0x44387184,
+    0xa5959937, 0x7455e01e, 0x60e5b359, 0x45555ec3, 0xff4d7672, 0xbcf0ee5a, 0x2ebeb2d3, 0x9ee704fb,
+    0xa49ea101, 0x09bfc4f3, 0xf5c55598, 0x5254201e, 0x0137a87b, 0x549a8586, 0x66c37838, 0x918490c3,
+    0x1aba10fa, 0x19c2f8ed, 0x1374d421, 0x5757f0d1, 0x86a23744, 0x9c8fe4e2, 0x8f49f398, 0xb7303bd3,
+    0xf3c1b279, 0x4ab9544f, 0xfe903495, 0x2a43e634, 0xef4b102f, 0xbfe0cfbe, 0x1aac2479, 0x20681754,
+    0x8aef2d16, 0x25af2354, 0xe867623b, 0xa7e7c29a, 0x5dbcabf6, 0xb9ff47c9, 0xd790159b, 0x563c005b,
+    0xf631eea0, 0xc6448ae4, 0x20c3e463, 0xe2e785b5, 0xcbf6598f, 0xfc185d0c, 0x024fce11, 0xc86065f8,
+    0xa4f1b1b7, 0x7bd24679, 0x3be8182c, 0xcb6ea89a, 0xcb1a32e8, 0xa33bd96f, 0x5fc419f4, 0x811068b4,
+    0x3b7f67f5, 0x8a9f15cb, 0x17c416e8, 0xc39338d0, 0x67abd84f, 0x7943597c, 0xe12af9bb, 0x4b03db73,
+    0xbaac1d61, 0x8caa4bda, 0x62f178bb, 0x7680ff7b, 0x077c0ba8, 0x6d5e2044, 0xc49734d9, 0xe1875fbd,
+    0x431471f0, 0xdd61dfbe, 0x627ea53b, 0x13f26313, 0x1b5a3557, 0xba13baeb, 0x4a08759f, 0x68119baf,
+    0x22b80e76, 0x8ebcc700, 0x02f9be63, 0xd5c4e591, 0xad568abf, 0xc0a28a38, 0x871e4b12, 0xf888304f,
+    0xb12e1f36, 0xdc151a7e, 0x0e0ccadc, 0x4b8f5303, 0xe659847c, 0x93964300, 0x6a21a3e7, 0x3b5b9ca9,
+    0xd0ee8d6a, 0xa134acff, 0xf6390f73, 0x9808a736, 0x4dad5ed4, 0xd300fbc3, 0xf68e1a9a, 0x7a0e9d48,
+    0xb0e6e5bb, 0x8ade5a36, 0xda1e44bd, 0x7e65f749, 0xd2c5378a, 0x8f15360e, 0x18f80a90, 0x71b7c92f,
+    0x9d43c9d1, 0xffc23f55, 0xc969f7f5, 0x47632377, 0x6c6d9f44, 0x3ecf8404, 0x1410066f, 0xefae4404,
+    0x32ce588d, 0x25442d88, 0x01f984b2, 0x96270e19, 0x059e72bb, 0x49336f5e, 0x0d853a7f, 0xcd0db999,
+    0xa2bb1181, 0xdc9c2960, 0x3da77a55, 0x2591d221, 0x6ee4d667, 0xd3f2b830, 0xf033e3c2, 0xaacf1ada,
+    0x2abcfa65, 0x2cdcc391, 0x5bdccaf5, 0x3173be1a, 0xbf3bca23, 0x21fba8ac, 0x791ae264, 0x7f19054c,
+    0xb54fc416, 0xead65ec6, 0x966a7699, 0xca853b11, 0x2c404bdb, 0x301dcab5, 0x3000b8df, 0x1881d9cc,
+    0x54cac880, 0x15c4ff6e, 0x2f90eaa5, 0x2339a2d0, 0x291659f4, 0x4cd5e66d, 0x33e557da, 0x6e783b71,
+    0x483b0058, 0xdc26ad6a, 0xec0ecbab, 0xfb8d6072, 0x1439556f, 0xb37a633c, 0xc87255a8, 0xc45581eb,
+    0x8b05d253, 0xa1b9d208, 0x47efc704, 0xde42729d, 0xb6ae151a, 0xcd0b4743, 0x55d160e3, 0xcb4df98e,
+    0x2dcb56da, 0xf86f0d42, 0x0e60b563, 0x75284b6b, 0xe8a83944, 0x28cda120, 0x78f64f6b, 0x91d3317a,
+    0x6fe67ea2, 0xd3a1ed0b, 0xbf6cbde3, 0x6644e777, 0xf6f4c783, 0xce514b59, 0x0203d106, 0x89edc481,
+    0x2eb04403, 0xdd58ff43, 0xdf09b102, 0xcc2d44cb, 0x6f4d1cac, 0xa7987a03, 0x16ca49ad, 0x0754de04,
+    0x41d0dffe, 0x51d1fc0e, 0x277c283e, 0x89ee1598, 0x8bc1da76, 0x71e8a593, 0x960fbe47, 0x46dec26b,
+    0x5b8e4170, 0x25c97af9, 0x7450cb21, 0xcd6221fc, 0x1824b38d, 0xf23c3580, 0x37d64703, 0xa3aeb7aa,
+    0x8bb1ce60, 0x7a4d0e40, 0x9b1a86da, 0x6d34918d, 0x6f3a2683, 0xc596ce64, 0xbe841514, 0xa1d6bc03,
+    0xb674be9a, 0x3b2e8cdf, 0xcf352249, 0xb0ce4dad, 0x4ca940c1, 0x09e28288, 0x04867445, 0xca048da1,
+    0x84351df9, 0xcf0c3dbd, 0xac6b60fc, 0xa1885d20, 0x52b480b3, 0x988a7c5f, 0xad2ce7eb, 0x463e03af,
+    0x79e8a038, 0x7877f6cf, 0xe7805f12, 0xc37c8403, 0xb9656ee6, 0x7b08310a, 0xc577dbb8, 0xa96e7226,
+    0x1ddadc99, 0x8474268f, 0x553ef5ef, 0x1f67ac87, 0xb83ec6fb, 0x07e85e7f, 0xe836c822, 0x03dd7da1,
+    0x103f22da, 0xe664d396, 0xf79a1219, 0x9e3a4cc8, 0x182311ce, 0xf705af8c, 0xb53d8598, 0x28d8e7e8,
+    0xe9c4a8c9, 0xde40172b, 0x3379f6b5, 0xfd8b4efb, 0xa0226459, 0x2042e6fc, 0x3e325345, 0x0ce4194d,
+    0x51b79b2a, 0x52daf263, 0x58a73327, 0x011d5874, 0xb5bd0ff9, 0xdb93a5a7, 0xe3f72fdb, 0x29b5bb1f,
+    0x79018e8c, 0xe38b82f7, 0x42ffefa6, 0xfdba98b5, 0x379c8be8, 0xb7f948ab, 0xfb9f5540, 0x0879444d,
+    0x55078925, 0xede0c672, 0xa73f6e33, 0x9a096bc5, 0x67508e45, 0xb33d0b6d, 0x2b7afeb8, 0x3c22e567,
+    0x87578c9d, 0x0340542e, 0x2b5efd33, 0xc1c62661, 0x59892e97, 0x4da46f99, 0x869881a5, 0x81f1051c,
+    0xe7c31ec9, 0x58cdc3c5, 0x9ea83aa2, 0xbb7a054e, 0xfabb8749, 0x563a3ce7, 0xf8e86f8a, 0x691050a4,
+    0xdc321a3f, 0x3fea2a9b, 0x267f802f, 0xfd7335ea, 0xcf32ac62, 0x88f9d651, 0x6b0ca0ef, 0xa76736c4,
+    0x4f28449b, 0x3b716b33, 0x3732e826, 0xb85405e1, 0x118145db, 0x611f5060, 0xe36ee5bb, 0xd9d0d914,
+    0xe65bca44, 0x44b9d193, 0xbcb80f87, 0x428f4e82, 0x010db589, 0x0232aa2e, 0xd286fca2, 0xe3df98b8,
+    0x1fad49ee, 0x1b5f62e6, 0xa50709ca, 0xb70df079, 0xe9dfa281, 0xd604dbe7, 0x02e9e05e, 0xd7a8efff,
+    0x309725d5, 0x803a477e, 0x628b2505, 0xc10b8196, 0xc1d16701, 0x653d716d, 0xce1de054, 0x5d3b0414,
+    0x132683e9, 0xcd8a88ee, 0xe21335dd, 0x563076a8, 0x44258897, 0x8322ba4c, 0xf18cb137, 0xc737cc5c,
+    0x2360dbc8, 0x6ea81f3b, 0x75412ee8, 0x8bf893f9, 0x98fe6566, 0x7bdc8caa, 0xd4c607c8, 0x55f1033f,
+    0x53dc269e, 0x00a741bf, 0xc0c183d8, 0xd45a5f66, 0x539f0613, 0x2d0e40d6, 0x7b1de71b, 0x6809e3c3,
+    0xbafb31c0, 0x46c8fb2f, 0x812bec76, 0x331e3485, 0x872a165e, 0x855a3617, 0xc93c19fd, 0x9c26091d,
+    0xfb8398b8, 0x173aa6d0, 0x8875f6fa, 0x6b2f3a03, 0xf7e0c781, 0xe40a971b, 0xa412870f, 0x469b58f1,
+    0x40024cf4, 0x316a4ddd, 0x0f879b76, 0x2628e477, 0xdc88acde, 0x07ef293a, 0x2ab3de6a, 0xb0b3801f,
+    0x4969fc56, 0x4509a93f, 0xdb1e3581, 0x332839c2, 0x056ebd95, 0x189efa7c, 0x74586236, 0xaba9f065,
+    0xe48191aa, 0xb3731271, 0xbb8705e1, 0xed71e2d2, 0xd806b78e, 0xf309e246, 0x976c340a, 0xa050de25,
+    0x77aa53fb, 0x84661e73, 0x334c5b6c, 0x53694818, 0x440593e9, 0x12a9af8f, 0xe32351f2, 0x6fe5bb7f,
+    0x5727fa79, 0x7ebfa0f7, 0x8bb36875, 0xc6379352, 0xb936c2ca, 0x2990d1d7, 0xab9b9145, 0x73c6e570,
+    0x411610c1, 0x97a53af4, 0x4db78178, 0x4371d7d3, 0xe11bbd2e, 0xe5a4d4c5, 0xc76e37ec, 0x3efb62a9,
+    0xe529f8d2, 0x84b83eb5, 0x02d6dde6, 0x33229f4b, 0x2db7d0d9, 0xe74f976c, 0x560f8351, 0xf90db40f,
+    0xa315defe, 0xd805f6da, 0xbd78b111, 0x0be5f22a, 0x1e25b16b, 0xffc24af8, 0x72b5d48f, 0x27417b63,
+    0xf11162a5, 0xd6127b32, 0x8305b1c5, 0x62fa1e4f, 0x55592cf7, 0x8c49deab, 0xafe467a0, 0x6b3a00cc,
+    0xac89077c, 0x481f1905, 0xe3141db0, 0xb860e97a, 0x1372c8a0, 0xe7bf3593, 0x9e7556f2, 0xdc02306a,
+    0xb851b003, 0x6345ef31, 0x6f470aac, 0x2eba1425, 0x9d234d7c, 0x9fd37dbb, 0x71e2d788, 0x6d17e527,
+    0x90642091, 0x9c086175, 0xee5554b7, 0x95b97e60, 0x2b9fe554, 0xdc1525ba, 0x47ac123b, 0x6c36e528,
+    0xd0a6119a, 0x677015eb, 0x92bb3d85, 0xc00e3d05, 0xe5cfe96d, 0x88b852a0, 0xb27be111, 0xb3b38a17,
+    0xb585e060, 0xea1b3107, 0x2df232de, 0x017bc570, 0xef79d203, 0x1cf77b03, 0xda33c723, 0x40f1c13d,
+    0x2a23cce5, 0x6cd13bff, 0x869498e7, 0xe8bac8d0, 0x0d359c2d, 0x609919b9, 0x035c4423, 0x12ea69c4,
+    0xb718e0ab, 0x031e0f18, 0x6e730f59, 0x8ec12892, 0x8ffdff2b, 0x17f73ed2, 0xc5d0d2cd, 0x86920469,
+    0x34f860cb, 0x0526b5c0, 0x7bffd2ca, 0xaa1e28e7, 0xe30048c2, 0x09050610, 0xed518c0e, 0x07c79ad1,
+    0x9f851ea2, 0xc715ef96, 0x1fc32211, 0xb36a9e4b, 0xe97eda3e, 0x997fdd67, 0xe3350b87, 0xc18c1a04,
+    0x343628a9, 0x42d7b899, 0x977aadb3, 0xc405241b, 0xcf799b91, 0xa3ce8d65, 0xdcf2df66, 0x1e6b41da,
+    0x13bb8764, 0xee8f21a0, 0x65a20931, 0x1b057d88, 0x459e5f7a, 0x2ef00deb, 0xae59e81e, 0x0a7de479,
+    0x27736ddc, 0xa26e676b, 0xadce992e, 0xcfac23fb, 0x4ea1969d, 0xd3332259, 0xba3ecf8b, 0xb5d849f8,
+    0xf82fd6c1, 0xcad20dbd, 0x8ef58f3d, 0xebfc1c2a, 0x0f0d3a7c, 0x08434621, 0xb04128f9, 0xb3d50269,
+    0xa4de248a, 0xc2d8a86b, 0x392e0a11, 0x978f7fb1, 0xfdc642ef, 0xdc97556d, 0x09057182, 0xeb971af0,
+    0x4a436dcf, 0xeec36f87, 0x4d6709b6, 0xee554632, 0x690475a1, 0x2415119f, 0x39d876c8, 0x677cc06b,
+    0xf368e412, 0xfdc5d5da, 0x935ce96b, 0xbfcc3b4f, 0x15473073, 0x7ee6de7e, 0x2d3dcda3, 0x55a06ca8,
+    0xaceeed24, 0x3fcfdb00, 0x09e44ccb, 0xa4efc0a6, 0xab099a4c, 0x506b6340, 0x41582730, 0xb1334e1a,
+    0x5e87d675, 0x1c3855e5, 0xf710b4f2, 0xa22b2048, 0xfe0cf572, 0x2d507124, 0xa4a999c8, 0x55a136b0,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000001\
+                          15792089237316195423570985008687907853269984665640564039457584007913129639936 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe,
+    0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fe, 0xfa30f4c4,
+    0x00000000,
+    0xf749651c, 0xace26f50, 0x9e08b5b9, 0x57bc76bb, 0x933fd9f9, 0x8bc91415, 0xf375773a, 0xa0f070da,
+    0x84fb54b7, 0x337aae19, 0xc8aafde5, 0x3c1911c8, 0x06bf8c3b, 0xfc9a931b, 0xc392db72, 0xbcbfca7f,
+    0xc099a99a, 0xf2769c5a, 0xf53e2e2c, 0xa966fb42, 0x2e902a38, 0xa97963f4, 0x599b5a43, 0xd4c63dc5,
+    0x69c8051b, 0x46280361, 0xed2fa0c5, 0xd7aca7bd, 0x82c0f3c2, 0x1afb453b, 0xd54a879f, 0x4760eb2e,
+    0xc62d5953, 0xff93e357, 0x097453d3, 0x72aa24e6, 0xff8bac72, 0x24aa58e8, 0x9c3a8692, 0xfd9e827b,
+    0x8934a943, 0x5d934944, 0x60c6a12f, 0xe44b0a38, 0x3bd5a56d, 0xbe10838d, 0x59ef071b, 0xfc134e49,
+    0x841ee4c1, 0x6e86a65a, 0xa30baf1c, 0x0fa3993e, 0x3fdf6abe, 0xf243c6ff, 0xf44a3359, 0x79e59a2f,
+    0x31148a49, 0xe54dd605, 0xfb9199e9, 0x6a9120dd, 0x0f0489dc, 0xfbc7537e, 0x10baff3b, 0x06f99f93,
+    0x88d14243, 0x5828344f, 0x636e49ce, 0x647b2dfe, 0x96c8f48e, 0x75cc825a, 0x83b0f6cb, 0xecc02a5b,
+    0xe88026c1, 0x5a9439e2, 0x05bf9d7c, 0x99fee278, 0xc4520c81, 0x19dc76fd, 0x5c2b56d0, 0xfe6806a2,
+    0x66ed984f, 0x0b44b535, 0x060f67a1, 0xad62785e, 0x2ab07834, 0x9956c5e2, 0xf8b18341, 0xc34a6a2b,
+    0xff511ce8, 0x280c6feb, 0x42f3ad34, 0x25972f0e, 0xbefa47b4, 0x3a2e629d, 0xe00e9a25, 0x30aefeda,
+    0x0fa8c34f, 0x557f1746, 0x3afe8275, 0xa47d278a, 0x3661d107, 0x46b0168c, 0xe81f6cb4, 0xcaf69ae1,
+    0x5d128833, 0xfae87024, 0x25c0197b, 0x1daccd80, 0xb6db1af9, 0x59ff967f, 0x286f5cef, 0x4d486107,
+    0xff287159, 0xf9aebfee, 0x48ca137d, 0x76e7b232, 0xc39c862e, 0x7da75c9b, 0x5381b496, 0x3fa38a6f,
+    0x76a9f7cc, 0xb7c0414b, 0x38b3823a, 0x31d999a7, 0x512c4104, 0x34840399, 0xac06fb7f, 0x6e824720,
+    0xcf2e4688, 0xb7feb655, 0x383b5f47, 0xd476a831, 0x51ac1bfd, 0xbe8a7053, 0xa374ef20, 0xc3039052,
+    0x314230cc, 0x3d2bc142, 0xeba8e559, 0xb53aa2d7, 0x7e30bce1, 0xdec5824a, 0x84379ab6, 0xbe719e4d,
+    0x835a922c, 0xf8da3239, 0x591d596f, 0x94cc8967, 0x8c3294a2, 0x790e897e, 0xa268c9a2, 0x06589f08,
+    0x288b5c79, 0xa6d76fb5, 0x610c935c, 0x4a82d7c3, 0x92e10848, 0x2de92499, 0x8eea18e3, 0xe5e8b2c5,
+    0x33a2202f, 0x83924f6f, 0xe9ae9fd6, 0x1f101f65, 0xc71489d4, 0x07ae62b8, 0x8971786f, 0x171c1b13,
+    0x8851e629, 0xfb23802d, 0xc6abdc1e, 0x0d45fa3c, 0x27f448a9, 0xe5484667, 0x37f2bd17, 0x929fc520,
+    0x7b616f1a, 0x11df8714, 0x990ab0f2, 0x99c63f2a, 0x5c4a1c43, 0x0f36c739, 0x1ab74c14, 0xe8bf3915,
+    0xbe4b4192, 0x82e149a9, 0x941a87cf, 0xed782c59, 0x2a6218ed, 0xbb96b6a2, 0xbc72db5e, 0x0c3a39d6,
+    0x4f4d366a, 0x354e0303, 0xff987711, 0x853f0fe7, 0x69d65950, 0xa8f86ce0, 0xc3671f1d, 0x3c0375b9,
+    0x91b61521, 0x97fe0d49, 0xbf3ce572, 0x935b262f, 0xc81f9351, 0x51fcfcab, 0xfdd3dd2c, 0x2f1df2d0,
+    0xb18e092f, 0x2f9fa419, 0xa39d86ae, 0x596c1f5a, 0xbeffc86d, 0x8894e338, 0xa28bdc77, 0x57739e5d,
+    0x2e1c311f, 0xdbe0fb1d, 0x305f297d, 0xd67cb616, 0x24febea8, 0xcf166b45, 0xbba26ce5, 0x008701f1,
+    0x566befc2, 0xe3113018, 0x82c49866, 0xd2aa9250, 0x51f060f7, 0x389fbdac, 0x6c6e7501, 0x88dd8656,
+    0x058338a6, 0x28d8f45e, 0x9a568c68, 0x607f1fc3, 0xa1b05777, 0xee22d957, 0xf5b1e459, 0x2a6346f9,
+    0xddb6cf00, 0xfb966aa1, 0x21e62fcc, 0x8f30e492, 0x4e16919e, 0x4c6ab706, 0x8c1f3bf5, 0x1b6bc2b9,
+    0xc1665034, 0xf36cd082, 0x2d1060cb, 0x9b39d4cb, 0xe3f5301b, 0x76f6863f, 0x565f346a, 0x4e0bf7a1,
+    0x055a7332, 0xa1484b10, 0x850792f0, 0x7a64b6ce, 0x6cc2935f, 0x6e9cae2e, 0x873b8e31, 0x80c4895d,
+    0x68b94f37, 0x19fe9082, 0x0915b66b, 0x00a0067a, 0x126989cd, 0x355bfb7e, 0x3894a5e6, 0xd0e85320,
+    0xb8c0ca34, 0xbb9b976f, 0x40378d67, 0x9179982d, 0xd670d444, 0x7d63558f, 0xca115024, 0x98a198aa,
+    0xf9bd6fcd, 0x1a7bc1cd, 0xc6c7e8a2, 0xe1d7658d, 0x56b5e6d2, 0xf30e005a, 0xf1469862, 0x53dba8d9,
+    0x33cca994, 0x40ce5241, 0x2a1c4d2b, 0xb690b8e8, 0xd57dba2d, 0x9752ca9b, 0x1fbd56b7, 0x1371ef21,
+    0x98a66aa2, 0x5bb02019, 0xf4f04d3d, 0xfc107519, 0xaa873b69, 0x6dc6b5e9, 0x09164207, 0x88db6eb5,
+    0x88234795, 0x23b2cb9b, 0x5f547388, 0x24686a4c, 0xc5e44b77, 0x2484008a, 0x3babab46, 0xfeef05f9,
+    0x07cc95cc, 0x48d0c0f8, 0xfcdd201a, 0xc9cd0e7d, 0xa1ab7ef7, 0xedbdff37, 0x5c9bd3ce, 0x04eef6b5,
+    0x854b9ba1, 0xe765c512, 0x71fe9296, 0xeb10f557, 0x1b126824, 0x54e3bb17, 0x58aeb233, 0x4e631ce7,
+    0x396420bd, 0x76b16564, 0x9c583323, 0x5bf332ec, 0x39504247, 0xc9189141, 0xc8cf8809, 0x4dcbfafc,
+    0x277d2af0, 0x91551963, 0x14e1de29, 0xcc8eedd0, 0xda86fbf0, 0x08b0829f, 0x22eb470b, 0x7d9d9351,
+    0x5ff377e7, 0xb1715bc7, 0x91d43d08, 0x51e806e2, 0xeccc5c3d, 0x057f2355, 0x9eb49527, 0x6b6f157f,
+    0x48ed376b, 0xffdf7c15, 0x3b060dcd, 0xaccd10ae, 0xe308d8e2, 0xb8e7fe8b, 0xc415fb3e, 0x6db6605f,
+    0x8f4d8aa3, 0x3377c6bc, 0xdf18c88e, 0x68f9380f, 0x49d74100, 0x124152e0, 0x67e05c27, 0x0a912d5d,
+    0x68f71916, 0x54c38562, 0xdcb09c0e, 0x0167b9f6, 0x086672d6, 0xe85d0801, 0x3e27ddb6, 0x8b67fc66,
+    0x10f98cff, 0xe950af59, 0xcb254ac0, 0x4dc891e1, 0x04bacfdd, 0x430ce6d6, 0x65390282, 0x5f0129d2,
+    0xbe3e9689, 0x7b133ddf, 0x246006d0, 0x66a17ac5, 0xf70758c7, 0x7635e372, 0xf548e5c4, 0x54e5f6fd,
+    0xc324e1bf, 0x86eb3039, 0x45a277a4, 0xfffea168, 0x9235b01a, 0x7ba1187b, 0x0b18cf27, 0x7c39fe6b,
+    0xaf898ffd, 0x08557a00, 0x8182f203, 0x410edf8f, 0xa9695f78, 0x092140dd, 0x876ddc74, 0x4823c1f4,
+    0xa3456f0f, 0x999087b3, 0x45f9c319, 0x1c1581fb, 0xfa760866, 0xca71bb50, 0x7e8ac6bf, 0xf9502037,
+    0xdb550b28, 0xc9c23f2e, 0x25b07088, 0xbf688321, 0xfe345e1f, 0xbedf9b72, 0x19651b08, 0xe8c8b143,
+    0x0f3a1f72, 0x379352bc, 0xf9775101, 0x2123b90b, 0x8f8353b1, 0x5401018a, 0x72f98d95, 0x06d45b83,
+    0xa436b016, 0x710f22b1, 0xe498026c, 0x7605ca58, 0xad9964f2, 0xf251beb7, 0x0ffcd75a, 0xe4fd08c8,
+    0x2dee132e, 0x6e7e9575, 0x63b4b280, 0x9ad1a6c7, 0xbd5ce292, 0xbe85da77, 0xb07e6f07, 0x4762c598,
+    0xe8b538c3, 0xc46036d2, 0xf163acff, 0xc685211e, 0xd410eae7, 0xf5527ac8, 0x59bf5fe9, 0x057116b4,
+    0x52f005ec, 0x3d84147b, 0x646321a9, 0x6b2b1fd3, 0xd47144f6, 0x3a3d6e11, 0xe97dbd29, 0x2abb9290,
+    0xa7002d41, 0x95e6b64b, 0xa626d6a2, 0x0a1768a5, 0x81679b1a, 0xa0081924, 0x661b4f54, 0x116e1a32,
+    0x83b0753a, 0x8853893b, 0xa293584e, 0xbe6153d3, 0xbe188a41, 0xf1ef4b1a, 0xfc11336c, 0xaa7085e0,
+    0xdd6c1145, 0x68bf6c43, 0x0e750fdd, 0xde6d4c9d, 0x9374d9ed, 0x7e1d4cc4, 0x862d885c, 0xe316a464,
+    0x0107f177, 0xc1194f41, 0x6729b2d4, 0xd2a4c9ba, 0x8e7136c8, 0xca8eba11, 0x089286f4, 0x2bc33822,
+    0x451d7a33, 0x78199c0b, 0x689afe72, 0x3cf8dad8, 0xf92d9f2b, 0xaaf04535, 0x4a714e01, 0xe5a9f504,
+    0x3e9b2824, 0x7d7b646c, 0xc8d1884b, 0x0a1ef32d, 0x6a9e8adb, 0xbf49ab6b, 0x5f186fac, 0x105285b0,
+    0xe184a372, 0x585594e6, 0x7fec6406, 0xc9fae034, 0xcbcc4e7b, 0x8f1824ed, 0xe3fe97ba, 0x86d71a33,
+    0x0278ab5e, 0x28df2db9, 0x7c32706a, 0x57da83a4, 0xd6d43df4, 0x6d21b0d6, 0xd66e602f, 0x53c79c01,
+    0x6035a147, 0x4f455a1e, 0xffa05ad4, 0x9e725440, 0xb5602062, 0x68609536, 0x59ac940d, 0xc180ad02,
+    0xe520af4a, 0x1da52036, 0xa6f9454a, 0xfc7434e2, 0xcd9f5c81, 0x0eb5328e, 0x48f0fd22, 0x04aaad5d,
+    0x7f764e8b, 0xc46ecf6d, 0xef11d269, 0x83b1ae54, 0xc53200d3, 0x8a96826b, 0xf0e8c046, 0x0ffa0c34,
+    0x8c6ea4f0, 0xb716e0a7, 0x22998ef1, 0x36eeebe7, 0x980cd46d, 0xc07f211a, 0x3c776b8c, 0x7db61839,
+    0x80928a9f, 0x37761341, 0x0796f2b7, 0x04e7bc03, 0xa1e41003, 0xf46dd222, 0xf22183f0, 0x3f336f7b,
+    0x2e2b8511, 0x64ea1f9f, 0xb7cc0093, 0xec994f18, 0x48469993, 0xd966b542, 0xedbff222, 0xcb81c1cb,
+    0xb2c2b7c7, 0xa779eadf, 0x478d707c, 0x8e1ea158, 0xf3529a3f, 0x9ad0080c, 0xb9825bec, 0x1a4a92d9,
+    0xb8a58555, 0x4a5eda03, 0x40bcbdb7, 0xa553d99a, 0xc32e4ffa, 0xd2811f9a, 0x9c18a2fa, 0xda66322d,
+    0x2dab3c18, 0x90f6154c, 0x2beaf8bc, 0x6b19b062, 0x7027130d, 0x45e66b27, 0x491e4707, 0xf466a131,
+    0x15e7dc6d, 0xd4f20660, 0xbdc77066, 0xf0120cd9, 0xa68c82e8, 0x98b5f95d, 0x571e60fb, 0x850961d3,
+    0x0e011d12, 0xa222b70e, 0xc2f2b080, 0xefa9bc97, 0x52133c1f, 0x174e459d, 0x1fe78d4a, 0xd4fc9867,
+    0xf6f86ff7, 0x765be1ef, 0xd9ac078b, 0x7aa85d54, 0x7d27dfc6, 0xf573f76d, 0x5e8905cc, 0x33ce3ee8,
+    0x621cb31e, 0x29a5f938, 0x2b443c69, 0x893fabe8, 0xbb962279, 0x22f3960c, 0x8a4204b5, 0xda560530,
+    0xdfaa6ae2, 0xd211bbb5, 0x8f88881a, 0x77a6d8a4, 0xae230ad5, 0x72f37987, 0x6d1c0c8d, 0xb7371c7f,
+    0x2d0e098b, 0xc8ed6c80, 0x220b99e5, 0x8c1452e8, 0xafd22ccf, 0x3f2cc34c, 0x4649de4b, 0x4402d16f,
+    0xdf5ba452, 0xdc56fb3a, 0x1eb84b79, 0xdd12515b, 0xc6a31735, 0xafe6c1cc, 0x746ce489, 0x26035808,
+    0x2bef3f86, 0x51161694, 0xd2c5d857, 0xaf4b913c, 0x392fa465, 0x14ec8542, 0x6bae5f8f, 0xa2d38ccb,
+    0xeade5a8a, 0x312c77b3, 0xb204dae3, 0x76f26e63, 0x333aa4f6, 0xf74e9c47, 0x3f4805d8, 0x8e286db8,
+    0x8d59fe78, 0xbd9f2d5e, 0xa0436d5a, 0xdef4d3f3, 0x50271ae7, 0x2e3471d2, 0x85821f39, 0x9a73ee10,
+    0x50dbb853, 0xca4c669d, 0x1dd5a4e1, 0xceb431b2, 0x0d2fce6e, 0x8d6296d3, 0x1721b7b3, 0xb1dd6581,
+    0x210ff1d9, 0x38d3c143, 0x3de50b4a, 0xbdbf6546, 0xa0aca0a1, 0xaddbdf75, 0xc9ab3976, 0xde98b9fa,
+    0x6b5e34b9, 0xb851116b, 0x1d7e0be7, 0x861ad407, 0xbeaa27ef, 0x477ed7b7, 0x41f9b32e, 0x4234e703,
+    0x20a5f811, 0x4dc459f1, 0x8fbefbec, 0xb7ed77c5, 0x09a5b76a, 0x09126dd1, 0x2911d431, 0x9c7b1938,
+    0x2afea524, 0xc66e0ee8, 0xac619aae, 0x8b326208, 0x9f1fe88e, 0x318ed2ef, 0xcc1aaed1, 0xa19f0061,
+    0xd3918ccc, 0x758c971b, 0xb40a27b8, 0x80406cf8, 0x5ef6b874, 0xff508be8, 0x9f00fed6, 0x022ea9da,
+    0xfe40a77c, 0x504a10e5, 0x01b47184, 0xc4c110bc, 0x53474085, 0x3b228fbb, 0x2bdd27e7, 0xacb757c4,
+    0x4c505a1f, 0x0eeaf2dd, 0x1a1fcaf4, 0x446b08a2, 0x4ec74061, 0xb88dd69b, 0x6117ff29, 0xf9c08f3b,
+    0xbf8277af, 0xb47e820a, 0xc46508d6, 0xdfd7a75e, 0x56a28280, 0x23b32bba, 0xfcf2378b, 0x24faa9b5,
+    0x7da56d75, 0xf139a431, 0x1084b6ae, 0xf3ca21a5, 0xfbb8efaf, 0xae28495a, 0x2b211f78, 0x3301c6e3,
+    0x70a205b0, 0x8f1fa86c, 0xd3f2e524, 0xd7673a2c, 0xc17a40d1, 0x06e67a38, 0xa531448c, 0x4610df2e,
+    0x3482e6d4, 0xc5537810, 0x0a0915e0, 0x927bc872, 0xd4282928, 0x5103ed3a, 0xe7cefaf0, 0x6b827660,
+    0xf3a35018, 0x5cb80265, 0xa08405eb, 0x28b94061, 0xa954d843, 0x28dee77b, 0x65a84ed7, 0x919829ad,
+    0x4f2e10dc, 0x54c454f4, 0xdc040456, 0xf0937792, 0x4c139f75, 0xf716a73e, 0xf1a929c0, 0x69ac712b,
+    0xf3e12060, 0x98e4b1ad, 0x80ffd67a, 0x16ea0815, 0x6da478a8, 0x36ae933e, 0x2106d8d1, 0x2d1e9892,
+    0xc1b28acf, 0x2bcf04bf, 0x892d51d1, 0xe7f0a49d, 0x22eb6e31, 0x47a17012, 0x9c675841, 0x3a6b8ed6,
+    0x26f35f9e, 0x4755788c, 0x5947d70f, 0x92bfd864, 0xe8471977, 0xfdb52e6f, 0xdb6aa5f5, 0x2aef6a4a,
+    0xa58ac15e, 0xa873d752, 0x0195ea3b, 0x09f12f58, 0x29e84565, 0xa3bf57a3, 0xa4fc605c, 0xc02df44d,
+    0x91f7a8df, 0xe4ffe118, 0xf0cb4cbd, 0x96653307, 0xb1c1db9c, 0xa7be9238, 0x0c31fdc9, 0x2ebf800e,
+    0x191db4d9, 0xcd2b7d06, 0xc67c999e, 0x75f97a36, 0xa6e5c1c9, 0xfada8c65, 0xbe4af655, 0x1c9840e3,
+    0xcd6a6306, 0xa9bd5607, 0x2dedb24d, 0x551ef4b7, 0x33ac0104, 0x9951f335, 0x285a8ba9, 0x974fa7be,
+    0x77fa4dd3, 0x683fc73f, 0x779029ca, 0x36041140, 0xbed79c7b, 0x36300c77, 0x1afd95df, 0x60f08f02,
+    0xdf7874cb, 0x45703aa7, 0x44173bc4, 0xba7cdc99, 0x02cae8d5, 0x89cbc866, 0x6952fee5, 0xc95ed2a4,
+    0x41488c47, 0xfd075987, 0x1e1d4e80, 0xb6be482a, 0xcbbad730, 0x291b9c31, 0x79d3a283, 0x1411992f,
+    0x63da4df0, 0x43ddccf0, 0xb53b7382, 0x25cedb24, 0x04366317, 0xe94cefee, 0x1ccffbb7, 0xd6253d87,
+    0xe59a186c, 0x895fd8af, 0xbee50e84, 0x7dfb0b3a, 0x7655033e, 0x870b0db1, 0x6c18acae, 0x4334b5c3,
+    0xb87b32d1, 0x5114f166, 0x6315ac32, 0xb4cded87, 0x3e48954c, 0xdb2548a8, 0x5b60225f, 0x9a81329e,
+    0x288e4ddc, 0x5c234939, 0x445c048d, 0xba68befe, 0xfe62f782, 0xd78b922b, 0xa51fee5a, 0xd46e5cf9,
+    0xf7c36cf9, 0x6c54511b, 0x6b32ed7b, 0x7ed620b0, 0x9f5e8514, 0xa852a9ed, 0x36c1a931, 0xfb25540f,
+    0x07e15edc, 0xc61ad75b, 0xfdc103cc, 0xd1ce9336, 0xa41e7c99, 0x74064d08, 0xe1d886b7, 0x089c44a9,
+    0xf7c7258b, 0x358f1e80, 0x64484fae, 0x9c0da7af, 0xa70f74ec, 0xa68255c7, 0x4dc85dbe, 0xb64bfe26,
+    0xf05bd32c, 0xc50167e7, 0xbde38161, 0xa95797a0, 0x1ead6c29, 0x448414ca, 0xf7336bfa, 0xdaa3a470,
+    0x4549ce1a, 0x44801b22, 0x1d27f7ed, 0xa67eea8e, 0x53d973cf, 0xffe70217, 0x6131cd87, 0x8fecf978,
+    0xe0bfa9c6, 0x1e9d74ca, 0xc01f8205, 0x9971e41d, 0x142f3be7, 0xb573da89, 0x922c8113, 0x28c65b74,
+    0x84f2c033, 0x40e77670, 0x3f6c65e8, 0xa2270827, 0xfa1e9bfb, 0x52bc73f5, 0x4b6b3aea, 0xdf67924e,
+    0xa15986a4, 0x8939634e, 0x3403168b, 0x9f2adde5, 0x115b5aac, 0xc5ba0c93, 0xb2f59efd, 0xbba17317,
+    0x527b0719, 0xdd3384c5, 0x3ada0cce, 0xcbbfdff1, 0x315fdd95, 0xa62b0cde, 0xbfe0dcd5, 0x77586b30,
+    0x3c3e98a5, 0xcf535909, 0xe87f21d4, 0x5bfd9880, 0x6bcb6f90, 0x3149b669, 0x6a118141, 0x639fea4d,
+    0x10f5bafd, 0x8c578873, 0x9e474731, 0xc897c0e4, 0x7dd14814, 0x6d337f48, 0xe9f03fd4, 0xe972f311,
+    0x1ba6381d, 0x4011cf53, 0x056b7443, 0x78493182, 0xe4f32119, 0xc4f99f5f, 0x765811d5, 0x131df684,
+    0x7beaabd3, 0x5afc10b8, 0x19f43a6a, 0x27450fa1, 0x7697b027, 0xe671ab13, 0xbaaa62ec, 0x03e5d8ed,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          57896044618658097711785492504343953926634992332820282019728792003956564819968 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537f, 0x7d187a61,
+    0x00000000,
+    0xfb9b0ad1, 0x60530109, 0x69735e33, 0xae85409f, 0x6c9008fd, 0x8cb78649, 0xd626979f, 0x60d4154d,
+    0xe0d8d09a, 0x5c87d178, 0xbabde8d2, 0xf342983b, 0x00b16f3f, 0xef139a5c, 0x8dd5ae4a, 0x6c73d6ce,
+    0x5fc201ab, 0x9c64863a, 0x0dd446b9, 0xd5e2783c, 0xfe1c8d3b, 0x5e887e9c, 0xef978361, 0x0df997dc,
+    0x5d6fbf52, 0x6e1efddb, 0x8a108877, 0xbae27647, 0x4cbbfdfc, 0x775428d0, 0xf841aa08, 0xdde083ff,
+    0xe27373c8, 0xea9d5ee7, 0xe2ed8e97, 0x94872ae0, 0x9f660e5d, 0x2f8ec4af, 0xbe529dab, 0x00097706,
+    0xf1b381b7, 0xd5c6420f, 0x0a129ecc, 0x0e8e5103, 0x3b59e70a, 0xabc9811f, 0x6e890b68, 0xb6d9790a,
+    0x33c8e5c1, 0x2e4ddbe9, 0xe69695b5, 0xc8f59106, 0xca948081, 0x86356d95, 0x16022285, 0xdd6e437c,
+    0xc6cda163, 0xad2764d1, 0x98e0c57d, 0x86374de4, 0xb99425bf, 0x0e8cd0c4, 0x1dff5372, 0x49357e92,
+    0x7f407515, 0x90cde405, 0x3c842b9c, 0x3493e398, 0x02ead350, 0xdc9adbbf, 0x22a09df5, 0x1e72d470,
+    0xb2de96df, 0xf54b0e6b, 0x34237744, 0xf1e0e215, 0x33b45094, 0xb327b2f7, 0xc62697d0, 0x81d2842a,
+    0x10c426e1, 0x3db035a7, 0x4f95b47c, 0xa0b8ecd6, 0x6930dbb0, 0xb6ec5966, 0x38a52d40, 0x93148de4,
+    0x7f65844d, 0x4455eac6, 0xba3af9d2, 0x8f3f229e, 0xbe0aaaac, 0x5737b340, 0x35031256, 0xf3cc57d1,
+    0x55eab0ff, 0xfa5d1df4, 0xd1395d8d, 0x5a578d31, 0x39d0ad73, 0xfde66ef6, 0x01ed39cf, 0x9276c72d,
+    0x83513bed, 0x20f167a4, 0x9fa8c3c0, 0x2beff017, 0xc6a732f9, 0x2b0f6a03, 0x768c8504, 0xeec3c591,
+    0x3278d5a3, 0xa93b3b2c, 0x6e52f060, 0x5af38584, 0xd2fd3ccd, 0x88ae71a3, 0x5658d7c4, 0x11497b17,
+    0x42ba5f91, 0xf9bdf686, 0x6e913948, 0x9d21c71e, 0x627202c4, 0x39899107, 0x167ca390, 0xd2f225c7,
+    0x42fa41b0, 0x6da73fd4, 0x01a45933, 0x364ec0b0, 0x0e5438a5, 0xed5ab33b, 0x83af76ef, 0x05c7fa4b,
+    0x46c376d2, 0x936b4ab2, 0x3b872f9f, 0xd88625e0, 0xa61f3d9d, 0x1b934673, 0x7aff62d8, 0x95b42564,
+    0x52917a31, 0x0001ee2f, 0x6d4a09c7, 0xffd82c17, 0xa45220e2, 0x45907341, 0x1438cdbd, 0xe285ae76,
+    0xdac01ab8, 0x83a7f297, 0x580bdef3, 0x31ca936e, 0x2e0b4f07, 0x898f4f07, 0xb9a46532, 0xab0383bf,
+    0xe73f791a, 0x8e44ecdf, 0x2e95f2e9, 0x013d0f80, 0x2df32aef, 0xfcfce68d, 0xccc79a9c, 0xa8960f68,
+    0xaadb2836, 0xe3da2632, 0x514eabaa, 0xa795de65, 0x0add9b42, 0xfed0c5fc, 0xbd802569, 0x23cf52cf,
+    0x86eb8d0a, 0xdd4136b0, 0xea97ad8c, 0x5a34579e, 0x5171b565, 0x040eb01b, 0x61b1dce9, 0xa816c1a6,
+    0x5a368b82, 0x9ab74bae, 0xaedb162f, 0x11ec1718, 0x453bd474, 0x67cc2458, 0xca70adfd, 0x757a7f94,
+    0xc5e7fdef, 0xe2bc4e2d, 0x794b54fb, 0xfb218ad3, 0xd2935091, 0x81cb2d46, 0x6e8a1c52, 0x4e3b7670,
+    0x2e8c6a18, 0xf5b74501, 0xf9c04334, 0x402746e3, 0x09f13ce2, 0xc12b05f0, 0x48929024, 0xfdc43cab,
+    0x0042cd0b, 0xb41df690, 0x0de914ee, 0x4a0a22ce, 0x7c9c107a, 0x7a2dffee, 0xe8f716b3, 0xb2c26d0b,
+    0x4fd80226, 0xd8ddf6ed, 0x02a59ac2, 0xde0a43b5, 0x4bd39138, 0x97016518, 0x002754bb, 0x6405dc16,
+    0xbcd7af69, 0x900ca093, 0xd9ef4ccd, 0x563b9bb5, 0xed8e3668, 0x26409592, 0x49d43511, 0xfab72e30,
+    0x12d61e9b, 0xb9213898, 0x64c7f090, 0x3bc9ca67, 0xb5f0bc99, 0x77097f4c, 0x0117429d, 0xae78d413,
+    0x008768a2, 0x9900082f, 0x1d777350, 0x795aeb15, 0x0b376448, 0x961f9c55, 0xa4cd7551, 0x67cc2024,
+    0x27c3a89c, 0xf9110a69, 0x74b82c98, 0x3387316e, 0x74320db3, 0xaf676f79, 0x41ff1ed9, 0xdbe4b6bf,
+    0x3bfb713e, 0x82af74fd, 0xc2abf749, 0x7eed2c71, 0x01eee999, 0xf1164241, 0xa94f724c, 0x35f7eddf,
+    0x7b9aea98, 0xaecb8ac9, 0xc78c957c, 0xd9ed75a8, 0xe48b46f6, 0x8137edd4, 0xed9be3ae, 0xb30f1126,
+    0x961ba1bb, 0x89f49654, 0xe1ce7a38, 0x9b20e809, 0x275eabf9, 0xe5a65ca6, 0xcbd6b0fa, 0x950bea1d,
+    0xbf0df0ba, 0xe45903ea, 0x9931b989, 0x4f2b8b8f, 0x9afc641e, 0x6fd1a847, 0x3c3022ef, 0x60b0a4c6,
+    0xcfc887bb, 0xebf27ec2, 0xacacea59, 0x769cb256, 0xf5ab9e90, 0x664e9f6c, 0x2ccaaec1, 0xddabab2b,
+    0x3b557ad6, 0xced4be4e, 0x7207341d, 0xa02db8cc, 0x6c86a756, 0x107074b3, 0x8e961e7f, 0x7bd057d9,
+    0xaf9afb55, 0xd762cf56, 0x4b280a48, 0xd19c2834, 0x4a7836ac, 0x843a9021, 0x55044dd8, 0xd423a70d,
+    0xd9c671b9, 0x2e41fc9a, 0xbc392830, 0x1e5793b3, 0xde63c5a6, 0x57eac631, 0x2bb0540a, 0x6a1af84e,
+    0xc7c57c04, 0x27c79f9f, 0x85da119a, 0x221366be, 0xba8a04e9, 0x281602e2, 0x972fba02, 0x8464941a,
+    0xca026ed4, 0x6778a0ef, 0x6b2539de, 0x68ba369e, 0x01a5d29f, 0x3a540ee9, 0xd2f89c85, 0x75de0f55,
+    0x51527fde, 0x8d0f73c7, 0xf542697f, 0xf1c9f812, 0xc62d77de, 0x52e88a92, 0x4c52b032, 0x73cc4335,
+    0x5f2a51af, 0x4f315f5a, 0x987f4695, 0xb7661c73, 0x6bf93c39, 0xbd23cdaa, 0x312cf18e, 0x54f3eeb3,
+    0xa12d7408, 0x51769a9e, 0x92b016ad, 0xf6c03700, 0xa831c436, 0x04cd76ae, 0x1f10068c, 0x3a3c3700,
+    0x23904184, 0x00cbdb73, 0x00aca885, 0xa6489de0, 0x6a99f5e3, 0x33cc62f7, 0x7acddc39, 0x905ab25d,
+    0x43b9f50a, 0x7b7be175, 0xf26845bd, 0x58fb3dfa, 0x62347f2f, 0x0b08a291, 0x60e4a490, 0x81368c27,
+    0x2921e695, 0xa606ef95, 0x479a855c, 0xfd32b15a, 0x8cee8155, 0xb0d74671, 0x0ac15f83, 0x9290af46,
+    0x385e6980, 0xc33c7325, 0xd5dc6d60, 0x7e7bfde0, 0xf1829b0c, 0x288d5295, 0x009f9587, 0x3a1ac2ff,
+    0xe9510bdf, 0xee3d7b46, 0xdd1b2b43, 0x4bedcadf, 0xcfc34640, 0x3477333c, 0x2a3b660e, 0xbe3b3bd2,
+    0x0a3179f6, 0xea6312ca, 0xeddc5fad, 0x9d8aff62, 0xf0459f49, 0xd8880cdd, 0xda77fbf5, 0xd4d56ec6,
+    0x9ed86082, 0x4187109f, 0x77e46ed8, 0x56cf1296, 0x7daf5fca, 0xc1e81733, 0x17e94861, 0xe170a9ae,
+    0x0056d59f, 0xc2a610e9, 0x16f85a78, 0x8768b919, 0x2ae8a3a7, 0xc94aae12, 0x4f466f1e, 0xea5a8f21,
+    0xf4e42696, 0xfc35eb9e, 0x79ed578d, 0x6aed1004, 0x2ac799ba, 0xdf3a36eb, 0x63b6352f, 0x38f39bab,
+    0x599b7038, 0xfde79c0d, 0x8df5a10a, 0xe9cdb519, 0x6830a192, 0xf8698dc0, 0x72978d2c, 0x94e0baee,
+    0xcc5841db, 0xe328cabf, 0xb7f59c32, 0xac0ffe16, 0x2395b59f, 0xc314b8e8, 0x19a1b47e, 0x76a8bd9c,
+    0xd1b49af3, 0x0adbbc99, 0xd0ba94e6, 0x73499435, 0x5894e3da, 0xf984548e, 0x46ec2df1, 0x7832be42,
+    0xf1a20d36, 0x11a1c824, 0x23428170, 0x283d35bc, 0x0e34db60, 0x560e3210, 0x83f1a58a, 0x8e001074,
+    0xfda14d53, 0xf1d100a1, 0x33759904, 0xc14dcff9, 0xcae8f153, 0xd42b3fa4, 0xac8a71d6, 0x20914621,
+    0x7d8ab867, 0xd2e5d1a4, 0xa5959b28, 0xcb2fd632, 0x0689ce4b, 0xff8d6f27, 0xb3fbe098, 0x13145340,
+    0x4ca11497, 0xef50cbf7, 0x5049da13, 0xc64ed3de, 0x8e12672e, 0xa9bb9a61, 0x69ad9253, 0xea0a7123,
+    0x93f749f4, 0xd157919d, 0x78c97a9b, 0x64bc5263, 0xca8f6dca, 0xfc0d42eb, 0x6d510a67, 0xed30789c,
+    0x8347eda0, 0x49981ddc, 0x02ff260d, 0x75aa59fc, 0x7a3b90d0, 0xe41e6dbc, 0xdb43ca3c, 0x96a3ba57,
+    0xebae54fd, 0x4cc79c02, 0x04c7692b, 0xf61529ee, 0x70ed217e, 0xea0bff0d, 0xce4ef3fc, 0x71b8496d,
+    0xbe44236b, 0xb87f571d, 0x4f2b2247, 0x60773a9b, 0xa8cb24bd, 0xb982b051, 0xe563bef8, 0x8ee74afb,
+    0x9109b4d3, 0x62636feb, 0x4ff8efba, 0x8dcceacb, 0x32a692ac, 0x1c96d9fa, 0xcb2637a4, 0x8ed07a71,
+    0x7c6232da, 0xe5d114d1, 0x8de5d9e4, 0xeb425681, 0x40ddc062, 0xf0995519, 0xce3ce5c3, 0x8a6a7461,
+    0x2b35640b, 0x3c919aac, 0x48ec8935, 0x2befdf60, 0x7e5647ad, 0x722ae881, 0xf4ba3a7a, 0xef6b9c01,
+    0x3a9849e5, 0xa729d9d8, 0x3c1dd062, 0x08472567, 0x6cb8cf28, 0x4f44bc37, 0x433f1da9, 0xaab459ba,
+    0x4b21a348, 0x0d9d2cc9, 0x0ae82638, 0x22ab0959, 0x9020cccd, 0x2fb6d9f4, 0x28c92ce4, 0x075f47e9,
+    0x7c6d3127, 0x7b0f17c2, 0x81a54d39, 0x660b1eaf, 0x6880e110, 0x79e24031, 0x16a67576, 0xa8bd9c52,
+    0x85502afd, 0xc946f449, 0x8f954b12, 0x20b3534e, 0x4282fff6, 0x724f8d62, 0x9e7b95a6, 0x2b6d5def,
+    0x1617f9ef, 0x81f564c5, 0x6ee4419e, 0xaf36ce1e, 0xb554f159, 0xd0a7d9b7, 0x9a819bcb, 0x317e31a9,
+    0x19a3d5c0, 0x949e24d4, 0x9cd2c6be, 0x92c35544, 0x2741260e, 0x2df9e6fb, 0xca7e301d, 0xdbac1b2d,
+    0x2a042376, 0x86c2d71c, 0x298aec06, 0x0b13de3d, 0x0eaf9e0d, 0xa5747851, 0x672755fe, 0xe7ed792e,
+    0x29ec0a5e, 0xdb3f1de2, 0x48d405d9, 0x21eeb4f7, 0xa39d1484, 0xa9763a81, 0x9ecb55df, 0xa9645df1,
+    0xec6a4a2e, 0x583a33e0, 0x66aba89e, 0xd7251be4, 0x148b860b, 0xc4d3cb1f, 0x981fe5ed, 0xa0781504,
+    0xf0cc8f82, 0x075686b5, 0xbbeb7b9c, 0x96100536, 0xb5523bca, 0x4accee2c, 0xba20acb2, 0x7ce509ff,
+    0x2158dc67, 0xc4bf2f05, 0x53a00a48, 0xa3c3de24, 0xe077a542, 0x11e2a699, 0xc9e8a967, 0x99c8501f,
+    0xd3841007, 0xa121e789, 0x8b00fc9b, 0xb27b2235, 0xf4b31487, 0xfdd4ad99, 0xafae5323, 0xd4e4c0a1,
+    0x09fcb68e, 0xb0e0ecc3, 0x54989c60, 0xd2ddf41b, 0xf3ee21a5, 0x3bd0cc58, 0x8bdc149e, 0xf645cf4e,
+    0x5ec8acb3, 0x6826a470, 0x8ba4d82f, 0x511eab38, 0x09fe2547, 0x977ccd4f, 0xa768ba93, 0xd82df275,
+    0x10ac0cd0, 0x39efa202, 0x29bc4d96, 0x76385942, 0x8c4c11e6, 0x05a208c9, 0x97ab77fa, 0x46f0dd23,
+    0x2adfaf63, 0x53f51132, 0x7c18e889, 0x1b1cd30f, 0x08d44c43, 0xfd307527, 0x51545155, 0xc8b15347,
+    0xddb59aa7, 0xb4635c8f, 0x67279631, 0xd652ca3c, 0x268a6dba, 0x2d5a5d78, 0xb9c069e4, 0x0e57e624,
+    0xdcfa789c, 0x0606ef23, 0xef801804, 0x2564fafc, 0x21e3856d, 0xd50c2046, 0x4ea8c847, 0xb723670c,
+    0x254e268a, 0x6e4af5d0, 0xd4db033b, 0x1327d117, 0x9e4c344b, 0xe3de6555, 0x55305468, 0x38dace4f,
+    0x9545d952, 0x4d1ea86d, 0xc063c73b, 0x45bd2047, 0x12a977a0, 0x3641a783, 0x5979dd5d, 0xb8f7fbf1,
+    0xae1998d4, 0x540ce394, 0x8b4db76d, 0x25a8fb56, 0x5573c42e, 0xc4b585b8, 0x997031df, 0xbb2875a4,
+    0xbb4cada8, 0x378a12ad, 0xc69a5516, 0x7d131942, 0x5b7a5d05, 0x6b8835a3, 0x49d5a891, 0x6f8f4825,
+    0x3c764a5c, 0xa51b5b3f, 0x1b080ee9, 0x663cc482, 0xc532f8c2, 0xdfe3042e, 0xe33826af, 0x6f38ba92,
+    0x2455c85f, 0x9bd785ce, 0xffaa2ac2, 0x93fe8733, 0x6d88f6ac, 0x3ad63718, 0x466b62ab, 0x5a8bce22,
+    0x9a9bb0c0, 0x30472906, 0xd98be2c2, 0xe8af1919, 0x21fc06ca, 0x1163c953, 0x2facddc2, 0xd51ffb1e,
+    0x98ea4738, 0x25713061, 0xfcdfc765, 0xb658a967, 0x64e3bdc5, 0xca3f87c2, 0xf5cd8e4d, 0xcdd90826,
+    0xf688845f, 0x569cd480, 0xf27614a9, 0xc0feba1a, 0x7f2ae7fe, 0xf4f2e7d9, 0x50132604, 0x298d515f,
+    0xf762b199, 0x4c675ad0, 0xfd66bef0, 0x00cea3b5, 0xf32f0b94, 0x5b97ea94, 0x76f5a110, 0x00804e7d,
+    0x0374fc55, 0x86726044, 0x105724fd, 0x375a7000, 0xa52d36c8, 0x3d750289, 0xb37d1d76, 0x86d5686d,
+    0xdc2bee51, 0x854a5f6f, 0x55d1e144, 0x1dfb510f, 0x4abab746, 0x7c58d1e7, 0x4bd65348, 0x6a214875,
+    0x78df28d1, 0xa7321f71, 0x2016df05, 0x2e0fea10, 0xc0877f95, 0xf432dc30, 0x60143ee8, 0x9e930b5e,
+    0xb3a36740, 0xd2df6e8a, 0xc9ce76de, 0x3c8fb234, 0xf3e06e05, 0x89ad648f, 0xc1fb1cef, 0x78168d19,
+    0x56f76e0a, 0x2562b1bb, 0x01855e36, 0x24a40c77, 0x2745fb40, 0x8a057686, 0x2c929607, 0x2868a2d6,
+    0xaa5db785, 0xc410345f, 0x5e19e828, 0x4bbf5ec5, 0x98afecc8, 0x79ed550f, 0xc81911e1, 0xff89508d,
+    0x28dd2586, 0x5a20f0ae, 0x6b226b59, 0xa50ba207, 0x78300dae, 0x8df6e409, 0xff066cfc, 0x259b3a90,
+    0x18ae166c, 0xa1d99b84, 0x3b458f86, 0x5069bff4, 0xfb2d2480, 0xc0b58312, 0x7e569cad, 0x2ed50ffc,
+    0xb6f5cc83, 0x0437537c, 0xbf3188d0, 0x3ccba94b, 0x746a7dc5, 0x15087ad3, 0xe0f8c5cc, 0x43f6c456,
+    0xfe88d7a9, 0xd73c48b3, 0x5fcd752d, 0x61feadd6, 0xbbd9fb94, 0xcd43f184, 0x5305064f, 0x2daaaaf4,
+    0xadb8a496, 0xd3079007, 0xc22af3ab, 0x8e92e486, 0xfb84e1c2, 0x6d85eb96, 0x0a022f45, 0xc936ecaf,
+    0x3f125516, 0xc83fb838, 0x8ce8dde3, 0xad916dcf, 0xae2c4634, 0x9101253b, 0xff2a8dfa, 0x5edc6c67,
+    0xf114c822, 0x586b1526, 0xa4481cf0, 0x31d36331, 0x82040fb3, 0xd1497b5b, 0xdd910192, 0x7936d86a,
+    0xca847c48, 0x10450665, 0x7ffaa255, 0xb52ba571, 0xaa454574, 0xe3a00ef8, 0x4ff0fb9b, 0x0a9ec098,
+    0xda0a2752, 0x6230d896, 0x50b2786d, 0x97a2e576, 0xa34912ab, 0x43216b83, 0x7fab87e5, 0xa1fddff7,
+    0x24e7a903, 0xee206d3f, 0xa6f1226d, 0x5f7f331a, 0x097c3af1, 0xbef7f265, 0xc0cb2e08, 0x87cd8c94,
+    0x2d1f97e7, 0x3ef78210, 0x37c5309b, 0xf1dcbdfd, 0x9168e74e, 0x3f01faf9, 0xa2559282, 0x3ffe5499,
+    0xe459e90d, 0x70221955, 0xf5dd7698, 0x0bf747ed, 0x7466d2cf, 0x664c4307, 0x079178cc, 0x76da0d13,
+    0xeed43ef7, 0x8bf09eb5, 0x2689b4ac, 0x4583f62c, 0x0c2860fb, 0x8e962f0b, 0x72707bf0, 0x96c26b14,
+    0x2c4ee35d, 0x30f5d5d0, 0x47be0e59, 0xf64c4071, 0x73a78e09, 0x445c5af2, 0xbd8f6130, 0x2c07ec82,
+    0xd4f74297, 0x8030b425, 0xb66665de, 0x3db777dc, 0x5db97edc, 0xbabfca63, 0x76814868, 0xa4a6acab,
+    0xffdea9b5, 0x70a54135, 0xe323f493, 0x2e73f95e, 0xcd707819, 0x16316dab, 0x97d2ba73, 0x8f535828,
+    0xfafe6b41, 0x6b1464ae, 0xfe2b32e1, 0xa4c9da2a, 0xeee84ed1, 0x6180d1c3, 0x7b595408, 0x206848e3,
+    0x7d533b3a, 0x2aad2dde, 0x5e250ac4, 0x1e8ae912, 0xa5bda93c, 0x8437145c, 0x47b882cc, 0x76dc3a2f,
+    0x0e09b5d0, 0x32b17bc9, 0xca3d76c8, 0x2f2aed2b, 0xc31385a0, 0xd7e7f3cb, 0xd0f3999b, 0x796fe564,
+    0xc2c667c8, 0x44b6d1be, 0xb9fb57e6, 0x4c2dbbf6, 0xa8fcca25, 0xe1838029, 0x3ff550f5, 0x47dece50,
+    0x158498a8, 0x27dcc391, 0xe1139981, 0x8cb1abcd, 0xe99ada74, 0x013148f9, 0xc69d4e16, 0x63dce25e,
+    0x12fca9d1, 0xad791bf6, 0xf8bd0a2a, 0x59bafef0, 0x0ba7f297, 0x54dac8cd, 0x8c8658d4, 0xd1401b4d,
+    0x02d71a3e, 0x32d6c1e7, 0x8003a390, 0x15ffdf5f, 0x856bc2c3, 0x8f2f5437, 0xd4753a87, 0x75664a15,
+    0xb17d01b3, 0x9683e295, 0xcfa3bb04, 0x5e9a2969, 0xb5191b9e, 0x8737b7cf, 0x39e483fd, 0x2e339791,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          28948022309329048855892746252171976963317496166410141009864396001978282409984 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958, 0xb724a9bf, 0xbe8c3d30,
+    0x00000000,
+    0xb3757eea, 0x24a0ae14, 0x55a9dc9f, 0x2b0923e0, 0xc019d9f3, 0xd4d78248, 0xa68d336e, 0x10a1ab91,
+    0x58091356, 0x0ebf900e, 0xf514f1cf, 0x411ab03e, 0xdb12d28f, 0xcd0cfb97, 0x3d94d671, 0x68193778,
+    0xcdd3763c, 0x0a629462, 0x16396616, 0xd9a89a63, 0x5a7d4583, 0xb29bbaaf, 0xf03daa7d, 0x7e88151a,
+    0xe17a3f2d, 0xb8ee1ab4, 0x6cc63529, 0x3de709d7, 0x6b759420, 0x80c0f7e3, 0xe63b5cfa, 0xa5f41240,
+    0x4d8ebbe4, 0xcc970c4d, 0xdfb6496e, 0xf6e3a746, 0x673fb033, 0xf8cabdc3, 0xe6c90d84, 0x5d8a72bb,
+    0x643bb4b1, 0xac52c010, 0x31c4a0ca, 0x6ed905f8, 0x3a954e3b, 0x17105ef6, 0x86419ea8, 0x11ced939,
+    0x6f0f3141, 0xcac20368, 0x0a942a23, 0xe9ccb423, 0x5d7a05f6, 0xbfd95182, 0xedb52784, 0x5224e6cb,
+    0xbb9ef262, 0x98a9b399, 0xb0c32f36, 0xb6526ecf, 0x7adef1fc, 0xc915bf18, 0x07c65fff, 0x49a716cf,
+    0xf2182358, 0x491e43df, 0x344cfa71, 0x6c2d24cf, 0x92be69a4, 0x4a77b2e1, 0x43be1f40, 0xd19a9fa5,
+    0xeed05a17, 0xd00676b2, 0x2cc303ba, 0xec766aa0, 0xfedc01b3, 0x05571c63, 0xfe683cfc, 0xe2f52187,
+    0xca4b082d, 0x8975d064, 0xdce97f03, 0x0b19df16, 0xdf834d9c, 0x3836463f, 0x7e035ad1, 0xbd0a1cb0,
+    0x65a964d0, 0xf86328f0, 0x7a1f29ca, 0xf50ce17f, 0x81599a05, 0x81006d98, 0x11d04504, 0x91f285db,
+    0xae0639af, 0x4b234aae, 0xb33c0870, 0x368b8166, 0xf19a7d29, 0x37ad1c9c, 0x0c8a1bf4, 0x5f52bb79,
+    0xc0c44cff, 0x28f71f39, 0x8393c51a, 0x20d02252, 0x030ce17b, 0x4d1e38c2, 0xa986c11a, 0xe16274e6,
+    0xe35ac538, 0x2c70bcf2, 0xb05b274a, 0xaadb0d3a, 0xae4c1ea6, 0x46df8995, 0x42f78dcb, 0xe541dc7b,
+    0x35a60156, 0xf05cc2d8, 0xd06d2dfd, 0x5b77f971, 0xfdc8318e, 0xbf883f0b, 0x5e659467, 0x2f2aa8e4,
+    0xdaf43ae8, 0x208b5c1f, 0xba5f02d3, 0x266e66cb, 0xf50f3938, 0x29b49142, 0xaac284ba, 0x9134249e,
+    0xd2fefd53, 0x1c36af1c, 0xf544e426, 0xd22d4dfd, 0x499f5511, 0xc967fd58, 0xd55c9c9c, 0xd94c311c,
+    0x6137b9c2, 0xefe2ed7c, 0x41d535a3, 0x2fdab32f, 0x5c0fc5a1, 0x79986f8d, 0x3a0374b0, 0xdb84059d,
+    0xba5b8307, 0x46627227, 0xa4829b45, 0x70520e7f, 0x1dc34895, 0xe3e3b21c, 0x268dbb7c, 0x2d153888,
+    0x33afa001, 0x582298ef, 0x66e91fbd, 0xe9aaa5fb, 0x218fb633, 0xc6ae9147, 0xf873dafc, 0x765332ee,
+    0xc4f0c5f2, 0x4024600b, 0xc51c8c50, 0xaaf923b3, 0x2bface7c, 0xbd4bccff, 0x5ca1189a, 0xe1ac388f,
+    0x9a94dda2, 0x4ffe02c8, 0x1ec9c60d, 0xb58351e4, 0x60777df2, 0x98cd4ae2, 0x80650f65, 0x8b02ec22,
+    0xe9eabdf4, 0x7e680768, 0xc40f7386, 0x0dfe8593, 0x4ea195c2, 0x79916791, 0x79ad8680, 0x2fd6181e,
+    0x3d514bac, 0xc8df2553, 0x38ffe894, 0xb36a63a0, 0xa8704853, 0xecd4b5bb, 0x1ac0c905, 0xda7f187b,
+    0x12531a1b, 0x2d8f4a15, 0x18d919c4, 0x9648323f, 0xe0b39ea1, 0xf032c971, 0x53b4acaa, 0x5ac4bf38,
+    0x0f7019cb, 0x0fd7df23, 0x4df99968, 0xfa7a6baa, 0x89a67f48, 0xe5e865d9, 0xcd8c3c3b, 0x57d073c3,
+    0xbdbe2b9c, 0x966cad15, 0x306f30ae, 0x59e3098b, 0xcaa29fd1, 0x7a79847f, 0x77ed0c99, 0x94ea6a6f,
+    0x26002ef4, 0x347ef46c, 0x2fd14ccc, 0x657025ee, 0x5bf53d3f, 0x1af6568c, 0xfb8d00b6, 0xe24fab0e,
+    0x22b26465, 0x35e5ebca, 0xd691090a, 0x63f9ff46, 0x214e5322, 0x2d88ca7d, 0x37af39cc, 0xf1eb3676,
+    0x8b1db1e2, 0xfb86e760, 0xbcbf9a24, 0x85dda149, 0x13fd5d8b, 0xd40c664d, 0x69d427c8, 0x54896e10,
+    0xff4a78b5, 0x5f46eb66, 0x4c571bed, 0x25dea1d4, 0x1dcc4379, 0xe2e5d830, 0x7248f8dc, 0x4807846e,
+    0xb81930f8, 0x48e38b85, 0x9cf992e5, 0x0ea3b73e, 0x0e3c02a3, 0x42f93d5e, 0x9b3ca6e3, 0xf30cd085,
+    0x3f3810f5, 0xd463d629, 0xe5687021, 0x4f41b199, 0x21f1c493, 0x1feabd5f, 0x1ba8c1e8, 0x4941903f,
+    0x7b9dacf1, 0x5f9da43d, 0x8596c018, 0xc1333bf3, 0xca219825, 0x7f43106b, 0x2d678be1, 0x700b6bfd,
+    0x9f765f79, 0xada2cdda, 0xa19b8ab1, 0x06b51fec, 0xebeb5750, 0x31b0760d, 0xcfd70fc1, 0xe13155d5,
+    0xa333ca92, 0x34405f16, 0xdfbf46ae, 0x39b30baa, 0x4d841a14, 0x1ac6e801, 0x35865e33, 0xecc59663,
+    0x6bc1059f, 0x45d5553f, 0xebcebdc6, 0x309fe58c, 0x91b8e505, 0x011e2748, 0xf1b31e0e, 0x70e76701,
+    0xe4b51c4a, 0xe479db40, 0x573dd502, 0x914250db, 0x1ddf87d9, 0xee893325, 0xbf81d4ba, 0xec9eeb72,
+    0x89e87696, 0x439f4105, 0x1329a068, 0x1b26432e, 0x7cde9906, 0x24ecd92e, 0xac315f74, 0x93aa50a6,
+    0x9c699514, 0xe5b7931e, 0x2e580dda, 0x73873455, 0xe500f5a9, 0x10722cea, 0x9f73d867, 0xf23e1741,
+    0x158e98f6, 0x270a4bee, 0xc4db5251, 0xe5d9f978, 0xe0d225f6, 0xe0835823, 0xb6e08f3b, 0x8f86d24a,
+    0xae9eb177, 0x5a1764a9, 0x7fbd3dfe, 0x48fe09f6, 0x6a4268a7, 0xe470fbbe, 0xb5e089ec, 0x29fb0d53,
+    0x0948296d, 0xb620a63e, 0xcb527768, 0x7ab68c37, 0x3442c25e, 0x989733a5, 0x144b8590, 0xb3e26704,
+    0xb184c5e4, 0xed3a3b4d, 0xd75f6fda, 0x8168bc7b, 0x8a83a956, 0x040d3040, 0xcb1c8195, 0x14f44aac,
+    0x9360b509, 0x584d174b, 0x885c8b7e, 0x01180b5a, 0xef1e08bb, 0xe1188a53, 0x0175f3c7, 0xeb4354a0,
+    0x3713bde4, 0xec28db2e, 0x9be799fc, 0xd9818281, 0x9545ff38, 0x8207805f, 0x2d7e303b, 0x1fbc526d,
+    0x30395ca6, 0xd14786f1, 0xdcef2f8e, 0x1f545cb2, 0x82ae3200, 0x5f06653e, 0xf1d84f69, 0x7ed0aa62,
+    0x0e191b4b, 0xb07b8fcb, 0x417f98bf, 0x562ea7da, 0xdd8ce086, 0x1dca8fcf, 0x1478b526, 0x647ffbbc,
+    0xb2486f73, 0x25decaad, 0x27b5ed4a, 0x850a38db, 0x7b9c85f7, 0x62fb5883, 0xc883094a, 0x71cd9e52,
+    0x5324fb8d, 0x77f64450, 0x1a79ca0b, 0xffd8df91, 0x10f4d2ad, 0x7e1cb557, 0x94da2ce1, 0xee15810d,
+    0x6e5da6bc, 0x77707e6b, 0xd50008f3, 0x3fffdd3a, 0x8bb07578, 0x63487db9, 0x3ecdaeb3, 0xae72eac8,
+    0xfbe6be2b, 0x38473204, 0x1b75af36, 0x38c304ba, 0x0204c4b7, 0xc85b4d97, 0x2f491ba1, 0x72ec6bab,
+    0x08c2570e, 0xb8438c48, 0x7fe2d3ab, 0x9f1168c4, 0xe4496670, 0xdcd842ac, 0x72144c2c, 0x091fe2cb,
+    0xeb65e2f0, 0x4c18a7b0, 0x10b808e6, 0x957c44dd, 0xbddd3d41, 0x609bdac3, 0x18661c63, 0x6476d857,
+    0xf8ffe685, 0x51e69cf2, 0x42f6968e, 0xa8ee04d5, 0x8d82a7c9, 0x174eab4a, 0x7996d6d6, 0xd1910256,
+    0x66af108f, 0x2eebb807, 0xe447c3c6, 0xf8d9ed0d, 0x7772a627, 0xefb839cf, 0x6613c87b, 0x13a47c51,
+    0x4b22cb97, 0xd973376d, 0x01965156, 0x9bf60cb6, 0xf647222a, 0x2de80d93, 0x5c5b1eef, 0xfa98da56,
+    0x7e54c6ff, 0xeccdba5e, 0xe032a5bc, 0xd964b39c, 0xd2c4e03d, 0xfae85932, 0x4254dc56, 0xb2bce55e,
+    0x2c6729bd, 0x9f34d2ac, 0x9e63362b, 0xe7dab6b5, 0x568c2b82, 0x64693e46, 0xfc0b361e, 0xeafa8718,
+    0x181f3390, 0xee1a26a5, 0x9536037e, 0x82ecc60d, 0x7eae9081, 0x12a7015e, 0x3e7aae04, 0xa6baa942,
+    0x48308d0f, 0x635f31b8, 0xa380c62e, 0x9f97a0bc, 0x2795ff55, 0xaa56c162, 0x7875a7d0, 0x089bf62b,
+    0x35bfed15, 0xd60ab28a, 0x59097cbd, 0x26050c85, 0x4987c880, 0x1e9b6f86, 0xd8b38b50, 0xc5b01567,
+    0x3e222f01, 0xff93ee9b, 0xd1521ac1, 0xebade36d, 0x1662f989, 0xbd4dac7f, 0x14e1ef31, 0x98aacdef,
+    0x9d0dbe13, 0xd0237c38, 0xde4da51a, 0x1e97124e, 0x23e7a211, 0x99a1a03e, 0x1ea6fbdf, 0x82dc1d3e,
+    0xfd4eb070, 0xe9e05db2, 0x0264cd38, 0x88e30657, 0x0fb7ce76, 0x168bf84d, 0x9e532682, 0xb48f7c8d,
+    0x9558c5f9, 0x414e4393, 0xf84033f3, 0x90712a1b, 0x9c4c5449, 0x09731a13, 0x52e45f5b, 0x02b038e1,
+    0x3ddce880, 0x04f55340, 0xf0f012fd, 0x9afc0b96, 0x2a41ff6b, 0x39b8b782, 0xd74de39e, 0xec56fe3f,
+    0x8d559a1e, 0xf2e25574, 0x17cf0375, 0x1643d5be, 0xf7df2b6e, 0x8c27cbbc, 0x24c6cb71, 0x09fab4f0,
+    0x86ac8a7e, 0x38d3d50d, 0x4f86c065, 0x9779dab5, 0xffec4473, 0x46617c51, 0x95564f06, 0x31d483be,
+    0x5c812a9e, 0xfd437271, 0xa840c3a3, 0x902f792b, 0x536d5ab1, 0x771eacfa, 0x6c569da7, 0x344ae7f6,
+    0xd3f6e603, 0xaee7f886, 0xc0aaeb95, 0x0c5dfedc, 0xe4df6399, 0x4c2d97e0, 0x6cef5b5b, 0xab26a7b2,
+    0x03dcd2dd, 0xfa52d4d7, 0x8aa8b2c1, 0x5a28b7c2, 0xf2af4744, 0x6d7e8410, 0x549d208d, 0x462c7ca3,
+    0xed7dd817, 0x45c01b28, 0x521ceec4, 0xeaf03868, 0xc59f822b, 0xe7f27835, 0x81143aca, 0x0af3f3ff,
+    0xfd309301, 0x2aebd066, 0x53d80b3c, 0xf10ab78f, 0x27ba1143, 0x9f1315bb, 0xbeed1aa0, 0x76a6355f,
+    0xc6bb1bbd, 0xa8e90165, 0xedc951d5, 0x2b08c694, 0x738230d1, 0xfc741a55, 0x3b2a563b, 0xe5b348e7,
+    0x76169197, 0xe7da722e, 0x3d4dc8cc, 0x99dfb61a, 0xc8bd2c0a, 0xea3240c5, 0x3945e9f5, 0x5394d938,
+    0x86b1b58f, 0x6ab37413, 0xe9320327, 0xe6b7475a, 0xb449a768, 0xcb56b687, 0xfd3ce2c2, 0xae68de0f,
+    0x8da2e09e, 0x039a9b38, 0x63a559cc, 0x78ab8ed6, 0x94fc6ff8, 0x99d3f28c, 0x8ae10230, 0x1dce1bb4,
+    0x2b6d4696, 0x90e10dff, 0x533258f5, 0xeda782d1, 0x089b0111, 0x8984a334, 0xdc2f7a1e, 0xe8e43620,
+    0x422e5f3e, 0xe6811619, 0xc7e0b6e8, 0x1065c797, 0xd12d7b26, 0x0924c46c, 0xf587d744, 0xe145dbe5,
+    0xbde43666, 0x761976a0, 0xcad191ff, 0x4129a3a9, 0xe585f175, 0x8f5f10f8, 0xaeed8809, 0x655c53b3,
+    0xf4d8525c, 0x62c01a56, 0x16c3693a, 0x24114791, 0x91af58e1, 0x81f1bfcf, 0xccf8cc4d, 0xf7ac6380,
+    0xfd81829e, 0x69be554f, 0xe60b0fa0, 0x2ba0ab27, 0x946039b0, 0x7633ce71, 0x34c354c3, 0x97803412,
+    0x99c720c9, 0xa26d1580, 0x158232cc, 0x553fc583, 0x0b1fc7cb, 0x986d14e1, 0x6451502d, 0x774760ad,
+    0xf6c980ee, 0x2f22196d, 0x2409cf93, 0x3c803093, 0x5a4e3cbe, 0x11f90b50, 0xb7701039, 0x7708dc18,
+    0x558b5fc5, 0xa4b92af7, 0xc45da298, 0x764664a4, 0x6d295f45, 0xfb31fca4, 0x5c8a68a7, 0x4fb13200,
+    0x8a234fb6, 0x4ed0748e, 0x7c9821b3, 0xd6664d7d, 0x3917bbc8, 0x273424d0, 0xd2b7879a, 0x5c66344e,
+    0xb9a45cdd, 0x969e531a, 0x12b24953, 0xbc1fa859, 0x8590084b, 0x9a633273, 0x40c1db9e, 0x2a45c6a6,
+    0x118ee58d, 0x197b2f81, 0x28f72865, 0x77a755a7, 0xc4694c50, 0xd50602b0, 0x4af4bb38, 0x649e5571,
+    0x9d4605d1, 0xe6f54e38, 0x62afc50a, 0x2bbb8922, 0xf19ce6b5, 0xa961c0f9, 0x082fcbf7, 0x41fc5eaf,
+    0x0470ce63, 0xae4f17f1, 0xea989e96, 0x77ea73b1, 0x4170c43f, 0x68ae0153, 0x5feab5ab, 0x2f9b95c9,
+    0x40f93fea, 0x561cf094, 0x28a9bb8a, 0x67d96d56, 0x0d6fff5e, 0xae2dc967, 0x02bc86ef, 0xffccd0fc,
+    0xc04519e0, 0xf4d68516, 0xbc17ffa6, 0xfd48bd20, 0xfcf1ffcf, 0x06b90060, 0x79b5eb66, 0x31f2f36a,
+    0x2f503181, 0x8932c8f8, 0x37d22964, 0xb4e278cf, 0x6729533a, 0xac192b60, 0x428e703c, 0x230ad3e8,
+    0x7220b2cf, 0xdb0a2465, 0xdaaf5df6, 0xcb5a0372, 0x783e342c, 0x3ef19343, 0x63d05c35, 0x438fc5ee,
+    0x1a2836ff, 0xb0e28b71, 0xd950418e, 0x7fee52d5, 0xfa0fbf8a, 0x9ae4eff9, 0x8a631121, 0x0a5eb745,
+    0xee667af2, 0x80e7bc7e, 0xbfbaec63, 0x1fe24e96, 0x1201bd20, 0xf294848a, 0x86e45b94, 0xc21b3b79,
+    0x831e44d2, 0xecc2006f, 0xdfbc4333, 0x20f9dbdf, 0x5fa2a550, 0x10d033db, 0x238adebd, 0x984595c7,
+    0xae09c7bf, 0xa2fb9e97, 0x38a6bd34, 0xe75b344e, 0x54e63e7c, 0x5ece8669, 0xb30c5e66, 0x915f7416,
+    0xa213c984, 0x29c5d537, 0x924544d4, 0x7eebd4c8, 0x25641374, 0xd73d338a, 0x8aa07a53, 0x5ec40ab0,
+    0xbdbbcace, 0x6d7dac6e, 0xd0cc5370, 0x8273228b, 0xe14a7b8a, 0x875fe965, 0xd15a08ed, 0x82d7aedb,
+    0xe7e23f55, 0x88af0214, 0x142c2fe2, 0x9d4c13e5, 0x5580897c, 0x5dea24a4, 0x8c6b0222, 0x994246b7,
+    0x3a2439ad, 0x2730486c, 0x31e5e268, 0x79dd959a, 0x7e813baa, 0xed588a53, 0xebdf08fd, 0xfd6af756,
+    0xe9aa05a4, 0x794ca1d0, 0xec969f98, 0xd5ea708f, 0xf17ba3ff, 0x400c9678, 0x0f0cc3de, 0x1fff014e,
+    0x9f7733d4, 0x3bfd7c77, 0xdde66bf8, 0x68da4f55, 0x09070ae7, 0x1b22c91a, 0x732a4092, 0x28826a08,
+    0x61183fe3, 0x085b626f, 0x2d1981b9, 0xde7d1ce7, 0xbc8fc827, 0x419f5bb7, 0x4b079889, 0xf40f53e8,
+    0xd5765e9e, 0x157bdb3a, 0x798c4e76, 0x9dd7897c, 0x5c0aec6a, 0x03f9c4a9, 0xa9e23b3b, 0x6b793020,
+    0xfefb5d48, 0x7cfa9d69, 0x3ff4f25b, 0x776ec6a4, 0x46b410dc, 0x4ffd565c, 0xa61b7565, 0x0f5b15cd,
+    0x3c237fc0, 0xbc5a8722, 0x96c08adf, 0x7ec8f492, 0xaffdb434, 0xddd1ad98, 0xb1f2e7d0, 0x52a19e9c,
+    0x3efb5813, 0xe1eaed1f, 0xe84f9f9a, 0xa77a15b1, 0x9a40b308, 0x39b7ba13, 0x36a38a23, 0x436277fc,
+    0x9b42090c, 0x0e2ab048, 0x2a541ef2, 0x91ab5fb0, 0x889c8c86, 0x5a126826, 0xde92c35f, 0xdf51f78c,
+    0x902b8f8c, 0xb9bb761b, 0x4d39fc5a, 0xf37b07e6, 0xa7aefb90, 0xc0c39e16, 0xf128c1f7, 0x8f0b75a7,
+    0xa9576a66, 0x9fa3e1d7, 0x51b7b549, 0x876e2aaf, 0x51696bb4, 0x74fa04be, 0xa276396f, 0x55f87c40,
+    0x9ac9e45e, 0x14ceecd2, 0x044a7c86, 0xb6784938, 0x10a83deb, 0x55cfa5b6, 0x4a2c1f4e, 0xafb89ee8,
+    0xb6d3abe5, 0x74aee1f0, 0x799a2b08, 0x0d49ddaf, 0xab2c689e, 0xfb591145, 0xfd383c85, 0x7d5bbef3,
+    0xab2f4739, 0x6fcabfb8, 0x2b27f6f1, 0xacb4ebeb, 0x8a288626, 0x4e7783ed, 0x8cff39df, 0x978d1c87,
+    0x5f22fe30, 0x2566173b, 0xc33cd49b, 0x174f4950, 0x0fed652a, 0xe832250a, 0x7a36abb5, 0x465fd961,
+    0xe5544636, 0x9cd38599, 0x8669c055, 0x806a009f, 0xc1aaf87e, 0xedf7d854, 0x40bf7945, 0x45a19f98,
+    0x9b4ae9a8, 0xfbc4215c, 0x5b966386, 0xfb165d1d, 0xe89fa9e9, 0x13d224b6, 0x5ff1f287, 0x626b95d9,
+    0x29f01345, 0x15a95149, 0xc1018c59, 0x75e1102f, 0x1f76cd92, 0xdf682618, 0x2cfa47b4, 0x557afe2c,
+    0xacbe51ce, 0x7723d2ab, 0xd5d60b80, 0xf025e657, 0xb53d8b5d, 0x5eede617, 0xdd1f3a11, 0x64869385,
+    0x5d3416f8, 0x40fd3160, 0x2ca6b9d1, 0x4931bd29, 0x5b8db4f4, 0x4d8e1e31, 0xecd76d61, 0xf63e046a,
+    0x2aa7f145, 0x615bac8c, 0x33e8d3cf, 0x5e643c0f, 0xa0e5595b, 0x20efdf1e, 0x612f430e, 0x943912bc,
+    0x66cc7743, 0xa8cc9a35, 0x7118790d, 0xa9d2357c, 0x9941e4e7, 0x82ba80e1, 0xfb655a0a, 0x2c41f6fa,
+    0x0cc44e66, 0x9846ce57, 0xafc0117d, 0xd0881974, 0x715970b5, 0x4562cfca, 0x4454db75, 0x01f8e2b8,
+    0x00000000 }, /* 10**-00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          14474011154664524427946373126085988481658748083205070504932198000989141204992 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254df, 0xdf461e97,
+    0x00000000,
+    0xd656f4dc, 0x89b7a19b, 0xf11e5e6c, 0xe4ddc234, 0xf8be2476, 0x354640dd, 0xa2b3f81a, 0x4b5468fc,
+    0x14d9bb49, 0x7d8b1585, 0x2497db90, 0x65369c86, 0x969e3f37, 0x7e9ac263, 0xaae09822, 0x3a89c0ce,
+    0xab40ac99, 0x886a4ea7, 0xad4e8c27, 0x5c578538, 0xaef0d4c0, 0xfb7b117d, 0x48ccedf3, 0xc525a227,
+    0xa6228db9, 0x59e11ba1, 0xbe04568c, 0xd3c0316e, 0x5d58f7b8, 0x8be7e510, 0x9ea22bb0, 0x5f576ede,
+    0x86b13367, 0x1222856a, 0xfee9f8f0, 0xbe1c7a46, 0xddd2ee24, 0xaafd0904, 0x082a1474, 0x217772fe,
+    0x2621013e, 0x5bf29e8c, 0x764b9ed5, 0xf3a47885, 0x6860c902, 0x14a8272b, 0xad057f41, 0xe11e96c8,
+    0x82b63b1c, 0x2c73d20a, 0xaa6db336, 0x48a25598, 0xde6cbead, 0xfb06d9a6, 0xd5dc2889, 0x1f284b92,
+    0xac85cb6e, 0x8bd02a4b, 0x2217a1fe, 0x810a9ddf, 0x57735cbf, 0xef3ac383, 0x0734f403, 0x53c5c024,
+    0xc131f9bc, 0x3a72caad, 0x2e1492aa, 0x4737d9c9, 0x7ecdf37d, 0x6576ffe9, 0x045a18c3, 0x87f3fa51,
+    0xd82cbb09, 0x191e5b54, 0xb67cb61c, 0x9ee01a24, 0x2ab804a8, 0xa22893a3, 0x39aefc8e, 0x5f134aba,
+    0xc38ae148, 0x054aacc3, 0x15fbe3a2, 0xf2ca4507, 0x1c016411, 0x626b02ce, 0x902266f6, 0x62b2bd07,
+    0x97811385, 0xc8ce057a, 0xf6f2ec68, 0x4b36c98b, 0x436d91ef, 0x37201e08, 0x4779daae, 0x133b7dbb,
+    0xc2b9efaf, 0x19711df3, 0x7d48ff23, 0x81fd6945, 0x1a34f9fd, 0xe1d52336, 0x5a3e84c5, 0x59c0c019,
+    0x2479ce0a, 0xb892f45b, 0xd4a6bfd9, 0x35656ef6, 0x05bf1b92, 0x109bb9d0, 0x70dce45c, 0x0e7a72c7,
+    0x53f14d60, 0x90b50e6a, 0xf507720b, 0x55763780, 0x35c75f32, 0x7c5fee9a, 0x82df339a, 0xde0478f3,
+    0xfebb7804, 0xb96370e2, 0xa1c416ed, 0x2a94c48d, 0x2cb708d5, 0xaeedc14b, 0xe6f97a8c, 0x498df7ba,
+    0x1b1cc85f, 0xf88bbfc9, 0x7b6edabb, 0xc02a0930, 0xb7ec16d4, 0x3f41fa07, 0xcc2fc87e, 0x6aa64e4d,
+    0xdd4d61c2, 0xfab16465, 0xd819b25b, 0xccff4bc7, 0x36bf750d, 0x00fc2550, 0x3d6a77b5, 0xed829d99,
+    0xd48f5f5e, 0xf0bceaee, 0x5815ac07, 0xe0a8256a, 0x1e11bb3d, 0x351a55c4, 0x349a9857, 0x0c455eb8,
+    0x457d641c, 0x27e74f64, 0xa07f987f, 0x4e941c8f, 0xe122e9da, 0xec6cd0da, 0xd5b4522e, 0xbb64274d,
+    0x776f660e, 0x14bb91dc, 0x33c32e91, 0x568bf7c1, 0xb903e5c4, 0xe303e2f4, 0xfe0e2887, 0xce65e9fb,
+    0x4abec1ac, 0x6d640fed, 0xbb665e17, 0xc0496fcd, 0x006540bd, 0x193821bc, 0x2d9f3535, 0x1e65b6d8,
+    0xe64ddbfc, 0x61482bc7, 0xf610d255, 0x8c64709e, 0xd2e063c1, 0xc8ee557d, 0xd5662598, 0x13330565,
+    0xc3c3d750, 0x79f93df0, 0x4db0e579, 0xdde6f407, 0xdc9bd845, 0xd27cc8e4, 0x8fab1792, 0xee6874d6,
+    0xd4c13cb3, 0xcf8aec67, 0xd6fdd476, 0x1c91bd69, 0xe4883ee1, 0x795ad2f0, 0x9b5224cf, 0xd3108d6e,
+    0xecd4eae3, 0x7452245b, 0xd75728e4, 0xd2c18c16, 0x1f608e56, 0x2945c072, 0x7042bfbc, 0xa19bca0f,
+    0x50a43f59, 0x72cce2ed, 0xbed5847a, 0x858be319, 0x501889c5, 0xfa5a95af, 0xcf2bb950, 0x65f77828,
+    0xf32c87c1, 0x51a20f29, 0x0237f40d, 0x61a8afc0, 0x5d738e0b, 0xf1f0129d, 0x290ace20, 0xef3950c8,
+    0xcc5b8fa7, 0xe5945869, 0xe5a6f13c, 0xb1574828, 0xdada0622, 0x492249cf, 0x3c39b100, 0x800ce887,
+    0xb7b79d47, 0xf33b8f2e, 0x948eb2ab, 0xf102ea65, 0x0cda14d2, 0xf7f547ed, 0x8e568a6c, 0xfbe8d439,
+    0x47b9d162, 0x71a43d96, 0x3879eb49, 0x8e49eb25, 0x93190519, 0xf5ea2153, 0xcbcd5674, 0xfc523666,
+    0x3b744dac, 0x7988be0b, 0x7a3f75c3, 0x4a772e8e, 0x53408a41, 0x45dc3df8, 0x56954f77, 0x523d6bce,
+    0x1c8307ff, 0xdd01b840, 0xcce57223, 0x172a833f, 0x50594a28, 0xad501bfb, 0xac265336, 0x5719e749,
+    0x94030e41, 0xde9f938f, 0xab3cfa82, 0xf5c084c9, 0x79eae559, 0x40f9b708, 0x4e4490da, 0x0d4c3430,
+    0x266c0824, 0x33ccd46a, 0x8b5b3854, 0x99b80463, 0x72d281c4, 0xf3d50096, 0x06a9f53c, 0x6bf4c83f,
+    0x64dc2b0a, 0x5aee5469, 0x82b609a5, 0x2627b56c, 0x7165418a, 0xe16cfba2, 0x26f04b93, 0x2572563c,
+    0x7effdc27, 0x06492a36, 0xdc7f96ee, 0x15087397, 0xe526992b, 0x3ed44d40, 0xa71b2187, 0x50c735e2,
+    0x6731a4b7, 0xa9b1b436, 0xba63b44f, 0x4715ac82, 0x048a5ed5, 0x3c42cb4f, 0xdd72be7f, 0x1b3cf626,
+    0x250980ee, 0xa16f99db, 0x205c41a0, 0x571c7700, 0x740ae072, 0xd06c5f4f, 0xf854b5e9, 0xdba25fd7,
+    0x52fdf574, 0x06be7b84, 0x1450b6c9, 0x6213e56d, 0xdf3f6641, 0x8cfb7a09, 0xeefb6147, 0x5685f554,
+    0x248d5417, 0x6d5dbb75, 0xb2f4d2ef, 0x005e7e2e, 0x321c55ce, 0x8eb5719f, 0x5ba31b63, 0x25e12e4f,
+    0xb58fe847, 0x9acf6b7a, 0x1eb45f43, 0xa588580b, 0x90565fbf, 0xcb34cb3c, 0x0ed50466, 0xb145de0b,
+    0x922696e8, 0x765a4985, 0xefe89db6, 0x36fbe0da, 0x2821bca3, 0x52b964ce, 0x3b03e6ae, 0xc5919e0e,
+    0xb7b183cd, 0x8c458c36, 0x3445215b, 0xc1cec0bb, 0xacbb0ece, 0x09382a9b, 0xa872ef59, 0x41137948,
+    0x6776af70, 0x6df99648, 0xa8d86582, 0x97813377, 0x1b968c88, 0xe65762b8, 0x2e806a80, 0xd1d2a26c,
+    0xc469ccd3, 0x332b2ccf, 0xdc7124f6, 0x3a149e0f, 0x628cda1c, 0x1f60ef36, 0x63722858, 0x5e96da6a,
+    0x48b34e7c, 0xec89eb3f, 0x14c0c816, 0xbfd2dabd, 0x19db82be, 0x21910266, 0x4b90dc4f, 0x68094343,
+    0x149bcba6, 0x50b1349e, 0x7a1ade49, 0xfe367e60, 0xa8aea992, 0xefbd0632, 0x1035559c, 0xb1b5e88b,
+    0xb4a3efc5, 0x9183c24f, 0x02dbd385, 0xac6245fd, 0xd8e3e214, 0x7bb89f85, 0xc0ec58be, 0x8e551a49,
+    0x80310ad0, 0xe7eee383, 0xe1b70895, 0xbc401fa6, 0x8a464f32, 0x73eb479c, 0xf0136f55, 0x197db9c4,
+    0xad27796c, 0x8a0b2a6f, 0xd46fc499, 0x8f06aa9a, 0xbad45222, 0x11d89aca, 0xa0ffba6a, 0x09e92ea7,
+    0x0765dc20, 0x8e39fa59, 0x8a3510f3, 0xde6dd5fc, 0xb2c87428, 0xe2a54046, 0x895c7a34, 0xd8b931df,
+    0x1cf7e61a, 0x57660ad2, 0x04b8d333, 0x7c905e83, 0x2c05f79f, 0x5b99afd1, 0xe44c640c, 0x1df7e8e7,
+    0x33be61e5, 0x0e8733d6, 0x17e0eca7, 0x553dce61, 0x2c23b36f, 0xc787a886, 0x6e476e79, 0x0c30d677,
+    0xc0a385c7, 0x88167176, 0x7e67c1f1, 0xe346a979, 0x9df55ffb, 0x083c62b0, 0xa6d6c3e8, 0xad55ea92,
+    0x056b25fa, 0x29506d4e, 0x09fea654, 0xda53059a, 0x5bc57d15, 0x513161af, 0x30e33d5b, 0x5043144e,
+    0x8172f0c6, 0x787f8bc8, 0xf0cd274b, 0x37723f5a, 0x85d8ebf7, 0x5e7d98f6, 0xc1d72337, 0x2051486d,
+    0x2ffccdff, 0x25b44e98, 0x43a7c627, 0x84db2ec2, 0x80354cd0, 0x8f882c9e, 0x8f20b6f8, 0xc1182ee8,
+    0x7a1e544b, 0xa158fd36, 0x95f4f653, 0x3fd267ee, 0x168f8986, 0x8b1b03e4, 0x3d4429d3, 0x1bc75e0b,
+    0x8b117747, 0x5f514ad9, 0x7ceed1bc, 0x3daa8327, 0xe4e4f1f6, 0x966a1e79, 0x58894da1, 0xb41b61b0,
+    0x646dab75, 0xd874d292, 0x4cecd4a7, 0x1ea0dcec, 0x2fe6c102, 0xb1307ce7, 0xb4ed136f, 0x0dd09b6d,
+    0x77492870, 0xd9d122be, 0x685b20ad, 0x29cf026b, 0x1c03b44b, 0xc957ee91, 0x5b8eef02, 0x4f326460,
+    0xf5cf0504, 0x1c6d87d4, 0xa7e82f97, 0xf2c15c23, 0x57a9c409, 0x93fadb1f, 0x5ebc9077, 0x86f96b59,
+    0xb83c6782, 0x7268076f, 0x36b4bd7b, 0x5744cfac, 0xc073e8af, 0xb7458376, 0xb38cf292, 0xa3a0ac9d,
+    0xffcd2b84, 0x1a9518ac, 0x5f454497, 0x443b6102, 0xe60c7168, 0x253c2322, 0xc5a229c8, 0x5c27b4a3,
+    0x3a07b5b6, 0xa41128a1, 0xb5600804, 0xd4b661c4, 0x2b3b3c1d, 0x9f8c1b7f, 0xea8a9ff0, 0x0b76ce6f,
+    0x4ec19270, 0xa9b9b910, 0xbee37022, 0x1ae79327, 0xb717394c, 0x3edc005e, 0x33b6774e, 0x668050b6,
+    0xc90567dc, 0xdfea183e, 0xf6762aef, 0x989a67f9, 0xbf3223ac, 0x95769e3f, 0xb393da87, 0x8765378a,
+    0x945a91c2, 0x3fb54415, 0xd18a13b0, 0xa8511bad, 0xa5a3cd12, 0x6a8289a5, 0x02afd40a, 0xaeee1ea3,
+    0x34b29438, 0x6beb8b13, 0xffeeacda, 0xa09a5ef6, 0x511abafb, 0xc24d32b9, 0xaa5a2986, 0x58fb3368,
+    0xf983951b, 0x44febb00, 0xd7e19f6a, 0x9602e9c8, 0x98af39e2, 0xa0eddc63, 0xdb77ef88, 0x97dc8dca,
+    0x783d2dab, 0x49f10e60, 0x97482ac5, 0x1fdd619f, 0x957efd7b, 0xb993674b, 0xf19ca080, 0xbfd18848,
+    0xaef7bd94, 0x1332a6e1, 0xa560b60a, 0x0bc3e301, 0x6393b5e6, 0xb1ae4abf, 0x72f40cdd, 0x057a9c50,
+    0x844672c8, 0x50006f05, 0xed024cba, 0x48d2d26a, 0x167836e4, 0x4bc8e8a7, 0xfe1b3c5b, 0x01a1f302,
+    0x8fb0dd5d, 0xf705f7e3, 0x87a6abf5, 0x4168ec6a, 0x397e0de4, 0xcc175775, 0x8772b695, 0xbc5a7c9b,
+    0xc1588bc6, 0xf89ee1f7, 0xfea1a62d, 0xa4af85d8, 0xe88b3e01, 0x68ea1131, 0xe4b95c4c, 0x01a15f98,
+    0x528838c8, 0x9f16bb7a, 0x6b0788c4, 0xb98f36e2, 0x2fb94db7, 0xf58d57c7, 0x31e3a085, 0x1ce89177,
+    0x69cf9713, 0x89bfe36a, 0x9bc09ef9, 0xb2329d92, 0xb36bbd65, 0x209f4100, 0xd3bf54e6, 0x1f011263,
+    0x013b24e5, 0x1aa77505, 0x6fd9e5eb, 0x965a4b4d, 0xc9ed3619, 0x8a927762, 0xa631028d, 0x41095ebf,
+    0xaf87e806, 0x5618e1af, 0x2e14cd2d, 0x68787aaf, 0xe8488457, 0xf4766ffd, 0xaf81f6df, 0x08c33b9a,
+    0x94910e11, 0x1ff6d736, 0x8a92ed0d, 0xdc00aea7, 0x361f1984, 0xb992e38a, 0x21f9cde9, 0x946ceab2,
+    0x6345e9ac, 0xe9320cb2, 0xd8b29dd8, 0x5fd30974, 0x68ecca7c, 0xf0d9619e, 0x268d7321, 0x24ea416c,
+    0x48d2630a, 0x97d6c6a7, 0xe281c7ee, 0xe0a81058, 0xbb5b9f3d, 0x060feb9a, 0x7851f8f2, 0x72d1e2cc,
+    0x8f7a2e86, 0x05bbe2d0, 0xcdf2b8d2, 0x517a6110, 0xe015e95b, 0x3a39581e, 0x5faca681, 0x914bfc41,
+    0xc6f0a218, 0x2d71a649, 0xca17113c, 0xe7a469b6, 0xdc17baea, 0x365dcf87, 0xc958afad, 0x38534be5,
+    0x75c81713, 0xb238abb1, 0x75b8ae11, 0xeaf98190, 0xdb62879e, 0x6f9f327f, 0xd8127dae, 0x81e38885,
+    0x0aeff060, 0xa3569827, 0x8c4c20a5, 0xd4653934, 0x559b6c9e, 0xe882652b, 0x00fe7470, 0xc818e6ab,
+    0x527af9d1, 0xb1394560, 0xa51157d5, 0x90d23946, 0x105d70a8, 0x07568f7d, 0xec7c2200, 0x1c8fdad4,
+    0xbedeb01d, 0xfbb05a13, 0x9502a75e, 0x6d34dfae, 0xc0a0476e, 0xacbb355b, 0xd7abca0f, 0xe76a8bef,
+    0xe68480bb, 0x7aa008dc, 0xbc13ba9b, 0x40125111, 0xd522f4cb, 0xc5d85860, 0xbddb1fa5, 0x04a94d53,
+    0xd2f1b60b, 0x0d88c001, 0xd9db2cca, 0x9e7dec28, 0xb1956e50, 0x507fe1ac, 0x4d07b47a, 0x81a16493,
+    0x8c4e7e74, 0xa1182d57, 0x7b95a8e7, 0x861e4d5a, 0xbff7c74e, 0x1a25661b, 0xa525c517, 0x1a68367b,
+    0x2b5043e3, 0x3a3f2840, 0xe773d0a0, 0x656bb99d, 0xacb95cce, 0x5da0a5bd, 0x1c643587, 0x9ebc579c,
+    0x081d9af4, 0x9ad387d7, 0x0d83ba25, 0x7f80ea7f, 0x6a6beed1, 0x0ee9e8e3, 0xc656a3bb, 0x979ccfde,
+    0x42bce715, 0xc072d5fe, 0x107e3be1, 0xe29839e4, 0x12722889, 0x0a1edc8a, 0x83eb0659, 0xea8f05ec,
+    0x9891fc1e, 0xddf9c5e9, 0x3b6cb274, 0x4cfc1936, 0x811f5213, 0xb7943447, 0x6955274a, 0xb03a8c69,
+    0x9be9a49b, 0x51f1054a, 0x69844e69, 0x495a7053, 0xc9a13ca6, 0x50185fde, 0xa9bcae8d, 0x08a3a50d,
+    0xe42ba56d, 0x068ed8f1, 0xab7f3993, 0xe7eeea49, 0x745503c9, 0x2cc610ce, 0xab000aec, 0xda367520,
+    0x8f2828ae, 0x130b043c, 0xf05dafae, 0x769f7d9b, 0x0d0e99dc, 0x5a22304a, 0x4225670a, 0xbd18b780,
+    0x089aae19, 0x15e4348c, 0x65ccafc4, 0x94ec57a6, 0x85139328, 0x70ec9f8f, 0xa2bb174e, 0xdcf88188,
+    0x813b88c6, 0x292883e2, 0x78cb6943, 0x39be3c66, 0x2cdcb90f, 0x17983a4d, 0xe4526a13, 0xa310017a,
+    0x2503b7cc, 0xb35385ad, 0x721e794d, 0x0513510e, 0xec8e08fa, 0x901e5e93, 0xe7e4328a, 0xceb19a73,
+    0x4783e96e, 0x9d08ac69, 0x977e737b, 0x666e309d, 0x1f02b783, 0xa91162ed, 0xa051b202, 0x0ecc119b,
+    0x11f877dd, 0xfd8c05f8, 0x6ae482d6, 0xebc376ba, 0x8fd036a5, 0xb13c3e52, 0x1ea53d68, 0x1eb53086,
+    0x758b4d74, 0x231d4698, 0x0f713159, 0xe5fdfd8c, 0x91d9cdfb, 0x5d2cc09f, 0x44c61751, 0xa023a5ba,
+    0xf695e543, 0x64f6329c, 0x038d6a9f, 0x23905eaa, 0xfc56ec6d, 0x16011a04, 0x727055b1, 0x97d84b2a,
+    0x9ac51e11, 0x3c4b5e7f, 0xf3bed84c, 0x9325b43b, 0x0064a0d1, 0x5e0aa29c, 0x730d1b53, 0xa6f58017,
+    0x418f3a83, 0x1af5e85d, 0x69e4ff15, 0xd55b7f10, 0x8cdd6c6e, 0x62e0a51a, 0xda900fde, 0xef944184,
+    0x23415f2b, 0x16cabf33, 0xa5078841, 0x5894132d, 0xd95c27c4, 0x6133b627, 0x2d05c046, 0xa11ea540,
+    0xf0484f22, 0x35d48262, 0xde9b6d76, 0x422abfdb, 0xb2ed0960, 0xefef5f4f, 0xda18b663, 0x736fded3,
+    0xebe90c9a, 0x4078e1e0, 0x088ecbeb, 0xb82fc3ee, 0xb4d75ba6, 0x045a9699, 0x07d4691a, 0x4c4b8d13,
+    0x5ad8c580, 0xae874847, 0xfe6377a3, 0x3de5865b, 0x15c48873, 0x2d2c1570, 0x871a183f, 0x9e33f4f7,
+    0xfb092396, 0x4ca5fbfe, 0x4fbf9ee1, 0x14014bea, 0xee87972b, 0xed1dd082, 0x5b8d672f, 0xc11319b8,
+    0x4f93ab3c, 0x4b1b3b1d, 0x1c341395, 0xd4af5c2e, 0x719f85e5, 0x7a4e565c, 0x57a2162f, 0x667a8ed4,
+    0x980f9826, 0x068b9715, 0x4cc20d4b, 0x52c0686b, 0xf8566623, 0x1b0e9c17, 0xf5ae213a, 0xa0e198e6,
+    0x879107fe, 0xc1ec086b, 0x1bd17f87, 0xa831b144, 0xc0e739fa, 0x0017f360, 0x51492b05, 0xf02483ed,
+    0x85c44256, 0xeeb3db2c, 0x8f91300b, 0xd31ca3cd, 0x8f2f5fa6, 0x506ce732, 0x0362666d, 0x6d3dc4d0,
+    0x14d9b6e1, 0xa0874628, 0xbac7169b, 0xc5d8d9d9, 0xfc29e094, 0xe6230d2a, 0x1372e3f1, 0x060e8d25,
+    0xe321fe94, 0xad3d469e, 0xb384a8bc, 0x48d8abfe, 0xd3abd910, 0x49d8f8ae, 0xd98520f7, 0x014012fe,
+    0x31dd6c92, 0x7c633796, 0x9f1d0f72, 0x5dfb2cc5, 0xbcfe6c8d, 0x3d38653e, 0xc88634bd, 0xae209c3a,
+    0x39838c13, 0xcfd05c22, 0x4bb8b079, 0x2e4c3bb8, 0x21a1630d, 0xa15426e2, 0x27f29f27, 0xf9d4ac0f,
+    0x3d79fc81, 0x0eba23e3, 0x913adf19, 0x9897cc16, 0xaa2a4a96, 0xe4d30f5f, 0xe37713f3, 0x67c14ce5,
+    0x0f760129, 0x3e9d76d6, 0x4ca1c48b, 0x1c94a363, 0xfc48a4f0, 0x3afd088f, 0x470b1780, 0xf00c5a8a,
+    0x42db5471, 0xde2f53ef, 0x6fc2d6a8, 0xca65b5af, 0xb90d0232, 0xa984c843, 0x6f319bf3, 0xf4270a8a,
+    0x560106d2, 0xa6359371, 0xd6e402a4, 0x9e416e1a, 0x719d1baa, 0x0a0ebae9, 0x83520d75, 0x94e0ddf8,
+    0xead78951, 0xecaa8427, 0xd6f20b32, 0xb8a270a8, 0xd0ac8291, 0x53f2a275, 0xc113dd75, 0x806b6111,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          7237005577332262213973186563042994240829374041602535252466099000494570602496 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6f, 0xefa30f4b,
+    0x00000000,
+    0xa5a2f739, 0xbfa06d59, 0x4bc190bd, 0x3348b5bc, 0xe341b0da, 0xfc5216f6, 0xa2b902e8, 0x53d7e6fb,
+    0xb96fb16b, 0xf3fb72af, 0xe27d2c7a, 0x589c54b4, 0xb1a57480, 0x23f129f7, 0xad65974e, 0x2322a403,
+    0x5da29569, 0xcbe1bfff, 0x28af5479, 0x5d1668d6, 0x3031fe47, 0xca3d1de9, 0xee5cea9c, 0x66fa1e92,
+    0x332fefd4, 0x76e9c418, 0x80300406, 0x8374671e, 0x074e731f, 0x4cdd04bb, 0xd06f5722, 0xeab020f8,
+    0x1d70e4c2, 0x8ee9a470, 0x646bf196, 0x7e36fd39, 0x4a8882ca, 0x5fb163fc, 0x504bf45b, 0x2c76269d,
+    0x95faefb3, 0x299df4a2, 0x5ea59f31, 0xcea2225f, 0x19a535b6, 0xe8ebff6d, 0xf43c731b, 0x02ba7957,
+    0xc43ef609, 0xfb634b13, 0x81449e2c, 0xeb9b8d70, 0xb5f96e15, 0x251f0d86, 0x3fe5439f, 0xb4279c5a,
+    0x35c19ce0, 0x6b3516fe, 0x8da0a300, 0xa4b7c7c7, 0xc4c2a842, 0x9a63550b, 0x5890bb2d, 0x06484fe1,
+    0xd5a3a129, 0x5657c1cc, 0x97a6750e, 0x5e2153f3, 0xde51bc1a, 0x05576154, 0x82c9cdd1, 0x5bec5196,
+    0xbee921fe, 0x1273bb4d, 0x285b593b, 0x87e6a5a9, 0xef2cafc6, 0x5ada8f06, 0x44cae849, 0xc4d17ef7,
+    0x1025c9ea, 0xcd66d8a0, 0x6b37efda, 0x53897709, 0x5d4514c6, 0x9e6425a8, 0x621d9ec4, 0x85535730,
+    0xbff4bf9c, 0x337670ef, 0xe3d537e5, 0xe0f58259, 0xea08a7fc, 0xa7e82323, 0x357403b4, 0x0af39ee1,
+    0x3ca8a016, 0xfdf23f3a, 0xf08ec735, 0x666d450b, 0x87940af1, 0xe359b10b, 0xa3932f71, 0xbf6007c7,
+    0x139beae8, 0x6f41d086, 0x587fc909, 0xffc265b1, 0xe547707c, 0x1039b0d5, 0xac58ec34, 0xdc6754e2,
+    0x9659d765, 0x722a03dd, 0x2d841704, 0xb06521e2, 0x3f383079, 0xfddd1e8c, 0x93fff0cd, 0x711f957b,
+    0x599dc794, 0x6c8bc73d, 0xd018699b, 0x3472f623, 0x8b9d8ede, 0x007f42bf, 0xdf515d84, 0xc2eece63,
+    0xc10d94bf, 0x17111748, 0xe8f69f4d, 0x630f1453, 0x6af57d41, 0x5fcf3c11, 0x63641db4, 0x570d6332,
+    0x866bc41f, 0xbfcd28e7, 0x1df2861a, 0xfd7eb5aa, 0xb2ce5c9d, 0xd7ead236, 0x4acbecce, 0xae19dfee,
+    0x85707e50, 0x816db729, 0x12520afd, 0x41b7b99b, 0xbbcf5173, 0xdb418012, 0x9196c73b, 0x3d3bd7fd,
+    0x72fe29a2, 0x0c02042f, 0x4aa6eedd, 0xa4ec6d45, 0x95af9057, 0x40459710, 0xda826c8d, 0x40e0b0f0,
+    0x3682afb1, 0x4a15dda9, 0x24f1b9f8, 0x70641177, 0xa01080f6, 0xf176e79f, 0x56be294f, 0x8c793672,
+    0x9a65066f, 0x77115c57, 0x41fca285, 0x0540b419, 0xac48c178, 0x95a3d5fd, 0x3962df23, 0xb45a9505,
+    0x8f568840, 0x83ff7610, 0x83498d17, 0x2e62d251, 0x723b7b89, 0x20f34865, 0x020790cf, 0xa7a9ac28,
+    0x3fb9985f, 0xa1715f3f, 0x9a9cac4e, 0x8fd26270, 0x832e5b40, 0xad71bcf8, 0x39a8337d, 0x3e232b7a,
+    0x3664b677, 0xf6f8a966, 0xbc32cfab, 0x335c6a40, 0x5fc09c5f, 0xa1eb46c2, 0x8cd13a2e, 0x52ce6db7,
+    0x6dd799f8, 0x30a7ef50, 0x31b2a133, 0x552cc15d, 0x8494ac72, 0x30b40932, 0x221e0e18, 0xff619a26,
+    0x5ceca2ab, 0x59fcb603, 0x66c3cd6b, 0x713a9bfc, 0x9bd1928b, 0x8c2115d8, 0xe68dbc2d, 0x77e90f52,
+    0x4baa1663, 0x9204fb00, 0x5cabc485, 0x6bf2f18c, 0x4298490d, 0xb1f806b0, 0x96fd6d96, 0xe2b3e065,
+    0x6f825fb1, 0x5d80b882, 0xf7de7165, 0xd23baf72, 0xebba718a, 0xd62728a7, 0x5bb61b19, 0x9d3e39d9,
+    0x21fc4477, 0x7f802ada, 0x7782b82e, 0x4c197923, 0xf6d2be4d, 0x7ba28b3d, 0xba3735e4, 0x92b621d1,
+    0x70815f93, 0x5d2028ac, 0x89e1acb9, 0xe1760526, 0x9b271987, 0xe30c692f, 0xc103f25a, 0x644d72f0,
+    0xcc02b5b5, 0x531a82aa, 0xbbf26fb0, 0xed55db33, 0x5805e046, 0x898a35b2, 0x7a1e6513, 0xd79fa32d,
+    0x48ba38a8, 0x2f3cbec9, 0xa719a8a9, 0x9eee6781, 0x53848a50, 0xe21d5584, 0xe0e1ceca, 0x05da9ac3,
+    0x81b79c23, 0x5d3bc1e1, 0x38425c76, 0x0b43a97f, 0x6a7937ca, 0xc2e92df0, 0x75635a20, 0x0151c4c5,
+    0x9e3205db, 0xb555f7f2, 0x0b010d40, 0xcf3bec52, 0x481df3ec, 0x005370c6, 0xffd18e58, 0x40086384,
+    0xe5dc9e05, 0x3c27ee5a, 0x4ef29bbf, 0x7a431f59, 0x3c48236b, 0xc95fe070, 0x696ed768, 0x74074411,
+    0xe653e6a1, 0x77782c7c, 0x8dadc0f6, 0xa8091da1, 0xedaba96a, 0x76ebf5d7, 0x0db1cb6b, 0x362ac0dd,
+    0x2d4f60ac, 0x2d86a972, 0x3672e36d, 0xdb5b8fb2, 0xc1d3f047, 0x2c6b44fe, 0x576f69be, 0xab4f175f,
+    0x55b234f3, 0x162b715e, 0xb4b8d2cd, 0xec772b1f, 0xfa4cba3d, 0x15fea8d7, 0x43365c4c, 0xc99fa870,
+    0x07d8a077, 0xe47f4622, 0xe915212f, 0xe9746956, 0x91ed3bb6, 0x78ab5074, 0xa7e89a3e, 0x3ec50952,
+    0x357f1a7c, 0xc49ace47, 0xb46d8fc5, 0x8f3fd067, 0xd95b9fb9, 0xed3d1a7d, 0xedbad1f5, 0x6f65ff78,
+    0x5f245208, 0x321b24c9, 0x440ecf80, 0x20f20c02, 0xf81c9d0e, 0xc113a10b, 0x94e9fa1e, 0x90914f5e,
+    0x1491b002, 0xd56e3a3d, 0xed9a89bb, 0x95f0e187, 0x1964ad49, 0xf5ba03a9, 0xb316e565, 0xe98e8c80,
+    0x86a9e414, 0x1acb2818, 0xd3df35eb, 0xc8875566, 0x97698b79, 0x2ae0f7d2, 0x862d6f59, 0xfa9d2c2d,
+    0xbfe84992, 0x448c3e7d, 0x0eb2c4d8, 0x993a4e65, 0x026529d3, 0x5679d2ca, 0x7986e685, 0xc8c8ca75,
+    0x3be47d16, 0x00def98e, 0x64452735, 0x37a4dd7f, 0xe32a85a0, 0xfb8524f3, 0x003cea04, 0xd2c236f0,
+    0x6ff8a344, 0x6dfbe919, 0x4f943228, 0x5a92de0b, 0xec3a22ec, 0x35ef47ea, 0x4edb2404, 0x8dfc2409,
+    0x20e230e8, 0x4e6618b3, 0x82c40218, 0xd2cc8af6, 0x0b4a20e5, 0xbdd143fa, 0x27e53285, 0x6c9bb792,
+    0xb4014a65, 0x066ff78d, 0x29164c93, 0x15a87b74, 0x0472e8ce, 0x32e1e053, 0xfcac5c9a, 0xfd6cedc1,
+    0x93c8c0f0, 0x6361a40c, 0xb0af6229, 0x0181e3b1, 0x48064af0, 0x3bf19154, 0x35883441, 0xf813db38,
+    0x7c16acc2, 0x6dc65679, 0xb2f56b7e, 0xe749f70a, 0x6ff3ae64, 0xe158bcda, 0x83889419, 0xc9d35719,
+    0x4bc82f0e, 0x786a0efc, 0x5d8af13a, 0xa1b9b755, 0x5c175c77, 0x92d7008b, 0xd11c7483, 0xbf0e3185,
+    0x79da5495, 0xac4fcf04, 0x0e82eeb4, 0x9a0d43dd, 0x41716c92, 0xf2bcd20b, 0xf6ff19ad, 0x388ab0bb,
+    0x354d6b0c, 0x5cd7cdcd, 0xe7fbfe60, 0x2ae91d8e, 0xb2c97d54, 0x9084a6e0, 0x9ccfed95, 0xdb29410f,
+    0x3b87460b, 0xf5905da3, 0xd90a4a10, 0x0b6e1e6c, 0x7080ef69, 0xbdf3d977, 0x0cf5f1a2, 0xab74851d,
+    0x1008a28f, 0xdf9c1709, 0xf9cdf501, 0xf2e55e52, 0xe0c663c4, 0x7c1d0a80, 0x0240053a, 0xe1ce28a9,
+    0x99ae218f, 0xbcab0233, 0x0280e570, 0xb6822118, 0x038bf52a, 0xd8edac78, 0x781bc198, 0xefc22a83,
+    0x0bede205, 0x2ab59ca3, 0x44355510, 0x26daa11a, 0xdbbd6c93, 0xb534d41f, 0x9599cfb7, 0x8d874580,
+    0x6eec4523, 0x99562a21, 0x9b89fe47, 0x2af23cb9, 0x123af081, 0x3968453f, 0xadcb0c00, 0x79b28425,
+    0x018f64f7, 0x773009c1, 0x959f7287, 0xc6db26b6, 0xa1d80a82, 0x674c53e0, 0x7f86c0b7, 0xf0786877,
+    0xe046ef74, 0x3398cdc6, 0x083cb215, 0x36881e6c, 0x65e5bd0d, 0x6ef5950d, 0xfe73a45e, 0x374251d9,
+    0x5fbf3c9d, 0x1c0a0fd2, 0x702541df, 0x87fe0c55, 0xa838e36a, 0xfbd394d7, 0xc9a2ea26, 0x41738983,
+    0xa39a3e85, 0xd1fca343, 0x2296147b, 0xce0dbf1d, 0xfcd0e7de, 0xd0adca68, 0x921199e5, 0x72f22612,
+    0xf083ebcf, 0xccd27fb6, 0xb1386264, 0x1b685f2a, 0x3d13f5ac, 0x6f0f080a, 0x341573c9, 0x0d17ee2e,
+    0x837ec93c, 0xf9bc68fa, 0x3649ba63, 0xe837a550, 0x3bc4d48b, 0x62e8716b, 0x8e4b79b4, 0xa60505f9,
+    0x8658f77d, 0x3633d949, 0xe54e6cec, 0x7c2a66b7, 0x105098ba, 0x823eccb4, 0x218d02bf, 0xdf3de3ab,
+    0xc43f377b, 0xdfcf1ada, 0xec6edacf, 0xdcf39d42, 0x2b53737c, 0xb37ea5f0, 0xcfc7a090, 0xfe1d18d1,
+    0x5b0dac23, 0x96613686, 0x96e0275d, 0x91525edc, 0x7dc092d1, 0x3fb565d8, 0x787cca9a, 0x514deb76,
+    0x5b871871, 0x8a60eeaa, 0x26c8cade, 0x972950d8, 0xe292faa8, 0x71751820, 0xd217b60d, 0x28f4cf65,
+    0xe3fcca51, 0xe1f12300, 0xd08d3642, 0x314b9407, 0xba7d8f68, 0xceeb17e9, 0xd167e6aa, 0xca225bf9,
+    0x53bb1d2d, 0x872ecdf4, 0x28c500ec, 0xcc45609b, 0xbc8a5f74, 0xf849fb7c, 0xa92313a0, 0x36aaa647,
+    0x1e952672, 0xb729de03, 0xfc692b63, 0x89c2d6b1, 0xff16343e, 0xb8c97d7e, 0x159a1d0b, 0x18fa9465,
+    0xc343c935, 0x44c0c1c4, 0xdcee3b92, 0x54269fa9, 0xac6fccc8, 0x7827b5aa, 0xfa0694a9, 0x181cbda8,
+    0x5d01402f, 0xe32af63d, 0x073f76b8, 0x42f8811c, 0xa00d1edf, 0xcda150b4, 0x30e7a9d4, 0x33a62bfc,
+    0x17599ca1, 0x8f364d1a, 0xd83030d4, 0x904b1907, 0xfd148280, 0x506bb6f4, 0xd599e15c, 0x975363df,
+    0x1cb1a4fe, 0x7e334acf, 0x36280531, 0xc330d77a, 0x29a59520, 0xc110452d, 0xa5b62426, 0x27e8c205,
+    0x72b99441, 0xf1c3dbe5, 0x27104133, 0x09a94c3f, 0x5ab6cf9b, 0xef25bf0c, 0x278ac488, 0xf2605d00,
+    0x08df8a98, 0xc803058d, 0x8f6a9077, 0x4acec14f, 0xa0d46d88, 0xcafa5885, 0xdfe647db, 0x8a58208c,
+    0x25c81376, 0x8d9f0b6f, 0xc920f0b9, 0xd15adf80, 0x399f4af0, 0x4def4c5b, 0x05a51b26, 0x0a6de7ac,
+    0x010a979c, 0x11830739, 0x596e15c4, 0x9b4af69e, 0xe2d209ec, 0xfb1b9437, 0x3435e248, 0xb82c43e2,
+    0x0d46f6f5, 0xe467d509, 0x225bb1ca, 0xaab5cf82, 0x9b7959d8, 0xe41a1ed4, 0x86f71e1f, 0xc460e143,
+    0xc15db59f, 0xc098bffe, 0xf4d17547, 0x4f0fd051, 0xe9dc342e, 0x711b0145, 0x8f331dd4, 0x6918f724,
+    0xfa1449f3, 0xe4667ef5, 0x2ce985de, 0x60763f59, 0x3520ebcd, 0x0af6cd4c, 0xc2b6b2a6, 0x9d65efc6,
+    0x9c45c2e5, 0x09c212a7, 0xd60cb995, 0xe608f2c3, 0x127a916d, 0x1dd65a13, 0xd6dabd59, 0x2d159475,
+    0x5c83cb77, 0xf27b4e94, 0x5dd93752, 0xb282f7f4, 0xeead8fed, 0x835640ed, 0x39eef8cc, 0x0ed63731,
+    0xf6f2b86e, 0x1ecc22f4, 0x758954d9, 0xde473efe, 0x7e27bb5e, 0x67274c5b, 0x299f4b71, 0x921cd041,
+    0x693fe297, 0x657f7d7e, 0xe02ff3f0, 0x7a998d3a, 0x662e6e13, 0x10036a20, 0xffa1ff18, 0xaba11a76,
+    0xf5ec4a60, 0xf19d461a, 0x8cf61575, 0x8a0de8e6, 0xdcd8e9d7, 0x09da997e, 0x96f1fd59, 0xb61d23e7,
+    0x2b771bcf, 0xc8acfbff, 0xde12754d, 0x9c284909, 0xab53255f, 0xee4195f2, 0x76b99ac6, 0xee706de0,
+    0x36ebafd7, 0x78e9c8f1, 0x6366182b, 0xb1e7cffc, 0x62c4ab67, 0xee86e0d3, 0x92afaaf1, 0x844ef3c7,
+    0x469aeb8f, 0xd94fe5ea, 0xf711b050, 0x3a51e654, 0x2148fa7a, 0xb92848c9, 0x7d0e05b0, 0x4f2ee38e,
+    0xa55d3811, 0x5f506f59, 0xb35d811f, 0x13d8f2ff, 0xbdda391f, 0x0f710111, 0xee1959aa, 0xb449580d,
+    0x439a2f1a, 0x916df07e, 0x695e66c5, 0x6451172a, 0x90039794, 0x8cbd1d02, 0xc6147bb3, 0x77b21aab,
+    0x3fb0a27d, 0x4f000f75, 0x0924adcf, 0xa97c77c9, 0x7e410de8, 0x2a27dcb3, 0x9aa3ed22, 0xe3e3040a,
+    0xc226d3e7, 0x3e68e9d3, 0x27f587b1, 0x30d007ae, 0xe82da416, 0x64ea5c43, 0xfb13d353, 0x74097207,
+    0x1241b3ad, 0x827ac402, 0xc30559d6, 0x1430a3ba, 0xdb1ae72d, 0x119d0161, 0xba6966f3, 0x568a6e2c,
+    0xda4311f9, 0x359b9c26, 0xfea0d82a, 0x1889507a, 0x99e98a97, 0x7a4373dd, 0x76f38699, 0x0f19331b,
+    0x02c2855e, 0xf2d50959, 0x68c33419, 0xfd55e271, 0xf1d2a1f8, 0x25ddb2f6, 0xbf67116d, 0x0bd72f84,
+    0xff7bd4db, 0xcb61a35d, 0xb6f7b51c, 0x8cf23d86, 0x995d3081, 0xcff0a25e, 0x428cc3f9, 0x835ef47c,
+    0x26e4171d, 0x37c31e19, 0xe801a911, 0x897e20fa, 0xbd777722, 0x54e53abc, 0x2bd794f8, 0x77e501b8,
+    0x6a42f770, 0x1bd3f678, 0xe0d036d4, 0xdc3fed70, 0x941e3d9c, 0x2fbc739e, 0xb483a337, 0x315aadc8,
+    0x344869f1, 0xa34f66bb, 0xf38e94e8, 0x17a55074, 0xe9c3e4f9, 0x24fc0481, 0xb82f694a, 0x57f7951f,
+    0x14ff0efe, 0x51caa886, 0xae1ab813, 0xf7b201e7, 0xeacaee77, 0xe3d1ae0b, 0x0b9a9422, 0xb06cfc83,
+    0x9aeca4a0, 0x2b8495e7, 0x2dab4a5a, 0x50625e9f, 0x421d2151, 0x70b5a326, 0x9511bf42, 0xc85139cb,
+    0x570d611a, 0x2d41d0f9, 0x4c595d79, 0xc0c9e8c9, 0xc0c265cf, 0x11a105c2, 0x6a1c9b4c, 0x751f0724,
+    0x5f62878d, 0x4fe6ce3f, 0x0d789cfc, 0xa196a1b7, 0x375d37aa, 0x06edb79e, 0xa648a216, 0x6129aa18,
+    0xf4c32865, 0x2cd8d09d, 0x71509ae8, 0xe8782813, 0xa2f7af5b, 0xf9e04724, 0x2b182ee8, 0x23778625,
+    0x117faea7, 0x4d825757, 0x5d1b49b5, 0xfb1b887a, 0x4a171b92, 0x56817513, 0x2ce54e22, 0x93f1ece8,
+    0xda4d2aaf, 0xa5ec39c0, 0x38c5ce90, 0xa787699e, 0xf0a3c93e, 0xffa0dbe7, 0x22d9ba56, 0xc4ff1a3a,
+    0xc521248b, 0x6ebbc169, 0x8752b3c4, 0x0b9e982e, 0x0557071e, 0x3233960d, 0x93e60985, 0x0f77f2c0,
+    0x475de87e, 0x6a10329d, 0x697bc906, 0xc08a9bf0, 0x4ec5e904, 0x319f9310, 0x08295ffb, 0x9664b9a5,
+    0x02c5cef2, 0x3bdf9a8d, 0x0a89f591, 0x3c6b6d57, 0xe3c5e276, 0x94786016, 0x75cb0b5f, 0x273941c4,
+    0x5b457aa5, 0x4108df7b, 0xfdea2839, 0xc96d6897, 0x276f3799, 0x9b47e0a2, 0x3e7ea0c2, 0x2c86b349,
+    0xfc4f167f, 0x5c1e31be, 0x8f18db8f, 0x5f9bdf89, 0x842e1aed, 0x327d0576, 0x380b6797, 0xc669def3,
+    0xa9fd297d, 0x1001a1d1, 0x3f123234, 0x8728c579, 0x66c9e4c1, 0x9def6efd, 0x99c98153, 0x657386bc,
+    0xaab4af88, 0x36d4c0ea, 0x85848447, 0x7712fc08, 0x43303eb3, 0x0cb636ef, 0x5829b8a7, 0xdf3c0f6f,
+    0x96d66da9, 0x0c0f16c5, 0xe3501cb8, 0x2b591c8e, 0x5fb9f736, 0xed50f47c, 0x2f41f854, 0x56c74d3a,
+    0xb50fc39b, 0xe5fc3b42, 0x5896d960, 0x788ac5a2, 0x1e92cad3, 0xdb5054c2, 0x7b0a306c, 0xfefe4f21,
+    0xd1e18320, 0x79307a76, 0x8261a3a9, 0x794ea55c, 0x9ec75d63, 0x51522b25, 0x2b22db92, 0xcf159234,
+    0xb8dcc560, 0x6e86bbae, 0x0566aad1, 0x0f74818f, 0x90d03f67, 0x874d3256, 0x466510d4, 0x334d5153,
+    0x94754820, 0x00b296c3, 0x5ecda50e, 0x30e22bea, 0x0c74db74, 0xda9042c5, 0x8191c37c, 0xfe5b625a,
+    0x1d58e164, 0x377ffb7e, 0x3fe6a888, 0xd4f0fc6f, 0xcd094c6d, 0xe86c6a61, 0xdb709948, 0x9ff3e82c,
+    0xe0bda1cf, 0x59931267, 0xa576b9a7, 0x1bb424a4, 0x562e544f, 0xfa4cbb0e, 0x5c36f046, 0x199eb94c,
+    0x84e9e17a, 0xec260d0d, 0x0a4b09e0, 0xbcbf7f3f, 0x5942ae1d, 0x9e8d75fd, 0xbbfc7538, 0x5ce4721b,
+    0xe4ba987c, 0x9e4de81c, 0x2f361b7f, 0x52bb86ff, 0x33dbf186, 0x93c6c5e0, 0xe4748af1, 0x743a7fa9,
+    0x9062e916, 0x930955ec, 0x9a2af263, 0x986d28d3, 0x2b647ed8, 0xda81a39a, 0xc014840a, 0x5fc1dd82,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          3618502788666131106986593281521497120414687020801267626233049500247285301248 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49537, 0xf7d187a5,
+    0x00000000,
+    0x919b7759, 0x46ad77da, 0xf12ad83c, 0x484d74ce, 0x98889c10, 0x22475577, 0x4c8c6391, 0xbd719c79,
+    0xf75cb1bf, 0x2d4711e6, 0x59523100, 0xe251b1e9, 0x635ba711, 0x9787677d, 0x7983cf5f, 0xb6ed5827,
+    0x11df63d4, 0xa7ba5152, 0xe82b78fe, 0x76059fa3, 0x53c683ed, 0x9c77a526, 0xdae80fd3, 0x9dee6d5f,
+    0x0438f685, 0xf7741e08, 0xe9e37c14, 0xebc6eaa7, 0x52735036, 0x3cf18b39, 0x8737222f, 0x2468ef1a,
+    0x465912eb, 0xec149b01, 0x9baf49f4, 0xc4f5c351, 0x545bd7b5, 0x0a7e03f0, 0x24e44ef5, 0xe31eba08,
+    0x8682357c, 0xff455c68, 0xc546a4ae, 0x9fbfc613, 0x6b1280a7, 0xec6d6260, 0x01e61879, 0x703590a3,
+    0x703feb31, 0x86da54ec, 0xee40e669, 0x7ee45d84, 0xb7ee38cb, 0xd60e5e0e, 0x5007e8dd, 0x165e078a,
+    0x97ff4e57, 0xb5f64d53, 0x2e70ffa3, 0xb503ae07, 0xb7df5699, 0xe3c5648c, 0x15f90102, 0x942fce79,
+    0x2d148ae0, 0x50e8db35, 0x7115fe5d, 0x37dac8d3, 0x8f064f36, 0xb438928f, 0xe94487bf, 0x334fb590,
+    0xe20bcf53, 0x94d7617d, 0xed2d08b6, 0x799f3269, 0x36a111c4, 0x0c39ed6c, 0x6aaf7191, 0x15c847d6,
+    0xd257e2f9, 0xaa57c013, 0xb59fb264, 0x697b521f, 0xfcea8ab7, 0x1deb4100, 0xa5d1d468, 0x0c0fd66f,
+    0x1355e47b, 0xac4c262b, 0x96d00c5f, 0x633ff998, 0x2a45c9d8, 0x55d6709f, 0x1322c8bf, 0xc8195ac6,
+    0xf064dbe1, 0xee2eaaf4, 0x014446ff, 0xabfd21a5, 0x403b39b2, 0x1312e4aa, 0x9cedc752, 0x51dd3cc0,
+    0x681e0060, 0x583f66d5, 0x324e167e, 0x535fb318, 0xd3d402ed, 0xf460bac3, 0xf7b62c09, 0x0c965c11,
+    0xeef6bdae, 0x48728bd2, 0x96013afc, 0xc1ee2aad, 0x63737574, 0x69ccfed6, 0x00d11b71, 0x1151d556,
+    0x01223d5a, 0x9bc1c9e7, 0x6be636f6, 0xf4dee2a4, 0x8f0ddbba, 0xb2d3845e, 0xce969442, 0x56e73199,
+    0xc6877ddf, 0xfcd1d177, 0x2661e0ff, 0x64f5d545, 0x231e31f1, 0x3fd8011d, 0x69c1a68e, 0x5be1340d,
+    0x2752ab53, 0x7f97efb1, 0x4d8b8bd0, 0x5e9d3605, 0x237d7b0b, 0xa89d24f4, 0x69c5d77e, 0xa309a115,
+    0x6e000efd, 0x47d95b7a, 0xcc3de97f, 0xfaf110fc, 0x5014a95a, 0xf0d79def, 0x55add445, 0x9fcd0919,
+    0xa6189df1, 0xa7fd5d2d, 0x5a9cb4f2, 0xa0c34a00, 0x182416a4, 0x1f9242ed, 0x3ab82531, 0xddce1b73,
+    0x136d0f03, 0xdd03e97f, 0x6f9668da, 0x540cbf87, 0xf69a0510, 0xdac3ec3c, 0xb0832d55, 0xac50e1a1,
+    0x4d17d3cd, 0x0fd136a4, 0x56ce4121, 0x8791983a, 0xfea73519, 0x7afc40ed, 0xeb6348a1, 0xdbb12c29,
+    0x17ddce1e, 0x77d70247, 0xc689a3da, 0xef2cda8f, 0xbda080c8, 0x37d86208, 0x3d2edbf2, 0xd10324e0,
+    0x03f7e86b, 0xca79fba1, 0xe3da755f, 0x7f9bb906, 0x08ecb164, 0x61cdc9ca, 0xd8c5d5ba, 0x62f5b3dc,
+    0xa4f8c722, 0x09546714, 0x66ee30c3, 0xa7cb506e, 0x42d0f865, 0xf17e8dc4, 0x184f3628, 0xe833cd08,
+    0xec255a96, 0xeebda965, 0xfb439de4, 0x2d3f6095, 0xe7a090a6, 0x06e18529, 0x1aca3a70, 0x8282878d,
+    0xfaf0fdc6, 0xcfdfaccf, 0xa066f8f2, 0x2402c51c, 0xf8eca478, 0x02dfb8b4, 0x8cd8001d, 0xb9b89bdc,
+    0xa84ec4d4, 0x0f198353, 0x825559e2, 0x1bcfe6cb, 0x7e4b53de, 0x217c4603, 0xca48be86, 0x8e0c251b,
+    0x5e53fc59, 0xd48c07f4, 0x95d67d74, 0xa034e0c8, 0x10bcd9e7, 0xb0c6d3e9, 0xce7abc0f, 0xd9268ec0,
+    0x2bf02ad5, 0x7afa210e, 0x7e023af1, 0x6b44301e, 0xa02519df, 0xf7adbf3c, 0x1181f0e5, 0x6734f7df,
+    0x7d427fbb, 0x10488253, 0x009e4b77, 0x6eeac829, 0x4bfaf5e2, 0x30997131, 0x72c7298f, 0xaee20b2b,
+    0xfea9bb79, 0x83e5b7a8, 0x9461d2f1, 0x6d66c93c, 0x8ac3794b, 0xfad3310e, 0x866b3771, 0x06b5136d,
+    0xda5ce58b, 0x5736d9f2, 0x323622af, 0xb444572d, 0x29ab2fda, 0x2d8955af, 0x34add708, 0x0f13ce6c,
+    0x42a1de89, 0x924c9910, 0x4fa353f1, 0x21656f17, 0x009af15d, 0x68bfd769, 0xf861f725, 0x7d47510a,
+    0x6f4fb756, 0x50c9b7f6, 0xfe21ddd0, 0x000ac8de, 0xd86773f8, 0xf28a93d1, 0x547b8ad8, 0x1d5fef2e,
+    0x51b064c0, 0xe84d19b4, 0xfa7deb27, 0xc9285867, 0x9572f375, 0x3744ef48, 0xb7ef6380, 0x83f2c8a6,
+    0xa8d444b3, 0x663c3363, 0x2ed1216d, 0x5bfdf644, 0x10ca1ef1, 0xb8930ce2, 0x731a093e, 0xb23e45a0,
+    0xf0888486, 0x7411fb23, 0x12aa6cc2, 0xee544303, 0x5acdf6c6, 0x2179984f, 0x8f96eae8, 0x8a1329fe,
+    0x01c28b15, 0xcbcfc805, 0x829c1d17, 0x52369229, 0x3c40d641, 0x9ef42bac, 0x37069b73, 0x4dc3c7a0,
+    0x001b3fde, 0x325b24d3, 0x91e5daeb, 0x8723dcbc, 0x0e906e8d, 0x860cff57, 0x43fa2b3e, 0x0eae8c98,
+    0x8dbe74f6, 0x59380075, 0x536986e3, 0x8991bf2e, 0x7d2103dc, 0x52a9ee57, 0x96e84589, 0x474f776c,
+    0x39fd8a53, 0x6fe58adf, 0xaba6e2cc, 0xb905af73, 0x6c0d3940, 0x4fcdb9c5, 0xaf528ffe, 0x4c9ce010,
+    0x62ba9adb, 0x6f4006e9, 0x3198929e, 0xd6231bd5, 0x7c3fde1c, 0x38b66515, 0x39f41592, 0x078c0572,
+    0x63e642e1, 0x22bd41a6, 0xc4f65f1b, 0x934dfb9f, 0x802529bc, 0x2616ada0, 0xde1bac2f, 0xa3340f18,
+    0x0e942be5, 0x9e749256, 0xac8f81ea, 0x9dda9722, 0xabdb27dd, 0xf645d2be, 0x54d7beec, 0x9acf2158,
+    0x11fdc840, 0x1a8dd082, 0xf97eff5a, 0xec95842e, 0x393ff252, 0xc63c12d0, 0xd8ad2633, 0xcc433321,
+    0x705700d7, 0xa4270ea3, 0x7454fb4f, 0x218fc2be, 0x8bfc17a9, 0x9775b867, 0x579256af, 0x7c3ab7a6,
+    0x20ed7954, 0x7445691b, 0x730647ea, 0x3e3aa471, 0x3f103080, 0x8c5d2422, 0x4094e4cd, 0x059f7417,
+    0x89f6f4c9, 0xe4738ac9, 0x18a3e841, 0xef723786, 0x2db891fc, 0xc2e98443, 0xe1e6b9f3, 0x565c3888,
+    0x3f354c39, 0x3ea31994, 0x9ae93921, 0x67d55ab8, 0x9212452c, 0x7677d842, 0xcb80e029, 0x62e35e9d,
+    0xd634eea8, 0xc6f792f2, 0x122aa342, 0x485ba7ae, 0x351269cb, 0x5f826e42, 0x77ce9b54, 0x7727c859,
+    0xc0fc4a6a, 0xc3814e28, 0x1b70d5f4, 0xdabeffd7, 0xdbd08b0b, 0x95b2e559, 0xb201121b, 0x3a474ea7,
+    0x85fdcb04, 0xa7817527, 0x08529742, 0x469b3255, 0x3b845a3a, 0x5a5cc2f9, 0xebdfc5f8, 0x88fb67ea,
+    0x43c73887, 0x120c3f5a, 0x52cad63b, 0xd89cc9e9, 0x8bd68069, 0x620a44c1, 0xd0d0f9a0, 0xd274f6aa,
+    0x452df2a4, 0xe9c4e96f, 0x33180196, 0x8356f831, 0x54d0ffa0, 0x537a4f6f, 0xf8c4ce12, 0x0c98b870,
+    0x014b1cc9, 0xbfc0aa82, 0xf1b65b95, 0xe97eb6bd, 0xc505cde8, 0xcf62b50f, 0x0da02cfa, 0x81d64900,
+    0xd8549e1c, 0x702ae115, 0x25f1761c, 0x1856f71d, 0x64426377, 0x06684f1f, 0x3d387e88, 0x39fbb68c,
+    0xe02278a3, 0x4831fbab, 0xedcc838e, 0x6dfb3074, 0x278f11f3, 0x8a041610, 0x667897b2, 0xad0c46ba,
+    0xb02d0f8c, 0x443b9ae0, 0x80ab9f65, 0xe617e508, 0x90eaa897, 0x8216a3dc, 0xccb8baec, 0x993cee73,
+    0x269b2efa, 0x6b687853, 0xcc4f4fc3, 0xc727bd55, 0x87829df8, 0xf253274c, 0xee960598, 0x3aaa8b13,
+    0x0567093b, 0xb9b3c79f, 0x961e890f, 0xf010e77e, 0x9b4201e4, 0x3d837c2b, 0x4e0651ea, 0x9c155e2a,
+    0xe695f83d, 0x85d8d09f, 0x1d8314fe, 0x3db447a5, 0xf9eb04c9, 0x6a059558, 0xe39cccc4, 0xf5d16c7a,
+    0x5950b5da, 0x0afaac0c, 0x41c7c5e7, 0xa50191c6, 0x5eb02912, 0x01f4a924, 0xa2bac6d0, 0x0b609642,
+    0xc9f464d1, 0x212f3356, 0x8509dca1, 0x198d3dad, 0x1447e04d, 0xb253ec22, 0x7a3ce1c9, 0xa1cd49d9,
+    0x626e534a, 0xcf6665a5, 0xba614061, 0x1b0f6c46, 0xc5d10727, 0x2b46c6c0, 0x21b48c27, 0x5072c52a,
+    0xa49d1fda, 0x8536537b, 0x0537ea77, 0xf81a495b, 0x56b9616c, 0x95a72dd5, 0x4a64328d, 0x5715b985,
+    0xffcc9556, 0xdbb200a6, 0x2606f24e, 0x92c5dce2, 0x9412787f, 0xace6fb42, 0xb29f7772, 0xad29226c,
+    0x7f8276dc, 0xac1fe7e3, 0xf7dce729, 0x95a190e3, 0x2667fa11, 0xee1f52de, 0x4536511b, 0xeb0cd614,
+    0x8f2cb2a9, 0x1890d13e, 0x0d3f230b, 0xb676f111, 0x52d43adb, 0xc64af6bb, 0x7813407a, 0xa2dd17fc,
+    0xe2e09ee5, 0x89a937c7, 0xf60aac47, 0xa158aae2, 0xebf502d1, 0xe3b9d140, 0xe0dea10b, 0xfcd8ff0b,
+    0x85708513, 0x43100118, 0x10356191, 0x91682127, 0x43d6fa4a, 0xd5792dd3, 0x2bab446e, 0xe74c4f69,
+    0x8ddd9785, 0x14084a94, 0x7f044913, 0xf6b07880, 0x78d0aa38, 0x1eb52b2d, 0x748fbaec, 0xd3d18896,
+    0x0f7a59fb, 0xfa7fd2ab, 0xae057c0f, 0xc1b815b2, 0x231d6b62, 0x85466e46, 0x250c3e4a, 0x95538958,
+    0x7c80c393, 0x847f043c, 0x72782e86, 0x007a3b98, 0xd968a565, 0xfa521923, 0x00c4bddd, 0xef57fcd7,
+    0x2c28ef3b, 0xc2875fdf, 0x65918c4e, 0xd0c88c52, 0xf19b1587, 0xaf168cdd, 0x08d89936, 0xd0e261f1,
+    0xda2128da, 0x483607b6, 0x3cbc952f, 0x00016a3b, 0xc00966a2, 0x8b278b21, 0x92d765e1, 0x31d87fc4,
+    0x893a32ce, 0xd93ce624, 0x154049ca, 0x9a0d8c18, 0x52cbb79b, 0xa74d7dc7, 0xa0711a1e, 0xeb27d65b,
+    0x3ad21f66, 0x01e3b645, 0xa616962f, 0x87fc5491, 0x0aee4824, 0x468070d4, 0xd34f821f, 0x4c581499,
+    0x3079b66e, 0x713a05bd, 0xa49ddacb, 0xf72053db, 0xe278c19a, 0x71920d89, 0xa413666c, 0xe9f7fd3d,
+    0x23da66dd, 0xe506c2a2, 0xc7c3922c, 0xbe786140, 0x0a94c6cb, 0xf2d4a23a, 0xea363612, 0x7faae1f6,
+    0x765c5ca0, 0x8927a9d2, 0x11588989, 0x881b311f, 0x370d91e7, 0xec752ee3, 0x0ad5a0cb, 0x568b691b,
+    0x50d60890, 0x1a26f2d4, 0x143c35c1, 0x77117f56, 0x93d5ff13, 0xd36e77f0, 0x9b7c7cc9, 0x99aba978,
+    0xcf638c67, 0xcada8b00, 0xe2c1d257, 0x1ecbe086, 0x21ef295f, 0xc0c3dd9c, 0x47d8a77b, 0x93a1ca59,
+    0x80b7a3bc, 0x028c2441, 0xc265aee5, 0xc3fe67d4, 0x9c4cbcf7, 0x768c025b, 0x33d9718c, 0x1fcc1b61,
+    0x4e6aeafa, 0xbf5f874c, 0x8e1bc6d2, 0x2f05bc6a, 0x88e62f22, 0x3b5e929e, 0xd7ecc5ed, 0xd5e01d21,
+    0x20f532a3, 0x55a231bd, 0x0113f5f1, 0x41ccfbc9, 0x67ba51cf, 0xb128e515, 0x61c6f02d, 0xb854abe3,
+    0x87d46382, 0x3cc12c87, 0xd722b84f, 0x8ae6b59f, 0xc3010b07, 0x27ba0ce0, 0xb0eee4e1, 0xbfdb57dd,
+    0x69d3a719, 0xcbc4c7bd, 0x3daeed5c, 0xeaa70033, 0x08f58b4c, 0x06fcd739, 0xe9eb1d78, 0xc88a4568,
+    0x433da11a, 0x5d08c70e, 0xbfca8050, 0xc7547587, 0x1ee9e32e, 0x544c4dec, 0xbb0d42f8, 0x117b9abb,
+    0x9917fef3, 0x9ae56791, 0xc61a17e7, 0x8abb61f7, 0xbe176b99, 0xb2c3de30, 0xbc75b3ec, 0xc85b646c,
+    0x24b5bd7f, 0xc16f4577, 0x35498d22, 0xd290af73, 0xa2eecf3a, 0xae67ec95, 0x1b3d6367, 0xcd94aaea,
+    0x8f7dea2f, 0x559c8781, 0xbd4997a8, 0xe83e6353, 0x1c46a8ed, 0x1f2dc99d, 0xda7d2343, 0xba4489ab,
+    0x36d5d612, 0x90306a00, 0x8080a493, 0x7260be02, 0xafa247f4, 0x517fe15b, 0x272c3990, 0xd687487d,
+    0x8592192f, 0xb19cd93b, 0x495b3054, 0xf9907095, 0x665d6da8, 0x625d5ba3, 0x9cf5e6ec, 0x735fb44d,
+    0x0ddb1b99, 0x84e61c9e, 0x56f44552, 0x3c22a23e, 0xa4ba15fb, 0x2bc9fae8, 0x418ab5e8, 0x0eb4392c,
+    0x5b827904, 0x515183af, 0x4fd4f9af, 0x64a4ffe8, 0x5cf3b55b, 0xaa7746d7, 0x8a1a4eb2, 0x31079229,
+    0xdaf7834b, 0x1402eba4, 0x16125328, 0xdaa71999, 0x1b086b89, 0x9b2c2d73, 0x6c98c739, 0x506cb7ac,
+    0x7f84b622, 0x50905eab, 0x0d53f682, 0xd4c63556, 0x45f99b73, 0x8a628e67, 0x41d28ecf, 0xac17dfe4,
+    0x9c989c12, 0xde1a2e9e, 0x26f5b12a, 0x3a51c8b5, 0x975f10b6, 0x2888db1b, 0x19991888, 0x6f742516,
+    0x55324f0a, 0x484e6e8e, 0xf501e8e7, 0x53397f54, 0xafab1877, 0xe813b363, 0x88f73091, 0xb286911d,
+    0x6fef09c7, 0x54c5089f, 0xddee5014, 0xd43ca34f, 0x4df07e6c, 0x3372d0f7, 0x4450698e, 0xa0e0c570,
+    0x19422496, 0x6bd560e6, 0x730b9845, 0x8504ccc9, 0x85c1b42f, 0x5c9263ae, 0x4a607325, 0x851bcb0a,
+    0xbf6c101e, 0x92c48fbb, 0xabb6196c, 0x5d7fd432, 0x37fa32d6, 0x45139cbc, 0x1c5f9ac9, 0xae201d3e,
+    0xa739a35f, 0x05271827, 0x330802a3, 0xc0bf5c2a, 0xa11c6c96, 0xc500b236, 0x598219f4, 0xd26423ad,
+    0xc8bdd0a7, 0xfe272c87, 0x2f7dcd49, 0x2821888a, 0x93ae4716, 0x13ecf8f5, 0x0bd46a86, 0xc074fcf6,
+    0x26604a55, 0xb880fb1d, 0x9fb5571d, 0xfa221690, 0x7a8cde28, 0xaf417c8f, 0x62716979, 0x08cbba6d,
+    0x0fd61a29, 0x72d1fe69, 0x371e13dc, 0x1d13ccd0, 0x13557b0d, 0x4d554188, 0x0ae991ca, 0xa3633abf,
+    0xa041f450, 0x7d5cb333, 0xa1480f21, 0x9c9a008d, 0xa96bf22b, 0x951e4c88, 0xd54d6a58, 0x5608cddb,
+    0xef5d299b, 0x49336b32, 0x49e77088, 0x84e54f41, 0xe6ed94c3, 0x2682a303, 0x2c458dd3, 0xc50e3a97,
+    0x687a965b, 0xf9babb12, 0x1bfcc0d4, 0xd4e493e3, 0xadff40fa, 0x48392192, 0xb4080460, 0x13cbf475,
+    0x9a4af23d, 0xf9c0564c, 0x6e41cbc4, 0x48d7f819, 0x33853dd7, 0x580cf060, 0xa6ede813, 0x9177c1ac,
+    0x01d0b3c3, 0x16d00382, 0x8cecea98, 0x023d5172, 0xa6927c67, 0xed8983f5, 0xa3da3283, 0xbc437cb4,
+    0xce71fdfd, 0x48e5b7fd, 0xa221d254, 0x7a8ce653, 0xf9548d82, 0x8b5bf33e, 0x20b8c658, 0x3ce85ded,
+    0x2217bff7, 0xb644764d, 0x909bbbc9, 0xb128f769, 0x3175a4da, 0x28c639e1, 0xe3cb6b99, 0x76d73dcd,
+    0xd2a8caf1, 0x9c85e407, 0x2a6a5c6e, 0x74c415d1, 0x268fafb6, 0x42c8a5be, 0x0fe67afa, 0xa6f5c5b1,
+    0x3a2323df, 0x381bff0e, 0x1aa04827, 0xa3753f73, 0x40fed219, 0x65e5bbb3, 0xe6753dc2, 0x820dde41,
+    0x87f26ac8, 0x76a680cf, 0x0f0bc4f9, 0xf7fa8e12, 0xc3b92f0c, 0x69337973, 0xd75793f6, 0x787170d5,
+    0x0215ccf9, 0x3397cc93, 0x6bfec0f2, 0xb1bce6cd, 0xc558597c, 0xad3b13f6, 0x47421e6a, 0x8cc79a32,
+    0xd3dee162, 0xcc8b72bc, 0xd3883634, 0xc5521f45, 0x033ff28c, 0x031e2d29, 0x4d4891b3, 0x9c10f82d,
+    0x745c8839, 0x0f57cf3b, 0x1555656e, 0x2142220f, 0xaaeda927, 0xd255ad12, 0x7452c2ef, 0xc074f62e,
+    0xfc540957, 0x2f13483e, 0xad56146f, 0xbae329c8, 0x0c323505, 0xb8c9c370, 0x61b78b52, 0xc732a6b3,
+    0xbaf76b5c, 0xc21aef72, 0xe947fd01, 0x98f4477c, 0x88e178db, 0x9feed443, 0xaf550509, 0x5baa32a2,
+    0x470079ff, 0x9cc75470, 0x5da355cf, 0x58366ddd, 0x423c71fe, 0x38f153e1, 0x2badcc7f, 0x7e0ab790,
+    0xe86ed5c3, 0x267b3e62, 0x2eca2b34, 0xf509a320, 0x8061a32a, 0x7b806fad, 0x11130391, 0xee456344,
+    0xd991fd99, 0xb5c53de7, 0xedf862dc, 0xe988d09c, 0xe8b0b162, 0x1f26b917, 0x3c783257, 0x201735ab,
+    0xc5436a07, 0xef3b6a4a, 0xc5673155, 0x6c41abec, 0x6099d255, 0x0f778c67, 0xf3313cd3, 0xbdb889ba,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          1809251394333065553493296640760748560207343510400633813116524750123642650624 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9b, 0xfbe8c3d2,
+    0x00000000,
+    0x8885242b, 0x53f5e8e8, 0x760392b5, 0x5a3e67cf, 0x987263fb, 0x28205539, 0x573e2579, 0x91f3dce1,
+    0x06b586fa, 0x03df0093, 0x1b9b25dc, 0xceff87be, 0x87e3e795, 0x8e99e2f9, 0xf9aeded2, 0x94c28757,
+    0xa33a768f, 0xc1fb0d15, 0x3babb545, 0x51ac7bcd, 0xf09eb0aa, 0xd227c797, 0x409bb64e, 0xd51309e9,
+    0xf0cda199, 0x81b84753, 0x5d8f2962, 0xdb37af03, 0x39c875ba, 0x73105b2a, 0x1e9a6d79, 0x78ae7c1d,
+    0xa4c6465f, 0x6a6e9edc, 0xd188b633, 0xc2865b1f, 0x5efe6385, 0xdfe4bcc7, 0xecd456f5, 0xf21ad880,
+    0xc065a1fe, 0xa29e91d7, 0x1f3d1f2f, 0x6192b890, 0x462a6b4a, 0xd76f5a54, 0x996d048a, 0x278ddb1a,
+    0xaee65465, 0xf31349e0, 0x9c9f0c45, 0xec605651, 0xdf483f80, 0xb1a9627f, 0xd596e0b6, 0xd9b23e5f,
+    0x74b16027, 0xc0d9a9c3, 0xe366dd79, 0x627a20fd, 0x5d2c00a0, 0x0dc8f9e4, 0x98e981c6, 0x4d29904a,
+    0x055b2830, 0xe035cced, 0xbb32a049, 0x64a47f33, 0xfc373e37, 0xc3b657bb, 0x4e661f13, 0x2c4efdc1,
+    0xe6feca2b, 0x28f44038, 0xffd5c64a, 0x7fbaddcf, 0x32080ae1, 0x66643ca2, 0x2edbb999, 0xb8f903c8,
+    0xd63ab6e5, 0xdcaaa6e6, 0x051e8a17, 0xd22587f1, 0x1653825b, 0x9b3706bd, 0x0e3747f0, 0x24818290,
+    0x1dc99e1d, 0x5cf5a8cc, 0x0cc64a4a, 0xe5a1b6da, 0x82baee4f, 0x121944d9, 0x74919e70, 0xc2f9ec18,
+    0xacf25a1d, 0xff14b9d3, 0x8a68e6ba, 0x0547daa0, 0x2345857f, 0x8bbc0fa6, 0xab4027e6, 0x35159e59,
+    0x3df12860, 0xf7c9991b, 0x1981b054, 0x548566ad, 0x20488122, 0x16c4f5e6, 0xce6be3a9, 0x1bd8889b,
+    0x3da7d1ea, 0x783cc756, 0x4d4b12a9, 0xcf412697, 0x5ba5c531, 0xf809b2d5, 0x2ffcb9fe, 0x66a4cbdf,
+    0xf5014170, 0x1093cfb0, 0x4ba9653f, 0x39765a86, 0x81d23b3c, 0xb38229e6, 0x0a8bede5, 0x760e7658,
+    0x64accbde, 0x01038e8b, 0xeedc261a, 0xbef16678, 0x505eddc1, 0x24137b22, 0x92db25ad, 0xcd8fc0b2,
+    0x0cbf1934, 0x74cf32ce, 0x4beda028, 0x9bcdb19d, 0x946a2430, 0x9eab62ee, 0x76622580, 0x9186ce9a,
+    0x87182afd, 0xd43b7497, 0xc48f66f5, 0x84fe581c, 0x7fe0cb79, 0x4658e92c, 0x44c7535c, 0xacf1889b,
+    0xd62cf379, 0x806bbb3d, 0xba171ddc, 0xfda71928, 0x1e9f399d, 0xc31cc757, 0x19eaa4ab, 0x542a2394,
+    0x13c136bc, 0x3b0a1da1, 0x277753f2, 0x04dab73b, 0xaa4b04d0, 0x2e1ecaa5, 0xdcb7ac6a, 0x48ee2367,
+    0xb7f19f11, 0x80c61ada, 0x316edd7a, 0x55b62965, 0x7c1d6d95, 0xd80b6b38, 0x135bf791, 0x462e7f10,
+    0x01a15bbc, 0x9bea06e1, 0x10338213, 0xfbc2a032, 0x2eb9395d, 0x5368524e, 0xf2a5875a, 0xbcc967e9,
+    0x4c7dece0, 0x68e632d7, 0x1803e3e3, 0x59554328, 0x29f7de5d, 0x43bbac9a, 0xc68fd583, 0x4f788d68,
+    0x42d61143, 0xb0fb0a16, 0xcd8446bb, 0xa2e20494, 0xe7f332d3, 0x39a0516c, 0x71c807a3, 0xb211b89c,
+    0xa003d7bd, 0x779e73e5, 0x664fd42f, 0x3a723a60, 0x84dbdf78, 0xfcda87f7, 0x0055058f, 0x5f14c0e9,
+    0x3fbb4265, 0xaf2f01e2, 0x9655c4b8, 0x2876b4ae, 0x51b9b79d, 0xec16ef27, 0xe1b4855a, 0x5a011b22,
+    0xefcea8a0, 0xc894c986, 0x12dd1240, 0xb95ef526, 0xdcc51d70, 0x5eabb0b7, 0xb764efa7, 0x75537c99,
+    0xf9c34773, 0x57f2f903, 0x5b16975e, 0x5899d159, 0x505c9669, 0x14da4285, 0x5979377f, 0x544bf6ea,
+    0x49773d82, 0x1c2c9737, 0xf94663c0, 0xa3a2831c, 0x1802109a, 0x2c076398, 0xae126b1e, 0xb0ae779b,
+    0x204a2593, 0x2a25250b, 0xf083e8d9, 0xda759cec, 0x99a9bff2, 0xa7c34230, 0xa46db1ea, 0xf6e17de3,
+    0x3e51ed1c, 0x829b2aa3, 0x45c068a8, 0x77580286, 0xd81c1b59, 0x24b48ef6, 0x2a0c3f7b, 0x0ac8eba8,
+    0xf989f437, 0x565a2689, 0xa932b5e8, 0x75e505d2, 0x30cecbf0, 0x3c4948ea, 0x860414b3, 0xf8e3e51e,
+    0xd1a66e6a, 0xa3d40c67, 0xebdd5dbb, 0xe9898242, 0x22c8dec2, 0xfd440a98, 0x1699187d, 0xb4474527,
+    0xe6e0d458, 0x73f549ee, 0x7980d226, 0xfb889a42, 0x97a44c78, 0x6bae5313, 0x21144313, 0xba751a84,
+    0xbaa1b00a, 0x4c20558c, 0xe953829c, 0x6bd44f83, 0x835aa018, 0xeb28bf0b, 0x9ffa62af, 0x826d9564,
+    0x03dcfe4a, 0xf9de81f5, 0xaf60e077, 0x219363d3, 0xdc5b2605, 0xcffd0eed, 0x9bf208d9, 0x32850438,
+    0xd62e7201, 0xdd48584b, 0xb178807a, 0xd139e86e, 0xf4bf0994, 0x836a7cd9, 0x45f6f058, 0xa0784dd2,
+    0xf0001c8c, 0xfa426b03, 0x8382c244, 0x4ee87f94, 0xec9ede84, 0xa4bffc68, 0x9f0b59c6, 0xdbdaf5c4,
+    0x3b110cc9, 0xd8482377, 0xb5f57ec3, 0x840067d3, 0x372c706d, 0x226a0171, 0x9b2824da, 0xa44039ea,
+    0xf48b5663, 0xfda6009a, 0x958d860e, 0x642d1fd4, 0x8602a86c, 0x92ce1f1b, 0x4f6953b5, 0x3dbc44ac,
+    0x8e2c1435, 0x7ac859b5, 0x73d11604, 0xeff66a6c, 0xff703251, 0x6826ad74, 0xf2d1af97, 0x0d2e2f2a,
+    0x56e47814, 0xc3014c86, 0xf5a16670, 0x60e3aba8, 0xe9385865, 0x52eb2c2a, 0xfd046f9a, 0xf82403f6,
+    0xf7315a30, 0xb609f64f, 0x310c48dc, 0xa23f1ab7, 0xeedeeab7, 0x3c1b7abb, 0x6b2376a5, 0xa1def708,
+    0xdf18cd24, 0x7e78e390, 0x6a81a436, 0x5fdbf86d, 0x79225d5e, 0x43719065, 0xce0648ef, 0x106f1f7b,
+    0x5f59c210, 0x88e3e853, 0xa7982fc2, 0x74710c1f, 0x004e083b, 0x570c203a, 0xe026fe8a, 0x355c614d,
+    0x1ba7d55e, 0x0ee1a472, 0xd36888f5, 0xc91d90e9, 0x7bdba0c5, 0xe3aeb69c, 0x1d3c7412, 0xb57d6a80,
+    0x59edde83, 0xd6ea808d, 0xb51f0a8c, 0xa9a9ad0f, 0x180b478b, 0x9cf33339, 0x67c10298, 0x84f5e3f8,
+    0x05847792, 0xb71a0b96, 0x681a0e5f, 0x563a5651, 0x55485402, 0x4e526874, 0xe1dc69f3, 0x7f389149,
+    0x62e223bf, 0xb56b8ea1, 0x40289b8d, 0x55d6b6f2, 0x9768e127, 0x632f0056, 0x971cfe31, 0xeaeeb7ab,
+    0x30e1dced, 0x2b48cdd9, 0x60ecc3c2, 0x1b9aa4b5, 0xa5561027, 0x2ea1c549, 0xae6c62ca, 0x8d84a85c,
+    0x470ecefd, 0xdd4c790e, 0x17fb91a1, 0xcdcdc49c, 0x85af8e14, 0xb5afc82e, 0x31429dfa, 0x1d9dcb43,
+    0x63c6291c, 0x58ecf220, 0x347eccf9, 0xee47d425, 0x66b6b807, 0x779457bc, 0x3beece13, 0x4b72ea1b,
+    0x994a5aeb, 0x8afb7bc6, 0x34cecd9c, 0x96159bcb, 0x8653c64e, 0xb1155522, 0xf34abe80, 0x79cbdfd5,
+    0x7c6da9c6, 0x84bb8a1a, 0x73a73baf, 0xbaf76c1c, 0xa0213691, 0x755bc317, 0xc69331e7, 0xb3a4a425,
+    0x60b26fdf, 0x6d4b3fb0, 0x764e3afc, 0x128bc99e, 0x9f9e59e4, 0x21dfaba3, 0xe2ae8872, 0x3ee7a002,
+    0x774528e4, 0x9953fd08, 0xa8737e36, 0x85b41b5a, 0x3260506b, 0x870f0149, 0x9d1c1570, 0x4a541aaa,
+    0x7a23f33b, 0xa117e6aa, 0x724902d5, 0x45c8f809, 0x9e02b062, 0xc6aecf9b, 0xa796750d, 0x4805c6eb,
+    0x9c5c5bf7, 0xeda8a5c0, 0x99cc2e42, 0xd7c1120d, 0xcde16581, 0x9742ec22, 0x00bfaa8f, 0x701bfc60,
+    0x02939a9a, 0x7e7f0104, 0x8b173094, 0x06dbd8ea, 0x2fe93dbb, 0x9e746b3f, 0xd327feda, 0x7bc9d20e,
+    0x6d323f93, 0x2356c76d, 0xc5a60513, 0x8624b4fa, 0x1f9107c6, 0x524f0e83, 0x266ffa1b, 0x049516bc,
+    0xccba4683, 0x780b0ade, 0x2db1f45b, 0x53f86572, 0x705546bb, 0x0d62de6e, 0xca50626d, 0xec70c46f,
+    0x917ca578, 0x137b0fb7, 0x337a7764, 0xb45def37, 0x8d84c987, 0xbec31f87, 0x54da691d, 0xb8c8697a,
+    0xf8ee9571, 0xf7256658, 0x880c425c, 0xd4fd3b82, 0x89998b33, 0x1dbae1d6, 0x01e55f58, 0xe7433e4b,
+    0x0d157f57, 0x82c38b46, 0x0d0f5a05, 0x1d9426e7, 0xfee02475, 0xb5fbe27a, 0xb3d604d8, 0xe6d46a15,
+    0xf005396e, 0x5523466a, 0x7ac43ef3, 0x5a025d37, 0xf785bf7f, 0xfeaba41f, 0xd787b92e, 0xd3ad56a8,
+    0x09185ecc, 0xde766a9c, 0xe72395a2, 0xe8aac3ab, 0xeda53a81, 0x8d5458d3, 0x012b2661, 0xffb41f37,
+    0xb6d3d560, 0xd4fc2a80, 0x7f5e5101, 0x7debc808, 0x3a8a7fad, 0x242027f9, 0x5a4f4467, 0xb318e2b4,
+    0x94372d6b, 0x9a3719bd, 0x8cef3c24, 0xd8e5a70e, 0x926aaefb, 0x908de449, 0x00679da8, 0xb1202ffb,
+    0xa65a6f49, 0xbf06d1bd, 0x0cc02a64, 0x3555ee97, 0x55b95a3f, 0xbc519fc3, 0x495fccf3, 0x217bf8b5,
+    0x07da52d1, 0xde04354e, 0x0eab65bd, 0x95581c92, 0x4dfe4a63, 0x444ee182, 0x8c3059cf, 0x35392fa0,
+    0xf811b6ca, 0xb69f6e28, 0xeca034c6, 0x65287394, 0x0ccc9f2a, 0x601bf13d, 0xfd90e0ac, 0x0a181cdb,
+    0xb1e6fee6, 0x8c00f078, 0x0a874e47, 0x37f04b2f, 0xa927bcf9, 0x8ea68ece, 0x5a2ebe3e, 0x27bc929a,
+    0x12107c2c, 0x0890f570, 0x6b045d40, 0xdbafa4d2, 0x2e3df8a7, 0x9ddbaa65, 0x8b6bbfcf, 0xb7aa9723,
+    0x7aded1c2, 0x0b7c3a27, 0xffb33ab5, 0x34caa0b7, 0xf248c04b, 0x8b9b1a48, 0x45cb41eb, 0xb811f747,
+    0x279f2d99, 0x8278cba1, 0x692374e9, 0x7a606ae0, 0x71841ea9, 0xe0208da2, 0xe21dc004, 0xf909143f,
+    0x08fad2e0, 0x3f025cd4, 0x3173585c, 0xed58adac, 0xf1ab3c98, 0x82c9b3de, 0x238fe38e, 0xe80315ac,
+    0x3abef472, 0x8e7f0b08, 0xb84e6d1e, 0xff3d7da3, 0x49eeaa93, 0xc35ebedc, 0xd86df55a, 0x9476d00d,
+    0x580289cf, 0xf8c181a3, 0x13c22f85, 0xc2925d47, 0xc2866cdc, 0x339c6d7e, 0xecd358c6, 0x0cbbccdb,
+    0x5ff5f20d, 0x785bcb52, 0x7905fb25, 0x1297abb4, 0x5e39ed51, 0x6e38e613, 0x3f13a7a9, 0xb1509fbb,
+    0xe51001c2, 0x62823d6f, 0x30fb0151, 0xd7b6b434, 0x0e3b7df0, 0x3c570844, 0xbcd363c9, 0x579d38c2,
+    0x0dcfbde3, 0xea5c20d6, 0xfc648d74, 0x1b1ecb1b, 0x62c8096a, 0x744d7bea, 0xe4e205e7, 0x920fd7bb,
+    0xf54f0618, 0xab59bb12, 0x531f6a0d, 0x3b9dec3c, 0x03ef96ad, 0x9a6039d7, 0x94b6c703, 0x61ae7783,
+    0x6757bc41, 0xcc1f4e3a, 0x460203f3, 0x661ab6dd, 0x2ed07d3e, 0x98e5e878, 0xd7908eed, 0xab8fcb64,
+    0x68a06f90, 0x9e2c3563, 0x139c4763, 0x5867d803, 0x8fee0c33, 0x15295ca5, 0x2f687eb8, 0xadbb7128,
+    0xfb9f7eab, 0x1a392c25, 0xec3f1d29, 0x9c210007, 0x4ace30eb, 0xdcb91553, 0x1f88d85d, 0x61b3fcfe,
+    0xc0dd56ea, 0xa6a7cbc0, 0xe72c4187, 0x27b1015d, 0xd1f3fc2e, 0xb372b681, 0xccdc96fb, 0x069361da,
+    0xb309674d, 0xaba28885, 0xf9258b59, 0x3997149e, 0xead72c2d, 0xb5be9a77, 0x532940c3, 0x572dde8a,
+    0xacd2662c, 0xf37ad45f, 0x0444166c, 0x1429938a, 0xc9c0e359, 0x6619f491, 0xe8fb389a, 0x7b1818cf,
+    0xa8e2d323, 0xdcd89d21, 0x752c5a36, 0xa23c7754, 0xe19b05c2, 0x25514d7f, 0x6c104c7e, 0xb5f798b2,
+    0x25ea8f0c, 0xf1fb0a60, 0xe8caa64b, 0x8728a184, 0x2af28c8d, 0x7c71e3df, 0xa3a378ec, 0x0ec40f13,
+    0xcd9b3646, 0x56448191, 0x1ab5679d, 0x737518ea, 0xfd8d0922, 0x4611b8b9, 0x3a17a61a, 0xb28b1666,
+    0xf0846772, 0x097e1b03, 0x00e899b1, 0x5888e79a, 0x112a8034, 0x5d317fb8, 0xe6cfe19a, 0xce5e2451,
+    0x5ef6e523, 0x7b14107b, 0xba832e1f, 0xa02bc851, 0x5ed1f97d, 0x44418f2b, 0x82029a11, 0x04af8031,
+    0xc075c2ce, 0xae2e9d54, 0x8871dcac, 0x4c5e9a7b, 0xb3f89dba, 0x69f40a57, 0xdf5ac1ae, 0x2695a8b9,
+    0x34832e35, 0x4bacf73b, 0x68a5cc0f, 0x773aed87, 0x0643d9ef, 0x93352b87, 0x3b5c0e1c, 0x2cb6d81c,
+    0xd4ac437b, 0xfd3246d2, 0xd013dbc4, 0x4b154362, 0x95ed1fe1, 0x676e3adf, 0xff03437a, 0xe1274c78,
+    0x38e87f98, 0x6cfb6300, 0x491ac748, 0x22a7a74c, 0xe0f6cf66, 0x3d73c560, 0x27509032, 0x4d4e324d,
+    0x0f36ed40, 0x9ef4c575, 0xdc9220e4, 0xaa7a400a, 0xfbdc0e3d, 0xc4e95801, 0x285762bb, 0xa148a479,
+    0xb9f81083, 0xcc5a38f4, 0x592a4933, 0x3d09bd98, 0x1665f72b, 0x9475a5c8, 0x3420cf77, 0xd04f104d,
+    0xd478bf19, 0x456f6547, 0xd1419bb7, 0xba29d0d6, 0xe64cd3db, 0xc3e3f56e, 0xcb89b4f2, 0xb9aa9ed3,
+    0x9e3370cc, 0x03e2b435, 0x6e5ad68b, 0x6c16c5c8, 0x8f3eec51, 0xfb88f1c5, 0x576e6d9a, 0x3cf5792c,
+    0xb00ec58e, 0xce6582cf, 0xdaf5d777, 0xc2341fe1, 0x25be8325, 0xb6e1c6b9, 0x6e160907, 0x371b3eba,
+    0xe6759262, 0xc976ad1a, 0x0c64d60d, 0xed427b3b, 0x5fe2ddef, 0xadc65293, 0xea16d9e5, 0x588d9ab8,
+    0x33a643c2, 0x99757a8b, 0xf0c48683, 0x10510cde, 0x95adb918, 0x2c8e7de6, 0x24854b12, 0x2e692c9f,
+    0x2306ffa7, 0xc439c79d, 0x99be293a, 0x504b9039, 0x7ab732b5, 0x642780c0, 0x1bcf5205, 0x32d7d0fc,
+    0x8b077573, 0x630584fc, 0x4ce0db15, 0xcaac43b6, 0x57a1d3a5, 0x281f1343, 0x30763214, 0x81bcb33e,
+    0x6ca63e1f, 0x06507eac, 0xe174b9df, 0xd252bdff, 0xad9c5b26, 0xd8fe88aa, 0xfe031bf4, 0x6019b44f,
+    0xf26fb0bf, 0x8f67feeb, 0x403d8df9, 0x833d6cc2, 0x94a36e5e, 0x2ea88dc9, 0x1864878d, 0x86d36812,
+    0xb4078c46, 0x2e69790b, 0x9341e706, 0x7dfdcdc3, 0xc4218928, 0x84f413af, 0x397e01dc, 0x375c930a,
+    0x9c294483, 0x97afa660, 0x57f1afdc, 0x99a35652, 0x0e668e23, 0x3bd32c83, 0x221025b8, 0x7f653f33,
+    0x884937dd, 0xccf1e0e9, 0xbc9c272c, 0x51e9e1d5, 0xc3390a55, 0x1effc4f2, 0xfc379f63, 0x70e5cef3,
+    0x55e315af, 0xa467d5e5, 0x44bea97e, 0x065b82cf, 0x2e26040c, 0x49b1fa8b, 0xdb172ee2, 0xca9e7b4a,
+    0x1975a6b0, 0x628aa43b, 0xd9f5a017, 0x550090c6, 0x570c5669, 0x9f513b6a, 0xb1728f1c, 0xd1d69d40,
+    0xb217f9a4, 0x2a610b11, 0xfe65f553, 0xc1dcb115, 0x8ebdef9c, 0xb6265254, 0x7b9ff98b, 0xb4f9decc,
+    0xe21a7c3f, 0xd9907595, 0x12f19064, 0x6865bb5f, 0x07fa21aa, 0x967fb531, 0xb191b55a, 0x3c934786,
+    0x9607ed7a, 0x3a7d9577, 0x881d19b1, 0x19507e00, 0xdaa47f7d, 0x7b4787e4, 0x31d347d4, 0x90df3bb7,
+    0xdeac494c, 0xe629bb2b, 0x22abd435, 0xe182cb5b, 0x81a23132, 0xd195c93c, 0xf99db47f, 0xfe9160b8,
+    0x60bd36d7, 0x7f778772, 0x8a5e5576, 0xcd11b60c, 0x94adb1c7, 0xfdfbd685, 0xab2e3b21, 0x33dcdc56,
+    0xa42bb1ac, 0x978de7f1, 0xf82bd23f, 0x6e0427f0, 0xae67ac79, 0x50f8a9d8, 0x4627f5ac, 0x62f96ca3,
+    0xfa1468fa, 0x59d61bf3, 0xdd432ca2, 0x878ce093, 0x40f61e21, 0xa9f06c8d, 0xd9111828, 0x4aa423cf,
+    0xfc82fa11, 0x9144380c, 0x76cd527f, 0x29334c2b, 0x6a115870, 0x5f2ccc3e, 0x70277399, 0x3d7cce6a,
+    0xb4d8fe48, 0x9b15af78, 0xa8c81464, 0x6f6fd4ad, 0x3ae120f0, 0x4d3fc697, 0x7d14a3c8, 0xc80782d6,
+    0x9ee914d0, 0x866a258d, 0x9a835cc6, 0x72406ffb, 0x25cc78d4, 0x590b4422, 0x98b723e7, 0x803752ae,
+    0x29b59132, 0x5bfa7927, 0xf121fe17, 0xb0ab61d5, 0x3f2785a9, 0x712e00f8, 0x864f8c27, 0x9d4d902d,
+    0xf8325c97, 0x1af4e344, 0x4e422cfb, 0x8304850e, 0xc7228fba, 0x1e0438b5, 0x36aab567, 0x3f85b2a4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0904625697166532776746648320380374280103671755200316906558262375061821325312 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254d, 0xfdf461e8,
+    0x00000000,
+    0xbaf267aa, 0x190b2dd5, 0x04e25193, 0x3b515dd4, 0xf988713f, 0x67b187ac, 0x0176aff4, 0xc8f4c406,
+    0x18a7384c, 0x58ddd506, 0xb9753059, 0x67a57006, 0xe993bc13, 0xd9b19f56, 0x39c06dce, 0xd15d6915,
+    0x80daf8d7, 0x13108666, 0x5b6ca829, 0x75478055, 0xd0cb708d, 0x483d5cbb, 0x965b89ec, 0x196c472c,
+    0xdb550014, 0xd2b7ab7a, 0x2c9f9104, 0x2e8bf065, 0x49e79d38, 0x371fed59, 0x38bec970, 0x0203e2ad,
+    0xe430cd13, 0x911e6284, 0xa55b99da, 0x304192f6, 0xc9a87dfa, 0x11da9d87, 0x54d09bbd, 0x990d8f79,
+    0x95365042, 0x55f9aea4, 0x65f8855c, 0xa4bd8a96, 0x4aeb22ac, 0xdec268f6, 0x3efe1930, 0x5e5d251d,
+    0xfbf145b0, 0x3d2c1697, 0x011cb79d, 0xfe8ca451, 0xe72db396, 0xe2ad24c8, 0x0ca342b4, 0x7c72fdfd,
+    0x753fcbcd, 0x9969ead5, 0x2ac01fca, 0x6cee9fc2, 0x53531824, 0x0a07b747, 0x31db6f0d, 0x5beeb710,
+    0xde1fa24a, 0xa47ae332, 0xcf91d10a, 0x25819d2c, 0xa1473daa, 0x3aad438f, 0xf6d4c8de, 0xaca2fc26,
+    0x8d2a61d4, 0x3eb1eb47, 0xf6ae077d, 0x0073f7fe, 0x11059a7f, 0x4d6298a8, 0x5006e586, 0x24e50d0e,
+    0x1b2c696d, 0xd6cd1c8c, 0xf122ba74, 0x66df438c, 0x0a25d418, 0xcc2cf8e4, 0xd8863b2a, 0xea931b58,
+    0xc80136fb, 0xea4ad0c8, 0xa056255a, 0xf68611d7, 0xc020bfde, 0xf1a47602, 0x48936d26, 0x390568c0,
+    0x58f2a69b, 0xc3452e8b, 0xfca68d87, 0x9ae6b3f6, 0xf4b02004, 0xc3ad5206, 0x4b35b266, 0x763d636b,
+    0x404a12a2, 0x22efea14, 0xf4952533, 0x12b6d46b, 0xd9c1f93d, 0xd84deed2, 0x4bb5764f, 0xec34a0f7,
+    0x7f281aa5, 0xe1ca6231, 0xc91d0796, 0x092f4c5a, 0x1d5f1937, 0x359577b5, 0x779b7c30, 0xb45b713a,
+    0x3aa7a29b, 0x845da38d, 0x32efdaf5, 0x24b89124, 0xe9a30517, 0xab05b3e1, 0x3bd86836, 0x2276109a,
+    0x4935acdd, 0xfef6b498, 0x2fc47f0d, 0x503c1266, 0x953084c2, 0x07abbd85, 0xe52e5a04, 0x966027de,
+    0xd017fab1, 0xf6df2e68, 0x6d84d819, 0xff19fd46, 0x0c4510ae, 0x41629f81, 0xdd3a7905, 0x590f503b,
+    0xb4bdb51a, 0x90fda975, 0xdc531e32, 0xc5f38be1, 0x282cdf36, 0x971adc1d, 0xff99d5f6, 0x9e0dfcb4,
+    0xe3cbbfdd, 0x0266aa3d, 0xf37101fb, 0xd2dfc992, 0xe0494a55, 0x4f67474e, 0x960f8b99, 0x01c12a94,
+    0x47906f48, 0xccfc7d03, 0x17950b03, 0x5bc04794, 0x310c25e0, 0x0160edd4, 0xb392571b, 0xfb072178,
+    0x35a58f9f, 0x73baf375, 0x9365dc63, 0x520d5ba6, 0xb2d01de3, 0x2b4e2631, 0xb50d5ad4, 0x7a6064af,
+    0xb1374450, 0xb5f94fc0, 0x80935749, 0x6b886167, 0xd2312592, 0xe5b76a2d, 0x73bd2425, 0x7f117381,
+    0x8032624d, 0x7421b9d5, 0x2bacad65, 0x7e6d30e1, 0x1ab96a22, 0x3ad50a4d, 0x7968662b, 0x5e2e8cbf,
+    0x7487d690, 0x34231e0a, 0x26a999eb, 0xcf4b0d7f, 0xcb130b0b, 0x7896fdf7, 0xb5f8c7ff, 0x826589c9,
+    0x3bb96aa8, 0x9f359b5c, 0xcda00c20, 0x8baedbe7, 0x7cbb002c, 0xbe65872d, 0xe7713f2a, 0xbbeaee7d,
+    0x3c3427fd, 0xe52ade69, 0x9f09cbb6, 0x442faa2a, 0x80bfccdb, 0xbda11224, 0x51ff775f, 0x1dea1806,
+    0xb68f290e, 0xc2115210, 0xabb86132, 0x38f05795, 0x21bae669, 0x44f9a577, 0xdbfa0cee, 0x51b8aa14,
+    0xe475c7cf, 0x2e1b5034, 0x07c37adf, 0x356e077b, 0x65376dff, 0xc61ad98e, 0xa63e2428, 0x711ac0a6,
+    0x509b9512, 0xfae76025, 0xcbcdb3df, 0xb6498104, 0x4d7be654, 0xbbfc900d, 0xf1f1a56c, 0x41a00b89,
+    0x13efe7e1, 0x2ce10415, 0xf11f3ac6, 0x1f97eb8d, 0xf00b12d3, 0xa487c9e0, 0xdb7a0e8e, 0x4d6ec66f,
+    0xc7a285a7, 0x92129e0b, 0x1ed94d49, 0xe2465c20, 0x3bc04ad2, 0x7ab5e533, 0x5e3f49a5, 0x50a59a53,
+    0x0a110384, 0x75be7570, 0x3efa9eaa, 0xae95d67d, 0x6027e42a, 0x00d0199d, 0x070c3efa, 0x86d88879,
+    0x264f0bd8, 0xb3f0fc4f, 0x73a54aec, 0x7a2606cc, 0x11846c33, 0xbc8e4024, 0x471e1cc5, 0x6394b3d3,
+    0xfdb794ee, 0xa15df2ae, 0x3f3d8b14, 0x74e7ec3e, 0xbcb6f002, 0x29f500da, 0x5f8b4d67, 0xeba30667,
+    0x32a23b2f, 0xc5490424, 0xce1780ff, 0xf414bda6, 0x93d92eb1, 0xd83cd8a8, 0x659bfc93, 0x354f741e,
+    0x793d5fa2, 0xc5b0daeb, 0x83faff9a, 0x495d4269, 0x6eb7a2e0, 0xb0896d62, 0xf3d69d36, 0x5226ba8a,
+    0xa6f0fb2f, 0xdfbc3ea5, 0x93b79dd0, 0x8902f176, 0x2f5e273c, 0x3a8cc3bb, 0x6f3e2fd6, 0x68ca8301,
+    0xe8a59094, 0xc9371fe0, 0x01e29ee5, 0xac255a3c, 0xe04dc81c, 0x5388ceea, 0xf344b42a, 0x11b9e7fa,
+    0xddb1ac71, 0xa8d9bd44, 0x212e2c6a, 0x9ebcb50d, 0x62fad8c2, 0xd2bb968d, 0xdf2d9f16, 0x9b80f655,
+    0x5224cf1d, 0xf1db110e, 0xec5b3111, 0x83da78fa, 0xf411fd98, 0xdcf2a56c, 0xe187bbda, 0x15fa1137,
+    0xb1d31798, 0xc47685fe, 0x6c7da4f7, 0xb54eb022, 0x09036f7a, 0xce45bbd5, 0x0e4c1291, 0x5b5c448b,
+    0xc38da0f1, 0x5b143123, 0xb9cbb4d3, 0xa66722bf, 0x7146f722, 0x8768ed85, 0x5551c39b, 0x92b265bb,
+    0x19edfef2, 0x3cd19c57, 0x343aeb21, 0xc20389b6, 0x6703e846, 0x1c6b15d3, 0xec4a3c30, 0xa9f83559,
+    0xa0f34046, 0x292e9598, 0xbb53940a, 0xa76fcd62, 0x8c719c02, 0xfafe3755, 0x3caea489, 0xd8c932e3,
+    0xbc59f809, 0x99154ac0, 0x41ca1c5e, 0x4a64a30d, 0x94a9cb1f, 0x027517ba, 0x7e1ea187, 0xdc1d4b17,
+    0x0fae8a31, 0xee287a64, 0x43342292, 0x9555edb9, 0xc4ccda68, 0xaa05e97f, 0xb2b6a3cb, 0x67ca4ba5,
+    0x5aa01963, 0x0c0c81b4, 0x03a2e5d0, 0xb73fbbd7, 0x5752c1d8, 0x2c9cb76d, 0x739433ce, 0x9b022502,
+    0x1f22b4a8, 0x1aeca977, 0x54204980, 0xf80521af, 0xe0e0d5b8, 0xa7a99c4a, 0xbf772e59, 0xa44db4c2,
+    0xb2df5ba8, 0x4d55cfd2, 0x12cc71ae, 0xedc7d9bb, 0x7f212dda, 0x752789c4, 0x77ff3c01, 0x1967d557,
+    0xc01ccf7d, 0x6873ab0c, 0xa935515f, 0x5ebc30b2, 0x4519ce70, 0xaebc8840, 0x95f75970, 0x3c44293b,
+    0x1c3db51e, 0x1ccd0020, 0xe31dce48, 0x8d398cfc, 0xdfa36572, 0x381eb861, 0x9edbb918, 0xb536da7f,
+    0xcbeaca28, 0x612ed7aa, 0x03e41de5, 0x99e4e12b, 0x5ede2753, 0x6269085a, 0x54ca9352, 0x2c6d873f,
+    0x7d6fa939, 0x3de1c562, 0xb1d2283b, 0x2f644c36, 0x9b00b83c, 0xbcce3665, 0x85209104, 0x92371058,
+    0x962b5be9, 0x9c85798c, 0x1c4bcf01, 0x09c9dadb, 0xd71a4701, 0x238b5530, 0x21e4f190, 0x373d5bda,
+    0x07142b2d, 0xed660d4c, 0xe63cd003, 0x5558c054, 0x64f7f1c7, 0x549a8ae6, 0x51d40ebc, 0xa103ff3a,
+    0xb521f090, 0xdb53ee05, 0x0ef793d8, 0x1fbe6e15, 0x8a35d924, 0xe09ac292, 0x2ce4b7ea, 0x4f80d186,
+    0x9070f8ab, 0xf36d56a4, 0x8768c985, 0x12cf1c52, 0x5174629f, 0xdbf7f9b9, 0x945e254e, 0xb6fbead8,
+    0x7c88aca2, 0x07752cd7, 0xe59e106d, 0x291e6376, 0xe4fb84a0, 0xc2720504, 0xee227a0e, 0x5938fbde,
+    0x86f1d00e, 0x3f698653, 0x2dd81fe7, 0xff6ecebd, 0xbbfaa3d6, 0xf0ff330f, 0x07fecc71, 0xc5a2b8a6,
+    0x2a9e60fe, 0x745391f5, 0x99fe1518, 0xbd62de3e, 0xf72bdcb8, 0x35e5127c, 0x1f7ea86b, 0x20e25b2a,
+    0x9418dcdc, 0x759bf8ce, 0x7c3ff74a, 0x21e8e771, 0x492e45f7, 0x34288f61, 0x9df5c93e, 0x9b23a5ee,
+    0x21ac121f, 0x6d48a072, 0x436b2741, 0x6fc06bc3, 0x3a3189d7, 0xa44eaefc, 0x6f682dae, 0xf9263f5a,
+    0x1858176b, 0xa732040f, 0x28131b73, 0xcc76272d, 0x0b87347a, 0x8fb45fef, 0x9c5a4a7f, 0x75860112,
+    0x4d0b1a7e, 0xb3f6bad9, 0xf25f9356, 0xc6d21c05, 0xecf57851, 0x2d005c16, 0x9436c217, 0x977c4c97,
+    0x9489e305, 0xf24a00bd, 0xa7e32501, 0x8e1b6819, 0x8d1e1d2b, 0x63a56751, 0x76c5d319, 0x6df2c6a4,
+    0x50b96bad, 0x56fc650d, 0x6aec16a4, 0x3bfbecd5, 0xa0f7d06a, 0x6862201a, 0x591034b5, 0x8f140c1a,
+    0x94dd63c2, 0x0e926ed5, 0x8eb79111, 0x269e8757, 0x5223cb5f, 0x4c1f9703, 0xf6211356, 0x36aba072,
+    0xf38df615, 0x9c30232d, 0xfe36faf4, 0xa097c0eb, 0xf4a09e80, 0xf994e312, 0x08c8b7fd, 0x0f8ca825,
+    0x69125899, 0x0a5fdab5, 0x9f22fecb, 0x7ee28e63, 0xd31e74dd, 0x5616fc88, 0x192aae4e, 0x313e7f2d,
+    0x41c7b05f, 0x53d12cb0, 0xc041ac50, 0x83df8164, 0xd03490a3, 0x3fc0a7f2, 0x05c3c15f, 0x3d9600a8,
+    0xcbec5e17, 0xe8658c33, 0x380634d1, 0x17ed9b45, 0xcd980ac9, 0x107c1fbf, 0x497b5c03, 0xce237433,
+    0x09356592, 0x885740b5, 0x36ebd9f0, 0x0075dad6, 0x912a3108, 0xa2d4c192, 0x0c471e28, 0xa8cc98f3,
+    0x7b7b0a6f, 0x4eec58b8, 0x36be33ae, 0xaed735a6, 0x56c61e65, 0x25bfcdd8, 0x61ea42d8, 0x6b10a003,
+    0xd95b2e0b, 0x4e5a1b96, 0x95e92f2e, 0x21b0287b, 0x26331ee8, 0x9076aa02, 0x525c4e96, 0x37ee73fb,
+    0x9bfd034b, 0x468b39e3, 0xd2dc7b34, 0x4b1e2c83, 0x8eca227f, 0xc5926e78, 0xdf293314, 0x36adb809,
+    0x5391c73b, 0xef1db738, 0x5fd6d2af, 0xe4e54690, 0x8bc19a7c, 0xd0fa35e3, 0x713e21c6, 0xee0bc42e,
+    0x266af4c9, 0x83f2c222, 0x2112090a, 0x11985009, 0x71cd44df, 0x345535d6, 0x5d87740e, 0x7bb0b404,
+    0x79277c13, 0x9f5bc950, 0x5212d1ff, 0x449e87c1, 0x19caa178, 0x9a9b6041, 0x483c8995, 0xfe2ca049,
+    0xd62c7179, 0xc60244d4, 0xf4ca0c67, 0xc3e0977b, 0x255902ce, 0x45facd0b, 0xa5b2ba70, 0xb9fbd32d,
+    0xbeab2ff7, 0x382d0c8b, 0xbbca60c0, 0x2658a4bd, 0x1bc88ddc, 0x841ea4cf, 0x34756da3, 0xb5878a8b,
+    0x593b04bf, 0x0f080d12, 0x981be893, 0xe5fb269c, 0x9d49327f, 0x5c07075e, 0xd72e1e09, 0x32e4276e,
+    0x777777c0, 0xb5f2208c, 0xc7f48fef, 0xcdc9b9f6, 0x24ac23cc, 0xccd92952, 0xe78980ba, 0xa7b32b47,
+    0xaa63ad86, 0x0a7b3f77, 0x5bf3dd8a, 0xfdae241e, 0x51c50132, 0x8c938231, 0x217d2eed, 0xdb195806,
+    0x0463a662, 0x588424db, 0xcc79cf7e, 0x212984b9, 0xc2fc70d2, 0xd3ebc3ba, 0x15bc56c7, 0x59e82116,
+    0x464bede7, 0x84a2ef47, 0x2dc4ef08, 0xafe2e1a8, 0xae2dab5d, 0xbc4be844, 0x486d4c6d, 0xfcdbd919,
+    0x08652631, 0x80c13438, 0x33577cd7, 0xb4f966e4, 0xd9055d2b, 0xd6da3228, 0xd67a9686, 0xde31d8fe,
+    0xa854fac0, 0x03528a12, 0x279e7996, 0x0a320c66, 0x362283a2, 0xfbe96628, 0x796bedac, 0x51f06232,
+    0x0c8821c3, 0xdd4eda1a, 0x697e0b0c, 0x8092cacb, 0x7796b620, 0x07b1c005, 0x9b7eba1f, 0x670400b8,
+    0x8077ceb9, 0x89f02973, 0xad0b817c, 0xfbf5a379, 0x21feedd4, 0xcbcdc3d2, 0x6a5974ae, 0xa5e7a371,
+    0xbc72ae92, 0xcb7fac0b, 0x4aa39b4d, 0xa1f8f61b, 0x49fad40b, 0x3e32995a, 0x4a302d17, 0x7696d177,
+    0x4e167395, 0x26f0812f, 0x447d03a6, 0x8c6ffea0, 0xf5ae33de, 0xb1f43dcd, 0x372f5a71, 0x60c0b53a,
+    0x3f0ff222, 0xf95277a3, 0xda20f6f0, 0x151547b4, 0xd49da385, 0x0ea8ebc2, 0x3df27172, 0x75d5490e,
+    0x64bfbe33, 0x23394c95, 0x06794191, 0x0e9384af, 0xf809cbdc, 0x6b167711, 0x5cdb08b8, 0xccfc88ff,
+    0x16cf4667, 0x18a28bcf, 0xd8d54db7, 0x7463a905, 0x8e9ae17f, 0x3b43bd59, 0x6e95f899, 0xba9cd538,
+    0xb248cbed, 0x8ced9f56, 0x99eedb04, 0x59237676, 0x13f296b0, 0x1e27c98e, 0xace2800a, 0x63247697,
+    0xb857f431, 0xa4d3a0ab, 0x16f50618, 0x27412be1, 0xc7b26234, 0x934935b4, 0x93d66a8d, 0xcedd637a,
+    0x7627fc0d, 0x4862dafc, 0xbc52bbc1, 0xc7a35b54, 0x09669f4c, 0x9d09c659, 0x8dcb078a, 0x0f3b1fe4,
+    0x4f14d378, 0x1eda8ea4, 0x19189796, 0x26934515, 0x4deaa885, 0x4a987b4b, 0x34f00a40, 0xa28cb5de,
+    0x7f9dadc8, 0x6605098e, 0xf5ac3e5b, 0xf4569b70, 0xbdee4876, 0x91b7a4c3, 0xa04002e4, 0x10222c7a,
+    0x971f51d9, 0xf6ff93ec, 0x31c72393, 0xf99b253b, 0xf9012de9, 0x23a34694, 0xba900680, 0x09ca70da,
+    0xd1f3baf0, 0xda3bdb19, 0x39063bba, 0x5b10a95b, 0x972180ac, 0x93bd5036, 0x896037d4, 0xb45316da,
+    0xd17d136f, 0xab0a64f2, 0x879ab721, 0x52b2e486, 0xd8e833b8, 0x633f9973, 0xb79ae44b, 0x1efe6090,
+    0xc92039c9, 0x13ed292e, 0xe726644d, 0x11846d7b, 0x19d5160e, 0x3ede53a2, 0x236c286e, 0x0c95de9a,
+    0x6c761fe8, 0xc4e26183, 0x771bb902, 0x22cf89ac, 0x63474b5b, 0xb8475941, 0xc3399c1b, 0x452ad203,
+    0x02d5e455, 0x7c28cfa7, 0x66db0dc7, 0xd3576d2e, 0x7d13a707, 0xc6866a89, 0x08f45c48, 0xf5781f27,
+    0x5786560a, 0x4c817f6e, 0xda4f3f04, 0x7b1d4bdc, 0x4a3ff26b, 0xd9ffe038, 0xaf6b0d99, 0x0fdfa5ef,
+    0xc58e7825, 0x69ac20ca, 0x668699f3, 0x640cf606, 0x409b02c4, 0x42d84cb7, 0x6d885c83, 0xbcd1db26,
+    0x2bf2fd47, 0xc6cab5e2, 0x5ce38f27, 0x0c03f666, 0x050ba14e, 0x3303afb9, 0x3c791134, 0x1970561e,
+    0xf542a07c, 0x756f763e, 0x41ed8c7f, 0x62b72d73, 0x37e2f422, 0x4b41bd85, 0x36ca6465, 0x3dc4e93b,
+    0x2e34d005, 0xb3600d4e, 0xe70ddb9e, 0x52163776, 0xd7c5c753, 0x040faa3f, 0xe2e15ea3, 0x105e9289,
+    0x7eaf8f59, 0x467fc084, 0xeed56142, 0x63bcf500, 0xbac295bd, 0x7ed7e049, 0x7447cdcd, 0xf01e013f,
+    0xab51262e, 0x6197d2f4, 0x561d2dd2, 0x47eea73c, 0xf3b1931d, 0xf760361b, 0xd4b4db45, 0x9791ce4c,
+    0x50d8f242, 0xbfe5b4cf, 0x5adcd616, 0x69907ad9, 0x11db23f5, 0xceea7028, 0xb253cbaa, 0xc7706528,
+    0xb748bce7, 0xebf61c2a, 0xe1bd9cb7, 0x43b70f84, 0x4b8719dd, 0x70ae8c9d, 0x113d9785, 0x5933e8ce,
+    0xf3c8b6ca, 0x224b4238, 0x2a8495f6, 0xe5a1d010, 0x7d2545d2, 0x7324416e, 0x79b72304, 0x4d3b36d6,
+    0x1c3304ff, 0x170b8e1f, 0xd6e826e9, 0xd2409685, 0x6adfb8a5, 0x00706d0d, 0xb7877066, 0xe657270e,
+    0x95d8898d, 0xdb0f616a, 0x353a7021, 0x00274663, 0xb4e4c63d, 0xb0589318, 0xa66b7886, 0xce247ede,
+    0x03d01e69, 0x9c3821ec, 0x9885ba20, 0x05b899be, 0x6fc3090c, 0x051160c5, 0xad882480, 0xd3874434,
+    0xdee3ef72, 0x5cc8fb43, 0x6a2ef1da, 0xf3d27dc1, 0x16fae20f, 0x656f29be, 0x7f64a5a6, 0xefc29729,
+    0x7c0e41cb, 0xb15abfdb, 0x45245871, 0xdc3d946a, 0xc71863df, 0x1dbd39a7, 0x78bec6a8, 0xa3084d8b,
+    0x3dfa45c9, 0x08df2b2f, 0xc4008c84, 0x63db92d8, 0x304409f4, 0x818f591d, 0x5cd6304e, 0x3bce1bd1,
+    0x1eb2460b, 0xa61224e1, 0x1195eecb, 0x7b348775, 0xd10a76b2, 0xfd5e8eae, 0x95a85bbf, 0x350a29b8,
+    0x9913c257, 0xd9b7bf0d, 0x7a0a6f67, 0x92eec2cb, 0x5752ab25, 0x9bfba238, 0xf33b97c7, 0x6104e381,
+    0xa2af6d5e, 0x0889960d, 0x77b0818b, 0x46118a77, 0x124a5559, 0xeeef6b9d, 0xe7209677, 0x4c9cf855,
+    0x120f48a3, 0x5b3175e8, 0xbacc5261, 0x3c78e5bd, 0x46b0f671, 0x9c3606fe, 0xed411d9f, 0x2909b483,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0452312848583266388373324160190187140051835877600158453279131187530910662656 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a6, 0xfefa30f3,
+    0x00000000,
+    0xdac400ef, 0xf2dbd83e, 0x8d0bdb01, 0x817bc8b5, 0xd5781abc, 0x6832dcfd, 0x50a0dbb2, 0x5b221a51,
+    0xd6318bb1, 0xc92e2da2, 0x8278dc5e, 0x5a970c37, 0x297c1b32, 0x814d8888, 0x51a9de84, 0xfff0bc11,
+    0xeebd6761, 0xddf342a9, 0x7b573ebe, 0x7223e9dd, 0x26affc80, 0x3077c22f, 0xc0bd5c8a, 0x9c9561a0,
+    0xbf0c36fa, 0x23900817, 0xeeb42859, 0x4f90f477, 0xab5d212b, 0x54076933, 0xc2e5495d, 0x41f1c3f9,
+    0x461905a1, 0x41d95160, 0x0878858e, 0x5b068a47, 0x5ecb8588, 0x4ff77f20, 0xd1e7fce8, 0xb6ccfea5,
+    0x13fcf910, 0x546b117f, 0x97f3122b, 0x513c2e91, 0xe4a6164c, 0x0489800e, 0xbb73e5f6, 0x3f674852,
+    0x80e09dbf, 0xadce07c0, 0x892eb986, 0x1b398a1c, 0x270647d5, 0x4f70f8b8, 0x427712dd, 0x72d1e9ef,
+    0x07f63318, 0xf952f1d0, 0xad67ec6f, 0x241cb4c8, 0xfb120fd2, 0xef0e48b7, 0x658dd4bd, 0x49500af6,
+    0x4e29dec9, 0x60d89ce7, 0x2884ba9f, 0xcea19fc4, 0xeca1380d, 0x6c44c942, 0xa3b59df4, 0x5c37a308,
+    0xa9d8ce01, 0xdab7690a, 0x6a73f534, 0x88318a18, 0xad12d2aa, 0xd22a56d4, 0xf61f5b7b, 0x04b508fb,
+    0x8dd84696, 0x51c41dcb, 0x975b5db8, 0x0e05d5db, 0xa3c54da5, 0x7ae2d63d, 0x8d0c5df8, 0x97f926f6,
+    0x3bb0b4ed, 0x835384b1, 0x9e1d22d9, 0x48d8bd42, 0x6c034bc8, 0x4edf6feb, 0xe50d18f2, 0xf00ec1c8,
+    0x51dfcfbc, 0x3fedecc3, 0x94787af5, 0xe4b014c2, 0x79773969, 0xcee040e4, 0x62a52962, 0xde6924c4,
+    0x0cae6885, 0x0a7e17ac, 0x032a966c, 0x458ae1ca, 0xc5edb506, 0x531667f8, 0x87321d9d, 0xcbd386b5,
+    0xe224cc11, 0x8b90ef36, 0x58933666, 0x6b4a223d, 0x67d1fcad, 0xc2dad4a2, 0x0e3284c2, 0x51e24e15,
+    0x695b0a1b, 0x4b4aff46, 0xe982e094, 0x5d6ef7e6, 0xc165f8e1, 0x7b576d2d, 0x80130c16, 0xc0f823a9,
+    0x57aa981e, 0xbc332e19, 0xcf0fcc16, 0x2005927b, 0xc1d1b2bf, 0x8b86c51d, 0x1d4e723a, 0x9a9488dc,
+    0x2a42f31b, 0x6a262801, 0xd9c5cf7d, 0x449d8565, 0x9bcf6d44, 0x70d7c312, 0x058b1945, 0x38ccdba9,
+    0x305f1385, 0x06595e85, 0xdfe36df9, 0x9d2b8d36, 0x7396abf1, 0x5b76623f, 0xebe8873d, 0xe7077674,
+    0x9c22d38a, 0xd5df2723, 0x382dd2ec, 0xe3a1c22b, 0x0382309f, 0x0275d7bd, 0x37b66109, 0x43456741,
+    0xcf96bca3, 0xa1c2421d, 0xbc963043, 0x66f8c1c9, 0xf4fdd047, 0x1ff6c47f, 0x27061d7a, 0xd81701f8,
+    0xe6301c2c, 0x67627a97, 0x84a0bea0, 0x921d4d81, 0x9009be46, 0x4d740ef0, 0xc3770635, 0x5a47d8b2,
+    0x90f936be, 0x2d220ecb, 0x55a88535, 0xe150580d, 0xec8f40fc, 0x6cf69c79, 0x1ba4ef7c, 0xcbff3972,
+    0xd8782330, 0x7e1feb8a, 0x9bb4ad7e, 0xe3413a37, 0x37a6243e, 0xcb8db79a, 0x6db5fc93, 0x0162768a,
+    0x03402fdd, 0x461c1a94, 0x956ee1dd, 0xc78eec54, 0x49a0508d, 0xe17c4a83, 0x1b439f32, 0x6bb92237,
+    0xba12c319, 0x44e03ea5, 0x6673ccf6, 0x42ada66e, 0x3a57b163, 0xc04d172b, 0x5d10b18a, 0x41fcbcf5,
+    0x7487b552, 0x2dee664a, 0xf7c39e7f, 0x4e649691, 0xaa678232, 0xdbddc4a5, 0x88562927, 0xa1b6a6a7,
+    0x96b6c962, 0x7026caee, 0x18a2bef2, 0xd63b51c5, 0x76b1348c, 0xd55da35a, 0xc1866d30, 0xf2c9d13a,
+    0x2613099e, 0x1187cfeb, 0x48324828, 0x374965aa, 0x950395bd, 0x9ae8abcd, 0xbf566473, 0x633cdae6,
+    0xefad4b01, 0x78135774, 0x5974e391, 0xd53b5640, 0x151518eb, 0x922fce4e, 0xa3cefb2b, 0x790194f7,
+    0x37bc5ffd, 0x01a55387, 0x8f37fece, 0xf58a801a, 0x0015787a, 0xd053481b, 0x2fee85c8, 0x28898228,
+    0x7d003ccd, 0x5f306221, 0x52ee91f2, 0xf2bba15f, 0x5404f59d, 0x6435096a, 0x951104fa, 0xb19a5431,
+    0x7ee1bc7b, 0x131abe1f, 0x4167cb3d, 0xec64e163, 0x3f6a8608, 0x17d153cb, 0x8ca752a0, 0xc72e4810,
+    0x84dc0070, 0xcdec6ffb, 0x6e075813, 0x39f4cd9e, 0xb8bd0498, 0x71cf4026, 0x5576d936, 0x73303384,
+    0x1b69beac, 0x9cccd611, 0x6235f2a1, 0x14c8796e, 0x396aba9b, 0x93af1f18, 0x91bec9fd, 0xadc2e9c5,
+    0x5220fb5b, 0x6587b54c, 0x7bbb93d6, 0xfb2c25b0, 0x49cf0e32, 0xbf7a2b61, 0xe5830d55, 0x7cfd1d2b,
+    0xdae2f644, 0x5cab7458, 0x2dee5a18, 0x5abb3cf9, 0xb4ecec4f, 0xa01e8b96, 0x61f65f09, 0x4bbb0234,
+    0x49369270, 0x3849e389, 0x67fe4a2a, 0x4dfda67e, 0xdced2184, 0x232686cd, 0xc61810ee, 0x82945432,
+    0x637b5290, 0xfb397e0c, 0x760280f4, 0xade6c014, 0x5098cd99, 0x7b4e85f6, 0xd11e9c30, 0xcf2b2c29,
+    0x696dae69, 0x9a1fadbc, 0x1d6c0df9, 0xc185a30d, 0xfb58ddcc, 0xa652adbe, 0x3f4da667, 0xa5003820,
+    0xd0a8bab7, 0x0a56a681, 0x477a48b2, 0xed4f4130, 0x537c0b3f, 0xad3f7b0d, 0x0ed01af0, 0x8a324434,
+    0x72440958, 0x6a41586f, 0x96cf3253, 0x55270576, 0x34e67668, 0x63a1187e, 0x726f2313, 0xe7d0305b,
+    0x3cbc3b38, 0xbe5f6003, 0xf182f74d, 0xc4991b65, 0x5fd424c7, 0xaab7ae83, 0x831a9949, 0xdb96cdb3,
+    0x6fb237e6, 0xf459b3e6, 0x542f274b, 0x2aaf98e5, 0x27a03659, 0x344f4e4d, 0xc24066b6, 0x5691b174,
+    0x674f5f16, 0x2e5657d5, 0xe2b69f1e, 0x813fbb5e, 0xdeea1363, 0x3b16644c, 0xda1c7919, 0xc7743900,
+    0xe6617a6b, 0x4cea9a17, 0x59b5ca6a, 0x73661595, 0xdf733288, 0x9159bea4, 0x11333a7d, 0xbcb57941,
+    0x0314ffaf, 0xeb73663d, 0x7ff56558, 0xe456b6bd, 0x7777bd34, 0x9434e66f, 0x07976530, 0xd5102f44,
+    0x3ff7b7ec, 0x0efaa19a, 0x0285ee23, 0x7deedc49, 0xd98d09c4, 0x7e1642d8, 0x626dd1a6, 0xa08b8492,
+    0xb810aa49, 0x243c813a, 0xedb06986, 0xd5c30db2, 0x840a8a61, 0xec46a30a, 0x6c122645, 0x1e18597c,
+    0x5b14827a, 0x50b7cd07, 0x580d3d46, 0xce516c9f, 0x9c8a0eaa, 0x7ca1f5db, 0xcb7c6c51, 0xb07f2b7e,
+    0x4c8ef2d3, 0xdd2c5a0a, 0x58385c91, 0x113392c6, 0x3192c6be, 0xb6d1621e, 0x4cb9f875, 0xd7775228,
+    0xac03787b, 0x057ed336, 0x17e2c9e3, 0x250427aa, 0xc9fc3741, 0xd27fbe4a, 0x13bfee38, 0xbee73dfa,
+    0xf17ad9b2, 0xb743c67b, 0xde26e1d4, 0xf1dd95b2, 0x10ad5a20, 0x07bc00fb, 0x0040302d, 0xaa1a19d4,
+    0x5185cb27, 0xbac319b1, 0x0f1e7a6d, 0x189fe3d8, 0x5c8224c1, 0xa419f17b, 0xb96242c5, 0x4676cc80,
+    0x1aa95ffa, 0x53bfb181, 0x7ac64ad7, 0xed0307b9, 0xcb0e0a3c, 0xd98ccb72, 0x001ff4d5, 0xd0705994,
+    0x237096f0, 0x757171fd, 0xd1be5b5e, 0x6c40020a, 0x3e976d8c, 0xd1ded128, 0x265e58db, 0x789a6544,
+    0x59ee3578, 0x6c435b61, 0xf89a7149, 0x8586f552, 0x3486af90, 0x806f1f81, 0x0e50f459, 0x969af802,
+    0x6c738666, 0xf951cbb6, 0xf9e54d46, 0x66e0a488, 0xac9203ce, 0x4a90e415, 0x3d104daa, 0x69502903,
+    0x15a66e93, 0x65f3c258, 0xa4a1c058, 0x177aebc8, 0x6b19aaae, 0xf0838ec0, 0xadf2625e, 0x404f593a,
+    0x12144056, 0x0c146609, 0x2c295785, 0xd00f357d, 0x8640e89f, 0x74cea95f, 0x8076ba9c, 0x59f959e3,
+    0xf7278b1f, 0x4ee9b866, 0x76c96109, 0x858743b8, 0xffcdef70, 0x8872f84d, 0x0e64742f, 0xf4a2dd59,
+    0x31908df9, 0x5dda0960, 0x4ba59c0b, 0xd4163e73, 0x9fa3d4d7, 0xcff133e1, 0xbf06843e, 0x668d1487,
+    0x593cc585, 0x3a3682dc, 0xcc92b297, 0xab78d735, 0xa7b9268c, 0xc72c4158, 0xa7b338e7, 0xfc2de7da,
+    0x07cd3bec, 0x89f82550, 0xbfb8adfb, 0xf6e0b3c8, 0xed0297b3, 0xd48b09aa, 0x7850728b, 0x00be6df7,
+    0x666d5cab, 0xa32699d5, 0xcaf7ca98, 0x03803423, 0x7e3478d0, 0x6ad066c4, 0x3fa0865c, 0xcc35d6e0,
+    0xeed0280b, 0xda79a87c, 0xcae7c630, 0xff0797d1, 0xa13f5554, 0xd12cffbc, 0x07b0471b, 0x252a8dd0,
+    0x709f5354, 0x7bcc9af3, 0xd6a8bb63, 0x395a960b, 0xedf45088, 0x06711b7c, 0x8f6a270e, 0x64447c5b,
+    0x6914d9b6, 0x313d033b, 0x3abcb37e, 0xf375fc7f, 0x285fe7bb, 0x3306259e, 0x5079eb72, 0x0d3bb176,
+    0xf0b57a97, 0x47a4d73f, 0xfb5c641b, 0x56b377dd, 0x07bdd40d, 0xe281d48d, 0x7de0b027, 0xa9995996,
+    0x9f681dba, 0x06bc448f, 0xc200a9b7, 0x4a037c22, 0xe60b7bd2, 0x52d78180, 0x586103d9, 0x683a75cf,
+    0x33597789, 0x3ecb2c59, 0x0d203b42, 0xf44a9ded, 0x9b39c734, 0x22cd3a82, 0xe89ea0ba, 0xa0900a59,
+    0x419e543b, 0xac6a30a6, 0x9adaab37, 0x45f0b8a4, 0x51834ddf, 0x7596946a, 0xd8d4e1ee, 0xeb5a9573,
+    0xb46ce557, 0x835c2a34, 0x2abe68ba, 0x1a270010, 0x9e382d0b, 0x46ae265a, 0x39b33bfa, 0x16dee1d5,
+    0x0aff3995, 0x10890b6d, 0xd72298d4, 0xb9090292, 0x5594dd99, 0xffa37771, 0x47c7f143, 0xa3dacdb1,
+    0xcf4276bc, 0xb27e8cbc, 0x797f4369, 0x8a10a641, 0xa4f4add6, 0x786ae3f5, 0x018ac90a, 0x86da7702,
+    0x678291a8, 0xb0667d73, 0x7ba69990, 0x2eac9765, 0xe675a778, 0x2330b13a, 0xe11bc780, 0x9a49379d,
+    0x45152f21, 0x0a951ba9, 0xd67961b8, 0xc9a101b3, 0x43d67e44, 0x938056bd, 0x0e2931e8, 0x5ee6d38c,
+    0x3b9adf6c, 0xbe748ab6, 0xa91c5fb8, 0xd87878f2, 0x49e8a48e, 0xa0d82b29, 0x47969187, 0x9c4af973,
+    0x7ba3a64a, 0xf33e7eec, 0xaadec217, 0x1eb6b83f, 0x347d9b51, 0x68338412, 0xe5df9e4d, 0x21116cc4,
+    0xa0db538f, 0x3b7991ff, 0x890c318c, 0xa24d943b, 0x2ab1d627, 0xf13735ca, 0xf4e38353, 0xc660442c,
+    0xd4442834, 0xcf3eb26b, 0x2c2ddfcb, 0xbfc03c29, 0x6d0988c4, 0xd6eec08e, 0xaf56c6be, 0xec8e57ae,
+    0x5f7617d8, 0x869dbd65, 0x58cbf812, 0x09d458e0, 0x8443d30f, 0x0539a10c, 0xb34c7cac, 0x926c416f,
+    0xe2770ac3, 0xf8e44cc5, 0xe91ee393, 0x8029c224, 0x30a8bc21, 0xf1a59855, 0xe5de6efe, 0x6dfebc9b,
+    0x39d29c05, 0x1021af29, 0x9c3a269d, 0xc52604cb, 0x0827795c, 0xeb726773, 0xf232f624, 0x0423f499,
+    0x3d6219fe, 0xe68f2d3f, 0x7071cd4d, 0x2072a08b, 0x40dfe378, 0x24322dc6, 0xd8199c6d, 0x63af1996,
+    0xc50632ac, 0x95ab381b, 0xb8cc588a, 0x66b847cc, 0x6dac4a9f, 0x2e7e12d3, 0xb78d34f7, 0xaed78a94,
+    0x6e54dbd4, 0x96096625, 0x5a987c34, 0x2b58c84a, 0x4b63567c, 0x33b2a392, 0xbaabb262, 0x18cfe53c,
+    0x54f482c8, 0x2ef8155d, 0xea283b07, 0xf1bdddb4, 0x0ca6d913, 0xecd0b5fa, 0x0bcb1e40, 0xcb6b9d4f,
+    0xb4703eb0, 0xe3eecebe, 0x2939f4e4, 0x367793d2, 0x72a38c3e, 0x020c62e0, 0xcb61f114, 0xac5b4aad,
+    0xb6226ed5, 0xc764376f, 0x3b9d3fe6, 0xdf68ff1a, 0x0cd07dab, 0x1672b761, 0x6eb435d3, 0xf5b9c8f5,
+    0x63ab69c1, 0x2cfbf3a9, 0xc913a104, 0x33d640fc, 0x3d765651, 0x157a8538, 0xd8295dca, 0xfd4a1e0b,
+    0x4b019687, 0xd3db7792, 0xd74f56f3, 0x79555df0, 0x33e27716, 0xedccabbc, 0x9e6e38e4, 0x5bd3f071,
+    0x8bbf7f89, 0x5f1479e0, 0x45e0ff72, 0x5c61374d, 0x9e3c80bb, 0xd67a22bd, 0xf8a36eb0, 0x440bfadb,
+    0x6f003f60, 0x41c71c76, 0xe68d1e36, 0x9e5480ac, 0x7e1f29c3, 0xd63407da, 0x459a22bd, 0xb5f1485b,
+    0x114b0a70, 0xbbc97bb9, 0x341533b2, 0x575d56dc, 0x0e0d92c2, 0x5ee949e8, 0x7d1e47cf, 0x976d68b9,
+    0x7f3dd8c5, 0xc93849b4, 0xfe961540, 0xcdc2c37e, 0xa7bd43f9, 0x14943186, 0x1920f746, 0x2a94bfcd,
+    0x2aa520f8, 0xcc17bfd7, 0xdbe8bfe0, 0x307d67e0, 0x60a1b7da, 0x6f91ed7d, 0x7edba087, 0x629fe1a7,
+    0xad44b31a, 0x3a5b01db, 0xb7b06dcc, 0xc9ff4640, 0x9aeaf858, 0xe757576e, 0xebe3f85b, 0x0a9c4256,
+    0x032bc13d, 0xdbc19180, 0x9b5af297, 0x4c6d6d9d, 0x8da25eb4, 0x9bb33651, 0xf16b90fa, 0x2f73cbab,
+    0x397de369, 0xd99d38de, 0x3c2a4607, 0xace9be56, 0xc619e8df, 0x5edbfe50, 0x5c22a575, 0x3bf4e450,
+    0xc3486441, 0x96572176, 0xbf74ec11, 0x6de8453d, 0x65f38fbb, 0x4681b8eb, 0x9aa39dc6, 0xdfbe54c3,
+    0x3c6fd2b0, 0x3b4aad7a, 0x5dbe93b9, 0x1ba935a8, 0x1ea132d8, 0xbc08deba, 0xce4dd14f, 0xb1ef9279,
+    0x4398508d, 0x5e208f79, 0xb2787ce4, 0xca6d0220, 0xc3a7fce4, 0xa890c31a, 0xc0672b30, 0x4237b4e7,
+    0x479fc849, 0x191e5854, 0xf015d155, 0x324a5e41, 0x028baa08, 0x5647917c, 0x4b505fc5, 0xff90ad1a,
+    0xa6cb8020, 0x23ba4e9c, 0xec623efd, 0x30d3043e, 0xe8d4eef9, 0x840913db, 0x8a2c4cec, 0x688ce692,
+    0x2db2b822, 0x178afcf8, 0x98da7fdf, 0x0034cbb4, 0xf5487e4a, 0x72634bf4, 0xd7ed0786, 0x0a2abc5b,
+    0xd4d3ef71, 0x9d5d060f, 0x2649402c, 0xa4bbbeb3, 0x3a600c8c, 0x2d359ce0, 0x6e2c6826, 0xc55d30ab,
+    0x2e48a157, 0x256806c4, 0xf8a90713, 0x404d9d32, 0x0e7df76a, 0x1b383b38, 0x738da0b1, 0xe9940a7f,
+    0x84345364, 0x43cebaca, 0x8de34226, 0x77b7dfe4, 0x3e4df125, 0x4d7b9638, 0xc63b72d5, 0xb725a6c1,
+    0x5e198c38, 0x2111513a, 0x788f78bb, 0xc5c144f1, 0xa75496e0, 0x68038fa1, 0xf16a5e45, 0xb360e446,
+    0xa923ade5, 0x5c9e1250, 0xe3b414d7, 0x0a5f8259, 0xb38d3a1b, 0xf46bcb39, 0xba668b8b, 0xb23e61c2,
+    0xd143cde4, 0x4ff63f22, 0xc9937ea4, 0x832a96f7, 0x40ba2c10, 0x60c0d940, 0x40da6e1f, 0x7c8e55b6,
+    0x1280c388, 0x371e127f, 0x43d71d0d, 0x0d4e9d8c, 0xb094ea58, 0x2e9c3f7a, 0x23ab6a28, 0xf3cf25a1,
+    0x7d905b0c, 0xe301e024, 0x45b24dc5, 0xf153b1db, 0xf59599f9, 0x9aa303fd, 0x04abde3e, 0x5edb1fb2,
+    0xca9f0589, 0xf197ec33, 0x16d73ee4, 0x9f4490d9, 0x859d9ea2, 0xb41e8f27, 0x775ae691, 0xebf318dd,
+    0xe889fb75, 0xf82d2361, 0xfa9d750d, 0x9155f478, 0xba51fa8c, 0x3a37f5a2, 0xfd1366af, 0xc64ad3d8,
+    0x270844cf, 0xd2dab61f, 0x241f6904, 0x59cce070, 0x87dce1ad, 0x62289ec1, 0x6d0c6092, 0x183cc130,
+    0x37537d67, 0x1d445eca, 0x5d9c2f21, 0x642fe6ca, 0x815407ae, 0x2299e99a, 0x504d303e, 0x5bf40ca8,
+    0x4204969f, 0xf0f0f546, 0x52613927, 0xbdba146b, 0x95a1691c, 0x8655f0f9, 0x6c6ee4d3, 0x0d18b1f6,
+    0x6e7db2fb, 0x3b9c627b, 0x3d72999c, 0x0fb555db, 0xde5a0a43, 0xdb3a43ac, 0x5cc52296, 0xfeb43ada,
+    0xf33020d4, 0x7dd15748, 0x542c9a5f, 0xe854dce1, 0x55854f6e, 0xd0b9f12b, 0x5aa5a8a7, 0xe07aa6be,
+    0xe352c7a2, 0x60ad84f4, 0x5ae1634e, 0x2a2ab000, 0x88d1713b, 0xb604bec4, 0x152abc25, 0xea95c633,
+    0x3c3307e3, 0xddb434f0, 0xb11c5efb, 0x99cb7bd5, 0xd72750fe, 0xd38c3638, 0x0f19666b, 0x0c513d60,
+    0x92338f14, 0xd33e895d, 0x54b3ea68, 0x9ba242d0, 0x3015640f, 0x950049b0, 0x88540a65, 0x483f1795,
+    0x0022c77c, 0x46084831, 0x216490e8, 0xa1e006d5, 0x6e8d1671, 0xadb58cef, 0x70bb4c30, 0x311b93ab,
+    0x9677554d, 0xd5f952fb, 0x57d32321, 0x2b7f4104, 0x85b310b1, 0x59aeca79, 0x9ea01360, 0x9785a8e3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0226156424291633194186662080095093570025917938800079226639565593765455331328 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4953, 0x7f7d1879,
+    0x00000000,
+    0xa756864d, 0xc4c46101, 0xf57ba042, 0x252daa52, 0xdc2d161f, 0x8269423e, 0x0c42a743, 0x3547d6a4,
+    0x09ac3ace, 0xf947a186, 0x4eb7d323, 0x1448a733, 0xf9ee31a2, 0x3cd7843f, 0x83484c75, 0x242713cf,
+    0x8a9e7f07, 0xdb27f322, 0x99edeb1f, 0x718ecc71, 0x2facf4a8, 0x99fbbd83, 0x069ad864, 0x6131761f,
+    0x79956e4b, 0x0fd53476, 0x4098506a, 0xf73a61b9, 0x6718dd6a, 0x736e4b57, 0xb30b0303, 0x88360aa1,
+    0xe33029c9, 0x7eec5b75, 0xb88c8cb7, 0xbdd493b2, 0x3df12267, 0x2bce4089, 0xfe241cb9, 0x36286266,
+    0x55658ee1, 0xedd25cdc, 0xa581dc85, 0x25bb4fc5, 0x7aedb972, 0x320b9c9b, 0x3305a7d6, 0x6e3a9c6c,
+    0xc397576e, 0xeece9399, 0xa514a9a5, 0x07251779, 0x79278b9d, 0xdcf505dc, 0xfc18710a, 0x3bdb125e,
+    0xd9d69158, 0xbf942762, 0xa23b798d, 0x773064a9, 0x1c019b5d, 0xfcdb1260, 0x2f38c50d, 0x6b29e7ce,
+    0xe7410d11, 0x576c26db, 0x666cd902, 0xfd911688, 0xfd41ef3b, 0x728b0786, 0x7670ae5a, 0x5ea72906,
+    0x76bf8ebb, 0xfc0dd2ba, 0xbba4fc55, 0x9fafe653, 0xa3cafea9, 0x9353b19a, 0x596c19e1, 0x6761f23a,
+    0x31076f8c, 0x19587f47, 0x93edff32, 0x038da792, 0xa1f09d44, 0xbc1517f1, 0x645707d0, 0xcec058e2,
+    0x8c208a2e, 0x9807a4c4, 0x6733df3b, 0x43273aac, 0x4d6f14b1, 0xe419eb3a, 0x661160ea, 0x400290b8,
+    0x54b7a0c5, 0x7855a06d, 0x7f268c26, 0x3a1fe05d, 0xa78c6810, 0x3002a473, 0xd26556ac, 0x2383430e,
+    0xc1088c6f, 0x1db18681, 0x39afa919, 0xfe399aad, 0xb95af38c, 0xdf36400d, 0x094b0784, 0x84ae7235,
+    0x5845ce98, 0x8a5c5bc0, 0x083ae9fc, 0x7c3e2c89, 0xf35931c8, 0x268e61ed, 0xadf9ba28, 0x6cd93fd5,
+    0xc4d5e0e5, 0xcae1891b, 0x0240a4c8, 0x4536122a, 0xecafbb3d, 0x493b191e, 0xb9f511c4, 0x462e9649,
+    0x9579395e, 0x69e4cc9b, 0xb102357b, 0xd8a8a2de, 0x5bacfab0, 0x64d316b4, 0xcf5c61b4, 0x2d115386,
+    0xbb501da8, 0x6e88241c, 0xf8af2cdf, 0x67b91cec, 0x289511d8, 0x0963a2d3, 0x40635cbd, 0xe21c7488,
+    0xeef1882b, 0xe2065cf1, 0x02bd3f93, 0x9b4a7c62, 0x04c94aac, 0x93633852, 0xeaa0cf3b, 0x50283e2c,
+    0x45ea2cfd, 0x91b16481, 0x8d509a1a, 0x4e9e344b, 0x2dea0ce7, 0xc0b976bc, 0x60e85dd4, 0x0c487933,
+    0x59a84bbd, 0xcfff7195, 0xc6d1f2b4, 0x128ba1e6, 0xb7d2c3a3, 0xa92e801f, 0xfd2fc694, 0x3df36af6,
+    0x3417a621, 0xd1285556, 0x691701a6, 0xaf6a218a, 0xa0de931c, 0xdc8a96a6, 0xd5131478, 0xc4874922,
+    0xeec6f446, 0xa6b757d3, 0x32694fd5, 0x66166ec8, 0x964cbb88, 0xa427f8fe, 0x6235022e, 0x6362f31e,
+    0xd435e520, 0x59732d60, 0x14ac0ca0, 0xedb26ce0, 0xae283580, 0xddfd4987, 0xcc63cabd, 0x434ac0f4,
+    0x4ac1e64a, 0xd954388f, 0xb00cf3f7, 0xf5452dca, 0x6c3b7a59, 0x46a3aac8, 0x22a40ff4, 0x00db2b77,
+    0x6f5a2429, 0x4db8e909, 0x6d3df56b, 0x47756ae7, 0xbda57f3a, 0x3f331bfd, 0x27549b18, 0x5586083b,
+    0xbfd2e3f8, 0xbb46192d, 0x0eba8a84, 0x592c2a4c, 0xfb693881, 0x2b9d96c2, 0x15bb9f4e, 0x909253de,
+    0xfc6f6d3a, 0x9384d521, 0x2cc8ff4d, 0xe2911c83, 0xff437e1b, 0x22a6103d, 0xc3e213d1, 0x22add752,
+    0x355d946d, 0xcd4a0fbd, 0xf9aaa49a, 0x2b322d8e, 0xb3e31c18, 0xf34ec362, 0x1a9f3401, 0x41dee778,
+    0xb4a48437, 0x6fdac38b, 0xfc05f1f1, 0x82fe4eb0, 0x24648b4e, 0x98524753, 0x12c47328, 0x8857350c,
+    0x11900fb9, 0x48e94add, 0xd9a6e9d3, 0x06aabcdc, 0xf75aba77, 0xd871b247, 0xdc62ac64, 0x5b99e733,
+    0x3d9a51a2, 0x25910eb0, 0x209e9847, 0x42a5e542, 0x001d5b78, 0xebdda7cc, 0xebc1bd50, 0xc7214fee,
+    0xa94f9b61, 0x7d030d50, 0xdd3a2d30, 0x05c6b992, 0x02fec75d, 0x1de936cf, 0xf369de1f, 0xaae6d319,
+    0xb377df12, 0x30ddfa36, 0xc54b82d2, 0xc90b6197, 0x9e4af270, 0x3dc42beb, 0xf2641150, 0x7a67cfd7,
+    0xd3afcaf2, 0xcd6a83c5, 0x73ebd846, 0xa3db68f5, 0x23e524fd, 0x2dec15c2, 0x4f5a147a, 0x302fe0e5,
+    0xa0595f4d, 0xa2d7a57d, 0xfdc47c83, 0x8a1a15a7, 0x287ad06e, 0x585d8dba, 0x48dbf9ec, 0x439230d1,
+    0x668a86a2, 0x7d01205e, 0x929a9d2d, 0x9fd2c192, 0x7804aaf5, 0x0f206c1b, 0x592657b4, 0x8ab2c73c,
+    0x992a8db1, 0x2216b6fb, 0x6ccc8831, 0x00734fe2, 0x53523116, 0x3cd07ae2, 0xa3a14919, 0x9e9de2eb,
+    0x424bf12f, 0x89b112ca, 0xd9e244f6, 0xdc016923, 0xcc70f96d, 0xad823595, 0x13e437ca, 0x69812a08,
+    0x7d61284b, 0xcabefd33, 0x1a28d12c, 0x1ba2c0ed, 0x2800e9b3, 0x1f71ae96, 0x01a7447f, 0xaf64aae4,
+    0xa140aa89, 0x0f6bcfe2, 0xb9cb03c9, 0x539d7d8d, 0x902d69a2, 0x5531d54b, 0xee88091c, 0x535680ec,
+    0xca44ff57, 0x1a3612c9, 0x156f42db, 0x61faf78a, 0xe73ed9b1, 0x8f2729a0, 0x0c67e0f2, 0xfdc41026,
+    0xc741f568, 0x98daab34, 0xade3b5fa, 0x94ca4ccf, 0xcfeb9415, 0x12018305, 0xfa582db4, 0x47205ebb,
+    0xf34b835f, 0x803a5cec, 0x3e596c03, 0xdc01b523, 0x9fa9716b, 0xf6c98cb7, 0x5b8df826, 0x730ca595,
+    0xfb41a3d5, 0xb3905e7b, 0xa33036c3, 0x2f792d85, 0xb5feb2a8, 0x28155f84, 0xb00e7252, 0xe08f6687,
+    0x55a268b8, 0xdc6a4382, 0x569758de, 0xd4b2ace6, 0xe9f3570c, 0xc00d9d8b, 0x2f09cecc, 0xf7953493,
+    0x30066a62, 0x835fe93b, 0x4b00f6d4, 0x170eed13, 0x37f2e5e1, 0xdaa79aca, 0x36e95eca, 0xe54fc661,
+    0xfac4a554, 0x8b5f8253, 0xda008048, 0x1a27772c, 0x472628be, 0xc277535e, 0xd6e27499, 0x80eda4bf,
+    0x0f5a52ec, 0x718e6a88, 0xa48849f2, 0x380abadd, 0x1435f749, 0x547fc361, 0x1cbc2bdb, 0xf90f933e,
+    0xef1a3dc7, 0x43e31f00, 0xff97d0f1, 0x6c0a9c6c, 0x96bc75b4, 0x62661cc7, 0x47200476, 0x4c4eadfe,
+    0xc86ca07b, 0x06164ee2, 0xdb285f2c, 0x8202f42c, 0x496fbc0f, 0x0a12ff5d, 0x61173e4c, 0xd831eab2,
+    0xef9506a3, 0xc62b3161, 0xc29f0fc7, 0xa2ae2ca5, 0x2204f7cd, 0x5014abac, 0xe9de16d3, 0x0021725b,
+    0x7ebb617a, 0x3fb8436b, 0xd2a6992a, 0x61cfeb21, 0xc5f8678b, 0x94a47524, 0xe733fb36, 0xefac0688,
+    0x9a1a645f, 0x9c5a06f6, 0x6d336146, 0x14eea63e, 0xec067b71, 0x34b49e73, 0xaabdff36, 0xa8107fde,
+    0xad13bf25, 0x9f21eeb2, 0xc7e6a4ad, 0x54457a45, 0x808a6088, 0xebd41e0e, 0x69f6ede4, 0xe51097b2,
+    0x8239c19b, 0xce19c8ad, 0x31392a1d, 0xf8a144cd, 0x043ed466, 0xb2a54cd5, 0x60db51ea, 0x7aa6fb6c,
+    0x1f13dcf1, 0xfb26b226, 0xabe1712e, 0xec8ff05d, 0xe9c49302, 0xbf4f387d, 0x33bde26a, 0xfcdc61cd,
+    0x4f6f3ff6, 0x271c45b5, 0x003100c6, 0x596e0297, 0x069a7416, 0x5770ac15, 0x9b66b888, 0x671f9121,
+    0x3e450a6a, 0x11404788, 0x7f7b95b3, 0x2c672c8e, 0x0c52adbe, 0xc16bd3ce, 0x356f4d32, 0xe65a934f,
+    0x19d0382b, 0x3e2903c7, 0x15f88c19, 0x74c4b08c, 0xe02c0f3d, 0x581be247, 0x9e7f713a, 0x18bf1a33,
+    0x058fc768, 0xb192a048, 0x3b5a33cf, 0x8977cf24, 0xac00763f, 0x58157bb1, 0x52d70a2a, 0x8f1d3c5f,
+    0xa6622b93, 0xae75aabb, 0x2a71a93e, 0xb0b0d70b, 0x797f4966, 0xa78c36f4, 0x43f980df, 0x4d50cb8d,
+    0x2231a4c8, 0x995c27ca, 0x285807ed, 0x1d7211b8, 0x83ba3f15, 0x80c654bd, 0x80257397, 0xc647bf33,
+    0xfe1ba177, 0xd3b63aae, 0x8a2fa7f8, 0x77d12fd3, 0x8e1fa16e, 0x9070da5a, 0xca55b680, 0x5c594cc0,
+    0x31ea058e, 0x93f93d4f, 0x7606fdaa, 0x4534c5c7, 0x952291ae, 0xb7fc471f, 0x92c44e62, 0x4208b680,
+    0xd9cda92a, 0x637b9d4e, 0x13a2eba6, 0xca4dba44, 0xc2ee22a7, 0x732b4c25, 0x473e6498, 0x5e5dcf9d,
+    0x6a6a5854, 0x61d3e287, 0x6d5f5bd9, 0xa14fabea, 0x2c5bcfb2, 0xfdae892b, 0x120eb1be, 0x0a87bf6e,
+    0x33af4ecf, 0x85e64bf1, 0x9155fd48, 0x7899cb98, 0xe4bfbf34, 0x13650517, 0x259d3a76, 0x31bbbb04,
+    0xd55666a5, 0x86c05cd0, 0x1d883416, 0xd4dbf7c3, 0x3e50c2fb, 0x4f498b91, 0x816ac4e9, 0xe41bac24,
+    0xdc05f0a4, 0x29676325, 0x02179238, 0x2fd912d4, 0x5dc9117d, 0x1eb961db, 0xa9b5f8ee, 0x1da85b11,
+    0x5792e897, 0x32c65aaf, 0xa0a6a6a2, 0x3a520f34, 0x41c3d90c, 0xd8f81ccb, 0x25131be7, 0xb4b3687b,
+    0xfd234fdd, 0x1d821832, 0x9fa85170, 0x685d2b61, 0x90bbd9ac, 0xe73aaa2b, 0xf9b5f6d3, 0xd28392b6,
+    0x660d3f60, 0xdb7d133a, 0x784ba47c, 0xc65ec09b, 0x057628f0, 0xe0c72276, 0xeb6a41e9, 0x6bd23cf4,
+    0xc8f086ec, 0xe1c4a193, 0x1893bd09, 0x59783a56, 0xa19cc134, 0xd9710682, 0xf99c8dda, 0x43e7e7b0,
+    0x0ef1baa4, 0x4ab857ad, 0x44e9a3ea, 0xe2304604, 0xb7ee72cc, 0xcdc50449, 0x0c0c1c63, 0xf0c944e6,
+    0xda4f8ae8, 0x98e38370, 0xd82a877c, 0xdd2ec801, 0xd864f388, 0x2cc73b86, 0xd9624d95, 0x4157a4a1,
+    0x90ef0e90, 0xc876d630, 0x06cffe0e, 0xd111adc1, 0x7ee85bab, 0x5bc90499, 0x0333e9c7, 0x322dd196,
+    0x66f41f3e, 0xe5c8f27e, 0xaa1542a5, 0x963c810e, 0xd8258015, 0x15410178, 0x97a1ea26, 0xc2361045,
+    0xbeea67bb, 0x9c09ca41, 0x749abca4, 0x41f18789, 0x6a101b29, 0x8ee08f66, 0xc9fe72fb, 0xfd6dfd26,
+    0xd4bb90bf, 0xeef3071d, 0x26d3e2a4, 0x582bb40c, 0xfcecd5f2, 0x58c396cf, 0x804f22e4, 0xd810510a,
+    0x78dae626, 0xbe6bb75d, 0xa2472e36, 0xbcf554d8, 0xdcd6eb12, 0xc156ca87, 0x8c7d671e, 0x410a3e4f,
+    0x2a1807cf, 0x7d8dac5f, 0xb039bb1b, 0xfe6f1b36, 0xe9fa7501, 0xb8fac303, 0x0a19b354, 0x37afa5ab,
+    0xaec5e9b3, 0xf1d70c4b, 0x7ed4d3ee, 0x10a2290c, 0x3f6752e6, 0x691807c7, 0xf9d2e4bd, 0x5d3bd4a1,
+    0x897a8efe, 0xd3a4e3ac, 0x26294b2c, 0x23bf88bf, 0x4e6e59a0, 0x65bcf948, 0xd70b7edb, 0xe2f44e06,
+    0xdb3b12ad, 0x3f392ba9, 0xbf05bfec, 0x832e1652, 0x20efc32b, 0x4a3cacc2, 0x04391c4e, 0x1aa04df0,
+    0xd66aa8df, 0x7e6e7295, 0x56de341d, 0xbf481bbd, 0x00c437ec, 0x6a05d6ca, 0xdbb6afab, 0x79759c9d,
+    0x107d6d39, 0xe1339ad5, 0xaca0c199, 0x5a5303db, 0xd43131a7, 0x1df6737e, 0x805102e6, 0x2a12d302,
+    0xa702c519, 0xa3c64dbe, 0xb92a4381, 0x39f34b23, 0xd999c8a9, 0x0ba210f2, 0x2c2211dd, 0xe00dbaf6,
+    0x7e6230f3, 0x0aaa5c2f, 0xff187f53, 0xe757e81f, 0xe88eece4, 0xc6a1fef5, 0x0927dcf4, 0xb9701994,
+    0x7c71f079, 0x8d47a0a3, 0x3671420e, 0xce8b3693, 0xc7cb54af, 0x31dd23d0, 0x2dc82974, 0x03ddbf7c,
+    0xa9a9a099, 0x78bb64a6, 0x117c33e7, 0x99b169f3, 0xa861d852, 0x682e13d4, 0x2895ebc6, 0xc98b30d1,
+    0x1a6d9a36, 0xe10c9857, 0xd320e181, 0x9f1f6d12, 0xab6f2b37, 0xef7482b2, 0x38fc4da1, 0xb94086e5,
+    0x43297b09, 0x7a438be8, 0xda34d01d, 0x2136e169, 0xa2d90f94, 0xa28a0e0f, 0xff68587d, 0xfd2f066a,
+    0x8da972c0, 0x82a4f0c0, 0xb322c71c, 0x1da57fe9, 0x9285d2ba, 0x598a0987, 0x7ecddac5, 0x8a507dd5,
+    0x5e771201, 0x9d85a5fa, 0x826d591b, 0x009d3afa, 0x137f26f8, 0x15a1dcd9, 0xfa99906d, 0x85398132,
+    0xe9a268b7, 0xac46b2df, 0x612ff9c7, 0x61cb0638, 0xb7ce8d4a, 0xc2cb9b10, 0xeba780aa, 0x13fe7ff6,
+    0xb69f5be5, 0x7978ec8b, 0x1db4bf58, 0xeee4b59a, 0x6ea852e0, 0x4fe00462, 0xa5f48e72, 0x6b93edea,
+    0x22522c38, 0x1a34bcc7, 0x653eaeb8, 0xaa08d915, 0x5bdb118f, 0xb8412654, 0xce367156, 0x8eb7e183,
+    0x938e2ff4, 0xc7974559, 0xa5fe46f4, 0xbff524d8, 0xaff1a4e0, 0xf42e11ae, 0x3e72d84e, 0x0cc00f7e,
+    0x5b2cdb1b, 0xd37d8d7e, 0x3a2e9605, 0x88254c71, 0x7d6267be, 0x0f2561c9, 0x5c970794, 0x330ca1b3,
+    0x2d06ac47, 0x9d9d4d25, 0x2af94e6c, 0x4368aa00, 0x4875e63c, 0xf250fb20, 0x2827fbc2, 0x20d4055a,
+    0x151e1f7f, 0xc0992fc7, 0xdbe1d221, 0x9c440ea7, 0x3fd2158b, 0xfe566f65, 0x3d013a85, 0xe268fdc7,
+    0xf1606abe, 0x3bcdf7cf, 0xa56ccb2b, 0x0cd31458, 0x17849996, 0x8624a193, 0x282b0d8c, 0xdead2297,
+    0x1da82491, 0x43bedc54, 0x18e971f9, 0xc7f10fcb, 0xd69b66c3, 0xf2f1f5e1, 0x565308c0, 0x64d681e6,
+    0x1a88f2b2, 0x5dfa9ef7, 0x4819d127, 0xb07b9357, 0x0e352c87, 0x225d5626, 0xe1148eef, 0x20834709,
+    0x7a454da6, 0xb4eefc3c, 0xf858720d, 0x4f4c2050, 0x9c613d1d, 0xa5d3d88d, 0x5d397ff3, 0xbb15f5e7,
+    0xff2aed44, 0xf8ba01e5, 0x5cbfab98, 0xe461f850, 0x26c3086a, 0x9e6205e8, 0x315a7321, 0xa9225ef5,
+    0x56fc8590, 0x2f0c1c60, 0x18e289c7, 0x008ffe82, 0x3db87124, 0x73ec89af, 0xb402cbc7, 0x1bab6e1c,
+    0xc59c0324, 0x99d23307, 0xb49275d0, 0xd4002e8e, 0xaf8e938e, 0x38d85b93, 0x0ec6924b, 0x1e0f446d,
+    0xb306533a, 0x962b7387, 0xdc78f2e7, 0xf71bef44, 0x5a306029, 0x324a7f56, 0x4853d651, 0x831f6a29,
+    0x0479cd85, 0x5b969155, 0x9c5e2dec, 0x9bb20aac, 0xe201a75e, 0x45140022, 0xf7088242, 0x538dcbce,
+    0xc47e6222, 0x67aa4004, 0x052feace, 0x0ba84952, 0xd161621b, 0x8780c12b, 0x281563ec, 0x46cbc4c4,
+    0x1a714fba, 0x603b3400, 0x21d0b5c6, 0x6c1d23a8, 0x599c3f12, 0x5735edc3, 0x2054826d, 0x7de01912,
+    0xc45b13d1, 0x78c97b63, 0x696a0580, 0x0989cc35, 0x8fdce58a, 0x249deeae, 0xf062efe3, 0xa39fe915,
+    0x390e517a, 0x3a7ccfea, 0xc9aa3de8, 0x20181353, 0xd94bbe6d, 0xcc5c1e66, 0x3eb5e0bd, 0xdcad2213,
+    0x6b390888, 0xf7767250, 0x04914245, 0xb94da756, 0x8ce82d2b, 0xedcfb5ba, 0x86707e8d, 0x31cc2947,
+    0xb3d2b836, 0xe19a0215, 0x951b27f2, 0x614d12a8, 0x6f736ec3, 0x172c8d9a, 0x645c62a2, 0x10fb1686,
+    0x72ce2a19, 0x7a86e64a, 0x4f70c417, 0x877b6c7f, 0x331e86ef, 0x84dfbd07, 0xa93750b5, 0xcfb23635,
+    0x0c115048, 0x489c6179, 0xf9c42076, 0xa48f410e, 0xe45a07e1, 0x7719a502, 0x8757e404, 0xc41c858a,
+    0x38a1ec31, 0xd9d09fed, 0xa075c1b0, 0x3092f151, 0x6156689b, 0xba9ec0ed, 0xa0cdf723, 0xfcd26874,
+    0xce95c261, 0xfe0dd7de, 0xb0e9f1a2, 0xd491d971, 0x8ac4d404, 0xb68129dc, 0xf608964f, 0xc640ce9b,
+    0x718005ac, 0x03aa5fa1, 0x5292af78, 0x9af70518, 0x283fded0, 0x42e7af43, 0x34d554a6, 0xbe9ec5ed,
+    0xb6e49977, 0x3f7bcbbc, 0x601d09f3, 0xd52b9a6b, 0xfdff61a5, 0x64589adc, 0xd254b087, 0x35df2002,
+    0x63fef535, 0x746eb387, 0x713f48ce, 0x4df43d51, 0xe31f9d68, 0xa67bf350, 0x718ba186, 0x1a70aaf3,
+    0xcf8e648e, 0xa4266bd4, 0x48534c77, 0xf6625aea, 0x6f7506ee, 0xc55b904f, 0x69b796b0, 0xa71111a5,
+    0x775b93b7, 0x078fb2fb, 0xdd66886c, 0xa28c3356, 0x0199d57a, 0xfb82c1a6, 0x578b88f6, 0x47ac588d,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0113078212145816597093331040047546785012958969400039613319782796882727665664 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a9, 0xbfbe8c3c,
+    0x00000000,
+    0x925a6c05, 0xeb84e7a0, 0x6106f7f9, 0xc9f458b1, 0xb2508840, 0xeec887c9, 0xdd78aa8f, 0xdc52cfef,
+    0x278a2b98, 0x90daec80, 0x17e6c7b6, 0x76ccf15f, 0xb8e9b1cd, 0xddc1f007, 0xb6a3703d, 0xc1c300aa,
+    0x45c4d7e4, 0x3e940c6c, 0xc0f32a77, 0xe09479b0, 0xa7b7a2ad, 0x809892b5, 0x2ed27403, 0xc0149b0f,
+    0x6d680584, 0x8c71cb8f, 0xab64e109, 0x806de692, 0xb9661359, 0xed79e7c5, 0x0d7806de, 0xecb13a3e,
+    0xfcd1706a, 0xbe8a20a7, 0xefeb4f1b, 0x7184dfc9, 0x2f09a2df, 0x88ffebb2, 0x8a4c61e6, 0x3bf6ddce,
+    0x81794c18, 0xc2abf1f3, 0x14af86e3, 0xcda923af, 0x7ba97021, 0xe67b300c, 0x3d297982, 0x1e81fe08,
+    0x77eb3ee7, 0x696785ce, 0x48b543b6, 0x0e7283c3, 0x77612ae4, 0x6896dba6, 0x530d6ec1, 0xbfe9b3ef,
+    0x1b225f38, 0xe8c26ea4, 0xaa5de2f7, 0xec79f2fc, 0x3b5cc140, 0xaa3c410c, 0xb7ca02d1, 0x4863b744,
+    0x63f0d5a9, 0x64e28683, 0xb36e5814, 0x365c190b, 0x7bbfb1aa, 0x1c6df49d, 0x6de3dc73, 0x011d9186,
+    0xa701c81e, 0x8d2b6724, 0xbdf96978, 0x36711cc5, 0xc39e7331, 0xad7d7e3c, 0x903efea5, 0xb13cb576,
+    0xc53f3aa0, 0xc18cdee5, 0x58481fe3, 0x5b8db2cd, 0x7d7ef0af, 0x729eaa62, 0xe626f0f9, 0xc2ee7f55,
+    0x82de0cd1, 0x1e51d491, 0x4baed735, 0x61fc19ce, 0x7f6dace9, 0x2266e43e, 0xaee44ddb, 0x1849ff73,
+    0xbffc77e9, 0x94bf94e3, 0x20744663, 0x974fe83e, 0x9f3abb44, 0x4082b987, 0x34a1ba75, 0x4bbce36a,
+    0x340b9801, 0x54d8c1ff, 0x1fdfc7f7, 0x7629abef, 0x6ccd0d5e, 0xc694dd6a, 0x421fec34, 0xe801fd43,
+    0x2a8bc6f6, 0x2e85bbca, 0x4f5a8c98, 0xbb752cce, 0xb518922d, 0xe2793cb6, 0x1be6aaea, 0x438d2369,
+    0x49dc4102, 0x13c15f85, 0x1cb99c07, 0xb4e99a61, 0xa4ac2bc5, 0x357c3e76, 0x25d3ad49, 0x2d71a4f0,
+    0x59a092d7, 0xebd843b4, 0xaf3d103a, 0xc990d58c, 0xd3247761, 0xdc31b235, 0xdffb3e59, 0x2cdf6633,
+    0x6e0841e5, 0x1d0802d1, 0x6e6824f3, 0x9e0dd4a6, 0xdf5db6bc, 0xf6d3dd1c, 0xd31160fb, 0x4b1a9bdf,
+    0xd1f8e482, 0xd2c8ba6d, 0x91188b62, 0x1e4ee73a, 0x040afba2, 0xe7a2775d, 0x8922271b, 0xd59f8382,
+    0x22d29d38, 0x2ac90ed6, 0x285acba9, 0xca5bcfcb, 0x860e3a95, 0xd25c436f, 0x8d00f8a5, 0xe47daa32,
+    0xd279fb0c, 0xc5a40d8a, 0x7b1a4b10, 0xf553de4c, 0xd8da6a38, 0x13d03f4b, 0x1d0fbed9, 0x13e7f220,
+    0xd419474a, 0x20c5b1e8, 0x139093ac, 0xa31249ba, 0xe933bdd6, 0x82b0a166, 0x12cbf81b, 0x888a31e1,
+    0xd9eff9c5, 0xd5522d24, 0x01175cd7, 0x1a60014e, 0x24862940, 0xbc552f87, 0x4a59bc80, 0xcf130ddb,
+    0x71ec24c7, 0xaf6361d1, 0x3fe25635, 0x44e3d657, 0xe5baa56c, 0x201ef121, 0xdb844675, 0x752a412b,
+    0xd1117ce0, 0x78e3794a, 0x26a2a003, 0x7a866d9d, 0x6a9d761a, 0xc0a42c30, 0x7f4bafda, 0x205288ab,
+    0x5e5c6017, 0x1dd671dd, 0x0fdd414c, 0x46cd8b3e, 0x3ad851f9, 0xf11e3594, 0xe9194c8c, 0x7d0ead64,
+    0xbf02c5e4, 0x4e4d97eb, 0xb0fa2d71, 0x576626c7, 0x689a1acb, 0x4fcce837, 0xbe748700, 0x830e4ebd,
+    0x0c44e1ea, 0xb352116f, 0x0d7782b9, 0xdff47521, 0x47c0ebf8, 0x64eb23a2, 0xd802b638, 0x125dc895,
+    0x2636ec30, 0xb3a45f9f, 0x162fe137, 0xb8d46bde, 0xfad862ca, 0x0114432f, 0x4d1061ae, 0x87bc3180,
+    0x720c7545, 0x0d01dc5f, 0xa8866584, 0x1ba726e7, 0xb4438894, 0x18c4a436, 0x7ef16194, 0x824462fb,
+    0x13fd9a34, 0xf6f00d1e, 0x144a7388, 0x564c714e, 0xa82a38ca, 0xc63097f4, 0x3c1b3b91, 0xc67bc5a0,
+    0x8e8b7c44, 0xe715a9d3, 0x8539f257, 0x126e13df, 0xe15a9d21, 0x0fe04ccc, 0xcffdcb4a, 0x66c00b5a,
+    0x59dff8a2, 0x1d52da00, 0xcb339112, 0x627998e1, 0xe1cc46e6, 0xbedae2f5, 0x7bd9d2d7, 0xc01a5d87,
+    0x3bdf82dc, 0xb985d7b2, 0x5395467f, 0xcff96289, 0xe150e9df, 0xc151a212, 0x80b0908a, 0x6f650235,
+    0x909c741c, 0x1f1b64c8, 0x1a0a95c9, 0x2f4807ce, 0x592f8da7, 0x44b52c10, 0x4e19bca5, 0xfc20ff13,
+    0x5ded2f93, 0x5533c439, 0x9c6c3cca, 0x97bf6e96, 0xb1650291, 0xfea42daf, 0xa18f4a9e, 0x65d2dadd,
+    0x3962da95, 0x9b2dcaed, 0xcaa54479, 0x92594faa, 0x9f354034, 0x2ba163cc, 0x9028d2cc, 0x637f3e9c,
+    0x0f95bfa8, 0x05497762, 0x71512a16, 0xeae23f97, 0x56c045a6, 0x8ed0d20d, 0x82dba02f, 0xcd558f90,
+    0x964d0f2d, 0x5c92cc36, 0x4ce43ede, 0x62b5db55, 0xacba39c5, 0xef8b8b97, 0xc0a4b892, 0x8c44fc44,
+    0xb8e51efa, 0x352a1f19, 0x7a546964, 0x862c4f0c, 0x4dc58b4f, 0x90254a05, 0xec348a10, 0x850f3901,
+    0xba1aafa0, 0x4d40d38c, 0x0ffa9dee, 0xede7ea15, 0x04d218a2, 0x31c1e5fc, 0xf468f829, 0x1ca0784e,
+    0x291793ef, 0x55ce3cd6, 0x0634f801, 0x659c0a67, 0x7652a561, 0xf484dbfb, 0xd51c26a1, 0x2de1fed5,
+    0xf324cb95, 0xeaff41e0, 0xe3477338, 0xd24fb398, 0x1bd4072d, 0xd5b58527, 0x96467285, 0xbecb3ad8,
+    0x630b7b67, 0x2f2c3cc5, 0x507e0270, 0x806bfc21, 0xb80adfa2, 0xbb7a415d, 0x4051983c, 0x03163526,
+    0xd609ff02, 0x34aa497a, 0x3f631e48, 0x2ec1efb7, 0x796e637d, 0x7cf29a71, 0x0c4e8eba, 0x406cfc76,
+    0xac7b456e, 0x13d889a7, 0x2316bfdd, 0xe5dd6763, 0x5f4b4807, 0x934c12a3, 0x5972e804, 0xcfe7a2eb,
+    0xa3c81417, 0x54543bf8, 0xf8f3b6b6, 0x8050f868, 0xc68e1716, 0x86399c1a, 0x6af417d4, 0x776c0615,
+    0xf574b51e, 0x796c71a8, 0x263a8140, 0x4ab656ef, 0x1eaddb09, 0x4875bb72, 0x3877442d, 0x6f0d526a,
+    0x3e85f2c9, 0x291bbd10, 0xb9d7d50c, 0xb871d8d3, 0x84f00f07, 0x1a32e23b, 0x8bf5613a, 0x570a107e,
+    0x82418cc9, 0x22df1bd3, 0x75b4656b, 0x54a02de5, 0xc7b1fc80, 0xf0428237, 0xdf2fa107, 0x24c72b73,
+    0xd50e500e, 0xe09a92a2, 0xccae03aa, 0x64f6e3cd, 0xba447721, 0xe1a8d5b2, 0xc403102c, 0xc64b220c,
+    0x53200481, 0xdf874ca6, 0x6e4a2cbe, 0x58dfe7be, 0x54a04f69, 0x9676a745, 0x4efd59d8, 0x30d07814,
+    0xac46156e, 0xf4ef72da, 0xf7fa82fe, 0xb17f7244, 0x84fdde48, 0x62ec0011, 0xdaebb12d, 0xa50ee1b3,
+    0xbb0506c4, 0xce1a7b92, 0x01d9c993, 0xe7bd5d2d, 0x9462c8a7, 0x12df1b6b, 0x3f74d636, 0x1b283c5c,
+    0x3160c71a, 0x61808a99, 0x002e8d7b, 0xf86712ae, 0x17520d40, 0xab838454, 0x3a7d988e, 0xc3358853,
+    0x1c86de87, 0x4b0a354b, 0xc0268675, 0x967ea0fe, 0x84f723f8, 0xd397e3d5, 0xc8c26c78, 0xc9344bda,
+    0x934755e3, 0xe96df929, 0x2da92d18, 0xb62bc033, 0x596f7d7d, 0x911490d5, 0x6b247016, 0x90566304,
+    0xc5a15071, 0xcb3e3a2c, 0x81a43929, 0x97d8c9bf, 0x62c08d9d, 0xc6644556, 0x82dfa5ce, 0x0b969c1c,
+    0x36bb6371, 0xd7b2b825, 0x7e672efc, 0x8d7884be, 0xf8c7091d, 0xba344cc7, 0x2d9ebf3b, 0x463a66ea,
+    0xaebc288f, 0x18bf403c, 0xf64f53d6, 0xbde7701b, 0xa3beff5d, 0xfe2a67fd, 0x9709a9b0, 0xcf9eb32d,
+    0xe720567b, 0x1aae9e7a, 0xd9a2b1a7, 0x746bd732, 0x80a0d89e, 0x8dd86f8a, 0x1c4a7a30, 0xc01b1e48,
+    0xea8dd619, 0x3fc5afc5, 0xdaff3625, 0x86093a0b, 0xbb7f1cb1, 0x906ab993, 0x833a2f17, 0x06adca7a,
+    0x5f789bb3, 0x0b9bc3dd, 0xfe083c8a, 0x5665bed8, 0xfc54a92d, 0xbc8e45c6, 0xba4686e1, 0x14a7e5e4,
+    0x6058cf40, 0xf88b0eb4, 0x597c8a91, 0x544b95ba, 0x250a82ae, 0xbc0e90c3, 0x2d5c8820, 0x13739270,
+    0x09be0af4, 0x25f4046a, 0x2ca543e3, 0x26c62e44, 0x08e8f323, 0xb2bacff7, 0xcb35a7c7, 0x395d27c4,
+    0x17e3d744, 0x8fc64c2f, 0x831e378f, 0x3973f88c, 0xf5c784bd, 0x1c250dcb, 0x3785fe61, 0xbb5f184a,
+    0xb137d9d1, 0x5db25ff7, 0xca281097, 0x53321287, 0x66ccbe67, 0x4aac8676, 0x6be9d610, 0x5b6aca13,
+    0x52d67dc0, 0x590fbffe, 0xce87c33a, 0xd0c0a86e, 0x69ca6c77, 0x17e5ea07, 0x25b9c5bf, 0x96497bcd,
+    0x50fd9354, 0xd7ad5f57, 0x98a604f4, 0xddd809a2, 0x1876039f, 0xc5d6d807, 0x1a6aae30, 0x278e0272,
+    0x1dfa7b9c, 0x518874a3, 0xf7186155, 0xd0cdaf70, 0xe569f455, 0x3dcf605c, 0x1ae4aed2, 0x830ef037,
+    0x083414e6, 0x29474fcd, 0x2b1609e3, 0x4d34dd33, 0xe513d207, 0x4a58ddf2, 0x9014013c, 0xa320f605,
+    0xb3c7d922, 0x6de71c6c, 0xb6c7ba91, 0xebe6d686, 0xe42e4460, 0x3c193c35, 0xb366a10e, 0x05a4fb16,
+    0x4f414aef, 0x032c5c01, 0xac4cccb9, 0x992ecf69, 0xbb8080fe, 0xd271c431, 0xdfb8fdec, 0xbf3a77d0,
+    0x9bfc1492, 0x6fdec14c, 0x291e4484, 0x65136ee4, 0x64a482b3, 0xfdb8b3b5, 0x3c2e2a42, 0x92cf03f0,
+    0x749c0356, 0x47f0e270, 0xfc0c7ae1, 0xcd95341c, 0xe7a2c1fa, 0xb6778299, 0x59813237, 0xb245ec6a,
+    0x27c63a53, 0x1e5bb704, 0x913f0ab8, 0x73d39ce0, 0xfcf43c7c, 0xfb2a4de6, 0x8f1c2865, 0x92318775,
+    0x32c3ef10, 0x13519483, 0xaccbd5cb, 0xf5fa3869, 0xf8c10fe2, 0xc4366e36, 0xc1f2e463, 0xd43dadf1,
+    0xa98270f9, 0x0e2adccb, 0xc405a85d, 0x1fe4836a, 0x80a28316, 0x42bfcfc2, 0x79d9fb2d, 0xf7a092e8,
+    0xd3db1190, 0xd78f3379, 0x2edd1773, 0x7eac3e78, 0xa8b71bc0, 0x23c14ecf, 0x046d283f, 0xe08564b2,
+    0x5f9c6660, 0xd1c7012d, 0x6b6bcc0c, 0xd7c248e1, 0x4dff5b6b, 0x5afd007a, 0xa1c944c3, 0xd00365b9,
+    0x8814e33f, 0x1d71e739, 0x4d014058, 0x121fd06b, 0x120b4862, 0x39f0063a, 0x79837721, 0x891672a6,
+    0x5d22e824, 0xd5360720, 0x3d83e442, 0x5fa327d5, 0x598b028a, 0x1cbcedc4, 0xc50a2495, 0xb160d09c,
+    0xce05b6e3, 0x0312dcc3, 0x311c39cd, 0x2b083d7b, 0x72a8fc31, 0x3c49787d, 0xd64ce11e, 0x1b48c65d,
+    0xa2368088, 0xcd340ab3, 0x6c72e4fd, 0xe6dd1f3b, 0x0814eb1f, 0x9c346b89, 0xf2fe21ba, 0x0f87244a,
+    0xb21faf6d, 0xae49c214, 0x58864ef1, 0x5b2277fc, 0xb9c89d14, 0x58da6c5b, 0x8839cbea, 0xb3d42e2a,
+    0x94bab43a, 0x29e6ea08, 0xde9bce3c, 0xad479deb, 0x01086628, 0x7e981cd2, 0xc6e658c1, 0x4f3a5370,
+    0x7e960e8d, 0x0721a381, 0x002675a9, 0xa6b70d2e, 0xbd4016ba, 0xfa261ee7, 0xadb9d73f, 0xe5293dff,
+    0xd5c32381, 0xaf30c249, 0x6f825b15, 0x6cb14ef9, 0x39d15d35, 0x4c392280, 0x98c40422, 0xf681fc70,
+    0x7d06dfa7, 0x3834240a, 0xc553d905, 0x4d171918, 0xf0cd524d, 0x5b0fba54, 0xd848689e, 0x71b63a4a,
+    0x3005c89d, 0xc7e5b3b6, 0x82fc5488, 0x8c2fa9a2, 0x75b635f4, 0xa28c335b, 0x01426237, 0xfabe0e3e,
+    0xce7a7b28, 0x683e0aa4, 0xac1bfb1b, 0xff87bfa6, 0x1ab3b99c, 0x11144ab0, 0x3a34f18a, 0x7eb54a4e,
+    0x33f81507, 0xd6e86216, 0x65afafd6, 0x9441070b, 0xbb9ad503, 0x1906ac59, 0xb403d488, 0xed9cdb69,
+    0xeccce5c2, 0x6cf6fa3a, 0x54aa0ab3, 0x640d2e59, 0xd9ea10c9, 0x8dd5b8e3, 0x9dd4b6ba, 0xfc6b4e10,
+    0xddb355f2, 0xb482e893, 0xfbfb8f64, 0xdf1e16f0, 0xac4179d5, 0x05edd205, 0x268e79bd, 0xeb40802f,
+    0x6cc51e12, 0xc6b8fd95, 0x98c64894, 0x135e39a9, 0xd27df963, 0xbf46dd36, 0x05b77ec3, 0x0f5b3899,
+    0x6e0df8c5, 0x74a51a6b, 0xc899bd6d, 0x57457e04, 0x9037eec7, 0x3f22d7be, 0xb2bcc481, 0x02633bcd,
+    0x34d6fec1, 0xad423918, 0xabfbc0da, 0xd38aefd0, 0x1e8ee41f, 0x0464ece4, 0x9cc2cfb4, 0xe5abb0db,
+    0x68b26fd8, 0xff44cca5, 0xe82025d2, 0x13371dcb, 0xace71e0b, 0x9a691c89, 0x769b16af, 0xde246463,
+    0x296b7c82, 0xd88795af, 0x68cf7171, 0xfa3a6d32, 0xae48a986, 0x83822b23, 0xe628f7b2, 0x39f03aff,
+    0xd9851072, 0xc0f31498, 0x4252eda7, 0x004100c8, 0x567cf8de, 0xb6de792e, 0x7888cac9, 0x66ac081f,
+    0x22c91206, 0xd7c1fcd8, 0xd61f0c21, 0x1360d0e4, 0x2f537202, 0x88d9ff56, 0x03635350, 0xb313f2fa,
+    0xd92b1cfb, 0x15e398f7, 0x2a33e4b1, 0x77c0f9eb, 0x4067f3ac, 0x77535f34, 0xb5eb8b7e, 0xd17f71ef,
+    0xff37286e, 0x49f5f6b0, 0x4df8b9a5, 0xa75e8246, 0x9c2a1a96, 0x06d53596, 0xe8bbb265, 0x5e8c2e48,
+    0xbedabcdf, 0x42fe1140, 0x47be63e0, 0x7d1770b3, 0x3ed1877d, 0xee6b8458, 0xf62c8af5, 0x67a1516f,
+    0x22debbe5, 0x2a8a2e01, 0x6ddd7913, 0xbc440fcf, 0x57732207, 0xe166118f, 0x682f1d4c, 0x0bba710c,
+    0xab70fda9, 0x6c28a120, 0xd81a0341, 0xdd1d6309, 0xcc0eb25f, 0x5f155739, 0xe822372e, 0x683a6da1,
+    0x01acad16, 0xbcbf7438, 0x3613ffa9, 0x0a072f8d, 0x6263e6d7, 0xa7415dae, 0xc0045409, 0x80341659,
+    0xcb293131, 0x6eec1a58, 0x509e1d71, 0x31f230a0, 0x3965498c, 0x63469a54, 0x71b154eb, 0xdd8c91d6,
+    0x97b583b2, 0x243ad5d5, 0x71c23d31, 0x9c865694, 0xaf982cbe, 0x2b61c28b, 0x5ea17482, 0xe480bcc3,
+    0xbbfe5f54, 0x23e3dd0e, 0x3f474d63, 0x1d90f23f, 0xb02ecdd1, 0xacf700ce, 0x33647ef1, 0x9a9b0dba,
+    0x4ad164c6, 0x469b9a8d, 0x67d54045, 0x8f67653a, 0x938f55cb, 0xe48ab5dd, 0x51d6f262, 0x0f7f8e84,
+    0x94ae535a, 0xf21ccdc1, 0x435b5162, 0x2bf5b340, 0x1be1233d, 0xb9f77f4e, 0x9b92fb2b, 0x9ad1fe7a,
+    0x6162d592, 0xf6be012e, 0x15befc4d, 0x2f549f8f, 0x914635fb, 0xc8ae8ff5, 0xa4b8fb2a, 0x1830e69f,
+    0xce4750bd, 0x129d8099, 0x48674aac, 0xff4f1935, 0x3c729519, 0x29f3a80a, 0xd096c3eb, 0x1718200e,
+    0xa0f3301c, 0x863a8fd4, 0x6d63ee32, 0x9210db52, 0x746ba134, 0xbd28887c, 0x5820f1cd, 0xd25cfb86,
+    0x4c528e18, 0xd4e2e7a8, 0x2d8f29d4, 0xfac15d09, 0xb361eabb, 0xbd7fd649, 0xf0ff5b49, 0x78d3d89a,
+    0x7e2f4cb6, 0xa9bf2f62, 0xe0fa029a, 0xcf929b02, 0x86699642, 0x64752fff, 0x008d4cc7, 0x7e971bf4,
+    0x41289a33, 0xe54ca5ca, 0x09944325, 0xc16bde0f, 0xf289de4a, 0x5fc8ee92, 0x57bada38, 0x12bbad9d,
+    0x56931e33, 0x7be847ca, 0x2f68501b, 0x4058d660, 0x53c85cd4, 0xeb9755c1, 0x17d6ffe6, 0xc06afea6,
+    0xecec9b6a, 0xf6dcad75, 0xef821539, 0x40a64484, 0x2c469625, 0xede0fa9e, 0x4692902a, 0x813b5774,
+    0x08d3894e, 0xd6e61c16, 0x59bf7266, 0x872177c0, 0x71d7c9bc, 0x84d93b4c, 0xf27a355f, 0x6e23bb0f,
+    0x98ea4431, 0xf292077b, 0xb8c58571, 0xccd1a845, 0xa106c94f, 0x77ceb1e7, 0x03ce5b95, 0xf239e547,
+    0x54538d1a, 0x2a6ea632, 0x1c2243c6, 0x6698b976, 0x2852380a, 0xcb91d0e1, 0xcff3d89d, 0x42c372ae,
+    0xd1e3a773, 0x8a34b6fd, 0xe4477349, 0xbe7cf1aa, 0x0184cb0a, 0x25d531dd, 0x87b03823, 0xaf8adf2f,
+    0xdfadc146, 0x7594e5bc, 0x70fc9c9b, 0xe2fdd06b, 0xd7fa0467, 0x1c53d2ed, 0x3e0f2b38, 0xd28dfe33,
+    0x2372e998, 0x8d514baa, 0x7e0f0ff3, 0x0c4471ec, 0xb1c3e9a4, 0xd6daab21, 0x883a8520, 0x51d54db7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0056539106072908298546665520023773392506479484700019806659891398441363832832 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9254, 0xdfdf461d,
+    0x00000000,
+    0xc18ffcb5, 0x78418401, 0xc1afbbe6, 0xd6478ad5, 0xf3659f05, 0x4edc9bc2, 0x45163044, 0xf62142cf,
+    0x8e845e04, 0x98e058f2, 0x2cf0a546, 0x0428e213, 0x892fc45c, 0xb1328970, 0x83589622, 0xd45b99d8,
+    0x40e65367, 0xad75dfb2, 0xfdb51c36, 0x817fc537, 0xa81c71bf, 0xdfe52709, 0x97ea7fd2, 0x83dce82a,
+    0x03de3461, 0x92a7eeb1, 0xc559c9c0, 0x04a602f3, 0xc91fbe1c, 0xc7c87e36, 0x2488cef0, 0xc126ccd1,
+    0x514eb13b, 0x2f40fc7c, 0xb15032a6, 0x8e2b5714, 0x2b9d0755, 0x999476d8, 0x22248e4c, 0xe7500902,
+    0x9a20d23b, 0x1f747ad5, 0xa9162de5, 0x81a9acaa, 0xc410ce9b, 0x9e8f934a, 0xa4c6e2a7, 0xe745226c,
+    0xcd007af0, 0x88145a7d, 0x41c05482, 0x9583822d, 0x455ccd7d, 0x91b04d3b, 0x4b5ab613, 0x486be5f0,
+    0xcda99a69, 0x8389f38f, 0x1099096d, 0x9e652e14, 0x22905c34, 0xbd6f71ec, 0x63d8f4bf, 0xdd22c23a,
+    0xe9f9a200, 0x2f8e88de, 0xde45e2d5, 0xba55135a, 0xdf6899fd, 0x28ad9a16, 0x3f3023ca, 0xe12fac4e,
+    0x38ed4d68, 0x53caa21f, 0xe6ae0fbd, 0x215a9ca5, 0x0122809a, 0xaaf62d0a, 0x1955f099, 0xc89814b2,
+    0xf92337bc, 0xd9bf0fe9, 0xc7133199, 0xc028d64c, 0x9c350b2f, 0x67c0ba78, 0x66438f41, 0x95eeaf3d,
+    0x5f3dbd47, 0x3a781d62, 0x65298d26, 0x5fdea46b, 0xebf2c6ee, 0x846bb126, 0x6edfec1b, 0x18ea1fb1,
+    0xd6427300, 0x4cb81e63, 0xec358d98, 0xfee44190, 0xe8ac1189, 0x59c957fd, 0x9cb0efdf, 0xde03ce2a,
+    0x1751c283, 0x54377f7d, 0xc450c3a4, 0xc9d8e8fc, 0x0ced5757, 0x1ba2be46, 0x677ff2e9, 0x33d4aadc,
+    0x0a8622b0, 0xac4616ed, 0x5d513e9e, 0xe5fe8d2b, 0xf0433ced, 0x3b50030d, 0xeb14e759, 0xdc720a36,
+    0xd3f1460c, 0xdd4ef5ae, 0x199cec5e, 0x86dbdd4b, 0x541ae62b, 0xb5dbe7ec, 0x7e9906fb, 0xfe0259d7,
+    0xe3d3ef7a, 0xdcf5957b, 0x62f07e65, 0x165b288f, 0xb25ad754, 0x3fcc50e9, 0x3962193a, 0x2c3228c3,
+    0xe8bb4f3b, 0x37b9738e, 0xfd1f8047, 0x3f8f7027, 0xb266eb42, 0xa1da496d, 0x0f898168, 0xf7d17a87,
+    0x48ebc779, 0xd6252fe5, 0x8b487a4b, 0x8ce5f105, 0xba423058, 0x690785d5, 0x0531e7e3, 0x2a920af0,
+    0x29a9fb4d, 0xab01a83e, 0xaa5c57cf, 0x1c05438f, 0x0dec6111, 0x6f0b9f2e, 0x66261201, 0x4b19423a,
+    0xcd8d1d02, 0x7b3d26c9, 0x20a3cf3e, 0x4592e8d3, 0x3d88245d, 0x6e53cc5c, 0xe7714fe1, 0xf1ca14c5,
+    0x529c1caa, 0xb809d529, 0x1c96b106, 0xd0bf38e3, 0x65bab5f4, 0xf55a6759, 0x5dd7833d, 0x90ef0d7f,
+    0x7261d51a, 0x50f61cd6, 0x9599c1ed, 0xab8bac2c, 0xa723dc5e, 0xc2ffa487, 0x3a4c6436, 0x88e7129d,
+    0xd48990a3, 0x577a7322, 0x27493052, 0x76142514, 0x1aa7f074, 0x3c6a8a71, 0xf1ce91fe, 0xa024f116,
+    0x2543dc6a, 0x1b654a52, 0x39a34f51, 0xfa9fcfd3, 0xf4fa26cc, 0xbb5faac2, 0xc723eb04, 0xb0bfd5e0,
+    0x5b656073, 0xeca217b0, 0xdcf657c3, 0x019f019b, 0x114e3a57, 0xde152102, 0x09caf6f9, 0x6bacd3f7,
+    0x3bef72e7, 0x367a9a6d, 0x9061e82e, 0x8622c773, 0xa9f07655, 0xbf194a08, 0x78ecdad6, 0x3e6fb03c,
+    0x7e959807, 0xae71c78e, 0xda60bca4, 0x1f572222, 0x846e7ca3, 0x92aa2e45, 0x59d98c3d, 0x2c3a2621,
+    0xc02bf6d8, 0x08fa97bd, 0xde76def7, 0xf80d519c, 0xb2302967, 0xef51b988, 0x778cce97, 0xf8efa56c,
+    0xb9c4540f, 0x0d418bc5, 0xd73f970d, 0xbdd278d5, 0x109a7457, 0x31e0da22, 0xc57b737e, 0x8840890e,
+    0x4d027c0d, 0x8cacf5ad, 0x198bf4e2, 0x50e9f5ba, 0x84f10463, 0xe749135b, 0xdc91c992, 0x00eefa04,
+    0xc908d9bd, 0x94c81850, 0x2563ca39, 0x59021be4, 0xec52d37b, 0x199be9f5, 0xf2baa92b, 0xc9732351,
+    0x50289399, 0xd2ef9b87, 0x1748b889, 0x74f4c270, 0xf0ee08f2, 0xcf6346e7, 0xefb782c0, 0xa16021fb,
+    0x87861463, 0x300d4393, 0xcb281c42, 0xfb3cf7f3, 0x708b2e4d, 0xe7ad0d09, 0x339024ee, 0x151c92cc,
+    0x1c034ea7, 0x80d1a7a7, 0xf5a00e5c, 0x2bff7904, 0x7640ce7a, 0x60f4ac6b, 0xdd6067c4, 0x6093c74c,
+    0x82698a1e, 0x27557111, 0xb29a94bd, 0x4df111ed, 0x4f0d0447, 0xbfd73b1c, 0xc8dafe04, 0xb264ec71,
+    0x70d97802, 0x5c74b6ec, 0xf2eb06d0, 0x79678d67, 0x8cbc1fe5, 0x6f35a5c9, 0x20ebab70, 0xa99d352b,
+    0x29b24e38, 0x84d85bcf, 0xced33b34, 0xddd9e476, 0xf6dd664f, 0xb7578e1d, 0x4ff9d522, 0x9c63f8a8,
+    0x99737165, 0x5ec411db, 0x774fd538, 0x867814a7, 0x1c749bb9, 0xeb1bc1df, 0x1eb2f6c1, 0x5e0704eb,
+    0xedbf7f2a, 0x7bfbee56, 0xd48b943b, 0x91f1fe7e, 0x4d99f3e6, 0x16c50e7a, 0x01cf2e18, 0x1817f751,
+    0xdd11fe35, 0x5488c8bb, 0x533759e7, 0xa979a6db, 0x91f04341, 0x09f6a491, 0x193376a7, 0x0fde033a,
+    0x2e50140b, 0x40752aaf, 0x2343cfd1, 0x76a08a44, 0xff13d484, 0x82a49bde, 0x0a4e379d, 0x0b4dfa85,
+    0x74665c35, 0xa6f77869, 0xc9fc78b7, 0xfb710b0c, 0x08dc8d02, 0xd7ceb48a, 0x5d3f1f98, 0xe4f08ee4,
+    0x4d0e0de7, 0x1cadb54a, 0xe4d98895, 0x716e77fc, 0x815c517d, 0x405fc17e, 0x905f62da, 0xf867f506,
+    0xacdac1d2, 0xd0788db4, 0x1818c0d6, 0x53de063a, 0xea0748b8, 0x2cd78fdb, 0x64d1a53e, 0x4335360f,
+    0x67f44103, 0xceddef0a, 0x00f35752, 0x5bb9e549, 0x7b84ab57, 0x2c1f0e1b, 0x9c911ac5, 0x263892d6,
+    0x6ac8b9bf, 0x2e0f0740, 0xb14f5901, 0xdd759ab5, 0xfa6f2659, 0xbaecf8c4, 0xc064d78b, 0xd624ac3d,
+    0x848119f1, 0xf0fc27ec, 0x32d675f6, 0x47bfd8cd, 0x30af9ef3, 0x5390e05a, 0x622ddcdc, 0xa9ebf212,
+    0xbe7391fa, 0xb7b5f9f1, 0xd3a29d1f, 0x40ec81e6, 0xdb5efdf0, 0x537997b7, 0x22b5d5c0, 0xd9086fe5,
+    0xbaba6ae3, 0xd07ebd11, 0x15acc3ff, 0x72bc0d3d, 0x156e2882, 0xcc3093e7, 0xb8e79110, 0x7b4cb4e0,
+    0x446b002d, 0xfce00a92, 0x4efe7fa4, 0x3c243796, 0x75bae89b, 0xa5f13e50, 0x5d724067, 0x1472a804,
+    0xd62c1dc5, 0xd8cc7fdb, 0x793db985, 0x30b951fc, 0xa76218ae, 0x1429525e, 0x0a0f8a18, 0x34626662,
+    0x9e53ff6d, 0x40af4621, 0xef8fe5c6, 0x7ecd2843, 0x83cdf343, 0x70a1e7ca, 0x917a2977, 0xd852942b,
+    0xbcdae5a8, 0xbc5906d8, 0xd5922ca7, 0x5315dd06, 0xe9b50a2b, 0x10756ebd, 0xa620051b, 0xe5e55772,
+    0x00d85761, 0xbbe58cbe, 0x4647fc9f, 0x2376f5a2, 0xa096a022, 0x070a0654, 0xf6829f6f, 0xcbc79797,
+    0xcbe870a3, 0x5cb5c48d, 0x43f5d37c, 0xd9a1d029, 0xd5c5ae31, 0xc56cfaa0, 0x63fa07e6, 0x595b6fd1,
+    0xbaed5c26, 0xa6e01aef, 0xeb80c4e0, 0xe0fbf226, 0x180a2fed, 0x15f35d62, 0x54883469, 0x1409d08e,
+    0xc9e8b030, 0xe0345e67, 0x3fd48396, 0x4a664794, 0xdbbae704, 0x437410d9, 0xedf8fdec, 0xb47b1581,
+    0x10ac0553, 0x7a967f38, 0xe0c51bce, 0x83a5b710, 0xe6ba09a4, 0xa178e8a7, 0x8b8d0ee9, 0x8dc29db0,
+    0xca24891f, 0x89f558a2, 0xee637234, 0x0d920cfb, 0x366b6a97, 0x6c6e9362, 0x9c295d65, 0x3f60a898,
+    0xf86e3c5b, 0x9b3eb650, 0x8adcb1aa, 0x2753894a, 0x10c1fd54, 0xbbe4b7b5, 0xb57b5913, 0x7b4911cd,
+    0x81ed21b3, 0x9ffea2c8, 0xcf3c5c19, 0x238b27da, 0xab443fa7, 0xd32db56e, 0x9c347513, 0xe52fdd07,
+    0x70b7599e, 0xc84e9946, 0x5a48f7fd, 0xe9bd03cf, 0xdb307143, 0x34dcac81, 0x7cc50f03, 0x6077afd9,
+    0xb816adde, 0x32b93034, 0x7f8afd5b, 0x5e708bdf, 0x195e4910, 0x7ba634fa, 0x5f507f7c, 0xa345a45f,
+    0x835aa814, 0x1f7e8317, 0x132897ca, 0xcddf40c1, 0x8fe05fec, 0x37285b6c, 0x49c9c0bd, 0xc9f00e08,
+    0xc37ceb22, 0x60376bb8, 0x885bcdd4, 0x4655d35f, 0xd457adac, 0x66e2b805, 0x738fd163, 0x1f5b9af1,
+    0x64684001, 0x8108b1a2, 0xd0a7578f, 0x5a0f1b56, 0x3e5fcdaa, 0x9984a669, 0x074f50a1, 0xec5d1bd3,
+    0x07dcc92f, 0x956ef00c, 0x47d3fd36, 0xb7f7ad61, 0x1cd88ecd, 0x17ccd60f, 0x3daeafea, 0xe9150fa2,
+    0x519d4f5c, 0xbc44b719, 0x4511afa1, 0x1a9356f8, 0x4b9f9dfa, 0xba920e39, 0xe05add61, 0xc19377bb,
+    0xefa62bd5, 0x4f6fe7a8, 0x581400e8, 0x54c62f75, 0xf1f540f9, 0xa63e38ca, 0x79c83deb, 0x1bc95bb2,
+    0x2ca3f6d9, 0x24f69433, 0xfcb4701d, 0x5efb9502, 0xbcb70c2e, 0xdd749dcf, 0x792744b2, 0x94f3cc04,
+    0xabfe48a0, 0x3f6b9449, 0x81129f8a, 0x0f7c96af, 0x01c4a072, 0x7252ab24, 0xec8a1b87, 0x4c37efa4,
+    0x59ef351f, 0x8629ae3c, 0x926b934b, 0x240dacd2, 0xb2dbe3d0, 0xd4f0bce9, 0x1f44a664, 0x3f5e2ca3,
+    0x902df275, 0x785d791d, 0xbcb4b906, 0x92f47102, 0x2dda3a0f, 0x5defcbb7, 0x50a174dc, 0x455b41ab,
+    0x43ca62a1, 0x7bc4d0de, 0x583c5016, 0x8454f467, 0x4a46f7e6, 0x67dda79a, 0x880f4991, 0x8b94ef9a,
+    0xfa53b882, 0x7429401c, 0x2618ed34, 0x55b68e10, 0xfe706262, 0xea7dda8c, 0x911a0011, 0xbde12e1e,
+    0x77ddaa7b, 0x1793d5dd, 0xbc831863, 0x4f5eafd6, 0x8d404ebd, 0xd19f68f4, 0x92ca4888, 0x92e42977,
+    0x64d904c2, 0xcf58765e, 0x9130f016, 0x483a0b1d, 0x2b5ad19f, 0x8899c56c, 0x762e0b7f, 0x83266dd2,
+    0xa4a6d557, 0x07d4889a, 0x653bfde4, 0xcd2a4f03, 0xaf3c56b6, 0xbea8257a, 0xa8d60e11, 0x525009e3,
+    0x84fa9548, 0xe746f567, 0x56df5247, 0xc07210c1, 0xb02d15b0, 0xe29bf133, 0x0ffb94d7, 0xc08cd587,
+    0xf1fc9c0a, 0xd1670637, 0xdaf937ef, 0x72b158d7, 0x8e1e6375, 0xf403c664, 0xcf684d1d, 0x39e7d0da,
+    0x6426ba32, 0xe9dd6804, 0xfd3cfc4e, 0x98367eb6, 0x250778df, 0x17844062, 0x783e92a9, 0x02b4e259,
+    0xc8f73405, 0xffc34608, 0xb030b0bc, 0x39d91cd4, 0xed3b80b5, 0x6b47c730, 0x05fa8de8, 0xf38617ac,
+    0x50c43858, 0x12e08d82, 0x7e507097, 0xa77690eb, 0x05c13272, 0x8b924800, 0x25b9d59a, 0xb91f0764,
+    0x42f69ab1, 0x061186c2, 0x4a0c1d02, 0x8346b955, 0x35bdad0f, 0x8a331aab, 0x98b2e37e, 0x242ba162,
+    0xa807b0db, 0x26150035, 0xad6d0900, 0x4cb89d5c, 0x980d3d33, 0xba424690, 0xf65ac367, 0x849ff1c4,
+    0xc146985d, 0xeb94db9b, 0x3bb86a91, 0x7464fc89, 0xaa3378bf, 0xf831b877, 0x4b83736b, 0xffa895f4,
+    0xfa1dfcf1, 0x4e103c81, 0x6a851ef3, 0x6bbc34e7, 0x1599b563, 0x73d7e14a, 0xcc1712b2, 0x55fa32dd,
+    0x794671e9, 0x3b3f16b2, 0xbd3b49e5, 0x085548c7, 0x615bc6d5, 0x69497e00, 0x47a75788, 0x48c4445d,
+    0xfb2f9bb8, 0x8c6ef131, 0x53f19fa5, 0x6978b4f8, 0xc7e4543e, 0x141efcce, 0x93d3b0be, 0xf1218315,
+    0x726a5e82, 0xcf6deb8d, 0x118745d9, 0xc4eb1850, 0x1f286a35, 0x09b5a05a, 0xf6be366f, 0xdd0f8d9b,
+    0x9f196874, 0x87c4a90d, 0xc8f7adc4, 0x0ebdf976, 0xff10e186, 0x9b5e3865, 0x34c4051d, 0xcb84cf30,
+    0xccde3149, 0xe28589a1, 0x5a0fa760, 0xf9ffb776, 0xf38613a7, 0x6b9d7072, 0x17ae0008, 0x031de5af,
+    0x254a754f, 0xcd1582fe, 0x2439588b, 0x6c0db352, 0x728bd32b, 0xf1b14f32, 0xbef41bf3, 0xe301d109,
+    0xf34f4805, 0x03527e7e, 0x48e4ba74, 0xf2612e9f, 0xc497c4fc, 0xcdfb5747, 0x6fbbd9a3, 0xeee7d0e9,
+    0x84dcba16, 0xea572868, 0xf867b277, 0xb4ab1b9c, 0xa135efd7, 0x4043e94f, 0x82df02c3, 0x6c1ee36e,
+    0x8eb36608, 0xaae36867, 0x185ad454, 0x45d9fb7d, 0x89fc9a96, 0xd5a1c631, 0xb4073187, 0x3157cd26,
+    0xaff374ad, 0x2d74be90, 0xcbd89dae, 0x2e817cbf, 0xd2ac8528, 0x58258147, 0x831c1647, 0xa990b871,
+    0xe08a6532, 0xee3156ff, 0x12b39916, 0x109ec8c1, 0x965a2920, 0xcd865d7b, 0x42d162d4, 0x9a2d06b9,
+    0xee423eda, 0xc34c436f, 0x18a84059, 0xec49af5d, 0x41c51bfb, 0x40ccd3dc, 0xab72e01e, 0x4eefd3f5,
+    0x74bed7a5, 0xfc460419, 0xb66665aa, 0x1550f673, 0xab8a581f, 0xdadd4dba, 0x81edbbf6, 0x38a14e23,
+    0x2ad49065, 0x8c39d26f, 0x829984aa, 0x96d9f1f7, 0x9f480b78, 0xa7a56ab8, 0x736a8e9e, 0xd61d5e18,
+    0xc1cb37ad, 0x32d5409d, 0xd13147fa, 0x0cc3eed1, 0x60a9b260, 0x71cfc665, 0xb1a1bbb4, 0x2ad95896,
+    0x52538855, 0x2adb3411, 0x58216b36, 0x263fbb79, 0xfd47a8ca, 0xc7a5ae20, 0xfdcf5bf8, 0xd5a9f447,
+    0x45ae2c1b, 0x1a3fd10d, 0x48aab6f5, 0x59acd25d, 0x13b23f1b, 0xbd80f96d, 0xc3e1bb1d, 0x1e1bbcbc,
+    0xe2a21852, 0x1babbdda, 0x04e49c60, 0x5d91f80c, 0x6054bbbc, 0x0057e20f, 0x47d7b8ca, 0xe9cf0c91,
+    0xd6e49c7f, 0x2852874a, 0x89fd00db, 0x14fa367b, 0xc16eb42f, 0xb20ef422, 0xe9619162, 0x333e97a2,
+    0x448a9639, 0x193f83be, 0x9d133cf9, 0xcf9cf97b, 0xd9e2cdff, 0xff7c1ed1, 0x7853f02a, 0x88a5c681,
+    0xc835ebd9, 0x08262e34, 0xc1ead609, 0x6a7b704b, 0x18712052, 0xe799bbf6, 0x3f222773, 0xf901b42a,
+    0x887a77c6, 0x1e906142, 0xb56f52e6, 0x7ec708be, 0xdc792ccd, 0xb917fa4a, 0xa50ca681, 0xb6b378f5,
+    0x2fc70f24, 0xa38a513b, 0xa84e701c, 0x8a085f1b, 0xd71d4f69, 0x638193d3, 0xfef412cc, 0x932383ee,
+    0x30a828b8, 0x7584b555, 0x0eb7b0dc, 0x33feb91b, 0xea7206a8, 0xf6e7183a, 0xd07d715e, 0x97484042,
+    0x140bf22e, 0xaa4585ab, 0xcac153ae, 0x08c98a8d, 0xbddd188b, 0x135e9d29, 0x74ce2e5e, 0x3628cbdf,
+    0x641bbc50, 0xae9c38d1, 0x0c6c6590, 0x7021abd7, 0x8915a3c9, 0x80300138, 0xd0d38b49, 0x9a3e08e6,
+    0xcc794b50, 0x288a7fc9, 0x39298b17, 0x69d83686, 0x7d657d87, 0x7dd01253, 0x7c97c0a5, 0xd145d493,
+    0x6c8ac1e7, 0x2c88e5c7, 0xf48f03c4, 0xcce6d56e, 0x5b58e640, 0x715d311d, 0xee024295, 0xb7a2b62f,
+    0xb29b5504, 0x81f453be, 0x0eb84824, 0xffac496d, 0xf3381930, 0x525099ff, 0x92727ad6, 0xa2330be9,
+    0x40dc797c, 0x927fba2d, 0x3c23dc2f, 0x94591733, 0xfda763ba, 0xd686b858, 0x48604c32, 0x227cd53b,
+    0xc133ad63, 0xbff54569, 0x14f482e1, 0x04a87d91, 0xbcc240fe, 0x3f6fc44f, 0xd9bd8607, 0xebcb2476,
+    0x6e9ce840, 0xa12dce39, 0x919721b3, 0xee841e11, 0x2dfa32c1, 0x976c2cf3, 0x69038d1f, 0x46967a3d,
+    0xb1049914, 0xf38bd78e, 0x9f1bffc6, 0xc395c4f0, 0x3f5b6db5, 0x8348425a, 0x005ce0af, 0xfdb3862b,
+    0x24333a80, 0xec5dc3e2, 0xe513a1c6, 0x26d0b805, 0x9e160147, 0x56ac660d, 0x55d450e9, 0x293e811c,
+    0x7c6569e6, 0xdc21e56d, 0xf3b11604, 0x7df9e20f, 0xc5b4958e, 0x196aeb7b, 0x962dd728, 0x1fb1d6fd,
+    0x2be16d90, 0x77187c70, 0x298cab40, 0xbe3eb325, 0x0409abaa, 0xcd080266, 0x959b2d32, 0x4e7753fd,
+    0x31447630, 0x626aef46, 0x624235c6, 0x80a06bd4, 0xc013dcbc, 0x8a7d4ba1, 0x9316eee5, 0xd76a70cc,
+    0xecb47621, 0x40f976c8, 0xc645232d, 0x6f2d200f, 0xed2cafe9, 0xb3461c7d, 0x840ab64b, 0xa1c206e2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0028269553036454149273332760011886696253239742350009903329945699220681916416 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc92a, 0x6fefa30e,
+    0x00000000,
+    0x9d676734, 0x9b0f2c32, 0x56fb230f, 0x2d84ec6a, 0x4a741d0b, 0x34ed36b9, 0x169304a2, 0xada8cd43,
+    0x930b0457, 0xd17d938c, 0x43dfdfbb, 0x5cc490b5, 0x54275e87, 0x4f78c623, 0x3a66ca7c, 0xbd5ea420,
+    0x7709a210, 0x8e1f3de7, 0x4ecd8f5d, 0x61b04ca9, 0x5007c513, 0xfcac9874, 0x2a96b161, 0x8a8eb8f1,
+    0x39690457, 0xd6d8e82e, 0x32d0744f, 0x13465293, 0x623a76db, 0x9e577b65, 0x02c026be, 0x9c58a1e9,
+    0x23bf952d, 0xfd0e10b0, 0x8731580c, 0xaeea70a0, 0x12e9cf75, 0x05ea8b74, 0xe2e26d0c, 0x0207e2bf,
+    0x4e05d3ac, 0xa580533d, 0x21722c39, 0x3f79af27, 0x505bae1f, 0x8ce10465, 0x890d17b9, 0x1498c0b6,
+    0xe6d403ec, 0xf95b9dff, 0x9839af15, 0x2f1006af, 0xaad6d1c1, 0xfd58c483, 0x5fa7a694, 0x6c318977,
+    0xa153a121, 0x42710661, 0x30e65523, 0xcb446878, 0x17a059f0, 0x69052cd2, 0x58db1e19, 0x0a3ba3c5,
+    0x2d3217ff, 0x0b647496, 0xfd22ae47, 0xeb3983ee, 0x699be69f, 0x57063fb2, 0xb732c9bd, 0xde8121b3,
+    0xff766f03, 0x378d1598, 0x9a5fc88e, 0xe06d58e1, 0xad65f090, 0x60640350, 0x68d3bd03, 0xb3956028,
+    0x1c81fb5a, 0xc985dd4d, 0xde195518, 0xfdeb6caf, 0x7289a6de, 0xaeaec09b, 0xe9b926c3, 0x0e990707,
+    0x7d138c7f, 0xcefb0bcf, 0x572e824d, 0x04ccd90c, 0xb88e2329, 0x01b555a5, 0xf66c9854, 0x49c422c0,
+    0x1ae5d61d, 0x2a68c4a2, 0x62f6d94d, 0x4e756d6c, 0x3a0ce3be, 0x7f650065, 0x921f2380, 0x6370c0d5,
+    0x45f8765d, 0x5f1a0799, 0xc7b1f1c4, 0xed7aad1f, 0x71587c4f, 0xa0a10f82, 0x3b71c08a, 0xec0efc6a,
+    0x8c3390b3, 0x0aeeefc2, 0x87a4313c, 0xa1f15561, 0x15af81c7, 0x91ee9638, 0x8b93ffe2, 0x20eeff15,
+    0x5bd309ad, 0x36780293, 0xe5612d0c, 0xbe230186, 0x49b2f69c, 0x6d262822, 0x2af2201b, 0x7f8ac6a3,
+    0x8c13f510, 0x79f74448, 0xc40fc061, 0x35136703, 0xc494b792, 0xecf110b4, 0xf4b8f8f6, 0x030c85d8,
+    0x2beb4e7a, 0xf2f2dd1a, 0xbd9ee179, 0xcc0a5bc7, 0x9b6c80cc, 0x2985fce2, 0x3c1850dc, 0x97fecc63,
+    0xa7e000c7, 0x863cd24c, 0xf286f359, 0x0e16a90e, 0xdf171343, 0x1d1f1a74, 0x9fe5e4d7, 0x1356ddd8,
+    0xf2a5564b, 0x9d6c8158, 0x1f01dec8, 0x3450439e, 0x27cfdd35, 0x3dd98a86, 0xb0060340, 0xadbd53bb,
+    0x53202806, 0x8d878436, 0x28ea4bf6, 0x9d3ba5b9, 0x26d4bc1e, 0xca63db44, 0xffef4ba2, 0xfe25eb51,
+    0x261b33ee, 0x0daa617b, 0x5be2e896, 0xe942cca5, 0x5695e13f, 0x1dfabf56, 0xc7d5cbe5, 0xbaaceeb2,
+    0xb6bb6ebd, 0x9162fc13, 0x1a64dabf, 0x64770f2a, 0xef99d76c, 0x37faffd8, 0xada71e84, 0xd349970e,
+    0xfd897218, 0x92bafed9, 0x6ea7253f, 0x388b4598, 0x9b4e2d9c, 0xedfd2c63, 0x0536b468, 0xfb79b0c3,
+    0x97992fd0, 0x4d83d793, 0x71f0f681, 0x1fa73e4f, 0xe0433915, 0x27e61f3f, 0xc6968269, 0xd6615a5b,
+    0x7d9682e3, 0x88f67817, 0xfb20fa59, 0xe8922436, 0x64a0925c, 0x6fafc86a, 0x954cca89, 0x532562ba,
+    0x17e9a6ca, 0x425e63db, 0xb10719ef, 0xffa1ab1a, 0x5579618d, 0x2bf7fb8f, 0x89d1966d, 0x5f924630,
+    0xc7aacc39, 0x488f9e03, 0xb418b1bb, 0x0422d23b, 0x2e3f3db3, 0xcb41a9ca, 0x183a8d3c, 0x140d5625,
+    0xa53c6aa6, 0xa00555ee, 0x871be701, 0xf9c20a24, 0x15f2f645, 0x601ddfda, 0x6fda6c53, 0xb6ea1bef,
+    0x41997fab, 0xc742e598, 0xde61f636, 0x62623f50, 0x902825a1, 0x9500f081, 0x39322ebd, 0x2eae31a3,
+    0x8329c859, 0xfbb6a815, 0xfa876995, 0x1b564963, 0x2bc8d637, 0xf1f03aa7, 0x2737d945, 0x4c045d17,
+    0xb624ad24, 0x9fc0011a, 0xf511ba89, 0xafdf5423, 0x732e7035, 0x62b7be26, 0xaf35cafb, 0x6889a5b5,
+    0xe92c2cd8, 0xacf3489e, 0x7e041dfa, 0x094b8812, 0x6b92a922, 0x24ca747f, 0xf884ce09, 0x1ac74e69,
+    0x3992057a, 0xfa787b68, 0x10a3fbe6, 0x527d2a5c, 0x2203e3a4, 0xa32e724a, 0xa838a91d, 0x3f9cb01f,
+    0xb1e1ce7d, 0x88336481, 0x4b7b62f8, 0xa0839892, 0x30e4d948, 0xa2e65664, 0xefac77a7, 0x795fd68e,
+    0xeaf774c6, 0xfdfe94e8, 0x8796de07, 0x556b3dc4, 0x0d073fd1, 0x044a346b, 0x33946d59, 0x66df121c,
+    0xae3a8506, 0x7e11b6ee, 0xedb40406, 0x973debc2, 0x2ac1527d, 0x0e612dd2, 0x03c3d1b3, 0x596fa9a4,
+    0xf54cfd8d, 0xe49ffcb3, 0xc2051804, 0x2357b3df, 0x84a34baf, 0xace42925, 0x6aa9c3c0, 0x313b2a46,
+    0xa80aff73, 0x8bab5e83, 0x7f34e899, 0x8186812f, 0xa7248c17, 0x70eaa7f2, 0xfd178fcb, 0x538fc41d,
+    0x894c41fb, 0x4db14132, 0xd175434e, 0x75de232b, 0x14aeb004, 0xc8d2273b, 0xbce0e16c, 0xbe168fcc,
+    0xca5464f7, 0xa77fd43e, 0x19cc52e2, 0x2ab4d13c, 0xedf1dfe8, 0x7795ec41, 0x17a72f6b, 0xb52cc353,
+    0x3c9119f4, 0x91a46eb8, 0x43613a77, 0xa77ad1a7, 0x0e068809, 0x8a9030fa, 0x81b4daa9, 0x3bbb5d31,
+    0x5881d2db, 0x63001453, 0x63edb281, 0x47fb6d86, 0x65c4f4bc, 0x854083ed, 0xb7d210b0, 0x93a1687a,
+    0xb69ec49f, 0x5ba3bbff, 0x24d22f74, 0xdc81d0ff, 0x641315db, 0xb90fa343, 0xe2c58218, 0xf188f1d5,
+    0xde30f33f, 0x7e83e446, 0x92ab7ffd, 0x0074778f, 0x209776f9, 0xbf71e44a, 0x628d2a89, 0x814b2bbb,
+    0x761b96f6, 0x32d02bc8, 0x3422a7a8, 0xf1c98d62, 0x36c982dc, 0x3746800e, 0x7affa529, 0xf862ebd2,
+    0x29ac25ad, 0xde2211a1, 0xda759192, 0x858bc7d3, 0xc5af8a66, 0x268f9497, 0x24eabafe, 0x3340ab58,
+    0x0f6c19a2, 0x4c95fac7, 0x4e4ec535, 0x5f5c1abd, 0x6a6881d9, 0x928132e9, 0x28e602c2, 0xe6d67d50,
+    0x84ed03bd, 0x28f0cfed, 0x18d05516, 0xddb02910, 0xcb9cb494, 0x1d7ad991, 0xfeac8149, 0x8ff36fdd,
+    0x3a1ee5c6, 0x8391c2e6, 0x924992ad, 0x13d81eef, 0xfa297d9a, 0xccc676f0, 0xa1d828f2, 0x6e64aa5d,
+    0x92dae32c, 0xcbe288d8, 0xfff931ef, 0x1cf356d6, 0xf63f0356, 0xd98a94f9, 0x391bd3e4, 0xca9866d9,
+    0xa8cd60a7, 0xee23604a, 0x19fe8ce0, 0x4e9ab505, 0x4fc2911a, 0x319db807, 0x9fa18617, 0x52280ede,
+    0x3eb33994, 0x786f7837, 0x1be57ad6, 0x2b365241, 0x63263001, 0x51e1e502, 0xaf6318ee, 0x98ad7223,
+    0x1d8c1c0f, 0xae82069e, 0x10def2ec, 0xd03eb6b1, 0x84969307, 0x42f50c2b, 0xe7d818df, 0x50a7c8f5,
+    0x890284d9, 0x972ae58f, 0xd7b77901, 0x1e4900df, 0xd301b40c, 0xe4da76d3, 0x8c9048ae, 0x4a631d13,
+    0x5f4b71d2, 0xba7638d4, 0x321cab3a, 0xe7bd66f0, 0x547efe84, 0x9b7fcd92, 0x5125ee2e, 0x07876459,
+    0xbd010931, 0x996433a5, 0x44ee0796, 0x0983d940, 0x03f48d46, 0x246ab4ce, 0xe20c9093, 0x7af75421,
+    0x62dbadcd, 0x5c8b7ee4, 0x51ef6b66, 0xde77a14f, 0x4f756259, 0xd9a79d3f, 0xea3abbb5, 0x028b06b0,
+    0x290900ef, 0x41e4f8ef, 0x2019c680, 0x68cb66f9, 0x4c024ae4, 0x4a44eebf, 0x786393eb, 0xe479def2,
+    0xdeb91ba4, 0x07a65f7e, 0x643af64a, 0xb1b639c2, 0x7ce77810, 0x01897664, 0x29d1fd1d, 0xcf1824f7,
+    0xe63e6184, 0x5d1877cc, 0x1dd996ef, 0x7f016f2a, 0x50e25db7, 0x0496b613, 0x457b7086, 0x7bc052a6,
+    0x2b4645ac, 0x680f706a, 0xfeb351f9, 0x1eeb903f, 0xd711d86b, 0x51e8e9d9, 0x9be0305e, 0x375c3354,
+    0xd0d90e54, 0xdd0da0b3, 0x1278a204, 0x7d4ccfee, 0x01b0ad8a, 0xe3a6e1fa, 0x35c397e4, 0x37f2799d,
+    0x9fe63093, 0xe7cdbdaa, 0x25775f76, 0x4938e3e7, 0xe4abc01b, 0x778d6335, 0x20b2bfeb, 0xe68d866b,
+    0xf1e4c6f1, 0xba1f93d0, 0x3d711d86, 0x983a2f0f, 0xab61f1ca, 0x1bbb4521, 0x03d1e788, 0xb1bb0e75,
+    0x1930595f, 0x478365dd, 0x8293d345, 0x72552568, 0x41e89fd7, 0x5318dbe1, 0xf625a240, 0x28746c1a,
+    0x4536a0be, 0xf91a79cb, 0xf9e45be9, 0xd89caefa, 0xe4c78abd, 0xbfc6d186, 0xfdc095be, 0x5f83d50c,
+    0x2279d7b2, 0xe8869413, 0x495cb4a4, 0xb9534bf8, 0x9cfa9c3f, 0x5dfc4b15, 0xdd0d487b, 0x55c06cfd,
+    0x8643e3ed, 0x5e5a4398, 0x7b71a68c, 0xbef17b0b, 0x515b8d4e, 0xac00eadd, 0xcb296159, 0x0214ec06,
+    0x77dfc398, 0xa76c3676, 0xd2445283, 0x10644ee7, 0x05a2467c, 0xe9d547c1, 0x34218ac5, 0xa6616472,
+    0x7842a5f5, 0xf91e018a, 0xfdc9ae02, 0x3063e3ea, 0xa48e081c, 0x9065fbc9, 0xa2b8d56e, 0x2b03f216,
+    0x805ea998, 0x7d3dcd73, 0xe4dd81ac, 0x8125e27a, 0x660361af, 0x6810edab, 0x123d8d47, 0x64eac9bd,
+    0x477ee0eb, 0xb0472485, 0x568b6996, 0xd0785bf8, 0xcec6d558, 0x19e28e34, 0x16023518, 0x82611d6b,
+    0xee9aa8fa, 0x9b172811, 0xcef633e9, 0xa74a4bf9, 0xdaf5856e, 0xe8588edb, 0x8baee823, 0xc397853a,
+    0xfadf57de, 0xef9c2f8c, 0x11de8633, 0x26a56cf1, 0xd7e664b0, 0x846bc4d3, 0x678a3b9d, 0xa014f6cf,
+    0xf900c36c, 0xe6e30e6d, 0x2cc46862, 0x159fa5f5, 0xaa6fe3b6, 0xed36949c, 0xcab4c78e, 0x0119026a,
+    0x98983277, 0x62168c96, 0xad6d27cc, 0x0d7c2f7d, 0x7eedda8f, 0x6297b50b, 0x0006939a, 0x5fe75a12,
+    0x4c9f371a, 0x8dec5595, 0xd5b1f8dc, 0x568531c9, 0x7ab82362, 0x2a2cf150, 0xfc6c1392, 0x1d104e7c,
+    0x32322216, 0xc43e21ed, 0xba9317fc, 0x0c16a883, 0xbfa682b5, 0xe9ecf371, 0xe1df31be, 0x73a4f56f,
+    0x6f3733a3, 0x7abce8e3, 0x0ba839fc, 0xc5421f90, 0xf87e753a, 0x44dd3df1, 0xeea71ded, 0x0c3f8e3c,
+    0xf9108555, 0xf62b2e4b, 0x49f678b7, 0x692c44ea, 0x59b62f18, 0x404ab1e2, 0xce5e2df4, 0x24ae9bab,
+    0xa2a94871, 0x6be2efd6, 0x0b944b67, 0xa78cf3a0, 0x587ee2b9, 0x7bb8900a, 0xc4a79d38, 0x80eeb7ee,
+    0x0f454341, 0x3436cf7b, 0xb7a3f97d, 0xbdb48476, 0xfed5799c, 0x51cbaf91, 0xad61d5b3, 0xca3923f6,
+    0x1cde78fc, 0xdbc637aa, 0xefe8271e, 0x0067bfc2, 0x1f5be493, 0x86aa97a3, 0x4ef67e1f, 0xf010aed7,
+    0x363c915e, 0xd635cbfa, 0x2f7adf77, 0x34130c8c, 0xbb09699e, 0xc5f4b82c, 0xa12c996d, 0x1500bfce,
+    0xfdd4afa1, 0xd8039c0f, 0x1afa810e, 0xad9a33ae, 0x37fa5433, 0xb7c8e69e, 0xc53968c4, 0x54c1df71,
+    0xc6ddaa24, 0x0bae2e63, 0x01c9cb14, 0x35fdf21a, 0x4e8297c2, 0xbc0e4749, 0x310531ef, 0xdc932167,
+    0x6a3592c2, 0xfa818192, 0x06c77ce7, 0x0dceeed5, 0x95e2de2c, 0x00cfc1b6, 0x2bd26b4c, 0x70a5c82e,
+    0xf3f0ab15, 0x9167f339, 0x6665ccd0, 0x7d87f4f3, 0x1d557e9e, 0xd0909c3e, 0x16e585b4, 0xf34fd1c2,
+    0x001d32d6, 0x8c0d0e2d, 0x77d51ed9, 0x179461ef, 0x42870f32, 0x84b9a0c5, 0xdd654851, 0x01ea8489,
+    0x9298ec12, 0xd1240a85, 0xb6b0fcc0, 0x2fe4cb51, 0xa73ccd72, 0xcfb112da, 0xec928e15, 0x97a1b009,
+    0xad522970, 0x5ce6c7c3, 0x188db7e1, 0x1f71efee, 0xcb0f75a8, 0x948db80d, 0x990c6198, 0xf75ee380,
+    0xa528b5a1, 0x40aff813, 0xcd7d3318, 0xc1117aa9, 0x0176770e, 0x1af0da16, 0x251045e7, 0x1a3cd4d0,
+    0x4c23d245, 0x23342b0a, 0x31f5dd0d, 0x026f4084, 0x0fc58740, 0xe0b27939, 0xd4b9d0fc, 0xe13c5b63,
+    0x75f2936d, 0xc37d6d3a, 0xf7662389, 0xe10641a6, 0x8159199c, 0xaf7ef7dc, 0x05de9882, 0x4f448695,
+    0xa6a434fa, 0x67924aa7, 0x96c5a77c, 0x7c65de81, 0x4d2e9b0a, 0x69cabb7a, 0xf95509bd, 0x1d5d366e,
+    0xc066e8d6, 0xe5932ea2, 0xffa27ecf, 0xd40a2d16, 0x9b289670, 0x560fcba6, 0xa3ef2fb4, 0x54acce92,
+    0xea6b2dbe, 0x5d01727a, 0x88182973, 0x626160d5, 0x37bf3327, 0x7e874bcf, 0x434ea03a, 0x9f1d44c3,
+    0x2cdb2086, 0xad261f2a, 0x7191fd72, 0x5429228d, 0x7e6c39ec, 0x9a056cac, 0x68384fd6, 0x1d75eb8e,
+    0xd2309c19, 0x84a1b215, 0xc7db0355, 0x836c5e30, 0x0c66a44a, 0x6b04a7d8, 0xa0430370, 0x8eb6cc58,
+    0x89e02944, 0xff124909, 0xf4754b23, 0xad3266a1, 0xb165dbd6, 0xa4432d6f, 0xcbbc954e, 0x67569d2d,
+    0x8739d9bc, 0xf99d0f4b, 0x8cd1a4df, 0x15af1b62, 0xd2b8eedd, 0x34534ecb, 0xd1ddf14e, 0x98d5bc27,
+    0x2c4df5f4, 0x0913e72c, 0x8925933c, 0x0d8cb77d, 0x69718a7c, 0x30054cee, 0x896b7fd9, 0x0fb7656d,
+    0x333c5099, 0x58da11c3, 0x13e89bc6, 0x1a9a2fb3, 0x58017b3b, 0xe718279b, 0x5026d933, 0x3999d5a4,
+    0x2c07d11e, 0x31c6650d, 0x762875f1, 0x42e5dbfd, 0x2e377309, 0x94e34c7a, 0x98cdb43b, 0x2d1e0301,
+    0xde3fd5c6, 0x2d54d83b, 0xe1a9bff6, 0x410ac303, 0x8bbdf0ce, 0x02803f66, 0xf8e4f3db, 0x162b6350,
+    0x5f1e0504, 0x5efae705, 0x9cd84532, 0xbcf7cad5, 0x3ee16f3b, 0xf9da0f30, 0x3f9f5cf0, 0x445c9fe0,
+    0xd570fb93, 0x2fc05ce5, 0xe50a07fd, 0x6f461705, 0x39867d64, 0xfbc645d9, 0x9431840d, 0x0442780b,
+    0x5e044297, 0x1f8e4d8a, 0x585e9aa4, 0x13b2ea41, 0xc55fcd29, 0xbfe75b66, 0x48143712, 0x1c531fdd,
+    0x7410ae76, 0xdbe08676, 0xf5b2a87f, 0x43519b2a, 0x11d004e4, 0xbb128552, 0x5d03e2c9, 0x8fa7e25d,
+    0xc91113dc, 0xc8f25ef7, 0xd8ea638c, 0xe8b17e26, 0x6dae2120, 0xac178bfe, 0x71218134, 0x351c2f98,
+    0xab37bf12, 0xe06e7692, 0x30f9be62, 0xa1df2423, 0x2ef0b7c8, 0x4b84bd8b, 0x6b3e2b1f, 0xc7d9064e,
+    0x84bc9187, 0x3bacd7cc, 0x6feba8be, 0x47612612, 0x1ea68d58, 0xbee665bf, 0x982fdcec, 0x5c74cce3,
+    0x5863436d, 0xc11a88df, 0x9ccda038, 0x8a856b37, 0xf302b200, 0xd2796107, 0x1805b85a, 0xc0cf8367,
+    0x85ca0d75, 0x4fdc02bf, 0x603073b4, 0x18081822, 0x71ca49e3, 0x87235338, 0x13595428, 0xb823f507,
+    0xabb01e5b, 0xcfc8599e, 0xaf10e656, 0xdacc695a, 0x7cb1fd46, 0x3860fc66, 0xf499a910, 0x5912826a,
+    0x43504da4, 0x36885b52, 0x59af68ba, 0x0881cbb9, 0xc8c2e34a, 0x68e1162f, 0x466fc17a, 0xfa508389,
+    0xb0e65c3c, 0xa6859d7c, 0xc55b4cbe, 0x0bcd3ae8, 0x5ce33672, 0x2f5dec66, 0x8cb5ccbe, 0xe686460f,
+    0x80731d89, 0xafd8f25f, 0x61fca9de, 0xe4b95420, 0x7ffbc2bb, 0x41fa876a, 0xf1ec3ccd, 0x1ffed5d1,
+    0xd5812f3b, 0x3fb4efd8, 0x61cf354f, 0x4a00b24b, 0xd6d1dbc9, 0xf9877633, 0x95ded9dd, 0x7042bb85,
+    0x68162285, 0x8f7ac0b0, 0x6646e52a, 0xcaee4c2f, 0x1aaccaa9, 0x813d0f48, 0x9f05a914, 0x71a9cb98,
+    0x0a2c0257, 0x51befb66, 0x51a5242d, 0x4b49aee7, 0xee0e8023, 0x35a9b04d, 0xeaa06544, 0xe767ce6f,
+    0x3f12af8f, 0x94feaa7a, 0xd31ef23f, 0xee6eb900, 0x44e4b391, 0x1ad93eb2, 0x6785fe58, 0x0322deca,
+    0x3c8e5dbd, 0x3db0123d, 0xb36138fb, 0x292a026b, 0x2830c1bc, 0x3f99d915, 0x6c09938c, 0xf3ba068e,
+    0xfdce12f5, 0x0ac8b044, 0x4b5fc843, 0xb8eddd25, 0x02585410, 0xf3db032c, 0x0936d1f0, 0xf9f8c80a,
+    0xb30b513f, 0x1012d397, 0xdb2e5669, 0x661041f3, 0x6d314251, 0x6ab42406, 0xc677b2c2, 0x65876f11,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0014134776518227074636666380005943348126619871175004951664972849610340958208 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e495, 0x37f7d186,
+    0x00000000,
+    0xc8bcb5d2, 0x976ee7a2, 0xe1b54862, 0xad6d4441, 0xc8b24393, 0xb0df48e7, 0x2d846c77, 0x11da5b1b,
+    0xe1cf7775, 0x0ad57f93, 0xe798df2b, 0x13e8c4fb, 0xe69232ef, 0xd917e0e1, 0x902a6f10, 0xcebda7f4,
+    0x5559f724, 0xe2923da3, 0x7fa0f4d7, 0x6edd45fc, 0x4f364da1, 0x625ed112, 0xd0da402e, 0x4f4e22b3,
+    0xf858af82, 0x51aa2711, 0x8fea3cb8, 0xde620269, 0x68613f44, 0xd87b09ff, 0x144322f4, 0x8c0f3fa7,
+    0xee227286, 0x051c5909, 0xf9b09880, 0xe0ba9858, 0x32295faf, 0xeff15240, 0x7d203801, 0xb4692230,
+    0x99574693, 0xd9223609, 0x7fbdafcd, 0x32d14563, 0x5706cfed, 0x0334a6a2, 0x649e5317, 0x05527f60,
+    0xb5a615ab, 0x981a0845, 0xa0ec1b12, 0x23fca81e, 0x0174b485, 0x4a870879, 0x41d3b64d, 0x5d450225,
+    0xdafe3300, 0x39c955b9, 0x41a92ce0, 0xdeb5ca97, 0x849b04b7, 0x342a5de5, 0x6a011924, 0x270e4ae5,
+    0x55752fc8, 0xf795e5e0, 0xb50b7959, 0x6d37b7aa, 0x941feb4b, 0xad94d2c8, 0x9e9cbaec, 0x27a91eec,
+    0x0d07386b, 0xfc0945fd, 0xf5430ab4, 0x625d800f, 0xd2e815f6, 0x34151478, 0x6ebc55ea, 0x8538bfb6,
+    0x6411895d, 0xf8722375, 0xc8e4d068, 0x0400eb64, 0x48c4f040, 0x60466530, 0x40d9a6d8, 0x1f240fa2,
+    0x2398ac46, 0x36f1cf29, 0x9ebbc180, 0x8ea54098, 0x81890b28, 0xa5fcb947, 0xdd4253f7, 0x5f71eae6,
+    0xd27da1d0, 0x02644cfa, 0x297db3cc, 0x7acdb2b4, 0xc6d078aa, 0xd2eec992, 0xc28f24bc, 0x90d980ad,
+    0xc9b2d8ca, 0x5f716270, 0x3267847a, 0xe5dc234c, 0x518fa240, 0x4a22067d, 0xdbe989c1, 0x4336225a,
+    0x768b4808, 0x8c95acda, 0xcf1591ef, 0x6bb15a71, 0x0b1ba9c7, 0x69888b3d, 0xd6078a0a, 0xd310a7dc,
+    0x80a2d7a3, 0x85e1fcee, 0x7e871db5, 0xaea49d19, 0x19ef6b93, 0xfb384d58, 0xf1bb1d4a, 0xb71557fd,
+    0xa867403a, 0x758bac03, 0x57dea167, 0x4b368f96, 0x3f5e1e89, 0x9d0d8f92, 0x5cd9bde3, 0x2752e1b9,
+    0x951f95d1, 0xb3235a98, 0x3bdbb329, 0xb07b168f, 0x58b8b41d, 0xb8602aa9, 0x02226830, 0xe152f86f,
+    0x5c873cfe, 0xf0ae4d16, 0x2474d4ea, 0xa7a67927, 0xbd296e6c, 0x4e08d607, 0xf44e7d18, 0x9814d905,
+    0xc1132bce, 0x103f5b93, 0x28b7cf3e, 0x9dce5cd6, 0x72d70e36, 0xf2a82bf9, 0xc7f8eaba, 0x8b66899c,
+    0x25041ca8, 0x6f74cfbc, 0x63fe8fe4, 0xae9fa5ac, 0xf9d6b2b5, 0xe05acb4f, 0x91e5f578, 0x5dc4f67a,
+    0xa41f405e, 0x3ffd66ad, 0x80eb4180, 0xe81ce3e5, 0x1c9470f9, 0x4aa231fd, 0x659f5533, 0xc1d5f4d2,
+    0x1e9dc9ab, 0xcf2048bc, 0x0ab2ac80, 0xc708b653, 0xda0a123a, 0xf34724ae, 0xe9f22a82, 0x39460b9b,
+    0xb97fb3b0, 0x3a468bf1, 0xe45765cc, 0x1e2aec3a, 0x2bad2c56, 0x5b060420, 0xc8cc3bf1, 0x4ec0c7b5,
+    0x950c870c, 0x1a7b1563, 0xa54d1b40, 0xcf78bbe0, 0x1f8dc090, 0xafea1f21, 0xa60d0a78, 0x3f1e2223,
+    0x8502b575, 0x46818c39, 0x8b9cf7c5, 0x7fddb84a, 0xda180e99, 0x81204554, 0xf74b5842, 0x42f5433d,
+    0x5d13c10b, 0x0da3a127, 0x942e0367, 0xac81734f, 0x5606684a, 0x1dc193ae, 0x2fa27d0b, 0xb5378a5d,
+    0xede16d61, 0x099d9121, 0x5918241a, 0xd0d9909c, 0xd33b104b, 0xddb177bd, 0x91a7f199, 0xcb9b1b68,
+    0x2922492a, 0x8719e541, 0x9edc8942, 0x3137f361, 0x9355ac44, 0x9cccd37f, 0x0f0e1cc6, 0xf5336327,
+    0xe5d06866, 0x33ecdf8e, 0xc3cc40c2, 0xfe739ca6, 0x1a905a71, 0x5e09a529, 0x139794f7, 0x5b1bc66a,
+    0x4ffb41b5, 0x4cd941f5, 0xfc737d4d, 0x441ac830, 0x1a330844, 0x2be620ba, 0xf9c88378, 0x3de8c6b8,
+    0x96310be0, 0x705dbece, 0x04819f09, 0x1b31866d, 0x2e6719dd, 0xbeb74abd, 0x2df2ffd2, 0x33cbf659,
+    0xb8c38e74, 0xfe8ab4f9, 0x854362f4, 0xdbbf699d, 0xc396452b, 0x91772cc6, 0xd66a43b3, 0xdacb1118,
+    0x8afcc5f1, 0xb3bc985d, 0x4b972b9e, 0x2bb0075e, 0xcb27133c, 0xe809497e, 0x87ec0a53, 0xc8a9a133,
+    0x1eab1891, 0x1b5406d1, 0x450d0383, 0x432f6b1f, 0xb1d7954c, 0x1e4df569, 0x106aac93, 0xaa5d640e,
+    0xb62bdcf5, 0x3d7b98eb, 0xbe4cffe4, 0xededa821, 0xde7e20a1, 0xeb0222c7, 0x368146c9, 0x5d864927,
+    0x0d7824b4, 0xce217152, 0x271b788a, 0x037613a6, 0x1e8a09a2, 0xa93b3c6d, 0x95498b77, 0xb68d57d6,
+    0xf5148d59, 0xcf1eb5af, 0x4487bece, 0xd770ea45, 0x7b88b152, 0xf5fd9f1c, 0x6d444b6f, 0x49f2b7c3,
+    0x7e0d37a7, 0x9f673887, 0x6e9f2105, 0xaecdadac, 0xc60fe8f8, 0x02c4fff6, 0x4d9894f7, 0xee849a21,
+    0xc64c9f78, 0x8a5b015c, 0xa19173f5, 0x6d159c7f, 0x8d647e59, 0xf3c388ca, 0x6d0a3172, 0x328daf59,
+    0x73c3a7f1, 0x64476098, 0xe6ee2aa3, 0x47cb11fc, 0x0468088d, 0xfe4afbfa, 0x009c8b0a, 0x39b02f3a,
+    0x1b4375ea, 0x59a29d28, 0xaada866a, 0x25ac2a95, 0xd62624e6, 0xa63ee84a, 0xc0aab776, 0xd234047d,
+    0x277a2674, 0x128e898e, 0xc2c8065d, 0x170b2f07, 0xf3a0d5fd, 0x16fbf479, 0xe919241f, 0x1a9a88f4,
+    0x9864ce76, 0xaf4ad204, 0x3a321021, 0x2e12cba8, 0xb01bc433, 0xd55289f7, 0xf03f4f5f, 0xaf859021,
+    0xc971daf2, 0x37cea4c8, 0x43ec1985, 0xecb75c85, 0x8cb947bf, 0x2bef07ab, 0x283a4f8c, 0xef9a7fc7,
+    0x8a92dd97, 0x5a60266d, 0x6b8d6186, 0x21b3be01, 0xfcce20bd, 0x56effc30, 0xafd83a64, 0x0731fb38,
+    0x930ee9c1, 0x9e3e2c80, 0x2d6872c6, 0x9a128190, 0x21f897d4, 0xd5a34099, 0xe6e5f341, 0x70c551c9,
+    0x39e3cdbb, 0x19b089b1, 0x65c87abe, 0x0e952a9f, 0xd51e0fca, 0x7d61996b, 0xc1331926, 0x0e92d68f,
+    0xaa0e0e2b, 0xe0499553, 0x66c1f6ef, 0xd033fda5, 0xb2275a34, 0xbf610632, 0xc8636a2d, 0xe0c5b22f,
+    0x46c7ebc7, 0xa7b250df, 0x5cbedef8, 0x59b185f8, 0xc23bdbda, 0x409dbd48, 0xd03fefc4, 0x71136db0,
+    0x5e32dd17, 0xb4fc2a76, 0x439a045e, 0x2bde4dca, 0x28f50b1a, 0x6575c860, 0x46cc438d, 0x46ffa568,
+    0x450db6df, 0xe776b1a7, 0x15e9dedb, 0xd1095940, 0x0ba8c7e2, 0x001289ad, 0xc42e678b, 0x6e3fd992,
+    0x5856cb0b, 0x62284a3e, 0xbc45bd9e, 0xa38510ea, 0xf3949f17, 0xe9889d7d, 0x4b4017e4, 0xe9b2271e,
+    0x7071cb45, 0x438fee9e, 0x017c5708, 0x8ef2dbad, 0x2278fd5a, 0x2f055779, 0x62b13946, 0x58681912,
+    0x1fd86ade, 0x4ccbaf5c, 0xc8730689, 0xc51bbbd5, 0x3b457cb6, 0xe98a3494, 0x913e9b9d, 0xf7667fee,
+    0xf09893a1, 0x3e19cd2d, 0x99fbe9d5, 0x39371370, 0xb8e3a6e4, 0xf06fcfd7, 0xf3eb83f6, 0x7a1af33b,
+    0x0fbd6496, 0x1ee807b5, 0x941036b0, 0xa94ae32c, 0x32f705c4, 0xdc7425de, 0x5576cef6, 0xd706d599,
+    0x104d4478, 0xb30ca0fb, 0x99936c9f, 0x7c80a0f2, 0x8338e224, 0x16235f2c, 0x5570535b, 0x479402bd,
+    0xa28cd7c9, 0x290a82cf, 0x582402be, 0xefc65c90, 0x5397318b, 0x210439e5, 0xe5939fdc, 0x3746b180,
+    0xf67807f0, 0x652db163, 0x83ed7af2, 0xac0d05b2, 0x181d3b06, 0xa2c0b371, 0xf91ba32f, 0xf5dca273,
+    0xb51a482d, 0x85e0c9e0, 0x41d252b5, 0x230c9f72, 0xcb56133f, 0xa111b3c9, 0xf4a470da, 0x91b827be,
+    0x6fcb14af, 0xce982e82, 0xa1a01fb2, 0x806f6242, 0x58339fa2, 0x4c26b4c2, 0xb66d8291, 0xb79179df,
+    0xb50d6858, 0xbd4672c5, 0x85914712, 0x154637ae, 0x31d358dc, 0x91a2acf7, 0xfe6ebb95, 0x08e8c097,
+    0xc3bcc078, 0x112022ed, 0x55b503b9, 0x975b71de, 0xc79aa57b, 0xb47e389d, 0xf7cac13e, 0xd41cc15f,
+    0x69e55ec5, 0x7f1d0325, 0xf26e4e67, 0xbc62b938, 0x152bffb7, 0x69060e73, 0xe80cf5ac, 0x490db112,
+    0x8c30639e, 0xac69d6de, 0x69ed6e54, 0x210a94d8, 0x7c81d76b, 0xed54af38, 0xcfeb866e, 0x7eb7372c,
+    0x946fc8b0, 0x2b475517, 0x23f1c96f, 0x09aac228, 0xc705e744, 0x846feca4, 0x98949e32, 0x93c8ec8b,
+    0xc02ebd30, 0x04d8a91f, 0x88287fee, 0x46cb211e, 0x0b926132, 0x1e74ee8f, 0xd9e1176c, 0x4988e27e,
+    0xaf4f426b, 0x2c133772, 0xf649ec4f, 0xb528267b, 0x3d3984ff, 0xff2d6e1b, 0x4fb31255, 0xa81b372f,
+    0xe43adf19, 0x8378007f, 0x16419b24, 0xb1c8aae7, 0xefb65e30, 0xf835ef5a, 0x414c4d7c, 0x5cc929d9,
+    0xa7d79b78, 0x5bf06b20, 0x8f3749c6, 0x34b41a41, 0x485f3aa9, 0xf8300bf0, 0x7bf7972a, 0xdf77089e,
+    0x0372a954, 0xd36c5683, 0x82f849b2, 0xb9308b5c, 0x313eb139, 0x8f73e1d9, 0x6d0b0c51, 0x34283615,
+    0x0aa71e9c, 0x359d85ee, 0x5b126057, 0xcf988d8f, 0xc44823e6, 0x89155f65, 0x255bf3d1, 0x99e98700,
+    0x4f5114f3, 0x6734aa40, 0xafde3067, 0xfa93b6bd, 0xad31c5ca, 0xb3b2ad4a, 0xf744f5a3, 0x3c83c084,
+    0x569d0e9f, 0x1b2392f9, 0x1d5bc98f, 0x5b73bdbf, 0x344535e9, 0xe9ce9e1e, 0x071bcfbf, 0xee3617ee,
+    0x84b6a64a, 0x0269185f, 0xbfe18dfe, 0xf508ea60, 0x3ffe77af, 0x89515358, 0x76ca9199, 0xad8f1d74,
+    0x98308996, 0x6c18dd67, 0xbe08cf49, 0x36075733, 0xdf57941c, 0xe4635aa0, 0x8ea75736, 0xcbe03fc7,
+    0x7745e08c, 0xdb334ad6, 0x3b5f3185, 0xda531438, 0x0aecf706, 0x8b6f1ae1, 0x8d62d7dd, 0x0170365b,
+    0xb20865c3, 0xeecdc8d1, 0x9ec63805, 0x1e4173de, 0x81fb1d9e, 0xf3a48954, 0x058384e8, 0xaf75a462,
+    0x592067b0, 0x81da2f37, 0xba25f65d, 0x72570071, 0x397421d4, 0xc4bc14b6, 0x0dce38cf, 0xe7fbee3b,
+    0x525740c3, 0x892aa2d4, 0x18a20c00, 0xfadc268b, 0x4048eaaf, 0xa47f06d8, 0x58179ed6, 0x8922840a,
+    0x91c3e437, 0x3f1c23b4, 0x6da7bc6e, 0x1049e06c, 0xf1e6e1fe, 0xaafa1c4f, 0xadb06463, 0xf8a956e7,
+    0xdbe5ce29, 0x1b5d40ad, 0x87e87170, 0x0c23b742, 0xcb44fbff, 0x5e5a2aac, 0x101ddbac, 0x8ed64831,
+    0xf7785d08, 0x03534f57, 0x39d9b22b, 0x13b7576e, 0xca15a0fe, 0x8d9f94c6, 0xda699036, 0x9ab64437,
+    0x25e598a8, 0x6f4eefd5, 0x99d48575, 0x3c79f3f0, 0xb8bda80a, 0x11d6a5f2, 0x82cdda22, 0x74180465,
+    0xabf7a775, 0x0d93c9c4, 0x58057e2a, 0xb6e70e44, 0x332d8aa3, 0x1bc243bc, 0x18277efe, 0x091085aa,
+    0xc6de4a5f, 0xe68e701a, 0x74b71555, 0xe77a467b, 0x18f46b9b, 0x4591a7e6, 0x6a98f1ae, 0xeaf2b124,
+    0x1c942825, 0x27efb454, 0xe00e6663, 0xfae10ae9, 0x922fed59, 0x3e146224, 0x774b6b49, 0x4f0c200e,
+    0xc2f4a87f, 0x10eb3a19, 0x0019dcf8, 0x2e6792c9, 0x11118a0a, 0x73683775, 0x1cc565df, 0x1d417761,
+    0xd62aa637, 0x83d4a4b3, 0xa3a1400e, 0x8d641dbf, 0x9d659179, 0x99ef84f9, 0xe017d0ea, 0x7f6f3092,
+    0xffa0f3a7, 0x393d41c8, 0x31e552b1, 0x5379023e, 0x8864069f, 0x6edd59da, 0xbcb79de2, 0xf8145c30,
+    0x9e296d29, 0x2da02932, 0x214ce368, 0x4b8c13cd, 0x530b43ec, 0x340868b4, 0x6f013025, 0x7aceaac7,
+    0xb66d9ab0, 0x76ba9fdd, 0xf557652f, 0xadd9f280, 0x3c5b5873, 0xae37b8f3, 0xe8ac6ce3, 0xf9d6118e,
+    0xbb2155ab, 0x57800e4f, 0xb2618e47, 0x0ba3b93a, 0x5d40ab2b, 0x6c7da0d1, 0x5420d249, 0x534796f2,
+    0x5e19fb2b, 0xab2e4077, 0x64dc9951, 0x47b47298, 0x7841c3dc, 0x75ff251d, 0x32e8302c, 0x7b70c649,
+    0x8b0168af, 0x02cbcfdf, 0xfec981b4, 0x08778b35, 0xeda32978, 0x18b676dc, 0xfccda87c, 0x03463bab,
+    0x349b2074, 0x709418c3, 0x4ffd926f, 0x6f7edade, 0x4c637d5b, 0xff4887d0, 0xcc46deef, 0x88ce2801,
+    0x8e0ebf01, 0x0e216322, 0xafed86f0, 0xce0a3909, 0xef0df96c, 0xb34a891f, 0xf43a4110, 0x624dd279,
+    0xb0a6d498, 0x6fa0610b, 0xc06ad37f, 0xdfabdee0, 0xd2b141c0, 0xf42d732b, 0x4539f14c, 0xd859abbb,
+    0x3ccfa3ef, 0x60db34e3, 0x985a29b6, 0xf7bf976f, 0x4a20b6eb, 0x59041fd5, 0xdd74c140, 0x81153302,
+    0x23148ae6, 0x97c0c1b3, 0xce92bdbf, 0x45102604, 0x36746297, 0x222e0f66, 0x34fac89c, 0xe078830a,
+    0x753154dc, 0x95e81cdb, 0xdd3f6f0d, 0xed930c2f, 0x318b4766, 0x177cc7de, 0x562766ce, 0x28d6010a,
+    0xf492a512, 0xa3a21b90, 0xf32b8e6e, 0x590e5221, 0x7d903b82, 0x714a672e, 0xfd0dd4f0, 0x47c962bc,
+    0x7bdf875c, 0xb616b796, 0x44dbb353, 0x1fbd74c4, 0x15e29f6b, 0x4974a072, 0x47da2b42, 0x52310818,
+    0xdaf17163, 0xf2eadacb, 0x1075c568, 0x7d55ac36, 0xf9109b3e, 0xad8e3b74, 0xf0c60415, 0x10cc2ff1,
+    0xf33dfbca, 0x9670dc87, 0xaa939245, 0x0331c0b0, 0x37c7459e, 0x9a521866, 0x0f2551a8, 0xc5d1dac9,
+    0x1ed6c0ea, 0xe530171a, 0x73a7e6e1, 0xa26ff686, 0x43e5c317, 0x07eb93eb, 0x9ed6f6d2, 0xca353ffc,
+    0x377e05b3, 0xaa7e2349, 0xa8ed0b9d, 0xd85e942d, 0x199efe7f, 0xf59a7021, 0x629cfcac, 0xff4cf751,
+    0xe2f788f1, 0xe562ef01, 0x0ac45ead, 0xcac61bad, 0xaf2ff78c, 0x07d83d43, 0x70128309, 0x1620b5c2,
+    0xd55c5a9e, 0xd32a6807, 0x9de863cb, 0xeedb38f7, 0xd2583cee, 0xc52c7d1e, 0xe46ecc18, 0xe724944c,
+    0x4ea17f4d, 0x45a12a15, 0x9c584012, 0xc8217301, 0x2c42d6da, 0x3771e09b, 0x0c2b6412, 0x793115c3,
+    0x2c3bfb73, 0xe743f0ef, 0xb731cc6d, 0xfc78202e, 0x066a0718, 0xbf73c710, 0xa8456e6f, 0xaf0c4ce4,
+    0xc9e9e5bf, 0xfba210cd, 0x142673ef, 0x40e7820b, 0xa3db8480, 0xe52cbad5, 0xedcb45cb, 0xb03d8d83,
+    0x6e5ad58c, 0xf8eb0c12, 0x33fd9327, 0xb428ce20, 0x6fd80adc, 0xd6db587b, 0xf05d6cf2, 0xcc47e7aa,
+    0xa0c6341a, 0xcd00182c, 0xc31d8958, 0xead30fde, 0x8a2230b6, 0x4d3bc533, 0x474611ca, 0x4fbaa765,
+    0x0019570e, 0xea3bbed6, 0x9081f24b, 0xcf48add9, 0x53e935b5, 0x7d9b4160, 0x1d3c3d65, 0xdee9aaa1,
+    0x7d33581e, 0x02a2b2f1, 0x549ed32d, 0x5aa3eba2, 0x4ff41c38, 0xd218e12f, 0x55a6d550, 0xa10c4c41,
+    0x88a1c6fb, 0x1ecd6448, 0xf71ce8d6, 0x47a1f77d, 0xb44c8b13, 0x9bfc5304, 0x0a83e665, 0xeb8281ad,
+    0xae6fa7fa, 0x4e1a6d44, 0x92cb03e8, 0xcc0b1aaa, 0x846884ef, 0x2b70f198, 0x85f54078, 0x976fc675,
+    0xae69caa3, 0x5a62fbf2, 0x2f5120d6, 0xcc75f746, 0xc74a22ca, 0x900302b2, 0x71ba3908, 0xe5ff6332,
+    0x2970bdd2, 0x1169464d, 0x321cc9a9, 0x5c53755f, 0xec64c796, 0x94f68b49, 0xafc72c4e, 0xbb84498a,
+    0x3441e3a9, 0xc19aa62a, 0x4d7ae85b, 0xc1349132, 0xa6c88382, 0x936b0e19, 0xb1f6725b, 0xe801e04b,
+    0x7645c8a5, 0x9d3b6d84, 0x107a4ac8, 0x16aaa2df, 0xdf897a98, 0x42a7647d, 0x218beead, 0x6b36a1a3,
+    0x3863b89b, 0xf5256ea6, 0x58f8a286, 0xe67ccc59, 0x35879e67, 0x5abf85d4, 0xc1796be9, 0x6407e5fe,
+    0xd6080f82, 0xc0453a65, 0x034531f3, 0xa4c7f122, 0x4da60a99, 0x350e5933, 0x6563fbd2, 0xcd87e25e,
+    0xb8da95c0, 0xf5c80157, 0xe2b503a9, 0xce3fc856, 0xad707085, 0x8ac3f55c, 0xfc14e812, 0xd8a7d7d9,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0007067388259113537318333190002971674063309935587502475832486424805170479104 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b724a, 0x9bfbe8c2,
+    0x00000000,
+    0xe2b0d708, 0x0d72581c, 0xc8a6eb9e, 0xbc635a58, 0x2a9b4649, 0xbd2245c2, 0x6ecce8e1, 0xa4f0f96e,
+    0x35284f69, 0x6b0b8481, 0xb1ba0753, 0x3d843f52, 0xfb54e49b, 0xbd5846d3, 0xe2383f29, 0x27d79079,
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+    0x625bb29f, 0x72b69926, 0xf797d5df, 0x59f50a1e, 0x1ae42414, 0x11f83459, 0xd007075a, 0x9f0addd5,
+    0x16f767a4, 0x43ed80b6, 0x2d296088, 0x7cd98bd9, 0x98d90ccd, 0xf0ef9565, 0xd42fbb0c, 0xab80debc,
+    0x0f68dc94, 0x076c4f6b, 0xd3521eec, 0x651b1e07, 0xada927b2, 0x4e198585, 0x98a46d32, 0xd4cdb6d9,
+    0x93170232, 0x7c854adf, 0xfdbe993a, 0xbde38d95, 0xa19e32ac, 0x5a50e056, 0x9f2f2bd0, 0x88e04249,
+    0xf4e2ab1d, 0x5a8bfd43, 0x4d3a3141, 0xe9bd8582, 0xb4fc2eda, 0x4fd9ea9b, 0x7a43e72a, 0xe2ce630d,
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+    0xce399f38, 0x1dffe90a, 0x8240f032, 0x069f5d5a, 0xdbc42909, 0x59b41fb8, 0x4859c512, 0x76df889a,
+    0x7b19caaa, 0x190a79a1, 0xf0d2fcfd, 0x9244b3b3, 0x23590a10, 0x08d8dbad, 0x2533bf68, 0x8d354d7c,
+    0x45449580, 0x4304edfe, 0xd7055701, 0xae8f8c87, 0xc854703c, 0xc57490d6, 0x25dd1b31, 0xc3ed9ab7,
+    0x662d0d4b, 0x37b3ad2d, 0x6094b4c1, 0x79e0a054, 0x848ba992, 0x69f6a458, 0x156d57a2, 0x1492d26c,
+    0xcc14fff8, 0xd8506e83, 0xd67a6068, 0x1c18d6f1, 0x1006ce17, 0x50971471, 0x504f5581, 0x7bed51fd,
+    0x8d380302, 0x35f063b1, 0x961745ab, 0x208ba3c9, 0x14560035, 0x175f318c, 0x8710e0f4, 0x6f054479,
+    0xfbd19d9c, 0x862d5733, 0x9f5b5300, 0x7ebe2330, 0x386892de, 0xf486bce0, 0x79bdb2a0, 0x2e85600b,
+    0x0167e417, 0x3295e409, 0xa24003e4, 0x087c9881, 0x710374c2, 0x912ac2e9, 0xc27f9b6c, 0xcc45a754,
+    0x6bdb9137, 0x5a38ae61, 0x67f18fac, 0x59664bd6, 0x7d0b9d87, 0x04ac3caa, 0xce37a51f, 0xd8e8e47c,
+    0x5508decc, 0xfb616701, 0xfce87042, 0x38dadea0, 0xca0283ed, 0x7539512f, 0xb844c051, 0x2e9302a8,
+    0xab83e31c, 0x6115e026, 0x6aaf6a2d, 0x2a4a15d7, 0xfb223f1b, 0x1b331c90, 0x5b44be40, 0x9800f9e7,
+    0xc0c7ead5, 0x216320f0, 0x0e9e0337, 0xe68cc8c5, 0x42ffab42, 0x079a2372, 0x91dd5f54, 0xe661944b,
+    0x2512e792, 0x16b23305, 0x7a3badbf, 0x2d466135, 0xcc8aecd3, 0xc81bdc29, 0xf0a16b31, 0x84b9b841,
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+    0xf3f01fb7, 0xeff9843e, 0x06879881, 0x10604076, 0x89e68635, 0x4306b87c, 0x2713dbdb, 0x33a0fd70,
+    0x7066f2f9, 0xe0a94136, 0xa1bfa067, 0x72778a31, 0x0bce6971, 0x6dd4c575, 0xdea6ef4d, 0xff539b4f,
+    0xcc8189c4, 0x6027264f, 0x52dbb38b, 0xc70d1bba, 0x345203fa, 0x5349140f, 0x0fcf8547, 0x0df772a8,
+    0x9626758b, 0x5e2adddc, 0x3923fa9f, 0xb650a0ac, 0xaa3e640b, 0xf299b7bb, 0x2c7949d3, 0xbff374aa,
+    0x91a4a70f, 0x842dbd03, 0xb11ab7cc, 0x37ee8296, 0x98f913c2, 0xd3d4c329, 0xac4092c1, 0xd9e83f5e,
+    0xd41ba821, 0x172ec98c, 0xbc5482ea, 0x03463410, 0x8dead9a5, 0xdd06e224, 0x9c4bab97, 0xf417ed5b,
+    0xe17828aa, 0x62ee730b, 0x65ac409f, 0x70fb40f0, 0xed5d0e5d, 0xe7e9a9d8, 0xc24c0ccf, 0xe043607d,
+    0xbf34faab, 0x300d589f, 0xf3319ef5, 0x3a843fb1, 0xf8475151, 0x94d67779, 0x36e2c78e, 0x0a54dd87,
+    0xe4e016a9, 0x577ec604, 0xdf20bdb3, 0x34a6918f, 0x317bdcfa, 0xea602615, 0x3daecfb2, 0xae926905,
+    0xd9566f0e, 0x56e2cc6e, 0xe58cc284, 0xb345f0a4, 0x5616f1f6, 0xb32fa618, 0x27ca2722, 0x395091b5,
+    0x52fe5302, 0xa6cc4e8e, 0xd00820de, 0x39ba8d16, 0x149077aa, 0xde1f247c, 0xceef76d0, 0x77f58cf2,
+    0x2f401d19, 0x1015566d, 0x5264f766, 0x65501f26, 0x1d840b99, 0xfe09c7db, 0xa103fd49, 0xd296828d,
+    0xf81a1baa, 0x98d201b6, 0x21d5a853, 0x4d196cc3, 0x799c292d, 0x7a86f314, 0x68ebcf40, 0xba7c071e,
+    0x29376114, 0x58b10c7c, 0x62b634bb, 0xb39c8ad4, 0x65bec614, 0x026ff022, 0x7fbb6d67, 0xecb2731e,
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+    0xacf78ed4, 0x77031207, 0xddf55fb1, 0xd600eabb, 0x85c51c6a, 0xf4cf9709, 0x2c876c29, 0x2793eb37,
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+    0xb16bcfcb, 0x531ea87e, 0xc857c310, 0xb4692c31, 0x8431eeb9, 0x6095af44, 0xd6f48008, 0x79580988,
+    0x9f8d8ed6, 0x295d0e15, 0xcae4d4d3, 0x39f02bcd, 0x5f6d3308, 0x89fef103, 0x29fab2b7, 0x18a1dec9,
+    0x45f1775f, 0x1476dda2, 0x63ed427e, 0xa7341b40, 0x9a1deca2, 0x143a6219, 0xf41d0679, 0x9e7aba00,
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+    0x41f03283, 0x02c3b525, 0x229ca734, 0xf8ec72c2, 0x5a9f2382, 0x8dd4aa1c, 0xeb90440a, 0x35247046,
+    0xe25aa267, 0x6247dc66, 0x05bbe7be, 0x7ed1efc9, 0x083e9374, 0x2f51f19c, 0x2da70bfd, 0xee8eb7ae,
+    0xec2b8364, 0xf78b5165, 0xd1bc031a, 0x22f6579b, 0xec8caa40, 0x840ffbe5, 0x14174973, 0x4817cf0c,
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+    0x5f0535f3, 0x76c9c29e, 0x4dfa2e5f, 0x98490b52, 0xa9272b34, 0xe79c9a95, 0x925ae1e2, 0xece37cf4,
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+    0x342cd9f4, 0xadd24c1b, 0x628a4348, 0xbcdbae9b, 0x46c7dda8, 0x16c127eb, 0x723d4297, 0xc71de944,
+    0xfd71b0ca, 0x7a81c5dc, 0xfdcdf043, 0x546b1220, 0x98d514ac, 0x8ccadc9d, 0xe880350b, 0xa269634e,
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+    0xa0960643, 0x4e8e05c1, 0xc49270c1, 0xdeacb7ad, 0x86c83730, 0x149e6700, 0x5b63ebee, 0xaa4162da,
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+    0xcbd9e519, 0xd37cf849, 0xc14a96ff, 0x4396fc93, 0xe6ce7536, 0x2462fc77, 0xbd25049b, 0x93ea4349,
+    0x2fb2b502, 0x6d4cfdde, 0xea8e5695, 0xd0c4ba38, 0x0b867296, 0xec228240, 0x3df7fbd7, 0xa3699d5a,
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+    0x178940ce, 0x86c4bc50, 0x495ac96a, 0x858484ac, 0x77c62b94, 0xb4b73de3, 0x70420d47, 0x96295727,
+    0x8734679e, 0x373c9d3a, 0xb9efd99c, 0x6de86f35, 0x860c7fc0, 0xe84cb83f, 0xc56a5e44, 0xdad93900,
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+    0xf1641105, 0x39f5e0a6, 0x28fd0b51, 0x2c9c86f9, 0x51c59044, 0x147fea20, 0xdd05beac, 0x8a095bba,
+    0xffbb23a7, 0xb92f6b90, 0xfc69bfe2, 0xcc690c36, 0xac14a1c7, 0x4a6b5036, 0x02474220, 0xc9b79fda,
+    0x388c9873, 0xcdb9afc7, 0xe4ab4cb3, 0x7620ad07, 0xba93a2b8, 0x6d1a2824, 0x672d9acf, 0xee8b2a87,
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+    0xf08a42a4, 0x359589bf, 0xae5d7639, 0xaf955a91, 0x61fd6e9d, 0x2dbd6de2, 0xc46bf234, 0x19cdfa82,
+    0x6eb577ec, 0xb158ecb8, 0x41491140, 0xa433ea53, 0x88e87f27, 0xc562c417, 0x5795b5f7, 0x28c32b25,
+    0xba6ec12c, 0x000c3c2b, 0xfcf44bca, 0xc5096f6d, 0xe3d32d0e, 0x169d09c4, 0x75da7781, 0x5d8b70fd,
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+    0xfa200b5c, 0x01294392, 0x92aa917b, 0x3aad6abc, 0xd8155e81, 0x1167a4cb, 0x21617f0e, 0x21059081,
+    0x5ae061ef, 0xc9daabc2, 0x2482da5f, 0xb2f52af5, 0xeb8cf914, 0x7c4c64e9, 0x1c85f607, 0xa98bacfd,
+    0x8fe783dd, 0x09813924, 0x0b332b3f, 0x1027c535, 0x325393ff, 0x5ba875e8, 0x2dc5969f, 0x4aa12906,
+    0x92a30229, 0xa9f4ed77, 0x7c6a40f9, 0xed765e1b, 0x29a4ef1e, 0x9fb24421, 0x7bb14718, 0x7d732799,
+    0x41e9b99b, 0xbf02146c, 0x0aaf8999, 0x1ed4c480, 0x8ec01fe3, 0x7bf66512, 0x87596a14, 0x13323a2a,
+    0x5a81d1e4, 0xd22411a5, 0x8afd626f, 0x943fb7f3, 0x41199b64, 0xc4de9538, 0xfda12a1d, 0x6a55bc12,
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+    0x17fa3707, 0x91ee6662, 0x50e1bd8b, 0x0d3265ad, 0x4cddebcf, 0xa72a168c, 0xc56c6fda, 0xcc9fad06,
+    0x3fc42847, 0x0c5516ca, 0xe36c476a, 0x568a705e, 0x496f8714, 0x5ded6387, 0xffe1eb5f, 0xcfa56da7,
+    0x087457d6, 0xd537277d, 0x08f8b652, 0x4b7eb4e9, 0x377b25d2, 0xd6addd6e, 0xfe655d54, 0x95b4538a,
+    0x9acba47e, 0x385bdb4c, 0x9fd250e0, 0x2f35af3e, 0xb4d7e8eb, 0x3dabb1b2, 0xc11e7343, 0x3eabd4c0,
+    0x7b86eb5f, 0x29f4a894, 0xe7ddd23e, 0x5b95f803, 0xfc3db6e2, 0xee13c160, 0xc407e1c0, 0xafb6518f,
+    0x44912b38, 0x710b1e9f, 0x95be8b84, 0xb354b7b6, 0x355b9c4f, 0xc855e2fe, 0x6e4b38e4, 0xe1820a49,
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+    0x5d82d751, 0x8ef9d54c, 0x934d9cc8, 0x2e219ffc, 0x5e70348a, 0x3db2d4cd, 0x28464fd7, 0x1bb97049,
+    0x6378488f, 0x84066d2e, 0x6a2b030f, 0x22cc6375, 0xfd04f24d, 0xe49844f5, 0x1f0e6f55, 0x3edcf89a,
+    0x49ba6de0, 0xe7cfc8df, 0x80d8988c, 0x3e0ddc07, 0x9d0cd3c4, 0x7f721eeb, 0x1ff43998, 0x59008975,
+    0x5a518363, 0x561cfe97, 0x29d2def8, 0x6470d0c2, 0x8eaa4895, 0x059c3033, 0x2a1887f8, 0x36948f82,
+    0x91875cf9, 0x1a994204, 0x058f98ce, 0xad58d5f9, 0xefdada5f, 0x924315c2, 0x873f71ec, 0x9d75ef36,
+    0xb2c6fda0, 0x0c40feb8, 0x1c284f97, 0xb246128c, 0xa953b6ac, 0xe0d262ac, 0x2c64962f, 0xc939298b,
+    0xef0340ee, 0xc495acd9, 0xb38ff2cb, 0x717f646a, 0xa6608312, 0xf04375c5, 0x4aa150cc, 0xf6813f03,
+    0x33a9b25c, 0x7d4eea1a, 0x99557579, 0x22121fd7, 0x395d1cbc, 0x5710e579, 0xd556f33f, 0x48533a86,
+    0xcbacd531, 0x7af2a9bb, 0x7d1d0d0e, 0x1d3651e5, 0x020a5f13, 0xffbf9788, 0x01667f96, 0x67e63038,
+    0x950dde41, 0xfd4c97d4, 0xd30ee4de, 0xf18dd78e, 0xdc3e1d3e, 0x45e2625d, 0x7cb5446f, 0xc003e84e,
+    0x92209f26, 0xefb681ac, 0x2779149d, 0x1d4814e8, 0xb1328d42, 0x3e335bc7, 0xa0d8cf9c, 0xc258104d,
+    0xdc20aacd, 0x09c5b374, 0x3ed3deae, 0x95f25860, 0x98f383fa, 0x02af6652, 0xd2ebd1ba, 0xccec6452,
+    0x719e302a, 0x5f98d07a, 0xfaf90748, 0xab3163e2, 0xa0334a04, 0x075819ab, 0x2e4171fc, 0x51531c95,
+    0x11768003, 0xddbdc605, 0x82f721c8, 0xcc5a5bad, 0x5951ec0d, 0xc310feef, 0x408bbeb7, 0x8db95e1e,
+    0x77ef12ff, 0x24b8e979, 0x483b037d, 0x1a1d712b, 0x9562e968, 0x25dd8cbb, 0x732266a7, 0x0223108e,
+    0xca7c139d, 0xab0cdc88, 0xbdbdab87, 0x8d12899c, 0x2079c57b, 0xaffd393c, 0xbd28cf81, 0x218399e0,
+    0x615f6965, 0x589e3d63, 0x6d4889f4, 0x35da7a6e, 0x80954810, 0x0217441b, 0x0f4a95a2, 0xaf87f92d,
+    0x24c16205, 0xf2dd2dc2, 0x97d33cc0, 0x4091ab17, 0xd8791cd8, 0xff07ee43, 0x7a0f897f, 0x9049e52d,
+    0x9299a43d, 0x9a7c2e37, 0x44adb4f4, 0x27efd02d, 0x20037dbf, 0xd92ea236, 0xab9ada7f, 0x88151224,
+    0x4c900c7f, 0xa219c5a7, 0x465c5f22, 0xa93c974a, 0x9813f764, 0x559ce4aa, 0xbaaea5e0, 0x48d78e69,
+    0x3be4b0a1, 0xbfb8f6b0, 0xf5047794, 0x858dc0b4, 0xbcb0a9ee, 0x08c01bd9, 0x21c3980e, 0x2c92ef09,
+    0x7ff6457b, 0x0220b67e, 0x7fbce53c, 0xb686465f, 0x0d60cf45, 0x4003a764, 0xc0f866b8, 0x82784764,
+    0xb15c7e5c, 0xd7245442, 0xd53ac53b, 0x2a8aefaa, 0x86fdbec9, 0xdec679a6, 0x8d887304, 0x085e6e48,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0003533694129556768659166595001485837031654967793751237916243212402585239552 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b925, 0x4dfdf460,
+    0x00000000,
+    0xf0e66a79, 0xe566ea39, 0x9cf6a62a, 0x1d4a2826, 0xec89594c, 0x0da428ad, 0x0b0f2523, 0x02027824,
+    0x66d90081, 0x9ad51d31, 0x31a108bb, 0x4b921daa, 0x256dfc4a, 0x5b8f1a08, 0xff10c312, 0xbb720040,
+    0xd49f1121, 0x7eea7c74, 0x178ef17a, 0xda989c34, 0xfbc9ca48, 0xa61b9426, 0x7ecded11, 0x38eba2f6,
+    0x19585432, 0x96419894, 0x49d91e0a, 0x6149583d, 0x6ac25bca, 0x3f13d0b4, 0x3d5762e6, 0x8801dca5,
+    0x8b6616a1, 0x361d941b, 0x18a80d7a, 0x1c34e471, 0x01777322, 0xb84f808a, 0xac3fafcd, 0xbc30108e,
+    0x558d9786, 0xff36b48e, 0x0963ad4c, 0x835414ef, 0xbad4434c, 0x542d8e0c, 0xc51d8a63, 0x4bc272d6,
+    0x6fbb7f60, 0x6f2862e1, 0x04402075, 0x62023f86, 0xe1137e7e, 0x2784b3a9, 0xaad914a2, 0x520fa164,
+    0x5c150283, 0xfd895769, 0x9393c11f, 0x2ac2367e, 0xe76f5d9c, 0x51175c10, 0x7b4e596d, 0x4bd310ec,
+    0xd5402d17, 0x002fd550, 0x682c293d, 0x185aae5a, 0xf6c814d5, 0x34dd7fe1, 0x47180ab9, 0xa1795ba9,
+    0x70ec81b5, 0x8bf10199, 0xd0fbc137, 0x87b12bc7, 0x8f19368a, 0x542afa86, 0xe930b230, 0xa58e0a19,
+    0xc7563cf3, 0x2ddcc9f7, 0xe9934047, 0x5b89bceb, 0x8fd94de5, 0x586f41f9, 0xf9d2f758, 0xf8761ee0,
+    0x4ed264e4, 0x1750e2fb, 0x16b970a9, 0x657b1f33, 0x4154c81b, 0xb46374ea, 0xdee46ba1, 0xb5f5cbc5,
+    0xaffd2ca8, 0xbe324d86, 0x2881d1d7, 0x098b608b, 0x5d95da07, 0xbdcb1fcf, 0x3e6f285a, 0x63757c11,
+    0x5fe58dc1, 0x0a9e8618, 0xcb09ffd5, 0x504caf77, 0x35a03ae8, 0xbd3b9e52, 0x39b3e19b, 0x9d4c1fa3,
+    0x4065c288, 0x8c2ff046, 0x14b77c51, 0xd7a2037d, 0xf06ab435, 0x32985581, 0xca3d0ea6, 0x77e3ed68,
+    0x32ae3fc0, 0x6edd524d, 0x08eb7eca, 0xf828a864, 0xb08b1214, 0x7db31a8e, 0xe08c4592, 0xba31a185,
+    0xa210bf2a, 0x7d02d7d0, 0x1a442eff, 0xd821eb1f, 0x8242a5f4, 0x7aaae1b0, 0x10c80bcf, 0x043d6239,
+    0x27a57eb9, 0x3269351b, 0xfc225ab4, 0x36261867, 0x9c4e624a, 0x4ace3abb, 0xe2a5a19d, 0x698b0dca,
+    0xcb0893a3, 0x0bb6fba7, 0x45955b7b, 0xb874cb35, 0x2be96351, 0xfb1fcea7, 0xea2d10a3, 0x87bc1601,
+    0xf8b9db80, 0xd4600b9b, 0xbf2446d8, 0x15844376, 0xe669cf25, 0xfe11c644, 0x1ffd65af, 0xd0a2f516,
+    0x42eb77d0, 0xd1b1e649, 0xb66998af, 0xf6173db2, 0x526df815, 0x1385f43b, 0xf55a4fd1, 0x2d743e43,
+    0x480e2124, 0xeeef4464, 0x81cebc9e, 0x002d0549, 0xa059b3bb, 0xb300070a, 0xeb169300, 0x27481f24,
+    0x8f4929b3, 0x1e7e874e, 0xc1e38af3, 0x09a1dc9c, 0xb5dccbe0, 0x601caeda, 0x0fe5c0cc, 0xcab4d40d,
+    0x0055b09a, 0x93228b2f, 0xa80e4a13, 0xda65e77c, 0x16460c04, 0x486e0fe3, 0xd104eade, 0x23abaf43,
+    0x6c4a9e52, 0x472ef2eb, 0x1747fa77, 0xe8fffed4, 0x8668488f, 0xbfcdb704, 0xcb7a22e4, 0x5e0faac5,
+    0xc7b07fd8, 0x10ee0ac9, 0x93d0303f, 0xd4543f7f, 0xb6efb291, 0x6760f699, 0xa21bdf81, 0x79107c91,
+    0x6237c4e9, 0xafd8bf9b, 0x94217168, 0x33706395, 0x61c4d196, 0xdc517c80, 0x3dfefcfa, 0x62ef8c11,
+    0x5db4da1b, 0xd56e0872, 0x61c6041b, 0x53f4cc32, 0x8394488c, 0x85f248c5, 0x7f362f92, 0xc43cbc38,
+    0x7c1d3bc7, 0xf3796094, 0x5eed6e37, 0xb2c71d54, 0x1271f43b, 0x1c91d321, 0x39bc017d, 0x8e06792d,
+    0x0e436197, 0xb1712e85, 0x655174ca, 0xdbda7f30, 0xba9b84e6, 0x447ac471, 0x99c31384, 0xf15f415c,
+    0xc4284c26, 0x9c1ef3b4, 0x4e15c57c, 0xeebd9afb, 0xf1896c19, 0x15ae59d3, 0xd5da14cb, 0x8c19fd0a,
+    0xfd3e398b, 0xd196c5ac, 0xbdae239e, 0x67f40bbd, 0xdddd2998, 0x589e70a3, 0xea6305ec, 0x7a2756f8,
+    0x96b384ca, 0x6e1f0d29, 0xb21accb5, 0x947a5267, 0x68b70455, 0x26733dd7, 0x5c36e70a, 0x0bb06dd5,
+    0x514cb3c1, 0x72ae5ae4, 0x6e2987e3, 0xd6ec41f8, 0x1a09d90e, 0x629e1bb7, 0x7536b4bb, 0x8e537495,
+    0xba9590a2, 0x4cfdffb4, 0x7583df56, 0xbbaf5477, 0x631f1719, 0x86e2acc4, 0x9936e2f0, 0x7e6bf652,
+    0x26b94f31, 0x6c9f24e8, 0x8e88997d, 0xc77c2435, 0x6438a05d, 0x16d5fb15, 0x2c967d1c, 0xe751972a,
+    0x0225585a, 0x41bbfaf5, 0x4c571c33, 0xdf46af57, 0x27db0205, 0xe4042408, 0xeba749d4, 0x638142da,
+    0xc004ec5f, 0xfe0aff48, 0xd180f895, 0x8e457130, 0x2ffea5d0, 0x90bbbe3e, 0x71187043, 0xfe5ba753,
+    0x7f158618, 0x02be0d59, 0x3ea60ab0, 0xa1f3b542, 0xd6d9a555, 0x92901603, 0x3e933405, 0x2d628936,
+    0x4594b428, 0xa2f60bd7, 0xb40e5545, 0xa035dedc, 0xf7b9d1d1, 0x766f1b87, 0xd479162c, 0x23617262,
+    0xde065bc3, 0xaf192284, 0x5f7e63e8, 0x6f2d6342, 0x7834b588, 0x07b5526a, 0xbd27435f, 0x979879a1,
+    0x5f7b070f, 0x3afc95bf, 0xa949c4de, 0xbbbba14a, 0x8d48f37d, 0x95c55330, 0x068b3e74, 0x24ee506d,
+    0xaf6e5bde, 0xe026881b, 0x76930cd6, 0xf56821d4, 0xdc994003, 0xc43f8320, 0x714d9208, 0xfcfd91ba,
+    0xc0fe43c1, 0xdedc4d07, 0x015c98c2, 0x41c23375, 0xf231cbdf, 0xe4f057d0, 0x038da2d5, 0xaf533fc8,
+    0xec127f60, 0x070d7890, 0x29a564f1, 0x75aad490, 0xe209d893, 0xffe69366, 0x0c1147c8, 0x8bc1a850,
+    0xcc677d34, 0x080914cf, 0x91dea33a, 0xb1516e90, 0x8c92b279, 0xb6cec475, 0x6d93e597, 0x652cc324,
+    0xbc312ba9, 0x3ce6fa73, 0x6141188a, 0x7a0db339, 0x45c202a5, 0x230c01cc, 0x8f4d30c3, 0x51eb3352,
+    0x18fcf1b0, 0xb07b083d, 0xd6ac0bae, 0xd6fe9c8b, 0xd5d4c046, 0x8dac3f7a, 0xb18f6728, 0xc8494f34,
+    0xb18558dc, 0xc32fb5dc, 0xb1ea93c0, 0x030b0c00, 0x9755c02a, 0xea80d8bc, 0xb0948572, 0x0dfb95bc,
+    0x32bc67cd, 0x2a24b33a, 0x2788cb07, 0x93a3a3f3, 0x13568d8b, 0xad1edb25, 0x39c7683a, 0x2a8e44a1,
+    0xb1483e06, 0x798c114c, 0xba97ecaa, 0xa060ac90, 0xcbe1c6c9, 0xa390fbeb, 0xde6a97c1, 0x0fcc70df,
+    0x1e941319, 0x407f3c18, 0x0ae341cc, 0x07aa4daf, 0x4889e8a9, 0x18de736d, 0x739c9b64, 0xa7675ebd,
+    0x2666b31a, 0x50b5894e, 0xfab3daec, 0xdb86504c, 0x46913547, 0x0302ec9a, 0x25456016, 0x75786c23,
+    0xad6f6f68, 0xdb2cab67, 0xe65fe110, 0xd7a18cfb, 0x5a213ea2, 0x970da7a2, 0xb12edc92, 0xfeff4605,
+    0x01faabb5, 0x39c6d366, 0xb37e5d1e, 0xd3d3aafd, 0xcef538d4, 0x39fd2300, 0x232b2c10, 0xe452ccfd,
+    0x3fe525db, 0xc29df9ad, 0x97e99b18, 0xe95d7e47, 0x00b1086d, 0x8d89fda3, 0x4df2924e, 0x020a53e7,
+    0xbc8ef306, 0xeaab24e1, 0xd2d41fb4, 0xecaa3ca9, 0x23b3a5dc, 0x2334770a, 0x043b2904, 0x7ffa4793,
+    0x6e8d4225, 0x5ca20cd1, 0x5c1d00ce, 0x293cd1d9, 0x355cd5ba, 0x29474334, 0xa1cfa526, 0xbd3af376,
+    0x18a289cd, 0xd2a6db79, 0x629fef93, 0x31269530, 0xa79a9a3f, 0x8e99a3da, 0x92b70c85, 0xda663b36,
+    0x696c9977, 0xbbf6af80, 0xa6948001, 0xe3138332, 0xd51afda6, 0x474466cd, 0x1180113d, 0xc5c4c3e2,
+    0xdfc246cd, 0x365061b1, 0x987b9dee, 0xa6ff871f, 0x2ca8dcb0, 0x2fb3d00b, 0xa9557f9c, 0x3b3e94ea,
+    0x8d437a66, 0xa0efadf6, 0x1b6c6329, 0xae8fec95, 0x4b1e4b83, 0x89dea3cb, 0x2ca4b072, 0x0a584918,
+    0x5eae8660, 0x58eec5d1, 0xe2b2d7bf, 0xb704467b, 0x27bb70c6, 0x6f074a87, 0x23cdf313, 0x10b98c1d,
+    0x2563ec79, 0xf0c3a8ed, 0x05fe59fa, 0x83608df0, 0xf2770d26, 0x507d3c11, 0x5a7ccbee, 0xa9f96024,
+    0xd44d8e5b, 0x953dc644, 0x4311c465, 0x5e993471, 0xb718aafe, 0x2fa24bc9, 0xecd18cb2, 0xbac1b03d,
+    0x68b02247, 0x44480ce5, 0x793faa68, 0xab998d40, 0xef5c8ed9, 0x849f70f4, 0x1e1b000d, 0x1cca9291,
+    0xa8b6ce64, 0xa4b08e7a, 0x54e5e45a, 0x9fb9a480, 0xacf17fdf, 0xe57c9dff, 0x9afa2e93, 0xa1ac04a1,
+    0xcc15f62e, 0xb71433c6, 0xa784c6e6, 0xa5c12bbd, 0xdc71168e, 0xd09f6917, 0xac0df3d0, 0xd111e01f,
+    0x07feaf8c, 0xadede53b, 0xb9301120, 0x09033379, 0xa97836a1, 0xab201a8a, 0x169ec233, 0x677aa0d5,
+    0x72b02a2e, 0x5cc1756a, 0x684aafa8, 0x351c45fc, 0xb6610300, 0x24c42f55, 0x183450a8, 0x04a33494,
+    0x5ab67861, 0xf46a0446, 0x59865c98, 0xa9fd4519, 0x9c983910, 0xbdd5b65f, 0xa6f734b4, 0xc686c726,
+    0xc9ffdcd5, 0x218a94af, 0xd1d2a30c, 0x3bff524f, 0x79094e83, 0xb4442bd3, 0x127967b9, 0xb534b72d,
+    0x425cf6b6, 0xd0ef146d, 0xd2ff646f, 0xfaae0357, 0x1776d1a1, 0x8dda7510, 0xeff81f34, 0x8eefc42d,
+    0x65d1d915, 0x67ad3e26, 0xf8d29618, 0x93ce9805, 0xae4989b8, 0x2749c6a4, 0x360abe29, 0xa84b09f7,
+    0x834a4b05, 0x934164d7, 0x5d588a5a, 0x1b562a53, 0x7a728dde, 0xfcf7afef, 0xb6b5829b, 0x751f5f18,
+    0xd120d725, 0x87e03044, 0x61a92787, 0x2027e264, 0x3e0eba39, 0xd1148a1f, 0x74e06acf, 0x9c9bea9a,
+    0x6cb2ac77, 0xd7dab235, 0xe78a0657, 0xe777c11d, 0xd4a37791, 0x5e83bb5e, 0xed59269f, 0x54b01a85,
+    0xd1274379, 0x17f5dae8, 0x1e29eb44, 0x57de3335, 0x2fb29b6c, 0xe7f7ae71, 0x0023f31b, 0x4d19269a,
+    0x95b80718, 0x4315703e, 0x1e506e67, 0x7a8d7a31, 0x61bfa8f6, 0x2c6a0cd3, 0xd1a535ff, 0x057675e9,
+    0x02b6c861, 0xc58e651e, 0x2445190c, 0xd06ab6f3, 0xd16ed3cd, 0xdc82bbb5, 0x6dfdb7ab, 0x8820b035,
+    0xbab82d9d, 0x37d6d259, 0xe1cda6b6, 0xb11cbb41, 0xecf204f0, 0xab2b0ea3, 0x9d939876, 0xdf72a91f,
+    0x8c69eeaa, 0x58135135, 0x3c8c0b07, 0xe833fc17, 0x0aaa8957, 0x13a851f1, 0x4c2c3134, 0x28b9c5dc,
+    0xd5b66a45, 0x8eb4aacd, 0xffce9194, 0xac9904ad, 0x049568d3, 0x1f4c8d55, 0xdfaec550, 0x8b2ce55e,
+    0xb3df23b4, 0xfa0efa82, 0xa10bf7f8, 0x12e6334e, 0x011c744b, 0xe0956fcd, 0xa337605d, 0x7ef429c0,
+    0x43a08e80, 0x9873ee5e, 0x40947e8c, 0xc6a06947, 0x41438ab8, 0xea718083, 0x5a0e4fd0, 0xcdfe634f,
+    0x68c5db14, 0x1d69c1bc, 0x4f6b0902, 0xd61d8959, 0x14609bbb, 0xd1dc17ce, 0xcbe3b13b, 0x5025173b,
+    0x1632ffd9, 0x7821cd66, 0x4abd654f, 0x9971288e, 0x1527e123, 0x3fc2667a, 0x0ec2f9f2, 0x2fbab5d2,
+    0xc49d0e44, 0x0542df7d, 0x211e05bf, 0xe077ab95, 0x18c501d3, 0xf87204a2, 0x5d2fcb6c, 0xbee7b1c9,
+    0x59a52d8b, 0xcf41dbf8, 0xfc27c2a3, 0xba9accf9, 0x40bb0757, 0x8878ac8f, 0xc20a0fe3, 0xefcd2884,
+    0xf7efa5a1, 0x9169f860, 0x7ad0ec83, 0x9173deaa, 0xd948ce51, 0x844cabb9, 0x8724676b, 0x68971078,
+    0xc6453a63, 0x90ae93f4, 0x7f152d95, 0x33e658aa, 0xc83c045f, 0xd7a06aea, 0x15002386, 0x9ec4d948,
+    0x6b8888d6, 0x4bafc44d, 0x2947479b, 0xaec89d22, 0x58fd7dc7, 0x00a678b7, 0xa1b1a52f, 0x102f4ce8,
+    0x77c718c6, 0x7ca3b466, 0xdc51aac5, 0xe0ded999, 0xbb7ef2db, 0x34abab6e, 0xea7c7c9c, 0x619620d0,
+    0xbbe4a51b, 0xd3f433df, 0x2108b115, 0xe0cc75f4, 0x605e6fba, 0xece74575, 0xa3f584d3, 0x15e26612,
+    0x320622a2, 0xa77f0a8d, 0xaca84019, 0xe5c1f294, 0x37376919, 0x7f408650, 0x65bbf9be, 0x96735a24,
+    0x9e467bf1, 0x76fdff99, 0x74e32f61, 0xb5db08b4, 0xab5dce97, 0xf9587cfa, 0x98a64ba8, 0xdbeca7ab,
+    0x18ba48fe, 0xb111864c, 0xade9cbc3, 0x255ebf2d, 0xe4fb3426, 0xb711d514, 0x52c1efe9, 0x096553a2,
+    0x550d5612, 0xba637371, 0xa04cf350, 0xa7d93a49, 0x86bfbb82, 0x0d8dbe5c, 0xc20a19dd, 0xf1a5e4e4,
+    0xf0b224e7, 0x45db0d62, 0x00b8e0c4, 0x8c6daee8, 0x68de47f3, 0x09cbe6be, 0x88112260, 0xf13ee80f,
+    0x709abf9c, 0x90ad901d, 0x96462685, 0xef991078, 0xfc9a841b, 0x0fd74eb3, 0x0f6a39eb, 0x37653d6c,
+    0x767aecef, 0x51e86955, 0x384ce75b, 0x55c44261, 0x96bd2758, 0xc613f1b0, 0xdf8fbd44, 0x179ddcc8,
+    0x1207a478, 0x59243c93, 0x6c096557, 0x68e9b6af, 0x6865e7b5, 0x9daf500b, 0xc037a2c5, 0xb322786c,
+    0x3ac3b563, 0x2dbc46da, 0x6e721cb6, 0x50bb34ef, 0x7df3096a, 0xa5de36ec, 0x3e6686b3, 0xc9a8add4,
+    0x783749a7, 0xb331b3a5, 0xe8ca6a0c, 0xcdf2560a, 0x5a1c3425, 0x8ca6cd46, 0x112579f6, 0x7e9cd0f8,
+    0xfdb15e0b, 0x5028520a, 0x7caff7fe, 0x2bdc9695, 0x2b54c2fb, 0x632c3b6f, 0xb609f4c9, 0xa3f975ce,
+    0xbbbb9b2a, 0x18020c3d, 0x87722234, 0x497818c3, 0x865f395f, 0x30e1b3dc, 0x6229756c, 0xc3961a46,
+    0xade693ba, 0x47513c6f, 0x996a8d5d, 0x5f3c865e, 0x00a628e2, 0x330a92ac, 0x28547474, 0xb9490ab0,
+    0xcf3144ac, 0x74cf1eaf, 0x2eb75d34, 0x8b6f3a18, 0xa1770588, 0xb6e8ac95, 0x98d5c021, 0x2ad0bca2,
+    0x38054491, 0x54d246eb, 0x12849390, 0x03709302, 0xb2f1c85a, 0x09ebc54c, 0x60c13e3c, 0x7639bc1c,
+    0x5c4168c7, 0xc29e601c, 0xb42adc9c, 0x353440f0, 0x52dd9be0, 0x37ee1da0, 0xb0f2341f, 0x9e31b820,
+    0x3b36d958, 0x475967b9, 0xbe8860db, 0x506c52b1, 0x735d8e27, 0x988595db, 0xc9513d4d, 0x5e21569e,
+    0xe447e567, 0x2f7cac65, 0xca959f30, 0xf920fc29, 0x27273fec, 0x43b55104, 0xb53e8f6d, 0xef20469f,
+    0x3cb0822a, 0x7e75b868, 0x7a2ed834, 0x91265231, 0x1fa06d56, 0x1a8ed4fd, 0x8a9bd0d1, 0xb8965992,
+    0xee91828d, 0xec286ca9, 0x717f299e, 0x76d364ab, 0x3f414e8b, 0x208f9d4c, 0x0d9f49d7, 0x21e0bb40,
+    0x4c0c7894, 0x7a8646c6, 0x5da25d4c, 0x32fe1ae3, 0xc3d83370, 0x5dae8722, 0xc5900121, 0x7c2f95ba,
+    0x52a6e532, 0x07577724, 0x97cf711a, 0x8146016e, 0xaef9a0af, 0x6dec7cde, 0x04ede333, 0x4de16e8f,
+    0x7b7ee5c2, 0xd28d3a44, 0xfc1a16fd, 0xd510d315, 0xa489c900, 0xb2687c4e, 0x46a95ff0, 0xf8a98cfe,
+    0x9a528851, 0x9de347d1, 0xf5fdf623, 0xde975e4f, 0x19b08cbc, 0x64e69eab, 0xd8654fed, 0xe41ea485,
+    0x757fba6d, 0xd4b67d66, 0x810322a9, 0x08d70cc2, 0xcca05528, 0x1740c558, 0x73140e44, 0xf2646c08,
+    0x802580f9, 0xaa8b0588, 0xc5546cc4, 0x0b182079, 0x43eec95c, 0x162aa2c3, 0xcd9f71c6, 0x2c6792b7,
+    0x00e13967, 0x5ec6e75b, 0x724f50b9, 0x63dbbba8, 0xfa6d0142, 0x6ef068f6, 0xd8245200, 0x201a62a5,
+    0x8c75821c, 0x8a487f4a, 0xa42f0b40, 0x29dde094, 0xdf01247b, 0xa526d8e2, 0x0262c4f9, 0xc0159499,
+    0x8cc37128, 0xda0df675, 0xa5188218, 0xe74f71c9, 0xd6384a2a, 0xd2623180, 0x2b997ae8, 0x33d60f95,
+    0x2c902bb1, 0x2ef0c9f9, 0x6a875027, 0xdcc6f255, 0xfcda7f80, 0x332690d0, 0x9a4edf5f, 0xdfb685d8,
+    0x51fa3722, 0x3a5e6e23, 0x3abbf250, 0xe31bd601, 0x6dfef513, 0x31bfae04, 0xc21076c5, 0x6908bf46,
+    0x4f0431cb, 0x4a8fc0d8, 0x6812ab7c, 0x7c6ee1cc, 0x44515823, 0xc71a763a, 0x6d3cc8c5, 0x96bc8e78,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0001766847064778384329583297500742918515827483896875618958121606201292619776 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc92, 0xa6fefa2f,
+    0x00000000,
+    0xf855d585, 0x5f5a012f, 0xea642f1c, 0xfddfe582, 0x7c42f2f7, 0x4e845180, 0x053fbbdf, 0xa333aa1c,
+    0xb0a7f9c0, 0x0301af4d, 0xf2f8fadf, 0xd31164ad, 0x976c65a8, 0x226ae755, 0xd4990849, 0x9f338897,
+    0xfe5f6a7c, 0xf7d9a564, 0x6bbce3a4, 0xdbb3fc17, 0x75b9d499, 0x6a6a9c53, 0x2bed3ce1, 0x61ed6080,
+    0x5d44fea2, 0xbe6d7368, 0x6387c8f7, 0xf85fbca6, 0x830785f2, 0x21735b4d, 0x6c411386, 0x488fecbb,
+    0x1378d903, 0xed77410a, 0xd0785b15, 0xb69a66de, 0xcc43918d, 0x28586a21, 0x3ba4dc3b, 0x8c5979af,
+    0x4ddceabe, 0x8dc8fde8, 0x6e4146ca, 0x742d65b1, 0xfdfb69f9, 0xea4c2262, 0x0ed83753, 0xa7006694,
+    0x7d366352, 0xef34b3f5, 0x5793a1e3, 0x0a7d84af, 0x7712ddcb, 0x126cd002, 0x22cb9d53, 0x262528d7,
+    0x79f6beed, 0xaac43612, 0xbe9fd723, 0xcf427f03, 0x8a0adf6b, 0x625d8994, 0xf6a3fde0, 0x7b8c194e,
+    0xfc5c734c, 0x6a6f1e19, 0x30ce8c45, 0xa05583b3, 0xb2ea03ba, 0xa867af31, 0xa85c7e82, 0xe69683d9,
+    0x161289fc, 0xa09b1ed1, 0x4ac33296, 0x51d15bc2, 0xc41f5f24, 0x68a44b06, 0xe4f88b64, 0xbe22aeb1,
+    0xfd8f7707, 0x048b7afc, 0x3d092d19, 0xa2d5aaf8, 0xe1df87a3, 0xe84e646a, 0x9bd7e295, 0x292fb56f,
+    0xafbba12c, 0xd5e77cb0, 0xc38fd7dc, 0xd56dfb81, 0xef059cdf, 0xc7bc7300, 0x65cafb6b, 0x05e0a5b7,
+    0x6701f882, 0x61485634, 0xdf9966d8, 0x49fb5ccd, 0x89d448bb, 0x60e76fd7, 0x73969700, 0x64671602,
+    0xa21a112e, 0x7ae887e5, 0x24729c2b, 0xc2411c7d, 0x977d8c96, 0x78bf276b, 0x7e51ec50, 0xf44d15e8,
+    0x863b0a4e, 0xf1f534db, 0x15f3b331, 0x68a2870f, 0xd1514067, 0xd38f4491, 0xb6705275, 0x0b09dc3e,
+    0x28430d75, 0xe937acf0, 0x6dcae061, 0x398785cc, 0x6a361020, 0xb8e762fb, 0x1660a1b9, 0xf3641432,
+    0xdfceb78a, 0xed349338, 0xf2b7e8eb, 0xf14418e2, 0x5e18f532, 0x7ae0659c, 0x09724e30, 0x209a61ea,
+    0x079a51e3, 0x8bf6f0c8, 0x69a01dcb, 0x1bde159a, 0xdbfb367e, 0xf04303d1, 0x2e752f9c, 0xdd76e822,
+    0x70c03b85, 0xe43cbfe6, 0x0ec855e2, 0xb171e005, 0x93d1467a, 0x79c4f1fa, 0xc53e0d41, 0xffa3b923,
+    0x8fa82368, 0xe6ffd412, 0x7a7caadb, 0x7a7595f8, 0xcd0f0422, 0x26031820, 0xcc299b56, 0x87c0c50a,
+    0xdc4346b5, 0x07a9ebfb, 0x1536f26f, 0x71adc7d8, 0x419772ae, 0x4ce18d66, 0x856c1b87, 0x8d55e27f,
+    0x0dc84d06, 0xfedfc041, 0xa367ddbd, 0x75195f8a, 0xf54b95ea, 0x4d1a259c, 0xb5513584, 0x717a1c2b,
+    0x278affcd, 0x283ac71a, 0xe63157d0, 0xf16b0cc8, 0x4e95105b, 0x5e347570, 0x8296b13b, 0xa3417b65,
+    0x2c12c7b1, 0xd4c7eee9, 0x0e03c065, 0xcbbd3391, 0x8c8d1b03, 0x8b43160a, 0x0a1afbf4, 0xd8d8e3aa,
+    0xeb3f00f4, 0x496e30f4, 0x592dcfbb, 0xa994287c, 0x3bdbb153, 0x36a00354, 0x42063959, 0xfedbbfe4,
+    0x58641612, 0xdec9aa5e, 0xa196cf53, 0xaf00bee8, 0x6c1782d4, 0x1e4473f5, 0x3ef7494a, 0x5c3b4274,
+    0x50807d9d, 0xb8bac9cb, 0x4f98f72c, 0x78c6ebbc, 0x2614ae0a, 0x06faae2b, 0x8f012a30, 0x335e745e,
+    0xfc946a93, 0xf0ef61b2, 0x5af28d6b, 0xa0ddf30a, 0x405f3603, 0x7e8b4de1, 0x300a1b2a, 0x2646aef0,
+    0x667c8336, 0xce400c98, 0x0528e3ed, 0x086f3c60, 0x1e16fbaa, 0xcbf5d004, 0xd06407a7, 0x64c39d5b,
+    0x34fbd87c, 0xe5c99d51, 0xc94f6fe7, 0xfd236f97, 0xba805e20, 0x59a665da, 0xfddf9913, 0xc1cdf382,
+    0xb771d143, 0x82526d9c, 0xcedc2e60, 0xb327bce1, 0x8de2d389, 0x900ff988, 0x2c0e241d, 0x4672ec0f,
+    0x82cd52e2, 0xa6ec7ea6, 0x51ce43d1, 0xc728bc8e, 0x8d74473a, 0xc2b8b8a6, 0xcf1fb6f6, 0xc00d2a4a,
+    0x673c5136, 0x9fa28d9b, 0xba4d1609, 0x85d1ba59, 0x40d8ab66, 0xa3b15368, 0xce92a684, 0xd274d1de,
+    0x2566f336, 0x6164b451, 0xf00750cd, 0x7b0a9946, 0x3662c1de, 0xbe4f4216, 0x78dc730f, 0x15794f16,
+    0x81c5d999, 0x8aa9e45b, 0xa3e533f4, 0x05724fce, 0x16a8dede, 0xee4e9a3e, 0x7204b6d8, 0xd1471ed0,
+    0xaa1689e4, 0xcba578be, 0xe0f9f65f, 0x78a34518, 0x1b6d8294, 0xd85864d2, 0x8fda78aa, 0x994c03bc,
+    0x448625b9, 0x891997df, 0x9b96a7a9, 0x76f7efae, 0x63cd4c97, 0x6e6b5688, 0xc8f50f4a, 0xd7a8324a,
+    0xc11db401, 0x6c96f00b, 0xecf927fe, 0x3a714f62, 0x7c851732, 0x5792bfa4, 0x98b5c86e, 0x0dd2f52d,
+    0xd8be34b9, 0x7a901f6e, 0xee724f1b, 0x4bddc188, 0x545e5713, 0xb1d422a3, 0x22051788, 0xd3ab300f,
+    0xd9bb28bd, 0x78244213, 0x4cfa0864, 0x39cea6ed, 0x07a9cce2, 0x8a977ce4, 0x61b8ed68, 0x54cbda23,
+    0x853298e8, 0x959cbae4, 0x0b9a44d6, 0xdcdb82d5, 0x4dc91b7f, 0xaf593401, 0xe54e6cc2, 0xa352a0d0,
+    0x159e7464, 0x54669330, 0xe9b0e4a6, 0xb1becb51, 0x3b7f7071, 0x976f8dcf, 0xd2c1c163, 0xe244c74f,
+    0x7117c712, 0x66e90461, 0x26c42304, 0xe9e9d10d, 0xbf6a0d55, 0x94a69609, 0xa8ba0119, 0x19ab5d5f,
+    0x89284b55, 0xf16bd74e, 0x19cfce93, 0xb229ca1d, 0x7bdb02ea, 0xc3a8e4cc, 0x81409b28, 0x2ea9a38f,
+    0x8c66a9c4, 0xd4e2bfb5, 0x3716aec9, 0x26e13fde, 0x5bcb4bed, 0x347d965c, 0xaaadbc52, 0x448f5c93,
+    0x69805657, 0x6e974afa, 0xf2404c96, 0x09e90fa8, 0xa645c541, 0x2e7370b3, 0x7501903b, 0x1a1de535,
+    0xd4d40829, 0x9b031997, 0x91c29143, 0x779b86ac, 0xf5bfcda7, 0x49e56c55, 0xae9eecd2, 0x664a7c91,
+    0xab24a616, 0x86136387, 0x9d914996, 0xe1defb60, 0x0f85b2ac, 0xd646e478, 0xc1e7282f, 0x4ae89a46,
+    0x62d880ad, 0x6deb6dd8, 0x6be5b298, 0xaab66de1, 0x61218349, 0x5bf4eddd, 0x6160c90b, 0x5358676f,
+    0x563c8014, 0x543a7264, 0x961061df, 0x6e108786, 0x722d800b, 0x148602c5, 0x0b2c144c, 0x46dc2800,
+    0x461791a6, 0xadea5f8e, 0x0b411a4f, 0xd947f86d, 0x2052200f, 0xe0b9bfba, 0x97f9b52f, 0x163d95e3,
+    0x69fd74de, 0x0c67b7d1, 0x48e50968, 0xca841e29, 0x83ecaa45, 0xd1c07fa3, 0xe34bddc3, 0x16ea23f0,
+    0xe125bfca, 0x817207fb, 0xaceb12aa, 0x628d2539, 0x55b4a737, 0x7a6d886e, 0x75ea0d4c, 0xaacd3eb7,
+    0x88a1dae2, 0xb72a69e0, 0x463908ca, 0xa82a96ae, 0xaec1222e, 0xd45539ba, 0x1c5564cb, 0x534160e1,
+    0x91240b05, 0x37953307, 0x3f633ab0, 0xd43ee483, 0x329bfb23, 0xcea56cc7, 0x1e50901e, 0x74f20a06,
+    0xad861384, 0xb1270177, 0xd39cc4d7, 0x7d49533e, 0x8b5cc80d, 0x94ae4aeb, 0xad776d68, 0xe42203b0,
+    0x040b419d, 0xa588229e, 0x67cf253b, 0x52b03c72, 0xe62cbbaa, 0x65f2ba23, 0x1c49763b, 0xc8eb927d,
+    0xa9ae5e62, 0x9da728e8, 0xa1c45da7, 0x5158df43, 0x76d8f714, 0x63e75741, 0x41ca570a, 0xbfeada72,
+    0x7c849aa9, 0xd5cb0630, 0x6fe1f9df, 0xc1100693, 0xf9bf9194, 0x065e2da7, 0xc577daac, 0x0e0a27cd,
+    0x489dc64b, 0xa10f85d9, 0xce1b1d1a, 0x0bcc5b27, 0xd3b041b7, 0x5ac66618, 0x6f3e090d, 0xb9cd18a2,
+    0x54c55a4f, 0x6802a38c, 0xa49d597d, 0x72f00e9d, 0xcaa72a4e, 0xd6fa2868, 0xe3e4ac4d, 0x4e6bcf1e,
+    0xd96da48f, 0xbcb1a723, 0x43fed0c8, 0xe308c4d1, 0x98414db5, 0x430fabd2, 0xa59a5ff8, 0x4960b338,
+    0x73fdfa39, 0x9c5fc8d8, 0x24cff2e2, 0xf8f299c0, 0x55ab6701, 0x659eb794, 0x1e4cd949, 0xb1ecbda5,
+    0x5b958fea, 0x4adc457e, 0xc4eb6b4c, 0x7c60b480, 0xe0bcd9e2, 0xee73bb84, 0xc52faea0, 0x0f381680,
+    0x1bd31640, 0x7da2844b, 0x81357479, 0x3ced5796, 0xa59b604a, 0xd43b02cf, 0x9f27cf7e, 0x07ce9771,
+    0x55134800, 0x8875441b, 0x6279dc8f, 0x44e04859, 0x6dd278ae, 0x08ff4fa8, 0xc2d60222, 0x46186bf7,
+    0x983689ad, 0xe00afad8, 0x9c1086c8, 0xb1aba9b9, 0x7dda0b9d, 0xe7037884, 0x8a9485bf, 0xc36e6184,
+    0x73ddddac, 0x80b622a3, 0x7bd8bbb7, 0x3b90d224, 0xd61f5b6b, 0xa09b5dfe, 0xed29fa31, 0x8db3667a,
+    0xf1b233eb, 0x260af84b, 0x9726e162, 0xda4ddcec, 0x60e0eef2, 0x363af327, 0x8f2c5337, 0xfef3a173,
+    0xd2531962, 0xd6dd4443, 0x66423848, 0xa075fcf7, 0x62947480, 0x84b2d40c, 0x9dfef78e, 0x58f42234,
+    0x27bd0412, 0x6370366b, 0xa74414a8, 0xea2fe70a, 0x68abb5b8, 0x176b8426, 0xef0698ad, 0x3ecbda50,
+    0x5d22cd33, 0x0718464c, 0xd44fd585, 0x0ce7a0a3, 0x2b89068b, 0x909baa45, 0x6f56c50d, 0xb72297ad,
+    0x5e9bbeb9, 0x592266d7, 0x0a5e29c1, 0x2f90cbd0, 0x9c607368, 0x5cd63a28, 0x76bd95d4, 0xdc522526,
+    0x93d950fd, 0x75b6317b, 0x217d8c8e, 0x8985f687, 0xb145f2f3, 0x712f0d8a, 0x7359626a, 0x0a95d31d,
+    0x64a076b5, 0xb9c82446, 0xf38046a2, 0x5395a816, 0xe72c0e2a, 0x63812e28, 0xbb5e6733, 0x345b5240,
+    0xb2715e6c, 0x6fab2015, 0x42cc7883, 0x10198a4c, 0x8d9f5fbf, 0xe0984816, 0x2cf234e6, 0xea6a3b1c,
+    0x3365eaab, 0xc9119b0a, 0xf024cd35, 0xe6a25370, 0x1b2289aa, 0xa247eaa1, 0x63b32370, 0xf4c9cc3c,
+    0x711e1099, 0xe366baa3, 0x6134e8a1, 0x27b04bc1, 0x87433915, 0x5a29bb92, 0x959f0389, 0x35bfb0fa,
+    0xe19fc2ea, 0x2dce3f11, 0xdc499445, 0x1e1baf17, 0xdd2612da, 0x10ce74ee, 0x5dd94138, 0xada7a128,
+    0xe529a0bc, 0xe9d77d78, 0x6d65cd5a, 0x4d58d35e, 0x8a21e475, 0x72f5a0f4, 0x32cf7f52, 0xe98064fb,
+    0x7b860bed, 0x4a18298d, 0x2f7db7bb, 0xd4854956, 0xdacb6773, 0xb3838c7d, 0xd61897e9, 0xba5206cc,
+    0x7c23077c, 0xef7d5958, 0x8b989e7f, 0x823687ee, 0x1f07e528, 0xfdd6224f, 0xbe638314, 0x50d9bd55,
+    0x95eb035d, 0xa7b833ae, 0xbb013f68, 0x95c152ee, 0x3e40dde3, 0xbf9c576d, 0x1f882e4f, 0x00dd72ea,
+    0x0c8d279d, 0x79178637, 0x8f2ef3a3, 0x21a4b4c0, 0x91d97cc2, 0x0425748c, 0x7a01c4d8, 0x7445aa6f,
+    0x1c33ea07, 0x0fff7c79, 0x0b7bf951, 0xd0892a0c, 0x882ce478, 0xfbe6c6e5, 0xa0a6eb22, 0xed0392d9,
+    0xf76e7ea0, 0x04bb64e5, 0x38dc7541, 0xd74b950f, 0x16a3665a, 0x0fe48fb8, 0x7f22c0bd, 0xe5ac86e4,
+    0x6c3b0357, 0xd0e77393, 0xdf151219, 0xd2b903c8, 0xafd316dc, 0x35a8a2d5, 0xce92d978, 0xbc0fd15d,
+    0x32a31be7, 0xc32f06e9, 0x8aa16e80, 0x70e927f3, 0x8e6f3d8d, 0xc55fef53, 0x4376add2, 0x0f1a28e7,
+    0x6328fea8, 0xc68fe479, 0xa50463d0, 0xa43adc3a, 0xebe83377, 0xcf8c89b2, 0x349ec5b3, 0x5eb444e0,
+    0xfddd3fba, 0x0f715b37, 0x12758e8f, 0x85d86db5, 0xe3761c63, 0xc60c1eba, 0x518d27bb, 0xb2dd1348,
+    0xa3fe11cb, 0x4c188454, 0x4cd84450, 0xbc28e760, 0xef742e54, 0x26608faf, 0x7db8c6ff, 0x91df0cf1,
+    0x21f48b48, 0xb012cf4a, 0x564e31b8, 0xc1629c36, 0xb22304ae, 0xe9d1710a, 0xce0114d1, 0xe16d7bea,
+    0xe84f7f5f, 0x394f7fba, 0x18c0fe1f, 0xc8e9790e, 0x793366f1, 0x3b778277, 0x8e14bf53, 0xbd63dcdf,
+    0xb8bd1fae, 0x89519e00, 0xea4aac0f, 0xcaa769ad, 0x9a0178e8, 0x066c9020, 0xc3ed3ca7, 0xd5b8a7ac,
+    0x26c1cd5f, 0xad840a29, 0x0961ef06, 0x7991c8be, 0x9f7ce97a, 0xa31339e8, 0xf86af33a, 0xe5ef8c6f,
+    0x168f879a, 0xba52f312, 0xf4bb0bba, 0x9b7ff31c, 0x9efddf0e, 0xbb16129a, 0x5a2ec88f, 0xff14983d,
+    0x25c446e5, 0x729ccc81, 0xc8038be8, 0x96a25ae7, 0xe69f8b29, 0x5d53ca07, 0x4b22667c, 0x7eb59fb7,
+    0x0626696e, 0x65658c70, 0x0c5c0787, 0x0e11bb85, 0x22471069, 0x848c6223, 0x2da44846, 0xb2889e3e,
+    0x72d37c17, 0x625e0878, 0xa33e75df, 0x0805bc27, 0x922681d5, 0x94a1c80e, 0xbb51c40a, 0xf64e65f5,
+    0x464019c9, 0x3728842f, 0x5547632b, 0xb6deb496, 0x95c2f7df, 0x0201bef1, 0x7be581cd, 0x25a9954e,
+    0xd6fd1959, 0x2d17a1d8, 0x24ddb631, 0x0ee22b86, 0x5b96548c, 0x6f03772b, 0xf63db277, 0x13dd6977,
+    0xf3cd97d8, 0xa8af5eef, 0x8c5268be, 0x48a0b369, 0x4efbcec6, 0xdc2763df, 0xeea3b6d6, 0x87f67e7d,
+    0xdeab90b9, 0x6d4808ff, 0x000a0f5d, 0xbdd0ad67, 0xa0b6beba, 0xbf11b0cf, 0xe92a8e53, 0xc600f9eb,
+    0x24e1daad, 0x200f727f, 0x6e14d90e, 0x1ff9530c, 0x8e6f3c9d, 0x7dfae343, 0xb4593445, 0x3ee13d01,
+    0x2e5b1ef5, 0xf90221e6, 0x8381d378, 0x4abab5a3, 0x81800ddd, 0xa92ff99f, 0x73fe3271, 0x78e0954b,
+    0x608fe012, 0x51289356, 0x3e00016c, 0xd54adef0, 0xd8718267, 0xb425da9d, 0x2c7a9f10, 0xdff7fad5,
+    0x41394d25, 0x8e5b44a1, 0x5225fe76, 0x2ba38281, 0x8dc1b5e1, 0x8f39d50a, 0xaac150f7, 0xb0ef0383,
+    0x009001c6, 0x0ceb2b8f, 0x09b26949, 0xedb2a6c2, 0xb6af5bd2, 0xcce1f171, 0x9d2ac4cc, 0x05bba13f,
+    0x53837db1, 0x0a5c0e0f, 0x692525fc, 0xe0677614, 0x597cf039, 0x68614ad2, 0x8ffcda17, 0x1985f78d,
+    0xfaa276ac, 0xc8ed9211, 0x344e7374, 0x76b3110f, 0xc3f79a90, 0x130a1555, 0xb3fd77cf, 0x7b8c3e2f,
+    0x843e04f3, 0xab21495b, 0x37cadc5c, 0xf95f0e1b, 0xf86eadd5, 0xac627864, 0xc3334e74, 0x2a95f540,
+    0x1c95a59f, 0x6a08273e, 0x4c24e05f, 0xba273547, 0x0cba12d3, 0x08e74e91, 0xb9bd1374, 0xc051ada7,
+    0x53accafc, 0x231cc0fb, 0x6a88b518, 0x93a5ebeb, 0xd809feb0, 0xdb4f546b, 0x9c89156c, 0xe4de964f,
+    0x709e3bf3, 0x54788c6c, 0xedf9cf71, 0x0307f8c4, 0x4c5cf3c9, 0xe963c2fa, 0xeda7084c, 0x0246a1f8,
+    0x3104673d, 0xa9f8c8f6, 0x59b85e0f, 0xbd276517, 0x7d16e964, 0xab98390f, 0xbd1d7094, 0xcfd2d101,
+    0xa2a1dddb, 0x149461a2, 0x9e4fd5da, 0xae1c5cc9, 0xe579b2e4, 0x297a8889, 0xe036c0dd, 0xc01a4175,
+    0x7a1586d1, 0x4d771435, 0xc8e663f8, 0x3493e269, 0xdee145ad, 0xe6ea5623, 0x5c5a4920, 0x1854a7f9,
+    0x5225a10e, 0xcdd9572d, 0x2b359c0d, 0x9847805c, 0x5fdbc333, 0x814c8227, 0xbe44e37f, 0x9a8af474,
+    0xbe92df6e, 0x883d940d, 0x9348b361, 0xb4cbb2b8, 0xd224a9a0, 0x624b4c4a, 0x966a8b9f, 0x27d8713c,
+    0xac61792a, 0x767a4b86, 0xdd4a830f, 0xaf346454, 0xbc876d38, 0x7189c989, 0x4d1fc49f, 0x389260fa,
+    0x960f1772, 0xeca9050a, 0xe84e2f7e, 0x08d91a5e, 0xfd68997a, 0x380d7d89, 0xc626cbfb, 0x8dce534e,
+    0x3151b3e3, 0xb493dc0e, 0xff098165, 0x9c2a67b4, 0x4bbc202e, 0x9e9c7b54, 0xeab6429b, 0x2611805d,
+    0x78fb5e2e, 0xb6bf0ddc, 0x4ea2cd8f, 0x7c2df795, 0xfdf7937b, 0xd10ea0c5, 0x3db8a0a8, 0x7fa31aa7,
+    0x72278226, 0xa5a8b723, 0xd1b644c7, 0x14fa13f6, 0xf30bc7a0, 0x02626c65, 0x51b9efd8, 0xd656aa41,
+    0x47ea528b, 0x21c89224, 0x8124654f, 0x64db7f8a, 0xb8b603e4, 0xf728a6b8, 0xd0b24a4c, 0x6e195a71,
+    0x9fd2351a, 0xc446b35a, 0x893c743a, 0x3bb68b38, 0xcf29888f, 0x285dbb5f, 0x8ae13292, 0x629a6d0a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000883423532389192164791648750371459257913741948437809479060803100646309888 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e49, 0x537f7d17,
+    0x00000000,
+    0xb249f29f, 0xf08c40a4, 0xd83ef19f, 0x14f16ba7, 0xf9e69979, 0x99776219, 0x4f2ecb4c, 0x058e54cc,
+    0x23062bf6, 0xed7c2e3c, 0x24d16700, 0x420f4373, 0x510652b3, 0xf6b76e13, 0x445cdb4e, 0x29f64372,
+    0x664605bf, 0xece0439e, 0x91df163b, 0xf5b3f2d5, 0x9443edce, 0x14d6c2f1, 0xe813e9e6, 0xd6ea32db,
+    0xa42ea15a, 0xb8983170, 0x59c0a50d, 0xd2082426, 0x4ff53b45, 0xfb026b36, 0x0dd6d607, 0xc4c09329,
+    0x013cacca, 0xb6d8cc27, 0xf889b52e, 0x55ae6a6f, 0xf9b1821a, 0x434af418, 0xf94fd2f8, 0xb752f752,
+    0xa39d6015, 0xb11da74a, 0xa22a3368, 0x6f2a9864, 0x760deef7, 0xa2d954be, 0x4d494798, 0x534553f1,
+    0xd30d8c02, 0x3f67dc1f, 0xf94b0cd6, 0x5e107150, 0x0ac9a12c, 0x1e1f293b, 0x56dfe04d, 0x8d690e2a,
+    0xab0ca70d, 0x9ae60b08, 0xd2266a8d, 0xba0daf5d, 0xc89752fa, 0xe66f7553, 0xc32475ed, 0xfdcf91cd,
+    0xd4022bc0, 0xa35b8e53, 0x715225d8, 0x68ac95dc, 0x39bf346f, 0xf5d66d88, 0xdf9384b0, 0xc00ee045,
+    0x16054607, 0x82051a48, 0xc6f8b75f, 0x23f52fad, 0xf4499a94, 0xd15e7c10, 0xb78102e6, 0x25b803eb,
+    0x2d985e3d, 0x401fd7f4, 0x8f7bae2e, 0xd7e6a759, 0xeddfb086, 0x7ff9bc3e, 0xf78c563f, 0x93230308,
+    0xcbea9f5a, 0x90b0d6fb, 0x64c1875c, 0xfa336768, 0x1389e7bd, 0x4d0b8a74, 0xacd91a18, 0x68fa75f8,
+    0x4aa465ae, 0xed4b7b8d, 0x8a0e9231, 0x91c741f7, 0x76eef862, 0x7c2cda6a, 0x938252eb, 0xd0eab780,
+    0xb5819d5e, 0xa3f2ee1c, 0x965513e0, 0x7d71d193, 0x36c293cc, 0xc76f6918, 0x1b5b6c4e, 0x34fb8f0a,
+    0x2c12122a, 0x0a2655d0, 0xfab3b8d4, 0x568e6366, 0xef12e339, 0x9987faac, 0xf65669e1, 0xe6122081,
+    0xdb9b7811, 0x8df90d89, 0x4e799708, 0xf9e3f4fe, 0x693bf22c, 0x2c81bad5, 0x73678a93, 0x89a9c641,
+    0x67af97ee, 0xa0e13c35, 0x377cd94b, 0x83fa0c5f, 0xd32c04fc, 0x361eef31, 0xf95c6606, 0x88f94317,
+    0x074b3f27, 0x55c22776, 0xb55b8a23, 0x9b1785b8, 0x90d6e0c1, 0x40584d89, 0x4a0a5384, 0x022d3655,
+    0x53e73d63, 0x7cb557cd, 0x2d5d684a, 0x979d27f7, 0xa50bbc55, 0x3337f92a, 0xdbf42a89, 0x4b1f7a73,
+    0xfe8035d1, 0x5722aeee, 0xebd1d123, 0xe6b6ee12, 0xaf43cf8e, 0x1114d8d6, 0x0f9b6a3e, 0xfd2ca8ab,
+    0xb4e0b6bf, 0x74c09425, 0x4910eea3, 0x9e9b9638, 0x673aebe8, 0xf0181b19, 0x2b072fc0, 0x067ba742,
+    0x3ba3ba39, 0xef48d1e0, 0xe55ed99d, 0xff2bbe73, 0x364a8b79, 0x2d5cdca0, 0xfc2978f4, 0x4ebb156b,
+    0xd24dcd96, 0x547b8d1b, 0x533be216, 0xf80fac05, 0xeb790edb, 0xeb2f17bf, 0xbd3b74ad, 0xb8db35f7,
+    0x896e06a2, 0xb8853230, 0xf8607162, 0xec60aed9, 0x95b55f27, 0xf07fd09d, 0xb71952e4, 0xf9855c9c,
+    0xc54c3cc8, 0xfe61c6f2, 0xbdbc4f3c, 0xc1207485, 0xb77e11f6, 0x460595c0, 0x025f3d63, 0x88dd5813,
+    0xc50ebaa4, 0x323d8e84, 0xee88ef5a, 0x2e81161a, 0x26a3ba39, 0x74968ab8, 0xee4db4d0, 0x55e8fc98,
+    0xa43ceec2, 0x0609605e, 0xcda7f71f, 0x1dbfe778, 0x02cb1eac, 0x55943552, 0xf5421269, 0x38ac30bc,
+    0x96a18708, 0xe5813f56, 0x8d2f61bc, 0x29387ba1, 0xcd743b55, 0x4fcdf958, 0x8015efaa, 0x2f59664a,
+    0xb5b8a5cd, 0x5c7edec0, 0xf5d4c40b, 0xaf850f06, 0x0b01c6be, 0x744b1174, 0x2589f304, 0xdd2b935d,
+    0xb1a2abc4, 0x75f0cd11, 0x7b7e182c, 0x5e6cbfdd, 0x935d796a, 0xb601e870, 0xa0330777, 0x863b1891,
+    0x65b60615, 0xae03965a, 0x674271cc, 0x61d8f8f4, 0x660959f0, 0xb33f5f81, 0x10e550f5, 0x511b8659,
+    0x6041226b, 0x119e377d, 0xc2e4e4dd, 0x8710fdce, 0xaa8ec2d6, 0x4d36a7e0, 0x981b5e64, 0xe20a5487,
+    0xa917b36f, 0x88881715, 0x4831403a, 0x95ad0f04, 0xdee82428, 0x065e4720, 0x1df2048f, 0xf608c17a,
+    0x6301d1f3, 0x136f70d2, 0x5e763554, 0x5dd2068d, 0xab3dc5a6, 0x9fef8a14, 0x3cd4971d, 0x82c7b505,
+    0xa41c15fa, 0x66c73c3a, 0xa21acedf, 0x0e36030a, 0xd027219d, 0xebc5c6c6, 0xecd7fca0, 0xac2c6398,
+    0x2ff2f60a, 0x0cee62d1, 0x0b0d56ec, 0xd92bd11a, 0xd161b971, 0x4411071f, 0x2211dff6, 0x326bb6a5,
+    0xfe79c036, 0xde646d3a, 0x99ec4208, 0xdd64c246, 0x42219807, 0xeb2682b6, 0xd92a2f30, 0xf194ca51,
+    0xe88e8935, 0xc72bae67, 0x90aa07cd, 0xd4edbab4, 0xd320a471, 0x195a583f, 0x23ea89f6, 0x6e3c73e1,
+    0xef654519, 0xd9bee93c, 0x5d2b7c81, 0xb0b30695, 0x4d40dc35, 0xd0c0ff66, 0xf2b2f5fb, 0xcaa97ed3,
+    0xdb373761, 0x03197a1d, 0xdeb8ff9e, 0x9bffd84b, 0xcd1926ad, 0x6872e3d0, 0x8e00be4b, 0xb276e677,
+    0x905a35eb, 0xc800c2a8, 0x5ad3fe92, 0x23438e58, 0xcf107d19, 0x6b4795bd, 0xdb3be3e1, 0xc98600da,
+    0x440a484e, 0x7901a552, 0x676c3e92, 0x28de7123, 0x46ae96c7, 0xbd2456b1, 0x56a2b5a8, 0xaf5ebc0d,
+    0x2f1bb06d, 0x68e94f96, 0x70a4790b, 0xe906e0a3, 0x08d44792, 0xc9548627, 0x3f650a28, 0x95a7898a,
+    0x5a9992d1, 0x3ec45310, 0xc8a9ef20, 0x3fe8b0cc, 0xb6a6c605, 0x36abb4e0, 0xbb5fae17, 0x7bc616a7,
+    0x8a48a4e8, 0x8ac2cae4, 0xebbd55c8, 0x5677f698, 0x78ad032b, 0xbdad6e4f, 0xf53ee76a, 0xa357fc6a,
+    0x85184f13, 0xbbdd9cfd, 0x3a371025, 0x84f49171, 0x7dd4807d, 0xc55d3ac5, 0xfed3326d, 0xee468265,
+    0x46f338be, 0x26c537da, 0xfbe3874f, 0x5b6eb80a, 0x022a7aca, 0x8cf4f3ea, 0xc320f1b6, 0xe9722f0a,
+    0xccbb3f55, 0xe19e35ad, 0x66357243, 0x996ba3fe, 0x149defdf, 0xb97b130e, 0xa72400e8, 0x9e752d16,
+    0x42f7a269, 0xe6ef58c5, 0x6849735a, 0x14483f6e, 0x3ea0cd20, 0xdfc3861d, 0xa03279f3, 0xb332489f,
+    0x521a4d00, 0xe141f6fb, 0xbb45b278, 0x7b22cdca, 0x2781e7d0, 0x3bd6793c, 0x33a5fc5f, 0x72811f87,
+    0x13a51577, 0x43f71901, 0x78ee9aa7, 0x4d1d934a, 0x4020ba12, 0xaeb8de2d, 0x6b96615e, 0x60aa7ca9,
+    0x5adfc7f3, 0xc4e44ae1, 0x5479f227, 0x51a7af48, 0x9bb78849, 0xbf84ef00, 0xd9d5cb7b, 0xdcf779f3,
+    0xfe9430ab, 0x94be12f9, 0xa60efb16, 0xb053ed4f, 0x903fdc93, 0xcc1aa587, 0xb0bece86, 0x8c27d0e6,
+    0xa9083e9f, 0xdbf74e91, 0x4f4903f3, 0x533afd9a, 0x604c08e0, 0x456170a2, 0x335dc191, 0x7c9ca086,
+    0x096bbcac, 0x2efb1a75, 0x5fef5065, 0x35a982bb, 0xccee4b23, 0x8e5db229, 0xba8de096, 0x12398688,
+    0xdeceb307, 0xadfd7083, 0xc73cbcd0, 0x1fe5ed4c, 0xdc38053e, 0x49111121, 0x95a528d8, 0xe8a61eb5,
+    0xe48962ef, 0xa451e181, 0x97106e18, 0x9c80e1ee, 0x82142b68, 0xab6d6421, 0xad492a96, 0xf9ae1700,
+    0xf3727ca3, 0x5ceaea55, 0xd37ab882, 0xb3a11cfb, 0x2978e22b, 0xc1d029f9, 0xfe5c2816, 0x785a9912,
+    0x3badf6e8, 0xa3083455, 0x0b896d60, 0xdd008b9f, 0xc8a9ea4b, 0xeaf594c8, 0x2edb4033, 0x6e0a44d4,
+    0xa045c940, 0x914052b2, 0xd2cdaf60, 0xcc1e0228, 0xdabd8b9d, 0x48d1e3c4, 0xd6320c37, 0xcf560ba2,
+    0x48a2c8d9, 0x8b75901e, 0x2c45cc7f, 0x7e634cbc, 0x72af8e02, 0x81ab1639, 0x2a90395e, 0x73cbc4cc,
+    0x7c6184d1, 0xb870410e, 0x8ddabeef, 0x7335c3c1, 0x6390a5db, 0x606939a7, 0xf8a88ca9, 0xf25700e3,
+    0x96c71f01, 0x320227d7, 0xa2a69ec3, 0xbd6c0624, 0x9caf95e2, 0xa22a1711, 0x5e012ada, 0xb737e0c2,
+    0x62dde83f, 0x6a8b4aff, 0x92527f4f, 0x65f62a50, 0x2ed106fd, 0x875ff55e, 0x70f4168b, 0x1b9305f4,
+    0xff834500, 0xbb8fff0d, 0xf10d2dc8, 0xe2efd735, 0xda2debc7, 0xca437d8f, 0xf051a964, 0xe31bafa0,
+    0xcc67a1fc, 0x444078c2, 0xee773b5a, 0xd7656ec1, 0x83dbd13b, 0x8a916489, 0x121cc60b, 0x81550489,
+    0x78a884f1, 0x4a36c3a7, 0x9174364c, 0xef56513d, 0x018c9a11, 0x45baf268, 0x287683d1, 0xa660d37d,
+    0x3eedc778, 0x60289fde, 0xdd824374, 0x234c5bd3, 0xf8176a42, 0x5674fb82, 0xf4a33465, 0xf57d6147,
+    0x8a960234, 0x6a2e9a59, 0x224685eb, 0xacc9a1f4, 0xd3dc0ca7, 0x9c6fb347, 0xc8051e4c, 0x1ce58127,
+    0x3850cdf8, 0x10ddf7a9, 0x364e827e, 0x26b36fe5, 0xf0be333c, 0xd193eb27, 0xe49031ff, 0x6589494f,
+    0xf84bbfa9, 0x7d3b8606, 0x34c769c0, 0xc719dd34, 0x8b3e9eed, 0x00999491, 0x737d6dfc, 0x9540dd73,
+    0x8963a19d, 0x764c8925, 0xe318e139, 0xf48727e9, 0xd690e393, 0xc987b714, 0x7f0324fd, 0x454ea0cd,
+    0x9e6dfe65, 0xe6c0d1b5, 0x0c114787, 0x17854cff, 0xa68eaff6, 0x62df17b6, 0xe7972ae1, 0x135bb482,
+    0x62338a82, 0x19aa10f8, 0x81863c90, 0xdc638513, 0xcd6d8909, 0x4ba85a6a, 0x5a8913e8, 0x5e9485f6,
+    0x570a1690, 0xf688569b, 0x6ad4ae56, 0xa69aff4c, 0xb8c18746, 0x43ceccb1, 0x448b9806, 0x34befe6e,
+    0x2f95a7d5, 0xdc8dae8b, 0xbce1e805, 0x11822fda, 0xf3a1faf5, 0x55fb01d6, 0x95e69d78, 0xb1fe9ebc,
+    0x82bd4afc, 0xe48a31f6, 0x549ea37c, 0x61ac4dfb, 0xc11e6dcd, 0x2406e7ec, 0x6045c615, 0x81f9a17e,
+    0x45d3a7ef, 0x8ce98149, 0xe5ba9d55, 0xdecd433f, 0xbabc6ba8, 0xa5200eae, 0xf6e797b5, 0x4f38e992,
+    0x4238507c, 0xd5db80a6, 0x600642df, 0x1c268ed0, 0xf79fb036, 0xef35142c, 0xf48751f2, 0xac1ee6b6,
+    0xfbcb7b04, 0x3d87265b, 0x1c6fe3a4, 0x5215e2a5, 0x8c73a02a, 0xb66c143f, 0xf9e1b51d, 0x4dbc3883,
+    0xc11ada16, 0x36d3006e, 0x7241999e, 0x42745671, 0x2db1f48a, 0x40ef97ba, 0x7318b9b9, 0x96e3c417,
+    0x2d6b40d1, 0x34bc6110, 0x09fb528d, 0xc8dbde70, 0x4023b32a, 0x19547a35, 0xf91e01e6, 0x5961ccd2,
+    0x69d9ba22, 0xdb258f4a, 0x6e58906e, 0xedef7c1e, 0xf0bd8af3, 0x9be53992, 0x8a0002e1, 0x4ebb41f2,
+    0x213da567, 0xe255c4c2, 0xef8e17f0, 0xdfed6f74, 0x25ba5885, 0x2d60fd1b, 0x3376e5ac, 0x2df5ee4e,
+    0x2227a9a7, 0x56e19756, 0x1de0cd1e, 0x1795113a, 0x5059ada8, 0x9be2612b, 0xbb116040, 0x2be0ff90,
+    0xc2239af6, 0x2871a2e5, 0x0749d5d6, 0x990802e4, 0x7ba913fb, 0x8c776317, 0xb7ccca38, 0xb26c3876,
+    0x03e0be91, 0xe8f12722, 0xdc9fbbb9, 0xc45b2e57, 0x01b6f1cb, 0x4d1594ed, 0x705797c2, 0xc8f0fb0c,
+    0xda243a96, 0x19f9ed87, 0xa8ffcf9b, 0x22e9a125, 0x8aa1eceb, 0xab5772b2, 0xaabc8936, 0x2e1d77a5,
+    0x0341cc11, 0xb5b39cc2, 0x3ff0618d, 0xfd39402d, 0x522c1a81, 0x0f85bf85, 0x38efe52f, 0x1f6f0bd4,
+    0x406418f7, 0x0182e2c0, 0xd5134775, 0xfc222703, 0x64d51af8, 0xc4a6bcb5, 0xe2322a06, 0x25448404,
+    0x12b8f265, 0xa4118315, 0xf5f027a5, 0xc2dcd39b, 0x0e9e9a0f, 0xf4464a26, 0x715b6211, 0x156e61a7,
+    0xe9374db7, 0x4c1ccc66, 0x1b835222, 0x7eb279d9, 0xe4db0878, 0x71c4bc21, 0x287cfdb6, 0x1c90b5bd,
+    0x69b29291, 0xce6db233, 0x5b1ae50c, 0x864b0cef, 0x529004e8, 0x0ba2ef69, 0xcfc128d0, 0x309049aa,
+    0xcfb2da4f, 0xcc59ec58, 0xce14ffda, 0x35921599, 0x0fd33311, 0xfa371af0, 0x877f5002, 0x8977944c,
+    0xe5ff4302, 0x26717569, 0x4e99044f, 0x3b605ff6, 0xfd54d07c, 0x077d88a9, 0xda732fd8, 0xf406bb96,
+    0xcc7d2860, 0xfed1c80a, 0xd72cfeeb, 0x0d7e2548, 0xdbffb9e9, 0x5db74519, 0x147f2dba, 0x368b9cbc,
+    0xd04b5ec4, 0xb8392d29, 0x44570e89, 0x2ebea48a, 0xcc985947, 0xd99f72ac, 0x07303031, 0xca056e22,
+    0x3534fec4, 0x5c2fe695, 0xe5778bba, 0xb6466a55, 0xaae79ce8, 0x0e83b784, 0x5f177664, 0xf32b2748,
+    0xbbf307f4, 0x7867bb1d, 0x06527516, 0xa7e09c49, 0x9b71e9a9, 0x1b2f3e17, 0x8eac38db, 0x8dd0aec9,
+    0x1b0f6be8, 0x06267c73, 0xbb915940, 0x13c6c4dc, 0x643211a7, 0x2d3968ff, 0xbbba2e59, 0x11c242fa,
+    0x023f4e69, 0xa505ae0c, 0x7d9a63d2, 0x2c710d1e, 0x1c818402, 0xa5e98b8a, 0x34789c5d, 0x1d2ffa19,
+    0x55e2420f, 0xceeb63dd, 0x06dd8e05, 0x41638f6e, 0xfcaf4198, 0x74974417, 0x4ffb72b9, 0x8e55e6b6,
+    0x67dbda4e, 0x2eb1ce4f, 0xf39a4ad1, 0xbf165910, 0x0024dc7b, 0x81fde0a6, 0x62bf379d, 0x11903129,
+    0xebea9c17, 0xe7237f74, 0x9bdbc173, 0xd42afae1, 0xbe5007cb, 0xd4ec1caa, 0xcc23172e, 0x31c28f73,
+    0x4597c38e, 0xbf7acec1, 0x588ea8a2, 0xfa84c0bd, 0xe0e00c69, 0x06618643, 0x7c6efd0d, 0x86cb9166,
+    0x1b2ef4f7, 0xaf9af621, 0x6dc1a8c2, 0x92954922, 0x492ec4cb, 0xef987963, 0xb8629102, 0x01d97110,
+    0x85f947ba, 0x8bc664bf, 0x5b84a3da, 0x36d37887, 0xbf105536, 0x9da138b5, 0xf7eb9681, 0xe2e53472,
+    0x1faea8f5, 0xeaf88068, 0x40188bd2, 0x8d678917, 0xaf5201da, 0xb11cb129, 0x5a2040f2, 0x6972f648,
+    0xfd8014d8, 0xa6dad575, 0x8fb2f7e0, 0x37b0372d, 0xb939ba8e, 0xf90c7004, 0x90eb0fec, 0x6be251e4,
+    0x87b33733, 0xe7907ed7, 0x78489e70, 0xf8982933, 0xa427b9ed, 0x148c7c28, 0x9fb777dd, 0x573c2486,
+    0xe7903350, 0xa08391ef, 0x9a1c885c, 0x3817194b, 0x1e21428d, 0xd110bf1b, 0xbc9f242a, 0x33008c56,
+    0x1a3c1ef2, 0x2ae53e49, 0x65cd8bf3, 0x995e6193, 0x27801026, 0x093fbf64, 0xc11a820e, 0x141f3c2e,
+    0x8f6b52a6, 0x0534ee43, 0x59874af9, 0x478272ca, 0xc5eb6787, 0x69035b24, 0x5650f162, 0x2b419a72,
+    0x19b51d67, 0x356ae326, 0xef2bdd4b, 0x47a9388d, 0x833504c5, 0x6cd3b0ce, 0x1144c20e, 0xc4572f4b,
+    0x9b265d03, 0xcffd9520, 0xa55e121e, 0x7b3025b3, 0xf0b124f7, 0x507c2e9f, 0x7b772c43, 0x75a29b2c,
+    0xfbff8fbc, 0x1723115d, 0x62edccf4, 0x9dcbe175, 0x69035a0e, 0xcaeca951, 0x599cd716, 0xaed392aa,
+    0xcb499115, 0x18e45408, 0x7b784d87, 0xb6ffde9e, 0x7bf20794, 0xa871a8c7, 0xfd1328c1, 0x97b4f33e,
+    0x51c9d2ec, 0x253734e5, 0xa31d4443, 0xde66e60c, 0xfa56d1a8, 0x5f874834, 0xada1b5ff, 0xbd4d274e,
+    0xef4fe67d, 0x4d70ac38, 0x8b7422cd, 0xfb2b2746, 0x42f87045, 0x5c86d683, 0x5c2e9426, 0x22755240,
+    0x601ce480, 0x8fdf9f6b, 0xc8a66d9d, 0x1fd591a8, 0x2ca7e463, 0xe084aadb, 0x25481988, 0xe1397fa4,
+    0x1ea1491a, 0x63234301, 0x7fe66e33, 0xc7f48700, 0x49fb959b, 0x49d55582, 0xe034343d, 0x96e71eff,
+    0x2c50bd39, 0x291151b3, 0x2d64afc2, 0xc1927fae, 0x34d5d160, 0x7cd8e6d6, 0x806f2c61, 0x53b85eef,
+    0x4605e674, 0xf36806dc, 0x13d8081c, 0xfda2aa0c, 0xc90eed33, 0x02a278b1, 0xa9bf76e3, 0xe6ced93c,
+    0x370e8d5a, 0xa57d3226, 0xa82ceeeb, 0xeb28dc73, 0xfe104ab4, 0x7e10601a, 0x70f9c862, 0xf8c1ae49,
+    0x15cce222, 0xa326e533, 0x56ae0f0b, 0x9d0f10d3, 0xd9533cef, 0x3a7fde9e, 0xec4a757c, 0xfe9f1fd1,
+    0xd3c8c58b, 0x30e05e71, 0xc651a5a4, 0x73085d83, 0x6a97988e, 0x9236ed93, 0x27e08e90, 0xae5ddffa,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000441711766194596082395824375185729628956870974218904739530401550323154944 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b724, 0xa9bfbe8b,
+    0x00000000,
+    0x9710ed83, 0xbf1a4f2a, 0xf4a11d9b, 0x07c035fd, 0xd61b1b28, 0x2eaa224d, 0x7d9c1089, 0xb0efdf52,
+    0xbd54a41d, 0x3f33fab7, 0xb39a80b6, 0xf3235830, 0x51fe3f89, 0xa9b5d770, 0xf791c8ce, 0xfe21bada,
+    0x56bd9ea8, 0xcfebc074, 0xd77cc9d4, 0xd8e0a537, 0x6d85692d, 0xb9fdba99, 0x1b358156, 0xca546b9b,
+    0xf3295b43, 0x709ece39, 0x5eca234a, 0x4ea03f62, 0xd3cd10bb, 0xcd13c479, 0xa9b81656, 0x460f2cdc,
+    0x7d8856e1, 0x2b70b66e, 0x95b2a8c5, 0x6bbe4caf, 0xe092805e, 0xb7f1d684, 0xa9531afe, 0x3356679b,
+    0xe8a60d9d, 0xd9ab2f0f, 0xf3625f34, 0xc5f616c2, 0x96251dd5, 0x368b6ad5, 0xa698d331, 0x56cc3e8f,
+    0x2093968e, 0xf8d93f0f, 0xf9b4d83a, 0x4445e60a, 0x33fb4704, 0x3c6fde9d, 0xdf9678a9, 0xbf4cd9ee,
+    0x6d4536ef, 0x05805ab5, 0x40e1a4da, 0x7ae8ce65, 0x39defb7a, 0x64f0dad8, 0x6449e37a, 0x145583aa,
+    0x7538bed2, 0x4e26823e, 0x9d708d1a, 0x97c1bb39, 0x1199e40f, 0xda4e56e0, 0xb8ac8c82, 0x7c396bf8,
+    0x530725e2, 0x2c875043, 0x2c5eda67, 0xcc580423, 0x2b0f1e73, 0x6a32e658, 0x45348454, 0x030e8508,
+    0xb7170881, 0xd437b5e7, 0xb78267d9, 0x28d7ea50, 0x1ef15511, 0xa8bf2459, 0x773a9e27, 0x433af9ca,
+    0x325d3ed7, 0x85689a61, 0xdd7725d1, 0x20ed97c7, 0xfe356276, 0x96ce3be5, 0x1f91afff, 0xde084c2f,
+    0xcd42749e, 0x1209a4de, 0xa307dda2, 0x1fad558b, 0x6461996a, 0x21bd6224, 0xdd116160, 0xe69e1303,
+    0xc5308259, 0x8bcc5e92, 0x6dae0b40, 0x3546fbac, 0x98bf41c8, 0x88f3315c, 0x9f073c8a, 0xba958e08,
+    0x040724f8, 0x93f935e4, 0x1ec30565, 0x04c51139, 0x3a36d411, 0xff173b94, 0x442dc671, 0xd4d5481b,
+    0x8d944455, 0x9a7ff876, 0xbc4f7cff, 0x1823bb3a, 0x6b829238, 0x1b102eeb, 0x36cce3ff, 0xae99c05e,
+    0xeb6bbb97, 0xf9e14af4, 0xf2e691b3, 0x4715bda3, 0xcc738792, 0xacf851ea, 0xcc9fb29e, 0x6f9e8e25,
+    0x7a3445e4, 0x50208158, 0x32f48795, 0xc8e4a9a7, 0x50f3155c, 0xc40d4e20, 0x8962f424, 0x1d0202a0,
+    0x4d4c7655, 0xbdbc49f9, 0x933dc386, 0x66fb1817, 0x1e88eef1, 0x1f785c42, 0x0c618a06, 0x9932b624,
+    0x6de753cb, 0xf980e7b6, 0x3dd68a6e, 0x5a231356, 0x43acd114, 0xf53bec2a, 0x6ed78557, 0x4834d536,
+    0xd64dee5f, 0xb334aa4e, 0x2c0e07f5, 0xe20b00e6, 0x14bd821c, 0xb5649a5b, 0x5511d7b7, 0x0e6a7f8e,
+    0x80d88f53, 0x65f61b4f, 0x08c260bf, 0x2b219d78, 0x73329d35, 0x3aaedb13, 0xb8c3b9b7, 0x6ec86dc9,
+    0xb31fb19a, 0xfbd0203d, 0x4ea422ab, 0x626033ec, 0x87c43c26, 0x51b8bfce, 0xdc18d93a, 0xceca5a2f,
+    0x48995eba, 0x8f363035, 0x29e580ca, 0x8b3c32ab, 0xdef5b7b8, 0x2ab04602, 0xa76ef603, 0x1c6b9025,
+    0x92d0f114, 0xcb4bc418, 0xcd81d0f1, 0x61f6576e, 0x84e71ca3, 0xd297ac4d, 0x2251b93b, 0xae8fe7b6,
+    0x0cce4e7f, 0x205edc9f, 0xd02ae414, 0xc22ed05c, 0xcabc140b, 0xe4623c06, 0x2efd32e9, 0xf33b698a,
+    0x60e051ea, 0x55011e83, 0xbb6c7977, 0xd52a11dd, 0x9d538195, 0x65dbae41, 0xe46cfe01, 0xecc8f4bd,
+    0x1d97000e, 0x35269dca, 0x5e2b9506, 0x50ce6aab, 0x8cff0d56, 0x718e2de2, 0x9a0d827a, 0x973a1335,
+    0xf2f26342, 0xbd4cb803, 0xfe70afcf, 0x4734c950, 0x6b94552e, 0xe9c727ac, 0x4b6f5109, 0x121ed067,
+    0x809d9b18, 0xc83f0e93, 0x075dacf6, 0x5895a704, 0x83deca17, 0x7dd63e69, 0x78fee58e, 0x5c976872,
+    0x96b37a3d, 0x978fa1c1, 0x5e05cd01, 0x1794fcb0, 0x59e96427, 0x95ff486d, 0x3bac9c0b, 0x4cf1abbc,
+    0xfe9b385d, 0xbb687287, 0x5e3ada71, 0x299b105e, 0xa91f35be, 0xc8dd87bd, 0xa2ba7fbe, 0x3381a66f,
+    0xd25913d1, 0x129244f1, 0x3055c53c, 0x89ff5eb0, 0x78d27687, 0x624737a2, 0x4f2ff006, 0xda5b4f9e,
+    0x3c1f3ebf, 0x6f314c3c, 0xf291d2e2, 0x7640ecfb, 0x8e5badb6, 0x002fd3fe, 0x2c353fd4, 0x175bbe38,
+    0xfab4cb07, 0x952965d8, 0xd047847b, 0xb299418f, 0x67ed6b39, 0xd6dafd1d, 0x162d6043, 0xc42bca5c,
+    0xd7c96b75, 0xd6cec17a, 0xcc85fdeb, 0xd259b0d5, 0x35da485e, 0x9aa87ef4, 0x2a820a97, 0xc2d8b54c,
+    0xb8ced61a, 0x183877bc, 0xa7f4b8a5, 0x33dc6031, 0xcc32059d, 0xf1740dbe, 0xb8deea8b, 0xd1c1918b,
+    0xab4c8231, 0x53d73b69, 0xe99df1ee, 0xd8f6cfcf, 0x07b87383, 0xa6224353, 0xf4e0d035, 0xf0a58f8f,
+    0xe0f42fb6, 0xf51967fa, 0xd9123c8a, 0x4984def3, 0x3d24a68f, 0x74baa5bb, 0xbadd15d7, 0x84033139,
+    0xed1e5979, 0x83323c3b, 0xc8208112, 0xf1fa63c6, 0x929e9c43, 0x807b5b49, 0x8d2724b8, 0x47f47451,
+    0x7653fcb6, 0x1c05aa55, 0x276fb9b1, 0x56c47dfc, 0xa6a4bc0a, 0x64da7209, 0x19730b8a, 0x7ee655d1,
+    0x0a0f8473, 0x1f57170a, 0x726dd92b, 0xc7616b35, 0xc14641c4, 0x94d85f21, 0x62cfe850, 0xfeaf7cb9,
+    0x87391cbe, 0x5f7052cc, 0x0554a741, 0x06a805d9, 0xd397cd73, 0x581a12fe, 0x50413267, 0xd4c0a37f,
+    0x50dda965, 0xc456436b, 0x1e1d8341, 0x1d0d121a, 0x6e04b5d4, 0x65650808, 0x2861e401, 0x45c66895,
+    0x9f162ddb, 0xf92b1961, 0xe036229a, 0x1df78dba, 0xd5cd9114, 0xa3480aaf, 0xaee4ef57, 0x12d45ec0,
+    0x1edff0c6, 0x0fa4de2c, 0x8c49686b, 0x45f7ef9e, 0x293c4ff8, 0xf7d47586, 0x130db6c5, 0xf3c8471d,
+    0x9607648c, 0x44dcc460, 0x9630f701, 0x48c4a0ba, 0xc3b4ca0b, 0xff8ca820, 0xed7d0870, 0x46cf0135,
+    0x57df9987, 0x9b3e94ff, 0x94fdf289, 0x91a6e13a, 0xf6955cf3, 0x200cdca3, 0xf2b5cd0a, 0xa54488aa,
+    0x8a8261b7, 0x2ff4c20f, 0x2c62459d, 0x45fe3247, 0x7e1c2dc7, 0x7c322c9c, 0xe5d6128a, 0x176e521c,
+    0xfd711958, 0x88396530, 0x6532fc2c, 0xd6e15c34, 0x2639ba13, 0xeef88ba4, 0x223fbd67, 0x1811e8e2,
+    0x505301bd, 0xae2b90f7, 0x46d665d0, 0x9b88cafc, 0x628f259c, 0x354220ef, 0xf3669296, 0x32694f76,
+    0xef341e6a, 0xbedfd326, 0x31b062ca, 0x034d48d0, 0x3eda4889, 0xc8a844bb, 0xb1733d18, 0x02197083,
+    0x408fcdf0, 0xc30efb52, 0x92050aa0, 0x16c3adf3, 0xf86e3feb, 0xcf3a0ed3, 0x87ba3f8e, 0xd57e6416,
+    0x12cf611e, 0x47d517f8, 0x194450ce, 0xf7f170af, 0xca521187, 0xb4d0e814, 0xe6b993f6, 0x71d7e768,
+    0x0687f17d, 0x75f42409, 0xe66bcc32, 0x68b48a1f, 0x8cbd3dbb, 0x22d52bec, 0xc1c15597, 0x47ac81fe,
+    0x10e711a6, 0xec822377, 0xd9530a6f, 0x602c2ce3, 0x6453a3f0, 0x0f70808f, 0x62115d5a, 0xbf36c779,
+    0xa9b0dfd3, 0x2585dfe5, 0xf164ebf3, 0x02bfcc29, 0x14b976b0, 0x6c2b3a13, 0x58809066, 0x5b8795e4,
+    0x7d9b53d3, 0x53be02e6, 0x22131db1, 0x3a8abfe6, 0x723a1726, 0xbc0ec9b1, 0xdf20261d, 0xf9e23b72,
+    0x0b1d61a3, 0xb2604303, 0x6ab744a8, 0x5d9114be, 0xa1a8e1df, 0xe088d161, 0x24e8215f, 0x496d1ce5,
+    0x183e4146, 0x14451eb1, 0x455c2e3f, 0x3cfbfbf2, 0xf1d7d93e, 0xf54e2847, 0xe7e3240c, 0x9d3684d6,
+    0x47a6796d, 0x98ff6f33, 0x9c4bf0b6, 0xdd3d0543, 0x77b482ea, 0xe2e0008a, 0xe2b9010c, 0x8c02c073,
+    0xa0042952, 0x14f2d56e, 0xde6edb94, 0x00f1f033, 0x61e857e4, 0x76a4ac34, 0x7ea17401, 0x0b053299,
+    0xbc1030ba, 0x514ec696, 0xf7233796, 0xb0df1967, 0xb9d0b9f8, 0x468bedcd, 0x57182e2e, 0x9d44cfaa,
+    0x717129f8, 0xb243ddcf, 0x1bc47c7d, 0xccef1359, 0xcf343188, 0x1942acba, 0x4739a670, 0xe45b1086,
+    0x756091a6, 0x4e03528f, 0xc1061be4, 0x39c6eb08, 0x0d11123b, 0x5e108efb, 0x485a2985, 0x4e5d9d57,
+    0x9207f333, 0xe20c0e6f, 0x50273f1e, 0x0efabf7d, 0x087ed2dd, 0x6b9d48ad, 0x02df20ea, 0x8e2aac76,
+    0x724140c0, 0xfb511a06, 0x73c32052, 0x52833101, 0x0a276465, 0xa0f5a92d, 0x2be7a48d, 0xf6c78b04,
+    0xbe2f25d0, 0xb57c6dcf, 0xd3dfd7b8, 0x0b3b2e3f, 0xe7b1bcd5, 0xbdcc1786, 0x2f477133, 0xfc1a0acf,
+    0x9c66ae3f, 0xf60f2006, 0x962f4ee7, 0x063ad030, 0x77887e79, 0x9b4c598e, 0xd62b1bc6, 0x3198d2f4,
+    0x0923aa45, 0x32ea84ff, 0xb81f0212, 0xd922b37b, 0xf1b5d358, 0xe9b0fbd6, 0x8f37d34a, 0x2025075f,
+    0xf44fb206, 0x552bb461, 0xc11fa4f2, 0xddea8f4a, 0x5750f7ee, 0x8de4446e, 0x76c2d39c, 0x7e4a1867,
+    0xd22ab19a, 0x7a8e07f4, 0x17fe7d63, 0xc95b8dc1, 0x76a67d82, 0xda5e8575, 0xe2129543, 0x3d3d63c0,
+    0xc9e71944, 0x96c266e8, 0xbe514f1c, 0xe062e0ef, 0x6399ab9f, 0x1a2e5902, 0xf5081059, 0xdae21346,
+    0xe54333da, 0xf297d2d4, 0xca15a1c0, 0xd7fabe52, 0xe1451f6d, 0xbe41a239, 0x86caf4ff, 0xb853ba69,
+    0x18501954, 0x01be52f6, 0xab930b8c, 0x91102c03, 0x8cf02b32, 0x0c3c84cf, 0x4848acf9, 0xc72e6d18,
+    0xd77ce51e, 0x1c3f543c, 0x854398c1, 0x95295d6b, 0x254d4096, 0x55f70f36, 0xa2380e01, 0xc9ceea05,
+    0x2f26b9ab, 0xf774e8e4, 0xaf095bbb, 0x43ebbc19, 0x7f5b9b4d, 0x3aaa42bf, 0xfd296baf, 0xd68bb3e1,
+    0x559fa8f3, 0xc353a1dc, 0x8ad71911, 0xc6fa13f2, 0xbef1aff1, 0x4cc6732f, 0x7901f991, 0x757fdd66,
+    0x8d784c31, 0xc2f32418, 0x512cd0b9, 0xe8151b97, 0x3bf71124, 0x553775d8, 0xb25312b0, 0x5193e138,
+    0xd8db550e, 0x77f446ec, 0x2ab38901, 0xdab2e9bb, 0xe3f1576f, 0xa3121a9f, 0x8274ce91, 0x4c29a29e,
+    0x60ff06c0, 0x7833ce8c, 0x6d77b697, 0x26693dd1, 0xb0b2d45c, 0x6136669c, 0x3bb34ec0, 0x45e8d8a7,
+    0x7a47a663, 0xeb3c92bc, 0x8a070905, 0x661fc2db, 0x97a84e41, 0xe0849abf, 0xaa6d0d27, 0x24b372a1,
+    0xd7efdc40, 0x5a9d7307, 0x9fce90c8, 0xa30f191a, 0x2adeca6e, 0xa87c8580, 0x6d50b3c0, 0xe28c0bfb,
+    0xd18032af, 0x7cf63a7a, 0xc26786d8, 0x745fa7c2, 0x4e5e6580, 0x4c0b3286, 0x3656b36b, 0x72e06c2d,
+    0x38dd647f, 0x4bfa3eec, 0x31308eba, 0x03e4d94b, 0xcc8277c0, 0x806a2f56, 0x5753cada, 0x12b67e32,
+    0xaf5a7fbf, 0xe3016175, 0xdc9a1de3, 0x0283ce1e, 0xceb5d061, 0xd12a05d2, 0xcbbdaed6, 0x8792ab29,
+    0x776e73cd, 0xeb2a0c41, 0x758bdf13, 0x0403714b, 0xc63f66da, 0x79f53128, 0x297165b2, 0x0cab1b65,
+    0x6669e8d9, 0x69006ba7, 0xf30108b8, 0x253a114c, 0x07dce4c2, 0xe819ba7a, 0xd3031b12, 0xfe572843,
+    0xd2737220, 0x1f6d9eef, 0x96eaab8e, 0x83d3e98b, 0xe92380b0, 0x5f0b4921, 0x9c97738b, 0x51c2b540,
+    0x263ce8ec, 0x93b2ee6e, 0x3211f6c6, 0xdd7d386c, 0x4f3c9516, 0x1d80d476, 0xb510759d, 0x47900a2e,
+    0xcb3a4610, 0xc93de998, 0x9d0f66fd, 0xb62d540f, 0x04a08d49, 0x9e4fb6bc, 0xe372897d, 0xe7b4797d,
+    0xcb3b4e8b, 0xa45faf34, 0xd5e117e5, 0x1fa89e84, 0x93b941cd, 0x25e68324, 0x1beccd67, 0xc1894b10,
+    0x4b83e143, 0x6169de16, 0xed3eb5e5, 0xcd70dac8, 0x392aea91, 0x45a3d282, 0x931f8b11, 0xf00502e9,
+    0x1af7c290, 0x84915955, 0xf66dfe53, 0xd1025e43, 0x0473346b, 0x585a8a86, 0x725df2ad, 0xb4da2295,
+    0x8ddb8e4d, 0x24ec17e8, 0xea4ede7b, 0x07ab28ed, 0x04242769, 0x413de2d4, 0x8ade8bc8, 0xfa1a00b8,
+    0xdfa55de1, 0xa001d2a4, 0xca08b5d7, 0xccb81733, 0x5ce31ff9, 0x79750cbf, 0x929b07f9, 0x61575a7c,
+    0x89f63d17, 0xe44c8b56, 0x3de6f7d6, 0xd369a571, 0xcfb5a66b, 0x7a3f8576, 0xa61c3fdb, 0xbd23fc96,
+    0xe4b2e7c7, 0x008175da, 0x4208c166, 0x57170e96, 0xfb9deaf0, 0x93ffa885, 0x573fdfc4, 0x63e3faea,
+    0x90362b69, 0x3181fcd8, 0xe4c638bb, 0x79f16562, 0xd785fa12, 0x17dfd3ff, 0x7b3d46d5, 0x4b5ebc1e,
+    0xc36e01eb, 0x19906e74, 0xfd0b458e, 0xe6331483, 0xffbf9656, 0x0be82667, 0x4dfd3ed6, 0x2507a27d,
+    0x282cf349, 0x07b489d1, 0xba55ac3c, 0xb9d90b0b, 0xda6b8964, 0x124a0edc, 0x3e1285ec, 0x4eb59c58,
+    0xb004dacb, 0x71cae89f, 0x11c1adb6, 0xc79e0319, 0x46750b79, 0xee17ba44, 0x30c812ec, 0x12a8efbc,
+    0xab1a621e, 0xcf915e4b, 0x16b662d9, 0x6f963a5a, 0x9ba0e07c, 0x7cab6b84, 0xe6c8c88a, 0x83687e56,
+    0xb9aef065, 0xd1f3011f, 0x880f8591, 0xd3c61307, 0x8f28a2b4, 0x43a7e074, 0xfbdda6d7, 0x7c6160eb,
+    0xdae37259, 0x6c2f1ffd, 0x24db88d0, 0xc4763244, 0xc663ac4e, 0x797f4fd5, 0x8f29a799, 0xbe263c1b,
+    0xbca6d8d0, 0x86e57b2a, 0x229f4968, 0x5da9a9f2, 0xea811d37, 0xf74913af, 0x1bd05783, 0xbd33b951,
+    0xff7a16fe, 0x8dd59c90, 0x10b7c8b3, 0x49575863, 0x18539868, 0xadf3b5e2, 0xe39559f7, 0x1f39dcd8,
+    0x56f72f58, 0xd755e8dc, 0x2d3287db, 0x18299de2, 0x3b3d96fa, 0xbcfd6f7c, 0x75d898b6, 0x2621a32b,
+    0x0740ef86, 0xd255d8ca, 0x3c141219, 0x3cf3ef44, 0xabeffa1f, 0x544d77d3, 0x79099f41, 0x8f687780,
+    0xfdc20d01, 0x2cc67e26, 0x9de593a8, 0xf390a4b4, 0xb38eccdb, 0xecd6c152, 0x41122fc2, 0x5a5084d4,
+    0x41c585c0, 0x79aadb9b, 0x9f786ba6, 0xf27fa2fe, 0xa55d1a69, 0x72cd3e3c, 0x83b5b368, 0x7632aa4d,
+    0x38333f6f, 0x59905066, 0xa00279a3, 0x8fa0443a, 0x16dc8c7f, 0x213ca0e4, 0x34aaac27, 0xaba9cd6d,
+    0x5c77a2bb, 0xcb6bef24, 0x8c8d53d8, 0xddc4c6dc, 0x8ca63732, 0xca04dcd4, 0xe7d8c8a3, 0x6ca0778a,
+    0xb1d41594, 0x2b8f7d59, 0x6eaba7c1, 0x61a5867e, 0x5c1885db, 0x6e3ebd2a, 0xeebf2fb7, 0xbc2e1048,
+    0xfffa27df, 0xdc870f14, 0x78b9d327, 0xd0dd9daf, 0x7d86c2a8, 0xad8c1800, 0x093e16bd, 0xd236c3ac,
+    0xec9d911e, 0x67dbe5e1, 0x0b01b75f, 0x8d26f810, 0xf7820630, 0x821b6d05, 0xa1d75b3c, 0x5aabfda0,
+    0xae4d1233, 0xb2c3a63f, 0x9d340945, 0x3a300039, 0x568f3b65, 0xdbf25e77, 0xc5a0a31f, 0x855a169b,
+    0xdbe86060, 0x52245513, 0x03c3f982, 0x89b1650c, 0xb2f2d911, 0x023f85cf, 0x8f133ecc, 0x49649c42,
+    0x9191a05f, 0x7a0d574c, 0x6b5403f6, 0x34ecdef9, 0x0aa1f05e, 0x390b3b4c, 0x756eedf0, 0xad847f7a,
+    0x52c4f7dc, 0xe1209070, 0xa8bf158b, 0x5bb33f37, 0x92fb38cf, 0xbb72ede6, 0xdeb53b29, 0x926f9c52,
+    0xc0ee85a4, 0x1ea5370c, 0xe3f1c61e, 0x9f81550d, 0x1c159a8f, 0x0656f0c0, 0x28839cd3, 0x7c647cc1,
+    0xcd633102, 0xdd985824, 0xa02842ae, 0x1865f15c, 0x20399a3d, 0x4af4d70e, 0x757788af, 0x074168d4,
+    0x14a75205, 0xee6bbff8, 0xe3719eaa, 0xb5fc137c, 0x2d0a1ba6, 0x50c4852c, 0x47281cc7, 0x52eed255,
+    0x077f02f4, 0xbf31f3af, 0xf811e1e5, 0x0666a1b4, 0x5cd86084, 0xef3af378, 0xd2bba5a4, 0x700ce6f7,
+    0x791b5f5e, 0x6cb6c67b, 0x744fd717, 0xd2991acc, 0xa8629af5, 0xcf940281, 0x14208234, 0x6faa033d,
+    0xfaba8e9d, 0xa725ec13, 0xdc6e83e5, 0xf4942407, 0x2f6bb6dc, 0xac0b772c, 0xf25cb600, 0x8c92e27e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000220855883097298041197912187592864814478435487109452369765200775161577472 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b92, 0x54dfdf45,
+    0x00000000,
+    0x8b0e3cbe, 0xc727f4a9, 0x380f76d4, 0x457dae6b, 0xc07b97bb, 0xb5a96d90, 0xd5194604, 0xb7f0fadd,
+    0x92e4d514, 0x9ceb58a1, 0xff7abc54, 0x1050b0a4, 0x9ddc6f4f, 0x712a9f77, 0x9282f69f, 0xd2c9054c,
+    0xc6c9a37c, 0xfe116070, 0x9ddc8161, 0x2a5b24c2, 0x992b1401, 0xc8dc52db, 0xd2571997, 0x4a902566,
+    0x78af649c, 0xc175abc8, 0x266907fe, 0x4e7fe834, 0xfbdafcd4, 0x82868e47, 0xaad2cb2d, 0xd1b8dcc0,
+    0x7202be40, 0x52eb562f, 0x8c3460cf, 0xcbce3bd2, 0xb393fb12, 0x5151c687, 0xe8fb9a6f, 0x7fb49ce6,
+    0x166b4571, 0xb5f687fb, 0x9907c098, 0x560ead7f, 0x05cf52a1, 0x06638354, 0x1bc42724, 0x48a9cf04,
+    0xca102caf, 0x8ddd8824, 0xcf9e1efd, 0x5609168e, 0xc4d7d28d, 0x221bffe8, 0x7dea154d, 0x578d1232,
+    0x457660c9, 0xb36d2e7a, 0x49c2ee37, 0xcd490969, 0x4094e1e3, 0xe28f8370, 0x64cc0b9b, 0x9f72c5ae,
+    0x53121473, 0xbd4bd37f, 0xcd5cef9a, 0x63186a32, 0x62a12748, 0x105aa062, 0x6c3c2135, 0x8b465067,
+    0xc49fd61c, 0xfca050b1, 0xdced9e9f, 0x440333b7, 0xb0e5763a, 0xe54d6757, 0x4c86855b, 0x234885fe,
+    0x6c68af4f, 0xef85bf03, 0x83db2431, 0x354b4ece, 0x7a708e6c, 0x894379b0, 0x9a269750, 0xa500e05f,
+    0x47d397a2, 0x886110b5, 0xdbe81058, 0x0d269579, 0xffd4bacc, 0x55712363, 0x5a483c0e, 0x7ebfb18f,
+    0x85e77dc2, 0x0168c29a, 0xd0f61c46, 0x19dc7b2e, 0x465192ea, 0x02d52c91, 0xb4799570, 0xc28396a5,
+    0x3ac0d00b, 0x46bccd61, 0xd1461b43, 0x7e38205d, 0xb8567bb7, 0xff9aa603, 0xf3ee5dc0, 0x91e0bed8,
+    0xfb45e817, 0xf360bfed, 0xd7b2206c, 0x9876881e, 0x2921909d, 0x079fffb0, 0xeba2207e, 0x0510eef2,
+    0x7650d552, 0xe0b32ffa, 0x83ad0c92, 0xf9676ec4, 0x358caee6, 0x7f80b3ff, 0x1d2f8edd, 0x9ff38136,
+    0x0f36b0af, 0x4ee9faa5, 0x3aadf0dc, 0x960dba56, 0x9fce2330, 0x8f30e8af, 0xa1fd21c0, 0x338aae50,
+    0xfb07fb1f, 0x34ef4a05, 0x933aed31, 0xcaa1b6e6, 0xb84972d6, 0xeab0c8d0, 0x9188b917, 0x17fc22a5,
+    0x1394542b, 0x048428a2, 0x5fdf2033, 0xecf31cb8, 0x7163d807, 0x457ebb91, 0x2be05c9c, 0x0f86eae0,
+    0x0da2c65e, 0xf664830e, 0x59149741, 0xf0f6e77f, 0xce3f2503, 0x2d517057, 0x68bb715a, 0x080c8e6b,
+    0xe3285b78, 0x9d2a460a, 0xf919342e, 0x01fa8760, 0xd4240331, 0x77677c79, 0x341aa643, 0xc47f7372,
+    0xf952eed6, 0xe55794f2, 0x621a5bf0, 0x8832b7ef, 0xd5a7652c, 0xe373b678, 0x2ad8b041, 0x25faef61,
+    0x96e532c9, 0xa4c69511, 0x4618ad7f, 0x8b97e0a2, 0x2385bcc3, 0x54874dc0, 0x71f9ee54, 0x6934e1dc,
+    0x7ed25cbe, 0xec1952f2, 0x05fa6393, 0x5302af1c, 0xe8583792, 0x5299822f, 0x702d9579, 0x9001d2e9,
+    0x6180f93c, 0x844b9f5c, 0xf9d97cae, 0xce093835, 0x4fa675f5, 0x515a201b, 0xc83da0ad, 0xb69cbcb2,
+    0x7278d694, 0x90067b91, 0xc7c38ab9, 0xcf190ec3, 0xaac4666c, 0x1f233149, 0x89af16c3, 0x8fa54312,
+    0x3a9fcf4e, 0xefbccef3, 0x4cf796e6, 0xee9076cd, 0xc7c1954a, 0xc3c3b620, 0xbf4713c5, 0xcff4634f,
+    0x7cc0519e, 0xe273f22c, 0x4cc63cd0, 0x59b4945c, 0x04679dac, 0x2af81bc8, 0x3434ddac, 0xa3e7734b,
+    0x19074af4, 0xc90ed168, 0xaf14d281, 0x191adb31, 0x6461af8a, 0xe836b97d, 0x602336ed, 0x2a535c70,
+    0x5c01bb08, 0xa0f5b1a5, 0x8f47be8c, 0xa5497d79, 0x5f7616e7, 0x91662287, 0xd0ccbe65, 0x270258ee,
+    0x8e3442fb, 0x9e3b043b, 0x9a65e016, 0xf7c621e7, 0x4e4d0189, 0x1daf2929, 0x8e712a2a, 0x26d33f42,
+    0x1cb43258, 0xb5412fca, 0x5f1a703b, 0xfdcb9b21, 0x276cfee4, 0xf7f1cc12, 0x852698db, 0xf1000c5b,
+    0x8175f0ed, 0x9b1e7020, 0xa890730f, 0x06e17448, 0x7b7be9ad, 0xe6b23c69, 0xb17352c1, 0xcb6b6ea8,
+    0x4e78f088, 0x96cfe2bc, 0x95f7d0ff, 0x64c74bcf, 0x3a2e6f95, 0x22dad7fb, 0x26efdeef, 0x67e3be22,
+    0x04a52038, 0x2f4b63a4, 0x8dd86924, 0xbf9fd5b4, 0xf5734745, 0x9625e4cb, 0x9c7afebc, 0x06889e38,
+    0x23b88e05, 0x1538cc0d, 0xf31609c1, 0xdcda1165, 0x92591ec1, 0x3519641b, 0xd58bdfcb, 0xb450bfd8,
+    0x4b3fa026, 0xbdc45907, 0x6c3dd4a4, 0xff98b43f, 0x0faee0d5, 0x72b4b0b3, 0x7e3c62df, 0x56bf9a18,
+    0x27552214, 0x8d013602, 0xcdecb3bc, 0x9d8778d4, 0x551b87d8, 0xb730fff4, 0x5c4eb705, 0x1b45de1a,
+    0x99e6a968, 0x73214d78, 0x677b261d, 0xfe2632d8, 0x7499e7e1, 0xb1e25c96, 0x41068b59, 0x3784526f,
+    0x0adf7a6b, 0xf8539a3c, 0xe881c5d9, 0xcd16b8eb, 0x6dea87fb, 0x66346188, 0x75e1d5fd, 0x1a97734c,
+    0x48faefe3, 0xae54ce67, 0xf97cec8d, 0x5fbf1a7a, 0xa31eb873, 0xa1952c8f, 0xab205956, 0xd4663b84,
+    0x75a35f10, 0x8395a187, 0x35966995, 0xca4bda19, 0xeda0a082, 0x0b629d1d, 0x7131e8e0, 0x57e9c929,
+    0x008382b1, 0x670d4962, 0x249cfb8a, 0x73891df2, 0x749fd91c, 0xe2ddfeb3, 0xd8ceeedb, 0xf116ccc4,
+    0xef3f391d, 0x61b97598, 0xd810f62b, 0x2b3038af, 0x7db864f7, 0x960e5d74, 0xb64aadbc, 0x7bfba094,
+    0x044de71c, 0x13e38514, 0x669405c5, 0xe4c0505c, 0xc603261b, 0x18498256, 0xffcbe1cc, 0xbac8d548,
+    0x5e2a1cf7, 0xe1dc6f6b, 0x0cf26113, 0x14e41d07, 0x27864b9f, 0xbc1706bb, 0x0afe7a93, 0xc91e06f9,
+    0x0fa32ccb, 0xbff01502, 0xa635f6ce, 0x2821741b, 0x6fd79d2e, 0x4767d966, 0xe68585bb, 0x5213b846,
+    0xd7f50747, 0x18b4fff1, 0xb7c680e9, 0x5a5d7e2b, 0xb50d487e, 0xa3f107b9, 0xe9b7ba79, 0x32400714,
+    0xa2412186, 0xf11d192b, 0xe6a1c5e4, 0xae293c38, 0x86266098, 0x50c7517c, 0x75385b21, 0x22494ca5,
+    0xfc77731c, 0x2450b461, 0x6c111dae, 0xacb28868, 0x24374e61, 0x0693db20, 0x590d34dc, 0x853289af,
+    0xe833d6ad, 0x7a900522, 0x391069c0, 0xd892f235, 0xf8fc73d5, 0x27b8c5f7, 0xd63cbdfa, 0x4acb65ba,
+    0xc3f6d8dd, 0xd26ff7d0, 0x89923785, 0x382d6382, 0x454a01f1, 0xa6f97cd2, 0x13f92d6f, 0xae17f803,
+    0x82752169, 0x8b8127f6, 0x4f51ebe0, 0x96d5bf56, 0xedd1d609, 0x6affcea9, 0x3af16d1d, 0xa9a9bb20,
+    0x892e9926, 0xa7d70414, 0xb800be8f, 0xa1c37104, 0xfcf2c97e, 0x65b18158, 0xfa17fe42, 0xe7bb0e20,
+    0x9a5dc3ee, 0xd528a2e2, 0xf551fa4c, 0x035bf59c, 0x15146572, 0x5473c16d, 0x3f58c560, 0x2f7429f0,
+    0x92df1d41, 0x88342185, 0x38eaec10, 0x656a718e, 0x4ed8085d, 0x1b0f6b59, 0xed2a0e7a, 0x2af31c69,
+    0x87ac2276, 0xd5246c1a, 0x17aca499, 0xcc9d25ad, 0x9b8142bc, 0x1b141418, 0xad40264f, 0xd75abe78,
+    0x68231829, 0x5e4832c7, 0xa01bdeb9, 0xd7f79569, 0x1d3e2baa, 0xedde50bc, 0xd948d23b, 0x7c79286d,
+    0xa1ff2b6f, 0x980f4711, 0xb65a3427, 0x728b324f, 0x84dadf3d, 0x36d6c773, 0x7321c463, 0xb9df3019,
+    0x1f6e664d, 0x98f21753, 0xa9ec7010, 0x2fe32ffc, 0x11b407f0, 0xda8b2a34, 0xf99e3f15, 0x2868ee48,
+    0x16f0fd0c, 0x7f0e1bb3, 0x4afa2de9, 0x5ab5c132, 0x31e2c386, 0x72932a18, 0x03e22a70, 0x6c3b0979,
+    0xfdb16346, 0x8e540579, 0xeaf7a623, 0x9314fa0f, 0x48978363, 0x28a1905f, 0xcc7d3154, 0xa2b1355b,
+    0x4f7c1532, 0x202f681c, 0x328c9c8e, 0x6fe8d631, 0x699d1a01, 0x9c8c1334, 0x172724c5, 0x4266c917,
+    0xb0c302e5, 0x1217c53a, 0x84194835, 0x6094edfe, 0x1ca61635, 0x65178c1d, 0xe2682f7e, 0x79b5ee48,
+    0xa4bafcbe, 0x5b55d7b9, 0x8857d3b2, 0xb88176ab, 0xf2744f5c, 0x9a32550f, 0x8ecf109f, 0xeaef603f,
+    0xf4fdcc4c, 0x86c4d7c4, 0x9adad753, 0xb8574540, 0xb35e1917, 0x8e198518, 0xa06eaa9b, 0xd8efde0a,
+    0x856416ac, 0x7baba0e8, 0x7d373fa6, 0x9f5d0fbf, 0xb261a33b, 0x654e15a6, 0x5a6d378d, 0x170f7a52,
+    0xc62746ad, 0x18088d25, 0x62d454c1, 0xb5ad242d, 0xe00fbc2f, 0x4d662c14, 0xc50ea52a, 0x75ebd9f1,
+    0x9f86e791, 0xb01043cc, 0x307a9998, 0xadd3e7c9, 0xe8eb2b99, 0xdcc084d6, 0x77b0e1b0, 0xdf090a88,
+    0x39bdc237, 0x75c6f31f, 0xe7b8825c, 0xb8d5d48b, 0x506eedc9, 0xab145501, 0xaaebe904, 0x1781cf5f,
+    0x0575af7f, 0x9dad424b, 0xad4b65fa, 0xe312d97e, 0x1420b86e, 0x7269e447, 0x2f6aa9d1, 0xc81702e6,
+    0x71a82125, 0xe168c250, 0x784f973f, 0xaeeaf5e2, 0x3aa9800c, 0x72bd45ab, 0x2d9b9f35, 0xe647ac14,
+    0x5ed5a82a, 0x0288803f, 0xd3fd153a, 0xe970d4de, 0xf3f2cc0b, 0x7f1ef3ae, 0x64ce9aa0, 0xed0f922e,
+    0x6ad02a8e, 0xd5056bba, 0xef1b89d7, 0xe4f684bf, 0x0d0c0294, 0x4fc86d29, 0x646a964b, 0x3dc7e337,
+    0x833102d3, 0x876b9388, 0xac67fee3, 0x3240f19e, 0x12c8b11e, 0x28d9607c, 0x309bf476, 0x3c9ded22,
+    0x67aff878, 0xe4b3cc8d, 0x551d15ee, 0x6791e978, 0xa863695e, 0x89b4c791, 0x80c1917c, 0x903b1a50,
+    0xce545f5a, 0x16172eb9, 0x70583922, 0x069dd30d, 0xa1b2d29c, 0x50dc806f, 0x79bd5576, 0x54d5665d,
+    0x296729e2, 0x4bc333a1, 0x7d0cd841, 0xf41c7712, 0xca3c0a5c, 0xd62dda5c, 0x177436ab, 0x07557194,
+    0xc29e4a24, 0x207443ee, 0x2111c87c, 0x6de15f51, 0xdac7c0cd, 0xf7b8b1b1, 0x48c98de0, 0x792380c0,
+    0xf5d428bd, 0xd6157ab6, 0xf21f6757, 0x3f137e8f, 0xd505c011, 0xafb0c1a4, 0xc0ae7795, 0xd47586e1,
+    0x5b49df5f, 0x2590e72f, 0xbde01866, 0x3bb1f5bc, 0x15a291ce, 0xf9024732, 0x8e2fbfe9, 0x4123db2a,
+    0xa7f0e745, 0xf50e09e5, 0x75df2c52, 0x38438e68, 0xa465cb17, 0x1665eae4, 0x0fe4c871, 0x61ee9453,
+    0xfa03d076, 0xe25e7836, 0x5177bd91, 0x9d8dcbc2, 0x5c5f5da8, 0x8c2c5ef8, 0x56b6f0f3, 0x69333f57,
+    0xc2184cdd, 0x6e3904e3, 0xd19d82b0, 0x54014699, 0xb6f3d499, 0x54ed15f8, 0x0649cc92, 0x67371b41,
+    0xd7334a6a, 0x9532d9cc, 0xadd481f6, 0x26bc5261, 0x227de7f5, 0x31012a03, 0x8a0d9e1a, 0x4cfb91b1,
+    0xec0b8806, 0x59107428, 0x885d9e2b, 0x062c7548, 0x72339549, 0x53af3bac, 0xa324c4db, 0xf789cf9f,
+    0xb0583f6b, 0xb5e483f5, 0x33c98d9e, 0xf6ea848a, 0x97844e30, 0x0fa0b2aa, 0x051b4ee6, 0x10870d49,
+    0xfe3bf3be, 0x27b4b4f1, 0x41aa28b3, 0x6422c119, 0xc9536b43, 0xf6ac04ef, 0xe55fadf1, 0xe9c230d2,
+    0x480c90cf, 0x18dcde91, 0xdcbf6cd0, 0xe3771955, 0x12b90e5e, 0xd8492403, 0xe87b7baf, 0x58aa0d42,
+    0xc862282b, 0xaa9a83d7, 0x31f53dbb, 0x7a48b933, 0xa096880a, 0xa6d06b7c, 0xfb0332d6, 0x8bf4d8c8,
+    0xb5e9803b, 0xc4ff0596, 0xe50d8539, 0x176a0122, 0xc8e08ee3, 0x7d47b9e4, 0x5cf11915, 0x24ec6390,
+    0xa2703697, 0x27bd4f41, 0x951330cb, 0xfef9929a, 0x8d40f749, 0x4ecf455b, 0x80501c17, 0x0d5d0ee8,
+    0x84789545, 0x9341b04e, 0x893c6cf0, 0x69645201, 0x458332ad, 0xd2254fc1, 0x00277c92, 0x694faba9,
+    0x986433bd, 0x063ea1d3, 0x3a60a7fe, 0x4222f494, 0xd81baa8b, 0x63b21f31, 0x295ffb75, 0xb06e6020,
+    0x61b1a81d, 0x39b0b8b2, 0x240767dd, 0x20ca1661, 0xa3f98c90, 0x3281b88f, 0x83e500d0, 0x237ce8f3,
+    0xe23bb89f, 0x14e336df, 0xef8f266a, 0x6c20f97e, 0x49e21ec5, 0x7d989d4e, 0xa785bd16, 0x9d0083ae,
+    0xfb462de3, 0xb7f8da07, 0x20a5f7d3, 0x0ffa4e8b, 0x3bd967d1, 0xe054fbc2, 0x753d7d72, 0x91d09d81,
+    0xf8372429, 0xaee5e814, 0x5cf6389e, 0xb28bd6d2, 0x26190679, 0x4e4634e1, 0xcfabd94f, 0x799a3b37,
+    0x88695fef, 0x95377d0c, 0xb95aa543, 0xb976c9ce, 0xf33e27c1, 0x8b47afd7, 0x3f44f081, 0xfe3295cb,
+    0x48a50294, 0x696feed7, 0xa8d5b039, 0x477c83d3, 0x4355b8eb, 0x893513fa, 0xe7289e56, 0x5b3481c9,
+    0x482fa07d, 0x2da96385, 0xfe91194e, 0x05bdd5ef, 0xd7f7657e, 0x05fe4981, 0xeeadf26f, 0x7121ab10,
+    0x5fd44f9c, 0x7e541366, 0x9e5fffb2, 0x1cdc4277, 0x3c68fb21, 0x12c753e2, 0x57010c69, 0xb36fac42,
+    0x7f298ff0, 0xf76e5660, 0x94d9041f, 0xacfa2ca8, 0x8dda784b, 0x4b6b1485, 0x293443d7, 0xf5c30409,
+    0xba9f83e8, 0x82d41618, 0xa04f1e27, 0x4eb74813, 0x221a5a53, 0xb915c54a, 0x5774ef92, 0x3548d431,
+    0xc1501844, 0xbc23f86e, 0x2978f607, 0x60fa1a5b, 0x5e6c14f8, 0x13cee2f5, 0x47ff1f17, 0x9bc2183a,
+    0xfb024f78, 0x3a3ab3c5, 0x5c4fc8e9, 0xd94d9132, 0x51fb39be, 0x5712b8f4, 0xfbc32bf1, 0x65c734a8,
+    0x3bddc1b7, 0xeef90cc6, 0xdabb1dbe, 0xa66487d6, 0xc3867dfd, 0xa5813762, 0x6c69af17, 0x47ede956,
+    0x554072f5, 0x2e936619, 0x67f68232, 0xc9f6363c, 0x15df26c4, 0x0340fe62, 0x37532f67, 0x6e7b826d,
+    0xa917ff1e, 0x71b38764, 0xe336e7e3, 0x7b9726b2, 0xc5ae4bb4, 0xa2e20ec4, 0x603ccdb1, 0xea999382,
+    0x7959797c, 0x6230f95f, 0xbf654222, 0xea3e61d1, 0x101b91d7, 0xb4a3d01a, 0x51bd8639, 0x4bcbfbb9,
+    0x3d76cfe2, 0x567a1046, 0x38525ec0, 0xba8781b9, 0xe108243a, 0x4430fcd7, 0xa3d5b0be, 0x556c4da8,
+    0x085cee7d, 0x01865d7c, 0x583e85c5, 0x80d20350, 0x8da17b54, 0xbe06a2a0, 0x281925cb, 0x8c38478c,
+    0x9a5da75a, 0x18d3854d, 0x7613f604, 0x3c544da8, 0x13bcdf1a, 0xeb90ef81, 0x74c7463f, 0x56f39a8f,
+    0xa163a290, 0x95de161b, 0x1258bd70, 0x320bcf19, 0x48d546a3, 0xb67b7c7f, 0x226c787e, 0x9e4d8f3e,
+    0x410e82e9, 0x44e5cead, 0x4130c213, 0x5b845589, 0x13115aa5, 0x838709e6, 0xa8a045a7, 0xa9bb4d42,
+    0x765ffe82, 0x946280bb, 0xc5e0f5f0, 0xa2749d8c, 0xae3d60c2, 0x488d0cc9, 0xe01df679, 0xc9c534cd,
+    0xfe4b3ef0, 0xa2a9d7c8, 0x73cd349c, 0x356ddbca, 0x15aa6dd2, 0x207742ae, 0x1a3160c5, 0xee5a94cd,
+    0xb8ec0b2c, 0x1ebe387e, 0xe9bca9ed, 0x39de4bb5, 0x65ab1093, 0x1062f0f8, 0x0ff1ab89, 0x3e0a2c11,
+    0xa9f0b8a0, 0x57ca3278, 0xf82c3a74, 0x5fba2b7b, 0x48aea378, 0x17d2e97d, 0x7e4dc1e8, 0x857de295,
+    0x73b912b7, 0xcbb17cfb, 0x837ace45, 0x0a4e7e2e, 0x21af7231, 0x641727a0, 0xa63ab0e3, 0xea14fac0,
+    0x8564f8f4, 0x1cd00cf1, 0xbbdaedb1, 0xe9d4ee51, 0x247197d9, 0xc11c657e, 0x4ead3447, 0xf68e1e6d,
+    0x91a1541b, 0xc21134ac, 0xd3b3e669, 0x19f2b9d7, 0x336675bc, 0x1eecba81, 0x07b5264e, 0x410fdc48,
+    0x57a9ce03, 0xa0b41c24, 0xa249d9e1, 0xc43b86fe, 0xc55809cd, 0x6322c090, 0x9953efe5, 0xabd2b226,
+    0x402e287c, 0x29c09f7b, 0x77085765, 0x045959a8, 0x375bf42a, 0xa7dafc30, 0x73ac131c, 0xbc658ac6,
+    0xa4c78c26, 0x97b2f2ef, 0xf0b46ecd, 0x385b62eb, 0xe3d81531, 0x803c4ff6, 0x64e7ab7b, 0x83542207,
+    0xafa35874, 0xcf4cbe87, 0xc1216c70, 0xac61d309, 0x2e35ac4e, 0x08b5d920, 0xb2b4e33e, 0x9cefbe1b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000110427941548649020598956093796432407239217743554726184882600387580788736 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc9, 0x2a6fefa2,
+    0x00000000,
+    0x8569d07d, 0xc8c11cc3, 0xe3af63bd, 0x1cc7ec86, 0xb56d3749, 0x64d4b6e4, 0x982bd55d, 0x9a49e9b9,
+    0x02f8f66b, 0x7ba0cf98, 0x39add56b, 0xc5b5658f, 0x5b4f07d8, 0x28d2906f, 0xa68be17c, 0xfcfd5e29,
+    0xf72475e7, 0x3f88dccf, 0x6a742707, 0xf2735eaa, 0xd9893645, 0x9735c977, 0xae1343b4, 0xda4bd7f5,
+    0xcb19ce9f, 0x551cec5c, 0x5744be12, 0x19a0b9e2, 0x1deb6330, 0xaabda92d, 0x83c75870, 0xb2e562ed,
+    0x3f81e1ec, 0x3ddf1bbb, 0x8c800bee, 0x98acb2ad, 0x3930babd, 0x9e9f57eb, 0x0dd01169, 0x7e868e00,
+    0x58b0bc6a, 0x8d840157, 0xad13614b, 0x0da288fa, 0x9b73c202, 0x4030fb82, 0x11295a99, 0x10a5809d,
+    0xfb075ccd, 0x96bb7b49, 0xa185c4e4, 0x19464ec1, 0x141d3388, 0x5e53bac7, 0xdb5e7eb9, 0x933eef42,
+    0xd3ab74e6, 0xe3c74f39, 0xbe486e29, 0x834f51a0, 0x48fc28d9, 0xb2fa6d14, 0xdf41a2b7, 0xa131fc31,
+    0x6127e390, 0x76b24dd3, 0xe4d8717b, 0x00028c6b, 0x2fd3f1a4, 0xc5eb4b74, 0x9818384f, 0x06b46024,
+    0x77cd5775, 0x8bd29e62, 0xc431eceb, 0xd3bf956f, 0x3eea3e9d, 0xf651a0b9, 0x2a021a62, 0x7f326cdb,
+    0x4971fbce, 0x61eb2a41, 0x14455fb5, 0x1dbcdb07, 0xad21a0b5, 0x496bb8ca, 0xf8d6a785, 0x462f1d88,
+    0xf051f1d8, 0x6c27be2b, 0x98c2ed6d, 0x657719cd, 0x1190f760, 0xcd3af1e4, 0x9909cc69, 0x0464a856,
+    0x367c92bc, 0xe872363b, 0x4294b8c9, 0x2db4c32a, 0xebce1241, 0xca350aed, 0x8b998d7e, 0xcf75ef6e,
+    0xf22fd993, 0x222e2c8c, 0xad624144, 0xc3fcbc54, 0x15935fb0, 0x6e274917, 0x074895c8, 0xd586ceb2,
+    0xcd84bfa0, 0x72d5536e, 0x5f6b34ac, 0xbc9fdcf1, 0xb057a5e9, 0x82e82453, 0x57ad601d, 0xbff11ff7,
+    0x45b02401, 0xf448dcb4, 0x76f16c93, 0xf3401739, 0xe1bff1d9, 0x90a02604, 0x8c7cb2d4, 0x6646275e,
+    0x2d026877, 0x26e59dce, 0x3b03c6d6, 0xc02c438b, 0xcd25b5a3, 0x5ff9f2c8, 0x4dc4b890, 0xf4f840f0,
+    0x97b8b6c4, 0xc5ca7bcb, 0xd6580415, 0x4c6269e6, 0x95a2cb7b, 0x4f28737c, 0xee5d73a5, 0x4f77cd7d,
+    0x51e9b93a, 0x93150814, 0xc419898a, 0x1bf2f9fe, 0xe2afec7a, 0x81697dfb, 0x96fa6505, 0xf183f242,
+    0xa718afca, 0x7db7fc04, 0x30882f25, 0x5b291c47, 0x88e96b02, 0xb73a8c1b, 0xa0cc0e5c, 0xd757563d,
+    0x72fe735f, 0x370f1991, 0x76a375ff, 0x75b99036, 0x7a3fd31e, 0x38d3ce6d, 0xc717411c, 0x3870e382,
+    0xfba39d6f, 0xa4579b3b, 0xf759b5bd, 0x41b2ef6d, 0x538f28fb, 0x730e4c6c, 0x0da5eadf, 0xd3d2f5fd,
+    0x09427641, 0xaaf25e8b, 0x4532293c, 0x832454de, 0xaabab13d, 0x0e15eb31, 0x9818cec0, 0x9a655585,
+    0xdf636cfe, 0x3a5ac072, 0x9d9f3d8f, 0x8ab010ed, 0x3d8335dd, 0x3a58cb9c, 0x62ad849c, 0x91ff0cc1,
+    0xdea0d037, 0x50df795e, 0xd3a4de28, 0x18624e90, 0x1c9d97fb, 0x9968c563, 0x1f7462b3, 0xba285c4d,
+    0xdd7d3a7a, 0xcbd60021, 0xe9c67c0d, 0x4b2c36dc, 0x59eda0bc, 0x4f00c9af, 0xc023c01b, 0x6fa417c2,
+    0x70d7d7de, 0xa408dd31, 0x29867eaa, 0x3a1a0070, 0x18f79b4c, 0x4586f2e5, 0xed0dca32, 0x54d712cd,
+    0xfd6bcecf, 0xf227840f, 0xbb7cddf7, 0x3ee3370f, 0x1767fb19, 0xa1e22fa9, 0x4f03af7d, 0xc9f7e4ab,
+    0x458ba965, 0xdf714957, 0x968c23e2, 0x8af70751, 0x5c7d3e00, 0xf7813741, 0x5ec08f55, 0xe0afee1a,
+    0x8e0b1cec, 0xf0b9dc72, 0xac663825, 0x79a4c608, 0x3cdd64d8, 0x022c51dd, 0x0c99822f, 0x97437307,
+    0x22102656, 0xce6a0ecf, 0xc2ccef93, 0x8f6e93e9, 0x36e3ba27, 0xf65a5395, 0x67cb195b, 0x95d13c4b,
+    0xfd1c74d8, 0xb3695efa, 0xe64e283a, 0xcdeccb44, 0xec1fe1de, 0x50e42273, 0x1099fc47, 0x3483619f,
+    0xd58187cb, 0xdc49fb9f, 0x9d139693, 0x10c56b4d, 0x11c10bd1, 0x7bead2cd, 0xea608cf8, 0xc2efd5ed,
+    0xf57d46e5, 0x26fe58f0, 0x0e96b580, 0xb876c7fa, 0xd47e9077, 0xbc58183a, 0x75d501e5, 0x4357e240,
+    0x153e23e2, 0x38608c6f, 0xf1e08bc6, 0xcf068a87, 0x35ecac6d, 0x980c6ed2, 0xfdfcf2e8, 0x9c87fdcc,
+    0x26ba4125, 0x12add5c5, 0x1b86b346, 0x0896d666, 0xc6776b54, 0x517c9c00, 0x6b658a8e, 0x37ff6cfb,
+    0xc1654095, 0xf75a41fb, 0x64afe50d, 0x1be7fc36, 0x545e0596, 0x5736b69d, 0x5e446fbb, 0xaaf1686a,
+    0x149f228c, 0xdeee1858, 0x184d773c, 0x274e378f, 0xda4210ba, 0x4528ca02, 0x28504759, 0x86274f42,
+    0xc4da58c2, 0x981705cb, 0x5651caab, 0x45acfa6e, 0x23284e57, 0xf2642aa5, 0x05ed9a1a, 0xaa0e260b,
+    0xf6aa2a6b, 0x386ddce6, 0x9bff9498, 0xb6921201, 0xcce7ffe5, 0xcb210575, 0x477b218c, 0x13b21b98,
+    0xf1c877db, 0x4ba8f862, 0xfca4019c, 0x80dfcab9, 0x4c208840, 0xb655965a, 0xc727b982, 0x1666d616,
+    0x64ea8da2, 0x2b02b355, 0x9478103a, 0xdab07b30, 0x69c5b240, 0x53f389c7, 0x154ef6a3, 0x8210dc43,
+    0x11725af6, 0x9bf97ad6, 0xc9496dbf, 0xc4932902, 0xb045a84c, 0x9e914893, 0x52a7e86d, 0x89bcd2b7,
+    0x4fecb7de, 0xf34e8085, 0x38df9bfe, 0xf3fde896, 0x2ac79f1e, 0xeab4524a, 0x248d82ec, 0x7af15751,
+    0xd6c1a646, 0x1e218bb1, 0x17308cf1, 0x0991344f, 0xbbc9a1d4, 0x5a2d642e, 0x806c79f8, 0xc02fdad3,
+    0xf2c94206, 0x81dacf52, 0x1a9083cb, 0xc9ca2eb6, 0x521e43ec, 0x7bf18fd5, 0x84ad8300, 0xd45b85ad,
+    0xcfd3d791, 0x295760fe, 0x7f5d0963, 0x05cb1fe4, 0x254b5218, 0xd7e315ff, 0x46dd1001, 0x7db5a82c,
+    0x0a904bdb, 0x8cd43c37, 0x30d67864, 0x558f883d, 0xa7003cf5, 0x1984842a, 0x1765f990, 0xe986129c,
+    0x5a7f708b, 0x78570c0b, 0x0b8c6494, 0x12b4dcbd, 0x681ae13f, 0x2dcb4704, 0xeb40f19e, 0x19815add,
+    0xde9d63f8, 0x6ab959cc, 0x5189cc9f, 0x681f3b53, 0x1af6b185, 0x28842321, 0x61e2239a, 0x310b278b,
+    0xcc6fe451, 0x15429615, 0x32402615, 0xd15d4466, 0x520b6dff, 0x94298213, 0x466ce7ef, 0x8054b0ec,
+    0x33c49c88, 0x8fb9678a, 0xfd854eff, 0xf6b2a12e, 0xa09ba5a7, 0xf8e81477, 0xf617321b, 0x82831124,
+    0xa01a30ea, 0xad139cc6, 0xdf530079, 0x31657d42, 0xd1435875, 0x5f2435f2, 0x33b99ee0, 0x453a9144,
+    0x632bbfa4, 0x98e97ab6, 0xa9e89fae, 0xc0eaf557, 0xfbfe072d, 0x0d73fef6, 0x6060198b, 0xa87de461,
+    0x9e46e601, 0x9e5a2736, 0x1a22c895, 0x520ae8db, 0xa598060a, 0x83aafe99, 0xcbf4515c, 0x12b899c3,
+    0x8e4ef79d, 0x3dc7a51e, 0xc833737c, 0xacb18460, 0x583e9e1a, 0xde88b882, 0xfcc99c8e, 0x07c4149e,
+    0xa9e73ff1, 0x3b231cc7, 0x15785d0a, 0x768dcbaf, 0xbc549ac5, 0x39a80ed2, 0xd47fdc4a, 0xbdf2ef6e,
+    0x800118fe, 0x31c1faa7, 0xeeb5bbf3, 0x061c41cd, 0x1e326aee, 0x1ac8bcd5, 0x20a93e4c, 0x68caf209,
+    0xc7f423d1, 0x72ce20e2, 0x7c10e668, 0xe22028db, 0x010ac97b, 0x704ffae1, 0x7709fdab, 0xbe7e9944,
+    0xd787258e, 0xcece3479, 0x3bf0bbf2, 0x31158e73, 0xafb8c61e, 0x9b21cdb1, 0xbe3b571d, 0x994b4981,
+    0x39875ee6, 0xd2e72d6c, 0xecaf070b, 0xcb401eea, 0xce8936c1, 0xc15fac5f, 0x86de9098, 0x4e06e7d1,
+    0xf29ad8e6, 0xe705218d, 0xec685e2d, 0x8cc1c7b8, 0xdf94620a, 0xf0765770, 0xaedaa45a, 0x3f116e04,
+    0x0d652835, 0x11582897, 0x85a2f2af, 0x13deef94, 0x164df9c5, 0x5b74769d, 0x9bd5377a, 0xbaf4ad88,
+    0xac3df34f, 0x48ad3626, 0xe0f1ff18, 0x2b9ba904, 0xf597d6b6, 0xbbf2a2b3, 0xe01cfb19, 0x213c72d2,
+    0x3aecc11f, 0x4077112a, 0x0f59dabd, 0x98ee7450, 0xf961b3e9, 0xf230f4c8, 0xa7777fc0, 0x16102a97,
+    0x37e4b658, 0x0cdc1fd4, 0xe8cee12c, 0xc01720ca, 0x8085609b, 0x14759d7a, 0xb27aaa61, 0x59df0068,
+    0xc4bbaf4b, 0xd94dfe0f, 0x2e9acfd1, 0x1db50050, 0x21659fd9, 0x972c08ee, 0x308be491, 0xb1ba740b,
+    0xdd04a50b, 0x9c40f782, 0x73885dc3, 0xeaca944f, 0x383e2dbb, 0x8ad1dbc0, 0x70f918e3, 0x82da9cd6,
+    0xa8b2b7a7, 0xed6a4158, 0x62d29646, 0x750b9ebe, 0xee49900d, 0x40380062, 0x9f6fcfd7, 0x6a5a6502,
+    0xac8cecb3, 0xcd0c2d7f, 0x27eade6f, 0x1a9d17e2, 0x411b7072, 0x67bf1791, 0x4a8c14fd, 0x1c6f143f,
+    0x128b750b, 0x22cb1b44, 0xf9411001, 0xeced9c94, 0xf089f6d5, 0x6b1c5f96, 0x86bd048c, 0x3674da5d,
+    0x7a6e6b68, 0xc50a92db, 0xf45375a6, 0x0df82351, 0xe36fd27d, 0x214304f5, 0x9161b813, 0x13db64e8,
+    0x2739a89c, 0xba9ace70, 0xc6fd1d49, 0x7de401d9, 0xbc40a7e5, 0xa4478eb3, 0xa51fb232, 0xc035fcce,
+    0x32c01ff3, 0x0d75c14b, 0x5b31f626, 0x8a0f04d2, 0xfa382fbf, 0x68ef4bb7, 0x964a90fe, 0xe83c5913,
+    0xcabd51bd, 0xb74709bf, 0xef50436d, 0x9cee2deb, 0x03f6d9df, 0x8b04315c, 0x46c82bf3, 0xef61e8cd,
+    0x5a2b769d, 0x4e9d429b, 0x64d9c34b, 0x9bae1d7e, 0x620a0c68, 0x7942c2e9, 0x7e578fd0, 0xe31b3e59,
+    0x33f54933, 0x6b34bf76, 0xd4e7e6bb, 0x6356962a, 0xa95a12d9, 0xffb2a4e7, 0x7771ed97, 0x081acbdd,
+    0x4d60f326, 0x4da2520f, 0x76f7db6e, 0x63ee0623, 0x0ba75cb6, 0x38de92d8, 0x5bfba3d5, 0x8e6ea159,
+    0xd4ef8349, 0x89c43cd9, 0x7d39b2c3, 0x55997401, 0x9b6858e2, 0x3c934c0d, 0xe26ad289, 0xe27cb691,
+    0x6901be2c, 0xedb2a822, 0x546528f8, 0xcaf0f149, 0x142fe406, 0x33780f4f, 0x7eb61aa8, 0xfa2cae50,
+    0xda566c2a, 0x017cd097, 0x6a26f301, 0x2fb65b77, 0x30e5cb1f, 0x728caba5, 0xeabe937a, 0xa3ad5f3b,
+    0x823e88a4, 0xe14cdefb, 0x595f0a4f, 0xe6f8dd50, 0x721c64ce, 0x1c8c6e58, 0xec0c181b, 0x571b3f92,
+    0x82dcd030, 0xa7fc55a2, 0xcca7bd95, 0x35a7bf8e, 0x69dd9f40, 0xdb678ac8, 0xcd4c689a, 0xf2dea05e,
+    0x2d8f2f81, 0xe8acdb2e, 0x5a1fe7de, 0x6bce54e7, 0x330340fe, 0xbb062eb9, 0x77516edd, 0x9d128e0c,
+    0x9f9400d1, 0x5e626110, 0x82d054ed, 0x88c4283a, 0x164ecd9f, 0xc2c51f8f, 0x7a5686df, 0x7a849356,
+    0xb88253ea, 0xb2408e75, 0x72cc239c, 0x2078a32d, 0x1493ff17, 0x9077505b, 0x658c6838, 0xd3164691,
+    0xd7ef40ed, 0xa2be81ed, 0x8386270f, 0xde7a2d50, 0x55f6c37b, 0x0439d479, 0xdad15ef3, 0x90357ce7,
+    0xe604afff, 0xdde9cadb, 0x6785da00, 0xe5d2dbb6, 0x23f87b41, 0xb5539f09, 0x7bc6c2c4, 0xe64c31ac,
+    0xee019e8e, 0x483a0e76, 0xd9492771, 0x65a52aa9, 0xeae5a0e0, 0x9b0d3d53, 0x2736127a, 0x1abe329f,
+    0x5adf8c9a, 0x5750fdef, 0x145ca2a5, 0x06bf41a6, 0x3e15b41b, 0x1e0baf1e, 0x63f22433, 0xccd2f513,
+    0xefa24e5e, 0xe1bba59d, 0x19809140, 0xd479b4c5, 0x47e48fc8, 0x115d0a57, 0xd6aa62ff, 0xb7f0df14,
+    0xe76a5340, 0xf589607c, 0x2493bdf4, 0xf14fb359, 0x2d89f1ec, 0xbdb37042, 0x44355db6, 0xe45e653a,
+    0xdbf8a568, 0x826ae02d, 0x79cb6bb9, 0x4bdf9ccc, 0x9b949c7e, 0x2122c91f, 0x87dab7da, 0x6dd36ceb,
+    0x3401124b, 0x4e92b817, 0x6c5ab16f, 0x7875318b, 0xe5695711, 0x64bc669e, 0x45b5c719, 0x135d91e6,
+    0x08fe619b, 0x52fc8711, 0xb40380b9, 0x802518df, 0x102d5d4e, 0xc539fc7c, 0x45e7daf0, 0x4120c693,
+    0x10f4012e, 0x9c030cd3, 0xbede234d, 0x2a824a5e, 0xa6c18fa4, 0xe8a997ed, 0xfc148d58, 0xc022a17f,
+    0xd33ed4fc, 0xf5a9248f, 0x24f88ed3, 0x14414f42, 0x2261c5c4, 0xb39d3fb1, 0xa1da8c0b, 0x16e74b12,
+    0x6faa93c3, 0xea67ff99, 0x964b331b, 0x7fafb584, 0x73bb8a71, 0x07d34b15, 0xf9c31b71, 0x36a4dfb4,
+    0x8d5d723c, 0x89c3fd6f, 0x63a5e291, 0xa1bde6bd, 0x25508cc2, 0xa7905752, 0xd2bb0b02, 0x22573900,
+    0x1fb3d6ae, 0x89c25dc6, 0xd5b0913f, 0x3ba2ef07, 0x3900720f, 0x98ef5687, 0x2b4135c7, 0x6a9e27fd,
+    0xf4b1addb, 0x11c8f432, 0xf4142ddf, 0x2848f4a5, 0x22991645, 0xe31004a8, 0xe4b88714, 0x4ac4035c,
+    0x0b5ce84d, 0xd1af82c2, 0x88a8cc69, 0x8028812a, 0x8a03d50e, 0xd98556e4, 0x835bc7f8, 0x46abb5a3,
+    0xe322c800, 0xe29f8a76, 0xe7ca9528, 0xbe068ee2, 0x8e3f7b53, 0xd41583ff, 0xb36333e0, 0x82e5c33f,
+    0x7653e797, 0x873e1c7e, 0x1d095c67, 0x5e928770, 0x6203a7b2, 0x09b8c43b, 0x7a5ab517, 0x774dab42,
+    0x66831012, 0x4b4230f1, 0x010a68fa, 0x1dcf683d, 0x8445c579, 0x76012a53, 0xe723e3fe, 0xd2d346db,
+    0xa13b2493, 0x186b1b89, 0x34fd4d66, 0xe5eb90e9, 0x84bd86fc, 0x8d23bdc8, 0x9b9756db, 0xf49c80fa,
+    0xc7d198d0, 0x9423fe3c, 0xe84ae89f, 0x331aa3ca, 0x1082cc81, 0xa7edb7a0, 0x6a242a86, 0x4a092b86,
+    0xb3e9c8b0, 0xb2cf738e, 0x87f4bdc7, 0xa5efd7dd, 0x8bdf0eaf, 0x5724a017, 0x1cebb85e, 0x52fbe093,
+    0x1d576b0d, 0x550a7d3c, 0x1e6d3b10, 0xb5e3fa71, 0x19ed8fb7, 0x0bd1d551, 0x0cb33ae7, 0x0c60825b,
+    0x6b25761e, 0x6bee6e8a, 0x70201d7d, 0xa9ec7c8c, 0x17045173, 0x2868184d, 0x23bbd8cb, 0x16e9fd5e,
+    0x626273ac, 0x7533fd6f, 0x4df149e0, 0xae785118, 0xefec8fb8, 0x77c22263, 0xfcd1a375, 0x99262593,
+    0x3f5c45b8, 0x75331d9f, 0x4c69e62d, 0xfbd77ca4, 0xe995afe8, 0xd91abfda, 0xdc6a0175, 0xdebf263e,
+    0x7bdea906, 0xce2b9ed8, 0xce62c0be, 0x977d8fc3, 0x57df692d, 0x3e35fc0d, 0xb813f170, 0xa62416b1,
+    0xc865458d, 0x0268cb28, 0x22b78dac, 0x23953d08, 0x364168b8, 0x8a62a547, 0xfbc78700, 0x864447e9,
+    0xaffc16ca, 0x9d37b917, 0xf3c680ea, 0x1857eac8, 0x9a66090e, 0xc46a049f, 0x2c3d4da0, 0xb236988c,
+    0x4e905cf6, 0x2975b5d1, 0x9c91370c, 0x8fec48da, 0x6f03cd4e, 0xe25c48fc, 0xe01e82a0, 0x6c8dc0e0,
+    0xbd342891, 0x5b38430d, 0x36ab347d, 0xda589600, 0x5bebed13, 0x6b6a5a8c, 0x37d8295c, 0x5840e727,
+    0x94d7e2af, 0xb41578a6, 0xf9ff5c32, 0xe955205b, 0x305b53cd, 0x193976e2, 0xc29ecc45, 0x2bd4cbfa,
+    0xded99002, 0x4795bf07, 0xee174363, 0x7ad283fb, 0xbc3afc3c, 0x3c8fa8a3, 0x78d1340f, 0x95284ab4,
+    0x62b895dd, 0x9cfe7c60, 0xd707f956, 0x2c95833c, 0x31d90521, 0xa702194d, 0x70c14e2c, 0xd50abdbb,
+    0x9cc164b0, 0x4cc9d0e9, 0x1b047684, 0x0e72863f, 0xb0b4589b, 0xdc01ebf5, 0x891a1534, 0x32adc332,
+    0x0ab8f303, 0xa7265fe0, 0x8101ab90, 0x8639c2c3, 0x2f6f66aa, 0x0349144f, 0x8ccd7d48, 0x76ae691e,
+    0xe2ba6e1b, 0x367f9712, 0x06b67f43, 0x7c2f4b8f, 0x0293ecf2, 0x374e13dd, 0xcf0eab56, 0xb4542901,
+    0xb5e4f8ba, 0xb1682256, 0x384d3c0d, 0x61192c8a, 0xb2ed2e8e, 0x69d7a9c1, 0x7f4c32a5, 0xca0a2d95,
+    0x90559755, 0x00c50575, 0xf0aea89f, 0xae3158e1, 0x787c9c83, 0x7941a4cc, 0x6058fa74, 0x190602a2,
+    0x034ee815, 0xeee9108d, 0xa1a6a3d4, 0x56c621fb, 0x4da0f6b8, 0x92b48ed3, 0xeb87342b, 0x771b342d,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000055213970774324510299478046898216203619608871777363092441300193790394368 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e4, 0x9537f7d0,
+    0x00000000,
+    0xb8ceb8bd, 0x2e9765cb, 0x8c578e34, 0x046786d1, 0x64beb7df, 0x1f3627fe, 0x5b3f2b86, 0x84029fd9,
+    0x577bf068, 0x26ff1cc9, 0xa4c97043, 0x8aa4c996, 0x2a8351ee, 0xf82b81fe, 0x5632f9f2, 0x6e2b96a4,
+    0xdc784c28, 0xe5e0b72e, 0xb1dd1368, 0x8e453d34, 0xf28bccbd, 0xc43e6b72, 0xc7a5b917, 0x660d3d18,
+    0x490d59f4, 0xdaae7cb5, 0x1480fd78, 0x5da1497e, 0x225a6b17, 0x7e85bc70, 0x7d242bfb, 0x4bec8f97,
+    0x83e31c5d, 0x2a0de927, 0x8379c1a5, 0x980d3621, 0x84b2c964, 0x87a7d42b, 0x1b85b71f, 0x4c4b50e7,
+    0x1e379540, 0xfe4e17f1, 0xbe1a7259, 0xee58adc6, 0x1e2f2888, 0xb27da764, 0x05ad5bdb, 0x74e39872,
+    0x3d983e2e, 0xe18eb713, 0x16df824d, 0x212955b7, 0x37cc2e91, 0x9bf620db, 0xef4a7c24, 0x93a3520e,
+    0x6d1f44f9, 0xe5cb95a8, 0x9be7d27e, 0xc5ea612c, 0x71a90893, 0x73a7be3b, 0x3794e276, 0x1873b184,
+    0x881936de, 0xd1a215a0, 0x4abb7d0a, 0x4ed0b12d, 0x418d9ae8, 0xc5abf9cb, 0x4d78c2dd, 0x1dd24715,
+    0x8c82d1bc, 0x27138a71, 0x812fd5ff, 0x1a727782, 0xb6606407, 0xe5faf6ef, 0x996f947a, 0xf2b17059,
+    0x5999baea, 0xca1ddf5a, 0x0e1d923b, 0xb20b69f1, 0x135aafff, 0x2d407f1b, 0xb47c6ddc, 0xbdd347a7,
+    0xfd3f886c, 0xb414d59b, 0x2c7e4fb7, 0x1a0ce046, 0xc7f82fc8, 0xdb2e66ca, 0xd651030a, 0xe5230799,
+    0x38f06db5, 0xd01f2548, 0xd6956d24, 0xefc891ff, 0xa5e22eb1, 0xce23faa1, 0x9e66190d, 0x6ac9a054,
+    0xb8db68a5, 0x915a5b61, 0xa8cf527a, 0x276962f5, 0xde28ad2d, 0xa64a3aa7, 0x81d1e9af, 0x9647489b,
+    0x32d44a68, 0xdbb5d304, 0x10d07f46, 0x84065545, 0x39d712d5, 0x19894217, 0x02107c67, 0x32a7148a,
+    0x11bd51d9, 0xe7fe7613, 0xb0b21b76, 0x1d83796f, 0x741648c8, 0xc47fc132, 0x7d5d7b0d, 0x5b76803c,
+    0x52574da6, 0xa1d47672, 0xd7e2effd, 0x914b5b76, 0x5e4e18e5, 0x948360ba, 0x9f6a8389, 0xd673f052,
+    0x7cd6903a, 0xb6fa6425, 0xae7dd645, 0x675c56ff, 0xea5a0049, 0x3235c01f, 0xec9fc3be, 0xa7288d16,
+    0x7fbfb27d, 0x3aa378f0, 0x0e246d13, 0x113c22cc, 0x2526f0b7, 0x2e09be5c, 0xed559720, 0x3ccaf6e3,
+    0x5dff144a, 0x523758cf, 0xe0ea3870, 0xa6e3c1a1, 0xb5b96224, 0x430dba0e, 0xd2df3f35, 0x1bda10f4,
+    0x8bfd9f78, 0xb34b8147, 0x4b3f317e, 0x179b4f83, 0xa2f361fe, 0xa1e55c7d, 0xe0aadbe4, 0x6913bab6,
+    0x40db8e50, 0xf9018eb4, 0x7b8852a3, 0x7e80ee27, 0x97134d52, 0x810a081e, 0x2aab53eb, 0xb1b76111,
+    0xf5e2465a, 0xd8c37331, 0x505ba1b5, 0x8267bdff, 0xa165475c, 0x13d957af, 0xff093970, 0x487ec6e5,
+    0xedf58d3a, 0xc3b99b0c, 0x1db3f973, 0x552d5935, 0xd852af39, 0xae200505, 0xfeabd997, 0x0c5fe9a4,
+    0x3fd1709e, 0x3a7816b3, 0xa14eac74, 0x3db68e75, 0x98577d18, 0xc227cf7c, 0x3f3eefab, 0x18fe7832,
+    0x67b5da9d, 0xde03fade, 0x1674ebee, 0x1be32fcc, 0x53e97be9, 0x94c6e08b, 0x3a02d0d9, 0x3ccd123a,
+    0x8689db0d, 0x6394e3d0, 0xb881d442, 0x349f8d5f, 0xa40bc05f, 0x373c1906, 0xf525287f, 0x0d3504d9,
+    0x8e212b66, 0x3b1d6d81, 0x5bbfbce5, 0x64da2106, 0x76e30b32, 0xf3a4beb0, 0x401a4381, 0xc2be67e3,
+    0xf978b5e8, 0x10910d37, 0x4f7c165b, 0xb22a80c8, 0x7f0ee55b, 0x499c4519, 0x1a27593d, 0x1e187fa7,
+    0x6a4ba162, 0x869ef032, 0x1fbb17ec, 0x49b624ab, 0x70e144ab, 0x1f220759, 0x103f526d, 0x9dd5e732,
+    0xfaaff91f, 0x4ee3de11, 0x0df107e5, 0x52bd7f2f, 0xa877ee66, 0x78c91755, 0x6190a501, 0x0229b4e8,
+    0xce83645d, 0x0d6a4329, 0xe7baf7f9, 0xbf152533, 0xb23339c7, 0x122be8c1, 0xa97f1e2f, 0x8c5cf415,
+    0xdfd8f8d4, 0x088a5510, 0x27c6cd38, 0x3a9d6359, 0xe38a8878, 0x2f13a923, 0x12446613, 0x85a51fbc,
+    0xf3c6366e, 0x2b19a02d, 0x5da5e5d5, 0xdf550b9c, 0x2020779a, 0x17845e20, 0x5eb87125, 0x9c0165f7,
+    0xdb2b8758, 0xf7a8d654, 0x85c5d285, 0x6139545f, 0xa55cd9e7, 0xf7e6d28f, 0xd7e94e43, 0x572c3ab4,
+    0x68a8e022, 0xa06ef24e, 0xa99cd414, 0x2b09efe9, 0xe4ef4a12, 0xa0ee2285, 0xec47cc46, 0xdd9b0f69,
+    0x76379edb, 0xe2fdef5f, 0xed7aa5fe, 0xaab10780, 0x485e3600, 0x70048ae6, 0x1acc75ca, 0x8eba7bb7,
+    0x234cb977, 0xeebda89b, 0x64f93376, 0xc37eb563, 0x82284b3c, 0x390875a5, 0xd67b2850, 0xc848e279,
+    0x7c075b4d, 0x300c776a, 0xe304e5b9, 0x57a2331c, 0x1aaa40ad, 0x72259a01, 0xf7ecc347, 0x2edf1ccc,
+    0x4c745bce, 0x37d5c4e3, 0xc7be730f, 0xcc8a2911, 0xb106abee, 0x37030f0c, 0xd487f8e0, 0x4dfbe9e0,
+    0x9b96800c, 0xb3a69a59, 0x3231d176, 0xbf662166, 0xdbfc3634, 0x7de4c326, 0x08d2d881, 0xa58bc638,
+    0xbbc30b81, 0xa276e928, 0x15b67571, 0xd6f1ca3c, 0xcdac8cb1, 0xf7b6c2a5, 0xf6073057, 0x56c1c324,
+    0xc94eaa0d, 0xc87fb0e4, 0x128257e2, 0xd51cc458, 0x96c57400, 0x2ad06cc2, 0x0ccd30c0, 0x44ac89ae,
+    0xa736046f, 0xd7327bef, 0xd274022f, 0x7e242e40, 0xf14655e4, 0xf8f2e383, 0x61d52188, 0x6ef4d227,
+    0xe091bc39, 0xd1927bff, 0xffb5d0a6, 0x83b4eb2c, 0x7ff370e8, 0xcd16c9c3, 0x04d0b0b0, 0x6f03fd87,
+    0x0da3ea40, 0xdff46795, 0x3d8eb55f, 0xce0db5ac, 0xa6c60522, 0x92cfed6b, 0x243b44b5, 0xdb5ca597,
+    0xb31836e4, 0x2d918983, 0x2f3eb21c, 0x21ae17e4, 0xc90383ab, 0x6d5f821c, 0x96143b13, 0x7100019d,
+    0xb4583e75, 0x7322a53b, 0x6618fcb2, 0xc47d2d98, 0xae4edeb8, 0x24ed7626, 0x1ca4c45f, 0x4bb87e7b,
+    0xdaabb3f9, 0xe439a2a9, 0x19bfef1d, 0xf6a4a2ec, 0x98d9b48e, 0x07c7b0cc, 0x486dc3e5, 0x0ff2a4ed,
+    0x5cefb61e, 0x3c2a3e83, 0x2b4bfd47, 0x21ad9f47, 0xa09b892c, 0x4b2d6254, 0xcbda63c3, 0xf2158065,
+    0x5eb16e4f, 0x58ed757a, 0x9ad05969, 0xe9959d58, 0x94384aef, 0x3e702927, 0xa62d407e, 0x17de848b,
+    0x90fcfde7, 0x0c76aeee, 0xfb5871de, 0x1800d75c, 0x1094b54d, 0x6306f449, 0xbbc4e761, 0x8af50805,
+    0x6d352fb2, 0xa7f467df, 0x8a3759c8, 0x29dafec9, 0x405f4fe5, 0x3c3a5c4b, 0x05c2c07a, 0xbdd8544f,
+    0x8df434e1, 0xf1d530fd, 0xf18fc5a7, 0x9e8cfd41, 0x509f7732, 0x0e6a9ec6, 0x9b17c050, 0x39426441,
+    0xa10fde68, 0x5244f4ab, 0xdaee1433, 0x66bb4847, 0x303020be, 0xe7647e29, 0xebdd3de7, 0x02220aeb,
+    0xfa6acaa2, 0xa9e6741b, 0x83df8d64, 0x2cf12e8f, 0xb342c74d, 0x9ee8655e, 0x59ca7e9e, 0xf1d38058,
+    0x2c82cefc, 0x3fac36be, 0x233f4162, 0xb45bc487, 0xc2aebe0c, 0x89a1aa88, 0x6301b6a3, 0xfdeffe33,
+    0x8158aab8, 0x0ad46109, 0x57c2b6fe, 0x6662bb1b, 0xbe29ff78, 0x16897b19, 0x2782764c, 0x80fdb3da,
+    0xbbc5ebdd, 0x5e515e11, 0xf44ad30d, 0x2039bac0, 0x09fcfa21, 0xa4dc51fb, 0x35259eac, 0x6957c553,
+    0xbfd59a7f, 0x5792246a, 0x96491952, 0xead53bde, 0x05842e78, 0xf7302fee, 0xd307a84c, 0xd85766f9,
+    0x9a1c2052, 0xa8cd8ed5, 0x6afd4c30, 0x2262acb6, 0x9fc27f26, 0x09cc4fbd, 0xcb2aec58, 0xe5cbe45e,
+    0x4467d67d, 0x84ce8365, 0xb1acc875, 0x7db7aae4, 0x28ba0ac9, 0xce9d0c93, 0x51254c9d, 0x385be901,
+    0xbebf59e8, 0x1569bd01, 0xb461c937, 0xa1b99b6f, 0xa3d3decc, 0x2be45e46, 0x5f12f2ae, 0xbdb436c5,
+    0xfaceca18, 0xb0796195, 0xd05cacbd, 0xaa844abc, 0x6e252bda, 0xf9a5b628, 0xc4ab4e67, 0x46bda410,
+    0x148fe3dc, 0x29066d48, 0xd59e7f83, 0x54f03409, 0x3189f9f6, 0xa6ff75b3, 0xcdc949a1, 0xc02dae69,
+    0x08cc1418, 0x75025358, 0xcc30913c, 0x27965235, 0x6264f15b, 0xb9932ba3, 0xac812acd, 0x6ba983c2,
+    0x31e7e7e7, 0x88679256, 0x17452463, 0x6098ead2, 0x8920d11f, 0xbe5d426b, 0xf3edd7a6, 0x35741724,
+    0x79792265, 0xe23c7989, 0x72629766, 0xbb49e428, 0x19e6bf5e, 0x18e990f0, 0x7f0b8726, 0x4e97dc44,
+    0x1fde4b5d, 0xcd1b85df, 0xb3de27e0, 0xa6bc1e2c, 0xc3c44e85, 0x84ac7ac1, 0x952f1b9c, 0xf35f95ce,
+    0xc329b4f6, 0x2e4db36b, 0x8013b6e4, 0xdac63978, 0x6016fda3, 0x7c24418c, 0xf27b1965, 0x8faaeb70,
+    0x6bc45c55, 0xadf18e51, 0xa5819d48, 0x5bd940b2, 0x1b5ffdb0, 0xc1c02d11, 0x71f472d7, 0x157d1db3,
+    0xaaab91ec, 0x9b4af717, 0x211fe2d7, 0x4ddb1496, 0xb9dd38a3, 0x72355c82, 0x9fb89089, 0xfad94641,
+    0x140ed672, 0x12069816, 0xe6899b09, 0xa3142a23, 0xcb13434d, 0x3f00c9dd, 0x37a8a6b4, 0xbea4d976,
+    0xa5b4c180, 0xc7832e1b, 0xd470c593, 0x9739b0c8, 0x7ac16294, 0x992137ad, 0x54978e1b, 0x0b3c1f88,
+    0x0166b5a0, 0x06f94faa, 0x17362b57, 0x5f4764e2, 0x7633b4f4, 0x6b5f5875, 0x57959a55, 0x75b469f4,
+    0xaa3ae40a, 0x4caad03a, 0xf735ae25, 0x48705e9a, 0xba87e5ba, 0x59eac2ab, 0x94483ffd, 0xdc64cd11,
+    0xc8942412, 0x617ee85c, 0x583c3197, 0xb4b7999a, 0x724b5567, 0xa35987e6, 0x8a910378, 0x254f01fd,
+    0x5f3c1cb0, 0x10e7697b, 0x3a00d00b, 0x2d2b126a, 0xd1aa78d7, 0x0c8050e3, 0xfdf828e1, 0x88f35b51,
+    0x26ecba03, 0x9aada03b, 0x12c9405f, 0x5aa64c70, 0xa4ddcd82, 0x81f04aa3, 0x2c2e2ed3, 0x2dfacc6a,
+    0x62f7210a, 0xc37987fb, 0x5415bc7b, 0xe8d82a26, 0xdc5608b2, 0x460f8272, 0xe7013814, 0xebf28adb,
+    0xf98a2741, 0xc309df97, 0xeddebcdc, 0x44767feb, 0x31912516, 0xe1dbe56d, 0x2e6858e7, 0x7fa23fb5,
+    0x7102caae, 0x7c7827c7, 0x3f578781, 0x4647fee0, 0x1ac7d327, 0xca55481d, 0x10ed8824, 0xa105c37c,
+    0xf07cc58d, 0xd9868018, 0xa2878927, 0x4b26bc4b, 0xef6cae57, 0xf12dcf5a, 0x07ea8b17, 0xeb1d53e6,
+    0xe68061ac, 0x9547a367, 0x62709ac9, 0x04f1a0e0, 0x5225c5da, 0x763b0010, 0x216598e0, 0xfbfb5ef8,
+    0x46c1c568, 0xf7eae491, 0x6a914790, 0x9a704e28, 0xb8cb5567, 0xd3080244, 0x3280eddf, 0xd83cb390,
+    0x5395458d, 0xfebfec26, 0xaadfb7f8, 0xec5e161f, 0x20d7bbb3, 0x12dbcf8b, 0xb8e28239, 0x2cf7432a,
+    0x107f6a37, 0xf37bfc96, 0x1cb3a792, 0x08da3ba7, 0xf38cced3, 0xe344a793, 0x07f7952a, 0x03716d57,
+    0xb120e2fa, 0x7d49eb90, 0xbccc8175, 0x9a00b74b, 0x3fc8a512, 0xaea19bcc, 0xdad221a6, 0x1e24591a,
+    0xbd9dabb4, 0x8fe9a19f, 0xa4bb0e4f, 0x75306059, 0xab149903, 0xa938965f, 0x12db92e0, 0xf3527a73,
+    0x1b900dfc, 0xcfbad893, 0x4c8708ae, 0x918938b9, 0xeca1869c, 0x9aef527a, 0x8d8992a2, 0x31267680,
+    0x7b4c5e82, 0x3a6e1e3c, 0xaaf01637, 0x74c0bf1a, 0xc78ac86b, 0xb33f6026, 0xb1fbf91a, 0x2af096d1,
+    0x54dfaff8, 0xc6b40343, 0x9e61c67d, 0x44fa5e5c, 0xfcb50090, 0x4299529b, 0x435e5c24, 0x92e66d3b,
+    0x231c88bd, 0x8f30007a, 0xe1eae0b7, 0x43a3cd89, 0x6d5f320b, 0x52c8cbcb, 0x63d6b67d, 0xcc3068ba,
+    0x7d99ae0b, 0x7804bd17, 0x2107bf66, 0x8f2734e3, 0xf97b02e1, 0x8d432e44, 0x8c005f5a, 0x5c09c713,
+    0x7e7cdfe6, 0x62bf5e17, 0x9643dd02, 0xbdac7f6c, 0xa8ae2525, 0xed67e69c, 0x7792ee03, 0x1ab3758b,
+    0x01663d76, 0x5abbce6c, 0x632fb25f, 0x7507b31d, 0xbccdfdeb, 0xf13d6ad4, 0xce28b94d, 0x7dbba309,
+    0x4ab864e6, 0x43dd99fd, 0xa7a782cd, 0xc9acbd53, 0xd19e60ad, 0xd56a5feb, 0xd7a9e620, 0xe6df024f,
+    0xf16b3652, 0x6397455e, 0x4945c286, 0x81105826, 0x483535b0, 0x1fc09e87, 0xd06f060d, 0x36b690fc,
+    0xbfa4796a, 0xeaf67a26, 0x55f8caf4, 0x15f0bff9, 0xab3f4706, 0x0786ab83, 0xd7d75a83, 0x7c00386a,
+    0x2583f06c, 0x403d23f5, 0x69dfe384, 0xaf810950, 0x3890b6c6, 0xcb041725, 0x6c5f5db3, 0xc0010f04,
+    0x5c1c28b2, 0xc6973bb3, 0xf23712c8, 0xb2f5e1e2, 0x5629dfe7, 0xc749758b, 0x0b758f6f, 0xed232e20,
+    0x87949b48, 0xb0b0801b, 0x6c34bd5a, 0xddd2503d, 0x7bfc8909, 0x26656257, 0xac9074f4, 0xf2a99671,
+    0x5b61b290, 0xa9109f08, 0x798212eb, 0xa4960075, 0xcd51bf44, 0xda42c315, 0x220dcaa9, 0x39557cb4,
+    0xc838a27d, 0xc000ed5e, 0x3555d884, 0x2242177a, 0x0d2d8dac, 0x3bf5d9d3, 0x157659da, 0xa72d52ce,
+    0x5fff007c, 0x82ee1130, 0x237c307e, 0x2b312a94, 0xb7258f5d, 0x0198cc1f, 0x8a9497e1, 0x7a356e57,
+    0xfbb926b3, 0xc076b465, 0xd2afd0da, 0xff2d39e2, 0x4d2865f7, 0x8b6d24d2, 0xa3de2d59, 0x406db6bc,
+    0xb8c30316, 0x30a8129c, 0x3d9cdd5d, 0x213443a2, 0xee4e7ffb, 0xd52fa1d3, 0xf5a0304d, 0x38a81c73,
+    0xeb4f9e59, 0xd0d535ff, 0x0a07d466, 0x7b025fdf, 0xe810cd36, 0x491e358f, 0xdcaeaac7, 0x584eed4c,
+    0xc110b5f2, 0xab46cc3d, 0x514358c4, 0xc8ccf1a9, 0xb58b83f2, 0xc2d66bb8, 0x4735690b, 0x1bd9297b,
+    0x94ed8e2d, 0x28d692eb, 0x27c5308d, 0xe58a7a4e, 0x9be9daca, 0x1b7509be, 0x33b2e906, 0xed353f49,
+    0xe8b6769c, 0xaa0cb6fb, 0xaf5d060e, 0x5cba8686, 0x5e4faa1d, 0xf085b7cb, 0x394449bd, 0xd53742e7,
+    0x4a6e1708, 0x3d588cc9, 0x625b8484, 0x568e9818, 0x262df916, 0x468ac1f4, 0x826a4909, 0x40a43e59,
+    0x51d55d21, 0x9d56c42b, 0xb43cf944, 0x4ef111df, 0x5a8d7510, 0xe5582220, 0xa553b6b2, 0x602d06da,
+    0x891bcb4c, 0xb2a3f422, 0x56142ce3, 0x2fadba75, 0xf24ed1e6, 0x0b3bb971, 0xe3246b6a, 0x30b1b9e4,
+    0xf0c29342, 0xa4b6ee0a, 0x34135ca9, 0xa28a12db, 0xc044cb76, 0x82185d74, 0x38fc851c, 0xb254b80c,
+    0x4b9eeff8, 0x2f82131d, 0x4ba39c11, 0x6e8e3737, 0xed489792, 0xf0beb08b, 0x8b437b29, 0x770e5f45,
+    0xd0f1bc1c, 0x559bdff0, 0x21ba24d7, 0x3748c6e9, 0x39f97c94, 0xd1915590, 0xfc37c470, 0xaa2b4a5a,
+    0xfb5f16e7, 0xa1d82b8d, 0xcc997381, 0xeb82b595, 0x71b09016, 0x54898876, 0x9676b6c1, 0x2c4c270c,
+    0xfb756036, 0xf0ec4afa, 0x779776ec, 0x9709056c, 0x96091433, 0xfb73bf2c, 0x3bc1eee9, 0x8aca39ed,
+    0x3b7e6ba6, 0x512ba8eb, 0x9627d63a, 0x0742a990, 0x380de471, 0x3a358ec3, 0x6dffd644, 0x7e4fe7bd,
+    0xfdfe9bf0, 0x10065640, 0x4bfb52a2, 0x2ae57720, 0x45ada7db, 0xecc69c44, 0x3a1de3d5, 0x1f16727c,
+    0xfb9aa244, 0x0ae5eaa2, 0x223b46e7, 0x32cb4781, 0xd0e6540d, 0x6f9963fe, 0x1084e120, 0xc162868e,
+    0x123dd8fc, 0xcc8d8ecd, 0xba422e2d, 0x6294a614, 0x99cdc9c9, 0x500e7547, 0x78e80b6e, 0x7702d1c4,
+    0x5d5d2572, 0x58551963, 0xeb05f8da, 0x1ef427eb, 0xc073543c, 0x0161702f, 0x656944f0, 0x0ab5965e,
+    0xc7e285c8, 0x762c0921, 0x2e1eb486, 0x0f1604a9, 0x7c826177, 0x8d38f562, 0x9044a5b9, 0xde259e34,
+    0x8b5799e5, 0x79b31889, 0xb937a84f, 0x5d583a0d, 0x7917e8ed, 0x7a971a95, 0x77b82b81, 0x990f65d0,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000027606985387162255149739023449108101809804435888681546220650096895197184 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b72, 0x4a9bfbe7,
+    0x00000000,
+    0xd982a1ab, 0x680e8d31, 0x5a2edb40, 0xee082cf9, 0xc4ecbe6b, 0x2e10cc4f, 0x4e8a7f51, 0xbfc2a64e,
+    0x02115bf6, 0x83750542, 0x7f94d0da, 0x086afadf, 0xaef7d1bf, 0x49f9f624, 0x270b3f66, 0xc28982b2,
+    0xa630b4d6, 0xf7fe19a5, 0xf6051fb4, 0x3f21243c, 0x2de5ee0c, 0x4f157c45, 0xacf078e1, 0x3615139d,
+    0xb42c4d5d, 0xcf25f534, 0xf7e2fcec, 0x73389342, 0xfd4ff732, 0xba4e9e6a, 0xc79f5061, 0xe26646f6,
+    0xdc1e2399, 0x716cdcea, 0x13f3fdc6, 0xe093ca32, 0x5b64ce61, 0x0bf019d7, 0xa2efb69f, 0xd01349c8,
+    0x5888f443, 0xbee474bb, 0xff9010d9, 0x56385d2e, 0x675e47a4, 0xbf0b9f8e, 0x7179f1ce, 0x8b5fa9cc,
+    0x870b4949, 0x4bc09790, 0x11c1a350, 0x8d84ba0f, 0x3726d1d1, 0x94b8e90f, 0xc2f34c09, 0x39c17c0d,
+    0x6add1477, 0x99fc54d6, 0x5c70c577, 0xd605431f, 0x4a63c988, 0x036c40f7, 0x2b275761, 0xa0bd1a7d,
+    0xbbc2f756, 0xb0027d11, 0xf89f5f30, 0xdc4b341f, 0xca5b6319, 0xcc3e6550, 0xb41ae547, 0xd5838b1a,
+    0x39241e8d, 0x74f1f9d7, 0x194040a3, 0x7ab537d2, 0x27f270fb, 0xf5800c21, 0x1a0e83c2, 0xa29c0d4c,
+    0x963b0d68, 0x16206a6f, 0xddc2e92b, 0x02bb27de, 0xc21fb87b, 0xcf041396, 0xb4e4b4ed, 0x1581c7cf,
+    0x246e6bb8, 0x7b74e320, 0xa58fa6e7, 0x6f9ee125, 0x2c2f455f, 0x8229e2d3, 0xa4bb9ead, 0xcad797ba,
+    0xd57d68fe, 0xdc092b52, 0x7e57cb69, 0x2b763f76, 0xb5f3e22b, 0xbb8f0a22, 0x16004e67, 0x5586b882,
+    0x7b74470e, 0xa78cbbb3, 0xfe208d2e, 0x316c01a2, 0x26ccba67, 0xf29e15ec, 0xe3d055e1, 0x6e3fd688,
+    0x9e1fac4f, 0x15af9837, 0xf21974e5, 0x4afaf47b, 0x20fb4499, 0x6d01d156, 0x80db2016, 0x7b227701,
+    0xcc25406d, 0x371dee99, 0x6d68aa7c, 0xe1336763, 0xa94c50ee, 0x7b5ec551, 0x92851e24, 0xd36abcef,
+    0xc3dca193, 0x5c9e3154, 0x835502db, 0xeca4155f, 0x9fd92f85, 0x20824e8c, 0x4bec7833, 0x2dca6134,
+    0x93613466, 0x0b2bfc2c, 0x786b5bd9, 0xc6adeddc, 0xe5e9a319, 0x1cc9c177, 0xee5ba18a, 0x872ef65d,
+    0xc4c1959c, 0xb516a5a4, 0x87651ebb, 0xdfa0aab5, 0xb4a04b94, 0xd3183fce, 0xd58e307a, 0x58e9a17a,
+    0xfa4f1cb8, 0x00aa68ec, 0x1d70a2fc, 0xcde1da68, 0x142bb5ca, 0x17389fae, 0x7e1c63d0, 0x3ed42bd8,
+    0x112ab5cf, 0xaaf572e4, 0xfc46ded8, 0x048ed3ce, 0x42b0aad5, 0x0ed07e25, 0x9a860cf1, 0x952b4ef4,
+    0x5d6895a8, 0x9041b18a, 0x8d3bdbbd, 0xec551aee, 0xc9f6b485, 0xed679b33, 0xf3932feb, 0xf59ea145,
+    0x4e49d779, 0x6525c763, 0x95bc8db2, 0x2b9515d2, 0xe3d5cda8, 0x8acdbdb4, 0xc2baed25, 0x3af7bdf5,
+    0x2ba52086, 0x982514c8, 0x597fb35d, 0x58383ce2, 0xcf12b999, 0x79785477, 0xf14fa629, 0xba7b7366,
+    0xd05f532e, 0xb8e33ebc, 0xb93b3e52, 0x70b1f35a, 0x0f68621c, 0xb744b5d4, 0x4bc62227, 0xc9535a6b,
+    0x4cc5e0c0, 0xc6b42e39, 0xd49a40d8, 0x2258dfc5, 0x1c474ec4, 0x6d3f31b2, 0xf66717b7, 0x7bd83319,
+    0x2425cae9, 0x771f014a, 0x170a2969, 0xd0873764, 0x48296c42, 0xa80e0479, 0x36f2b696, 0x38e88418,
+    0x22e60819, 0x8632a278, 0xb064c684, 0x1c093c2e, 0x48bcf594, 0x1a2165f8, 0x569f53c1, 0x872b8bc9,
+    0xe42ca18a, 0x965647c5, 0xd908647b, 0x0eea2461, 0xa3edd163, 0x33323369, 0xd4ef4d8e, 0xc9fc7ee6,
+    0xf4c39d0d, 0xf88b7276, 0xf5750bd9, 0x7e0ccd33, 0x573a8313, 0xbee43a82, 0xb720ceef, 0xb1a840fc,
+    0xd78f5315, 0xb70ac1d7, 0xb4657d05, 0x6462a926, 0xa35cfb87, 0x1765d3b1, 0x332d88bf, 0xdf473b41,
+    0xd00d5440, 0x849cef27, 0x283434fb, 0x237fc8ab, 0x46dac0c2, 0x37914960, 0x87f7fcbb, 0xf29b5836,
+    0x4ec0e8ce, 0x1cbfd86a, 0x449ed87b, 0x87bbe33b, 0xab35e7e5, 0xe5a02aee, 0xf58f7bc9, 0x7fdc9dbb,
+    0x79c8a9a2, 0xd9e600fb, 0xc9169ee9, 0x212ec8ea, 0x46e3764f, 0xe2b619eb, 0x46dbf2ec, 0x73b13fdc,
+    0x8ed48e36, 0x07a32d55, 0x7c2954e3, 0xa9e98f47, 0xfcbf4ee9, 0x13b9f9ed, 0xd1218963, 0xcdbe5860,
+    0xa3d2ade6, 0x5d13d762, 0x8f95acc1, 0x37619b13, 0xf8c7a2ba, 0x8e776ecf, 0x626fdf02, 0x235ad54a,
+    0x147e5e97, 0xcbf107bb, 0x4af4cb08, 0x478ff53e, 0x53e6cb9d, 0x32fcbdac, 0xc7c49648, 0xc5e795d9,
+    0xa5711ca8, 0xfbca8cfc, 0x13d17dc6, 0x91ccd710, 0xc15d99c6, 0x0e5170f9, 0xbbf11bf6, 0xe0230c34,
+    0xec5d81e4, 0x869abd4d, 0xfaa7964b, 0x23c46e64, 0x432c5885, 0x126272e2, 0x2e7052f9, 0x49d9fffa,
+    0xf1c56843, 0x36f0f29e, 0xe39ebf46, 0xdc65c8be, 0x957b1f4a, 0x5719215e, 0x64b7fd8f, 0x87936937,
+    0x29d8d574, 0x054d2648, 0x68e289c4, 0x3f96d4ad, 0xb7507fa9, 0x00f1ed42, 0xbcea2020, 0x90b73550,
+    0xf5ffe5c1, 0x4b57bc0b, 0x558bd435, 0x385bc5af, 0xf96dc24c, 0xf16dd2ee, 0xd2d0aef3, 0x64d73575,
+    0x28d11d23, 0x90ed7689, 0x952bb1e3, 0x618cc4d8, 0xbf175ea9, 0xb648fdd9, 0x99c73b07, 0xd27d8728,
+    0xf15dd6c5, 0x50925e04, 0x32d1a749, 0x3c02ecff, 0xa76a3d2c, 0x5bfa285b, 0xdd447614, 0xe3f8060f,
+    0x2fe41f89, 0x69035765, 0xaac87714, 0x97628a78, 0x489e2be7, 0x72db8dc2, 0x688b18d6, 0x23a4fe06,
+    0x82f9b0be, 0x3029c672, 0x0dd1d2dc, 0x9650b26c, 0x83a5027c, 0xff332e26, 0x0ee690d1, 0x097bee94,
+    0x3371397f, 0x4246ea19, 0x39c44886, 0x4d85b455, 0x0929e8e4, 0xf1be02b0, 0x5658d148, 0xc291f707,
+    0x7df848d9, 0xc8acd6ef, 0x35e39311, 0xdc4539f4, 0x4a792b9f, 0x698831e1, 0x65c049fd, 0xbddf8cb1,
+    0x4a413a86, 0xcc2de648, 0x61a125e5, 0x9d8d9150, 0x18c7c761, 0x48ad193d, 0xc0a014ab, 0x53bd7066,
+    0x409597b6, 0xc1ebc64f, 0xd32d16a2, 0xf0ca74c4, 0x8441ab9f, 0x1904709c, 0xbf33156a, 0x66004acd,
+    0x3b6aa538, 0xcb804e98, 0xd708f4b5, 0x44938f1f, 0xa733a6fb, 0x66550fc5, 0x31c95f32, 0xbea779d0,
+    0xa43a4259, 0xdb77a361, 0x85494571, 0x4273757d, 0x8ce3b658, 0x78a01f4a, 0x6399e0d6, 0xfd747af9,
+    0x13b6fd9b, 0xc2f08581, 0x9a5908a5, 0x775d7a8c, 0x9ab23192, 0xa044ac35, 0x721fc117, 0x3a32e294,
+    0xa11321c2, 0xf0fc017c, 0x4f6b4b87, 0x39ab6d2f, 0x8766b4ad, 0x31ee905a, 0x73d03563, 0xe6b66ae0,
+    0x22137c20, 0xafe7e774, 0xa2e41cbb, 0xc65a5502, 0xc752d4b1, 0x7641880b, 0x25d720f9, 0xb3c25509,
+    0x3799757c, 0xe2c49894, 0x7b8d020d, 0x329dca16, 0x4395379a, 0x6fcdbb67, 0x1e2696dc, 0x1ac016b6,
+    0x50ba86bc, 0xf8b146ff, 0xbfbec71c, 0x69ea8910, 0x49c05681, 0x0951789d, 0xf8a5921a, 0xd0973658,
+    0xd1347959, 0x3bce15fe, 0xcb5e5e06, 0x1dd1d79e, 0xda6afb66, 0xf946e0f6, 0xde64c41c, 0x5359468a,
+    0x2488e11c, 0xe2dbb162, 0xc9cb5512, 0xa52a1026, 0x39be545a, 0x51df4707, 0xc8db56e4, 0xc3207923,
+    0x2c15e765, 0x16a7f641, 0x4076f6ab, 0x8993c104, 0x123a046e, 0x6f759165, 0x9cce652f, 0x79eea33a,
+    0x855bff2c, 0xbc91dd9c, 0x21d6f689, 0x31399b38, 0xaa7cb769, 0x4fa4dd7f, 0x0f1de783, 0xb8078c3c,
+    0x1d830782, 0x5a23ace6, 0xe67d2b2e, 0x5ead56fd, 0x89941ed9, 0xd1e7e601, 0xddc01e3a, 0x6bea3958,
+    0x5621fd34, 0xc6e3692b, 0x4a105a35, 0xdfbcef06, 0x879ef6d7, 0x47f11450, 0x67b51279, 0x848ca865,
+    0x19c7cfaa, 0xb179512a, 0xe54b48b6, 0x78e53e0d, 0x049329db, 0x0a809a04, 0xcd862006, 0xf0c0b122,
+    0x344e926c, 0x1bc78bbf, 0x0996b475, 0xfcc425af, 0xbfeb2c08, 0xd3b55e59, 0xa9cdf0a6, 0xb55910fc,
+    0x52434109, 0x43d6d45a, 0x3904bc0a, 0x995eedf9, 0xc4290e4d, 0x529ab9ed, 0xbd0bd8f5, 0x4b178db5,
+    0xe12a8c77, 0xc21a825f, 0x499ead68, 0x24dfbde7, 0xf273cf86, 0xc5ab5a3b, 0xd857deae, 0x45cdd026,
+    0x9e292f98, 0x1b663b39, 0x8df4d0a8, 0x5e6deca5, 0x93eee2f7, 0xdcd65a28, 0x6bf87652, 0xdfb42936,
+    0x1e67f669, 0x222053d5, 0x7f6f150b, 0x2d89f50e, 0x625b59cf, 0x440572f3, 0x0b67d0cc, 0xbd3945b9,
+    0x005a06bf, 0xac7edb92, 0x27a38fb1, 0xc277c252, 0x104640ba, 0x3ed466f9, 0xda44858e, 0x5db70565,
+    0x28bda984, 0x6240738f, 0xb828c0b1, 0x5707c6d8, 0xe018f85e, 0x4b0ed8f9, 0x946b5044, 0x379b5dbb,
+    0xdeaf0313, 0x5ca0e205, 0x89f572a5, 0x4cff3dfe, 0xe12172b6, 0xd23aa58a, 0xba60f01e, 0xedbf3998,
+    0x28f6ff8f, 0x70a0f0e4, 0xbc1c3e3e, 0xe0dcedd7, 0xee22b6d0, 0x42cacfe1, 0x2fe153f2, 0xda9826b1,
+    0xdbebf28c, 0x824c24b1, 0xf82dd8b3, 0xf1c496b5, 0xc913b823, 0xa23a989b, 0x68b32249, 0x63097a47,
+    0xdb8a1f79, 0x306e6237, 0x7e9ccf4c, 0x24a550b4, 0x834eccc9, 0x853251a2, 0x48849313, 0xe3e91b12,
+    0xc5d87740, 0x4c2ce008, 0x6ce05edc, 0x853b0a61, 0x958872e0, 0x5e997afb, 0xb5bae36e, 0xea8b4527,
+    0x7b1c65b2, 0xaf0d4558, 0x5cf9a080, 0x65d53f3c, 0xcfe7021f, 0x50d061a9, 0xda760e3d, 0x3cf4efe4,
+    0xe092ec27, 0x97606a75, 0xaf96295f, 0xa747cb8e, 0x26d734dd, 0xe0c8f14a, 0xd4ebac83, 0x2447299d,
+    0x59c3bac0, 0x4aef1309, 0x57e33090, 0x4ce9562a, 0x286a31ac, 0xe25ffbb4, 0x20a3a738, 0x462d38c5,
+    0x0ef5a5b7, 0xab8caee0, 0x0e4a4f0c, 0x0897c15b, 0xe3f83238, 0x8a682920, 0x357c2b77, 0xd62b36ab,
+    0x4fc992cf, 0xe85319ff, 0x3637813b, 0xca0c6e8e, 0xf599eda0, 0x9bb7c289, 0xe9a2f337, 0x57e7a777,
+    0x5732bcee, 0x808d0179, 0xc16cff6f, 0x826f7f1b, 0x187cb789, 0xdb67fa02, 0x76647394, 0xe30fcc8b,
+    0x0bd3639e, 0x9635e0f2, 0xa14feeb0, 0x5e4d11b7, 0x56590102, 0x9a0f4aa1, 0x85a75cd2, 0xc69ecf81,
+    0x9cc6830a, 0xf6cfa6f4, 0x35c22215, 0x506de900, 0x2b8fdd26, 0xe225d750, 0x5ffce81d, 0x0c3ff0f8,
+    0xfbf9894c, 0x8bdd55e2, 0x16732f7e, 0x5ae73e90, 0x0a4ac335, 0x14cc27b3, 0x1209cdb0, 0x482c2260,
+    0xb1a6f547, 0x9282ff3f, 0x377f49b9, 0x7b903be4, 0xa78716a8, 0x3f1a54c7, 0x304315d8, 0x282c1cf1,
+    0x54070b27, 0x4cbcf2c6, 0xeaec041e, 0xe6d2fce0, 0x6ef44ebd, 0x0f5c1298, 0xe1cf15b7, 0x9a8c8938,
+    0xdf8c014f, 0x2ff5f0b4, 0xa7fa79cb, 0x67887071, 0x067567f4, 0xe582b1ee, 0xa293fb5f, 0x0caf6a6d,
+    0x97dc3489, 0x3999a34f, 0xfa7085da, 0x85868df8, 0x2fd0d397, 0x194216ef, 0x21fbcc0d, 0xc4c48382,
+    0x37cbaef4, 0xf2428df5, 0xff2f329f, 0x51dc3abc, 0x09d46ba0, 0xd7d7bd67, 0x6dffe9b8, 0x2e8df53b,
+    0x5eeaf8ca, 0xdd6904ed, 0x05c19523, 0x2dff70b3, 0xbbcb415f, 0x04765695, 0xd1be0bb2, 0x3babed0f,
+    0x4a94545f, 0x15b7dd8f, 0xbec99954, 0x3f5bdc45, 0xc325d4ed, 0x0ae7f4ed, 0x3e4354fb, 0xeeadf62d,
+    0x56f1e5be, 0xf512bfe6, 0xe2f26cee, 0xea542f67, 0x9b9c920e, 0xed998b0e, 0xd1ca0648, 0x1b1da03e,
+    0x2f962be7, 0xf60c0e8c, 0xe3cca9f8, 0xe9a5d1f6, 0x8ecc7218, 0x4453fae5, 0xb3008e3a, 0x0981ec2c,
+    0xb937c928, 0xf3a96e27, 0x650f53da, 0xa1db4a10, 0xe92771dd, 0xe3710de5, 0xbb6bbdfb, 0xe27ba231,
+    0xa689f11a, 0xcc4df893, 0x85a07930, 0x0035418c, 0x15baf2bb, 0xa071bfb1, 0x1a136786, 0xc97fede9,
+    0x4f006879, 0xe8687bac, 0x85b5eaa6, 0xc51efb18, 0x83b7db0b, 0xa0e8019d, 0xedb55ad1, 0x643b7b85,
+    0x6905a95c, 0x69257c7f, 0xccc7594c, 0xd6018bf0, 0x8153d53b, 0xdfc43aee, 0x34d83cf0, 0x03258e76,
+    0x17dffd8d, 0x77c6e59d, 0xbd6df53b, 0x24993869, 0xe857e192, 0xca6af0a4, 0xc885a489, 0xe5ce6897,
+    0xf31dff42, 0x15c469c9, 0x3a683c4b, 0x69b39b0c, 0xcbfb9039, 0x2061965c, 0x7a833f75, 0x2c27746a,
+    0xf5464e32, 0x490bd4db, 0xd7961c18, 0xecc206e3, 0x0234a509, 0xb206a0a5, 0xf27ac47e, 0x231eef21,
+    0x8bcd26a0, 0xbf22270b, 0x2ccbfb59, 0xd2ad7d90, 0x7893d972, 0xd1d00f87, 0x5a784f6f, 0x646fa4ab,
+    0x62bbcff2, 0x0375282b, 0x79a591c0, 0x18fe220d, 0x5d9dd710, 0x8cb08340, 0xeb222ed3, 0x8cef9a16,
+    0xad460bcc, 0xe572a19f, 0x1527e60f, 0xdb577af6, 0xe37e6c35, 0x05fc1aa7, 0x7f5f7dc6, 0x9550f993,
+    0x08f67cab, 0xe401aab6, 0x3be29657, 0x260a1349, 0x0a9f528c, 0xc990172b, 0x88194edf, 0x0d22cee5,
+    0xf6c0913e, 0x937699cc, 0x9653e9cf, 0xbf4bceeb, 0x5779bea8, 0xc33fa2e1, 0xef875bce, 0xdf23e644,
+    0x185e7b73, 0x1374c3ff, 0xa1ccbf12, 0xfa3c9144, 0x65162ee1, 0xdcb0aeee, 0x4593fae1, 0x32802de0,
+    0x96465c00, 0x9f517e09, 0x0641251e, 0x875c105f, 0x13402e96, 0x5019db5d, 0x8cf32666, 0x1de1ea66,
+    0x646909a9, 0xfe893cd4, 0xbb3aefd5, 0x3a0b7862, 0x8846dac4, 0x7d2d4a41, 0x8943d4fd, 0x824695f1,
+    0x77805302, 0xe4337780, 0xf0561f41, 0xa4c13185, 0x9a92d0bf, 0xe415765f, 0xdb298d4e, 0xff06db9d,
+    0xb3af2a57, 0xcb892514, 0x5886633e, 0xc039756b, 0x2f913e7a, 0xad8de8bb, 0x34c96357, 0xfda6b366,
+    0x82b482e5, 0x9ad045b9, 0x88944408, 0x6ee3a886, 0x0086db87, 0x7bb77783, 0x2670941c, 0xea34dcfd,
+    0x3ba675ea, 0x443678a9, 0x353310f7, 0x0412fe28, 0x3677a7be, 0xbf639acd, 0x275c4354, 0xb521e113,
+    0x3e4e51e0, 0x7ef5ed5d, 0xe18e5319, 0xcb3c535a, 0xe4013284, 0x83b37212, 0x13083df9, 0xea660ca6,
+    0xc58fc4cb, 0x6ba9b9aa, 0x315a1ca8, 0xaefbf6b9, 0x3d632d7b, 0x28d3c388, 0x8bbad8d9, 0x6634e3a8,
+    0x8115e1c3, 0x6d4b1695, 0x11b8d58c, 0xc01009d2, 0x53bf9db1, 0x12289f93, 0xd17c30db, 0x201184ba,
+    0xf2888986, 0xe1b44200, 0xca6f967d, 0x2ac658b7, 0x8d0a2c72, 0x69f975a3, 0x3e1033f6, 0xb20ef29b,
+    0xb89d0707, 0xac116f25, 0x1bf6399b, 0xecfd75e6, 0xeeef05a4, 0xa0de7372, 0x50cc7cc6, 0x99186373,
+    0xaa0125ba, 0x5c9d364a, 0xfe0f0227, 0x74693579, 0x89523877, 0xbdb94a8e, 0xae73a09e, 0xe9066e43,
+    0xf5a05d61, 0xde605062, 0xb7851852, 0xc6812cc8, 0xad366a7c, 0xbd94f96a, 0x74fe44f9, 0x1217f419,
+    0xbf9a4430, 0x86fce790, 0x2d7a061f, 0xc116535e, 0xa81b9e36, 0x82423e51, 0x10cdd713, 0x2c322969,
+    0xc32a59b4, 0x83b3423a, 0x93910872, 0xedbb4683, 0x3dcc2c4b, 0x3ab865f1, 0xb6e1fccf, 0xb0c7607d,
+    0x2e0aae6d, 0xf234ca6f, 0x071df878, 0xe01f7c98, 0xb5a36b65, 0xaf0d9978, 0x00d55c18, 0xdae51014,
+    0xfe5a4b12, 0xa9fc9064, 0x4dfad58a, 0xef5cac74, 0xc79282ec, 0x869eea31, 0x0c0e8905, 0x5144c66f,
+    0xf10dd858, 0xdc076733, 0x129d5535, 0x7681f1e8, 0x37c0663f, 0xf8bab816, 0x8e946d7d, 0xcd19a1ac,
+    0xa4a526e3, 0x96460062, 0xc4464c22, 0xa99d16bd, 0xdb8eaf5d, 0x873c1d7b, 0x0ce924d9, 0x83edd93e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000013803492693581127574869511724554050904902217944340773110325048447598592 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b9, 0x254dfdf3,
+    0x00000000,
+    0xa6db6f9b, 0x6b88981f, 0x463c7f74, 0x3f3aea70, 0x43edd177, 0x78174a6a, 0xa753f79e, 0x69cb66f4,
+    0xca9b0275, 0x9cb4cc6c, 0x4e15cb4b, 0xe0c483b2, 0xbd361ec6, 0x3c37cb18, 0x37d14bbd, 0x96436521,
+    0x766706d0, 0x94aeb7e0, 0x83bf7cee, 0x655ba43d, 0xb80f0dda, 0x23117d05, 0x66ce4333, 0xf64b2f13,
+    0xf141a3a7, 0x69b34d59, 0x619f09ca, 0xd10da24f, 0x20088653, 0x28b94af4, 0xe1c4b420, 0x344eac7f,
+    0x0666bdab, 0xe82a088b, 0x5c1b4612, 0x6e0d1ef2, 0x1195f9a7, 0x36ab2c4c, 0x1480f8f3, 0xd1af8d31,
+    0x169d793a, 0xe1ffa415, 0x3e5a90e9, 0xd6e9dcd1, 0xed787b1d, 0x11fef881, 0x9aa90912, 0x106932a7,
+    0xd64c0184, 0x63f6bf88, 0x3468a6f0, 0x26b4d0d4, 0x845169be, 0x29fa39d4, 0x343e5423, 0x67de7777,
+    0x5eb378cc, 0x32255db8, 0x94b85142, 0x6b81c122, 0x0e0d4f01, 0x025e99fc, 0x4618593b, 0x76163386,
+    0x20ee8498, 0xc358ad01, 0xb88b740d, 0x78132ec6, 0xde0e9519, 0x09c231c1, 0xaf8ccfcd, 0x6cf2be3f,
+    0xfcec0a58, 0x45bc50aa, 0x4e1c01a5, 0x1fce5571, 0xc493e502, 0x2a7b3bd8, 0xf486e8c7, 0x7dbc573c,
+    0x91c0acc3, 0xe6c01e52, 0x7e2ce866, 0xb9d6efe0, 0x69a70b6d, 0x7f4f271e, 0xc099cf9e, 0x83ea8dcf,
+    0x0ed3067c, 0xc1fbd87e, 0xa7a679b0, 0x26ffb984, 0xc8fca999, 0x2480939c, 0x4a96979d, 0x84fa0bcd,
+    0x0d745051, 0xc84adc9e, 0x57c00d03, 0x87289779, 0x438847e1, 0x97774212, 0xd83e4dba, 0xad7bec7b,
+    0x42216997, 0x237c05b2, 0xdda30c61, 0x1febb207, 0xa0daa6f2, 0xf63184f5, 0xdb42dfc7, 0xb473fb11,
+    0xb9840d7b, 0x2f4beefe, 0xa5a25991, 0x1e123f03, 0xc2d174bc, 0xfcb5b70a, 0xc4a8effe, 0x3d0eef30,
+    0x28bdb038, 0x0bac1f44, 0x40c020a2, 0x2d261712, 0x0fb1203c, 0xe50fce18, 0x9fdfea3b, 0xe7fada13,
+    0xa42d5139, 0x8dee29b9, 0xaa4e7cd6, 0xb808c580, 0x87d4e963, 0x27d80b7a, 0xe9332c57, 0x810c74f1,
+    0xbfd12efa, 0xc003ce68, 0xc561f392, 0xb1e80547, 0xaeaa1a7e, 0x2b9c9eb4, 0xb915d91d, 0xd6248c08,
+    0xb498d281, 0xefdb0371, 0xcb72a04d, 0x1e8bf5ee, 0xc73d18f6, 0x3ed13002, 0x01311286, 0x7823c9ed,
+    0xba03739b, 0x6874f820, 0xb093b243, 0xc8d6a6ea, 0x00040efa, 0xc3dc27e5, 0x373dee75, 0xedf96e4c,
+    0xb305cfa5, 0x65f0218d, 0x49fa629a, 0x96376e9e, 0xcfdeca2d, 0x699077a0, 0x284a43a2, 0x99a9a659,
+    0x5c82d0fb, 0x397770fe, 0x70cc098c, 0x63d6562a, 0x8a052f66, 0x01bf90e6, 0xaf90be92, 0xc622c525,
+    0x90a13428, 0x1616a39a, 0x7f4e4e52, 0xac6c335e, 0x08648567, 0x915562a9, 0x73f48ee4, 0x54edb043,
+    0x7b7ce9b9, 0x9730f6da, 0xa1e445fe, 0xf03eec60, 0x018dd8b7, 0x5d8b8035, 0x79c40929, 0xa8eb3615,
+    0x4205bbff, 0xf9e2a972, 0xa70a3a32, 0x2158c9a6, 0x96d743b5, 0xa9654c0e, 0x0b8254da, 0x9d7f1713,
+    0x7cb53113, 0xc35025c3, 0x6ec345f2, 0x9a03a8bb, 0xe089b422, 0x3555f72c, 0x666ea596, 0x55f3646c,
+    0x3c68eca2, 0x5f118441, 0x191e30be, 0xd303d130, 0x211935e0, 0xb05c5c40, 0x62729419, 0x9f73d4f4,
+    0xbe5e34cf, 0x1d52755c, 0x0a6f4f2a, 0xa9c7d917, 0x95ab4d76, 0x46a2af38, 0x232de90a, 0x5fa8793a,
+    0x775decd5, 0x9b33c2ab, 0x0e7889f9, 0x32ba7075, 0x110047a8, 0x02df1ffb, 0x246cfb3e, 0xed7291a1,
+    0x5b1b2191, 0x5b7ad871, 0x1d0b50f7, 0xbc130549, 0xad4ea36e, 0xb1f66c4a, 0x15f528a5, 0x9dc120a6,
+    0x339973a6, 0xa806e0f0, 0x0a24df5a, 0x42e8fb77, 0xd53452d6, 0x1db469ee, 0xb92c4de2, 0xe48d65ee,
+    0x9359232a, 0xf44c2c2b, 0xad3914fa, 0xb335a58c, 0x91db9cbf, 0xd66063d1, 0xc9172402, 0x2a9a1f0e,
+    0xdaf5165b, 0xfaa03148, 0x233457dd, 0xaa1cede3, 0x71795c3a, 0x05af727b, 0xef510fa9, 0x49bedf13,
+    0xe243f2e7, 0xaf80d0d7, 0x1907a1e9, 0x5d96f919, 0xb0cf2e6a, 0xe4b5f0c1, 0x24f3b68b, 0x514e7554,
+    0xbe7bb3ed, 0x0f7b4403, 0x8b0e1d3b, 0x9bb98ee1, 0xd00c73eb, 0xd036d134, 0xb812c0ba, 0x8bd86c3e,
+    0x127815b0, 0x262d3155, 0xbe2a76b8, 0xc68d9abc, 0xb08646dc, 0x5084c6b9, 0xb1742197, 0x4f2e1ba5,
+    0xe37c057f, 0x5536d199, 0x7e0c3d43, 0xd592c5f9, 0xad40de97, 0x4b2ea384, 0x39e03b8a, 0xd0c58e7e,
+    0xf339aee3, 0x52800a21, 0x8904aa02, 0xe3215797, 0x945d1e86, 0x1c1a7dad, 0x546ceabd, 0x5fe5dead,
+    0x00a45a0c, 0xaf5d692b, 0x2f769f49, 0xc5ff4f35, 0x2bac36b0, 0xb1a13ad6, 0xdacdd730, 0xf00fb2d3,
+    0x298b8cf3, 0x5e43a5e0, 0x048e750a, 0x7780dbe9, 0x6b3c161c, 0xe190c6d6, 0xf11f421e, 0x613694aa,
+    0x569bf18c, 0xbfb7e360, 0x353f3f28, 0xa320d254, 0x7086b3ca, 0xeaa638c4, 0xe93d28f9, 0x6e155927,
+    0xee677e48, 0x5f3b42a9, 0x65258a6f, 0x492bc5a4, 0x77852112, 0xcbccc3fb, 0x42e35d52, 0x69ff101a,
+    0x726c2653, 0xde660b33, 0xcd63bc47, 0x688b283d, 0xf6048bae, 0xc6e28642, 0x737b59f0, 0x3dc4bc3a,
+    0x394b1c57, 0xdc364272, 0x45e189c7, 0x39e30c96, 0x3d8f6c04, 0x954419a8, 0x38847c05, 0xdb6032c3,
+    0xd78df902, 0xcf34e004, 0xc51b7298, 0x5a5064b1, 0xbc6e4615, 0x836fb441, 0x0e8c8397, 0x40f6451d,
+    0x79f23d60, 0x689a2775, 0x8af7e74b, 0x252631ee, 0x1c587442, 0x9bdcb2cc, 0xf1b0cc6d, 0x9ba1645e,
+    0x912b4698, 0x6fe99565, 0x3391f7c3, 0x62d7852f, 0x9391412a, 0x77cd58df, 0x1f90e674, 0x60e4c5a8,
+    0xab1e83fe, 0x28e5ffc2, 0xae66a0a6, 0x655d473b, 0x0a3866d6, 0x997db0e7, 0x44764b58, 0xb37d50fd,
+    0x28415da3, 0x898c9e7e, 0x74a530c8, 0x0b7c1c90, 0x8faffadb, 0x3ad67f75, 0x9dabf40a, 0x884a6421,
+    0x41cc0a89, 0xa0a035cd, 0x3b193fff, 0x946d22c0, 0xc46a48a7, 0x804bb8d9, 0x6b74a043, 0x827ce2b4,
+    0xdcf510ae, 0x9c32a2fb, 0x97d9d473, 0x63b6e74b, 0x3fde39e0, 0x5a210c4d, 0x0c333c89, 0x7ed007d6,
+    0x9becd2a9, 0xd7095bec, 0x513f48c1, 0xb57ebe84, 0x551eb40b, 0x4f4f76a3, 0xdfc296a8, 0x32e97757,
+    0xe139754b, 0x41f04619, 0x530cb42e, 0xf13ebafe, 0xa7a45aa9, 0x62bcea33, 0xbabf3a66, 0x708d647a,
+    0x6cc81502, 0xf6c39b1a, 0x1bb9f5f3, 0x79abe024, 0xe06881e7, 0x16905f75, 0xdb7fb745, 0xc34cff79,
+    0x09cec635, 0x17846f8f, 0xcccb6c3d, 0xe809c086, 0xf01c50af, 0x15ddf124, 0x62299433, 0x8b0e3754,
+    0x790d1d16, 0x8d04c824, 0xdbc6efd8, 0xe38ca5b3, 0x6ffd5d27, 0x61175a97, 0xed5d9345, 0x269109eb,
+    0xe8e617ba, 0x56904c10, 0xf295440d, 0xbd91d255, 0xa2fb03a3, 0x586245e9, 0xe732c833, 0x6aef33f6,
+    0x8a1cd69e, 0x625e8b93, 0x6dabbfe1, 0x289aefc0, 0xfda8416c, 0xcbbfa279, 0x7788e09c, 0x46f481ef,
+    0x57cf3320, 0xc719a2a8, 0xff104a10, 0x441b5294, 0x88f0bcda, 0xf68c919f, 0xad366065, 0x6e8a3ad1,
+    0x61bc5168, 0xd6b94241, 0xc0f758e0, 0xdf9a3263, 0xb09d02ef, 0x32506790, 0x29b57f45, 0xf6ebd5ba,
+    0xde5716d9, 0x71f22b20, 0xe79d6acc, 0x2c07ddc1, 0x4f712bb6, 0xbf99c20d, 0xa885eec6, 0x1a12ec48,
+    0xefd4f8b5, 0x700ba734, 0xab6e45a8, 0x915b089d, 0xd2d8571c, 0xba491aed, 0x94a6b8e9, 0xc5d2a648,
+    0xeaccdc8b, 0x9278c520, 0xd557a0e9, 0xc956e593, 0x0ba033d4, 0x7003cdd9, 0x0c694872, 0xea4aceb0,
+    0xc8b181e0, 0x7a2a5590, 0x8382f12a, 0xc02a25f7, 0x2a3004aa, 0x8c4a6df0, 0xae9fc332, 0x7018d2e5,
+    0x34169b2b, 0x1e1b201d, 0x327fc718, 0x3236cb8b, 0xb894977f, 0x5e7dbeb6, 0x60a68074, 0x902c7a59,
+    0xced122bd, 0xfa6514b7, 0xce5e36c2, 0xcbb93239, 0x79c634d0, 0xbc1011a3, 0x54637b06, 0x1e83a6c3,
+    0x666cded4, 0x87fb0a0b, 0x0f5fa136, 0x37f558aa, 0x9dbbf15f, 0x19622690, 0x8fae9d00, 0xaff3d5be,
+    0x2f42c30a, 0x9a3b00a2, 0x8798d0e9, 0x4c2f23c5, 0xb93dc511, 0x8195183d, 0x992d1621, 0xc152ec02,
+    0xfc5fc36b, 0xeb412e7d, 0x497de64a, 0x0d2a6072, 0xc918c479, 0xa931ace9, 0xf75ee5a0, 0x4e1206ec,
+    0x573c8fe4, 0x4c7b058d, 0x10d14bc7, 0x9a3cee6b, 0x3c65bfb8, 0xefb7faf9, 0xc67c9cb2, 0x65b05e06,
+    0xea36fc2d, 0xb96e0cf5, 0x37f292a9, 0xeab2cb0b, 0x36b4174c, 0x82bdc2ba, 0xd9459e3f, 0xadcc04dd,
+    0xc3235e01, 0x33ab3b06, 0xbecec993, 0xbd1bf6f2, 0x50c10ca7, 0xadba7a6c, 0x7b4285aa, 0xb6b2ddbd,
+    0x34496c88, 0xc69fadd2, 0xbcd5f8b8, 0x8e771191, 0xf804fedd, 0xce8292d6, 0x5e304011, 0xbce0097c,
+    0xccc87789, 0xe83a52e9, 0x5e016733, 0x0b92ce86, 0x4bd87c6b, 0x962404a0, 0x453c697f, 0x81423a6e,
+    0xde42ab3f, 0xd37dd057, 0x0a0a1493, 0x15779628, 0x067dcc1a, 0xb8b89d37, 0xa943137a, 0x22d9b17e,
+    0x818e6a58, 0x5706e996, 0x5c159350, 0x0ae09feb, 0x8023a04b, 0x381a82fd, 0x6b5f556e, 0xb147c0c7,
+    0x0869f265, 0xb0a3697a, 0xdbe858b2, 0xb8c41dce, 0x8d8fc782, 0x03b6919f, 0x24c2321a, 0xb7a9c46f,
+    0x84943764, 0x59eb0712, 0xfc414fc6, 0x79344d7b, 0x573ad815, 0xf6ff23b7, 0xab474081, 0x8ad69c8e,
+    0xfae2bc97, 0xbea78e7d, 0x0a66fc5f, 0xe8e0b116, 0x54f9d1ec, 0xdb81d26b, 0x49d3c7e4, 0x5160f9b0,
+    0x5572ffcd, 0x35dd08b5, 0x3b8ea632, 0xa5df4eb9, 0x1bce8ef9, 0x5ab1e868, 0x390e8a2b, 0x9a2c0d77,
+    0xcf19fe3d, 0x7e32dee6, 0x4623ab41, 0x39c7bd82, 0xf134fe86, 0x053e3c09, 0x04da65ab, 0x19b0f1b1,
+    0xbb2bd575, 0x2eb67817, 0x83cb666f, 0xff7f685d, 0x3cfd028a, 0xa92824be, 0xd6973b70, 0x69bf62ff,
+    0xc3cbdab4, 0x37abcab7, 0x4b8bffbb, 0x067eae04, 0x04361ff0, 0xb71e4748, 0xcdbf372c, 0xa9f1528b,
+    0xa09e9cc4, 0x5b3dc62e, 0x9c403d0a, 0x39ddc49a, 0x31dc1fa2, 0x7ae212a0, 0xeba0c35b, 0x6b47ee04,
+    0xce8e6632, 0xc546e676, 0x67f3a251, 0x98994939, 0xeceb8998, 0xa9d92f44, 0x4411eede, 0xced6b000,
+    0x0d31e0ce, 0xebb833d7, 0x5633c3ee, 0xd15bc39f, 0x6e44db78, 0x3f41948e, 0x1e02cebf, 0x798eab34,
+    0xd3824611, 0x11e18db0, 0x7b7c7b8d, 0x182fadc4, 0x20a7aa38, 0x8d3a0aba, 0x4c51ce3d, 0xd131b102,
+    0xd811a13a, 0xf3dd22ed, 0xbe8ef72d, 0xe53e5d38, 0xe5948c76, 0x64253fd4, 0x0422ef23, 0x4cb5eeed,
+    0x9e83bb6d, 0xdb70ac9e, 0xe08cca97, 0x95f067ec, 0xf8b219e4, 0x1b3ee961, 0xa0dc20f8, 0xa8a5e9e6,
+    0x8ee902d8, 0x740bd107, 0x16dc62e8, 0x1b923aff, 0x905fc8aa, 0x6271f82e, 0x8cd8847e, 0x6b48f1bf,
+    0x096ab3e1, 0x54589d9a, 0x30a2b9e5, 0x2d78ee51, 0xa0baafd0, 0x73248bd2, 0x53b38a4b, 0x4ca7f143,
+    0xe9475d08, 0x531f0bcd, 0xf7f243c9, 0x05efbd16, 0x2c2f3434, 0x14d0bd52, 0x5ce7feea, 0x4d0079ce,
+    0x77309670, 0xa795a68f, 0x8208fc6e, 0x424a72f8, 0xfa399f5e, 0xadc0301b, 0xa60a66dd, 0xc972f8d5,
+    0x43a8324a, 0x8617890f, 0xfbcdb945, 0xc2110b23, 0xfa5be48c, 0x55883fbe, 0x2822c8bc, 0x36954b03,
+    0x684a9812, 0xa46b395f, 0xc9e9cbb1, 0xc134c39d, 0x14f5d79c, 0x8a7afd32, 0xa2c4c521, 0x13875fd4,
+    0x3d438d11, 0x6878f198, 0xc71086fb, 0x0a3200c1, 0x39d0bc58, 0x4ea79474, 0x290b2108, 0xe1fc379b,
+    0x8f37a379, 0xc03d5a6b, 0xc20db328, 0xbe487e94, 0xdcee60ad, 0xaa15d738, 0xcf93b10e, 0x2005790a,
+    0xf8b5b8a6, 0x4f96207e, 0x74e22d59, 0x70d1fc77, 0x126e2088, 0x51b3797c, 0xabc2a9b9, 0x989c4728,
+    0x2b2f4344, 0x68adeb37, 0x66e72bca, 0x3eae0686, 0x31bd9771, 0x5e9cf6a5, 0x0e0c9a9b, 0x171993da,
+    0x26465d9e, 0x400fcbb7, 0x5a691d99, 0xbf708be5, 0x4d6c7c0e, 0xa6cc31cb, 0xfb70c9cd, 0x47f5b97b,
+    0x613490e8, 0xd4e2db5a, 0x7ba0e56a, 0x09474d2a, 0x779a7976, 0x88df1d2f, 0xb69e3078, 0xbdfac98c,
+    0x27facbe4, 0x717e9048, 0x640b21d5, 0x78effbb1, 0xf15e884a, 0x26a549b8, 0x599bbc54, 0xfae04b81,
+    0x491e30da, 0xb7d5f11e, 0x9693fb7a, 0xb079d42c, 0x84f2afdd, 0x21844423, 0xbec9770c, 0xcbe81a32,
+    0xf0f031e9, 0xeb30a255, 0x2f193d23, 0xa0ffa94c, 0x33debd31, 0x43b7525b, 0x9d10cfee, 0x1e92f71c,
+    0xe3970061, 0x6ceecaf1, 0x1d340eab, 0x3507aee0, 0xf37eb414, 0x31c1126a, 0xd098659a, 0xaf7eda18,
+    0x26183eb6, 0x1bc29947, 0xa9d28240, 0xf795b6dd, 0x9df729e4, 0x1c2fef23, 0x5491826c, 0x784075a2,
+    0x10a5a970, 0x255afda1, 0x04c9a6a3, 0x1668559c, 0x1b11ad76, 0x37a332ea, 0x8422238f, 0x82d59481,
+    0x1ebea2f1, 0x0d39432d, 0x7d8e7848, 0xf7e156e4, 0x3e7c49f1, 0xdb60f440, 0x119da6fb, 0x004386bb,
+    0x9b7f5a30, 0x98b33f4f, 0x0c5a8285, 0x8da7ed45, 0xcaf23daa, 0x3a40c094, 0x0bc95488, 0x57a7154c,
+    0xc835fd21, 0xa0c71bbc, 0x900c6329, 0x633fca0f, 0xf76a2c8c, 0x1b1aa28a, 0x33ab8259, 0xe8b6fb60,
+    0xa77e8540, 0xf0423708, 0xd5f20266, 0x5bc2953c, 0x3c0439a8, 0x9d7322ad, 0x6677c647, 0x0a00d986,
+    0xc31b5e1f, 0x2f40e0cb, 0xf8486754, 0x72df1c1f, 0xbf74a795, 0x89420f92, 0xe24dab98, 0x9d63f6fd,
+    0x9c611aac, 0x897bc2ee, 0x1f9ae9b9, 0xffe175d5, 0x08224b80, 0x0858ebbc, 0xd47251e4, 0x6550f62f,
+    0x436f92c4, 0x1dc586c6, 0xbd4e32c8, 0x35c1eef4, 0xc0f9af1a, 0x2ec5c213, 0x20cf4e85, 0x8effc3e3,
+    0xcc6200e8, 0x0df0410e, 0x17e42f87, 0x8e21aa69, 0x496c80bf, 0x851a1774, 0x9aef4461, 0x07268083,
+    0x9a518f77, 0x7e139e4f, 0xdbb3c93a, 0x6e1405f7, 0x644387ae, 0x0823b56a, 0x4d67d43e, 0x8e61aab6,
+    0xed75e670, 0x5fc15341, 0x8d38b8e1, 0x83528ed9, 0x06970b30, 0xac732c16, 0xcc015de4, 0x3f0a06c6,
+    0xc3013c45, 0x6e88dacc, 0xe9414f1e, 0x921ddae0, 0xdfddd5ff, 0x39ffd240, 0x91fa931c, 0x165fd4e0,
+    0xdfe9a6eb, 0x12f19312, 0xeb35c6ba, 0x752640e2, 0xd00dac37, 0x223a6e6a, 0xbee82fcc, 0x829e7c6d,
+    0xfdd19f73, 0x86ca72ab, 0xbd5f76e7, 0xb6260000, 0x92a9cab7, 0x04dac2fb, 0x151cac66, 0xe8c0c279,
+    0xdab80fcd, 0xee52dd59, 0xde55f251, 0xaf7e0ae8, 0xa2bd0a4b, 0x628e80af, 0x685014ba, 0xa2b4d3d9,
+    0xbda84cfb, 0x56ae0a3f, 0x30bdbc36, 0xade18e96, 0x23bd6b57, 0x4432d49e, 0x9d7b21ca, 0x4b2d9237,
+    0xa60fb45a, 0x48373c7b, 0x3a21849d, 0xed8dcc6e, 0x1f5ee847, 0xbeddaf74, 0x01f5831a, 0x458f5885,
+    0x775751d5, 0x4a756818, 0x44188d89, 0x91142880, 0xfd7c30e5, 0x9ef161bf, 0x1ea13e87, 0x9785cd90,
+    0x9c6ef6fc, 0x45e5f8ae, 0x1aad1ef3, 0x0608be26, 0x0d327458, 0x0f84da78, 0x0af67eed, 0xecced227,
+    0x85a75dc9, 0x102969a7, 0x1c20bc8c, 0xa42b24c9, 0x5ef87236, 0xe2d78066, 0x086864a8, 0x8a78438c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000006901746346790563787434755862277025452451108972170386555162524223799296 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562dc, 0x92a6fef9,
+    0x00000000,
+    0x92248e89, 0xea9eb396, 0xe4701c8f, 0x1326208c, 0x5be036d4, 0xea7b711c, 0x4244a59b, 0x8b902b05,
+    0x04ad9fe3, 0x51af96b7, 0x4e45fa5a, 0x226c15d0, 0x7f6abe60, 0xb7bdf1d9, 0xc4080930, 0xb620180f,
+    0x4f05237b, 0x99d9f192, 0x746cac96, 0xfe09b49d, 0x8a4b708a, 0x167ba9ec, 0xa79b34d0, 0x9a21c9b1,
+    0xca98588f, 0x94d716e1, 0x4e6b2a3b, 0x3cf0adb2, 0x72198242, 0xc8942295, 0xc4518a35, 0x0e417ccd,
+    0x578542ef, 0x3511b3d8, 0xf4e3d6da, 0xb605e9fd, 0xf6a438b1, 0x5bace89f, 0x9601e101, 0xfbe05f82,
+    0x2d58f01b, 0x969f88a5, 0x6c1b9690, 0x83e016c8, 0xc03957c6, 0x554706fe, 0x58c3eef8, 0xab5b6c1b,
+    0xe1ff8750, 0xe5bad944, 0xe9b14a7e, 0x388dbcd5, 0x651365a4, 0xe366c714, 0x229b4b55, 0x99f09c77,
+    0x3b957fc5, 0x0d9e29fa, 0x8fc65834, 0x93764833, 0x59c7a535, 0x8c0ff9b9, 0xebb2d16d, 0xf7d914fe,
+    0x221711e4, 0xcea2a652, 0x55fe3949, 0x884d2c8e, 0x8eeaded5, 0x92b053a3, 0x7c83cafb, 0xa16c5a7c,
+    0x2c5a74c3, 0xe15747e7, 0x062e81e3, 0x85c3a9e0, 0x96abfec0, 0xc8f8982d, 0xdf84a57d, 0x68567b20,
+    0xc2775cc9, 0x8dce08ad, 0xfeaaedf4, 0x58480c5d, 0x98985d16, 0xfd323652, 0x9dd31ccd, 0x4a8b319b,
+    0xda949cf8, 0xe2849c9d, 0xc6024b0a, 0xeb6ac445, 0x56b9349f, 0xd4f7c05f, 0x920b51d0, 0x4bedeb92,
+    0x6c3ed2dc, 0x1fb94a32, 0xd8c3218a, 0x81db33de, 0x45d842cd, 0xcfa48869, 0x0df45828, 0x63de99a1,
+    0x4ddeff6f, 0x34028a31, 0xa7217671, 0x2d36f0ee, 0x46d4adf7, 0x3b88f7d7, 0x01eff4ed, 0xd341903a,
+    0x6b6762d0, 0x6d868f12, 0x6c9a321c, 0x36600f6e, 0x8771c9c7, 0x9ce3ca52, 0xb3a7439b, 0x809a4f05,
+    0x4ef0aa0a, 0x1097038e, 0x6ce2f039, 0x531d34f8, 0x2b638d70, 0xbe149741, 0x4c39ce2e, 0x98b53156,
+    0xca3b422f, 0x0488a44b, 0xd49ab196, 0x2c311488, 0xb19767fb, 0xeb52cecb, 0x79efadb9, 0xfc31699c,
+    0xad1ecba7, 0x3fbe01c0, 0x785d326a, 0x8022fd38, 0x995ba8e7, 0x2a1479d9, 0xa1885942, 0x31045aa1,
+    0xed239a14, 0xb0535ffc, 0xad5595fc, 0x9477bdef, 0x67cc35e4, 0x449bbf6c, 0x9eab9e32, 0xfda8d73a,
+    0xc50d9a59, 0x62f931c1, 0xcfec6427, 0x422402d8, 0x3f02b1ca, 0x38cfcd27, 0xc2e43d00, 0x9f887ec1,
+    0x704daa1f, 0xc7a5c5ec, 0x6696fb0f, 0xa335369e, 0xda853a10, 0xbf3f64da, 0xf206e5f5, 0xeee3861f,
+    0xdb2c8efb, 0xfe1fc297, 0x21971b01, 0xc26a006b, 0xef8acef9, 0x6e243ec8, 0x40a1a956, 0xdbd44666,
+    0x3be5d732, 0xf40e5b8e, 0x4eccb725, 0x870e4a8c, 0x894f725b, 0xb1171844, 0xfc1fd03b, 0xb095417c,
+    0x1bfb88c8, 0xf8aaaa81, 0x43b0e6b8, 0xfb86826c, 0x09554560, 0xad9e333c, 0xfacecbbe, 0x7b6a9d0c,
+    0xea9249d1, 0x3f6099f4, 0x35bb1de5, 0xc279ea76, 0xc16bd250, 0x0088aada, 0xfb1780c4, 0x7c1b2e08,
+    0x9b8b3edf, 0x8b2b6b54, 0x24c2b963, 0xed8d1b74, 0x0ff91e69, 0x8c35568e, 0x6634a7a2, 0x74d0ddcc,
+    0xf4331b24, 0xc652bcaf, 0x0f725675, 0x4f6e3a18, 0xa9c91364, 0x5192c972, 0xa8e01a00, 0x78d5374e,
+    0x5c05fe7d, 0x42381688, 0x4dc3de89, 0x2f191b0c, 0x80b6b14d, 0x6bdc81b4, 0x7500db74, 0xc4ba0f7d,
+    0xddf93a24, 0xc1b23ddb, 0xc2c79e5e, 0xbc39e152, 0x71cd436b, 0x1743e18b, 0xa4677832, 0x25e1d966,
+    0xf9bd0f8f, 0x1a7621bc, 0x31a59fbe, 0xb6408afe, 0x50b786ce, 0x75d634ff, 0x098059fd, 0x1e08a257,
+    0x697d3675, 0x1a334a32, 0x00c8926c, 0xb4117b42, 0x1c0facbd, 0xfec8ad9f, 0x14738563, 0xb39b0faa,
+    0xa4890ed3, 0x88a6b595, 0xc100c9fb, 0x331931f2, 0x289e9b63, 0x40011c80, 0x6b5ef184, 0xa98c430d,
+    0xb6e3d53c, 0x6bc9ff64, 0xa1e4803c, 0x74aa6d2b, 0x0b6eee0b, 0xf21e2d1e, 0x8efe7ecd, 0x25cf438d,
+    0xc2d85c29, 0xdab330be, 0x11bb6025, 0x5cd5e132, 0x4cff1923, 0xa1b6621d, 0x73bc39e8, 0xc3095a44,
+    0xd3612fd5, 0xe9952011, 0x676fecb6, 0x6b4c9142, 0x33a0acd4, 0x06bc32a0, 0xea8c9d67, 0xf5b200dc,
+    0x11f69c34, 0x7181b514, 0xb3313fa4, 0xc5a2f310, 0xe539fbc7, 0xe31d33e1, 0xca71d49f, 0x5db52d0c,
+    0x50fc97cf, 0xd68ef555, 0xa750940d, 0xb5fe2ec5, 0xd3b3cfc2, 0x3b8f28a0, 0x7364f6e1, 0x6a01ecb6,
+    0x9a50b8bd, 0x7c46e5c0, 0xed456e26, 0x9bf19a7d, 0x08671b26, 0x2f90c977, 0xe53ae387, 0x7578e6a7,
+    0xdc228435, 0xbf5aca5b, 0x351c24dd, 0x4dc45751, 0xf3593fb1, 0x94b66560, 0x104fdb91, 0xf2299c6c,
+    0x26ef5861, 0xc11c9b5d, 0x6c6ef459, 0x5b4b0548, 0x0b89d849, 0xe81bd155, 0xeea9c89d, 0x32f6a7b7,
+    0x1bfb7232, 0xfd1e7a21, 0x4f62e1cc, 0xb94c5532, 0x7f8738b1, 0xd761327b, 0x478d9c6b, 0x3e65dcbc,
+    0xec0f9715, 0x6ff52986, 0x7415505a, 0x23d38006, 0xa69a6f90, 0xb23bce18, 0xea348cf6, 0xd5ea6534,
+    0x6f8a39be, 0xaa39bee9, 0xdb2d56db, 0xf7848d7d, 0x9be7b395, 0x7198d00b, 0x7fedb87a, 0xca811992,
+    0x2d057b0b, 0xb7ffa6e0, 0x63668043, 0xb698d903, 0xd3fc5a93, 0x33545535, 0xb1a2a0ba, 0x1f94acc8,
+    0x1b4c8e5a, 0xf9985f15, 0x22444cda, 0x8e69f5cf, 0x3a9dd2ec, 0x241534f5, 0x9ff509e8, 0x5a336605,
+    0x54581050, 0xf92e7139, 0x024c08eb, 0x5e650346, 0x3e33e4c9, 0x30920254, 0x48d7343c, 0xe8bea2db,
+    0xb3693696, 0x8398be96, 0xcb11e175, 0x814c18e0, 0x143c17ef, 0x654f70d3, 0x0ed184c6, 0x1da7ad46,
+    0x5104fcbe, 0xcdecac29, 0x4defc530, 0x5a019bb2, 0x80896dab, 0x195eed9a, 0xcfe26651, 0xab4871bc,
+    0x0f09e56a, 0x6eabf69b, 0x9aaa7a13, 0x6f474f33, 0x9a1e5e25, 0x8597163c, 0xe4604e31, 0xda8d53d6,
+    0x4a809f0b, 0x7c213004, 0x38fecebc, 0xfdba92fb, 0x65891778, 0x61147e94, 0x358d704e, 0xa661a13f,
+    0x23eed275, 0x400bdb8d, 0x34e58a1d, 0xb7eeee33, 0x6549b506, 0x83867792, 0x9c155a11, 0x1dd13351,
+    0x2bc7fc76, 0xa701ef56, 0xde276642, 0x0decdada, 0x9e9df47b, 0xbab0b21c, 0x41323a09, 0x79b6b5e3,
+    0xbd4ac041, 0x6326405f, 0xcdb2b37b, 0x637b8177, 0x14c32400, 0xc5b123d6, 0xcd872dc9, 0xa379ab75,
+    0xa0b76e3f, 0x8cb2c306, 0xb2902d20, 0xe6cdb9cd, 0xe0f1e8d2, 0x450a64a6, 0x5cb90242, 0xa5944153,
+    0x4b95fce8, 0xafcd2c48, 0x9e440b80, 0x3ad8cd62, 0x861c62b6, 0x4492d24a, 0x956922b4, 0xb7ed5fa8,
+    0x68dd82fc, 0xa4d1fa7d, 0x1dd0b065, 0xd079d06f, 0x905d480e, 0x599a6e7b, 0xaf6cb77e, 0x85fad212,
+    0x19f638b8, 0xf44862f8, 0xdd10e5d5, 0xbc7b1258, 0x203cf8a9, 0xcd6e8401, 0xf611f5e4, 0xe6662a0d,
+    0xd1b63c89, 0x37fae36b, 0x70c4a60e, 0xcc04da6b, 0x3ff9f03f, 0xe1fd7eac, 0x5b3aa037, 0xcd5ab9f4,
+    0x1935588a, 0x40a1cba9, 0xc3f73ddb, 0xf93d724b, 0xec8e52aa, 0xa8424058, 0x25dadfc8, 0xbb9d3c7e,
+    0x94633fb9, 0x291b2632, 0xcd0bc794, 0x8cb9b9f3, 0x738b1b0e, 0x86d6293f, 0x0057f93d, 0xa6637995,
+    0x404d4ddf, 0x193e0ddb, 0x84c8f026, 0xc5358761, 0xef43499a, 0x03ae7c78, 0x39b0a435, 0x123f4d13,
+    0x23b9fec5, 0xd79fbcbe, 0x98960d02, 0x33057af9, 0x9e2c0be1, 0x42bea4e3, 0x15df5c95, 0xc89ebaf4,
+    0x186c89b1, 0xbc985357, 0x6d658cc0, 0x1fe117f4, 0x84369694, 0x24a18033, 0x84363296, 0x3222d9ce,
+    0xd3e3fb61, 0xc9183f13, 0xa9588c7b, 0x25c3be13, 0xdda9e7e2, 0x9b4ef718, 0x3d607b56, 0x8395476e,
+    0xe014c314, 0x9ea7f04c, 0xa6dcf14b, 0xc3bb6deb, 0x661726aa, 0xedb753a1, 0xfcb5e70b, 0x906f9ac4,
+    0x65c8772b, 0x63f69608, 0xc614f008, 0xa04701a2, 0x163dee2d, 0xae0d4c0b, 0x707598e8, 0x289a42fb,
+    0x6590a6f0, 0x1df86a40, 0x4fc5ff90, 0xeeeee268, 0x0685d66d, 0x16bfb5c5, 0x4b4f3497, 0x7ad42695,
+    0x9525ff77, 0x2c85f3fe, 0x83b0babb, 0xcc4a5dcd, 0x64ba268b, 0x60206731, 0xb0fd2149, 0xcc83c164,
+    0x620a8250, 0xca3e57b4, 0xc4d9390a, 0x1e4eeb29, 0x367c02e6, 0x93d893cd, 0x1b26edf9, 0xe393ab52,
+    0x32188fc1, 0x73a0b7b0, 0x3888be1f, 0xb3ac87b4, 0xe65ba4b7, 0x9c167220, 0xbc15c86b, 0x730b1297,
+    0xd1a399e3, 0x326f7765, 0x4c8ecdfc, 0x51478e80, 0xdbd9cdec, 0x900e08c7, 0x5d3a9dd5, 0xea4cd34b,
+    0x0e32cefd, 0x1cea71df, 0x20e5d104, 0x3f699382, 0xb018ab1e, 0x91316c58, 0xbbbc2545, 0xdb0d83e8,
+    0x2295db6b, 0xafcec142, 0xf0a02cf8, 0x1acc408a, 0xdda38521, 0x2b120941, 0x6ab20ee6, 0xf69841b9,
+    0x2e5a5558, 0x37712a37, 0x4014822a, 0xde76cdf0, 0x02a9a76b, 0x9416a036, 0xb9fee10f, 0x36af37db,
+    0xfe326adf, 0x3beeb606, 0x603a9890, 0x8d50c075, 0x73b89f13, 0x32341c7d, 0x1f848e59, 0xdb2fba58,
+    0x8cd99d50, 0x37317582, 0xea9f5fde, 0x761bf34a, 0x27c78ce6, 0x1407a928, 0xdaef692e, 0xfa45bc00,
+    0xdd0fce04, 0xec649ea5, 0xfad45ac2, 0x4abff7f3, 0xc1934763, 0x23c5c126, 0xaa5149c6, 0x2cedec57,
+    0xb69e96f7, 0x1f1f3fe7, 0x3825b71d, 0xda266115, 0xa1d186fa, 0xad4587d7, 0x568e9034, 0xb03d713f,
+    0x2464d419, 0x406d8bea, 0x61fa865d, 0x27fedb7d, 0x424bb83d, 0xa3136ae7, 0x647a1880, 0xe8197d74,
+    0xfb0fa88b, 0xa19e55d0, 0x97b0dd72, 0xcd763b42, 0x7e886571, 0x5817f04d, 0x75e5134c, 0x777db42f,
+    0x0ecec9d6, 0xd8074c22, 0xc495332d, 0x5a1d68d5, 0xf2dd59ae, 0x45f1d4d6, 0x948a7b02, 0x14d67c25,
+    0xc08328e2, 0xd9055e4a, 0xa5293898, 0xc6743bfc, 0x10e0c756, 0x2b6cbe9f, 0x2027631e, 0x65034e99,
+    0x0dc99c00, 0x2080abcb, 0x4aa81cc1, 0x709f1b3e, 0xb8f2bdd0, 0x882c6896, 0x4cbb3c8d, 0x41b48b5f,
+    0xca0c913b, 0x85d24970, 0xb9f17f4e, 0x409b9b45, 0x1d164f20, 0x58b46bac, 0xd4f096f0, 0x69b66116,
+    0x6e5a10c5, 0x53b96426, 0xfad440bb, 0xc2941889, 0x4b64ded2, 0x11c5cb48, 0x32fb1f13, 0xe9c634ae,
+    0x3f6fb3ba, 0xe5440d56, 0x7ece7d25, 0xe75b1b69, 0xafb5b346, 0xaa109a9b, 0x75b9567d, 0x90621c76,
+    0x364f7b67, 0x0d526801, 0x11bcb469, 0xe93399f1, 0x119a3298, 0x2dea06d7, 0xfa611dde, 0xe4f4297d,
+    0x55fefabd, 0x0b7a5fd0, 0xa82b8f20, 0x1701f025, 0x51c62abf, 0xb5097c75, 0xbd985061, 0x4b510051,
+    0xccacbe4b, 0x8f0fa318, 0x02b6cfee, 0x15c3b27e, 0xafdbd7f4, 0x5115542a, 0x22a66aa9, 0x6e3d2358,
+    0x1d73ef62, 0x06fdf813, 0x228a55cb, 0x9fa2e7a5, 0xe517d2d0, 0xb49fb723, 0xc16c6caa, 0x4c0aa7f0,
+    0xe9408cc4, 0x5c78d5dc, 0xd8b0412a, 0xe87fe413, 0x679ab248, 0x229b073f, 0x83b895df, 0x9d41f430,
+    0x7647a755, 0x60d4796c, 0x2480501a, 0x391c6b18, 0x437e5634, 0x62246f6b, 0x98719f0a, 0xd064cae1,
+    0xa87ec0f3, 0x4cd713f8, 0x08d99155, 0xe04cc739, 0x83fee4a4, 0xdf30810d, 0x7cefcb0d, 0xe707b23b,
+    0x70408b2d, 0x065520e4, 0xea98206d, 0x709eb957, 0xc63c2c7c, 0xf991e9d0, 0xbac73b50, 0x30e94bab,
+    0x392a277a, 0xc384b052, 0xb7540925, 0x40e68370, 0x8e63ceb9, 0x69a36e31, 0xec1944b1, 0x8e9ec094,
+    0x44748392, 0xe94a5c61, 0x5b6f1a0e, 0xc2be1bed, 0xf917b236, 0x3ff71c3c, 0x1b3e9346, 0xd6d623ca,
+    0xe9ac55ff, 0xbcf08d50, 0x86feaf14, 0xf77c79ac, 0x32558f99, 0x14fd1195, 0xba854ac2, 0xad8b5f08,
+    0xbf4e6f6c, 0xf7515412, 0xa36a1496, 0xfacf5c35, 0x0fcacc0b, 0x86d489ae, 0x50180239, 0x75585243,
+    0x9758bd78, 0x30046001, 0x2fc9b2fe, 0x31beb2d4, 0x686bd108, 0xb15c7a78, 0xd715473a, 0x32865418,
+    0x197b5619, 0x71a95b12, 0xe2db1caa, 0x36bd93fa, 0xa69ab942, 0xc50ba0e6, 0xec462915, 0x800bc267,
+    0x13fe4fe3, 0xbb4fb79a, 0xb6b9d6d2, 0x11e27a8e, 0x637871d6, 0x6f09f30e, 0x3ca9adbd, 0xaf5f2a00,
+    0x34d5bc66, 0xe6d47976, 0x7876039b, 0x0643fab2, 0x63107314, 0x74e29085, 0xc540f26f, 0x287e486c,
+    0x92d2652b, 0xaf4d8408, 0x8c01aaa4, 0x8ccd45ad, 0x26c994c7, 0x80500b28, 0xb6eb9c83, 0x817a16ee,
+    0xe109d4ee, 0x6862cee3, 0xd0af48e9, 0x5ff31b45, 0xa8b94698, 0xee718a06, 0x41035b84, 0x9ed0e332,
+    0x0569b443, 0xf1b59b98, 0xab4959d1, 0xee48de5d, 0x21dc05b3, 0x940c1abc, 0x9cbc5a20, 0x7e24af84,
+    0x9ad8c7d6, 0x0472d4f5, 0x52847cae, 0xde2515f1, 0xf2b8ba4a, 0x78d38c07, 0xc73ef4f7, 0x1fb8a915,
+    0xdd06d99d, 0x8efe13cc, 0xfa31b5c3, 0x45dbf4b4, 0x2bc9f664, 0xdb79e7d5, 0xfe951a25, 0xe0284810,
+    0x23bd6713, 0x0f8c5c74, 0x45cfedf6, 0x786eeb25, 0x0c4ffcd0, 0xeb06016e, 0x1223e641, 0xf2766c1b,
+    0xa19bb9f5, 0x14fd7421, 0xa08a5a02, 0x7a6bf592, 0x18d61469, 0xad3d4829, 0xf36c1749, 0x8b3527e7,
+    0x9c7465a0, 0xdc6abe50, 0xcf7e88bd, 0xf63aa93c, 0xb81f3bbd, 0x069e71d6, 0x82ccaaa4, 0x908e7e9f,
+    0x863bc11f, 0xbba36f15, 0x6e1fae08, 0xb1fb985b, 0x6d0e4d57, 0xff3ef8e0, 0x1a75665e, 0x6b46e0ae,
+    0x38884b2f, 0xe9465469, 0xa3f2da10, 0xb5f15c02, 0x53a70047, 0x9fb43e1f, 0xbccd3920, 0x688ea05a,
+    0xe2064558, 0xfdf71b22, 0x77495ecc, 0xebfcf672, 0xf6032d51, 0x2ec35140, 0x64b1f3d8, 0x0770769e,
+    0x40468c6d, 0xec65a497, 0x71cb8025, 0x4a3ebf65, 0x8bc59d2d, 0x18e8cd6d, 0x2ed4683b, 0xc1d70ee9,
+    0x298da38d, 0x554e63a4, 0x7c96b213, 0x7b78557f, 0xa5f12607, 0x2988e717, 0x12871e32, 0xb5907aa1,
+    0x09dc8baa, 0xce2a121a, 0x3ab86ca1, 0x6a753708, 0xdb1ae055, 0x4faf43fd, 0x6ae8eef9, 0xbd061334,
+    0xe03a0bd5, 0x5266abac, 0x2c5a5ec6, 0x5c511e07, 0xe9eae3d7, 0x74b0405c, 0xf08ed17e, 0x4c7586b4,
+    0xa62787fa, 0x11664a79, 0xa1efa778, 0xc74fae5a, 0x9c433747, 0x70fad659, 0x976c6704, 0x74adb28e,
+    0x71fc32f2, 0x1e258ded, 0xc9716aef, 0xa36cc378, 0xd19086f0, 0x46777c39, 0xe0d040b2, 0xadc4ab90,
+    0xd0161dcf, 0xffae8997, 0x364f82ff, 0xd21c9000, 0xefbd5ffe, 0x99cc2bf1, 0x54b7bd78, 0x7da4f2af,
+    0x3e41939b, 0x578200ad, 0x408cff9b, 0xbeb25355, 0xf41d863d, 0xcb3d8cea, 0x77376e6e, 0xb48f051a,
+    0xf54b1c41, 0x4af22a80, 0xc7197b22, 0x71b8e8ac, 0x4f0c10ac, 0xa8634e14, 0xdeb3c16d, 0x2d42d562,
+    0x05ac2561, 0x180365ca, 0x51c7a4bb, 0x633d10c7, 0xa7fc0a0c, 0x9cdca3b6, 0x5bd4aca2, 0x1a72e09a,
+    0xb294dd49, 0x2e74b417, 0xc07b1407, 0x3edcbec7, 0xa566beac, 0x25299b25, 0x2ec876ab, 0xd0e5a625,
+    0x0d6c537e, 0x6abf7036, 0x21ad19a2, 0x6e918308, 0x490cde92, 0x76da2cec, 0x7cf78a53, 0x75e8ad9e,
+    0x47fc6285, 0x8346a2fd, 0x500b59ae, 0xe1ad6a3a, 0xa695077e, 0x750842b0, 0x9ce59dad, 0x0577510e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000003450873173395281893717377931138512726225554486085193277581262111899648 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16e, 0x49537f7c,
+    0x00000000,
+    0x88c55989, 0x71600154, 0xcd003f73, 0x3b891735, 0x9395e388, 0x1f71e38d, 0x8d840805, 0xb873ba0a,
+    0x0a0545f9, 0x1c0fbfa1, 0x7aabaa51, 0x82d94f89, 0x122316a0, 0xfeedfb97, 0x6c60bb33, 0x267f8fd3,
+    0xba84c274, 0xad511581, 0x3de2bdff, 0xcc723e14, 0xd574a630, 0x66b486c7, 0x3a3764bc, 0xf23bf0ae,
+    0x3f297357, 0x6811faae, 0xf3e2eaaf, 0xf6e5fa47, 0xbc1f45d1, 0x9d1fc961, 0x605b6c6a, 0x3b4eb963,
+    0x464292a7, 0x0f763373, 0xf698ce59, 0x35ac46b9, 0xdb157cb2, 0xa033cfbe, 0xff175be7, 0x0be5aeef,
+    0x2dfb254d, 0x7e24fd33, 0x165d6383, 0x9b2e8431, 0xf4732312, 0xcc18259c, 0x81c8dddc, 0x3f2b97de,
+    0x690edd22, 0x46b8b87b, 0x480dfbdf, 0x378d3c36, 0xc8b06ea9, 0xfdb0e4f2, 0x5c257205, 0xc2c0664e,
+    0x7fb3ea81, 0x15c47afe, 0x66ec8131, 0xd2eef2eb, 0xa46ce139, 0x12fa4d88, 0x4207791b, 0x30ad3dca,
+    0x5be0b3b9, 0x2de80130, 0xedc5cc13, 0xb7d27b62, 0x321b3ba8, 0xf602ad49, 0x5ac028de, 0x31b85c5f,
+    0x139cae1d, 0x70074324, 0x670f4363, 0xaada935a, 0x6d6d3fa0, 0x75ffa79e, 0x2e27615b, 0x57c72818,
+    0x03039c16, 0x44a67912, 0xaa8cad81, 0xa07f1a83, 0xeb08daf9, 0xcd7552f8, 0x25632ead, 0xfa643ccb,
+    0xb26cc6e8, 0x66ffba11, 0xe4fadf91, 0x4f4c5f73, 0xe9ce4875, 0xe7525ab3, 0x9b75f07f, 0xe5d7d587,
+    0x6ae629eb, 0x77db1c08, 0x150b356a, 0xdb3a93f0, 0x0553cc6b, 0x81369f5a, 0x9f1aed3e, 0x63de993e,
+    0xef90fd5c, 0x96335c69, 0x82317351, 0x9026e9c6, 0x516805b2, 0x18f89c51, 0xf10c8927, 0x12a72b58,
+    0x8e1daa21, 0xbdd76da6, 0x44a7f3f2, 0x06f5757d, 0xb722c88a, 0x37c60434, 0x61fd4b1b, 0x1b410404,
+    0x8057aaff, 0x2f173985, 0x225007e5, 0x94dba083, 0x11aeaa57, 0xe79726fc, 0x285c20d6, 0x545e3583,
+    0x1d1cc13c, 0x6db3d14e, 0x06419fb1, 0x669faffc, 0xdb01d1d4, 0xe6d02395, 0xc3ce1f5a, 0xd3cc7ea7,
+    0x668b2330, 0x74dd2d31, 0xdb82175e, 0x36aa338b, 0x3cc228cf, 0x5e357ff8, 0xe3fc1720, 0xb5562be6,
+    0xdf8589f1, 0x35a12857, 0x2d0b6ca9, 0x0863de94, 0x0604ac1f, 0xdde10518, 0xec0616c9, 0xaa13edd6,
+    0x99ef1b1a, 0xcba67452, 0x3dcc14a9, 0xf6db8773, 0x0cac897b, 0xabfefed0, 0x89e3624d, 0xb81be387,
+    0x208e508e, 0xaade74fa, 0x210aaead, 0x1e91bb29, 0x7b51c9fe, 0xf9ae4e40, 0xf44e5036, 0x6475715b,
+    0x27a85d71, 0x4b1b86e0, 0xeaacd5c0, 0x67966b25, 0x142c2295, 0x2d493c61, 0x40f1dc99, 0x7ff3e348,
+    0x0110d231, 0x0305cb75, 0xd6544eab, 0x69ed6120, 0x026fdf34, 0x4620b9f4, 0x7b257d04, 0xb14b3bd4,
+    0xe95b1d9d, 0x109fa792, 0x9826c1bd, 0xa9a4f874, 0xbe22216a, 0x427d49f8, 0xdcb95a79, 0x5ae5cfb0,
+    0x375b0510, 0xc1770d74, 0x3042a013, 0x622c6660, 0xb5f665c9, 0xfe872218, 0x0e695f1d, 0x297908c0,
+    0xc9fc2407, 0xd8c2e711, 0x82b2a688, 0x2c6413e3, 0x7758f8a3, 0x79d0feb4, 0xf909543b, 0x71691ea2,
+    0x899b73c8, 0x03979a90, 0x64e1bab6, 0xede2a7b1, 0x4dadbcc8, 0x1ed7c630, 0x3fff5f0b, 0x5bc90718,
+    0x66be835d, 0x276512b9, 0x217ff4f1, 0x5009caa3, 0xacc368df, 0x8c41f106, 0x97313d96, 0x2fa99679,
+    0xb8edad6f, 0x692b00cf, 0xb35343cf, 0x6763cdfa, 0x4ecacc5f, 0x32581081, 0x547cc660, 0x965e3d92,
+    0x3c936cb4, 0xd39e695a, 0x17c8d3ff, 0xdd7756ea, 0xbf7ed60f, 0x002a99ee, 0xe3236e1b, 0x17a91059,
+    0x83a67ffc, 0xaa78eafb, 0xc04afee4, 0x31a9095a, 0x99a3eb24, 0x9aedb66d, 0x10dcace0, 0x2681e07f,
+    0x7132d1d6, 0x6d443cc3, 0x5fa67289, 0x23c1391e, 0x5172e955, 0x7061cc52, 0x55f0f1bd, 0x9c40661f,
+    0xd7006d88, 0x49c87953, 0x1d3a69c9, 0xb42b9e9a, 0x61fc99c3, 0xe710b804, 0xeb552f37, 0x9648a990,
+    0xcb318f53, 0x33dc7242, 0xfc8eabbf, 0xe1865d4b, 0xde32bb7e, 0xd511077a, 0x4a2afa7f, 0x7f5dc83e,
+    0x22e5e67d, 0x4b6256ec, 0x30fbd6ba, 0x8c53ab9f, 0x3abdb74b, 0x4a804b87, 0xd52fad17, 0x341c1d56,
+    0x04b61b5f, 0x292d218c, 0x83c14c36, 0x854d54d2, 0x34ced388, 0x59c2154a, 0x3f2665a4, 0xb009b961,
+    0x7fe865c4, 0xd193afd0, 0xea29c4b0, 0x4496983d, 0xc2ff17b4, 0x6cb32813, 0x94362c62, 0x63ecd061,
+    0x46ce580e, 0xeff7e7f4, 0x7689411f, 0x225ffd39, 0x8dbc083a, 0xe86324fb, 0x4b2b1c12, 0x609ac7ea,
+    0x28c8d89c, 0xc886bcaf, 0x5baa7bb5, 0x0f87da32, 0x1c0308aa, 0xb3021814, 0x266b3900, 0x468ad074,
+    0xcdc86aba, 0xfc809f41, 0x85f48245, 0x5c1569cc, 0xddc6ec0b, 0x1ea16ad8, 0xc2cb1390, 0x9c06e660,
+    0xd13b6253, 0xfeca9d4b, 0x408177c8, 0x7bd25dfc, 0x832c95d5, 0x583c6d0d, 0x7049e634, 0x58c1412f,
+    0xd67c3b20, 0xf9139496, 0x0acde1e6, 0xcb1db32c, 0xc546f627, 0x3975e70f, 0xe2ca958f, 0x3e1fe941,
+    0x3f4bcccc, 0x5dbfc34c, 0xfec59c7f, 0xde0a1643, 0xd60994fd, 0xab27bb71, 0x069c7046, 0x7fe07be8,
+    0x4aafec03, 0xcd686312, 0xb81a361e, 0xbc3d22d3, 0x0599bb0e, 0x31b68ae1, 0xda96d1e9, 0x2b37dde7,
+    0x3cbce71a, 0x3c913cc7, 0x81161fb9, 0x9620262c, 0xd99a0f87, 0x88e31d72, 0xcf63f9de, 0x1ef4973a,
+    0x9b2ebbae, 0x9783c980, 0x8c1e754e, 0xd9d62c8c, 0xdd2a1e13, 0x96cd1715, 0x179a7eb9, 0xbbe5f06e,
+    0xee332030, 0x3913cac4, 0xe3f95e84, 0x42c4e05c, 0xcd65b2fc, 0x0fcc70a1, 0xe68b86c9, 0x7d8b19e2,
+    0x39927588, 0x3b641da3, 0x8b6875ee, 0x6e5c0217, 0xd8f5cce3, 0xcc5fce69, 0xb654ebe4, 0x918e117d,
+    0xa6adb1cc, 0xe9de15f8, 0xc2a6b0ca, 0xb81e1e7e, 0xf20b6f68, 0xddac1649, 0x4c740312, 0x2c4f9693,
+    0x44fd3d80, 0x29564595, 0x8a93d4c9, 0x212c563a, 0xbadf54c5, 0x282d23aa, 0xac257a44, 0x599d1536,
+    0xe3b636b1, 0x905b3936, 0x29350578, 0x835a4d05, 0xc9731238, 0xecee4003, 0xb0dcb23e, 0x88f03cf2,
+    0xb63b1631, 0x8e19b767, 0xd466a3a6, 0xe3ed3f28, 0x9e6a3484, 0xc70563dc, 0x197f8a67, 0x5b2be488,
+    0xa0d57a83, 0xfe4979bc, 0xfce6d38d, 0x71c6a1f0, 0xdbfb86c0, 0xe38aa1d6, 0xf5986a67, 0xb1c7042f,
+    0x8ae4242c, 0xd61b1d49, 0x28f583e5, 0xac744b3c, 0xb24db6bb, 0x5bc51e0d, 0xc249c484, 0xa49d7166,
+    0xc36aa19b, 0x3d32d6d2, 0x49dce025, 0xc38e8fd0, 0x97dbea4e, 0xad6c2fce, 0x180eaaa2, 0x8a1fa552,
+    0x97c00ad6, 0x2b534e9a, 0x052c5ee3, 0x3744ce08, 0x382c8e2b, 0xe37a1005, 0xfe3bce72, 0xf9ebd7a1,
+    0x85de25c5, 0x7cc6c806, 0x13463d31, 0x1fbe87bb, 0xe7de22dc, 0x49d44625, 0x0dd44f6e, 0x5f6dabe1,
+    0x5beb03f0, 0xe45b8583, 0x27247c8c, 0xdba2ae83, 0x74fc7e06, 0x12a40297, 0x1acf0742, 0xfee04e1c,
+    0xe1db5b48, 0xeadcdf65, 0x04da8e08, 0x991f8709, 0xea7f176d, 0x4edf1707, 0xc644955e, 0x8446011e,
+    0xf2c70ab1, 0x46555854, 0x1d7a2927, 0x57c92eb2, 0x9dec0f28, 0x3b143f77, 0xc5945c9b, 0xeade6adf,
+    0x959c43aa, 0x87a0e843, 0x83724b47, 0xc587290d, 0xc89c7c3a, 0xbf5992c8, 0x0aaa13da, 0xb25c08f2,
+    0xeb044dfb, 0xbf86608a, 0x0a773234, 0xa8d0e17d, 0xc0959efd, 0x750618f5, 0xd06aabcc, 0x9e1aaa64,
+    0x8c0158e5, 0xc8f7ec2d, 0xd197fe10, 0x33368af0, 0xc37ffa94, 0x70bb6193, 0xdba9f35e, 0x6ec4f4cb,
+    0xc87555c7, 0x2db678f2, 0xe6bb8346, 0xc0695747, 0x842f172c, 0x67bd3a51, 0x6e05e46a, 0xf65d7b65,
+    0x1322c649, 0x7596b73f, 0xd302def0, 0x99f14ecc, 0x88c3a046, 0x1f1adc29, 0xf14d85fe, 0x69ef2eee,
+    0x47989f04, 0x0e2a6d97, 0x96c14eae, 0xa6e9e6fc, 0x67b4a866, 0xad87eb30, 0x37216e99, 0xdc5c6e7f,
+    0x08347881, 0x7e3664f9, 0x3139142c, 0x28d65ed4, 0x6874abbf, 0xec772543, 0x09d330c6, 0xaaab7ddd,
+    0x9b6aa59e, 0x3c43ae90, 0xc24653f2, 0x9cd8a373, 0x9d7757e4, 0x55a060e7, 0xef21c08c, 0xfbf2eda4,
+    0x378817c6, 0xafc7641d, 0x5952f9c7, 0x6607519d, 0xcaaab74e, 0x03f068da, 0x126cf3f4, 0x78d99358,
+    0x76e066e8, 0x7797e921, 0xf0b663f2, 0x4767b2da, 0xb74d1ffb, 0x67edf6ef, 0xfe7baa7f, 0x28744291,
+    0x6464a681, 0x90b45fe2, 0xe1ca1fa3, 0x4f7f71a2, 0x7b8fc615, 0x22ee50ce, 0xcc1a78bd, 0x2620bc5f,
+    0x51d31b1e, 0xd7ac3ee8, 0x415993c4, 0xa5eddb1f, 0xaa830922, 0x899752a3, 0xe4b6bd5d, 0x2907575c,
+    0x58a723ce, 0xf5d36d1f, 0xe3629bc0, 0x8ef7ced3, 0x7c340dd1, 0x3a8c31ed, 0xb5792017, 0x1ed97fd6,
+    0x7bc2a4bc, 0xf93cd58b, 0xfcab9cd8, 0x28cff9c2, 0x961d77ad, 0x1b6157b7, 0xba944678, 0x493ef0f0,
+    0xaf0c6bfe, 0x5fabfd50, 0x6012ee35, 0x773456e9, 0x3e1033b7, 0xcc280b1b, 0xc32f7142, 0xa2355f73,
+    0x00b06680, 0x7473530e, 0xdb42a01b, 0xffc73560, 0x3d49e11e, 0xc99b142b, 0x4c7506d3, 0xeadb67dd,
+    0xa76646be, 0x89126439, 0x59eaf0d8, 0x2ef62fb1, 0x7faccaae, 0x7e7829ba, 0x2a41b81c, 0xcedcfecf,
+    0xf72c28b6, 0xa19923f5, 0xe2daa786, 0x6833abf8, 0x62fd97a9, 0x75b65aff, 0x1bc5d3dd, 0x220c79cd,
+    0xef66df09, 0x3f3eebcb, 0xbabf2b9f, 0x4ff31c75, 0x19704317, 0xd50e38e4, 0x26d1fba3, 0x297789c8,
+    0xc574940f, 0x5fd7afc1, 0x8dd1d6a3, 0xbf6c2f0b, 0x6065ef6e, 0x15ae9089, 0x644c143d, 0xb2735ac3,
+    0xf816e1ab, 0x46fef013, 0xe1f54e80, 0x4aded137, 0x23671f3c, 0x343ee0c0, 0xf8451962, 0xffaa04ea,
+    0xdbe1327a, 0x58cf1fd5, 0xa7039467, 0xc63ed500, 0x87e61155, 0xda7eda0f, 0xc19c1222, 0x7541c03b,
+    0xf20ddc86, 0x30bef049, 0x46412fa7, 0xc822a7ed, 0x255d4e96, 0x39608898, 0x148b6e13, 0xed07b02e,
+    0xdbec411c, 0xb02233b9, 0xa56c4591, 0xd0098b9d, 0xae384550, 0xcd9a8d63, 0xf8f60ba1, 0x8251b8d4,
+    0xcfb6d368, 0x7dfb30a4, 0x7425a951, 0xec5f7b76, 0xa7fdfdd8, 0xdaefdbe7, 0x9c930ab6, 0x494d0c08,
+    0x07e301f4, 0x4a4570ae, 0x60ff8124, 0x3219fa0c, 0x1170a79c, 0xf2574727, 0x4869cf41, 0xafa30623,
+    0x1c758603, 0x5d5a2097, 0x63433c93, 0x95f9b4a9, 0x2c374f10, 0x75a08075, 0x80746437, 0x19266772,
+    0xb270c45b, 0x2600f8f3, 0x992554f1, 0x9b6ed27b, 0x14425458, 0x4c183530, 0x861cba63, 0x6b1303da,
+    0x7fcbe751, 0x52d9bbdd, 0x01a0dd4d, 0xcfc4bfc9, 0xe7837297, 0x0f70eabc, 0x8083a1b0, 0x17bf0ad6,
+    0x189afb2c, 0xbe4904f0, 0xeaf2393b, 0xdb537183, 0xf06ffe2e, 0x5957b661, 0x71f9c5ee, 0x6bd3ac87,
+    0x475f051f, 0x3e38676f, 0xfd99d2c9, 0xb8a906d2, 0x37a8246b, 0x00647fc0, 0x867a7ac1, 0x3ada54f0,
+    0x00d2a060, 0x5cda246d, 0x8e126329, 0xf9b936f8, 0x9e3c0f60, 0x92a377e1, 0x3d0a68ab, 0xa0ca5a1d,
+    0xa40bb5ee, 0x574e664f, 0xe648dcad, 0xdd4d2a2f, 0x9c6ae5df, 0x27a0f5b7, 0xbd8a8ece, 0x979c6617,
+    0x18b9f48d, 0xef9ac6b5, 0x40b663a2, 0xb717d8c6, 0xb4e5cb62, 0x47576e84, 0x4f49ee6a, 0x9454a381,
+    0x546628fc, 0x9c4040a9, 0xe79cf7e1, 0x45f08f93, 0x28c50666, 0x7094df96, 0xea15dcfb, 0x9e61856f,
+    0xa9360648, 0x08c8c755, 0x2f496c2d, 0xfd09189c, 0x72a94a35, 0xad168206, 0x731c37f7, 0x35a29318,
+    0x1c9b22b8, 0xefd0e05b, 0xb3ce19e0, 0x101a98be, 0x9a6a77cf, 0xda111240, 0xfb76b68f, 0x01810b58,
+    0xe0e20288, 0x14878509, 0xe1c03736, 0x322eece8, 0xc99751c4, 0xa30fe88f, 0x5139e096, 0xdc9a03fb,
+    0x32c712d1, 0xc007ddbc, 0xab2ce6de, 0x29911a82, 0x9d2da2be, 0x30f421a4, 0x68a712fe, 0x69320e83,
+    0xcfc0cbd8, 0x059d1a0c, 0x78046231, 0x2298552b, 0x2ffd29e2, 0x44559d71, 0xa8dda1cf, 0x8e7d0f7c,
+    0x67fa3180, 0x2db6d067, 0x14c7faab, 0x02046b0b, 0xbae6eaa4, 0x122e90e8, 0xdba2c159, 0xefcfd224,
+    0x65a6208b, 0x9c63cc7b, 0xbdcdcbc8, 0x4186d946, 0xfb45f962, 0x90f77611, 0x15e1f3f2, 0xe2bc4031,
+    0xa7d7b3d4, 0xd1228cb5, 0xe6e4e1f7, 0x9af900d7, 0x6a1724e2, 0x3ee8aaeb, 0xa67a514d, 0x2ba05624,
+    0xbb4d78cd, 0x6d5a3bed, 0x8839a1e5, 0x1a4a71fb, 0x9ea0d19c, 0x333b3718, 0x791c4248, 0xbac0a744,
+    0xdcc92a79, 0xd5b274c4, 0xf4934477, 0x201964fd, 0x8bfd15ef, 0x805c6b4b, 0xb8b91bef, 0x9a31ea94,
+    0x51d9e0d3, 0xecaeca16, 0x40e017ee, 0x3e2c654c, 0x2824bdd2, 0x3f93c591, 0x790084e8, 0x9c03d14b,
+    0xba73fcf4, 0x682da9c7, 0x5e8a3718, 0x4221a4be, 0x9d52c188, 0xe3dac8d7, 0xd6acbd9c, 0xa4cff63d,
+    0x95a6d8b7, 0x7f2527ea, 0x5b8681d0, 0x9e90403d, 0xb706184d, 0xc83aaeff, 0x1f9667a1, 0x1fb71658,
+    0xabd6f50b, 0x0c699335, 0xcbba1c29, 0x2d94eeda, 0xc2b6efed, 0xb04c857e, 0x962183c7, 0x2d0d7cf0,
+    0x3612b4de, 0xc25a5b4a, 0xe37722bc, 0xeb3ea439, 0xac2815d5, 0x5d94e3a9, 0x4e658e58, 0x6356b4ec,
+    0x2cc2ed9f, 0xc5c5a623, 0xb6e02d39, 0x0cf24054, 0xa97054d2, 0x04bcdfdc, 0x74ccff33, 0xfcfbfd4d,
+    0x12e87d77, 0x656152f5, 0x41b5f9a8, 0xf1ed1692, 0x2801bd94, 0x625a0957, 0xf6be1c20, 0xccdf2f25,
+    0xb4a6848d, 0x34790269, 0x66ab1bc9, 0x4d8e4b8d, 0xdbd48cc7, 0xe68b41c5, 0x27737a38, 0x6bf0c33f,
+    0xe06a2f5c, 0x567d771e, 0x08ac2d32, 0x8df470bd, 0x68c74f84, 0x08ced018, 0x4be8577c, 0x34ad7649,
+    0x675f4fad, 0x1539a316, 0x985eaf13, 0xe7abdae1, 0x7c6d1888, 0xebab25d7, 0xa9d2362c, 0x964e910d,
+    0x454491ab, 0x6a38bf8f, 0xaba0d741, 0xa908340b, 0x8cec5e45, 0xda6888fa, 0xf2611b32, 0xcf9ffc8d,
+    0x380eb0e6, 0xb08af800, 0xf6411a52, 0x216d1769, 0xd4ad79f7, 0xdeb911eb, 0xebb94631, 0x17e13195,
+    0xcc31fd55, 0xde3a8b99, 0xdd10c7f9, 0xb8549ea2, 0x5225ceed, 0x679a5c4e, 0x2e3fe8fa, 0x5f6b6729,
+    0x8ab7b505, 0x267c0ce5, 0xd7dd8717, 0x3652ed06, 0x6dfd6867, 0x64f5f2db, 0x323475e6, 0x07a8546c,
+    0x4889f024, 0x2cf50867, 0x2a8308a8, 0xf84d1e1a, 0x6d28dc17, 0x43e8d9a0, 0xc61b8650, 0x74a798bf,
+    0xb387de9a, 0xaac7536a, 0x1a4581b6, 0x4750bca0, 0xde85ef94, 0xfc23648d, 0x8ad33eea, 0xa64b475f,
+    0x25eeec37, 0x804eb2b0, 0xadc66746, 0xe946a1e0, 0x8a7391bb, 0xf0ee3c75, 0x5db88dd3, 0xa70c5d74,
+    0x65beb2e8, 0xb5edac06, 0x3aa49cbf, 0xe69b8f78, 0x53b7fd39, 0x49c0709f, 0x39d86ce5, 0x041f374c,
+    0x226518e9, 0x2bba123a, 0x1c90df95, 0x666a1fe4, 0xbe38c782, 0xfce6c8be, 0xfb05e469, 0x975dc220,
+    0x19101e21, 0xcd25cc0d, 0xfe602aae, 0x22ded73a, 0x778cef13, 0x462f2efd, 0x378b7386, 0x80a060b0,
+    0x0271224d, 0xa4328045, 0xf7844adc, 0xad378465, 0x5c31bed6, 0xa306f48f, 0x13c2d1f5, 0xcd4055d0,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000001725436586697640946858688965569256363112777243042596638790631055949824 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b7, 0x24a9bfbd,
+    0x00000000,
+    0xbb1e58f1, 0x446622e6, 0x5d63d61f, 0xbc372209, 0x26c138b1, 0xda147d5d, 0x7d5a1929, 0x5a1c5cd2,
+    0x5afb84d2, 0x0061183d, 0x37679064, 0xcb81ebf4, 0x78b7bdda, 0x24c36b4f, 0x22772e95, 0xf1d710a6,
+    0xeab3a244, 0x55967d9e, 0x46c7a2d4, 0x1081693b, 0x8deaa131, 0xecd2f116, 0x1b40ff44, 0x4f6647e1,
+    0x82456992, 0xc18c0fa4, 0x40215f82, 0xf0025b50, 0xeaf11256, 0xc611e16e, 0xd248d8ef, 0xce81b951,
+    0xd43af222, 0xf37eb840, 0x4bcf44d3, 0x30a5fd12, 0x412fb358, 0x2ffb5c28, 0x15ae2b08, 0xbd63f078,
+    0x1b4968da, 0xe95ef28b, 0xa8a390a9, 0xdbe091c9, 0xfcbc6eb6, 0xf1285573, 0x6c33484e, 0x992b49d7,
+    0xa70791ea, 0xb7c29492, 0xbcab302a, 0xca32b5aa, 0xddd877b6, 0x98abd12d, 0x8398b16f, 0x118f96ad,
+    0x244d0490, 0x500f3248, 0x3249ecc5, 0x687c985c, 0x750d1cd3, 0x98ea3adf, 0x7941f8c3, 0x7dd03405,
+    0x7488bc38, 0x2ddc67ed, 0xeb1fcbf0, 0x4bbc6cb5, 0x24289ec8, 0xebec1fb8, 0xbbff981a, 0xf111c45b,
+    0x3242a427, 0xa39dab1b, 0xe5c8ce15, 0x7a29179e, 0x4c87e6dc, 0x7129f995, 0xb9048407, 0x1191bd74,
+    0xf9da93af, 0xddc59cf0, 0x1a2270cf, 0x982c8120, 0x9eacfdbf, 0x5b088101, 0xf575ce46, 0x63abe7a0,
+    0xced1f874, 0xa9134194, 0x247a529d, 0x0b00c4d1, 0x19ef0a06, 0x9924de88, 0xe4dc3dff, 0xc220aa1a,
+    0x39f8c487, 0x9aa06482, 0xa1443d9e, 0xf7859e88, 0xbdc771fc, 0x2ceea3dd, 0x5888e41f, 0xfbf25f2f,
+    0x0a4deb6b, 0x216d0d11, 0x0c4fef53, 0x43f7732c, 0xd3f4d9b6, 0x069161f3, 0x22dd8126, 0x9a4065e7,
+    0x8cf09e84, 0xb3ac22a6, 0x2ec04e40, 0xde4ba305, 0x4bd28ee1, 0x21a6c6ab, 0x4d721a0c, 0x436d8667,
+    0x860cd68d, 0x79ce7335, 0xd3176c2f, 0x505ea1c9, 0x4fe2b4d4, 0x1f10c947, 0x07414032, 0x7974e054,
+    0xf65717dd, 0xe1d60230, 0xd92e56a3, 0x37775f89, 0x21ab9982, 0x932d6d6b, 0x344dc317, 0xafe6150e,
+    0x3514c350, 0x20111f14, 0xce88c117, 0x4956182b, 0x8fe43c1d, 0x0597ff60, 0x24adc8d6, 0x41111c5c,
+    0xf0b6ee47, 0xdd34afce, 0x09fe2058, 0xe7f863f3, 0xdb6846c5, 0xdc3f34c7, 0x264c5197, 0xa0be33e9,
+    0x8b22b1b8, 0xdcd95687, 0x85fdc61d, 0xb2f7770e, 0x1333f8ff, 0x5b996f12, 0xb47f1696, 0x4d2fff86,
+    0x14335e1b, 0x6e3ed60e, 0xf1a28e9b, 0x9daa56dd, 0xdc0d3a65, 0x96d4719b, 0x4b156c58, 0x6cbfe5f0,
+    0x0e8122d0, 0x05a11dd1, 0xdd570db7, 0x869f909d, 0xe70d393e, 0xca1e3f0c, 0x2d022c54, 0xc4bb073a,
+    0x03d3740a, 0xbea394f2, 0x0b82dd61, 0x96db3c93, 0x2c1a5538, 0x48b54c27, 0x99081946, 0xe00d053a,
+    0x8480811d, 0x5698c1e4, 0x7e6f2338, 0x4b004f14, 0xe6f22d27, 0x6be6eaae, 0x53a14061, 0x8f6a9dbb,
+    0x81fb1faa, 0x31c46b97, 0x324295ef, 0x7885b07a, 0x63df9690, 0x35347d85, 0x5dfd3e66, 0xc4f464ac,
+    0x04ca9fe1, 0x7ba511d8, 0x7afe347c, 0x541ace4f, 0x9ca2b163, 0xeaf19d24, 0xc9dda28f, 0x8be0259d,
+    0xf88442b8, 0x6d4d0cf2, 0x499c9bdb, 0x8896cab3, 0x94b03992, 0x2396818d, 0xc4347e4a, 0x2ec83493,
+    0x4341bda1, 0xc0cb751a, 0x39727da8, 0xd9caa160, 0x1d5fcbbc, 0xd350dea9, 0xadd1996a, 0x6b4c9432,
+    0x3612665b, 0xd05a105f, 0x0c82b340, 0x6a8ecb83, 0x14ed4b59, 0x5afc0c53, 0xb95e0f89, 0x9811a3c7,
+    0xebd191cb, 0x61703c48, 0x4d0f21ec, 0x0bd739be, 0xd491ff1d, 0xfd84fddc, 0xdf37ce72, 0x5af4c391,
+    0xd72929e4, 0xe7b0fdd3, 0x1d5e06f9, 0x87a62ac4, 0x32d22cc4, 0x93818138, 0x0262faf4, 0xb1f5ada6,
+    0x30ddfbe2, 0xa3cfc797, 0x7925a73c, 0x4a58e874, 0xda2e9c93, 0xa9ad2e9d, 0x808ff24a, 0x5baa61b1,
+    0x19e9b3ef, 0x2dacd2ac, 0x87290a20, 0x01127c78, 0x8a60418b, 0xc3ee0d80, 0x3f57409a, 0x71e22d1e,
+    0xf60bdb96, 0x4b6eed6b, 0xb45a5958, 0x28fa750f, 0x0954bba4, 0xc6bb97bc, 0x9741f7a8, 0x1c1114d0,
+    0x586732f2, 0x4440fceb, 0xf74e8fde, 0x242934a8, 0x9132a059, 0x9842a09b, 0x86cfb576, 0x5a8f4d7f,
+    0x1ff627f6, 0x95d93299, 0x1eca4dce, 0x75473abc, 0x3ecf046a, 0xd2ebbff4, 0x8f4331c4, 0xf9a6ec39,
+    0xfc6e6e39, 0x4df46380, 0x97c389df, 0x40c29e2e, 0x9db47e84, 0x659b1df9, 0x7feac523, 0xcd30a189,
+    0x302bf197, 0xea634424, 0xfc05b04e, 0x8cb8f7ee, 0x9e68d932, 0x6f98162a, 0x996ae568, 0x5d785303,
+    0x85297c5b, 0x5174514c, 0x82d91dec, 0x11fdf550, 0x822a3205, 0x4caf4006, 0xab487678, 0xc5afe866,
+    0xc5c85eff, 0x2baccb3b, 0x55af707b, 0x37e8caca, 0x69d92dc2, 0xaa4d8609, 0xf3dc1170, 0x52d878a9,
+    0x96aed606, 0x52a155ff, 0x33ca350e, 0x0d751057, 0x30e1faee, 0x564b832b, 0x7094d80b, 0x88d6f48d,
+    0x669b2f13, 0x961fea4f, 0xd5868e50, 0x1897bd3c, 0x77738215, 0xb397fb62, 0xc87757d8, 0x4b51008e,
+    0x987e2596, 0x311c4e59, 0xf8966636, 0xc0280429, 0x3acb991a, 0xe4ccb3a8, 0x6f547e19, 0xadcffef2,
+    0xcccf515c, 0xab1da76a, 0x2ee38e7e, 0x8736efb4, 0x13ff9a55, 0x57a20e36, 0xa3d63f74, 0xd1dd719c,
+    0x46219300, 0x23d18a3a, 0xc7b08cc9, 0xfcc46c61, 0x962f54ee, 0x0c233a58, 0x5476aa8b, 0xc61385b1,
+    0xfbae3dd6, 0x0df3fbf7, 0x115a7a14, 0x80cf478a, 0xc71ea7fa, 0x19562654, 0x4256ef80, 0xf8b02b49,
+    0x10bfea66, 0xdf2cd094, 0x8284364c, 0xe46abe16, 0x5906e889, 0xb21aaac2, 0x7b8022e3, 0x3bc0a84c,
+    0x57120868, 0x94f5b439, 0xb69e8971, 0xa08cda35, 0x1d5c36e9, 0x724217a7, 0x05117e28, 0x279c8296,
+    0x29583b44, 0xce6f4e7f, 0xa74ccf07, 0x705987ed, 0x8baddcad, 0xe979d163, 0x6f90c789, 0x4ffb82ae,
+    0x2fcc14af, 0xc8f7480b, 0x64b5b6c3, 0x3c0c030b, 0xe5107eac, 0x9a120677, 0x4d33547d, 0x666f22b4,
+    0xc71c2fe2, 0x1ac49d50, 0x728f4158, 0x6aece84a, 0x031b063d, 0x5c2063ca, 0x4d58ceb2, 0xa805501a,
+    0x5d463ab6, 0x2ba4910c, 0x7dd8e0b0, 0xdaf14ee2, 0x7049c3da, 0x3bae7ced, 0xad63460b, 0x116cc2ab,
+    0x068579d7, 0x3f4ba877, 0x8aa1a561, 0xede955e4, 0xe2511106, 0x42ce8091, 0x9c663e64, 0x59344bcd,
+    0x7d3f30cd, 0x767a61d3, 0xbf77b0c9, 0x462d57a4, 0xc3bbe5b1, 0x278aa90f, 0xbbdb0ca6, 0x6d840f10,
+    0x6a050f65, 0xcabfbaa8, 0x0dbf2d29, 0xa01eae1f, 0xf5610e44, 0x05288169, 0x86953419, 0x8f410cdf,
+    0x863eb4fb, 0x207e614b, 0xa0c92c9f, 0x0983809a, 0x4edd5672, 0x768a9694, 0x1dbff943, 0x04fc1bfc,
+    0x19784c67, 0x3c24d33d, 0x13016d18, 0x75847748, 0xeccb45de, 0x5d7bd447, 0x11f83785, 0x12f3932a,
+    0x8e5881de, 0x319ac306, 0xde8b29f0, 0x483a27f8, 0xe40c74e9, 0x387874ae, 0xefbf138f, 0xc65279af,
+    0x04c3551d, 0x4438a5ac, 0x1ed60c76, 0x4d14d6bf, 0x47357b37, 0x4056d315, 0xddae3cbe, 0x0753a4aa,
+    0x83064260, 0x6bee97db, 0xd0045eba, 0x7b603153, 0x1bde2716, 0xe1721c52, 0xa459e988, 0x6f93b076,
+    0x24973001, 0x0c57b120, 0xbc8a0eb9, 0x57dce907, 0x82a80366, 0x9b8160d9, 0x5bcbf263, 0x4bf7f009,
+    0x9dd07121, 0x32c5130c, 0x766a57fa, 0xd4448ee3, 0xb2cbbca3, 0x924bd7ed, 0xe28ba819, 0x4769af25,
+    0xbe71dae1, 0x00a7f206, 0xe40de356, 0xfaf76c6f, 0xfebec0b3, 0x3689333d, 0x9c38d208, 0xc245e5e1,
+    0xcba39372, 0xca4ec719, 0xdb7dcdeb, 0xf85ad1e4, 0x8454485e, 0x43e0a597, 0x415e7753, 0x44f6f672,
+    0xe2bd519a, 0x51266036, 0x24b313db, 0x7b1ed0e1, 0x84ba14ec, 0x016d2bcb, 0x2f0a2d26, 0xf3ee292f,
+    0x6254e409, 0x2056da27, 0xbec76a1e, 0x72d10445, 0x5b95f4e5, 0xfde97d2e, 0x2b50ca9f, 0xf76e3768,
+    0xb6e9f303, 0x39f7e255, 0x45a3cc24, 0xa6ecafee, 0x57ac41a3, 0x8860fda8, 0x54e0ba10, 0x048fcfd0,
+    0xac25cd16, 0x79754c09, 0x8ff06960, 0xc11ac537, 0x5f80ad7d, 0x5fd3ee05, 0xb44031e2, 0xa788e15f,
+    0x0eb61829, 0xb2da07c5, 0x92222250, 0xcb88f48e, 0x0f02c31a, 0x86708759, 0xaeb71f6a, 0x46e9a809,
+    0xb074430f, 0xadc12eaa, 0x5c97161f, 0x9c5abe84, 0x6c689a8e, 0xa5e9865d, 0xb0c2a563, 0x312459a5,
+    0xf599edf9, 0xb1bd4197, 0x9f2903e4, 0x3eb22064, 0x3ba92872, 0x167a7d6d, 0x57918a5a, 0x820aa012,
+    0x8c50fc73, 0xd16b97b5, 0xfc531fb7, 0x4f3433df, 0x771dd540, 0xcbb3a8af, 0x8be3da88, 0x01e03ffc,
+    0x46324d75, 0x68b83adb, 0x1f1057b6, 0x5fa22e57, 0x615eedf1, 0xd462823f, 0xdfb754c9, 0x2360e5d3,
+    0xf5634ce8, 0x8af2b222, 0x44530455, 0xfce17e39, 0x9c40a529, 0x2372296d, 0x2a387895, 0xdea50cee,
+    0x5fc38ac2, 0x2015f21f, 0x667ad95b, 0x3ec46072, 0xaac2a144, 0xda9a098b, 0x2d5d436a, 0xb28d5b4f,
+    0x40336ac2, 0x1c0f2853, 0xe584ab41, 0x04391ad1, 0x92f15a81, 0x907004e3, 0x6f623f83, 0x9a8f7fac,
+    0x88c6806c, 0x0644d64f, 0x8cc55c0a, 0x68d424f6, 0x6a88863f, 0xc82f34ed, 0x1bb6a16c, 0x7f830bb5,
+    0x61ef30a2, 0x3f4fd7a2, 0x66d651a0, 0xb3ba0b54, 0x4d1de06f, 0xa90e4fc3, 0x96038b8f, 0xba68c3f7,
+    0x59f824fd, 0x8719ea5a, 0x28d3d1f9, 0x232eed00, 0x49716fac, 0x958cbe32, 0x8a1f9088, 0xd718d6bb,
+    0x943e30a3, 0x70cddc69, 0x8070df9f, 0xf6e492c9, 0xec8214a7, 0xd4cd54d4, 0x6b2de4a4, 0x0f3ac17a,
+    0x72eb075d, 0x83c80985, 0x1122509b, 0x3879e04e, 0x755da93f, 0xb9664417, 0x68e6dec5, 0xd4549a47,
+    0x09665f12, 0x721bba66, 0x247bfd3b, 0x01aa073b, 0x08167b8d, 0xd88aea22, 0x32a215cb, 0x8ab8c6dc,
+    0x53b9e29d, 0x6b5a80fa, 0xbb7de16e, 0x661cb86f, 0xf3be42da, 0xc9dd8eae, 0xcb8b5626, 0x4e1e5574,
+    0xfb1a1137, 0x066d0d04, 0x42b9bb16, 0x1c570c23, 0x7f7a40d3, 0xf101a896, 0x90574441, 0x076d81cf,
+    0xc4386605, 0x3bd83cfc, 0x1d72fa07, 0x4a233876, 0xf2cfdb6e, 0xae9d3720, 0x1f50ea33, 0x85fb1b09,
+    0xd9ae95fd, 0x4b2459f5, 0x2b4e4410, 0x14426b8f, 0xc6cec25d, 0x6e8e2842, 0x281b3aa3, 0xa39bd515,
+    0xe4d73fdc, 0x498881a6, 0x4bfd88cb, 0x384c0d1b, 0x14ced4a7, 0x726ea2d0, 0xeb6b96a5, 0x69401cb3,
+    0xee895a2b, 0x7e86f178, 0x894e0ace, 0xdb966b65, 0x3d987402, 0xe7dfd5a7, 0xa0360c20, 0xd7e43371,
+    0x747bcc5d, 0x3fa02c63, 0x0a78c123, 0xe04cacb2, 0x91ce4df8, 0xaa4d5cc8, 0x3e83cf5b, 0xa8a8452f,
+    0xc0da30d0, 0xabaf4cf9, 0x4a75c6a8, 0x5653d974, 0x9d179415, 0x612384e3, 0x961df368, 0x3ebd7113,
+    0x130044ec, 0xb4bb52f5, 0x13dc3f7d, 0xacd16166, 0xfac1c6a0, 0xe2034fc5, 0xf27ef46e, 0x70d0785c,
+    0x9884afbd, 0xb4688df8, 0xd240d856, 0x42fdf8d5, 0xa54c930f, 0x294bd082, 0x2d4780e0, 0x8bafcb69,
+    0x707c2938, 0x00074947, 0x2917a529, 0x0eb7736b, 0xca119c61, 0x31948725, 0x91f0dad0, 0x23ef1f72,
+    0x4bed3729, 0x0c880efa, 0xfb3a1d58, 0x66285e5e, 0x57b35aef, 0xcee5e580, 0x32a6fb78, 0xa819dab8,
+    0x60599937, 0x82a1f117, 0x897b935a, 0x30a742b5, 0xd90e4562, 0x8d1aea2b, 0x8a091993, 0x8219cb9a,
+    0x15f084b6, 0x46d3fc9e, 0x5ea5665f, 0x88ec0618, 0xe50a8e8c, 0x8599f721, 0x629142f0, 0x3e1ad8e8,
+    0x8f0bffa7, 0x093071e6, 0x84125bf5, 0x29d8a906, 0x7cd2ebda, 0x17154e71, 0x6809ac6e, 0xc8cf1792,
+    0x85a40862, 0x58193cea, 0x14dc4333, 0x151f88cb, 0x608685ba, 0x2b97fc34, 0x93a6e30c, 0x78b56283,
+    0xbc7f8807, 0x77fe5b74, 0x8bf5f639, 0xd27c7ba8, 0xd125f148, 0xf8529394, 0xa3cc9571, 0xed30d3b0,
+    0xcd946f6d, 0x024b261e, 0xebab118d, 0x8233e1e6, 0x804f3c42, 0x21b00443, 0xddb4f690, 0xd93cc166,
+    0xfa10b4e7, 0xa142a732, 0x5618e0de, 0x0320ba0c, 0x77fa11b4, 0x7c2442fa, 0x60f57626, 0xb3e19b13,
+    0x426e7b40, 0x89cb93ed, 0xd0e39d8a, 0xb0c941b0, 0xec80e86e, 0x7df5526f, 0x7fd12ff7, 0x02d17a5c,
+    0xc6731833, 0x1b9207ff, 0xf2556874, 0xd5d49cda, 0xed4c5de2, 0x4cf826e1, 0xf8b1fc93, 0x71a8de15,
+    0xd462a1fc, 0xfbe5e293, 0x7566a228, 0x64f6110d, 0x4fc07231, 0x0d2aa323, 0x9fb7696c, 0x3e10f2a4,
+    0x67ec3c8d, 0xb9fb4f48, 0x20234d83, 0x4c236c48, 0xb2c96fb7, 0xc2495398, 0xf424f67c, 0xc80b0036,
+    0x77fee15b, 0x0962ea71, 0x1e895e56, 0xaf8c3c36, 0xff8ca64f, 0x4e0987e6, 0x007d12b3, 0x3eb4354d,
+    0xecdbc537, 0xe8ae7b82, 0xe6d74e07, 0xde9a6a1e, 0xee2a8eaf, 0x340ce594, 0x3d10c10b, 0xe342c203,
+    0x6ad0e4d3, 0x8a1531e7, 0x50bdbfbc, 0xb32e4076, 0x35ec8c43, 0x565a0bb1, 0xc06b8ec0, 0xb3e4f1a0,
+    0x825f2716, 0xbe15737b, 0x22a9cff0, 0xed060dbc, 0xf49c7a03, 0x0f9f6153, 0x128eee53, 0xaa9b8a73,
+    0x27965124, 0x30701657, 0x7d7c8218, 0x0172c6fc, 0x8c49552d, 0x2795a154, 0xb5b316fe, 0x2b46e4de,
+    0xaef48c8e, 0x739ad448, 0xdbe89a2e, 0xacfab6e8, 0xf47486c5, 0x01555e8c, 0x78c985dd, 0xe8046f3f,
+    0xef04bc90, 0x9310c1b5, 0xb4df0d79, 0x51c05cd5, 0xb6e0236d, 0x28291e6e, 0x8bc0aebe, 0x0bffb3cc,
+    0xbdbbbcc3, 0x69ca1cb0, 0x09307d64, 0xe888c40d, 0x5e29f338, 0x856c9249, 0x380567aa, 0x5659d71c,
+    0x6f99dc38, 0xb69cec09, 0xd7bfa485, 0x9206a8fb, 0x6a436ec6, 0x2af1e238, 0x80ffab2e, 0x7cbaecbe,
+    0xd73250bf, 0x9cf8cbdd, 0x632bc2c8, 0x4546f04b, 0x61fe20ad, 0xe1bf8ffb, 0x1fec8281, 0x8b00668d,
+    0x06376925, 0xc3af2f50, 0x9711bbff, 0x500c3835, 0xc08e68fc, 0xb9e1ed88, 0x794ed804, 0xd5473c83,
+    0xe9f66415, 0xda3994f6, 0x2ce44e9e, 0x322a5e8b, 0xc0b04016, 0x7ee6dcd1, 0x1f097019, 0x695bd2e4,
+    0xf6d50295, 0x3a8e6daf, 0x00432157, 0x373457cb, 0x3a885af7, 0x9bf05773, 0x3baec309, 0xe635e8a4,
+    0xd87183d2, 0x889ba36c, 0x77a0e583, 0x682e6ff5, 0x30e6a87e, 0x136d59aa, 0xeb4012e5, 0x6c746729,
+    0x0a921699, 0x53592b92, 0x174ad389, 0x19b70523, 0x73bba596, 0x71cb41a1, 0x6859baf0, 0xd0e83fbc,
+    0xcd772c51, 0x1ab94cd2, 0xc4f651e6, 0x32c67354, 0xcba4bc19, 0xb63fb9d7, 0xd16a4932, 0x100a457d,
+    0xd6eb9da8, 0x708d7359, 0xcddbab01, 0x68352524, 0x5f292b1b, 0x99097550, 0x09ddc6a4, 0xb2de39af,
+    0x31a18cce, 0xec3ad8e0, 0x46a767bb, 0x5049a678, 0x11921c5a, 0x07d407dc, 0x4fa0feee, 0x829daee0,
+    0x68d372f9, 0x5fc1bf7c, 0x24cb3d90, 0xb6308ffd, 0x09c2fb04, 0x5d22cd22, 0xdfbd8c30, 0x9ed7356c,
+    0xec0991a6, 0x7f917fa4, 0xd6b6adfa, 0xb9e39cba, 0x8328529c, 0x05b790cb, 0xd18286b6, 0x8a7787b2,
+    0x59cfcb84, 0xdd959d06, 0x9455acb1, 0x8a963c42, 0x97d10a45, 0x56d8c86c, 0xeed0e884, 0xa64c65bb,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000862718293348820473429344482784628181556388621521298319395315527974912 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5b, 0x9254dfde,
+    0x00000000,
+    0x9ac2fca3, 0x8928937e, 0x2cd288f0, 0x70b66fb5, 0x98bc93ab, 0x3a41714c, 0xf7760238, 0x54697df0,
+    0x6b991391, 0xe30f656e, 0xc5314bf3, 0x6b4832ac, 0x941e2ceb, 0xa3d80a73, 0x617acc24, 0x3243a3ed,
+    0xaf922f64, 0xbe42f639, 0x699721d1, 0xdceab45a, 0xde09b31d, 0x45b9385d, 0xa8779fb7, 0x0e79c26c,
+    0x27abe1ff, 0x7392c1d1, 0x9ffa8351, 0x5999c541, 0x2bc3d31d, 0x3934925b, 0x6ad01ce4, 0x2b7c304b,
+    0x05e7e542, 0x44eb7311, 0xa7ee0ca3, 0x006cbdeb, 0xa6dec22e, 0x5a8fb7b5, 0x96edb475, 0x2c59ff7e,
+    0x247ea3e0, 0x96fc777c, 0x504eb148, 0xee6b136e, 0x97dacfc6, 0xcdb92cd3, 0xe99c582a, 0x5562d2c2,
+    0x628b921a, 0x126e6df9, 0xa9c89209, 0xd63b245f, 0x5045a864, 0x484158cd, 0x6aabd093, 0x8c9ea3f6,
+    0x2709868d, 0x8c420b52, 0x00230826, 0x46925006, 0x7f3867e4, 0x372a0b0d, 0x76a886e4, 0x6eaf9ec6,
+    0xa90c4bbc, 0x7f75b583, 0x92ecdbfc, 0x17b8b8d6, 0xfa93a514, 0xaa01f405, 0x6fb635e7, 0x610db28e,
+    0x827f076c, 0x7d8bbe81, 0x99a04cd2, 0x02fe34d3, 0xd1f55fff, 0xfc00c57f, 0x817d6669, 0x6e59c77b,
+    0xf2314443, 0x19cb8200, 0x38cdef72, 0xa5f771de, 0x8b73017a, 0x3f94bad4, 0x0287f1a5, 0x61cc6ed9,
+    0x64a81336, 0x3a18120f, 0xf5a0e289, 0x2998ac28, 0x56f3631a, 0xa9ba9a08, 0xeda3739d, 0xa80ee415,
+    0x372227c1, 0x70c411df, 0xbf12edd6, 0xa9d204d0, 0xcf991849, 0x5f35b158, 0x18030abd, 0xa65c0324,
+    0x79bc890d, 0x3533166b, 0x4460fee6, 0x036a8837, 0x26654ee2, 0x2d46e373, 0x16eadbfc, 0xfe1096b2,
+    0xf50e7410, 0xda185ae2, 0xb7b67451, 0x6fbbf080, 0x2e758d97, 0xc6f13999, 0xb509ceb1, 0xe8442cc1,
+    0xe1f67d02, 0xf7d4c00d, 0x889d7b64, 0xa4fbe762, 0x8f3e43fe, 0x648dfa80, 0xeef933d0, 0x2815dcfa,
+    0x19609bc9, 0x70dfcb19, 0x87e89e2b, 0x24769efb, 0x75d4b7c3, 0xc7f1ab70, 0x4ee5f219, 0xce07044f,
+    0x0d171c11, 0x87c21124, 0x9a6a37c4, 0x077f6d68, 0x19485244, 0x935768ac, 0x518e774d, 0xe37f8d9b,
+    0xf37a9258, 0x431ec3b2, 0x9785ab56, 0x0e564865, 0xb7e798aa, 0x24273aa8, 0x558dcbf7, 0x266edb10,
+    0xa6f00593, 0x2c14e7d1, 0xc29d4778, 0x71342513, 0xf123b60f, 0x544faede, 0x637baeb5, 0x233e5362,
+    0xfb79d4a1, 0xf454cfe9, 0xbd47bcd8, 0x1e07e71b, 0xcf6d9c93, 0x7c39365a, 0x964dd8b5, 0xe1243bf8,
+    0x6659c3e2, 0x4e411c99, 0x14c4cda0, 0x9e046985, 0x7585760e, 0x53e7c9d9, 0xbf1e5eca, 0xec4b7cc4,
+    0x3af38241, 0xa4e99535, 0x95f09745, 0x15bb956a, 0xdbdb5cc0, 0xf6f6b77e, 0x1f69be28, 0x470dec15,
+    0xce860707, 0xffb93924, 0x8ee59348, 0x137b0fe2, 0xd709ad80, 0x562eac94, 0xc7983542, 0xa4447d50,
+    0xb4402e87, 0x7d1b1ca9, 0x56719712, 0x11515062, 0xf709c59d, 0xe004b294, 0x8cb5647e, 0xd8abaae0,
+    0x7500ae08, 0xdc8b2f2d, 0xee13014c, 0x5668b899, 0xf20a6725, 0x3b2b498a, 0x058bffdc, 0x9c7359a2,
+    0xa3ab8634, 0x436fc772, 0x32918a1f, 0x1197cb5d, 0x4cadea0a, 0x55fe8308, 0x55764f75, 0xc935a0f2,
+    0xe2020024, 0x475def2c, 0x40845f52, 0x93f53aab, 0xbc745c01, 0xd550ffc6, 0x37b564a5, 0xb5ac1d40,
+    0xbf1fcf35, 0x4dfc6f9c, 0x08f1d520, 0x8c643aa0, 0x17eb7e58, 0xf86e61d8, 0x4f065b0b, 0xb440aab1,
+    0xa06f0f6a, 0xcdd20777, 0xae6da6ac, 0x8fc299f5, 0x3a11119f, 0xa8aeb04e, 0x35120cf9, 0xdac9fea4,
+    0x2dc0e2b9, 0x6cffa15d, 0xa63e9fe9, 0x82398ea5, 0x1457e570, 0xd26f862a, 0x64728772, 0xe8962260,
+    0x441c56cd, 0x2f3f979a, 0xb538704f, 0xe861828c, 0xd8cb2500, 0x36007286, 0xb32716ae, 0x3faa2f63,
+    0xb9ed2f4e, 0x2af388dd, 0xd093878c, 0xf3e7692a, 0x094b52f1, 0x1ca9b2f1, 0xabe84e59, 0x58881576,
+    0x2d05e55e, 0x87d844b7, 0x0b648a63, 0x69f7271b, 0xf4da0814, 0x6acf76e8, 0xaea0ae33, 0x426f26c8,
+    0x4fa5c47a, 0x8ba1be95, 0x4c6ff4bc, 0x2efead8b, 0x504c0b9b, 0x48abd680, 0x6c267781, 0xeb8cabaf,
+    0xe0f8390b, 0x8d2a388f, 0x9094b424, 0x1f335060, 0xfb58e48b, 0x76857e31, 0x09c8d890, 0xf00b5832,
+    0x260d4af9, 0x7c4cf15b, 0xfb518968, 0x69cff734, 0x8e518b4c, 0x53416187, 0xeec55cf4, 0xcc2a6d93,
+    0x77004889, 0xf2c9fd5f, 0x4ff61597, 0xb3174e19, 0x7ec9acab, 0x3a4cffbd, 0x9992f296, 0x364caa4d,
+    0xf5207933, 0x5e0de5d1, 0xd5fdf152, 0x34341b5c, 0xffbcc8ea, 0xf0dd0649, 0xde1cb18f, 0x2a8effc6,
+    0x7c7bf462, 0x6d06b210, 0xea326db2, 0x78e15739, 0xc1a72262, 0x438cf776, 0xe91a9a18, 0xc4391255,
+    0x8d8fdf16, 0x48ccf7a5, 0x40660467, 0x33f8b3d7, 0xd1472ca1, 0x40a195ef, 0x9db9bf94, 0x8b550259,
+    0x7b5d81a0, 0x3ecde929, 0x09de3d6d, 0x30f55d32, 0x5bddd3f6, 0x22b1b5f1, 0x2837f826, 0x7357b864,
+    0x168bb043, 0xece643d0, 0x0af312e8, 0x07625ed2, 0xd5d8d0e5, 0xda52f52e, 0x33b6672d, 0x0fd120ae,
+    0x2d44f8cf, 0x7015c58e, 0xb55759de, 0xc05bc8e6, 0x43671910, 0x51b72c8b, 0x923109df, 0xa03e73cc,
+    0xffc9448f, 0x4cf48812, 0x698b062b, 0x90a29285, 0x667b560b, 0x539e245c, 0x08e95a6e, 0x8d92fb65,
+    0xc724eec2, 0xcb09fbb2, 0x2731d347, 0xb47516a1, 0x30043e77, 0xe9d4b08c, 0xe09d29aa, 0xba5d8719,
+    0xe6f42d65, 0xec246dd3, 0xa4a0b0a5, 0x0b0ca3b2, 0x25691ac8, 0x6db5654f, 0x8a265c7b, 0xfadd5a4a,
+    0x93b814cb, 0x9e2693ce, 0x5fcf1d16, 0x1d2195c9, 0x8388d103, 0x59fa2c37, 0x5bc14607, 0x19d3cd79,
+    0x185c14de, 0x18d67008, 0x8eafc574, 0xed5e771b, 0x0dc64cae, 0x57d4a322, 0xbc0331f5, 0xafb7c8e0,
+    0xb240bf49, 0x0d156054, 0x14653ba0, 0xb2e7a62c, 0x70a94061, 0x101993dc, 0x6e1ae498, 0x669db850,
+    0x8ff854b0, 0xef47a40f, 0x4d2dbb3b, 0xa95de069, 0xff75494d, 0x74e29bea, 0x2e202cd9, 0xfda7a0f7,
+    0xb8167a6b, 0x69cc5aa0, 0x87682b43, 0x059aa504, 0x0a21c411, 0xf4c82d03, 0x98059168, 0x05ad0a7c,
+    0xb2d3e082, 0x7daa5543, 0xd861bc53, 0x528f867a, 0xd38663fd, 0x9ecca030, 0x7e24c953, 0x22296e7a,
+    0x1cd9f739, 0x4395d7bf, 0x113a8659, 0x2770d83f, 0x8eab63c3, 0x3ce7372a, 0xb2add00a, 0x65a1faeb,
+    0xd7baa144, 0xa484d016, 0x1f9a10e2, 0x92ff339b, 0x55f687bc, 0x6c207826, 0x74fcb12a, 0xe1114cb3,
+    0xb4b60fa2, 0x98bf2718, 0x074248c1, 0xb030e7a2, 0x119bf98f, 0x7ce666db, 0xb23d9265, 0x537ec04c,
+    0x34b546c9, 0xb8233099, 0xd41a4a0d, 0xd5303f4e, 0x36cc8b22, 0x47c8c66e, 0x307c4708, 0x840c09a9,
+    0x9377ee6b, 0x82d79a2a, 0xd53cca59, 0x1356c5ef, 0xd2b46959, 0xbe890b5a, 0x21530c56, 0x56108a8b,
+    0x62c96b16, 0xde7cc82b, 0x6deb74e2, 0xe6a561f3, 0x6f18d62c, 0xe0509e94, 0x64237b3b, 0x1f417d74,
+    0xc33dd6f9, 0x0dccd7a6, 0x1cf83a42, 0x70f96ba4, 0x5472a39c, 0x132aba94, 0x41e8dd9b, 0x991d5fcf,
+    0xffc6af36, 0x8a7b23b4, 0x28795310, 0x75ffcec1, 0x29b5cdf4, 0x7a9404c0, 0x4eac3da8, 0x7c9a57f7,
+    0x4a3c7a74, 0x6349ea1d, 0x8b111d5f, 0x76b195c8, 0x5c56919d, 0x0a37a20d, 0xdad91b34, 0x08d59b10,
+    0x50e98bdc, 0x6a7d6410, 0x4a721f58, 0x79a7fcc9, 0x72a83c54, 0x94cfc20a, 0x00b93468, 0x41f1c1e9,
+    0x6a9d9d95, 0x6e25fc1f, 0x5ac33072, 0x662ddff2, 0x4dbfdf39, 0x29aefc5b, 0x315ce1ca, 0x929860c0,
+    0xb8efced1, 0x675c648d, 0x66858b4d, 0x3d35b27f, 0xf8a3d10b, 0x301054a7, 0x55596b12, 0xd246ca2d,
+    0x0a93452e, 0x57d418b7, 0xb585d28f, 0x835fa7d4, 0xf6d8703d, 0x78f5a8c2, 0x14d0ff3e, 0xbf22398b,
+    0x78070130, 0x54d22912, 0xb8d67bec, 0x492991f6, 0x023b78ca, 0xb8463211, 0x2dd106ab, 0x4e896b03,
+    0x82ef14dc, 0xaca32418, 0x9195aecd, 0xc69a0767, 0x8d083d83, 0x8d155d8a, 0xae18f213, 0x2a4348c5,
+    0xfe4a7051, 0x1aca8d51, 0xd8a8ba96, 0xc6f6abfe, 0x07b197f2, 0xc3433cd8, 0x109b5631, 0xf199f02c,
+    0x76d44900, 0x87bc2dbd, 0xf13937b5, 0x7847a577, 0x1aa4f66f, 0x3253e7a2, 0xea4ece68, 0x08698fa1,
+    0x7f582b43, 0x5b873904, 0x5d3bcc68, 0x2497e9a3, 0x11b468a3, 0x43ffc109, 0x66079cd9, 0xb0a43141,
+    0xe8d77eb8, 0x17e7f837, 0xfd572f64, 0xc39922f0, 0x3fcf73fc, 0x791e2177, 0x59f4c325, 0xde0b74a1,
+    0xe6e7e1a6, 0xc62de02c, 0x7722d398, 0x3081e29f, 0x583fb86d, 0xb2d4db87, 0x5c7cb835, 0xe3335663,
+    0xed04abeb, 0x5de61ea2, 0x3df76555, 0xa022340d, 0x7d6addeb, 0x176ce206, 0xb7995111, 0x07a4b5b9,
+    0xc4a10c21, 0x95fdba0b, 0x49356979, 0x20d64ace, 0x42e78fd3, 0xdbb4a66e, 0xc6ed4e4b, 0x74b73b5d,
+    0xd9dd9e26, 0xf2001f85, 0xd41b1a26, 0x95cc678f, 0xad6273c6, 0xd5541e59, 0x1d775c15, 0xbe949111,
+    0xff77e93f, 0x435670a0, 0xaf4d0be7, 0x77288f13, 0x617682e3, 0xb4498ede, 0x72478a09, 0x147a7839,
+    0x1bf9b168, 0xfbd7f0fd, 0x8fe50a3a, 0x93a6050c, 0xd7b70487, 0xa26fec70, 0xac39569d, 0xa7cb6aeb,
+    0x68d210be, 0x12c71f15, 0xa7b1a61b, 0x0a50e48f, 0x147b811b, 0xb20f1050, 0x9f03c793, 0x21f805c5,
+    0xad185831, 0x2f789193, 0xc639f150, 0x27ec657d, 0x79b8a2c7, 0x41fb7ad6, 0x3103a98b, 0xc677ee1b,
+    0x44ffa937, 0xe3839f02, 0x462f8ea8, 0x07aac013, 0x3615f600, 0x4dd7399d, 0x9c49fea5, 0xdb8c284d,
+    0x6b2de1dc, 0x44f42acc, 0x66426120, 0x14c4d4ba, 0x8ed3dd72, 0x419947d4, 0x80dc8b11, 0xb327b0b5,
+    0x2b617dac, 0x05bd4a47, 0x8ff415e4, 0xb26e5ae6, 0xa414e72a, 0x92da681e, 0xb7a02244, 0x298f1504,
+    0x5667601c, 0x0182b47b, 0xbb376d0a, 0x2915abc1, 0xc1206653, 0x3d0e2b3d, 0x2d176c59, 0x506e1ac6,
+    0x5cef5341, 0x0edc32e4, 0x871cccd9, 0x88052eb8, 0xf4a5f042, 0xb65460c7, 0x23d1aea8, 0x657d99b4,
+    0xdc01a6d8, 0xa2998de5, 0x11b809dc, 0x2acd8b92, 0xe4d1e8b6, 0x0d49c702, 0x31f4b33a, 0xa2a8a028,
+    0xb1250846, 0x7831c89f, 0x16519ae5, 0x3bd0e6c5, 0xaa49a8fd, 0xc8b2bc89, 0x2588c8a6, 0x5c19b535,
+    0x93a4bcaa, 0x3d906ae0, 0xf52303b4, 0x597a5294, 0xcb048d0c, 0x3a190bf4, 0x938e9d61, 0x3fe9d26a,
+    0x50960981, 0xee635165, 0xde0bb4e8, 0x449e4d11, 0x11f50bc5, 0x74251f33, 0x344117d7, 0x7f218ea6,
+    0xb7953890, 0x04ce60a1, 0x0571f1df, 0xdcc8162b, 0x6f75dcdc, 0x9e402fae, 0x9726cf93, 0xdf6c41e7,
+    0x6cee0f67, 0xcc5b1382, 0x15f62aa1, 0x3107b71e, 0x151bc133, 0x80291a08, 0xdafbb716, 0x1c8fdb19,
+    0x000601a8, 0x8fca8628, 0x6775a975, 0x14817a12, 0x363cfdd2, 0x29e7a297, 0x31c53e87, 0x2ea3c5f6,
+    0xd102de64, 0x59f1ad6a, 0x10296ea6, 0x9e0c6fce, 0xbac8a651, 0xa048b36d, 0xf18338b9, 0x5bf3c68e,
+    0xf8f48b8b, 0x518c7d0f, 0x2bffc3fe, 0x8846ca35, 0xb44a1c6c, 0xb0dc4a29, 0x27e734d3, 0x286adc90,
+    0x1b0d7ac9, 0x97308f79, 0x5a3d06df, 0x60ed0418, 0xeccd309e, 0x1c8e2b85, 0x1158294c, 0x23c3c642,
+    0x5a996a38, 0xc163bbc6, 0x81d75ed7, 0xdc07caa5, 0xfa2f117c, 0x983d66f0, 0x839004ba, 0xce0c5689,
+    0x79829044, 0x20fea3a3, 0xf042db00, 0x66acb165, 0x6033e7b4, 0x705736ba, 0x64fc6b0f, 0xe09ade15,
+    0xabe94d46, 0x82dcd101, 0x218f09e0, 0x97b2b069, 0xe4fc6023, 0xdb5475a4, 0x7f017b8c, 0xec4a9145,
+    0xd63e9531, 0xd4b6072a, 0xe07bff33, 0x57dfd9ce, 0xf40da1a4, 0x36579e40, 0xd3a6f9c9, 0xaf9440ed,
+    0xbeef9e3a, 0x52d4f7a9, 0xb95edab1, 0xa03f221c, 0xf32f0d43, 0x38acde56, 0x8c94e6f9, 0x95f2eb97,
+    0x0224ae41, 0xc20549b6, 0x72715c31, 0xf850ecd6, 0x49240aa6, 0x980992bf, 0x6b3fc84f, 0x5c3e84e5,
+    0xccecaeda, 0xd4ee783e, 0xfbe867dd, 0xef3935f9, 0x9dd264c4, 0xd7d2da60, 0x065291ec, 0x685ee0fa,
+    0xb1fe6233, 0x2e57140a, 0x0fd374c3, 0xfc349187, 0xe70b4f88, 0x01810409, 0x5cead941, 0x8b519bf3,
+    0x4ca8d701, 0x88071a13, 0x4ebaa007, 0x4aae50aa, 0x8bd05cee, 0xe9c56c37, 0xb6876fcf, 0x91861e8b,
+    0x38db4bc0, 0x62dbee7f, 0xc1fe8642, 0x90775a50, 0x8ec8c960, 0xaf25464e, 0xbfed5ed4, 0x70017a71,
+    0x16b9b8a0, 0x6cf72725, 0xa64a3674, 0x04ae33ec, 0xf8d9318c, 0xb12f50a2, 0x8f453cda, 0xb353f3a0,
+    0xae77e49e, 0xe18ce96f, 0xbcf539ae, 0x3b47f31b, 0x7cc27eff, 0xcf329272, 0xf16ec71b, 0xa6ff7b57,
+    0x22b6405d, 0x27e9a65e, 0x82c497a9, 0xf3f733b1, 0xb5bad05c, 0x3ea9df8a, 0xfad736fe, 0x103ff4a5,
+    0x03f8c430, 0x1426ff81, 0xc9dd45fe, 0xbe77a0c7, 0xd5d44575, 0xcf6946b9, 0x25b7272c, 0x7ffc1f95,
+    0x2b767f5e, 0x19a51584, 0x5067683f, 0xce44c159, 0x3ecf0863, 0x25b432eb, 0x18148608, 0xe87743f7,
+    0xb038e36d, 0x29356631, 0xc5062076, 0x58b4965c, 0x2c829d1c, 0xa8f0a5b1, 0x823f3df0, 0x6afab9b2,
+    0x97fdaa6a, 0x605560ab, 0x7dc1d618, 0x41a34c09, 0x8d3e7458, 0xb10c6e11, 0x499bbe15, 0xf2acd2a2,
+    0x14474cd6, 0x487a9ca3, 0x2fc22e1b, 0x2b7b2523, 0x5e9dd357, 0xc1114bbc, 0x105c11d5, 0x9e779e69,
+    0x7d2a1271, 0x72e732b8, 0xb3b8c932, 0xe3a95fe3, 0xf650010d, 0x9bdd1b45, 0x582950f0, 0x67f0e65b,
+    0x29d24782, 0x8b99fe21, 0x70c29a85, 0xc7c691ec, 0xd8dd7b9b, 0xdc9bdef3, 0x0d02d383, 0xc5b5ca0e,
+    0x1cc35924, 0x87d639f9, 0x0c45e563, 0x76e52294, 0x08f4996a, 0x389f3f3e, 0xc7a8d2c6, 0x6f9572f5,
+    0xeec4c1c0, 0x3f2eb1e5, 0x843993a5, 0x7a2bed72, 0xa5a5c982, 0xa542bb71, 0xd7acef64, 0x11d82ff8,
+    0x71fdc079, 0x0e828d00, 0xae8de791, 0xbeb13b33, 0x52577be0, 0x329cd9a5, 0x5e120de8, 0x3d97291e,
+    0xf7a514b0, 0x47e71a81, 0xc89352f9, 0xe5140282, 0x80c32a57, 0x7144a898, 0x05b972c1, 0x8649f471,
+    0x926d1075, 0xdc6de976, 0x3c4086f2, 0xd5255ad1, 0x330b5bb6, 0xdfaf0326, 0x4c36b9c3, 0x6ecb80ad,
+    0xe9b26a33, 0xd76f39f5, 0x6a4d3fe3, 0x0e9cb61e, 0x198d88ff, 0xf93261a9, 0x76778881, 0xd579e900,
+    0xad188c01, 0x3a8377db, 0x56bfbefc, 0x4f1a287f, 0x17899028, 0x52f3a131, 0xbdf9c739, 0x0ae2c09f,
+    0x39983d2d, 0x79013261, 0xc30eb796, 0xbc75cca0, 0x825be835, 0x9db4115b, 0xe4069034, 0x45c76129,
+    0x73d5bff7, 0x30729a4b, 0x4d28376b, 0x2672e77e, 0xa43961a6, 0x6a410a08, 0x2633600b, 0xec585a05,
+    0xecc35396, 0x9372ecf3, 0x11050f66, 0x3bfc1d1b, 0x478f9614, 0xfc2d7571, 0xf4fe98c3, 0xfb396bf0,
+    0xc240fccc, 0xfddc1745, 0xebc24586, 0x139b86a4, 0xd0590e61, 0xe8cf5bfe, 0xe35279e0, 0xc0649e57,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000431359146674410236714672241392314090778194310760649159697657763987456 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562d, 0xc92a6fee,
+    0x00000000,
+    0xc70b9171, 0x05aba638, 0x3dc5391a, 0xf4802b94, 0x5554a0af, 0xbf68c9c2, 0x323e04b9, 0x5028e82b,
+    0xa9c1d31c, 0x3c862bb1, 0x5419322e, 0xdb62563c, 0x35edc83d, 0xacd08004, 0x618682e1, 0x99bf3ed2,
+    0x930dcf7f, 0xd5586ae2, 0xb90b937e, 0x26fc1dce, 0x46e309c3, 0xd794df18, 0x0c649118, 0x760d0cfe,
+    0x1b2da59a, 0x40793761, 0x942efdbb, 0x6a54770a, 0xf56a98c4, 0xb7f7c5d5, 0x86372700, 0x9e84bf28,
+    0xaaaa25c9, 0xb927ddbf, 0x65ffd8d1, 0x60e58bbf, 0x28d882dd, 0x4b9a75b9, 0x7af9781f, 0x33f9822c,
+    0xe9d25df0, 0x6efdf875, 0xeb439f0a, 0x7550b987, 0xd91358f6, 0xd22a6a54, 0xeac02397, 0x45c7e5dc,
+    0x811b98f2, 0x292d34e0, 0x0a97f881, 0x1b0d6f68, 0x2ced75ce, 0xf441fa3f, 0xfe5da8bc, 0x3ac87000,
+    0x8fa0eb0a, 0x388d4c67, 0x91e156ec, 0x0527657f, 0x7f3c56ca, 0x92430314, 0x884c29ca, 0x6152226d,
+    0x077d5769, 0x1819a1c9, 0xf9ecc455, 0x8ac9a1ef, 0x3022aee9, 0x3d532572, 0x3403f800, 0x14050d00,
+    0x5b55612e, 0xba102c12, 0xdaaeca0f, 0xb05ea823, 0x68d8fc6a, 0x086c6165, 0xe735a6f3, 0x1fbe12cc,
+    0x843ebc55, 0xb9c59308, 0xcffcc42e, 0x901068b1, 0x3883b665, 0xd7e0a7b1, 0x64ad70f4, 0xce22876c,
+    0xd9891853, 0xaafa30d8, 0xb9e1eec9, 0xdf5df707, 0x9ead30b5, 0x19455c9f, 0xd312a72f, 0x9b0e2219,
+    0xaa3a8280, 0x8b62d92a, 0x9625c4cb, 0xf7635da9, 0x689178b9, 0x99ef78b2, 0x5736c25a, 0x9379efbe,
+    0xd7ec862f, 0x728f14e1, 0xe0337a79, 0x02a97003, 0x5243c98a, 0x565e6788, 0x706a0ce2, 0x3aad5d41,
+    0x62ef124a, 0x56c387ab, 0x25afbdea, 0x6e2b560a, 0xd90ed02e, 0x0caf237c, 0xa63078e3, 0x78672de6,
+    0xbafe64ef, 0x109f2c7d, 0x39b702d8, 0xbe700896, 0x6eef5195, 0x622c9e54, 0xfaa5e7ce, 0x00962913,
+    0xebad6dd4, 0x1b9c7719, 0xfb32a798, 0xe4b4e2bb, 0xca789ade, 0xab56fb98, 0x7b4e6260, 0xacdb582f,
+    0xb8ffc249, 0x2603c5fc, 0x9b753f36, 0xa67c0281, 0x06defa24, 0x804aaf3f, 0xf2c90fd3, 0x11ad5601,
+    0x68ab86b6, 0xafdee313, 0x1da3eb47, 0x5acc282e, 0xb84bfcab, 0xd793c5d8, 0xab53ef87, 0x8eb40b8d,
+    0x5a492882, 0xa7d124c8, 0x4257f650, 0xd2892b08, 0x29de2e11, 0x0727ee28, 0xc6f792f6, 0xf7c999da,
+    0xb2ba03b9, 0x59fe1962, 0x51f31abc, 0xfb8726f1, 0x97ad4ad6, 0x23a147b0, 0xc975a80c, 0xe8e196f6,
+    0x11e61edd, 0xba532ed3, 0x628ac0f5, 0x4ed11a0c, 0xe501a1fc, 0x83d702be, 0x2bd020a2, 0xea207cb2,
+    0x798bb242, 0x5a8382b6, 0x3ee3c7b8, 0x78938eb8, 0x4dab25bc, 0xa153590d, 0xb40874c9, 0xa29a94b8,
+    0x9cbe5527, 0x40289c53, 0x704bd937, 0x67be3f6b, 0x56610858, 0xc1797411, 0xd72ed5a3, 0xc56e48ed,
+    0x9f6d7f58, 0x7f5d8a1b, 0x39203257, 0xc1b545aa, 0x47ff3111, 0x884fccfb, 0xd86cdf3c, 0xa42fc8f4,
+    0xabd38ed8, 0x8ce37c9e, 0xaa0e35bf, 0xa880278f, 0xec5a614e, 0xd42868bd, 0xa62fa93b, 0xedc2db03,
+    0x22b07a79, 0xea8b099f, 0x160dbf53, 0xb0c18b15, 0x75c8b7e2, 0x6952907b, 0xf747f527, 0xeac16d4f,
+    0xe988f698, 0x2e8e2b9d, 0xf537130d, 0x52fd4120, 0x3a6aa7ee, 0x0e6e6963, 0xca81d361, 0x1c166395,
+    0xe9024ebd, 0x5af83573, 0xddf68952, 0x90a4666b, 0xc3766bcb, 0xd969d0eb, 0x768b7c6c, 0x3c9dd3a0,
+    0x09075d24, 0x64234169, 0x47e55e2b, 0x4a6056bc, 0x2df8f65d, 0xe342c310, 0xb740a9aa, 0xe3ab955a,
+    0xa703298b, 0xc46bc9e5, 0x765b5238, 0xc021bc8a, 0x243de199, 0x9ca3a2ae, 0x4ceb3fcf, 0xd8a33015,
+    0x16af476e, 0xd2a02795, 0xdff0f1b0, 0x90be97a5, 0x2d0ce1f2, 0x14471bf0, 0x6501e6b2, 0x6f4fd57f,
+    0xf2049ebd, 0xfe566ee2, 0x7d0f6a36, 0x8f74935f, 0x1c6c9b69, 0x0369b6ad, 0x681b67d1, 0xdb9c1a43,
+    0x7ad722a0, 0x34b5bd9b, 0xd9eac235, 0xca3b1fac, 0x5c960b6b, 0xf6bbecae, 0x1a459825, 0x06194ecf,
+    0x4f8adb66, 0x638decb9, 0x958b56d0, 0xd4b8ffa6, 0x545a0b57, 0xe224b6e6, 0xd78e9456, 0x3a5fa7d1,
+    0xe6054534, 0x452bcc84, 0xf2e4222b, 0xb99bc5d6, 0xc8840759, 0x96f2d371, 0x7330a27f, 0xc3c3ad9a,
+    0x104b8e78, 0x912e8413, 0x6df3bacc, 0xba7a0c94, 0x679572ad, 0xd0da66c0, 0xa503128b, 0x73260686,
+    0x8469faab, 0x599eb127, 0x5cf4d6c6, 0x14317982, 0xb75d3b97, 0x9e98647a, 0x5f734d87, 0x6a614f7b,
+    0x05f1bf42, 0xfb69b366, 0x2cf1f6d9, 0x67c973b9, 0x975361ad, 0xfc3a9457, 0xa43b3b4c, 0x22aafa1b,
+    0x54bf25c6, 0x1e4066b1, 0x92034176, 0x6b6ae194, 0xe61b2fe9, 0x454f0f48, 0xe447a2d1, 0x87ebe03f,
+    0x49f2d2f8, 0x5c20d87a, 0xfe610034, 0x3a298cfa, 0x321f2b18, 0xefa98421, 0xb4654ebd, 0x2876d81e,
+    0x26318f44, 0x38443e5c, 0x27147332, 0x80a1be8c, 0x75ebaa78, 0x572bc45b, 0xb97fff59, 0x1f6b495a,
+    0xbc6453cb, 0x70a040da, 0x76165191, 0x99318d13, 0xe4cc5a02, 0xdaf0bb50, 0xe4f6be1a, 0xef7d0c81,
+    0xda23fa5e, 0x75d0cd83, 0xd9ee5513, 0xb2ddbe80, 0x63400ec7, 0xbe004e9c, 0x1bda4ff6, 0x2a4064eb,
+    0x2fdac418, 0x74e7d02e, 0x89a3c4ba, 0x7e943e1d, 0xfb977150, 0x97098a3b, 0x8829e906, 0xf9c5197b,
+    0xb3952659, 0xded434dc, 0x5d759a07, 0x6c195266, 0x5ff41fd0, 0xc1f7a55a, 0x85573ca6, 0x9022f71d,
+    0xae0d865e, 0xbd85b13f, 0x3cf67f46, 0x07d6bc48, 0x3a4da141, 0x98fbf178, 0x1872243c, 0x7a8f0002,
+    0x7d4fbb90, 0x6d6af301, 0xe83fa37e, 0xc5d8d348, 0x5d3fef8b, 0xbd549232, 0xef7b7a82, 0xdbd1fdc7,
+    0x81af98d6, 0xa42de853, 0xf75dd691, 0xa89160aa, 0xce0b411a, 0xbda31055, 0x0e163dd9, 0xde489da6,
+    0xd39c2649, 0x0155d4ce, 0x6524af1c, 0x29278612, 0x466276ae, 0x90bd685d, 0x5c4e77ff, 0xff8ceb49,
+    0x81589b50, 0xc1b10b23, 0x8d7c5bbe, 0x003705cf, 0x4ef7cb37, 0x92c5b807, 0xbcd00265, 0x8e3e7b5d,
+    0x01de2b21, 0x224333da, 0x430a38e8, 0xcab8d56d, 0xd5d51193, 0x66407fa5, 0xf9d715f1, 0x043a2b1c,
+    0xf571b5ba, 0x5869f7e3, 0x4d7c65c3, 0xf2372548, 0x96b827fc, 0x30478ab4, 0x02d05635, 0x24dd8444,
+    0xb7332373, 0x9546cfa1, 0x7edb92d9, 0xb0ab46bf, 0xd225d7c2, 0xb27378f3, 0x8a9adcd2, 0x54e8f5f3,
+    0xb03f01a2, 0xab14e405, 0x4fa8a883, 0xa28c5894, 0xb9e1d97b, 0x8afd41fc, 0x57988b65, 0x7c1de358,
+    0x1b35bdb4, 0x77351b3d, 0x9310360e, 0xd62f1420, 0xceb6b62f, 0x5708fe71, 0x42c3c871, 0xbe1ee37b,
+    0xd233bf34, 0x2a91d61d, 0x6b68423e, 0x8e53164a, 0xf585aaa9, 0x3a90d1e0, 0x907fa3a8, 0x4b699081,
+    0x775a8bda, 0xbed78429, 0x69e4a6c8, 0x4be40566, 0x0a917ebb, 0x30125ed5, 0xe0ee8aec, 0x0ed0a9c8,
+    0xa9381b22, 0xb3dbb3ab, 0x3802442e, 0x1c7aabee, 0x58e87810, 0xd2b08296, 0x91e238cb, 0xbc331006,
+    0x22b35493, 0xb9c6ba44, 0xa11c389a, 0xf96732d0, 0x14f88998, 0xdf530a2b, 0xecbe37c4, 0xcfd03956,
+    0x28b8c0a3, 0x3a62cab4, 0xc8af4696, 0xe1fbfec2, 0x2426cb55, 0x1c840059, 0xa62a3f03, 0x696d12ff,
+    0xc348dfdb, 0xf070d17e, 0x1a267169, 0x4b7c073f, 0x181d5b9e, 0xf34cfe71, 0x2effb54a, 0x654da0d2,
+    0xb7f8ca82, 0xddb8ef2b, 0x9bbdbdd5, 0xfcbee539, 0x8385c986, 0x9e6b8098, 0x6c79b79a, 0x75e205d5,
+    0x83808c86, 0xf8dd6fdb, 0x6a8156c5, 0x0f1a7fb6, 0x05d67cf0, 0x4fa6125a, 0x08822222, 0x6e007179,
+    0x70d820b9, 0x7f00e418, 0x01ea69d0, 0x035f8dad, 0x157f4ccc, 0xc569e527, 0xd015eeb4, 0x9e39e7e2,
+    0x71384084, 0x9d0bdda6, 0xc285168b, 0xa91ac969, 0x36ebde0d, 0x9511c5cc, 0xf59bed85, 0x4640551d,
+    0x686f8f57, 0x8a85320b, 0xade30e99, 0x1f68abe2, 0x7bbbc04c, 0x6e9f9532, 0x54b16f9b, 0x30a62b55,
+    0x6174778e, 0x69a3024b, 0x525d7030, 0xef56236c, 0x051a3bae, 0xf8a9a26e, 0x8eff98c9, 0x13d95a0f,
+    0x86ee09ce, 0xe60a7744, 0x1a1f2dc1, 0xc424c09f, 0x16a970e0, 0x29dc5a85, 0x47b35fbc, 0x24b98255,
+    0xdd460083, 0x32fdd260, 0x742f51cc, 0x33bf6807, 0xc516ce3b, 0xbcaeab20, 0x2f1bca1f, 0x216bae46,
+    0x0bf99182, 0x28ee8548, 0xd71f9d7e, 0x398339dd, 0xae70f159, 0x86792a2a, 0x95134674, 0x1cef48a8,
+    0x6a643151, 0xf611bce2, 0x2959bb10, 0xd3b0ff09, 0x4fa84cb4, 0xffa06782, 0x91e80ba0, 0x46893fc1,
+    0x11eb1ade, 0xdacd0d6c, 0xa1a9386b, 0xf37274dc, 0x5fde884f, 0x0e14b4f6, 0x966c655e, 0x6866a61d,
+    0x3d63f22c, 0x6be29576, 0x63f1af30, 0x5d10bc95, 0x31333c39, 0xe45f285b, 0x7f3ea0d4, 0xfc2cab46,
+    0x2b43ddeb, 0x4d493c1d, 0x20ebbf6e, 0x65970e46, 0x126ce697, 0x7440c29d, 0x3d6a709d, 0x53662ec4,
+    0xba14b8be, 0x8bb08901, 0x2738cdf0, 0xaab4f6b9, 0x00b1e588, 0x4ba95436, 0x1d030b5b, 0xc974c2cf,
+    0x9c20af31, 0x9f5f6be7, 0xb1c6bb34, 0xa2a52419, 0x7d838a3f, 0x476b8c49, 0x2f58b3ec, 0x42e95ee5,
+    0xf60a5aec, 0x807fd116, 0x54cb2bca, 0xc7e09711, 0x2bf4bd51, 0x976bdbe8, 0xe81a7d52, 0x9064a516,
+    0x9b8f90e6, 0x3d8b8ba5, 0x59654b7c, 0x7c8dcc5a, 0x20aa4e8f, 0x60881dad, 0x498389fa, 0xb29ce673,
+    0x4bd75e8b, 0x832a8d96, 0x896ad114, 0x59721f19, 0x5ad17a55, 0x86d44e34, 0x74d07384, 0xb3be22a8,
+    0x11bceb71, 0x8cd30b0d, 0xe09481ff, 0xbf6b8785, 0xe5a6306b, 0xbf2f7fa6, 0xd4c1f2e6, 0x0511b849,
+    0x97b69782, 0x0deec297, 0xbf54e77d, 0xbe267581, 0x29bce305, 0x0097b8bd, 0x33ff4c91, 0xa510b78e,
+    0xcc1dc52e, 0xdcf94195, 0x1cc58cc9, 0xf836938c, 0x83e28457, 0xc2f1b213, 0xd46c8601, 0xfc64c0e9,
+    0xe2cf39b7, 0xb4db8d86, 0xbaca764b, 0x156c8f7a, 0x515dce68, 0x0b2e878a, 0x6baf7b68, 0xcf47fc61,
+    0xae73e8cb, 0xf230e364, 0x89aafa62, 0x2b6e36a6, 0x1d1a0a72, 0xa3bdbec3, 0x3103158b, 0x5c65d66f,
+    0x11994088, 0x2a7dfc86, 0x85b9a93a, 0xf84ac7ea, 0x3083509d, 0xfb9863c9, 0x7178e3c9, 0x3e2f05db,
+    0xb559e695, 0xbc3b08c9, 0x13c3d226, 0x5704654c, 0x7adcc2be, 0xa48c0734, 0xec458d08, 0xeda08eeb,
+    0x71dd0d16, 0x97bf264f, 0xb3f0cc45, 0x21cde0b9, 0xb03793d9, 0x666c1be9, 0x83dc3f26, 0x7b67c49f,
+    0x36192e23, 0xad8905ac, 0x43c36921, 0xe262e8eb, 0x4098b97c, 0xa4fe77ed, 0x8c444ae6, 0x03a3ac7a,
+    0xe481dda1, 0x1aac32f9, 0xb644b0ef, 0x5c3f7eae, 0x81af250a, 0x3f912a0b, 0xf3e97f5f, 0x3ca58e9c,
+    0x629c27ef, 0xc7e3985e, 0xca297b47, 0xabb5ff84, 0xd44259b6, 0x7e6f9548, 0x0129e9a8, 0x96821d24,
+    0x72692809, 0x02ecee98, 0x6879cfee, 0x52ab91aa, 0x38ea6558, 0x724e2ecd, 0xcd82a8fc, 0xdf79cb74,
+    0x227d2f7b, 0x09929470, 0x6af6e510, 0x319246ee, 0xfddfabe2, 0x909116a4, 0x0d19b5e4, 0x6976a703,
+    0x29ca52b0, 0xf77a907d, 0xf0b5ee52, 0xc06eafd6, 0x45e9a6e8, 0x785a84ef, 0x1344a2c4, 0x89e4d8b0,
+    0xed98d256, 0x8e2a55e3, 0xc32f34f9, 0x162d6677, 0x38213e93, 0xa8cf3641, 0x34004b3d, 0xecb466c6,
+    0xa673b69b, 0x5cc4f00b, 0x7660635c, 0x39a6f526, 0x3996817f, 0xdb55ed2e, 0x2c875ce6, 0xcb879e2f,
+    0x1e451309, 0xb62279b4, 0xae6d58e3, 0x4e04a5ce, 0x0e793a47, 0x8041700d, 0x889fd391, 0xb49d64aa,
+    0x1c5b30a3, 0xe29bcade, 0x09569e25, 0xe688b686, 0x6465e81b, 0x97405e90, 0xf9493112, 0xa12df222,
+    0x4f8e0afe, 0x6637b795, 0x7a6d3b15, 0x8be8dade, 0xeef6f991, 0x5de45804, 0x0b61f356, 0x96f51a33,
+    0x463f5452, 0xd8222fce, 0xe031c3b3, 0xd39d98bc, 0xaef64c2e, 0x86f55c63, 0xc3b94d89, 0x229530ea,
+    0x8b3dfdaa, 0xfd102176, 0x5b75a702, 0xd672c8cb, 0x07f0d7ea, 0x471cb649, 0x764865d9, 0x3a39a5de,
+    0xcb671e57, 0xbbb54b56, 0x8d8c5b69, 0x71107c2d, 0x80effbb3, 0xaae3517f, 0x09ba6f38, 0xb3451c6c,
+    0x46541d14, 0xe7e3b4c2, 0xd62ef5a4, 0xb0f56106, 0x4ccbb7db, 0x7b4fb0f3, 0x6658f2ad, 0x315e1d49,
+    0x26ba3950, 0xbc55ee68, 0x46366d03, 0x4a91a36f, 0x2efc2e35, 0x221655af, 0xcd2c9992, 0x133e327d,
+    0x89240b24, 0x0d6eab6a, 0x1f61de45, 0xc55c467f, 0xba4991af, 0xe0637a6b, 0x6726015a, 0xbede573e,
+    0x1a38e7dd, 0xaef8cff6, 0xedbf6e2d, 0xec5b2e93, 0xb9b0ecce, 0xf4d8235c, 0xfb5cffbe, 0x39337cfa,
+    0x69b9a3e4, 0x6de3cffe, 0x393c332a, 0x98a711da, 0x56a73797, 0x74f930cf, 0x4e39a409, 0x37461c5d,
+    0x6a6555e9, 0x8076044d, 0x782208ef, 0x9235d3c9, 0x5610212f, 0x317e6621, 0xfcc64ad5, 0x8c7b9de4,
+    0x0182420c, 0x505397bf, 0x6284f96f, 0x2a53e649, 0x1ab328da, 0xabe07bc5, 0xf2ff5c56, 0x29482ddb,
+    0x481e6716, 0x1ef4b95f, 0x005a9803, 0x43c07abb, 0xe35521d4, 0x23561741, 0x8b8c5ac6, 0x7819bb70,
+    0xcd4ddb61, 0x5b667a25, 0xd082011e, 0x9cf48a38, 0x03de38f3, 0xf2eb2645, 0x17a20bad, 0x599fe1f5,
+    0x6539ef14, 0xa45742cc, 0x984c691c, 0x5c353550, 0xad5e5e5d, 0x68c8c9d8, 0xa65b9496, 0x885cf28a,
+    0xe39b2288, 0x6bd03479, 0xe73dbbcb, 0x60970ebb, 0xb0068071, 0x1583a881, 0xd4d04d05, 0xb8ee4b7c,
+    0x9783fa05, 0x193d1d30, 0x54963e4d, 0x5c1c6a97, 0xe89845f3, 0x1ee36ba1, 0x9e172c3a, 0xf4a7b15c,
+    0xdf7b50a1, 0xa4efdf87, 0xce19d283, 0xe08d132b, 0x86310fff, 0x59d9ec65, 0x68f7bddf, 0x3fd8618e,
+    0xe0ec72ca, 0x3f609aeb, 0x25f00b91, 0x71710826, 0xa2984760, 0x31e4e552, 0x9b65deff, 0x898f0b1d,
+    0x4109eecf, 0xab4c5e4a, 0x806064a0, 0xb8f948fa, 0x8ed4c697, 0x5494961f, 0xea05d199, 0x3744cc86,
+    0x80e76a28, 0xa887fb9b, 0x7eda17d6, 0x53d0ffe8, 0xacb6603a, 0x8750b14b, 0xeb057362, 0xbd4bfab8,
+    0xf3773e70, 0x26acfb87, 0xeedb1883, 0xc77d5e8d, 0xa5e8d8bf, 0x37567d2d, 0x7049faea, 0xe53e04e6,
+    0xd7a314c9, 0xb4a95db4, 0x972f4071, 0xf8eb6134, 0xc65c3d68, 0x11961107, 0xd127de2c, 0xeeb5bb68,
+    0x5d91f859, 0xb3359827, 0x3e9e99ad, 0x5f1c3170, 0xbb2a43ee, 0xa92e8637, 0x3edf9c1f, 0xf837f5fb,
+    0x7e777047, 0xbd244bc2, 0x3387b36e, 0xd65cd1e1, 0xe5bd8d00, 0x1387dadf, 0xa8fef700, 0xf9f05d96,
+    0x2efc72eb, 0xacff41bf, 0x72daa41e, 0xa3e4fb9e, 0x13618235, 0xf6d9ffac, 0xc269542d, 0x05c4b982,
+    0xe326cd95, 0x6cb54c7b, 0x8985c1ee, 0x901c3011, 0xd73ede94, 0xe6f8e347, 0x4b9b1e98, 0x890a210f,
+    0x0f3b0eee, 0x55e7ecee, 0xf8fb6aa9, 0xdeeac614, 0xdec1353b, 0xe4b0c1bb, 0xb03edfde, 0xc72ec9d6,
+    0xb6b94693, 0x942b3066, 0x25ca3844, 0xfe3ced16, 0xb57b72fe, 0xf60e7e6e, 0x4cc20189, 0x9f7d7c27,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000215679573337205118357336120696157045389097155380324579848828881993728 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b16, 0xe49537f6,
+    0x00000000,
+    0xe1bbc023, 0xb35f967d, 0x6b82e163, 0xdaef6d68, 0x1edf2fa4, 0x2b1555a1, 0xe68d14cd, 0x25940be0,
+    0x53a7cc96, 0x161f4685, 0x67b03b05, 0xabb7875e, 0x164ae469, 0x1b32faca, 0x12e13d87, 0x2bce5202,
+    0x1542f15b, 0x2379dd0f, 0x21f7344d, 0xc3eb76c4, 0xb935ec53, 0x943d7e31, 0x82c306b6, 0x594b7730,
+    0x5e12177b, 0x21d0de1e, 0x446fc7e9, 0x42b79962, 0x26b4bb81, 0xa0710956, 0x4c789a95, 0x5c157a6c,
+    0xceac69d3, 0x5633427e, 0xeddb85cd, 0x56243034, 0xfbe134dc, 0x7fcf2ea4, 0xece17a76, 0x9649e7db,
+    0xa2ae2597, 0x3037a1fc, 0x54c5284a, 0x182fc0fa, 0xe6da3e4f, 0xdac26572, 0x939cdd91, 0xe4868a81,
+    0x4af1d9aa, 0xc13ea2ca, 0x3242ad75, 0x5b2583da, 0xd4aa9cd4, 0x34c02c09, 0x7a6995db, 0x379ed813,
+    0x0d58381f, 0x1435c582, 0xc63c42fb, 0x76245524, 0xae3d6b5a, 0x325c843f, 0xc040fe04, 0x92d84acf,
+    0xa3f4deeb, 0x8bbfd9cb, 0xf3b0422d, 0x1fbf28c1, 0xee619280, 0x02c0d0ab, 0x18871227, 0x2443c967,
+    0xe566ece0, 0x628d04f5, 0x0c18740d, 0x111d84ef, 0xf39226d8, 0x8a07e16c, 0x09640821, 0xd4ebc536,
+    0xcd63e900, 0x646124f4, 0x4cf091ce, 0x47f118aa, 0x7922257f, 0x78864d3b, 0x31b6b338, 0x60c98ec9,
+    0x421fd13c, 0xaab13889, 0x84f53e2c, 0x95cea204, 0x36fbd0c0, 0x777fde5f, 0x7580597a, 0xc55b69a7,
+    0x4694831a, 0x28f1af1d, 0x3647c18f, 0xd1f17589, 0x42e23ce0, 0x4d0967f9, 0x61d60749, 0x980457a4,
+    0x1d5ee9cf, 0x8c718785, 0x12c8e9b8, 0xef6179f6, 0x4203f00e, 0x1bcfd9e5, 0x1a9c1f64, 0x003969ba,
+    0x973568df, 0xbee0b27f, 0x08d525b0, 0xc93fbc9f, 0xce1b009e, 0x7ac5083c, 0x3cc2b23c, 0xbb5f0e01,
+    0x266c156b, 0xe95b1c21, 0xf9bb87be, 0xb539eb59, 0xbd424e38, 0x50b5f40e, 0x61931ea1, 0x671922de,
+    0xdd3c978d, 0x3660fa1b, 0x2bcf9ffa, 0x32eb1a54, 0xc75879b7, 0x383f9789, 0x6d6b32c0, 0xed7e1588,
+    0xa4db22c9, 0x6e083c8f, 0x37ab2d71, 0xcef2eacf, 0x238f8bc7, 0xb35be787, 0x3b948c42, 0x236533b2,
+    0x2d06d74a, 0x3ff1953d, 0x903992a2, 0xc391341b, 0x12b67151, 0x65310548, 0xa94ea195, 0xe08de315,
+    0x624418dd, 0xed1010da, 0x8e025139, 0xc713c21f, 0x95f7b5ff, 0xe63583d9, 0x68a7424b, 0xda8d814c,
+    0x1e8ca242, 0xb9c9ceda, 0x8391aa1e, 0xbd0d089f, 0xa22be4e6, 0x93f5f7aa, 0x253e781e, 0xb83fecce,
+    0x8507791e, 0x7fa4e66b, 0x851f9a76, 0xd4820f56, 0x5a6b2b9b, 0xa7484382, 0x69402c44, 0x7fc457af,
+    0x11480495, 0x5e71f12c, 0x0fb8bbfe, 0xcec282ff, 0x3a3d1a79, 0xe455f688, 0xf866b01e, 0xfea89ac7,
+    0xe412edc8, 0xcb3e47b0, 0x16b14481, 0x27c016f9, 0x6b87869f, 0x1f1d3f07, 0xbf500986, 0xd3fd8017,
+    0x47a46b98, 0xa96a793f, 0xb7b557a1, 0x924933c4, 0x7ce5ada0, 0xc21bf27e, 0x4abcfa75, 0xeb10d124,
+    0xcdd4e1a7, 0x89b0dfb6, 0x75b2f738, 0x5a2a7092, 0x7d9b8d3f, 0x3737ff50, 0xc09e984c, 0xec5e638c,
+    0xb676161d, 0x8ad65a01, 0xe4799fe5, 0x6e8e63d4, 0xeb9ee32b, 0x4bb5c4ad, 0x5254ae73, 0xef1ebb2c,
+    0xe0826052, 0x26e87266, 0xd5b2ba5e, 0xba2896a9, 0x0f53506a, 0x33c2b65d, 0x58b44ba8, 0xb41a162c,
+    0xbbf381c1, 0x9862660e, 0x720e018a, 0x9c2ca63c, 0xd429aafe, 0xbb28dd1c, 0xc02d4478, 0xf3c94b3b,
+    0x7ed7ef73, 0x2c8665bf, 0x20b7c8d8, 0xe6ec4163, 0xd8997f1f, 0xfdd52276, 0x7a4b1abb, 0xe7d0dbcb,
+    0xac72274c, 0xb932fd98, 0x344e870c, 0xc4212f76, 0x5c72d167, 0x0fba7086, 0x1af78142, 0x2214f53d,
+    0x7d4d5073, 0x049c6f94, 0x7d54c009, 0x56c040b8, 0x082dbba4, 0xa7a4f81c, 0xc6fec021, 0x84ce041e,
+    0x4a07f287, 0x6b90131d, 0x943cfb46, 0x84a25b53, 0x8027d37d, 0xc499db66, 0x98cfd26c, 0x57996b8a,
+    0x39e96483, 0x9619a077, 0xada8912d, 0x56cffbc7, 0xc8446c94, 0x4e2e10f2, 0x6f691058, 0x946f5e04,
+    0x4c6c7ab4, 0x12f85392, 0xa9182a31, 0xf6188e58, 0xa4933f41, 0x89ca5120, 0x30a0614e, 0x312578f8,
+    0x4489b43d, 0x2eeaf9ab, 0xcb356b82, 0xca9cdf26, 0xa117de73, 0x6673dc4a, 0x9f8c8b92, 0x098d4443,
+    0x29fb9f27, 0x722543f5, 0x4543fd3a, 0x45d0e0a4, 0x0404d1de, 0x4faf637c, 0xd3e6d44f, 0xe4947f6c,
+    0x97f2a5dd, 0x7ea4def3, 0x29a04055, 0x3a488819, 0xa66ce756, 0x525f2474, 0x05c48837, 0x4b314be0,
+    0x00028c85, 0x41a77acf, 0x71c40b88, 0x55f5e29e, 0xa1dad72d, 0x315b9444, 0x6f4f2b8a, 0x57d91985,
+    0x97c79539, 0xfada2504, 0xae7fd1e6, 0x6043650a, 0xbfe64040, 0x5babdaf5, 0xc500aea1, 0x32599e4b,
+    0x3115b263, 0x7495a3a5, 0x415cb984, 0xf7d4e084, 0xa9e72e33, 0x26767e3d, 0x14bd846c, 0x08e7d072,
+    0xc4d224d1, 0x8ad372f9, 0x8c8d7658, 0x622d069e, 0x713d8448, 0x200b36e6, 0x2ca421e6, 0xf16c6e2c,
+    0x445dc514, 0x2eb661d3, 0x3761e381, 0x3e72d8e4, 0x27c00029, 0xf6d88a86, 0xcc812143, 0xce2dc6bf,
+    0x15eb4f46, 0xf34d6652, 0xbf68dbb0, 0xb8a3d006, 0xfcd8e0cb, 0x62f83c9d, 0x27ee219d, 0xde3a9726,
+    0x0fddbe82, 0xa7addcc4, 0x886904a3, 0xf27965d7, 0xf0824f9f, 0xa855807e, 0x02cbd00e, 0xffe11c3c,
+    0x91dc39ce, 0x3359a08d, 0xe8da7c16, 0xc8a2fb47, 0xa0c1982a, 0x48d1af81, 0xac67d705, 0xd93135eb,
+    0x8235b794, 0x38244ca7, 0xcfe85148, 0x3c2304b2, 0xf8d7399a, 0x3f8ee1ba, 0x1e5c93d6, 0xb506564a,
+    0xbe76d0b2, 0x76a9051e, 0x313ad780, 0xf5f0f412, 0xe18cf208, 0x6d964e64, 0x51c3925c, 0x6182ec87,
+    0x8028635d, 0x8ce0bd33, 0xb9b77816, 0x351d6d49, 0x7a764e8d, 0xd448c3f5, 0x371ce641, 0x5aee6c27,
+    0xcd779a8d, 0xa927eb9a, 0x73ed844f, 0x25ee17ef, 0xc3422dbd, 0xf1c22bf8, 0xe3bbcc79, 0x7861d820,
+    0x8ee8b9a4, 0x752f3d8a, 0xa5b78c76, 0x54ca853e, 0xe6591996, 0x1ba7e246, 0x4e482be9, 0x8be472f8,
+    0xbc6c873a, 0x7b3bff47, 0x07b7a531, 0xb4e70549, 0x2fcd84c1, 0xd0caf647, 0xe03e9fae, 0x6f51f84c,
+    0x7185e6c9, 0x2a12469c, 0x420ae4f1, 0xa81d41e2, 0x59750b22, 0xf7adca06, 0xdfda21d6, 0x828856cf,
+    0x8e3dda17, 0xfe136193, 0x640f7d14, 0xeacc4a60, 0xdc347cd2, 0x2aa6fb13, 0x24664aa1, 0x56c62842,
+    0x422d728d, 0xf7b609d9, 0x8e882c55, 0x873bec72, 0x2eccbacf, 0xd9004e0d, 0xdc70ec68, 0xce3249c2,
+    0xa8223cc7, 0xe79826ec, 0x1b5025ef, 0x3ba67087, 0x2f6eb715, 0xf15d64ab, 0xbb065308, 0xad6ba1bc,
+    0xaf4fc81f, 0x568ccd91, 0xac4bbbea, 0x93e95680, 0x3aef6e2c, 0x99e26d0c, 0x3cefd253, 0xa3d71900,
+    0xf1746eb9, 0xd5cce3ab, 0x90625eed, 0xa8c57138, 0xae931e1d, 0x01dc88e4, 0xd43455aa, 0x672588e7,
+    0xae6cdb9b, 0xa1cc05e0, 0x0e3990eb, 0x025a0da3, 0x777be593, 0x65f8dcad, 0xf246f33d, 0xbe246d4a,
+    0xd317999e, 0x281de6fc, 0x509b11ed, 0x3c524e49, 0x5ef6582f, 0x9a35d1c1, 0xed62a958, 0x800ef85e,
+    0x69e5dead, 0xb7fca327, 0x65f6c122, 0x82932568, 0xb6791d29, 0x8ad43f39, 0x2abd29f0, 0x833dc146,
+    0x794d06f2, 0x7d8fc4e5, 0x6ebe3f23, 0xd85fed80, 0x742ed89a, 0xa3a7ea00, 0x3bdfb3f1, 0xbc6dccdb,
+    0x7fcfb822, 0x2b9b185c, 0x3e1c7cd9, 0x7bbb2a28, 0x7e1cedb1, 0xf1f19bad, 0x94a42877, 0xf45e4419,
+    0x4dc92abe, 0xccd71d47, 0x87193124, 0x5b7cf44d, 0x980eccdd, 0xd0986d36, 0x59632a61, 0xe21a95b6,
+    0x7327c263, 0xc6825549, 0x1b98a665, 0x2768dd9e, 0x96892e52, 0xa61da104, 0x453197b8, 0x74ab86ee,
+    0xba9cab7c, 0x34f21922, 0x797d1fcd, 0xc43fabee, 0x5e659e99, 0x517bc123, 0x0f8d8fc0, 0x33600610,
+    0x1b51468e, 0xd8398545, 0xafc108e4, 0x7550da4b, 0x90d86970, 0x44228f4a, 0xece48b96, 0x7439c470,
+    0x1350136d, 0xf058fc8d, 0x46b5befb, 0x2c0417af, 0x0f0564c3, 0x6ac145cf, 0xb5d33a5a, 0x0bea3fdd,
+    0xbb05204f, 0xee4017e1, 0x217159ab, 0x487d6093, 0xebaf6998, 0xefdeeea4, 0x4c79e68a, 0x0a50b639,
+    0x3f0b51d5, 0x1a3105d5, 0xc8303f4a, 0x8991264c, 0x2735068b, 0xfe145e9d, 0x66c3c938, 0xc9952353,
+    0xaf204d96, 0xe0aa58d1, 0x22c0a812, 0x90c13e08, 0x52e2dfea, 0xb129c753, 0x449b6f29, 0x191fdce0,
+    0x29f98a05, 0x37403cf2, 0x8f06bb37, 0xdc5c0686, 0x5f210501, 0x6621ecb3, 0x16ede9c2, 0xa3313a98,
+    0x628b54d0, 0x02e52cc3, 0x6d52276d, 0xf165322a, 0x4b5bfab5, 0xe9651886, 0x1ab77828, 0xadd47f70,
+    0x2969a246, 0xe7e92a3e, 0xef92ea4f, 0x82cc0436, 0x9b01c348, 0x3b7fd883, 0x09286d25, 0xb7b8794e,
+    0xc852a791, 0xf1624185, 0x1ec165d4, 0xa6c13d7d, 0x8ddead4d, 0x94b0ba74, 0x481a94fb, 0x18bf1445,
+    0x785adfd9, 0xc85b96d7, 0x42f3b3ab, 0x155a0f4a, 0x6ebcc3eb, 0xde0439fa, 0xbc7ed6eb, 0x03d8df72,
+    0xd3e97bfd, 0x180e3447, 0xb9e8289a, 0xbe91e755, 0x26f5ced3, 0xa7509cdc, 0xf70ee06e, 0x0b8eb8f0,
+    0x00e9fd4b, 0x4a0c12c6, 0x1ec029f8, 0xeddc8914, 0x7b1fbb87, 0x8f8ff2da, 0x98f51355, 0xd3112e66,
+    0x184e03ed, 0x6155a194, 0x67b2eeea, 0xa7a5fe2a, 0x230872fb, 0x2a6cb9d5, 0xce776c00, 0xca8bc48e,
+    0x2b47c747, 0x2e23ca56, 0xc160c56a, 0x48a425c9, 0x23cb8c83, 0xeb7a58c2, 0x679a913c, 0x03eeed1d,
+    0xcd1cc3f7, 0x8f99934b, 0xc57cb4d7, 0x4bff26ed, 0xbd99a177, 0x0757b970, 0x2473c51c, 0xc5f6acc4,
+    0xa8eaf066, 0xf4fc8aba, 0xe0a6a928, 0x892b1b48, 0x8ddcec5f, 0xd5dc7027, 0xc79162aa, 0x010d1789,
+    0x3e73405e, 0xe283ede3, 0x2f8c903f, 0xf94c1f64, 0x8a964e2f, 0x4f36b625, 0xe1ba9f12, 0x4ab613a5,
+    0xa715fc00, 0x16d61a37, 0x17e69c1e, 0xb16cb2da, 0x67f22e49, 0x05f416fb, 0xcabd1b83, 0x7bc95f43,
+    0xf3ba641f, 0x9c0aaed9, 0x0f239cde, 0xca546ebb, 0x9c2479b4, 0x067bed54, 0x234bd459, 0x5408da31,
+    0x31f2f1b5, 0x5f5a4a42, 0x01f4c92b, 0xbb39ef22, 0xc0921314, 0x86f880f2, 0xc12fea49, 0x551f285f,
+    0xacd89938, 0xb7a906cb, 0xe5acde8d, 0x95ea48b9, 0x5d6cd276, 0xfae02497, 0x767e6f33, 0xca0497e5,
+    0x27bbcd2d, 0x0897468f, 0xa2a7dd32, 0x7485e7c6, 0x08c74294, 0xec8a8c42, 0x783dfe66, 0x66e186fa,
+    0x11cb6c73, 0x6218b5f6, 0x2f89d4a3, 0x8779fc5b, 0xaf957ab1, 0xc4076993, 0x604df6a0, 0x5b84121d,
+    0xa19f9e50, 0x73253bf5, 0xa89da125, 0x48ee9dd9, 0xc61d6c62, 0x4309bb2f, 0xaab8f066, 0x4e436789,
+    0x7ad40e34, 0x09e6756c, 0x155c7ddc, 0x2583d612, 0xfdde29b2, 0x709b308b, 0xb685dc3c, 0xd855e55b,
+    0x0893a377, 0xe818def4, 0xcb1f0179, 0x0cebbf27, 0xa0db3a23, 0x596382e2, 0x8540cf44, 0xae92c5c8,
+    0x4ed1380d, 0x1e412ea0, 0xeabc93bd, 0x75de2726, 0x6d588a41, 0x1641bb56, 0x5bb64f44, 0xf47988e1,
+    0xbdc5a2cc, 0x2b051483, 0x08f75767, 0xec9887f1, 0xc3abaa02, 0x66789195, 0x1b9bdd7d, 0x60de5b11,
+    0x68b16fb8, 0x791ed1d9, 0xbfeb69a6, 0xae31bf29, 0x3300eb56, 0x22498583, 0x21080245, 0xb33df782,
+    0xe3320f3f, 0xe0c598f9, 0x1d5d1c0b, 0x3acd14d9, 0x0a65562b, 0x573181b2, 0x3fc07b9c, 0x3c8e25a4,
+    0x5ee0d678, 0xc0b4b548, 0x0ac3334b, 0x38814571, 0xffa177f3, 0x07c9727e, 0xb47afed2, 0x583eabdc,
+    0xeac7a329, 0x36f7f503, 0x53195bb4, 0xc187772b, 0x5d1d293b, 0x6cc5e408, 0x12a7dd6b, 0x49f56730,
+    0xa2cfd656, 0x2324538b, 0x5a583868, 0xe2973b6f, 0xbb928d91, 0x2baf7423, 0xbdbdea4e, 0x99defef8,
+    0xe5cdf5d1, 0xa4e96c1a, 0xe75a795e, 0x898c5077, 0x782c617c, 0xdb3d44c0, 0x8f7940d9, 0x9b1cd611,
+    0xc34c8f01, 0x21eab67f, 0x9bb4dc96, 0x5a837eb3, 0x77a549da, 0x5e1f818a, 0x64d0c1fd, 0xf27e185b,
+    0x76f35331, 0x2e3c2861, 0x34f0d872, 0xf2012768, 0xa326c6b0, 0x28e07dfa, 0x3858f416, 0x6e45c149,
+    0xcc7a7a2d, 0x90084769, 0x157885ed, 0x4745d3e1, 0x2217d5ff, 0xa84806d5, 0xcbc161d4, 0x18afd348,
+    0x50a51ba9, 0x6d1e350b, 0x7e13ba9c, 0x047201a1, 0xbd64990d, 0x60029822, 0xf68147b8, 0x7ff04dc2,
+    0x47d20ddd, 0x9b7045b4, 0xd5aee0d9, 0xa2f6b3c0, 0x888de1cf, 0x3890987d, 0x6c0fb203, 0x0b8e45c1,
+    0x1da6e47e, 0x131272ea, 0xd1294a8f, 0xecb2b365, 0xf5d23929, 0xf1c6cecf, 0x8ee18406, 0x7bb1ab1a,
+    0xadb13e36, 0x03e85a75, 0x60709829, 0x3c41bf17, 0xbab23576, 0x1392c917, 0x502ccb80, 0x5002c585,
+    0xb6f96b90, 0x538e57de, 0xdd5144a3, 0x2f096717, 0x25cd3f69, 0xec038be1, 0xb07cb9ea, 0x11b18773,
+    0x4ef7b921, 0x4d24251b, 0x7d511319, 0x4b0ed5ab, 0x2041fd7e, 0x211b00ab, 0xc202ee32, 0x4bad0b04,
+    0xc9fe1a49, 0x6e8278d8, 0xbc378cc0, 0x65d3454f, 0x709dfdec, 0x32b3126a, 0x955ea8e9, 0x90393149,
+    0x74f50ccc, 0x6fcecd4b, 0x88ec55c7, 0x9fa1f5f8, 0xb0b980a0, 0x6e8fb012, 0xb5a597f8, 0xf90cd958,
+    0xb2339b44, 0x569cc4fd, 0x75e5d95f, 0x3217d9cc, 0x764e726e, 0xd40a753e, 0xb0622ae9, 0x37037e41,
+    0xfd3fe000, 0xb01003de, 0x7575101b, 0x533ce83f, 0x5ae501d2, 0x360133be, 0xc4613181, 0x1342bd70,
+    0x96cb4366, 0x357083c4, 0xc44d63ef, 0xb239411a, 0x54289718, 0x6181c638, 0x4c505c86, 0x0c1daa32,
+    0xb1ca2296, 0xff01a30c, 0x8c81b151, 0x2f5b9984, 0xd19bd910, 0xba20b3f6, 0x43c7a84c, 0x15ab09ea,
+    0xa2f257e3, 0x5465765b, 0xdb8949df, 0x721c509d, 0x31db8284, 0xbafb67de, 0x427978af, 0xb5cee863,
+    0xb9cc5970, 0xe0aeb98f, 0xdfb381e7, 0xec258f18, 0xf46dde15, 0x4e8dc02d, 0xdc49be3a, 0x238cd1ca,
+    0x10df51e7, 0x7182c384, 0x08983f42, 0x2505dd52, 0xceb75aba, 0x192ebb32, 0x084d892b, 0x4cc241e1,
+    0x25407a8d, 0x190297e1, 0x9870c804, 0xa67592a0, 0x9c409bf8, 0xd2f31839, 0x6bd8a265, 0x41bc9411,
+    0x35468dc6, 0xc4173092, 0xae9d5d43, 0x51c84c13, 0x1c8d93a7, 0xf3b69178, 0x157aa338, 0xbd8ecb43,
+    0xcc134350, 0xa6007b8c, 0x1938f8f7, 0x4b1982f6, 0x4ef4fba9, 0x2735d6f9, 0xef008b5a, 0x8bb5abe4,
+    0x60f9dfb4, 0xac88b114, 0xb04d21b6, 0xd8594541, 0x64e2e387, 0xd0ac5eef, 0xc3ca05f9, 0x52f0e08a,
+    0xb6a24ba1, 0x92f91f6e, 0xabec8a61, 0xa9635059, 0xd7e76be4, 0x7e707503, 0xac60f870, 0x49c1705f,
+    0x2ac4f182, 0x4e77d85f, 0x743ae9f8, 0x74814b8a, 0x2618aa9f, 0x1ae9067c, 0x6c1603cd, 0x36e351c5,
+    0xf2f05dd1, 0x6d218599, 0x6d45a0ab, 0x3115e3e0, 0x8caf46af, 0x38a4e2de, 0xe0f486d1, 0x75c106d3,
+    0x69cb36ea, 0xa0dd6fec, 0x1f96c0a1, 0xc01843c6, 0x6f219500, 0xb3be819d, 0x055b9da9, 0xe0d3d5a4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000107839786668602559178668060348078522694548577690162289924414440996864 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958b, 0x724a9bfa,
+    0x00000000,
+    0xf0640d5a, 0x467aca6f, 0x8de5da54, 0x0c858db2, 0x143fd791, 0x18b7e7a8, 0xbde2af74, 0x4af784ba,
+    0x82155626, 0x98999563, 0xd1d89bea, 0x17ce40a2, 0x4e7a19f4, 0x397781af, 0xd60df8de, 0x694edda0,
+    0x7e5a506d, 0x68ec6aa0, 0x22de2b6d, 0x5cebf664, 0xa84bf148, 0xa41de6a9, 0xafad260e, 0x484b45c9,
+    0x35224061, 0x8892e7c1, 0x2bd88e12, 0x3fb12ddb, 0x7561151c, 0x60e7ebe5, 0x342492f1, 0xec9b5475,
+    0x2b237163, 0x2e97963b, 0xd8c9b70d, 0xed820b04, 0xd36e3fc8, 0x74f5b583, 0xb1fc3a6e, 0xc048e0ec,
+    0x579bc71f, 0xf0aa7993, 0xd171acc5, 0x460f92e4, 0x9ca61bad, 0xd72a9089, 0xe1f27971, 0x2faaefb1,
+    0xc3ae431e, 0x632ae35c, 0x30e434a9, 0x31ce8d57, 0x0ae46810, 0x1b1fc604, 0x65cb7569, 0xca877612,
+    0xc9f5372f, 0x69f5071a, 0xc3868f91, 0x435d01e9, 0x8126909a, 0xb943078b, 0x25465cc5, 0xd97de83f,
+    0x8a2c7ed4, 0x3004bd08, 0x8df1c42f, 0xa953cfab, 0x3e6fb374, 0x855f5d89, 0xe811c3c2, 0xf44c8a0b,
+    0xbdf974f2, 0xd00a23c7, 0xb4c64994, 0xe8364c88, 0xebe0918f, 0xd1b33c83, 0x60c64e18, 0x8f6afb1b,
+    0xa15b754b, 0x76ea19c3, 0xb92ce426, 0x7310eaa6, 0x95014245, 0x73b47633, 0xedc7c7b5, 0x1e2121ae,
+    0x85dd2b25, 0x15d6519d, 0xd57d7c26, 0x4023c8f7, 0x5a373689, 0x36f005d3, 0x5d62fced, 0x11f0bff2,
+    0xdfe7e14b, 0x3ccf253e, 0xc3373e7f, 0xdb5e3e6b, 0xd22f2509, 0x114a11a3, 0xf140d9f0, 0xd8a39feb,
+    0x99d214e8, 0xc02796b4, 0x1c7cc740, 0x7acc1b3b, 0x00571695, 0xa2294d89, 0x45c7f0a5, 0x72b91885,
+    0xb68be675, 0xdd684e39, 0x8b9a25d9, 0xce5d69dd, 0xd591dcd9, 0x9a9df41c, 0xd1bd08ee, 0xcd249747,
+    0xb333f766, 0x6a5b0793, 0x865c966d, 0x95cade39, 0xab92be4c, 0xf6b93dda, 0x9a5d5531, 0x5c3c568d,
+    0x7bcd19ac, 0x4d28a64a, 0x6001304e, 0xe4aa4261, 0xadd3cc12, 0x08c2db13, 0x87ae245c, 0x51ff22e0,
+    0xee785405, 0x0ba0781d, 0x99b0209c, 0x38013e31, 0x54fe624b, 0xa03ad75e, 0x3854ef9b, 0xa18513e4,
+    0x5eede59e, 0x7fbd377e, 0x42c07ee5, 0x93576715, 0x0f781ec2, 0xe76b5dbd, 0xc2cb66f5, 0xd02d465e,
+    0xa1f81a09, 0x2fb6ecbf, 0x28ebd741, 0x7cdd4b77, 0x5e947049, 0x91d9eac6, 0x6f454a6a, 0x4056f020,
+    0xa7efd67c, 0x249e7e32, 0x11ca58ff, 0xd8be2171, 0x6635e02d, 0x8087f5b7, 0x6a5e6d4d, 0x90aa9a4d,
+    0x94127642, 0x5beda2a3, 0xb65f7b0e, 0xdebbfdb8, 0xe44111b7, 0xe3c5db74, 0x1cbc6828, 0xa4a37113,
+    0x78dbb87d, 0xb85aa68c, 0xdecf1719, 0x8d629bb6, 0x2779bd22, 0x6e018ca7, 0x471bf903, 0xbe4f4112,
+    0x8d3b9bfd, 0xb2157149, 0xfae70d52, 0xba175dd5, 0x25fc17a0, 0x3a9fef49, 0xfa81ba1c, 0x1db3fd22,
+    0x0f68acbd, 0x15eb2bd1, 0x403fb66a, 0x136b19e9, 0xf53bc238, 0x6612ee44, 0xb6cc6d0d, 0x8681b606,
+    0x3d3cbd48, 0xec192708, 0x6876b1c8, 0x7fef848f, 0x696cf7eb, 0x121559a1, 0xcbc0a04b, 0x24dd4fd2,
+    0x194e70f5, 0x5634bf0a, 0x9edc898c, 0x90be5c4c, 0xf8e0a4b0, 0xef671b58, 0xbb872891, 0x912b8da0,
+    0xa5716ed9, 0xfe2003db, 0x2b3a2a92, 0x8de5e62a, 0xed4b858e, 0x7164bc34, 0x8f502dda, 0x8ae51b3f,
+    0x9695ed94, 0xfe5a266e, 0xc13694f0, 0x1ec3f8ab, 0x54d51c55, 0x558d15d0, 0x71632f65, 0xccc54b7b,
+    0x5045d8df, 0x6bc43ab6, 0x4fcdd5b0, 0x3a794155, 0xbb8b2e2c, 0x0d330f33, 0x55669f0c, 0x1c7a08cf,
+    0xce44574e, 0xd779696f, 0xb917832a, 0xfe2b01d0, 0x09144122, 0x5cb24527, 0x83680790, 0xc5d1313e,
+    0xb14caab2, 0x4fb310e1, 0xa3501ee7, 0x4048dafe, 0x6d3533ae, 0x76eb1f83, 0x719394ce, 0x018f74ce,
+    0x8fb32313, 0x1c57d7dd, 0xb1b3f827, 0x19997ad8, 0x22f7c203, 0x1b65d229, 0x7ccfe8d2, 0x0b7181ef,
+    0x4c1d2c14, 0xeb8e5947, 0xb0d6ecca, 0x23b36990, 0x203485d9, 0x0c33e806, 0x1c5a472b, 0x889daef9,
+    0x704543fb, 0x09ed519e, 0xd59518c7, 0x7e6088a1, 0x4046ecd5, 0x983edc40, 0xcbf133ef, 0x5ec3cff4,
+    0xd972d5bb, 0xebc66d8e, 0x62ba5657, 0x39eaf3eb, 0x0504d90a, 0x8076d067, 0xf5970c4a, 0xda6ebfcd,
+    0x860c8b4d, 0x8f2e15f6, 0x93860d42, 0x8268c9aa, 0x86ff2c5f, 0x7fc61035, 0xe4aad0bd, 0x49b1d208,
+    0xcccfe016, 0x5063dc2b, 0xf87a8aef, 0x3439b3f9, 0xff11460d, 0x27c81232, 0xb0afd915, 0xa3843177,
+    0xecd46599, 0x27dff607, 0x617701c9, 0xc1c365a3, 0x03e28516, 0x4fe67249, 0x38b0e081, 0xc1df25ef,
+    0x402e0626, 0x5028cdaa, 0x975f364e, 0xe746f88e, 0xe90d78f7, 0x088eeace, 0xc1273b5a, 0xe8a7f81f,
+    0xcff5f631, 0xa72f5847, 0x619190bb, 0xdcb57209, 0xc3a21cd5, 0x48c29b03, 0x9b9172c4, 0x792a1e62,
+    0x82bb099d, 0x88b54345, 0xf9deb5e3, 0xf4e8effb, 0x0598a994, 0xa0abb37e, 0x9efd5130, 0xa5fb0757,
+    0xe7ea9731, 0x3dc1dcbf, 0xcd53a5f6, 0x4bccd774, 0x5ef8af35, 0x73d4bc60, 0x884fbbbd, 0x41fcf36f,
+    0xf17e6766, 0x7f94f0fc, 0xf74412d2, 0x8c450971, 0xf83aa0c8, 0xaf8588f5, 0xb3e08037, 0x37695cd4,
+    0xf531c3c7, 0x7e7e73cb, 0xcb6b8cf3, 0x3082c2a0, 0x2878b29d, 0x94a5d2d4, 0x5bbb806a, 0xe5cbd9a9,
+    0x05041fd6, 0x5d19ff83, 0x730c7953, 0x307cb0a0, 0x2c0c7c85, 0x317082fb, 0xcca69328, 0x4d7baf06,
+    0x76c39956, 0xf7a17c84, 0xbe1e4ef1, 0x6bf90bae, 0x1aef072b, 0xa9f6a3b3, 0x6ea7e3dd, 0x35ecb61f,
+    0x7574d741, 0x4c093135, 0x50ec5289, 0x5ce0c158, 0xaae6372e, 0x6af2ab0d, 0x677c3f54, 0xa5f7ea00,
+    0x172d80a4, 0x6a6cf294, 0x570f9107, 0x231f6556, 0x214be38b, 0xe6ef6338, 0xb2e0da3d, 0x819556ad,
+    0x57282dcf, 0x693d5ea0, 0xa820f5a5, 0xc223d36b, 0x71581c59, 0x705c6fcf, 0x62210a77, 0xc5719fae,
+    0x3820e30a, 0x14a641cc, 0xa4bd445c, 0x4ec1cc8d, 0xc2da0fa2, 0x7dbd0e39, 0x4272b4ce, 0xaaee0724,
+    0x99fd5555, 0x85c625eb, 0x58af8e5f, 0xc44d7b34, 0xd42d5ef7, 0xdf1a51d0, 0xdf77e9f1, 0x26b0120e,
+    0x1b54aaf7, 0x22c05c6b, 0xfe9442dc, 0xbd9cb57f, 0xecb53619, 0x00c5deef, 0x701ca200, 0x12b3caec,
+    0xcf6aa5e9, 0xb5e4e2fc, 0x7a2c1b11, 0x18481ba4, 0xb17f0bcc, 0xb228acaf, 0xaf8d6b1c, 0x92677834,
+    0x3886faef, 0x6585f07b, 0xcdb7ff57, 0x1f488ef4, 0xea602ef1, 0xa60a1ec8, 0xb379a207, 0x1dcae6ec,
+    0x854e6b59, 0x7a78d0b3, 0x51d5d9a2, 0xc490d181, 0xda9d3aed, 0xa12770bd, 0x480e9ddf, 0xeefab4be,
+    0x40caa6d4, 0xc880c135, 0x79afa962, 0xe94bbe4c, 0x9c955dbc, 0x6915901b, 0x4555f54d, 0x75794bdb,
+    0x2b529256, 0x25aca9f5, 0xa225ec2c, 0xacc181e2, 0x6cbd6446, 0x17e255cd, 0xfaa3be09, 0x9ddfd011,
+    0xd7b138c3, 0x0cd12758, 0xcaf91e27, 0x74390411, 0xf659b988, 0xb3d42f00, 0xb9a96584, 0x72d9d08f,
+    0xabb72ca8, 0x7459c643, 0x01987e38, 0x915674b7, 0x5bbabd71, 0x52d1fb32, 0x092efe28, 0x4d98d499,
+    0xfba6a536, 0xe4a8d061, 0x6feebc4d, 0xd51af9ad, 0xdc665d79, 0x6101d1a8, 0x81994a40, 0x9bf2e906,
+    0xc3579f67, 0x88f41c56, 0x4de5101a, 0x2a3471b4, 0x769781b9, 0x36f6d8f1, 0x0e26876c, 0xcd4acc62,
+    0x0ac4cfab, 0xf22014a3, 0xb7cd2236, 0x88a5fac0, 0x4573929c, 0x51e77434, 0x08a16197, 0x24a5fc3c,
+    0x445f074f, 0xd49b531d, 0x0c463aff, 0x37d7ce27, 0x9699bddc, 0x5c36378d, 0x1c0a99fd, 0x5e268095,
+    0x703cb574, 0x82ce7ebd, 0xdf1f776b, 0xa6079d8a, 0x651dc1e6, 0x01ff1520, 0xefef01b1, 0x2f53eb62,
+    0xaeb3365c, 0x9c1aa148, 0x6131e05c, 0x9f989bf2, 0x2130794d, 0x5b8c0e95, 0x356e63b9, 0x4e3d88cb,
+    0xfd9a859f, 0xd54bc1d7, 0xd084c5f8, 0x52516b91, 0x1250146d, 0xb40bc347, 0x6704aab1, 0xffbb6df4,
+    0xa1f56649, 0x5f2e896e, 0x379f93cf, 0xc1bfd841, 0xf2e95b76, 0x2f0e68c0, 0xb7a81be7, 0xdc2435b0,
+    0xdd41e1a8, 0x9468676a, 0x50f72b6a, 0x0677f5dc, 0xa02f63c5, 0x7d2802bf, 0x188db4f6, 0x380f6a35,
+    0xc848adcd, 0xbc9f890d, 0x644ecca1, 0xa8278748, 0xfdbfb27e, 0xa78f0292, 0x4f5507ee, 0xd3dcb986,
+    0x210328ae, 0x3103326b, 0x138ec15e, 0x0a70a69e, 0xb8fb759d, 0x10b41856, 0x8ba4773b, 0xf549e967,
+    0x5963189d, 0x8fcc13ca, 0x540a51c7, 0xabd98745, 0x63bd4022, 0xd9776fce, 0xc70fef08, 0xe27c42f1,
+    0x325e942e, 0x5db25e19, 0x2e858794, 0x5db23862, 0xeb67d100, 0x418d9dce, 0x3ff9fe16, 0x6ec9ddb1,
+    0xc7d30402, 0x0bd0d4c0, 0x892eea11, 0x588b29ef, 0xc8e2b164, 0x68b7cb77, 0x8f745442, 0xb31078b3,
+    0xe56f18de, 0x50cb7196, 0x217ceb5c, 0xe3211908, 0xb7b651af, 0xfb879c3e, 0x6fc5bb34, 0x47bc4e91,
+    0xfd39f04d, 0x23cca0ea, 0x98b2dab5, 0x2d3f2779, 0x117a54d0, 0xf7885287, 0x004e2af7, 0xcb8f5c6e,
+    0x2b991dbd, 0xe71c31fa, 0x9ffe5692, 0xbdd515c3, 0xd4f61f53, 0x8c524efb, 0x9ff0d286, 0xcaaa6140,
+    0xd4698d72, 0x520a80b8, 0x19e7212d, 0xe714ab3c, 0x81a52a16, 0xc997cd85, 0x01d3685b, 0x9396191b,
+    0x8f0b2692, 0xce9047d4, 0x20cbd6d1, 0x42080718, 0x88c0fcd3, 0x5be4a9ac, 0xb8e5efae, 0xe5a53ec1,
+    0x2a6881a3, 0x3f39899e, 0x45667d85, 0x2e9a909b, 0x5adb3602, 0xbe74a973, 0x97648c15, 0x207cba30,
+    0xdd220b23, 0xa24a9cd8, 0xf7e66d3f, 0xccee76b9, 0x75252662, 0x8aec62ea, 0x95cdddc8, 0xd8bcdf79,
+    0xb329cb7b, 0x669f4189, 0x3421f4d1, 0x2a0401df, 0xdb04dada, 0xcf6c39cc, 0x7b27c16a, 0xf88d56c3,
+    0x7f0cbf32, 0x598f4145, 0x9a465894, 0xae95c732, 0x9b6c48bc, 0xca075bd3, 0x107b1055, 0xfe99a472,
+    0x08aa805b, 0x92c52033, 0xf15373cd, 0x83da0ca2, 0x0bd1645f, 0xb2044185, 0x2646d647, 0xc469c5d2,
+    0x68d796b0, 0xe2e1d58b, 0xaa55d096, 0x642f799c, 0x22165424, 0xa6e9f50a, 0x6bfd5f47, 0xe6257d88,
+    0xcf5b3395, 0x66eef00f, 0x655c7bc9, 0x12d9f1d7, 0x21bc5de4, 0xc32d7952, 0x0f9d6598, 0x8444d086,
+    0x729a2ac1, 0x80379e12, 0x80c15254, 0x80df069d, 0x7025ef04, 0xebd27c7f, 0x912f41f8, 0x73d32b2e,
+    0xbc81da6c, 0x03631faf, 0xe704601d, 0x2e5a4283, 0x1aa414a1, 0xf4547d22, 0x27c8454c, 0x10ad4d41,
+    0x768bd807, 0x7e24c44d, 0x73cc78fc, 0x8a6aae6b, 0x6ac0645e, 0x6327eb08, 0x1fab1064, 0x9c1781e0,
+    0xcea064be, 0x555b7b31, 0x20f2fd98, 0x9deee0a2, 0x284b165d, 0x6aab2b6c, 0x07d54822, 0xeea4f662,
+    0x3f5d88b2, 0xbff8bad1, 0xb4905e0a, 0xa74e851e, 0xe909c5f7, 0xe74db726, 0xcee79d0b, 0x6aba02d2,
+    0xd5c57c72, 0x6262b605, 0x961d49e0, 0x795ccdb2, 0xf1fa87a9, 0xda39a292, 0xc626dd27, 0x1ba29fe9,
+    0x6ceaa9d2, 0x596c4ea2, 0x04874122, 0x3292c6c4, 0xcda3acca, 0xac2429d4, 0x1c7f0298, 0xe991adee,
+    0x480e1eb9, 0x9c7e02ae, 0xa41ed19e, 0x83ba1e97, 0xbabff709, 0x94dc3177, 0x7dcaa8aa, 0xcc731a18,
+    0x90c50bf8, 0x9d1d39fc, 0x730bfba1, 0x0493215e, 0x01240e33, 0x8cd8fdb0, 0x884cc783, 0x7d6930cb,
+    0x7ebd9357, 0x8abb73dd, 0xf98d71c3, 0x7143e4a4, 0xe162e74b, 0x488a24e6, 0xa932a5a5, 0xad540665,
+    0x84cd1d3d, 0x2b5e05bd, 0x25f52410, 0xffdcbc8d, 0x51871c82, 0x1cf5d9e4, 0x01d56b25, 0x7ea638c5,
+    0xec683538, 0x2e563c46, 0xc39554eb, 0xb074ceea, 0xf9cacb4b, 0xc711f8df, 0xce530923, 0x90a2b5b0,
+    0xf445aae2, 0x16d65193, 0xa2cbf2b7, 0xb1d2baae, 0xaa5dbd79, 0xf534983e, 0xf275e863, 0x5540385d,
+    0xc3945253, 0xa7b8ecc7, 0xf58672cb, 0x38b84174, 0x692d00b0, 0x94073e08, 0x7641e3b0, 0x0f43165c,
+    0xfe30bb02, 0xd50c96d6, 0x2040b9b1, 0xc2166c90, 0x1211b914, 0xd56adab1, 0x7f29eafb, 0x2acdc572,
+    0xc71b0de6, 0xe1e5643b, 0x39c3890c, 0x9ba20f22, 0xd48cbcf4, 0x1ea0903a, 0x74d9371d, 0xb65a7e34,
+    0x81debb5b, 0x3017e6d5, 0x11d83995, 0x9fa79cde, 0x3176d98b, 0x2367da89, 0x729b0878, 0xf31165e2,
+    0x5910b80f, 0xb82692aa, 0x3c1385d5, 0x71717e15, 0x47da109f, 0xe4990def, 0x890a0404, 0x07f41d92,
+    0x854dd569, 0xd1cd8e4b, 0xe266270d, 0x44330061, 0xc00810ef, 0x71e121d7, 0x9e803216, 0xa3c81c6b,
+    0x4c6cfda7, 0xe378927b, 0x16f667a8, 0xef78e037, 0xac9cd72f, 0xe6665c9c, 0x72f542d2, 0x5e0f7e51,
+    0xf9975ef0, 0x31358f7e, 0x1ea79911, 0xae1c9f06, 0x6fd41b25, 0x3b9c7ddf, 0xfb189e96, 0xbc0e9efa,
+    0xb3ff9340, 0x802bf007, 0x65789f55, 0xcbd004f3, 0xccef2ffb, 0xb92f1d3f, 0xc0adef15, 0x2df9bd3c,
+    0x067aa44b, 0xe0896c64, 0xb361d43b, 0xc7e72bca, 0x93455ad7, 0x10093675, 0x79b91d75, 0xf1e9b32b,
+    0x51f4ca4f, 0x801912bd, 0xa415608e, 0x92d1e787, 0xef3d95cb, 0x1e3d36de, 0x6ac95a3a, 0xd11adbc6,
+    0x43e175a1, 0x9000420a, 0xc50bbe26, 0x270264df, 0x334ab8ac, 0x34a8aca9, 0x2c48c6f5, 0xa6d05d28,
+    0x94205494, 0x4a92bd19, 0x55b60162, 0x75e986e8, 0x566f06be, 0xaf60a97d, 0xd2b7e03a, 0x6547ff30,
+    0x8b406020, 0xfa451c28, 0x0aac8f1b, 0x9abdaf86, 0x784fef62, 0x232694ed, 0xbafd646c, 0x9c163346,
+    0x49a254d4, 0x34388f63, 0xca67a116, 0xa7b60f9f, 0x19c8b9c7, 0x3f061a70, 0x4514f12d, 0x14758842,
+    0x92f57057, 0x5095ce9a, 0xe9b74cf2, 0x96d51cd8, 0xe0bd60d1, 0xc24664c9, 0x5c159abf, 0x7eff97ae,
+    0xb3b211df, 0xa010d425, 0xb3655dd6, 0xf4fb5dd3, 0x196b4a02, 0x7f5670db, 0xc4502b45, 0x8d0be7a1,
+    0x02a6936d, 0x79732e75, 0xf4c6cd9e, 0xf30af335, 0x2e513a1a, 0x8f47d805, 0x1a679baf, 0x6662ebf8,
+    0xefb307ca, 0x6703c5ce, 0xae42ef63, 0x3ee1dd11, 0xf602d4ac, 0xbe116dac, 0x3e6b2461, 0xa15bdc12,
+    0xb5a7fc7b, 0x86ac28aa, 0x46259436, 0x6d7b638b, 0xd19f0784, 0x976441cf, 0xdd78afdc, 0xa727ed4d,
+    0x118b92c0, 0x82c1e1f9, 0x2cf6160f, 0x34506117, 0xc4767c7f, 0x5b12f3e7, 0x84808758, 0x8ad88f6a,
+    0x91c30641, 0x3bddc813, 0x35a447dd, 0xa9ba3d6e, 0xf78c91a3, 0x49b11ee6, 0x1212c40f, 0xfabd6ae7,
+    0x094a3615, 0xc5bb9cc3, 0x045b4480, 0x4acfafb0, 0x590e7d14, 0x9358d467, 0xbe69d35f, 0xccdf7a48,
+    0x912e0df7, 0x9d818910, 0x748049b8, 0x64c3eaaa, 0xf7efc838, 0x0af28873, 0x18827719, 0x37ce3560,
+    0xe6716abe, 0x789e7e57, 0x7f099f43, 0x6e0709da, 0x76f688c0, 0x5337190e, 0xcb334ebd, 0xf1c2b78a,
+    0xcbfc435b, 0xd0be49c0, 0x22d49459, 0x420f3d9b, 0x95478294, 0x6013516b, 0x5e4d73df, 0x5b3d8f01,
+    0x4879f4b0, 0x7cdef93f, 0x2a2b123d, 0xec305ed0, 0x446f7b7e, 0x4ee697d8, 0x3314075e, 0x75dd41fc,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000053919893334301279589334030174039261347274288845081144962207220498432 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac5, 0xb9254dfc,
+    0x00000000,
+    0xf8129ad6, 0xc78c30be, 0xde2f991c, 0xbe90055c, 0x54583c59, 0xaa084c4a, 0x19b81432, 0xaa00e5d8,
+    0xc6e7fe95, 0xdaaee2fa, 0x7e8c30ba, 0xb682e32d, 0xb71b994f, 0x0e601f64, 0xf9c89e71, 0x4a179dcd,
+    0x04c73178, 0x30c4afb8, 0x43bee920, 0xf0ffaec4, 0xf7ca05d4, 0x8db66b2c, 0x91ca0a8a, 0xb825d714,
+    0x46ab3a48, 0x08e71e7b, 0xfe5d5f6d, 0x75bd3992, 0x7478b2c8, 0x2450c0de, 0x3d2db7b7, 0x82bdad1b,
+    0x46f5822b, 0x0be5fbf3, 0x399df58a, 0x6c3da289, 0x29dc54ea, 0x7d44a8b1, 0xd529cf2b, 0xb3f0fa73,
+    0x736037e3, 0xb3d24aae, 0xdf7826a2, 0x26872337, 0x3f3ea7c4, 0x2a6d18ea, 0x601e6bcc, 0xb02da325,
+    0xdf88d6c9, 0xf63da589, 0xf6fd2442, 0x7ad730f4, 0xacdb5568, 0x134b0429, 0xb532f552, 0x9f2f040c,
+    0x32af7a94, 0x3f879685, 0xf1c7e39b, 0xaa606eae, 0xd20c63d5, 0x2459497a, 0x7df60fb8, 0x405bbdec,
+    0x4ac4d54d, 0x2d96fbd7, 0x2356de41, 0x1c8815ec, 0x8d99cc93, 0x451f82c3, 0xca10c10a, 0x86c97855,
+    0xdc64938b, 0x3c508c30, 0x5df69249, 0x50dbc84a, 0x15f09495, 0x47eec0da, 0xf49e507c, 0x8fa27684,
+    0xbeab22a9, 0xc31d8f15, 0x92a15457, 0x0aa6f1c3, 0x7937c248, 0x06509723, 0x13f432d1, 0xd0d146eb,
+    0xf783d8c3, 0x8a04ba8d, 0x3f8a1187, 0xe06fc4c1, 0xc0b2b73e, 0x809606ac, 0x3a45abc9, 0x922ebfea,
+    0x7ab5f6ab, 0x1074c984, 0x8a5cd242, 0x7a3046ba, 0xca95915d, 0x8da00671, 0x811330f7, 0x5142eb29,
+    0x4d58dac3, 0x14d12a6c, 0x85618d6f, 0x81ddcc15, 0x3c5c7ac8, 0xec10a982, 0xf0eaf6db, 0xe0320d6c,
+    0x127833b7, 0xe30dde1c, 0x70553dbf, 0x7fcb74c8, 0x675f3991, 0x7b7465a5, 0xc33330a4, 0x86e1b9e7,
+    0x49e7066f, 0x538bf047, 0x1cf1d5ff, 0x338c8418, 0xd2a9a6cf, 0x6e62ec98, 0x1a61e2aa, 0xc5c1c545,
+    0x02de9fe0, 0x9d492365, 0xf9b47090, 0x62ef935d, 0x23f7ab14, 0x4c11a0fa, 0xaaabf575, 0xca0e69ca,
+    0xa2aa31f1, 0x2d16c0df, 0x77e2a684, 0xa6b69fa2, 0x4ca0dbad, 0xbd2914e2, 0x6444e9a4, 0x126e5487,
+    0x2347deac, 0xf1d560f0, 0x273ebe61, 0x6b090f54, 0xb7c5db09, 0x09489b4a, 0x80ea0103, 0x51a4cec3,
+    0xb1b0e3f2, 0xe6172323, 0x2fc19478, 0x75dce57b, 0x935da796, 0x82e8c38e, 0x31dfc4b5, 0x210411d8,
+    0x9673ead5, 0xe808fad9, 0xe01e890f, 0x31d5bf70, 0xe95f45ba, 0x6840f01f, 0xe58949a4, 0xea93b92f,
+    0x0be0c0cc, 0x29e0e185, 0x04828533, 0x7235c2c4, 0x3e4e4f88, 0x13438276, 0xc0820b8b, 0x480ea7db,
+    0xa5e9b101, 0x83b760dc, 0x753123fe, 0x20275eeb, 0xd3911933, 0xc9600040, 0xa5c03a5e, 0x1a30cd0f,
+    0x779f51ed, 0x485bcf93, 0x765c91cc, 0x9d3c6200, 0x33ce7f70, 0x92bc0623, 0x4c225871, 0x2077694b,
+    0x46f60f35, 0x78af492b, 0x66284815, 0x0031d0e5, 0x1dcb4a2d, 0xad7e74ef, 0xf719e899, 0xfb12f4fb,
+    0x25782835, 0xa215d14a, 0xa4302a01, 0x00c79123, 0x48a41a6b, 0x52c220d4, 0x4a35fa89, 0x5aa8cc44,
+    0x7aa5c9a1, 0xa27a129f, 0x1a07c7b7, 0x04d48cbc, 0xf2cdf94a, 0x61a64b4b, 0x6d588cf2, 0x17b6748e,
+    0xb46a0c8d, 0x29366efd, 0x3329cef3, 0xe41af0b3, 0xa7602112, 0xb9dd2bb1, 0xac2e3a67, 0xee7e4bed,
+    0xe39c5fd9, 0x9c584309, 0xe91891bb, 0xe7e4c0f0, 0xe4cff596, 0x85168e33, 0x18d465ec, 0x94102227,
+    0x08cf1f51, 0x5e6bcbaf, 0x49cb0389, 0xc4fb8f47, 0x0a1dbefc, 0x92c90ed9, 0x8d43acec, 0xd5d1e7ee,
+    0x04416059, 0x7a0aae10, 0xeb67de48, 0x4f0d8638, 0xe91759a2, 0x422246d3, 0xc761bdca, 0x1a986f95,
+    0x82986a0e, 0x14d85ba2, 0x4d7cb011, 0x199075de, 0x267f8360, 0xb29c5c38, 0x5dbc9a3c, 0xe1771aa9,
+    0x8bcc6573, 0xc90ef43b, 0x64399ea9, 0xf5ba4d3f, 0xc9257a60, 0x5075dbb0, 0x8569cda5, 0xbcd5e0d5,
+    0xc923ceb9, 0x43384a2d, 0x1bcfee8a, 0x95bba609, 0xf6d5db29, 0x0ddc47bb, 0x8d1e354d, 0x624535cb,
+    0x979058f2, 0xb9829372, 0xa2097dc7, 0x0504fa72, 0x5b9b4685, 0xdfe84e09, 0x0aebe555, 0x83ae1b60,
+    0x63f2c773, 0x4423d2c6, 0x3c7d79d8, 0x6a800fa3, 0x0fe09a63, 0xbc141439, 0xca970c12, 0x73cbda73,
+    0x0231340e, 0x8f45d35d, 0x7eaf74a3, 0x06ef8dee, 0x7b408e2e, 0x2ce18445, 0xc92d3a50, 0x7fa3922c,
+    0xab870374, 0xa41e6a6b, 0xe0e1b9cf, 0x22dc7f40, 0x755a9e5e, 0x601cebdb, 0xde72fcd3, 0xf15cdc9b,
+    0x44da3d01, 0x35db1984, 0xad2a4ae1, 0x26d8257a, 0x4fbe805d, 0xf7abdd92, 0xdbc5b44c, 0x9593d130,
+    0xe3ebc84f, 0x249f43f0, 0xf7256d08, 0x62b97eae, 0x38c7365e, 0x74365da2, 0x97da4b38, 0x68b29d1f,
+    0x393063d9, 0x9af2eec9, 0x77fb8398, 0x8ebd70e9, 0x1f48cfe9, 0x16b68bc2, 0x13085aff, 0x7b684bb9,
+    0xd14d312d, 0x7f43145a, 0x16144951, 0xb836c208, 0xabd0e929, 0x0e12d0bf, 0xed8f1e72, 0xff83d347,
+    0x23fb5b75, 0x42773bde, 0x886f8788, 0xc7311417, 0x1d53f4c8, 0x77946d9f, 0xe2d4586c, 0xa1a7f983,
+    0x8997137c, 0x563b98c9, 0x65bc8d4c, 0x4f8ba0ad, 0x1ea34a50, 0xd5798748, 0xba15bed4, 0xe8b3b2ea,
+    0x736a604f, 0x8f4ba32d, 0xc93107c4, 0x47da2f79, 0x0d008d51, 0xea0eb423, 0xd91a65e6, 0xa36c5799,
+    0x806c9cb3, 0xa6ebbd92, 0xe27fe601, 0xb0abb117, 0x5a124f67, 0x3b829b08, 0x11fbc1c7, 0x9cee7003,
+    0xda5bc654, 0xd117a6ff, 0x5ee362e0, 0xbb4c18e6, 0xd0657304, 0xfaab3930, 0x334b8e15, 0x38650312,
+    0xbab1d2bc, 0x001a0bd0, 0x4b856eca, 0x50f3b4bd, 0x6dc0d595, 0x18304be8, 0x73d7139e, 0xc194e008,
+    0xb21e5eb5, 0xe894bb51, 0xc4e23aaf, 0x11ca149b, 0xee5d5d43, 0xcab418af, 0xdaa58440, 0x3c86900c,
+    0xe96f5b30, 0x764a8371, 0xb8a1d235, 0xe55cfe05, 0x330d68a2, 0xfb096ada, 0x6fbd2d83, 0x5b56c74e,
+    0x96a6d320, 0x3ccfcaf5, 0x2179e827, 0x73f8ee3c, 0x87e7295b, 0xa5c6500f, 0xc5afcf15, 0xf1f27be2,
+    0xf0e3c285, 0x3431a007, 0xd440761a, 0xd255d083, 0x71186667, 0x2b973e39, 0xb9649d47, 0x44db34d8,
+    0x2c79da18, 0xe8d515c1, 0xb8265639, 0x573bec91, 0xbfab49b6, 0x1a24be85, 0x1206dc9e, 0x99c4af59,
+    0x3b20a3c0, 0xd5205357, 0x2414b17b, 0xda11549c, 0xd76d1ca0, 0x02939095, 0xae466015, 0xd08ebb65,
+    0x059e5b34, 0x759ce40e, 0xcf72c339, 0x1d4c0099, 0x9973f70e, 0x2b2037e9, 0x4699e5d1, 0xbbcdedae,
+    0xe418a981, 0x1799f294, 0x3e19e453, 0x187fb706, 0x372fb3c9, 0xace7a649, 0x45ae8c97, 0xe63bfcff,
+    0xb17c71bb, 0xa074ff38, 0xb9984b9b, 0xb89add99, 0x08cbb730, 0x1513ad84, 0x4528f707, 0x982806cb,
+    0x89ad565b, 0x755a898e, 0x42262cf5, 0x7833158b, 0x39524762, 0x685b347d, 0xdb702183, 0xbf37085f,
+    0x6bbda5b5, 0x3374f17e, 0x12fd8b90, 0xf8ade945, 0xca3ca233, 0x137d5d05, 0x63dfbb5f, 0x16aa0915,
+    0xf6faf088, 0xf46485e4, 0x089631bf, 0x7968cd26, 0xa8debc4a, 0x158f0769, 0x6bb75af1, 0xd41f2d75,
+    0x0791c5a5, 0x6e3e7dbe, 0x501f3e3b, 0xbc40ae0f, 0x65f7d771, 0x5a9ca460, 0x5efcc455, 0xf2d439e2,
+    0xe01c0e4d, 0xc7847ea9, 0x2f45efe9, 0xfb341ac2, 0xb6f94885, 0x4a51122d, 0xdf8bc9e7, 0x270b95e1,
+    0x0d8913f4, 0xab07dee7, 0x0074a080, 0x287dccc6, 0xd1caf7de, 0x79237b3e, 0x17815c5e, 0x875887ad,
+    0x85dd80aa, 0xc87f8af5, 0x98ba3158, 0x9897ed4b, 0xa893417f, 0x1fe88311, 0x71df4ca4, 0x55b8635e,
+    0x1c42ecdf, 0xbc670c0a, 0xf9d10ca6, 0x492b90c3, 0xfbbc653c, 0x06f4fe72, 0xa1eeb330, 0x2074380b,
+    0x6c107f2d, 0x7633e8cb, 0xea0ece47, 0xb98481ae, 0x80088548, 0x4f4ed3e9, 0x0fefa77d, 0xc1a8624d,
+    0xcba7bacd, 0x2cda817d, 0x377f134a, 0xfad9e8fe, 0x40eb00b9, 0x45cbe0ee, 0xd71f7e44, 0x775812b5,
+    0xa6e72cc5, 0xecaf7622, 0x25769748, 0xfe29dec7, 0x1cccf8a4, 0xf888c8b2, 0xf6decbe8, 0x70af6dd8,
+    0xa37e8b3b, 0x7fdaba91, 0x44cb1143, 0x88bc7a91, 0xb9e9a5d3, 0xf2af0cf4, 0x3803b245, 0x163f6035,
+    0x4146f5cd, 0x7be9605b, 0xa9e80a7e, 0x443c5d4d, 0x319fc74c, 0x0c277bc0, 0x6fb5f399, 0xb8b94928,
+    0x79f82af2, 0x5e5631c9, 0xed3a6fde, 0x90d7831d, 0x6ade537b, 0xf36d07e8, 0x0f1b6bb4, 0x5e2dba94,
+    0x804a28e3, 0x34db2adc, 0x5d27a3d5, 0xd7eee20f, 0xc843dac0, 0xcc9fb226, 0xd1dad2d1, 0x1a98641d,
+    0x5b04fb15, 0x78301301, 0x96f688cb, 0x5dda0cc1, 0xcb91a6e8, 0xb6a1e04e, 0xd58a14ac, 0x1c5f1594,
+    0xa6859276, 0xc6a7f950, 0xf82771eb, 0xa4c0426f, 0xdd7b6b79, 0xbbadb958, 0x839cdc49, 0x383e2b3f,
+    0x1f6504a2, 0x3f61685f, 0x88a9097f, 0x05ea5923, 0xca1eaa39, 0x07757996, 0x743ac245, 0x097c742f,
+    0xf826b84a, 0x8f5dda90, 0xc1122666, 0x912a9680, 0x61e8a7fe, 0x6d1cf76c, 0x737f6b6e, 0xc8201a3c,
+    0x5d6c99d7, 0x3190e738, 0xb3cba4d8, 0xbcdddb53, 0xffdb5c4c, 0xc6937f04, 0x858838ca, 0x2b5a7a51,
+    0x1a5fb780, 0xbcc0f6e9, 0xbdfcebd9, 0x8b2d13fd, 0x633e9cb2, 0x4686f7d9, 0x406d3dc7, 0x904ae738,
+    0xbd7adf99, 0xc421f945, 0x816114aa, 0x66724693, 0xbc02c3c1, 0xab901bf4, 0xbe9b1df1, 0x8f8d7179,
+    0x47bd7369, 0x25a893ec, 0x54fda194, 0xcaf85324, 0xa1f3833d, 0xc67bfa8b, 0xe34b36a7, 0x7bf3be74,
+    0x0da05624, 0x97cb95f0, 0x6143b51b, 0x63659bfd, 0x60d3237c, 0xb030baad, 0x7e91aca1, 0xba8eafaa,
+    0x9b6381c3, 0xa107dee4, 0x887d0638, 0x5366d966, 0xbc3e6af7, 0x15f7c818, 0x831a44f0, 0x015197fa,
+    0xfc98bda9, 0x5c3355da, 0x1bd0a56f, 0x53dc2fab, 0x64fd4ae1, 0x590e2e94, 0x2b9185e4, 0x561d7690,
+    0xa51ac8fe, 0x4b21c7a9, 0x51163cde, 0x4c1f91b3, 0x5403e82a, 0xa6d4c42d, 0x888e158a, 0x3d0e53f5,
+    0xaa0bb783, 0x229a390f, 0x9896e0ee, 0xf7cf2e73, 0x9729beac, 0x6b3fa9c3, 0x49d25c79, 0x19956aaa,
+    0x7e2c3872, 0x79fb880b, 0xd91a6641, 0xbb619d47, 0xca3c24ad, 0xeb1ad432, 0xd2dd39fd, 0xda0e37cc,
+    0xb3b900fc, 0x2656cb60, 0x06d16281, 0xe3a78042, 0x4b345572, 0xe185632a, 0x6e3b4710, 0xf9571f2c,
+    0xd912a451, 0x43a7274b, 0x1f284a2c, 0xffe4adf2, 0x2b0214f1, 0x0103adcb, 0xd7d8acd0, 0x755c12f4,
+    0xabe0db13, 0x03a06f47, 0x4670507f, 0x2debd303, 0xf9ac021f, 0xbaf55c9c, 0x8fe8921f, 0x75bb1900,
+    0x4f63c186, 0x06955c2c, 0x3d60580e, 0xb554c634, 0x01cd5d7b, 0x990c366b, 0xa008e151, 0x0372da15,
+    0x4053f1fc, 0x9c2b1449, 0x64ff6361, 0x94070ab7, 0x5fdf4e98, 0x5538a42a, 0x4ccf9888, 0x42827665,
+    0xa9d089f0, 0x349e40e1, 0xe96e4991, 0x11d97436, 0x104028bc, 0x03ec8938, 0x3a593de1, 0x7154c9f1,
+    0xd8c678a9, 0x3ab893e2, 0x961f2fe8, 0x06636842, 0xd47dc484, 0xfa95d728, 0x21f6f690, 0xf6747811,
+    0x8e0c02dd, 0xbf233f25, 0xbc77ee81, 0xd9537dd8, 0x282fb581, 0xe1bf45c6, 0x8426f550, 0x353ede2a,
+    0x9c645e29, 0x23e994a1, 0xbf17c5d0, 0xfb1d3981, 0xb092b441, 0x88c44f27, 0x8c39548e, 0x9d992a68,
+    0x7b155e92, 0xd3b424ca, 0x774a09c0, 0x3b0f2145, 0xfc62d663, 0x1106a2cf, 0x2bcbc822, 0x63ec46b9,
+    0x73fdbcfd, 0x4a6664d6, 0x299e250a, 0xa5485778, 0x16e35d88, 0xf99afe8d, 0x10d3201f, 0x0fc7596f,
+    0x84a76d3c, 0x1f06ae4e, 0x478dfa5b, 0xede47959, 0x245afbd1, 0x1b9621a1, 0x2d482671, 0xcdcb132e,
+    0x0a62f86a, 0x191c56fa, 0x9a3e58cc, 0xa91607cf, 0x793a5fd4, 0x3407e06d, 0x0e3ed149, 0x681ec19a,
+    0xa5a72f45, 0x7c47fc75, 0x0024995b, 0x88f9e628, 0x882474e9, 0x242c3bce, 0xf9df3e59, 0x1b463109,
+    0x1a00b999, 0xdc8b0edd, 0x290a0c47, 0xc44d088f, 0xee436fad, 0x7fdd89c0, 0x87d7ed8b, 0x2ee11f68,
+    0x2a773f9d, 0x6f2ca1f7, 0x46998cfe, 0x4f3b9fb8, 0x3f3c741a, 0xd138de8a, 0x2c725997, 0xd118b266,
+    0x52c60634, 0xb69fcc04, 0x9b8a7ee3, 0xe0d8a398, 0xdb382ead, 0xb4277840, 0xbe8b1852, 0x6a2922b0,
+    0xf6c51b76, 0x8948cc96, 0x98b41acc, 0x5d14b576, 0x063c951c, 0x0317a007, 0x5c2b8104, 0x45b30fb4,
+    0xf808057f, 0x1396c7f9, 0xc9961eda, 0x67b59a79, 0xb67c209a, 0x8e4b6412, 0x0aa75de8, 0x263ff16d,
+    0x14a410c9, 0x6f2cead7, 0xe81d6507, 0x43a5fedc, 0x18745a13, 0x98e50fbb, 0xe0a030f3, 0x9a1ada76,
+    0xd54eca75, 0x64c3bbe8, 0xd6fe6a19, 0x6cc07b72, 0x95274c2a, 0x3308ba8a, 0x0c57979d, 0x359e8ad1,
+    0xe8b38aa7, 0x43961709, 0xc233395f, 0xc4036822, 0x7da42d50, 0xbd11e572, 0x5decc9ec, 0xc719ebff,
+    0x0a2c44eb, 0x0e5e30c4, 0xd0011028, 0xe6deb358, 0xbdacdc07, 0x58940a1c, 0x86c6573e, 0x7eeba7a8,
+    0xcb68a09f, 0x0002819a, 0x9adec09b, 0xfeb93abb, 0x1763d201, 0xc8ba9930, 0xf9afb5f7, 0xd4c34bf9,
+    0xead759b3, 0x09383669, 0xe478012d, 0x191f0811, 0xe7a77d68, 0xba299bff, 0x52aa73d0, 0xdc5e6c2c,
+    0x2af3f6c0, 0x6b201274, 0x89880f2d, 0xdd7454dd, 0x8661e82d, 0x6aea376b, 0x520869e0, 0x85f85d65,
+    0x4ef751b8, 0x4bdb9793, 0x4b4d637e, 0xd052e3cb, 0x4bda49e0, 0xdb065d52, 0xdbd0f810, 0x7d7a4a81,
+    0x36b98382, 0x570b8f50, 0xd624fcec, 0x0221b243, 0x30700fcc, 0x7e8479e7, 0x595c0667, 0xbb266cd7,
+    0xb8b26365, 0x5d1c54d8, 0x7228216b, 0x0f04595e, 0xb63b1564, 0xba34b5dc, 0x360c4511, 0x8c92db05,
+    0x3a4e250c, 0xd71c4bb1, 0x274386f1, 0xd14bf098, 0x01e4d417, 0x220bbb78, 0x443a1add, 0xa57ececc,
+    0xe8bf22fe, 0x70a0741d, 0x17aea2d4, 0xe09549a4, 0x3358cb46, 0x284dae48, 0x714605ed, 0x4d837a80,
+    0x5f42c568, 0x8d151801, 0x5bf284c6, 0xb50cb8d0, 0x5c5c966b, 0x0327b049, 0xb97addda, 0x3f14ce02,
+    0x73759323, 0x06f1dee8, 0xac04bc84, 0x2f170aaf, 0x344a75f5, 0x257f73ac, 0xb00c3306, 0x6ea4e8c8,
+    0xc894c790, 0x06349cf2, 0x36e4025e, 0x62278d63, 0xf7ba1ae0, 0x417cbfcf, 0xa70b8f78, 0x5f7fe5a1,
+    0x7107653c, 0x9e3e11ae, 0xd9b2fbf0, 0xd4fc231e, 0x9c06a5be, 0x3db4c918, 0xf19b78b3, 0xbaed6034,
+    0x9b1ddd6f, 0x0a9fd1f9, 0x1caee8b5, 0xf5178e2a, 0x3f67bf53, 0x5c7029bd, 0x5324007b, 0xe6a8feb3,
+    0x068e72cf, 0xfb342bab, 0xc58b39ce, 0xbffb68c5, 0x2b480817, 0x0fb0f65a, 0x915abe94, 0x962ba822,
+    0x9aa1e51d, 0x215fb3c7, 0x7b6cf531, 0x5071a3d4, 0xd816adfa, 0x998d66b8, 0x73fa41aa, 0x4a0ee3bd,
+    0xce0ac431, 0xc560801e, 0x91630044, 0xa48df359, 0xdc6beab3, 0x66cec62a, 0x787a1469, 0x63b037a9,
+    0xe650d884, 0xf64ced3d, 0xf8997e54, 0xd74c44de, 0xa9e43f7e, 0xcd3215f1, 0x0269b6b8, 0x74907834,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000026959946667150639794667015087019630673637144422540572481103610249216 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a562, 0xdc92a6fd,
+    0x00000000,
+    0xfc0152b5, 0x5918cbaf, 0xe3af2b3e, 0x87c789ed, 0x2e5b9236, 0x0a77f785, 0x66daab23, 0x2a9fa85c,
+    0x24c84b8a, 0x431ebc2f, 0x7df4603b, 0x3710abc6, 0x18e99591, 0x7c2c6785, 0x99cf45ef, 0x073c5fbc,
+    0x71d00b2e, 0x5ded49f0, 0x51e0d0c2, 0x45ae2f06, 0xabddb230, 0x51d8f45b, 0xfe270f2a, 0x7f9ac27b,
+    0xbf3b4e0d, 0xefd1d299, 0x77c63c3b, 0x724c2af5, 0xd0af495e, 0x0673fd19, 0x61ad40ae, 0x49d2f9c5,
+    0xf97313d4, 0x5664ff37, 0x62981b00, 0x4aaf12ca, 0x9b30748c, 0x89d37adf, 0x5fe9185d, 0x27718ff9,
+    0x0ba95257, 0xe7a0d25b, 0x29cd9696, 0xbeecb261, 0xd79f5042, 0xea4eb8cf, 0x75b9d388, 0xff16a0ac,
+    0x3f4039cf, 0x7f216d59, 0x7f9bb6d7, 0x8671d428, 0x60c5beff, 0xe8891d65, 0x9175af48, 0xbf1fafbc,
+    0x23ef482e, 0x441d1cc3, 0x1d2dbcf4, 0x6e77e0ef, 0xc646f076, 0xfb36ad0a, 0x93f59523, 0x456f577c,
+    0x978c7224, 0x38f2355b, 0x8eafe770, 0xca907e8e, 0x0f8730cd, 0x15ab1d9c, 0xda23712f, 0xad689513,
+    0x9d4f61e3, 0x271375af, 0x444c6c36, 0x5e3ca021, 0x2800f4a7, 0x93aad790, 0xd9379e61, 0x2ffb4e03,
+    0x2de94f40, 0x2ad28584, 0xc7f01241, 0x3e23f59c, 0xc8e62eac, 0xb6deae24, 0x7d4481ea, 0x61690b91,
+    0xf5da006f, 0x9ff01b2d, 0x24cd5e0b, 0xbdb8ece8, 0xc7a18ca5, 0x8efecaf0, 0xc9ea74e9, 0x8d1b754d,
+    0xcb1aaee1, 0x71f0871a, 0x44bcf549, 0x9815d501, 0x739fb287, 0xdbfa9b26, 0xf089a68d, 0x06614697,
+    0xff375d72, 0x483c3588, 0x1b3a2707, 0x217eab0c, 0xa834bef2, 0xc3a5ba4a, 0xf6640d76, 0x975b5eb4,
+    0xfbd652ab, 0xd91bc232, 0x1f7a93d9, 0xc8997fac, 0x3dc6c7b0, 0xcf88f13e, 0x662ddaa9, 0x4147016d,
+    0xf9c525f8, 0xd09c9533, 0x00deeb16, 0xc6784240, 0xd7578988, 0x45a264d5, 0xd543718f, 0x5f69c7a6,
+    0xed8610eb, 0x2ed84ecd, 0xc5a61117, 0xae97e278, 0x6a365059, 0x2a4d83bb, 0x9544065a, 0xf750f787,
+    0xd4a49338, 0xbfacb896, 0x4a381cce, 0x7e574b5d, 0x8d693ed9, 0x0e56de3a, 0x506eb681, 0xf24fed82,
+    0x993b78e8, 0x322aae00, 0x2a76b17d, 0x6d2c5af7, 0x50e5d91a, 0xbdb4756b, 0x1f2a10f5, 0xfebb6466,
+    0xb032fbd5, 0xd4d1cec6, 0xfc859946, 0x04ea4fa1, 0x821df6b1, 0xfb030066, 0x01c860a4, 0x39c45312,
+    0x9e86801b, 0x28bc2d4c, 0x32489baa, 0x334fa4eb, 0xea44d06c, 0x42827546, 0x99d4525d, 0x24eb6ef9,
+    0x91445261, 0x57984048, 0xd94ca2b5, 0x68f09af8, 0x75009a27, 0x1201b987, 0x2adb6100, 0x78c8fa4e,
+    0x30c0001e, 0xe643384a, 0xca3cb00b, 0xbdc33b8f, 0x0631d16d, 0x49710fe1, 0xcef5d82f, 0x174ae63d,
+    0x0b553862, 0xef0e9ac9, 0xc738db3d, 0xb816193f, 0x238fe919, 0x7073664d, 0xaf65f916, 0xa2611299,
+    0x4b1544b8, 0x6b3cb348, 0x2ab4ca90, 0x405de6e2, 0x0c1bd5c0, 0x1b2cf8c2, 0x902d3c82, 0xa8f3fea2,
+    0x221b6ccb, 0xfe9241a8, 0x08886f41, 0x6827647b, 0x2f1acabc, 0x6a5837ad, 0x38b9be19, 0xe274e9a3,
+    0xd9205ef0, 0x17cce529, 0xd58cb712, 0x71fb4343, 0xa00bed3e, 0xb2175f69, 0xc9750416, 0xa0bd1628,
+    0xa2e78596, 0xab8dd362, 0xd2240a1e, 0xb133b11f, 0x8e5f13ea, 0xf3d8d7bc, 0xbfb69131, 0x09b13f93,
+    0x92efda3d, 0x07a83a9d, 0xa5bbe6f6, 0x91042d4b, 0x9ad923d5, 0xa424e5e7, 0xa6a30cbf, 0x8bc81a56,
+    0x5cdab8f9, 0x2d98e980, 0xb8595e64, 0x46d8796b, 0xa823618c, 0xdee806a5, 0x8f0069ad, 0xa89ce12f,
+    0xd71fd043, 0x6a5ee1ee, 0x187027f1, 0x8ee30e0a, 0x0aa581d9, 0xe18799b0, 0xdb016056, 0x87dd0957,
+    0xd236d2ab, 0x1dded779, 0xfc5c7fe0, 0x349bf1ce, 0x32f917b1, 0x4ca24963, 0x5ed95f7c, 0x5721c143,
+    0x2304a64c, 0x9294eeda, 0x82b8393d, 0x11dbde54, 0x3b330cec, 0xccb5fe3c, 0xb74ed387, 0xa66fbf98,
+    0x79760bad, 0x34ae3b49, 0xcd1cb3f7, 0x276d7467, 0x3569bc83, 0xf7e5f938, 0xc7f21190, 0xe1ee6881,
+    0xef9c7964, 0x7dd048d4, 0xf880add1, 0x577f37ca, 0x4af9f629, 0xc31f6de0, 0x26359e98, 0x1101e5c5,
+    0x61b6965d, 0x9177796d, 0x424bfa71, 0xd6f67c82, 0xcfe6856b, 0x7aa09e96, 0x3e97b6c3, 0x5353818f,
+    0xbfa05a06, 0x4143c29b, 0x0f868f68, 0x00f32b5b, 0xb0142a49, 0x2f87e35d, 0xaac79ec8, 0xfc3a53d3,
+    0x7eecf3d5, 0x318c4d4b, 0xaaeeb0a1, 0x783f0e8d, 0x378566e8, 0x75c55f60, 0xa23ee929, 0x9ae5f739,
+    0x51b8e50f, 0xcfa4dcb7, 0x217baada, 0x319070da, 0x210af077, 0xf7e096d5, 0x358ca42b, 0x0bc80e88,
+    0x77d53d66, 0x2123b596, 0xf56b42f8, 0xaa7bd397, 0x76ccdc32, 0xab5208cd, 0x62098b79, 0x11609fda,
+    0x73c8c521, 0x6fe0b5f9, 0x5299857d, 0xae8a9ccc, 0x2a5d147c, 0x5870668b, 0xe0397ff2, 0x9bd3fd1c,
+    0x5ea8cd92, 0x4eebc0c0, 0xc7dca0b6, 0x1beabb31, 0xe9768857, 0x4185ad8a, 0x72ab2b6f, 0x28a15b9f,
+    0xe6db1b7d, 0x7b770bab, 0x2ab8f2bd, 0x84264c28, 0x70e97666, 0xa4e2d4b2, 0x3c4e9078, 0x80c3a64a,
+    0x2ea1a0cf, 0x954fec24, 0x2d5b52e1, 0x1653cc8c, 0x88293e98, 0xca792af4, 0x10acf55a, 0x0188ac30,
+    0xd7760f50, 0x4d608338, 0x62644101, 0xa194bc4e, 0xc2f0dd79, 0x85e04cb4, 0x6b2bd329, 0xd795a12e,
+    0xb7a30376, 0xf4068b75, 0x7081cc3a, 0x73960453, 0xb26e7e6e, 0xa104b4d7, 0x9f86e4b8, 0x88bdf9bd,
+    0x08412f8d, 0x1421be77, 0x44a01611, 0x214be948, 0x9fe8be1c, 0x38791e7d, 0xbc285031, 0x33ce8972,
+    0xae4b6e6c, 0xec962a84, 0xa6119c78, 0x4c4ebde3, 0xeb40183d, 0x86e1b0e4, 0x57f43ed1, 0xe0f9f376,
+    0x31c9ecf8, 0x58da7364, 0xb0b10652, 0x5259ad6e, 0xa446d4dd, 0xb8d2289f, 0x3b0833ac, 0x4e221566,
+    0xe73c57bd, 0xf244f79f, 0xcbf912d5, 0x780dc8ab, 0xaf959a6d, 0xced76997, 0x8f476248, 0x08af6809,
+    0x64d763e8, 0xfd9f297f, 0x1ce36890, 0xfc19f501, 0x1c2920dd, 0x8ac28e34, 0xc778195d, 0x2417d46a,
+    0x1206dc29, 0x739165df, 0x3e2c51a4, 0xb6508445, 0x91628c6a, 0xa21847d5, 0x7c502440, 0x2634a3d4,
+    0xe627ae23, 0x88a5213b, 0xd26c93ce, 0xd3ec6167, 0xb05df118, 0xe952fbfc, 0xeffdb344, 0x2867ae40,
+    0x3d630fee, 0x42f8c098, 0xe7b06ec4, 0x9f39614e, 0xecaabd14, 0x87cfaeb2, 0xf9e6e024, 0xc818d418,
+    0x68b0d0d7, 0x882e312b, 0x1f15608a, 0x04ee865c, 0x79cebf0f, 0xbd4b9ce9, 0x1dd3293f, 0x7885966a,
+    0xbf0fd669, 0xb4058f59, 0x91476c3e, 0x021c9b81, 0x0682c553, 0x5ac0e8bb, 0xc7faa5af, 0xf7b86899,
+    0x57125868, 0xeaa8c80a, 0x6b81eaa1, 0xf625b185, 0x5aa46128, 0xe9dfddc8, 0x2142685a, 0xa7d071a4,
+    0x4bd4664f, 0xea0abd51, 0x71a762b5, 0x13fe58f0, 0x7a93b3bf, 0x209f83af, 0xbef2d446, 0x46aa7f75,
+    0x74a01873, 0x548564e9, 0x858020b1, 0xb1e71d66, 0xb5f94ffd, 0x78f2b10a, 0xc71dcc4d, 0x42268003,
+    0x0be405ed, 0x5608b0dc, 0x185fef76, 0xd8e054dc, 0xbebf4b76, 0xbb473cb2, 0x19aa485e, 0x058c40a4,
+    0x1ff4c9c6, 0xc145d44c, 0x490e9361, 0x8055d5de, 0x6cad8a92, 0x0306b646, 0xa0e1c337, 0x0dece67c,
+    0xd294948f, 0xe5b7faba, 0x5e193219, 0xc6caa909, 0x1280b836, 0xe0edd26a, 0xb6f20839, 0x2d2d14f7,
+    0x70fa6be9, 0x5a888586, 0x3b80b7ff, 0xc80994b2, 0x3f39c230, 0x8592de2d, 0xa7aefee5, 0xff184779,
+    0xad5eb4a4, 0x16960486, 0xaf6f99e8, 0x45981c44, 0xf106288c, 0x32698fa2, 0x563af58f, 0x0a4a8e95,
+    0x66518cf2, 0x29504e2d, 0xc8044d0b, 0x74eed88d, 0xfb4a9a05, 0x5413b726, 0x4a8d371a, 0x213eb081,
+    0x8c72eade, 0xc43bfa4e, 0x55a59db4, 0x6685c6df, 0x0ae96f01, 0xe5784e0a, 0x86cad6a8, 0x2f467302,
+    0xab92b8bc, 0x241d8edb, 0x83bec08f, 0x39839aed, 0x6d3c0878, 0x895d1c0e, 0x3bfe39d5, 0x8978417f,
+    0xf480aadd, 0xcd9f0091, 0xa187799f, 0x3f08a047, 0xfa04b0de, 0xaed8cb21, 0x4bb607ac, 0xe654e797,
+    0xc6565602, 0x7a5ebf28, 0xf7ac81bc, 0x2d78d40d, 0x24c43826, 0xbb22a7d0, 0xef48bc8e, 0x57e9b895,
+    0x5a944a5c, 0xc914c49f, 0x077f3127, 0x9b31fa56, 0x54c30af5, 0x5fa4f242, 0x1391015f, 0x9ab3cacc,
+    0x4a7ca7b4, 0x948da44e, 0x993762f8, 0x191595e0, 0xb4c95df5, 0xafb9c1a2, 0x20b3a7bc, 0x3f305674,
+    0xad16cfca, 0xab4e1950, 0x428f5381, 0x8d59d086, 0xa745e2d2, 0xd0d3a8aa, 0x34e5acd8, 0x38c9f9fe,
+    0xc7594be8, 0x5e4ac6df, 0x7adc12ca, 0x9f6e93aa, 0xecb2b7b0, 0xa8f869dd, 0xe290e7da, 0x95c1e926,
+    0x5618d30a, 0x1e6f82d2, 0x3509ed72, 0x75ce5825, 0x97a3e4b0, 0x1ffa62a5, 0x1ff6939d, 0x76310653,
+    0xb3770610, 0x45e57ad0, 0xc7c0553f, 0x330e71a2, 0x978350cc, 0x311f1913, 0xc827c0e5, 0x68b46143,
+    0xdc01d6db, 0x0568a0ef, 0xcb91eebb, 0x6763a03e, 0x10927cbb, 0x393137ff, 0x91daa907, 0xf1391596,
+    0x2d3cb40c, 0x701e1759, 0x8b16a5d1, 0xd5ed9b90, 0x0f05f80e, 0x63dcbbb9, 0xe6f100c3, 0x98d908dc,
+    0xa3ae7333, 0x1cd6cdd0, 0x267f2966, 0x4e01968f, 0x0db3b64b, 0x782eb943, 0xfff8d3d8, 0xdc8cfe08,
+    0x6b4028cf, 0xf13fe56f, 0x10f96143, 0x6266c1e8, 0xbd504fe2, 0x2e5815e1, 0x3b46a310, 0xab21c1c4,
+    0xd23b9361, 0xb3a3a722, 0xad074f21, 0x5fd3e7eb, 0x9622308c, 0x8f75d484, 0x4957687e, 0x865e46ad,
+    0xff463c1a, 0x321ad2aa, 0xae70b545, 0x01363c8e, 0xa671a098, 0x05433b2a, 0x1267c8b4, 0x9446f457,
+    0x394382b2, 0x168b41ca, 0x05e5f080, 0xb5fde44c, 0xc3664a0c, 0x1bcce40e, 0xf6dad662, 0x7adeb6e8,
+    0xb37888a6, 0x9f60c235, 0x43218cee, 0xb3b776e9, 0x6f85ca4b, 0xaafbd68c, 0x72f5cf39, 0x6c652da8,
+    0x7aebce37, 0xd1724e9b, 0xcb288efc, 0x2f8036ca, 0x07e0b62e, 0x04f8c6cb, 0x6e370e04, 0xd6608b7f,
+    0xa47cce1e, 0x4b7a4602, 0x8a6afae6, 0x0c044fac, 0xda478932, 0x8960f2f3, 0x02e9582b, 0xc7e17cbb,
+    0xa4e2ecc5, 0x97517fe5, 0x8de0f7ac, 0x25b0c614, 0x8a127c15, 0x8fafabd2, 0x07da2aad, 0x254572cd,
+    0x40fbe17c, 0x99c386a8, 0x4b765b89, 0xd667e82a, 0x3d1d9ef4, 0x03077ebb, 0x6045f77d, 0x8d0c2eba,
+    0xfdb1078a, 0xbfbf270b, 0x3e0d4c30, 0xf49c038b, 0x12c7232e, 0x7ea7391a, 0x637fc998, 0x06726aab,
+    0xea5205c9, 0x083c2510, 0x8f70dd38, 0x34c0cc16, 0x50a674d2, 0x5b33e66c, 0x4d84c1ad, 0x0b4bd0a6,
+    0xfb3eb939, 0xd81a4115, 0xdd8384dd, 0x484100bb, 0xa30ff608, 0x6ca2a8de, 0x8a761382, 0x4257d658,
+    0xbb6c45ae, 0xbeca0284, 0xee4424a1, 0xe1f837cf, 0xd94f707d, 0x71155fb2, 0xc3a8aab8, 0xbbcf2af7,
+    0x87bc9d42, 0x2e84ad1b, 0x5c655857, 0x4a1b7a7d, 0xf5b61b04, 0xd1c3ee59, 0x488fb918, 0xddf2c057,
+    0xe12307a6, 0x9616c854, 0xf5e5ccef, 0x26c79da4, 0x1cb822eb, 0xf0b02240, 0x577a830f, 0x5ec3afd8,
+    0x2cfd2596, 0x70385ad5, 0x22161ae1, 0x5eb383a2, 0x62b66e95, 0x641017e6, 0x7de34246, 0xa2726495,
+    0x41cd5735, 0x44dc8f8d, 0xb71d7190, 0x44752af6, 0xc065bc2d, 0xcf2263cd, 0xd3fd2a47, 0x2b1760c1,
+    0x5a4e95d8, 0x6eae77f8, 0xa13d730e, 0xb73eadc9, 0xbab445fc, 0xbfa86fb8, 0x2c41803f, 0x72589399,
+    0x0d17b512, 0x0e8f78e4, 0x0e2f4915, 0xe5279fd5, 0x6a923422, 0x16a93a65, 0x4365fa4e, 0x5a2abe2e,
+    0x8c44813f, 0x3d3e2edd, 0x8f70f5fc, 0x99fe0472, 0xe69c83ce, 0x4134da1c, 0x25452e08, 0xcda846eb,
+    0x74b1ddfa, 0xd5d04afb, 0x93e7d5a3, 0xecaed6c6, 0x18dc61ef, 0x82aad7d8, 0x3ee9d960, 0x295ef9fc,
+    0x39286b64, 0x34d0de69, 0xf9839631, 0x16d5da2b, 0x4d198c51, 0x11c63a88, 0x3717fb0d, 0xb90d51af,
+    0x31f8c3ab, 0xad5845f7, 0xe4ca1c7e, 0x472e9c08, 0x6d6e6f90, 0x570673b6, 0x1cb13ad4, 0xda77f567,
+    0xec17c666, 0x1506bc72, 0x7a8d5cfe, 0x85a59c85, 0xd2b64cfc, 0x613b6a92, 0x060a89f6, 0x35a6466a,
+    0x2806475e, 0x582ff3b3, 0xb1ebf4fa, 0x97260975, 0xb65ef32a, 0xdafe4afa, 0xf5bb2825, 0x765f95b2,
+    0xf2113c95, 0x85dd1bd1, 0xb3436db2, 0x7a344ecb, 0xcfab514e, 0xc976edf0, 0xb108490e, 0x069da967,
+    0x35589e04, 0x2b4c5ea4, 0x9b981e67, 0x7f4eb4f6, 0x453caec2, 0xe31823e4, 0x359d2f76, 0x5ac79a6b,
+    0xcdc1ff27, 0x294a890a, 0xdb159c8e, 0xcf67dba9, 0xf457fb02, 0xa69b45db, 0xd41bfd1a, 0x07761b17,
+    0x64485ee7, 0xb054f037, 0x2c7726b0, 0x781f2f74, 0x682cc9e9, 0x59b18c4e, 0x9d72d096, 0x8c5b254b,
+    0x28479bcb, 0x8916ba3e, 0xd5f4ae4a, 0x1d7f39fe, 0x7c54479d, 0x0442ce1d, 0x26114ac0, 0x2cbc5121,
+    0x58eed6b5, 0xa89d7d2d, 0xa8379aab, 0x970d7001, 0x804982c7, 0x7b94c15c, 0xc6e767c4, 0x41dc8bf2,
+    0x4cbcdbdc, 0xa0d27e35, 0x2b734730, 0x70464631, 0x0886757d, 0xa727e3b0, 0xf2f34a78, 0x36e641e9,
+    0xd3366a72, 0xc5414ada, 0xaeac6c1e, 0xa0c7ef45, 0xcbca1a82, 0x05af7d24, 0xf06204e6, 0x4798e8be,
+    0x73f425c5, 0xa8ec19c1, 0x8ed535a6, 0x759d9366, 0xcc802c85, 0x3a580c2f, 0xf09bb07a, 0xc568f07d,
+    0x0c7c12ed, 0x592ce261, 0x67c99dfd, 0x2833396f, 0x71dc8f83, 0x51180cdd, 0xd2fd2fbb, 0xf8080531,
+    0x2bfbf677, 0xf5880a56, 0x719a5ab8, 0x49bb7bfb, 0x8bf6334c, 0x86be8564, 0xeb188c7a, 0x25114458,
+    0x0cf51f5c, 0x853c921b, 0x36d31b3e, 0x00804884, 0x8f8f4ca0, 0xe8b82aed, 0x3e45a307, 0xe98c18c8,
+    0x01134204, 0xd5bf8687, 0x804204e4, 0xbd6d30f1, 0xd5f15127, 0xc8007126, 0x7fc94fab, 0xe3be728b,
+    0x08a28404, 0x8d905403, 0x14b3ab29, 0x380c304a, 0xaeca87cf, 0x2e93f13f, 0xd0d676bf, 0xc9097ca9,
+    0xb46973cd, 0x35afd617, 0x1e5a9cfc, 0x58093d63, 0x6b151532, 0x19c575a5, 0x4bb274d6, 0xe8297056,
+    0xd75791a9, 0x50c2a497, 0x25710678, 0x0ee58081, 0x30bf90ea, 0xaa954c73, 0xb4a9ea47, 0x78b3d41f,
+    0x1d84e528, 0xa8b688da, 0x02c7ab5a, 0x6852389a, 0x82572555, 0x50207390, 0x977857bb, 0xc857e90e,
+    0xc35fe54b, 0x837ac83f, 0x5c1ef889, 0xbef3c438, 0x579a5e1e, 0xddea263d, 0x4421bf9e, 0x5ce64730,
+    0xef54629d, 0xd4f40701, 0x3264c348, 0x03733434, 0xb353479d, 0xba55ddf7, 0x724600c6, 0x968d1723,
+    0x7022d57b, 0xaa201d08, 0x163792e3, 0x385aa7e8, 0xac6cc663, 0x5b4667be, 0x6e8aa6e3, 0x4c7e9e9c,
+    0xfa40306d, 0xe72dee0a, 0xa37fb2d1, 0xcb0923ca, 0x1aea45c1, 0x1f468770, 0x7d2b798c, 0x1fb505f1,
+    0x575ec9a1, 0xf897244b, 0xdb058a98, 0xb90921c9, 0x68f34a8c, 0xd999f0f6, 0x2497339d, 0xaaf99309,
+    0x999fc360, 0x642d0c92, 0x66ffe523, 0xcf096e5b, 0xc0f37aa7, 0x4746e453, 0x4013f15a, 0xce68d6f0,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000013479973333575319897333507543509815336818572211270286240551805124608 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b1, 0x6e49537e,
+    0x00000000,
+    0xb399f51b, 0x03fdc9a6, 0xd4478c59, 0xdd16555b, 0x0b9f080b, 0x6473d9d8, 0x37f5117a, 0x050d1dea,
+    0x7ad30b03, 0x3ae6ef30, 0x5d6a77fc, 0x7ef13e54, 0x3d6b2695, 0x1e3353c2, 0x471d032f, 0xa5064b7c,
+    0xd2bb216e, 0x02d33016, 0xe8f57853, 0xbd79efe0, 0x5dae966f, 0x68367e5d, 0x8362557e, 0x78bfdfd7,
+    0xca62db35, 0x9da5a4b5, 0x99a8dfa2, 0xbd693454, 0x2ca96326, 0xe9fdcbdd, 0xfb55e69d, 0x93c3dc61,
+    0x3ccd68ac, 0x041e8461, 0x4574b582, 0x47f31232, 0xae1d6d34, 0x3595ae7e, 0x72459128, 0x62d1ba02,
+    0x364b54a9, 0xbc860d55, 0xe121ca9f, 0xa1276b94, 0xfc7b8dca, 0xe018524e, 0x57571854, 0xeb6024c2,
+    0x938d1e36, 0xb5d11907, 0x7cead0e5, 0x44dbe56e, 0xb4843dcc, 0x2bb790ea, 0x98f8d169, 0x7c225a4b,
+    0x921bf0d3, 0x0b416727, 0xe32af048, 0x7851d688, 0x4fb92aa8, 0x5e1c4a72, 0x9136e8c2, 0xf33350b2,
+    0xd955a60e, 0x9af26b1c, 0x79586761, 0xc27a339c, 0xa5b2c437, 0x039b2aca, 0xe0908235, 0x399e11b4,
+    0x070e7296, 0x78b2feff, 0xbe7c4b97, 0xdf504ad1, 0x40e0133e, 0xfff78bd9, 0xb90001f0, 0x8d6bed3e,
+    0x7ef33c4f, 0xb7726dd2, 0x3ee0c079, 0xfd095c4a, 0x15ea799c, 0x60f72a1f, 0xd8fd75d4, 0x316adda2,
+    0x8853bcdc, 0x2f8eaa47, 0x64e9c290, 0xdd625ef3, 0xdafb410f, 0x2e96ef64, 0x379b5ba9, 0xf63bf25d,
+    0x3b17c21e, 0xae637d59, 0x778cb161, 0xaf470529, 0xc988750c, 0x3ab56c74, 0xa152d365, 0x005f0866,
+    0x01ec7740, 0x1ebe4817, 0x64c29107, 0x02008091, 0x693cfc0a, 0xde9c6b56, 0x359a58c9, 0xe72d4b79,
+    0x0644a1ed, 0x8645b305, 0x5f61bc2f, 0x2d9e8fad, 0xd4bfded2, 0xd1b26831, 0x6e074eec, 0x1475f649,
+    0x41f4ebf0, 0xf34db8f4, 0xad01c9f7, 0x94f76cbf, 0x7d8cb67e, 0x7d78fb7a, 0x34c42761, 0x1e2c1da7,
+    0xfcec6d70, 0x4969585d, 0x5d3066a1, 0x6b28b01d, 0xd4fe3110, 0x4a4245c6, 0xb67a9058, 0x4c011df3,
+    0xb74ce48e, 0x6b40f592, 0xd1a16d24, 0xf41de87a, 0xae025071, 0x2bc2e9f4, 0x5f28091a, 0x8df3470f,
+    0x7ae077c3, 0x3a9bdc65, 0xe57213bc, 0x714ae653, 0x2e45b891, 0x75273291, 0xe3cc4522, 0xdb31db3b,
+    0x62a2edfd, 0xa9ceaf59, 0x07e5fc7f, 0x4cef4149, 0x4758c427, 0x525c7727, 0xee7729bd, 0xe4f53c0a,
+    0x5518734e, 0x412f7141, 0x2ecbeed5, 0xf3420ebf, 0xc83ad618, 0xd8755a24, 0xfb463543, 0xc712b2cb,
+    0x9eeb1030, 0xf08f731a, 0x1ae5131f, 0x1b97452e, 0x5ea1c4d1, 0xe9c15c8b, 0x5a4ec3b7, 0x5435eb62,
+    0x67d8eef9, 0xdd5c78ab, 0x1d50d40d, 0xb79f826d, 0x48ff7c13, 0x4a5bbb5e, 0x2700ba63, 0x6de77c21,
+    0x49577cab, 0xce7d9e9b, 0x6a312d22, 0x972c281b, 0xce2628c2, 0xaa55c12f, 0x4b28f87e, 0xaeb24003,
+    0xe7503414, 0xf5ab3d66, 0x3814b46f, 0x287c65fb, 0x583505b0, 0x85600ebc, 0xabf90930, 0xc045147e,
+    0xe0a1d776, 0xabcb7bf7, 0xc9bd0217, 0x82ac8474, 0x099955da, 0x7603feee, 0x19006988, 0x4e0e48ed,
+    0x82b8605d, 0xa8dc07d8, 0xbfe694f1, 0xe56410dd, 0xb79ecc5c, 0x53eabe11, 0x78e82304, 0x71d9a756,
+    0x4e1265b3, 0xf84f8df6, 0xc78005a8, 0x8e0009c9, 0x0ff67c07, 0x3ea268c8, 0xd2a0254a, 0x0034c4d6,
+    0xc5b9ce86, 0x357a7f86, 0x1fd653e4, 0xfd3c5b0e, 0x21764983, 0x3693d78e, 0x2623a6bb, 0x1c1185a7,
+    0x4c9a79b7, 0xbeeecc66, 0x8790a39c, 0xffad8e68, 0xbc988672, 0x509179ca, 0x83974dc9, 0xdc795824,
+    0xbde484a9, 0xc4c6702d, 0x6374a615, 0x17fdfbc9, 0x2930e628, 0xedcca061, 0xf606e124, 0x156705f2,
+    0x107c9e33, 0x1085dc48, 0xd831c1b7, 0x109c0f93, 0x32fd7a6e, 0x2f48ac35, 0x0cd9e865, 0x45cd6486,
+    0xaa2c3164, 0xcc660a3c, 0x3d697a3f, 0x42f34864, 0x1ccc43c7, 0x49adc0c8, 0x52c48216, 0xfe0822ad,
+    0x7f3f32b3, 0xd62db892, 0xc47a2a77, 0xcb1de4ac, 0xf3ffd183, 0x30e93df9, 0x164d32d9, 0x0ad118d8,
+    0xc3ef05a8, 0xab12d892, 0x11f0bafe, 0xd09bc993, 0x7a39ee8c, 0xcb2c86c3, 0x967dc909, 0xa631f481,
+    0x5cac8d1c, 0x4d8c4e97, 0x60a445e4, 0x5eacca93, 0xd3badac1, 0x6d223db4, 0x19eef503, 0x15c6966b,
+    0x0f1db792, 0xf2c74af6, 0x694cd299, 0x54c40083, 0xf6071a73, 0xb56e27c0, 0xab324939, 0xa3c241e3,
+    0x27752c48, 0x627e7f73, 0x0c219242, 0x89925693, 0x20748ebe, 0xcff2e27d, 0x0ab0c7b6, 0x174ff16c,
+    0x64b8ee40, 0xf03f641b, 0x35af1af2, 0xecf13059, 0xc38b8017, 0xa57988c1, 0xc265b613, 0xa6144208,
+    0x8064d972, 0xb16abfc6, 0xdda9c59f, 0x0e634e9b, 0x2060cc08, 0xc35dab9c, 0x5a79f982, 0xe1f86787,
+    0x032f057b, 0x832a4424, 0x0750a84a, 0xc51c17ee, 0x3674cf03, 0x272365cc, 0x4355fc6f, 0xf499651f,
+    0x4d75a019, 0xde1f8792, 0x7c1df7be, 0x3b28b4f0, 0xdf054f35, 0xe421b0dd, 0x0ffabcc4, 0xb6bda42c,
+    0xa8fc2da8, 0xeb4a2447, 0xdfc5f57f, 0xad2a9cde, 0x95aebf2b, 0x9498a969, 0x8cdf3d06, 0x349d2ab8,
+    0x7ce8e1be, 0x60b471cd, 0xa407cef1, 0x61c051c3, 0xb76d499f, 0xba982b24, 0x252e7a3c, 0x4318ab1e,
+    0xc10998ae, 0xf5b2a6cc, 0xb57ca1a9, 0x0fbe2dc7, 0xb3dcdf0d, 0x2174d7b7, 0xfd6e3f3c, 0x9d0725e7,
+    0x61a98be4, 0x043b9738, 0xe8bd8268, 0xf74bdbdb, 0xbfa28f59, 0x08f195dc, 0xc6e98960, 0xaa3dab3b,
+    0x7f5d3759, 0xce72b5fd, 0x2bc8ef3a, 0xaef6b5d7, 0xb809c930, 0xb0acbc9f, 0xf5f73090, 0x4f1590de,
+    0xc547b112, 0xfa766bdc, 0xddf350ec, 0x014505cb, 0xbbba8e36, 0x228f04d0, 0xa1533a14, 0x6a0e8a9f,
+    0x6d698c29, 0x8c0bde40, 0x48b151a2, 0x09d36e8a, 0x6e5c966b, 0xfd34e205, 0x9a55eed1, 0x69619c8b,
+    0x53293b86, 0x1c111080, 0x3609d932, 0x941b0667, 0x2a5087bf, 0xdbddab14, 0x0549f649, 0x9ebc10c1,
+    0x991d88d3, 0x9c017050, 0xadcd4598, 0x89b2228b, 0xc16cbd1e, 0xdf161889, 0x21ef0434, 0x9238b45f,
+    0x83d6cd15, 0x75696f79, 0x2e4203c4, 0x9e4bfde9, 0x34311bfa, 0x4d58f579, 0x97b907ce, 0xdf97f695,
+    0x62d135d4, 0x6e7ae842, 0xdef85fe8, 0xa7d19a18, 0xfb898041, 0x34075e54, 0xad4bd53e, 0xe6bbfbd7,
+    0x322c25c8, 0xa1117f2e, 0x997ec8be, 0x5cd05b5a, 0x32781359, 0x80c170c6, 0xe62754ab, 0x3b636035,
+    0x74ee37b0, 0x61fa66d2, 0x04d1e6eb, 0xf6d8db6c, 0x59081365, 0x2aee39f5, 0x68a05e98, 0xe06c4653,
+    0x4e9b63c0, 0x1c3ef619, 0x22e8609a, 0x13cb344a, 0x926a3f9f, 0x7461899d, 0x24daca54, 0xa6b2950c,
+    0x4f234a26, 0x45dd3fad, 0xd735e4b7, 0x1e6572e3, 0x1f55825f, 0xb1de1eee, 0x79c8b731, 0xf7f6bd68,
+    0x9a393b5f, 0x9751546a, 0x605ffd20, 0xcfec84de, 0x24dd3894, 0x5fbb49b4, 0xad9c31f8, 0x773cea75,
+    0x29d1a0e1, 0xdda5fce1, 0xe5acdf28, 0xf28353a0, 0xa125c105, 0xb5f641ab, 0x99890659, 0xceb7b8be,
+    0xae29f04a, 0xadb5e29e, 0xb12dbb53, 0xd5861774, 0xf71c7327, 0x373b64d3, 0xab5ecb67, 0xf164ed77,
+    0x606e3df8, 0x5c2cef63, 0xe7c755d2, 0x451a4722, 0x7e4d9cb0, 0xa863360c, 0xd1271a16, 0xe03a4fb1,
+    0x5ca0b3c2, 0xf8503506, 0xa7155bbd, 0x9bd4b95d, 0xb3a20dc8, 0xca5a7d5b, 0xa87e37be, 0x901daf46,
+    0xeccba0a2, 0xae7c6e40, 0xf38da402, 0xbe80ecf9, 0xa9573149, 0x3e070364, 0xc65f0426, 0x572edba7,
+    0x795b566e, 0xed6a68bc, 0xeb9fe8ac, 0xfef6d128, 0xc46d72b8, 0x8c2b442f, 0xa1f7f52a, 0x5620ff90,
+    0x2c00ae51, 0x7ec606f7, 0xe12becae, 0xb779ea4a, 0xec25c972, 0x1210a76d, 0x1cd3fdf0, 0xc78a39f7,
+    0x73daccfc, 0xbaaff2d6, 0x0f329587, 0xa505668c, 0x8c2ba859, 0x182e12e4, 0x753b2e27, 0x44d8cc74,
+    0xbe642b59, 0x4c3b6daa, 0xd876f86d, 0xdad3f09f, 0x0a03221c, 0x6d8529d1, 0xbe5ec471, 0xd44c3def,
+    0x5e7eadbb, 0x73d2c3b2, 0x4f3d75f9, 0x4ae07e44, 0x8bddb7b6, 0x2ef969c0, 0x943ffe08, 0x2c6c8b53,
+    0x5b6d432c, 0x29c51e80, 0xda00062f, 0x79a831b8, 0x8da265a4, 0x01e93878, 0x3eba3ff4, 0xc177346f,
+    0x4ddbec97, 0x7d9312ea, 0x3f4d864b, 0xccc72e4e, 0x6e8cd6e3, 0x24860fa5, 0x2b6bf350, 0x365b38d7,
+    0x9dc84ba5, 0xfd945bd1, 0x7a7ed413, 0x38799ad8, 0x5528f3e3, 0x9b1c6e7a, 0x8d8f2851, 0xda7390e5,
+    0x5f8c7564, 0xa26c0aaa, 0xfb253c2e, 0x4e6404d4, 0x0bf4d18b, 0xe8c3f167, 0x61903aa3, 0x89070b34,
+    0x251ad866, 0xc4707bbb, 0x0710a415, 0x0e0600a5, 0x9832d94a, 0xea3f7843, 0xfad841f7, 0xabf27b08,
+    0x59e2c05a, 0x155cb87b, 0x79061ecc, 0x1bc23a11, 0xd3027c0d, 0xee452a4d, 0x9750fe87, 0x4e3c9d79,
+    0x9b3a3128, 0xd082bee9, 0x8b996bb1, 0x0a33c7d4, 0x9b880f86, 0x72716f8f, 0xd13d53d6, 0x043de6e3,
+    0x1e0d8bad, 0x1d5cdfdc, 0x07d92a4a, 0x5660946b, 0x30647bba, 0xab5c58dd, 0xfb8bdfb2, 0x6ca11372,
+    0xcc61bd0f, 0xac2ad8e5, 0xb4e50428, 0xe2b81be0, 0xeb670d67, 0x99f305f8, 0x25ca6d37, 0x00f0fd30,
+    0x3d4004b3, 0x8448f576, 0x244fb378, 0x8b5ca674, 0x8c9cdf67, 0x6c0bd48f, 0xf8efdbb0, 0x312c513e,
+    0x62782a87, 0x0832c805, 0x80946964, 0xa5283c19, 0x09cf23ce, 0x46155791, 0xabf1466e, 0x4160bc37,
+    0x9a404d34, 0xf9f67813, 0xc3a4c872, 0x43156b2f, 0x66bd2b7c, 0x5d01431f, 0x4ca1c551, 0x743eca02,
+    0x2cc3b02d, 0x2249b64a, 0xc83416d5, 0xce54e148, 0x7b68f142, 0x01b501bb, 0xe1b4d6e9, 0xcd146a0d,
+    0x36cd6782, 0x46514516, 0x26a7663b, 0x2d4bd2c0, 0x8b08d015, 0xf9ff0325, 0x83892728, 0x57f3ca77,
+    0x269bfacb, 0x6fce2a0d, 0x247f7837, 0x88ca7ec3, 0x02580d04, 0x0f20cf9f, 0x12d54195, 0x2c437777,
+    0x35118345, 0x78f3f7d8, 0x35b1a3ad, 0x625e1df7, 0x3c0585d6, 0x963c4129, 0xba07e406, 0xd867b19d,
+    0x5159ff47, 0x39f789f5, 0xc004cd07, 0x761f14da, 0x28bcc1a3, 0xaf4385d4, 0x3f6d0f8e, 0x347b8a72,
+    0x2681c539, 0x971c1d20, 0x62aae9c2, 0x7481bc57, 0xcf345442, 0x6135bfcf, 0xb6425149, 0x9cb2ed7d,
+    0x2ba23025, 0x8c43e871, 0xd3bb587c, 0xa4949366, 0xb722a0d6, 0xf20c28af, 0xcb417f6e, 0x36ea7001,
+    0x852a6b5d, 0xbe94cece, 0x2b1a3812, 0x25da428d, 0xcd271dec, 0xd0f2752a, 0xed5c44fa, 0x0c0f2468,
+    0xd2f899f3, 0x27114118, 0xcb5dd71f, 0x76eaccdb, 0xd5d2a480, 0xed91fb64, 0xa2acdc3c, 0xa3352645,
+    0x322a69a0, 0x6b8086ec, 0x68c8349d, 0xb27a918b, 0xd3c06b7f, 0x41ff1a8d, 0x95879af3, 0x67172b06,
+    0x57d996f7, 0xb6fa6803, 0x399c223f, 0x92581aa5, 0x1be8e5cd, 0x6cb22dfb, 0xd74455b0, 0xc6a5f37b,
+    0xd566111f, 0x01edb4e8, 0x8d06e838, 0x9c8ee126, 0xbc4794ba, 0x23d2dc3b, 0x2ffd4405, 0x4dd0cd47,
+    0x2b99146f, 0x2b67a9a6, 0xa27e35a3, 0x4faab00c, 0x96d1c413, 0x1cddc2e8, 0xc3e15c87, 0x02b189e2,
+    0xe56d9747, 0xf976e2f7, 0x21b0d836, 0x555bfc39, 0xfd80bb58, 0x85bbfa64, 0xaa250730, 0x5f6a214b,
+    0x22b9c023, 0x5b748ab5, 0x0925e9c4, 0x71e0bd46, 0xe09e9c31, 0x8898d63f, 0x7dbabd0f, 0xbaffbaed,
+    0xe303c178, 0x8869ed10, 0x06736b88, 0xc7025fee, 0x20620578, 0xff0e9c29, 0x0efabd75, 0xa255381e,
+    0x69d3be21, 0xfcb6d19c, 0x2a1ae736, 0x70f9d3ff, 0x37d968a6, 0xb307c9af, 0x979d6802, 0x23582467,
+    0x46797cdf, 0x8a442469, 0xbc74428e, 0x125a7bba, 0xd5968c6d, 0x0b410706, 0x3580c68d, 0x3468f507,
+    0xc874acde, 0x0922af12, 0x9152f693, 0x288f4215, 0x9ad23756, 0xa1a8d414, 0xd11f4545, 0xa4a30e0c,
+    0x1e61d1e4, 0x267e40cf, 0x82923c69, 0xa0828d55, 0x0e1afb82, 0xff97c190, 0x23c6a628, 0x53058e47,
+    0x7667f89a, 0x2551f58c, 0x349c561c, 0x9d9a5631, 0x23e5f0d8, 0xc5754369, 0x363e662b, 0xf2aaea6f,
+    0x9dc5f22f, 0x40552ca6, 0x39610a30, 0xea1623d2, 0xab108803, 0x2417ef51, 0xc8e5d869, 0x2b7cdd6f,
+    0x5843e8b4, 0xdc684112, 0x0f678c24, 0x193727b0, 0x7e5ead64, 0xbaeaf038, 0xdcfeab9f, 0x926a5f10,
+    0xa0e01211, 0x79712072, 0xcc3aec28, 0x4d8baf71, 0x1ee4f68b, 0x6bd8e5d1, 0x35efeec6, 0x57be489c,
+    0xadd995b2, 0xdca678d1, 0x2cf3e9fc, 0x290969c7, 0x5b3c7ec2, 0xfee7c5c2, 0xd036e1b8, 0xbeb2b890,
+    0x02d1dd6f, 0xa76f2848, 0xbf45f52f, 0xf02dfba4, 0xdaceda2f, 0x177e027e, 0x2c5d44a9, 0x26b13de5,
+    0x33e57be8, 0xf8e07ef2, 0xf5ce6a5b, 0x7f801c77, 0xcfeaf281, 0x2f003b00, 0xa9af6b99, 0x23518658,
+    0x5956162c, 0x3ed82b8a, 0xbcfac193, 0xe9da1147, 0xcda788ec, 0xe2526f2f, 0x33efc67a, 0xcb4bfe07,
+    0xb477fab7, 0x91b76740, 0xc0f9c271, 0xd7c9f3f6, 0xd8cad7dc, 0x97d9b703, 0x33788efd, 0x96b7edd3,
+    0x2dc607b9, 0x9e5954ec, 0x58d48550, 0xaf865c4a, 0x460fdad6, 0x3c169cb3, 0x1bb4a478, 0xa585e581,
+    0xb259f9b8, 0xd4d1a56e, 0x660a331f, 0x53a74f15, 0x51454b03, 0x964044fe, 0xd101d759, 0x7b87a503,
+    0x9476cced, 0xa92df75f, 0x74c1962e, 0x3eac9cde, 0xd36f81f3, 0xf8ab09c2, 0x99e23177, 0x01a1454a,
+    0xf6132b43, 0x9d68f031, 0x07fcbf75, 0x2a662f01, 0xef92e9dc, 0x6acf820f, 0x59662ab3, 0xc00e9b38,
+    0xefba3086, 0x2ad13dd9, 0xac95e63a, 0xc60d2c64, 0x5cb91239, 0x78d7c269, 0x727094a4, 0xc095588e,
+    0xcd2637d5, 0x6870087d, 0x9a2bf74b, 0xe8af2657, 0x0d352e85, 0x4a58b3e5, 0x46ba2f30, 0xa0b73816,
+    0xb6b550f7, 0x9ffd4ef4, 0xf32d1c7c, 0x4c8463ae, 0xe587a228, 0x45b4b346, 0xc7e1b8d0, 0x5bc4a139,
+    0xbf0ff306, 0xbd6a95cb, 0x3f43cc41, 0x08b7f7b1, 0x920953a7, 0x018bd950, 0x149ddee2, 0x6f594b67,
+    0x7d6c3d0a, 0x0bd3e2cd, 0x3e1dcb76, 0x4b40da9c, 0x7ae5d0c4, 0x0c254c8c, 0x27b5a267, 0x4a89d442,
+    0x473fb201, 0x387112a2, 0x1f456813, 0xf979d3b0, 0x1344f79b, 0x312589cc, 0x720c0798, 0x0caed0c2,
+    0xdca31e28, 0x8a72e221, 0x602f0247, 0x847cf466, 0xe3b02eae, 0x343bae71, 0x9bfda0db, 0x217e0812,
+    0x1237f161, 0x30de2287, 0x0893f66a, 0x2b049e1f, 0x5132b6d2, 0x9d0c101b, 0xd20d219a, 0x0b65a589,
+    0x7a6c0ead, 0x5385fd35, 0x9c84eab9, 0xe1815290, 0xe7a3dd13, 0xb1f386c4, 0xf7dea773, 0x962c6a20,
+    0xdd305711, 0x9d9cf206, 0xb4ff19ff, 0x5c6116ef, 0xee5b51ba, 0xff4d6bc7, 0xd1167eba, 0xacaa9e9c,
+    0xf83da07f, 0xee4129be, 0xc28689a8, 0x8b8cf4fa, 0x975c5e8b, 0x7e7fc66b, 0x709f5515, 0xaae89e36,
+    0xf16edaa8, 0x7a45bbd3, 0x4ff9537b, 0xf2e1cffe, 0xc1704ede, 0x8bee485c, 0x680e473e, 0x9a051aaa,
+    0x5ae185c9, 0x3e349db1, 0xcdf5184f, 0xf70a8aa2, 0x28dc77db, 0x235c6501, 0xa7095e64, 0xc1de48ad,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000006739986666787659948666753771754907668409286105635143120275902562304 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262958, 0xb724a9be,
+    0x00000000,
+    0xd66cb9f9, 0xc3147cda, 0x32f7ad19, 0x710bff28, 0x9feba088, 0xf2046249, 0x054cc05d, 0xb6d8c44c,
+    0x725eea97, 0x527b3e61, 0xbb6c001d, 0x52322d6e, 0x69672c3a, 0xd604c9c6, 0xde900d8a, 0xbac87fbf,
+    0xb7de1214, 0x58ab2478, 0x55f3d3c9, 0xcdbd1c88, 0x84f50160, 0x4d7d7fbb, 0x0999207d, 0xb5d27e97,
+    0x2641f204, 0x65bc7d3e, 0xfef879a1, 0xad66625c, 0x863dd5c3, 0x3bcf2b7b, 0x9b0ec910, 0x43667638,
+    0x56d715ea, 0x3a26186f, 0x28e2e8c3, 0x6a2ba014, 0x2f47028c, 0xd7e71b02, 0xbb1791cf, 0xdd6088af,
+    0xa2ffbb95, 0xaefd28dc, 0x0d6f5975, 0x8114f0ba, 0xe58ea51a, 0xb6c63765, 0x3ae88621, 0x59c583be,
+    0x938aa6e7, 0x76585193, 0xfdb7ef83, 0xc3c10623, 0xe84de250, 0x213ca9ad, 0xff20d973, 0x6fd81ebd,
+    0x80f8d713, 0xefa3f831, 0xec4a93e9, 0xc9062147, 0xef964de0, 0x96338304, 0xc3da1aec, 0x8424d3c1,
+    0x057e52f2, 0xb5ce171d, 0x2b79754b, 0x84ffec60, 0x79ca5dd0, 0x4159da9b, 0xba8b51fe, 0x6a5ba1ca,
+    0xdeb2728f, 0x9c671c27, 0x7624dec4, 0xeecaecb7, 0xb713c807, 0x703a651d, 0xce92438b, 0xd1a439fb,
+    0x26b906f0, 0x0ddc55ab, 0x54d66f27, 0xdda5447d, 0xa78991c5, 0xc21001a6, 0x82c17393, 0xcaa7862e,
+    0x54cd0629, 0x3440e93f, 0x7a597e12, 0xa660a3fc, 0x60ebbd18, 0x5d32fdbf, 0xc2522edc, 0x8223ee16,
+    0x48a0dc78, 0x529162f7, 0x8b2b4012, 0xf574ac49, 0x905c04c4, 0x68d55288, 0xc50b9a9d, 0xd51dc720,
+    0x8f5afce1, 0x4b3aefce, 0xed953c46, 0x0fee5f6b, 0xf7ee3bae, 0x72c7735c, 0xe193093a, 0x6866b464,
+    0x51c54a03, 0x6b3c66f0, 0x1a8bfc03, 0x83913952, 0x693605a8, 0x187eb979, 0x5c018f80, 0x535202da,
+    0x0498f86a, 0x5d1eba33, 0xa356f756, 0xb2cc92ed, 0x366c7601, 0x59fe95ae, 0x3404f0d7, 0xc19ef10b,
+    0xb4ea87af, 0x3e1d01c8, 0x02deff20, 0x9ce79cf3, 0xf4255dfe, 0x4c7b964a, 0x4cb993a4, 0xcdd77634,
+    0xf19c71d7, 0xcb6d11b6, 0xa905b09e, 0xf1e3c77b, 0xcd73ab3a, 0x185766ec, 0x63986641, 0x3e19301d,
+    0xb09b440b, 0x203209b9, 0x04b34f5d, 0x62669941, 0x4ed3ec34, 0x73454710, 0x1334e17a, 0xbd56cf19,
+    0x109b1b44, 0x7c551755, 0xb544ad1b, 0x57867e8e, 0x3d6421cf, 0x270a6856, 0x3d459dea, 0xf98e14c4,
+    0xe5ba6927, 0x05782303, 0x034e362d, 0xec543fa5, 0x6ff22ae7, 0x8f6b24d5, 0x8c1865d9, 0xb7312058,
+    0x6b5bfab4, 0xdb6a7c6d, 0xde0b98f9, 0x2e7df368, 0x49001fd8, 0xe68e845b, 0x90abd9fa, 0x96384a76,
+    0xa854e43a, 0x44a52018, 0x2053dbf3, 0x658d67a9, 0x989a0e02, 0xb81e675b, 0x900d1ecc, 0x82662ff1,
+    0x6fb6c2d4, 0xa8b75926, 0xcc93a2a8, 0xa51e851e, 0x05f258f5, 0x914bec5e, 0xf1ea69d0, 0x7e3018b9,
+    0x6c8ab29a, 0xe09e15b8, 0x77bc5bbe, 0x43e39e87, 0x1ff3fd0c, 0xe3492071, 0xe664ff86, 0x42980c05,
+    0xf5fb8359, 0x2deb011f, 0x423e1863, 0x8b647128, 0xfa854677, 0xfa0aac01, 0xc8e656a3, 0x407a72f1,
+    0x23cc8a98, 0x73fcba05, 0x359dc176, 0x428e7c7d, 0x539e2fb4, 0x82128cfa, 0x53a21cbf, 0xa2fc1489,
+    0x22bac713, 0xbbcbdb10, 0x54664395, 0x938bfc86, 0x918a4815, 0xb1a6ed7e, 0x7a483022, 0xb934aa49,
+    0xf6def3cd, 0x5fb9eaac, 0x23a9be09, 0x91058b00, 0x44ee46fc, 0x6412cd2a, 0x5561d724, 0x9aa92802,
+    0xb834ab53, 0x554fe3b9, 0x373460c8, 0x9cec9d2c, 0xa6849fc7, 0x0ab68655, 0xae1bdae0, 0x225ea8c1,
+    0xfee8d154, 0x57a9760b, 0xdca7d052, 0x538bc323, 0xa31a8462, 0x2579aa23, 0xfa44b513, 0x30e37444,
+    0xf4e1b355, 0x6954e8f8, 0x9b0f137b, 0x33284c9d, 0xd30f09eb, 0x779d5ba5, 0x902e5dc9, 0x71a261e6,
+    0xddde1cb0, 0x72dc0020, 0x93ccf073, 0x1dd13308, 0xac2c1877, 0x32737850, 0xd5c14aca, 0x6cf5be10,
+    0x27cb7792, 0x686ec492, 0xedc2f759, 0xa596201b, 0x3ff7bd4d, 0x354ab694, 0xff1fd33d, 0x1a57ff2f,
+    0x3d0c139f, 0xb2a52fd9, 0xd3f6a7d6, 0xfd3df5c7, 0x56a26d0c, 0x8115ba0c, 0x17800075, 0x52ea36dc,
+    0x4b3463d2, 0x38ca63d1, 0x8533041c, 0x4c38e208, 0xf10861a7, 0xf83d4749, 0xeb768cf8, 0x02c37cd9,
+    0xc1a5764a, 0xc03dda26, 0x5d908003, 0x53cd876d, 0xc6ffb426, 0xc2727db0, 0x21c0f0be, 0x0070c6ec,
+    0xda3fcc6f, 0xf8c73f63, 0x8bfff8b8, 0xa9fb815f, 0x8e990df1, 0xd1eaef5e, 0x51910fee, 0xa9665aa1,
+    0x45350d57, 0x0301040f, 0xba8dcd4f, 0x1a75e307, 0x3b86a56a, 0xc8ebc691, 0x9abbff4e, 0x635d5a27,
+    0xb910649a, 0x693ef81e, 0x3398570f, 0xd2a9eb3c, 0xbb2bd040, 0x5e6565ba, 0x187e29db, 0xe4434ce9,
+    0xc4f19289, 0x6c2103c2, 0xca92b909, 0x72a7a693, 0x510dfa2d, 0xa2b9db04, 0xd88b86ad, 0xd6f7170e,
+    0x6224fd45, 0xd13b8300, 0x3e7a48ea, 0x7341fcd6, 0x08d1b9dd, 0xb19479ec, 0x836c0c09, 0x4e132ab3,
+    0xf9569635, 0xbf60dcdb, 0xadc91c32, 0x70de2734, 0x1def866b, 0xe0e58f38, 0x0d1e1d0d, 0x4898a2ec,
+    0xc7761826, 0x5e45fa8b, 0xbfde872d, 0x9f13ff17, 0xfd119e3a, 0xe5c3afaa, 0xa69c4fe8, 0xbe95977a,
+    0x2b637caf, 0x0b500e74, 0xa3a87a01, 0x2d96837a, 0xb69f0f98, 0x86045f35, 0x7a380a62, 0xb0d75780,
+    0x050f5114, 0x79cee06b, 0x4b498e6b, 0x3a1f243c, 0x8133935a, 0xf55ea25a, 0x93228787, 0x4e595ea8,
+    0xb88a8542, 0x950eddb9, 0x30e37601, 0xc69ee9de, 0xb3bb2889, 0x40317bdd, 0x2a46f13d, 0xca9371de,
+    0xb8bc2829, 0x21007737, 0x01f54f2c, 0xcce6113d, 0xa7c7a43c, 0x6090446e, 0x375a9ff4, 0x1aeb8a8f,
+    0x752f1f39, 0x61a713f5, 0xf298b465, 0x635ca89f, 0x6710977e, 0xc8b1401c, 0x38651847, 0xdf7c8c4b,
+    0x8682a20a, 0xa13dbceb, 0xa7c6540c, 0xc4af1442, 0xabeafc02, 0xc6126daa, 0x40ab5882, 0x4c330ed9,
+    0x143f6e24, 0x87b73d0d, 0xe314f60c, 0xa763233a, 0x650aeeef, 0x9c029e31, 0x08ba4603, 0xa07f7d09,
+    0x5a30c4af, 0x50239cd1, 0x1fc92c79, 0x86568ffc, 0x14f51091, 0x086e95a4, 0xe4652c98, 0xe1bfcfe1,
+    0x2e31646a, 0x1d090ddb, 0x0d1ac69b, 0xb2186cb6, 0x52cfdfb3, 0x999a32a8, 0xabac86f2, 0xce5305ec,
+    0xc1b8c274, 0x9b134e35, 0x7a52bee6, 0x0c8a50e1, 0x0fe434e5, 0x1cab2d74, 0x9b97ed77, 0x25a18c5d,
+    0x96c96d95, 0x28d8cc31, 0xce2715d6, 0xb7d375f7, 0x2d3a02d2, 0xd197cd5a, 0xdc68857d, 0x7e1663bd,
+    0x074391fe, 0xfba83bda, 0xb9c70a5c, 0xfe156b12, 0xd6c534d2, 0x6995ac02, 0x852afac5, 0x0c329099,
+    0xe74284f0, 0x43cce053, 0xb081cfcd, 0x2253878c, 0x9a5c34c1, 0x688d240f, 0xd3bc3c95, 0x142c2db3,
+    0xfa3b8d46, 0x4c87ab1b, 0x5bce837c, 0x5e1c9981, 0xc61f90f4, 0xb8bf5b42, 0x24e9a2a4, 0xfbce18ca,
+    0xba2ec6c3, 0xd1569057, 0x06b317ea, 0x9e2ebe0c, 0xec0c46d1, 0x3382e00c, 0x60bd76da, 0x4210ed05,
+    0xaa4e8a8e, 0xf0ea2ae1, 0xcd6aa2fb, 0x8e4c1df3, 0xf57462a1, 0x006e28bf, 0x2ace8d48, 0xa3e30f37,
+    0xf0c36936, 0x15febccf, 0xc6e46288, 0x5687c8d6, 0xdeedca37, 0x5b771c1b, 0xb45d8173, 0x9c36fc19,
+    0xe0ded6bb, 0x02aabcc2, 0x44c599d5, 0x488e8c82, 0x11dac0b6, 0xe61819d2, 0x05bb7625, 0x63d43d01,
+    0xf7c1cb6c, 0x70b306df, 0x6f4cd80f, 0xcf9a0ff4, 0x59eaf38f, 0x76c326e8, 0xa46322f5, 0x3c5d294a,
+    0x7210fa7c, 0xce4c0509, 0xd1f9dba3, 0x07ed73ea, 0xe9a3a6c3, 0xe4da0889, 0x662f3f7c, 0xa312899d,
+    0x18fa1916, 0xb3dad682, 0x055edc93, 0x40958f99, 0xfdb37990, 0x3b4ca06b, 0x3c18ec98, 0x2ae104fe,
+    0x894c6d5e, 0x531c7276, 0x3986995e, 0x8b2787cb, 0x867a9e77, 0xaeff2d0a, 0xa0572ca8, 0xee7bfa11,
+    0x41cedb19, 0x6c548be5, 0x50179746, 0x0576c402, 0xe333b44f, 0x59b64498, 0x0406d3a0, 0x235d3e27,
+    0x9d0395a5, 0xd136dda2, 0xe1a71834, 0xf9a7cd95, 0x0f7cd39a, 0xf5ebadf5, 0x7da1e778, 0x8914c3f0,
+    0xf3d4b367, 0x81f00929, 0x9d141eaf, 0x9cf773c5, 0x447d0224, 0xb960c646, 0x94080146, 0x5c9dbb96,
+    0xb2062b72, 0xee3fe4cf, 0x30c7b869, 0x725f1a34, 0xb2b7c6be, 0xf26703b6, 0xee792703, 0x1636bbe8,
+    0xfc0a5d9b, 0xaff706c5, 0x415d85f4, 0x749a070a, 0xef633c87, 0xe644cff2, 0x2e8a3910, 0xe8a8451e,
+    0xecec9035, 0xd5d76a9f, 0x4bcb074e, 0x215c07aa, 0x979411d9, 0x5064d531, 0xba0e801b, 0xe338a8ed,
+    0xcec902fe, 0x47b3e66c, 0x2c0850a7, 0x3a343af0, 0x4179a8d5, 0x98fb260b, 0x25627da5, 0x2d1c7d48,
+    0x24bfbec8, 0x15c37c7e, 0x59ab0905, 0x2cf8b7b1, 0x889e0eb0, 0xd4ce186f, 0x2a31741f, 0x8664c811,
+    0x664137f8, 0xc0f4b8a8, 0x315506e4, 0xd7efd140, 0xd4878802, 0x8ba8ccf3, 0x31f9aacc, 0x79768901,
+    0x20ae28ea, 0x84000385, 0x6669aabc, 0x60435f0c, 0x136c7216, 0xfeaf2d39, 0x5c7a321f, 0xe007f199,
+    0x1e050245, 0x56ea8608, 0x19697cc2, 0x7d0cd79c, 0x2289e6cc, 0x8ed237fa, 0xf74f603e, 0x3417a8a7,
+    0x02d0f197, 0x1a851996, 0x6de425f2, 0x9ed868c6, 0x8d8a0b4b, 0x81d4e640, 0x60751acc, 0x1affbff0,
+    0x70f7c1ca, 0x47693b84, 0x30c9660c, 0xf0b6e8f1, 0x2afe32b7, 0x8548e0f4, 0xa213e89e, 0x8f8aeb45,
+    0x230540bb, 0xbd90af35, 0x5f42ce7e, 0x7a508343, 0xf76f14ee, 0x36cccb04, 0xd6ddce55, 0xc64138c5,
+    0x6a058a60, 0x4e96b3f2, 0x5e53b115, 0x3db4f555, 0x37a89612, 0x8336339a, 0xe3f569d8, 0x5384405a,
+    0x453b4b1b, 0x73a6f2af, 0xa1db9f72, 0xe83e1b3b, 0x566e46b6, 0x173af6f9, 0xdc9dca6c, 0x35184c04,
+    0x8cca6671, 0x37e4f840, 0xd0c16e52, 0x9804ebed, 0x14cc53aa, 0x2fa3539a, 0xe29db0f2, 0x80939ffd,
+    0x21fac6c6, 0xae967dfe, 0xeec7fda0, 0x6e69f096, 0xe6c31185, 0x9397fcfa, 0x870b5079, 0x005f3259,
+    0xe20d4f9f, 0x311f5f57, 0xa9561e0a, 0x19be929c, 0xb887787d, 0xe2ccaf11, 0xec9e1985, 0xa06f6f69,
+    0x690fc14e, 0x432e5612, 0xdb11ac31, 0x9114189a, 0xd0d2609f, 0xfc579559, 0xcae5816a, 0x3e3a6770,
+    0xc4e377ba, 0x96bd22bf, 0x1404647a, 0x8322fe40, 0x12fd5997, 0x86e05f03, 0xa782f2c3, 0xd019e0f8,
+    0x71fab08f, 0x88858a75, 0x16adbf3c, 0x88d35d7f, 0x674a7470, 0x65de6034, 0xb2efe63c, 0x784193a5,
+    0xfdaeb02e, 0xab6a6c7a, 0x9b784822, 0x2bdde229, 0xfb657fb6, 0x09bc6abd, 0xcf168273, 0x63ced9f7,
+    0xecba8d08, 0xeaf728af, 0x043f5e06, 0x58c1b38e, 0x1fe3311a, 0x6c4eeb9f, 0xc2d2eecd, 0x91e15f9f,
+    0x733e98bd, 0xf96e42e9, 0x1656173f, 0x62b7495c, 0x3126566b, 0x1e14c15a, 0xe2207294, 0x247f9409,
+    0xcf481ab3, 0x4887344a, 0x857f2f58, 0x283270c0, 0x68fe531f, 0x852bd9bc, 0x8da9ce18, 0x2117e3c3,
+    0x159d8016, 0x72415b39, 0xc68d6608, 0xcb3a2a36, 0xf1fa57ae, 0x182e6a58, 0xb621231b, 0x603ee0dd,
+    0x960342f8, 0x214c0fd9, 0x081cbc01, 0xe388ea0e, 0xdf1cf78a, 0x716a14da, 0x45c47841, 0xfd2033c7,
+    0x9041e0cb, 0x218eeec8, 0xcad65665, 0x4ebc8ad1, 0xf1d426b0, 0x364505b0, 0xd328dc8a, 0x47230aaa,
+    0xf140aeda, 0xd9b2ee43, 0xb5326a88, 0x0c1c7e20, 0x503696ff, 0x8bbe4c64, 0xb9ea9266, 0xf757eaab,
+    0xa1d1edc8, 0x1dadbb45, 0x26669dd1, 0x86b96bb3, 0x370d280c, 0xbcd25c81, 0x75506708, 0x6185da15,
+    0xeea670b9, 0x577532d1, 0xae30a816, 0x5948851c, 0xfa19b7e6, 0xc7ce1f8e, 0xdc512f8c, 0xab653838,
+    0xc62df201, 0x6e8bb08f, 0xc882f1b6, 0xb21296e8, 0xf55dacb8, 0x70a18561, 0xb77d97eb, 0x06414418,
+    0x46193d4c, 0xd967eaaf, 0xb01c5748, 0xb36c0dec, 0xaa5690ff, 0x76190f43, 0x3c2d14e4, 0x86381e05,
+    0x2cab528b, 0x36455483, 0xb27759d7, 0xce00a88a, 0x5e116ebc, 0x33164a42, 0x0187f501, 0xa34ef915,
+    0xf9da6a4c, 0xca216d80, 0x6b4d8676, 0x5e945f0c, 0xc189099f, 0xb9aba570, 0x4e31961e, 0x0ff24f81,
+    0x52fcec7c, 0xf1a1919b, 0x7a170a23, 0xb4097703, 0xf8564d2a, 0xb0680bd6, 0xeafeb622, 0xadf77e67,
+    0x5d9fddd3, 0x7d378fdd, 0x69582408, 0xe306442a, 0x75e2fb84, 0xeaf78a81, 0x200a5dde, 0x2e389800,
+    0xb63f91b4, 0x42d7916f, 0x32e35a36, 0x3e378811, 0x31afd3e5, 0xf96b8048, 0xc593a9f7, 0x4fb742f4,
+    0xbfdb342f, 0x8d1ec411, 0x23aea5f1, 0x167a30b8, 0xfb1a3d4e, 0xa1bd34ff, 0xd09f3e23, 0x93be1d46,
+    0x6718dce6, 0xbb90f226, 0xf07d5233, 0xcf5de2a3, 0xbadaf719, 0x50df624d, 0x15f776d7, 0xd9d6a323,
+    0x279afe6c, 0x1e42d10e, 0xd33a8e81, 0xd0e37432, 0xa5a757d5, 0x6c751cb9, 0xfddb2ee4, 0x54e9ec13,
+    0x4bada906, 0x42875220, 0xf8387c70, 0x46f81546, 0xb42be7cf, 0xc27ec43a, 0x5aa06d0e, 0xcbbb1412,
+    0x4e4022bb, 0xe4f169ae, 0x6eb6e7ba, 0x6c33c9e5, 0x07fc43bd, 0x3227ae7c, 0x70a869bd, 0x5fb6d050,
+    0xf6f3d41a, 0x89e41c85, 0x0eabb3e4, 0x63d5e3a4, 0x11a5b40b, 0x9a3d2716, 0xe44406d6, 0x2d8e5df6,
+    0x7c533fde, 0xa3b0c732, 0x12f7fcf8, 0x9534e2b2, 0xdc49d7ab, 0x16a22ac1, 0xab14ae38, 0x6bd2fc7d,
+    0x25238166, 0x1831edc0, 0xf60431eb, 0x6525968a, 0x1584c947, 0x670c46c3, 0xbcb99bb7, 0xeb332cbb,
+    0x8e43c77a, 0x3e790ad8, 0xf0c5a65d, 0xd7be787c, 0x2020492a, 0xf560c98d, 0xfeeaaac3, 0x8c60113d,
+    0x4e20973f, 0xc2929b66, 0xb1614e32, 0xbb2c1883, 0x38cd6d1b, 0x0d8d1ce0, 0xa9c79d5c, 0x7c484940,
+    0x00a3c1ec, 0x645ca0af, 0xa8edfa21, 0xb6ec962b, 0xdf296499, 0xd1d0f719, 0x1a19fde3, 0x46f3ba0c,
+    0x0c96a007, 0xf0304386, 0x94413651, 0x73b5bcfe, 0xed4d44eb, 0x49199b95, 0x9e0313f2, 0xfc132683,
+    0xb341dd8c, 0xbb57416b, 0xc4aa7cf6, 0xfc8f300f, 0x3b5f5194, 0xfc87f706, 0x5bedba89, 0xeba5d902,
+    0xfbc272b8, 0x9ebfea71, 0xc8992f9b, 0xf30a39be, 0x5be542b4, 0xaf600978, 0x365a4d90, 0xc158a73f,
+    0xaf8f330e, 0x6aa64790, 0x49fc7ec8, 0x14babd90, 0x2e92956e, 0xf09527d1, 0x0b79c1aa, 0x74dc82d6,
+    0xa6e8bb3f, 0x5aa59231, 0x5c48b098, 0xb2d05eef, 0x0e47cfa4, 0xf519390a, 0x3b880945, 0x81a36550,
+    0x7d65447b, 0xeaac4d10, 0xdcf65aac, 0xda878159, 0x2e101a1b, 0x9707d900, 0xf6e3a8e4, 0x48d28978,
+    0xf35a73ff, 0x1f12dd91, 0x3a824c40, 0x9e9cd7a4, 0x2b1ae767, 0xe6af6969, 0xbccdebbc, 0x0845b9db,
+    0x9936b074, 0xad89f063, 0x8df5dc73, 0x9cfe1b40, 0xe7a23657, 0x006b91d6, 0xbe6780ce, 0x961f6195,
+    0x31bdebdd, 0x5ad7376f, 0x931de07b, 0x519bccff, 0x281512bf, 0x5be07525, 0x55ec52ad, 0x89d86e56,
+    0x627b82fd, 0xe648b6e7, 0x353a2c1a, 0xb2f2519c, 0xff6c609e, 0x4b4312d5, 0x1d09f0f5, 0x56220d91,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000003369993333393829974333376885877453834204643052817571560137951281152 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ac, 0x5b9254de,
+    0x00000000,
+    0xea4abe71, 0x4a5825f6, 0x8807edc2, 0x7363424b, 0x0e24c5c2, 0x000d4ed1, 0xc4c420d5, 0x78bea006,
+    0xa249d7f8, 0xcd28b2c3, 0xf802cd88, 0x9dd08b6e, 0x1dc61369, 0x83b7ea73, 0x3166279b, 0x09b3768c,
+    0xef5797fe, 0x8c79ce1a, 0x855efb34, 0x89c78915, 0x9fa94787, 0xe2b874cf, 0xffed6a70, 0x05b79826,
+    0x2c280988, 0x17ef3cef, 0xa339cd3e, 0x89bd9d52, 0x64c29264, 0xfd46e2ba, 0xd2845875, 0x59988c01,
+    0xac7b9b1c, 0x909af24d, 0x97ba0af8, 0x1c831762, 0x8cf301f8, 0x402b0060, 0xb9baabc8, 0xa0e869b1,
+    0xbc4c3380, 0x25654c56, 0x0d02062f, 0x162e42bb, 0xc9f7d48b, 0xa2f6b425, 0xea0882f7, 0x9661cadc,
+    0xee1a7dfa, 0xbbdb23d9, 0xda80a228, 0x45a8a77a, 0xd4d0e0b5, 0xbdc96077, 0xf7583e4c, 0xef1efd7f,
+    0x684e0ffe, 0xe338db4b, 0xa2d1e146, 0x19d70602, 0xcb3296d5, 0x93dd069d, 0x4f580ba1, 0xabb0ef49,
+    0xcc7c3ea2, 0x3d54597b, 0x7d73c98f, 0x15a151bc, 0x54f4add0, 0xfdbea2c5, 0xde4049af, 0xfc6926e3,
+    0xa7250b95, 0x3abb82b4, 0x320a1b8e, 0xb279557c, 0x404aada9, 0x7225b4e1, 0x9f57b0bb, 0x64ce2aaa,
+    0x4cf9d324, 0xd5bacf2b, 0xbfebf4ae, 0x663581df, 0xac44340d, 0x3a54f542, 0x91f9abc7, 0x6b012c4b,
+    0x2b1ae718, 0xde3821a9, 0xabcd33a2, 0xcb1d8a8b, 0x8e45b434, 0x3cb0f786, 0x478af4aa, 0x272dc929,
+    0x6d6ceae9, 0x7cd7f8fd, 0x96485e4d, 0x3b529a67, 0x6aec3265, 0x4398da5f, 0xe05c001b, 0xbd477ef8,
+    0x95b0c521, 0xf31f47f9, 0x854f741c, 0xbf084902, 0x24cf3b49, 0xcbdfff18, 0x8e6efd2f, 0x6fdd7cc7,
+    0xabc45465, 0xa8727aea, 0x7bbab7a7, 0x829c4baa, 0xab3a2964, 0x624feea2, 0xa651501e, 0x0b381214,
+    0xc8b7b221, 0x7adb7fac, 0xe963f7e9, 0xce644391, 0x03c20282, 0xd35df71a, 0x1b9897e2, 0xbeef8ef7,
+    0x5c039ab2, 0xa380893d, 0xb371b0ff, 0x8dde9bc6, 0xb389d572, 0xae3c13f6, 0x76c99251, 0x167c7a4c,
+    0x347f4516, 0x8ff7a03b, 0xa7bad2a1, 0x6c909c8a, 0x6fc2a4ad, 0xbbdd7887, 0xaffd0ed8, 0x12f5f18b,
+    0xcb637647, 0x823680cc, 0x6f8365b9, 0x8f5d5f74, 0x1555a00e, 0x4932ba74, 0xec71781b, 0x415e7b96,
+    0xd23098f3, 0x5ac47f55, 0xcc897e0e, 0x46fd442a, 0x65a3dd00, 0x87a304ec, 0xd65cb2af, 0x0a0bd94a,
+    0x7d742a08, 0xfe3d9e9f, 0xfe4f84bc, 0x7580ad35, 0x3dfe6bee, 0xb0ee730e, 0x062dbb2d, 0x5368f533,
+    0x4ddfd440, 0x131f0d88, 0x633017b1, 0xbd856b7a, 0xb72669d2, 0xe83b4792, 0x940029cd, 0xe0822826,
+    0x9e459080, 0xff2c1498, 0xe9df8cc4, 0x47dd866a, 0x6efeb483, 0x4163f5c0, 0x6dfca5e5, 0x16778e43,
+    0xe6940ebb, 0xc17e93fc, 0x44a66b16, 0x4053b479, 0x663f3898, 0x2f59e605, 0x93033f9e, 0xd0d89ba6,
+    0xc0c3c533, 0x167efc49, 0x01aa19c0, 0xda36d87b, 0xe062f37b, 0xcf5d29f4, 0x547d6fa6, 0xfed12e1f,
+    0x2ea69230, 0xd7cb3f9c, 0x0cfa6d29, 0xad69e0b6, 0x5d141f43, 0x660d45b6, 0x39ef1761, 0x4f27facd,
+    0x8ea40c09, 0x40a8bff8, 0x44f3619a, 0x942f0fb0, 0xce4d397b, 0xf908089d, 0x417ddbf6, 0x856d9e49,
+    0xb7912470, 0xcabcf171, 0x136b4c9c, 0x4960d849, 0x48ae5859, 0x959384d1, 0xef955017, 0xf9aa9842,
+    0x0b47f0b2, 0xb9c8db91, 0x4f970e8b, 0x0b766610, 0xf94e2209, 0x8aad5860, 0x232bc396, 0xbfb78b7c,
+    0x5c58a8c5, 0xacf7fe76, 0x83e2427b, 0x57b5801c, 0x2c263ca2, 0x2752dd37, 0xb8d9b890, 0xedd9eaa7,
+    0x5f072e05, 0x43d126b4, 0xd49626dd, 0x8a0c3a56, 0x1029ffb4, 0x5a8e1471, 0x6a60bcc7, 0xecdb41fd,
+    0xa566fc46, 0x11328493, 0x4c23671b, 0xb86d0391, 0x40d08933, 0x991b98c5, 0x47a63343, 0xd524c919,
+    0x05c24694, 0xcbbab427, 0x5d2d7643, 0xf48dc4bf, 0x3f9a7eb0, 0x53eb3341, 0x9fba73ab, 0x2b7601f5,
+    0xcd57265f, 0x82cc18b7, 0xc1ce52c6, 0x71acb6b7, 0x36c2f370, 0x26b14612, 0x4308d2c5, 0x63ef075a,
+    0x67f917d2, 0x1aa7338e, 0x2785e9dc, 0x253eb9e5, 0x087ba1d2, 0x21fcdaa0, 0x23a946a2, 0xc5cd7fe2,
+    0xe4e0b8ce, 0xc11bdfd5, 0x5b70dd56, 0x4a598f6d, 0xd16a5dbe, 0xc7dd5d44, 0x4b5600e7, 0x11848eb0,
+    0xf3aadb46, 0x6c8bae3c, 0x5fc5a67c, 0x2528c0b6, 0x0bc66d6d, 0x993dc3f0, 0xfc764aa7, 0x571df0a6,
+    0x04172d94, 0xca952289, 0x87b32244, 0x33b10fec, 0x2ea07a9b, 0x7d3fae3e, 0x73809b3a, 0x6ca69239,
+    0xddf468c9, 0xbdab28f7, 0xe6beb312, 0x9a1a8e1d, 0xb59bcdf1, 0x2361e7ff, 0x7ee60b7e, 0xa7f4ff9e,
+    0x87ae9371, 0x70398620, 0x17521092, 0x5f23c9d6, 0x7e4091d9, 0xb5fe68bf, 0x7236ebb1, 0x5b863e4a,
+    0x01d62a5a, 0x1c787d1d, 0xcd5660c9, 0x8722d859, 0x482c4cd8, 0x17143a95, 0x1a06ea2f, 0x49abe920,
+    0x17adf447, 0x7a50090a, 0x9a0d9964, 0x681860f2, 0x61d7c753, 0xe05d59fe, 0xdc48fb55, 0x6b4cda36,
+    0x722e0373, 0x2f9c3ac3, 0xb83290ee, 0x024f1f09, 0xec14a341, 0x63505eae, 0xcc9d2315, 0xb7d4d41c,
+    0xa7c0c821, 0x57d83bb5, 0xcd403c26, 0x31b457be, 0xa2275630, 0xf3b074e2, 0x5cc55689, 0xacb354e4,
+    0x07513b57, 0xe35d06dc, 0x520c5526, 0xfe65a8a8, 0xb591f38f, 0x0b6b0c95, 0x3e5bf528, 0xd610c271,
+    0xb39c25e8, 0x690746be, 0x9c03bf8a, 0xcf3596d8, 0x905d6c16, 0xc96639fa, 0x7365b795, 0x49f5e8b4,
+    0xa87a0fac, 0x60efad6b, 0x828c92f8, 0x2b8b4383, 0xf19f6b34, 0x2bc9cbb4, 0xafed43da, 0xb8b79600,
+    0x3f8fe66c, 0x6c656b47, 0xc5de21e2, 0x7ac75897, 0x35ad9544, 0x7912441b, 0xa881c455, 0x647665c9,
+    0x402999dc, 0xb14b703b, 0x6a3711ba, 0x956ceac1, 0xbab0dc3d, 0x156b2618, 0x9f78ea08, 0xa1f16107,
+    0xa3be2ee8, 0x5967a7f5, 0x0356fc2b, 0xa21bcb2c, 0xe0787aab, 0x4799884a, 0x1e1afd67, 0x34516025,
+    0xfeb55234, 0xfc459557, 0x3aa5df3b, 0xbe43f58c, 0x6324c120, 0x983d795a, 0x7c7b1c9a, 0xd5d3d7b2,
+    0xcc61ec9b, 0x3b3e954f, 0xc42e2f06, 0xa4c481c9, 0x113832fa, 0x70ecf387, 0xbbf07c8e, 0x81a8724e,
+    0x7e48cb8e, 0x7ee795b2, 0x19bcd098, 0xac8ff4ff, 0x694a1166, 0x8334957b, 0x7dd4a90f, 0x66d5edae,
+    0xd986a732, 0xf32799cf, 0x50e24388, 0xe642def3, 0x39d6b0d7, 0x9e62bd35, 0x574d89aa, 0x36f83a15,
+    0x94586ae5, 0x0526ef10, 0x5f28d149, 0xb674782b, 0x39f400fa, 0x41bcd91a, 0x67f70860, 0x60cad467,
+    0x771d0f13, 0x75449631, 0x97eddf01, 0xc6c84eea, 0x34bc7fd5, 0x0ff721f8, 0x8f989ab4, 0xaf9c2294,
+    0x6de7841b, 0xbc2a6360, 0x16b6d349, 0x0d58ba1d, 0x0c28845f, 0x4163a1ac, 0x8a5fd01a, 0x4637f9f0,
+    0xb9a67d30, 0xa724b868, 0xbd765a73, 0x1661fa0d, 0x0c89fafc, 0x0716b64a, 0x16250031, 0x0cf9c390,
+    0xd656e94a, 0xa2a1d09f, 0x293bd125, 0x69240e04, 0xcdec0252, 0x39162b95, 0x58fbb09a, 0xd45b358f,
+    0x4d6532ff, 0x1766d669, 0x86d024ff, 0x75fe701b, 0xa9f9356b, 0xb4b089a8, 0x9de37d6e, 0x38775d5c,
+    0x99eb8476, 0xe5380d63, 0x8c0a20d1, 0x3be2216d, 0x737a70ae, 0x5b0214ba, 0x2e7afba4, 0x4e1e618d,
+    0xafb2767c, 0xa8d133fb, 0x3106ddb7, 0x16d02619, 0x03d627fa, 0x360f9187, 0xcaf490a8, 0x1de82a55,
+    0x2acd30ff, 0x207b4d8e, 0x40d13272, 0xc66b4c81, 0x5973426b, 0x18fbc080, 0x0b490195, 0x22b050f9,
+    0x4c334373, 0x218eb7a2, 0xcac2c781, 0x639f1e7b, 0xdc7dc546, 0x36731e1d, 0xcafee1b9, 0x0c8de0c3,
+    0xd4da9501, 0xcb40f5ea, 0x0137c752, 0xe5e4e4ad, 0x0f461c1f, 0x2b9d9096, 0xc361ff29, 0x790ad62b,
+    0xb6e0acec, 0x1e98358e, 0xcf5018cc, 0xa8d351e6, 0x751f9025, 0x491d3643, 0xc3b34591, 0x1967907f,
+    0x31f23bae, 0xa899edc1, 0x3f79c1a4, 0x932ba609, 0x616f0073, 0xfa0140d2, 0x949a81a2, 0x0faaf96f,
+    0x819f497d, 0x71562cd2, 0xf1959abd, 0xb343d4b2, 0x85cf4925, 0x7b7c9d7d, 0xdaa70850, 0xba61eefa,
+    0xb72b7607, 0xd324195a, 0x1fab8765, 0x1523bb7b, 0x6142119f, 0xa7f58ee0, 0xb04a8749, 0x05dad184,
+    0x548a37b3, 0xadf1d836, 0x65644d10, 0xf0a844ac, 0x704545e3, 0xb8d75fc5, 0x7000716c, 0xd91189b1,
+    0x48018866, 0x7d9dcffc, 0xbbb32cce, 0xb296e9c1, 0xeee8d3f4, 0x0cfafefa, 0x6c396da4, 0xb4a02f98,
+    0x702f1e42, 0x6200f73b, 0x6321fdf8, 0x3fe8a8fe, 0x75ee9093, 0xe3d0a079, 0x3702084b, 0x438cd4ac,
+    0xf32cd328, 0xf4b55909, 0x5c21d799, 0x3edc4e15, 0xa88cac0c, 0x7f3b1ca7, 0x9a3245a1, 0xde9142a7,
+    0x152e2425, 0x266e4a70, 0x94a6abd2, 0x12c3d60a, 0xf934c405, 0x21c318a1, 0x9bef7dd9, 0xab1ba8d7,
+    0x53d95654, 0x94bab888, 0xfa1d86cb, 0x4c491654, 0x2bd95c24, 0x7287278f, 0x816d34a9, 0xb7fcfe84,
+    0xbb8218cb, 0x283334e6, 0x5b07d512, 0x341a449e, 0xe98ed783, 0x7a96eeb1, 0x3771d4ff, 0x16f722c0,
+    0x76f66b93, 0x0517e632, 0x0b41c27f, 0xe05ad6f8, 0xfec21a93, 0x0e37ca96, 0x2906571e, 0x4a1e4925,
+    0xcfe5ada2, 0xe4109e74, 0xaf9d6f37, 0xeb40edbb, 0x548bc5ff, 0x6c13b3c7, 0xa2a29462, 0x188db8b1,
+    0xe68555cd, 0x250e156b, 0xb162e6e5, 0x4cb7585c, 0x47dc48eb, 0x4c490b1f, 0x0c9b4877, 0xbe6b6b0b,
+    0xdcf24e13, 0x663ec874, 0x9cb19d8c, 0xcf3ad054, 0x9f746f1b, 0x80e69e7b, 0x0bae6a3c, 0xd9dca1d8,
+    0x95cb6dd0, 0xe547a637, 0xfc76f44a, 0x1830c670, 0xd6ad2fa8, 0x07d8781f, 0xfff8f267, 0x34141378,
+    0xcf9bcff9, 0x3d752a93, 0x9c66a3fa, 0xb0dde23c, 0x149ce6d2, 0x85cb73ef, 0x96539439, 0x0cb31327,
+    0x5d2c9aa7, 0x8b41fb06, 0x765a3aa6, 0x5d74cb8d, 0x34452bb9, 0x82719dd9, 0x30ee3e62, 0xadef2005,
+    0xce991f5f, 0x61342778, 0xf62e86fc, 0x7ea99007, 0xb27f13d4, 0xd5850c3c, 0x9d8d34d7, 0x0ade4b9e,
+    0x0bb7c29e, 0x5bcd749c, 0x1c8a0207, 0xb42aee77, 0xed4b4b5a, 0xf8164c42, 0x62277494, 0xb8f40c03,
+    0x3c494bae, 0xed1040de, 0xe959f6e6, 0xdf9af67e, 0xbafe645d, 0x7a1fbc12, 0xbcb61de5, 0x0eccae32,
+    0x29abd341, 0xea0f553e, 0x9f054ee5, 0xb79ab198, 0x4fa88f38, 0x5fcc8782, 0x978f558e, 0xa24e85a0,
+    0x4717c7a6, 0x4efe7cb1, 0xb1418ec1, 0x8b86c381, 0x53e873b4, 0xd540baba, 0x421f3961, 0x051bdde0,
+    0x46dbef60, 0x00027ef1, 0xfa527698, 0xa166121d, 0x494b26fd, 0x20c83633, 0xe8638d46, 0x7236c85e,
+    0xb9d4af99, 0x45a2e70f, 0x930e2d9c, 0x412ce7c2, 0x46123603, 0xce3451bc, 0x7a1ea576, 0x89f77c7b,
+    0xb48baedb, 0x45c77e37, 0xf23195bd, 0x89c7ad1e, 0x6cb84b45, 0xaec8d324, 0xa1bdaf83, 0xc06363ab,
+    0xbd930c20, 0xa3c6ae5b, 0xe8cf53f1, 0xd31e7e76, 0x430e5259, 0x72b356ae, 0x71b439c4, 0xb3374e26,
+    0xcc12deb6, 0xfbce4d18, 0xe87d208b, 0x74240d07, 0x93af0061, 0x69e66ee0, 0x3105fa95, 0x469228fa,
+    0x89243b2b, 0x6b711a5f, 0xbcbea8d9, 0xd25a3950, 0xc0629a48, 0xe6acc9d4, 0x0a333c7a, 0x1842eb38,
+    0x65dfd55c, 0x926cadb4, 0x5a73dcb5, 0x790e0d01, 0x2d83fe5d, 0x7df6e2c8, 0x441b4694, 0x607f7ac6,
+    0x99cd7446, 0xf1f55798, 0x1409950c, 0xded99852, 0x7e93b4d0, 0xddca7429, 0xa146cf25, 0x7de557b5,
+    0x023975eb, 0x8fe775ec, 0x3b1ce642, 0xdf5bdabe, 0xdca310fc, 0x973b748a, 0x44094ae5, 0x8ba12704,
+    0xc8ce0324, 0x0c34ac4e, 0x16e3ae11, 0xa7c64614, 0xdd9179e3, 0xf16d186c, 0xbb6c5c3a, 0x61b0570c,
+    0x54d6f6e4, 0xc12c7c68, 0xbb8ffc99, 0x8e3454e0, 0xbd54ad19, 0x4810b3b7, 0x04fb3d2d, 0x72b90601,
+    0x8113f5f9, 0xea881f27, 0xc73f3edf, 0xb6d21abf, 0xf3625da9, 0x3051e2dc, 0x09ab8785, 0xe918358f,
+    0x82a8d31a, 0xca67cdb3, 0x9f3fe1f7, 0xbd94a0cb, 0x051ba0fa, 0xc08f9326, 0xa7eee203, 0x481a1425,
+    0x70795c07, 0xa73f4f0b, 0x3d262350, 0xa185beed, 0x2ed041da, 0x79c36500, 0x63be5695, 0x7e8cd1dd,
+    0x049629a7, 0x7833b5dd, 0xde2dfe8f, 0x54a43995, 0x2f6ce751, 0x207b4f95, 0x6cdb0232, 0x43684a8c,
+    0x317bcb37, 0xd8be595f, 0x10faa2ee, 0x2bd77fc8, 0x5ea52772, 0xb14c1620, 0x2835e6b5, 0x51152f03,
+    0x0e16696e, 0x9e78eb2d, 0xdcef6946, 0x908f2d03, 0xe599adf9, 0x3989aace, 0x18029ba3, 0xdabe8f1f,
+    0x23e0c4a6, 0x6f4e104c, 0xe6d0ef37, 0x9a8041cb, 0x62850259, 0x5614b882, 0x3ed4a780, 0x3c713053,
+    0xafc307eb, 0x675ba6ee, 0x59605d1d, 0xc645894e, 0xaec5cea3, 0x4223a353, 0x292f75ae, 0xc9234ccb,
+    0x9b459bca, 0x9fa20ac7, 0xc4b5340d, 0x829a6c11, 0x3aeb1845, 0xfd6d5fbd, 0xe43ca659, 0xda6c40ef,
+    0x5401aa95, 0x9d22fe9d, 0x9f9231b0, 0x8ef47a3c, 0x87aaefaf, 0xefdb3f9d, 0x2b45940c, 0x8470113b,
+    0x1d1e490e, 0xe8709025, 0x0107eab9, 0x4461d7c7, 0x13fcdb31, 0x628a9d54, 0x39a7ddb2, 0x09b3a00f,
+    0x0236c4dc, 0x55920a60, 0xab049129, 0x716444f2, 0x59860588, 0xcee0b289, 0x1ac4f4a7, 0xbf71112f,
+    0x38cc4566, 0xf79a5cbd, 0x5d449acd, 0xa6b7e953, 0xf7188df9, 0xed19e729, 0xdf04988b, 0x29a2b8ef,
+    0x3c66a174, 0x1a79e68a, 0x068753e6, 0xa341731a, 0x2f5fa642, 0x3162252d, 0xaa968f8d, 0x069fa844,
+    0x5913991c, 0x3d4d5162, 0xd9a6416f, 0xcf6ed3fc, 0x4b29544c, 0xe66feb36, 0x4ca55af5, 0xff94f6de,
+    0x6438dc9b, 0x940e088c, 0xfe69bd49, 0x0346404d, 0x6930ce10, 0x076c7874, 0x6eb42123, 0x6dc53f4c,
+    0xba67c3cd, 0x55d6f9ad, 0x5f029a6d, 0x6a3a7023, 0x3ef3dd9a, 0x79d8fccc, 0x375a8c31, 0x94121b03,
+    0xc591b38f, 0x690f0a63, 0x2ae49a7d, 0x6084cde7, 0xf66b5e44, 0x23f70f6c, 0x7d710d5a, 0x2ec0512b,
+    0xe7fe2117, 0x29aee77d, 0x0bab27d0, 0xc07f270b, 0x03881df7, 0x29f164c4, 0x5b1cc810, 0x2491098e,
+    0x148bc46c, 0x846399b4, 0xa17ab141, 0xa42454f5, 0x8b1eeeee, 0xe3a7165e, 0x79fbe124, 0x78438d9c,
+    0xc709ed6f, 0x80deacfe, 0xde7cf5b1, 0x5bcccd1c, 0x3a0ee902, 0x0c121bcd, 0x9cd3bb37, 0xb99059ac,
+    0xdd03ee01, 0x492543ac, 0xc61ed160, 0x5c1ee432, 0x22c2bc1d, 0x72189bf8, 0xbcbee044, 0x4df2f560,
+    0x7c18a256, 0x73cb32dd, 0xfdf029fd, 0x64e16c49, 0xdb21ffb4, 0x15fd8285, 0x276cbb83, 0x26c9fe94,
+    0xfbf581a1, 0xf1af1eaf, 0x36501341, 0xf39682af, 0x53544fbf, 0x03a655fc, 0x3831f8dd, 0x691fc6c1,
+    0xa52a283c, 0x1d251cb2, 0xe5b5a1c2, 0xf2bb3861, 0x692aa90f, 0x5abd9b0f, 0x3505de9c, 0x4a3265e0,
+    0xf11b322b, 0x1af92568, 0x36008a30, 0x36245db7, 0xe83e40e0, 0xdbc9a216, 0x496fec83, 0x847620c2,
+    0xfcd19e8c, 0xd281e2bd, 0xfe974f24, 0xe2100d67, 0x76eaf224, 0x6bd63d2a, 0x2481cb12, 0xb7f44b75,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000001684996666696914987166688442938726917102321526408785780068975640576 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a56, 0x2dc92a6e,
+    0x00000000,
+    0xf4e7d432, 0xb3e8a1a3, 0x05abc0ad, 0x7c216d97, 0xc7925514, 0xa81c3be1, 0xd4596a82, 0x26d6e65b,
+    0x39598925, 0x7502602d, 0x9e402dab, 0x841c2d31, 0x6f59cd3c, 0xd1a0a507, 0xc3541069, 0x88724b43,
+    0xaca69b4d, 0x6432bc71, 0x7ed0d60c, 0xe53d0f2f, 0xb4ffe0fc, 0xf4a62955, 0xf38e7feb, 0x972579dd,
+    0xd3fe60c4, 0xc0e801ae, 0x46eebb35, 0xe5e31089, 0x1a796556, 0xfe5d951e, 0xdcc0b37c, 0x750539ba,
+    0xd327d023, 0x7d7b60aa, 0xfee1000f, 0xf77024b2, 0x3958e3e0, 0xc2028dba, 0x3dfdddce, 0x7af99578,
+    0x1fdb0555, 0x8c9e52df, 0xc39a4b6d, 0x88329c69, 0x9c65c7c1, 0x7b28a5c1, 0xbb0da52a, 0xac74cafc,
+    0x863b1e3d, 0x04bb2694, 0x0a1a59d9, 0x07f20e22, 0x796a69fd, 0xd8b5f2f1, 0x94690fbb, 0x392c9dad,
+    0x83d792f6, 0x17fae608, 0xa90376f5, 0xa03f1f95, 0xe2f9a12b, 0xe09138dd, 0x0e25a1ea, 0xaeaadbe8,
+    0xe34ae701, 0xb6058b88, 0x48db444f, 0x83c3c4ab, 0x9048f683, 0xa4965660, 0x24d01792, 0x80d82bc0,
+    0xbbcdeff3, 0x83c76d96, 0xb7ec5ff2, 0x06d60473, 0xcb506f36, 0x710918a4, 0x6240a42c, 0x9ab877cc,
+    0xc098a9e7, 0x3c7b24fc, 0x27a87c45, 0x281e6ad4, 0xda0de018, 0x0dc67aa7, 0x7e26b37d, 0x3314ca23,
+    0x13a7776d, 0xd6a054fa, 0x0520f200, 0xf2648920, 0x8d32bbea, 0x3df7088f, 0x92f95fc6, 0xa2d0960c,
+    0xd4155ce9, 0x715c8ac6, 0xefaec9b4, 0x5e6a8131, 0xed1ee9bd, 0xc189ab34, 0x6aeb5375, 0x22d6186f,
+    0x7da96361, 0x425ad6d7, 0x1b7315e9, 0x6f66b8df, 0x1ec5e05b, 0x8ede6628, 0x0b9fba5c, 0xf53bb26e,
+    0x8fe1869d, 0x648e5757, 0xb333945a, 0x3da9ffc2, 0xdf264e8e, 0x87231fd6, 0xd64c20d6, 0x3020b564,
+    0xf61dd91f, 0xe810b3df, 0xb884e981, 0x07196d33, 0xfeb4b438, 0x2d98ce65, 0xc8e042c3, 0x497b2c8e,
+    0x416677fd, 0x70d4dbf4, 0x0c3cdac6, 0xbbc4f333, 0x718458de, 0x0bb012a3, 0x689a85e1, 0x11eebba7,
+    0x4fdd04a7, 0xa9f66653, 0x9beccb5b, 0x2c066137, 0x60992f57, 0xcc531d0a, 0x16c8652a, 0x009b78c2,
+    0xdc2cc298, 0xedbd8216, 0x13335382, 0x01ba463c, 0x5d4d48fa, 0xbf8f7ced, 0x6349cc98, 0x5599157c,
+    0x636f4c46, 0x9a8145aa, 0x6026340a, 0xd173d4ea, 0x1e35ae7e, 0x95ae244e, 0x2d27f50b, 0x60ca26dc,
+    0x72a7c99c, 0xfbffb4a8, 0x7085ed3f, 0x0a33290a, 0xc248fbad, 0x6741a241, 0xa1878875, 0x7a2260e5,
+    0x105b4b85, 0x167430f3, 0xed90dfc6, 0x28b9d29e, 0xfe6719fa, 0x42f70768, 0x0281176b, 0x72d03083,
+    0x0195d85e, 0x4fadea21, 0x42019477, 0x3cab72c5, 0x952fbd81, 0x8aee2ee8, 0x3f855157, 0x5ad2fc17,
+    0xc966f7dd, 0x414ca1dc, 0xc170f74a, 0x631adb85, 0x0f91b5c8, 0xa3ddb4ea, 0x011c2823, 0xacce7bfa,
+    0xe4702977, 0xabd4083a, 0xf28d5a4c, 0x5e4c5af1, 0x64267d0a, 0x65b84efe, 0x3300e8bc, 0xa7f46ec7,
+    0xbdc0ac40, 0x38912b08, 0x864f91f4, 0x0bb3d509, 0x652c64a9, 0x51a97727, 0x463006f8, 0x7fa0a201,
+    0xf06393ea, 0xaaf4ef07, 0xbd94b85d, 0x685b184f, 0xc93dda30, 0xfa8c3754, 0x7abaf27c, 0x36fa51cb,
+    0x29753569, 0xa108a1ac, 0x42e7881e, 0xb85a3890, 0x4a34ec5b, 0xee186afd, 0x83e7253f, 0x0decad52,
+    0xb43ba93c, 0x36ebdaaf, 0x8597c2ff, 0x49f7bf82, 0xe51168de, 0x9727cdd4, 0xd546502a, 0x980948c6,
+    0x38c2ec83, 0xfae2dc9f, 0x8dd13f81, 0x691547d3, 0x7ffbb522, 0x1fb9d2a7, 0x6e2bf5f4, 0xfeb9c2bd,
+    0xf527efb4, 0xe5198e2a, 0x2686145c, 0xca9a3a67, 0x49dc855c, 0xa312eaba, 0xf7400c3c, 0xed05c891,
+    0xc95b7f42, 0x685fe3b5, 0x64781178, 0xb68c4f15, 0x9b470504, 0x19cb1f26, 0x2d27eb41, 0xe33c43be,
+    0x512c6d69, 0x2bc211ec, 0x1e70a4a3, 0x8887a5fd, 0x5ccf3206, 0x30de9917, 0x60bab795, 0x08fcf692,
+    0xb87e5774, 0x20329323, 0x7d2240b8, 0xad498237, 0xc5d0a9d3, 0x28c73a60, 0xd0d0d57c, 0xf60df114,
+    0x754d8a0d, 0xc71e557b, 0x11f601a7, 0xa279b808, 0x19537bdf, 0x8bed491f, 0x85c4533b, 0xbd642a35,
+    0x3a379977, 0xfc1cbff2, 0xe30b79dd, 0x42f93d28, 0x4df7f918, 0x0fd46edf, 0xfff221e4, 0xe9710725,
+    0x5662635b, 0x75d373da, 0x850a0092, 0x8dd03fe6, 0xa9e7ae73, 0x15e8b9f8, 0x22a3ec30, 0x9deb8fc1,
+    0x58f97bdd, 0x0acaf8eb, 0x0e358c13, 0x7f962d0e, 0x7e671a94, 0x883411b2, 0x579b533c, 0x48e37883,
+    0x9f5b4f9b, 0x0aef24ec, 0x3b4665ab, 0x83887748, 0xbf376875, 0xf04cff49, 0x6db453ae, 0x3246ce82,
+    0x16ed837a, 0x0a056324, 0xbdd3798f, 0x1d5d607c, 0x80f29eac, 0x56b89269, 0x8b858771, 0xf7ecbeaf,
+    0xa6ce8294, 0x95cbdbc0, 0xdc1aae2f, 0x3398c9ba, 0xafc31c75, 0xe4610160, 0x9a85960c, 0xeda34b00,
+    0xab3a0a02, 0xe70a32cb, 0x99a9aca4, 0x8e0f9bd5, 0x1712b75e, 0x14c2be46, 0x3ee14a11, 0x2ae23aa3,
+    0xc562b14f, 0xf22005a0, 0x3e41e855, 0xe9d50ee7, 0x36d50dab, 0x15b7577b, 0x708a41f8, 0x36d4f25b,
+    0x44a3e732, 0xf26b76ea, 0xc321e289, 0x2fb506a9, 0x3ad87a66, 0xaa98fbb8, 0x79663acf, 0x1b466738,
+    0x54189e0e, 0x7e12d470, 0xcb7ae0d4, 0x17a20801, 0x74571331, 0x7775c27e, 0x55751204, 0x61f25214,
+    0x8f98b3cf, 0x31c04560, 0xbd5fe35d, 0x7b33ef2c, 0xa427da81, 0xb46e45a4, 0x97584227, 0x765d5ba9,
+    0x224da67b, 0xb3f86f59, 0xc8bf3454, 0x18204149, 0xa2168a6b, 0x574ef608, 0x2994b40d, 0x63f4f741,
+    0xa4f2a714, 0x5150dde8, 0xa8c2912b, 0x16c98f04, 0x46095c0b, 0x00375b71, 0x77746194, 0xbdd619a5,
+    0xda4dbe4b, 0xd7eb7954, 0x455c09fe, 0x53edf504, 0x962cd02c, 0x7b1cdafd, 0x8133ecff, 0x95a08d90,
+    0xa8e8c955, 0xe7bc46f4, 0x65c1d0f5, 0x595456e2, 0xbe9d5d83, 0xac88dec2, 0x5b3ec1ed, 0x148f95b3,
+    0x0ca402c4, 0x67daf3be, 0xa3f11551, 0x68963617, 0x063286f5, 0xaca1c65f, 0x63602ce5, 0x7fe093c1,
+    0x376a5bac, 0x46997b1b, 0x3dad0108, 0x1d0a9dec, 0x78528a56, 0x3e340af2, 0x48de9682, 0xf876e239,
+    0x26377e88, 0x902c0e4d, 0x69ee6bcf, 0x29e1e6a1, 0x52826a18, 0xc6ffd3b5, 0x70408707, 0x6c8b7216,
+    0xc49c9955, 0xdf1be25c, 0x80971bd5, 0xf2ac6f31, 0x7d5feb04, 0x9f503b77, 0x6606ce8b, 0xdc81a3b6,
+    0xaf69c280, 0x0a2560dc, 0x1b3a4c62, 0x98a66680, 0xfe7780c2, 0xc0536959, 0x04174c28, 0xf8617601,
+    0x46730067, 0xd1459b08, 0x73d411a6, 0x82263156, 0xe6645a3c, 0xeda980fc, 0xfcf8ab21, 0x0a0fc608,
+    0x93e240fa, 0xf7081598, 0x4fe2e69d, 0x4b7ef8cd, 0x3357b70e, 0xc9929af6, 0xc1f34916, 0xc979935f,
+    0x6580ce7b, 0x3c82acd6, 0x26ee5a55, 0xac6c77cd, 0xed3bb017, 0x9167dc78, 0x990a93e4, 0x93eacdae,
+    0x72d3cae6, 0x46d23a33, 0x2fcbebff, 0x7077725a, 0x5c9be1de, 0xfe11484c, 0xb379038c, 0x7bc0d376,
+    0x442c1b83, 0x0214d130, 0x326222e2, 0x109b0892, 0xa5968f58, 0xcc86b3a7, 0xccda76e0, 0x59a3520a,
+    0x004ae007, 0x57c372ad, 0xd0778f6a, 0x9a6ec364, 0xfab7a1ba, 0xccf93e10, 0xcac4e73e, 0x5fed5d29,
+    0x391cde8e, 0x9f2cc04e, 0xbbadf0f2, 0xc2e67509, 0x9c92a9b9, 0x95db7087, 0x68db0668, 0x7b3f5b40,
+    0x5e4a66bb, 0x457bed54, 0x750a1dfe, 0xb27f96ae, 0x58a024fb, 0xafe06283, 0xadc2e4ba, 0x7dabb983,
+    0x48840c5c, 0x1053c63c, 0x35dc512b, 0x66c8e6a3, 0xe5aeb6c9, 0xed2a2122, 0x5c38cfcc, 0xeca1eeac,
+    0x4a3784ea, 0x3f69f11d, 0x99802d4f, 0x2ba64df6, 0x0525355d, 0xfc01a2cb, 0x3f1b6b50, 0x5a48a4a9,
+    0x7af0e287, 0xe8cae0eb, 0x2a52d739, 0xa6d38d31, 0x1b05dc12, 0x9dd3821e, 0x91b18082, 0x5c3593eb,
+    0xd72b340f, 0xcaaab191, 0x8e10979a, 0x6eb4c6f4, 0xa5c53ee2, 0x7f7fbec4, 0x1b419a07, 0x4a815301,
+    0x2c617e5a, 0x61b2da77, 0xbd45d2eb, 0x19ec6e03, 0xb213387f, 0xe167cfec, 0x4d342bd6, 0xea4166cc,
+    0x18758ce3, 0x83faad91, 0x59f95f87, 0x1a9755a3, 0x95395987, 0xb6b579c7, 0x6a1c91c2, 0x4a0759e8,
+    0xdc35fb15, 0xc271a3d4, 0x650c25c9, 0x8d95e8b1, 0x37dfdc5d, 0xea375000, 0x2248ae41, 0xd9e7fd8a,
+    0xfde8db8e, 0xd2e3cbc0, 0x6aab91ad, 0xc24f4c99, 0xc7a8fcbb, 0x9d8fd7ad, 0x729a3d19, 0xd2af4b0d,
+    0xc9f6f65d, 0x527fff48, 0x40d8b5e3, 0x29f6acc4, 0xc1f32f0b, 0xe85bd3d9, 0x430acc22, 0x81996495,
+    0x6b0afde3, 0xa7a08cb0, 0x6ba77a5c, 0xde4a4e0b, 0xe0498be7, 0xea534635, 0x75f79dd8, 0x95312a99,
+    0x876d9364, 0x5f43e294, 0x74b81d71, 0x839267a4, 0x79014f92, 0x100422b6, 0x43e4d546, 0xb4b65e21,
+    0x08f35df2, 0xc9f5ec36, 0xecf6c133, 0x0728d627, 0x6e77f301, 0x8633bef8, 0x1d629418, 0x865bb6b1,
+    0x0af00b1a, 0xa4e3301c, 0xbae05f2b, 0xf1b0eec9, 0x468f88fe, 0xdc04e4e4, 0x35b575b8, 0x285cf030,
+    0x12888c5a, 0x42beee76, 0xa3afe852, 0xfaaeea9a, 0xb88eed5b, 0xc19c4af3, 0x711ece51, 0xd551cc66,
+    0x46cd218d, 0x6859410d, 0x99e5cfdb, 0x4480e7da, 0xb48dc9bd, 0xac490c80, 0x9498b000, 0xbe532eef,
+    0x9dedbc25, 0x88a89489, 0xb3f788b5, 0xd4678e34, 0xd4706bcb, 0x74e95b89, 0x62cadcc7, 0x5573d227,
+    0xf125b5fe, 0xf442237d, 0xbe57cc73, 0x83d60887, 0xe02639ac, 0x7a427ca4, 0x61593d0d, 0x468c6258,
+    0x86f73cc9, 0x71d62eb4, 0x9cce3459, 0x94908553, 0xaef45eb7, 0x1775edaf, 0x8ad2ef66, 0x4554b8f5,
+    0x5bcef8db, 0xe5bed711, 0x9d0d1801, 0x57b40ba7, 0xdbfe8de0, 0x270e2100, 0x0f7971f4, 0x7c1e21e9,
+    0x1f64c5c8, 0xbde88670, 0x4156026f, 0x10086708, 0x5018f62f, 0x3b4ee2e9, 0xb2695722, 0xf12b39b7,
+    0x9d395113, 0x833406ea, 0xbc6cc9e8, 0xf37a68c3, 0xda8110dc, 0xf46fc301, 0x3e3eb298, 0x770cb86c,
+    0x438b2c23, 0x66db14fe, 0x0c7bc638, 0xad09a692, 0x82ee047c, 0x723a820d, 0x3e199bac, 0x7f26532d,
+    0x1f695720, 0x2e41bf90, 0xa68d10f6, 0xf3832253, 0xf61b7bef, 0x82546e29, 0x49cdf9fa, 0xaf4f31e9,
+    0x9c7a5f8a, 0xdcde346f, 0xa48c8316, 0x7a827841, 0xd582a5e1, 0x341f3ca9, 0x9cb3372b, 0x8ac254f3,
+    0x6f366024, 0xe468f6f3, 0x6cd930f0, 0x374070ab, 0xd54cef88, 0xe53e2cd2, 0xedb4d531, 0x2b0e3f2c,
+    0x17e9bbaa, 0x091034f0, 0xe7eda6ef, 0x47a0bb3c, 0x8c869c5e, 0x55bd7cef, 0x0b1de0d7, 0x7bd2b0dc,
+    0x53164bd2, 0x57c85e76, 0xfae56df6, 0x51b113de, 0x9a8e3c82, 0x7243cb0f, 0x4c30495f, 0xd46bb4d3,
+    0xedec2be9, 0xc7013e74, 0xcf308a89, 0xdf08d2b8, 0x308fe0ba, 0xc402977d, 0x869631dd, 0x9ae5506f,
+    0x18116da3, 0x4f93c8cc, 0xad3be6b9, 0xe481f265, 0x18046ab2, 0x27f4bf45, 0x3eef8c13, 0x0503732a,
+    0x7a0feb5e, 0x6ff5c9a4, 0x6960dda9, 0xb55a14d1, 0x88eb0210, 0xd74bccb8, 0xcca393ec, 0xf94877fe,
+    0xfd431752, 0x3d7c8bd2, 0xb179fed0, 0x783b42a3, 0xa5bedad5, 0x485fc355, 0x1556f029, 0x2853ebb2,
+    0x280c479c, 0x7fad3d5f, 0xf30d2889, 0x9ee79d8f, 0x2ebc3ce5, 0x815f3e3b, 0x8a6025b0, 0xa2375597,
+    0x4842c0d6, 0x02e0a71a, 0x0f9a4a08, 0xf35819c4, 0x1f78731a, 0x77978b02, 0x58c0239c, 0xd5a6bb2c,
+    0x89781550, 0x8b1cf21a, 0x0126b24e, 0x09672193, 0xdb202411, 0x14ea88c3, 0x4e0e7413, 0x1d36a1c5,
+    0xff327511, 0x9a9ac3f8, 0x26052a1d, 0xa47df741, 0xe105aa06, 0xcaa56c7a, 0xbfb32dcc, 0xcfc89cc4,
+    0x69524088, 0x7dfec704, 0x0967e0a7, 0xde801266, 0x7ab5c7c3, 0xf5fb88e5, 0x7db83d60, 0x47753e4e,
+    0xada3189a, 0x0abbd56e, 0x544bae5c, 0x95918507, 0x8fd3d920, 0x03d1bf3a, 0x3e23beb1, 0xfa80ee58,
+    0xba48b36d, 0x72bb4e8d, 0x5ee77c9b, 0x5c5d5bfe, 0x25ad3636, 0x331e9c8a, 0xc8aeb89b, 0x2f0b2fd7,
+    0x4b3b9eb6, 0x1fa74504, 0x6ab2f3e5, 0xdb0543f7, 0xf0094201, 0xc3bb2e07, 0x6a87dd11, 0x250382f2,
+    0x03290c39, 0x0a743afa, 0x9d27eeb0, 0xd3b37b18, 0x2c2c514e, 0xb826d9fa, 0x73bbbd1b, 0xc924d4d2,
+    0xf666a499, 0xaab143ff, 0xa0e6d9b9, 0xe25292f9, 0x5c4212f3, 0xdf190571, 0x4c82564d, 0x6ca2187f,
+    0xc21189c9, 0xeafc26fe, 0x64eef6c6, 0xc962d5b1, 0x7d042cc4, 0x1e0df93d, 0x4e374dba, 0x04bd181a,
+    0x0eb0ff22, 0x8a1c8093, 0xcbb672af, 0x46c75bb1, 0x7a880c11, 0xc66280b3, 0xd6a87559, 0x68ddb341,
+    0xd7f6fbfc, 0xf3b1e745, 0xdc4f0b6a, 0x1363f271, 0x924db54d, 0xf09b3536, 0x2c460fac, 0x20d9c103,
+    0x52b2b7c7, 0x7928dcca, 0x0cb530e1, 0x3e35cc20, 0xf0ad4dea, 0xe556e001, 0x8f622a92, 0xf018cc33,
+    0x402460e1, 0xae69eba1, 0x3e0f1327, 0x8c251123, 0xd97f9d5a, 0x8b65e6d2, 0xb7e5514e, 0x89894c8f,
+    0xa9526091, 0x208e3604, 0x5bf6a8c6, 0xa17faf57, 0xb0d2af1b, 0xf8aa74d0, 0x374667a6, 0x137c4813,
+    0x900c7d7b, 0xbf44ac93, 0x7bd5984c, 0xae3ba1c0, 0xb45ca21c, 0x1cc2be2b, 0xfcf20c2d, 0x1b255cb7,
+    0xf3bbe9e4, 0x06af6453, 0xd16661a0, 0xf3bb8474, 0x542e5ec9, 0xbb4bb819, 0x58e46ffc, 0x6845371b,
+    0xdd7ac65a, 0x4c21e78c, 0x5163aaba, 0xc072b1e9, 0x415f4910, 0x2dbf323e, 0xd2f232e9, 0xaacb0480,
+    0x42407bdb, 0x3eddfc13, 0xfbba1f15, 0xb41358ab, 0x08420703, 0xd57b0415, 0x7eb4c71e, 0x65e13b76,
+    0xfd9dcc42, 0x1d83daa2, 0xc0fde3cf, 0x1b5e5a22, 0x6f93622f, 0x20abf3aa, 0xc6bed58a, 0x3b6aea3c,
+    0xb490fb42, 0x1b0a4692, 0xc3a748fd, 0xacf21db7, 0x55c2b1b1, 0xe35ae8b1, 0x2d500aa6, 0xf9fb138e,
+    0x40d67054, 0x9c9693ff, 0x0f154a1a, 0x0e6db026, 0x381de923, 0xbc93b2e8, 0xa08cb78f, 0xd586be5a,
+    0xfe3d45fa, 0x4372edf4, 0x9b504d4c, 0xccfdeea7, 0x6d6723fa, 0xac35bfe1, 0x12204ca4, 0xa7555f62,
+    0x196055db, 0x6a2e25e6, 0x5375110d, 0xdaa7741a, 0x02c565c8, 0xdeaad0cb, 0xb9932b7b, 0xdc27ba1e,
+    0x88239614, 0x599691fa, 0x83e87dd3, 0x341cf244, 0xd547c071, 0x724846e0, 0xac5dc7b3, 0xff5e5834,
+    0x4ee02d7e, 0xc8bb4407, 0xf7e36a0f, 0x5326dacd, 0x87d27f9e, 0xf0dd4b2d, 0x013f36e5, 0x04a5974a,
+    0x6eff6ede, 0xe5897a86, 0x270f3997, 0x18d8b6ba, 0x1c449a73, 0xd6b04854, 0x7d555b17, 0xb3278c71,
+    0x63d5a677, 0xf19aceb2, 0x6303296b, 0xb704c8a7, 0x32e54d32, 0xf3b7df29, 0x544080cb, 0x2c08e79a,
+    0xcc4dc9d8, 0xfdc16471, 0xa669341d, 0x92e5c4ad, 0x6625c7c8, 0x5ccba5de, 0x3a1971e1, 0xf77ce4b2,
+    0x2766a42c, 0xa8710715, 0x0e72191e, 0x4923e418, 0xbed4c6da, 0x44ad6239, 0xc40324c0, 0x2ba12a3b,
+    0xb95a9fa5, 0x18879fa6, 0xd0e3d171, 0x8116aec0, 0xa4ae04b8, 0x7e9cabc2, 0xb869f6f4, 0x46e4d531,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000842498333348457493583344221469363458551160763204392890034487820288 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52b, 0x16e49536,
+    0x00000000,
+    0xfa642f9c, 0x66d7cca9, 0x28fba7dd, 0x12c56c45, 0x5e64ba30, 0x98e3d95e, 0x69ea0300, 0x9cb5a9b6,
+    0xe50c0b3f, 0x3274b2bc, 0x71991635, 0xbe72619d, 0xb3fad59d, 0x9c320822, 0x42ce9902, 0xd2eb2645,
+    0x386323ca, 0x0e7587a9, 0x15abae38, 0xcc68a910, 0x95e1db72, 0xd31df9cd, 0x592aee75, 0xf005eedd,
+    0x905abc42, 0x35c42d7f, 0xecf362b8, 0x4b0cc584, 0x3ca18334, 0x2552e0da, 0x875560fc, 0xe1bf7484,
+    0x08eb6ba7, 0x5a8050eb, 0xa79c0f85, 0x4a81b580, 0xb39152ab, 0x44edd8d5, 0x64d8d5b0, 0x2ba24166,
+    0xdcbacb32, 0xa115e419, 0x2ae295ef, 0xd07e045a, 0xcb212c63, 0xd6d97f97, 0xbecec481, 0x977e7bc7,
+    0x08983d65, 0x3ebae180, 0x503eb4ca, 0x21434d0b, 0x6c236b26, 0x603b0ce5, 0x2f2b1709, 0x907817eb,
+    0x9089621c, 0x33ce765f, 0x7ec1ffab, 0x907a9821, 0x8ff9b5b9, 0xa258c135, 0x5b93b8b8, 0x79537aa3,
+    0x5ba08055, 0x0288a96b, 0x3b869c12, 0xae56e7e4, 0x44fd594c, 0x10575369, 0xaaff3726, 0x44372fa9,
+    0xf5508ab4, 0xa4083638, 0x646c5679, 0x1577ccc2, 0x434aecde, 0x574343dc, 0x2759e228, 0x3e7289a4,
+    0x937d3bfc, 0xc19ee742, 0x81240e80, 0x3b532c84, 0xbf5644cc, 0x3393a693, 0x6a5db484, 0x6a610348,
+    0xafd806a6, 0xf096f169, 0x5907e2fa, 0xf55930d4, 0x3dc385a7, 0xb3eed9ee, 0xcbe2ff03, 0x55f50f40,
+    0xe5a43444, 0x271cc636, 0xe8fdf010, 0x2a16b442, 0x4bc8edf2, 0x609b349f, 0xf7bbb483, 0xf85ce0f7,
+    0x1932e5a3, 0xcf4472d6, 0x7b4dfc91, 0x979c29c2, 0x96d968d3, 0x2a1a407b, 0x874ca46c, 0x12d663c1,
+    0x219aeb07, 0x223de9f9, 0x391aa51b, 0x506b4759, 0xbf93d0e8, 0x94c1362a, 0x0eb08929, 0x6894a55b,
+    0x3def1d57, 0x1fac9226, 0xa87affc0, 0x5709ce14, 0x8f2d2e96, 0xe2c10b58, 0x2f3259af, 0x2e360130,
+    0x24323c48, 0xfc3e6913, 0x72f59c4c, 0x4168fd90, 0xab6172aa, 0xfaf22c43, 0x4a65744f, 0x983dd84c,
+    0x6dc2289d, 0xce1493e0, 0x5ba5bcb3, 0x1d275d4a, 0x5d8b78f1, 0x6310fe73, 0x2bfbcc6b, 0x5f4c68ae,
+    0xcaf191d8, 0xadd7f95a, 0x6dec890d, 0xd55561ad, 0x4afb11b8, 0x75309b8a, 0x3d916b65, 0x127b7f13,
+    0xa09db088, 0xbd659ad0, 0x9f6b99dc, 0x84f2e325, 0xb9d6eb76, 0x0509879a, 0x419a0559, 0x00a756d4,
+    0x8f113b0a, 0x98c80347, 0xd480b545, 0x3b53d867, 0xc8539272, 0x0bbc424d, 0x007567ae, 0xff57b14d,
+    0x05549317, 0xbd24fa6d, 0x0c0f04cb, 0x278413c6, 0x81f31235, 0xd94069c8, 0x080b4e37, 0x60fe0fb2,
+    0x352d134c, 0x6850dde6, 0x08f6df95, 0xb84aa86c, 0xc07c7e28, 0xf430d15d, 0x137e4b16, 0x3f99e53b,
+    0x18576ee4, 0xbe55b0cc, 0x5b9ed444, 0x0daac39d, 0x0896c6ca, 0xb66043d5, 0xd2e380e5, 0xe56011be,
+    0xc6de9242, 0x7102d656, 0xc94e835a, 0x7a633d07, 0x1d864f0d, 0x5bf9860b, 0xa490bcfd, 0x440e2b79,
+    0x4250bc0d, 0x9ac084c2, 0x2cf3c207, 0x4a30d76b, 0x0251d5bb, 0xc7a83a9a, 0xeaa396e8, 0x5ba788dc,
+    0xc83cfcde, 0x5f6493c5, 0x8283fd50, 0x1f30ea7d, 0x797e0afa, 0x0e95a514, 0xd5b6050e, 0x0478f5c8,
+    0x083a7a90, 0x19c22f48, 0xf5168711, 0xff521a5c, 0x61475d3a, 0xd7dbe096, 0x7114c8bd, 0x1edd3ed4,
+    0x84bacb21, 0xfb556b45, 0xb95ac4d5, 0xa665328f, 0xb81c2e26, 0xf50a6494, 0xf521bfb6, 0x64362112,
+    0x996992e9, 0x432cfcd3, 0x28b2854d, 0x596b08c5, 0x9904aea4, 0x6833171f, 0xe53bc79a, 0x15c88bf6,
+    0xe37bea4b, 0xb6421470, 0xe2d6f566, 0xe71ca532, 0x7b3babe9, 0x8f5cb415, 0x97b5f14f, 0xf2018129,
+    0xbb85faed, 0x9a7cd997, 0x813f69bb, 0x84c8c939, 0xf7fbdd1d, 0xa49db920, 0xd90de32e, 0xb0a2bd1e,
+    0x25089dc2, 0xae1ad780, 0x754bda38, 0x05584dd8, 0x40828dbc, 0x71584508, 0x3794f1f4, 0x31ff916b,
+    0xbb94253e, 0x61005608, 0x4917dbae, 0xc9c45bd3, 0xe76a3062, 0xc045ed67, 0xf02e77d5, 0x242eaa44,
+    0xc57d5626, 0x23d11d10, 0x967d235e, 0xec520d00, 0xea70a78a, 0xa8d97307, 0xef4d3475, 0xeeebaba6,
+    0x691ac395, 0x5577b6b1, 0xbbba7af4, 0x7178d9a8, 0x5977b23b, 0xb635c13d, 0xeb81ddeb, 0x4d926690,
+    0x0a459651, 0x497a336a, 0x5c4a6303, 0xef966ad1, 0xe74ebf23, 0x9e8a0f69, 0x29158915, 0x10595adc,
+    0x824f45ed, 0x38db8825, 0x91cb3ee6, 0x06a48b5e, 0x6e3fdc8f, 0x14f31877, 0x0b0ac911, 0x8890027e,
+    0x14a26f27, 0xbc16d934, 0xc56171f0, 0xf9ce91cf, 0x9f4e2a04, 0xa47bf39c, 0x359e554d, 0xd0e3183f,
+    0xd0a7ff99, 0xc9b3db30, 0xafdcce7b, 0x1cb5681b, 0x74faadff, 0xd81f9068, 0xcc054857, 0x30bf7c38,
+    0xb0598091, 0x3a3bebec, 0xfa7591eb, 0x8b0d703b, 0x1e2d06a4, 0x46b776ea, 0xb3cf4e23, 0x0f3242a7,
+    0xa4b8480d, 0x3699ff70, 0x7295429f, 0xef78f47d, 0x3bb73168, 0xeb84ca78, 0x79bc6c9e, 0x919e1450,
+    0x3f845d92, 0x0593a002, 0x6b2aad7b, 0x404eb490, 0x82a94960, 0x971d27c7, 0xfe0ef7bf, 0x3e3273fb,
+    0x05928be3, 0xf4e097a2, 0x57b91aa5, 0xad656584, 0x88b9cd20, 0xfc036e76, 0x859cde61, 0xe8216932,
+    0x9d7afbdc, 0x33cad25a, 0x5cef54f5, 0x23ba11bb, 0xa85146dc, 0xc4118b13, 0x23f0c35c, 0x59a01ae2,
+    0x98309455, 0x27ef9131, 0xd7231899, 0x581b8389, 0xab56c3e9, 0xc9490103, 0x9f5b4c04, 0xcf681ffa,
+    0x4f692097, 0x1df0e0ab, 0xa6100928, 0xaef5d7e4, 0xc09200e0, 0x860800c6, 0xc91a0ab4, 0x8b99c6a2,
+    0x904af090, 0x760b59f0, 0xa4d8031b, 0x31a0f04b, 0x7a3909f7, 0x936d5926, 0x5c582099, 0xc963a980,
+    0xea6c505a, 0x2e18c84c, 0x8dca158a, 0xb7c800e6, 0x638ba881, 0xc455af75, 0xc4c1903c, 0x1eb8cadc,
+    0x35a14829, 0x1001248e, 0xf7aefbd8, 0x82b8602f, 0xed811faf, 0xb95ca07f, 0xb182a626, 0xb8a38961,
+    0x191d06e9, 0xa47d737a, 0x41c29382, 0x4a68979b, 0x74334a03, 0x0d462a31, 0xe4bd6de8, 0x4c061020,
+    0x08851601, 0x4190937e, 0xef6e6b31, 0x5ce00e0e, 0x56cb5a17, 0x7bdca04a, 0x596ed376, 0xf102b13a,
+    0xf1099a74, 0xc86777c8, 0xbdb9fea0, 0x8814012b, 0x15d7ac07, 0x808cf8fa, 0x6377b35c, 0x70a9452d,
+    0xeb711b21, 0xec21a41e, 0x74b34bcd, 0x01c10957, 0x9aab2433, 0xe31d92ca, 0x606f1c8b, 0x08caf7c2,
+    0xd3034b61, 0x2b5e380f, 0x54c7b23a, 0xe38db984, 0x374730b3, 0x0d546b89, 0x3e7990f7, 0xdc58466c,
+    0xe81c6253, 0xe4ad56a2, 0x8d204a18, 0xc9e15449, 0xd1cace5d, 0x90a0c39e, 0x5f5bfd07, 0x18600551,
+    0xa9eda90b, 0xa8fa8aa0, 0xa28be72a, 0xcaaddd3f, 0x4fc4d6dd, 0x2ab5f589, 0xedde1dcd, 0xd644a0db,
+    0x66ce3c9c, 0xb1710bcb, 0xed463689, 0xaa61b1f4, 0x1b38d3c9, 0x931e871b, 0x73ccf9c0, 0xdbd02fcf,
+    0x9144e67c, 0x2108c8e6, 0x3371fe77, 0x9ddc65ac, 0xf49a7739, 0x4b84ea7e, 0x565aa157, 0xc26eca0d,
+    0x4ef51d71, 0x1165e04a, 0xb67b5d82, 0xbf51c807, 0xb87c1345, 0x8a6c4048, 0xa89c7f1f, 0xe0164db8,
+    0xeaaf189b, 0x245d96f5, 0xb942e995, 0xf4cf4696, 0xa8ff53de, 0x7e0ae2c5, 0x62a533ca, 0xe14017d4,
+    0xb85deef3, 0x07463712, 0x7f2c0f14, 0x256b9e9f, 0x16186fe7, 0x325315f2, 0x2833f28e, 0xbd0eaa1e,
+    0x30ee9db3, 0x46118e0a, 0x34f28d5b, 0xcf7a48bb, 0x76e691e8, 0x767a2e72, 0x096e05fe, 0x8df36cf1,
+    0xe0f46a34, 0x6722a430, 0x6dbbd391, 0x8a93b7fd, 0x8779ea3a, 0x0411f6b1, 0x781c3eb4, 0xecb952e2,
+    0x0d955ba6, 0x3ad0ef58, 0x473814da, 0xc189fb92, 0x37d7c303, 0x4eb0ed9c, 0xbffd2973, 0xbc4f4b9e,
+    0x77dce1d0, 0x99fb9427, 0x6cfca6d8, 0x50ed33e8, 0xdb754b23, 0x2fa417c1, 0xa8661643, 0x52ead8e9,
+    0x6a6c7cad, 0xbe2df8a0, 0x1dd9e1f5, 0x7eef5ecc, 0xc8b3aacf, 0xc5098328, 0xae716d7b, 0x57dcb746,
+    0x1bfe0002, 0x7d23e996, 0x119b2df9, 0x8cacecf7, 0x6bcd3b6d, 0xb5e9bf8e, 0xb795cd7a, 0x25ac3757,
+    0x16f23c72, 0x49c2a09b, 0x01394093, 0xa28b02b7, 0x99e21e29, 0x75c0a1fb, 0x62648e75, 0x1b49198a,
+    0xba288f09, 0xded20258, 0xbb2b69ef, 0x6f56bbc8, 0x40caba61, 0x45689439, 0x1b604996, 0x832aa299,
+    0x0ad0a8d7, 0x44785d5f, 0x71512fa5, 0x6ef10bf2, 0x53b536b2, 0x293aa1ee, 0x7fc976e1, 0x3affd908,
+    0xa3672d3c, 0x9c63063e, 0x2d8f8c0b, 0x42508d89, 0x69b8460e, 0xb08e6aae, 0x80dc1a60, 0xb3f12f21,
+    0xb8380a31, 0x7003ffa3, 0x6ac0eaef, 0xa8cdd959, 0x009af66d, 0x6bb58f2a, 0x98c8d941, 0xa641eaa5,
+    0x071631b1, 0x2d11436d, 0x0fc12983, 0x1d28313f, 0x1c660bd9, 0x3583708d, 0x4be05d64, 0x542c82e8,
+    0x6439ba1f, 0x718b365a, 0xd34ff7a2, 0xdd0dcd12, 0x0f7b6ba7, 0xb8c36032, 0xbba74f3f, 0xc68a075f,
+    0x876532cc, 0x1acfc17b, 0x01fc91ef, 0x620d6981, 0x1ceb6180, 0xd858e43d, 0xc277b661, 0xa17dadf4,
+    0xb8fda870, 0x7b33220b, 0x5ce9461d, 0xb1564718, 0x7ed99c21, 0x0b30dc09, 0xf416d65e, 0xaf6ec706,
+    0xee8d8359, 0xe2fbf9c4, 0x8263e9b9, 0x20ae91fb, 0x23748e03, 0xe2ed3c2b, 0xe02a4004, 0x68ef07ec,
+    0x3536c244, 0x09960e95, 0x5cd6b8ab, 0x6fc94f89, 0x86812d15, 0x5a869994, 0x00a663b4, 0xcbf5e236,
+    0xf16c90dd, 0x8e2266e8, 0x42ff8a3d, 0xb891ffb8, 0x1c04d80e, 0x8fe39e53, 0xe57b3ece, 0xcfc92cef,
+    0x2592d786, 0xc93fa94e, 0xdd7ffd29, 0xddbe2cd0, 0xf9593cdd, 0x524f79f8, 0x1f42b7c4, 0xc76f745e,
+    0x8cd9ae26, 0xe282d76e, 0x1a8af868, 0x53f4b16a, 0x443b2448, 0xd75e93f9, 0xc1877b59, 0x7cf710a9,
+    0x41c68960, 0x384f417f, 0x938bad7b, 0x9fcc78d9, 0x1e479078, 0xdec27419, 0xd6d1357f, 0xa9b3c51d,
+    0xa54045ae, 0xbd3bab69, 0xbba98a3c, 0xf6074c35, 0x50b0955e, 0x5570ca90, 0x130046bd, 0x78f47e05,
+    0xa52ac0d2, 0xd6cd40e6, 0x77aa342e, 0xee2c4523, 0x2d7cb805, 0xaa9af97e, 0x4d740431, 0x3251f05c,
+    0xd69fcbbf, 0xb8ee834c, 0xd17b0bbc, 0x18258b5a, 0x2d0708ea, 0xd310fcd3, 0xcf96592a, 0xe5a7e4ac,
+    0x9d57c1c6, 0x4c74023e, 0xa52dd39a, 0x6e4cd34e, 0x4348ed7e, 0xeece5e03, 0x010d80c5, 0x972e7619,
+    0x5992b77d, 0xec432df3, 0x20cd1e57, 0x26e46087, 0xc9b70945, 0x2bb2306f, 0x0064495c, 0xcb770cd9,
+    0xf1038fb6, 0x8ba47139, 0x353a47d8, 0x7f1315d4, 0x7aaac25b, 0x92bd2971, 0x353b6460, 0x29595355,
+    0x1a13b216, 0x6e468952, 0x416ad6ea, 0x6077ff4f, 0x3e9061a8, 0x2bfaab8f, 0xb9fd312f, 0x1c3b9271,
+    0x8c790701, 0x77a6a810, 0x30f5c87a, 0x5780a686, 0xf300efc4, 0xaf959c04, 0x64f85424, 0x36ab2ce2,
+    0xd41b03e8, 0x0335528f, 0x7ce37590, 0x9e05513c, 0x4d0aa9c9, 0x9d199cbb, 0x75574b59, 0x72164264,
+    0x2c5a45b9, 0x4ff25764, 0xf2b0c62d, 0x7e1a2cb3, 0xe89eaa28, 0x840c52d8, 0x8a8ceed1, 0x8416b952,
+    0xb529d0f9, 0x4ff6c7c8, 0x3ff4dc90, 0xa2e20d60, 0xcaea2f40, 0x97b3b729, 0x90b2e836, 0xae7d2c2d,
+    0x2f50f645, 0xbcc48ccc, 0x8dc45716, 0x072edd25, 0x27c30ed2, 0x35f73418, 0x0ff0bb4b, 0xc5b69f11,
+    0x91d3cfb4, 0xe41eda10, 0xd2455f28, 0x73b4b825, 0x31e25f08, 0x9faab46e, 0xdd9a7d40, 0x35c88198,
+    0x3760415a, 0x177589b4, 0xc35623d0, 0x9ed7e719, 0x46a0fe9a, 0x9820c634, 0x1b086753, 0x190409cf,
+    0x2d248c10, 0x5ae48a0e, 0xbd76b8b8, 0xea98ea56, 0x0362ec48, 0x72cf2be6, 0x01cf0b46, 0x982b3641,
+    0x8a6c8ed5, 0xde7817e1, 0xb62c824a, 0x51fe322e, 0xfd25850d, 0xd43d8067, 0x3c47452b, 0xf61be80f,
+    0xf77f85ed, 0x00c5638a, 0x8aa56873, 0xf823682f, 0x4470636d, 0xbdb0d46e, 0xfcbff50e, 0x8f7c6571,
+    0xdbd55442, 0x10738257, 0x43e6f558, 0x9e17c3b8, 0x48c11362, 0xc275fcea, 0x993d7c4f, 0xafa77f20,
+    0x7d492d43, 0x46e1f11e, 0xdc0fc68e, 0x5a362917, 0xc78240a8, 0x6d40ff1d, 0xb6a70ffb, 0xf6c69e24,
+    0x47fcc71a, 0x5fd82304, 0x039941a0, 0x38288c55, 0x2ff42512, 0x2dea645c, 0xd38e68d3, 0xc6449e65,
+    0x73c164b1, 0x30de2c9b, 0x1abbfd47, 0x00c71c00, 0x7cfd5a42, 0x503be502, 0x72d3bd89, 0x95556ba6,
+    0x779aec8c, 0x45564602, 0x4d9cd944, 0x0b2aac8f, 0xcc821804, 0x5b51da94, 0x1e7eed74, 0x223ebb50,
+    0x64e1257e, 0xa877264a, 0xed38b791, 0xa2c61f19, 0x0634f26b, 0xc4061021, 0x4dff2c03, 0x7b9fa9ea,
+    0x173623cf, 0xb0da6f62, 0x1391e32b, 0x1d90b82b, 0xb10b86fe, 0x3681a3f5, 0x284e2601, 0x9d628cd3,
+    0x17ec724a, 0x7cf8a7e5, 0xf18dacd8, 0xf61a7c39, 0xd28ec8c3, 0x9200d770, 0x5d4b9218, 0xc4a6a57e,
+    0x6d93829e, 0x59bd28d4, 0xaf3ecb4d, 0x29093b06, 0xa69c08e3, 0xa1008c6f, 0x80ce42f9, 0x510e0954,
+    0x7b90b1cd, 0xcef28f6f, 0x8b42b0d2, 0x1a2f2470, 0x66c1d2ed, 0xaad92fee, 0xb00f7803, 0xbb47c783,
+    0xdd0aa8ae, 0x4c63d241, 0xd737303a, 0x668e037e, 0x5b1791ca, 0x4fdc38d4, 0xddcf0e2a, 0x1cf35bf0,
+    0xb41f44c1, 0x778ba37f, 0x9118929a, 0x527c6fae, 0x24b47675, 0xf74d0116, 0x76ced12a, 0x0c305bba,
+    0x13ee0555, 0x89c180a3, 0x926e563c, 0x9ac98f60, 0xe25cc585, 0x4b0b0e6c, 0xbc46fad2, 0x56c5c43e,
+    0xc69bb6ea, 0x99f548bb, 0x2d27684d, 0xbd489f80, 0x2b52278e, 0xde76e323, 0x33462c3e, 0xfa86290b,
+    0x84bbe3b7, 0x25852f53, 0xb723b228, 0x7c5054aa, 0xb8ecf81a, 0xc6cefd6f, 0xd1db9fcf, 0x6338ec43,
+    0xc6936d62, 0x44df3d26, 0x8f4d5370, 0x2b569e72, 0x79cfa4cb, 0x036705ee, 0x3f6c0d68, 0x2b06181d,
+    0xec877bdb, 0x084102b7, 0xde22cbf6, 0x15a8c4ab, 0x429bfb59, 0xd8fe8e7c, 0x67b39708, 0xfd9a6121,
+    0xa63c86f5, 0x9dd4174c, 0xc309512f, 0x328e4935, 0xa8616afa, 0x4f7d01b4, 0xd8025654, 0x79a031e9,
+    0x428bfb28, 0xc6038e37, 0xe77f88ca, 0xac99528a, 0xc5e270a6, 0x0628283e, 0xd97628dc, 0x6b0f7820,
+    0x21b156a4, 0xe814d674, 0x0bea66dd, 0x831c5923, 0xe775989c, 0x0ddffbbc, 0xb82c0563, 0x1975714e,
+    0x966089e5, 0x17ef8d4c, 0x2d95ee89, 0x4ab6067f, 0xfd73a9e8, 0x99c19929, 0x96635280, 0xc1cefd6f,
+    0xd2f5f17c, 0x01116433, 0xda1705aa, 0xa4e791a7, 0x2219934f, 0x1b4c50b5, 0x059eb126, 0x97ec0465,
+    0x500df630, 0xab068c9a, 0x0b61922c, 0xf18828e3, 0x1944ed9b, 0xcd323a0f, 0x9ac62a48, 0x17e46c6d,
+    0xfb194379, 0x2c748cac, 0xf0262236, 0xa93b7eea, 0x018009f0, 0x9071b074, 0x28a5b407, 0xd9fb16b3,
+    0x212585e6, 0x5c653fcd, 0x2594c6e1, 0xc3f7b052, 0x2a2b0ebe, 0x8fdb3884, 0xdcc3874f, 0xb615a774,
+    0xfa256c9d, 0xc2e4e40b, 0x824bbb3b, 0x081e9ad6, 0xb3279d9a, 0x6a4df662, 0xdf35b44a, 0xbde23952,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000421249166674228746791672110734681729275580381602196445017243910144 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426295, 0x8b724a9a,
+    0x00000000,
+    0xfd2e1e00, 0xcff44cf6, 0xaebb38ad, 0x94510b53, 0x074ccfa7, 0x87700b8e, 0x21fdfe32, 0xbc1865a6,
+    0x16a2e617, 0x74ee581e, 0x3c1b9a78, 0x27a1379f, 0xd3c9ac9d, 0x80f6611c, 0xe46f217a, 0x56fe36ec,
+    0x23dfdbc1, 0x2a7a4bb5, 0xd3ce7d99, 0xdbef5812, 0x1d564d22, 0x3fb36feb, 0x2c9a9b4f, 0x8fb53510,
+    0xffee57e6, 0x86325bc1, 0x5d121a6e, 0xffaeaf82, 0x9817be67, 0x2ab72a16, 0xd687f0d0, 0x4b5d2fc9,
+    0xe0be76b4, 0xebbe6ce3, 0xb2a40db2, 0xba9a57ef, 0xab4d6807, 0x64090ec2, 0xfb1b632d, 0x706391ac,
+    0x06305e04, 0x96367777, 0xf72f2852, 0x81d43f29, 0x962dbe1e, 0xb6bd7006, 0xfb79a29b, 0x05de15bc,
+    0xae021626, 0x52111961, 0x12c2f1a5, 0xe048aba4, 0xab6a8f27, 0x76acf2b3, 0x347e7c00, 0x8c32a658,
+    0x9a52d9e6, 0xfc6d6230, 0xe1fb8e98, 0xda6a6e35, 0xb10e711c, 0xc801a90e, 0xdf8c4447, 0xc4241527,
+    0x8efd66ae, 0x8acfe669, 0x2b2e9abe, 0xb1f6a4bf, 0xb266736d, 0xa80b1e4f, 0x87ae4f86, 0x72b0feb1,
+    0x2b2d7a54, 0x8c5629f4, 0xffca1ead, 0x41c0529d, 0xe5125f2d, 0x21c6663c, 0x12d7d17b, 0x0434375d,
+    0x30286c40, 0x6086c608, 0xcbb75f1a, 0xe86f65c1, 0xba9ab865, 0x3d1a185a, 0xb1180d15, 0x14fd92c1,
+    0x84fdb368, 0xa870a15b, 0x321a2407, 0xf3efa1f9, 0xf0d459b2, 0x41198178, 0xf0651b6b, 0x9f7e7eb6,
+    0xa12d10c6, 0x58105a32, 0x2ee05676, 0x6fdf5123, 0xebe5e46a, 0x366ed5e2, 0xc9d5d5c7, 0x87249605,
+    0x2d6ba89e, 0x98715ddc, 0x990d9943, 0x6ce3f1fc, 0x8e3c427d, 0xbcadc9c5, 0xb83b2858, 0x50e3f902,
+    0x9d0a2e39, 0x1e7961e0, 0x2f920bd6, 0x3cb6688f, 0xe5d36650, 0xaee51256, 0x4c3c0b4c, 0xda637249,
+    0x515f4f4c, 0x51e15540, 0x0c2fd434, 0x0cd892db, 0x8722f553, 0xbb42e786, 0x8a0fabb0, 0x84d61671,
+    0x92bee62c, 0xfae9d539, 0x7b35258a, 0x3d0e7565, 0x76ae354b, 0xde959e3e, 0x3ba133ca, 0x2fadb164,
+    0x3f4d27e2, 0x27c48aea, 0x52ee6d12, 0x7db1cf0b, 0x43ba31e0, 0xb9a64538, 0x7911a21a, 0x70f57abe,
+    0xae0916a0, 0x4e807b2a, 0xf55b0646, 0xbb130509, 0x997c07b9, 0xd16de6ad, 0x4be044c2, 0xb02b18de,
+    0xf7de3a83, 0xcd3dab11, 0x17548349, 0x46cb7c04, 0x43d98703, 0xa5082bfa, 0x24a51958, 0x4bfb4a77,
+    0xa1ef5367, 0x2d5eee3b, 0x8717c7c7, 0x26bf734e, 0x50ce9b7e, 0x6a8498fc, 0xa07b0389, 0xcae184e6,
+    0x68132597, 0xfc7c0cde, 0x582e38ae, 0xb73778a1, 0x98355f56, 0x628b00d6, 0xbb743fef, 0x1b922ade,
+    0x03a9437b, 0xc60bc238, 0xe6fc27da, 0xa5b79b38, 0x1546264c, 0xaa2e0ee2, 0x6b90f1bf, 0x185ccace,
+    0x00c4bd93, 0xc73a5b97, 0xad1c1fe2, 0x888d4b19, 0xacb28acf, 0x82871614, 0xbc1870d7, 0x698ba3b3,
+    0x904cc5bc, 0x5df3a10e, 0xca8d7be3, 0xff7b4a31, 0x66a78d4c, 0x0f9479ac, 0x910f8da1, 0x71239cc0,
+    0x40d47f97, 0x1b7c271a, 0x81eb326b, 0x2f05d6ed, 0xa8115a80, 0x3fa8cf60, 0x282e8794, 0xf3d56447,
+    0x54792761, 0x4efb7e7e, 0x472ab764, 0xc6344918, 0x689b276d, 0x37fcd6b5, 0x543aef51, 0x7d578d2f,
+    0xbdf421bb, 0x56dbac00, 0xe1dfda34, 0x6258360a, 0x0d9d16e8, 0x84d3a9c4, 0xdeea7389, 0xdd2639bd,
+    0x523516f4, 0x6be89202, 0x73623210, 0x9ef8dd27, 0x857163c1, 0x2aad8f37, 0xbe135e93, 0x687dd59d,
+    0xa3205402, 0xec2d3841, 0xcbeeddd5, 0x151a8fd3, 0x46b8675a, 0x47a7be19, 0xcec68e6b, 0xfe6d4e82,
+    0x7556f365, 0x234ef348, 0x920f0663, 0xd6f5f797, 0xbf245378, 0xe3ee0c71, 0x022ff3e2, 0xda5e43fb,
+    0xe5b93ca3, 0x13fba14b, 0x75f952b7, 0xf4b06808, 0x0af3eb9f, 0x2a25e4bb, 0xedd5ffe4, 0xc00e34e5,
+    0xbbd6e628, 0x10aae469, 0xb29a8720, 0xfafc11bf, 0x5d82c45c, 0x1b718339, 0x392a1b11, 0x5e4d7627,
+    0xc174fe0e, 0xc7505ca5, 0x6ce3629e, 0xa9757ee8, 0x0d89d114, 0xc495dc0d, 0x2982ca62, 0x45e235f6,
+    0x78214e08, 0x6cb549d1, 0x923ae682, 0xc40fba08, 0x0fff4481, 0x7f491aa1, 0x51fe3487, 0x69d98df3,
+    0x7723ed3e, 0xb1ab42a2, 0xe1454bf1, 0x36d1123c, 0xbdce3c74, 0x7cb06df0, 0x1d242a7f, 0x384f3e8b,
+    0x3d80f780, 0x95772738, 0xdf700f8d, 0xc266a444, 0x6142b010, 0x7486f0c1, 0x6f044b2e, 0xaf1a1c0c,
+    0x37c12d95, 0x42599915, 0x1e51f190, 0xee50cef7, 0x4e249a49, 0xa6a4a3ce, 0xa65e8588, 0x901235eb,
+    0x2a3e84e2, 0x7d29b527, 0x979c78b8, 0x8d154caf, 0x6d482597, 0xa516c75b, 0xe4a190f9, 0x22faecc4,
+    0x7697800d, 0xcc1e6ad1, 0x0fe71397, 0x28a8378f, 0x7a809d75, 0xfcefebff, 0x7624578b, 0xe2d9d2e2,
+    0xd0d72522, 0x39d02873, 0xe07af92a, 0x89378a6f, 0xebdaa8b0, 0xef54fca2, 0xa164f564, 0x46080168,
+    0x879cb2be, 0x084617d7, 0xd8e490e3, 0xb8f0b129, 0xdfe8f368, 0xf5ac9fb8, 0xe1c3ead5, 0x0326bfe7,
+    0xec91b879, 0x66840ae4, 0x159e8c0e, 0x4b12bb22, 0x0efb2e4d, 0xb5488642, 0x37de9e1e, 0x6e0b96d0,
+    0xae6f0b6c, 0xb386ffe1, 0xd69ae583, 0x6e3dc7da, 0x69f02e28, 0xf7f03bfb, 0xb26100ea, 0x395f336d,
+    0x55332e9d, 0xac7772ff, 0x2debde83, 0x555f3417, 0xd70ba4bf, 0x1d5ec0e1, 0x16ff484a, 0xa890bfe5,
+    0xb9fc0ff9, 0x0198c957, 0x1caf7f1b, 0xe4521bcc, 0x816e99f3, 0xae76c37e, 0x0ca7c360, 0x57f455ce,
+    0x0d217367, 0x6f4671d8, 0x130b3423, 0x8be033c3, 0x8fd629b1, 0x8aad2de3, 0x09527460, 0xda99343a,
+    0xb53ea72c, 0xca7b7c14, 0x8127957c, 0xc4cbaf26, 0x462c14c4, 0x35cd60f3, 0x73821bd5, 0x3e268a14,
+    0x6c2c1383, 0x4e461e5c, 0x65673489, 0xfcbf7129, 0xb903f41a, 0x79558ce6, 0xafa9f694, 0xf970168b,
+    0xfcf1e0d8, 0xcb695cb3, 0xb089251c, 0x71590f95, 0x06268ea8, 0xbef6d8b4, 0x09b04573, 0x41458a27,
+    0x1d2a23b1, 0xe957dbe4, 0x62ae860c, 0x76df5c61, 0x33819220, 0x030963a3, 0xcd6cfee4, 0x6fa18023,
+    0x4c78650b, 0x3911774e, 0x3d073ff7, 0x085f639c, 0x789a4606, 0x952a2436, 0xf7d29499, 0x2185af82,
+    0x83d80161, 0x74882ca9, 0x4b6bff8e, 0x74676805, 0x066dbc5d, 0x56a2492c, 0x0d635b1b, 0x5464fd9f,
+    0xd8088e31, 0x909b72df, 0x70218bd9, 0x41c56327, 0x93ced9c7, 0x951d0a3a, 0xa76070d6, 0xa29567e9,
+    0xa664cc56, 0xf355da5b, 0x223f18a6, 0x8d51b7e2, 0xe540c919, 0x8df0e4ed, 0xcb649ed2, 0x95536430,
+    0xadb03b87, 0xb27dded0, 0xcbab79e2, 0xfec19c9c, 0x203ead3f, 0x7aff663f, 0x6144438c, 0xd911a345,
+    0x9c6f9088, 0xea81565b, 0x1815e01f, 0x86a5e2fb, 0x384dabff, 0x670924a9, 0xc8cb0358, 0x333a9144,
+    0x6275c376, 0xb7f7b302, 0x9f5a0a38, 0xb08d95c3, 0xb4ba0951, 0x3c76e5aa, 0xcd42de65, 0x744fdc7f,
+    0x5069d998, 0xd1db84d0, 0x2d86fab3, 0x46ac25cb, 0x262a9361, 0x5fce11c9, 0x92794a16, 0xd3554293,
+    0x819fb793, 0x339142b3, 0xea442dec, 0xb1885294, 0xd5b7b87d, 0x2de23347, 0x09d91f9e, 0x47f01436,
+    0x284c1387, 0x1117e375, 0xd42af6af, 0x5ffd6cdd, 0x88348c86, 0xffa1a54c, 0x6d069962, 0x90c0555f,
+    0x37a0877b, 0xe96e9334, 0xb811bdef, 0xa710e1a5, 0xf37d3e20, 0x65cee7bc, 0x436e2ef0, 0xbabc5bb4,
+    0x6e98a59e, 0xc84aa001, 0x844c9db3, 0xb41678bf, 0x27dbbee6, 0xedf086f9, 0x62878d58, 0x27564d67,
+    0x63b6d31b, 0xefcb62a2, 0xda9d6384, 0xaf58cef3, 0x17bb437c, 0x6065eb93, 0x232a8024, 0xbc0ab7e4,
+    0xb492f2f4, 0xfcb3f23e, 0xf2882b40, 0xf834b3d8, 0x25b74bfe, 0xe3b5a28a, 0xe56eef9a, 0x30ea700f,
+    0x842ec261, 0xd8047f5d, 0xbe12ba6d, 0x57cce982, 0xab4d627b, 0xcdf162fd, 0x70fef752, 0xe363c7c1,
+    0xf4ca1a22, 0xf746209f, 0x81b93254, 0x618a2394, 0xefbcda0c, 0x6dacab2f, 0xc6b77290, 0xcf1c2a0d,
+    0xd1f51523, 0x19d219f9, 0x2d6dcbac, 0x929985d8, 0xdccbc41b, 0xdbc6b0aa, 0xd14d8ad6, 0xe0ddf12e,
+    0x522571c7, 0xa4db41af, 0xcfb8da60, 0xfdcfa057, 0xed9fffd1, 0xdc39ae3c, 0xd4e240f1, 0x6922e702,
+    0x02a3503e, 0x0a848a82, 0x40e43cbd, 0x1da6d9d7, 0x6cc5b59b, 0xaf57aab1, 0xf97d1335, 0x14bc0df0,
+    0x73676a5f, 0x0312792d, 0x1d4eb88e, 0x73750fc3, 0x99ed3d86, 0xa19c5fa9, 0x38778a5e, 0x87ef304d,
+    0x2cf0fa78, 0xdcedb898, 0x52825feb, 0x0c80a56c, 0x45c3183f, 0x7b13cf4c, 0x21b8290b, 0x587dafcc,
+    0x3d4bb2f3, 0x8983a409, 0xf7c5d07a, 0x1324f336, 0x0abd525b, 0xe0990adc, 0x30c0b1d9, 0xa10f8073,
+    0x5a41942c, 0xa1fdc9b3, 0x0e207213, 0xae0d8c40, 0x508cc945, 0xe517adbc, 0xe78ef4f4, 0x7231ed91,
+    0x8283309c, 0x39c6236e, 0x71e0b696, 0x06b219f0, 0x1b279737, 0x7e463107, 0xc0c78dde, 0x257468cc,
+    0x66be8fc4, 0x9e856626, 0x921be4de, 0x8570dce3, 0x02d8eefa, 0x13bf9548, 0xefd1245f, 0x200de38b,
+    0x08442a0a, 0x80f49dbf, 0x20b24ad2, 0x41c75c2b, 0x493c449d, 0x3b1355e2, 0x90905df8, 0x8bae9e98,
+    0xec9d5ec6, 0x0ba7418f, 0x8a3fd206, 0xde1da15b, 0x91d1991c, 0x398f4363, 0xc877fc56, 0x84734e03,
+    0x71fa94d3, 0x7b74652c, 0x223f9c3f, 0x4c0324df, 0x5e4d04cf, 0xf386c4a2, 0x649694d4, 0x54f7d419,
+    0xe62f0287, 0xa29d563c, 0x09eaa098, 0x3c143ac5, 0x02925441, 0x63a624e5, 0x9495b066, 0x7939e3c9,
+    0xa83ba7fc, 0x511bd6e1, 0x3cda2b82, 0xb5d46218, 0xe39aa7e1, 0xb3ad15ee, 0xb73b82c1, 0xea72c620,
+    0x42ac00e9, 0xf96a2ae5, 0xcd3fbd68, 0xfce84e11, 0x205075d8, 0xb6fccd52, 0xe87aacd0, 0xea1ff9ad,
+    0x81f6bf5d, 0x0d04c303, 0xe07a61eb, 0x7d69d83f, 0xf12d21ab, 0x39995d2a, 0xfbc25124, 0x1dc6485a,
+    0x4207fce5, 0x350a2f4f, 0x595dcc6b, 0x8419d51a, 0xe3b59ca3, 0x6bf75553, 0xcab92591, 0xa1838f5f,
+    0x7f1482dd, 0x6dfd83aa, 0x5746e759, 0x07f5ebb4, 0x3f75e2dd, 0xb9043eb6, 0x244566f1, 0xf23bb2df,
+    0xdcb8ac2a, 0x29abcc57, 0x8c2f7ddb, 0x5c3fd89c, 0x24d43d4f, 0xc2bff456, 0xf3582759, 0x8d3b305d,
+    0xc22f2140, 0x4d835a41, 0x8f88e893, 0x2171e212, 0xe9c657dc, 0x99a05cd9, 0x553ff12b, 0x1d6313a5,
+    0x5dd9611c, 0x53abfaf6, 0xd335d1e2, 0xf8470fc7, 0x549d1ebf, 0xc178d631, 0x2610d50e, 0xd51a5a5b,
+    0x1dea7641, 0xd24eed4e, 0x7d63e3db, 0x52610e68, 0x76feca7b, 0x8a7cf7c8, 0x4c43ee91, 0x9a2674d8,
+    0xd21c409f, 0x8fb76abf, 0xe6dfbbe4, 0xe220c1b9, 0xd6250d41, 0x22d38d18, 0x76ec6946, 0x11b00f85,
+    0x43192f0e, 0x13dbbdf1, 0xa7161f58, 0x21b9e53c, 0x7dd5796c, 0x2080b5bb, 0x8928d1e2, 0xc55c76e7,
+    0xb2da8b02, 0xbc4101cd, 0x70adcbae, 0x014bfa58, 0xd410c925, 0x5bce9f96, 0xd5dd3927, 0xcfe667a0,
+    0x550af346, 0xafee5ef6, 0x07fe89bb, 0xd1d6b5b1, 0xdb0989d1, 0xa009d400, 0xc03825b9, 0x2607dc75,
+    0x63118c49, 0xd0205f7a, 0x83da4ccd, 0x8cdb77b4, 0x0b294ab5, 0x78d8ca89, 0x1d1876b9, 0xff7fcecc,
+    0x63468003, 0xda18c38e, 0x049eb456, 0x47471e33, 0x68bd6baf, 0x6b97ea1a, 0x769c43c5, 0x0eeb8803,
+    0xe7b9011b, 0x0785bd0a, 0x213a87a4, 0xd548b538, 0xbbaa1ff5, 0xdfd91aaf, 0xc9633764, 0xef07557c,
+    0x1a0fb888, 0x40f99941, 0x1cf26d29, 0xb901581d, 0xbc4e8dea, 0x21427953, 0x5308f864, 0xd7451556,
+    0x0e615b84, 0xba8d22e0, 0xd1f86ee4, 0x5d7728e7, 0x53dad85c, 0x37b07aa4, 0x9763dfbc, 0xaa484939,
+    0x4b879310, 0x04987a3b, 0x52786290, 0x137e9e6e, 0x1e661778, 0x1829649b, 0x4e5769f9, 0x5e19d099,
+    0x60d23328, 0x5896bb80, 0x54299dfc, 0xfc112196, 0x40df5184, 0xc720d482, 0xb5340cdd, 0x88263f73,
+    0x638f8a7c, 0x596dbce7, 0xae9bcac9, 0x57e23d1f, 0xdfe19faf, 0xed8d7a70, 0x18e206c6, 0x1d7f0035,
+    0xa040cfc7, 0xaaf05de8, 0x6a96ab52, 0x237423cf, 0x690d0901, 0x7533696a, 0xf9736e67, 0xe5f083ac,
+    0xb6bf53d2, 0xa8c4004c, 0xbadc487a, 0xb0f25b33, 0xb7230c5a, 0x1da6e926, 0xf04374ef, 0xbf5c5293,
+    0xc9267879, 0xb5d1f9bd, 0x2766d9fd, 0xfe4247cd, 0x0fdb7212, 0xcd5b3b60, 0xcde900e9, 0xf9ceb9f8,
+    0x8d5fee44, 0xbdbab256, 0xff065ab2, 0x37bc7cc9, 0xca203d3c, 0x2aff02bb, 0xca8b07ed, 0xb5f2ef69,
+    0xb01f90ca, 0xdace3e17, 0xb4e500aa, 0xe7ccfc96, 0x393dd953, 0xc798a018, 0xaa549b00, 0x2d6ebcbe,
+    0x2acf85ec, 0x5359545a, 0x62b3d636, 0x4dc74050, 0xfd0514a1, 0x497e8ca2, 0x7a1d899d, 0x98d373b9,
+    0x51342c42, 0x29652361, 0x6c09d95e, 0x081261f7, 0x6ba4e2f9, 0x0036b67d, 0x90bc3bf0, 0x266d753b,
+    0x81e03d0c, 0x08663e0d, 0xeb86c7c2, 0x5dbf9efb, 0xfb31d5e4, 0x3655d104, 0x2321789a, 0xa1127edc,
+    0x633a76b0, 0x94689b0a, 0x00cd8446, 0xe0d32cfc, 0x7e60c069, 0x92b7f769, 0x332e1271, 0xdc0a5447,
+    0x588376a0, 0xf9fa7c7e, 0x588f8f2c, 0x9909da37, 0x834864d7, 0xe082e29b, 0xf4e8eb29, 0xd26caed9,
+    0x356ede92, 0xed6114cf, 0x0a3fe288, 0x8759ce13, 0x0944cb73, 0x2aab2712, 0x9c26a637, 0x0cca8e32,
+    0x484759c1, 0x8e064cc7, 0x8187f735, 0x95c884e0, 0x50cfea91, 0x56e04ee8, 0xe24178ab, 0x00ec0e42,
+    0xe268af27, 0xcd268c03, 0x4184e4dd, 0x2703d733, 0x5780c911, 0xf267239e, 0x4d71b2af, 0x5bb6ce9f,
+    0xd8fa507b, 0x682d44ee, 0xd8ff7a82, 0x2a7dc653, 0x3fda8b6d, 0x083b1b72, 0x06ffbb0d, 0xe8bc468d,
+    0x83948df7, 0x27652b74, 0xf04a1971, 0x5640015a, 0x98bb9f31, 0x301b7eb1, 0xb3ff49c1, 0xe33de007,
+    0x5a9d092f, 0x19954423, 0x0c3c5500, 0xa9f1876c, 0x906c17dc, 0x67a742e8, 0x5721c42d, 0x7aa3c432,
+    0xdbe3028b, 0x456f2964, 0x8d172baf, 0xc81ee287, 0x06a7df19, 0xf8bf5298, 0x0234f8d5, 0x06a5d5c3,
+    0xee6aeb4c, 0x46ac70e2, 0x2ea91e03, 0xf111e334, 0x4e315d63, 0x8229fce4, 0xe3b87f0e, 0xb83b615b,
+    0xf2952e67, 0x05645d4e, 0xb3335316, 0xe7ab3995, 0xeaf3e9b3, 0x2441ce5e, 0xc23d137a, 0x7a62d3a2,
+    0x9ec24279, 0x51fbb8e2, 0x13ced631, 0x17904064, 0x3ada66fc, 0x37c26222, 0xf06bc651, 0xe4f32177,
+    0x2bb0c9a3, 0xc165af1e, 0xb88d86cd, 0x4c5600a8, 0xcdbcc7b4, 0x4b4051a0, 0xda37bef2, 0x72b1ea4c,
+    0x4c587fa8, 0x2ab13ee2, 0xd09a6551, 0xa3395f15, 0x557c20aa, 0x4040e71a, 0x72882014, 0x4457e9ed,
+    0xef881a34, 0x2753bb5e, 0xe2fa4af1, 0xef9555c4, 0x20d9f715, 0x6234c227, 0x87e7d555, 0x410a4fbe,
+    0x66f1212f, 0xa0ea165e, 0xbc063ba7, 0xec5f6897, 0xe8c9e56b, 0x5d352984, 0x2408ea51, 0xb68ca480,
+    0x7200592f, 0xf8b23261, 0xa5e6db95, 0x5e159ce7, 0x0323394d, 0x6f543f6b, 0x46617ba7, 0xf4b6c1d9,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000210624583337114373395836055367340864637790190801098222508621955072 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x0721314a, 0xc5b9254c,
+    0x00000000,
+    0xfe960f23, 0xd02be8de, 0xc516b97e, 0xc8ff1f3d, 0x49516c33, 0xa81af835, 0x85c8e0b7, 0x3022ff63,
+    0x250d770a, 0x10d20aa3, 0x485b0137, 0x24c725a4, 0x47f29841, 0xb993db66, 0x54f6e591, 0x1113f2b6,
+    0x2599877d, 0x987ff116, 0x9f2b739b, 0x42682fc3, 0x6dee1f0b, 0xfb98a5b2, 0x34804c20, 0xff463211,
+    0x8c841e86, 0xa100e7e4, 0x0a6caf21, 0xb97ce652, 0x6b5d36ec, 0xae5ddb27, 0xf08feca8, 0x978fff40,
+    0xb1a345cb, 0x9281ec8c, 0x1bb5d998, 0x5ee9238a, 0xa068c9d5, 0x27a8be38, 0xfbbdcfc9, 0x63d2fcb9,
+    0x3906c97d, 0x9f45a8f8, 0xb11cb709, 0x64f846a0, 0xd3131c64, 0x0fdff7e9, 0x249a8aa8, 0x5c7f2ab5,
+    0x3b1aea02, 0x29519eec, 0xb10eebf9, 0x52e62efa, 0x8fdd1d07, 0x8028aded, 0xb0a9a2d9, 0x2fcc7223,
+    0x9822b72a, 0xccc86328, 0x1ed259aa, 0x40588d73, 0x78427442, 0xb4ce447e, 0xbf82d638, 0xc1a27aba,
+    0xefdd17e7, 0x8dfd8e86, 0xb77008c3, 0xe53a1a6b, 0x1c3d6049, 0xd44e58d2, 0x607e279e, 0x2829ff5e,
+    0x83fbab9f, 0xbd4dd349, 0x79649691, 0xdc03bb4a, 0x9d5fe731, 0xb9bc6f19, 0xa78d6949, 0x54e0fde5,
+    0x0740b3bb, 0xf01a3967, 0x18ca8259, 0x4d73666d, 0x7447b68e, 0x58662abe, 0x026d9a81, 0x102467b3,
+    0x1359903b, 0x09192a99, 0xcc9652f8, 0xe041738f, 0xea3b4bf8, 0x795cf2d9, 0x4a4a8638, 0x52045f23,
+    0x019d6313, 0x28dc8e15, 0x56670887, 0x46e85aa4, 0x8478f0bd, 0x05ca8404, 0xc970fe80, 0xf23462df,
+    0x30e66b85, 0x4375b0c5, 0xae7c0e44, 0x84d68754, 0x0869b44e, 0x04451f2a, 0x59dfc910, 0xbb84772a,
+    0x1e7af6ef, 0xf3b36601, 0xfbadae84, 0x647d3c96, 0x40dd7f70, 0x0f303f63, 0x418ed552, 0xade01197,
+    0x162cf37f, 0x031e360e, 0xcbdc7d80, 0x3db8e1bf, 0x7f8bfc8b, 0x62794cf0, 0x4db91917, 0x4b657d03,
+    0x1f0a62b3, 0xefdabcc5, 0x27b30d2a, 0x0c4fe6e7, 0x6824603a, 0x07718580, 0xbb544165, 0x650165d0,
+    0xf31cc4f9, 0x689781a2, 0x79bcfb29, 0xf5f7e109, 0x315fd2de, 0xec3aeb95, 0x655b3f02, 0xe3ff20ab,
+    0x9fa73083, 0x5e51a24d, 0x3da6237b, 0x5c2acf35, 0xd866485f, 0x048a0aef, 0x07b85db7, 0xda4b437b,
+    0x3c9b1836, 0x861e5972, 0x1760b768, 0x2ee9af06, 0xce8b6f15, 0xd3e06a21, 0x69680a5b, 0x49abf434,
+    0x3d67ddd0, 0x9773ca3b, 0x071d7c23, 0xd6b148c2, 0xc4f0d844, 0xa2e878b7, 0x41a95b5c, 0xf79871b2,
+    0x4422a7ac, 0xcb9382cb, 0x645823cb, 0xe6f71274, 0xd7eeddea, 0xb14c8fec, 0x10507ba2, 0x94b1d642,
+    0x211c55a2, 0x199c26e0, 0x189067f1, 0xc3cd9133, 0x488c56ba, 0x1b2de49b, 0xc223723e, 0xa11bbbf1,
+    0x46e48cb3, 0x84e3941d, 0x8957c9c2, 0x6e67414c, 0x5d9e65cd, 0xc3bfed1b, 0xd682d60d, 0xd8aadee6,
+    0x10ba8d66, 0x47b30d11, 0x7ea5fe05, 0x22952536, 0x9008e679, 0xeed9a685, 0x3d95cf8e, 0x955a9d5b,
+    0x99343467, 0x08ba4eb4, 0xf1bff492, 0x06ff6df5, 0x8406a1b5, 0x3cfc8557, 0x4f1bc5ef, 0x048d697d,
+    0x60d46536, 0x93cd3805, 0x567125e4, 0xb1c94ed7, 0xd86c3014, 0xc926db23, 0x4e94ada9, 0x54a3e7a9,
+    0xe6888cb8, 0xc4f2c99f, 0x416f8ce1, 0x3dc4c373, 0xcc47c8ab, 0xf97c606e, 0xdb19adb0, 0x2f2349b9,
+    0x78e1219a, 0xff196a13, 0x17870a79, 0xf662e069, 0x0ebd66ab, 0xa7e8ec59, 0xb1d9adee, 0xa34e194d,
+    0x1996e814, 0x53c46518, 0xd7694cde, 0xa84ceca8, 0xe453a089, 0xb1cefaf7, 0x45f6ab06, 0x4115e835,
+    0x85d2bdfd, 0xf9dd29c5, 0x99f35389, 0x41c6908e, 0xe9a81a63, 0x33d913ef, 0x30661c30, 0x89353386,
+    0x67e83cf7, 0xe0ffc5b8, 0xf31e8414, 0x36586fdf, 0x3ecc6177, 0xffb27599, 0xcd58b79b, 0xb25f374a,
+    0x760da5d7, 0x7e50f8fb, 0xce239d0b, 0xdb492929, 0x094d9e12, 0x9c7de8f6, 0x668f7041, 0xebcf84fe,
+    0xca8d4230, 0xad95f787, 0xc0f31396, 0x1e255c5f, 0x9c0d1733, 0xce1f718e, 0x65efa15c, 0xdc06075a,
+    0x07929ecf, 0x39ceb039, 0xc3701eac, 0xa3b60d7b, 0x583ef34e, 0x0a291ce9, 0x100cb01f, 0xb99eb11e,
+    0xf5a42a13, 0x92abf6e5, 0xa2bd444a, 0x2b6bc85c, 0xaac1a310, 0x31535a93, 0xc71e83c0, 0x2dd7c75a,
+    0xf467aceb, 0x05d5dda8, 0x15612162, 0x0cf2249a, 0x904d44d0, 0x5b06d5c3, 0xed590f92, 0xd215e60b,
+    0x60f03a35, 0x5bcf8934, 0x645f39af, 0xd1aaaa92, 0x1895952b, 0xfa5a6e6f, 0xfa002f4f, 0x68ec7975,
+    0x314fa850, 0x90763b12, 0x7c161d58, 0x91d0690d, 0x7292c4af, 0x4e5fcd77, 0xa759ba38, 0x6338135a,
+    0xb2cd15c6, 0x1ac37a4b, 0x47827f0c, 0x767be652, 0xa93594a4, 0x3a55c07e, 0x1569fcd8, 0xbabd223a,
+    0xa71fb040, 0xaa4277e6, 0x7064c6c9, 0x233a32a3, 0x96f41697, 0x4dc0cf47, 0x1a9c8bd0, 0x79ff1835,
+    0x21ebf0e6, 0x6ca97757, 0x2d88811f, 0x3f4b882e, 0x07cb1658, 0x1de8f78a, 0xa1965e2b, 0xd85ad442,
+    0x9d2bdfa3, 0xf6d27f63, 0xa12b44dd, 0x0e9c3e77, 0xc5cebcef, 0xad1fc51f, 0xbdce6d0f, 0x884dcf02,
+    0xc2bf32d2, 0xef20ac9d, 0x7721178a, 0x7c5743a0, 0xd2a64d6f, 0xef22a367, 0x5eaba711, 0x9abd4df0,
+    0x9d0295cb, 0xc2bc8856, 0x8bef8d76, 0xebdb51ba, 0xd019eec2, 0xe5b8929a, 0x4aeca6e6, 0xc64b09d4,
+    0xc93df278, 0xeaeef384, 0xd7eadb80, 0x68594fee, 0x7dc53f9f, 0xebabb37b, 0x67cac551, 0x22347093,
+    0xf54aa675, 0x5e105007, 0x84f0da92, 0xf346f609, 0xfef00d1f, 0x51f0db1e, 0x434185af, 0xdd591f34,
+    0x04a91f05, 0x7ea096e6, 0xd41112b5, 0x09608edb, 0x50adef03, 0x57412bb9, 0x85972821, 0x8cb12a2f,
+    0x856011c4, 0x50f48083, 0x0102d222, 0x69c33ccc, 0xd291e67e, 0x8ef31665, 0xb5a70840, 0xed9d273b,
+    0x4067dab7, 0x8096ce5c, 0x9d316046, 0x1e270003, 0x1d992610, 0x41154c42, 0xb56414a0, 0xcd041b95,
+    0xb98e4850, 0x9790ed97, 0x5043e63d, 0x4f9f0b51, 0xefd8106b, 0x4d6ecd6e, 0xf17424ce, 0xd9e04952,
+    0xf2c9fe23, 0xbb5dfae3, 0x85eb17f4, 0x16022b93, 0x36b407fe, 0xdf8ba994, 0xc607ff1a, 0xe32a91b6,
+    0x92736727, 0xd1fd5001, 0xe7ccc6c0, 0x8b876c13, 0x9ff70793, 0x1f843554, 0xec454fa4, 0x292c30c5,
+    0x66272689, 0x34aa1259, 0xe6deaf09, 0x5551859d, 0x9b1a7698, 0x18b8e103, 0xf3939a29, 0xf1b23490,
+    0xce98ec99, 0xce1bfaf5, 0xf023515c, 0x1c30aa9f, 0xfe60b743, 0xc480a549, 0x9098af67, 0x11dcdc75,
+    0xc0c520df, 0x8a1fc8dc, 0x818335fb, 0x71e398ac, 0xdd10bd62, 0xcc736bac, 0x8f297446, 0xf30084c4,
+    0xf4aba97f, 0x6647ef92, 0xc6f0f825, 0x2ff707a7, 0xc38b232d, 0xf2b296e7, 0xcdf1842c, 0x24674751,
+    0x57c616dc, 0x33416878, 0x2bdc3f14, 0x9a2df050, 0x9b488d80, 0x2d112401, 0xcd74e090, 0x0a7ea71c,
+    0xa4ceceea, 0x9b9264d9, 0x37d3413e, 0x8c2df34d, 0x31d73e97, 0x7972f2a0, 0xe07e5e0b, 0x4767cdba,
+    0x275bd29d, 0x9cf2d43a, 0xf8215be1, 0xf5107869, 0x9ee30cbf, 0x7b9befbb, 0x08ee92c9, 0xf3f28e41,
+    0xad897f59, 0x4f3ebb81, 0x90a20958, 0x5c4f5125, 0x81585426, 0xd1955dce, 0x1ea3b3ff, 0xda538cab,
+    0xc800d5e8, 0x1b765f50, 0x7dda5a80, 0x1d72cdd4, 0x5d2d161d, 0x3fb26f6f, 0xfdfb924a, 0x74a8625e,
+    0x02c9c7b7, 0x4cf09c0a, 0x19e795e4, 0x1096a44d, 0xf456d1d7, 0x267ad556, 0x1334c667, 0x5c8d32ea,
+    0xe56468e3, 0xd76286cc, 0x566dc536, 0x78c67680, 0x40142205, 0xd87d40e2, 0x9e2da168, 0x1f383b64,
+    0xb4ab083f, 0xe81ecc69, 0xa9e7d52a, 0xcbfba5bd, 0xfee2d3f1, 0xc820c0e7, 0x77aa5347, 0xbec24f9c,
+    0x89ba5e01, 0x34f4bcf5, 0x9247bce1, 0xbdf2eea1, 0x4de952b6, 0x4fbbe1ff, 0x6b3f5cb0, 0x4d091134,
+    0x5b5c8bc8, 0x02124bc3, 0x728d3ffd, 0x744077ff, 0xea077024, 0xd8848d6a, 0xe0401a8f, 0x23c184ab,
+    0x916f8eb6, 0xc4bb968b, 0x144f329f, 0x7e21b254, 0xb2c8673a, 0x562e5102, 0x4a00f29d, 0x5a4d29c2,
+    0xd2f22e83, 0xcff03617, 0x30aa5301, 0xb0f0558f, 0x1fcad2be, 0x483028f0, 0x268576c3, 0xd6390967,
+    0x6c04c357, 0xdcb6dceb, 0xf0871a0b, 0xf713fb7c, 0xc8e673be, 0x298e0af0, 0xf795ee2c, 0x4398f17d,
+    0xfa02e68a, 0xe1e681d5, 0x3a6ce8d4, 0xd77ef6f0, 0x3fe9d75b, 0x4f37cc35, 0x3e407c93, 0xecc86e33,
+    0xfffdb1d1, 0x32ce47cd, 0x5c749e85, 0x2c470092, 0xd29a824d, 0xd1f20dcf, 0x00390d02, 0x865e702c,
+    0x15565ca7, 0x9aa582e4, 0xb6c9f51c, 0xba4a63bf, 0x0a90accd, 0xd21b4029, 0xf49abd1b, 0x5ac47e7a,
+    0xdd57739e, 0xad2ea8fe, 0x64fb7f9a, 0xc959048c, 0x0911b3fc, 0x31526093, 0x45553c6a, 0x8144c05e,
+    0x52b033cc, 0x6df06811, 0xaeb9bfe4, 0xb21af89b, 0xcd50e46d, 0x307ff6c8, 0xd5e870cb, 0xd1dace0c,
+    0x36934dfb, 0x6c392f00, 0xf88b0d5d, 0x75ac4ca6, 0x690cefb0, 0x7ac0171d, 0x88dd97ec, 0x590515f7,
+    0x244bd3cf, 0xd6d0ea24, 0x9dfc964b, 0x24aaf6c1, 0xd8018660, 0x20a874b8, 0xd9ea6576, 0xe158e705,
+    0x42f97cd9, 0x1db8ad94, 0xcdc883f4, 0x42d18f89, 0x148fc597, 0xdc3a9d34, 0xe794e257, 0x0cd086f6,
+    0xfa5001b1, 0x43bed49c, 0xe6b7826c, 0x78b55451, 0xf0d99649, 0x19183837, 0x674f6ec4, 0xebc85a7c,
+    0x12ddfcf5, 0xa0bdbc5d, 0x6a10fdb0, 0x2c248d72, 0x89ce54b1, 0xef70097f, 0x4ae53a6e, 0x87a73a49,
+    0xe3029cc4, 0x721f47bb, 0x4bdb0649, 0x99b06e27, 0x2bd58a3b, 0xada8a2b7, 0xdeb31977, 0x48257abd,
+    0xcc9f6323, 0x710e2784, 0x548f4af2, 0xfeb3f58e, 0xff887dc3, 0xf1dc0a6e, 0x95fdd80d, 0xf6dfaa22,
+    0x1ded2c9c, 0x13f050c9, 0xf2da374c, 0xbdd99a38, 0x8d55e1c8, 0xd7c71746, 0x9c96fd3d, 0x07c67e93,
+    0x0eac5536, 0x291797f5, 0xed76b7cc, 0x9e6ac2af, 0x31cf5379, 0x963b4180, 0xc06b5e83, 0x1e6d7d67,
+    0xaa584270, 0x2f2ebcdb, 0xa2b6d175, 0xa6d9e0c9, 0xf119d89e, 0x625b9b35, 0x118d4051, 0xa83c9c95,
+    0xadd68c1f, 0x350fd2ca, 0x4d254800, 0x07982ebf, 0xbf11f233, 0x038196b5, 0xd626dce3, 0xa00deb36,
+    0x06b6d226, 0xccf37bad, 0x5556d169, 0xd7c3f9d6, 0x20ea15fe, 0x42e06c9f, 0xc2a317e3, 0x4e0370d6,
+    0x1801d72f, 0x4c6368cd, 0x3db7f484, 0xf0482fe4, 0x9416f566, 0xdaadea0d, 0x2a79d4a0, 0x67920093,
+    0x3664aec6, 0xa2e29759, 0x57410618, 0x4d5df3ab, 0x562d4833, 0xdd00945b, 0x6710f8ed, 0x7cba5c3e,
+    0xc64a23d5, 0x3cd4b220, 0xdc942d5e, 0x5bd61f34, 0xba06adfd, 0x1f8df97a, 0x219a53bd, 0x8f3b2648,
+    0xec772132, 0x02222a35, 0x99967ec0, 0xfbb71361, 0xf7aae2e2, 0x373ba493, 0xb20da765, 0x8d9a0f94,
+    0xf0367c82, 0x1878e2a2, 0xe34d4b9b, 0x3e8c4f38, 0xa2689ed8, 0x1ca851c2, 0x5c542ebb, 0x55f58929,
+    0xb4ef57a8, 0x415cb7c8, 0xbf338770, 0xa4b91132, 0x0c1312b6, 0x5429e4c9, 0x57933c18, 0xf62d0294,
+    0x0bc5ca9b, 0xfef44325, 0x53413546, 0xea55453c, 0xc39314c6, 0x67ff380c, 0x57e02736, 0xc1dde3c6,
+    0x807bb1b2, 0x917e1c64, 0xd41bdfb9, 0x1662a414, 0x35b5255c, 0x67280aa8, 0x80cad950, 0x7c113c40,
+    0xe237af7d, 0xa35cc6fa, 0x43cbbe26, 0xb9b88701, 0xb516e0e3, 0x0bd3c8fc, 0x0ae30795, 0x31d93040,
+    0xda067d4c, 0x2feb75a9, 0xcb639b27, 0x6e72416e, 0x2bb9d6d5, 0x0811863a, 0xe08c9390, 0xc498acce,
+    0xbdbaa40d, 0x3f343df3, 0x2eb5d4b1, 0xdcd19997, 0x1a7ae5e1, 0x73f11bc6, 0x5197865b, 0x710546b5,
+    0x5291b061, 0x5596b0dd, 0x9a30b8c3, 0x0ae5ba14, 0x7babc38a, 0x2558b870, 0xb12e2811, 0xc8d8ee68,
+    0x160e2d77, 0x7313bfe5, 0x89768269, 0x689bf7fb, 0xa6cd4e1a, 0xe3a6a855, 0xe7e1e0d1, 0x68227212,
+    0xb1156516, 0x53c02806, 0x663c57c8, 0x6258e8d2, 0x92487b59, 0x6cb53397, 0xbb15e508, 0x78b307dd,
+    0x854fbb5f, 0x9ff1bedd, 0xe8205165, 0x2b08c57f, 0xa573ad7a, 0x0f8b9cfd, 0x2b6fff04, 0xa7d3d7d6,
+    0x12c0d9d7, 0x00c8fff5, 0xa52c3075, 0xde08d995, 0x3580313e, 0x82f5fe92, 0x95368b81, 0x76fa78f0,
+    0xb89efcd7, 0x5c0bb5e7, 0x8b495131, 0xacb104c0, 0xf158da8f, 0xd6ee5988, 0xcfc062f3, 0x14930e63,
+    0xe59ad131, 0xdeab1270, 0xb80dd560, 0x1c5deb33, 0x0ee8f598, 0x6a88bca5, 0xc4ecd082, 0xabb2d0d8,
+    0xa2d94651, 0xb09623f3, 0x20a62b6a, 0x44ecd81d, 0x98aab5aa, 0x5a049e5d, 0x7f4fc48d, 0x500920b1,
+    0xf583e323, 0x693f1fce, 0x48505344, 0x92c47f4c, 0x42b8ec93, 0x44091a0a, 0x44440fd4, 0xe1347e4e,
+    0x15725458, 0x876433b2, 0x1b20529c, 0x39f7c5a3, 0xb4ddfd81, 0xb77c62b3, 0x9cda6364, 0x83067363,
+    0x4db8d0de, 0xfd28cb49, 0xb7431245, 0x0a01bfd1, 0x6ca9e978, 0x2c40d76f, 0xa7f7756f, 0x16be8cbb,
+    0xeeeae4db, 0xcf71f818, 0xd8377cfd, 0x6d086060, 0x8cd28d31, 0x52cac4eb, 0x3ce2e726, 0x8436d569,
+    0x6dcd2fe5, 0x063cae8d, 0x530ed928, 0xce142a21, 0x30af42cf, 0x19c8d3b7, 0x25512d0b, 0x76de3d19,
+    0xf1f176e7, 0xde1990cc, 0xe2994fdc, 0xec9ea3fa, 0xb66c79a0, 0x8ddf7697, 0x63d34827, 0x1b6509a6,
+    0x3926b5fc, 0x25902ac5, 0x2925da1f, 0x2c8b7b45, 0xba680bdf, 0x1e6b8411, 0x88cf2698, 0x99917e1a,
+    0xff23c848, 0x0c036fac, 0xd35d127e, 0x730e35bf, 0x9b55182d, 0x3467209d, 0x106de86e, 0xc04ff5c1,
+    0x59c6c237, 0x13de92e5, 0x15371026, 0x426e4d49, 0x01531bf3, 0x0ce2f0c5, 0xeeb3bb15, 0x2bf3f82d,
+    0x83eb8d32, 0xdc233e8d, 0x24c9c421, 0x80a21e74, 0x6bcfce78, 0x914b3839, 0x0e6ccac7, 0xff68ae12,
+    0x74bb76af, 0x59cec7a1, 0x32a80342, 0xd04b70ac, 0x8451324d, 0x61c7f0df, 0x2dd587eb, 0x29337f73,
+    0x00301950, 0x3bbccc01, 0x846c9256, 0x825f81af, 0x267810d8, 0x830f3ba3, 0xcc87de8d, 0xcd4eefa9,
+    0x962387c3, 0xf296065e, 0x6281f499, 0x6b5b4ecb, 0xf77bb799, 0xc7bd3401, 0x1169733a, 0x30ab6e00,
+    0x28abb85a, 0x47a7fbfe, 0x0333e52f, 0x5feb4495, 0x062e54d2, 0x1a843020, 0x1aa5de42, 0x3784bbdb,
+    0x07129e23, 0x4f85af2b, 0xb4a0f71e, 0x4de8e661, 0x715372d7, 0x6f2677c8, 0x39d9d25f, 0x5446b52d,
+    0x7f7754c9, 0xa85abcf7, 0xe9416b1c, 0x6bed407a, 0x74152022, 0xe9f152cd, 0x10018559, 0x4c3121ad,
+    0x4e87e212, 0x27b93fc5, 0xcae9cf42, 0x4958ba50, 0x14c05df9, 0x54eae884, 0xcb297f3b, 0x88fcf2a1,
+    0xb8b9ac21, 0xd79998ab, 0x90faf862, 0x9b368cb1, 0xe303b4bb, 0xf772c1b4, 0xad3659b8, 0x81bb8217,
+    0x3707c0b6, 0x309acffe, 0xff06632d, 0x02eb9163, 0x83a78fb6, 0x2d2f56ad, 0x2f533064, 0x5fd448c9,
+    0x72731824, 0x69fc7f9b, 0xb3ea09c1, 0x1af2b896, 0x4ad78ebc, 0xc2a7f71f, 0x7f236904, 0x8e7c9374,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000105312291668557186697918027683670432318895095400549111254310977536 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a5, 0x62dc92a5,
+    0x00000000,
+    0xff4ac76d, 0x622c2120, 0x421d46f2, 0xdf8d401a, 0xfe35ef62, 0x27ef376b, 0x34283255, 0xb31f9dd6,
+    0x8ed35167, 0x59a275a1, 0xcf2b318d, 0x9391cc63, 0x0db6b8ce, 0x8233764b, 0xdd3c41c2, 0x217cce89,
+    0xd25f2a79, 0xede2b3f5, 0x1001f673, 0x8e4da972, 0x222b451b, 0x4befc5b5, 0x6301358c, 0x905f391e,
+    0xf5ce4189, 0x3e6487db, 0xc4c986fb, 0x03d8300a, 0x6e9bebdd, 0x59357cee, 0x70badc0a, 0xbe5a4cc8,
+    0x9851957b, 0xbc8f93b7, 0xa5e5e70f, 0xe998c84f, 0x696ae1c3, 0xa428983d, 0x74d9ada5, 0x5568606e,
+    0x04d2f68c, 0x49cf8ae6, 0x3dd78dd9, 0x6898d67a, 0xd566976e, 0xc6daf9ee, 0x8e43715e, 0xe724a00c,
+    0x8a8bcc93, 0x98253fc5, 0x851e491f, 0xb96182c9, 0x492adc41, 0x111283b2, 0x88b69f67, 0x66142813,
+    0x0e914f58, 0x8f5cd6a9, 0x351eb19d, 0x654e2d51, 0x8a21a64d, 0xca7b4644, 0x49e47e09, 0xcbc1ea9a,
+    0x04cd58f7, 0x7a54f044, 0x3d8a1699, 0xefe66666, 0x3db35c8f, 0x31e75ec4, 0xc4efc67a, 0x524fcc70,
+    0x06d0573f, 0x122dd2bc, 0xdd5165fe, 0xf7264a5a, 0x1879de01, 0xeb21ba0b, 0x1a5247ff, 0x3a642312,
+    0x0ee899b2, 0x8aa32156, 0xfef835d7, 0x9ff12031, 0xdb775517, 0x600c2ce3, 0xfc3ab126, 0x9d766a32,
+    0xa6efd40d, 0x30be4da4, 0xbb997888, 0x38b753c6, 0x0cde15fd, 0xe5e1a048, 0x943469d2, 0x2320cf6d,
+    0x9e827539, 0xb64a8dbc, 0x7975185d, 0x184f2d7f, 0xe149774c, 0x0b9dc4c5, 0x1fd44a9a, 0x1fa89bf0,
+    0xebf82e62, 0xadba1e6a, 0xbf3e1e75, 0x5c315fb1, 0xfb7bdd2b, 0x5b5c3047, 0x3558ef5c, 0xadc96822,
+    0x30c8e721, 0x4402f088, 0x255f17b4, 0x6405b85b, 0x014bf285, 0x73c87fab, 0x963413ac, 0x41ceade6,
+    0xcf449ca8, 0xf930d334, 0x82f2377b, 0x38029c57, 0x11399e33, 0xc49ce345, 0xc861fc97, 0xce06e86b,
+    0x8a0591ef, 0x26645c20, 0x0657280c, 0xa50bf32b, 0x0b5055bf, 0xec997ab8, 0x9f44602d, 0x902b3b68,
+    0xb3cbfdf3, 0x4b7712f9, 0x84f36833, 0x188f9d3b, 0x5ead2b62, 0x1438ce83, 0x56eee942, 0xe8b91e77,
+    0xf062b342, 0xe5710f74, 0x11044451, 0xbf05d505, 0xd22c4f50, 0xb536c2fa, 0xae34caf3, 0x44d907ec,
+    0xec864887, 0xb036a136, 0x7c6d4a66, 0x92da0a9a, 0x4edd0371, 0x6c1134a1, 0x2b66c914, 0xd1dd350c,
+    0xad924509, 0xd2371ba1, 0xe40d8475, 0xdeac14d6, 0xa555f9a3, 0x2f93ea5f, 0x9eaa68cf, 0xa630164c,
+    0x8a747779, 0x459453e7, 0x7ea04fdc, 0x4757c148, 0x9d678815, 0x3d9a9d62, 0xc4fc2f94, 0x147d651b,
+    0x4a81b18d, 0x5061db4b, 0x1c38173d, 0x3ced1a50, 0x4c7d322a, 0x94846fae, 0x3576fdc4, 0x1fa0b3b4,
+    0x5caf6085, 0xd156c1f3, 0x5765579a, 0x56902af1, 0x1cd83c23, 0xea8f6b06, 0xa622752a, 0x70561897,
+    0x4210db52, 0xf43fbe64, 0xcc2cffb7, 0x8fec829c, 0x90ccd3db, 0xf3ce322e, 0xa3c37a27, 0x9d50fca5,
+    0xfc293680, 0x9f5921e9, 0x184e4264, 0x5eafb125, 0xd579528d, 0x9e2b8f8b, 0x4018e6a7, 0x53dd2dd9,
+    0x1e8494fe, 0x3a535321, 0xfcb2f504, 0x945fa36b, 0xe1675a91, 0x28d23fbf, 0x0a4d942d, 0x5596ab6a,
+    0xb4dfb66b, 0xff388a82, 0xb1cf8058, 0x6dc80491, 0x0fb4150a, 0x7d01d497, 0x82084dc2, 0xa39cb446,
+    0x156fcf8b, 0xc34ec481, 0xf7a3baf0, 0xd079e3b7, 0xe1febd7c, 0x9d84b6a3, 0xc56aae50, 0xc2dfd63c,
+    0x57863904, 0xd8575f61, 0xe77e7653, 0x63ea6129, 0xffaa95b1, 0xbd558be3, 0xea843394, 0xcdb6ab4e,
+    0x36c5497b, 0xe906d40c, 0xa82e553b, 0x4784a1fa, 0xe1524b66, 0x386bd3ea, 0x68adef00, 0xf71b0e5e,
+    0xfdf7df30, 0x06d688af, 0x4c012852, 0x93b19291, 0x51f587f6, 0x07c9f870, 0x2a5ce6fb, 0x85e9179e,
+    0x5f488654, 0x277ece84, 0xfa9d27a5, 0x7dccc12a, 0x92506dd3, 0x0ffa3364, 0xbbe6449a, 0x144864cb,
+    0xb1828db3, 0x9c0885a0, 0xf5c09bbc, 0xc3f0f9fc, 0x270d36fc, 0xad61cecd, 0xe6f1fbaa, 0x8f2a69cf,
+    0xe011f2c0, 0xb07d181f, 0x3dc1c57c, 0x0dc55281, 0x6f1852ac, 0x1fbed9d4, 0x8640fa9f, 0xdb816851,
+    0x84d5ebf5, 0x18f0ad96, 0x62a9bf52, 0x9e479c47, 0xed3330ca, 0x4f917a8d, 0xa4cddf01, 0x4e1e765e,
+    0x5ca3820b, 0x410798d6, 0xd9c12496, 0x85570328, 0x43eda570, 0x797bbd1d, 0x458e37e9, 0x8edd895f,
+    0x648f0a27, 0x427bc02a, 0xe789387f, 0xe5f3d319, 0xfdc9a7eb, 0xd64fa58b, 0x98e4cbc4, 0xb10c7494,
+    0xb30dd1c2, 0xd6386d79, 0xdad3236b, 0x87b934e0, 0xfa615a6b, 0x4016cabb, 0x0554b192, 0x7490c8f1,
+    0x8644b72d, 0xfd288b54, 0x13ff2f24, 0x9c5b18d1, 0xaf4f1f06, 0x69b4516f, 0xc9514269, 0xb76bfe3b,
+    0x035efeb6, 0x24412774, 0x3fc10deb, 0x7c2ecec5, 0xbd022e32, 0xf578d5c1, 0x33cac912, 0xbc5700db,
+    0xc9b4fcfa, 0xc2311df9, 0xa690abf2, 0x8cae77e3, 0x21125458, 0x46922f29, 0x0ae4e071, 0xe31b108e,
+    0xe3fade76, 0x6d08398d, 0x2562e1f0, 0x2f66132f, 0x9829735c, 0xbe5ee7d8, 0xc222320a, 0x3c5b164b,
+    0x1d1b5b9d, 0x9ce55286, 0xae58c199, 0x964f6098, 0x14ee39bf, 0x0229855f, 0xef13aa1a, 0xa60ce760,
+    0x78e9d374, 0xd468bf9f, 0x4b45d5eb, 0x3699a8c8, 0x79705706, 0xd1a6c77e, 0x5ab6fab0, 0xa5a6f718,
+    0x84ddf619, 0xbe435d5f, 0x51805916, 0x039d47b1, 0xa0ae5648, 0x568ed844, 0xa9b124eb, 0xb0f12751,
+    0x4d82fe01, 0x1f5160a1, 0xe83ba307, 0xe9d1d9b1, 0x4cadf5d9, 0x556d3528, 0xd667a267, 0xbbafb10b,
+    0x3a95534f, 0x2da82f65, 0x8fa79b82, 0x63eaf16a, 0x9567e852, 0x8cda4aa0, 0xcc3592cb, 0x6124ff34,
+    0xe5ff5bc3, 0x66c26f4f, 0x59c1fbd8, 0xaa337986, 0x67fe6522, 0x79466030, 0xddd65552, 0xbedddfe1,
+    0x0967bd97, 0x5b96f2f7, 0x9c7de3a1, 0xfb7d0e38, 0x873ecd09, 0xf1c4f2bb, 0x764236ee, 0x6723f991,
+    0x99d955e3, 0xf8130fcc, 0xb07f25b1, 0xad632992, 0x4c4ad9a1, 0x42096113, 0x118a8dc9, 0xd5059633,
+    0x762aacc7, 0x8cd8d136, 0x39030bf1, 0x237ec431, 0x798bff13, 0x3ac4d467, 0x1baee7de, 0xc168c898,
+    0xb8e804e8, 0x08c7e747, 0x34e22f00, 0xa3310078, 0xa7cfc03b, 0xbed41ea3, 0x542a4f9e, 0x40697286,
+    0xc6f6dd98, 0xd891fdd9, 0x30421b7d, 0xb3e90781, 0x9d7f772b, 0xb378be99, 0xbc0bfadc, 0x62670093,
+    0xf00fef11, 0x9fddbf3f, 0x7f974d87, 0x23e72ef1, 0x1cddb829, 0x5b02b782, 0x522c196c, 0xfd32f7f4,
+    0x4336b264, 0x4f5d4d10, 0x36bd21bf, 0x95bf7f5d, 0x62ef160d, 0x3988c803, 0x53fc8a27, 0xce3e0500,
+    0x280f096d, 0x16e53ba9, 0x08a8a115, 0x591ab1fd, 0x60aaa3bc, 0x0f00f88b, 0x5b1dc12a, 0x2f2df861,
+    0x485c7d33, 0x152b4b53, 0x05f33ad1, 0x2a55d8e6, 0xf8eaf425, 0x0c4f2c14, 0x759ff9d0, 0x172ff999,
+    0x9e0619b4, 0x51a17628, 0x0a1427ff, 0x77e53b80, 0x7a62c2cd, 0x84cb5c3c, 0x4331a9b5, 0x872310ac,
+    0xeb2ad665, 0xcbb66725, 0x8e16d95b, 0xd190d1df, 0x06011fab, 0x653b027f, 0x5b5972d0, 0x4a18661c,
+    0xe4c655cd, 0x8c1b9a86, 0x6a73c10a, 0x693552c5, 0x94b02207, 0xb5a42bfc, 0x8003d3a5, 0xc5b022b8,
+    0x331f36b7, 0xe1a87577, 0xd3581afe, 0x8364f044, 0x42271f70, 0x06660123, 0x5089bfcc, 0x1fbbcf94,
+    0x88109133, 0x8ae99736, 0x131f4020, 0x3ec2d128, 0x2303a8eb, 0x87199fc2, 0xc2951ffc, 0xa93f2941,
+    0x1d97bdd4, 0xfd34883a, 0x85d71615, 0xb3e5f519, 0x3137287f, 0x86ca06b3, 0xa4175ece, 0x27b2898f,
+    0xb8f2ee41, 0x61458bf9, 0x99ddc9c2, 0x5fea2cf4, 0xda07d79e, 0xd296a3ef, 0x75335f0f, 0xe3842318,
+    0xf7e21a2b, 0xe708ef0b, 0xd7b31da6, 0x1d7f878f, 0xba45a7f0, 0x0f370712, 0x3f34a5f9, 0x6564e065,
+    0x1df0df09, 0x182fcaf9, 0x033e149b, 0x66c29ab6, 0xae0bf611, 0xcc35e78b, 0x8947348c, 0x91955e40,
+    0xf6582628, 0x41ae1b62, 0x39d5034f, 0xfdfd7e7e, 0x5d1b265e, 0xf80cb083, 0xe4379497, 0xda2514eb,
+    0x3f84e4b9, 0xed631227, 0x1906dbbc, 0x16901b11, 0xec855f4c, 0x974a4062, 0xc5fce874, 0x90f44b37,
+    0xb1d32429, 0xa0eee738, 0xd3894c11, 0x2beb6e4f, 0x8367cb35, 0x6fbd6377, 0x25fa87e2, 0xeb277e6b,
+    0xd80a0c41, 0xb6e6a98d, 0x69028985, 0xe581f028, 0x165c9a32, 0x3e8d3ae6, 0x45c57324, 0x08438c01,
+    0x7fd0a100, 0xd829db71, 0x7664562c, 0x03c8b8c7, 0x35623c92, 0x49ef6abd, 0x94079594, 0x7cd2f871,
+    0xdef49c69, 0xeb43fa97, 0x0b646603, 0x8167c638, 0x82467e64, 0x554c4800, 0x11d5d3c5, 0x24e464bb,
+    0x156ec891, 0x17886c2a, 0x977704e7, 0xf31b89dd, 0xd844a0cf, 0xaa6ca580, 0x5c720dd9, 0x1db13f26,
+    0xe4191065, 0xfac6772b, 0xea8ea23b, 0x118846de, 0xe9ff3909, 0x38fbc168, 0xec5014a5, 0xb6544d6c,
+    0xac80fe73, 0xf927b717, 0x5433f31d, 0x7f3b948f, 0xbac9ce97, 0x217a27ab, 0x24356a9e, 0x8a01984c,
+    0x953c9fef, 0xc92b29b8, 0xb0d7154f, 0x4d219cf9, 0x6ed0d7f4, 0x8e689dfe, 0xdcb399d9, 0x0f5aed6d,
+    0x764bcf8f, 0xffcd3510, 0xc0ac5033, 0x0ca0134e, 0x5846aee1, 0xd83f9d47, 0x98a36d41, 0x39c67f76,
+    0x902975e2, 0xf6b9f353, 0xf267c77f, 0x85d546cd, 0x59f4a802, 0x8fbd0ee2, 0x4ee6371e, 0x264718a9,
+    0xc4f1cdde, 0xc3339ba2, 0x731178b2, 0xcf7bb92d, 0xe3a0c3fc, 0x602cf6ec, 0xe5c3e7f4, 0x01058a54,
+    0x6b5011e0, 0x71562307, 0xc401558e, 0x5846eeb4, 0x275bc4ca, 0xdc7da2e0, 0x7356d53c, 0x2f0d352b,
+    0x9a4a30d9, 0x2ff280a7, 0x4c4ae5e4, 0xb2dc6282, 0x08938dc2, 0xeabd3106, 0x2fe4bcfa, 0xc1b30044,
+    0x4125dceb, 0x219cf0f9, 0xa68d900e, 0xf020a172, 0x2b8d0b34, 0x5255b5b8, 0xe34400b2, 0xdc0470e8,
+    0x8912767e, 0xdb8263cc, 0x54c4182f, 0xf466ab0b, 0xda0a5d5e, 0xe1a3c475, 0x9b9a9ea5, 0x5ac6f9ef,
+    0xc0b62b20, 0x0aa1badd, 0xe0e3fe46, 0xffe54a1a, 0x9ebcab19, 0x6d84c6fb, 0xb47342bd, 0x65f99768,
+    0xd384d478, 0x007f54ce, 0x6205145d, 0x90f6ac9d, 0x3a9c4c75, 0x0bb6da72, 0xd3e27f8f, 0xac04efee,
+    0x3d54b496, 0x1bd1da72, 0x141b2bf7, 0x66410f83, 0xda1b4572, 0x400bce96, 0x6e8166d8, 0x89b9ed20,
+    0xedf6c64c, 0xc25804bd, 0x77885100, 0x4c05b6be, 0x05c33c8e, 0xe9e0704d, 0xeaa20bfe, 0x220212d1,
+    0x50998f8e, 0x794d42dc, 0x437b5c95, 0x1993997c, 0x96d9508f, 0xfd20ccdb, 0xeb909b90, 0xf81cc27a,
+    0x8e0f697a, 0xec704460, 0x834866da, 0x12dd77fa, 0x6ce0dc7c, 0xbed239e1, 0x6edb42cc, 0x7302a1f7,
+    0xa6e1e8ac, 0x77bcf6eb, 0xf2872ddc, 0x9c7fcb73, 0x98b275d6, 0x42259fc5, 0x2d152c90, 0x021c537a,
+    0xa17db8d0, 0xe872ba55, 0x4e453bf0, 0xc10e91a4, 0xbea61d49, 0x2ca20013, 0xbcf7e44d, 0x921925d0,
+    0x499efc33, 0xd8c9017d, 0x72633bc4, 0x8c59344e, 0x8f0941d4, 0xa2197260, 0xc593b05b, 0x13fb5c66,
+    0xd7e88270, 0xa71d6dfb, 0x63ec1cbb, 0x084b6d20, 0x2bcfe390, 0x829562ba, 0x290b4196, 0xc3bfc942,
+    0xa1d1afb5, 0xa94ed57c, 0x94b6a85e, 0x27491b40, 0xd0f42d27, 0x01b18ad0, 0x627aa1e4, 0x4d8406a1,
+    0x087e6ede, 0x3f090108, 0xb82b00bb, 0x3804d583, 0x1d96365f, 0xa3e68453, 0x4f49fcea, 0x74994200,
+    0xd3497713, 0x44f5f8c8, 0x6525aa15, 0xb78c66f8, 0xc6e394aa, 0x0af62469, 0x6bb4cc67, 0xf2e94547,
+    0xb399e2b7, 0xd59b9c81, 0xdac304e0, 0x32f30e5a, 0x3f8a4ed9, 0x936efd36, 0xef766243, 0xb2bc68c5,
+    0x92843bde, 0x9c643f67, 0xc500ce0d, 0xe095f934, 0xbf344633, 0xd9353054, 0x9dff16ec, 0x2ed236f9,
+    0x91bafc25, 0x17db1d88, 0xff0c9178, 0x39dc0478, 0xa32fea9a, 0x8ed1994e, 0x2d2c3d6f, 0xba64de03,
+    0xab23ef5d, 0x50080ce4, 0x14ddc290, 0xb3cdf6eb, 0x82c93ab4, 0x8a38bfba, 0x7ecd8aaa, 0x27826c74,
+    0x99c50e93, 0x38af939c, 0xa0fa3895, 0x88aeb385, 0x33c3c60b, 0x20f78587, 0x383648ee, 0x1c08af5b,
+    0x12d5eada, 0x74cb6e99, 0x674cde77, 0x3efd8c33, 0x5a3525a4, 0x3eed5ce0, 0x98fe28de, 0x8301cd2f,
+    0xadda24f6, 0x637b8314, 0x4cb747fe, 0xb54cf652, 0x7961e9d6, 0xd3b6429a, 0x9a1c812e, 0xe7e2bf61,
+    0x1ad33d31, 0xd6572e97, 0xda133a35, 0xa359e824, 0x87f865f6, 0x4d705afc, 0x899632c1, 0x77f65e4a,
+    0x589ae442, 0x3e7fa212, 0x95c783cf, 0xe39fa983, 0x118389bc, 0x04e046f9, 0x6e9d81d4, 0x4803e8f9,
+    0x9483c100, 0x613b4155, 0x9a678964, 0x4d7e000f, 0x1ab8f4ac, 0x2bbc07b9, 0x2af4a45f, 0x373f587b,
+    0x2a0526fe, 0xeb5326ea, 0xae396cbe, 0x9cbb262f, 0xfae9274e, 0x5c680afc, 0xffda19fc, 0xfb76c3b1,
+    0x24a4402b, 0x245e0309, 0x77e23eee, 0xf780fb0c, 0xdda5b58c, 0xce383b41, 0x2a06f137, 0x4ef39db2,
+    0x183bc1c7, 0x8dfbf3f6, 0x6d94b236, 0x1d071276, 0xffd5a315, 0xc00b8ab8, 0x439075aa, 0x1c286d95,
+    0xb4c0753a, 0x1da5f345, 0xe7931aa3, 0x7e7cb7de, 0x90fa2c0e, 0x2c94c887, 0x69e4be7f, 0xfbf4e455,
+    0x285f1648, 0x83a562df, 0xd39c3a63, 0x045475e9, 0xf9b9f1ce, 0x31184dbd, 0xa0bb8997, 0x737d734c,
+    0x21e36ba1, 0x5f1438a4, 0x46d7dd0d, 0x2ef0508e, 0xadbf6c8a, 0x6aa4924f, 0x9b52d416, 0x531b284d,
+    0x61164d78, 0x132389d5, 0x8e68bd53, 0x75024e6d, 0x3366b468, 0x0f38c1e3, 0x2b54d7c3, 0x4203df00,
+    0x7daabc87, 0x3f646502, 0xfa6e27d4, 0x11a8ebbc, 0x5dd1e13e, 0xe54ab3f7, 0xee5ec04b, 0x92303536,
+    0x31f3033d, 0xa767bf81, 0x6c8dc53e, 0x960effc4, 0xb45cd13d, 0x69710709, 0xc7a96a0a, 0x12417679,
+    0xb5e94086, 0x8a857d45, 0xe14a53b9, 0xafd39b4f, 0xb0f5e4b8, 0x6cd3cd77, 0x665e8845, 0x7e880118,
+    0x5a3021c3, 0x510f573e, 0x226e3a33, 0x247714fd, 0x120d537f, 0x8d126ef1, 0xb06acfcb, 0x725b425f,
+    0x86e41359, 0xcbd93580, 0xc4ce0b9f, 0xad670055, 0xd36eed2c, 0xc7e2dcf3, 0xb24001cc, 0xd26d86e4,
+    0xe439be15, 0xad520e00, 0x7e5ac341, 0x16ab2103, 0x51872fa1, 0x11174511, 0x12ab56d0, 0xdf67b636,
+    0x8501aecc, 0xf17f8688, 0xd234fcde, 0x4e192390, 0xbf0c9502, 0x5d845773, 0x1f4ad5fe, 0xc9b49943,
+    0x25aa33cb, 0xc11c9814, 0x4f074862, 0x24171d4a, 0x55eb76e3, 0xf416e569, 0xf0aaec61, 0x3b28b2f6,
+    0x29ba39de, 0x95f8a592, 0xf6dbf551, 0x8d04fa1c, 0x8d9382b6, 0x720641ea, 0x6cacf1c2, 0x2aaa236e,
+    0x9c9ecf51, 0x6d383941, 0xc7b5b6ff, 0x393fb60e, 0x80a7e659, 0x2744eb85, 0xe6e3459b, 0xf1904010,
+    0x212dbaa6, 0x0d23000b, 0x094e652f, 0xd3b40741, 0xc835e41a, 0x31e3da45, 0xe0d82f4d, 0xbbfdaaf2,
+    0x18a068b3, 0xde212b48, 0xc0854ca3, 0x73864fe3, 0xc345ba1f, 0x2d8578d2, 0x77a9b192, 0x9140f836,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000052656145834278593348959013841835216159447547700274555627155488768 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c52, 0xb16e4952,
+    0x00000000,
+    0xb4c4d598, 0xd5ee1474, 0x8ab77049, 0xa18ca639, 0xab02aee1, 0x94365577, 0x6da8cb97, 0xf00e21ce,
+    0xb3e555ed, 0xce9a546d, 0xdf51f40c, 0x1a974799, 0xb6da5ae8, 0x9b2d3e2d, 0x8876ff5a, 0xa233bd2f,
+    0x8103116e, 0xc2e69a02, 0xa36d18d7, 0x76899857, 0x41d0e27c, 0x1ca82768, 0xe5ef4741, 0x2c7fee80,
+    0x46128b30, 0x5a1db12f, 0x9ba6d47f, 0x8ce3f098, 0xe330c4f2, 0x00144354, 0xbc45c1e9, 0x3059d927,
+    0xa5a219e1, 0xccb519e4, 0x18ffa7fb, 0x9a80e0c5, 0x5aceb64c, 0xa3b39736, 0x9b699d16, 0x3e578844,
+    0x189d28b4, 0x95bff1ec, 0x556adbdd, 0xc84ea139, 0xf1d9c9f5, 0x661c798a, 0xfba1da53, 0x0d18e0ed,
+    0xe39fa5d0, 0x8972b323, 0xaa2953f0, 0x7ddf280f, 0x92a4104c, 0x7712cb31, 0x3057c771, 0x5ea841d5,
+    0xeca38dcb, 0x81839aea, 0xfbfaa59e, 0x435a529a, 0x2cfd945b, 0x13ab241f, 0x00081d05, 0xaa0991b6,
+    0x95684dc2, 0x0598aab7, 0x116d2e56, 0x25d11802, 0x00515508, 0x51102603, 0x6deae610, 0xde8a461e,
+    0xd5ddcee4, 0x714c3009, 0xd128d6a7, 0x3c976173, 0x2ab0760a, 0xbcdf5e9f, 0xbc973d03, 0x8d2b164f,
+    0x7a4c3554, 0x4bdc8527, 0xc353e501, 0x22938835, 0xa4970ca9, 0x35adf810, 0x4ebe4a53, 0xcce482ce,
+    0xbfb77cd6, 0xd8c56cd1, 0x7df4352f, 0x3f79e9de, 0x20722ace, 0x820b8e9f, 0xaa675f66, 0x99ed7b89,
+    0x1c07574a, 0xe58fbc88, 0xec6fa13d, 0xfd200684, 0xf73a8aac, 0x7d8a025d, 0x0cf6ea82, 0xa1a8976a,
+    0xb1268317, 0xd710dec1, 0xb0aad456, 0x65711077, 0x70945dfc, 0x273e58cc, 0x36487358, 0xc6eae41d,
+    0x36ad0b3b, 0x10528cf5, 0x0a97f769, 0x862e0b4c, 0xa3c2a767, 0x61fa4dc3, 0x87991864, 0xa496951d,
+    0x88574590, 0xed3f09d1, 0xdbc12dc3, 0x3104169e, 0x3a0f0024, 0xff40f979, 0x74d673f2, 0x6859029a,
+    0x9ceaaba5, 0x1bd9a337, 0x24b2e46b, 0x3ecb140c, 0xde3ddb81, 0x5e87548e, 0xbe3e493b, 0xf3404b87,
+    0x8865431d, 0xf518bf35, 0x9e613b9f, 0x23365789, 0xfdd99ecb, 0xa97396e0, 0x39ad676c, 0x4bc65108,
+    0x159d6579, 0x98dce555, 0x43773105, 0x62e7759c, 0x6d63edff, 0xde66e2aa, 0x9d5874b5, 0xdf28e644,
+    0xfce9841a, 0x25f14e13, 0x4e10fef2, 0x982e89f2, 0x188a1242, 0x7928b0bb, 0x74419752, 0xdb5cc4b2,
+    0x5f37923b, 0xde454e9a, 0x666abe2c, 0x168afc31, 0x99dbdfd0, 0xdd70ea52, 0x12141a4f, 0x14ac2efa,
+    0xd7f61c8c, 0x55bf5283, 0x33bb9c5e, 0x425df717, 0xb6212879, 0x2c966930, 0x1a7c9e46, 0x9cb4b5bf,
+    0xe061e105, 0x5bfcd2b3, 0x79cb26aa, 0x692d8d68, 0xd7c00149, 0x35d5f2b3, 0x6ebcaad6, 0x0058eb47,
+    0xc288ffb6, 0xf8390e6c, 0x15581f91, 0x5da83a82, 0x7ec8844b, 0x3ffd71d6, 0x771829a9, 0x3a2cd634,
+    0x47e56266, 0x0035b7e5, 0x40347e55, 0xf4ab8c2d, 0xe0ab4b8a, 0x04adb5a1, 0xa26b8038, 0x7b6ac3cf,
+    0x0e0ba1dc, 0x27f925f2, 0x98cfae97, 0xe4a80274, 0xc4b183d0, 0xe619e291, 0x8a016f30, 0xb50e1966,
+    0xb3ab03f0, 0x4d440a8a, 0xa6b3ce23, 0x084cc613, 0x1b85c6e8, 0x467ed126, 0x57f69d47, 0x0f3e1df4,
+    0x429aec0f, 0x7813fd57, 0xe83623a8, 0xd248f480, 0xd9a7f138, 0x33eb8ee4, 0xf4eb35a1, 0x249ec15b,
+    0x9bb7a66a, 0xaade9914, 0xd974e0d3, 0xf1eb01a3, 0x4453b4f3, 0x0f8476d9, 0x27fcb19b, 0x09d13d5e,
+    0x1045d4eb, 0x309b2e3c, 0x70a074b5, 0x4b1e9bb0, 0x6907153a, 0xd84ad8c2, 0x83a41d1f, 0xc02d6fb0,
+    0x2334428e, 0xc48e0b14, 0xffe29903, 0xb6df8be7, 0xd4208a6b, 0xc3404d86, 0x7b44dd3d, 0x81b2cbd3,
+    0x832740f1, 0x01c9bb24, 0x855b5e09, 0x8b7c7ebc, 0x5f5d070b, 0x72802a98, 0x13405bb3, 0x5bb9955f,
+    0x0e9011d3, 0x28ef6fbc, 0x03a477c4, 0x0368d7b1, 0x58958762, 0x2a8d7982, 0x040c26a7, 0x96ae3594,
+    0xbf31b8d6, 0x4acbee6d, 0xf664f8a5, 0x41f7c679, 0xfe383f79, 0x73ef88cd, 0x1720fb19, 0x5a815b2d,
+    0xb063c74b, 0x3c5d33fa, 0x2a4661c5, 0x6a88ca73, 0x70dcb519, 0x84091868, 0x76195594, 0xf897db15,
+    0xea191012, 0x1c662c1c, 0x89634269, 0xd1078a4f, 0x30c80f27, 0xa01c7e66, 0x1b67f4fc, 0x68bfdecb,
+    0x351a6979, 0x904720ba, 0xb585f24a, 0x73b3633c, 0xb9fdb658, 0x5c1645b9, 0xee6a5a10, 0x8cfca56f,
+    0x531cfacf, 0x98e189c9, 0x1fe202a7, 0x9927a712, 0x26cb0573, 0x3814af99, 0xbbe1e796, 0x89f41069,
+    0x3fc83c19, 0x51e2acb1, 0x2c35c4ef, 0x0bfcd724, 0x562d75ef, 0xf7477411, 0xf1b01295, 0xf46fd7b1,
+    0x0800e698, 0xcd9ac2ba, 0x5bc5933e, 0xbea051c5, 0x2d235b98, 0x945d1217, 0x0356f229, 0x143f9396,
+    0x42a023f3, 0xa0664ddd, 0x40314bfc, 0x52d1363a, 0x09a7bddc, 0x2462ec35, 0xd048fd41, 0xa0a225cf,
+    0x83abcff6, 0xccf30851, 0x6dadcaf6, 0x1c35eb6f, 0x942f612c, 0x2746a997, 0x50e35b90, 0x549fe7e4,
+    0x784368a1, 0x1a9652d4, 0x2fec5128, 0xbfbfed1b, 0xf883a8f0, 0x58a3f73a, 0xcb271e97, 0x0b95410e,
+    0x9d1128bb, 0x4bdbf6df, 0x692f6d3f, 0x66aa5d4a, 0xe0f295c3, 0xabeb51e8, 0xe4aaee90, 0xcddac60f,
+    0x8e611202, 0x708f48e7, 0x7200da9d, 0xc1403674, 0xc9098792, 0x432f0e95, 0xff62ade9, 0x21edf5b0,
+    0x32b73b90, 0x90d54de8, 0xaa9afec5, 0x51eb381e, 0xdea82344, 0x87d8dc9b, 0x3af81427, 0xade12e8c,
+    0x0d604209, 0xe6d89024, 0x42e2f282, 0xae9ba40b, 0xa228da5b, 0x7215b242, 0x757d0805, 0x08e22989,
+    0xd2783e7b, 0x01ed0ad0, 0x5d9ad9b8, 0xf498fc42, 0x41a50a56, 0x49ff77de, 0xa9350a94, 0x6234439d,
+    0xd2a9db4d, 0xc74aff14, 0xdad76f6e, 0xe92196e5, 0xdee9d389, 0x6287dca0, 0x3fb9025f, 0x051abf47,
+    0x68968788, 0x1573131d, 0xcaee9546, 0xba525a82, 0x13daeecd, 0xa244f512, 0x905697f1, 0x22671ff7,
+    0x48ad5813, 0x2a6ee114, 0x680b9796, 0x4ccccafe, 0x1ebc4cc5, 0xae0bded3, 0x501972cd, 0x26bc9786,
+    0x261508af, 0xb83e6203, 0x5340c442, 0xb6651137, 0xbf83f707, 0xe0a17368, 0x55f0582e, 0x74b5da5b,
+    0xca2a5acb, 0x43430a9d, 0xbf3cb28e, 0x88985ea4, 0xec94e3f6, 0xccf93a74, 0x5e9ac83b, 0x3e288558,
+    0xe0fb63c3, 0x2721ec62, 0xb3b1fa50, 0xe50bea90, 0x61dad863, 0xa70ab31f, 0x3e4e25a4, 0x1ec393c6,
+    0xfd0c9126, 0xd45c89b6, 0xdca15338, 0xaa5aedcf, 0x6039949e, 0x97b2b747, 0x2949b687, 0x010b6bf3,
+    0x9e59e3ee, 0x1546b446, 0xba927d43, 0x6f9f06cd, 0xb1390b82, 0x63eea0f2, 0xabf42a55, 0xd39c17aa,
+    0x476d57f0, 0x6afaa7c0, 0x76a88bf7, 0x28070673, 0x6397326c, 0xbb621f05, 0x672e0988, 0x5865903d,
+    0xde904f94, 0x262fd8b3, 0x069b5a3b, 0x685c3331, 0x401b78de, 0x12a19512, 0xf54bc82b, 0xde75dd74,
+    0x7acd8edf, 0xd97ad4e7, 0x2ae033c8, 0x6d4ddbe5, 0x14652380, 0x62053fb4, 0x48f620f8, 0x1c994f05,
+    0x31c54209, 0x06d4a50e, 0x8e38cb49, 0xb7ed42e6, 0x03b2b3b3, 0xd65c25c1, 0x6b78ff8d, 0x21b13ef2,
+    0xc6281daf, 0x8a9f80fc, 0x6242d9d0, 0x75b55212, 0x84e4281d, 0x46153d18, 0x705a0ba8, 0xd381b59d,
+    0xd5c31300, 0xb48fc3b4, 0x69527198, 0x846dec80, 0x3aa83869, 0xe59f4487, 0x0fe58f10, 0x5a92459a,
+    0x14bd6510, 0x7593e15b, 0x857133de, 0xcdc91d27, 0xc4a18d34, 0x59c8768f, 0x7c4221e4, 0xb4f3c427,
+    0x6254e8e0, 0x2c322aaf, 0x3e047818, 0x0012d80c, 0xa5a9586f, 0x98bb0a4b, 0x23dcb29b, 0x1a6b2b80,
+    0xca222a90, 0xc00d7a80, 0x10599279, 0x001e36df, 0x56fe7879, 0xfc933b0c, 0x8ee33728, 0x346e1446,
+    0x8beac7d8, 0x6cc7f515, 0x8360ae81, 0xb0d793ea, 0xf2d36a3b, 0xedde3996, 0x0edfb05f, 0x83d7fbaa,
+    0x4c3f9b5f, 0x99960d6d, 0x366dec98, 0x6e7b9f38, 0xdd311a69, 0x454ee92d, 0x5fcee1d8, 0xbb802881,
+    0x4eb5c13d, 0xdbdd243a, 0xd2e1dd1e, 0x19a147b0, 0xf88cd90d, 0x6e85bfd8, 0x4206cea6, 0xf49e816c,
+    0xd08211d4, 0xd32a6304, 0x2407b6ba, 0x8375c30c, 0x518677c7, 0xd7bbed9e, 0x6f42e76a, 0xc7ba31a3,
+    0x70837d25, 0x0ae22168, 0x1d375083, 0x8dc2294f, 0xb50cbe96, 0x88d0ed5f, 0xfa25a81f, 0xd1303076,
+    0xd3878c6d, 0xc6fbc67e, 0xe638a34c, 0xa81ba309, 0x9791e2f9, 0x91f9a9af, 0x4be7f529, 0xd8e4b62e,
+    0x247c076a, 0xdc1d558e, 0x842ee2f5, 0x48551abb, 0xee274c88, 0xed3bee5c, 0x13083b6e, 0x3c9f294f,
+    0x0697bf17, 0x9da5aa1b, 0x0c5421a9, 0x57a0790e, 0x93d0117c, 0xc3f68e80, 0xa3e52885, 0x08dd4ea3,
+    0x8a934a06, 0x9495c60c, 0xfb7a4bc3, 0x96e3fc27, 0x0c5d9943, 0x5cd4c960, 0x403b7b90, 0xd921adf4,
+    0x25df0c53, 0x435c3afe, 0xe8e4cb34, 0x1ecea307, 0x2d67ed0c, 0xb81d7957, 0x009219fe, 0x680bf655,
+    0x70353572, 0xce59b4ae, 0x0ab8656f, 0x79281529, 0xa9833e41, 0xa1b6df23, 0x20ec9b43, 0x5acc74c9,
+    0x906631b6, 0x9568ef10, 0x04f30d1b, 0x0248d429, 0x82119784, 0x2aa198d3, 0x2b4088b2, 0x8295bdbe,
+    0xd891ab44, 0x42e73474, 0x08effaaa, 0x2f129bbe, 0xb38233b9, 0xedf94dda, 0x6a454676, 0x662e02c2,
+    0x5e881bef, 0xa47b6831, 0x455acc5f, 0xe33df428, 0xbabebc58, 0xe7979162, 0x86f764db, 0x90e3af98,
+    0x5b4ed353, 0x7d858fdb, 0xdefa2428, 0xda15ba87, 0xcbd4497f, 0x90edfa6e, 0x1d8f8802, 0x31094f55,
+    0x935a0a2c, 0xaeb07553, 0x0484e3c1, 0x59ee9554, 0xc8243f29, 0x28d000a8, 0x93a9efde, 0x9212a836,
+    0x94c98260, 0x4ec9f0b0, 0xb27e43a1, 0xe710ac8c, 0x93684172, 0xee65d750, 0x49a97237, 0x8d6b157f,
+    0x67bd3fda, 0x95ef8d81, 0xbebb8ea9, 0x9c71fbe8, 0x9c02a13e, 0x51203853, 0x36bbf98e, 0xd49251fe,
+    0xedf79c51, 0xf22889eb, 0x374fd5b2, 0x47fd8886, 0xb04af8e4, 0xe41eacf6, 0xb7982cbb, 0x89a541fa,
+    0x737b7b77, 0x4d62c7c5, 0x865f4b23, 0xcecec8d6, 0x00170c9a, 0x72347859, 0xfa03c100, 0x12e85f77,
+    0xa5440ef5, 0x4bad3d58, 0x3b59c717, 0x2d2f0713, 0xae377927, 0x270d7519, 0x80679393, 0x9c2cc1a9,
+    0x31a5e6c4, 0x6ce8da8a, 0x8e6402b4, 0x60ac5587, 0x059f810a, 0xbc8ccad8, 0xe65d708b, 0xcf4430ad,
+    0x8e037923, 0x909762fd, 0x7059181c, 0xc7ddbec2, 0x7b0df7b3, 0xfae457c8, 0x0e3ece1d, 0xc5ff24fc,
+    0xf3a5985e, 0x020184ca, 0xf52726ec, 0x959d171c, 0x3cb68f5c, 0xb538af51, 0xe21ec81c, 0x0acbaa81,
+    0x35565bf5, 0xe9a0d928, 0x5876f75a, 0x49bab18c, 0xd1931e46, 0x3f57fde6, 0xe1270558, 0xe3f06c8a,
+    0xbc23eb89, 0xd43f859e, 0xeb8d6661, 0x24da8855, 0x36368666, 0xb8c94a0d, 0xfb8bd202, 0xc377214f,
+    0x7da9273f, 0x1dc45b6e, 0x811219b3, 0x9392ae3e, 0x1547ce32, 0x6983230d, 0x64080060, 0x3824948a,
+    0xff5ebae7, 0x47b67e4e, 0x6e2ac890, 0x529f9565, 0x7fffd809, 0xe8bd5fb6, 0xd21e51ff, 0x44d61816,
+    0xb6e6100d, 0x98620d32, 0xf100065d, 0x21d87474, 0x5e4a2eaf, 0x7916f002, 0x44380090, 0x236d3305,
+    0xfd255857, 0xb80e6db1, 0xbd8f3604, 0xc4dff904, 0xffd48b5d, 0x7ee819b3, 0x162b7842, 0xdfdad7b5,
+    0x09ded0f7, 0x9f57c2af, 0x64a0e1f3, 0x2735d925, 0x50b6d776, 0xdd7b1a0c, 0x58768f66, 0x170624e5,
+    0xaea2131a, 0x7fb0b3b1, 0x112e10f5, 0xe5dc747d, 0x2a49370d, 0xab947fba, 0x46ea2b66, 0x73feb08d,
+    0x1aad418d, 0x83193052, 0xead4dd87, 0x76791cef, 0xf145e634, 0x2f29c90b, 0x51770eba, 0x9bdf5c75,
+    0x284b2269, 0x135626d2, 0x3d923c28, 0x0079c461, 0x5b5ce269, 0x89e3ce8f, 0xb562df6b, 0x371b6b04,
+    0xa44e0fea, 0x1256244f, 0x06968282, 0xd195026f, 0x2925ae7e, 0xfb47c219, 0x4ba56052, 0x1bfc49f3,
+    0x471d55f2, 0xb1578fae, 0x1f026e22, 0x7788859d, 0xe25736a1, 0xbd3bdfc6, 0x9b63fee0, 0x750167ec,
+    0x1a50aaf1, 0x8df4462b, 0xc608908d, 0x86a8d988, 0x37908426, 0xf8c8008a, 0x65676fc4, 0x8764c107,
+    0x53726bd9, 0x442eefab, 0x01cdb172, 0x7f52b9f0, 0xbadad9ca, 0xa53782fa, 0xa24c4137, 0x49067f88,
+    0xcae02a5b, 0xf337e087, 0x69e6f99a, 0xdcdf24a0, 0x57ede9f3, 0xff9f2a93, 0x255905f7, 0x853a230a,
+    0x3b2274ab, 0xd9c1f706, 0xa91725ac, 0x93d9939f, 0xd1c99c9f, 0x616b43ce, 0x2db2891c, 0x752a9d28,
+    0x3ec3df8b, 0x7af14f6a, 0x80d4a50b, 0xc2657306, 0x3fb5660d, 0xb87e187d, 0xccbe6ab3, 0x3f4643f9,
+    0x9823f554, 0xf4a3d4d6, 0x5531a529, 0x064b1421, 0x471b7a78, 0x3b4ac74b, 0x7787c894, 0x92549fb6,
+    0xa3d18bc0, 0x4b5ddf12, 0x48716d39, 0xf6526ffb, 0xb6e4d0f9, 0x3da1f80f, 0x5af30107, 0x68d975fb,
+    0xacb288c2, 0x1c2a1ec5, 0x8b061854, 0x66428d49, 0x59791e9d, 0x4f5e4685, 0x6d356d19, 0x59fb0de2,
+    0xcdb2e705, 0x274652ce, 0x1eea65c9, 0x08dbe4ed, 0xe1fbd7f2, 0xdf4fdeec, 0x18ccf774, 0xb5635c7f,
+    0x337e978e, 0xb606a589, 0x38691aab, 0x4f49c982, 0xe0fd8a97, 0xce75c184, 0x78561aea, 0xca4473a4,
+    0x671cce3d, 0x3c0ead35, 0x62ed5d58, 0x3206f7f8, 0x6730889b, 0xb247216d, 0xce8bf9c5, 0xac5ab80d,
+    0x51d58f1e, 0x1a7f5261, 0x58956d53, 0xaac73707, 0xded3b75c, 0xac52ef01, 0xb6f067c6, 0x478b1304,
+    0x299df5e7, 0xc8c5086f, 0xcfb7f7ba, 0xf584657e, 0xc676e351, 0x9490f9e2, 0x155fc84f, 0xff55040a,
+    0x831f8684, 0x63b39410, 0x104410ea, 0xf08963a5, 0x7659e803, 0xb3abb659, 0xc0ca2dad, 0x4c38b8c9,
+    0x4a40727c, 0xc3db0764, 0x225f3071, 0x8c706ed7, 0x78036003, 0xaeec8ae3, 0x2d936bd9, 0x04377542,
+    0xa38a057d, 0xddbd84e4, 0x28587585, 0x2527c3c8, 0xcfa5032e, 0xbd6227b1, 0x86e6af0d, 0x19b2d0fb,
+    0xb7831d9f, 0xf8f4a3f4, 0xbf50d976, 0xc94776a8, 0x7dee7d9a, 0x5a655b8a, 0x1ae805b5, 0x2089916c,
+    0xf8fb72d7, 0x65ccdbb1, 0x1b7aed9e, 0xd17856b6, 0xc46bea23, 0x8e44e0a1, 0xc720491e, 0x84798330,
+    0x214d0d6a, 0x628a36ee, 0xe15e3318, 0x61c189f3, 0xce253d4b, 0x8b4c0b5c, 0xf5c1c00d, 0xc85f70fd,
+    0xd5196af2, 0x244d3069, 0x624abcb2, 0xe8ed2fdb, 0x78ce827b, 0xe54c8482, 0xf17e9988, 0xca01ab32,
+    0xcd257404, 0x53b4bdcf, 0xc1dab765, 0xf1af62ed, 0x6e1e59b6, 0x0ddcdf5b, 0x052cb8c2, 0x0c3bf1bb,
+    0xf33cf969, 0x819f4531, 0xaf64a03e, 0x5b01ded3, 0x22d1cf3e, 0x8905974c, 0xed21d9c5, 0xf8822775,
+    0xd44c259b, 0xaf3fa565, 0x21e8b987, 0xdafaecb9, 0x49a456db, 0x6ab650fe, 0x17f05ceb, 0x27149b9c,
+    0x0a3a4a01, 0xa56bae01, 0x7ccdc68d, 0xefc969e0, 0xc9616566, 0x571c9eea, 0x043e0e13, 0xc6cb3f14,
+    0x57daacf0, 0x2c2ec4d3, 0x80336b8e, 0xc8ee0f78, 0x9c79a02b, 0x9a09e532, 0x8fd46094, 0xa1d598f8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000026328072917139296674479506920917608079723773850137277813577744384 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42629, 0x58b724a8,
+    0x00000000,
+    0xd71ed9d3, 0x62421687, 0xccd26624, 0xc5b95065, 0x416267df, 0x344c49a2, 0x9eeec26a, 0x6f5e9795,
+    0xbfa6e48e, 0x0caff2b8, 0xc7246cdd, 0x4cedc1f7, 0x04f6d686, 0xdcf1a58e, 0x934f6913, 0xfecd93e1,
+    0x6ddde62f, 0x3f7c0f89, 0xac73bd0f, 0xe6316752, 0x167b7dc7, 0xb6d6373d, 0x5a815ea6, 0x0d49bafa,
+    0xf5c9f236, 0x7701bb19, 0x1d9921a4, 0xac1c0262, 0x548107f8, 0x58aac364, 0x7febb597, 0x354d9390,
+    0x7344edf7, 0x9bbeab3f, 0xd998eeb1, 0x494bdfd9, 0x0973d09c, 0x61a47b8d, 0x79517372, 0xfd58661a,
+    0x8440e10b, 0x2bc4db33, 0x4a8ffcbf, 0x23e01c3d, 0x7df2f59f, 0xbc7601c6, 0xb3e5c843, 0x5b95da54,
+    0xa047916e, 0x3840c609, 0xd0d3f1e4, 0x8b8e80d5, 0x6f129914, 0xae6327fc, 0x71c94311, 0xa2e02315,
+    0x865b24fa, 0x50821c80, 0xe97a4c8c, 0x23d7c2ba, 0xa2479a79, 0xac8512e6, 0xcef00c5d, 0xea5bc2a4,
+    0x77a137aa, 0xcc7ddee6, 0x36beb6b8, 0x4b485aca, 0x4207dac1, 0x50cb00d9, 0x7b1e48fb, 0x26588582,
+    0x5c2e7f1a, 0xe95e9de0, 0xf592a01e, 0x07fd7053, 0xc3fe3e27, 0x2c9ffb4e, 0x8fcb7c5e, 0xf7824961,
+    0x0443a2b2, 0x183ec187, 0x64aa84a3, 0x84d5ee16, 0x77ef438d, 0x68505149, 0x56213d02, 0x9f99b804,
+    0x4df854ab, 0xc6725d6d, 0xce440c3c, 0xeb7b4206, 0x660357c5, 0xbed6a747, 0x1f71d110, 0xf6a4f765,
+    0x1628141f, 0x15184383, 0x67987dfd, 0x7373cde4, 0x2bb29c90, 0x7fbf387c, 0x9c2ce955, 0xe886d20a,
+    0x6a1d4f39, 0x5cb92e64, 0x46795626, 0x0cb6325f, 0xbf2ae59e, 0x000eb977, 0x4f9d97ff, 0x0149965c,
+    0xee4a7100, 0x99444ea2, 0x52bbe947, 0x0df71c97, 0x5d22d66f, 0xda8f48eb, 0xd59cf270, 0x305f6326,
+    0x0e4bfa2b, 0x69c9e74e, 0xaa892782, 0x92d24cf3, 0xa1337931, 0x8e5b32e3, 0xc3b033c8, 0x759e3243,
+    0x2a5f44fc, 0x851d05b2, 0x4712231e, 0xfa4730f4, 0xc77cdacc, 0x4c58b816, 0x874f2cfa, 0x48c260bd,
+    0x05aa4654, 0xacab0c98, 0x42e19be5, 0x288c244c, 0x82de061d, 0x7d3383b2, 0xdd934ce1, 0xc01f64df,
+    0xe3fb3367, 0xe3742c2d, 0x3c039ba4, 0xf14c9ad9, 0x3cbce98e, 0xedf3f9a7, 0x8dc0abfd, 0x56d91bcd,
+    0xf0ab1431, 0xfddfce8f, 0x42487e0f, 0x38fba6f4, 0x968b1e26, 0xd00d01f5, 0xc001f450, 0x1141487d,
+    0xe0d039f1, 0x85e1fa77, 0xc6858653, 0xe68c952a, 0xe33b7109, 0x3cf2bfae, 0x856ea2a4, 0x647f2c7d,
+    0x9ee7f983, 0x86a58a03, 0xbf5c6e3b, 0xcdea679e, 0x36f43a1b, 0xc14885cb, 0x4c526285, 0xd66e1f69,
+    0x09178038, 0x74305b44, 0xe51a9cb1, 0x1dee3a20, 0x5d7b285e, 0x7e2c74f6, 0x30c97926, 0xac8a77f8,
+    0x3c1e3f47, 0x2c3236e1, 0x41e1e8ce, 0x999fb9f6, 0xf07de74d, 0xd667ddd6, 0xf5f59324, 0x42639e9c,
+    0x2facef9d, 0x936633b7, 0x234e5e7f, 0xc6668fc5, 0xa7afe225, 0x45daf174, 0xca5b04b0, 0x1d4b26fb,
+    0x1884801f, 0xe9102c3a, 0xb203d1c5, 0x6c3558c5, 0xb2420d72, 0x5b861e63, 0x2fb5ca5b, 0x57399a6f,
+    0x681220d4, 0xa93d5bc2, 0x707e14de, 0x412173a8, 0xe67b6bd5, 0xbcd862a6, 0x6d3e48d6, 0x5f83d0ce,
+    0x9d68d010, 0x71fa4fff, 0x676c661c, 0x8b8af7c2, 0x424281ef, 0xafb190d1, 0xabbdccc3, 0x1c1b8f6f,
+    0xaccff8b1, 0xabc04c5e, 0xdd351685, 0x35b9185c, 0xd03fee7f, 0x0c6307f5, 0x281b272d, 0x6b0cdaf9,
+    0xab0d9dc8, 0xf2235532, 0xe94d44df, 0x44f74017, 0xef3c6927, 0xf709cc6e, 0x2ad5ea92, 0x44005303,
+    0xa1076f19, 0xfe8f532e, 0x3eaa0d24, 0xcddcd41b, 0xfabd1b9e, 0xb4da93dd, 0x11e80648, 0xe7d455c8,
+    0x5fb0bc14, 0xb522a897, 0x6ce00943, 0xaacb9168, 0x3f824d84, 0xef6b4d4e, 0x5b29b352, 0x1ec046ae,
+    0x4006c36d, 0x2ad2d34d, 0xccfb94aa, 0xc704ff45, 0xb6bb299f, 0xa1746b4b, 0xbf559ad5, 0xeff25fb5,
+    0xeb266f1b, 0x34827830, 0x6f9dcc9c, 0x2c411314, 0xa6b40ecb, 0x0e8d7cdc, 0x8629dcfb, 0x869a1d1f,
+    0x091433f0, 0xe80c44e8, 0x59c62e39, 0x67dace50, 0xec7d7fd2, 0x12c1f8be, 0x0c46589d, 0xaa52f40d,
+    0x06be4129, 0x8e881545, 0x69a01092, 0xf5aed856, 0x4c049fb8, 0xb78cb9f4, 0xe508d3fb, 0x5d2b85a0,
+    0x129893b6, 0x03de4ed3, 0x9e587a58, 0x2e34baf4, 0x3df9773c, 0x5177da82, 0x2699c364, 0x0ac892b4,
+    0x20cffafa, 0xec47075f, 0xf04a239c, 0xc184f9a6, 0xef506055, 0xbb01ab6c, 0x185423e9, 0x26f54911,
+    0xda6cfdea, 0xce3c0185, 0x4a82e98a, 0x6012d9a0, 0x38f0363d, 0xf081a294, 0xcdff5de7, 0x7a75fd6e,
+    0x88ef2b74, 0x60bc1cf3, 0xa183160d, 0x1fa94488, 0x38702226, 0x66def61b, 0xfc0c95c2, 0x3045f951,
+    0x463844aa, 0x1c5311f1, 0x2c20d64b, 0x51ecf6b8, 0xc87167a1, 0xc667001a, 0xd966b06f, 0x2bccb180,
+    0xb59f5ddd, 0x41699a26, 0xfc0d1972, 0xac50e0aa, 0xa1c8eb91, 0xa32cd766, 0x633bca2d, 0x07339eef,
+    0x9a53c658, 0x83d33067, 0x56c06a96, 0xc094187a, 0x7d739611, 0x2659dbab, 0xa4bb9f04, 0xd17970f3,
+    0xe1d67477, 0x755a6f04, 0x74c22eb9, 0x1307d3db, 0x4ef120c5, 0x542353e7, 0xa6e12e54, 0x1a6fd7f2,
+    0xbb0a3a32, 0xf2fe96fe, 0xc81b24df, 0x3ab2dda7, 0xb458fcf2, 0xe7e0d120, 0xdc14f46c, 0x434d5ddb,
+    0x9bbd01eb, 0xbc914565, 0xf7c50caf, 0xefb413a2, 0xb7a0a575, 0xfa9026e9, 0x15291125, 0xfc729a5c,
+    0xcbb61270, 0x90208d44, 0xb6f10553, 0x04532bee, 0x7ad30c69, 0x500fdefe, 0x2555c43d, 0xdb7a6ab2,
+    0x8f2b6822, 0x778a1f62, 0xcedca6ea, 0xe3b42cab, 0xfe20e0ea, 0x557c3877, 0x54f42a1a, 0x380adce2,
+    0x1ed067a4, 0xa2d1a807, 0x506a7a82, 0x149fd4a3, 0xb1a3bc32, 0xb08bdd07, 0x9105b1e1, 0x0cdd8cc1,
+    0xde93f108, 0x0363a725, 0xa2198151, 0xcc045a7c, 0x5ac019c1, 0x3d1d7404, 0xffd2b9d6, 0x111a99a8,
+    0x3b8a84e6, 0xbd1e3990, 0xf0c8b063, 0x856552fc, 0x31ae4015, 0x0fd801d0, 0x5783486c, 0x2db4d9c0,
+    0xf649827a, 0x08f1d021, 0x426984cf, 0xffbdbcdc, 0xc068582b, 0x36cda4b9, 0x2084197a, 0x64505f17,
+    0x4ad1b77b, 0xda0f1e0e, 0x13e4344a, 0x781943ae, 0xe4e50d8b, 0x5a84b86a, 0x41243a46, 0x7d7dd750,
+    0x8315f0b6, 0x44eff7e2, 0xc2fcc6c2, 0x0e6868ae, 0xea4bcbc8, 0x6e5b96b2, 0x376f8d62, 0x4e06c925,
+    0x945e498e, 0xfd5d424c, 0xbadb661f, 0xf79ae9ab, 0xb615b46a, 0xc66f4d03, 0x116d7b5a, 0x1eab5802,
+    0x5efc9aec, 0x94f3c7b1, 0x9e844a86, 0x170929be, 0x9e7970b6, 0x695ac284, 0x40a6f4ac, 0x6724289d,
+    0xe271cd67, 0x37903d71, 0xa2ad93ac, 0xd6fe2ee3, 0x04912994, 0x7b44995f, 0x66af6219, 0x5b9e6a3e,
+    0x575b9b1c, 0xa6f5a53d, 0x56826d0d, 0xaa5a14b9, 0x3b0e302e, 0xe8545f52, 0x5d96f670, 0x26ea9901,
+    0x38701c85, 0x86484ea0, 0x62383def, 0xe14f4401, 0x8c9025ae, 0x08074d5f, 0x07c62b45, 0xc8861bc6,
+    0xcfd0dcba, 0xa9ad3501, 0xc11568a4, 0x062bf7e5, 0x8867d72e, 0x600f648d, 0xa142da8b, 0xe5175cc8,
+    0x59fee40c, 0x34f6ca7e, 0xe305893d, 0x37b8dc43, 0x26f91ccd, 0xcc3635bc, 0xf61cbdf9, 0xc7b9cf83,
+    0x1dc91683, 0x192d40d9, 0x51a6c3d8, 0x9c185ee9, 0x151dfe17, 0x69e3eb8b, 0xe4c1d128, 0x40283688,
+    0x9f1e1275, 0x83f0c8ed, 0xa88b6dfc, 0x61c5ba6c, 0x0a1ca476, 0x7250720c, 0xce203c9c, 0xa3f0ecd3,
+    0x81b1a501, 0x7de83db8, 0x4afb301f, 0x5bcc2da4, 0x9a25d0b8, 0x604f958a, 0x62cf5a66, 0x9a27766a,
+    0x64a1462b, 0x855bb537, 0x1da12622, 0x589c52f2, 0x35570635, 0x0f8775e4, 0x863fd52c, 0xccbed8fc,
+    0x44238666, 0xb91291fb, 0x984c878c, 0x457bd6ac, 0x5d3ae2e1, 0x22125c73, 0xa2f824b0, 0xf1861976,
+    0x05ea9174, 0x52b64490, 0x811927b4, 0x481cac73, 0xe1ad2ea8, 0x68fcbeae, 0x86cbc940, 0x61988861,
+    0xe375998d, 0x78ae008b, 0xd2bafa24, 0xfdebb37f, 0xb1c288c6, 0x65997f87, 0x994c2113, 0x56a06070,
+    0xbef4ab30, 0x7f1e7bee, 0x126269df, 0x3a187b93, 0x7af8cb73, 0xea51d846, 0x867a48d0, 0x28711d9a,
+    0x6a93b8a5, 0x7de25ec2, 0x860ff3b2, 0x9f543f5b, 0x30dfde3a, 0x83820936, 0x4ecdee59, 0xac75f4dd,
+    0x64b51c17, 0x8bebc3f1, 0x65dd0009, 0x0d380a8b, 0x7d7a6b5a, 0xf1fe6671, 0xa9a10830, 0x68ff9183,
+    0x105d1f0b, 0x3710c95f, 0x0d2b066c, 0x7806f692, 0x19773383, 0x4101e6c2, 0x6df59dde, 0xaf2d5917,
+    0x951e71b3, 0x2d45de30, 0xc9cb6abf, 0xabe071c1, 0x8078bfb2, 0x3b0c68d9, 0x2758cd8b, 0x5bd7ec64,
+    0x5c544fb0, 0xb057d980, 0xb1070c5f, 0x05a53220, 0x8be5ae14, 0x52f98ae6, 0xda52f418, 0x165400fb,
+    0x347eaeb5, 0xd6942b55, 0xf105e873, 0x310e5037, 0x0469a023, 0x14b5c27e, 0x8e77ef9b, 0x4f22701b,
+    0x2aa6be91, 0x3128fbc3, 0x0aa9005e, 0xca563a4f, 0x03439d0e, 0x6ff0e302, 0xc3621d03, 0x1153a12c,
+    0x92b15449, 0xd812e182, 0x2476983e, 0x60f64e63, 0xd9910440, 0xed360e5c, 0xbb2c0bd2, 0x6633a850,
+    0xbbc1b8cc, 0x4a760b17, 0xbd4dc949, 0x664435ca, 0x8a845ec0, 0x4bb48c20, 0x0a4cb017, 0x01a15660,
+    0x83909334, 0xa53f930c, 0x0d881bf9, 0x084fe822, 0xf8aca778, 0x77e13b24, 0x50d5ae69, 0xccc25eea,
+    0x1c0c95cc, 0x771f1624, 0x25a35724, 0x25a064a7, 0x9988bf05, 0xd31c443b, 0xe1ee0b8a, 0x6f8b3e05,
+    0x4dcbeb7c, 0x67279de7, 0xa9913ded, 0xb12b0958, 0xc130629c, 0xb9006903, 0x83e708b7, 0x18b1c932,
+    0x1fd911ae, 0x215d7090, 0xfc7fa802, 0x1f436a20, 0xb0edb799, 0xb246f5db, 0xa6d7d21f, 0xe26a2487,
+    0xfbfb28b6, 0xf598175e, 0xa9fb5cc4, 0x700e35f1, 0xc5b7383c, 0xd0c2bca3, 0x15f6ceb6, 0xe0c8c6f5,
+    0xbefeddf0, 0x25b1e6cf, 0xea316231, 0xb2887201, 0x22c02d30, 0x17aadc43, 0xcdd69390, 0x1d6e607e,
+    0x3da73869, 0xd603a8df, 0x7dc9ec39, 0xf81dba1e, 0x6f50dec3, 0x50c9ac03, 0xed74aec6, 0x03e70581,
+    0xfb109e48, 0x991d6f28, 0x78262959, 0x8ff9b234, 0xb10bae8e, 0x4565ebe9, 0xfa4506f4, 0x57dc5856,
+    0x6100f477, 0x88dd6f33, 0x7b001ffa, 0x3d3c032c, 0xf46d386a, 0x9ee331a8, 0x97ca4a6b, 0x025e7069,
+    0x6100b7b4, 0x9115fd1c, 0x31f83c3f, 0xf264aaa5, 0xb1e51549, 0x6256b543, 0x871d7b82, 0x45e29e3c,
+    0x22a39729, 0x47c33573, 0x28f340f7, 0x91e03471, 0x2bfb89cf, 0x7179b45c, 0x43ed033c, 0xf3d2ddae,
+    0xc3f9bc7b, 0x2ed5c2b5, 0x3925f37e, 0x81834feb, 0xdba8a313, 0x46f1a741, 0x9d11e896, 0xefb15407,
+    0x4630c684, 0x5fd23502, 0xc208e1e5, 0x9f830e84, 0x8657d6c4, 0x0a8e17c1, 0x940713a0, 0x2fa153b1,
+    0x87d55457, 0x2a5fb6f3, 0x5a292680, 0xae42ab46, 0x04a00a53, 0xf1aa50c2, 0x39abaf34, 0x524b599c,
+    0x9c72ee0f, 0x49cdd6f5, 0x6ba12279, 0x824fb35b, 0xd0958c33, 0xc35ba85b, 0x772172aa, 0xe10b2ee0,
+    0x170e92da, 0xa1f07e56, 0x99d30a44, 0x3083c117, 0xe16ae35e, 0xd17baa73, 0xbc2a33ad, 0xcbf61b7b,
+    0x079d4364, 0x02333163, 0xd5485a96, 0x2ce1cd85, 0xa34a79ca, 0x4eb02db4, 0x0e55620c, 0x290d8323,
+    0x9256848d, 0xc7547a65, 0xe4d2209d, 0xcf735045, 0x08a7d9ec, 0x721c7033, 0xaab6310d, 0x4d9b5808,
+    0x71e2898a, 0x9297b9e0, 0x070e6bab, 0xbc3c534f, 0xdcd20a15, 0xad3561e0, 0xb115a9b6, 0xe202ad27,
+    0xd559ced7, 0xe5591005, 0x98ef48f4, 0x57b058c5, 0x5fd111ea, 0x6a1156d5, 0x8308fe32, 0xaa4c0522,
+    0x69d61670, 0x46b87b31, 0x70c8772d, 0xd6e16080, 0x4c920f4b, 0x1b26b8f0, 0xfa23892b, 0xf44ca46c,
+    0xb842dc68, 0xa7174399, 0x38cff470, 0x45b8404c, 0x61fb50fe, 0x97c47e4c, 0x293a2d20, 0x973ffb3a,
+    0xc4c99280, 0xad2ecadc, 0xfbc211a8, 0x7fad574c, 0x0dfca844, 0x3a464519, 0x311e3e61, 0xd9de13fe,
+    0xadcbe8cc, 0x8c46ea17, 0xeeebe362, 0xba09b4e6, 0xfc1375b9, 0xfd776ec7, 0x98887782, 0x93df6d82,
+    0x628bb190, 0xc1fa74a9, 0x7e52bc9e, 0xe146b189, 0xe54743b5, 0x6ce2dc43, 0xcfaf21a2, 0x02339a80,
+    0x48b0e0ec, 0xe28e3f7a, 0xc664443e, 0xddfe766a, 0x64896de1, 0xf7b9c6a6, 0x2356768d, 0x6c13a0fb,
+    0x3319a8a0, 0xa975a887, 0x2ed54dca, 0xcd117a36, 0x33deab73, 0xd50334b1, 0x3ee865b9, 0xfb570f21,
+    0xdd46d918, 0x52e9be1e, 0x94bcb426, 0x2ebfbe4f, 0x9ae476a5, 0x14d4de7a, 0x62dcd028, 0x57bd71ae,
+    0x1ce3f970, 0x609222c0, 0xe932659b, 0xdf9c0b0d, 0xa2c7c8fc, 0x23c5b4f6, 0xbc900bde, 0xf13d2bd1,
+    0xe613214a, 0xc9ac042a, 0xd3d212f3, 0xe28448f4, 0x8b9cc2ea, 0xe19e8cef, 0xfa7208b8, 0xbcfd6aa7,
+    0xedd2cfe1, 0x9e69a0db, 0x521f6405, 0x447b33f5, 0xeeabeb89, 0x287e0459, 0xee9bc5d2, 0x48ae2bc7,
+    0xec43bf0a, 0x1ff16059, 0x4beee569, 0x6e4c0d17, 0x61d2aab4, 0xf75cb48b, 0x58c2bb89, 0x006c3bf1,
+    0x6220438c, 0xa8da0387, 0x48ddd87e, 0x896ab32e, 0xa707a80d, 0x08ff70b8, 0x349705bf, 0xb7c85479,
+    0xeef811f7, 0x3a692667, 0xd0203026, 0xe2f01b76, 0xd75fd325, 0x7790b909, 0x55ee4141, 0x46c26aa8,
+    0xc917bc80, 0x4da01af3, 0x5a8d23ae, 0x491f893e, 0xaf5f216c, 0xb4249013, 0x354ee3b7, 0x0d349644,
+    0x9b6792e4, 0xaeb8d2a9, 0xbc6c1129, 0x5b3c3997, 0x8d8b0e07, 0xffa80f29, 0x726aaced, 0xd3a82969,
+    0x79eda744, 0xca7047cd, 0xec3a5838, 0x97e6592e, 0x7fec2ce1, 0xc9f97342, 0x68399bba, 0x235a9667,
+    0x8cc73e26, 0x29c6ee95, 0x8328bf72, 0x08e71eba, 0xaf3a791c, 0x93ee8a90, 0x1d4e725d, 0xf162d785,
+    0xa65deef5, 0x90f6e848, 0xb9f08fa3, 0x8a87d9db, 0x8d593614, 0x1c16b03c, 0x9efef327, 0x32ff0728,
+    0xbe2c639d, 0xd0c2def6, 0x327f807a, 0xef924913, 0x33649746, 0x8a4e8c0d, 0x4fc70f87, 0x11548be6,
+    0x9dff496f, 0x61cae311, 0xbfc4731d, 0x5cc07d2f, 0x0b6eae9e, 0x213bbdbd, 0x91edc115, 0xd7a80720,
+    0x67ab3d78, 0xd1debbef, 0xc102da70, 0xf88f7ab3, 0x12302e55, 0x264e8f2e, 0x06877042, 0x59cfb6c8,
+    0x4880f7c6, 0x5dcb0be6, 0x9f58ea26, 0xd32b45e9, 0xefb75fe9, 0xdf45ef49, 0xd6667001, 0xffca2091,
+    0xef572164, 0xf565a2ac, 0xb5e68c4b, 0x88e267aa, 0xf714a48e, 0xb7d2b22a, 0x7b63159f, 0xc64be436,
+    0xf20230eb, 0xd13cfa6a, 0xdf9edef8, 0xfb4bf3e2, 0x75f52cc8, 0x5f176267, 0x7dda747d, 0xd360c772,
+    0x745d9d7e, 0xdae21e4c, 0x388d0fee, 0xa954cd2b, 0x7aac0be2, 0x32b3b384, 0x4a77a983, 0xa8adc737,
+    0x745bfe83, 0x9d457048, 0xd5a4e625, 0xcb16e77d, 0x7c865473, 0x7df105cb, 0x46a90673, 0x25ba2956,
+    0xd453ddab, 0xd3af13e7, 0xa3e20c5e, 0x2812daa9, 0x52a943eb, 0x12883944, 0xf9d3b0d9, 0xa6df07f2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000013164036458569648337239753460458804039861886925068638906788872192 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721314, 0xac5b9253,
+    0x00000000,
+    0xeaabfab0, 0x6bce3b8e, 0xc8a1abc9, 0x81d3a7fa, 0xb3d3cdae, 0xd33c81cb, 0x2ac1c4a7, 0x0232d45b,
+    0x008e8b4f, 0x825e6e33, 0xc128b957, 0xc64fa660, 0xf948eb3c, 0xcefd8ae2, 0x2f4cf375, 0x244eb9b5,
+    0xa67a34a2, 0x0bb86ebd, 0x3ef3d31e, 0x6cb13c00, 0x067a2e29, 0x4baff475, 0xefb7bef9, 0xac5481f3,
+    0xa0410835, 0xd590b277, 0x58619bb9, 0x4de092e5, 0x4f0723bb, 0x8c927060, 0x905ea71b, 0xb74ab66d,
+    0x9f3e234e, 0xc052326c, 0x19bb76bf, 0xa1edf972, 0x31edf0fc, 0xeef0c34d, 0x8a7a73b7, 0xbf0ac97f,
+    0xd7e6b9d2, 0xc70bd095, 0x1623c4ee, 0xa397e37d, 0xad5ad1e0, 0x996f6d27, 0x5f73c9a1, 0x71a5fcc6,
+    0xc62c9451, 0x6baea781, 0xa5b630df, 0xd6fe868b, 0xf71992cb, 0x1e9ffae9, 0xb062295d, 0x7623b205,
+    0x1bf4fece, 0x65e87d47, 0x2cbbd957, 0xeb2b10b5, 0x79d43587, 0xa38408e2, 0xf52d8c4b, 0xd3b36b98,
+    0x5278e83f, 0x20477e1e, 0x8732bb37, 0xab02e69f, 0xb4408131, 0x0c4fc277, 0xfee3fbab, 0x98c446af,
+    0xe6f4bfaa, 0x411a56f5, 0x2b980e2a, 0xb0aea2c9, 0xb9f9fe9b, 0x20442afc, 0x6a42c5bb, 0xe7a47a33,
+    0x484f0f17, 0xe2d6f586, 0xdd7613f6, 0x8a9bc032, 0xd16a45b3, 0x1c5165eb, 0xd1446e0e, 0x6571e507,
+    0x9d9a5ab9, 0x96ef13f7, 0x93a399e3, 0x839aeabf, 0x8dd30d86, 0x1936f544, 0x85dfa749, 0xc4a4a405,
+    0x481b11e6, 0xdfef182f, 0x0f4eaad7, 0x7a5e1961, 0xdc235fd5, 0x67b662b5, 0xab39006c, 0x545c0e98,
+    0x4006fe70, 0xd0facba2, 0xb1a6957b, 0xb243736b, 0x21de66a9, 0xd023fbff, 0x80cb70d3, 0x518758a4,
+    0x6f4b87f5, 0x5ad396d8, 0x8a70a76d, 0x0d15c645, 0x371d7201, 0x4fd4af9f, 0xb74b611f, 0xc39af300,
+    0x70bf256e, 0x593766a9, 0xbbbb1512, 0x17745a42, 0x035b1d83, 0xdd89d363, 0xd8f3e67c, 0x12f99f94,
+    0xb1aa23ab, 0x42313546, 0xf77e3409, 0x2f7e4655, 0xfa15648c, 0x8481bc58, 0x7a965590, 0xb629c7ea,
+    0x3766d7d8, 0xcbe9782b, 0x0368f176, 0x374ea3a1, 0x2b15c69a, 0x778b4558, 0x2f34228d, 0x1e4bd730,
+    0x68c087d0, 0x92b93872, 0x7c2773c7, 0xc7c2a9c5, 0x65cd1b98, 0x4851b4c0, 0x66a22cc6, 0xf3604a53,
+    0x57dd404f, 0x90a684f3, 0x18098423, 0x43448f1f, 0x21b524e9, 0x00e99c5d, 0x23604b4e, 0xb182f7d1,
+    0x6249ca17, 0x5d9daaf9, 0xc1691f51, 0x10062e2a, 0x59aa04ed, 0x0d858f44, 0x841848f0, 0x6903e319,
+    0xf042d928, 0xbf16176a, 0x17c9d9aa, 0xc711299a, 0x738840b8, 0x2b7a9b69, 0x75ff43de, 0x681886c3,
+    0x86dc875f, 0x3aca887d, 0x208471d5, 0x90471915, 0xe870b9f4, 0x4981c952, 0x2da725a8, 0xb0490094,
+    0xe64e67c9, 0x6989718a, 0xf62ce7a1, 0xcabe0465, 0x27abf8cd, 0x1c8cd67f, 0x2b361007, 0x0b2589fe,
+    0xbe27c7d8, 0xbd9db8cc, 0x21d8b392, 0x8574e35b, 0xcb8ce253, 0x40997cb8, 0xc21518a8, 0xcaacc5df,
+    0xb9236862, 0x9d98e73e, 0x0ea4bd99, 0xd18e8783, 0x9c9d7c59, 0x4f058426, 0xf1014c4c, 0x95670d5f,
+    0xd096c456, 0xed9dd823, 0xe709df76, 0xa62b32a0, 0xd9c8e6f5, 0xff77034a, 0x2654eae1, 0xf73b79f9,
+    0xe5f112a5, 0xdf92f483, 0xc18a819a, 0x0d03d84f, 0xec3996f8, 0xb5e40d3c, 0x4692dcb2, 0x5660ade7,
+    0x879bd92f, 0x1a194f69, 0xe52f6e63, 0x3dc88d04, 0x2e432d94, 0xc984ef70, 0xa38544c8, 0xcd65fc08,
+    0xc51d5257, 0x7b261e53, 0x87a04854, 0x06e854ca, 0x74e27921, 0x3ee523b0, 0x71fa1988, 0x099c4713,
+    0x54c7b921, 0x274891a9, 0x406c9b94, 0xbf23eff8, 0x1252fcbe, 0x80aab639, 0x2c64c83f, 0x7913b1ec,
+    0x776d9204, 0x5d5cc777, 0x10162d87, 0x81db3d16, 0x45746e21, 0x55ade577, 0x5c4c9ac0, 0x143364c7,
+    0x45d89759, 0x2ed8806e, 0x0cea5df3, 0x690dfbbd, 0xea9e6869, 0xdb93116d, 0x914aedc1, 0x488693b8,
+    0x6273e43e, 0xd617e025, 0x097fca5a, 0xb728c834, 0xf868d817, 0x6042146c, 0x5982cd4b, 0x3cb191ee,
+    0x03f3b75d, 0x661f2ddc, 0x79d62dc8, 0xb0b84137, 0xc8c6d4ed, 0xc8bb74dc, 0x81792dd2, 0x20f2332f,
+    0x9318ea76, 0x9e6fb456, 0xd51a7cd7, 0x59c3a99b, 0xb8a48a10, 0x3dcb884e, 0x22326d8b, 0x9e6973ed,
+    0x459a9080, 0x609c03c6, 0x8ef1b749, 0x685bc32d, 0x4e65eac6, 0xad5cd401, 0x821863ac, 0xa1d49aa8,
+    0xbcd314d2, 0xdc36682d, 0x4a557905, 0x5070514e, 0x73404882, 0x0a52f6be, 0x54fae0d5, 0x8633b34a,
+    0xc9826eb0, 0xf1a53817, 0xbe0781e1, 0x25b1f226, 0x19947fc6, 0xa3be7d2f, 0x5672ecf8, 0xd60a4cff,
+    0x009175ab, 0x77048d3d, 0x0733582f, 0xb9b70d11, 0x3c86a6cc, 0xcd64cd08, 0xa263ae28, 0xa81d3982,
+    0x6e17961a, 0xcd09d4fc, 0xebcb6c0e, 0x7944c5ae, 0x6c800c00, 0x0314a3fa, 0xd0ca3b92, 0xebf35d88,
+    0xdc4e3fa7, 0x885d1152, 0xcf3da7b8, 0xbf904db7, 0x2bcdb796, 0x878f5605, 0xcf03d5fe, 0x1259c7b8,
+    0x269d5128, 0x285a8551, 0xa2d07913, 0x475e5a00, 0xc5f373b3, 0xeef97e60, 0x72f06800, 0x334472b3,
+    0xae109578, 0xa8f7703e, 0xdcd65bed, 0xdea3e975, 0x3a5efb9a, 0xdc533cc9, 0xb5e2eeca, 0xee80ff3c,
+    0xb9ac9f2e, 0x705d4403, 0x573f1ee9, 0x83b729cd, 0x2d545418, 0x370e6656, 0xd33e9c37, 0x56787e89,
+    0x0d1b8ae2, 0x9c8914dd, 0x9a9a6059, 0xe9fb6637, 0x4bba7c73, 0x2d1d6548, 0xb901cb5b, 0x812b24f6,
+    0x0dd91df9, 0xb8ab884f, 0xce2ca31d, 0xfb1feaf0, 0xf82b4b79, 0x3bb40d59, 0x3c837dda, 0xf401de49,
+    0xb1c983b9, 0xfa1d99ae, 0xfa410f0d, 0x9fabb76a, 0x21436ab9, 0x14387e84, 0x2cc168d9, 0x88c1f74b,
+    0x29fc1c57, 0x739a7261, 0xa2b4bc55, 0x0d718df4, 0xe0133124, 0xa0895bdb, 0x99ba680a, 0xa0054154,
+    0x1fd704b0, 0x9f17581d, 0x6e359b8a, 0x3193f20a, 0xa37d2672, 0xc6de340e, 0x6e7f878f, 0x1075ce4c,
+    0xda733d96, 0xc076241b, 0xfb98ea52, 0x624e0347, 0x97a1181b, 0xa64ffc39, 0x20d35230, 0x2099fd86,
+    0x45cf3b57, 0x76ff79cc, 0x9576fe94, 0xaa400c61, 0xad72fa94, 0x0298ec9c, 0x5cddd60c, 0xb6af7e9e,
+    0x70d63d89, 0xeee9eee9, 0x09cf7494, 0xc974d20d, 0x592f250e, 0x48090871, 0xc476f21d, 0xbb2b4e4d,
+    0xde10a515, 0xbd4861e0, 0x43b74f4a, 0x3cc4931a, 0xecc0e786, 0xe8ecc355, 0x4a3ed9c7, 0x4021169a,
+    0xcefb46e1, 0xb02cbe18, 0xd69fd38d, 0x3e6ad4ec, 0x70145c96, 0x4197c5d2, 0x2d6967ad, 0xa89e7d12,
+    0x05aadad5, 0xb2046aae, 0xfed9be64, 0xba10b8e3, 0x93af93a1, 0x79bf8479, 0x74753619, 0xca4dace8,
+    0x01bfb0a7, 0x5da1a188, 0x3628352f, 0x1aff71ad, 0xa5b185ee, 0x09081dbc, 0xc96f0f48, 0x0e348105,
+    0x5a8d6e98, 0xbdc00928, 0xd1643ddc, 0x2fa5bc51, 0xc155975f, 0x5e6e3b48, 0x17fadde5, 0x44fd9bcb,
+    0x37dd7fcd, 0x364051fd, 0x41c171fa, 0xa03605d2, 0x4b5fd0de, 0x775f1fe0, 0x4b00b5b0, 0xaff52eae,
+    0xd6b0168a, 0xb2a836bf, 0xa3eee179, 0x92ff87c2, 0x1a46196e, 0xb27a8160, 0x0f70c7b6, 0x71eea9e9,
+    0x58751e28, 0xe0fe8287, 0xbba84209, 0x3d52a9f3, 0xf9989d32, 0x28e622f0, 0xfbf6db5d, 0x45093c57,
+    0x83f3839c, 0x1f2b510c, 0x9ace4673, 0x3ef5a6c2, 0x189c820d, 0x535fc6b1, 0xcc3e3f3d, 0x92baeb6a,
+    0x3b12f181, 0x2de451d0, 0x75d995f5, 0x466e6174, 0xda45f42d, 0x68547b3c, 0x34913ed9, 0x8df4caab,
+    0xe59d51b3, 0x402719b2, 0xafca7c14, 0x0772b392, 0x46c16556, 0x105ce4e1, 0xaeeefe92, 0x3f60f606,
+    0xf0b52965, 0x5e70cece, 0xc8f54686, 0xa332df66, 0xec6c30a4, 0xb739714c, 0x2affa4cc, 0x77bd113d,
+    0x5cd6477e, 0x1eaaa662, 0xe046a159, 0xb0cf9bb4, 0x39b0df8c, 0x3ef83fbe, 0x95c33c24, 0x791d10f2,
+    0x1f1eeaa6, 0x4fc81f2f, 0xfb4d7d1e, 0x196ca126, 0x5941fe8d, 0x558e3627, 0xeecf0446, 0x435a4be8,
+    0x47e761f0, 0xec0801fb, 0xaff32fcd, 0x15298330, 0x4b08ce76, 0x95945f95, 0x569c070f, 0xe1115dee,
+    0x0a677086, 0x21767219, 0xcd560068, 0x71ec700d, 0xc04fde9a, 0x6d1d02b1, 0xde7203c3, 0x2ccd9cc3,
+    0x9798fa6c, 0x76ab8046, 0xeb033c31, 0x91499c1b, 0x207fb209, 0xd2b273ef, 0x7255ae83, 0x486a44be,
+    0xd26e0e1d, 0x7ed1e121, 0x4a03a6ce, 0x657df15e, 0xbf7321b2, 0xef261ff6, 0xcbb1b8e8, 0xc5db32ca,
+    0x512b5624, 0x7c5cf26e, 0x32c9c4fd, 0x27e40c12, 0xa630fc71, 0x79335006, 0x2aaacf35, 0xcc40d07b,
+    0x60a669e9, 0xb87890ed, 0xaa47c164, 0x74c72861, 0xe5b28884, 0x84935c87, 0x9aae5be8, 0x4f2cb0af,
+    0xee20f43f, 0xc4ed736a, 0xfa9a659e, 0x6fe9864b, 0x27a555d1, 0x08ce4c86, 0xda37619a, 0x3221e5b5,
+    0x61f26b51, 0x9d62c82e, 0x78b1f65b, 0x3bdae510, 0x598eed8d, 0x90992238, 0xf6a7bc0b, 0x4a762208,
+    0xe110776d, 0x70c4f177, 0xcf1b13ef, 0x1334893c, 0x68cf17b0, 0x24d5d3c9, 0xa982df59, 0x68022212,
+    0x9e5b795e, 0x4a48c907, 0x992e97c7, 0xf904becd, 0x812a44fd, 0xa4de6266, 0xa3220778, 0xd98f2787,
+    0x30bb6cf4, 0x993437b2, 0xf07d14f1, 0x73a28495, 0xc74eba91, 0x83040a74, 0x5aac3b79, 0xbc5ac4d1,
+    0x49502844, 0xe428ef13, 0xe8c1d9d0, 0xa044a188, 0x33b425f3, 0x98119614, 0x184631a7, 0x0b6d42f1,
+    0xa4a1c758, 0x5f8c7141, 0xe6a21ff4, 0x61fb5af3, 0xcc1a1dcb, 0xdcbca8be, 0x4d84ccb9, 0xb5e938ae,
+    0xdda1c4b0, 0x51aaa05c, 0x5d9b5cb0, 0x3ef2e461, 0xb74170b5, 0xf9e7aa93, 0xdfdf99e1, 0x648cdd71,
+    0x185809e3, 0x2358d204, 0x390f800a, 0xf16a7e75, 0x653de719, 0x0a37f9c0, 0xacb9b8c1, 0xa20a3a46,
+    0x94c299ed, 0xaf06632a, 0x20288067, 0x958c08cd, 0x06d281c8, 0x04cad72e, 0x8e3d4cde, 0xbbebec70,
+    0x3aa91b21, 0x10219bc9, 0x1e1f7451, 0x0874492a, 0x505c4888, 0x6a8d9793, 0xa641b153, 0x0369e53f,
+    0x0813cf24, 0x92f61997, 0xb6fc38dc, 0x597fc296, 0xb4673da3, 0xd9991160, 0x97c8bef3, 0x89a5f02c,
+    0x6d94fb37, 0xaa55171a, 0xf881f8ea, 0x825cfe4c, 0xe54cf78c, 0x6a3329c3, 0x777fdb4c, 0xa88c1593,
+    0x12507949, 0x1b3739e7, 0x4c0a3859, 0x4f38d027, 0xc67d2d40, 0xd31a769a, 0xe4ff441a, 0xc03d3231,
+    0xcfa76d1e, 0x408c3f67, 0x290cae76, 0xeded3437, 0x743fde02, 0x80ba778c, 0x964a26c4, 0xbd15cb92,
+    0x37ceb1e4, 0xb723d6a5, 0xbee4df7a, 0x557f0768, 0xd3f368d2, 0x99dec357, 0x063c6676, 0xcb11d34a,
+    0x22b11139, 0x7ac5719a, 0x8a35c14f, 0x486a8c9b, 0xd4d22339, 0xe6e68b29, 0xe9893811, 0xfa68e8fc,
+    0x83853f1b, 0xa821dd1d, 0xac43d1eb, 0x5464e414, 0xf7b53b41, 0x26c9c191, 0x808c0256, 0x6f291de4,
+    0x2bf673a2, 0x48ae4e55, 0xd83c54e3, 0x83d0e50a, 0xf9121e02, 0x1eb0845a, 0x14832f81, 0x98e9a914,
+    0xe11631e0, 0x8bb75b6a, 0xb3afe7aa, 0xe9f68cbe, 0x709005db, 0xa6520946, 0x14f3f75d, 0x603c0e1d,
+    0x575773f7, 0x9a8f4f35, 0x3e99ad10, 0x155f8162, 0x79cb009f, 0x313486e0, 0x2913fe87, 0x8f4b85e5,
+    0x7c254bd5, 0x67b99218, 0x9e064485, 0xb785c774, 0x02d44980, 0xa7dac3f9, 0x3da485d3, 0x06a66d34,
+    0x83a6eae4, 0x8f516626, 0x045dd02e, 0xb016c45d, 0x9945db64, 0x0b762876, 0x1d72a949, 0x4673814c,
+    0x262b7bee, 0x51c93362, 0xb2a2cc1c, 0xbeab5325, 0x43529594, 0x8f0365d8, 0x00ba7080, 0x24c1a2da,
+    0xb217ab97, 0x556d10ec, 0x4a345d34, 0xd990d393, 0xe09c671b, 0x7a5f6e95, 0xea813a15, 0x02e2f1f8,
+    0x6c84790c, 0x5f18b6b1, 0xa3f79c4f, 0xcee7be84, 0x9f6a8828, 0x2d09cd63, 0x65e47785, 0xc609a27e,
+    0xb6ffbedd, 0x4501aa3f, 0x577e3f16, 0xb9a67539, 0x75ff666e, 0xf543e85f, 0x1272a537, 0xe7e9a16b,
+    0xb2f308d4, 0x535e1294, 0xcd5a9bf4, 0x73a87a82, 0xe8d0cf50, 0xab39ebec, 0xaddcdf7e, 0x773c40be,
+    0xe57cf69b, 0xb319b1dc, 0x1c5ab3a1, 0x5609c0fc, 0x0ff04b57, 0x06b824e9, 0xa97771fc, 0xa93e3850,
+    0x4e18aac3, 0x0e9ed3e3, 0x7c0617f7, 0xb44d1c0a, 0x601b928b, 0xce77b196, 0xdb1819a3, 0xe583e101,
+    0xed3e2913, 0x51e0c895, 0x771b5dbf, 0x86aad02f, 0x08467046, 0x3693cd8d, 0x18f1bde2, 0x1293a06c,
+    0xf9465377, 0x98f4a5a9, 0x7dfbe01e, 0x37090c8f, 0xfd1428c7, 0x1c9068cd, 0xc69e4498, 0xd8256595,
+    0x0e0cc357, 0x6e8bbe00, 0x88220c17, 0x41621a95, 0xac5db293, 0x0f2e3e49, 0x31513859, 0xf3aad0b3,
+    0xb861ef09, 0x52e0f912, 0xa8647cc6, 0x8f7f9ab5, 0x7de79e27, 0xf8acd555, 0xca0bcbe2, 0x3073e9b3,
+    0xd5e91849, 0x523e0caf, 0x2f26fc9f, 0x1bf08f48, 0xd843ad49, 0xa28d6bcc, 0x5e4dcd5c, 0x7f54dd3f,
+    0x67977132, 0x81d23d10, 0xd0d50cef, 0x869840e8, 0x22e51da8, 0xbf345b11, 0x6a785302, 0x7d384d48,
+    0x5305d07a, 0xaa569628, 0x14e6b6a8, 0x9a191718, 0xf6237316, 0x6357de16, 0xbce848e3, 0x9fa3d70b,
+    0x13a9e26a, 0x8d27a077, 0xde2856cf, 0x96040b14, 0xe62708e1, 0x50f88017, 0x9ca754e4, 0x5b6c22ec,
+    0xbc79eace, 0x6668fda4, 0xd406f334, 0x0da70166, 0x69d1ccc9, 0x38304c70, 0x0d2fcf98, 0xa6934364,
+    0x98b61167, 0x3c7409b2, 0x74a155cc, 0x213f6d47, 0x9af33b7b, 0xe003e87c, 0x1af330f5, 0x532d871d,
+    0x4c907461, 0xe5f06a1b, 0x02e0d3c9, 0x3ec86c92, 0x9a8cda0c, 0xb74755d8, 0xbcda7e84, 0x3bbf5cbb,
+    0xf88a130f, 0xa7cbdb02, 0x78bef61b, 0x894d3a84, 0xf6673781, 0xfe119687, 0x83c166f6, 0x73d34538,
+    0x96b6bc6d, 0xc8cb4c34, 0x02dff7c1, 0xa2e887c5, 0x4d51b54b, 0xb45beea6, 0x40395cf5, 0xd82c1b64,
+    0x258f4533, 0xa806d1d3, 0x1c3e72d2, 0xe1dfff81, 0xcb1f72f6, 0xdbc38ce1, 0x8f347793, 0x267b436d,
+    0x51111694, 0x6e6e9f04, 0x3ec440be, 0x3f76970f, 0xb408551d, 0x5d30b083, 0x7022e8c2, 0xb2062df7,
+    0x65811ec6, 0xf7588d46, 0x52c67620, 0x306ea139, 0x135ddfb0, 0x848f43af, 0x162722a9, 0xd95ef8ff,
+    0xe06f3c1e, 0xfb0d2df6, 0x50ed1e73, 0x611ddd53, 0x24acc1e9, 0xf2119434, 0x8150aa0a, 0xdf82db68,
+    0x9c3d8b63, 0x085f5de0, 0x0a93fb6d, 0x8a4d1a23, 0x958d65c9, 0x4b7c347c, 0x3889da3d, 0xe0bbe4a5,
+    0x42122302, 0x72747e1e, 0x2b72fedb, 0x17f179ae, 0x0443d2f6, 0x5d8063de, 0x931ddd28, 0x48ecfd1b,
+    0x083b3df2, 0x31c1ccda, 0xc85802bb, 0xaf02b491, 0x72e7c9d9, 0x4c2629e5, 0x6e9f04de, 0xc8fd199b,
+    0x4f3a7acd, 0xe832b5ee, 0xd85eb8f0, 0xd3d2b07e, 0x925d07e5, 0xaf97b0af, 0x0d170202, 0xfc57ca30,
+    0xd5a94ef5, 0x890a6b4b, 0xb9702b49, 0x60b5ce95, 0x3d544cd4, 0xc102e67c, 0x79e11ade, 0x0583a6ad,
+    0x77c08208, 0x4934dff7, 0x40bba8f6, 0x00a4716d, 0x7bfa2a9e, 0xa9786a56, 0xf0f13673, 0xd5135247,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000006582018229284824168619876730229402019930943462534319453394436096 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x4039098a, 0x562dc929,
+    0x00000000,
+    0xad509102, 0x6940d0a8, 0x80fe6684, 0xa1206ff0, 0x8b4e655c, 0xc2bd6515, 0x413fc17b, 0xba59d8a1,
+    0xec433b6f, 0xe2723945, 0xde3d06b7, 0x80ce2532, 0x56987d2c, 0xe6e0585e, 0xcfad4959, 0xe8e5bfd5,
+    0x0477d504, 0x4ec535af, 0x1b481c9c, 0x182d2560, 0x9028bb8e, 0xe436f814, 0x1dd91cab, 0xb7e69e3a,
+    0x2fba4fad, 0x617feeec, 0x414825ec, 0xbff46401, 0x2f57a888, 0x26b760c6, 0x307d8ddf, 0x7e5a74a6,
+    0x1bfd1b0e, 0x4bd3966d, 0x5adba594, 0xeeedabd1, 0xd5d3a893, 0x60da84c8, 0xc503b82f, 0xc0ddc3fb,
+    0xea9f3525, 0x72ac4c1d, 0x32cdcf11, 0xadeaa7a5, 0xc722de40, 0xe2d2b540, 0x25fab67d, 0x34f56ea4,
+    0x40b046c6, 0x9e213485, 0x483bc12b, 0x48592511, 0x5c62b105, 0x0ee17e83, 0x95bd8329, 0x71b77511,
+    0x467d9d47, 0x831dbfb6, 0xafd551ec, 0xa3f7eac5, 0xeae3c835, 0x7860a473, 0xfa5d5318, 0x54553140,
+    0x20e55d76, 0xf9cc76b2, 0x9e3b2150, 0xcbd43548, 0xd4dd073d, 0xcec2d8b2, 0xc3b2dc3b, 0x04082fd6,
+    0x4a05c6a4, 0xb843e6b9, 0x4d22e3c1, 0x3c931afd, 0x16c15ddb, 0x5f4324a9, 0xec924b40, 0xea8019f1,
+    0x6a41b2c8, 0xea09e943, 0xc4352146, 0x572169a8, 0x1e85b579, 0x053bcab1, 0xeacdb743, 0xe1fcf305,
+    0x991fb76c, 0x98f66ce0, 0x5d9ccd14, 0x7af655be, 0x74b9fbca, 0x7c191ab8, 0x5828b51a, 0x1f66373d,
+    0xb9efea1b, 0xe25d8244, 0x948256e0, 0x5746ada6, 0xf0a049d6, 0xc5e5f7ed, 0xd6126bdc, 0x97e3fccb,
+    0xe86918d3, 0xcb4a4b61, 0x2adb64d7, 0xe9448676, 0x67a7798d, 0xd8998e74, 0x35b8e383, 0x09a20f83,
+    0x74de523e, 0xf202fd82, 0x5024bae6, 0xe64f7210, 0xa4578494, 0x6c59cc73, 0x75ddadf1, 0xd529b099,
+    0xd4ef0c80, 0x7db78fb4, 0xc1ee6789, 0x6ca12d69, 0xd41ca1d1, 0x0196d5a3, 0xf46a0c6d, 0x1bc1cee4,
+    0x296f75f5, 0x6f29128e, 0xa39200bb, 0xd3d6ed11, 0x016de35e, 0x5a9745e3, 0x8cbda7e8, 0x794a0253,
+    0x106cf317, 0xe3dc749c, 0x52d15d7e, 0xe3eddb8b, 0xafbcf854, 0xb2da6006, 0x68ceafc6, 0x4819aa32,
+    0xfe62dd2e, 0xe8c0c8de, 0x68703142, 0xa6600725, 0x3c9dde28, 0x793fe34e, 0xeee6428c, 0xbe4bba99,
+    0xbfcc1ed9, 0x2359acd8, 0xf027cf99, 0xda7aca6a, 0xb4b82fb2, 0xfea7a161, 0xcd6691ad, 0x5d0cc5c6,
+    0x5960d086, 0xffb8a7dd, 0x2cc7b496, 0x7626f5ea, 0xd6a54df6, 0x340ae1b6, 0xf2bdb0df, 0x8977dfd4,
+    0x7047fefd, 0x28c5a59a, 0x9004249a, 0xbc5d394e, 0x5a63a493, 0x2df4907f, 0xee4d0918, 0x41ad9215,
+    0xe41438d0, 0xdaad5e1d, 0x5abb8b3e, 0xee507e36, 0x7586666e, 0x2d915235, 0xce862a6e, 0x10859089,
+    0xf1198c96, 0xd11dc9e5, 0xc160b891, 0x183eb5dc, 0x2b7abf90, 0x6cd4e2b0, 0x71db3969, 0x34d8a83a,
+    0xd2293aeb, 0xd2aaa6ae, 0x3853dd08, 0xb510e388, 0x48f79bd5, 0xf37abe1a, 0xe2d83abc, 0xb007f979,
+    0x7f811fa1, 0x592055b7, 0x85d3aab9, 0x8ae68117, 0xee94718c, 0xa4166242, 0x1841906e, 0x288ad401,
+    0x761cb526, 0xf658e22d, 0xd17e99cf, 0x0464a593, 0x02044f52, 0x5c8faaa4, 0xd8ac2271, 0xb476973e,
+    0xf4a1c180, 0x00ff1df7, 0x4d5079bc, 0x53f0c5f4, 0x37ea2f3c, 0x51a0fde4, 0xb0e9a9d7, 0x72c81491,
+    0xc8f8dae0, 0x7d170372, 0xb44087cb, 0x0ed8376b, 0x793682cd, 0x0163dcb4, 0xe5b5d1bb, 0xdbc78e57,
+    0x7f9354c0, 0x1c33b7ae, 0xff8d8456, 0x8b6bcce6, 0xdf4f9270, 0x51a72e1d, 0xb1948def, 0xb45c2211,
+    0xf128b3f1, 0x2c403429, 0xda421eef, 0xd5fbc848, 0x36522815, 0xb21949bd, 0x285b9dcc, 0xc110480e,
+    0x2175a250, 0xf1eab355, 0x8097193e, 0x11e66874, 0xc7072145, 0x1d5d1958, 0x5ac425c7, 0x95d47521,
+    0x453179be, 0xb59f1b34, 0xa881768a, 0x6bb368fd, 0x24b69c60, 0xf9bce824, 0xf6e1721f, 0xa71e5ed4,
+    0x4501850c, 0xdfe9ae97, 0x7c7d241b, 0x8b557d5b, 0xbf44f685, 0xc9b309b5, 0x012152c1, 0x4c988b8d,
+    0x7b971fe4, 0x92a6a17d, 0x8a1f5da5, 0x5ffd9767, 0x591c3413, 0x95703e71, 0xf1668062, 0x846d35ee,
+    0x0a726041, 0x58059479, 0x64a1f5c9, 0x7ce64b25, 0x53bbd007, 0x57e8a1e4, 0xc58fad26, 0x1ac633c4,
+    0xbeb808e8, 0xe6c862bc, 0x91b4052a, 0x9982c9d5, 0x1ef39492, 0xf1f6b4b1, 0xcde4c05d, 0x6019436f,
+    0x004b1d59, 0x8c433a34, 0x16df0c48, 0xdb28d7c6, 0x8f71480d, 0x342a010a, 0x19c4c1e8, 0x05635f87,
+    0xe5a071fc, 0x7a1c8764, 0xbf625b7e, 0x096365ee, 0x5c8630a9, 0xc5c34af3, 0xcb754568, 0x05c1f7c8,
+    0x145cc060, 0x68b6f8bb, 0x21805ab6, 0x4ca244fe, 0x2a278d34, 0xbeb4b899, 0x4265234f, 0x0169c300,
+    0x6c3f145e, 0xa33e35f5, 0xf0d86a63, 0x2f22dabd, 0x848ead64, 0xa065013f, 0x617dc095, 0x5a6c996a,
+    0xdf7a3623, 0xeb513e7c, 0x07633a35, 0x070fe39c, 0x5ac68b0f, 0x95ea8071, 0x8ea6fa59, 0xf4fabdde,
+    0x3b7ed6d7, 0xa14133ce, 0x7ae083dc, 0x75c54eeb, 0x13ebd58d, 0xc6964cce, 0xda070eac, 0x2372e91d,
+    0x27c35461, 0x18064c63, 0x3553a716, 0xa9e4f518, 0xdbebc867, 0x8a871a81, 0x9284950b, 0x80996d9a,
+    0x5dd12c66, 0x003d12ee, 0x374cc7c5, 0xb935c11d, 0xb1bc858f, 0x600a6926, 0x29af41f7, 0x78ef9064,
+    0x60cc823b, 0x13d6b108, 0x0a02a1ce, 0x19969103, 0x997f3aa6, 0x7cc07582, 0x4016f71a, 0xefc5bb8d,
+    0x0d509a07, 0x169a59b1, 0x19f3618b, 0x4129ffab, 0x5b9cae17, 0xaf65570c, 0x1e7ba896, 0x08a11bc8,
+    0xfb309b26, 0x98263f49, 0x76ab8a28, 0x620f6e87, 0xca1b92d7, 0x653faacc, 0x4b618709, 0x19e3d137,
+    0xf231a930, 0x40cd0052, 0x2e9e1a71, 0x7806268d, 0xae0f3991, 0x2b93a288, 0x65011465, 0x63377e6f,
+    0x084734c6, 0x29d08630, 0xe2930bb5, 0x9be007b5, 0xa6741fe5, 0xb05f6213, 0xacd4927f, 0x61eea05a,
+    0x29aeb0df, 0xfa74a4a1, 0x33bc872c, 0xf5babd99, 0xf933c5f1, 0x8ba08da5, 0xb0f93ff1, 0xcb2b1c6e,
+    0xc1184314, 0x9ad4bc0d, 0x37937bfe, 0x7da0c24c, 0x0c19a294, 0xdc9bab87, 0xcd402fdb, 0x3f8e2efd,
+    0x7e607cde, 0x0ab72882, 0x3addf50a, 0x693aad19, 0xc3cab8cb, 0xffffeb05, 0x800afd6f, 0x6ccb1f08,
+    0x6f40723a, 0xc91c97fa, 0x7aad93d3, 0xcddf6100, 0x9c5383f0, 0xed006331, 0x017a437e, 0x6d53a758,
+    0xb46fb016, 0xde516ad9, 0x137a784d, 0x0567fa05, 0x56299f79, 0xbd29bbd4, 0xab6cc509, 0xf9321e84,
+    0x2e383053, 0x35742d51, 0xa97c4f23, 0xbc9ab255, 0x3bca5cae, 0x86846d9a, 0xa3c384c4, 0xa140e37a,
+    0x1711e53e, 0x9323ad70, 0x2aba868b, 0xd5d2dc44, 0xf63dca4a, 0x694b4fa6, 0x4a3f12e6, 0x0446f60f,
+    0x79ac2863, 0x2ac04470, 0xa973d9f3, 0xa03983af, 0x64ad3396, 0x982a6a4f, 0x98b23144, 0xb319b8d2,
+    0x64bcd777, 0x4c125afd, 0x2cf8fc35, 0x6afff577, 0xa72bd4bd, 0xde090637, 0x871aea63, 0xdfd5e09f,
+    0x33eda036, 0x20074ac6, 0xd26d71ac, 0x4683fb09, 0xdca98f96, 0xd2886de9, 0x43b0ec4b, 0x3e6c6c1e,
+    0xe613f14c, 0x57a6aa7b, 0x7bc9acbc, 0xe24d75f7, 0x1af5c008, 0x3dab08e0, 0x3ad2481f, 0xe21f30a3,
+    0x3c6f1684, 0xb0f1cd3e, 0x7be08881, 0x1b166cca, 0xf4bc41bf, 0x21bec340, 0x37a8b456, 0xa4fa7c03,
+    0x9644c5a5, 0xb2a7954b, 0xae12caa9, 0xf934a7e0, 0x04254a77, 0xa232ad74, 0x7cb296c9, 0xb7a735ba,
+    0x01a32333, 0x3d9113d3, 0x9b88610a, 0x7e3e7ba8, 0xa37711a7, 0xbc28fe12, 0x077eb3b1, 0x2536ad4d,
+    0xa3ff39a1, 0xb6b46017, 0x1da7f7e6, 0xa2ad50b6, 0x42dd84a6, 0x3f9be6ce, 0xb956e264, 0xe3b4e825,
+    0x05ea8ca0, 0xb5494b19, 0x9e798253, 0xdad03abc, 0xb15cc005, 0xffe24226, 0xe88d0b85, 0x452de2a1,
+    0x3bf97437, 0xf9d67162, 0x145c1ea5, 0x2220bb70, 0x2f92cb21, 0x483c3837, 0xf35f4a6c, 0xa0d7e2ac,
+    0x5520ba74, 0x189df403, 0x02a9538c, 0xe15fc7de, 0xd629b146, 0x46bb929c, 0x931a61fe, 0x605a82c9,
+    0xc77a862d, 0xfce7ee7c, 0x4141bd1d, 0xc1592626, 0x0c86d146, 0xb388b1d1, 0x05b987c1, 0x1b437873,
+    0x896ad1d2, 0x0b17bcb2, 0x15084cdb, 0xadf8f5ca, 0xab62bc3d, 0xc67e0eab, 0xca57e244, 0x55436518,
+    0x6a6805f8, 0xedda5a49, 0xb317e455, 0x47a69e9d, 0x7909cb3a, 0x4a51e3c6, 0xe8b8a98c, 0x235af3af,
+    0xc7a4d981, 0x4b82ad56, 0x7bf049ed, 0xa9a631ac, 0x7ce64d55, 0x408cba28, 0x12ea2492, 0xced42af8,
+    0x842a9083, 0x9bd693ac, 0x4ab77d43, 0x46d18150, 0xab853afc, 0x056544a5, 0x371337e9, 0x5061ef5c,
+    0x1c04c506, 0xa6fa1fe8, 0xbb7eaf46, 0x0637f456, 0x11a2254b, 0x5b41b1f2, 0x060c086a, 0xd87bcbbc,
+    0x9308c2d3, 0xa5c90855, 0x0d6fe2f1, 0x4f10ff84, 0x44cd27b2, 0x41845d1a, 0x4a2ad66a, 0x66727868,
+    0x4574e146, 0x7b65f257, 0xfc0ec595, 0x0a3a943d, 0x66041017, 0xa66b70d6, 0x5ad5fcee, 0x7573bf4f,
+    0x7530584a, 0xe7f4f8ff, 0xa1692acb, 0x2b6b5973, 0x47306e84, 0x55a3dac8, 0x99ed5968, 0x4f4729d5,
+    0xdd8475ac, 0xb3719b55, 0x48c75046, 0xa635a682, 0xffdab0c8, 0xba8df998, 0xf4320223, 0x6cccc474,
+    0xe4e2f424, 0xabca5b1b, 0x313946a6, 0x470962be, 0xf0036ef2, 0x53ff2ada, 0x6bdd8605, 0x0620d764,
+    0x4d9237a5, 0x87c6a1b5, 0xaf5c72e7, 0x007ff588, 0x2031e73f, 0x6e10ab12, 0x94216e0a, 0x114cbc12,
+    0x042ab572, 0x2435bef6, 0xb6049366, 0x73f6dbbb, 0x7a7d7742, 0xb0b24ae1, 0x7227c06f, 0x00bb58c4,
+    0xbf2570bb, 0xb60d8487, 0xe10d277c, 0x172b95dc, 0xf1353e69, 0x28a1ac76, 0xe28d3d76, 0xfefbd4d4,
+    0x786ce6cd, 0x4819f8bc, 0xa2b305ed, 0x2af90ae9, 0xa3cccb1e, 0xe5130d90, 0x582fb299, 0xea0ea544,
+    0x8b6f2e2f, 0x6e140b13, 0xfd84c5b1, 0x2673a461, 0x016f2b6e, 0x363f0b10, 0x581fe2a3, 0x53aefe0a,
+    0x42d783e0, 0xa7c5247d, 0x8bbfd5cf, 0xc15fa21a, 0xe538d314, 0x95b1c65f, 0xd360bfdb, 0x91652e68,
+    0x2818d7de, 0x946deedb, 0xa12e008f, 0xeaab8672, 0xf0df85b6, 0x8f772bc0, 0x34a44754, 0x921928c9,
+    0xf0a1f0d6, 0x2b5dff8c, 0x45c60503, 0x0ee663cd, 0x43c53045, 0xed27ae75, 0x62c22d0c, 0x69dce855,
+    0xa37ece9b, 0x5226df15, 0x1525130b, 0x0fadfc62, 0x309664bf, 0xd9a5be40, 0x39e590ca, 0xf3d6440a,
+    0x522c0bb4, 0xae663a21, 0xa9f0b398, 0xc628edad, 0x32301c99, 0xc8b517b5, 0x48d8fb3c, 0xb1cd4e8f,
+    0x6d6e2b9a, 0xfcca495d, 0xf45b7786, 0xf9f6d03e, 0x1a356e6a, 0x24d54d76, 0x77886118, 0x2a3ba6c4,
+    0xa8e32587, 0xa3608ee1, 0xcd5046f9, 0xb52fa3f6, 0x7c57bdc3, 0x1978738b, 0xe32c0dd0, 0xe81fd050,
+    0xb002bc9a, 0x966cec93, 0xcf947ecc, 0xc593e39f, 0x7de4e890, 0x38e53409, 0xe787955c, 0x913a23eb,
+    0xad2d87ef, 0x4d6c2e52, 0x4700fffc, 0xc4c45a08, 0xb536d4bc, 0x9182b8af, 0x52031816, 0xb06bca67,
+    0x28c6192c, 0xaf9c6985, 0x7f332a90, 0xdb7280c0, 0xf2d72bbb, 0x0375fa4c, 0x64325a87, 0xd93939be,
+    0x6126f155, 0xafad280e, 0x7446af75, 0x7a98ff91, 0xac4fb8fd, 0xe3cd33b1, 0x2c02b565, 0x053730c6,
+    0x2ebd2e10, 0xbe4111e7, 0x0c1d2086, 0x25ebc667, 0xfc523297, 0x8f27de49, 0xe3ba2a01, 0xd803fc6e,
+    0x08bfcec9, 0x3813b24a, 0xa613d9eb, 0x60d876e5, 0x06565389, 0x39d6c116, 0x980df3d3, 0x8efd74e9,
+    0x8fefdefc, 0xfa491bb9, 0x59c34cb9, 0x8238569b, 0x94307044, 0x11913dbc, 0x8cad1b28, 0x86a5ff99,
+    0xb47da650, 0xb155e172, 0x8def319a, 0x49da93ee, 0x771058a1, 0xda86be8f, 0x92ca1f41, 0x49dcf092,
+    0xa5f8cbe5, 0x4f14b5e8, 0xe63a15c2, 0x1c7d28c9, 0x1025f75c, 0xd2366d4c, 0xeee3f8a8, 0xc56667b2,
+    0xd16582b6, 0x53a62d60, 0x32e20a42, 0x545da0bf, 0x00466014, 0x4099d174, 0x90189622, 0x476c2c46,
+    0x2b539783, 0x0a994743, 0x581c366b, 0x33eb3a2c, 0xa3de8c9f, 0xec1964a3, 0x0a1dfb45, 0xc40cc2aa,
+    0x2b161b04, 0x918151ae, 0x60af3d1b, 0x1208d1ad, 0xf3b16e94, 0x769d8f8c, 0xd36e258f, 0x36718fe2,
+    0xe234b6e4, 0x0268f660, 0x66c290cd, 0x0b38d892, 0x5411ede1, 0xc4a3020e, 0x9a7290ae, 0x7a44fee5,
+    0x67753edf, 0xa9b97cb7, 0x273ae007, 0x522b317a, 0x05ec4a34, 0xabcdeed6, 0x2cf77540, 0x1d2f0cf8,
+    0x758d4284, 0x733b34f2, 0x60a71802, 0x15a317e0, 0x383ed068, 0xcdbf6be0, 0xeae01d40, 0x2680e078,
+    0xbc6d7db4, 0xcf191e64, 0xf636c09b, 0xa8166fde, 0xf652d5c3, 0xbba99eba, 0x43f65e0b, 0xbc259b76,
+    0x973fb4c2, 0xc623b320, 0x8ab4efaa, 0x01478a07, 0x3b5f1e0c, 0x4ae3bf4e, 0xc613d6b7, 0xba69f059,
+    0x737d9e80, 0x1340fb8f, 0xc041abae, 0x13303183, 0x8b18988b, 0x04465416, 0x269aaa43, 0xcdc570b3,
+    0x73fc2967, 0xecad4555, 0x6085da0d, 0x37db756a, 0xf465690c, 0x1679fb28, 0xb8118668, 0xa472edce,
+    0x7a4a0067, 0xceebba6e, 0x17242f86, 0x80056f7b, 0xcb714274, 0xa1953762, 0x5a27ff9b, 0x98dc67fd,
+    0x11b892e9, 0x936b93db, 0x08fc2443, 0xe1cdc4dd, 0xf6a2bd7b, 0x170ec2d4, 0x22db8313, 0xced659d1,
+    0x179d361d, 0x6fdfeaa3, 0x813c61f0, 0x4d643213, 0xb648a5bc, 0x29428c7b, 0x760c2176, 0x4f3a7e6a,
+    0x4850f180, 0x88d1129a, 0xdc9c7e47, 0xc1799f51, 0xbb09b443, 0x1aabb295, 0x7957a8b9, 0xd53f1bfa,
+    0xe9c92b68, 0x54cae6fb, 0x119c01b6, 0x9adf6009, 0x8b3c058f, 0xaa172242, 0x7130dab5, 0x33ea9df4,
+    0xfb88b58a, 0x68cc5cfa, 0x5a62c526, 0x22c466c0, 0x545ac1e4, 0xc29945d1, 0xb9ef0edf, 0x8c0f2e12,
+    0x6155a98f, 0xf6d16c6c, 0x0d667718, 0xe1159185, 0xdf2d7390, 0xac388bd8, 0x25db4899, 0x291f340c,
+    0x859832e9, 0xf0062f26, 0xb5a83792, 0x89fe56af, 0xb4d4706e, 0x655f3773, 0xbee4dc9a, 0x0e3b8ee9,
+    0xbebb6aec, 0x7427525d, 0xe67a0d31, 0xfa7ac49b, 0x60fbbab7, 0x44e5db4e, 0xa600c457, 0x3ae8ee3c,
+    0xf530b2b2, 0x452d4f13, 0x8685b6db, 0x53c6edb0, 0xfe36a0d1, 0xd0f6cce3, 0xced19e1b, 0xa4da1395,
+    0x6b7abf1f, 0x910bb388, 0x5a4bb074, 0x4776bf29, 0x855813d2, 0x9f8c131a, 0x2fcb6fb4, 0x8ec44745,
+    0x21f124f0, 0x02d4ee64, 0x6955e8bb, 0x1c1d4ed3, 0xfa8e5f0c, 0xf9789001, 0xead1327d, 0xf3d2697c,
+    0x2e594061, 0x31226c8d, 0xc64b58e8, 0x801de66f, 0x3f87f76d, 0x038f3e6c, 0x06509042, 0x635cd1b2,
+    0x0232cccd, 0x4550d9be, 0x28548563, 0x14bf8ea3, 0xbe56bbfb, 0xe2c890ae, 0x7f71b34b, 0x7ffa7194,
+    0x4602d50d, 0x495d8e16, 0x97bbfbb0, 0x0b91eea9, 0xf345a99e, 0xbc27943f, 0x928c70ac, 0x97daef42,
+    0x566a6418, 0x6c596991, 0x05c4bd97, 0x8bee85af, 0x5fb46aef, 0x231a7bff, 0x0207e73f, 0x80c245f7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000003291009114642412084309938365114701009965471731267159726697218048 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c5, 0x2b16e494,
+    0x00000000,
+    0x94f1a2f6, 0x765a9035, 0xff9aab0f, 0x5add4671, 0x08c94a60, 0x7cf2b959, 0xa6d9de2c, 0x956d21da,
+    0xa556d86e, 0xb5c3e106, 0xa18d20eb, 0x4289af3c, 0x7e323d30, 0xdcc37364, 0x9a735290, 0x31b34231,
+    0x384fe5e5, 0xe3fe3820, 0xabebe93a, 0xd70bf381, 0xa517a3b8, 0x6054b9dc, 0xc6a3c860, 0x8ef21960,
+    0x960d7eb2, 0x211c6d9e, 0xd747195f, 0x705427aa, 0x0a7c247b, 0x8f66b334, 0x24034ce6, 0xc05a4281,
+    0xa572c821, 0x5a4218ff, 0x66d72375, 0x9eae971a, 0xfd9cfced, 0xd05b3363, 0x8f29bcda, 0x1a00383c,
+    0x2fca09d4, 0xa4394f5a, 0x87922adb, 0xa3a46657, 0x82f13bbb, 0x06bc6e57, 0xd5cac448, 0x040d04bc,
+    0x23db278d, 0x2dc7f138, 0x195b4fbc, 0x6ae80ca6, 0x465a63c8, 0x742e04db, 0x19c33dc6, 0xb663cbe5,
+    0x9ac7efbf, 0x774b08bf, 0x9fd38684, 0x9d8bfa38, 0xb5248518, 0x14fe9ee7, 0xc80020d5, 0x93c6f933,
+    0x256eada8, 0x88232489, 0x01bf0c10, 0x68f94476, 0x70a37881, 0x882311d1, 0x94987a90, 0xe5eb9eee,
+    0xe0120886, 0x090db4e4, 0xfceb06a3, 0x5a97b55b, 0xf3ec1fb4, 0x717e4439, 0xe887a770, 0xaf0be258,
+    0x2f96302d, 0x6adcc592, 0xd36216a5, 0xe3401f94, 0x8bb05b31, 0x1641d317, 0x68d34c35, 0x7fb37e4c,
+    0x28b41031, 0x196d6c14, 0xd4049fb7, 0xc2267afa, 0x4d53a674, 0xb7247d09, 0xd4abf56b, 0x838dff38,
+    0x6c2b0dc6, 0xcf62f547, 0x7fcdc046, 0xf4bc194a, 0x50a33265, 0x9153ae32, 0x112048ef, 0x697b12e1,
+    0xb60bedd4, 0x88bc1b53, 0x0203583c, 0xe47a09eb, 0x771d843c, 0x1f70aa5c, 0xa5868be2, 0x8f92adba,
+    0xe339de8e, 0xa4ba1f86, 0x32a4a4ad, 0xa948c438, 0x520f4ec9, 0xc675b9c2, 0x1487f35c, 0x8bc0b121,
+    0xc953d8c5, 0x21187ab2, 0xdc129015, 0x64041ce2, 0xf735ab99, 0x7b3e5e1d, 0xa490cb18, 0xbf2921a5,
+    0x87d7aef6, 0x6af2f85f, 0xada5631b, 0xb5828227, 0x55245f6e, 0xe9d198db, 0x4c7a1bd4, 0x88fc1aee,
+    0x663b88c8, 0xf9852637, 0x8341357e, 0x31b5ceb0, 0x09020b26, 0xe3c8a009, 0x64af7ae9, 0x41d46829,
+    0x46e9f401, 0x709d72ef, 0x4aa2b4ae, 0xda3faad6, 0xe88ac17e, 0x78404539, 0x6d2d1871, 0xf234c592,
+    0x0fac747d, 0xe7f961d0, 0xe022affd, 0x227878f5, 0x3443e2a8, 0x818fc1c9, 0x2d889b6d, 0x1f239391,
+    0x8ad925ae, 0x14490131, 0xf7eee463, 0x755e5899, 0x12693a84, 0xc102974e, 0xaa3d8512, 0x088b4795,
+    0x36d76ab9, 0xd1a264df, 0xd26f99d8, 0xde7f546e, 0x992f24cb, 0x50cb0280, 0x66f694db, 0xb15dc59e,
+    0x0f290a4b, 0x308164dc, 0x29a7468e, 0xcae86140, 0x6c6fb671, 0xeb24003c, 0x84867822, 0x3a20bc08,
+    0x26a258dd, 0xf52560fa, 0x16035628, 0xa73e93c8, 0x9d3e8ac9, 0xad557cc1, 0x1e4573be, 0x368520fa,
+    0xd8869716, 0xe69e753f, 0x253011a7, 0xe94402df, 0xb181ec47, 0x039ea95d, 0x21327c1f, 0x8ea4bd68,
+    0xaed560f9, 0x7c5f8321, 0xa987ec50, 0x2421429a, 0x4172ea7f, 0x0ba9364d, 0x083c1d8c, 0x9ad9cc30,
+    0xd3023f41, 0x8e3e8dab, 0x6ef8943c, 0xfe4af257, 0xfa56f1dc, 0x07c8fc3c, 0xf850e890, 0x36933880,
+    0x54924943, 0x38d43c6a, 0xd3df20c1, 0x7e2e03af, 0xdc9ceb43, 0x904d8138, 0x42710892, 0xb06810cb,
+    0x9ee52cda, 0xf3f0d182, 0x1cbce79f, 0xba5d0197, 0x64d883e0, 0xf5b82d86, 0xea42710f, 0x20e43e04,
+    0xdf234db9, 0x860bce9e, 0x21d0dd74, 0x56f9b799, 0x6df84d69, 0xe9704ef2, 0x29f3c02c, 0xe09ac565,
+    0x76dd1209, 0x7c4929d2, 0xf7b4f60b, 0xb884ee8e, 0x66c102c0, 0x35f98a98, 0xb4e80652, 0xe3f05c96,
+    0xc24ce05a, 0xc4136f9a, 0xfeddc033, 0xeb3ef019, 0x737035f5, 0x3c7f5618, 0x98a3da0a, 0x21d078fd,
+    0x52f31eaa, 0xde56405f, 0xa013c6d4, 0x72ccabb0, 0x42b8923f, 0xbf72e12a, 0xea7d7501, 0x0bfd9272,
+    0xbc9a8164, 0x67f89f77, 0xc78ff49c, 0x41c5adee, 0x16c830c0, 0x7414e608, 0xa271538d, 0x08bb2d5e,
+    0x640ad6af, 0x375b8298, 0xefa9febf, 0xfe0d4343, 0x92155400, 0x0b9d5dda, 0xd202d4ac, 0x8a4b7c60,
+    0x068b766b, 0xf132773a, 0x7c065058, 0xbebc6a9e, 0x06053eb4, 0x827bdc3a, 0xa8e6b2ab, 0x41dbb732,
+    0xdb1f1060, 0x2e328638, 0xdba159cd, 0x7f9bfeb3, 0x873aaaac, 0x5ec4a443, 0x7d77babb, 0x9da6cf9d,
+    0xa4d29a32, 0x37f1a21a, 0x52f286b1, 0x8cf895ef, 0xef2a8764, 0xa12ca5f0, 0x99f8051d, 0x63f3dedf,
+    0xa3160087, 0xe0c7834c, 0x6dca933d, 0xec9b1dcd, 0x13dad43b, 0xc303ed48, 0x3858528e, 0xbf630111,
+    0xe8187db1, 0x46395b77, 0x49e217d1, 0x187d1d9d, 0x70d45a02, 0x052f3f46, 0x30af5946, 0x55dc4c99,
+    0xb72ab345, 0xae08ff8a, 0x83f5dca1, 0xab3ffabb, 0x82ce9463, 0xfaef506d, 0x8bdc679b, 0x475509d7,
+    0x5df499fb, 0xbcb39735, 0x68af7d61, 0xc9966047, 0x3f046f48, 0xa93e0eff, 0x11dc6434, 0x27a7019c,
+    0xb9ac36aa, 0x02f55fae, 0x4513b542, 0xe6afa16a, 0x14cabb01, 0xe0c3546d, 0xed05cfc4, 0xfd3be4c1,
+    0x96ef25e8, 0x75a77b58, 0xe3d5ff6e, 0x91577fd2, 0x441c54e1, 0xcb615b55, 0x99e03c80, 0xdbcaf5fc,
+    0xf2284681, 0x638d598c, 0x1cc043c3, 0xb6fd3a4c, 0x9262805d, 0x7976f235, 0xfd84fd2c, 0x12956483,
+    0x94c4927f, 0x1459a6f4, 0xfa3b85f1, 0x8c891e11, 0xe8dd0e26, 0x1cd01fd8, 0xad34fd59, 0x1458cd8e,
+    0x0a3474f6, 0xcec6fa38, 0x39a39223, 0xf0444abb, 0x69bb850c, 0xcaa7ee4e, 0xb189f222, 0x711e3f04,
+    0xaf2a6849, 0x24b72f47, 0x1c675c8a, 0x3a02cdf2, 0x96960459, 0x84c3fec4, 0x6fcd2f71, 0xcce596d5,
+    0x27376d55, 0x5dc000d7, 0x5e36719a, 0x3004da08, 0x0dfeb9ae, 0x5797e40d, 0x5618c7ae, 0xa1e5d8da,
+    0xa0784712, 0xa8fd503d, 0x11cda28b, 0x60e21758, 0x68ef0a34, 0x8a736d18, 0xf02fb3be, 0xe31fc3b3,
+    0x710362e3, 0x27dfd5b7, 0x7794840f, 0xf11be187, 0x92de5bc1, 0x3cb531dc, 0x013816d6, 0x025bd492,
+    0x1bd1e38e, 0x6c2f8c69, 0x8ca79ac9, 0x1e6846e2, 0xd69b6ace, 0xaa48641f, 0x86e1982a, 0xb88565bd,
+    0x28d942c0, 0xac097924, 0xd17c0572, 0xb5598792, 0xe83bce17, 0x4c75aea1, 0xb154e3d1, 0x1bce5410,
+    0xd41f46f5, 0x93ab9c8c, 0xef6b33ac, 0x39f1d4dd, 0x41b3c1a7, 0x85a95fed, 0xc0a89f89, 0x1fc0d406,
+    0xbd14fa5d, 0x2d3a96ea, 0xb85c1e4f, 0xfce73dad, 0x047d6db2, 0xa316571f, 0x74e7796b, 0x9cf3d5d3,
+    0x36641246, 0x49cf53f5, 0x7ecf6764, 0xfdf37f85, 0x51abe35c, 0xad0b1260, 0xc0d40be5, 0x81567043,
+    0x460dd84a, 0xd8d407b5, 0x24891621, 0x9885864d, 0x185296d8, 0x1e7bec27, 0x395503ce, 0xf17588d9,
+    0x630648c5, 0xb4ed4450, 0xfbfc0f61, 0xd75e1837, 0x2071e8f3, 0x417c0fab, 0xab5cb4f7, 0x4d387478,
+    0x2cbb578a, 0x1c74c713, 0xb8bdaf4c, 0xa7ff2d39, 0x9e2bc24e, 0x04c61d59, 0x736eb37e, 0x2cd837f0,
+    0xb5e15d92, 0x585a533d, 0x2c31bad8, 0xed7bd134, 0xd7a97422, 0x70902764, 0x6dddbace, 0x730ef0a5,
+    0xc456c0b8, 0x4395729b, 0x1a1ed542, 0x74d5ddef, 0xda6f26ed, 0xf0492409, 0x96696b84, 0x6dd8c37a,
+    0x7bd48207, 0xabbaaf1f, 0xed9162fc, 0x79682aa5, 0x877fe54d, 0xd3523504, 0xbdb575c3, 0x6370e57e,
+    0x08a424ff, 0x78e78df2, 0x913fd6c3, 0xf26108eb, 0x86b565c3, 0x725f4615, 0x465a8efd, 0x4823dd5e,
+    0x128e5277, 0xcd5aafe5, 0x21a19511, 0x5695238d, 0xe29918b6, 0x9de6ad27, 0x2bb58db7, 0x34128e12,
+    0xec657a96, 0xec71729e, 0x160cbcc8, 0x8cf0758f, 0x358a3ee5, 0x961b21dc, 0x0fd47297, 0xbcfd3a25,
+    0x11af3aab, 0xe01c05ef, 0x06f4fb6b, 0x0268e745, 0x65f94e5e, 0x87e174cb, 0xc50d2393, 0x7bf58827,
+    0x92ab14fb, 0xc5bcc29b, 0xce354c91, 0xd7ae58ad, 0xa2c9c942, 0x6fb2585c, 0x36e205f9, 0xeabd32ed,
+    0xcabbf57c, 0x4af5bb93, 0xda2598ea, 0xf5bd3a51, 0x04f9e0c2, 0x438b6a88, 0xe07da6de, 0x191ac376,
+    0xfdfd59ca, 0xc6a98a54, 0xb4e93da8, 0x1060a7b4, 0xc1c2152f, 0xf4d51812, 0x2bd6f7d9, 0x54d67275,
+    0xd27da2d0, 0x762f8ab0, 0x2707c9f8, 0x845e0cd2, 0xf5af60f7, 0x276c4b4e, 0xb04d1848, 0xaae31a55,
+    0xcdd120ac, 0xa7cbdd4d, 0x43a2eb0c, 0x29d3196d, 0xc82ae091, 0x2071de4f, 0x39946546, 0xe22f2d00,
+    0x6c41c70f, 0xa3a09ace, 0x9c4569af, 0xc994a3df, 0x00b13990, 0x478fb042, 0x1d52b000, 0x336a30fb,
+    0x7589299e, 0xf57dc62a, 0xb7cc0427, 0x11ad0cda, 0xad533c4d, 0x1c90fb7c, 0xfb4a5eb5, 0xe0e978ba,
+    0xe61bcbeb, 0x8dd199ed, 0x4b744eef, 0xe82065b0, 0xf2e666a4, 0x0d7f3a07, 0xd729290e, 0x49a3d734,
+    0xd916eec1, 0xb230f6db, 0x0b05c876, 0x903c7d29, 0x656649eb, 0x6a2ccc58, 0x8da75a19, 0x904289a7,
+    0x644b69fd, 0x07d8d7af, 0xd7d81cef, 0x9adf24ab, 0x1c308b67, 0x43119721, 0x0c17c0a0, 0x2513db80,
+    0xc851d42f, 0x0daa3372, 0x203fa67a, 0x5b54db6e, 0x88664472, 0x0d78f3c0, 0x1e18ee78, 0xb4b4957f,
+    0x1cb4aab3, 0x3c5d1d5e, 0x68411143, 0xa5a92e7f, 0xc02dd34e, 0x6be6cb4e, 0x5314c313, 0x0107f476,
+    0xa6668f95, 0x2936722d, 0x13a69a3d, 0x25f085ae, 0x1a75d032, 0x0b3f116f, 0xb41cf409, 0x17d4ab81,
+    0x91202e86, 0x507d59b5, 0x3e0676b0, 0x63b8eb97, 0x2f0fe107, 0x9f650909, 0xe0e4861f, 0x1341145a,
+    0x2ddd7b49, 0xabcce89f, 0x97e36082, 0xd60a2f67, 0x297a5d62, 0x30fedbd2, 0xd11a5b50, 0x628f9844,
+    0x75abe0eb, 0xecfb5de3, 0x8090f954, 0xe520d35d, 0x733d13e2, 0xc84af66f, 0x9283aa68, 0x88e594e0,
+    0x6d03a3e7, 0x99e68b8e, 0x0ca89600, 0xc1bda69c, 0x2c582724, 0xe5c78bae, 0x048d120d, 0x78ede1af,
+    0x477783c2, 0x4c469e84, 0x4a19982b, 0x4b91b202, 0x225cd1f8, 0x07046a14, 0x24a5dd68, 0x69d39cb5,
+    0x0f99e564, 0x0e7494fb, 0xdebc78f5, 0x568ee826, 0x34ee6398, 0x72d83a6b, 0x0fac3907, 0x5be3770f,
+    0x1a8f98f6, 0x98b2a8f1, 0xf4e02b60, 0x0d844652, 0xf0c41de4, 0x2835c771, 0x9d05b78c, 0x5cf7dda9,
+    0x2c619447, 0xcd7c5cfb, 0x1ca4a30a, 0xb9d258a4, 0x0c32abd6, 0x6903dbde, 0x7e97c010, 0xc2dffe91,
+    0x0155cc7c, 0x96e922f2, 0xd55bf4cf, 0x406e44b6, 0x90d12274, 0x26fcab5c, 0xe4a3a09e, 0xd39c183a,
+    0xc6ee3679, 0x0b279e53, 0x53658583, 0x7c8779a0, 0xfd8bd7bc, 0x6cbc2cac, 0x1cb6dcaa, 0xbabe9f1e,
+    0x0c3019d0, 0xcd243a62, 0xab46bbae, 0xd313f61f, 0x07c25eb4, 0x059f7c02, 0xa7cc91b8, 0xe58b94f8,
+    0x2d70b304, 0xb5d4c685, 0x9f52d8ed, 0x011e34a2, 0x80e65c34, 0xd05ad125, 0x5131f2bd, 0x80277e3c,
+    0x43b03264, 0xe078fcc0, 0x5ccdc1bf, 0xac26e036, 0x242503d2, 0x30910455, 0xb928dcbe, 0xf141c1ae,
+    0x469a55be, 0x8248427a, 0xfaeba733, 0x2fb5eae6, 0x16fb72fe, 0xb7b9f562, 0x7960d19b, 0x8808bf78,
+    0x29221a49, 0xb3227788, 0x8547dc63, 0x10f7d568, 0x93d29616, 0x3a1d48be, 0x9717a5bb, 0x252dafa1,
+    0x72f047ac, 0x172d0c6c, 0xffb8fb4a, 0x23eacedf, 0x3e4065fd, 0x979243e8, 0x2f88421f, 0x157face2,
+    0x0c79fc8f, 0xf3fcd192, 0xa9561a71, 0xf0b36d2f, 0x4a769f04, 0x8a229edf, 0x27db3abb, 0x4c93433a,
+    0x7c12dc4d, 0xc1fe64c0, 0xe11dbac6, 0xa79282ba, 0x2e672974, 0x14438d93, 0xf283a000, 0x653e21ac,
+    0x7fa3bbbc, 0x1bea370c, 0x1a2ea4a8, 0x42006055, 0x210f1f89, 0x0cc873a1, 0x5c29ba08, 0x98671afe,
+    0x837ad85a, 0x8bda67dd, 0x5f4c1bb0, 0xc06b10c3, 0xf5ca864b, 0x923d240c, 0xd4e42790, 0x53bd8d2b,
+    0x54f8f172, 0x1646aa00, 0xf1371e22, 0x44c685eb, 0xe5d4d466, 0x0f1941d3, 0x92977e93, 0xbd20a491,
+    0x3f51685d, 0x805eedcf, 0x9ec26b6c, 0xe3d40a84, 0x117742a1, 0x3f6dc623, 0xb99ba0dc, 0xe858934d,
+    0x83bf7016, 0x955e8f38, 0xf7869dc3, 0xaa98b568, 0xa504c156, 0xf3c15084, 0x6eac47d4, 0x466f094a,
+    0xe9bdcf41, 0x9a40e72b, 0x5cf0e96a, 0x3cfb9774, 0xae3c09fc, 0xf0c72a57, 0x9d8f7880, 0x5bd450f7,
+    0x38ad9b89, 0xeaa638a6, 0x770bb4fb, 0x4cca05b2, 0xcce3a8f6, 0x8aec27ad, 0xd0377102, 0xca184b85,
+    0x170449a6, 0xfc16c402, 0xa56717fa, 0xacd0b771, 0xff8c6080, 0xa51dd16d, 0x61f3be9d, 0x1e59f103,
+    0xe7acc142, 0x95539d6e, 0xe74005c5, 0x68c81962, 0xaabac68b, 0xc93fb453, 0xa8bc61e9, 0xdd9ad59d,
+    0xd7c845fc, 0x4189635f, 0x9b665e9e, 0x7d17b679, 0x1718deea, 0x02faae0c, 0xa4bf44b6, 0x02e805a6,
+    0x2e2cc174, 0x8585c2bb, 0x1e4d630b, 0x1f2021ec, 0x029778bc, 0xee514d62, 0xc609ee65, 0x1f1b40ca,
+    0x432dbd7f, 0x34399c24, 0x43d8ff3c, 0x7cc4f1b4, 0x9edae684, 0xb5c11d74, 0xc158c28a, 0x215eab66,
+    0xadd062c7, 0xd047f7d4, 0x79a1fde9, 0x33511f77, 0x523ca4c6, 0x8558628e, 0xa6de0240, 0x65c046e0,
+    0x7003c70e, 0xce71fa2c, 0xc9fcd990, 0xab1fa85a, 0x3b79f919, 0x5f6dc0c1, 0xd9e43119, 0xabd25c72,
+    0xdefc1ea9, 0x30cd64f5, 0x7684d034, 0x27472b5d, 0xcb592cc4, 0x7cbd8750, 0xe80bf9fa, 0x014db2e1,
+    0x2aedb2e1, 0x471cd9e1, 0xd941fff8, 0x0274b635, 0xb54f7a13, 0x200838d0, 0x1f07cb2b, 0x8fb8db43,
+    0x5842dc4c, 0xfba3ec10, 0x187041ab, 0x9de2427f, 0x16d2353f, 0xbac76c39, 0x6d59d469, 0xe7526567,
+    0x0a4ed206, 0xfb221254, 0xfd125bd5, 0x7484faa1, 0xba428d1f, 0x6a2039f5, 0xffab4cc3, 0x1bdc12d6,
+    0xd5983b2c, 0xb02e7d6d, 0xb9905e0a, 0xc5de6504, 0xdeea1fef, 0x42643c46, 0x554c8674, 0x30be19bd,
+    0x55b845e2, 0xd5c6f2c0, 0x6e2f191b, 0x83c494b2, 0x372fc396, 0xe755ea00, 0x5d0621d9, 0xfc2460d5,
+    0x00027c49, 0x2a69ab04, 0x4b374fa5, 0xd9b38710, 0x03e2873c, 0x44f4a79a, 0x8d25e774, 0x756f6e9b,
+    0xaf1ab004, 0x7d864ca6, 0xf4760ebb, 0xd225d9db, 0xc8b1564e, 0xd5a1e11b, 0xd8f4cb65, 0xaf2a00f6,
+    0x40b8b10d, 0x55c4229d, 0xc72f42b3, 0x0864d45f, 0x568b6edb, 0xac4c3782, 0xbd510a3f, 0x10ce0dab,
+    0x2c98e481, 0xb8c46b07, 0xda68cd8d, 0xba06f2d2, 0x6bf4bcec, 0x334985f9, 0xa9e3e97b, 0x5626d026,
+    0x5a0aebd0, 0x3d4f9cc9, 0x6d4d1a29, 0x6104affb, 0x0ca3c61c, 0xebea5386, 0x7c60457c, 0x10e5696a,
+    0x8294a3a5, 0xe471c01b, 0x749442e7, 0xfd4d237b, 0x2c660824, 0x31c38e6a, 0x2281b359, 0xc5a9a4a2,
+    0x534f49e6, 0xdc25e8f8, 0x7e7e8d43, 0x7afbb82d, 0x1934a439, 0xf259f159, 0xc711e044, 0x16df09db,
+    0xa84c2a69, 0x025ad320, 0x01d2b9cd, 0x033f48b2, 0x5c205284, 0x2159e974, 0x55d7d9de, 0x320a70fb,
+    0x8347a36f, 0x5ac32f8a, 0x98d462c8, 0x18b17e29, 0x837e3335, 0x64c748a7, 0xc17287c8, 0xb346a5b6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000001645504557321206042154969182557350504982735865633579863348609024 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4262, 0x958b7249,
+    0x00000000,
+    0xc344a328, 0x4a269f75, 0x65800b36, 0x7fd82069, 0x8f7c4ee9, 0x2dcb23e9, 0x3af23df3, 0xdce74842,
+    0x6e1319d3, 0x30364258, 0x3d613ed7, 0x3f11c545, 0xcee2b279, 0x23b798e5, 0x5a5a7a18, 0x053a7915,
+    0x80c946cb, 0x650e112d, 0x54482f93, 0x45fe538f, 0x82f9192a, 0x0274d956, 0x7362ea31, 0x1ba621aa,
+    0x98643b6a, 0xd7f9456d, 0x58cc4b62, 0x6ad963c7, 0xfa92fcf0, 0xf57381a0, 0x0a44af42, 0xfdfe1962,
+    0x85dbe998, 0x85c2ab4c, 0xe0752e59, 0x3175308a, 0x0c1d81fd, 0x6198b0aa, 0x451aec0e, 0x5b032aff,
+    0x7bfa9fd3, 0xb2aa9670, 0x3d952c12, 0x69509b6e, 0xcb470026, 0x92ed3093, 0x757b1534, 0x25152ab9,
+    0x35878001, 0x4f7495f1, 0xf3c61294, 0x3cd3b8b6, 0x1e115703, 0x66aec79b, 0x72e94783, 0x78d6c595,
+    0x308373e3, 0x9741a20e, 0xc28d7f6d, 0x229d183a, 0xb8e1559c, 0x8803ca8e, 0x90165dd2, 0xbe5480bc,
+    0x9ee7bd87, 0x25c88e3f, 0x46eb1963, 0x6267a632, 0x3a7de2c2, 0x9ed693d0, 0x3379f77a, 0xbab4bbf4,
+    0x6736ce71, 0x1270942a, 0x9a0ede84, 0x7c9c8df1, 0x617035bc, 0x0f1a97bd, 0x78fa64d6, 0x58dd4435,
+    0xeee52852, 0xf07ef2b5, 0x620d4954, 0x5b6e0994, 0xa908fdcb, 0x222e5c8c, 0xf567ff57, 0xb3de80ea,
+    0x0f25fb4f, 0x6509a34d, 0xddb6affd, 0x4f448d19, 0x183f6cf1, 0x2d8293fd, 0x3ee058cd, 0x25680102,
+    0xc83bfe1b, 0x08e6b2c6, 0x7e8d0b19, 0x5a9e2cd3, 0x4eac86fa, 0xb402b7a7, 0x2552062d, 0x1d984161,
+    0x11810648, 0xf6ac45c4, 0xa21dc1f0, 0x7f7f439e, 0x32f07c7f, 0xc162e1be, 0x79e860ed, 0x0e13c08a,
+    0x19751963, 0x3710e6ee, 0x7f768c5d, 0xd70a8421, 0x25cebb1a, 0x3f1c0b7b, 0x85f157f7, 0x5058247f,
+    0xadf8cd04, 0xb0740aa2, 0xd7913cde, 0x50eb2fa4, 0xbc230220, 0xf2188cf3, 0xa14daefe, 0xac1fa728,
+    0x459ed124, 0xf74215ca, 0xcba55c0e, 0xfca7505b, 0xb9590f6f, 0xc625130d, 0x0e56b44c, 0x4adb1455,
+    0x6c308e8e, 0xc2b367a8, 0xe7c63fa1, 0xa6b778cc, 0x790703c7, 0x40be9c2d, 0x87b30485, 0xdc802a3a,
+    0x740dc6a5, 0x2471aaed, 0xcfb7ca5c, 0xeffdec2b, 0xda2eaa1b, 0xc9dbb9a1, 0xec1d02d7, 0xa4f113fe,
+    0x110083db, 0x1d7ff7f3, 0xdfc02918, 0x98a7a1ed, 0x2c887753, 0x1a87fcb2, 0x79262414, 0xe88ee032,
+    0x1cd266c4, 0x7d21bce6, 0x78c0ffdf, 0x34cb796b, 0xdde44850, 0x800f4525, 0x7918fe55, 0x07424bc9,
+    0xaf65d130, 0x74abd6a2, 0x3b840173, 0x935c6de4, 0x00da8b87, 0x54057de4, 0x18dc62a9, 0x81c5694a,
+    0xe81837f0, 0xdcbf5945, 0xd6be0560, 0x4e91b3dd, 0x22dfb20c, 0x1abe710f, 0xcc511975, 0x3d0888ad,
+    0xd1ffefc8, 0x8bdc8d92, 0x92a9378f, 0x7e97efea, 0x326cd60b, 0xc4eabd5b, 0x1e5e5858, 0x76e60a10,
+    0x3a4dfd47, 0xe5c58c5d, 0x67f6bab8, 0x92441836, 0x12adfc6e, 0x68ff8800, 0x9f238d34, 0xaa9bc65b,
+    0x99670020, 0x457664a9, 0xa21ce490, 0x730139bb, 0xed2a265e, 0xdf613b0c, 0x6d733780, 0x3656ebb0,
+    0xa873a660, 0xac9e8e84, 0x969eff4a, 0x55193f5e, 0x1aa28927, 0xf3c90542, 0x83565fe2, 0x4b5a75cd,
+    0x8cc14ffb, 0xa4917803, 0x44e67fc8, 0x26553fa7, 0x49195b21, 0xf0b4d34c, 0x7ff4242c, 0xb8310909,
+    0x60c13b8c, 0xaed8398b, 0x9c8aa3f5, 0xe8baa919, 0x6b27e398, 0x7e1811e2, 0x2ef0b51e, 0x8a60c971,
+    0xe71ec10b, 0x92f2bd78, 0x228b3256, 0x08d83b6a, 0xa104299c, 0xb7fbd77d, 0x2a360931, 0xab61b774,
+    0x886f8a4c, 0x886ba392, 0x44b655cb, 0xcd5b1d32, 0xa7e0e7a6, 0x0da3dd61, 0x48cf9a8e, 0xbf6fc323,
+    0x02be609c, 0x425a86b1, 0x293d1798, 0x9fca6624, 0x433f38c0, 0x619417ae, 0x40d79675, 0x2dfb6aa1,
+    0x6172c9cf, 0xe83a1ddd, 0x40216668, 0x199f6774, 0x1808233a, 0xbf593cbe, 0x03a9f8f7, 0xcc21c1d0,
+    0x29cf527d, 0x3d052841, 0xd695f8de, 0x9833c13d, 0x28b9677f, 0x3c288a59, 0x806e59d9, 0x6b97c392,
+    0x5ad98229, 0x3ac7c3ea, 0xe0a1b284, 0x2f92709b, 0x31c78b92, 0xf9751587, 0xc2d5b52c, 0x014f2ee3,
+    0xdf5b28c0, 0xd8211ef8, 0x186810de, 0xe8b5babe, 0x91d34a10, 0x733bc38a, 0xd87e78c4, 0x0e25e103,
+    0x43cf0df9, 0x83fd2760, 0xd975a5ba, 0xaead3a47, 0x05fd89e5, 0x283bdcb3, 0x5e1ebc50, 0x3d90913f,
+    0x5b4c22d6, 0xc56501fb, 0x4c54056c, 0xbd02b4ed, 0xd9e35ecd, 0xc940a42e, 0x6c1a663c, 0xa21e4e40,
+    0xa2a4ac16, 0x5efcfbe4, 0xd2f38ebf, 0x284a7a33, 0x5c8d8b1d, 0x9a29705e, 0x820bf678, 0x98d31944,
+    0x3f84d7a5, 0xc5be218b, 0xcc98c224, 0xc0a059e8, 0xd6aeaab5, 0xd5a184ea, 0x47f65a04, 0x68bbbf3a,
+    0x55f834ca, 0x110da395, 0xf1e301a8, 0xc320f6a0, 0x20f3b473, 0xb2fa9371, 0xeaa0bae6, 0xbb7ea1de,
+    0x35b38495, 0x62348416, 0x8925893a, 0x78d81d31, 0x6c3f9c0c, 0x757b507a, 0xf0239010, 0x9d7a160a,
+    0x3b6bcefe, 0x89f87391, 0xed326f66, 0x79897d93, 0x60017ff7, 0xff366372, 0x60600fe8, 0xf74bb55c,
+    0x6e489f51, 0x66583536, 0x1b1cd0f8, 0xa723ba83, 0x7fa69d8a, 0x13115bc0, 0x5a5b8842, 0xde3ad690,
+    0x359ad2cf, 0xf5595a64, 0x5bc47d46, 0xaa1591c4, 0x121fc34d, 0xee156968, 0x8c9fbf3d, 0x61016165,
+    0x11e51881, 0x499213a6, 0x5ca81dd0, 0xb8a6b852, 0x6719b919, 0xf2f74d0a, 0x219f74f2, 0xb4321e3e,
+    0xfbf86153, 0x38c5a923, 0xd55d4b0c, 0xc8eafb1c, 0x7e56d5ee, 0x9b49d931, 0x031a7c24, 0x54c77404,
+    0xe58ebaad, 0xad23ca6d, 0x00fefb11, 0xcc6da2f7, 0x051236c6, 0x0973581b, 0x53cc9db5, 0x9a0b8b81,
+    0x8ddf98b8, 0x5f35b14b, 0xcb23882d, 0x166b8790, 0xc755a297, 0xec7ca2b2, 0xee981fbc, 0x4e4bf665,
+    0x8a43dfc3, 0xb3b8907b, 0xf613e0f1, 0x97d84725, 0x6a36e4e9, 0x8f79b0ef, 0x465fc980, 0xcb33aff6,
+    0x82301e74, 0x9e95fe57, 0xf7c3b4d0, 0x936d290b, 0x89e47cdd, 0xc168886a, 0x8594066a, 0xc958e96e,
+    0xdba6dd0b, 0x0d970d72, 0xc07e85b6, 0xbc2500ef, 0xa255d293, 0x3489026b, 0x801daf9a, 0xc3a9663c,
+    0xa8a3b922, 0xd64262ba, 0xbef96d02, 0x855b78e6, 0x88ddf00b, 0x34a46707, 0x9de68e6d, 0xddad749c,
+    0xc09e663a, 0x8bf43903, 0xf19d1ef7, 0x22c36aea, 0xe6f575d3, 0x8de34f25, 0xfbf4ddb0, 0x5ba422f7,
+    0x17151f74, 0xcb277d17, 0x3b44c52e, 0x51ca1e6f, 0xcdb14cd8, 0xb7bcecad, 0x2bee7b64, 0x4d007ba9,
+    0x362a7d78, 0xaf15356d, 0xa315212a, 0x699c4a7c, 0xc3589656, 0x1e944915, 0xbd03fe5b, 0x814dc3d8,
+    0xff0311a4, 0xba470645, 0x14aa282f, 0xd0face06, 0x7958a78c, 0x685302e4, 0x9e617e5b, 0x6243685f,
+    0x38721547, 0xeca25d3a, 0x1dfe6c27, 0xb16901fa, 0xf92ca45d, 0x956549e3, 0xf0e972f7, 0x66da7b1e,
+    0xcad35f7b, 0x0a1e0a62, 0xf10abdaf, 0xa0bd40dc, 0xab2576ff, 0x569cfa47, 0x5a819bf0, 0xe5e8a6c5,
+    0xdac00492, 0xa18d9a4a, 0x6e57e4af, 0x70a6c300, 0x8974739c, 0x31412bc5, 0x6079bbd5, 0x86c088dd,
+    0x58fc882f, 0x60cb5ba8, 0x3417ef99, 0xc98ff090, 0xeff3c3f8, 0xeabed469, 0x0cc0ca4a, 0x164c41f8,
+    0x3b43eb02, 0xcbba76d4, 0xd05f8fc3, 0x6fef6664, 0x840d4686, 0x384f17a3, 0x1ec19afe, 0x508b826a,
+    0x72044f54, 0xdc1734af, 0x90d4daa6, 0x58e7972c, 0x3b75172a, 0x456caddd, 0x6b0fcd40, 0xaf73b227,
+    0x537ba428, 0x949f64af, 0x3b09ecf1, 0x396bd4fe, 0x5a6a742d, 0xa348f7da, 0x8d489db5, 0x39613a10,
+    0x396f5df7, 0xe724a1cc, 0x5d7ea8c9, 0xa8b06994, 0x57542266, 0xf8748a3b, 0x6a669c44, 0x6032c043,
+    0x8369c4a7, 0x4d4ea739, 0x6f631b83, 0x45151707, 0xbab2b4db, 0x70e632cf, 0x15a778f4, 0xb038db3e,
+    0x0b385e0b, 0x6091bd10, 0x898a7165, 0xbb84a537, 0xde84c58a, 0x161f6230, 0x0ef82934, 0xdd2262e0,
+    0x39ac50b4, 0x907ef146, 0x8ae382b8, 0xd675a025, 0xb767d798, 0x77d4090c, 0x23c35ab1, 0xd379f96f,
+    0xa216db07, 0x43429d7f, 0xfda56f06, 0xe1c1e5d4, 0xfe44c440, 0x417c4aa3, 0x22934b58, 0xb213dc78,
+    0x519a1bdb, 0x3c4906d7, 0xd7fb726c, 0x8223871a, 0xc3b91a6a, 0xef844095, 0x67ad0758, 0x48284902,
+    0xecd7484b, 0xbb212f6f, 0xd6bd984f, 0x3c84cbb9, 0xacbb1c7a, 0x11d5bd81, 0xb3c46f3d, 0x680d096e,
+    0xcab4ceaa, 0xfc0fc599, 0x26582843, 0x301d05b8, 0x68556a47, 0xdd54bf33, 0x49b79973, 0x46d89307,
+    0x8ec11a70, 0xb9aecc09, 0x9f3d13f9, 0x292e5694, 0x8652dd8b, 0xe946d197, 0xbc1d8bd5, 0x075c0dfc,
+    0x41c59729, 0x06b4cf38, 0x33819c66, 0x8ac80df5, 0x400003a4, 0xbf825d9e, 0x0e13b5ee, 0x82b78273,
+    0xfa85ea75, 0xb9c0747e, 0x8e23f583, 0x07a723b8, 0x02ab962f, 0x113abf90, 0xe6d42f81, 0x2d7a4273,
+    0xcc00cd06, 0x5b4de2c4, 0x8d074fd5, 0xa96588ad, 0xf402d965, 0x6f5f43b1, 0x02c3474e, 0xa0fb4181,
+    0x08993670, 0x0740b65b, 0x8645596a, 0xfd158f68, 0x3a224efe, 0xffd323a9, 0x859cb1d2, 0xc72f00ee,
+    0x36db186d, 0xa9a93138, 0xfff1e770, 0xd94c8227, 0x933f8d60, 0x6d160c6b, 0x5fdfc979, 0xa1ec184e,
+    0xabd352a3, 0x1ee1ae96, 0x3a63f2d0, 0x1b6f1707, 0xe2322df4, 0x4d2a8359, 0xff6eec09, 0xf6b58def,
+    0x2497ff2c, 0x68e5af66, 0xf88f79a7, 0xda450e76, 0x9c82c5cb, 0xca6fa8d8, 0x18ddf222, 0x67e75000,
+    0x8023ab27, 0x4460712c, 0x8c8e5fca, 0xc149a903, 0x6e062b01, 0xfb1dfce8, 0xd28ccaf7, 0x5f9cd8b3,
+    0x1672903a, 0x1bc81df7, 0xb62cb61a, 0x50058027, 0x6956d20d, 0x7d22dfac, 0x0f2802fe, 0x646be586,
+    0xe07f3695, 0xf4a325d6, 0x54e64dc6, 0xe01fec4f, 0x3e4ffa33, 0x8532f289, 0x06bcef30, 0x01a46981,
+    0x513b6c80, 0xb9e7bb76, 0x678b039e, 0x3078239b, 0x9fa42021, 0x827d5665, 0x231bb0b5, 0xa0a80177,
+    0x3e2a165f, 0x04dfb228, 0x977f31c6, 0x190fcba2, 0x54d163a4, 0xf732ae7f, 0x283e4d80, 0xaeed7608,
+    0x8bd9b1d5, 0x195b3a92, 0xc8d0366b, 0x41e7b9c2, 0xbe432189, 0x5c9bcce2, 0xbe259e08, 0x32cee6e8,
+    0x72ceead3, 0x0b21117e, 0x4fe4aece, 0xbd30e40e, 0x408c91ae, 0x2f2a4516, 0xfba8ce43, 0xdbda7b6f,
+    0xef71f2aa, 0xee505a81, 0xb7fa2c95, 0xa435abc5, 0x89f8dd82, 0x03d3daa1, 0x189d238a, 0x09568c41,
+    0x08405981, 0x7202868e, 0x4864d0b1, 0x80b240a9, 0xdcc2e0aa, 0xb8da5b9b, 0x3636f6fe, 0xfa6afeeb,
+    0x7282b43d, 0xb0670b48, 0x57eed584, 0x38a97970, 0x212fba83, 0xcca83231, 0x1d20caaf, 0x52bf385a,
+    0x7a233de5, 0xa3925e5e, 0x35004a01, 0xb0170c46, 0xb081978a, 0x455a6dfb, 0xe1583fb7, 0xc1b7708a,
+    0x0b69aa4f, 0x9495ff3e, 0xfa3e669a, 0x84a46022, 0xfa72fe8b, 0x3ae28017, 0xf37da295, 0xddff8a13,
+    0xa6d5d2d2, 0xce04f345, 0x7318e40a, 0x3ec9aea6, 0x5c7e614e, 0x1428d917, 0xe73d1c28, 0x86909009,
+    0x0194c821, 0x806b4244, 0xd7f70130, 0x02922393, 0x5172d2c0, 0x516590a1, 0x798c09a7, 0x63d4c62c,
+    0x3ee6c7f3, 0xe7be53e1, 0x88da167e, 0xde3da123, 0xe2b6091b, 0x390d6c93, 0x24c9e7c0, 0x00a90f1f,
+    0x85b02651, 0xa19d6835, 0x6c2f57f2, 0xc28eac13, 0xd1f669e3, 0xadc7a133, 0x3dc8f595, 0xb7e15b83,
+    0xa2c6cc36, 0xe2de25dd, 0xbd96c42c, 0x4bda149e, 0xbcffc38c, 0xc393cda3, 0x85e2b717, 0x91940664,
+    0x2e65cb5d, 0x77a14592, 0xc0e39b97, 0x3374c9c3, 0x2c5966e8, 0xa6881493, 0xa745fc59, 0x631c6980,
+    0x0bc2a86e, 0xd22d0899, 0x16108e8a, 0x8b6dd5c9, 0x33487e43, 0xf6af793b, 0x31870137, 0x4f65e1b0,
+    0xad089a94, 0x2342bb55, 0x0fa32095, 0x3d786de5, 0x02387c3d, 0x5c4aa194, 0x296fb80d, 0x007e7d6a,
+    0xd199108a, 0x7a08c07c, 0x51e78261, 0x2fbe7107, 0xf5b8b0f9, 0xba094d37, 0xe92fb69e, 0x43a58b77,
+    0xebad6de3, 0x302675b8, 0x2f3e42fe, 0x4ba07c52, 0x8de5c40d, 0x3592486e, 0xc8f8ea0f, 0x0b0d2199,
+    0x7db9d5a1, 0x3048bb38, 0x932a7108, 0xeae8cac9, 0x5660232d, 0xa6826608, 0xf11f1bf8, 0x285ed6e7,
+    0x6a8204a0, 0x40cd83ff, 0xf0edf98b, 0x7b4a1f08, 0x4f54e8aa, 0x1e30bc06, 0x09d01aa7, 0x6322dd65,
+    0xdb633562, 0xca40eae2, 0x9fbd1ac3, 0xa7fbbf2f, 0xfba4d3ff, 0xaa6dd9a9, 0xc73c0e9e, 0x0a82cf5d,
+    0xc9e1e070, 0xed00d947, 0x95d2c137, 0x5868d89e, 0x846fc940, 0x66b308df, 0x32f00557, 0xbefad933,
+    0x06faf420, 0x22ff2c45, 0x8eb9cd38, 0xaaf369eb, 0xf617a196, 0x421052cb, 0x14caec9f, 0xe48ad5d3,
+    0xdcbe5525, 0x6b5222ef, 0xa19811d2, 0xe498d1c0, 0x5087175e, 0x36bac3db, 0x0b845aab, 0x096052ad,
+    0xeac5df59, 0xd217571b, 0x206f8088, 0xdbdf0a87, 0x1637ef86, 0xf2707e3c, 0x61d0efb9, 0xda7030b7,
+    0xf3356f15, 0xd38147c7, 0x33bf81d6, 0x32092228, 0xd86f3f55, 0x9be47e98, 0xf6301052, 0x3345c5b3,
+    0x0d2b8cae, 0xa30c4770, 0xd366b46f, 0xc0789e47, 0x1cc8b758, 0x96eb07b0, 0x00f73d13, 0xb50d3b6a,
+    0x85926bfa, 0xc74f4b87, 0x53d25514, 0x78a164dd, 0x9b7ccfea, 0x8f0055c4, 0x67a714be, 0xe54156eb,
+    0x57bc6f05, 0x360ccd72, 0xe7bb9d4f, 0x99f55a90, 0x74d330df, 0x86c83b76, 0x2cc65b01, 0x29c052ed,
+    0x644fb15e, 0xd666c6f7, 0xd9f1d8b6, 0x337b0ef9, 0x2f501a09, 0x80e1c1a2, 0xe1d51ee0, 0x133096dd,
+    0x4668d1f3, 0x439b8b99, 0xe6058637, 0x878dc746, 0x9fcd987d, 0x2c60b46a, 0x4427d060, 0x56f86506,
+    0x9ff04457, 0x26cad4ff, 0xe1a1ca01, 0x2c5a78db, 0x8c7376a0, 0xc3618225, 0xb3f54583, 0x5d51078b,
+    0x6f3da03f, 0xf28e23c7, 0x0ce1eaa4, 0xde917780, 0xca01ca18, 0x1a322ef7, 0xc0bb4b16, 0x30d7eb94,
+    0x6b522841, 0x542c599e, 0x9a5c8ecc, 0x655c1322, 0x51498e5f, 0xe92daf2b, 0x5f94162f, 0xc4f2482a,
+    0x2d54bcad, 0x8a6e5160, 0xee81dc08, 0x999b0e99, 0x945b7e91, 0x50d6f95e, 0xdf7d7e17, 0xf172889e,
+    0x4d94e8ad, 0x2db5668d, 0xe1950325, 0xe6ec8f60, 0x4090d97d, 0x5fe72d44, 0x5ebe4b79, 0x9a522505,
+    0x3ec61491, 0x78ebb618, 0x0d9b020d, 0x872105a7, 0x82939a72, 0x524429ab, 0xc30b42a7, 0xddcb19b4,
+    0x72a826dc, 0x44f81a51, 0x027cfaa6, 0x4a1ad36b, 0x81e4b89c, 0x3ae62d79, 0x2171321b, 0x42d0b3db,
+    0xae946155, 0xe49a3ad0, 0x52242e39, 0x6fa81df1, 0x6025c70a, 0x1a741edf, 0xc46231ac, 0x292dc4b4,
+    0x21dc780e, 0x23416412, 0xcfc69b4c, 0x58118cf6, 0xddce2bb7, 0xd8de2b04, 0x78e33654, 0x44c3f6a6,
+    0x7eba3573, 0x51469d92, 0x53e721b1, 0xcda9baa7, 0xe8ed048d, 0x677fa386, 0xe617c418, 0xb3794750,
+    0x88c36530, 0x2333895d, 0x31788b21, 0x140adfc8, 0xa2136f8e, 0xb1ddeeef, 0xb000bc65, 0x5276a0ed,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000822752278660603021077484591278675252491367932816789931674304512 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072131, 0x4ac5b924,
+    0x00000000,
+    0x9e188df4, 0x06f8f069, 0x673bac18, 0xfc03bd44, 0x65eda912, 0x07483d00, 0x71e4784e, 0xeaa65ed3,
+    0x2c050b5d, 0x3a33263c, 0x92b6ad97, 0x71d3587c, 0x7707d6a2, 0x81dbf5c8, 0x6fd2ee26, 0xcc912f47,
+    0x0eef8ca0, 0x0cf8402b, 0x5cdba01d, 0x78d55eab, 0xd8e3fd2e, 0x140878c1, 0x98f03541, 0xae553704,
+    0x4279ca63, 0x5c1898ac, 0x1a94c6e7, 0xf8946e0b, 0x8b60113f, 0x585b8371, 0x212cf847, 0x10e5ad7b,
+    0x5620a250, 0x5e42a8a6, 0x3b9808d9, 0x662c046d, 0x78a3d11d, 0x92f6f9d9, 0xb2d288e1, 0x88b962be,
+    0xde6c5ffd, 0x5b100c90, 0x8aef2bd9, 0x2d8bed47, 0x3d5bb34d, 0x1e7a8f5a, 0x0a9f82bf, 0xe20a6405,
+    0x4c29ce20, 0x51109b05, 0xfbf9a87f, 0xccb2bf95, 0xdbe38e4e, 0x3c066996, 0x05a44b58, 0x88389946,
+    0x0352b9e0, 0x97243cdb, 0xa244cd0a, 0xcf277226, 0x4cfcf2f3, 0x6c229532, 0x5e5c0018, 0x2d2a91ed,
+    0x6f83ca70, 0xb01060ae, 0x60024d07, 0x7196dc21, 0xe62c0f8d, 0x9b7ef2ce, 0x7cf7fb0d, 0xfdb35987,
+    0xcc667e39, 0x6de20a89, 0x15e6034d, 0xd76ff81c, 0xeb7e1274, 0x1f617237, 0x63291fca, 0x2200f2c2,
+    0x02fecd5c, 0xf633f9f5, 0x20289131, 0x0dfa38ec, 0x892ddf44, 0x516caab9, 0x75568851, 0x10cb2786,
+    0x370ee7f3, 0x8a71ac57, 0xd23455dc, 0x56f0c7de, 0xc0bdd04e, 0xafef5191, 0x70b59b24, 0x99c25a87,
+    0x5832deb7, 0x82e417b2, 0x3c7e8f9c, 0x9424afe2, 0xddc61d82, 0x1eeec435, 0xe16c3f5c, 0xf22649e5,
+    0xebde753c, 0xe28ae639, 0xb750ddd6, 0xf6ef9356, 0x54cb20e4, 0x11ae8c79, 0x3c740263, 0x4a90dd06,
+    0x9b0efb95, 0x632a4822, 0x4e3e29f6, 0xcff5fb19, 0xb0649872, 0x9085fe41, 0xa49b84c5, 0xb63dc573,
+    0x97f14058, 0x65128553, 0x7c65f354, 0x14922faf, 0x39b401c7, 0x25a21d34, 0x388527ff, 0x7c284099,
+    0xb0f02b46, 0x2ab39a76, 0x40d119b4, 0x53e265ed, 0x5616c977, 0x00d03256, 0xbed4635d, 0x895f3822,
+    0xc8b68e21, 0xcfc7ef5b, 0x8138a5cc, 0x97bed578, 0xb7f081e3, 0x204421d4, 0xac2307ca, 0x78f6becb,
+    0xe1768f2b, 0xe898e4d9, 0xcd4bcb57, 0x547bf291, 0xadbbb4b0, 0x9a6492df, 0x2e0a06b8, 0xe1efa804,
+    0xf3e33cf1, 0x72c72ca2, 0xc17e569d, 0x48ca9165, 0xcf8352a0, 0x950ad83e, 0x9b376b8c, 0x05e40f31,
+    0x12180eed, 0x548149f0, 0x9ebcd539, 0xf1baca48, 0x4e93b065, 0xfd8c0ccf, 0x8f11f2e9, 0x37c19b77,
+    0x9409e11b, 0x1f587c78, 0xa4234494, 0xc09fef60, 0xd190a404, 0x084c8409, 0x59705340, 0xdcf22493,
+    0x0e2f3f86, 0xdfc097f1, 0xa99ccad8, 0x495a51b7, 0x0c4068a8, 0xeccb91cb, 0x83d17268, 0x07dfaccd,
+    0x74237e65, 0xda947dc8, 0xbddc8cf8, 0xdd2c6e63, 0x7d5ca8a7, 0x0517b574, 0x22eb0560, 0x35aa0582,
+    0x8cd2f608, 0x7a703f10, 0x5b3a2872, 0x10c9b7d8, 0xfb275d7b, 0xfdf0e348, 0x4c3e6a79, 0xbb53671e,
+    0x89412ba6, 0x7e37fd38, 0xe02fcd33, 0x696034f6, 0x9bcc373a, 0xd364a219, 0xa7c44b22, 0x036705dd,
+    0xade8629f, 0xd285cca8, 0x63eba819, 0xa23f3f7f, 0x52095122, 0xa90fd3b4, 0x4b071d21, 0xdb4fa510,
+    0xd2f60d3c, 0x05cf2165, 0xec92ab5f, 0x4d475c5d, 0xa2531692, 0x2c8efc40, 0xf6698bda, 0x4b659c40,
+    0xe7a4af3b, 0xe2637dc6, 0xa45b1603, 0x50b1b001, 0x880b3509, 0xd9b4cea4, 0x0463c222, 0x8c2df91d,
+    0x702c3709, 0xfff08775, 0x0015f504, 0xe4fa8124, 0x80210611, 0x8e5c31de, 0x323d94b0, 0xd7f9b29f,
+    0xf27ac995, 0xb002acfb, 0x6511d456, 0x0c50097e, 0x23b0449e, 0x8816b935, 0xb2c57594, 0x1ac88913,
+    0xfc146ac7, 0x341d930e, 0x5e08e28d, 0x1cc0850f, 0xe8524dfd, 0x1d9e989b, 0xbde7d084, 0x932eb14b,
+    0xb1198f81, 0x1a82f90a, 0xfae751b8, 0x2c3ca682, 0x5cdd1de1, 0xf48890d7, 0x44debbe5, 0x83ac93e0,
+    0x7f407582, 0x2d28a40a, 0x7bb93999, 0x70840e13, 0x69bd5b8e, 0xd90dbb63, 0xaf8c384b, 0x96bd20b5,
+    0x563f034d, 0x06e5d5e0, 0x1d5eb283, 0x9cc8de39, 0x22cba9b6, 0x2ba42c73, 0x70e7fd7c, 0x0dbb186b,
+    0xf1c89d35, 0x8e51ee57, 0x52d636ce, 0xf496192a, 0x48b50ecd, 0xf678dee0, 0xff55a419, 0x2e8aee5b,
+    0x096f8b08, 0xbe8152ea, 0xbe14d3aa, 0x3b347d86, 0xb799575c, 0xfeb370f8, 0xecee4620, 0x8f2f8341,
+    0x73a5cf60, 0x8e18d1c7, 0xfa2147b7, 0x813806fc, 0xe1ffd34b, 0xc6127712, 0xa6f8508f, 0xe23ac6cc,
+    0x511c5d4b, 0x66cf2b5e, 0x40fa699a, 0x8050e974, 0x7200f300, 0xd67c48ce, 0x3f86508f, 0xbff10482,
+    0x25c2ce2c, 0x37029bee, 0x38f4e85b, 0x4abf048c, 0x777167b8, 0xfd7786f8, 0xe80a6098, 0xd91d666d,
+    0xf44fbd77, 0xc356bcaa, 0xf330296b, 0xd04f398c, 0xc77aa5a8, 0xfd87d665, 0x00eaaad9, 0xe24d6044,
+    0xd16973e1, 0xcd1f3044, 0xbf999d80, 0x2189014d, 0xebaee272, 0xf5dbf027, 0x38241d2c, 0x4c9c39b3,
+    0x15e861d6, 0xd9150856, 0x54022d93, 0xcf37dcfe, 0xe2c19d14, 0x50a27a02, 0x7c63a34f, 0xab9fc063,
+    0xb331c0b7, 0x5d5833a4, 0xa6c521d9, 0xb7d2d746, 0xd80c5353, 0x41887ff3, 0xb381d08a, 0x9fdc3b10,
+    0x6ab890c2, 0x3efd4d0e, 0x20e5569f, 0xb75027fe, 0xc619bc11, 0xab2a5450, 0x2f23707a, 0xbaf9b03d,
+    0x62a3d5f7, 0x04b6cbe0, 0x35e93ba9, 0xff1e1200, 0x363f7e31, 0xca2b1574, 0xaafb4ea9, 0x64a00e56,
+    0xe22ebd0c, 0x552a889d, 0x89ec0861, 0x22045e1b, 0xa6b96475, 0x6aac3838, 0x1be75eb9, 0x90dd1ab9,
+    0x580330c7, 0x49e2477a, 0x98f998d8, 0x71f31040, 0xb744d0bb, 0x416ab809, 0x865d0e33, 0x03ad0161,
+    0xb75d5b2f, 0xe2d5b9b7, 0x0de18fe9, 0x1a1e8a21, 0x31b4210d, 0xee60931f, 0x9dd73e7f, 0x1c2edfca,
+    0x265684bc, 0xdc696599, 0xe6726014, 0x3f94a6a5, 0x0d6478e0, 0x52cac511, 0x9cf74d5e, 0x98aada25,
+    0x0b94e50d, 0xc11f706f, 0xcee4b0b1, 0x5afb8511, 0x5c514e31, 0x5b4d927f, 0x524e5dd8, 0xc823489f,
+    0xef9da9e1, 0x70842c6e, 0x45196cd7, 0x677b0113, 0x3dece0c7, 0xc9bf3cb8, 0x997a7ac6, 0xcc7116c0,
+    0x715a0d2b, 0x54d3da45, 0x053e1a03, 0x75204bb7, 0xda1bd8b7, 0x8944a597, 0x7662710a, 0x8f6ddd2d,
+    0xfcf9aa86, 0x52dbdf43, 0x5879439d, 0x75db0e21, 0xe98e3147, 0xb5dfa0d4, 0xfa642124, 0x517b8158,
+    0x56ba50f1, 0x2de1c996, 0xfdebfa01, 0x72393b20, 0xe057ffc1, 0x8721f165, 0x3c870250, 0x2675bbb2,
+    0xa7efbd9e, 0x5d12fee5, 0x28de3ade, 0x273bf405, 0xf1397c28, 0xd6c6ccb2, 0x6f7cc77b, 0xc0c53ae3,
+    0xa1dcbe9b, 0x06f98f7f, 0xa0007aaf, 0xf7e0c717, 0xd6fba3ea, 0x805ad390, 0x41f3dcf6, 0xfa59b6a6,
+    0xe09ce85d, 0xf2045b75, 0xc429d94a, 0x11e5cae2, 0x8903365a, 0x0067b3c2, 0x459264fc, 0xacecc098,
+    0x6d072e0c, 0x16ba5aad, 0x0540e280, 0xd081e819, 0x56ee5737, 0x8f47d0b6, 0xb280fbcf, 0x190fb1b7,
+    0xb905552c, 0x0cc80bc7, 0x3ed0d7c0, 0x81c18740, 0x7b1bfd8f, 0xa7b61b4b, 0x5878e778, 0x1f17d636,
+    0x9901f2f1, 0xff170c8d, 0x216edfb6, 0x7b070d1f, 0x525820b3, 0x04946cc0, 0x13cc1cc1, 0x7a2b910e,
+    0x65c54438, 0x1013652c, 0xae3fd78d, 0x224b01db, 0xdf1199e4, 0xcf91355e, 0xf73524a6, 0x85679d61,
+    0xdc12e8af, 0x175af35c, 0xa00d9fba, 0x61b827d7, 0xb74136a9, 0x0b6365c9, 0x4057ef79, 0x7ae3facb,
+    0xb70fe323, 0x0dc86f0e, 0x9fca8f4b, 0x00d858b3, 0x393a960e, 0xcf6e5c04, 0x6c65ce41, 0xb389fe6c,
+    0xbc39eecf, 0x22ed30c7, 0xe67e9589, 0x418722a7, 0xcf07f6bf, 0x990fddab, 0xd48585ca, 0x3ae74107,
+    0x61c20400, 0xf3b43903, 0xa1fcec17, 0x8d33887b, 0xf868ee64, 0x355c08ab, 0xf57f624c, 0x6c83efbc,
+    0x95eb8040, 0x7a1c523c, 0xddd36ad0, 0x13ec9b09, 0x7385f065, 0x5a79b0cb, 0xc0af3a7f, 0x2e88bd3e,
+    0xc27b079e, 0x2eec69fc, 0xe311d353, 0xe95a4a9e, 0x67e7fd7c, 0x9d34eabf, 0xe58c5dcc, 0xbe95b990,
+    0x8bd088c7, 0x7d48890f, 0x58f2c8a7, 0x08a7d051, 0x68b3ca20, 0xc96c3cb1, 0xc59b10e2, 0x84ae543d,
+    0x260bb29b, 0xa16aca1a, 0x1826576b, 0x0eb8ccc4, 0xcac736c8, 0x84bdcd6c, 0xc48e6a7f, 0x6de4d62a,
+    0x5d47c7ef, 0xd65c74c3, 0x38622f33, 0xdeb428e8, 0x6b9c9200, 0xc93d4be0, 0x4db78612, 0x37b96e7f,
+    0xa29e7c71, 0x53932e36, 0x75c5692d, 0xa73ae0ac, 0x076ca32e, 0xd7810467, 0xea76a103, 0x5de86cf7,
+    0xb5b61b9c, 0x42f80bf6, 0xa978093a, 0x90780861, 0x9b2a5aae, 0xde0f942f, 0x7cbc4333, 0xb6641162,
+    0x49e8ab10, 0x3fa6d71d, 0x855389a8, 0x31f17e6e, 0xc341a021, 0xc04936d6, 0x75c5b2ee, 0xa093952b,
+    0x64007758, 0xbefab6c1, 0xa90895df, 0x7d20c896, 0x99289107, 0xa9cd7fda, 0xad96dccc, 0xd3803ace,
+    0xca56c524, 0xf09e2098, 0x413f747b, 0xf257c366, 0x0800d657, 0xb1dcbd5a, 0xb33764ef, 0xeab5abab,
+    0xfb478b00, 0x68c74887, 0x53161e95, 0x3a7ef302, 0xe203428d, 0x5fb825a5, 0x219d663f, 0xe38d1a46,
+    0x43f84e52, 0x16f51d47, 0x5c80dcac, 0x047982c0, 0x1fa4e993, 0xa0c1b0b9, 0x6b38ab21, 0xf8afbd84,
+    0xdb3c4801, 0xc9376660, 0xa8bfe2be, 0x089e6be2, 0xfef5a3fc, 0x9625f664, 0x531b5462, 0xf758427c,
+    0xc0a0992b, 0x4c5b41a2, 0x6f8cf59d, 0xdccf6199, 0xf27406c4, 0xdc7a5c5d, 0xe4fe7f57, 0x05020594,
+    0x095338f8, 0x2a0ec7ea, 0xacd4c580, 0x5c45dab8, 0x2447cc31, 0xcac47c53, 0xe2109753, 0x4f15ae77,
+    0x0f8a84aa, 0xca2d543d, 0x0a403319, 0x81657ca9, 0xc2fe8f91, 0x3234efd6, 0x9c7c925d, 0x69dfd1b7,
+    0x011c57dc, 0x49d1271f, 0xba263b6f, 0xa9318355, 0x1d16c2c0, 0x31614105, 0xb705de14, 0xc76442b2,
+    0xaa7f8116, 0xce8739a3, 0x7c0227d1, 0xb067beea, 0xd3f7a36a, 0x14e3b2d8, 0x1a5bb2c1, 0x6d1cdb0b,
+    0xfa24b61e, 0xa273e0cd, 0x4ad28e8d, 0xf9435780, 0x30055216, 0xe40b7642, 0x48f0afec, 0x719bd445,
+    0x4218f0f5, 0x458df296, 0xe7347b0c, 0xb8d38ee6, 0xdaaa8515, 0x07f0c612, 0x13ff2dc6, 0x661b8fd7,
+    0x06ad6498, 0xedae5bce, 0x7b650bcc, 0xbfff612c, 0xe559f695, 0xf3d8a79b, 0xcc3719ec, 0x64671bdd,
+    0x74d3f728, 0x6215f784, 0x3cb742d8, 0xea0d5fff, 0x2389a97c, 0xf7047519, 0x0eacdda0, 0x9292a410,
+    0x20ce3df6, 0xd4df0f5f, 0x191f0b95, 0xe5ae71fc, 0xa38f94ac, 0xec85c2eb, 0x6b47a341, 0x18fec943,
+    0x1a4555e4, 0xcebc4fa8, 0x42c50cb7, 0x48c566a9, 0xb17319df, 0xf291e5fa, 0xaebc086e, 0x9ad19470,
+    0x57aedad2, 0x4d263afa, 0xb43c93c1, 0x50e4b771, 0x993b6186, 0xc412c236, 0xe82b590d, 0x3a48274a,
+    0x2cf90dee, 0x7699c079, 0x1475e816, 0xdd4f9c91, 0x29e38420, 0xc0fedbbf, 0x564f2ecf, 0x124cfb52,
+    0x9a003e92, 0x13faa4c5, 0xa5bae500, 0xfe378c02, 0x84bd9b0f, 0x9865baf1, 0x83c44e5e, 0x0feb51ad,
+    0x6760cfbc, 0xb42dbdfe, 0xc17ed0ff, 0xfd16754a, 0x58bfb280, 0x0f26f915, 0x03757ecd, 0x2835ffb4,
+    0x041ec454, 0x8b0aa07c, 0x02bc0282, 0x18d23f56, 0xdd229e0d, 0xab17ffb5, 0x82b39abd, 0x08ba1453,
+    0x9fad5247, 0x75ca63ea, 0xb1d88aff, 0x01b1bf7b, 0x79a11559, 0x6f3eb5b1, 0x3b356679, 0x253a43cb,
+    0xba9f5d76, 0x7c1dcc09, 0x60eac61e, 0x0f569793, 0x95f9b0e1, 0x9dbd9595, 0x4440d2d3, 0xba83b73f,
+    0xe2057c12, 0x457c5742, 0x4fc31253, 0xe8b3bd0a, 0xf24fc1ce, 0xf95fa949, 0xacddf7d1, 0xa4202d80,
+    0xec341277, 0xf3fe6745, 0xf66c1165, 0xe059d994, 0x589892be, 0xc2db3b4d, 0x89b7cba8, 0xd9dd21e8,
+    0x7ff22e31, 0x6538eb91, 0xe98eb874, 0x69f5d28d, 0xb3f8aeee, 0x9e534c8c, 0x726542ed, 0x6d23a0d2,
+    0xb20cf677, 0xc8c19024, 0x7b01a153, 0x9125a130, 0xa02f82f6, 0xd7600921, 0x5a3eb71f, 0x11f569ad,
+    0x16687f87, 0x34dad3b0, 0x33142c12, 0xec580083, 0xd5251599, 0x68c1ad23, 0xf8ef5e75, 0x9c334109,
+    0x1d532ad8, 0xabd6365c, 0x0459ac66, 0x2588a729, 0x3ce0f263, 0x78bdb159, 0x292c7711, 0x77a949e2,
+    0xd997464c, 0x2c38ae3f, 0x20decaa0, 0x7a7cc593, 0x916ebef9, 0x93e323fa, 0x0acfbd41, 0x3df70c4e,
+    0xaadb1f37, 0x1d01f908, 0x6d54bbbe, 0x9e505e06, 0x4687ac18, 0x7f260b5b, 0xf93c8061, 0x99e56130,
+    0x3c66a490, 0xe34eacb0, 0x027d5ff7, 0x74e1cd95, 0xfa84c85b, 0x56c2c288, 0x4353223a, 0xc2ec9d96,
+    0x0cbe201f, 0xd9016d0d, 0xfdc3b463, 0xcde27bdd, 0x31352375, 0x07572cf6, 0x8140a484, 0x1a4c1a15,
+    0x6f8e95a4, 0x4aa5180f, 0x9d4f2c6d, 0xf0143f11, 0xbaa50df2, 0x05b90a0b, 0x912e8505, 0x071215d5,
+    0x968eca10, 0x01cd8c56, 0x777c4275, 0xcfecf844, 0xd8e95abf, 0x15f081e3, 0x52bb0d69, 0xbc7b43f7,
+    0x585144fb, 0x2263c29b, 0x0196796f, 0xca3310c3, 0x4ee5d020, 0xc1cf72ae, 0x79eb2b84, 0xefe68a9e,
+    0xef9a7543, 0x860269bc, 0x4c39be5b, 0x2552f24a, 0xf4248875, 0xbeb63d2d, 0x8ed3dfa4, 0x568ca125,
+    0xc44ccc55, 0xe9a881b1, 0x6bfcf854, 0xf5507b90, 0xc580b153, 0xb2be4364, 0x9586ec7f, 0xae3f40d4,
+    0x9a1b4a8e, 0x4ea26b08, 0x0f6efea9, 0x159aebb1, 0xa635bd32, 0x56173032, 0x9d2de121, 0x89bc7e3e,
+    0x7c4afc0c, 0xc08207d3, 0xe7e6259d, 0xb2ab825d, 0x74d18e1d, 0x7525ae85, 0x65caac64, 0xa32b88db,
+    0xdcb7f781, 0xc926f016, 0xc714c83f, 0x0f120318, 0x0010281c, 0x7759b09c, 0xd6741fdf, 0x89779696,
+    0x4b7f9577, 0x347820d0, 0x6932207f, 0x7b80b148, 0x972c4c6f, 0x3c5a081e, 0x6ac31499, 0xc4df0793,
+    0xf8c39f98, 0xa199f2d2, 0xc9264e60, 0xa653abc7, 0x4973664c, 0x89d9036b, 0xc4d579c6, 0xfb914369,
+    0x8643f3b9, 0xd60cc558, 0xb3003ea9, 0x610ccde9, 0x16e6c48c, 0x86e5cf00, 0x78d0e5f4, 0x7e9d49b5,
+    0x1e5e1f7a, 0xe87a9888, 0x77a39f62, 0x9518c4bb, 0x720ea2e8, 0xe3037bfe, 0x09e1a23e, 0x25652977,
+    0x7f62b486, 0x914c48c9, 0xcf9831da, 0xbfacbc1d, 0xb2fcdc8a, 0x05129d42, 0x2181b59c, 0x6d11b304,
+    0x685da5fa, 0x8670baad, 0x4994f067, 0x9a30193e, 0x1bd6e6e6, 0x4b716081, 0xd5864bd1, 0x04767d60,
+    0xda63fa67, 0x4d13051f, 0x264f6dda, 0xd87d64ba, 0x71ef82ee, 0x557673b8, 0xd7e09b54, 0xa100d7a8,
+    0xff7f4267, 0xefb0e491, 0xf8b9ebd9, 0xe5b12a00, 0x5210065b, 0x1d01e083, 0x10e76283, 0x006d845e,
+    0x52a7f813, 0x28270807, 0xb58068dc, 0x2101f342, 0x71ff57c8, 0xf38956be, 0x960de2ef, 0x19e1306a,
+    0x3bf11b3b, 0x92c18b4c, 0x899cd7be, 0x51e2a073, 0x4c325108, 0x053f4e17, 0xee6d508d, 0xd9fc374d,
+    0x86cf486e, 0x758e79c1, 0xa900ed25, 0xc65759ba, 0xc00b68ce, 0xc5ad66d6, 0x83584e3d, 0x05f42651,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000411376139330301510538742295639337626245683966408394965837152256 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039098, 0xa562dc91,
+    0x00000000,
+    0xc92d8c00, 0xf5dab7ca, 0xead53542, 0xf2bfee93, 0x6a029fda, 0x60720356, 0x20eed349, 0xf3ff32aa,
+    0xd79849f9, 0xf09e5135, 0x7f297778, 0x472bd060, 0x4484b992, 0x5c853f76, 0x19e95d99, 0xc74ca827,
+    0x4c9e17a8, 0x5569e159, 0x53c8aa3c, 0x4e91479e, 0x0847d49d, 0x14c8f0ab, 0xc26297c6, 0x424ad08b,
+    0x3852d804, 0x64bf04bf, 0x13b46feb, 0x87cb151c, 0xde3203df, 0x199ea237, 0xe64e6f44, 0xb6f1f363,
+    0xfd3e2193, 0xc96ed6cd, 0xcb897c07, 0x87bb0c23, 0xac941f02, 0x35bfc3e5, 0x6e929b66, 0x9d7daafa,
+    0xb9b74192, 0x32ea3a04, 0x590efcf8, 0x51ad9d86, 0x7d1f0aae, 0x4a8a6f97, 0xd82c2642, 0x82719317,
+    0x58ed0a91, 0x978db481, 0xd872430e, 0x07955a49, 0xc3f71767, 0x3ab20fed, 0x7395a5ad, 0x553f0918,
+    0x69d4abe2, 0xafca1c0d, 0x7c4937b0, 0x99b525bd, 0xa86934ff, 0xbb92fd56, 0xd5b06888, 0xb549c53a,
+    0x895b3a60, 0x9e39fd8f, 0x7d42826a, 0x06722818, 0x0de84836, 0xcb2bca3a, 0x2b491063, 0xe23f10a2,
+    0x926c4e04, 0x4e790765, 0x16f952cd, 0x44001bd2, 0xb02dc73c, 0xb7553194, 0x8d5212a0, 0x35f22703,
+    0x6b2733bc, 0xcdc67fcb, 0x1336182b, 0xd1d59516, 0x547774b7, 0xd59fd2be, 0xe10724d1, 0x6d97b97f,
+    0xcf992cdd, 0x97352d2b, 0x653f7eb3, 0xacc56eab, 0x2ec73d30, 0x06853847, 0xcea49ced, 0x714d93eb,
+    0xeaa61f6d, 0xa736dea1, 0x364ab7f8, 0xa43604d2, 0x22e233d9, 0x96f0f21e, 0x0d571ee1, 0xcae539cf,
+    0xba3018be, 0xc1ac9453, 0x90e3c0fc, 0x297c3a97, 0xb42894f5, 0x3dbdeb17, 0x0986dc0c, 0x48c58b68,
+    0xd9c19dd7, 0xc55ce873, 0xf8899f7c, 0x7ee336cb, 0xce151fa7, 0x95de0b42, 0xf31fe35b, 0x8cc6a7ca,
+    0x3bda78d2, 0x4fa06397, 0xe61a152a, 0xbd0d80bd, 0x950b9cd9, 0x1ed56d36, 0x65228307, 0xd35f119b,
+    0x3280d460, 0x5c9766b5, 0x008b0646, 0x29194213, 0x8bfb068e, 0x4f3c5583, 0xf3eb2128, 0xc4b7cc25,
+    0x031b0e1e, 0x6824dd74, 0xa744e9ec, 0xd203247f, 0xb5c034ed, 0x033054bf, 0xe9d1e7ea, 0x28844255,
+    0xeb84803a, 0x8239fc34, 0x59840094, 0xc696dad0, 0xb8d78608, 0x04765ca2, 0xeaeba00f, 0xc6c94326,
+    0x8c785e29, 0x78356ec8, 0x7d22ce92, 0xf1af4fdd, 0x724117de, 0xa3552a85, 0x52fc40fd, 0xd6828894,
+    0xd9ce3bc5, 0xb4493b55, 0x0bc9f5c9, 0x3abf9295, 0x2f9044f3, 0xbd5f3a98, 0xfdf168d4, 0x79362957,
+    0x7af76269, 0x96d19e60, 0x831232b8, 0x18f4cd04, 0xd708ed49, 0x67ba219b, 0x6ceda2e8, 0x5760f38c,
+    0x572bb093, 0x718271e8, 0x7cd339f4, 0xf0ffa1da, 0xca99a6a3, 0x4f97ea4c, 0xb8a91587, 0x502a0ed1,
+    0x42535ce8, 0xf8013977, 0xefedd6be, 0x46baf0f4, 0x6d65157c, 0xe6b80708, 0x5e7bdd6f, 0x40315d25,
+    0x1e2b9bfb, 0xe790f0dc, 0x02a14519, 0x363e8951, 0x022dddcc, 0x4a4f67bf, 0x98283317, 0x4243241c,
+    0x4763d7ba, 0x20b7de08, 0xaaa64e99, 0xdb235f95, 0xc603921a, 0xe1377f93, 0xa81d9fa7, 0x8775f2e8,
+    0xa52cab22, 0x7d9a44b4, 0x28af0532, 0xec4d6115, 0x0dc4c024, 0x32406779, 0x368bdda9, 0xb0d6fc2b,
+    0x4350d74a, 0x390731ba, 0x2ea93302, 0xcbb47b58, 0x9c782253, 0xf9c23acd, 0xe5c7ed75, 0x98943a79,
+    0x5dfbfa27, 0x7d4f2bb1, 0x53a9a199, 0x56385c27, 0x7e935083, 0x3a0294c1, 0x128b3528, 0x7170ade5,
+    0x3b0803d9, 0xb8dd031d, 0xc7ddbd48, 0x2d67a171, 0x718b5545, 0x30149296, 0xbb95c185, 0x075faaf0,
+    0x4edf983c, 0xfb6e6e62, 0x6f6f0306, 0xe2cb5b28, 0x10e9be23, 0xa425cec4, 0x3fbe4198, 0x9e659486,
+    0xa025a287, 0x1667d489, 0x6698a077, 0x56f2e12f, 0x52e13d6f, 0x3bd5e99d, 0x72aae9bd, 0x27811827,
+    0x658baef2, 0xe456b31a, 0xbfc6d215, 0xf786d284, 0x1124800a, 0x184b0446, 0x1f69dd41, 0x74a07f11,
+    0xcb373988, 0xb54d96b3, 0xcb55b44d, 0x4b7fe4ba, 0xc45d0ee2, 0x2dfea458, 0x050865e8, 0xb08177a5,
+    0xe00c816f, 0x39acbc00, 0x3a97aea3, 0xc1c027b6, 0x223de29b, 0x33232365, 0xe922112e, 0x494181d3,
+    0x1926a69d, 0x0b72b6b0, 0x40882ecd, 0x41091135, 0xfbc9e1b4, 0x6fe2b17f, 0x360716e5, 0xb5d58714,
+    0x7df939b3, 0x6cf6c1c4, 0xce6f11ab, 0xdb208559, 0x068fa648, 0x429c5344, 0x8cb41510, 0x8bd6c850,
+    0x36affb91, 0xd78add40, 0x58831e88, 0xe360623d, 0x2c74095c, 0x66604c39, 0x433b00d7, 0x148bb259,
+    0xeedbdc2d, 0x60d9addd, 0xdc8bb02e, 0xdd33bb09, 0x945d9cf4, 0x5ff1f305, 0xb5783f8b, 0xb7d26737,
+    0xbbe5a294, 0xfc8aae78, 0x56c14ea3, 0x1d11dca8, 0x90c9bae8, 0x29120838, 0xc7598fbe, 0x73f4b8f5,
+    0x545b91e4, 0x161b0e64, 0x54eeb3c6, 0x68bb4653, 0x6f0e4329, 0xa88eacee, 0xe3ddf0ee, 0xa04f4804,
+    0x19fa4e96, 0x7f098f7f, 0x63d6438a, 0x4a557fb1, 0xee502715, 0x1099736d, 0x9af65501, 0x71a96954,
+    0x639858d0, 0x1c37419e, 0xdd474137, 0x6ad31d8e, 0xe9b3fe9b, 0xdfd9b145, 0x4d7795f3, 0x153c9b1f,
+    0xf7e3b199, 0x864adad3, 0x5aa0233d, 0x5563d4d2, 0xe681517b, 0x80bff70e, 0x0e86f88a, 0x3437c1e8,
+    0xa35d1158, 0xac94eb65, 0x60b444f0, 0x9453e26d, 0x58d7ce0b, 0x85ad3a6c, 0x41bb8648, 0xe97ef225,
+    0xf86b43fd, 0x5df305d2, 0xff2500b3, 0xe5c0af7f, 0xc7b97ede, 0x71b8a85c, 0x3700cfa0, 0xf4bc41e6,
+    0x66986575, 0x9d199fe1, 0x2171e82a, 0xcfa02683, 0x13ff938e, 0x303d2916, 0x6d937ef9, 0x523afc7d,
+    0x74731576, 0x628d1ec0, 0x91ee8044, 0xc89ad5da, 0xca9c571b, 0x9313f602, 0xbf1d00b6, 0x959162e3,
+    0xf7ebd311, 0x8b31ebca, 0x60424594, 0x4e8ca614, 0x10eb039c, 0x2fbae59c, 0x5e9cd659, 0x6baaba52,
+    0x9a50a6f4, 0x287896e7, 0x6e696f27, 0x94ab7638, 0x9f0bf40a, 0x0aabbcbd, 0x92b05da8, 0xb031c444,
+    0xfc14734d, 0x669c823f, 0xdbdaecfd, 0x69ded20e, 0x0c35bc50, 0x02ac4601, 0x677c7d11, 0xdb18a568,
+    0xc472799d, 0xc0851600, 0x15b23a81, 0x4017b4a7, 0x33385582, 0x0d7f80bd, 0xe42c0cc2, 0x40b9c239,
+    0x9f4f9c2a, 0x8a6374b1, 0x3355fbd6, 0x8a6f81ce, 0x34226b73, 0x59a84abb, 0x4f8453a2, 0xdfe51dbf,
+    0xe888bbd2, 0x239597d0, 0x7ea2c179, 0xafb39d32, 0x35fe7b38, 0xff209fd9, 0x74fbd865, 0x12e8a7d0,
+    0x69dca45c, 0x402a691f, 0x74ece1dc, 0x066f2c7c, 0x8e841e88, 0x5aca3e4e, 0x9927f933, 0x024a2ff1,
+    0x83927d51, 0xee08308e, 0x83d635f4, 0x53a414dd, 0x4e02dfba, 0x9424d794, 0xd4daff0d, 0xe467bfa8,
+    0x7f1a4f1c, 0x08cc5f6c, 0x0ac23676, 0x57a35ed3, 0xb8690ac9, 0x6650f7d6, 0x8c0c944a, 0x38ee73f4,
+    0xba230b6d, 0x2f783f7d, 0xe0af35cd, 0x5a651502, 0xc253c2ac, 0xb2f22df7, 0x7e5cb0f3, 0x2a5a2a6d,
+    0x1820c445, 0xba7a5fdf, 0x5f825c3c, 0x3eb0b18a, 0x5181f76a, 0x8e580773, 0x84d79a5b, 0x41dc6626,
+    0xeac13422, 0xc4550c04, 0x18096042, 0xc856dcbf, 0x52f480c9, 0xdcd8e09f, 0x2032e87a, 0x772b4e00,
+    0x402f3e81, 0x32909a92, 0x65a0ac60, 0x76ac5f52, 0xbcf8a184, 0xd1041dcd, 0x63d56606, 0x3070b3a0,
+    0x583503e0, 0x10d3962d, 0x85e29df1, 0x8debd67a, 0xf13aa0c1, 0xce1dc49d, 0xa3193243, 0x217f166f,
+    0x31983edd, 0x23296ad3, 0xd5ab0baf, 0x68b7029d, 0x7f85ee8d, 0xdcaae488, 0x11038301, 0xe468f1a0,
+    0xc9e7e1c3, 0x5280bd1c, 0x276e5f45, 0x3f8b7514, 0xfa30c91e, 0x46df90d8, 0x0252ef87, 0x66c60db4,
+    0xda1d137f, 0xd9a86bc4, 0x74df1be3, 0x5d0c1630, 0x71f130b2, 0x5b5faafa, 0x5302183d, 0x6750230e,
+    0x68d14d3c, 0x72f91169, 0x59ccd462, 0xa120f933, 0x52fbbe58, 0x813aa7f0, 0xe9700976, 0x8479888b,
+    0x8a415ea8, 0xacb94619, 0xe6fa5f92, 0x06807be7, 0x0ba67e2b, 0x6d36d657, 0x949d7dee, 0xbf2e1ad1,
+    0xa0a170ef, 0xcbac5795, 0x325120f0, 0x2daed0e6, 0xd4aa64b4, 0xb547b0e6, 0x0dab761f, 0xcaa2b3d1,
+    0xb3ff348e, 0xf7babe18, 0x717de818, 0xfb26ace4, 0xa9c76e60, 0x10308193, 0x744c4cc8, 0x9e9d78fd,
+    0xcc97f608, 0x72224bd7, 0xe7ba27ec, 0x92c408f5, 0x80561fe8, 0xba256f32, 0x0bbb43a2, 0x623a10b3,
+    0xbf6f455c, 0x6cc1bf28, 0xf0701192, 0xe4ee6bb5, 0x5881b323, 0xd87b6517, 0x202b0a5f, 0x24a77929,
+    0x1519e777, 0x32b370ac, 0x27cb9b5a, 0x9357b8fe, 0xb45e654e, 0x044faee8, 0xc8064143, 0x7479480b,
+    0x4a2ce126, 0x8dd9007c, 0x58c2c5e4, 0xbd975912, 0xb2da49c7, 0x00140cae, 0x43519d03, 0x7543f631,
+    0xa8f8b5ff, 0x60cfaed8, 0x7986659f, 0xa0a6cfa7, 0xe8746735, 0x26194440, 0xf773df38, 0x8e02e965,
+    0x0ce98186, 0xbb27cd00, 0x8746fe17, 0x912862f6, 0x6aace63f, 0x2631a907, 0xc57955b3, 0xd2c1aa1d,
+    0xc4253c01, 0x30a1cbb3, 0x65c427ea, 0xd57e78f7, 0xf516a019, 0x48d96eb2, 0x66808479, 0xefbcddb5,
+    0x74ecea95, 0x590cb7f6, 0xdce21ca8, 0xc8bbb009, 0x6561261c, 0x8bbff50d, 0x5e2f7fc4, 0x7059b420,
+    0x079d7392, 0x8ea00953, 0xbe32ed38, 0x45bf327d, 0xf7c8f377, 0xa7f18928, 0xbbb0e92e, 0x70aca01a,
+    0xacfdf484, 0xc7f98c9a, 0x9ec38e44, 0x0e2ceb78, 0xe957cebd, 0x2c117819, 0x19174221, 0xcc593daa,
+    0x0da49516, 0x88a9681a, 0x58c6e22f, 0x603ce8ae, 0x40ba0872, 0xa6ec4dc7, 0x4eb84868, 0xff0b7657,
+    0x218f8f7d, 0x64f32c68, 0xa8693058, 0xeca5609f, 0x3f6be153, 0x269ac0ef, 0x16473825, 0x4bc1d19d,
+    0x1c5acf16, 0xb6bc44e8, 0xc7cbae93, 0xeb6e8610, 0xd2c01a67, 0x18edddd9, 0x77bb98f8, 0x621bf198,
+    0xd22eb1b5, 0x7e0e6225, 0x0812908c, 0x5c0e0c0a, 0x7a3bcbf3, 0x341cee78, 0x2a91efb4, 0x5705faf0,
+    0xeca0f33d, 0x9b97dee8, 0xa402a3cd, 0xaadc899b, 0xf6d40b3f, 0x2faf6ee2, 0x2aff21f0, 0xc0b51919,
+    0x1fad3025, 0x236f2c34, 0x2bfcbee3, 0xf24f3225, 0x8846f471, 0x67b2194b, 0x36296485, 0x0ead0d66,
+    0xf235eac4, 0x407938e4, 0x0a5ca727, 0x34668064, 0x67e3cfe1, 0x25c566ae, 0x715d0173, 0x4cdd84e6,
+    0x7488194e, 0x59023f94, 0x4df049ea, 0x9803e16b, 0xdc479e96, 0xc7066e67, 0x442118f1, 0x38e2b136,
+    0x480bc91e, 0x6bc053ea, 0x4b8cf2df, 0xc3c0daa1, 0xb615006b, 0x19973635, 0x380ad331, 0x78b60e50,
+    0x2b06914e, 0x47bda047, 0xcd689363, 0x050d4533, 0xfcf72956, 0x833ecc38, 0x5200ef59, 0x9c156113,
+    0xfae718ca, 0xf96a624b, 0xfd4a7d10, 0x7244fe0b, 0xae98d763, 0x2abc6d50, 0xe674f980, 0x25957bfe,
+    0x9c9c383c, 0x48fb6917, 0x36e4e80c, 0xe04d3c48, 0x885356b8, 0xa42b758f, 0x59b55d2f, 0x184a694e,
+    0xb35f7ec7, 0xa6323c29, 0x5a844e66, 0xf273597e, 0xe4c41f3c, 0x1fd856c9, 0xccab7436, 0xc6823b15,
+    0xc211cc6e, 0x8a85d530, 0xb9bd4eb3, 0x8ed7020d, 0xf6428ed0, 0x967ff2e5, 0xa321de9c, 0x0f2b73d0,
+    0x4d46d7d7, 0xf6ef1924, 0x0eb4291d, 0x634a23e1, 0x7d271696, 0x0aca54fe, 0x95ceac07, 0x3f6c6c09,
+    0x98e70368, 0x1f48158b, 0x35794960, 0xe543fe70, 0x0c84397a, 0x3d265c83, 0xd19602b7, 0xbea34a66,
+    0x29421004, 0x398410e8, 0x0deb3a28, 0xe3549318, 0x439bb65a, 0x076fbfe6, 0x9359c034, 0xb7a5ca04,
+    0x3898afee, 0x50b6cfa7, 0xd06f1cb0, 0x02e2e921, 0x5064155a, 0xcee6cad1, 0xcb5eb4e4, 0xa0735785,
+    0x2e7100ed, 0x4ad434b2, 0x63e1a3c6, 0x8c619bcd, 0xea51f156, 0xd11d80c1, 0x0ef129c2, 0xf4e4fe00,
+    0x3bc6aaf3, 0x7398d299, 0xc91eda05, 0x24baeaa0, 0x91455fda, 0x52e8820f, 0x90ae5067, 0x3b74c725,
+    0xd9387575, 0x76739c33, 0x42aa49ea, 0xefe2137f, 0xc3d00e68, 0x598c7f7a, 0xf0225a97, 0x5d8a6efd,
+    0x2289e1da, 0xd67b2c0d, 0xd8f1015a, 0x8095ecca, 0x5655fded, 0x8d6d3d6e, 0xb43fae97, 0x1432a6d8,
+    0x0535a88f, 0x46501bd1, 0xcd2d1b88, 0xf1071d85, 0xda82d542, 0xdc20c1a5, 0x2c25353a, 0xf2f7ee8a,
+    0x68a1a645, 0x1892719d, 0x172e2660, 0x918020d3, 0x1410aba3, 0x9ea3f6de, 0x0f89ff8e, 0xf336ce86,
+    0x1dbba255, 0x5fd71932, 0xb7d5dd96, 0x5846adb9, 0x1426574e, 0x422e7cfb, 0x419a7b6f, 0xc6282515,
+    0xb1a730a9, 0x31d03a15, 0x445611f4, 0x726239dc, 0x7def9262, 0x6c2630d6, 0xbd651d06, 0x810eed5d,
+    0x3595a438, 0xe7322be1, 0xae500afb, 0x4248da87, 0xeab2d140, 0xaacab596, 0x0998eda4, 0x0e186903,
+    0x9e738724, 0x3bee9b6b, 0xbca1dcee, 0x5cfdd384, 0xc0a36443, 0x29d44840, 0x755676f3, 0xa88031cb,
+    0x2a7e07d7, 0x8a9e17d6, 0x6fe0dbb6, 0x9b227ebf, 0x18b93e0a, 0xc101458d, 0x673c9352, 0x8cf2151c,
+    0x2dea4188, 0xa8e0cd32, 0xcd47acae, 0x16024aa0, 0x09324b58, 0x1ac2ccab, 0xfbdf1473, 0xf505927e,
+    0xdd606dd5, 0xabb687f6, 0x3c8c571c, 0xee91ccb7, 0x016bed73, 0x4aa625de, 0xa54575f5, 0x53038548,
+    0x6a148a45, 0x5a0979e4, 0x1ac7a500, 0xc62ee7cd, 0x0ad9e4b6, 0x34963992, 0x4b6d9b3e, 0xc47aff29,
+    0xc045c5d3, 0xf814dca0, 0x8ea06ff2, 0xdc209dbb, 0x85ce54b6, 0xa1b798d8, 0x2e00264d, 0xda763081,
+    0x18ec423f, 0xd5442a2a, 0xd59dd540, 0xa692ca58, 0x2a5d662f, 0x071122ce, 0xdd07a012, 0x6831d8bb,
+    0xf98e845f, 0x249712f3, 0x0dd14f25, 0x7b9f5096, 0xa5561636, 0xda63b862, 0x92482688, 0x292cb735,
+    0xfa7165ee, 0xcb309ae1, 0x8e71f769, 0xd70c74ea, 0x832954fb, 0x76d73df4, 0x5d2f1457, 0x9b528bee,
+    0xf4a360bb, 0x762aa767, 0x6769c8e2, 0xa83d41b9, 0x754c8565, 0x49be2b3b, 0xe5c8283b, 0x403fffaf,
+    0x6d6f539e, 0x01a3f2f0, 0x3c142365, 0xe665d7ba, 0x0bb10f3b, 0xee162254, 0x9a3cd52d, 0x9417a6d6,
+    0x9c11f4ce, 0x2230f7ff, 0x78343737, 0xb4714550, 0xaf71772a, 0xaed57f0c, 0x141aff0c, 0xbdc5e265,
+    0x3f1cc29c, 0x82acf28f, 0x1c022d77, 0x65fd43cb, 0xb8fb08bc, 0x6ff16159, 0x35fa0725, 0xf7de3692,
+    0xe2cd0fec, 0x86fbcbd0, 0x044d89f9, 0x690ca71b, 0x4a542548, 0x0351d23e, 0x271f5b5c, 0x14e8048e,
+    0x272570a0, 0x17adfbc3, 0x5973512a, 0xbdc3a64e, 0x278d80ad, 0xac4ccdc3, 0x3d59b1bf, 0x62a89ef4,
+    0x7809c29a, 0x50b7dc81, 0x68ef72bd, 0x6d113a0c, 0xf7f04526, 0xf8befe00, 0xabc89a4f, 0xf9ab7440,
+    0xdf576820, 0x10deb856, 0x25bdfc72, 0x1d56d2ae, 0x1d7ea9db, 0xc2c17c20, 0xf71450c1, 0x55f39560,
+    0xeaf6188f, 0x38843db7, 0xa32eae79, 0x48bd407b, 0x318bd088, 0x61dcc8f6, 0x421205e4, 0xf5266a34,
+    0x1d4181b5, 0x043adedc, 0x9305a194, 0x8fc80534, 0x65122a95, 0x07be3288, 0x9ba5dd62, 0x0d2edf44,
+    0x7fed6a46, 0xee2cbe67, 0xe60da9b9, 0x2f094a20, 0xe6ca41bb, 0x40c49aaf, 0x336911fb, 0x661f3d15,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000205688069665150755269371147819668813122841983204197482918576128 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84c, 0x52b16e48,
+    0x00000000,
+    0xa0787111, 0xd36b875c, 0xb1b49ca6, 0xaa475fc6, 0x53b5ecee, 0x0b277be5, 0x812aba8c, 0x48541c0c,
+    0xa4019385, 0xd0506921, 0x97cad87c, 0xc810e1d6, 0xe9eaee5e, 0xc5a3c6a1, 0x7e3f3af5, 0x5f672810,
+    0x098e6e63, 0xe4092878, 0x33e2ad5c, 0x8eac8e9f, 0x275af653, 0xc00b914f, 0x62467b74, 0x8e3f0772,
+    0xeef9b1c5, 0x6726ab73, 0x8f1734a3, 0xac7133f6, 0x278a187a, 0xa00bcd77, 0x1d2cd547, 0x2c8f4c90,
+    0xe390a5d3, 0x680adbfd, 0xdf23ca25, 0x48432459, 0x6fe68e4d, 0xfbed8a3a, 0x57340536, 0x489c0814,
+    0xca085f39, 0x8ba62fcd, 0x247a7329, 0x608d63c1, 0x40f0ec32, 0xb2fd31ac, 0xf09b5a90, 0x8f6077b3,
+    0x33d26999, 0xc7b088ad, 0x671f0fb5, 0x42eb9b9f, 0x83e21148, 0x7fcbc7f8, 0xa3230640, 0xcf549f64,
+    0x44f85f5f, 0x04450bc9, 0x98752ecf, 0x8069b1bb, 0xd574a588, 0xbaa2e432, 0xeac9e9b4, 0x72ca2618,
+    0x5b900ba0, 0xed659e4b, 0xe871c12b, 0x32bd876d, 0xf738a3e2, 0x7de3fad7, 0x86a89484, 0xadd80831,
+    0xb69053d0, 0xc0fbbc7a, 0x152e43f8, 0xceadfd94, 0x48d41dc6, 0xc7adae33, 0x63e8d175, 0x4e7fc9e0,
+    0xd2f3b561, 0xa5724f71, 0xff816cfd, 0xaa631d3d, 0x7bad7e8f, 0x719c1bca, 0x06ff0df2, 0xf52a2d33,
+    0x981f92f8, 0x6d25dbb2, 0x07ca3fea, 0x62f8ccc1, 0x3729b76c, 0xbe4fc51a, 0xc83fed9d, 0x71ac232b,
+    0x571440bd, 0x43e4d861, 0x994d9719, 0x035d3971, 0x105c7802, 0xdb6504e8, 0x2caffd99, 0x56295473,
+    0x3bf91031, 0x0911ea9e, 0x86fbfddc, 0x236c46ec, 0x8c76e3e3, 0xe214ae79, 0x525e526f, 0x2e14b345,
+    0x67928de7, 0xc2e43b35, 0xb0c4ee51, 0x4a966c54, 0xeda90d1b, 0x40cccac0, 0x0ad2190e, 0x2487afaa,
+    0x5c767539, 0x6370d834, 0x33bc5d91, 0xab526871, 0x6845daaf, 0x9c4d0c32, 0x56b34152, 0xc5d26454,
+    0x0d1cdc32, 0x58186a6b, 0xc6c5e48d, 0x3e75cf01, 0x19eb1b44, 0xf98ac5ba, 0x728f6240, 0x911d1942,
+    0x1fb15171, 0x59dac370, 0x7393fbe0, 0x488b91be, 0x85385413, 0x7868961f, 0x1c566d78, 0x93fb4d7b,
+    0x8d763be6, 0xd5f2eba8, 0x64d89879, 0xfe219e84, 0x65096fd3, 0x6073ae78, 0x34d41462, 0x1dbf916a,
+    0xb9d12953, 0x22061c98, 0x3def0172, 0xeec8632f, 0x2443a362, 0xed9841b2, 0xdb825aea, 0xb92dbfc6,
+    0xba5380af, 0x74456cf5, 0x575a607e, 0x425368b3, 0x466343b5, 0xfbd7b3d2, 0x6bf940f4, 0x6013e3cf,
+    0x5563caf6, 0x0288c3a9, 0xd02f8939, 0x528838bf, 0xc250b7a7, 0x49a8b1ef, 0xe2c6a9cf, 0x607aae0b,
+    0x549e3da7, 0xe9693489, 0x73f92c7a, 0xa9cdad50, 0x7d10021f, 0xfd013409, 0xf7406d44, 0x16b31745,
+    0x02839d9b, 0x38d617fa, 0x56bf7b3d, 0xa10d9020, 0x54d39aed, 0xf080dec8, 0x2c465087, 0xe5a4c7df,
+    0x6fb9b56d, 0xec4639d9, 0x1c42413b, 0xd2f744d9, 0xb90c55eb, 0x8921ee91, 0xd583117c, 0x9d8fe596,
+    0x10c3cfed, 0x97f9b651, 0x1fa74871, 0x803775b7, 0xb7304e49, 0x7cce182f, 0x776c3af1, 0x20a4648c,
+    0x411aad12, 0xb8b84670, 0x285a00ff, 0x2f50e940, 0x10b5ccf5, 0x631346cc, 0x0381ad8b, 0x12b41e27,
+    0x845051cd, 0x26465a40, 0xfcb07551, 0x050b6673, 0x4b6a07a1, 0x26da6cd9, 0x353236d6, 0x82b4cade,
+    0xb924b3d0, 0x81abe282, 0x7557843f, 0x962f115d, 0x9cd8d42e, 0xed0386b9, 0x6994000c, 0x972e2619,
+    0x456209c0, 0x9f98e6d7, 0x6ea1954f, 0xf83d915a, 0x5341c631, 0xf58040c1, 0x314837bd, 0x257b469f,
+    0x6b298321, 0xe1066095, 0x30871685, 0x0b007e69, 0xb721ac2f, 0x8379bc62, 0xd2ef97a9, 0x2aa9ee88,
+    0x67f44607, 0x923083d9, 0xc20fb247, 0x3438812d, 0xde7dca7e, 0x28837bf5, 0xa7e3b012, 0x66ac2c4f,
+    0x6c83e87e, 0xbf9b5ddc, 0x9539570c, 0xd80a642e, 0x2fed89eb, 0x83c6069d, 0x72be66f5, 0x1e330b62,
+    0x5d1b383f, 0x68b0cd6a, 0xfaef92c2, 0xf04114e2, 0x900e1510, 0x71c0f25f, 0x00aa7bf3, 0x7419ed84,
+    0x9c377e77, 0x676839b0, 0x72a58e44, 0x48bcbbf7, 0x324a1fae, 0x4c7d6fcd, 0xab8a8434, 0xebef11fd,
+    0x5be57cbf, 0xd30cb5c9, 0x9206d00f, 0x914ff4a7, 0x5cadf16a, 0x3f9bfa0b, 0x9ce29d70, 0xaf7d078f,
+    0x642ca39f, 0xaf7a8059, 0xb7806b8c, 0x27c5fdfb, 0xfa103f62, 0xab080a9f, 0x134af883, 0xe46677cf,
+    0x47ecb5b9, 0xf05a7f3d, 0xea11d032, 0x43ebc280, 0x375bd008, 0x6512f771, 0xcad12df0, 0xf70cbd22,
+    0x3fdb24fb, 0x0075d58c, 0xaea48f1b, 0xcbcd89c3, 0xe9ec06f7, 0xa1833dee, 0x7fcc9cd2, 0xb85334ea,
+    0xcd4b3768, 0xb69a3f67, 0xfe28e7d4, 0x73b2162b, 0x4dd80d37, 0xfe948b92, 0xacf39f5f, 0x5ec8f984,
+    0xe2102082, 0x761dbcf7, 0x04b8c921, 0x5b90cebd, 0x5ce19f63, 0xf696e379, 0x8fe86a29, 0xd8625479,
+    0x07830815, 0xc27c1816, 0x78bc5d84, 0x8ddadbb8, 0x4745d940, 0x68a8062c, 0x324d7e95, 0x4bac4e8a,
+    0x29d51b09, 0x7022b383, 0x1bf5c337, 0xa65882e4, 0x2969e8a0, 0xa183e810, 0x418f625d, 0x2e59963e,
+    0xab405a45, 0xcb8c6f40, 0xfe4c56c4, 0x9ef86c6e, 0x8ebda871, 0x45fe0242, 0x40119b35, 0x8edaab80,
+    0x61cd2ed8, 0x7fb6cad8, 0x3ab0ebbf, 0x2b163d71, 0x6a461600, 0x6807c3ce, 0x0a7c96ba, 0x6d5cce73,
+    0x1a43da68, 0x04dbf435, 0x8c67127c, 0x43a6f898, 0x769b3479, 0x0d26e345, 0x47a56b23, 0xe2f58651,
+    0xcecd0f14, 0x8872cac4, 0x86e3d80b, 0x72697a08, 0xd90109e1, 0x498bf826, 0xf03419fa, 0x8c280724,
+    0x728ae6eb, 0x78717850, 0xa65170e8, 0x6c2fcf37, 0x8e5b9b98, 0x88d09fdc, 0xcb5a75f4, 0xef87327f,
+    0x8abb0d22, 0x4adf314f, 0xba58cdc5, 0x9a355117, 0x71023070, 0x0aee34d3, 0xef63b724, 0xade4b311,
+    0xca8aab8b, 0x741e1ca5, 0xc629c47c, 0xf40a3fb4, 0x32c52f94, 0x3ac460bd, 0xdb7881d1, 0x57975b18,
+    0xe324f461, 0x13a5f498, 0xd01dbebb, 0x9bf53803, 0x41dba528, 0xdd8a6a0b, 0x9d6bc893, 0x61be73ef,
+    0x418e47a9, 0x44d6ffe4, 0x17696c7d, 0xbcafcc0d, 0x71420127, 0x10576c9c, 0x2bb9d68c, 0x0ca04679,
+    0x3933b2da, 0x4cb6a727, 0x3d044563, 0x0fe5773f, 0x92d15536, 0x6c15209b, 0x889f2f6a, 0x0d7ab1c5,
+    0xe91bcb1c, 0xf632e60e, 0xbab82493, 0xb9abcadd, 0xe498988a, 0x8e0fbf00, 0x9e84bd75, 0x253c8e81,
+    0x0cf8259a, 0xbdbb76ea, 0x18d6b363, 0x81f04429, 0x39883a11, 0xd62eba07, 0x06d36f0b, 0xc6cbfeed,
+    0xbc9a85d8, 0x6e40bbc7, 0x80e925a3, 0x7517a893, 0x1f7ef9e8, 0x0362a76e, 0xa2f1838c, 0xee5fec73,
+    0xecaca419, 0x21cf8818, 0x925affb2, 0x82c06c46, 0x66693b60, 0x48619148, 0x0c51f5a8, 0x6c99ae60,
+    0xd96d6a11, 0x89a190e6, 0x9d27cb3e, 0x441a283e, 0x6910742c, 0x29d02ff0, 0xf97ee12b, 0xcf6d61c0,
+    0xdab6a8c2, 0x29b8efd3, 0x07b5111f, 0xe135d14b, 0x5b49a728, 0x73c6abd7, 0xdd72e0d5, 0x13cdfb9e,
+    0x308a7a19, 0x7aeb9c7c, 0x082651ec, 0x56e1c057, 0x04f171ae, 0x078708aa, 0xd32e6091, 0xcd877abb,
+    0x908a65e5, 0xeeb59b01, 0xe115da59, 0x95e8429b, 0x5198b912, 0xf8d7148a, 0xc549fc3f, 0x9585452a,
+    0x06fb16a6, 0xc44ab258, 0x458bd46a, 0xd2e70c38, 0xb38ff184, 0x29356701, 0xc4e20e4b, 0x0dc90168,
+    0x09c4e2e7, 0xe08d5f1a, 0xd673375f, 0x415767be, 0x291fc8d4, 0x5a878bce, 0x31bfa486, 0x727d2810,
+    0xa3e82e94, 0xf3b93d83, 0x7b764095, 0x140e1b78, 0xf6f4ba4e, 0xe6259593, 0x6fdb6f5f, 0x91797606,
+    0xc5f1c0d4, 0xa0e0a25c, 0x9f6357ad, 0x59696f68, 0x7193bff1, 0xa4b36717, 0x38a30fe0, 0x64aacc14,
+    0x31db44c2, 0xf3904eee, 0xa4760c00, 0xba981199, 0x938ca683, 0xf5f95c01, 0x2df273ac, 0xc90661f6,
+    0x30a0f6d4, 0x99b051f3, 0x4bd4c0f8, 0x5e69d12e, 0xdb4376e0, 0xd128203d, 0x3d6f6c40, 0x3b101a80,
+    0x812b9d0e, 0x315e94db, 0x26f460a2, 0x593004f1, 0x2d81199e, 0xbd54eaa7, 0x6e58ed84, 0x1619f6d5,
+    0x6e3eec72, 0x5436b939, 0x23b2c9e2, 0xf9b73f86, 0x41d735b1, 0x246f4a26, 0x30788562, 0x06ee809d,
+    0xc57a65ad, 0xee77c01c, 0x6a7cfe06, 0x04c95663, 0xfd8b8c3d, 0x02b26565, 0x8f13382d, 0xd4d9c973,
+    0xe19d0767, 0xbb83e3c1, 0x2b2dcc3f, 0xb9a43990, 0x679903b4, 0x4f956a03, 0xd7dcdaca, 0x2f7bea5e,
+    0x5f251fad, 0x0bcf3b55, 0x48324029, 0x5cef7edb, 0x59844092, 0x77cab5b9, 0x4be1ec55, 0x3b70044f,
+    0x9932a5c7, 0x0ebbed51, 0x0280208c, 0x5f1db96e, 0xec4e6054, 0xeeb92217, 0xb570405a, 0x44bd6268,
+    0x67f2e0db, 0x35f18c46, 0xa15acebe, 0x8f1ea224, 0x5613db34, 0xa787693f, 0xa64745ef, 0x4da524bf,
+    0x7b7688ed, 0xb38f5268, 0x0cfe1e32, 0xf542795a, 0x66e3cf94, 0x59c5edbf, 0x2f67378c, 0x57d75e3f,
+    0x8ed97434, 0xb5199438, 0x3b2c563d, 0x84556105, 0xa317106d, 0x4af9f822, 0x0dda513b, 0xc3814670,
+    0x9f53fe6c, 0xec1dd5af, 0xa35db50a, 0x9170f71d, 0x97919cf4, 0x220a2842, 0xd8ee826e, 0x4670a539,
+    0xbbdea749, 0x3247c4f4, 0xbc9856b8, 0x9080f322, 0x1b027adb, 0x349cbb1b, 0x344e6064, 0x5a3d1a70,
+    0xf2e81642, 0xb412f443, 0xa8b00310, 0xca9fd488, 0x36ee1f2d, 0x63de933f, 0xc5eaac23, 0x2eac22a1,
+    0xf2230481, 0xca0471df, 0xef6bc318, 0xcdb70074, 0x33647e07, 0x1c41ae79, 0x0da2f6e1, 0x5061ee9d,
+    0x547878d6, 0xcef1f2ee, 0x43a3e8ed, 0x3e59f7b8, 0xdeb91613, 0x808cb548, 0x03362f0a, 0xfef88871,
+    0x37da4295, 0xfbc20027, 0x0554044b, 0x570d3a82, 0x2c9ab608, 0x61038e1e, 0x36804e26, 0xa13cb615,
+    0xee91bebe, 0x6e24dd4e, 0x9186e694, 0xbfa81881, 0x4806acee, 0x6c171d13, 0x99ddf68d, 0x007189e8,
+    0x65e4375e, 0x428985ab, 0xd78aa5dc, 0xc7db97d1, 0x08a78b3c, 0x8fcabe01, 0x076bd526, 0xe824a2b8,
+    0xd3d746bd, 0x481ac3c7, 0xe5bc1c4a, 0x4f8e786e, 0x767e114c, 0x0952c8d3, 0x161344ad, 0xa6ffbefc,
+    0xed742d2f, 0xae06433f, 0xc3b5be56, 0xe8874766, 0xf265b89b, 0xc449fff9, 0x06f2c590, 0xf352f846,
+    0x93845772, 0x02e2d23a, 0xcec63ffd, 0xed1695d2, 0x0763d4d9, 0x0abe6c16, 0x83196137, 0xd7cbc466,
+    0x16d99022, 0xc07f087f, 0x7edd3083, 0x9798a8a2, 0x84f7d6ae, 0xe46c623f, 0x6efe7720, 0x75c78d24,
+    0xa34dcd58, 0x485a14e9, 0x81b5602d, 0xe24cf7f5, 0x4119f500, 0x9918e338, 0xaf2e5f12, 0x2332c479,
+    0xacdbada5, 0x714600ac, 0x214ed802, 0x8ae86d77, 0x70902f43, 0xa0103922, 0x8841b7af, 0xff94cf1d,
+    0x66529287, 0xbedf44cb, 0x0a7863e6, 0x4a3a2bea, 0xa0b52ef4, 0xaae8b815, 0xe44898ee, 0x5ab2d98f,
+    0x5631a68e, 0xe8db544f, 0x3ebca5ce, 0x86db834f, 0x33c299f7, 0xbb8a8f11, 0x37958460, 0x3535ebd1,
+    0xc04c58f0, 0x3d915d5a, 0xf4b4200d, 0x8e12fe74, 0xc0339b19, 0xb078b15b, 0x546d7eda, 0x7cf38607,
+    0xf256ac4c, 0x16061453, 0x49f2b6a7, 0xd969405c, 0x53759bd8, 0x348011bf, 0x3fe865d5, 0x24c37a5a,
+    0x8f4ccae1, 0xc30c0f36, 0xa878b2fa, 0xf3c7d1b6, 0xf74b1e95, 0x0b0df1e1, 0x2f7f0e32, 0x3f2b4ba5,
+    0x17a16a47, 0xce356328, 0x7495bfa0, 0x71456435, 0x1a957a29, 0x6f585129, 0x54d23775, 0xbaca1d2a,
+    0x3eb9bba6, 0x0d704467, 0xd70c59f3, 0x3d6c5983, 0x3905d46f, 0xa5ee60f1, 0x722d1386, 0x710ed4cd,
+    0x5fdefcbd, 0x6ec0ab33, 0x9e332c24, 0xd03cf1d4, 0xae116a2f, 0xafbc5fbb, 0x252eabe3, 0x43d1066e,
+    0xa2c1088b, 0x42f08fc4, 0x7a45a3ea, 0x32440e5f, 0x04d646ed, 0x7eeab8a0, 0x72f2c1d9, 0xaa71cd8e,
+    0x74abe049, 0xf6fbbb8c, 0x48f6d951, 0x568b17b9, 0x1380388f, 0xc0b6e5af, 0xdd8aa0ec, 0x501b864a,
+    0x7e22d80a, 0x2b504281, 0x9217dd78, 0xb7a00ab5, 0x4b25d9a6, 0x814c12c8, 0x35d7fdf7, 0xe441bb40,
+    0x6caa6fc0, 0xbce9b2b8, 0xcdce7b5b, 0x921021ac, 0x2c12eaaf, 0x7bae2afa, 0x41f0e3f8, 0x302549e2,
+    0xfa3c2892, 0x9fd50570, 0xb6a5458b, 0x9a33783d, 0xfde6cd01, 0x821c068b, 0xcfe52752, 0x19621ba0,
+    0x417f9a1f, 0xd55e7684, 0x69324473, 0xbf53b1b7, 0xfbeb7690, 0x7437f342, 0x05a1e1b6, 0xcce64e7d,
+    0xe50b028f, 0x6cf50c9e, 0xf8b39177, 0xe23fbca2, 0x9eba17ca, 0xa91803ef, 0x21f4ea28, 0xf18dd284,
+    0x53212659, 0xde1251ba, 0x31c4a213, 0x119ed3a5, 0x7087e894, 0x2c2dc95a, 0x1f93203e, 0x5f715cb2,
+    0x6967431a, 0x921e750a, 0x6505f539, 0x05a12a57, 0xa82135dd, 0xea7c7ead, 0x1e1f3889, 0x032ecc84,
+    0x9d503894, 0xf4def19e, 0x209a6b77, 0x85beab31, 0xf525f417, 0x45dba8a0, 0x3a7948cd, 0xa3e46548,
+    0x1a502311, 0xbde3a5b7, 0xe5230d81, 0xcd6aad6e, 0x9b999c94, 0xf06192e7, 0xa220f949, 0x21f1ee8c,
+    0x13b3ec65, 0x979f78ad, 0x359e4899, 0xb7e3bd2c, 0xde2e66e9, 0xadde8c17, 0x65354fe0, 0xd8ba9a8a,
+    0x6ed20655, 0xa06cb945, 0xe135038e, 0xfb9c6514, 0x670639e8, 0xf6afd202, 0xf06a754b, 0xc4ecd249,
+    0xb8672bf1, 0x5f2c1f7c, 0x4755644b, 0x3da8e504, 0x58953776, 0x298d81de, 0x0ebc198f, 0xae8ead13,
+    0xcd2ffd33, 0x0916fd66, 0xc3da4ee1, 0x91b2025c, 0x0dc97947, 0xc7d585dc, 0xf063b873, 0xc253547f,
+    0x890e3d45, 0x29ce4d03, 0x1900f62d, 0xfae9db26, 0x9b2eecc1, 0xe1f009d0, 0x55a9b859, 0xb426394b,
+    0xec8623dd, 0x1ee15dcb, 0x0b3f4117, 0x9f15d8ab, 0xcc6756c4, 0x91673f47, 0x8a44039f, 0x68fea05e,
+    0xa5534e1e, 0xc50cfc15, 0xfd151c9d, 0xd0c9ec86, 0x5a44bf6a, 0x02825334, 0x08f26492, 0xf5f460f8,
+    0x3354aa4c, 0xf9b6a408, 0xe2a4bb59, 0x9697c8a9, 0x8eb9273a, 0x98616838, 0xe7b48419, 0x640d9fe4,
+    0x67ceb79c, 0x3bb12f8a, 0x2bc18caa, 0xe8a1b8cf, 0x0b426096, 0xb16a24a0, 0x0698faf8, 0x723ac1d7,
+    0x02b6489b, 0x4bd2e40b, 0xba098f1d, 0x5b3e38cf, 0xe9d3a20a, 0x79c85ee7, 0x69bf0740, 0x3356ff54,
+    0xfaf42586, 0x5e0db792, 0xcc77378d, 0x6a292f67, 0x0d8856d5, 0xd89bdad5, 0x72c981bd, 0xa7ecdc0d,
+    0x071264e5, 0x3bea7171, 0x27237f41, 0xcc958120, 0xb54df32a, 0xc7b304eb, 0xca0621df, 0xa1d8a22e,
+    0xf7e335f3, 0xba89d0c3, 0x36c6f18e, 0x0a62905f, 0xe8abff11, 0x81a6515d, 0x95e2c2f5, 0xd0ba9a85,
+    0x24f98c25, 0xb0eeff96, 0xb7068ee1, 0x46d2fde8, 0xd23af14d, 0xae6bde49, 0x9eb92b1d, 0x13418a88,
+    0x2877c9d9, 0xa2a1cab7, 0xe4aaaa42, 0x3fd3a43a, 0x60845faf, 0xc66b1132, 0x0a999762, 0x434deabc,
+    0x8abe913b, 0xea42396c, 0x486d5f39, 0xd8aad564, 0x91e16a23, 0xcf557c04, 0x9c9c5aba, 0xb37e34bc,
+    0xe13ed478, 0x665066bb, 0x029e6ac8, 0x50b1db01, 0x856201b5, 0xa7868a00, 0xe676b6f8, 0x69420e3a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000102844034832575377634685573909834406561420991602098741459288064 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e426, 0x2958b723,
+    0x00000000,
+    0xcaaee012, 0x095d4b54, 0xb9d0c4bb, 0x8d3d801f, 0x86be3e13, 0x443a820b, 0xe9f462bb, 0x0e65f050,
+    0x9397c56e, 0x767ec4c6, 0x85e77e4d, 0x4970d4fc, 0xbb2b35a0, 0x1ede3efa, 0x2cba8cf6, 0x76b79252,
+    0x72a9ff6c, 0xe49bd386, 0x9427c763, 0xd792a337, 0x4602800f, 0xbaf68c55, 0xa7c12dcf, 0x67ae1066,
+    0xf7d89a58, 0xb57d5e40, 0xfdef19c8, 0x783671ec, 0x2aa4a821, 0xf5e9cf76, 0xa9277ff1, 0xf148cf4f,
+    0x6e26f88a, 0xc76e6ffa, 0x2ae5dbc8, 0xe5b5ccd7, 0xa3c1148b, 0xa678b5c6, 0x03c37d4f, 0xc6c69650,
+    0x20fc0fbc, 0x09114a87, 0x9e4239b3, 0x07cacdf9, 0x5897f8ee, 0xdff06798, 0x8f3209e4, 0x9eac9359,
+    0xde8ae399, 0x8771fe91, 0xcff2e4fd, 0x3c36596d, 0x376da4dc, 0xbce33863, 0x0f3e5ada, 0x036fca94,
+    0xcc535575, 0xca3e9a20, 0xc56c279c, 0x9bf5cb13, 0x57dddac1, 0x0503262f, 0xd2ef9578, 0x0157658e,
+    0x4cf1e98d, 0x01dd559b, 0x6a5061d0, 0xd669a846, 0x40578c64, 0x23a5440e, 0x9eec8135, 0xdd8395bd,
+    0x412e74fd, 0x70a20207, 0xa886b929, 0x1162537d, 0x3aca8f73, 0x6e39a725, 0x5d627dcc, 0x4ff0f180,
+    0x55aab04f, 0x3915cb04, 0x568a8dc9, 0x4b89945e, 0x76f5da57, 0x2f2f3c7f, 0xeb9d7054, 0x2366847c,
+    0xe0ef7b0f, 0xa2d0b70c, 0xa635bcad, 0xffcb69aa, 0x37430f42, 0x9d1b86ce, 0xcd6fe129, 0x9de00370,
+    0x5fb61b5a, 0x22277300, 0xf6ba92fc, 0x4a18d29e, 0xa6bb6009, 0x6cff0a4b, 0xf2719a86, 0x9eca9f92,
+    0x2ae69480, 0x3032cde0, 0xc08d32ce, 0xae3d6d0c, 0x119cb689, 0x7f6360ad, 0x8907dad5, 0x28466b45,
+    0x0abd7536, 0x36e3507f, 0x7654450d, 0xc58d9e50, 0x7f161c21, 0xef3e2923, 0xb605c209, 0xb20ccb02,
+    0x38aed190, 0xd54aa018, 0xcb1a19c1, 0xdec814c0, 0xf6ea9221, 0x64f26999, 0x7412279a, 0x2c06b13f,
+    0xf6941641, 0xae1d9078, 0xf288f806, 0xca2db762, 0xf517b885, 0x7cfc23bb, 0xe451cbd1, 0x8a5f7a07,
+    0x398151a6, 0x3058a016, 0x26c65370, 0xe15b1200, 0x3f202fb9, 0x78d20dc2, 0x4c3245de, 0xdf36d072,
+    0x30d17078, 0xcfb4a48a, 0xe3e41ebc, 0x392973f5, 0x48f8db94, 0xed6587a8, 0x7a960a06, 0x93926122,
+    0xc49d9d46, 0xe6af8178, 0x13716983, 0x3319ea67, 0x09531e45, 0xcadec30c, 0xe3859178, 0xed4d4304,
+    0x489dcced, 0xecd9a786, 0x763d81df, 0xedb63206, 0x55c712f2, 0x2d17f6af, 0xd34f1647, 0x8f5789b3,
+    0xb78c0bff, 0x0f1cb2d9, 0x91e18261, 0x703a7862, 0xacc5de94, 0x1a507c83, 0xb8e4e836, 0xe83c7099,
+    0x717135f0, 0x6a532ca9, 0xd620f9dd, 0x4fe94f28, 0x4c491be9, 0xbddd95ae, 0xa0795c1d, 0x1ae2d028,
+    0xa5d74042, 0x16a53dd0, 0xcd745bbb, 0xec4cd8b2, 0x68d5a568, 0x37720a1b, 0x5db870f2, 0xc3d5946b,
+    0x574255b0, 0x7c6fdcff, 0x4dcbffa0, 0x3833bb07, 0xbb661ac6, 0xadb42d73, 0x38fd07a1, 0x83b5e5aa,
+    0xbd5f16fd, 0x0e21d65a, 0x0b320293, 0x3d455ee6, 0xb63ce1cf, 0x4e987ecd, 0xe857c39e, 0xcb7140c5,
+    0xd2a5444c, 0x26c81a28, 0x0ea3a8c4, 0x77424387, 0x603ad8d9, 0xca14ebc2, 0xd8b74862, 0xcde431d5,
+    0xc1a88851, 0x60e6c04c, 0xb90c6eba, 0xf5b4e897, 0x5b238350, 0x35f521e2, 0x3b3c9d34, 0xd9ebe961,
+    0xf30f3bc9, 0x91d2ff56, 0x1d2e988d, 0x4f8a5396, 0x299b0232, 0x8ea29705, 0x2d5d1076, 0x3953a407,
+    0x213d5b17, 0x66929812, 0x3c82b483, 0xcff2749d, 0xdcd6b223, 0xd48904c2, 0x8492f701, 0x35f13547,
+    0x35f555e2, 0x0b53ab30, 0xb164d68e, 0x0d3b9404, 0x67521aea, 0x9aee32b9, 0x7d8e22b6, 0x31f999b3,
+    0x82bd8074, 0xab83eeec, 0x54e18c03, 0xe0d3ea50, 0xbc4d47b4, 0xcb365cac, 0x2a90f3a8, 0x4a0e24ac,
+    0x7cc22699, 0xcdc09376, 0xaef53b71, 0x043e1b0b, 0x618027bb, 0x425defac, 0x025e7502, 0xde0f7d6a,
+    0x89bf93d5, 0x54a4dc65, 0x3c952f61, 0xf022a9fe, 0x8c732f6a, 0x60383464, 0xa339b3f3, 0x948c0247,
+    0x174f0f92, 0xb0d9bc3a, 0x3dd5c593, 0x73c804d8, 0x160b7d87, 0x97b12fe6, 0xfc9c4b6b, 0xb28d1179,
+    0xa24cebb0, 0xce7e9f48, 0xad5b348e, 0x2b27acb8, 0x653fc4ea, 0x9f39aeec, 0x8097fc67, 0xf7ddc36a,
+    0xe78ff311, 0x613b60c0, 0xc928eafd, 0x55d2d3cc, 0x16838722, 0xf93320f5, 0x34b9bd00, 0x5ffd0b50,
+    0x9d6af54d, 0xe5443638, 0xee3ff467, 0xa6a1bb58, 0x14385f19, 0x7cc6d254, 0x312696dd, 0x0fbd0b45,
+    0x86d0c42f, 0x76effe80, 0x67556891, 0x46dba4db, 0x0e3d0058, 0x851c9f71, 0xfcec7c9f, 0xc482fac5,
+    0xdd929ce5, 0x23c1a1e5, 0x33cb3fc0, 0x45ce0a5e, 0x6e1ff0a7, 0x95b02bfb, 0xc0cbd1a0, 0x5b511e04,
+    0xf7782043, 0x686bf931, 0x97da2d5b, 0x8a669ad9, 0x104c2601, 0x5b059ea1, 0x80ae0a75, 0xf0b9d4a0,
+    0x48c87d5e, 0xdaae9eee, 0x4160d7fb, 0x9e77167f, 0x6a1cf5c3, 0x4469bc5f, 0x434eaece, 0x8f6d3391,
+    0xf48cc9aa, 0xfbb736d3, 0x3a211441, 0x62c51f02, 0x32a1e520, 0xb49c7a1b, 0xdc38c5fc, 0x2cbd6a6e,
+    0x464b6e80, 0xdb498ff4, 0x695040f2, 0x454aebf4, 0x2a363922, 0x36b86d12, 0xc1c6b415, 0x5ead214d,
+    0xbb3a23d4, 0xa6e46393, 0x404af479, 0x01429820, 0x9b2e2f5f, 0x83d50b52, 0x061f1d8b, 0xaaafe875,
+    0xe0a2bb48, 0xb2634bfb, 0xc9975dfc, 0xac5aac6d, 0x18839ae6, 0x51642888, 0x1dc34fa5, 0xe86b338f,
+    0x11a50056, 0xaac64404, 0x2bbfb643, 0x72cb0ef9, 0x3e483ad5, 0x171c5db1, 0xfc3ccd63, 0x7ecf0c22,
+    0x9204f68e, 0xb778e7e8, 0x2321c053, 0xf48e85f7, 0x3a3ab4fe, 0x859265b8, 0x01858c97, 0xc417f4d6,
+    0x282226dc, 0x85609338, 0xfbaad6aa, 0x197f481d, 0x27a702f4, 0xe6a27981, 0x392b9823, 0x432dc942,
+    0x9ecc1df7, 0x646d4bd2, 0xa73d2d91, 0x447e3742, 0x85ed2fb9, 0x0d4750dc, 0x7452bf1d, 0xf3ae8c8e,
+    0x786cdd1e, 0x4a59fbae, 0x66e85f09, 0x06b01ed2, 0xe5c9d730, 0x11f6dbc7, 0x20fc305d, 0x90c38bc9,
+    0x13d11156, 0xf0a6653b, 0x9b644eb8, 0xa3aaff0c, 0xcbe4c9a7, 0x85a0ff66, 0x70df23c8, 0xb45381dd,
+    0xc816ac60, 0x6ca563c1, 0x508ce692, 0x34c8c477, 0x447f681b, 0x7c72e5f4, 0x2fef17c9, 0x406b130f,
+    0x74e9a76f, 0x0e652777, 0x859fda56, 0x34fbadcf, 0x56d7fa90, 0xd3e84431, 0x0b06b2d0, 0x574d1978,
+    0xbc814826, 0xc9be8a62, 0x4eb0a6b0, 0x2b6a0bde, 0xf76e5f85, 0x38d17041, 0x70836b3d, 0xd157fc9b,
+    0x0a6d182b, 0x6cf1cd72, 0x830634fd, 0xb2002dff, 0x5041a6da, 0x228f9da8, 0x668534ee, 0xbbe5b5d0,
+    0x6440e32b, 0x7565ddd1, 0x5c71d79f, 0xb3563259, 0xf135d74e, 0xfd9a5d55, 0xfa27161a, 0x8cc19e9d,
+    0xb956ab16, 0x05065325, 0x939bc906, 0x1230740c, 0x7eab0b8a, 0xcafca362, 0x259adf15, 0xdbc78ded,
+    0x2ea98e15, 0x34b8ffaa, 0xa3d29349, 0x2eb2f0e0, 0x7c0f4d14, 0x6800d63f, 0xf092de5a, 0x38b02b4c,
+    0xb94c8644, 0x0f91fc6e, 0xae3b7165, 0x4ff22246, 0x76dcae1f, 0x52d166f6, 0xbda85bdb, 0x1b9f713d,
+    0xb9302c2b, 0xe1f0e0c9, 0x5bd03a46, 0x2f5ab593, 0xb62eb812, 0xceb442bf, 0x7e123abe, 0x9ea94f04,
+    0x82c68b64, 0xc9072af4, 0xda6e2bc1, 0x7cac5050, 0xccd8fcc1, 0x982a2a04, 0x7a659b23, 0xb31b71cf,
+    0xf5286904, 0xc875a9d5, 0xab8abc3e, 0x8935aa10, 0x71413c16, 0xb358260c, 0x7eae3b54, 0x72487d01,
+    0x90d57e0e, 0x4447c661, 0xcd0cc819, 0xc4ebfb64, 0xa067f472, 0xc573e4c9, 0x3b381b17, 0x9f77e45b,
+    0x274cea3e, 0x61cfee0f, 0xf2cf52ca, 0x5cdda49a, 0x1caf4b6e, 0x126d374c, 0x7e51047e, 0x71afdeff,
+    0xb16718dc, 0x2f4be15a, 0x33488a25, 0x8d94353f, 0x373e05a3, 0xea466d04, 0x32f38120, 0x78540951,
+    0x7effccff, 0x69161c92, 0x2089ebe7, 0x2458eff2, 0xb40467a2, 0xe72b2c77, 0x179bdd33, 0x784a1a05,
+    0x3ef6cacf, 0x952942cf, 0xdff2e5f7, 0x0db57766, 0x097c0403, 0x653c7714, 0xd1d26130, 0x103e95d7,
+    0x001325b7, 0xd7cd0e51, 0xbbd39df0, 0xdfa69772, 0x17a45eb2, 0x1320521c, 0xac307940, 0x49ec12de,
+    0x2f9179e6, 0x45f9be77, 0x76d5a99d, 0xf55f5ca9, 0xf5781819, 0x4d3df812, 0xdfccf6fb, 0x86e98839,
+    0x12a658b9, 0x682fc246, 0xc99ff5c7, 0x9848d730, 0x004705d9, 0x412fc913, 0xc231a6ca, 0xa104143a,
+    0xaf538c8d, 0x6a2ce56b, 0x2bc91e2d, 0xabe521a2, 0x4705ba22, 0xdb8acce9, 0x2d514bd8, 0x16cd87f5,
+    0x4766600c, 0x7a594a66, 0x6dae6fdd, 0x08d2bccd, 0x114fadc9, 0xddc24e0a, 0x1fc0017e, 0x71f996ad,
+    0x2c7abd15, 0x595dbc37, 0xeeed10cf, 0x7ff1fc84, 0xa8bd20dc, 0x1a20c915, 0x675292a5, 0xccd66e50,
+    0xd42c2e61, 0xffc167ef, 0x451ff6e9, 0xb1ef0efe, 0x24287139, 0x4cc4dbae, 0x700ff14c, 0xc430de2e,
+    0x2b3cc8aa, 0xc1aba23d, 0x817fb33a, 0x0b736736, 0xa6be8070, 0xf7c1530b, 0x59c8b6fb, 0x2b62395a,
+    0x57a81778, 0x02a0fd8f, 0x4981d384, 0x0346e50d, 0xbb70d42d, 0x88682f26, 0xdcbfcdd3, 0xb068f6b0,
+    0x86995cb0, 0xc4487d1a, 0x851421b2, 0xbb486b51, 0x9b4aaabb, 0xc5e33311, 0x4da50bbc, 0xc5ba1af5,
+    0xeaebd563, 0xc3c2c177, 0x544219b1, 0x9b2088f6, 0x7c83efb5, 0x3ef1c5b5, 0xc0b2a422, 0xcc77c660,
+    0x7a826c13, 0xf8a1bfa6, 0xf064cd9b, 0x87835152, 0x9580cc40, 0x4a7810f8, 0x14ca5c26, 0x7fa1130f,
+    0x92f65c0a, 0x26951522, 0xe618e09c, 0x02c2c530, 0xc9aad675, 0x10872569, 0x1ed9fb6f, 0x8837377c,
+    0x31688964, 0x542d0863, 0xca9a1352, 0xac8cc247, 0x69cc22ab, 0x52d05327, 0x1dffb2b4, 0x6e2d1945,
+    0xeb3113a7, 0x5ba72b9d, 0x767995cf, 0x700db896, 0x9228b983, 0x635379d9, 0x3cd7566a, 0xf6ba96b4,
+    0x261fd63b, 0x3d32eabd, 0x1eee437d, 0xc0ec1f17, 0x880c8c94, 0xf9df55f7, 0x2f4c8d9f, 0x732ee35d,
+    0x204ea6c4, 0xdea90a5c, 0xbccd2da3, 0x06e18866, 0x7dbcbd74, 0x0cb346c8, 0x785e6421, 0x392e3865,
+    0x08fc1bf6, 0xe95aeb8f, 0x5452c4f6, 0xc69346ea, 0x15200738, 0x2127ae76, 0xccbfd345, 0x98bd3203,
+    0xa54dd685, 0xf5934418, 0xe5c84677, 0x8d5c9998, 0x7dc1bd6a, 0xf01e0af8, 0x1119bed3, 0x38c33818,
+    0x2f40371e, 0xe129b416, 0x2b3bacb8, 0x48d8e367, 0x1281259b, 0xa2312bc4, 0x3664bfc0, 0xd4bde7de,
+    0x6e056039, 0xb929d3d7, 0xe5a0635a, 0x110a7777, 0xb0523975, 0xdd4d2c33, 0xf487a9cb, 0xd3bac98a,
+    0x01b92ce3, 0x0f08d72c, 0xb8cc50d1, 0x0eeb108c, 0xd6a8c843, 0x40fcc9bc, 0x43c3848a, 0xc7032742,
+    0x740ba485, 0xe132b8da, 0xad82663d, 0x72af8cc4, 0x0863bf0e, 0x25deaa01, 0x3f2c99cd, 0xd51199ca,
+    0x0fe38564, 0x591083b5, 0x16abd980, 0x12cf6c74, 0xc10e9cae, 0xcdcabc55, 0x7a01ab10, 0x5e55ff2a,
+    0xb5b4fdbd, 0xf423f1bd, 0xce9a3bc1, 0xbeaff87a, 0xad831ba5, 0xbe62deef, 0x8c27ab95, 0xc6e81675,
+    0x2e2c9901, 0x73420e26, 0x51158460, 0xc3ef7243, 0x12fbf347, 0x338f69df, 0x9be7889d, 0xad2b40b1,
+    0x5f7e9168, 0x19693cdf, 0x072057f2, 0xbf67bc42, 0x7ae80131, 0x1d296c1e, 0x69254707, 0x68abb889,
+    0xd8221030, 0x8ebfa168, 0x3ac08352, 0x070ccf2b, 0x76bb34c5, 0xea0b5f31, 0xdde671d8, 0xd9d04276,
+    0x431ce202, 0xc70a8049, 0x6050e75d, 0xbc7fbc10, 0x52fd3434, 0x376e2c57, 0xea55061f, 0xd7780576,
+    0x812b753f, 0xea92dfbd, 0x861a5a0c, 0x84b65a68, 0x24e891f3, 0xecfc7daf, 0x9fd15da6, 0xd3593c58,
+    0x94ea81ae, 0x9f53a9b5, 0xbb6523f0, 0x9f26241e, 0x386370e7, 0x01f7199f, 0x8c7c52f2, 0x5e07fbc8,
+    0x4d270505, 0x4c1193a5, 0xe9e0abd0, 0xe4d036ff, 0x97c6de25, 0x4ba1a5da, 0x086971aa, 0x9da11d40,
+    0x0d9f76ee, 0x02c4cb8f, 0x13c36ed2, 0xe9125524, 0x93da825f, 0x84de82b9, 0x5d98d14e, 0xaffe111f,
+    0xa1556fcc, 0x8ce429fd, 0x55f25cc4, 0xe9416778, 0x09d1e2ad, 0x07025ea4, 0xfed249d7, 0x49b356c0,
+    0x4ab7f893, 0xe4a9c1dd, 0x48b7ffeb, 0x8842dda9, 0x5bf2e68d, 0x0bbdbbbd, 0x021b5a6a, 0x617cecc6,
+    0x6d24c35d, 0x99d250b9, 0x0288b280, 0xae2e8a82, 0xfb7d93d0, 0xed9ae2bf, 0x948c8e19, 0x3e7bb102,
+    0x25dd9a54, 0xea3e0093, 0x4a5da872, 0x155a9088, 0x9da3b0da, 0xfba420d3, 0xb0f83c78, 0x67e2c001,
+    0x88a2e1cf, 0xfe5a3deb, 0x4cbfcf78, 0x6a45df9b, 0xfefa3708, 0x1c7b0299, 0xfc26f882, 0xcfa56104,
+    0x0ee05405, 0xb2a58958, 0x5218c796, 0xc923299c, 0x2bed8a61, 0x8645cf38, 0x5bcb5714, 0x2b6c0797,
+    0x8038bb82, 0x34b4b47d, 0xfaf9840e, 0x2cb9255a, 0x51642699, 0xc76d7f2a, 0x3e4046ca, 0xbd60f6d8,
+    0x00288164, 0xefcbbf04, 0xded67a73, 0x24a944b7, 0xfb2e5751, 0x0c0bafea, 0x74c72155, 0xff64640e,
+    0xd4352097, 0x18e4543e, 0xaf11583d, 0x5df18092, 0x90aeb82f, 0xe142c84b, 0x114f068a, 0x86815df1,
+    0x0b90baca, 0x3da81eb6, 0x54ad29c3, 0x78cdf9f0, 0xae0b6f52, 0x4fb12377, 0x7c24c3ee, 0x74931f7c,
+    0xb9fd0102, 0x7121f6fd, 0x61136996, 0x2b9a5d90, 0xc8698e7a, 0xd2d6aa59, 0x1a2b28ac, 0xd50edf75,
+    0xa541dc83, 0xf76f8ffe, 0xde16e018, 0xe9af017a, 0x2b980849, 0xda46c2ec, 0x07baa255, 0x146c5268,
+    0x9ccc4970, 0x770a35f9, 0x087e308e, 0x3ae96506, 0x7ba20e6f, 0xca5fcff5, 0xc6b1cd3e, 0x6fab4c7c,
+    0x8df1cbbf, 0xd0b0b21f, 0xe92d0d71, 0xa7516f00, 0xf89b9839, 0xc12c58c3, 0x8162d17a, 0x446a3837,
+    0x4fe4a7a6, 0xecbe0e9d, 0xb97bda94, 0xc7e4626e, 0x2c3b8d58, 0x57da20f7, 0x3c426671, 0xd9210576,
+    0x136f25f6, 0x79537366, 0x22b88545, 0x8f19c451, 0xa7a99eef, 0xc51c71e0, 0x105e67fa, 0x8bb3f45a,
+    0x37edbf31, 0x4d124c0e, 0xeb440bcd, 0xc7534719, 0xab0e764f, 0xaab3161d, 0x0038b851, 0x651d1a18,
+    0xbe2b0e12, 0xe4005447, 0xdf664db9, 0x7f468a1f, 0x36353961, 0x1c0e2f98, 0xd1e7071c, 0x7e895269,
+    0x3c667d48, 0x70498625, 0xa6636738, 0xe6e2ce7e, 0x7dab5ca2, 0xf95df3c4, 0x040743f0, 0x44f530fb,
+    0x1d1e1886, 0x04d89881, 0x43d3aa2f, 0x18ed3011, 0x093c794e, 0xb2d01595, 0xa2994f5d, 0x7442b6a6,
+    0xb07c0506, 0xc962a32e, 0x70268f91, 0x99e0f5a4, 0xe23fdf75, 0xcb3054f2, 0xa33e7b02, 0x01f187cc,
+    0x90a969f9, 0x7dea00af, 0x00948467, 0xdac4def2, 0xb877b27a, 0xf7bce241, 0x01a110ac, 0x22ae8b58,
+    0xfd9cf01b, 0xf8455638, 0x06dc3622, 0xc88e49db, 0xf4ae3024, 0x01bdb513, 0xbafe0e99, 0x29a0fda7,
+    0x3d7b141f, 0xcabfbc88, 0x6f820948, 0xa8e46193, 0xb32effb4, 0x7ff0152f, 0x401d33be, 0xdafc8bee,
+    0x18f10662, 0x7eccbc1c, 0x3ed341a5, 0x278ea6a1, 0x5beba3a0, 0x4d6c6b3a, 0x071871c6, 0x5802a0b7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000051422017416287688817342786954917203280710495801049370729644032 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807213, 0x14ac5b91,
+    0x00000000,
+    0xa111d5b2, 0xd5802b47, 0x58586ab3, 0x59885aa6, 0x6e94638d, 0x5bcc9fe8, 0x9f0b0440, 0xc80cf17c,
+    0xad6493d8, 0xa9b5297e, 0x469d7f02, 0xfdfc3426, 0x9bbdffbb, 0x36eaeda0, 0x7b9f8979, 0xdfeb59e7,
+    0xe04fd0e4, 0xae5f1580, 0xac31204e, 0xec177b87, 0x2f65134b, 0x5ce3de26, 0x7f33adb9, 0x4843a82c,
+    0xb2c14b7e, 0x1cbd68d1, 0x2305f7b9, 0x43ef2962, 0x36a2ab3e, 0x3315cffa, 0xa163c599, 0xa98c5faa,
+    0x63afdc87, 0x034b8cfd, 0xa241f21a, 0xa4c666cf, 0xd78bf63e, 0xdd2174fc, 0xe4ee76b6, 0x3b04bfd4,
+    0x15cecfb5, 0x3e1ba04b, 0x1181d1ba, 0x8c67cda1, 0xa359af60, 0x30bb5678, 0xffb2ec17, 0xf1d4aaff,
+    0xe852cfef, 0x5e07ff9f, 0x90a270c7, 0x4e1ebacb, 0xc7620425, 0x7ef6f7ae, 0x9ef2e905, 0x5710a157,
+    0xa5e9f7fc, 0x7ae9b425, 0x1b03e904, 0x953d2225, 0x6ddbdffe, 0x0140779d, 0x4210168e, 0x68b3a865,
+    0x38a517c8, 0xa783e6c3, 0x50bc9b07, 0xd820a91f, 0xfb6e2fa9, 0x3c8427fc, 0x2b573356, 0xed78ff16,
+    0xb7c77959, 0xe6331346, 0xea73e195, 0x9940425b, 0xd7de49b4, 0xc3c3051f, 0x3951a0f0, 0x6e565ce3,
+    0xc03d390a, 0x81b8a894, 0x7428a757, 0x9f348c2a, 0x5d2c5b65, 0x9fce06c7, 0xe2f2bdf6, 0x99d2fe23,
+    0xc6b90af6, 0xf7d075bb, 0xa9545747, 0xc216a81a, 0xb3c43a13, 0xec0a91a3, 0x9e52625c, 0xada8104d,
+    0xc4bd86a8, 0x1c4a5aa5, 0x08ed76c4, 0x234ff2c9, 0xf6c730a1, 0x4d45feed, 0xfdd0defd, 0xb04bc050,
+    0x3c179c80, 0x973798c8, 0x19900978, 0x09c71de6, 0x063b8c40, 0x5b9ba771, 0x0a28f37a, 0x31a45942,
+    0xb3796224, 0x90a3aaee, 0xdb3491ab, 0x66fe6853, 0x180324c8, 0x71e6fef5, 0xef621c3f, 0x40f4076f,
+    0x17fbdea2, 0xf3272ce4, 0xe1cf2a19, 0xd70cf016, 0x850bfe45, 0x71cf09b7, 0x1a2c822f, 0x6e241ce1,
+    0xf3eed6c1, 0x0bb6e59d, 0xda0241a8, 0xab422798, 0x40424d95, 0x00f19359, 0x86ba7c17, 0xb60e06f4,
+    0x85d86a5f, 0xc11a3980, 0x1d35279f, 0x6e26d221, 0xc9cbf420, 0x793f35ab, 0xe93c9279, 0xb2928a86,
+    0x33cc9dcc, 0x3d44b844, 0xf2d72b25, 0xcb8ae362, 0xecd5293a, 0x897ac29e, 0x770311d9, 0x81aea798,
+    0x2988990f, 0x00830e8f, 0x73a9d903, 0xf7f938c7, 0xe93ef4e6, 0xad74c380, 0x8e3502db, 0x26bc1387,
+    0x8e5f10dc, 0x23850fe3, 0x0eabcab2, 0x8d84bab4, 0xa8c0fc61, 0xabc65dad, 0x36112312, 0x98b6bf9b,
+    0xa987af69, 0x42987194, 0xe9833b11, 0x05877445, 0x20aae623, 0xe2706965, 0xf1255dab, 0xdf412df9,
+    0x0ee6d2b7, 0xf78dca04, 0xf40f2724, 0xfc6e7679, 0xf0fbdfc3, 0xd53c574e, 0x6cb14fb3, 0x4a93a8a2,
+    0x0c054cca, 0xfd6083d2, 0xacbe7bb9, 0x0c530278, 0x6c1d3a87, 0x1d1e254e, 0x67bacc64, 0xfd0d401b,
+    0x344a83fa, 0xdc618e44, 0x67ddd8ae, 0x9dc1b5f7, 0xdadc73f9, 0xc0d2d5d3, 0x671800df, 0x46e06449,
+    0x721532f3, 0xdc8fe7ab, 0x82857083, 0x4b55ac8c, 0x1ece214b, 0x2f64fc3a, 0x7f8c25c5, 0x8b082224,
+    0x2e0fd219, 0x9da193fb, 0x58cc3530, 0xeb81c71e, 0x3aaeda74, 0x10159c62, 0xb9ecb552, 0x8d7dc0ab,
+    0x0bc9f690, 0x03989a50, 0xca6abb46, 0x8b069b93, 0x9e833735, 0xf019b780, 0x880b7b1f, 0x9da4e2a1,
+    0x9abb0a19, 0x45b2d326, 0xe2927e20, 0xb282e27f, 0x361cec55, 0xbfdb2172, 0xcd0b34eb, 0x92d1b4b1,
+    0x4772ce2d, 0x63d9436c, 0xaee94cf9, 0x8444f29d, 0x37537b3d, 0x3bfe37f2, 0xad1ef2d5, 0x54c8a521,
+    0x1da7e7c2, 0x6605b9aa, 0x250e5e05, 0x332fa22d, 0x937bb0fd, 0xedda50ee, 0x74c20ca1, 0x79ab6d5b,
+    0x91867d8a, 0x04bfcb32, 0x0478ea6d, 0x409a191b, 0xe9bc8f83, 0xbb609fe8, 0xd32dfa38, 0x22e51b37,
+    0xe04c5f79, 0xfee31692, 0xc72500cf, 0xb43b6c82, 0xaba1daaf, 0x6d23872f, 0x51555359, 0x4f15f282,
+    0x201957af, 0x3fbf2b2d, 0xb3554b87, 0x457e6089, 0x5c7ccd2e, 0x38de737a, 0x7c22a805, 0x01caacb6,
+    0x0e112d66, 0xe2630e3e, 0x6f5f13a5, 0x20c283fa, 0xb8f0446b, 0x25fc6a4b, 0x6a059d29, 0xde43b2f0,
+    0x251c42f3, 0xd4760129, 0xcf02c6a6, 0x3e06e8a9, 0xa1a1faaf, 0xd782ef5c, 0x7eebfe78, 0x3fcf2a84,
+    0xe1630d46, 0xa820fddb, 0x22aab7e2, 0xbebb2c6b, 0x6a0a8425, 0x926e8365, 0xa58f465a, 0xdf571472,
+    0x72937c82, 0x01cbf77b, 0x9d94684a, 0x75afd1e6, 0xff47c25d, 0x830c7be3, 0xbdec618b, 0xd2a8ed6d,
+    0xdb5c2f96, 0xfe155eb8, 0x955a9c26, 0x1c0f6305, 0xb88812e8, 0xbecaa5b8, 0x4fe05034, 0xe21a52a9,
+    0x1570b34d, 0x2ac424b2, 0xebe4c949, 0x49e5386b, 0xb6fe80d5, 0x56b81f53, 0x010227b1, 0x53ca50dd,
+    0x19862645, 0x59a3394c, 0xbbd4d97a, 0x354d7388, 0x1d8687bf, 0x9056905e, 0x9fa8456a, 0x8cd84244,
+    0xfecb454a, 0xdee53dbf, 0xba75085c, 0xad9a7fe1, 0xc9343d0c, 0xbe9e60af, 0xb64724ac, 0x18a105c8,
+    0x443e9bd5, 0x3c4f256b, 0xd89179bd, 0xa74e63f0, 0x7b81f42c, 0x3797b093, 0x7004c4b7, 0x5960ccfe,
+    0x5007b4a4, 0xf75e00cc, 0x9e66ac5e, 0xddd8d190, 0xfea09939, 0x51db34a7, 0xce3c6d75, 0xccee463d,
+    0x2ec86069, 0xa51da027, 0x007c3dd1, 0xa1d7bdbe, 0x81a035b6, 0x4b3e02b1, 0x44397060, 0x19db162d,
+    0x65f6ae29, 0x2a54883e, 0x60efbbf4, 0xc403ea10, 0x97fd7bd6, 0x474e480b, 0xbf777ba2, 0x8e5ad710,
+    0x5b572d5f, 0x2a6b1975, 0x8018a185, 0x5cd3cf5d, 0x0dfc1808, 0xfcafb837, 0xb5583251, 0xcad4b942,
+    0xb8a9e5f8, 0x93d3907e, 0x3dc82230, 0x488f2e75, 0xc1fe5ad6, 0xc890e233, 0x4d6fbe3a, 0xd8f739d8,
+    0xd626e6aa, 0x95961835, 0xbc9266b3, 0xadb3b353, 0x2b383484, 0xd2766195, 0x289171fa, 0xa7fb2da3,
+    0xe566fb37, 0xf40355cf, 0x953e1c71, 0x782dfae5, 0x66335696, 0xc4ad90f7, 0xe442577a, 0x7dba1705,
+    0x2d6acb9a, 0xa4d461d2, 0x5e0a967e, 0x7eb715b4, 0x51f22716, 0x931d4208, 0x522138b7, 0xa3f4172b,
+    0x09c7d073, 0x32e8ca8f, 0xd87560cc, 0x6b79408e, 0x5e2551af, 0xbe53dfdb, 0x9f899305, 0x9f4b7061,
+    0x9fadc7c3, 0x8754f901, 0xd5b2c2a4, 0x253cddd0, 0x88a2bd6b, 0xcae1a444, 0xb49392bb, 0x4c9d95f2,
+    0x4b9dac35, 0xedc3728c, 0x61838284, 0x2c7239ea, 0x959ae54c, 0x0ccbcceb, 0xd0476e27, 0xaf5500f3,
+    0xf7c772c0, 0x60698977, 0x596ea1fb, 0xc0a45b3d, 0xc0b82ffc, 0xfb5c18ac, 0x09a7e5ac, 0x5fd82ea9,
+    0xdfe704c0, 0xa2126e1f, 0xfda9d863, 0x4f366d5f, 0xfdfca387, 0x54a61146, 0x0f8f366d, 0x74cd9af1,
+    0xb281e702, 0x9409f934, 0x397fe46d, 0x89915657, 0x8141431c, 0x7f7de77b, 0xbadb8bf0, 0xe265e274,
+    0x59eefd7c, 0xce8cb5bb, 0x5daa4c25, 0x5b4be0d2, 0xc657b3cd, 0xaa7d28d0, 0x10213a3a, 0x73098e5b,
+    0x061d8e4a, 0x96e6b959, 0xe4bec9c0, 0x1eed12b7, 0x9e5e6735, 0x6e776770, 0x1e55659b, 0x11f1dd82,
+    0x7a63d880, 0x1f3503e2, 0x6e73b73e, 0x5256374a, 0x4dfe7c4c, 0x4560b574, 0xfb7772df, 0x9f54e58c,
+    0x9c4db0f5, 0x47bbed0a, 0x90151576, 0xe297bdfd, 0xdf0e05d0, 0xe0ac09ee, 0x92f30033, 0x8b578899,
+    0x279ef394, 0x47f3894e, 0x2aad1188, 0x7cf5488a, 0xfa1bc7ad, 0x22e1479a, 0x2ed150fa, 0x4a183078,
+    0x4b9968b5, 0x74650b0e, 0x7bd22f73, 0xa8022de0, 0x7a95cf34, 0x55f4812b, 0x0df4a07d, 0x4e0d1bcd,
+    0x59882bcf, 0xf69861b9, 0x179dc37c, 0x32d42b18, 0x84b9a4f3, 0xc18e5e20, 0x42058b59, 0x99b87b1e,
+    0xbfe97111, 0x4f38b92f, 0x0f7c5729, 0xd197cda5, 0xae2ab9e2, 0x65b2c587, 0x4d40f5a0, 0xc13c482d,
+    0x4c71623c, 0xc74968f5, 0xea58ebdf, 0x8cb75b19, 0x0873c1a9, 0xafa7688c, 0x68ee2480, 0x910372af,
+    0x0fb87327, 0x7b5c23f2, 0xad0fb6f6, 0xcfda1975, 0x1b8b24ae, 0xa42d7d74, 0x77ffe09a, 0x8edda66d,
+    0x17c4c18c, 0xa49b23dd, 0xf494648b, 0xe5bcc2af, 0x2d935481, 0xd5ed1f64, 0x9753bd95, 0xd5d0189a,
+    0x034e38a5, 0x402508ed, 0x1bb831ff, 0x74af1a09, 0x547f7ab5, 0x401bc614, 0x9b3f838c, 0xb8f61ad3,
+    0xc987b3f2, 0x250706b2, 0x1a1766eb, 0x68e43e13, 0xed4ee475, 0x6b973a5e, 0x6ef3d187, 0xc542f925,
+    0xbb6ef299, 0x909cb52a, 0xa81fcbe9, 0x464c7d63, 0x891193b6, 0x07a593a1, 0x805541b6, 0xd81c9648,
+    0xbd792de2, 0xd8b884a7, 0xb398a8ab, 0xe89ffdb3, 0x753de720, 0x16acd41d, 0x71e763f1, 0x77968a5f,
+    0x403f009c, 0x482da9e3, 0x377ba2cf, 0x8614dc87, 0x74ddda6e, 0xcb660bdc, 0xb7047641, 0x8a729b72,
+    0xd6dfe0c4, 0xe2696884, 0x23ad7d68, 0xe65f7110, 0x862a1f97, 0x8529727e, 0xef7aade1, 0x28cfc1bd,
+    0x0e98861f, 0x86d1ea1c, 0x0f981c76, 0x616afe35, 0x4a0fb2ca, 0x1011eab4, 0x50e434ce, 0x8cc45821,
+    0xa2c69484, 0xfcbea842, 0xd0a9b934, 0xb2f7d0b4, 0xb165fb69, 0x50ca4c03, 0x7548ca2a, 0xc98d9caf,
+    0xdabe33bf, 0x6c382e1e, 0xb2a17c2f, 0xf7f34320, 0x6d3370b1, 0x7a1e3cea, 0xb899b91e, 0xc0747ce8,
+    0x956fc581, 0x5990c894, 0x3a9c248c, 0x3fe7ba6f, 0xc2e6e32d, 0x08c6d67c, 0xc0effb3b, 0x2c49a779,
+    0x61c0de45, 0x7812901f, 0x89abd694, 0x3642cc07, 0xb54400f5, 0x09405615, 0x2a13d98a, 0x5ef891b3,
+    0xff33ea32, 0xeb3a6d51, 0x4d9ac745, 0xd5f6263c, 0x454e57b7, 0xb65422f7, 0x2231a86a, 0x2b312146,
+    0x0aa790c4, 0x6b8bfd8d, 0xec161853, 0xcf9c41c0, 0x57b64a87, 0x9c241f1a, 0xafb5ba0b, 0x9a1ab118,
+    0x3c29d8d9, 0x55cb3e89, 0x22a55de1, 0x7a8f94f9, 0xf0281337, 0x23ce0a0d, 0x05db5873, 0xb0e8f81c,
+    0xfe32c3ff, 0xa5d66613, 0xd370bc7d, 0x4974485b, 0xe78d142d, 0x3a5541ab, 0x8874eaff, 0x0ce912e8,
+    0x084d5104, 0x35e4b060, 0x6b896f91, 0xa210afad, 0x264c910d, 0xfadbbc66, 0x4322f0f7, 0x5662a69c,
+    0x507c12c9, 0x107f00e6, 0x065a1967, 0x551985b2, 0x2c8872f5, 0xed9de0f5, 0xa135c1fe, 0x97da326e,
+    0xe7eda0b5, 0xf3bce220, 0xd5659ebf, 0xbadd5a05, 0x267e91fb, 0x998fd04f, 0xf7cceb8b, 0xf6a2428e,
+    0xa667a475, 0xaa4a83c0, 0x7b2ca3ea, 0x24358e2b, 0x70f65951, 0xdbac049a, 0x31229321, 0x41ef2f7e,
+    0x17e07ecd, 0xd3976ca0, 0x9f2bef26, 0x830bf070, 0xbbdd565c, 0x9aed2e96, 0xf2e1b5c0, 0x6a785aa4,
+    0xde0e45fd, 0x783a500e, 0x956e6de6, 0x245917e8, 0x5c46d025, 0xab0d36cb, 0xfd9e33a4, 0xa1e8a19a,
+    0x71aaf465, 0x0cf8060a, 0x44c5690e, 0x3cbf62ee, 0xce9903b1, 0x04169bbe, 0xa3a3108e, 0x60e63ffc,
+    0xeb6a5700, 0x3bf1772e, 0x0be54877, 0xe6430374, 0xc98f469e, 0xd1b0bf6b, 0xf1b6acbd, 0x967037ee,
+    0x38544763, 0xa175094b, 0x7abf830b, 0x8bc95caa, 0x9ddfa8f4, 0xd8cd7058, 0x4d021d48, 0x66c10a6a,
+    0x12d88a94, 0x56c7bdc9, 0xd07e1ac5, 0xea5c2483, 0xc5e60383, 0x12261e52, 0x2688e197, 0x41f15b2a,
+    0xfb00d185, 0xfd2f9bcf, 0x3fd511a2, 0x28ba0352, 0xd0cc477b, 0x83359548, 0x9b930778, 0x5d106502,
+    0x3e061558, 0x17c53578, 0x1608cca5, 0xa8bc0703, 0xf752c0e6, 0x82662db5, 0xbe74deb6, 0xc1aedd02,
+    0xebb55d6f, 0xf611214c, 0xe871a0fd, 0x68f12a46, 0x5dfa43c7, 0x3dc3211a, 0x5bf9917b, 0x23fcfac9,
+    0xb9d32fb6, 0x53fc4613, 0x7eca33f8, 0x9cf5e3c0, 0xcfa5adf9, 0xe4878dab, 0x60e1c676, 0x616e29c9,
+    0xe8d84f30, 0x3321ac10, 0xf543d9bf, 0x31220c09, 0x656be158, 0xa6284902, 0x2d4e1c2a, 0x12f93ab1,
+    0x04049058, 0xaa63622f, 0x3b386871, 0xbb1da56d, 0x810b6074, 0x1c1ace31, 0x435f8193, 0x0c141fa8,
+    0x9fb2d862, 0x04943c04, 0x6fd792fc, 0x4c8dce06, 0x0dcfe0f8, 0x760229b3, 0x1218336d, 0x9ba92659,
+    0xb86e50fe, 0x63a43dc1, 0xa2294ecb, 0xb9bc8a8d, 0x4568652a, 0xebbb2b54, 0x3e585551, 0xbe21089d,
+    0xe877ec46, 0xec9577f1, 0x77cd5399, 0x5eb649d5, 0x9e53714d, 0xf7e0716a, 0xf89485f8, 0x632a1156,
+    0xa2e137ed, 0x09871a1c, 0x3ad8e72a, 0xaac16de2, 0xdd1e5999, 0x52454999, 0xa7f88192, 0xa657b971,
+    0x3ba1442a, 0xf4362650, 0x98ecbc79, 0x4efb101c, 0x78e45fe5, 0x61f1b6f7, 0x96c93a94, 0x0fad24ea,
+    0xae264b87, 0x292982d6, 0xa3ec5cbc, 0x8da4554a, 0x17106c71, 0x467fc3b3, 0xfe5dba50, 0x817ee0c4,
+    0xe6506e4f, 0xc6f8b2b4, 0x9958d5b7, 0x91ce2ec0, 0xff6292b3, 0x06d0604e, 0xb70341bc, 0xdaa2a8cc,
+    0xc7d8ad9f, 0xfcb8386e, 0x9500d19b, 0xb690f49b, 0xef780010, 0x57716cec, 0xd89b16b0, 0x9a37ccb3,
+    0xb4794d0b, 0xba394a2a, 0xd340d9eb, 0xfc1b3f82, 0xd1298676, 0x7bc6debf, 0x5c0d6af0, 0x94db3f30,
+    0xc2c4fa90, 0x4b9ba0eb, 0x83feddaa, 0xd86253fa, 0x1c06e0ce, 0xe78a943b, 0x9317b14a, 0xe0e25430,
+    0xb2193f9c, 0xeab63e0c, 0x788b8a22, 0xfda05864, 0xec3c8a3b, 0xeb762cf7, 0x37bff5cb, 0x4a17919f,
+    0x63a362ba, 0x29cdb549, 0x327e4b02, 0xe3023405, 0x41387c55, 0x9636b2cc, 0x659bfa55, 0x34c7b155,
+    0x4d8b553a, 0x6c9e2466, 0xdc940711, 0xa87de051, 0x171bf5de, 0x3b71dfbf, 0x3fbc4d83, 0x1454d5f8,
+    0xc4064c7e, 0x6eb98bd5, 0xf278e96b, 0x7fc6f822, 0xaed0acfb, 0x3d446065, 0xc82e2ab7, 0xf3a712f1,
+    0x31d788dd, 0x1cb7f149, 0x61139098, 0xd25c096c, 0x9099e01d, 0xac372b8f, 0x756027de, 0xd00b5789,
+    0xa626934e, 0xfe842b6b, 0x370ed6bb, 0x0599041a, 0x4f6ec57d, 0xcf729a07, 0xdbd31d8f, 0x3bf2dae1,
+    0xe681c467, 0x1f12e80a, 0x7981cc8e, 0xee37784f, 0x2798c9cf, 0xdc7919ce, 0x7bc9a535, 0xc3863768,
+    0xeca2a336, 0x854e4570, 0xb883e2ae, 0x1b8770a1, 0xe18810b6, 0xbeae2da8, 0x846fb3d7, 0x5b77e94a,
+    0x001664fa, 0xf4a0e2ff, 0x9beae5fe, 0xb74588c2, 0x87b19ef3, 0x654d9c4e, 0x64b80e9f, 0xc3090ad9,
+    0xbcc4afed, 0xdd437033, 0xd20f76b9, 0x7108fd11, 0xd1357da4, 0x1ab190e6, 0x628ad62b, 0x4862f74d,
+    0x319cc5ff, 0x1bc4b856, 0x8805eb23, 0xaac2f1ae, 0x5fbe2bc7, 0x1906b7a7, 0xaa12adf8, 0x7493e1cf,
+    0x384e1a2a, 0x8cd99ba3, 0x0981fb6e, 0x9b0eee79, 0x8b6da326, 0xb89418db, 0x6a1359b8, 0xa8a73961,
+    0xfc630726, 0x402f5480, 0x109b458b, 0x99eb346f, 0xef3d6ca4, 0x9ef9c224, 0x434681f2, 0x8a122138,
+    0x54999df5, 0x179d9627, 0xa78fad8d, 0x59bc426e, 0x7e7bbe9c, 0xd2080461, 0x53a45b3a, 0xacc0e0df,
+    0xb96c22ff, 0x3365a674, 0xef64e625, 0xcfd486e4, 0x0527479e, 0x852dcbca, 0x2efed98e, 0xc08a1fb2,
+    0x2b0c43fe, 0x4a25d275, 0x63a22d8f, 0x811c792c, 0x0bfe11cb, 0x40da0f17, 0xf0a02c35, 0xe5e19dba,
+    0x4ce8f5c5, 0xdd8694b2, 0xe1a976d5, 0xd9a70ec1, 0x0e756f94, 0x5c0be02e, 0xee54ffcd, 0x1d93842a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000025711008708143844408671393477458601640355247900524685364822016 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403909, 0x8a562dc8,
+    0x00000000,
+    0x8f95ff12, 0x5a9e758f, 0x76b2edcf, 0x3794fb93, 0xcdceae8c, 0xf2b770f9, 0xa90ceb37, 0x3994e3f9,
+    0xfd8c9cbd, 0x7bc7e09e, 0x2b645c12, 0x56eaf293, 0xa49eab07, 0xaf7d59d2, 0x1cf814a7, 0x5fc63cca,
+    0xe14361aa, 0xbf2f4cb6, 0xc3e19179, 0x12c3a726, 0xe4768eb7, 0x352585db, 0xecf68a20, 0x7348a6e9,
+    0x0f1d1943, 0x3f25eef5, 0x81779a59, 0x5790f99f, 0x2f9b7d86, 0x8858593a, 0x1f3ad365, 0xbdfb15c8,
+    0x32c23148, 0x02d3cbed, 0xe7b3eea3, 0xad372266, 0x62de2e61, 0x70d663c2, 0xb42470d3, 0xe54f91cc,
+    0x4999a134, 0x0ec42f60, 0x918278ef, 0x13111be0, 0x5f9ceef9, 0xeda256f9, 0xe44d6a0a, 0x62dc9a13,
+    0xd2971b67, 0x2bf05364, 0x70cad8e3, 0x84ba731a, 0xd5e08ac6, 0x6d9b8f0e, 0xa535e8ef, 0xbea8a363,
+    0xaae16cb5, 0x311d9eb1, 0xd131a242, 0x75732d32, 0xc3a1771b, 0x5c6a22a4, 0x3cc216cc, 0x9e614fce,
+    0xa45abe06, 0x149579cb, 0x763f738a, 0x00d16d59, 0x26e9ea19, 0xc7a63d35, 0xc3383117, 0xc687f80b,
+    0x86eb9fa5, 0x031ea43d, 0xf3a70438, 0x1c3188d7, 0x0e074be3, 0xc30c344b, 0x2bca7a8b, 0x50a8db26,
+    0xfb4f1846, 0xdcbc7fa4, 0xec5eaa7d, 0x73ffaed6, 0x04618406, 0x58def679, 0x2f2dee0a, 0x5b0a1ddd,
+    0xc0ff21ec, 0x480743d2, 0xf910134f, 0xc1c674d7, 0x2e7a3ad9, 0x6e0735ac, 0x598f17e2, 0xcfd05d26,
+    0xe9bb4484, 0xae8eeddb, 0xec7486a6, 0xaa4e7bfe, 0xc8bc54a8, 0x31e90650, 0x0bd01139, 0xc8a35aac,
+    0x2d5675f4, 0xef2bcb8e, 0xc4e25b5a, 0xae3bb8b7, 0x146f9737, 0x34899320, 0xbd90423a, 0x1f5d565e,
+    0x951470c6, 0xa6598ee3, 0x4181caec, 0xbe309383, 0x8c13984b, 0x158cde8b, 0x0ee3cbc5, 0x8e19c249,
+    0xd3a481a8, 0x510528e4, 0xc17b3c49, 0xa2f74e7a, 0x8a71a861, 0x1000473c, 0x4bd89dd7, 0xa97dafd3,
+    0x3a5ad04f, 0x6794061d, 0x7309a79e, 0xdc9ba2a6, 0xa1497a6c, 0xda9ba06c, 0xada4f052, 0xcc4bb036,
+    0x230fbd0c, 0xb594f32c, 0x3a348e60, 0x427478a2, 0x453cbcc4, 0x17b1b88e, 0xd35add8f, 0x81820bd7,
+    0x076c2621, 0x0f49bc5d, 0xa5d76b6a, 0x32af6f69, 0x16bcf9ca, 0x10a729be, 0x68955f39, 0x3f57cafb,
+    0x6aa74e8e, 0xc4809b17, 0xcd1dc804, 0x1d10ccc0, 0xc1a005ee, 0x05df8360, 0x10389695, 0x4604b398,
+    0x04ef844a, 0xefb4ef6f, 0x822e7b3a, 0x1d117b53, 0x3628510a, 0x0e982279, 0x91bf0129, 0x3bc4a21c,
+    0x3d6e4eb3, 0x3c040515, 0x2644ee5c, 0x2e46d5f2, 0xf78fc3cb, 0x3f3d8a74, 0xe6fbd2be, 0xd7af2acf,
+    0x2797610e, 0x6e4f1ab3, 0xbca147f6, 0xb6a9579b, 0x7f66394f, 0x74ab84c0, 0xa20655b0, 0x3ad6947b,
+    0x0bf16481, 0xeedcf5c4, 0x9d4cbede, 0x527143d7, 0x6c118903, 0x093dcade, 0x8b10b031, 0xa755aa2b,
+    0x4a52aa4b, 0xcb526b22, 0xfa7c698e, 0x6047da1f, 0x9e081541, 0xad275097, 0x85713e30, 0xc9b4d07b,
+    0x9e8249f9, 0x249cc112, 0xbf797fa1, 0x1538d1b3, 0xd06f9295, 0x8011597d, 0xe4d4269b, 0x252c0ece,
+    0x186f90d4, 0xb64b7602, 0x324e8250, 0xc58cc097, 0x1d3d36ec, 0xdcaf53a3, 0x323bdf1e, 0xe9810d35,
+    0x9672a712, 0x2efa2eae, 0x71079e3f, 0xf8202fbd, 0x3fa21407, 0xd727182d, 0x2d8b1c59, 0x94debe1b,
+    0x6c29e1a8, 0x18437db9, 0xad36df53, 0x47fb9dec, 0xfb95afa1, 0xfd8c4181, 0x7114334b, 0x8cd38cc8,
+    0x1e934c18, 0xb6840e1e, 0x43786dbf, 0xa44c6bbe, 0x6a6efc54, 0x49e6a9b7, 0xe4bc54b2, 0xe26c6915,
+    0x27fdb5c4, 0xbca8a4f8, 0xf394f023, 0x0aa49178, 0x6ebba2e0, 0xbe475dc8, 0x098f439d, 0xc0e7a03d,
+    0x83aabe7a, 0x8444e9f0, 0xfecd0ffe, 0xce079dd5, 0x1f6f4a0b, 0x0ebd8866, 0x7e3fa039, 0xe5c26f9c,
+    0xa0a99602, 0x48ffcf0a, 0x60249df2, 0x1ad29b0a, 0xee86c3cb, 0x9547b04e, 0x4f5422fb, 0x2711748c,
+    0x6a2b3866, 0xe4d7069b, 0xdfd6859c, 0xfe2d47fa, 0x6e06960f, 0xef034468, 0x76b2e734, 0xbe664aef,
+    0x1950418a, 0x7da6c1e1, 0x572a6e6b, 0x9aebcafe, 0xc7829901, 0xc0b97539, 0x286e6268, 0xffadadee,
+    0x68f3d409, 0x4699e05d, 0x3204a6f7, 0x6b7d1608, 0x11642654, 0xba676c8f, 0xae372240, 0xacb86c2d,
+    0x07fbd1a5, 0x14caf420, 0xfa99ad2f, 0x98a2a91a, 0x4f69fd9b, 0xac7c9a33, 0x11099a25, 0x22e921f7,
+    0x8652eab2, 0x20406ea5, 0xfef11c26, 0x3eb75f53, 0xdd5e10a1, 0x9a60c283, 0x55c2fc38, 0x3dc2e923,
+    0x40fe56df, 0x98954eb2, 0x81570b99, 0x75d319d5, 0xd91381de, 0x535651a8, 0xfa332790, 0x6f59114e,
+    0xc6e3d4cf, 0x118a6251, 0xe862184a, 0x952636bb, 0x3a2a2059, 0x228522e2, 0x164f3ae3, 0x1758b275,
+    0xc710a5cd, 0x7cd495cd, 0xbc5a1219, 0xa8271fea, 0xc338a35c, 0x72db1f7a, 0x13c81e09, 0x56ff4c77,
+    0x7ddf3f8c, 0x6f9c61ed, 0x626e9d15, 0x1d1b3780, 0x8b33c402, 0xe45713bd, 0x6f9adbfc, 0x4b3a62fe,
+    0xa5f7d475, 0xf2a86b5e, 0x1ce1f7a3, 0xb8cc2e2c, 0x54fcbed7, 0x888561ee, 0xf32d0771, 0x1eb4df12,
+    0x8f33fda4, 0x840a1b60, 0x4e592ebf, 0xbb81e96c, 0xc3c7ce31, 0xcf6312e8, 0xd8438dee, 0xe3bc5a60,
+    0x132c3850, 0xb1546b8d, 0x6bd7de5e, 0xd97b1137, 0x03b3cd3d, 0xe0c8590b, 0xa98e432b, 0x37f5e934,
+    0x65612898, 0x73cd7698, 0xb4ab9258, 0x01cc069c, 0x75915b2d, 0x29f81845, 0xf53dd888, 0x5b38b172,
+    0x14a9fdd6, 0x0f6542b6, 0x0ac394ce, 0xfd4fa2ab, 0x9a11243d, 0x7af82ae9, 0xf207999e, 0x784df23a,
+    0xd6bdee35, 0xb594b8c5, 0xde631fb0, 0x27f55f7b, 0x529a0014, 0x540be0aa, 0x6cad7bbe, 0x8adb3926,
+    0x013c7e5a, 0x18d3cfb3, 0x1cbb5d3c, 0xcf4661af, 0xb1bdb6cc, 0xbdb23cac, 0x238dda38, 0x324297f1,
+    0xc972700a, 0x7af4e997, 0xb78008f2, 0xc620e441, 0x35f02f42, 0xd6a99f98, 0xb304dbd6, 0x4f073a20,
+    0xcfa388fc, 0xe483e81a, 0x34feb1db, 0x7c7ba458, 0xd97df2ed, 0x72f7f765, 0x6289057d, 0x7cb91d26,
+    0x5b311aa7, 0xec80780e, 0xedfc2307, 0x000cefef, 0x726bd17b, 0x1c561c95, 0x131b4d3e, 0x1519a96f,
+    0x0e9e691f, 0xaebbb9e1, 0x991e7a18, 0x81611a60, 0x36f451f4, 0xaafcf632, 0x301c3aba, 0x8b7a7c54,
+    0x222ec7a4, 0x0e4a315d, 0x3494c569, 0xe20bf536, 0xebfd3643, 0xccce4bc2, 0xb9edd20d, 0xabbd98e9,
+    0x768d4857, 0x8c5b0616, 0xd996f63d, 0xbcb1bd7b, 0xd7e912e0, 0x6bcc5332, 0x99b650f2, 0x700f11e8,
+    0x9b1f780a, 0x5b6c4cf0, 0xd7cb2241, 0x37629758, 0x5dc0dd00, 0xaf7ad45c, 0xfbb848e2, 0x77b96f42,
+    0xc73da006, 0x6e9794c5, 0x9c67fca0, 0xbcb4e77c, 0x89cc7267, 0xf740dead, 0xff87173a, 0x9b8c3f59,
+    0x2eb32d52, 0x0563ac95, 0xde33e834, 0xe3f02949, 0x6abf8937, 0xcae9c912, 0x6bd9c51f, 0xe013f43c,
+    0xbc64e4bc, 0x754e17c7, 0x45499d1e, 0xd4ee2fb3, 0x82c55e33, 0xe5044865, 0xd2dfc527, 0x3995b9ed,
+    0x5863077b, 0x428eaf5e, 0x05c6c3f1, 0x04197762, 0x50f215f6, 0x179665a7, 0xe012a0e3, 0x615f7594,
+    0xcdd044db, 0x22d5ef92, 0x3596c59d, 0x5e398a98, 0x587a8086, 0x9e8101ae, 0x1daaaf7b, 0xa67a0aa3,
+    0xb06f34fe, 0x11cc1892, 0x9710c890, 0xcefbabe2, 0xef7350c5, 0xbfa09ad3, 0x7f0488fb, 0xbbfbc23a,
+    0xc1d8e69b, 0xd00b9503, 0x2bc511e0, 0xbf9ec7c2, 0x74a6da83, 0x8db8bee4, 0xad2c2333, 0x60ce58d2,
+    0x99bc2c4d, 0x14864fb5, 0x4d2424ef, 0x43fa1ca1, 0xd0d8a064, 0x040d61e9, 0xfd3b8aef, 0xa133284b,
+    0xf5906dac, 0xdb3c84d3, 0xd4f84c30, 0xd5861503, 0x51e57322, 0xce07fb93, 0x39ec9600, 0xc28773b5,
+    0x22572ff4, 0x6b7ffec4, 0x6d6e9470, 0x0ba280a2, 0x73164ecd, 0xebcccbd9, 0x4af89dfd, 0x6bd023af,
+    0x17c6952b, 0x93994050, 0x0a0d53ad, 0x72d44831, 0x2b5b61fb, 0x4a653c43, 0x59216976, 0x5426e77a,
+    0x428e88eb, 0x375208bd, 0x5ce494c1, 0x20bb1696, 0x9ec22e8d, 0x180b7b0c, 0x5e8c48df, 0x98923428,
+    0xc89c27b5, 0xabdb1b46, 0xfff03a5d, 0x768cbd42, 0x7f0d2d4f, 0x33a91789, 0x106b659a, 0x6d2a9ff2,
+    0xdb667228, 0x4f1e9f48, 0x7dba0403, 0x6efbf784, 0x4aad5100, 0x8e04500f, 0x85204d00, 0xc28c6351,
+    0x0485fb57, 0x72bd1abf, 0x426fe6dd, 0xacd1afbd, 0x18be2f3e, 0x3c0b5b49, 0x56c41be5, 0x558520cb,
+    0x17607729, 0x0d743ca8, 0xfdf34641, 0x9422827a, 0x2fbae045, 0x17e82310, 0x31cc8df9, 0xb9296098,
+    0x87a4e343, 0x3757c882, 0x5b3caf30, 0x18ff99b3, 0xf1d791e3, 0x02f566bb, 0x176b515b, 0x611444a7,
+    0x150a92a0, 0xc7400cbe, 0x5472f5fd, 0xfb5ca66d, 0x0619fd1e, 0xf74619ea, 0xab220b4d, 0xcc8ae7cf,
+    0x75112850, 0x598c60d6, 0x41f2165d, 0x65288a5d, 0x0502e9ac, 0x28f32ef6, 0xed041096, 0x919b9a22,
+    0x4f225dba, 0x7ba5bbc6, 0x0de9cd75, 0x56dce4ed, 0xaa297767, 0x5b2c60ed, 0x28bc0638, 0xdcf7de6b,
+    0x623aa9da, 0x1a2ed16c, 0xbd7fd097, 0xe9c5d3e5, 0xacd65c62, 0xcf984b49, 0x09c8906c, 0xca88bc40,
+    0x79e4e5fd, 0xee54e30f, 0xf6d4c018, 0xa6cff931, 0xf73dfa50, 0xf445b6f9, 0x942f4a1b, 0xa687f428,
+    0x335a9dab, 0x9980b059, 0xdbe77d7b, 0x8a493da0, 0x4b4a024d, 0x674f541d, 0x20124c7f, 0x430cec15,
+    0x998921c0, 0xa51dcc2e, 0x53c8d68d, 0x651f341b, 0xdf04676c, 0xb5734e77, 0x2d0c5713, 0xc2be2eda,
+    0x2f43bb5e, 0xa259fc15, 0xa7b946b7, 0xf0f4185f, 0xc6662124, 0xe5755cb1, 0x0712dbce, 0x28350282,
+    0xd0bdb52b, 0xdf496f69, 0x36e9c024, 0xc7b4d658, 0xb473acd4, 0x45d7d55b, 0xee537dac, 0x56c6e6db,
+    0xea423675, 0x00aa7190, 0x3fbac3ec, 0x2322f725, 0x6a142bff, 0x4c093641, 0x6ca7ad2a, 0xbc2fd211,
+    0x3e019921, 0x03407699, 0x658dc266, 0x19380869, 0x708fe291, 0xde4547f3, 0xd6f47b22, 0xa2a159e4,
+    0x86606932, 0xa97f0803, 0xa25b1b93, 0x3c32dad9, 0x0fa043f6, 0xe93351df, 0xa113791e, 0x1d631de3,
+    0x9ed404dc, 0x4d4d2b72, 0x684414de, 0x994bc515, 0x4c86f487, 0xaaec31f0, 0xd90be76b, 0x44aea777,
+    0xe0b954b1, 0xd8a1ec83, 0x519bdf12, 0x7fe2e21f, 0x4fdb5076, 0x5806e452, 0x1b12011a, 0x984c7240,
+    0xf73b6235, 0x3144498d, 0x68d8325f, 0xc2947794, 0x1e9a9bd7, 0xadba619e, 0xb59adce5, 0x142da035,
+    0xcab8d708, 0x93cf3e4d, 0x8d9075b8, 0x36a87851, 0x232820e0, 0x7efce5ba, 0xc30cade2, 0x19508b94,
+    0x2bdbecf4, 0x402f638a, 0x2e18c2a8, 0xdbb510b8, 0x4287fec8, 0x35beebd4, 0x41faeeef, 0x95c76c20,
+    0x5d786845, 0xd1aec0a8, 0x1d52495d, 0x05965e5a, 0x66662102, 0x72304b19, 0x65d264b8, 0x9e532def,
+    0x43bdc7a5, 0x99df57fd, 0x48e9ecd1, 0x7d50b726, 0xe5ecefae, 0xdc61c64f, 0x7ab63683, 0xf80c4190,
+    0x6b9e6f03, 0x86d943d2, 0x473c7231, 0xaa3599ed, 0x369e07a0, 0xbd8b85f7, 0x91964e99, 0xe8c2afe8,
+    0x96c14dc6, 0x197435cb, 0xa93add70, 0x278e5455, 0x4c8feb67, 0xd88121cd, 0xbeceb9d7, 0x40669e13,
+    0xce9a9360, 0x4f304812, 0x9a9717ef, 0x030fe1f1, 0x1e57adfb, 0x1a7d0961, 0x372179c1, 0x5cb8ad57,
+    0x70e5df32, 0x7fb9a985, 0x0c17e4bb, 0x730d0a20, 0x4ddc1ecc, 0x15a4b253, 0x65eb9bd9, 0xf6dd3b16,
+    0x235f01a5, 0x04ad22bb, 0xf466a33f, 0x9e2f0860, 0xba1f87a0, 0x506a6042, 0x795a27fe, 0xed107326,
+    0xf089413a, 0x6f05d01e, 0xe9155966, 0x92a6a6e0, 0xd3b6379b, 0x76b80417, 0x047f2a8a, 0x5feb7ee2,
+    0xdd79b0d1, 0xd69dc99c, 0x7738fc41, 0xb9087a84, 0xe2ca94ea, 0x16a35eb6, 0x31a753fd, 0xc4a2f469,
+    0x7e6330e1, 0xf60a9911, 0xe03245ee, 0x6c0b3932, 0x2af98956, 0xca40ecb3, 0x78cc5a94, 0xf480bd3a,
+    0x3bbf6f19, 0xf0e3d5a6, 0xf4840413, 0x76dc7d71, 0x6087cdd8, 0xa04a5af8, 0xd95f1847, 0x790ee66e,
+    0xa3917a26, 0x2e3c6ca8, 0x1fc54c31, 0xd9ae5d98, 0xdf7da6cf, 0x13010215, 0xed22364e, 0x452e47bd,
+    0x15e10927, 0x4a216e15, 0xfc1d0ec4, 0x47a3212e, 0xe080c973, 0x7e4ea63b, 0x872546f6, 0xddc3ee54,
+    0x4b416f66, 0xd48b6073, 0x135628be, 0x87035294, 0x14c310af, 0x99d5a66d, 0x5768a6b3, 0x20d98927,
+    0x1b1a05cb, 0x79a4702f, 0x51b4c79f, 0xc5fa8f65, 0x2e4b381f, 0xf256b87b, 0x502a60ed, 0x00b419ba,
+    0xbabd5782, 0xeec57339, 0x6550b3de, 0xdfc0aa21, 0x1404790d, 0x4a37ded7, 0x9204d27d, 0xf7adf38a,
+    0x8933d5c5, 0xd05b6fc9, 0xfeb342c5, 0x60c0065e, 0x5c07eed4, 0x30e3b6a7, 0xdfb1be63, 0xaff25726,
+    0xbada6fb5, 0x6e4e9c07, 0x4a382952, 0xd924e6c7, 0xb74abcee, 0x3668e4e1, 0x0f8f3b60, 0xa6ecf65b,
+    0x83204fdc, 0x7b5ddeb6, 0xbeb2dbeb, 0x439e7cca, 0xb22ce0c6, 0xe0ca7384, 0x1de890e1, 0xf35547c0,
+    0x54e3157e, 0xa7c2026c, 0xd03fdfed, 0x339f87c8, 0xe06e17e4, 0x4bc077c3, 0xcf563349, 0x6bf10cb1,
+    0xfce3a578, 0x98662873, 0x40e54ad0, 0x75f5a71c, 0x6cd29132, 0x57cf2fd3, 0xdfc4f89c, 0xe50d96b0,
+    0xff824a6a, 0x8a5ad238, 0x8dacdcb2, 0x6b8ac1f4, 0x04e8136a, 0xd8a60169, 0x6c01c343, 0xea738c0c,
+    0xe66b9fc7, 0x94d8c6d9, 0xefacc35a, 0xe5668797, 0x9d3194d7, 0xa756d257, 0xc89592b6, 0x1ce21c2a,
+    0x7970f61c, 0x89e85fa5, 0x32b658c1, 0x00d5b99d, 0x66095e1f, 0xd86aa1ef, 0xf1902ad4, 0x0fddc6d2,
+    0x41311f2c, 0xe16ce0c3, 0x40a8877d, 0x905dda47, 0x57ef0ab2, 0x5138b22f, 0x5feb7754, 0xcc8e1dd5,
+    0x7e195a05, 0x667d9940, 0x7fe74a11, 0x31b36ac9, 0xefe32924, 0x643db4ab, 0x24658bbe, 0xa0572056,
+    0xfa817f01, 0x0fe8767b, 0xed49048f, 0x868cb07e, 0x7b307585, 0x901b5459, 0xdd708382, 0x1875ff9d,
+    0xa4612bee, 0x9361e27c, 0xc7886c20, 0xaf287d1a, 0x479919a5, 0x90ab48d0, 0x03bd2594, 0x7c28dda6,
+    0xffc30b86, 0xc2f512ce, 0xc9adc8fe, 0x89605410, 0x0be95048, 0xc5f8c275, 0x3e53a322, 0x1769f050,
+    0x919459a3, 0x2de112c0, 0x8d7e589b, 0x700a2729, 0xca9845d6, 0x89072fff, 0xa5d122ea, 0x2de68561,
+    0x75b038a5, 0x08de6034, 0xb1d4e631, 0x17ce198f, 0x66aecb42, 0xd5871c6b, 0x25dfd0cc, 0x7c945f27,
+    0x3ddfd358, 0xe03cb906, 0x7903a823, 0x191b2c07, 0x2402357e, 0x3bceb1f7, 0x15838427, 0x9d00bdaa,
+    0xe7776e0b, 0xbe297193, 0x48a6f3c6, 0x49d4614b, 0x867ae0d2, 0x837420ea, 0xbdf7ad47, 0xc68614cc,
+    0xa2bb6a32, 0x486e16b0, 0x0fe96185, 0xcf14099f, 0x7115d329, 0x36449954, 0x6514f729, 0x87570158,
+    0x718ced7b, 0xcc23a18e, 0x55d98d4b, 0x7ee22430, 0x4ad38d0e, 0x58002049, 0x3aecb359, 0xf5e1faff,
+    0x9d9d60a1, 0xc4f0a705, 0xd9aed075, 0x26a97098, 0x47ad6d76, 0x126a061a, 0x2a4f4904, 0x52ac5de4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000012855504354071922204335696738729300820177623950262342682411008 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c84, 0xc52b16e3,
+    0x00000000,
+    0xbfb947b0, 0xb1b3b1ce, 0x656ad356, 0xccd4d6ed, 0xc4914808, 0x5a651b80, 0x31b977f8, 0x0dcd729d,
+    0xfa8db80b, 0xa0c6be70, 0x06b73fb1, 0x2eed2db0, 0x5aed8850, 0x33dedd1a, 0xfb123040, 0x58512db8,
+    0x249a9a81, 0x35613863, 0xf75993bf, 0x0d929ef3, 0x1142ba88, 0xe3f79d42, 0xddc037b6, 0xa2c8f6ad,
+    0x821608e8, 0xf7712036, 0x968180a3, 0xed24165e, 0x44c5d92f, 0x683cd780, 0x9f8c9174, 0x740e9db1,
+    0xb2639fd3, 0xbac8b5be, 0xa1dd57bf, 0x249d5751, 0xc676c900, 0x6b1781ae, 0xab5ea000, 0x12dac288,
+    0x877e0dfd, 0x9d7e473d, 0x5196c232, 0x70fd0747, 0xba573d4c, 0x9124336e, 0xab1240fd, 0xe89d4f0d,
+    0x3488f9c8, 0x8264e1c5, 0x24174f77, 0xbb481235, 0xd0d19956, 0x96b64726, 0x145f5637, 0xadc0ea75,
+    0xadb4ac76, 0xb8013ff7, 0x9bcc17a4, 0xd8655b4b, 0x6e2ebd8d, 0x04407ee0, 0x8a2480ae, 0xd7010ae4,
+    0xb266123e, 0xe7a2e6bf, 0xf0381a0f, 0x67fb8ef5, 0xe5f35889, 0x4dc5d937, 0x8e1652de, 0xc8f92743,
+    0x349e62c4, 0xdfacab13, 0x13454b32, 0xf147dbc1, 0x96ca21e6, 0xc2fc4fac, 0x89ee6aa7, 0x70eb5af4,
+    0xf6432d61, 0xe24548be, 0x8f385b70, 0x17fdb0d3, 0x5b355951, 0x9c461e1f, 0xdf2dd772, 0xeb707831,
+    0x0ba401d1, 0x11ee5162, 0xdd5e0e7c, 0xb20c36f1, 0x654396a5, 0xc98fdb40, 0x645460ba, 0x3e55aaa6,
+    0x5973fe7a, 0xfd2947b9, 0x3cbd6b5b, 0x501066b5, 0xd17a7e78, 0xd2b58b7f, 0x2085f59d, 0x8862821f,
+    0x3f28d26b, 0x9ba0198d, 0x9d2c1052, 0xe1f4d321, 0xf110ff03, 0xab4feaf0, 0xac9aa5ba, 0xfeadd48a,
+    0x9dbf8443, 0xfab5865c, 0x0b4e1efa, 0xe83b0021, 0x88aa65b4, 0x85f09c3b, 0x87fa2f27, 0xf5c2f78c,
+    0xe41afb91, 0x080ce001, 0x58b961be, 0x158e44ef, 0xd01d5437, 0xfc494320, 0x56435f0d, 0x477bdf95,
+    0xa719423e, 0xb88bc94f, 0x009a0bf2, 0x712c7e7d, 0x0aaee62c, 0xe44ba184, 0xe7020db1, 0xc63e4c27,
+    0xb2b74077, 0x6f021ba4, 0x00f887f0, 0x6f17742b, 0x177ddc10, 0x8c4da4bb, 0x3198df1a, 0x29dea371,
+    0xe0890b66, 0x5ecb2b40, 0xe323bd91, 0x555e555c, 0xa7f8d962, 0xb175b14d, 0xa9f039fa, 0xa962d1a7,
+    0xa601ae91, 0xa854f4cd, 0xd9a6e5a6, 0x2db4f5a5, 0x0d5f841c, 0xb567d60a, 0x34a7466d, 0x2ac9b515,
+    0x3e9649ce, 0x53aac917, 0xe7938eb4, 0x17e0acc1, 0x061175b4, 0xfb910ffa, 0x6394ef2f, 0xa25d5e6b,
+    0x2d5c7705, 0x070348b1, 0x2973c7e1, 0xd99c006e, 0x84c57312, 0xf34e143c, 0xa22e2bb1, 0x39afda52,
+    0xa481d4ad, 0x7f1655e4, 0x2e3ef69a, 0xf5558783, 0x6d221fa2, 0x02810b46, 0x33dee20e, 0x25b25124,
+    0x3a6838af, 0x044657d0, 0x3e335ae2, 0xefec7213, 0xbfbde106, 0x22c3f315, 0x87e6307b, 0x44b22e03,
+    0xda74856c, 0x85d17585, 0xc94f8369, 0x617e10b8, 0xfe849bee, 0x68f4e2fb, 0x2b00756f, 0x3fd1c9cd,
+    0x6d106878, 0xfcaf255f, 0xc49f5878, 0xb97cd734, 0x7f590ff8, 0x1e5b2589, 0xd5baaefa, 0x4cdefbb5,
+    0xcc2b313b, 0x0c2edc63, 0x7ac0a716, 0x08607eea, 0xdf4888f6, 0x86319bda, 0xb10000f8, 0x365d4459,
+    0x4acc1083, 0x27d14b13, 0x67a7a1f1, 0xce3b6495, 0xb143965d, 0x8c93fab5, 0x5776f1fe, 0xaf995f3a,
+    0x1c74de6a, 0x3712513c, 0x2d14465d, 0x3dd6ed5f, 0xe9dd2259, 0xfbd9ce6d, 0x5cef8369, 0x68b68aee,
+    0x16efe4b7, 0x17c3bda4, 0xdfff06c1, 0xc316bce2, 0x95b08672, 0x346dfbc6, 0x4938c8a3, 0x90a13707,
+    0x677a95ab, 0xafb6f001, 0x7a87329d, 0x0647ea58, 0xc2f5ee98, 0x1ba6f162, 0xc3984f8b, 0x12d44999,
+    0x85e44edd, 0x6db0b54b, 0xcd4ac81f, 0xa4dd719e, 0x1cb74eb0, 0x38cfd91d, 0x783055f3, 0x5c739c4f,
+    0xc450cacc, 0x80391a41, 0xf2cf9f78, 0x9519f0f4, 0x66420fb1, 0xdb3068a3, 0xc00db7cd, 0x33b238b5,
+    0xf800d5c1, 0xe5421062, 0x3d3f3fae, 0xda8e6617, 0xa35c913c, 0x1bf83c4b, 0xba8cceaf, 0x7bad9d8f,
+    0x029f641f, 0x629e18f3, 0x3e504b2b, 0x6a5bef39, 0xd4f973f8, 0xb3e6991d, 0x56e12580, 0x456e842b,
+    0x16b88d64, 0x632e846d, 0xe098aac3, 0x2796dbd6, 0x01e17717, 0xc70b270a, 0x3a8a6c38, 0x680053de,
+    0xac3d80d8, 0xc50f3841, 0x3b662948, 0x0684a09a, 0x36ec4477, 0x6fe5a21a, 0x12eab0d4, 0x8865d3d4,
+    0x1fce9d1a, 0x4748ddc8, 0x44a20dd8, 0x2656f252, 0x0375df68, 0x8b9d0554, 0xe41be727, 0xc01677ec,
+    0x9ffd9c19, 0xd75ac137, 0x63f27635, 0xe425397e, 0xe8885be6, 0x1682ba40, 0x9315102e, 0x5289c698,
+    0xc0e322fd, 0xb44b9952, 0xef4429c0, 0x578f4072, 0x418d1fc2, 0xbe0f9761, 0x6c8f3142, 0x97ff319e,
+    0xf9196185, 0xbdee5be7, 0xb2b54fca, 0x75b8af0d, 0x2a0cd6c0, 0xbaab3d69, 0xc45233a2, 0x20a0aeef,
+    0xc86019cc, 0xc06dba3e, 0xa64dfbfc, 0x8d2887bc, 0xc6727478, 0x83de10ec, 0xd1b9f40e, 0xdb091ad5,
+    0xc3f5e7e6, 0xaf37a3da, 0xb1aa0839, 0xd05de88d, 0x8f16a7d2, 0x60688545, 0x77c74446, 0xb761d2a4,
+    0x14a65c30, 0x75c5709d, 0x81001f3e, 0xb06e237c, 0x77e45d12, 0x861d33ef, 0x50c395f6, 0x6370e89d,
+    0x7482acb9, 0x925075bb, 0xad27a086, 0x6240aba0, 0x16ae840d, 0xc5e6c77e, 0x1d0e118b, 0x51dbfb2b,
+    0x497ce168, 0x701c150a, 0x78c34a9c, 0x87e3de47, 0xfa5d1231, 0xec99d8e0, 0x7bb5748b, 0x25b4ea40,
+    0x4a8cd8d7, 0x94680e4b, 0x0e9e1194, 0x3eef12c7, 0x4ecf1daf, 0x56b6a436, 0xe0f7ade1, 0x464ddcff,
+    0xb1deeadc, 0x909c5332, 0x83c40ced, 0x135b8b99, 0x37162abd, 0x7808d20f, 0x58eaad03, 0x22f7d23c,
+    0x7a224871, 0x8cfde3da, 0x2b030b81, 0x47116107, 0x5259de81, 0x60955953, 0xc6ea1007, 0x3090dcc9,
+    0x05047d99, 0xb9eb5e83, 0xa318c186, 0xb75b95ad, 0x81f677f7, 0xb0d2ef15, 0xfb3b7d06, 0xeac67454,
+    0x5ff45fba, 0x7b8a2253, 0x7ddf4949, 0x5286c4b9, 0xb61594ae, 0x4c51fa7d, 0x859bd8da, 0x841fa6e7,
+    0x7ea09489, 0xdd555a7b, 0x1b6df5ca, 0x80c55842, 0x41f2660a, 0x02a8ad28, 0x97f7579f, 0x19ce4eed,
+    0xfd415a2f, 0x1230a4e6, 0xa7146a55, 0x7d9ba018, 0x170c9ea9, 0xb4889f49, 0x4f946148, 0x116ba6f5,
+    0x1a02b03c, 0xb6605a35, 0x06cc9b13, 0xe0736754, 0x1e344870, 0x80ff0205, 0x2af4975c, 0x48b15c14,
+    0x55643c71, 0x54740525, 0x0caabd26, 0x7edc4b73, 0x6bf2bf15, 0x43162e13, 0x938a341c, 0x187ebf0c,
+    0xa73f2fd0, 0x6530bbff, 0xe0ec10a3, 0xefa31bfa, 0x729eb0ae, 0x01d20f01, 0xe42a0df4, 0x2a8daabd,
+    0x242077cf, 0x8ead3dbb, 0xded4f2b6, 0x5bf37ac0, 0xc9d35b85, 0x6a329117, 0x8dc87e9e, 0xbd205c1e,
+    0xc18290ee, 0x2ef954e0, 0xc55b00a9, 0xc3e1b4e9, 0x252bdadd, 0xffdf9df0, 0xdfbea186, 0x5204b708,
+    0xc646ae53, 0x8439c33e, 0xf38f05c7, 0x17adcc26, 0xbb014c3a, 0x852c38e9, 0xb3d0f64c, 0xc0e89578,
+    0xe4c73e65, 0x5017f616, 0x1946a9fd, 0xb61ecc7b, 0x6a97d71a, 0x1256e8cb, 0x0d1bb3ed, 0x38289b98,
+    0x23724d9f, 0xa6b53604, 0x91385ff5, 0x357d19d8, 0xfd0ff273, 0xc31ddffd, 0x906d8367, 0xb229bf5a,
+    0xa15412ac, 0x1692e5a3, 0xda33764e, 0xdf943290, 0x2aeacdbd, 0x88c0a4d7, 0xaf1c6b07, 0x7bcec65b,
+    0x91cd9742, 0x184d6f9e, 0xd0425123, 0x25237831, 0x7b3652ce, 0x4e77f753, 0x44ac6b98, 0x42a1bbc9,
+    0xe2c62ed5, 0x802f471a, 0x30a2baaf, 0x43426edb, 0xc91c8ae0, 0x6e4e6fe0, 0xcc7f598b, 0x33beaeca,
+    0x3114dfd7, 0xee62234e, 0x2bb5c209, 0xcf7f5753, 0xb456bf92, 0x356e9ef2, 0x784a60d6, 0xdd0e8cfc,
+    0xb07373d3, 0x9bf21a71, 0x4078f4bf, 0xfb69f8a1, 0xf90a30db, 0x8115ae5f, 0xbdb04029, 0x2e1bfee8,
+    0x4b5cb370, 0xe35b79b0, 0x9d8722e2, 0xebfa8872, 0x386c28cd, 0xd90fcf8b, 0x01bd1139, 0x3e9d5f71,
+    0x6138e0ac, 0xa0cdf886, 0x3224580e, 0x5a5db869, 0xe0d23c87, 0xdf6b64e3, 0x81615a1b, 0xfcf3534c,
+    0x025f501c, 0xdbd5fd11, 0xa72d429e, 0x095a1f8b, 0xecdf2671, 0xea2fffa6, 0x53e77455, 0x3b5e06dd,
+    0xf0e12a47, 0x6f4b912a, 0x75619559, 0x6307038d, 0xbbfbca7b, 0x36031ce1, 0xc030927b, 0x07ae14e9,
+    0xe6e076ec, 0xecd76e73, 0x60235d3a, 0x73355280, 0xddcf1032, 0x4c403408, 0xc2dc85f7, 0xc2e41b00,
+    0x22c498dc, 0xe3e3780e, 0xd123726e, 0xa3f93df6, 0xf40d28b8, 0x36c907b4, 0xd7bf359f, 0x8622b04b,
+    0x576ccae4, 0x9be43528, 0xe2a01725, 0x73de8672, 0x6860a36b, 0xec06a098, 0xdbb75f03, 0x1829f550,
+    0x1c8bed49, 0x7397357c, 0x04f42cda, 0xa349ed6b, 0xc4a8655f, 0x424ddcc4, 0x63722ad2, 0xe83e48a2,
+    0xf236641d, 0x30a4429d, 0x4981f776, 0x7046561d, 0xa83c421e, 0x2b826221, 0x53541145, 0x8d16b1d9,
+    0x73775e37, 0x44be2d3f, 0xb7085529, 0x8b45f914, 0x66682307, 0x5e2aa518, 0x59bf0d5c, 0xf6b0fe05,
+    0x08d37d6e, 0x4d5dded4, 0xc614256c, 0x1138b5a5, 0xeef7ea1e, 0x5f720551, 0xfba1b3af, 0xeddbc245,
+    0x7b5bbca3, 0xc16353ac, 0xa75caa62, 0x64525b27, 0xcab36686, 0xdd625fca, 0xa274722f, 0x770fbeb9,
+    0x5a25ab09, 0x85ffe91e, 0x3b17cba1, 0x8dee7ef3, 0x5c393ff5, 0xbf4bddbb, 0x6f0db998, 0x1bb3a0a1,
+    0x2e16483c, 0x4902dbef, 0x47bfd5f1, 0xc2165740, 0x1fc194f2, 0x94763d3f, 0x8a23f5a4, 0xdc1f981a,
+    0x4f1aeb6b, 0xf28d5a18, 0xa46be27a, 0xf3818f1d, 0x1f37cdf1, 0x3508e171, 0x45230aea, 0xfb4258af,
+    0x751cba1a, 0x1d9d00a1, 0xe912fa7f, 0x8f905b06, 0xfa8c413c, 0xc3493dc1, 0xadfecd23, 0x10a29fa0,
+    0x4a9d70b3, 0x790d310f, 0x52aaf1d6, 0x259702a9, 0x90e4ee34, 0x1e31491f, 0xaad4e3ec, 0x538024b0,
+    0x178c91d6, 0xee70a485, 0xa9c324b4, 0x22d229b6, 0xbfd49303, 0x6a741798, 0x6af0c943, 0x9a12bff3,
+    0x3b42a888, 0x3e7b5422, 0x72debcf9, 0x6e5f2002, 0x4011cd84, 0x8312df9e, 0xc473d17f, 0xedb9ce04,
+    0xa365f286, 0xfb793288, 0x3a3f0d7a, 0xadd311e9, 0xfbf81f3a, 0xad625b41, 0xff10f4bc, 0x2e675d15,
+    0xc62fa2eb, 0xa261715d, 0x7e724744, 0xcf98754e, 0x4359c279, 0xa2a26e42, 0xa68ad37c, 0x0c3b4c20,
+    0xa6029dec, 0xf124a3af, 0xaddce71b, 0xe9e3d32c, 0xcfab4c17, 0x97c632b0, 0x57912742, 0xe37ab4d3,
+    0xe791c376, 0x5b8459d4, 0xb6ca3ddb, 0x0fa7a485, 0xd7611ac1, 0x747221e4, 0xa2f658f2, 0xaa9d14ff,
+    0xb081272d, 0x65df47d0, 0x0412d463, 0xe498d805, 0x3ca4d84e, 0x00577814, 0x2bc17629, 0x63095f39,
+    0x1ca4a055, 0xe2e34ddb, 0x34d438c2, 0xe1dbf1d8, 0x06be94eb, 0x41522d87, 0xaf3a9902, 0xfb624f0d,
+    0x20894029, 0x7b9a0978, 0x58fff8e4, 0x137eb990, 0x3c2ae75b, 0xdc0978dd, 0xfe4a352a, 0x247987be,
+    0x99c592bc, 0xd8973438, 0xf4147f59, 0x9955b0dd, 0x77f33e42, 0x168c1ffb, 0x8e2f8cd9, 0x931e87a7,
+    0x3cb4ff01, 0x57ea28f0, 0x942b34c3, 0xc5eae840, 0x3e7f6747, 0x79957c91, 0x82b47a93, 0xc6d7584d,
+    0xc5bbdb53, 0xe7bab114, 0x270e8790, 0xf494aec9, 0xc1e709a0, 0x66377c66, 0xd16aa20e, 0x3e01a61d,
+    0x4e50be10, 0x74edac7f, 0xc7ae2aad, 0xd6422dbf, 0x56b3001d, 0xef006237, 0xe77a29a7, 0x6fdba334,
+    0xbaadad06, 0xed2ddde9, 0x92ae143d, 0x5bf280b0, 0xe2d861ee, 0xac12ff48, 0x88a3bea1, 0x46ce9461,
+    0xccc7b7b8, 0x4b451fcb, 0x3c032e0f, 0x6b141055, 0x3b4f0440, 0xca107705, 0x1e3b2a5d, 0xd32d8349,
+    0xbe71ff33, 0x32e3a493, 0xef7f31fa, 0xa40568c0, 0x47941244, 0x04f2cbc5, 0xc4f80b5c, 0x89e3cbeb,
+    0xfe785539, 0xa0cbb5a3, 0xde5ca974, 0xf4efc4d0, 0x5a60d84e, 0x3f49cc8e, 0x36ebe468, 0x6df4d7e9,
+    0xacb9bbdb, 0x21306e49, 0xfa547d3e, 0xca9b8d35, 0xeac7bd86, 0xd8be8073, 0xc5ee0a0c, 0x4eb839f8,
+    0x31f6958b, 0x56b7c12c, 0x2aefd796, 0x7c20cfbb, 0x52f525df, 0x9c2848b6, 0x9ce07966, 0x8616340b,
+    0x0f0cd65e, 0x90e43f80, 0xac8c9224, 0x835ea144, 0x2548e628, 0xcb56126a, 0x4b67a5e9, 0x27a9624e,
+    0x3d0b1e1d, 0x4592752c, 0x71a8ff40, 0xf0333db4, 0x46e04ce7, 0x8a30e360, 0x39eff744, 0xa73bdc29,
+    0x3510f763, 0x97646338, 0x00747557, 0x9a84cddc, 0xd6e54ac5, 0xbdc329df, 0xa76ed644, 0x909f81bf,
+    0xe37a2331, 0x928608f9, 0x538628dc, 0x2e30996c, 0xb55c6fd7, 0xcc89a005, 0x58c35daf, 0xf2a283bb,
+    0x6d775048, 0xa6fb9d14, 0x4f4519b1, 0xd063115b, 0x777323c8, 0x0f6f15f1, 0x5e86a4ce, 0xba79d662,
+    0xd2262743, 0xfdf8d0c0, 0xbbc49c07, 0x4413e81b, 0x0f315fd8, 0x191f4d76, 0x36ad57d5, 0xdfe604d8,
+    0x2cac5fcd, 0x53ebf58a, 0xe8c243e5, 0x99e87182, 0xcf4f6d96, 0x9116b13b, 0xd5be807b, 0xd5e783c2,
+    0x7a01b699, 0xdd3a4d36, 0x2cdca15f, 0x34e8892e, 0x5c8f3943, 0xc99235de, 0x98773080, 0xc1c3d8ac,
+    0x4af2d36e, 0x9d147562, 0xb9f893b0, 0x5f37de2a, 0x1607c2f3, 0xcb88ae48, 0xf1f16707, 0xc0605da7,
+    0x2ec5faa5, 0x02260eba, 0x20baeedc, 0x308a0850, 0xd3aebf2e, 0xec5028d9, 0xe66adcb3, 0x091b0dfc,
+    0x9a7af558, 0x9fe69212, 0x9ae06a04, 0xab7f16c0, 0x28413c4b, 0x7f9bbb4a, 0x19871e78, 0x55ed79f5,
+    0x76b8be26, 0x9a4f30cd, 0x876f4156, 0x3c3ef8ac, 0xee569c52, 0x63d2812c, 0xa3a32979, 0x379fce2b,
+    0x63f9cd78, 0xd9e96252, 0xf93970d2, 0x08609242, 0x38e25415, 0x71efc2a5, 0xc2db583b, 0xf3c107ce,
+    0x021fd839, 0x434cac75, 0x74a18d7d, 0x7d0a794d, 0x45b4a4d8, 0x17781996, 0x366cde60, 0xa404c8e7,
+    0x03c1a8cf, 0x881c9d9c, 0xbef593e4, 0x4cbbd3fe, 0x9ffb728b, 0x7ef389a9, 0x0597ac9d, 0x479e13b6,
+    0xa90eadb1, 0xa8ad9531, 0x8751060b, 0xd9dbec51, 0x42ce1ab4, 0xe27146ba, 0xd53aa0b6, 0x97d33ab0,
+    0x1da8bfc7, 0xf4e006d1, 0x3b171ebf, 0xb299900a, 0xd0a1e0ce, 0x1a06d804, 0x4c382d74, 0x9839c5c0,
+    0x56bb0237, 0xcc3f1813, 0x8b6a1cf7, 0xdcbaa4b4, 0x4ee07311, 0xa2b4bd9c, 0x7f9615ff, 0x456ed6b5,
+    0xd5f10d59, 0x00707014, 0xf42d83a3, 0x06b9a479, 0xd52bb256, 0x818720a3, 0xbf41f0e7, 0xbd8f631d,
+    0xac1d91ee, 0x1bea5618, 0x00477259, 0xed0e08a6, 0xaddd28f4, 0x43572f37, 0x113e3b3b, 0x84e868a0,
+    0xfcc8445d, 0xf43e43b0, 0x98d7d17b, 0xea1a7bc6, 0x9005978b, 0x94de1672, 0x12758896, 0x521465b3,
+    0x1577768c, 0xfe763631, 0x49ad92b4, 0x424dd06c, 0x93aec93e, 0xc1d70d23, 0x58de92b2, 0xa40d7202,
+    0xe36e562b, 0xd0785297, 0x4106bd38, 0x83d3f11b, 0x7a1033b4, 0xbf13dce9, 0x7b711103, 0x2e4ccb74,
+    0xde06fff4, 0xae9bf6b4, 0x13f7230f, 0x334a44cb, 0xb376afa3, 0x1569aa06, 0x38ff1485, 0x74887080,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000006427752177035961102167848369364650410088811975131171341205504 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e42, 0x62958b71,
+    0x00000000,
+    0x9ca78ee9, 0x80590af7, 0x28bbdb85, 0x75f19c50, 0x41370bb0, 0xe3dbeb6c, 0xab9a4f9f, 0x2ed3e8b6,
+    0xc779a93e, 0x7b32bb6d, 0xe9155ffa, 0x23a2428b, 0x79f2a095, 0x989ab790, 0x955d351c, 0x424ff8b8,
+    0x7cc02cca, 0x0e081a09, 0x2fbf4c72, 0xde3c7576, 0xebff1eeb, 0xb5035b29, 0x306c8972, 0x172f75e7,
+    0xf503c3ed, 0xac04e7d0, 0xe3dbc5e8, 0xb3af253e, 0x7fe69c00, 0x80740745, 0x24149bfc, 0xe8333e9d,
+    0x6d9df996, 0xf0bd7045, 0x08cc00ad, 0x3c1f8403, 0x1a810010, 0x09c1f0c9, 0xc0da3619, 0x2ea68bc1,
+    0xf7d69a63, 0xdeb5a742, 0xde9a228a, 0xebdf267d, 0x8a82cfed, 0x58173c89, 0x45201e60, 0x2cffe14d,
+    0xae79b1dc, 0xbdcffd9c, 0x2689d7e3, 0x646fd306, 0x6de26ca2, 0x779ab24e, 0x79d58cfc, 0xb7431bc6,
+    0x8c17d136, 0xb89b51a7, 0xd3579d9f, 0x084e0e0d, 0xc0394efa, 0x31b1fa39, 0x58a9686b, 0xfae71ce7,
+    0x43dce351, 0x5f126199, 0x8b171676, 0xae215d7c, 0x9f12e2c1, 0x4bee321b, 0x7fc12508, 0xac3bec3e,
+    0xedf80dc7, 0x99871642, 0x1b6d0f0b, 0x6705e0b8, 0x835edbf5, 0x8e40e537, 0xb2bb63cc, 0xa7ca6076,
+    0x43234272, 0xcb3b288c, 0x198de2a0, 0xc925fe91, 0x5fefacbc, 0xd980d551, 0x283b6abf, 0xf612a0f6,
+    0x14b1026e, 0x8b4629de, 0xe2f0b9e8, 0xffb37f17, 0x66e7429a, 0xd8e71661, 0x6ec0ae14, 0x7f6f9e90,
+    0x6ab60e67, 0xb05b3395, 0x0a9011b3, 0xb64fdc40, 0x5e4a579e, 0x68bca6f1, 0x10f032cc, 0xf2f2aa72,
+    0xaa3423af, 0xc50321f0, 0xdc4067f4, 0x6a9eec45, 0x8e2e70c9, 0xb301296f, 0x1b5bb440, 0x84ee3371,
+    0xf4d22efa, 0x354f4c14, 0x7c32bdc9, 0xf2158e7b, 0x76282034, 0x253b884f, 0xc1622dc7, 0x35b4bcd1,
+    0x28dc4992, 0x38a5e925, 0xa3951d8d, 0x50b90a01, 0x85d51430, 0x4588031b, 0x2fe32148, 0xe1f3abbb,
+    0x1c5d772c, 0x70f70f37, 0xed06d649, 0xda98190f, 0x7893c30f, 0x2c8f69a1, 0xe6e97453, 0x5fab8969,
+    0xf220ec14, 0x9eb1efab, 0x034c8370, 0x8986db57, 0xbe718ed7, 0x139760d9, 0xaa9487a8, 0xe84e8cff,
+    0x545eeb71, 0xf513e368, 0x8ea06451, 0x0c4138c4, 0xf1be62e8, 0xfc68ddda, 0xd77099ad, 0x9733bff3,
+    0xaf5f371f, 0xa6e25336, 0x5f78ca9d, 0x9a08ce4d, 0xdb284719, 0x4b39a3fc, 0x7d567788, 0xbd1e357c,
+    0x65e479ac, 0x7ff8d1db, 0xe59d3c82, 0x8934d4a5, 0x1af26d54, 0x5002e40c, 0x596c80f3, 0x5204d182,
+    0xe5309932, 0xb28a734a, 0xa2a672c6, 0x09f7bad0, 0xaade0f9e, 0xdd22f8cc, 0x40461452, 0x860703f8,
+    0x0900bb30, 0x7581444a, 0x60a27010, 0xc0f95532, 0x5da2d284, 0xc0b82962, 0xc282912b, 0x42ac9932,
+    0x9602f50c, 0xf8fff14b, 0xe7e6fc61, 0x4f006ba8, 0x37feced4, 0x8fcc6edc, 0xae3e1b84, 0x14ce05bc,
+    0xf4e9f3ad, 0xfbe53a73, 0xe82c5790, 0x61304fe9, 0x481374d3, 0x4c8d39ef, 0x15cbfab8, 0xb0021b39,
+    0x437a3bcf, 0x31692548, 0x09b97c6f, 0x709bd3e4, 0x7bf6fdb1, 0xade6cae8, 0x24c5f36a, 0x1fa41c4d,
+    0x8c7dca1a, 0x62881771, 0x1ec0570f, 0x145d8b54, 0x15e559f2, 0x64b42816, 0xa3ac1d62, 0x594b9d3c,
+    0xccbbbf43, 0x80493d47, 0xfd632f28, 0x1b78d848, 0x7a735759, 0xe416f5dc, 0x612a4439, 0xafcf25fc,
+    0x6c62985d, 0x7f04c549, 0x863c3037, 0x8d253408, 0x3a26f3a3, 0xeed0dc1e, 0x8d0946c1, 0x35f781b0,
+    0xe52d6f0f, 0x595979b5, 0x4317a4e9, 0x9948cef4, 0xa22bc166, 0x37bbc38b, 0x61fd0191, 0x8395b8c3,
+    0x84fb2fcf, 0xd5a55d46, 0x0e9a7ebe, 0xff19483a, 0xf9e5f8d1, 0xbfd04a4d, 0xa3981225, 0x42289a24,
+    0x16b7b0ed, 0x7dab13dd, 0x84b67473, 0x2821369a, 0xf99c606b, 0xe6ed7afe, 0x32fab1f0, 0xd25cb969,
+    0x05e86aa3, 0x1e0b2bb1, 0x957abe88, 0xfd365f84, 0xefe84efe, 0xe9c9876d, 0x2228b80e, 0xa9093783,
+    0x1b3f36ea, 0x3208bdcb, 0xfab8714e, 0x6dca3a5e, 0xd935900c, 0xabde0fc1, 0x6cf62eb3, 0xb79ad175,
+    0x2e1b8b03, 0xce100cf9, 0x1e0c60d6, 0xb9d1c022, 0x795743a1, 0x41214bb3, 0x3dfba0ee, 0xee90968e,
+    0xed1fa103, 0xdf0352fc, 0x7c8e8e23, 0xc18a0f2e, 0xcfa0420a, 0x7440f2bd, 0xf5df2651, 0x5edd02e2,
+    0xdc4f64e7, 0x7cc3a8b7, 0x29b78dca, 0x554f92b6, 0x96a889f2, 0x78e12115, 0x8381fbb0, 0x1a1c5a27,
+    0x1650e6c7, 0xa5977e32, 0xb3ee6f7a, 0x8a10e338, 0xeb97bebe, 0xd699ac3e, 0x4f7cdcf5, 0xec557876,
+    0xc18455e0, 0xe8cbae23, 0x2ea2636b, 0x1a1602b2, 0x3a5b73f9, 0x38c1594f, 0xb3735ab0, 0x03734fb4,
+    0xec42b4d2, 0xef180775, 0x43e44b86, 0x57d14c02, 0xd1f57194, 0x2d68398a, 0x44c83735, 0x0aaebf70,
+    0xf8e3d804, 0xa0fa332c, 0x66a0750a, 0x7b9edd99, 0x7c493601, 0x679560ce, 0x53b30778, 0x3702bb7a,
+    0xcdeacd37, 0xa5b191e4, 0xd37e7a5a, 0x4b7d429e, 0x6eb41bcf, 0x41be8062, 0x595c5801, 0x928a0e08,
+    0x59594f8f, 0x5f597c98, 0x8df96764, 0x6ff0a4cb, 0xb31850bb, 0xbcf5ca16, 0x590b56f4, 0xac79f418,
+    0x690bedda, 0x644aeeca, 0x6d3d84e6, 0x2584e661, 0xb600cb48, 0xee21df05, 0x969cef5d, 0x8da1cb71,
+    0xaf6a5290, 0xdec73121, 0x6f359fc4, 0x16a75841, 0xbb98787c, 0x9c88fc87, 0xc2690c0c, 0x72c96b02,
+    0x9254ef5b, 0x34f5c669, 0xee6c219d, 0x9d9255e6, 0xdca13360, 0x2f6845ae, 0x10a55633, 0xc095ec4a,
+    0xab623f28, 0x714abd65, 0xf7849789, 0xfa9d9fa8, 0x0a3d48bd, 0x581bf925, 0xb1eabea0, 0x6a6f6c7a,
+    0x43b1b3bf, 0xb4d356ae, 0xf64f4c64, 0xfed8b6a9, 0x6007251c, 0xc94d0f59, 0x83680113, 0xe2d01202,
+    0x189babf7, 0xcb473386, 0x7e19618a, 0x275db7ea, 0x4c766e50, 0x12be5fb2, 0x19fa28d7, 0x6fa8a053,
+    0x932c274d, 0xfaff7811, 0xfe54bb07, 0x2c85655f, 0x204687bd, 0x01bffb35, 0xa39809ad, 0x0a994547,
+    0x9d46b53d, 0xe5000c90, 0x070afce3, 0xad2373a2, 0xa08b7714, 0xdd465ecf, 0x42bb9c37, 0x737b56d5,
+    0xee2302ae, 0x32e88be7, 0x4ee85227, 0x766091dc, 0x955be031, 0xd8bfd66b, 0xc6d81369, 0xbe2ea9f8,
+    0x29058a6d, 0x9c5c77d2, 0xa4d15b74, 0xa6875255, 0xdf1ba589, 0xbae5ba25, 0xa7370fc3, 0x18539275,
+    0xcf6bf53c, 0xcdb286eb, 0x96893c60, 0x994954e8, 0xd33d5239, 0xb1c2c699, 0x136b3fce, 0x8b1a967d,
+    0xa8e41e2c, 0x76ecd787, 0x94f8b474, 0xf6a369ff, 0xa6425f12, 0x6285ca97, 0xc68e873d, 0xdc0b23ff,
+    0x928e4b36, 0xee7f4be2, 0x3c6dd50d, 0x7263a777, 0x2dbebca2, 0x155af695, 0x3e079783, 0x5c1d3b07,
+    0xdc24c682, 0xaf997110, 0x91f2eab4, 0xf20c929d, 0x23598fe9, 0x36d71e30, 0x0b46e992, 0x22cf0d56,
+    0x86d87fc2, 0x88c2c44f, 0x206494ae, 0x6ad94fa8, 0xcde04e58, 0x5dde314a, 0xba00956c, 0xc8ce696a,
+    0x99835429, 0x971e5d31, 0xfb168a23, 0x8171b475, 0x412cebf7, 0x1e04991b, 0xe897f690, 0x03e30ffa,
+    0xb4689868, 0x8e893e8d, 0x694f6f26, 0x8992298d, 0x69672f5e, 0x76cb68b5, 0x4e0e7b47, 0x1e7aa27b,
+    0x8018da26, 0x0000a104, 0x156c6fcf, 0xd58a35bd, 0xed50f8c5, 0x96bbb107, 0xefd45244, 0x0c8ea896,
+    0xb49d2e1a, 0x03418465, 0x7ed79588, 0x1f83489e, 0x35f5946b, 0x02224b28, 0xb065790b, 0xad3fefc4,
+    0xa514e46a, 0x713b1d86, 0xd0b0506f, 0x035578df, 0xe2dd7e14, 0x7d385f48, 0xd2efc8d2, 0x6961518f,
+    0xb736af19, 0xf003f448, 0xad0aecd5, 0xa85e362b, 0xe5d38927, 0x5dc86e71, 0xf50432e9, 0x44a42601,
+    0x3a4d7a24, 0xaea73c79, 0x38340d9d, 0xe5664b3d, 0x4ad2a6d6, 0x394a7195, 0xf41de7fa, 0x0d79186e,
+    0x21f84a7f, 0x94e74eb1, 0xc1505ecb, 0xafd253e7, 0xdea714ef, 0x7f0fd7ef, 0x658ecc33, 0xc1cf1018,
+    0x02b489b1, 0x7b810880, 0x0a811709, 0x016c9ac7, 0x83b15aa4, 0xf2353934, 0xe8195f60, 0x32ee28f8,
+    0xa4cb7875, 0x697cf14d, 0xec28948c, 0x5c874b5b, 0x58abf309, 0xe45c3f45, 0xe038abc6, 0xc73f2ba3,
+    0x90717535, 0xd80784a1, 0xa72718eb, 0x38e54232, 0xfac41d5e, 0x1e87407c, 0xf342a7e2, 0x3a042c88,
+    0x5117b1f4, 0xb230382b, 0xa45ac994, 0x0aac7cff, 0x3f1b5f09, 0x7906ceaa, 0xffef9c81, 0x9e78d5fc,
+    0xcea0a268, 0x43cd1658, 0x86265ac3, 0x8df94653, 0xbf13d95b, 0x9c209ef0, 0xdfd8c850, 0x7c105249,
+    0x074a8cdf, 0x22306ee3, 0x66d35f7e, 0x30814544, 0xc7cc0645, 0xa6784324, 0xeb1723ca, 0x16f95303,
+    0xcc26950c, 0x1faa1dc5, 0x7ff3cbf9, 0xd6b24d08, 0x4fc63aad, 0xa577288e, 0x6a963426, 0xda3168a9,
+    0xe1476272, 0xbfdb7b8c, 0xb9377453, 0xe5409f8b, 0x0c3dd825, 0x7db5f348, 0x5cd37f7e, 0x3f2abe3b,
+    0xba4653c1, 0xb2e52c51, 0x6c4d7d85, 0x081fc2c0, 0x09b6b105, 0x796abc15, 0x265b26dc, 0xf70270d5,
+    0xc2c796fe, 0x471cdb98, 0x58b0f7b6, 0xf12e53f7, 0x94ce3928, 0x8ad0ecb0, 0x8c3c8688, 0x73c4a715,
+    0x9403d93e, 0xc888f831, 0x2f046183, 0xc63b3ce0, 0xd3df58e7, 0xf12bc579, 0xd9556328, 0x284a5c68,
+    0xd08a33c6, 0x2533106a, 0xf6ed5eed, 0x0021101a, 0xac890bae, 0x378f7044, 0x75b90f40, 0xed44cf7d,
+    0xce79eac7, 0xc4d8f87e, 0xe8656cf8, 0xb6830c8a, 0x559a9d96, 0x9d667133, 0x978b480c, 0x86fe08f2,
+    0xf64bea07, 0xf15752fc, 0xc942aac3, 0x36a64fd7, 0x97736691, 0x05494644, 0xff790101, 0x1744993a,
+    0x486fa2bb, 0xc75b6f42, 0x4820fafb, 0xdb2d5b23, 0x200466f0, 0x2a657dc9, 0x08270550, 0x5b59a965,
+    0xfe7af554, 0x33cc2824, 0xfa018389, 0xb52beb50, 0x4507ac29, 0xb34e7631, 0x885c958b, 0x3126b8d4,
+    0xe526f656, 0x690c2bfa, 0xfd822d4b, 0xf2d99360, 0x6dd0230e, 0xc4d11c08, 0x6560e8b4, 0xfcce4404,
+    0xc6707e11, 0x548d9b43, 0x63fe7796, 0x00e94235, 0x50c9ef65, 0xf9ec47bd, 0x4f5f6508, 0xc0c81a83,
+    0xc6058514, 0xb55b2fc4, 0x96090133, 0xba4eade1, 0x3268fb19, 0x0d8f0504, 0xa13d9ff9, 0x4c271fac,
+    0x2c9cb768, 0x39fdd2f2, 0x8c427127, 0xd569201c, 0xb52730ea, 0x7271fea1, 0x3a2f6f2e, 0x29776ac6,
+    0x64a853d5, 0x7e15b341, 0x763ad54f, 0x7bc5be5c, 0xb370f726, 0x1e4eaee3, 0x54c8f0e1, 0xbc59faf6,
+    0x0b1a8d5e, 0x84f0340b, 0x8b70bcf6, 0xfcf0d103, 0xaeb1be60, 0xe851e344, 0xb347f5f1, 0x1ae03600,
+    0x752b5a7b, 0x5e29a56c, 0xfd43f76d, 0x4e15136f, 0x0d301e44, 0x069259e0, 0x6d3c8aa1, 0xd2d29616,
+    0x8af27563, 0x66851596, 0x054bcc38, 0xc223072b, 0xfb9e18a0, 0xce0b6565, 0x0ad100ef, 0xbdaa9a31,
+    0xe5d6a3f4, 0x6c78850b, 0x492f5910, 0x574b43ec, 0x3e4002d9, 0x6ffb0a00, 0x8ce304c6, 0x590e23fe,
+    0x2faa3bb2, 0x000ae20c, 0x52be6e89, 0x5653ad3f, 0xa371691c, 0xd6b4e2f4, 0x720031e6, 0x113e804a,
+    0x86538e88, 0x231c2939, 0x7d9c4d8c, 0xe899a971, 0x857d4071, 0xd358eb5d, 0x7ebb22e9, 0xd4195e34,
+    0xd4e75cc9, 0x07602c01, 0x9ce43d4a, 0x1cd753f7, 0xeca8534b, 0x3e601cc5, 0xe76e95ce, 0x28764dc9,
+    0x8c257bb2, 0xe03880ed, 0x172e17a9, 0xe825e44d, 0xcc766da7, 0x1c57d7cc, 0x29b017d6, 0xfeab3ce7,
+    0xa7819457, 0xb715fcfa, 0x01cba2e7, 0x0f98df7d, 0x9b508c46, 0xc629dd91, 0xd6d4852d, 0x78e7f826,
+    0x33dee169, 0xe9dbfb70, 0x93bbbe3f, 0x260405a4, 0xd695bcd7, 0xf5f1ed85, 0x5104a1f7, 0x2f84ea25,
+    0x14df154f, 0x2fc08d36, 0x90f3e0e6, 0xee7055ef, 0x736e5438, 0xcca8bc82, 0xe2363e8d, 0x232ebf51,
+    0xb8f84253, 0x401fdd36, 0xb2b5de31, 0x96bb1217, 0x3d26959c, 0x8109474b, 0xed21697c, 0xdde4d780,
+    0x4c17a55e, 0x0015af9a, 0x80357b55, 0x05b18823, 0x7606c48d, 0x5701e02b, 0x6d590b44, 0x29f26e2e,
+    0xb3a81a91, 0x99913c64, 0xfad228b4, 0x0a1399e6, 0xe1d4358b, 0xb5868bc8, 0x5db4e776, 0xa9e2ffc7,
+    0x222994a3, 0x78199b94, 0xfaeca376, 0xf59ee0c6, 0xbacf539c, 0x172ec0ce, 0xc7507e47, 0x755ccaae,
+    0xcaaa8ab5, 0xdcf0a797, 0xdcadabff, 0x5df7aa3c, 0x6ba6bb05, 0xc9852777, 0x14ca76bf, 0x6449a65c,
+    0x2ff690a2, 0xca802706, 0xb21d3eef, 0xeb2bd968, 0x1962a288, 0x30b55bf6, 0xc3e4aa30, 0xa08ca6e7,
+    0x6d141d36, 0x90013497, 0x4570f12e, 0xb238fa04, 0x57f8491f, 0x8f187bd4, 0xd78d2537, 0x0dddeb0e,
+    0xa8e2f769, 0xc672841d, 0x7c546d41, 0x8fe4550b, 0xad8a52a0, 0x2c552db7, 0xe6b7470a, 0x2c5c9388,
+    0xb45fb674, 0x667bb59a, 0x6515f649, 0x3aecf5dc, 0x0287b9da, 0xc9be61e9, 0x65f43f50, 0xc3604835,
+    0xbe5365f0, 0x48232599, 0x4df19b1f, 0xfa6c3dae, 0x2744f0ff, 0xd9d0112a, 0x7df660a0, 0x773b7b09,
+    0xbbd07144, 0x8aea457e, 0xe6b436c2, 0x717957de, 0xc1e0a5f1, 0x99b38717, 0xe130ccbc, 0xfc38c1eb,
+    0x37226815, 0xf4e6a720, 0xbfa10356, 0xea08dd59, 0xa663c40a, 0x50bb91aa, 0x04b8f01d, 0x1c4c6e25,
+    0x41d47916, 0xde957b92, 0x916c7315, 0x73126be2, 0x9f7b7467, 0xcbeaf0c8, 0x5c05db46, 0xab92f6bf,
+    0x9cb32880, 0xb0f37a44, 0xc062c889, 0xa6ac895e, 0x4ec3e7c6, 0x81f6a7ae, 0xf6b8b184, 0xc552e541,
+    0xb1431091, 0x72cf0328, 0xa765a4cb, 0x8d514645, 0x81036574, 0x5b771d00, 0xf42cc0ce, 0xe10be0d0,
+    0x1f522387, 0xe589df52, 0xb17c41ad, 0xac0e39e1, 0x15653540, 0x24f94931, 0x360cfa38, 0x2e8850ae,
+    0x1f90e247, 0x885f9fc1, 0xf37d629c, 0x39693364, 0xced59e02, 0xb98077d8, 0x28a808dc, 0x40931e3b,
+    0x8ec30661, 0x46ed3540, 0x92c9eefa, 0xd3a26b7e, 0x76ef3f8d, 0x95b7b1f1, 0x93856cc0, 0x30cdaea9,
+    0x121f6c87, 0xf35776c2, 0x3f452a44, 0x8672af68, 0x979a65f9, 0x379ef8f2, 0xcc6dd624, 0x131e944b,
+    0x5a689f5c, 0xb942ec56, 0xd89d90c6, 0xf603d2c2, 0x29d8389f, 0xd49c499f, 0x177a9568, 0xc4398880,
+    0x6f333ded, 0xb6f471dd, 0x518c892d, 0x2a5ccbfa, 0x2d6fba51, 0x0690d7e7, 0xa7312c43, 0x09ccedbf,
+    0x0a65bc02, 0xb6271660, 0x0f657192, 0x9670d0fd, 0x3a9506ce, 0x1bf5803b, 0xf7f1a6ee, 0x69eba69f,
+    0xe5e2a5d2, 0xa695a747, 0x372b4803, 0x804000a7, 0x47cd7e6a, 0x74103343, 0xa69f345b, 0x11e6feb1,
+    0xe64679f3, 0x9d009bdf, 0x74275d14, 0x6e59b42d, 0x4229c015, 0x8bf39182, 0x8adb6588, 0xb76d9245,
+    0x9b7d6eb9, 0xde9c0b96, 0x4eb06992, 0xfa6545d9, 0xaa779030, 0x39322f92, 0x03453df9, 0x50ade22b,
+    0x10385afa, 0x043fdb83, 0x50375126, 0x28d4b729, 0x743619b0, 0xa1010b15, 0x004659c7, 0x5864784a,
+    0xf9c653c8, 0x82197555, 0x675e89bc, 0xe490e739, 0x56ff682d, 0x2b30cb06, 0x845a36ab, 0xf8d53341,
+    0x6802c836, 0x776d3dca, 0x49306fa1, 0x5dc7c94a, 0x180735b5, 0xb1eb6cf7, 0x1b25af5c, 0xcc5074f5,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000003213876088517980551083924184682325205044405987565585670602752 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80721, 0x314ac5b8,
+    0x00000000,
+    0x8d9ab3b7, 0x68b60d45, 0x22112111, 0x78553765, 0x9d55bab2, 0x052485e0, 0xdb9a789b, 0x0b4be5d1,
+    0x01e0bb3c, 0xecbc38fc, 0x620ce13a, 0xf225696c, 0x7e3bfbe9, 0x011537a0, 0x01739668, 0xf01575c7,
+    0x672ef8bb, 0xacbcc65f, 0x7880441f, 0x1bf031c7, 0xa70494bd, 0x5d9531e5, 0x476182ca, 0xa02b8c26,
+    0xf3f9e97a, 0xc3d16c70, 0x303a4886, 0x268ad92c, 0x170ea121, 0x063e45d1, 0x676004b1, 0x495d6098,
+    0x378d918e, 0x2949db1d, 0x7045c453, 0x6d008e7d, 0xd707ee72, 0x1b2f24e8, 0x6082f436, 0x5768f6a6,
+    0x96419873, 0x1a74ae5e, 0x020252d8, 0xcbf56954, 0xa4149261, 0x1431b431, 0x1f2cb02e, 0xad424baf,
+    0x08590a49, 0xfdbf00ce, 0xcab7cf7d, 0x4f7b0fe2, 0x1aae96a8, 0x56ba352c, 0x721c38b4, 0x38fb7af2,
+    0x35b6af6f, 0xc0a14131, 0xa3b3ced8, 0x492b98b1, 0xacac96ed, 0x71ed3d70, 0xc68f64d5, 0x2df8a240,
+    0xd15ed14f, 0x9aaa218a, 0xe2977bf0, 0xc450df70, 0x9842cdd5, 0x3bd86eb0, 0x734da990, 0x0f84eea1,
+    0xb0de8620, 0x127602f1, 0x92c09079, 0xc6601daa, 0x80b58c10, 0x5c68332b, 0x15195cb9, 0xbec74bd6,
+    0x82355d62, 0x8aab81cc, 0x49e122db, 0x9a3f7653, 0xf35db036, 0x36e2eac4, 0xca134c59, 0xe5f2f64d,
+    0x5a417d26, 0x233c8105, 0x208a955e, 0x07dc0c32, 0x6ff2cc9e, 0x91caf642, 0xbedc15a6, 0xaef7d892,
+    0xf238e798, 0xcbc10a1d, 0x088a7f3d, 0x958ee84c, 0x9eb400fc, 0x531c33b7, 0x4f022fd5, 0xf75d5de0,
+    0xb7505332, 0x0b0a9416, 0x5a80a036, 0xe600d7e5, 0xc90ba230, 0xc03d821a, 0x1737d366, 0xb437a104,
+    0x7b0adbaa, 0x71b09471, 0xb3ae9e23, 0x137a26ae, 0x9d220520, 0xe9e8384d, 0xcee76b2c, 0x0a24277c,
+    0xe5962e41, 0x4a9cd158, 0x9d6782d4, 0x0b78e1e5, 0x6182fa5c, 0x16a682b2, 0x68b601ba, 0x761e1549,
+    0xb7ace0b6, 0x0ee59de6, 0x067f17a7, 0x59ffc9cd, 0x42c29a8f, 0x4ddc108e, 0xfb04085f, 0x9432006f,
+    0xbda51bcf, 0xcceae82f, 0x15fd71f5, 0x27ccdc02, 0x715c2ae7, 0x13302893, 0x24283bd2, 0x8f578c0c,
+    0xf4550f48, 0x2f895b6a, 0xa8928d39, 0xf316f771, 0x02d9bd1e, 0x29df8712, 0xd4a39353, 0xdfe7794f,
+    0xefe5fa8e, 0x101eb31a, 0x08ec1fd0, 0x79bfe758, 0x101c4b4f, 0x30259ec0, 0x228b5c87, 0x38e1a044,
+    0x151874a0, 0x8f02c0ce, 0xfb92d9cb, 0x4f0622ec, 0x3ccbe1d2, 0xa29a295b, 0x8c223235, 0x1b13ff4a,
+    0x95161cb1, 0x04ddd5d7, 0xb98cc9b0, 0x3b3adc22, 0x1d466cb4, 0xc2135bff, 0x266c179f, 0xa1a143fa,
+    0x907c7adc, 0xdff4f797, 0xd795212d, 0xe96a8af0, 0x1b01cda4, 0x42651d2e, 0xe72dbea1, 0x23718d33,
+    0x57b92617, 0x69b5aeb2, 0x026281ef, 0xbac8bcd7, 0x76503f43, 0xe33c142f, 0xa58f89ad, 0xcff380aa,
+    0x11166d5e, 0x5b432e0c, 0x4a1f7eea, 0xe03b5fe4, 0x4f1691df, 0x3a42aae9, 0xa8092671, 0x6eab446e,
+    0xb841fd7d, 0x8f0ee6e3, 0x47287b3f, 0x5409741d, 0xabf29d5b, 0x9ea974b8, 0xa98b95c4, 0xc5407087,
+    0x25840e0f, 0x78ce627d, 0xc151fd5e, 0xf2e376a3, 0x67b02bee, 0x4364859e, 0x53c1e4e9, 0x6044f985,
+    0xfe8cfc86, 0xd899ff7c, 0xf0bb460a, 0x5fb5c612, 0x8902632b, 0x0d6d4dca, 0x996b8881, 0x1c23649e,
+    0xb8591f0a, 0xe8698f8c, 0x7b117ee7, 0xb5c04a02, 0x6a5691b2, 0xda6a5b1b, 0x4337439e, 0xfc06f81d,
+    0x202381ff, 0xdbce87a7, 0x5e1cf3f3, 0xc8ec3371, 0x5e6e306f, 0xcf510c43, 0x370e9a9f, 0xe3b7dd93,
+    0xfe2c50bb, 0xf266152a, 0xbaee40b8, 0xe24cf398, 0x6d819f09, 0x6885b43b, 0x351cc0e0, 0x84046372,
+    0xb7944c0c, 0x8e2271b8, 0xb17051a5, 0xbfae6f1e, 0xa5d25d51, 0xdb61a23f, 0x29b35492, 0x6038cc8a,
+    0x2aa76d32, 0x3de76eb3, 0x170f5382, 0x1c7c7ae0, 0xd9bed557, 0x9683e143, 0x7d861119, 0x86e54527,
+    0x80c9278c, 0x31507734, 0xec0defe2, 0x42c9cc37, 0x8d0498b5, 0x38e80df1, 0xd30303fd, 0x01685702,
+    0x85453c54, 0x3e7c037e, 0xb4c213b3, 0xd71ab171, 0x3fb93a98, 0x58233dee, 0xdf43b421, 0x76d3517b,
+    0xc3d102f5, 0x12669cb9, 0x8e5eda6b, 0x2f9acb3c, 0xedc19204, 0xb24e5066, 0x9844f8d0, 0x2704d1a5,
+    0x08d0a7bd, 0xfac3e070, 0x5e380677, 0xc6ca0bea, 0x75c64bb3, 0x25d1e0ca, 0x5bf93da6, 0x213b2872,
+    0x8ccb8c9e, 0x593f1d0b, 0x441254b7, 0x0e479aa8, 0x142e9b0d, 0x98220085, 0x5bf8219e, 0xc04cffd7,
+    0x1d1ccc39, 0x3cb69c62, 0x290a2a17, 0x050e15e3, 0x2503de3b, 0x8ca46994, 0x04810f6b, 0x0c07f4e8,
+    0x585c0021, 0x553a2612, 0x04ff046b, 0xb598c5d4, 0xe21e9be5, 0x1d681a75, 0x651f44ba, 0x7d5cd52e,
+    0x71c289e4, 0xa8a50205, 0x0226eaae, 0x63f7ea1c, 0x11bf31d5, 0x1e725407, 0x838d09a8, 0x11b596ea,
+    0xa037dec7, 0x2944e1c9, 0xf5b04a28, 0xe844f678, 0xc8eedf2d, 0x3a1f0072, 0x526b8cbe, 0x4f1b8455,
+    0xefe3ba73, 0x7ebf37bb, 0xc1eeec4f, 0xe4a05c06, 0x99b0208b, 0x4ae9bc34, 0x7eeb8582, 0x101264cc,
+    0x90b16346, 0xe3965efd, 0x5b69aa9d, 0x47e44320, 0x42cf17d0, 0xf05ac8c1, 0x21821f9f, 0xbcea1610,
+    0x27a2a225, 0xcf33d14a, 0x570087b7, 0xb00a6c24, 0x6a896c51, 0xf3d16d08, 0x29edf526, 0x67c4ab8f,
+    0x29e0715b, 0x76de32ba, 0x152a2f13, 0x98f647e7, 0x7068661c, 0xebee70ef, 0xffce1b08, 0x10465228,
+    0x57af4311, 0x0a4462c5, 0xb00c38b2, 0x061bdac5, 0x5d1dbe6d, 0x4b3a9d8b, 0xc02d8d67, 0xe93f622b,
+    0x86c3be62, 0xac6cd748, 0x20d0510a, 0x0b959be7, 0x766694da, 0xc8c1a08e, 0xffef95b8, 0xa310ec40,
+    0x654e09d4, 0x3ac85845, 0x1a766bec, 0x95b619d1, 0x314c5ec9, 0xdb50c0c1, 0xd6f12694, 0xc7590956,
+    0x1baacca1, 0xb23b31cf, 0x4e59ab4a, 0xcfa66da4, 0x3e910e4e, 0xaf0e53aa, 0x40ac4f77, 0xc265b21e,
+    0x08bd04aa, 0x03844d25, 0xcf48160e, 0xbedae403, 0x90effcbb, 0xb689f016, 0x1a94ff0b, 0x75d99f56,
+    0x9ec90017, 0x32e74158, 0xf66a6129, 0xafd7cdc2, 0x9f7fe471, 0x5e0b3af5, 0x519b6cb8, 0x28a393ba,
+    0x306fafb1, 0x88e47d6e, 0x64b5c6e5, 0xd81d0049, 0x748d7f2d, 0x8ca01db2, 0x77fe59e6, 0xa8b53970,
+    0xbdd6c7fc, 0xd51747d4, 0x20cc23ce, 0x298db3a6, 0x9030c2c0, 0x7cb026c8, 0xb788f217, 0xde0dfbf5,
+    0xbf21a38d, 0x862942fa, 0x128394a1, 0x1af7ed01, 0xb1b119e3, 0x5fe1935e, 0xf2bc7c5f, 0xa6674712,
+    0x00f22eed, 0xdb83799a, 0xf5477ead, 0xa46535fc, 0xa0224b2f, 0x5ea892c9, 0x368afa0d, 0x9ad68574,
+    0xc09fffb9, 0x8da1cf10, 0xcdc93d8e, 0x512bcc98, 0xcdb48511, 0x8ccd3dd9, 0xe8e0b219, 0xf8063bc8,
+    0x928de304, 0xe09edbd6, 0xa9b59a41, 0x4336f0ef, 0x8c6797dc, 0x10a40f4a, 0xc649e456, 0xb79e970a,
+    0x266a2d11, 0xc2f20b14, 0x8c55ca2b, 0xa7c7aa89, 0xfdc6d93f, 0xc5f0a2f4, 0xe7c0489c, 0xc6d305d9,
+    0xf0c32135, 0xc245dee6, 0x050b9d49, 0x522e93e5, 0xf9360ae9, 0x6113d02b, 0xf89d7d05, 0x517ace33,
+    0x05b31b77, 0x935bccd2, 0xdcf57226, 0x5a8c0bb8, 0xf1e279a6, 0xfa2f09e1, 0x69100b67, 0xa7517f1e,
+    0x2ae3fbf0, 0x1bbe7298, 0x52e5d06f, 0xef2cdfd8, 0x846da156, 0xdd697367, 0x9014ca96, 0x2237a6c9,
+    0x9b9a6417, 0x5e206058, 0xf988d5e3, 0x6e3982fa, 0x7e29b68a, 0xbcad9b7d, 0x67e4276e, 0x61fc5330,
+    0x7b926df2, 0x4f0ac5c8, 0x3e5ffc93, 0x5ef09f02, 0x8de2e89b, 0x7c3c4494, 0x79479fdc, 0x522073bc,
+    0xa9b513e3, 0xe9712cda, 0x1d107f54, 0x04d95813, 0x4552b54e, 0x0ddd3993, 0x21c26f19, 0x0875b4e8,
+    0x6e6e85af, 0x376ededf, 0xbcaaf7e2, 0x4b443e70, 0x5f7c3fcb, 0x2a61baed, 0xf96f0e5a, 0x69b29812,
+    0xc757c305, 0xdaa930ea, 0x7e1b63c8, 0xba874674, 0xb918daa2, 0xb39fcdb6, 0x93b83cd1, 0xa217bded,
+    0xfc84749a, 0xd2249e6d, 0xe1609136, 0xfe6a82de, 0x99e66999, 0x0ca0c68f, 0xad12b368, 0xd846f327,
+    0x1e71382a, 0x9f7d55f6, 0x8b22690a, 0x60f576c8, 0x7fc41dc7, 0x814617dd, 0xf85965a1, 0x45290f69,
+    0xb450abe8, 0xbc82eba7, 0xad9a7902, 0xf198bcdd, 0x49678672, 0x79ff97a9, 0x82339456, 0x0af5b9f4,
+    0x9dcb8ac8, 0x288654b7, 0xb65ba4d8, 0x05e47178, 0x96368197, 0x7b690120, 0x4b92d57f, 0x7a97ba4b,
+    0x870a2170, 0xa50bb840, 0xc09a55ad, 0xd1daf747, 0xd03a23a7, 0x55c070bb, 0x9c2e738d, 0x42cd91bf,
+    0xa74ef50b, 0xaff73889, 0xbb14306f, 0xc261e37b, 0x9da94670, 0xeb9e3b61, 0x30140901, 0xe80889bc,
+    0x72be1d4f, 0xa7f93951, 0x9ce1457b, 0x3766f611, 0xc94603a9, 0x193081e7, 0x24ca5169, 0x6cae45ef,
+    0x2f376797, 0xf558474c, 0xfc661cc7, 0x6d9b4825, 0x6d18ee45, 0x818aa04b, 0xe8e694e3, 0xa2797e9d,
+    0x33a44732, 0xf8ae0ecc, 0x8a3bf086, 0x1da79a82, 0x64553d7a, 0x36e94c3c, 0x19c0b1db, 0x4c072dd3,
+    0x6e1a1e6d, 0x08ded86c, 0xc1c9eb55, 0x72dee1db, 0x063d6ae0, 0x2fe497b5, 0x0327555d, 0x0f0c764e,
+    0x4cc74b5b, 0xc21b3fb6, 0xeef355b2, 0x6212f1dd, 0x58784e25, 0x37c1f753, 0x9596952e, 0xbd8fdab4,
+    0x71dfdc4d, 0x89ccee95, 0xc804c109, 0xe5b1c993, 0xd4db0255, 0xd75979ea, 0xc8f45445, 0xdb1814fb,
+    0x8b365b14, 0x44ec777c, 0x8282bcaf, 0x90f4a34b, 0xe94e2b82, 0x7aaad472, 0x37e5cfa3, 0xc321d189,
+    0xb13743f0, 0xc19e2501, 0xb584f7d6, 0xef468ad4, 0x5418b16a, 0x15b22a09, 0xfe43bd2e, 0xdf8d96af,
+    0x5d997a9b, 0x04d127c9, 0x760e81d1, 0x3bb48176, 0xf437ea29, 0x810194c4, 0x4c03e0d3, 0xd485afad,
+    0x8b2901bc, 0xc00bbf7a, 0x9556d8ee, 0x3d7f4919, 0xb2882e39, 0xe546f1d9, 0x9c160793, 0xb2f4f726,
+    0x11fb73ea, 0x8ac61949, 0x42396906, 0x6d49e71f, 0xe96833b6, 0x40314b17, 0x7bbeb82a, 0x857550f5,
+    0x7ffd1d08, 0x4f879a96, 0xb37e7c2c, 0x140755d6, 0x78c0e1da, 0x58bb58c1, 0xc8295f94, 0x3c84e5c0,
+    0x61cbf877, 0xa985030f, 0x3f328c38, 0x49cb7bd5, 0x5e304657, 0x80ef09e2, 0xf4f9a046, 0xc48f17dd,
+    0xc651cbc3, 0x1222b5a6, 0x2dab3865, 0xa88c1b51, 0x81a43cb8, 0x9eea89e5, 0xeb2ef99b, 0x8ec66aef,
+    0x646352e4, 0x4acec587, 0x001d59a3, 0xca0d3662, 0xdb8cbe64, 0xdb8d6c26, 0xdb1a3e02, 0xbe37ac3a,
+    0x68bc92c1, 0x3198cb6f, 0xa36ea140, 0xcd9a3a12, 0xa3820ce9, 0x468cf864, 0xe06ca618, 0xfb6119c6,
+    0x81a5c5fb, 0x8874348b, 0x9eec8806, 0x2630ca69, 0xf0ebde63, 0xadbddf0d, 0x8f9fdea5, 0x63da7c92,
+    0xdfd570c8, 0xd1e8bcd6, 0xc2ed54b4, 0xf2163149, 0x2aa65176, 0xad5a2d9a, 0x02545bc1, 0x9bef7b17,
+    0x0ec223d5, 0x9743e861, 0x6553878c, 0xfb8c1de7, 0xf9810b8c, 0x3671537c, 0x32ccc080, 0xf3ca2022,
+    0x0f29c388, 0xffb1fdf1, 0x98821292, 0xed59aed7, 0x505c2d38, 0xb6b91310, 0x21f1def0, 0xc206838c,
+    0xfe68e29b, 0xd7964786, 0x7e05ebf2, 0xd4580931, 0x217ac0d3, 0x83c9f339, 0x3932827d, 0x95212638,
+    0xc4b25e4a, 0xfceeff5b, 0x5a5e76d4, 0x61ea1f85, 0x57c684dc, 0x45d5c5f2, 0xcfe2fd45, 0x4d97a365,
+    0xf63d242f, 0x729288f4, 0x7170c90c, 0xdfbf7e02, 0xefcf3126, 0x087997b7, 0x18306cac, 0x1376d6d5,
+    0x62b8da0a, 0xaaa06422, 0x8265f0c0, 0x2ff47ee7, 0x9f2efc49, 0xc087292a, 0xd45e992e, 0x97f2b409,
+    0xa9cf8b66, 0x8897e704, 0xe702497f, 0x1d6564dd, 0xd60334d5, 0xb3662a03, 0x22ee6ca5, 0x043ae745,
+    0xabc9eb5d, 0x9bbc0102, 0x0f339ce0, 0x24ad409e, 0x80794b2f, 0xd9395559, 0x59f384a3, 0x915f837e,
+    0x3504090c, 0xb203a122, 0x13e4ad64, 0xc12f59d3, 0xb3cf9d36, 0x00fdee6a, 0xc07971a5, 0x21c8f061,
+    0xc6a18415, 0xcefd9703, 0x35d68d35, 0x0e5854a7, 0xf7f2d038, 0x3b5ebb20, 0x12547aed, 0xf3bfe624,
+    0xf19565ae, 0x78d67d5e, 0x3aec4adb, 0xd43ef3df, 0xca7a914f, 0x0255222c, 0x921d7a8d, 0x55009443,
+    0x68a52880, 0x67a52c9b, 0xe4fca44c, 0x258500e8, 0xb89519ac, 0x1a3effb8, 0xa0fc5d23, 0xec8d7c5e,
+    0x77d510a6, 0x332c0a43, 0x94cb80e0, 0xb423c023, 0x0ef40851, 0xd6b1c11d, 0x6009201d, 0x42ce4ae8,
+    0x9f4c270a, 0x553a60db, 0x61d311d2, 0x7beb6037, 0xdccefc10, 0x38a4b3a3, 0x3dba38a3, 0x57311604,
+    0xf144d14f, 0x0c357fe9, 0xfac68958, 0xaef1b891, 0xe836d2d7, 0x18e2105e, 0x44cb6783, 0x6127ffde,
+    0x71cb4fb8, 0x41e28de5, 0xbafb57a7, 0x475b3d33, 0x9a809f69, 0x488c66a7, 0x2fbd79be, 0xcacb7bd7,
+    0x7d6b9c76, 0xf22e0488, 0xa65cfbf8, 0xa93109bf, 0x32284565, 0x27529cb4, 0x6e7c2d66, 0x55b06615,
+    0x68d38ccc, 0xe7bb1550, 0x2cb55ea4, 0xf8fdff15, 0x13b8892c, 0x9c43130a, 0x1333ddf6, 0x45e840cb,
+    0xbb10f080, 0xddbaf40b, 0x8d702adf, 0x718083cf, 0xa7bfa2c4, 0x05cfc5e1, 0xac6bff7a, 0x4c45d437,
+    0xc56502c4, 0xdf00fae9, 0xb0033332, 0x76bc4e8b, 0x50a47218, 0x92411900, 0x2f841943, 0xa94b7d25,
+    0xcba38a78, 0x64d3b887, 0x1f9e9cc6, 0x06c363ac, 0x8fc78d32, 0xa6513aa2, 0xe80d6684, 0x6312c006,
+    0x5b9f66c5, 0xfec0f23d, 0x39fef83d, 0x54e36666, 0x1684e9c7, 0x5f065f1b, 0x712fe257, 0x391f1bd4,
+    0xafb25383, 0xe07c0b90, 0xa205fa48, 0x759f6f1e, 0xe4ce9b59, 0x81fe3cbc, 0x387d9585, 0xbdd2a954,
+    0x1ef5d31e, 0x42ef7d54, 0x0e1d2109, 0xb548a259, 0x5071a759, 0x2605754b, 0xe488852f, 0x58454761,
+    0x835bb633, 0x6273c502, 0x394ee855, 0x008a112a, 0xd943e0e0, 0x3d09fa07, 0x4289250a, 0xd9216070,
+    0x57904d89, 0x58c3f108, 0x4556d11c, 0x9d5758ff, 0x0751d1a1, 0x09caf254, 0x61ee9972, 0x3bb69072,
+    0x0e4c024c, 0xae961d0a, 0x4419c857, 0xb19725a6, 0x150e1743, 0x7846aacf, 0x0c757df1, 0x89f30dc5,
+    0xc3409e62, 0xa4d2a7f6, 0x06312ccb, 0x89f861cb, 0x1e2bf28e, 0x7d32d979, 0xce179fc1, 0x48648b62,
+    0xa22b7a1e, 0x728609b9, 0x0cfac132, 0x06b08fcb, 0x71e63bce, 0x8a8e5dda, 0xce43520c, 0x1ab2a67b,
+    0x7c77babd, 0xad4821d9, 0x5333812c, 0xd765b427, 0xa3995a09, 0x4bbadb95, 0x085d8f23, 0x2d5bda23,
+    0x815fdfa3, 0xde5dbb3b, 0x641c606a, 0x78e3c6eb, 0x7ecdd9f5, 0x3d987185, 0x731dd8d0, 0x518bc981,
+    0x8a6dc880, 0x77492c5a, 0x52ff7c92, 0xf88caccf, 0x6317643f, 0x729ae7fd, 0x156f9593, 0x0c88ebe0,
+    0x5e3bfce1, 0x342e12df, 0x614e03b1, 0xfeb6d395, 0xd499f3a8, 0xce9af293, 0xf63d00bd, 0x33cac2ee,
+    0xec5a16f1, 0x9e95ac40, 0xefd9da4d, 0x95ecb5eb, 0xe3850c96, 0xdc4a53e5, 0xae9773d4, 0xee143d18,
+    0xb788437c, 0xc5b2b161, 0xbefd3cdc, 0x24bc6ade, 0xde79caf6, 0x3f40570b, 0x87a1c801, 0xbcceba2e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000001606938044258990275541962092341162602522202993782792835301376 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x27540390, 0x98a562db,
+    0x00000000,
+    0xbe656b7a, 0x395c8ec6, 0x519f5596, 0xb43408eb, 0x804d3a24, 0xe0777148, 0x1466b786, 0x84ceb049,
+    0xb696d7a5, 0x4170cd7c, 0x85d6a922, 0x0641317e, 0x8b1f2c5e, 0x5f926724, 0x15981c96, 0x6f7d82d5,
+    0x18fd5bf9, 0xb87c8f7b, 0xa66d43be, 0xb4a3c8d0, 0x5bdd9f3a, 0x73767cda, 0x27f63768, 0x36a3e4cf,
+    0x859fd13e, 0x8e4980b3, 0x0089a3a7, 0x2c586264, 0x734966e8, 0x19760cb6, 0xf93bbe6e, 0xe5e9a46c,
+    0x3e1f341a, 0x84858730, 0xe0c83a07, 0xe85d5167, 0xb504deba, 0xfe319576, 0x423e5457, 0xde41ff09,
+    0x17712894, 0x9420ae4a, 0xe59ca502, 0xa7183a54, 0x6b2b57f5, 0xf372efb8, 0x921d706b, 0x805359d1,
+    0xe63a01fe, 0x398ac934, 0xc086f45b, 0xb592b1cd, 0x7e30d742, 0x7c8b1cf4, 0x27f76b4b, 0x737e04c4,
+    0xc91380dc, 0x67dbff81, 0xe95bc977, 0x23cbce23, 0xa2b1e110, 0x283cb117, 0xa2f01f5f, 0x53e1be8d,
+    0xc0b762ed, 0x1ce9141b, 0xb5d615f7, 0x8b5b415a, 0x7e4cf160, 0x06560b75, 0x217b4f48, 0xf818e12b,
+    0xf75c58f1, 0x356801fe, 0x3bd02e3d, 0xc0592ca9, 0x7e7051e6, 0xc084e2e6, 0xac2facf7, 0xeb99218e,
+    0x6a57a8e2, 0xb617ea44, 0xab6dfb13, 0x6b59edc9, 0x6a0702ac, 0xd1180689, 0x6d6b2d1a, 0x47290f4b,
+    0x900d1dca, 0x27006840, 0xad6fdd98, 0xd6ab57a8, 0xe4904922, 0xf64ebf9c, 0x780b1c1e, 0x6fc2b8cf,
+    0x323935e3, 0xf1fe63ce, 0xb8886ea7, 0x78478341, 0x0d78eca3, 0xfe97ac04, 0x6b8cbe5e, 0x9d05439a,
+    0x8fb60c3a, 0x13ddf4d7, 0x37102507, 0xf9b130f7, 0x0e57df5e, 0xe1231fdb, 0x1bd75ca6, 0xdd9e695c,
+    0xf2c54185, 0x4f41d116, 0x99d4c492, 0x091843b0, 0x67583bee, 0x209eaabb, 0xe96db331, 0xdc32268b,
+    0xa8b0a079, 0x05f1707c, 0x861a04f3, 0x06403eba, 0xd9abab85, 0xe2484d3b, 0x2ab0a95e, 0x07ba58ba,
+    0xc7dae1e1, 0xeb86e02c, 0xd6adeaa0, 0xd6b5c622, 0xe896daf3, 0xf8c4d7f3, 0x6bbd428b, 0x347842e6,
+    0xbe60a541, 0x2ed80618, 0xc6f05fad, 0x37b646f0, 0xdad2772f, 0x0ad71915, 0x947716f7, 0x992bfb04,
+    0x7f53224a, 0xeceb3938, 0xdab2f7e3, 0xf203ab01, 0x2a2ed3a3, 0x80b97b23, 0x73f1ae3d, 0x9609ccc0,
+    0x31c44287, 0xca7767e7, 0xb86c57a7, 0x316b1a87, 0xf07f29e8, 0x901f9c6e, 0x8d698d84, 0x97b07767,
+    0xd91f21ee, 0x6c1d66b6, 0x20c744fc, 0x32ae796d, 0x29d8ab1e, 0xabf3db7d, 0x81084652, 0x7a7a671c,
+    0x6cb3c150, 0x33d2a803, 0xeb8b6f9b, 0x2ab0e417, 0x134be6f9, 0x9fa051ae, 0x762e9d28, 0xd7e95fdc,
+    0x6e0c41e0, 0x02fc0e3b, 0x81db2e4d, 0xd79ac0cf, 0x2815bac9, 0x470a0456, 0xf891fc22, 0xae5ae401,
+    0xae0c6e7d, 0x5de73602, 0x872aa0e3, 0x2dce58fe, 0x9fe213e4, 0xc11b2aa1, 0x6c428fd9, 0x7970309d,
+    0xaa267a47, 0x812bf01c, 0x56a3bb81, 0x0d1b5654, 0x20c80a76, 0x2c47a242, 0xe17aa577, 0xee71b1d7,
+    0x3523470e, 0xb4a172fe, 0x6ad3ace3, 0x6b2f6cb4, 0x6e9511a3, 0xa9567673, 0x792e52b4, 0xcc50e3eb,
+    0x7b29b54c, 0xb7d332a2, 0x13fb05d1, 0x2d7af0d3, 0x57f7a468, 0x42441272, 0xde2a60e9, 0x08d90f5b,
+    0x76012830, 0x025247f9, 0xbdf1cea7, 0xe35e1078, 0x338211cb, 0x798ad1ab, 0x28f6e565, 0x3abf14c4,
+    0xd4bb59fb, 0xbc1e94ff, 0x94f5c8d9, 0xf7ab070c, 0x4351e8ac, 0xda164fb2, 0xdcef8bde, 0x7d1a13a1,
+    0x440f652c, 0x19a9f4f8, 0x5efeb1e8, 0x0dfb6510, 0x0b9e337a, 0x4d6d91c2, 0xf9098812, 0xe962319c,
+    0x7d6b783d, 0x66e607ec, 0x9c896dc0, 0x35808a3e, 0x596260e3, 0x71606ae5, 0xc6fbdf1e, 0x7a6486fc,
+    0xdb38828e, 0xde71acce, 0x52f8b42f, 0xc8d1c9b8, 0x7a7d0fbd, 0x8c89c3df, 0x080b75ae, 0x8da25dc8,
+    0xa8b8ddb5, 0x35167a41, 0x854bb4a2, 0x0fdfff4f, 0x1a710eea, 0xa217f275, 0xeb83eb63, 0x31832d5f,
+    0xc581326b, 0xa69d0171, 0xb6d25274, 0x3bdef2e4, 0xa790bc03, 0x1465837e, 0xd56e5a2e, 0x53e78053,
+    0x72f42b52, 0x4226008f, 0x30a90c4c, 0x00186870, 0x42fadb6a, 0xfc9ad55f, 0x85c6a43d, 0xccd5a559,
+    0xd62812fe, 0xabee0d1b, 0x376952ab, 0x6bf13569, 0xb152060e, 0x3f644108, 0xcb4caf15, 0x1fa99710,
+    0xf48e921b, 0xa2b18cf6, 0xc43a00b3, 0xf6b49127, 0x85052ef4, 0xc98b8e7d, 0xadbec6c9, 0x8cc14f1a,
+    0xf687721a, 0x4d5eae5b, 0x2a313857, 0x855493be, 0xb8df874c, 0xee5f5f04, 0x6d6f8e9f, 0x59673c3d,
+    0x4732799e, 0x5db30bd3, 0xc52b8401, 0x1e1fae2e, 0xc4a84b44, 0xcff2d7ee, 0x7aa86542, 0x20818242,
+    0xc87730f2, 0x593adba3, 0xfd5fdff9, 0x04b1f32c, 0x0faf9917, 0xa04ce6c9, 0x19dbf01e, 0xbdcf329c,
+    0x2c782b18, 0x409ea6b5, 0x61e5b23d, 0x5d59afd5, 0x5eb729b2, 0x6c137226, 0xdd6fd90c, 0x656ab181,
+    0x2080aeec, 0x2b5ca45a, 0x5ac09939, 0x27016640, 0x137fa31f, 0xc25bc90a, 0x7d14cfbb, 0x54a8ad60,
+    0xd3ae6675, 0xc96cbff9, 0xbd51c0c4, 0xe772abdc, 0x629f0363, 0x519614ef, 0xdeb5ea20, 0x366983d7,
+    0x0e02fb62, 0x8a9fdf1d, 0x3761bafd, 0xf983ffb3, 0x39c17c48, 0x368b62fd, 0xf30aee3c, 0x01964b19,
+    0x4966bee6, 0xa54f0bef, 0x6c349556, 0x094d08d8, 0x75541270, 0xc6f5430e, 0x5d8a039d, 0x886dc23a,
+    0x6e313be4, 0xba3f44f4, 0xe1cc5545, 0xc7b10159, 0xaa3a2b7a, 0xe514f6b5, 0xd4d47361, 0xd6b9ea52,
+    0x5ca5248f, 0xd59e08e3, 0xd1c5b901, 0xcb7dff1d, 0xd8991fa0, 0xa4728b4e, 0x63a60854, 0x2248ad35,
+    0x3c045aa0, 0x8d8597d6, 0x1c287ebc, 0xf825a078, 0x7b657ed3, 0x2f114058, 0x281a0e1a, 0xae0875aa,
+    0xcce9c5df, 0x6afe4bb4, 0xfb0cb662, 0xe88238e6, 0xf20aac6b, 0x9932cf97, 0xd916d31e, 0xe6fc3f15,
+    0x9d63e304, 0x0cd0fb46, 0xaebd5e3e, 0xc0ec1392, 0x93170b04, 0x60f511bf, 0x9db156a2, 0xcfaf18df,
+    0xabc6f8ac, 0xf12fc419, 0x0f1ed6da, 0x43cb104d, 0x7ef3ddce, 0x61e9ebe3, 0xd14b799c, 0xcf72169f,
+    0xd318e451, 0x72106d64, 0x4dd2a100, 0x923bc48c, 0x2415a10e, 0xb69bd23a, 0xd752ab30, 0x942f0234,
+    0x91b9a3c6, 0x6dcf1027, 0xdd37003a, 0xde6eb1c9, 0xe4d03d2e, 0x94753a3f, 0xff63e13a, 0x7a93e57e,
+    0x82770894, 0xfb71af79, 0x60f7c309, 0x98293b7f, 0x59a4c861, 0x14fbd278, 0x015da418, 0xf84ce4b5,
+    0x0d5867fc, 0xae26dbf2, 0xdd302e89, 0x40f9ac36, 0x8b62890a, 0x35a0fb1f, 0xb9263eaf, 0x1b8a6b16,
+    0x8a8b978f, 0x7b7eccc0, 0x26e9d579, 0xba576159, 0xe216bdb7, 0xbcbb444b, 0x3b7c6a03, 0x41d76543,
+    0xbbd2bbaf, 0x033af190, 0x11cfa0fa, 0x6d6a0192, 0xe3bdee07, 0x5e7b0ea6, 0x47a973b9, 0x66c02cb2,
+    0x27d99655, 0xddfc7378, 0x3ed762c7, 0x89d52ded, 0x871271c7, 0x82bcaa5b, 0xc4123e2a, 0x30abffd8,
+    0xbdff34b7, 0x05d9c839, 0x856b5044, 0xae8f19ac, 0x8b935c5c, 0xb27b4382, 0x8c1359c0, 0x9e8b2bef,
+    0x66777135, 0xfe0320c1, 0x496da144, 0x197b0cfa, 0x48dbbedd, 0x98fefaf8, 0x0d9f209e, 0x603c19ed,
+    0x80c6cdae, 0x0ba801ff, 0x62383a36, 0x29b98c39, 0xcdf98bc4, 0x711f3c0c, 0xadc436f2, 0xc131bb70,
+    0x19cf808c, 0x0f09b45a, 0x2ae70d7f, 0x7f1f732f, 0x5450118d, 0x30ae96f5, 0x54989f40, 0x40382d4c,
+    0x11a58f27, 0x75757753, 0x7d53d341, 0x1e5e1789, 0xfdaf1062, 0xc049b59f, 0xa53c27da, 0x237eefde,
+    0xf807501a, 0x5afdf755, 0xf1da62ea, 0x2b2b7261, 0x62e2aa89, 0x3166561f, 0xbe19e010, 0x2f4d15fd,
+    0x0c33cd51, 0xec688226, 0x0624f138, 0x9a8195e5, 0x903b2849, 0xa0f77fc5, 0x72b2c6de, 0x703ec9c5,
+    0x17486368, 0xaf033144, 0x27387975, 0x449ca1e1, 0x299f03c3, 0x3dd8fc73, 0xb2eebdab, 0xa703b8e7,
+    0x7afc0fb5, 0xd6f6353a, 0x2dafc741, 0x66e7c181, 0xb8f786e0, 0xd21007ff, 0x72cf9420, 0x364170f6,
+    0x1d245aa9, 0xa7b81b5e, 0xf1ce7e02, 0xe4130f46, 0x27597482, 0xf32f2e80, 0x74a40d77, 0xb6a8c56c,
+    0x708dc9bf, 0xb3bb4698, 0xda09f5ae, 0x35d71e58, 0xaf880d1e, 0x9275bbca, 0x6a4cbaf6, 0x077a7ea9,
+    0xe2f8c542, 0xec3535ee, 0xa1471b9f, 0x40044a77, 0x1664dbf0, 0xca8f01cd, 0x84ebe26c, 0x67249bb0,
+    0x8548942c, 0xb333955b, 0x72693b1f, 0x9cbf94aa, 0x497565d2, 0xd587a9a3, 0x98cbc8eb, 0xd838b92d,
+    0xd71b7b26, 0xe0d525af, 0x61efef5d, 0xe578f29e, 0xaa644729, 0x0a1f1089, 0xd7b75832, 0x42f4c32e,
+    0xcc47e885, 0x5578154e, 0x14959a93, 0xca2bb744, 0xd987cb45, 0x698ec1e2, 0xd8cbbd2f, 0x8ca929c2,
+    0x70ad7b38, 0x422ce361, 0xc386f3d7, 0xf17eb7e4, 0xd149dfd7, 0x694f076c, 0x8fbdb000, 0xd689d6c7,
+    0x559b7335, 0x55451172, 0x631053b0, 0xce74d6b2, 0x9b2cdfb5, 0x9e503369, 0xe1f66fa9, 0xb7967ec4,
+    0x5439dfbc, 0x70b0059a, 0xde59b98c, 0x43ff0a14, 0x0117518f, 0xa4488758, 0xe8396afc, 0xa6ee08a5,
+    0xc7efe21e, 0xe8574f38, 0x7833d0a8, 0x06e06494, 0x886451e3, 0x75c921d7, 0x9e1b74d0, 0x2e6879a7,
+    0x2ca54860, 0xf9fb0d8f, 0x1492dbdc, 0xb8797d00, 0x2a683ec1, 0x612be2ef, 0xaafa5397, 0x7cb19f91,
+    0xa21006db, 0x7e1d64f2, 0x2a5a7773, 0x3fc1fc9d, 0xb201b1fc, 0x284f5be4, 0x8921b20a, 0x2d10f5be,
+    0x8076bf0a, 0xe3e4b3ad, 0x35eef892, 0x4565e611, 0xfb026c21, 0x95dd329b, 0xdcb0fbcb, 0x2ea5df92,
+    0xc14fb2ed, 0xbb71c6a7, 0x905565d2, 0x87d7e148, 0x0ede218f, 0x71ea85f4, 0xc57a4445, 0xc1b31048,
+    0xcb053fc4, 0xb6426539, 0x12e5ed68, 0x60e16a8a, 0x15390b91, 0x05cfb10a, 0xc2d3cfb9, 0x4d727587,
+    0x35038318, 0x8e7f89eb, 0x5529c6d9, 0xce30cf34, 0x36d3f180, 0x7c768461, 0xb4379f6e, 0x94422463,
+    0x88d495a9, 0xa06d2786, 0x949d8cfa, 0x279baf9a, 0xbdd39374, 0x1c46ff76, 0x803ad91d, 0xfb13a9a0,
+    0x8b7f3e54, 0x7b21a558, 0x40dcd7d4, 0x076acf33, 0x8a7f87f7, 0x66ca673c, 0xf95e51fa, 0x5c97e96c,
+    0x2432f5d4, 0x160c2340, 0xb5260111, 0x6c3362ed, 0x0d1ee66b, 0x4d8c9e50, 0x92becd73, 0x1dd5245a,
+    0x2389f025, 0xa2a0da95, 0xdccebc6c, 0xc0243883, 0xcd956a0d, 0x4a17a437, 0xb433dd68, 0x7547a5b9,
+    0xa9c569e9, 0x09260cdf, 0x506d1f8c, 0xceaf7560, 0xb8250ad4, 0x8d73383a, 0x2c6bd3d5, 0x4dfd3dfa,
+    0xb0a22de7, 0x49bf55d0, 0xcb2bc99d, 0x492a417c, 0x1028db79, 0x5ee052b2, 0x576de524, 0x1e466432,
+    0xf5884dda, 0xeb25fe31, 0xceda9c58, 0xec5017dd, 0x002f938e, 0x57194dc6, 0x4406447c, 0x7ceb367e,
+    0xe6585d40, 0x2b64dd72, 0x3049309f, 0xe764171a, 0x3ac3f60c, 0x4f522538, 0xce7d1b5c, 0x194d559c,
+    0x6f812db3, 0x72ebfb7f, 0x1fff43dd, 0xd3fd20ff, 0x09a73a9e, 0x7be66917, 0x65135d9d, 0x4e45efd4,
+    0xad509814, 0x5ac02ec5, 0xefbf679f, 0xbee381bd, 0x2773fa9d, 0xa068aff1, 0xe4294e30, 0x3fbf06a2,
+    0x831c0e14, 0x007c93b3, 0xb8e407c8, 0x1cd08793, 0x21448feb, 0xd9159de1, 0x230a05e0, 0x4e19d4c9,
+    0x59fe4c88, 0x1fd51f01, 0x0fcb6efc, 0x1bbdc37e, 0x5f159d0d, 0xc2a17e99, 0x367a3771, 0x60a90757,
+    0xf00a396a, 0x3e8efe36, 0xdf248eb6, 0xb5f34c23, 0xa0efff47, 0x8b43d5d8, 0x2793ae96, 0xc8a62859,
+    0xf2bb9c74, 0x6f19f6cd, 0xb154ae40, 0x81ea5df8, 0xc4d4177e, 0x0520dacb, 0xb7b7b361, 0x57e3b44d,
+    0xdface911, 0xad5d9e6b, 0xff1b5257, 0xbafc7b7c, 0x3df620e4, 0x5aa77be7, 0x3f315f79, 0xebc99ba8,
+    0x27b5a7ed, 0x33d2c95c, 0xad05a59c, 0x8a3b34b2, 0xb97a22f4, 0x858bc3b8, 0x389fd006, 0xa85cd015,
+    0x489a6140, 0x9bf84112, 0xa7f33ea4, 0xab674478, 0x1823d64e, 0x1ea691b7, 0x77346a1a, 0xeec2b5ae,
+    0x40cbe0c8, 0xf105439b, 0xd1d650fa, 0x87627479, 0x70512218, 0xcc026f9f, 0x5461846f, 0x65e6786d,
+    0x7f5aebf6, 0x95cf5768, 0xd7fe882e, 0xaa8b4300, 0x073a906f, 0x33ddc96a, 0x9b8cdb80, 0x524380fc,
+    0xc6d81e6c, 0x9d0791f5, 0x08e9b9ab, 0x2c9ceea7, 0x4dcbb3e0, 0x170d0430, 0x16a2b664, 0xeebef3b6,
+    0x8a9f4719, 0x0159b70e, 0x034d041f, 0x249a02e0, 0x08c83c85, 0x58890485, 0x0436a1da, 0xef5676ca,
+    0xebf1e2b4, 0x7814700c, 0x14cbfd71, 0xcba3205b, 0x784fd556, 0xc702b55d, 0x830f5d7b, 0x3aecff6b,
+    0x6fb55c88, 0x730c7332, 0x7c88fbd4, 0x9489cb87, 0xff9781a8, 0x873f5747, 0x8b5ae9ce, 0x8dc46f0d,
+    0xae509db9, 0xcce8c86b, 0x1968f9be, 0xd3ddfc38, 0xc02b6b46, 0xf833e3ab, 0x8be3be22, 0xcfb630b4,
+    0x60dd8607, 0x1f2c2229, 0x6ad95858, 0x2341877e, 0xe7f6a7b0, 0x2fd42f06, 0x0cf4f99e, 0x1ccad061,
+    0xfbe5647b, 0xf4125933, 0x33adcd14, 0xc832898d, 0xf7f4a489, 0x80572af4, 0x7fcd000f, 0x4a428c30,
+    0x3bde9e18, 0xcc5b1bc4, 0xf2f26442, 0xa6bb4182, 0xef296bf0, 0xfd3daff6, 0x5796805e, 0x1caa8392,
+    0xe82ccacd, 0x559ce5a4, 0xf5886f49, 0x60814dff, 0x337788dc, 0x6ec2f151, 0x4e7b48eb, 0x0fce3dd4,
+    0x4bd7e07a, 0x4e9d17b9, 0x2883cab0, 0x68b05d2b, 0x0a83d7ba, 0x208c3b52, 0x2e28de81, 0x277dcf0c,
+    0xd6382f51, 0xcbaa96f2, 0x5b0bb790, 0x4ee106ac, 0xd85c6d00, 0xcf7bdafe, 0xaf5ed05e, 0xddb50cb5,
+    0x93da23cb, 0xf1fbda91, 0x2b9c38f6, 0xa0e6e463, 0x9c50609e, 0xd5cc4dac, 0xa517195f, 0x8b155a25,
+    0xad09da8a, 0x67b1cb88, 0xe4db1ad4, 0xb24d74ee, 0x121ad763, 0x6a890cfe, 0xd675d5ae, 0x5ae6cfaf,
+    0x678bd8a3, 0x8c3da5db, 0xd32778a8, 0x4d0ea065, 0x24a239ea, 0xf012c106, 0x323db2b1, 0xd939c486,
+    0x6eb5fcf2, 0xd7938b03, 0x84c4dbd7, 0x7fa94306, 0xf7a6c368, 0x402fad6d, 0x6d2707b4, 0x400d6519,
+    0x9fd9c93c, 0x1cabe0ca, 0xdbaa0c70, 0x5cdb5e6e, 0x8e751eed, 0x7f9b8820, 0xa46ea182, 0xf879eeb7,
+    0x79ec5f03, 0xc27b17fa, 0xfe45ac7d, 0xc63df520, 0x60def589, 0x6df3cc12, 0x6e700e5f, 0xb72d9374,
+    0x17e391a0, 0x2804da00, 0xa484098f, 0xbf803016, 0xa98b8ef6, 0xcff39567, 0x32b1eb89, 0xf5d7780c,
+    0xa29a073e, 0x00bfc890, 0xc1ba63ab, 0x04e23b82, 0x637102c0, 0x18577a0b, 0xd7c1f987, 0x2ada57bf,
+    0x08f95a44, 0x595d928f, 0x083adaf9, 0x9f9a7084, 0x7507623e, 0x23e77ed5, 0x66b8ced8, 0xc1abc296,
+    0x6872ff07, 0x56421a02, 0xd37af219, 0xed1b1d9a, 0xd68a6eff, 0xbcb9c834, 0x6cee8ba5, 0x88a3a86b,
+    0xbeca22fd, 0x406a42b9, 0xc99fa357, 0xd729b33c, 0x7d9f2434, 0x1c29a9d9, 0x0979e289, 0x006fda05,
+    0x7add96a7, 0xcb9dd51f, 0x8f6c38c3, 0x07134049, 0x40b6fa9d, 0x528b49f8, 0xdfe4633d, 0x5293e2e9,
+    0x242346bf, 0xba4112b0, 0x6ab57e50, 0xeaffcf3d, 0xa8c58471, 0x6aa138c5, 0x73c0c20f, 0x2ab9a8f6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000803469022129495137770981046170581301261101496891396417650688 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c8, 0x4c52b16d,
+    0x00000000,
+    0x9c1c7843, 0xc2c1b4eb, 0x0bac39bd, 0x39d37aaf, 0x8297f8be, 0xf7de965c, 0x11576384, 0x63fb016b,
+    0x32f506d9, 0x38bc5577, 0xddc1fc86, 0xd9ae1b82, 0x44beeeac, 0x158ec9bb, 0xb3fe2bf2, 0xd594cab6,
+    0xc7c7db71, 0x34e7d9ed, 0xb6570573, 0xe91c8c4a, 0xa2db8e69, 0x088dadf8, 0xf3e4f0be, 0x491d0e5e,
+    0x7eb2c043, 0xa3785f67, 0x2250155b, 0xa5921bc0, 0x9cbdb083, 0xd34754dd, 0x4c79ccea, 0x57990954,
+    0x612f9d9a, 0xb3ee1e36, 0xd711e774, 0x8ece9c07, 0x01cbca18, 0x8a033a88, 0xfc1b7a78, 0x966c77fd,
+    0xa1851fab, 0x90c984c5, 0x9b07a5df, 0x09f03d14, 0x73c3dbbf, 0x1d57391d, 0xeda24c1d, 0xd97b1788,
+    0x5dde8bdb, 0x0f8b5a72, 0x82f970df, 0x5972b31e, 0x2a1cb292, 0xfdd1a339, 0x62401975, 0xa69a4c70,
+    0x7bfd6a81, 0xb61b5447, 0x54a4281c, 0x7acf2459, 0x1afae49b, 0x75f7374b, 0xe5a671dc, 0xd37fa569,
+    0x60acb98e, 0xcacf30ea, 0xc80b637d, 0x489fe819, 0x8970f6cc, 0x7272ae32, 0x708a40b7, 0x9a60396f,
+    0x84d0d308, 0x358da87c, 0x15f5019c, 0xd12212dc, 0x773679f4, 0xa0d08f8e, 0x0bd63f13, 0x75824606,
+    0xcd73a229, 0x6247dea4, 0xf12656ee, 0x3149e296, 0x5ea0675d, 0x5ba6929f, 0x62a984e1, 0xb3adbe56,
+    0xa6cc9a2c, 0x2346144d, 0xb85b2ddf, 0x84e604da, 0x1462ef0b, 0x85c35b5c, 0x514e1234, 0x8cc6e0f6,
+    0xbc71f696, 0xd9cf5d3b, 0x3c8fe7b5, 0x52ee8a6a, 0xb3a56322, 0x815a7124, 0xe3619767, 0x02ef1bd9,
+    0xa407244b, 0xbef25152, 0xb479134b, 0xf0e166ac, 0x9023e68e, 0xc613e1f0, 0xd634c08a, 0x9c2efc98,
+    0x2c8ea984, 0x0a8a3e7b, 0x91f7fcd0, 0x0d09c3d0, 0x737673ad, 0xc4882197, 0x4d076aff, 0xbacdd872,
+    0x7a1fb59e, 0x68327900, 0xca378868, 0xee309fb0, 0xae5f322d, 0x7eab489d, 0x878a5701, 0x68bba5d6,
+    0x33f5b39a, 0x99f0d877, 0xea37b3da, 0xede340ca, 0x87a2eedc, 0xf90488f4, 0xafc1932c, 0x74d40b95,
+    0x56324779, 0x479b4253, 0x47f4951c, 0x80710b10, 0x6498a53e, 0xc82165ca, 0x86b988c4, 0x7a60e258,
+    0xa5d84605, 0x87542d20, 0xffc84e4b, 0x683609e4, 0x44acceb1, 0x8ea4e47a, 0x533c593f, 0x1b57a3b9,
+    0x01e34683, 0x3780b4b8, 0x43880617, 0xc17b745a, 0x59060349, 0xc3593499, 0x8f09d4a3, 0x8b0ed479,
+    0x84a9eb3a, 0xc7e4439b, 0x02f16abe, 0xdb91159c, 0x46472c62, 0x19f951a3, 0x95baba7c, 0x9a549ac4,
+    0x1fce4880, 0x952dc37a, 0x72ecc249, 0x62620e0d, 0x9e698238, 0xd49fb556, 0x33824f7a, 0xf4efb271,
+    0x3ae74a4b, 0x555ff4a3, 0xac061b67, 0x5e771242, 0x6e9ff642, 0x02fd3a2d, 0x8539ad6a, 0x670da8dd,
+    0xd33bc533, 0x85686aad, 0x003b12e4, 0x1192a227, 0xac438f41, 0x6a2a4bb8, 0xae4b58be, 0x9a83a253,
+    0x10b5d61f, 0x18b2ec2a, 0xaab4abbd, 0x634a333d, 0x6088b836, 0x2776021d, 0xe5c9d9ff, 0xe8d22d41,
+    0xd0554ed0, 0x926df290, 0x5fd49c02, 0x08d8fe22, 0x9d9d8862, 0x0c682551, 0x8def2373, 0xfb4db8e3,
+    0xdb0a91d4, 0x873263e8, 0x4ab57857, 0xd7968a68, 0xb020f76d, 0xa1f82481, 0xb0f4f1fa, 0xd30e1870,
+    0x0230d706, 0x78f7f68e, 0x85102ac6, 0xc2c088b7, 0x97a7b4c6, 0x4b2b0677, 0xb9f990be, 0x6ada2569,
+    0x8ac636db, 0x02f6afe5, 0xe85a46c8, 0x571b61cf, 0xc2741378, 0x1c12043e, 0xf9eff8b7, 0x2a48741c,
+    0x9478dbb5, 0x82ddfcb9, 0xa1f179b7, 0x515e3564, 0xe12cea44, 0xcac52c12, 0x862156e3, 0x2a9a250c,
+    0x60bdc5a4, 0x6fe49b4f, 0x1d4f59f5, 0x09a4c92b, 0x2932fa9e, 0x81944885, 0x5dbe4734, 0x909154c8,
+    0x699178dc, 0xd33f2879, 0x91750305, 0x6bfa48d9, 0x3ecf3adf, 0xa6754bf5, 0xa250ea58, 0x01184b7a,
+    0x0018cd36, 0x45942c58, 0xbb512c58, 0x9a710d16, 0x1c048665, 0xd9b32a5b, 0x7555dc3a, 0xbf25674c,
+    0x5a99bb9c, 0x90d73e3e, 0x5648576c, 0xe4cbdf74, 0x59978012, 0x8163b10c, 0x7a846826, 0x4382cdd7,
+    0x48b47db2, 0xcbbd21fb, 0x198c83bc, 0xa02b1c91, 0x62ad6d72, 0xf20d490d, 0x1f99ff7e, 0xe5a29eda,
+    0x0451b807, 0xd05b1ac5, 0x0d393316, 0x86c34a9b, 0x9c8890cb, 0x7cb96fdb, 0xad36d722, 0xa2b0d452,
+    0x088335eb, 0x11ca117f, 0xa9a9aab5, 0xb58bb587, 0x70e0467a, 0x96114416, 0x284c0a8c, 0x96b05828,
+    0x57abcfe9, 0xcaef976e, 0x9327e837, 0xb734f832, 0x8381cff0, 0xf857b545, 0xd98b4e0a, 0xc0f90347,
+    0x5a7836f0, 0x39c8622d, 0xe947a29c, 0x431f8ee9, 0x9d5d8d72, 0x68a6cf6f, 0x548075b8, 0xf108e3a8,
+    0x44013f96, 0x6c34ae54, 0x0a5d7434, 0xb96207d3, 0xe31eb569, 0x46832bec, 0xfe70b36f, 0x3750604a,
+    0x938cee1e, 0x896fb59b, 0xf974537c, 0xcde957af, 0xea8a026f, 0x6b58fc92, 0x40bf0294, 0x2f337530,
+    0x25f7890d, 0x45c5e999, 0xb08ec4c1, 0xd0d76046, 0xd132c3bb, 0x28ee32ac, 0x2e54bf87, 0xa27f6710,
+    0x523cfd62, 0xcbb803a5, 0x6e96694b, 0x71f7659c, 0xe1901955, 0xa09c6002, 0x1fbfdb54, 0xe48980de,
+    0x52374cf1, 0x2b10d955, 0xc7c479ea, 0xce3da369, 0x3c20ce25, 0x293eec85, 0x228d847b, 0xa4ad5f9d,
+    0xfe6bb6ba, 0xb0572a4a, 0xa69644cd, 0x157ff6ad, 0x7f9e4eb2, 0x18b38d34, 0x9bb25694, 0xa7ded3fa,
+    0x31ac37b7, 0x14ddc5d4, 0xdd1eb5ba, 0xa248b7a2, 0xfa3b519b, 0xf744c837, 0x997d374a, 0x8c440356,
+    0xe9127800, 0x21c5d40a, 0x53d4cf42, 0x13db9a64, 0x7b015928, 0xf917caeb, 0x8a72e1c7, 0xb1808a1d,
+    0x73e746b9, 0x0c34d3a9, 0x220c62b4, 0xc9d842d1, 0xaf41ca7e, 0x7304c4ee, 0x117aa3b8, 0xf13463d9,
+    0x2447b963, 0xf0cf55a3, 0x40763b80, 0xea705b99, 0x8b0c3a2c, 0x5f1fec38, 0x70123170, 0x6a6ce952,
+    0xcd6d4d5a, 0x44bd76b8, 0x0356b8e7, 0x4a8dc0f6, 0x9b286803, 0x169e1a93, 0x52fc9e50, 0x11bfe26c,
+    0x430e8db5, 0x51d777af, 0xd06dc7f7, 0x789dd307, 0x364b0109, 0x12ede3cb, 0xe3d35a6f, 0x6aebde53,
+    0x998e902b, 0x5b2f6d37, 0xd3365183, 0x75aaadfb, 0x73e949d3, 0xbf3cd600, 0xb5501aba, 0x766facfb,
+    0xd254d83c, 0x54962f55, 0x84715a38, 0xce2768c2, 0x9d8197b5, 0xb6c15f6b, 0xeae03797, 0xe9df67a4,
+    0xbec286d9, 0x63ee9feb, 0xcabf4f74, 0x36ad4775, 0x800665d9, 0xdfa8fd38, 0xe35b5435, 0x256cf976,
+    0x2ea4c3b7, 0xfda28ecc, 0x77407ee6, 0xbb073acc, 0x3df7ae54, 0xfeb5fda1, 0x2ad7cee5, 0x4e3594a2,
+    0xa9da44f1, 0x1f20b278, 0x833f0476, 0x79e352ec, 0x96f5b900, 0xae159def, 0x22c87de9, 0xfa4ea66c,
+    0x9d0c5e88, 0x91b36850, 0x776cb4c5, 0x4457aff8, 0x9261a67c, 0xc3eafd8a, 0x7f351867, 0x05504b28,
+    0xcf538573, 0xb370c254, 0x7025a824, 0x3b0a5ab1, 0x50398b5c, 0xf21b1ca3, 0x6547f2ec, 0xe7d3a183,
+    0x5d5d45da, 0x18dfa04a, 0x1ab6f911, 0x113f723f, 0xa001004b, 0x5de0bedf, 0x15514757, 0x5c942eb8,
+    0x8a646893, 0xb0a2073a, 0xe663b951, 0xa01f5a0b, 0x91c38894, 0xbbf6156b, 0x21105ac7, 0x65201576,
+    0x74ade5e4, 0x6c4fab0d, 0xc808a3a1, 0x91bfc1e3, 0xdb0c5822, 0xcf90c222, 0x13724fd8, 0xa05849bc,
+    0x450eb344, 0xbe81e2cc, 0x9245d2fc, 0xc2dbb860, 0xc21a6340, 0xe24795b7, 0xf30c8adc, 0xffe89091,
+    0x41dec56a, 0xabf64e02, 0xb641b4bd, 0xf3ee63a6, 0xd0b838d8, 0xdeae946c, 0xeced33bf, 0xfc99607a,
+    0x6fb2a140, 0x0508863c, 0xc864f36b, 0x4a5a397a, 0xfcfde678, 0x85e697cf, 0xac865f1d, 0xa0d02fa5,
+    0x7f6e74e7, 0x2fdf1160, 0x0d61b217, 0x3fb52ad0, 0x3f38950c, 0xbb6f8c61, 0x3a357cec, 0xf42181ff,
+    0xd9c338d7, 0x756400fe, 0x4984fdf9, 0x7cc3dce2, 0x8b697ee9, 0xf8de8f9d, 0x8c79fc22, 0xee9bc0af,
+    0xfa9d3db5, 0x88b2d7b2, 0x19caf267, 0x6a828a77, 0x596dcdb6, 0xf6162a2b, 0x77833627, 0x26d2f8ea,
+    0x738d86e5, 0x194c7762, 0x26da6b20, 0x3b0a61dd, 0x62d45169, 0x0c04c0a9, 0xfc7de1bb, 0x4657bc8b,
+    0x6d386c43, 0x67d33eeb, 0x669c344c, 0xa43e3780, 0xb97c80d7, 0xa8b9f050, 0x06b207e2, 0xe71ef805,
+    0xcce54b71, 0x1cee2bb2, 0xcdb05a75, 0xc2735505, 0xc743c0a2, 0xe7442535, 0xe6d184b1, 0xf6070356,
+    0xc4892432, 0x832d2155, 0x806452a8, 0xcca74213, 0x57da6410, 0x69027fba, 0x66f8e2d9, 0x3ba6cabb,
+    0xc63bf168, 0x08a4d855, 0xf2b768e8, 0x758076f1, 0x960c7b5b, 0x56f4a5a1, 0xaefc6208, 0x82120692,
+    0xaea7b29b, 0xb814a4e7, 0x93269198, 0xe9c8c7ca, 0x0ff5cb74, 0xa812c07c, 0x7aa98f21, 0x513f9f05,
+    0x9da49de7, 0x84a2369f, 0x6d587c73, 0x040df183, 0x581acb62, 0x012c9f09, 0x23522a46, 0x9c6e2c5a,
+    0x6505211d, 0xa5ae2ebd, 0xf4d7a37f, 0x03bde8d9, 0x4b86df18, 0x9bb764ff, 0xd8d7c33a, 0x571f8fe9,
+    0x5043c775, 0x5131b83f, 0xddbe552a, 0x3508cbc4, 0xe3e69fc6, 0x8d5495e0, 0x9cd5a216, 0x0f872b48,
+    0x66837347, 0x552c6584, 0x95f45bb4, 0x23e97b84, 0xd21125c0, 0x0e756dce, 0x70502e4e, 0xa2a59842,
+    0x66c46d25, 0x723cf265, 0xcc073e25, 0xc3d1fd64, 0x485ce5aa, 0x4d745f76, 0x68076b3f, 0x12bc998d,
+    0x361a070c, 0x8b7ea78c, 0x8ad4ddd2, 0x10d903aa, 0xff81ef64, 0xe72bd41f, 0x267312cd, 0x6d557aab,
+    0x8081f3bd, 0x2e46947e, 0x1e8f248a, 0x3d4dd49c, 0x043e0e41, 0xd884a862, 0x03c7483d, 0xc0d905ac,
+    0xf0dc860e, 0x573e82dc, 0xe3224052, 0x089696ed, 0x5ebb1fb5, 0xceae970a, 0x5045cb62, 0xff921224,
+    0x3c6d3814, 0x2b7632ee, 0x91b04957, 0x25529f5b, 0xebcf6f83, 0xff70986b, 0x9e7da0a1, 0x3b0a5a4f,
+    0x51c5285e, 0x9050a5c7, 0x409aadc7, 0xac3dc81d, 0x2d0972ff, 0x22cb1a39, 0xebe3e9c4, 0x418b3f68,
+    0x69318a60, 0x7c038b08, 0x3ce856e2, 0x4570b974, 0x93829d2f, 0x2564c08d, 0x864b24a5, 0x16a586e2,
+    0x77c40695, 0xe0d9aa1d, 0x387f9138, 0xc6c651e0, 0xaca3e395, 0xd71cb132, 0xa992c38e, 0x8476f0c8,
+    0x0a45e39a, 0x9074592f, 0x30b500ab, 0xcf672a97, 0x4a85e537, 0x53cfb65b, 0xf16a478d, 0x1edca35b,
+    0x04114ecc, 0xbad23451, 0x5a6e3185, 0x1995c648, 0x6a6e0c4b, 0x41d5eadb, 0x55980e85, 0x59f916a6,
+    0xf1628ca5, 0xf9804d5f, 0x84e12d56, 0xf22c42ef, 0x1617d430, 0x7285b364, 0x25b7a755, 0x07a02fb2,
+    0x9e1717c1, 0xf598d431, 0xd160b753, 0xe74f39bd, 0xde148b13, 0xc2a3fc0a, 0x62f9d156, 0xbc3fda2a,
+    0x894db09e, 0x37bd55d8, 0x7e300cd1, 0x350dcbd4, 0x4837d0e1, 0x227119db, 0xb2f1827e, 0x831a9068,
+    0x022123a8, 0x39f69a6e, 0x3d65af82, 0x191756b7, 0x88641ca8, 0xaef36365, 0xc101b867, 0x7575d7aa,
+    0x7a5efaa2, 0x82bc79d4, 0x37574e68, 0xe1b43ccd, 0xc80b3c75, 0x886735b8, 0xbc0ecc8f, 0xc46c6d26,
+    0x46dcb59e, 0x52649799, 0x93f4db22, 0xf5c4242a, 0x43892c66, 0x970c0b93, 0x0540315f, 0x9d28e6ad,
+    0x14bd5af2, 0x30834829, 0xfed57fe1, 0x6f20d8c5, 0x40f0700a, 0xb64035ad, 0x03b43905, 0x63946a85,
+    0xe64ae687, 0xd1909ccf, 0xd6943ebe, 0xde40de58, 0x4903e59a, 0x5ac522e0, 0x9fb4b1b6, 0x3205ab9e,
+    0x62b4dc3c, 0x57937b70, 0x40c807d1, 0xfdcf9a89, 0xe8dd7a36, 0xeadeb01f, 0x994f4e44, 0xef34b2fa,
+    0xb1f30d4e, 0xe78b071c, 0xb9cab4ad, 0xe87f7be3, 0x9a1ede3b, 0xad628840, 0xdd2de793, 0x9798c72c,
+    0x7fbd8109, 0x48e9157e, 0x2cdaa6d0, 0x387d17c5, 0xc8ffef82, 0xb3832a17, 0xe839702a, 0xdc9f7480,
+    0xb2ecbba6, 0x5e067dc6, 0xb34e4151, 0x82ecfc27, 0x7be5dab3, 0x6679674f, 0xa9f7458a, 0x097d4674,
+    0xf3dc3bd7, 0xe0ad3515, 0x4fd71a15, 0xf3f3004d, 0xe1b2a7cb, 0x3287032a, 0xce058a40, 0x19288a4e,
+    0x8dc4dfff, 0xe22b7ab5, 0x9f468c54, 0xf9d90d1c, 0x07fd422a, 0x09072148, 0x7865b8b5, 0xbf3684e0,
+    0xe34aef20, 0x1217a506, 0xa5b3bb01, 0x497d40ea, 0x55359406, 0x3afa4517, 0x3ac442fa, 0x22351f7d,
+    0x8465ebda, 0xdaf84257, 0x07281d8a, 0xebd86f14, 0x59af3dc0, 0x0954aa73, 0x66053a2f, 0x0ebe984d,
+    0x1902208e, 0x4f6cfb94, 0xd417e95d, 0x30f59a79, 0xb35fc8c1, 0x075992f9, 0x0b4c711d, 0xef138756,
+    0xd62a8253, 0x84c18c9c, 0x4bdf9554, 0x87a1768c, 0x2602676e, 0xab5abf38, 0xbdb3abb3, 0x7bb69be5,
+    0x9ddfdcc5, 0x4995b755, 0x0be79195, 0x7f5a8a4b, 0x0f33b08f, 0x51d4c093, 0x80190f79, 0xf4f56492,
+    0x48f00aa4, 0x79ed5b63, 0x20c87089, 0xc31ab78b, 0x598c56a6, 0xb658136e, 0xa8079425, 0x37e9417f,
+    0x2888953f, 0x49c0e646, 0x23e37b35, 0x5f49fb7c, 0x6d4e3b76, 0xa37c8c9e, 0xa463c766, 0x12c1ed00,
+    0xba079684, 0x9cf60b0a, 0xd1d54ff4, 0xb02a1c2d, 0x63839a2c, 0x6e442b29, 0xdf26b38a, 0x6195bb59,
+    0x6469d7b3, 0x8b6d882c, 0xcdd59953, 0xb10dbe3a, 0xff729b67, 0xc5ee3976, 0xb37accd2, 0x0795c070,
+    0xed1ba52c, 0x8d70e1b9, 0xf4f7305c, 0x98006072, 0xc4838320, 0x0d7b8298, 0x6d54f452, 0xe7604858,
+    0x5c0803cf, 0x1333b54d, 0x6ad748e2, 0xd8c1cf7a, 0x26f04c54, 0xd23f7bc9, 0x23b3ef93, 0x957fc46a,
+    0x0196a81a, 0x4d296aae, 0xcf18a45a, 0x70eeccc3, 0x856fb7b5, 0x5eeb28c3, 0xb336ea3e, 0x2bd31947,
+    0xf8025483, 0x5abaf6ee, 0xb93aa8c4, 0x96900d17, 0x5525aadd, 0x0b96cc05, 0x4986609a, 0xbf1910b5,
+    0x5dd075e5, 0xc14735cc, 0x694e7bdd, 0xaee6d25c, 0xd41751da, 0xaf414afd, 0xbddc9f7e, 0x04ee5b4b,
+    0xf9aff170, 0x95ad1b37, 0x4123967e, 0x3801d70f, 0x38f3c141, 0xc22bd31f, 0xf3c4c0cd, 0x00a84c0f,
+    0x79c43ba8, 0x0e888380, 0x2cdc684e, 0x798bcbe7, 0x0be2a371, 0x60cb33f7, 0x697fcfa0, 0x44ca8e96,
+    0xa5c91c88, 0xdab9f7c5, 0x5e4ffb6a, 0xe92d6eab, 0xc5bd2c58, 0xf42d6e5c, 0x8aca0e50, 0x91982aa3,
+    0x583dc8fe, 0x97513ee3, 0x40ad4aab, 0xf16405c3, 0x26733d6d, 0xcad58707, 0x589a902b, 0xbd8e22a3,
+    0xc0d53080, 0xd45b9926, 0x8a977756, 0x82d27631, 0x5d76cdad, 0x819f2940, 0xf1f0e7a1, 0xf0c535ec,
+    0x9b9ce095, 0x97949975, 0x190dd0c0, 0x07030bfd, 0xbf6a9616, 0x1b19e061, 0xc4fdccf5, 0x44167db5,
+    0x2ea5da22, 0x28ca1364, 0x34f9f757, 0x1b86ee51, 0xf7f249dc, 0x190de70a, 0x91571024, 0x54d7e598,
+    0xb01beda5, 0x83da170e, 0x0daa7f34, 0x3f31bb42, 0xea2b8a38, 0xb80565e0, 0x6b696771, 0xdcf9e8d0,
+    0x83cf1a0b, 0x49c9861d, 0xa57f274d, 0xe3045065, 0x53454b60, 0xf256e0d1, 0x08dbf198, 0x0a84eb84,
+    0xfa7b8b85, 0xf2a77dff, 0x48a7e1f7, 0xb56134ed, 0x50f5c56b, 0xb7212747, 0x0ed25d14, 0x4f16ad6f,
+    0x8a1ed9c2, 0x61ecde17, 0xa071ec4f, 0xae1f5a37, 0xe98c2d37, 0x28e4095c, 0x9b23e3f1, 0x64fcf47d,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000401734511064747568885490523085290650630550748445698208825344 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e4, 0x262958b6,
+    0x00000000,
+    0x8d5bc8d3, 0xf6244cc2, 0xc6bcf8f5, 0xc4060e59, 0x7fe730e5, 0xcb68d329, 0xfe729af0, 0xb434236a,
+    0x13c2fa29, 0xff288b92, 0x2a4921b3, 0xb4fd0730, 0xb7c9cfc7, 0x02ceb71b, 0xd7829158, 0x42a89b55,
+    0xa0931284, 0xd4eaa85b, 0x1c65e2ac, 0x88b0b883, 0x7e103e65, 0x04909da5, 0x0999f0d7, 0x754e6fe5,
+    0x8280e766, 0x1c629a5c, 0x2afb7dc0, 0xccceb818, 0x22c10c5b, 0x5f3efece, 0x8107b87d, 0x32f2e129,
+    0xb9c74e43, 0x28831ad5, 0x542b4d1d, 0x4bf59a7b, 0x102d7359, 0x3a22f42f, 0xf7c162dd, 0xf7117029,
+    0x818b0057, 0xe4e34a80, 0x8d9e0efe, 0x86ed5746, 0x82697dfe, 0x497243d3, 0x734c2a2b, 0x3e796fbd,
+    0xab2da0e7, 0x798947aa, 0x96539c09, 0xed072a22, 0xdde25906, 0x583d96e6, 0x7a83e9d8, 0x7bddf21d,
+    0xeb296cea, 0xefd035ae, 0x2c47cc78, 0x28b19433, 0x6c3a4e21, 0x3b589a4a, 0xe2b7af9e, 0xd531ea7d,
+    0x7eebaa69, 0xe90d098a, 0xa9a7eb89, 0x8cb27c21, 0xd8edd479, 0x693c6c15, 0x351a7c20, 0x96acbb01,
+    0x54d1dae7, 0xf4dcccd6, 0xed49faf1, 0x0fe7f4ba, 0x59cd9544, 0xb40662fa, 0x73fa56a4, 0xe8e76126,
+    0xcb68b9dc, 0xfc13b263, 0x21d40564, 0x72745d99, 0xf834758e, 0xfdf08085, 0x6752c7ed, 0xcd5dc625,
+    0xc208b49b, 0xc9680ec7, 0x752e6e8e, 0xe026123e, 0xe9ed4557, 0x2dec70d3, 0x11bd14f3, 0x7f585cc8,
+    0x39e86d49, 0x86095469, 0x97c20697, 0xa19ad928, 0xb9401d6d, 0xbab44c12, 0x93746331, 0x5a4bfd3a,
+    0x2ad8bfc4, 0xb529dfec, 0x3963fdca, 0x21bb815c, 0xf4c3ed40, 0x6ded8573, 0x850dd1bb, 0x3d5c6d48,
+    0x8cf18a43, 0x42226f26, 0xdedd7929, 0x0e645f23, 0xd2d82bf6, 0xba8582f8, 0x89162305, 0x5b8530f9,
+    0xfb6f8d4e, 0x49976a35, 0x266b4009, 0x0d4893a4, 0x7855ec03, 0xbbef23be, 0x676c42fc, 0x07ef1d37,
+    0x66df339f, 0x8eecfdf8, 0xcc52b7bb, 0xb18ba6b9, 0x891f14a3, 0x0503a175, 0x6bfd5c58, 0x321e0073,
+    0x68b0ca9e, 0x14d47d00, 0xb590eb7a, 0x4c23964b, 0x0fd8b4e9, 0xd7228dd8, 0xc313bc85, 0xa9094723,
+    0x9d224f49, 0x8e473b89, 0x43003fe6, 0xff170940, 0xefdb669e, 0x48a8ec9b, 0x446a1789, 0x70795f6c,
+    0x734e964e, 0xef08956e, 0xb3ce61f4, 0x2f650037, 0x9163cc90, 0x721cf21a, 0x151142d6, 0xa560101b,
+    0x45c41572, 0x826e6494, 0x649f98a5, 0xe46408cb, 0x70b13450, 0x37c2a155, 0x733bb472, 0xea5969b0,
+    0xe2d5daa0, 0x6c3722d6, 0xe8bc59ca, 0x52fdefb9, 0x0f892dba, 0xab86e61c, 0xf6e71996, 0xcb0ed3bd,
+    0x6fb9acd8, 0x5160641e, 0x2855d66f, 0x0ba0a000, 0x2e09f5c8, 0x212f51a9, 0x1db99435, 0xc507d2cc,
+    0xe0ad7d1f, 0xe9102d04, 0x0b2544b0, 0x1728f5e2, 0x2e67115f, 0xf5f3c85c, 0xfc361901, 0x773e86a5,
+    0x1f160f9c, 0x4e43d888, 0x9c344781, 0xb3888941, 0x9b688d5a, 0x609777aa, 0x25789bae, 0xed2b19e4,
+    0xfaaba0ca, 0x1cf38195, 0x0be0c9d6, 0x07783972, 0xa9805ef1, 0x654ee192, 0xca65c591, 0x434fde3e,
+    0x42362c5a, 0xbf343c7b, 0x3ddbe9dd, 0x873ae14a, 0x4fc2daa8, 0x822b7b36, 0x0d037e08, 0x364744e8,
+    0x82a8f941, 0x7d83fc97, 0xbbf3f0f4, 0xf62f3d8d, 0xb9025d39, 0xb1e50cc3, 0x83480d76, 0x22ec7725,
+    0xcfbefef5, 0x57dad3b8, 0x2d85c98d, 0x5edb0b8f, 0x38db2c5c, 0xe8bb7551, 0xa204836f, 0xa47f3afa,
+    0xe4d06107, 0xb1ea73df, 0xb66742c1, 0xdedb25fb, 0xc1acba71, 0xcdbc2cc2, 0x1fe47de5, 0xa959a43d,
+    0x0e04d999, 0xb5eafc13, 0x51c49d55, 0xf0d27e8b, 0xb51db530, 0x9b8c747c, 0x49a2e224, 0xe66d1c91,
+    0x3e432985, 0xc2401dd2, 0x8f2614ce, 0x99e08313, 0xe0dc012c, 0x71683a4e, 0x6c04c602, 0x4495ce08,
+    0x0c81afd9, 0xb41600dc, 0x87b28de1, 0x3ea6a9a5, 0x5b0cfc7c, 0xf987180d, 0x836f5990, 0x7bc2de4d,
+    0xd6db1b0e, 0x518f834f, 0x41ed1b71, 0x9a89fc5a, 0xecca074b, 0x88b076f5, 0x04d101e2, 0x56d5867e,
+    0xbd8f23a6, 0xca70e969, 0x42d05906, 0xac1ac114, 0x0284198a, 0xbbe198db, 0x91c361bf, 0x7621b83b,
+    0x840c1328, 0xd67e065a, 0xbe0d8d83, 0x344317ea, 0xd30bf03e, 0xa707dd6a, 0xadb47e85, 0x8b415bcd,
+    0xd5651461, 0x9ca72020, 0x51a21e86, 0x6c224961, 0x3af3fe7f, 0x2239c46f, 0x444034e7, 0x0d148008,
+    0xc607d869, 0xafc5c8f6, 0x532fe2c3, 0x2c9565b7, 0x259b523b, 0x45685c8e, 0xe0a4d756, 0x1fd25435,
+    0xc1620bee, 0x85bc553a, 0xf314aa28, 0x1dbc70c2, 0x9132d81b, 0x0568891b, 0x73b97014, 0x31550cea,
+    0x5849ee2f, 0x0bee269d, 0x86fdf68c, 0x05f1545b, 0x3ec60c90, 0x7bf67e95, 0xb0587fc8, 0x13f852ca,
+    0x7597b1ac, 0xac24a7c4, 0xd89ec869, 0x67ecdfe0, 0x79111f8c, 0x060a3d98, 0x8a416396, 0x388f0930,
+    0x79359fc5, 0x5c5b0f0e, 0x2aa6d989, 0xbfbfb5d6, 0xbf32e5f5, 0x2e6ffb0f, 0x9850dc07, 0xaecbb1f8,
+    0x8cdfce5f, 0x552a5e55, 0xc80f4f2c, 0xf3c50857, 0x17dce169, 0x55e724ed, 0xbfff46ba, 0x766ffb7c,
+    0xb1e82ce9, 0x5392176f, 0x0dc39fe0, 0x6993ecfa, 0x6368be68, 0x4ec77e0e, 0x0404d834, 0xbcbfb565,
+    0xd10a1b49, 0xab9853c6, 0x812a38e7, 0x1ee8d3b0, 0xee487166, 0xbc1fe731, 0x1b961c8d, 0xef2a1a0c,
+    0x03f5c3a0, 0x0a73a04e, 0xba7f33dd, 0xb73e18e7, 0x1d784100, 0x25d41504, 0x3b61fbc9, 0xe1f952ff,
+    0x8eb9a6c6, 0x736de44c, 0xb52f4956, 0xb2178c87, 0x302f4146, 0xf285322e, 0x968a737f, 0xf435af84,
+    0xaad0a664, 0x1a707dfb, 0x327b9c23, 0x1ba24ccd, 0x36a44655, 0x7288a27b, 0x3cc92fab, 0x0a54085b,
+    0x8e4a4ba9, 0xbb5c6ef1, 0xdeedb93f, 0x0bb150df, 0xcfb63955, 0x9ff3acb1, 0x82c057bb, 0x9034ba09,
+    0xffe8bb3a, 0x2f65f747, 0x219549ce, 0x2c0bc940, 0x3abac2fb, 0x5d08d340, 0x7bd6cdf9, 0x9be0bbed,
+    0xd8fb9647, 0xb879de67, 0xda26ca7d, 0xd8f25821, 0x55a71120, 0x64aee53a, 0xcfe55990, 0x8cbd4511,
+    0x74b0a861, 0x1122e310, 0x6070a524, 0x916f57e8, 0xea3deff7, 0xed84ad5d, 0xe8f760e9, 0x597b104c,
+    0x82d28a47, 0x8cde8c0f, 0x4d42198d, 0xf20b61a7, 0x1aed2821, 0x77d73b82, 0x6354d8a2, 0x893e5ec1,
+    0xf122ea4a, 0xc0c7bdbb, 0x2038fdd2, 0x7ecd1fc8, 0x3007f813, 0xb9d993fc, 0xebcf8f2a, 0xa45ee541,
+    0x58de8e33, 0x1442e7ec, 0x41cb62e9, 0xce273051, 0xe6998a3f, 0x6ac1c0cf, 0x7a34fe3a, 0xf4253451,
+    0xcb120085, 0x5e1609ba, 0x00d0c838, 0x19521f20, 0xd7c8d535, 0x0c4bdda3, 0x1eb0a121, 0xd1294781,
+    0x03e49bea, 0xda3120de, 0xa538c064, 0x50066c5e, 0x08362a6e, 0xa7c4d93a, 0x5985adc1, 0x2bbe6188,
+    0x601a4dfa, 0xd42fcc13, 0x8f2c7699, 0x403954dc, 0x1c21d7b3, 0xce7410b6, 0x27166515, 0x374a7880,
+    0x54cee48c, 0x95e1f151, 0x3ab26bfc, 0xf56e4a8f, 0x5dc272bd, 0x8a9a6d4a, 0x20e6857f, 0x20a06f0d,
+    0x06d24e82, 0x193a7bad, 0x1aa5a778, 0x55d1e6e1, 0x11ed5f11, 0xfc7f67b6, 0x9a6c66cb, 0x543df5a2,
+    0xd75c1351, 0x1468a9ad, 0x597d4670, 0x00066bef, 0x0a109984, 0x0331edaa, 0x368b614d, 0x435943d5,
+    0x2db7249a, 0xb08e5643, 0xb3676f21, 0xb83cee89, 0x76b06ecf, 0xdfd487a3, 0x4932154c, 0x1db33e57,
+    0x7af6f022, 0xe7d1b0ce, 0xfc119308, 0x5c28495e, 0xa6183357, 0x386c633d, 0x74e03b29, 0x14c74a81,
+    0xaa56c50a, 0x776a5087, 0x4c962975, 0x29e73d3c, 0x4abc02c8, 0xf1534d92, 0x82aa6081, 0xccbbe54b,
+    0x5843676e, 0x2b7dea28, 0x685352be, 0xb9994600, 0xe7ef4f82, 0xc5e10f05, 0x448c6a1f, 0x30bd9099,
+    0x14d50235, 0xf5a9da93, 0xd93721ae, 0x97659a16, 0x6e8d00c5, 0xe6b5eb14, 0x7855e31e, 0x879b3d15,
+    0xdf9c94b7, 0xc2b1e6c0, 0x4c8acfbf, 0x38159390, 0x87524cfe, 0x827dd83b, 0x146d1e0f, 0xa2a29167,
+    0x13e464c3, 0x4928e3f6, 0x180da10d, 0xc1cf104e, 0x3f178360, 0x298d3369, 0x84d111bc, 0x83af4b06,
+    0x3c99102a, 0xc6fbaa10, 0x27bdfbeb, 0x708a937e, 0x39a8bed6, 0xfb773e95, 0x9585327f, 0x68b86c1f,
+    0x6ef429e5, 0x4f1a2de8, 0xa1e9fcc5, 0x8850e83b, 0x3831f1bc, 0xbd323f07, 0xb52abb0c, 0x2122e933,
+    0x3f7de7b6, 0xf87884e5, 0x27d28e1f, 0xf7b8176b, 0x4f442536, 0xc4fa24d4, 0x10bcb911, 0x46bdcbc2,
+    0x41574146, 0x46f31040, 0x75e49055, 0x2f43ad5a, 0xe785293c, 0x9a8dd8ca, 0xaec6a332, 0x6fea4b3c,
+    0xf6065eb8, 0xf109264c, 0x797a1145, 0xf98a3aa0, 0x414ab6c7, 0xa3889e05, 0x4dc28d65, 0xe7cd6019,
+    0xefec1116, 0xe93c5c65, 0x5d4bbfde, 0x2bd95fcc, 0xc74a0ef0, 0xe322f45a, 0xd4705068, 0x989272f9,
+    0xd6dd2df0, 0xbaa36d80, 0xb1cac04d, 0xb8a13a74, 0x926eb8a6, 0xf22e7a51, 0x557b7ddc, 0x7d7bd945,
+    0x64ecb1dc, 0x83c8da19, 0x6746ea8a, 0x0274120a, 0x4ba43410, 0xacd4ade5, 0x0c4144dc, 0x41b5a545,
+    0x8352ae01, 0x6d4f8650, 0xaafe6198, 0x94550136, 0xc2ddb335, 0x94796030, 0x0f12c913, 0x0a46fb8f,
+    0xce08a136, 0x2c7a3e95, 0x59540114, 0xa251b538, 0x84c36405, 0x0ed5821e, 0x0fba71c0, 0xc8eeb63e,
+    0xa424a4d2, 0x8168791a, 0xc2e20631, 0x9609a7f6, 0x73449159, 0xa2826500, 0x0e92a603, 0xf35cce23,
+    0x2390ef26, 0x50a69b44, 0xe5fcb623, 0x5c199b23, 0xce43218e, 0xe1c274ea, 0xbce552c5, 0x1f9168a1,
+    0xc7225b98, 0xa1c3819c, 0x0b39c9a1, 0x39a6f143, 0x023a1e68, 0xf2e71688, 0x8906cbb4, 0x338c8c56,
+    0x53a6fe61, 0x75860b29, 0x35ed9b66, 0xbb6a6f64, 0xf68fce07, 0x1ff84c48, 0x2f83142c, 0xfa9dba4d,
+    0xfb11e818, 0x2564f814, 0x43f91ac6, 0xb081f4b3, 0xb7e39fec, 0xf0c6a23d, 0x3effd0ec, 0x113f8499,
+    0x51088ae4, 0x951d098d, 0x03870e03, 0x1e754f40, 0xfdd2fa1a, 0x18376fcd, 0xa658f5b1, 0x69c0ae27,
+    0xedd9a446, 0xd42283bd, 0x121fe278, 0xf594882f, 0x319fba56, 0x68a53df2, 0xec67a298, 0x9ff570e6,
+    0x83953b0f, 0xa2c05a01, 0x85520ee2, 0xfec8b1b2, 0x6b915908, 0xace84a85, 0x19d6f70c, 0x1f2e441d,
+    0xd95f1db0, 0xf62ac79e, 0xf22b5956, 0xa8436ede, 0xd7804e8d, 0xd9ce08f3, 0xd4f4607f, 0x8879c1f6,
+    0xd0e9a907, 0x14d45255, 0x2069de0c, 0xd901d89f, 0x56f48ade, 0x4fb0055d, 0x1b22aeec, 0xfe4b7a56,
+    0xf32607d0, 0xd25870b2, 0x3809b8fd, 0x987b1132, 0xb44ce9f9, 0x690643ce, 0xa802e7c2, 0xc70f9247,
+    0xddcebf3b, 0x1bb106cf, 0xcf1a08c0, 0x872c15dc, 0x18bb5097, 0xb620a6e3, 0xbe7d5367, 0x40c9ee0f,
+    0xe82c0659, 0x31014fcb, 0xbc5294eb, 0x79c87ad4, 0x45a5134d, 0xbedef34f, 0x993efba9, 0xaab053a0,
+    0x9b2e2de4, 0x0b146ee3, 0xa7c3101b, 0x4178c5ed, 0x8cac46ba, 0xc88047d8, 0x003031f3, 0xfdbd2ea2,
+    0x06df8985, 0x53cbc74e, 0x36eba431, 0x61fa5f5c, 0x25ca092e, 0x5b861e6e, 0x742ab4ed, 0x9f6a038c,
+    0x86ad427d, 0x055609ae, 0xa2bf68c7, 0x0107138f, 0xbf2e79d1, 0xd903d72e, 0x3b2a8e9f, 0xdc615393,
+    0x7b05d3bc, 0xf20fa2d2, 0xf1dd504b, 0x08314aa9, 0x34eec3bd, 0xab345f2c, 0x76aa62c7, 0xb9125c4e,
+    0xbdccfc7c, 0xee26ca61, 0x538f57f2, 0xde7abe5d, 0xf3a631ef, 0xa4ae0269, 0x7b3bab62, 0xf2dc5e19,
+    0xf3ab4463, 0xd1ccd91d, 0xef099cf3, 0x210080e1, 0xb9ecb692, 0x8cb23400, 0x794c85c9, 0x8e83bf4a,
+    0x074a5f42, 0x7d75b9b4, 0x8c34a4c7, 0xeb36ab28, 0xed600b37, 0x29d171d1, 0x52f2e453, 0x65e070e5,
+    0x79b6b313, 0xd2476490, 0xfbd7e7f7, 0x242f6e1c, 0x6e2a7a01, 0x12f8c4fe, 0xc7f98ee1, 0xc3f1f6af,
+    0x8e8193b5, 0x19160080, 0x6914ac8a, 0x2605a73f, 0x7489e16e, 0xe5073f59, 0x33f48df4, 0x48ea5284,
+    0x5ab1b766, 0xfdfd08f8, 0xe0963abf, 0xf281222a, 0xeab83644, 0x47a0cac1, 0x36b549bf, 0xdb3526ea,
+    0xf06e140e, 0xe794a909, 0x51c215a7, 0x8bed754a, 0x9141f449, 0x8c4d323e, 0x872c5802, 0xe658872e,
+    0xb7905707, 0x6981ff88, 0xfbb2c1f9, 0x46fa509e, 0x56a4bf08, 0xab3827dc, 0x43f11712, 0xc1222edd,
+    0x3a62aadf, 0xba7c058f, 0xbe36471a, 0xe6771ac5, 0xd50d81a5, 0x889a30ad, 0xaefcc0d4, 0xafd2b9b8,
+    0xd0bfd76b, 0xebe02678, 0xb7a41f43, 0xfc0c7774, 0xeb66533d, 0x2a7fbb57, 0xb61e60ca, 0xd2e9e836,
+    0xa20b5d44, 0xcb2f5420, 0x8b16954b, 0xca7072f5, 0x9dd42552, 0x97a76a8e, 0x6ce69d96, 0x314413c9,
+    0x803a5d28, 0xbefde979, 0xfbaeaf3a, 0x19def182, 0x4333c1ec, 0x61870587, 0xe201868e, 0x340d5343,
+    0xff8ba66d, 0x6b1afa78, 0x0c849874, 0x62973603, 0x25aaf7e3, 0x3aff764b, 0xf3ffafc0, 0x9bd1737d,
+    0x3ca28a93, 0xc5a6f791, 0x7a6e7fc9, 0xc2bc27b1, 0x9cfecda6, 0x87865d6a, 0x2361069f, 0x27b8eab9,
+    0x81fb5b07, 0x6d6edb78, 0xf3d99e27, 0x7fd615d5, 0xa1ec9dc5, 0xb84790ed, 0x31304b78, 0x2e8039ed,
+    0x034509cf, 0x0c074c43, 0xe37696a1, 0xb148fccb, 0x448e6fa2, 0x6f63eecc, 0x2894d0ef, 0x4254bc51,
+    0x12f22d32, 0x7c69bd4d, 0xa4b70302, 0x64753167, 0x17495cc0, 0xda9701bf, 0x2c9673c2, 0x8c671d91,
+    0x5fbb3aa9, 0x9a4c8826, 0x034e722e, 0x599280fb, 0xba722151, 0x20050a16, 0x41d40151, 0xbd7b3e1c,
+    0x74e09f26, 0xd58e170a, 0x7a79d49b, 0xfb69d3d5, 0x3dfc1af5, 0xb3ad4da4, 0xfa9c0229, 0x77cf1f64,
+    0x68294716, 0x8221bef9, 0x6348d2a9, 0xaa182b23, 0xf49300a1, 0xff588cd4, 0xe20836ff, 0x642f45fe,
+    0x716cf06a, 0x24e9a239, 0xa5059622, 0xa1eda64d, 0x70bc49b2, 0xd4321bd7, 0x9d7f4ccb, 0x59df2431,
+    0x5bafca13, 0xfbbdbe09, 0x0d67207a, 0x783c6e99, 0xf84312e5, 0x06e56c37, 0x7b14c051, 0x7a763776,
+    0x52ac4919, 0xa2ca35e5, 0xd16036c4, 0x9000b7fb, 0xe1215370, 0xa49416a5, 0x5bf2b854, 0x157e7c6b,
+    0x83935ba7, 0x37883b8f, 0x6705ce0e, 0x75b1ffae, 0xf91728f7, 0xa998ca65, 0x191727dd, 0x41d62352,
+    0xc0ba2774, 0x77f620dc, 0xbaa44973, 0x590400e5, 0x9ba73113, 0xa987cc8d, 0xc51c8290, 0x1ef4172e,
+    0x2c5b2672, 0x0ffba51b, 0x3973bcb6, 0xe270ce7d, 0xac92d1dd, 0x201aec1e, 0xecd3a386, 0xd8ee9014,
+    0xf45d11fe, 0x9293c1d5, 0x5089d288, 0x5c788325, 0x76257bb4, 0x3d5c284e, 0x200597b8, 0x17c4bc9d,
+    0x45e004a2, 0x6a99a59e, 0x524fb72c, 0x2f1510ad, 0xd3599ea7, 0x1137b04c, 0x308c7ff2, 0x8b61a7c1,
+    0xb0bc0803, 0x420720db, 0xdbc29dad, 0x3092242a, 0x35ea1f81, 0x94dd8866, 0xc24bd71a, 0xb8ce86df,
+    0xdf3577ca, 0x91fd2efa, 0xa19db5c2, 0xd55f3ff6, 0x8aa5b29f, 0x54ee4a85, 0x89d59bfd, 0xc09fa9e4,
+    0x3bf9462a, 0xe5ffda0a, 0x6f364fd8, 0xd12ec83b, 0xd32de11d, 0x15e2d708, 0x435ea713, 0x72f52de0,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000200867255532373784442745261542645325315275374222849104412672 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8072, 0x1314ac5a,
+    0x00000000,
+    0xbe3b1a65, 0x949cf934, 0x2861da57, 0xdb06ce7b, 0xb77e4197, 0xf513ae39, 0x62ebc68e, 0xa7f00423,
+    0xaeed4050, 0x778eb570, 0xdac747e7, 0x029fcc20, 0x35ecebb2, 0x0d73b424, 0x79e4b159, 0xc3ff2935,
+    0x6f30f084, 0x8313f82e, 0x03b76b25, 0x61cbde39, 0x8f4a6a3d, 0xb736af95, 0xec7fd4af, 0x389635ba,
+    0xef77fc0d, 0xa695b0f4, 0x661acc36, 0x61ef3dd5, 0x644d7481, 0x24fb5dc3, 0x63dabf9b, 0xa1f43305,
+    0xe3b5f6e5, 0xdd1c424a, 0x3e57757a, 0xa54e0102, 0xfbd9cf9d, 0x7d80577e, 0xe87fd6e4, 0xf60a6a10,
+    0xd0a07e17, 0x23affb3a, 0x004dd99b, 0xf7afdc47, 0x32c848ad, 0x8bb95be3, 0x93359ae4, 0xb8ea9bc9,
+    0x5ea8b7e9, 0xa261fff8, 0xfb695519, 0xe6015dc6, 0xacf3a008, 0xd34c7421, 0x36dcd925, 0x430849ef,
+    0xf2d30431, 0xac89b461, 0x6ea29912, 0x802e66d7, 0x0d6ba843, 0x7e34b7d8, 0x3511bc07, 0x522d6a87,
+    0x5579ce1b, 0x9956eda3, 0xc7449095, 0x7f063467, 0x31b54089, 0x438057d7, 0xc33793ec, 0x15489361,
+    0xd4084a28, 0x2cd11e08, 0x1283b85b, 0x7dfbe770, 0x7ffa569d, 0x78c00e91, 0xd5e1b163, 0x2a1c21e4,
+    0xa6e39930, 0xb211d1aa, 0x75d03550, 0x25ce1696, 0x561f5bd1, 0xc2a51871, 0x1162d94e, 0x5fb7ab78,
+    0x98062e9a, 0xd4810c6d, 0x810f3135, 0x2fdd2f96, 0x85121435, 0x8e3a404b, 0xa422eebd, 0xed6762c5,
+    0xe65c0c94, 0xc229d119, 0x59dee9ff, 0x1ed8e7ee, 0x7c069078, 0x26876b2d, 0x60fceefe, 0xae825dd9,
+    0x59f816ad, 0xe4a7d3d0, 0xb0fb4918, 0x2a2b0bce, 0xd5ccafc0, 0xf543b0f1, 0x4f5b07b9, 0x7771ae49,
+    0x6ceaff2b, 0xa3cd9f74, 0x93102485, 0x5d8ba9c4, 0x37ec6335, 0xebfb0761, 0x95e8eace, 0x8b0cd984,
+    0x6d94ff8d, 0xd9c4563f, 0xdd057457, 0x70b742ab, 0xc9c33f8c, 0x78f6dd2d, 0x4de2ad7c, 0xd78dc590,
+    0x36a3f823, 0xebea579b, 0x79f38691, 0xf3fc20ac, 0x4a4f628f, 0x591d5a28, 0xcaf1fef4, 0x2dcf0d7e,
+    0xaf5ad6d5, 0xf75f831a, 0x2fa7a4c9, 0xdf14546d, 0xc10d8ab6, 0xeba7ee79, 0xd425cc26, 0xcfd4200e,
+    0x2bee6569, 0xf7f799fc, 0x406e9a7e, 0x1eaea2b6, 0x34ebd3fc, 0x7b3c6b29, 0xc0ddf3d8, 0x668eff4b,
+    0xa9dfd5be, 0xd083e76d, 0x543003e0, 0x1004518d, 0xe079e26a, 0xde53187b, 0x330c8f49, 0x62a3cf41,
+    0x1f6fc0b7, 0x55b928d8, 0x37876f01, 0x50d4882c, 0x5185f031, 0x5f83a5c0, 0xa5618219, 0x3f80875a,
+    0xfaa65b70, 0xa92d5f91, 0xaa1c596e, 0x1a7c45ca, 0xe48a0c92, 0x725fd1e3, 0xfce3e4cb, 0x72e45118,
+    0x07467652, 0xb3eebc39, 0xbe0f501c, 0x1bf5a1d9, 0xf89ec7bc, 0xe6b7e7a5, 0x63efa546, 0x32361afe,
+    0x4938d1b8, 0x26b78d21, 0xbe984ff6, 0x62faaae5, 0x2cc8283c, 0xaf70c01c, 0x103355b6, 0x90c79196,
+    0x4dbbaf66, 0xa9393672, 0x8aa554f3, 0xe0e94d8f, 0x2db0e865, 0x2458a562, 0xacd5c290, 0x34eef23b,
+    0xc1b0a5ff, 0x41246182, 0x4d5ee224, 0xb226f35d, 0xdf5286e0, 0xc6517a0d, 0x3ff2c1b8, 0xaf1b65a9,
+    0x77aa1db8, 0xaaa88382, 0xa5ba8744, 0x54294ea7, 0x2b136c8e, 0xc3b3a47d, 0x32dfdcc4, 0x50b90d29,
+    0x5ee81d23, 0x7f69e951, 0xf79fac8c, 0x8e7833a7, 0x71efe2a1, 0x87489838, 0x1868ec33, 0x510713b1,
+    0x76f12bf6, 0xce0b9a6d, 0xd4b4023a, 0x3d766596, 0x4ee13acd, 0x09da13ae, 0xa9d3d586, 0x8e6c9922,
+    0xfcc26bbf, 0xe9b35520, 0x909a7163, 0x6cd69bbc, 0xc68cc963, 0xfd0620ef, 0xe1d5714b, 0x6b0c84c5,
+    0x07c2d393, 0x1bcaf9a1, 0x24268395, 0x89f8170e, 0x7eeb03a7, 0x33275641, 0x6357dff9, 0x1d138ea7,
+    0x879b2f38, 0xe753793b, 0x2fae73f1, 0xc08fc18a, 0xe759b5ea, 0x0e7dab8d, 0x373c7263, 0xef9e3b1c,
+    0x60b1af32, 0x3b8a8faa, 0x3c8febe8, 0x74cf4a05, 0x4f83abee, 0xe9ffb33c, 0xfffdd635, 0xbdf4b6bd,
+    0x33cdadea, 0x49c8e3c8, 0xf2257b4f, 0x7d578079, 0xcfd65d23, 0x66a5ac30, 0xdda67547, 0x76e1d59c,
+    0x34aeb1ca, 0x59037879, 0x7dd6857f, 0xaa3b7561, 0xf78c9aeb, 0x244eab79, 0x83d7ed6c, 0x8735f49c,
+    0x3d36ee1f, 0xed68c9a4, 0x8f74200f, 0x8b53e826, 0x86136192, 0x3f5cbd36, 0x039b10fa, 0xdfc8aad6,
+    0xad95206a, 0x767ae5b8, 0xf443552e, 0x117b42ea, 0x91135ff6, 0xaf99c7ed, 0x8abce281, 0x9a4ba09b,
+    0xdd5a09fd, 0xc03f99ea, 0xa350adb7, 0xc817ed8a, 0xa861e3b7, 0x386b69b9, 0x56a4a9ee, 0x7afb2a8a,
+    0x9bf8e291, 0xb69fa0a1, 0x5a4c45d2, 0x383c1b20, 0x9f95c3cf, 0x76be9510, 0x33983ece, 0x0d39dcb9,
+    0x45764aa1, 0x07631915, 0x2436c4e8, 0x153a6a1c, 0xa40acc3c, 0xf079da79, 0xc6be39fd, 0x3110154e,
+    0x96347a75, 0xf3c263dc, 0x369d5ea6, 0x433da3c8, 0xaaa10e5d, 0x0d4b8b3d, 0xc18b9627, 0x48c3cc98,
+    0xd24c3a3c, 0xc55eb256, 0x156ccccd, 0x5e1cf6ae, 0x6f21c99c, 0x207cd825, 0xf697601a, 0xadebe707,
+    0x699acc86, 0x9569a9c0, 0x6887a2ff, 0x2750ea5a, 0x1065cd87, 0x282a81fe, 0xcec7fdf3, 0x2c395355,
+    0xa8f1f3f5, 0xe9a73fd9, 0x7bd8676f, 0x49b83a7a, 0xb03ec657, 0xc292055e, 0xe5fa002d, 0x288995fe,
+    0xee4db843, 0x367c1d69, 0xe8c49d2d, 0xbc79e0d7, 0xe5f17c23, 0x5cefd441, 0x8c63ffeb, 0xb3cd79de,
+    0x6fec9a5d, 0xdc8ba1c7, 0x0e6deea6, 0x2ddff51b, 0xc926863b, 0xd6e08ac2, 0xe2dca1e8, 0x2fd87995,
+    0x71ba1b77, 0x238ec401, 0x0b8423cf, 0x5f16134f, 0x8b807d78, 0xe212acca, 0x9a524527, 0xc3b7702a,
+    0x1233b240, 0x6070542b, 0x43e1f006, 0x7e889813, 0xdc549e02, 0x4df39d2e, 0x8cc90940, 0xb70709af,
+    0x478a5427, 0x8dabf1a2, 0x705e7a9a, 0x316e058a, 0x5f26dd7b, 0x1b727fec, 0xa6e8274d, 0xf87a717b,
+    0x84b53a49, 0x89f187aa, 0x68b7322b, 0xa3d7dbfa, 0x581834b1, 0x12f937ee, 0x47931246, 0xe5a5c41b,
+    0x0afaab9a, 0x99998072, 0xbfb3fed6, 0xf1dcda88, 0x857dfb78, 0x50a367e9, 0xd96d3a9c, 0xcc49133a,
+    0xcc07b850, 0xfcbc444a, 0x5af6cfaf, 0xf9c429a5, 0xede0fd3d, 0x3b471a13, 0x45f22c11, 0xccbee7aa,
+    0x8c07ab63, 0xf6551136, 0x808ea075, 0xe6a3e423, 0xc1d6daa6, 0x7b7282d0, 0x38da01c3, 0x275c7e72,
+    0xaf1f5435, 0xa92f04f5, 0x29e90898, 0x2fd361e2, 0x25e6fab1, 0x490a54d6, 0x3961e769, 0xa92bebc2,
+    0x907ddc18, 0xa75dbb7d, 0xa9c67f5e, 0x0c26e2dc, 0x172f9605, 0x755c1806, 0xcb689ee4, 0x69076cf3,
+    0xaa579348, 0x7cc403f4, 0x65758bdd, 0x92b6e7a2, 0xf9d244b1, 0x87ffadd1, 0xf4cc7b2a, 0xc2f97232,
+    0x8e109d40, 0x5cd5b497, 0x0855060e, 0x2772f8b6, 0xd5dc4d04, 0xe386baf7, 0xdf7d9d3a, 0x8c39609d,
+    0x692ab3ce, 0xd570cb40, 0x4eed42e8, 0x5aa3615a, 0x3b201058, 0xf5204bcb, 0x2271c40a, 0x67306383,
+    0x1140fb0d, 0x8a2b51ba, 0x0af9e63f, 0xe6390ef6, 0x750c6b94, 0xff3d3549, 0x1ae79f96, 0x8846d0be,
+    0x153d146a, 0x0f520318, 0xce3c24ee, 0x0b737168, 0x0f9c8579, 0x20ed7d64, 0xf891b565, 0x6c10005b,
+    0x87174cf9, 0xae768384, 0x988ecebc, 0xbca4c431, 0x80f10cd1, 0x57202039, 0x6e67ada9, 0x55897c67,
+    0x1e1a04a9, 0xc33eb0f0, 0x65004ab4, 0xbb80ac88, 0x116d4809, 0x5c80e72b, 0xa453a5e8, 0x9275bc6f,
+    0xeb0c2a8d, 0xfb22cab4, 0x8581e51e, 0x7f6db572, 0x2cabe8a0, 0x515df91d, 0xb1b233b3, 0xc4c99449,
+    0x8b4ca54b, 0x55279bd5, 0xcee73dc2, 0x445201d3, 0x90c456ea, 0x985b3023, 0xd1774567, 0xa9cfc3b5,
+    0x6b4d341d, 0xec5d52d0, 0x670a4a2d, 0x0a200a9e, 0xfca48be9, 0x3cf12c80, 0x7d743246, 0x6003d52b,
+    0x072ace85, 0x9b4a981a, 0x1189bdc1, 0x2d8e857a, 0x880452c3, 0xc531b81a, 0x24b10d7b, 0x4c7978b7,
+    0xaa3930d5, 0x8dc28e79, 0xb14d2449, 0xccdd60d3, 0x90a95b1d, 0xef9abd20, 0x0bbdb8c0, 0xc975e423,
+    0x34239a9a, 0xf3b53e18, 0x4b2393bf, 0x1691e7a1, 0x960604ae, 0x60420096, 0xf7e86bb9, 0x4efcb22f,
+    0x8ae84f43, 0xeae57ff9, 0x3d4d62bf, 0xff13bbbe, 0x1a7ec232, 0x94ceac16, 0x05c095c3, 0x3ebeb901,
+    0xa76a227d, 0x19f22839, 0xa0ac08ca, 0xc5301c17, 0xe669147f, 0x7d8e5932, 0xe17078b3, 0xeccb5060,
+    0xda827049, 0x4e23ff58, 0x7617b174, 0x8d4484f7, 0x22d1abac, 0x60c80506, 0xdcc4a7af, 0xa8944c21,
+    0x163315fa, 0xf10ed366, 0x2064e381, 0xf5ab31d5, 0x393e0538, 0x5c14de60, 0x342c67e0, 0xe282271c,
+    0x77378168, 0xb85d1229, 0x91a170af, 0x07e60527, 0x2bb14b69, 0xabf264a2, 0xbaa636de, 0xd55c9698,
+    0xacbe8c71, 0x4c29c590, 0x8fbe2d0e, 0x8809cc0b, 0xaa67343a, 0xb50e8df0, 0x834f58b6, 0x8f4dbdcb,
+    0x60fafb60, 0x8b988ac0, 0x2ca3ad37, 0x1d24ed0f, 0x882c22f4, 0x9477389b, 0x60141395, 0x38c87b3b,
+    0x628fcaec, 0x23803042, 0x6eaaa715, 0x68aec340, 0xc392e92c, 0x4f107b2a, 0x8b2f886a, 0x8c98fec4,
+    0x29120a27, 0xcf78b319, 0x83a63f97, 0xb0b99251, 0xc84d9acb, 0x4786a610, 0x25df3920, 0x4ab265bf,
+    0x70b33d0b, 0x40bc1aa2, 0xb8fca3b8, 0x7cee61f8, 0x50723f3a, 0x7e65f6ad, 0x4594c36b, 0x13d34c20,
+    0xe456a24a, 0x06f59f32, 0x4a89a92c, 0x60e5238f, 0x132eaac0, 0x40952716, 0x14058ec4, 0x43cbed57,
+    0x6e35ff7c, 0x85f671e8, 0x782b3f7c, 0x50dbab1e, 0x75cc07d3, 0x01897c40, 0x2c4098a9, 0x56913b93,
+    0x0b6dbd92, 0x74235f75, 0x42f11e68, 0x7108854d, 0x844e368b, 0x84af64c4, 0x00c4b55a, 0x1fab96be,
+    0x68531413, 0xd8ac5586, 0x1d6b553e, 0xa9d8395e, 0xe36bba89, 0x49dbd90d, 0xaf524306, 0x99e2ef1e,
+    0xe65a0cd2, 0x659dda70, 0x540baba3, 0xe03b1d65, 0xd1bc12c1, 0x56ad281b, 0xc25ff3fd, 0x176c6fcd,
+    0x6e6dfe3b, 0xd6baf38a, 0x62be2c3e, 0x73bab5c1, 0xdbebfcb8, 0x59ca7070, 0xb40788f8, 0x2b447ca9,
+    0x6d3a6b30, 0x2a8a766e, 0x19f60892, 0xd27a1b98, 0x06d787ba, 0xbed89d52, 0xe26aec26, 0xda8a81ff,
+    0xe649f04d, 0x6212963c, 0x41d13541, 0x4c5371f5, 0xbfa7f4d1, 0xfdfdc683, 0x0fcf0613, 0xf60cd69f,
+    0x348a79ee, 0x29d69db5, 0x3a1bd475, 0x69ec2dc4, 0xd17e812f, 0xef6fbeeb, 0x48c93405, 0x746bdfcb,
+    0xcb72724b, 0x3bb13049, 0x96412cc7, 0xda8eb278, 0x184aac76, 0x86f17f69, 0x61be01bd, 0xcdcbad20,
+    0x893137d2, 0x76bd129b, 0x7642c99c, 0x3bebaa90, 0xb52b32aa, 0x0b87fa1a, 0xf92c0f72, 0xa7cbc016,
+    0x6805f096, 0xa8d221be, 0x3de4f6a6, 0x49446692, 0x1052d750, 0x2a77f73a, 0x57e215d8, 0x23132b25,
+    0xbb85c590, 0xe0adaf6b, 0x16532fe8, 0xdc9f808e, 0x0f104142, 0x01b4c013, 0x0a4e2e8a, 0x1e9683be,
+    0xb4c6390e, 0xe6b0e748, 0x72e00075, 0xf655be10, 0xb04a85bb, 0x49821ed6, 0x2fd082d9, 0x49ad02ed,
+    0x9d6c5fef, 0xf4b2348c, 0x828dff6b, 0x37a15ab4, 0x0b6402db, 0xb4107e00, 0x4a95262d, 0x9d992ce1,
+    0x500ca4b5, 0x654aaec6, 0x88add43d, 0x7eceec6d, 0x4b369d37, 0x7bbdcbf8, 0xcf330600, 0x8f1d03b6,
+    0x7832ac2b, 0xc3a378ba, 0xa182f664, 0x2a3aaf56, 0x445db9d0, 0xc0283dc4, 0x953fd3ed, 0xf686feb3,
+    0xd1601dcd, 0x5b3725f7, 0x20415aa8, 0x38c2967c, 0xe43aeeb4, 0xbb7e2208, 0x3cb4dcbe, 0x9744d035,
+    0xb02e7b0a, 0xf049e62d, 0xf14ab1e0, 0x9bbf1fb3, 0x5d2e509f, 0xa5650462, 0x03a65f3a, 0xbc5dae4a,
+    0x1b2b30a6, 0xfcde35bd, 0x818329be, 0x62264716, 0x379033f0, 0xa4e7da21, 0x6339387d, 0x4635632c,
+    0x6c3c2e4d, 0xf5d85961, 0xc83fc9a2, 0x228617f5, 0x9583f804, 0xddd2a8dd, 0xae154275, 0x0446d48a,
+    0x30cc85c5, 0x1aab40db, 0x03635041, 0xd481534e, 0xf46a8afc, 0xb6e40c82, 0x1b450a76, 0xdad14bba,
+    0x5b28620f, 0xce4a9871, 0xc76f698b, 0x0d3b5f95, 0x5f45fd28, 0xc4029906, 0x008af511, 0x1644e1ff,
+    0x28f23e47, 0xf66f52bb, 0x9b579bd4, 0x88af5a07, 0x9a5dc0f0, 0xce73cb5f, 0x4df41bf5, 0x930d15eb,
+    0x9d20c682, 0x164ce976, 0xc96ecf74, 0xf9550840, 0x6b7e7cb7, 0xa6ac0279, 0xfd8c1194, 0xdef41436,
+    0xdca8d7f0, 0x929e82a0, 0x4ed7bb96, 0x0c8232ef, 0xaeae4fed, 0x5343d4b3, 0x454a94b6, 0xa73ac8a2,
+    0x30a629b5, 0x7feddbac, 0xa1056b44, 0x807a97c8, 0x6538d0fe, 0x0d22214c, 0xb66df717, 0xef92ba8d,
+    0xb9a05e7e, 0x1fc8fa7e, 0x8eddeb42, 0x04ec309a, 0x8ddee19b, 0x2bf3d3bc, 0x0a6dc5cf, 0x4ebe1180,
+    0xbc5eedac, 0xb6b1c0d4, 0x879dcb8a, 0xa83405a3, 0xfcb872c0, 0x861d331e, 0xd3abc10d, 0x034af964,
+    0xce2dd310, 0xdd32acf4, 0x4ac607b0, 0xfdcb29dd, 0x4d557e1d, 0x7b758ed7, 0xe344b929, 0xb6686a13,
+    0x2d25c0e1, 0xff37d279, 0x25fcae62, 0x87958bbf, 0x9ebe5f0c, 0xabbd87dc, 0x0961443a, 0x33f57c2c,
+    0x991a5062, 0x0fc02167, 0xbaca5eb1, 0x6b07f729, 0xee619903, 0x60840945, 0x73a299fb, 0x108bac93,
+    0x26d36d9a, 0x606801a1, 0x2fc470a4, 0xc7b60d03, 0x13cfb43e, 0xf746bb99, 0xe7d0db12, 0x7ab44e75,
+    0x32213cea, 0xa46913ff, 0xd2f46e53, 0x74c9b22d, 0x467b2118, 0x158fc854, 0x3477c396, 0x02a89816,
+    0x9ed21af1, 0x6bf37f2d, 0x26be6565, 0x4b9ad7d0, 0xf96b2d24, 0x6e24877e, 0xf5126475, 0x9505ba6e,
+    0xfd39338d, 0xf5bfb057, 0x3db98196, 0x01ef31cb, 0xc4f515f2, 0x6b079c49, 0x8b130802, 0xc2c61640,
+    0x3426ea0e, 0x875d6fa8, 0x9b6d06dd, 0x7d43d639, 0x304117f9, 0x6031fd3a, 0x4d3aaf26, 0x241d9069,
+    0x2f880892, 0x219f8200, 0xb9b28b0f, 0x28871197, 0xdfec3dbd, 0x3e02a09d, 0x3be4b8cf, 0xc66898aa,
+    0xd23daaea, 0x26dff2dd, 0x87111d0a, 0x5751774b, 0x26b5c360, 0x32674e57, 0x02703e4b, 0x62830023,
+    0xbdb41b48, 0xb1724073, 0x69fe0d64, 0x95e1ef81, 0xe3649820, 0xbcd465d9, 0xd4f35b47, 0x439562d0,
+    0xebdf2b0e, 0x90668795, 0xc7a90a10, 0xb06f0f26, 0xebbd168c, 0x5d9b0974, 0x96231ebb, 0x9c228cec,
+    0x79de0f7f, 0xeb659ade, 0xfe2ca6d7, 0xf6e98036, 0xec8dfe47, 0x6990ff78, 0xf7c4f0eb, 0x9189ac18,
+    0x0610c440, 0x5f436a2b, 0x1cc39f70, 0xca585dfd, 0x56c270ff, 0x428b9f06, 0xbc3fd19f, 0xe468e0ca,
+    0xca216ee3, 0xdbfed936, 0x4a8f6454, 0x8333ec5c, 0xf96f2be3, 0xdc63f9ea, 0x7956cc09, 0x4ff51f57,
+    0xa61bbf9c, 0xbeb29466, 0x7c765b1e, 0x65350895, 0xc99a0016, 0x8bbefe8a, 0xcfa721ad, 0xdd3be335,
+    0x8623e659, 0xb511ec14, 0xaaa4d518, 0x062deba9, 0x832ba1d2, 0xf39d61c6, 0xbd246dd8, 0xdf6e33af,
+    0x2411a195, 0xa0d2a817, 0x6c1d56d5, 0xae735a58, 0x16c4bcd8, 0x3e93240d, 0xcf3eecb8, 0x20f224ac,
+    0x9be823a3, 0x6f589a44, 0xeedd279f, 0xc69ac902, 0xecf97f05, 0xabbcfde2, 0xcbda5a82, 0xdd44914f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000100433627766186892221372630771322662657637687111424552206336 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754039, 0x098a562c,
+    0x00000000,
+    0xdcadc16e, 0xe0edba9a, 0x6ec25b20, 0x181ba9ba, 0xd6f9b7a1, 0xe248c101, 0x2f1ee2ef, 0xfd2f090e,
+    0xd2d16035, 0xf828cd96, 0x6e4155a0, 0xd6bd5879, 0x416f2b50, 0x3ddf3a25, 0x36732f47, 0x6f7b3ad6,
+    0x2a95a490, 0x35687b27, 0xc0335cf0, 0xe7848235, 0xef1e900f, 0x14c7a56a, 0xa5ecb0d6, 0xbedac96e,
+    0xcb47d8d1, 0x37e6ad8d, 0x139e34fb, 0x2afbde05, 0x47bca708, 0x07b17705, 0xfe30889e, 0x1e2e61dd,
+    0x237367cf, 0x95d582cf, 0x79ed6101, 0x64bc0c77, 0x9ec19440, 0xec8e7794, 0x5571698c, 0x49ad8ad3,
+    0xcd0534dc, 0x98ceb14f, 0xba0a7a58, 0x5f2bbeda, 0xa037c6ec, 0xc33e0ea7, 0x5ffc4107, 0x30af23bc,
+    0x785bd8cf, 0xc6a22ec7, 0x710e2937, 0x6d094b06, 0x3631c0cc, 0x82b9f666, 0x1a98a747, 0xdca7d359,
+    0x8866b404, 0xfe591fea, 0x15786d6f, 0x7214eea0, 0x41382294, 0x831f0096, 0x5ca3e3f8, 0x7f2adf47,
+    0x284524b2, 0x12cabdc9, 0xf14e13bd, 0xa8f5ddd9, 0x855f1833, 0x33f422b9, 0xfb667116, 0xcb0f081b,
+    0xe5d7680e, 0x1f601a56, 0x2ac0389b, 0x47d35be5, 0x076b0e79, 0xfef1d736, 0xcb2b5378, 0x451eb212,
+    0x9cb8ee8c, 0x74edd2ce, 0x9b1f78af, 0x00751758, 0x2cb3022f, 0x509bf50b, 0x4334110e, 0xc110545d,
+    0xcaeda1e2, 0x48777e1f, 0xe36eae2b, 0xdd6e09e2, 0xa004f8be, 0x9112e676, 0x8dffc0b7, 0xfd8859c5,
+    0x65d15d67, 0xac29ec62, 0x8ca6a28b, 0x784f0349, 0x242f8695, 0xd2fd17cf, 0x77cc14d4, 0xb1ce230d,
+    0xfbf3b493, 0x5180483c, 0x59fcf912, 0xb49c9a04, 0x4ffcc320, 0x12d250bc, 0xbb8b95c2, 0x14f9a126,
+    0x5d535431, 0xec363bc7, 0xfc12cd8b, 0x121e3b61, 0xb4ba0695, 0x7ea4b906, 0x477596ec, 0x132b1443,
+    0x5ecb2e9c, 0xfccee2c0, 0xd6d72a02, 0x6c8a81f2, 0x9a15e0a3, 0x6de33ee3, 0x45347949, 0x1879fcf3,
+    0x6a97539e, 0xab969058, 0xbd853b95, 0x24a44fdf, 0xa834a851, 0xa0ab82d0, 0x30ce0093, 0x7f4db70f,
+    0xb73ca0a2, 0x10ccbfb7, 0x137c84b8, 0x35837dba, 0x0da8ea7d, 0x92a2e2ec, 0xa710a512, 0xfd1d528b,
+    0xc9b96155, 0xf02234ba, 0xeb842a46, 0x9ef24c1e, 0x9a61f809, 0xf74416d2, 0x4ad86b44, 0x1b65e132,
+    0x4e241f1e, 0x7f0bee75, 0xc801c037, 0x2ed06a52, 0x89317adb, 0x3a2fcdd2, 0x743e9bb5, 0x706f9d40,
+    0xa36f4893, 0xcd64c9d3, 0xb9155378, 0x907908fa, 0x84f483b5, 0xf19aaf6b, 0x4eebbe0b, 0x245a3caa,
+    0x1e28f2a0, 0x9d71e93b, 0x483a655c, 0xbf4eab1b, 0x7227e5ae, 0x817d3392, 0x85ccd36a, 0x4348fe25,
+    0x7a287c57, 0xabccb9a7, 0x4a6d48e7, 0xab060dde, 0xd58e3bd1, 0xec5f9f70, 0x50105549, 0x9ea4bdbb,
+    0x660ac1ea, 0x41819b3f, 0x66f8cd52, 0xf7e33f78, 0xd5618cf7, 0xeaec7f0d, 0xb6a40b5d, 0x3959677c,
+    0x597f258b, 0x480324eb, 0x5473439f, 0xb444bdc5, 0xd669d497, 0x3a88d27a, 0x23edf588, 0x8844d65e,
+    0x8111e80a, 0xa18cccfd, 0xec886f8b, 0x23b166e1, 0x15bc87c7, 0x766fb9b1, 0xbf1ea76d, 0x9dbc849b,
+    0xe9387408, 0xf9a99e2d, 0xd237116b, 0xcbefa425, 0x1a1b5c8d, 0xcac26086, 0x05052b94, 0xa367fc13,
+    0x21870e8b, 0x4e1aebc2, 0x90b4f43e, 0x279926dd, 0x47456745, 0x0362741a, 0x1e603cea, 0x2cc11a82,
+    0x5cdeb719, 0xaa1ccd92, 0x931cd5ab, 0xb1ebfb1b, 0xfcc7d187, 0xd01a3abf, 0x6e67a843, 0x4f5342a0,
+    0x9f6d89d0, 0x3ac84494, 0x7b53cb9d, 0xddbbb62a, 0xe548e7d6, 0x2a20f84c, 0xa65bcbc4, 0x3f5102be,
+    0xc2a756f9, 0xb812af10, 0x01976918, 0x0d13b5d0, 0x751c2daa, 0xd4181dce, 0x1bbda0d5, 0x147488d2,
+    0x78f2e53d, 0x44156a25, 0x891ea768, 0x68e9747a, 0xf641ac70, 0x288f2946, 0x9977cf19, 0xee22d088,
+    0xdb0722c7, 0x1463b2b6, 0x91f3cb7e, 0xf15c84e0, 0x27a497fc, 0x3674fe16, 0xeeebb57a, 0x6f2d4b48,
+    0xe183cd91, 0x847775b3, 0xe61af746, 0xf7477998, 0xce03a26f, 0x397fdb9c, 0x877b5a03, 0x7d158cd4,
+    0xfc20b332, 0x92862dd3, 0x8486fa4a, 0xe3c9b339, 0x12dd3fb0, 0xd1cb24a1, 0x1f03a82e, 0x617d1b36,
+    0x82e97a96, 0xd858c9d9, 0xedaed1ec, 0x78d8e1c4, 0x25ce264c, 0x37d6f303, 0xde68edd0, 0x4df43451,
+    0x2792c2b2, 0xceccc24e, 0x91b37f90, 0xcd7af963, 0xcdd85697, 0x9c956802, 0x8d8e52da, 0x477d6e8f,
+    0x936fbef9, 0xf2d70bd7, 0x3ed32ba3, 0x4eb91790, 0x210219c6, 0x6fd386c4, 0x30f88224, 0xd12bf426,
+    0x27640ebf, 0xff8fc733, 0xe97b01fc, 0x3e3e2980, 0x5fc6e242, 0x2189cf4f, 0xec2b63d8, 0x40da5c8b,
+    0xc24ea9b9, 0x047f476a, 0x6356b817, 0xcb6e0db4, 0x28cb217c, 0x4bf89d20, 0x59cd3c8d, 0x16b36f1d,
+    0x1e7d1d83, 0x5f10eb1b, 0x1c42e469, 0xc1daba3b, 0xc271da7c, 0x8d502b53, 0x70e675b2, 0xb5750e8a,
+    0x9f1da12a, 0xdce5b146, 0xe86d0a65, 0xc1cc9458, 0x1b7141f2, 0x72010ade, 0x02679767, 0xa4373be4,
+    0x1cfa3f05, 0x628179fa, 0xa2f1bc91, 0xa7b71ed7, 0xc8082c05, 0xbed65dd4, 0x3c14f87f, 0xe407ffad,
+    0x9b751bcc, 0x299c8491, 0x069a572e, 0xb245b558, 0xb3ab0af3, 0x1aeba12a, 0x4369d14b, 0xeeb76efa,
+    0x0ed7a44e, 0x906ce271, 0x3d3bb87c, 0xd5dc5de8, 0x56b08ae7, 0xd626626a, 0x59001f6a, 0xbeb5b1ce,
+    0x13ec3c42, 0x015bc18a, 0xbde696ba, 0x4df065f4, 0x804a4ea3, 0xf0565036, 0x7f8b5ae0, 0x556759ca,
+    0xcb8f1dd1, 0xd9cac0bc, 0x2577ba5a, 0x6c8e896d, 0xfc59c740, 0x48972a26, 0x4e72b513, 0x61605412,
+    0x19e105af, 0x07804d55, 0x0569d36b, 0xcf8436c5, 0x1486ec20, 0xde084c54, 0x3aafda2a, 0x1df9ef2b,
+    0xb7828c22, 0xacd0f489, 0xf7869432, 0x73a76759, 0x86ea7498, 0x2f214631, 0x3df59c3f, 0xf5029950,
+    0x98325e38, 0x47942f74, 0x6e5cb5a6, 0xe35d91f3, 0xe6e34e80, 0xcb5cf9b4, 0x951703b2, 0x52bb25ab,
+    0xa579a4b7, 0x448fbb61, 0xb680cdfb, 0x7b328e0a, 0xacf23abf, 0xac36ed16, 0x6581f97c, 0x14450a0e,
+    0x05d84026, 0xb8562fd9, 0xba207c55, 0xeadc64f3, 0x4f955e1a, 0xc86be881, 0xd23a3924, 0x91fb5909,
+    0x6b68bfbc, 0xb0fc7dc4, 0xb4d4ec50, 0x8cf1f9b6, 0xdbce67bb, 0xa0d1c0d0, 0x16fa518a, 0x50efc838,
+    0x5b08e1a3, 0x70fcd35f, 0x824ac157, 0x64d43e5d, 0xf22b98ad, 0xb0d168fe, 0x6e3d178b, 0xe7d0258a,
+    0x710d97f9, 0x474423bc, 0xf040716e, 0xc941d790, 0x190de547, 0x3cca4bd7, 0xe3d04f37, 0x496b66d8,
+    0x99cede14, 0x3b1c8686, 0x357d0bff, 0xbb214392, 0x34d09333, 0x93e622ad, 0xd4a4eb4c, 0xcc4f7c5b,
+    0xd2242da0, 0x2a14d83e, 0xf84bdb55, 0xb6773c99, 0xe6b21f2b, 0x1a2e6db6, 0x0a69a2c7, 0xff03fce9,
+    0x19acda83, 0x2227473b, 0x9bb7016c, 0x6dca87ee, 0x8c1df26e, 0x5892720b, 0x127b164d, 0xa305c2ac,
+    0x587579cb, 0x5ed3d934, 0xb8cd6d08, 0x1690ee4a, 0xbea05c94, 0x952d7b82, 0xdf899af7, 0x25aadcc4,
+    0x476addf5, 0x574f18af, 0xdddfdddb, 0xedf148a7, 0x66eb815c, 0x1bdf0cbd, 0x3f1d0d2a, 0xb65d9fca,
+    0x1273a679, 0xa5752c14, 0x2f72fd5e, 0x8feeac27, 0x7cd42e8f, 0xac153a1d, 0xad6f427b, 0x1ba560a6,
+    0x0dbed7b9, 0x1dc56598, 0x388dd90b, 0x33a54ee1, 0x51305af6, 0x4f872224, 0xbc9710af, 0x97a2cc50,
+    0x6b9e8370, 0x5843f4eb, 0xd051b64d, 0xe4988ec7, 0x205f8c7b, 0x623d4086, 0x40526ffa, 0xafdf219c,
+    0x67e47e81, 0x86686e65, 0x774d6e78, 0x8931f613, 0x72ae9795, 0x5c82beb4, 0x7715aa1c, 0xa3e4be7b,
+    0x30e1787d, 0x7e67b4e4, 0xe4513130, 0x99a92c02, 0xf02113aa, 0x79bf7cd8, 0xf919ec94, 0x23cd7102,
+    0x86bd9cc1, 0x2f80c80c, 0xc73a819d, 0xf077d37b, 0x7f43c969, 0x34bd8e8b, 0x45344dd4, 0xb0ea6dfd,
+    0xf60835b4, 0xfe40aeb6, 0x526015ff, 0x1a1fcd98, 0xce6e33d3, 0xc348cae4, 0x67cf74af, 0xec043d94,
+    0xf65b4a5e, 0x0b349477, 0xe502ed57, 0xd5dc9e79, 0xfc3eb8fb, 0xe6054d5e, 0x36584aa6, 0x6d935290,
+    0x17ca072f, 0x78cd5d80, 0x7e2324ef, 0xe958df8e, 0xb5f7889f, 0xae456791, 0xfda011e7, 0xf4636708,
+    0x9b29b957, 0xa903da3f, 0x95789d6c, 0x7caabb0b, 0x8eb9f2e5, 0x76eb8d5f, 0x14a14a7b, 0x943a4c7d,
+    0xd1d66c82, 0x905140d7, 0x03fba079, 0x5275f02e, 0xa6ba3c4c, 0x2a949ab2, 0xa1e37bf9, 0x88aca64f,
+    0x0d818ee1, 0xf7bee0f3, 0x67ada04a, 0xd261f9a7, 0x094ad52b, 0xa5547bad, 0x11b1a132, 0xc34db897,
+    0xd4bd421b, 0x3cfd2588, 0xa1ce8c25, 0xdfa65ccf, 0x97203b72, 0x629f566e, 0xad5591f0, 0xd390e110,
+    0xa32d2f71, 0xbd59211e, 0x70700513, 0x8ab461e5, 0x4a3bcb24, 0xb7728fbe, 0x836c8e18, 0x0f8bb62a,
+    0x8107a00c, 0x848f0315, 0x2abdbace, 0xf2b295af, 0xf196021b, 0x16e14c0c, 0x49ecd471, 0x6e0048ce,
+    0xfd352737, 0x011e5350, 0x5cf04c3d, 0x773d31fe, 0x3422d675, 0x8538e861, 0xe3778f10, 0xccb7dcc6,
+    0x37af7e6b, 0xde0ee8b7, 0x7980712e, 0x0eac2f30, 0xb85cf8eb, 0x6f3f89d6, 0x485e49b3, 0x7f2087f4,
+    0x67c68fe4, 0x910071e7, 0x55834f96, 0xc4e42f91, 0xa25cbaa1, 0xf68a4154, 0xcde63402, 0x4d228d61,
+    0xc37f0540, 0xc60102c7, 0x04569baf, 0xc24a49d9, 0x1ccaf44c, 0x923736d7, 0xcb4e49df, 0xc5264a1e,
+    0xb7580a8d, 0x55ceb2ef, 0x100209e1, 0x5cc9d19d, 0xff07d606, 0x9e1d049c, 0xa2a5ff7a, 0x4deb4026,
+    0x41159fbc, 0x9df482b6, 0xd8ae078d, 0x316887f6, 0xd4b2699e, 0xce7ee99a, 0xae542503, 0x7742c6f1,
+    0xcde17c24, 0x4fd93d71, 0x7dc6ebec, 0x70b5c3b4, 0x0b8409be, 0xfdcaa481, 0x336b9b7d, 0x385b3419,
+    0x838c235a, 0xbb31f678, 0x0eb0019d, 0xe9eb5000, 0x3a20fc61, 0x2477cb90, 0x6983400b, 0x0ee97c08,
+    0x01786da4, 0x4ceed3ca, 0xba9b0d64, 0xead8cd7b, 0x5907b7f4, 0x9c2a5a68, 0xa186c889, 0xaf167555,
+    0x26d5de28, 0x3e9bbbcf, 0x4a0d55b7, 0x2a56b054, 0xeacd0ac1, 0x467760a7, 0x442e6c90, 0x5319e6f8,
+    0xe0015777, 0x81586f4c, 0xac31dbc3, 0x810ffd9d, 0x99202e5e, 0x5c21f44f, 0x4c3e20a5, 0x87170c0a,
+    0x7f4cb706, 0x997e6693, 0x56526f18, 0x340f8897, 0x5f0a537f, 0x120fbace, 0x0e46748d, 0xe3e54d5b,
+    0xd0261ce9, 0xd6f67cc2, 0x6f2e54ca, 0x875071a5, 0x0134cd33, 0xf9570ac3, 0xd10a609b, 0xae9b4b67,
+    0xaa638bae, 0x56abe337, 0x08b41c3c, 0x43d79cbc, 0x3b64adb5, 0x89a90f44, 0xc7424fd7, 0x97d90e00,
+    0x6485bc9d, 0x2e845382, 0x0707de61, 0xa252d72a, 0x27bae958, 0xc02a148d, 0x659c10db, 0x2256ef8e,
+    0xad571750, 0x48112a57, 0xce86374b, 0x32b7e7b6, 0xed7f1b02, 0x453e7724, 0x32c63f03, 0x6ce6b0c8,
+    0x81ab0482, 0x2149151d, 0xbf30a677, 0xa56ef597, 0x27663bbc, 0xf5dd4250, 0x24ce3ba7, 0xf1643683,
+    0x6096d44c, 0x771cce8e, 0x54777ac6, 0xc6a0afba, 0x2e2691cf, 0xa4f4a492, 0x5101ffe3, 0x7054563e,
+    0x5b83ca0b, 0xf89bc48c, 0x479028c4, 0x13bdf17b, 0xec4ceced, 0xe0cd2030, 0x4eb60af7, 0x62e3d52b,
+    0x41d4ad47, 0x678e2c8e, 0xfb277614, 0x95fc6f8f, 0xc2db6125, 0x9af76bb4, 0x5e44b159, 0x250010f9,
+    0x0315b43d, 0xe6c9a89a, 0x1a315aa7, 0xebb684c0, 0x9ae42ff7, 0x0f27d0cd, 0x97a2fe84, 0xc6cdf9cb,
+    0xe09033fc, 0xfd856f85, 0x802f37a3, 0xae906e10, 0xed4e5c41, 0x928b8afd, 0xc71a0086, 0x3820c2b6,
+    0xf31762c3, 0x2fafd137, 0xe234f3ad, 0xcfd97589, 0x4ad6eaca, 0x5b976f9b, 0xd1f1638a, 0xeb58299c,
+    0x9471cc6f, 0x3e2d04f9, 0xf75a9615, 0x6cd532fe, 0x4613aa01, 0x295825b3, 0x3555086f, 0x1583b3f8,
+    0x35c4d85c, 0x5f06763d, 0x491eaa3e, 0x89500c8a, 0x15dd87f4, 0x90b89825, 0xd614e3d6, 0x935cd092,
+    0xa08c692a, 0xb58430fa, 0x99e5a07b, 0xa1b7920e, 0x252e01bb, 0x6937b3f9, 0x1c26edef, 0x96fd9efe,
+    0x0ce1db8f, 0xbc119a57, 0x502e23f8, 0x8ccbaf15, 0xe508a492, 0x96e37601, 0xa57993b1, 0xd91f8a7d,
+    0x8257c90d, 0x28aeb084, 0x365e0cd1, 0x2d267abd, 0x16ef7983, 0x85318036, 0x70d5ed4e, 0xfea92d92,
+    0x1ad8db04, 0xf32793c1, 0x1cd49a6a, 0x4887fd36, 0xc5f8bc9c, 0xbd02d61b, 0xf495e9a8, 0x9925cda4,
+    0x7dd0493b, 0x43046928, 0x8b0b6860, 0x35bbedce, 0x8fab1b48, 0x9c037b7e, 0xf4cfe9e8, 0x149731c4,
+    0xa9a15d66, 0x0f6ecf0f, 0xb8ed7545, 0x081600e2, 0x51d69a47, 0x7c30c27e, 0x24d5bc6d, 0x8b53aff8,
+    0xe2bb830d, 0x8945c70f, 0xff82febe, 0xde156771, 0xa0ad7c3a, 0x8656eff2, 0x4d103a46, 0x14bd715c,
+    0x3b6aaad6, 0x16866ec3, 0x0a133c35, 0x267ea421, 0x0020ebd5, 0x06c3ac61, 0x00120bc3, 0xd5c56f66,
+    0x0075231b, 0xf7cfb9f6, 0x9a2a2858, 0xc2a6820b, 0x106c3337, 0xdef4263b, 0x045cfc6e, 0xf87198b1,
+    0x2b3f7fda, 0x1f531666, 0x7ca30e00, 0x0ecb9fb9, 0x7c9a55be, 0xaa0abc1d, 0xb1b30ffe, 0xbb232233,
+    0x7af825b9, 0xec8aa512, 0xdb5001f8, 0x28523fdc, 0x96236d28, 0xddebbcba, 0x02d4508e, 0xcc2fa8e4,
+    0x72070c54, 0x51dcff9f, 0xefeed59a, 0x8e4df4fc, 0x4f53d870, 0x9a56266f, 0x11e6efb5, 0xd5221ffd,
+    0xd104ba0b, 0x1c604126, 0x0f12d210, 0x4b51f6f2, 0xd953369e, 0x4db1d0ca, 0x85ee5eb9, 0xea112de2,
+    0xf60ddb90, 0xc5e32a18, 0xd9774f8d, 0xc51326c1, 0xd19fff34, 0x5e6f7bae, 0x782e4bac, 0xc4f2abbb,
+    0xd250aa84, 0x2a346907, 0xff6d1004, 0x309ba7ac, 0x8748f3bf, 0x9704863e, 0x9089b570, 0xa4b643d0,
+    0x0148b5eb, 0xa4456ea9, 0x69a79948, 0x910743a7, 0x46ceefcd, 0x7d07b652, 0x3270d680, 0x83188bdf,
+    0xc35a1b71, 0x70b812a7, 0x38c904af, 0xf92f5d2d, 0xfdb7b35b, 0x0dfa75ab, 0x357ecffa, 0xbbdb74f4,
+    0x29273bb3, 0xed225418, 0x75b66b22, 0x51537a52, 0x21165cb3, 0x6c43aa84, 0x59940d92, 0x9379a081,
+    0x6f2ce59f, 0xbcb5a61b, 0x40bd5ba3, 0x71857a57, 0xf813c586, 0x91c958d2, 0x26b88b39, 0xc2cd2bce,
+    0xec78d64b, 0x8e3e0240, 0xb1de4f52, 0x6e5eef2e, 0x4e2e9e69, 0xcc1c2d8c, 0x1ea664a8, 0x6d37771c,
+    0xb3126420, 0xce2f3842, 0x1145749c, 0x2261f5c7, 0x30f148d7, 0x4ba6341f, 0xab844fe5, 0xa2ca51e8,
+    0x2c7a5b9c, 0xfee018de, 0x331a7794, 0x6a1b8cd6, 0x25d72648, 0x5fadbef7, 0x426729cf, 0x42d044a9,
+    0xf25ec477, 0x19eacfcf, 0x9572efc0, 0x85ff0d14, 0x2e5db188, 0xdd73aedd, 0x50fb68a6, 0xf2661994,
+    0x662afc7a, 0x9494f6e3, 0x5685a44c, 0xc5c86736, 0x618a9439, 0x48d4edf5, 0x06427e5b, 0xe2feec6b,
+    0x1a822a4c, 0x59202383, 0xd31110b6, 0xcf8235e5, 0xc550590b, 0x3897ede3, 0x7eb0621b, 0x0c5e9c21,
+    0xafc48db9, 0x5ab69fb5, 0x7951b9b3, 0x9f3d7ebc, 0x10a53bc5, 0xe1e2dbef, 0xac6d0174, 0xb0a03b1e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000050216813883093446110686315385661331328818843555712276103168 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01c, 0x84c52b15,
+    0x00000000,
+    0xedaf2483, 0xbef9260d, 0xaddac8fd, 0x0628b2d3, 0xb14e8678, 0x5130990c, 0x01c3e87d, 0x421398ba,
+    0x0579c603, 0x73664d07, 0x5c846e3a, 0xbaeeb67f, 0x6d7a498f, 0x88791d35, 0x299a5255, 0x021a7d5b,
+    0x18e364ae, 0x2ed5cb24, 0x916dfbee, 0xd19604ce, 0x63984284, 0xcc6aec28, 0x8353fd53, 0x98edd5c0,
+    0xd0f3d6e3, 0x3e6b7bd5, 0xf090d4d5, 0x39f70de3, 0xb4c4db88, 0xb689aba2, 0xf6d79924, 0xd1f136b4,
+    0x284a65ac, 0x2f9c5aa1, 0x60bc6db7, 0x84102ded, 0x9d2f5943, 0xfa008fb6, 0x76a12717, 0x3150b535,
+    0x587dec6a, 0x4aa7271a, 0x904ee927, 0xe1d1698f, 0xd952ed9a, 0x5682af52, 0x92c54e67, 0xf7c8e16e,
+    0x2d6cc040, 0x901559e0, 0xd4c7bab3, 0x59c08502, 0x2c2db492, 0xb7ad5f6d, 0xb4eabf85, 0x430c160f,
+    0x32b79e27, 0x269bc9b9, 0xe9c7a112, 0xa7aa29b3, 0xe6ea824d, 0xf5ba13d9, 0x457292ce, 0xf4c90195,
+    0xbf4f57bc, 0xdcdd575b, 0x2cd4f5c3, 0x6199c9c9, 0x6ff22cbf, 0x932ffe38, 0x8ed4c931, 0x940abc14,
+    0x63a5bb8d, 0x887e463f, 0x27c04da3, 0xcb67d9b7, 0x36312ee5, 0x7db73141, 0x1944ea5b, 0x037b95b7,
+    0xf7cfd891, 0x2aff3da0, 0xd168e896, 0xa7648e37, 0x43154aa3, 0x87dbe39f, 0xb5c2e10e, 0xa64643e3,
+    0xfdffb277, 0xd59dc573, 0x989c2583, 0x55dcd6f2, 0x5ba52190, 0x0ffeffe5, 0xde2e1d14, 0x1bd92cc1,
+    0xab715065, 0x0abfbf67, 0xe29b6a8c, 0x7555e8c5, 0x24ca6998, 0x54b83f5b, 0xe677d114, 0x682074b8,
+    0x4be482a4, 0x3cfb9fe8, 0x84bc96d2, 0xd9101cea, 0xb614fc4e, 0x203dedd6, 0xba93e15c, 0xb2a36aad,
+    0x8e79b7e1, 0xf3484aaf, 0xaad79202, 0x960155aa, 0x0b68c5f1, 0xbd8a3c1b, 0x7e57b97b, 0x807d7cf5,
+    0x4e3f6057, 0xab822c58, 0x53be6a87, 0x61530c3e, 0x852d739f, 0xf6d0dcee, 0xba27fb47, 0x75c48250,
+    0x51d8c64c, 0x1e0361c1, 0xe908b23c, 0x3b41b28d, 0xee3d6b0c, 0xbd5eac8e, 0x2e3a0645, 0xcc99f703,
+    0xecf17fce, 0x95beb460, 0x87fa9487, 0x551388e1, 0xc148f4f8, 0x3a83716a, 0x0a59af64, 0xd6886a1b,
+    0x332eab4f, 0x82453291, 0x429ce902, 0x189da321, 0xd0bc4e19, 0xcc66f39d, 0xcb601808, 0xcf9f86d9,
+    0x9078b71d, 0xb08199e0, 0x53d1b8b1, 0x663d721b, 0x4d6c08e8, 0xedb07c24, 0xdce71c63, 0xec50c3db,
+    0x763f319c, 0xbb8791a6, 0xfc1e2a4d, 0xac6e152d, 0xf6de546a, 0x396d1ae4, 0x19f2c6de, 0xcaac2e43,
+    0xa99a564c, 0xf3dcdeb6, 0xd34af9d5, 0xa65db8d9, 0xcddddae3, 0xe95ba8ba, 0xc90f5ae6, 0x83dcbdc6,
+    0x29c17ed5, 0x30e1e6eb, 0xcfa8e204, 0xfe4a702d, 0x6d1782a9, 0x4bcd9a49, 0xc40ef7b1, 0x363e75e0,
+    0xc06f6ff7, 0x2a941b52, 0xaaf35fb6, 0x39516194, 0x8cf0c5e0, 0x77574dfa, 0xf98e36bc, 0x948d56d2,
+    0xba6d9477, 0xf98c5e0a, 0x823499ee, 0xd294daee, 0xb463c31f, 0x5991f376, 0x18071d54, 0xf23557e1,
+    0x878fa623, 0xcdb06d27, 0xf25c72f4, 0xc635e082, 0x1b88a97b, 0x4ccc0d62, 0xca5aa984, 0x0ed6de0a,
+    0xcd0ff521, 0x5b2a4775, 0x77bb3464, 0xb8d364c8, 0xdc7e0b9b, 0x93f4994e, 0x1a3c7f26, 0x86f29b4c,
+    0xed2f89e6, 0x5c5ecc04, 0xbc6ffc98, 0x3ac968af, 0x71caf8a0, 0xaebee5a4, 0x9e1b1a87, 0xcdefe7ad,
+    0xf2bde4bd, 0xadb3aa0d, 0x9846382a, 0xb2bf89fa, 0x0de348d9, 0xd9058f78, 0xa0bffaad, 0xff6a296e,
+    0x888cbf80, 0x3f7d9bbb, 0xf3a06fb0, 0x634a46d4, 0x366f3a0d, 0x051310b6, 0xfb6f02f3, 0x2fc6c213,
+    0x5a361c7a, 0xad6b08f3, 0x854784e6, 0xf4867e7a, 0xfebcd19e, 0x698e5ca8, 0x6af61d07, 0x65c4e02b,
+    0xea691085, 0x74f52208, 0x5781b897, 0x9a9325b5, 0xe28e58da, 0x931a31ea, 0x6a6edc59, 0x5eab7d09,
+    0x9eb63528, 0x0306e808, 0xb3fac1e9, 0xf0317feb, 0xc3a8a6b0, 0x115e1c1d, 0x28499c0e, 0x2e0db3b1,
+    0x27b94b42, 0x4cbeabec, 0x2c47bd15, 0xcb0b0cfe, 0xd81889db, 0x44827838, 0x5fc39f5a, 0xe353cc08,
+    0x9e897d3c, 0x767a9565, 0xc0578c69, 0xf9234800, 0x3f39b270, 0x3e1a3e17, 0x7a1f1e9d, 0x92f01111,
+    0x34818c2c, 0xb68d56a2, 0x6acb8fc3, 0x4d9d3081, 0xd3e2d100, 0x647daea3, 0xe42b25e1, 0x6d5b22de,
+    0x72aca01b, 0x9f6b2a68, 0x670204e6, 0x5289e7bb, 0xdbf981e6, 0x0422e620, 0x82d98c21, 0x588894e6,
+    0x5f5c9c13, 0xf8efbdc6, 0x27558acc, 0x58fb156b, 0xc630c6f0, 0xdb536924, 0xc23a1b42, 0xeaaffa9b,
+    0x82a9fff5, 0x59f15eb2, 0x8556248c, 0xe1921a8f, 0x61340ea9, 0xd996f9fa, 0x6c10cbe7, 0x2287c86a,
+    0xbcb309a7, 0xfc6e578a, 0x6172763f, 0x29471ee9, 0x7f4ecc2c, 0xfe6388fe, 0x715fd14f, 0x8db8c7e6,
+    0x9eb3ed5f, 0xaa399667, 0x46ea9b08, 0x65f02182, 0xa4cabf30, 0xe77afa23, 0x7a95710a, 0xc12ce1cd,
+    0x599f65ae, 0x5cde8f84, 0xa36d32d2, 0xdee824a6, 0x17af1774, 0xa5e583b3, 0x4840efb9, 0xab70599c,
+    0x634af71e, 0x1daf8940, 0xc50d1687, 0x2bfd399a, 0xe3125d5e, 0xf1438010, 0x3d6943b4, 0x111fa87f,
+    0x1584f3d5, 0xda81b40b, 0xb513455b, 0x925d9743, 0x8b6cf9a1, 0xdf909adb, 0x921dd9ca, 0x1f5f08d1,
+    0x12a78e07, 0xdca2c764, 0x36fd1c53, 0x7b64af15, 0xf4c9f6f8, 0x71945f35, 0x18d9cba5, 0xba957065,
+    0xe14db9e4, 0xa78c3c60, 0x58362d24, 0x12108ce2, 0x457bd912, 0x3701a0a4, 0x26475fb9, 0x678f5035,
+    0x35ce508d, 0x152bdd11, 0xf982d51e, 0x591c2dff, 0xe5228067, 0xb7e2687b, 0xa16b1e45, 0xf0a28bd6,
+    0x1eeeb8e1, 0x11d30f60, 0x32d8fa25, 0xdf132742, 0xd8f1da16, 0x78ab5ded, 0xaa9de045, 0x6e421a24,
+    0xa47d40f5, 0x6e9be193, 0xe300fe88, 0xe43a6ab8, 0x1b9d497d, 0x4a5db27a, 0xdd8e2564, 0x2aa1ebdd,
+    0xe1bea6e4, 0x8e25616f, 0x550ce811, 0x5a0eafac, 0x4b735f45, 0xb6ce4a84, 0x3008d415, 0x9aed29bc,
+    0x310f8f7a, 0xb1ffb89c, 0xc7516e3c, 0xc3e23c6c, 0xa4c80646, 0x1288bd15, 0x2a4b2e27, 0x9174e122,
+    0x1d2cacba, 0xc4c11420, 0xda5fb7fa, 0x0fefc94a, 0xc1dfa739, 0xbbd4aeb9, 0x105a04b4, 0x436cf0b3,
+    0x7290f77b, 0x1a665867, 0xe3c55900, 0x328027bb, 0x3a7b3e6d, 0xf2fc7318, 0xda38be22, 0x6ab173a7,
+    0x15792c42, 0xdc94c8eb, 0x207dc4f2, 0xe33310b4, 0x11b83470, 0xfca39010, 0x246546ef, 0x598ac741,
+    0x6499559d, 0x67082f61, 0x83892c93, 0x3bdf070d, 0x0d719013, 0xe4246f97, 0x71914df4, 0xf00201b0,
+    0x890f43c6, 0x322a1f4c, 0x63a1f9d4, 0x055583fa, 0xf2a11172, 0xa1597b72, 0xf858e852, 0x0a750c70,
+    0x493e859f, 0xd1f369a8, 0x8f1b26ca, 0xb12e6300, 0xf4589159, 0xbda498f2, 0xf1e896e9, 0x0ca87185,
+    0x2c7927f1, 0x765c89b5, 0xd29360fc, 0x1dced96c, 0x12eb6bc4, 0x938b0d3f, 0xd139f2a4, 0xff7a637b,
+    0x32fbef53, 0x3c646bf1, 0x63f42b3a, 0x012d4b60, 0x89ef8788, 0xaba029cf, 0xbc7a3031, 0xa8ff1ba6,
+    0xb92696bb, 0xde72893a, 0x62a70b70, 0xff52e831, 0xc0dbaddf, 0x8eefadfc, 0xaa906eee, 0x82b4d661,
+    0xb0957739, 0x85a738a1, 0xab372404, 0x8e777785, 0x0e9ccc54, 0x9bec81fd, 0x1dc7c715, 0x6b44b4f3,
+    0x31275815, 0x24a2a41a, 0x9fa992d7, 0x4df8615d, 0xa1268041, 0x81599b60, 0x1e5ebb89, 0x85bc32d1,
+    0x03f151ef, 0x7c42dd35, 0xca0c5078, 0x9c276923, 0x0aadb108, 0xacb93e95, 0x2f9271b0, 0x9bb07653,
+    0x7bd42523, 0x807d50df, 0x7c92f50f, 0xa7f890a8, 0x8f321c3c, 0x8156c537, 0x41624e04, 0x272dc0e7,
+    0xa6298411, 0xe5fb2e60, 0x1fc5d984, 0xa63cc088, 0xc9bbfeaf, 0x9403b4c3, 0xb5826e0d, 0xe27a6049,
+    0x8a9e123f, 0x0c049493, 0x9038117b, 0x6e04f7b8, 0x968fc2b4, 0xcb94426f, 0xcf75bf5d, 0x75aaa677,
+    0xde51de88, 0x1ddcd634, 0x3de56f8f, 0xbdc7c3b1, 0x22962336, 0x084eeb75, 0x60340943, 0x936605e5,
+    0xd2545ba0, 0x2fd90652, 0x6a7573cb, 0x69a0531f, 0x31eeb06c, 0x302668d6, 0x4fa8da06, 0x544de3ee,
+    0x610accc1, 0x0d0dd47d, 0x5037f3ea, 0x24e00a2b, 0xd5fb3eaa, 0xc86ef861, 0xe26677c4, 0x56567bda,
+    0xff7a62a9, 0x65d9372e, 0xcc91e8db, 0xc2d7949f, 0xcc1f204d, 0x72539cab, 0xb7c1fae9, 0xcd785923,
+    0x91c9d5a3, 0x24692de6, 0xfa9581cb, 0x7f4cbe6c, 0x4f4305d3, 0xf9ae5a4a, 0x0a8e9eaf, 0x75843410,
+    0x15c29d15, 0x81731615, 0x2ffc6bd5, 0x8d567b36, 0x05579e63, 0x679d96ab, 0xa78ed3f6, 0xb66ba0ee,
+    0xc0b82d6a, 0xb2e6353b, 0x77286075, 0x1e8181c3, 0xfabeda37, 0xb438126c, 0xc9e6c6b8, 0xe633ddd8,
+    0x95cb93f9, 0x303c7c3a, 0x7aebea20, 0x7503a3bc, 0x75787cac, 0x0f244ecd, 0x700c55a9, 0xf54def31,
+    0xeac30257, 0xc3a9178b, 0xc6d972cc, 0x2b7adef2, 0xc7fcaa32, 0xd4ab6a4e, 0xd744078c, 0x697ef8da,
+    0x668dac80, 0x77e7e7ec, 0xc926e617, 0xdbc49349, 0x41910fd4, 0x22022e28, 0x4ee05f97, 0xa844c15a,
+    0x2ac86305, 0x68b4270d, 0x6c254937, 0xabfcd287, 0x54141e42, 0x4179f7b4, 0x91051adf, 0x7ea7df4f,
+    0x6c97c9d0, 0x5a5c450f, 0x04f66a23, 0x8c8b2c0a, 0x9ccca8d5, 0x08563a4d, 0xbfa866e5, 0x01c999ab,
+    0x8a04ac51, 0x42d6c650, 0x3458c520, 0x4e14d2c1, 0x79a006eb, 0xae588040, 0x446cb850, 0x5d056935,
+    0xacbf01ed, 0x2ed5dbd1, 0xb4209c4d, 0x9780e62f, 0x4b474ff9, 0x5746d846, 0xb313fc4c, 0x73fa731e,
+    0xc0d6d984, 0x1499a894, 0x0c05b2e7, 0x1acd470e, 0x40f56d89, 0x47b08f58, 0x2e937fdd, 0x3213619b,
+    0x415bd0b4, 0x18656914, 0x80cf0b9f, 0xed39aee6, 0xdb35199d, 0xd6868306, 0x41a3f845, 0x63c6420d,
+    0x8cff130b, 0x4fc362d4, 0x72ac17c5, 0x034d0db3, 0x286d94b6, 0x9b36a599, 0x3773b0c9, 0x6068585b,
+    0xb1c1452e, 0x3079ee03, 0xeb22c2da, 0xe791067b, 0x8fae5337, 0xbe001b80, 0x18356aee, 0x835b208c,
+    0xa7eadd2f, 0x6a9e65e8, 0x2e5adee1, 0xded81220, 0x224e82fd, 0x49fbcfc7, 0x83ac0df3, 0xf2de4fe5,
+    0x44ff7aae, 0x7fe5826f, 0x77141052, 0xec06a4bf, 0x905466e3, 0xcb6fe7d0, 0x7c24ea51, 0x82fd1d5d,
+    0x921e0ebd, 0x4d70a70d, 0x2ec28424, 0x6d96c5e6, 0x4058094e, 0x72bd0cc3, 0x0d6ac77e, 0x623a208f,
+    0x19cb3788, 0x16e26789, 0x00b83e63, 0xd108639e, 0x51ec7599, 0x984d38b9, 0x2d038110, 0x9ae48166,
+    0x0fb54ede, 0x10718767, 0x016148c4, 0x04c521a8, 0x5bda71b0, 0x4bd5d7ae, 0x12419049, 0xc3e71fe7,
+    0x34150f68, 0xf1a86c67, 0xf6e90ffe, 0xed77c573, 0x71d9077b, 0x32ba9a82, 0xf4d886f4, 0x23b21122,
+    0x5646d529, 0x57ac49c8, 0x60f81807, 0x6af052ad, 0xe97650e1, 0x3008dbd4, 0xa568640e, 0xc143fc9b,
+    0xfaf8d4f6, 0xdf5d0749, 0xddc0dfe7, 0x3c91b8e3, 0xa46ab607, 0x549f6818, 0x3aed365a, 0xac45275e,
+    0x612e2e1e, 0x856db6c4, 0xd0aabfad, 0x1e09fa16, 0x26556110, 0x15c3f40b, 0x5722dd46, 0x1ac04bb8,
+    0x7430e283, 0x78abe3e2, 0x70a3872a, 0xd19a4fc5, 0xdea4dc44, 0xd3bddee8, 0xc7f934f1, 0x7da36a40,
+    0x6474e035, 0xe8b4769d, 0x1e161253, 0x4b9fe05a, 0x9252c0a2, 0x7ccfc94a, 0xeb8ff9ff, 0x7827eac6,
+    0xd2964805, 0xb1d535f9, 0x70647e05, 0x26d5aa77, 0xc6dd72e6, 0x08fc20a2, 0x5a4bcbd4, 0x8461276a,
+    0x5881f3f8, 0x1acbd7c6, 0xd0e596c5, 0xf40db9fc, 0x272719ec, 0x6fbd2fab, 0x78f1e350, 0x4a1c3470,
+    0x44805a0d, 0xcb5df3d4, 0xfe092591, 0xce072a93, 0x4126026e, 0x3e9d3ac5, 0xbbb46b48, 0x6f929d8e,
+    0x54d66a2d, 0xf71e96b4, 0x79872fef, 0x96efe69d, 0x39a669d0, 0x57388cd2, 0x93ea7e1d, 0xd1da7976,
+    0xb3c75896, 0x615e1b93, 0x2cd428a0, 0x0605f7fd, 0x34a1ecf2, 0x619c8c3a, 0xdb1707ea, 0x02862036,
+    0xb998fdeb, 0xfda7b4be, 0x86b3c9da, 0x4c077868, 0x4e92ae85, 0x06c5a350, 0xa289e289, 0xde9bce49,
+    0x746d8adc, 0x9c3e9c24, 0xc1aca142, 0xe3656a71, 0xbe6fd4bc, 0x8bee22db, 0x06b31bef, 0x89881efc,
+    0x5155b312, 0x74991604, 0xa4ec6811, 0x7f67ff56, 0x43e57244, 0xf9c8a9b8, 0x0e7b5d39, 0x5e107d75,
+    0x317e5676, 0x64321b10, 0x4166d7b9, 0x609c7ea8, 0x5f1b25e4, 0xcc4f4400, 0xe7499190, 0x75e3e5af,
+    0x46e5674f, 0x6d6e5bba, 0x805a88e6, 0xf5e9ab7a, 0xb383d815, 0xdfaa9fa5, 0x149d04ee, 0xdd144875,
+    0x0e94c628, 0x059458f4, 0xe014ca30, 0x08a3fa33, 0x84f34893, 0xf977ae3d, 0xafe4cdae, 0xb9239a89,
+    0x6ce312d9, 0x700fb9da, 0x3e171474, 0xe26a358d, 0x20477054, 0xa5171b6e, 0xd23a4f2b, 0x5be16304,
+    0x32dfb0a9, 0x40096b9b, 0xc0103f9d, 0x9ac4bb99, 0x964c29f0, 0x1e51a38e, 0xf409bf82, 0xcd5e9997,
+    0xd6e421e9, 0x4f48cb95, 0x55b67622, 0x58de3a53, 0xc0b7a9cd, 0xc9b7a084, 0xda8a7782, 0xff9f05a8,
+    0xd74b26e0, 0xa52af9d0, 0x4acfca33, 0x6c5262a7, 0xcc8a0e1c, 0x963785b1, 0xd2f5a621, 0x2c5cc7ad,
+    0xac105e2d, 0xddc3478e, 0xfe4f54bb, 0x312ffa36, 0x7cae8e5b, 0xacc6cee1, 0x2f2ec1c5, 0x8829bb8a,
+    0xa116548d, 0xcec516f1, 0x1df26187, 0x6ba8bc9c, 0x96e74877, 0xe373d7b2, 0x8d94b1ca, 0xc89ed7ed,
+    0xc18c438a, 0xea7256d7, 0x2fab7d39, 0x7412a2f3, 0x0944509d, 0x657f28f4, 0x53366eaa, 0xa47c2f5a,
+    0x94328107, 0xe2dda368, 0xec1c35fa, 0x203f7cbe, 0x92917935, 0x4c09a93e, 0xe42b24b6, 0xd71c4164,
+    0xe33d0c25, 0xbd5e8516, 0x72319b16, 0xa2f30c45, 0xd6314998, 0x2a6cd567, 0x3c404871, 0xb82df191,
+    0x47a50414, 0x5f5d0364, 0xafedc0ea, 0x9233ec9e, 0x1139b547, 0xcbf66c57, 0xf7e799d5, 0xe93f6fa6,
+    0x01d39f7a, 0x06b3254d, 0x767a23e0, 0x636d645e, 0x396629dc, 0x3dd74a9e, 0x30c2ac3e, 0x46dba8e3,
+    0x22f73574, 0x3802db9b, 0x4418ddca, 0x15615f44, 0x8965545b, 0x78af1c6d, 0x14d802b5, 0x1eff5b18,
+    0x2162ba61, 0x33ed888c, 0xac080e31, 0x28976d68, 0xb4762cbb, 0x1c12e533, 0xa7f80c51, 0x29f8d415,
+    0x605bb97c, 0x89a7f10e, 0xb70b6d2f, 0xad43f3f4, 0xa7ae01e7, 0x628e35f0, 0x2d8f35f3, 0xde0363ad,
+    0x2ca5f379, 0x45873408, 0xb59b2f90, 0x53ae90a9, 0x1d025ecd, 0xc1cf2a4d, 0x691d2c28, 0xef798986,
+    0xa0dcb1f0, 0x0a409475, 0x78dbb4cf, 0x4e331fcc, 0x69dc87b3, 0x72e9d443, 0x3e212f44, 0xb1914e45,
+    0x76779853, 0x856e7f0a, 0x54fc2844, 0x0d88fad9, 0x0f2367e2, 0xb5e8af6e, 0x0986b071, 0x7ca26c90,
+    0x4c5ec04d, 0x7ac9d1f6, 0xc69ab7ff, 0x50f1158e, 0x2bbd2a2e, 0x661e5dc3, 0x2d3bc992, 0x648d84ca,
+    0x6f1979bd, 0xa474a061, 0x108a0520, 0x73db3ec0, 0x29e6ae98, 0xb291abd4, 0x50caf071, 0xa0c6a721,
+    0x6b792845, 0x8376d809, 0x47d6b646, 0x05330195, 0x17984dde, 0x5a9816f4, 0xaec56bed, 0x9a64d172,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000025108406941546723055343157692830665664409421777856138051584 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500e, 0x4262958a,
+    0x00000000,
+    0xae6c6d1e, 0x9e43a46d, 0xa0e42dec, 0x18c8e72b, 0xe66be99d, 0xc8acbc71, 0x8d750ad3, 0x53d3dc6c,
+    0x3a41f0c2, 0x3ed0b5b2, 0x0dcba670, 0x2f111cb4, 0x3a32a52e, 0xa6143dbe, 0x53df4f25, 0x97fe3609,
+    0x9fa36cde, 0x4d53cbca, 0xb6a52be2, 0x591c7061, 0x6d7cffe5, 0xc2a41159, 0xda0daf11, 0x058f2d59,
+    0x9048e986, 0x1623b98f, 0xefd0863a, 0x55f35fb2, 0x4ef0622e, 0x1643c6a0, 0x6855aaf8, 0xf36582db,
+    0x24fd7264, 0xf9df9117, 0xf7441214, 0x859b81b1, 0x1e51c884, 0xc1cbf535, 0x85c760e3, 0xca74ac0a,
+    0x34d90275, 0x57f2f84e, 0xb46f80af, 0xb4ee92ee, 0x40b79b62, 0x8f6a0bfa, 0x68163b18, 0x0ceff623,
+    0x3ccd768e, 0x61a92c04, 0x149a4d9e, 0xb8d3396d, 0xa446368b, 0x10e15d96, 0x01380204, 0xade612a5,
+    0xb1133158, 0xa3a5c1e2, 0x0cff4ee1, 0xba4378a2, 0x1478d305, 0xdc4a6491, 0x8ee22dc8, 0xcad9b767,
+    0x2294c683, 0x84a56a02, 0x8b51a046, 0x65cb96df, 0xb9fad5a1, 0x73bbf504, 0x7e52a00b, 0x1fbe5b56,
+    0xb2543ad9, 0x0aa10ce3, 0x4f2d735c, 0x3cd6ac13, 0xd95446c5, 0x6f465ecc, 0xcb0c064a, 0x312491cc,
+    0xda6bdab9, 0xcf9b8c54, 0x769a17e3, 0xb4d99431, 0xec196ea3, 0x7dcbe60b, 0x93584ec7, 0xc1471044,
+    0x2f03f0a0, 0xe63090d8, 0xdc91ff90, 0x61d14ca5, 0x7b263c46, 0x1687594c, 0x14e81795, 0xcc5c03e3,
+    0x4929022f, 0x9e99df53, 0x348a7df3, 0xe7f5769a, 0x76253315, 0x4e0aace3, 0xc52f9d66, 0xf580de85,
+    0x9180fa33, 0xf3afe8b7, 0x385415d7, 0x74d8c61a, 0x46298a99, 0x94a74538, 0xce489686, 0xe9999913,
+    0x7e25ad9b, 0xb279c734, 0x8b8e10cd, 0x78e6416a, 0xc9bc1f6d, 0xc53b0b05, 0xe6ed3abe, 0xb9a8763f,
+    0x4bd44aff, 0x176bb1d6, 0x25b0aa77, 0x7bf84a10, 0xabca96af, 0xd1e689d7, 0xb16e58a0, 0xf0f89964,
+    0x69f0c725, 0x05fe5db8, 0x401911f2, 0xd4486116, 0xf3c3b633, 0x4b70ce0f, 0xcd9236ae, 0xc0aa90c3,
+    0x427b8304, 0xed077bd2, 0x0ddf4ad9, 0x0da829cb, 0xcd484c33, 0x63b08dd3, 0x7091e73d, 0xe2ba086d,
+    0x142cb712, 0xc43f9363, 0x1573704e, 0x079db165, 0xa0792584, 0x3a49d168, 0x514489b3, 0x76179cc2,
+    0xba0ebf58, 0xc515aae5, 0x2b601089, 0xb91791c9, 0x415e76ff, 0x8efe0427, 0x1d98aaeb, 0x108567f4,
+    0x6fdc621e, 0x263d29eb, 0x0d4acdee, 0x10a4d479, 0xf5a9bb68, 0xbb70badd, 0xbe3e6229, 0x12f2116a,
+    0x83462dea, 0x3bbd1aff, 0x4f67c5e7, 0xb58f4ee6, 0x56965267, 0xb58a8258, 0x244e2f09, 0x023d8988,
+    0xfdf2c77f, 0x76b983a5, 0x3d66ae05, 0xba818318, 0x7bae95a2, 0x2b39230b, 0x8af8f774, 0x2fa44fb1,
+    0x1f69eb65, 0xee485d96, 0x9510f814, 0xbbef7129, 0x8429f364, 0x543e65e5, 0x59d52564, 0xf880d26b,
+    0xaa6b667c, 0x1a911fea, 0xfd16ad56, 0x7a61fefa, 0x782fd3a4, 0x324e883f, 0xa45731a1, 0xe4d1950b,
+    0x2dcdc5c4, 0x4cf47e6d, 0x5717d9c6, 0xb9e6134a, 0x01a16f9f, 0x90098ffc, 0x56140eeb, 0xf86bfa57,
+    0xe8b74c6d, 0x9b0c2b31, 0x864a44c1, 0x758ae3bc, 0xcca0add7, 0xa347e90d, 0x5b90e9e5, 0x6dea5ba2,
+    0xceecfef0, 0x9cccbd61, 0x9aca2780, 0x8e43bf2c, 0x1631d8d0, 0x87061e2b, 0x2ab53e5c, 0xce4df999,
+    0x0c631519, 0xa5dd4694, 0x883d1bc9, 0x05fb02e7, 0x64b92744, 0xb6bc12ee, 0xcfb2c675, 0xa99a4371,
+    0x0e456928, 0x46d6842f, 0xbd7168e1, 0xbc97823f, 0x80100d62, 0x2378edbe, 0xaca702df, 0xcdb5aede,
+    0xc2901d43, 0xeefa6829, 0xb269724b, 0xb9ac37dd, 0xd07d309f, 0xca5d9894, 0x33850bec, 0x37e3a9b7,
+    0xf54d780e, 0xee838dd3, 0xc6a328a2, 0x7400deda, 0x3d1a9b0a, 0xa4b95be5, 0xefe8ae01, 0x150aa029,
+    0xf6485ff8, 0x289411f7, 0x05dbba7c, 0x1e699915, 0xbb4a1690, 0x7227ecd7, 0xb7bb1cef, 0x0bee1588,
+    0x84729c5a, 0x6fb3e01d, 0xe8d35cf7, 0xe28761fe, 0x6a35eb7a, 0x58acc71d, 0x27b21425, 0x1ff04458,
+    0xb57ba74d, 0x0f2d9249, 0x9711ed00, 0xe5d3009d, 0x8acbd53e, 0xc3cceaa7, 0x3589613c, 0x45147d0c,
+    0x2a2f238b, 0xb044ebda, 0x8264e5ca, 0x76d88a01, 0x2e8b9fb5, 0x1d356b53, 0xdba2d517, 0x8b6a8361,
+    0xe21c962a, 0xd7ade16a, 0x1ef1c26c, 0xdf679be8, 0x6653856a, 0xcc7777b9, 0x48af84cf, 0xdfc3e037,
+    0xb17bfdef, 0x52bb00ca, 0xec32ec3b, 0x4caaf5cb, 0xa114901a, 0x4e55ab94, 0xb20887b9, 0x7cce28a0,
+    0x751fe1bb, 0xabf1b6e3, 0x2f081448, 0xa637d0c8, 0xfe291fc8, 0x41364ac0, 0x1c3b0edd, 0x64d07824,
+    0xc1d68ed9, 0x36507f07, 0x912024e2, 0xb24ee9ec, 0xa1d9d649, 0xdb888ab4, 0xa3c84b08, 0x243d7f2b,
+    0x01f43647, 0xb5b8a5d3, 0x70eb6fe7, 0x0267c877, 0xd679b93b, 0x3c31d742, 0x595c60e0, 0xdb639fa9,
+    0xec31c40c, 0xe944e61c, 0xabfad426, 0x342ad0da, 0x92ed5172, 0x7a424e34, 0xc858bf5f, 0xee2ae8c4,
+    0x93190d23, 0xd2c3a50e, 0x43bc9a82, 0xa3e052d7, 0x098f3974, 0x3b4c1d16, 0x6b599ef1, 0x69a6ff5a,
+    0x5384af5a, 0x15dab6aa, 0xb6a7b311, 0x9527e8c8, 0xf1d12a15, 0x1a02abf1, 0xc28a89c3, 0x8ae33ade,
+    0x69766430, 0x53a155c7, 0xeca04932, 0x4a734800, 0x1e874de5, 0xe835bf94, 0x9388a461, 0xda05ab46,
+    0x4ecb809e, 0xb378e6d6, 0x53ea78f7, 0x6ddccd73, 0xe2dc7f15, 0x40c4e322, 0x5ed1c21c, 0xcb7071e4,
+    0xa61592ba, 0xa1288898, 0xd35562c4, 0x41939a57, 0x2814507b, 0x93eee5ca, 0xbc108b9e, 0x5e021088,
+    0x7351f215, 0x4a562628, 0xe0e038ec, 0x6cea4088, 0xd2aff700, 0xc433364a, 0x596167a6, 0xbd67c6ea,
+    0xf8216dd3, 0x591f10c7, 0xafe8361d, 0x1a50d30f, 0xf9e447f7, 0x3bffef97, 0xed2ae2f8, 0x21692973,
+    0x7ab4f9c6, 0x5db74eb3, 0x0f2d1839, 0x1cdc079e, 0xc89ce616, 0x665da093, 0x968f1ea0, 0xe91ad8f2,
+    0xa6b41079, 0x6cea5621, 0x00ffd206, 0x0db6fb56, 0xc0310603, 0x54511236, 0xc47361ce, 0xea7bf375,
+    0xdfa25d65, 0xa00d7b3d, 0x16f1590e, 0x7ac9dbeb, 0x678e8aa7, 0x90552ab1, 0xf342dcaa, 0xfe912f88,
+    0x65a0be8f, 0x0ea69933, 0xd1aeee7d, 0xbf45fa8e, 0x4f9e82c5, 0x306db13f, 0x284fce59, 0x45d5f2ba,
+    0xe785d02d, 0xe3a966c6, 0xbe24e08b, 0xee12f9ba, 0x78dd7297, 0xa6490191, 0xfccbad38, 0x0b885914,
+    0xbd68faff, 0x1a16c540, 0x46b7a4f6, 0x2a8d90fc, 0x123d309e, 0x8bd410ca, 0x03598b6d, 0xf5b7e837,
+    0x61c5dc24, 0x4effc294, 0xa360d80c, 0xecbe12d1, 0x077c3272, 0x6c4e1ee1, 0x76432c68, 0xc04fea89,
+    0xe3706ea7, 0x4b1f26d0, 0x0be4b01b, 0x2b0fd5da, 0x0dc1ff19, 0xb1e31790, 0x13da8c3b, 0x2711f6e7,
+    0x45bcef6c, 0x024568bb, 0xd492ada4, 0xfeac42aa, 0xdcee7ccf, 0xb9076216, 0x8329e65b, 0xc27d3653,
+    0x4fdccf3c, 0x87b32d79, 0xd33b76df, 0x2d111ed0, 0x7ccb5ba2, 0xce1d666e, 0xfc1e8976, 0x0778b0da,
+    0x874e9b06, 0x3bc86dd7, 0xd37b0125, 0xaf522258, 0xf6fa07ba, 0x44233a32, 0x257228f5, 0x9b256e6d,
+    0x90ff7e91, 0x32dc8f73, 0x91a64adb, 0xbcf151ed, 0x9cb5c8d6, 0xe812cb4d, 0xb7756a04, 0xf986b127,
+    0x75652bbe, 0x6668d1c3, 0xfe2bf1bf, 0xe8a1b7b3, 0xea33ec87, 0x4cd6cf48, 0x287398f6, 0x5b02eb67,
+    0x3813a5ef, 0xeae38242, 0x7cd8681e, 0xe75fb8c7, 0x9705ae14, 0xefa48461, 0x97b73075, 0x3f6b2b08,
+    0x6c9b45d0, 0x3d6e534f, 0x0cb67163, 0x0c8a5435, 0x9d579723, 0x566fdb67, 0xe2e02911, 0x482d5477,
+    0xc6ab24da, 0xa7f43cce, 0xba27cee6, 0x30448b69, 0x3275a931, 0xe0d4811d, 0x24a55c1c, 0x41c81393,
+    0x6ea5f56b, 0x5ba7ac70, 0x09f56228, 0x1be7413b, 0x178ae98d, 0xfdc1a5e1, 0x691c7a8c, 0xd6d80a42,
+    0xb650c4b7, 0x42da915a, 0xe983ff78, 0x9f754ae4, 0xb05d51c7, 0xc3bd3adf, 0x2fbd0fee, 0x308a4d93,
+    0xb9530bff, 0xd089ffed, 0xb8d85883, 0x842dd887, 0x16206a40, 0x2f962991, 0xdba500f1, 0x80ba2ec0,
+    0x8e75b8a1, 0xd4351e12, 0x06dfc9b3, 0x39413eaf, 0x3995089c, 0x758e103b, 0xe3b39760, 0x49b0b967,
+    0x81f9dde2, 0x06ac511c, 0x142a7f6f, 0x2378d47d, 0xcf4b08e7, 0xac195dbd, 0xa7cf5894, 0x26419eed,
+    0x6f28dfeb, 0xf181a7d0, 0xd83152ac, 0xc1f42b72, 0xd521bc3a, 0x1cc52b05, 0x02be4f9d, 0x48eeabc8,
+    0x5fcdc4a1, 0xa3754df6, 0x946ce081, 0x13bd43ac, 0xed4cac65, 0x87854ee1, 0x5d4d0d88, 0x085973c0,
+    0x026d426b, 0x31e62e7f, 0x6f8df3a0, 0x6b841ab1, 0x79e418fa, 0x2bf191e9, 0x5a33acd0, 0x24ad7549,
+    0xead3bb74, 0x7136f479, 0xedacacbf, 0x76270e62, 0x665499ad, 0xc8181809, 0x30c1623b, 0xa67a7823,
+    0x909e0d04, 0xf4f2fb80, 0x768552cf, 0xcf3cf72d, 0x46568f19, 0x9c0e7685, 0x9f001fd9, 0x25cb1879,
+    0x90e81f69, 0x608b5c05, 0x01cda83f, 0xcff5a276, 0xcd1dd90a, 0x514685fd, 0xc159f062, 0x7439ebe4,
+    0x3dd14181, 0x368d4801, 0x6151f469, 0x470fed6f, 0x9830d055, 0xb538c370, 0x2911748d, 0xc1385f96,
+    0x5e4340e6, 0x70653f1e, 0x66abcab6, 0x134b9498, 0xbaad95b1, 0x7988a62d, 0xc6425b39, 0xdebe7f26,
+    0xc2ab0779, 0x15411cc1, 0xce760392, 0x83177e80, 0xa0e9f516, 0x59390010, 0xdca5d4e4, 0xe9ed0838,
+    0x3320f4eb, 0x9979e25b, 0xf7957615, 0xcc49ac88, 0x7acd2250, 0x60f22be9, 0x45abe58a, 0x71a61c3a,
+    0x5d10c00b, 0x5d595fef, 0xa2b0e270, 0xe760d067, 0x01557650, 0x041a8f4b, 0x86f56a46, 0x4540b7bc,
+    0x80fb66ec, 0x871f7fdd, 0xa3d46ac5, 0xaaf2ad9c, 0x9a27d5c1, 0xdf54d710, 0x4c64ce60, 0x15311737,
+    0xcac87dbf, 0x929c2917, 0x294ccbea, 0xdc4899c2, 0xb6a434b1, 0x9c31ac76, 0x04c6b0f7, 0x56635379,
+    0x7dcce210, 0x9cece09a, 0x8ad29b06, 0x7c800403, 0xedc35fe5, 0xd01b3c2d, 0x8c766c4f, 0x3edc5e4d,
+    0x46f505d1, 0xe5f96847, 0xcef2e2f2, 0xc433723e, 0xf93be70d, 0x1279eaef, 0x556285cb, 0x08ee4695,
+    0x676dd22b, 0x3e0d0d6d, 0x743ab431, 0x0058ab81, 0x6fd4a2c7, 0x136503af, 0x657d82cf, 0x825faac6,
+    0x05c822da, 0xd862848b, 0x65c06177, 0x33880844, 0x097886d7, 0x73e1a754, 0x2e3f2f58, 0x8f9fb5c4,
+    0x75e95143, 0x6c09c279, 0x18d002ec, 0x40b01f05, 0x1cf29e09, 0x5a36e981, 0x2648736b, 0xf94803cd,
+    0xa50b10c7, 0xee3bb8be, 0x56e50b9d, 0xfea1bc8d, 0xe2d47666, 0xc83354c0, 0xa2d19e7e, 0x2ba1c9c1,
+    0xe1224223, 0xa91471e0, 0x3409651e, 0x8ad1173a, 0x9afe9e9a, 0x03a6e286, 0x8a103e76, 0xa8174f83,
+    0xf56b7800, 0x69702bc6, 0xe1bec733, 0xd96c010c, 0x2cb2c7ae, 0xda8637ee, 0x63fb5b8b, 0xffd2a705,
+    0xe6b81317, 0x241b040e, 0xf788fcde, 0x961eb93d, 0x3620684b, 0x371831be, 0x6bb377e6, 0x1dfa9280,
+    0x666ae543, 0x6544809a, 0x30fecfb2, 0x935f3ec3, 0x4fed2edc, 0xd65432cd, 0x5c83d167, 0x864d2cef,
+    0xb2db7ea2, 0x284a6079, 0xe0c852b7, 0x2f3975f9, 0x54d16b9e, 0xf8cd7242, 0x2e356c9b, 0x0a02a156,
+    0xd1755e69, 0xc4aa002f, 0xc7511e9d, 0x37d070d7, 0xba749751, 0x6559b894, 0xace877eb, 0xb3b9a49a,
+    0xfeb403dd, 0x8ea23034, 0x47408089, 0xefb87c12, 0x4d65d58d, 0xdf6de87f, 0x6c85cee5, 0x2069bb32,
+    0x17bd7108, 0x0cbf97c8, 0xb314e978, 0xff3b21ad, 0x2e7545ea, 0x3e3ae816, 0x10297daf, 0x6cb01a7e,
+    0xcec58e95, 0xaef5e9ec, 0x3fcaf032, 0x841e35f0, 0xfd404cc9, 0x9fc982ae, 0x4e69151e, 0x116dfcd7,
+    0xba0ea21a, 0xf2730bc5, 0x1ff2587b, 0x7624e903, 0x221132af, 0x10f2c308, 0x9312a090, 0xd866ff5c,
+    0x5f4c2123, 0xadc3c30f, 0xc87eeae8, 0x619a46d7, 0xa79defe8, 0x523dfbaf, 0x07a9ff1c, 0x0baa3121,
+    0x5e3dffac, 0x6e0d07bd, 0x2f087e47, 0x214b6910, 0xcc12255c, 0x23e8ba51, 0x0be08872, 0x80eb2d7d,
+    0xb7696083, 0xd452aaeb, 0x5918883e, 0x3891f940, 0xb4ca0e87, 0x887f8fb7, 0x68ad2a7f, 0xddb602fb,
+    0xa8b78945, 0xaa58c8a9, 0x1c82ab32, 0xb50ca6a4, 0x47860c68, 0xda429eb2, 0xba5491c1, 0x7504081b,
+    0x599cafa0, 0x799cc8a3, 0xde4cb3a6, 0xec6fc7c5, 0x4273c11c, 0x42626b1d, 0x39a18245, 0x1c3cf50c,
+    0x559fa244, 0x6bd2bb1f, 0xd0f75066, 0x9c20fab2, 0x8e42bae9, 0x697a00dc, 0x5540ef0e, 0x8ce4c884,
+    0x71400b7e, 0x7ef47b53, 0x91639277, 0x34f1542b, 0x1a6e279a, 0x1c9e87e6, 0x84c80b20, 0x52d579b7,
+    0x4b991bfc, 0x433101e1, 0xa61d175c, 0x5471d420, 0x5f455caa, 0x0251cc43, 0xec66bcc5, 0xe2819ed3,
+    0x62140608, 0xbd7a7c95, 0xf8083cfc, 0x361b44d4, 0x54c2d9c8, 0x63c06439, 0xf7f76ca7, 0xabadde7c,
+    0xc7b86875, 0x925f4e9a, 0x00a9a9c5, 0xfc498767, 0x46abe17a, 0x6a00d607, 0x082fb03c, 0x380142d3,
+    0x74cd93d9, 0x3c9154cd, 0xeddd13fd, 0x4be1b49b, 0xb0b27a7f, 0x6f2318f9, 0xa8e4e9f6, 0x6b74c735,
+    0x8a9a6aac, 0x52b0fcab, 0x8fe0b033, 0x7e7bb81d, 0x423c34d5, 0x439e1ac8, 0x7f645e3c, 0x3bd25e45,
+    0xbffce427, 0x28f199d8, 0x39bb9eeb, 0xbe6c5c4a, 0x5a314626, 0x63f311d3, 0x3f680c66, 0xd16b0dd9,
+    0x8b301f94, 0x34217ec1, 0xb3655c62, 0x2b4158d5, 0x44af1430, 0x8aa40927, 0xe8b10c5b, 0x6a59a6b6,
+    0xc73e5e84, 0x8552cdf6, 0x06e0b719, 0xa6af8025, 0xdca960cf, 0x0ca3baf6, 0x070a64ac, 0x5b5a8df1,
+    0x054328ab, 0x9095f2f2, 0xa9e1653f, 0xc5475a30, 0xb5c5519b, 0xd86bd71a, 0x26feade7, 0xa6dfe636,
+    0x30021256, 0xb056c8d2, 0x1deca560, 0x14bceced, 0xf2ec62ca, 0x5f969d41, 0xdee2a33c, 0xb7b78a97,
+    0xf21388f6, 0x216cc963, 0xfffa7e84, 0xf7bbd3c5, 0xfac1f12d, 0x6e2d0afe, 0x6ee9e2f7, 0xc5ef27c4,
+    0x9c58422c, 0xb529683e, 0x051636a3, 0x6ab696a2, 0xc6638a9f, 0xf013fadf, 0xab730666, 0x70cd84c6,
+    0x89515732, 0x55f5289f, 0xa72d5420, 0xc0928bca, 0x76c5623d, 0x933db641, 0x2bdf48d3, 0xe35aea40,
+    0x7b8ff8c6, 0xeb5726ad, 0x8d986f54, 0x62d97c0f, 0x2e3c06ac, 0xa85adfeb, 0x7038ff6d, 0x2c9eb129,
+    0x4d734c5a, 0x8c5c11a2, 0xfba33890, 0x32b97203, 0x61928766, 0x55698219, 0xc79d8592, 0xa39a02ab,
+    0xc18abe29, 0x85554d27, 0x0d3d71cb, 0xfb090f59, 0x882e15df, 0xb0a14575, 0x2ea43846, 0xa51a5088,
+    0x6f187543, 0xe4915dc7, 0x76a0bf9e, 0xfbd66a19, 0x9d6a3642, 0xaf851b1f, 0x517f59af, 0x56e32f09,
+    0x2b43f75b, 0x5e26caca, 0xa8e968d7, 0x278d2c0e, 0x9c5aa3c0, 0xb92609fd, 0x6068a952, 0xfcd24ea4,
+    0xb151520c, 0x4c57f9e0, 0x406a834e, 0x06ff8845, 0x3a09c35a, 0xc2032cbb, 0x3d31a5b7, 0x4dd3b9e9,
+    0xa8c31223, 0xae5fad0a, 0x0deb55d9, 0xab11c298, 0x9b4ce7ba, 0x0a54c02c, 0xb422cc78, 0x7a80ba69,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000012554203470773361527671578846415332832204710888928069025792 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea807, 0x21314ac4,
+    0x00000000,
+    0xd34fab44, 0xd50cd050, 0x1dbf92dc, 0xf16539ab, 0xf973b09f, 0x12586dde, 0x498afbbf, 0x35a8e239,
+    0x621c62f8, 0x9e8e77ce, 0x7a90ce5d, 0xe60b3495, 0xc67b24c9, 0xec8f7324, 0x18cff5f4, 0xee64db08,
+    0x92e8534f, 0x0acd6d48, 0xcb24c43b, 0x8eb1723a, 0xe0eb4315, 0xdd650601, 0x6279c6a8, 0xe642670c,
+    0x94fb83cb, 0x3e56f868, 0x8244ecf1, 0x95c26847, 0xc4526584, 0x2f696185, 0xb2b7157d, 0x2e3d73c4,
+    0xcec85025, 0xd2b115a7, 0x395fdbed, 0x2f1464eb, 0x6308c9d4, 0x4f523a42, 0xddac2a43, 0xab2662ec,
+    0x0aa71c7a, 0x0a2b007d, 0x7ae41a9f, 0xdee15c4f, 0x329a0c22, 0xb175d867, 0x1437bb45, 0x52b0bd82,
+    0x61db4422, 0xfc9c855e, 0xcbb27a80, 0x9ef20095, 0xb9749537, 0x5c8c89ff, 0xe86f7868, 0x2f48bee9,
+    0xe2201f3b, 0x89c76930, 0xc7139451, 0x48ab6078, 0x46d493bf, 0x2d894fc2, 0xd22a62df, 0x505c6846,
+    0x30a6a653, 0xe8b0541b, 0xbdd450d5, 0x43e7324b, 0xb8019bbb, 0xef9cd42f, 0x5d280101, 0xfd01ca3b,
+    0x91160dfa, 0x9e41c8d4, 0xe5bb91f2, 0xdb3efef6, 0x0654ac2d, 0x8894d0d4, 0x5caff8d1, 0xad1f8166,
+    0x0e61e8ae, 0x05cd8005, 0x36a9a364, 0x67a655ad, 0x0426dd00, 0xd223f82e, 0xf131f3d9, 0x8c5bee59,
+    0x54ebe704, 0x844fa606, 0xabc2c8ad, 0x1928890a, 0xd5290b83, 0x76a1ca23, 0xb53b4d17, 0x072c4b63,
+    0x88ab510e, 0x1613c5e5, 0x7d5d4542, 0x8427f461, 0x9df58cf5, 0x5f8df622, 0x52643deb, 0xebb77608,
+    0x27a3889c, 0x2e2cb97a, 0xe0eb84aa, 0x41f03d9b, 0x997e9e8e, 0xdc176fb0, 0xde66a6f9, 0x81f8c058,
+    0x824dfe41, 0xee383793, 0x149f0b39, 0x9f7d69f3, 0x36ea3e14, 0x48d751c3, 0x0994417a, 0xd1d39cdf,
+    0x7d6071a4, 0xfa167eba, 0x4ff8f231, 0x2926da6f, 0xd26750b6, 0xbfc84611, 0x27a9a0b9, 0x50e5f3db,
+    0x1d95bcc1, 0x95392746, 0xa3c43f58, 0xa468a52f, 0x3ccc6d3d, 0x1bcb383f, 0x212b2c2f, 0x2fefbdc8,
+    0xc769587e, 0xe4b8ecc8, 0x26351ded, 0xc32043b3, 0xfc4124cf, 0xf4d09295, 0xcc267f44, 0x6bccc0e9,
+    0x583c3871, 0x256ed4f0, 0x44c12fc6, 0x69fd4380, 0x7406b3e8, 0x3caa09cc, 0xfed32816, 0x9ef06f8b,
+    0xb4853c77, 0x5c045070, 0x91175da5, 0xe573f0a0, 0x66b3fbea, 0x7d401944, 0xc7f96f91, 0x5c751694,
+    0xc797e8ad, 0xfd938950, 0x93ff381e, 0xe6e27a66, 0xa6e3259c, 0x06e7ffdd, 0x70790486, 0xf4e3fade,
+    0x8b8215f6, 0x72789843, 0xdd22b96a, 0x0d53c8c8, 0x93f9a343, 0xf02c2c55, 0x9d544796, 0xb9f00576,
+    0xd4b03b4b, 0xfedbf57d, 0x6a701a32, 0xff65cdc9, 0xc3ca6639, 0xa78540b9, 0x860a430a, 0x770b5af2,
+    0xd6fd531a, 0x556593e5, 0xd67b690b, 0xf6a8c3bf, 0x5d7e9ef8, 0xfead40e7, 0x0bad701d, 0x886365ff,
+    0xf8f88034, 0xc0ab39d2, 0x5f08830e, 0xffac612b, 0x9eaf0baf, 0x0254750f, 0x3de9410a, 0x24e42911,
+    0xa2c0e8b8, 0x6efa9a9a, 0x0a91d61f, 0x381b5b70, 0x5bfd0884, 0xf0162d4a, 0x188b72a0, 0x1c9885c5,
+    0x5b3af8ff, 0x36c284c4, 0xb8bd7ca4, 0x233d3aaa, 0xca7ba847, 0xdfff77b9, 0xf64c8f23, 0x4d9b0e00,
+    0xf3af7fbd, 0x667c4912, 0xc9b32cd7, 0x358cad2c, 0xfcc88791, 0xe36c4d48, 0xec661b88, 0xd8f88cb2,
+    0x40b8ae78, 0xad0f1c24, 0xf6cb0336, 0x0d7b4de1, 0x53bf3eaa, 0x742d18da, 0x1ec7e5f0, 0xd86efeb3,
+    0x33478b91, 0x6ad47c7c, 0x05240958, 0xd3d1aa81, 0x04df7f15, 0xfd370142, 0xcd3dfffd, 0x9187c0a5,
+    0x5addbdd5, 0xa38185f3, 0x0ff23140, 0x64c44530, 0xc3727b23, 0x9b7200c7, 0xe06033f3, 0xec1bd736,
+    0x6e301b19, 0x7f6a9a8d, 0xddc67d52, 0x2120dd14, 0x8001ce2e, 0x31731d66, 0xfe9adf26, 0xcea9ff07,
+    0x24ba2392, 0x825a2d2c, 0xbe9b2522, 0x39eeeeff, 0xbbdda65d, 0x936598e4, 0x2d81476d, 0x0814fb05,
+    0x80e5bf57, 0x97fe7bc9, 0xe3675d89, 0x5861e881, 0x14e2b073, 0xdbe61fa7, 0xec9a35f0, 0x1068705c,
+    0x49a41a0e, 0x67db8819, 0xfff0d322, 0xb6d2db34, 0xc1579ad2, 0x64e9d594, 0xa37acf91, 0xeeb4fb38,
+    0x6330b54b, 0x4c3ff6d6, 0x717750c6, 0x0736f5f4, 0x26c75d0b, 0x5dfae4ab, 0x22f3c3d6, 0xbcbc2104,
+    0x9976ea47, 0x1a78742b, 0x2538e041, 0x8b67837b, 0x1ace6f73, 0x435bdab3, 0xd2708e7c, 0xead3a2a6,
+    0x7d06628f, 0xdda03c74, 0x91a8b896, 0x3e78e5fb, 0x8330d73e, 0x600c5f5d, 0x9c5f8d7a, 0xf1e7a54d,
+    0x8739320e, 0x00575a4b, 0x6ec403f4, 0x9b8fb3d9, 0x633317b3, 0xe2e05187, 0xbf408c28, 0xa4ae645e,
+    0xe500e5c6, 0xd2e31df3, 0x2ff73d47, 0xc86c37ce, 0xaae7cf1a, 0xd7de68e4, 0x60e2d00a, 0x2809354e,
+    0x75a5111d, 0x92fb3907, 0x48c9e2b6, 0xfb59f25c, 0x6ae1c746, 0x41069d67, 0x92e5ccd7, 0xcc0178cb,
+    0x781b5d55, 0x3729ddcc, 0xd974f9cc, 0xc07e716e, 0x5541ef53, 0xaf298c17, 0xbb604d6e, 0x8931384e,
+    0x941a48cb, 0x665f4b6f, 0xa22202d6, 0xbc8d0598, 0xbf9d0328, 0xc883f974, 0x9f8ce288, 0xec6ffa61,
+    0x0fbb3194, 0x3deb6e32, 0x7e997f14, 0xce2dac7b, 0xa0f6d9be, 0x21036c02, 0x5fabec69, 0xba63e173,
+    0xc24287e4, 0x401c0d13, 0xfb09f1c8, 0x93d11542, 0x10344e65, 0x3513591a, 0x7f15a918, 0xd5013f6b,
+    0xd3bc9c96, 0xa0019559, 0xcedec04a, 0x03869f07, 0x3525945d, 0xfd3c2b93, 0x75a446b0, 0x962def1a,
+    0xa423fb85, 0x327e3f8b, 0x01fe5386, 0x4703ffe2, 0x047330b6, 0xe0e92d35, 0x384b0f67, 0x05006bcb,
+    0x53ab1449, 0xd2331b35, 0xfa5239ec, 0x1844428d, 0x49a0f812, 0xd2374051, 0xe0bbe110, 0xd24a75ab,
+    0x501e3400, 0xd4d6ea80, 0x13d2d6b3, 0xe0ea6165, 0xfa29061b, 0x624a03aa, 0xf4dbf15e, 0xc1d5639f,
+    0x139d9c3d, 0x61bf5117, 0xc0170d41, 0x7c351d7f, 0x29eef3fb, 0xbf27fd9e, 0x73318a19, 0xf21cd88d,
+    0x15584931, 0x0424320b, 0xce6f314e, 0xf43c4a00, 0x8aea6b84, 0xc5f4059a, 0x49eb27b6, 0xcbc8f989,
+    0xdb1e1c38, 0x68286e6c, 0xf8c95c2b, 0xa07e559f, 0xb325ea38, 0x7c3044be, 0x081ad51d, 0x40328b23,
+    0x48667dd6, 0x3209ff43, 0x67b8d745, 0x450fb27b, 0xca9dac44, 0x7b189401, 0xeb6b9c6c, 0x3752a822,
+    0x63bbd2d0, 0xc7e08d16, 0x3513c6c6, 0xde9ad402, 0x4cbfe9fe, 0xf561a24d, 0x9fbdab42, 0x7f979dea,
+    0x0b11cb22, 0x90ce7224, 0x04409950, 0xe75e9be9, 0x10238159, 0xedec19d3, 0x473c7a80, 0xfaaca70d,
+    0x50a640da, 0x1ed6d770, 0xef1e2d98, 0x39ea3a83, 0x07ff0b4e, 0x3170decd, 0x724e74f0, 0x2515beb6,
+    0x696905ea, 0x38d88790, 0xad749820, 0x979920d5, 0x892bb5b2, 0xdd7adbcb, 0xa42f126e, 0x10563db4,
+    0xba77f8a6, 0x91b201a1, 0x51f38764, 0x58dc8393, 0x605bf192, 0x792b4f1c, 0xa4cbb19e, 0xa86b5598,
+    0x84659abd, 0xdcf8d073, 0x10fc9294, 0x57bc28be, 0x84b8cac6, 0x6bcd3e9e, 0xbdfa9cc9, 0x93dbc4ce,
+    0x8a9db2cb, 0xb256ffca, 0x89534d6f, 0x12fda9e5, 0xcd504063, 0x0ac41667, 0x1265c2f4, 0x02e61985,
+    0xc81c63d5, 0x3c23c167, 0x64e5b691, 0x0f2e1bb9, 0xfa63e291, 0x88d4a0a1, 0x9f93e3be, 0x0e43862d,
+    0xb23b8118, 0xd543af72, 0xe00d3742, 0x57dc0be7, 0x045660a0, 0x94a9dfc8, 0x747f0cf2, 0x8ab3ee8d,
+    0x6284d071, 0x43d54419, 0x64454b89, 0x2c1ff8c7, 0xabbe9556, 0x67c0588c, 0xe58ed949, 0xff9b0aaa,
+    0x1246bcce, 0x3b8558d0, 0xb0d1a1e0, 0x75aea4d0, 0xc99dc3fb, 0x56910289, 0x21474b9b, 0x620a7a49,
+    0x99441645, 0x37e1840d, 0x7c58fee1, 0x0c6660ac, 0x304f8138, 0xf04900be, 0x3209e5b1, 0x8c140fbb,
+    0x577d8f07, 0x7af52c2d, 0x17b3d095, 0x16cafad3, 0x1a729386, 0x52a36233, 0x26be0f35, 0xe8d2ed82,
+    0xe57d5572, 0xcab69d74, 0x63f985cd, 0xc66b553f, 0xf9e30522, 0x88f2ac07, 0x539397cb, 0x1d9b48e1,
+    0x8c0703ae, 0xdbc67c33, 0x4cd9db12, 0x1105a1f0, 0x3a14b845, 0xee9c3aa3, 0xecb1377c, 0x0ad6cc93,
+    0x20e29048, 0x53f33214, 0x3c990972, 0x04d4bafc, 0xe4c88820, 0x6e58e612, 0xf51b9363, 0x0ba9e982,
+    0x53378ceb, 0x7e886e54, 0x71d7ff9e, 0xb5eb83ce, 0xc4581f38, 0xdf085fd1, 0x2304fcdc, 0x6b838a09,
+    0x9fce7b1c, 0xaec2d195, 0x14763c1d, 0x3470c595, 0x47e13eb8, 0x972edce7, 0xbf625a87, 0x64db3216,
+    0x69871c4a, 0x5bacd670, 0xcbc036d5, 0x4db25a32, 0xd4d4b6c7, 0x6a3eb360, 0x4d76b12c, 0x4e698e23,
+    0x1a56f41c, 0x33a09025, 0x00763e46, 0x073e8b3c, 0xc55d70f7, 0x9d1ee522, 0xb3d018bf, 0x034e3848,
+    0xa248bcbe, 0x2b093274, 0x12ccf653, 0x8e8da98e, 0x2e0edcb6, 0x9963f1bd, 0x020e4783, 0x8bc505c7,
+    0x841fd6ae, 0x14e99d2d, 0x30c4ce21, 0xcee60a19, 0x98c321c0, 0xb23e4972, 0x67522788, 0xd8015f23,
+    0x1de63191, 0x3a00b5a8, 0xc1c764f2, 0x93bf775b, 0x3d91dfd5, 0xf025697d, 0xa626cbaf, 0x8c6db83e,
+    0x57402938, 0x402589c1, 0x7422c6ac, 0x063fb4af, 0x5c01fa38, 0x731ded54, 0xa1cbe884, 0x6117410a,
+    0x82d0a980, 0x8463f262, 0xe9ed3274, 0xdc6f4df0, 0x170b0167, 0x10572b50, 0xa517f9eb, 0x7cbab021,
+    0x1b62ad4c, 0x3eb08a92, 0xdade87ee, 0x8640042d, 0xcc259ae4, 0x4a8d668c, 0x14537dff, 0x7654b2e0,
+    0x6adee9f5, 0xd9cac514, 0xefd26a40, 0xc69180ea, 0x8e0d42f7, 0x00e08755, 0x6d6d078a, 0xbf8b60d9,
+    0x0da1115f, 0xd1e36a66, 0xaf5697fb, 0x41b13dca, 0x4d076ec8, 0xc9f7a01c, 0x1fa2df85, 0x4e1e69a7,
+    0xcac6128c, 0xa4f27079, 0xfba1c001, 0x721abf81, 0x6a1819e0, 0x15b36ba4, 0xecd64ff8, 0x2544b3b0,
+    0x2e936adb, 0x493675f8, 0xd054a35f, 0xff98019f, 0xc51ab980, 0xd928f420, 0x14ead273, 0xa615da02,
+    0xaea05572, 0x9b1fc3ea, 0x9a47e06c, 0xad4b6e1c, 0x700d7f68, 0xbc2b610b, 0xdadcf7d2, 0x9fa30978,
+    0x0b7bda11, 0x75fc880f, 0xdca20793, 0xbbea60a9, 0x131563ff, 0x243001b9, 0x3be77265, 0xc72ce0d0,
+    0xa02b0cff, 0xf04a8981, 0x0ccda270, 0x7e2680d7, 0x6f76e8ce, 0x728fac58, 0xba6afd6d, 0x5f944ba9,
+    0x41e70326, 0xad1ccf08, 0xe3cfa774, 0x60a9c622, 0xa4bf5a44, 0x908c6116, 0x1504b26c, 0xc0676714,
+    0x54271c42, 0x36303cb0, 0xeaeb55b9, 0x3a20b490, 0xcf730605, 0x1fd83f62, 0x8b4a2a47, 0x1754bc20,
+    0x3a870158, 0xb2437b37, 0xdf1e85f3, 0xf4966ae4, 0xcfb54cb5, 0x39572652, 0x9f920872, 0x7421a5f6,
+    0x310029bf, 0x15e9f3be, 0x3fa5fd29, 0xebe55bcb, 0x9f33658a, 0x6fb8c1de, 0xe2724096, 0xd3676b56,
+    0x54442f9d, 0x2ca53c7f, 0x249de391, 0xace81c91, 0x85bb2495, 0xc5209087, 0x14d21785, 0x0ff9fa4c,
+    0x99908b85, 0x14aea758, 0x7f436104, 0xf3bb6163, 0x77ad0b3f, 0x129b9c51, 0x576fe106, 0x9da88b7c,
+    0x461c5e7c, 0x49141a12, 0x99e380d8, 0x2bf3c00a, 0x7da30be2, 0xb0ea66de, 0x9a478411, 0x33882fb0,
+    0x7e085f83, 0xd7d7fed9, 0xff493e6d, 0x660dbf72, 0xbc9eb8f2, 0xb37ce702, 0x63e4aafb, 0x54c43164,
+    0xc534c8c5, 0x4b871d14, 0x72a96413, 0x28790017, 0x85012cab, 0x23eff678, 0x3ab71693, 0xea9a1cd6,
+    0xb26ea1c6, 0x38de773a, 0x9aa90aa8, 0x1716891c, 0x9f4c4657, 0xe266d136, 0x31c7822e, 0x34736c96,
+    0xbabeb3a1, 0xaa283264, 0x518a763e, 0x9330a48e, 0x28dfb3fc, 0xcd9c9bf1, 0x602fd8aa, 0x5a849ec2,
+    0x63f172b0, 0x87cb08eb, 0xdb4bf10c, 0x93e8c9b5, 0x803f2086, 0xa1fd4273, 0x34aadc18, 0x15071601,
+    0x43444b98, 0xd7c8ddb5, 0xe1fc1373, 0x670d28a0, 0x7d43ef75, 0xd8b5f94a, 0xbef67cd8, 0x5db6dc8a,
+    0x3c2995c8, 0x36dee119, 0xe738cc24, 0x661f3720, 0x3cd4397e, 0xde3e7bd3, 0x5944ff9c, 0xea1fbff0,
+    0x8143d1e0, 0xd37923f2, 0xf9d9ff64, 0xb4612354, 0x34d1d112, 0x5d5a2616, 0x2a0b9181, 0x034aa53a,
+    0xa8cd55cb, 0x23ebd909, 0x9265962f, 0x4baf59f9, 0x1825f4fc, 0x22efd881, 0x32517542, 0x0575bd63,
+    0x77438a13, 0x7b870ed4, 0x38b926e1, 0x7f9d6f01, 0x6b60e5f3, 0x2c2bbd41, 0xd1277551, 0xf9f562f4,
+    0x88765e25, 0xf79b99dd, 0xb180a725, 0x19677fc5, 0xf9989e20, 0xe04c807e, 0xdffc2453, 0x60bafd66,
+    0xce039e0a, 0xc2439126, 0x6c17d185, 0xf7e6cefa, 0x7bd1b800, 0x0d367d10, 0xcc908476, 0xc7ad5711,
+    0xed954542, 0x21819222, 0x86e51f89, 0xc939a7e8, 0x55acc87c, 0x17ec5c0f, 0x38ceef94, 0xb78e4e4c,
+    0xc9a02d5a, 0x76b6adfa, 0xefbf242a, 0x187d5550, 0xf99d842e, 0x054b9faf, 0x2a1fa388, 0x1b21bc85,
+    0x7673fe5f, 0x44aa6e17, 0xacd5ef29, 0x857ef386, 0x7603807b, 0xca524584, 0x0e493fe2, 0x9c44c64c,
+    0x1ee3352f, 0x3e4534dd, 0x8910b3f9, 0xdc4bd9c7, 0xa1f180f9, 0xac459615, 0x21ee9517, 0xfe78faa2,
+    0xfb41cc83, 0x6301c039, 0xa4110715, 0x85f79645, 0xf303a0c6, 0xe5ed0ea9, 0xf1e8c370, 0xee40a537,
+    0xea1326bd, 0x25a09dc3, 0xc01ad4f2, 0x733241de, 0xc1c8a4be, 0x4a9d2ba4, 0x0a8fac27, 0xd4064d2d,
+    0xa7e888f9, 0x1877a074, 0xac1148fc, 0x9dd544d6, 0x5c41067c, 0x5882ac25, 0xa175a47c, 0x1353b0a5,
+    0xb2ade8be, 0x8b7e3655, 0x98c4ad82, 0xeb95dd1c, 0xb151b17a, 0xddf78751, 0x98f35112, 0x4914ed2c,
+    0xf5aff7fd, 0x8bed9d06, 0x3f01cb49, 0x65177c60, 0x7b61f963, 0xf54478f8, 0x3abf81cb, 0x005d28e9,
+    0xb75bd3c0, 0x0ecdf296, 0x1f88bc6a, 0xbffae875, 0xb0219a3e, 0x039a876b, 0xba82cfa7, 0xc0683dcf,
+    0x46632124, 0x714e3708, 0x805261d2, 0x93b0b416, 0x6ec955ed, 0xed26a794, 0xb688eb98, 0xb23b530e,
+    0xa5a2d365, 0x4697d254, 0xc615f184, 0x275cad33, 0x9ef36e14, 0x834de186, 0x19a0ecda, 0x5c5726e8,
+    0x0b9372c9, 0x55996250, 0x084cb463, 0x7bf3e2e2, 0x90dd27be, 0x86ca233f, 0x7ea8232a, 0x34b14153,
+    0x946b8ba9, 0xcb57273c, 0xfe4ec6fe, 0xd4d2e575, 0xbcf9a489, 0x97d5701d, 0x5a665a95, 0x3a89cb67,
+    0xb331db2d, 0xb3b82751, 0xc2eb9418, 0x7ed5ada1, 0xe7eb373c, 0xda9dc2bd, 0x1289a312, 0x31198963,
+    0x3df391e1, 0xac40cafc, 0x0dd312cb, 0x85585347, 0xe0936818, 0x7845df0d, 0xe7b07e59, 0x617db88f,
+    0xe0595748, 0x004d1be4, 0xc6fe15d4, 0xbeee0970, 0x81ff84dc, 0x6ea2b8e5, 0x61c00635, 0xb5869e9d,
+    0x4ff48ead, 0x67218a35, 0x9740ad79, 0x1e978247, 0x85b16b39, 0xb1410e5f, 0x42227a1f, 0xfe235b3f,
+    0x8e126444, 0xe94fe2c6, 0xa60117ff, 0xf9ab0341, 0x91ca33f1, 0x2abbedff, 0xfa5ae4a0, 0x36e33d1b,
+    0x4306cad8, 0xf8d93abc, 0x39fce85a, 0x71df2ef7, 0x0187af54, 0x0951d66a, 0x496cafd8, 0xb664fdb4,
+    0xc4f07755, 0x2e3238c4, 0x145050e2, 0x23562cab, 0xdb67abd9, 0x0d1384f2, 0x926c2b3a, 0x29c7f987,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000006277101735386680763835789423207666416102355444464034512896 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275403, 0x9098a561,
+    0x00000000,
+    0xe895b29c, 0x6038cfea, 0xda62992b, 0xebf81548, 0x6a59d66d, 0x65f177f3, 0xbbe2bef3, 0x23a18cb3,
+    0x1660a9f5, 0x0a8c48d8, 0x80648444, 0x88508bb6, 0x2539652a, 0x0d3437ab, 0x22a6f34d, 0xce9c454e,
+    0xf6cb024e, 0x895c7d09, 0x00c86cfb, 0xf7270bd8, 0x6a337e83, 0xe21a34b1, 0xfa93d5d4, 0xe402ea04,
+    0xb2047ed0, 0x4daf066f, 0x259e737e, 0x2c42e4d1, 0x6ffd0e13, 0x440eabe7, 0x7119b6a1, 0xcf00cf6c,
+    0x97ff572b, 0x5e4cd949, 0xc4ed1d33, 0x42ce11ea, 0x8547fb83, 0x4742e464, 0xec5c5b00, 0xac99e2d7,
+    0x3ea2f2ec, 0x508cf90b, 0x32c9c838, 0x65890407, 0x4f216ca6, 0xf47a96eb, 0xca792621, 0x0071ccfc,
+    0xd2bf7f58, 0x0c08fedc, 0x0f69ae9c, 0x9e7e0840, 0x786286a3, 0x94dc613c, 0x361a265f, 0xe23e6c54,
+    0x414346f3, 0x5b68e342, 0xe302aa23, 0x72ba70b3, 0x2efd2614, 0xb76c85be, 0x8e37c170, 0xa8281699,
+    0x549beb26, 0x38a3361b, 0x14e75beb, 0x8db26b9a, 0x273e5e56, 0x48244718, 0x4dc7ad2c, 0x91749455,
+    0xda80eddb, 0xfd93a68f, 0xcca80e69, 0x705c675d, 0x0abe85da, 0xe41c95c5, 0xb05e2c60, 0x42cf5fcd,
+    0xe3ba3e91, 0x83ee124a, 0x41932da7, 0x08d3056c, 0x62ecba20, 0x48994b64, 0x6282f4c5, 0x8a25bae7,
+    0x65590845, 0x8c2d3511, 0x277e35e9, 0x51920b5a, 0xa4047757, 0x97a8d131, 0xedb5fbf9, 0x8cb1b33c,
+    0x65164b84, 0x40208f05, 0xa7d31b49, 0xcd4d9b7a, 0x037ebdb9, 0x04bf697d, 0xbaa4e5e2, 0x2bf4b85f,
+    0x60b9060a, 0xc994fb29, 0xde4d8a51, 0xde405303, 0x8b240580, 0xecea5bb7, 0x81b20621, 0x8e5ae4fa,
+    0x81c7c928, 0x1a148ac0, 0x7064538a, 0x44436bd2, 0x0499753a, 0x462591dc, 0xe4099548, 0x11dc08ab,
+    0x10896af6, 0xd61593cc, 0xb3b488a5, 0x4f44968f, 0x6f8afa5e, 0x18faaa18, 0xe56509ad, 0xca5e0125,
+    0xbdf65200, 0x9736da06, 0xda4f44b3, 0x0383029a, 0x74168d09, 0xb130121d, 0x4fb5f2a9, 0xfb2065dd,
+    0xa237dbff, 0x49d4245f, 0xc899f0e6, 0xac0dcb5f, 0x06ad9634, 0x5fdd5985, 0xee67b8fc, 0x9f871bbc,
+    0xd829ae7f, 0x538e49d7, 0x0b5b576c, 0xb20a1880, 0x0c6a9f97, 0xc78dd567, 0xaa2839e6, 0x5061be4c,
+    0xdbbd6ad0, 0x2cc2affd, 0x91064f0b, 0x2e6258c7, 0xbec55c93, 0xbfe790e7, 0xdc2eace4, 0x32395049,
+    0xbdfb2623, 0x92e8f169, 0x2624304e, 0x2b0fe850, 0x1ffb02cd, 0xfe59ffe4, 0x6078d58f, 0xc878f54c,
+    0x129525ca, 0xbb9705ce, 0xf216449a, 0x9bd7bfa8, 0xeef04485, 0xb8b57b47, 0xaab6ca2f, 0x1cfbe001,
+    0x9587b629, 0x6c127859, 0xbf907463, 0x26c279da, 0xd0e7dc89, 0x5c7e57c0, 0x9d201e51, 0x0e32b72d,
+    0x0e98efde, 0x693e223a, 0x32951807, 0x740eb96d, 0x86e342dc, 0x87ec3c54, 0x9437b271, 0xa60f627a,
+    0x8ff2c471, 0x9980bdd3, 0xdeb19e2d, 0xab024261, 0x4f44814e, 0x0ffca2d1, 0x054fcaf1, 0xda88a932,
+    0xcddfffdd, 0x23b37a1c, 0xdcec757c, 0x0fc50c8a, 0xec51af42, 0x632eebe7, 0x4fd0bdb3, 0xdc5a22b5,
+    0x65af70ae, 0xbd31416d, 0x4dc21e99, 0x85a28e67, 0x674a3067, 0x280a92b7, 0x67fabcaa, 0x0f4af411,
+    0x27fbca0d, 0x41dce671, 0xf328277c, 0x6c52cfd2, 0xe4ed0f2e, 0xfa0e12ce, 0x227c52a9, 0xb1d75b76,
+    0xddde8435, 0xb2aad747, 0x30762990, 0x23f25df4, 0x8515c043, 0x1fd69845, 0xab7c87ed, 0x6e447f1f,
+    0x47d6c968, 0xc058b094, 0x00065d4e, 0x76e5284e, 0x70825f43, 0x78514a09, 0x592d4585, 0x08d6907d,
+    0x523db4ef, 0x68f3c3c2, 0x1934edb0, 0x74488b4e, 0xbf55c6cf, 0x897d9a5a, 0x8c4ba774, 0xf4891bd7,
+    0x06ddceac, 0x558868f0, 0x82dbd310, 0x0f94a491, 0x868d6346, 0x01af43e3, 0x87f560c7, 0x69080280,
+    0xbb8d1fdb, 0x2fda9fa7, 0x6ef4cb59, 0x4fa4cece, 0x3b4aa50a, 0xe7c1fa71, 0xb9f1ca27, 0x9da56fb2,
+    0xa322b63b, 0x105486c3, 0xc6522bef, 0xdec96319, 0xa95b6076, 0x5f5f0df6, 0xdf215a38, 0x61c6840d,
+    0x8dfb2a1e, 0x5b66ff6e, 0x3e88e66f, 0x216d3dd5, 0xfd29a9ff, 0x940bd936, 0x17aa22fc, 0x23632662,
+    0x5d175cf9, 0xa0422963, 0x6970a632, 0x414fc5e9, 0x39a6834a, 0xd216f238, 0xb086e2c8, 0xd9fd89d3,
+    0xc12406b3, 0x09f22188, 0xe60b5320, 0xda27afc7, 0xb2451474, 0x0b6c0ed7, 0xfebbe55b, 0x30598f52,
+    0x9446fd9e, 0x09291f92, 0xbe40c6c3, 0xda5f33a4, 0x692d31b6, 0xb861b211, 0xe176ce8c, 0x7eb773f3,
+    0x9705b802, 0x4dd495ec, 0x263c3098, 0x1d93acd2, 0x78fac89a, 0xcb477470, 0x438cb21c, 0x4aba9d62,
+    0xbbfa74cf, 0x14f4fd55, 0x686f64c5, 0x34467905, 0xa4dcd36c, 0xb08b5535, 0x630ef464, 0xa62f2af3,
+    0x21cbac28, 0x0a21f181, 0xced81717, 0x436e9067, 0xdc6c06e0, 0x190af9db, 0x4f01766e, 0xb4fa02fa,
+    0x7cfa0b91, 0xa771c99f, 0x650dc737, 0x5463e66e, 0x8972e539, 0x4deb07c5, 0x1a72ee74, 0xdc6deebf,
+    0x261bb036, 0x8fedc3ba, 0xf3da43c4, 0x38b97720, 0x08448954, 0x98be6201, 0xb8dbc82d, 0xd515205e,
+    0x48d1d669, 0x32da675c, 0xf2bdc4c0, 0x262a23a3, 0x2b0e20e2, 0x2ff2f6c2, 0x90bd66ff, 0xcd19decf,
+    0xaf316eb3, 0x7d82d123, 0x746f9876, 0x8ec593a8, 0x5686bb87, 0x0bd8e666, 0x9e4bddce, 0x5d546262,
+    0x7f83f84b, 0xe3e636ee, 0x1de198fb, 0x56888e5c, 0xd0ca78d0, 0xa6110bf7, 0xc96e1e4a, 0xff03967e,
+    0xc75911c3, 0xde351264, 0xcfc215c5, 0x12158e6b, 0x6ae61e6c, 0xb9b39a9c, 0xa8aeda8f, 0xbeb26316,
+    0x734761ae, 0xa534b5e8, 0xadedae94, 0x37dd1c52, 0x84e89d37, 0x899cf1cc, 0x4f01d226, 0x5feab73d,
+    0x200aa305, 0x817d6d6e, 0xdd32f1e3, 0xf3b921df, 0x0ae5022f, 0x8d89d86c, 0xf0b39dfe, 0xce3abfff,
+    0x652fe579, 0x5aaf6c8b, 0x530755d3, 0x0496e2e6, 0x9d25a097, 0x0ccb0e4f, 0x1f895215, 0xcaa9cf4f,
+    0xfa3d4875, 0x1829b940, 0xb8458ffc, 0x711c9bee, 0x5fc9c189, 0x9c00e3da, 0xb7fa23c4, 0xa985af2b,
+    0xc1cd4bde, 0xcb9a1d16, 0x92b2b0c5, 0x73fe019b, 0x06d34062, 0xe7c032d6, 0x809a1620, 0x452067dd,
+    0x19bd6ad8, 0x945f00f3, 0xc39b77a3, 0x5f766489, 0x6b140bf9, 0x340b9929, 0xb95f2b21, 0xb27e4aef,
+    0xe96b7570, 0x75bb1ade, 0xd63665a0, 0xeb1cbcd1, 0xdf1e319c, 0xb6fa6db0, 0x470afdb6, 0x73e4a476,
+    0x15676da6, 0xbb9834af, 0x666391a5, 0x73003ef5, 0xa2f9336e, 0x513b9eeb, 0xdc49e1b9, 0x5c87565e,
+    0x18b654f2, 0x33840954, 0xa3390f8d, 0x89cae445, 0x1c0062fe, 0xce13fe6a, 0x9257f175, 0x317285e1,
+    0x4f5ecf49, 0xbd96a812, 0x9ffe233b, 0x249d2d93, 0x17712dda, 0xf26027c1, 0x25fa2354, 0xc2274820,
+    0xbd6ab2e5, 0xd3125c70, 0x35c6a5d6, 0x78cf21cb, 0xb6f7e2b8, 0x42ae86eb, 0x3a8110a7, 0x2a238c3a,
+    0x1a1a7005, 0xb26fd98f, 0xa707181c, 0xdfa60bc7, 0xc3583977, 0x79d2bc74, 0xb993488d, 0x3bbe1237,
+    0xaea24fdb, 0x1ae96920, 0xb7baa340, 0xd72c142c, 0x81ed95be, 0xe97763a1, 0x32bd44f7, 0x63cf56d6,
+    0x5f17850e, 0x9d44db2e, 0xe255df0a, 0xc1a3c445, 0xe67a86f6, 0x2fde5942, 0xace5ffbc, 0xd5c9309a,
+    0xe3b69590, 0xbd3f717f, 0x1c278589, 0x3184273a, 0xb2535752, 0xa71f0b6e, 0xf2bc168c, 0x43056d3d,
+    0x66551775, 0xd13c480c, 0x9c1da1e9, 0x0c706791, 0xf6adcec3, 0xa2f2c868, 0xcefdf956, 0x2abc1fe8,
+    0xad822499, 0x06d3f237, 0x77b83f9c, 0xc3c5175e, 0xe94778b1, 0x2a570969, 0x9889210c, 0x5de14ff7,
+    0x53de452a, 0x67d7eb57, 0xd47648fd, 0x1a93d9a8, 0xb0f7529e, 0x766a5a91, 0x0d488ca6, 0x1fb66674,
+    0xcefd9f2c, 0xf092a643, 0xa0cdd7be, 0xb611fd85, 0x644e9d47, 0xa2965dc5, 0xd0317835, 0x32f60fdb,
+    0x2c4184a7, 0x25624e21, 0x0031f3e1, 0xf3e2f43f, 0xf004590c, 0xb39e1ed8, 0xc53691a3, 0x9fe39e4d,
+    0xc3be9ca2, 0x9632bd67, 0x2df6fc4b, 0xbb8312f1, 0xf19f5975, 0xea9486d0, 0x40bea750, 0x7a2c751b,
+    0x45adb5ab, 0xd026303d, 0xf5ff9032, 0x9e903119, 0xfa40e5e7, 0xb5ba18e3, 0xd64aba5e, 0xbaddd449,
+    0x4ea78707, 0x605dff90, 0x39cae0cb, 0x238eee46, 0x7de26d42, 0xe78dbcf4, 0xc283a304, 0x20c1d219,
+    0xd06a98b9, 0x802b61dd, 0x51d392ea, 0xfe87ee5a, 0x579ff923, 0x4475a02d, 0x419a0880, 0x8ec8784b,
+    0x75b41248, 0xec3f5608, 0xd318fd74, 0x09e143a2, 0x5ac46510, 0x181713a7, 0x6d593654, 0xb45e30a2,
+    0x492f7e10, 0x5dc13f18, 0xccec0848, 0x34647e72, 0x298093f4, 0x3d6f2f2b, 0xb318fa3d, 0x0398653c,
+    0x5ecaba33, 0x5be9df8c, 0xe123ba44, 0x5071d25a, 0xca264fd7, 0x584ec05e, 0x0645edab, 0x67a31d08,
+    0x886dc0ba, 0xf02b195d, 0x5f3d1cec, 0xb0347e1c, 0xf8db8904, 0x597445cf, 0xf0945211, 0x534956b8,
+    0xea07cbc1, 0x7bb378aa, 0x0cb2d6e6, 0x1ed85ae4, 0xfe20edc8, 0x088c9cb0, 0x929f5493, 0x0a4677b3,
+    0xb0d780f4, 0x745ab7b3, 0x4e41bc56, 0xffedb9a6, 0xbd348455, 0xa3fa92e8, 0xfaace2b8, 0x25ae01d1,
+    0xb6b2bb67, 0xeace1826, 0x91a8af6c, 0xc4ca6b83, 0x9aa0ceab, 0xe00b1965, 0x2bb26c4f, 0x557ace14,
+    0x7f0ca5f4, 0xbedc7a89, 0x50228272, 0x47be1b72, 0xaa1db7a3, 0x5513f20f, 0x72474846, 0x54f6ae2e,
+    0xd495ae2b, 0x4b49118a, 0xd381b9e3, 0xbd8eacf9, 0xb2bd16ad, 0x48ec5d9d, 0x267b4902, 0xaedadce0,
+    0xbbde9176, 0x72741158, 0xdc90610f, 0x3543cc87, 0x3153eb01, 0x871d5622, 0x7a047f41, 0xcd658ad5,
+    0xd3969ba4, 0x23eea948, 0xa489be0a, 0x74ffcc04, 0x871a0a19, 0xd4664b5e, 0xa7bb8fd9, 0x08cc1ede,
+    0x0d3a54ae, 0x24d67929, 0x49cbeb95, 0xa2bd2ab6, 0xa7b016d6, 0x66441362, 0x66552197, 0x4da389a4,
+    0xb612f9da, 0x6e4b6f2c, 0xbcfc5bf5, 0x2a0d3d1d, 0xfc74cf1a, 0xb67bd628, 0xb127dddb, 0x74b4329e,
+    0xc9cff828, 0x4b5ddf6f, 0xe93fc14e, 0x35019284, 0xa01bb323, 0xe2b4cfe5, 0x588fe108, 0xcc483d2c,
+    0xc4ac3952, 0x4ed29f27, 0x650d6826, 0xfd1f2559, 0xad6f54cb, 0xb8753f55, 0x7e83becb, 0xdf88ed17,
+    0xd53821c7, 0xa4a6bec7, 0x87f5cf86, 0xe8918247, 0x2dd15341, 0x178447a3, 0x42312c77, 0x725f0dd7,
+    0xe0b0e194, 0xe94bdd8c, 0x7b12ed03, 0xbbf09d5e, 0x13d94f8f, 0x13d7823b, 0x4afd6f8b, 0x271800ad,
+    0x24dfca30, 0xc2936d74, 0xb064b1ff, 0x7b046a7d, 0xafb2c10c, 0x7be478f1, 0xcb76fab0, 0x1cfea101,
+    0xcefcdeff, 0x2daf3ac8, 0xc28efb7d, 0xa9e78ff4, 0x3bdcd561, 0x9e31d91b, 0x578274c6, 0x58aff5ca,
+    0xef059542, 0x26e0e865, 0x11bbc83b, 0xfe5c2efd, 0xa3f5a48f, 0xf3fbdd3a, 0xf8d6ba2e, 0x312c394c,
+    0x49a119ba, 0x6a296b37, 0xcfbc5b39, 0xef2cc1ad, 0xabe986f3, 0x24b4342d, 0x27e6f770, 0xfb93448e,
+    0x05fd5a04, 0xa07b2925, 0xfc75f889, 0xefb78648, 0x6f8b80f2, 0x9489b501, 0xaecbf08c, 0x70f42658,
+    0xe0435e50, 0xfef801db, 0x07049161, 0x6b455d13, 0x98e26f37, 0x5119cfa3, 0x139c5335, 0x80971a60,
+    0xdc2e734d, 0x119ac3e6, 0x350cc648, 0x32bb3653, 0xdf1e87c9, 0x55bd2547, 0x2ed7b1de, 0x80f966cd,
+    0x3de1d330, 0x7f0555ba, 0x007720b9, 0xee8a0d2c, 0x46ba9c9b, 0xca88bb80, 0xf18beb2b, 0xe1887d4b,
+    0xe3d6a847, 0xb11a0e24, 0xb6dc8e82, 0x67ba6d82, 0xb4bfaccd, 0xa0202e44, 0xd28c4689, 0x67f074d5,
+    0xde13dc07, 0xe9bef8ea, 0x874f6d9a, 0xb435e898, 0xc35a0a62, 0x29cda47a, 0xb8a8a0da, 0x6b145509,
+    0xc7ebe9d9, 0x1e9c5934, 0xfc0dffb4, 0x6aad2ea6, 0x002a4e57, 0xcf5cced5, 0x79e4eb6c, 0xa145b308,
+    0xcf26ce6d, 0xae8f22d7, 0xde47569d, 0x54a8dcbe, 0xb21c7ba5, 0x6361d8a0, 0x4344dec7, 0x81e00338,
+    0xedd543d1, 0xa93d0dee, 0x7845d5d7, 0x7b206dde, 0x9630066c, 0x4437d765, 0x333ffb67, 0xd22480cb,
+    0x1844594b, 0x7521a547, 0x899b7bad, 0xb1b4a8d8, 0x1a4a7d93, 0xc53b5a7c, 0xde4d28b6, 0xc2513d29,
+    0xb1b75062, 0x05664bf9, 0x3b09d255, 0x4f055049, 0xc136eed3, 0xfd9e33d6, 0x752cea75, 0x08485dc5,
+    0xd20533d4, 0xe290ac1a, 0x34aceb95, 0x73106378, 0x8c501a5d, 0xf5dd56be, 0x0ab060b9, 0x26baeaee,
+    0xb1c77fc8, 0x9f5f8d9c, 0x4750bc49, 0xe66f934a, 0x8c09c2d9, 0xfb6d0b89, 0x6c9f7641, 0xa9d12e45,
+    0xd30a7c90, 0x2a718b61, 0x632ebbf2, 0x91105a0e, 0xd6faf558, 0x75441b2d, 0xc8422037, 0x4f57afb5,
+    0x217c172e, 0x170f0d24, 0x8674eca3, 0x27af21b3, 0x964bba99, 0xb7e02491, 0xe23eeed0, 0xe6dd47e4,
+    0x5d0191a6, 0x0e8a1b36, 0x3be39656, 0xec315cc6, 0xd82c1a21, 0x74bf7ecc, 0x4d4d4e21, 0x4a14d9db,
+    0x39d42bd5, 0x2af8daaa, 0xeb41ed57, 0xe509f916, 0xcf1aed8b, 0x362b034f, 0x4352e425, 0xae32f0e7,
+    0x2375e80f, 0xe623f0cf, 0xe1ee3571, 0x9a0ef724, 0xa73aa5e3, 0xdf207dc3, 0x1bcfdb06, 0x5902239c,
+    0x9e8441f0, 0x40cf806d, 0x6ce8909a, 0x567a8a22, 0x50c7b63d, 0x540de06a, 0x4f510681, 0xbb035c9e,
+    0x1df9a11d, 0xb367bc03, 0x7569d606, 0x53ce2d43, 0x34c32a5a, 0x6de234b6, 0x739b9476, 0x7417cc10,
+    0xb1b0f7ba, 0x49ee0a1d, 0xe48c68c1, 0x8a60ceb9, 0x126373b6, 0x10664597, 0x79d35270, 0xb4674f68,
+    0xcc1a36cd, 0x522ee8b6, 0xdbb99641, 0x3d5469ce, 0xf74ea6d2, 0x0bbb9724, 0x43cce57d, 0xde917511,
+    0xe67e7fa7, 0x83b0585c, 0xe942be15, 0x1fa76f69, 0xcada681e, 0x355374bb, 0x57324a4c, 0xcab84d35,
+    0x953b30dd, 0x533dc80e, 0x8996cf48, 0x3f96566c, 0x685aa6c2, 0x62e81a1b, 0x54256586, 0x3f8891f1,
+    0xefdc5a19, 0x1f90f0f9, 0xf56dfbfa, 0xc672f7e5, 0xaccc8a06, 0x8b5cfdf1, 0x7da7bf2e, 0x8b2b84bc,
+    0xac0c52ce, 0x9eead06a, 0xb223c6f7, 0x05f7fc72, 0x89500a3e, 0xcf793dba, 0xa92d91fd, 0x579160cb,
+    0xb39f6e80, 0x710d2181, 0x33a14d48, 0xa246c61b, 0x80c71218, 0x7abbbf74, 0x9ccf72de, 0xe8f531cc,
+    0x8afce28c, 0xeea56656, 0xd87101df, 0x591b9c22, 0xe43c06cb, 0x9127c30e, 0x6ebd6c85, 0x02d5f74e,
+    0xed867021, 0x4853e8f8, 0xa2ae2644, 0x2e282a8a, 0x0fb97155, 0xc7f34318, 0xde7b1940, 0x2a97f9d3,
+    0x2ee8cd1c, 0xd3a53100, 0x8dd4366d, 0x1667b87d, 0xb13886ad, 0xb211cfc5, 0x7787d16a, 0xb264dd91,
+    0x7256baf8, 0x41f466d2, 0x8eb6e271, 0x94f479db, 0x23fdd108, 0xc38eef60, 0x98e70bea, 0x2c3507af,
+    0xaa01a786, 0xffe0cf14, 0xd8e851dc, 0xfff1a0f2, 0xee32260d, 0x20a7e3bb, 0x4079524f, 0x855bde50,
+    0xdad3e19d, 0xeee7e3e0, 0x39c7e0e6, 0x1b3ee307, 0x9a5b4075, 0xfce0089e, 0x859409d6, 0x07b7784f,
+    0xe0e62445, 0x2a40f425, 0x197788aa, 0xccc87906, 0x7fa1ade6, 0x1f5c47f6, 0x16846cd4, 0x6f520c3f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000003138550867693340381917894711603833208051177722232017256448 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa01, 0xc84c52b0,
+    0x00000000,
+    0xac8ad4d9, 0x5100511a, 0x13c8fe34, 0xbae65bc1, 0xb8ccaf39, 0x694cf334, 0x8974bc27, 0x67dc69cc,
+    0x2e85e4f4, 0xb761ac25, 0x09bda3c7, 0x81fc3c51, 0x23717d65, 0xe0e0949c, 0x20363029, 0x1f8f0eb7,
+    0x88aefa6c, 0x5c49ce2a, 0x4e3552ba, 0x68f59c9e, 0xc9394f88, 0x687572d5, 0x4a5eb258, 0xd219f6ee,
+    0xcf99d664, 0x14e14926, 0xcb0431d3, 0x71839a7e, 0x23f792f2, 0xc134eadb, 0x64a69a74, 0x0ae7a27c,
+    0x6aedfb04, 0xdb02f103, 0xd2047a24, 0xa3511a05, 0x88e15b68, 0x3750be49, 0x3bac3c21, 0xbde9b329,
+    0xfd720318, 0x5b570006, 0x387e2950, 0x7a2cb3f8, 0x99396f04, 0xabf92c30, 0x25acfca6, 0xfd7567c5,
+    0xf5b5a11e, 0x3412ac9e, 0x52f58758, 0x0eed69da, 0xa2c29ea0, 0x21d13f0d, 0xae8cac32, 0x79d41c59,
+    0xaa9aa3f3, 0x36c8badb, 0xb0e7ed7d, 0x1632c5b2, 0xbd341f73, 0x6898bb59, 0x0a2fe85a, 0x117d8d36,
+    0x527d91e8, 0xd046fb9b, 0x22adda81, 0x469cec41, 0x6c5b472a, 0x36942fce, 0x6c85efd0, 0xe1c5113a,
+    0x25b01e56, 0xfb6febb8, 0x878ef8f6, 0x58e05bd3, 0x66d4a560, 0x2861dcb7, 0xb6ae7b45, 0xb16f0f63,
+    0x0d5a5914, 0xd27358c7, 0x5b6c0335, 0xc5923e7c, 0x742297de, 0x92077795, 0x806f1c93, 0xb328cca0,
+    0x37c4611e, 0x01d87c74, 0xf205ae6b, 0xecf3c136, 0xea6960fc, 0x1e414fa0, 0xc2b6add8, 0xa5dac348,
+    0x2c28136d, 0xe82a921c, 0x83335ad4, 0xf9bece5f, 0xf8fe8894, 0x3213efec, 0xe7f90acf, 0xb7769483,
+    0x39313d2e, 0xd4258890, 0x86b85807, 0x6c46497b, 0x24625e2d, 0x4cddc371, 0xc38ea240, 0xeab2ffe3,
+    0xb7c10309, 0xf952ad65, 0x1f600eee, 0x8de83c7e, 0x85df6fe8, 0x67d9e0a3, 0xe2cc8844, 0xc361c8f1,
+    0x13118a34, 0xc48881af, 0x14c64fcc, 0x84e3659a, 0x9e2ff46a, 0x5783a4e4, 0x1a498827, 0x9687fdc8,
+    0xf5598f23, 0x26cd6668, 0x81d19190, 0xadcd1dae, 0xe7425b6a, 0xaa7eff8e, 0xbad42404, 0xd6f160d9,
+    0x9a7dbd59, 0x93a603c0, 0xc521422e, 0xa0c4ef3a, 0x2e090800, 0x40aa840d, 0xbb1cf5b0, 0x29ca38af,
+    0xabb300a1, 0x9dc292c1, 0xdcbb0425, 0x0b76b079, 0x0705d9cd, 0x11b973d0, 0x9eadb824, 0x37e3d975,
+    0x725c590b, 0x13c29b42, 0xce59b622, 0xe1be5bbf, 0x14a07d36, 0x6cc73c26, 0x21a15ce9, 0x4cdb90d2,
+    0x4685388e, 0x8be8912e, 0xd435959c, 0x5a521a05, 0xd48c5442, 0x0b40c18d, 0x91573f25, 0x004b782a,
+    0x6326b881, 0xa2b4601c, 0x89ff9b4e, 0x36237c23, 0x8bbad83d, 0x28c6f043, 0xcd225f52, 0x592286df,
+    0xdda7f179, 0xa027e7c0, 0x1fc89f3b, 0x72ac83c7, 0x46c3bdf1, 0x31aa1cc4, 0x8658ed28, 0xbc068657,
+    0x786ad5c5, 0xe9831e4e, 0x9ac8d5b6, 0x3f683279, 0x2edcbdc2, 0xac798a79, 0xaaa06ffe, 0x2c1ffd78,
+    0xffdc0584, 0x70a95b03, 0x6368ee7d, 0x39888531, 0xcff72296, 0x0c060af2, 0x4280b48b, 0xf7b50d85,
+    0xa7925e5e, 0x54f3928c, 0x0096d7a2, 0x04c81df5, 0x6a9c5ea1, 0x5e69d638, 0x18880aaf, 0xf599c69a,
+    0xe1b27ba0, 0xe2a71c5f, 0x44f4854e, 0x913d08fc, 0x79a25db9, 0xc029d0ff, 0x00a7c705, 0x9fc4c582,
+    0x1cfb3595, 0x4a9c64ae, 0x4d20eb06, 0x115c0bb8, 0x6ffdc501, 0xb70589bd, 0xd8e3e40d, 0x85ab61b0,
+    0xf1ea1e46, 0x99f34a5b, 0xc81e303e, 0x468599af, 0xac5f270c, 0xb1540218, 0x7fa29b29, 0x9e79326e,
+    0x54d2d7fe, 0xa7100e02, 0x75de4aa4, 0x4afea32d, 0xa0e0fcf3, 0x4fd0c69f, 0x7eec8ff8, 0x97e2af31,
+    0xf6fb4128, 0xe428fa31, 0x972446bd, 0x4fd7f53a, 0x0163dca1, 0xc790239b, 0x70c15537, 0xc707b1e1,
+    0xb9e36e3c, 0xaf3809ba, 0x006e7e07, 0x66d2da66, 0xbc244670, 0x29dcc0ee, 0x93c3121e, 0xfbf4c628,
+    0x318bcfe8, 0xa5ccb129, 0x997d0730, 0x03d92f63, 0xc9dcbca9, 0xeb5ab8cd, 0x7682656f, 0x382f986a,
+    0xb2ed51ee, 0x40e979ec, 0x82f15df9, 0x73af27a6, 0x55145b13, 0x08985b29, 0x6024dfa8, 0xd948dcc5,
+    0x20d2533e, 0xf5833003, 0xfacf2b60, 0x4e9bf811, 0x5182edcf, 0xdc2067d4, 0x946c1f77, 0xacb964b8,
+    0x23b743c1, 0x55603b19, 0x3eef17f3, 0x34755fc2, 0x88c75554, 0x2f7f76b7, 0x0541193a, 0x1c74650b,
+    0xaecdadef, 0xd15150f0, 0x4d364c69, 0x953219dd, 0x36d2c372, 0x627232e8, 0xc856d60a, 0xbff605c7,
+    0xa91ab241, 0x6df20860, 0xab706c03, 0x2d3b87b5, 0xe9876e88, 0x919fc825, 0xd5958344, 0x008d6449,
+    0x28e62ab8, 0xb5927f1f, 0xe85b617e, 0x9cd2a46d, 0xeea823ae, 0x9080cabd, 0x834dfe7a, 0x9ca14362,
+    0x12c41788, 0x9fe79cf0, 0x50744a78, 0x05908aff, 0xa0023aab, 0xfa4cc332, 0x8c81ce17, 0xb5bf53f6,
+    0x3179432c, 0x2578dc39, 0x7d5430f6, 0xa2d1c754, 0x8ce95448, 0x24edf9e2, 0x1b9ca542, 0xe6fc9a9e,
+    0xb129360e, 0x2e424630, 0x08c6c913, 0x5146ea19, 0x4909fe8c, 0x999bd298, 0x029ba4b0, 0xac7f6815,
+    0x76671759, 0xca724c39, 0x793ddc20, 0xb73b90ad, 0x599a184b, 0x9539db35, 0x2e605687, 0xfeb7e374,
+    0x0b0699aa, 0x6e4fb77c, 0xa964bd81, 0x9518a33c, 0xfdcf4f18, 0x7b249fd2, 0x3dbc7f63, 0x0925616e,
+    0xbdba8cdc, 0x3ab2fb82, 0x945652f0, 0xc9a20865, 0x6c823543, 0xf1a3126b, 0x82a24689, 0x945d3920,
+    0x3f6d16b5, 0x61b3886d, 0xa401ceab, 0xac8f6b24, 0xa37b10cd, 0x813be359, 0x714697d7, 0x7c51259c,
+    0xaea8ec81, 0x401e5b9a, 0xb6f54ec1, 0x0663a70b, 0x1d58e7be, 0x3dd83fd4, 0x2786c667, 0xf61e72ca,
+    0xc7abc5c9, 0xff8b6a5b, 0xf5e906c7, 0xed9b5d85, 0x91d2f2e9, 0x04232d46, 0x8729ea46, 0x8c864b24,
+    0xdf4c2c70, 0x39943228, 0x2ffad72a, 0xadbb1965, 0x9c1b7079, 0x59636381, 0x5beaadba, 0x126ee50f,
+    0xeed049b2, 0x5ae0c2a7, 0x04bf62e9, 0x775a3b02, 0xeaf7b05e, 0xf5b04821, 0xc99ec49a, 0x1201f87c,
+    0x8873a511, 0x6d300f0d, 0x2d8bd03b, 0xb405c8fe, 0x800dc5c0, 0x1d46baaa, 0x1bbffd8d, 0x7bfe907c,
+    0x2a95241b, 0x26b8e7fb, 0x0782447f, 0x8c31fb93, 0x3d6bb606, 0x1d549216, 0xf20aa055, 0x3dd5daf8,
+    0x5c69751e, 0x2beb607b, 0x3a3506dd, 0xbe276618, 0x2823091b, 0xa93ac5a7, 0xc2f96fc4, 0x063284bb,
+    0x3635f587, 0x7d4616da, 0xbe0fa66e, 0x885e99fc, 0x1a180c7c, 0x6c5f9dc0, 0x14f0eb8a, 0xaa4524c1,
+    0xe406e9bd, 0xaae8d3f3, 0x314114d1, 0x35f9aa21, 0x94a2e46f, 0x11915f81, 0x80c95957, 0xf5e7bd8a,
+    0x36623c87, 0x7ba3576b, 0xfae5981b, 0x2a98a928, 0x0bb79859, 0x23ee8667, 0xd62044f5, 0x6ad9e0ff,
+    0x8a41b0c3, 0xf16b9b7d, 0xe1253f2d, 0x3e6ae959, 0x341d3554, 0x60a13f01, 0x106db43d, 0x9dad372a,
+    0x47687474, 0x6c2c4194, 0xdb5c923b, 0x7a5cd71e, 0x69f6e4df, 0x0ddb3705, 0x098a664b, 0xdc4afe83,
+    0xf92bba7d, 0xbfde5da7, 0xeb27ca8d, 0xb640e4d3, 0x9a000534, 0x8d9921e7, 0xa27c43fc, 0xaa55be5b,
+    0xe60f4022, 0x29b0c13b, 0x06b0b80b, 0x7d49526c, 0xc96cb74b, 0x440acdda, 0x081e6d25, 0x548ee17f,
+    0x118940e5, 0x25c0b399, 0x25119f3a, 0xe7faf6d4, 0xd4ad944a, 0x8a4bfe33, 0x5d13d479, 0xb2d064df,
+    0x61adddf0, 0x66daafa9, 0x1f6461db, 0x685a0920, 0x587e98ff, 0xae462cf2, 0xe9feec37, 0x5c29718b,
+    0x3d76636f, 0xe5877a13, 0x14af00b6, 0x5b93fd8a, 0xfaefff76, 0xd6897985, 0x6eed4a17, 0xc4345fa7,
+    0xea2cb236, 0x1aef2408, 0xf10eb434, 0xbc628ec1, 0xb7c54a87, 0xed87b728, 0x6bbc5232, 0x2e0b8a32,
+    0x36d7b7f6, 0xffbe5de0, 0xd627907e, 0x0091b4d6, 0xc6102453, 0xba672ff1, 0xaa20d8a8, 0xcdcfa8f2,
+    0x14da8239, 0xbaafcd5c, 0x31054ccf, 0xc8c7933c, 0xb12aa3fb, 0xe3580dee, 0x1cd253d8, 0xdd7960b9,
+    0x520c324c, 0xbdd344b4, 0x513e8df0, 0x0c8f64be, 0xe833d84f, 0x2387ef71, 0xf4ee7ff4, 0x30852ff9,
+    0x06548acd, 0xb9e8def0, 0xda079add, 0x814c38a2, 0xc2354c89, 0xb065f22a, 0xa6ac1b0a, 0xf4e45384,
+    0xd3f63b89, 0x7dbb93ad, 0x95d32d65, 0xe4fb693e, 0x092c4994, 0x42233096, 0xff9f93d2, 0x0c3dd5d3,
+    0x19d89e1d, 0x51593860, 0x329aa8be, 0x6ad9accc, 0x68355a46, 0x5e43745d, 0x875b2e81, 0x770af9ca,
+    0x8f6b7c7c, 0x883ea7aa, 0xfdd621f8, 0xa532ba39, 0xf76e3c51, 0x30d2145a, 0x2c98ad43, 0x77afde52,
+    0x3562f8ef, 0xe42b00fa, 0x3db8eb03, 0xfdd0d7d3, 0x5d4fb0f1, 0x3f60b342, 0x76f0bea0, 0x12c70e9b,
+    0x3a5a1515, 0xbd501462, 0x69aab1b3, 0xdf7e915a, 0x1a23144d, 0x028ee249, 0x4823aeb8, 0x96187356,
+    0xda3bdec3, 0x4c869cb5, 0xa62b44e8, 0x808df18b, 0x1310b2dc, 0x55a1f72a, 0x890f44c2, 0xff548813,
+    0x0e23092f, 0x875ca003, 0x258fda7c, 0xb6907ad7, 0x783b5e42, 0xfd78145a, 0x48ac64e8, 0x5753d12c,
+    0x1a2f5be5, 0xa57229bb, 0xc7063224, 0xc9df4aa8, 0x3f140591, 0x7a105eae, 0xabf7a6e0, 0xe772a671,
+    0x4e799807, 0x4043747b, 0x18f37634, 0xd1308008, 0xedf1a31a, 0x6a9a9fcf, 0x282c5a27, 0x61472ca0,
+    0xb73f3bf6, 0x6c67fbda, 0x4431b2a2, 0xf40baeeb, 0xdb1dd706, 0xc01d9076, 0x8961b850, 0xc344a281,
+    0xa33465be, 0x7074934f, 0x20d37b12, 0x1bcac387, 0x74b0ce9c, 0x2b518f44, 0x69bfe152, 0x17826d7b,
+    0x7a07f2ed, 0x942eca04, 0x171cc773, 0x8f03e1f9, 0x814b9d1a, 0x49e78080, 0xe5027dd8, 0xc137479a,
+    0xadfd5bab, 0xbdd46932, 0xa409f8ee, 0x59e42612, 0x539fb967, 0x97020465, 0xe5d97f2f, 0x36686bc0,
+    0xada9ff18, 0xb37173fe, 0x74e169d5, 0x68d070ae, 0x18da4cb4, 0xf33da724, 0x5eecad32, 0xca1f62a1,
+    0xc0ea2274, 0x5dd02246, 0x2d382167, 0x76e8d7cf, 0x5b85d00e, 0xd279b52e, 0x3bc74722, 0x92f93aff,
+    0x666a9845, 0x175f8e4a, 0xdb20f694, 0xcd139961, 0x684a4d70, 0x1b114b4b, 0x641fe3bb, 0x05e21d37,
+    0x4059d92e, 0xa4444f4e, 0xc418c6e0, 0x4e793b75, 0x7f8d400e, 0x2437ccd6, 0xa0bb6eef, 0x04798383,
+    0x65de9e6e, 0xe8048272, 0x2123a631, 0xb6090edc, 0x7c585618, 0x6073f44e, 0x53e84d70, 0xebf81c6c,
+    0x4014d5e7, 0x29730b14, 0x77e6864c, 0xffc5ed36, 0x0f973df9, 0xbc777ac7, 0x89dbfa19, 0x9c453246,
+    0xfe5a87a1, 0x4c6d99b7, 0xbdabaa8f, 0x820636fb, 0xaf160217, 0x06fdcf00, 0xe362586b, 0xb4a9fa75,
+    0xc5a7b2d3, 0xb23a89ba, 0x683b11c7, 0x153dd5fc, 0xc1e07b4b, 0xd411a3fc, 0xb55d1369, 0x33d5e15b,
+    0x8521898f, 0x6158331d, 0xa511fcd9, 0x393a997b, 0x4ede42fe, 0x07c11e0d, 0xa922e42f, 0x4fe89901,
+    0x2d280103, 0x7bd1a2e4, 0xdd269dbe, 0xf500a560, 0x81627f48, 0x91c0f366, 0xdd23e8df, 0xa64273c1,
+    0xef336170, 0x02080502, 0x7bec7ab6, 0x7d19029b, 0xfc3bb2dd, 0x791ae772, 0x88da660b, 0xc5c01948,
+    0xc9777000, 0xe2839a66, 0x3c683630, 0xedfa1a08, 0x4223bd55, 0xbe345d09, 0xe3d0a805, 0xfe989706,
+    0xd8eaee8c, 0x83dba131, 0xbec51458, 0xb89bdd82, 0x466c4b61, 0x67392a10, 0x916eb955, 0x21a1ec1a,
+    0x89dd2cee, 0x1027732d, 0x04ffae72, 0x20f8dc17, 0xbd139c7a, 0xb6e1aef4, 0xffb6ebec, 0x1b0a66e0,
+    0xb45ebe9c, 0x11ce98f7, 0xb3548d63, 0xc77c964f, 0x0425191f, 0xca355d25, 0xa8a831b8, 0x6bb05279,
+    0x8d1ddce9, 0x23a19ff4, 0x4baaadf9, 0xf0496b72, 0x3b3c306a, 0x4f82dac1, 0x1124fcee, 0x74963c68,
+    0xac2f5d82, 0x99ee05a1, 0x08af04c6, 0xdc61903a, 0xe34a07c0, 0xb86377ac, 0xf3dd92e3, 0xa563f2df,
+    0x1d90537a, 0x869aaa09, 0x83914606, 0xcf529c88, 0xff6f24a1, 0x532b8195, 0xa5d04280, 0x45ecf5ac,
+    0xaebcc678, 0xfa336545, 0x566e471e, 0xdcfece88, 0x8a349ee0, 0x2479577c, 0x558e57d2, 0x236504e2,
+    0xd8a8196f, 0xb3c41de0, 0xde7b9988, 0xa329d3f1, 0x6adeb14d, 0xa682f005, 0x7300b9cd, 0xabaedad2,
+    0x9482ce75, 0x464079b0, 0xdb8b866a, 0x6ecbea8b, 0xdc777a8d, 0x81399cb0, 0x4a918ab1, 0xd18646b4,
+    0x43d880ed, 0xb0808bae, 0x3e8cb968, 0xed32beb6, 0x1a65ce88, 0x82903e85, 0x25bfca79, 0xaa1c8910,
+    0x252383d9, 0x2679a1b6, 0x89adefb9, 0x8d62128b, 0xd45a6a57, 0x9a06e3f1, 0x2b60c112, 0xd167d73f,
+    0x00edd6be, 0xb22c93ac, 0xcb4a5a25, 0x5ef3225b, 0x578cae47, 0xbe26c770, 0x8ec9fef4, 0x415f156d,
+    0x029ab3bd, 0x4ec60e73, 0x5e5bfe85, 0x00703031, 0xad1cee09, 0xac23aca5, 0xe8754da8, 0x5340a99f,
+    0x4f0dd6e2, 0xb2d29ad6, 0x2a8f545d, 0xc151bbca, 0x96ef84f9, 0x92a63cbc, 0xf06fd5a7, 0x7639a457,
+    0x025a723e, 0x3f15e019, 0x9d0659fa, 0x697fabd8, 0xebf025f2, 0x987ecb74, 0x2444c9b4, 0xbdc50454,
+    0xa818ff19, 0x689942d3, 0xbec7c6a8, 0xafec8e7d, 0x9db4bdd8, 0xa2712234, 0xe0261aa2, 0x94eced6b,
+    0xdf1cce6d, 0x01ee541e, 0x8170e881, 0x3141a29b, 0x8bfb2d79, 0x5ab442c0, 0xe05dcae1, 0x8dd2e05f,
+    0x3a158c36, 0xe740a175, 0x3c51c89f, 0x5eec44be, 0xa25f9aa5, 0x160ed5c4, 0x20b93853, 0x8988ae30,
+    0x88a5264f, 0xd4f7abd5, 0x4786bddb, 0x3c831a65, 0x625b72e3, 0x5649571d, 0x52403b17, 0xdff1c5ca,
+    0x8f0535d1, 0x0177d53a, 0x0286ac1b, 0x22bb62df, 0xaa1bd9db, 0xf1ca1210, 0x0255f253, 0x041e04b8,
+    0x66ad41b9, 0x380faef0, 0xebdf12d0, 0x31b6c844, 0x476c9225, 0x8026e71c, 0x3657bae4, 0xb4145365,
+    0x3e29a0be, 0x9171867c, 0x87318893, 0xecfd0403, 0x0266617e, 0x2237215b, 0x7ebc1329, 0x578c3817,
+    0xc0b439f0, 0x2f61f5bf, 0xadae3735, 0x7cfb5eb0, 0x511c0969, 0x1b114819, 0xbc533640, 0x1c7ba340,
+    0xaf70babd, 0xd2f17738, 0x631de275, 0x6c2f8467, 0x3345839d, 0xa57b5ba2, 0xe53e0e7a, 0x54d534dd,
+    0x95b56591, 0x108aaadd, 0x72a9d423, 0x3359bb68, 0x3b8d0613, 0xb3ca9f32, 0x70032d51, 0x780f8dc0,
+    0xc3cbe60d, 0x5c0043c5, 0x97e3ab7e, 0x36586c89, 0xfa233077, 0x2e362498, 0x9a4f9883, 0xf408e17e,
+    0x04f1eb09, 0x1b3cfb95, 0x1f7e509f, 0x76fd79ff, 0xcdc4f5c8, 0x5d8304fe, 0x2adb6ba4, 0x19501118,
+    0x8708c778, 0xd3546249, 0x8a95a1a3, 0x624d14f2, 0x711e7f93, 0xc7e4cb00, 0xed9656b7, 0x090c1222,
+    0x34bdb801, 0xb867f9a7, 0x9802949f, 0xce39c695, 0x0d49845c, 0x3c707da7, 0x17c27cfc, 0xfd513f9b,
+    0x9cd65cf0, 0x0bca5644, 0xe6046934, 0xa7c40db1, 0x69b11563, 0x85d0ec1d, 0x81ee08ff, 0x1c704d9b,
+    0xd1edb753, 0xf160f820, 0xbe62f0a7, 0x3e1843ec, 0xc55ca1b6, 0x1a428586, 0x944d4b7f, 0xb4453e3a,
+    0x0b0d0ccb, 0xe62f204c, 0x9ab9b4b4, 0x4cbb46c5, 0xe72602fd, 0xb4f66f71, 0xb1fa9314, 0x6f1699eb,
+    0x4479e10d, 0xc16bb424, 0xdb1a262a, 0xc9d48bf1, 0x979d8a0e, 0x7c8bab5d, 0x8f390611, 0x736420ed,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000001569275433846670190958947355801916604025588861116008628224 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d500, 0xe4262957,
+    0x00000000,
+    0xd22b27f7, 0xfe723023, 0x6db1c6d9, 0x86097bbe, 0x2ef0de28, 0xf3e421e3, 0x08c50b87, 0x86dadd41,
+    0x5b5bf087, 0x0bc2f803, 0xc7248a74, 0xb789900c, 0x6b28683c, 0x8f66d83e, 0x21c5f847, 0x3458f7a8,
+    0x2a01d0a5, 0xcd796346, 0xa93728a2, 0xa4c9b007, 0xf020095f, 0x56346536, 0x8568b263, 0x7ee2564e,
+    0x7d5f440a, 0x771f1760, 0xbfa43c81, 0xd224d4e1, 0x05b5eb9c, 0x802429c8, 0x3fe76c4b, 0xc5477566,
+    0xa9d4f4a7, 0x34b47c98, 0x14e47389, 0x88bbe14d, 0xa35ae05a, 0x111c3760, 0x5ff86b85, 0xaa67994e,
+    0x8cf3b268, 0x1c8f931b, 0x63d62d0e, 0xe0e86848, 0xdb0176ed, 0x2be96b16, 0x310e106c, 0xc6db291f,
+    0xacfe006e, 0x6ff7170d, 0x03c8da04, 0x6466d698, 0x178d8df5, 0x74993057, 0xe5066b63, 0x1fb06dcb,
+    0xb4e073dd, 0x54e3415c, 0x35649905, 0x1283087b, 0x6bc7966b, 0xfe4bcaa6, 0x8178bd55, 0x89350550,
+    0xee8eb923, 0x17393f6b, 0x8f9e4436, 0xde5d1313, 0x9cafbe8f, 0x4963b31e, 0xbc1cb2b1, 0x5a97496f,
+    0xc67d4f16, 0xa2ff85cd, 0x7791cab5, 0x021bdfcb, 0xde207ca5, 0x22de3199, 0x0172488f, 0x896f7b73,
+    0x3226039e, 0x3a40e0f4, 0x9e5bb615, 0xb77efae5, 0x2a89614c, 0x1738f552, 0x420212d6, 0x1ec34cf6,
+    0x7b411796, 0xff36b491, 0x5f8d111d, 0x4e3d712b, 0x38847c15, 0xcafce60d, 0x5adcb009, 0x5e12c66b,
+    0xa197b8a3, 0x74a0e1c2, 0xae3d43df, 0x0a87b814, 0xc5be8bd4, 0xb3726ed0, 0xa6c92c33, 0x371c528d,
+    0xf077584f, 0x5322825a, 0xfc9ffdbd, 0x6566fed8, 0x3c5290b7, 0xbaf08a1e, 0x8cbb0223, 0xdb009587,
+    0xc642c7ea, 0x279c79c8, 0x038fd4c4, 0x4b7af869, 0x0b6b684f, 0xba124eca, 0x950fe8ac, 0x97a4564f,
+    0x9687c29c, 0xf2ca729d, 0x14b67466, 0x0062b1ec, 0x8df960a0, 0xc47ba3c4, 0x5172aae7, 0x45521bdf,
+    0x55660323, 0xb494d569, 0xf1bbecbf, 0x05f38c58, 0x716ada75, 0x1c61e867, 0x4ec6b1dc, 0x635d95c9,
+    0x0fe53db7, 0x72e2a04b, 0xad33ebe9, 0x324ccf28, 0xfad24497, 0x009846f7, 0x81f0a209, 0x1b7167be,
+    0xb351636c, 0x64d5c371, 0xba1f12c6, 0xfc74a88f, 0x80bceb76, 0x32673fec, 0xba435bf8, 0x4843da0c,
+    0x8ea25e37, 0xaca0d05f, 0xd551fb83, 0x633f760f, 0x0d39f5a9, 0xdb29eee6, 0x5d744cfa, 0xc1534320,
+    0xa7729645, 0x5f4bb326, 0xf4a95a05, 0x4a28e0c4, 0x93ce0c0e, 0xacedf568, 0xd635cc00, 0x8a93168c,
+    0x04a7d104, 0x880bcf53, 0x1b18ac59, 0x6fa9aa84, 0xbc8a2f65, 0x2e6f228b, 0x8a42e899, 0x67f98497,
+    0xac0f4fe4, 0x9df731c1, 0x0e35ba1a, 0x5047b881, 0xd5a6afd2, 0x5da0a06b, 0x74022b73, 0xf2e91b57,
+    0xa5d7018f, 0xce9ff30c, 0xe237c707, 0x7e85547d, 0x557c2a5b, 0x85c63109, 0x5de836da, 0x5f5ea2fc,
+    0x7311e804, 0x8a8e9a3c, 0x083e0c3d, 0xaa07ecb9, 0x9b8eb715, 0x552a3cb8, 0xc1c466cd, 0xa4a93e12,
+    0x0b55ab82, 0x384cb684, 0x85e8d106, 0x9a352b07, 0x8e822660, 0x556774ef, 0xb56053b3, 0x70337b04,
+    0x51efcb37, 0x701bf5ca, 0xfd81713f, 0x738f3678, 0xa4946b0a, 0xababed9c, 0x56414458, 0x31fc2bfb,
+    0xc5b8c44b, 0x52f17cb3, 0x07bc70d2, 0x54992bfa, 0x426d5c59, 0x6d8dd8d0, 0x065e09b6, 0xbf6e8cff,
+    0xcea7f909, 0xcda8fda3, 0x2f857498, 0xf20edfce, 0x3d35b166, 0x5179dc53, 0x81253b9f, 0x1d5d7eb0,
+    0x4ad9292a, 0xfc3cd485, 0x6245ea4d, 0xe55a6850, 0x8c97e372, 0xc67ea56d, 0x83165679, 0x5fc10569,
+    0x2fa78024, 0x63713767, 0xc459d207, 0x355b6ef8, 0xef7095f5, 0x5be9e540, 0x0f58aade, 0x79131278,
+    0x03a2eeac, 0x0ac88d4d, 0xa54ec999, 0x9db7df74, 0x327a707a, 0xfee6f72e, 0x74a73d31, 0xfdeeb17d,
+    0xc7b31006, 0xa47bc340, 0xdc741664, 0x1719f070, 0x0cf0aa83, 0xfce7cb22, 0xdeff82cf, 0xd03b5e17,
+    0xea975456, 0xbc42b512, 0x5aad3f04, 0x4a5ad321, 0xc84ac4a5, 0xa0f75487, 0x98616460, 0x2fe90188,
+    0x0d253303, 0xcccab6a2, 0x2e43fd4e, 0xb25a5025, 0xc383e3d4, 0x1e3e1e7d, 0x8a9b63fc, 0x82c1ac65,
+    0xa13532cb, 0xc62dd420, 0x0179e8f8, 0x648f57d7, 0x476a7ccc, 0xc87369dc, 0x1296b515, 0xd14767b0,
+    0xbf6198e0, 0xbd7cfd2a, 0x96f7c40f, 0x1a76aba0, 0xc98f3c08, 0x1cfab2c2, 0x3c01a262, 0x09d16512,
+    0x25b74963, 0x2af3b1ea, 0x8153a960, 0xe96ddcd3, 0x5ca84530, 0xe115aa06, 0x34b44251, 0xbb48fdd3,
+    0x9bac9624, 0x26fec308, 0xcf4d4b75, 0xb0ee3977, 0x30eb2e92, 0x3caeb5fb, 0x49fd4a20, 0xd9d071e5,
+    0x2a751a91, 0x06c1605a, 0xd184f9ab, 0x0df14e68, 0x21bf553a, 0x091ffc63, 0x1f60a842, 0x544a815f,
+    0x793963cc, 0x15ef8385, 0xbea289ce, 0x0f452e8e, 0x41909f28, 0xcd61b62d, 0x30f30359, 0x3259e1fa,
+    0x93a0e483, 0x6c73e791, 0x99465864, 0x7957603f, 0x78661962, 0x23b658db, 0x2db3d17d, 0x1e64381b,
+    0x9641fef4, 0x5b911ac1, 0x7159e6a0, 0x6dda0400, 0x6a26a4c4, 0xd15eeaa5, 0x74ca05da, 0x6364841d,
+    0x9970fa89, 0xeaaee033, 0xe0f762cb, 0x93af8347, 0xc689b844, 0xc733c059, 0x91665174, 0xe781cd42,
+    0x750a56c0, 0x8d04a26b, 0x9b7f5dc0, 0xbe1f114c, 0xa76a0df0, 0x6657621f, 0x006ca06f, 0xb4365e63,
+    0xcb658cce, 0x075c0928, 0x1726c1ee, 0x266333c7, 0x4b3de402, 0xd3e978eb, 0xe52c7175, 0x1cbd16a1,
+    0x1f043769, 0x4cd27965, 0x3b83c946, 0xc257c83e, 0x65374bd6, 0xa24d7ad2, 0x7c831d78, 0x17eebcb4,
+    0x729354b7, 0x01fc2f30, 0x5def2423, 0xe6534197, 0xf22511f9, 0x90bb6e04, 0x733369d6, 0x8e4b817b,
+    0xfaebdb89, 0xbc9801f8, 0x9cb8519f, 0x3718f083, 0xd57ef70b, 0x1959dee6, 0x07bef925, 0x5ad75729,
+    0x573b8731, 0xbb9e9aca, 0xbe4f180e, 0x24f5797c, 0x59ac4117, 0x0c592d63, 0x28f26017, 0x3606a4b5,
+    0x5b822865, 0x7b9598d6, 0x0180b8ac, 0x0c831809, 0x32ce14a4, 0x7bce3d25, 0x3593ed1e, 0x6672d91a,
+    0xcd3b44a4, 0x9f6cf128, 0xf061d3db, 0x5557ac2c, 0x439796fd, 0x924219f2, 0xf425f15b, 0x1f293ef9,
+    0xe05345de, 0xa7ff4f95, 0xb564083e, 0x799d83e5, 0x4538f2d9, 0x7527496a, 0x2e034f71, 0x164a92e8,
+    0x709bdbae, 0x1ba3007e, 0x3203ec4e, 0x35a8b2ea, 0xd29f9378, 0xeb0a9d28, 0xefc06711, 0x030048db,
+    0xfd6a4d9a, 0x399dae72, 0x7da68175, 0x69d2d027, 0xcc381338, 0xf4e77207, 0xceaff090, 0x387db49f,
+    0x1577feb6, 0x041fe0a1, 0x936b071c, 0xd93cd46f, 0x520c975e, 0x43fa55f1, 0x6fb1f8bb, 0xc498be31,
+    0xa37880b8, 0x7f0c8040, 0x5ef9457d, 0x486b0f3c, 0x3a43e73c, 0x94ff011c, 0x72125a9d, 0xa1b5466e,
+    0xdda96965, 0x9bc9f921, 0x9120b92b, 0xbd98fb70, 0x11807617, 0xb801ac8d, 0xa6bd8334, 0x0656922e,
+    0x0af7fda8, 0x3585e9ad, 0x831dbbdf, 0x75434b57, 0xfdc21d97, 0xfd1d341e, 0x5fbbd273, 0x1b789407,
+    0x409193e5, 0xf9951a80, 0x93bcf23b, 0x847ff87c, 0xc4ef3ffa, 0x71780d19, 0x8dee2da9, 0x00a83fad,
+    0x1bd55cbf, 0x0bade241, 0x1361ee91, 0xa4503db0, 0xff6322a8, 0x9242f703, 0x444f3f44, 0xe9a35f76,
+    0x8dbf4527, 0x9c9f1543, 0x250ea851, 0x300f4b87, 0xbf924a72, 0xe4a330eb, 0xf4660177, 0x476018bc,
+    0x5eb6fa42, 0xff47a1a1, 0xa91b4980, 0x27fc5cd0, 0x38bfa415, 0xc2176a1e, 0xdcf7d30b, 0x87349baf,
+    0x78f01036, 0xd4a48bc0, 0x902c8b1e, 0x14173089, 0xad5c2b7b, 0xe5c93209, 0x3fdb5ef9, 0x3949123e,
+    0x617412ce, 0xcf306d83, 0xc9f9cd52, 0x5885e29d, 0x8bd40627, 0xce99998e, 0xec3ba113, 0xf986b1ba,
+    0xf9d328ea, 0x4224706d, 0xaeeef5c6, 0xfd135ce6, 0x2012f977, 0x8fbcbb39, 0xd7436fd7, 0xdb43853d,
+    0x795b225c, 0xe8e89a0c, 0x60342d5e, 0x3b40394c, 0xc875a56f, 0xc5f246b3, 0x17940d91, 0xb84d778b,
+    0x606de578, 0x47a55a01, 0x88977c8f, 0x04b7c8aa, 0xa08a6c9c, 0x228fa707, 0x0272b986, 0x42367812,
+    0xe4326c79, 0xffcd3ecd, 0xb794e7eb, 0x02743041, 0xc3e9dd19, 0xb28ccf39, 0xcb44df67, 0x76b77458,
+    0xbcf5ad8e, 0x807a73a2, 0xa0fa9890, 0x5906996f, 0x7b286d23, 0xc47c3468, 0xe8390791, 0x666da5d9,
+    0x7ae73f2b, 0x3d74953a, 0x6845ba22, 0xe2f24d70, 0xf8bbead3, 0x66d26bf0, 0xe63d574e, 0xb12b4f9d,
+    0xbf2abc56, 0x83d3b852, 0x47d55d4b, 0x36ca37b6, 0x887425e0, 0xcd3488a7, 0xe10c2aaa, 0x1dfe17a4,
+    0x410a7118, 0x1c0327f2, 0xc0f26537, 0xa99991df, 0x10a6c240, 0x79c8505c, 0x90341358, 0xb8f80491,
+    0x3f69e591, 0x86bb3982, 0x2c9e5747, 0x4209a05e, 0xe8631c0e, 0x05902bc0, 0xae97378a, 0x4e8666cc,
+    0x5789bb70, 0x90eb440c, 0x5759bb51, 0x3d1faeaf, 0x2dd4272f, 0x62efe4d5, 0xd3c66dee, 0x9036012a,
+    0xe9760b8b, 0x231bc91d, 0xdc782829, 0x7b1dd38b, 0x302e984f, 0x0d0b5513, 0x3fdbfb69, 0xac49c462,
+    0xf773f058, 0xbaa06165, 0x67e2a631, 0x6186e55f, 0x05315e58, 0x0d81ea8a, 0xb3e8e1e2, 0x563e8ee0,
+    0xe9bd6858, 0x0ab38e6a, 0xdb65c2be, 0x17f12223, 0xc967fa02, 0x8a0966aa, 0x57f55825, 0xa9fbcb8c,
+    0x3b38fcb9, 0x4af298c5, 0x5f90c7ff, 0xab4b8262, 0xd5e6b0e7, 0x5c811559, 0x4cd9a961, 0xffb72a3f,
+    0xf094faff, 0x1225799d, 0xac3b2d8a, 0x3a050db5, 0x0d6df1ec, 0xff981193, 0x22a51a0e, 0xbcbfc00c,
+    0xbd75077e, 0x18e1692d, 0xdaf12380, 0x46566ba7, 0x115f3fae, 0x4239a031, 0x540b7bc7, 0xc81f0542,
+    0x4c4e8aad, 0xeb46e3d8, 0x711c4d53, 0x61a1ab67, 0xb59e7980, 0x2caa5738, 0x9f7efe7c, 0xf3a95a7b,
+    0xcb673c58, 0x0f3e209f, 0x77a670d7, 0x5bb30ced, 0x123b0efd, 0x5cfa6d19, 0xe07185ab, 0x4075323a,
+    0x2cfb1e5c, 0x791656b3, 0x526a9a9c, 0xffbae00d, 0x7f0ae3b3, 0x45dd78f8, 0xa150df1d, 0x7d238f1d,
+    0x621476d6, 0xd64b5eae, 0x94d30a7f, 0x919f04e5, 0x6d5252f6, 0x59cd25b2, 0x976e2e39, 0x3cef35c7,
+    0x4d6d0af1, 0x46c42644, 0xb69bc998, 0x052bf2eb, 0x94fe7dbc, 0xa00d0761, 0xa1d782bd, 0xedd3cf94,
+    0x67722e07, 0x26309978, 0x66b7b1ee, 0x45af507f, 0xdbf95856, 0x335a47ae, 0x40a9692b, 0xa56a890b,
+    0xe6ecb425, 0xeeccc7a5, 0xacad03a5, 0x9c88dea8, 0x4f22a615, 0xc0fbfa42, 0x0e6ad98a, 0x5c545155,
+    0x391289d3, 0x2abd433d, 0x06adb2fa, 0xea600074, 0x637d3746, 0xbf17ed99, 0xfc64847b, 0x9bc88220,
+    0xdcbab62b, 0x2236e475, 0x7fed9a94, 0x31b65c5b, 0x4d5da487, 0x63544cf6, 0x1efd4645, 0xfc7e89b6,
+    0x3101064b, 0x9dfc12b9, 0xba7ce236, 0x57430627, 0x7f1eb733, 0x0b62ae87, 0x33cfe742, 0xc0879e7b,
+    0xfa9a8080, 0xe5f26bef, 0x79b303f9, 0x3b5093a0, 0xf0743a85, 0x150d117c, 0x1b591231, 0x478278bf,
+    0x0e1fd557, 0x5fbb31eb, 0xb3ec3a6a, 0x40f88c0b, 0xb79a4b73, 0xa4e6e07f, 0x9305780b, 0xed844f76,
+    0x3b482915, 0x805f562d, 0xc0f7e2a8, 0xf765ae24, 0x2627e574, 0xf9d2a895, 0x369212e7, 0xc4c2eab2,
+    0xec4b9719, 0xadd1bd72, 0xb937596a, 0xc97335ca, 0xf4c77291, 0xede16dcc, 0xb4ce258e, 0xff4e607b,
+    0xe54074dd, 0x13cf0e15, 0x14b41925, 0xf6847420, 0x1105ff54, 0x6d130c8e, 0xe2712a48, 0xbdb8e4e6,
+    0x459a1115, 0xcc630f6d, 0x659675bf, 0x78fcd183, 0x19929077, 0x9fd7a142, 0x123297ca, 0x01706bca,
+    0x8cf33e80, 0xf1bbe7a5, 0xef786828, 0x7bf5ebd6, 0x25dbf10b, 0x0e5c40f3, 0x5c0ece5f, 0xe64340fc,
+    0x74edaf55, 0xab88dd79, 0xfb685c2f, 0x2eea4c13, 0xa8a3daf9, 0x18b4e0e2, 0x951a5402, 0xe56304fc,
+    0x0b201793, 0x62b0d623, 0xee3aa492, 0x1c2df088, 0x504237d7, 0x2b0f90a8, 0x01e74204, 0x2456f1e0,
+    0xdbc1fb5f, 0xa8940f4e, 0x2e4e58ef, 0xbc270da1, 0x8819a61f, 0x2d8c6433, 0xfb390671, 0xc065c885,
+    0xf69c75d3, 0xf3f632cc, 0xcc7da671, 0x16a7dc24, 0xa3bc39d5, 0x9a3a4515, 0x7c14ccde, 0x6c26e0f2,
+    0x90e5b630, 0xfece89f3, 0xf3141169, 0xeccbccf2, 0x74112da7, 0x0962d6a9, 0x1fcbaee6, 0x3ee30e10,
+    0x9d7f2127, 0x9570e0b9, 0x1e7d2227, 0x93c327ed, 0xf73f8b94, 0x9242b677, 0xb8f8f21a, 0x0a4f81cb,
+    0xcd80040e, 0x2917f323, 0x9658a9b1, 0x01f20e0a, 0xca4f6901, 0x27f76bf8, 0x4d131fcb, 0xd5c8479e,
+    0xb6784446, 0x120bcf02, 0x8ac62a37, 0x8e70c8c3, 0xde597588, 0xd49ba25e, 0x674f5d60, 0xd267bd72,
+    0xef32f699, 0x710aaadb, 0x9ceb0d43, 0xa497097d, 0xd4388af4, 0x5c0f4a5a, 0x4817c3bf, 0x72f66fd0,
+    0x3b8b38fc, 0x07062fb2, 0xa9f07c80, 0x2f0ba42a, 0x6d234d80, 0x5b4c6e76, 0xe093cb6c, 0x33153fc2,
+    0xa69be026, 0x2853f67c, 0x261e96e1, 0xa78b0e3d, 0xb60127ed, 0xaaf582b8, 0x8bf39c75, 0xeda1a551,
+    0x9ceca123, 0x7e085801, 0x6ac94789, 0x330ed6ea, 0x61eaf833, 0x84a89317, 0x5b0be86d, 0xb83d1e6f,
+    0x7791f8b7, 0x85218d4d, 0x2480c1c2, 0x7a79a05a, 0x4210c117, 0x26be6ebf, 0x39b5e215, 0xec7a05b6,
+    0x3ebb29e8, 0xb7f7ca0e, 0xc5a4b488, 0x82f12eeb, 0x63027887, 0x8511e87a, 0x26e4d792, 0x1f016bf8,
+    0xef7558b9, 0x1326957d, 0x7d9197e1, 0xaaf25292, 0x9a1f6c72, 0xb5d285e5, 0xc21e4941, 0x5c254134,
+    0x9f0e4fa2, 0xaa656645, 0x331e4f60, 0xb0f37b73, 0x98001132, 0x1057f88e, 0x5b4c24ba, 0x7ae77fba,
+    0x488b4683, 0x574629b1, 0x3248ba6c, 0x5053319e, 0xa8087119, 0x33e4dee1, 0x3eb09568, 0x771e2baa,
+    0x3a52f32a, 0xe0fbe6de, 0xb74b1c2e, 0xca8baf62, 0x1622236d, 0x1194c424, 0x2602541e, 0x815191b8,
+    0x34f15da6, 0x20d0f6dd, 0x400f0be1, 0x8d7a73b2, 0xc0d27b54, 0xd6c67428, 0x1e828ebb, 0x644215ef,
+    0x1340afcb, 0x6a85ef66, 0x135eb357, 0x2ed405c1, 0x97af28fd, 0x812dfb2b, 0x07e861a6, 0x62f08b24,
+    0xb67c25ed, 0x683835b2, 0x0abd9ca1, 0x0d72cb90, 0x9cd5827b, 0xbabb51b9, 0x4a8aa964, 0x91ddd145,
+    0x5ff2345c, 0x5fb89757, 0x0e81654d, 0xd1d97bd0, 0x1aae9ec9, 0xa1852eaa, 0x4efae412, 0x34bf1c5b,
+    0xf9650789, 0x57ce7056, 0x1ba227df, 0xdfa86524, 0x2a06f3fd, 0xebd0bb60, 0xce6cd1dd, 0x617b02ea,
+    0x715e3de2, 0x7a8ae22c, 0x5cd8d03e, 0x3f508e8e, 0x677f8b7a, 0x91ac9ece, 0x955d8e22, 0xe00c8d94,
+    0x913669f2, 0x86560de9, 0x916be724, 0xf6903fa2, 0x2e42c3cb, 0x18cc59ad, 0x9a849629, 0xd40404ae,
+    0x004e6dfd, 0x34a80480, 0xd07a4c6a, 0xf19522c3, 0xfda3ad31, 0xdaf5a905, 0xcdb73f04, 0xa81d37ac,
+    0xaba1df93, 0xd3a55ef8, 0xfdcee68f, 0x80ae173a, 0x8dd75513, 0x0af90c68, 0x4032620d, 0xfbfd1c37,
+    0x686ed5ad, 0xcd9dd429, 0x7fe01c8b, 0x0aecbf54, 0x12960990, 0x965ee24a, 0xe1d37627, 0xfd2c44e7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000784637716923335095479473677900958302012794430558004314112 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea80, 0x721314ab,
+    0x00000000,
+    0xa4045a77, 0x73235930, 0x418be012, 0x6d07b653, 0x6b4a27be, 0x51bfe072, 0x657a785c, 0x365b40bc,
+    0x7407df33, 0xf0e30e79, 0x58e4190a, 0xc61b203b, 0x28d26e77, 0xd6cde95d, 0xd95db17c, 0xd8ba456e,
+    0x15ba045a, 0x2b3c3885, 0x4a018b18, 0x6f8f2387, 0x13ece8e8, 0x1a488c09, 0x382262d8, 0x6001bc43,
+    0xa31952af, 0x95fb0d92, 0x4e7b1f88, 0xe6453211, 0x4bc11587, 0x32e3fb3e, 0x32c7c32d, 0x0318d69d,
+    0x742266cb, 0xb575c3c2, 0x2bd2538d, 0x710a2418, 0x6566c777, 0xbe238fa3, 0x40c6cf16, 0xbcc24523,
+    0xb391e50b, 0xbb78b811, 0xb0a37b3f, 0xf2f13b1d, 0x1943c940, 0xc63b5ddd, 0x86e0b135, 0x760ef703,
+    0xa94ed099, 0xbf59916b, 0x05eed8a9, 0x3d0e1471, 0xb1d9f304, 0x2cdc1713, 0x62c9e797, 0xcdacca93,
+    0x272afdea, 0x7442bab1, 0x4b6a9ccf, 0x69c1d002, 0x8778568b, 0xe1ede5d9, 0xeae003d0, 0x937ab6e7,
+    0xfe3d71a0, 0x2a905576, 0xca048950, 0xdddbcaa7, 0x9248eece, 0x57e607c3, 0x7d62dc97, 0x852add25,
+    0x5dbd1276, 0x5f91f93f, 0x0ded8064, 0xc5ae39ba, 0x3f3082a4, 0x265c8f65, 0xd01cd6ad, 0x153c8a61,
+    0xf427eb39, 0xf4fd8785, 0xf6876df5, 0xb2ee0f85, 0xb23c90d2, 0xf00711de, 0x2fcc3755, 0xd57a5960,
+    0x54d5fae7, 0x2f645d55, 0x132fab95, 0xaee55951, 0x07e3439b, 0x5f15517c, 0x9861cc2e, 0xabe8a551,
+    0xb6abf84e, 0xb9db4727, 0x5f3d285d, 0xf9213f96, 0xab45f34c, 0x8a6711c3, 0x23068740, 0x58771597,
+    0x3e64bda7, 0xa8bac877, 0x0ebd3b6e, 0xd2a40625, 0xdb35cf67, 0xc93862b6, 0x3550c0fd, 0xc903700e,
+    0x41f774d3, 0xba4eb13e, 0x1d1773d7, 0xa23f19c0, 0x2d9e1c42, 0x3feaeab9, 0x0a079906, 0x0c219982,
+    0x049e6fcd, 0x90152082, 0xff35404a, 0xd4b58e5e, 0xb200aeaf, 0x42912ff5, 0x794c3bda, 0xd174f145,
+    0x0a0a38ab, 0xd737bde2, 0xa98a6ec7, 0x1877b3d5, 0xa155ab2a, 0xbabaac15, 0xd40504a3, 0xf0460e29,
+    0x6971c6c9, 0x8b4f68ab, 0x0a0b40c8, 0x6a9e0261, 0xc38c00ff, 0x5fc9d4dd, 0x440e346c, 0x6fc0234c,
+    0xc6a68d53, 0x8a6b2bf9, 0x4ee17d79, 0xa46ec61f, 0x420b33ef, 0x6f591200, 0x7e0c6422, 0xad3522dd,
+    0xb108a3c3, 0x4ef2e66d, 0x4c1a040b, 0xf2e3ae5c, 0xf774f4b0, 0x8e74bda7, 0x9e26c850, 0xfcb5ff28,
+    0x8d1f7626, 0x22f6eb74, 0xbb17b751, 0x4f0ccdd3, 0x8ff1831f, 0xead9ec0d, 0x96301cf1, 0x57c3a13d,
+    0x94fdc8f8, 0x94e633da, 0x357e0c00, 0x67599a02, 0x2c17a9f0, 0x32b5b927, 0x872bd4ce, 0x81d24720,
+    0x7611af11, 0x263f77d0, 0xd8d708cf, 0x9b714ea5, 0xa4633238, 0x6f6227de, 0xfddee174, 0xd55c3303,
+    0xb6cd2eed, 0x875c0ab6, 0x21b47045, 0xf6f96cda, 0x450c4566, 0xc4f7fced, 0x71fb952e, 0x57ce427f,
+    0xd40e9172, 0x8dd658cd, 0x48fcfd68, 0x29a7792c, 0xfda4890b, 0x58e33759, 0x5655ea60, 0x01a2d7ae,
+    0xdd55149c, 0xc2668147, 0x644f7d90, 0xa9834a92, 0x2c97f29d, 0x181131a6, 0xf7d346ca, 0x369ad89c,
+    0x0664ea2c, 0x1b4e3c9a, 0x338f82ed, 0xaff1855a, 0x1b1716f4, 0x19a12be2, 0xc945cf5e, 0x0b69bb23,
+    0x2c74f770, 0x420236a6, 0x4157d62a, 0x95ced45f, 0xf030ef3d, 0x6b89cf2b, 0xdb0425e0, 0xd94d0e6d,
+    0xdd5d12a2, 0x7f860cf3, 0x50231455, 0x0fdc1d36, 0x70c5067d, 0x2289131d, 0xebe72cd8, 0x35573107,
+    0x46410008, 0x661c818e, 0xb1d2064f, 0x7ccbc3ae, 0x9880af2c, 0xb8d91f29, 0x10b556d2, 0x21715f9d,
+    0x56d9f139, 0xd7177f25, 0x525dc38c, 0xef65fecc, 0xf6d2682d, 0xa9249b5b, 0xca6e1303, 0xe301715a,
+    0xab5ce0ea, 0xf84d353c, 0xd98edbf2, 0xcc428b49, 0xb6e4a1ce, 0x91546451, 0xc0e55e91, 0x4bb30b63,
+    0x3c8cb509, 0xbf720ded, 0x641c311b, 0xd3642f52, 0xd0343f75, 0xd2309a08, 0xc07f55c7, 0xe13e4082,
+    0xad4a6c11, 0x4cfde3d8, 0x1eb24102, 0x275012e9, 0x2e224d03, 0x33e982bb, 0xc91e19b2, 0x656263d5,
+    0x3e01ce24, 0x65e11522, 0x4f051862, 0xca722709, 0x5efc14e0, 0x5a8e6e3f, 0x06d63265, 0xdbd724a9,
+    0x26185c65, 0x32ed2441, 0xdcebe299, 0xcbc0690d, 0x0093ca58, 0x5f2471d3, 0xa524ae33, 0x11f5a392,
+    0xf232a90b, 0xc565bcbd, 0x6252cf5f, 0x2267c1b8, 0x2b44ce84, 0x9003b695, 0xb6601aff, 0x407f8b38,
+    0xddbccf78, 0x5855239e, 0x87e3738e, 0x4e043fec, 0x1ba50d9d, 0xcc3ff184, 0x98681cb9, 0x54e5d2bf,
+    0x670f99a5, 0x173dd186, 0x8baa9ade, 0x11074434, 0xe5721456, 0x7358a0af, 0x63ac4319, 0xa101835b,
+    0x6666d9f7, 0x35b09688, 0x4a600396, 0x0d7259d0, 0x4598b9e4, 0x7ce01e12, 0x1d7ab2ba, 0x94a4a611,
+    0x7c2167cd, 0x0e167d02, 0x492f079d, 0x05e9b727, 0xb7695c02, 0xd60e733d, 0x6630b5eb, 0xfe5ec9a4,
+    0xd74faf02, 0x7ed392fa, 0x6eb3c352, 0x6c379b2f, 0xaac4dd68, 0x25b7dcef, 0x5dc2dac6, 0xc7b6bdbb,
+    0x5c7ef78b, 0x98eb38ba, 0x3ef201d0, 0xd2d65b9d, 0xee15aba2, 0xae1a1d92, 0xcf67c5ec, 0xdf5c19bf,
+    0x2207a580, 0xda9d6e59, 0x84f359e5, 0x736bb7f7, 0x7eb91dd6, 0x2766f918, 0x911f4c7c, 0x70e72de6,
+    0x01a7e7fb, 0xe5fc590e, 0x955d6b03, 0x05bd819e, 0x7c8cb7a0, 0xc9211fe8, 0x1921fce0, 0xe423efa4,
+    0xefb19d7f, 0x84667ef3, 0x10399d66, 0x8d88996f, 0x704fdd9c, 0x07f9c6bb, 0x94e56782, 0xadc0977c,
+    0xe84378b3, 0x286f5f1a, 0x9f93660d, 0x87c6ce18, 0x52f84b2e, 0xbc7727a5, 0x90bbb858, 0x1643a2d2,
+    0xe21e6320, 0x3cba57c6, 0xacd90beb, 0xf0ecf674, 0xdb1379ac, 0x77ab4e7c, 0xfa294012, 0x88f12c67,
+    0xe88b9b65, 0x1cba1425, 0x9883df34, 0x8a876832, 0x74f6593c, 0xe8404b2e, 0x4003ab64, 0xf5906526,
+    0xa06901c9, 0x96ab0c4e, 0x75773ac3, 0xdb307a4a, 0x265eb8b6, 0x81172452, 0x67b4581c, 0xcdabc433,
+    0x6672dfbe, 0xacac41bb, 0x883b9b57, 0x6f424196, 0x527f1bec, 0x80277bc1, 0xae074715, 0xa5445f62,
+    0x40bab9a3, 0x345e685a, 0x75980adb, 0x008a2bb4, 0x4661f722, 0x67338cd3, 0xcf80d4e4, 0x69957fba,
+    0x4882d2ed, 0x0231c13f, 0xd9115284, 0x18d2145f, 0x2c22cae4, 0xf5f228d8, 0xb7080815, 0x3b88bb2c,
+    0xb6148492, 0xe8eb51fb, 0xa3b976c4, 0x6b5911c6, 0xbefefaf4, 0x484ceb34, 0xf0a22779, 0x9978bb59,
+    0x624d467d, 0xaca599ae, 0xd4318a98, 0x292ba9a9, 0x284b3269, 0xe4d17e60, 0x5540b617, 0x960538d2,
+    0xc40e71a0, 0x527701dc, 0x8f244e72, 0xd95a5501, 0x0b8e9775, 0x6007544c, 0xf1fc9936, 0x8cee81db,
+    0xbef5099e, 0xa5a80207, 0xaa374636, 0xf22ff795, 0x57993b2f, 0x1e1c5e69, 0xa80a6380, 0x67da88b0,
+    0x005df037, 0x0d4d39da, 0xbdd7a39b, 0x5c95c806, 0x494752f5, 0xe97348b0, 0xe54975e9, 0x9f251ea7,
+    0x946dba0b, 0x314ec322, 0x430fc728, 0x7ff155fe, 0x93700fa2, 0x4be8664c, 0x93336a15, 0x624dfef2,
+    0xe77f944d, 0xc120ac6f, 0xa95f0d75, 0xf0423364, 0x08853479, 0x758eb29b, 0x2e5e4784, 0xcda6d356,
+    0xa14cf910, 0x919cd3bd, 0xefdf79dc, 0xa6acff17, 0xf9b41b2c, 0x3be2f87e, 0xaa950b8b, 0xb36891fb,
+    0x82b28cdb, 0x161bf641, 0x6d976a8f, 0x194654bf, 0x9fc4826e, 0xee18ee59, 0x340e12f4, 0x1afb3ca1,
+    0xd95457d9, 0x8de99755, 0x07774f6d, 0x35893f5a, 0x4e44e37d, 0x6d47e090, 0x04b99f85, 0x425e60b6,
+    0xb33abb40, 0x7cc76034, 0x2a92f756, 0x5a9cbe11, 0x0b558918, 0xe8091e58, 0x236797eb, 0x8435e36b,
+    0xe727e629, 0x8cedae4e, 0xcb615c68, 0x15866459, 0x08e26988, 0x990a1484, 0x532e2b3e, 0x34f61480,
+    0xfae71afe, 0xea930daa, 0x64b4c3bd, 0xee448934, 0x0e4f2257, 0xde651b1e, 0x0e2c6257, 0x4a68dd13,
+    0x55e7b0be, 0xd60950e8, 0x6ebdcc72, 0x7b99bb37, 0xccac5319, 0x5032a62e, 0x7761de87, 0x19a42944,
+    0x73105e88, 0xe925278e, 0xfc2437fe, 0xf2c05cb6, 0xa95b733f, 0x0fb6698a, 0x319e3499, 0x64c1ef03,
+    0xd29d7ed3, 0x132bcd6b, 0xab8e3614, 0x3d3ba2fd, 0xe226931b, 0xe3f7f9ce, 0xc09c96f0, 0x3d7592d4,
+    0xd07f3a2e, 0x29a75ee1, 0xcab4c939, 0x61882fe3, 0x66953fbe, 0xa45b483c, 0xbba7c93c, 0x766ef9bb,
+    0xbf43ec9e, 0xa390df3f, 0x3e894fc9, 0x9d9442e1, 0xd4fac796, 0xadcc7a33, 0x91799667, 0xd9552e4d,
+    0xc4c616dc, 0x991d087d, 0xcf86d075, 0x44cd9815, 0x8546e357, 0xee52453c, 0x79cec148, 0x80570fa1,
+    0x7741dab2, 0xf138cbdd, 0xc8798461, 0x2bcb791d, 0x2b82a571, 0x70760010, 0xfae783f3, 0xdc5539fa,
+    0x2801d80e, 0xf50122c6, 0xa05c80e8, 0x073b1ecb, 0xe1dfe6b9, 0x56bad774, 0xa9d68076, 0x41e58f32,
+    0x5df0e2f9, 0xacf3f657, 0x992a801a, 0xcf443c3e, 0x2b4245e2, 0x6bea50bc, 0xc5c83871, 0xb117afeb,
+    0x60e038ca, 0xc6cdc7e1, 0x771c117b, 0x465fb7f1, 0x4734c5ea, 0xb8064181, 0x5f58efee, 0x94b8cb59,
+    0x1ad8edc9, 0xdde928b0, 0x30cbef0f, 0xbed794b9, 0x964d9f26, 0x17cccf74, 0x6641b6f6, 0x759a7170,
+    0x86cc4b6d, 0x1a5ba41f, 0x3d92ffc2, 0xc96a6fef, 0x57027ce1, 0xec1dc523, 0x2b077305, 0x5ed27552,
+    0x5d834374, 0x3cf1106e, 0x631e5443, 0x93db05b0, 0x5849b2cd, 0xda42b440, 0xac9afbc8, 0x3cdea2c4,
+    0xdd5080ae, 0xd9109208, 0x7a9ae3ae, 0xe43f52de, 0xf16b420c, 0x4c6e0186, 0x79a76eec, 0x27692e49,
+    0xfda46187, 0xc0b0e8a3, 0x56e36658, 0x951a6f9e, 0xb476873b, 0x3f0024a6, 0x322a247e, 0x01d30a19,
+    0xe3bcd713, 0x2526aa32, 0x1600fc7c, 0x44b86e5c, 0x524b96ce, 0x2b57d28b, 0xd2b175ce, 0x966c1519,
+    0x97889936, 0x88b343ff, 0xed348a91, 0x06c91f0d, 0x50f91f10, 0x9d8e1dbe, 0xe67aa7cb, 0x1c50dcb0,
+    0xf0ba03f9, 0x3582fa0b, 0xdac645e5, 0xd57224ca, 0x14d77ba0, 0x09146947, 0x33a72eb8, 0x8a38d582,
+    0xb01b223d, 0x557064cb, 0xd216e05c, 0x97d2540e, 0xbd0e8949, 0x94626a33, 0x442f94a6, 0xe35b9676,
+    0x8d04c8fb, 0xd534649b, 0x469735bf, 0xeef66305, 0xfbd247b8, 0x8de8e7b7, 0x8fa3a4f9, 0xf5256495,
+    0x158d50f3, 0x8d53b65c, 0xe887484d, 0xf43bfcbb, 0x2f5ae6df, 0x84b1c4ef, 0x760b6b07, 0x621a98c7,
+    0x2c70a0b7, 0xbce63783, 0x0b4a09a6, 0xafb7ba01, 0x10e6f2fa, 0x1fda47d1, 0xcb05fe3a, 0x6cc52e39,
+    0xb5a2f2ba, 0x0d423c8e, 0xe84bf90b, 0x310b7390, 0xb15b26e0, 0xe5558d91, 0x8e225b1b, 0x180741aa,
+    0xa4f5f681, 0x0f4a6885, 0x3f7b5757, 0x54056e8e, 0x7cc30d1f, 0x0042e0dc, 0x2a0f7199, 0x7eade41d,
+    0x288c5e0e, 0x797df740, 0x8c808dfd, 0x9523e642, 0x1fd009a0, 0x860cf649, 0xa037ceb7, 0xed21d4a3,
+    0x860937f7, 0x9efe095c, 0x8a7b4a7a, 0xd28fa22c, 0x1cd6538e, 0x7da09d99, 0x3606ce18, 0x0b41c609,
+    0x3f9387af, 0x80ac1373, 0xc5167d86, 0x6aed0df1, 0xa10ef399, 0x4d35e22a, 0xf969a1cb, 0x84d9b325,
+    0x29d4dc8f, 0xbf294b26, 0xf6b3c3a3, 0x1ec87409, 0xebac8a61, 0xdf0f5575, 0x6e9b36d3, 0x7f58c06f,
+    0xa82cde59, 0x1fbfa1a2, 0xbe509c00, 0x9fca4b66, 0x8d0af6c4, 0x2c04fbaa, 0x5f5c53db, 0x87ccb72e,
+    0xff8321cd, 0x8e9ae653, 0xe313d880, 0xd34174fa, 0x5557049d, 0x346223d1, 0xe65f76a4, 0x41608ab9,
+    0x8d1d0d80, 0xe72ff36b, 0x89c0eab2, 0x0d3fc549, 0x87ec145e, 0xac635e4f, 0x5b905197, 0x06fc92bf,
+    0x77dc9c33, 0xf58923d6, 0x6272e6b3, 0x9bf2cae4, 0xf1b5c88a, 0xa58d6a63, 0xc5b9f397, 0x61fe78f2,
+    0xb1424e73, 0x9877544d, 0x6ac63f3c, 0xcfa51c49, 0xe014483b, 0x1a6098e8, 0xbdb5925e, 0x775df5fc,
+    0xd023114b, 0x5dbb45b5, 0xe8321944, 0x00d4f051, 0x4c383d00, 0x13910143, 0x3b5d7ea4, 0xe2ddfe5e,
+    0x132c9b70, 0xcb68e742, 0x2d8bcba8, 0xb4c87a87, 0x25a84f52, 0x71efd1d2, 0xd240df9e, 0x3e99adf0,
+    0x2f76a5e1, 0x6538627a, 0x30d2a8a4, 0x8cc641aa, 0xc5978a4a, 0x9b23bf6a, 0x4da7f133, 0x2717ee67,
+    0xbb689cf4, 0x93da0a3d, 0x5709664a, 0x71f9747d, 0xba3cacb7, 0xa400fa13, 0x977f7e01, 0x0703a565,
+    0x973e5215, 0xbc54226c, 0x3c7f12d8, 0xdbfc9b1f, 0x8e8e0ce2, 0xe4c40b5b, 0xa554bb19, 0x2284c978,
+    0xa82c17c8, 0x3261d931, 0x210b2630, 0xa076268e, 0x55f9d2a5, 0xd1029321, 0xcd327be2, 0x833ca178,
+    0x13180764, 0x5f1de552, 0xb081b0a4, 0x14e572fb, 0x720f46d8, 0x881aaad7, 0xa86263ab, 0x4818b2c3,
+    0x5a2ab7f6, 0xa348b26c, 0x8f80cda6, 0xd9acfff1, 0x12738a6b, 0xec34e480, 0x94af8541, 0xcf666c4d,
+    0xd8fdca57, 0x806498fe, 0xf80ae874, 0x3573a765, 0x43ef14a9, 0xb456a0b5, 0x3e712209, 0x25877f54,
+    0x476a3d7c, 0x9d7fae72, 0x95893134, 0xcba9c127, 0x75d46cec, 0xe7fe25f3, 0x2bf9dc1e, 0x2e31bc5b,
+    0xa3282e55, 0x8fbbe505, 0xe685578a, 0x19518bca, 0x944aec89, 0xac5cdb79, 0x46c9f77c, 0xe3fe6126,
+    0x0947f9cb, 0x09bff702, 0x0fc97c00, 0xcff34c37, 0xc758fca2, 0x3ee34524, 0x557a4161, 0xa095699a,
+    0x2fad39be, 0xd9909c07, 0x4f42c473, 0x2a81295e, 0x0ec844f4, 0x0628ff6a, 0x7a5f57c3, 0x48f40aa2,
+    0x4efabaa9, 0x0bb08ca8, 0x3051777e, 0x349bf842, 0xa9fd4ffe, 0x422c154b, 0x81fd03eb, 0x31ff8fc4,
+    0xd00dd385, 0xc5e14ed1, 0xbaeae9b1, 0x22fcfe84, 0x15ac31ef, 0x5bd510b2, 0x53a00959, 0x2df88043,
+    0xe41a7614, 0x8eb04f5a, 0x48f9463b, 0x456cdbe3, 0xbe5d5617, 0xfcdcf65a, 0x71cd53e8, 0x6bc0b12c,
+    0x42e69e52, 0xe2aaff49, 0xce500c7c, 0xbe6dbb03, 0x9ec05aaa, 0x33412427, 0x89c9cf22, 0x19b107c0,
+    0x3c84a2fe, 0x1f9715d6, 0x927e04ec, 0x9768fffd, 0x2d4782b1, 0x65a405e2, 0x8ad630bd, 0x7c898ceb,
+    0xc6843a95, 0x4c72c914, 0x24e48f94, 0x0f9a52ce, 0xb3e775d6, 0x9ac598b0, 0x2f1c0cb2, 0x1ff32056,
+    0x68edbc8a, 0x095a3d6f, 0x568f82bb, 0x5263e708, 0xa60b8c3e, 0x3dc7d237, 0xef9a4270, 0xee819db4,
+    0x96404826, 0x048716b9, 0x772310c0, 0x96fd1eab, 0x45edfff6, 0x0371ef40, 0xd702ae7b, 0xae0f8433,
+    0x81cb878a, 0x2cc2ae48, 0x88f6c99d, 0xbeab2845, 0xd98f5029, 0x5c6e28d9, 0xbd03890b, 0x259067aa,
+    0x0e7f81a0, 0x7f178984, 0x6ff3614a, 0x188c4a60, 0x38ed24c8, 0xf89a6f52, 0x39f413a5, 0x6c72df4b,
+    0xc5b4f2b8, 0x94d3c2d3, 0x5d1e7a85, 0xaef56e21, 0x2e4f154b, 0x7db9289d, 0x54d21a92, 0x3a45dce4,
+    0x0930cf1f, 0x593c046a, 0x1e9fe9ca, 0x7e06f4e6, 0x1ff9f028, 0xe917f808, 0x60ab5736, 0xee2d37e8,
+    0x5ab20907, 0x9e907c79, 0x8fe175d2, 0x3327d076, 0xf5f6de04, 0x3e9bee8f, 0xd12a1051, 0x96afc51d,
+    0x296aeebd, 0x1b86b338, 0xd38b9b8d, 0xf0aecada, 0xe70383ec, 0xa942812d, 0x4694b5db, 0x5a8fcb71,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000392318858461667547739736838950479151006397215279002157056 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d27540, 0x39098a55,
+    0x00000000,
+    0x90e4c7cd, 0x86b2496d, 0x7830d36b, 0xee7287ff, 0x3378d44d, 0x3f4c3cbc, 0x77e255ef, 0xdc9500b3,
+    0xfb9f9e54, 0x1fd30ef7, 0xdace58c7, 0xb5f44d24, 0xe8071ed0, 0xeccec76b, 0x9565d1ff, 0x44402247,
+    0xe8dc5e07, 0x0c5f6c00, 0xfffcb6b0, 0xa0f7ca41, 0xb34217da, 0xdd04d675, 0xc695af1f, 0x8ba16495,
+    0x9dedd3e3, 0x7e7c1c00, 0xa439dd8f, 0xa2fd0f64, 0xf6dffcd9, 0xbffd4c81, 0x789500cd, 0xe189be31,
+    0xdfd1bef0, 0xdd13cede, 0xfa3b2b29, 0x1ea92218, 0x14a66e43, 0x063d45c9, 0x28e4a3b4, 0x6dcb5217,
+    0xa9b87ded, 0x89d90a02, 0x13d40881, 0xd120b799, 0x635b4f7f, 0x68e6e6be, 0xa2812600, 0x4cada8dc,
+    0xaa0df2d0, 0xd3aee625, 0xd0824ab4, 0x1a2eaa3d, 0x6382470d, 0x75761ce5, 0x74d5f43a, 0xcfab874d,
+    0xcb25750e, 0x256f2fa4, 0x9ba81c2a, 0x174eb769, 0xd5c4d0be, 0x690f421f, 0x87d7f4a8, 0x2f35de4e,
+    0xd3c2b9b8, 0xd860d328, 0xfe521af3, 0x90cb038c, 0x177c363c, 0xc1d0d79f, 0xa879aedd, 0x6ecb2439,
+    0x879b9955, 0x1de83c62, 0x10dad713, 0xcba503d2, 0x3698d6f6, 0x98edcca9, 0x29d6751a, 0x8f96cdee,
+    0x2c8c7be7, 0x98a58372, 0xafccc66d, 0x3490c087, 0xdfe17a6c, 0x5a876acf, 0x03d751df, 0x03af8e07,
+    0x9e703a2f, 0x47fd1422, 0x00f220f0, 0xefce2e0f, 0xabda2920, 0xca0ec9b0, 0x1d7c2caa, 0x4116a557,
+    0xa6c1533e, 0xee8b8bb9, 0x4c67613e, 0x8d941deb, 0x17e3edc7, 0xcbb58df6, 0xa1e147b0, 0xb43b79f4,
+    0x6aa708be, 0xcd5194c8, 0x04753180, 0x1743b3ee, 0x9a4a4ef1, 0xe5098e75, 0x3b765dff, 0xff442fc9,
+    0xf35593b0, 0x83949a5a, 0x98665cc9, 0x9721c27c, 0x075e8c8f, 0x800cdabf, 0x359e1a9b, 0x27917879,
+    0xda365dd9, 0x3527d4cc, 0x7c33d882, 0x5850c143, 0x89235281, 0xb5580a68, 0x4d4a1ffa, 0x54a67b39,
+    0x9266f564, 0x7b320703, 0x1c8f30b6, 0x5370bd80, 0xe9e3035b, 0x9b25e361, 0xa5c48bf1, 0x49f1c466,
+    0x964b0ebf, 0x4c2f1988, 0x94e66847, 0x09807d97, 0xcbd5939a, 0x0653bfaa, 0x1ada713f, 0x04e9eaad,
+    0x983ba7dd, 0x2c03e52a, 0x6103bab9, 0x70e6610b, 0x110e16be, 0xdb663b1d, 0x151ad6d9, 0x7f76ec30,
+    0xd37b6b19, 0xa596bf80, 0x15497872, 0xebc4d848, 0xac3f65e0, 0xa4cf4114, 0xb44c18f5, 0x35ab2995,
+    0x6b3998d7, 0x31f39d7e, 0xccb7c837, 0xb160d29f, 0x0faafc9a, 0xbd7df01a, 0xa4ca44f4, 0xf07170b9,
+    0x31d9a2be, 0xe22cab82, 0xa0379e4d, 0x808e4051, 0xeae58402, 0x859a055b, 0x271a5987, 0x98550c0a,
+    0xd8e6c735, 0x17ad8c74, 0xf523c863, 0x8c24c38f, 0x82835fb2, 0x06a5bebe, 0xcdcba672, 0x3dd2a2aa,
+    0xbfa055ec, 0x39dca916, 0x2bd75bc2, 0x5dde54f6, 0xdcfb0290, 0x039e451a, 0xc48c9d87, 0x5aa339cf,
+    0xd9cf6e9d, 0xb3b51e54, 0x532c5d22, 0x66b66563, 0x5cf1a2c0, 0x809d2233, 0x969e2ebe, 0xc8eafe7a,
+    0x6fe9087d, 0xcedb1953, 0xaca55c53, 0x470e6653, 0x0e57e8be, 0x7dc22b5f, 0xe849e320, 0x93568c94,
+    0x1430f8fc, 0x045d10b1, 0xfd449845, 0xd1be52b5, 0xa22d92da, 0x368e90e2, 0x2deccd90, 0x668db182,
+    0xc45cd8fb, 0x76c1067a, 0xa7abfe31, 0xf467d9ed, 0x76f16276, 0xb2bb3852, 0xb1a3f7f9, 0x5ac83076,
+    0xbadf10c7, 0x40aea5e8, 0xfea63597, 0xe59a3bd5, 0x1e709683, 0x8f834017, 0xcf3948f4, 0x106fe881,
+    0x1a96e8b4, 0x1244a3dc, 0x6f41a736, 0x4017c6cc, 0xcab096e8, 0xafc3dc08, 0xcfa40d9f, 0x09c995f8,
+    0x937117b6, 0x7a2fcab5, 0x7f258002, 0x225d8ccd, 0x086c1cc6, 0xa322d410, 0x85db6e2f, 0x459e253d,
+    0x25cb47b5, 0x8dbfbfe0, 0x3576a146, 0x28805762, 0x7a3933d4, 0x6a706cfe, 0x56e17f39, 0x334380ac,
+    0xc35bc0c8, 0x1bd1e8f6, 0x71282429, 0xf001eaf8, 0xb7dd413a, 0xff22cbf4, 0x3272dfcf, 0x895f4b17,
+    0x37ddb18d, 0x53350cd9, 0x3882b0e6, 0x747a45f5, 0x9f20de8e, 0x2ac231bc, 0x04e5e857, 0x05b2b2c1,
+    0x7846f217, 0x8da3da6d, 0x6ee9a331, 0xf486bc75, 0x1f1718cf, 0x2803cadf, 0x7b4afb99, 0xa205a849,
+    0x4804fd03, 0xc94db268, 0xade47b41, 0x33806545, 0x40d61eda, 0x520cee85, 0xbac49de0, 0xc359c817,
+    0x04cae62a, 0x31c15189, 0x67579496, 0xc35c40bd, 0x35c00789, 0xb666554b, 0xb3efc76b, 0x0ba56946,
+    0x07575349, 0xcae78839, 0x136983a3, 0xe4b4bbd8, 0xf2131a16, 0x3619795b, 0x672a2f6b, 0x81d5590b,
+    0x7fa3e7d9, 0x163110b6, 0xa2d399d1, 0x5551c7d4, 0xd2511b3c, 0xef691c56, 0x37a693fb, 0x0d955497,
+    0xa7a49d0d, 0x6f0c902d, 0x3d0ede10, 0x76a14f0a, 0xe8b9271a, 0xbc9b56b3, 0xf95c0f1d, 0xbe3318b3,
+    0x2653bf56, 0x639ce39e, 0xc2d96994, 0x169dfedc, 0xb08e5bd8, 0x217382b7, 0x0edd7a69, 0xfe9f16d2,
+    0xaf8236c1, 0xd964300d, 0x793e7876, 0xf59c2e19, 0xfe230a8e, 0xc0346bb3, 0x61414443, 0x84b260a3,
+    0x60b301a5, 0x6ac43d39, 0xab64a9da, 0x9a605421, 0x18605b17, 0x17e02a53, 0x85cf2c8a, 0x09d6eef5,
+    0x566904df, 0x7b16fca6, 0x44ff1451, 0xf8f676b7, 0xd9ffb8f1, 0x8142a421, 0x71c77e62, 0xed6afd68,
+    0x956b5b2a, 0x1e8be661, 0x9c7b339b, 0x925ce4c0, 0x4828f502, 0xea90fc0f, 0x4c383b04, 0x00a24b7c,
+    0xf0f94d30, 0x16bf9add, 0xf230837a, 0xe7c57082, 0xf023618f, 0x430ee7c0, 0x2905998e, 0x508407da,
+    0xcf08ae1d, 0xf03b5967, 0x3713ab5a, 0x4e2b5275, 0x22d9cd24, 0xc8f1bf91, 0x29f4931b, 0x31be52a0,
+    0x1fce2644, 0x38355edb, 0xf0f8635c, 0xb47d34fe, 0x9550c6c4, 0x23de38aa, 0x76eba4d6, 0x63f2c58e,
+    0x71ede1b7, 0x15bcbbdf, 0x54f98a21, 0xf7806811, 0x85e50051, 0x04bd58cf, 0x4e72ea55, 0x775a9cb5,
+    0x278b87bc, 0x9ca60198, 0xf3e4557b, 0xa46dea43, 0x0f203bbe, 0x2a8d95e3, 0x2045dcd7, 0x04100e9c,
+    0x2a6b99b8, 0xcfe20af6, 0xd3db800c, 0xdf1e34df, 0xcdfeeae4, 0xc9052220, 0x560d859d, 0xc695a0f0,
+    0xff71863a, 0xbb9f25d2, 0xcf3eba24, 0x04788612, 0xc6a8e101, 0x618e994f, 0x1f005619, 0x9b3203a3,
+    0xc9d5267d, 0x22d175b4, 0xc96eb6b4, 0x98ac3d9d, 0x488b723a, 0xb726479b, 0xe133f77f, 0x3e4a9a46,
+    0x43e2aabf, 0xba6c2afe, 0x02f83d69, 0x9fe562e8, 0x5efc286b, 0x465955e9, 0xac6de597, 0x99f1362b,
+    0x64472192, 0x57a1950f, 0xf02daa72, 0x20fe9b5f, 0x0b53e7c7, 0xf3f9a454, 0x4127235a, 0x9219965d,
+    0xa0618f9a, 0x1c953873, 0x41ee221e, 0xd1632c58, 0x80892ccd, 0x42773146, 0x15bcd820, 0x3d545453,
+    0x5b942632, 0x49f286a4, 0xcb534ff3, 0xd8404e83, 0xb22626ad, 0x3d92a6de, 0x5aab3292, 0xbf5e5ef2,
+    0x2f68b6cd, 0x8a1ed067, 0xe6257605, 0x34ac6a1a, 0xdb166a86, 0xd1f17b20, 0x176ea798, 0x29f7a56e,
+    0xc20ac557, 0xc859d4e1, 0x36859473, 0x28ae62c3, 0x0b0a7396, 0xe13c7a56, 0x55f3c3ba, 0x562176a2,
+    0xa8e8d4ba, 0xa95ff7a9, 0x7f424203, 0x43b82486, 0x94948d1e, 0x2ecd7a0a, 0x74894e47, 0x6ae0d6a0,
+    0xe8346397, 0xd283364c, 0x0f95ee70, 0xcd6110b1, 0x9f74cbeb, 0x1aade92e, 0xf69d0842, 0xb0e3538d,
+    0x924d514c, 0x3d508b95, 0xfd2b8d4d, 0xb384bd98, 0x77d55adc, 0x9431c880, 0xf595007c, 0x8104f42a,
+    0x5e8a4991, 0x7a1c4ce1, 0x61e2741c, 0x081286ff, 0xe3192a03, 0x852330cc, 0xf0971b1f, 0xae93b15a,
+    0xbdc5b9d1, 0xf425c570, 0x6bed40dc, 0xdacf0135, 0x76020385, 0xe556f901, 0x3584f96d, 0x37a4e769,
+    0xe3e62712, 0x268c61bb, 0xb235cdf7, 0x86b5d0c4, 0x7751c454, 0x3277398e, 0x9bcb602f, 0xc84f8407,
+    0x258eafe5, 0x39a9c33d, 0x5775e537, 0xcc9800fe, 0x82f7899d, 0xab78bfe5, 0x0958ddd9, 0x4399ef6e,
+    0xfe1e879a, 0xf48cb6b6, 0x457c46d4, 0xa1ce93f1, 0x5f0e220f, 0x1c42a5d5, 0xa70c9638, 0x0ddbce00,
+    0x138d3036, 0x66c27e6d, 0xd58e987d, 0x767acf27, 0xd8445467, 0x42aa3bf5, 0x41650757, 0xbd6ed2cc,
+    0xb517393f, 0x7a53a8f9, 0xf3eb36ce, 0x340917f1, 0xa38f1fbf, 0xd88fd7bb, 0xb785f276, 0x20b23e03,
+    0x02621be9, 0x20162a71, 0x1a7bbeda, 0xb9f3725a, 0xa8fa7270, 0x9d135fa2, 0xad698cfc, 0x9cdb038f,
+    0xe87d4206, 0x8048f448, 0xd7a0c0c2, 0x1c04c56e, 0x87f7f140, 0x907d9f01, 0x3c0ed875, 0xe8949498,
+    0xaa714137, 0x815543f8, 0x65dbfd2b, 0xc467d787, 0x91bb3606, 0xdf8b7949, 0x99e4cda1, 0x58d8a65a,
+    0x3046015b, 0xd5f93516, 0x5db37c2f, 0xf7740261, 0x70e28bfc, 0x8e578f24, 0xb055f635, 0x75a361fd,
+    0x5030e39c, 0xf86316c8, 0x01723cd5, 0xdd3c0f84, 0x4389c6b8, 0x4a83746b, 0x9d36261e, 0x79fe338d,
+    0x446f7fc9, 0xb66027fb, 0xbfa88de9, 0x572566db, 0x7a73b4e2, 0xc65e2cab, 0x138d0d86, 0x1a8b5a57,
+    0x6cde06a6, 0xe499a993, 0x2b53abb3, 0x1292739e, 0xe15771f9, 0xba34c7b0, 0x411bdb6f, 0xc7f12c96,
+    0x016695af, 0x611475b4, 0xb905875a, 0x9e43862b, 0x01b3a5b3, 0x3417fcaa, 0xfef2978e, 0x589b8683,
+    0xbca22329, 0x46f266f7, 0x6709a665, 0xc1731664, 0xa332e080, 0x19179db8, 0x170a8492, 0x6d82226a,
+    0xe7ff1206, 0x5ee25201, 0x5540462a, 0xd3a546dc, 0x84aa06d5, 0x9817104c, 0x4b50db78, 0x66720245,
+    0xe8df164d, 0x030d9e41, 0x20f66cf6, 0x69a9d4e8, 0xbd0c71d8, 0xe99ef6b4, 0x4cd5a554, 0x29a8d8df,
+    0x0cc6b465, 0xed2527d2, 0x697c9b37, 0x814da7fc, 0xfb9c8ce5, 0x1158838e, 0x4920763e, 0x35fb6b8a,
+    0xafcbed01, 0x17c9e641, 0xac205bc2, 0x416e2056, 0xdd765414, 0xe1d442cf, 0xbbb3b237, 0x40ce29b9,
+    0x9fe01221, 0x769f743b, 0x15be4173, 0x69599f1f, 0xdc288321, 0x3b6b0a79, 0xcad0ff50, 0x3e813117,
+    0x20945625, 0xf91092a5, 0x49f3dfcc, 0x8af336e0, 0xea372d87, 0x802a06b5, 0xfa156bb3, 0xd0254ef3,
+    0x80931b4e, 0xdc2dcf9b, 0x5fa1f454, 0xd842a111, 0x1aa7bee7, 0x54cc6906, 0x4605cc44, 0xdca0fefc,
+    0xd6ae7045, 0xacf9f45f, 0x3c7f22ff, 0x8df54a98, 0xc8f09d65, 0x9ad2302e, 0xdb85c3c6, 0x7f6c0fe8,
+    0x8102f5e5, 0x3dbd217d, 0x71a88e76, 0xc668af67, 0x78cf0c72, 0xd95225c3, 0x62fdcd96, 0x182d457f,
+    0xc932b24f, 0xc0e47098, 0x33a65a99, 0xa1327a58, 0xe9514bca, 0x8e576454, 0x6b26f91c, 0x6f496522,
+    0xab6b5447, 0x65271a5c, 0x7e268f2c, 0xcd16041f, 0x442a4ff0, 0xbcc45acb, 0x0adfbf4d, 0x884cfa9f,
+    0x6d2f74b1, 0x1eee926b, 0x4b998db2, 0x1e48ddcc, 0x0af85402, 0xa03572ac, 0x765ff438, 0x523f5b1d,
+    0xa44d9ec0, 0xeb416698, 0x8f16600a, 0x7659e003, 0xdbe2ec50, 0x2980d7f3, 0x5773f5c0, 0xce4a546d,
+    0x4fa17717, 0x9c5a6797, 0x9408199b, 0x988727c2, 0xe39e8f1c, 0xfb9b526b, 0x70627859, 0xaa58d70c,
+    0xa3195df1, 0x66f1b082, 0x68bb9a2b, 0x95288cb1, 0x4d67ccb7, 0xc7ebf183, 0x1ef0eacb, 0x8b5abdac,
+    0x3a3a2405, 0x0b383252, 0x4d97ed4d, 0x173bca16, 0xdc868458, 0xa0fc15c4, 0x7414ab32, 0x15cf460a,
+    0x4a424a90, 0x0bae8e3a, 0xf9d3cf74, 0x27a01958, 0x3e75e9a4, 0xff7cf9f8, 0x98bb0240, 0x00888720,
+    0xb104e6a2, 0x7987055c, 0xb71e99db, 0x44e6bd2a, 0xd34f7c3c, 0xb1e97a56, 0x5ed5b543, 0xa9493f7c,
+    0xae7788d1, 0x13956bba, 0x91277e75, 0x807747cf, 0x5ff42541, 0x85046e4e, 0xc29a5938, 0xdf5ee269,
+    0xd96efed5, 0x7cad4620, 0x9410ab99, 0x95d8d94a, 0x272add37, 0x8441906c, 0x593f47ef, 0x60915178,
+    0xf7b665a7, 0x2cccf002, 0xf20e6f8b, 0xfba0ae6d, 0xeb32a8fc, 0x77d06501, 0xd18d384b, 0x85ec20f1,
+    0xcfac6368, 0x18eded13, 0x08c8a4a9, 0x11d9d994, 0xa44972b0, 0xe17c29a3, 0xe4f0e790, 0x7b2ce7f7,
+    0xb31f27ad, 0x8ae4a11a, 0x0923b420, 0x003f2cd7, 0x59927454, 0xe750b6b5, 0xc108772c, 0x0f4f6bdd,
+    0xf5a1800b, 0x7803e4f2, 0x07125b6e, 0xbdcd7361, 0xa14a6b7a, 0x315debe4, 0xbe4e3dd2, 0x4c65e604,
+    0x8c00ff4c, 0x21ed604f, 0xcec284f6, 0xd15addc5, 0xd9eeec02, 0x9b2e11af, 0x4b021ea6, 0xf7cdc38d,
+    0xa3ad04fa, 0x250976df, 0x0995f793, 0xaac6614b, 0x0da3e1e6, 0xb8a4815a, 0x37c0cead, 0xcc3303cf,
+    0xa99539f0, 0xb431929e, 0x43d95e01, 0xf047ef0d, 0xa9c70a90, 0xad674b62, 0xaa5296b6, 0xb066d078,
+    0x49006c8a, 0x593c0a39, 0x7d9ab213, 0xcbee24ea, 0x38de0051, 0xbf958638, 0xb45713b1, 0xc55666be,
+    0x1bf33742, 0x56a94584, 0x309888d0, 0x17040591, 0xc2d05175, 0x8377f316, 0x46aaf0a3, 0x2ae7de47,
+    0xd20a1b8e, 0x5a10b334, 0x06ab80de, 0xc41ac5f4, 0xfaff2044, 0x2d6d6dea, 0x95f95b17, 0x3867071f,
+    0x4748d30e, 0x5e2e537b, 0x4bac93d2, 0x19e85505, 0x54209ea9, 0x715cd1f7, 0x3728cecf, 0xf02995d3,
+    0xb6c6d5c6, 0x780a0999, 0x6bd75bb1, 0x1f3616b5, 0x50144aa8, 0xc3e6bc3a, 0x2b0caba1, 0xd17b18a6,
+    0x8142be71, 0x2094c2f4, 0xfb848f6f, 0x517e48db, 0xa69146db, 0xa91c4904, 0x36f34306, 0x504c6c47,
+    0x872f19b2, 0xce5afea1, 0x1355e535, 0x9f3a6e81, 0x81e48228, 0x3d8bfdd1, 0x958f9931, 0x9a88cff9,
+    0x7e88699b, 0x0c689c3a, 0x22c1b82d, 0x9c7cf425, 0x0ca178d9, 0x11ec6b29, 0x8ba5d451, 0xd2964a12,
+    0x71dc2d8a, 0x21bb60a2, 0xd2e7c03e, 0x6bd579b0, 0x3869f139, 0x9e4667c0, 0xcbbe0929, 0x698ad7c0,
+    0x96737cac, 0xce01e7ba, 0xd4786fff, 0xe680d05c, 0x1d84a2dd, 0x35da228a, 0x61b6d224, 0x5e61171f,
+    0x38b24689, 0x015f9ac3, 0xa251eec9, 0xe71ff982, 0xfcf1b7a0, 0x7aeebd49, 0xed767862, 0x0f8775be,
+    0x4771089b, 0x54dd1aa8, 0x1982c1c4, 0x05201a29, 0xee768a36, 0xec25800f, 0x4eedaac9, 0xf1969af7,
+    0xf12fe535, 0x1715db2d, 0x27fc4f71, 0x9adc15e3, 0x214a6fbd, 0xd889c7d2, 0x445e0977, 0xacb3ad26,
+    0x8642b6b2, 0xf1c67652, 0x96ce9b5a, 0xfee4ba14, 0xb790fb1d, 0xedc3d02c, 0x94ff9d8f, 0x952a78cf,
+    0xc1fc0167, 0x1dcd7f15, 0x363e71bc, 0x4c34396d, 0xe1e7c569, 0xb59db930, 0x149c28a1, 0x40e503f0,
+    0xf1f22b37, 0xd9ffdbbb, 0x083ad693, 0xb68fa318, 0xcc759b5b, 0x872dd8c5, 0x6c4ccc1a, 0xa1fbf0ec,
+    0xf2174e45, 0xdccfe6a7, 0xac2805e4, 0x65108d8c, 0x8258a443, 0x4e55c0cb, 0xf3ca94b9, 0x8baa9524,
+    0x318839e1, 0x5d3bf2dc, 0xe19e9aef, 0x548c16f6, 0x644682ba, 0xe51e3085, 0x887c68d9, 0xfa00a464,
+    0x67ebf478, 0xc7a19d9e, 0xa523a436, 0x9bcc7674, 0x0f43e250, 0x85b9d1d5, 0x68e21b16, 0xfed1fc27,
+    0xba5f0865, 0xca5b2f1b, 0x4ffc440e, 0x35a96d03, 0xd0604ef7, 0x73d97614, 0x2d94931a, 0x47df53a3,
+    0x6c123173, 0x98e8ce27, 0x1cc70681, 0x0ba5cd3e, 0x6afc1a29, 0xebb325ba, 0x95903013, 0x9327681b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000196159429230833773869868419475239575503198607639501078528 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693aa0, 0x1c84c52a,
+    0x00000000,
+    0x882f64d3, 0x6005b5b6, 0xb4581eef, 0xdaacc9aa, 0xc8a35847, 0x93bf73e7, 0x5a42fb3d, 0x271cd96f,
+    0x8b3bbddc, 0xd337c517, 0xe1c47eaf, 0xf7d6f146, 0xa79f6f5c, 0xafc41b89, 0x563ad700, 0x6699c464,
+    0x840fb8ed, 0x4187685d, 0xbe0b5cfe, 0x43d63251, 0xb87b93e5, 0xf42f3431, 0xe23f55b5, 0x888692cf,
+    0x1bede6c9, 0x1585ce40, 0x8a4cf75a, 0x2925fd71, 0xd5538bc3, 0xaa3b2189, 0x177e7e9b, 0xb29b8502,
+    0xdb4fe019, 0x7dfde813, 0xbfd78a94, 0x9c584aff, 0xf012e513, 0xa93d7929, 0xd144c1ff, 0x053aea26,
+    0xc1439b2b, 0x50af9b58, 0xaefc74c8, 0x1c683e71, 0x87545da5, 0x18decb90, 0x99ef9fb2, 0xf7b30592,
+    0x993cad12, 0x60fc36e1, 0x0bc02eba, 0x0860851a, 0x66d17efe, 0x611d5d59, 0xf2b283d1, 0xa88bcb0b,
+    0x599f4e66, 0x2e7c278d, 0x8bb9658b, 0xab33094d, 0x59417ee0, 0xb9ac98a8, 0x53674cff, 0xda8fedd7,
+    0xbe7e5ef4, 0x4890622d, 0xc27f39cf, 0x48d9e443, 0xc68c6bb8, 0x38e29165, 0xf7711643, 0x97aa2007,
+    0x64951484, 0x7f61add2, 0xfcdb74c9, 0x1b008e37, 0xa3428351, 0x13570cb8, 0xb06f9647, 0xd2ff302a,
+    0xd4d247e2, 0xb1de2736, 0xdbe06ab0, 0x6f7be128, 0xc392dd05, 0x18d93d27, 0x219304a7, 0xe513eade,
+    0xfe58c095, 0x5a44333a, 0x405c1f6a, 0x4c712959, 0x2d9bf49a, 0x70ed509e, 0x6c3461dd, 0x07b799bc,
+    0x4d3f4ef7, 0xa7a2daf9, 0xde6ef2cc, 0xc9296094, 0xc79c4686, 0xd739fe01, 0x910f4a25, 0x7272bfd6,
+    0x2de3d131, 0xe3b8f229, 0x0202f031, 0x2d1e74f7, 0x16f7a4ef, 0x73d2f091, 0xc47667f8, 0xc624719b,
+    0xace2c963, 0x252e50ad, 0x03886440, 0x77a3d9b2, 0xcf6a2032, 0xa28705a7, 0xf3d94677, 0x6b895411,
+    0x99a9dce8, 0x4da3082c, 0xa223b455, 0xbf5cd95c, 0x3bd84cdd, 0xdad9dc68, 0xaf14ed91, 0x23d4e1ae,
+    0x5c33a7de, 0x0722c13c, 0x4023160d, 0x93fc9af4, 0xc8963299, 0x2a24d739, 0x9423675b, 0x641b60ae,
+    0xbe220751, 0xbc6acc7a, 0x9d5a553e, 0x0e1d39c6, 0xc4de2187, 0x1fd6c4d8, 0x832d3734, 0x62e5737d,
+    0xda561363, 0xd28ebf5d, 0x58441d5b, 0xb7fc479c, 0x66a07f0e, 0x76cf6773, 0x563fa4bc, 0x71b7fa97,
+    0xb31346af, 0xf7ed8994, 0x6273e193, 0xd21a002f, 0x9b128cc4, 0x8afb0caa, 0x622a7735, 0x042481db,
+    0xd3afa964, 0x188dd0ae, 0x90e3bd9c, 0x8a0c20a8, 0x7a29ee87, 0x7ae41291, 0x620e3263, 0x7bf06c1c,
+    0x529d3ae7, 0xdc61abe0, 0x2a5935d7, 0x688b83a4, 0xb7dcc9bf, 0xac3d2b4f, 0x85848671, 0x56c74e4a,
+    0x6fbb02d9, 0x6a2e6008, 0x4584765b, 0xfcef0d39, 0x57a24da3, 0xedf50ac8, 0xd59a2ff1, 0x080e8998,
+    0xb0644965, 0x34b52aa1, 0xd474ab40, 0xf5bdce26, 0xb5994cc9, 0x461862e6, 0x5dc2a102, 0xd0bc5681,
+    0xc328c267, 0xb4a08b58, 0x43871d90, 0x8a5b1469, 0x33a19b8f, 0x69938ba4, 0xf5568ef8, 0x1fb6f63c,
+    0x714dc645, 0xc204f9f7, 0x390a3c39, 0x3c44df6c, 0xcc1043e3, 0xe9aa2798, 0xa9c89ba0, 0x8dbea996,
+    0xb599c045, 0x21ab9ce9, 0x92f85d00, 0xb0c42efc, 0x91645d09, 0xd2c882e9, 0xdff3ef24, 0xc9698d7f,
+    0xbe1c79e5, 0xb04c619d, 0xaf08418b, 0xfd81637f, 0x0dfd1514, 0xdd14b436, 0x867e77a7, 0xab0c915b,
+    0xb2c7811a, 0x2fdf098c, 0x34014f9d, 0x41307e30, 0x521f59f4, 0xd43676b3, 0xd62d26ff, 0xfb39979f,
+    0xbd91fc4b, 0xf2b50612, 0xb0a2d222, 0xa9741b26, 0x5ca6684b, 0x21fbd992, 0xb13419f9, 0xcc3c3848,
+    0x62091a8e, 0xc0151b7a, 0xec88fedc, 0xa8524c83, 0x65fa2377, 0x9b884129, 0x1464d87c, 0x1ec07928,
+    0x162b2740, 0x29ed524a, 0x64cf4c4b, 0x74ffa72a, 0x1ad327c0, 0xe80e744a, 0x75a6eee8, 0x948af71c,
+    0x7cd3dba4, 0x5eb6b090, 0x22983cb4, 0x6ff06b13, 0x98f32c2d, 0xff439858, 0xec750108, 0xa7b8bb66,
+    0xd2b24db0, 0x9c5db69d, 0x6809d4d8, 0xc1e90f73, 0xf4a95a72, 0xe85de66f, 0x74d6965f, 0xcfaaa9e4,
+    0xf61b29d9, 0x70848961, 0x0d6a4dab, 0x72444b5a, 0xcbc81258, 0x780efc4a, 0x3d7ed81f, 0xf0267777,
+    0x59b1291b, 0x989b2fc6, 0x936dc103, 0x3fb1f6d1, 0xb39e1c41, 0xf2df1564, 0x9b10c052, 0x66a4d5a9,
+    0x4286208a, 0x663bf1c1, 0xbb3c417b, 0xc49bf374, 0xe0ab4d2d, 0xb07a06f1, 0xbd9de668, 0xc6cc293c,
+    0x597d6f46, 0xdd0db11b, 0xa42e9728, 0xc55d22ae, 0x5d5d5dfe, 0x946a2922, 0x9780704c, 0x2ebd1b23,
+    0x582d3b0e, 0x509d520c, 0x335c090f, 0x02e9d994, 0x6144b061, 0x4db419e2, 0x138d0cfc, 0x53e9b4fa,
+    0x06ed9787, 0x69654b77, 0xe8e9cd50, 0x3064f35d, 0xc3e70095, 0x0b821657, 0x65d7f9d3, 0x415d51c3,
+    0x2edbd958, 0xd1d9abd9, 0xf28674d4, 0x240bad5c, 0xb30945bf, 0x497d818a, 0xe1aedfcd, 0xf6ec8fc2,
+    0xf4802451, 0x4edebb01, 0x356fbc3d, 0xcd24ee01, 0xaad76679, 0x48a5b9df, 0xf3d67891, 0x6e43a380,
+    0x16df8f25, 0xbedb6b02, 0xfc63047a, 0x3e39dbce, 0x9ac4ee56, 0x3d81075c, 0xd9f7d42a, 0x8ac56172,
+    0xc6423123, 0x8b7a4222, 0x27124604, 0x266b8464, 0x603dd02b, 0x7eabd21d, 0xab0aeae8, 0x26861b97,
+    0xa0161e78, 0x763d5f78, 0x93ee8dae, 0xbba050c8, 0x9600fb01, 0xd254c837, 0xb72d0321, 0x5bbcd888,
+    0xa426d7f5, 0x7cae1aad, 0x252c94f2, 0x80c7fe76, 0x2ed4f409, 0xd324f448, 0xd873ba1f, 0x859e84e1,
+    0xee9cab93, 0xcf8fcdfd, 0xe3de8ae8, 0xbeb89b71, 0x5a5a0931, 0x85980085, 0xf7ca3b17, 0xd9afbfc9,
+    0x5d4612ad, 0x14a4c9df, 0x4d65493f, 0x831ed0b6, 0xa7ee7383, 0xb404c6f7, 0x637a212e, 0x876ba846,
+    0xdeb54edb, 0x36669ec2, 0x6c355ec4, 0x91a7553f, 0x2b5e7a79, 0x683f57af, 0x106c1f89, 0x1b4f2dc4,
+    0xd3b89842, 0xd1308dd0, 0xc261a417, 0xd9b21ec1, 0x38736a0a, 0xb6d767df, 0xf8b7c759, 0x29fdf1d1,
+    0x6e40694e, 0x453f818f, 0x1744e256, 0xdba70200, 0x5ed7a9ea, 0x155d1707, 0x7ecdcb4e, 0xb9ff3798,
+    0x8945e677, 0x4f09170b, 0x46dfeb0e, 0x2928ce13, 0x0b89c961, 0x27d5c55d, 0x1fdb12d4, 0x9bcdc61a,
+    0x9b361cda, 0xbbf01ad9, 0x1b59979c, 0xad1689f1, 0x0c12af2b, 0xa2adc732, 0x56043260, 0x267ee743,
+    0x3a462d73, 0xd254887f, 0x41034180, 0x3472333c, 0x3935d541, 0x6fa09747, 0xfc674753, 0xfe2cc778,
+    0x4031cdb1, 0x1e0f0b2f, 0xb64a7bb9, 0x5bf2512a, 0xb58734ae, 0x201ce840, 0x6baa0396, 0x8465d51c,
+    0x9061089d, 0x9416e0ce, 0xfc3a7a92, 0x3fe22a4d, 0x577131c3, 0x7ed9519f, 0x10b10e41, 0xc09fe0fb,
+    0xb8f218f7, 0xa3b4f82c, 0xcabcc881, 0xd2e7d430, 0xa6047584, 0x7509352a, 0xd6a61126, 0x10b6167b,
+    0xf9a6a1b6, 0x0c3ba1d8, 0x83afc009, 0xc864f44d, 0xb25357f7, 0x451f5886, 0x6ba81aa3, 0xf846efed,
+    0x572f5d76, 0xe712628a, 0x4a689b2c, 0xde5cb640, 0x955c778d, 0x14557995, 0xbfb41e7d, 0x463199c7,
+    0xc9654953, 0x85f3823d, 0x11db17a6, 0x59fdd7c7, 0x944310bc, 0x98eac1e3, 0xa5d79948, 0x5d8a26a8,
+    0x9ff4ef60, 0x9d8d2766, 0xf402215e, 0x6744af3a, 0xa74cc808, 0x8342689c, 0x661a292f, 0x6857fbc0,
+    0x70b7d695, 0x18c2bacb, 0xe5cf5c00, 0x3a187dee, 0x46014b39, 0x06db2155, 0x25c32e16, 0x25af86a1,
+    0xfbfea1a0, 0xcd3ee131, 0xc64b3e0d, 0xdbb1b48e, 0x0bc0ed99, 0x88ce5a25, 0xfe04cbf1, 0xeb3adcf9,
+    0x631cb201, 0x07906659, 0xe60ad3c5, 0xcaee813a, 0xd38bb748, 0x4f2165b5, 0x79ae2725, 0x8c658c58,
+    0x5dfc6544, 0x56b4d572, 0x1f5f33c4, 0xd49b6f8b, 0x2f8664b2, 0xb3d31ed8, 0x17531823, 0xd29fc1ad,
+    0x38bd2d67, 0x0e95828f, 0xcc6592c5, 0x88c8b3a1, 0xba1103a7, 0xea22d2a7, 0xe7fec7e3, 0x66e5e81b,
+    0x530f99a8, 0x9f4b214b, 0x47948e6c, 0x80d3cdde, 0xbc1da871, 0xdc605cfc, 0x92929fce, 0x4564dd46,
+    0x860ab3a9, 0x5ac7fa99, 0x8cfcb466, 0x500f6ad6, 0x4a359fc5, 0xb8b6a426, 0x150f62ea, 0x019c46d6,
+    0x4a3e4952, 0xf90092eb, 0x5a3dbc98, 0x12f7f57d, 0xd09552f3, 0xe835ca9e, 0x21763a48, 0x33d1686f,
+    0x67246ced, 0x36ccf04b, 0xdc67412d, 0x58c74998, 0x924d9356, 0xa68febc2, 0xa194f9f5, 0x89aa7865,
+    0x0af2dc9b, 0x9bbddeaf, 0xd0460028, 0x14e82e2c, 0xf690bd07, 0x4032df58, 0x2e3a4cb0, 0x35ca4fa5,
+    0x2eab3cc5, 0x117429d7, 0x98da0f12, 0x60582cc2, 0x386a6494, 0xd6dbee59, 0x43e25b8c, 0xbf846dc6,
+    0xba26b4f5, 0xa941b32a, 0x8a8c674c, 0xc23a4c3f, 0x8f46550b, 0xd8efa5b6, 0x96b24074, 0x793a2103,
+    0x920a9c70, 0xfb85654c, 0x77be7886, 0x3742c965, 0xb99f9b71, 0x10e57b79, 0xa476b501, 0xffbfff39,
+    0x00f65d16, 0xb4eb07ff, 0x9e36af9e, 0x8666e821, 0x704b6417, 0x053a2ac1, 0xf6ffe979, 0x187c7190,
+    0xd16002ee, 0x583a6d45, 0x5a025a17, 0x76e05e8d, 0x695a9ae2, 0xa10d3c7d, 0xb3a949ba, 0x52384fad,
+    0xdfa9aa21, 0x9542036b, 0x5ae8b2c8, 0xdc08f00e, 0xa011be94, 0x0b9522d7, 0xf860032f, 0x0d94cb68,
+    0x09fb1516, 0xa741be33, 0x2634dea8, 0x9d9d7813, 0x87142a1f, 0x5b624c52, 0x9d5c1f28, 0xf8792b8a,
+    0x484618d5, 0xee66bd93, 0xc0b32219, 0x13d4ee5c, 0x69426b86, 0xb0a6639a, 0x3293d1c5, 0x1a05ca58,
+    0x13082f60, 0x86f4ead1, 0x67a29710, 0xe1aba872, 0x8820258f, 0xd5e539d7, 0xfbabc5b5, 0x243619fc,
+    0x6a3ad57f, 0x59d04e0a, 0xbcd44335, 0x6c5cdb78, 0xba9728b5, 0xf6910351, 0x0e7cbc2f, 0x9fc295b7,
+    0x2f0fc50c, 0x3b04e847, 0xc6a72d43, 0xb2b67640, 0x835e5c1e, 0xc15a7823, 0x4e02df97, 0x025c6fe2,
+    0x400c070d, 0x447eccf3, 0x772f8100, 0xac17959d, 0x6efaf23b, 0x07107ad6, 0x6dbf4448, 0x8769da04,
+    0x690b52a3, 0x1e495896, 0x3023feec, 0x963a28d1, 0x69790f42, 0x079945e9, 0xea418006, 0x18682c52,
+    0x06de157d, 0x2f9472e7, 0x087b5baf, 0x788f7e7a, 0xe8a4bb9c, 0xbb5fc783, 0x2599ea8f, 0xfa52f058,
+    0x99c008bb, 0xdd01d996, 0x0100aa5e, 0x282cd836, 0x52fd8bf1, 0x6688ae81, 0xffdca393, 0x32b73f68,
+    0x4afdd4ea, 0x006c84cb, 0x8bba9f0f, 0xe16e5169, 0x46da90ca, 0xc4032f8d, 0x46cd44c0, 0x8aa50fe3,
+    0xfc2fbc8c, 0xf375d6d9, 0xc7f07981, 0xa08a880d, 0x4653280b, 0xb1616642, 0xa2608bee, 0x2310d588,
+    0x4e167ad1, 0xd2df801f, 0x213648de, 0x5155f71c, 0x1b175127, 0x131b78d7, 0x1ab3ecf8, 0xbafaa21a,
+    0xa130c482, 0xd60c9ba0, 0x6e320177, 0x096cc200, 0xd748cea7, 0xc66aee75, 0x8b528c65, 0x0398200f,
+    0x976dd3d8, 0xac0890c4, 0xde8c9056, 0x3b97238e, 0x1386ea53, 0xe03c6cc9, 0x716ec395, 0x2f07569a,
+    0xe4c01a1a, 0x227e8338, 0x169ee850, 0xbf467d52, 0xe4f71176, 0xfda52e9d, 0xaf9aee40, 0x775cc80a,
+    0xb237bd3f, 0xedb80629, 0xd211e483, 0x976a2a10, 0x9d729169, 0x5a2c052d, 0x6cf437f3, 0x068e1ce6,
+    0xb4d3ab93, 0x9fa7e18b, 0xc7efd8cc, 0xb31dca65, 0xeb5913ed, 0x520124b9, 0x22b5fb6c, 0x5e6205bf,
+    0x881b904c, 0xd01a3718, 0xea3ce640, 0x010f34a6, 0x5fbc756c, 0x007b0ece, 0xa0d1db78, 0x0d9e349e,
+    0x5114d783, 0x1b712ec9, 0x768ac9f0, 0x0c6b96b8, 0x92632955, 0x4962b96b, 0xee53573b, 0x121116bc,
+    0x78a3a373, 0x884373c9, 0xf403537e, 0x2c777383, 0xc5f32844, 0x9994c803, 0xd55f1533, 0xd6fde0f3,
+    0x1ecf609d, 0x177c9b00, 0xca561ecf, 0xe613ec55, 0x0cf83b7a, 0x7061e3b6, 0x9d4f06be, 0xf4c88f8b,
+    0x315a4195, 0x82c2a54d, 0x0769b11d, 0x9ef42da7, 0x03af9d4b, 0x15441c14, 0xbd2d7118, 0x79ce6d55,
+    0x2ee523c7, 0x02710735, 0xb9b0ec20, 0xaee7fc06, 0xbe5a77b4, 0x164779f1, 0x66c5f964, 0x9e347176,
+    0x801ff28b, 0x7b079002, 0x9f9e43b5, 0x1aca9400, 0xbff6b109, 0x466d7584, 0x2003da2d, 0xd41ed396,
+    0xe546d05e, 0xb3905cc5, 0xe085a34e, 0x30f92e4d, 0x25973555, 0xa55b3d6e, 0x499f780d, 0xf34fe8f4,
+    0x967b9c6c, 0x34e77ddd, 0x6b89f1d4, 0x8370cda0, 0x8ca5f656, 0xae1e1b4c, 0xb56b0887, 0xb9bf7839,
+    0x9b0b3e6c, 0x5c5300cd, 0x61e59bd5, 0x2c544501, 0x9ab6fad3, 0x8b802ea4, 0xd9a70855, 0x69424faa,
+    0x93713623, 0xc29b009e, 0x91312a6d, 0x7be0dcd0, 0x93b02d5a, 0xccf2e23a, 0xbeac31d8, 0x2134e43d,
+    0x7a6ea378, 0x34e2f6cc, 0xf766f5cb, 0x4d4d6528, 0xbd11712b, 0x4393ba63, 0x50d635fe, 0x91bbefe8,
+    0x2f7b4040, 0xcae2daa4, 0x9df5a99d, 0x3bedb24d, 0xa8405829, 0x4842f6e2, 0x65c6dbca, 0xa36f2f06,
+    0xadb81d59, 0xc9469f77, 0xc9b66533, 0xf5222f7d, 0x41ad15f5, 0xbd25bdbd, 0x79aadf70, 0xd8979775,
+    0xb5017bba, 0xf0f197aa, 0x1250b84a, 0x7248044d, 0xda727cc2, 0x79514325, 0xb028029f, 0x07a95287,
+    0xa0f2e844, 0x336fd7b0, 0x48bb6f58, 0xf69c385e, 0xec7b42c5, 0x6c2b89a4, 0x3de3b85d, 0xa34cb1b0,
+    0x0b7ae5a2, 0x5ab3b7b6, 0x03f6b6de, 0xd726a8a9, 0xefc89146, 0x978a44f6, 0xcba3e44d, 0xf1d680a2,
+    0xd21c912d, 0x9dc4835d, 0x22d5a4ec, 0xa4beffa8, 0xa801a474, 0x2ff929b2, 0x81339eae, 0x526d39a2,
+    0xa62d3b50, 0xeb3fb1e8, 0x539712cd, 0xe5b5a6ed, 0x3c3caf7a, 0x03b744d7, 0xbeda24d1, 0xfdff1c11,
+    0x0ccb7496, 0xf3f6617b, 0x21f65a0e, 0xfc91707c, 0xfebc83e1, 0x7fbd60b8, 0x7179212e, 0xd45a14c1,
+    0x90207a37, 0x8d5202ea, 0x57dd087e, 0xe4b299b1, 0x337e2321, 0x03ada510, 0x99064c1c, 0x854f831c,
+    0x86567eee, 0xb26abe36, 0x4f1eb741, 0xb50b500a, 0xfbb6620d, 0x5f6afa85, 0x3d7fcbd4, 0xdd2d07c4,
+    0xcae0fea8, 0x7cdcc703, 0xa623f059, 0x57257dad, 0x212de61a, 0x84261b5c, 0x9f66f30d, 0x216fbf98,
+    0xd6ea846f, 0xc319c48d, 0x732c41dc, 0x63e2d57f, 0x61204f09, 0xd6a285a4, 0x88299dc1, 0xab571cb9,
+    0x31d2649b, 0x45822426, 0x7b10a7cd, 0x4dacd892, 0xcb33bb57, 0x3bc0c449, 0x09ce469d, 0xb3eb05bf,
+    0x20826892, 0xe3a6f690, 0x7cdcb00f, 0x22833e0d, 0x75f058f7, 0x7d7b5765, 0x93625147, 0x6e1d3dff,
+    0xa7541f4a, 0x87e28afd, 0x70e0b3de, 0x439db9c6, 0xc3a5cce0, 0xd4707aca, 0x65674c44, 0xd3f641dc,
+    0xaa4f44e2, 0xaee1df05, 0xa1a3f772, 0x80077ab8, 0xe7c64047, 0x3a80fa05, 0x5d41638b, 0x5b570af8,
+    0x97b0e7b9, 0x3d7b3fed, 0xba01f1d8, 0x6f0f01d3, 0xa4607139, 0x625155ac, 0xaedc477d, 0x4be4a19b,
+    0x0326cb2f, 0xdc0d1580, 0x8d9cb21b, 0x47c0dbec, 0x58499778, 0x4c9ff6cc, 0xd3436f6d, 0xb100b084,
+    0x0b7a4233, 0x4088745b, 0xc8630b8e, 0xd0b961e7, 0x29ece3e7, 0xf8f470fa, 0x0419902a, 0xa757cdae,
+    0xc5a88622, 0xe268361a, 0x8815b4c7, 0x3e38c691, 0x5e55f26c, 0x0c5571f0, 0x8dbeabad, 0x12aa2db7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000098079714615416886934934209737619787751599303819750539264 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d50, 0x0e426294,
+    0x00000000,
+    0xbab7a8a5, 0xbb2aca0a, 0x3e4b7217, 0x13dc5b4a, 0x889cfbf7, 0x9f346bcf, 0xc4e54cc2, 0x6d69c7d2,
+    0x60bc1728, 0x305543b8, 0x8109cf68, 0x1a6e099b, 0x44ef712a, 0x42038b8f, 0x61933d8f, 0x3e9e5ded,
+    0x82c296db, 0xf0f418c1, 0xafe8e73c, 0x61deca11, 0xfbf782e1, 0xd1ac09b0, 0x139ad57e, 0xaa516978,
+    0xe5d4586f, 0xc6b6a698, 0x99520be1, 0xf3563c3f, 0xe545272c, 0xcc38eeab, 0x50f1269c, 0x8d86eb9e,
+    0xb162b418, 0x6a059d5a, 0x98d1bb04, 0x02eafcfd, 0x6155de4b, 0x495e1ba1, 0xfe2ece99, 0x64a74b6a,
+    0xff5b8ef4, 0x5a150e84, 0x86c0d780, 0x10017098, 0xa031f016, 0xa5562c94, 0x130b9da7, 0xacdce437,
+    0x2720e8b4, 0xd026e0bb, 0x9194a291, 0xfa50c039, 0x8e41036d, 0x6679fb98, 0x2000ae38, 0x470cdab3,
+    0xc0d234e1, 0x488554ab, 0xc8308514, 0x4aa83303, 0x4c31fb5d, 0x2a495468, 0xb8add21e, 0xb2ca1f05,
+    0x68186f03, 0xb17db60f, 0x9756c4b2, 0x6dfe1799, 0xd99ebe62, 0xa6008e42, 0x29a7ad85, 0xa4f8987f,
+    0x7d18f1d8, 0x2426c1c8, 0x7ddbfe1f, 0xa897f334, 0xd4b819a7, 0xdf493ca4, 0xa48bb05b, 0xc050892e,
+    0x5dab09d5, 0x77c723c6, 0x08a251c5, 0xcc21c8df, 0x8da336a9, 0xce80900c, 0x8a512b10, 0x2b1d1201,
+    0x63e6c2e3, 0x357a3965, 0x3666e207, 0x0d21bb60, 0xd1dc5d7f, 0x92dac19f, 0xaac56979, 0xde207ce0,
+    0x28f43737, 0xb9908148, 0x24912889, 0x36134cff, 0xcfc82995, 0xaf3ecb88, 0xc7442560, 0xcbe5789c,
+    0x563064bc, 0xe81c347e, 0x9ecb6690, 0xcb15cd07, 0xa132761c, 0x7b2ef26e, 0x74770e92, 0x8dfc7ed0,
+    0x5b399669, 0xa027fe12, 0x6d48cc7d, 0xfb440ab0, 0xb63b0c02, 0xce5cadbe, 0x70f5229d, 0x87b10314,
+    0x8ad9ebd1, 0x3295d315, 0xf3ef2706, 0x8a43593a, 0xcdefb6af, 0x2fe9a9c3, 0x69b88050, 0x1b1fa215,
+    0x42a15486, 0xb3c2c400, 0xb041ef1e, 0xe34d1dc2, 0x8eeeb334, 0x3676f48b, 0xf34ab781, 0x963994c9,
+    0x65865097, 0x485b605b, 0xdbea6fc4, 0x8a2d1b0b, 0xf56fefe8, 0xfb632cc4, 0x0d7aa1ac, 0x81f5dcf5,
+    0xc7cb6a94, 0x1daf54a8, 0x65d7dedc, 0x908935de, 0x88bba216, 0x447546a6, 0xf962bb87, 0x99a7c8b7,
+    0x38e3b067, 0x4f7b2d24, 0x6b1f9f65, 0x64e41397, 0xabce0065, 0xc6827183, 0x2201f90c, 0x451197d9,
+    0x811cba61, 0x45425433, 0x10396105, 0x06833e56, 0xc2f96492, 0x3a76f857, 0x9c860045, 0xdab4de76,
+    0x8ccc5711, 0xeff2c4f0, 0xe03fa875, 0xda4d5c17, 0x2829fbc3, 0x5de67b09, 0xc5c1af97, 0xd0c1ca95,
+    0xe97ab027, 0xf38979c2, 0x28081132, 0xaa3aca48, 0xcbbf5117, 0x301208eb, 0x940f97ad, 0x9753cc0d,
+    0x494d680b, 0x232ae1d8, 0x6bceac82, 0x5ecd9929, 0xfd83065f, 0x8d22c16a, 0xaaa7e86b, 0xb0eee498,
+    0xd57e1de0, 0xbc1e365e, 0x18edf102, 0x7839f808, 0xa4cf1cd7, 0xbd38c034, 0x673c733b, 0x2408bcbb,
+    0x7943cec2, 0x5ce03fb6, 0xff0b9a58, 0x8c774bab, 0x746a7a6e, 0xdc60a224, 0xf1a8260a, 0x0c896a53,
+    0xd41d852e, 0x6feb5fba, 0xff1a6104, 0x115005aa, 0xb7bdc8b0, 0x3b5a9d27, 0xb55ac4f8, 0x8980a3d7,
+    0xe1dee72b, 0xe7488248, 0x26236856, 0xaf92946c, 0x3e0d9de8, 0x5c042b60, 0x5d8d6d76, 0x74fd9580,
+    0xd8bb7739, 0xcc527bce, 0x38cbbccb, 0x6228db64, 0x11d58d56, 0xe93c412f, 0x08f41b95, 0x485b3e97,
+    0x98e57544, 0x67aaf7cf, 0xa97c910d, 0x3e1d89d1, 0x4b3598f8, 0x81357336, 0x7c2039bd, 0xfd646adc,
+    0x7fb4f990, 0xfaff2099, 0x79c5a0d9, 0x9e6eb517, 0xe264e5bb, 0x6a30eb07, 0xd98979e9, 0x1f864d1c,
+    0x33386b22, 0xecba46ff, 0x727dcc15, 0xaba977f6, 0xe887455b, 0x03b9b1fd, 0xea372295, 0x0a97ae49,
+    0x2ac17020, 0x38247836, 0x666a9428, 0xa4816d1d, 0x97d55c52, 0x16ba7a2f, 0x3e514452, 0x08e4fe4e,
+    0x27163903, 0x4d781a21, 0xcfcee64d, 0xa1141bbd, 0x5a0dfc71, 0x30044d78, 0x5d347b09, 0x549e4050,
+    0x20396cc9, 0x6bd6b616, 0x014cd918, 0x952f5cd2, 0x89c67063, 0x63453264, 0x9b5a8eff, 0xeabc28b4,
+    0x6e918063, 0x4d8c6fe4, 0x9ad04652, 0x944057b0, 0x0e3ee266, 0x77c3a6d8, 0x24c8355b, 0xc2732c0d,
+    0x20069d6c, 0x95d618db, 0xc59b8214, 0xf482c8a3, 0x407d223b, 0xc7ff4c21, 0xb906b854, 0x8aa79870,
+    0xf4f01161, 0x678357c2, 0xa94a3654, 0x6f1ef4a9, 0xe27ac480, 0x17fd45b7, 0x3c140f5f, 0x043ddd09,
+    0xdcbf96a4, 0xff761b01, 0x0413ab3f, 0xa3248303, 0xc65ea391, 0x0992d71c, 0x844405bd, 0x47b61e32,
+    0x2dcae28c, 0xc14f3d3b, 0x43a45501, 0x66a62e0e, 0xf4e84362, 0x93fbba72, 0xd389a33b, 0x65e1f495,
+    0x71507f5b, 0xfea289ab, 0x2227c728, 0xf7137ef2, 0xafe520dd, 0x8001ddb8, 0x25550555, 0x0a165e89,
+    0x1cdb6fc4, 0x4d778819, 0xbf09665f, 0xeded1bdd, 0x28e75aa4, 0x7cb98d4d, 0xdf544655, 0x26d2c894,
+    0xa497bef0, 0x3fb81802, 0xde146d94, 0x119244dd, 0x71f77368, 0x24ad77d4, 0xa3232b58, 0xf1ab2175,
+    0x08782065, 0xd14d6cb2, 0x3c578857, 0xf44a4c93, 0xee872ed0, 0x95b0f4cd, 0xd06e26ee, 0x9dd415a9,
+    0xd0cf3524, 0xdf8d0893, 0x666989d3, 0xb221e103, 0xa994f381, 0xb0111d33, 0xc5e66c17, 0xb6fbdd1e,
+    0xd66759d0, 0x71955b4f, 0xcddc05ad, 0x5e67e2c3, 0x07dd8cf7, 0x06f77522, 0xe24ecdd7, 0x1a9679c8,
+    0xc1259398, 0xdb3d44a7, 0xa484c573, 0x4cc39dc7, 0xc17611a1, 0x275f95c0, 0x736305d3, 0x93f7749b,
+    0x3bfe0238, 0xbf4a051e, 0xecd68bb5, 0x35d14cd6, 0xf9c48c90, 0x496ab449, 0x67bc7ab7, 0xed1fd38c,
+    0x6736114c, 0x95025740, 0xa39a4ca6, 0xd92d0ce3, 0x2578a126, 0xb6cdba89, 0xe7e82b43, 0x6aa8982c,
+    0xe956447d, 0x72a6a879, 0x96c2034b, 0x2442bb79, 0x535517bd, 0xf23d4d64, 0xd8fae2cc, 0xbc6698c2,
+    0xe33eb3b0, 0xfeb979d8, 0x1e88457a, 0xd0df09fe, 0xe4e2e415, 0x7829b049, 0x0e22fb1b, 0xd5b396ea,
+    0x2eb83cc7, 0x9acdf41d, 0x92f10c5a, 0xe8fb17c3, 0xc90b97e4, 0x8cc563f1, 0xaa72af6b, 0x3eeb883d,
+    0x648d3d5d, 0x7861ab76, 0x034d5330, 0x087465b4, 0x81b0d010, 0x275fdbcb, 0x7c8e7e5f, 0x41eb7a0d,
+    0x05941541, 0xfc68ada2, 0x8e4d0cfd, 0x09a01d86, 0x01a96d58, 0x47f612ef, 0xc9d76d5e, 0x2cf87c8c,
+    0x055358b1, 0x4ec539cc, 0xedeed164, 0x3fa38c70, 0x5d782075, 0x5d2a7958, 0x32f860b3, 0x5ce6cd5c,
+    0x7e949d5c, 0x490261a6, 0x10584648, 0x938c4a13, 0x246f65da, 0x377c474f, 0xb2058586, 0x9d4cce82,
+    0x62346132, 0x23100c7d, 0x65eb9d73, 0x84d7e745, 0x762e59ea, 0x9c62b74c, 0x831e467c, 0xb395311c,
+    0x54143688, 0x507fb70a, 0x2de7a6fe, 0x2bcf2e9f, 0x5a0b544c, 0x75383dba, 0xf0131cc3, 0x2d7d2412,
+    0x2e8ecc69, 0x21dfb98c, 0x4a63211b, 0xcacc0429, 0x128a36c9, 0x9dc27065, 0x1f20417f, 0xcc410392,
+    0xda49990e, 0x2f57483c, 0x6f096fee, 0xcf1bcd43, 0xd38365cc, 0x74c1be4c, 0xb46fc6c0, 0x2ac04f84,
+    0x68926737, 0x09f44ed3, 0xb8dc386a, 0xdd8f0069, 0xe9733344, 0xa13a208a, 0x83353d97, 0x5e7365cf,
+    0x1437ece5, 0x10f32a70, 0x30a8b58e, 0x959b3fa5, 0xfbfe502b, 0xeb498fea, 0x1b5b9df1, 0x110cc974,
+    0x646a2166, 0xad820358, 0x7f522ea2, 0x0d615699, 0xf8047dc3, 0xdcd3556f, 0x7747f18d, 0x8bc69e60,
+    0x686cc320, 0x21a65b77, 0xd9b97e3d, 0x12be0da6, 0x2378eff5, 0xef778b38, 0xd00b6c93, 0x9db4c0a0,
+    0xb305e143, 0x300730c7, 0x0c631c6b, 0xb476aa78, 0x95ca4c6c, 0x65fbc157, 0xc785c1b8, 0x5ef417eb,
+    0x980d2ee4, 0x3788c9d0, 0x201e4008, 0xeb2e6071, 0xc8b3cdc3, 0xcb3d831b, 0xaf61f4fa, 0xcc645d6b,
+    0x5172625b, 0x3865bc62, 0x483f136a, 0x1ed39842, 0x20d0e3c0, 0x540e5d22, 0x25e92692, 0x20cd58f5,
+    0xe69fa1b5, 0x16b3a6a5, 0x442d9679, 0xaebfac4f, 0xb5c58ba0, 0xb7ce1e0a, 0xa342fe7f, 0x114d67cb,
+    0x4b139751, 0x5fb7c866, 0xa700e429, 0xf78c6811, 0xd433e321, 0x53d7e4b7, 0x9bfd41a0, 0x1e98aca0,
+    0xd05fdcfe, 0x18ec20ff, 0x58623f57, 0x7da9b080, 0x6f31b2a1, 0xc9257fa7, 0x252d20e4, 0x7ef3869f,
+    0x0dd246ce, 0x6223f0af, 0xe1057024, 0x17f62c61, 0x72f441f6, 0x7c8c1226, 0x3358a16a, 0xcd3c84a5,
+    0x4cbb2e7d, 0x00d5160d, 0x92c5a9fa, 0x549e3b12, 0xc8e4c27e, 0x8c8fb743, 0x5cdda6ec, 0xbbfd5a64,
+    0xd95799c1, 0x62752990, 0x840dc430, 0x69a92f73, 0x56e74f05, 0x69513403, 0xb06d4699, 0xbbbb856e,
+    0x76bcf200, 0xdadf757b, 0x683a1151, 0xfb3c34c5, 0x7704a14e, 0x343aab9b, 0xab71a300, 0x72dda6a0,
+    0x9c6fe283, 0x8fac6e2a, 0xd5a7a9d7, 0x5bba7d8a, 0x2480de74, 0xf9c618d5, 0x8a607eb6, 0x9a856470,
+    0x77eccc16, 0x9858e38c, 0x11e9570d, 0xdaa172ae, 0xcc1d7d49, 0x3515fac3, 0xeca0cecc, 0xa535cbb1,
+    0x05e25a59, 0x51147c04, 0x7b7a24b1, 0x13df06ab, 0xc945a6c8, 0xf03c57e1, 0x7c6a48a9, 0x75f61cf7,
+    0x54bafa5b, 0xc8313c65, 0x97d26996, 0x1e0a293c, 0x1d3c2034, 0x1723994b, 0xc56c4e33, 0xc1538f32,
+    0x908df6a3, 0x4c207297, 0xc8dd12cd, 0xc7cd2095, 0xaf57bf18, 0xf97b4cb1, 0x76585635, 0x80973fd8,
+    0xf1d1605f, 0x61691abc, 0x2e29bc3f, 0x2ed1b1e9, 0xc5910fc7, 0x07f933ac, 0x86a82833, 0xe1ddde1b,
+    0x2202772a, 0xbcf022e1, 0xcbf9b63b, 0x9f3e8f3a, 0x89d71da2, 0x40556010, 0xeaa313cb, 0x19123432,
+    0x7e4e1c9b, 0xf2340b06, 0x95b1c7cd, 0xacabf07a, 0x6db5396c, 0xfc720371, 0xb9be2ca2, 0xcd7adbb2,
+    0x4b823c89, 0xdbc0ea68, 0x8a8263bd, 0x1b259ff3, 0x039f857f, 0x5ec0a710, 0xc1e65fdb, 0x6257e448,
+    0x488d1ed4, 0x183b688e, 0x642f3003, 0x5a3aec54, 0x5f36110b, 0x51eb8fdd, 0x0ba04830, 0x30c1f1a9,
+    0x5273dc66, 0x771a1738, 0x78ee4207, 0x71f455e3, 0x3ebd0382, 0xb27fe36c, 0x5c3022f8, 0xfe8bcc0a,
+    0x0f1adf66, 0xabecb26a, 0xfde4fb26, 0x1d869da2, 0x72f5913f, 0x4d0cfa2c, 0xabb3dc55, 0x67335d9b,
+    0x26de15ed, 0x3d0aca41, 0x4db29012, 0x69e45826, 0xffa80610, 0x62d5a56e, 0x8d158366, 0x464040dc,
+    0x4032721a, 0x54df80d7, 0x39c40de3, 0x47fa67e3, 0x38fffdb8, 0xae659db0, 0xcd722275, 0xc05de284,
+    0x1d56e9aa, 0xf417973d, 0xe30ec264, 0xbc8793e7, 0x7a38d18f, 0x05996409, 0x9b4cc050, 0xf955e996,
+    0x89d69d73, 0x0f53a5cd, 0x8c2bc301, 0x56d2e118, 0x46b75e88, 0x7e3539d9, 0x8eff5220, 0x4ca34df6,
+    0x81e1fa3e, 0xfb453769, 0x187d8f86, 0x2b815dd2, 0x0bde7dda, 0xef8b24d2, 0x16337542, 0xf9d07a0b,
+    0xd9b8835c, 0x715a4fcf, 0xab5d01ad, 0x6c7c6ba9, 0x268b730a, 0xd44de787, 0x015864d9, 0x69b206b8,
+    0xa7c55e56, 0xb9698f6f, 0x8d76586f, 0xeda66c1d, 0x44e69611, 0x757c5568, 0xe3d44af2, 0x3c6da783,
+    0x6b74cf7f, 0x448022d9, 0x3e1ebb0f, 0x431bcf4f, 0x56adc4c0, 0xabf5df2f, 0xce61cd51, 0xd33f74fd,
+    0x58edbba4, 0xba23a131, 0xf76ec4e5, 0xd08a3987, 0x5d077450, 0xeb345a25, 0xba6c07e3, 0x8f16a8a0,
+    0x6007f5b2, 0xf4269117, 0xffb02a3b, 0x2eeae019, 0x65f0efd0, 0x903600d8, 0x240d4317, 0x0dc48caa,
+    0x9d35bde6, 0xe6540dcf, 0x376a81fb, 0x6559365d, 0x73f54942, 0xcdc4489f, 0x22564261, 0x5d34c103,
+    0x2cdee871, 0x4e2f6c27, 0xdf742b23, 0x041dd27a, 0x5dc9f460, 0x19bf7372, 0x92314bda, 0x7b3c5e4a,
+    0x2f0e75bb, 0x120d3332, 0xacde41be, 0x6d383545, 0xa0bab5ea, 0x5c433ccd, 0x22ece990, 0x24749312,
+    0x7325fc61, 0x32ddd266, 0x9df42a9b, 0x4ce05565, 0x0b14b248, 0xa44001b7, 0x0fcb4d14, 0x7b0682cb,
+    0x35d9e517, 0x83d50257, 0x0953d7ce, 0x99afe8f0, 0x31c3d87a, 0x2ec30b19, 0x51fb90b3, 0x74915517,
+    0xd5c38eef, 0xb3b8a4c2, 0x0ae9e353, 0xf8ac07d0, 0xcfe23924, 0xcfc6baf5, 0x2394796d, 0xe75e67d6,
+    0xb761a750, 0x56957e39, 0x5390a5c8, 0x5dbaa354, 0x751c7dab, 0xf4f0d1a2, 0xc3acbbaf, 0x521586df,
+    0x706c16c1, 0xe377f490, 0x00c6dd72, 0xd3b23fa0, 0xbc467383, 0x6c89d8a0, 0x6b84448b, 0xa68a9754,
+    0xbbc3d502, 0x9a8d330f, 0xd16e8096, 0xeaed609b, 0x169441bd, 0x0f21aa8d, 0xe2aa79b4, 0xaf890ef4,
+    0x71c61b84, 0xdf4d211b, 0x7751fd33, 0x789119a8, 0xa24b7090, 0x17b77fcb, 0x2bd52949, 0x63662b39,
+    0x934e01ab, 0x5f40e724, 0x28272879, 0x67559ae3, 0xa41deba9, 0xf116855d, 0x169f9549, 0x6ae49323,
+    0x92793b57, 0x38ebe286, 0x5a598285, 0xf38b5784, 0xc57423d9, 0x3e853f2a, 0xa51ab97f, 0x0322654a,
+    0x10f2fa35, 0x5ef02fc3, 0xa331279a, 0xd9bbbdb1, 0xa2fffb53, 0xec66d887, 0xe2ed079c, 0xc8404812,
+    0x7a596930, 0x5982444d, 0x678f3db1, 0x9e511df2, 0x861bb4c1, 0x3a12dcff, 0xceed5838, 0x51fac545,
+    0x46f6e7f8, 0x1f2ac402, 0xefcc4de7, 0x51554be6, 0x36d7d095, 0x3fb7b44b, 0xfce62521, 0x04ec9006,
+    0x391e440b, 0x9790008a, 0x72edbfd4, 0x924454cf, 0x0cd043ab, 0x8780e6aa, 0x0b53712e, 0x0be5046a,
+    0xd5318e38, 0x01a47d2a, 0xa6acf422, 0x3c399b82, 0xa73fc973, 0x69f4fc09, 0x28d271ba, 0x28327b43,
+    0xc7339e1d, 0x5ca31f54, 0xadcc0689, 0x713eada7, 0x66d78ada, 0xa2b4eed8, 0x9fa94016, 0x9647de3e,
+    0x8cd83fa4, 0x8a8bced2, 0xe9199231, 0xf14713f5, 0x93512b3f, 0x16d0a499, 0x078156ac, 0x79c73344,
+    0x810035bd, 0x0e4cdf59, 0x85e3a863, 0xe6d8dc3a, 0xcbf35de5, 0x6fe1e237, 0x17049d9a, 0xcf85ce70,
+    0x617926ad, 0xfe68bbdc, 0x59e89f81, 0xdc02e13c, 0x9aa51fb5, 0x16859555, 0x014a99dd, 0x038f6b76,
+    0xe25bc7ab, 0x6eb17aa5, 0x9b72dca0, 0xc119ca31, 0xbecc1b98, 0xf2875ba1, 0x4904d63c, 0xe3d83362,
+    0x38db26e6, 0x3244c426, 0x817a5090, 0x598289fc, 0xf1254a7e, 0xe83e669e, 0x4e233528, 0x69b21ea7,
+    0xaa8a2b9c, 0x69d721a4, 0xe08fa4db, 0xd1d5dc8a, 0xa950d2a7, 0xdac022b4, 0xfb7df3e8, 0x3fd38930,
+    0x5fda49e6, 0xaa5e2ca5, 0xe225cc06, 0xfe8b3ec7, 0xdec2b76e, 0x9993de92, 0x62218283, 0x54cb13a4,
+    0xaf1728c2, 0xad61903d, 0x7d836b23, 0x96dcf5f4, 0x29e03f84, 0xfc1d0001, 0x8cb147b7, 0xd1adba7e,
+    0xdfb74e50, 0xbac88aee, 0x73181a59, 0x2897e0b1, 0x47d7f9ab, 0xc5213522, 0xbe0840ca, 0xc11126c3,
+    0x9d384af8, 0x3a8aea0b, 0xdc5b304a, 0xa66a1274, 0x23a15d9e, 0x92b07b97, 0x8722a70c, 0x8bab04e4,
+    0xa4ca9896, 0xd955917e, 0x94878843, 0xd97e8c4b, 0x489682da, 0xdb9a71ec, 0x4b39972e, 0x1fdd2216,
+    0x22255ad8, 0x5d56699d, 0x66b66757, 0xa4c0988e, 0x6e646435, 0x0b8e9464, 0x5e3c4b3c, 0x1dc586a9,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000049039857307708443467467104868809893875799651909875269632 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea8, 0x07213149,
+    0x00000000,
+    0xdaa19ee4, 0x1acb94ee, 0x509907e8, 0xf078550a, 0x8777ee0e, 0xfe98077c, 0xc572ce01, 0x1ebb1875,
+    0xcb5f2a73, 0xa7471a87, 0x6dd7cc4c, 0xc407b109, 0x7ee81d74, 0xe93e1d78, 0x761eba61, 0x12bf49d1,
+    0xd1c77522, 0x3cee7520, 0x2ac3e596, 0x5a3d1f58, 0x7dbc281e, 0x166f431d, 0x70ac9256, 0xe0db66fa,
+    0x458d5a51, 0x365c1562, 0x45fd7e71, 0xa9474b5a, 0x971fccdc, 0xc443b236, 0x93bd63e5, 0xf69694a9,
+    0x647b6edf, 0xf0e09e8f, 0xa3ca8f54, 0x2847edd8, 0x3af060d6, 0x1705967f, 0x3b5a7cb3, 0x0308a8bf,
+    0x1b2c393e, 0xc305e477, 0xb70256fc, 0xc71d6b20, 0xd484e6fa, 0x6964ec4a, 0x7c74e464, 0x111994c1,
+    0xa28417d9, 0x332e8715, 0x78cb7fd7, 0x6b9c3489, 0x9b5491a5, 0x1b8e5ed9, 0xff639420, 0xbdc346b0,
+    0x173871ab, 0xfbacf759, 0x1e8396cf, 0x839010a4, 0xdeddac52, 0x72dd7b83, 0xae645631, 0x5ae4491f,
+    0xd56a37a6, 0x7678b997, 0x3b9137fe, 0xd3fd9439, 0xd2281503, 0xb4667404, 0x3ca43c9b, 0x486751ab,
+    0xaa9765ca, 0xc4bcb1be, 0xdeaa7afe, 0xe09af9cc, 0xb4700fc6, 0xb7c646f4, 0xaad8af91, 0xf45244ff,
+    0xcb1693c0, 0x3a36072b, 0xa243ac7d, 0x1e4dbe08, 0x7433d449, 0x10c8c267, 0x2ba9d459, 0x76b8b36d,
+    0xebdc0c50, 0x488c7185, 0xd2a782da, 0x006bbffb, 0xc5d1e9af, 0x9a678ea5, 0xb8bccef3, 0xb067f1fa,
+    0xf8257ac9, 0x63084c00, 0xc896ae2e, 0x5c124c81, 0x4b9e8c28, 0x57904bdf, 0x80387a36, 0x18c7d02b,
+    0x959cf830, 0x5ca952c9, 0x5d34cb58, 0x233fd384, 0x202b2f02, 0xfaac831a, 0x5a95a782, 0x685d7b66,
+    0xcadf82bb, 0xab1e2cec, 0x4c6af119, 0x3eac323d, 0x2a442f47, 0x307504fa, 0x701fd74e, 0x631d6091,
+    0xcb46a805, 0x682dff13, 0xee632e45, 0x601c1167, 0xf471fabe, 0xb8c60a21, 0x784d1297, 0x56a6fedc,
+    0x188b2e0c, 0xd06bc996, 0xfc2db215, 0x42b83c5d, 0xb47d422c, 0x32892035, 0x6253f99e, 0x05489cbf,
+    0x1aaa394b, 0x4cfd44cf, 0xdd3aa824, 0xee2a172c, 0xf694818c, 0x21edc721, 0x3e65769b, 0xe5fc3186,
+    0xb5a0dede, 0x447d9e30, 0x6a37ef23, 0xcc39f22f, 0x15cc11ad, 0x65ea5749, 0x5d519dfe, 0xb47d7f79,
+    0x16f3d50b, 0x1ac687f0, 0x377d6e7d, 0x4c583655, 0xd3ba269e, 0x30a9c809, 0x0d22bed1, 0x54e3b0c3,
+    0x6f95ac68, 0x544697cd, 0x7897f38c, 0xcab29ed0, 0xc2caf8e9, 0x5d783781, 0xd6eda37a, 0x07af6c29,
+    0x95304585, 0x98724715, 0x86567cb3, 0xd021c9a7, 0xb7d4951f, 0xbf8f782c, 0x03c89637, 0xa25d092f,
+    0x087a4df5, 0xa693a698, 0xb4a615c4, 0x77142ad6, 0xff769912, 0x3302e17e, 0x986359a8, 0xc30e9c79,
+    0x912ce5ac, 0x07e3bfee, 0x3c984afa, 0xac63c346, 0xae8e7e5c, 0x0bc7e6a7, 0x1bce6c40, 0x4eb39976,
+    0x3e954fe3, 0x7c6af940, 0x12485064, 0xf8912521, 0xb2378140, 0x202da7dc, 0x78b93b70, 0x09953307,
+    0x1f81689e, 0x57189371, 0xbf36ca0b, 0x773d6e58, 0x5f8e499c, 0x40aeb837, 0x58563868, 0x15de781f,
+    0xd7fc0f6f, 0x8474ebd7, 0x351de4b9, 0xe4a899dd, 0xde055fd6, 0x55ebd6f2, 0x2b967611, 0x2dd3bcda,
+    0x0aba4289, 0x68126f99, 0x09775d1c, 0xa1d4cd43, 0xd650da26, 0x3c59283a, 0xe8ef94d3, 0x447aba75,
+    0x796b529b, 0x4167ffae, 0xf7415be6, 0xd3a79499, 0x0b643fd9, 0xf3c38a00, 0x4a4d2835, 0x1bd9a7a7,
+    0x130f6777, 0x0ece8aee, 0x1ac43d12, 0xf8911421, 0x49d1a110, 0xca0099ff, 0x0a5dcd4f, 0x8ad78f20,
+    0x89ecfb1d, 0x714c4f6b, 0xa4e25974, 0x84b77c42, 0x04b57d7a, 0xe8c6efc1, 0x3a798c04, 0xd88b74c7,
+    0x430f45f4, 0xae4d8864, 0x30bb7c2d, 0x8ef20827, 0xee444566, 0xd56f74df, 0x23b77753, 0x4a4c06e4,
+    0x9d811676, 0xb91bfddd, 0xc964b458, 0x061fb7f2, 0x194fe04f, 0x508c7799, 0xa0e0193a, 0x271cdb74,
+    0x94aada94, 0x8af6d8ce, 0x2ef8c84d, 0x423f0fdb, 0x2efefb6e, 0x8f4e73d4, 0x7f17e768, 0x7fa14f70,
+    0x33283a44, 0xf4726a01, 0x53eae248, 0xbcf5be9e, 0x79ae9c2c, 0x78281332, 0xbab96a78, 0xe3e42aa2,
+    0x0ddb14fa, 0x594ca095, 0x0a3ecd81, 0xac5ecae3, 0xde9c36c5, 0xb7dc0498, 0x3ec23450, 0x37b1179e,
+    0x00e37abf, 0x355d9b8c, 0x61886e82, 0x63c03225, 0x1eb2045d, 0x0635ac6b, 0x319e3c93, 0xa0d39e95,
+    0xd360447a, 0xe366cd96, 0xd0d467b5, 0xb048ec78, 0x264cafce, 0xa43e2a51, 0xcbd8dd23, 0xda8855a4,
+    0x256450ae, 0xe73d0476, 0xcb5b5c84, 0x85f2d68d, 0xf13d124c, 0xc324c6e1, 0xca0ef1d4, 0xd4517682,
+    0x286891c2, 0x5cc652cc, 0xa5cf12f8, 0x73c2049f, 0x982d4603, 0x6821f761, 0xac820498, 0x217eb03b,
+    0x2b709a46, 0x6212852b, 0x411e34b2, 0x83bb8ff1, 0x63f3f1d2, 0x1578726c, 0xd4b365ac, 0x596521d7,
+    0x1e5ebdf4, 0x8db16685, 0x065bbe4c, 0x7a2c9fcd, 0xbfb3c582, 0x3f1d8efd, 0x3233fa40, 0x50bf2b85,
+    0x305f9c85, 0x23e02554, 0xef5a7403, 0xbc5ba584, 0x85dd8a73, 0x5a6e72c5, 0x4d05a474, 0x79e30748,
+    0xc914649b, 0xa56ee2e9, 0xa4f78ca4, 0xee5140f8, 0x4e38f61f, 0x7799bc5c, 0xb552e57d, 0x043c57d5,
+    0x083106c4, 0x08d2e443, 0xc320d6da, 0x6fcfdabd, 0x2dc9602a, 0x80f83d13, 0x03bab1ff, 0x2950bd7d,
+    0xe763fdf9, 0xa2be2d09, 0xe40bb29e, 0xf271cfec, 0xfb85c8cc, 0xddca2dc9, 0x0ba66d31, 0x868e8dae,
+    0x899a9e2c, 0xfd2fc2ba, 0x9d48c24a, 0x5bde3de1, 0xfcb062a8, 0xe001d4cb, 0xcd65214b, 0x8193260b,
+    0x4862391d, 0xcc770e61, 0x4b9fe7a3, 0x478f9dc3, 0x7bda63eb, 0x21f0ffac, 0xce792552, 0x77cb98c0,
+    0x9a6033a7, 0xc34ff45b, 0x126b40d0, 0x25744312, 0x57b87558, 0x860e7d91, 0xd68c3f95, 0xbe556cfc,
+    0xd23fc006, 0xba3c2779, 0xd98f4e72, 0x71d49f97, 0xa1b116d1, 0x3c822511, 0xd2cf8267, 0x7e6bc531,
+    0xdf5de2d3, 0xa5da27ef, 0x48b36de8, 0xa80a4505, 0x45274e5b, 0x82639f6c, 0x84d42e66, 0x18630406,
+    0x43fba8b8, 0x590cb48b, 0x07d30f46, 0x87d891aa, 0x0f8fcb48, 0xed3484ff, 0xcca23b1e, 0x4c028aec,
+    0x5c14b3fc, 0xed8e5af4, 0x856b6a0d, 0x4f9e7b81, 0x93ac18df, 0x8d4fc908, 0x45d689d5, 0x51b6e8bd,
+    0x1c9a1026, 0x07b5591a, 0xb5ed26c9, 0xb15c57e6, 0x89597ad8, 0x0597f774, 0x6d4a96a2, 0xcf8a5853,
+    0xd33d81b7, 0xc3011403, 0x05257855, 0xc6447f56, 0x21040c63, 0x6988df88, 0x3a896d12, 0x4e3ebc9d,
+    0x5035f5d2, 0xc6285c22, 0x6d3475c3, 0xef96fcf3, 0x8068fde6, 0xcfd4e621, 0x94ffa229, 0x55ab2525,
+    0x2e3f42b1, 0xff597f69, 0xf2164983, 0x85e1318d, 0x0ad0bbc8, 0x8a2fb0bd, 0x721969dd, 0xcc90b4df,
+    0x3a764d3d, 0x4b854f20, 0x4bcd1305, 0x5211f955, 0xf31406dd, 0xc9ce3d63, 0x2c40db62, 0x951aaafd,
+    0x77e70acd, 0x0fa8fd37, 0x474ff8fb, 0xea8cb422, 0x0febee1d, 0xcb70f064, 0xccf184d0, 0x8b40b41c,
+    0x67514977, 0x1d64e584, 0xcc8f6ffa, 0xe9959ee3, 0xb4308b7b, 0x57ad54bf, 0x32af7bbf, 0xf24ab652,
+    0x36811dc7, 0x7b49833b, 0x6cede731, 0x58f0344d, 0x76d23cf4, 0x049f9d19, 0x335be715, 0xb11a8689,
+    0xee12d60c, 0x89aae51d, 0xc84a64e7, 0x04aa3a0e, 0x7493bed7, 0x30835a83, 0xecf9f523, 0x58121e45,
+    0x1b8d04b6, 0x18866612, 0xb87821c3, 0xfd22c9b0, 0x7ddb5b4b, 0xdbcab841, 0x66c0c7d7, 0x4da5cd32,
+    0xdd4cd4c3, 0xf0ccbf1a, 0x13c15bdc, 0x49b857a2, 0x196f4280, 0x8afb5e2c, 0x5b7ad5d0, 0xf68b0c79,
+    0xa7c49caf, 0x7c484773, 0x5f58f1c4, 0xbac6a321, 0x5b133ecc, 0x0fdcd743, 0x53cfac50, 0x2269b98b,
+    0x9332d72c, 0x61779f3c, 0xe06840ef, 0x89882790, 0x20623d6b, 0x45ae8fc2, 0xbcf7dd96, 0x2f252992,
+    0x26641a76, 0x27e5e6df, 0x546696cd, 0x4d3719f6, 0x6edc6f7f, 0x98e5cdc7, 0xbf469165, 0xa6e6a74f,
+    0x39180c77, 0x36309f72, 0x8e28fb3a, 0xdf38273a, 0x6b9ccc44, 0x25ae7af6, 0x274819e7, 0xd8af7ef6,
+    0xdf878855, 0x9f848b90, 0x667d7d3d, 0x3875c214, 0x4bcdeb16, 0x55520356, 0xe696e36b, 0x06ddb7a3,
+    0x4e50c285, 0x55fd962b, 0x347be8b3, 0xb00de3e5, 0xe6011430, 0x3df978f7, 0xc4a80631, 0x655bccc3,
+    0x5d7da684, 0x36e3c5f1, 0x9cf4beeb, 0xd141e83f, 0x2f7b53c8, 0xebe0ff88, 0xaac6d84e, 0x11ef5f66,
+    0xbb492482, 0xfc126f2c, 0xf9a939d4, 0xdfc8e8e8, 0x90d66a0f, 0xc0767f99, 0x142661e5, 0x4429280d,
+    0x09b2d6d3, 0x4da5693c, 0x1fe1887a, 0xebd2b733, 0xb4bddbfd, 0x17481750, 0x48eca224, 0xdb4f89b7,
+    0x960ecab9, 0xea3f89e5, 0xea892b56, 0x9513b256, 0xbd2b05e6, 0xb47d34f8, 0x9735e6e1, 0x9285f168,
+    0xcdb9e26d, 0x4b6b9a96, 0xad85b4de, 0xed25dc66, 0x36549459, 0x97b2ab15, 0xfeb829a5, 0x5086fb22,
+    0x66dcc9c0, 0x3d0f2763, 0x10c20b1f, 0x549770a2, 0x7e2b1096, 0x7664e0ac, 0xea94dc3f, 0x0191d44a,
+    0x8606d167, 0x0ea6c652, 0x65bafddf, 0x0f7fb600, 0x30f4a77b, 0x115aa172, 0x5b641df8, 0xc29be681,
+    0xfb677551, 0x4df86f53, 0xc9117d86, 0xcb6ae0b0, 0x385242c5, 0xade8f8d6, 0x1d11692e, 0xa729714b,
+    0xf78d5cc1, 0xc8abda60, 0x0c9d9994, 0x60698142, 0x772ee570, 0xa06fb98a, 0x454b5fb4, 0xeabb4558,
+    0x77439115, 0x54bc6976, 0xb754d56e, 0xb6ca3c81, 0x9a9276d4, 0xf7510181, 0x627f308e, 0x8908456d,
+    0x65624f92, 0x49b4c311, 0x29b503f2, 0x4d1a2d38, 0x78d92985, 0xde7350c6, 0xe7d12b98, 0xdb3d75ed,
+    0x7b4ce0a4, 0x2904f2f5, 0x6d3e8f58, 0xc0b694be, 0x2b80e597, 0xccfe6e2f, 0x731162f2, 0xcdb2d501,
+    0x51bfa83a, 0xc1ef6173, 0x8afb60a8, 0xc1779ede, 0x4a83365b, 0xad0a8203, 0x70c72ad1, 0x8ae03121,
+    0x06d9bc5d, 0x859ae368, 0x7b361835, 0x64fc3589, 0xeb77e6a2, 0x6a5ae25d, 0x02e406ee, 0xd78b5b9b,
+    0x36bd72d4, 0x03c44557, 0x0a55ae04, 0x084bc92c, 0x95a0375f, 0x7fa3f685, 0xaf84450e, 0xc7089c3b,
+    0xe32b4c6d, 0x55c146d8, 0x2b5a0df1, 0xcb66e138, 0x3fee8443, 0x48dd05ed, 0xb8ecc40a, 0x14d8913a,
+    0x1c31ca7c, 0x29dc99fc, 0xe8d962a6, 0x337e9ced, 0x01a084fb, 0x36bcdf29, 0x77c2bf36, 0xbb084211,
+    0xcedd64ce, 0x5faae544, 0x36f543fe, 0x27698293, 0x42fb3ef7, 0x886e6019, 0x79c1c541, 0xc7588424,
+    0xe2f7358d, 0x225554cf, 0x0f35c81e, 0x6138a38f, 0x13fb220f, 0xa8df84fe, 0x6cdde713, 0x1d32a252,
+    0x577a657d, 0x35bbb67e, 0x321a8fcb, 0x3adf8a8f, 0x58e87693, 0x6c523cf3, 0x2d66dbbc, 0x0ddb9c7b,
+    0x724b3bbd, 0x9681ad31, 0xba04bb1e, 0xeeb33e62, 0xc8da6ab7, 0xa3c57574, 0x125c3d8b, 0x2e72286a,
+    0xc87ae240, 0xddabb682, 0xf1b45c13, 0x0b2b24dd, 0xab70d30a, 0x86ad4c7a, 0x588465f3, 0x780230d0,
+    0x34349c0e, 0x01d45457, 0x6655e72c, 0xa7420700, 0xb99003bb, 0x2364c17f, 0x7ef60001, 0x3522f106,
+    0x4e80040b, 0x8efe4774, 0x9400dfb2, 0x370217f4, 0xa7c6527e, 0xab24fa6c, 0x31652880, 0x193bb891,
+    0x41c42b08, 0x31c0aa3c, 0x254f9f23, 0x0d84c105, 0xa16c4a23, 0x21208623, 0xc1fbff08, 0xace22d5b,
+    0x3d098714, 0x2a7dd291, 0xd3a7e5f1, 0xb66e281a, 0x9f5bd4ee, 0x03038556, 0x6eaf2380, 0x36c2f87e,
+    0x537a33c1, 0xbdc70dfa, 0xef64ada5, 0x51e7e271, 0x03fcb42f, 0x008cb7e1, 0x42d100be, 0xeea0db1e,
+    0x97959928, 0xa8c2e0ed, 0xb508ddaa, 0xbf9b2118, 0x1a458289, 0xe365554b, 0xd11bf519, 0x43c48525,
+    0xc95bb811, 0x66d2b11e, 0x48da914c, 0xa7882b86, 0x23937f92, 0x83b169a3, 0x62c659cc, 0x6553560b,
+    0x4b61d24a, 0xfbc6fff0, 0xa33ab3b4, 0x68a0d731, 0x288d4cc9, 0x1be4357c, 0x2b479e45, 0x51fe3e37,
+    0x49c6f871, 0xe0a73586, 0xb0ea4823, 0xfb58ea1b, 0xb685dd9d, 0xca66ea07, 0xf796d9d7, 0xcf0159e1,
+    0x4e537d79, 0xd6f56d3a, 0xb9c6642c, 0x2f71a9c5, 0xa8833a5e, 0xd9ec5e2a, 0x61e31be4, 0x7e89e436,
+    0x0de77601, 0x142cfbf3, 0xebd22104, 0x6da6e301, 0x3405c6b1, 0x34496d9e, 0xb48f2ca4, 0x7a80655e,
+    0x5c682c4d, 0x990a3fcf, 0x80a619c7, 0x4038a5b4, 0xa87b66e9, 0x47195f6b, 0xab9c1dfe, 0x07b70e76,
+    0x3fda4a22, 0x2cc58119, 0xb947d628, 0xa7dfa3af, 0x133a3cc3, 0x642828e6, 0x0918dd7d, 0xa4b8b9c6,
+    0x486ff43a, 0x0d05f6a2, 0xa3d50722, 0x95e0233f, 0x7e49bb46, 0x342fc977, 0x31d13e94, 0xec2e8df0,
+    0x5b5405c1, 0x24153599, 0x1b9c22fa, 0x86ac4809, 0x511f4adc, 0x5ba617ea, 0xa55ba23e, 0x0aaf1ad5,
+    0x8bb402cd, 0x6d01fa8e, 0x72ddea0c, 0xf2830dc0, 0x234492aa, 0x6b2c8804, 0x1d439325, 0xe606ffff,
+    0x71f7b6ab, 0xc35bec00, 0x63b81d15, 0x4a90bf97, 0x51d41a3a, 0x6e366a3a, 0x5c173b89, 0x78e25aec,
+    0x8af7a5f6, 0x4a42081a, 0x3db909e2, 0x5fbe4663, 0x5a9e4c5a, 0x69176adb, 0xa2be4afc, 0x7c93f12b,
+    0x009f408f, 0x8b85cad8, 0x5196af84, 0x5e727abe, 0x1662d21d, 0xf4f58528, 0x39f31835, 0x6176c963,
+    0xe99b1868, 0x1afad011, 0x8113ec4e, 0x49012296, 0x9b36eb95, 0x257814e9, 0x24668759, 0x6734ea29,
+    0xd378e75d, 0x83080a66, 0xb63a2410, 0xf1a01694, 0x4cb63800, 0xadcb67f3, 0x1290ee76, 0xbdc71771,
+    0x21c0e9bc, 0x9b4fcfe0, 0x6a694373, 0x21f4ae3e, 0xd4a87f1f, 0x564fc585, 0xd3710789, 0x01b9cb07,
+    0xe3a4f5e2, 0x5d9efb0e, 0x870e371e, 0xf35bb6eb, 0x5df240e2, 0x3a682199, 0xbd37367f, 0xa29eba43,
+    0x481a57f9, 0x4f9db0cb, 0xe43b7bb9, 0x285f4264, 0x5c5b3ae6, 0xf486f459, 0xb723ae7e, 0xdf419661,
+    0xbe1a4a7f, 0xf6c379b4, 0xeb5dc6c6, 0x0ebd1ff9, 0xa1123b08, 0x819382d5, 0x61d8ad9d, 0x7c7938d1,
+    0xb3c7fe16, 0x93c2729e, 0x2c3172be, 0x729dbcc3, 0xa3899724, 0xe74f531f, 0x2e86340b, 0xf367dda0,
+    0x55097f7a, 0xd374f1c4, 0x84b8a4b2, 0x7580873c, 0xab6fd694, 0xbc5a03bb, 0x4d66de18, 0x38de9d06,
+    0x674c4b36, 0x2007075c, 0xaada6e55, 0x1dd32a32, 0x6d92a37e, 0x857dfac5, 0x4a120793, 0x50281a3b,
+    0x569c6dcd, 0xad5141a1, 0x7481467d, 0x44c44281, 0xc9e58aad, 0xbc298502, 0x373e302b, 0x97d2f8e2,
+    0x86a5aa22, 0x01d43fe0, 0x5b05a529, 0xc7ce4acb, 0x30436de5, 0xe0b23c2c, 0x5284abac, 0x2bc637c7,
+    0x71b1d129, 0x79e1d4d9, 0x6c521f9c, 0xa0f8d2b1, 0xfc191fd1, 0x208433d9, 0xd4f319ae, 0x4ccf78f4,
+    0x7f7534c7, 0x287fed1a, 0xd399d3d6, 0xede1d53b, 0xb486f96d, 0x6254dc53, 0xe87fdbbd, 0xe180ff00,
+    0x6271112b, 0x6e3915f6, 0x5edefe8a, 0xfd867538, 0x2554ed6c, 0x2c9bd1a5, 0x91941758, 0xce59c212,
+    0x0496fab6, 0x5b3fc107, 0xdce5d9b1, 0x46815bb7, 0xb419c149, 0xc5c805ce, 0x2623d153, 0x11f878e3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000024519928653854221733733552434404946937899825954937634816 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2754, 0x039098a4,
+    0x00000000,
+    0xa7495f5c, 0x617c8cd5, 0x385b6c63, 0x9fd313e9, 0xcfd92b67, 0x8282bf7c, 0xd9fa4019, 0x359fb0ef,
+    0xd2e17def, 0x1be83be7, 0x51e2ec55, 0x637eeb65, 0xc564e1c1, 0xb6cd2437, 0x4e6365e0, 0xc5caeb60,
+    0x37f050f6, 0xf94a6246, 0x257d9f9e, 0x5e9cb502, 0x9a1a67ae, 0x7ed0f5b7, 0x5c04bbee, 0xebd58d99,
+    0xf9477f1d, 0x0c723572, 0x7a837684, 0x1524d98a, 0xd960eaa9, 0xfeb19561, 0xdca0d6e3, 0x3e9405cc,
+    0x628b1c80, 0xf265a64e, 0xf6d702b6, 0x73c9acad, 0xbcbfe893, 0x033731e0, 0x0e6aac76, 0x1bc6b2b2,
+    0x2d28c323, 0xb7cf0d7b, 0xc58e4c7c, 0x478a6890, 0x9d0f8d4b, 0x60007c3f, 0x8876e751, 0x243c1606,
+    0x9944651a, 0x223657fb, 0xd7d56379, 0x729e8e88, 0xc4078364, 0x448ccc59, 0xaf4ba045, 0xe75a5920,
+    0xd5358580, 0xeae21a7a, 0x36cd1d26, 0x5379ecab, 0x97015866, 0xe7740294, 0x9549b401, 0x2a03a26a,
+    0x5b180709, 0x061e8097, 0x0fba4665, 0x6811f728, 0xd7cdbcfc, 0xd2b8b2e9, 0xc3a2180b, 0x7798e617,
+    0x96b20cb7, 0xdeef2c73, 0xeda0fde5, 0xfc12aab5, 0x8eac7f56, 0x5e6ce675, 0x1f000a9c, 0xdadf679c,
+    0xd3f83768, 0x541e9d6c, 0x27aeba9a, 0xa3f28d6e, 0x1ad01dd1, 0xc7690e5d, 0x4103a46d, 0x3350835f,
+    0x18c06863, 0x8818dc54, 0x54f7a776, 0x8cd9961e, 0xaeb17c4d, 0x0cf7f3fb, 0x4d62cd95, 0xb99d5b6e,
+    0x57c3ace9, 0x751ba452, 0x82d0e01a, 0xc34184d2, 0x94c29653, 0x778612bf, 0xa35b7ae1, 0xa7642bfb,
+    0x849dd665, 0xf612bc9c, 0xb99bf0cb, 0x8d802b48, 0xc3d44b5c, 0x26de1dfc, 0x89d8ea7e, 0x8aff71b9,
+    0x51490bb4, 0x165d4fb8, 0x515404b2, 0xa0b938d3, 0x018d9280, 0xf2246f9f, 0x455c3044, 0xd5db2dd5,
+    0x99ce7712, 0x3651cdc6, 0xcea7130c, 0x40ba1882, 0xe8541073, 0x4d3c9283, 0xaabe12aa, 0xf526e89c,
+    0xe20007c2, 0x58ac8942, 0x22897d87, 0xbf281966, 0xe03ef6d5, 0x5a8f3462, 0xd89396bb, 0xa8f8fa54,
+    0x400ef261, 0x3e3beed8, 0xcb9c4ceb, 0xfd1df77a, 0x1d3f9bbf, 0x41fe6550, 0x66ad310c, 0x9bccc729,
+    0x8564f5ee, 0x36e49839, 0xd3c2215d, 0x50256639, 0x4622b367, 0x81794701, 0xf633d197, 0x3210b9cf,
+    0x8cb2c0bc, 0x2c62e143, 0x92734c49, 0xd7a5632f, 0x8ba54213, 0x30cc3d46, 0xe2aa2d86, 0x04ef9ca7,
+    0xd37bdd6c, 0xb6fbbc86, 0x55652258, 0xb58d9b24, 0xe3e995c3, 0x5319dc79, 0x424348c2, 0xf903c7ee,
+    0xe0061e7e, 0xa23705fa, 0x2a051f06, 0x25e2b2d5, 0x763887bd, 0x0ab553b6, 0xbcc182f1, 0xfef725d6,
+    0x65255ae7, 0x90da66fe, 0x114e6244, 0x60fb16cf, 0x68d638f7, 0x40b375e8, 0x28dd08c2, 0xb5db4fe2,
+    0xbbb17d52, 0xf7d92508, 0x7f192cfe, 0xd6b29a58, 0xc343d08b, 0x03361c11, 0x5dc6739e, 0x3d0e8594,
+    0x58edb1bf, 0x580851ee, 0xf265554d, 0xfa444abd, 0x2bad93aa, 0xbef703d5, 0x30fc2f7d, 0x6efc3ede,
+    0x0cdccf8e, 0xc4c312c7, 0xeebaba07, 0x5bed1f8a, 0xd3a91931, 0xc570601e, 0x86ff4242, 0x4421a756,
+    0xfa35df9d, 0xfae666d8, 0x5c4be202, 0xadd486b6, 0xe6eb15da, 0xc1810be5, 0xee0b3f51, 0x822dcafa,
+    0xf4cb686c, 0xb40939bb, 0x00695ea8, 0x789b180b, 0x7dc303e0, 0xe3a13435, 0x83c3b9c7, 0x12fd64b7,
+    0xd518bc15, 0x2fc372b3, 0x455160f5, 0xa497b913, 0x7df6e7d2, 0xb54d413e, 0x2c5d6150, 0x52eef252,
+    0xfeecdfcc, 0x059aee26, 0x9f3088ec, 0xde20c277, 0x0c8f5d6e, 0xa38cc014, 0x57405802, 0xa7ec8ed8,
+    0xa9b08d6a, 0x5f558865, 0x14647abf, 0x61ede758, 0xce81c868, 0xa7d64798, 0xd270bedf, 0xc2c6469b,
+    0xe76514a5, 0x9c9a345e, 0x930f6ef1, 0x2ef928e5, 0x52d05f0b, 0x75a3fbdf, 0x0c4a6d36, 0xa5869f0f,
+    0xa1cab93e, 0x88272fed, 0xb4afb4cc, 0x67875bbe, 0x8653608d, 0xb7775c70, 0x74cca2c5, 0x372310de,
+    0x445b7ea5, 0xbe410e0d, 0x8355d7a9, 0x9d5ad5b0, 0x311af5e3, 0xf0e6a50e, 0xaa77e896, 0xfb8429dc,
+    0x3e5862b8, 0xd4cd918c, 0xadfb1ebe, 0x56fd4942, 0x835a45b5, 0xa8b74c03, 0x7f16be05, 0x6b33485c,
+    0x3fb9ee04, 0x9105847d, 0x0635b9e3, 0x70f97780, 0x8090c471, 0xf4fe0c60, 0x577f49e5, 0xf3fd671f,
+    0xf16a1b2b, 0x3f1bd3fa, 0xa611b540, 0xfa385002, 0x3d88fe10, 0x99f2488d, 0xca90e666, 0xdf0fce88,
+    0x71aaadb4, 0x87ea1d65, 0xdb7b0d1c, 0x4be043b4, 0x224ef8fc, 0x6f7b15a7, 0xc2a27120, 0x1416d43b,
+    0xc6b30c4b, 0x96224cb8, 0x33f0096e, 0x1cb3fb6f, 0x4ab1f46c, 0x67254e7c, 0x1ed5c7b4, 0x958060ce,
+    0x15cf21bd, 0xca8819b7, 0xebc1abfe, 0x9f76185b, 0x39463b71, 0x93e42ab1, 0x16ba5040, 0xd66d9b21,
+    0x452acd34, 0xfe12c5b6, 0x0fb6a754, 0x30c44a09, 0x67e0d602, 0x51b7c65e, 0xb34df312, 0x655332f3,
+    0x047f8df6, 0x722fa172, 0xbaae3af6, 0xed24aba3, 0x9e1fc119, 0x4c965a6a, 0x0a19093d, 0xd281bdae,
+    0x0d15bb30, 0x32b0a06e, 0xd10a130c, 0x11888c9b, 0x14872284, 0x59c86d8a, 0xea4f7e88, 0x68a30469,
+    0xd72ba675, 0x324cf5f3, 0xf916f88d, 0xf83cb5f3, 0x5e919a8d, 0xb9675905, 0x85e29414, 0x63579db3,
+    0xc3ed50d5, 0x40dba904, 0x715202ad, 0x893620d7, 0xef719762, 0xfbf11cf9, 0xf91297bc, 0x0b2085a0,
+    0x2085d5a6, 0x743ec82d, 0x7f943dfc, 0x4e0eba5c, 0x74a14407, 0xd16988ca, 0xe044a629, 0x9e19b6da,
+    0xbd293164, 0x0fb859aa, 0xa9666975, 0xc9882b81, 0x158cf8c2, 0x75bf95f3, 0x55ddd276, 0xe8680953,
+    0x4a3afd4c, 0x76d8f788, 0xebc011b4, 0x8bc9d0a6, 0xc78d458b, 0xbea99eb4, 0x329f90ad, 0xb3e10b86,
+    0x3050f0dd, 0xda5381cf, 0xc4f57940, 0x759a434d, 0xbaa4b981, 0x1a8867c4, 0x5864d7fd, 0x2763740f,
+    0xc9d73c78, 0xc5abad86, 0xf67e4976, 0xb4368553, 0xe92659d2, 0x5730ce9b, 0x0a345fab, 0xa693f03d,
+    0x30ca5c4c, 0x51781ab0, 0x8ea7d386, 0x99581f3c, 0x78ac07a8, 0x4bef107a, 0x747105a8, 0x58284a03,
+    0xdb36b483, 0x4f31d1da, 0xaca79e9a, 0x21c26eaa, 0x5c86ce6a, 0xc28f52b4, 0xa9621a53, 0x8ea1b3d7,
+    0x90f0e85d, 0x393bb564, 0x066d20b4, 0xb22c5bb2, 0x5a69dad8, 0x740946b0, 0xf9466809, 0x5cdc9887,
+    0xea0e27d3, 0x8eb870a5, 0xa79cfb0d, 0x288d9207, 0x80d4bbff, 0x8bf58237, 0x2ea8496e, 0x5985e02a,
+    0xdb29ec07, 0x22798888, 0x053a61a2, 0x7e704444, 0x8dc543ee, 0xf63e38bf, 0xee7cb0c3, 0xd41717eb,
+    0x5b406023, 0x6e411e67, 0x200807c3, 0xfca9b51d, 0xf6dd5291, 0x600debdf, 0x51bb2e1f, 0x90a6a04d,
+    0xbd57018e, 0x6bdd4e4a, 0xa24a3e61, 0x889cc34d, 0xcc6579ab, 0x1cf5b002, 0x28e0f6b2, 0xfe062e95,
+    0xff935024, 0x787a1e0e, 0xca0c6a49, 0xff095404, 0x1955e99b, 0x49980968, 0x741d489c, 0xf4b9c68b,
+    0x5a895de9, 0x30f4a9fb, 0x10a9b49d, 0x9b78e7a9, 0xd6e09cbe, 0xd54a98f0, 0x67761cf0, 0x435cba44,
+    0xef4e828b, 0x3a79349e, 0xee7a65ea, 0xb8ff1c41, 0xf090c696, 0xdffa7049, 0x59330cec, 0x5a648648,
+    0xd4755fdb, 0x15a92c3e, 0xc978e191, 0x10eb2c47, 0x85f6c13c, 0x64b7a03a, 0x56b885ad, 0x086b8aca,
+    0x955297db, 0x7301ec66, 0x0b68d322, 0x64c1357c, 0xc133d3d5, 0xb87b548f, 0xe797061a, 0x0ac767e8,
+    0x563bc8a7, 0x9849cb29, 0x49570531, 0x03b001f4, 0x6a7f72ef, 0x903d0470, 0xbc930408, 0x8431e9da,
+    0x1c53ac69, 0xbd75664a, 0x68025762, 0x7c18d63e, 0xdfaaaea3, 0x7e556f27, 0x42149ee0, 0x5cc574f8,
+    0xdf93ac9d, 0x23482de0, 0x228794bb, 0xba792ba8, 0xd4fe5d1c, 0xde000291, 0x74e4e16c, 0xffeeaa10,
+    0xaac21222, 0x1bff6696, 0x28d1a434, 0x29f8be7e, 0xb5498d98, 0x5b92455f, 0x9f67ae20, 0x86de0bb9,
+    0x8147fd6e, 0xbacf28de, 0xd0c18478, 0x1e946d48, 0x8c22b7b9, 0x087416a2, 0xcb1034d3, 0xf71511c6,
+    0xfd776ad1, 0x1361c1ff, 0x8c368b85, 0x9784d525, 0x0a69bbf8, 0x10f8a34c, 0x13947acd, 0x1dfee09f,
+    0x4bec6f5c, 0xa1ecfa9c, 0xeea80fd5, 0xe5ab42cf, 0x8b233844, 0xd6e92d7c, 0x039142db, 0x66beccab,
+    0xfe0999f1, 0x1794a2a4, 0x2613d5c8, 0x131c31bb, 0xbf27ea7f, 0x41fd7dce, 0x737ba751, 0x826c75b4,
+    0xd2a911c6, 0x086dce8f, 0x07b4796d, 0x2f519ba1, 0x8d4e169e, 0xf5068e0e, 0x4a8ed88a, 0xc2c5289a,
+    0x6cbdb948, 0x180b1d83, 0x93227fc5, 0x986e594d, 0xbc806bed, 0x3667f1c0, 0x42fa78a1, 0x57b2c1c5,
+    0x5dac61b7, 0x9a6827f8, 0x283b4edd, 0x46c3a5a6, 0xd623910c, 0xa80122b7, 0xd5561d3c, 0x9eafb675,
+    0x0acbe48f, 0x45028d96, 0x788adbb7, 0x9641095c, 0xe82c4955, 0x18679756, 0x39f6f43d, 0xbf8d8294,
+    0xb601c745, 0x8d7ef91b, 0xd2555f27, 0x39eb9972, 0xf02fbb69, 0x7ae77bfb, 0xe5dc0fee, 0x3d5c4f70,
+    0x52fb18dc, 0x0472db15, 0x158f99ef, 0x73832976, 0x750ac09e, 0xb74bd611, 0xeabae97a, 0x91d9db2b,
+    0x7f000c00, 0x43c00144, 0xfe686df2, 0x4c15dffa, 0xeb44d41b, 0x1ecd0b85, 0x2f39e17f, 0x3a97890f,
+    0x9a0844da, 0x9b4a3b75, 0xc6d9b927, 0xe59d93a2, 0x14449cad, 0x6bb99826, 0xac12e776, 0x81d3d9ca,
+    0xec07b169, 0x42367f91, 0xded93971, 0x0dc317d8, 0x22e3a790, 0xa7bd9ebe, 0xa5a0f954, 0xc251ee69,
+    0xfa86d8a8, 0x48ed1aa7, 0xb09f0e4b, 0xf6d9653f, 0x23008c89, 0x63deb5ce, 0xfd88318f, 0xb13b5a03,
+    0xe67c4cf1, 0x901fb804, 0x4abe18b8, 0x3d3a7b1b, 0xa932c724, 0x5f19e922, 0xbc1154b8, 0xdaaeca20,
+    0xaeba244e, 0x2644ff14, 0x52e8a315, 0x5d342b4a, 0x7e08ec76, 0x8354b67e, 0x4a195fb1, 0x87d381ee,
+    0x6e0daa68, 0xa8f93ccc, 0xccb9c77d, 0x834544a3, 0xdc86c7c3, 0xf8c9ae51, 0x51a94ded, 0x90e28ca4,
+    0x50b4b1e6, 0xe9e4b35a, 0xa93a45b1, 0x29ed776c, 0xe21de622, 0xd1bbe8ef, 0xd7c4b698, 0x0e63769f,
+    0xf8fe3204, 0x0d3847f7, 0xa79f12da, 0x41df244c, 0xebfbcdc8, 0xd9a29f6e, 0x110d4a56, 0x6555a030,
+    0x3a6c5696, 0xd2b8193a, 0x84b3ffaf, 0x71a55005, 0xe1389f58, 0x65cb29fa, 0x192794d0, 0xa1ac1052,
+    0xf3658b73, 0x75942fd9, 0xa4efd447, 0x8b0919a6, 0xc986c103, 0xe6118225, 0x95288771, 0x4454633d,
+    0xd1035b4c, 0x1ab8ac19, 0x72d3620d, 0xe1317b2e, 0x5d6aeea8, 0xc571c010, 0xab7bcf5c, 0xad44b065,
+    0xbc3516ec, 0xd923b596, 0x1e51307a, 0xa44ad804, 0x374feb9f, 0xe2f2bb17, 0x306c9615, 0xd7223625,
+    0x472f8ee0, 0x6cbfc3ab, 0x91783667, 0x49e9bcce, 0x68749d9f, 0x50d5f81b, 0x8028bea3, 0x81802a3e,
+    0x25477629, 0x8f333610, 0x3f10a2d3, 0xeb5b2b92, 0x7a08ca6a, 0xce502e78, 0x2beded93, 0xb6aad5ba,
+    0xbe702b1c, 0x06709e72, 0x0e1f33ce, 0x615a7ad7, 0x4e61f622, 0x99eba231, 0x9bbc8f24, 0x6f683530,
+    0x462cc29a, 0xd0c4879a, 0x0fd221bf, 0x773599b0, 0x5a576f4f, 0x7df99e19, 0x7a7af061, 0x06efea7a,
+    0x9a62b674, 0xbf1e0a75, 0x181517e7, 0xe4bbd6f5, 0x18b93bdb, 0x96c391b9, 0x9268057e, 0x85b75ffb,
+    0x70ba1db0, 0x19f2a9f8, 0x49decad0, 0x84ef9896, 0x21a897cc, 0x0c23dffa, 0x1c142f23, 0x9842edb7,
+    0x0657ba26, 0x00bfd26c, 0xd3ffd568, 0xab97a4c9, 0xa921e1be, 0x7cb44c72, 0xf33835fd, 0x57ef6e70,
+    0xd6d838ed, 0xc1c18705, 0x023dbaaa, 0xb200f143, 0xd55ef8be, 0xb754f808, 0xa6dbc5fb, 0x0daaac1b,
+    0xc2f0427e, 0x78338131, 0x82f7fef5, 0x7cea3366, 0xf51cd652, 0x70572733, 0x37440746, 0x3bbbc976,
+    0x3fd4ec0d, 0xb895ecd6, 0xc1435030, 0xdc1b7e07, 0x1fa90ec4, 0xb81298a5, 0xfee3d9cf, 0xd4f6a317,
+    0x5d7ca557, 0xf67ca7d6, 0xc98a03f6, 0x52e36b3c, 0x2e78b6da, 0x3a64a789, 0xf970df08, 0xc347ca22,
+    0x2094ada9, 0x2bb440f3, 0x2e61229b, 0x5f572bca, 0x25f9c495, 0xcf524a05, 0x0d0acc29, 0x0ce50c4c,
+    0x0711f748, 0x16697545, 0x5c86b2c5, 0x96cc7564, 0xaa0c88f9, 0xc75881b9, 0xd63ab216, 0x1814000b,
+    0x2e24641a, 0x39c288ef, 0xda499f52, 0x675cce3a, 0x2db3c36c, 0x61bf0956, 0x53029aaa, 0x61b88b0a,
+    0xfca76b05, 0x9e51155e, 0xfc3528a7, 0x021bd693, 0x8de2e92a, 0xd98ac644, 0x684f0349, 0xb4e1b658,
+    0x17b11d40, 0xb097f2b2, 0x2e90e1f4, 0xced49f39, 0x77da0205, 0x246fc470, 0x6d9939bc, 0xd3ff73c2,
+    0xad81adbc, 0x37fb33e1, 0x348321b9, 0x52e0e16b, 0x3dd8a973, 0x71b2a762, 0x8f7918ea, 0x2a4085af,
+    0xf50bddfa, 0x601cd05d, 0xe10948a1, 0xb2c66ed8, 0x217834c1, 0x0d53318b, 0xbf4f42c7, 0x658b2688,
+    0x5c148d21, 0xb0b68a3c, 0xe4c34baa, 0x187e337c, 0x60aa84cc, 0xd07f0b54, 0x797cb3e6, 0x8eccf20c,
+    0xd1198174, 0x68a599aa, 0x390d1d20, 0xdb584cda, 0xb32384d9, 0xe70a4ad7, 0xb1957ea4, 0x17ab198e,
+    0xc2aae265, 0x840ce4f5, 0xc9c070fc, 0x2246d7f1, 0xfe8724e6, 0xdb090a4d, 0x769bbd58, 0x5fe40198,
+    0x094f927e, 0xe6262bcd, 0x2f5189c0, 0xf1388669, 0x784c92fe, 0x80375a9c, 0x3fe8ff29, 0x4ef6b77b,
+    0x939e8ac9, 0x94e73eba, 0x7f5eaae3, 0x8558a503, 0x459f3b1c, 0x4f420597, 0x765290a8, 0x494c7422,
+    0x7a5ea76e, 0xb9936f3f, 0x43c2a0e6, 0x4e680298, 0xe95987b9, 0xc3bf71e8, 0x368e7289, 0xe670cb0f,
+    0x1e8f0dcc, 0xc04bcd85, 0x22d38777, 0x95ccdd83, 0x4d153929, 0x7f59fc5c, 0x4a9baa03, 0x68bf74bb,
+    0x3cdcb3b3, 0xf7f14bf5, 0x3924548a, 0x5fc45bca, 0xe5636820, 0xe48c22fb, 0xeef13b07, 0x09387bff,
+    0x89aae85a, 0x0b1e3937, 0xfb8e7005, 0x3ecaa8e9, 0xf4bb49bd, 0xd104efc9, 0xc186fbf4, 0x057d8647,
+    0x99716907, 0xc4f792ef, 0x18aa4dba, 0x90bf88a4, 0x0ee3b2df, 0x268eef14, 0xbafa2e94, 0x77ea949a,
+    0xb4275727, 0x85c6567d, 0x3211c101, 0x97a9bc43, 0xce48f143, 0xb356e799, 0x82caa48e, 0x60cbe8db,
+    0xe134c5b6, 0xad4186cb, 0x52004c1b, 0x4e0679ed, 0x5cc6290e, 0x325c5f9c, 0xcec77856, 0xee712b76,
+    0xa4f6c46c, 0xe71a423e, 0x08976235, 0x103c1504, 0xb2bbe91a, 0xd1dca63b, 0x1d765bce, 0xbfca4654,
+    0x9cddf991, 0x23f5aed4, 0x225e280a, 0x64c2dbae, 0x7d945f1f, 0xc40d5c40, 0x86e16ec2, 0x55ae9b84,
+    0xd96b8123, 0x2f8c9639, 0x50ee8627, 0x5682cf87, 0xb1f31226, 0x7e05bd2b, 0x1347381a, 0x2089bda1,
+    0x2cdf7ffc, 0x760fdb15, 0x8fdfec0d, 0x1efc58b3, 0xdfdd4321, 0x7ada775f, 0xc7c08f94, 0xcb27d367,
+    0xfba0333b, 0x36fd142a, 0x1287c6fe, 0x994eeffc, 0x8d47b952, 0xaeb8e0ac, 0x65780085, 0xb2434b9c,
+    0x1654582b, 0xcc8db711, 0x6e6358a9, 0xda47ae19, 0xf71d9258, 0x8ad97e56, 0x30a3a66c, 0x963256cd,
+    0x194c16e2, 0xa3f1dd10, 0x4738aa3e, 0x06c1873e, 0xaa8c4472, 0xd4cd8423, 0x261ae1a1, 0x6c504771,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000012259964326927110866866776217202473468949912977468817408 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693aa, 0x01c84c51,
+    0x00000000,
+    0xcef16343, 0x50ef3e30, 0x3c0a0497, 0xe8960f0e, 0x1dd496ef, 0x26f193f6, 0x9d4c946e, 0x1922f57b,
+    0x29aafce3, 0xc7525c38, 0xe1869f83, 0xf224739e, 0x23be97fa, 0xda544f88, 0xa68d5ea9, 0x5e5da289,
+    0x114b94cb, 0xc9572725, 0xc347b686, 0x4a06d4bb, 0x3a1cb9a7, 0xa7c5b1e2, 0x2d26b68c, 0x05409e6d,
+    0x2580b532, 0xd1bf38b6, 0xf5040348, 0xca86ac1a, 0xf5184aae, 0xaf0dd793, 0xd81ec669, 0xab97ccfb,
+    0x9b1a73a1, 0x1187b10e, 0x21bc64fa, 0x6262a691, 0x17aa94c2, 0xdc1c0223, 0x1c2df275, 0x326cd4b0,
+    0x6a749f47, 0xd1b000c8, 0x00894b38, 0xfbd3f7ec, 0xe6eeb5ba, 0xe3d8f8f3, 0x1e39095d, 0x60419ab2,
+    0x87973350, 0x25bc5599, 0x38c54375, 0x43764873, 0x931fba5a, 0x23582f3b, 0x8eb24beb, 0xaea9c437,
+    0xd85e83b1, 0xafd4fcde, 0xd443f97d, 0x6b426b54, 0xb4c579c9, 0x8c177a67, 0xb70a2250, 0x3dcc1c5e,
+    0x67442a6c, 0x8a79ce08, 0x689981a6, 0xf3616753, 0x8e63ad3b, 0xd8c6ade3, 0x8be69f17, 0xd57a7dc8,
+    0x9be3782e, 0x91e3795c, 0x61637d82, 0x1667f2ed, 0x4d756c4e, 0x09232ebc, 0xb0559a7e, 0xad61dee9,
+    0x273399eb, 0x4c8b1d99, 0x672dcbe9, 0xbef9d1ba, 0x3e88c3af, 0xaaecedf9, 0x889e9dde, 0x824f5d38,
+    0x59fcb346, 0xa2bd44e1, 0x0a6e53d2, 0x6e8a6f9d, 0xd9487e25, 0x17448810, 0xfb66c6f7, 0xc829f206,
+    0xc1ae195c, 0xe3b619eb, 0x39cf99f3, 0x66cf9022, 0xc519bd46, 0x0b991c2b, 0x795e95d7, 0x95076bee,
+    0x7e9fcfdf, 0x002359ec, 0x27e89cf3, 0x94bedc42, 0x99ccd3a3, 0xc2a17c3d, 0xd17f496c, 0x033f99ca,
+    0x22dfe4a6, 0xf74d5314, 0x9a447cbe, 0xbb316276, 0x35c1ca85, 0x1ea4d883, 0x7d0a2bfa, 0xe440230a,
+    0x790ca879, 0x3e6b6ad8, 0x11d4a64b, 0x4a73e4d1, 0xf30fe049, 0x312a9a93, 0x8dd97afa, 0x063af257,
+    0xb0c6e4e5, 0x462a5297, 0x972c0936, 0x1dd6d9c8, 0xed78c3c7, 0x1a220f5a, 0xb2ff4b5a, 0x8c49b77d,
+    0x8c381617, 0x40103ec0, 0x6feafe9b, 0xae191ae8, 0x631a4141, 0x53aff0d7, 0x276b610d, 0xc6436e81,
+    0x554017a2, 0x6c862843, 0xf915cc76, 0xfacc0ae2, 0x4c175126, 0xe25ebcdc, 0xc80d2743, 0x5e268079,
+    0x6ba8a756, 0xbf867a38, 0x5deeb98f, 0xd336745d, 0x6a558017, 0xe0c6e3e8, 0x5bf00e0b, 0x85fe9bc9,
+    0x33f2c6ad, 0xfdc49e1f, 0xcdbac44b, 0x1f5b1d83, 0x15ee9af8, 0x88e08583, 0x5d314761, 0xb4392980,
+    0x54a4701e, 0x61e63c21, 0x89390402, 0x2d23930d, 0xfb344050, 0xe7081bea, 0x85113d6c, 0xced62f97,
+    0x85607476, 0xd3aee0bc, 0x4dfbdd34, 0xb52f1f68, 0x0af3aef9, 0x3d327c17, 0x93747d5e, 0x86eecf5b,
+    0x09a84719, 0xeea29036, 0xb0a7ed20, 0x97a5aacd, 0x77968633, 0x6b0642b6, 0x7ef76248, 0xa465f89b,
+    0x4c1438a8, 0x1b001755, 0x5d2669d9, 0xc5d99c88, 0x288f51c5, 0xb477c6b3, 0x99ef5f63, 0xd6e9087c,
+    0xd4aafcfd, 0xf7c3868c, 0x0785fdc5, 0x5e0446cc, 0x66230746, 0x880f402a, 0x60850922, 0x51b4d504,
+    0xc27cc0d7, 0xb94b2b55, 0xa933d812, 0xcba144b3, 0xdac24f73, 0x44ca6946, 0x00712aad, 0x972e2eef,
+    0x20b9c98d, 0x9ef1ff22, 0xbfe5c10a, 0x5a1b3daa, 0x5ba5fa91, 0xa9b653d3, 0xe234d5e6, 0x38805925,
+    0x62d7e562, 0xce363a66, 0xf27b4a06, 0x0f6b4eee, 0xe0ce52e8, 0xe2663cfd, 0xb551cfbb, 0xfd300215,
+    0xf5192529, 0x7d987481, 0x5ac548b3, 0xd6b345e5, 0xc0d53983, 0x3ebebf3a, 0x564f293a, 0xac4e8d2d,
+    0x19440ca4, 0x2b943f90, 0x47399f43, 0xbaaa9e90, 0xa720cf51, 0xe8b19eeb, 0xbe6ef451, 0xa5d0dcbe,
+    0xf39b3782, 0x409094bd, 0xc331ed5e, 0xfd74db92, 0x066f02ee, 0x110c3682, 0xb356765a, 0x1f15a0b5,
+    0x43f5ef96, 0xd63763dd, 0x727e358d, 0xeebc89dd, 0x0736c92e, 0xff49684d, 0x15f736d2, 0xa02d93bc,
+    0x9af1ab00, 0xbee5f2ab, 0x258e8eb5, 0xc20388af, 0xd4ba9036, 0x91f5257d, 0x67ad8558, 0x85b799ef,
+    0x402ffeb1, 0x0dffd385, 0x91e45b69, 0xf51fc0fd, 0x7c5a828b, 0xc0607d88, 0x002f6dbc, 0x4c9d7869,
+    0x4e84b99f, 0x49f6fc97, 0xd5b5bb13, 0x4e98d0af, 0x7a7925cb, 0xea1038dc, 0x98cbc192, 0xc6c2241f,
+    0xe75b6b71, 0x3e5dadd0, 0xde8095b2, 0x9f0b0a89, 0x555318a8, 0xfdd6cf4b, 0x30e27c27, 0x9fd38f61,
+    0x87257942, 0xe1bd94bb, 0x7cee0164, 0xa58efc54, 0xd65691b5, 0x1108cb3b, 0x2b2e24fd, 0x903815a7,
+    0x2b7ddb59, 0x31820ca0, 0xd67e19b0, 0x2681f819, 0xe67a7f66, 0xbe75db68, 0x357b7639, 0xec2fa6d0,
+    0xa20f2e03, 0x83df72bc, 0xd35b327d, 0x63ab0b22, 0x4cb25b13, 0xc6882d4c, 0xde62e7e3, 0x1ab9faa7,
+    0x8a9e6662, 0xac3555ad, 0x5c3799ff, 0x0a57a8ff, 0x9a2b75db, 0x036ee557, 0xce0cfeb8, 0xed21f0e9,
+    0xbc309cb3, 0xde3c69bc, 0x5d46a46e, 0x250cf62c, 0xfccb87ab, 0xe77f3267, 0x6d74ada3, 0x0d5c3e63,
+    0xedafbded, 0x4a0262bc, 0x37565625, 0x7537cf24, 0x3935eb0e, 0x741a0e23, 0x3a44ca6d, 0x0fc6ebb3,
+    0xa5128d05, 0x44047041, 0x0542a285, 0x8ef2fc78, 0xcfbebefe, 0x26a1a8bf, 0x89673c3a, 0x70fb7446,
+    0xf49e4c9c, 0x75461806, 0x6d84b7cb, 0x48e81d9d, 0x208fbc9e, 0x34bf71d5, 0x223a4f65, 0xd500cd8c,
+    0x18227d05, 0x0e02d61e, 0x11cf0a82, 0xe1b9c355, 0x9f1def63, 0xa2ff85d0, 0xe497930a, 0xf4675004,
+    0x770de189, 0xe120c003, 0x3596bde2, 0xc8978f38, 0x1185dd57, 0xc1619201, 0xc0679415, 0xdd535b24,
+    0x5856fc80, 0xea7db089, 0x0e370080, 0xddc9e7d6, 0xf0d4426f, 0x227f4344, 0x00703e51, 0xd13f1b28,
+    0x05631e10, 0x5cbb2c4e, 0x726a84b2, 0x8ab8cb6b, 0x097dde27, 0x1afe967c, 0x13da5835, 0x06c4972f,
+    0x2c71278b, 0x0c3c0ca1, 0x67b950aa, 0x70bc8af9, 0x7622ebdc, 0xa22432cc, 0x64cb0c8b, 0x406b9ca6,
+    0x15f66969, 0xed8720e2, 0xa86e673a, 0x85b65e06, 0xccbc1d61, 0x719be4f1, 0x1c037d5c, 0xe7d9941b,
+    0x19cdeffa, 0xd7938cb5, 0x20d933a9, 0xefa51bbb, 0x5b29607c, 0x359d302e, 0x9316e2c9, 0x40dc83ec,
+    0x245400f1, 0xd54c72d1, 0x7112f93e, 0x23602937, 0x4006a78e, 0x43aacb59, 0x2c2fe7dd, 0x7d18461c,
+    0x0a16a0a3, 0xfea990a0, 0x93b26c02, 0x30fc6c38, 0x43b869d3, 0x9f2e556d, 0xf1dc3f4a, 0xd91dbc81,
+    0x0be73fde, 0x42190c23, 0xb6ad54dd, 0x70c12ece, 0x25843529, 0x01803bd0, 0xc36f2d03, 0xdcf49116,
+    0x2218064e, 0x2722e52e, 0x828f2ff2, 0xc67cf656, 0x9087a6d6, 0x9d8dc4a1, 0x8d170472, 0xef9ce671,
+    0x9c3d5c47, 0x6dcd0257, 0x7366c719, 0x0ffc8e66, 0xb51b20a4, 0x2d447385, 0x28571652, 0xb2275401,
+    0x95bb47ba, 0xfe742da6, 0x0f790706, 0xb568955d, 0x7b43a32b, 0xd5ecffd5, 0x5f37d538, 0xdb966195,
+    0x921fc55b, 0x2e599034, 0x4ffd4bfc, 0xbc298140, 0xef4c3211, 0x75052b8a, 0x76fdf471, 0x0bb379ad,
+    0x0c24e0ed, 0x34d24524, 0xf072f20c, 0x7a26c000, 0x6efe1c51, 0x9cc1ef63, 0xedb607d8, 0x647a4614,
+    0xd8977323, 0xb5e0d06f, 0xb63d898b, 0x3cde8129, 0xc9748ab4, 0x35c2a6b3, 0x515821e4, 0xada12ebc,
+    0xee27bf52, 0x47c036f3, 0x16f12347, 0x1416da74, 0xe39ec118, 0xa16902bc, 0x425bc315, 0x8b06d1c4,
+    0x1a678219, 0x16157ab9, 0xf9dd4353, 0xb267da57, 0x25da8a03, 0x13dece4a, 0xd468fdef, 0x963f0b4d,
+    0x9e04c3aa, 0x60961f51, 0x7f178566, 0x114929b2, 0x67d94fa7, 0x5796b104, 0x094b0e6a, 0x130e1faa,
+    0xe3e2dda3, 0x45f7cb98, 0x599ef1eb, 0xedae2792, 0xad74a492, 0x55fe687f, 0xaa5774f7, 0x2ff3b767,
+    0xbed3d2be, 0x88ade726, 0x5a7eeadb, 0xd7c5c39e, 0x0f3af762, 0x572afe9c, 0x4e1d771a, 0xc26b08e9,
+    0x6b872d8e, 0xe910986c, 0xa24999e1, 0x16a54ac0, 0x7dc2408e, 0xf1c3e677, 0xf9a66ee2, 0x70e3e1ef,
+    0x102b0909, 0xc09eec4c, 0x0e117b73, 0xb9af4e02, 0x6f5e7573, 0x1a3952ea, 0x05005d6a, 0xde7ff958,
+    0x53985183, 0x401e0603, 0x42bd2a0b, 0x39c2bf8d, 0xc1c4d461, 0xdf10212b, 0x18a6d7b0, 0x7d0de2ac,
+    0x3879f851, 0x9192e2d5, 0x539239b3, 0x6225a6d4, 0x4c22e8e5, 0xa44674e9, 0x350b0056, 0xca9aa414,
+    0x49e34f78, 0x6cd5da65, 0x9008bbef, 0x6dd2b34c, 0xaf732ee1, 0x05957b27, 0xb255834f, 0x21b6eafa,
+    0x623f288a, 0x8c323969, 0xd0b87ba4, 0xb828a158, 0xb276ae89, 0x59898d40, 0x9e86e2b6, 0xb9aca4df,
+    0xd31e740c, 0x5c594cd4, 0xc317fce7, 0x447771f8, 0xaf6aa22c, 0xdfae6652, 0x2b854913, 0x0e19df91,
+    0xd10ab8f9, 0xbfcd9315, 0xca7d90a9, 0x60c89f35, 0xea683076, 0x62cede65, 0xbd2362f4, 0xe40392ca,
+    0xb6065b70, 0x483c3adb, 0xf21696f7, 0x1a1d622f, 0x17a4214d, 0xec3c5e9e, 0x278a2ec4, 0xe0f6e79e,
+    0xabfc1457, 0x5f86dbf6, 0xd215beb6, 0x8c75998f, 0x333f3281, 0xa9eef7ae, 0x54186910, 0xa63fbef3,
+    0x32b2852e, 0x432523de, 0xf7cb5583, 0x152e4a2d, 0xe1555a7d, 0x63bd2fe0, 0x3d65bc3a, 0xee0e19d0,
+    0x80298e62, 0x24549a63, 0x21c2eebf, 0x595a0a4d, 0xb30d76a1, 0x12d25a76, 0xc6852406, 0x099480a6,
+    0xca0a24b7, 0xb16b4133, 0x23a2136f, 0xc15393c9, 0x99717a8f, 0x0ad8c93f, 0x14ec7816, 0x31b2dcf8,
+    0x1ab058b1, 0x2c4b3dd8, 0xd97b985f, 0x81367d24, 0x6d57e726, 0x75cfaa9c, 0x7b98206c, 0xc31bdd29,
+    0x0cdf11c8, 0x4690e6be, 0x2e988344, 0x4bfe3dff, 0x87c55cbb, 0x3dff65f1, 0x1b09f26a, 0x454369ae,
+    0x54737b85, 0x5daeb929, 0x9bc100ff, 0x6df52cae, 0x03897791, 0xf1be5047, 0xa8b6028f, 0x48fb457b,
+    0xce9e9503, 0xc2c355c6, 0x4d974e91, 0x52edc200, 0x714136bc, 0x522e08d3, 0x9508a4f8, 0xa03eaabd,
+    0xf79c436c, 0xdaa8a683, 0x439350e3, 0xf043edf5, 0x8d0307e4, 0xe2f15608, 0x911abd21, 0x991701ac,
+    0x9064367a, 0x9fc63911, 0xb27f31fe, 0x447a5525, 0xebd2a857, 0xf0c6936a, 0xdd87e2e2, 0xf6ea1cbc,
+    0x481ac221, 0x122db22a, 0xcd803a6f, 0xa416ef89, 0x35853a49, 0x81311be4, 0xa91852cc, 0x45dd8eca,
+    0x54e5988c, 0x09d937eb, 0xea06e9a6, 0xfa83458b, 0x2285bd17, 0xc0dc90cd, 0x9dcb8f7b, 0x0a1ca4e4,
+    0x82ece41a, 0xaac8c9b5, 0x1aa1fb7b, 0xdb154c38, 0xfdee8320, 0xd9ac4da2, 0x3e57fa0e, 0x3e03094e,
+    0xd026d6ed, 0x7a143e0b, 0x5b7bdf1e, 0xb736f107, 0x334ac712, 0xf56d083d, 0x3b47441c, 0xb0dad657,
+    0x095b4d7e, 0x208d67c0, 0x41f77db0, 0x43d8d6ec, 0x24745b86, 0x1654f552, 0x554bcbe4, 0x9fb490e4,
+    0xe829ad10, 0x583756db, 0xf20e1504, 0x9af6684c, 0x2bb17b5d, 0x8d3d97ff, 0xf4cd3c38, 0x855c4eee,
+    0x851c280c, 0xa1f15b64, 0xe49b4902, 0xeb64bcc4, 0xd1eb63ee, 0x9a4f071c, 0x357b8c54, 0x44db402d,
+    0xfc854514, 0x5513bdd6, 0xdc4dda79, 0x52096dc2, 0xeeefddc9, 0xf27778e9, 0x1e6f76c2, 0x538c92ad,
+    0x007c6953, 0xc52d35be, 0xf520adf4, 0xba655b33, 0x7eda81be, 0x12799107, 0xb582dd87, 0xe532b9c1,
+    0x52e97e81, 0x533a6bf3, 0xe826eb4b, 0xe3482933, 0x6336a993, 0xbaeeb199, 0xbf409a8b, 0x595d5486,
+    0xfe39c76f, 0x107c0543, 0x6f662b9d, 0x81066e43, 0xa0206e53, 0x3d622168, 0xd73ef4e3, 0x55197578,
+    0x6f720bbe, 0x4f746bd8, 0x6d97e46a, 0x72459a17, 0xcd9d4cd9, 0xe0dd0187, 0x6f0673bc, 0xb661c4c6,
+    0x6c3731c1, 0x4f37e521, 0x35bef5e4, 0xf1409ccd, 0xbb11a960, 0x0e86fc2e, 0x1fc50e14, 0x352fcd54,
+    0x3ba99d62, 0x82dfa64a, 0x975d5ab4, 0xb2d307a9, 0xe2d3b7f9, 0x38252b87, 0x4f8b3670, 0x697da813,
+    0x45e4c64f, 0xcd6226b9, 0xef32cb01, 0xca2ee1aa, 0x050cedf6, 0x52fe7478, 0xad8da44e, 0xe5ca13f7,
+    0xc0c918bd, 0xc41e7b2e, 0x54b93598, 0x0d4cdf92, 0x106031eb, 0xb3b10921, 0xe34ed0e7, 0x9a37effe,
+    0x5cd1d95f, 0x36e39820, 0xb005a085, 0x53fcaa85, 0xabda81ff, 0x0d052713, 0x109c9378, 0xd28779e2,
+    0xa629fab7, 0xc161e592, 0x64d9686d, 0x4eccc3e3, 0xb95a21cf, 0xaeff2cbb, 0x8e19529d, 0xe1018d22,
+    0x580f96f1, 0x117934c8, 0xe95d5891, 0xa8ecaa66, 0xcb7eb01b, 0x44c0685c, 0x39c1b0e8, 0xd4d61455,
+    0x35c03cdd, 0xe9511800, 0xefd420d8, 0xf7a7a746, 0x896a9fc9, 0xfa723c5c, 0xfb72af1e, 0x6c67cc83,
+    0x59ad2cbe, 0xd471fdf4, 0xd7d6f273, 0x51846292, 0xb458870a, 0x4f219254, 0x7a931ed4, 0x7139234d,
+    0xe90eb967, 0x34f367ef, 0xb4ea1408, 0xb0279ece, 0x685f7dd4, 0xd5cd4e42, 0x9ea09fc3, 0x75e493a3,
+    0xde0dfb78, 0xa9a59405, 0xb7c0d885, 0x5e765c06, 0xc5de9ef6, 0x8b5c1eeb, 0x3234c29e, 0xc3e56d67,
+    0x3d4b36bf, 0xaab6534f, 0xa08da47d, 0x7ab9682f, 0xd63e26f4, 0x56898612, 0x4a225822, 0xbfb78eaa,
+    0xcea64faa, 0xdc64fda4, 0xfd70a7e8, 0x2ffe3e0a, 0x762bf2ec, 0xd7a4f804, 0x4c5e7522, 0x3e388145,
+    0xc3362f98, 0xfb8ed1d8, 0x87a1414b, 0xc6003d1b, 0x4a6ebc9a, 0x60c8d735, 0x2df05e91, 0xfce8648e,
+    0x17018d87, 0x76e22f00, 0x8c24af26, 0x8c77931f, 0xf99cd18e, 0x290765ae, 0xac9a6efd, 0xff32c63c,
+    0x7f9e612e, 0x9f618f70, 0xfb6ec03d, 0x681c9410, 0xe03e34cd, 0xc24d8494, 0xf8838dd1, 0xdc2e137c,
+    0x2c6dc4e1, 0x606313a2, 0x2165b3eb, 0x2222c89f, 0x23810449, 0x7ff578dc, 0xffc7e9ef, 0xa964b7af,
+    0x19d87b3f, 0x6541fa9e, 0x1972ec99, 0xdc9ad1e3, 0x63f4a603, 0xc1f87567, 0xe25ce373, 0x04b233a0,
+    0x93656b5d, 0x2bdbabbe, 0x9e9dc2f4, 0x48187612, 0x58cdbcc3, 0x79564665, 0x10b6fe18, 0xf09d2dab,
+    0x384bc197, 0x31a8ff49, 0xfdfaa337, 0xd8834a54, 0xf05103e2, 0x6c25cbc3, 0x81ca5112, 0x0a53041a,
+    0xd4317432, 0x34a93e07, 0x6ea45503, 0xd2b0b8a3, 0xf7ec6d08, 0x045daf98, 0xfae1baed, 0xbf93a101,
+    0x8b12e973, 0x68d1acaa, 0xfaac7bb8, 0xf30a43b2, 0xda811cfb, 0x9e2df46c, 0x3890b605, 0x312b943e,
+    0x1cbc5a16, 0x01593ca3, 0x8ca149bf, 0xea7f61f9, 0x401dbda1, 0x62b2f017, 0xce304564, 0xc2ecc62a,
+    0xb56fb280, 0xe4f783fb, 0xf19510a1, 0xb348308e, 0xf2a89da2, 0x7c1a7f9f, 0xe51b04eb, 0x0e52d2c2,
+    0xdb32f657, 0x2da01bc4, 0x9cb8ffa0, 0x9f23567f, 0x126018bd, 0x435b6b22, 0xbea60c77, 0x9943e7ab,
+    0x7bcf41f6, 0x5d79a34a, 0x32b9f6d9, 0xf6481eb4, 0xfed6f6ac, 0xee18a3e2, 0x004b92dd, 0xd7947903,
+    0x30f96758, 0x6348cb5f, 0x3bb868d1, 0x232c3a3a, 0x6b68cbc1, 0x19516957, 0x18bfe895, 0xcad6fa0c,
+    0x75c79bf3, 0x424ef24f, 0x4564ac03, 0xc14b6248, 0x749a7955, 0x526726b7, 0x360cfe6b, 0x5c93e237,
+    0x6f0818fc, 0xd857e3ac, 0xfafb522b, 0x1bbe72f7, 0x2b85451e, 0xcf92cfeb, 0xa8ed9be3, 0x0e5958c2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000006129982163463555433433388108601236734474956488734408704 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d5, 0x00e42628,
+    0x00000000,
+    0xa2c0e3c9, 0xa0aa3756, 0x8fbbe16a, 0xcf8e69b0, 0x9c50bd89, 0xcf4e4fc1, 0x8c2d8281, 0xe3d2c461,
+    0x6ab10f38, 0xa76dada8, 0x51ac9db0, 0x2425f16b, 0x40824111, 0xfd109e97, 0x63c6c4ff, 0x8bcebc0a,
+    0xb0ec4374, 0x1f4691d4, 0x7bccd6e8, 0x576a7c06, 0xc8c38bfc, 0xe586c70d, 0xe2b3bfee, 0xf8ce76c7,
+    0x4ba92a88, 0x3f5b7b62, 0xc6b6b906, 0x5f3b97d9, 0x3c502335, 0xbbfb37f6, 0x85a40778, 0x39cbbf9b,
+    0x5f79db46, 0x478fd128, 0x84955d36, 0x4825a613, 0xfdf4cf62, 0xd548826f, 0xf4ad091a, 0x845f8996,
+    0xd04086a9, 0x148dc5a4, 0xe9e785cd, 0xe1ffb843, 0x7102a3fb, 0xba512e33, 0xdd9123af, 0x600f0930,
+    0x3853eca1, 0x35ed518f, 0x3c1dc63b, 0x67180d5e, 0xdfc65555, 0x3c508fd5, 0x6b20f54a, 0x939a3362,
+    0x5fda17c6, 0x4d6bc6b6, 0xa0b93f4e, 0x91f2d57a, 0x9f19a9e1, 0x37b52577, 0x40dc3cab, 0x97666662,
+    0xbae68f0b, 0xaf5ee0a0, 0x7ce89587, 0xd5c6909a, 0x2d75b6ba, 0xc258905e, 0x6193d877, 0x98341391,
+    0xfc17904d, 0xbb9a044f, 0x85ea14a2, 0xfbfdcdd8, 0xbdf1fc4c, 0xa19a3c63, 0x17500572, 0x44c1df02,
+    0x67db788c, 0x4f0c224e, 0x6fde91a3, 0xca727587, 0xc2dbdef9, 0x9087b88e, 0x5b009789, 0x9b578872,
+    0x9e6fee9f, 0xcff9a8f6, 0x70998eca, 0xc9a2111e, 0x5bb48b7c, 0x666c0065, 0x6e4c2478, 0xe3bea3e2,
+    0xf259f8c7, 0x9c74344a, 0xf496d992, 0x3770600d, 0xbcbf265e, 0x1fb5d358, 0x1d75fc98, 0x305408d7,
+    0xbebe7970, 0x8a3897dd, 0x53a60977, 0xe60ee56c, 0xc5cfec3d, 0x64f54784, 0x5e1db1ea, 0x2c24cc0f,
+    0xbbf97365, 0xc6228334, 0x9801ec3f, 0x88020257, 0x1c24bd41, 0x4dfcdf02, 0x3b03c3d9, 0xc080fa52,
+    0x3a669c63, 0x489ae229, 0x950046e1, 0xe64f1d48, 0x5d2f04d9, 0xb7c89022, 0x6922ec27, 0xb5eb8f03,
+    0xfbf3fa0e, 0x54dfecb5, 0x4235b235, 0xece8e77b, 0xea3feaf0, 0x0b0a52a7, 0xd666184a, 0xd28c0721,
+    0xf52458ff, 0xb021614f, 0x77bc6596, 0x5b03e3f1, 0xb81e99ec, 0x9e068ae3, 0xd735177f, 0x233363c7,
+    0x4db46c75, 0x82854887, 0x9b691938, 0x3a1fd63a, 0xaa686f2a, 0xfc55a1fb, 0x45f11740, 0x4406bab9,
+    0xac0befbe, 0xa26a0a17, 0x26af09e5, 0x6c8ff448, 0xafd9195b, 0xcabb2536, 0x40227775, 0xe248cace,
+    0xd0f43614, 0x156dd650, 0x8f39c85a, 0xfd655c22, 0x8a8be70b, 0x5d8c422e, 0xec4c427f, 0xc6e58ce5,
+    0x5fcb0e93, 0x1c605659, 0x3ffe637a, 0x715d7bcb, 0x9107a05d, 0x7a120755, 0x885476a3, 0xcf1eb791,
+    0xb826f592, 0xb45f6188, 0xb84ada25, 0xaee376bf, 0xb266c343, 0x1965a87b, 0x3e3a3b63, 0x26e3a76b,
+    0xbfbf676c, 0xfdee9b49, 0x2655bae2, 0x53c5dd83, 0xa1a66e7f, 0xf2d4932b, 0x88acb1e9, 0xc2d4d960,
+    0x1e216550, 0x83f3bfb2, 0xed8a1d25, 0x39da2c31, 0x2516eaf9, 0xc32d7585, 0x4e5c16d3, 0xfaf4e00f,
+    0xed62f844, 0xc7542c3f, 0x93fcba6d, 0x9f89618d, 0x72271af9, 0xc68c0d07, 0xabff885e, 0xf6dbe685,
+    0xf6a03224, 0xd9823ff2, 0x7c37046c, 0x4e9eb2f5, 0x15875833, 0x42295781, 0x2cdbe635, 0x8b124779,
+    0xef84b296, 0x15753277, 0x5b00f104, 0x39efb7ac, 0x7d3d342a, 0x0eb01003, 0xfff5cba1, 0x398ce932,
+    0x286b3952, 0x63955f08, 0x4525becc, 0x1c46a9e0, 0xf744e476, 0xd5b7ac79, 0xaa3a8c23, 0x34a42557,
+    0x78113e04, 0xc88390de, 0x52ce8297, 0x109e4709, 0x6ca80f57, 0x7cd931c8, 0xcf5f40a6, 0x382d0d4b,
+    0x9937af4f, 0x57a804bc, 0x80af29a7, 0xc8eb4cbc, 0x8b715c22, 0x9169933e, 0xc7ccc633, 0xc832cb79,
+    0x47d63073, 0x1dc4b563, 0x2945b30c, 0xd94738e8, 0x7ced5e7c, 0xbc9c8692, 0x083af91e, 0xd184ecf5,
+    0x48ac7eb9, 0x403f1e88, 0xc5beb825, 0x7d062a7c, 0x3a5d498c, 0x69b0fe7d, 0xb308cc21, 0xe8ac2354,
+    0xa92f26cd, 0x04193c40, 0x18661628, 0xafded803, 0xfd6a8198, 0xf6351d5c, 0xac475ead, 0x9869f58d,
+    0xffd45727, 0x3f29227e, 0x57ce216c, 0xf397aca2, 0x57e2eb85, 0xd7a5aab3, 0xd0601ff1, 0x70f16b02,
+    0x9e89b7df, 0x29145056, 0x51fc9293, 0xf1506fdb, 0xde1cbc48, 0xa40c070f, 0xdf314b5a, 0x0876e525,
+    0x409e07a8, 0xa061bc99, 0xa1fa5258, 0x0bb623ce, 0x578ee04c, 0xe1c5b2d2, 0xdbeeb86f, 0x037b83a5,
+    0x441aff70, 0x92d7aede, 0xe02e7235, 0xc3bf8096, 0x3f23bac1, 0x3ef3e9ba, 0x62a91fc3, 0xa055626c,
+    0x139e1d74, 0x35becbaa, 0x82bbef41, 0xfa048d04, 0x40005342, 0x8e761e8d, 0x8156fd43, 0x5392dc06,
+    0x51fd5aca, 0x2b16bf87, 0xbeb41ef1, 0x45fd2f7b, 0xa8ce1089, 0x0bc0a1db, 0xcae05af4, 0x0df7c569,
+    0x8a4a155e, 0xf6e68379, 0xbdb4ce5c, 0xe08e45df, 0x358b2017, 0x6e5ff518, 0x6e869ce8, 0x944660e7,
+    0x1a482fa0, 0x8af4b0bb, 0xe89d8fcb, 0xf770f2cb, 0x13e1391c, 0x17095e3f, 0x0fc85cb9, 0xd529c2d7,
+    0x2ae55460, 0xa248232f, 0x40bf9827, 0xe0188a9b, 0x81f5e6a5, 0x5c2f1a0a, 0xa2044972, 0x5a403bad,
+    0x2f6c2bdd, 0x0610a805, 0xc896dce7, 0x893b2576, 0x158dc69f, 0x99f7a884, 0x10d18416, 0xdb36012e,
+    0x14eb8847, 0x51532ccc, 0xe393f95c, 0xea228faf, 0x503747e0, 0xb7c34329, 0xa869518b, 0x92f95f64,
+    0x918cc8da, 0x6f7c4c74, 0xcb7f8599, 0x4df13f17, 0xdf4c39f0, 0x5515cc53, 0x1f7732fd, 0x5171807d,
+    0xc1655a2f, 0xcd99f255, 0xe93bb1b7, 0x7d4a0526, 0x546db93a, 0xbfc28c54, 0xdeb2db73, 0xec0bc8a3,
+    0x61687139, 0xc8a4cdab, 0xb8b6d67a, 0x5a22ee32, 0xd592b233, 0x66012d0b, 0xf3f25c1b, 0x18f92c3d,
+    0x4aaaf28f, 0x5746b9e9, 0x7401d6b9, 0xd5ea9eb9, 0x09dd33a9, 0x9793052d, 0x000f818d, 0x2ecb7d9f,
+    0x39bc986f, 0x81f9e64a, 0xd3b07a0d, 0x20dbd79d, 0xa8b1da6c, 0xbb883db8, 0xb84df023, 0xca5c0cba,
+    0x32f613c6, 0xa6c65526, 0x63099a4b, 0x68e6a10b, 0x1c6ff5f7, 0x8f24d673, 0xa098ddc1, 0xb8809dd1,
+    0x2d26f5ed, 0x044c6d35, 0xaace3237, 0x16c351fc, 0xfe8ebcb5, 0x5da7d9a8, 0x01fd991e, 0x9fc2a342,
+    0xc4b40d8d, 0xa7c6bd7f, 0x892205c4, 0x975d1046, 0xc363e05d, 0xbc41e176, 0x2961926a, 0x79376228,
+    0x2dbc29d5, 0x5b0adf09, 0x3144b321, 0x1a79e87a, 0x4ab74cb6, 0x80ca5398, 0xeca97e64, 0x01c2ceb7,
+    0x05408740, 0x888efc6e, 0xe6c1c706, 0xc936831d, 0x1a8a1fd4, 0x2ff9b1c1, 0xbf49b33f, 0x0c477785,
+    0x9af07dc0, 0x88ca9bdb, 0xc0288b87, 0xf1b31cac, 0xd7d5186b, 0x5be081f6, 0xca318641, 0xea6a1fb1,
+    0x9ec7a797, 0xeec49324, 0x9f46da85, 0x9d966153, 0xf13ba278, 0x8db22803, 0xdd5fb682, 0xaa586de8,
+    0x2a36a817, 0x4f035440, 0x231281e2, 0xca32ade3, 0xb41e9045, 0xedbdaab2, 0xd286a655, 0x009115c4,
+    0xe3633a91, 0xbe9a0f4e, 0xd536e6b2, 0x6f1d0d64, 0x7410d59c, 0x7c5a32e7, 0x132ad560, 0xfa742574,
+    0x9d6384d9, 0xffe5877d, 0x230ee382, 0x608dcaab, 0x6f302f25, 0x005c885f, 0x8b7bd386, 0xf0022895,
+    0xb4787b62, 0x91fb81ef, 0xb1609933, 0xc3aae391, 0x56cf82be, 0x8dcc9786, 0x2a69aa0c, 0xb2a8b032,
+    0xe2913c72, 0x61779460, 0xf217fc35, 0x6a20ce26, 0x72c58887, 0x4d62a8a9, 0x79d67334, 0xa38f9bb8,
+    0xe3bba7fc, 0x770f2aae, 0xa8b71123, 0xe4339984, 0xdbf2ac64, 0x014ec27a, 0x7c399a38, 0x317f4414,
+    0x4b3f50d2, 0xa8a92038, 0xfe9b86cd, 0x50a4aacd, 0xd8e35ff5, 0xb2113a49, 0x8056af6d, 0x07c2a6e7,
+    0x5d99636f, 0x8d5d9ba4, 0xac594982, 0xdfbd390d, 0xb40aba09, 0x7542a53d, 0x5d2a5869, 0xfc0e069f,
+    0x23540b21, 0x15da2ff1, 0x83f7f16f, 0x6d83235b, 0x29b53578, 0x1777dcc1, 0x86a97faf, 0xe7a51cf0,
+    0x5e5bb833, 0x87a25d0c, 0x62a6ddd0, 0xdd651662, 0x43ca2e45, 0xc1aeba4e, 0xc2b548bc, 0xb3cb4c69,
+    0xc2c1c85d, 0xef1f5863, 0x80426dbb, 0x7b61b527, 0xb0dec84a, 0x94b15472, 0xdf7b814d, 0x65a845eb,
+    0xa6928816, 0xda934adb, 0x0e9183f1, 0x4a1ccbc0, 0x2c73eb8a, 0x738ad690, 0x61b0eeee, 0x6c80b152,
+    0x76268bfe, 0xa6597621, 0x7d1ee554, 0x5e1429bf, 0x8a73eea0, 0x4eb07f0e, 0x18f5ad8c, 0xb3862e90,
+    0x09f5be35, 0x8b714e63, 0xb394bf95, 0x69ee75da, 0x78324e4b, 0x4f71d939, 0xec4c2477, 0x7ebbc398,
+    0x46d436d0, 0xbaed73a8, 0xddd1f762, 0x979aa29a, 0x3c8863ba, 0x5e80d3a3, 0x402079bf, 0xc2645b7c,
+    0x1ea1c202, 0xd402d300, 0xd06dcaac, 0x263cea9b, 0x03c4e3ce, 0x1c1ee35d, 0x9bc3fcb0, 0x845563bc,
+    0x44867ddb, 0xd9644a85, 0xfdb3b8a7, 0x9c944d1f, 0xfc74595f, 0x51963527, 0x651a14f1, 0x6162afd4,
+    0x699b776f, 0xd793c40a, 0x944d9e75, 0x7c15e3ae, 0x95109344, 0x4af02682, 0xb2571c39, 0x0055568c,
+    0xb5b6ae51, 0xa5aa1ff4, 0x3b9703f8, 0x17f5f025, 0x41c37546, 0x2908803c, 0x7b384bb3, 0xc6aa25a2,
+    0xe78cc78d, 0x374cad59, 0xc208713d, 0x68fd9c27, 0xe6f72409, 0xe197e2ed, 0xd7d4119f, 0x5d7c3b75,
+    0xecd87449, 0x1281512d, 0xabfe4ac0, 0xb12e9c42, 0x92ef7b00, 0x946beefd, 0xf8447fa7, 0x71ac7672,
+    0x1f0368e1, 0xd1341423, 0x7600de01, 0xd72b50e9, 0x5cf064ae, 0xb75aeaf2, 0xbae77eaf, 0xae93d11b,
+    0x627862b2, 0x339d820f, 0xd55f2fcc, 0x5a0b157e, 0x2fb0c253, 0xe44df296, 0x86c7ad5d, 0xf13e2c20,
+    0xb6d83151, 0x3b137e4a, 0xbb00db0e, 0x3a96c403, 0xf1e8fb37, 0xc8d9ce26, 0x7acff96f, 0x86b48c48,
+    0xa1deb3a4, 0xdc869372, 0x793a6bf5, 0x7976a6f4, 0xe19df660, 0xdc1f2518, 0x86d12685, 0xe097ad2f,
+    0x7067df39, 0x21b1adf9, 0x8d406118, 0x5c568266, 0x086df92e, 0x2e953146, 0xfc17fdfa, 0x3db12e50,
+    0x23ca915e, 0x820b319b, 0x2593cb66, 0xbe3ba7ff, 0xef41c749, 0x3539403a, 0x65117461, 0xf476f64a,
+    0x4c717db5, 0xfa32f89d, 0xa47261fe, 0x394b1827, 0xfc8a0c92, 0x5b96d2f8, 0x7e202c0c, 0xab7030a3,
+    0x6b883259, 0xee179086, 0x0fb8c903, 0x50cfd661, 0x69cc02db, 0xd3fc979f, 0x6123f9b1, 0xea79ae2e,
+    0x2336ab26, 0x80298392, 0x463aab16, 0x0182335e, 0xc3ce4bff, 0x2b4db67b, 0xe5d81566, 0x78bbcf7f,
+    0x7356dd7b, 0xdb54fd33, 0xede88f16, 0x255b6441, 0x6477e591, 0xd0f63fa7, 0xc3bfd97a, 0x13fcc9f1,
+    0x63058e82, 0x49607102, 0x6d063682, 0x20a60f8a, 0xb5f55dba, 0xe2c33287, 0x2854d84b, 0xb0f09526,
+    0xe8b7991a, 0x9854c656, 0x3f936ef7, 0x73d2c891, 0x5d9ced18, 0xfa0758d0, 0x2901c553, 0x8c88a166,
+    0xa67903a8, 0xf7a18e7b, 0x03049d52, 0x278be085, 0x0aa00ce2, 0x645e8b65, 0x7c65eacf, 0x9795cfdd,
+    0x9629812c, 0x7c67460e, 0x3ce6b8b6, 0xd912fca0, 0x6bccad46, 0xc7ee08b9, 0x04cf78b3, 0xfe06f0dc,
+    0xa9b50bf7, 0xcb0ad68a, 0x28c7466e, 0x23ed63d2, 0x8159e871, 0xe40aabfa, 0xbdf7676d, 0x9eb5251d,
+    0xe944f7c9, 0x37be3ed3, 0xc8e52d0a, 0xd1423aed, 0x7289c7bc, 0x4d4ef878, 0xaeab0eee, 0x8741fd09,
+    0x1fdff747, 0xa78c485a, 0xf651f0b2, 0xde1b3ce1, 0x0189e648, 0x3c778d1f, 0x07d21db6, 0xe8398363,
+    0xde998560, 0xd019773a, 0x1c927587, 0x89d7deea, 0x1809e9f8, 0xa9283b31, 0x381c1ca7, 0x5d1a2577,
+    0x45c2e0bf, 0x9a5980cb, 0xfd6d40fe, 0x26810b58, 0x29077bdf, 0x0c7e1ce4, 0xadb80421, 0x04d3f5c1,
+    0x69418613, 0xbcabbd05, 0xc4164394, 0x40b432d7, 0x95331740, 0xaf50f27e, 0xabfc3cf4, 0xe2ca24a3,
+    0xff6aa139, 0x316775c0, 0x86f87d88, 0x5b64d73a, 0x756c2d42, 0xadc27514, 0x22915344, 0xeb7432b0,
+    0xe7731a53, 0xb51a2fa9, 0xfe5300f2, 0x7fb97913, 0x4c3d8400, 0x832d836d, 0xa6ad9453, 0x03a486fd,
+    0x1e48663a, 0x20246ccd, 0x66232e82, 0xc3fea713, 0xbdea7ac3, 0x96ed4549, 0xc8aadf60, 0xee694299,
+    0xea3efd02, 0x2aa4c699, 0x0dd6620a, 0x89b23684, 0x0f4ed3de, 0xa23a163a, 0x50887bfb, 0xa7eb31a3,
+    0x18efa0e3, 0x5e344eb4, 0xd80c55d4, 0x502ed62a, 0xe0e788d5, 0x03ef6fea, 0x793b78a2, 0xb2677310,
+    0x98d48e28, 0x260e13fc, 0xa2bf0e68, 0x7b09165f, 0x7d2cecb5, 0x8054bc0e, 0x8fdc2099, 0xca9273b1,
+    0x6d9d5903, 0xbe41a84b, 0xf766a79c, 0x6d98a460, 0xb119f0d5, 0x348704bc, 0x49441789, 0x66fa5ad2,
+    0xf00bed16, 0x649f5863, 0x0abf9946, 0x75aa5b5f, 0x90c257b4, 0xcec74529, 0x17432ce3, 0x5d015418,
+    0x05c45237, 0x1c36782c, 0x2ecca97a, 0x19aa2835, 0xa0e52b66, 0x03c8ca94, 0x136f58e7, 0xd2a3399a,
+    0x8f6cbc38, 0x6b79d119, 0x062796b9, 0x8e6fc972, 0x315f1735, 0x1f793f27, 0x5ea22920, 0xe2eef6cb,
+    0x404aabcf, 0xf3f08cd6, 0x7c3758e2, 0x4fa0052f, 0x03c22ce5, 0x6f10d5fa, 0x3afed40e, 0x8fd75436,
+    0x103ae0f9, 0xe6fc0eda, 0x4f92ae79, 0xeabae951, 0xf9acb6aa, 0xbfbf593d, 0x2d28ea3b, 0x18f3fedd,
+    0x2f8c617e, 0x670bb79f, 0x1c1f1243, 0x7b81f0cb, 0xb53730ab, 0x7d7046d5, 0x8ca8bf93, 0xe5dea82e,
+    0xb28d2718, 0x5634c2a7, 0x87da2974, 0x3fc6562e, 0xd6dbdc77, 0x37f3b2d1, 0xa70231e0, 0xd73415c6,
+    0x4e4c5909, 0x56903757, 0x2dca6c2c, 0x32327760, 0x7da6fe83, 0xf79a6bdf, 0xbf092027, 0x8031dcc9,
+    0x13a0dbc1, 0xbc0e5bf1, 0x60cb44c4, 0x6da092b1, 0xede807b7, 0x041b2f1a, 0x4841db2c, 0x47a411a0,
+    0x79e66476, 0x2d743f48, 0xefc80a3a, 0xb184a3e2, 0xea75fe23, 0xf409685b, 0x227194d9, 0xfd5a42e3,
+    0x770a7047, 0xc9e146e0, 0xd7739d5d, 0x7dfcae6f, 0x1fdf4af8, 0x27a21519, 0x375126c2, 0xb319ce6c,
+    0x2b2f6740, 0x424f9632, 0xa8deb5a5, 0xb6a1f40e, 0x105f08ff, 0x1b7da190, 0x8c17265d, 0xca14d3cd,
+    0x5a5093d1, 0xf759640c, 0x6280415c, 0xa32abf95, 0xcb2fe71c, 0x2c994224, 0x60c690c0, 0x8052af5d,
+    0x825c8fef, 0xa7ab8087, 0x03322b21, 0x12ad5662, 0x9f814727, 0x9369d531, 0x07765870, 0x32b8b962,
+    0xd0d60b29, 0x82c127ff, 0xbda23db5, 0x01644f08, 0x42ea0b93, 0x4c37c5a9, 0x5a796cdb, 0x065ea858,
+    0x6a279ef0, 0xb0c6500e, 0xad53916a, 0xe54d4904, 0xb35d9b0d, 0xa0130aaa, 0x8edd0bde, 0x01e3f78a,
+    0x2ebf33f7, 0xdf9e5138, 0x35e5c6c0, 0x729029a5, 0x123192f5, 0xb8e1f339, 0xc75de53b, 0x77b1a616,
+    0x9eb29fbe, 0xa063334c, 0xf5a07d04, 0xfcc0fca2, 0xfa3e988d, 0xa143c389, 0xd3e285e9, 0xb291cd74,
+    0x1bcbf2c6, 0x6499fa23, 0xcb33e3b0, 0x7f2d2f24, 0xa069b2fe, 0x882ad62f, 0xb867dc65, 0xfb9c4d1a,
+    0x9515998a, 0x86385366, 0x3585479a, 0xd5a73ada, 0xe27134d4, 0x4ed0f829, 0x8c7b3187, 0x691df00d,
+    0x73106700, 0xcbd1e0d2, 0x6317d3cf, 0x7613d81f, 0x25f2e0e8, 0xb2b999de, 0xa7a769a4, 0x3b021ace,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000003064991081731777716716694054300618367237478244367204352 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4ea, 0x80721313,
+    0x00000000,
+    0xcc1eaabc, 0xf787f57a, 0xf49d86fa, 0x1898e825, 0xedd5bb90, 0xe5f043f8, 0xb96d5feb, 0x43626340,
+    0xc7bb2dda, 0x28b2e319, 0x0c458780, 0x8d8e56db, 0xd015fb74, 0x55c88299, 0x3324382a, 0x402a2d4d,
+    0xff381e46, 0xf063a0aa, 0x471a926d, 0x86902b6f, 0x94e209bf, 0x31f9d86a, 0x450cfa78, 0xafb1a62a,
+    0xb26e2e84, 0xa8b0dd8a, 0xc920cbc7, 0xd68972be, 0x1b7a9e61, 0x669e0401, 0x7a25bcd0, 0xb6727f29,
+    0x0516c92a, 0xfcffc9ca, 0x92613eb5, 0x082a532b, 0xcf59369b, 0x0076fdff, 0x3ee353ac, 0x695472c0,
+    0x81177cdb, 0x7247a4a3, 0x6daa7ba5, 0x2353cb38, 0xd8f1c786, 0xf87fa54a, 0x04e4e6b7, 0x5aa04abc,
+    0x3f05246d, 0x1b834a0f, 0xac6b0423, 0x3d16a71a, 0x7fff20a0, 0xcf5b9104, 0x9ac6c97a, 0x1036fa92,
+    0x135f000c, 0x6f16e0d1, 0x2e9a8e0e, 0xc1e1a7cb, 0xb701cca8, 0x72096e5d, 0x1bf5ee57, 0xcdff4f83,
+    0x30b7c176, 0x9948bb6a, 0x3965ac38, 0xb34bdcbb, 0xec31ce29, 0x9aa5aa0b, 0x3f2b0dff, 0x51338e7f,
+    0x0960e2e6, 0x10b8b8db, 0x0585f51a, 0x2911513f, 0xabd9b9b1, 0x6b4eb5a6, 0x5675b55f, 0x6d44f0c8,
+    0x87142cef, 0xb2874f0e, 0xa14b9cc8, 0xed883cf2, 0x530ff99f, 0xb16fdf37, 0xda28556b, 0xf8fbe569,
+    0xefb2dd93, 0xdf86986e, 0xfa45cf84, 0xcdc02aa9, 0x30317de4, 0xe1f5869f, 0x3bf854c2, 0x0ce1df5d,
+    0x418410d9, 0x921f9337, 0x2cf20afb, 0xe39eb558, 0x6b27f7a6, 0xe1c71492, 0x4a73e986, 0x795dd8a1,
+    0xd3394793, 0x19d4930b, 0x88a317f8, 0xe9c467fe, 0xa50f5520, 0x614dcb30, 0x5a3aa0ae, 0x4cf32f4a,
+    0xb411f28b, 0x750b34d8, 0xe06887e2, 0xf1083736, 0xc17d3074, 0x4c13a40c, 0x58596256, 0x4fe7fbee,
+    0x71534e21, 0x9b68e696, 0x02a08a51, 0xd16cf60f, 0x6d936185, 0xded1230c, 0xe6ef1462, 0xf35fea66,
+    0x39afc766, 0xd4187d72, 0x8dae0623, 0xb02c56d7, 0x807b5f63, 0xb4a3fa33, 0x62331d0a, 0x9358f291,
+    0xbbca6339, 0x189eb042, 0xb6588290, 0x714143af, 0x854223cd, 0xf91ac259, 0x59db718e, 0xee555ff7,
+    0x77c23cb5, 0xb7c0a6f1, 0x335940c5, 0x0399596a, 0x6e8b78a9, 0xf5711990, 0xfbce7c53, 0x32a60efc,
+    0xc0e80e68, 0x7efa1974, 0x985a9b68, 0xab55f8f4, 0xd4590f02, 0x67ba7188, 0x87b94564, 0x5f2897d5,
+    0xb4a19f3d, 0x6c745108, 0x6d5b44f8, 0x8dfd8b67, 0x953cad1c, 0xdd4098b3, 0x7f64b9f5, 0x37dde916,
+    0x162f3e4e, 0x666ae0d0, 0x5ec09753, 0x7129cb43, 0x7c0c2ce8, 0x6382e89a, 0x4a21864e, 0xa4a6462c,
+    0x367fd03a, 0xbd057a30, 0x1c35466d, 0x1c6e3061, 0xca165628, 0x06962226, 0x00a03e37, 0x9cf41772,
+    0x65ced349, 0xc7fa0e79, 0x04c22ad3, 0x9e1aa297, 0x4104f486, 0xc79185bd, 0x3301b1b9, 0xa94309f2,
+    0x44237f50, 0x2f0589af, 0x0a11ed9a, 0x891b7cd9, 0xdc2be766, 0xf3edb6aa, 0x3c80c281, 0x4e07935f,
+    0x7f25dbf6, 0x08adbe5c, 0x2f39448e, 0x63d4e3cd, 0x0999b4b4, 0xa4775414, 0x31657f26, 0xad40ce92,
+    0x434a56bb, 0x29b216dc, 0x82d2a02e, 0xf51659ad, 0x0b3fc943, 0x79deb1a8, 0xab8bfa44, 0x7a09401d,
+    0x641e2340, 0x5a6020a6, 0x8b736cdb, 0xafed2373, 0xaac66198, 0x154aaf68, 0x88a5b700, 0x08265c7d,
+    0x7f9d99f1, 0x22fd949f, 0xeb9baebd, 0xa631e10a, 0xf615e99c, 0x8c21f45e, 0x01f90423, 0xb2bed803,
+    0xfa0a80a8, 0xaf10006e, 0xab933315, 0x4e9aa256, 0x1be9a7c3, 0x52784055, 0x9ab48272, 0xf6fe66d6,
+    0xbe74cb13, 0x409f37dd, 0x54a7c97f, 0x364fc583, 0xbd72ec2f, 0xa9fb1d15, 0xad52f0d1, 0x34678549,
+    0xa917a567, 0xbd26ad97, 0xbcd7f73c, 0xcab2901f, 0xf03c80ac, 0x7d770cba, 0xd47f4280, 0xcab49d98,
+    0x7f417ff2, 0x8c4d9635, 0xbd9c968b, 0x35143857, 0x84ed4f52, 0xbac05068, 0x10342ec4, 0x6e591d8f,
+    0x06ba2645, 0xdc1707c4, 0x513613fa, 0x36f9679d, 0x8520ad51, 0x0781b57a, 0xe9e25bfa, 0xeaee9436,
+    0xa8dbbae4, 0xf96b6d4d, 0x0935f321, 0x4e10c382, 0x15514b47, 0x9e70de08, 0x9b87f6d1, 0x8df4792b,
+    0xc060785d, 0x6dc49e83, 0x493d7aab, 0x5b9b213b, 0x41770a29, 0x697d33bc, 0x82f3e26a, 0xfbca8341,
+    0x456cc58c, 0x3d301151, 0xd4b5bb21, 0xa288d9d5, 0x3add6d4c, 0x9cdbae85, 0xf4b08428, 0x3163d33e,
+    0xbd172970, 0xe40c6a5d, 0x750cdd69, 0xe4fb75fc, 0xe261bbc2, 0xf1d69898, 0xc304fcd1, 0xf9964805,
+    0x8be30a10, 0x08008084, 0x014a2540, 0x0349809f, 0x1ea84f2c, 0xa35222db, 0x7278a62f, 0xdfacddaf,
+    0xd5e401da, 0x312a5953, 0xa345c7ff, 0x18f6d8f5, 0x56f90ade, 0xaed62391, 0xd6a65e35, 0xa3bde4e9,
+    0x56d6a29a, 0x28382b04, 0xd6eacc36, 0xce7306e3, 0xaacb40f3, 0xe1000a11, 0x3ef991ba, 0x1f1bfee7,
+    0x254a386d, 0xe43090fe, 0xea7af2a9, 0xddfedcc0, 0x32276899, 0xcbe57ee6, 0x62df39cc, 0xdf4c9888,
+    0x31e18e4d, 0x1a530259, 0xe0657694, 0xd8cebb76, 0x8358ee8f, 0xff09997a, 0xd6c5d424, 0xb55ed4ad,
+    0xa90e2908, 0x6d5c5f63, 0x37daa9b8, 0xe51634f8, 0x697e9d26, 0x82036609, 0x6338b930, 0x77f8c532,
+    0x89675a1c, 0xc8033aab, 0x3654295e, 0xb5cd0a95, 0xe66393d5, 0x547c9f6a, 0x157a4408, 0x9a2831bd,
+    0x248e9b0d, 0xf03bc08d, 0x5c878e9c, 0xcda00a1e, 0x457f1601, 0x9196a99a, 0x86901d35, 0xcb2e6db9,
+    0x77fecb36, 0x30a02157, 0x58e7ef0c, 0x9598f93a, 0x8b9630ef, 0xcbf1c746, 0xe930986d, 0x3e670c72,
+    0xb0f3d9b3, 0x0f1a93a4, 0x2e270c5c, 0x82536bed, 0xd7b76b9a, 0x13523ff2, 0x5bdb2aa7, 0x51f90862,
+    0x07cf6d02, 0x7f82d62a, 0xe7b6c602, 0xb961f950, 0x4a98d3d8, 0xb05831f3, 0xd612f070, 0xfbf65b1e,
+    0x00ba7d77, 0xeb1a1244, 0xab850a4f, 0xcdeeaf42, 0xb60a5b23, 0x712a70ce, 0xcc0c2750, 0x766009f5,
+    0xec9eeeb4, 0x81cd738f, 0x9eca7259, 0xe35869c8, 0x2d00e2a0, 0x614fb40d, 0x4c5d70ff, 0x0df28fb0,
+    0x6b24e4ba, 0x26f4b41e, 0xc74537a5, 0xdc8331cd, 0xb3df9bd3, 0x943953ce, 0xc60e789e, 0x1b3db4b1,
+    0x42fcbebe, 0xac8450fa, 0x622e8b82, 0x3c07181c, 0x938aee23, 0x4c3c46d4, 0x503b8c03, 0x1f5d9d1f,
+    0x989bbae1, 0x63d2df0c, 0x00c18ff1, 0x3bed2d05, 0x1354ced3, 0x426d42c5, 0xe2405008, 0x2d1ba329,
+    0x4e1d5b1e, 0x34ebea0c, 0xc64ee0d9, 0x16ed3350, 0x8eb82f08, 0xd11bed38, 0xfccc12de, 0xc3770ee1,
+    0xff0f99fd, 0x28887485, 0xbe31e2ca, 0x81acb48b, 0x40390d11, 0x9ddfa24e, 0xdfecaa3f, 0xe186093c,
+    0xa07e5415, 0x4acaee66, 0x4a693ef8, 0xcf1f7fff, 0x2fd66bd9, 0x1d5ee2e1, 0xd27e8984, 0xc2bbbb07,
+    0xc06bcdaf, 0x56e62bf7, 0x53826b23, 0xa4874726, 0xee09383b, 0x334a2d61, 0x98aa4158, 0x206cf333,
+    0x9c0aab6f, 0x40a123e0, 0x30bf8966, 0x0a956b5b, 0xd4cb0825, 0x36086657, 0x2f8dc179, 0x97cf5003,
+    0xd79b623e, 0x8f520b9e, 0x0ab0a253, 0x1b55f890, 0xdf94c4d4, 0x1addbd93, 0x49c4c29c, 0x0a96e787,
+    0x961cd008, 0x17ef7713, 0x321101e0, 0x71c16727, 0x92f8cae9, 0xa259c45f, 0x471fce4c, 0x5f19c60a,
+    0xf4f48d99, 0x70fe212f, 0xb19368e8, 0x2c02840a, 0x6cd57eac, 0x35b05f49, 0x468bbba2, 0x99a85e75,
+    0x45e3e802, 0x903ab61b, 0x471e7bff, 0x6151132f, 0xe71bfb3d, 0x8a3d0eff, 0xcd30d63a, 0xd927143c,
+    0xe0959787, 0x75c8460f, 0x5753a680, 0x9b067c60, 0xe5313f82, 0x1e95d9d6, 0xcdc26cee, 0xe0027254,
+    0x99f6bbe1, 0xd663c13e, 0x86769ef9, 0x529f4591, 0x9141f327, 0x2154cfee, 0xff814719, 0x8299bf32,
+    0x5a9b17a7, 0x9bb6bba0, 0x0fbf63ad, 0x8b8c0c75, 0x8d7b0bd9, 0xee8dcd8e, 0x19ab76de, 0x7a9afd2d,
+    0x9726f86d, 0xef4e5076, 0x71841334, 0x1f6ebe9f, 0x60a7425e, 0x97eb6b86, 0x4d859828, 0xd991cdc7,
+    0xf7e95cc7, 0x5eb2d96e, 0x01346e53, 0x80b11711, 0x8cb68627, 0x07e884a9, 0x5fb135f9, 0xf72a9f5b,
+    0x2d80a194, 0x1cd75eb0, 0xcbca8957, 0x2ff06516, 0x1e2f378a, 0xd64b8af9, 0xfd1a0cfa, 0x75ce9ea6,
+    0xdee541f0, 0xabcbb7ec, 0xc4037210, 0x66448349, 0x7cbec06a, 0xf0c6a515, 0xeda5092e, 0x66483373,
+    0xbf4c244e, 0x4c1e9899, 0x1ae56e74, 0x85f17ff8, 0x99d0e10a, 0xd3fd4f91, 0x7e0b1def, 0x295a44e6,
+    0x07906b8a, 0x7ac1f01c, 0x3fdbad97, 0x53c282b5, 0x340d390c, 0x81ba2259, 0x03110134, 0xd6015b08,
+    0x0f281d1c, 0xa9e4e8da, 0x1e58ab27, 0x3e570e2a, 0x60d269a2, 0xd80db808, 0x4185ccef, 0x4750a462,
+    0xf78314b8, 0xff7b4ec1, 0xfce60fc7, 0xbd540478, 0xde9b367b, 0xc3b07c5a, 0x001efc20, 0x471928fd,
+    0x542f1272, 0x146f87bd, 0x0c627ee7, 0x8048ea16, 0x1f27f2ee, 0xf9800fc8, 0x078a9785, 0xb5944d39,
+    0x772a845d, 0x12d23864, 0x634a8a57, 0xb91f67a6, 0x0f7b4f94, 0x7aba65dd, 0x30080866, 0x7ed3f270,
+    0x609da63d, 0xb07a98d4, 0x7971a32f, 0x1c701899, 0x5f2001d1, 0x57cfe6f1, 0x6d330708, 0x85c78296,
+    0x1776287b, 0x6cabca12, 0x16d42f11, 0x284aaedf, 0x572e7748, 0xc5754757, 0xe867c419, 0x5c42e8d3,
+    0x4e2c678f, 0x212aa131, 0xcbf2a24e, 0xa66771b0, 0x34dbb0e3, 0x07f4e04e, 0xbe6d3996, 0xd53fe26e,
+    0x9a3d343e, 0x2a73567c, 0x96266220, 0x52dd09f9, 0xe1efc113, 0x56aeb935, 0x8a5d1cb5, 0x48053989,
+    0x91e96d7a, 0x368ab7b6, 0xb2249092, 0xa26b8956, 0xe1a467cc, 0x88cb6eb6, 0x623a2805, 0x3b5846b7,
+    0xf9cec598, 0x75253f11, 0xe2afa702, 0x6ea953cd, 0x10571722, 0x87dd5698, 0xaaf3a7dc, 0xb87aedd3,
+    0x2457c8bc, 0x3c90f8e7, 0x5341afe0, 0xaffd0af6, 0x46d53d15, 0x9562f9d3, 0x65555c1d, 0x80771352,
+    0xdfe8e3d5, 0x0a4832b2, 0x3f558118, 0xf84aacae, 0x56e3ba1e, 0x126c74b9, 0xb8312bc1, 0x0833982f,
+    0x6a17f862, 0x51ae3794, 0x4343f270, 0x8627d314, 0x8cb51c85, 0x752cd1b7, 0x50aa7ac3, 0x981d688b,
+    0x0d651024, 0xc7444979, 0xf05de00b, 0xa60c3697, 0x4c85d127, 0x600b59db, 0x8782a6d9, 0xbadf3cfc,
+    0x263c57e6, 0x94d9ac3c, 0xc162904b, 0x372ce101, 0xf7a2e759, 0x39572b5f, 0xdd9563e2, 0x1a4f549c,
+    0xe80e8dc5, 0x2c533a61, 0xddde1b58, 0xd6aea2e1, 0x9a668b8a, 0x0556b838, 0x062482b1, 0x96177af6,
+    0x415c09fc, 0x22fdb155, 0xd197d24c, 0x48a2e8b8, 0x99855f67, 0x344431dc, 0xbb9a4bdd, 0x7d66ab89,
+    0xff10cf23, 0x6cde29b2, 0x07c7647d, 0x01ae9c48, 0x6b7f8484, 0x9c457231, 0x4b41c989, 0xca562410,
+    0x04c070f7, 0x08d90c8f, 0x0decf46d, 0xd233af50, 0x34e266c4, 0x3c656f00, 0xf7836af1, 0xdd93a9b4,
+    0xcda2ed50, 0x67899e9e, 0xf49f6753, 0x63d0bf1a, 0xbb406ea7, 0x96712b38, 0x53c4b924, 0x2219423e,
+    0x7a6777fc, 0xa42fc1b7, 0x10585749, 0x366001ab, 0x9284314c, 0x20e7a7d1, 0x79fe211f, 0x7c47bf6d,
+    0x1d3b4d82, 0x59a1dcc5, 0x4d21772f, 0xe18789f8, 0xfd6ec650, 0x72b2a7ec, 0xc35d3760, 0x682ad685,
+    0x13f888b8, 0xf78353c6, 0x9b256635, 0xcadee019, 0x909ca5ac, 0x265d3c76, 0xeb639ed5, 0x8fa61c5a,
+    0xee20c1a6, 0xd427b2fc, 0x7d4f3b36, 0x03bcbe13, 0xe438cb76, 0xf9919b6c, 0x41afc6e0, 0x07be0d79,
+    0x74806852, 0xe38ec9cd, 0xb3e618ea, 0xff287127, 0xca547335, 0xf16b29de, 0x7e5b0863, 0x02e55c31,
+    0x6b8ca1cc, 0x575ef529, 0x31936bcc, 0x76da88c7, 0x7fa46f60, 0xb6802bc6, 0x51801998, 0x779d2cb5,
+    0xf12937a8, 0xac245c0a, 0x9ee64a75, 0x1d649b79, 0x78cd62e8, 0x78fd0485, 0x7ea84899, 0x32be02a0,
+    0xbf9d125d, 0xe75da47c, 0x095d8c5f, 0x9e5e1911, 0x4d643fe9, 0xe2d2afc3, 0xd06291ba, 0x6c19a32d,
+    0xa24ef016, 0x16f1112d, 0xbb6f7178, 0xf0d81756, 0x2f6f38fe, 0x47dfc897, 0x07c62bc2, 0x62c0e251,
+    0x3ff3dcb4, 0xd59d3a02, 0x6b610d25, 0x93224d59, 0x459ac097, 0xdbfafaf2, 0x7b319323, 0xaebfa862,
+    0x8744db66, 0x1bd78fd6, 0x6f3b211c, 0xc8a7c411, 0xdbc8c7d6, 0xabe99c3c, 0x3e8ea62f, 0xb1c6da95,
+    0xe860ddce, 0x19141bf3, 0xb3445649, 0xe2dbf5c3, 0x4f10eb0f, 0x8dd366ff, 0xdccd20f5, 0x2a7d2e65,
+    0x53ad7d27, 0xb2b63a65, 0x16dcfe52, 0x013fe1ad, 0x2ea5c102, 0x1a38211d, 0xbf32201b, 0xe47f9d8c,
+    0x9a107ce1, 0x78bfa4a1, 0xb100ee1b, 0x4b608a93, 0x1783f5fe, 0xe848b351, 0xa36ddee6, 0x26f77de2,
+    0xbc289102, 0xe17a7ed6, 0x09d84615, 0xacef97f1, 0x150a6f3e, 0xa7960ea5, 0xfe51473b, 0x612013ea,
+    0x2521d60c, 0xb046424a, 0x3afd0255, 0xc0ecca4b, 0x1c3f9b9d, 0x30ca8611, 0x53ff770f, 0x78fe82d4,
+    0xac0c2235, 0xf0a3de1f, 0x2426bd64, 0x1d2b150f, 0x4c51cb17, 0x4da14481, 0x45e59eb2, 0x3f166c25,
+    0xc997cd91, 0x6d5b1fcd, 0xc0fbc37b, 0xfd74d334, 0xc697db6c, 0x37be664a, 0x5cd4c8b7, 0x8c9c2797,
+    0x147de489, 0x29a131d9, 0x0f415b5b, 0x37c12784, 0x0556cd66, 0x60244859, 0x840f25cb, 0x86facc8b,
+    0x8fcbcfd1, 0x9791b284, 0xc3294c14, 0x88348e7c, 0xfd643ac1, 0x90172252, 0x99768997, 0x470e4b62,
+    0x034312dd, 0xe30569a2, 0xd062c53b, 0xaec550d8, 0xa7361e1d, 0x5cc79653, 0x8fdbe1c1, 0xd97e930a,
+    0x71df5928, 0x5e2ade4e, 0x31fee45b, 0xc62f5147, 0xd32ac6f1, 0x69a70fb9, 0x195490bb, 0x5573c02e,
+    0xf72b377d, 0xee577760, 0x0a30c4f2, 0x59484272, 0x8e39f977, 0xfbd885f6, 0xd67fb782, 0x489871a6,
+    0x542f72f5, 0xd291e642, 0xca6e6173, 0x609d132f, 0x58551f1f, 0x816facc0, 0xdd567357, 0x2d342131,
+    0x75365fd0, 0x5763b056, 0xda19eef1, 0x183e0841, 0x39a7e6a6, 0xf7fa2393, 0x5543c660, 0x2f4eb6c1,
+    0xe6312b0b, 0x66b2b9d0, 0x5afed5d1, 0x574e6083, 0x3ec9f6f8, 0xb057e078, 0xa5aa8b8c, 0x37397a57,
+    0x9572edb5, 0x7059713d, 0xbe5ba4dc, 0x05b85e98, 0x682b3638, 0x6dd12c07, 0x4b4bcda8, 0x4b6abba2,
+    0x0276d4cb, 0x8210a4f2, 0xecac1716, 0xbe5901a4, 0x783382a9, 0xa67fdc94, 0x7bee9b8c, 0x7381da26,
+    0xa21d831b, 0xdcae61f8, 0x856b3ad4, 0xd41e20d5, 0x850c0c9c, 0x689a4ae6, 0x88856baf, 0xb4792ae1,
+    0x3ad8d036, 0x8e84e8a5, 0xffd050c5, 0x08a39128, 0x5561cfb9, 0x9bde1193, 0x66d8b243, 0x950907c1,
+    0x56bee772, 0x5099f062, 0xb0e6a76d, 0xdc07a8da, 0x99eb1923, 0xe29c8297, 0x4a19b170, 0x4117812a,
+    0x7e3971f9, 0x5107362f, 0x109a62bb, 0x3ad316cf, 0xdf236148, 0xa992e1ec, 0xa530c80e, 0xe8b97172,
+    0xb884b672, 0xc6d416a0, 0x408a914c, 0x8bd05769, 0x3feb43e0, 0x62f9a497, 0x2664d4e4, 0x48ffff7f,
+    0xe201b836, 0xa6ee2db5, 0x5718ab1f, 0x678f3a01, 0x3f99a1c0, 0x5f750408, 0x48656fb3, 0x3b251ec7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000001532495540865888858358347027150309183618739122183602176 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d275, 0x40390989,
+    0x00000000,
+    0xa1a3b763, 0xb98f11d1, 0x40904dcf, 0x013363cb, 0x4e33866a, 0x71a5928c, 0x90b4c0b7, 0xae430041,
+    0x9e3efdd0, 0x468e3393, 0x403bbcc1, 0xe661b51e, 0x1348cc8f, 0x7e81f087, 0x032fab80, 0x0091615a,
+    0x6539fcc8, 0x9bb2af38, 0x7757a88c, 0x91aced71, 0x4adce4ee, 0x22bfc749, 0x03575910, 0xae931be8,
+    0x884e8ac8, 0xf02acdd3, 0x1b34dea5, 0x89d4fb47, 0x4ff5e712, 0x9ada47c8, 0x5f1dbf3c, 0x2bc332df,
+    0xc091ecfc, 0x4e61597f, 0xca1c0b92, 0xaf75ef55, 0x22eb1238, 0xe41fe502, 0xde436c0c, 0x365f125b,
+    0xd415fb89, 0x30dc84c1, 0xd5734214, 0xff6dc29f, 0x7e80d4a5, 0x01df94fe, 0x36b5ae2c, 0x11f001f8,
+    0xa4b05a77, 0xa6753b3f, 0x301f89f3, 0x8e3bd0ff, 0x6124feba, 0xda668842, 0xeca8ddcd, 0x342c4dd1,
+    0x9c5e6c55, 0xd1c39610, 0x4423c848, 0x0b4336f0, 0x3b768529, 0x65370257, 0x0daedb7b, 0xf087e764,
+    0xc0dc4805, 0x10be1a1a, 0x0e24861f, 0xcca94aff, 0xe2f1f0e6, 0xe878b508, 0x7764b473, 0x5e6d77f3,
+    0x1025b668, 0xaad6c98b, 0x2944daa8, 0xcd5c7b38, 0x4b48fe70, 0xa62bcda5, 0xb997388b, 0x49bec875,
+    0x25305259, 0x0ba57596, 0x7d241a3b, 0x85c19506, 0x0450eb3b, 0x5c3dcdd2, 0x8097ab34, 0x8fd1411f,
+    0x697b0f14, 0xe069f833, 0x5843eb8d, 0x63565daf, 0x6d2a74d3, 0x205c3105, 0x3afdc1b1, 0x655cc93c,
+    0xd3abb1c8, 0x3a62a6ae, 0xcc23f863, 0xa018b1b4, 0x2614ac7c, 0xd6c0c088, 0xcc7b2697, 0x9c238d16,
+    0xeb4d8d6a, 0xb30a06ba, 0xc23eef01, 0x48de5421, 0x25dc1dfe, 0x1a30b882, 0x3e8262d3, 0x907708bf,
+    0x7bac9c4e, 0xb4d9d1b7, 0x3ca9e07c, 0x2ed4d3d6, 0x4480d50d, 0xeda94a37, 0x4f9c048f, 0x04ec6ca2,
+    0xb261789c, 0x3659e005, 0x4605d5a6, 0xdf1fa9bc, 0x080d9df2, 0xf96f906a, 0xcc4bf370, 0x02e91bce,
+    0x46caec31, 0x0f064788, 0x074c061d, 0x730e7a60, 0x0282ff15, 0xf5b34b35, 0xbfc84770, 0x0446c3c1,
+    0xc348b023, 0xabf24727, 0x879fc183, 0x43bdddf0, 0x045becbb, 0xfe1df77d, 0x69ee4153, 0x601e997e,
+    0x024c0114, 0x9c0ef8a1, 0xa607e718, 0x157932f9, 0xd5e9a996, 0xde72f0e5, 0xfc19b2e4, 0xae61fd87,
+    0x10cfe21e, 0x2d269d09, 0x23b05ecb, 0xcf472321, 0x7de27877, 0x2cf868e8, 0xc97a4090, 0xf89e0e85,
+    0x657aff6e, 0xb5b6ce12, 0xb90cede5, 0x5015ae61, 0x717f6f23, 0x2fff3978, 0xcbce703e, 0x5c15235b,
+    0x1c0c5614, 0x86057401, 0x5a681ed8, 0xc7289349, 0xca06a4c0, 0x8fcd486a, 0xa8e896d5, 0x51038bda,
+    0xf92508e4, 0xc23b1b5b, 0xe3ba47d6, 0x3ddf1624, 0x032039b3, 0x8020184b, 0xfaf0dd60, 0xc6aee031,
+    0xc8b4e773, 0xfebbe8f8, 0xf531c4fa, 0xf6ef1131, 0xdf90ff56, 0x75088c3e, 0xf8119168, 0x8470dd9f,
+    0xefdd9a7b, 0x930fc149, 0x52a3e6fa, 0xbf134bd2, 0x0213b679, 0xbac284e1, 0x30e7debd, 0xcc94f3ee,
+    0x29370ec8, 0x6a7c071b, 0x72271465, 0x6ad42d7b, 0xcf5b2dc9, 0xda7fac68, 0xe2c1f69a, 0x4bb996bb,
+    0x0bdf47e7, 0xb7d0802c, 0xbf3ef273, 0xf8607dd8, 0xe211574d, 0xaf305ddb, 0xaa114d1e, 0x0a191c2b,
+    0xe8f3a1d9, 0xb7982bf6, 0xcd7b09b3, 0xadeb6100, 0xd3e9b62d, 0x6cf349e6, 0x17bfc1dc, 0x458875ed,
+    0x55976176, 0x2a6c9f73, 0x6551df08, 0x2d722dd7, 0x2a68d0a3, 0xae7c9ff2, 0xbdd61ee2, 0xfeed7f8c,
+    0x4d23b234, 0xf0c718cb, 0x05d63e82, 0xbb309091, 0x681dcf2b, 0x4b0dcb11, 0x71c0d175, 0x6df13669,
+    0xca77baef, 0x6841dc17, 0x1b6711b2, 0x051259e8, 0x70fef0d7, 0xee017d39, 0x6cc0d37b, 0xbc83819f,
+    0x6896a168, 0x7a90408c, 0xb502ce66, 0x50c084ae, 0xa137d6b9, 0x7419d424, 0xb0dc6092, 0xc64b044f,
+    0xf24edd4f, 0xa8b2af79, 0x0cb3d9d7, 0x7490fb7e, 0x29c7f3b0, 0xbac90968, 0xeb92a6aa, 0x77495b25,
+    0xa2cca000, 0xb2fd1d7b, 0xb42da868, 0xd19a628d, 0x4d662357, 0x9a47929a, 0xa80d0608, 0xf828d0aa,
+    0xf7ca4ef8, 0x0d7b9b06, 0xb07d13b3, 0x41fb9635, 0x0b44df38, 0x9aa5896e, 0x2c3de971, 0xd5667644,
+    0x807450bd, 0xda9b9bc0, 0xc46f2602, 0x6f7f19a7, 0x6f3d3d41, 0x695d9e05, 0xfbad57c3, 0xb9183517,
+    0x79d4352d, 0x5a3178fa, 0x69370bb2, 0xc926ac73, 0x2d4a6e8a, 0x7c1c650a, 0x2ef12b91, 0xb0d258ad,
+    0x13cce0f4, 0x8775550b, 0x6015b9d3, 0xd458b807, 0xbc22a0b7, 0x893dbe89, 0x0f833b64, 0x2b08a990,
+    0x0961a265, 0x9b1ef81b, 0x47a42d0d, 0xdbf46405, 0xb690c46b, 0xd0eeba3c, 0xe227f5c5, 0x3b1c26ec,
+    0xaf4aa70f, 0x33da9b06, 0xf8792446, 0x663ebca9, 0xa3f82168, 0x2b5fd0e9, 0x927897a8, 0xbccf2177,
+    0x14b57cd5, 0x7f0b158c, 0xe6632c29, 0x97f89f67, 0x877cabc1, 0x7244e671, 0xa283b5e5, 0x894dd857,
+    0x33b9d73d, 0x221ad6f6, 0xbad6f278, 0x947e17e1, 0x3d8a9bf3, 0x28a062f4, 0xecad8002, 0x7ebda010,
+    0xea59f607, 0x96318a03, 0x5678e7d0, 0x48cceffa, 0x6c21bbdb, 0xf8c218f4, 0x45d0e168, 0xd8f8fb8e,
+    0xbe28b036, 0x772d2c6a, 0xbdcbd296, 0x41343289, 0xdc29532c, 0xe7296a50, 0xfa29a5d4, 0x057fa277,
+    0xa977bcbc, 0x36badf7e, 0x73275af6, 0xf9f548c5, 0xaaa93e48, 0xf665e2b3, 0x30d93bdb, 0x4f395485,
+    0x43f71df4, 0xf4b36022, 0x4696f612, 0xfe53368a, 0xcf4a061f, 0x39fe2211, 0x59aefd49, 0x2884e4a6,
+    0xb1ddaa62, 0x65fb28b3, 0x82b0b023, 0x26f72608, 0xcccb0a6f, 0x3351708c, 0x3355ae67, 0x3935e4ab,
+    0xfcebfff2, 0x9165c071, 0x011730b3, 0x1b1a3f64, 0x7fc8bdbe, 0xcd134e2b, 0xc3d07391, 0x63085895,
+    0x8abe32f1, 0x844774b9, 0xed765bac, 0x94d45a40, 0x15990c4f, 0x6fd83d2a, 0x1f85b66d, 0xbe52228f,
+    0x841db7fc, 0x52343bd6, 0xb1bf9847, 0x4fd9799d, 0xa84eb67b, 0xe3618517, 0xbbe23bd2, 0x6d8192e3,
+    0x52e03382, 0xe260c7b9, 0x3f5f021e, 0xfdccce0b, 0x8720d9c2, 0x7be8ae60, 0x398ac596, 0x44de4626,
+    0x1f877c44, 0xdd73ce46, 0x39a37ad4, 0x1e285aa2, 0x667ce038, 0x98ecf617, 0x6c4c0290, 0xcdfb49ca,
+    0x7a56f4bb, 0xe706c6cf, 0xe0da8558, 0xd5a37ce0, 0x455f65af, 0xa99ee486, 0xec796c64, 0x76e8f5a2,
+    0x5a0f8f4a, 0xe0a2a091, 0x86b28b9e, 0xb2994179, 0x703feec3, 0x48449101, 0x07339e25, 0xf4fe7778,
+    0xe12fd73c, 0xa0e4a8a3, 0xcb311427, 0x9b3b87f0, 0x6403fe96, 0xb3fea1d9, 0x4f9551d3, 0xace547ce,
+    0x38c6fecb, 0x5c6f7b0b, 0xeb91ab73, 0xff5234c5, 0xafe869b5, 0x96face7b, 0x3e92edeb, 0x9f2967c4,
+    0xbc4ee468, 0xb453cb2d, 0xb19f4097, 0x21de3d7a, 0xc0200441, 0xd2434664, 0xdd53ffcd, 0x422c3f65,
+    0x25631f81, 0x79acabc4, 0xbfa2c24c, 0x33ed7632, 0x31d958cf, 0x9f8be6e4, 0x0abd89e4, 0x6351a343,
+    0x1023e906, 0xb98cdead, 0x7b912670, 0x0da34001, 0xcdeadad1, 0x1c45607d, 0x588c2417, 0x4b3cf2a3,
+    0xcffc7751, 0xd7024f94, 0x94d334f8, 0x57cbbb1d, 0x0feb3c5e, 0xadddfde0, 0xaa3698fb, 0x85f0450e,
+    0xd2b8695a, 0x5152f7bc, 0x263addaf, 0xc75ce3d9, 0x61a58c06, 0xf85ef375, 0x51ab3918, 0xccec1fbe,
+    0x66b0a76f, 0xd54a0a34, 0xf50d68bf, 0x2cd7b714, 0x9d2b124b, 0x0c115cc4, 0x348155ad, 0x7aac3aa4,
+    0xb2252910, 0x57413002, 0x43b95a40, 0xe3f01cc7, 0x705d1560, 0xc06eab06, 0xba87ddda, 0x40f3c68b,
+    0x7bab78e7, 0xb9e60261, 0x4c2324a3, 0xee6b8915, 0x9d44a058, 0x725dc12a, 0xfaebfae4, 0x1843428b,
+    0xc496b663, 0x25011c54, 0xee71a665, 0x9dcc741c, 0x8c54233b, 0x6b7c5eed, 0x56e578b8, 0x32b5ae78,
+    0xf5254e2d, 0xb3996c5c, 0xa6aed775, 0x998f03dd, 0x1542cb69, 0xb151cf03, 0xabd6f915, 0x8c6efe6d,
+    0x0cdb6f58, 0x126b2163, 0x1a02bd2d, 0x62d7534a, 0x005082c2, 0x92fae43c, 0x53f61c92, 0x5fd72612,
+    0x3de8f71c, 0xe3a1635f, 0x70af3d41, 0xca57fbb4, 0x767913f3, 0x9cf9fdfe, 0xa347f179, 0xbf40ed3e,
+    0x7e985cfe, 0x75eaad59, 0x8debe18f, 0x135df9c4, 0x3b243461, 0x93c6920f, 0x193d8507, 0xb53da337,
+    0x9dccd833, 0xa50c77d2, 0x61ac00e7, 0x14f79240, 0x310474f0, 0xce0ef2ac, 0xb608fbf6, 0xae05d626,
+    0xf658a485, 0x8e85e0c9, 0xc5c676c6, 0x9b69d3bf, 0x84a2cf41, 0x5dd32edf, 0x43e37ce4, 0xa105dab5,
+    0x8cad2da3, 0x505eb2c9, 0xd3d55efb, 0xcb986584, 0x9afd377f, 0x9087a888, 0x215571f6, 0xd27b6db5,
+    0x698f9f51, 0x7c51e0f9, 0x3288685f, 0x08b7217e, 0xfe577bd8, 0xda1e72b0, 0x03dcb813, 0x115ac7af,
+    0xce61d290, 0x291ccf2f, 0xb9a691e0, 0x2fdf9617, 0x3409c379, 0x75de004d, 0xb6d0e8ef, 0x69764e9c,
+    0x079d90a2, 0x08729e75, 0x313b7727, 0x9d41400a, 0xa35223ec, 0x56afcfe1, 0x76880167, 0xc8bdf4f0,
+    0xa9394712, 0xcb069494, 0xb236c3fc, 0x5498c6bb, 0x1b9bdeec, 0x5e1cfab1, 0x1a51434d, 0x5eb5950b,
+    0xe94de1fc, 0xa0567851, 0xe387d39c, 0xcdc18a8e, 0x3e37aa38, 0x7f834771, 0x43fe2e32, 0x4beedd9d,
+    0x8df974fb, 0x376b6499, 0xe0fd768b, 0xae4b2253, 0xb847942a, 0xfb4d6890, 0xf9d0ab09, 0x5df195cb,
+    0xfaf11554, 0xcec849a0, 0x2f741a49, 0x748512c4, 0x12fc527c, 0x99ed5515, 0x6fdc2361, 0x41b415ac,
+    0x9aca5fc8, 0x16e4a3c7, 0xbe803282, 0xc42f7efd, 0x44d417fb, 0x6a05fafd, 0xe0d86f59, 0x917a3e54,
+    0x6e2e9ccd, 0xdf389758, 0x9b1479ef, 0x79655acd, 0xfb5adb94, 0x144788af, 0x83cdf101, 0x21f3cb62,
+    0xaa39a3ff, 0x2fa7d04b, 0x6239a34d, 0x1c4d992b, 0x2f1fae96, 0xf393892d, 0x5df36e09, 0x803128ae,
+    0xd0ad1486, 0xd4a71a7f, 0xb725f883, 0x08085d76, 0x5b534c26, 0xcc148d5b, 0x5e16b719, 0x31805f25,
+    0xf8a7a9da, 0x0396af39, 0x6cc940d9, 0x3325b1cd, 0x831c67d7, 0xa22da204, 0x87748436, 0xc2337bde,
+    0x01ccb717, 0x22e38096, 0xfc7a30e5, 0x12eef371, 0x2c60c7ab, 0xf14c2ecb, 0xc3699412, 0x5fbb39f1,
+    0x2414010e, 0xdbadc23b, 0x4b6112fe, 0xa3740102, 0xab223373, 0xad9e7b61, 0x712ef1a7, 0x82bf547c,
+    0xdd3aff18, 0x6506c332, 0x2d21ba42, 0xbedb9e16, 0x3a3d5ab2, 0x879e5c4e, 0xe9e8e15e, 0xbdbab4bd,
+    0xfd2805d3, 0xcd5c7a31, 0x2457e344, 0x5cf07e44, 0x5b339c81, 0x459154f6, 0x6fef6929, 0xe2d25836,
+    0xa21d2056, 0x20738f7d, 0x5c12ec7e, 0x6b266589, 0x960928c6, 0xce7a4164, 0xc2913ec1, 0xdec001ca,
+    0x6940ae35, 0xc8f7da5f, 0x4a26edc3, 0x42f7990b, 0x3682f6d6, 0x6d72d638, 0x083f4005, 0xbd589266,
+    0x05bc6166, 0x0caa393d, 0x19bb47bc, 0xa615878e, 0xca78b06e, 0xd824bd95, 0x99511bda, 0x61090ce3,
+    0xb811158d, 0x840f17ee, 0x5821d9ba, 0xfd8761d5, 0xaa42926d, 0x5b6d7f90, 0x219606ed, 0x91b79a59,
+    0x43003534, 0x2fd94884, 0x2f69e994, 0x3e24ddd5, 0xefce247f, 0x66f77ca7, 0xd9f18ca0, 0x27a00960,
+    0x4cd00ef6, 0x15ad4ff3, 0xdde30368, 0x78d1987b, 0x3272a033, 0x8e5e9556, 0x6b56f28e, 0x91fa5841,
+    0xde900102, 0x69083657, 0x4dfd818f, 0x4ea58074, 0x9c019e08, 0xa9dfd5f0, 0x49ebb8ce, 0x7dcf97c6,
+    0x4e989691, 0x6fcef031, 0x74b3dcdb, 0xe2f4277c, 0xe8a8061e, 0x3fe63e07, 0x08c76a11, 0x7843f8c1,
+    0x446187c6, 0x28a75e83, 0xb9e40afc, 0xfd140b4b, 0x14070446, 0xbb950f38, 0xb734c2b7, 0xd3a6e65d,
+    0x101345bf, 0x40cdc924, 0x4e7bec78, 0xdfa5cd30, 0xe0307b5c, 0x8c0d43aa, 0x0e14ba03, 0x3bd29e90,
+    0xcd711b14, 0xedb956d5, 0x2e0e913c, 0x5dfcbca6, 0x8dc7f849, 0x331ee1e4, 0xbffe6cc6, 0x871d4ee3,
+    0x44440603, 0x976ad27a, 0x022f7e2f, 0xc74a0744, 0xb503499a, 0x7d3acc35, 0x98d6acc5, 0xad4828ed,
+    0xf183cb9b, 0x55e3b44b, 0x90d8075e, 0xe0a518d9, 0x321b2a77, 0x86523090, 0x81816525, 0xada406fa,
+    0xd2d8c7ff, 0x3fc68516, 0xa2dc69a5, 0xfea5124a, 0x7adc87f1, 0x30422a04, 0xb5254ff5, 0x9bb8ba17,
+    0xab93d416, 0xa88a8aec, 0x539194fc, 0x0aca95fe, 0x06b29681, 0xe791fc52, 0xc602ec9c, 0x01dde025,
+    0xb7a3d262, 0x2f39a34c, 0x699ed5fe, 0xa76891a1, 0x30a64bc5, 0xc96240c8, 0xb91f36d9, 0x1e1a78fc,
+    0xd8e8169d, 0xfe455cd2, 0x914cd5ad, 0x16b38155, 0x34955742, 0x9d86055a, 0x310576a6, 0x848fce8d,
+    0x6b0b5fc9, 0x3bc2ce56, 0xdf452b62, 0x867e830d, 0x9b21388c, 0xe6c09b71, 0xb05df98f, 0x954ee618,
+    0xcbf815c4, 0x929b0aa7, 0xbb91312a, 0x6909bb91, 0x04211aa0, 0x6301c14e, 0x43a5392b, 0xcca2e4a1,
+    0xfcc3cf49, 0x228c28a1, 0x57c6654b, 0xbf7c34c3, 0xfd4e1a72, 0x4e64d6be, 0x3c2c6956, 0x3a8aeffd,
+    0xaed176e3, 0xa85a84ff, 0x632e314c, 0xe2fa9bcc, 0x67f55f6e, 0x396ada9b, 0x0f9169c2, 0xf6bd5f77,
+    0x2a72202b, 0xc1686ee5, 0x13ae6b79, 0xfda0e6ad, 0x2c408b94, 0x5ddcb76a, 0x930fd8bd, 0xc59175de,
+    0xd2ca1891, 0x8e2658bf, 0x7146e2eb, 0xf5d510c7, 0x995a7d57, 0x9f0adc19, 0xd046963d, 0xb2d5a95f,
+    0x73b1913a, 0xe47e2977, 0x99da9fb1, 0xb024691c, 0x77081928, 0x6d983de3, 0xe53c0250, 0xc98228d4,
+    0xe004f012, 0x418f9f1f, 0x7c127225, 0xe579ac79, 0x48ce925e, 0x2f14c6a0, 0x1825df8a, 0xb3f56c46,
+    0x6e5f2b53, 0x42d7eab7, 0x8c21f983, 0x2c28ebaa, 0xe20b2b94, 0xe84ab0a4, 0x1f043743, 0xd595f05e,
+    0x37cc0b1a, 0x5952cc7b, 0xa3e3afff, 0xae5436f1, 0x9b07d133, 0x5a7b81e1, 0x3689c82e, 0xd925fdcf,
+    0x40f5d854, 0xe63d4731, 0x79a73a0a, 0xcd734718, 0x9d18243b, 0x27795e64, 0x53148f54, 0x9e59c2de,
+    0x54083301, 0xfef3d2a0, 0xd84e4b38, 0x71e42f48, 0xae19e17c, 0x04d91e8d, 0x3c68f385, 0x559dc1fe,
+    0x0844be67, 0xbaefe3f6, 0xefcbc302, 0x9f35d9c0, 0x98d01d5b, 0x09bc4935, 0xfd225920, 0x9be4dff9,
+    0x6422388a, 0x0c6e2d7e, 0x6ea1a785, 0x8f4a334a, 0xa04e7cde, 0xaae49d25, 0x0e7bd34b, 0x54c08c74,
+    0xef43628b, 0xac6a036e, 0x326ede57, 0xa7fac3fe, 0x3fe510df, 0x4ac33f93, 0xf42b6229, 0xe865b87f,
+    0x3d2a94e6, 0x42173823, 0xfe37de0d, 0x8ebfe45b, 0x1c5bd5e5, 0x724ea1e9, 0x22b1c5dd, 0x59d30ad7,
+    0x0989a697, 0x60ba9d34, 0xb8b4a1e5, 0x43fcc389, 0x34d2a161, 0xc627675e, 0xc38e7445, 0x4e332d95,
+    0xcd973f54, 0xb5308563, 0x1aa8924d, 0x94223d4d, 0xc0574df0, 0x3eb43e8a, 0x8353c255, 0x5623f545,
+    0xbb344955, 0x4ded477c, 0xfb419194, 0x2ef8715c, 0x17b42010, 0x88b1bd6c, 0x7a4b2fdb, 0x187d140b,
+    0xb3f46575, 0x20189ee4, 0x7f20fc57, 0x1342f797, 0xf06164e7, 0xe0e9d8ce, 0xde12f9b9, 0xe3275971,
+    0x3a5f9f0a, 0xe421799b, 0xb61a4b90, 0xc8fcf739, 0x0255ec3c, 0x328115e9, 0x6d5e11b6, 0xf86606b3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000766247770432944429179173513575154591809369561091801088 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b32693a, 0xa01c84c4,
+    0x00000000,
+    0x8fd6f653, 0x581907b6, 0x0d059fef, 0x2a0e76ab, 0x962732bf, 0x913f06b9, 0x303cb28f, 0xeb8d358b,
+    0xfb134db5, 0xf33cfc4b, 0x50076059, 0x4c786f45, 0x16e4d729, 0xc84a444b, 0xb42fa6b6, 0x57316bc2,
+    0xaaee851f, 0x9f5e8ebe, 0x582189e8, 0x987b3071, 0x6bdb6285, 0x257e04e1, 0x4d1e711a, 0x7a127dab,
+    0xf2026a01, 0x7029e9c5, 0x13723588, 0x6998a763, 0x19fd381c, 0x2bd54ee3, 0x491e2f4d, 0x5a64e75a,
+    0x2e8a950d, 0x22c0b10c, 0x23ebd3a0, 0xb27d1cca, 0x0abf7584, 0xda6fcc23, 0x1bd95d6d, 0x04e74fe0,
+    0x9a93a571, 0xe809a440, 0x40bc5b30, 0x008d886a, 0xf01fbf23, 0xf6b38754, 0xb5ce33d9, 0x93d9556e,
+    0xa4c62069, 0x98786b21, 0x9e6ae99d, 0xcf82d04e, 0x0119e67a, 0xf0e001ab, 0x55337975, 0x198b45f4,
+    0x5a9cba95, 0xc014d5ee, 0x4d40cf12, 0x5caf401d, 0x00ab03cb, 0xb7b0f919, 0xbf632401, 0xe5810907,
+    0x3124f7b8, 0x66364626, 0xa8e983be, 0xe4bf1a05, 0x8e267c0a, 0xada349e5, 0x778abd8b, 0x62879bfd,
+    0xd4950b52, 0xb961ca79, 0x327f4f57, 0x29528c92, 0x98996a4f, 0xfaa0b811, 0xce7d113e, 0x4368076d,
+    0x0ad58aad, 0xd1f5693a, 0xf5b0971d, 0xd4689af5, 0x993f03af, 0x855cd560, 0x431351f2, 0x8e73ce76,
+    0xcf90157e, 0xd381ecf5, 0xf07a13c0, 0x5ff0592b, 0xc5781178, 0xe43e93b1, 0xeaa32b06, 0x9fe3f28a,
+    0x07a3f17d, 0x1c616c78, 0xd56e49ea, 0xc79d59cc, 0x97726df1, 0xebe27a5b, 0xe8039b97, 0x37cb7924,
+    0xb84e3e29, 0x82432ce3, 0x579e76c7, 0xa827e3e8, 0x302da3ec, 0x43569ceb, 0x96882b51, 0xe0b29da6,
+    0xb3a92da8, 0x0bd48b18, 0xf4a32bbf, 0x2ce69cff, 0x06cdddbf, 0xfb4d14f6, 0x7099c1ec, 0xfc87a685,
+    0xbb1c6c47, 0xfaafb537, 0xf6e16069, 0xff54bac4, 0x317e2e44, 0x637eb7ff, 0xd2124938, 0x1a5f8b0e,
+    0xe9dc6db2, 0xcec08736, 0xe3bb0a81, 0x40fcccba, 0x31905109, 0x3295b64d, 0x8e591859, 0x628d2cf0,
+    0xab13228b, 0x7e74d771, 0x9b211125, 0xae661805, 0x159826d4, 0x5fbd3779, 0x719fad26, 0xcbb92a1d,
+    0x9a26d56e, 0x0d326b8f, 0xac9c7d14, 0xe0752832, 0x5e50665c, 0x460d465a, 0xbabf0996, 0xb9c9a14d,
+    0xb6e69f13, 0x55702e1b, 0xbac4d2bb, 0x9e10c309, 0xddac7e82, 0x8412ddf8, 0x5a9b2673, 0x24edc43f,
+    0xd337b370, 0xa13c5d02, 0x00de56ee, 0x606c7767, 0x204684b4, 0x6012740e, 0xf8d20974, 0x44c18372,
+    0xf8c91c6c, 0xe782ea98, 0xeb0064dc, 0x6a1cd424, 0x236b295e, 0x8e9aa74b, 0x7a1eb399, 0xfb58ee47,
+    0xabea6086, 0xdcb30494, 0x8a808854, 0x19f9e969, 0x144726e2, 0x4ab5b2e0, 0xe0dfa7b1, 0xad275375,
+    0x337bacd8, 0xa02e9617, 0x452ce406, 0x5eb9d559, 0x728692bc, 0x949037c5, 0x9da2b5db, 0x3731b19b,
+    0xa7cfa064, 0x97863486, 0x833e100d, 0x951e9f6e, 0xdd6f5a24, 0xb8d958d4, 0x9c833a2b, 0xd10d2ed8,
+    0x326647a3, 0x8cae4859, 0x99802204, 0xb870e7ad, 0x38aa4b71, 0x6538d571, 0xf9c3c965, 0xba7a12d8,
+    0xea96e3ed, 0x7f5144c5, 0x2401b045, 0xa4cd7da4, 0xaaa00dfc, 0x37aa9b09, 0x88861a54, 0x8af084eb,
+    0xf162ec3a, 0x8cfa4720, 0x1214ad39, 0x1902f35e, 0x6c006055, 0x31978c8e, 0x81318b0c, 0xd123ff48,
+    0xb04b4f13, 0xe0a68950, 0x3116b0aa, 0xf809035b, 0x157c05a2, 0xfd26cfbe, 0xfe520dea, 0x101f3e98,
+    0x69f6d7fb, 0x72475706, 0x41b80e9d, 0xa09647d4, 0x3d2bb5ca, 0x82ba7e16, 0x5d7df879, 0x771800d8,
+    0x16995c8a, 0xa4b87b79, 0x21291e8d, 0xecb31430, 0x4a6a2bac, 0xdf894657, 0xb3054ae5, 0xeeb70ef6,
+    0xae5abc8f, 0x77ac983e, 0xe682d070, 0x7bf5c030, 0x7d2aa53b, 0x13b6139a, 0x82d06df9, 0x1de8208a,
+    0x65cb21aa, 0xa7b9f7f0, 0xc3d61045, 0xfb06f4fe, 0xe3d204b4, 0xcc66b49d, 0x03582c28, 0xae6b636c,
+    0x936d3e04, 0xc284ef6c, 0x853e9d8e, 0x05971076, 0x544a5d7c, 0x2bbec3ca, 0x209803ef, 0xd379296b,
+    0xde0185fd, 0x659635af, 0x4a3e6e63, 0x3a5033e8, 0x61487fbc, 0x40867522, 0xf8862e19, 0xb645e40f,
+    0xdaf4155e, 0x7ee407de, 0x350e85ce, 0xf01ee037, 0x10a04455, 0x9a291d79, 0xe229e66b, 0x7f24fabb,
+    0x2eb3042c, 0xbeecb696, 0x732748d3, 0xb458d153, 0x5bf63680, 0x18b0d9ae, 0xd1da928d, 0x57002fc1,
+    0x3128bb64, 0x282f3b96, 0x60149289, 0x4f64423c, 0xaa2e36e6, 0xbf885f37, 0xe066eba7, 0xa0b34604,
+    0xe248d3be, 0x197fd462, 0x8ac7f716, 0x860d436d, 0x5159ef44, 0xeea78fdd, 0x637236d9, 0x0162b8cd,
+    0x65daef90, 0xcf764812, 0xb93a39e3, 0x8961c5d1, 0xcac71c84, 0xbb8f9518, 0xf48a7a2c, 0x151fa891,
+    0x2f8423a1, 0x29c82ec1, 0x5650d2c2, 0xb3813571, 0xd70a1c45, 0xe23daeef, 0xf8a9d2a7, 0x8ea32803,
+    0xccda125c, 0x2a6da499, 0xb1c73b28, 0x5282e5e8, 0x8972293d, 0xd0699167, 0x2ed2333a, 0x6ddfded7,
+    0x16c27a8c, 0x9d5b5b97, 0x4c6a1688, 0xcdda86dc, 0x5b732404, 0x0a5d59d3, 0xf4871e4e, 0xa282d347,
+    0xad415fbd, 0x83d500a5, 0x867db7ba, 0xaca5f535, 0xe07ce515, 0x7322df26, 0xcd134347, 0x0683be76,
+    0xca3aff88, 0xa73903c4, 0x12c4e350, 0x7e4eb811, 0xc77408e2, 0xb24bbd28, 0xc53a0e7e, 0x33b12dc7,
+    0x63adfd70, 0x9afc08b0, 0x035b2185, 0xe3df5981, 0xefab83ce, 0xd052e5ff, 0x0f94294f, 0xc4edeb55,
+    0x4d8171f9, 0x0eee794f, 0x7324722d, 0x4f57fa9e, 0x424a76ae, 0xdf190e8f, 0xc547d742, 0x4a99bf0c,
+    0x088b2d1d, 0x7a9f8830, 0x2019c8ff, 0xab580897, 0x1e9c9f54, 0xdce9fe17, 0x45087ddc, 0x73d60eac,
+    0x00faab74, 0xdb2c48f4, 0x0a8ef6af, 0xc88fb1d4, 0x2e397f68, 0x08263236, 0x198e5c73, 0xa62302ca,
+    0x1bf8de04, 0x5835925f, 0xfb34755b, 0x52e001f0, 0xb8a03c97, 0x66be5114, 0x81fb0c0c, 0x5877f426,
+    0x2ee33904, 0xad48724d, 0x15d3ce80, 0xb9e4f866, 0x339f7b9e, 0xda12961c, 0x99141cba, 0xfab4f5b6,
+    0x21910081, 0x38836911, 0xd8993bea, 0x8948f57e, 0xc613c71e, 0x1f04ea9f, 0xdf0a676c, 0x0b0f3390,
+    0xc1d2c9b0, 0xd89b6eb2, 0xf792250c, 0xedbdc882, 0x1060a2f9, 0x4d8b2c1e, 0xd18be063, 0x0a215d7c,
+    0xddb67d0d, 0xb8e7b564, 0x839053ff, 0xf9a6e41a, 0x0851946c, 0xe9fe3b32, 0xf074eb73, 0x96514913,
+    0xad6cac40, 0x7a4ed119, 0xb5751c22, 0xdf62e362, 0x4939c03a, 0xb28fbc9a, 0x1fb5ef96, 0xbc4751f1,
+    0xdd87afc6, 0xf572d704, 0xfb50eaa6, 0x0bc9839e, 0x7f983db6, 0x2a65ed88, 0x1017c9c8, 0x1887ad7b,
+    0x8685c340, 0x49eb3cd4, 0x99bfb661, 0xd06804d8, 0xe68a4260, 0x2cb545bc, 0xcc21ec7d, 0xfa742ef4,
+    0xea4b2033, 0x0ce7f69e, 0x99dc5bf8, 0xe00bd143, 0x17e49cc9, 0x0dd47ab3, 0xea7c9c80, 0xba6ee41f,
+    0xb397edcc, 0xf5ebe048, 0x73ad5c48, 0x6a43b713, 0x78d89c6e, 0x1c79fd05, 0xe7d9af12, 0x3817d47a,
+    0x791684d3, 0xb904030c, 0x6266b11c, 0xd7cd3c1b, 0xb67afced, 0xda59f68a, 0x001b2f7d, 0xd68f355c,
+    0x77f4760f, 0x0ee2334a, 0xa5307b9f, 0x78d41e4c, 0x4ec57236, 0xcf4aca46, 0xcaa211e2, 0x6bdf56e4,
+    0xe0dac7f5, 0x915a19cd, 0x27a708ea, 0xcd5ec431, 0x2a962fd4, 0x5ea1d05a, 0xa20f0c3a, 0x1c804389,
+    0x96522911, 0x7805f956, 0x3ef26967, 0xf7e8926e, 0x7df03e69, 0x9dc2f978, 0xe7d5e9c3, 0x3599dea8,
+    0x5ca007f6, 0xae81b9ba, 0x1b0cd25d, 0x9b8cda15, 0x8916ef52, 0x1617a3ca, 0x849615a7, 0x520c2b2e,
+    0x60cf0bbb, 0x17363797, 0xf9ae6050, 0x57ca6b00, 0xe9b6633a, 0x4ea64e78, 0x1799a36e, 0xac6253c9,
+    0x39d816b6, 0xcf54fdfe, 0x45dfd879, 0x6b7a6ab6, 0x9a3f88cb, 0x3f209dd6, 0x8362144e, 0x14a68bcc,
+    0xeef78c39, 0x6712d3a9, 0x05e7adcf, 0x855c5bf2, 0xd97af787, 0xbfeaabbd, 0xcee83c93, 0xe0529bb5,
+    0x73d08882, 0xfedfabba, 0xc13b215a, 0x5931fd6d, 0xd2907713, 0xe8510def, 0x0d9012ab, 0x13df2e64,
+    0x9d04727a, 0x1417d6da, 0x9ad46635, 0xcd39875b, 0xf79ed488, 0xc6d55b7a, 0xa9027858, 0xb7ce009e,
+    0x1bc6fbbc, 0xf953c50b, 0x0255e84d, 0xc525b3f4, 0xd53e9508, 0xaeff60a7, 0xd0991507, 0xa92d2047,
+    0xd847af18, 0xc6f5266e, 0x28b12e6b, 0x168c0c9d, 0xc34cb59a, 0x6b13c5ce, 0x75d972a9, 0x6cd8b285,
+    0x6906875f, 0x81cd123f, 0x28db61dc, 0x82046d17, 0x414b91c0, 0x26e99f22, 0x015b88e5, 0xb6f31e15,
+    0x6cc58a8c, 0xb8481790, 0xd6da44b1, 0x0847671c, 0x5d12dd67, 0x1a353003, 0xaabe3628, 0x7bc8c7ae,
+    0x336b9ea0, 0xb94e51a4, 0x699acd2e, 0xa9da8410, 0xe9a12e24, 0xab2e5db7, 0xe0278c6a, 0x94ee3c76,
+    0x41150761, 0x302fced1, 0x566858f7, 0x8cd0a142, 0xdc4bc7ba, 0x93fed450, 0x8ba7ed48, 0x9d438cf6,
+    0x620b6017, 0x46eb583a, 0x72ff9ab7, 0xf9813902, 0xe0c2046f, 0xb55a34a7, 0xc1d8bfef, 0x956b103f,
+    0x32f47598, 0x767700f1, 0xf891d67a, 0x7e6e233e, 0xce66e7d0, 0x3455a33e, 0x3e4646f7, 0x82995932,
+    0x7aa47985, 0x1a8e2ce1, 0x961ffcb5, 0x08d25eea, 0x3b2fca0b, 0xaf62f8f7, 0x4d5be3c9, 0xd98ebed6,
+    0x456d52aa, 0x97054355, 0x0b980be5, 0x16d517f7, 0x2cc021d6, 0x7b8d4c73, 0x1fa6aef8, 0x6e4152b0,
+    0x8b954910, 0x13437ce3, 0xb8262e08, 0x045e306c, 0x7becc6a9, 0xfd5e35d5, 0x6fdb8206, 0x2b0bd808,
+    0x19f4af8e, 0x8151a479, 0xabf73da9, 0xc187bf74, 0xc46619c0, 0x74e808af, 0x3c3e006b, 0x80068d09,
+    0x3a26215a, 0xa2b5a0b0, 0x66b44675, 0xeba5c291, 0xff280a1a, 0xad20cdd3, 0x56a52d68, 0x4c6adb83,
+    0x20e7d8c1, 0x1ad38d4a, 0x5937bd26, 0xa722022d, 0x091e498c, 0x8678481a, 0x33134090, 0x95bd8911,
+    0x8413aefc, 0x29c3658d, 0x956adf8d, 0x2c3959a9, 0x6fb46eb4, 0x21205d02, 0x196f4c0b, 0x40bd8dea,
+    0x92e8f647, 0x0a756461, 0x743e804d, 0xa2413ec9, 0x8116c552, 0x126150a7, 0x63dd6290, 0xba439097,
+    0x088f9f4b, 0xcb64d5bb, 0x0d43e0ed, 0x25301331, 0xfe8be128, 0xc626876c, 0x8432969b, 0x1559d6f9,
+    0xaf7d3ca3, 0xbd29228d, 0xecdba791, 0x8584278e, 0xcc3e77ff, 0x32d29164, 0x5e3e9c3d, 0xa4541976,
+    0x02a2926c, 0xa838a834, 0xdb2ceeac, 0xec60d7d2, 0xfccde3a7, 0xa3a42f77, 0x2a744f47, 0x6e9c5512,
+    0x178ee023, 0x587c03ac, 0xa129c0ca, 0x30dea0af, 0x89f364d0, 0xe952bc98, 0xf9d2ec1b, 0xb9fa34ae,
+    0x00b63466, 0xe148a10f, 0xb753f23a, 0x6f6f3e67, 0x65e2fac5, 0xbf548e3a, 0xa56075b6, 0x7d5151fb,
+    0x4407d751, 0xd156d468, 0x10873e44, 0x8b5462f7, 0x2b19dd7f, 0xf0678b71, 0x4bfb1f7d, 0x2e91cab7,
+    0x51c974f3, 0xa898ead1, 0x6705ce91, 0x54c295e4, 0x28a882ac, 0x19e62d04, 0x15d3658a, 0xb0680313,
+    0x3385c427, 0xd41ab892, 0x73b094bc, 0x3aecfe37, 0x0d32d4dc, 0x29b5dccf, 0xc4c967e9, 0xbb0ec4af,
+    0x8b0e6205, 0x746c9a76, 0x3e48ad53, 0x3e88650c, 0x9e59ef87, 0xb4562da4, 0x8916e87a, 0xbf1a63aa,
+    0xae8653ad, 0x0896733a, 0xdcf4be05, 0xf23a0daf, 0x86bb49f1, 0x533ec5ab, 0x7959843d, 0xa4c53268,
+    0x1754de7a, 0x75bf785b, 0x4ad57f08, 0x42dfb3be, 0x445b7286, 0x52a018e5, 0xa3824439, 0x6327ff3f,
+    0x23a63ceb, 0x587a64a7, 0xaa6aac56, 0xb3d44832, 0x66144bc4, 0x3f9a952b, 0xe0624a6a, 0x61b0e6e1,
+    0x73c67d9e, 0x915c0da3, 0xdfb2cc47, 0x5a124581, 0x71f3be24, 0x2910f9af, 0xd78bc7e1, 0x947c3019,
+    0x1a8bd0b1, 0x014ce426, 0x597eb552, 0x2e75242a, 0x06dc124b, 0x2da139d8, 0xc310df91, 0xe68c9f82,
+    0xb2307147, 0x73926265, 0xad031942, 0xb73d09ba, 0xc2e2d955, 0x3513e997, 0x3ef59001, 0x6269739b,
+    0x6934f160, 0xdbb506ea, 0x85c8b192, 0x41ab0bbd, 0x1f0a7fe9, 0x0bcdeae0, 0x48d15d64, 0xabc0a840,
+    0x722d06b3, 0x7334f77f, 0x47c57b91, 0x9d0956f7, 0x913a63f8, 0x7dedea30, 0x0ffba9b4, 0x6c87b73a,
+    0x33a08cb0, 0x57435546, 0xb55c67fa, 0x0cc988de, 0x6f1759bb, 0x55e02dd0, 0x195634fc, 0x4ad01571,
+    0x5565f92b, 0x7c03d914, 0x8322fc48, 0x8f16d161, 0x8f514287, 0xe47e4410, 0x89780623, 0x23bbe29d,
+    0x96713050, 0xb2185846, 0x2d6adb39, 0xa252e9fe, 0xe3dbcc2f, 0x3e3d90c9, 0xaa3569cb, 0x2d0b1377,
+    0xfac83ca6, 0xabb4ca3a, 0x992bf362, 0xb7cd7b09, 0x12a27201, 0xfdf4e916, 0x32c8b1b0, 0x0db7140b,
+    0xcc8caf7f, 0xddef7fd8, 0x146501f9, 0x459a1b70, 0xe47176eb, 0x66a67987, 0xb205ba28, 0x5abbdafc,
+    0x6187ef2e, 0x5fb717ed, 0xd9870231, 0xbf94f9e7, 0x98e1a610, 0x5bce5ca0, 0xa24a8a8e, 0x1475b4d9,
+    0x3d2d73fd, 0x17c832d1, 0x7b7857fb, 0xea9180ca, 0xa2b442a5, 0xfa035abd, 0xb8d7be02, 0x2cc8c229,
+    0xb78f0aac, 0x14f9c04f, 0x5d25a8a8, 0x7ec81a5d, 0x612bd583, 0xd41b3951, 0xa5db822c, 0x73525f0f,
+    0x901a779c, 0x80d1cc8a, 0x7f0cf740, 0xeee6149f, 0x2b692c86, 0x9c8ab929, 0xe692dca2, 0xd5936e4e,
+    0x155de4b1, 0x5f7609a1, 0x5c40cbaf, 0x532aa061, 0x6a489589, 0x7fab733f, 0x6aa2e165, 0x00074ac4,
+    0x75e815bc, 0x642b65fc, 0xc24aa000, 0x45cd4893, 0x27f52988, 0x5d1a1f28, 0xe3795fd1, 0x26714176,
+    0xb3602035, 0x668e4922, 0xcc14f8a6, 0x535620c5, 0x6f08cb05, 0x31289b0f, 0xb11afba4, 0x2dfe75bf,
+    0x16a7a212, 0xffd1c66f, 0xe211b559, 0xfb0c5201, 0x6211dede, 0x5b4f02de, 0x46864edd, 0x8459ddf4,
+    0xd6c197cc, 0x57613393, 0x6342d928, 0x65a64741, 0x37e0aec8, 0x509b4e10, 0xe5ac127d, 0xfae85fae,
+    0x8a240c09, 0x46644008, 0xd5ec91b1, 0xeda3b719, 0xff1ef70e, 0x7df0293a, 0x20cced9c, 0x2d33ff14,
+    0xc45f1ee0, 0x44d364e5, 0x8f6151bd, 0xb7737ea8, 0xd465d4f1, 0xb0423e14, 0x24e129b9, 0xdc7be7f8,
+    0x10c56bbe, 0x2446a024, 0xf8186edd, 0xd391bbe9, 0x59d2c918, 0xdac7dbaa, 0x7046dbbb, 0xf37eb68f,
+    0xfd269eb0, 0x777aadc6, 0x5a1d1acf, 0xb130b120, 0xa9d65d93, 0x983eaf45, 0x4043c022, 0x4de58625,
+    0x2c994845, 0x40d6f510, 0x6e9f9304, 0x1de445f0, 0xfc62adc0, 0x92d2e7ed, 0x3e2f7dc9, 0xbda60487,
+    0x094af166, 0x6ce82e6f, 0x0b42ead0, 0xaf90bf29, 0xa961a0fc, 0x067c7820, 0x6d4975a9, 0x6a11286a,
+    0x0a54e6cc, 0x26ecc2a4, 0x79cb0b69, 0xf5138e4e, 0xb13ab96c, 0x2c62721d, 0xd868c72e, 0xd9ea0975,
+    0xb3035bfd, 0x7b8dbd7b, 0x8728914c, 0x8d63ba75, 0xc8fd8bf9, 0x66a6e855, 0xf6d454eb, 0x7d9e7c77,
+    0xe77dd849, 0xf5b9a2e2, 0x0ec95800, 0x6795478b, 0xa2016bc9, 0x85e68623, 0x93ce006b, 0x70f4f114,
+    0xdbb735b7, 0xc1306c58, 0x5f42b9d0, 0xbca4be67, 0xcb93cbe9, 0xd98f64a6, 0xf9fa28cb, 0x394449ec,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000383123885216472214589586756787577295904684780545900544 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349d, 0x500e4261,
+    0x00000000,
+    0xbfe4a244, 0x4ac9ecac, 0x4c08bbfd, 0x265d5900, 0x68ebbaf6, 0xbfec3e10, 0x9cdeaa37, 0xbc585e8d,
+    0xadf5fe01, 0xcd4ba5b3, 0x4a1f0790, 0x699bb4bd, 0x67326f2f, 0xba07c378, 0xd857f532, 0xe0f6cce0,
+    0xa6b88e81, 0x57e229b2, 0x4007e1cb, 0x11219ac8, 0xa772b21b, 0x5b891e77, 0xaed36576, 0x620b15f0,
+    0x269b3d93, 0x4551044d, 0x6c44dfb3, 0xe19b5fea, 0x96a60dbb, 0x30bf9a02, 0xb50577c1, 0x9a2c82c3,
+    0xcf99f774, 0x2828b7df, 0x57152f4f, 0x994f31a8, 0x9ab96188, 0xe9b37d4d, 0x1849f9f3, 0x8759a4a4,
+    0xbed0bfc0, 0xcbcfafb8, 0xfa809114, 0xfaa196c4, 0xa6c868b4, 0x601e34f8, 0xc81eaa7b, 0x4811c17f,
+    0x640e1a9f, 0x39021619, 0xf0531272, 0xca46ffef, 0x8e5776b4, 0xb975af76, 0x2077ea15, 0xfd73ec1e,
+    0xaea818ca, 0xa46af0de, 0xa77ce8c5, 0xcfd1cba6, 0xe0ae89e9, 0x7199a2a1, 0xab69ff5c, 0x46c60e04,
+    0x8614191a, 0xc9ffcb6f, 0x7f7cc87e, 0x231a1384, 0xab1e6faa, 0x4d537036, 0x831d361c, 0xe1f0526c,
+    0x54c9a56f, 0x76e5fc2e, 0xe6317d8b, 0x748b7947, 0x12cc2390, 0x255578c1, 0x34ad0274, 0xa2a425a5,
+    0xa04ecf6c, 0x1e6d60af, 0x0768fead, 0x8f6ec47f, 0x9377674b, 0xdcef9e90, 0x4b6818bf, 0x6b4f0d2f,
+    0xa7e8e2f4, 0x14832c6f, 0x0a02af1a, 0x03d6e07f, 0x5efea89f, 0xad453ee3, 0x5a73779b, 0xe7853af2,
+    0x72aba002, 0xf7d68f50, 0x75d50eee, 0xc45f3a2b, 0x9d4d1de5, 0xe6d40ee2, 0x2a4106e2, 0xdda411c4,
+    0xf876e72f, 0x617fb14d, 0x22ab6636, 0xe002dc25, 0xd5b72386, 0xfe6a49be, 0xec1c6dfd, 0xd09ba51f,
+    0xd15c2a07, 0xa1c82182, 0x589860fe, 0x8f5d982f, 0xd615a3f3, 0x24bcc4df, 0x0054effe, 0x1bf40378,
+    0xe1ea7688, 0x871c34ee, 0xd5b10675, 0x6dd3c1db, 0x028209d1, 0x41d1e07f, 0x191f9271, 0xdd3c6c53,
+    0xe328b2fd, 0xef9b43c1, 0xdbde5a50, 0xe8168489, 0x004740fa, 0xb4dbc6b4, 0x9d568e0d, 0x7c02e5d4,
+    0xfb3bdcc8, 0xcec3fcc3, 0x4c5fbfeb, 0x582b6f27, 0xcced4d86, 0xeafc944f, 0xd09c44d8, 0xe0dd2724,
+    0x3d9c335d, 0x4fd7714e, 0xf2afaee9, 0x394ddb2f, 0x63d7f9f7, 0x8e833f5e, 0xa40c7d6a, 0x65729ce9,
+    0x44017f2f, 0x426961aa, 0x5c12e97c, 0x23538bf8, 0x0775dfa4, 0xe39ce2dc, 0x00f35824, 0x3557a366,
+    0xd045167b, 0xa8da5ff2, 0x4a2b4407, 0xaa5748e0, 0xd4e47ad5, 0x51b0122c, 0xe9af815c, 0x87271b36,
+    0x64053141, 0x3e90cc49, 0x995e7051, 0x89f3068f, 0x6ebab6ce, 0xe1d00805, 0x5b2da941, 0xb9aba2f9,
+    0x28a364d1, 0xe5ff57b7, 0x8e8397e6, 0x9fdbbcd4, 0x9ef452bb, 0x2818a8ab, 0x8db8435e, 0x262dc7c3,
+    0x19e9494c, 0x021a3df7, 0x32c7d6b9, 0x29ddfcc2, 0x23042a22, 0x18cae96c, 0x58cb8074, 0xf688a737,
+    0x63cf049e, 0xfff633cb, 0x26c3dbd6, 0xb0372901, 0x36085410, 0x0756c23a, 0x72464f68, 0x0ef226f1,
+    0x0548fe3b, 0xd783925d, 0x83485e9f, 0x4a59a45a, 0xb796fdea, 0x9c7b702e, 0x041d8e02, 0x7dab388b,
+    0x26f4ba9c, 0xa047d91d, 0xd6d2dbe6, 0x7c296b9b, 0xcb705074, 0x90211abe, 0xf7faac6a, 0x74ffbe9e,
+    0x11e2b76f, 0xed9a2cb1, 0xaff9ce52, 0x34aeb778, 0x4c73852f, 0xc267cfae, 0x50561ba6, 0x01f5b122,
+    0xc6233250, 0xe406373b, 0x488b5d8a, 0xc37153f1, 0xf5697348, 0x966822cb, 0x6b907e37, 0xd11b6f80,
+    0xf2dabaa2, 0x49569a42, 0x35960f11, 0x1d14f23e, 0x638cfa04, 0xb96cc3f9, 0x86a02db4, 0xc93851de,
+    0x20de750d, 0xc8ab8f7c, 0x23c7a552, 0x2d3b8f11, 0x6b85535c, 0x76bc99cf, 0x737030fe, 0x7540b18d,
+    0xceed0082, 0xee55bd78, 0x82b64759, 0xefd730c4, 0x9da16e0d, 0xfd329cb5, 0x4adfd15a, 0xd7d609b3,
+    0xe2b742cf, 0x232d90f8, 0x88777bf7, 0x2873d0de, 0x03dd6eb3, 0xf34a71bf, 0x68465b9c, 0xd396b370,
+    0x308b7641, 0xf641ebcd, 0x13f84293, 0xc51f641a, 0xb8024eb9, 0x98bb0cda, 0x7626e342, 0x54ebe26a,
+    0x1e522db3, 0x2147107f, 0xe168da95, 0x176fb948, 0x635e5eb3, 0x3aaf03dc, 0x9091fac9, 0x5e333223,
+    0x37104da7, 0xaa0c0e1c, 0x0249d785, 0x390c9d37, 0x1bcd2dad, 0xf3ef4140, 0xfc9ae4f6, 0xa69b2541,
+    0x61c0b39c, 0xac20e4c5, 0x0303dbf3, 0x984fcf6c, 0x944df051, 0xfef60829, 0xee647f47, 0x68a36b29,
+    0x08a419fc, 0x486c273d, 0xd0c3d6f3, 0x3f7bd3cc, 0x52ce5b2e, 0x222b47af, 0x39efcd9f, 0x104f0337,
+    0xea781000, 0xb7b0e44e, 0x765a4e60, 0x41721ee6, 0xf9e0b237, 0x658f8994, 0xbb21ceda, 0x30b35dd8,
+    0x1524c379, 0x2790e0ef, 0x300668b5, 0xe613709e, 0x7d97bd84, 0x74356953, 0x5c03e2ef, 0x02fe8a5c,
+    0x0ff5bb0b, 0x1087a405, 0x1c1081cc, 0xcac0e257, 0x88633684, 0xdd3fd141, 0x16c18d95, 0x75b9628d,
+    0xa62da60d, 0xa9888353, 0x44d1f10d, 0xa7b571eb, 0x72bd96d5, 0x1115824d, 0x899b16a5, 0x227f303a,
+    0x0c499b59, 0xd3087b6a, 0xa63c898f, 0xc0a4bc47, 0x321a2d62, 0x4420292f, 0x36772aa4, 0x796e4e29,
+    0x8062299b, 0xc674af43, 0xc278b7bd, 0x6687c3a6, 0x7dd19385, 0x0faaea30, 0xe8d506dd, 0x17eac631,
+    0xa5118f1c, 0xa624e486, 0xe12ad28d, 0x4bafa503, 0x76cadad3, 0xa22a5976, 0x0a56733e, 0xb702d74e,
+    0xabdaaabb, 0xfc185ae0, 0x4ad81723, 0x727fee24, 0x2ef6803d, 0xb01d8b52, 0x15654e18, 0x99c7f7f5,
+    0x8ae74913, 0x5239288d, 0x390f3125, 0x2ab40de1, 0x1cb8213a, 0x624aed1c, 0xafe4df99, 0x2365d58e,
+    0x87b3a45c, 0xdf069310, 0x1d9f3d77, 0x3b7a7a3d, 0xdd1aa454, 0x831e16fa, 0xd40bbfe4, 0x9058946a,
+    0x92d9dfdf, 0x27046531, 0x7fa01b72, 0xfd02c605, 0xe099b10a, 0x13521da9, 0x522ef20f, 0xa6c2a68f,
+    0xb7810f3e, 0x1af8034e, 0x4c617f2d, 0x10c74b68, 0x165d364a, 0x6add8051, 0x960ad907, 0x8056da0d,
+    0xc9b37e90, 0x8f969db9, 0xb07014ed, 0x3b28cbe2, 0x64b56eee, 0xe18485fc, 0x58a172b4, 0x67cdaf84,
+    0xaeddc0c7, 0x8dfc88ef, 0xa646edf1, 0x1619292a, 0xa5025db9, 0xc19ffcb8, 0x00ad971e, 0x766002d3,
+    0x9c893d15, 0x9a381af1, 0xf38f865a, 0xbedc11a1, 0x45104e9a, 0x7200134d, 0x672ea1ec, 0x15b52359,
+    0x86e2285b, 0x2a830e42, 0x755b5e76, 0xfc412a89, 0xd085b6ff, 0x024dc8db, 0xd0ff4251, 0xb225b5e8,
+    0xd8ab5e95, 0xd13027e3, 0x2885d0bf, 0xc7a04db1, 0xfa2b5107, 0x3ba7ae03, 0xed27ea33, 0x5bcc1b26,
+    0x52a02000, 0x5a99e12d, 0xb87a2939, 0x0069c898, 0x25b6d36c, 0x5df55bb9, 0x7cbeed4a, 0xc8c0e0bc,
+    0xdd82e27c, 0x917d4e36, 0x16edab2a, 0x8adc575c, 0x86f9bc1e, 0x342faf59, 0xb8fc3f19, 0x86a95876,
+    0x3f8086da, 0xb59c87fc, 0xfdf87eab, 0x1967d2bf, 0x11649360, 0x1a8676f9, 0x509e4dcc, 0x0e9f6029,
+    0x80c742b0, 0x30485774, 0xbb960aae, 0x2285ff4c, 0xca2000fe, 0xd599540b, 0xe9e65dc1, 0xb5000429,
+    0x273cfe06, 0xd632de90, 0xe9d2b1fe, 0x89eea731, 0x5803ca61, 0x56b002d3, 0xf8b2b2b5, 0x1a29f55a,
+    0xaa5c29a2, 0x4a431923, 0xfe935c03, 0x325ee73d, 0xf5b0bf6a, 0x9593d094, 0x5af5a3b0, 0xbec9e412,
+    0x4a0f01ea, 0x354ab170, 0x140b58dd, 0xaf2d7d90, 0x4e11926d, 0xf980a81c, 0x46f6cb89, 0xb27b83c3,
+    0xf7d9d423, 0x2592c99b, 0xe3f9fb4e, 0x382e3bce, 0x97f0d457, 0x688acfc4, 0x209be26e, 0xbd985351,
+    0x1429807b, 0x7331e3a5, 0xc3c3a1bc, 0x6485d5ec, 0xd76fe50f, 0x9dcedee6, 0x9995f675, 0xc3e4d8c9,
+    0x8189edb2, 0x8a58de7e, 0x8fa25460, 0x042e1aa9, 0xb9f46960, 0x268b47f4, 0x396b65a6, 0x8310e664,
+    0xafb00560, 0x9554c0c0, 0x8a490944, 0x8ba7dd94, 0x9c550a5e, 0x87ecd5f5, 0x7f1f297e, 0xecee1ed2,
+    0xad51bec7, 0x0174b3c7, 0x406af36a, 0x5b32a7fb, 0x27b0879b, 0x02e4e85d, 0x5379d03f, 0xd2a16f05,
+    0x6b066795, 0x7a79b5fd, 0xf9404a49, 0xad74a675, 0xcbe643a4, 0x624b512f, 0x0dcbcfb8, 0x2139f3cf,
+    0xbcf5f539, 0xb14a4316, 0xda3750f6, 0xb522f82c, 0xa4e0466a, 0x0207974f, 0x79466170, 0xe9613a7c,
+    0x11b197f6, 0x2f511278, 0x9bd5eb99, 0x42f79df9, 0x01c25439, 0x8389156f, 0xce201fc5, 0xab9381ac,
+    0x26551631, 0xa032bef0, 0x28bbae28, 0xcb5db170, 0x300a369c, 0x5ed14dbd, 0x4d149fee, 0x6eaf8b3d,
+    0x1811ea8b, 0x7c88a9e1, 0x8d13c3ce, 0xfc4746d9, 0x00bd327d, 0x81612ffd, 0x557d67e7, 0x6797f52a,
+    0x17ad063c, 0x9598f9b9, 0xe6a8c4cb, 0x26c6a321, 0x4f983b62, 0x465fc42e, 0x71a32e8b, 0xb85d9eab,
+    0x4165e841, 0xbd116cad, 0xa48debff, 0xc8f7dc26, 0x629d9541, 0x9bf537b8, 0x7afb3fd4, 0x50ebc080,
+    0x62cbeb38, 0x4662f68e, 0xe2f0ae81, 0x0dd07703, 0xb90650bc, 0x3a237c48, 0x726e0a26, 0x9781938f,
+    0x98ac45b8, 0x8f18c403, 0xd5e196be, 0x9a0f3c46, 0xdd9938e1, 0xd72668f0, 0x55205175, 0xb84e5d63,
+    0x1c95c08c, 0x50754bf6, 0x4214d228, 0xd25843f4, 0x94fcba4c, 0xf3b16f56, 0x8face34c, 0x0df420b4,
+    0x7a50fbf9, 0x02dff8e2, 0x780b1b20, 0xb5e11d2d, 0xd364881c, 0xd7fb2beb, 0x714d01ba, 0xc27e984f,
+    0x3f6f6045, 0xe0770bd4, 0x83eb48be, 0x77913626, 0xe4ff337c, 0x38b63d62, 0xe9fb6325, 0x5b16d08c,
+    0xdb567187, 0x598c81b3, 0xda3229b4, 0xa7d17976, 0x45c0730e, 0x7732800d, 0x70354d05, 0x0de8db2d,
+    0xef4a3379, 0xdd8e981f, 0x3fe32769, 0x4c5f5bd5, 0x292dc6c2, 0xab019b62, 0x1240bd86, 0x04e54c40,
+    0x0b7d446f, 0x870b06c4, 0x16b3c9f3, 0x6f85f8e2, 0x27f06718, 0xf3eb6889, 0xeffd3981, 0x266ec9b5,
+    0x47bffe9e, 0xadc44f0d, 0xd644d98b, 0x06c5f2ba, 0x655ab292, 0x0ff019a4, 0x6e938cc8, 0x4a536543,
+    0x34d78c25, 0xf344f5b1, 0xd401c310, 0x80ba61a1, 0xf2e378e1, 0xdee076f7, 0x3851af81, 0x01a0b2c3,
+    0xa33f1716, 0x96e2c176, 0x0c208adc, 0xea078cc7, 0xba3fec22, 0x5e746abe, 0x00363e1e, 0x1eea9836,
+    0xd3393904, 0x961e20a8, 0x12bde6af, 0x5ed64670, 0x4153bc0e, 0x6adacd5e, 0x4a417845, 0x5639a19e,
+    0x9f1b7375, 0xe7da191f, 0x5d8b10b3, 0xd0e16c8e, 0x0de4b78d, 0x777eb87e, 0xde047d53, 0xedf7ea43,
+    0x7c1e883a, 0xeab78c3c, 0xbb39ca02, 0x6da4baad, 0x46cac038, 0x3342281d, 0xdb627356, 0x3342b43b,
+    0xf78202eb, 0x16fd04c3, 0x8fc56b65, 0x2de5774e, 0x9ac0b71b, 0x2f1d411c, 0x28eccab4, 0x305cc084,
+    0xfb65e68e, 0x0d67f79c, 0x41a59bfd, 0x1d703974, 0xec6a3697, 0x3c83e01a, 0x896eddc2, 0x5a6ff71c,
+    0x82c0e688, 0xee09e2f2, 0xdc900a47, 0x505b73e9, 0x84612870, 0xd09bacdd, 0x0a777aac, 0x3406fb55,
+    0x0bcbe5e2, 0x02c518a8, 0xc2dbfd64, 0x682664ca, 0x5ebc4c2a, 0x160ce668, 0x6ac991e9, 0xafaf0a42,
+    0x96d918c6, 0x39baa4cb, 0xea6395bd, 0xbeb1f918, 0xcaff20a8, 0x97180fc0, 0x73b75dc0, 0xb44909a9,
+    0x69828089, 0xabecae32, 0xe5d5d342, 0xd0a4d461, 0x6360fc33, 0x66efa2d6, 0x49b3a18f, 0x2e78679b,
+    0x4c611788, 0x25d84aca, 0x84e7d36d, 0x83e357bd, 0x1cef4e1b, 0x3701fd35, 0xa608b887, 0xc2de76e5,
+    0x857c19d4, 0x41f1df8c, 0xc49320f0, 0x58c6eb4a, 0x4a982cbb, 0x3feb3e5a, 0x3234c0f7, 0x7fecd79f,
+    0x75cf64ab, 0x6533c6e8, 0xb0790758, 0xbebff385, 0x73335ddb, 0x818c01d5, 0x9e77bbd1, 0xe12f32a9,
+    0x65fe3984, 0x5ba7236a, 0x9a7bb40a, 0x55f45858, 0x66ba3241, 0x43e362d9, 0xe91dc6f0, 0x0a6b0f34,
+    0xaeefcef6, 0xd331d588, 0xba83d0fd, 0xc6e1a2f9, 0xd26fa051, 0x081d5c2e, 0x6ced98a8, 0xa201c433,
+    0xdee379c9, 0x39b72de2, 0xb3afb67f, 0x4171cd71, 0x98b8eda4, 0x47b43b03, 0x6b2517a0, 0x265aed31,
+    0xd9571e31, 0x6a892c39, 0x55a3c487, 0x28fe3679, 0x946d72d5, 0x9f8c8e91, 0x1d27f10a, 0xba449e0a,
+    0x04c0bfa0, 0xc832efd7, 0x96245dbf, 0x92e1aaf9, 0x6cc0998f, 0x29e651c1, 0xf161aff0, 0xdbf0589f,
+    0x9b7cfbb2, 0xa0ff1124, 0x84340606, 0x88002425, 0xda81012d, 0x50cb3ee4, 0x1e221e7d, 0x8c76b443,
+    0xc9ea1ea1, 0xb809905f, 0xd5531486, 0x5786e656, 0xf7dfdd59, 0xd2d1d30f, 0x78ea5287, 0x8994b63e,
+    0xc134aa66, 0x42d4b8e5, 0x7126599d, 0xb249a7f5, 0x43092b78, 0x69c8ffb4, 0xe9c90abf, 0xb5658b60,
+    0xae6fbea9, 0xc0cf5b20, 0xd8ba2926, 0xf8c0b82f, 0x987a279a, 0x7855e8a8, 0x4b92d47c, 0x5e4556bc,
+    0xb7d562b0, 0x0738c45e, 0xfc7d1cc1, 0xef17cd40, 0x63108e6a, 0xca5810df, 0x22c006c1, 0x283e9799,
+    0xc1430f4d, 0x6337882d, 0x291df105, 0xcf486a18, 0xf7f84da0, 0x496eccef, 0xf38bbbf5, 0x0973d87e,
+    0xdf2a9b45, 0x41db19d4, 0x196b4165, 0x90458485, 0x41bc0556, 0x794e4fa9, 0x19e6eb73, 0xc5c003d3,
+    0xed888210, 0x4c4bcc81, 0xe3f3507c, 0xa9e4537f, 0x49603fb6, 0x67dcb1c6, 0xe07d5000, 0xf9e6aff2,
+    0x2f965131, 0x3d2be549, 0x141c3d7a, 0x6f31b9e6, 0x1890a555, 0x64cee42f, 0x5048822f, 0xa0e36017,
+    0xd67401e5, 0xa5c8e2b0, 0xbe536fed, 0x9f63d879, 0x767c05e6, 0xdbd23ffa, 0x3becc829, 0x9ebbddbf,
+    0x0317b2d7, 0x2ded3097, 0xd5ed34dd, 0xb45009f6, 0x3ec9c934, 0xe8a75cb6, 0x92b17bf9, 0x319b6160,
+    0xa07c48f8, 0xd4988e8e, 0x3d1ab492, 0xee45fdda, 0xc02ab10d, 0x869e19d3, 0x4eb1f355, 0x3cb45fa9,
+    0x41096f11, 0xb7dd393d, 0xd960bbcb, 0x19472903, 0xaf47affc, 0x86acf121, 0x894a0d45, 0x2100b384,
+    0x95db84f2, 0x7d84a10a, 0x6d182553, 0xa6380009, 0xec09f2b1, 0x4d4dc61e, 0x2a89066d, 0x5f34d3c6,
+    0x2d8e5dc7, 0xc4a1be84, 0x700e4bc5, 0xd7c1c410, 0x83b4c7a4, 0xac17c4af, 0x2fa1bbdd, 0xd9fdf748,
+    0x5fcf78c1, 0xd675c95e, 0xd1cdf97d, 0xfcbd9787, 0xb7b38c99, 0xe8648bd7, 0x59de6f3a, 0x6ca507e2,
+    0x1a67695e, 0x8af4411a, 0x5cbe3230, 0x3f1136de, 0xd11e4b5a, 0xb656ccee, 0xf1360ef6, 0xc9d278d2,
+    0x0b4c0add, 0xfcaaf1f3, 0xe2080e06, 0x80a57ff9, 0xe92d93dd, 0xe2229d05, 0xcdbfa792, 0x3461ef8b,
+    0x93a94437, 0x56c3b493, 0x19a7eb0a, 0xe6bff231, 0x50c59283, 0xe04c5d9b, 0x9c6c6c8b, 0xc7314a0f,
+    0xbc33b23a, 0x8322413d, 0x364ccf38, 0x4a8ea152, 0x1cbcd836, 0xa82a8dcd, 0xeddf1e79, 0x49ca6e82,
+    0x57df97bb, 0xd8a6244e, 0x54e10bf6, 0x5b56ab76, 0xc9dd389d, 0x9c02ba48, 0x6302d5ac, 0xe665596f,
+    0x8f1cd09a, 0x81cfed37, 0xe1aa5d98, 0xab58673a, 0xafbda3fa, 0x01fa2a34, 0x66689052, 0x729645de,
+    0xa3663229, 0xd8672f14, 0x7718f6e1, 0xdfa04f7a, 0x776b8dd7, 0x3a6406f8, 0x452be18e, 0x0ae8fc2b,
+    0x2e9887d4, 0x3b2e037b, 0x0c9cc8a9, 0x5ed35930, 0x0f6406eb, 0xa555950a, 0x628d65f3, 0x8893d4e8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000191561942608236107294793378393788647952342390272950272 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4e, 0xa8072130,
+    0x00000000,
+    0x9cb94426, 0x37cec022, 0x76a354a0, 0x8f9d6ba6, 0x1b1d0d07, 0x9a85f0a8, 0x45ead73d, 0x01d2057b,
+    0xb72658e3, 0x7bd26590, 0x1bb429d2, 0x5ebe24f0, 0x7f03a989, 0xeb1c04ea, 0x0b8f45d6, 0xa89913b3,
+    0xbe61aea2, 0x2159bd8d, 0x790a9eda, 0x52a6a832, 0x3d432841, 0xeecb287b, 0x24a90d19, 0x5296779a,
+    0x4851bf3c, 0x2f911289, 0xd6dba13c, 0x3c46844d, 0xac25996e, 0x19423bab, 0x49a0e26e, 0xc07a8e1c,
+    0xb86acacb, 0x8f8e1d53, 0xc01f779c, 0x34a68087, 0xc457c7e6, 0x77ba1d32, 0x5319ae04, 0xcf8dd008,
+    0x1c82c67f, 0xc43ad777, 0xb8f89c2c, 0x40e15250, 0xfe636d3c, 0xacb59bb2, 0xb82e9829, 0x06557ac0,
+    0x6f2d4392, 0x6223beb9, 0x8bca440f, 0xce73a5a3, 0x1080825a, 0xc752244c, 0x37f1f291, 0x5f356544,
+    0x667d5164, 0xb154199f, 0xa14004c3, 0xad7726b9, 0xd9837936, 0xe6fcd3c0, 0x0efc90a7, 0xb9759e80,
+    0x85b20ac9, 0x66e888f8, 0x6eafc1d5, 0xbde9a663, 0xcbbd4ab9, 0xfe235281, 0xd7128256, 0x252a6159,
+    0xd771e8cb, 0x39241df5, 0xc97da7bd, 0x24b37c4b, 0x48b0d42b, 0xbc3b9634, 0x506c8eca, 0xd39b3544,
+    0x71d5f4e9, 0x9557d995, 0x58491750, 0x17b4459a, 0xa530213c, 0xeed1624b, 0x6f4a173b, 0xbda61a0f,
+    0xdff63475, 0xd6313f58, 0xd027052c, 0xd5850048, 0xdec9c34c, 0x525620c8, 0x281dc2c9, 0x90c13bb7,
+    0xda77e3ae, 0xeecec7dc, 0xac3226bd, 0x598d9286, 0xfa835147, 0x5019d0b8, 0xd5f9a6f9, 0xd4beff80,
+    0xcd59e016, 0x0f000ecd, 0x42aa9fb2, 0xfcf93fac, 0x6d37a03f, 0x771ae411, 0xe7e010b2, 0x96175b56,
+    0xd1590a8c, 0x894cc30d, 0x5db9de62, 0x2a51030b, 0xb85cef41, 0x1254a1b0, 0x3705b776, 0x6341ac7d,
+    0x75777af6, 0xefc774eb, 0x88a641a1, 0xe0196d8c, 0x31660a67, 0x4fb03c94, 0x5a00d736, 0x569377b4,
+    0xf52cb5ff, 0x7cb10f6c, 0x5daa159d, 0xe0eb1e4a, 0xc9894c12, 0xdae5952a, 0x862de469, 0x0530043b,
+    0x3e1b66cc, 0xe9b6165e, 0x980c1275, 0xae8ffe2b, 0xbb0805fa, 0x5a4fdd9a, 0x78cd1380, 0x2ffaca5e,
+    0xfc7adaff, 0x4bc03cf4, 0x48946fcd, 0xe8ec9700, 0xb9de257b, 0xd1ec8ebf, 0x7de63ccc, 0xd18881fe,
+    0xc3e3398f, 0xae2e8e05, 0xb75dbf1b, 0x547c087e, 0xd5764876, 0xbbd34a60, 0x6b26d30d, 0xcd56555c,
+    0x0acda0a4, 0xcde6a6d9, 0x86044169, 0x7bc2ca6e, 0xd0914471, 0xa6fbef14, 0x70549fc1, 0x8f2b4924,
+    0xe7335e5e, 0xad1e5972, 0xb2433133, 0x00b4df79, 0xef6d99a8, 0xe75458ac, 0x24b950c3, 0xaf083f10,
+    0x4471bc5b, 0x3fe70dd6, 0x5fefb887, 0xd632fef1, 0xc24824aa, 0x4b3f5683, 0xeafdadea, 0xb0713154,
+    0x74c80220, 0x8c963f93, 0x285bafcc, 0x5fc17fe1, 0xb6a850e4, 0xda9740e9, 0x32227791, 0xa4ff1271,
+    0xdf37b749, 0x7cdb396b, 0x884d0ccc, 0xfab872a1, 0x662879bd, 0x72641832, 0xd0452592, 0xa3f1f91e,
+    0x49b2ad05, 0x7c801fe0, 0xd8486d8a, 0xdb1e5ccc, 0x61b85f4a, 0x72137d49, 0x7b9f0124, 0x022cd84a,
+    0x9b8cf27b, 0x13f2456d, 0xa1a46b2f, 0x1ca72d29, 0x293de644, 0x87d58f9a, 0x16246a61, 0xbb8014ae,
+    0x68aaf61f, 0xfb265624, 0xbf9f031e, 0x465a6132, 0x1c63a9d4, 0x16b4dbd4, 0x20c47223, 0x9136b36b,
+    0x16f48b07, 0x89f382b3, 0xb86e5f33, 0x7a81408a, 0x8a80bdb2, 0x4d679692, 0x139792ab, 0xfc8e1afb,
+    0xa2881b7a, 0x400b3ec3, 0x75ea0af4, 0xbbd95934, 0xab017214, 0x72a22272, 0xd13608ff, 0x71a1a43d,
+    0xb80b6584, 0x0da8da61, 0x1dc2f3d7, 0x4fd36e1c, 0xf4889f05, 0x0bf28bea, 0x7e2d8b99, 0x8f6fea3e,
+    0xe7ea00fb, 0x4ba2124b, 0x260f18df, 0x761eef80, 0x50ef74f4, 0x4cf487b7, 0xe4ba1d1e, 0xb6b296ab,
+    0x55dec51c, 0x360be8ae, 0x50004a01, 0x6b12f070, 0x105eaa13, 0x4bde7427, 0x4597c120, 0x893dd196,
+    0xd1202871, 0x244c3dcc, 0xc7c45c41, 0xd0e5c882, 0x1ac78076, 0x298f7d27, 0xae9241b7, 0xbcf00104,
+    0xd69b8cea, 0x1012b549, 0x5430c978, 0xdb756c7a, 0x8e263a16, 0x27e62bdf, 0x04fb151e, 0xe0bdca54,
+    0x5f6188a1, 0x31bb0de4, 0x6ff24667, 0x48bc210d, 0xb17f4468, 0xfbec847b, 0x33a7c748, 0x260437f0,
+    0x4a1f5bc7, 0xaf8f3ef7, 0x5cd9669c, 0x317041d9, 0xaf341d4a, 0x8b58329f, 0xb29aa900, 0xb2d97bf3,
+    0x73ac1692, 0x465a4ce0, 0x31bdd749, 0xa44368d5, 0x623b39da, 0xdc7145f1, 0xff4d3e02, 0x6426c7be,
+    0x8c6a0fdd, 0x3bfe78cc, 0x91915e5d, 0x5356d926, 0xdfb5cb59, 0x57ae250c, 0xe7378d35, 0xbea32b23,
+    0x4c215ece, 0x4ee69a12, 0xb2994e1c, 0x33c36bd3, 0xd585a44a, 0xa4e446e6, 0x43b5d089, 0xa6c4285e,
+    0xb8b5f3c3, 0x98610b33, 0xb341593c, 0x71cbcb9e, 0x7a554d7c, 0x9affdeb1, 0x1dd1ee3a, 0xfbe68311,
+    0x90758b1d, 0xddbbccc0, 0xa4148910, 0x67a6d7c6, 0xac3a496e, 0xa95fdb0a, 0x74ccfec6, 0xa53bce14,
+    0x5e010cbd, 0xacff5d37, 0x177354a0, 0x1f420cac, 0x193307bf, 0xdf3107c8, 0x7ea080fd, 0xc1a2192a,
+    0x14c4ea2e, 0x359b9854, 0xaac8051f, 0xa81d9aaa, 0x9fa1478e, 0xa46e765b, 0x105dd30d, 0x989caa6a,
+    0x9f274cf1, 0x15a62c73, 0x0a543a16, 0x8b71d5f6, 0xbc6e332b, 0xcd925cca, 0x96df1c90, 0x37b62f33,
+    0x9fd4e41a, 0x9dbe2406, 0xac10edb1, 0x1f77821a, 0xcede7305, 0xc1438fc8, 0x837037c7, 0xb29c06ca,
+    0x93e0ef21, 0xe4da0d58, 0x86a6ab27, 0x2ac8605a, 0xd67e40e6, 0xd27e846e, 0xba2ede2c, 0x733b8d74,
+    0xbe17db23, 0xc714303c, 0xdae8f53f, 0x73e52f6c, 0x83bd8524, 0x3cb8e297, 0x96098d5c, 0x15e21aee,
+    0xee3af807, 0xba9d9dfe, 0x040d80ed, 0x27b7455c, 0x29c079a3, 0xfbdedb14, 0xd24563da, 0xd215203a,
+    0xc9674ad3, 0x41d94f4e, 0x245598fb, 0x542da873, 0x529990ff, 0xf753357c, 0x864182e5, 0xdcbdb728,
+    0x11edc0b3, 0xc2a08746, 0x335a81e7, 0x7c734311, 0x4edc3120, 0xc1112905, 0xff84b8c1, 0xffa8c92e,
+    0x1fc29684, 0x735acbfd, 0x037b9fe7, 0x49438bb0, 0x680e1218, 0xb58bb5b5, 0xd7ffa404, 0x0cca2587,
+    0x048ea925, 0x6ee5eb2e, 0x2c3e736a, 0x70344703, 0xb18cb35b, 0xa380a123, 0x20bc3113, 0xd871c79f,
+    0xb6c17368, 0x3cf015b5, 0xea60155f, 0xb467ad56, 0x825ee12f, 0xbfb6241a, 0x6643f222, 0xdc9acd5e,
+    0xf0b7226e, 0x4ba361b5, 0x43f80c3e, 0xf8ef09be, 0x0506b37c, 0x93901ffc, 0xfdd0fff3, 0x8b9b189d,
+    0xfc37b775, 0xe982230e, 0xdba72ccb, 0xb82f7ebe, 0xdefe6fef, 0x2798cd32, 0x97dbc1e6, 0xe4a0db29,
+    0xf98282ef, 0x775bffeb, 0xee6c4974, 0xdec615fc, 0xdf0ac0a5, 0xf9f62101, 0x9ccc2457, 0x848aba07,
+    0x00c11105, 0x685b59aa, 0x17fe2810, 0xfd1f5f84, 0x4fb2edac, 0xb0a861a3, 0x71273ea8, 0x2aaa778c,
+    0xe84ac9c8, 0xce7e7e04, 0x13d44897, 0xdfdbb2c7, 0x7674fbb2, 0x769dec66, 0xaa1deb04, 0x6fb8dd28,
+    0x56416353, 0x2296988e, 0x07f140bf, 0x29ab9858, 0x15730627, 0x3a0e3e86, 0xcb196fbb, 0x07093ad0,
+    0x22ac5c37, 0x4e3cef84, 0x162e7e5c, 0x3f9fd56d, 0x6c2ace70, 0xb0bbb712, 0x419d3367, 0xa3926592,
+    0xc0e4aca3, 0xfff0c77c, 0x37f1aaaf, 0x973d8dec, 0x7bd4975d, 0xd0e157eb, 0xa2926237, 0x681113e3,
+    0xdd75384e, 0x3a417261, 0x77e0d4b4, 0xd4cea948, 0x02ab8235, 0x80cbbbd4, 0xb35818ef, 0x62a23d6b,
+    0x6cbe07e2, 0x9707f575, 0xbe55bd88, 0x9e24e54a, 0x45b478a2, 0x987a8eb0, 0x5b72a163, 0xb9e39de3,
+    0xfe740548, 0xb9827238, 0x367d2ed5, 0x2eb26675, 0x3db1cbf4, 0x5fc56598, 0xe0832963, 0x6ecc6b73,
+    0x0ffbb8bf, 0x7a5916d5, 0xa4cbad98, 0x48b27c01, 0x407bb70c, 0xb049e092, 0x84cb661b, 0xd6651245,
+    0x90d0a33f, 0x8dfafb9f, 0x6285138a, 0xb6dc3147, 0x51c2fcba, 0x2a70caf2, 0x4b36c739, 0x6eca9c0c,
+    0x39324781, 0x3bd007ef, 0xb5ebe6e1, 0x61a8ff54, 0x9c3896af, 0x393af8a1, 0xf4f3faae, 0x975a33f2,
+    0xd68fc861, 0xee9475c0, 0xe1265d0e, 0x0d6e7d88, 0xe202ddb3, 0x70880c32, 0x4ec60f94, 0x19e25fe7,
+    0x25a8b8d8, 0x7cf813aa, 0x3579c5a6, 0x88203bd6, 0x044b2d5b, 0x97b6b10b, 0x5f7dc1fe, 0x9cf8860b,
+    0xffef139b, 0xbd889bc9, 0xd323b7cc, 0x9e1c6454, 0x3418d901, 0x61422bbc, 0x27b05f6c, 0x4525c968,
+    0x1a05c280, 0x3a1cb561, 0xd9da688e, 0xa4a62752, 0xc17a92f3, 0x3a25b2dc, 0xf04c6fdf, 0xdd0f1850,
+    0xeff55c9b, 0x8b330569, 0xea6c2c64, 0x87a3a75f, 0x808066ef, 0x76c75ac7, 0x30ae65db, 0xefa9a2f9,
+    0xc9e162d4, 0xd9b8cb0e, 0x665c36e0, 0x451b61d1, 0x610c669c, 0xc7a339f1, 0x4863066c, 0xc07f6691,
+    0x2a3989b8, 0xd8c88847, 0x44b9c74b, 0xad61f0a1, 0xbaa025c6, 0x0e05d2b5, 0x7ffaac79, 0x200b964b,
+    0x39306a31, 0x2877efe6, 0x13534223, 0xf5c4d686, 0xccffc47c, 0x3f881e97, 0x0ae4a140, 0x9756e4f9,
+    0xdd54bda3, 0x3c3f0cac, 0x0abd52de, 0x99caacea, 0xfac0183f, 0x89849a7b, 0xb9e80c80, 0x6447abaf,
+    0xe423a4cd, 0xfbdc666a, 0x736db90b, 0x27cd5ad2, 0x557f3cd4, 0x2779af55, 0x5ac5c047, 0x3b08cfd8,
+    0xf3600e15, 0xfb89d940, 0xc11aa0b9, 0x75bc813f, 0x902af349, 0x46ee2419, 0x5ee7cb20, 0x3880c930,
+    0xd2c3b438, 0xdea790c7, 0x613ff6f3, 0x723a554c, 0x8b2c318d, 0x3278fe98, 0x0cb77b32, 0x23d78394,
+    0x99effd23, 0x9d59bb56, 0xf851f7cf, 0x2d4c4d31, 0x354214bb, 0x29bad3de, 0x51dd8e27, 0xa232b480,
+    0x5891f450, 0x5423cb35, 0xcb4d30b5, 0xfdfc9169, 0x0001537b, 0x3e620d66, 0x2bccf31d, 0x42d0dbe4,
+    0xb9156388, 0x28ad31ff, 0x34ee32b8, 0xd82bcb21, 0x3bb5b8df, 0x58224e70, 0x1f5f6478, 0xa2eaa813,
+    0x9fd812a7, 0x8368a340, 0x89b9a5e5, 0x80c5db29, 0x6a63d888, 0xc216a90f, 0x621f33c3, 0x555943ba,
+    0x96645818, 0x5e0eedf8, 0xf1a1fc8b, 0xa5c25fa9, 0x39f09688, 0xa2900e73, 0xb311aa86, 0x810a9314,
+    0x6b724567, 0xaf201330, 0x6c89fcf1, 0x35ea2d0b, 0x425dae48, 0x3725bcf3, 0x1cf160f3, 0x58d55bc6,
+    0xc3215272, 0x6abd67f3, 0x20382638, 0x6dcc775d, 0x9467dbb3, 0x15bbb56b, 0x5ea36e3b, 0x89004933,
+    0xc37ba8c8, 0x2e6a7e85, 0xb427d7b9, 0x15a43ec3, 0xef8d1ae5, 0x9d36a368, 0x04bec67e, 0x77518d1f,
+    0x7eef5b0c, 0xd15f44d1, 0xf80501f4, 0x400d0b99, 0x6352ce91, 0x38cb39a4, 0x4ee9f8e3, 0x1c68d7e1,
+    0xf8bdcf55, 0x4cb7be5d, 0x8cf9858b, 0x2d666b72, 0xabe9d004, 0xc1cb5801, 0x3397044b, 0xf7c4a1c8,
+    0x36363417, 0x7e19e575, 0x4a6be2b4, 0xdde06a01, 0x6cbbbea0, 0x804a7923, 0x139f7f28, 0x97b780b3,
+    0xc2d30fc3, 0x70d2fae4, 0x61691f9f, 0xbaefead6, 0xecde916e, 0x3b9d54f6, 0x4c1f577f, 0x85607c8c,
+    0x17cd631e, 0x1bde7850, 0x35a99ba1, 0xfb153c6a, 0x8322eec1, 0x2ad92959, 0xdbe76f99, 0xba2185e0,
+    0xbdbc170f, 0xe0b95c0b, 0xefb2d430, 0xc0aee94f, 0xe6fad986, 0x37d1abbf, 0xbd810b09, 0x5c2b0a60,
+    0xaa4c957e, 0x1284c222, 0xfc9db349, 0xb60644cf, 0xe15bd791, 0xbf16f5fd, 0x27c4d586, 0xabed7234,
+    0x1ab998c4, 0x45f8684d, 0xff7fedf9, 0x7eacdb7b, 0xfdcbe24c, 0x4554a1d4, 0x1d8f0b48, 0xe42ec6e7,
+    0x9b4a8f99, 0x9f9fcf53, 0x0c38b768, 0x36760da0, 0x840595b1, 0x3fe089d3, 0x3f1e037e, 0x37073712,
+    0xcdf91d09, 0x056926cd, 0xc0780dca, 0xfa09efd8, 0x62581066, 0xd8bd849f, 0xc4ba29f1, 0xc9dc6259,
+    0x3b57eb9a, 0xb7917902, 0x279c35d4, 0x219dbde3, 0x87c57977, 0x1ffaafba, 0xcdc115af, 0x7ddca7c6,
+    0x6e5663ab, 0x4d75b56a, 0x360ac4e6, 0x1fa12dae, 0xb931be58, 0xc4b51956, 0xa2d7c96a, 0xda081544,
+    0x1ee10e77, 0x1b471ef9, 0x743fe869, 0x6832b7f1, 0x231266bb, 0xcedb8072, 0x1b17660b, 0x1c58ce3e,
+    0x75eaa53a, 0x5ef7eb66, 0xcbecd469, 0x7067fdcf, 0x3fe7cbc4, 0xcaad4cf8, 0x16d88c90, 0x1a0f2fe4,
+    0x0bee1ea5, 0x788ae628, 0x6ea68434, 0x01681222, 0xf5d79139, 0x25bb1568, 0xd268b04b, 0x2dce48d9,
+    0xb5277a21, 0x0ffd24f1, 0x4b5ed588, 0x453c560b, 0x5bbbeba2, 0x03d4c4f0, 0xa592840f, 0xd498a2af,
+    0x4b24f7a0, 0xacfc4d19, 0xfb849904, 0x64d366f0, 0xdcbd43e6, 0x6d275f7e, 0x2337dcfc, 0x85935a1e,
+    0x6f81dc7f, 0x6ead1f83, 0xb3e58d11, 0xe590b835, 0x357aba52, 0xa6e2c622, 0x27f9c051, 0x8cd9c1ae,
+    0x367180e9, 0x13bab487, 0xced9aae8, 0xa5764edd, 0x7e933ded, 0xfd08004e, 0x60bdb930, 0x81d789c6,
+    0x3b1657f8, 0x21b2083c, 0x58724783, 0x2188c265, 0xe3314fc1, 0xab96ed1b, 0xee583545, 0xacf50646,
+    0x1b063fa7, 0x5febe0a2, 0x62d4738e, 0x4fd3fe56, 0x33f9fd0d, 0xcd7b5615, 0x87788dd1, 0x1d8f85ee,
+    0xf5d66f23, 0x8d0a6a7c, 0xb5e12938, 0x210eedb1, 0x38e651ff, 0xb40a8f18, 0x05aa99ea, 0xad30b4d3,
+    0x47a1d2d3, 0x5ba41c37, 0x373c2cb8, 0x343d99c3, 0x748b8ca1, 0xdb10f29b, 0xdd93db62, 0x4aac80c0,
+    0x5a1a7639, 0xb4c99ca6, 0xc96c2da6, 0xfef4da7d, 0x48a96c88, 0x330a29c4, 0x005fdb36, 0x932f1dea,
+    0x12db000a, 0xff19e5af, 0x9ac6da9b, 0xda77b12e, 0x29d4163a, 0xc6a01f88, 0xf40d865d, 0x2ab87a26,
+    0x3bbe3a05, 0x17dd42f1, 0xd6733a80, 0xc84f03ac, 0x6bac48aa, 0xd0eefce6, 0x9317e93d, 0xf9cf7496,
+    0xd7004e5c, 0x5b705e30, 0x7e6ff13c, 0x36e4587f, 0xe17a9dd9, 0x379bf799, 0x6334bbd3, 0x97e01e45,
+    0x9ab8bf82, 0x69dc9688, 0x6b714a01, 0xde6957ea, 0x6fe93be3, 0x4745c79f, 0x81904adf, 0xa775a388,
+    0xcabbc9ba, 0xf1f82974, 0xaf95049b, 0x4c92763c, 0x4e40f19b, 0x44af70f8, 0x8ac313a5, 0x3f296c3c,
+    0xed37166f, 0xc1f3eafd, 0x7206be7f, 0x0c2e10d6, 0x111cd91b, 0x73db34e0, 0xa2bb95bd, 0xfc9f84bf,
+    0x9169f6dc, 0xf75f694a, 0x368e9a5e, 0x0e8647c2, 0x0ee0bc55, 0xb6b4bf52, 0x95c94ee9, 0x6b6b75b2,
+    0xe7131a06, 0x9f26bf1f, 0xe3b58a0a, 0x219dcaa6, 0x253fb4cd, 0x41f4d8ef, 0xa6656851, 0xb911c046,
+    0x852e0665, 0xe9deb89a, 0xc95bc838, 0x0fb7ad01, 0x480954e6, 0x11ff32ec, 0x4000db34, 0xa68b6b96,
+    0x92cb8c5f, 0x93229c8e, 0x61d6146f, 0x1fbc7486, 0x9d477be4, 0x940d76e0, 0x71e07f8b, 0xd84173f6,
+    0xd158a2a3, 0xb64f6c6f, 0x2bed3bf2, 0xaa2cf588, 0x135044d0, 0x33ef57f8, 0x21c05fad, 0xf061fc0d,
+    0xb8c91b4a, 0xdf79df0d, 0xc2eb31af, 0xc8fa03d0, 0x99fd025a, 0x02b304d1, 0x271316c7, 0xf9282ea4,
+    0x4a4a6262, 0x4d6dd07d, 0xee949e33, 0xb57f74bb, 0xda9fc5b1, 0x430e6e4e, 0xa367557f, 0xe71f0c8c,
+    0x1baa2400, 0x4d082e5e, 0x78e0b0b9, 0x00c6bb63, 0xb49c327e, 0xcd1611a3, 0x32d135d3, 0x389bfc44,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000095780971304118053647396689196894323976171195136475136 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d27, 0x54039097,
+    0x00000000,
+    0xc84d8d38, 0x4b8bad20, 0xd78812c5, 0x5beeeb89, 0x44cf8c6c, 0x0ec6b855, 0x68b21133, 0x380c4ac2,
+    0x371f1223, 0xfc53a829, 0xf096e032, 0x92e45c66, 0x2f103868, 0x3dfa9a26, 0x7a8374ee, 0x6540fab3,
+    0xc91ac5bd, 0xaa1aa80e, 0xf0afa4f6, 0xea05d50c, 0x62899f02, 0x0fc18ead, 0x79054a87, 0x333d425f,
+    0x4ff19c52, 0x22fcd43d, 0x5eb5d310, 0x5008798c, 0xe7e614d8, 0x72192974, 0xf7057899, 0xa08abd51,
+    0x37c15556, 0x449cf5c4, 0xa8252f22, 0xe1563abd, 0x87144aaf, 0x6894571f, 0xcbf3882d, 0x6f6176f2,
+    0x9974ccef, 0xaa9e05cd, 0x88960f7b, 0xe324de61, 0x37306476, 0x338b3094, 0x053f5ffe, 0x30876456,
+    0xb8f30758, 0xfc51dbab, 0x43ddae24, 0x4127a2b9, 0x80b16082, 0xd232c9df, 0xcc4c9906, 0x5672fc34,
+    0x07847767, 0x12a1b6f6, 0xf1162a0b, 0xd3d31d9e, 0x1d99ced7, 0x52f0b154, 0xbbd67442, 0x34e5a488,
+    0x1b5be424, 0xc3ccaef2, 0xf9df37ea, 0xd186854d, 0xac6da983, 0x74eb500c, 0x0c0eda48, 0xcd7dfde0,
+    0xa3f48af5, 0x043c99b4, 0x6f9f13d5, 0x9a72f119, 0x0d682a0a, 0xc35e31a0, 0x8e115c5d, 0xc7ba04be,
+    0x5698f88d, 0x12562005, 0x596798ea, 0xacb23ebe, 0xf86aa8a1, 0xb0d09bd1, 0xd1af3617, 0xd0639490,
+    0x145a75b0, 0xef71ff03, 0x5772248a, 0x1d6b2fd5, 0xce9f396a, 0x6e6eae4e, 0x53a7222e, 0x70598e0a,
+    0x6578788d, 0x25621300, 0xbdeb63eb, 0xc7a5af10, 0x67448d3c, 0x02c74f30, 0x93c5e9aa, 0xde7297ea,
+    0x2e2974fa, 0x12cc7760, 0x99991c72, 0xa5a00bb5, 0x57a73ac5, 0x7ed34090, 0x7dc00d02, 0xbf38576c,
+    0x58964315, 0x20d96bd4, 0xcf2c2b5b, 0x0ac2e0ad, 0x2efaeb5e, 0x9d618ffe, 0x2f5eaed4, 0x6e617eff,
+    0xe6d8732a, 0x71bd4484, 0xfdcd1c6f, 0x0faa54ed, 0x133f6fba, 0x717ce6ac, 0x8b80cf82, 0xb6ab6bf6,
+    0x6811a699, 0x8f7ab975, 0x22a1717f, 0xf0cc91a7, 0x4c5175ef, 0xbd5bbf75, 0x6e3f7f28, 0x5c724bc5,
+    0xb25f824e, 0x947af6e6, 0xbeb5c6a9, 0xeddf014b, 0x62800f2d, 0xd4d2b3e6, 0xcfe4d1ee, 0x4ab1313a,
+    0x28592a67, 0x882ce43a, 0x9bed61bc, 0xc7a2fcb4, 0x734c67d6, 0xc33d2f67, 0xfcbbd399, 0x7de57d36,
+    0x2425340d, 0xc6dc5a2e, 0x7b516bda, 0xfb32ff36, 0xb1b3e528, 0x955281b7, 0x88a440bb, 0x6eedcf21,
+    0x652ed306, 0x10daaa42, 0x5c027aaf, 0x6dc4c67e, 0x0df132da, 0x30d18666, 0x9384d086, 0xcd563645,
+    0x5c06b9a8, 0x826b15fb, 0xd8706fd5, 0x6ed453db, 0x3da9d932, 0x06a87ca4, 0x6404b4fd, 0xef1a6983,
+    0x52c30277, 0x0cba29dd, 0x3e4b6eb5, 0xa167f2f2, 0x3c37190b, 0x7b03f12f, 0x8effb43f, 0x50a16d00,
+    0x1b523e20, 0x9b653caa, 0xfba457ac, 0x0c971127, 0x36a6b8d8, 0x50963dc3, 0x0b84fec2, 0x53719879,
+    0xcdab603b, 0xb574d03c, 0x40ac7735, 0x23e03f47, 0x7d045a13, 0xe99f076f, 0xb401e7be, 0x73944d22,
+    0x7ddb3a8b, 0x83ca94af, 0xe8e4346a, 0x5561332d, 0x75008af5, 0x1817e791, 0x81aa3f48, 0x07359b2f,
+    0x8f163f57, 0x22f1f3fa, 0x842899cc, 0x8da35939, 0x83063d8a, 0x8591db25, 0x50862f93, 0x7ae26d9f,
+    0xcbfb58d1, 0xed2e57da, 0x9c57a847, 0x365141eb, 0x13731f22, 0x1c8a39bd, 0xf4da1ec4, 0xbb09891b,
+    0x9c8ca6e6, 0x41f53c4c, 0xa1c26545, 0x4840a4c3, 0xd4d71ec7, 0xfb0fd901, 0x106d7465, 0x51e00197,
+    0xf1094c52, 0x70e48d6d, 0x3e8cfb0e, 0xd39a1628, 0x7affc681, 0xa970faca, 0x2eaa882e, 0x58b7623c,
+    0x6d81fa94, 0x377357d3, 0xca750e59, 0x120a63a9, 0xfbe19fd9, 0x10f09a6f, 0x51cff7e8, 0x1a7bd50b,
+    0x389b61eb, 0xdda92f94, 0x23d8c942, 0x7fd5145a, 0x6c417b97, 0xe2b16ebd, 0xa0260da7, 0x41ca80f4,
+    0x60dfe0d6, 0x53418bc6, 0x34ff524d, 0x17fc4df6, 0x5d9fcf1b, 0xc93a78b6, 0xba5a2638, 0x6d5603c9,
+    0x38e43d12, 0xb7a23ffa, 0x47dbc30c, 0x76b9e0dd, 0x7c751773, 0xf5b89f83, 0x8cfbb0ea, 0x6a785c23,
+    0x3e13eff5, 0xd880e40b, 0xce77e758, 0xf0be9fc4, 0x1fb2e720, 0x642a957f, 0xe73fded1, 0xe3e8398f,
+    0x90a013e9, 0x015fc378, 0x1ec0b8a1, 0x4b82c442, 0xf3bc7cc3, 0x5e54186c, 0xfc72f5ad, 0x859c3f14,
+    0x1ef728d7, 0xff0bd43e, 0xbc1ee8ea, 0x5427a53a, 0xb0ec7161, 0x04c69c2b, 0x0854586c, 0x93b7a5fa,
+    0xf2913e0c, 0x316103de, 0x8ff98cc4, 0x5db53931, 0xaa34c527, 0xaf58bb4c, 0xffa2ad29, 0x14837115,
+    0x419f5afb, 0xb6c81c33, 0xe6e464a0, 0x7877f6d5, 0x44b73136, 0x0e8458f6, 0x0b958795, 0xa21feba7,
+    0xd4c655a3, 0xa3afeb71, 0x5e89eff3, 0xb105a135, 0x32f55618, 0x5484397a, 0xff073319, 0x2f4e1f4a,
+    0xd4663cd5, 0x4530c5c4, 0x85ae9250, 0x7301aff0, 0xc0f819e5, 0x1c2e76eb, 0x2b02f657, 0x0e26fec4,
+    0xc0d37407, 0x7ea85261, 0x1fa30a78, 0x87f36a90, 0x585ec1cd, 0x2cc032b8, 0xdcaa7665, 0x8aa469d2,
+    0x4eb5ba29, 0xaebaac2d, 0x1e27b6c8, 0x570976a0, 0xe94486ae, 0x5a0a44d3, 0x38dd6d5d, 0x7558d36c,
+    0xf4a19bea, 0x8da118d2, 0xf6fa746c, 0x7eea4902, 0x7395cb4b, 0x283c2a6e, 0x221f2d7c, 0x87edce20,
+    0x220c4e42, 0x446f6857, 0xdfb93f31, 0x1ba90eda, 0xf27911f0, 0xaa9814fa, 0xf5dc1bf8, 0x12527ffa,
+    0x68976555, 0xa3ad9866, 0x067df60f, 0x6a539330, 0xfc4c9f2b, 0x3b817069, 0xf1ec5ef9, 0xa555e7d6,
+    0xaf88d945, 0x345ae2e0, 0x38205d91, 0x3fa9064d, 0xe4fa2cae, 0x0e731b26, 0xac3cc09a, 0xb2652620,
+    0x82a2ff4a, 0xe223bba2, 0x530a3809, 0x4589ca66, 0x151fc0ac, 0x25109392, 0xf901c82f, 0x52251154,
+    0xfc76b159, 0xfdaef8d4, 0xe48ce8ca, 0x02bccd9e, 0xc3fe7dba, 0xdc40aaf1, 0x89e9c262, 0xd1089be1,
+    0x17dbe5ec, 0x05d2b99e, 0xe6415e8a, 0x5322a13c, 0xb2439103, 0x2640d86a, 0xc7f308b7, 0xfd780f7a,
+    0xc62981bb, 0xb945fab0, 0xac6f0f13, 0xb0d49368, 0x688f6982, 0x070be234, 0xcf043c97, 0x0f00e07d,
+    0xfd771cca, 0x1d4dd544, 0xd682f21c, 0xa70a66be, 0xab13265e, 0x5d47596d, 0xcb8c6907, 0x5cab93c9,
+    0xbf61e2b5, 0x9afe01b6, 0x9c7c3039, 0x022b51ce, 0x3582add3, 0x126ec9eb, 0xd3468cc3, 0x74722764,
+    0x863542cf, 0x75c44136, 0xb48d9afe, 0xaccd77af, 0x98d8e598, 0xddac471a, 0x1f635fca, 0xb3053d4c,
+    0x22432988, 0x18ee5f41, 0x53b233b4, 0x9e8c4682, 0x236b4181, 0x30abad8c, 0xe5aeefdf, 0xa1d76c20,
+    0xd95b7637, 0x19f1f805, 0xc9ae8b93, 0x4052962b, 0x76a3c417, 0x1d7c18fa, 0x09a8f83d, 0xa5f0ec76,
+    0x2de8c4a3, 0x974fe15c, 0xd0cbdd85, 0x60342ab6, 0xb9aab0a0, 0x461aa810, 0x195ff644, 0x4cb6bf00,
+    0xf2d3c1be, 0x1f05e42f, 0x3283f85b, 0x6c57cdc7, 0xcd6fb906, 0x97df5eda, 0x7e353910, 0xcbce3bf0,
+    0xd46b5eef, 0x0df05d07, 0x79a352fb, 0x9e3bd6e4, 0xb2706d60, 0x4a4058aa, 0x761c2c3f, 0x0d8e420a,
+    0x98db894a, 0x6b345ce4, 0x55c06edf, 0x01c3a78f, 0xe4db2f3f, 0x05d1deb8, 0x3d5b971d, 0xbb0e8d56,
+    0xb5b55dc4, 0x73ab2dd0, 0x69fdb2a7, 0x2a416e8f, 0xa7e67c3b, 0xf3b731f9, 0x365856ec, 0x65b660b2,
+    0xcd9ebc90, 0xa77f196d, 0x37e0fa14, 0x5ef19c08, 0x0e114525, 0xc5b9600d, 0xa0af1b70, 0x7dedbdec,
+    0x491a43bc, 0x48d898d8, 0xa4e5d337, 0x905166aa, 0xb6483f63, 0x27353f12, 0x6aff9779, 0x23552669,
+    0xfe82ee07, 0xc86a843c, 0x8b6ae3e0, 0x53c00bba, 0xaa802b6d, 0x1ff5e37e, 0x9dfdee6d, 0x925ca394,
+    0x76dcff45, 0x68e9be0d, 0xa1d51a5e, 0x13ab012e, 0x94d7957b, 0x987095a6, 0xb56ec6e1, 0x7685ed05,
+    0x662123dd, 0x57129427, 0x370bea1c, 0x75b1fa8f, 0x82fbe7d9, 0x53002d09, 0x58973345, 0x269df335,
+    0x46fe84cf, 0xc620c83c, 0x590ed74b, 0x0f5bf52e, 0x7b2ab92b, 0xba83e4aa, 0x237d5801, 0xe6358e4c,
+    0x55038b5d, 0x59d517b5, 0x49e466f1, 0x152d74f0, 0x468505f5, 0x537b3928, 0x1bc422b1, 0x491f3b59,
+    0x98deedb6, 0x939792a5, 0xb4e39d9d, 0x7a37819f, 0xb6bf4c6a, 0x6f1fd051, 0x208925d4, 0x350ca7c0,
+    0x00e03af7, 0xfd28a340, 0xb697be41, 0x0df21dc8, 0x1d5a1c56, 0x79dd96fd, 0x781f9fbb, 0x6f7d94ab,
+    0xa5dc07a7, 0x8cec0cd2, 0xa6b388e5, 0xda8edca6, 0xb22906c9, 0x02f8ccdb, 0x9d1c7512, 0x44528979,
+    0x3256ee5c, 0x26aa62ac, 0x4f4b638c, 0xf8cde56c, 0x82020d12, 0xf80dec1b, 0xba707f06, 0x36d902da,
+    0x569d8906, 0xae59a1d1, 0x7398e709, 0x06170ad1, 0x16997ea3, 0x31483afa, 0x077db7c7, 0x2b4d173b,
+    0x1a9cd99f, 0x1d9478c6, 0x3a125d1c, 0x8a3ddbd3, 0x421df14b, 0x79812734, 0xd4fc3574, 0xdc7f39a3,
+    0x3b9082c4, 0x2c31947a, 0x4c23fb3d, 0xacdfbdd8, 0x1f9bd8dc, 0x60bc5e51, 0x9cf0ebac, 0xb2c89887,
+    0x6ecdd6e0, 0xecdcf18c, 0x42de446d, 0xc3584388, 0x152b7f61, 0xfaef587d, 0x8f16edf9, 0xa1238075,
+    0xb3a1e061, 0xbf08220c, 0xef380f80, 0x15cb3587, 0x920b7784, 0xc3ce045e, 0xdd99d257, 0xe2e933d9,
+    0x4754f2e3, 0xa1e5968d, 0x56a7f1bd, 0x75cfe194, 0xaae3c291, 0x3062e314, 0x6e643648, 0x00d23315,
+    0xb200dd6d, 0x012d6400, 0xd134ba44, 0xb5f1e21c, 0x12ae3e9c, 0xff7c007e, 0xbf284fe6, 0xf91ee143,
+    0x8e5221b0, 0xd593bbeb, 0x9fc80c93, 0x9e5f63ea, 0x435b74a2, 0x4bcb9416, 0xb0fe07fb, 0x6df598f3,
+    0x391ea0a3, 0xa0829d08, 0xcf1df92f, 0x9b0ccb44, 0xb89dc2d6, 0xbd48c9b2, 0x89335e75, 0x26d2b1d9,
+    0xf2f2f9fa, 0x36e12515, 0xf84323ad, 0xf723f58d, 0xacc1395d, 0x119b6426, 0xaf9ff650, 0x52580ff5,
+    0x1da047a0, 0xc54978f7, 0xdabf2f93, 0x92e23a82, 0x3ab5f696, 0x4a18521c, 0x3922c732, 0x88787be3,
+    0xdec988f3, 0x757e7fe6, 0xd58e899b, 0x243d09fa, 0x9504ae6d, 0x6ef84cf7, 0x174ba1a8, 0x0ac0dcd2,
+    0x2a1cc41c, 0x79b8a9df, 0xdd281225, 0x2940c278, 0xaa661da5, 0x19051f41, 0xa8191319, 0x89fd592e,
+    0x4fa772c2, 0x6a8d3ff5, 0xb829d2c2, 0x465640fd, 0xf0ce8c20, 0x7599c069, 0x8d73d3cf, 0xf212df0d,
+    0x35834351, 0xcbf03915, 0x13cece06, 0x11ce9e6f, 0xb925a68b, 0x20250f80, 0xb0749b5f, 0x1bfdd079,
+    0xd1bf1974, 0x6c55bc11, 0x2e382eaf, 0x562d8c25, 0xfd88e13c, 0x49ae925c, 0x6264246c, 0xf24d7fda,
+    0x774ad53a, 0x62b209f3, 0xf8653a37, 0xdc18ed19, 0x8c16ef1b, 0xb6e19ed9, 0xbc327033, 0xf79e551e,
+    0x9f730bfe, 0x7466f0e5, 0xcf680d4e, 0x95616b8a, 0x3fda6271, 0xa1301378, 0x94ba2ddb, 0xdc730c51,
+    0xcdb1595b, 0xc10eac63, 0xddc5966d, 0xe0de94d5, 0x05a80591, 0x18da53e4, 0xcd875e55, 0x9f62ebd2,
+    0x942e35d5, 0x3567a190, 0x7ed4ee5a, 0x8963e74a, 0x0e1962a6, 0xf4ddf3cb, 0xe750d015, 0xeb4c1f80,
+    0x0e4db9af, 0xafd3b4ef, 0xc2fb4bda, 0x1f4a0730, 0x5cc9fea8, 0xeb4461c2, 0x600aa83a, 0xaa936bc3,
+    0xe0b86103, 0x90590a98, 0x9c7b119f, 0xda93b1e1, 0x4442ed6d, 0x557cf279, 0x7e97566b, 0xeab3c451,
+    0xbecf3c83, 0x795c8014, 0x5b16e0a4, 0x1b020047, 0xdcfb076e, 0xbdeb66d1, 0x21f3555f, 0x4db6c565,
+    0x68302c5b, 0xb2e30be1, 0xb0107d2e, 0x9b1111ea, 0x091e00a1, 0xfb87597f, 0x33f87d86, 0xbfe53161,
+    0x9f690a66, 0x83bbd585, 0x89c13fc0, 0xb5ef9136, 0x038aa6d5, 0x6a76b62d, 0xa80044a1, 0x435678fa,
+    0x3f9324ac, 0x17ae9995, 0x050bcf56, 0xe091e0a6, 0xf68421f9, 0x0d438beb, 0xd5f95fc3, 0xf1672326,
+    0x0b4e4238, 0xcae5a3a0, 0x63abc29b, 0xff9ac237, 0x97c45dbe, 0x216d8261, 0xf6361224, 0xf7bf91a4,
+    0x8b7fb1b1, 0x93be7e02, 0x5fcf0c6b, 0x876d17e5, 0x5f7b8627, 0x1760f0a4, 0xb435f954, 0xb40a08ad,
+    0x27c288fd, 0x3bd0fd0d, 0xb1c67b38, 0x939d6141, 0x6d824255, 0x035f647a, 0x676c8eb3, 0x74fe6388,
+    0x805aa79e, 0xe061c56a, 0x0653680a, 0xa8fa4ad9, 0x0d2e29c5, 0x113d8c7b, 0xf151b1ae, 0x16acb930,
+    0x42bd353c, 0x31a451fc, 0xa43aa91b, 0xeb3f208a, 0x2b8ea517, 0xf24ad5e5, 0x43703989, 0x1191a044,
+    0x560ea0ee, 0xb278e83e, 0x8817777e, 0x625187ca, 0x6fc1147d, 0x9c5d446e, 0x1d1f0a5d, 0x1f7d99de,
+    0x3d873030, 0xd73826aa, 0xf2244f27, 0x4becd17a, 0xc93ee867, 0x733d4ef1, 0x2e26cb9b, 0x53e9a16d,
+    0xcd061149, 0x05ec6c26, 0x60813377, 0xb373899a, 0xcb0256c5, 0x543c3043, 0x86a3bf88, 0x97914de8,
+    0xcad2affb, 0xd69a56b4, 0x33fa2392, 0x4f45eaac, 0x0b4bb6de, 0xfe0edee2, 0xb31b298c, 0x5de6eb32,
+    0x64eb3f68, 0xf96a39a1, 0x53953795, 0x805ce6d6, 0xc500f21c, 0x94864362, 0x1440655a, 0xd659d831,
+    0xb5529ab7, 0xbb97d3e8, 0xb335931f, 0xef7d6c5f, 0x05def69c, 0x731c017e, 0xd59952a6, 0x147ed0ab,
+    0x531514b3, 0xa5c5541c, 0x9616848b, 0x1c3490d2, 0xd10538cf, 0xa2fb21a3, 0xeb258558, 0x586d1295,
+    0x6b23c6b2, 0x326af1d0, 0x30b1e462, 0x6e2ee760, 0x2aa9534b, 0xde48c869, 0x1694726b, 0xda69d417,
+    0x00d03af6, 0xa0fcaab6, 0xfa2d35fd, 0x56d9ae99, 0xf8efa08d, 0x3470ffe1, 0xa8120ec7, 0xbc0ec3d2,
+    0x161430a7, 0x313c9fed, 0x1390315b, 0xadb6c709, 0x06bf48a5, 0x7e718fff, 0x6b3d04cf, 0xa28bed6e,
+    0x6d1764e3, 0xeae3bddf, 0x9dc32e35, 0x0453e5ef, 0xa59674d4, 0xbe2f5392, 0xea19cfbf, 0x365516a6,
+    0x14b968be, 0x4d9ff426, 0xeb1f0ab7, 0x73670011, 0x83fb9e91, 0x56c9cfe6, 0x87779d8f, 0xdcdcf59e,
+    0x6ba0c3b9, 0x2c1ac45d, 0x31e78e05, 0x464bb654, 0xf629944b, 0xe6516dc2, 0xb3415143, 0xb828ec61,
+    0xd5d2ada5, 0x8ba960e6, 0x7de90828, 0x67b54ab7, 0xe395b25d, 0x6aac112c, 0x7f4a405d, 0x68559049,
+    0xfb83df66, 0x3488bbc7, 0xd59d5a91, 0x5ceb00b0, 0xe5468ed7, 0x8ee23944, 0xb50fe003, 0x8a77d35e,
+    0x44a31968, 0x86e4a7a0, 0x3c09ba8d, 0xdec00e0e, 0xc419a038, 0xc726ff9b, 0xc8fc5757, 0xab645030,
+    0xf14e41fe, 0xb09256b4, 0xdbdd9ca7, 0x0101a7bd, 0x3510c83c, 0xb1b13d7d, 0xfd83aa52, 0x59b1733e,
+    0x73fed16b, 0x2a7030cc, 0x201bae95, 0xdabc733a, 0xd345c968, 0xcdad6da0, 0x2c02123b, 0x0fda2cb7,
+    0x9b4b23b2, 0xea0dd96e, 0xbe847ae7, 0x5f8faa9f, 0xa0bc41cf, 0x522bac9a, 0x4a4e2e06, 0x5866f78e,
+    0x70546994, 0xc3de34b3, 0x50d7dd57, 0xeb383e89, 0x50651e22, 0x3df634a2, 0xfa8804b4, 0x7afdf03a,
+    0x3a87ff26, 0xbd3cb45c, 0x616a13db, 0x8eec72a3, 0xd1862c50, 0x31da061b, 0x21668b29, 0x53d7bffb,
+    0x745d7430, 0x3c726ffd, 0x7f3c9896, 0xb57d2fc0, 0xa0991089, 0x1be6aa17, 0x4c216fbb, 0xae7f4b0f,
+    0xd9d869b0, 0x1d810172, 0xc20dfddc, 0xff29fd08, 0xe4ba7ce3, 0x621667f6, 0x377eee41, 0xcb0116ed,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000047890485652059026823698344598447161988085597568237568 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32693, 0xaa01c84b,
+    0x00000000,
+    0xa01f0248, 0x79c2826d, 0xa979f857, 0xc1165435, 0x097eec2b, 0x427fb591, 0x71278d5d, 0x722a1a1e,
+    0xc01d96ea, 0xcda83455, 0xdff51125, 0xc59ca354, 0x6fa2288f, 0x8c5c7711, 0x01925e15, 0x05b98821,
+    0x1c1ddd97, 0x656b5dbb, 0x3d2014ac, 0x00d2ee4a, 0xe1b3df9d, 0x3a63a6c2, 0x1fa2f994, 0x75afd673,
+    0x87fa4e12, 0x08850d02, 0x78bcb366, 0xbfba7514, 0x7ea13231, 0x07ea2818, 0x4586b5b5, 0xa5788db5,
+    0x30ff4133, 0xbba7cc92, 0xba8721fb, 0x5500289e, 0x39a80331, 0x4f56d163, 0x4806392a, 0xb3015605,
+    0x6b8938a1, 0xbcee4bdd, 0x2191e519, 0xd6ef989b, 0x8b26d20d, 0xc98f4a88, 0xf7e243f4, 0x9d1eaa3d,
+    0x7eba52a5, 0xf028ef6f, 0x668c00b4, 0x275dfff2, 0x22291a82, 0xe4f6b6d7, 0x466d1087, 0xb1cddb24,
+    0xd8e81ea3, 0xba69b43b, 0xe89dd301, 0x6be03e75, 0x3d914484, 0xe9dd540a, 0xe7418419, 0x17a1a84f,
+    0x5702a53a, 0x77a976ab, 0x1f576655, 0x0be7bfb1, 0x757777a5, 0x0c39f16b, 0x29d30909, 0x8de913e3,
+    0x97899bbb, 0xd3c48cc4, 0xa28f04ae, 0x8c5a49df, 0xa5549329, 0xf3e7f80b, 0xc58d2150, 0xddb543ac,
+    0xee89a22d, 0xdbdffc11, 0x7e430857, 0x8c403a2f, 0xfaff576d, 0x0c48ba2e, 0xc56d8195, 0x18f7200e,
+    0xb38fb50a, 0x32e0c76b, 0xda43ff40, 0x75a366dc, 0x5ad66c8a, 0x5c35b3fa, 0xd1848a87, 0x26bdb9dc,
+    0x5e44bba4, 0x696e06ac, 0xf009d71e, 0x240f46ba, 0x4b8eb7ef, 0x5bcaefdc, 0xec4690a6, 0xd9e188b5,
+    0xf33b1872, 0x15a29780, 0xe6509aea, 0x5acb46b3, 0x50efe8ea, 0xf9c5305b, 0x74518c47, 0x07feaef9,
+    0x012bffe7, 0xa4676042, 0x721c9b60, 0x38f62c1d, 0xe59a982f, 0xda65bae1, 0x75ddf9bf, 0xb3705b99,
+    0x0251c241, 0x2d32ded7, 0xaefe1f3a, 0x47665152, 0xc2dc77be, 0xda5df04d, 0x6409dbfe, 0x0cf73a25,
+    0xa025a708, 0xa918ef78, 0x689b9e72, 0xa91e718f, 0xb390c1c9, 0x27001d84, 0x421c1b92, 0x5fa137e1,
+    0x51059e66, 0x09e088cb, 0x2b406f56, 0x639852bb, 0x8c427c20, 0xf80f53ce, 0x651a261d, 0xce117abe,
+    0x4c14fad5, 0x1958e186, 0xc17ea8af, 0x6cff08a3, 0xe8c5d11b, 0xa83c520a, 0x52d3de75, 0x3ce08910,
+    0x4da8affd, 0x3c650982, 0xd14d2a53, 0x3c2dea80, 0x74b6042c, 0x010c0825, 0x1bdb6c61, 0xae4159b7,
+    0xe00ad4c0, 0x83e27782, 0xc832381d, 0x1231c297, 0xd267609f, 0x80d5b5c8, 0xbf7c49d4, 0x654cde3d,
+    0x03da554c, 0x29e518a3, 0xbb1450e8, 0x7f81c5e7, 0xc865d680, 0x70353454, 0x20ae706b, 0x53ef1ebe,
+    0xf5789335, 0xb295630a, 0x8194ffdb, 0x73b7207c, 0xde5f3b9d, 0x9632ea5d, 0x8b558f33, 0xde8d80f4,
+    0x0ded370d, 0x0a998b23, 0x816833f3, 0x6583df64, 0x32f63145, 0x800bb653, 0x2308b3cd, 0xa0047996,
+    0x51747c09, 0xb2d3291d, 0xefe48381, 0x55f0ff0c, 0x0504932f, 0x7f029b57, 0xa16ad0d9, 0xbb067132,
+    0xee840a28, 0x0a30b65d, 0x6319e0f1, 0x48bf038f, 0x8ab769cf, 0x8ae92ac2, 0x27f014b8, 0x5ee8c85d,
+    0x37005da1, 0xd4df3773, 0xbe314173, 0xe9f6fa9e, 0xa3c59d44, 0xd26248a2, 0x759e2108, 0x89745728,
+    0xe092c811, 0x77e8f2a4, 0x7abdd5fb, 0xb536f63f, 0x2c593bc7, 0xc7a8164f, 0x2dedbe27, 0x6f26a298,
+    0x64c4aee4, 0xa5d91da9, 0x108df0a1, 0xc36d460a, 0xc7e92a44, 0x86bc5cb6, 0x7ef41ecb, 0x3a845182,
+    0x45af2429, 0x1cb01eee, 0xe6b048cc, 0x6381359d, 0x8a469ec1, 0xddf8f055, 0x7dc9c4ce, 0x3249193a,
+    0xb115260c, 0x78dc60f4, 0x98471514, 0xe2421848, 0x591f6aec, 0x6a6907d4, 0x66e88b45, 0xdd3586c3,
+    0xa2bfa646, 0x5ab31f6b, 0xf351a5b4, 0x8175b309, 0xa9c8f20d, 0x674b6c5c, 0x80276f5d, 0x9766de19,
+    0x8c5f1541, 0x37ede45a, 0xcb7d599c, 0x16d1d15b, 0x3a9373e6, 0x2436de53, 0xba9c2b17, 0x8d4ef0e8,
+    0x9506414f, 0x3bdae383, 0xb16bef26, 0xe8294b06, 0x05b577d8, 0xe6fa4947, 0x6f382a3e, 0xef796ec0,
+    0x6e464d6b, 0x1a1896fd, 0xf646ce41, 0x610635dd, 0x51d391a3, 0xd2259f1d, 0x7e844879, 0x6f3f819f,
+    0x4e372659, 0xe733a14a, 0xba995a8b, 0xe84ca3b8, 0xa69c97cb, 0x5076e2c7, 0xe663abab, 0xcac5acbb,
+    0x459f5b86, 0xf281df3b, 0x5d433b13, 0x1df15f67, 0xe178e12d, 0xafcf203b, 0x12b827cf, 0xd108b9d7,
+    0x9108ddb7, 0xfb1a5176, 0x7c6ff18a, 0x0d11acc3, 0xdd740faa, 0xe23f412f, 0xa3506916, 0x1c99135f,
+    0xeefb98f7, 0xac8e2d7c, 0x4067bbe3, 0x70637c2b, 0x00669817, 0x8bb7621d, 0xd4a08684, 0x84b14a9b,
+    0xce4e3060, 0xe9418e2d, 0x0af35c69, 0x7d370a11, 0x71c0297c, 0x9256021b, 0xd209f16e, 0xbff0dfa4,
+    0xfeb88d98, 0x427656a8, 0x7074c287, 0x531f1134, 0xdca47889, 0xf8871e68, 0x38fe888b, 0xcd776863,
+    0x6ad9b5bf, 0xbbdce057, 0x84610e10, 0x5632e5b9, 0x064b7474, 0x820e825b, 0x653f8715, 0x607c67f0,
+    0xf1db7b2e, 0x6249d341, 0x83fc9ed4, 0x8725ec82, 0x49fd1442, 0xe64713fd, 0x3aea1481, 0x7baaf2bb,
+    0xbac17dd5, 0xd308f17a, 0x4726ba7d, 0x9aee8802, 0x93b780aa, 0xfad81d9c, 0x1c3479e4, 0x2858665a,
+    0x26bc254a, 0xa10e56dd, 0xed8122e6, 0x80df0d3e, 0xcfbd5003, 0xfde66900, 0x9f7be83d, 0xacfa982a,
+    0x8698e6a4, 0xd29e026b, 0x3c701652, 0xfd8bf8f3, 0x931c12c9, 0xab698c2c, 0x788bffdb, 0xd989bb7f,
+    0x252370be, 0x0bc8314c, 0x898e4c38, 0x8836a301, 0xbf831bbe, 0x25e594b8, 0xd4bc1d59, 0xdd6aeed6,
+    0x46d30738, 0x3144ea7a, 0xe3af5d43, 0x7c461cc0, 0x21ee51dd, 0x18a95a76, 0x97e25786, 0xb82e6bab,
+    0x70ae2be1, 0x6364cacf, 0x28b1e66e, 0x7aa7e6ca, 0x280c506b, 0x458e2047, 0x15bab731, 0x59cc683f,
+    0x0f6ede0f, 0xbd774f61, 0xaaf9f023, 0xdf6cb36e, 0x911fe41f, 0xe61f2259, 0x2c9d2e0f, 0x6748625d,
+    0xa768bf27, 0xacc9ac9a, 0x8c404d2a, 0x40991707, 0x393dbad8, 0x50f61c58, 0xa816fb15, 0xd16b1ec7,
+    0xc044a208, 0x77c61299, 0x85729c6c, 0xb0dfdff0, 0x2f3aa8e7, 0xf1e03b8e, 0xbb389986, 0xe367564c,
+    0x4c7a335e, 0xbb9fc55a, 0xa98b7639, 0xb8233d8d, 0xfc0d4228, 0x04bf0884, 0xa78d504a, 0x5db3fdd6,
+    0x84dbc4de, 0xe5cd252e, 0x778ea02d, 0xfada0ce6, 0x952fd76a, 0x93b8c1d1, 0xa7ee2893, 0x2d485cef,
+    0x04b94d2a, 0x75de24e4, 0x610504be, 0xe660c545, 0x6ac171f0, 0xdd81d5bb, 0x0803f578, 0x45b19827,
+    0x0120c348, 0x7f7ef3e7, 0x9edc9836, 0x86931fc9, 0xdd2ff008, 0x54bc9e21, 0xfab481b1, 0xf1aa150f,
+    0x9435ff84, 0xcd19b005, 0x0d5231dc, 0x827873aa, 0x3a9826b8, 0x566c72ba, 0x5e2a7fae, 0x17f2e4cb,
+    0xa1bb07d9, 0x55084899, 0x45b564b1, 0xa67c756d, 0x96189f0a, 0x268c9862, 0x977d1f69, 0xaad2d797,
+    0xb930610e, 0x34a122d6, 0xbfbb14a0, 0xd5d240f3, 0xb187a335, 0x6535e93b, 0xee3c26ad, 0x5e65add9,
+    0x05f74cac, 0x863e885c, 0x411a59c5, 0x499b8e69, 0x3d6fa51e, 0xaf6829e7, 0xa10cc36b, 0x14e27e6c,
+    0x8aaff3d0, 0xb9f4c1ac, 0xeeb0c256, 0xc7d08527, 0xa112e6e5, 0xe34f5bfc, 0xaf999d46, 0xb5ddbd5a,
+    0x5cee64c2, 0xde3cbe5a, 0xabce640b, 0x8bdc0f6b, 0x118f5675, 0x2ede7354, 0x7561d688, 0xb7d8fdbe,
+    0xbe36d737, 0x5f14fef7, 0x74fd84cc, 0x23a28584, 0xcde663d8, 0x16ee6bc8, 0x4ca44f73, 0x1ce262c7,
+    0xeeeaa2b8, 0x3aa0325d, 0x0e763e54, 0x5c9c4cf8, 0x2fa5c278, 0x24672815, 0x49e02091, 0xc1679a91,
+    0x8049836f, 0x9ff7f564, 0xd25f1b28, 0x6a95b361, 0x09558765, 0x8f9737d9, 0x28fbecaa, 0x54390945,
+    0x88638983, 0x183c626e, 0xbce06fc8, 0x9e0f4be1, 0x4fc5248b, 0x52290eb5, 0x4dd600fd, 0x7087f5d1,
+    0xa66ea7e1, 0x31a15085, 0xf73f700d, 0x26ce3ff4, 0x2500d718, 0x01c32eeb, 0x0e3babad, 0x74f943e1,
+    0x31e6af52, 0x577a056c, 0x3203e562, 0x2d4ad41d, 0xbed6b9fa, 0xdf9cb9de, 0xaf9bce9c, 0xa8dc5a7c,
+    0xfe4c3013, 0xa89a63ff, 0x8facaaa1, 0x12d24013, 0x22bb30e4, 0xffcbdc1a, 0xd049a629, 0x64690ddc,
+    0x5a064d5a, 0x0bfa99ff, 0x4c922ac4, 0xd87424c1, 0x97fb09e6, 0x527d4572, 0x99afe3f8, 0xe442d908,
+    0x8b3b5f89, 0x68944833, 0x221fdd8a, 0x4db64a02, 0xda2907df, 0xe836f13b, 0x95a3a507, 0x1dff4acb,
+    0x1cde4fbf, 0xd8327575, 0x8769a19f, 0x5d7d7645, 0x3abf3ec2, 0x443cc963, 0x08990991, 0xde2761ec,
+    0x16fe21d5, 0xf3e61fdf, 0xe1efde13, 0x9cbe2b87, 0x054323cd, 0x504633e2, 0x26aa21b4, 0x246dca97,
+    0xf51a1435, 0xa491b074, 0x5e0f5b78, 0xc249f6ff, 0x59f6baa8, 0x71d8c9fb, 0xb0f63c54, 0x18281fac,
+    0x1b4e7e10, 0x6e7aa7c2, 0x33dea64f, 0xa9447f74, 0x9c41b649, 0x7f16bb76, 0x99ad69b1, 0x433d3bf8,
+    0x78a9f483, 0x1667f956, 0x1ff22245, 0x118f3eae, 0xe92299eb, 0x8135cf42, 0x793a2731, 0x9b74774e,
+    0xdfa88e22, 0xe940135d, 0x7ba62b23, 0xcdebf198, 0xc73457c0, 0x5d7b858f, 0x685edf8d, 0x1fd39428,
+    0x391254e6, 0x17a35a29, 0x9ec34b3d, 0xa0e99ddb, 0x6d30e0cf, 0xfeafab2e, 0xfd80961f, 0x69304554,
+    0x3584d396, 0xed2f3d9f, 0xf5692b2e, 0x126a3ffd, 0x68d8802f, 0x12ca9213, 0x338fbc10, 0xd044cce1,
+    0x2cda0e98, 0x5eb42506, 0xf1a3c991, 0x631973ef, 0xce94d7ed, 0xed5408d2, 0x8b3b3cce, 0x42f0a090,
+    0x7bff0aaf, 0x693e736b, 0x09cefba0, 0xad183882, 0xd9f43ec6, 0x09ffdd27, 0x9b175ed5, 0xbde72951,
+    0x2abcb2e6, 0xdefc6cba, 0xfd96a081, 0x029ccbcb, 0x09696795, 0xff7b0b04, 0x66f9edcf, 0xb3e6611a,
+    0xe5006da3, 0x597cbfa1, 0x35eb30de, 0x12e88b85, 0xaff837ef, 0x507e570e, 0xe7fe1eb9, 0x04f33f9d,
+    0x4dda08b2, 0xa37d333a, 0xe6232feb, 0x30808620, 0x00313347, 0xefbb92fa, 0xd2f1540b, 0xfc7f1d88,
+    0x0179e664, 0xffc17b0d, 0x3d1a9bd3, 0x412b22de, 0x01248a5a, 0x0d04dd34, 0xc8e9eaac, 0x1584a160,
+    0xbb109c2e, 0x8f08fad2, 0xbc455968, 0x47281303, 0x30891db7, 0xcfa22057, 0x49e933ae, 0x3a24c186,
+    0xf65fe00d, 0x7603e57a, 0x91f3f88f, 0x9101cfac, 0x784eed65, 0x7f89ba94, 0x48962efa, 0xb1161b06,
+    0xf919af9f, 0x4f403ff0, 0xae6cfe7b, 0x569090d6, 0x3e5aeac8, 0x61dafa7d, 0xce3fbc48, 0xf05fee03,
+    0x2ddb9201, 0x9aa4eb7d, 0x37ee6221, 0xb794cb60, 0x975859cf, 0x822a502c, 0xb59f6ab2, 0x67158f33,
+    0xba9a99f8, 0x766470d0, 0x85b54d0d, 0x132d031a, 0xbd7d9d59, 0xf9cde4f0, 0x0cc7ed28, 0xae602330,
+    0xe28702a8, 0xc702d69e, 0x57c619f1, 0x3b594fb5, 0x5020b0c5, 0xe9d69ed8, 0x6b51e05d, 0xaacf50e6,
+    0x3ac3d010, 0xdac8063a, 0xb5b0e3b6, 0x10c29e88, 0xc2f09530, 0x911daaab, 0xe4fe8fbe, 0x5e93e2f2,
+    0x7f102490, 0x70df7058, 0x81939b41, 0x7f9dfbf9, 0x259da101, 0x4a84d1ec, 0x25d3e070, 0x5d82a44c,
+    0xfcc333a0, 0x648c07ae, 0xbfb77337, 0x98dc9432, 0x39ba8ec3, 0x627d18d8, 0xf7b98ea1, 0xe900e354,
+    0x20fbf649, 0xae529910, 0x07f076c8, 0xd40f86ec, 0x9622abdd, 0x74f30d29, 0xa90bf82f, 0xb8d7bf8a,
+    0x71b05a55, 0x2308528e, 0x1899a325, 0x9372d336, 0x05b1174e, 0xada0fc19, 0xe1a174de, 0x33ed1783,
+    0x76cfb770, 0xc4f6c3aa, 0x11da27d2, 0x2d34916d, 0x61fc0724, 0xceff57a1, 0x86770b4e, 0xa5c177ac,
+    0xbb274f45, 0xa045d425, 0x208aaa53, 0x1294259d, 0xfc8542d8, 0xe679b345, 0x42545182, 0x9b6f6fe6,
+    0x340721d3, 0x2c6ed73a, 0x4cbea4ee, 0x91d3d323, 0xeb45dc54, 0x9b9424f5, 0xfbecb269, 0xdb985aca,
+    0x0c600149, 0xf8b164f6, 0xc5f09c92, 0x9d1dff07, 0x9df1cd6f, 0xb2d893c6, 0x45a86359, 0x17967e4d,
+    0x070fe096, 0x34f35d27, 0xf17adb41, 0x0de1fbd4, 0x0bb43cf1, 0x394cc57a, 0x97e1573b, 0x49976cd7,
+    0xc0f86a37, 0xe9741116, 0xd4c7ec94, 0xe1308f0d, 0x0c53d6de, 0x117722cb, 0x8758e874, 0xfaea2994,
+    0xfcbe8cd3, 0xe7cfd1a0, 0xf599065e, 0xadcc507d, 0x32240c9e, 0x956d2141, 0x455b56ac, 0xb4be3602,
+    0x54782ff3, 0xcb25ce23, 0x04d46e80, 0xb4aacc58, 0xcc9ed058, 0x898b7bb8, 0x642379df, 0x1b6f183d,
+    0xeb019d38, 0xf044f321, 0x74c466a8, 0x0ca4e0ae, 0x11405e6d, 0xe44a8c3f, 0x32d35778, 0x0d982243,
+    0xf483defe, 0xd85dd1ed, 0xab85f806, 0x5c266005, 0x5a4eb4a6, 0xb250f417, 0x81c9f109, 0x81e18070,
+    0x584049f6, 0xe0cec0db, 0x459a8bce, 0xb74b4a1d, 0xf2ebee26, 0x731d8d1f, 0xa4a6ef70, 0xf1e54b08,
+    0x7ffac89c, 0x6cd87067, 0x93d0008c, 0x70b7dd0d, 0x9328b4a4, 0x910a7161, 0x8370ae5d, 0x00f67327,
+    0x617ec25f, 0x78013527, 0x4d640c41, 0xe7030281, 0x4b826c8f, 0x7414e589, 0x73b4f69f, 0x9fb30f29,
+    0x4e71888a, 0xa9b0ab41, 0x41a69689, 0x08617989, 0x546c9b88, 0xc3026547, 0xb93aaf33, 0x8e266561,
+    0xa78e100a, 0x1157ab8a, 0x11a55dcb, 0x4e8832b3, 0xa0e031e7, 0x35ffb1c1, 0x817de3f2, 0x1b4bd4d5,
+    0x2b6e429e, 0x77a358e4, 0xfa32f6a0, 0x3dbb2bb5, 0x05d28577, 0xb5d5765e, 0x3d6a23a5, 0x77cbddc6,
+    0x2d77883d, 0x25049f4f, 0x98178375, 0x4f3e0724, 0xf4fa801c, 0x3d748d47, 0xf4c058c5, 0x42fd6a51,
+    0x7a8a5853, 0x54022699, 0x2c91eb68, 0x4681244e, 0xa3cbf3ac, 0xdf6ab8cf, 0xec6e6a77, 0xba0979e5,
+    0x021192e3, 0xda67c947, 0xc9aea182, 0xd69d6712, 0x574444ce, 0x87194933, 0x1d356bee, 0x824e2478,
+    0x4f26213a, 0x8092b716, 0xeb8a5746, 0x54b36b0c, 0x3e91b79f, 0xa949da35, 0x336de9a5, 0x7aa9caad,
+    0xd99e9c3d, 0x65602b02, 0xc5fda7df, 0x841be209, 0x40bcbcfc, 0xb47b64c8, 0x43bb476c, 0x7d4b827d,
+    0xd8822e4b, 0x7c103e61, 0x831e9f52, 0x95a3d6b6, 0x265c1fc0, 0x91df608e, 0xb202a3c8, 0x64bfcf00,
+    0x9ddc831d, 0x9855be59, 0xe708bdcc, 0x19d13b46, 0xad6f4536, 0x6a1b5fce, 0x9bf94dcf, 0x50ca458d,
+    0xe7adb493, 0xb34c93b6, 0xf161b528, 0x204dfb0f, 0x901596c0, 0x413b89da, 0xfd126d09, 0x2255cdee,
+    0xb5908425, 0x10c9b0fa, 0x9f2dc569, 0x59fc0167, 0x8c800d7d, 0xa6a3e24d, 0xb45360f2, 0xf1bb9187,
+    0x673d9d8e, 0xf41ee1c5, 0xecd43feb, 0x53ee6a92, 0x2c81c318, 0xbabb72bb, 0xfdc4fc93, 0xfe6e496e,
+    0x68da26b7, 0x40502d8b, 0x0ad4b547, 0xb86e7c33, 0x15b1f3a4, 0x0109a1fe, 0x709cb0b1, 0x80b9ba57,
+    0xc22b216b, 0x2baa4448, 0xe1c6ce61, 0xfa6d24ae, 0xffb71be0, 0x53c9b4f3, 0xabdf2ccd, 0x084d1d08,
+    0xfc41b025, 0x58f78203, 0xc35bfad5, 0x4de21056, 0xd8408101, 0x7cc10f5f, 0xebc52516, 0x5c8202a8,
+    0x524a32db, 0x839980d8, 0x06828fa5, 0x975b29f5, 0xfa2420fb, 0x2e024857, 0xee00088a, 0x6a380bb2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000023945242826029513411849172299223580994042798784118784 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599349, 0xd500e425,
+    0x00000000,
+    0x8f299a4c, 0x7cc26608, 0xe7be42d3, 0xb9028c71, 0xf41af13f, 0x5ebb570c, 0x165eb8c9, 0xd8037ee1,
+    0x5bb4cf8e, 0xf13093ee, 0xed44c064, 0xe335f7d7, 0xd6d1c37c, 0x3442616a, 0x45a257d2, 0x0a6f164f,
+    0x801f0fc9, 0x72cf841a, 0xeeda5bd3, 0x150910fe, 0xeef5551a, 0x98885c9f, 0xbbeb3edb, 0x7fb5db31,
+    0x6ce41387, 0xc82a4c04, 0x8a32f897, 0x18a51032, 0xac4f14b5, 0xd079382a, 0xf55e35b0, 0x37dd41f4,
+    0x3ec53c1d, 0x859811ce, 0xe6d2561b, 0x3befe03f, 0xad3afd14, 0x17f67b5c, 0x72d384f8, 0x29ce0837,
+    0x05de0d1d, 0xb8be3716, 0x0f22975a, 0x08f92fd5, 0x9fbbf0da, 0x468cec30, 0xee526acc, 0x218c3fd7,
+    0x5bf30bc7, 0xd49a4e9d, 0x1d896e5c, 0x4bcf9078, 0xd02efd9c, 0xc811da3d, 0x64968b56, 0x79a935e3,
+    0xe7a9ae7b, 0x6e0c07c6, 0xc5c8fb58, 0x9857dd34, 0xd1a0c50e, 0x7c634587, 0xe6d418ef, 0x5a7ad44f,
+    0x0ded01a8, 0x0c702050, 0xa07aafc3, 0x9ccc787d, 0xc57c27d8, 0xb68b88f0, 0xb8160c24, 0x86badba4,
+    0xe2dbb292, 0x682d3739, 0x935e2804, 0x30afabb8, 0xdb09754f, 0x7f0e78f2, 0xaf9acfc5, 0x2c4291cc,
+    0x23618860, 0x9a2fc962, 0x05855c0e, 0x89de80e5, 0xc38637cd, 0xff14b8c1, 0xf58dff1b, 0x791bbb33,
+    0xf22a7e6f, 0x609971d6, 0x098571ff, 0x22a8b23f, 0xd8c86ccb, 0x497bca32, 0xac6f9565, 0x2107dfe4,
+    0xee58d94a, 0xf1b4f002, 0x5e7e0868, 0xf717d9eb, 0x3d69ea46, 0x3459ddde, 0x792f8d1d, 0x430a7ade,
+    0xc6c01277, 0xa355b31b, 0x9d12aa27, 0x7bb8d56e, 0xb7af9e30, 0x04a818e0, 0xc1f8b652, 0xc160a21d,
+    0x978f4122, 0x4c700d3a, 0x7795a989, 0x745512fb, 0xb77a21ea, 0x09853dcb, 0xe87bae8b, 0xc3815aa3,
+    0x83c392ec, 0x900860c7, 0xd02b15e7, 0x551f2b27, 0x164abc3c, 0xfdebfa14, 0x67b9e829, 0xf8989890,
+    0xfeb21358, 0x844172da, 0x3c89da4d, 0x02469786, 0x998d635a, 0x34b88ab9, 0xfdcf248e, 0xc2841b98,
+    0x4ea5fbd5, 0x25aba452, 0xbf54dfc5, 0xa7f63c6f, 0x6ffc6f22, 0xf6411af5, 0x745aec36, 0x3f44f6dd,
+    0x5ed5c899, 0x157ee295, 0x1a7552e7, 0x661a823b, 0xcd5bb2ef, 0xc6d6b620, 0x819a6def, 0xfef68862,
+    0xc22e1576, 0x903a08db, 0xcb1a89e2, 0xd49d1b61, 0x9fcdbaab, 0xb1fbdde2, 0x7719d419, 0x427d0374,
+    0x294e8a1b, 0x33a33218, 0x70477518, 0x37e8523f, 0x9a0cb9be, 0x775f1463, 0xe277dbad, 0xf233785e,
+    0x77639f8c, 0xb47b520e, 0x1bd9b89b, 0x0ae36083, 0x66c4a6b6, 0x3206df63, 0x27c307b6, 0x9be73b3a,
+    0xb06d7167, 0x0ced616e, 0x305355bc, 0xa862c0dc, 0xf2810ae7, 0x1354be89, 0x5e1048dd, 0xfdb928ab,
+    0x4d55c823, 0x9cf9cec7, 0xbb13e2c6, 0x012d7b97, 0xbd6c9fe9, 0x9367e490, 0x7edfa2e1, 0x50e0ea13,
+    0x3e1767ea, 0x7d7a179c, 0x17edbe3f, 0x0fe9bbe9, 0xfae39b65, 0x819c7152, 0xf4305985, 0xe1ce2afa,
+    0x6c6f3491, 0x04a254b8, 0xc274f1e5, 0x8a92a6fc, 0x77a789e6, 0x247dee88, 0xcf726f02, 0x1fdf222d,
+    0x1e3c0640, 0x29b831e3, 0x24af2b84, 0xc880f4d0, 0x121d23d7, 0x067f6802, 0x02914d90, 0x1d617ebf,
+    0x01167073, 0xc82b842b, 0x05060c56, 0x3f108435, 0xd776aaff, 0xcfb59fee, 0x9c6dedc1, 0x145d81cf,
+    0xff88ec68, 0xedaff929, 0xb3c94633, 0xdf59edd3, 0xdce42a36, 0xad91eab1, 0x2a005ed6, 0x0f6842d2,
+    0xf462e8c7, 0x307600e2, 0x58f57d78, 0x069fb8f3, 0x8ad73363, 0x651b13b0, 0xe20e5de0, 0x5ec3bddf,
+    0xe9b80df8, 0x326a6791, 0x41753932, 0x64d64314, 0x3ce7e9ca, 0x381a461a, 0x6760d9a1, 0xe3e20c0f,
+    0xfa35816c, 0x934f596c, 0xa66b97dc, 0x3aceaca0, 0x0963963b, 0x927f3362, 0x849f4472, 0x9dd31fcf,
+    0x0bb1cc87, 0xf0e75bd9, 0x742e789b, 0xbf950619, 0x47491607, 0x6388807f, 0xa3eb39a5, 0x5b4899a2,
+    0xdbd3a27e, 0xc9570800, 0x87400f29, 0x980b4e79, 0xe76d393b, 0x2beb9347, 0xc5f161c4, 0x6e106eb1,
+    0x61c06813, 0xb303a048, 0xdcf2082a, 0xb469e708, 0xedb09fd0, 0xca16c686, 0x8b74cc88, 0xbca23d29,
+    0x62da0f5d, 0xf125ef23, 0x74010668, 0xce1d7bbb, 0xc84a3f4b, 0x6cbc1ab3, 0xac1fd86d, 0x91909f38,
+    0xc4211491, 0xcdc1e49f, 0x5abb26ce, 0xb471b6d3, 0x15cb4da2, 0x694e2cc3, 0xf6df684b, 0x52c972e5,
+    0x3e168747, 0xac086eb9, 0x765491db, 0x98a15e0d, 0xa62dd4e8, 0x084315fc, 0x438ebf6b, 0x00af560c,
+    0xd63ea05c, 0x679e3549, 0x34ada129, 0xa38c565d, 0x19a61d79, 0xf1347862, 0x42abab80, 0xc40b2094,
+    0x888ec74d, 0x4ac24644, 0xd1c55f34, 0x486b3fbc, 0xdb7cd3f9, 0xb74518d5, 0xf93c7ced, 0x56680698,
+    0xb21d4bc9, 0xa9f046ca, 0x9a176e72, 0xb24e1609, 0xa71c6d51, 0xe12409a5, 0xcba424a0, 0xd1c7d075,
+    0x027436e8, 0x4e81ea24, 0xbe15e793, 0xff93c8bd, 0x00db02fa, 0x5431bda1, 0xfad0cf1a, 0xcd18d3d9,
+    0xc5817ceb, 0x727ede80, 0x0f9f5155, 0xf878a8fc, 0xf860c747, 0x214f02ac, 0xcd1f4cbc, 0x814f40c0,
+    0x04fe1e9c, 0x26b858fe, 0xb74c6c85, 0x340ca49e, 0x8c17cf38, 0xde34cffe, 0x7ff35005, 0xd6a37077,
+    0x9a009400, 0xaabacfa3, 0x5401f4e2, 0x0af00232, 0xd495c374, 0xeae346e4, 0x55665bb6, 0x4244e7b9,
+    0x1b18bac2, 0x4c25ac94, 0x64a4a705, 0x0632edf8, 0x481bca31, 0x5d1af53d, 0x88d832da, 0x3dcb69cd,
+    0xbe3b170c, 0xb8cb0480, 0xa9db59cc, 0x550cf7be, 0xe0d9b87f, 0xeccb5be5, 0xa9628e06, 0x56a277e2,
+    0x99ffbb12, 0x4545a653, 0xe58f109a, 0x3d05b8e8, 0xabdbd5c1, 0xecf9256b, 0xb53a0495, 0x06ff826c,
+    0x99069022, 0x4729287d, 0xaa8f7ef3, 0xf9553531, 0x69bc2d4c, 0xd7bf74ca, 0xf9eaa64e, 0xf8592c11,
+    0xe9551da4, 0xda26c7ba, 0xaac2d9a6, 0xbdfc9c75, 0x931951d6, 0x0bd3f3ee, 0xef96a70f, 0xbcec6eae,
+    0x2f4596a7, 0x16b2f3f4, 0xacff4898, 0x4690a8fb, 0xc0057aca, 0x2060aa2b, 0x6509de78, 0x6a071bed,
+    0x767632e6, 0xfb4e97f7, 0x21ae8803, 0x69952c70, 0xf8ac22bf, 0x4978d1f7, 0x48ede6a6, 0xa4b97010,
+    0x2a10c8a4, 0x64f0114d, 0xf3d273fd, 0x0b19d44c, 0xa065c6a2, 0xd1a049c8, 0xe791a85c, 0x41fe4fd6,
+    0x65859b50, 0x8768fc05, 0xe3cfe5c8, 0x012d4079, 0xd4ebcdde, 0xad0c3d73, 0x4b2ae177, 0x4a2f0bdc,
+    0x5f16d973, 0xfb25ba58, 0xb07cc03a, 0xa6a0ff96, 0x44ae8652, 0xf093846b, 0x6ec56829, 0x2b4c7316,
+    0xe49b6bfe, 0xc034a128, 0x4ffb7c98, 0x55466967, 0xcae6c341, 0x21b25733, 0x6dbfe8c1, 0x1f6a8852,
+    0x97ac35b3, 0x6c7f4d5b, 0x68d55239, 0x318599e7, 0x395d0365, 0x9a4a91fb, 0x0800579d, 0x4e3df1a9,
+    0x06f3d6ce, 0xae8dbc64, 0x46e8bf6b, 0xe0916ffa, 0x857f916b, 0x7e76ea6b, 0x293de3a3, 0x012eb45c,
+    0xec5c517a, 0x91649679, 0x4485499e, 0x0f7f0632, 0xfd137361, 0x8dcc39e8, 0x5343ccb6, 0x1f1cb030,
+    0x7c9b9974, 0x29babc1d, 0xe80eee81, 0xb0eeaf9e, 0x3f1aef05, 0x8d78b724, 0x0d86732f, 0xfd1bdfa1,
+    0x9ee93943, 0xa874677d, 0xc757aa8c, 0xe14e68b8, 0x7796f5c8, 0xdb910df6, 0x6a1505a6, 0x48c09c54,
+    0x989f8bf5, 0x4669f059, 0x039b75fd, 0x40a33261, 0xd2f5f42b, 0x777e3170, 0xc9c52dbd, 0x55e0e419,
+    0x6912fc1c, 0x713a7ef1, 0xb0beaaf0, 0xd2dd64b9, 0xdaefda7b, 0xa971b626, 0x004694bb, 0xea54146e,
+    0x673a6474, 0xcd0151ee, 0x409a385c, 0xadf5a44e, 0x878fc619, 0xc40bfa3f, 0xf3e3a6cf, 0x1ddeb57d,
+    0x153c99d5, 0x7f1ce0a8, 0x70efae08, 0xf5b1c7cf, 0xca3cac04, 0xf4cff093, 0xe65f0e10, 0x7dffe025,
+    0x3a6c4437, 0xdc30f672, 0xda35bd04, 0x2dc152b8, 0xb8f157dc, 0xa6251b9e, 0x0208adbc, 0xb6e21ebb,
+    0xdf538b93, 0x15598ce0, 0xbb51c2fc, 0x4edb9ffa, 0xeea7b291, 0x7821c529, 0x011910c0, 0xca8788da,
+    0x4a9b8e0c, 0x150b890d, 0x3740a6e3, 0x965e6b8c, 0xd331a4aa, 0x22f8f2de, 0x2dde9926, 0x86d2ed33,
+    0x9a75b8a4, 0xc2e660d7, 0xf32d3d43, 0xa64a2686, 0x4e855c56, 0xbd75f458, 0xc13d19a3, 0xdecca7bf,
+    0xf102466f, 0xf151c4dc, 0x31b437cd, 0xc0f261cd, 0xe9ab2bbf, 0xf00971fa, 0x809587a9, 0xfac7bd28,
+    0xa5ccaa6c, 0xbe1f85ee, 0x8eb6f7f0, 0x618ab6bf, 0x9fe10bb2, 0xe9cf7461, 0xbb236bb9, 0xc30354a1,
+    0x51d56696, 0xeea57f95, 0xda8c6f6c, 0x69c039d1, 0x6664fd96, 0xb0a843ad, 0xb4cf98cc, 0x1799858e,
+    0x5c4f7a92, 0xe4cc9fb5, 0x45dfa422, 0x37d09d1c, 0xae09f17f, 0xec1f34d2, 0x53cbd8bc, 0x81f4f90d,
+    0xd9892d6b, 0x14158f86, 0x3a976dee, 0x21616878, 0xb42527f3, 0xb4db803a, 0x45f78568, 0x19de2711,
+    0xb950bb9f, 0xaa442cfe, 0x67370c5c, 0x20d7e692, 0x123a1b5a, 0x37999b27, 0xff692a88, 0xa3a20538,
+    0x9d19a77d, 0xc810618c, 0x951b845f, 0xc14b8480, 0x93408bca, 0x14285c8c, 0x393865da, 0xbe8156eb,
+    0x82fcbb60, 0x85b96979, 0xeb910ca2, 0xe7d45823, 0xfd837927, 0xc0054768, 0x819293f8, 0x0c3978d9,
+    0x357de603, 0x5ed2612f, 0x1d519c21, 0x1195af27, 0xa674eb10, 0x28780794, 0x71a7a9f6, 0xfc40b44e,
+    0xa986588e, 0xee7a3d47, 0x1122f79e, 0x17e38b86, 0x7f73d7ee, 0xfdcd2bbe, 0x6e955f41, 0xa0f39415,
+    0x7f4b597c, 0xe6533376, 0xea56a579, 0x7f602f21, 0x9aa19249, 0x36ef7e90, 0xbe2b9e65, 0xf81a7ab5,
+    0xb9e0407f, 0x85dfb3f3, 0x8206d56b, 0x71928820, 0x4dc1dab0, 0x8b7f50cc, 0x3a1248d6, 0x25b75922,
+    0x34e15d3f, 0x4736bb6e, 0xc271845d, 0x235a9003, 0x5fcdb9af, 0xa3fb101e, 0x0399231a, 0x4ccbc1d2,
+    0x27a71b25, 0xb8b9acf5, 0x4855f82a, 0x9ac7bdbb, 0x7b3cc52d, 0x2a2d8bad, 0xf002e6a2, 0x8884d92a,
+    0x6324be98, 0x11f4f29d, 0xc3a5e425, 0xec9f8f89, 0x7c370973, 0x7f433b32, 0xb8908a4b, 0xeb100419,
+    0x7d6b662f, 0x32948846, 0xae528643, 0xfd077152, 0x0ed2f876, 0xc283a89c, 0x36db5564, 0xab1422c6,
+    0x30eb82fb, 0xd6b87b76, 0xbd6f16fb, 0x3236f8c6, 0xfe695514, 0x09277fbf, 0xad8369a8, 0x00832f72,
+    0xb81a3c30, 0x68fba2f0, 0x587aae26, 0xf44b265b, 0xc897dc9e, 0x2867b936, 0xe4cfd1a3, 0xee33ca6c,
+    0x17eee6d2, 0xf754b357, 0x0c4e65b4, 0xd582e11f, 0xe768f4da, 0xa5ca98e6, 0x6588e694, 0xa871be94,
+    0x18453b87, 0x5cc63c7b, 0xef983fbb, 0xeac1b2e6, 0x4664b06f, 0x00020247, 0x1a9c0627, 0x12c2f2c3,
+    0x415e680b, 0x80540b17, 0xb5bc6867, 0x850f21f5, 0x221cda8a, 0x5c17c0c7, 0x4ada62c1, 0x9a3f46bb,
+    0x2fecb765, 0x7858bafd, 0xd8276304, 0xcae242d6, 0x551662e0, 0x5a2e1e25, 0x8e7ce95e, 0x5c91d7cb,
+    0xfcfc4a58, 0xe32a56bb, 0x6eee0746, 0x931be069, 0x5ae8e4e9, 0x93b922a0, 0xc84d62d9, 0xe02fe292,
+    0x7fe35847, 0x8c2859ed, 0x2d531740, 0x692f6e50, 0xb4e79be2, 0x48cc497b, 0x713c8544, 0xe27fc14a,
+    0x19e72ac1, 0x017952c0, 0xd98acab3, 0x8cab0037, 0x546d44e1, 0x68da0630, 0x73e0dfd4, 0x1e8ebdd6,
+    0xd928153e, 0xbfc5dd23, 0x130f044c, 0x37732fb1, 0xda25fa29, 0x95ad764a, 0xb8acbce4, 0x69d22f3d,
+    0x26a9d95e, 0x47dcf090, 0x33003588, 0x4664167f, 0x6c69d149, 0x3a2bc858, 0x23721b1a, 0x8f644bce,
+    0x257ba7c3, 0xba0e8b1a, 0xcbd98071, 0x3523c3bb, 0xfde9efcc, 0xd0b651e1, 0xfc2a7d8a, 0x3644b7d5,
+    0x54c3a068, 0x9d40fe72, 0x79b2562b, 0x4450c61e, 0xa06f0dec, 0x682fa9cb, 0x2902fc54, 0x6f913a55,
+    0xb5446cd4, 0x20054747, 0xd2e3d851, 0x8d673e1e, 0x3e4a06b7, 0x46f1c95a, 0x019b5cf7, 0x12a5a7f0,
+    0x31f70752, 0x4abfc58a, 0x75a64fcf, 0xbf2ab379, 0xe424c5d5, 0x2547f1c7, 0x1d46f101, 0x22995da3,
+    0x8596bfe2, 0x0f14111d, 0xb5df22bc, 0xff2a7ca9, 0xa3308831, 0x39cca90b, 0x0fb37a2a, 0x14ae077b,
+    0xee282fd7, 0x19d6bcca, 0xb2fc4834, 0x5f04cd0f, 0x854a62f5, 0x69347401, 0x1bb0a275, 0xfa78739a,
+    0x489e4c02, 0x1a16c8d8, 0x3305b0d0, 0x0d09413f, 0xb4cde46d, 0x918b16dc, 0x685ed3f4, 0xc2aee9fe,
+    0xac74ea71, 0xbf48b680, 0xe469d7b2, 0xc6a8eb4f, 0x47c50e23, 0x91e329a6, 0x02107831, 0x3e6dc6c1,
+    0x0a649641, 0x42b35709, 0x309a16f0, 0x5791bf74, 0xb1241222, 0xd374e8c6, 0x331d0ebb, 0x67702a13,
+    0xc741e181, 0x467c863e, 0x64171540, 0x9c7da95b, 0xbd9a1e5f, 0x383b2365, 0xd198d939, 0x989a294f,
+    0x86d6c10d, 0x9008365c, 0x560c3b04, 0x9eca463b, 0xcb5bd601, 0xd33c1842, 0x2abb2f84, 0x5373a6d2,
+    0x522f3289, 0x1ee28c1c, 0x61495f58, 0x90b5f98b, 0x35ab79c9, 0x870db022, 0x738fda4e, 0xa65f9523,
+    0x3684ef44, 0xa7ca8cd2, 0xbe854da0, 0xccf2d19f, 0x1e2c4048, 0xd9fb0f6d, 0x88726ba8, 0x8a099702,
+    0x14420090, 0xc38b3f79, 0x966497ad, 0xefc34039, 0xb9c69c99, 0x43f97f69, 0xf048a344, 0x5768b1cf,
+    0x6a87bed6, 0xc5410dcd, 0x1e324e5b, 0xfd55f544, 0x2a251712, 0x42471ef9, 0xb7e5dc00, 0xe0afacee,
+    0x2a8a3f75, 0x5cbd3201, 0x92155853, 0xdd030eaa, 0x99d9387d, 0x06e276d3, 0x7892b669, 0x87a9b47e,
+    0x8547fdbd, 0xe897bbeb, 0x523af180, 0x2975e007, 0xd9164a4d, 0x3b4277ce, 0xbfddd93a, 0xb3aed800,
+    0xb3560ec8, 0xdc0d468b, 0x5fbd5f58, 0xe5a937d4, 0x1f3f8924, 0x4ded1954, 0xd51e2d40, 0x179957e9,
+    0xa627d436, 0x169f9055, 0x7fa11259, 0x39246207, 0xca99c21b, 0xe5e26375, 0x85ed4452, 0x20c42253,
+    0xe21f25ea, 0x708fbf3a, 0x086141f3, 0xbb7b42de, 0x984eb002, 0x2a5f1a2b, 0xad1607b4, 0x38072161,
+    0xc13ee0f4, 0xafcf7e25, 0xb2ba03bf, 0x27cfee5e, 0x4c18993c, 0x8699e100, 0xf00b0caf, 0x7ed8e425,
+    0x5a6d1d4f, 0x9f143961, 0x5898405d, 0x8b27fc89, 0xf8601e32, 0x4b0c42e2, 0xd8bd29dd, 0x0086a49a,
+    0x2336d822, 0x5d82fb82, 0x11ded5da, 0xdf73385d, 0x37658c11, 0x8220fc51, 0xd46fdf09, 0xb0562af7,
+    0xb5f79a77, 0x2d741b7f, 0xea5fcb0d, 0xb14233d2, 0xa64cb1c5, 0xb870d0d2, 0x8e0ee8be, 0x822d4d6a,
+    0xb8b1e68f, 0xcc83dd82, 0x1e7e1634, 0x5c07b775, 0x4e4adab4, 0x97429dd2, 0x91d7cdde, 0x2ff68663,
+    0x6dc13f18, 0x7d8e2358, 0xeeedfd51, 0x3cf16815, 0x2d628987, 0x0a71adf9, 0xe2bb8b30, 0xbb9da95f,
+    0xe9ead5ed, 0xac27ec59, 0xcc35ce4b, 0xf8bb8111, 0xffe7fc83, 0x69bcca6f, 0xd8a0a113, 0xdad9fef8,
+    0x9c74d6a3, 0x9e271ca1, 0x4de5248a, 0xfda589d8, 0x8633f982, 0x8f05679c, 0x6089b6e8, 0x0fbc4ffc,
+    0x862831e1, 0xa7949354, 0x0d1ddd71, 0x44d3bd3a, 0x5839cbe6, 0xc9aa7165, 0x8a349b2d, 0x9243264f,
+    0xaba37535, 0x8ed6f603, 0xdd846cc3, 0xf333adea, 0x455b285c, 0xc87e033f, 0xe9f74753, 0xe129f322,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000011972621413014756705924586149611790497021399392059392 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a4, 0xea807212,
+    0x00000000,
+    0x875e7f4e, 0x3a6d966f, 0x7dbe4065, 0xa6985ecd, 0x4bf59362, 0x6b1a4a88, 0x777bc7c6, 0x30237040,
+    0x55ccb94e, 0x03f1e5c7, 0x482f4c3a, 0xdac12025, 0xe3742125, 0x900f7b55, 0xfe658fe6, 0x1a78a3db,
+    0x04ad8b2e, 0xa6d76e41, 0x96c5e84c, 0x61cc6e08, 0x026b0a6f, 0xee807960, 0xa1615284, 0x39694e74,
+    0x878bcafc, 0xa6c90a31, 0x38faa9a0, 0x50e8c96b, 0xcb01796f, 0x7c03bfa7, 0xd7511bdb, 0x16e4254f,
+    0xb32b9fd1, 0x143c7206, 0xa3103753, 0x93404d4e, 0x4b536535, 0xa1e90886, 0x827b566b, 0x00d7b9c4,
+    0x481e3c3d, 0xffa06070, 0x23dfabfd, 0x265b9513, 0xa7e90f04, 0x74974898, 0x72b84c9a, 0x0955236e,
+    0xcde0fcdd, 0x218fbc17, 0x5fb933b1, 0x853b9fb2, 0x54d48b58, 0x600ecb1c, 0x075958c1, 0x793306b9,
+    0x450572bf, 0x3acc94d0, 0x24289d4c, 0xc688bdaf, 0x2281a08e, 0xfb857cb9, 0x8ceb997f, 0x1b1764ca,
+    0x04a4ffef, 0x3eb40e75, 0x4f1471c6, 0x72b8d3e3, 0xd8cd8057, 0xe56c1dc9, 0xce9d6b4c, 0xe60ad1ed,
+    0x5b9d2e4b, 0x44b15078, 0x345a1b76, 0x8089bd4b, 0x0fe06116, 0x3668b367, 0x70af1a59, 0xe618970a,
+    0xa9dde00c, 0x8223434e, 0x31909f38, 0xb6db6e79, 0x64bc9c82, 0xd54898c9, 0x3c7fa6cf, 0x22f1813d,
+    0x6605f2a7, 0x81db5a9b, 0x2e628c3e, 0xdaeb5082, 0xa96c74c6, 0x7f426850, 0x03c12c6c, 0x602d29da,
+    0xec48eedb, 0xff064baa, 0x2bd05b5b, 0x0eea0ba5, 0xb934aa62, 0x0fa97aa7, 0x59545ce7, 0x23348219,
+    0xa8a807ae, 0x696b3a27, 0x35d8af74, 0x92fb1e24, 0x069058f2, 0xf6e1e3cc, 0x5109899c, 0xce84cae9,
+    0x8b22191f, 0x2d8a2fdd, 0x3092e896, 0xacbf1b39, 0xaa727b2a, 0x32f898ee, 0xc5126933, 0x37bde21f,
+    0xba2abf67, 0x2e38f327, 0x85b28257, 0xf158af11, 0x596592af, 0x50e18044, 0x7243b6e8, 0x46d7794a,
+    0x544ac6f1, 0xe68577c2, 0x9ec881f2, 0x6fc1cf3c, 0x2bd0ca2b, 0x4f491116, 0xaa9252e5, 0x05d8a01a,
+    0xd1fc4bbe, 0x37c70545, 0x5e9da310, 0xdad1fe2b, 0x7c7f0ef7, 0xf846765a, 0xf6e45ba8, 0xb8396632,
+    0x3f4c8650, 0xe25778b2, 0x4e79303d, 0x4c0c50e9, 0xe4a39258, 0x6420441c, 0x25e4b8bc, 0xc7fcf1da,
+    0x426c6975, 0x4e4dfb31, 0x4740b90d, 0x912d73b2, 0x19766d5d, 0x27c4b95b, 0x4e8fae93, 0x816eb1d1,
+    0xfd7dd102, 0x992fc178, 0x669d5a83, 0xe16d514c, 0x0fa557a8, 0x9b5c44f3, 0xe1ba1988, 0x450cf50d,
+    0x0151641a, 0x86939583, 0x33547505, 0x780ac5a5, 0x33d0c427, 0x5bad57e4, 0xe6011edd, 0x92ee50bc,
+    0xbd9c960d, 0x50bffd51, 0x787744d2, 0x87e4016c, 0xfa3802a1, 0x9b96a012, 0x1643bf0a, 0x066bf369,
+    0xf594623e, 0xc428c87f, 0x10c62335, 0x5ab63f5a, 0x4f518b3c, 0x19acfcb4, 0xcb6c7fa2, 0x81d693f6,
+    0xb68cb50d, 0x771796ee, 0x05325795, 0x1df52a40, 0x99d879da, 0x59e64072, 0x97f30861, 0xc91c4208,
+    0x40a88cfe, 0x019984c7, 0x737180df, 0xca500501, 0x24f029c8, 0x1ba077e1, 0x4d352794, 0x783f1e9e,
+    0x29877482, 0x456a0ae4, 0x78c29f2e, 0xb7e2c9f1, 0x3ad01086, 0xc8415025, 0xe59e00d9, 0x23baef28,
+    0xd4d4be61, 0x42ba6a62, 0x9d9d5965, 0xe1ca4709, 0xfd0d4898, 0x040b64f9, 0xbe954b8d, 0x84e6b88d,
+    0xa6deab22, 0x6d2f3efa, 0x7b56f8c4, 0x3f66b09c, 0x2bfbcef5, 0xf3f10209, 0xd5040a21, 0x557f5a86,
+    0x495df567, 0x870636c4, 0x434cbad8, 0x3ac2b73c, 0xc3be7dac, 0x589b8b48, 0x86dba67d, 0x36af52a2,
+    0x3c9650ab, 0x0504323f, 0xda824e2e, 0xeb70d1c5, 0x0c79dd10, 0xfc712eea, 0xe2a4cbbe, 0xd4f50e7a,
+    0xb7f51bf4, 0x81e542f3, 0x407c04f8, 0xcf839402, 0x694779d6, 0x5c6a6fea, 0x1330b4df, 0x87a7af9e,
+    0x1e554c38, 0x8cf3c39a, 0x17610533, 0x322dc390, 0xd8bb9548, 0x944f5f26, 0xbd45057d, 0x337cc9c1,
+    0x67c6449e, 0xccd871fd, 0x55bb2112, 0x9c2fe2c0, 0xe360c22c, 0x8b3512c4, 0x1b69cb9c, 0xa6b53f7d,
+    0x5cfae367, 0xeba6ff7a, 0x2dde9fcc, 0xd643d032, 0x0fad2eb4, 0xc144961f, 0x44e594d9, 0xe8b476c9,
+    0x31a57d71, 0x012e7bc4, 0x8a2cb231, 0x33ece7d5, 0x1aad1df4, 0xeddc4243, 0x61124db1, 0x840ad8b6,
+    0x331f49ee, 0xb2682e99, 0x48866285, 0xc058b613, 0xd41a579f, 0xb760d0bb, 0x47a34c3c, 0xbc0dcd5d,
+    0x29a354af, 0xedf5ffff, 0xa62c3dd2, 0x7d3c7b3b, 0x976c5740, 0x08bc15d3, 0xf3196516, 0x12d307c2,
+    0x3b494335, 0x66a6b683, 0x9ce562d5, 0xd72a733f, 0x54e2b297, 0x769d4756, 0x0e754a1b, 0x3ca9a46e,
+    0xf567e1e3, 0x319064cb, 0xb213890a, 0x38f81ab6, 0xd724c47e, 0x7753a9bd, 0x5b98fc4f, 0xc348f613,
+    0x06476ecd, 0x4e2afab7, 0x149df715, 0xbf72ae73, 0x7003edb0, 0xa36f9097, 0xfc7c7564, 0xd76cfdcc,
+    0x1aaa93fd, 0x0b31aebb, 0x7ea61210, 0x9085aecc, 0x7919f327, 0x90ff8323, 0x5d40cf69, 0x9cf6c765,
+    0x5c7fbabd, 0x2e76d55a, 0x0601e780, 0x91ccb233, 0x2242178e, 0x12c9a12e, 0xc61c72c7, 0x00496fb1,
+    0x1f9af7a5, 0x150b04c5, 0x68f5d517, 0x77022778, 0x95dc8baa, 0x09f8b385, 0x77e19627, 0x47bd0c5a,
+    0xc4fe2adb, 0xcbd8ed94, 0x36b5ad3a, 0xfa2ceede, 0x555066d8, 0x0a2d1b15, 0x326521cd, 0x2607c320,
+    0x411abba7, 0x839b3c2c, 0x3926ba13, 0xd68f7c0c, 0xb4474fcf, 0x4092c225, 0x6a111cf9, 0x555ba646,
+    0x765312bf, 0x27ce65c6, 0x713d4057, 0x5826de88, 0xbff098b2, 0x2cd219ae, 0x256e5b99, 0xed241ded,
+    0x0fe5cd0a, 0x10f77409, 0x1ab56edd, 0x0aca4e4a, 0xc7edf20c, 0xaf148a55, 0x79f2bd08, 0x81c48e1c,
+    0x6e72aafb, 0x3dff11a2, 0xac6ff942, 0x432e66de, 0x9c280524, 0x941f79f0, 0xb4441d12, 0x5b139cc1,
+    0x2528aa6b, 0x10df324b, 0xe52823f7, 0x6ad35dbc, 0xab74ad8f, 0x1058d466, 0x3936fab8, 0xc3735268,
+    0xb8f7933f, 0x578c96e1, 0x488359fa, 0x8ffe32c6, 0xec8b28ab, 0xdcae22b0, 0x1ea1e9c8, 0x3df81934,
+    0x86770abf, 0x9ee85d0f, 0x7f1431d7, 0xe6288d0c, 0xdff09d94, 0x00dc1733, 0xac7ce8a5, 0x2bfb8076,
+    0x7ebdf511, 0x1da45751, 0xfebc4c6a, 0xed919a68, 0x129c3869, 0x8fca2304, 0xe7436788, 0x04e4fb37,
+    0x5fd4a4ed, 0x30118514, 0xfacd26fb, 0x7db9b665, 0x0a3524fd, 0xf48a14f7, 0x671a2ed5, 0x3b40578a,
+    0xaaff4a8a, 0x0b4da643, 0x97cde2d1, 0x399cf3d9, 0x7215885b, 0x8f009103, 0x124f72b1, 0xb1bebcd8,
+    0xbef7b7a3, 0xe545d68d, 0x3b12867e, 0x22769f0a, 0x930a2008, 0xfc5588b3, 0x35410b61, 0x91ccbfb2,
+    0x69d3307d, 0x9b505cc1, 0x60bde925, 0x54c6eb38, 0x967968ac, 0x3c0c3b7b, 0x34c28bf9, 0x7a92871d,
+    0x2228fa1b, 0xb9ba6461, 0x3044786c, 0x0756d4a4, 0xcdf71fc8, 0x92f114fe, 0xd3c6cfc0, 0x2c676333,
+    0x1d13591c, 0x6a9bae92, 0xa40214ea, 0x2b3297cc, 0x31898dbd, 0xabfabb6e, 0x844d2e3f, 0x13cdce3d,
+    0xb4bd623e, 0x6f4d11f0, 0xfe789619, 0x53e5f129, 0xda76305e, 0x8772f8f1, 0xae4526f5, 0x7593151f,
+    0xbb8a1793, 0xdf2a8ab2, 0xabafba58, 0xe8bf0e6e, 0x5fd3dfc1, 0x506b62ed, 0x1114427a, 0x9bbf28db,
+    0x8dfe5912, 0x9035234b, 0xd1e4874b, 0xb9433724, 0x2931ef31, 0xbe2ebd52, 0x6ae29233, 0xff522170,
+    0x5b37f335, 0x305996af, 0xebd27a93, 0x3fecc70f, 0x0be4a050, 0x4426e2d5, 0xc4d51b5e, 0xa9c75047,
+    0x7267117f, 0x627735e3, 0x97deba44, 0xe64164af, 0xe167830f, 0xfb15edfa, 0xbda358e0, 0xe9068154,
+    0x8eea4cdf, 0xde8eb88b, 0x4e84f8a3, 0x0cf01da3, 0x96e8ee2e, 0xbdac4c15, 0xcb8ac4e0, 0x5b5679a2,
+    0x8edb741f, 0xcc934e8f, 0x2ddae7dd, 0x17633f48, 0xa0de9054, 0x82a825f7, 0xe5656700, 0xead7dc85,
+    0xf30a1d24, 0x9eead91f, 0x16638e9f, 0xf2cb3f1d, 0xcf4e08d2, 0x691548c2, 0x59d1279d, 0x397ca177,
+    0xbc60b910, 0x6328a8b6, 0xd0ec267c, 0x8182d41a, 0xd90bf721, 0x09535c93, 0x54316d1e, 0xc750adef,
+    0xe07bf2b8, 0xba398acc, 0xa65830c4, 0xcf5310b7, 0x4c486df7, 0xc6abc955, 0x98cd1084, 0xce0bfc78,
+    0x7b0104e4, 0xbc9ac406, 0x767c233e, 0xa96cd488, 0xd452506d, 0x3ac07259, 0x002012dc, 0x2a17cdb0,
+    0x60e0f767, 0x615b4bac, 0x0092938b, 0x4d01d414, 0x9aa81698, 0x49aced21, 0x9a05a7fa, 0x4689cf21,
+    0x740ca675, 0xb9bbcbb3, 0xb49b93e0, 0x3ce5c637, 0x27f2d3de, 0xf91c9308, 0xf01ba125, 0x5f27c968,
+    0x109d2d83, 0x870266f9, 0xd2be84f3, 0xfb012fe1, 0xa36f25b2, 0xaeb7ff5b, 0x340af1f9, 0x976022c7,
+    0xdd374cf2, 0x356ca6ac, 0x06bf1530, 0x80fdd2b9, 0x87e4a637, 0x75290ee1, 0x766a1be3, 0xcb4bd265,
+    0xfd61dd27, 0xff3fa2a8, 0x5686c32a, 0x3e956ba9, 0xe1949394, 0x47509f92, 0xc4b7adfa, 0x3f90e79c,
+    0x8629cbc0, 0x52bb3665, 0x47e38552, 0x5c44054f, 0xf1450384, 0xcd33142f, 0xf61814d0, 0xf087ef73,
+    0x1a2a7497, 0xeaeec363, 0xf85c0408, 0x2a3222a7, 0x74dde906, 0x30f8f119, 0xd144b368, 0xdc9f8ff2,
+    0x9f1c9bcb, 0x47d24c62, 0x4eb5e295, 0xb17a7856, 0xa7c953eb, 0xf51c9595, 0x688305e1, 0xadaa1fd8,
+    0xb8df2e61, 0x73956918, 0xa4638e64, 0x3a2601a3, 0x33a1f215, 0xbb0e118c, 0x900eacce, 0x2cabcccb,
+    0x38585638, 0x1080d5a4, 0x46ca10d0, 0xb69218af, 0x2484c7da, 0x2356bb61, 0x47d6f77a, 0xa939cd0a,
+    0x6184c27c, 0xae752a80, 0x53ac2c69, 0x96cf9c6d, 0x0fc34092, 0xe7dde3f3, 0xd18bdb23, 0xec15cc5f,
+    0xe73cebe9, 0x4a128c40, 0x406f1e72, 0x163f6acf, 0xc7a0fe20, 0x0c4697a4, 0xc61b1d70, 0x6aa2d157,
+    0x6ac358a1, 0xe860c333, 0xafefb367, 0x0555bb63, 0x2b73908b, 0xe1c3c3e2, 0x2acd1f47, 0xf008d22c,
+    0x8f5a9798, 0x385be09a, 0xb5da8723, 0xa8f74e70, 0x11ced6ab, 0x28b30352, 0x82fa1dc1, 0x65540dea,
+    0x8eb4f0f0, 0x2d8031d4, 0xf72665dc, 0xb4d5ba0b, 0x22025728, 0xcf1acd70, 0x12c2ed93, 0x013e6986,
+    0x2f1300be, 0xdd80744b, 0x77d42677, 0x35d31463, 0x66e64128, 0x4817959e, 0xd673758a, 0xc233b892,
+    0xf7c6e40c, 0x0cf8e141, 0x0bd8fafc, 0x04aae048, 0xf78ce131, 0xa9a7f5b1, 0xcfaabe33, 0xd543adf4,
+    0x2c2b85be, 0xc0b38780, 0x66281660, 0xd84e0fe9, 0xd7c52167, 0x3515ef84, 0xa4df9ea9, 0xcb3c64d5,
+    0x4e9a029f, 0xcb770743, 0xa4a6ada6, 0xdd280ae6, 0xada7894b, 0x4e380332, 0xfc50a3a3, 0xbbbcb6be,
+    0x1ee09da5, 0x8ed064d4, 0x3ad35ea1, 0xfc680af9, 0x24e5294b, 0x4f2ef82f, 0x837bc207, 0xa06cb355,
+    0x7cac1a2d, 0x9c5e2eb4, 0xaff1d569, 0x002d9308, 0x6d6c1ff1, 0x3c6e2e13, 0x9cf4b5eb, 0x4ad6a54d,
+    0xe4174eb0, 0x9c16a85d, 0xa1c2061a, 0x8a94a030, 0x005c737f, 0xdb13ddfa, 0x268f5cdc, 0xc7897ba7,
+    0x19653a9b, 0xcc8742f1, 0x1dbae4bc, 0xc2f0a9e9, 0xdb5dac48, 0x4f5dd6a2, 0x96bd9088, 0x38b3228d,
+    0x735509c2, 0xe22b2236, 0xa65ca36c, 0x4eab78e1, 0xfc08182d, 0xbd80bc56, 0x55f27d2b, 0x3b43ad8d,
+    0xc209c477, 0x349a907d, 0x6b13142a, 0xae3fce53, 0x2d71cca4, 0xd12f7baa, 0x65f133b1, 0x280aa21f,
+    0xa53be510, 0xdc417ea9, 0x4ad98a85, 0x31730db6, 0xcf22177a, 0x42a2e5df, 0xe86109c1, 0x35d3bfc0,
+    0x39db408a, 0x25e6f776, 0xc90a7d80, 0xf27a00b5, 0x3709569d, 0x9fa17c6c, 0x1ef8489f, 0x5e0cdbcf,
+    0x40ef054c, 0xe75e0bd2, 0x4a6759e1, 0xee6f69bb, 0x650c1b4d, 0x2f6c332b, 0x419262c2, 0xfd5db908,
+    0x7680153f, 0x1d810296, 0x4f9e8049, 0x79175c67, 0x080fca6d, 0x8184d6ab, 0x8be67d64, 0xeac90731,
+    0x43528483, 0x68397770, 0x3149beff, 0xfe229f06, 0x29a95aa0, 0xd2d7ffc1, 0x8d4af684, 0x58e349cf,
+    0x02f52858, 0xa4395add, 0xea14a8da, 0x9e007173, 0x48dbfcc1, 0xf44d7973, 0x832d5ae4, 0x8c4284fe,
+    0xec1b02ef, 0x655c06d6, 0xefee9049, 0x57f78134, 0x66e5eab4, 0xb45eab59, 0x59779d09, 0x78465f04,
+    0x9d622450, 0xf0d70f7b, 0xc091f44d, 0xc4b8b222, 0x23f5380e, 0xe5fca6d9, 0xf6013d5f, 0xef3f2aac,
+    0x138d1455, 0x9fdbf4e6, 0xd1fbb5c8, 0x3b17e8cb, 0xd9f32db1, 0xfc80a0e7, 0xaf96a8da, 0x351c3ab8,
+    0x73b9f1af, 0xfcd52b2a, 0x819a89c1, 0x2a475ada, 0x014a1671, 0x17413f56, 0xb59b0c2b, 0x0dead64c,
+    0x2f20e4cd, 0x6775dcb3, 0xa6d06bfd, 0x5913f10a, 0xd44f1cff, 0xb9a87940, 0xf6eb134c, 0x3f4cd867,
+    0x094c1cf2, 0x93d42400, 0x25169ec9, 0xa26f5a7b, 0xc9716ac3, 0xed392543, 0x5338e3e4, 0x85cb9d99,
+    0x16afeaa1, 0x9832cc3d, 0xbb6d2b9d, 0x41e5983f, 0x8e3a5bd9, 0xffaa6298, 0x41908370, 0x163a253f,
+    0x1685ceb3, 0x6eb70370, 0xeec6275a, 0x0a6a1e7d, 0xe5c17c5b, 0xdf39c3f8, 0xcbba0fd2, 0x7a818df3,
+    0xd0613799, 0x22db1a9f, 0x84ebe859, 0xd3eac2cc, 0x5e483242, 0x9874e084, 0x6c97a08f, 0x44b39af0,
+    0x4694239a, 0x34e50abc, 0x36d87384, 0x2ca3a531, 0x80c5e743, 0x2224e9e2, 0x8bec02b8, 0x66cafd23,
+    0xdf94127d, 0xa342a16b, 0x2f82ddba, 0x650b9d66, 0xdbc6901a, 0x2ce36e1f, 0x533a5fe4, 0x83757eab,
+    0x5a6a4cc6, 0x0504f7f8, 0x4a093f51, 0x0ede6eff, 0xb9ba7880, 0x300a3962, 0x09081ce8, 0xf0910db6,
+    0x11923046, 0x22ac1f64, 0x90366813, 0x8d56132b, 0xb5da37e8, 0xb90f682e, 0x68de33a3, 0x462ac0e1,
+    0xc65b3a87, 0x0588d845, 0x230c7635, 0x526ecb41, 0x12d86493, 0x7c2ac3e7, 0xb9973503, 0x36a63bda,
+    0xa2ef18db, 0x87ab20fb, 0x2d22aeb6, 0x1d5b8533, 0x0f3301d7, 0xf28e89b8, 0x6ceb3696, 0xf8b98305,
+    0x1f925c9b, 0xba7dbecf, 0x6563b026, 0xc43ccf7d, 0x863bcac0, 0x560eb618, 0xa5ee47a9, 0x628a2c7c,
+    0x8027d4d3, 0x02a1b4d4, 0x6727357e, 0x99555ba5, 0x0581b3e4, 0x45f3ce58, 0x8db8736b, 0x41e03e33,
+    0x89f45fb9, 0x2459d6ac, 0x846c09fa, 0x4194d321, 0xfc5f99d1, 0x29aa82ac, 0x1385903a, 0xb7fef162,
+    0x35cd060d, 0x3a545fb6, 0x296b2622, 0x8712dc2e, 0xe3554077, 0xc134c452, 0x8a867fd7, 0xe9b1fa02,
+    0xf8e72f4e, 0x32c1fc93, 0xb711273a, 0x19525871, 0x227a5e6e, 0x248aede1, 0xa5cb69e7, 0x5dbc7b79,
+    0xbf5fca56, 0x315a1561, 0x7a552732, 0xefad34fe, 0x64106b76, 0x3cb73eb7, 0x3a6e215d, 0x2c7f33da,
+    0x7e226611, 0x1ca8c9cd, 0x209d2118, 0xd3891960, 0xd2b9f3bb, 0x77ef5a2e, 0xc7ec1d1f, 0x27277d55,
+    0x56481f2f, 0x46e509fd, 0x0c235e52, 0xe8b304e5, 0x903ecc97, 0x37ffc3bc, 0x88bdfe48, 0x1f4548be,
+    0x82379a68, 0xde248198, 0x678ec068, 0x03add9fe, 0xd3767b0c, 0x7a770311, 0x8ae2b96d, 0x41029895,
+    0x2d484bcd, 0x82323dc0, 0xa7430b79, 0xf8f038e0, 0xbab10a71, 0x169a79fd, 0x71d57ec4, 0x32929f89,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000005986310706507378352962293074805895248510699696029696 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d2, 0x75403908,
+    0x00000000,
+    0xba283d3b, 0xe5348cea, 0xa3aa2ac9, 0x3a9fac5d, 0x09a19d4d, 0x5b7f04c1, 0x2b72cee4, 0x51e7aa0c,
+    0x8bb03642, 0xff4fcf76, 0xac891d7c, 0xf23ffc0b, 0x3ee9bb55, 0x24edf897, 0xcf901bd0, 0x5b5b2fa2,
+    0xdb628fc3, 0x620173cf, 0x79e567e8, 0x40a962d6, 0xa5c73117, 0x771cb8e4, 0xb23c2d52, 0x3921314d,
+    0xd77139f8, 0x351f2dc8, 0x20ac5036, 0x5208b56b, 0x8fb110a4, 0x5f8b20e9, 0x55ff0c47, 0x7cf2faf8,
+    0x1adf3081, 0x164c81e6, 0x4d69f436, 0x4aae0c4c, 0xf7c60f03, 0x5c936467, 0x7910466e, 0x879544fc,
+    0xb5ddbf12, 0x3dc1737f, 0xc950aeee, 0x80140549, 0xcf1eb6e8, 0xaf4a13e5, 0x45b699b3, 0xeda537fd,
+    0xc5053939, 0x7079a6fe, 0x62b76f36, 0xd4323816, 0xed689c99, 0x7955e044, 0xfa2e96ad, 0x1df54f36,
+    0x55d774ae, 0xb963f384, 0x2269e643, 0xb363fa7d, 0xcbf382a0, 0xf7c8f85e, 0x5cfde568, 0x392350f5,
+    0xc0238c2e, 0x18f40c34, 0x5e9d13db, 0x199a6964, 0xe234f8ba, 0x67a04af4, 0x5e0123ee, 0x7984bbbe,
+    0xcf950a51, 0x87719226, 0x9aef762d, 0xb2a5456b, 0x40c10c43, 0xee57cdb7, 0x612f3453, 0x626edec2,
+    0x01713a89, 0x19502784, 0x82807d07, 0xf3d8c99e, 0xd74072ee, 0xe21702f3, 0x4d53f37a, 0xec9fb77c,
+    0xf5510606, 0x8dcf950e, 0x6615ee52, 0xb807f675, 0xe11fefff, 0x5734c0fd, 0x7e1e280e, 0x24e19c55,
+    0x84851cd9, 0x3d423c50, 0x19f8910b, 0xebc15c63, 0x8af60c80, 0x5bbd61f0, 0x72c66f31, 0xb313e918,
+    0x088513fe, 0x04d4401f, 0x674fb7b6, 0x53b0b72d, 0x89d0e954, 0x05a24694, 0xecb2e766, 0xa5f1c4a9,
+    0x0ff0ddf5, 0xb3e4a431, 0x16b4492b, 0x9595b268, 0x49f2902b, 0x24361570, 0xcaf09b17, 0x5a52d323,
+    0x9b4964bc, 0x8ba7651c, 0x41f4bc47, 0xd0fb7c33, 0x5c7a8ab8, 0x3953ddad, 0xdad245ec, 0xf82fa423,
+    0xfbb5b601, 0xc4b25bc8, 0xe01f83ca, 0xe3334a8a, 0x3dd8968a, 0x5af10ba6, 0x4993184d, 0x3fe8da4e,
+    0xf1307678, 0x7124b8e7, 0xd03ddb83, 0xb8bc5993, 0x3c861bc2, 0x6faa21e4, 0x31879c0a, 0x80ddb466,
+    0x61f307a4, 0xa58d3689, 0x88ac6796, 0x024e1fe9, 0xf890db9c, 0x3f0d2487, 0x5907f836, 0x203bc9a1,
+    0xf14cada0, 0x08aa89f7, 0x8584154d, 0x3f07ade4, 0x7651003c, 0x804fa1a8, 0xa48721d8, 0x0b636070,
+    0x6ac26173, 0xadd078f9, 0x30440b6c, 0xbfe5027a, 0x853b10bc, 0x465e3b9b, 0xde76fa85, 0xf09b6c46,
+    0xd8a79860, 0x30bda081, 0x4a7760d7, 0x2e3fb98b, 0x2d1391d1, 0xf0f84486, 0x4249c162, 0xd228a3e1,
+    0x19bbb1a3, 0x727a56e9, 0xf44fe363, 0xe8aea018, 0xe1f1eb5d, 0xbafc3397, 0x637fe482, 0x0d5eab43,
+    0x9c30adb2, 0x11f4d404, 0x1b482c25, 0x71959ddf, 0x5a196a6f, 0xb131261d, 0x01e3b041, 0xb03add49,
+    0xedd5b390, 0x53a61d10, 0xef61f125, 0xf265e20c, 0x42ea8d52, 0xcabaca27, 0x81c932ce, 0xbf7bd72d,
+    0x605f759c, 0x99a0deff, 0x29f99ff0, 0x2e5aae55, 0xf359cde9, 0x0bb07f10, 0x9024b79f, 0x9a4f75b8,
+    0x2099e208, 0x2a9b92af, 0x7dd45e89, 0x93c16685, 0xb82767c0, 0x15e6584f, 0x1cc4dc79, 0xd7dcec56,
+    0xac846ada, 0x549feef1, 0xa1d42c09, 0xfec3e5d6, 0x312076cc, 0xa1df8c3f, 0xebc4f5c2, 0x49985d4a,
+    0xc33c3041, 0x875fbca3, 0x7344bb36, 0x2faa9993, 0x78054f65, 0x2e8ffe68, 0x7b9e8eda, 0x074fb025,
+    0x9338f0a7, 0xe5c6c11b, 0xdef5bdbe, 0x3101a6e5, 0x221da5ab, 0x84f01649, 0xea25b416, 0x34704a60,
+    0x35e588f1, 0x4265ed96, 0xc012d805, 0x40322a0f, 0x215cb5a1, 0x81e38d78, 0x5018a128, 0x2582b388,
+    0x0cf5c8ba, 0xf30d35cc, 0x356c0494, 0x74e35963, 0xaeac7de5, 0x0949d9d5, 0x1e43af9e, 0xc2b01f52,
+    0xfab16665, 0xd543f377, 0xe0da4906, 0xea9e9a9a, 0x599fb668, 0x060488b7, 0x292fc21f, 0x7257b61e,
+    0xe39c66d6, 0x7e256465, 0x3c9102c1, 0x66c0f7b0, 0xf3bad13f, 0x7799bf85, 0x61c95ad3, 0xc80b0c25,
+    0x668fe645, 0x207b9146, 0xf72acfeb, 0xe2234f5c, 0x1fb112bb, 0x1fe281df, 0x0b1c454a, 0x6c38f055,
+    0x1870f00c, 0xa7995d0f, 0x03622f28, 0x2391591d, 0xb2fed76a, 0x1bbc8046, 0x17407ae5, 0x07eee008,
+    0xe75a1edf, 0xb46b383e, 0xfd84653f, 0x741be845, 0x47118149, 0xa41828f8, 0x2a230c62, 0xe25263a2,
+    0x2473f715, 0x8cd98f9f, 0x64df6670, 0x5e4282c6, 0xaf7281c2, 0x4e338d9d, 0xceb1f4bd, 0xf01f2959,
+    0xcd133aea, 0x2b68dca3, 0x52bca05d, 0xde05c30b, 0x007fd9ba, 0x990abe4c, 0x0531c395, 0xa400fd41,
+    0x1c0fe759, 0x7e05ed7f, 0xb56a6794, 0xf56c5dda, 0x001ed619, 0xeda447e4, 0x24f3c0de, 0x30111f95,
+    0x207ba395, 0xd51aa2b5, 0xab23d893, 0x764ad4f1, 0x95b06e67, 0x877ec5b4, 0x85f29d41, 0xf604021f,
+    0x65de2e14, 0x4eac38ac, 0xcd7539ac, 0x180bd680, 0x1b32d333, 0xe4614067, 0x3598bf2e, 0x7e21390c,
+    0x71c34c98, 0x97edcba2, 0x1dde5fa7, 0x2ac6e5b6, 0x3d7f0389, 0xbff2cf7b, 0xd1517eb0, 0x2151e11c,
+    0x41d24056, 0xd4240a33, 0x1272e56d, 0xfe06d5d9, 0x12024168, 0xd555ff4c, 0x944a887f, 0x9774a601,
+    0x0b469727, 0xe80afde6, 0xab68bd87, 0x1ac9113b, 0xe7281545, 0x96611724, 0xd0a7498a, 0x05af108d,
+    0xb3664faf, 0x4298e2de, 0xf88e9229, 0xa3c0cc16, 0x7c629d46, 0xcbdfe6c0, 0xa04ea943, 0xfb868c19,
+    0x53853854, 0x496e67a4, 0xd2911c6b, 0xcccba18f, 0x822990a5, 0xfcd2ffda, 0xb5ac0749, 0xce3ef046,
+    0x94ca77cf, 0x874d898f, 0xf5edd0a4, 0x81edb57e, 0x537452a7, 0xfbf996f2, 0x55946c02, 0x8cb58c3c,
+    0x57c089c3, 0x62855f85, 0xd3141161, 0xc412ac02, 0xda31c000, 0x9963df68, 0xde21ab35, 0x3ecbecab,
+    0xea4a0c06, 0xb3384f16, 0xbcc3ed8e, 0x6806fe52, 0x61f8ef3a, 0xb2f8aef7, 0x13a3b2f5, 0x047dace8,
+    0x639183d8, 0x92f12a7f, 0x6b9f48ac, 0x82b80737, 0x4160f1fe, 0xd8e9e2ce, 0x9f6ab4f9, 0xdba70a69,
+    0x7af00ef0, 0x6f466179, 0x1a5ae63d, 0x64d1e7d0, 0xe6530381, 0x96e47910, 0xbd46fcc3, 0x615a388c,
+    0x01cb2b47, 0xe5ea6dc3, 0x427f120a, 0x16403e95, 0x6ea480a9, 0x4e2cdbf7, 0x9d0b5bcc, 0x640fdb44,
+    0x24b85e17, 0x8017646d, 0x3af506ef, 0xb1a20497, 0xc681f273, 0x7f6fbf9d, 0xa29cf89d, 0x860e0fff,
+    0x8e116159, 0x9d8a8caf, 0xabe5b42c, 0x22037c4e, 0x014068f1, 0x5491202b, 0xfb8e26e5, 0x1710136f,
+    0x824391d5, 0xef6247d1, 0xac939144, 0x413b821f, 0xec4510b2, 0x955ba796, 0x81804e57, 0xaa387cbd,
+    0x6f240402, 0x4a1681d0, 0x4eb2043a, 0x4b957859, 0x38b84abc, 0x3d993ca8, 0x7b417a96, 0x1f12ab54,
+    0xe5ad0c5d, 0x5848b68c, 0x21f49480, 0x2217f381, 0x0e452061, 0x9484d78e, 0xc31282cd, 0x0346cdc5,
+    0xe4719804, 0xcedc5309, 0xdfbf4df4, 0xc1ea8228, 0x5c5d80ad, 0xd27b21db, 0x44e0a4ba, 0xe8c899d6,
+    0x27f55727, 0xc77a3a54, 0x2ae6d048, 0x4a8a77e3, 0xc69108a9, 0x08b3f7ed, 0x24dc0a3c, 0x5aee863a,
+    0x3b218205, 0xe38da03c, 0xfcfdae3b, 0x11e3583e, 0xc611a32d, 0x1dd41c59, 0x97feec23, 0x917ff38f,
+    0x8fa2379f, 0xcd6f1370, 0x9c7f54b8, 0x39a2f6ad, 0xc2b7394b, 0xc130b85f, 0xcf37f7c6, 0x3dc0e710,
+    0xbd0490a5, 0x4aa55041, 0xa555361b, 0xa41f1e2e, 0xc5b68fa9, 0x805f0967, 0x2156498a, 0x3e98e93f,
+    0x1cfbae8b, 0xda0131b5, 0x47034c86, 0xef6ea10a, 0xabeeffba, 0xe4a8bdbc, 0x7d427295, 0x78da62eb,
+    0x34751110, 0x5a9aa9db, 0xf7a28dc0, 0xe67b6f5d, 0x95ba77d5, 0xb907e877, 0x7b24b8a1, 0x5ab1e13f,
+    0xa155ddb3, 0x9713753d, 0xd49fac7e, 0x34c28b97, 0x3938e819, 0x5dd35264, 0x19c9d4ca, 0x0049930a,
+    0x1e25b71e, 0x1054ef65, 0xb6883047, 0x2b3c0935, 0x1aa27791, 0xc9447c69, 0x5de5e8c0, 0xbc65df93,
+    0xa96048f5, 0x7d954f48, 0x88391939, 0x3e18f748, 0xae6117a7, 0x54301d8c, 0xee0a0eac, 0xbf687549,
+    0x3bb7c52b, 0xa5ef94ce, 0x49bfb024, 0x9446f751, 0x1aa40590, 0xfeadabbd, 0x4e3beffb, 0xbfc69563,
+    0x37030c09, 0x24a4ea9f, 0x49354190, 0x9fbd376c, 0xfea76e56, 0xd6205068, 0xe86fb5da, 0x4406ec84,
+    0x606d9fcc, 0xde1c2d05, 0x26031e92, 0xadc61532, 0xb2f92ec5, 0xc8034286, 0xf65f4b0b, 0xd39a9c24,
+    0xacaf2479, 0x6002d5ca, 0x0f157be0, 0xc276c434, 0x528b59be, 0xe9ec8fa6, 0x16690d61, 0x19be6c26,
+    0x7b94a95c, 0xb713d136, 0x58b3aefb, 0xcafa6167, 0x6d9d8947, 0x0467cab8, 0xf6b55bcb, 0xacee2bc2,
+    0xee5efb80, 0xe9c1d191, 0xf255fce2, 0xa8004465, 0xbc2f7ca7, 0xd28b1b65, 0xa06afab2, 0x4bc58497,
+    0x69db85ea, 0xc610136e, 0xdd87c2ee, 0x46f39904, 0x7fe1d644, 0xdee59e52, 0x6f48ee14, 0xd49d79e1,
+    0x8a835a92, 0xb568f2ef, 0x5c21c233, 0x2d38066a, 0x760ca27b, 0x72279671, 0xc5922f2a, 0xb1d85193,
+    0x2d039a41, 0x5546194b, 0x89f3a638, 0x102e20a8, 0x827f2894, 0x22d8c4ca, 0x405aa9ac, 0xc07e24d7,
+    0x1896423a, 0xd96d36c1, 0xa944bcef, 0x73a1bc38, 0xd7fd136a, 0xe8d93a66, 0x82d0ed16, 0x952717e4,
+    0x34c86e7e, 0x675263f2, 0xbeb54125, 0xc2fa5e21, 0x7bbfaf79, 0x1b612ac7, 0x690c46f0, 0xae19acd5,
+    0x9e4a4431, 0xd5250d7d, 0x5ada59fe, 0x1de47a22, 0xb20573e9, 0x2052e717, 0xf337c2b1, 0x25cf3fdb,
+    0xa71b9451, 0xb98cd697, 0x72a9c45e, 0x920a05fc, 0x1ef33ecd, 0x70df3e8b, 0xdefb4eb2, 0x072ace38,
+    0xa82acca5, 0x07b1a2a0, 0x044d62cf, 0x80bd535a, 0xeab93fd2, 0x2db906b0, 0x19b0a0d5, 0x3ff6950e,
+    0x92acb012, 0xf44f6712, 0x727e7111, 0x0d07565c, 0x1e1214ca, 0x6541f7b3, 0x06eb2a4f, 0xb53763a1,
+    0x8109ab82, 0x225eea01, 0x269ee438, 0x935b8329, 0x54582253, 0x7e8f7b02, 0x5b337253, 0xf1076ee3,
+    0x001dd508, 0x6f67013e, 0x397ae3cf, 0x6ddf26d3, 0xd0f6b38b, 0x86bce503, 0x5ebffc69, 0x2da0ed09,
+    0xad35d9cf, 0x5c0751fc, 0x0f49d874, 0x6d3dd6bc, 0xc9071822, 0x4036bf4b, 0xb30c63c5, 0xd04891c2,
+    0xeb2244b3, 0xf89f5ccc, 0x7341e078, 0xb693cd2c, 0x1d6ee233, 0xa0a5a2b3, 0x70940cd6, 0xad282515,
+    0x89f5a53a, 0x4a5322f0, 0xd7b35337, 0x98404a14, 0x4970eda7, 0x1c406eab, 0xccbefe54, 0xe53f4e8e,
+    0x89af47cf, 0x0631e31b, 0x60173976, 0x24eaba1b, 0xfff7639c, 0xd68f8a35, 0x14208485, 0xf428e378,
+    0xe1cbaaad, 0x7a032bfe, 0x1c9c05f5, 0x1a5b2327, 0x87cb25d3, 0x6ee38362, 0x413c2b24, 0xda8ac642,
+    0xf7acb375, 0xa6d9e4a1, 0x9d572d86, 0x79463f26, 0x1f2be4f5, 0x5f40149b, 0x582705e5, 0x8e765ccc,
+    0xb99f2c34, 0x52526b6b, 0xffbaa470, 0xa52cf19e, 0x7968fc30, 0x1dfab23f, 0x91169882, 0x5a443606,
+    0xce9d0784, 0x42181f81, 0xb16f60d4, 0xa7481db9, 0xbd82937b, 0x8387a995, 0x6216edeb, 0x073be4cb,
+    0xeba5d550, 0x3a814af1, 0x8cee9771, 0x56880d4f, 0x1a499a32, 0xd7de9b9e, 0x154d8cc8, 0xb4de6275,
+    0x7a44a1a9, 0x291faf64, 0x5a0bd69e, 0x44954d75, 0x7258c579, 0x7a75f628, 0xe7dd590a, 0xedbf3984,
+    0xa7f15f54, 0x87722147, 0xeaf3a334, 0xd99664bb, 0xcb75cece, 0x5bfbf583, 0x72fd6bc7, 0xa17923f8,
+    0x971fbb5d, 0xe6e818d6, 0x4b4d8e9d, 0x683a23f4, 0x5973246e, 0x60c8c136, 0x8288b94c, 0x1f36d1fd,
+    0xc8b9b2cd, 0x817627ee, 0x54e6b633, 0x055c6bb5, 0x5f2e27bf, 0xd90f11cb, 0x3ed57087, 0x6bfbad19,
+    0x7cc233f1, 0xc6319adc, 0x6598f805, 0x2db8dcb0, 0xc56ecc36, 0x0e94912e, 0x84e8ba07, 0xf53a25bb,
+    0x896dc58a, 0xc14f8cb5, 0x598b1dfa, 0x27804ba0, 0xb28e8c73, 0x630d6c2c, 0x71ba48a0, 0x16193415,
+    0x3728c433, 0xec69232d, 0x5414fe78, 0xd56d33e5, 0x46bfc026, 0x846e29bf, 0x112c6b8c, 0x64f71cd9,
+    0x9ef9fd58, 0x0cf14659, 0xe504e1dd, 0x753df3b0, 0xcca19de8, 0x480007b4, 0x51941c8f, 0x7c80f1e9,
+    0x3bed4fb9, 0xcfd23601, 0x62c9cf9d, 0x59a4378a, 0x832d886f, 0xfe09379d, 0x3f4d5363, 0x9a0edc0f,
+    0x3d1c3fe8, 0x1397ebea, 0xc0059ea2, 0x38f603b9, 0x8c912cf3, 0xfe3d147c, 0xd4fa053c, 0x603a88b9,
+    0x77acd84a, 0x36fc9379, 0xbc98930a, 0xfd27ed29, 0xdfbff578, 0x54b6ebe7, 0x9bae7f28, 0x0eb36a5a,
+    0x93b880e8, 0xdcad385b, 0xe6b92586, 0xd91f7b6f, 0x75a3447b, 0xad2d5e5b, 0x38c817e4, 0xe641a6c5,
+    0xc0958a81, 0xd73f39e5, 0xba42a43e, 0xb3823729, 0x86c9ef06, 0xa5918a2b, 0x7ba1267b, 0x5040049e,
+    0x6d441d09, 0x7e9eda08, 0xe665a7f1, 0xed8c71a2, 0x2b049707, 0x5919933c, 0x09635b17, 0x32351a1b,
+    0x6f8639e7, 0x3be88bb6, 0x1a42274f, 0x75161018, 0xf348a7f4, 0xd41e9027, 0xc95f6f82, 0xf6e8e657,
+    0x996a7b9c, 0x78572026, 0x9d51a6a1, 0x09cc6c6b, 0x75eea15e, 0xa88d123f, 0xd7d22953, 0xc32f4863,
+    0x13d14a76, 0x893cd3ce, 0xaa95807c, 0x53b9fc16, 0xe59cfaad, 0x5e13f25f, 0x628e021b, 0x543a0ed1,
+    0xefe859d5, 0xa77598f0, 0x11f35e72, 0x22d0748a, 0x9d34f1ec, 0x7fc26b02, 0x09ff64d5, 0x2df2dfdb,
+    0x93187a45, 0x9aae9e14, 0x9590808e, 0x282a1a7e, 0x79a42887, 0x0dd8743d, 0xcdf390e1, 0x70e088d6,
+    0x569c9bb9, 0xe0b26f42, 0x5a897acf, 0xb41caeeb, 0xe4498269, 0x42d83fa8, 0xbe5270b8, 0x764f9d6d,
+    0xad24d1ef, 0xf2077539, 0xcabf5b1c, 0x04c65dec, 0xaa9a3377, 0xaab01c5d, 0x8467f298, 0xad100333,
+    0xe299e873, 0x09a28e3d, 0x7c5c5b5e, 0x1731d169, 0x82554f96, 0x25663579, 0x0a103996, 0xb0829807,
+    0x9015f98a, 0x4249ee0d, 0xf05632c9, 0xace0ef7b, 0x1f5842e2, 0x90e3711a, 0x022b78a8, 0xdb945115,
+    0x38955c81, 0xd26834d0, 0xd3c876a9, 0x7d8a61a3, 0x4a1c5f61, 0x54933e5e, 0x2aab8cc1, 0x284aca84,
+    0xebe5fd76, 0x9ba8c004, 0x04b876c2, 0x942939d9, 0x82a9cce2, 0x35c9cc87, 0xb5c7623e, 0x50805fc9,
+    0xd8220466, 0x14bac937, 0xbbcbc6ce, 0xd5f15a49, 0xcac026cd, 0x0a1d5321, 0x7c9244c6, 0x945de078,
+    0xbdcfbaea, 0xd646e5e3, 0x2cf5262a, 0x931373e7, 0xc9531c1d, 0x066f0da1, 0xfd002366, 0xe5802ebd,
+    0xd9b72256, 0x736360bc, 0x31a221e9, 0x0322a281, 0x9a9b113a, 0xffcff819, 0x57fe6ddc, 0x759865a3,
+    0x94c9815d, 0xd208d171, 0x931730cc, 0x9b6806d6, 0x9193cb7c, 0x8d7fbec4, 0x46d3c27d, 0x51b8fb94,
+    0xd73d6858, 0x48014eda, 0x15708f6f, 0x2306dda2, 0xdfba516a, 0xf118fbd8, 0xd39da065, 0xb5cd7408,
+    0x1dad5057, 0xced8cbd9, 0x2d3c1f16, 0xeb42d739, 0x3d6c043f, 0x7c8e3df7, 0xd0614072, 0x77ea7d91,
+    0x2d2c9977, 0x568ac639, 0xf913d03f, 0x76f3c550, 0xb5a6fee4, 0x18ac2f47, 0x1e1b363a, 0x706700af,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000002993155353253689176481146537402947624255349848014848 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3269, 0x3aa01c83,
+    0x00000000,
+    0xda4d9751, 0xeb25330a, 0x383c47fc, 0xde919180, 0xd51489d0, 0x6a0baeca, 0xe878a7e7, 0x1bc120b1,
+    0x380550be, 0x89d909b5, 0x83d458b7, 0x9f2edbe3, 0xf31221e6, 0x7ff6e787, 0x46cee7e6, 0xa7070106,
+    0x4a965cb0, 0x9f95ac15, 0x46ba640c, 0x6a2a164c, 0xd20cf522, 0x4bd8a294, 0xc96d2dfe, 0xe72fa2db,
+    0x5b7f9904, 0x979083e1, 0xa27137bf, 0xc771a024, 0x396ccc30, 0xad955e8c, 0x95145f6b, 0xacda0b0a,
+    0xe800515a, 0x67484368, 0xacacee85, 0xdeb7f28f, 0x2673d753, 0x31da1c20, 0xa6f6707e, 0x4a1456da,
+    0x9c7035cd, 0x6f245d2f, 0x9e5e5f9b, 0xb014e291, 0xe43eef26, 0x72513062, 0x5a9f68e2, 0xa25193b2,
+    0xa3d523df, 0xc8a2235a, 0x6c81edae, 0xbe286851, 0x24b46906, 0x46ed9e26, 0x70ca209e, 0x9eef491e,
+    0xe9073439, 0x6d0b3368, 0x01ebbe49, 0xc98c0d99, 0x16162a5a, 0xcd7efaec, 0xd2ec94ac, 0x704c633a,
+    0x495cb9a3, 0x84d0b330, 0x3cfcce6c, 0xfb671dbd, 0xba384998, 0x09bfb37e, 0x332512a5, 0x0f5a58f2,
+    0xc80cbd1a, 0x6b1a212f, 0x8b3f814d, 0xabb92e76, 0x8a1d0c2e, 0x683ce441, 0x2f9c7eca, 0xf283a1ee,
+    0x8b5a9875, 0xea80561e, 0x1d97bfb5, 0x277264e9, 0x62f22c6e, 0x4f516462, 0xa4b1cbdc, 0xad61fda4,
+    0x39bd3cd6, 0x729bc22f, 0xd8578964, 0xa4fed467, 0xd19db27c, 0x9dd5f818, 0x4af5d6cb, 0x8afabf8f,
+    0xf959cea9, 0xbe1ddb26, 0xf5f95960, 0xa54292f4, 0x05dcf107, 0xa0b569ae, 0x9abfc754, 0xd79ade34,
+    0x1267a626, 0x2561586e, 0x06dca7d4, 0x55379b6b, 0x65cab215, 0x6869758e, 0x3951ec6e, 0x6d5383e4,
+    0x2a0c7e2a, 0x607e36e2, 0x09d18baa, 0x27710434, 0xb62fa075, 0x5d5bc8d6, 0x9f10dc50, 0x99a32ca6,
+    0xc9c77f10, 0xd258bf8b, 0x146283e4, 0xb1f771b2, 0x17791ddb, 0xf01a8e7e, 0x12045669, 0x0c0673fb,
+    0x805469a8, 0x65bd2932, 0x331e9a92, 0x03e5c6ee, 0xaf21f23d, 0xd8038e39, 0x97822bc7, 0xd664068c,
+    0xff149272, 0x89499b14, 0x1fece978, 0xabd7342f, 0xbce98434, 0x6c8eb9ef, 0x38a1139d, 0x75d6d8c3,
+    0xbb88c827, 0x3f2a3c55, 0x048bbed0, 0x4668c7af, 0x4146d759, 0x7e246e75, 0xfdc379cc, 0x367a4048,
+    0x13e83e1d, 0xb778e089, 0xb3d50347, 0x5776c56f, 0x83b8666f, 0x540d2a93, 0x33e0167e, 0xb7d31e08,
+    0xbc50b430, 0xe4b9faef, 0xf3990025, 0xd4fc743c, 0xb3f2d18d, 0xd62a0b81, 0xf3f29dcc, 0x88a35726,
+    0x0916c7c3, 0x8652a766, 0x048ce65b, 0xed111636, 0x4f380b2a, 0x1fe6f9ed, 0x8b9de959, 0x080e7a7e,
+    0xb098a5e6, 0xf2556da9, 0x7dce984c, 0x7dcd3ed6, 0x7f89f68b, 0x8742c139, 0x20f37432, 0x78064288,
+    0xd8c76eff, 0xa51af9cd, 0x75f41c5f, 0x782b256e, 0x89c08aee, 0xe651f3d5, 0x379317fb, 0xe166c2a0,
+    0xfc944cf9, 0xce5d6dc2, 0x770655df, 0x1e5a4416, 0x9f6ed454, 0x6e6e4eb9, 0x68761a67, 0x996af46b,
+    0x28f4412c, 0xefc525a5, 0x4b73543d, 0xb71eebfa, 0x869fa8d9, 0x7564c571, 0x341ca97a, 0x9dd87251,
+    0x6b1b2bf9, 0x180a9f63, 0xd8b64aa0, 0x2d942b79, 0x63a74c8f, 0xa3f29aeb, 0x69f45afa, 0xf51b91a5,
+    0x12c507ea, 0x8d45044e, 0x2269b571, 0x59d6583c, 0x71772e54, 0x252cd6e4, 0xf7bc6349, 0xb8829707,
+    0xe226a2a7, 0xc6f1f0a5, 0x2d5bee5e, 0x6464ccd5, 0x4ec02fc9, 0x94fbd864, 0xffa9fc8b, 0xb0b481b7,
+    0xf9454503, 0x516bc943, 0xcd48ae2e, 0x483a40e9, 0x0f3d0953, 0x358fbd43, 0xef5b14c0, 0xb0163b69,
+    0x145a96a8, 0xec237d13, 0xdddb8fac, 0x88f88abb, 0x40523d37, 0x1b4af575, 0xf1b987fa, 0x6281c8f0,
+    0xe1a35e07, 0x79b1cad6, 0x582eaea1, 0x909d52eb, 0xc0c9b8cc, 0x601ed23a, 0x9ec19d31, 0xc8a491e9,
+    0x1e834d18, 0x522fded5, 0x3a22286d, 0x73cdbcfe, 0xbc42a7f7, 0x31286c62, 0x40e78ccf, 0xd146cb3f,
+    0x8b008f3c, 0xa788039c, 0x74c70ec2, 0xc165662d, 0x239f3748, 0xcb625d5e, 0xafdb36bb, 0x11bbad71,
+    0x22948f95, 0x1b00c8e3, 0x66284e8b, 0x3e0dcb17, 0xce4f7519, 0xa26c7027, 0x60085950, 0x9c42383b,
+    0xafe2698f, 0x320ea50d, 0x3b5729b5, 0x252607c8, 0x7147aa3d, 0x4164e551, 0xa4264339, 0xa2e47455,
+    0x399fb454, 0x40042dcc, 0xb1bc9894, 0xef585508, 0x42c1a888, 0xe8ad6356, 0xb38a92f5, 0x2db44957,
+    0x5d25251e, 0xf0e9c4a1, 0x95387535, 0xc553f2c6, 0x6cf170d4, 0x292a535d, 0xdaf0282f, 0x6440ba70,
+    0x471476f9, 0xbc5e7d89, 0x90ab890c, 0xbb3a0fa0, 0x589bc0ec, 0x2fcb4873, 0x945c1aa8, 0x5820797c,
+    0x0572d79e, 0x26b2b654, 0x5a1eb40f, 0x26319a45, 0x23fd7c6c, 0x51220e39, 0xd6171e0f, 0x96b8e8e2,
+    0x4c7fb2eb, 0x4207702b, 0xbbe55c51, 0x32f6e9b2, 0x04909c2a, 0x1f02fafe, 0x2a1cf561, 0x3e9c65d5,
+    0xfd4404e2, 0xdd61b98d, 0xdd608bca, 0xd7401eb3, 0x7a75042e, 0xa00b8a79, 0x9a8b5663, 0xac6689bd,
+    0xc610fec6, 0xd337365e, 0xc350b252, 0xb5584f1b, 0xecd6bcb4, 0x31273d16, 0x27144e44, 0xc4f26144,
+    0xf9d5bbe2, 0xbdd397ec, 0xf3f90056, 0xcc95ae52, 0x653b4bfe, 0x1ab86bda, 0x991c2dca, 0x0bf6033d,
+    0x859af329, 0x46350d2b, 0x488b2da3, 0x547eb89a, 0x4deeed7e, 0xc668edd2, 0x13e6c5fb, 0x94c796a4,
+    0xbfac0340, 0x5895bbe3, 0x481b3b30, 0x95817bdf, 0x15687be1, 0xf3496bf0, 0x3a16d486, 0xe2909465,
+    0x1e4eb0e1, 0xf07d2cab, 0x94b478dd, 0x3d74de6a, 0x9c276ae2, 0x9dcf2d49, 0xedc8b2c9, 0xb0610551,
+    0x23ac8c64, 0xccab92b3, 0xfe59be69, 0xd2a7e208, 0x11330896, 0x0da9e6fd, 0x3bf64afa, 0xd984f618,
+    0xc863f3ae, 0xdc5bf6d0, 0xc8927bda, 0xb2347164, 0x16c28fb1, 0x9556236e, 0x0457b67b, 0x609deb6c,
+    0x46d4630e, 0xb704bca0, 0x8e222624, 0xffec20be, 0x9d26ab07, 0xed75e05b, 0x02f956d1, 0xdeec391e,
+    0xd77e34b5, 0x99272938, 0x9e008a5d, 0xe8cb5af8, 0x7839b94c, 0x0dc7ab0e, 0x02d822e3, 0x886ff696,
+    0x43478177, 0xd89053c1, 0x95f0e99f, 0xb6555674, 0xe7570dd1, 0xad54e27e, 0xf0816de6, 0x3f706451,
+    0x7723385b, 0x7af0bcca, 0xa12a6ba7, 0x9ab5c03f, 0xa59dfa89, 0x67e4da9e, 0x95935639, 0x563e89de,
+    0x8ed7f614, 0xb5aa0a81, 0x7a1d971a, 0xaaa3d224, 0xb7d19818, 0xb2012cc3, 0xc029b6e0, 0x38c6e376,
+    0x51b53f5e, 0x27900f94, 0x8ab23421, 0xeb7ffa58, 0x8cf02ca2, 0x20bc6d73, 0xe2dd8892, 0x4ea0abc4,
+    0x8a002deb, 0xc4843eda, 0x78df3d21, 0xcd474549, 0x5b1567ee, 0xcd115089, 0x5f92179d, 0x15fec377,
+    0xb95172d6, 0x8bd230d8, 0x8eb35171, 0x5652d0ee, 0x4813b99c, 0x87f3ba4a, 0x5e0c203c, 0x65c8ea6f,
+    0x4959b72f, 0x259b1e5e, 0xde5b1929, 0xfa3e7c55, 0x1140c1eb, 0xf77507a3, 0x5a7e004d, 0xe902bdd9,
+    0xc07f4714, 0x98e7b854, 0xc79a088c, 0xc0c5b452, 0xdfa9da38, 0x0d52b309, 0x50d36979, 0x4c8a49a8,
+    0xc14d6540, 0x21888e74, 0xc4f87227, 0xe98c7cf3, 0xa692261b, 0xce3f05f7, 0xf32a9492, 0x40c744ee,
+    0x9239316e, 0xef53898c, 0x3a879e12, 0xa620b91a, 0x816958d1, 0x3bafd01b, 0xb1beca51, 0xc0054a6d,
+    0x29d70268, 0x93ff5328, 0xfc2e966a, 0x1779e4f7, 0xbcae5a93, 0x00fadf67, 0xc237c420, 0x9353dccc,
+    0x32e9ea5a, 0xf9a9d17f, 0x54c6fd14, 0x820dca7d, 0xcb625ec1, 0xebfcc4a0, 0x6a09e718, 0xadce5e99,
+    0x85294b21, 0xb06b37be, 0x6292ea96, 0xe116a9f4, 0x4754efaf, 0x22ed5cd0, 0x56ebc7ca, 0x0937beae,
+    0x34a2f3a4, 0x73865e71, 0xd8887e4f, 0xae1e455f, 0xb825737b, 0xcd9247db, 0xe7930320, 0xe22fbbad,
+    0xaf8046b6, 0x70dc6c31, 0x7caab265, 0x4a74a46a, 0xbd367130, 0xfa5db8ab, 0x57b8fbe4, 0x8ddfbb23,
+    0x4a776c73, 0x6b47c878, 0x912db1b1, 0x0c4ebb59, 0x4773158b, 0x26bf5fdf, 0xc97042ce, 0xf6337016,
+    0x2bbe374a, 0xc4a5f5ce, 0xbfb7c553, 0xe364917c, 0x83f5447a, 0xd673c07a, 0x1b04e981, 0x14f96618,
+    0x0fa46869, 0x0931ff68, 0xb0d03c9c, 0x6cdcfb22, 0x12479e15, 0x9d149d5e, 0x805982cf, 0xa3590fe5,
+    0xe24921f0, 0xf54b12e7, 0xfca0996e, 0xa4c93799, 0xb0ab65f5, 0x40acebda, 0xd6e2ab12, 0xe8df6e8f,
+    0x2fef5df5, 0x7b286799, 0xb2fe8a4b, 0xce19c2e2, 0x62c66554, 0x8934d6cd, 0x0d7bd33e, 0xb59c6a0d,
+    0x59fdb9da, 0xcd907dd7, 0xb6954a82, 0x342c4ad7, 0xa18c76da, 0x987333d3, 0x5a8d194f, 0x30805829,
+    0x46703284, 0x3448e77b, 0xee024e29, 0x57df38c0, 0x2e6868dc, 0xd9698355, 0x00024586, 0x3b861740,
+    0x54732e52, 0xd6ac5f9e, 0x3973ff0b, 0xdafa2c02, 0xd93d23f7, 0xfa396beb, 0x28b42a3d, 0xac7d7cb7,
+    0xe91bb75d, 0x93ffe9ad, 0x4e0f4a97, 0x6bc0014f, 0xbce730a9, 0xcbed49d0, 0x3449cdb7, 0x5e863233,
+    0x21b6da11, 0xa3f82841, 0x58fa8bb9, 0x9c61ada2, 0x5b2fe0d8, 0xae62a6e4, 0x748b604e, 0xee74ed6b,
+    0x6dd602a9, 0xfb8a61f6, 0x84b6c545, 0x3b7ea3b2, 0xf485c7d6, 0x057893df, 0xc7e7de0c, 0x6b0b13a3,
+    0xf5cd306c, 0xb2157b33, 0x7de3af94, 0x974d8801, 0x580b3f49, 0x824156ce, 0x25dffb14, 0xe1ad4dc5,
+    0x360bc8c9, 0x8d3d313f, 0xea2a8382, 0x3168ef03, 0x36a90d17, 0xf248acb6, 0x46d79deb, 0x3213f918,
+    0x317afeba, 0xba70884e, 0x2bfdad4b, 0x471348f3, 0xc5a14efb, 0x28ecb7ea, 0x0975ca72, 0xa61bc240,
+    0x85608cdc, 0x541aa432, 0x940ff3e3, 0x7079bceb, 0x82e76d65, 0x4e5d12b1, 0xfa4fc046, 0x5670a128,
+    0x76775e2d, 0x24e54a63, 0xa04396bc, 0xa1cbb1ee, 0xb4f7fab7, 0x477ed6d6, 0xb427ce7d, 0xaa8d3e36,
+    0x0e5c4160, 0x5e798cf5, 0xd1276ade, 0x261bda35, 0x6b553202, 0x4ab3c5ae, 0x7b81e355, 0x25569d85,
+    0x9f6b8091, 0x4a66630c, 0x73e5bad8, 0xc800af1f, 0xcbd66ecf, 0x5e477e51, 0xceea830f, 0xc0b80b39,
+    0xbbd5e750, 0x75f16cf5, 0x62a600d0, 0xd2c5d430, 0xfd4847ba, 0xa3496d81, 0x330f86e6, 0xe5f15368,
+    0xdeae8605, 0x89173909, 0xb3820d7a, 0x4890d56a, 0xad87016d, 0x5cb1350b, 0xabbd655c, 0xc476e4ab,
+    0x00fc2efc, 0xa732756c, 0xeea359fb, 0xc59c6079, 0x4b4fbcaa, 0xf27fa2b7, 0x94bc3666, 0x3790bec2,
+    0x35933935, 0x36c70c95, 0x500f0493, 0x85e9f44e, 0xf4cd99cd, 0x4ffb2f38, 0xece65a30, 0x2bac5c0b,
+    0x5a2a09f6, 0x376195db, 0x53560419, 0xd5e394a6, 0x4e8d5543, 0xa83a28ca, 0xcab5b401, 0xa93b8e28,
+    0xff38d783, 0xc60a3ddc, 0x1ed218a9, 0xcfe836a2, 0x525e6bff, 0x69b54864, 0x152548ae, 0x4e5a2bb9,
+    0x0cf76192, 0x502879a6, 0x696be8bb, 0x107d4ee4, 0xd3b36052, 0x653cc375, 0x815bd4cb, 0xc9e99ecf,
+    0x122b0c94, 0x8807f179, 0x6fa39b43, 0x8dacc3e9, 0x4ba6580c, 0x64ca017b, 0x8c3f1fe8, 0x3f571e36,
+    0x66c59658, 0xed3b929a, 0x957da018, 0x8259bead, 0x7c76ca68, 0x8612501c, 0xf90ef041, 0x75c51035,
+    0x5cf30018, 0x758f3b69, 0x559ebe41, 0xce9de4dc, 0xa247d5cc, 0x03d6a0b0, 0xa19e9d2e, 0xa03b9589,
+    0x95ca3238, 0x75576ab9, 0xdc3e760b, 0x467b1973, 0x92f7daac, 0xd6bf0e9f, 0x6e354dac, 0xd9d54310,
+    0x0abdee87, 0x566551d2, 0xc1329d2d, 0x3fc70e36, 0x3eb267cc, 0x1ce2e817, 0x30e53089, 0x14d4142b,
+    0x8a28bf63, 0xefec352d, 0x82615fbe, 0x40ba7508, 0x76fa8262, 0x29c8d117, 0xc5db931b, 0x7572f54f,
+    0xae10b69c, 0xd69e47ea, 0xf837be56, 0x3b500362, 0xe2505f6a, 0xc96c9263, 0x93fd8500, 0x48c431a7,
+    0xae46f997, 0x1e24f8ef, 0xb225def1, 0x314425d0, 0x67251468, 0xbf01477c, 0xeb34704e, 0x38121432,
+    0xbef78077, 0x340cd5d7, 0xe75d6184, 0xbd091162, 0x3c093954, 0x90ef72f4, 0xcc45fb7d, 0xc65baa4d,
+    0xbf9a7806, 0xe4f69782, 0xf4e53641, 0x708ff6c8, 0x69380f9e, 0xf6f96f7a, 0xe91cb552, 0xd2b9738b,
+    0x725e62ef, 0x281d84b1, 0xccebd309, 0x8fe6c09a, 0x72d075f5, 0x8b308afb, 0x829d6e7f, 0x59ad153d,
+    0xce831e65, 0x613a0f92, 0xea5bbb94, 0xaa260891, 0xc249d51e, 0x92650d34, 0x142cc76d, 0xc92c0af1,
+    0x6971cb08, 0xbd4a9945, 0xb97da505, 0xf8c80913, 0x80ba73e7, 0x0dfeb58f, 0x923804f6, 0xda9497a7,
+    0xb0879c65, 0x3fe15886, 0x3578aa81, 0x8287f53b, 0x01bf3284, 0xe71a3b8b, 0x5cf5212a, 0x78cc95cb,
+    0xfc4a558d, 0x03ff0403, 0x06fb35ee, 0x288cd927, 0x000e445e, 0x04f463e0, 0x052407f4, 0x9892073f,
+    0x8def1fbb, 0x23b0844f, 0x31c472c3, 0x3af224f7, 0xef6d4690, 0x094de079, 0x341ee411, 0x86a124ca,
+    0x6bf12be0, 0xdad9fde6, 0xe915a862, 0x29584ef7, 0x9f950c5b, 0x26555f62, 0x96f67f27, 0x6270f5a5,
+    0xd97faf9a, 0x5a81c064, 0x15432ea3, 0x2f1d871e, 0xef91546f, 0x68314c58, 0xd1e11400, 0xea85e285,
+    0xd67135bd, 0x399a8e8a, 0xf98874ba, 0x850f6d60, 0xea3e36b7, 0xf671e78c, 0x80951edb, 0x1f7abc57,
+    0x5b2cba3f, 0xa71ae91f, 0xee3ea265, 0xd4f1e2fa, 0xe986d3dc, 0xf478e86e, 0x7ef6bb7c, 0xb02aa441,
+    0x9b53eba3, 0xfe08ac00, 0xa9cf99ca, 0x89eca710, 0xc2cf8ca4, 0x51ae634f, 0x0b27ba7c, 0x8ab337af,
+    0x79d03412, 0x882deea3, 0x42e7f6a9, 0xe4859147, 0xc175c63c, 0x34d03373, 0x8750f648, 0x484b666f,
+    0x0f297923, 0x30852fef, 0x5e7c43f6, 0x3ec08a93, 0xae9acf2f, 0xfffe7922, 0xcccdff85, 0x9e3f4420,
+    0xc6b706cd, 0x32d11dc5, 0xac1b8956, 0xb90e28cf, 0x4d3222be, 0x3ebdfb1c, 0xe68158dd, 0xc842c4ad,
+    0x32375405, 0x632907ff, 0xeb848966, 0x89ce5c7f, 0x31e607c8, 0x4fbec401, 0xb700628e, 0x1ce4b0f1,
+    0xcb080874, 0x34ccea3f, 0x6d55bb5f, 0x23f75353, 0x2f7ee2b6, 0x06e55b28, 0xd134eb74, 0x9de28c39,
+    0xb59908c4, 0x9e91a7ae, 0xf889f550, 0x5ed66b91, 0x25fe2cb0, 0xc35a3b5b, 0x71452ba3, 0x635750ba,
+    0xb7d9520d, 0xebfe9a05, 0xf975bdaf, 0x8fc63958, 0x3b3fc8ca, 0x024cdc0d, 0xea058c5e, 0xf2cc1816,
+    0x5e01fc51, 0x107c5f7e, 0x5a34a494, 0x270be3b7, 0x8ef48ac5, 0x1c351cf1, 0x5f5b65c3, 0x38140d33,
+    0xb8cf1956, 0xa40ea536, 0x0eb1f4f3, 0xa240a91a, 0xa65e6f1c, 0xa06c710c, 0xfe491f85, 0x02d3adbe,
+    0xdd8249d6, 0xc3bc511c, 0x386c815c, 0x82e430bc, 0x47af1200, 0xb354b668, 0x7ab6eaec, 0x0ef093ac,
+    0x8ef2f3c2, 0xe614f199, 0x8dc46ea1, 0x91b816aa, 0x2f3afd59, 0x9775e3db, 0x402c0d21, 0xfd4e6151,
+    0x39f4e2b4, 0xe498a401, 0x2ede07f6, 0x6211f465, 0xb3e7d6d9, 0x2ba0da0b, 0xad03ccb1, 0x82e1b96b,
+    0x89d17824, 0x3604722a, 0xb5289328, 0x3df42b4f, 0xf0ee05e3, 0x7978327a, 0x87211770, 0x6ccfcc31,
+    0xe8241477, 0x500ecf59, 0x65642582, 0xddbf0310, 0xae0277c2, 0x05ab7ed0, 0x1b3032ca, 0xc9e49256,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000001496577676626844588240573268701473812127674924007424 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259934, 0x9d500e41,
+    0x00000000,
+    0xa7293670, 0x450240ba, 0x3ab34b10, 0xcdbec5c9, 0xd42d16e6, 0x262d9e84, 0x40bb4788, 0xa04c2865,
+    0xd3557cb2, 0x39aca389, 0xd02b39e7, 0x741db8f0, 0x69be8ca9, 0x83005cc7, 0xff567041, 0x1bb1ab2b,
+    0x5bfd3793, 0xc474b7b9, 0x81119137, 0xbd275930, 0xc38da829, 0xa17f0117, 0x118a54fa, 0x32732efa,
+    0x17afbb8f, 0x3e46e26f, 0xa3f0ce17, 0x231eeaf1, 0x3e571518, 0x4ef701aa, 0x544156e5, 0x1e9ac616,
+    0x248bbcee, 0x1a9bbcc6, 0xb0bd2aae, 0xeb412cff, 0x2337b38c, 0x884368ea, 0xd7b16b5e, 0xf89bc19f,
+    0x84a1a191, 0x4a4938c5, 0x5de93a92, 0xfe2e0863, 0xd2aaf1fa, 0x4d74ca36, 0x0e75e440, 0x23aec125,
+    0x3bb31058, 0x2301a175, 0x1a5c788d, 0x48ec2db4, 0x9c7c3cbf, 0x0bd67f50, 0x9aa8718b, 0x824faf20,
+    0xffd063d9, 0xf807503b, 0xb3037005, 0xfc2e12b3, 0x4e624435, 0x3cb5a3e4, 0x97640b75, 0x7b2afd6e,
+    0xfbe2df50, 0x75df2d77, 0x6e7e09c8, 0xf31eebdc, 0x0e54268a, 0x5aefee7b, 0x6f4bc11f, 0xb23c5647,
+    0x6a0fdbb1, 0xff3e897d, 0x80e40552, 0x43139093, 0x5ed812fd, 0x2f9e4c51, 0x9aa3e0b5, 0xb5195dc1,
+    0xa6d3acd9, 0xf7996509, 0xecdc3d47, 0xef1db58f, 0xe5ac71f0, 0x02303801, 0x73645d7d, 0x8970e231,
+    0x5b4612aa, 0xacde3544, 0x9c5a37f2, 0x412e0469, 0x07fc5754, 0x6ae11f9d, 0x5d067c95, 0xe45bfca1,
+    0xf710aac3, 0x77e8ce42, 0x6952c0c3, 0x8a7dc3e1, 0x4733c046, 0x9432e321, 0x91bf4872, 0x1c79c162,
+    0xf65d2657, 0xda24f07c, 0x1d698e4d, 0x837825db, 0xe7e26e7a, 0xa6956b11, 0x303e514f, 0x7f28ebcc,
+    0xc213eec4, 0x1104d986, 0xc6442b6d, 0xc62498da, 0xc26f1806, 0xe731b57e, 0x99f60779, 0xd2b51290,
+    0x75f40ff1, 0x73931a90, 0xa7f026d8, 0x368e20a8, 0x9e9ce427, 0xc1324cb8, 0x6b89e300, 0xdf6e0628,
+    0x78f469ca, 0x64f3a954, 0xd81317e9, 0xa67f2dda, 0x67cc9806, 0x8f0f6879, 0x40ad5e1f, 0xc499f570,
+    0x0c19a29a, 0x35332dd0, 0x590e8c25, 0x235f9520, 0x4ae1cab7, 0xdc3e4f91, 0x5b14385d, 0xf4600228,
+    0x205a7b7a, 0xfa018dbf, 0xeb568fb8, 0xd28e5e22, 0x3abc1ed4, 0xad5c06d8, 0xd1cfe6e5, 0x14a7f479,
+    0xdc9deaa8, 0xb9debbe1, 0xc14cfbae, 0x1892770b, 0x7a008e6d, 0x99e2e3f3, 0xdb3741c5, 0xa316b819,
+    0xeeb6ea51, 0x955390d4, 0x3fc32257, 0x2abbf007, 0xd7ea9d5e, 0x5d94c151, 0xae5b114f, 0xd333fb88,
+    0x428c2b11, 0x6713fa84, 0x5a4779d0, 0x25a05d6b, 0x3c3c3b71, 0x9a0ba4de, 0x1b5c8f42, 0x0f77ecc1,
+    0x4dbae8ee, 0xd4ee67a9, 0xdaa8ab0e, 0x0c82ff6d, 0xbd5103a3, 0x2625abdd, 0x6b79c7c0, 0x9a7779fe,
+    0x82caf443, 0xafd2a3a1, 0x34b2e853, 0x62d8e9e2, 0x2354dda0, 0xbac75101, 0xdb4e59f5, 0x0e5fb6aa,
+    0x5da0b6d4, 0xe2eeb160, 0xace7279b, 0x776b57de, 0xb56fa541, 0x0920c7cb, 0xa9741142, 0xbc2d29e9,
+    0x5b9e8ee9, 0x6fd0db20, 0x6d3719f6, 0x19d3ce31, 0xfa88c2a6, 0x94a3d9ef, 0xc0de5cbf, 0x654325c6,
+    0xdeaa010d, 0x9ac87f76, 0x0023f6a0, 0xe560c831, 0x95c555b2, 0x12a52cf0, 0x00d36c46, 0xb5ac2a78,
+    0xd512c287, 0x75462a3d, 0xd3efdffb, 0xab6811af, 0x1ce2a2a0, 0x46bfeff2, 0x2a98e3bc, 0xfb613495,
+    0x95dc9d00, 0xa1cd3bdd, 0x567bb087, 0xe783c9af, 0x4794bcc2, 0xf21c04d8, 0x2863e547, 0x46b281a3,
+    0x38221031, 0x173e1fcd, 0xc39c5fac, 0xcefa06e5, 0xeba48172, 0x705f9657, 0xd8d1a31a, 0xcc2a1c7a,
+    0x2805c538, 0x1b330c2f, 0x6910a7f0, 0x98475c7a, 0x3533510d, 0x3ca54bd7, 0x55a7ffeb, 0x3cb9eca5,
+    0x2d6d94be, 0x96bae6e2, 0x168c874b, 0xfac5829f, 0x7dceb258, 0xfa749a4f, 0xe7d8d56d, 0x066ad6f0,
+    0x8fc4c3e4, 0x5ef85e66, 0x42168fde, 0xa35653ee, 0xf65acc4b, 0x3fe13def, 0x9db89eb0, 0xbcd27e8b,
+    0xcd31ecbc, 0xc8f13e4a, 0xc49c132f, 0xbc80ad21, 0x07feb7da, 0x5b49b324, 0xedb3babe, 0x712904fb,
+    0xdc288c87, 0xfae4a545, 0xf0e20f16, 0x9043b9e0, 0xabca9e45, 0x65d2a029, 0xc03b3173, 0xebfab140,
+    0xd0f37d16, 0xba3c7426, 0x3275df44, 0x32ddba15, 0x81cdd0cc, 0x28645b34, 0xd7c692fb, 0xe66bbfb0,
+    0x5bfaf805, 0x37e8277f, 0x8d0b8ef6, 0xf4acc2ae, 0x08521bfc, 0x4af9bb52, 0xa4e235b1, 0x25dfcfce,
+    0xb10c43fa, 0x3eeca185, 0xeb96e03a, 0x63a7002e, 0x56f6a9c8, 0xc6c7c360, 0x54325c5a, 0x742f2653,
+    0x077ae345, 0xdacbd8a7, 0xfe7bcf5f, 0x9f6b6d65, 0x26c4df10, 0x1acb9c0d, 0x51bb97c2, 0xa679bab6,
+    0x9f3aecaa, 0x39d9dbc9, 0x483f95b9, 0x62cf8bdc, 0x2ada6fab, 0x8550c34c, 0xa906c4be, 0xee854531,
+    0x98ca4ef5, 0xccabbdcf, 0x0a6a6aee, 0xcbd2f3a4, 0xeb433575, 0x9c7b1ec5, 0xa2aa8050, 0xee79ebab,
+    0x3f3b83e9, 0x2f0ed3ae, 0xee2908a5, 0xa268ab79, 0x787f74e2, 0x174fbd21, 0x9d0f4832, 0x06e0cf73,
+    0x059f8393, 0xa7fc8bb7, 0x9a50e061, 0xb33e97da, 0xa84f0255, 0x1b35ec07, 0xaf07212f, 0xbf856860,
+    0x0b9b9f5b, 0x89ab9cf3, 0x4fedd023, 0x906b1853, 0xf4a04ed0, 0x9d8e7245, 0x2a2119ee, 0xea67fe3c,
+    0xaffb5e25, 0xb448f57f, 0x392c7d99, 0xcd55f33c, 0xbabdcd3f, 0x63d41d22, 0x68dfd203, 0xb32ffe7d,
+    0x4f24040a, 0x116e0811, 0xc1ee7df3, 0xc94d0a5c, 0x9cda96cc, 0x792d4736, 0x782686e5, 0xb25889ad,
+    0xd44ab2ec, 0x85c4176a, 0x68fbb043, 0xb6ef3b98, 0xea396e38, 0x2059c34c, 0x8182679b, 0xca14b1c0,
+    0x8891d86a, 0xed97e37c, 0xd7107b90, 0x899bf371, 0xf6b8ab72, 0x7ff1621b, 0xeb9e0777, 0x8743d54e,
+    0xb5bf0da0, 0x90c29ad8, 0x6e6fea52, 0x881bdab3, 0x846e5f5a, 0x6024009a, 0xdaa7cdef, 0x2f85bed4,
+    0x637a34c3, 0x88f9b606, 0xe70df2ae, 0x5726846c, 0x10547609, 0xdfb4945d, 0x36de8d26, 0x953622dc,
+    0x904ab8ff, 0xa0b6bd5d, 0x2761fac6, 0x3f866907, 0xae828cbd, 0x2c763506, 0xf7dd6c5a, 0xdf159eee,
+    0x8b3bf25a, 0xee4ccfbd, 0x6b4fa51a, 0x37417463, 0x005efa78, 0xef069130, 0x63a8856c, 0x9361de2d,
+    0xc08d7f59, 0x5ee56587, 0xb01f8477, 0xd782daea, 0x35b694a3, 0xe381cbd9, 0x9a2762ac, 0x604961d7,
+    0xd7b139d1, 0x1f81da1a, 0x9a25d2b2, 0xaa50de1d, 0x08de2061, 0x67228ee1, 0x3d2956ac, 0xdb8a6856,
+    0xb10a42ee, 0x7a333eb8, 0x3ed98b1d, 0xd5aeb420, 0xa828b4ee, 0x2f3b0e8f, 0x45d0a284, 0x927f0c1a,
+    0xf0ff3187, 0xcd7794ad, 0xaebeadd7, 0xa865f534, 0x7242b00d, 0x3ab71971, 0x98efb224, 0xaea3d086,
+    0x3c83aa19, 0xf788506d, 0x0ae2335f, 0xe198d098, 0x3f2de89f, 0xa900ab3d, 0xd961248b, 0x4f0db2c1,
+    0x746f923e, 0xa91897a6, 0x02724e31, 0xb2c405d9, 0xb81cd891, 0x43e86e0e, 0xc13430eb, 0x26c55db6,
+    0x89cc17e6, 0x94d7e376, 0x9f8c548e, 0x7bbe8b03, 0xae49f7d3, 0x18f73a13, 0xad673997, 0x03ceb883,
+    0x1a5e0d3b, 0x397e2504, 0x66eae825, 0xab9c9357, 0xef2a2f0a, 0xdd0dbb75, 0xa7a8480c, 0x8522ee3b,
+    0x8f2adc8c, 0x71e13fe4, 0xd6edc2c0, 0xb13ab24c, 0x22709716, 0xd69ace3b, 0xf8971fba, 0x0872727f,
+    0xb8892902, 0x92bd903a, 0x29fd249b, 0xc8e3c91b, 0xa08e3526, 0x31f57f5a, 0x51ef68c8, 0xe7a8230a,
+    0x728fc0da, 0x110b08b7, 0x9c7729c5, 0x18b5c73a, 0x57b372ec, 0x21486e35, 0x1e3adb66, 0x97e221c8,
+    0x8ef9478d, 0x9fd87676, 0x7e6a4188, 0xd37c70e8, 0xbfbc7e7f, 0x4c6422ba, 0xc2fdf60d, 0x4b4178a1,
+    0x4a18a1e7, 0x67b5caa8, 0x3889800b, 0x88074d75, 0x07d7fa76, 0x72e7d189, 0x64259b3c, 0xb5d23a90,
+    0x2cd44974, 0x5be0a815, 0x48c634bc, 0xf825d38a, 0x7c4ca1bd, 0x181d092b, 0x4d4ae328, 0x7cbeeaf3,
+    0xa1cb1723, 0xd2d5a73f, 0x7df25985, 0x473afbb8, 0xd0cc019e, 0x8f8788ce, 0x7a03b9c2, 0xb38bcbb3,
+    0xf6d9a0f2, 0x1364c9e2, 0x18e85a34, 0xca278e6e, 0x0024e0b1, 0xa9cd9c19, 0x7e034b42, 0x36def411,
+    0xbb3fd21c, 0xbc1e0620, 0x6a3c536e, 0x5829e2e3, 0x0c38ffbd, 0x8d1a7bdf, 0xe1e33c51, 0x233a2143,
+    0x14bbe01e, 0x0e63632f, 0x47fe3bb0, 0xb3761403, 0x162d296f, 0x2fa2d1cb, 0x53d5c9f0, 0xf8cbf4d3,
+    0x9d568d4f, 0x41029032, 0xe3a5e3a7, 0xc6b013fd, 0x118a0843, 0xe9e9fef0, 0xe1614055, 0xcaadd3da,
+    0x6cb1564e, 0xd8d26be1, 0x624164b9, 0x7c5d0938, 0xd1a9762b, 0x479c41f3, 0x697a920d, 0x113f4813,
+    0x3c728cb5, 0x4f0961fa, 0xb0af1f3f, 0xa0c5b29e, 0x0d93eb6e, 0x7f8ab2d0, 0x4fdd1dfd, 0xb95d9537,
+    0xbe3992e8, 0xfdee6dc1, 0xb7b7e312, 0x6c5b3ad1, 0x0e9f4d55, 0xe4817561, 0x842c6e92, 0xb78b1ed0,
+    0xa01d925c, 0xdc300618, 0xf759480b, 0x02634e6d, 0x2c0e1dfb, 0xcce44c16, 0xd519ab74, 0x49710adb,
+    0x940031e5, 0xcf53b2c4, 0x6f4b5f93, 0x63555170, 0x19a50612, 0xaf86dc39, 0x1d48886f, 0xcbce12c0,
+    0x659763eb, 0x5d0d8af0, 0x6dc945c4, 0xd8f7ade6, 0x32d3d175, 0x05bf10cf, 0x9cfc7dfa, 0x4ce5aa42,
+    0x80252da7, 0xd7ef08aa, 0x13b9ee6b, 0x47c9a9ee, 0x83f861cf, 0xbb31ae8d, 0x97b020a1, 0xd622e945,
+    0x272c5f94, 0xcc0d5f46, 0x64db9554, 0x173db8ce, 0x3f8f7df0, 0x6fe1b5c4, 0x4a050414, 0x58401655,
+    0xfff0fea5, 0x6691b38b, 0x42a326b4, 0x4e4abbbb, 0x7751c24a, 0x4e921c84, 0x8898d2c7, 0x86373619,
+    0x52c4c603, 0x7944464f, 0x63bac915, 0x509a9a0a, 0x08007d47, 0xc48c33bd, 0x29cfec2b, 0x65275c2b,
+    0xae1d4436, 0x96d29c37, 0x69b3780c, 0xedaddab5, 0x62047bec, 0x893a1f09, 0xc1223215, 0xac284005,
+    0xef032069, 0x298863cb, 0x40254490, 0x01c24110, 0xc623ab3c, 0xe07ba1d0, 0x5ca02adb, 0xae8aecb3,
+    0x1ba42359, 0x3f3d90f3, 0x1bf20e8d, 0xbc0598cc, 0x65b42110, 0xfeb619e8, 0x2b1cb807, 0x9ae0fc0e,
+    0x08d16ed6, 0xc3b30945, 0x654e588b, 0x08f97ead, 0xe968c9a8, 0x40ef2c67, 0x5a77e179, 0xcb347538,
+    0x646d0de9, 0x4b35dcb3, 0xa34db535, 0x926b493d, 0x5f163d18, 0x918c98b0, 0x63d809d7, 0xa65acfb4,
+    0x425cbac4, 0x3b85e5c0, 0x5fd2dce9, 0xf7da815d, 0xa706966f, 0x1dffa8fb, 0xc81336c0, 0xf734f61b,
+    0xb5896b8f, 0xdfc5aaf2, 0x6ecabbfc, 0xdbaf10e6, 0x313b562b, 0x3a6887be, 0x9ed41d3e, 0x0690f72b,
+    0x117b6a0c, 0xc18379f8, 0xff3a311a, 0x22536a51, 0x3731c64e, 0x1c5db8d5, 0xb0ba0811, 0x74b3b83f,
+    0xe57d1893, 0x31bfcdb1, 0x172be8dd, 0x4c96f476, 0xd0c207f0, 0xa8a6c137, 0x94d59177, 0xf7640d70,
+    0x047323f9, 0xeb95492b, 0xb15a2acc, 0x4c36571a, 0x70d4770d, 0x8b11fa53, 0x763d5599, 0x2036aa21,
+    0x8a92bac4, 0x08313018, 0x0d50c8be, 0x92f64fba, 0xf3719c34, 0xb92cd793, 0x596940f2, 0x870650ac,
+    0xe5499225, 0xa50bf498, 0xcc39ea36, 0x3a59062f, 0x09f64b47, 0x23f8a839, 0x12fd44da, 0x67568b39,
+    0xe16db87f, 0x34b17860, 0x11c2bff8, 0xc5c5a519, 0xa68f6a0e, 0xf87f789d, 0x023e3a74, 0x41ac3128,
+    0x507bc7a6, 0xd429df41, 0x6d649d4e, 0xeff24386, 0xcd81742a, 0xb938e426, 0x437478bf, 0x483cb0f6,
+    0x18bc0950, 0xfba720f0, 0x4256a741, 0x39c4e594, 0x92b3c307, 0xa70c4e8f, 0x8ac7f41d, 0xf9533009,
+    0xf9ce592e, 0x68288df5, 0xa1866b26, 0xfed70ae9, 0xaf3e69c1, 0xca41c3ba, 0x5ab6d193, 0x380b0b4e,
+    0x53643612, 0x09907d63, 0x64cbebc9, 0xaa563bd8, 0x85350bb9, 0x3d7a016a, 0x656a414e, 0x4d82ec57,
+    0x142f24ea, 0x627736ad, 0xd2ba2665, 0x18743c8e, 0x613c84c4, 0x93d53d67, 0x96a5663f, 0xb0a3512a,
+    0xc8889368, 0x5a5e606d, 0xf608ce79, 0x4974b5f2, 0x3b40fd57, 0x28652cd8, 0xa6e82dd2, 0x6dabcd4d,
+    0x5f48bff4, 0x7a44c274, 0x9fd48b96, 0xbff13963, 0x8143d893, 0x9a3caf86, 0x6e26d136, 0x8232a8c2,
+    0xd2d97106, 0xb0a8df5e, 0x3d62a711, 0x05a1402b, 0xa112217d, 0xdb3b3ce0, 0x658a68d0, 0xfc25cf42,
+    0x454e7dc0, 0x59bb7378, 0x0b0a9cc4, 0x573c8c96, 0xdfabbeb5, 0x581e9df1, 0x8943bf07, 0x35396930,
+    0xa46f0700, 0x075ca50b, 0x171d2d01, 0x300055da, 0xdc6aff38, 0x06126124, 0x64469b70, 0x5643a7fa,
+    0xe08a964a, 0x1dd9adf6, 0xd293b8ae, 0xc50079e9, 0x5c5b5eb7, 0x4e08a506, 0xb3810da3, 0x7c09e80d,
+    0x93d6e84a, 0xf118ac8d, 0x1a4bd447, 0x6b4de635, 0xb84883ee, 0xeaa7973d, 0x2cecf8d1, 0xa105dbd1,
+    0x4ad12255, 0xdc64e99f, 0x9c093c5e, 0xfb547130, 0xb4174615, 0x18db9da6, 0x120ca152, 0x26692c6c,
+    0x30743f65, 0x00d3e9f1, 0x8160c694, 0xd6de577b, 0x6ce99ded, 0xebebbb82, 0x4d1019ac, 0x6ab8f255,
+    0x474c8261, 0x18a07145, 0x9cf14ea0, 0x7f393a1d, 0x4d297414, 0xf43457f0, 0x51016e7c, 0xf6ecbe92,
+    0xec3c61a8, 0x4b1be1f7, 0x8bebc252, 0x27aa529c, 0xca6d398c, 0xa166f3b9, 0x99709010, 0xba47d155,
+    0x66bd2502, 0xb5454afa, 0xa7ed00d7, 0x8cf5ba6e, 0x32b1126a, 0x548e5a90, 0xe23582b9, 0x8efac91b,
+    0x2b7d4586, 0xefd7f1d1, 0x0e2a4d9b, 0x18f4e466, 0x4ce3e97b, 0x77d5ba4c, 0x03c70635, 0x8d8cd808,
+    0x83a2d542, 0x9f98ea4a, 0x88997525, 0x957be6f4, 0xa738d589, 0xfcf113e1, 0xf0ef2cb8, 0x35e42af8,
+    0x7b760211, 0x90f639c3, 0xbef0996a, 0xa567f18a, 0xe8304467, 0xaad5599c, 0xbea68e9d, 0x7d9994bd,
+    0xaa362311, 0xd12b2469, 0xa73895c2, 0x59904b77, 0x8503b0ed, 0x871e57b7, 0xd58d142d, 0x54847340,
+    0x59925083, 0x5016a8b0, 0x85907a8b, 0xc7515101, 0x0c7195f1, 0x5ec16820, 0x03d18bcf, 0x25fce02e,
+    0x5de23d00, 0xa9602dc4, 0xb5bef76a, 0x78add9fa, 0x0903eca3, 0x0a4da5dc, 0x2e7e08c8, 0x35c347d3,
+    0xab6af30b, 0x40d02770, 0xfb141ccc, 0xf493ccde, 0x972bfb55, 0x5b2eeaca, 0x6d9a6ba0, 0xfcf62c7f,
+    0x674fec94, 0xa644c20e, 0x106e6aa8, 0xecf0ce10, 0xed281792, 0x0f021e48, 0xcf496833, 0x852ef722,
+    0x4be9ab73, 0x61ba5335, 0xb6e8fd63, 0xb3329cfc, 0xf2cda644, 0xcb366999, 0xe78c38bf, 0x453e53ed,
+    0x400aa32c, 0xa5418b5b, 0x09503bf1, 0xefe6f894, 0x1a96e064, 0x5bdccfde, 0x4f96ea48, 0x9bf7df55,
+    0x3bb8a834, 0x1eb8eed6, 0x18b072b9, 0xc8897d24, 0x8ecfa5ab, 0xa0c5e761, 0xdeaa3a73, 0xaf041128,
+    0x7cb3b802, 0x647ffdcb, 0x337ff3cd, 0x4fed3538, 0x8d7af025, 0xef30bb78, 0x403eebb7, 0xb46c80f5,
+    0xcaa1252f, 0x728b59d4, 0x0c408128, 0x33bcf3a6, 0xef15814a, 0xcd1e5671, 0x9ac6e835, 0xbec0dae5,
+    0x3806af71, 0xb1f69075, 0x6a4198fa, 0x3b82c8d2, 0x9ef147c9, 0x3879ba77, 0xcaae8915, 0xf8027d43,
+    0x7ebb416b, 0xbef53cda, 0xa606aea3, 0x95723d62, 0xc8698286, 0x53792ca3, 0x11eff50a, 0xa4de7816,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000748288838313422294120286634350736906063837462003712 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc9a, 0x4ea80720,
+    0x00000000,
+    0x92469a14, 0x9c7d24d0, 0x4d171d6a, 0xa057c5e5, 0x41267f3f, 0xafd9f17d, 0x9872bbea, 0x43c9757e,
+    0x067307fe, 0x015eeffd, 0x1c6a1f96, 0x6be8b8b4, 0x0b8c9d30, 0xc7bafdbe, 0xbeb72d6a, 0x0dbfc935,
+    0x9f65e1fc, 0xec7a3f1e, 0x0c3f0263, 0x24529b6c, 0x712cf709, 0xa46e0987, 0x0262f987, 0x091b3b81,
+    0x9fe1575f, 0x2d8cfb03, 0xb0e9b7e6, 0x36ae48b5, 0xef1eadb7, 0x894b249a, 0x7a64d2ad, 0x0ff1f326,
+    0x068c9775, 0x06a66926, 0x9315d668, 0x84f21657, 0x6c54ebcc, 0x2cbf9d6c, 0x199eb90e, 0x19bea18c,
+    0x7b281d5d, 0xe375f2bb, 0xc2dfdd58, 0x1fca953c, 0x831a2763, 0x63cc9dca, 0x9882fa87, 0x83de42ba,
+    0x5f01ed2d, 0x6adf0628, 0xdd670f9f, 0xd6aa77b1, 0x7ee1d43e, 0xf4a15357, 0x80ac2c10, 0x210d645f,
+    0xb6a9b7b6, 0x0e9797ab, 0x31c4466a, 0x0bdb666e, 0xe00f05c6, 0xc0836506, 0x4d50a1b2, 0x47b916f5,
+    0x4672ecb9, 0xbaac812e, 0x1f53a556, 0xda7aa497, 0x4c191313, 0x0a9f0ec8, 0x6208e637, 0xb50c61d8,
+    0xe686471e, 0x4096dc09, 0x6eaa753b, 0x8f33c727, 0xb1acc40f, 0x1bb86ca4, 0x148ab97b, 0x8585056d,
+    0x0d691d0c, 0x33c615d8, 0xae993d43, 0x93324881, 0x8883c9d9, 0xbbd7b840, 0x0ad17f1e, 0x3c7db90d,
+    0x5ea40405, 0xe24a0d5f, 0xd0fd9561, 0x1e6d2dba, 0x256fce02, 0xe97425d9, 0xa45751d6, 0x0c6bc643,
+    0x94a31a69, 0x63a220a8, 0xc1953680, 0x48d99e4c, 0xf00918d8, 0xb8c8064a, 0xab6995e3, 0x70928096,
+    0xf34aa0ae, 0x719cca21, 0x2be1de19, 0xc45e3643, 0xf074eaaf, 0x36a7fe2f, 0x54a00791, 0x8474dc32,
+    0xdd2b228f, 0x64988f41, 0x61d47634, 0x30d402d0, 0x34fedcc2, 0xae40aa84, 0x28a062fe, 0x516566fc,
+    0xa5c51864, 0x58de3201, 0x8b54eaa3, 0xf70d5366, 0x2faad0f6, 0xc88d2f03, 0xf1401a26, 0xea0e9e07,
+    0x3ff4debc, 0x38a194c2, 0xefafebe5, 0xed69f95a, 0x353c6ae6, 0x32ba7594, 0xd6975589, 0x1dc32726,
+    0xa814b6d5, 0xe3aa8118, 0xeb36fbf3, 0xbc4c8cad, 0x966c68df, 0xd3a174b3, 0x0d3abe6e, 0x874d168f,
+    0x06e8b6c7, 0xefc3b77f, 0xe130ba0c, 0x22e6ede3, 0xf0d59baf, 0xccf14313, 0x8a721b55, 0x9f1e5568,
+    0x8563c6e0, 0x1a49c344, 0x40f4a363, 0xc454ee92, 0x4003db60, 0x8de9fe2b, 0x214fc1fa, 0x72142a71,
+    0x52da4504, 0x5eb76fa5, 0x5103849d, 0xfc7b4773, 0xd229b85e, 0xc09f909f, 0x9c86b49b, 0x729d8dbf,
+    0xdbd67f67, 0x101a53ca, 0xe615a24c, 0xf5085c92, 0x2899b4aa, 0x70ac9517, 0x72b91e09, 0xe5ad28a5,
+    0x1eaad83e, 0xcb3ee610, 0x0dde8baf, 0x046e602c, 0x118f2c36, 0x2782172b, 0xc1ca3c86, 0xea198cad,
+    0x234cbe60, 0x8d1b332b, 0xe4033029, 0x8a4e7c26, 0x51338602, 0x9a12703c, 0xb94a150c, 0xfbeb7dce,
+    0x056df75a, 0x3300ecf4, 0x7d085b7c, 0x3d08d5e9, 0x45e0c685, 0x87c13dad, 0x46e77fca, 0x18019f99,
+    0x3fe0a165, 0x7fdf1a1d, 0xce01173a, 0x645bbed6, 0x2486207d, 0xbb91e7b9, 0x1dda6acd, 0xa2bff3e9,
+    0x95377a2a, 0xaa6d77b8, 0xdca38eb0, 0x4fdaa371, 0x7d02aad7, 0x21ce4916, 0xe84293bd, 0x9eaa33bc,
+    0x996b145b, 0x2085c3d1, 0x0d1b06a3, 0x17d2cf95, 0x65759a75, 0x0663f90f, 0xee67068f, 0x28705509,
+    0xd485c8fc, 0x2322d442, 0x3a52e995, 0x540f8d88, 0x3d995d41, 0xedf718d3, 0x3f00addc, 0xc6c56102,
+    0xb9d258a1, 0xd12d443d, 0x8506ea27, 0x1a1fa578, 0x6ecc04f8, 0x0cc0ecf8, 0xb43e6b57, 0x6c608214,
+    0xe05b3566, 0x1ec3858f, 0x01fa0c6d, 0xe61b11c2, 0x230ded49, 0xb4883724, 0x0ba6dc90, 0xdcfd3cc6,
+    0x370bbe61, 0x7eb60709, 0x3ea71a7d, 0x135c0ae3, 0xe3ae91c1, 0xfdc811db, 0x70a414b0, 0x209e4444,
+    0xe2ab00ad, 0x1c73b5fd, 0x8345ec07, 0x6dc9ba2b, 0x9bddb869, 0x1d2023b8, 0x5448224e, 0x3e4e1d7e,
+    0x6203a1d4, 0x6a6814f6, 0x8b55a849, 0x0fdbda74, 0x88e45534, 0xc5b3366c, 0xc3cd92a5, 0xbbd04cd5,
+    0x07406e2e, 0xbc3a43e8, 0xada54bf4, 0xfbed787a, 0x87e0bf62, 0xfe42d710, 0x78575275, 0xfead5717,
+    0x9dc4629f, 0x4d57dc59, 0x45212bbd, 0xeeefbe49, 0xc0bebee9, 0xd2f10307, 0xc7af41f1, 0x8a42d7cf,
+    0x4994f429, 0xeaa250d7, 0xeb9a59b7, 0xa51350fb, 0x11938dc4, 0x8f1fd7fb, 0xe48ed00e, 0x8bec0d6c,
+    0x437f760a, 0xa821ca04, 0x00d2cb10, 0x993868bb, 0x1182b5c1, 0x03083325, 0x9c64e71e, 0x201ce7c5,
+    0x59021f77, 0x63493e23, 0xf7333d61, 0xa576366b, 0x962839b5, 0xb0f239d9, 0x1b0d14e2, 0xbc917bf0,
+    0x395167e7, 0xac82b578, 0x09b4a3f3, 0x6fe10f84, 0x883b881f, 0xe9aa169e, 0x9e88ad8e, 0xc49b3187,
+    0xbad381fa, 0xd5e5c53b, 0x4875791f, 0x8af4e110, 0x957cc0dc, 0xf5afa364, 0x399e1458, 0xfbae33c9,
+    0xc0ff5ae1, 0x0d9efc11, 0xbfaeb348, 0x50c7aaba, 0xf789f45f, 0x450ff9e5, 0x3b2f132e, 0xa71ec493,
+    0xd934e4be, 0x7454031c, 0xdfb548e2, 0xd531561c, 0x1cb61d30, 0xd2cbe64a, 0xa0b32303, 0x26e89b7b,
+    0x27e80ab3, 0x1f5c678a, 0xf889c2c1, 0x2e754ec5, 0xb4890b44, 0xfc71997b, 0xa70b1afd, 0xbde472f4,
+    0x523aa6c8, 0xd9d0a325, 0x7ef311ca, 0xe97c0053, 0x92152707, 0xd8f6cb4e, 0x2821401c, 0x7452e3f1,
+    0x641e278f, 0x10910c8f, 0xbfeaa530, 0xd2726bad, 0x91e95910, 0x00206d0d, 0xfc4e11e0, 0x3ca7c693,
+    0x799f5657, 0xc33de978, 0x9cdadeac, 0xaddc82b5, 0x4530b4de, 0xee6cf764, 0x77bfdc88, 0x42aebd8a,
+    0x5398b186, 0xc8dc7d0e, 0xe6a2a095, 0x6a5e156d, 0xc0387bc9, 0xa27df7f3, 0x16f3170f, 0xe2b655ec,
+    0xc8c329f5, 0x78da5a05, 0x1f4dd9cb, 0x8497d45e, 0xc1d416dd, 0x778658d1, 0xeec78bb6, 0x63bf7fc7,
+    0xd6642afa, 0x7bef5d38, 0x4382876e, 0x6503c987, 0x5d971bc4, 0x419271fb, 0x5cee44e4, 0x00c90206,
+    0xbf1032c9, 0x8b0a96fe, 0xaf684d70, 0xc89d8580, 0x05c209bd, 0x140409cd, 0xe89184e0, 0xf641a7d6,
+    0xc104b8f7, 0x06618f2f, 0x448c8c24, 0x38a1e979, 0x8b904f69, 0x394ce19a, 0xf73a86d5, 0x6fff8d2d,
+    0xb39d8d75, 0x558ea4ff, 0x611bd641, 0xcdc5eb71, 0xfce983c8, 0x6ff5b90c, 0xc980dee3, 0x4d9b853c,
+    0x07013597, 0x341515c5, 0xbb081511, 0x1859ee9d, 0x83f090fb, 0xc27b2527, 0xe156b316, 0x0aab34f5,
+    0x7b4de8fc, 0x207e0a18, 0x0cd48064, 0x99b31942, 0x586b86d8, 0x2ee16007, 0x0c3c58d7, 0x7e6c0370,
+    0xbc46381b, 0x012c91d4, 0xc88730ea, 0x3e1bca8c, 0xcd1aee67, 0xce24bd2e, 0xf57e8253, 0xff8f74c9,
+    0x89389690, 0x49de4ca5, 0x9aebab36, 0xc092e517, 0xafae69a2, 0x6f3792d8, 0xe8997537, 0x621bce5f,
+    0x94b38072, 0xe8d3a838, 0xc471ac83, 0xf0172c3f, 0xed8d8fb7, 0x944ecb33, 0x76775b4f, 0xa6d5e983,
+    0x1523d450, 0x9b4b7f44, 0x52106064, 0x6dc70cfc, 0x73de341a, 0x62a835d9, 0x66a0edb6, 0xf2d8adb1,
+    0x2c981b02, 0x33e589f2, 0xff194d4c, 0xd2128c6e, 0x34c392c0, 0xfa776a5d, 0x6c52ab46, 0x09952b95,
+    0x6593f1e8, 0xb99e5719, 0x22cd00e7, 0x4e3885b3, 0x09ffc199, 0x3c899989, 0x8952dfa2, 0x58b144d3,
+    0x8a86af88, 0xac939db8, 0x33cbc600, 0x332492b8, 0xda841c8f, 0x3a3fd6d2, 0xd99519a7, 0x07e95801,
+    0x9e3bf3ce, 0xbe219385, 0x2e962502, 0x3b232c66, 0x61cff4ae, 0x200afc85, 0xc16b0cbe, 0x1bb9de79,
+    0xcf39764f, 0x89f912d6, 0x91990e5c, 0xeaae6c8c, 0xb3989a8e, 0xe5f36431, 0xa3f14e03, 0x2cf027b2,
+    0x65c3faf6, 0x991ae46f, 0x44a1fc4c, 0xc0678947, 0x5594cddf, 0x87666fac, 0x19cd9477, 0x16cb3144,
+    0x58f61302, 0xbf80871c, 0x536beb70, 0x68e2b879, 0x68a8ac08, 0x75ebd6ab, 0xf154e276, 0xc54598f7,
+    0x872247ca, 0x68aa61b0, 0xb6e7dbfe, 0x36d02fc0, 0x553e57df, 0x8e27286d, 0x1332f753, 0x6f99372d,
+    0x80afd0ba, 0x9a17a0d4, 0xebcf46d5, 0xb32c79e5, 0xde3cf4c4, 0x901393f0, 0x5e4796a3, 0xbdaa03b6,
+    0xd1389f0c, 0xd1d865b4, 0xc033dd73, 0x3054b5c0, 0x62e695ed, 0xd01888d8, 0xb806af96, 0x87e8f27f,
+    0x3f83d1c4, 0x0516652e, 0xbccaea9a, 0x9e573de5, 0x64dc6f9d, 0x264bcf1e, 0xdd1028fe, 0x87b96385,
+    0x723caca1, 0xe3345602, 0x586cfacc, 0x1bfec957, 0x613e9d4d, 0xed69f0fa, 0x3ece3249, 0xe30f1fcd,
+    0xebb5db48, 0x0a013541, 0xb594a579, 0x9189b350, 0x6afeaff9, 0x95371d7b, 0xb5be6f80, 0xc82b26f4,
+    0x7c3b9e05, 0x13f7e2ed, 0x84728f03, 0xf6fb8cdc, 0xadf33bdd, 0x61e6538d, 0x43d5cbae, 0x7355c2ef,
+    0xe792a846, 0xa400dafb, 0x528ccdf9, 0x32a7f9d3, 0xe07c7f17, 0xd29b167d, 0x5b75721c, 0x054b4ba4,
+    0x0da2e501, 0xd2742497, 0xc4fa6bbe, 0x0777a49c, 0xf7cf03dc, 0x542c4302, 0xd667433b, 0x67d430a9,
+    0xbacc2d0a, 0x8f782cd9, 0xadc2b66d, 0xad52cdc6, 0xfb047f37, 0x5ef1e4cb, 0x8fe8a208, 0x8044435b,
+    0x7fd531ab, 0xe10a6b1d, 0xf8d69dbf, 0x263ca0f2, 0x97140a50, 0xec96064f, 0xa09de518, 0xf6032cd6,
+    0x676b648d, 0xb2510232, 0xfa7e8559, 0x0c0c7ce4, 0x2cac2c86, 0x407b22a9, 0x26bdc94f, 0x023393ff,
+    0xfb4f6269, 0xd58ab68c, 0xa62e3a05, 0x4e60dfea, 0x2860e503, 0xd581ca39, 0x53472be4, 0xb0bbdf17,
+    0xd3d1cae9, 0x378e0aba, 0x865ab781, 0x2b681c8e, 0xc8766255, 0x63785b3e, 0xd96ed77e, 0xf043f244,
+    0xa462d53c, 0x674cf2f5, 0x86ac7855, 0xd2d56ac6, 0x3b207936, 0x30fd169a, 0x95ee7924, 0x692653ab,
+    0xecc4a69c, 0xba0cb08a, 0xaf1f3236, 0xb019e006, 0x03515ee1, 0x9b3d572e, 0x68b05079, 0x98cbbc7d,
+    0x72da80e0, 0x62651921, 0x24fad070, 0x79dd23b4, 0x3f5370a5, 0x6a637be2, 0xb98d1ae0, 0xa59daa8f,
+    0xfe28087a, 0x491f395e, 0xe1eca571, 0xf1800613, 0xc6eea2d6, 0xf9b0c0d9, 0x6e5a7215, 0x038e8bae,
+    0xd1253750, 0x72cad11c, 0x792cec2c, 0xdff5b82f, 0xd5aca7f7, 0x90a1d9e3, 0x67481af3, 0xac2899a2,
+    0x4f3f5b0f, 0x6e244fb5, 0xa85ffcc8, 0xe4cf8d05, 0x56515aa8, 0x85206f60, 0x7ddcfaa9, 0x73a41eb0,
+    0x76352b79, 0x3c7d997a, 0xe34a0f88, 0xaa0a20c6, 0xbc8728cf, 0x1209a1de, 0x02a2b7fc, 0x5a4bb65c,
+    0xe962bab7, 0xf11c64a9, 0xa7640c2e, 0xae1823d7, 0xb2f9727a, 0xe8ff18c9, 0xe5953553, 0x4221a6a8,
+    0x476fc96e, 0xc4690972, 0x0417ccf6, 0x79271efa, 0xc456f554, 0x5b2546a9, 0x1ce2caab, 0x307fd197,
+    0x8e0a17bb, 0x9f327c8c, 0xc89ec84a, 0x05565848, 0x85e8f3e9, 0x6956b2a9, 0xe41ab7d4, 0xea858034,
+    0xe1d5480e, 0x12f2107f, 0xfcd6e1c5, 0x07930b77, 0xb6dc3ff9, 0xdb94ba33, 0x6b31be0c, 0xc1051a96,
+    0xc83fe5e1, 0xd52a7160, 0xe50a31a1, 0x0db06d3d, 0xee5a6fbd, 0x6c64de4f, 0xf2a07eba, 0xe8fe314f,
+    0xd745ef73, 0x67b05cd9, 0xbf617a4c, 0xb6335a00, 0xfe482562, 0x499dde28, 0xecaef6dd, 0x3d1d123e,
+    0x8a5484f2, 0xd02a4c0b, 0x2c491fa6, 0x714522e6, 0x10b1ce09, 0xdc75be64, 0xefea5c52, 0x448f1e6d,
+    0x908a96cf, 0x4d43a8cb, 0xe33e5f95, 0x1da4934e, 0x6ecce200, 0x1714833e, 0x9c4ea085, 0x3e6fe260,
+    0x7637f4ba, 0xb9835d4e, 0x7a107b4c, 0xe2e78dbd, 0x1b372a1d, 0x76475878, 0xe749b4d3, 0x013a76fb,
+    0xda8008eb, 0xa5023140, 0x3c09884d, 0x0822fccc, 0x9eaf727f, 0x6ba6bb8a, 0x4a165e61, 0x649df00f,
+    0xf640964c, 0x73f60814, 0xdfbdd3e6, 0x43541836, 0xfc65906e, 0x4e8fbf20, 0x555c29ec, 0xc51039d0,
+    0x01ce1677, 0xa2513722, 0x7a13484d, 0x3c0aa09a, 0x0576e084, 0x2d83498d, 0x14b4ac47, 0xd9c2d75a,
+    0x7fb85219, 0xdec962b7, 0x1d614846, 0xaa8c4e2c, 0x86c7d3ca, 0x76c0462a, 0x062e3d81, 0x302e082a,
+    0x7b83c2c2, 0xa46b3df9, 0xf8af686f, 0xbd378b84, 0x775c3034, 0x4c6a98c3, 0x2f463aad, 0xc89fd74f,
+    0xe5c7f242, 0x603e0a87, 0xcd88a53e, 0xce4429bd, 0x81e60aca, 0x20ccb052, 0xe09747cf, 0x77cb00b9,
+    0xed3a5030, 0x33f6679a, 0xd27c86d4, 0x5abe56c5, 0x9a820f1e, 0x1585ca5a, 0xa83300b6, 0x6bd06a6a,
+    0x8f5ff2ed, 0xee7acb78, 0x42aea9bd, 0x31cdd6cb, 0x8b4539ce, 0xd9273e54, 0xab81bb65, 0xc55094cb,
+    0x11c1e720, 0x09030d03, 0x71d47943, 0x02d3fda9, 0xd26227a6, 0x0f5e4257, 0xdba3f591, 0xe2638ec9,
+    0x35a04056, 0x808f60ff, 0x7fc38abd, 0x506a2eb9, 0x68689f65, 0xb842b101, 0x7332ea04, 0x26bc3a49,
+    0x31bc3c4e, 0x3d2a9958, 0xb0065e7b, 0xc935140e, 0x5867d9c6, 0x184d5538, 0xd278f14d, 0xf4cf1ed9,
+    0xc2ae7468, 0x64fc5fae, 0x0e215d29, 0xe785c90d, 0x276c6a7e, 0x76b68367, 0x973f9a60, 0x3cce8c37,
+    0x9e47508e, 0x93d64b2b, 0x2375b2b9, 0x0102cb70, 0x5290f46e, 0x58082bae, 0x4b87f3b5, 0xb8901735,
+    0x4eeac7ff, 0x798b1bf4, 0x81bb0257, 0xcca62050, 0x1c3246b7, 0x4067a28c, 0xe5f526bf, 0xd19e3fc8,
+    0xef6cf0ed, 0xc13e7283, 0x8eda007f, 0xbde26eee, 0x0fa46944, 0x6dae461e, 0x9de4a3d4, 0x9b9a5afa,
+    0x8866e2c0, 0x5af2ff82, 0x1d406667, 0xf3671ae8, 0x0ad7e3b3, 0xb759b2eb, 0x9cfb9f82, 0x148dd8d1,
+    0x4723e2b3, 0x2bce6dac, 0xcf73eec5, 0x137a028d, 0xdc172000, 0x7e47ae5a, 0xdc48e591, 0x1bb425f4,
+    0x3c67550d, 0x41b5ae6e, 0xed45eaf8, 0x8547a445, 0x95965594, 0xdbd46df1, 0x980a3835, 0xb2f848f9,
+    0x65475d84, 0xb0d3a447, 0x907bc397, 0xea4d4d07, 0xecff1a96, 0xc4208ff4, 0x985022c1, 0x8530a6a7,
+    0x23d27a48, 0xfaa03352, 0xfa293ad2, 0x7bca5a1a, 0xd657807d, 0xf347572d, 0x7d79c340, 0x54009756,
+    0x742ca5e6, 0x75a0084b, 0x3662427a, 0x700a42c9, 0x31f0de13, 0x6160ab4c, 0x6b4c07b6, 0x38f62bb5,
+    0xbe844754, 0x51f2552b, 0x3897a3bb, 0xbe551613, 0x2424c411, 0x3c48fecc, 0x51d380ec, 0x5369cf2a,
+    0x2e6f2da2, 0xf1366fa7, 0x4304bced, 0xcbaa2788, 0xbd2c940b, 0x0b7de795, 0xf4fccdbc, 0x63e0a42a,
+    0xcf090b83, 0x5c47f363, 0x2e951b9c, 0x621b14a9, 0x7a8182e0, 0x310e514e, 0xae44c9df, 0x297be8ac,
+    0x9253d589, 0x5c9fa53f, 0xc2030260, 0xeb99bd6c, 0x69b26559, 0x974b1bf0, 0xbfb83213, 0xa237aaeb,
+    0x43ed461d, 0xe8eea4de, 0xe5997c1c, 0xf627f6c4, 0xb451e8f8, 0x55d5a7b0, 0xe57d3861, 0xa949a035,
+    0x49004f06, 0x7fed17f8, 0xb253e94d, 0x02caed91, 0xdd3ee960, 0x0a271c69, 0x4d27d54c, 0x7b42ce4a,
+    0x46160a5e, 0x01c820cc, 0xbed10413, 0x950e2695, 0xeb602ebb, 0xf2160d30, 0x18319350, 0xc7d6835a,
+    0xcf20afad, 0x426b1e96, 0x88b3db9b, 0xe7bc7779, 0x8e674034, 0xf025191c, 0xf1931735, 0xe5fa091c,
+    0xbe098de2, 0x5a0c7db3, 0x70132424, 0x552d4bbe, 0xabef1008, 0x933e68cc, 0xad4fb524, 0x5eea5c81,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000374144419156711147060143317175368453031918731001856 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664d, 0x2754038f,
+    0x00000000,
+    0xc182e0f1, 0x000c3df4, 0xa29804d6, 0xaae93bd7, 0xba2b0f01, 0xb5cc612a, 0xd390f189, 0x2abf91b1,
+    0x8db3a0ec, 0x67e8130a, 0xc5787c5a, 0x7830a08e, 0x4c362292, 0x4ed5f6b7, 0x6497db89, 0xb58981c6,
+    0xa8e818d6, 0x31536a42, 0x47f2e1b4, 0x0fdb0335, 0x96ac09e8, 0x8329da02, 0x3a2cb570, 0x0e7b64c2,
+    0x95f57654, 0x2af5f250, 0xa3eadbda, 0x6a4847fa, 0xd740204e, 0x9aa72ce1, 0xd1ef0ba9, 0x54e1f355,
+    0x969fbbcd, 0x8e4a840b, 0xf1ccc9f1, 0x9469649c, 0x2e90537f, 0x6dc1a022, 0x09d1d709, 0x33f7ca11,
+    0xd5467d47, 0xe88e5303, 0x051e3636, 0x9bd875f5, 0xbe367548, 0x38ccb510, 0x5349e413, 0xdc037b7a,
+    0x50311b0c, 0x2ffd62a2, 0x58eefe86, 0xaaf7ca33, 0x5d06b597, 0x214cd581, 0x25633536, 0x1c2f9f3d,
+    0xa14143b0, 0x8f3e22de, 0xe6ba8dbb, 0xce201864, 0xd4572b8d, 0x43f9bbc7, 0x11f55cd8, 0x7cec4655,
+    0x01783e58, 0x0ac6debd, 0x5aaa72f3, 0x17ae5724, 0x61d0e66c, 0xb045b580, 0xe3b63285, 0x8f74956d,
+    0x668331b3, 0x12b664eb, 0x37fbdc36, 0x4f7afffe, 0x02bd239b, 0xc744be8f, 0x0301fcc8, 0x17388de2,
+    0xebf8b7da, 0x1dbe44ac, 0x5efd7675, 0xd2f237ed, 0xcbc7bf76, 0x3c4d6bfd, 0x15b06cc9, 0x9490ff99,
+    0xbf1ca186, 0xd71c0010, 0xd17631c4, 0xd47b26d4, 0x34fc41eb, 0xefca092c, 0xa0238a90, 0x7a038131,
+    0x9ad7f9f2, 0xe83cc229, 0x92a7d242, 0xeea53bf6, 0x1e637359, 0x2a19acbd, 0x14bff5ec, 0xc173a37a,
+    0xbae957c2, 0xf2540755, 0xa576d1ed, 0x33fa5bc2, 0x0624eab2, 0x4550a137, 0x03d265ea, 0x695d8b45,
+    0x26ca5d4b, 0xa50a562d, 0x749c2393, 0x795a70aa, 0xc8fb32cc, 0x469d75c2, 0x06effcb6, 0xa9a8d6a3,
+    0x5590b3d3, 0x24c47e23, 0x023a93f0, 0xc8eb24b0, 0xc762e95d, 0xf5b1c5e7, 0x08ec3c25, 0xca353f95,
+    0xe73247dd, 0xbdde3e90, 0x133f3c02, 0x158fac65, 0xbce61dc2, 0x3ca094be, 0x83e9ac7a, 0xdb29bb55,
+    0x534846c5, 0xc1cc0bd1, 0xd4b157cb, 0x6afdbd75, 0x94b9e4b5, 0xd3aea8dc, 0xb96279f2, 0xfb338dec,
+    0xd428ab20, 0x7b57c978, 0xf95e85ab, 0x7fa4ae2f, 0xab1dea1d, 0x9562586b, 0x50dba8a8, 0xecec66a1,
+    0x741f0fb9, 0xa7ef4383, 0x0ff89ed9, 0xd2b00e4e, 0x11e7ef3f, 0x5cf8b6bf, 0x777068bf, 0x5b6e7c5a,
+    0xf6e127a4, 0x52fd31be, 0x47137e5c, 0x5aa0b5c1, 0x5cd71963, 0x3fc84089, 0x9cecea27, 0xe01f22b2,
+    0xc9fe0fd4, 0xa475313c, 0xfba816d2, 0x9065259f, 0x32d72244, 0x1441f04b, 0x448ff789, 0xe44ee282,
+    0x71bd438e, 0x9851cd33, 0xb27e2a7b, 0x1ae8994a, 0x2c9a7e4f, 0x36ce6b42, 0xfd331b30, 0xac9a86c9,
+    0xf809f842, 0x3f44ce1a, 0x19e01e34, 0x6607d7cd, 0x68f86d41, 0xbea1e365, 0x0c8e29ab, 0x6ace2ead,
+    0x3e8cb376, 0x8ddb04dd, 0x449f9e06, 0x056789ce, 0x8af2deb4, 0x6972eb55, 0x09468003, 0x45f7a3b7,
+    0xf1a37f83, 0x3f1c153f, 0xdfefd618, 0x1dbcdd46, 0x30474df6, 0xbe65c53a, 0x9cefe890, 0x429c2921,
+    0x6bfbc340, 0x6b58511e, 0x0e33a1cf, 0x63c2f8e4, 0xde3cf35a, 0x0e16eb1d, 0xf37cd4e3, 0x80a80da4,
+    0x8cc1238c, 0x17e64325, 0x12401717, 0x3cf0711a, 0xdde9e14f, 0x1fe05dc1, 0x49176549, 0x61495327,
+    0xb7baa312, 0x4b83b5a0, 0x981faf71, 0xb5070238, 0xb9b7a036, 0x3229d57f, 0x3f045170, 0x68e8e29d,
+    0x26982521, 0xfc39f17e, 0x2064394b, 0x22e33bb3, 0x79820ef6, 0x2c84527c, 0x433362e5, 0x0ad28461,
+    0xa46de88c, 0x764a9ed8, 0xd6f739ac, 0xe8990796, 0xabafee93, 0xb9d115f6, 0x376e9c1b, 0xfa415066,
+    0x674c3f57, 0xbc5957fa, 0x8589dc4b, 0xa38eb5c7, 0xdcf6852e, 0x92985e45, 0x5dc19638, 0x6c404acc,
+    0x32b8bbb4, 0x8b126e80, 0xa78b6cdf, 0x81e935c5, 0x69829334, 0x45b72150, 0x8d100da7, 0x920c9097,
+    0x244451ad, 0xc3be4dad, 0x181e4c22, 0x5958778b, 0x15c2c329, 0xc591f764, 0x1bbd98b5, 0x8aa42266,
+    0xf414b55d, 0x74d0f437, 0x64da5263, 0x689fb803, 0xdb8bc99f, 0x35d244ae, 0xef93bbef, 0xd731e730,
+    0x2fded2b2, 0x814dac98, 0xcaec4060, 0xfb1da841, 0xbbdde9af, 0x493012d0, 0x28daff7e, 0x397c26d6,
+    0xadff3d06, 0xb09c17e5, 0x6c7fb71c, 0x7a664230, 0x2d0714e1, 0x1189e02a, 0xa4c9ee0d, 0x76b4f17c,
+    0x6812b097, 0x0386fc28, 0x8fda1579, 0x7f5f3ba8, 0x07440e31, 0xdb0a812c, 0xd1e2d136, 0x36389199,
+    0x08b57ddc, 0xe54bfc75, 0x27b5df9b, 0x318ced14, 0xf3e36101, 0x4bef9fed, 0x37e006e9, 0xd60a7b2a,
+    0x6ef795d7, 0x4eb3ba28, 0x450dbd46, 0xbc5be6f2, 0x55ce9640, 0x0d2b7f7b, 0x3bb1db3b, 0xa3dd0093,
+    0xf43360b2, 0x1b6b1b16, 0xa76645e1, 0x5307be40, 0xa3ec8a82, 0x52a9205e, 0x0caf5e03, 0x12a7903f,
+    0x2f0573ef, 0x33cc352f, 0xd7804909, 0xa04378f5, 0xa63e9000, 0x096d7f48, 0x4d350545, 0xcc8cbc67,
+    0x3fb341be, 0xfcb232f4, 0x24b27daa, 0xc2edc75b, 0x28814327, 0x55251b2d, 0x24bb3a8d, 0x4fc92d17,
+    0x58c9ab09, 0x1fb91346, 0xc7a30e6d, 0xa6213e09, 0x4e3a8a08, 0x393cf5d8, 0x9aded20f, 0x2474c137,
+    0x923e9bdd, 0x6897d8fe, 0xfc00cba5, 0x37f14611, 0x0ad42393, 0x2994e2c7, 0x395e7199, 0x7686d67e,
+    0xd423836c, 0x180af30f, 0x67f34bb1, 0x0b6d6ee6, 0xc0422c19, 0x8916e030, 0x34f81d54, 0x95cd59ac,
+    0x6501e7ca, 0x2de14b81, 0x3027baf6, 0x4cf8d14b, 0xb44fa1fc, 0x898ee9a2, 0xf19994d1, 0xdaaef268,
+    0x24ff15db, 0x06368d10, 0x0edaf3ea, 0x35be0348, 0x25abd0fd, 0xa79c99c4, 0x02cff5c2, 0x578a401b,
+    0xe2286f6d, 0x91037da8, 0x0f0565d6, 0x28e60883, 0xe8148a85, 0xce97f271, 0xbab8ff11, 0x7766c69a,
+    0xe287a473, 0x8c69adad, 0x04b70c23, 0xb4360860, 0xe7bc598f, 0xe99b99f0, 0x4f9344dc, 0xe27648ef,
+    0xbe2c1223, 0x4dce27d0, 0xc0cb4815, 0x6fa236ae, 0x2d14f376, 0x30289e0f, 0xe5a571db, 0x885416d5,
+    0x624151a7, 0x48b0cf09, 0x45690e91, 0x3104f33d, 0x9c754385, 0xeff45aef, 0xfff161e8, 0x0bf5340e,
+    0xf5d996b4, 0x879e8902, 0x82400cc0, 0x555cc4db, 0x947b6753, 0xff9dd3ce, 0xb2865a04, 0xd3f517bd,
+    0x2fc512d1, 0x20641ce2, 0xc88ab10d, 0x150ae976, 0xaaa114a1, 0x653e3fb4, 0xe4131486, 0xba1e9ab5,
+    0x7ad3480f, 0xf1576a6b, 0x0fd271bd, 0x2b2ef7ae, 0x33f6b9ea, 0xb3a29dea, 0xb49053f8, 0xfdbc743a,
+    0x7008500a, 0x0e7c9af7, 0x41e5c0f8, 0x38bc612f, 0x9bcd599a, 0xe44c8809, 0x54e1d41d, 0xaf406bca,
+    0xd87105f3, 0xe3346b3a, 0x2502f913, 0x18754b58, 0x2a21dc07, 0x0fdf09a3, 0x0c7d1ba6, 0xe7bef00e,
+    0xa8835022, 0x34928638, 0x03ce64c6, 0x7ccf4e7c, 0xaad8c75b, 0xfe160e77, 0x2704cc5f, 0x12aff5e4,
+    0xbc695819, 0x414e67b1, 0x36ad0f9d, 0xde8186ef, 0x1d55091a, 0x0b25aafe, 0x5cd7366a, 0x7645b2f7,
+    0xa43212d4, 0xfca1bc6a, 0x7e5b98fa, 0xc82874c7, 0xd6d3596f, 0xa6fdcc75, 0xd1e8b898, 0x2478dae6,
+    0x6c035e13, 0xa08cf881, 0xe7b5ad88, 0xd6550be6, 0x90ef8d31, 0x831afab3, 0xcea29134, 0x0a8e68ad,
+    0x2c52864c, 0x77001048, 0x3282fa1c, 0x7c362b1d, 0xc12f619d, 0x0d30dbf7, 0x61742173, 0x8c2b5a4d,
+    0xba3d73af, 0x18f8a8e3, 0xfd4d5da1, 0x6caf3a5c, 0x8898a32b, 0xabb138d3, 0x6faff7ce, 0x3f5d37ba,
+    0xa93bd1e7, 0xfa0ad2dd, 0x3e49a2d7, 0x06a3bca5, 0xf52216ea, 0x1cbd7827, 0xdcf047a0, 0xf5cec962,
+    0x863a3e7a, 0xa3505729, 0x9990b008, 0x86ceb619, 0x39faad69, 0xfb3214b3, 0x3a0aa96f, 0x0a9dc253,
+    0x6cb571c9, 0xbc56b715, 0x3edabbc9, 0x8d953bae, 0xc3f5b41a, 0xba633016, 0xa947baae, 0x0255aec2,
+    0xcf76bb1a, 0x5e61b798, 0xaf668331, 0xd29b1703, 0x5b69136c, 0x100deb67, 0x1282a192, 0xc9c66dcf,
+    0x27ab868d, 0x04bc707d, 0x1d928034, 0xeb489621, 0xe52d6655, 0x5838bc89, 0x8ac747bc, 0x04213669,
+    0xef685f52, 0xe9ea2a47, 0xe6927f3e, 0xd8b42ea9, 0x06e60c1e, 0xe2923434, 0xdc5f0e8c, 0x96ec434e,
+    0xeb0fca52, 0x94bf2079, 0x7c7b4764, 0x109fbf34, 0x371069e5, 0x4e8ff0f6, 0x56e1fe67, 0xcfbe97aa,
+    0xcf1cabe9, 0xfabd733f, 0x6958b81a, 0x16c167c2, 0x609f7c37, 0x88111ada, 0x728e23a4, 0x745a19a9,
+    0xe3a2e239, 0x2bc720e6, 0xd0818d77, 0x80fd9e13, 0x7ff7d7c4, 0x98414fa4, 0xa74f9987, 0x6311930f,
+    0x953e7938, 0x11f22cb9, 0xd80f285b, 0x3e7163ee, 0x924a3991, 0xe86bebcf, 0x6836dda0, 0x823073aa,
+    0x94ef8989, 0x04927aa5, 0xe6f2f43b, 0x24ad5db3, 0x3f91922f, 0x10fceb40, 0x56f3ac6c, 0xbf2310fb,
+    0x116ebda9, 0x68a1f48b, 0x2e3c1e8f, 0xf5a3b4e1, 0x0184a4fe, 0xb34023c9, 0x8bb865df, 0x6908b77a,
+    0xe68aa4bf, 0xcec7eacd, 0xb3128c64, 0xb227b950, 0x83018a32, 0xe7240cc3, 0x6fe7310e, 0xd9df5f23,
+    0x304fd559, 0xdc6da71f, 0x4d9b1055, 0x4194f6ef, 0x6dbfd70a, 0x363ca55a, 0xac488031, 0xa2d06083,
+    0x7a4cb89f, 0xce3995c2, 0x8a2672af, 0xeca0071b, 0x6804de05, 0x4029a899, 0x9150dff5, 0x8096aa77,
+    0x05627ea3, 0x16481b06, 0xccc8ed33, 0xc951e504, 0x5326c8fb, 0x0d7b504e, 0x244e3901, 0x49e85631,
+    0x321e0cf7, 0xf915241a, 0x2566b8a9, 0x545e4a35, 0x5c2b3f90, 0x628ba5d8, 0xd074eeed, 0xd780128a,
+    0xd12df03e, 0x8fae09e4, 0xb88f4fe1, 0x3a75c96a, 0x910bb453, 0x3094bd39, 0x97098cb3, 0x36ed6b72,
+    0x498a96c3, 0x0eb8d633, 0x07a012a6, 0x23ba865b, 0x17113091, 0x75a9dde6, 0xdc38a1fa, 0x4ed9195a,
+    0xe4ff06ba, 0x8cb2ef0d, 0x5de77288, 0x882a1d64, 0x1ee67d08, 0x4a1779a5, 0x17303593, 0x75b44d2f,
+    0x5348f8ed, 0x14867b5f, 0xdce48c0c, 0x383fe961, 0x32822ab9, 0x4b78e1c1, 0x339d5e0a, 0x472e2d15,
+    0x09f6e075, 0xe1c99ee5, 0xc33a3047, 0xe38245dc, 0x00b7ce65, 0xe87055e4, 0x587cded1, 0x72b34a7f,
+    0xc67bbc5f, 0x3911ae01, 0x9a711399, 0xf92db375, 0x145b5f1e, 0x2d85c6bb, 0xedb648fa, 0xe74cd631,
+    0xbaa061b9, 0x0bd0ad34, 0x25038c0e, 0xfbbe36b0, 0xd3d0ddc1, 0x301669f7, 0xd5ebc8cc, 0x9aefbfe4,
+    0x4431a366, 0xcbb9b3a0, 0x6d27e34c, 0xe1e72829, 0x293e2f81, 0x96e879ad, 0x5d481cd6, 0xb15f1ef2,
+    0xef21bec6, 0x9477b3dc, 0x04f18dde, 0x670d65c5, 0xab5b285a, 0x7ae00c3d, 0x81ece958, 0xcd5d0fd0,
+    0x83c93a63, 0x090f8b16, 0x3160d438, 0x4298bf40, 0xf5435a7d, 0x6a2d2479, 0xdc6dfe85, 0x7e47287a,
+    0x99879c0d, 0xc3ca1e11, 0xb879739e, 0x8b35bb8d, 0x99e80fc3, 0xf0aea73b, 0x08a74013, 0x48380955,
+    0xe88208f3, 0xf13dbb5c, 0x60892c7d, 0x4610d50b, 0x6edf531d, 0xf294d299, 0xe91f8129, 0x7f246e0b,
+    0x79c78e3b, 0x1a514665, 0x2ca505d8, 0x237c9da0, 0x4d96015a, 0x942a2e38, 0x2c6bac1e, 0xa0751f0e,
+    0xa1795159, 0xe7df7ad2, 0xc9bfd4f9, 0x98f4194e, 0xa1a1110a, 0xab882f06, 0xd0da9c26, 0x9bc2144d,
+    0xcb7c76af, 0xda6139f3, 0x723976d9, 0xbe0ff005, 0x1915fbbb, 0x0d5fbde5, 0x8d7316fa, 0x13847542,
+    0x516f30be, 0x4efb8e34, 0x340db036, 0xf74c1503, 0x32203def, 0xb0da5c89, 0x9229fc59, 0xc1bcfaac,
+    0xc5bcc942, 0x469a9590, 0x3d5c3e60, 0xef2d7707, 0x53400cc1, 0x9988533f, 0x7c979a48, 0xe2b45ed3,
+    0x86316e01, 0x29dc07bc, 0xc3f0bf96, 0xcaf0fce1, 0x6e4f6f18, 0xe6c22f75, 0x72fb9d7b, 0xaf191561,
+    0xd1b0d451, 0x15de02ce, 0xa1813625, 0x27a6d934, 0xab7024a9, 0xf4a57786, 0x8031c348, 0x0d1e4c12,
+    0xf49211b3, 0x25462451, 0x91baff7c, 0x0e08e2ae, 0xc1b54347, 0x91f4d346, 0x67569ac5, 0xdc47cac1,
+    0xcdc3fa95, 0x7e038793, 0xa1192192, 0xd5e20455, 0xf34b3618, 0xc8bc514b, 0x60211c03, 0x438e9d96,
+    0x1ccfa458, 0x99110abb, 0xa300a73e, 0x6b08b7dc, 0xbee1634b, 0x3709b8a8, 0x6c754813, 0x80c13d44,
+    0x3ff749d2, 0x06d146de, 0x5c3025e6, 0x5de369a1, 0x3c499c3a, 0xdc40808d, 0x0862f567, 0x3e6252f6,
+    0x7b767cf7, 0xa372e0e0, 0xad0ff8fd, 0xebdc0d65, 0x0fb4169c, 0xd7c1e063, 0x8b822d6d, 0x7255ee85,
+    0x68834d5b, 0xe59be7e7, 0xd13b0630, 0x3e9becb1, 0xa3ecef84, 0x39d59465, 0x2357639f, 0x36505cf2,
+    0x78a75ac4, 0xa3d0b00e, 0x6243ef6a, 0x6ef26dac, 0x6c5d1176, 0x92041f92, 0x2dcc47b0, 0xfe5d52df,
+    0x62e0e29f, 0x708a356e, 0x839b38f9, 0x5603452e, 0xd93f43f2, 0xe107e9d3, 0x3ebb8b5f, 0xd596a22c,
+    0xa79bf0b9, 0x6d2184db, 0x33a43863, 0x01358dbb, 0xb6035285, 0xb335bf8d, 0x28b70666, 0xfdc7bc1a,
+    0x3aa792af, 0x9e87756e, 0x16adb29b, 0x4ff3eb33, 0xcf25b878, 0x49c34b21, 0x8bb7e8f2, 0x8adba3ab,
+    0xa7a9e807, 0x3a7008f4, 0x0d3cee64, 0x65d22e26, 0x5a5c7e73, 0x855d1ec4, 0x736a23d3, 0xbcb77ea7,
+    0x798d3270, 0x35f40ff3, 0xe4551efd, 0xe8f2b505, 0x28637ab0, 0xd661a1a5, 0xad7f6a95, 0x37e8c7c7,
+    0x9f30500f, 0xd3f7d60a, 0x83c9b240, 0xcae0a5ba, 0x6feb56ca, 0xc9a0f213, 0x84c3ab0d, 0x23375b57,
+    0xe03374ae, 0xfc4afeae, 0xf85a420c, 0x1dc548e7, 0x79079eaf, 0x1a8c5dcc, 0x1b8687bf, 0x90c97a43,
+    0xb8ceb31d, 0x90bf5cd0, 0xc4b5b292, 0x5f2e55eb, 0x35fc9d26, 0xaa4466f8, 0x1a36c24f, 0xdc43e34e,
+    0x7c4574ad, 0x2cf3eaf6, 0xee849092, 0x9c6ad546, 0xaa327695, 0xb10fb02d, 0xc23a5201, 0xbdd89e62,
+    0x4585a0a6, 0x6c0ccd13, 0xb40303e4, 0x19759e6a, 0x1b88466d, 0x0a05b87f, 0xd6bbacd8, 0x76b6a83a,
+    0x64744ca8, 0x49fba406, 0x5bd06604, 0x2dcedeb5, 0x86f90414, 0x675ce99d, 0x8a435c78, 0x44424f3d,
+    0x46bfb4a1, 0xf011278e, 0x0e63684f, 0xffc5e5b5, 0x78df1911, 0x38637759, 0x3147c643, 0x4527b9b6,
+    0x0ed3c18b, 0x823bd49e, 0x19a77d42, 0x1ae979e4, 0x4949bbee, 0x8096fdec, 0x0ebed5a6, 0x6c2917f9,
+    0xf645a667, 0xcdcea3aa, 0xbba26ba1, 0x329f2bb0, 0xde51861b, 0x53b29ec3, 0x3726613b, 0xcc27f46f,
+    0x1c503f2d, 0x339b43a0, 0xd426bf78, 0xd32dd1be, 0xb84424c6, 0x352c2961, 0x9e5c2b72, 0x342c0d5f,
+    0x6fffa08b, 0xf0d9207e, 0xef2a0151, 0x79747005, 0x7c6ee141, 0x17fa6aa3, 0x081cfe48, 0x7c2194f6,
+    0x40866e41, 0x15f5216a, 0xc8db4a9a, 0x5ceaabc9, 0x9f71f3c7, 0xc5e04216, 0x32e987a4, 0x5a191970,
+    0x657aa087, 0xa4602260, 0xc2da4eab, 0x38af6cf8, 0x3aa408b6, 0x817786e1, 0x2a7df635, 0xe7eb7ef1,
+    0x6fce29cd, 0xfba65250, 0x706d1f91, 0x4a458e5a, 0x3db9df73, 0xa4bc7b9c, 0x63a06299, 0xdfa06efe,
+    0x15881998, 0x686e96bb, 0x938b215e, 0x374cc477, 0xe4ea906e, 0xa8d48389, 0x3e3ca6e0, 0x620eecec,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000187072209578355573530071658587684226515959365500928 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b326, 0x93aa01c7,
+    0x00000000,
+    0x9d6212ab, 0x5fc23fa5, 0xab5beacc, 0x02baeb6a, 0xaa152566, 0x18d75e6e, 0x8dd03eff, 0x4476ac37,
+    0xb6fab873, 0xcdf59ce4, 0x6e575df4, 0x0c069f0e, 0xba0d292e, 0xbe79611c, 0x7a25e4dd, 0x1c93fe90,
+    0x29d3ec31, 0x1fa75f83, 0x52ac47ef, 0xdcbc0b5e, 0x5b7b8071, 0x40b9e538, 0x78d7fb6b, 0x74bf8172,
+    0xd6a89424, 0x3d2724ba, 0x67acd213, 0x20ced1cf, 0x3f3bc578, 0xe2096485, 0x1541b522, 0x309b7e12,
+    0xda015324, 0x5550718a, 0x4d960b3e, 0x02213361, 0xec5bcb48, 0xced717a2, 0x591b032f, 0x5ad725c5,
+    0xce53817b, 0xbc472c15, 0x818638c9, 0xd017e52c, 0x2a507c36, 0x35965173, 0x217ce326, 0xbd2dde72,
+    0x9b796367, 0x3d4e8b87, 0x2bb519b3, 0xa79e35e2, 0x266bfae5, 0x8b20ddb9, 0x56ff7bcc, 0xec2acf40,
+    0x816db501, 0x67692fbd, 0xc744bbdd, 0xb249d2c7, 0xba7c1ca2, 0x0b5d13e9, 0x1f149ffb, 0x18d76c5c,
+    0x7af3520b, 0x6ab0de5b, 0xbfd4c425, 0x304c73fe, 0x2e087a3a, 0x7a1bb721, 0x446d2e92, 0x0fe3f6b1,
+    0xd2da21de, 0x5da52a53, 0x4bbcb3fe, 0x317748c2, 0xbf7bd626, 0x0f6bf434, 0x8b44b8de, 0x2bad03c7,
+    0x4ad247ee, 0xea46e75d, 0xd3517b5b, 0xac4f4a62, 0xd9cc4773, 0xb4316e55, 0x45fffa4d, 0xc42174c1,
+    0x5945fd42, 0xf2b06b3b, 0x25064ec5, 0xb8b03649, 0x09f6dc0c, 0x23f1a8f2, 0xfbaafb25, 0x5b4c9a16,
+    0x0b847d90, 0x6b429336, 0x00c212cb, 0x39aa816c, 0xa2e37306, 0xc89d0c30, 0x70b1a81e, 0x63a9587f,
+    0x36ca816b, 0x1189a550, 0x3b12045c, 0x6177633b, 0xf2d13d94, 0x8528daae, 0x6695cfee, 0x82524ef4,
+    0x459d1ae3, 0xf97e4a36, 0x6bc1a711, 0x8a008b05, 0x7c6baf5e, 0x17e69a65, 0x6e6eca2b, 0xedbcbfef,
+    0xac364545, 0xb7e497fa, 0x913bc8b4, 0x556f2616, 0x34957217, 0x8ea321a1, 0xd950da84, 0x8a9c6212,
+    0xc8cf597d, 0x305146f0, 0x731e5b05, 0xb824443e, 0x41a34a49, 0x93097df3, 0xea69c588, 0x388a66b7,
+    0x02a099a0, 0x5168c07a, 0x7ee2267a, 0x629e478b, 0xbec6ddd7, 0xbdf5b84e, 0x8a18675b, 0x97a1fb19,
+    0x1498d50b, 0x44bc3183, 0xb3389ee9, 0xfda21ffc, 0xacf7a9bf, 0x9eb54dd5, 0xab922565, 0xf1bd21a7,
+    0x4fede9ac, 0xeabfb29c, 0x699b0afb, 0x8b15a2eb, 0x5576c9a1, 0x1b653c32, 0xa9852ca9, 0x62dc03b2,
+    0x9270a623, 0x52b92404, 0xa94f0ce7, 0xf050cac3, 0xf39884e6, 0xf2acd54b, 0x165485f0, 0x8cded5e3,
+    0x8e2ac57e, 0xe6c97a81, 0x2863229a, 0x3d51665e, 0x5c6886b8, 0xd2aa948e, 0x89abfd59, 0x5a1e4828,
+    0xe9d7967f, 0x95299a98, 0xdb23c906, 0x7811d34b, 0x37df52bf, 0x18d6a71a, 0xe024b36d, 0x3c94da06,
+    0x04a1b9e3, 0xd8a5c80c, 0xe7d71bf0, 0xb3ffe4b5, 0x5577c85e, 0xc927ff78, 0x831147c6, 0xee3b4036,
+    0x89c755de, 0xf849ea81, 0x053acccb, 0x9cfb4c24, 0x967ff67a, 0x8620df1a, 0x3b66ec8d, 0x96056957,
+    0x595219d2, 0x82a050be, 0xef4a7778, 0x37cc95f6, 0xaeba8124, 0x9b379082, 0xe967d545, 0xce091b98,
+    0x8fcd6b19, 0xebff57b7, 0xda48bec0, 0x41f2f229, 0x79a70f28, 0xc2079bfe, 0xbd36cf1a, 0x7f051ff8,
+    0x0645b972, 0x9d909e74, 0xb3527be5, 0x55ee018a, 0x289ad589, 0xc7f16fcd, 0x0e4f77d1, 0xac1895fa,
+    0xf9682ff2, 0x83e647fe, 0x57b15d69, 0x6aa7bef7, 0xd961917a, 0x8ec9d026, 0x1750b3ba, 0x48bddd8e,
+    0xd48c67e5, 0xd3137984, 0xefa5a249, 0x3bbee86c, 0xe5667661, 0xd83af9d8, 0xc3553b17, 0x3f49bf5a,
+    0x0c458dba, 0x1dcdcd7b, 0x6a0eb127, 0x180317d0, 0xd5248b36, 0xbeec2e94, 0x7086aaf7, 0x452ae1dc,
+    0xb621d29e, 0x98137f28, 0x950360de, 0x23e1ec38, 0x0eb6ec91, 0x086b9217, 0x4cef7d1c, 0xc303db79,
+    0x04fef6e3, 0x0458b388, 0x1b04ca49, 0xae4d7547, 0xda90d0a1, 0xde0f0c3d, 0xf55398fd, 0x835a7c46,
+    0xe9ca1cd5, 0x1349c452, 0x381cf0d9, 0x2f11ab1e, 0xeff56d06, 0xfe8372e2, 0xa1205082, 0xb350bc58,
+    0x2f9ac941, 0xeeb3921b, 0x5915d19b, 0x35b87482, 0xd2496c37, 0xad9dfa8b, 0x41a6aa68, 0xf30fabf1,
+    0x9c2f2283, 0xa4674cb5, 0x3530f250, 0x322cf368, 0xf7305005, 0x9894d781, 0x63e318b7, 0xbd85acbc,
+    0xe939cbca, 0xfd79b94b, 0x2fabdc8d, 0xec1408e9, 0x2b3749cb, 0x8da598e0, 0x3453cb60, 0xa092937e,
+    0x88bbb048, 0x5ff5c6d7, 0x707a95ab, 0x3b6a094f, 0xeb352b44, 0x08989981, 0xd4f809c0, 0x01b6209c,
+    0x7f1ccbaf, 0xd4ab26c7, 0x1ed45760, 0xcb0af0c4, 0xaec6e9e3, 0xb7026736, 0x685ecb41, 0xa1d8fb42,
+    0x663a7a08, 0x2d60f416, 0x543d63a2, 0x205bb39f, 0xa9ae6baa, 0xeb9ecd43, 0x386506ed, 0x6ff7a7c0,
+    0x55cb0d8f, 0x8f11e5db, 0x1e4957fb, 0x684116e4, 0xae412467, 0xbaab104c, 0xab0626e5, 0xd935458e,
+    0x0e863993, 0x10af6a90, 0x7a1b3e9d, 0xc5452c99, 0x71bd857e, 0xf9b8de36, 0x5e0a2527, 0x3540beb7,
+    0xedeb5784, 0x146ada21, 0x6bda1c42, 0x599a581c, 0xadaaf6d5, 0x70cd3766, 0x10ecdbe9, 0x1841c72f,
+    0x1ec583c9, 0x7431793d, 0x4dbbe1be, 0xf78821e5, 0x96ff8ddb, 0xc8b721aa, 0x3d39d457, 0xa85ace6b,
+    0x24f38c21, 0xdf83d93f, 0x03c77ef4, 0x5d2b2c72, 0xddd84208, 0x66d5782d, 0x27af45fa, 0x02b6f7ed,
+    0x80ae11d1, 0x598497a1, 0x7dd25c76, 0x21e0fbcc, 0xd58a3edd, 0xc493660e, 0x2c111bfe, 0x929aea44,
+    0x384e15dd, 0x4f2f5719, 0xa0131e7d, 0x4e4dda7f, 0xedeae557, 0xb781db60, 0x2873b1cf, 0xa056099a,
+    0x4797c983, 0x82c1fe45, 0x38cdf8b2, 0x7fc30fa9, 0x44111a9a, 0x43d97b2f, 0x3b5dc1d4, 0x5c254e05,
+    0x9c3de6e0, 0xdee481bc, 0xf40624e7, 0x5f0adde0, 0x5b6c9236, 0x60df83c2, 0xd53f81dd, 0x6b075be3,
+    0xb9cb8bbf, 0xd82fde1b, 0xaef65534, 0x3315ed29, 0x9d146563, 0xaa576169, 0xf8dc8e9c, 0x29711142,
+    0xf95c55bd, 0xc5dddff5, 0x816a0e88, 0xf2bd0a34, 0x814eaf19, 0xed8b37d8, 0xb2c854cf, 0x891cae68,
+    0xfc49e609, 0xb389585f, 0x9ef02724, 0x1feb02ac, 0x77176875, 0x6c958eb7, 0xcbe91381, 0xd815d69b,
+    0x45c71ed8, 0x1d5858bf, 0x16b2a1e8, 0x5e21dbe7, 0xa896389a, 0xf7d6f8d9, 0xe137355a, 0x7fbe267d,
+    0xe2e92c61, 0xf4f82045, 0x3b992e1a, 0xefda724c, 0x8011a84f, 0x07c5fea6, 0xbf96733d, 0xd8329104,
+    0xb7d33d3a, 0xf7cc354b, 0xdca55db7, 0x036ae0de, 0x80d53e77, 0x30cd6eb9, 0x4ce0e0ed, 0x1e26ac3f,
+    0x2917cc2d, 0xca7b2c97, 0xe865af50, 0x1c8ba671, 0xb62362f7, 0x6cbbb2c0, 0xf270a602, 0xc4799b50,
+    0xed8e43c9, 0x8a2e2180, 0xd99896a3, 0x3772df32, 0xc0698d72, 0x4e699a8d, 0x0d82390b, 0x99e6dd39,
+    0x86b7c8be, 0xb60ab048, 0xc3a50473, 0xb428d94f, 0xec6fd52e, 0x7adf30fd, 0x5ce71769, 0x89135536,
+    0xf1f84a2a, 0xe347688b, 0xdc20cd54, 0xd8ec33a6, 0x67a94cb6, 0x414a21ec, 0x713fa23b, 0xbdcf17d7,
+    0xbc5c9f0f, 0x03540856, 0x6cd5905e, 0x9d2cfe85, 0xa8ebf4de, 0x0baaa58a, 0xe63a6202, 0xc33b1841,
+    0xd75a7939, 0xa8e0077e, 0x37dbd786, 0x2406a29f, 0x316a3637, 0xb30f0d30, 0x20483d86, 0x4315dc36,
+    0xac41f333, 0x9f94c9bc, 0x962949f8, 0xdd4c02b6, 0x1e4e42fe, 0x9bb88fff, 0x58e7754a, 0x70f92261,
+    0x6646576b, 0x5ba06710, 0x8fbebec2, 0x7b3b05bf, 0x3caef787, 0xb460ffe9, 0x96549754, 0x8412a040,
+    0xc2bb7ec6, 0x9bcdf67d, 0x2927c96f, 0x262a99ae, 0xd1d8eee4, 0x8877da24, 0x259a0d65, 0xbd67d360,
+    0x1501a0b1, 0x4f83c591, 0x0409af0b, 0x459e01c5, 0xe70ee3e4, 0x314a9d57, 0x96ff9993, 0x3db5b82f,
+    0x7b91373f, 0xc38be085, 0x4b6b5961, 0xf8f1e80c, 0xa0d31a7b, 0x0cc4152b, 0xd4628bed, 0x292f4fc4,
+    0x6105f283, 0x1cf0aaf2, 0x2f2a6bd4, 0xa32eda1f, 0xfbed1b4f, 0xc7b96859, 0x92560384, 0xe69b6fdf,
+    0x5870dbbc, 0x719d6d5c, 0x9f857ebb, 0x0b6aec6b, 0xf2ee416d, 0x57c76466, 0x2b08bc49, 0x8198d272,
+    0x2ee90c71, 0xf37bd377, 0xfe4b3677, 0xad404225, 0x598d3af3, 0xbd087597, 0xb5a0afaf, 0x05fb201a,
+    0xc2df28ec, 0x708b8c08, 0x8002d7a4, 0xa451b04a, 0xb2a1adea, 0x6e438ca0, 0x6ad6dfd1, 0x4af5a0e5,
+    0x7e6025e3, 0x54356d01, 0x7bfaf7f9, 0x15dd03d6, 0x524e56d3, 0x8281d9b9, 0x61c8666d, 0x137a9b51,
+    0xdfbed7b2, 0x722d2608, 0x46ba5926, 0x6ab813da, 0xfc2a5c64, 0xc6e9e2ba, 0x92f5d09c, 0x3a9d91de,
+    0xb91c5c81, 0x5806fc20, 0x4eba4c68, 0xac27cc5f, 0x1aa628fe, 0xa7c9e021, 0x392f20bb, 0xf9cc3823,
+    0x0b8f2f6d, 0x5e4c300b, 0xf70e1e3b, 0x4b07d3d5, 0x0fa71a1e, 0x587cc8d9, 0xb2f1dc7e, 0xcc9920c0,
+    0x6ba2828b, 0x7ff2bcd9, 0xd7d7eb09, 0xd1eaf92b, 0x73dfceef, 0x52c04203, 0x50f295f3, 0x234e87ca,
+    0x0ff7f1b9, 0x9b61c95e, 0x58651499, 0x20130743, 0x8b61799a, 0xaf5b6e87, 0xdc51f9f8, 0x69ce81f5,
+    0x94f6408d, 0x54bb17e3, 0xf772a8b1, 0x8f9503de, 0xf1ae9f2f, 0xe633fd6b, 0xe82aefc3, 0x5bfbaca5,
+    0x4b778b66, 0x16b5a605, 0xb8a7979b, 0xf0225e00, 0x4957cb7b, 0xcf21462a, 0x8097cb2b, 0x09dc31b4,
+    0xc593a179, 0xdd33f175, 0x3fb7a0fd, 0x8ae528fe, 0x2dfb8d9e, 0x289f4a30, 0x59960b31, 0x06870264,
+    0xcb5822cc, 0x3b718ddd, 0x9833a20a, 0x0246132e, 0x35290214, 0x1edabaa6, 0xc7fef2b9, 0x332d3164,
+    0xa137a2ec, 0x0356a596, 0x48defe9a, 0xd38d496b, 0x62915eb9, 0xe05be9d2, 0x56e91b6d, 0x009802f8,
+    0x6ca0fbbd, 0x9c832384, 0x0a8c8b14, 0xff5bd529, 0x2e0a9e09, 0x077b11f5, 0xfe94f718, 0x26cf54d9,
+    0x42f94b4e, 0x07ee41b7, 0x3ef05b57, 0x526e7b14, 0x7eb8b219, 0xe14badb7, 0xc041d54d, 0x54ea4ec0,
+    0xeafc7538, 0xd31807f2, 0x06f6fbc8, 0xdfb89d23, 0x28fec9de, 0x002e1371, 0x79631390, 0x3e6060cd,
+    0xe0b1cdce, 0x2e0d60b9, 0x51c78ac4, 0x32935eb7, 0x566a378a, 0xcfbaf8ab, 0x82188fee, 0xba4f4067,
+    0x9e36163a, 0x4ebf2b19, 0x10facfed, 0xb3ea75cf, 0xc63a7b3a, 0x2760285a, 0xaf6476cf, 0x64c0b9df,
+    0x86cd0943, 0x96c29d34, 0xb4aa10d2, 0x20abeaf4, 0x0ad530a0, 0x5294fb38, 0x05341fd5, 0x6de20f54,
+    0x4749d90d, 0x64887b79, 0x6379546a, 0x3b657e0f, 0x74916292, 0x3ebc8e0c, 0xfd452a51, 0xc39087e8,
+    0x79566dfb, 0x41885ed5, 0xdbb546ef, 0xe58f6d1e, 0x85d5b36d, 0xad6f18c9, 0x8aec8b17, 0x4f5342ec,
+    0x61191466, 0x4acfa717, 0x5973dc07, 0x00aca9ae, 0x900369ee, 0x4d1ecd24, 0x812bd87c, 0x9ddd574f,
+    0x7390ab43, 0x73b7a1fb, 0x81dcaff8, 0x92f85c93, 0x1303f4ba, 0xac4c8e02, 0x9558fa32, 0xb204fcc1,
+    0xc98cb288, 0xfed08820, 0x26509592, 0x9351a28f, 0x14fae4bf, 0x7982cf5e, 0x43480164, 0x86346005,
+    0x9dfac294, 0xde0fc593, 0xff3d3a64, 0x3460c83c, 0x7f541007, 0x20fa6dcf, 0x90654812, 0xfb7c7fe6,
+    0xd799840c, 0x2c0bdfbd, 0xc62f985f, 0x5c07838f, 0x0f73bf53, 0x0ae6a70a, 0xde09a5f1, 0x88c8e7e4,
+    0x58b21f51, 0x03988867, 0x48fcff52, 0xde70a57d, 0x75ef82b3, 0xa17a2cfa, 0x7d157f77, 0x8c2a8004,
+    0xba93a285, 0xa083d534, 0xf281131f, 0x59b3a201, 0xe8c60796, 0xb1319bda, 0xf4e16da5, 0x06533e44,
+    0xde8f1d6a, 0xb933225a, 0x406b078e, 0x564d2af4, 0x8c4d6c4d, 0xac0d2b56, 0xe0021201, 0xf71a8f84,
+    0x097c947a, 0xecf8d7d7, 0x42387bee, 0x148f60a9, 0xc47d74eb, 0x9a0eb43e, 0xd164676c, 0x5f586003,
+    0x7296dbfa, 0x9eb8b32c, 0x53628539, 0xd988adba, 0xa08a5cef, 0x48d04363, 0xb3332ca9, 0xe245784c,
+    0xd6c0ac7d, 0x376de91e, 0x24f6dfcd, 0x6ba91fcd, 0x78ced1b1, 0xeb3a1b01, 0xe84cd671, 0xa47180b0,
+    0x9b63ff03, 0x9622e2d8, 0xd08c825a, 0x1bad7b7d, 0x26be117a, 0x8d50989b, 0xb55b1e63, 0xf9b5949e,
+    0xceb26511, 0xf7f16c4c, 0x9466e035, 0x6a73c602, 0x4a5244e8, 0xa88e777b, 0x404542b6, 0x3a02fa62,
+    0xd4342c80, 0x11a70852, 0x63fcca37, 0x4e8d3fa3, 0x39ff6e9f, 0xab355a08, 0xf1d55332, 0x5fe8182d,
+    0xc93f0f3f, 0x0fbd0288, 0x4931360e, 0x3e602799, 0xa83e94a3, 0x70a26d67, 0x9f6887bb, 0xd37c349f,
+    0x20de7690, 0xdc9c0421, 0x137370fe, 0x7d2c698b, 0xc83fc932, 0x8ba5e150, 0x5d6aaa9a, 0xc2a9a1e0,
+    0x89c44a03, 0xd76dbdcc, 0x19916e8a, 0xdc7aaec5, 0xda7263fc, 0xa50f2cdc, 0x49aebd56, 0xe7d9323c,
+    0xd971faf6, 0xbbda9e7f, 0x21c87499, 0xd2824429, 0x5fbc1ac5, 0x4f9ad6fb, 0x9cd8fbfa, 0xbdbfb4fa,
+    0x349097f3, 0x51b26d97, 0x34546101, 0xdef73a7f, 0x55429364, 0x86e644a7, 0x78158f66, 0x23ebc127,
+    0x058b6dd3, 0x761b6f45, 0x572b5c8e, 0xd3477192, 0xb14fe771, 0x340f7eef, 0xa31ae2e7, 0x49a355f0,
+    0x7884dc54, 0x9ce8d200, 0xcc385170, 0x97133b1d, 0x5ef74a5f, 0x5f18ffc4, 0x111bd38e, 0x9b0d6850,
+    0x7853247f, 0x4eb7a2e6, 0x835b8e82, 0xb8b57b00, 0xe0419afd, 0xafc1a714, 0xc9fbd2f3, 0xc68371f1,
+    0x0e99446b, 0x204c7867, 0xab4fa98e, 0x0784a67b, 0x6093854c, 0x86f32561, 0x8034cb05, 0xba54085d,
+    0x969678eb, 0x6aee4f91, 0x941944d6, 0x8a7d9c69, 0x19ce0382, 0xef8cacbb, 0x61b8d22b, 0x845618bb,
+    0x51c23e23, 0x244251b2, 0x7afc1c59, 0xefbb832d, 0x8274b169, 0x04a732bc, 0x85eb8077, 0xc90f4249,
+    0x1a8ac3a3, 0x93b6bee8, 0xa815e51b, 0xb79efc92, 0xdf194671, 0x989b3eab, 0x58ca962a, 0x161c9f1b,
+    0x49a0a20a, 0xb6db94ad, 0x268cd195, 0xadf19336, 0xa29d2fe0, 0xcc0eab73, 0x6355a818, 0x24f822bc,
+    0x6c4bb76e, 0x391c502d, 0xb4c3fa31, 0x7fb467b6, 0x37ffc90a, 0x4fe2f447, 0x0b4af3a0, 0xc2fa0736,
+    0xe42cc493, 0xd848d9f4, 0x66250425, 0x9ddbee0e, 0x78e80512, 0xffa5497e, 0x342aef7a, 0xd7567076,
+    0xe33c547a, 0x7895f9d1, 0x448bc83e, 0x9544e559, 0x5b965a22, 0x635fe1c2, 0x54f16147, 0xebb19cd2,
+    0xc7ead4fa, 0x48986358, 0x1979d18f, 0xd60492bf, 0x3ba36880, 0x0df37438, 0x1d004da2, 0x583d7722,
+    0x15fe30ff, 0x0b467aec, 0x10912b3f, 0x41eafdb6, 0x007b25de, 0x2d51b2ae, 0xdc649378, 0x7f852f94,
+    0x16cd58b9, 0xf12832aa, 0x188c11ec, 0xa0479015, 0x274f0d63, 0xb1cd9a6c, 0x78949741, 0x1e67a585,
+    0x83ffac0a, 0xedde63bf, 0x4ea440da, 0xdfba4ba1, 0x9490f4a2, 0xb49d0de3, 0x84ad650b, 0x6c976189,
+    0xd32dbb08, 0x3180fb5b, 0xfb9f17a5, 0xe85d2bb9, 0x2e14004d, 0xb2a914b0, 0x0178caff, 0xd3e06a42,
+    0x782e415c, 0xdedd6d99, 0x3b10811f, 0x395d20e5, 0x4abb18a1, 0x6be991a1, 0x820d03c0, 0x1e866c2f,
+    0x5e9e729e, 0xb29087c8, 0x360eb242, 0xc1200ec5, 0x6a2a613e, 0x9b49eacf, 0xcbf84552, 0x44b24003,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000093536104789177786765035829293842113257979682750464 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125993, 0x49d500e3,
+    0x00000000,
+    0x8deee6ef, 0x2ff2a9bf, 0x320156e2, 0x24318755, 0xb0c79292, 0x2080f74f, 0x2ef92430, 0xeff7b797,
+    0x12f32cf3, 0x2cb9542d, 0x409f9bc8, 0x6f888e7b, 0xd478798d, 0x8491b197, 0xd2980ca7, 0x9fa5dc9e,
+    0xbf48a3e0, 0x4ae3bcbf, 0x9dd240c2, 0x389d1ff3, 0x16e4ae52, 0x1aba112d, 0x96962245, 0x53660a79,
+    0xaa144038, 0x50c6e866, 0x95037b98, 0xa0fa26e5, 0x154f8c60, 0x82fe09bc, 0xfbaee8eb, 0x49c938f1,
+    0x66a0d9ee, 0x0fb4f645, 0x563c1632, 0xb4aa0ff7, 0x297a7e09, 0x8d1c2e74, 0x145dd6b9, 0x416d2790,
+    0x5c6c3b85, 0x6b31e29b, 0xa47eda9b, 0xf333b296, 0xfda505ba, 0xee369328, 0xe22059c1, 0x974da2ed,
+    0x17fe6250, 0xc932aa8c, 0xd94e33cd, 0x329a0ba3, 0xa7a9926e, 0x427ca420, 0xd45391a2, 0xff148715,
+    0x39e69644, 0xbfd34543, 0xff72522e, 0x0e8da57d, 0x1ff746f3, 0xe1326e14, 0x26961edb, 0x3287870f,
+    0xbb79d2b2, 0x5fde029b, 0x120a4f66, 0x497593b1, 0xff739d46, 0x520faf90, 0x13531eae, 0xce7a78cb,
+    0x6051aa6f, 0x9077d0d5, 0xed0dedc2, 0x95b450e8, 0xf3d1a6b6, 0x85b5578e, 0xd943a6f3, 0x564e12bb,
+    0xabb71d02, 0x57ba99a4, 0xd9774f97, 0x8eea9c2e, 0xb58bd7e7, 0x7323e07c, 0xc88a8b69, 0xa9b4693f,
+    0xdd86f2ea, 0x80048d3c, 0x59fb63a9, 0x2cf0e52a, 0x003c3647, 0xd17c8986, 0xd4ad3b4f, 0x149ee751,
+    0x79f333bd, 0xf872a144, 0xdcebd66d, 0xe8fa7e33, 0x5ab1d53f, 0x628e3a6b, 0x1e831cf8, 0x9f5051e9,
+    0xe58fc25f, 0xa3aef903, 0x501e720f, 0xaf0c3da9, 0xb9685044, 0x095b1794, 0x877ee7c6, 0xf81f4716,
+    0x25b70bf4, 0xa8a8f4b6, 0xe836f811, 0xde9cee9e, 0x9229fa2d, 0x77b41631, 0xcfb3a180, 0x4de2782a,
+    0xe4d99f11, 0xc3eafdbd, 0x3854a32d, 0xba91b5ea, 0x9b56fab5, 0x9ce48a20, 0x28abda03, 0x31622595,
+    0x06a0a1b1, 0x4af2c83c, 0xe23c6bdf, 0x0f4e522e, 0xccde3d27, 0xd58c62a4, 0xd192fab6, 0x1c55ea1c,
+    0x415bb3fb, 0x6f24bc4b, 0x1afcda4c, 0xf3aaf92b, 0x28785ab5, 0x435ec94b, 0xda853a3d, 0x2bc1b43e,
+    0x727a50c2, 0x16d5bb7b, 0xf5f2372e, 0x319e182d, 0x64ad0d59, 0xd58864b2, 0xbcaf7d8d, 0x4bc1b483,
+    0x07b30db2, 0x502387c1, 0xe146ab09, 0xf9c0d8f1, 0xfd98195c, 0x853d4aad, 0x06bf3833, 0xb47b8280,
+    0x7164164f, 0xb130999d, 0x84e9ba99, 0x0cc01642, 0x7960d082, 0x2350d621, 0x7fc9713f, 0x6d57f46d,
+    0x808f6ee5, 0x4b0a0c48, 0x85c951fc, 0x0db5c0a9, 0x3ed5246e, 0x40acf482, 0x39c8b87b, 0x8235e904,
+    0x08b1ccdd, 0x8b78ba43, 0x4bf3da1c, 0x16b2df95, 0x11e29d16, 0x9a584d0d, 0xc879197b, 0x29bc1c9b,
+    0x3ceff142, 0x9953e4fa, 0xa12a2368, 0xa903f07f, 0x3083d34b, 0xe07df311, 0x8e077d6c, 0xddb09960,
+    0xba55befc, 0x7bbb6e41, 0x799fac27, 0x0d9502a2, 0xe884bcbf, 0x08ab0724, 0xe636834d, 0x159f0118,
+    0x8f8c9e4b, 0xb4494b72, 0x6055f198, 0x15478dc1, 0x64f3243b, 0x986df628, 0xa20560f8, 0x0457a8b6,
+    0xa0dd21a5, 0xdd7f252d, 0x5cc0884a, 0x083b766e, 0xc251501c, 0x9b6dfaee, 0x4a891d75, 0x4ce6a538,
+    0x32117fcc, 0x48f1bc94, 0x68551902, 0x2bfe8a6a, 0x098b4304, 0x5d625d95, 0x547ea610, 0x9af8c75e,
+    0x6cde0ce4, 0x60fc866a, 0xa5f6576c, 0x44d3333a, 0x1c5e10fa, 0x90ad5bf9, 0x1bf66913, 0xc100b6ac,
+    0x4cc2c94b, 0x97997946, 0x298c8399, 0xcaba5298, 0x9b74c0ee, 0x092bcbdd, 0xb5c509d2, 0x3aa7f750,
+    0x6510ba42, 0xd4b59f99, 0x027d0da4, 0x2101b5bc, 0xaec4b56a, 0x37409f6e, 0x6de5b073, 0x0be57747,
+    0x646eb062, 0x1f14ed54, 0x18eb7b7d, 0x1083a806, 0xd99ab19a, 0x7fe7aa13, 0xc3cf8e14, 0x94dae498,
+    0x78c02007, 0xf264577c, 0x90ee0347, 0xb1243ca9, 0xced1e58b, 0x1cd8d90e, 0xfee82d2e, 0xeb100a59,
+    0xebb67a6b, 0x3833ffc8, 0x9edff658, 0x23c6c191, 0x1c25a19a, 0x0045cf18, 0xedc22659, 0x5c2b8945,
+    0x32ff6049, 0xa110d2f2, 0x59879ad0, 0x296db3ff, 0x27d3b2ad, 0x0493562f, 0x048d8aab, 0xd161b360,
+    0xf542ea54, 0x773a0774, 0xdb0d18f5, 0x3f629464, 0x26a946d2, 0x4f2a8b14, 0x9b3f7b46, 0xb23bce33,
+    0x60a06d32, 0xa62a7cfc, 0x27364d49, 0x2acca168, 0xe37a0373, 0x772baee3, 0x3441f790, 0xf2bd486e,
+    0xb1dbd10c, 0xbb7a9db7, 0xf3790066, 0x97ec00f5, 0xe2a526e3, 0x11ad907e, 0xa33e75ea, 0x0b237924,
+    0x66e27de5, 0x2f3885a7, 0x756e99cf, 0x31c1fc7a, 0x8e690e09, 0x217fe0b6, 0x03cc46a6, 0x3ef90a8d,
+    0xf6c50348, 0xd3542ee9, 0x8b750991, 0xce09617d, 0x4d7a5bc3, 0xc0cc3521, 0x049c0fb9, 0x4a402526,
+    0x7223ecca, 0x90fc147b, 0x3196a725, 0xadf86318, 0x9cc4044f, 0x202c2a27, 0x36346a30, 0xfa888a32,
+    0x66147130, 0x623f3f39, 0xa6470e08, 0x7a0510ce, 0xd7766088, 0x7ee3e1a6, 0x2c6a71e7, 0xac7c2851,
+    0x34813a3c, 0x7e1daa0e, 0xa5f9db61, 0xf27cd743, 0x3a791737, 0x5a04d2ab, 0x2422bb35, 0x3bf51f77,
+    0x19bbcf64, 0x2f0baeae, 0x88c28d17, 0x5ca0ac38, 0xbf201e95, 0xbc038bbd, 0xe206f631, 0xc148da7b,
+    0x5ccdecba, 0x4faa7839, 0x31d61b0e, 0xd908f509, 0xf19a4afb, 0x3c9b1c49, 0xe4eac008, 0x356922b6,
+    0x2dab5f3c, 0x831546d3, 0xa1433513, 0x893539dd, 0xccc85566, 0xa928535f, 0xe5a32c9c, 0x1a18a31f,
+    0xe85ff04e, 0x2d606c08, 0xa1ead9c4, 0xd9793931, 0xf007cfac, 0x3d98da34, 0xcde1267a, 0xcf5bb2ba,
+    0x24c90956, 0x9ad9f1d4, 0x70f558fd, 0x70ee29b0, 0x68c7976e, 0xc9dc522a, 0xa00fcac5, 0x45ab732c,
+    0xcdb44b6b, 0xbb6b48fe, 0x10ae9021, 0x523a8e89, 0x46fe079f, 0xd8b3e1c9, 0x8ff0cfd6, 0x12daf27b,
+    0x077881b1, 0x810f2cfa, 0xb95e51b1, 0x83b60a45, 0x1afd314f, 0x93d8666d, 0xd413f6a6, 0x7ead9459,
+    0xaf054ee5, 0x7a515bf5, 0x80ac615a, 0x53277df3, 0x564a0426, 0x60b1ab8f, 0x6b94ea21, 0x1bda757e,
+    0x360d5467, 0xe6769a56, 0x7938ed38, 0x85a6dd65, 0x799bfe6f, 0x2694c98a, 0xfae9180b, 0x001c6664,
+    0xbd26eeba, 0xbfa8ca90, 0xf9e5be17, 0xe43cc102, 0xeb903b65, 0x7ddf8845, 0x25e485c9, 0xda843642,
+    0x490bf2bc, 0x5a235b70, 0x29045aa6, 0xa03f011e, 0x35b77545, 0x5ec9c97f, 0xee54322b, 0x9b6e0416,
+    0xdb3de45f, 0x4fbdce53, 0x542bb469, 0x81852135, 0x750cc252, 0xc8149941, 0xfd400165, 0x7c2a3772,
+    0x0c093712, 0xaa5ad66e, 0x61174105, 0x054025f5, 0xd3e2ff3c, 0x3e2b6d81, 0xbd98933f, 0x4486aa0b,
+    0x7e80653c, 0x41c501ba, 0x2432fef3, 0x49b7a772, 0xec6b65a3, 0xac7b12ce, 0x876de35c, 0x31562d4d,
+    0x9fa8ea4b, 0x31232989, 0x8b7ee9f9, 0x87d0018f, 0x3b1e3a50, 0x1e33b6c1, 0x14735ba5, 0xf90cae5f,
+    0x5ca38864, 0x63407564, 0x8010c42d, 0x1ad78d7d, 0x7df11e4c, 0x1bfd05c8, 0xf08f9944, 0x947f22d6,
+    0x8963bec4, 0x03f438de, 0x0aeed4cc, 0x6494a86c, 0x446a1d29, 0x11555faa, 0x298f5bfe, 0x4f8c5255,
+    0x4fc489e4, 0xcad2f5d6, 0xecb345b8, 0xab152f09, 0x1121cae2, 0x64db57ff, 0x206b63b0, 0xc601ba3a,
+    0xf1fdb2da, 0x5a3c1790, 0xd85eb106, 0x51b36e19, 0xf89c1cc2, 0x65a773ad, 0xd3fe26a4, 0x6821d9a8,
+    0x2340c701, 0x0974be0b, 0x092b3dfe, 0xf45f6b41, 0x991f55bd, 0x70b60f57, 0xdcf4ffb9, 0x5ccc47e9,
+    0x7eb9edef, 0x19530ebb, 0xf3b237ae, 0x30edeadb, 0xee40bce7, 0x8a284989, 0x89f33389, 0x30f865e2,
+    0x6f356174, 0xde41151a, 0xcee02a7f, 0x8621f76f, 0xfed23feb, 0x7280d66f, 0x2a2a6b22, 0x253dba18,
+    0x41321a6e, 0xcec74363, 0x3c94516d, 0xac15af98, 0x5e136cd2, 0xfabf4096, 0xf8ce64c1, 0xde9ff96d,
+    0x7a49e4a1, 0x075dbef3, 0xc434449a, 0x4d47db2e, 0xa7f62f39, 0xff73a6e4, 0xd30fa4cf, 0x232ddc17,
+    0x9f6edfe4, 0x2cc402a8, 0x0c213ff8, 0xefc832c5, 0xb1f1941a, 0x2b67e172, 0xba6540bf, 0x39a19a21,
+    0x302e8096, 0x754af151, 0x94b917ac, 0xe1ab1ef8, 0xaf2e2183, 0x8cb180a2, 0x7234384b, 0x50b3653e,
+    0x6427ca6d, 0x25b59552, 0xd8ddc178, 0xdd97cfd3, 0x3735b033, 0x03f9481f, 0x76c93b7d, 0x0203b6e4,
+    0xf6c932af, 0x26789d16, 0x9919af66, 0x2a95a580, 0x61b2084c, 0x44320dce, 0xf0a8042a, 0x574a776a,
+    0xffe32ce1, 0x9bbc1881, 0x9a762d25, 0xca700676, 0x5a89369f, 0xcd31e92e, 0x5db86c99, 0x51f3e825,
+    0xa9ded81b, 0xd113d626, 0xa8879f70, 0x33c1d511, 0xaf18f97e, 0xf98f360f, 0xf104cef8, 0xbca22a84,
+    0x34b9a2e9, 0x5e6b54bf, 0x6169c5e0, 0x89c1eaa3, 0xb99d4d68, 0x877e90a6, 0x45b847ce, 0x9c3aeeef,
+    0x758fc857, 0x572a7c2a, 0x0107af8f, 0xa5d206b4, 0xb136ebe7, 0x7e8bd366, 0xcc990cf3, 0xfd8916a0,
+    0x7cf52a25, 0xbbc92da7, 0x9828ca67, 0x9c66c7c3, 0xbe12fa86, 0x86941f32, 0x957bfb6d, 0x0b912b44,
+    0xc50d47d6, 0x785257a1, 0xeb2159a0, 0xb27c4c0b, 0x4bdde9b3, 0x0b592e7a, 0x4dc832b9, 0xf3cda15d,
+    0xd697c3cb, 0x222cfb0a, 0xcbca022b, 0xdd6f62b7, 0x9b3dbb2f, 0xd6e9db8d, 0x66337c82, 0x58f91d3f,
+    0x5101fc76, 0x50a1e987, 0x6038345f, 0x8c8d72e9, 0x7faf38f8, 0x768a07ca, 0xbf5c85a7, 0x0937ff3f,
+    0x3a348945, 0xed0bfb4f, 0x2fa9bd80, 0x3dc1fa93, 0xcd566612, 0xdaf9e32b, 0x2d15a56d, 0x62cfb22a,
+    0xf8d2fe9b, 0xc7516f6e, 0x24cf4317, 0x4a0ed300, 0x1f995939, 0xbacb4ef4, 0x7b2c8bae, 0x04bb6da8,
+    0x2642fabd, 0x7af46838, 0xe4135a58, 0x1cdae482, 0x84eef250, 0x8b182e57, 0x6d8417cf, 0x4b3953b9,
+    0x85771d35, 0x9fc17345, 0x34cd1cae, 0xec45c6de, 0x2bd060d9, 0x4298983b, 0xb9bff890, 0x41cb3089,
+    0xdf621b15, 0x94208287, 0x879bfc15, 0xe0510042, 0xe393c3bb, 0xc6d453cd, 0x2144beee, 0x959c81db,
+    0x81ff294c, 0x77d5af06, 0x0dc45aa3, 0x450ae02d, 0xcb0b6991, 0xb1e80d9b, 0xe7b00839, 0x13e4ea3b,
+    0xa1c072c5, 0xbbea3474, 0x784e95b9, 0x19851d73, 0x628dd4af, 0xf5a2cd8c, 0x59afe60a, 0x617e70fd,
+    0x0910b6a0, 0xee19fda3, 0xc66e40d7, 0x9b64b48d, 0xdc8eccb3, 0x8f4703d7, 0xd9d6ce27, 0xe76a766e,
+    0x1c237324, 0x74633a75, 0x39e55e29, 0x6504d1ed, 0xe799297e, 0xcc927503, 0x80e1e666, 0x496962fd,
+    0xcb2c89b2, 0x2d0360a8, 0xd289a360, 0xff876dfe, 0xbff5a666, 0x133db45d, 0xe60308e2, 0xd42fc4ac,
+    0xc8068bd0, 0x93adea61, 0xe47458fa, 0x0bd6e833, 0x472884ce, 0x15e2634e, 0xcb7aaee1, 0x89fa7ff8,
+    0x217ec9c7, 0xb734db51, 0x36e1f416, 0xbee9d8d3, 0xf7888d7a, 0xdf0611ef, 0x356a7159, 0x0d87fc8f,
+    0xe1b744ac, 0x57856cfa, 0xe7bf6516, 0xcb3b3a7e, 0xfbb2e5a5, 0x396536df, 0x6dc67839, 0xe6352b28,
+    0xe31f3b8f, 0x8600a36c, 0xcc5ad2d5, 0xa4b5441f, 0xc3bd0589, 0x66ad51f5, 0x2a964351, 0x9e28df89,
+    0x43dac35b, 0x5f8bcc5e, 0xb1c52b93, 0xf9d52e56, 0x01d63f1e, 0x2a9ffba6, 0xf753ae97, 0x31edc3a4,
+    0x5b5bb040, 0xd1bfcf0e, 0x02021375, 0x4a869e4f, 0x9ab1be58, 0x3981643a, 0x74e22570, 0x15ff799c,
+    0x461d87a6, 0x67accb56, 0x0dd0a6dd, 0x2d1e18be, 0x8732555d, 0xe6b749b9, 0x0c1e63c2, 0x84d2fb54,
+    0x74f66081, 0x067b7a0c, 0x89be1c52, 0x1e6e0e74, 0xb328d8b3, 0x1f4e6f4b, 0x895f51fb, 0xe7e9ed90,
+    0x63ba8fd6, 0x5f606de1, 0x427ecf62, 0x6dba4e70, 0x26e7d5e1, 0x91c66e46, 0x81a4d8d0, 0xe93f4ed7,
+    0xf2531069, 0x3e59b755, 0xfebd7126, 0xc1de6e46, 0x18f4d402, 0x35455282, 0x61c4a030, 0xfa08d26c,
+    0xc17c2295, 0x4edfb48c, 0x27629236, 0xf1d66a6e, 0x9dd49c9b, 0xfb8c35e2, 0x2de61b59, 0x292be567,
+    0x59be42a3, 0x35e18c64, 0x0db65418, 0x54785573, 0xf3731cd6, 0xf6411893, 0xdb713b92, 0x74c31fc5,
+    0xd04bd1bf, 0x64ee132e, 0x377a4094, 0x887a8385, 0xd87af8ca, 0xc35400d2, 0x516f1d33, 0xb59aaf77,
+    0x36347f2c, 0xdfa06bb4, 0xeb5684cc, 0x2b2b4474, 0x9dc7f65d, 0xb765aade, 0x97d50cff, 0x1593dce9,
+    0x8f9cc86b, 0x709a9631, 0x6e737030, 0x10c1e75d, 0x6f19aa44, 0xedd8e259, 0xbf9fdaa3, 0x9fa5c504,
+    0x23f2d754, 0x8784e732, 0xda1560f9, 0xde5e4edc, 0xeaba2887, 0x4957ba8e, 0x7b4810f4, 0x88d909ef,
+    0xa92db7ce, 0x2d58a66f, 0x1747d58d, 0xb7a8d275, 0xbf5ef985, 0x3aef2672, 0x1bde3bd1, 0x812e5471,
+    0xae3ca38d, 0x9198f00b, 0x14c41399, 0x2b12d7c7, 0xffb8a2e4, 0xd277098c, 0xe2588416, 0x5bf0b41f,
+    0xe28b0f9e, 0x55bfa14b, 0x623ae5cb, 0x4a8b0c18, 0x22ad22c3, 0x28d29bb0, 0xb9b3a718, 0xe0cc9b58,
+    0xd89b1fd9, 0x938d724f, 0xec3f1108, 0x2cbe8980, 0xf8763afc, 0xbc30b6f7, 0xcd9e50c2, 0x1e961c79,
+    0x03c8f00d, 0xeec77af8, 0x9963065a, 0xf4d8172d, 0xd20d74b8, 0xaaebc9fc, 0x530d0476, 0x71093bc7,
+    0x75e0e260, 0x8e470e48, 0x256fad5d, 0xca44ac81, 0x874700d3, 0x3a13e990, 0x7ec3968a, 0x3eb75220,
+    0x77ce0537, 0x37b4741c, 0xb165bc0b, 0x44c855ee, 0x14409b11, 0x285c3574, 0x83b4de36, 0xea26957b,
+    0x7672be13, 0x3777a4ed, 0x60fffc38, 0xddf6520e, 0xb1880597, 0x5370d019, 0xdf2a2843, 0x5f1e888d,
+    0xf3990420, 0x6bfe3f1f, 0x12f3e846, 0x62f9e9bd, 0x86885903, 0xa0fb0bb5, 0xd2dab4f2, 0xfb0f5f95,
+    0xf73f997d, 0x264c8a96, 0xf200bdd4, 0xaf1f5eab, 0x80d92470, 0x6ae16c23, 0x067cfc81, 0xffc4c9aa,
+    0x6b159d96, 0xf7138115, 0x3cfdf2c8, 0x90ab43ff, 0xd7a0e70c, 0x4000c117, 0xc4631989, 0x9fe33833,
+    0x754dcafa, 0x6b94d379, 0x34924854, 0xb88292d0, 0xbf8f3883, 0xda01f22d, 0x633b9eae, 0xa665e097,
+    0x27e25b78, 0xe806839a, 0x1700a828, 0x8b8b6cb3, 0xb448d759, 0xe114cfbd, 0xb5994a84, 0xefa50175,
+    0x7512ab2e, 0x8bb6e0bf, 0xb1ee9178, 0xf0b14923, 0x83a33309, 0x89a1669f, 0x45d26956, 0x2c05961b,
+    0x171436ef, 0xe318066c, 0xae4d2626, 0xa77a99e5, 0x99ed4f16, 0xd8b2dc93, 0x89fb6084, 0x450ab472,
+    0x300f056d, 0x1c036cd2, 0xbbd9142d, 0xc2f2a5c4, 0x6e295ec0, 0x3adf4a03, 0x306f3ac4, 0x5706ef16,
+    0xfeef0a00, 0x3c85cfa4, 0xbdd15fb6, 0xa6e6763d, 0x068f7143, 0xd480c031, 0x05800527, 0x75becffa,
+    0xc5b224b9, 0x682637ba, 0xcc4e7484, 0x7a745a2b, 0x88b0bcd0, 0x569f3e7d, 0xcd774b8d, 0xa9fab1d4,
+    0x2715507d, 0xf115166b, 0x8a2602f2, 0x6d6ef203, 0x9c9b84d6, 0x9cfc33ba, 0x9e7f57c3, 0x8b46f880,
+    0x1e361a9d, 0xfa79f0fd, 0x108fdc68, 0x4be7e01f, 0xc389cf7b, 0xdc884bdc, 0x8609d17a, 0x2c46a8d4,
+    0xddd85211, 0x1c357e31, 0x4c1ceadf, 0x1b68c9d6, 0xb921cdd8, 0x128987bd, 0x8f7a0ef2, 0xf362fdba,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000046768052394588893382517914646921056628989841375232 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc9, 0xa4ea8071,
+    0x00000000,
+    0x86c96454, 0xe86cce95, 0xd02bb881, 0xfaf62baf, 0x64e7cc66, 0x3173983e, 0x341eb036, 0x104020be,
+    0x14b1f472, 0xe4a4fa0a, 0x4db3f15f, 0xc084513e, 0x5bd08e35, 0xcb793aec, 0x4d355164, 0x0230faef,
+    0x579cabbc, 0xd68756f1, 0x7a538d72, 0x42801d33, 0x065949a0, 0xea6e89fa, 0x669a6c01, 0x8861a860,
+    0x84e43c55, 0xaf90f4c1, 0x4e4b721d, 0xa4b4ba6f, 0xf9c3b2bb, 0x6cacbe6c, 0x9ebc838b, 0x5003a365,
+    0x0c408f44, 0xdc1ac49b, 0x1fccafcf, 0xee36accf, 0x965980e5, 0x72605a39, 0x5c706fcf, 0xc89431bc,
+    0xff0a12e7, 0x0db37e88, 0xf1787c9d, 0xa97212a3, 0xb88b75c4, 0xe71deada, 0xfd057a8d, 0x8ada4728,
+    0xa7534814, 0x3165a97d, 0xfead9815, 0x24848ad3, 0x1db4bf7e, 0xbfeed8bd, 0x80a10b52, 0xbd75f3dc,
+    0xf7800b61, 0x6ba85758, 0xcef4cfb8, 0x08264d71, 0x6bcc2a1b, 0xa1afac08, 0xc35b7c5a, 0xfdb331fe,
+    0x34e29f25, 0x7a3b06df, 0x555f20c5, 0x05f03c07, 0xaf93e6c1, 0x53acdb2e, 0xdece5aab, 0x24ec4e2d,
+    0xf0d20ae0, 0x2a35701a, 0x96a5b6f9, 0x242f1627, 0xc1b97334, 0xce3d9e14, 0x817f3def, 0xe845f158,
+    0x50c3ef9d, 0xc39e88fd, 0x179ca04f, 0x8dde4f5e, 0x2abde074, 0xb67be50d, 0xf9fa78ff, 0x03fcf5f9,
+    0xb29d97ab, 0x62ee6420, 0x6758821b, 0x24cad8a1, 0xa105939b, 0xf5a229cd, 0x489c1fcb, 0xd5493576,
+    0x880b4358, 0xab6777f2, 0x93285b07, 0xfb2682d0, 0xdf2adb85, 0x9ad4a1c2, 0x97189b7b, 0x6dc50ac1,
+    0x8647dfd4, 0x0446a7ae, 0x59108c8f, 0x97e0bf0d, 0x82299900, 0x8573d7f7, 0xdb974ec2, 0xf9cabbe1,
+    0x3374ab12, 0x9c91ef93, 0xc69118b1, 0x8cabb5cd, 0x5446dd3d, 0x6895b42f, 0xc08c6de0, 0xf88616c1,
+    0x0b25d6cb, 0x99b2356e, 0x8d367b55, 0x6cfccfce, 0x2ce03908, 0x5a9c42b7, 0x591d0d85, 0xc5f905b7,
+    0x37c1ac15, 0xab1a5688, 0x347bda1f, 0x14be0833, 0x5ea59dd0, 0x2423ce1e, 0x50e20e01, 0xe1870f5f,
+    0x2157242a, 0xe6c60e88, 0x690d2ff6, 0x67de8c5c, 0x6a8d55ce, 0xc235aa3a, 0x3364b11a, 0x24edbe97,
+    0xfaadb895, 0x5c324662, 0x06e3c966, 0x0487cf7e, 0x571b99de, 0xda279988, 0x83cf7192, 0x202e83fa,
+    0xf21dc099, 0xeed312bd, 0x1097ec48, 0xdc80840e, 0xe09abb70, 0x7174b658, 0x83f41038, 0x53f4b42e,
+    0xa9b06e99, 0x2dc69d4f, 0x5ae9389e, 0xfd8b265c, 0xb22e65a6, 0xa5bdee2c, 0xd25a6e01, 0x33cc1b6c,
+    0x8e7f4c48, 0x47a705b7, 0x4319918a, 0x9b5782eb, 0x5ab8777a, 0x3a5f3873, 0xf6f140ff, 0xad021082,
+    0x36751a86, 0x184835b4, 0xcd38b998, 0xdcb19240, 0x4acbc160, 0x8eaab19d, 0x1f471ad4, 0xada66dde,
+    0x42237163, 0x3aff7988, 0x99eb9856, 0x168fbaa6, 0x3bc3fb46, 0x80d0369c, 0x3deb0d51, 0x0abd48cd,
+    0x5ecfbcd4, 0xa6a03416, 0xbfab5c7d, 0x534004a6, 0xcda8e61e, 0xbe0f3895, 0xb15999fa, 0xe3905da8,
+    0x8ddb4f78, 0xafdf27b9, 0x97ac370d, 0xc06ebead, 0xdab3670e, 0xdd400c62, 0xd1e49df2, 0x27678b9b,
+    0xd57cc865, 0xd3e5dbd7, 0xde76eda3, 0x7c5a408e, 0xe458a1b9, 0x5619a121, 0x5704e8ac, 0x4a50d8bd,
+    0x65d8283a, 0xb05fce04, 0x510abae1, 0x20799c59, 0xa413523b, 0x99ec9965, 0x5e313bc3, 0xea65efa1,
+    0x89ff748e, 0xfa93fcd5, 0x89e21bde, 0xe1c4101a, 0xb400ac07, 0xdfa0ddc1, 0xcba9acfa, 0x18bdd13d,
+    0x0e01550c, 0xf3a3462a, 0x62ef89cb, 0xccfbb5cf, 0xcbc9d18d, 0xa6082d80, 0xb61e4d48, 0xddfa0e6d,
+    0xadc2d570, 0x680b2b3d, 0xe2e76087, 0x96f12121, 0x2b043fd9, 0x15667985, 0xb1bab385, 0x0c588aa0,
+    0xf0065cc0, 0x6c34dd14, 0xd9f48747, 0xe280bd3d, 0x91bfdd51, 0x7a369ba5, 0xf10425af, 0xcb5b2bbc,
+    0xa090363e, 0x743fa465, 0xdec71d2d, 0x596d7998, 0x88fd593e, 0x4b6de6fa, 0x7d9e627b, 0x1e9ac2b6,
+    0xf8b15fb0, 0xa57f338b, 0x751ae14b, 0xef61029f, 0x2f7e2623, 0x7da09de3, 0x63763c46, 0xa270fbd8,
+    0x15d3390c, 0xda0eb204, 0x8715f775, 0xc8357689, 0xd971b037, 0x6460bd75, 0x751748ed, 0x525ffd18,
+    0x759c5051, 0x8629c38d, 0x67137605, 0x373ceaf1, 0x5d1ae8a2, 0xb6b2d984, 0x0523f842, 0xb6327c62,
+    0x04496b90, 0xddac247f, 0x00356acd, 0x8b4f037d, 0x703d11cb, 0x622e36c3, 0xedf1de78, 0xf283e2ca,
+    0xde80f5f4, 0x3ebf974b, 0xb385d4d5, 0x0d9758e2, 0x27d2ccd6, 0x2742eac2, 0xb28c8c64, 0x6674ff6d,
+    0x54041760, 0x0948e092, 0x5b129059, 0xe66a4b1e, 0x81a141d5, 0x95357b2c, 0x18332089, 0x616c316d,
+    0x4f732851, 0xef13b3c0, 0x72717ec5, 0xe72fa499, 0x903bc530, 0xf2b25b97, 0x4d80eb2e, 0x8d2d3518,
+    0x0e6058e0, 0x94e6e8a9, 0x479b3b6f, 0x9a14a2d3, 0x60f71866, 0x1bb6cf82, 0xe7dc9263, 0x60335ba9,
+    0x857a20fc, 0x26781391, 0xdc7e0262, 0xb2ad8683, 0xdbfc5a27, 0x4149965b, 0x9fa74f02, 0xa51ed58c,
+    0xe1398527, 0x4b4875a7, 0x02c82aa7, 0x5ce59665, 0x987df6ee, 0xd255db51, 0xc112cbb2, 0xd35785c0,
+    0x0c23624a, 0x4578d985, 0x4d160c92, 0x094d50ac, 0xb6cb8a7b, 0x729a4de5, 0xc569f3d2, 0x1819a1e2,
+    0xd4d8a5c7, 0x8ef60e2e, 0x98537f41, 0xaa7db13a, 0x4a4bece9, 0x963fe3d3, 0x2ef7130f, 0x21f4f3dc,
+    0xbb92a2fb, 0x35ee868d, 0x7ee15b3e, 0x2420493b, 0x0c58fadd, 0x97143bfb, 0x80d6792e, 0x6223dcb0,
+    0x55903e61, 0x6cd95587, 0xfc83b54c, 0xdfd68259, 0x45bcd1a7, 0x442ef9bf, 0x0ab6b052, 0x469d4472,
+    0x0891b09e, 0x1573c082, 0x8cef2050, 0x488f0408, 0xf5d3a758, 0x5a610431, 0x5b7c4cac, 0x55e29ef7,
+    0x4b9fa4fb, 0x96f1a035, 0x1b80ef79, 0x66680d06, 0x5a3149f0, 0xaf024cf5, 0xda29cd6d, 0xc045de69,
+    0x27be1f20, 0xf544e2fb, 0xcd8cd661, 0x3b79c44e, 0xf3924b31, 0xcc503d6d, 0x007f9a91, 0xecd7a831,
+    0x68c0e626, 0x24b2905d, 0x5931d505, 0x0dcec3a4, 0x0ac4c455, 0x0632d520, 0x4939bb1b, 0xced43943,
+    0xb8a66e80, 0x40fff7b2, 0x3eeb0790, 0x38c95bf2, 0x67b7c48a, 0x38325f3e, 0x979d7ddd, 0x878ef848,
+    0xe11bffb8, 0x0d17925f, 0xb86b8d9f, 0xb412c4b3, 0x9f0f5c5b, 0x2fa6bb70, 0x70633d42, 0x7490bc8c,
+    0x783a042a, 0xa178fc45, 0x3f9c3f68, 0x66956f80, 0x9f88479a, 0xba68d6b1, 0x4c0b5e54, 0xce5b65cc,
+    0x826944cc, 0xc16d795a, 0x341b4164, 0xfee32d4d, 0x44605928, 0xfef390cd, 0xcab8ea72, 0xfa34ff42,
+    0x90142639, 0x4faadaf7, 0xb1e9d3e9, 0xc76ac3ec, 0x4cddf90e, 0x0d525a1c, 0x882e0866, 0x3cc633d1,
+    0x3d920774, 0xaf801df2, 0xf3d967d0, 0x3acb545a, 0x73e4c73a, 0xe0f9b4ec, 0xbe8cebbb, 0x60a2eaed,
+    0x001bb1f9, 0xa3c87567, 0x6a6858c4, 0x07d24ceb, 0x9010a667, 0x14af1f2a, 0x1cb8a9ad, 0xbbd86a21,
+    0x303b3cfb, 0x0774c6e8, 0x35d98826, 0x1cff5e4e, 0x9b5c35d9, 0xa2a39d9a, 0x14aa7228, 0x5fa159c1,
+    0x36bb1740, 0x47aec808, 0x0864aa01, 0x47632e86, 0x9861e378, 0x049d83ee, 0x862114ae, 0x97758699,
+    0xb824eafc, 0x0001e2ed, 0x4a9d7ed8, 0x9d7cda7a, 0x19f0c7b0, 0x72151dbc, 0x16e52efb, 0xc8415b04,
+    0x5fbf90d5, 0xa930dbdd, 0x853fe563, 0x867df3e2, 0xe1a65c0a, 0x4b8ad127, 0x5b43a797, 0xf1ea81b5,
+    0xb5ea0339, 0xef8306fb, 0x559cd1e2, 0x9c4599d0, 0x6670bf46, 0x704d120c, 0xcebce069, 0x817ba68e,
+    0xd8e399c8, 0x34348bcb, 0xd234bbc6, 0xda061b6d, 0x590423ea, 0xf9f371d2, 0x5160bd0c, 0x8266fe5f,
+    0x805bece4, 0xb214ea72, 0x3c970de4, 0x90b0c568, 0x4e422fcd, 0x8d01cba8, 0xe9bd6786, 0x2b2b532c,
+    0x4288eaf5, 0xccd93ed9, 0x46af7277, 0x67885279, 0xf313b9de, 0x5e1a4cc1, 0x561c4b09, 0xc107148b,
+    0x3e7825be, 0x7b1f7e9b, 0x48cf65b6, 0x961f8e5b, 0xe12e36cd, 0x881f0435, 0xc1020d97, 0x7deec5ae,
+    0x54585626, 0x7eb1f9d7, 0x81c7fb18, 0xe4c5e4ad, 0xad19cf25, 0x1575437e, 0x3b2f0ce7, 0x224d2ab2,
+    0x10d08cee, 0x63326ad8, 0x168a82c8, 0x0d1d954c, 0x0245aaa5, 0xe234dbc1, 0x5ccbdb92, 0x3b704ebc,
+    0xbd47abd8, 0x3346f840, 0x73992c22, 0xcb3cb72b, 0x0bee93ef, 0x91325a90, 0xfdd60aa1, 0xccff877e,
+    0xf0734a50, 0x04fdadeb, 0x5f20e0fc, 0x083b520a, 0x217f2cd6, 0xac3ee549, 0xfc8a3534, 0xe12a37ef,
+    0x0a8efa79, 0x6b48c26e, 0x1993b53c, 0xe9da56a6, 0x0c97e18c, 0xae45fa82, 0x0dff5970, 0xd012ef8e,
+    0x3c66d375, 0x7204b50c, 0x1002be32, 0xee25f766, 0x4f8b43d6, 0x70a19cb0, 0xedb52a8a, 0x1810f3ac,
+    0x4fc97e31, 0xa5f990f1, 0xab02649e, 0xd6cc74cb, 0x6490aeff, 0x0a50f47c, 0x380d3f72, 0xa757ef1a,
+    0xe7cdfa96, 0xdfd9a1cf, 0x2f14495e, 0xb8263b4b, 0xd8c078ff, 0xdc61d86d, 0xeac3fa63, 0x326a6c53,
+    0x64171a82, 0x281869e1, 0xd5c68f13, 0xc03c651d, 0xe8b31c54, 0x37bf22b6, 0x042c996f, 0x0dc36cb0,
+    0xbbbf78e4, 0xca9704c8, 0xf659e6e1, 0x73b4098f, 0x4fe4c513, 0xab8135b3, 0x8a8a316d, 0x63a34aab,
+    0xbdf86407, 0x935fc017, 0x3cc6d2a0, 0x2d4f6206, 0xcdd5b37e, 0x9555f5da, 0xc9418a8e, 0x36d96a00,
+    0x6e13a42e, 0x28e97016, 0x0aed7730, 0xa5b6e6bc, 0xf74c9afb, 0x153a4f7c, 0x96bcd7e0, 0xe9d5a163,
+    0x1e35cd7d, 0xb8f11668, 0xdb287f5c, 0xa8d15b7e, 0xcb2913b0, 0x5dda4132, 0xcb05ccd9, 0x341924a1,
+    0x0421910e, 0x83503877, 0xc32a7ebc, 0x0658b8a8, 0x3d3024e9, 0xc405c874, 0x5bec3e48, 0x27ed7b4c,
+    0xd8db1393, 0x4c101e27, 0xf39e50d6, 0x61d3699f, 0x9118befa, 0xcd133ebf, 0x606ceffb, 0x762ea7dd,
+    0xe9e7ebbf, 0xeadda96e, 0x1eaeec09, 0x9d0d1440, 0x4bc57b8c, 0x9dccf8cb, 0x0a675ba4, 0xf92d5a83,
+    0xb6eb961c, 0x8774bcd9, 0xecedd067, 0xa18d626a, 0xeb8a7b23, 0x525555b9, 0x931ee6dd, 0x119a20fa,
+    0xf78eae77, 0xf2e885d7, 0x8fba69f4, 0x267524dd, 0x753578a1, 0x03119f15, 0x06568dc5, 0x06d02db3,
+    0xe3dde51d, 0x2ff8ed8b, 0x2b9abd79, 0x81e7b69c, 0x6722ae11, 0xf1c6dc37, 0x89f84613, 0x428a1820,
+    0x1fa4fb5c, 0xf6bacf26, 0xe92efc46, 0x0069d5de, 0x2828bb65, 0x9745c047, 0x70bada8b, 0x0df403c1,
+    0x76bd28d3, 0x56bd4328, 0x40a9597a, 0x13599d91, 0x77707027, 0x56af6210, 0x328a8d13, 0xfcc832b5,
+    0xa9b8126f, 0x0e710317, 0xd871b4e8, 0xba65861b, 0x630f5ea2, 0x8c2d0cea, 0x3bc5a93c, 0x26cf7414,
+    0x20c1ab86, 0x985713a4, 0xa5196fca, 0x0abdd536, 0xa55ad18e, 0x13437a04, 0x5b7263f4, 0xeb4e71ae,
+    0xffd27a4f, 0x3dc3b1f7, 0x75df3398, 0xb2592270, 0x573281ea, 0x716e804c, 0xb442b3cd, 0x8572454e,
+    0xa2bd8a0d, 0xda133562, 0x17bdef1e, 0xa236dd55, 0x937c8f9f, 0x204ea7a5, 0xc20cac54, 0x53d93713,
+    0x2e463d4f, 0x1cb4b306, 0x1831082f, 0x9cb3b096, 0x015ccfab, 0x7cd0ceb0, 0x2daf2a39, 0x62c98cff,
+    0x5b06efa8, 0x313ef340, 0x36ae259c, 0x0ee7bef5, 0x2921836b, 0xc0401fda, 0x04d2cfd7, 0xa540dd8d,
+    0x06e737e1, 0x4c399384, 0x0ab18157, 0x0eb1675b, 0x3a6d8f34, 0x04ccf9d5, 0x19cdf59e, 0xf13c94f1,
+    0xaeb7569b, 0x7e06274b, 0x100b294e, 0x1c673f0a, 0xa83aafb9, 0xd711409c, 0x344cbbd2, 0x56cdcd60,
+    0x08bee704, 0xb32ff0a9, 0xe4d6ea3a, 0xd929c228, 0x3d7a627f, 0x0eb31881, 0x4944c8da, 0x704d81b2,
+    0x61a74cac, 0x04976c06, 0xdf67ad79, 0xe8ec9eb7, 0x53e90f17, 0x6e39e6f7, 0xa8e5cb0e, 0x0ca2848c,
+    0x198129ff, 0x2a5e9dbc, 0xd4357cb3, 0x42ede8ff, 0x1799f2d8, 0x86cf6167, 0xc0fcf240, 0xe879f861,
+    0x7c73e105, 0xf55a2707, 0x7c68b87b, 0xe0a289bb, 0xde767a0f, 0x2569bb76, 0x07ecac9c, 0x4ad6d376,
+    0x5e8c5b8a, 0x1a27d738, 0x7fc0c066, 0x39650db2, 0x21e3aef4, 0x4220be1d, 0x7b5aeae5, 0x14352076,
+    0xa5d40ff8, 0x467cecf4, 0x71453d9e, 0xbfed8e77, 0x92bdf921, 0x0dde429b, 0x80943757, 0xd4745f80,
+    0xf4647869, 0x5572c4ec, 0x01a858a0, 0x5033e173, 0x7356e7d2, 0x640fbdf0, 0x0802cc03, 0xaa80d7af,
+    0x4ae0a177, 0x54e2f3cd, 0x560fe977, 0x609afa0a, 0x43f7e6b0, 0x68160289, 0x38bf7c3b, 0x98a96c7d,
+    0xc76f85de, 0xd476febf, 0x506e38fc, 0x9635e189, 0x1c1c39bd, 0x0594e03e, 0xd307a7d1, 0x0e1bfe9f,
+    0xbf1cc0c4, 0x7082231e, 0x0468432f, 0x1f9c0729, 0x1e56a323, 0x7d10a01c, 0xadd766d2, 0xd727d593,
+    0x69742c2d, 0x3bf4829a, 0xea73b6f8, 0x83d86008, 0x3021e964, 0x14d0719f, 0xe9c09e97, 0x1874cf9a,
+    0xd3e74019, 0x1e318e26, 0x57ce68dd, 0x3a315574, 0x075f40b7, 0x18252bb5, 0x0326490d, 0xb0153de8,
+    0x2cee5556, 0x527e474e, 0x89e8cfa6, 0xa23ad59c, 0x5ee7271b, 0xf01ea74b, 0xa4bcf990, 0x2c1295ba,
+    0x3b2dfca6, 0x816da6c2, 0xd920d66d, 0x0fcee204, 0x8cb09b23, 0xe8fc728a, 0xf634b17d, 0xa67e5af8,
+    0xeb986229, 0xb43032ee, 0x0c8024c0, 0x204cae34, 0x0392496c, 0x25fa9f89, 0x3bae0382, 0xd946013f,
+    0x49b50821, 0x0156041d, 0xa8ed4c0a, 0x483dce59, 0x2111ba31, 0xff883996, 0x2ba873b0, 0x05a77bd5,
+    0x80a1da03, 0xf3c9c7be, 0x6ba6b89c, 0x571bfd82, 0xb77db12d, 0xa86df6b8, 0x32384065, 0xd4c45737,
+    0x9506467e, 0x703872e0, 0x3e4750a0, 0x056d3fa8, 0x1155dc94, 0x2410c6a1, 0x983e2302, 0x6fd809bc,
+    0x7e998047, 0x45a573b4, 0x16b1998e, 0x020a6a14, 0xe2dca876, 0xe2700fc8, 0x7dcad924, 0xf76af137,
+    0x210e856c, 0xb22bd51a, 0xcfd499ab, 0x9ee8731b, 0x2ec61605, 0x1ffa7d80, 0xe872f072, 0xad9ace79,
+    0xe8c23821, 0xab5dcdae, 0x114b0f04, 0x1b454237, 0x056a11df, 0xbcb31f2a, 0x1e2ebcd8, 0x93f355ab,
+    0x843b5660, 0x4d92c59f, 0x3ef9b503, 0xc76a6df1, 0x5d4c5781, 0xa4bff444, 0x8098bc7e, 0x2b230582,
+    0xbc942718, 0x31373e43, 0x65ff5908, 0xb4912f45, 0x51151573, 0xf8b59081, 0xfec48339, 0x2fa39f96,
+    0x6158641d, 0x7c62b6f0, 0x7fbd2b2e, 0x33a2e142, 0x5ce6f4c5, 0xca226669, 0x4a6994fa, 0xe82ddf82,
+    0x7bbe072e, 0xf95ca815, 0x5f76b62f, 0x9b2ca0bb, 0x49ab8847, 0x1ae21e8d, 0x4f9dac71, 0x757efa94,
+    0xee970ace, 0x24df8777, 0xec093a51, 0xa4633c83, 0xd0b6dee1, 0x870b5a73, 0xf9a74621, 0x98d9c2ee,
+    0x4a11fe3c, 0xc51433f7, 0xf0bc1b5e, 0x29bbc22b, 0xeec6147a, 0x39cac961, 0x7aa34aea, 0x099e276e,
+    0x66bf403f, 0x54a2b431, 0x61b0adea, 0x639aef3f, 0x4ecfff33, 0x21e10a7e, 0x965cb24c, 0xc865ee07,
+    0xf2d6799b, 0xaafd3b12, 0xcce58819, 0x543e7eab, 0x0386c062, 0x97114a9d, 0xc4523c3c, 0xacef294c,
+    0x45c91ac2, 0x880dad3a, 0x6b5b54b1, 0x6d735e74, 0x90979a4c, 0xe0a5f63c, 0xecde32a0, 0xd913f27f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000023384026197294446691258957323460528314494920687616 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049664, 0xd2754038,
+    0x00000000,
+    0x83597a08, 0x2f3e4aee, 0xd8e567fa, 0x8766fe07, 0x47a7d37d, 0xae0ef158, 0xdddd376c, 0xdebd53ec,
+    0xae8ef2ca, 0xc9d95f21, 0xda8f5c16, 0x7db0656c, 0xb6a42aeb, 0x7cb4a6a3, 0x87aad4d4, 0xde734aea,
+    0x172b9bea, 0xeee97d0e, 0xa14e825a, 0xbf69f7c2, 0xc508104d, 0x9fdf0dc4, 0xa073db75, 0x21398bb2,
+    0x485a1c36, 0x82123d05, 0xb0f2efc7, 0xe617fce6, 0x138b9928, 0x5758e033, 0x79afb2f5, 0x8fc53f76,
+    0xab0a83e2, 0xf37787cb, 0xfc60b9c9, 0x6624818e, 0x14e08c77, 0x571a267a, 0x5167a205, 0x0330f0c5,
+    0xfdf3d4b5, 0x5f6a13c9, 0x82ee45e2, 0x606a7c21, 0x6ead8516, 0x241a19f4, 0x262273d3, 0x77623d7c,
+    0x1ecca1ad, 0x3f4a8761, 0x5f5f20b1, 0x0864d033, 0xdd353a99, 0x4d926601, 0x670afec9, 0xb730cb13,
+    0x4adb9db8, 0x8801b142, 0xf3c24ddb, 0x5c56dc03, 0xfee5325f, 0x8cf2fe6c, 0x35627826, 0x3a61f0ba,
+    0x62203c86, 0x59ce36fc, 0x05c90fa5, 0x956bffef, 0x81f5210a, 0x84c842f3, 0xdf606470, 0x650e6c6d,
+    0x07f744a8, 0x608017ce, 0x99a90168, 0x6bc9c4e3, 0x644aa90f, 0xeace0a54, 0x5065932d, 0x651c52d2,
+    0x384a4030, 0xe2ec50d1, 0x966f9950, 0xd466d9a1, 0x8bb1a856, 0xd7167dae, 0x7a457a0b, 0xc8a345a7,
+    0xec7c3db4, 0xccddc1e5, 0xac7382b1, 0x85ef23a4, 0x215ee474, 0xfed2dbf3, 0xfc85e207, 0x70dea35a,
+    0xc3bacfb0, 0x66816c47, 0x0d215370, 0x68a0651c, 0x5a212d17, 0xa8b747bf, 0xf6595b91, 0xb9cdab37,
+    0x48fc37e1, 0x60409e70, 0x4c6760b5, 0xff85dc2f, 0xd7a6f189, 0xeb32a31f, 0x62055a5f, 0xad438bbe,
+    0x21c3040a, 0xeb9b4f38, 0x11204c9d, 0x470b86ed, 0x2a1ffd23, 0xf9e2ea60, 0x877cc93a, 0x49eeb4d1,
+    0x910ea1da, 0x0ba1be88, 0x8281a166, 0xc11f8b84, 0x07984aeb, 0x33875dfd, 0x06024594, 0xe19a3f1c,
+    0xfec2030f, 0xef5c2886, 0x03f13c86, 0x7ac2db34, 0xf2f0c8e1, 0x6c784292, 0x4e247929, 0xe96a1ee5,
+    0x08d1707b, 0xf00fda05, 0xfe53dc79, 0x7937e99e, 0x5f98fe11, 0x80a54048, 0x4320492e, 0xf16eedca,
+    0xee9f91eb, 0xbae1f519, 0xe592adee, 0xdd9a4b36, 0x7e292c54, 0x0f3412fe, 0xbedffc5a, 0x6fdb0265,
+    0xa6931ee8, 0xa737cd78, 0x76e84fc8, 0x6264dee0, 0xf06f3384, 0x4ae9a40b, 0xd13e0b5d, 0x30b77186,
+    0x857645b5, 0x2a3338ac, 0xd20e98b4, 0xfaea39ca, 0xfa1926f2, 0xdcadd6d8, 0x6661bdcf, 0x4ac38237,
+    0x3464e98f, 0xa3cb151e, 0xd5108473, 0x85b801c4, 0xbd24646f, 0x0220ab6b, 0x7c39228c, 0x77301719,
+    0x5d4cb0b3, 0x08704619, 0x374653e8, 0x62506803, 0x5c8b0e44, 0x1c50df5e, 0x6f322260, 0x2b858d8d,
+    0xe0fded59, 0xd8e49b5d, 0x1b2ddac9, 0xe7a2f321, 0x0199da85, 0xd5a88561, 0xbc80e5b2, 0xce1966c0,
+    0x06c97640, 0xccb392ca, 0xa23ab588, 0x53f9f1f2, 0xf6371d2a, 0x0cb65687, 0x419196d8, 0x0741b294,
+    0x452e2926, 0x07d0f10e, 0x7dae568b, 0xc4a2058a, 0x7c71ec6c, 0xb9852d4c, 0xf0da1060, 0x0f37ed1b,
+    0x9753be74, 0xa9aaac04, 0xad4538f1, 0x623704c8, 0x75c9f525, 0x74baab3b, 0x3b23fe29, 0x21a942c5,
+    0x76d14417, 0x185e040b, 0x8defb70b, 0xaf81a561, 0x7ce66ee1, 0x1ee6fe09, 0x77aa0e3d, 0xc5dfed97,
+    0xb61ab44e, 0x35ab33d9, 0xf318cc51, 0x9e8bb56a, 0x51dc5adf, 0x888e90cf, 0xf9e4154e, 0x45bab6c7,
+    0xc4d869dc, 0xe782c5e5, 0x1c53c0d5, 0x67d75aaf, 0x3f403d80, 0xf22bd4a4, 0x2d56c5c7, 0x60425a28,
+    0x36d77b21, 0xfa6d2ff3, 0xd7f6d091, 0xd5a0bde8, 0x488742e3, 0xfbeaf827, 0x8e852b91, 0x53432f28,
+    0x3486a269, 0x64ecdba0, 0x2031432e, 0x257f102a, 0xb9f969ec, 0x37789520, 0x605857f9, 0xafc315e5,
+    0x4292395b, 0x0a441792, 0x0637ec98, 0x51a4c599, 0x0bd6d576, 0x1ab68cc3, 0x619382a1, 0xdfc2acb6,
+    0xa6435e80, 0x05ef571e, 0xfedce2e3, 0x340b48a6, 0x5a40683b, 0xd20d8f59, 0xf9df9c72, 0x3d2cdf15,
+    0xc7465fbe, 0xcc8cd8ab, 0xa9d563d1, 0x20ef4a3e, 0x0f64a058, 0x7c126eb6, 0xd0a981e4, 0xd4302507,
+    0xc61acaee, 0xde9ea86a, 0xe10cff6f, 0xea54f7e9, 0xc3bec137, 0xfcccb21a, 0xbbf2110e, 0x97f761d6,
+    0x54453db4, 0x68d4ee2e, 0xde89ac81, 0xb5a412b4, 0x952868e6, 0x869afd36, 0x07ba6162, 0x23174c66,
+    0x5e1243e1, 0x23354c8f, 0xfae417ff, 0xdc9d79d1, 0xbe80ce70, 0x422a4a6f, 0xe1c4c140, 0xd5a441b6,
+    0xa95780f5, 0x2ccb3336, 0xe3bb31ee, 0xaa42babc, 0x2ea3fe10, 0x13d40bf1, 0x137f8691, 0x53537a10,
+    0x7b50a5b7, 0xb4f9f157, 0xa59eadcc, 0x3f129377, 0x2a2df730, 0x5325112a, 0x8201334d, 0x8acab079,
+    0xb88851a2, 0xe74c117c, 0xbaf50ebe, 0x8ca81a3d, 0xdc0c7303, 0x672bbc7a, 0x7e3351f1, 0x133f9bab,
+    0x31e6f1b4, 0xc3cd36a4, 0xe9cf0472, 0x79a71a88, 0x41836744, 0x1f324cc9, 0x771c68b6, 0x482d55e2,
+    0xe133fe8c, 0xd5d06c42, 0x1059b39b, 0x9ab87fcc, 0x9e67b3a8, 0x73cef228, 0x464c96a3, 0x7a44aa80,
+    0xf2fd3fc9, 0x6f45a404, 0x7ba36085, 0x45e23986, 0x3bea91b4, 0xd0ba5e3f, 0x4fd10e1c, 0x12d45576,
+    0x81917f89, 0x617f2ca9, 0x54896a7d, 0x97eabc7a, 0x86cbdd33, 0xe57839cd, 0x2756f229, 0x8b9a0c02,
+    0xa1607998, 0x07852431, 0x3c5529bd, 0x67e75b18, 0x7b6747bf, 0xc94313b2, 0x951f15fe, 0x5a07f604,
+    0x972af63e, 0x0164ec74, 0x2ad476df, 0xb8337ca8, 0x2e3511d5, 0x9c14f67f, 0xa9feefcb, 0xde040504,
+    0xb2085931, 0x849e627a, 0x78c7c85e, 0xdc8faac2, 0xde2df34e, 0xf5ae3aaf, 0xeed420e2, 0x73683ddb,
+    0x7e0a41e6, 0x7ece1075, 0x530097bc, 0xd72ae54d, 0x6eafe35b, 0xf79c50ef, 0x495d4981, 0xe2a5c108,
+    0x87216f9d, 0x6280770b, 0x9dafd546, 0x35505e10, 0x2efbfb5a, 0xa7a6b349, 0x3cce6229, 0x8e32181b,
+    0x12fcd6f7, 0xa0300f6e, 0x329b96f7, 0xea02a6c6, 0xf4e45ea3, 0x729f17f1, 0x0107ff89, 0xacf03a11,
+    0xe755e897, 0x60260bf5, 0xb055c4d7, 0xfc3d7c4a, 0x89ede27e, 0xa059f726, 0xb5664b53, 0x1e582142,
+    0xdc857acd, 0xf0c2dfc5, 0x7c905276, 0xa98bd5c0, 0x6ad407b7, 0xb521326c, 0x4aa87701, 0x22c095e3,
+    0x060fe4fe, 0xd80fafec, 0xe5485978, 0xbc7f9fd9, 0x90e00506, 0x0d0cf58c, 0xd2760afd, 0xc61c8c21,
+    0xb32db581, 0x0f3f2906, 0x6751ce87, 0x4b31513b, 0xf7c9dcdc, 0x3c3fad0c, 0x25d0abec, 0x6bd4138e,
+    0x85471ec2, 0xf8d5938b, 0x2948b0b4, 0x012eb6aa, 0xa4690194, 0xbabd861b, 0x0cc880d2, 0x262160d9,
+    0x41cebfc9, 0x166ff6b5, 0xd5d4b2cc, 0x2f71a1a5, 0x3cef34a6, 0x4a8787ea, 0xe19094eb, 0xcc3a54f4,
+    0xc6b6136d, 0x5924c2a6, 0x43d20992, 0x2e0b6524, 0x63346c74, 0xffa7e023, 0xa72edada, 0xcdb2d02e,
+    0x52bd5115, 0x08be3181, 0xb523b504, 0x67f4115b, 0xcebb9f85, 0xf20984d6, 0x14a758ff, 0xa4f29541,
+    0x046f9f40, 0xd52f3709, 0xec32308b, 0xc2620f94, 0xbeb9ae71, 0xd37aef31, 0xb3169fd5, 0xcef91b2b,
+    0x96b38a9d, 0x4cc388cc, 0x173a8201, 0xab7e3e81, 0x553789bb, 0x0e653f08, 0x2dedbec2, 0x8abe7453,
+    0x4a2f1feb, 0xab8bba1d, 0xf2fac277, 0xaa5ffe78, 0x25be851a, 0x9ed6b052, 0x227ed82c, 0x58174773,
+    0xaa8c19fe, 0xecf1157b, 0x4c461597, 0x68fe05f9, 0xd344c59c, 0xd9a08224, 0x3af477a2, 0xc261244b,
+    0x18293f72, 0x29957370, 0x62d10272, 0x447ebe6f, 0x53d68525, 0x40800028, 0x676e44e2, 0xe76dabf4,
+    0x6a722f1f, 0x4b673aab, 0x3e6f859e, 0x73faa3f0, 0xf34b7d39, 0xd996e877, 0x180fce6f, 0xa6e44a12,
+    0x505e7320, 0x652b5fe4, 0x27bc3786, 0x081350a3, 0x37fd47a5, 0x82a33ffc, 0xae1e6e9c, 0x20109926,
+    0xd7016df3, 0x07997c6e, 0x83301254, 0xa15360e6, 0x4bf6d4bf, 0xea0d0a1e, 0x8f4c768d, 0x4a4e62e5,
+    0xb5e9b135, 0xb49dc353, 0x526d179f, 0xfb0c3a55, 0xbb83ab2c, 0xecdc7245, 0x620438cd, 0x8e77410d,
+    0x3ed9d998, 0x575bd72a, 0xc6dce1f1, 0x52f3efe7, 0x76dbefac, 0x0683b696, 0xc025bfdd, 0x27350c1b,
+    0xecfd51ff, 0x69caf5c8, 0x832ef5e2, 0x7eae5d11, 0x16d1c659, 0x99347a46, 0x8180cc79, 0xfc80c3db,
+    0xeee99df4, 0x9aec485f, 0xfe083329, 0xad5661f9, 0x4f9cb0c7, 0x02f3a0f6, 0x62c9c061, 0x80314c81,
+    0x491d07ef, 0x19fe362c, 0x6067724f, 0x2f39b60f, 0x561eb5c0, 0x548a03ea, 0x8eb8a1df, 0x2277ece9,
+    0xc519df96, 0xbc4031eb, 0x5e834a2d, 0xd0006dc9, 0x1c333f87, 0xf1efcb40, 0x0e937acb, 0x648db768,
+    0xc1552392, 0xd5c712ca, 0x5d14397c, 0x5c8b7337, 0xc1e8808a, 0x13aafa55, 0x166c06dd, 0x7efa6dc9,
+    0x60cff331, 0x5d4fe1bc, 0xc6d61037, 0xebf5f692, 0x0a3b2378, 0xa036e397, 0x2e2a4b8c, 0x793c3d86,
+    0x4c685f36, 0xf527ad4f, 0x4f88a7ff, 0x72117325, 0xfdac995e, 0x454f1aaa, 0xd471126b, 0xfab72f73,
+    0x3c17451d, 0x1a57bc31, 0x2271dad7, 0x94b9cb5e, 0x3f2baec3, 0xa0695f9a, 0xf1311faf, 0xf8d8f324,
+    0xf17ca583, 0x499c3edd, 0xf70c6ce3, 0x81eacb60, 0xb89dd295, 0x8b000beb, 0x4b20d94e, 0x0505182f,
+    0x7eb15471, 0x63fa720e, 0xeac403ed, 0x3cbf60cb, 0x2ad9a77e, 0x9455c9fe, 0xd8ce4937, 0x3360c704,
+    0x374d7b9e, 0x2a5eec9a, 0xecc1df93, 0x1331df92, 0x5861d1a9, 0x923772e7, 0x85235d1e, 0x740cbcc1,
+    0x4b2ba36c, 0x7c689d81, 0x12cc11f5, 0x1243a17b, 0xc17c26f3, 0x1ccc2c68, 0xa108b286, 0x36709b02,
+    0x2bca3b83, 0x57702632, 0x9c553a20, 0x932e7037, 0x7fa0641f, 0x16490887, 0x16caa2e6, 0x14639df3,
+    0x484873c2, 0x2af05fb3, 0xa60e4c6f, 0xe122d8da, 0x6937fe5f, 0x70148a60, 0xd5b1aa9f, 0xc2471c6d,
+    0x6db1043e, 0x60976bcf, 0xef1bd7c5, 0x212e131a, 0xb37851bd, 0xe567c66d, 0xf2c0af7e, 0x53bab15b,
+    0xa2e29487, 0xc2b8dabc, 0x3074bd69, 0x0ee50c9e, 0xe11c738a, 0x66046fd0, 0xbcb4180a, 0x3c7a8dc3,
+    0xfbd49d3c, 0x8e52143b, 0x09a2a211, 0x0468b472, 0xa1165462, 0xddbc0644, 0xb4434b3b, 0xe4cc78dc,
+    0x184bac6e, 0x050141b7, 0x62ae82fe, 0xb52c3dd2, 0x1d3b1cd3, 0x3f779653, 0x5f1f0e8c, 0x9a3a3c1d,
+    0x772be3fa, 0x4dedc4ef, 0x94719bb1, 0x867ac34e, 0xb19c0c0e, 0x03c23ff6, 0x6afbc2e4, 0xfdaf4396,
+    0xdebbc0c1, 0xeab76a7a, 0x80ce026e, 0xf79020ac, 0x11d27268, 0x375edc34, 0x65f95531, 0xdafad5af,
+    0xab8f4036, 0x6fd2afa5, 0x9cd1f0ea, 0x88cafd7c, 0xe084efc7, 0x37f94793, 0xc9724a20, 0x8b1b99f2,
+    0x837494be, 0x5a2f72b3, 0x772deb10, 0x9ef6f345, 0xf31d2fa4, 0x2aa0df47, 0x123e54cd, 0xac132943,
+    0x8e0d9f0e, 0x428a3f2f, 0x5ca3b3c7, 0x3b3acd41, 0xa8ae9aed, 0xb75b4b45, 0xdfc66a0d, 0x622ff906,
+    0xa6a3f3c1, 0x80a98ff7, 0xdda13df1, 0xe98cd4b1, 0xd38f2a56, 0x44d6879f, 0x3312547e, 0x1708bd2f,
+    0x6600b26e, 0xc87537bc, 0xb720fc6f, 0x9cb0427a, 0x4d7892a8, 0x808a3ad2, 0x38888b57, 0x3cf8532e,
+    0xe2792d14, 0x298fa933, 0x8a0bc82b, 0x6a9157a2, 0x18401a5b, 0xbc281749, 0xb4c9f52d, 0xcf19715f,
+    0x43880b8a, 0x0f7f98ee, 0x16fa0f4d, 0xef13a51f, 0x6a3b696e, 0x60333263, 0x8cd9c86c, 0xc11157a2,
+    0x8235a436, 0x138694f8, 0xfa263c77, 0xcff67c13, 0xf21366a6, 0x1b7c91d5, 0x06f5aa56, 0xdb4b1c8f,
+    0x61cc2b9e, 0x4ae8ff00, 0xa137c83a, 0x637be1e6, 0xb23c30a1, 0x7fc7fb63, 0x3c4b764f, 0x14b5b2ed,
+    0x03e4b67f, 0xaa5a3da0, 0x4dcc4b76, 0xdd3ede09, 0x412cdd78, 0xa0ebad68, 0x250c83ba, 0x0687ffbf,
+    0x18adac79, 0x337ddaaf, 0x761bfd2b, 0x311df5a4, 0x59d49ff0, 0xf433b6ce, 0x42c8141b, 0x9095e2f7,
+    0x177dbf48, 0x4ac1acb6, 0xc96beb14, 0x3df58c9c, 0xa925cdb5, 0x15048aa9, 0x90b71533, 0xc84b9f61,
+    0x28fa3c68, 0xddad12d0, 0x8b1ee554, 0xc6dfb753, 0x39c2cac7, 0x6ac66903, 0xa138c285, 0xa7b61661,
+    0xe0770f47, 0xa82b9cbe, 0x39c5e447, 0x0bbfd20f, 0x4bef7958, 0xa9fb0985, 0x2c62bae3, 0x9e597b90,
+    0x58f240f6, 0xc522e60a, 0xe6073b94, 0xb1a5a784, 0x0f01aa84, 0x1305cf26, 0xfe98ab42, 0xc3bb0ddb,
+    0x158fed23, 0x4d04540d, 0x361901fd, 0x0c1b5532, 0x61a06d79, 0x3642a67d, 0x6757597c, 0xc6f67707,
+    0x29939c6d, 0x3cf448aa, 0x65f6317a, 0xc048a7f3, 0x14ce1eda, 0x7152acd6, 0x8a504202, 0x1ef2863a,
+    0x1decf44c, 0xa3fcfadb, 0xe6cc9145, 0xbda82bf1, 0xa9ae9fc7, 0x8931b279, 0x6519feca, 0x82ad2e94,
+    0x8fe836ce, 0x6e456fa8, 0xbdeb7d0e, 0x8cb9f5d7, 0x657938d0, 0x543a20ea, 0xaf1c785a, 0x10680fb4,
+    0xc54cf41d, 0x16785808, 0x1327875a, 0xebbff948, 0xfcd6fefb, 0xbeea771b, 0x2f82052c, 0xa5f7b5ec,
+    0xff2a52f0, 0x78b6964f, 0x4d87c69a, 0xff478104, 0x66e83c3a, 0x45c6d6d6, 0xc3abc36b, 0x3777c8df,
+    0x1a1c4f0e, 0x2b7bb883, 0x369eea78, 0x712977e4, 0xcae64dd2, 0xa65eb73b, 0x88426007, 0xd409e636,
+    0xaed77b47, 0x89a14668, 0xd5d6ff40, 0x9c11cdcc, 0x95514da6, 0x57da03db, 0xad86d213, 0x11b61c0f,
+    0xa0197dc7, 0x7e7ff692, 0xc070cd26, 0x9e1b0b13, 0xf36d9dc9, 0x4cfe831f, 0x7c6be3eb, 0xbc301a1b,
+    0xa38241b5, 0x890c6454, 0x36a82b0d, 0xf8367038, 0x9e206cf2, 0xc473b6b2, 0x013daf2a, 0x987e83bf,
+    0x78a0a14a, 0xf1f1dc99, 0x7046a5ea, 0xd2e0e046, 0x5efabe24, 0xa2528ac4, 0x7f427dd6, 0x4fa47be3,
+    0xeb565c61, 0x3a5c6605, 0x1d06ad89, 0xf7b1fec3, 0xee648c15, 0xf4171f41, 0x0286f297, 0x4aee64e7,
+    0x08472658, 0xb358220e, 0x9f403ae5, 0x5076f3b3, 0x96b2383f, 0x9e8724ff, 0x28d1faea, 0x1b1cf942,
+    0x9de3d157, 0xcc1787cb, 0xcd12a981, 0x45f9cab9, 0x7f7aa530, 0xc21adfc0, 0xa53a967a, 0xf9e2c37b,
+    0x97081cae, 0x4045bdf1, 0x09ef39ec, 0xb30d9cdf, 0xd355f5e8, 0x54834ce9, 0xce133c5e, 0xbfeb5db9,
+    0x93c775a6, 0x1c5e32c9, 0xf3bb59cc, 0x16967cd0, 0x9965961c, 0x0e8d45eb, 0x74aac7cb, 0xda950ac4,
+    0x055c8404, 0x3603c166, 0xf8187943, 0xe8ae8d49, 0x91dee807, 0x010b765c, 0x094394b2, 0x9ff522f9,
+    0x47711f7f, 0x8e1e73bf, 0x2d01c0ff, 0x8ccbeddb, 0x79c03780, 0x716bea79, 0x35c18c2f, 0x33afb675,
+    0x4421808e, 0xccd3adad, 0xe0396dbe, 0x04cb6330, 0x6257e252, 0xa56051f2, 0x62945bef, 0x56163fce,
+    0x640c9076, 0x5c493c68, 0x2ef271e1, 0x5283dba2, 0x0a0e0a60, 0x25ecb9c8, 0x4e66ad67, 0x3f6ae497,
+    0xe44e3e58, 0x2c1760b5, 0xc9502415, 0xb37a9362, 0x77455586, 0x18c4b6c7, 0x0764598a, 0xdd1dcee7,
+    0x92bb2e8b, 0xfe743882, 0x2fa2c09a, 0xa00fe88c, 0xf8c6c51e, 0x66e66da0, 0x4bc26716, 0x2be39a58,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000011692013098647223345629478661730264157247460343808 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b32, 0x693aa01b,
+    0x00000000,
+    0xb75f5caf, 0x0c6da9e8, 0x2b50e02c, 0x005c2ddb, 0xbcfb51b7, 0x81802ddd, 0x706be32d, 0x4bf67e4e,
+    0x71d68e3f, 0x18a5d386, 0x80be524c, 0xfabc1043, 0xa492b60e, 0xd505bfe0, 0xbf03f211, 0xf96c12b2,
+    0xa08c41ad, 0x0c97f8bb, 0x982c05cd, 0x318c4170, 0x4963429c, 0xd647ab5f, 0xbde42bfe, 0x1275e6bd,
+    0x8a291be4, 0x8c034e8d, 0xd2501c6f, 0x3a6730c2, 0x3d8510e0, 0xcdf99aa5, 0x9de3780f, 0x28644b45,
+    0x4287662a, 0x08d9a61b, 0xb4899e6b, 0x24904adb, 0x9724dc74, 0x455cac28, 0xa7896177, 0x086c7622,
+    0x062684f8, 0x6f0c760e, 0xeb3296ef, 0xd2230fb4, 0x7e8d4435, 0x24043a08, 0x02f67c75, 0x405ca885,
+    0x62fe0266, 0x9d3e3c4b, 0xe57ec6af, 0x85750630, 0x7c159ff1, 0x95ecea4a, 0xede8821b, 0x7abe7a85,
+    0xbed03d3e, 0x6e574543, 0x945fd71d, 0xa5e1e2aa, 0x127475f1, 0xe8239ea6, 0x53be1184, 0xb06d69c9,
+    0x4da623e0, 0x0a112dfc, 0xe8f11de0, 0x9e61e90c, 0x3a5fb822, 0xbb5cdc6a, 0x122088de, 0xe97bf964,
+    0x871e7b35, 0x3f1bc856, 0xf1241489, 0x6b167865, 0x5bea052d, 0x62c5d7a4, 0x7487669b, 0x5c0a5fa1,
+    0xa1b3560b, 0xb0ce360f, 0x87898cba, 0xb7472298, 0xa00ddc5e, 0xe2e631ce, 0xd5530585, 0x09763b6c,
+    0xccf48c9b, 0x996b9b33, 0xe7785e54, 0xef194aa3, 0xc96edbad, 0x1c142b70, 0xfe3d44f6, 0xf7bda58d,
+    0x218f6530, 0x9a881472, 0xb36f9374, 0x197c6898, 0x97164818, 0x2604e665, 0x726e12e2, 0x07a38662,
+    0x2374b65a, 0x3d0cba32, 0xdc808536, 0x4056298c, 0xfc22a21c, 0x39c89b3d, 0xf8562207, 0x8c617864,
+    0x53cbab3b, 0x1a02c0b9, 0xfcb3ee28, 0x78c0b87e, 0xc7965963, 0x5f351ee2, 0xe8a7c49d, 0xe81664b0,
+    0x620937aa, 0x88b007b7, 0x5e928c30, 0x84b25dd3, 0xc34af38f, 0xb715ff9a, 0xb6905221, 0x1a54d8c3,
+    0xb548b0bb, 0x0c93c7f5, 0x597e3976, 0x02831074, 0x5ece4387, 0x59016c6f, 0x648509ce, 0xf27cb5e6,
+    0x7101b8fd, 0x4db6ce86, 0x14590d31, 0x8b7c1857, 0x43aa2d88, 0xa37a2d8a, 0xaca1e5cc, 0x0f841b09,
+    0xa53622a4, 0xff47e093, 0x78819031, 0xbf073268, 0x0d9fb2e4, 0x6e811748, 0x07a0233e, 0xd87494a7,
+    0xf7257f14, 0xab96cfa6, 0x1fc044a2, 0xedfeb9fb, 0x922eb81e, 0x9092cb6a, 0xa1d86657, 0x76839781,
+    0xc9054781, 0x06b1e488, 0x074641b8, 0x16003205, 0x5ca5acde, 0xdaf84660, 0xec3fddd9, 0x9c383ca9,
+    0x9fbcb00d, 0xb7587399, 0xd6d2d110, 0x3d5e6cec, 0xf2a68a55, 0xbbb50597, 0x4f1c16d6, 0x3e18f713,
+    0x1f01ab4e, 0x938485fa, 0xe157fb22, 0xc6e9492f, 0xfe2e9860, 0x7125d9a0, 0x48b26519, 0x8226cf85,
+    0x60c47496, 0xb763343b, 0xb5232ad7, 0xd4d84c69, 0x2253a33b, 0x0d17eebd, 0x7562e6b0, 0xa1d67251,
+    0x6d6579d1, 0x78318cee, 0x770bde80, 0x7168eb00, 0xfa3b3b90, 0x65e5c74c, 0xd1345a5e, 0x29681aec,
+    0xca306baa, 0xf4afa8e9, 0xea9563c3, 0x528333d8, 0xbf4f06a0, 0xfe364c12, 0x8a06ad29, 0xd2fcdf1a,
+    0x0ea2da5e, 0x28a6d38d, 0x2985ccbc, 0x94b7ea35, 0xf6744041, 0xe965f0f5, 0x20c0647f, 0x8f7d5fb6,
+    0x811de31a, 0xc890f59f, 0x7162ac62, 0x4c30b294, 0xc7560a0b, 0x2b0270d2, 0x9515e0ad, 0x68c63706,
+    0xf3c4e74f, 0x54fab235, 0xc015cef1, 0xb3fc0c1e, 0xac1e3b82, 0x3dac15fb, 0xf66df7a5, 0xd0e44c68,
+    0x9703464d, 0xea0f53be, 0x40d255f0, 0xc9429661, 0x954b1042, 0xce5a5f8d, 0xe9fb6499, 0xebe74e1c,
+    0xd873cd9b, 0xa267e602, 0xed2fad1f, 0xfd561beb, 0xfedae0c2, 0x4c45b52b, 0xb0ac5df9, 0x0d85fd3a,
+    0x19ae8820, 0xc96901f6, 0x9df1cc74, 0xb70928fe, 0x5ee51bc7, 0xde8bcdf4, 0x2eaaf6b0, 0x82ec8c47,
+    0x94c56926, 0x9c8748ed, 0xc4c221a4, 0x94471486, 0x3fab0169, 0xa3fc3e93, 0x09d18393, 0x789f3dfd,
+    0xf4d9a1c2, 0x6b18fcc4, 0x27879c8e, 0xb1b6bdfa, 0xfbf2a63c, 0xba2ea632, 0x2b98e2ba, 0x773891db,
+    0x4c9444df, 0xefeddbf4, 0x5bcdbed5, 0xbd2dcf13, 0xa40d010c, 0xdb08d185, 0x25780faf, 0x4d1f4d44,
+    0xd60aa72c, 0x61efb3bb, 0x1a8b5939, 0x67cd6b4a, 0xe55dd5b2, 0xa7eafcd6, 0x1c505486, 0x3ebd252e,
+    0x37098a62, 0xeb4d5196, 0x32451c78, 0x0447371f, 0x127c41ed, 0x60aa064d, 0x7281a8da, 0xb0b2cd04,
+    0x644a3afd, 0x089290ab, 0x632fb20a, 0xf16ebd1d, 0x4b416572, 0x95415efd, 0x553661b8, 0xffaf4f94,
+    0x009aed76, 0xa1a79256, 0x0df44087, 0x2430fef9, 0x1290cb34, 0xc7ce9bdc, 0x5c2c467d, 0xfbd89136,
+    0xd0b27bc5, 0x0b947945, 0x22e03cbd, 0x95c80ffc, 0x45b1296f, 0x3bf71637, 0x128e7f27, 0x62ab7e70,
+    0x3aa2ab12, 0xde1041d9, 0xc33290f5, 0x23d37537, 0x3d5d37f5, 0xe912c5d4, 0x2fef196f, 0x99493248,
+    0xadef4f3d, 0x76456a03, 0x56bb9fae, 0x16143cd2, 0x0a66c66e, 0xe0872526, 0xa105d177, 0x17f01074,
+    0x671fc613, 0xbbce27b4, 0xf0b49272, 0xc5202401, 0x173805bb, 0x7d5d601f, 0x5559397a, 0x0b8a988a,
+    0x6db26dbe, 0x64c6c37f, 0xc544754b, 0x570d24e9, 0xfc083930, 0xbe5946c9, 0xb4a076c8, 0x382f617d,
+    0x6821147f, 0x37bf5f94, 0x20617794, 0xfe316682, 0x1973bda7, 0xf6c1afd8, 0xa98f9d76, 0xc1858803,
+    0x4539b533, 0x19212e35, 0x483ed7b0, 0xfa7f0c6a, 0x8b47a096, 0x0296a540, 0xb697338f, 0x9e480d12,
+    0x9c6d88f4, 0x4e01af50, 0x536e5ff2, 0x4d3bbf4f, 0x1bb9d107, 0x91b078ee, 0xc43593e0, 0x409e2153,
+    0xe942ba54, 0x022a43e1, 0xb8013b4f, 0x0a501d2d, 0xd426bbca, 0xf29d1024, 0x84b05241, 0xe7d1313b,
+    0xf657d922, 0xdd867faa, 0x27dd6fa5, 0x7a92495f, 0xb6c59b2b, 0x537f391c, 0x3994cb41, 0x6a1e5758,
+    0xe46ee2b5, 0xe67d7a5b, 0x47478fcf, 0x08616edd, 0xf86359f7, 0x8d4c3d99, 0x0eec88ac, 0x19c3468b,
+    0x688332ff, 0x95d2e7bd, 0x4577610d, 0x840d4c12, 0x1ec9ccbc, 0x398ce562, 0x046d3c16, 0x2e7bec7c,
+    0x07f7592e, 0x719c7639, 0xb5fc7d40, 0x7f6308c0, 0xfa73fae2, 0xf56a969a, 0x1ff96ba3, 0xaa971240,
+    0x7362178f, 0x63eea475, 0x6474308d, 0x60b13fb9, 0x325ad91b, 0xb7856e69, 0x1df9afdc, 0x7e08c896,
+    0x91d7c92e, 0x72887659, 0x07c823fa, 0x60e323fa, 0x920bbd67, 0x79a12505, 0x16d60ee4, 0xd3aafca3,
+    0x10b6130c, 0xfabd7f8e, 0xec43288a, 0xbbeae367, 0x78c4bb46, 0xc4c06a25, 0xaa89222a, 0x85742e44,
+    0x4c5d8298, 0xd756c096, 0x53365406, 0x5a8878f6, 0x212fd101, 0x1e17f51e, 0x97c1c09a, 0xe6342147,
+    0xd1e865f9, 0x4fb6f624, 0x1f0be176, 0x5a3f1c36, 0xf446c408, 0x828c3a3d, 0x2e8d94b2, 0xb6ec7e71,
+    0xa2f0b6b9, 0x8dbafc5b, 0x8d94f2fb, 0x323100fa, 0xc51736aa, 0x35df11fb, 0xd7d3c1c2, 0x79ed1aa5,
+    0x4e87658e, 0x739f84ba, 0xb0988bca, 0x9b6c3375, 0x78f00f68, 0xedf9609d, 0x74ad1f6d, 0x8ecc3192,
+    0x037b4abc, 0x96afe71c, 0x4df10d5a, 0x4ff41ec8, 0x89bd167e, 0xa46f2197, 0x0136c604, 0x6df5ea49,
+    0xbf9e6c6a, 0xa34c987d, 0x78aed457, 0x564890f7, 0x4b424ddb, 0xe0064347, 0x6d11c200, 0x90b5485b,
+    0xbc25d5bc, 0x0ea7e079, 0xa4d57577, 0x9eee04fc, 0x198e29ce, 0x955b984b, 0xa9f82da7, 0x76de7d5e,
+    0xcd225452, 0x656ccb2f, 0x183a9418, 0xd467f523, 0x326b8904, 0x3aeee71f, 0x89e15606, 0xa2b68e56,
+    0x3b3f668c, 0x41607c5f, 0xd8583c92, 0x7894cc49, 0x1d86851f, 0x28d4bf76, 0xd5069e1b, 0x9db186fc,
+    0x049fa349, 0xd9fdfc66, 0x778a03e1, 0x943b7047, 0xd5ef6ffd, 0xabfbcc68, 0x0c25c91a, 0x357114c9,
+    0xf1090c31, 0x6cb74bcb, 0xc42ef875, 0x671793b0, 0x8a2d5358, 0xa89f7868, 0xaec45ded, 0x7a9f8830,
+    0x36fccb81, 0xdcc456d5, 0xaf0a8627, 0x78156d85, 0xb1ed7dba, 0xc459249a, 0x0d575a61, 0x12f020a2,
+    0x7c1d8640, 0x34e46851, 0x529143c5, 0xa99ac6f0, 0x91779f32, 0x30fc6044, 0x7a8cab9b, 0x0e538f13,
+    0x370d504a, 0xa111e4b4, 0x9e919991, 0x149fcd2a, 0x6d0bf47c, 0xfc7e122c, 0xef2a9e11, 0x02597c85,
+    0xb25bad20, 0x8140c1cc, 0x601d8ac6, 0x1445d831, 0x4fa644c9, 0x201146e5, 0xf57a751a, 0xfb7b949a,
+    0xf9cef716, 0x9770bd53, 0x72dffcad, 0x9ff75718, 0x7d44386c, 0x037b72cc, 0x00452907, 0x428b6bb3,
+    0x448e7215, 0xd1b95f0e, 0x6f6c8eda, 0x355c2bdd, 0x6911959b, 0x4fa73b68, 0x6df0b632, 0x5c8fc121,
+    0x63fda1a2, 0x014224c6, 0x624d3866, 0x8a905ca5, 0x4446f0bf, 0x88191c65, 0x6286764b, 0x67b55882,
+    0xbe108982, 0xc44d0011, 0xf1394f0d, 0x118557b0, 0x0f38e078, 0x943e4eaf, 0x99aa86b4, 0x9ba507e6,
+    0xb0dcf22f, 0x639ccc23, 0xba7ea80f, 0x4d056f98, 0x639b38bb, 0x0f50221a, 0x10743787, 0x91651dd6,
+    0x89aef4e2, 0x7a0a7917, 0x26428760, 0x49c98783, 0x0f902116, 0x9cf842c2, 0x03c9a4b9, 0x919f1406,
+    0x3214e1a5, 0x356a3a03, 0x5cb9208d, 0x64aefbaa, 0xb5a563e1, 0x40b79db5, 0xb77380fe, 0xf4322cc4,
+    0xbf81e611, 0xa9ab6ff8, 0xba0f7bce, 0xe379cc8a, 0xeb78b151, 0x98db9e6b, 0x6c2c76c1, 0x53a28bdf,
+    0x5d2d936f, 0x16fadb0a, 0xce7d33b0, 0x6c5443b0, 0x2e930fdc, 0xc2738a89, 0x2c6baa27, 0xfc5af82d,
+    0xaecfb6d6, 0x7c7d8364, 0x4478c17b, 0x2ee83755, 0x8a7407ad, 0x86d8816c, 0x26f0fe1f, 0x24876077,
+    0xf31c4626, 0xf984ad4c, 0x30091e64, 0x0a055649, 0xfbfa77a7, 0xb0c1f193, 0x5ef212f1, 0xc9944d70,
+    0x914dda3c, 0x67ad1c1c, 0x921fe6c7, 0xf97816f0, 0xbdaf399f, 0xb124d289, 0xa78f208c, 0xb40fd95e,
+    0xbea0416a, 0x9a499f70, 0x75b7dda2, 0x2bdcd315, 0xb3586d02, 0x925d0fc3, 0xbdc8a79a, 0x37ee32ae,
+    0xc19e64b9, 0xc9ec13fd, 0xce53947b, 0xe5fde1bf, 0x32161b0c, 0x9ce46314, 0x98eff56c, 0x8afa8763,
+    0x8652907e, 0xf670c372, 0xabe8562d, 0xe4b54ee5, 0xcc477a05, 0x2ca6c10e, 0x6f1f2b2a, 0x2bd5a317,
+    0x981c1ba2, 0x1404b08f, 0xb57b09f4, 0x61dec291, 0xd2067405, 0x28ce7894, 0xd3acf6bc, 0x894f232b,
+    0x4721befd, 0xfb82291c, 0xa64fb9b9, 0x411ae48d, 0x187c3e54, 0x1d30f720, 0x8142a145, 0xd19ff20f,
+    0x72959598, 0x76448fe7, 0x65015400, 0x7920298d, 0x9cc49015, 0xdda0972b, 0xbd660207, 0xea14cd2b,
+    0x88021b9d, 0x40bf8d06, 0x84c75157, 0x7719b2cb, 0x7acbddf4, 0xbda3f0d7, 0x15307d99, 0xecf01b64,
+    0x81710bf5, 0xb80ffab7, 0x72a3d713, 0x7ec97f21, 0x536f00e8, 0x549fadd3, 0x7a09a4c6, 0x8d1f8a10,
+    0x718f009d, 0x1ba52eca, 0x331d818c, 0x259ecd3b, 0x259da4f8, 0xfd7121bd, 0x143b70b6, 0x003fb784,
+    0x30f141fb, 0x5836e6d6, 0x3eab236c, 0x579b3b50, 0x4a720e54, 0xe553f350, 0x8e0d253f, 0x388ee6ce,
+    0xfede2a53, 0xa460c7d0, 0x302ac996, 0x430f5112, 0x06957a3c, 0xe8c83988, 0x8173988b, 0xfb4de8d7,
+    0x78e8d6bc, 0x774e34e9, 0x4499b9cf, 0xab7ed0ae, 0x8519e96c, 0x2fd6e0eb, 0x0e6cdabd, 0x6d1105ae,
+    0xf35d2fb7, 0xe9cf915c, 0x6288228a, 0x0e5f858d, 0x9f40fcd9, 0x18891bcb, 0x147e8147, 0x87f65fb6,
+    0x1cab514a, 0x5d0f2dee, 0xc69fc6af, 0x6ecfbee1, 0xca4e6b2b, 0xa08593f3, 0xafaa6569, 0xa65d9574,
+    0x3983308f, 0xbd75446e, 0x6c74132b, 0x052eec8a, 0xea4b0ff6, 0x657cac9f, 0x25c24fcf, 0x5268cc4e,
+    0xdce120c9, 0xba39dd44, 0x02c091c7, 0xe6ac590c, 0x1c8136be, 0xd959a165, 0xc3d591b5, 0x8b10eaee,
+    0x49de9d7a, 0x0a062849, 0x6b3b8a4d, 0xf2907429, 0x18bc0d72, 0xd2d5c2e8, 0x43be8441, 0xa3b75aa7,
+    0x72d54513, 0x77cbfac3, 0x19a3f25f, 0x83325d45, 0x3e2d863c, 0x07d70e24, 0x7ca69cff, 0xeb810663,
+    0x0fce03b2, 0x084b6875, 0x6fa8d9f8, 0x7069d510, 0x6ab64fc8, 0x6d47d87f, 0x0509e168, 0x3ff9d9c4,
+    0x84469f5b, 0x6172e3c1, 0x55bb2aa3, 0x701648c4, 0x6a44bb89, 0x694222de, 0xbb4c3314, 0x2d38b0cc,
+    0xe30f378c, 0x81fbddba, 0x8ac47290, 0x0c69bcd5, 0x2ff79dbf, 0x67be73f2, 0xf5f9dd41, 0x33493a3d,
+    0x57d8f3f0, 0xac72fb93, 0x442b5f3d, 0xba79dae7, 0x86b47b40, 0x57f8ac29, 0xadad7b69, 0x084e89ae,
+    0xcc3f283b, 0x5fa51fe5, 0x4fd5089b, 0x8a5f853c, 0x8c23966e, 0xc80d4e93, 0xf1d71ebb, 0xd8e905b6,
+    0x8fea8144, 0xb77ac5a7, 0xcf32cb80, 0xb6c0f199, 0x53893b0d, 0x6b51849a, 0xba48d415, 0xdaebd166,
+    0x3d266993, 0xd4f270d5, 0x5dc307bb, 0xc8415258, 0xd99df13f, 0x3eab00d2, 0x2f9d455f, 0x44fab2b5,
+    0x33a2488a, 0xa5db37a0, 0xbcf45a90, 0x1bc22e33, 0xf4342683, 0xaf01266e, 0x8268817a, 0x3441ca8d,
+    0xa0a34af1, 0x5bc313ad, 0x1ea86625, 0x8b7bf8f3, 0xfd7aaeff, 0xd4209588, 0xfea925be, 0x270abfe2,
+    0xd4893b85, 0xa72a5b42, 0xad02ebf0, 0x59ab338e, 0xd05ca6e5, 0xfdb97f5b, 0x9855790b, 0x06a085b7,
+    0x9ab688e6, 0xb8819577, 0xffbccf51, 0x230e050f, 0xc85993b1, 0x681fb3ec, 0xb8146877, 0x827f79c7,
+    0xa440303d, 0xa1415dd5, 0x404cc5f1, 0xe9f0a2f1, 0xa505bd8e, 0xad27d637, 0x128dca66, 0xec102c03,
+    0xc314a8bd, 0x9ee3e8e4, 0x8aae414b, 0x62b9a8e8, 0x6ae1c259, 0xdd40ac2d, 0x2285bcc4, 0x4b698b90,
+    0xe5b94bf5, 0x24515ab7, 0x4d51a115, 0x0d98e6c8, 0x5f56cb12, 0x0c25f1fc, 0xe7acde89, 0x3d3e7d9b,
+    0xe977a656, 0x5604c262, 0x7b8d5b85, 0x85617929, 0xea77e153, 0x800a5810, 0x7a447814, 0xe94efd79,
+    0xd53c1059, 0xe7851ac8, 0x7198b671, 0x7d44dee6, 0x16919b68, 0x117c6ddd, 0xb36bdb62, 0x292b0a9f,
+    0xceb84d8f, 0xd42cce4d, 0xae1d70aa, 0x45701c43, 0x008f6d81, 0x13f8ff61, 0xcb510302, 0x843a7915,
+    0xd2d2bfd7, 0xc834af8c, 0x55bfa44e, 0x5b5104b7, 0x9afa4cee, 0xf4914f14, 0x19b6232e, 0x98a680b9,
+    0x9bb5f3da, 0x9b524bc6, 0x20357acb, 0x46f17f2e, 0xcc55f7f8, 0x71201e80, 0x7e7d653e, 0x057227b4,
+    0xb2783528, 0x353e9e1e, 0x47e6a306, 0xee8ee5a3, 0x1a56d450, 0x33782899, 0x262f51c5, 0xfdbd22a6,
+    0x7e06fb28, 0x1c0cd72c, 0x0f6ad2c8, 0xdb790952, 0x735c323e, 0x7e9fd6ac, 0xdb173c7d, 0xa98109bf,
+    0xca4dd4c0, 0x26b2e1f2, 0x52cf00bc, 0xc05e1968, 0x8bb5b0f7, 0xc6e49ccf, 0x91b26a9f, 0x3713437a,
+    0xe83757cb, 0x7a32c526, 0xbebb358e, 0xdb62d5c1, 0xb50ad2c9, 0x1bf9c79d, 0xc2a7c3d7, 0x3fa0dec3,
+    0xeb5cb0ff, 0xa462e8b9, 0x70919620, 0x8323dbd2, 0x84640367, 0x26e668cb, 0xbbd8912e, 0xe5fac727,
+    0x2dd3552f, 0x000c768b, 0xb184495d, 0x051414bf, 0xb9560d3f, 0x554386d0, 0x409477d4, 0x73d40c7c,
+    0x916db4fa, 0x29860538, 0x5d4ed804, 0xaeb1e333, 0x628759d3, 0xd6ac3969, 0x663275cd, 0x1e4cff53,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000005846006549323611672814739330865132078623730171904 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812599, 0x349d500d,
+    0x00000000,
+    0x9934676a, 0x8a2b5530, 0x6f3eb98e, 0x486b598f, 0xc239fdff, 0xc97038b8, 0x76dee200, 0x0e1c3242,
+    0xa5f3a0e8, 0x14516b28, 0x5d490a13, 0x9eceb56c, 0x6ba2e502, 0xcf2df8d9, 0x633efc49, 0x3a5d5073,
+    0xb365e0b0, 0xe8ba933e, 0xba7fccdb, 0xba2f35d6, 0xb9769769, 0xb61d36ce, 0xa951c7b6, 0xdb080584,
+    0xf5dff0c5, 0xdc0c50a8, 0x6d246c48, 0xb24e38ee, 0x5427b58f, 0x2f37fc73, 0xa1fc5c4d, 0x6b67350a,
+    0xc9b060c1, 0xc4eff09b, 0x74a838b2, 0x5b3e9330, 0xeac342e0, 0xaf574408, 0xb365241b, 0x583e2ca0,
+    0xcaa69305, 0x6987ec9a, 0x917c0a7e, 0x893ebebf, 0x61e5cdf4, 0xafd8d3e9, 0x7c8a88e3, 0x4e3849bb,
+    0xab182fe4, 0x6a16b337, 0x5c0808fb, 0x19602902, 0xe0ae0298, 0x08e8ba00, 0x96027925, 0xc3c2dd68,
+    0x7427c06a, 0xe3122f74, 0x43d368e6, 0x2ebcba1c, 0x39af54e7, 0xf0218209, 0xe997fd72, 0xcda69d3b,
+    0xe176cfaf, 0x28fdf708, 0x7a48fab4, 0xf3453600, 0x6d46ae88, 0x1d6a12ff, 0xec0b9080, 0xce605876,
+    0x9c9befcc, 0x69565e4d, 0x2fccfe3d, 0xd704310f, 0xa84b4fbd, 0x5e48e0e2, 0xba2fbd9b, 0xde578dde,
+    0x81ce6d81, 0x3cebaa91, 0x5790d4b1, 0x6e4f6bb4, 0x28710817, 0xebe5ad04, 0xda0043b2, 0x393e6a68,
+    0x5a426488, 0xd1bcdf60, 0x4335b66d, 0x865d41d7, 0x486caf34, 0xf47890e7, 0xd5328809, 0xf9222daf,
+    0xc20da1eb, 0xd50062f3, 0x8848ea25, 0x2ef29553, 0x1542f7eb, 0x9db42815, 0x9d0eaa15, 0xbc291a5d,
+    0xb91d87db, 0xf3acc9ca, 0x5345827c, 0x4bd9ed1d, 0xd79985c3, 0x063a8dfa, 0x05c05ed6, 0x945d0940,
+    0x9f3c71f6, 0x244c76f5, 0x839b517f, 0x981b49cd, 0x3def9235, 0xf721305a, 0x0ceaa7a4, 0x08679f17,
+    0x0f94976c, 0x9248edbc, 0x351d1e76, 0x85df5fef, 0x6f34f1df, 0x13ec9cbc, 0x30f923b0, 0x230b2a32,
+    0x09cf5826, 0xa5174bdf, 0x4d901df0, 0xbb6a078a, 0x1faf67f3, 0x5fcae0d3, 0x2b7647b0, 0x05cdaf66,
+    0x491fefa2, 0x18691e76, 0xa3f8cd3a, 0x24108dcd, 0xe63cdd7c, 0x7d3683ca, 0x7ab3af6d, 0x788c9dba,
+    0xc80caebe, 0x82aa0cc8, 0xb624821d, 0x8f9d2131, 0x08a33d31, 0x5aa020e6, 0xe2a9fbf6, 0xc936d8ac,
+    0x96efbc2c, 0x100621a7, 0x016411bb, 0x083c97f7, 0xeddefa85, 0xbaef3005, 0x58f0c3ae, 0x956db806,
+    0x29e3d289, 0xf9887987, 0x19a72e6f, 0x413e1b48, 0x4f4bef4d, 0x5b5ae346, 0x029498fb, 0xfa202038,
+    0xe57f2bff, 0xefea6a02, 0xba88fcd1, 0x642e94dc, 0x4e10d97d, 0x6112b5bb, 0x1e41a45b, 0x523bf8a5,
+    0xe9f58618, 0x3c8f317b, 0x89a6aafa, 0xac2b1b6f, 0x5708bcc1, 0x7686c11c, 0xc5014464, 0xee0a7292,
+    0x8022d23f, 0x33afd19c, 0x79189b8c, 0xaef1646d, 0x71dfaebd, 0x08a3c551, 0x2e3ac63f, 0xd5b36625,
+    0xf5ae61c5, 0x71ccb85b, 0x4e04ab9f, 0x058ce9cf, 0xbfb75cbd, 0x99c565e8, 0x187b7ccd, 0x32244e1d,
+    0x862f33af, 0xca71aa9d, 0x5e0e0ba1, 0xde7a4066, 0x5d91a38d, 0x126ed77d, 0x42728dd6, 0x77ae2004,
+    0xaedc1fcc, 0x2643fe9a, 0x252b02fa, 0x8c8a14ba, 0xb1740295, 0x019dc447, 0xcd702d38, 0xe30390b1,
+    0x883e0764, 0xf31a487f, 0x7f681421, 0x821b7d1a, 0x1ea9b959, 0xa5c635fe, 0x2d8f813a, 0x0832ce5f,
+    0x6b4cd841, 0x05727e47, 0x90d7c40c, 0x695089fb, 0xfe57b712, 0x9054257b, 0xca24138c, 0x87dc7910,
+    0xbd5b0d99, 0xcc892ad9, 0x73bbd982, 0x7da3c661, 0xf86abf38, 0x1ee9e86a, 0x40c8483c, 0xda03fdc5,
+    0x640e95a2, 0x56ee9069, 0xa306b7f1, 0xcd15d5cb, 0x910a0e08, 0x357de46a, 0xba03407a, 0xaff87f7d,
+    0x3b94d4c9, 0x7bc48053, 0x42b30b8f, 0xf3042626, 0x0c59a830, 0xa89bb34c, 0x212a09cf, 0xf6eb2ba4,
+    0x2d69ec76, 0x34cb48b1, 0x3077dcf5, 0x947b3ed8, 0xed60bccd, 0x4521764b, 0x38b35b15, 0xc78fbb3e,
+    0x0285af6a, 0xdf0025c4, 0x84ef4375, 0xde7ba98d, 0xa27833ab, 0x8efedd5d, 0xe2f64bce, 0x9b4f174b,
+    0x95426f37, 0x854ade74, 0x9b99599c, 0x18ed441b, 0xfc46b2ea, 0x5a8e1de9, 0xaa55228b, 0x83dfe392,
+    0xb86774bd, 0x6db89032, 0xfbb569b1, 0x13da037f, 0x99cfbe4d, 0x275e26fc, 0x862a4bb8, 0xc69090fc,
+    0x0fe23d35, 0xe37d237d, 0x900ccb2c, 0x1c0fe2a3, 0x9314cb79, 0x6f3fe4a0, 0x3be3cd2d, 0x58754199,
+    0x6d554007, 0xb6943e72, 0x49c81ee1, 0x4e4f4690, 0x9560f6cf, 0xc0d7abd3, 0x03fa2f1e, 0x03ec797d,
+    0xdbda76f6, 0xdbe03af3, 0xabacf35f, 0xff0aa69b, 0x42330534, 0x5aa4f985, 0x64ee5072, 0xea0be384,
+    0x2b9c9b28, 0xa5583402, 0x4a0ff216, 0xc5ff01bd, 0xceca957e, 0x63b1cf19, 0x0991d5e4, 0x5f191412,
+    0x90cb1e70, 0x1151e00e, 0x5ec4a88e, 0xd3a623e6, 0xb53bc8e7, 0xbf580d27, 0x24849273, 0xd0a58e67,
+    0x50ca37b8, 0x2e3959d8, 0xc849f555, 0x24a1edda, 0xc3b3e666, 0xa3a3532c, 0x9b4ac556, 0x6edd26f8,
+    0x1b8b4f36, 0xab4f6db4, 0x83f32d4c, 0xea8b6cff, 0xb586231d, 0x682ad680, 0x8ae3cf30, 0x8173546a,
+    0xb16dde9d, 0x9cdfd406, 0x64232cb4, 0xf2e12a40, 0x3875ec2e, 0xe1ff7724, 0x808d4782, 0x8aa26cb8,
+    0xaa47de38, 0x5aff6609, 0xd0f46d6c, 0x978973be, 0xe899c740, 0xe2b9cd41, 0xeaa79350, 0x0de13a7c,
+    0x4319dbc1, 0x7960c6c7, 0xa65c8935, 0xa701c8b2, 0x03191494, 0xeeb6d774, 0x0b4ebea3, 0x3473a340,
+    0xb1456ebf, 0xd663d5f2, 0x4e8ddff1, 0x373effa1, 0xf9fefeb5, 0x4bed90de, 0xbda3ce06, 0x05508358,
+    0xa3ed4e3d, 0x443351ae, 0xefab439a, 0xeb8f9492, 0x72cbfd5f, 0x88b4c48f, 0x8a97bbc3, 0x20348ae1,
+    0x3ced1798, 0x9d3cbe58, 0xbcd91e69, 0x9557ebd5, 0x9e0efaa1, 0x7443d478, 0x4f831fad, 0x051701f2,
+    0x1820c721, 0x5f8637a1, 0xbe175d86, 0x16711524, 0xf653df8e, 0x94cb4cdc, 0xc7e7f2a5, 0x9c641a28,
+    0x9f0aa1b3, 0x24543f89, 0x597c7e7b, 0x1f257689, 0xd9ba3614, 0xcf3afc4f, 0xdcc157b0, 0x9f99a151,
+    0xfc9cbad9, 0x33711037, 0xc93660e4, 0xdfb95f93, 0xff03f864, 0xa86c1395, 0xa78bc3da, 0xb6dfc021,
+    0x43f6f5c2, 0x2088f08c, 0xe84f7869, 0x2fa29fc6, 0xf92581b0, 0xac782283, 0x3a2ed8c5, 0x97a2367a,
+    0xe658fd50, 0x66ce1278, 0x93f777a8, 0x1664d460, 0x0d945ee3, 0xfd29aa85, 0xcbfd3df2, 0xe182d88c,
+    0xef611e7d, 0x2c14475e, 0x0c436a29, 0x21cbcb28, 0x08857c23, 0x92d65fe6, 0x13b891f6, 0x20f07247,
+    0x6ff646f7, 0x4eed65d8, 0x4eded247, 0xc9de01f1, 0x5b082cd3, 0x7f3e319d, 0xce14a276, 0x9696283e,
+    0x1a3f847c, 0x33e40f21, 0xc3fccb6e, 0x681d50a2, 0xc57a57af, 0x31f0d77c, 0xa74a96a5, 0x527b790b,
+    0x63a7f79a, 0xb37d0d33, 0x1691b2cc, 0xd47dd153, 0xdbca3117, 0xa27bac32, 0x39e5c736, 0x2ccabd50,
+    0xacd378bf, 0xfd552721, 0x5d0a42ce, 0xff51b9a2, 0xbd7c9b74, 0xeaa975e0, 0x5658beef, 0x9e80d065,
+    0xf121d66a, 0xd17559d1, 0xcad7b5ec, 0x51ed7e53, 0x393e130b, 0xaffe1bc2, 0x931fbde5, 0x9970af30,
+    0xcac3edd9, 0xd917f5e9, 0x75447e26, 0x40b099ee, 0x982b0876, 0x4975c015, 0x406e8565, 0xbad21305,
+    0x5ef50502, 0x8ca51387, 0x3254864f, 0x716ce2bd, 0x2de6ac71, 0xf2c4579b, 0xe2a4e8ab, 0xb372b3a9,
+    0xf07a873a, 0xd5bebca7, 0xb9922975, 0x87b1526e, 0x4dd2b645, 0x702ec24b, 0x0945470e, 0xda9ff655,
+    0xd53178f8, 0x8206ac28, 0xed06564e, 0xb6f33016, 0x0e120ee1, 0xee6cc6b6, 0x2eb4504a, 0x21671d11,
+    0x7c35668f, 0xcf4c2ce1, 0x765e909b, 0x61dd1e10, 0x7fc4bf4d, 0xe8bec996, 0x6a7c9b83, 0x1758d86d,
+    0x26c64501, 0x900a673e, 0x8a7adb2a, 0x29cc5d0a, 0xfc21cf6d, 0xe89375fe, 0x1b3ab51f, 0x06b6848b,
+    0xcc92e491, 0x876c6f65, 0x8e860ac9, 0xad12d3f0, 0x749395fe, 0xdb0bea23, 0x31150d64, 0x9fbd9ca7,
+    0xa4a516b6, 0x4765d6f1, 0x45ec48a1, 0xafe9533f, 0xe3be01ce, 0x89e37def, 0xff60041b, 0x8c974c8d,
+    0xb2335566, 0x16dd7325, 0x2ffa668c, 0x3a87a478, 0xa26eb452, 0x70db9a7d, 0x69e774e0, 0xda22c388,
+    0xa9dc3733, 0x9b954a70, 0x2719d94f, 0x89dc9310, 0x8b07d843, 0xdbb27162, 0x394a6cb3, 0x6b927b82,
+    0xfeb9c073, 0x255642c1, 0x998dfcfc, 0xf8a09eef, 0x13b63d2f, 0xed4bb30a, 0x49f1a2b4, 0xd9600b6e,
+    0xf76edffb, 0x37f5d1f2, 0x0b4e448f, 0xd8de8221, 0x4681a222, 0xf5215b96, 0x1775f081, 0x93113bc9,
+    0xc04d85db, 0x42792f50, 0xbaff49f8, 0xf34f004f, 0x086a7383, 0x5d1fbd0c, 0x836a6ab2, 0xf8e4b9f6,
+    0x567329bb, 0xd7acda2e, 0xa8a53567, 0x25e194f3, 0xc9bd46ea, 0x31ab8147, 0x0678450a, 0x170c9b12,
+    0x22b9cfa6, 0x968d7b77, 0x70fedb22, 0xbdc5e026, 0xde500be3, 0x253cf782, 0xe82f3687, 0xbcdf07fe,
+    0x9e19aee1, 0x200334d2, 0xd627051f, 0x13a646eb, 0x533bcb9b, 0x136592c2, 0x1aec5dce, 0x48121346,
+    0xfb2758bd, 0x317f8704, 0xd7a18ac0, 0x693bf158, 0x88b51bd4, 0xfd9f466d, 0x6adaaf7a, 0x1f3c7eb9,
+    0x36380972, 0x807884fa, 0x0c61e80f, 0xb1cfec14, 0x16a76799, 0xf2484e1e, 0x9ef9940b, 0xd991244e,
+    0x69c2d6b4, 0x8a1abc34, 0x8659c6ea, 0xf5557a62, 0x945f52c8, 0x4e9a4c59, 0x05ccc7e7, 0x712a4f66,
+    0xf3e83496, 0x34a13b21, 0xb613ec31, 0xa18f76e0, 0x3fcfe01c, 0xc2734e58, 0x83c32f9d, 0x1b3940f0,
+    0x479b2a62, 0x25014ba5, 0x3979196b, 0x4b6eb06f, 0xe78da189, 0x60aec868, 0x02ffd285, 0xb3a817a5,
+    0xb2719c78, 0x27aad5c1, 0xec9286fa, 0x6d35b26e, 0x27e4d8fa, 0xba23be40, 0xe48d3f50, 0x2d7787e3,
+    0x2188f039, 0x36694aee, 0x073ec00f, 0xbc3f3b4d, 0x761d71a1, 0x5a624595, 0x08ec1273, 0x69d6d681,
+    0xc5e91ba0, 0xc1340ec0, 0xd6b202fb, 0xda04180a, 0xd309a74a, 0xd7e15b96, 0xb3258134, 0xaa6a4d95,
+    0xd56759df, 0x42ef3b09, 0x9a989d9c, 0x65da441e, 0x86692c93, 0x8d19e0ec, 0x03ce3c06, 0x1677c76b,
+    0x0bef044d, 0x373bbf1b, 0xb2b870f1, 0x6a39bdfb, 0xbdab2618, 0xc6e5a6ce, 0x684b0af2, 0x57b22322,
+    0x579f3646, 0x6d6b6c7c, 0x86654402, 0x15d9d54c, 0xbf1556f5, 0x10801524, 0x7e1d0e8c, 0x4f0af15f,
+    0x83b117e3, 0x42e30d1d, 0x210b9060, 0x0f69d85a, 0x0327c224, 0x12105abe, 0x3427f3e8, 0xc21b2b50,
+    0x566af404, 0x4f710afc, 0x33ee767b, 0xc3a37eb8, 0x319c0d46, 0x048de11e, 0xdc0c923b, 0x3423f704,
+    0x08a6a921, 0x73f1fd19, 0x729d4196, 0x9456acb4, 0xb8f2924a, 0xefa92dc3, 0xcf863edb, 0x965caead,
+    0xc76a0664, 0x2a96229d, 0xf5af6bf7, 0x6f86bba5, 0xceae9589, 0x9b3377e2, 0xe1f52c6a, 0xf847fddf,
+    0x5b1b4092, 0x8dc09836, 0xe9bc1631, 0xca9667ce, 0xd7cd9fc1, 0xe7e07950, 0x73aa6b6e, 0x86cadcfc,
+    0x3ff2184e, 0x3466758d, 0x8c7484cc, 0x6d632708, 0x13c6e629, 0xd095e712, 0xea71b255, 0x98d7ff1e,
+    0x2b5a904d, 0xf4422b9f, 0xd2b06c0d, 0x7d53c378, 0x695851c3, 0x3359dcc1, 0xb19883a6, 0x0294b3de,
+    0x66f47aa8, 0xd521734e, 0x52bf0e72, 0x88d6a040, 0x0964fbb5, 0xea6dd42d, 0x79263f6b, 0x2cc87f01,
+    0x8aeb26df, 0x18796812, 0x81549ed5, 0x25498aab, 0xea2ab6d5, 0xd0821e5c, 0xc57bb98f, 0x2edf996b,
+    0x04dabc3e, 0x72f73d93, 0xc0b59f9c, 0x74bbcc47, 0x807c1e6b, 0xb34c2833, 0xc525d832, 0xb3828fba,
+    0xd017be02, 0x544e1f68, 0x58470b01, 0x04684c87, 0xb0787be8, 0x434aaa11, 0x95333d33, 0xe84b2cbd,
+    0x5d28cb41, 0x40cdfcd7, 0x25649dc7, 0x76206800, 0x2a23e671, 0x4cdcca35, 0xddd92edb, 0x563d290d,
+    0xb667963d, 0x46e9fbb0, 0x86b7bfd7, 0x8b1252bc, 0x2c34a556, 0x9692397d, 0xaf159a41, 0xeb10e999,
+    0x84c3e1a8, 0xcbf79bfa, 0x44a014b7, 0xd15bcd9f, 0x84871cd0, 0xfb20d12f, 0xde858f1a, 0xd8cfbe12,
+    0x4b77d867, 0xd551325f, 0xdd6a3be2, 0x0df9d234, 0x98b2d460, 0x32a368e1, 0xdf1d2d58, 0xe49c8790,
+    0x88aa72be, 0xdf79e95b, 0xfeda3d7d, 0xceb61510, 0xfaa99d57, 0x284a1373, 0xb880315d, 0x544feb0f,
+    0xd55f9e57, 0x5de94853, 0x2a8b3bc2, 0xf9d305f5, 0xc9adb587, 0x150edf6c, 0xabd16650, 0x8f81ffa6,
+    0x83bcfcd7, 0xd8f0b863, 0x9f31389e, 0x7eda3648, 0x419d243b, 0x63fbe526, 0xf753135f, 0x5aad59f6,
+    0x591f8903, 0xe46fa2ef, 0x0d56a0a4, 0xba581489, 0xef54936f, 0x8d6183db, 0xb8ff985b, 0x52d99368,
+    0xb4377f84, 0x2ca6b4c4, 0x994007bd, 0xba74ae95, 0x63fbb0e6, 0xe99b407c, 0xf639644e, 0x5a36c9f8,
+    0x0f22f661, 0xa683c20a, 0xc8095f3b, 0xb218e441, 0x7df52758, 0x2bb7d25d, 0x28d7e55c, 0xc1939cd9,
+    0x1b1b2df4, 0xa06b9c50, 0xf848c3c8, 0xcd97dad9, 0x2eb2392a, 0x95bec0c2, 0xe60d967e, 0x85d1736d,
+    0x9a9fa906, 0x5bfb28c2, 0xb05cd566, 0x410a0a77, 0x89966c93, 0xba67e4b7, 0x7c0c8e98, 0xf1a5ba18,
+    0x492ec4bc, 0x18157981, 0xac431aa8, 0x3fe9702e, 0xe7efcb55, 0xf5bb16a8, 0x0dd1c352, 0x7e2d55b8,
+    0x779d0a72, 0xa3cff8d3, 0xbb81d76e, 0x4c90ede7, 0x2615b970, 0xd8f924bc, 0x97f7c33a, 0xbae0ffb4,
+    0x6f3e1819, 0x9738b3ac, 0x899e73b9, 0x3092348f, 0x24d6962a, 0x2467910e, 0x949f5efe, 0x93ddaf8a,
+    0x2b355b19, 0xa520bb7c, 0x52471283, 0x31bb8905, 0xa093b61c, 0x74b331cf, 0xc582564d, 0x2f8149c1,
+    0x5e0584ba, 0x0a6d60f7, 0x3e270202, 0x451ae8e2, 0xbdc5a3e9, 0xbbeb0ce3, 0x92c5b581, 0x213db13d,
+    0x2de8fd7a, 0x8b9fa089, 0x6ca2857e, 0x8452ffa6, 0x56e236d4, 0xd2b8dd41, 0x44de2ef7, 0x53af27f5,
+    0x611f22cc, 0x0eae4116, 0x01f82b5b, 0x95e62011, 0x74930188, 0xdc3b1b95, 0xe0f7396c, 0x83bab289,
+    0x841eb590, 0x1b35e6ee, 0x97bfeda3, 0x5d98e4f1, 0x2aad9041, 0x3de3eb10, 0x71ff97c4, 0x8f82399b,
+    0x7fd0638f, 0xa7aa0758, 0x597f3767, 0x2b4b57de, 0x45aa4be1, 0x7196f730, 0x315788fb, 0x8d634ce7,
+    0xfeb12205, 0xa1bd19cf, 0xb49e6187, 0x7a8e1de7, 0xd0d22715, 0xaa86f288, 0xb2610ee5, 0x1096e895,
+    0x6d8ad642, 0xa529b34d, 0xa8dc5fe0, 0x84aa8963, 0x29b40527, 0xbdb5c2a4, 0x4b714b7d, 0x70a2edd5,
+    0x8366eadc, 0x7892cefc, 0x550752f9, 0x88b5c929, 0x1558f467, 0x73a95c57, 0xbf1bde68, 0x36506713,
+    0x54197324, 0xcd9b2b29, 0x769aeee4, 0x42dbcfb3, 0xe4d1b225, 0x532a48b1, 0xaf194e4d, 0x7cc67899,
+    0xa62b9092, 0x771cb775, 0x970be575, 0x9ad5d6b6, 0x588246e5, 0x6911f984, 0x39ae798f, 0x6a445354,
+    0x541b9fc7, 0x7d6bb1b5, 0x837a3567, 0x51419f75, 0x519b85be, 0x86b6e0fe, 0x465cc08a, 0xcdd0f5a0,
+    0x40a60c80, 0xe48bef52, 0xf1237b51, 0x4f4034c3, 0x1dcd3390, 0x2da2ed8c, 0xf06fb656, 0xef3144aa,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000002923003274661805836407369665432566039311865085952 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cc, 0x9a4ea806,
+    0x00000000,
+    0x8c095389, 0x6860dbbf, 0x27bcdf08, 0xc5fa08ff, 0x67039fa9, 0xaa297ea3, 0xcefb0582, 0x82a4a780,
+    0x05c2f6ae, 0x9d336871, 0x6c380d97, 0x8fdd8b8f, 0x9f51c09c, 0xf7ccbf97, 0x9fa7b604, 0xa5756129,
+    0x3b3824af, 0x8b211bbc, 0x1ce9dc0a, 0xaec70142, 0x092080d8, 0x279ba4d7, 0x9866b373, 0xd8c2388b,
+    0x965ca5ec, 0x6cf4abee, 0xf4116f01, 0x0655b6ee, 0x4720612f, 0x259cea31, 0x6a54fb5a, 0xa445b56f,
+    0x6b8cc24d, 0xecf70b49, 0xecca06b9, 0x7f0d5e0b, 0x395c7a65, 0xd2d8597c, 0x5f9551b3, 0x8f9fd132,
+    0xb947ebe3, 0xda3d991c, 0x254520bd, 0xded9fa09, 0x7a022f6e, 0x7ac345c1, 0x6b84fef0, 0xf9c279ab,
+    0x9ff72186, 0xeef1ffaa, 0x136634ec, 0x61c5b20d, 0x7b46a908, 0x5df3ee34, 0x36674983, 0xc8833a43,
+    0xa24331ea, 0x3efcf01c, 0xf34e31ce, 0xd53ef1b7, 0x6f08625c, 0x9e6866e5, 0x2e090ae5, 0xa0ae0bb9,
+    0x9e23c326, 0x44247c6b, 0xb614c05e, 0xc58d3085, 0x4efac1be, 0xe8fee1ad, 0xf8dce9e9, 0x166c4b09,
+    0x416568b2, 0xaa6c5b71, 0x043a8874, 0x204c6533, 0xb623d640, 0x56c2033f, 0xd72c5432, 0xc16cee37,
+    0xd70cc2db, 0xc8f5f858, 0x3180ca35, 0x6a0bad3b, 0x8cd0f72d, 0x16619f2c, 0x4cd1023f, 0xb0818cbc,
+    0xbfa68195, 0x29de854e, 0x6ef752bd, 0x92c99e57, 0x3fbf7570, 0xf38250a5, 0x2682bb3f, 0x5f1f04b7,
+    0xad35ffe4, 0x1777739a, 0xd2c275ec, 0xa83cab9f, 0xaeb161eb, 0x2938bb70, 0x6d6a667b, 0xc8c3d70e,
+    0x1fe4294e, 0x80369154, 0x12dbf89c, 0x47f7b4a0, 0x816a889c, 0x67d0108c, 0x865e9cbb, 0xeba4f614,
+    0x2740f96e, 0x5be13774, 0xc0fe86f1, 0x44ab8192, 0x0bdace9f, 0xae5c1b94, 0xe8f1c90e, 0x8a856f98,
+    0xe9d4dffd, 0x5957a21f, 0xf7b3a63a, 0x3cbe5374, 0x2b6646a5, 0xe9442c6b, 0xd6242158, 0x05d2e280,
+    0x33b096c5, 0x0a85e0d1, 0x5ce7f56e, 0xdcbd40b0, 0x0dfc2d81, 0xeecfbbe2, 0xcfd6c365, 0x97086832,
+    0x7db4bd06, 0x8dfb074e, 0x87be0ea4, 0x82d4d20b, 0x85601b54, 0x946705d2, 0xcbb4762d, 0x825fa246,
+    0xf7eea398, 0xddfb9e60, 0x2758769f, 0x73009708, 0x4a080583, 0x3193cf49, 0xa974911b, 0xdcc013a3,
+    0x214308c3, 0x1bd8fb8f, 0x84186d7f, 0xb6f69500, 0xf51d06dc, 0xa05e1428, 0x9d1cbfbf, 0x506746cd,
+    0xac67adbf, 0x193c26c7, 0xe26ceaa5, 0x3698bd4f, 0x052d2247, 0x7a7ab552, 0xaeb9f834, 0xccfbc2e2,
+    0x867af650, 0xd05ef4af, 0x42ed3c36, 0x57877822, 0xa10b9555, 0x4c1f4ee4, 0x25c90a13, 0xe698cc45,
+    0x3cd3194b, 0xf65cf694, 0xffc26d34, 0x75bfde7c, 0x55b4004e, 0x4ef6cefd, 0x6f716370, 0xdc591015,
+    0xa0adae65, 0xe0771ab5, 0x987e6d99, 0xf911c106, 0x92e1ab78, 0xa9d5a9e5, 0x3e5911d8, 0x3b8af283,
+    0xc14fb209, 0x17a76dbc, 0xb06d557e, 0xb36b9cf7, 0xe58b5730, 0x7bf00ce4, 0x3c2a2982, 0xbadc9135,
+    0x3f8bf654, 0x4a8c649d, 0xdd5d5d39, 0x6b22d3f5, 0x20debe7b, 0x1f7cf03e, 0xbce458d6, 0xce17e269,
+    0x8c6f10ce, 0x9e572bb2, 0xb6f6d452, 0x91e373d8, 0x79398ca2, 0x38adc069, 0x756f3d60, 0x73c7f3d6,
+    0x380a50dd, 0xf63c4e88, 0xd1a96406, 0xcdd8a6a9, 0xebac8235, 0xf4ffc336, 0x33ff0142, 0x029b13a2,
+    0x0009a739, 0x6220844a, 0x56101880, 0x75279156, 0x8cec59b2, 0xfffe934d, 0x7d88bdfd, 0x04f0e281,
+    0xfa9611a4, 0x5b305fff, 0xd13e7f31, 0xf9741695, 0xfe0967f7, 0xc0eb2d7d, 0xd6f9ea80, 0x7b166a2e,
+    0xec1385c0, 0x89405f79, 0x05a947cb, 0x7607fae1, 0xd7284d32, 0xea95ef49, 0xde1efee3, 0xeae4c2c7,
+    0x1bca53e0, 0x95e01126, 0x4ed6fa34, 0x0b25d906, 0x42a64aea, 0x7710f5c9, 0x9b1103c5, 0x36680b16,
+    0x332b3848, 0xcca7e35c, 0xef1adece, 0x4e4d0903, 0x10ca05f4, 0xb63fa737, 0x35afd6ef, 0x4624986a,
+    0xbd734916, 0x24497e5b, 0x796714a0, 0xbaa0f1ae, 0xc4bb791d, 0xa57d3c17, 0x899e1639, 0x355ebfa8,
+    0xd87c31af, 0x7b69a68c, 0x41b39de1, 0x60e94221, 0xfcdef463, 0x1f6d961f, 0xa3f25c8b, 0xa328d53b,
+    0xc47de8ce, 0x6223f887, 0x1bb84fb0, 0x46d6c951, 0xadf9fb21, 0xb44c063f, 0xe91b363d, 0x7e6a066a,
+    0x6d351caf, 0xdd147f3b, 0xc8ea122e, 0x795b4d35, 0x3618218c, 0xd1145f5c, 0x26065d86, 0x06357976,
+    0xec2cdd5c, 0x8b3ce9ac, 0x56b6b15c, 0xdbf5d29c, 0xb7501f78, 0xbcbd70d2, 0xc3300028, 0x156d6fef,
+    0x1f081d48, 0x6b8966a0, 0xff7108a5, 0x87c5b69d, 0xc669de86, 0xb623759a, 0x19caf272, 0x7b4aabbc,
+    0xfe14eff0, 0x3178838b, 0xee59644d, 0xff390bcb, 0x100764ac, 0xa4ae0176, 0x62be75f4, 0x872ccde1,
+    0x5b17b400, 0xd9dec8b8, 0xdb03fa23, 0x7acb68f7, 0x1201455a, 0x0273c7d1, 0x0324f1eb, 0x65aed7db,
+    0xec3d65d3, 0x0a3fb14c, 0x0e799d63, 0x7529d3b3, 0x67ffd8b4, 0xfdfa821a, 0x9580213d, 0x07c7b96a,
+    0xd65cba03, 0x135126dd, 0x29c2b18d, 0xd0c2dbb5, 0xfa264ea9, 0xea441e11, 0xb515c428, 0x6d7133fc,
+    0xe5c47a27, 0x7ff6a6e5, 0xe9395616, 0xecbc27b8, 0xe0f37f00, 0xc96ead08, 0xe76d4149, 0x603e6d92,
+    0x2a88ffd9, 0x7902958f, 0x8fa0ca2f, 0xd5eeead3, 0xe8e94bf1, 0x3dccc9a3, 0xb979afc2, 0x9bb2db1d,
+    0x30258033, 0x284a515b, 0x106d57f0, 0x0240a879, 0x66601939, 0x616846c5, 0x2b862c53, 0xf906d22d,
+    0xf93f4726, 0x6b934289, 0x501e0e78, 0x93f08fb6, 0x3c400ab2, 0x12df63ad, 0x18d87b7f, 0x7686fe4e,
+    0x090ec84f, 0xb5b28537, 0x4d95e7b4, 0xb7bf1642, 0xa3f80234, 0x066298eb, 0x9ce175eb, 0x46b1b07d,
+    0x5c7de8b5, 0x76877f91, 0x122580eb, 0xb4271bac, 0xec3d6ca2, 0x4fff201e, 0x2fc21a17, 0x8a932cbf,
+    0xbf94d0e6, 0x8e4409d2, 0xd44a8202, 0x29b61d5d, 0x1d863cb5, 0xf810443b, 0x29226eab, 0x334fcce0,
+    0xc9e46cc0, 0x0e18dceb, 0x6ec9f875, 0xebf77305, 0x95f4782a, 0x53aa994d, 0x80fc7c9c, 0x129a08dd,
+    0x2cf76043, 0xf453b597, 0x04a19663, 0xf7d6403d, 0xa9d513ac, 0x9e4816a8, 0xa7dfa327, 0x69f04676,
+    0xd2533d82, 0xb92022a4, 0x1c18c595, 0x7d84c3f2, 0x9ee40efc, 0x45fdd358, 0x10da55fc, 0x63b48746,
+    0x87c1b803, 0x08505b91, 0x1d60f021, 0xb9b0225c, 0x5e24e1e6, 0xe8bcc4dc, 0x488a4ea6, 0xb4e5621f,
+    0x8214b56a, 0xac0b9891, 0x13558036, 0xa208b487, 0x2e196e41, 0x7aa2bd07, 0x0c558811, 0x96b10b83,
+    0xdb867f65, 0x4ca13273, 0x72cfb4ab, 0xdc598573, 0x03058089, 0x7cdbf81d, 0x32c72ac9, 0x6d19764f,
+    0x2cc7d17a, 0x7bcde53f, 0x782c926a, 0xb81734de, 0x76e9b493, 0xc084d035, 0x8aa9e559, 0x8f8e6da5,
+    0x129eacb1, 0x5a79a333, 0xd5550327, 0x25b65e5c, 0x0ff825e2, 0xa4f42e68, 0x1491fb36, 0x0991d413,
+    0x9db08d51, 0x07205a76, 0xd79144c6, 0xafe8891c, 0xfbb3d4d0, 0x1d2f66cf, 0xac86f20c, 0xaf51fc3b,
+    0xe474a6f0, 0xa2f94925, 0x354c2dc6, 0xe9342fdd, 0x656e023e, 0x97c1ac42, 0x381863d9, 0x64703152,
+    0x2a400953, 0x38ffe094, 0x21f76691, 0x2ecb086e, 0x2eed43ab, 0xd21d9c8c, 0xca81db5a, 0x92cb0070,
+    0x74fdf0ed, 0xd4692ef1, 0x72c990a0, 0x004cb656, 0xcc81ab3b, 0x96683278, 0x9da40f47, 0x5014f447,
+    0xec120ac7, 0x8263b85d, 0x2878a042, 0x5af0a94d, 0x61c0819d, 0x11d81854, 0xcb1c11f0, 0x4eba753e,
+    0x03c4c3d8, 0x9b78d866, 0x36a74b62, 0x2a000848, 0xa8704731, 0xc838a9d6, 0xd7471007, 0xe81ab3be,
+    0x30e0d68a, 0xcc1927a6, 0xab2e2f0c, 0xf34e6948, 0x533f24cb, 0xb1449b4f, 0x362d8e4b, 0x6709b5d4,
+    0xfd1e35e2, 0x9de2ab33, 0x3b7218e6, 0xcb886c2e, 0x9da89e90, 0x886a1fe4, 0xffce3352, 0x66af773e,
+    0x4542fd8d, 0x954aeb19, 0x2a8c0ba6, 0x2b6fea49, 0x4a84d858, 0x5d3c9065, 0x14f4acfd, 0x5fa36447,
+    0xe4241765, 0x95c97467, 0x61fba84a, 0x0bf64b6c, 0x221c5178, 0xf373b8a7, 0x9d241da7, 0xba6327be,
+    0x3261aabf, 0xf1e4c23a, 0x30bd6d8f, 0xb92e8812, 0xb998afef, 0x82bea76b, 0x14ebd04d, 0xc6b8753e,
+    0x279db493, 0x30209dd2, 0x592f1a8b, 0x5318b833, 0x1c6b566c, 0x7ba43634, 0x1a3f327d, 0xfff3a193,
+    0xfe0bd73f, 0xdda06463, 0x6bf31bea, 0x74965da1, 0x36942292, 0xfc9e6080, 0x33756c82, 0xbae32cf5,
+    0xce03e16e, 0xdd9a5191, 0x5c65d90a, 0x57e23c12, 0x3f45536d, 0x97e66c6a, 0xc49720ce, 0x800b6e0a,
+    0xf0813da8, 0x5a248745, 0xbdc1a123, 0x4c1c9279, 0xc8d77f6a, 0x3a62f8c7, 0xed2b5f88, 0x8103614c,
+    0x436d6f7f, 0xa439f751, 0x4b2c99da, 0x512627bf, 0x72bc45f6, 0xad15e913, 0x8a550b34, 0x830c994e,
+    0x451cd0d8, 0x36283686, 0x5bae9a05, 0xf1c8898d, 0x960690c8, 0x1677319d, 0x8ac91898, 0x2ae2941e,
+    0x26ac4eb8, 0x0bc072d9, 0xe037f518, 0xc2c3a6cb, 0x1f0c4586, 0x4e74ac09, 0x241228fa, 0xa69cc671,
+    0x9d7e854d, 0xd0146b72, 0x2f5b743f, 0xaf71266b, 0x0e381c68, 0xc136453f, 0x5ce31400, 0x543725da,
+    0x5582f25a, 0x0911550a, 0xa1cd9aff, 0x1ee7cbbf, 0x4423d661, 0x33c7525b, 0xcb28d3ee, 0x920eefcd,
+    0x63c43556, 0x7cac0e58, 0xca17353e, 0x473d78cc, 0x4c2f9d0a, 0x32ddde96, 0xb8ad99d0, 0xa8e6e8d4,
+    0x1ceee65b, 0xe55c7003, 0xbd779509, 0x1f41db6b, 0xc3531314, 0x58993937, 0x188dc8f5, 0xa7e1b2c9,
+    0xee6a145c, 0x976cb2f2, 0xc46738da, 0x7803003d, 0xa03cf1cc, 0x931ebdbf, 0xf65dabb2, 0x550b7644,
+    0x1dc6318f, 0xe5956948, 0xb1006e7b, 0x93c6ed42, 0xf0df1c2a, 0x9dfef243, 0x3b03aed9, 0xa44e965f,
+    0x39124562, 0xd2329f7a, 0xa19241a3, 0x45720be3, 0x3caa9e1c, 0x56f04df7, 0x24bc722e, 0xe947d6ce,
+    0x882a0a5f, 0xf6d63660, 0xa8eb6ee1, 0xcf3c6917, 0x55ea6fac, 0x94002ad2, 0xa9558d72, 0x2ebf669b,
+    0xb1d0d090, 0x0d4149ae, 0x21ef936e, 0xfd036378, 0xddcb360c, 0x2f295866, 0x115ce2f7, 0x2a7ef414,
+    0x59da5a6f, 0xc543bcdd, 0xd86363a5, 0x00a183ff, 0x5987bad6, 0x2489c349, 0xa57fff7b, 0x1765230d,
+    0xad53e8a3, 0xfb35b54f, 0x4412f4ee, 0x52efe7f5, 0x5719d721, 0x2780bf67, 0xd8206434, 0xed0ee86c,
+    0x9af2ed51, 0x9fbb5192, 0x6a115240, 0xfdd284fe, 0x443f9795, 0x80bb5b19, 0xe774759f, 0x6926ad7b,
+    0x776d7ede, 0x0f08c031, 0xc3c75d67, 0xe736c62d, 0xf3d38904, 0x96a25fce, 0x932f31ed, 0x0dcea9d8,
+    0x9b877695, 0x382bf2a2, 0x4e2b4156, 0xbeddc892, 0x592dbabf, 0x811950d4, 0x5e53e655, 0x92443919,
+    0xff69b7ae, 0xde539c73, 0xc4156568, 0xb8ef0360, 0x898c944e, 0x35616985, 0x046c4467, 0x97387476,
+    0x4ba83da1, 0x732bba51, 0xeec51f1f, 0x5b79b5b2, 0x069a504a, 0x84d9e569, 0x64ff2e16, 0x47fc166d,
+    0x6f26ec2b, 0x008ed6f1, 0xc3f2bc0a, 0x2f340304, 0x70d75d78, 0xa2554e3e, 0x05ee1279, 0xb1749041,
+    0x61eece97, 0x9fa71593, 0x3353b610, 0xead9ffce, 0x5ca2e4cf, 0xdf8c7876, 0x8500cf13, 0xb0aca550,
+    0x8f3860e0, 0x68b1bf57, 0x9a6ce600, 0xaf495def, 0x3ab9694e, 0x2c2190fb, 0xb8d76cb5, 0x7f76d6d1,
+    0xaaf19a46, 0x3e765f1f, 0xd3537530, 0x0871e048, 0xf0a014d7, 0x0d3bf014, 0x1f397055, 0x369d7d21,
+    0x8b36db39, 0x227d6883, 0x474bb019, 0x9fed7d11, 0xfcfe14a7, 0xfe1a91ce, 0xef4c4456, 0xd76875dd,
+    0xe7519413, 0xe9a84b11, 0x226397ea, 0xe96f4e0d, 0xe08e8bfb, 0xadd7b3d0, 0xae9045c8, 0x61fa6a82,
+    0x9a9f4325, 0xc95b9edc, 0x248b629d, 0x3aeb2dc1, 0xebf72f1b, 0x11d6f215, 0x2d6a3e27, 0x0875d8fb,
+    0x64da24b5, 0x765d2773, 0x03def50c, 0xf4b9df5e, 0x701978d5, 0xbbf4b72d, 0xb2da8ffd, 0xb52fb892,
+    0x9348f915, 0x7048393b, 0x28bf2b55, 0x56030631, 0xe9555613, 0x3192f224, 0x0fa24642, 0xe715aa14,
+    0x97f6bef3, 0xf53db92b, 0x3b22e069, 0x370c57a9, 0xf65c5d09, 0x869e2bb7, 0xb67e17e9, 0xbffc66b0,
+    0x134a5858, 0xc8140616, 0xdd2aad36, 0x946bd54c, 0x326c17f6, 0x343e5223, 0x2a78f207, 0x7445bff7,
+    0x71fd1d16, 0x3a908f18, 0x1d33193f, 0x25a1ba89, 0xe54f2f95, 0x75c2d991, 0xf92f721f, 0x114b21bb,
+    0xbc49ea63, 0x25441b1b, 0xa6dc3c97, 0x361e4871, 0x2bf3128a, 0xd859dea0, 0x1e745b96, 0xd20a7de1,
+    0x548406ee, 0x41339e9d, 0xcf52d5a1, 0x9256c735, 0x118d0cba, 0x234e5b49, 0xa3ad0f46, 0x546e2fbc,
+    0x0562e06a, 0xf12de94e, 0xcb75fc84, 0xd9fd1a79, 0x4355c008, 0xdab3bd70, 0xafeabea3, 0x29dd5716,
+    0x24273713, 0xa88c1651, 0x0a6bd34e, 0x0ebcecf1, 0x9038b34e, 0xbf59f337, 0x86984f75, 0x8d027596,
+    0xdd8ac114, 0xe8dc10e9, 0x867afede, 0x506f163f, 0x6fa52992, 0x08c1fef4, 0x93c64dce, 0x5ab3dbd3,
+    0x4ce310ca, 0x604deab2, 0x8841aa24, 0x31bca555, 0x8e5d219f, 0x332dfe4d, 0xfef6e338, 0xe40b5104,
+    0x3c080271, 0x8e7e282b, 0x5736fc80, 0x6a934b61, 0x9a8d0a23, 0x5a49e49d, 0x954ab502, 0x6c0608a4,
+    0x3f8177f4, 0x14064577, 0xc386808f, 0xa0d5f8f2, 0x526cc109, 0x286565d9, 0x80f52367, 0x2984bad5,
+    0x4841b3f2, 0xdf569383, 0xf2f84d1e, 0xebaf565a, 0x34c1b6f1, 0xcafbdc2e, 0x8c9a596a, 0x354e0e74,
+    0x00971928, 0x58dd2f9d, 0x1db80be9, 0x48dc34e3, 0x3fa2523c, 0x38280296, 0x26a1619b, 0xfb3d3edf,
+    0x81e020cc, 0x3b744e55, 0x79559e15, 0x0df79f3b, 0x7c3f302d, 0x39448e19, 0x711e8fb3, 0x5fe8a1ca,
+    0xb6484d42, 0xcf5f0444, 0xda1ea9e0, 0x122c6e8f, 0xe2a172a9, 0x3b115f81, 0xa99ad1ac, 0x2933c05f,
+    0x4d60eb56, 0x8355a7b3, 0x09aaccce, 0xbf5fecfb, 0x2c5ebf70, 0x570ed38d, 0x1601c925, 0x185ed3ce,
+    0x3907b383, 0x617adbe6, 0xe29f0551, 0x97058878, 0x0657b50b, 0xa6dec944, 0x057c70a9, 0x967850a2,
+    0xffe651e0, 0x2ca3a3af, 0x266df07f, 0x7492da4f, 0x2e6def0e, 0xd100e71f, 0xe058652d, 0xf7e21a18,
+    0x83d1a196, 0x3a413a10, 0x14f49221, 0xd97dc6bf, 0xe48acf58, 0x201890c9, 0x8af75e92, 0xe6421e1e,
+    0x4b0a5bb9, 0x2c35bc41, 0x085a73ae, 0x11c91c24, 0xd9fb14f8, 0xaac0619b, 0xe1dfc194, 0x1c637b1a,
+    0xfd869a30, 0xbaaa869a, 0x197770ac, 0x291e7934, 0x065c443d, 0xd6fc04ba, 0xeca8037b, 0xd9c57342,
+    0xaf0cf2fd, 0xd6cbc7eb, 0x0c697554, 0xdf029182, 0x6d1edb8d, 0x6ea93e0d, 0xfbd3ea17, 0x94a02d43,
+    0x391aaaed, 0x80d45156, 0x7227ff5c, 0x3246a033, 0x100ebc2b, 0xb4f52925, 0x24c91c95, 0x6b5c7b40,
+    0xec66c9af, 0x681c54a7, 0xcdf23cb1, 0xb69d60c4, 0xdb65aff9, 0xab1a88f9, 0xc9de8bc7, 0x6e96503f,
+    0x0e855f69, 0xb37aeb76, 0xbe16aaed, 0x60324245, 0xf7f6e395, 0xcb3aa7c7, 0x604353c0, 0xd16474d9,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000001461501637330902918203684832716283019655932542976 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04966, 0x4d275402,
+    0x00000000,
+    0xbd56d4b6, 0xb8cc3a45, 0x662360aa, 0x352dea12, 0x9e9c938c, 0x4f37ca56, 0x6608dade, 0xcc1af1fa,
+    0xd3d3321a, 0x20b09e19, 0x9591fac5, 0x8749813f, 0x575758eb, 0x467cee0d, 0x6f2d2b8a, 0xc02cbd39,
+    0xe537829a, 0xbac50c6f, 0x296e02be, 0x6c610a65, 0x02c545fe, 0x31da251f, 0xf323d82e, 0x2b39bdd4,
+    0xaa946b14, 0x929653e5, 0x55c56438, 0xd2f5c58d, 0x878c4d5d, 0xdda3faa9, 0x6542c21f, 0x77c56dca,
+    0xe2f55ccb, 0x5596d121, 0x9b6228e4, 0x12323be7, 0x41630c74, 0xe3c4b917, 0xec628c22, 0xb94fcc39,
+    0x2bcf6523, 0x3ceb24bf, 0xe73911a3, 0x76247f78, 0x0f4a2eb2, 0x925b74fe, 0x5abed78b, 0x4dafa31d,
+    0xa9929cd3, 0xdd80cfca, 0x8db58887, 0x0093a896, 0x40e9b609, 0xf0504ce6, 0x731fba81, 0x81021486,
+    0xf55981a1, 0x9c717bde, 0x8becb484, 0x8de2335a, 0xbf80067b, 0x4b48cfb7, 0x213bbb70, 0x134d9f2a,
+    0xb1da0e1b, 0xbddfb3a5, 0xc3811e40, 0xa4c411eb, 0x6935cad1, 0x40809ed5, 0x19abcd6a, 0x5af0ac5a,
+    0x2c3fbf79, 0xf6afd8c4, 0x143e3511, 0x00c9c5c7, 0xcbe03ebe, 0x36a5535e, 0x445c3f15, 0xcab26f92,
+    0xf44fc2cd, 0x9bb40790, 0x9993b3f5, 0x6e2efe16, 0x0afdf646, 0x0a49b7a4, 0xe8059517, 0xc89569f7,
+    0xa63914b0, 0x9d9aa3cf, 0xa75798a6, 0x4b8e6e83, 0x3601b670, 0xfb2e02f1, 0x1f8c0195, 0x014a5105,
+    0x7a7cc371, 0xc488ea52, 0x5ae84002, 0xb36f1d1b, 0x99a26786, 0xb19a0e2b, 0x2f53cc61, 0x3ecf6840,
+    0xac96ffd8, 0xb56e8eca, 0x2dbbcdd6, 0x654e4f19, 0xd40a6d7b, 0x49cfd8a7, 0x7c18e347, 0x550135e3,
+    0xff00e8db, 0x76adc810, 0x7dc49ba7, 0x5223c32d, 0x53e90d26, 0xe4246715, 0x466ab4dc, 0xbd0ffda5,
+    0xcd7ac429, 0x90706692, 0x6a958a6f, 0x8c5923e0, 0xe7444316, 0xdacfcebb, 0x4efb10f4, 0x0eec51a4,
+    0x25b5391b, 0xb8a7cc96, 0xc209cf8d, 0x4318fc7e, 0x13728419, 0x74554d86, 0x209d62ef, 0x5966927b,
+    0x958948a2, 0x0c709033, 0x90feb00f, 0xe6db419b, 0x2875e769, 0xd1319d80, 0x70a33daa, 0x536858c1,
+    0xd7b4d9d3, 0x27566a59, 0x5b3477d2, 0xc045b805, 0xd464cc84, 0xc4a9b01c, 0xf8c4f162, 0xd4e21cb1,
+    0xbf6fc8bb, 0xda389da9, 0x2b564d94, 0x194faf66, 0x8323670a, 0x42562b27, 0x8f62542d, 0x4e6d7ace,
+    0x8aebbad3, 0xd4e1a281, 0x01fcdc38, 0xaca7ee75, 0x8648e711, 0x88ac4f29, 0xcf0e023e, 0xe03f61be,
+    0x5ae8905a, 0x39dd2ddb, 0x9dd00427, 0x35884053, 0x9a3e27c3, 0xeade12d8, 0x99b1cc87, 0x208323fc,
+    0x3215a465, 0xe38aeb61, 0x21eb00f6, 0x5b4b5b3e, 0x591834b4, 0xdc378307, 0x252e408e, 0x80d21520,
+    0x261502ac, 0xa9369b89, 0xbec43c2d, 0xe798df80, 0xdeb2f613, 0xeb2718b1, 0xc787bb10, 0xfab70ca3,
+    0xede3ac8b, 0x5b79aa2e, 0xb83379ef, 0x38b82eaf, 0xb3ed936d, 0x18e07850, 0x56398e5a, 0x3df2d99e,
+    0x20a5a074, 0x78cf5450, 0x99c742c2, 0x5e3dc172, 0x7fb94ca4, 0x7b008d0a, 0x47a0f2a4, 0xb7c7134a,
+    0xc17ca692, 0xb3860318, 0x108b2ae5, 0xa836ca27, 0x7b9b3750, 0x8bdbf8d6, 0x33378dfc, 0xf8c23443,
+    0x51ad98b2, 0x473b187a, 0xd60bd021, 0xa084ea63, 0xa3d31f14, 0x5c8e8215, 0xce37a86d, 0x64bbae63,
+    0xbb658027, 0x98ba8e2d, 0x34ebb2d0, 0x4614e21a, 0xa9e912bd, 0xce68827b, 0xd000347a, 0xa5e371b2,
+    0xb2799d1e, 0x0fd4f570, 0x7ffec54f, 0x5c80197d, 0xd214cc33, 0x445e75be, 0x2f1efae1, 0x680719d3,
+    0x315f1c53, 0x1ba2c192, 0x8efe7cc9, 0x0b69f0fb, 0xe4c93a02, 0xd6093086, 0x7d733ffe, 0x464863f1,
+    0x3b307602, 0xbdab40fb, 0xf2c6adbc, 0x758be850, 0xc3dfa620, 0xdf90ad32, 0x561bb696, 0x76c2093c,
+    0xa4c18a33, 0xd16ae090, 0x7569de3f, 0xcf09d921, 0xd6c6ba39, 0xdfb36456, 0x114905a0, 0x1c7aec4b,
+    0xc50b69ef, 0x352e7bbb, 0x4a4b40cf, 0x64e1313e, 0xca013754, 0xe2bd0148, 0x11e250ce, 0x626461e0,
+    0x804fa1ab, 0xa547221b, 0xbe930383, 0x31a09e23, 0x59e53ca3, 0x142ba2f5, 0x3e89e3d0, 0x284cf388,
+    0x5713ae09, 0x28274be0, 0xb1ca680e, 0x50aa8c39, 0xea9f34b3, 0x31d090e1, 0x5b80c07d, 0xbba7dd91,
+    0x83f42b3a, 0x39e56db5, 0x847e5d67, 0xfa781f33, 0x417f6850, 0xcadd0bd4, 0x0f3d2210, 0xb76e64d8,
+    0x3c0048b9, 0x5c3f33c8, 0x9dcd2c2b, 0x0d38db13, 0x77fafece, 0x511942b6, 0x70b43271, 0x7d13dd03,
+    0x7f42197c, 0xee75f8da, 0xeac1081f, 0x85d81523, 0xee7d5137, 0x5434f476, 0x91e2d398, 0x2e073902,
+    0xdfbca73e, 0xb75fab88, 0xf1c5e642, 0x3ba83019, 0x0dbfc860, 0x78c25d0d, 0xdc1fe0e8, 0x2531f79a,
+    0x7ece79ed, 0x3666b3b7, 0xdcd8a070, 0xa4d57ff0, 0xd01ed2cb, 0x455aa31a, 0xdb86a0f4, 0xbd496e17,
+    0xeeaebe58, 0x13ceb63e, 0x0576ee64, 0x39f87c52, 0xbf8a71a4, 0x7b814143, 0xe1804286, 0x7d14e69b,
+    0xc6834b2d, 0xd436d98e, 0x015df0a2, 0xd6b6d42c, 0xc50379c0, 0x994bc8f8, 0x250b8c0e, 0xb303116f,
+    0x324e0226, 0x9f4a4830, 0x6edfcc7c, 0x50774591, 0xebc6df5a, 0x46047c65, 0x92c0dbc5, 0xb03170b4,
+    0xee02ee02, 0x4b013c5d, 0x7a646ac7, 0x90402b1c, 0x2f6783c1, 0xb65f0641, 0x37d2aee5, 0x9a432dbf,
+    0xb7a635de, 0xa686130b, 0x7193d2ef, 0x177b9d69, 0x1fc30951, 0x93f899f2, 0x89cb4786, 0x3535b582,
+    0x469c92dc, 0x0963d169, 0xc3dd86ac, 0x8a3c11cd, 0x5a72b1bb, 0x1dcd1c37, 0xd0fa848b, 0x0812ec39,
+    0x74218533, 0x4416789b, 0xb4553108, 0x08aeaa73, 0x80f05cad, 0x9a734d03, 0x9cc8b1bd, 0x13a89523,
+    0x696d9d1f, 0xdf664165, 0xeef3ebf3, 0x804e8780, 0x98a263f0, 0x22c76627, 0x7d80251b, 0x68f0a65e,
+    0xd3252034, 0xaed0e142, 0xdc6149b1, 0x99c06346, 0xba92c708, 0x7f539da0, 0xd97774b8, 0xfd752b2e,
+    0x9b03ffe0, 0xf83409ff, 0x66090b9d, 0xe9f55d86, 0x6cd4db96, 0x1ecf6dc9, 0x3c864977, 0xb4b8119e,
+    0x3a59d6aa, 0x799424be, 0x466744a2, 0x299f7e0c, 0xeb06142c, 0x8680385b, 0x97525e79, 0x6ae270b1,
+    0x165dff04, 0xf340746c, 0xfe40e833, 0x5ce1c7fe, 0x082a8f7b, 0xbd2a68d4, 0xf14cfaa5, 0x69f3c24a,
+    0x0933ce8b, 0x1a5e3b33, 0x1b6349d6, 0x3bdcca7a, 0x2b688b45, 0x7c4807e6, 0xf62b9fee, 0xde1fc703,
+    0x72012fd9, 0x3f9bbd23, 0x89178982, 0x04498158, 0x55e853cf, 0x802d46fd, 0x7c8fffc1, 0x80740709,
+    0x1c2c258b, 0x995ac85b, 0x85d38883, 0x15c12dc0, 0xc426e8ce, 0x7cc9fc4f, 0x7794177d, 0xe55ad8c0,
+    0x9b1fd9b9, 0x6d526787, 0xad297d63, 0xc29ef223, 0x1be364a4, 0x72da974e, 0x7429f53d, 0xdde2862b,
+    0xc3e1e4fb, 0xfe77dc46, 0x0a89ca28, 0x846a9bef, 0x779c14b0, 0x430a597a, 0x6fb2851c, 0x8a65d3c5,
+    0xcd57e4b4, 0xde311007, 0x9b5e9f3a, 0xa0821914, 0xc05e2b4b, 0x0635eb1b, 0xaee5a329, 0x270d6db5,
+    0xfbb916c1, 0x0f1d11c2, 0xd53c0e67, 0x6f460fca, 0x65893a01, 0x7c8b9ce3, 0x05258454, 0xcad075b7,
+    0xeec03257, 0x91cc879f, 0x342660f1, 0xe781247c, 0xc8dca2da, 0x6d58791e, 0xea1ac406, 0x5d59a113,
+    0x12141080, 0x19bf60ff, 0x251aa132, 0xb7aff0e9, 0x6452507b, 0xf7f21518, 0xd131b4cc, 0xd8483fac,
+    0x1c83f1fd, 0xa73402a3, 0x87548858, 0x55517ebc, 0xebcea73e, 0x5164f8e7, 0x0668838a, 0x86d06ad3,
+    0x0f97cd82, 0x0f33cb75, 0xf0be731c, 0xa4aa9d9a, 0xeca388b8, 0x69d73431, 0xb7b74562, 0xe277a679,
+    0xb3851f64, 0x14ae5d6f, 0x9b529fa1, 0x918f3dd3, 0x364ff9a8, 0x4aac62ba, 0x82a6b9f0, 0x646e0d0e,
+    0x3e6c49e5, 0xbbe94573, 0x369d2ca5, 0xc0258511, 0x9e1074c5, 0xedb7b638, 0xf70ca9d6, 0x063d0a1c,
+    0x36610088, 0x88980825, 0x60c43d37, 0xac550f26, 0x4d247734, 0xba36e17b, 0x30d55bba, 0x9b6fa09b,
+    0xffbbbc6b, 0xefcd1552, 0x1bd11f02, 0x5a11bf66, 0x56cc1c63, 0xf0c32c88, 0x39b3cee5, 0x4cae1478,
+    0x055eb831, 0xe7afa16c, 0x50e46d08, 0x49b0dfd8, 0xfcb7f396, 0x2661d2c2, 0x10cb29da, 0xed8a7fc5,
+    0x2bf2553b, 0xfe0716b8, 0x9e2de92e, 0x205c18c9, 0x0c6949e8, 0x33efd918, 0x2342ff5f, 0x7f75e0ab,
+    0xc8c80c41, 0x92f41696, 0x9e4dba80, 0x94412e55, 0xe0e0cfb5, 0xdc39e381, 0x759b31ba, 0x56698e2b,
+    0xbee521ea, 0x8d6ed0e2, 0xacc6afa8, 0x6e61f0b6, 0xef55339b, 0x014aaa19, 0xc0dd192a, 0x3c96cf83,
+    0x611bdb2d, 0xca47e7b6, 0x795f3c57, 0xe9b90695, 0x6a13e35e, 0x4fb2aac5, 0xa1a7025f, 0x876aba5b,
+    0x80f1f37e, 0x7810b888, 0x126fb654, 0x138672f2, 0x6da16f4f, 0x51bbb89f, 0x49b9fd59, 0xb449d510,
+    0x6882abf8, 0x17d72ae7, 0xeac461d0, 0x7e2a14fb, 0xbf2764d5, 0x1d45b652, 0x6b1bba53, 0x1cd7c7d7,
+    0xe9205b48, 0x8523288e, 0x73fc1a8c, 0x7deca247, 0x3ed80279, 0x4ec441c0, 0x3ef27a95, 0x83f68a3b,
+    0xf2db5263, 0x0ffe7f13, 0x327d2501, 0xf8c21e18, 0x19c893af, 0x1ecca5cc, 0xf51d2aed, 0x795abad5,
+    0x5e85aaa4, 0x3556132f, 0x012d1517, 0x96438ed7, 0x35580f28, 0xde2f58e1, 0x1296f58d, 0x1cdf62d0,
+    0x91db507c, 0x2e6c2352, 0xe15bf66d, 0x3d0e4249, 0x9f062d01, 0xaa556273, 0x42b7f990, 0xfea43aed,
+    0x158d6012, 0xcef6a00a, 0x4e40ef05, 0x7eea4b3d, 0x6eedcb9e, 0x5d461592, 0x049619bc, 0x85205a15,
+    0x88ce37c0, 0x713449bb, 0x7fd95018, 0x0de7346e, 0x3b7f6308, 0xed21606c, 0x23937410, 0x713a7400,
+    0xdc5f0768, 0x54b93fd2, 0xd99703e4, 0xba5d126f, 0x701d2075, 0x100756d6, 0x7e786d52, 0x2835d246,
+    0x88738b46, 0x5f7e03c1, 0x267fbab7, 0x1ffde01e, 0x8ee38fe5, 0x068325bc, 0x1cd7a539, 0x4c86b308,
+    0xca4ac3df, 0xd1ebcb9d, 0xe6710028, 0x35824123, 0xb7abedf0, 0x5b8bbe99, 0xe91ab57b, 0xc3c34487,
+    0xb1c60993, 0x3e47f4bc, 0x13630ac4, 0x1483ce0c, 0x850cfc0f, 0x1bda4b64, 0x210a77be, 0x7562f987,
+    0xd64abe81, 0x0d9df05f, 0x79c7d70b, 0x67b8a38b, 0x77207be8, 0x68ab0d02, 0xfb8e2118, 0xfb8b2f16,
+    0xcadbc342, 0x1636d092, 0xe7226524, 0x7d702bcc, 0x7dd05ecb, 0x7c41828d, 0x444477f9, 0xe585c3b9,
+    0x3a0556c3, 0xe9814f4f, 0x547fd00f, 0x46e696f1, 0x69bc471e, 0x33cabfef, 0xa3d0ff96, 0xa95decb3,
+    0x3dde11b1, 0x664082f1, 0xde188fdc, 0xd4c5ca7d, 0x835de19d, 0x2614d7be, 0xbcc82bcc, 0xccc607f2,
+    0x86a96db4, 0xfa3aa6e3, 0xc7885898, 0x614e862e, 0xc6ddd424, 0x5246d95f, 0x96795343, 0xb8218e3b,
+    0xb050eecd, 0x53c1c151, 0x3e50deae, 0x23972135, 0x27221f92, 0xe42b7aae, 0x24d6d5d8, 0x1f2ca4d9,
+    0x024d9c94, 0xbb218ab1, 0x027bb7b0, 0x2194ef48, 0x9becb01d, 0x576bafe8, 0xa570ba21, 0x6c4215d8,
+    0x94cffaf5, 0xcf9c05ab, 0x59429b5e, 0xda397f2a, 0xa342c106, 0x0b370491, 0xe6a763a8, 0x4e37412a,
+    0x55ca8a89, 0x355800ef, 0xa26199a1, 0xe24d2623, 0x131f6666, 0xaa5c886e, 0x0e0b2916, 0xa0c21104,
+    0x54c36d62, 0x76ca5158, 0x376d4098, 0xa2448066, 0x98c5ba58, 0xb1eea58a, 0x345e8744, 0xb5747f37,
+    0xf7f0d8d7, 0x1aa27c9c, 0x3e497979, 0xb2f496a8, 0x1e9c1d02, 0xf5499bed, 0xa9e8ef80, 0x53858824,
+    0x9f5342d9, 0x14ba8d31, 0x5e7ddd4a, 0x5e3fa7de, 0x5a935842, 0x3dc67784, 0x127f996e, 0xd0cfffb9,
+    0x21167408, 0xc665de48, 0x29f29edd, 0xdcdda18b, 0xbf44e381, 0x881ad93c, 0x946f6fc5, 0xa047f32e,
+    0xb7515615, 0x1bcdfe92, 0x6a3ac57c, 0x6516b1f3, 0xadf6856c, 0x446b007e, 0xa95c6fbd, 0xe28f3ac9,
+    0x1dd2e3b7, 0x4454c9f0, 0x01fbdc06, 0x3be6eb59, 0x4108ceaf, 0x662df147, 0xff32f635, 0x9fc9bc04,
+    0xd517f6ce, 0x07f27c11, 0xd46bb272, 0xd6d36a41, 0x06312093, 0x1592d8a4, 0x18a5b871, 0x842d4c16,
+    0xe21881bf, 0x191233fa, 0xc2c1703a, 0xcf1b6102, 0x67b3613f, 0x371c5152, 0xdfe8850b, 0x5d5050a3,
+    0x106bd221, 0xfe622549, 0xded7f4b7, 0x57b676c8, 0x409bf7cf, 0xa0bf99b5, 0x5d05fc79, 0x1587f1c8,
+    0x15dff9fa, 0xa6c23165, 0xb711b4aa, 0x3614b4bd, 0x3631dfe5, 0xe703b1cb, 0xa6705682, 0x5550d298,
+    0x3f14c78f, 0x66c04634, 0x78d2898b, 0xbe593569, 0x9a152e75, 0xd5b46f1b, 0x35822d17, 0x5023ba3f,
+    0x7f30a9e8, 0xd59fec93, 0x75a5a931, 0xdb9f04d9, 0x639a998c, 0x55a20fcc, 0x26571aec, 0xc4e2ee71,
+    0x354e2270, 0xeb7a3c80, 0x95fc9c77, 0x5bbd5011, 0x29e3b651, 0x67bc3693, 0x75bf2365, 0x88ff38df,
+    0x6bb36bd0, 0x7e5a888a, 0xb3681383, 0x9e217ecc, 0x27cab821, 0x1d651f2d, 0x8d0f4926, 0x81c2255e,
+    0x1bdb1c68, 0x8c292bdd, 0xa70ced24, 0x97ce8499, 0xe56e1ca9, 0x2c3d6ece, 0x21bc669a, 0x43ffedae,
+    0x5c8fd3c3, 0x2bc4be3b, 0x590196ab, 0x71edbe71, 0x3e065978, 0xd43ecfd2, 0xc2d32f78, 0xdcc7520b,
+    0x02455a98, 0x560b6953, 0x41c3016b, 0x96ac8794, 0x62884dfd, 0x9f329f7d, 0xd569d1d4, 0x9ba0ae09,
+    0x8c4a7d22, 0x1a34fa40, 0x997bec24, 0xae206db7, 0xf3000471, 0x4fb07a52, 0x502fb794, 0x5def7059,
+    0xf4602214, 0x496f0f6d, 0x200004c1, 0x9289baf8, 0xf15d5e46, 0xafc0016a, 0x3c2b3d68, 0x9736446c,
+    0xcc5cc92c, 0xc5fc96bf, 0xaba38749, 0x585ede41, 0x8115cdc0, 0xe0628ba7, 0xd87f0d86, 0x9c81a2b7,
+    0xb27a85e2, 0x5c943edc, 0x034e32bf, 0x6272e93f, 0x526a655d, 0xec4733e4, 0x4f215207, 0x62aa32d3,
+    0x16307da5, 0x768a98f0, 0xb9752c1f, 0xa4565e75, 0xb5b6faab, 0x6625120a, 0xd225fb13, 0xe6d7b12c,
+    0x932d5230, 0x0fb3238f, 0x57cda76b, 0x2bb5d549, 0x8127e47e, 0x31f3c012, 0x9a4ac8a6, 0x408f2668,
+    0x3678b3bf, 0x0f832a80, 0xef84fcf0, 0x64b7051c, 0xe85a93f0, 0x20d56a66, 0x33b1ce4a, 0xbbf6fa82,
+    0xefd03c16, 0x40ec03fa, 0x067f616b, 0x777db108, 0xd2e68f52, 0xbc0b4d0a, 0x04b263b2, 0x65a1057b,
+    0x1de61fc5, 0x05ae2c41, 0xbb0f8c21, 0x782f0ee4, 0x28d95b6d, 0xb246bd4b, 0x7acc5998, 0xd4716922,
+    0xde626229, 0x7e22ba73, 0x37c0aeb0, 0x3727f60f, 0x9a76fbf7, 0x12b3e145, 0x71cbff03, 0x1f020169,
+    0x9ad31284, 0x3a7bef1d, 0xdfee514d, 0x3b373680, 0xa1d6df0f, 0x72fd1d9c, 0x7b3c825b, 0x91cb612c,
+    0x8ed66c60, 0x6cb1acc9, 0x791f8dda, 0xfbcc7e70, 0xe90d51e9, 0xed495fbe, 0xa734ff2a, 0x27495df6,
+    0x483cdd13, 0xe2ca42f4, 0xce332a03, 0x7b98cdce, 0x27fae6a4, 0x2df4be3a, 0x61921607, 0xd3d67680,
+    0x26468bf5, 0x199f2d09, 0x79218af2, 0xce3f138f, 0xc3e12a66, 0x875f7eb0, 0x09a6b710, 0x46b4efae,
+    0x3aae8ebe, 0x751b79e4, 0xa2c3a9d1, 0xbfa182da, 0xa00f2b93, 0xcc496d61, 0x0e0c1559, 0xb2c4e113,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000730750818665451459101842416358141509827966271488 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b3, 0x2693aa00,
+    0x00000000,
+    0xdc293215, 0xe663ff0d, 0x66abf8f8, 0x7e581756, 0x8a2939be, 0x046e4ce2, 0xd21eec6c, 0x2d5383f0,
+    0x766c5959, 0xbc07c68a, 0x5265953b, 0x04d5cc16, 0xd63c135c, 0x142498fe, 0xf541c32e, 0x897ccebc,
+    0xb3ff40df, 0x58d99b8f, 0x506dd18b, 0xc09b4bf0, 0xb905dc6f, 0x4efcf2a6, 0x3d558f4a, 0xdb9388da,
+    0x3127320b, 0xd33c0002, 0xec9c128b, 0x596d0359, 0xcbcf4cb8, 0x91bd0817, 0x796c72b4, 0x6323440d,
+    0xbcfa6d37, 0x3a327b54, 0x37b172bd, 0x1954746b, 0xb824d9df, 0x3a39eb5d, 0xbb3e7884, 0x8eee4831,
+    0x4a7cdb80, 0xe101455a, 0xaf040f72, 0x8b18d46e, 0x00f5b1fc, 0xa922f61b, 0x11b7b0e3, 0xd9116801,
+    0x755f7dc2, 0xdf1b3507, 0x40460a52, 0xa86c9838, 0x0a394b1e, 0x5032eee0, 0xc81dc523, 0xa6008936,
+    0x39d57372, 0xaf951cf0, 0x7de07d34, 0x1b90abc4, 0x658d7195, 0x1322763c, 0xf51dccdc, 0xd6ddd4c2,
+    0x6a664f31, 0x51e4886e, 0x4b1a7ef5, 0xe48b09df, 0x0df323a1, 0x38e8d2a0, 0x1d257806, 0x04fd52a8,
+    0xf3fe53a9, 0x246d52b6, 0xc45f4e12, 0xec2a83ca, 0xf926ddf0, 0x70e385e4, 0xf99e4872, 0x34eaae0a,
+    0x8dab0c12, 0x94c901c1, 0x76d82666, 0x0a2f04df, 0xc59df2bd, 0xe71b21bb, 0x0164da95, 0x7f899b46,
+    0x73206020, 0x441d94a3, 0xc92672eb, 0x112a12b0, 0xf5b7e4da, 0x89b73f5e, 0xfdcf8f17, 0x0d7fa042,
+    0x9e42d125, 0xdd1c954d, 0xc8aaccdc, 0xbc93aecd, 0x119c470b, 0xc9a331f3, 0x9b0d1a08, 0xa1bf1104,
+    0x62a73563, 0xb7181886, 0xe264001a, 0xf25a6664, 0x4b5d128f, 0x2f64ebe8, 0xadf469ab, 0x6c263bdf,
+    0xa1356069, 0xf53005c9, 0x6b046287, 0xf22aa3df, 0xd3ca0f0f, 0x6a09df52, 0x4910f8ef, 0x0531c1f3,
+    0xf7cb1d54, 0xe3abb005, 0x9fb5ba77, 0xec8d5a02, 0x2a86e34c, 0xfc132387, 0x37be71bf, 0xa8ca51fa,
+    0x397db7c4, 0x8ef8e21a, 0x3d67a221, 0x832f2379, 0x6694868a, 0xfd89df5b, 0x065c36b8, 0x00f97314,
+    0xd41b9690, 0x93133586, 0x9eaf05ed, 0x2b104712, 0x05dc6a4e, 0x2b95a6d1, 0xd5a7564a, 0xc474addc,
+    0x50889228, 0x2b34555f, 0x8edc0a6c, 0x15ccdb52, 0xee97076f, 0x70067d40, 0x85aba02e, 0x185f5baf,
+    0xd04bb784, 0x51722cc9, 0xa72d862d, 0x33bdf847, 0x5007d8e7, 0x6a2c69cb, 0x8973b29f, 0x05bf09ce,
+    0xf068d73d, 0x0a092c59, 0x7b63fed9, 0xcb96af25, 0x1c2546a1, 0x8f84aa66, 0x35a9e334, 0xee48b821,
+    0xe031b476, 0x1f1e7eef, 0x9f7b4a02, 0x3ec90797, 0xabd76dbb, 0x131f1a5d, 0x6695074f, 0xad4b5f78,
+    0xad91c382, 0x6cddb7ca, 0x181b2d4a, 0x96812a53, 0xe82a7c93, 0x7244cc14, 0x883bb9a2, 0x01c89400,
+    0xd557d7fe, 0x5a4e3318, 0x992614d8, 0x28992c06, 0x702d9036, 0x39dfa99b, 0x20331847, 0x2190c03e,
+    0x8cce9ff1, 0xb9b809f1, 0xf6a290f2, 0xb3b89fc6, 0x2b328739, 0xb036ede3, 0x3280934e, 0x4cb11d0e,
+    0x90c1f5ca, 0x0b980a68, 0x2a837ce7, 0x496ca87a, 0x61281cec, 0x1aa11ad5, 0x262b8332, 0x2a2ee346,
+    0x6eed7783, 0x212d7cd3, 0xf8483045, 0x2fee00d5, 0x54671fcd, 0x5028aa49, 0x3c890b5f, 0x2183cf88,
+    0xfe20e518, 0xe0888852, 0x5d2415af, 0xae760ce3, 0xd858cbe0, 0xc89745b3, 0x55512b2f, 0xaa8b8776,
+    0xa06b3e7e, 0x279c7d44, 0x0131e1ae, 0x01017cb3, 0xd1f5589b, 0xb3e68c31, 0xa246ca30, 0xd54b1d91,
+    0xe6d5c6d4, 0x2cf8d5b1, 0x192bc6be, 0x70ea32a4, 0xfb7cb055, 0xf23cee34, 0x39df564b, 0xfc9b9668,
+    0x5fcf6664, 0x528399dd, 0xe49cd967, 0xbdc59251, 0xe8880f4f, 0xa9aa54d6, 0xec3ba342, 0x38f259ae,
+    0xf66eed4a, 0x125c5a30, 0x3dde9d2a, 0x4c2e09f6, 0x369484ad, 0xf5fe83b5, 0xf48fa250, 0x779d1db7,
+    0xcbf5006c, 0xe0e5a692, 0xfc60e741, 0x8f918f29, 0xb2114c20, 0xe514edd2, 0xd8f95791, 0x1650d5e8,
+    0xda72e1ba, 0xae951b0e, 0xa72ec5f6, 0x35a93b87, 0xb82897fc, 0x3002c1d2, 0x1c42b3a1, 0x61170997,
+    0x2799eb27, 0xab72b439, 0x86ec652f, 0x24268e3a, 0x5ba6761d, 0x1a3ddd65, 0x54c1c61f, 0xbc49ec69,
+    0x035e3629, 0xd5d289fa, 0x4d91d8a0, 0x0749440a, 0x03d03bdc, 0x359cf8e3, 0x9ddf6cad, 0x722433bf,
+    0xcf38b185, 0x505a2cde, 0xdb203b44, 0xe780dc84, 0xdb41385a, 0x1942de20, 0x4ed6a05c, 0x07d78588,
+    0x777a47aa, 0xa95b2d34, 0x9781f623, 0x04f54922, 0xb3341d33, 0x1b6678f2, 0xf6a180cd, 0x943650ca,
+    0x197ca6c6, 0x1c6d2271, 0xf9849042, 0x277d37fd, 0x1569e1da, 0x52f4b197, 0x298045da, 0x401ab7e7,
+    0x176562a3, 0xbb5ed65b, 0x017e0b25, 0x6d3bafd0, 0x0a9e0064, 0x2cec06c8, 0xfdb9215f, 0xf7b75566,
+    0xa662e217, 0x2aa94f3a, 0x88e92dfd, 0xde4f40d9, 0xfba65c97, 0x911a062e, 0xe60a363e, 0xf1b162e0,
+    0x8909e696, 0xeba7f7e7, 0x98c45593, 0xce6e8787, 0x297f0b0e, 0x08475ee8, 0x013475c7, 0x750a6a5d,
+    0x0407b29e, 0x4a20bf85, 0x5f1f014b, 0xc2731532, 0x91108655, 0x32caf108, 0x37adad51, 0x2672c3d7,
+    0x203cb178, 0x6aced88c, 0xb80dbdd2, 0x47372b0b, 0x66fa53df, 0xf6abda03, 0xdfe69239, 0x6e14344e,
+    0xa4be02c0, 0x34ac23e3, 0x4c205e5d, 0xc46d8780, 0xb1647219, 0xec2c2899, 0xcfad6e58, 0x3a24dda7,
+    0xa1e013a0, 0xcfdc2d86, 0x8d4362cb, 0x10a001dc, 0xbfcd3c51, 0x4e7979b7, 0xa8f3995a, 0x68932f97,
+    0xd6ed1310, 0x49e4ccaf, 0xbc10c0ca, 0x34e06d0b, 0x26daa7e7, 0xb0ef254a, 0x2f6abf75, 0x5def8287,
+    0x5fa7ca9d, 0x2fed8f96, 0x82085dcf, 0x32185841, 0x2f4cdb2c, 0xebe8ac8e, 0x4b87a92a, 0x0cd5bc70,
+    0xbbba31ab, 0xf6aac9a8, 0xc21e36e3, 0x0638473a, 0x30e9907e, 0x02e0880e, 0x513fa6bd, 0xc1efda94,
+    0xa8152f23, 0x63ea870a, 0x3fa8edd9, 0xfb3751cf, 0x03dbf1c4, 0x4f4ee4bd, 0xdaf6ac1f, 0x49e57aa9,
+    0xff0fdbf5, 0xe8f7f21b, 0x02edc14d, 0xfc946a08, 0xafba6c7e, 0x3cc48139, 0x1be87adb, 0x254fc47a,
+    0x313d5aad, 0x410e82bc, 0x12566241, 0x1f347c70, 0xb534e058, 0x1ba8101f, 0x3114269e, 0x53b43a5a,
+    0x91491544, 0xdee68844, 0xb4282b4f, 0x2389820e, 0xbac7170d, 0x84cfea36, 0x99d20d8a, 0xae04456b,
+    0xa059461e, 0x923a7839, 0xcd4b2725, 0x3b11fb6e, 0x3d677e37, 0xf896ea49, 0x1d90ac6f, 0x274e1111,
+    0x52052a68, 0xaedc2e88, 0x14ca55d9, 0x28a84ce0, 0x4b3a9e82, 0x6da9d030, 0x4ab35ca1, 0x8b0ae259,
+    0x0b21a9c7, 0x9dc73dfe, 0x71c0b067, 0xc48cf6e7, 0x07d1547e, 0x7dd1ac0c, 0x21a59961, 0xe61c7c5a,
+    0x8d98dbb4, 0xd9064bf9, 0x903328ec, 0x8e430d0d, 0x3b79044b, 0x92fa4196, 0x663cc17b, 0x50795869,
+    0xac0fd6b2, 0xfbe6f50f, 0x9d04c582, 0x44331139, 0x71fc2ddb, 0x97387a64, 0x92b44f14, 0xbcf47921,
+    0x9148d756, 0x238fb0ee, 0x18058283, 0xb91cb171, 0x05e2fc03, 0x1b0f1f25, 0x7a74830a, 0x4e42acd4,
+    0x561b6ac9, 0x3a7d7cc9, 0x0e748aee, 0xab8c0abb, 0xe5d2de86, 0x1b8ebb9e, 0xae63d3ac, 0xe57e4ab7,
+    0xe42b652b, 0x33aa8dc9, 0x03620375, 0xbf2c87c9, 0xf4aff988, 0x354eb18f, 0x591a5b12, 0x22c577c4,
+    0x79c76820, 0x2bc32836, 0xab708ffd, 0x9b123079, 0x549907f8, 0xafb27f51, 0xfdcd494b, 0xba0992f6,
+    0x22db6c0b, 0xfa81bb0d, 0x3eeb8fba, 0x0dcc99ec, 0x0242693b, 0xe091fe39, 0x5f6b1ce2, 0x8f403ee6,
+    0xd2c22737, 0xccca3450, 0x4339163c, 0x1b082af2, 0x7dd2c78d, 0x48fac7c9, 0x9461a851, 0x59ac1eb8,
+    0xb531a80b, 0x30e547d9, 0x234a24f8, 0xe114df2d, 0x1065e7fb, 0xf63d19f5, 0xdba24afc, 0x7814bcc6,
+    0x8765472d, 0xddd1cf68, 0xbb91452e, 0xdf8861eb, 0xcd34a087, 0x4c287dd1, 0xdeeb879e, 0xaae9f488,
+    0x0fb014d9, 0xfccb17f4, 0x0a1634c1, 0x585aa40e, 0xd80ec0ab, 0xc167b4b2, 0x408d805c, 0x64c4601d,
+    0xeba77d38, 0xf236365d, 0x61082473, 0xe045b6a5, 0x5812f60e, 0x5ba6c183, 0xecbed68e, 0xcb26dac5,
+    0xf914262f, 0x59ec5258, 0x9b6d89fc, 0xa8a69c18, 0xab0de70f, 0x3db08fb4, 0x249f56b8, 0x655a7e80,
+    0x1c6a5e96, 0xb99d64d9, 0x0b1d39a2, 0x7402b35d, 0xf998908d, 0x92260ce8, 0x156d44f1, 0xd809f131,
+    0x949f2d54, 0x6002e4a2, 0x3652b05b, 0x211ac54f, 0xea7742bd, 0x7df62423, 0xe6847069, 0xc6fba097,
+    0xd7ae82d3, 0x765e95d8, 0x1998b751, 0x1b1af011, 0xda7a3aee, 0xcf24d8a8, 0xeb906b40, 0x25851114,
+    0xe45a08a9, 0x0cf42941, 0x5d5f78e5, 0x3b98de5c, 0x05045043, 0x195e0478, 0x8329b0d1, 0x71d3f82c,
+    0x63f1834c, 0x01c4d258, 0x3507e763, 0x1935f4cc, 0xf6e1d5fb, 0x9dde6fdf, 0x5fa5d227, 0x9d608d86,
+    0xfef93596, 0x338ba100, 0x19d111f5, 0x74997f33, 0x94bafb3b, 0x188b438d, 0xe7a734fe, 0xcb944aac,
+    0x92388862, 0x97d0b2a2, 0x33eb466f, 0x598cd235, 0x5048da5d, 0x3e2f06cb, 0x8e436a03, 0x708730e9,
+    0x9090b574, 0xf642bbfc, 0xbbc88e52, 0xe11adde0, 0x7c8c823f, 0x7969ac47, 0xcf1137fb, 0xf8ca3405,
+    0x4abf03be, 0x91c52f8b, 0x83fdd9f2, 0x2882f788, 0xac45ffd5, 0x4690ff86, 0xa38a95ba, 0x7ad74dae,
+    0x6fb50ccc, 0xefda8833, 0x95406a24, 0x468c30d7, 0x14d4f8cd, 0xecdfc95b, 0xa95fdfc5, 0x92a78339,
+    0x556879b7, 0xbf2ab5db, 0xda36d9d7, 0xf52e3021, 0x45aac297, 0xdc580d54, 0x14074e07, 0x4786f228,
+    0xfdd57141, 0x1dd79575, 0x8c742f3f, 0x48b0bb4b, 0xb4f29808, 0x07faef18, 0x892c565d, 0x4a811bcb,
+    0x58dce578, 0x49b9f07c, 0xd91528ed, 0x7c4a0be8, 0xbe7ec062, 0xa4c9d36e, 0x490c03ce, 0x573a46b4,
+    0x30375d73, 0x85e84cf5, 0x66ff67ff, 0x4585d606, 0xc424c0eb, 0x9b6942a5, 0x6872812e, 0x36aa151b,
+    0x30947a98, 0x3fb2b5e5, 0xfb99ae2d, 0xd3eb8b46, 0xc53a08c5, 0x6e3a5bc4, 0xa720c792, 0x4c382eea,
+    0x72ee0c46, 0x3b3d4c2a, 0x95127c8e, 0x4d7d0c86, 0x497f7c3b, 0x8acc5aa3, 0x31027124, 0x055e8e9a,
+    0xff054b15, 0xa9db0978, 0x580ee0f9, 0xa6402f6f, 0x4241f3f5, 0xb9f23ecc, 0x4f74ce4b, 0xf34d6f55,
+    0x36338923, 0x9f8ddec7, 0x9f49b349, 0xe3708364, 0xa5693c17, 0x19273b51, 0x95f887ae, 0xa00504cb,
+    0x968caf98, 0xfeaace0e, 0x8b1b269f, 0x504da36b, 0x98760bc5, 0x812882b2, 0x17caf136, 0xbde3149d,
+    0x067d8c7d, 0x63497269, 0x54c46f4c, 0xe72332a8, 0xd0a448cd, 0x8db3e189, 0x06f3feb6, 0xe7ec7265,
+    0xe6aa5f5e, 0x7c5f6eaa, 0x4c9eb590, 0x166ee977, 0x9fd2b1b3, 0xaa4e5542, 0x30e1d829, 0xbb8d652b,
+    0xa5f9705f, 0x9f4c617e, 0x7bf8dd67, 0xe30f25a3, 0xdfa12fb2, 0xec937535, 0xe9751b49, 0x56a65f91,
+    0x9b8b1fba, 0xc6dee8fc, 0x0b66e662, 0xda9914f7, 0xf091d557, 0xc95f7b9e, 0xa18bb346, 0xf0040eb8,
+    0x80d6c031, 0xdc4f1db2, 0xf3904025, 0x6d060cbf, 0x30b812df, 0xa0bd8d26, 0xcc3466e1, 0x33934892,
+    0xdeee9764, 0x4bb6ce92, 0x277e5c60, 0x5e138e6e, 0x348958c2, 0xcaf09693, 0x91767179, 0x886dff64,
+    0xd1c8ff5f, 0x67da1b5f, 0x62a344f8, 0x62cc2298, 0x4cba6e61, 0xebab8561, 0x943cd695, 0x37bde6e8,
+    0x35104cd9, 0xdaec6e06, 0x548bc2e9, 0x3a82a374, 0x84aca714, 0x1f2e570d, 0x6ed94cf4, 0x1efa548e,
+    0xf1ff3fc9, 0x577756bb, 0x99c4cd2f, 0x832af0fd, 0xea57dea8, 0x013b684a, 0x96563e1c, 0xda8ed124,
+    0x674ed032, 0x4cd64bd4, 0x1d12312c, 0xdc738e1e, 0x43bc6e45, 0xf6331102, 0x8b17f746, 0x47d04f27,
+    0x8aef1210, 0xe34a1347, 0x2a9d4bee, 0x72ba7d83, 0x819ca004, 0x83efd41d, 0x8e701aa3, 0xe6fc6b9c,
+    0xade8691e, 0xe3a1a8b8, 0x4d999529, 0x42dfcaff, 0x2dbe72ee, 0x7fbd547e, 0xe8141aaf, 0x62e2816a,
+    0xca441ae9, 0xb1348548, 0xa12885fe, 0x18b478b9, 0xa1a4cb28, 0xd671c21d, 0x415537ea, 0xefdcde3e,
+    0xa9d39061, 0xc32d191d, 0x7dc24a28, 0x862589ee, 0x11f7a7bc, 0x5c71bdda, 0xc94c409b, 0x418dbd40,
+    0x23d0d690, 0xfb759c59, 0xe8e146ea, 0x978cca51, 0x0b0c0644, 0x29e51e7b, 0x2c771ca1, 0xa74c54de,
+    0xb04a4240, 0x96dc63a3, 0x2b9ac8bb, 0x1f30ee78, 0x3063c6f4, 0x2e8dce7a, 0x0e996ae2, 0x0f81fde1,
+    0xdc7564f6, 0x6fffb987, 0x15f7e35d, 0xfeafd1a8, 0xcb05b666, 0xabe50964, 0x25d444ac, 0xc2def719,
+    0xb2a67de2, 0xcc01c3ee, 0xbf710f12, 0x5aa357d6, 0x95e5d4c0, 0x666af5c3, 0xd2f7536c, 0x98dbb7b5,
+    0x18a73860, 0x37c22c74, 0xfe32bcdf, 0x4a1b999d, 0xed0a39e2, 0x79b2ef7a, 0xef35da3b, 0x39b46938,
+    0x662c53a9, 0x2e27ac95, 0x5947d1e0, 0x796744cb, 0xfb3b6525, 0xe3307de6, 0x01ef1849, 0x92cb9787,
+    0x67357d37, 0x218477fb, 0x3055024b, 0xb0449ccb, 0x0b4d42fc, 0x72c77328, 0x2040f039, 0x638e2602,
+    0xde052fc5, 0x2891396b, 0xf1297527, 0x56867aaf, 0xff748e6e, 0xb49075c4, 0x6652311b, 0xf71c2b0b,
+    0x77d57d52, 0xf8cfd1c6, 0x0149e822, 0x3851838f, 0x91963118, 0xca35929b, 0x0fc11fa8, 0xb1a1ef95,
+    0xeb9b2c93, 0x03faec3b, 0x910526fd, 0x76eb446e, 0xa80fa8c4, 0x749064ff, 0xf64ff2a5, 0x365067c7,
+    0x1d4ea24b, 0x7f42cdab, 0x44b03341, 0x21ad99d2, 0x60476bbb, 0xd49df4eb, 0x4b7b9cd7, 0x9817d7d2,
+    0xbb866522, 0xa3540852, 0x41f5ef25, 0x398c3c4d, 0x04b020cc, 0x05bed9e4, 0x2ca95dee, 0x9efec717,
+    0x8ddb6b93, 0xd3757384, 0xa02fc693, 0xeae6cb33, 0xb5173ac6, 0xe611597e, 0xa61add59, 0x975f5b74,
+    0x760b6f4b, 0x8680eb35, 0xc20ebd80, 0xe9ef7025, 0xc4c452ca, 0x94586043, 0x9cd4cdfb, 0xdf8e85ad,
+    0xe9d65040, 0xdc0072d1, 0xbfd4f0b0, 0x26d2e199, 0x76f3bb83, 0x25623c0f, 0xcc31bb29, 0xe81646bf,
+    0xb939017f, 0x6cfd3b6c, 0xcc035910, 0xde107703, 0x99813904, 0x49803500, 0xf660776e, 0x1d18e7c4,
+    0x89aeded4, 0x71ebe60e, 0x89b56f03, 0x95fc1964, 0x5b3239dc, 0x5f29b25f, 0xd713f4de, 0x1959ec64,
+    0xaadea765, 0x00abc0b8, 0xae1e1512, 0x1a39daaa, 0xca599b2c, 0xc5fde1ac, 0xbc2dbdff, 0x0c270204,
+    0x8d57962c, 0x1c97b4a2, 0x24df3d8e, 0xc09da437, 0x43319966, 0x14a5065e, 0xdf114d9a, 0xcae77283,
+    0x687ce6f4, 0xd0e8dc27, 0x95786d9d, 0x49a660f2, 0x3916adfd, 0x82eb117b, 0x092ae6ca, 0xf7aed6d5,
+    0x61765d81, 0x2cc1a8d6, 0x46e78bfe, 0x924dcd70, 0x79c1d850, 0x0f71fa98, 0x75a96654, 0x93948046,
+    0x618884a0, 0xf969749b, 0x64fc405e, 0x6a5c865d, 0x74e3de1b, 0x00ea7c23, 0x778bfdad, 0xe3c8e230,
+    0xb34a73f6, 0xda46538e, 0x00403ffa, 0x7fed0f14, 0x62b5adfa, 0xf14e5673, 0x70dbcd1e, 0xd4d6e011,
+    0x334cd299, 0x0c7bd6af, 0xd6d51a24, 0x9d0ea0f8, 0x889318fd, 0x661ebce8, 0x503f6e4a, 0xde4d3b08,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000365375409332725729550921208179070754913983135744 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281259, 0x9349d4ff,
+    0x00000000,
+    0xed67b695, 0xdb0c0d0e, 0x9af2e04c, 0xbbd8205a, 0xdd4b52cf, 0xae06d396, 0x701cfbf8, 0x4d37451e,
+    0x4a85bb91, 0xd5ed5e7a, 0x2e36d044, 0xe9e14fb9, 0x22beae27, 0x440631c1, 0x9636a1a4, 0x0d264cf1,
+    0x90d539af, 0x3f622a42, 0x915cf5ef, 0xe05ca49f, 0xbe484d76, 0x35fe1941, 0xa5ecb7f3, 0xe665d3f1,
+    0x0dd06ad9, 0x961bbe05, 0x0039c855, 0xf245c694, 0x647c4d0d, 0x0a098138, 0x7a4b23ca, 0x3876a682,
+    0x65a89260, 0x41deb853, 0x9eb13d5c, 0xb548f9b0, 0x99fba9be, 0x8afbbaad, 0x789c3e9f, 0x025b2a4f,
+    0x162a995f, 0x6a715467, 0x8e24f051, 0x10adadb4, 0x68f27248, 0xb87a81cf, 0xe5fb66cc, 0x4501248b,
+    0xf0bd8580, 0x6adaa108, 0x4d0c9445, 0x79f174cc, 0x45a7527d, 0x57e11031, 0x8ba04ed4, 0x379d7190,
+    0x9a434602, 0x86e53805, 0x8f20c42f, 0x11556474, 0xb55186a5, 0x00216261, 0x263327f9, 0x122c1359,
+    0x66db5858, 0xc0ce7037, 0x4d079537, 0x3bc96016, 0x107adddb, 0x3dcfd1e2, 0x32fc1db8, 0xa84c3a3a,
+    0x196c2f8d, 0x6d7450ad, 0x73f72b16, 0xbca00bc9, 0xbcb1438c, 0xdc65c1a8, 0x0a419012, 0x2dc6a100,
+    0xb6af42b9, 0x87ef5a76, 0xfdfc8481, 0x8790e85a, 0xf7674231, 0x88286e46, 0xa365e405, 0x47fda24c,
+    0x7e29cbd7, 0x852526bb, 0x825ce5f5, 0x80efe54c, 0xf1cd9a63, 0x996c5bfb, 0x89431f11, 0xd2e57bbb,
+    0x1fc0f444, 0x96b08e9a, 0xf6a1ea31, 0x32d71e88, 0x453fb900, 0xc8e7e750, 0x0a87ea9e, 0x8ae1cc9a,
+    0xb666b5d2, 0x39b75d30, 0x0dba2027, 0xb9f5c6ad, 0xe56accaa, 0xfceff852, 0xe7628d9c, 0x5137bfd6,
+    0xc5593cf9, 0x1af04ea7, 0xab588bc6, 0xf9223b9b, 0x484da91e, 0x8157e82f, 0xe32247df, 0x9ec11056,
+    0xfffbc5d3, 0x56cbac82, 0xc0626c78, 0x3050cc95, 0xf98979de, 0xaf0bfafa, 0x22113000, 0x6d38fb7d,
+    0xf6d4bc1c, 0x1a49fab6, 0xa4418248, 0xfc0cd9ea, 0x7f09277d, 0x76be2978, 0x2565fd2e, 0xb23d2aca,
+    0x191c83c3, 0xe35ddeb5, 0xff6143d0, 0x435e34a0, 0x2b7296be, 0x40a1ad69, 0xda663ed1, 0x4c47bcd9,
+    0x1adff1e5, 0x619aff67, 0x592806bf, 0xbd9719d5, 0xbb7d7575, 0x8db594ca, 0xfcd5d227, 0xc595ddf2,
+    0xefd7f6d0, 0x70c47873, 0x1b1de418, 0xbd70008d, 0x72600192, 0xc51575b0, 0x2cebc9b7, 0x8f679e3a,
+    0x0a7e4558, 0x60f0ec51, 0x13b5de7e, 0x33fe94c6, 0x4e8c280c, 0x4623482c, 0x637f603f, 0x2dfd636f,
+    0xf6ab4cd5, 0xfe039894, 0xaf847a24, 0x7bfb76cf, 0x6ed592ef, 0xef33e829, 0x9183c4cc, 0x7a67003d,
+    0x3ab97e15, 0x7bcb572b, 0x60804250, 0x45871f1c, 0xf5b8ea39, 0x39631331, 0xc9b558cd, 0xc1ed5b09,
+    0x22fe0bf5, 0xb2bb827b, 0x101389ae, 0x0b1b4855, 0x011b84c0, 0x6c1537a2, 0xe7b18b06, 0xf03225b2,
+    0x64dcb089, 0xe44b9ba4, 0x9666de6f, 0x2934fed0, 0xc65b45e5, 0x66ce6a30, 0x65e25d17, 0x1c7bf9a5,
+    0x1d088e4e, 0xc2d83571, 0x21300935, 0xdb387858, 0x09c4441a, 0x5689bc7d, 0x78129119, 0xd3e69dfd,
+    0xd9ec1001, 0x90f99079, 0xbf1a83b6, 0xbe12fc1f, 0x6f3d2b92, 0x32874daa, 0x5659c4c2, 0xeea541a2,
+    0xf67cc0eb, 0xa68258ab, 0x32f69172, 0xd708be1d, 0x8e42e6c2, 0x893184e5, 0x2616d827, 0x8157b7f8,
+    0xfc7cd094, 0x5e293be0, 0x015a7717, 0x25a61dbc, 0x6638b14c, 0x6d693860, 0x538b3c8d, 0xd1bf7339,
+    0x75a62fd8, 0x95351c5c, 0x89aa4fd9, 0x141827e6, 0xc1cfd3eb, 0xc605fffb, 0xc66bfcd2, 0x23e1cb62,
+    0x8fcbf9a8, 0x36df78d1, 0x873ba986, 0xb301e317, 0xbc4c4324, 0x678a5ab4, 0x991d604f, 0xae3cf002,
+    0x1cdf2763, 0x734339f2, 0xc0f8ad48, 0x10fcaff8, 0x384634f7, 0x6a021d86, 0xa9abde1b, 0x55f12c44,
+    0xe3aaa4cb, 0x1c247bf7, 0xa16c1237, 0x8049eacb, 0x652ccdd9, 0x7bed4472, 0xfdd08b19, 0x442c989d,
+    0x9686881c, 0x9eaba562, 0xd5acafb6, 0x4ca6b142, 0xe3617339, 0x6bb3664f, 0x6e409492, 0x81ce91e4,
+    0x0cd45036, 0xa98560e5, 0x10bcb0fc, 0xd13c085e, 0x55c25624, 0xcea34adb, 0x19e12f62, 0x12a9dfd8,
+    0x5256e778, 0xd62f8a87, 0x8fa7c9c3, 0x5c966d02, 0xacf4f05a, 0x673aa324, 0xe425a025, 0x416db02b,
+    0x978569a2, 0xf65c8a3b, 0x847c5866, 0xfb498c18, 0xeb938de1, 0xb39d4f51, 0x1b183b95, 0x25b7f726,
+    0xa992ca77, 0x5534364d, 0x3cd8f26b, 0xd9568eaa, 0x2cf22f82, 0x05fd1373, 0x17857811, 0xd18534a8,
+    0x2a70b811, 0xfadb0cfd, 0x91562334, 0xe373e882, 0x80f05c4c, 0x7f76348e, 0x278c326f, 0x6d240de2,
+    0x0f8c4a3f, 0x8855f01a, 0x71074a4b, 0xf6cd2828, 0xdb718220, 0x8ef737cf, 0x92132a86, 0xe245abfe,
+    0xe0a42f10, 0x13b091ab, 0xa1ccf58a, 0x66ee618d, 0xedc562c2, 0x0dec5d6d, 0xb0654809, 0x2915ea00,
+    0xaca628ce, 0xe90f9ecd, 0x68f0c68a, 0x48209985, 0xe00d249e, 0xd5f341f6, 0xfc5541cb, 0x4008d095,
+    0x27df1bb4, 0x1684d639, 0xcefadc6c, 0xd587ac7d, 0x784bbd55, 0x5613c8a1, 0x5d138940, 0x21140df1,
+    0x34e865df, 0x1aa6dbb1, 0x1e6040cd, 0xb23f20b4, 0x12b2c824, 0xf2198e57, 0xc1b18c83, 0x96210a5e,
+    0xc5a17486, 0x9aa42273, 0x6cb953f1, 0xda7a3b4b, 0x408aaf97, 0xfd9ee3c3, 0xe3cbbdd2, 0x5f65a78a,
+    0x07474b0d, 0xd373f696, 0x918d7a2a, 0x41b7b67f, 0x805bc571, 0xe13f3943, 0x634232b1, 0xdb7fcac7,
+    0x2c297867, 0x931c1a8f, 0xeef99420, 0x2b951747, 0xb0092ca1, 0x93973324, 0xa9b0d59f, 0x954d1c25,
+    0x2a21d4ff, 0xf8e43756, 0x61dad411, 0xdeecd15b, 0xce453976, 0x27e004ce, 0x82bb64d7, 0x35b01557,
+    0x5aef216b, 0x5577f119, 0xde6d3111, 0x242cd420, 0x698187d2, 0x31c7cf49, 0x90688887, 0xfda94a6b,
+    0x867b21fa, 0x40be2365, 0x8718999b, 0x5fbcea14, 0x22c6defe, 0x390cf776, 0x2390b41e, 0xed0b21ce,
+    0x20586235, 0x348691f9, 0xf5ccc096, 0x2a48ff67, 0x3e01cbf7, 0xc029b45b, 0xfed31803, 0x9a0c6b3d,
+    0x2c9ece46, 0x070e9865, 0x293383b1, 0x48acd1c5, 0x7d936a7c, 0xd503c98d, 0xcdf56306, 0xad63fffc,
+    0x304e1f14, 0x2a7558e3, 0xbe49a117, 0x23e1b9b3, 0xfeb18009, 0x0a8e382b, 0xa10d7dd0, 0xa6239823,
+    0x525ae2f9, 0x43eb34d7, 0x84937f0f, 0x20c8d76e, 0x8b4b1674, 0x09ee0735, 0xdec07ae7, 0xcc3b5792,
+    0x1f7f5c23, 0x6be49a8c, 0xc6167691, 0xbdeb05fd, 0xaae81864, 0x9cd355f7, 0x731ae352, 0xf3384565,
+    0xf1ac3840, 0xd0b3d5d3, 0xfe93fe90, 0x52880de5, 0x51f81142, 0xef358fc4, 0xb8f7a12c, 0xdf7c420a,
+    0xb424ef69, 0x76b1ef36, 0xc3094f2f, 0x81034c33, 0xff07ea01, 0x9e6f1828, 0x6e1304c0, 0xf0da2f9a,
+    0x11fb5c3e, 0x60316488, 0xaf472b8a, 0xc0b05e64, 0x79a0e248, 0xd9ba3411, 0xfffadde7, 0x96420a89,
+    0x661dac08, 0x1e6e0760, 0x79d21586, 0x8a088ad0, 0x8d2ec544, 0xc6672a6f, 0xbac1d5ec, 0x3a2e0509,
+    0x1a6c0f3c, 0xd6c286e7, 0xa4a25977, 0x470e0b3a, 0x44b74790, 0xe6656004, 0x6c5f6359, 0x3d100158,
+    0xebe5e645, 0x470d7651, 0x16a1e271, 0x976dec33, 0x511785e2, 0x8e3a4f29, 0x7566920e, 0x30785f22,
+    0x4875ac7b, 0x58994b81, 0x4744d151, 0xfe62996e, 0xb5ed161d, 0xc2f4f15c, 0x204b98bc, 0xff4048e7,
+    0x3a1fe079, 0x88728833, 0xb69e72e2, 0xc31b8899, 0xf8dc6440, 0xea9536b8, 0xfdecf630, 0x75b45ae6,
+    0x44ab5673, 0x5094e002, 0x0dbbb786, 0xc4c4e7f8, 0x4c91d7ef, 0x3e5f2694, 0x409dcb1c, 0x9f7cd953,
+    0x59117493, 0xdac7f211, 0xbee0f8b4, 0x77591336, 0x494d55ea, 0x7e65ac61, 0xb5f92614, 0xd6471216,
+    0x9655e016, 0xb9337326, 0xb0f0dc36, 0x839e508d, 0x0371627d, 0xd9228c5a, 0x8070ac24, 0xa9e9c9be,
+    0xa8740ed7, 0x499164d8, 0xde5b8b7e, 0x66198e5e, 0xea8b5ca9, 0x2aa10537, 0x38ba0a32, 0x13a224ce,
+    0xf8485e7d, 0x2152034e, 0x37f0392b, 0x6883f73e, 0xa8583174, 0x11069b6e, 0xdde68d47, 0x9f0f2bf1,
+    0x486ade9a, 0x3e498053, 0xa2f28df0, 0x70dd015a, 0xd0c8292a, 0x80fca6f5, 0x8836259a, 0x1043a03a,
+    0x268935d7, 0x38c408d0, 0xe7ad1d79, 0x513eb855, 0x75fd5d69, 0xb5c0780b, 0x30ec1166, 0xf3d53fc5,
+    0xf22b6402, 0x4624a771, 0xcf943692, 0x87c5a8bb, 0xf176a17d, 0xb5945634, 0xce86e1ce, 0x2ffe76eb,
+    0xfe8cb015, 0x47347a23, 0x7871910b, 0xed4700e8, 0x435ebfb5, 0x66014199, 0x93c3a3ae, 0x0a67a351,
+    0xb1e53060, 0x3724088f, 0xe05bb20e, 0x1dc42e15, 0x87e0f2da, 0xb7b8b700, 0xc7626dfa, 0x8eb53b63,
+    0x7c6607f3, 0xa7d89a2d, 0x56f5c6c2, 0xf94130d7, 0xc0c1fd23, 0x00b3b93d, 0xdd42d02b, 0x9184e08c,
+    0x958a324e, 0x90451a6f, 0x6e8ef9fe, 0xfc81940a, 0x64c78721, 0x419b6669, 0xf2c8c5d2, 0x13a1dc31,
+    0x9a7f4156, 0x4a28694f, 0x46702ba7, 0xf9bc5379, 0x26751082, 0xbc06c8a5, 0x0b2858f2, 0x9614aaff,
+    0xf5cf3505, 0x6171a5e9, 0x79843e33, 0x2f606cda, 0xbc0db7a5, 0xd760af00, 0x6b6ebe6c, 0xbea4c712,
+    0x09ca7a7c, 0x574a395b, 0xfccd7a32, 0x64493908, 0x8a3a3cc6, 0xe06425da, 0xf576852f, 0x773acd65,
+    0xd006141f, 0xea990304, 0x9420a79e, 0x5759ffcd, 0x4c64495b, 0xd2d93aac, 0x3defc5f0, 0x9785f8f2,
+    0xe83cc4db, 0x51d8bd92, 0xda5415d7, 0xe564de39, 0x55c966c9, 0xd1b89e47, 0x09e63bc2, 0xf8799e75,
+    0x8f1357a5, 0x0227adc2, 0x792c43b4, 0xa159873e, 0x24a67844, 0xf64bfee6, 0x79294e5f, 0x1fbba9ec,
+    0x8449c774, 0xc50a0e40, 0x05ca1755, 0xdb19f7fd, 0xb534e033, 0x1db30e93, 0x46420d39, 0x4c24cae4,
+    0x1e919d82, 0x5a0bbf81, 0x549e0bd0, 0x83da57e8, 0x48552516, 0x25c30262, 0x3620d3de, 0xb49f7311,
+    0x45459af7, 0x7fbdbe85, 0x2f8a70a4, 0x4f7cadce, 0x14d7e7f9, 0x4b25cf73, 0x66ab32f8, 0x33fb296c,
+    0x303564c8, 0x914c5e02, 0x4913d6c3, 0x0577f75b, 0xe703cff0, 0x1324d14d, 0x2ae70e56, 0x435017de,
+    0x2cee6443, 0xcd94f0c1, 0x5f4ed440, 0xd88fb5bf, 0x12e1879f, 0x628a5169, 0xcd61a730, 0x76136326,
+    0x3514fbae, 0xcffe655d, 0xa5ea74b9, 0x114d50c5, 0x8278d025, 0x79203db9, 0x016ac9fc, 0xb3a989c1,
+    0x9112fcd6, 0x387d98a9, 0x85e37af8, 0xe622e481, 0xf7457a7d, 0xf5cf07f4, 0x57b6de25, 0x5ea6bbfc,
+    0x8bf000e4, 0xe173d261, 0x48e2af2b, 0x685066fb, 0x1876a4bf, 0x6de19e49, 0x2d750478, 0x51897164,
+    0x9d32aedd, 0x601b6016, 0xb4f8a193, 0x6caf87f7, 0x510b1b00, 0x88685e82, 0x588e0b83, 0xaa42056a,
+    0xde8c058e, 0x158d7646, 0x9f8d92d9, 0xa9a3a46d, 0xf78db601, 0x3a8cc6e0, 0x6dc9b8c3, 0x2c125e04,
+    0x1cc8c848, 0x39d67be2, 0xcf055170, 0xb6c1eb0c, 0xb3c7a7aa, 0xc85866f7, 0xcaad59ca, 0x9da07b59,
+    0x06a8eb06, 0xe7c677d5, 0x31bb23ed, 0x538fb4cf, 0xb4aaf5d8, 0x279143f9, 0x7a157764, 0x6fce3430,
+    0xd1bebad6, 0x244d635e, 0x00a9533f, 0x2d8e8b9f, 0x24c2c87a, 0xb6ecc7ba, 0xff6eee2f, 0x98715796,
+    0x8c68ab6a, 0xbe11c2f8, 0xf3d1f3b0, 0xbad68edb, 0xf2546152, 0x2c3be6ad, 0x617e2c6b, 0xdaffdf01,
+    0x52394084, 0xc15b619c, 0x9742887b, 0x1884007f, 0x08623bd4, 0xceba1423, 0x4d42ddce, 0xef623e5c,
+    0xa1b17530, 0x3ba78833, 0x77415be7, 0x57aaa954, 0x7368dd56, 0x81c68084, 0xfb04d59b, 0xe49c907c,
+    0xcc856d4e, 0x958e5471, 0x2ed645d3, 0x2ec2ebed, 0x1e7cef79, 0x319bb645, 0x9bb90623, 0x53393f69,
+    0x6da61c68, 0x82b2fc1c, 0xa126f1ad, 0x7cb22ad6, 0x0a9087ff, 0x116999ca, 0xb88e9c70, 0xc5e8343d,
+    0xc514bd98, 0xda8f2211, 0x36119aee, 0xdcacfe5d, 0x0e930da7, 0x3af55107, 0x1ff3f293, 0x47555063,
+    0x89090129, 0xa214b773, 0x54344efa, 0x3a15d4c2, 0x265ba8f7, 0x2e285f83, 0xdd22b119, 0x09d1a0d2,
+    0xb26bf28a, 0xfee3aa50, 0xa422966c, 0xe1ba43e8, 0x525a9505, 0xf513e796, 0x0e4797b6, 0x123cbde7,
+    0x3ffc199d, 0x0d24e8ba, 0x435548fa, 0x6b100d85, 0xfd32d003, 0x7d1eb437, 0x8031431d, 0x6ac4255d,
+    0x725933f9, 0x43239282, 0x4b7be5d6, 0x5a594c6f, 0xc57230a4, 0x236e5d4c, 0xe17fcb61, 0xd46a4cf4,
+    0x6e2a39c2, 0xbd085c04, 0x287e76f3, 0x46805cbc, 0xdda6f099, 0x3b3f37d8, 0x16b1a81d, 0x06240f4d,
+    0x591bf12d, 0x803a2ab3, 0xc59850b5, 0x89d986d9, 0xea4af6ab, 0x7bf31668, 0xbdab3964, 0xa006e11a,
+    0x9a32516e, 0xa62ddd65, 0x9eb8695d, 0x74d6d62d, 0xbe81557b, 0x0c0ab69d, 0x6aa50a66, 0xf4028a7d,
+    0x1bcd6cab, 0x5a88f134, 0xeade582a, 0x1fc42bbc, 0x90ff3b35, 0x649f5b78, 0x03996cec, 0x6f277ce7,
+    0x5911f1bf, 0xc338a95a, 0x80ba4d97, 0xa0808cc8, 0x1368c9c1, 0x11b599bb, 0xd391b1b6, 0x2c68d12f,
+    0xd49f0659, 0x45c3e117, 0x09c5f2ab, 0xdfc8bdbd, 0x12252c20, 0xdb7628a8, 0xd666b69a, 0xa5bf0449,
+    0xaa6eba08, 0x8e874433, 0xc7759bdd, 0xb0fb01a8, 0x03f9f07f, 0x5e6b329e, 0x5df717a8, 0x02d69694,
+    0x39f66307, 0x66dc0396, 0x93769aff, 0x503dcef6, 0x46c439c1, 0x9fd04489, 0xeaf3398d, 0xe771b3d7,
+    0xd9c36270, 0xe94d913f, 0x01fdd575, 0x977c6b3e, 0xa564ca0a, 0x954f10a9, 0x61f38550, 0x5a9c37f5,
+    0x98fafc82, 0x9abd9767, 0x4cfe1a7a, 0x4b3c2144, 0x7344ff34, 0xd77aa06d, 0x6a6f6431, 0x8d54c8d6,
+    0xdaad6b64, 0x7af57313, 0x706cb83c, 0x657a06d6, 0xef3e2e86, 0x4d2313ef, 0x42725840, 0x324b5b76,
+    0x04ede0f6, 0x16e7d78a, 0xbf0d2824, 0x10299b70, 0x3d5c6d3c, 0x346b6251, 0x95c7bde5, 0x2eec5fa7,
+    0xa16bbcef, 0x182f9802, 0x72933d29, 0x21b2f191, 0xd15948d4, 0x44540ef7, 0x069df16c, 0x332be041,
+    0xb6807f96, 0x7e178b52, 0xb8e0260d, 0x60e9b1d8, 0xd92abd94, 0xf5ceeb05, 0xa034888e, 0x90a44351,
+    0x314dcaf6, 0x435a0ade, 0xe18bf8f5, 0x47395ea0, 0x5f405ea1, 0xc54badcb, 0x376983bb, 0xc2840c4c,
+    0x1a1e0b3d, 0xe5b8687c, 0x15cce865, 0xb3d49dbe, 0x8aeff981, 0x5087cbc2, 0x196ff3ca, 0x3672e630,
+    0xd446822b, 0x48e820aa, 0xd942b456, 0x137c94c4, 0x7375649d, 0x957d1cc1, 0xccce22f3, 0xa2190823,
+    0xcd155e6e, 0x0ff52812, 0x6a5a5f2e, 0x5f317410, 0x5d0558ed, 0x8c4c164d, 0x1a9548d1, 0x74f7d789,
+    0x108b48a9, 0xb619f4d2, 0x24bf9362, 0x36776acf, 0x42b0f167, 0x9972d581, 0x6ce354dd, 0x650ae7ea,
+    0xfea76abe, 0x52cb0532, 0xb3f6f945, 0x9a2c8d92, 0x0be7c9bd, 0x342cce67, 0xdfae33a1, 0xade9d99e,
+    0x4bd97bb0, 0x7607814f, 0xf8c470f3, 0x9614a451, 0x64d206aa, 0x68374f74, 0x7c3361c7, 0x7e76e862,
+    0x3f2dd4f7, 0x99d73b69, 0xbfcf3c63, 0x5a9c38c9, 0x8279ae95, 0xa1852afd, 0xcd0d68e0, 0x779a474c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000182687704666362864775460604089535377456991567872 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092c, 0xc9a4ea7f,
+    0x00000000,
+    0xae52359f, 0x49beda33, 0x59ae8c45, 0xd48c31a4, 0x53d04cc5, 0x13831cc3, 0xfbd2ccfd, 0x451f9be7,
+    0xf7ff23bb, 0x0df361fb, 0xd7b6498e, 0xfda1c1ae, 0x4fec8323, 0x778150e6, 0x00d01a82, 0xa2047688,
+    0x290f81f8, 0xdc864c84, 0x692b79b3, 0xa5f2cd40, 0xd9ca1fe4, 0xf07e63aa, 0x0facdd45, 0xc2d48820,
+    0xf5ab1a61, 0xc747f601, 0x6edfea8d, 0x8c70a5d7, 0x287ec88b, 0x46f8d8d7, 0x60a4ef33, 0x37a95288,
+    0x782969c3, 0xda6ee2a8, 0xe8223fd7, 0x99f663dd, 0x76124cd6, 0x38692ebb, 0x9e12f94d, 0x43aebbc6,
+    0xc94574b9, 0x7947fd08, 0x03f3d8af, 0x46d85838, 0x0918f4ae, 0xb39145da, 0x7584e6d8, 0x7389fb9b,
+    0xb753cfaa, 0xff319486, 0xe263e4e5, 0x5acdb11d, 0x30ec72df, 0x760eaaa4, 0x08566be7, 0x82ea6fe6,
+    0x23f2066f, 0x3930bfef, 0xc1738919, 0x52a9b8d5, 0xf6bf631d, 0xef8e182c, 0x354992d8, 0xdd09ffd6,
+    0x89d709ec, 0xa24e6f82, 0x0cbc69af, 0x75a607d6, 0x1f9e9d02, 0x36abbd3d, 0x28e7684e, 0x0a7085c6,
+    0x61019aff, 0x0026820e, 0xfbef107c, 0xa8c10d21, 0x4017143f, 0x91bf44b1, 0xf0a43e57, 0xdec58c8d,
+    0x4d5535ed, 0x7bab309a, 0xec45de09, 0x5f29d9d9, 0x42c4669c, 0x1345a6a4, 0xf79b260e, 0xbea35eaa,
+    0x1c382cd9, 0x5e5a6b68, 0x34bfad7b, 0x2b2f71cc, 0x67b0fd65, 0x302f1782, 0xdb9b3f95, 0x7e14876b,
+    0xa902d736, 0xa6d6d63f, 0x64e00775, 0x344dd711, 0x03d655e4, 0x24c85f9c, 0xd19c84cf, 0x7dd860d5,
+    0x5ce09f9a, 0xd11c73b5, 0x43385f57, 0x2aa1b388, 0xa762debd, 0xf2a7be44, 0xe8b29024, 0xff1dda81,
+    0xc1cd0dec, 0x5d8e4c0e, 0x6a2ded8f, 0xd71f7d12, 0x7b360c64, 0x405a1856, 0x4839c6a9, 0xeb56585d,
+    0xd2bb570d, 0xa7193fdd, 0x99eaa05a, 0x1563b1bf, 0xc5f8a252, 0x13601942, 0x9bf65fe4, 0x5b4680a4,
+    0x77d985d6, 0xabf14467, 0x4b63facd, 0x55f01dbd, 0x441476a5, 0xf93895d0, 0xabf11453, 0xeeee925c,
+    0xc251af7f, 0xe2a628e8, 0x48f23bff, 0x327272bb, 0x8ae9a7ba, 0xd6bd9983, 0xf52b0309, 0x4bdd902d,
+    0xf88e5bba, 0xe86ef3a5, 0x51308842, 0xe1574219, 0xc57c3bcc, 0x02c84433, 0xa9a6a22a, 0x41f9aa67,
+    0x3512ff9e, 0xa02da13f, 0x4a78868f, 0x7a3129b3, 0x07eee06d, 0x4da767f6, 0xf7dcdd2b, 0x1fe7f367,
+    0x2822e7d1, 0x82eee3dc, 0x31cd76f2, 0xac5d4ed6, 0xdde32a31, 0xde166e18, 0xbd5afc7e, 0x2efa17bd,
+    0x21a2aee4, 0x4ade6dda, 0xb9b7935b, 0xbdbb999d, 0x0a63e5d5, 0xf5ac8876, 0xaf11a8f3, 0x65e9e8c7,
+    0x4fe8dd94, 0x026edb1c, 0x8b78d240, 0xb8835802, 0x0463f116, 0x7458b848, 0x4818dceb, 0x29eabd00,
+    0xfe7e4709, 0x9b16aeac, 0xc3ca873e, 0xddfe06a4, 0x9383ec1f, 0xad3dea9d, 0x8a83e086, 0xb91befa0,
+    0xc91326fa, 0xb228902c, 0x90800c92, 0x581e1c69, 0x4cd0159b, 0x9e0f729c, 0x5e670e55, 0xf1de2982,
+    0xe3f1b0ac, 0xaed5476a, 0xd6919d91, 0x73738962, 0x7231db78, 0xf9c13418, 0x985ab5f6, 0x2c4d538d,
+    0x089f078a, 0x3c7835de, 0xf0423315, 0xd7aa01dd, 0x0a4b01e8, 0x8968d32e, 0x8c2a160d, 0x85f26642,
+    0xebb303e4, 0x53c9aff9, 0xb3c696e7, 0x70a029fe, 0xe73aafbd, 0x7099f8ea, 0x59a6a5fe, 0x91a4d0f4,
+    0x9bc68981, 0x376701d8, 0x4dae9ccd, 0x23809147, 0x6ff1bfb6, 0x50120ae2, 0x30768211, 0x222fb5c1,
+    0x6fcbd83e, 0xe6f76f13, 0x7abeccaa, 0xd70502b5, 0xc32e9328, 0xeedf83a1, 0x34213f76, 0xa5bbc0d5,
+    0x2a14d348, 0xd6af9239, 0x44d46fc1, 0xea8bfc69, 0x64bd4696, 0x827cb50a, 0x6c63b558, 0xe5bac2b5,
+    0x0de60fa0, 0xdf2c6383, 0x72774608, 0x421e9635, 0x3b41d5f3, 0xd8afac3a, 0x2cffb50d, 0x1c0bf233,
+    0x42451bf9, 0x82618aed, 0x5ce9cafb, 0x0a02d1e7, 0x3b2ca51a, 0x1becb16a, 0x5d7ecaee, 0x5b528c97,
+    0x9b14067e, 0xfe176c95, 0x56a61f7b, 0xd7d581b9, 0x9021725e, 0xd1c2ab16, 0x34bd31ef, 0xbc1c9335,
+    0x8dd12e5c, 0x6d4524f3, 0xa63c5314, 0x746923fe, 0xbbad9edd, 0x990e01de, 0x1fc093ce, 0x593cad85,
+    0x31b21905, 0x2d7624e9, 0xd8859600, 0x8a572ab5, 0x77f2d851, 0x749e03b7, 0x5ad6f8a3, 0x1a3df5b3,
+    0xe199ab7d, 0x24b12917, 0x4f19f09d, 0x271fcf31, 0x19e36cc3, 0xe4ce5d94, 0x77fccf7f, 0x67d116e3,
+    0x517823f5, 0xbb5f03d8, 0x8ba9d64d, 0x8bf0bc57, 0xb0665e43, 0xdd6e4f76, 0xf08ab879, 0xaf8fbcf3,
+    0xf52e545b, 0x2264555f, 0xeb056558, 0x70f36703, 0x0c87351e, 0x14e9fad0, 0x2ab5c72d, 0x790133e1,
+    0x3042d7d0, 0x614dd19b, 0xd573d7ef, 0x2b804215, 0xee2894cf, 0xfd49277f, 0x73a99942, 0xcc441569,
+    0xcb6b42e6, 0xa584aa17, 0x9697b3f0, 0xec39b074, 0x7822fdfb, 0x0f1112f8, 0x3b7d32ca, 0x45a625ef,
+    0x9458e768, 0xad5b7ee8, 0x1d4f1fc3, 0xb1d3cf49, 0x1855d4c6, 0x4d1ad431, 0xbd60ac7d, 0x04aeeb7f,
+    0x82f5123c, 0x0aa9959f, 0x9a98a206, 0x45f6dfe9, 0x9429db4d, 0x833d1df6, 0x16d17ff3, 0xa5237957,
+    0xf0a4e6cb, 0xfcb7e7ba, 0x1767d0d6, 0x6ce3aefb, 0x35dcc327, 0x2d11dcd1, 0x5d626b1b, 0x5951cfbe,
+    0xffe1acd3, 0xc1d82e37, 0xa6368a36, 0x595102f6, 0xf513cbe4, 0x2b670571, 0x728b0595, 0xf7f10405,
+    0xda488673, 0xa76e9e82, 0x8b433ec2, 0x44757947, 0x13a74c85, 0x41f6f9c4, 0x41c5996a, 0x6ed05073,
+    0xfb9ace4e, 0x9da77994, 0xbe20a7b1, 0xa49c37ff, 0xa39386ab, 0xfd13ef69, 0xac4f6bff, 0xf526165a,
+    0x2ca63ab6, 0x4a25fb54, 0xb2ab39a2, 0xc7952f20, 0x7c1201ea, 0xa2208ffb, 0xe7a06bd1, 0x51fd8d47,
+    0xce6ff919, 0x0dc2d9e6, 0x2eb2d17a, 0x05c942e4, 0x8a701d49, 0xfdfac480, 0xf79afe6c, 0xb6790195,
+    0x01924ed1, 0x20064f9c, 0xe5f058b1, 0xfae822e8, 0x37709bcc, 0x83057407, 0x0aa7f06e, 0xde1405ac,
+    0x7d66a40b, 0x50314183, 0xd67cca2b, 0x418c351e, 0x568686b1, 0xa10a6f29, 0x0fde5537, 0x52262c6f,
+    0x918ac538, 0xba5d3ea8, 0x5bb75b99, 0x701c3282, 0x5e23c931, 0xa5ed5cfe, 0x16f9380b, 0x1ec1b278,
+    0xf3edba60, 0xee65601a, 0x5d53e8ab, 0xf5f105ee, 0xf92177c0, 0x18c56628, 0x0fdf04aa, 0x7c1dd192,
+    0x7c8c44f6, 0x8cd2a7f4, 0x8b166ad2, 0xd75bb1c7, 0x823b6895, 0x64292e6a, 0x4ecf187f, 0xfc25a6d0,
+    0xcdbb5a68, 0xcadba60e, 0x999a6773, 0x64ca9bdd, 0xd1b00c0e, 0x95cf570b, 0x197e0110, 0xf21df4cc,
+    0x2c7e0c4d, 0x3936a0b7, 0x47503e68, 0xef559024, 0xea5efb10, 0xd3c36330, 0x8f66bad0, 0xb91fadaa,
+    0x121cb95e, 0x912dae26, 0x94425460, 0x01b52f43, 0xb66a6305, 0xf0bc7fdb, 0xa0106d9c, 0xf7287fbb,
+    0x9ed55f69, 0x4bfeea99, 0xd64876ef, 0x61c231bc, 0x72feae19, 0x8a21fe90, 0x6e81b699, 0x677a1def,
+    0x79e7e56b, 0xee115c81, 0x903b7737, 0x14aa929a, 0xcf8567b9, 0x0127002f, 0x0358ed2c, 0x4944eb9b,
+    0xa465fd64, 0x777d984e, 0x7cd054cf, 0xbc569c76, 0xec3ab48e, 0x69727df1, 0x3161cf1e, 0x10294eb1,
+    0xc09762cd, 0xecc86820, 0xa8fb7284, 0xe8aa8ee9, 0x92e88f53, 0x04c3c57b, 0x9b3a2855, 0x4238c911,
+    0xfa8e77a5, 0xadd7d80d, 0x26ef42cd, 0xd0e83973, 0xd1c36e83, 0x7d14e54f, 0x35a68edc, 0x22891958,
+    0x0683f5e1, 0x884b9735, 0x84472c50, 0x91ce23dd, 0x9cde44ec, 0xf6f2a0b9, 0xb5300291, 0x9fe67ad3,
+    0x9b158387, 0x908dd008, 0xff01e4db, 0xbcd44467, 0x98cddfcd, 0xadbdbf9b, 0xfa0ef4fc, 0x033aa490,
+    0xf230e344, 0xcc26df07, 0x4c131c5b, 0xa9aa1456, 0xb065634d, 0x0513a6ff, 0x6e1c3a43, 0x63c983d6,
+    0x277898fa, 0x3b2ccf99, 0xdd09ee70, 0x19bbdd1a, 0x238c53b6, 0x53a7dc08, 0x23e3fbee, 0x7c18cad9,
+    0xac79782c, 0xf3b40e1d, 0xd8f2d51f, 0x575fbeab, 0xb13c4ef8, 0xbf3b5214, 0xe39d96c0, 0x66d59efa,
+    0xc948abee, 0x40d107c9, 0x33a367c6, 0xd71666e4, 0x2f16d112, 0x47d945d2, 0x0cd3dd0c, 0x547c7907,
+    0xe526bf0d, 0xd7a45502, 0x83061e39, 0x91008be5, 0x1b19c4e7, 0xfd2fe7ca, 0x19a11120, 0x2b77b871,
+    0x6caf35ab, 0x17575baf, 0x73bfb3bf, 0x7476081f, 0xe294ac79, 0x97b04b91, 0xaa2097b6, 0x7a966ed5,
+    0xefcdb5a2, 0x1d44e11d, 0x1afe2dd0, 0x3baba0cb, 0x0d5b9747, 0x48359de7, 0xb9a4e1c0, 0x5b597702,
+    0x18f82e1e, 0xbe5d7758, 0xb2b07df5, 0xdb6a7300, 0x361074bb, 0xdc28b4bc, 0x2dc7c9e2, 0xe4caec52,
+    0x4d01f9f5, 0x4599a357, 0x5636adcb, 0x15fdf068, 0xad9f07b9, 0x20ed0109, 0xcf788fe0, 0xc6020e51,
+    0x036f9e02, 0x4fcf25dd, 0xc271d70a, 0xdcaf2876, 0xc9796a24, 0x8d70c2bc, 0x740ac06b, 0x87661f4f,
+    0x2a806eab, 0x947fde03, 0x5fc52496, 0x9b6cf7c3, 0xac817c61, 0xb14c48fe, 0xd93856f0, 0x0bf61c62,
+    0xf2e481de, 0x765a9ee4, 0x621660ae, 0x858a4bb5, 0x770cca81, 0x0028db65, 0xdf71f906, 0x8a195b36,
+    0x3332ef1a, 0x35b37238, 0x0bed2955, 0x28a9797d, 0x3b19f9b9, 0x62d423d2, 0xa369fa61, 0x1a604af4,
+    0xb4d53d89, 0x8f1926a1, 0xfcb77ad7, 0x5248f7db, 0xb7780c64, 0xea6f85c7, 0x759cd9fb, 0x87c6472f,
+    0x03fe8450, 0x95214441, 0x84f9ac2f, 0x957a806c, 0x45f18d12, 0x394d1981, 0x0c97c54f, 0xff954ab0,
+    0x568ef216, 0x62dd792d, 0x14a0bdfa, 0x8e0d4e8d, 0x697c4d1b, 0x8c5f234d, 0xf6d0b19d, 0x6a7bf203,
+    0xac1467d8, 0x4a8091ee, 0x06ba7957, 0xd27c77d0, 0xbfedd52a, 0x583eef56, 0xe2d16ca9, 0x893bc0db,
+    0xb5cec0fe, 0xbd3f30ae, 0x17600000, 0x8863a420, 0x4e7f324c, 0x842adc4b, 0xdece542f, 0x50cc7748,
+    0xd0aa3524, 0x4971487c, 0x87fe0ef4, 0xd15ef342, 0x403c6b33, 0x3b1493c3, 0x930d5cd1, 0x0dc34bf8,
+    0xf4356b95, 0xba6dd1ce, 0x7c35c27b, 0xde31d1d0, 0x30aa17b2, 0xd1e86e54, 0xf5ee2ea6, 0xc2ab9806,
+    0xd126e232, 0xd0868b4c, 0x5d499547, 0xa4058222, 0x8135a6e8, 0xfb4bc949, 0x8bb70f8f, 0x287703e7,
+    0x966ebc3b, 0xc2beffb4, 0xc33aa579, 0x7ac0c710, 0x1afb800a, 0x1833bd4d, 0x6dbccb7f, 0xdcffbb78,
+    0xa51ba800, 0x086cbdde, 0x8efd6f1f, 0x3d71660a, 0xcc2ee235, 0x7190afaf, 0x98d411d0, 0x886a799a,
+    0x568b30cb, 0xc32516bc, 0xe877e0da, 0xcc360a1c, 0x02f53d5f, 0xa7ddfae0, 0x85d43786, 0x3cde9b27,
+    0x40395638, 0x4a165817, 0xddce5435, 0xdd6a8e53, 0x84be83e9, 0x3d609064, 0x52328cdd, 0x2c381f24,
+    0x883bc3d2, 0x8e7e7609, 0xf93485b0, 0x6a7de7c0, 0xef823736, 0x8a02dc18, 0xb0212139, 0x148c583b,
+    0x3b13f9f5, 0xd7b5b5e4, 0xaa52ece6, 0xacdb1023, 0xe7254701, 0x48fcc324, 0x52e086fb, 0xb3f82714,
+    0x7956480b, 0x2a47f1ec, 0xa5cecb04, 0x971a5e25, 0x67a56c88, 0x2fe39624, 0x31ab96e0, 0x97a9146e,
+    0xeeb46966, 0x9cb56108, 0x8fdc5a0f, 0x33892cdb, 0x394699c1, 0x6f7a7c21, 0x32ca24e5, 0x938c9b00,
+    0xc2fda7ff, 0x5964bc5a, 0x43cf7380, 0x3f56aba3, 0x761608b8, 0x587e1f15, 0x731a3975, 0xf9ec91c4,
+    0x6e5506bf, 0x94fce4ca, 0xabda6a9a, 0x0a4b8fda, 0xe0cceb5f, 0x67e3a843, 0xd6501d76, 0xef8beeb7,
+    0x83285e41, 0x1d62d000, 0x8335e81b, 0x7841d19c, 0xfa6a6bfe, 0xbf927f7b, 0x5965c033, 0x7fbd36c2,
+    0xbf32a2e2, 0x419e32e1, 0xb93b286a, 0x06da8e73, 0xdb734dac, 0x2b82cc9b, 0xc266da5f, 0x8f4a6faa,
+    0xca216d0b, 0x84a155dd, 0x848850aa, 0x34b7c9ab, 0x7b8a1994, 0xdce06875, 0xf33c2b74, 0x6abaceba,
+    0x170ba56f, 0x52993d08, 0xda2a5fa9, 0xaafc0d36, 0x21c19cb0, 0x650dbfb2, 0x63df5878, 0xfe9cfa80,
+    0x319d800c, 0xdadacbe7, 0x3b5827d0, 0x339919df, 0xc84db71a, 0xcb53a64e, 0x4eb8bc51, 0xabdd7eaa,
+    0x42dbf2d6, 0x57cb5e8a, 0x12a11a8b, 0x4b89125d, 0x36b08c7b, 0xb19c00cc, 0xcb432949, 0x19ab45dd,
+    0xe67f488c, 0x8fccec9e, 0xe5821346, 0x025bfb90, 0x084bf671, 0x58acd3d9, 0xe0bb6981, 0x1e82e7d4,
+    0x06255071, 0xbf634d4a, 0xfe196d86, 0xd1ab600d, 0x8e621199, 0xdc9dc4a1, 0xec084104, 0xd7fbd511,
+    0xbb5307e9, 0x56c14d6b, 0x8c529082, 0x39dc978a, 0xb3d37860, 0xd7872584, 0x0c4740c5, 0xb83e3006,
+    0x6b03f0ed, 0xaa2ce422, 0xfd007bca, 0x23bf772c, 0x117b197b, 0xcf931986, 0xffee1928, 0x3604689f,
+    0x420058e1, 0xac814f8e, 0x84a9feab, 0x5bb6d9aa, 0x092b525b, 0x57faf76f, 0x40954c8e, 0x6b0ce13a,
+    0xd0b20caf, 0x28743a20, 0x84967441, 0x4c2d0b11, 0x41ac8682, 0x04407c7b, 0x02de64a2, 0xe1dccd6b,
+    0x5bb7d4e3, 0x1e14d32f, 0xc942addb, 0xfe69b23a, 0x9b6e9284, 0x05dbca5e, 0x7b494c90, 0x2e83d4be,
+    0x323b080e, 0x8daef0cc, 0xfdad89d0, 0x21e039e5, 0xe40332e5, 0xa86b320a, 0x135c44bf, 0xab39270a,
+    0xcce1764c, 0x15a860e5, 0x844ba94f, 0x942e72df, 0x6fc6e94d, 0x0df02015, 0xc4c741e6, 0xc706a387,
+    0x9798e59a, 0xb133aaff, 0x9f10b420, 0x30efe929, 0x427f4922, 0xa11d46e6, 0x98b5aaa8, 0x359f805c,
+    0x924c31ee, 0xd30bedf5, 0x04727d8a, 0x3aac5efa, 0x35f10f6c, 0x479d0b36, 0x8b29f91f, 0x78198815,
+    0x077345d3, 0x30ead143, 0x6faf346a, 0x6ac4825a, 0xc4e9b2b8, 0xc9946d78, 0x252b2a21, 0x80b7f486,
+    0x841d87df, 0x6f2e6ea0, 0xa4f9dcfa, 0x6e778988, 0x5932a800, 0x9924b639, 0x59abad3d, 0xb1dfb156,
+    0xb8eb836e, 0xdb01dc49, 0x8f42c540, 0x7d16eb9c, 0x8836c9db, 0x501a2654, 0x169118d1, 0xeca041e9,
+    0x505f7907, 0xffc0143a, 0x9d91aa5f, 0xf3d8cd12, 0x3a40aa9c, 0xebe02f0b, 0xed7cc745, 0x061c5d56,
+    0x80f0edd4, 0x2e283aa7, 0x7482898f, 0x45249346, 0x67a080da, 0x2f18ee1c, 0x422d3245, 0xc92e4dc4,
+    0x5dbc0dcc, 0x2e47bef2, 0x3b56d2ad, 0x49b4fb19, 0xc6337a2e, 0xdeab05eb, 0x8b63da6c, 0xb714c1a7,
+    0x0a63aaa4, 0xef76f43c, 0xe1d6e221, 0x246f9772, 0x98ae88f8, 0x0f7f8cb5, 0x8ae93916, 0x77fb5d34,
+    0x7f4da431, 0x4dbed832, 0xa43f6ea0, 0x2a3b14b2, 0x217a2f19, 0x21ae3f27, 0xc96e4e8a, 0xaeb6ac3a,
+    0xd30a834c, 0x9d2c6b7e, 0x1d921741, 0xfad94ac7, 0x9288dee4, 0xd60b1fe7, 0x64647367, 0x4c1b626d,
+    0xeda97352, 0x87e1f0a2, 0x6dc81cfb, 0x6c894be6, 0xcb9fd26a, 0xdc99b8a0, 0x64530550, 0xac3db855,
+    0x8a8f7e17, 0x2d8f1f98, 0xd4748794, 0xbcb5b3be, 0xff8c939f, 0x9e4d519a, 0x5df88131, 0x035ba124,
+    0xdb8a3654, 0x45f5e5d2, 0x8c49e708, 0x5acc971c, 0x12865522, 0xa07cc358, 0x588a549c, 0x58a06bbc,
+    0x9bb0f99e, 0x5cd122eb, 0x93a8971b, 0x8e474637, 0xa3dbf94e, 0xaa4b22d7, 0xc1ed3227, 0x879c97bb,
+    0xd6bd5087, 0xdc90f853, 0x4c631db2, 0x1f904083, 0x6dfd43c5, 0x73997c14, 0x1b061f76, 0xb3c8a823,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000091343852333181432387730302044767688728495783936 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0496, 0x64d2753f,
+    0x00000000,
+    0x95602ef7, 0xbd616fdd, 0x700e685e, 0xc0376be4, 0xba0f3b46, 0x25d40b78, 0xbdb50670, 0x895b5d20,
+    0xef0ae624, 0x0ab4d3f6, 0xd836074d, 0x578a6c7b, 0xeead21ba, 0x3975e03f, 0x746affcf, 0x40691946,
+    0xf597d8c1, 0x869bb6bb, 0x1fa525ab, 0x7d7f320e, 0x425b6fe2, 0x49b222e5, 0x550e0b13, 0x7588d98a,
+    0x3633d505, 0xec507c33, 0x65278667, 0xae768aeb, 0x7ceb05a3, 0xea3c309a, 0xc2982502, 0x35b7a412,
+    0x2c818a8d, 0x77f134a7, 0x273a3853, 0x34cf2a31, 0xc75c9158, 0x6584bdf6, 0x43846ea4, 0x763097e9,
+    0x675c2d36, 0x872ad247, 0xf862bcdd, 0x219a45e2, 0xdcc6135e, 0xb35b95e0, 0xe88730d5, 0xa935feef,
+    0xcdb4490e, 0x1454dd2d, 0x7e033c9b, 0xca7fbbb6, 0xacb0cce2, 0xbdf95a27, 0x73dfb741, 0xe06266a3,
+    0x0894c8d2, 0x2e4beaea, 0xc18696d8, 0xcfb87815, 0x9ee193a6, 0xb6193a07, 0x026ba51e, 0xf7280e33,
+    0xef442aec, 0x7c6522d9, 0xa177a5b3, 0x20bcb014, 0xe89231a4, 0xf5baef21, 0xfbf3973a, 0xa3f1e8d8,
+    0x94b41420, 0x9384cfe7, 0x10bf4637, 0xa79312c9, 0x09732816, 0x690c28e3, 0x692df8ca, 0xf199f000,
+    0xf5a294c7, 0x2ddb1d26, 0xa098965f, 0x029541d5, 0xb9fc558a, 0x61ed0de1, 0x25052056, 0x53807de1,
+    0x0bac5526, 0x9d4e4bd7, 0x85f079e9, 0xca68cf64, 0x95ae0b46, 0x2cf46751, 0x3def5470, 0xbe7b7ee0,
+    0xb2d4e426, 0x93482c4f, 0xab8537b8, 0xe28264fa, 0xe38651a6, 0xb4f0a29b, 0xefe71141, 0x030d6552,
+    0x62a4aa84, 0x781dda19, 0x92bee1bb, 0x9979a904, 0x35b964ef, 0x56d6d5d0, 0x25d3161c, 0x82d894d2,
+    0xbdd69c87, 0x139e7f09, 0x8a0804ec, 0x99e501b5, 0xe9692e0f, 0x05ca963f, 0x9b4e2715, 0xb67aa6c8,
+    0x4af02c60, 0x71308af4, 0xed757456, 0xd529143c, 0xc8096601, 0xd939267a, 0x6b33ec9d, 0xac74986d,
+    0x0684ba60, 0x8dde957d, 0xeca6a43a, 0x71449908, 0x2070cbb4, 0xeff3533b, 0x3e708431, 0x53c34660,
+    0x4a3c0aea, 0xb7b95dfb, 0x858f924b, 0x5ababd07, 0xb032e18e, 0x177e8c42, 0x9e22b82b, 0xc262e1b4,
+    0xa71804af, 0xb401425a, 0xe7a08ad3, 0x8dc9df37, 0x936cf3e4, 0x61121c70, 0x09569943, 0x614c925d,
+    0x07942fae, 0xd8615d1b, 0x60752979, 0x331d236a, 0xca590fc3, 0x64d269b0, 0xc5e7e2b7, 0x8b64cb84,
+    0xfa7dab20, 0xd631cf56, 0x1b60b5f3, 0xce2208b5, 0x79c02f68, 0x2bf4a129, 0x12d0f7ce, 0xb85ed38d,
+    0x1b02a94a, 0xc12454a5, 0x0b82ad62, 0xb6941281, 0xbace34a2, 0xcf521e01, 0x1ab4a04e, 0x7de17b1e,
+    0x16b080a7, 0xbd5c740f, 0x938a6939, 0xd55d6ec3, 0x72c89be5, 0x8ecfe48d, 0x0b8f9343, 0x56702f59,
+    0xab3c64fb, 0x621fc4f1, 0x0e139346, 0x27597d58, 0xf2addf2e, 0xb115fbd0, 0xbb2227c7, 0x329ed874,
+    0xffa0fcc9, 0xd7835685, 0x32dc491a, 0x286dbae0, 0x689d7ba0, 0x16fe72e5, 0xaf53c324, 0xdae428c0,
+    0xbe653aa8, 0x735f9744, 0x2c1150fe, 0x20397c80, 0x5fa5403b, 0x10cf76c8, 0x9a7d53a0, 0x88f6c68f,
+    0x2b1fdd93, 0xf290a889, 0xb2c13dd2, 0x6a1f3d33, 0x4ee92f26, 0xd2a5d0ad, 0xe0e1e301, 0xcded92b0,
+    0x9ff51a2c, 0x8773d55c, 0xaf4b91c0, 0x247cd7da, 0xdd1c41ae, 0x1a4dcb18, 0xe7a1df93, 0xe09b6544,
+    0x09a25603, 0x68fedd41, 0xd49e81c1, 0xf096239d, 0x8761e0f1, 0x06083591, 0x708644f3, 0xbe0cdff5,
+    0x8a69d6ea, 0xcea28606, 0x985d3ace, 0xfc29a47c, 0xc2dc1c7f, 0x1d3c6811, 0x5e98ccd3, 0xd2d18c93,
+    0x580f32a7, 0xd912ab7a, 0x22156562, 0xa274c7f6, 0x5e4c0299, 0x879000b3, 0xd490606f, 0x63a91164,
+    0x6f5db614, 0x756262d7, 0x37072644, 0x2308740c, 0x30542003, 0xcd17e0fe, 0x300078a3, 0x0c5b3243,
+    0xd15f3d95, 0x91792094, 0xd3b1157e, 0x39fe5d47, 0xd4d66465, 0x24ba63c7, 0xe927f181, 0xa6d443ca,
+    0xe13a5d8c, 0xebb1c9e2, 0x63a700a4, 0x23a3128d, 0xf2b44265, 0xe6cc27e3, 0xb4c7a195, 0x578212d6,
+    0x1d14fe75, 0x3fae3871, 0x5333346a, 0x446c22dc, 0xb96e73a5, 0x68b41070, 0x014fc6f4, 0x477ef6fc,
+    0xb2f62cdd, 0xe2e6bcc1, 0x2c551a86, 0xade15b21, 0x8d32db9c, 0x2b1019f7, 0x4ffdb3f8, 0xee3eec68,
+    0x8f2b2e98, 0x4e8eae92, 0x1ea99c99, 0xd7c1ebf0, 0x31c04933, 0xceda3208, 0x539531ac, 0x3c7c3ef6,
+    0x84b29cce, 0xeffb4e74, 0x41cbccc3, 0xcf6f5bdf, 0xe40850cd, 0xc4ddaa81, 0xf5d35038, 0xee307400,
+    0x8393ea5a, 0x772a22a3, 0x3c5804b8, 0x30ec59a9, 0x5021962e, 0x1857e4d1, 0x800bf360, 0x54c8120b,
+    0xbed51561, 0x1683ead3, 0x74de39e1, 0x9c98bdb0, 0x3173c440, 0xeb75c948, 0xf8d80e49, 0xe3fd4041,
+    0xcaf57e05, 0xbaace848, 0xf2a5e5b6, 0x1f5bf1ca, 0x4eddcc6a, 0x4fc52e0c, 0xc7f12616, 0x04fe4293,
+    0x0bb0bdbf, 0x8a45943a, 0x181f3071, 0xdf1c4cc2, 0x5cb05afc, 0x6a80ce54, 0xff43ddca, 0xe3f9e599,
+    0x637a3e37, 0x8b2c55a5, 0x3f810152, 0xa360c95b, 0x60ab0bfe, 0xcbc1bd69, 0x4ee1d975, 0xe0321c25,
+    0x0855d0db, 0x1a242947, 0x886f07c6, 0xd59d4cbe, 0x6e760ce5, 0xfa83c699, 0x7e6c3a8e, 0xaea69a54,
+    0x8882509b, 0xaeb4ad6c, 0x78096a1b, 0x97d5f504, 0x7a905d7b, 0x2cdaa4a0, 0xf8011540, 0xc81d77c5,
+    0x863af4ae, 0x1a5f9cf8, 0x4a02a2d0, 0xf50a5f4a, 0xc548a3e9, 0xb342e1fb, 0x127b249b, 0x29c74c7e,
+    0x5c8dc258, 0x6ba270f3, 0x5c54c9b8, 0x142cd0db, 0x784f1cca, 0x704d6ddb, 0xcd777073, 0xee2faa76,
+    0x246e106f, 0xc5a4b593, 0xdeab54e1, 0xa9cff482, 0x8269fe84, 0xb1d1baf2, 0x8c96f1a2, 0xe8bdcaf5,
+    0x82036fe7, 0xabcbad44, 0xf3c80191, 0x83b7d5d5, 0xf1c4d55f, 0x119996d5, 0xa23da9ff, 0xb8875e1b,
+    0x87ab276f, 0x089359ed, 0x0e604829, 0x4a281a32, 0x2a7c0bb0, 0xca53a6d5, 0xa7984a4e, 0xa7f59ca1,
+    0x50830224, 0xaf3f67a8, 0xd90afff3, 0x2a61574a, 0xda110e0c, 0x64245979, 0xf78c7d3b, 0x5e615045,
+    0x8d702a9e, 0x5a593b86, 0x48c24e52, 0x95452394, 0x148c803b, 0x0e45d70d, 0xbd39eb30, 0x21bc35a9,
+    0x37423b07, 0x1260dd1f, 0x4ce2c9e0, 0x5a31a977, 0xb0d5a69e, 0xb32c82a5, 0xa98dd405, 0x73f3f0e2,
+    0xd7c50cc1, 0x531a4632, 0xe1433061, 0x5ec5b3c2, 0xd432dc85, 0xf217e0db, 0x823eea6c, 0xec4ff824,
+    0x65d76654, 0x9c1f57c9, 0x7126e18d, 0x25ed81ce, 0x61915a03, 0x81996d13, 0x02b98229, 0x27b2c21f,
+    0xa063e91d, 0x403824fe, 0x3e057625, 0xc35afe84, 0x49af6908, 0xd06ab771, 0xa45f4eab, 0xa4e4dbd6,
+    0x69415471, 0xf1b9ce80, 0xe98e0e2e, 0x23010be6, 0x6f11c58f, 0x1de8e4ec, 0x93362be3, 0x67abe160,
+    0xc56a6917, 0x62dcee42, 0xcb1c5826, 0x76c3da30, 0xae98ebaa, 0x86ae6442, 0x1254d027, 0x4328bf6b,
+    0xf3436045, 0xcd97a16e, 0xf7c79dd1, 0xa8780607, 0xa67260d2, 0x338342be, 0x97fa3fed, 0xdc67af7f,
+    0xa2d430d6, 0x12628b3b, 0x279e7242, 0x1db7089a, 0x5fe4f25a, 0xd5b803f6, 0xeb3634d7, 0x6f40b86f,
+    0xbd26dd3d, 0x53bc175c, 0x6fe9fb10, 0x35dfa4a9, 0x35428460, 0xda085a8f, 0xf1bf27fe, 0x538794b1,
+    0xcd51f3b8, 0x49c00089, 0x9d967ce1, 0xfc7156ad, 0x526cdd20, 0x372795d7, 0xf5fed5f8, 0x97aac5fd,
+    0x0acbbc7b, 0x13a48e70, 0x66a15316, 0x988ec99f, 0xfcddd4aa, 0xc6fe2184, 0xd2dcf74e, 0x20a08c39,
+    0x8ec160ee, 0xbea8b9a8, 0x91770705, 0x30f05278, 0x9cdce2a0, 0x31f6240e, 0x7ace2b62, 0x795cd197,
+    0x4038f920, 0x499c3b82, 0x8eae19ed, 0x898442cd, 0xd02777c1, 0xd47764d7, 0x1e93aef6, 0xb9e4ec89,
+    0x511508f1, 0x86f65a9a, 0xb3f83166, 0x509927f9, 0x920a8c6d, 0x0de1673b, 0x0da29ebd, 0xe89df93a,
+    0x4ac178ad, 0x413e3468, 0xf6a59bf8, 0x7cf0ac07, 0x8526ca8e, 0xb78e3ceb, 0xf1925938, 0xed3e9db8,
+    0xc609241b, 0x1246b304, 0x2844a3dd, 0x2f6a167e, 0x78703f36, 0x43594add, 0xb4dccdab, 0x46ef07f5,
+    0xc57caea9, 0xfb9dff4c, 0x974b674a, 0x4e79b0a2, 0x5b8493c8, 0x6d0d9d13, 0x05d63890, 0xe8c842e7,
+    0x65ffbc58, 0x08cebfe3, 0xba26b0a2, 0x7d150abc, 0xb3ad0ed1, 0x204964fe, 0x15036fe2, 0x5f6c18be,
+    0x7672bfd4, 0xd9e68500, 0x5b372948, 0xa0b99651, 0xdd4289f9, 0x299f9abf, 0x8c3c881c, 0x7add9434,
+    0x7c48b55d, 0xca0caf69, 0x1bb62934, 0x12c0ccdb, 0x001f33a4, 0xe6c4b7eb, 0x3b8c6120, 0x7caa21d4,
+    0x9f1222c7, 0x60160356, 0xd802b9c9, 0x976beb2a, 0x4f1609b4, 0x0c29950d, 0x53acaaa7, 0xd702a37e,
+    0x9c19fdcb, 0xe720d161, 0x94ab994c, 0x3b570836, 0x8c56e05f, 0x54775fd8, 0xda3946a3, 0xba60bff4,
+    0x95651867, 0xf7ca12a1, 0xa9a7a3fb, 0x9b25d29c, 0xfcbf450c, 0xc0faba76, 0x13ab0913, 0x558aa659,
+    0xe54d0bbb, 0x1b6911c4, 0x6d1f02a7, 0x471a11c0, 0xd566b5ba, 0x268aa3ea, 0xd771b68e, 0x82543f35,
+    0x84257293, 0xc97a9261, 0x2b58c9c8, 0xfbbcc3b5, 0x80b47eb3, 0xefccd382, 0x1f08c37f, 0xbb8e5760,
+    0x10cf9d6c, 0xbe709e80, 0xf863ec79, 0x38981c24, 0xd4db0d62, 0x752de297, 0x30e48c88, 0x6fd704b9,
+    0x786e95b7, 0xaec75c8d, 0x6277ba2b, 0xeae4a573, 0xd5e06c3e, 0x6013ebdf, 0xdaa31597, 0x819d3241,
+    0xda54b996, 0xbc440631, 0xc84cf941, 0x5cc03f5c, 0x95604e74, 0x4245bbec, 0x5515dee5, 0x9d4daf9e,
+    0xef41fc9c, 0x9af0b9d9, 0x8b4e7d9d, 0xeda88510, 0xf56a8ed1, 0xee917aad, 0x80b7d51b, 0xfba92e20,
+    0xdb7d4da8, 0x7c21f4b9, 0xe1a330f3, 0xc34cd178, 0xadd61588, 0xc8b2d2d5, 0x60dce553, 0x4be5d424,
+    0xbe61eab1, 0xe14e8817, 0x0a15ad5d, 0xf6fe72c7, 0xe6fd61a3, 0x235b8198, 0xebadda13, 0xcfd0c6df,
+    0x10d1b80f, 0x6999e506, 0x9d9ea74a, 0x32e86d8d, 0x10609fd2, 0xad1d0a49, 0xd2b1c899, 0xa347161f,
+    0xb738697a, 0x4e7d78d8, 0x584c9965, 0x3dee189c, 0x07f85e32, 0x90894bbb, 0x1bf5788b, 0xcaace45f,
+    0x1f9740bd, 0x5fb414a5, 0x103927fe, 0x14a4a744, 0x78298bf4, 0x61c2f48a, 0x8e650eb5, 0xd66939a2,
+    0x765e60d0, 0x576897ba, 0x1a6c8403, 0x50e3f5c6, 0x32fd5fd6, 0x9acab41b, 0x1d6fb030, 0x912f3a5c,
+    0xa7b52962, 0x314bb52f, 0xfd10183c, 0x40a59c92, 0x123c9583, 0xcfac304c, 0x8cf706bc, 0xb13667c6,
+    0xc864076f, 0x8227db16, 0x93317b70, 0xd2d0895d, 0xcd3d7396, 0x3ad7b819, 0xdbe653d4, 0xf9228a3e,
+    0x81a26794, 0x85007fcd, 0xa1765936, 0x708d27ab, 0xd1942fdd, 0x12a1b590, 0x5f18d70b, 0x714e2fdd,
+    0xbe335aba, 0x5f350c45, 0x612c1066, 0x70ad9396, 0x68c5ce3d, 0xecc1efb8, 0x9bb467bb, 0xf22c3cd7,
+    0xca64a317, 0x1130949c, 0x3791cf78, 0xce32f9ba, 0xc6efb98c, 0xec535306, 0x1ecd1a1d, 0x83d2d17d,
+    0x4d6d00a1, 0x9ffe1e0e, 0xec8e0485, 0x67a9ceb1, 0x2054ccc0, 0xadd3f472, 0x2d863c86, 0x1a840144,
+    0xea09f905, 0x354c708f, 0x475ec8f9, 0x83b09cfa, 0xa84eeca0, 0xfd10bda7, 0xa0be2813, 0x533fee3e,
+    0xcc586b3a, 0x2478d5a7, 0x7fc9a520, 0x239f9519, 0x6ab43be7, 0x1c61422e, 0x1395a45d, 0xa3bc89d7,
+    0x4f69721b, 0x8d561255, 0x7d606878, 0xbc3f167b, 0x2b82e0e4, 0x8313d42a, 0x4f73788b, 0x81e74df5,
+    0x99ad7a33, 0xe6100118, 0xec97aea0, 0x1dfa90f4, 0xe25c1f00, 0x29f95f45, 0x2b5af1ee, 0x3743f7d4,
+    0x6e616ec4, 0x50537f99, 0xfb2f29ae, 0xab004391, 0x4d8c8444, 0xcbd58e70, 0x8e7f8728, 0x4042bd61,
+    0x26c166e3, 0x6795a854, 0x406effb0, 0xa2ba1f2c, 0x56301363, 0x9585f255, 0x65aff6cc, 0x6dc54baa,
+    0x604dd185, 0x0e425f22, 0x7ce7175d, 0xa24299ca, 0xf4dfe953, 0x63f0e835, 0x4cf8f0d8, 0xc68acf99,
+    0xd59ada85, 0x53e74230, 0x1b3f4e45, 0x05eb7dcb, 0xb6ebe6ba, 0x60f42d2c, 0x37a9eb72, 0x7080987e,
+    0xb4af5ba9, 0xb2a22e3c, 0x65498d74, 0x74824958, 0xd04abc00, 0x1e958b87, 0x30f37673, 0x05fc16a7,
+    0x8e462703, 0x72d28386, 0x36621935, 0x5b0959f5, 0x45b4a6a8, 0x000117b9, 0xd4353f7b, 0x963c4394,
+    0x316d0783, 0x2f237001, 0xd5d10278, 0x99e53ebd, 0x5ab028e8, 0x5625dc4f, 0x173cbe90, 0x65c6da21,
+    0x439abae1, 0x3a353128, 0xbd7dbae9, 0xf4cd4a9b, 0xb3bd4e13, 0xa94ca514, 0x51feeacc, 0xe9f7611e,
+    0x2327c703, 0xe69d8aab, 0x3a00aac0, 0xe2240c6d, 0x4197fdf3, 0x48936af4, 0xe614c79a, 0xfa566928,
+    0xeac62585, 0x6fa2e9bf, 0x07c6b3e6, 0xe44af8ec, 0x282c74ce, 0x33b13fed, 0x864226a3, 0xf946e2af,
+    0x512f5450, 0x6389f4b0, 0xbddcafbc, 0xdf06b009, 0x20b4c76c, 0xef6f8940, 0x99cd1439, 0x128124b3,
+    0x323503b0, 0x925ae2f7, 0x721514fd, 0xe3df89b9, 0xc27bd4f0, 0xc8ff3291, 0x3237f181, 0x23903f3a,
+    0xd42f441d, 0xae97edb4, 0x0857ef6c, 0x050673b2, 0xffca69ab, 0xce5f9268, 0x3f73f6c1, 0x81073399,
+    0xe152c93e, 0xb72040df, 0x59237db0, 0xf4e1d560, 0x80b57cb8, 0x1830e6f5, 0xf13ced64, 0xde1310e4,
+    0x8efc0041, 0xb878c4dd, 0x92d24a7f, 0xd884dc42, 0x6d8fe2ca, 0x8d7bc3f4, 0xa2e32e72, 0x74a66d7f,
+    0x83f2f985, 0x493d9d68, 0x2e12462b, 0xabb2c2b3, 0x70fb4cec, 0x623be3e4, 0x89ef0a9b, 0x1d2278be,
+    0x09078de5, 0x9a0fc50b, 0x304c3fa2, 0x8193440e, 0x2b2f0646, 0xdd50bbbf, 0x3191cad7, 0x73ee400a,
+    0x5faa816f, 0x43d7db3b, 0x44157e0d, 0xb4c536ec, 0xd2269d9a, 0xf49d6315, 0xd21bcb91, 0x49ac28d7,
+    0x1c29969d, 0xdfc2808b, 0xd4e6e3f0, 0x4282aa76, 0xa3394e99, 0xcb74561b, 0xe21522f2, 0x7cf9b56c,
+    0x6c7f8de9, 0xbf2f712e, 0xd8232b93, 0xa0afbf00, 0x4f70f996, 0x47b626ac, 0xd986e80c, 0x9f4df69f,
+    0x48f89137, 0x17c4d64d, 0x1f6b7539, 0xdd523ebc, 0xbfadaa37, 0xc3113035, 0xdb4a250f, 0x28c342a9,
+    0xd5f7db9c, 0xb2d2e589, 0x1c5fcdb3, 0x47fa77d6, 0x0cc79a85, 0x48ee987c, 0x9806c8ef, 0xa9dfe1a7,
+    0x9d62c88b, 0xa2dc5f58, 0x4a1264a3, 0x843794cf, 0x79b9fd83, 0x1a93363b, 0xa731a18a, 0xf692d2c6,
+    0x6cdc4526, 0x7280ed4e, 0xc830fb2e, 0x0f5e22ae, 0xd8336e7c, 0x1bb1493f, 0xf01646c7, 0x660def36,
+    0xef60ff4c, 0xd3c66d19, 0x5dd29761, 0x3f985154, 0x266d53c6, 0xa2366f26, 0x39a81a95, 0xa13e14be,
+    0x84c0eb2d, 0x9c649b0c, 0xbbe942e9, 0xece6f518, 0x6c5cff88, 0xd0403d98, 0xd30fdedc, 0x352dd0f1,
+    0xc24962c7, 0x98ac3fc2, 0xba323931, 0xd153f51d, 0x442c4dc1, 0x854a75d0, 0x5f82f9fb, 0xf40ef65b,
+    0x4d794ce8, 0xc39cf93c, 0x7b91a366, 0xb8d08ee3, 0x52428610, 0xb5aad734, 0xd1801a85, 0x98773341,
+    0x66611087, 0xee1fb9b5, 0xcfcc50a2, 0x51aa7cfa, 0xfba52a9b, 0xeecdc4d5, 0x03a5871c, 0x5270ad49,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000045671926166590716193865151022383844364247891968 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024b, 0x32693a9f,
+    0x00000000,
+    0x8a4681ea, 0x436242b3, 0xe700f7f5, 0xf87a7013, 0xeaf466c0, 0x54e77a6a, 0xe1ec76d5, 0x78f0d4d3,
+    0xe5969e18, 0x712f99f4, 0x17ea12eb, 0x2f983eb2, 0x712001c7, 0x2bb3cf7e, 0x299b6f1e, 0x43634bb2,
+    0xd8a6095e, 0x07c2cdd4, 0x89cc3ef1, 0xa8312dd4, 0x7ccd453e, 0x6db0ae6c, 0x290bb027, 0x335be02e,
+    0x6b3a3699, 0x31b48f94, 0x3a1e4612, 0x0f1c8445, 0x5c042b47, 0x1273c681, 0x5d9417a4, 0xae19af58,
+    0x17549207, 0x0a6c10ee, 0x905a30f5, 0x50570cbe, 0xf0181b95, 0x597ec6db, 0x522d4b75, 0x624bc9d3,
+    0x01c267d5, 0xd225b4d9, 0x938364a1, 0x93eb6b19, 0x340d14fd, 0xecb2bad2, 0xb24ca07b, 0x8bffc738,
+    0x5788ea02, 0x9ad48a3d, 0x297d0b49, 0x3845248f, 0xccd94b5f, 0x84d61ca5, 0x3acd8feb, 0x2cb26b15,
+    0x1606fb04, 0x7a7ac0d1, 0x7c997c0a, 0x76a030e3, 0x692b4f06, 0x592c3ef0, 0x2402d8c1, 0x13454282,
+    0x1ae475e0, 0x8b81e869, 0xae054a2b, 0x5b814c1c, 0xca124fe6, 0xee20c31d, 0xaf1a1fe1, 0x5e2f3e79,
+    0xffe76b1d, 0x5784f423, 0x90ee97e2, 0xf343b74d, 0x99f7cd18, 0x95b7b8a0, 0x80f4f888, 0xfbf84dae,
+    0xcd806a1b, 0xb8fd026b, 0x749c1cad, 0xe76a994c, 0x047a7c1e, 0x3ea7a209, 0x2ff4c04a, 0xff1cd379,
+    0x47f73fab, 0xc2d6c8ac, 0x70c9f9cd, 0x426ebc46, 0xaf776143, 0xa6cecdee, 0x588d14b7, 0x8efa0b8b,
+    0x79cbb16f, 0x57f8f533, 0x5a5a90f5, 0xe7ab2500, 0x9a121d26, 0x6f26e32f, 0x4cc29652, 0x6a2185d1,
+    0x9047b0cf, 0x45f200a6, 0x428fa6fc, 0xa4ba82e9, 0x7e83ab67, 0xf95c80a8, 0xfd2ec7dc, 0x97946f0e,
+    0xe5a8c8f2, 0x2831de63, 0x5b4a6a71, 0x7990d8c0, 0xff805d3c, 0x14dec632, 0xb994cd4c, 0xad067589,
+    0xc3fc4827, 0xef66abe6, 0xf60e68ac, 0x51780c42, 0x007a1ddb, 0x4de2f76b, 0x1fb65e2e, 0x7b7faa78,
+    0xbc4b15af, 0x7fd36d17, 0xf50908ca, 0x2bf18b24, 0xdd6879d4, 0x91bb675e, 0x34ea8686, 0xe29158c5,
+    0xbe3e41ba, 0x103e01cb, 0x1e457420, 0x5379ad0a, 0x7e5e0347, 0x90b82f7f, 0x75774f7a, 0x1482e77a,
+    0xed645c1e, 0x858d91bc, 0x6f6eeb71, 0xc445fa37, 0xdc545274, 0x00702c27, 0x91522b72, 0x4b00600d,
+    0xe6c39161, 0x05bccaa4, 0x274c769d, 0xdd89e511, 0xb9995c9b, 0x1259b19c, 0x40f08347, 0x5b1ee3fd,
+    0xd246008e, 0xcad7482d, 0x9d781ff3, 0xa55b537b, 0x9a3ba2b7, 0x56cbe9bd, 0x40d3a84a, 0x15c04f8c,
+    0xab060700, 0x813f6cf9, 0x99b1c0a3, 0x042193ac, 0x545c80e1, 0xd044ac9e, 0x39fdc8dd, 0x70ea6915,
+    0xb36f6be0, 0xe4d3eba0, 0x1b8b34c7, 0x0d06432e, 0xc01f33ad, 0x3e480297, 0x095321e0, 0x2aac48a5,
+    0x657b0ebc, 0xde3582cc, 0xf5f7db87, 0x0fee48f9, 0x1a786ceb, 0x69248fb1, 0x5dfcfa30, 0x406acd20,
+    0x774d906e, 0x4f566ca5, 0x4a1a0a01, 0xc1ab4234, 0xe84ecb60, 0x56ccaef4, 0xa2b57878, 0xbd22373b,
+    0x825d3019, 0x60ff60a7, 0x88e3afe6, 0x98a36f0b, 0xadcc1435, 0x7489fdf9, 0x623da2f2, 0xdf061859,
+    0x9c4bf213, 0xab344e5c, 0xdeb4e34f, 0xcaecaf0e, 0x4aaab199, 0x87e8db1c, 0x9df2f5d1, 0x536f103b,
+    0x9e503295, 0xf249f834, 0x37fcc440, 0xa0b1601e, 0x0d260c8e, 0x39cab9bc, 0x1eddee12, 0x2bd00acd,
+    0x654b416e, 0xdb8e5f41, 0xba500ebe, 0xc0ac5243, 0x5dd42385, 0x79ce6a92, 0x66661077, 0x6db60e73,
+    0x77f43953, 0x94454c76, 0x53275b11, 0x105aa3de, 0xd42e7993, 0x1c95120c, 0x57306db3, 0x05e50beb,
+    0x1a0e8611, 0x5c126348, 0xf96ffb4a, 0xb9b6d894, 0x0f0870c6, 0xc9b14185, 0xe0d6b4c8, 0x5385fee5,
+    0xac7a482b, 0x5f54a5e1, 0xf02ea0b0, 0x2de894a8, 0x1df804e9, 0x9fbfa9bc, 0x067dd02b, 0x0a155039,
+    0x6849dcd6, 0x20d00897, 0xf74059c9, 0x845c8123, 0xb3163912, 0x9f9d07dc, 0x61f42fdd, 0x6a9e02cc,
+    0x4aa576d1, 0xc851ab36, 0x605457bf, 0xab96de10, 0xc97e2dcb, 0x980b1956, 0xfdc90bee, 0x530abdb9,
+    0x08f9a3da, 0x110fce7f, 0x95c698a2, 0x17246b71, 0x9ed47e6b, 0x4c2420ae, 0x944f9147, 0xddc2f6f3,
+    0x45888882, 0xa576b936, 0x5016f4f0, 0x3cb24376, 0x290fd5b9, 0xbb54fe74, 0x5e7a64a4, 0xe0aae97b,
+    0xa32762ac, 0x0d1450ae, 0x189f4110, 0xc5f62dc1, 0x5386e6a2, 0xa18befb7, 0x318fea3e, 0x817ee519,
+    0x5002ab4a, 0x25e3f01b, 0x9e909e52, 0xb139343a, 0x069d2f73, 0x2be2ed2c, 0x2d324923, 0x6728c9b2,
+    0x537416bf, 0x8101f2c3, 0x9010f3af, 0x21c51300, 0xcd8bb28a, 0xdb1f0658, 0xbec21c70, 0x7a6d50d9,
+    0x69743845, 0xdc7a097c, 0xf944fec9, 0xa7de76f3, 0x4f4c58d2, 0x9965d2b6, 0xe22dab8a, 0x074db8b0,
+    0x667023e8, 0x55a8ccfe, 0xf7fd4d15, 0x566de029, 0xdb728a17, 0x0fd3be0c, 0xa21240cb, 0x45cc3827,
+    0x035b1d07, 0x7aeedbe7, 0x63fe549f, 0xc230ae7a, 0x96227a64, 0x89d946c8, 0x6d1e633e, 0xfde592ea,
+    0x03b20e62, 0x52d79fb2, 0x1f9ec32f, 0xb55c2f64, 0x9cf7e6c7, 0xd4687d3a, 0x7e86d43b, 0x2d197db9,
+    0x1fccc78b, 0x88945227, 0x5ac5cfc9, 0x759f3d00, 0xfacca792, 0xde5077d1, 0x15ed1d93, 0x4bd281ba,
+    0xd6d203eb, 0x26a2b14f, 0xf44848fd, 0x5edac390, 0x93df686f, 0x334e072d, 0xb8ee7411, 0xe06d55b7,
+    0x2ef6c675, 0x6d3ad73e, 0x3f647f8a, 0xf7d06550, 0xc2ebaa77, 0xa8f573b9, 0x5adff011, 0x4f0a2705,
+    0x150342e5, 0x5444437b, 0xee7e0fc2, 0x825c74d8, 0x0b7bfefd, 0x8259fe26, 0x44da6491, 0xd8a1f76b,
+    0x8421fc75, 0x34629480, 0xc452d1a6, 0x47d47dbc, 0xc271e003, 0x7488754b, 0xe8b7628a, 0x1a6e0651,
+    0x99a96851, 0x1065d559, 0x94c816f7, 0x0dad135c, 0xf6c2b3db, 0x69909067, 0xb8df4270, 0x09f0e07f,
+    0xffdaadfd, 0x8395a030, 0x7b8383a6, 0x3d88fd3d, 0xd2d6a70a, 0x4f20f79b, 0x0d79e83c, 0x544e0c5d,
+    0xf303c74a, 0xe6cbf89d, 0x3e4b553e, 0x5a51b07f, 0x59c608b5, 0xd72cb7e4, 0xdd809849, 0x47150fe5,
+    0x123fb50f, 0xe4ad7979, 0x1aa53781, 0x1c1db39a, 0xb6b719c2, 0x056afcd3, 0x6a3ec19a, 0xb1588404,
+    0x354a6beb, 0x991fe86e, 0x65b27f5d, 0x0c8e324b, 0x6a24149b, 0xc8d91b57, 0x3456d3a6, 0x321d9609,
+    0xe030370b, 0xe79c032b, 0x4ae05944, 0xe7b7e855, 0x1d1b5df9, 0x342199c4, 0x0316e996, 0xf422542f,
+    0xf58a56dd, 0x9c042ab8, 0x51f5c826, 0x3bebfc76, 0x1d6d8e78, 0xbba773b2, 0xac91b2c1, 0xc3415281,
+    0x8d9304f8, 0x02e3b59b, 0x09cbae12, 0x09163989, 0x06481a8f, 0x09b8d31c, 0x4be2bec9, 0xead03b00,
+    0xa2c81510, 0x11ae89e7, 0xb9f88e54, 0xf4a2cf62, 0x84cebd79, 0x764d7d7f, 0x2da8063c, 0x5d565783,
+    0x822f6055, 0x141fc808, 0xa0374407, 0xd13033c6, 0x93524363, 0xcb405abc, 0x821d63ad, 0x17ead653,
+    0xe6766450, 0x9c48b063, 0x8c13098b, 0xc8a8d21e, 0x04f8d68d, 0x7b3c45d9, 0xa94cc766, 0xc0c2979c,
+    0xd67b0bdb, 0xf0e334eb, 0x9eed7305, 0x76c3c6f0, 0x7b0f3521, 0x82d935aa, 0x7fa90d05, 0xcba88325,
+    0xc86f7b23, 0xafcd0455, 0xfa8caa1e, 0x3fca5aef, 0x1419d77b, 0x872e9374, 0x30bde0dc, 0x76bf8f9b,
+    0xb3e0bade, 0xc602c054, 0xff1912db, 0x85b9f0d4, 0x441f7bd9, 0xaa6889cc, 0x8f6b4ab4, 0x56b8a843,
+    0xbddf82a9, 0x60127b94, 0x720038e8, 0x4881e391, 0x6a925e43, 0xb92b7fa5, 0x443feccd, 0xf6cdfaa0,
+    0x3e959655, 0x886150a0, 0x98d7998f, 0xa3fe55d5, 0x1479d142, 0xd9b45171, 0x24e21414, 0x7089ee47,
+    0xb72ca25d, 0xae608f08, 0x250c7690, 0x35ec511e, 0x1d173983, 0x3d16c4cd, 0x8596988f, 0xf909db59,
+    0x0d193cf1, 0x00be7a6e, 0x9491f5ba, 0x143d568a, 0xa63fa7ea, 0x2b96ab35, 0x9a52f22a, 0xa80be7ef,
+    0xa3010d97, 0xa5ab4f08, 0xc3e98ec5, 0x2379674d, 0xc2630f8e, 0x1ad643df, 0x56387414, 0x8fa450f5,
+    0xf9b81b8e, 0xa913742e, 0x38025014, 0x1725c8b0, 0x8868d637, 0x32de328c, 0xbbc06423, 0x8cc2eed8,
+    0xa7a1ab11, 0x08d48845, 0x22fd13f0, 0xf7b70745, 0x5c80f8bd, 0x3007416e, 0x87ca290d, 0x3507420e,
+    0x81286b68, 0x6f1ffc77, 0x0c3d4013, 0xc0be3a4d, 0xbeac292e, 0xfc25ea04, 0x788d2501, 0xa75363c4,
+    0xab0c26eb, 0xb87b06cd, 0x831e1463, 0x70495e43, 0xf24265e3, 0xb774f637, 0x2ca5e4e3, 0x4a15c45d,
+    0xfc5edf6d, 0x041565cc, 0xea981901, 0xa6e2e3d2, 0xc77f71c8, 0xdbd4ab07, 0x1e4cef63, 0xb853cfbd,
+    0x0a9117df, 0xfcd461e0, 0xad290a77, 0x1418bff9, 0x4769e43d, 0xdfd792c5, 0x8e4d9a5b, 0x91621109,
+    0xbc3275c9, 0x3dbc2cfc, 0x5740c85b, 0xa5eeee79, 0x9db9734e, 0x92765005, 0x02269fd1, 0xd614aa43,
+    0xf688f732, 0x62cc9993, 0xdbe2d3f7, 0x7e69c711, 0x22c0d14b, 0x85ac5f0a, 0xb07e5c5e, 0x438ef0a1,
+    0x0589b3a0, 0x6ab70f78, 0x13598181, 0x3857078a, 0x864cc1cc, 0xc6a946f3, 0x5feec474, 0xf98e0e87,
+    0x895b5e60, 0x98f5e81c, 0x430f8e50, 0xa82de667, 0x78a1e6f4, 0xa2de7046, 0x188a0b98, 0xae043676,
+    0xf274f247, 0x7c399fc8, 0xb92e488b, 0x90f8a50f, 0xd3304c4b, 0x0bcbab10, 0x6f42b8f2, 0x424dae91,
+    0xfbfd0e03, 0x340c7752, 0x72fc74ef, 0xa3ebe989, 0xb9abf09f, 0xecf1dfab, 0x5ea6b292, 0x4e8396c0,
+    0xab21ca2f, 0xde38e619, 0x83c4f874, 0x8ebef6a5, 0x3b5a807d, 0x2c90d9ca, 0xfb55e858, 0x392b03a5,
+    0x770e7cb0, 0x13d0faf1, 0x7eaa9b61, 0x70294aa1, 0x551861eb, 0xbc11fbd5, 0x9d068e79, 0xff1251ac,
+    0xf75bd15a, 0xa12b25ee, 0xda87d9ea, 0x643aa614, 0xa9161273, 0xb3b375de, 0xa5fbf54c, 0x38b1f7b4,
+    0x985b9b0b, 0x6f6eeb1b, 0xe8640981, 0xc71e443b, 0x26e9c81f, 0xb719cf78, 0x806860a0, 0x9577097e,
+    0x683e490a, 0x8b574f60, 0xedf3e1b9, 0xe86fbe37, 0xf5ba7ee3, 0x62daf8da, 0xf3677693, 0x12d470de,
+    0xa1c9caa2, 0xb8529f3b, 0x90bc9115, 0x631dd7e8, 0x7292a1c3, 0x5ae94b61, 0xc877ecf0, 0xa5398fb6,
+    0x08c2a206, 0xfb4ed466, 0x2096eefe, 0x9ec89fad, 0x368df851, 0x040fba49, 0xda37c3c8, 0xda04252d,
+    0xa516d8da, 0xa60d852b, 0xb868fb7e, 0x74adcbd8, 0xc7a58538, 0xa50571e9, 0xbcf10bce, 0x52628740,
+    0x76845d60, 0x313cff9c, 0x2fcbd607, 0xc6b0fb38, 0x7da1a5cb, 0xad690802, 0x5f091d2c, 0xf3582989,
+    0x9aaf045a, 0x6f404b76, 0x4b29caaa, 0x2d7c1807, 0x3e17d138, 0xe4d8c516, 0x15c211c5, 0xd34281fc,
+    0x949e4d40, 0x179709f2, 0x83da882c, 0x72610b75, 0xbbf6bc67, 0x50d6cdca, 0xc2b93488, 0xd7ae65c5,
+    0x1346f9e3, 0xff08fd15, 0xf17e3fa4, 0x89a6f5d3, 0xf6095a1a, 0x49651c8b, 0x0e1ad2b7, 0x52c6ffbd,
+    0x73842035, 0xcbae2154, 0x938c7b63, 0x39ae5fbc, 0xcd6df458, 0x28ed13d4, 0x4436834d, 0x36df1f86,
+    0x63740014, 0xe3311464, 0xdefc1426, 0x3663f33c, 0xa3bade80, 0xe2559e55, 0x26c8a8e2, 0x667b019e,
+    0x67357bc7, 0x04eedfd1, 0xaa4b8eea, 0x3cbc0f7f, 0xb43e8ab7, 0x9fd921ff, 0x4eb42647, 0xb8b8cd46,
+    0xb857cdbd, 0x407fe793, 0x53036fbd, 0x01df114b, 0x7df9c370, 0xdb51c768, 0xcfa4834b, 0xc9e0275d,
+    0xd1f79fe2, 0xeff64c4f, 0xde535904, 0x9d0f406a, 0x7ae4858c, 0xf297c90f, 0x3e391bd0, 0x1a6d4555,
+    0x34f8a2c8, 0xae23ad82, 0x52adce60, 0xbbca6bf3, 0xae392dfe, 0x0249578c, 0x1c460977, 0x754f78c8,
+    0xf6391c23, 0xc49c2d25, 0x4db4de48, 0x651b6ea5, 0xf919f9a9, 0x22416ec5, 0x720a534c, 0x1e62e829,
+    0x6e3f41d7, 0x9fb2a466, 0x9fe61f84, 0x5be51955, 0x2078cda1, 0xbdad485a, 0xf6ce050f, 0xca65b4dc,
+    0x7e510cef, 0xdd787f0e, 0x8a8eb506, 0x5935176b, 0xcd5aea9a, 0xa275c31c, 0x05333004, 0x1dffcfaf,
+    0x9111fcf8, 0x2de40a4d, 0xb82b4b3b, 0x9b7ffeaa, 0x9e438402, 0x459221f7, 0xbb695219, 0x0ae2eef9,
+    0xa2c498ec, 0x301babce, 0x2ec90d2a, 0xfe3d2439, 0x1088acea, 0x1ea870d1, 0x0150c987, 0x947b3070,
+    0xaa53292c, 0x8338c659, 0x6896b702, 0x0e95eb55, 0xb13cdb13, 0x431849e4, 0xae0f376b, 0xbd328213,
+    0x438c8b0a, 0x261772b4, 0x502f3239, 0xe28c8f62, 0x4ea4fdf3, 0x8ab4586a, 0x19eecc61, 0xc761b71a,
+    0x4ec0cd19, 0x5ef0661a, 0xf27fabc4, 0xe4635ad4, 0x8f388b32, 0xbc510281, 0x49985e6e, 0x0ce6e5ca,
+    0x8df5c8b2, 0x62eab579, 0xe26a4599, 0x11247bb4, 0x0ed88a0f, 0x452543b5, 0x687d1f0b, 0xbcec4390,
+    0xfd120f5d, 0xb04c7f85, 0x4fca0546, 0x91202b00, 0x5faf6fa3, 0xa8de9785, 0xbb635955, 0xf458567d,
+    0x654b7cbc, 0xb58fb49e, 0x270bc8b3, 0xe4bbb839, 0xc4bb6291, 0xf71c51c6, 0x30f0f0bc, 0x67f543a3,
+    0x9caf8c8f, 0xec98b86f, 0x8811dc23, 0xac3a6e1b, 0x68d3f38f, 0xffa974fe, 0xde749521, 0xfe063d5c,
+    0xe5d70e76, 0x4ffa97e2, 0x945a4d55, 0x209c2e0a, 0x09a1466d, 0xd439f0d7, 0x64ea746c, 0xbb416ec1,
+    0x3436c13f, 0x1b0e3721, 0x4b3c37e5, 0x746ebcf0, 0x52102d53, 0x564ab811, 0x02593b9d, 0x4c4d6ee4,
+    0x0d1e7f71, 0xecf8027a, 0x1302db4e, 0xa261cc12, 0x62dd7d59, 0x3a06741d, 0x8271bec5, 0x9e47cf31,
+    0x81ba1a1d, 0x8b6e60c8, 0x223d6e8e, 0x5952750e, 0xe08895d5, 0x29d44bff, 0x15b305b7, 0xbe670858,
+    0x18a3146c, 0x7f85ea0f, 0x4b65bb8e, 0xd470812c, 0x3589d57c, 0x8a8c642c, 0xf81ab315, 0xda60c384,
+    0x7b197b58, 0x6e58eb75, 0x736ccf46, 0x72687d28, 0x07329f37, 0x872df5b7, 0x0d2b5544, 0x8f78cb95,
+    0x6239fe61, 0x5b70de5f, 0xada5502f, 0xef739375, 0xb2d420f4, 0x469168ae, 0xe155d34e, 0xc0769780,
+    0x24c65314, 0xa7fefabf, 0x9e93863e, 0xfeeb4520, 0x7d4ac802, 0x54929b47, 0x2724a54b, 0xf9e33fc6,
+    0x7b632e9e, 0x4b9ee7bb, 0xc9d63893, 0x0d0f127c, 0x87691111, 0x26b3de18, 0xd8d66730, 0xf9df636d,
+    0xf543d2b1, 0x8fdfea86, 0xff0ff8c8, 0xe14cb6d0, 0x98808b6f, 0xa84e2fb8, 0x709f8b5e, 0xf116493f,
+    0x3a25a39b, 0x8b249a3a, 0xc4d8c405, 0xfa35b365, 0x0f30390b, 0xc5d83a30, 0x06d66907, 0xc398ea72,
+    0x9f90c546, 0xfc2ca380, 0x4f6fc8a8, 0x03dd880f, 0x6f344a83, 0x8fb0611a, 0xed445068, 0x2f6f4107,
+    0x0d7d2748, 0xa4041dfb, 0x9bbe16a9, 0x409b357f, 0x8be4ae90, 0x5bd9a302, 0x4f17ae85, 0xd76d5eaa,
+    0x182f4b9c, 0xd27886ec, 0x94ec98f0, 0xe09a1dbb, 0x2d1b320c, 0x0bbdbb8b, 0xfd45a310, 0xfcf0097d,
+    0xcb99334a, 0x978e25a3, 0xb9db14f4, 0x25838041, 0x3fd5df07, 0xa3be8eb3, 0x7d15a7ad, 0x63e0d9ef,
+    0x1aa01468, 0xca6fad79, 0x389267f2, 0xa2b37be4, 0xb5013e4f, 0x5b7fc0a7, 0x7dcd5c36, 0xef313dff,
+    0xf1a80bb9, 0xaf135510, 0x5026df92, 0x471bae61, 0x992c729f, 0x23757672, 0x749510d4, 0x759e2458,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000022835963083295358096932575511191922182123945984 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928125, 0x99349d4f,
+    0x00000000,
+    0x8509dde8, 0xb01839d9, 0xe643462a, 0x61d160bb, 0x783b6850, 0x44a8580d, 0x2f44a6eb, 0xa8e897d8,
+    0x1bcd5a44, 0x05028d47, 0xf8639af0, 0x5bd05ded, 0xd3f90869, 0xcb92df25, 0x26f1d9d9, 0x1d7c2808,
+    0x93b3a8a3, 0x24e24639, 0x9f5a2fac, 0x7ed9feb6, 0x632c86aa, 0xb2b735b0, 0xe6191e9a, 0x42b0bc66,
+    0xec0f69ca, 0x141dcc73, 0x9da21137, 0x44f2e43c, 0xad7df360, 0xb52caeb4, 0x6374a7f0, 0x9b758dcb,
+    0x078687b5, 0xfb3444ec, 0x2dc14766, 0xf31814dc, 0x48b4def7, 0xc649dd16, 0x95df8e40, 0x445b5677,
+    0x5828e6c1, 0xff868ff0, 0xed63c1c5, 0x5f7b4ff6, 0xf24f11a2, 0x2e1e5ac7, 0x58478ef5, 0x41ff70e8,
+    0xed3f23e6, 0xf2717b4c, 0x77cd2caf, 0x92b71904, 0xb6a0a504, 0x5ef0fcde, 0x43e88c74, 0xc0d4711d,
+    0xdfb36243, 0x3db0e171, 0x64a9209d, 0x4cad0805, 0x47dd13e7, 0x76c0226a, 0x20a2df0e, 0xd99616f2,
+    0xcd5d44d9, 0x0299507b, 0x49e0c0ee, 0x1a56696e, 0x6c9353e9, 0xcca0a1c6, 0x4a69d49b, 0xb490edc0,
+    0x3ea2bb86, 0xbc6cf7df, 0x8a52a954, 0xb8c770cc, 0x7bd268c2, 0x6ff4556a, 0xa067c88a, 0xd01376d1,
+    0x0e3e5c89, 0xf3a98133, 0x9886dd9c, 0x54d01e39, 0x721df884, 0x902842c1, 0x71ca2f8b, 0xcaa863c5,
+    0xe6f9ae95, 0x0d8564fb, 0x88c8f019, 0x28b67abd, 0x70b0148d, 0xb797ba67, 0xd4c18ad9, 0x3d577387,
+    0x5d2f6e12, 0xd3a106eb, 0xf0272499, 0x081007fe, 0x2411ec39, 0x88c8c8b7, 0xb686c24e, 0x40dad11d,
+    0x6f14bfbb, 0x78db0dd4, 0x85d057dc, 0x14436e87, 0xb395f7f6, 0x535849f4, 0xc9a3ab07, 0xd218e3be,
+    0xc67210ed, 0xb73eadeb, 0x48c64f21, 0x1d8a9ecc, 0xe56315b7, 0x2d727448, 0xaf9e7fe2, 0x8c7037f0,
+    0x1099e491, 0x6d6fdb21, 0xcaffdab5, 0x383eb100, 0x07ea7a18, 0xfb46fe6a, 0xf0ed936a, 0x0f49086d,
+    0x4db9ab38, 0xd667fcaa, 0x102eadcf, 0x4b87cfa6, 0xe2852562, 0x78abe083, 0x0465f999, 0x10e4fa20,
+    0x3dc524a5, 0xe750d0a8, 0xfba1cb8d, 0x1f44b273, 0x97d95e57, 0x853ae775, 0x3ca9939e, 0x258dfe83,
+    0xb32d98fe, 0x1d20431b, 0x2285b480, 0x120e3533, 0xac00ff20, 0x35490388, 0x15d12a91, 0x893a46e2,
+    0x0c9ab90c, 0xd638d555, 0xa63dfa8c, 0xbbb9a4a1, 0xe713513c, 0xb0ea3f4b, 0xf9925383, 0x1c48705e,
+    0x274b0bd0, 0x9ec89885, 0x9b53a22b, 0x59ec8a62, 0x7171def4, 0x2c706d1d, 0x31d777a6, 0xeed82915,
+    0xc4546cbf, 0xa188fe52, 0x24aa3b78, 0x32f72ec4, 0xde4977b3, 0x6fc378b5, 0x83fca36f, 0x139e1729,
+    0xd882b211, 0xe07ea359, 0xb669176a, 0xb5c02eee, 0x1b5ddd31, 0xdda15180, 0x2ec6c003, 0x775d4846,
+    0xf48b5dd5, 0x993e4c8c, 0x4043dca4, 0xf847d166, 0x90312e32, 0x1d312041, 0x3b0e4562, 0x742a57bb,
+    0x0daa4d90, 0xf3bfc8ed, 0x092bb995, 0x6c7eaf37, 0x84833f36, 0xe6239509, 0x4ddf6802, 0xc32c7048,
+    0xad93a9db, 0x9336e29f, 0x338b4b08, 0x18d173fb, 0xbd01aa1a, 0x8c2193e3, 0x6da68dca, 0xba1cefb1,
+    0x7699d5e9, 0xe51e5c6e, 0xef3fb517, 0x2fc010c6, 0x0ca7be6f, 0x9ceaea8c, 0x44ae2993, 0xd9d56544,
+    0x7f7c9b99, 0x2e4b5016, 0xbd5c142f, 0x5f7254c0, 0xbb127c6d, 0xbc26f04e, 0xdd4b42a0, 0x19cbd9ea,
+    0xdf1da94e, 0xb9b6e93b, 0x1b4fcf99, 0x10d3f201, 0x97a40f05, 0x479f9ed4, 0xe1c0f5b9, 0x269f1c0c,
+    0xff67fabd, 0x539aa79f, 0x61bcb3cd, 0xe7b3ba63, 0x078a8238, 0xf5a16608, 0x71cf958f, 0xa6bab795,
+    0xc534f04f, 0x278f7dfb, 0x2705bc76, 0xda7b0f94, 0x89c9d38a, 0x1cac10b3, 0xde556e35, 0xa7ee8eb8,
+    0x015a210b, 0xffaf15d5, 0x24f737ea, 0x79e2554f, 0xf881a42c, 0xfedf5aa4, 0xd8664026, 0x6c48326a,
+    0xeb0abd25, 0xcfb0ba5f, 0x7e3ba545, 0xd4cfee61, 0x0bec86a9, 0xdc0691d3, 0x14cfa2c7, 0xa3ff35a1,
+    0xf7d29324, 0xbfd923ea, 0xb88d8ebc, 0x09c48b5e, 0xeff22084, 0xe8ec4c72, 0xc079f8f9, 0x01b715f4,
+    0x39b3a22d, 0xfd1f8a60, 0x84166f43, 0xd9d69b4b, 0x84aa104b, 0x5d5733ef, 0x506b56ab, 0x5ffdab8b,
+    0x51255013, 0xb4e16797, 0x75b98ed1, 0xfa9d00fe, 0x57895000, 0x50b070d2, 0x8eb89aae, 0x6c9addb7,
+    0xe0c561f9, 0x5ffcdea4, 0x038aea66, 0x95bea19c, 0xaea7b3dd, 0xf4486b0c, 0xe33b560a, 0x877987dd,
+    0xf6d785c3, 0xc283a92d, 0xb2e7553a, 0xead2b302, 0x2740dded, 0xd6a76c67, 0x889e7295, 0x65fce837,
+    0xfb704838, 0x8492d4cf, 0xdfb7aa89, 0x7313d075, 0x0653a7bc, 0xd82bc8b8, 0xde4060f1, 0xf073656c,
+    0x6400afad, 0x68936f68, 0xc754e151, 0x552df1ed, 0xa8b2a225, 0xfd90c8c5, 0xe4c1b32a, 0x1021c6d8,
+    0x27cad8ab, 0x12689c60, 0xcb4db010, 0x2a785317, 0x7499b5c2, 0xd074af52, 0x6bf4fbac, 0x2677ad8b,
+    0x9a57aef3, 0x8bd24376, 0x0812748a, 0x6c0be726, 0x409bb5dc, 0x17c1ab65, 0x7e8d0983, 0x3cbf8fa3,
+    0x739f3a43, 0xbbc9caf9, 0x9eca01f4, 0x4728aade, 0xa7e2cbf2, 0x6e336296, 0x0dff6db3, 0x399a2976,
+    0x84ce5214, 0xdab50d6a, 0x19e19384, 0x6221fbc6, 0xc3afe717, 0x21c51a91, 0xfceaa081, 0x6114e96e,
+    0xc2913f59, 0x4aca1cea, 0x693219b5, 0xf3f28f51, 0x4f4b8867, 0x25665ecf, 0x6a8a83ce, 0xd94879c1,
+    0xf3c3067b, 0xc118e950, 0x26eb34f9, 0xc7b4ac4a, 0xef4e4ae1, 0xb6182e10, 0xea6c27e2, 0xce89f81d,
+    0xd1f03271, 0xd25e7ade, 0x1f190326, 0x2b427343, 0xd65983f8, 0x176b4be1, 0x97387405, 0xc0a4548e,
+    0x01db1045, 0x18f7f0a2, 0x9dbf9ed7, 0xc4c5f61e, 0xd1a9d411, 0xa6780f74, 0xfe7b3991, 0x86a07ef2,
+    0x756b8b69, 0x72f0cf3b, 0x360c3e43, 0xfe3e7991, 0x8bd6509d, 0xd30a70ff, 0xa3310ef8, 0x79961955,
+    0x751f28b6, 0x8d1784ca, 0x08786e46, 0x4aad47d2, 0xa0da10a3, 0xba95e839, 0x8561774e, 0x67e68c31,
+    0x840f0bb4, 0x9234aa97, 0x7c3c3592, 0x2e1a6eb1, 0x85621058, 0xdd811940, 0xadda6203, 0xf0b17f77,
+    0xc51c8334, 0xbf098f15, 0xe87d7b44, 0xaa00711a, 0x63ac35d1, 0x15ce683b, 0x80a1b8a5, 0x568349aa,
+    0xcea48a2a, 0xc6e42d3b, 0xcc2f0b10, 0x53dfa7ec, 0x91cb9ad8, 0x76fd4ee7, 0xdafa26de, 0x25547ab2,
+    0x38b8f767, 0x7db8471d, 0x9017b922, 0x268200a4, 0x07168309, 0x5f090cf4, 0x75fe28ed, 0x1dcc0e83,
+    0x273b8404, 0x7a2fd096, 0x43118f6b, 0x5acb196d, 0x8badfeec, 0xc42b9a8f, 0xa17e5c2c, 0xdf504a28,
+    0xb16b259d, 0xe94af43e, 0x92dbabd1, 0x32d1a01d, 0x59f46185, 0x55576b05, 0x41e21dba, 0x9d7c4cc9,
+    0x98638521, 0x5f107708, 0x59a3481d, 0x7fd1f4f8, 0x8c79ee6a, 0xb3089a2f, 0x9e411528, 0x96213d54,
+    0xa5c34c7e, 0x47d8f145, 0xca66a83c, 0x4120aadb, 0x0ec7a56a, 0x19fb901e, 0xdd17ddf8, 0x524e87ba,
+    0x445251ff, 0x9bb649bc, 0xdd8e6b40, 0x7cb191dc, 0xab38ef9d, 0x0bd3a07b, 0xa04d511a, 0xb990142e,
+    0x263b8502, 0xb2bb9480, 0x29f1cb25, 0x7ae01665, 0x3f99aa49, 0x99334349, 0x561d3301, 0xc28ad897,
+    0x7f998a03, 0x955928b2, 0x3702c210, 0xbdac17c2, 0x8154109b, 0x2ea8cab2, 0xa7f14966, 0xa16efad0,
+    0x6cd1dfa6, 0x40bb7bd7, 0x3a96f29f, 0x6ad8a440, 0x642e281c, 0xa5f39f0b, 0x44227d88, 0x6f7b023f,
+    0x808ee299, 0x5f04a15d, 0xcb8337b7, 0x3aa20ec2, 0x0678cf80, 0x3aaa1264, 0xaa5c4b75, 0xead49cc1,
+    0x1fdb0bb7, 0x306ddf87, 0xe604f708, 0xb8f15bb7, 0x8380c3e2, 0xf93eefd9, 0xf1565ac7, 0xb3f79fe6,
+    0x4e8da7b3, 0x695bbef4, 0xa87a0367, 0xe8cd7d71, 0x66bbb328, 0xf39df766, 0x76d744f9, 0x0509b6cd,
+    0x1efc3156, 0x7d594031, 0x7d240f50, 0x43fe911b, 0x62c1698d, 0x47668ca3, 0xeaf37398, 0xd522f318,
+    0xe778783e, 0xa6e48c36, 0xfb3db398, 0x0475cb26, 0x9fb42bbc, 0x54298420, 0x61eeae25, 0x14d2a4b0,
+    0xd0784786, 0xec03ae1c, 0x6389b58b, 0x050cfe8d, 0x8acf79dd, 0x86f2d342, 0x0b531efe, 0xdf4a8d1c,
+    0x16f33f10, 0x1f59650f, 0x4137de44, 0xd54ac460, 0x6c79b020, 0x5f55608a, 0x6aead2b2, 0x198d2a07,
+    0x5561220f, 0xa05beec1, 0xf4af3cd8, 0xf084ebe2, 0x4159a3f0, 0x3b515e7e, 0xdda42d4f, 0xf309a16c,
+    0x6279f934, 0xb4ffd5d8, 0x27b11797, 0x53f4503b, 0xf0ab4901, 0xc471e8b0, 0x273ece5b, 0xde843c6a,
+    0x9e1acb8b, 0x79be4374, 0xe369cafd, 0x70a66602, 0x739c1be7, 0xc9577f28, 0xeca01e91, 0xcd5c2a78,
+    0x19ec3af1, 0xa9690adf, 0x3f7a17d6, 0xb27374aa, 0x74e95a13, 0xa01a1d19, 0xb7100e01, 0x4091f9c1,
+    0xa8b94350, 0xfaacd5fb, 0x7721741e, 0x47a0ef8f, 0xddd1d111, 0x260af206, 0x847a416a, 0x132ba060,
+    0x13ecc963, 0x1d3156c7, 0x854650a1, 0x84f675b7, 0xd9dc456b, 0x0a32f2af, 0x6d1529b4, 0x143dc4ee,
+    0x408effa3, 0xfdfdffca, 0xcd2768d2, 0x80e32749, 0x573e031c, 0x11396305, 0x9846d37e, 0xbf2bb11e,
+    0x05bde7ff, 0x29a5bf0d, 0x61f52070, 0x0686cf0f, 0x32d0c265, 0x62bd415b, 0x003440f6, 0xf270e384,
+    0xe77c4497, 0x3c3f29ac, 0xbfd72fcc, 0x60b7a646, 0x5d88ab9b, 0xd0549958, 0x882e88de, 0x3b29cc24,
+    0x6bb59ae7, 0xbab431b2, 0xb5715f46, 0x1cc196f1, 0x62f99165, 0x05a73aa9, 0xa96975f1, 0xee6bd616,
+    0xe84fd6cd, 0xe50c4dab, 0x8fa4245c, 0x89cd68f1, 0x23a70394, 0x7b20e5d2, 0x8ad7d241, 0x956b9681,
+    0x7f821168, 0xd4cf6348, 0x62889aa2, 0x65bf4554, 0x2b7b29b3, 0xe1903068, 0xc037d873, 0x9ff154cf,
+    0xf36d553b, 0xe900092f, 0x3bcf3e26, 0xf44b41c9, 0x897c76b1, 0xb6f2e1d0, 0x22445b4d, 0x755ad048,
+    0xf1073b85, 0x298ae0a9, 0xbc11a5d4, 0xa22acfec, 0x6e6cd711, 0xc85875d9, 0xb3d59ab5, 0xa8031b79,
+    0x5bb1ecdf, 0x29a69b90, 0x68e764f1, 0x69b70b43, 0x3d3b4184, 0x81666c9f, 0x8bb98ee0, 0xa9d725d7,
+    0xc39be3c2, 0x65ec7e49, 0x3deccc4c, 0xfdaeadb6, 0xe58afe3a, 0x55f43144, 0x0fb413c7, 0x40ed8b02,
+    0x7bc3fa00, 0xe7f8872f, 0xa878814c, 0xdd26bde3, 0x95fd73e1, 0x46e1d47e, 0x0113e6ca, 0x03b511fa,
+    0x42d40289, 0x567d78f7, 0x47bb1cbd, 0x119fa8b5, 0x9e63a166, 0x848f3139, 0xb75eba15, 0x8ccf92e0,
+    0xe8209a5d, 0x8f38a9d3, 0x24a32779, 0x77b7b6b5, 0x979640f0, 0xd8f1d6d5, 0x3f56cb95, 0x3aa65f0b,
+    0x2a2df0fd, 0xc0515dfe, 0x1d790573, 0x10a9539f, 0xd1e58669, 0xb8d011dc, 0x8dce7fdd, 0x2ab842cf,
+    0x3738b323, 0x600c4b39, 0xfbd539e6, 0x58d92da5, 0x4125ce62, 0x38168682, 0xee09fbf5, 0xa6f5a82c,
+    0x8757222c, 0xf08c46b7, 0x3b16c460, 0xa3d9f91b, 0x7eb2f5d2, 0x64d8857e, 0x062d2cda, 0x6692d1d2,
+    0x047ec2ef, 0x556219e7, 0x0a94e8e7, 0x7500ab10, 0xaaabc102, 0x8cdd1dff, 0x94b74639, 0x4f7bb191,
+    0x22f4e6bd, 0x71f6f35c, 0x77cf8312, 0xef763a1b, 0xf2d48f4f, 0xd8c0a44e, 0x2adab36b, 0x3cb7eb5f,
+    0x27f3e9c3, 0x3e904b07, 0xfdbabab3, 0x4911d1bb, 0xdcc86012, 0xfa79717c, 0x5892f909, 0xb724454f,
+    0x51f02fc3, 0xe9f5ac52, 0xfc66fe61, 0x2e36ba5c, 0x31b179f5, 0x1ed7684f, 0xe2b3ab34, 0x0c83acaf,
+    0xeef23340, 0xa73cf1ef, 0x84bf241a, 0x1a7fb432, 0x69ef14f0, 0x8fa3575f, 0x8157bc99, 0x8b0ddc8c,
+    0x09c6d873, 0xec61ba88, 0x754bdd2e, 0x2f09dec1, 0x9f2df86e, 0x62abbf2b, 0xd97d2fc8, 0xd67997b7,
+    0xd6e1daa5, 0x97638188, 0x41ce52fd, 0xf516f199, 0x5d57acd4, 0xb192efd3, 0x96501348, 0xf601b988,
+    0xa39ef920, 0x0383da62, 0x956fd5ef, 0x0da8cea2, 0x6fbeed5f, 0x6159dac7, 0xad10aa05, 0x28f35a17,
+    0xaf65da21, 0xe68810c9, 0xa3ecc471, 0x23c1f790, 0xcca96a42, 0xcc1fc126, 0x05dfc923, 0xff2b7f93,
+    0xba8d0ef0, 0x20935040, 0xaad184f0, 0xfe748d10, 0x7511adb2, 0x090f185c, 0xd645228e, 0x5a5993ff,
+    0x6f77cf3c, 0x9aa2310b, 0xa5488446, 0xc1664783, 0xeeda1ead, 0x082e6197, 0x23408585, 0x9f74cbfc,
+    0xd01511ea, 0xf842fbf2, 0xbc467a17, 0x4a9c4554, 0x4944fa35, 0xbf5d97b6, 0x28f89797, 0x1b3bf54b,
+    0xc37cf8c9, 0xb2936a90, 0x3491d091, 0x5389498a, 0xab7489db, 0xba5c9110, 0xb97d85f3, 0xe6781d18,
+    0xb1fcecd3, 0xc219b031, 0xeab8dfbd, 0x5b034b40, 0xcf1e94c6, 0xa14b4e5a, 0x3d44cb02, 0xaf3591fd,
+    0xd2d8a4ca, 0xd6d111a9, 0x09eb00a9, 0xdd2496f4, 0xac831160, 0xe78e4a61, 0xc54f54c9, 0x2f6df81e,
+    0x43f0f72e, 0xa5546935, 0xb75de747, 0x041526c6, 0x7af2b63b, 0x71039d63, 0x832581fa, 0x5a2e42fb,
+    0x16ea456e, 0xb5eee0a4, 0x9735db35, 0xe7d75d95, 0x3052cf5e, 0x96ccae9d, 0xf69aee61, 0x418be379,
+    0x770b94c4, 0xd94429d8, 0x11189ba4, 0xfbddb54b, 0xb0f38c39, 0xb9245a07, 0x09dc09bb, 0xf4018388,
+    0x78761354, 0xddd85e17, 0x2fa28aa2, 0x214ee95b, 0x4b5e935e, 0x9e59468f, 0x6f4f5b52, 0xad1ff46a,
+    0xa6f68d4c, 0xf9cfac15, 0x88c6c8bf, 0x6235c5bb, 0x8963febc, 0xea9566ff, 0x13d57452, 0x852742f9,
+    0x7f3c9e26, 0xb53e4375, 0x9d2a33e1, 0xcdce331e, 0x93164e5a, 0xd0f6f0b0, 0xf257f811, 0xabcf23a5,
+    0x87d9ef37, 0xef814bc0, 0xa7f78f58, 0x7ff56de6, 0x1aeb94c6, 0xb9a02270, 0xff3e377e, 0x346c7326,
+    0xa7794e32, 0x42c596fd, 0x1736b3a1, 0xc041ab07, 0xf4653d27, 0x0d5d62c4, 0xd9e0913b, 0xc95a7f12,
+    0xf28102c9, 0xc0bff4a8, 0xfe97e3fa, 0x6496caab, 0x58324fdf, 0x96bb4a3f, 0xcfe46aea, 0xce8e5fb3,
+    0x2d05f44f, 0xaefa0306, 0x7a597964, 0x8b2a9cf8, 0xb7eec7f2, 0x83e53ae3, 0x9c980fb6, 0x19137d65,
+    0xb062abec, 0x7033c502, 0x90657847, 0xd6656d98, 0x8bac7048, 0xb13d0ce5, 0xacd5549e, 0x48f5128f,
+    0x066b21af, 0xb1357290, 0x6e5d4307, 0x7f72dff1, 0x690baf90, 0x4ce1d471, 0xda15ff69, 0x59bc4ba0,
+    0x9d649134, 0x3816cd31, 0x4aec18cd, 0x238d2f02, 0x3ff21cc8, 0x90d5b35e, 0x272be417, 0x726da8a1,
+    0xcf77ac95, 0xe8a80ab7, 0x35a847de, 0x05d18747, 0xcdf0d7a0, 0xf1a05b20, 0x7a9f9c32, 0x12100cee,
+    0x626a1588, 0xf02f5003, 0xbca31710, 0x5b0b9d9d, 0xa6c8d853, 0xa7b17a10, 0xc84406c3, 0xba8cd92d,
+    0x82012cd2, 0xe927cbfa, 0x8d694a74, 0x73852e3d, 0x7c2b1919, 0x46792e3c, 0x47109e4c, 0x8ae5bfd4,
+    0x5650300b, 0x17a190bb, 0x05ee0883, 0xb47d43b2, 0x9017d5b1, 0x5f9e7844, 0xaabf3578, 0xab18d671,
+    0x35635e46, 0xc7201494, 0xa27fcfc8, 0xca8def8c, 0xa6243f41, 0xc13e3525, 0x8cf30365, 0x63cd1273,
+    0x5c04b849, 0x1342ad44, 0x6e04235e, 0x82a1e8ed, 0x0d200749, 0xcb7dfa51, 0xff57e9bc, 0x3e586128,
+    0x40df5f74, 0xd90134aa, 0x3806bced, 0x8f2a8a73, 0x6af8d5dd, 0x55fb2e34, 0x9e2db2bb, 0x03f598cd,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000011417981541647679048466287755595961091061972992 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94092, 0xcc9a4ea7,
+    0x00000000,
+    0x827eb567, 0xa6dcad12, 0x8b9f4820, 0x20a7d66a, 0x8d2b251e, 0xcc4ebe0d, 0x0229f4f0, 0x05324595,
+    0xa10762b9, 0x1406e7b1, 0x7598f314, 0x2cf8b144, 0xd932c64e, 0x568f5188, 0x3ca431d7, 0x1aee2b2d,
+    0x98daa518, 0xb31a4f82, 0x3f40b999, 0x1b7afd2e, 0x43bb3f0c, 0x87258d54, 0x833ac9cf, 0xc9786135,
+    0xafdd8726, 0x06866558, 0x007fc895, 0x6dae0238, 0x5ead4672, 0x86ab0738, 0x97102d59, 0x62affa64,
+    0x0cd3f436, 0x3992a8a4, 0x40281b5a, 0xae2c457d, 0x96e2fe78, 0xcf809a0d, 0x5ddff977, 0xf9878d36,
+    0x42329463, 0xdf53ce00, 0xd9fe273a, 0x2af1a7ad, 0x48e00b91, 0xb63749af, 0xfa1359d5, 0xe046ad3d,
+    0x1da8ac9e, 0xb62bacee, 0xd1dd0c7d, 0x8a3e9041, 0x8820f4c3, 0x9e2f0fc9, 0xec3626d4, 0x432ea78b,
+    0xa2aebd9a, 0xc31be354, 0x763e27a3, 0x95d954c3, 0xc1034ec8, 0x5943a363, 0x900dd163, 0x21d32ae2,
+    0x0cc8b874, 0x234f9a41, 0x5c3011c9, 0xf6a1ef0d, 0x1074472b, 0xb0dbfaa8, 0x77ecd375, 0x5b253e6b,
+    0x89f456f1, 0x02e92233, 0xae7abe3f, 0xa16b7c86, 0x81231b8c, 0xeb519ae6, 0xeb92d667, 0x25ac792b,
+    0x2cf65528, 0x089a867d, 0xac0dcd03, 0xf9f4a210, 0xe31e74a9, 0x7a3aa148, 0xe20ef695, 0x86e21811,
+    0x4ca2168d, 0xb57087f0, 0x4b8aa224, 0xa151a50b, 0x0c74ef8d, 0xb3916dd0, 0xe3c43cd7, 0x2d3887a7,
+    0xa3a77607, 0xd5764aee, 0x3cebc1c8, 0x3d309684, 0xcb3b4724, 0xaf0d5579, 0xe6b3fa48, 0x7afc3467,
+    0xb138da6c, 0xf204354b, 0x1704c2da, 0xfc52f755, 0x1d032273, 0x8ff0969c, 0xc192a151, 0xba1268b1,
+    0xffdf038b, 0xadf82032, 0x4e429d65, 0xce29dc8f, 0xfd486408, 0x99930894, 0x74f21cbe, 0xea3b4aba,
+    0x74baaf5b, 0x57cd2713, 0xbc12fafa, 0x5ddda213, 0xf270b2b8, 0xac3d9b46, 0xe1816dbd, 0x4124c159,
+    0x6befdc48, 0x9115842e, 0xd14c5b31, 0xb4d78fcf, 0x3fe4b8db, 0xa8ab7f0d, 0xad0a64d0, 0xd7998948,
+    0x3aa8e29a, 0x96e9bd75, 0x20338842, 0x9f8a3213, 0xd92ac706, 0x5349d85d, 0x626264d9, 0x985e70c0,
+    0xfedf6642, 0xd5d93166, 0xd0d6942c, 0xfe4cbaab, 0xec687153, 0x023a68e3, 0x05fb0a7c, 0xb7d9acfd,
+    0x8fab33d3, 0x43c176f3, 0xf3d32b33, 0xe620481b, 0xdec15a6b, 0xa5059c87, 0xa2389b3d, 0x0cb09bb2,
+    0x5dc10427, 0x158dbf54, 0x1b2db9f8, 0x99a695f9, 0xcb8f166f, 0xbe51133f, 0x12a88063, 0x2f6281f1,
+    0x7a87fedf, 0x3a88fbcd, 0x1d9c7e28, 0x053aa157, 0x5a1e113d, 0xc6114e03, 0xdc845b3f, 0x478dedcd,
+    0xe8c81dfa, 0x5df7e926, 0x3259a149, 0x64406f2c, 0x1ca56f43, 0x3e435c57, 0x8a140f1c, 0xc6588b48,
+    0x10416423, 0x88dd39d3, 0xf533334e, 0xcaad9c31, 0x90857c71, 0x6901bfd1, 0x45df0daa, 0xe294e41c,
+    0xb64fbe8b, 0xcbe1eb6d, 0x011d07db, 0x8a20ee1a, 0x29045b70, 0xb374182f, 0x32f01d36, 0x44d6a0c2,
+    0xc4b2c786, 0x3fb65fbe, 0x5209e1aa, 0xe2b111a8, 0x8778a0e6, 0xb509767a, 0x2a99dc9c, 0x0b6969d7,
+    0x3179d53e, 0xc32a27ec, 0xe3245958, 0xa8199415, 0x73eb69a1, 0xcdf93e1f, 0x529a7983, 0x659d9904,
+    0xb3e5e97d, 0x9c9dd371, 0x63b07e5e, 0x36700e98, 0x9e5c2dd5, 0xa4111179, 0x2eb971cf, 0xa958f5eb,
+    0x4fedff87, 0x4a98d06b, 0xc99ac8c0, 0xdd039271, 0xdb32cbc9, 0x45954b04, 0x0d6aedc6, 0x4debe129,
+    0x500f0f2d, 0x1acda454, 0xa07330cd, 0x0608d3a8, 0x03d45d64, 0x9fb3cdba, 0x414d3612, 0xb69a2a29,
+    0xe7f1f662, 0xb51ea51e, 0x28b47897, 0xa476bd06, 0x66a1eb1f, 0xfa4408bb, 0x553f4ba1, 0x7b618c0a,
+    0x18851220, 0x20a79dc4, 0x10decdbc, 0x2c4ce0a9, 0x72a53b62, 0x0e2416ee, 0x84314a8f, 0x5357a85d,
+    0x2dfdb123, 0x5f180315, 0x24e873f8, 0x64ef016d, 0x4f558252, 0xcf5f2c2a, 0x233e0f72, 0xc42f8b1c,
+    0x610fdb32, 0xd99ddc87, 0x026b3c4e, 0x58e2af7f, 0xff355931, 0x66ca16ca, 0x721993be, 0x9429d31a,
+    0x3e6f9055, 0x34b0a4c1, 0x4db18d23, 0xf91ee123, 0x8161d37c, 0x616f1ab4, 0xf854e45d, 0xbb2a7b9e,
+    0x4f868519, 0x49d667bb, 0x26e8784c, 0xf788e54d, 0x74481369, 0x49227c2d, 0xd16d1d5c, 0x199e4dee,
+    0xa4eca65a, 0xdf7d79bf, 0x8e98e67e, 0x94278c12, 0xd08a2dc7, 0x1da401d1, 0x17d09aa4, 0xfa6a72dc,
+    0xbb430bbe, 0x2fd17de8, 0x3b784d27, 0x19b7da09, 0x2485bc9e, 0x9ee6444b, 0x2391b9e3, 0x433dc601,
+    0x6d001352, 0x37cb29ac, 0x329217d1, 0x5456c595, 0xc1b0f5cd, 0xd4182823, 0xbc34a667, 0xe655fde9,
+    0x5e3e3e6e, 0x10af0a4e, 0x470d781c, 0x01fc073f, 0x32d074a9, 0x052941ed, 0xfc0d602d, 0x9953dfc7,
+    0x956a10f9, 0x832c7f12, 0x1c9ea775, 0xa3b19172, 0xf277362a, 0x0b031e15, 0x2fe01af4, 0xde590bad,
+    0x54093d26, 0x28aca391, 0x5e492112, 0x1263ea00, 0xfd455ab3, 0xdb0fe53a, 0x630ab6bb, 0xcb7b5e45,
+    0xd81b144e, 0xc7e04b6c, 0xb5825c1a, 0x5742f4dc, 0x87d29b1b, 0xa2b8baf9, 0x23745c88, 0xed96b394,
+    0xc9b0143f, 0x734ef8e1, 0x8b4e475b, 0x8fa41960, 0xcc06eea2, 0xb3ed09a5, 0x0d57cc35, 0x56ff4bf8,
+    0xa7da6e82, 0xbe18ffa1, 0x4a3e1d13, 0x105f61dd, 0x4e349b2c, 0xf991ead9, 0x65a2abd0, 0x4e4aaed9,
+    0x03bac202, 0xf90d679a, 0x1f7b436a, 0xed88ccf9, 0xec42039d, 0xf7233ebf, 0x4676db5f, 0xe9670d16,
+    0x7af649ad, 0x426c5949, 0x8449d8d2, 0x87aa3533, 0x41af7af9, 0x04521cf3, 0x8196df70, 0x91cc14d1,
+    0x7302b997, 0xfa7b0867, 0x5c82a71b, 0x321d9f59, 0xc9b1c8d4, 0x31dd2614, 0x09130f0e, 0xe7aa5a15,
+    0xd42b6dcd, 0x742afd8c, 0x6e80d0fe, 0x4efccaa6, 0x466be559, 0x6ce5fd92, 0xf2ad5823, 0x4cdd5154,
+    0xbae70248, 0x318e3ead, 0x2be8a5b9, 0x28dbed66, 0xb172fb6a, 0x2a51fccd, 0x3293cf0f, 0x19dc3caa,
+    0x18e6eab6, 0xf1525c5c, 0x00dabb1c, 0x24195773, 0x93a7ec8f, 0x21956544, 0x0336fee3, 0xcb4c4306,
+    0x42b97115, 0x9e284510, 0xf077b68a, 0xd6e563cd, 0x508af573, 0xef63ffbc, 0x9d6da283, 0x0bc498a1,
+    0x8e730534, 0xb3ac513d, 0x1a503534, 0x02cd1885, 0x03891cd8, 0x386c288f, 0xa0fbe69c, 0x9f79c285,
+    0xe469edfb, 0x1d4018e7, 0x0d64f708, 0xd2e87aa6, 0x8c42d831, 0x9aac69c9, 0x75bd96d9, 0x878904a0,
+    0x439bf08e, 0xb736b3ca, 0x2cd78f31, 0x4859e58a, 0xd10d2e4a, 0x5e2e7ede, 0xdb9d632c, 0x6d6d8aff,
+    0xfbbcdbd8, 0x85954a90, 0x6d970d57, 0x363ec98c, 0x069909b5, 0xe3afd693, 0x0488051d, 0x58231277,
+    0x9f2abae9, 0x5f018103, 0xdae52a0a, 0xf3f09932, 0x3d300904, 0x4c7bebde, 0x16fb5763, 0x5b7fdb5c,
+    0xfc045ece, 0x8e008ca9, 0x4859421a, 0x1be2575c, 0xf04f1fe2, 0x0a1cb487, 0x80488806, 0xb8b36379,
+    0xc7b58c5f, 0x62c8c78f, 0x958422db, 0x4020e4f5, 0xfb394887, 0x72fc1ca4, 0xfc687030, 0x5b78a280,
+    0x62172918, 0xde65b834, 0x3b572ecc, 0x3e8b6ffe, 0x6e7e27de, 0x7a60ee9e, 0xb801822a, 0x3b7e3177,
+    0xbaf6dca3, 0x059ef3a2, 0x52141b1e, 0xe4dfd7cd, 0x88be69c6, 0xd893a88b, 0x924eba7f, 0xe5922dc3,
+    0xe2d8c308, 0xd1741599, 0x9f85237c, 0x127e5689, 0xd27bfc1e, 0x18071f5d, 0xfa907daa, 0x57ced731,
+    0xc7dc2e29, 0xae8c103d, 0x3759db90, 0x051499c4, 0xc4c0bd30, 0x64543478, 0xc2b76932, 0x1f9791e3,
+    0xa88e0366, 0x57b6f69f, 0x98808145, 0x9b8e442c, 0xe39aadb6, 0x44a6e85d, 0x3410a9b2, 0x3198ce46,
+    0x2a100d5a, 0x995edeaf, 0x2bdb7250, 0xda52a344, 0xda273d4f, 0x0dad2c2a, 0x684cd0fa, 0x6deec917,
+    0xe388def2, 0xb8087871, 0x6f284308, 0x0187ca1e, 0x6125d1f9, 0xb5e3a344, 0xc3c62350, 0x3855c1ac,
+    0x64ead61f, 0x0b46b2a7, 0xb36a7d50, 0xa10fadf7, 0xe6d18882, 0x3e89eb86, 0x66aede58, 0xff3fe5e6,
+    0xb611e02c, 0xdf1764fb, 0x1c13ffad, 0x7441915a, 0x83676647, 0xee5a58e1, 0xcc6878e9, 0x80f6919a,
+    0x709830b4, 0x1743360f, 0xe9e964b2, 0x470e830e, 0x0007289b, 0x9d8b2b1e, 0x4632f9bf, 0x380fa57d,
+    0xc36af977, 0xd0da2ac2, 0xe704bab4, 0x07c30266, 0xb85bb960, 0xf2cfa2c0, 0xdca42a19, 0xb46e266a,
+    0x9378edca, 0x448e1790, 0xacaa8e3f, 0x922ee204, 0x7284fde7, 0xbac7c6da, 0x43941d43, 0x8874b4b1,
+    0xdece1c0d, 0x93c8d7e3, 0x7b250a8f, 0xfb3651bb, 0x6803b7f5, 0x375debda, 0x8cd5aa11, 0x80bab5c6,
+    0x37e57916, 0xe3fd19cc, 0xfc6e0904, 0xe86e0b0c, 0x9372e5d8, 0x8777bb83, 0x0f74ecad, 0x96dcaf15,
+    0x57a8fc42, 0xb063ec22, 0x103f85ab, 0xe27e464a, 0x5a375dac, 0x0cc597cb, 0x60adc389, 0x77832f03,
+    0xb9d39e18, 0xf987789d, 0x44270054, 0x1d366c74, 0x4652cbdc, 0xd35fa237, 0x6c3dd50a, 0x3c151b34,
+    0x7634e0a7, 0x1f8fbb8f, 0x94132c30, 0x57aa6618, 0x8a65cc76, 0x0dda6014, 0x95d991c1, 0xb15be812,
+    0x795de606, 0xc41f22e7, 0xe4f84cc8, 0x90892fb5, 0x8a39d598, 0xfe5ce25e, 0xa5552c0d, 0x7838cc51,
+    0x87e7eeae, 0x04219290, 0x3123a3fa, 0xd4834b0b, 0x9c3bb2f4, 0x4b791835, 0x96f05aa2, 0x6266e0db,
+    0xad435291, 0x96473aed, 0x3bf3ba9b, 0x55ae8e36, 0xef3d2b8f, 0xd0d29521, 0x60e2a89f, 0x75bf985d,
+    0x49d4f4e6, 0xd28c1244, 0xf22483b4, 0x9a360ea9, 0xb9cfb0ea, 0x4c208f81, 0xf5a79ee6, 0xaddefad6,
+    0xde5f8662, 0x989330ae, 0xdd459853, 0x07eaf385, 0xa0f7d3bc, 0x31fe6b42, 0x2472be32, 0xfa8ca8f4,
+    0x5a7bfdc6, 0x02c3ead9, 0x5a9d2b48, 0xc448714e, 0x470af04c, 0xf8bae25d, 0xbea5baa7, 0x9ebc361d,
+    0x24b70290, 0x739f9f67, 0x1eea5d91, 0x0f23c449, 0x0ef9dcc5, 0x3a7c9577, 0xaf401270, 0xeec533ad,
+    0xa6559fae, 0x56b423ea, 0x573b93c7, 0x33a0d944, 0x73d77ba1, 0x453f3ace, 0x786df06b, 0x1bfa7cfd,
+    0x93443d5e, 0x5ad2d49b, 0x9fb42a68, 0x85d6c237, 0xe1620591, 0x89945fc2, 0x330e1ced, 0x69c47be1,
+    0x0d5e00db, 0x0488fcb2, 0x896d9900, 0x4be02df0, 0x1446b5af, 0x015ac72e, 0x24ec3761, 0x6c79bd11,
+    0x00576a9c, 0x987ef994, 0xabc2fd26, 0xc4897277, 0x12f97b22, 0x41b41225, 0xa04729ba, 0x366aed9f,
+    0x19a13187, 0x3376e0fa, 0x827ffbf6, 0xa1fb00ba, 0x052c5357, 0x8b4422c7, 0x66fd709f, 0xe89c6bff,
+    0xc7c1cf79, 0x8839f177, 0x1a589feb, 0xc82b2bd6, 0xa1c5491b, 0xe3e712f8, 0xb754b7ac, 0x4fe896d6,
+    0x265d01d2, 0x584f956a, 0xb374593b, 0xe21a8ef2, 0x38eb39a4, 0xfd1a56a3, 0x289ec3c0, 0x1a51ab15,
+    0xeac8412b, 0xc094d6ae, 0xbe0bae52, 0xe7085049, 0x5d3e8254, 0x5d1d75a1, 0xee70f615, 0xeb2014f5,
+    0x1eadb9a9, 0xf8a6bf45, 0x9ebba19e, 0xd3816af0, 0x283b9acc, 0xbc8978d9, 0xcaaf54f1, 0xb19f1152,
+    0xa2576c75, 0x6d3dc356, 0x2a4be761, 0xbc238ddc, 0x780bdbab, 0x94a4e8fb, 0x28e1d360, 0xb67e0e24,
+    0x6a4a8e0a, 0x159dd2ab, 0x3876592c, 0x9c2e3f2c, 0x0ab26d66, 0x65158899, 0xc36cd3e4, 0x120ce4d6,
+    0x82173456, 0xbaaa6bce, 0xdb1ca664, 0xfb9a6135, 0x486f0fb1, 0x0e954108, 0x2fd0ec75, 0xa85514a6,
+    0x83b03291, 0x4dc3f0bc, 0x880134ce, 0x5f77f189, 0x0cd64422, 0x6420ea2c, 0xcf9185e5, 0x08751cfa,
+    0xbf105c27, 0xa7b77a56, 0x75a0c84d, 0x21983c75, 0x9d94eb66, 0x0d3d2107, 0x2d816019, 0x707c86f3,
+    0x0cf43568, 0xbdbb03de, 0x123eb834, 0xfe6c97bb, 0x98ab9eaa, 0x374d853d, 0xa2913eaf, 0xfb9528b1,
+    0xdc8235f5, 0x8d9d32c5, 0x69a8d57c, 0x1f25fe5b, 0xa99b3854, 0x6eca47c5, 0x2dd28c53, 0x9d45a40f,
+    0xd7921df9, 0xe13bfa76, 0xc7ac5cd5, 0x0a24e3fe, 0x87360a15, 0xfe0d085a, 0x0dcea688, 0x457e0020,
+    0x4360226b, 0x8cac2083, 0x1bf20812, 0x3a9cf4ef, 0x767b354b, 0x3aefca7b, 0x0df800cf, 0x00faf47a,
+    0xcd8be88a, 0x32f22868, 0xa9cea396, 0xdf8df6f1, 0xdbc0437d, 0x13511ca8, 0xa1415c8b, 0xd8c2f298,
+    0xfa891a8f, 0xe9031d58, 0xea74eb60, 0xafce4bae, 0xd667afbf, 0x28a2c024, 0x2859bae9, 0x9e12b1fe,
+    0x26ade99f, 0x39ee90c4, 0x0f00211e, 0x1f50235d, 0xc9362084, 0x69693e78, 0x459c9d1d, 0x2cbdb127,
+    0x060346e5, 0xc00c9796, 0x5da97f6d, 0x40250489, 0x5603d128, 0xf74c3e67, 0x690f3bdc, 0x1f89f464,
+    0x03f7f6e1, 0xde052458, 0x01bddbba, 0xf4bbf728, 0x891d40ee, 0x1b99fc72, 0x6e4da6fc, 0xbe48ce6b,
+    0x34dbbb4a, 0xbfc2b3dd, 0xa824dbcf, 0x562daa18, 0x26dfc09f, 0x88d77439, 0x58ef76a7, 0x4a20c386,
+    0xc658d9e7, 0x988ab037, 0x9daa0af5, 0x281a25ac, 0xbd47fe61, 0x7b2a8408, 0x6cabf94b, 0x14e6a183,
+    0x95b04243, 0x11336ec1, 0xb1ce0113, 0x42cafee9, 0xba1df9c7, 0x10df89ca, 0x82af07a3, 0x6fc884f8,
+    0xb3069e4c, 0xf6223416, 0xa8e57c6a, 0x3e7fbb5c, 0xe5b11e31, 0x3c0cb988, 0x72d04538, 0xbbe90b5c,
+    0x03d70d1a, 0xd0ec980c, 0x50790ace, 0xf1576a38, 0x77d54576, 0x644f4be8, 0xe4b3be97, 0x28747a1d,
+    0x235389b4, 0xbc4823cd, 0xfa78d4f5, 0x561246ed, 0xe93ed587, 0x29fc2645, 0xc053796d, 0xcc2349fb,
+    0x1b24fd0f, 0xc9db705d, 0xb246e896, 0xf231af02, 0x0955836c, 0x1494a54e, 0x80bd075f, 0xef120736,
+    0x1c93261e, 0x71a8f73d, 0x19bccfa3, 0x0c2f7625, 0x048c1393, 0x753ce181, 0xc24fd178, 0x0cc348ae,
+    0xed0769a5, 0x3c640434, 0x26b494a0, 0x31c1d868, 0xd724089f, 0xd37427ba, 0xfcb43389, 0x269d358e,
+    0x85b60cca, 0x7cb89363, 0x53b9b9db, 0x8495c6a5, 0xcb14c93e, 0x9f7d5efc, 0x04f6644a, 0xb2387817,
+    0x6d9cac2d, 0xf0144d9c, 0x3b0ec3a2, 0x42120d04, 0x183b14ba, 0x65feabba, 0x3834e2f6, 0x6c25dd2e,
+    0x84564001, 0xc3160f29, 0xd216506a, 0x98b94d59, 0x1957356f, 0x9578ab6f, 0x8fc6e0b8, 0x6465a474,
+    0xcfcdac42, 0xa9df22bb, 0xbbdb7c3d, 0xfdd9f10b, 0xb95fbdf3, 0xa273dfaa, 0xa74010f7, 0x4349502d,
+    0xedcd8e68, 0xc39e8d4e, 0x0b12cf0f, 0x0bd37d99, 0x0b151d5a, 0x13c938c8, 0x4fc5ffcf, 0x73b58878,
+    0x5980b835, 0x44834d7f, 0x008af049, 0x663a4ab5, 0xc77f6933, 0xfdb5e123, 0x21d03f40, 0x4f075d68,
+    0x568fc752, 0x6d399438, 0xc689f487, 0x26050d15, 0xae3f2001, 0x97287dd0, 0x445910e5, 0xf33e3fae,
+    0xd7c440c2, 0xef7d48e6, 0x740da37d, 0x43d7e053, 0x31ac69f1, 0x7ee232c1, 0xde63aae0, 0xaa948a59,
+    0x75621af0, 0x0425f1e6, 0xaf31ec3e, 0x280f5765, 0xc300bb34, 0x7fd27bcc, 0x199d60e5, 0x24c1a38c,
+    0xd583512d, 0x45bfc58b, 0xad636578, 0x4044636a, 0x0dd8e145, 0x696c480b, 0x27282562, 0x7ab82c07,
+    0x420f0b44, 0x80eee66d, 0x4bae6ee5, 0xaf40e849, 0xd8876470, 0xc79f3cf3, 0xb3b4ec02, 0x942ba7c5,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000005708990770823839524233143877797980545530986496 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a049, 0x664d2753,
+    0x00000000,
+    0x813dd026, 0xaa6d68ca, 0xeb0b3235, 0xd6387938, 0x921bd899, 0xd74e0677, 0x12877322, 0x2d3058f2,
+    0x7df90888, 0xf70f13b5, 0xbe823b3b, 0x89fe2a0e, 0x6810d9b9, 0x69560f02, 0x3671eda0, 0x3783d007,
+    0x0f27dbc9, 0x6347163c, 0x8f326fec, 0xfc8470db, 0x99febd4d, 0x9f3353d8, 0x644ed07e, 0x27e33a3b,
+    0xfae22227, 0x16328be2, 0xd71be1a1, 0x9403defc, 0xe44de619, 0xa710da42, 0x0b0fa3fb, 0xea85386f,
+    0x898fd8ca, 0xd9935608, 0xca0ba851, 0x334edffe, 0xcefc13cd, 0x10314166, 0x4d0bb598, 0xad4f386a,
+    0xa769de28, 0x104dd664, 0xfbc15647, 0x5da9e365, 0xa202881b, 0xec3e271e, 0x02722d2e, 0x4fd64e16,
+    0x8cb47615, 0x17888662, 0x2df23497, 0xfb5b458f, 0xef0df3d1, 0x38bf925d, 0x3ec516ef, 0x0b9dc451,
+    0x97bab0a5, 0xd58984d1, 0x38ca34ad, 0xf77e45d8, 0x30bdee56, 0xa0f9cd93, 0x7658d618, 0x3759c69c,
+    0x72442444, 0x04196fbb, 0x038e2dad, 0x715fb0c3, 0x876b8412, 0xae24ea82, 0x857c2e0c, 0x703ad786,
+    0xa9404a67, 0x695b1a84, 0x45af2921, 0xf307988a, 0x30bd7178, 0xc52c48bb, 0x737bab51, 0x1606fe2d,
+    0x9921f1c9, 0xe8327075, 0xff472e44, 0x6bd95b07, 0x0f4c959d, 0xa81df45b, 0xed64a12d, 0x8c43974e,
+    0x4a53ac4a, 0x6568bb58, 0x251ac343, 0x730031b3, 0x8831b5a9, 0x60ed5fdd, 0x24f3189f, 0xf866d313,
+    0xc5f02928, 0x153ba9e6, 0x72c9f344, 0x14990745, 0xc27442ab, 0xc628b983, 0x25f15b94, 0x8ee3aa80,
+    0x4d489c6e, 0x6d3dd95c, 0x6a83048a, 0x71d3a2bc, 0xc7433bc1, 0x22401b0a, 0x9916dd5a, 0x8ddf0ece,
+    0xc624e342, 0xaec30a0a, 0x4e006825, 0x6d624b3a, 0x15782937, 0x3c89c077, 0xe8fd67f9, 0x20462e1d,
+    0xa41bad6b, 0x5b8991bc, 0xd5696096, 0x43ff415f, 0xe60f0f93, 0xdd2f198a, 0xb38d3e0b, 0x94225131,
+    0x9e838662, 0x320f4e5b, 0xa4acbff2, 0x7580f675, 0x01d8adf9, 0x9ae382c8, 0x9d44a6c7, 0x2af5b04f,
+    0xef8bedca, 0x7ccfa17e, 0xbde43ea9, 0xa9ac2b7e, 0x69842584, 0x45d87dc9, 0x329caf9a, 0x03074a68,
+    0x0b3764cb, 0x2e05622b, 0x45c5e6e8, 0x1aab480d, 0x3725047f, 0x94da8994, 0xfa818733, 0xe93c9b24,
+    0xd447b3ec, 0x48b6cb2b, 0xb0bd0f01, 0x31e9634e, 0x6d02aa4b, 0xde8982e5, 0x4531a9b0, 0x478594b9,
+    0x87968f4d, 0x84d18c3f, 0xd3f92f95, 0xe6fa21ad, 0x4031fc10, 0xa6bcb26c, 0x06124ce3, 0x544ce259,
+    0x31f8e912, 0xd283bf4e, 0x3ba8bfc7, 0xfb197a0e, 0x67ece6cb, 0x68e3d982, 0x7b57057d, 0xb358fe73,
+    0xd7a0bb8c, 0xe7f20743, 0x57b800ee, 0x1a7483d4, 0x4a5f9f10, 0x3ab1a01d, 0xc2f85a46, 0x60eef090,
+    0xd9fdc6aa, 0x0fd86d24, 0x4867bf6c, 0x4072b178, 0x7e697be1, 0xb8709c79, 0x20343c41, 0xfbc43061,
+    0x37294be3, 0x2afee6d3, 0xd8825edb, 0x4e67d4d9, 0xb927f765, 0xf237bbc5, 0xb4967c67, 0x91ee9abb,
+    0x40d36ea3, 0xef6d6046, 0xddddb758, 0xad85c44c, 0xcbb8ff31, 0xd13b53be, 0xd89ebde1, 0x7e9a2cc2,
+    0x26b20e5b, 0x9a235805, 0x733af1e8, 0xf472368a, 0x36aa75f5, 0xe9e419e2, 0x0238f3ff, 0x5c4fa258,
+    0x99f8c9f1, 0x3d24a2e1, 0x70fa3c03, 0x5702adb8, 0x4d90795c, 0x9e4f8c00, 0x20c15e41, 0x82961f62,
+    0x0860d836, 0x0775decb, 0x5c495e61, 0xb96bef23, 0x629a71c5, 0x26f9a06a, 0x3057de1d, 0xe8c088cb,
+    0xfddaecce, 0xfbd076d0, 0xb6785176, 0xccd5fa6a, 0x08f511c3, 0xf4747088, 0x3fe60b1f, 0xce6fe888,
+    0x809cd25a, 0x585f7db5, 0x716ff084, 0xd4c4daee, 0x97ad56d3, 0x4304db53, 0x9b406a88, 0x43ab4a4d,
+    0xb43efe38, 0x6d0c2442, 0xa0b62c02, 0x9fbdd76b, 0x2dea69da, 0x123d6c45, 0x073cd7d8, 0xafd7fad3,
+    0x505bca5f, 0x0e5b5164, 0x671496ad, 0x48691bc4, 0xe32baf13, 0x6c95a695, 0xb1e04539, 0xdf31cb61,
+    0xed5f1f7a, 0xa7bd2359, 0x045f63e1, 0xe2fc6793, 0x848e1c9c, 0x7c750832, 0x3ddf7751, 0x8d9ad52c,
+    0xb026219b, 0x133e0b36, 0xb4ee6c8a, 0x8876cd21, 0x561ba75e, 0x259a9fb4, 0x9d0a457c, 0x2d99d5db,
+    0x92c52b6a, 0x1f111522, 0xf8c1d8a1, 0xf4b270d1, 0xdabafb03, 0x84ef9f10, 0x37608b9c, 0xf812b86b,
+    0x8d3d6d2f, 0xb72f5369, 0x21e61849, 0x3197aa74, 0x2233f667, 0xd847b526, 0xa1f30ae0, 0xd639562c,
+    0xee2be263, 0x9ad31e22, 0xab91a263, 0x10aa3cbe, 0x343cedb0, 0x0702eb6d, 0x25a33249, 0x642c5043,
+    0xa3db5bfe, 0x0c9cd310, 0xfd34d07a, 0xd3295201, 0x14adbb62, 0x81f46e8a, 0xf0369977, 0x8acbad07,
+    0xb9c2c1fc, 0x2b1654bc, 0x629993ed, 0x8a83c49d, 0xcc643255, 0xc378d2a5, 0xa651f80c, 0xa32cdcf7,
+    0xe767bbee, 0x6d8f8057, 0xf4597810, 0x6de9f22f, 0x9f4d8d51, 0x69f4a604, 0xb8dc7bb7, 0x000d04a4,
+    0x60852159, 0x74e45b68, 0x545880f4, 0x5f81cb04, 0xcc09068c, 0x413954e9, 0xc0617626, 0x2ba8b607,
+    0x42dcecfa, 0xfa443c11, 0xacc082e3, 0xabdf7d9f, 0x760141f4, 0x2ece0439, 0x32b14f82, 0xe02d871c,
+    0xeee8cdd2, 0xabd769fd, 0xabe274ec, 0x00e32789, 0xb85330c7, 0x5e3aa1c8, 0x90a0e16b, 0xd960af61,
+    0x954603fa, 0x5e725b6d, 0xf7bdaddf, 0x570ed419, 0x5c04a9f7, 0xbb831df4, 0xc084e512, 0x0a4ea6b5,
+    0xc3daccec, 0x27b23747, 0xa76f1ec8, 0xb1d19070, 0x7721d3dd, 0x58d70c91, 0x278a3d39, 0x10e37073,
+    0xd17a9d2a, 0xadba3355, 0x7a844270, 0x7db95593, 0x22521a13, 0x84f8b535, 0x725edc19, 0xba2a105c,
+    0x9733223d, 0xe7824d6f, 0xbeb37d5e, 0x9cf73528, 0x38322bf2, 0xff979a71, 0x2abc5351, 0x4dc36e70,
+    0x87516ac6, 0x4b00c0a1, 0xc69c4cf0, 0x2c256310, 0x0313e351, 0x6ee4392a, 0xbf966636, 0xb1f9a6b9,
+    0x708a25e5, 0x478d8f8d, 0xa862df13, 0x02aeab1d, 0x1a753fe0, 0xca5d833e, 0x396f36a9, 0x64cf349e,
+    0xc38beda5, 0xaf6cfd90, 0x58c772c8, 0x33b4af5b, 0x21dd5e4e, 0x4a2ea1c1, 0xf091b02d, 0xe9649633,
+    0x262773ef, 0x74f2f009, 0xf6fbe031, 0xf42f4457, 0xac2d5bae, 0xec8e3ab7, 0x8537cdf2, 0xc1274e9d,
+    0xac76955c, 0xdd8925e7, 0x60063f21, 0x6fff338d, 0x078c3c89, 0x1c7e7b82, 0xe2b6563d, 0x58aa02fd,
+    0x5e3347aa, 0x65c7435d, 0x7d446d77, 0xeb9f9da0, 0x833ca7b0, 0xe748f67b, 0x1864126a, 0x7ff9c98f,
+    0xbca98466, 0x69e76418, 0x865a2283, 0x1b096822, 0x9fe5d036, 0x56a9a2ef, 0x4545fdd9, 0x979757a4,
+    0x38e9e0b3, 0x57d04990, 0xe8bf35e0, 0x0dd903fd, 0xb5269dbe, 0x836d630b, 0xa0d1b8d0, 0xe95bfd3a,
+    0x83147d91, 0xfbad8907, 0xa369a600, 0x42af6bb7, 0x49809313, 0x3c550f0c, 0x63c3c6c5, 0xc5ee21c4,
+    0x9d64c673, 0x5b450a13, 0xae1e42ee, 0x43bb372b, 0xc796d3cc, 0x1d0fbdf6, 0xea5a8c1c, 0xaccf398a,
+    0x7c4a6bf2, 0x2d6e932e, 0xd0514a5a, 0xa98411a6, 0xb7656cf3, 0xdadc73bc, 0x3eddfecc, 0x4b3f3d3e,
+    0x38d4bee3, 0xd5e760f3, 0x9ffb29cb, 0x45bd0605, 0xc421ae75, 0x33871463, 0xc23ec2c7, 0x9389b528,
+    0x65365096, 0xdc908898, 0xa8747e8d, 0x9d6cbbae, 0xa7ff2d4f, 0xceb5cddf, 0x306f1988, 0xf1c86fae,
+    0x1186df14, 0xc37e149f, 0xb4a085ad, 0x1f7e2dfd, 0x9c0867e0, 0x4f2e8839, 0x43f67fd9, 0x49f7eeb1,
+    0xa6eb0e1e, 0xb5c4ba0d, 0xabf3ab14, 0x6a088f40, 0x4989f318, 0xc658e0a9, 0xd5591a23, 0xe53fd6ad,
+    0x25343ae3, 0x91efa649, 0xbafaec50, 0x0f9ecca3, 0xe5490ef5, 0x6c01536d, 0x2cf4a54e, 0x13562278,
+    0xc2ce1d52, 0x740c8f03, 0xb8b94134, 0x9fc62098, 0xbea6e202, 0x2e99b96a, 0x6f73b771, 0xc28cf1e3,
+    0x2c88f9b4, 0x56425763, 0x2ec65a3e, 0x5d21bca5, 0xaa59e199, 0xacade26f, 0x18818c87, 0x79a2090d,
+    0xfe813147, 0x08463075, 0x791282c1, 0x3cb438e1, 0x8c62a980, 0xbc69c0ec, 0x6d865710, 0x1238d3ab,
+    0x1de0798f, 0xd9f774db, 0x2b72f8c3, 0xbe4e8540, 0x351bc601, 0xf14ac977, 0x2fae3843, 0x917b2562,
+    0x7f036f63, 0xfa1aba22, 0xa83c3bcd, 0x2541e790, 0x634f9c73, 0x12579c7e, 0xf54ce902, 0x4006fea1,
+    0xb3b4ca48, 0xeee7e64e, 0xb26421da, 0xf94163ea, 0xebf996ea, 0xa70263f9, 0xa3874c97, 0x23866fa9,
+    0xbd884ced, 0x89900861, 0x9c50012d, 0x648badd0, 0x1acdccbe, 0x89f00543, 0xf5bcd246, 0x1247d8c5,
+    0xf3fbc874, 0xc3070ae6, 0x74e250f4, 0x2ba7adca, 0x58c2c1fc, 0x0f2d0159, 0x8bd64334, 0x23b8d398,
+    0x1f40ed55, 0x2e251f7e, 0x2e4dbb2b, 0x4c352032, 0xb1607299, 0x02b145ac, 0xb38df943, 0x95bd8092,
+    0xbb3d0b4c, 0xc9333bf0, 0x0399bdb6, 0x23131797, 0x06f11c71, 0xc140159e, 0x571bc2c1, 0x3dd53b4a,
+    0x264fecbc, 0x6c7c63ef, 0x0c660fc6, 0xe001ebd7, 0x622d6edd, 0xae032070, 0xc7b911cc, 0xe7d7d896,
+    0x4860c0bd, 0xd4b9e1f0, 0x5e877900, 0xc2584439, 0xe63af08f, 0xe6bb4b7b, 0x8f4bed2d, 0x05bc956a,
+    0x3f7c519b, 0xa8c2268b, 0x31b2f19c, 0x969a3f1d, 0xaccfbe8f, 0x6802bb71, 0x4bb7d68a, 0x4750c193,
+    0x864282ad, 0xa47545be, 0x3cdb9ff8, 0xda879576, 0x03476ca0, 0xde260708, 0xcfc21ea8, 0xd110590c,
+    0x5d356588, 0x4440dd06, 0xaab38910, 0xec3dafa8, 0x24130480, 0x36f55a1b, 0x6f5565f3, 0x866dbf03,
+    0xc3623e37, 0x3c25cb8e, 0x19e312b6, 0x4f4198d0, 0x8ca7bed6, 0x82b45b4d, 0x987a5275, 0x195cc47f,
+    0x11d6abd6, 0xd3fa829c, 0x1bcc4c77, 0x6422d43d, 0xb238372a, 0x3754303c, 0x774b945e, 0xaf3be454,
+    0x3859278e, 0x2af720cb, 0xdc9c543e, 0x90099679, 0x95679c82, 0xee644c88, 0x159c74e1, 0xb746bea0,
+    0x097831df, 0xd7a1cd11, 0x6abe3845, 0x09d361a7, 0x659e6da7, 0xc49f1db2, 0x7a458145, 0x7a36e0e9,
+    0xb43d6a75, 0x1541c629, 0x4875b1f0, 0xc8bead8e, 0x5958f98c, 0xee6e73f2, 0x7819f98e, 0x266c8bc9,
+    0xd038186b, 0x4a362d42, 0x343a50ee, 0x2c87dc63, 0xb18ec9b2, 0x80a81b46, 0x625f7037, 0x6588418f,
+    0x4b2d979c, 0xa230ad8e, 0x68674937, 0x7d188667, 0x92a9d822, 0xb24d10c4, 0xe3c9943d, 0x78b7f70d,
+    0x644eceec, 0xd83ad100, 0xd216df20, 0x89aa31ca, 0x570a550e, 0x3816175f, 0x2baea7a6, 0x78e005f4,
+    0x53e29495, 0xd4ae6913, 0x49cfd015, 0xc9d6c914, 0xd37f5e62, 0xa8b5df73, 0x54f4346d, 0xd8e15e56,
+    0x1c211929, 0xda46f940, 0xbd7ac861, 0x48611b4d, 0xdf1f2c09, 0x8230dbc7, 0x5d69071f, 0xac3038fa,
+    0xad783ebe, 0x2b0c79d9, 0xeed9479e, 0x889f90ee, 0xba28acad, 0x51117d18, 0x9cabe910, 0x37f6dc1b,
+    0x01ff350a, 0x67704235, 0x7c384caf, 0x795f0f9b, 0x2a5ce9ed, 0x0d439fdf, 0x84ecb81b, 0xbad2f36a,
+    0xd02d090a, 0xd7f82977, 0x6940fbcb, 0x2fba5c41, 0xbd1dc962, 0x3a28b9d4, 0x6c29d41d, 0x9637ba94,
+    0xfb467531, 0xcf4b3dcd, 0x85ca9d20, 0x9963648c, 0xf3656694, 0xea1a2767, 0x27a36c5e, 0x12179312,
+    0x8fc3ca85, 0x684da772, 0x33fc1568, 0xc733c22f, 0x91cfee71, 0xe1c72565, 0xa5379058, 0xf73fb686,
+    0x18c00163, 0xb4dfb677, 0xc43febbe, 0x1c560bf3, 0xf7749d6e, 0xe492afb2, 0xc9dc7e25, 0xb76cb635,
+    0x5b9db9c9, 0xba97c94b, 0x36ef0546, 0x7f83f131, 0x3fa347d1, 0xc2e2b259, 0x67f255f6, 0x9857e14b,
+    0x3f5449d8, 0xf97f886f, 0xf46ee9e1, 0x9c961bf0, 0x26fa331d, 0xaa5d8d1f, 0x4928ade6, 0xddb3bb9a,
+    0x0b03a972, 0xe8d56a2a, 0x8083180a, 0xa7679174, 0x5f36a99d, 0x303c9232, 0x266dba2f, 0xe83b5fc7,
+    0xf6408be1, 0xe2b1e16a, 0xbb138b2f, 0xa6ad0c8f, 0x82f4def7, 0x18f3e00d, 0xfcdba22d, 0xb438a1c9,
+    0x7dea2667, 0x3fdd80fb, 0xfa3cc242, 0x4135f067, 0xd30f8b01, 0x0be74857, 0x31bc666e, 0x9e677ab7,
+    0xa7b40f69, 0x0e24e7ec, 0x924c5271, 0xd260b981, 0x75a35b31, 0x2a1a1310, 0xe229e976, 0x1eb72574,
+    0xb60f5cf1, 0xbc4ddb4b, 0xa45741dd, 0xe6b5d17d, 0x4449f78d, 0x96d9c221, 0x44dcbc1c, 0x90c01c75,
+    0xd84aabab, 0xed5391a9, 0x062d3a67, 0x6325265e, 0xbd9eb4b8, 0x7436d9d6, 0x8aa8bd6e, 0xa4e87b8d,
+    0xe4c48b5f, 0xf9c3cb74, 0x868abee1, 0x0eb16e50, 0xb625a32e, 0x27a0d76f, 0xa8468710, 0xf4695b60,
+    0x94c9b64b, 0xbdedaf8d, 0x35b00bb7, 0x04632ef2, 0xc2cb88cf, 0xb08c31ca, 0x5affbe83, 0x5504653c,
+    0x32d5882b, 0x9fa41f1b, 0x84ebfabd, 0xda07551b, 0x00da7a86, 0x3c6585e9, 0xe04cc773, 0x79f27241,
+    0x7643defc, 0xf1c71a72, 0x930078d0, 0xf57f6c34, 0x47f9c863, 0xc1c99c44, 0xa189a0d9, 0xff55791d,
+    0xa961814f, 0xecbb938d, 0x073ec713, 0xc026424b, 0x93d07c5a, 0x57b1a3ff, 0x4ab91280, 0x81e6079b,
+    0x5c462a82, 0xcca285c1, 0xea9a49c4, 0x246fd104, 0xcf1f6070, 0x3c9a7aa8, 0x115743c7, 0x99300dc6,
+    0x44b707a9, 0x25c014e6, 0x045fbb39, 0x3a7b7acd, 0xfc288dd7, 0x61384e34, 0xc03625b4, 0x05a0f784,
+    0xfb4cb726, 0x111551d0, 0x9e6390f6, 0x1ad353b1, 0x7dc9a212, 0x91aad749, 0xafb8ed04, 0xf039a1d3,
+    0xaf58e07d, 0x09d05a27, 0x0f4ecbfe, 0x6ee5952c, 0xa4cec6d2, 0x257e86c8, 0xc096fb68, 0xffbc563f,
+    0xb2a93bc8, 0x440344c7, 0xb2080aaa, 0x70aa0a5f, 0xd3b10001, 0x7f812215, 0x63621427, 0xbdb98eeb,
+    0x3271bbfd, 0x53676333, 0x49dcb1dd, 0x263af809, 0x55d6129e, 0x0129c9bc, 0xcf7d6d1a, 0x122fbb5d,
+    0xe5d18210, 0xf35d8f67, 0x08c425f9, 0x3d354f26, 0xce1e55d0, 0xc3b55e90, 0xaa5d5456, 0x05d0f73c,
+    0xa9580be0, 0xd5f3efcc, 0x93d8dfe3, 0xc03d5d60, 0x92aa8031, 0x0d730c99, 0xc850f916, 0xe7115e9d,
+    0x94319751, 0x5fa480a6, 0x90dd3e3a, 0x65958ece, 0xc9d8c448, 0xc9107e98, 0x91b03b2b, 0x003b52e3,
+    0x427af7a7, 0x6e221f60, 0x47d94067, 0x424ad617, 0x71205777, 0xd0efad3a, 0x507fcdaa, 0x4870e4fc,
+    0x1f6cba0f, 0xb1a674d8, 0xf48a2d43, 0xb5f9c4e4, 0xcd54bae4, 0x493400c9, 0x63eff4b1, 0x6d6f939e,
+    0xf532b7c1, 0xc68f0989, 0x84d04171, 0xa8b0a12e, 0x8667a691, 0xa23b4dc6, 0xd2865cc4, 0x514a808d,
+    0x2100fe56, 0xca8ba9aa, 0xd57f5e0f, 0xef337708, 0x5cd2fc87, 0xbc4d62f9, 0x7403e2d2, 0x0e16ee28,
+    0x9cba7ece, 0x2ed28e27, 0xc2e394eb, 0x64022e0b, 0x4ac5ec87, 0x65b66637, 0x9b1ef4a3, 0x2bb55fc4,
+    0x5771e5ed, 0xb1e9cbd6, 0xc24f5b4a, 0x1f6f01e6, 0x96904742, 0xc271b4a5, 0xa3a36ee8, 0xefc03c80,
+    0x60ae1946, 0x70066046, 0x40c74759, 0x22a3ba4d, 0x1d81a09e, 0x192f24f3, 0x4d38775c, 0xbc342e4d,
+    0x998fca0b, 0x4a8ec3bf, 0x09e584d9, 0xfeaee43a, 0x8beb480b, 0x94c95b0e, 0x8c28dd28, 0x1ff263cc,
+    0x48a750fb, 0xf1722076, 0xdfde22ed, 0x1cd3c00b, 0xbe999632, 0x05232e82, 0xfbf89288, 0x5e9c51cd,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000002854495385411919762116571938898990272765493248 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25024, 0xb32693a9,
+    0x00000000,
+    0x809e85e9, 0xc29dc000, 0xb40ba627, 0xd853cdab, 0x64a2b9b1, 0xf6170402, 0x21754c57, 0x40c1e972,
+    0xc9986562, 0xddb8efc2, 0x2568cdf1, 0x779f3a16, 0xf9394029, 0xcddbadb2, 0x584993fc, 0xd30b327a,
+    0xac8b4681, 0xe340f060, 0xf937dce5, 0xff0d22e8, 0x053995cf, 0x8bec8edf, 0xd2c4e2ed, 0x14ad5491,
+    0x549434ed, 0xe7660f8d, 0xf1cdf434, 0xcc7caef0, 0x8c213925, 0xc433b399, 0x480c54bb, 0xbf462111,
+    0xb89352dc, 0x3eef09b1, 0xc7244019, 0xd26ef5ec, 0x7ec30167, 0x6933dc43, 0x5ae49842, 0x4c8f4f3e,
+    0x54d23dc0, 0xcf4aec61, 0xfaf67d6a, 0xddc3d43b, 0x5a4bbb41, 0x34649887, 0x081fae56, 0x3e722674,
+    0x69c8348d, 0x6f296103, 0x81cc3e3c, 0x17af0a83, 0x3827fd80, 0x226bb4d1, 0x2b3a32c0, 0x6f097402,
+    0x426cea1e, 0xda367c20, 0x3d617f90, 0x17e6af31, 0x91854207, 0x618a58a2, 0x652ca7bc, 0xb550d7f9,
+    0xe906dc35, 0xb8be7a07, 0x8844fd03, 0x32e7b807, 0x26b2c63a, 0xab0ef5d4, 0x1ab14696, 0xc374e078,
+    0x626314e4, 0x370a6c15, 0x5af6a372, 0x87c3a142, 0xc9872c98, 0xed4e3701, 0x12ccd5b7, 0x5b702d7a,
+    0xe156b56c, 0xa70917c9, 0xdbd69755, 0xcf0a9935, 0xb3988cd4, 0xcb7b4e92, 0xec6ca531, 0x19801af3,
+    0x027019d0, 0x8f440b51, 0x988c7b02, 0x1ae7b046, 0x84468922, 0x4264538d, 0x95545065, 0xfb02f80d,
+    0x066e14a6, 0x48a89a77, 0x6da7829c, 0x7e154811, 0xd29ebabb, 0x4a3dee4f, 0x285494e0, 0x8fa92009,
+    0x192b9000, 0x70586b9f, 0x1fc6c359, 0x3bfe76eb, 0x9a4ffddb, 0xa8e9a491, 0x28f624ce, 0x9693c61a,
+    0xd03c511c, 0x823e6eb2, 0xd827655a, 0x0d7329c4, 0x91426645, 0x792d5ffb, 0x1e9e8a7b, 0x169181f9,
+    0xb488d8a0, 0x47df2bc3, 0x6a6d046d, 0x42dd2939, 0x3deafb28, 0x0a4fdba3, 0x70c565fe, 0x003f4fd7,
+    0x13d8fee4, 0x3a75f716, 0xc6fdf69b, 0x217a8059, 0xa414105a, 0x2dcc6512, 0xbe0c1d60, 0x2590646e,
+    0xa4783689, 0xaa85a944, 0x594fa89e, 0xb4f30aec, 0x1cc4d3f9, 0xc718884f, 0x6f252a66, 0xea1e62dc,
+    0xed3c8a21, 0x72a71bb1, 0x8793ba05, 0x51440a0d, 0xdc7a08a6, 0x84524455, 0x5dc12a3a, 0x79393ef0,
+    0xcda8e33e, 0x504262d2, 0x6a751331, 0xd7addc9a, 0x226b7608, 0xb85110dd, 0x21418323, 0x4422805d,
+    0x4c5134b4, 0x8bfe0f3c, 0x48199b87, 0x10d40561, 0x91269158, 0x021256ce, 0xaa39f4be, 0x247c0f6f,
+    0xdb69c656, 0x5d8c53e5, 0xfa21689e, 0xb0393149, 0xdb466070, 0x85f0a4f9, 0x8587474d, 0x38811900,
+    0x5a92ecae, 0xd926299e, 0x4db5264d, 0x766ddd0a, 0x582eef93, 0x445f616b, 0x4e43912f, 0x9a5810e8,
+    0x3dc5a61c, 0x72a0ea5a, 0x68b05299, 0x41338fee, 0xd47221cc, 0x06a3fc32, 0xcde12909, 0xa2527728,
+    0x94864e6e, 0x88bfea84, 0x2d5f2c32, 0xdd07b056, 0xe5222fdb, 0x5519e301, 0x39af661b, 0xb312ebfe,
+    0x947f934b, 0xedb44c05, 0xd66b8480, 0xca75a933, 0x4a033f86, 0x5d93625d, 0x49c1fd9f, 0x4cd301b5,
+    0xe976a2e8, 0x6a1cf4fc, 0xc26e717f, 0x9296051b, 0x5ec7892a, 0xe8405805, 0xa359b664, 0xe14e1d01,
+    0x2c4174fc, 0x5221310f, 0x6dff529a, 0x818ad514, 0xaddbe853, 0x9f45ef13, 0x930d0ab6, 0xc109890b,
+    0x44c3ccc1, 0xca6962bb, 0x398b1226, 0xbf3f9aa7, 0xb427c5af, 0x5fafb4f2, 0xcb0c8de4, 0x9febe89a,
+    0xa87013c7, 0xf7c9d73f, 0x24b2b360, 0x2bb1216c, 0xbdcb8508, 0x0ab6e321, 0x44b9c501, 0x6341a05c,
+    0xbbfd5418, 0xdce31362, 0x21fc79fa, 0x7dc08dc8, 0xa135a6d0, 0xd98600bb, 0xd45de24d, 0xa406cc9e,
+    0x827fbd6f, 0x76ad0bd8, 0x38ebcf5f, 0xb8d5a37e, 0x4e16d9bc, 0x34af3652, 0x1bb979d1, 0xacc67df1,
+    0x3bb30462, 0x458d711a, 0x8c6b87c1, 0x0094fc8a, 0x3f15a08f, 0xe4ae243b, 0x4297f909, 0x79d562bf,
+    0x1541d858, 0x012be3be, 0x5c9de362, 0x11427bb9, 0x851b33b7, 0x000e18b5, 0x6261d820, 0x0e9cf506,
+    0xb8c93ad5, 0x9e066370, 0x0b503e2b, 0xc0ac3a7c, 0xde2de508, 0xe6e97f4f, 0x15119429, 0x14b5bc74,
+    0x5fd879c7, 0x7b16a5bd, 0xda561678, 0x5ef34c5a, 0xde9d783b, 0xcae881db, 0x1ba80b04, 0xe0998348,
+    0xc5bfd469, 0x3e9470e4, 0xc41ffabc, 0xcfa86a3c, 0x77215191, 0x2e0156f3, 0xe06a6de9, 0x50ec04b7,
+    0x7893374d, 0xef6008cd, 0xe314b91b, 0xb721a46d, 0x3b3fe0ba, 0x3924bbd6, 0xddfb4b85, 0xa8048527,
+    0x0c1c653a, 0x6963b341, 0x5f44bb7c, 0x98c79e2d, 0x670e38aa, 0x657930a8, 0xf2e97691, 0x706d53bb,
+    0xb60dfdd7, 0xf7f2b878, 0x88947ff4, 0x43f96073, 0x601d7796, 0xbfd5df34, 0x18aa8dc6, 0x95cef9dd,
+    0xf80ea119, 0x649b869d, 0x6f075715, 0xb948006f, 0x794c4de9, 0xa3cad790, 0xd4ca267f, 0x78d71a33,
+    0x9b309bd4, 0xb1cd6d62, 0x189921fd, 0x5019cd44, 0xca507933, 0xa9e75730, 0x05fc1d89, 0xd75aeac6,
+    0x4fcedd5d, 0xef9d3eaa, 0x528132d3, 0x51f9480e, 0xf4883937, 0xbf1933bb, 0xbcf7f3ca, 0x0cafb3c2,
+    0x078e387f, 0x7539bc53, 0x8ea180ee, 0x1b885bd9, 0x45f95a6c, 0x34475ea1, 0x5866ebbc, 0x9abf31b4,
+    0xb0c01779, 0xdc948b7a, 0x105076d4, 0x61d5931d, 0xc7e420a7, 0x34169dd7, 0xc5f54c02, 0x0816358d,
+    0x5454acb1, 0x63338ab1, 0x93d1e3ee, 0xab45157c, 0x124b51d9, 0x5f257d3a, 0x982cd000, 0x24887e67,
+    0xca9db709, 0x2f36834f, 0x68edb82a, 0xbb69347f, 0xab463c1d, 0xa7632e97, 0x09e0dc61, 0xf2db3777,
+    0xe837f00f, 0x81233a5f, 0x7e4d9d03, 0xfafe3f6f, 0xd64854cb, 0xbd7f16af, 0x370ed9c3, 0x2a1ef8b7,
+    0xd763899d, 0x1f13e141, 0xe8dfd34a, 0x7b991bea, 0x1958c3d3, 0xc1d30cc6, 0xd9a51d32, 0x4d3b961a,
+    0x0e13887f, 0xcf2bb52e, 0xb2b28b35, 0xf63ec626, 0x582aff06, 0x935ce608, 0x633d8dd3, 0x27216f0d,
+    0x5158ee92, 0x2e20ab7e, 0x452424bd, 0x79fe9ddb, 0xe812e0ba, 0x801e07d9, 0x68d2e6ed, 0xfcd2d1d1,
+    0xbdb6ca4e, 0x4db82c91, 0xdba2458b, 0x93acaf7f, 0x017ab33e, 0xfd5a3a91, 0x55c0a3fa, 0xa224914f,
+    0x6438ba10, 0x8ac31f88, 0x281bf3c3, 0x4bc0751a, 0x14fc3178, 0x7ab27336, 0x1399312f, 0xd148bf32,
+    0x488dd7c6, 0xc2bb9723, 0xbd368905, 0xf65ed931, 0xa3543387, 0x6958775c, 0xc72ce439, 0x8acc5745,
+    0xfa39e914, 0x5615ca4f, 0xb109dfcd, 0x5114c0f4, 0x95780274, 0xaedaa0f9, 0xc64c33de, 0x29f3454b,
+    0xd6e85588, 0xf0ae18fb, 0x0107b546, 0xd4b9aa25, 0x784e96b9, 0xa15cf3ad, 0x5e7ca5ed, 0x61194e28,
+    0xa8b7a039, 0xbf0045de, 0x702ea75e, 0x6464f8ca, 0x8fbd594e, 0xf81318ce, 0x1dcce971, 0x5cb4e40a,
+    0xb291dac9, 0xa0ef9895, 0xfc5915a3, 0x38d42991, 0xde159e56, 0xe0ce873a, 0x5900b033, 0x72dfd9b5,
+    0x2f4385fb, 0x086a5166, 0xd8276636, 0x096f742d, 0x8d7f5f44, 0x9d5e4209, 0xe3bd3a3e, 0xf4e3293e,
+    0xe61410c0, 0x7b8c461a, 0x3793b0cd, 0xf8ee9437, 0x0f13df26, 0x35351510, 0xb7c722e0, 0x2de71b07,
+    0xdb550328, 0xd1aa3fd0, 0xf913896c, 0xa0b2c437, 0xc7460340, 0x2aa36035, 0xb2a0f3ab, 0x3b258c1e,
+    0x4a49bd34, 0xcfce2696, 0xa4a29b69, 0x80d40210, 0x117f43c8, 0xde32713c, 0x717a7684, 0x34794156,
+    0x4e770d76, 0xd8b1f70c, 0x4b85ae29, 0x2c032d4c, 0x5189ab63, 0x2c7ad799, 0x0fe71dd3, 0xcabfe03d,
+    0xa3b7151b, 0xe72b14e0, 0xa3ac1907, 0x758f687d, 0xe3c2d7a4, 0x9cda6a79, 0xaba26523, 0xa2e46172,
+    0xfe628505, 0x41eec456, 0x905d6884, 0x190d7b24, 0x0acc3472, 0x491bc5e7, 0x3623cba5, 0x5fb34212,
+    0x7fd20642, 0x3f71a0df, 0x8e1db425, 0x8a6ac1bb, 0xd78ceea0, 0x6d8b2171, 0xe219565e, 0x2a3c76ee,
+    0xfc4b7290, 0x12e29335, 0x7429f897, 0xa00cb37d, 0x2031d8a4, 0xaa24eb2b, 0xe6a48256, 0xc3ed6349,
+    0x2ddc675a, 0x166d1e15, 0x8b15ff64, 0xb77f5ae8, 0xd77cf88b, 0xb84d02f9, 0x323964e4, 0x79a39831,
+    0x1612f6a7, 0x1e79e42a, 0x927963fc, 0x4c02b912, 0xf4bfad8f, 0xe5ecfb5f, 0x87608147, 0x732f7337,
+    0x33715635, 0xd08c944c, 0x4e8077ec, 0x60ffaf8c, 0xef474e69, 0xe89bc672, 0xc26ff635, 0x06e7ae93,
+    0x6de391a9, 0xc100e2d3, 0xecea8fc2, 0x47ccb592, 0x23d8d540, 0x80644f90, 0x5d924643, 0x054fffa7,
+    0x8bd1b6ec, 0x47ed0376, 0x873ec50d, 0x79a84318, 0x93960341, 0xf906e262, 0x1fc26cec, 0xeb92b0a6,
+    0xaf8300b8, 0x3b8aea9f, 0x8a3c5051, 0xd1932fc4, 0x923fc883, 0x3c072f50, 0xe51fc009, 0x43e39731,
+    0x55f01755, 0x00c6c85a, 0xb81f3312, 0x86ad8fe3, 0x0b875c58, 0xa352af55, 0x03dc6648, 0x36706eb4,
+    0x3d610429, 0x0696e05c, 0xa98588fb, 0xff203aa6, 0x8d91a586, 0x2953b988, 0x1e8dc22f, 0xb31c016e,
+    0x361c208a, 0xc4e1f309, 0x47d66902, 0xa5691d93, 0x69699ab3, 0x9ecf205c, 0xb98ff119, 0x3c7b03ed,
+    0x9002220d, 0x994857b3, 0x30d2eabf, 0x03b02c23, 0x1d9a155e, 0xda622d1d, 0x66166cc9, 0x1385f268,
+    0x49916b77, 0xee58403d, 0x2dfaa170, 0x79867661, 0x7b7946e5, 0xa07fbea3, 0x2526b012, 0xbfef04b6,
+    0x4b2e14bf, 0x7af484fd, 0x86117d86, 0xb4e601c6, 0x953a66c7, 0xf6e8ebad, 0x408be0b7, 0xaf669bec,
+    0x94642c73, 0xf8bd3b67, 0x8bf78e66, 0xce201e02, 0x1808a56f, 0x56411943, 0xa6964f27, 0xa4975eb7,
+    0xaefab87e, 0xe8eb6ead, 0xfb4bf13c, 0xead85ed5, 0x20bd85d3, 0xe0ab36f3, 0xcf645653, 0x53cf1a0c,
+    0x8214bef6, 0xfc8e12c3, 0x7fbf1334, 0x98074bf3, 0x224d2264, 0xa6ea1ccb, 0xbb246733, 0xaa04cc65,
+    0x5b212b6c, 0x1cf37615, 0x56bd6acc, 0x0fab70a2, 0x35adf3a6, 0x7604ec8f, 0x2ada4c37, 0x69787cfe,
+    0x981158c4, 0x33dd3ad1, 0x927fa8d2, 0xa519fee1, 0x18d70668, 0xc3dc99e9, 0xc7f11221, 0xcdb472a6,
+    0x3f5137e4, 0xb6a60b75, 0x6e56263a, 0x78c9f996, 0xbd2b53a3, 0xb8dad4de, 0x0a0cfc90, 0x07e75e96,
+    0xa09b67d2, 0xa8ae66b6, 0x9ee90062, 0xecffd698, 0xab91cece, 0x632f3996, 0xb15243ad, 0xcffb5918,
+    0xb7565d0b, 0x69dd0cf9, 0xb5532838, 0x70edaac2, 0x0a612f37, 0xa09caf1c, 0xa1ca84f8, 0x75e82729,
+    0xba69685d, 0xedf77f9b, 0x51ad04fe, 0x3f73f678, 0xf6e05142, 0x7e60dfb4, 0x727923c6, 0x8d1d1bde,
+    0xaf3783bd, 0xb8143fba, 0x37b48161, 0xabeba76a, 0x508ae620, 0x1aafbcc4, 0xde4f8bc7, 0x50b51c3b,
+    0xc5d8b05c, 0x2c181db6, 0x4982af00, 0xd5c29aed, 0x3963f4dd, 0x63246d4f, 0x9012a2ab, 0x216c8482,
+    0xc31a081d, 0x6a1a58a2, 0x1b2037e3, 0x3c93eadb, 0x1dd14c9f, 0x764f8aa0, 0x1cb0c139, 0x7d0298d4,
+    0xe17d2ab2, 0x14b753c8, 0xd4fb0aaf, 0x1263f091, 0x24f86cbf, 0xf1009a06, 0x9708ec25, 0xce745577,
+    0xed15b3c8, 0xfa3e2bf4, 0x2de931bb, 0x5c1d5220, 0xed9ce85e, 0xddb13804, 0x28240a5b, 0xda690da7,
+    0x38c304ea, 0x6297894e, 0xfbb03c64, 0x2da6a3da, 0x1c618138, 0xeaf53791, 0x4e67f048, 0x42faed98,
+    0xd290139c, 0x330b5339, 0xb095d3f3, 0xac2a91fc, 0xc99cf387, 0x9e5cf4f0, 0x98d98486, 0xb64bd48f,
+    0xbdb7984b, 0x345ae9de, 0x42b93ff7, 0xaa33ebdc, 0x0a253d49, 0x4bc98a48, 0xf3dc3a6f, 0x051c297d,
+    0xcf22cc45, 0x3700af9b, 0xaddfed5e, 0xf5532bb3, 0x90054745, 0xe239629a, 0x3bd8598b, 0x327bc970,
+    0x1eb8beab, 0xa0f688f2, 0x3ee0edfd, 0x499f2c7e, 0x29cb2cec, 0x0f542f66, 0x4b2b0fd0, 0x2f9e75a5,
+    0xc90af459, 0xaa8406db, 0x059c1a28, 0x18a1482e, 0x7ec0d401, 0x781c9030, 0xf23dc57a, 0xf0e9a066,
+    0x856be1dc, 0xa643b034, 0x6573dbd9, 0xd26868b7, 0x85e5623c, 0x06b55aa9, 0x73b13a06, 0x104985ce,
+    0xa42f5570, 0xa8c7448c, 0xcb4db224, 0xb371e5d1, 0xe4057723, 0xbb9eba43, 0x813c27e6, 0xa91df3dc,
+    0xe112c3ce, 0xe4da399b, 0x3f1c7d32, 0x60677b4e, 0xd21335c6, 0x8d2c189d, 0x6aab0f67, 0xbd0d1d0b,
+    0x2be2a94d, 0x9c9b95c4, 0xec75248a, 0xa4c14ee5, 0xad0779a2, 0x978fbcd5, 0x149ae7c5, 0x6dca24a3,
+    0xa4d2b541, 0xf58a0181, 0xb8a8a67e, 0x0aefa5f9, 0xd69dddda, 0x66bc6233, 0xa7b99844, 0xdac15f5e,
+    0x1afe0768, 0xbb5a8658, 0x038beb94, 0x717497d4, 0xfeee9d26, 0x8c650c90, 0x2720ddd0, 0x0c589b50,
+    0x3417e119, 0x13f9eb26, 0x31f1cb1a, 0x9ff11595, 0x5de53160, 0xc235cec2, 0x333aab0d, 0xcb312e05,
+    0xa227060c, 0x1932609c, 0xaf4c6a9f, 0x09680641, 0x99650d86, 0x697dc897, 0xf028d7d9, 0x36465301,
+    0xaa48a95d, 0xf979102f, 0xdcd040d4, 0x3938a375, 0x90fc9c94, 0x365f1805, 0x7a45fcaf, 0x7b7f9b4e,
+    0x5e32fe53, 0x70c30414, 0x9088e575, 0x56e91ac4, 0xad3198a7, 0xb0b5d336, 0x8a382590, 0xf431fbfe,
+    0x72339e2b, 0x1161d10f, 0xeb4cf973, 0x29217af1, 0x74842e45, 0x40d5bf00, 0x7e7c596a, 0x1a844502,
+    0x873a77a9, 0x33d9fb2a, 0xd50330c2, 0x18f4583c, 0x34cad26a, 0xffdd3916, 0x5791b8c3, 0x77f6c40c,
+    0xd4305520, 0xc4ba41b5, 0x0329fe13, 0xd16d96b4, 0xd42bdba2, 0x5dfd3295, 0x7954271f, 0x898342ac,
+    0x9212f1c6, 0x4a082af3, 0xd212000e, 0x7b6b5e05, 0x553f76c4, 0x68f4e7ea, 0xb6d1157e, 0xa061e492,
+    0xdf2dd929, 0x217ff511, 0xb8d139f6, 0xbb0a269f, 0x26ef518e, 0x7d560b27, 0xf88a5868, 0x9ab997c0,
+    0x389a9ede, 0x1ab963df, 0x2e058eb8, 0x56982719, 0xdd784609, 0xaf7b03a0, 0x43af20c5, 0x612f8cf1,
+    0x87647a98, 0xfa82c096, 0x36376740, 0xae91ab1f, 0x09865176, 0x1942e771, 0xc11dd4de, 0xf04048a9,
+    0xacc15e20, 0x50d782f5, 0x8485c690, 0xcee352cc, 0xe450645c, 0x038f59f0, 0x546ec698, 0x18f4769b,
+    0x4c360d09, 0x89a5eba9, 0xaa8e1cb4, 0x525b0fc7, 0xcd6677b2, 0x1d4a8161, 0x05c1b90b, 0x889a0813,
+    0xaf95e8bf, 0xf0650f39, 0xc7eee2aa, 0x250a73cc, 0xb4b85566, 0xb1f0e35a, 0x3cbbf975, 0x28fa301c,
+    0x5cd5ddbe, 0xb2b7dc80, 0x77d92a23, 0xf69f6f2b, 0x9fd6f016, 0x960da27a, 0xf586fce1, 0x9667ed26,
+    0xf1b6adf6, 0xbeeb1518, 0x3edd2e1a, 0x6911f541, 0x32ddb0e8, 0xa4070cdb, 0xec6fbcdf, 0xde328f87,
+    0x5e7c2517, 0xcbbda379, 0x558c6281, 0xabe91edf, 0x58c516aa, 0xd9aa889b, 0xafe2ed3f, 0xd9eb7af8,
+    0x7f7ff0d3, 0x73ae9636, 0x387e8017, 0x392ae19c, 0xd40149a3, 0x6157c51d, 0x42fc7001, 0x1acbcf26,
+    0x99ef8e3e, 0x12983038, 0x207f48d3, 0x915ade34, 0x44d67aab, 0xc381f4e9, 0x74e5b786, 0xf9591def,
+    0x027cce09, 0x0d6f9f03, 0x688023cc, 0x11eb0c8c, 0xb7b80d0d, 0xf00a40ee, 0x1cda73d0, 0xc10f359f,
+    0x60839ed9, 0xf6b35f3f, 0x38274c4e, 0x6e01ee32, 0x34969ade, 0x7fb6f404, 0x8bab3b8b, 0x2e6654cb,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000001427247692705959881058285969449495136382746624 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592812, 0x599349d4,
+    0x00000000,
+    0x804f2a79, 0xa3300505, 0xd35c87b4, 0xb3336796, 0xf1305ec4, 0xdbb61f04, 0xf3131711, 0x6152ef7a,
+    0x57454d03, 0x3588b282, 0xa67ce02f, 0x5325d3b6, 0x04564381, 0x8ff1b523, 0x73631d44, 0x2744981c,
+    0x17278f67, 0xe3820984, 0x3a3f7288, 0xfbe37b72, 0x80b3df2c, 0x21202164, 0xe5be6de3, 0x61e28044,
+    0x129dd8dd, 0xb2dbc597, 0x298790d1, 0x37c722da, 0x2f4b5046, 0x6980bb98, 0xf6fe0b9b, 0xa5d2fa6a,
+    0xb7203916, 0xa7e7a86d, 0x74bbac30, 0x98397ae4, 0x0d4be203, 0x6741a20e, 0x147b35bf, 0x54774c25,
+    0x6423fec1, 0xcd44362f, 0xc5a6672a, 0xd7405bcd, 0x8bd418aa, 0xdb8d274b, 0xf9bb7ca0, 0x3c0b9506,
+    0xf73dcdd6, 0x119fc9fd, 0x2a7d0ca4, 0x7e553b12, 0xbf73d58b, 0x5f569434, 0x51b4e5ca, 0x822c3be9,
+    0x7e7eacde, 0x22c61a87, 0xaf5b92b5, 0x3fdda44c, 0xde0a9030, 0xcc205a1b, 0x422f8d1c, 0x621256fc,
+    0xa0f71d89, 0x66169f98, 0x4dce7d7e, 0xa233d628, 0xea156a5a, 0x3a4ec099, 0x2084724f, 0x028e25c3,
+    0x50181c68, 0xb39fbf63, 0x3d4a9178, 0xf93e5af5, 0x923e9807, 0x39a88d96, 0x7c17af89, 0x31ec8a01,
+    0x97330ab6, 0xb705905d, 0x18dbf052, 0x000e775b, 0xd6f53942, 0xb7a5f556, 0xd7163cb3, 0xe5aaa82f,
+    0xd6d40654, 0xb7ed6241, 0x04182c76, 0x3711dda3, 0xd09775ff, 0x9a271980, 0xa1f1e28f, 0x5baae185,
+    0x7d56cf65, 0x36a085e3, 0x674babff, 0x6b1d7a0d, 0xe49a7416, 0x18bc1ac3, 0xebc55012, 0xd2ae1020,
+    0x74970bdb, 0xf33dc8fb, 0x2accb092, 0x1357d3c8, 0x43d36b35, 0xc40fc72e, 0x7fa4e640, 0xa42f9dd9,
+    0xcfe9a80d, 0xa61b91a6, 0xffeca34d, 0xc8337f37, 0xef8c5a75, 0x769f3aac, 0x9d7bfa1f, 0x9ad74596,
+    0xcf5bbf30, 0xc85010c8, 0x5a124f2d, 0x28aafc49, 0xf2d414ec, 0x2a0ce302, 0x5bb700ad, 0x277e1434,
+    0x9d3215bf, 0x3cf1292c, 0x950b6383, 0xb3ec1153, 0x84281298, 0xb48f9aee, 0xb1e83b91, 0xd6949a46,
+    0xea0faaba, 0x477f6001, 0xcef72eea, 0xd6edd1dc, 0x5c68d4ee, 0x0f88a6e2, 0x3a8df239, 0x26ade36e,
+    0x4474a9a5, 0x4f3dbc45, 0x40095657, 0xe48696e1, 0xfd48c08e, 0x4341327a, 0xccc7aec0, 0x759a29a2,
+    0xe63c29cd, 0x694b8d85, 0x7fb8b811, 0xfd993e6f, 0x6437e552, 0x6968e778, 0x3ca3a09f, 0x74628c90,
+    0xca23db57, 0x13dbda2b, 0xfd310bcb, 0xf107e913, 0xf95eed30, 0xb5c04758, 0xaa72a141, 0xb94c8434,
+    0xb43eaa9a, 0xe3e9b088, 0x2b407235, 0xf59a9e55, 0x3c73d292, 0x9eef1efb, 0xf69a65c6, 0xf0863f1b,
+    0x6a1a1110, 0x55a00168, 0xfc35e4dd, 0x42788e7b, 0x7f528d2b, 0xcb26598c, 0xbe4ce717, 0x8e0a06d4,
+    0x36f01959, 0x1f3a15f0, 0x19253bce, 0x8237f3aa, 0x86cb19bb, 0x9e9e0a81, 0x358c7b50, 0x753efcfa,
+    0x768dd125, 0x277c0e33, 0x4edad51b, 0x330b0325, 0x5b7572f7, 0x0a80ae8e, 0x10e23ec4, 0xefbfee2f,
+    0x63c1f288, 0xc14e2a22, 0x8abd38b0, 0xc5a7ed69, 0xfdf12054, 0xe03f336e, 0x512c0a8c, 0xefce06e3,
+    0xf0452936, 0xeb933bf0, 0xdb776990, 0xe7aa2e9f, 0x8d4d91e8, 0x29cb920b, 0x79b09437, 0x39a4dd01,
+    0x7b90fa5a, 0x91739480, 0x29336dec, 0xfc8a85e1, 0x2f1b2997, 0x800121a8, 0x97a9f9da, 0xa470a24b,
+    0x8b941fcc, 0xe17f0122, 0xbecf7d6b, 0x2d62e63c, 0x37afbc71, 0xc6076311, 0x5561e7ff, 0x1739ed03,
+    0xdc3c369c, 0xe526068e, 0x695f92da, 0x55e025d3, 0xae45a4a8, 0x8e2d2ae1, 0xf1935f81, 0x60a81475,
+    0x99b55fbd, 0x9c8945a8, 0x0cdce53a, 0x93ff4fd9, 0xe0dc21c7, 0xed85cf16, 0xf9174f9e, 0x8fe4d5ff,
+    0x9b51644b, 0x33f6c9c7, 0xcf66314c, 0xf9a7aefc, 0xe89c6ad2, 0xefb6b151, 0xdba0273b, 0x34695cde,
+    0xd8b1f91d, 0x90b75e61, 0x30b4408d, 0x9a87c6d9, 0xfd65d113, 0x9b6ecc55, 0x26c94e52, 0x8d2b3c36,
+    0x73e4fc55, 0x71764496, 0x37797579, 0x85bcef29, 0xdb4388ca, 0xa4813325, 0x2da56d33, 0x02e03a13,
+    0x3a2ba08e, 0xe4c13d7e, 0x4eb9ef3b, 0x27af3184, 0x7d54926f, 0x1084e527, 0xe658f83a, 0x32fb5680,
+    0x09213878, 0x4a18b5ff, 0xb41cf415, 0x97a8717f, 0xdd876809, 0xfc64b4c3, 0x0dfb5908, 0xabe70763,
+    0x26731ef9, 0xc57317b6, 0x46adaa10, 0x9c2c4471, 0x6da6b587, 0xd25d4090, 0xdb64850b, 0x57605db6,
+    0xaa135989, 0xe9245ffa, 0x1195565b, 0xaa92d367, 0x8713fab8, 0x5a2111ea, 0xbf4878c8, 0x43bcf189,
+    0x3aa163b9, 0x16cbc385, 0x54061814, 0x49accd52, 0x78f7c780, 0xc6cdde4b, 0x2382d588, 0x09001ced,
+    0x12cfb63e, 0x3bfbcad3, 0x690c3513, 0x024b3e6f, 0x721e527a, 0xd735224c, 0x56161e1c, 0x1faec2bf,
+    0x236f40b5, 0x15573ac6, 0xeec22e24, 0xdcec9366, 0x40c71bb8, 0xe6b42a88, 0x31983e40, 0x4aca0206,
+    0x950bd932, 0xca0b3eb9, 0xdd0613a2, 0xff05eae4, 0x7bb75d09, 0x61181736, 0xbee26cc0, 0xc8fa44c6,
+    0xf9188183, 0x4bc6c29b, 0x86b2c2e2, 0x8db0b925, 0x7be638bc, 0xed4b0dd6, 0x9ad18ca3, 0x7d7ef3d2,
+    0xaedc7488, 0xdb899990, 0x160bb494, 0xf0339a59, 0xbacdc9c3, 0xb4a6353d, 0xaaf1065c, 0xaff298ce,
+    0x8209af9a, 0xfa9dfa3b, 0x14e078c9, 0x61d16bc0, 0xd15a8bcb, 0xe126cf62, 0xda891427, 0x82258820,
+    0x87cb6393, 0x33ea67c5, 0xfc04c6ef, 0xe4baf2a9, 0xb94d7b8a, 0x82cf10d9, 0x4f010cf3, 0x714b36dc,
+    0x3e80de31, 0xad01d9d4, 0x67e933c4, 0x6d24080b, 0xe3f4089c, 0xab3200c7, 0xe2ca001a, 0x4101ed94,
+    0x9cf16867, 0x59bfc5f4, 0xe355daca, 0xb7236ea5, 0xc0298eca, 0x2e173634, 0x6ed91089, 0x55c08dbf,
+    0x10a7bdd5, 0x55cb9ab9, 0x8887caf3, 0x2b9c75b4, 0x26376045, 0x3571e096, 0x63a56462, 0xd1f87902,
+    0x3d0cd6cc, 0xd84655eb, 0x223f7ab5, 0xc16c3240, 0x144231b8, 0xa2bc8351, 0x0788a363, 0xaa460b16,
+    0x17a51dd9, 0x9bce59ed, 0x75f37f7f, 0x0f69e587, 0x1940afd4, 0x04c95b1c, 0x19ee9250, 0x5499ae0b,
+    0x2dd3f0f9, 0xdf962772, 0xdbf32987, 0x2d57f56c, 0x7bfe3f74, 0xa21cc572, 0xf1db728f, 0x5515b3e8,
+    0x8a555d64, 0x9fead7c1, 0xba55b854, 0xc8632a86, 0x0e8fdd74, 0x1b197e23, 0x4b075104, 0xb23a8284,
+    0xc684e487, 0x82c95ab9, 0x68cd45c0, 0xca8b23d0, 0x02342494, 0x1ca9c7f6, 0x5c893396, 0x818468fa,
+    0x339407c5, 0xe6a7c521, 0x542a575b, 0x4805cdee, 0x13585df7, 0x29b3d7f8, 0x12a5a40e, 0x17fbc164,
+    0x96fd9fd6, 0x856e7a75, 0x2b6bba58, 0xd4b0aecb, 0x1d3e33cf, 0x6560e0b0, 0x783fb294, 0xcd94623e,
+    0x7975df46, 0x7f5f1766, 0x11852b3a, 0x6d04b71d, 0x07a386ab, 0x50aa3585, 0x9ed62fe0, 0x9288f845,
+    0x488e33f3, 0x25d9c839, 0x58e5702b, 0x5ce07517, 0xe87483cc, 0x187fca4b, 0x6eb8bbb6, 0x6b759d8b,
+    0x0a3d0c77, 0x1aeb8227, 0x81a9c8e3, 0xd85a102a, 0x2802ba50, 0x1038991a, 0xc59bdacc, 0x8cf3bedf,
+    0x9d43aa67, 0x9b148907, 0x18c1e61d, 0xbf09d1d3, 0x8f59d9b8, 0x2f9981f0, 0xd74e84bd, 0x3291ca02,
+    0x014d8683, 0x32821ed6, 0x6102659e, 0x82c54483, 0xfa045f1a, 0x7f6c4abe, 0xe26cdbbe, 0x30b59b3d,
+    0xe4aa12d5, 0x11e91a27, 0x0fed37fd, 0x5cd125c1, 0xdefc984e, 0xc6c11b9f, 0x83ebb0e4, 0xa9d44ab6,
+    0x64d7c7e9, 0x3179469b, 0x9d490a44, 0xaa88d58c, 0xdbc202ed, 0x1ee66098, 0xd01b3a51, 0x903e02a7,
+    0x7ca9d68f, 0xd43ce6aa, 0x0c59883e, 0x590590ee, 0x02c89874, 0xf657b4d8, 0x59850034, 0xb8b7a366,
+    0x051f0bad, 0x609d09a0, 0xf0d2ce13, 0x8e1e9d14, 0x27ca6f69, 0x2d95db07, 0x2ba0430e, 0x4d784232,
+    0x3109964b, 0xf0fd1d43, 0x7c2fccae, 0x872e94de, 0x0956259e, 0x2f15f955, 0x285afaae, 0x926cc11f,
+    0xf182b32d, 0x8858478e, 0x12c49e77, 0x3145c671, 0x9999263c, 0x29483db5, 0x59d2fcf3, 0xd43eabf4,
+    0x0377e04b, 0x7dbb937e, 0xe8978048, 0x284ec395, 0x9b2b2e53, 0x82da3d0f, 0x4e6a8e0b, 0xe9ecac7b,
+    0xeec72cda, 0x1d0d4f9d, 0xbdd7c036, 0x31ea4ce5, 0xeeb86826, 0xb60f12de, 0xf968c5ce, 0x218eab24,
+    0xeb2157b9, 0x5d911379, 0x9ebc0bd2, 0x2051ebd4, 0x0021cbf3, 0x7653338e, 0xab1ac5fe, 0xe8d602a4,
+    0xcd527952, 0xb1e815ec, 0x48281b25, 0x5876cbca, 0x2172a811, 0x65ee5205, 0x559838c7, 0x211b119a,
+    0x6d250eed, 0x7e53b831, 0x570aa149, 0xb6433950, 0xac1c084f, 0xcee6f359, 0xa809c00c, 0xc1af2631,
+    0x2cb9c8a6, 0x8dcb7971, 0xaac059db, 0x8d6190c0, 0xe93d1692, 0xcb83f06b, 0x276509af, 0x269751aa,
+    0x239ba823, 0x1a7df5e0, 0xd60c7a42, 0x64924c21, 0x9a06f7ca, 0x975632dd, 0xe70ed212, 0x38221321,
+    0xa67aaa66, 0xceabeabd, 0xe255506c, 0xdf1f7e1c, 0x255fde51, 0x9e05bab2, 0xb3d0ef03, 0x618ac34f,
+    0xd8e01b1a, 0x8ba40bbb, 0xf4378388, 0xcf43c209, 0x5f6859d8, 0xa3591c7f, 0x6fe6c836, 0xa0fea2e7,
+    0xb913634c, 0xee1bbf3c, 0x790caf5e, 0x1103f44a, 0x4d544fa2, 0x49875aa7, 0xfa4d9447, 0x899d699b,
+    0xb072945f, 0x45720447, 0x76ddadf7, 0xbdcdf121, 0x7e9613d1, 0x09a70241, 0x391be8ac, 0xf82d7d62,
+    0x8a9d5b39, 0x99c3cffc, 0xf87357ee, 0x5f10b004, 0xc690df1a, 0x9be3f683, 0x18f29be5, 0x612e3b3a,
+    0x2f4a8953, 0x312680d4, 0x7507a1b0, 0x050eac48, 0x6856eef5, 0x7c97c610, 0xd2e7c2b2, 0x1b4069da,
+    0xc4e4cfe1, 0x084315a6, 0xe889ef9f, 0x609023d3, 0xf80ea649, 0xdf70e30f, 0x77b3122b, 0x14e49e35,
+    0x904b636d, 0xe54c4cb9, 0x5bbac9c1, 0x88de7e58, 0x24659eb0, 0xff19705b, 0x0c2f2de1, 0xed95cb30,
+    0x47668b02, 0x7f9769d3, 0x7c6d83ad, 0x6b6c3fac, 0x34bb1c99, 0x3ca907df, 0x478253dc, 0xc2c97138,
+    0x8443c4f3, 0x7cd4219f, 0x5be29a5b, 0x4fe623f3, 0xa4a6e2be, 0x7c29fc0e, 0x96e01c1e, 0xfc4348f0,
+    0x0943e7b7, 0xc1226e9f, 0xa66d63c6, 0x8fd5ea5b, 0x3aed372b, 0x16cd01a9, 0x5970a967, 0x4dffd91b,
+    0x32cc99c5, 0x09ffdd51, 0xc7ac73c1, 0x753239b9, 0xd055f900, 0x13099d4f, 0x9d1fcc60, 0x950b6972,
+    0x303ca9de, 0x95d93ec0, 0x33f1d8c4, 0x727d5618, 0x5ac217a2, 0x4acb6119, 0x6a6f5db0, 0x4ce42a8e,
+    0x8a377b00, 0xa3298975, 0xda0dc66e, 0xda82a09f, 0x95e362dd, 0xa920208d, 0xc31df5f1, 0x9e4c2727,
+    0xb7a553e7, 0x29a0b29c, 0x8302dca8, 0x66c0cd37, 0x9dbd7f2d, 0xb42ecb0f, 0xe5d2ac26, 0xa49f615a,
+    0xea54f9a6, 0x200f2947, 0xc996322d, 0x6b8472d3, 0xe1e39161, 0x1a0d9098, 0x5d23f5d6, 0x8288dc4d,
+    0x30a2627c, 0x5c421f6a, 0xb814812b, 0x336bbfdd, 0xf1436fdc, 0xe11ebce5, 0x98a1f2a3, 0xc2a6a408,
+    0x95e271a2, 0xde6aad81, 0x90f56153, 0x10a81674, 0xc5a12c10, 0x6aab3bfd, 0x90111103, 0x6699bb5a,
+    0x0f71ac2e, 0x19601aa7, 0x0caa8da2, 0x0acb7167, 0x61e290f8, 0x4ddb7a61, 0x3dd9dbe5, 0x14f8059c,
+    0xb4eebc35, 0xa24e5e8c, 0xb12de573, 0xacdd6c36, 0xa82227ed, 0x93f2aa4c, 0x0c7a8c98, 0x8e51bdc3,
+    0x5d57bab5, 0xd29c0f68, 0x94b7c8cf, 0xf87e2eff, 0x1432cbfd, 0x7b8017a2, 0x28837a1f, 0xd455fd25,
+    0xacda0c29, 0xe35cb0a7, 0xf7d6c013, 0x8e9d7421, 0x3b3f8723, 0xeb8a2af8, 0xaf20aeb3, 0xe6eac283,
+    0x2dfabb7f, 0x1391d6a8, 0x95845bdd, 0xf90120ad, 0xd31c2b5b, 0xbd19b7f3, 0x1c383af2, 0x4231edee,
+    0x109d12c2, 0xb972cfe6, 0x9ca2cc67, 0x6b65ac5b, 0x0e1ef8a8, 0x38b26e7a, 0x968cfa1a, 0x5ec7065a,
+    0x81efb1cd, 0xbd43a7e5, 0x9f65fae2, 0x00ab8bab, 0xc679542c, 0x33ec15a1, 0x1527bc1a, 0x1f6840c4,
+    0xbebb6324, 0x64e8adb2, 0x16f34fb7, 0x5ac04346, 0x3c31d2ac, 0x24597277, 0x638de6e1, 0x023a5024,
+    0x0a76f967, 0x0314d5de, 0x1e5cf147, 0xb37a892a, 0xd484ee7d, 0xada0ff1c, 0x9d63678a, 0xc2f99c67,
+    0x6b44f01b, 0x0f599050, 0x8645cd35, 0x28200ec9, 0xf407df4b, 0x867ddd97, 0x477e7e0e, 0x7fbbf5bf,
+    0x9bcc79db, 0x9ecfbf06, 0x9192e5c3, 0x3cbbad46, 0xece9d4e5, 0x203a01fe, 0xdad12979, 0xf3006f4a,
+    0x609ca39c, 0x8eb7a4ee, 0xfe8c5dba, 0xe11640ef, 0x7bc1d1b2, 0xef4b6752, 0x7750a552, 0x9eca3794,
+    0x69bcd1c1, 0x0deab021, 0x151b821f, 0xbd801aba, 0x802ffc4c, 0x15a78b7a, 0x89ca545c, 0x5dd0fe10,
+    0x257d83c3, 0x6a013fee, 0x2f67dac9, 0xec012e41, 0x37bbc788, 0x6dceaca8, 0x69540218, 0x8ae94b64,
+    0xb96afecc, 0xd9624031, 0x200fb47f, 0x120173bb, 0xb4d9dc88, 0x6b8f5df2, 0xd4979515, 0x01b84037,
+    0xe26ff4e5, 0xf80a2fe3, 0x831c01bc, 0xca73fdff, 0x735c26bc, 0x14699866, 0xfcf8752f, 0xfbfaed2e,
+    0x875eaadf, 0x6bfbf08e, 0xf0e013ca, 0x5e8a682f, 0x1bacbc22, 0x6161ea01, 0x198051e8, 0x3b07a885,
+    0xcf282cce, 0xc1585220, 0xec390904, 0x4951306b, 0xbf99be9b, 0xb6939ba7, 0x89c64c92, 0xae45a612,
+    0x93535d94, 0x909b3bcd, 0xd14947da, 0x5a82d5ad, 0x0f81ac73, 0x732b7ca8, 0x3d5eb48a, 0x07aa2c7f,
+    0xbbfb13ef, 0x4b7cdd5c, 0xf81bfb19, 0xe1f2df00, 0x3b949d99, 0xbad5f17d, 0x6dcefe6a, 0x6d9be0b5,
+    0x92b4957f, 0xd7da00ee, 0x42d3069e, 0x35ec06b8, 0x7994895c, 0x980175aa, 0x185db4f2, 0xce4ef624,
+    0xe595d5f4, 0x70136262, 0x121f0dfd, 0xc0ee7269, 0x7e2374ef, 0x2bab7991, 0x64b30ede, 0x27d92015,
+    0x3c4ca11a, 0x91d18767, 0xaf5aa9ee, 0xead7c475, 0x299b2156, 0xd8ab4f6f, 0x3f4ff0af, 0x60ee4f58,
+    0x66d873e9, 0x43455c29, 0xec6662e1, 0xa61ad285, 0xefc7bae7, 0xe8dfa7bd, 0x6a7eb777, 0x52cc8237,
+    0x2923d8f4, 0x909c4e46, 0x7717f951, 0xe4886b56, 0x1fe78904, 0xfb7aac17, 0x91b782f7, 0xbc182af8,
+    0xdeac0474, 0x7d51b518, 0x9835deaf, 0x658d0910, 0x0992badd, 0xc59efc58, 0x21da0188, 0x8d76fc89,
+    0xee9da5a0, 0xbfc4a6a5, 0xe12b2bfe, 0x5de97099, 0x8eef1de8, 0xdf5ff577, 0xaa2cdeac, 0x3328fdb9,
+    0x50c911c6, 0xd430cc2d, 0x20dd7a31, 0xc0785872, 0x9a9f2dc1, 0x6a805eb2, 0x98a6ba6e, 0x985e873b,
+    0x5a3c1b5d, 0x5e9fe5ee, 0x9ecbf7e6, 0x45c99a09, 0x39094d35, 0x95ac18cc, 0x4e7a7cc8, 0x8c336603,
+    0x4d5e9d2b, 0x81776df4, 0xbb0c7e0b, 0xda332f52, 0xb06c9832, 0x55d7975a, 0xa688bd64, 0xe47aaa39,
+    0x8ee1fa1e, 0x2bf86d7b, 0x77a7e643, 0x6da4dd68, 0x73c579f5, 0xea31f23d, 0x374cfc0f, 0x6818852b,
+    0x7b034aa5, 0xc6d37c26, 0xd40b2b84, 0x8616da34, 0x4d4a7b6e, 0x07139c17, 0x3718025f, 0x8902caab,
+    0xf29f7220, 0xae09cc64, 0x577062ee, 0x8477b5a5, 0xa43259f0, 0x9d0657e6, 0x5edfa555, 0x17711625,
+    0x7ba7d9e1, 0x275ece3f, 0x3785db6a, 0xc144985f, 0x63fca38c, 0x686acba9, 0x74905005, 0x8e71cd32,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000713623846352979940529142984724747568191373312 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9409, 0x2cc9a4e9,
+    0x00000000,
+    0xb53ce51e, 0xb7ac84da, 0xc26aa189, 0xf748aec1, 0x1b06fc8f, 0xcce16f54, 0xb8edee9f, 0xed834320,
+    0xdfd22661, 0x7fe2f228, 0x4a495d43, 0x349bd40a, 0x65171ec7, 0x6a27a0fe, 0xb5890da0, 0xa4275c4d,
+    0xb2ce19f5, 0xafaa656e, 0x128ca75f, 0x43a7799f, 0x9df009cd, 0xa9a9bf27, 0x7028ce9f, 0x69d96539,
+    0xfddd2e3e, 0x0bc59db0, 0x67fd1527, 0xfa53ff33, 0xef5d793b, 0x935a1eaa, 0x3a572163, 0x343a8291,
+    0x3fa1dfc4, 0x158345fe, 0x7ea052c3, 0xcc5dbbce, 0x93517cdb, 0x0e53aeaf, 0xe0a5dcea, 0x2f7978a4,
+    0xee71dbde, 0x2b46ab81, 0x087d9120, 0xd4d3e75d, 0x08ed50be, 0xfcc2441c, 0x2d431c32, 0xfc2d2e0d,
+    0x59835f63, 0x0f73e37f, 0x99ca066c, 0x989885ac, 0x0b27489e, 0xf31fd64e, 0xabff9ea6, 0x5e3ccb78,
+    0x39d838c7, 0x4c25d35d, 0x35127a0e, 0xe059be53, 0xdc4b2e96, 0xb59ae4b1, 0x981ce35d, 0xe8a7fe6b,
+    0xbd7903b4, 0xde39aea3, 0x03e7bc0c, 0x1d62f3b0, 0x3c90b385, 0xf4f340f8, 0x5b8d02eb, 0xa7945498,
+    0xe78b89d5, 0x8f523bb4, 0x4065a206, 0xfe082f20, 0x4460462e, 0x154b8e57, 0xa204dfa7, 0xe5d7759f,
+    0x9b9e2198, 0x9be73bb3, 0xab740038, 0x0f530a1e, 0x36312f3f, 0x6269caad, 0xc730204a, 0xf5e04638,
+    0xee698965, 0x10730cb7, 0x544bcf71, 0x01c1d22a, 0xad784ffe, 0x8a7f4613, 0xf5daccda, 0x37cf5187,
+    0x64b6a34f, 0x0116e649, 0x279dbdaf, 0x2b8f2063, 0x4cf32e63, 0x1ae94744, 0xe82abf1a, 0xc7ceb039,
+    0xe6f97d9b, 0x24d1d46e, 0xd7e7b980, 0x6b4c9692, 0x798deb1c, 0xe040b5fd, 0xb0fb6dcf, 0x5b666fa0,
+    0x15d9460a, 0x33763565, 0xdc10217f, 0x40dd340c, 0xbf922b81, 0x3e96fa3f, 0xeab5f3fb, 0xff42764e,
+    0xecfd807a, 0x41c73bb9, 0x39442536, 0x1ad395fc, 0xe14e96a4, 0x865debee, 0xe880fb3d, 0x29764c09,
+    0x75371d20, 0x87403946, 0xc1d5012d, 0x0e9a82d5, 0x572b926b, 0x2756b324, 0xc0bdf767, 0x1e951afc,
+    0xe8655754, 0x3076d918, 0x3ae3d409, 0xac684b27, 0x321d616e, 0x673eec12, 0x7e71214f, 0xa891223f,
+    0xa2a7fe9e, 0x1505c663, 0x0472ea38, 0xf9a89ac2, 0x6a7c556f, 0xf630c1aa, 0xdafb745f, 0x7ba0d0cf,
+    0xf435746d, 0x45d2c956, 0x96ded273, 0x68d129ad, 0x5ea4012a, 0x35f6f481, 0xad0e9c1b, 0xa68f38b1,
+    0x44681b1a, 0x08aeaa17, 0xb8cf056b, 0x8bafc2cd, 0xc997ca45, 0xc7178f69, 0x1abcd584, 0xbc57c963,
+    0x66c1128d, 0xad204d6a, 0xce69df59, 0x142556ea, 0x7c772bdd, 0xc603446c, 0xa777e173, 0xbe197802,
+    0x3aa51972, 0x83d7434d, 0x35db70a8, 0x4818dde9, 0xb542e172, 0x2eac11bf, 0x7b049139, 0xaa5bccba,
+    0x9f472fb4, 0xcd11421a, 0x0f039c60, 0xcad8d842, 0xa28df84e, 0x6104daba, 0x99daa8ae, 0xb4a14fe1,
+    0x4828e673, 0x14b3e63a, 0xbfd648aa, 0xd4495e17, 0xdad14921, 0x0d7ed8ec, 0x846778cf, 0x53dea9e4,
+    0x499e1fbc, 0xa3196894, 0x891458ff, 0x149f847d, 0xd9703e3c, 0xdbc5f1ce, 0xbf55174f, 0x22172450,
+    0x19590811, 0xd5d40ccb, 0xdedffbfb, 0x9af5379b, 0x1f17e2f8, 0x425d69ee, 0xeb7094db, 0x56c3c4ba,
+    0x73591b2f, 0xf793a6ce, 0xd820335f, 0x5ad86484, 0x4fbe816e, 0x4547717c, 0x5d00f138, 0x137f0209,
+    0xcd59dbfd, 0x666b247a, 0x8fafefcf, 0xf86666b2, 0xab0428ea, 0xbb4482e5, 0x4998132e, 0x4f5b0915,
+    0xcb2c2bea, 0x45d88c5c, 0xfd12f161, 0xf79459a8, 0x61c73134, 0x52ac516f, 0xb5a9704b, 0xb8f70490,
+    0x185ab8d4, 0xe3190820, 0x1fbb506e, 0xf2ce0ac2, 0xdd60fe90, 0xdb48160f, 0xe2736531, 0xb24b5fbd,
+    0xf4b635cc, 0x92fc37dc, 0xed8aca9b, 0x1bfce3d4, 0x10206602, 0xdcd670e1, 0xb719478d, 0x42dbaa5f,
+    0x4dfdea04, 0xf214cc29, 0x8cb975a5, 0xa80f19d3, 0x2ab0daeb, 0x80807b1a, 0x98f3d047, 0x2a6809b9,
+    0x0e5d1de8, 0x84c2408a, 0x175f81e7, 0x0b6fd55f, 0x51b50bcd, 0x6d1ed1a0, 0x9496dc95, 0xf4835891,
+    0x8cab1db2, 0xb0baf501, 0x081779bb, 0x5f1766dd, 0x1a6c85c0, 0x54fae61c, 0xed919626, 0x46ebb433,
+    0x6e87a642, 0xbb2444da, 0x3b59f947, 0x757fad41, 0xcd2e9fce, 0xcd8f9a72, 0x887704c6, 0x8a716137,
+    0x42aa736f, 0x1d1d114b, 0x69bf9a57, 0x017dd5f9, 0xe30603de, 0x59b65bce, 0xb34327d8, 0x5384d2e4,
+    0xcf786722, 0xf65e2ae0, 0xf4a92b5e, 0x225054bd, 0xadcf887d, 0xb7f35888, 0x3b7b7267, 0x9c87b82a,
+    0x1f21001e, 0xc0fc6bc4, 0x25b1e343, 0x0b49dbaa, 0x1fb20bc5, 0x0f5ef6e8, 0x779251b7, 0x49d71f10,
+    0x43f91e01, 0x7c165204, 0xf8123642, 0x9148c950, 0xc3604afe, 0x39593cf5, 0xf09f88d6, 0x89609072,
+    0x5df1f472, 0xb37c0384, 0xb25caf36, 0x7820be75, 0xbf159efa, 0x2fd835d1, 0x85a68a53, 0x0b46409f,
+    0xbed2b7ec, 0x3604bdf3, 0x29083735, 0x19154267, 0x28679c26, 0x5f62955f, 0x069e9c36, 0x499afd56,
+    0x4932e483, 0x79da6240, 0x4767c68e, 0x90ab8f0d, 0x59b6c8cc, 0xc8b5cc07, 0x82d9e93e, 0x1a6bd406,
+    0xf54426ea, 0x7acddbb4, 0x83c5bebc, 0xffe633c1, 0xed2faddd, 0x574f582e, 0xe04f04e8, 0x8e3a510d,
+    0x46a5a67f, 0x7aa2f4c9, 0x0657516a, 0x9ce49649, 0x0dcd175a, 0x0585f8b6, 0xf6ab89b3, 0x89e3a032,
+    0xb6da9d9c, 0xe4a3479e, 0x6138f3da, 0x091e738d, 0x35d19baa, 0xb9c3d0ac, 0xeafeaa08, 0x4c0bc31d,
+    0x2e3a94f6, 0xf171f9af, 0xf8f73bcb, 0x7e2d7a6c, 0x7c3c2162, 0xd9c492f3, 0xcebc0336, 0x31a87a67,
+    0x8f921920, 0x2c51f819, 0x2976a96a, 0xb51a2478, 0x0b6cee68, 0x06c4b93d, 0x56110734, 0xc2892cfd,
+    0x16d43ccf, 0x0288b5be, 0xefdf95a4, 0xd24d8d10, 0xc7be23b0, 0x7a82b569, 0x60e6ac9b, 0x9b2f7487,
+    0xa777e82a, 0x3ae0252b, 0x61f58842, 0x0b71904c, 0x795ccdda, 0xc4c88a3f, 0x901f0765, 0xe0460c93,
+    0x78265bcb, 0xefddbe21, 0x9ff481e8, 0x748be32a, 0xdc965ac2, 0xfb5ef49c, 0xa2f2ff81, 0x939e1d5c,
+    0x82ee16d0, 0x49c153c2, 0xe7671dcf, 0x3757614b, 0x00e9957e, 0xa0480797, 0x0ccdaccf, 0x56e7c193,
+    0xf63a3670, 0xf5d2e7ac, 0x840b258d, 0xb5e14168, 0x89905deb, 0x558fe1dd, 0x7a56e818, 0xa048e491,
+    0x7cf48148, 0xb56a0052, 0x60b94143, 0x25a45495, 0x7294f983, 0x012e0126, 0xb7c247ce, 0x4a46c1be,
+    0x5c48b98d, 0x13cd09be, 0xcdccde59, 0x1cbb6dad, 0xa2937096, 0x978ad6b3, 0x50e4ff29, 0xc0d5bfb8,
+    0xa0e28aee, 0xdb0424b7, 0x8dddaef5, 0xf2b01652, 0xba4adcae, 0xa7e1c071, 0x9da01633, 0x3d9359b3,
+    0x2f722cd7, 0x37d9dc14, 0xf8553edb, 0x4f91bcc2, 0x118e2813, 0x68188e22, 0x2fb37036, 0x53efc07b,
+    0x525a66e7, 0xc250d685, 0x7242443d, 0x686423e8, 0xd8ea7c4f, 0xc6e4bd5e, 0x1c89fbb4, 0x1a6e9a29,
+    0xbe87562d, 0xc77bbb84, 0xe207647c, 0x218d9601, 0x88852c73, 0x0d97fc67, 0x02ed538a, 0x186003ab,
+    0x0cbc00e2, 0xb11e6272, 0xd0abcd07, 0x8df79570, 0xef6bce86, 0x2dbb16b5, 0x99aae2ab, 0x6ebb24fb,
+    0xfc4aba2f, 0x596b8863, 0x89751d42, 0x74264873, 0xab3e6362, 0x92dcf74d, 0x47272203, 0xb7d72ec5,
+    0x06ffb177, 0xb978237a, 0xf188ace6, 0x831798e3, 0x90d479e6, 0x56655de2, 0x942717fd, 0xe9ceac19,
+    0xba7df570, 0x82c1e1a9, 0x2bdd2f66, 0xcbfe2757, 0x34cbd9e2, 0xa9e0ad26, 0x2c3ef277, 0x3fcdc1e5,
+    0xf0805dd9, 0x8b5e794a, 0xe6f54262, 0x03caac82, 0x5377531d, 0xa3b33bb8, 0x6bd0ebda, 0x66bb07a8,
+    0x812dd359, 0xb2b05299, 0xdf682413, 0x9eb29516, 0x8623e88d, 0x69f2abef, 0xa8acf91c, 0x30f9e7f2,
+    0x10cf5b24, 0x8a506105, 0xf596c0a5, 0xc8f42830, 0xaded72d7, 0x602ee650, 0x6fbbae23, 0xaf8af962,
+    0xfbf529ac, 0x77b3daab, 0x7975ae33, 0x0db15ad4, 0x7d9e3225, 0xc677b41c, 0xc7ba96db, 0xa140288c,
+    0xf96378ac, 0xb5b2ccac, 0x59c3d508, 0xe7b4018c, 0x4f9656b9, 0xe41a4f6a, 0x26349cd1, 0xaa4fd5ec,
+    0xfbe17416, 0xa8340325, 0x78868aa6, 0x9637cc88, 0x774b6387, 0xb1aeb379, 0x8984ed0e, 0x5ddd270b,
+    0x7ec00500, 0x2fa5a9a8, 0x2c6b5de5, 0xfa470076, 0xfa1a92ac, 0x316ef316, 0x409e99ed, 0x1506fc00,
+    0x387bf27f, 0xd937a432, 0x2d1048c5, 0x3d833f1e, 0xe7982395, 0x2f082339, 0xd2f1b4ec, 0xd8bfaf75,
+    0x0453b505, 0x419b80e6, 0xe038eca4, 0xf1ccc2c6, 0x5d695ba8, 0x7b70be01, 0xa1ad5984, 0x1b3cc5f7,
+    0x179dfc91, 0x58212ef9, 0x73fb132e, 0xd25ad74c, 0x2e465505, 0x2f85c54c, 0x8aaff8ff, 0xc052744d,
+    0xa2c24d67, 0x9745e6ea, 0x99d16212, 0x67fee6b0, 0xa33cdb8f, 0x811acd50, 0x70837358, 0xe356ab8a,
+    0x887f3bf0, 0xc69f65ab, 0x79bf84d8, 0x42a19009, 0x88f2848d, 0x752dc4f9, 0x0ea795ad, 0x39c44d49,
+    0xb1fe9388, 0xe13d6036, 0x9ae241e7, 0xd4def763, 0x9c35850d, 0x2cc6e08a, 0x2fe70589, 0x2dbd4a26,
+    0x56488350, 0x516ab425, 0xe6459d8a, 0x4c3963a0, 0x22f9f450, 0x33c5b976, 0x567b04d7, 0x4f749ffa,
+    0x98dba6b6, 0xc4e2c719, 0x01db5bb0, 0x340dd06b, 0xbc2d8a01, 0x0a159ab8, 0x1111f3a3, 0x19c9b3be,
+    0xf0fb5487, 0xcd4d0b36, 0x9ada5f45, 0x70fa22c0, 0x1dcc32f5, 0x0cebffd7, 0x18e3888d, 0x4aed5e1f,
+    0x8feaac14, 0x74550cd0, 0xdb52c421, 0xebd50165, 0x919d0132, 0x860ee8ca, 0xe69f07a3, 0x80b60845,
+    0x5935ea84, 0x86c2cb13, 0x5db128c8, 0x8275c47a, 0x3e483339, 0x2b11cab8, 0x6f28acc3, 0x994c060e,
+    0x48ef208f, 0x89be96f1, 0xfb231bce, 0xa07af6e2, 0x501006fa, 0x61459314, 0x4daeccdd, 0xbbaf01b5,
+    0xf9e3b323, 0xfbb8ac38, 0xa3a25449, 0x27c889cf, 0x43b2c3de, 0x5eaa6128, 0xe5d651a3, 0xb6854936,
+    0x9d53bb80, 0xdea5db25, 0x1b6eea0c, 0x3b96e6bf, 0x76935d78, 0x276b1fdc, 0xb5ebe1e9, 0x59cf3151,
+    0xe86bcd4f, 0x75c8e614, 0x00271594, 0x93b7fcfe, 0xdb39d6e6, 0x91905933, 0xbd426ebe, 0x99f2d36d,
+    0x55d4196a, 0xc016d8aa, 0xe739d92b, 0x1848f72e, 0x43351891, 0x7cf55525, 0x40f1170e, 0x07f652f9,
+    0xaabf9c1d, 0x0164b301, 0x93672208, 0xed98ce2c, 0xe5051d7d, 0x69ffe600, 0x69f34980, 0x5d1c9c84,
+    0xb3ace8d8, 0xccf4976e, 0xef8b4360, 0x6ee97943, 0x3210b395, 0xa6644ec8, 0xc77e2d7e, 0xfdd0d4fe,
+    0x7e93c1ef, 0x06ff3454, 0xdbbcdd26, 0x57dc450f, 0x6bed28b9, 0xb28a734e, 0xf8dcab5e, 0x29d7399c,
+    0x61431064, 0xae7cb553, 0x3e8d4c2f, 0x0f5b224d, 0x94557d46, 0x57e12f32, 0x642229f8, 0xc0373bb5,
+    0xd0570d15, 0xe6cb39fb, 0xf54b9b79, 0xa9163ce2, 0x255c0ed2, 0xe8fb2d4b, 0xbc5358b1, 0x59df408d,
+    0x98f08bc9, 0xb58ce7dd, 0x8dceea4d, 0x41541df2, 0xf986faae, 0x7d3b98c3, 0x75619804, 0x881eff0e,
+    0xff8367f6, 0x1cad0968, 0xd71c81e4, 0x13e5a469, 0x4adac268, 0x88b91fa4, 0x35467592, 0xe9e90d82,
+    0x6b3cf318, 0x0034aadb, 0x483a49b7, 0x19bc3e79, 0xa2cc67ef, 0x6522951a, 0x2a1472f3, 0xfdb1079f,
+    0x5b071b33, 0xac1d8de3, 0x82bd30ac, 0x6e17ae5f, 0x5541eefa, 0xa5a0e47b, 0x73499055, 0x7e8ae2e5,
+    0x7f3f8c38, 0x708ce653, 0xf1b761a4, 0x106bbd31, 0xdbadcb88, 0x5c778666, 0x3d8c6188, 0xc6049536,
+    0xd51d5be4, 0x4580fd4a, 0x0ac191ab, 0x736ffc44, 0x240fe7b5, 0x10042c54, 0x3446aea9, 0x58bf97e1,
+    0x81d285e1, 0x2fb852bc, 0x9a1278e8, 0xa6b8027e, 0xb64f1a94, 0x11a1dfda, 0xcec11701, 0xc013d3c0,
+    0xb6ffd4b7, 0xe08a7d21, 0x6c603dd9, 0x4e8d3d5f, 0xbaa0b14b, 0x89ecadc1, 0x189cad7b, 0xd400b719,
+    0x4f0e28e4, 0xd720a969, 0xdbd788dd, 0x4c890d41, 0x989c3c45, 0x5efb6e9f, 0x15081bc3, 0x20f0c4c3,
+    0xbbb2f25c, 0x7bafdd95, 0x87194a02, 0x96813be9, 0x276f5eec, 0xda17e83f, 0x0f977b65, 0xf9f44a7f,
+    0xcc354fbb, 0xed92b726, 0x3aafe926, 0x883d31d4, 0xee93565c, 0x70fdab0c, 0x1e681dd0, 0xb779b461,
+    0x099983e4, 0x6d2509b7, 0xa63e3807, 0xd5049475, 0x1383f6c8, 0x6a2f73f9, 0x8f34a3f1, 0xdfbb3c63,
+    0x166b399b, 0xd7e4581a, 0x14c2ca48, 0xa74d165a, 0x77f6546f, 0xe08a9e6a, 0xd1f3a126, 0xd36f6d0d,
+    0x371b4d4e, 0x4217dcd2, 0x4681a4b9, 0xe4e24f5b, 0x80b48355, 0xda9efad1, 0x2215bcc5, 0x7fb62c84,
+    0xa0517b1b, 0x1bb38944, 0x73e0a9b4, 0xf4046755, 0x9da97e7b, 0xd9f04f07, 0xbca24f5f, 0xf0087ded,
+    0x60fc9a6b, 0x33a5be2c, 0x5a89ff57, 0x39f43a69, 0x46a2186b, 0xe81136f8, 0x81bfc8ff, 0xa1ef7097,
+    0x00210d34, 0xac2e7438, 0x454d6f3c, 0xc9289997, 0x5c825eb2, 0x726311bc, 0x7e62451b, 0x248865c0,
+    0xb2ae681c, 0xe1339ab0, 0x504ac18e, 0xc42d1975, 0x7ca9ba2e, 0xc42150b2, 0x382e8c3e, 0x9855eeb8,
+    0xdd3e85be, 0x4c6f108a, 0xb2d8bca7, 0xf9a91881, 0x3c1a7247, 0x2dcd9662, 0xd9e6389a, 0x2d26d461,
+    0xdd8b279f, 0xa6d19897, 0xff2d2716, 0xf4073686, 0x71d2e1f2, 0x4e852a49, 0x2ea96435, 0x8aa308a5,
+    0x166bd96d, 0x5bdfdc8d, 0xf0d68ef1, 0xf8fd2c38, 0xed0bef53, 0x6e96e1ad, 0xb9328cd4, 0xeb7aaedd,
+    0x07c01100, 0xb9e67ba4, 0x425e457a, 0x8731cc69, 0x265a285a, 0x5955c11d, 0xf86e2375, 0x220c3e21,
+    0xd4d6a005, 0xe1b493d8, 0x02bbf2e8, 0x04ccde69, 0xc0c3a558, 0xb5b9cb38, 0x2060f050, 0xc9e7b6d9,
+    0xa61016fe, 0x1723f752, 0xbb7ce4a8, 0xfccd9e17, 0x87b8ed6c, 0x74bf13d5, 0x423a48de, 0xd2dc4824,
+    0xa2f3aa4e, 0x51e2fde0, 0xefbc0429, 0xbd176ed8, 0xaa4d2ca9, 0x0686599b, 0x8835c81b, 0xd452112d,
+    0x717e25d7, 0xed3ea252, 0xb56427a1, 0x189581e1, 0x31a39c79, 0x167f1849, 0x53e3597e, 0x492b3f40,
+    0xabd9c518, 0xadd3c5ef, 0x3bf14d2f, 0xa15af62f, 0x548a966c, 0xab4879fc, 0x669ff615, 0xb68ba852,
+    0x84a9a4d0, 0xba153293, 0xa1cce509, 0xadfee71f, 0x31012a50, 0xdd12301b, 0x0057e478, 0x70a7bd19,
+    0x5da8ca1c, 0xfa24d248, 0x472613da, 0xae5ed3a2, 0x8370fe70, 0xf2cdb3eb, 0x368e5d25, 0x9edc466f,
+    0x8535da07, 0x848309b1, 0xc43a4d91, 0x955ebd4f, 0x5aa231c6, 0xb2848360, 0x8cbbab28, 0xaa4f5e47,
+    0x3e29848c, 0x7cc3a615, 0x976c8f12, 0xd2f49824, 0x17b4973b, 0x4962839e, 0x39e01cbb, 0xb578c478,
+    0x4cd721c7, 0x4e6ef765, 0xf3c9b8d6, 0xc0dba65e, 0x863dc474, 0xa4dbc8af, 0x39d2827a, 0xebb1fe0a,
+    0x7c73b2db, 0x605684d2, 0x62bc6f2e, 0xb9d4af60, 0xcc799cd7, 0x3505015c, 0x395fd58f, 0x25a568c5,
+    0x2bd117e2, 0x1e86e0f9, 0x57250798, 0xa98206a5, 0xc449d4f4, 0xe05f817a, 0xebaf3372, 0x0a09be01,
+    0x2eecc92b, 0xde91e1a2, 0x7b4485a3, 0xbb0caef4, 0xba125965, 0xdf5f40d0, 0xc024e742, 0xa2ccef8b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000356811923176489970264571492362373784095686656 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a04, 0x9664d274,
+    0x00000000,
+    0x984f7420, 0x67b69fae, 0x82a022a8, 0x61346d7f, 0xb1f84bed, 0x06292ce2, 0x2426a9bb, 0xf6816d75,
+    0x69f3bdda, 0xaf410b3c, 0x146ff3d8, 0xb5d74752, 0x53744b42, 0x42b0bf02, 0x8ec2d38b, 0x3f7015fd,
+    0xd4b68992, 0xf85c60b5, 0x2c73573a, 0x7cca1cc0, 0xf5fc66d3, 0xebfe4f4a, 0x53ec0196, 0x0130399e,
+    0xa4319784, 0xe8de0552, 0x6922ed07, 0xc2daea66, 0x4b703c19, 0x6aa37d06, 0x89e0c460, 0xebff2d72,
+    0x993dfd07, 0xd775b9cd, 0x025a330c, 0x8b3b4696, 0x64c95aac, 0x65a32456, 0x3f6df47d, 0x740926c9,
+    0x1dbef6b3, 0x768c3618, 0xbc7f0e88, 0x051680d7, 0xe6850081, 0xed14d5d0, 0xf4d56840, 0xf0f7797c,
+    0x8ffc22dc, 0xa71e1dbc, 0xeaefb7c8, 0xce7d25e6, 0xfdda27d3, 0x657342eb, 0xba755533, 0xc91d256c,
+    0xc413cca9, 0xde3a720b, 0x0866b124, 0x8e139c4d, 0x3ea9395f, 0x51d08ca7, 0x97b34010, 0x41c74bd1,
+    0x8a4ceb04, 0xcae2e8b7, 0x688e1eb1, 0xcafd7a24, 0x12c1ac8b, 0xb532cc42, 0x0637394b, 0x6b80ac04,
+    0x812e020c, 0xeb868dec, 0xc9df7c97, 0x1a6366d9, 0xa2ecfae3, 0x6d18585a, 0xff6be415, 0xbe4fc244,
+    0x3d691e0d, 0x50f81cd6, 0xccac400c, 0x1551c7d9, 0x3950addc, 0xcb769a4e, 0xf2086e61, 0x60bdcf96,
+    0x843c951a, 0x78340f09, 0x4d057e19, 0x9a996dd4, 0x65102d8c, 0x737204ae, 0x440ecbfe, 0x271af368,
+    0xeb32b354, 0x9a507ed0, 0x1dd7f81f, 0xb193f71f, 0x43e4248d, 0xafd31dd9, 0x4c50cf36, 0x84b58d38,
+    0x54e8d163, 0xfc04e84d, 0x4a3db560, 0x3e6e92fd, 0xb60b5d0f, 0xf41dbeb0, 0xe2cec390, 0x030a53dd,
+    0x9020c0b8, 0xddcd564a, 0xb0729aa4, 0x557b8349, 0xa448170d, 0x1fa9ab27, 0x66d8da4d, 0xb847b3c3,
+    0x6309b861, 0x730578a1, 0x5471b154, 0x9f16e0ce, 0xcdcd11c6, 0x509a7415, 0x87a32dbe, 0x7ec735b6,
+    0x4f773589, 0x8069a0c4, 0xb7007595, 0x817a60e9, 0x91da65b4, 0x2ef3a29c, 0x531fc091, 0xe34a35ac,
+    0x9bf6d691, 0xad4b24c9, 0x4f48f33f, 0xe77c90a9, 0x27c08e17, 0x7b0a7b00, 0x8d20b7d6, 0x5e24d9d2,
+    0x474b7574, 0x3cca8216, 0x55c34ad6, 0xf536d395, 0x53766318, 0x8f8d1b1f, 0xa43c1ce1, 0x22722630,
+    0xc8cd5255, 0x09fa9ed9, 0x0dc6ed0c, 0x97c6ffae, 0x3621c48a, 0x219a00ca, 0x2d38e2d4, 0x11cefd46,
+    0x7d0f5055, 0xc99a0a33, 0xe90b327d, 0x84f1786a, 0xc993259b, 0x0bf29283, 0x05d07f89, 0x5481892c,
+    0x99309980, 0x4b86308e, 0x7d48adc5, 0xffa335f8, 0xcf767bde, 0xa23bd73b, 0xc5475d2e, 0x6b9fe87e,
+    0x2466dbd1, 0x557660b7, 0xfe976795, 0x7ffd3ba3, 0x1a05b27d, 0x328af725, 0xc58328c9, 0x8f4cd8bc,
+    0x40e9f003, 0xf6900f86, 0x494e4272, 0xa9a8bf9d, 0x5c7b0769, 0x9855a7fa, 0xd4719345, 0x5fba0c21,
+    0x38c07738, 0x253f76c8, 0x708e7eb0, 0xd09d72b2, 0xdcf7193d, 0x9d9e77f5, 0x58e6d074, 0xa1fab55a,
+    0xcc088a84, 0x52445a62, 0xd4dac1c5, 0xcf95d67b, 0xefe275b8, 0x8a1e19f3, 0x995919d6, 0xd179efc0,
+    0x57af35fa, 0xffea3b82, 0x304ec1b8, 0xe297a3eb, 0xc311f055, 0x41ee5c3b, 0x744dabb0, 0xb040220e,
+    0xc338f80f, 0x7e6bf58f, 0xecef4c8b, 0xeac08d02, 0xc9403a93, 0x98937589, 0x633ff14f, 0x654ddf8f,
+    0x33baace4, 0x0b64d329, 0x243081be, 0xd7182bee, 0x9141aca8, 0x0abcf2c3, 0xcdc7e4e6, 0x0140ddb7,
+    0x7f505f2f, 0x2a0cfc28, 0xc073ffdf, 0xa94874fa, 0x5f9e3ccb, 0x0644e3a6, 0x24f3c1a6, 0x22cc3cfc,
+    0x034f459a, 0xdda77415, 0x4b7ee29c, 0x56886053, 0xe410e517, 0xa199a3f9, 0x41d70ebb, 0x7f5c60fa,
+    0x5791b7aa, 0x07f96cb2, 0xba91076b, 0xae4864b6, 0x248dc075, 0x9d324f27, 0x5b047444, 0xb24ef8ca,
+    0x26c41216, 0x280b3125, 0x436960fc, 0x4a03bf23, 0xc28b29b1, 0x8775ef63, 0xe9d56734, 0xbd1b53d0,
+    0xd62efdcf, 0x14aca1b3, 0x3158faa5, 0xfb87740c, 0x726cc302, 0x7c34be18, 0xf797b624, 0x80fe8762,
+    0x3319c7b5, 0x19b7dca7, 0x507c6946, 0x9301307d, 0x8a6fc384, 0xecd26648, 0xde1ac2bd, 0x88facabc,
+    0x9f640fc8, 0x35eeb612, 0x9f0108d0, 0x54c451e2, 0x6e15777f, 0x14ff00d7, 0x52684b17, 0x65ad845a,
+    0xf2bd11a1, 0x3a9021e8, 0xefb6b227, 0x0317e5fc, 0xb8bcfbcd, 0x961bd73c, 0xd89beea4, 0x707100d8,
+    0xe1b126b1, 0xc48344c1, 0xb350a509, 0x013f71e5, 0x30463bc0, 0x9449eb3e, 0x3056eb43, 0x6c843979,
+    0xe67f9ac9, 0x564a3fee, 0x494b7018, 0xb16182c5, 0x689c4818, 0x55718017, 0xab705d19, 0x6a55008e,
+    0xe952e49d, 0x67c9fe7d, 0x635e864e, 0x55e472e2, 0x52bcd73c, 0xad8fa874, 0x5ee9c00d, 0xb7c3277d,
+    0x29a7531b, 0xb13a51e7, 0xf0186932, 0x518b0f7b, 0x37678987, 0x730a5be1, 0x7bd188d8, 0xd5f76f6f,
+    0x33f4e693, 0x881d1423, 0x41e097bc, 0x84159fed, 0x5d9ba539, 0x0eaa95a0, 0x14513b9d, 0x3f87d6d0,
+    0x31da8698, 0x221346d5, 0xae397128, 0x81d65236, 0x7b9466b5, 0xc8d8a7e9, 0x2cc48f14, 0xa1ad3402,
+    0x33c0d018, 0xa1f839d7, 0x9166aea6, 0x67ef465e, 0xc84d9557, 0x29ac07d4, 0x7515a383, 0xcd2dcc30,
+    0x198d69e1, 0x3e8518a7, 0x9d7c38ef, 0x56da70ab, 0xc9ae296a, 0x1ebfe553, 0xdcc929d7, 0x6f3a1e6f,
+    0xd0321320, 0x6db4d167, 0x4bca2ec2, 0x5bc1ae61, 0xb816704c, 0xb80eef27, 0x07bf2e3e, 0x28b1206a,
+    0xfbe7aba1, 0x56b4aa93, 0x37140f5e, 0xcb100963, 0x94c83ab6, 0x94a00b0a, 0xe3ac18cc, 0x171192b2,
+    0xfcb2c08c, 0x4fa1e637, 0x491eee5c, 0x80b92d89, 0x0ce9bc81, 0x966bc535, 0x0cf3d0f7, 0xcd468300,
+    0x281f6971, 0xb515d9da, 0x1a4c5335, 0x26598de9, 0xf6d1cc19, 0xdc885c93, 0x640a7acb, 0x7ae6410a,
+    0x21cdec27, 0x96d442c8, 0x58945d98, 0xe7de686b, 0x2e9bd576, 0x9f90dea7, 0xba232c18, 0x48524765,
+    0xeb5e59d1, 0xe5a01f29, 0xbb71df01, 0x2cb72e84, 0xc4d0c848, 0xf4377482, 0x6f6db6ea, 0x9273299c,
+    0x662a2079, 0x228e69e7, 0x3d9dea4e, 0xfd9da375, 0xa24edb8b, 0x5a56b7e1, 0xc68b77ed, 0xd159a9da,
+    0xa1672ae6, 0x45bad72c, 0x90f53831, 0x2fe9f2d1, 0x18195a73, 0xa3f0dfa9, 0xfbe309c4, 0x210dd0c3,
+    0xb061406d, 0xe7f02516, 0x31fe165a, 0x050ee792, 0x1fa6d928, 0x7d481d67, 0x9300b12a, 0xfd83cd09,
+    0x61c80980, 0x36d08a2d, 0x13c9c418, 0x89a22507, 0xad75a3ca, 0x1ce7981c, 0xdf0d719b, 0xc6ecb976,
+    0xbba846fb, 0x225f6cc0, 0xecf0dc1c, 0xec710a74, 0x62413b0b, 0xf35a7c3c, 0x21601b94, 0x99c9ae4e,
+    0x15f768d9, 0xd55161a3, 0x08b1fa45, 0xde8132b8, 0x51f64f62, 0xed62bb8f, 0x9755a046, 0x6c285c61,
+    0xd22312ed, 0x931ec69c, 0x9e8b1ccb, 0xf80ed42f, 0xc6096005, 0xb2ddc273, 0x4f360d20, 0xf127e350,
+    0xd3bc7d41, 0x9e4991e5, 0x8cd5ae4d, 0xfa94219d, 0xc4b2d333, 0x402b202e, 0xd2d57549, 0x1ad06248,
+    0xbccd5d88, 0xe8f79ba7, 0x473e7fa9, 0xa2238b2a, 0x063d22f2, 0x12a14c96, 0x64b28a83, 0x092dddf6,
+    0x678d17d8, 0x43bab8f0, 0xcf7069a5, 0x867f041c, 0x7fac3825, 0x6c7e2887, 0xad55da85, 0xbb3bead2,
+    0xf20aabbd, 0x42877b23, 0x422b56e6, 0xfa6092af, 0x94d7626c, 0xbae1d4d4, 0xa906b857, 0x8aa5c766,
+    0xbe092155, 0xa11f7218, 0xa3a31636, 0x495ba1ef, 0x48c94d93, 0xa350c83f, 0xafb9cbfe, 0x1c2d34ae,
+    0x6f4eaac5, 0xacdaa1bd, 0x14e82fea, 0x8b9e7c73, 0xa47498d4, 0xbaa14e2d, 0x3e501aa2, 0x9e41f6a6,
+    0x3fd9c59d, 0x9100136d, 0xea9d150a, 0x618cc8a2, 0xd4b978be, 0x09f62eb8, 0xe223987e, 0x18fd8775,
+    0x6230624d, 0xbbc15dbb, 0x7ae04e76, 0x77440873, 0x3832a0a2, 0xdf62c872, 0x115e654d, 0xceb9967e,
+    0x13edfa04, 0x25f252c6, 0xd40b01f2, 0xa0689686, 0x55c6515a, 0x84886dbe, 0xf802f451, 0x4ef59099,
+    0xb3cafa0b, 0xd50c86a0, 0x7b6d4da1, 0x3085bad6, 0xd7ab1062, 0x5ada5880, 0x5c8bbe35, 0x4048870d,
+    0x1cec11e3, 0xd1e6c67b, 0xd6265e3c, 0x3b454be4, 0xaf5ad098, 0x8bea2686, 0x24679bc3, 0x28aba7f6,
+    0x73a5ddb7, 0xb22db871, 0xf4d22915, 0xa3c1627a, 0xde4c5cec, 0x9a073a05, 0xc31f76d2, 0x3480b2a2,
+    0x7a3515d5, 0x289b46c3, 0x338e7e2a, 0x852c87e9, 0x746c65e8, 0xc060e658, 0xa9aba090, 0xc1b0617c,
+    0xc98bd03b, 0xdf8a7c14, 0x58b07ee9, 0x870e545e, 0x6ce4b131, 0xcf3f3a6e, 0xdd3a1e01, 0x698c8bcb,
+    0xb4859a4e, 0xc5011537, 0xd3ea2291, 0xe65aee41, 0xed825692, 0x3fd064d6, 0xb51a324b, 0xfc621004,
+    0xcbdee819, 0x057d3da0, 0xfc8fe294, 0xba6d15ad, 0xb9593b6d, 0x633cae84, 0xf1261bba, 0xd49439aa,
+    0x32b42192, 0x0f3a8047, 0xfdf76ca7, 0x44a2e040, 0xd9840a38, 0xc160a2ba, 0x499bc3ec, 0xc1bc33d2,
+    0x0f32298b, 0x1a3f0295, 0x1bd8d9bc, 0x372aeb3f, 0x86ee3538, 0x887e8ead, 0xeb1c0c32, 0xafe88082,
+    0x9fce66f5, 0x27903b3c, 0xd8f328a6, 0xb8bbb123, 0x70836be4, 0xfead73b0, 0x5191ee9f, 0xb7f0dc4b,
+    0x1bd81ca2, 0x41416b6a, 0x39ea243b, 0x04ba1e96, 0x56bad205, 0x2d3829d7, 0x9fc2c8b2, 0x6cca3e23,
+    0xd49c9ff6, 0x7d17b054, 0xf237ef0a, 0x0e62965a, 0x4dba9a8b, 0x0383097b, 0x48b90f7e, 0xe156569b,
+    0xf52a4b89, 0x5d237610, 0x312e7327, 0x2a40ac60, 0x0d23ada0, 0x14ab0d27, 0x79e1d440, 0x42ce9b7e,
+    0xef7af1dc, 0xd51f0889, 0x97b9136e, 0xe1b8283d, 0xb65ffe98, 0x42f27d72, 0x2ad096c4, 0x32cdccc5,
+    0xad66915a, 0xd02eff60, 0x7dd7d91f, 0x65b7ee13, 0xc5f0a34e, 0x8e781aca, 0xa3b78973, 0xbc37c3ab,
+    0x826503db, 0x22d879b5, 0x098f3c66, 0xb7300d17, 0xe14ee01e, 0x97885156, 0x60c050f1, 0x57e5afa7,
+    0x75ef969d, 0x574d261a, 0xd9e730bf, 0x8e3084ff, 0x3821bc91, 0x6ca306ef, 0x43b21f93, 0x6a31d4e0,
+    0xeadfcd67, 0xa4b530c0, 0x11696495, 0xa6233c89, 0xba8cc38d, 0xe551efa5, 0xadefe21e, 0xe43fcd51,
+    0x00a4eb65, 0xbf0fa267, 0x2d48846e, 0xaab15191, 0x2eb70040, 0xa5dcd1ed, 0xf172a460, 0x830da838,
+    0x92a9c736, 0x45045076, 0x64fda1f8, 0xc8089145, 0x4c0eff53, 0x74faa275, 0xc75389a9, 0x099b8876,
+    0x50e72cc2, 0x93d02056, 0x9352e25c, 0x0646215a, 0x2d13b12c, 0x84d6b75c, 0x9f1934ee, 0x72de39f1,
+    0x8bdbe696, 0x65ffdae2, 0x35d39e67, 0xa8540b0b, 0x94ab091f, 0x23efe468, 0x3fbf0010, 0x03875934,
+    0x5e9ab160, 0x3fb5457f, 0xa38156f6, 0x21815db1, 0xf33106b6, 0x18a306f2, 0x2501535f, 0xd0a3587f,
+    0x886b77c5, 0x4cc6d715, 0xc17931b5, 0x43b30b57, 0x92b204dc, 0x060e1134, 0xc5f96a89, 0xfdabe0c8,
+    0x3f3af56e, 0xe2245b32, 0x3fc6f389, 0xe9a09b0d, 0x945bb025, 0x49d7a454, 0x6d6cacc0, 0x283cca21,
+    0x10db9e83, 0x6eb28cb5, 0x327b9ece, 0x08d61204, 0xa3a0273a, 0x2df930dc, 0x9e2adaf3, 0xfcd426d0,
+    0x8b63cb81, 0x9a327cf7, 0xef9d2ce7, 0xf398f246, 0x7f65ac04, 0x8da99690, 0xc29f7aaf, 0x80bfd205,
+    0x26a24239, 0xf2163b35, 0x653f4849, 0x877ac740, 0x91839f1a, 0x11edd795, 0xcc514e89, 0xfd7c83c2,
+    0xda321cc1, 0xc7fd8bc8, 0x91447640, 0x857256cd, 0x3fd5ebbe, 0xce35b00a, 0xbf7c16d8, 0x05f5e44c,
+    0xb7610613, 0x3dbaef5f, 0x2e021464, 0x062e326d, 0x0bcabf3c, 0xdf01fc24, 0x77d2fb12, 0xde90d45d,
+    0x4322b3a7, 0x25db492c, 0xba065e4e, 0x5d814ad6, 0xe5d3a373, 0x045cb619, 0x5f5e8782, 0xbe402cb5,
+    0xed10ea5a, 0xf4d8e440, 0xb5171f8b, 0x43781b65, 0x256c57fa, 0x6f38ccdf, 0x76c73abc, 0x169a31fe,
+    0x181c68c0, 0x3a50aa4b, 0xa801d359, 0x6886cdb5, 0x98045cbc, 0xb4d996b9, 0xed51777c, 0xd7492253,
+    0x9aed72cb, 0xffeed091, 0xdd6e9945, 0x0100c698, 0x859a46f8, 0x83cddbf9, 0xc4fa3262, 0xbb42c71e,
+    0x46133835, 0xbc722e29, 0xcd146d58, 0xc0437ad7, 0x89ba6df7, 0x24c3a3fc, 0xfe7f1e3f, 0x07f012ea,
+    0xf0979db8, 0x5bb03808, 0xd00bbb1c, 0xebf6cdd8, 0x804adc7b, 0x1eee389a, 0xeb45a561, 0x918e465a,
+    0xcb724de6, 0x5d047ea2, 0x510dccac, 0x31117999, 0x46ba0dfc, 0x3b20f54b, 0x009bf3a4, 0x014730a2,
+    0xfa41daa9, 0x6be49a08, 0x88cf1c51, 0x119c0082, 0x27f0f376, 0xbc867c32, 0x6f8183b8, 0x4aa694d3,
+    0x670d8750, 0xf97960f6, 0x2ea6260b, 0x4b692f01, 0xcd909235, 0x855ec040, 0x8803a19a, 0xb27091a8,
+    0x218abcfa, 0x46c50e4b, 0xd06347a0, 0x6c7df85b, 0xbdee2e5b, 0xab79e6b2, 0xa7d864da, 0xfb2ff680,
+    0x7e7f086f, 0x08f094d6, 0x3b9543cf, 0xbd97ac06, 0x654da54e, 0x0cae97b3, 0x6552b05b, 0x40b567ec,
+    0xfecc67dc, 0xb1431a15, 0x874a6d78, 0x4d3788b1, 0x0b6878fc, 0x7d4f9507, 0x450ae7f5, 0xb0727cb3,
+    0x86008a6e, 0xed04af0d, 0x8450a770, 0x48ba2efc, 0xdb9f1894, 0x71b6b382, 0xe81d48dc, 0x70d96fca,
+    0x45ffc98b, 0x283e9e02, 0x2fa88db7, 0x030e2416, 0xe1fec124, 0x8c86a61e, 0x9be2f2be, 0x9791b8d0,
+    0x4415b90a, 0x9071f72d, 0xab89001f, 0x6afddbdf, 0xa76990ec, 0xbabab5cd, 0xd5bdae3c, 0xe441e862,
+    0x6e9ab2ea, 0x556c9bdc, 0x444130d2, 0x735b862f, 0xaa76b27e, 0x9440284d, 0xd0d8ca9d, 0x172823c5,
+    0xe9685a07, 0xb78e2afd, 0xb2b1c0be, 0x8350fd0d, 0x596cf9f5, 0xf3bef76f, 0x9aaa5b7e, 0xe2ce9f36,
+    0x0b322544, 0x9ace8862, 0x11a4b3f6, 0xf3c9ffc8, 0x5d6344ed, 0x6783164b, 0x4b6433e0, 0xcc2e9d17,
+    0x3adbb0ab, 0xc9d096d4, 0x5ae5ebb9, 0x1ce49908, 0xbf09875c, 0x4f9bc82c, 0xd5793188, 0xd4baebe4,
+    0x6e10686b, 0x81caa249, 0xbe1fc6af, 0x9c2fa5bf, 0x8ec4789a, 0xc6c89752, 0x8846758b, 0xeef516de,
+    0xd4a90e9c, 0xa5f4a165, 0x3e700f6d, 0x6770111e, 0x67232e68, 0x7fc24df2, 0x4bfbec3f, 0xfebb8c17,
+    0x9e8f511b, 0x5e2a357e, 0xa035e656, 0xdf2636cf, 0xc5067067, 0x06091ce9, 0x7d169668, 0xf36d548b,
+    0xe1ab1361, 0x9379a7e0, 0x732683f6, 0x6b765498, 0x67b28fed, 0xf38ab17e, 0x1560de71, 0xf8c59e04,
+    0x0815fd7b, 0xb633e1d3, 0xe0144779, 0xf3534953, 0x6bfb5ec0, 0x91e711e4, 0x69ab8b83, 0x59586b3e,
+    0xf9c0bd4f, 0x099d3ddf, 0x8530f7ec, 0x4b457a03, 0x501dfcb7, 0x0416e550, 0x4639d73e, 0x13d21118,
+    0x5315f81f, 0xbf9c985f, 0x226818cd, 0xff97dc38, 0xbd38d3cf, 0xd61f34e2, 0xb39581a7, 0xbc454683,
+    0xf009937b, 0x15245153, 0x31990858, 0x1ed93fe8, 0xa6b01932, 0x53709084, 0x5b49dbd7, 0x3f532eac,
+    0x1cd6f9da, 0x707c592f, 0x088548c3, 0x206aad5e, 0xf204a55d, 0x28cd8209, 0x5550d3f8, 0x5eee70c2,
+    0x031701b5, 0xfc00539d, 0x933320ec, 0x901a80ec, 0xeea8bce0, 0x2e5c741f, 0x20fc7235, 0x3abba08b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000178405961588244985132285746181186892047843328 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2502, 0x4b326939,
+    0x00000000,
+    0xc57668d7, 0x7275d44c, 0x69a5a024, 0xfc9e6440, 0xcb36c876, 0x99b18339, 0x432a8916, 0xdf23cb75,
+    0x6de76c8b, 0x6e2a3700, 0xde1a6f62, 0x2ccaa34e, 0x23d5baba, 0x8d3c9918, 0x6aab9661, 0x6256cbf4,
+    0xe94160b3, 0x96528877, 0x863661c9, 0x01bce0ed, 0x271bef4a, 0x231d6461, 0xe51e53c7, 0xedbca323,
+    0xb75bcbef, 0x26412241, 0x98ba61c0, 0x8dccc998, 0x8fd84cf8, 0xb7b84b25, 0xa905ef24, 0x73aa8606,
+    0x467191b4, 0x07119f00, 0x6b1d58ee, 0x5bdb5dfc, 0xd7e99574, 0x57acad4d, 0xea74ccea, 0x51e0ad66,
+    0xa801da51, 0xf7c45691, 0x877978bf, 0x30334349, 0x0ba32a1c, 0x28fe4d6a, 0xced56846, 0x81e36e55,
+    0xa811ab14, 0xb35c03f1, 0x09cf3828, 0xf513a79a, 0xef936e49, 0x915f31b8, 0xe32180b6, 0xeb79eb15,
+    0xd6c2475a, 0x2c3d54aa, 0x652b9884, 0xffab51f2, 0xd69ca0ad, 0x87cd8f1d, 0x06453da8, 0x8cccc6d8,
+    0x46fe4d89, 0xd8696f0f, 0xb1d4157b, 0xad6d6430, 0xf633b65a, 0x0748ffd2, 0x766b8454, 0x8aa95495,
+    0x3736621a, 0x10c94029, 0x91351088, 0x113465f7, 0x54817616, 0x19700895, 0x5cc4e692, 0x7a431707,
+    0x586d7e8d, 0x85252260, 0x0c9145b3, 0x372e828f, 0xf951c0a3, 0x29685342, 0xfe1569c8, 0x472f369c,
+    0x942998ac, 0x87c2bfd4, 0xce0fee61, 0xe40594f1, 0xcb3e712b, 0x4f0e762b, 0x3f7c0bcb, 0xdc328d43,
+    0x24e52f28, 0x789b676f, 0xf6920ea4, 0xea2ebc07, 0xc4080fde, 0x09c6ea39, 0x9b84ee51, 0x7f224f98,
+    0x25088780, 0x9df74b31, 0x668d6f9f, 0x4de61845, 0xa42cfbed, 0xb32d1cb2, 0xe891c7ec, 0x960a7a4e,
+    0xafd1b51e, 0x1e4cf8b2, 0x07d4e571, 0x6900ecb0, 0x0b835737, 0x9855aefb, 0x74ec5b27, 0x2e0d0a7d,
+    0x3ab6b1a5, 0x00ca74e5, 0xb62ef4a9, 0xe131c660, 0xa72b29c4, 0xf770de33, 0x34ba1d29, 0x71db6504,
+    0x40a4c9ba, 0xfa092989, 0xf3c36d3e, 0x1ab00757, 0x868adde3, 0x9aa0027a, 0x46a17295, 0x92ef47d6,
+    0xf1625299, 0xaadc6848, 0xbfb8c27c, 0xe1fbde48, 0x5952ac23, 0xcddfff29, 0x4ff14930, 0xe5fb77b1,
+    0x28ed78bc, 0xce79c123, 0x285f37db, 0xce8e080b, 0x6a3ce206, 0xcfbc8305, 0x478c3ee6, 0x026739ee,
+    0xd7646f5b, 0xc19fd60b, 0x427a0ab6, 0xcac36c1a, 0x78c1c7f6, 0xc4891632, 0x9cbf410b, 0xd1e8cd26,
+    0x1623b092, 0x9dfc4bf2, 0xb7b981ad, 0x86c84009, 0xa1250e8e, 0xead993da, 0xdaa19997, 0x43c9bf3d,
+    0x0ffef508, 0x83c6254a, 0x78fd082e, 0xfa4d636f, 0x6ebc1da2, 0xfc8e6c77, 0x0012676b, 0x9d829ba6,
+    0x4e45a01a, 0xae415244, 0xdd1ea725, 0x4fe9e0b5, 0x29025373, 0xdb44b8bd, 0x832e7231, 0xab54cc58,
+    0x615629d1, 0x6e0f75f4, 0x01865370, 0xe1aaff8f, 0x00644a75, 0xc99ed40c, 0x6ff82b2f, 0x87d3080d,
+    0x49ef5c5b, 0xc75084db, 0xd3628887, 0xe6a8e78d, 0xc4d15f60, 0x0cf3619c, 0x443148c3, 0xb822b943,
+    0xc1b47c31, 0xa624fd72, 0x153bd54e, 0xc76311f9, 0xd6d01e80, 0x1f2e5858, 0x12359f66, 0xf6e30f0f,
+    0xe8dba856, 0x59fcd900, 0xe7680b61, 0xa5d14c9d, 0x0fe0ae26, 0x7f608b58, 0xe0a1847e, 0x6e4d973b,
+    0xa9480a5d, 0x846af340, 0xe572f02f, 0xf7eb874a, 0x6fc6e276, 0x2b4b004a, 0xebe38d9f, 0x1463ea56,
+    0xfae9e288, 0x8db27bcb, 0xa5707efe, 0x1caa3641, 0x036a88bb, 0x8e16f342, 0x87504d6a, 0x5f592337,
+    0x3fd5997d, 0x72b798e4, 0x171f6010, 0xba477821, 0x110a5dc6, 0xdc6f9c88, 0xfdb910db, 0x33f56092,
+    0x18b7ecaf, 0xa280b428, 0xc11e3f6e, 0x09f3e96f, 0xec8baf95, 0xe8363a43, 0x7e1679f6, 0x5ab691ad,
+    0x21cdefd7, 0x69ef63b7, 0xcc497bab, 0x2613bf27, 0x5f5a0638, 0xbf31e7e3, 0x09521295, 0x37f8ddd8,
+    0xa1f23ec2, 0x3c29f1cb, 0xd78fbcf5, 0xe4b684f5, 0x7c131965, 0xf921a0af, 0x649203ce, 0x006beade,
+    0xaf146083, 0x2bd2fe4a, 0xe5d05c36, 0x3116dcb1, 0x6957b57c, 0xc6f49383, 0xd216660f, 0xa6e561ee,
+    0x5a3d22f9, 0x9b5fe202, 0xc7755fd8, 0x65d16400, 0x084ffbbc, 0x1eeda4e1, 0x0866648a, 0xed502f9f,
+    0x5c1620a9, 0xf510f830, 0x0bfdcd3a, 0xa181d9b1, 0xfe97da9f, 0x3dd3cfa7, 0xb8a98a3b, 0x570c782c,
+    0x5a181b0d, 0xb602db4a, 0x31f7ee55, 0x50dec038, 0xec9e779c, 0x2ce96d0a, 0x880abc21, 0xa97e167c,
+    0xf066d45d, 0x83aa89e5, 0x4f4e4234, 0x8aa8a7d5, 0x3156e6f8, 0x4da647f1, 0xca52dec3, 0xd37ff79d,
+    0x5f9705a6, 0xd797f937, 0xb6e91844, 0xc7a4c565, 0x35f76843, 0x0800c3c6, 0x40d76748, 0x181630b6,
+    0x1442d357, 0x64218772, 0x0feab77b, 0x1c3450b6, 0x470992e3, 0x629f08d8, 0x76d099ce, 0x7750b6d5,
+    0x4c48ef65, 0x8deaa50d, 0x58cf1035, 0xb6c57cd9, 0x72273ea6, 0x3b347d39, 0x19b4b959, 0x95d56e67,
+    0x0f5e71d1, 0x486c9b7e, 0xe00e17d7, 0x42665820, 0xb49a5834, 0x43ce26ea, 0x8092c9ea, 0x161ff96b,
+    0x11038bda, 0x5fba7034, 0xab9101c5, 0x751ec84f, 0x3c10fbf4, 0xc656c722, 0x0884fe33, 0xfc2481ad,
+    0xbaa0ed28, 0x5bade722, 0x633a0f0e, 0x254f3a35, 0xc4edea05, 0x1fd65850, 0x3ca355f9, 0xceec184f,
+    0xed03334d, 0x44f5ade6, 0x389bc3b0, 0xad5d19fb, 0x25ae836c, 0x98006d1c, 0x6d3e31e2, 0x151ecc91,
+    0x5f4b4f6a, 0x51e4b2a3, 0xc3251247, 0xb0f6eafd, 0x1778eada, 0x02bdd9b1, 0xac94ae11, 0x5478d5f0,
+    0x7ab26b19, 0xd8be4d5d, 0x9437a8aa, 0x3da715e7, 0x618fe6b9, 0x7809fbf5, 0xfb6df544, 0xadd1a0b6,
+    0x18b8834f, 0xd3e98792, 0xb1ac19d1, 0xd4658670, 0xc0244e62, 0x64a30b98, 0xc1343175, 0x526a4599,
+    0xff8be553, 0xc60b0f22, 0x2f940ab1, 0xf8f9355b, 0x7f608d8f, 0x787ede78, 0xdc84e8f4, 0x07fe78ac,
+    0x49ac68ed, 0x6b9b6e91, 0xff98acae, 0xbdeab5f5, 0x6383ff30, 0x59b7b6aa, 0x7eef4599, 0xd4f72ceb,
+    0x0bf992de, 0xca442f33, 0xe92404e1, 0x46fe84de, 0x5b38c652, 0x360ff0d6, 0xbc5e6dfc, 0xa6d08dba,
+    0x39e8de45, 0x6bb6f897, 0xa17cee7c, 0xbc625a69, 0x1cc19771, 0x724d8545, 0x4278bed3, 0x1a6952e2,
+    0x2a63b12c, 0x8503f197, 0xa7d0e453, 0x7b95d9ce, 0xcaafd196, 0x1213f9ba, 0x11b614b3, 0xbf624529,
+    0x33b031f8, 0x58428062, 0x8cfc9dd3, 0x97b83f61, 0xd98de131, 0x453f2883, 0x0b993a67, 0xf838cae7,
+    0x4d2f1af4, 0x01e6c16b, 0x67fc37cd, 0xb7e92ebf, 0x1443f92d, 0xe289dd7f, 0x2ae6faca, 0x55aef10e,
+    0x584cd59b, 0xde25a437, 0x719a1c72, 0x38176bbb, 0x10e83533, 0x90b08701, 0x281e8990, 0xf604291b,
+    0x48c83f68, 0x5d67cc3c, 0x1d5640f2, 0xeb400da6, 0x8d7d394a, 0x093a7b9c, 0x9cf23cc2, 0xb3c560c9,
+    0x79a64538, 0xb6bf4723, 0xb502a063, 0x0a64fe20, 0x23dab8d8, 0xf8ddb933, 0x649048e6, 0x8d7609bf,
+    0xb0b4f07d, 0x9d56a125, 0x5af2c555, 0x27362008, 0x0e3a8d4b, 0xd4ecb3d1, 0x361c8a2c, 0x9fc5b610,
+    0xd42ca6b6, 0xb09a6c88, 0x1bc9566f, 0x8d73718b, 0xaf726e95, 0x24e6f263, 0x90eca886, 0xbef17d71,
+    0x8594b2be, 0xa93b5a7e, 0xd00f656c, 0xdfb08e48, 0xc59a6e79, 0x3388e3d9, 0x6bda79ab, 0x92c0ead7,
+    0x3ea82f85, 0xb654e51f, 0xceed04f0, 0x3811f706, 0x7f14ac1c, 0x0870aaed, 0xa80671c8, 0x304fa74d,
+    0xb42433ca, 0xccb70489, 0xa6537a5a, 0x291a30a8, 0xc4609373, 0xc62b7987, 0x29608ebc, 0x05853068,
+    0xae3906a6, 0xd55f71a8, 0x692bc2d7, 0x1b8e24d6, 0x7acd217c, 0x5e246ede, 0xb26c3bab, 0xb888ac70,
+    0x9eb5e592, 0xfff56470, 0x85284848, 0x9dc273db, 0xd6af48ed, 0xd9454183, 0x3b6f836a, 0xf6563af1,
+    0xcc9a6b01, 0x67c4aa0a, 0x729b7fb5, 0x1c083f2b, 0xcb8e7305, 0xe4d51a85, 0xae63ed1a, 0x6ec2a4b4,
+    0x31e98047, 0x4be6cac1, 0x398a3e80, 0x66b1c3b0, 0xa512987d, 0x58ec9790, 0x1a3d11c8, 0x4ab03511,
+    0x3d870186, 0x17374fff, 0x07c14dfc, 0x6d3ddc93, 0x868fb8ce, 0x53d3f261, 0x832c3b33, 0x91c663fb,
+    0xb88b08a6, 0xfad036b9, 0x2dd8497e, 0xcfff5003, 0x48887bc8, 0x4a93950c, 0x3d6bcfc1, 0x3819fc4a,
+    0x840bf13c, 0x0ec76ad3, 0xf3c1728e, 0xe0e47bf9, 0xde58fc95, 0xc27b3b33, 0xed73f11a, 0x83c6f23f,
+    0x0132a1d8, 0xe07825be, 0xa81e5ac0, 0x8e017ffd, 0x2515cb7f, 0x17b00803, 0x13d2c44d, 0x2ced14b3,
+    0xecf3eb80, 0x7c33e4d2, 0x06c4ebe8, 0x76780ae9, 0xf35521dc, 0x8eb37d67, 0x042a6932, 0x80f75efd,
+    0xe4f6a16b, 0xbe94a119, 0x17aa52c6, 0x1b1cd498, 0xaa4225dd, 0x4ce141f6, 0x3e24e006, 0x9b84798f,
+    0xddcdfc6d, 0xaa7846c4, 0x7c7a34ea, 0xded65a53, 0x48ea4882, 0x540c3c25, 0x9706cad1, 0x2551ad3b,
+    0xbffc6392, 0x4cd562b3, 0xb73f6860, 0xf8793b96, 0x495425bc, 0x538551a0, 0x51a0c7b2, 0xaabfa73d,
+    0x58402949, 0xf77bab0c, 0x7966ffdc, 0x19a9f1db, 0xa10c2634, 0xe4401b8e, 0xb67ca786, 0x43ee2da5,
+    0xe4f899bf, 0x1c62898d, 0x6b660e37, 0x85e47574, 0xd88b6712, 0x8e440bb1, 0x9930df1e, 0x0e7951df,
+    0x24e606e3, 0x36634e5b, 0xe3b4426b, 0xd77bae2b, 0x59d2d932, 0xfb38848d, 0x77dbc8a4, 0x07ccfc46,
+    0x6ee6e1a0, 0xb73ae058, 0xddf48f05, 0xe5e54727, 0x2c563fbc, 0x4e460b54, 0xccbf48e3, 0x698f7948,
+    0x88a9461e, 0x09074d6d, 0x535060b8, 0x82f49753, 0x96bbff31, 0xe482e3c9, 0xada06311, 0x560c896b,
+    0x8a1d7764, 0x76042874, 0x75de1def, 0xda8b4c1e, 0xb8166bd8, 0xbf7c9ce9, 0x7ce53a1e, 0xf4cabf1d,
+    0x9d779c51, 0x09d6efc1, 0xdd261df7, 0x8b62b8a9, 0xf67fdf33, 0x5fa41546, 0x09c20d94, 0x946547bb,
+    0xc0f02c6b, 0x44dcb2ff, 0x9923a941, 0x8d29bdf8, 0xd7450c57, 0x9f881694, 0x08a6bc63, 0xac09c9da,
+    0xf245a9a6, 0x65962df1, 0x05f8ca07, 0x9164ac1f, 0xdcd03128, 0xa51428e4, 0x88091491, 0xad944a94,
+    0xccb9bf86, 0x3a937507, 0x6353b593, 0x6492c7a0, 0x75447d73, 0x82370848, 0xcac31b69, 0xe54d5634,
+    0xdc1ae024, 0xa4e689a4, 0x5b9dacb6, 0x94875041, 0xedc16b4c, 0x271f95c0, 0x5e1cd441, 0x3eaff5cf,
+    0xf6bf562c, 0xbd402af9, 0xd752667a, 0x6329dfad, 0x94f886a4, 0x4e49b9e5, 0xb039f050, 0xe0e6787f,
+    0x02165969, 0x86d33495, 0x1a9a4a57, 0xb8204358, 0xceb30401, 0x4962295b, 0xdd460758, 0x2ff61eea,
+    0x16f962d3, 0xa8792a41, 0x57b01096, 0xfd0e3e4e, 0x3fe986dc, 0xa4e94aca, 0xda716afa, 0x6f162489,
+    0x2d467162, 0x65f47653, 0xc577b538, 0x4e5791b7, 0xe7a8cd5d, 0xc9755342, 0x5a9a40f3, 0x2712fd0c,
+    0x94769931, 0x700c18df, 0x71e2a948, 0xda359e7e, 0x91fcd28a, 0x69a3bb39, 0xdd1654d1, 0x545521aa,
+    0x69e14f46, 0x51bf6a22, 0xf82c6b2d, 0x4137da57, 0xe4a9a920, 0x25e2f92f, 0xf6b8771b, 0x0f955047,
+    0x2cda1358, 0xf7deed02, 0x6c4601c3, 0xa2a5aa9f, 0x4200f67d, 0x43553c24, 0xc61ca25c, 0x68617d28,
+    0x1eb904eb, 0x57ee44ff, 0x0222d68b, 0xd20747e9, 0xaf9f6a7d, 0x9f7331bb, 0x84f7f50a, 0x8f851b8d,
+    0xb8114026, 0x6222065e, 0x9247cd1f, 0x08278a9e, 0x0f0f780b, 0x02722a3b, 0x8f8bb4ae, 0xb042c28a,
+    0xe07f4a63, 0xc4cb1749, 0x18a487d4, 0x6a05fd79, 0x492e0b19, 0x45b3e3d6, 0x23f1af36, 0xd65ff923,
+    0x5726e73e, 0x1c9a1872, 0xeb0775e3, 0xa55e8470, 0x176b75e3, 0xd05e9287, 0x04fc803e, 0x75584a50,
+    0xd34f9376, 0xc18b2193, 0xdcc7268c, 0xd1323720, 0x84f44987, 0x3799d341, 0x58ab5094, 0x4235e6ab,
+    0x46ab4740, 0xd32528df, 0xc3b7fa70, 0xa91d8955, 0xe56d6306, 0x24dcfa3d, 0x8d44b0df, 0xdd10153d,
+    0x6e8eea4b, 0x791b0ba0, 0xc05d50c9, 0xc0435bb7, 0xa7773155, 0xd3b84737, 0x813c7daa, 0xfb6fad15,
+    0x62bda814, 0x5a06d6d5, 0x31bca9d6, 0x3d7b01e1, 0x7139dad2, 0x10803f2f, 0x6e62e85c, 0x480f1d9a,
+    0x4e3a9d0e, 0xce70222e, 0x27bc7cda, 0x72049eb6, 0x42f2482f, 0xdbfa3838, 0x371d9f08, 0x75da9e4c,
+    0x6e317e5b, 0x18123166, 0x3687a8d8, 0x75587c2c, 0xd88ca526, 0x86e45f23, 0xdc3d51a1, 0x394df52f,
+    0x2be159a3, 0xaca85654, 0xdfee8f59, 0xa97a57e0, 0xa56e06e7, 0xb7837b56, 0x4dd2a3f4, 0x25dda6e3,
+    0xbf47828c, 0xba95cb6d, 0x716d10c3, 0x827aa7d9, 0x4c3fd0f0, 0xefd4bb96, 0x85f83984, 0x9e2c79ea,
+    0xa4eb308e, 0xabb2a12c, 0xd35ab73c, 0x7c748d01, 0xe5bf9c80, 0x8a0b03d1, 0x9efedee8, 0x7c81a3bf,
+    0x3e5d8f31, 0xfe4d45dc, 0x506734e8, 0x6f13ccd4, 0x3864c95a, 0x15056785, 0x0115024f, 0xc2b9fd63,
+    0x01555d44, 0xe64b5a22, 0x877f4fcc, 0xdab0b272, 0x09331ea5, 0x21078753, 0x51e9634a, 0x2fe17b8c,
+    0x1c5cfb4f, 0xbf4cb125, 0x3ae88706, 0xb9296c44, 0x47845f85, 0x9cd714f4, 0x959b995a, 0x4d7c68ae,
+    0x1567d9fa, 0x1613d1dd, 0x0032e6be, 0x7f78bcf8, 0xbe208713, 0xf9a2c354, 0x9722f70f, 0x57d00a55,
+    0x663f45fb, 0x348fceef, 0xa9c23069, 0x13fc8a2d, 0xfb2e26f0, 0x323156ec, 0xed202a71, 0xe1014047,
+    0x7545ef66, 0xd1e81851, 0x2a12f7e5, 0x82cfb9d9, 0x18f65ab9, 0x3399bf61, 0xa875e54d, 0xd2cbbc6a,
+    0x136cdfed, 0xaf7425a5, 0xea596e1b, 0xfd9967b2, 0x8ad7be33, 0x2c307a69, 0xc1508521, 0xb4af6bc1,
+    0xcf9a8f9f, 0xd57d706c, 0x0ee26ca8, 0xe75bdf46, 0x07239ad3, 0xff45162f, 0xeb70a036, 0xfde3caf6,
+    0x94658a4e, 0x66597a8c, 0x275203eb, 0xf9b0053b, 0xf012c54f, 0xd327fedb, 0x9556752b, 0xe21e4206,
+    0x3d5d10e6, 0x17dff700, 0xb1a47e65, 0x166ed3b0, 0x77bb6b7f, 0xee337573, 0x94a3780d, 0x92e65f64,
+    0x14df9cca, 0x3f8a49b1, 0x4efe6489, 0x7465bc53, 0xddaa8db2, 0x65440df0, 0x2fd5406e, 0xc359b878,
+    0x5141bf82, 0x2c7e03c8, 0xfab16749, 0x0230019c, 0x8e53210b, 0x632c4591, 0xd7aec6da, 0xc5ac905a,
+    0x3ca7d6db, 0xad9ec030, 0x98bf2661, 0xa78ad852, 0x78dc14aa, 0xebc76cae, 0x4f956322, 0xa24edae3,
+    0x24b25931, 0xd91858d4, 0xc1e5f851, 0x8bfe331e, 0x25250998, 0x49fe6748, 0xc4bd7827, 0x0dc29d42,
+    0x51091d5f, 0x2800491a, 0xd9bbf490, 0x933a3bf0, 0x42f850e8, 0x3c570363, 0x329fd8d5, 0xe6a7d22e,
+    0x0d8a83c5, 0xd1c95ec4, 0xf9f996d3, 0x0d92a9e9, 0xa56473bb, 0x26735613, 0x8a56edb5, 0xe0fe756b,
+    0xa7ecb24c, 0xdaf52301, 0x8ae26885, 0x5b36fd82, 0x734b1a94, 0x7b14f423, 0x0e939814, 0xdbcc8145,
+    0x5b4e9835, 0xa9b894fb, 0xe0b548cc, 0x13e0d66b, 0x380bf021, 0x7b9c241a, 0xa043cd3e, 0x39b20af0,
+    0x08e6a1d9, 0xbec7ebfc, 0xeeed7772, 0x48e4988c, 0xd0efe760, 0xf52353bf, 0x39858a1e, 0xb4ce186e,
+    0x97e302c2, 0xa1019de9, 0xdb266e44, 0x777bc22e, 0xcaa7bbac, 0x4a3cf5f4, 0x87a75892, 0x3f6d944c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000089202980794122492566142873090593446023921664 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059281, 0x2599349c,
+    0x00000000,
+    0x9efb559a, 0x87c301e0, 0xbc2affe8, 0x614e4ab8, 0x762d0dae, 0x08265327, 0x9053db57, 0x2566c6fc,
+    0x08b0ae13, 0x6c569fac, 0x6f6c7f4a, 0x542b1c08, 0x47bad90c, 0xacfa14f0, 0xca5019ed, 0x9d41ef43,
+    0x53acaeb7, 0x852b8844, 0xef6565a9, 0xdca88218, 0x4501e9f7, 0x77efd1ea, 0x79416d00, 0x7ec32f66,
+    0x4775c6e6, 0x9641da6a, 0xd9e447b2, 0x18ce1f0c, 0xbb993e20, 0x9fa0a1b1, 0xca4f0e69, 0xdc5d4514,
+    0xb480af5b, 0xf952ca09, 0xe43b90b3, 0x9259f603, 0x0b504794, 0xaff4a6ae, 0x223549e7, 0x75bfc629,
+    0xea342972, 0xee8ecc4a, 0x14c13af9, 0x3b5bc7a9, 0xaa835732, 0xf8708cb8, 0xc41622ba, 0xf1dd6f31,
+    0x340b00da, 0x132509b7, 0xd18f0092, 0xadbb3e0d, 0xdde54f3b, 0xd5a6fbf9, 0x20b34443, 0xc01091e9,
+    0x29f5ac81, 0x9e00b5be, 0xeb1fdade, 0xdef79e61, 0xd74b779b, 0x3cc172f8, 0x68b8e40d, 0x97457448,
+    0xd9a15d35, 0x4f8f8bc6, 0x6e32c396, 0x69442cda, 0xf63d1344, 0x90e9006b, 0x107ebc5b, 0xf76ce042,
+    0x0d3ef907, 0x89f72714, 0xd0c6e092, 0x710e04d5, 0x178a976f, 0x7556e9cb, 0x8af9f379, 0xaeabf521,
+    0x10fe3e32, 0x6eaa60b3, 0x72c62dc4, 0x9d06f722, 0xe2b448da, 0xe2a0dba4, 0x3a9d05ea, 0xb0d07769,
+    0xdfbacc1e, 0x36c3cdb0, 0x6c7275eb, 0xf50f485d, 0x5d53a87b, 0x91dd1300, 0x783ee56f, 0xb80ad8eb,
+    0x8a0b66b7, 0x79ae8f93, 0x93011031, 0xd92dc74d, 0x514872ba, 0x0fc380fb, 0xb5f73b50, 0x94bcd0bf,
+    0x849cdde1, 0xe317ef67, 0xc3636907, 0x22e711e4, 0xfc610c05, 0x3ce2c16c, 0xc7f4c406, 0xb95197b0,
+    0x69f0be5e, 0xd4106ae7, 0x08173c12, 0x105d0d61, 0xd68b9348, 0xe2477814, 0x2bb1735e, 0x8e420266,
+    0xcc9e96cb, 0x011d82aa, 0x6d1dcadf, 0x99a75e74, 0xf9d68316, 0x86bac393, 0x386c2227, 0xecf354ae,
+    0x3d85a1de, 0x1891074a, 0xafe644b9, 0xe63f6d6e, 0x56eba55d, 0x44e3ef96, 0x97096c93, 0xd8f753b7,
+    0x5b4ec3f8, 0xda92edff, 0x910219a2, 0xb86b58d4, 0x7e7f899e, 0xed35e3d9, 0xe089e514, 0x13ea5d2c,
+    0x9015029f, 0xe94aed17, 0xfe6fc3e3, 0xe91a4cc6, 0x1477ff7b, 0x9b3ccea9, 0x7a23342b, 0x7fb96166,
+    0xbf2d496d, 0x765acd4e, 0x76551d4c, 0xa53c6371, 0x4cf09984, 0xf48b49ef, 0x52b1ded7, 0x96111c9c,
+    0x217de398, 0xecab7833, 0x31418741, 0xe593c005, 0xa2ffab63, 0x2ee9d680, 0x50e66393, 0xbd3bf2d0,
+    0x839bea15, 0xa96e0870, 0x0ab4cbbd, 0x3722dd33, 0x890c2cc9, 0xb81dfab8, 0x830a5904, 0x3c8dff9e,
+    0xf0668f86, 0xa31aa1f6, 0x37325dfd, 0x0be2ed99, 0x8b4b1907, 0xba9c83d6, 0x88ab8cd5, 0xec55edc0,
+    0xac8a4fe5, 0x97efc805, 0xf3e9c8a2, 0x559646df, 0x15356c06, 0xa4cb5912, 0xec695191, 0x51b5ca56,
+    0x7c9e5b65, 0x1808f357, 0x054eb0fa, 0x9d6e6fd7, 0xb4a13937, 0x24f5f44c, 0xa897df13, 0x5545ed40,
+    0x938a93f0, 0x82933c95, 0xf0a933ea, 0x8bbeed04, 0x4abf5fc1, 0xe1f1955c, 0xaabb3f26, 0xc32b558b,
+    0x9417e755, 0x8efb8630, 0xbebf76a9, 0xf993aa3d, 0xd018f405, 0x8f130014, 0x6151e11b, 0x500bf88e,
+    0xfed447c9, 0x08f881b7, 0x3cc524b8, 0x0d660f6c, 0x1db83f09, 0x41c0d155, 0xbfe06b43, 0x744f3208,
+    0x200f3e28, 0xfffcb122, 0xfad48d06, 0xef130f95, 0x56885fe2, 0xd2893434, 0x4a3f9775, 0xe766e53b,
+    0x56a72286, 0x84747d11, 0x8209fc4f, 0x3ce05cb4, 0x87e24e52, 0x134982a5, 0xb9d52e1a, 0xa9f3bcea,
+    0x7a7b6bcd, 0x20d6cd8e, 0x769769c9, 0x2327a155, 0x20c59f7c, 0x1a6b6463, 0xbbcbeeef, 0xfd22b17d,
+    0x904bc253, 0xd5211409, 0xaed2749d, 0xd3fcc6bf, 0xac64c012, 0x8c57bbef, 0xcc89ecf8, 0x810c6e95,
+    0x3bf4b47a, 0x1163c312, 0x3bee7b7c, 0x7f69ccec, 0xda5b6e58, 0x64e080ca, 0x190e6690, 0x0f8e6b3c,
+    0x50931f93, 0xef14ce7f, 0x3319d9f7, 0xbf4b7767, 0x1afd968a, 0x05c7c9e2, 0x6056a3dd, 0x8180dcba,
+    0x24dc1db9, 0x1a095507, 0x188e4b9f, 0xfaaf2521, 0x03759d8c, 0xe6fe708d, 0x3f3ddca6, 0x9ca97f6f,
+    0x05b473ac, 0xac360904, 0x6c9b966f, 0xe1ba5620, 0x50a968a7, 0xb16717c4, 0x5964a78a, 0x6764346c,
+    0xe613d765, 0x62b44ed4, 0x4105ccd5, 0xdc7cda29, 0xa7b12984, 0x4b2c4e50, 0xe21e1c99, 0x2bd506c7,
+    0x1c6a0445, 0x287a4dd4, 0xc69ef421, 0xbf5adaf3, 0xd5363b68, 0xfcab4214, 0xc3fa8f5a, 0x3aefdea7,
+    0x61bebbea, 0x6eb38633, 0x5bc8bd88, 0xc64ef0b0, 0x454cf2aa, 0x906f4dba, 0xbb0be4e5, 0xd710e6c7,
+    0xd66344c4, 0xf0f02910, 0xdac46878, 0xd709bd4e, 0x91cb5693, 0x1c474b07, 0x96b9caea, 0xec1ef33d,
+    0xe4ea1262, 0x2eea171d, 0x63709fb8, 0x87a7b620, 0x3a42c1e9, 0xb3fe28d7, 0x8a6d748d, 0x00fdbf4c,
+    0x2320326a, 0x18f862a9, 0xb3a1c32c, 0x90990f58, 0x11c06f35, 0x63da3ba6, 0x210963c0, 0xa810bc71,
+    0xdbbc878d, 0x9fb05bf6, 0x813b7d78, 0xa3ceacd2, 0xe8c75a1a, 0x98ce9dde, 0xcd30ea33, 0xb2b3a10e,
+    0x998f9382, 0xbbbf7579, 0x9fd90fae, 0x7b994672, 0xcf14ab4f, 0x9968663a, 0xef0925b6, 0xc2274ef8,
+    0x89b86348, 0xc28cc969, 0x5defb8eb, 0xcf58d940, 0x744ddcdf, 0xcd67a8c3, 0x55f5dc37, 0xcb5c7690,
+    0xdf084d56, 0x703e193e, 0x06ba5c4b, 0x256e25f5, 0x26ea1210, 0xe5b419ee, 0x6074e0a4, 0x0c42f4f0,
+    0x4a1db279, 0xb3e74e03, 0x7cdd2f49, 0xc4974b4a, 0x9f557591, 0xc76583d9, 0xe3641d65, 0x1709ae6b,
+    0xe95c9b44, 0xf6869f8c, 0xae5a55e2, 0xd99e2ba8, 0x1e319123, 0xa0854253, 0xba05c51a, 0x45c18983,
+    0x91cf97b4, 0x659bc956, 0x1550e0d1, 0x31a137cd, 0xf9eb87e3, 0x3867f297, 0x89fe0f05, 0x11e345ed,
+    0x6172d85b, 0x083cfcd3, 0x35a8f6da, 0x974209b2, 0xf1ba3070, 0xd72f39ab, 0x26aab6a5, 0x11ee0112,
+    0x914d9580, 0xce3d39c7, 0xec1edd95, 0xd723e8db, 0x5eb37e19, 0x3bf359f4, 0x2c720017, 0x7828c94c,
+    0xb12e7f47, 0x40e5b719, 0xcaf28015, 0x22f4f030, 0x266a30b5, 0xb221b9cd, 0x26c2fd0e, 0xed376120,
+    0xe43718e6, 0x5c7c87d4, 0x31d96b7f, 0x6a3b0e08, 0xf342db99, 0x175c89d1, 0x5ae69dae, 0x8897edd4,
+    0x7a2ad262, 0x03691c4a, 0xcba3cdbc, 0x69bd80b1, 0x124a64a9, 0x6467995a, 0x74fcff7c, 0xedb5fb45,
+    0x84e58015, 0xdeaae383, 0xf3493c3d, 0x89f65132, 0xc8b2b054, 0x8c48833b, 0x75f49b28, 0x34830667,
+    0x055104cf, 0xcd6e8b6a, 0x450b6515, 0x894172e0, 0xbb39ba75, 0x262af3a7, 0x87defc1d, 0x6ecc46dd,
+    0x691c4e17, 0xc44fb184, 0x8e02ff34, 0x842c1ea6, 0x316cdc34, 0xd98176b5, 0x4f1f33dd, 0x6359e0c9,
+    0xddc1c7fe, 0xc337a8fe, 0x9484efa9, 0xc340736f, 0x73aed8f9, 0x6687e273, 0x98130565, 0xd530a8ae,
+    0x442da7b6, 0xec20cbf9, 0x167316dc, 0x3d447dce, 0xe21fb6f7, 0xa6a7ccd9, 0xa7755f19, 0x3ed592b8,
+    0xc73409d6, 0x1e1ef512, 0xce59bb59, 0xbc015c13, 0xc189f9ce, 0x7312c145, 0x2885f0e0, 0xcb5d0ae1,
+    0xbca6c628, 0xc8afc477, 0x192db9f2, 0xff0efd1e, 0x29f845cc, 0x88c7020b, 0xee614166, 0xc0d4a925,
+    0x74f46cf6, 0xca74b27f, 0x5246545b, 0x0aa05b30, 0x775395fb, 0x2d061393, 0x0f9469e0, 0x9dc8bbab,
+    0x9cbf26b4, 0x1bb0560a, 0x57e61fbc, 0xf847456b, 0xd1ee00d4, 0xe9aec04e, 0x10598218, 0x14c528f8,
+    0x83716ea9, 0xc93c450b, 0xbf791f8b, 0x158c1e3b, 0x26ecc4a8, 0xacc96dc3, 0x3110b99b, 0xc4b58b05,
+    0xcf6bd198, 0xa2f1110a, 0x1fe22f72, 0xd3ea0146, 0x736edb3d, 0x567bd2c8, 0x27b508e0, 0x10ca4018,
+    0x561298ca, 0xab1f4595, 0xef60e430, 0x83cf106a, 0xcc0fe9aa, 0xae558c50, 0x05d35b31, 0xb46dcb3b,
+    0x3a07f578, 0xb609c4c8, 0x68e4159d, 0x2064d84b, 0x876013b1, 0xefb7c092, 0xb78ab6f8, 0x42f8f8a3,
+    0x9d3d9585, 0x000930b4, 0xd81f93a1, 0xfe5c43c4, 0xdb68cf4c, 0x2871c6c7, 0x9ed846d5, 0xeb4a51b6,
+    0x1a6120b5, 0x67cbf97e, 0xb793e92b, 0xd18fe16e, 0x44b2bddc, 0x002a26ac, 0x280900da, 0x00e603fd,
+    0x2ca3ff0d, 0x5b6f5282, 0x6641ca4d, 0x3c65ffa1, 0xdb1894f2, 0x616260a3, 0x357df326, 0x8d2e58ee,
+    0x8f5a7a9b, 0x9ddc69da, 0x43ac5a9c, 0x63022fad, 0xe7394009, 0xf000beb8, 0x5257a0a1, 0x2de3b8d0,
+    0x57d984a9, 0xb570d5bf, 0xf2812323, 0x6005c609, 0x1d2cc98a, 0x9d6ca708, 0x488f4063, 0xce634c2f,
+    0xe40429a2, 0x9068f83e, 0xf293f060, 0x9a671850, 0x87e899f2, 0xdd1b2bbe, 0x68f8a6b7, 0x43fc91af,
+    0x1562d08f, 0x9de2538c, 0x34839dcc, 0x1bd4dd41, 0x1829d72a, 0x71be2df6, 0x6865a9e1, 0x63c16d1a,
+    0x1b8e3b5f, 0xc24a3733, 0xd02aaad8, 0x81849d70, 0x60eb918a, 0xc6bb4099, 0xc49ce505, 0xef92952e,
+    0xaf854c1b, 0x27329367, 0xb8d6ec8b, 0x3bfbd6d9, 0x00ca117e, 0xc3ce5d02, 0x1264492a, 0xd24d6d35,
+    0x032ac244, 0xce399ae6, 0x7f590d77, 0xa7aeb670, 0x25180365, 0xb87fffcd, 0xb5d72177, 0x0ad5ff0a,
+    0x64df0daa, 0xfa4e9858, 0xdcbbdf81, 0x18bc8e35, 0x9ad7e90c, 0x8e038c53, 0x3373f9de, 0x67e26a30,
+    0x49663675, 0x1201dcef, 0xfb895fd8, 0x871639b4, 0xda449aea, 0xa1b536ad, 0x1e7fd896, 0x9d4ed9ca,
+    0xa4af0209, 0x8854f936, 0xc8114da5, 0x7e973d72, 0xc0a91f9a, 0x1464195b, 0xf2290337, 0xa8bf2b13,
+    0xe947ee18, 0xd24c2664, 0xd36b05c0, 0xe1e87a15, 0x45a29ead, 0x9bf44e60, 0xc2541050, 0x392f3fe1,
+    0xcc41c231, 0xb13a9b6f, 0xb4241a11, 0xefae2f5c, 0x92a66901, 0xe2c2f2b6, 0xe5786b10, 0xbee608e7,
+    0x0633ac28, 0x1cb018f9, 0x0fd3fca9, 0x431135b7, 0x0d5be787, 0x2ca06790, 0xdaa1e583, 0x7d33d864,
+    0xb06aa7ab, 0xded06af4, 0xcf287ce1, 0x32563d84, 0xebbba208, 0xb7150d45, 0x0ab40850, 0xf061f421,
+    0xa4ac2d7a, 0x632cc092, 0xdf237c1e, 0x92ed7551, 0x4eb22ed4, 0x981081bd, 0x0228a02d, 0x9ac41828,
+    0xa0c3eae5, 0x2718a52e, 0x44367dfa, 0x1de05400, 0xdae7ad01, 0x25aed800, 0x0684ea15, 0x5f7cf091,
+    0xbf094115, 0x23a5d09e, 0xb3e3b2a2, 0xb3f8f9ec, 0x1ad9801f, 0x93b613df, 0x19f8413a, 0x2350e269,
+    0x1c1f11c4, 0xffa0bcb1, 0x84201b68, 0xd6f287f9, 0x30630e50, 0xc20626ed, 0xc7bb3276, 0x6c98cd44,
+    0xc52c488d, 0xe8d39494, 0xc7895c32, 0x1976f115, 0xbe14b03d, 0xc665860d, 0x8dc91c64, 0x886b19a2,
+    0xce0ad848, 0xedc95605, 0x5bed726c, 0xb9df386c, 0x6313e317, 0x2e2a7c5f, 0x5148ea8c, 0x34407c0f,
+    0xe619eb63, 0x3f33cfb3, 0x175f53b7, 0xaf8b578b, 0xd71c0152, 0x2e3c2027, 0x593148f2, 0x09d1e17c,
+    0x28408e95, 0x9d1f1efd, 0x02871822, 0xd0ca84fd, 0x5f71a07a, 0xba2ea532, 0xeaff6b92, 0xb9b53e1e,
+    0x46455331, 0x9454b14b, 0x36254c30, 0xc5259bdb, 0x11c9672a, 0x56aaf4da, 0xdf3a483a, 0x8c50ed78,
+    0x38ab7ff1, 0xf4d5345e, 0x21b24632, 0xb326d412, 0xe5e5533e, 0xbdbd564a, 0x7e1dcb4e, 0xd72a2c86,
+    0x296ccc08, 0x9025869e, 0xcb38c928, 0x8e8f9136, 0x59a6391c, 0xc2ca4cc3, 0xca4caa3e, 0x93f64bad,
+    0x53c57bb2, 0x11000849, 0xf16ccf6e, 0x28ca873e, 0x96c1668e, 0xb3bd32bc, 0x24e3c889, 0x554df83a,
+    0x81f8fca9, 0x646cb8a7, 0x54f62051, 0x9d0eedb6, 0x90e6527c, 0x80eef553, 0xd006c983, 0xf48693d1,
+    0x5f16f663, 0x6bd8b095, 0x18e3d2d1, 0xbd7f93b1, 0xeb58d8d2, 0xbe9006f0, 0x9e2ba6dd, 0x37046b22,
+    0x417ab28d, 0x4c7248a7, 0x8f2a5d25, 0xd2bd1f59, 0xc6830d1a, 0x8aeadaa3, 0x2af67eb5, 0xc700ff16,
+    0x7a69ba15, 0xee864e2a, 0xee41a60e, 0x1fc43d18, 0x294cc2eb, 0xeb54d1ca, 0xe2a17e15, 0xbf2a5682,
+    0xd689348d, 0x508f52c5, 0x84064dbd, 0xe85ba541, 0xd7e74cdd, 0x065c9f6e, 0x2abc37e0, 0x68743681,
+    0x09414e55, 0x6f4d325f, 0x3925c09b, 0xb38e4365, 0x46d0c10e, 0x006e7498, 0x1348ceca, 0x020ece16,
+    0x626e4851, 0x7935f706, 0xdeeef847, 0x84bc8ae8, 0xca64586f, 0xa7820c95, 0xe2dccd0b, 0x7a81325a,
+    0x44aa71be, 0xb21bd0ac, 0x71deaec9, 0xf633eda5, 0xaf12c7e2, 0x3e64255e, 0x4e23f06a, 0x098e9454,
+    0xb215ed7c, 0x5e704425, 0xe99bc8f7, 0x4926bf0f, 0xa3e6119d, 0x661b4409, 0xce1d869a, 0xacd5809d,
+    0xc2bb3a28, 0x3d9476f9, 0x5a87765f, 0x1818e0cb, 0x4826dbe8, 0x663cb668, 0x8fc95ad4, 0x2729bcfe,
+    0x41e5520b, 0x306ab6e1, 0x6b1b41b2, 0x07a709c2, 0xa0353a63, 0x661331eb, 0x07f7b0ee, 0x3260bd07,
+    0x622b8668, 0xbb07f087, 0xef2d151f, 0x0238762a, 0xb96f5bb0, 0xe5928a69, 0xa0a725a1, 0x1cd3ba67,
+    0x4b14fc20, 0x852d0977, 0x3b58873b, 0x97d11bb5, 0x2c82001e, 0x2377afaa, 0x04706436, 0xe94e12dc,
+    0xa0e068b0, 0xc56084c6, 0x753f1c36, 0x0f660222, 0x6b51700f, 0xdffaa40a, 0x144abc26, 0x5c186415,
+    0x2702f73c, 0x73cebed1, 0x71b5ffe3, 0xa1e14fca, 0x644a078b, 0x7d4a49b7, 0xe4cc4112, 0x90126b46,
+    0x26c6c720, 0x00a4cad6, 0xcb40b5d3, 0xb881882e, 0xbeca5d27, 0x66ad99e2, 0x5ee4e153, 0x2c877307,
+    0x500e1b24, 0x1a506797, 0xe1dbac04, 0x92c11a04, 0x8ab7cfa7, 0xcf47d3a3, 0x0df46ef0, 0xfd528506,
+    0x771864fd, 0xdb04daad, 0x750aa978, 0x5ad4efc3, 0xacf719d2, 0x59f73653, 0xa79c12ad, 0xfd1bb058,
+    0x410638f9, 0xe837b1bb, 0xddab7216, 0xfcdccba1, 0x01ef313f, 0xfd5abb3f, 0x1acc73a6, 0x15a72a41,
+    0x96afbf08, 0xd35146af, 0x11c6e30c, 0x3b09c3fb, 0xa5584d0f, 0xac9f9ffc, 0x3231b88c, 0x21395ddd,
+    0x93394bb0, 0x212041ba, 0x8746b115, 0x19589546, 0xaa69d9bd, 0x93ef6693, 0x1b631819, 0xf71cd5f2,
+    0x5d2f9185, 0xa060d2f9, 0xd1999e4c, 0x2e4ebff6, 0xb053685d, 0x122b5ccb, 0x04122215, 0x217923db,
+    0xa794f9c5, 0xafd3da7e, 0xf21c2f82, 0x47f2f643, 0xba373890, 0xe4fdc0d6, 0xecbb8d6b, 0xc933731d,
+    0x45a330cf, 0x84a9e7fd, 0xc6073441, 0x7d9d1a44, 0x07d2f055, 0x9aaf15bb, 0x9c9d7fc4, 0x69a626b6,
+    0x5372ae65, 0x7f466992, 0x2322a21b, 0xac09b789, 0xeef3d08b, 0x264059c1, 0x832552eb, 0x15894d92,
+    0x93102f06, 0x6d0567b2, 0x443e7501, 0xffba6e79, 0x3ef0fbf6, 0x1467df13, 0xa6a7c694, 0xe11fc528,
+    0x8972c3df, 0xbe452c3e, 0x79b5011c, 0x21404673, 0xa3870389, 0xf2b49c70, 0xb5418dd4, 0xe0df082d,
+    0x9446b4ec, 0x6d7e4a2d, 0x4440ce52, 0x087aa6d7, 0x45838a51, 0x601b6bab, 0xbd4f9cb9, 0x20faec24,
+    0x9b30eae9, 0xc36fc769, 0xa88160e8, 0xbd962660, 0xbd8f60c4, 0xd1f6afc9, 0xa2ea7570, 0x90e5f5e5,
+    0xa50754d0, 0x2a14f8e9, 0x14a45fcf, 0x74eef664, 0xf18b435a, 0x6124e7f1, 0x8cbbb480, 0x2b4b8608,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000044601490397061246283071436545296723011960832 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c940, 0x92cc9a4d,
+    0x00000000,
+    0xc9bda278, 0x8117fb22, 0x924675cd, 0x2e9d715a, 0xf30dcaa7, 0xe7b0abbf, 0x6b732dd4, 0xbe01d4c0,
+    0xc39728e7, 0x6c124405, 0x93a8c6af, 0x0107aa24, 0xcf266301, 0x95b5a6b1, 0x4fd6a5c4, 0x2be52b86,
+    0x2f798494, 0x920fac44, 0x54970bc0, 0x2d6f7ae3, 0x5ce93a31, 0x98289a78, 0x23f1939d, 0x746c12f2,
+    0xf0236c7d, 0x0b73f118, 0xd03ed88a, 0xd4059b4e, 0xee0d3336, 0x44ab9642, 0x45464868, 0x588f16c2,
+    0xc105a66f, 0xbf8500e3, 0x07b66281, 0xf4e50303, 0x1b2c8e3c, 0xf6c2a4e7, 0x4a9b15a9, 0xa12d27f8,
+    0x47ff4e44, 0x56d5d467, 0x0a90a045, 0x7778d7d2, 0xdf9893b5, 0x7b0e2936, 0xba06560e, 0xbac66e3b,
+    0x31b609e3, 0xe0982ac1, 0xe8541d81, 0x99b58ae5, 0x36089ac6, 0xcdc7fd55, 0x25420dd5, 0xa23067d2,
+    0xb5651685, 0x9f5b71b8, 0x5357606d, 0xe9961654, 0xae14a12e, 0x0943743a, 0xb036d60d, 0x9dd93692,
+    0x9e7671c4, 0xb5cf8c94, 0x02edeb16, 0xb2668500, 0xff38407f, 0xf427e0a6, 0x9996f158, 0xef5dc931,
+    0xa049ae36, 0xc518e9a1, 0x1b0e4358, 0xfc056a17, 0x88997232, 0x59d3dd0f, 0xbb4ad6a3, 0x468c638f,
+    0xcc5eda98, 0x339d16fd, 0xe2cb92ec, 0x01f70c06, 0x7cc00c24, 0xe8f5ae1a, 0x59fcc3e1, 0x3e4d8b40,
+    0x3eb0491c, 0xfb7cb3a3, 0x9043f827, 0x1ca4be20, 0x97540ee4, 0x77754192, 0x6f92d86f, 0x2c6a570e,
+    0x2ff11f09, 0x1c2568cf, 0x0a5e4542, 0x9e3277e5, 0xa46c3aae, 0xaa163402, 0x4a1fbd7a, 0x0625143b,
+    0xea6b6f70, 0xb6bf71d1, 0x5336663c, 0xb71502e2, 0x49584ccd, 0x248f9cfc, 0x50956847, 0xca5de8bd,
+    0x2f2bb63f, 0xfabaf870, 0x49144e9b, 0x6b4f9b65, 0xfae90be3, 0x6cf34225, 0x26aeccb8, 0x6f0c8287,
+    0x327d6f2c, 0xdce46095, 0x1ce0fba1, 0xf4d76644, 0x363023a0, 0x693d38f6, 0x7966355c, 0xd54c0bf8,
+    0xcf0d322b, 0xf7801158, 0xd7c825f9, 0x6092b937, 0x4a37a47e, 0x051c5600, 0x7e6f0137, 0xbf815c6a,
+    0x733dfaab, 0x080b0f19, 0xac1daf66, 0x60f3c6c5, 0xc6b16372, 0x6053feb7, 0xac26ad15, 0xb3b1916c,
+    0xc9cf396b, 0xb78aee78, 0x681bebdd, 0x23788304, 0x64a20920, 0xec4ddc6a, 0x203053f1, 0x5a4aa55d,
+    0x4be4339a, 0xe8daa30f, 0x271846c6, 0x5cc697f0, 0x8e31af08, 0xca000b6c, 0xe58db3d9, 0xf6418293,
+    0xe72013da, 0x26b0b5a0, 0x1ed84db4, 0x7678071f, 0x8c004706, 0xc9161982, 0x2497807b, 0x86f6a882,
+    0x2dc2df27, 0x4686983a, 0x205aece3, 0x7cc0cdbf, 0x9f477eee, 0x936546f6, 0x6652c8d5, 0x6f7dbe93,
+    0x65e95d53, 0x9202c487, 0x9067bac8, 0x4e481f41, 0x6762bcda, 0x0b0d2598, 0x6c798498, 0x0b76b798,
+    0xc6fc38b0, 0x5fcd62f9, 0x899a00b2, 0x96bc57e8, 0x578ed2e0, 0x17063374, 0xbfb98850, 0x77a6c3fa,
+    0x79a45baa, 0xb9d3ec97, 0x4d7f9d0a, 0x49629d19, 0xcaa4f859, 0xb78e243b, 0xcda198ba, 0xb72f4d69,
+    0xa0ff374b, 0x80756785, 0x2096cb4c, 0xcd28f251, 0xcabc1c62, 0x3852bc52, 0xf341025a, 0x192ea05d,
+    0xc29699f9, 0xee9468e6, 0x0d0b5009, 0x293956a2, 0x2be55110, 0x8596606a, 0x5cae47de, 0x262f4e16,
+    0x853ccb2b, 0x6afacde2, 0x50c91906, 0xe41b4bb9, 0x5a43b0df, 0x15626e89, 0x75fa6a31, 0xd9dfa5d5,
+    0x0d8766b2, 0xda3db707, 0xdd842477, 0x487544cd, 0x46a626eb, 0x66f8ad2e, 0x2c1537c1, 0xa8ca6c0e,
+    0x524d6b54, 0xe0b31739, 0x110e6132, 0xb1ffbfd8, 0x18fc76b4, 0x601995a3, 0xfce3a328, 0x53d679eb,
+    0x3aebc7f3, 0x8f310018, 0xe60a9aeb, 0xfb25105a, 0x504745c7, 0x773313eb, 0x7a921cfa, 0xc04028f6,
+    0x85a0e7b3, 0x6e013c36, 0xe5e8a5c2, 0xdd5c34ee, 0xa39e3bc5, 0xa62eb21c, 0x4dba243d, 0x810b419c,
+    0xadec88a8, 0xbef59c66, 0x23395ff5, 0x780d1e8c, 0xc095f908, 0xb00686fd, 0x1949c7b3, 0x24f26e03,
+    0x658c2f5c, 0xec17f1a3, 0xfbb88cfe, 0x61b05b91, 0x7500caf7, 0xd7df23b7, 0x112576a6, 0x15bf0bb9,
+    0xa5c124ef, 0x1f015901, 0x3ae72e6d, 0xc1c9c563, 0xaa895a69, 0xfbb9c029, 0xe7800405, 0x7532a924,
+    0x5f672454, 0xb8b5a0e9, 0x8b9db654, 0xc6bc2307, 0x421032af, 0xcb8b2685, 0xf1bb0968, 0xee981459,
+    0x3366e6fb, 0xbe28c5f1, 0xcacd6c43, 0x43bf3cad, 0xa67f4c47, 0xd4b6f79a, 0x2b7c9f22, 0xec9ec7de,
+    0xe1584ed6, 0x6f19444d, 0xf7374400, 0x3ee8b516, 0xbaed7e3b, 0xac20c1ac, 0x6486dc1c, 0x90530298,
+    0x91db0044, 0x5a1fcc54, 0x1173cff4, 0xeda27324, 0x5104cc28, 0x84911dc9, 0x01a03ed4, 0xc88f53a1,
+    0x8433d00c, 0x0f528b47, 0x9931a3fc, 0x33c7361b, 0x881bdaee, 0x76ea67f9, 0x0e6b06fb, 0x8b78c9de,
+    0x9a6288f9, 0x46903bde, 0x938e35d2, 0x858609eb, 0xfe6e6b34, 0x126bd0e5, 0xe16ec653, 0x18717a5d,
+    0x82e6dcc7, 0x985bb99d, 0x790c6fda, 0x88913ecb, 0x02eddf2e, 0xab37baac, 0xae822763, 0xce4cb4c7,
+    0xe54bcfa6, 0x52147bf7, 0xd243fe0c, 0xe93b01dd, 0x3b4738a5, 0x077df996, 0xe8557abe, 0xf2fcc3f7,
+    0xd8882580, 0x8d6fb32d, 0xa38c0c7b, 0x41a2fd3b, 0xee5dd69f, 0xbc8a1676, 0xfcc346aa, 0xda2a6aaf,
+    0x83cc877a, 0x6a599dc0, 0x6434dbc3, 0xaca75dad, 0xec102af5, 0xbd666b23, 0x1c6132aa, 0x17cde4f3,
+    0x3af45d3c, 0x97b6ea73, 0x0c6154bc, 0xce23b7e7, 0x3204912f, 0xfe8e1292, 0xc6fb8e9c, 0x88a7826c,
+    0xd8be7a9b, 0x3447e146, 0x5d365bb9, 0x72826412, 0x6801736a, 0x14e099e6, 0xc03de48c, 0x1965c756,
+    0x68f7e62a, 0xd97fd9b2, 0xc2100043, 0x3c33c363, 0x34453fb3, 0xd127489e, 0x5d8421e0, 0xf8bda5a9,
+    0x4adb18ce, 0x880c9b57, 0xa4dd26da, 0x8799a9a1, 0xbab74281, 0xd0f3f357, 0x49cfbc09, 0x6134e7b2,
+    0x887275eb, 0x9e6fcf79, 0x102cfa2e, 0x28b785b7, 0x414a7842, 0xc5221111, 0xcb83043e, 0xc397880d,
+    0x5e1a5bc0, 0x42f13e7b, 0xafb49ac0, 0xfdd1b70e, 0x05be7033, 0xe335f532, 0x590de721, 0xc9317561,
+    0xfbb3a34b, 0x19684d0a, 0x2239a1f3, 0x6dad4188, 0x00f86c94, 0xa5830dfb, 0x87001efa, 0xdb84ba2d,
+    0x1b863495, 0xf1318dde, 0x568268fc, 0xf3cde2c9, 0x2f6a7c34, 0x32809b9c, 0x338f7dcb, 0x9ba60c78,
+    0xb7173297, 0xb16b22ca, 0x6fe09d60, 0x16b21fe5, 0xb49d3707, 0xa013d1d3, 0x10065ab0, 0x023d5ada,
+    0xb3ef4f6c, 0x222bb2ae, 0x30a5e7be, 0xa7be38b7, 0xf96d5d9a, 0x39bada98, 0x186f5404, 0x80ccf64c,
+    0xfcdec77b, 0x445c42b6, 0x7ff3221e, 0x04f603ae, 0x859c40cf, 0x353d3586, 0x8f6e1f35, 0xab91309d,
+    0x82e13726, 0xa0e418a7, 0x3b2c46c4, 0x537d54dd, 0x4e55fc4d, 0x072d9852, 0x9aacd688, 0xae0aa79f,
+    0x8f9cdf73, 0x44b568cc, 0x4a5dcf69, 0x3128b674, 0x5a297265, 0xc5d027d1, 0x8caf7f5c, 0x447e8965,
+    0xe932de9e, 0x0b01fd79, 0xd118aa2c, 0xe1e5b625, 0x2d854c66, 0x05ccc3a8, 0x8ee8ed6d, 0x8f0a2060,
+    0x745aae96, 0x9d3a347f, 0x84da3dd5, 0xc80f79c1, 0xf7cc6ab6, 0x93f86984, 0xa2902639, 0xcf087274,
+    0xac8bd307, 0x2195301a, 0xc2df0e4c, 0xa033fde3, 0x5536fb59, 0x2d2c73a5, 0x8f8436ce, 0xb96886c0,
+    0xb3f013fe, 0xfceb503b, 0xdecb03eb, 0x67a7db74, 0xfbfdd04f, 0x8cad30ed, 0xc146d4bf, 0xed04a3e7,
+    0xd232ff3e, 0x7dd088f2, 0x43544bc5, 0x7d9199f6, 0x1a903758, 0x508f5b51, 0x3aeb48c1, 0x8d353dd7,
+    0x85e07cb7, 0x16b67a18, 0x44682224, 0xd88fd26c, 0x3a4bec8a, 0x45783707, 0x6b528341, 0x59c2d71b,
+    0x2e92d7de, 0x6eb7836f, 0xe77d0c7d, 0xddf02bb0, 0xd08a2af2, 0x862ab240, 0x719f7e23, 0x505199ca,
+    0x482ade8b, 0xeb4cbfe1, 0x26462086, 0x944ab5ec, 0xa92a7d58, 0xe95da68b, 0xbef13f02, 0x9ad06334,
+    0x1a4310d1, 0xd0207ff0, 0x955083a4, 0xe9aee559, 0x9717b130, 0x9329f619, 0x1744538b, 0x7228ec6b,
+    0x5fc7d532, 0xd2c28f50, 0x9cba0a23, 0x56a1d8e1, 0xf4dd9516, 0xd92cf49d, 0x93f26dd3, 0x31267cf8,
+    0x658915e8, 0x27c12e5a, 0x0b1f8cec, 0x126c0393, 0xa77bae83, 0x3951a70f, 0x434cabce, 0x02353ccd,
+    0xbd1f1d7c, 0xff719e43, 0xab88f029, 0x30c7883f, 0x135d437f, 0xd1c757a0, 0x87617686, 0x3f8e5cad,
+    0x275b7ee5, 0xf1b17f96, 0x49b4c215, 0xa3e2c816, 0x2fd80309, 0x8a5b4e0b, 0x8efdd2ae, 0x19a45be2,
+    0x7d8eff8f, 0x96a512a6, 0xc0eed76c, 0x053a8ac2, 0x46657b82, 0x12ae4862, 0x13d66b93, 0xe4af7699,
+    0x7809c7b9, 0xe9107378, 0x720b6b87, 0xf86a7631, 0x481855f9, 0xae2fe8ae, 0x53ce91a7, 0x8a7d69c0,
+    0xd91f0f20, 0x56c36813, 0x22141bcd, 0xf22f655a, 0x0f738659, 0x0ecf707d, 0x51bfe8d5, 0x9b217a27,
+    0x4911fd9b, 0xba0fb2c2, 0x2aa9e935, 0xf3798da3, 0xd45b72b8, 0xd0ee7fd1, 0xf26612b9, 0x17b21583,
+    0xec441acf, 0x429a948f, 0x99862929, 0x213a6edf, 0x559da4b5, 0xc2df2e7d, 0xb0ad10fb, 0x5c78a0a8,
+    0x26f61ece, 0xb4b5b5a9, 0x738ecf32, 0x192ababe, 0x5181e31c, 0xc6198fb3, 0x1f828dac, 0xfbb859a2,
+    0x6f0453b7, 0x86be18c7, 0xb27c54be, 0xeebdd5e7, 0x2a93aefe, 0x57481fe1, 0x1b993fb6, 0x77ecd87a,
+    0x8f7427df, 0x74d06972, 0x8b3c0e69, 0x7d17327c, 0x895b05a6, 0x8cc2b2a2, 0xb39d805f, 0x04f6b674,
+    0x037d52cb, 0x6e38c9be, 0xb6571326, 0x9b2f51ac, 0xad86966d, 0x4093ece0, 0xb3757850, 0xa5baf6e5,
+    0x86f3e1b6, 0x1e0d0b72, 0xdd4fde99, 0xf0d472b2, 0x658afb4e, 0x6b238e5d, 0x3a87559a, 0x1df4def9,
+    0x6abcaa6c, 0xaa269e5f, 0xd12699ab, 0xf2a49577, 0x8e77520f, 0x0d9f3dd1, 0xfff07850, 0xf0d31f86,
+    0x07a4a4fd, 0x6751a2b0, 0x199a15e8, 0xdcba1f8a, 0x035edcd7, 0xf717ef42, 0xab1d8a23, 0x9c06ba1a,
+    0x9e038db6, 0x237b243f, 0x06ecf20a, 0xf53bddb0, 0x17ad8a8a, 0x543d6237, 0xe5136732, 0x8bf22b53,
+    0xe6e72692, 0x49f61a20, 0x29e2d360, 0xfb86b8e3, 0x35ce0db3, 0x8939b565, 0x5fd37575, 0x02bb660b,
+    0xdb3434d9, 0xa4993605, 0x1d0bd82d, 0xda0fc6cf, 0xed794570, 0x2f6bf378, 0xcf44234e, 0x55c73014,
+    0x9068b02c, 0xdeb82140, 0x6024cccb, 0x93b55d33, 0x7613ebe9, 0xde37ca72, 0xe6294f76, 0xb5b4c296,
+    0xb0ffcc64, 0xc7764455, 0xa0805d0d, 0x6f3d4f8a, 0xf12d3cba, 0x0aa29eb6, 0xdcaed196, 0x4eaa6de6,
+    0xd1355344, 0x8b8618cc, 0x24080dfa, 0xc8e0bd28, 0x0899e01b, 0x854b843e, 0xc9d313b3, 0xac388f00,
+    0xb9bbc43a, 0x8369435f, 0x8ef57d45, 0xcb414679, 0xf2d8b3f2, 0x982192e4, 0xc17be210, 0x02daa39e,
+    0x2c7ff4df, 0x60d27111, 0x60647d90, 0x94e4731b, 0xd427edbd, 0x87394e6f, 0x8f74cb03, 0xddda7a21,
+    0x8930c2c3, 0x7320fafd, 0xbb3a379b, 0xc6292e25, 0xb393b857, 0x3994e149, 0x0ed5627f, 0xdf34df0d,
+    0x6c2897c9, 0x773a9da0, 0xdd57aaeb, 0x19bfe2b5, 0xcd37588b, 0x7f1ed106, 0x94df6f31, 0xfc581030,
+    0x8b705d16, 0x66e4a976, 0x644919c1, 0xeb6e9419, 0x48be766c, 0xa21f8072, 0xf1ba68f5, 0xa8e7f767,
+    0x82b3f080, 0xf579ff3b, 0x127577f8, 0x5aa03b23, 0x5d404daa, 0x08d68c6d, 0xfd4f066e, 0xef95d2bd,
+    0xac280497, 0x8ae588dd, 0xd1952b8d, 0x19903964, 0x1e92222f, 0x0864a909, 0x4c1677e6, 0xa0d7651b,
+    0xaba1b807, 0xde00addc, 0xf4b71928, 0xa0bd218c, 0xfedb9dfe, 0x751c7645, 0x529d91ca, 0x56f8a6bc,
+    0x09d3bf4f, 0x0ec996c6, 0x3fc12e77, 0xfc659294, 0xeda0d5c9, 0x298e34e9, 0x724793d8, 0xb4d0ea34,
+    0x5929b295, 0x6f69c0ba, 0x02b51a48, 0x32aee4d9, 0x6939ffaf, 0xd4cea6c7, 0xf6b762f6, 0xb7dbc16b,
+    0xdbf6d4ad, 0xc8fd1bce, 0xba87d739, 0x0f2ea9e7, 0x48d9721c, 0x700e51ea, 0x849299d2, 0x4e548d2b,
+    0x615e13df, 0x3d4c2eeb, 0xda6c8f57, 0x7452c009, 0xdd7643e0, 0xc12cf6fc, 0xddb52447, 0xaa90ee64,
+    0xbf2b3362, 0xfcda3b66, 0x90e88cef, 0xa9ccfec6, 0xd47e2163, 0x8da07afd, 0x3eb1bd07, 0xa7503b94,
+    0x06fcb78a, 0x27beef67, 0x2b5bbba6, 0xd0c06f52, 0x5c75f2d8, 0x77e76d55, 0xbd705843, 0x4dbf1423,
+    0x362e98fb, 0x525a8253, 0xe186188e, 0x33b20479, 0x0c6da42f, 0x98de32d4, 0x6bc95efe, 0xa17219b5,
+    0x2d971c7d, 0x086f16fa, 0x4d459ab7, 0x4d646878, 0x9ca7716c, 0xddc584e8, 0x5f4f4d10, 0xfef495fc,
+    0x38d721cc, 0xe22c9ca5, 0x4d8e8987, 0x8b463888, 0xdd0a932e, 0x4d59c5a1, 0x4b6738a8, 0x25e2a36a,
+    0x8fc49217, 0x7ff0e675, 0x9cc4605b, 0x948fa61d, 0xfb049bb4, 0x887acac3, 0x864ef227, 0xea7b98e8,
+    0xb23c019e, 0xba75458f, 0x3a7d3168, 0x23a09d44, 0x4a3e46ad, 0xa4eb4350, 0x10907af0, 0xdc061705,
+    0x1074da4c, 0x511ff35d, 0x3961e96b, 0x8853a531, 0x057b1314, 0xfe031be0, 0xb401fba2, 0xcdca09bc,
+    0x29539e5d, 0xdda227b6, 0xe6cbd8c0, 0xbb553c7d, 0x92fd88dc, 0xf49a04c9, 0x178f0100, 0xb30bf145,
+    0x23c0b403, 0xf620e66c, 0x3c327d22, 0x5b73e463, 0x02b639b2, 0x2fc33c05, 0x556492d2, 0x0a42e8d7,
+    0x0776f824, 0x53578743, 0x523a705f, 0x8efb3438, 0x25404663, 0x952266d1, 0xbd309799, 0xff2c8050,
+    0xebfbd5f0, 0x4b349fcc, 0x9b660663, 0x0c44f86f, 0xc2a7fd0f, 0x20077a42, 0xba70a375, 0xc681d139,
+    0x67fd09ce, 0x6de40f3a, 0xd97b1aa1, 0x01522eeb, 0x13bc7965, 0x66d11a63, 0xa825b2fa, 0xa701e64b,
+    0xad0be61e, 0xa5e8e553, 0x065acad9, 0xe09be8bb, 0xb106a596, 0x00f382d6, 0x5b29a95a, 0x2bdb8a3c,
+    0x9e375666, 0x9a5d30b5, 0xf2d0f36d, 0xaba58e4f, 0xd4f798dd, 0x6683b33f, 0x46e49d07, 0x67a93770,
+    0x12548d37, 0x66c4ac68, 0x72bdcb86, 0x795246aa, 0xf5f26e84, 0x3453a392, 0x11251dcf, 0x2c6e10dc,
+    0xb3a76833, 0x5989ffc2, 0x73ab7b3b, 0xe7d69a9a, 0xcf575e0a, 0xd32429cc, 0x0429c35f, 0xa6091bef,
+    0xeaed1f66, 0x16bb3b9d, 0x85a2d8fa, 0x60af7056, 0xc57d85d3, 0x246ee5a8, 0xfd8c7c06, 0x13f0de91,
+    0xaa9d5452, 0x595c1d92, 0xcfe05599, 0xb0c4cb5a, 0xa8713020, 0x40572d1c, 0xe40af37a, 0x32b12257,
+    0x30402590, 0x4e5f6125, 0x8d24d485, 0x5ea04af8, 0x686f289b, 0x73ab675e, 0xc1b7bebf, 0x350946f4,
+    0x9dd27171, 0x4fd91f1f, 0x2899ddf1, 0x4efb70da, 0xba88f36b, 0x46d1b8e5, 0x7acdc2a2, 0x8034799e,
+    0xeb5c6d5c, 0x65efdc27, 0xd10f6ebc, 0xb82b2efc, 0xe43915bd, 0x99be1678, 0x6e00630a, 0x6b70dda8,
+    0xfccd888f, 0xd9a79e2a, 0x71a89c91, 0x7fc2dafc, 0xa1404a75, 0x6e045db7, 0x6c31f090, 0xe7c3e3f1,
+    0xe386dad3, 0xa5b7ac4b, 0x0efc26c8, 0x6644b852, 0x254ecc77, 0xd894d177, 0x261d0274, 0xac456b50,
+    0x7da2554e, 0x626bb283, 0x299621c1, 0xeb584a47, 0x1f2ee84d, 0x6a6e0861, 0x57ce92cf, 0x33d807a7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000022300745198530623141535718272648361505980416 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x120164a0, 0x49664d26,
+    0x00000000,
+    0xa0b1de1f, 0x79d5874c, 0x193e6b7f, 0x5e190a9d, 0x2b1d2919, 0xf803daf6, 0x160b620d, 0x672eb41a,
+    0xf59a63a1, 0xef866fbd, 0x76da3512, 0xf1e12664, 0x5c105904, 0x835d588f, 0x7259d123, 0xa4d9b604,
+    0xe659885f, 0xf1d14223, 0xf6d10253, 0x1cc30f3c, 0xbf62769b, 0xee37d038, 0xa15b0481, 0xdcd5a28b,
+    0x69674d63, 0xba72e693, 0xbe0b21df, 0xa3f33aa2, 0x4cf70782, 0xb8c40257, 0x3f499f79, 0xfb6abc8f,
+    0xc3945cd2, 0xf569ebb7, 0x80217cfa, 0x52f3a7b0, 0x7195b857, 0x54bcbff1, 0xd83e9335, 0xa1248766,
+    0xdf2b4749, 0x5eaf864f, 0x28b7d36a, 0x99936911, 0x33a30c29, 0xafa9d25a, 0x8e326495, 0x01423070,
+    0x6a865a8d, 0xaf3739f5, 0x0413480b, 0xbf28a100, 0xa8c2e813, 0x43d4eede, 0xc578b567, 0x08f08ebf,
+    0xc80bfb7c, 0xb214ec0f, 0x3025bd55, 0xe668cb6a, 0xfbccd4a2, 0x495692c7, 0xdac7aaa1, 0xdd7c52f8,
+    0xebcf231e, 0x01a81cd4, 0x2c2d4dc5, 0xbb038e21, 0x3079dc4e, 0x0b2b2b1b, 0x4c9cfcc0, 0x12cc949a,
+    0x95083432, 0x9267a4cb, 0x38035d16, 0x5ef8b85c, 0x4da4e29b, 0xbe3aa348, 0xece45dba, 0xa182062c,
+    0x23f0969a, 0xab074315, 0x88d4cd07, 0xa75b13df, 0xd96c6377, 0xb138f9f5, 0x8142eeb3, 0x183d5217,
+    0x9763c805, 0xe538cf82, 0x0a6c2c5d, 0xbba121d5, 0x33efa9ae, 0x3aed18c4, 0xa7df1e91, 0x626fa5b1,
+    0x135b36c7, 0xfc89dd16, 0x1d4e3773, 0x6d5aecae, 0xf068029f, 0xaf3e8116, 0x14ac85f8, 0xd82d162a,
+    0x736248d5, 0x5d62350f, 0x23c611c2, 0xce222f03, 0xf61ee456, 0x69293d27, 0x2af2dca9, 0x3cf4f15c,
+    0x52249e8e, 0x93196d92, 0x95d0599a, 0xea954961, 0x7693a39a, 0xccfaffc1, 0xe19accdb, 0x94af1114,
+    0x779c6342, 0x2514a3ae, 0xe78cea55, 0x241a30ff, 0x1e0d0eba, 0x27d961f1, 0xe2da8f46, 0x99ad5073,
+    0x1782f7c5, 0xede01994, 0x076f7bb4, 0x99e41463, 0x12936ee0, 0x5d16c347, 0xabec778e, 0x495b719f,
+    0x8eb87640, 0xff164c12, 0xa25350d0, 0x5bb42adf, 0x5e1049a6, 0xdf00309f, 0xca58ec47, 0x78ea15c3,
+    0xe8c8bd65, 0xd2e3fef2, 0x518953bf, 0x9eff5003, 0xf03408de, 0x966b389b, 0xa0ba2381, 0xf0a6d9e8,
+    0x427ed64b, 0x714a45fa, 0xbf9eb4b5, 0xcae89612, 0x547d91e2, 0x46fed540, 0xc6d58c36, 0x879bf4a1,
+    0xcc7ed4fd, 0x5857677f, 0xced81163, 0xfd9bc11f, 0xfbc9e572, 0x76d763f7, 0x5deaa8ed, 0x05e9f593,
+    0x4fd4e154, 0xe11fcbc9, 0xa695314d, 0x71e67f03, 0xb3e69a12, 0x2c7102f6, 0x1898a8df, 0x9f2772c1,
+    0xf4feb8af, 0x78a4cf29, 0xc61fa6a4, 0x1a6604bc, 0xd1f1dc59, 0xe95e4221, 0xa0474be9, 0x5f8959e3,
+    0x0a219716, 0xe323b8af, 0x6f55edd0, 0x461baba0, 0x466a789d, 0xc15a1b82, 0x5d5e94a3, 0xd0d1297c,
+    0x9a5c0e02, 0x33b3718b, 0x892c5a77, 0x93091287, 0xf584afbf, 0xa20539d1, 0x48e08b7a, 0x80cfe1d7,
+    0x508bcd79, 0x113a4558, 0x004452d7, 0xe417c142, 0x346e9ebe, 0xb76cd160, 0xef22aed6, 0x12d23fe8,
+    0xe5ef22fe, 0xf312a257, 0x88d8a445, 0x000a556f, 0x74cbdd93, 0xab566f6f, 0xa6f7ec6d, 0x6f696293,
+    0x5457a254, 0x08f35d0a, 0x84d2fd41, 0x2ab4d402, 0x007f4fe7, 0x318534a9, 0x6f8ed16e, 0x23630099,
+    0x3455ac74, 0xfedbb5f4, 0xcd4af443, 0x6c370b2a, 0xb7635036, 0x1f3660e5, 0xe6e96e18, 0xdccf71ef,
+    0x496d2a66, 0x7cadc12b, 0xdd6d4401, 0x9cb8b61f, 0xdaf0f620, 0x2b7d21d4, 0x327c4fa2, 0xf13d2974,
+    0xa457ef62, 0xbe8385c0, 0x3a463905, 0xf608d85e, 0x230bfbc8, 0x41bbf468, 0xdc866689, 0x56de1813,
+    0xca7664d5, 0xb0cebfb1, 0x2c7f4c98, 0x3b464120, 0x39ca3cc2, 0xa4183289, 0x48aa1ae7, 0x676f4e83,
+    0x2a8eb5a3, 0xc9563c54, 0xe7ef2a35, 0x3ffba2cd, 0x65cd4323, 0x22937d4c, 0xff7dd3db, 0x569dd1cf,
+    0x7fa32451, 0x32502b50, 0x060023f7, 0x1d55cf0e, 0xb73a2189, 0xe5996d9d, 0x35e51b32, 0xe38478e6,
+    0x28d62369, 0x35c64516, 0x74390ce8, 0x427965f6, 0xee75a0cb, 0xb0e1f0be, 0xf32d0fb4, 0xdea2268a,
+    0x275cd106, 0x92d7be6e, 0x187c57c0, 0xb143f862, 0x5c34dd5f, 0x9388db12, 0x10d7e6cc, 0x646d06ef,
+    0x4bb291a8, 0xbe52143f, 0xebc6bece, 0xe4010026, 0x3eb9ce24, 0x5e1741fd, 0x75942893, 0xd3eae4ed,
+    0x2940aa23, 0x6eba0dc6, 0x06166382, 0xf9074485, 0xacf2f455, 0x686d0a9f, 0xa6b9386c, 0x33593c68,
+    0x1fd9e21f, 0x7296975f, 0x043cee39, 0xff2e9383, 0xce2ea38b, 0xe8017190, 0xaa16ecc0, 0x45b9a421,
+    0x7d974b08, 0xf78d1ceb, 0x1839ddf9, 0x083a48d1, 0x34f19181, 0xdf84c728, 0x94fff27b, 0x802c4cf7,
+    0xf16b6506, 0xbbefcad3, 0xebb1707e, 0x8c23f5a5, 0x25ef4a55, 0xdebc6f04, 0x7732f16e, 0x29ce27eb,
+    0xd07e3a52, 0x51b5edd2, 0x2be97176, 0x7bc8c589, 0x3880b519, 0xb50b06bf, 0xb39a751e, 0x27946d5e,
+    0x8399ce78, 0xd899d487, 0xbe3ef43d, 0x65c9aa64, 0x55284028, 0xf4ae7f0d, 0x08e35717, 0xd4aef9b7,
+    0x61fe5eb5, 0x96d93763, 0x8d2d6959, 0x74654586, 0xd7830768, 0x7999094e, 0x89564ffa, 0x728eeebd,
+    0xf3d3ddc1, 0xfdab0367, 0xf922cdc3, 0xebd0eef5, 0xc2c0d2f3, 0x9d962c6a, 0xb02562c4, 0xe3598a39,
+    0x24cd7830, 0x588cee90, 0x551947c6, 0xcf5aadfc, 0x67108411, 0x29a29c28, 0xc684f4fd, 0xe0c75a43,
+    0xf8377edc, 0x1ed4714b, 0xa43b1f1d, 0xe3e0f7e6, 0x25df4a4b, 0x688dcdd4, 0x5bf29bd6, 0x37dc0e58,
+    0xdb446fe2, 0x8317528b, 0x150b5a99, 0x3fb85894, 0x62b93ff3, 0x1797d6c2, 0x0f222123, 0xe84f0e73,
+    0xec60fc67, 0x84fcecb0, 0xcb2b777d, 0xb16633bb, 0x5b931957, 0xe73403ff, 0xcf7d7dd9, 0x5401f331,
+    0x94cf8cad, 0x4c0cda8e, 0xd610fd65, 0xd7d2b1a8, 0xa8e05da6, 0x1e4e1271, 0x6a39f2db, 0xd9967374,
+    0x61f60f22, 0x7678929f, 0x49dd40aa, 0xadcfc3d9, 0x4a7b814f, 0x8fc84d92, 0xdcd80b03, 0x2913200f,
+    0xa1efb981, 0xe10a269b, 0x04b3b91d, 0x532f58ee, 0x757b23ab, 0xde0e319c, 0xac97011c, 0xc1797cc0,
+    0x6d26c44b, 0xa58539ce, 0x6546d877, 0x15bb19c1, 0x251cd702, 0x7b07ec8f, 0xd1317cd8, 0x978579f9,
+    0x37fc6c10, 0x41846fd5, 0x44ed23bb, 0x8c37c44e, 0xb44c1607, 0x58ece79c, 0x72fc01d2, 0xb3e219e8,
+    0xb06dd1e6, 0x4c0b5e78, 0x46a7bb8b, 0x3451808e, 0x8108abf7, 0xb981e81d, 0x0d26bb24, 0x66646425,
+    0x989db123, 0xd7169157, 0x139ee3de, 0xe499e85f, 0x1f5f1b67, 0x16addb3d, 0xb644b3ac, 0x6afb1a9b,
+    0x43d71c38, 0xa1844ef0, 0x58e2e59b, 0x0eb31953, 0x980b958f, 0x4d3dfe03, 0xc5fd202d, 0x12d4d324,
+    0x242c6e15, 0x542a5b99, 0xa7c609cc, 0xd085526e, 0xb3c06b98, 0x65b7b41b, 0xb6893bd2, 0x66d5e387,
+    0x59a42d14, 0xc47daa00, 0xa2d6f8c6, 0x9abebf74, 0x4a4c901b, 0xebac7035, 0xa547459c, 0x5234bacd,
+    0x796db598, 0x68c6e5c1, 0x49d3e2d7, 0xb6f268d6, 0xb961bc0b, 0x04f09276, 0x54fc307d, 0x4dac4aea,
+    0x1218ddde, 0x0e4e8a2b, 0x8e597e20, 0xc79c0259, 0xd1413570, 0x864bb494, 0xd15ebb51, 0xa16426f1,
+    0x7cac0bfd, 0x70fae81b, 0xeab76bd7, 0x60501f15, 0x4a39ea93, 0xc5ae6548, 0x73474075, 0x68fc9a3e,
+    0x615ff074, 0x424a3141, 0x85f30ebe, 0x0d46c3e0, 0xce5ef176, 0xb9854930, 0xf284667c, 0x05215012,
+    0x1cc0232d, 0x677db3c4, 0xf7f482a8, 0x2910f6d2, 0x6e973816, 0x68c721a2, 0x66ee5ad4, 0x062137c5,
+    0x612cf7c0, 0x11005f35, 0x828c13f2, 0x31aaf45a, 0x9185ff01, 0xc895f269, 0x808f80cd, 0xb122a2e6,
+    0xa609842e, 0xec930003, 0x2f8b1041, 0xd8b4c1ad, 0xe68caa13, 0xb0f116f3, 0xbf734df3, 0x144bcb4c,
+    0xb1f7d1ad, 0xf374f60a, 0x3c801ffc, 0x67a89a52, 0x47eb7ae7, 0x9fedf82f, 0xabbc6265, 0xcec641d4,
+    0x463bbf01, 0xcfc81911, 0xe7dac51d, 0x7e926b3f, 0xbe704f04, 0x85b11225, 0xd3c2332d, 0x453813ed,
+    0x57e8925a, 0x96994a10, 0xae1aff10, 0x5b20a0fd, 0x16ef3f0e, 0xdb13c255, 0xac75c0fc, 0xa9387378,
+    0x114d8ab4, 0x630045f4, 0xbd05d12b, 0x887f78f7, 0xe6bf72ba, 0xfff5b164, 0x3be64ed1, 0xa4a0ac8b,
+    0x2f3c7c35, 0x95a5d3e8, 0x96d1828e, 0x1de3efdb, 0xadc84094, 0x38ab1eeb, 0x5fc4ee97, 0x32f07d4a,
+    0x11e0b69b, 0x07cfd4ef, 0xfdbc8c14, 0x72a2d603, 0x1b5a48bb, 0xdc018818, 0x719cdf58, 0xd9751748,
+    0x5f20cd10, 0x0f89b285, 0x93a97d3e, 0x3158eb4c, 0x8a838a08, 0xba787b0e, 0xa5331f31, 0x91b4dabb,
+    0x37762b31, 0x4a476941, 0x7fbc487f, 0x76550654, 0x854bf8b6, 0x8d03deea, 0x4efc2193, 0x6a1d9e65,
+    0x18e8822d, 0x724b890a, 0xe2103405, 0x0a2db362, 0x8569001f, 0x119463f4, 0x2d629aa7, 0x7638a6d3,
+    0x76be4fa8, 0xc42ac51a, 0xeac18a48, 0x06239cbf, 0x016ba683, 0x6eba4843, 0xe7486a05, 0x7c4e758f,
+    0x5e1015dd, 0xac0673a8, 0x858eaef5, 0x4bd46676, 0xc992cc02, 0x0c96a5b8, 0x2788c40d, 0x6ec4cc6a,
+    0x68427687, 0x551415a4, 0x0ffb1df4, 0xbd63671c, 0x9a094529, 0x2a71cb80, 0x6d5b6ec9, 0x1c0a0da1,
+    0x3468f446, 0xfd56e09d, 0xd107e0d4, 0xc2f91868, 0x0b58315a, 0x3414ec83, 0x5b192f54, 0x69869aab,
+    0x5f4d8efc, 0x70f5bcae, 0xea234f75, 0x2dc36cc8, 0x4995fe41, 0x5f2be6d8, 0x3456cf05, 0x9b17f0e7,
+    0x4fe589a7, 0x31fb5653, 0xb2bfb678, 0x756a5c61, 0x6ba08949, 0x6a945aac, 0xc971e825, 0x1f80c7cb,
+    0xb0555ad9, 0x9a8c415a, 0x331dd874, 0x72d53f03, 0x2429b41f, 0xddbb3ed5, 0xdc093d85, 0xadcab735,
+    0x1f737f63, 0xadea5e54, 0x86fa1632, 0x6875fbd1, 0xe1359f7a, 0x26281fec, 0x312bb52e, 0x4b0a6dd5,
+    0x7a06eff8, 0x596bba93, 0xbe6c8104, 0xea4c7351, 0xf2b33d72, 0x08eec1ba, 0x6c1d55bf, 0xe0d21497,
+    0xf4587cc2, 0x70fbab15, 0xede08a0c, 0xf50a0eb4, 0x77d1f602, 0xeaf6ada0, 0x966e596e, 0xfa04398c,
+    0x3c78fd27, 0x503a4a01, 0x19f4df57, 0x9899ba84, 0x1dc7ddf6, 0x5f3af877, 0xb04fbb94, 0x120244e7,
+    0xd772c5f1, 0xa95a0f21, 0x9752d34d, 0x9b514f42, 0xf3c7a727, 0x32fe415a, 0x3c3f223e, 0x896d09c2,
+    0x1c2e8da0, 0xa99b6651, 0x34ef7ced, 0x9bd2856f, 0x99d162bf, 0x4f66b50c, 0x0af542e6, 0xb4133838,
+    0x6dda9b87, 0x4af5f4db, 0x4cc88136, 0xc7d6a61c, 0xcbcde68c, 0xd87f9c47, 0xbe867d51, 0x5599c1fd,
+    0xa993ac0c, 0x5cd41cf4, 0x1a404556, 0x328cba40, 0x7f27bcef, 0xb806fb52, 0x3d34fe25, 0x13e42400,
+    0x33da558a, 0xf94e8750, 0x7c824408, 0x664c4c12, 0xa287f5ba, 0x5569cf6f, 0x1a656b4a, 0x0c01468f,
+    0xc1b7fd25, 0x9e6ca84e, 0xbe122cd6, 0x1afb0dba, 0x3869b958, 0x45675fd7, 0x79422833, 0xde5642d0,
+    0x83394802, 0x0718bd44, 0xf2169b00, 0x642d9e80, 0x2ef0edff, 0x5b458bb6, 0x7a2cc4ad, 0xb43323ab,
+    0xa7efdcba, 0xa7fcbee7, 0x4616b8a6, 0x85d16083, 0xaf11ba9b, 0xc6fcf21c, 0x6d2509de, 0xfdfa2b13,
+    0xe1d946df, 0xeed4fedc, 0x04156190, 0xd028b9d2, 0x8225693f, 0x3fd63d8f, 0xf294f1c6, 0x4768ec39,
+    0x0b19d640, 0xd68bf801, 0x60bc237f, 0xf145c5ce, 0x09141282, 0x5d8ad7e5, 0xc267bea8, 0x2f7b1277,
+    0x22d65bb3, 0x8d85c0a9, 0xbf818592, 0xb7338377, 0x920712ae, 0x97839d17, 0xc813213f, 0xa53ed00d,
+    0x0bcf5ad5, 0x6ab227de, 0x22297ca5, 0x30fc3c37, 0x66e14c76, 0xd217b8d6, 0x52712133, 0xcd1b2e09,
+    0x810493bd, 0x98dfeeeb, 0x12c60f38, 0x5352911c, 0x7a6a3281, 0xe18f8749, 0x57d45d78, 0x6a87d8bb,
+    0x6e145183, 0x2255541a, 0x3fe2d02d, 0xe414c559, 0xa735144e, 0x12f1bccb, 0x090ae858, 0xab8cf393,
+    0xe6778596, 0xf47ed170, 0xa55c36aa, 0xd39ad135, 0xa661e0c3, 0xc22c2ae0, 0x57b741bd, 0x24860d68,
+    0xc89c6280, 0x92570710, 0x5c7c4d91, 0xda3db9ed, 0xc66030ab, 0xf6088cae, 0x5a579e94, 0xea9410b2,
+    0x5e54f4b1, 0x4d32c653, 0x192fad53, 0xc1d7f8cc, 0x4f8dc08c, 0x6d6c3bab, 0x6ece0a0e, 0x2682e16d,
+    0x3445ba11, 0x2713ef22, 0xfaea730a, 0x444f6a3e, 0xe44a16d8, 0xedab7cbd, 0xd76e29f3, 0x83cb4f45,
+    0x64852522, 0x50558205, 0xc9bc9416, 0xcd2d89a2, 0xdaa26483, 0x8f229ad9, 0x09cf671f, 0x80b8f97a,
+    0xaa01c091, 0x2cff1680, 0x4d5b09f9, 0x03b67642, 0x436594aa, 0x42493fef, 0xe1682977, 0xf29f6cf2,
+    0x0558932e, 0xd9d6be7c, 0x9b7c3999, 0xd232e700, 0x05893908, 0xaf4aed02, 0x7dcc55b0, 0x6e04f5b2,
+    0x46b1db1d, 0x3b2038a5, 0x6fcc2532, 0x15cbc9eb, 0x7a63bdae, 0x659b0c49, 0x9bfd0933, 0x1ffc70cc,
+    0x390c4e9f, 0xda64301b, 0xf9f2c270, 0xcc072083, 0x1c0d5e7e, 0x4de2d68c, 0x96d49c13, 0x586fc1d4,
+    0x12ae36b0, 0x2dbc7b5e, 0x4b6cb0eb, 0xae97a89d, 0xf4968455, 0x821d01e7, 0xe92f9b4c, 0xd280bd74,
+    0x2c6173d9, 0x848d44c9, 0x4b22ae3f, 0xdccd2751, 0x7119da74, 0x9bd1cf9c, 0x460c04df, 0xa1cdcc4d,
+    0x113fb765, 0x8a8cd215, 0x92c17725, 0xce4e8c5d, 0x578a3e92, 0x15e2377e, 0x8313a922, 0xb323db70,
+    0x723d7d22, 0x891f9e64, 0x14ea2820, 0x6eecbde1, 0x6e31af66, 0xdd05a71a, 0xb022700f, 0xd6aa4739,
+    0xa3e324ce, 0xeececfdf, 0xbd0d577b, 0x6c58e063, 0x068d31cb, 0x3b5db64e, 0x2a2f293e, 0xf8236463,
+    0xa132c566, 0x01a6dc14, 0x21de38c0, 0x0ddfb5a8, 0x019cd5da, 0x83104038, 0xe86e6be8, 0x4efff76f,
+    0x8b71eca4, 0x28e34b83, 0x519d7abb, 0x4c22e1c0, 0xbf23a264, 0xa5ef2276, 0xf1aa917c, 0x2fd7605b,
+    0x1e67ecbb, 0x411d9fc9, 0x5d447055, 0x630d8a92, 0xf2d629b8, 0x86250734, 0x3689ccbd, 0xcd42c59f,
+    0xb68deb6f, 0x5ddcb9f6, 0x495a1a5b, 0x80f8e6ba, 0x6129e8c2, 0x666abbe3, 0x7a6aec0b, 0xe69ac569,
+    0x157ea1a2, 0xd6611e67, 0xcdeb0a4e, 0xcf73ab63, 0x1ba060c1, 0x99f0b1be, 0xea4affac, 0xb9ae6047,
+    0xaec045dd, 0x12477074, 0x2957b05c, 0x16aeec13, 0x32cde7f2, 0x3088f474, 0xba0e3104, 0x7c782d0f,
+    0xe5a5bc1f, 0xe3169886, 0x8a0a3eca, 0x171c624d, 0x477239fc, 0x11f74884, 0x20f9a0ae, 0x1fcd5581,
+    0x5b749d4c, 0xb52baf42, 0x992e989b, 0xa0010f9c, 0x80e1cd68, 0x6a58441e, 0xff0b40d0, 0xd6316321,
+    0x18cc7de4, 0xcd7b7f23, 0xff7128b2, 0x89e60c04, 0x0f4882a0, 0x73021ead, 0x94d5544b, 0x46374b12,
+    0xb74baad1, 0xa756619e, 0xd51243fe, 0xf1690bfb, 0x337c5fc8, 0xd354a96a, 0x6a32f691, 0x414fe03a,
+    0xb2651719, 0x58b751d7, 0x5ad8b8c1, 0x419bb918, 0x36a45719, 0x3b711341, 0x1be56ad9, 0x6f8442e7,
+    0x9a2c1f07, 0x586a77fa, 0xb3b8c917, 0x51467a8e, 0x13e946a9, 0x26c5206d, 0xbee56a31, 0x5312eeda,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000011150372599265311570767859136324180752990208 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b250, 0x24b32692,
+    0x00000000,
+    0xcad320f3, 0x6aab0c2d, 0x5cad0d0a, 0x08c5a68e, 0x7f68e75c, 0xd67a406a, 0x000d187d, 0xa09e1d9c,
+    0xfd7341c7, 0x77d35944, 0x6c32dd6a, 0xe0fb877e, 0xec3523b8, 0x5d95788c, 0x894bea71, 0xf001f52e,
+    0x5618b187, 0x1d1b90f3, 0xd789f0f9, 0x79e79733, 0x5abf4d9a, 0xf2b5323a, 0x93fb8068, 0x0c5c3dcb,
+    0x1cfb9216, 0x29d3931b, 0x9a28986d, 0x44021d5c, 0x3a0ea44a, 0x0b440559, 0x878e5e98, 0x170a406f,
+    0x756943eb, 0xd04b823c, 0xa8d23d8a, 0x65e10f90, 0x0ddd4efb, 0x33207a1b, 0x094a7fdc, 0x1b222a05,
+    0xf787850c, 0x665a16d9, 0x7692f5d5, 0xb40f30a3, 0xbd1883d4, 0x095a3278, 0x54f924c0, 0x6d85aefe,
+    0x1bbaa7cd, 0x58747d3c, 0x968437f8, 0x47c148c2, 0xad299c58, 0xcf173c4f, 0x201f8da9, 0xa357c8dc,
+    0x21239c25, 0xa08180a1, 0x9e7a6d1c, 0x48fd73ad, 0x88937569, 0xc4b33f96, 0x56b12e92, 0xda01ce2e,
+    0xbe652d01, 0xb1a84921, 0x7ce4ff83, 0x2bd4310a, 0xc4bb25d2, 0x66389283, 0x370d813e, 0x6bb7e300,
+    0x0ba79c14, 0x0fec2ea6, 0x21d69a2c, 0xe201f7e1, 0xe9de7686, 0x3f562d27, 0x4305691d, 0xf6f1a0ad,
+    0xf2291380, 0xc3e7fb4a, 0x114393bd, 0x4968b569, 0x1524409b, 0x083c0a71, 0xb3e8fc8f, 0x3ca92ff6,
+    0xe710ab1a, 0x341dd2d9, 0xde51647f, 0x126e3048, 0x24ffc670, 0x446fd054, 0x7d81b16a, 0xfd276e4a,
+    0x1f5e5a20, 0x79ae7c32, 0xf96f0c31, 0xc2b4ca20, 0x03bb21aa, 0x5be72033, 0x1af677cd, 0x70836c1d,
+    0x5ee3ecd0, 0xfc7d6ee8, 0x164d9cd4, 0x9b1d5d9e, 0xf711d31a, 0x06731ed1, 0xa175ea04, 0x7920a219,
+    0xb507d341, 0x553af71a, 0x669f8667, 0x9ef6ec04, 0xc93bc6dc, 0x7295836c, 0x21693def, 0x33c586ae,
+    0x2b927544, 0x243a7685, 0xefa765dd, 0x8344f568, 0x9225ec3a, 0x8df7ef4c, 0x6ca1487f, 0x503d436b,
+    0x437ce8df, 0xfd41377b, 0xc6901105, 0xb1c455a4, 0xa6d03951, 0x63ec1411, 0xb211076a, 0x97a03f1a,
+    0x9037156f, 0xe8896d25, 0xbb812c59, 0xc3131962, 0x3c0641fa, 0x4792719e, 0x23c7cf8a, 0x9711bb34,
+    0x4a3ecf6c, 0x259db8e0, 0x0e880c34, 0x7fae46e0, 0x1184fb7d, 0xc4238ef5, 0x860d3d4d, 0x2374ed94,
+    0x68f10b0c, 0x3313d184, 0xe2e33718, 0x942f80f1, 0xb4488342, 0x79b2d71a, 0x0a0ead09, 0xd2bba88d,
+    0x78a9d561, 0x867c9290, 0x26974bd6, 0x99f668f2, 0x7a36dec1, 0xfacb7278, 0x2ff91ee7, 0x6ffd6b14,
+    0xee112a51, 0x1391b1bd, 0x3c120016, 0x6e6fbce5, 0xbf960344, 0x01300bcf, 0xf85f1eb0, 0x7dc7d025,
+    0x8147e572, 0x43c21b9c, 0xc623996a, 0x1e358f16, 0xa22844fe, 0x98568f2b, 0xb9491fd0, 0x8c7d2d4b,
+    0xf37ca792, 0xb35dd72d, 0xe91e6a8f, 0x52ccfa76, 0x3eb09e58, 0x93c2bf27, 0x532636a2, 0x0b5e6e85,
+    0x025920f7, 0x440fd9f5, 0x1d745eca, 0x937a0bd2, 0x9d2aaf7c, 0x80abcacf, 0xce51c2d3, 0xcf6c59af,
+    0x86514e4a, 0x050d8b0a, 0x4b76aacb, 0xbbb82834, 0x369169b8, 0xa70f7576, 0xb5e56717, 0x80d85b5d,
+    0x17dcbcec, 0x932a5ad6, 0x0a6e9493, 0x90bf211a, 0xc967f6a6, 0x290e6049, 0x04533c30, 0xee6406f8,
+    0x8c3eecb5, 0x842790f1, 0x149f9a08, 0xbdef4da7, 0x29791a85, 0x4919529e, 0x6413730e, 0xadc45a1b,
+    0x23d18750, 0xb1c33f5f, 0x905e5d58, 0x2683bc31, 0xd4a48c44, 0xc3c98496, 0x14b6cb67, 0x1927f132,
+    0x202160b2, 0x96a43a57, 0x8f7b7a2f, 0x10b87d28, 0xe83c7ca8, 0xbdd48885, 0xfc265b78, 0xb25783db,
+    0xfb6218d4, 0x44e15c1b, 0x72d80de9, 0xb4ffa4f6, 0x632d49d9, 0xfcd438e7, 0x876b2dac, 0x6f483cc5,
+    0x8dcc2037, 0x071e3dbe, 0xfd7b04e8, 0x1b65e0db, 0xd28514b8, 0xfdfa5d24, 0xd133d194, 0xa100149a,
+    0xf37e1bb4, 0x173b83ae, 0x65ba3b25, 0x776fc427, 0xcdaa6455, 0x65bc610e, 0x7e944cab, 0x33cc766e,
+    0x7b76af38, 0x9cbce047, 0x9ebeb337, 0x8cf56f28, 0xfac307d4, 0x5526e7d6, 0xffaaa846, 0x18125677,
+    0x27c1e855, 0x48dd0154, 0xdd221f80, 0xc12b176a, 0xdd08e40f, 0x44ea7928, 0x16a0cced, 0xf36a8731,
+    0x104838b9, 0xfa1ce2a9, 0x3384f0d3, 0xa2fbd124, 0xbf997c26, 0x1a939862, 0xd060f924, 0x7609ec81,
+    0xf1a10216, 0xb55e31cb, 0xe1149346, 0x24849fa4, 0xc4b456a8, 0x155b5879, 0x5c96714b, 0xbe860f91,
+    0xb4f3d87e, 0xbb2e551d, 0xf3cfdc41, 0x73fe02d1, 0x3c68adc5, 0x92178f19, 0x06fbbd61, 0x27938aa1,
+    0x81ccaee6, 0x775cd994, 0x13c79d0e, 0x8aebff45, 0x7ae366a1, 0x83e66fc4, 0x15be2190, 0x40123cfc,
+    0x1089e3ed, 0x96d6ebb6, 0xb7f52376, 0xaa3228f7, 0x4a5a062d, 0x26815d72, 0xde191d1a, 0xaec3ba8a,
+    0x89c293f9, 0x1cc3c783, 0xf53bb6be, 0xb831e607, 0xc59be308, 0x1f8ad52e, 0xb92fc1e4, 0xa67f7c69,
+    0x7e8d7fef, 0xd5049308, 0x4dd0386f, 0x1de25a33, 0x61f2f951, 0xc8da6484, 0x954b1368, 0xb6276005,
+    0xae21a29f, 0xe207b6e3, 0xfede4b5e, 0x9553e09e, 0x8e0598d7, 0x15d8e297, 0x3cb5ba5a, 0x103989ff,
+    0xd3046f21, 0xb3174354, 0x5ca966e1, 0xa1ec5cd5, 0x3f9321fc, 0xf9865af0, 0xccb6156b, 0x59a5d1e4,
+    0xa7217a96, 0x6c30cb4c, 0xba301daf, 0x21fd8700, 0x24564c9e, 0x08e2267c, 0x06b166bd, 0xaf6083f7,
+    0x06fdc77e, 0x122bcce9, 0xa95825a6, 0xbe0300b3, 0x4ab5ca73, 0x498a2607, 0xeb8d3771, 0xe778c622,
+    0xa61bd3e4, 0xdb937670, 0x431d70af, 0xa101d35f, 0xebcd50a2, 0x1433193a, 0x9e40d2b7, 0x3a0f523d,
+    0xd8bbff8e, 0x26967e36, 0x6d536872, 0x7b7c9cf1, 0x6ca6b630, 0xaa6d319b, 0xe2c4ab0f, 0xa3c489cf,
+    0xa0ee637e, 0xf83aba07, 0xc3997921, 0xe395a2c2, 0xfc7deb71, 0x391afd18, 0x7d6ec879, 0x93a55ad3,
+    0x21677342, 0x548e2e5b, 0x31e13778, 0x2417e67b, 0x84bb99b3, 0xeed120fe, 0x0f0b1c48, 0x84d787aa,
+    0x1430e550, 0x31516986, 0xd202d39e, 0x27122631, 0xef6868e4, 0x852707bf, 0x12e6ae8f, 0x846f7f09,
+    0x3edb57eb, 0x7fb79827, 0x395f1ff5, 0x6f18fad9, 0xcf6d87d2, 0x13242e57, 0x0c6b438d, 0x8abf6ef8,
+    0xa6ab00ae, 0x4a524aa7, 0x3b555e3e, 0xdbe8aed7, 0xd69a3a3d, 0x30c6d97d, 0x0e0c2087, 0x46dd7c5c,
+    0xc7aa2905, 0x6d6ceb9b, 0xc1a71f2e, 0x2c4650d1, 0xa3b3bec8, 0x8e3fc977, 0x2f995f77, 0x94a08878,
+    0xc0ef4c52, 0xdf6b7cd1, 0x13d5897d, 0xdc7225e0, 0x6353de7c, 0xd1dba709, 0x7c5e56e2, 0xd4c37f81,
+    0x1be18d0a, 0xa5986158, 0xcf20851d, 0x59b46e48, 0x9dcf9ddb, 0x3539d5db, 0xe497f42a, 0x2eeab8f4,
+    0xf27fa602, 0x93d344f0, 0x95a85c8d, 0x5dc4aa5b, 0xfde2b868, 0xaf27a6f7, 0x3f87bacd, 0x9ec9c926,
+    0x3fcb77df, 0xe5bdf344, 0x9f590982, 0x5a7da2c9, 0xfbb7d1c4, 0xb6be1828, 0xfdd5b73b, 0xfa8d3062,
+    0x70784f0b, 0x56e5c070, 0x5826e3d1, 0x136e481a, 0x71c6fbe9, 0xfcd49ad0, 0x0790bd1b, 0xc3a681ab,
+    0x6a988d53, 0x07945d85, 0x28f21b20, 0x6cdb8680, 0x14cdfaf6, 0x37ac935e, 0x3ef321c9, 0x687136f6,
+    0xa5d8090d, 0x795f3e86, 0x8831cf23, 0xd57c7220, 0x1a6699a8, 0xcbee395e, 0x95dbf62b, 0x4887cc76,
+    0x7f75abde, 0x7817b7bc, 0x4d51a49b, 0xb52b4198, 0xa91958ce, 0xc7f16db2, 0x31b160a9, 0xe7f039ab,
+    0xb1a8950f, 0xc9e9b513, 0xc06313a8, 0x546a1f9a, 0xbde76045, 0x9dc4900e, 0xc25220be, 0xed422ce9,
+    0x099cde1e, 0x2ad6e078, 0xdcdacdd4, 0x7a601df7, 0x6edff73e, 0x42751b08, 0xe64c4be9, 0x8e6e4fc2,
+    0xbce38cbd, 0xd288e976, 0x3bb4f919, 0x4ada5b0b, 0xae0fe886, 0x3ce5fe4f, 0x4676dd14, 0xa4740ebd,
+    0x116d83b3, 0xec8463a3, 0x92ac9c62, 0xc6ca2116, 0xff5bb6ec, 0x3d1d4ada, 0xfb4a01e1, 0xba7f563b,
+    0x5c810c92, 0x64533ca8, 0xc37dc5f6, 0x30e1bd1c, 0x951f829e, 0x562183bc, 0x4ab95b3d, 0x5c96f61e,
+    0x32b09e5a, 0xc05b210a, 0x77f792ef, 0x614c14e8, 0xbd2e6510, 0x6afb2b1e, 0x1205637f, 0x77df5458,
+    0xad40a242, 0xb16c0cfb, 0xf7f6ca48, 0x091daba2, 0xf69f0cac, 0x4b7b5b17, 0xb6403aba, 0x054fc7f2,
+    0x5384deff, 0xa4d8e808, 0xee0fe134, 0xecb8e79c, 0x9f40ed99, 0xe5042209, 0x1464a270, 0xb950d25e,
+    0xd2033472, 0x701955a5, 0xba257aad, 0x72765e7e, 0x13567bef, 0xd8712d72, 0x55cc312d, 0x61f84792,
+    0xfa51a60f, 0x3073b468, 0x36951b18, 0xa9f00337, 0xea1a880e, 0x9378b60a, 0x935a5b9a, 0x9dc1a2d3,
+    0x67105099, 0x2d0bbed2, 0x4c01fff0, 0xa117a55f, 0x121c5ddf, 0xa8126dc0, 0xbcf1797d, 0x83171a2a,
+    0x3970e17f, 0x45d0ba60, 0xbf9ebe57, 0x624ce22e, 0xafb7fbbd, 0x013ddb86, 0x402a9e74, 0xa0ebeff0,
+    0x6f8b56b3, 0xb5b2afec, 0x73d6a8e7, 0x043743b8, 0xd04a7637, 0xd82335e1, 0xdd1ec79e, 0xd730db96,
+    0xbd011664, 0xf4172ffe, 0x5e4d3b03, 0x8b310aff, 0x24c0a2b3, 0x2069b14b, 0x1310456e, 0x6a1be431,
+    0xdb6b5c54, 0xa23474ab, 0x88354c82, 0xc2d31356, 0xee039b04, 0x5d936c51, 0x19196df6, 0x189899c9,
+    0xeeb93215, 0x07163f1c, 0xdba0b614, 0x0cf86bc2, 0xab64d5cb, 0xe43fcb3c, 0xc9d52ee1, 0x256e76a4,
+    0x8bf3ed6a, 0x3ffcc609, 0x6e1e6a45, 0x74545b6d, 0x283f6548, 0x2a439aa6, 0x02ffe87a, 0x60c116bb,
+    0x22ba83c9, 0xdffbd228, 0x528d18c8, 0xada29170, 0xaa141919, 0x4bd8f871, 0x7506641e, 0x79237454,
+    0x9f586ee4, 0x7c49c133, 0x23293cc8, 0x5e6428c9, 0x7d1f405a, 0x8e169b9c, 0x81032228, 0x32591d81,
+    0x2342adec, 0xf1239a39, 0xa59faf16, 0xdd826e18, 0xe7b561b4, 0x992c0297, 0xe8b88f94, 0x4bdea114,
+    0xc8ac6e64, 0x30d766f0, 0x7cb9fbfe, 0x1599c0f8, 0x006b7969, 0x2a3e7b88, 0xfdb5cdca, 0x727b3632,
+    0x5e66234e, 0x0679e4f0, 0xb4df4e80, 0x14090de4, 0xc8d0056f, 0x4aa030aa, 0xbce315b7, 0x9848de74,
+    0xb58577f0, 0x52a78fe5, 0x3a96b391, 0x8d8ca15b, 0x274be7e8, 0x3f998eee, 0x06089103, 0x540dddcc,
+    0xfa4d62f5, 0x83c42758, 0x4d77aa84, 0x9b065847, 0x11a911c3, 0x2794d9b6, 0x3e1ee15d, 0x186ea6a1,
+    0xab61982d, 0x52d44678, 0x21a7f7dd, 0xdc230523, 0x71b607d0, 0x1daae46d, 0x4d561fa3, 0x7f895817,
+    0xdcf37a24, 0xe1c46f7f, 0x894ee02d, 0x6fcd9bc0, 0x182b827e, 0x71661f77, 0x2249b89e, 0x5c484773,
+    0xc1002c92, 0x935f32db, 0x0eafcb7f, 0x720d079f, 0xfa96edd2, 0xcb6e5ebd, 0xdc65e377, 0xd3eb7ef9,
+    0xc3158be7, 0x3d28e4a6, 0xacead0a3, 0x64fbb517, 0xd086dafe, 0x74c3c420, 0xa47a8847, 0xe2605797,
+    0xd9007363, 0x12f445b5, 0x53ab24e2, 0x2ab4c523, 0xef246939, 0x2f857cd4, 0xa4de680c, 0xf6a849e2,
+    0x7371d611, 0x8134d2aa, 0x4b2f3b4e, 0x1995120a, 0xfa645cb2, 0x5fa12a7f, 0xca2b4a28, 0x2b35f134,
+    0x44ab9d55, 0x4b2cc721, 0x88232ce8, 0xfff6d639, 0x5aacf72d, 0xd5151441, 0xe62325d4, 0xac8eb06b,
+    0x241bda01, 0x4468ee39, 0x7eba6eb4, 0xdff09137, 0x81c45098, 0x9fe70cfb, 0x8d02018a, 0x50d3ee32,
+    0x1e79e20d, 0x224c8270, 0x018b36dd, 0x98c18488, 0xf5ef713e, 0xc8cdeb8a, 0x640369fd, 0x8736b9a4,
+    0xe2b78bb6, 0x482c1b1d, 0xb4e34628, 0xb6799ca7, 0xdd0d9a63, 0x6a5bdc06, 0x65d16cb9, 0xbcab0e51,
+    0xefc452c9, 0x4dd627d2, 0x4dbe7476, 0xfd52d756, 0xd908349e, 0xef82ad1a, 0x654bbd2f, 0xa487f9e7,
+    0xcc71282b, 0x7fb1ca26, 0x27c76e50, 0xd907753c, 0x43b6c432, 0x55ae1b8a, 0x543de439, 0x9dd0ee37,
+    0x56f304d5, 0xee252d26, 0x481731e4, 0x1d377c9a, 0x075d08d4, 0x8b2311dd, 0x9fed1dde, 0xfda697a2,
+    0xedc4229c, 0xf181366a, 0x44bb497e, 0xf0fd151d, 0xcf7cea2a, 0x544dab2d, 0xd7a469eb, 0x69ac275c,
+    0x7ad53290, 0xbc8336b7, 0x7968010b, 0x1b29dc9e, 0xab054c48, 0x2b924f99, 0xf424cbcb, 0x326a8272,
+    0xa1080d25, 0x3892d90e, 0xad7cdcb3, 0xf434a6dd, 0xaa130f66, 0xdae9623c, 0x0fa547f2, 0x840c545f,
+    0x5bd18a5c, 0x544a1f08, 0xa8b8a426, 0xcdf2b785, 0x3262d892, 0xa9fd4ca8, 0xa5e14d5c, 0xe1da364c,
+    0xa0984c2d, 0x8d214322, 0x46324978, 0xd4328683, 0xaa261255, 0xf4d7cc3f, 0x2e76eafe, 0x44fe966e,
+    0xfa757d7c, 0xd1c10bb4, 0xf1a30221, 0xd5e8ec79, 0x4b48d552, 0x3e25177b, 0xa7a92869, 0xfddc0f73,
+    0xa9e4fb48, 0x7e8b6110, 0xff359ef8, 0xdff463da, 0x4c7703d5, 0x04f97edf, 0x91ae8133, 0x922e2dd5,
+    0x3fb8bc43, 0xf46631ef, 0x29471044, 0xac176060, 0x9908a2fd, 0x5ee481cd, 0xf46e31a1, 0xfc718a1d,
+    0xe346ebef, 0xa61bef5f, 0x4b437774, 0xd698c2b1, 0x2041c0a3, 0xe97da5c0, 0x51da8d6a, 0x8d1dc509,
+    0xebadf9d1, 0x1810ffcd, 0xaed0a3bc, 0x279bae32, 0xe8715743, 0x890f35bc, 0x631f2ef9, 0xf5cec491,
+    0x0f09a851, 0x2bae402c, 0x87e67864, 0xca15f030, 0x55320b6f, 0x7d9cb345, 0xca1f8f07, 0xdea62137,
+    0x00253af3, 0x111196c4, 0xa26f15c1, 0xdb325707, 0xd5c5246e, 0x23de798a, 0x88b668ef, 0xa4635aef,
+    0x3d23feae, 0xf31c109f, 0xdad16fe0, 0x81d809e8, 0x850a8f04, 0x5310cc33, 0x9967b338, 0xf2b0589b,
+    0x0264b217, 0x12bbc415, 0xaa569bd3, 0xd1849a2a, 0x5637dfde, 0xd41d2e41, 0xa1fe8480, 0xdbb8c55f,
+    0x79efc5a5, 0xd22c0da3, 0x756da611, 0xe5e9aebb, 0xafa29bfc, 0x91350c90, 0x1a0bc26e, 0x453f6c38,
+    0x8c5ad224, 0x9f49c5d2, 0xd08a1fb5, 0xd482b329, 0xaea4e2e5, 0x041d4ce4, 0x8f7cf9ab, 0xeb936125,
+    0x0f18e73a, 0x14da7721, 0x56707834, 0xa0497b37, 0x556aa96b, 0xd9b09abf, 0x8520caec, 0x4c5277a5,
+    0xf05939db, 0x9cdf4368, 0xebe63897, 0xc4b81196, 0x3647aec7, 0xc00bea80, 0x1da26308, 0xf3bc09e2,
+    0xe4e0dce8, 0x5994eacc, 0xaa012c95, 0xd7084b80, 0x3ec3de79, 0x2483454c, 0x7921d2c0, 0x7b36e849,
+    0x79b15e8e, 0xbc2c681e, 0xa4d2546d, 0x4767ed5a, 0x7ae899b1, 0x91fb8b6b, 0x3425414c, 0x1128cf68,
+    0xf3ecd22e, 0x73ea8251, 0x1b50e87f, 0x7373efc3, 0x0a3c766f, 0x9b198d43, 0x941d5c43, 0xae0fe86b,
+    0xb121be04, 0xe500700c, 0x0a7f4f69, 0xa3efab73, 0x1348c102, 0x24e4718a, 0xb78650d7, 0x9936ded1,
+    0x4f1ab9ee, 0x6078c98e, 0xdabf8df7, 0xcd614a9f, 0x6257aa0b, 0x61e8e2d3, 0x3c4f0277, 0x73652936,
+    0xcbeaf322, 0x57789adc, 0x189b65ea, 0x08202083, 0xcc052410, 0xf463d371, 0x414dea31, 0x042a3a63,
+    0x0759e894, 0x3051769e, 0xfe49b1a4, 0x5fc92d03, 0xba873c6c, 0xe05c810b, 0x49ad94f3, 0x55e78e5d,
+    0x1e9b435a, 0xabc7c834, 0x558e39bd, 0x636f5ddd, 0xf1afb1e0, 0xa620815e, 0x5d65ad31, 0xa23137a9,
+    0x61a14c3e, 0xb7c8d029, 0x7a0ee388, 0x1ebac965, 0x8a07919a, 0x50ec93a5, 0x320d147e, 0xb2fd674f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000005575186299632655785383929568162090376495104 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805928, 0x12599348,
+    0x00000000,
+    0xe3ddd10f, 0x1c1caa3a, 0xd5899fcf, 0x683800ad, 0x2be6a607, 0x74770f9e, 0x3fb8c034, 0x7ec0be7c,
+    0xd8495b81, 0xd51b79b1, 0x58ac9ad3, 0x60ec0b99, 0xdbde98a2, 0x9c884a30, 0x4ac669dd, 0x0af4f340,
+    0x9b383cbf, 0x6040845f, 0x5bc83021, 0x2fddcfc1, 0x03e947de, 0x2e8c1d93, 0x4865ed17, 0xa9bd22f6,
+    0x6d2b7ef2, 0x85fcd180, 0xac1e5502, 0x76ed1894, 0x3cb1f8d9, 0xa1df4938, 0x45a74a47, 0x2dd747bf,
+    0x508caeb3, 0x33acc3a1, 0x04468ecc, 0x8d6945be, 0x8c437183, 0x85bb97c2, 0xf6a269ae, 0x81a9a66e,
+    0x038fa73e, 0xdf4ef2f7, 0xa3356c42, 0x3f0b6c18, 0xfd005ebd, 0xd9ca87d5, 0xa77a2dfa, 0xc699ccdf,
+    0x60ee38fc, 0x754b3ae9, 0x567273b8, 0xa5e0537d, 0x12a9099e, 0x4ff23648, 0x71bc8dea, 0xab304174,
+    0x34ced933, 0x879af662, 0x165d1639, 0xd0b78d4c, 0x882d8a53, 0xfb37266e, 0x75a42bff, 0xb87366e2,
+    0x8efe59f9, 0x05f1b639, 0xe7e8a806, 0x5054afb7, 0x7fe5fa5a, 0x58710f4f, 0xeb2dd4fe, 0x1e079781,
+    0xb70039b6, 0x705512f7, 0xc7639c4a, 0x584409ed, 0xe949064a, 0x71d55557, 0x9f9a6baf, 0x25606e4b,
+    0x9f5e0f3a, 0xd6eaddf6, 0xbef580ab, 0xf13d10c2, 0x151b8b1b, 0xa5c9509b, 0x311443cb, 0x0d5e46b9,
+    0x51a5f4f0, 0x3a4f9430, 0x42aa76e8, 0x6d5a7791, 0xe956d2c5, 0x5b5f320c, 0x09ed8bbf, 0xdf86c58e,
+    0x595df807, 0x43c22a8f, 0xe7de9200, 0x4b479383, 0x59de67c8, 0x5643b5fe, 0x8656466b, 0x9c864380,
+    0xf1bfeb93, 0x00f3f19a, 0x2062e134, 0xeb18b7df, 0x99f7c2f4, 0x690ac4c4, 0x11940888, 0x24dac948,
+    0x7ff846c7, 0x27488dc0, 0xe5f69dc1, 0xa22264da, 0x51c366c0, 0x28cf6465, 0xdd5884f4, 0x4cb2758c,
+    0xa6b6965f, 0x69756b28, 0xe366d493, 0x921d5f5c, 0xf57c9e39, 0x3d54b0e6, 0x336c6dbf, 0xb1ca7eae,
+    0xc1e0857f, 0x0b52ecd2, 0x82d36f09, 0xd89e3c33, 0xee52c5cc, 0x7b145415, 0xb1c1a293, 0xc40ef6de,
+    0x4d1181ab, 0xa1c51f83, 0xd7b2b0ff, 0xe9648bfc, 0x3ffbcb6c, 0x9d544c0e, 0xcb21738b, 0xbe0b64ec,
+    0x7f33f25f, 0x4c893f78, 0xee3eebe6, 0xbb468411, 0x2c025add, 0xbdb43ef1, 0xe1454e4a, 0x4fb72406,
+    0xff8d7dc4, 0x88dcb80d, 0xa1527709, 0x7cab868d, 0x1b2662f6, 0x505bc546, 0x91d9d461, 0x21886e32,
+    0xbc7e07ed, 0xf34b261a, 0x5ce89644, 0xe0713650, 0x4a552d05, 0x5514b4b7, 0xfa84cd65, 0x5a1c6619,
+    0x6c691fe0, 0x38eb5556, 0x70bcc80b, 0xaa5b4be6, 0x86c1a04f, 0x1ca5e5f8, 0xc05549a3, 0x5cce1efe,
+    0x58777642, 0xf2968754, 0x5e9abb35, 0x41041aa2, 0x45c41ea8, 0x9ab5917e, 0xc800f124, 0x2387494c,
+    0x8b7ce0ac, 0xd0fdf85b, 0x599e121b, 0xaf6cd446, 0x59c3a2da, 0x58418276, 0xa4efe0c5, 0xd2ddc918,
+    0x22472f4a, 0x1b0aae5d, 0xe371f8ae, 0x4362138f, 0x39d2a123, 0x2f6c05b0, 0x0fb54ce3, 0xebf6ae6e,
+    0x64759479, 0x53c08df4, 0x9e94a746, 0x2e401748, 0x7c809020, 0x3222dba6, 0x2a367026, 0xcc81036c,
+    0x136741fb, 0xa4545daa, 0x7a378574, 0xf3a5bce5, 0x4da5c6eb, 0x40f8b616, 0xf578fe2e, 0x1c52e29d,
+    0xe62410b3, 0xa360e618, 0xd65a161c, 0x844d4cae, 0x18545810, 0x97df3742, 0xed659d7d, 0xbe6dbdc6,
+    0x28f1e196, 0x1c47cd6e, 0x6a5fa048, 0xab9129fe, 0x670dff1f, 0xac562f15, 0xe9167190, 0x89fca732,
+    0x029a70df, 0xf90f6329, 0xc7738bc0, 0x43070c9d, 0x1082595d, 0xe52ef2cb, 0xa5d7e396, 0x2dc3feb5,
+    0x9c7fdf36, 0x087fcc77, 0x93fb25ed, 0xd277c97d, 0xbea4faa7, 0x2bc2bc29, 0x9f3d7372, 0xfaf28f7c,
+    0x10f3c625, 0xcef1c5ac, 0x7af1925c, 0xe3173929, 0xb4580441, 0xb3c12afd, 0x25458f83, 0x35e6e326,
+    0xb52d5b56, 0xbac2cbd6, 0x9756bc8f, 0xafb7156f, 0x29a818d4, 0x48ca533d, 0xec49c2b1, 0x1e6d041a,
+    0xe1dd6488, 0x5402811f, 0xfef9ccfb, 0xf8e0cc1f, 0x82f56194, 0x2b27e108, 0xf7027473, 0xcfa7f7a3,
+    0x65c46bc6, 0xb5f7c89a, 0xe7f6f47d, 0x322c514f, 0xf2bfce08, 0xde430068, 0x7202ce28, 0x876c62ef,
+    0x7a998822, 0x6b6b0597, 0xb3e7fbef, 0x06bda3f0, 0xdd8d4ce2, 0x0af4af78, 0x23ecda21, 0xbcd12aac,
+    0x8b5055ae, 0x639c42a4, 0xf4046f3f, 0x6d16076e, 0xfe640521, 0x1b137f9c, 0x6768b732, 0xc2c0ddd4,
+    0x2695b322, 0xf47d83b9, 0x29c2123d, 0x8269018d, 0xcce32587, 0x0e05785f, 0xcd9a6cbd, 0x34d452fb,
+    0x8f8059f9, 0x528012cf, 0x48cf1060, 0xee3e670b, 0xd9e23b83, 0x589a1cde, 0x1929a8f5, 0x40723d1a,
+    0xe486d0a7, 0x27dfc8c7, 0xb49a14a7, 0xd3ab98bd, 0xcc52bbcf, 0x63445bf2, 0x6bf0ecfe, 0x3fa9fc79,
+    0xe90bb23f, 0x5e6f5ffa, 0x1ac48def, 0xb2f578bd, 0x8d119a22, 0x8ffe4b43, 0x8810374f, 0x29c45a3f,
+    0x1918816d, 0x1453802c, 0x2129d703, 0xdb404046, 0xeaf249d8, 0xe9838fc6, 0xe8e3efaa, 0x8207be60,
+    0xec53686d, 0xc9686aec, 0xb46e22f0, 0x6a6bee0c, 0x6a7aa506, 0x1e62a0bf, 0x22302759, 0x184f57f6,
+    0x94b486d5, 0x0228e6e9, 0x652442a1, 0xe623ea30, 0x60716935, 0xba7ec7fd, 0x9f5b0a48, 0x1b8677aa,
+    0x3256e086, 0x94010007, 0x28b22623, 0xe64089fb, 0x3cc4ffe4, 0xca151e82, 0xf624062c, 0x046a2076,
+    0x9854d91c, 0x5aa36f2b, 0xb4f44ac5, 0x907cccea, 0x4b5b83aa, 0x1ccd9960, 0x77196402, 0x9db68e36,
+    0xaf85f6d5, 0x4846be90, 0xb284fd93, 0xf1a479bf, 0x9a9c7f09, 0x8dd01faf, 0x80841c37, 0xef2c8370,
+    0x77156164, 0x451df09f, 0x1015fde6, 0xc2af15f0, 0xf53b245f, 0xe6706c3f, 0x5fe8b7a8, 0x2cc6d8e8,
+    0xf450432f, 0x11fd0845, 0x86353030, 0x0ff73613, 0xb825efc4, 0x9dc5ba4a, 0xa73868fe, 0x318e23db,
+    0x989aa9c3, 0xb445cfc6, 0x9aa21a9b, 0x031a976c, 0x7b5f65bd, 0x5eb41e40, 0x32ece9a6, 0x9205f810,
+    0xbfe8ec7f, 0x182e1c06, 0x1a6b12ed, 0x708e8ece, 0x6500d676, 0x9144c426, 0xdb459f64, 0xe926f3e9,
+    0x62f95c71, 0xa9726dd1, 0x0b345c87, 0x50b82113, 0xd2b45fbd, 0x8c8f5c90, 0x2ab8cd0d, 0xca771021,
+    0x10df8f46, 0x57e980d5, 0x9f3bd164, 0x4698ea35, 0x5019f04c, 0x5c1e5d4f, 0x79d3aca8, 0x82782485,
+    0xce2060dc, 0xd03793fe, 0x1c1d61eb, 0x05d40aaf, 0xdf079fe6, 0xc0f18446, 0x58b7d30c, 0xec8085b0,
+    0xd4b73a46, 0x89fd9ae2, 0x56180787, 0x71cc61e6, 0x39c1c798, 0x454003ee, 0x61522cc8, 0x2284fb6a,
+    0xa0ace072, 0x1d57a464, 0x8edfec04, 0xb117c8b5, 0x3d261222, 0x0904e95a, 0x95166f66, 0xf9109de8,
+    0x08183fd9, 0x69bb4f5a, 0x78d415c1, 0x9fc2417f, 0xc922aa24, 0x9f54a4d6, 0x1e22b21a, 0x8d226cb0,
+    0xce5d1180, 0x26314e8b, 0xfde7b89c, 0x906810af, 0xd3afc336, 0x51ff3067, 0x3dd5848a, 0x06b4a144,
+    0x8262700a, 0x9130e6de, 0x3f6b6afa, 0xb094b329, 0x4fb80e94, 0x38efaac8, 0xcaa49815, 0x0a7bc365,
+    0x841d958c, 0x8d11a2cb, 0x9de061c7, 0x1504758c, 0x0d1c4ad6, 0xf5977a60, 0x2cd8566a, 0xd65e7c2c,
+    0xda1bd77c, 0xcebf2a5a, 0x59eb8343, 0x1774f558, 0x01558d0f, 0x3d080c14, 0x4977c264, 0x0c9f7531,
+    0x62bb5830, 0x7052fc2e, 0x957d7ef1, 0xd04572d1, 0x3e009311, 0x9a1ad73d, 0xccb53db5, 0xbe5bb505,
+    0x3f848871, 0x83e49610, 0xd365da81, 0xa2e6bba8, 0xa0b29f19, 0xcc83c0da, 0xccebfda5, 0xd10f1d07,
+    0x4e5f0aac, 0x1e06d575, 0x1de4be31, 0x842aa16b, 0xcc8db7bb, 0xbca4e95e, 0x7f1e1bd6, 0x28ea6a1f,
+    0x5ca0ae38, 0x2abfdf71, 0x2719a5dd, 0x86fa569f, 0xd6968684, 0x7b155bd5, 0xb1a30020, 0xdc84f698,
+    0x3b1a1c9d, 0x2b15b213, 0x6c630e6d, 0xfc727550, 0x0362c862, 0x46608e9e, 0x0d3f8156, 0x2b8b6c80,
+    0x3058f597, 0x41654c46, 0xe771b419, 0x059373ef, 0x8730c29e, 0xb44d912c, 0x6da639d5, 0xfc557700,
+    0x8e8c9458, 0xc99fd29b, 0x183fb889, 0xde0eb5d9, 0x76265c7a, 0xf9028461, 0x68e82d01, 0x63495137,
+    0xe92f4d40, 0xccad4e31, 0x69b7e99b, 0x0ba7de7b, 0xc137c6fd, 0x42235e69, 0x82c38bbb, 0xdabd44f1,
+    0x69bd8cb9, 0xf77e7180, 0xc34265be, 0x3ba88a7b, 0xd9282e2d, 0x15e98b38, 0x7b175a65, 0xea2fb371,
+    0x3a51c42f, 0xb154a6bc, 0x317e2663, 0xefe202a3, 0x80758820, 0xf972d6d4, 0xd0c6924d, 0x0d0bed5e,
+    0x207f0d6a, 0xc9b55818, 0x2ab91714, 0x8fde7597, 0x379e0351, 0xd2d3e53c, 0x9b6026d3, 0x9dcbe90b,
+    0xda62a548, 0x85c19440, 0x98785a2a, 0x1fbeb3a8, 0x04797fd5, 0x0e9b3578, 0xf37974ed, 0xea37b82d,
+    0x21e44cc7, 0x50d3d6e6, 0x1f8d072f, 0x98e1e167, 0x38d068b9, 0x658558de, 0x7159e91b, 0xdccba010,
+    0xea7edd41, 0xd2d7b301, 0xeb3b3cd9, 0xca218ca0, 0x5fa4e0af, 0xe1b1d079, 0xde35326e, 0x029a0fbf,
+    0x5c0a32bf, 0xa2819157, 0x4c8facb6, 0x3722b47e, 0x2b5e1d85, 0x2fa26e01, 0x0716c41d, 0x450a379d,
+    0x7cffa1a4, 0x64692933, 0x001968db, 0x98b17b3c, 0xc0505f99, 0x9322f974, 0x6162b76d, 0x8f453d21,
+    0x10257ad8, 0x6dfc9983, 0x408c5b71, 0x360ae65b, 0xb6218a20, 0x38640b5b, 0xd53e4fbe, 0xcc943008,
+    0xd67acdf9, 0x5578c28f, 0xb5675ef4, 0x103f5318, 0xf57c65c9, 0xd2591537, 0x9e8dcfa0, 0x9b78ad5b,
+    0x3d56b7cd, 0xeff7e49a, 0x708edea8, 0x44274e06, 0x41de9982, 0x1e4d1d7a, 0xb05ac2e3, 0x72f3e2f6,
+    0x5ec1cf35, 0x59e49871, 0xf6c77b54, 0x13cb2ac6, 0x4cf5ccdb, 0xce128bac, 0x20075784, 0xe0ef8995,
+    0xf557305e, 0x3423de51, 0x92617d3d, 0xfc2d1193, 0xa808a2f9, 0xe6bc1aaa, 0x73e0bf9f, 0x4613f44e,
+    0x1699be5b, 0x241069ba, 0xe1970d5c, 0xbe3cb17a, 0xefd282af, 0x21d67a48, 0x52a8faae, 0x64b64a8e,
+    0xbd3045b9, 0x4f198ba9, 0x57917cf1, 0xf1fa43ab, 0x764bb8fa, 0xf812ac22, 0x33f27021, 0x71b85088,
+    0xe7be9ce0, 0xda6a22d3, 0xac83d5fe, 0xc9909754, 0x63e5a769, 0xb43e2290, 0x833f6ba3, 0x90458bf7,
+    0xba2b7ebd, 0x0649b7c5, 0xb8e3d75d, 0x740c241e, 0xec4144a4, 0xc2c5ee9c, 0xf6685a76, 0x3f10bd66,
+    0x596b9114, 0x58cde134, 0xb1a68d67, 0x28a5c15d, 0x6808af0f, 0xa3728b40, 0x1e7542ec, 0x3185dc8a,
+    0xc886b32f, 0x7e822284, 0xf113efd5, 0xe89e3bed, 0xc24d1bee, 0x8ad1ef65, 0x8a7d4426, 0x1a6eba82,
+    0x7c92fab9, 0x4313c67e, 0x1b9cd5c9, 0xbdc8a1c3, 0xa4a0eca8, 0x1dc0f055, 0x46de0480, 0x03b59ebe,
+    0xfc760f7a, 0x99c7f878, 0x66066bc6, 0x31e03f76, 0x4345080c, 0xfe28d1e0, 0xe16c0ba1, 0xd93643bd,
+    0x1e30f91e, 0xad6bdab5, 0x0f4252b7, 0x59a4fbc8, 0x8ed412a8, 0xd5b1f481, 0xbd4cac56, 0xeb093712,
+    0x5b3fd1a5, 0xb0dbbb4c, 0x6a928981, 0x2c3dbb7e, 0x9dabff22, 0xc2236416, 0x00bdcd92, 0xdf3dc85a,
+    0xb5d3ed77, 0x178b751e, 0xd03e2917, 0x213f1436, 0xf5235de0, 0x99338869, 0x8fd69fa0, 0x608bbe14,
+    0xf3f5daf4, 0x8228581d, 0xe46e8572, 0x10b27d39, 0x2fd0df10, 0x125ab2a5, 0xfa0ce6d4, 0x50653f7a,
+    0xdccdf517, 0x939dd1ce, 0x4560776f, 0x97004803, 0x45c08bbe, 0x2177a30f, 0x4f403ebf, 0x459ba66a,
+    0x4ddaa19f, 0x88b99655, 0xaa0664b5, 0xb6036ed4, 0xcc897405, 0x04fb4dab, 0x1d2c7276, 0x8c711f9f,
+    0xefd3935d, 0x766e99d5, 0x0e447ed5, 0x40e1f991, 0x4729bb61, 0x15443efc, 0x48bcb317, 0xdc650e81,
+    0x5b7c1bdb, 0xbb37d252, 0xb167044b, 0x942dc55b, 0xfb29c202, 0xbd8b7f00, 0xe980e2f2, 0x471502da,
+    0x662b97f0, 0xa0becd10, 0xd25dec94, 0x80d8b107, 0x399f5375, 0x46fc9a4b, 0x4e557e4c, 0x32c89f03,
+    0xab886eec, 0xa2870b8d, 0xccf007de, 0xf25fb71c, 0xbc4bc7d8, 0x57f55354, 0x7d6ed9be, 0xdd671c32,
+    0xcd675eab, 0x635f07ae, 0x9596c60e, 0xca648bd5, 0xdfd2d53d, 0xe50134b1, 0x6183afd9, 0x884f5f1a,
+    0x07a0ffd4, 0xd79a29b4, 0xa2ecd14a, 0x1eb718ea, 0x9ba287ac, 0x2fdf32ba, 0xaaf906db, 0x5f3d374c,
+    0xda5c4d8e, 0xac147654, 0x21e73d11, 0xa6e59a84, 0xed45495f, 0x575f5039, 0x957aaef5, 0x7381da5b,
+    0xfa6552cc, 0x5ec9bc4a, 0xf3f66dc0, 0xc66113da, 0xc256b652, 0xf433b956, 0x6269d59d, 0x7580a3e8,
+    0x02bb8a8f, 0x01464602, 0x4dc72696, 0xe0d3aae4, 0x5660f43e, 0xfb8e7a8b, 0xf4f66d0d, 0x304d80f3,
+    0x6ff3772e, 0xbdb0bfee, 0xe197c79e, 0x2c05e80f, 0xf10cce3e, 0xa0696e88, 0x5958b995, 0x7fafd527,
+    0x6d4ca49f, 0x9c0a23f0, 0x776d269c, 0xd34b0450, 0x76f2430e, 0x1bac6b96, 0x0d1cb720, 0x00574a0b,
+    0x980ae2ae, 0xe3eb4af4, 0x009c04ee, 0x6d8c4db0, 0x63d88184, 0xdd74344f, 0xa01d3d60, 0x0ed9585e,
+    0xa6423051, 0x1b35048e, 0x5536f204, 0xf38bdc87, 0x26f52f1a, 0xc2ff2e14, 0xd747fa41, 0xa39b8ace,
+    0x86a67935, 0x321f1e7d, 0x01ccc02b, 0xd6cff430, 0xcc1db563, 0xf99e7db6, 0x309a8ab0, 0xb68c9b67,
+    0x963e9829, 0xdf0e68e7, 0x83c7372a, 0x42aac5d8, 0xbfe90445, 0x6156cac5, 0xe116cdce, 0xb2d5b2be,
+    0xe76f0690, 0x2e463c9d, 0x8d2a55b7, 0x39261a27, 0xf01b0073, 0x51bdea6b, 0x5c1640fb, 0xdb68fa95,
+    0xa565a29a, 0xa88a6fb9, 0x81c44c8e, 0x687ae0e3, 0x4dad46ba, 0x474caf36, 0x4afb3535, 0x0ee4cabd,
+    0x89e50bce, 0x0ef105dd, 0x500c3666, 0x17d60338, 0xda45ebb3, 0xefae7d01, 0xfea87283, 0x87429435,
+    0xefe3556e, 0x757ecc68, 0x3c498beb, 0x9b65f40d, 0x83e67a55, 0x1c4dfc14, 0xa12cecdd, 0xeca578f4,
+    0x874e2f98, 0x9f8c424b, 0xfd4b4d84, 0xb3b0409c, 0xc2929f03, 0x09fb0c08, 0x9bd28c25, 0xcda95098,
+    0xddfe97b2, 0xfcca4ea2, 0x060af2cc, 0xd8b3b16f, 0xaa72870a, 0x005f74c6, 0x579f6f17, 0x753f0df9,
+    0x2a6c32e6, 0x16ac95c5, 0x4ebaef93, 0xd0e0c89d, 0x9b46902d, 0x9a447a6d, 0xe8751329, 0xa1129cb8,
+    0xa6aa3477, 0x46d68e13, 0x1312d2ae, 0x0557a43f, 0x9c37e849, 0xaa8e474b, 0x7bbfccba, 0x733c6279,
+    0x9f03eb61, 0x48cd1a47, 0xd65e7b4c, 0xe0284e8c, 0xe44c4786, 0x40ef1bb9, 0x50802210, 0xebfd3a90,
+    0x133eea3f, 0x4267b1fe, 0xfb4afdb4, 0x4978fa8e, 0xd002654b, 0x8137b68b, 0xf72fd52b, 0xed5d287e,
+    0x49d25d59, 0xd0ae458a, 0x2e4fee94, 0x3dd65a2f, 0xd9a07eec, 0x1da1f8ac, 0x14d93acb, 0xdead215c,
+    0x21eeb237, 0xef58e56b, 0x167ee106, 0xeba62e61, 0x157350bf, 0xeef5d2f3, 0xb06cae02, 0x612814c8,
+    0x5adfe3fd, 0xcf990978, 0x13114842, 0x49f3bf8f, 0xebb45daa, 0x95c3a848, 0x5ac44abe, 0xa056eb42,
+    0x53fa7ffe, 0xae465fdf, 0x31f579c6, 0xc71bb770, 0x338c7ccf, 0xf16bc614, 0xcca40c31, 0x3098bb00,
+    0xb0fdfdcd, 0x3a1c467b, 0xc08c2a0e, 0x40d12da9, 0x7de30ccf, 0xa60ae812, 0x4b283792, 0x6cdbe060,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000002787593149816327892691964784081045188247552 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c94, 0x092cc9a3,
+    0x00000000,
+    0xf1862158, 0x43a5b1de, 0xb7187af5, 0xfca0ef94, 0xb741072a, 0xf16b511f, 0xbcfa187f, 0x393df0da,
+    0x76d2830c, 0x2a29a6f8, 0x1a8a89db, 0xa2e807f2, 0x67df2004, 0x706950dd, 0x795e3ea8, 0xb1d61a06,
+    0x81a32e85, 0x00fa785e, 0xbf92fe3a, 0x25df94de, 0xbff13fdc, 0xa362e302, 0xf549011c, 0xa4ece0ac,
+    0x326895b7, 0xa9379ba3, 0x3c46a6bc, 0x3e1a0413, 0x9cd02030, 0x8581b76b, 0x1bc6344f, 0x1a9364fe,
+    0xa85d8623, 0xe5ee39bf, 0x4d0e1a33, 0x4752bb7c, 0xf628f585, 0x35d5130e, 0x7f351b19, 0x7208e99a,
+    0x9d1804e0, 0xa004c25e, 0xed7df3fc, 0x90745eb9, 0x2ff65b9e, 0x81d7f531, 0xf70c4f6b, 0xd47480f1,
+    0x2002d769, 0x26068f48, 0x74c5ec0b, 0xd1b9dab3, 0xc29163e9, 0x3fda7916, 0x85062d2e, 0x584b18cb,
+    0x60073dfc, 0xe14de720, 0xc53b67f1, 0x45be02f0, 0x900f2b06, 0xff99c084, 0x93679f8b, 0xb9fdb502,
+    0x4d44dcd5, 0x7c653e6f, 0xa8e54752, 0xffa2b1b4, 0xcf75ec3a, 0x147cd53a, 0xfcdf4249, 0xc2745484,
+    0xde0b4161, 0x5e651bfe, 0xffd5a608, 0x4f1f9055, 0xeef3c361, 0xf0825e01, 0x2ae7f96e, 0x2e788418,
+    0xb944addb, 0x33f22e14, 0x14d49fdb, 0xaedd013b, 0x351fd48e, 0xa012c45b, 0xf4efbcb2, 0xeaaa5937,
+    0x5e01f7f4, 0xce4f2cf2, 0xf756fd74, 0x6705bb6b, 0xa96e2e1b, 0x474b46cb, 0x34b1a0ca, 0x697b75c2,
+    0xf84fa84f, 0x605b553e, 0x21926ac0, 0x50fed542, 0x1cbb5adb, 0xb4baa556, 0xae217fa7, 0xed26a4bd,
+    0x4a39333f, 0x68fef766, 0xb24b8676, 0x4535e9a1, 0x317d7343, 0x3012a5d5, 0x597a04c6, 0x832a552b,
+    0x89118bf1, 0x3186fb8c, 0x4217bf07, 0x21a822fd, 0xea14d279, 0x838d9734, 0x6655d6f9, 0x1391d794,
+    0xf3032a91, 0xb5350762, 0x5d7e4936, 0x918a4b05, 0x4641d40c, 0xd40532d3, 0xb363054c, 0xdc265d54,
+    0xb752a2c4, 0x22b7e6a9, 0xe2b61b49, 0xbc65c11d, 0x46e2859f, 0xaaf7ba2d, 0x329a3223, 0x0a72a703,
+    0x1e453226, 0x5053c7ef, 0xe3205e28, 0x9c270d15, 0xf4c1a96d, 0x9379158d, 0x560390ef, 0x286be739,
+    0xe4c8ce0e, 0x517faafd, 0x04b205d8, 0x2b04a8a6, 0x79fc53ad, 0xdffba2eb, 0x54d32036, 0xc440df3d,
+    0x67e7469c, 0x4f92390d, 0xd643c43c, 0x23dbab01, 0x47113162, 0x01ff82cd, 0xa25210e0, 0xbdf0e817,
+    0x38372a32, 0x34d2e130, 0x45eb2c14, 0x7b4f5872, 0x0d4ad47d, 0x10b07069, 0xc39037ed, 0x94af70a0,
+    0x25831212, 0xd0451641, 0xddeb0a52, 0xc2437aee, 0x41d04bd9, 0xd730838c, 0x6ff2058d, 0x56a9d2a9,
+    0x553c5138, 0xb275c1ee, 0xa1b47dbe, 0x4024f5ce, 0xb19e8b4e, 0xaf0858af, 0x946d8f37, 0x8ab65b4f,
+    0x31f206e9, 0x8a0afb68, 0xdd186d31, 0xc0917f9a, 0x4b500631, 0x08ba3d2c, 0x416f2d70, 0x20d9a1df,
+    0x9097732d, 0x50ad45c7, 0x47f415f5, 0xc9695e8c, 0x584a00e5, 0x598b4e4a, 0x11d69eef, 0x08159a15,
+    0xa4190aa8, 0x5dcf21e3, 0x0463f728, 0xdc5202c6, 0xb64ec786, 0x4205e96a, 0xea392f86, 0x4cc0320e,
+    0xbfec5cea, 0x99062777, 0xc02faa7d, 0x004e3593, 0x39f704b6, 0x49fb25dc, 0x7fb2740a, 0x0c07606f,
+    0xe22c0fba, 0x1fd7dbb9, 0xe6151aa7, 0xba50a4b1, 0x80e35411, 0x31b94ca5, 0x79727615, 0x1d8d4c08,
+    0x100511dd, 0x3c1baeb3, 0x48a6ed2d, 0x7789a53e, 0x7973b2ec, 0xcfdd21d3, 0xfa691fb2, 0x6e32276a,
+    0x76c4d434, 0xb793707e, 0x4c012409, 0x25e61970, 0x95bb46bc, 0x02b8bf76, 0x9ffe807b, 0xeab5d5e6,
+    0xd6269416, 0x1429915b, 0xee2207ff, 0xfb2fd4ef, 0xa2ebe763, 0x153191a0, 0x5fb93c43, 0x52cdbe07,
+    0x0b755e3e, 0x8fd1deff, 0xd77dc903, 0xafd9ac14, 0x9d798f31, 0x9a0043f7, 0xbf2279d2, 0x444754f2,
+    0x2b1f53fb, 0x49fbdf1f, 0xdbd4ae7d, 0x22e51eb0, 0x445f8f67, 0x7a7482cf, 0x32602b98, 0x2834f2da,
+    0x45bfc341, 0x27cabff0, 0x64d77dad, 0x0bcf90bf, 0x93029cc0, 0xdf029734, 0xef3f908a, 0x3501c5af,
+    0x74fe50d1, 0x031b6881, 0xd688d7e8, 0x9dd8f99d, 0x42f715a4, 0xcade854f, 0x6b17fec0, 0x9c6ba263,
+    0x81e50851, 0x70cdda52, 0x7cc5f686, 0x1fd29b3b, 0x06e97efe, 0x4670b8ec, 0xc9bf6b9d, 0x479c1451,
+    0x007ea672, 0xe9b7b857, 0xda9e34a6, 0xcb922506, 0x764de4b0, 0x91a2ca22, 0x80e7a897, 0x4cc91ec1,
+    0xfcea3976, 0xed776c0b, 0xaf2f2a91, 0x7cb67759, 0xe65769ac, 0x64b87da9, 0x27082887, 0xbb5f5416,
+    0xc74620ea, 0x2e3ec123, 0x6af0ff84, 0xe214eaec, 0x81c9432f, 0x46f91388, 0x7e541eaf, 0x9309eaf9,
+    0xb7e01e4b, 0xfcf717b4, 0x226b4858, 0x8038a357, 0x99d1d164, 0x9ca9f7a7, 0x1069e694, 0x3e9b1af0,
+    0x4e722c88, 0x67a26a3f, 0x779f832e, 0xbfc98568, 0xde718cac, 0x87fa08a7, 0x1dbd21bf, 0x27189b88,
+    0xf4dbfe8e, 0xfac512cd, 0xec35d9d3, 0x3aba304f, 0xe8566150, 0xcf38c059, 0x9c0a0224, 0x2e9fdd6e,
+    0x50e8d985, 0x9926da16, 0x46cb7671, 0x0872b49d, 0xa8cb348e, 0xa6a83f67, 0x4c4887b1, 0x19dc2cd6,
+    0x1bc30910, 0x6868c59e, 0x0f9d786c, 0xbe632cb5, 0xd89b064a, 0xef462f58, 0x95d6df9e, 0x19fad1b6,
+    0xcf4ebb9e, 0x16562ca4, 0x77cb0e12, 0x1609a607, 0xd01b052d, 0xd2bbfa81, 0x54ef4a1e, 0x704f662b,
+    0x4892a91e, 0x9508b7c0, 0x0cc8e422, 0xeec67615, 0x459f68a1, 0x471457c5, 0x4ebdca41, 0x9133eb13,
+    0x9fa03fa9, 0xf25a547d, 0x771b89e2, 0xc3a1e1dc, 0x8dad01b0, 0x25b32c69, 0x19a2434b, 0xe752322b,
+    0x4a3646d5, 0xd171532f, 0x156e0315, 0x260d77a7, 0x5023f08a, 0xe6512a12, 0x70a599ea, 0xf197431c,
+    0x5db41a7e, 0xe691f67d, 0x9e3b011d, 0x9c6459a3, 0xcf9fa501, 0x74595c42, 0x255c99f5, 0x974f6fee,
+    0xb89a97b8, 0xedae1336, 0xe622b6df, 0xb1ccc40a, 0x79fc4cc2, 0x39444b64, 0xacd2c818, 0xb10d98c7,
+    0x12054ea9, 0xd6af47ae, 0x89799e7d, 0xd047f8fa, 0xe380ca87, 0x411a4e89, 0x779a6061, 0x5569d9fd,
+    0x913af8d5, 0x26392f17, 0x6cec2a93, 0xa8996fc6, 0xdfa26486, 0x6626386a, 0x1ee35ba4, 0x2f6fb4d1,
+    0x93a8f294, 0x72fd1a8b, 0x858715a7, 0xd24c6637, 0x38e1e26e, 0x8bd65e81, 0xebc70fd0, 0xc2887608,
+    0x24c3a847, 0x731d351e, 0x3dbbcba5, 0xc5149c8d, 0x507c4480, 0x70f35546, 0xcfa868f7, 0xfd7f76c6,
+    0x076954eb, 0x591e95e0, 0x3b8d4f4f, 0x89516709, 0xafef85b3, 0x031aa772, 0x75810a3d, 0x856f7f86,
+    0xe9c362be, 0xc8e34857, 0x49154182, 0x402a7322, 0x379d4c91, 0xed90c8ff, 0x02a0b81c, 0xdb719a67,
+    0x72785235, 0x6ed3f4e2, 0x3f92cb5d, 0x1e3c4a65, 0x261f878f, 0x268231c2, 0xd6fc891f, 0x462a101f,
+    0xf7efd5a6, 0x5228af79, 0x826d611b, 0xbf1f0796, 0xdae60328, 0xd9ad1dab, 0xda083f4d, 0xdcad4902,
+    0x7a611a69, 0x129d7bfe, 0xb78055de, 0x1277f3a5, 0x7f95cf02, 0xd063b236, 0xe00822f6, 0xaac5d33b,
+    0xa9c186b4, 0x59df27aa, 0x74124255, 0xe5fc23b1, 0x7d88cc16, 0x14839668, 0xcdf777a3, 0xa292809b,
+    0x55b04333, 0xbeee463c, 0x4f824eab, 0x1e6acc56, 0x8be4c6fb, 0x2d55dce6, 0xc17704c0, 0x3b0a529c,
+    0xca1597af, 0x1d190d79, 0x73d44476, 0x5a737732, 0x9a311abe, 0xac3e6b84, 0x1bc5c3c9, 0xaa6dd98b,
+    0x2db985b2, 0xb5b72928, 0x1433ca53, 0x1bd1d2c9, 0x6d522561, 0xdfd0b8b1, 0xe9bdb109, 0x5dc6ae25,
+    0x4d1a30b9, 0xd0c5fb3b, 0xdf1ecfb2, 0x5b9ad56d, 0xb683fb84, 0xbcc3949d, 0x86ead812, 0xbe382052,
+    0x28d869a6, 0xb8e7d4ec, 0xc2ac821c, 0x538bf85e, 0xc05591dd, 0x975c28c6, 0x137c1707, 0x2799c698,
+    0x5839a70d, 0x023ebaab, 0x5bbec4d5, 0xe4aed43e, 0x76b77a31, 0x1f05472a, 0x2e8fb3a5, 0x810b23c1,
+    0x492d28f9, 0xa7ed7b31, 0x750686ca, 0x4c5aa6f7, 0x2303fa28, 0xf76a0668, 0x9bc0968b, 0xd0243d4c,
+    0x155380d2, 0x16501a89, 0x6452f627, 0x3409b102, 0x248f68bc, 0x787abcd8, 0xdc8977f4, 0x98ebf34b,
+    0xeece8437, 0x1c44fb6d, 0xa3e663fa, 0xa1e958ec, 0x95108e61, 0x6c6bb668, 0x533f3c82, 0x573c754c,
+    0x5731d1be, 0x3f9eac4e, 0x476146cc, 0x661cfe1c, 0x77cf99ff, 0xcd8cb27f, 0x66b3d5d0, 0xfc275aee,
+    0x0ffa0879, 0xe25c36d3, 0xa223a780, 0xd5bc12e3, 0x7cd2405d, 0x16d470ff, 0x5b26de6e, 0xdbd67394,
+    0x91fe61b0, 0x8fb4fa1e, 0xecc4843e, 0x454b94ae, 0x5312ac55, 0x791b6298, 0x5a317e12, 0xd2ada641,
+    0xe9e80893, 0xf2bb827d, 0xc88f322a, 0x8380cb95, 0x891d2200, 0x39ef42af, 0xd4b2892b, 0x40ae1d93,
+    0x0c56d95c, 0x73b93e88, 0x575e58c4, 0x7b94f919, 0x661d3e79, 0xa629b324, 0xd1eb0beb, 0xbb7fd2c9,
+    0x61935949, 0xb7f5f033, 0xde6c53a6, 0x3523745b, 0xacaa5f1c, 0x52e0367d, 0x3e07dc5f, 0x991e65d9,
+    0x1c4b62bf, 0x32dbdaec, 0xccda659c, 0xcf013027, 0x7ba37f97, 0x67b7bdf0, 0x948566f2, 0x2befed19,
+    0xd186eabe, 0x32411d3c, 0x5d43c1af, 0x33946bed, 0xdb7d3de3, 0x763d9b5c, 0x62d251bd, 0x9197b22f,
+    0x18c152d3, 0xb8bd06da, 0x4d3f3624, 0x6d1fe773, 0x1911d218, 0xbd5a5473, 0x58eee05e, 0x6c6186c3,
+    0xff5178d2, 0x4e6ae352, 0xae2bec93, 0x6ccbad29, 0xb2288a87, 0x9a90916a, 0x35fb9f30, 0x78fae06c,
+    0xefe3b071, 0xa92d9782, 0x3b32f6b9, 0xbd013196, 0xde6fff3e, 0x229450f3, 0x3c9b1110, 0x780d1653,
+    0xfa7eefe6, 0x88af3a1b, 0x672f7a89, 0xee866b59, 0x15006d46, 0x31f6b239, 0x7ec01615, 0x7af95fde,
+    0x59462b51, 0xfdbfdd44, 0x33d37172, 0x79b93016, 0xa4288b1a, 0x5114d41d, 0xdf5ddf6b, 0x034ff158,
+    0xbb0b48b0, 0xb6ce3815, 0x557f5430, 0x7217803c, 0x5b04be9f, 0x894dfeff, 0xca727940, 0x5a2aec0f,
+    0x50e81074, 0xe6c9c29f, 0x315020eb, 0xe78a3be3, 0x1cadfce2, 0xab0839f0, 0x7934fdf6, 0x07a72741,
+    0x7d52d991, 0xa2e50dcf, 0xcd34ec7a, 0x53e91522, 0xba162541, 0xc8bcb9f8, 0xe2b525b3, 0x8a1fc681,
+    0xdb4ecadd, 0x42df54ae, 0x6ba3fae1, 0xcf5607b8, 0x3f566664, 0x5b5e5a2a, 0x1cfe1e2e, 0xe82b873f,
+    0x0935f6a3, 0x60b903b0, 0x4d447f74, 0xe0513085, 0xe88f568b, 0x966aea67, 0x61201f1e, 0xfa6c78f2,
+    0x85619ebd, 0x689bd41a, 0xf88e28f4, 0xc99a5f57, 0xb6b1227c, 0x9c6659e2, 0xcebd9105, 0xd9ea2964,
+    0xf086cd75, 0x74c5cc5a, 0xe555addc, 0xfe4865d3, 0xeb852b7d, 0x92bbb4e9, 0x86607fe6, 0xea14f97c,
+    0x33837c41, 0x9686f780, 0xe373ca21, 0xded409c7, 0xc86cc246, 0xa5d7ef82, 0x230d7f58, 0x26ccf76b,
+    0x1b50fb3f, 0x3f98e351, 0xf17950ac, 0x3fa11229, 0x35c803a4, 0x21b405b2, 0xd44e76c6, 0x1988aa10,
+    0x4aea3f3a, 0x90c2f487, 0xb54fb507, 0x54357610, 0xfe4cee83, 0xaaf2ac8c, 0x94d4d096, 0xc40141da,
+    0xec6a0d9f, 0x2a29c75a, 0x3e3f30c7, 0x5deed49e, 0x8f1f1d63, 0x44d09958, 0x89841367, 0x5f85fe0d,
+    0xe8d814bc, 0x81656558, 0xd3f00b71, 0x9a6cace5, 0x935c2398, 0xdea79e3b, 0x9c75b570, 0x59b1e27d,
+    0x748ff6cf, 0xddcb5625, 0x758b6f2d, 0xe9c97774, 0xe3bfa646, 0x4190dfca, 0x46b6b986, 0x862f655a,
+    0xe45c768f, 0xebdc5a6b, 0xfba9a2b9, 0x91a0dc12, 0x9149366d, 0x33a83651, 0x9bf128b9, 0x6213f96b,
+    0xfaace9f4, 0x3cbb006b, 0x48e190d0, 0x04b67ccb, 0x733bdb71, 0xd543e8e1, 0x69de35ba, 0xb7dcc443,
+    0xb43810ee, 0x75eb389f, 0x1e442017, 0xfe4e86e8, 0x85f8db60, 0x3e3a2fb9, 0x6579a8d8, 0x9c03d874,
+    0xe97b580e, 0x4c6e1839, 0x2df36248, 0xeeba17bb, 0x5bf8a701, 0x39af76ec, 0x39ecbcdf, 0x99f90a31,
+    0x90e802f8, 0x5e685a1d, 0xaf7f2732, 0xf53e95e0, 0xf9f01c87, 0xd66f3656, 0x8bf05e2e, 0x3a0922ba,
+    0x1bac34bc, 0xce7cc278, 0x26931a46, 0x75c43ee0, 0x42e919ec, 0x6d77d7c8, 0x22a23c57, 0xc6a64178,
+    0xa4e67073, 0x45860cec, 0x591e331e, 0x090522c8, 0x566c5616, 0xa7ca83fb, 0x1ed609ab, 0x617cfd51,
+    0x61805e23, 0x793281fa, 0x3e4f8810, 0x61ecf0e5, 0xafeb978d, 0x57b947c4, 0x83126848, 0x2d6954d1,
+    0xb329c918, 0x83c993ca, 0xd42d6d51, 0xb0032c04, 0x4b793cca, 0xa04bf79e, 0x1bae97e4, 0x97349e17,
+    0x9350bfd2, 0x579bd02a, 0x2347034a, 0x26ae0094, 0x81341385, 0x165eee94, 0xbb9ca77f, 0xb47fe389,
+    0x9bd0319d, 0xf3eef16e, 0xaab00b14, 0x6d53215b, 0x2d03dbc8, 0x059883e4, 0x4bef4d6c, 0xf2a58860,
+    0xac7c8367, 0x7d517a80, 0x4e98e612, 0x5c8d7b69, 0x20ff3fd7, 0x62ebda50, 0x724d87ed, 0x9175cfbb,
+    0x87abf408, 0x13b1107d, 0x991736e7, 0xc2cdb34c, 0x490a0223, 0xf1b5a3aa, 0x8bbbd705, 0x2b6a7bb4,
+    0xafa22150, 0x163a9e44, 0x816bca3d, 0xddba133c, 0x922b8977, 0xb84dcab7, 0x8eea7d02, 0x540ade4d,
+    0x33249144, 0xcccf621a, 0x677b3877, 0xae94afe0, 0x7072b495, 0xf33c6770, 0x48299616, 0xdaa77200,
+    0x22b85e3a, 0x0b1836ad, 0xced29820, 0x645438b6, 0x2ecf338e, 0xb8cf6c56, 0xebdbf8e5, 0x391f6224,
+    0x6114ba91, 0x890f59ee, 0x918efaf0, 0xa954644d, 0x7951d5d3, 0x8d359347, 0x5d0fa05b, 0x950b4f93,
+    0xfe240ea5, 0x74feb7b2, 0xd7a2d3a6, 0xadba2522, 0x57ffe964, 0x24c9f11d, 0x74ac0459, 0x6ae0dcfb,
+    0x49e57907, 0x031c483b, 0xba17cb48, 0xccd0b2aa, 0x2128c0d0, 0x4d4cf491, 0xbf39b03e, 0x4d2a8d00,
+    0x995dd029, 0x7497cf51, 0x46292f83, 0xfb9234ff, 0x83592fd5, 0xce6ce1ad, 0xe91c2f53, 0xc994e46d,
+    0x29e615fb, 0x9a5e5893, 0xf3818f36, 0xa2ea9ae7, 0x8f928e6f, 0x12614f85, 0xa37ddef2, 0x28c7c31d,
+    0xfc044cfe, 0x5bf861a2, 0x139a5566, 0xd37d1886, 0xa023e65a, 0x80b031f0, 0x66de44dc, 0x8aa3e1ee,
+    0xb8063320, 0x2c839b0c, 0x123e666c, 0x9a3d30aa, 0x577937a1, 0xe5d84efc, 0xeeb07397, 0x2bb79288,
+    0xd9335569, 0x75d05cfa, 0x87f63063, 0x36bca8d5, 0xbeb45190, 0xf37265f4, 0xc15987d9, 0x70cf5831,
+    0xe4090e73, 0x656566a1, 0xd1763603, 0x27aa4cf3, 0xba8489a3, 0x63cff2bb, 0x62bc24df, 0x8ee87fcc,
+    0xac1410a7, 0x258d3529, 0x742e8db4, 0x42859d40, 0x4a75a69e, 0x09ae93a5, 0x761c1f19, 0x0b83ab59,
+    0x459f33b3, 0x9ab8826c, 0x8849fa15, 0xb9670c78, 0x1017c582, 0xe51e6e5c, 0x1ad5d9fa, 0x37e9af5a,
+    0xc69a82a3, 0x2a1692b2, 0x3ff5c8ef, 0x2b668a1c, 0x9e3ad811, 0x7401116c, 0x254cd542, 0xedb81c79,
+    0x985871af, 0xafd4434f, 0x38a170fa, 0xe4909cb7, 0xa2d0cf5e, 0x3f13ba3f, 0xc9d9fb8f, 0x55588a9e,
+    0xafbd0704, 0x803cdc0d, 0x474787a4, 0x97b3dd76, 0xe0f12a07, 0x4fec1506, 0x8984a2a5, 0x1fa10253,
+    0x86df7505, 0xe1b6630f, 0x927c2d74, 0xc712af83, 0x57c0d0e9, 0x381cdcea, 0xbb7e6b8c, 0x169e1800,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000001393796574908163946345982392040522594123776 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x8120164a, 0x049664d1,
+    0x00000000,
+    0xafd3a973, 0x1a467b1a, 0xe1c6a363, 0x22576a8e, 0xf0b7f184, 0x0a0595d3, 0x5bb6f9b1, 0x0ecb7bd7,
+    0x6b79dab1, 0x2a3e3c6d, 0x72ec6c0f, 0x04d36098, 0x238b0bac, 0x62e69f2e, 0xcdc77282, 0x270ce9fb,
+    0x1e1a256a, 0x3d98074e, 0xa7fb1431, 0x75fb3a30, 0x1e6dda4e, 0x4f67474c, 0xcce02488, 0x1bafe335,
+    0xb140249b, 0xfc500a4b, 0xdd66e878, 0x631141ec, 0x34176372, 0x88adef71, 0xef335305, 0xb05bdc39,
+    0x26fe40e2, 0x13007813, 0xf481c41e, 0x12c09b44, 0xac0fdbee, 0x8c610fa5, 0x4e1473b1, 0xafb933de,
+    0x433a68ec, 0x561ed13c, 0xbfa4cf22, 0xa4a9dd54, 0x68ab8b1c, 0x3e3ebaad, 0x238ceee2, 0x8051ad0f,
+    0x1b1fc247, 0x32a4baf6, 0x329d26fe, 0xcc73ff3d, 0x13e8f687, 0x52bf461e, 0x766a735e, 0xe650cab6,
+    0x31e98fab, 0xbadf26bb, 0xe9d51bfd, 0xa67d6d62, 0x5058abf6, 0xad045379, 0xe2c2b4d3, 0x653fbfae,
+    0x037fabb7, 0x3efb35e8, 0x412fbdf3, 0xf2a4987d, 0xba465417, 0xeeebc3b8, 0xe84f4b14, 0x54e5769e,
+    0x7d117ad9, 0x43134a4d, 0xee604c2a, 0xb4e43993, 0x1fe6c7d9, 0x4306000d, 0x15ca728d, 0x1038a51a,
+    0xc1a5c2b6, 0x28eaac2f, 0xac234789, 0x1f34f505, 0xc1acf900, 0x0b78b097, 0x09996db5, 0xed7b6e46,
+    0xb8ee45a2, 0xfa85ccab, 0x74aacd0c, 0x5ef385a1, 0x2991f129, 0x9c48aa77, 0xee16ade2, 0x38d960b4,
+    0xe62080ed, 0xfdeb9e99, 0x0e9e429e, 0xd2c85a7e, 0x3aafcbdc, 0x5c845621, 0xac5a48cf, 0x9bec6390,
+    0xb65ff3bd, 0x28728201, 0x369261d3, 0x65c4bdf4, 0xae5adb3f, 0x95ae2654, 0xf256230b, 0x9544ee5b,
+    0x4e174fc6, 0x79cece76, 0x25abfc97, 0xcbd61511, 0xe605752b, 0x6867dfd7, 0x55fa19e9, 0x8396ae5b,
+    0xa638b7a6, 0xe38d7050, 0xa631164a, 0x6d4e9eb7, 0x3a6d99a5, 0x747db723, 0x78924136, 0x05c2618f,
+    0x47bf90d4, 0x84413ecd, 0x69315d60, 0xfcdd2e72, 0xacd79928, 0x26708a0c, 0x33d991f7, 0x1cc0e0ec,
+    0xc6d0abb6, 0x496d6eca, 0x581c77ee, 0xa51f96a0, 0x44fbfb29, 0xd6755c18, 0x27bdc308, 0x96faf4be,
+    0x35403129, 0x1be62983, 0xa02ff808, 0x43c03db9, 0x4f3b7146, 0x55dd6603, 0x7d4f0056, 0x6df44e2e,
+    0x731e0d6a, 0x14936d66, 0xdb619b17, 0x6c5aeee3, 0x2ea73ce8, 0x8d8a3e61, 0x40371912, 0x3b87a655,
+    0xad9cb4b6, 0x0099d5ba, 0x0925ac83, 0x72fdad1d, 0x891e8caa, 0xbadef943, 0x04b40475, 0xd6389d5b,
+    0xb0a1f6c7, 0x3a71d16c, 0x23264513, 0xa95be0e8, 0x3fc1f29c, 0x22170ebe, 0x9be964a4, 0xca686596,
+    0xef657fd2, 0x6ea4c4f7, 0x025bf176, 0xd77e93d2, 0x5ed4a364, 0xeb658197, 0x14f69d1d, 0x71804286,
+    0x25d6502b, 0x69247b39, 0xc83a7590, 0x2703fd90, 0x81498bcc, 0xda1f0663, 0xae94fd59, 0x4057bc91,
+    0x7920c71a, 0x10a62566, 0x38040907, 0xb143653b, 0xf8af9edf, 0xca49849e, 0x8692e3d8, 0x14efc9f2,
+    0x27cabdc2, 0x1ed770f4, 0x40e2fbb8, 0x471b0501, 0xc27f86a6, 0x488cdad0, 0xb8acf647, 0x623d7d59,
+    0x321f1d44, 0x1a86eb68, 0xec4fdaa7, 0xd0016508, 0x968edbae, 0x4705bfa8, 0x3e453651, 0x9ee2f1aa,
+    0x8708c73e, 0x07e9b0e1, 0x88bf9406, 0x4de7655c, 0x9fb66a2d, 0x9fd24fdf, 0xf2102170, 0x503a6ff5,
+    0x5e5a5fee, 0x278d240f, 0x7e74ad32, 0x08cda377, 0x2d51a153, 0x3e5df3f8, 0x637d3a9a, 0x7e496f16,
+    0xbeaa481b, 0xdab98b1f, 0x109a4c1d, 0x2a34a448, 0x6fdb39da, 0x273eb109, 0x72636acd, 0xa2c9a424,
+    0x1ca75067, 0xb0a2d632, 0x71607530, 0x71a3318e, 0x1ae5875b, 0x7d9e5673, 0xac3ad7e9, 0x81ac6a6a,
+    0xde0dc529, 0xac60348a, 0x40480d7e, 0x66d76ca4, 0xd8f34d69, 0x5ba7ebba, 0x45a73604, 0x5771b02a,
+    0x1802da5a, 0xf40b5edc, 0x4f1de0a2, 0xc159fc04, 0xd1cfd1f5, 0x7439b51e, 0xbf30815e, 0x1f0587eb,
+    0xf0188fd4, 0xb5789ac6, 0xa12228ea, 0x40949fa3, 0xe01ff50e, 0x575563fe, 0x698205d9, 0xc3f8b7c2,
+    0x16a6d458, 0x4d05f9a8, 0xc7b56088, 0xdbf95314, 0x07168b35, 0xd3155200, 0x2c02e2bf, 0xdc308d97,
+    0x7ea0a432, 0xc2f8337a, 0x447c4bc2, 0x8026134a, 0x5d07a7b9, 0xdb0023a4, 0x64673b44, 0x91676494,
+    0xc17a54b0, 0x2f905771, 0xe032bf66, 0xbb60f1a9, 0x2a34bc86, 0xb35efb0e, 0xde21b01d, 0xade81730,
+    0x6d2cfddf, 0x23cc488b, 0x04ed5293, 0xf957a617, 0xf1eb5872, 0xf369bf34, 0xe4749b37, 0x6223c600,
+    0xb7a4f8d0, 0xb51d7196, 0x02e29d27, 0x211846a1, 0x355c2fe4, 0x185802c3, 0x0353b1f0, 0x938eeb26,
+    0xd54e4d79, 0xbe98210e, 0x96ecf0a0, 0x41248d2c, 0x79f3ae83, 0xcd2f5dcb, 0x37ea02af, 0x6d500462,
+    0x71fff71b, 0xf352e9fc, 0x6dc1c61e, 0xdd29827b, 0x078e5d74, 0xb996e0dd, 0x6bc51028, 0xef908c82,
+    0x14cf7b20, 0xc0bca770, 0x9710f01d, 0x86ab4257, 0x9607aeaa, 0x78c40d5a, 0xcd84c88d, 0x90eae2ce,
+    0x9e666c2c, 0x5879403e, 0xe8d34fce, 0xf8d96c69, 0xcf393a6a, 0x6a033ae9, 0xbc647270, 0xb960125f,
+    0x6dff8a43, 0x8a10683f, 0x30323246, 0x3553a1b2, 0xac740110, 0xb8dcf2cc, 0x0136f8e7, 0x9179f695,
+    0xc9f2d375, 0x63df5afb, 0xb8544bd0, 0xf08d50d9, 0xad4fb549, 0xd381fc9d, 0x9ec5ea49, 0x52a015ff,
+    0x9b761343, 0x845b08c0, 0x2abb7552, 0x8d1f6ad9, 0xc088d3d9, 0x153ec2c7, 0x72a79740, 0x1d77cbec,
+    0xf3574eae, 0x99231e26, 0x1ba2a845, 0x449fc283, 0xfdf91537, 0x0fda25ec, 0x4fde61b2, 0x7a7079d9,
+    0x2ef98a8e, 0x4f3ac762, 0x5b8ae854, 0xff068d58, 0x2b1907d6, 0xf9c845ea, 0x0b78c510, 0x947ad3b8,
+    0x1c34d169, 0xc387bbd2, 0xb2a4d850, 0x072f248b, 0x5c1571f2, 0x5742dc24, 0x58494152, 0x9841587a,
+    0xf2a6f5c0, 0xede55cdb, 0x5b2a3153, 0xd6cc1704, 0xbb6e0a37, 0xaddaf921, 0xa845ef3c, 0x27150c12,
+    0xa280a0b0, 0x48882799, 0xe4c1c435, 0x64637c1c, 0xfca81049, 0x3300b07f, 0xbc55f01b, 0x271c800f,
+    0x8221b43c, 0x07c2fd58, 0x7b3590eb, 0x19460a3b, 0x1d8bfc6f, 0xa61618bf, 0x3ff921a9, 0x30518c76,
+    0x846e2979, 0x41b98c9e, 0xbaaccd44, 0x0a94d01f, 0xa327d4b6, 0xe18351ab, 0xf9b30112, 0x9036a5dc,
+    0xadea9837, 0x553ae3aa, 0xb4812fa1, 0x0a7c9d2d, 0x036ecdd8, 0x8563c3f2, 0x45ebde8b, 0x20c1d85a,
+    0x84628a5a, 0x66356c10, 0x1931fc61, 0xfa9b9a35, 0x447db441, 0x71b367ae, 0xd94b56ff, 0x9e77fd5d,
+    0xfd2538f6, 0xc4fd1449, 0x5d028bf4, 0xea4cdea2, 0x28cec711, 0x23c6035d, 0xf5364d36, 0xd1119aef,
+    0x19c151dd, 0xca0a74d1, 0x664f94ad, 0x6725c671, 0x168c975e, 0x8624c2bc, 0xfeac9a41, 0xf712c22a,
+    0x179932c5, 0x5b128c47, 0xeb1cab51, 0xab224da4, 0x2b13561a, 0x365fa87c, 0x6e7472cd, 0x7c8412ac,
+    0x45140ac6, 0xda7c6dde, 0xb4fcd38a, 0x5ca22f6f, 0xae0ad4d5, 0xe9524109, 0x73946007, 0x4c4899eb,
+    0x5410687b, 0x5c83635c, 0x9860d507, 0x2c215dcf, 0x6a206de4, 0xadaebfa8, 0x1645aaca, 0x9a4170b9,
+    0x66cdcb83, 0x96079c20, 0x414418f0, 0x39926038, 0x444491fc, 0x6cab508a, 0x725e8bcd, 0xb5571ae8,
+    0xf507c6d0, 0x6138e699, 0xb2a91102, 0xeff550c9, 0xc823febf, 0xd29f2cfa, 0xeefd7c88, 0x17c694e4,
+    0x596ab5e9, 0x979b48ca, 0xc19653fe, 0x701bccea, 0xf089f361, 0x280c0a4b, 0x03e5dd75, 0x2c81d71a,
+    0x6ea4776f, 0xd8e4543a, 0xe71257a1, 0x078ec417, 0xf88d8738, 0x5fc0ef4c, 0x03b9bb24, 0xc6321b8c,
+    0xd9ec0ad0, 0x4d009a9b, 0x84895b9a, 0x2a66afe0, 0xd5e0f04e, 0xcf27e136, 0xef926e11, 0xe7070ef8,
+    0x529ee926, 0xdc4424a9, 0x37957e61, 0x282e97f2, 0xd95dd48f, 0x41f5fcc3, 0xdede6bba, 0xe90b1117,
+    0xcac47ed2, 0x23067bcb, 0xad7a6955, 0xebb943f7, 0x51506b44, 0xe1b7510c, 0x9d319bec, 0xbaedf2a4,
+    0xf85a36b2, 0x4560db56, 0x32a6ed8c, 0x563c7c76, 0x6cb37f19, 0x9979283b, 0xf66c25bf, 0x5f3c172e,
+    0x4ca8f08c, 0x83a16803, 0x037de4a8, 0xd12ca9be, 0x547069e9, 0x544bbfbb, 0x994cd157, 0xe0dfad74,
+    0x13b9ab38, 0xc8ce1452, 0xed0cb95c, 0x5bc1cd04, 0xbe05a968, 0xb774beb6, 0xd6d4a2e5, 0xd1c41b32,
+    0x8c120020, 0x9210bd25, 0x0a33a440, 0x3ff94ea1, 0x25f87da7, 0xd8c97e50, 0x2ec4fa29, 0xbd650c34,
+    0xf3bd6db3, 0xa121ab20, 0xc8116f92, 0xf750ca7e, 0xc4d6c429, 0xdd7502c9, 0x0649c4df, 0x3769a98d,
+    0xbe08eae8, 0x4c9b3374, 0x1944f5b4, 0x974d760f, 0x66d69f3a, 0xc5a2cfca, 0x9b8b0bf2, 0x58abf0ad,
+    0x4f73b45e, 0x4c9f0c2c, 0x1bad6a82, 0x1ae722cc, 0xd1b1c995, 0xd02a4025, 0x4ffbab78, 0x173153c9,
+    0xf2bdd50d, 0x9c8c2dae, 0x038cfbff, 0xf38a1cb4, 0x67176171, 0x2d1b9e82, 0x8588335b, 0x4b2ae288,
+    0x76d011c4, 0x61de5e09, 0x1f9a942d, 0x4a6726d9, 0x817a518a, 0x6c942b99, 0x7e5d5323, 0x6138b32f,
+    0x343f2ae6, 0xf792449a, 0x5e97cf84, 0xe9394249, 0x29b75e1a, 0x61a11997, 0xa1889085, 0xdb7648cc,
+    0xc488a646, 0xbb280956, 0xb38c3a56, 0x396db0f7, 0x5dfd55cd, 0x9801258b, 0x14954fd8, 0xeae681e5,
+    0xc6c2060d, 0xe957486c, 0x173bb678, 0x86c2892c, 0xe40245cd, 0xb6e03c76, 0x25453d3b, 0x5bf68669,
+    0x93a0acdc, 0xf73869b9, 0x6c90d029, 0x5238f247, 0xbc1b8840, 0x307c65ee, 0x150f907c, 0xc5c81b06,
+    0x314e3dcf, 0xe8db018d, 0xa1bb8423, 0x55f0d79d, 0xab74388b, 0x0045ef57, 0xb9d1ab8f, 0x506f5739,
+    0xcfcfd30c, 0xa1a87552, 0xcf986646, 0x549509da, 0xaec812e9, 0xdc879c81, 0x0d6294f1, 0x51e22c77,
+    0x0cbdf71d, 0x88cf7ac5, 0xa07b3d7c, 0x403ba0ac, 0xb34993e5, 0xef397686, 0x49aa3ccd, 0xbd3420f3,
+    0xa3ac5465, 0x0b741a3e, 0xdf67b9c7, 0xf1ead502, 0x0f68804b, 0xdbd40dea, 0x12e957f6, 0xae1db6d7,
+    0x89a4bc21, 0x774f07f8, 0xa9cfdcef, 0xcaad82b7, 0xdd5f4d9a, 0x364a40e1, 0x82c63303, 0xe8d0284f,
+    0xc8f3e737, 0x5c57f020, 0xa5c9115e, 0x54ef8b44, 0xa000e341, 0x2b5497bb, 0xb3bc5ba6, 0x0782d95d,
+    0x1930ecd1, 0xe9ea9055, 0xc3b46e80, 0xe428c84e, 0x732343cb, 0xf14d05f6, 0x9e78e918, 0xb00211bb,
+    0xc7da077d, 0x3713e647, 0xcc76e5b4, 0x0a164a2c, 0x50942dff, 0x96b7ac7e, 0x95beb1d9, 0xb0b66c8a,
+    0x010b990a, 0x64d9a095, 0x68bec285, 0x7d4b2bf4, 0x37a5f1bd, 0x5acb32ac, 0xd25a0667, 0xb7b2aff7,
+    0x696721e3, 0x69382e3f, 0x75c8318b, 0xaa1935e9, 0x51266dea, 0xbbf2a775, 0xbfbc65d0, 0x39e660e3,
+    0x78ac78fa, 0x7bc56804, 0xce4c96f0, 0xa0a69334, 0x87cc7def, 0xbbe1e381, 0x2ddbff4f, 0x1268d271,
+    0x1bddc935, 0x15e10379, 0x567ab0f2, 0xad792fd5, 0xfd144365, 0x4110dd94, 0x280fdb26, 0x0e803756,
+    0x6cd4d911, 0xe2cfa146, 0x6e1d334f, 0x6a736077, 0x7d55a7d5, 0x859f97c9, 0x6adc0778, 0xb14d5207,
+    0x91b6a74e, 0xbf01ecf3, 0x9c10e289, 0xf55da932, 0xf91727b2, 0xab4846fb, 0xb311c8e4, 0x75d96beb,
+    0x05c86333, 0x498b49b0, 0x42effb5a, 0x3cfc037b, 0x250cf274, 0x42b34389, 0xe8fce368, 0x238f034a,
+    0x399b1dc4, 0xf33deb5b, 0xd6fe95a0, 0xd3e571b5, 0x84a3c093, 0xc411df1d, 0x6cd30182, 0xd621611d,
+    0x56339e68, 0x7365d9d5, 0x7decd54e, 0xd8f0273e, 0xb64a85c1, 0x42659eed, 0xe87317fc, 0xbfa60533,
+    0x6a3517cf, 0x5aa66a67, 0x2ace69e2, 0x51ca38e1, 0xb43529e7, 0x0a838680, 0x2b9ed488, 0xac5f6d4c,
+    0x352e4657, 0x9664fc06, 0x7ad847cf, 0xaaaeecc2, 0x54ca6f5b, 0x7fcd462e, 0x70e6173d, 0x89a175d9,
+    0x6c2e3049, 0xa2db41e6, 0xa30fe214, 0xf1efe98c, 0x5624e909, 0xb076ea15, 0x114c1523, 0xc46f0c76,
+    0xfab5f91f, 0x662a79af, 0xab5429be, 0xaa91b0f8, 0x1e16f646, 0xd9f6c5ed, 0xeea107d2, 0x18395e49,
+    0x38509839, 0x1b11012c, 0x2136d16a, 0xfab99f30, 0xb77b27b4, 0x0a4de288, 0x93bab214, 0x363daa10,
+    0xc77786f9, 0xc30b6aa9, 0x58abf9fe, 0x58feeaf3, 0x1f2f55c4, 0xbeb94923, 0xa0cb4de1, 0xcdceb819,
+    0xc76cbd1b, 0xd424923a, 0xa090d48b, 0xe7edea40, 0xe21d2cf6, 0x5bf2f1be, 0xbdd3130c, 0x922c8406,
+    0xb68c31c9, 0x7d165ec6, 0x77ce2329, 0x0550dbdf, 0x9e157c15, 0xe5f11f34, 0x64345ee3, 0x73a77d36,
+    0x0b5d7efd, 0xa0f1c431, 0x4ceda0ee, 0xa2fcf3d5, 0xaab9ee2b, 0x2f9f0dfa, 0xe515e34f, 0xa589672f,
+    0x694f4e21, 0x32fb2ed7, 0xbefe531a, 0xc0cb4f82, 0x003c7feb, 0xe5932dd3, 0x65766f45, 0x147afc2b,
+    0x0758c970, 0x596af05a, 0xffa6e2f0, 0x463bee48, 0xf2dbcd09, 0xc3100b8b, 0x76cb4ad3, 0x6db21e51,
+    0xb9f3952d, 0x3b54f375, 0xa393fd67, 0x5755c7a0, 0x903e0096, 0x68536410, 0xf40e4bcd, 0x9e36b098,
+    0xf351178f, 0xd5ad2da5, 0x434e0653, 0xded449c5, 0x04f37bc7, 0xcb401207, 0xe85b889a, 0x2045b1cf,
+    0x8aafdccc, 0x3668105f, 0x4549b153, 0xefa34365, 0x0615e547, 0x139b71a6, 0x270618ee, 0xf31ff134,
+    0x189c23b5, 0x48e98b8c, 0x0660b48e, 0x37126d20, 0xc4e55bba, 0x2e962cfd, 0x3c67fd65, 0x8a2e0781,
+    0x4152594b, 0xd932b1dc, 0x2456470e, 0x493bc364, 0xd73514d7, 0x96b15c90, 0x39fc0756, 0x77cbd851,
+    0x918b315b, 0x30bd4a9a, 0xe77d416b, 0xa6b7d522, 0x42c6f9e0, 0xfc73d80e, 0x3ca05977, 0x7eb6a30e,
+    0xba9181e0, 0x3ce3ad8b, 0x49df26b6, 0x7ddd40a6, 0x3ea8e07e, 0x720fda19, 0x3c7799d4, 0x8d5d43f2,
+    0x05036fa2, 0x966a30da, 0xdd5eae60, 0xe841ca54, 0x313d48f7, 0xf13bb540, 0x3379c8ca, 0x6c903c30,
+    0xeed89c04, 0xb9f8b3ee, 0xa5f538c7, 0x6076997a, 0x602f6dcb, 0x9a30ce2c, 0x5eb1a5ca, 0xd75f423a,
+    0x5a58d754, 0x8dea7cf2, 0x99f2c9ab, 0x3d3c36f3, 0xb78e49c6, 0x25f68107, 0x040a4ce5, 0x3c0f697a,
+    0xca669257, 0x00d1bd88, 0x469242a1, 0x36814c34, 0x3aa25949, 0xa7e46173, 0xa362c931, 0x7d955f2c,
+    0xda17ddc9, 0xa5993f28, 0xb6b59fbd, 0x49202c94, 0x8e6cadca, 0xbef121c1, 0x41255983, 0x32a0060a,
+    0x3f56a9ba, 0x7ea00901, 0x91e03d49, 0x37664ab4, 0x450535d8, 0x51c06d13, 0x2e4c31cf, 0x77b1833f,
+    0x912100eb, 0xf6675799, 0x58457dcd, 0x70d63f8f, 0xbe95a2d9, 0xb3478cae, 0x239d9147, 0x7a418915,
+    0xf77e7ca8, 0xb329607d, 0x45932da9, 0x12541e52, 0xcc5a3f14, 0x73dff892, 0xfc45b3fa, 0xb5b83750,
+    0xd0feed6b, 0x661357bf, 0x882850ca, 0xcd3c4d44, 0xa52d67da, 0x71ba1906, 0x3016b3ae, 0x51c3f502,
+    0x0a657533, 0xa0655836, 0x5be0cdfa, 0xf998aa66, 0xa8f55748, 0xfc816593, 0x7fd46758, 0x19b8624c,
+    0x0e81d4aa, 0x64deb87c, 0x7ff0c477, 0x4f5c6f20, 0x1fbe3904, 0xb3f3ed41, 0xbf1060ba, 0x7851627a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000696898287454081973172991196020261297061888 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b25, 0x024b3268,
+    0x00000000,
+    0x9604f9b5, 0x9617ba0d, 0x8e7df1a2, 0xb60430fd, 0xe0ca7170, 0x3c969751, 0x3434ca60, 0x4c6ab6d5,
+    0x425ebb21, 0x4cffd4e5, 0x293f4c7d, 0xb40dd97f, 0xe20322a0, 0x9425a103, 0x057f9efb, 0x8d2fd18f,
+    0xd93ca759, 0xc0c30042, 0x62434d62, 0x91f61f1e, 0x57c18a91, 0xa55d5926, 0x1f7e5e9d, 0xcd3bd3e5,
+    0x65f4276b, 0x85436414, 0x730cf710, 0xb2be1d92, 0xe8fd6035, 0x8bd241a3, 0x7d3b8a39, 0x049cd982,
+    0x06f412c0, 0xe796cdeb, 0x5903657d, 0xe1aaa201, 0x50b294f2, 0x53178ac3, 0x649aeb4c, 0xb462222e,
+    0xe8ca42b8, 0xf70e9af5, 0xb854398a, 0x0f530b12, 0x3f94fed1, 0x43730888, 0x5ce2542a, 0xcfba5e8c,
+    0xfcfff9bf, 0x15ac2023, 0x5af1f858, 0x031a515e, 0x4a7e007e, 0x9f0f17dd, 0x1f7532cf, 0x24b457f2,
+    0x190937dc, 0xdd00e980, 0x293da411, 0xae026680, 0xe3f26216, 0x68236715, 0xacbbc72e, 0x682197a7,
+    0x43ae5330, 0x83734f29, 0x68dc474b, 0xf128e6c4, 0x975f4dda, 0x65df7773, 0xa070f451, 0xb44123f2,
+    0xb7959f0b, 0x9d34a364, 0xf55a81ee, 0x339fc206, 0x9aac434b, 0xcd17379f, 0x5d8f8f63, 0xab8c1b0f,
+    0xbe03d39f, 0xe241fbe4, 0x7d147ecc, 0x11b04cbc, 0x691304ef, 0x8a5c3991, 0x8c0f21bf, 0x24134c3b,
+    0x102fc32d, 0xe2961ad0, 0x7d43ab2a, 0x00267bcf, 0xebb9486b, 0xe3e0bb74, 0x074881e4, 0xc79f6d5b,
+    0xb198f08e, 0x153b7e4d, 0x2873b605, 0x3c373ce6, 0x5206ed7b, 0x845f2671, 0x4e0b4628, 0xe074b364,
+    0x090217e2, 0xdafa5dd2, 0x0a8950c5, 0xad94006a, 0x66ec1090, 0x492587be, 0xc90b0a8e, 0x7e0e3ca2,
+    0x20d4793b, 0x7a76ee6f, 0x486764aa, 0x3e252707, 0x2724fb97, 0x7dc7eda0, 0xaaaee6e2, 0xd6baf1c7,
+    0x52e0caf1, 0x4168415b, 0xdf54272c, 0xb6115a09, 0xb28d31b8, 0x67354f6a, 0xaade6b72, 0xc6cc8ef5,
+    0x63b9ac6f, 0xc4e08a70, 0x72835c00, 0x66f4523f, 0xca0a26ae, 0xa8a471f0, 0xc7eac418, 0xe1ea8e64,
+    0x9e82bf86, 0xab7acaf0, 0xfe2bf934, 0x29f5a34c, 0xe9b40b10, 0x272ef07a, 0x1ec046ec, 0x606c3533,
+    0x4a7afdf6, 0xb15534b7, 0xcf5998b2, 0x6e10e870, 0xb71447e5, 0x5fd417d5, 0x1ff5de72, 0x0c433ddc,
+    0x52ea446e, 0xc17a5591, 0xf56147cb, 0x04e9220b, 0xeb99d02f, 0x739ce8fe, 0x50d21664, 0x92a1c530,
+    0x76f86b95, 0xe4a9fe95, 0xc4f67f24, 0x592c1c24, 0x7a18682f, 0xeda52b24, 0x5acdd1e2, 0x26359df9,
+    0x105ffa63, 0x9f278b97, 0x8395e9d4, 0x52ccf500, 0x7b1ecbff, 0xa11edb7e, 0x58cdd52c, 0x5cb4c495,
+    0xa626f595, 0x156c9e3f, 0xc85edff1, 0xb420e967, 0x5422201d, 0x0327cfd4, 0x43e68dcb, 0xf266ab79,
+    0xd45afd17, 0x443f639d, 0xc92d809c, 0x159eef24, 0x9548247c, 0x9a9c1ac9, 0x763f7d88, 0x8960fe5e,
+    0x681a6aeb, 0x55cd89e5, 0xe07c1352, 0x9d7e68da, 0x9bd5695f, 0x45d3c346, 0x5de8f8c9, 0xc03cbad7,
+    0xd119f0d4, 0x8b6b5a47, 0x0fd5658a, 0x7ea780dc, 0x6652b4a1, 0xe975e8c2, 0x6baac320, 0xa102392b,
+    0x2745e120, 0xecb735a7, 0xbb8e332f, 0xb5f77f82, 0xf26dbdc1, 0x01abb008, 0x63e70753, 0x7bcfeabd,
+    0x49b60e24, 0x01e2b081, 0x68342048, 0xd4db20e6, 0xa2d4f929, 0xe6832190, 0x0a81b2c5, 0x221ffc52,
+    0x891d8762, 0x9c3a3e62, 0xe8e85a3a, 0x331deb1a, 0x609fdc39, 0x90521482, 0x4b2f242f, 0xe77b62e4,
+    0x8b0dd2b0, 0x1dfde754, 0x510ae8ef, 0xeb114236, 0x93d34552, 0xc42a0c53, 0x62bf0784, 0xaa935f11,
+    0xd3a6d655, 0xfc578a53, 0x98ca5ec2, 0x61808c46, 0x69bf79fd, 0xccc8c793, 0xe675982b, 0xf293e76e,
+    0xf7fa3ffb, 0x9872751e, 0xac032c7d, 0xb35579ee, 0x75626d94, 0x26540449, 0x92645381, 0xeed78f86,
+    0xa722580b, 0x648255ca, 0x6acee6c5, 0x668e1bf1, 0xef8692a3, 0x4a0d4d06, 0xca0aaffe, 0x169d57ab,
+    0x9e3401b4, 0xcf206d0f, 0x07c39290, 0xb3c2e447, 0xe4922236, 0x6ada3139, 0x3ba1c9c3, 0xe4be2ad2,
+    0x717887cf, 0x01895803, 0x81f59e8a, 0xf1e1ecf7, 0x099b73d2, 0xf5b23ce9, 0x0fb27c13, 0xd1067594,
+    0x49119a3e, 0x84bcec89, 0x3fdad46d, 0xe256fba8, 0x4304becf, 0xad606a55, 0xa345a845, 0x893dbd02,
+    0x758d3106, 0x18c8db3a, 0x26c7024c, 0xbbf1ea17, 0x7b5abbf4, 0xce485021, 0x1301ad2d, 0xaebdc3fe,
+    0x64893d6e, 0x905f7344, 0x1f60dac9, 0xeeda04bd, 0x161322b5, 0x08a2a5db, 0xb31fbb87, 0x062cd827,
+    0x011e0f56, 0x911ff898, 0x24d678b4, 0xda10d0f7, 0xacb3b8dc, 0xa243c33d, 0xebddb14e, 0xb0c7da51,
+    0x0449ee25, 0x5c55f45b, 0x2fc9fb5a, 0xffe02f3f, 0x78d52c6f, 0xd99ce87c, 0x6df463db, 0x4ef9df33,
+    0x4bbebe70, 0x82cc495d, 0x1efd29fd, 0x941ffc8b, 0x298b8bee, 0x527cd6f7, 0x9d3fc472, 0x08ab73a4,
+    0xc1379618, 0xe151965d, 0x2751e182, 0x5cd114d7, 0x5573ce1c, 0xf233a709, 0xe17005e9, 0x5524e783,
+    0x1a1ee286, 0x451b7714, 0xd85b731d, 0x20ebf999, 0x3aca4cef, 0xd2ef8cd0, 0x20907aba, 0xa5303d27,
+    0x3a3c3d44, 0x23cb111c, 0x5b9a60f5, 0xaf80e949, 0x6f908d37, 0x3dad31a6, 0x447bd135, 0xf4b3cc15,
+    0x4187d8fa, 0xe6c0def0, 0xaa3070ce, 0x1773781d, 0x28b1d74b, 0xc0429b11, 0x403ce348, 0x22146bda,
+    0x640b9d43, 0x999c1359, 0x59012242, 0xa0415f61, 0x1be9c45f, 0x1fdcbebd, 0x45bc5bac, 0x45081a68,
+    0xa8483355, 0x62d6a679, 0xc565adc2, 0xbedafad3, 0xfe9267cd, 0x3d67a907, 0x52200e64, 0x4a4491b7,
+    0x05c49822, 0xd478a8d6, 0x65284df7, 0xefb86523, 0x0784e62f, 0x7e19c08a, 0xc3897c6a, 0xc3919878,
+    0x82bd4af7, 0xc371e08e, 0x95d17abd, 0x0e019112, 0xa367b115, 0x68816130, 0x048eccf3, 0xb7d46aae,
+    0x14e44b9b, 0x052dfd58, 0xd204527c, 0x93a44457, 0x01ef1aa2, 0x91168a51, 0x9d1242d2, 0xd23ba38c,
+    0xce6a58a7, 0xe2576869, 0x837ff230, 0xff60645f, 0xc8db1508, 0xfe41fc75, 0xe94c5550, 0x2972ff46,
+    0x57044d12, 0x01f755eb, 0x93a566f5, 0x05db3600, 0x050760e7, 0x84bbe1df, 0x3cd0f4a9, 0x85705ef5,
+    0x3d574f3c, 0x3d142da0, 0xf8b7f06e, 0x8244badf, 0x230113fb, 0x3e56330d, 0x95e6dc58, 0x6fff3507,
+    0x50e88e14, 0x78eb7768, 0xd36e7c4f, 0x42d30303, 0x6e046222, 0x65a31b27, 0xd203d520, 0x1d5f16f4,
+    0x7f790c3d, 0x04333db5, 0x28e83bf7, 0x14f933bc, 0xf1d0a522, 0xe9771b8e, 0x7d991ed4, 0x3770ebcf,
+    0xafcc4c42, 0x545d48a4, 0x5b8fd604, 0x7128be13, 0xb73f228d, 0x928839cc, 0x083312f1, 0xe2976d9f,
+    0x63247455, 0x2e1ca711, 0x71d117dd, 0x9790a0e0, 0xea99d6f1, 0xa074b21e, 0x5322a862, 0x85b32ce6,
+    0x14d68235, 0xdaa377d1, 0xf6c28b42, 0xd9dd32cb, 0xaed73a90, 0xf97d3010, 0x651c16b5, 0x4d9eb3b3,
+    0x0d171cc2, 0xe3a025ed, 0x92d4d34a, 0xb8c8f5a4, 0x13826e10, 0x85ccb990, 0xb586f114, 0xf7521dc1,
+    0xfb18a6f8, 0xa5df6d26, 0xc2463a05, 0x0bb98b00, 0x14a6ab2d, 0xcf9edd44, 0x6200989f, 0xb22084d5,
+    0x4dcc72c2, 0x226f1679, 0x4ddf340c, 0x607c2bb3, 0x13f1e166, 0xc9e996ad, 0x24bd5430, 0xab41a5f0,
+    0x6c5d27d8, 0x778e54c6, 0x433e023e, 0xbf458b1a, 0xabd9685c, 0x5e61578f, 0x31eb21df, 0x0a15d548,
+    0x789ad524, 0x60d2f57a, 0x48c6d13b, 0x3c872696, 0x2818c448, 0xb5408be1, 0xa171f65d, 0xe5db9e80,
+    0x1a723b35, 0xfc853850, 0xac1becdc, 0x24342663, 0x696db49a, 0x1a93b573, 0x1a75aae9, 0xcdb6a725,
+    0xafb3e55a, 0x7d9b2a71, 0x85e6188a, 0x7c261170, 0xd68be0d9, 0x646c59b1, 0x21632284, 0x64796a73,
+    0x9aa0ebea, 0x7065dd0d, 0x565ca47e, 0x7c87f00e, 0x1c0b179f, 0xde3a627d, 0xe7a5ae17, 0x1d7e0b5a,
+    0x2ff3e21e, 0x6f5e3d5d, 0x190bdff2, 0xb54802da, 0xe37fbdef, 0xfbdb22f0, 0xfa468df8, 0x167cdc52,
+    0xcd14663b, 0xaac6835a, 0xb3c3cb1c, 0xae92080c, 0x32bfc2d8, 0x0abf0e3b, 0xd5851403, 0x0f20bd4b,
+    0x95a9c7d2, 0xc052459b, 0x61bf21ee, 0x6a3ab359, 0xd5c29d00, 0x5469c1b8, 0x91e2393e, 0xcc0f39fe,
+    0xbd54122c, 0x1c4ea947, 0xe836f267, 0x40cf6ba2, 0xb6e7c6eb, 0x24f5fd67, 0x519598dc, 0x1712ec5b,
+    0x9f20a91b, 0x8a935a6b, 0x09c67d03, 0x52f74a8c, 0x6ae44838, 0x7cffffb9, 0x9bbc18f4, 0x1827aed3,
+    0x1a07a9d6, 0x29042fc1, 0x814538a9, 0x38c92e57, 0x3bac5c45, 0x948d632b, 0x9773b6e8, 0x713d5065,
+    0x2051fe5f, 0xa5455a3e, 0x93b5d659, 0x83ed085e, 0x2cc7e838, 0xc1b394fb, 0x7c9d145b, 0xcaf729b0,
+    0xf1000fdb, 0x1d1c1f7d, 0xf093bfc2, 0x7a5eb02f, 0xbb0fcd6f, 0xe4bbb919, 0x8e7f6a4f, 0x4724a2d8,
+    0x0700e11e, 0xb27c8885, 0x7d8d671a, 0x304f9ed0, 0x302d8f2f, 0x022119ca, 0xb0c34faf, 0xf05f64cb,
+    0xc05bf2fa, 0x34386b8c, 0x4e721b52, 0x608d86b7, 0x04cda95e, 0x44e60326, 0x45ce3759, 0x76ed1e09,
+    0x1344d7f4, 0x3720a71a, 0x007f314c, 0xd3495e33, 0x316d5464, 0x66e5ea4e, 0xf1d71d49, 0x21deb428,
+    0xdeb2b39e, 0x4225f8c6, 0xccaa3ab8, 0x47c1eb4a, 0xbeaf4a70, 0x0af1ab78, 0xbfe56b4e, 0xa18885c2,
+    0x6044026c, 0x7bdd0555, 0xb6e0f02a, 0xcd8ab57f, 0x3dd655fd, 0x17127b35, 0xc441f601, 0xf4084eca,
+    0x27f8454f, 0xa7631b15, 0xf764cd93, 0x417c8aca, 0x8e53df35, 0xf144f1d1, 0x67ad88e9, 0x7481d464,
+    0x85e6d248, 0x833a7ea8, 0xe6368d1e, 0x8d714dfb, 0xbb1992ca, 0x68a56435, 0x24197446, 0x6054967a,
+    0xa901743c, 0xac903f37, 0xf4b1c544, 0x5c95ff54, 0x4452c19b, 0x7bb2274f, 0x66587ab3, 0x651b41be,
+    0x0b175bce, 0x8af19ffc, 0x78253683, 0x16875158, 0x8d98cbfd, 0x83947a2a, 0x9df7d4d9, 0xd83ecb75,
+    0x4793824e, 0x65fad5ad, 0xad808a08, 0x6a27eedf, 0x6507d3fe, 0x135dc9fb, 0xf1184ea2, 0x06c72f32,
+    0x4a60a8ad, 0xed2d15ac, 0x8e8dd7bc, 0x268543ff, 0xe448123c, 0x4f374c72, 0x40f779bd, 0xd8cf9695,
+    0xdfbf104c, 0xc60cdc8b, 0x7c556127, 0x10450efe, 0xbd1fb7ac, 0x49dec3cf, 0x29f663c1, 0x2e4d3bf3,
+    0x5dec1a1c, 0x492b35f3, 0x0916cd5d, 0xed5e2495, 0x5961ac8f, 0x11b46529, 0x53173530, 0xb72353f7,
+    0x9ed5454e, 0xc0c411b2, 0x1801ae31, 0x4164d360, 0xdeca3243, 0xff861ff6, 0x4e677338, 0xd76f4573,
+    0x3ae3c2c9, 0x1c79a8a7, 0xd651bc8d, 0x8f04255b, 0x92c30820, 0x46b7a33b, 0x43be75f6, 0x3aed1223,
+    0xba3dfe05, 0xf33eebca, 0x42d4cbd1, 0x112cfe53, 0x955cf539, 0x1740e405, 0xaba65e89, 0xec80fdfb,
+    0x9a2bb7c0, 0xa4e1e5b3, 0x45128df3, 0x6f26dd30, 0xaccce9fe, 0x6deecb64, 0x20fb3102, 0x5d525c6f,
+    0x8f54ee83, 0x5b997b18, 0x091c8c07, 0x830d90c2, 0x340488c9, 0x11d044c9, 0xbfd17107, 0x5a9745b8,
+    0xab3447ed, 0xbdeb1224, 0x8f697fea, 0x66d69408, 0x9fe727e2, 0xd2106666, 0x33e46623, 0xe1ec75b5,
+    0xce6ab18d, 0xc3c4e357, 0x4cc0cad0, 0xddb82203, 0x4ce08ded, 0x5217fd55, 0xa9777577, 0x8e42d5ae,
+    0x698de014, 0x92954d0a, 0x7d32dbb2, 0xee6dc3f6, 0xec0856d5, 0xb88cb88e, 0xc68320be, 0xce19d30c,
+    0x52b21a90, 0xa07987ce, 0x5f448b41, 0xfd3e2db3, 0x7777dd4d, 0xf783bdc9, 0x8e0d3838, 0x74c01f68,
+    0xea3a13c3, 0xaac73b0e, 0x4c297d64, 0xf4a3b22b, 0xe6dddffb, 0xf1c9143b, 0xb25a6fe1, 0x8dc34022,
+    0x815b2c97, 0x0d02304f, 0x5520e017, 0x372562f4, 0xaae1d7ab, 0xdfdd0254, 0xc2978f22, 0xa880029c,
+    0x36e913f4, 0xcb2355a9, 0x151db955, 0x84e2a32b, 0x422ddfe1, 0x3ac6d7a1, 0xeb4c0c65, 0x14de84dc,
+    0x503af4b9, 0xf757019b, 0x5e1d410e, 0xcb3ecc23, 0xdff4a898, 0xaf3e487b, 0x77dc6225, 0x5125847a,
+    0x1e193d64, 0xe435a311, 0xbb7369c3, 0x2233b07c, 0xde8ba3c0, 0xbc409312, 0x41cb34dc, 0xfdeeacae,
+    0x4a8b57c0, 0xd43d9f82, 0x3b8f6be9, 0xbd3199c4, 0xd6ac9f80, 0x81ae5a60, 0x259b519e, 0x39f481f1,
+    0x0009ceda, 0xa95b93b3, 0xcdb18a77, 0x061966c3, 0x14f08c5b, 0x3c61e40b, 0x9f9ac2ab, 0x5615b3bb,
+    0x1f0df14d, 0x4b0174bc, 0x038699c9, 0xc3a23ac6, 0xe3febaa3, 0x8397c5cc, 0x62161877, 0xdbe04937,
+    0x63bc9d41, 0x447371cb, 0x02b50cb0, 0x37363191, 0xdf4b2ce7, 0xe97e2e53, 0xb60afb96, 0x6963aab6,
+    0x39ff86a2, 0x25b629a2, 0xfbca10fe, 0x01b95120, 0xd62d4589, 0x20970413, 0x5d498bc8, 0x47adb65a,
+    0x06cc48b6, 0x6cd192a3, 0xe0462392, 0x9b07c66b, 0x16c4dfad, 0x684f5986, 0xac34e701, 0x474aec1b,
+    0x9a845681, 0x101812be, 0x1cbdc7c8, 0xa06e2e28, 0xfe781548, 0x56087a2c, 0x2ded2817, 0xd955ff8e,
+    0xd8aac853, 0xb869dacd, 0xa9a5a0bc, 0x983c70f3, 0xec90240a, 0xd5828bcb, 0x3c53e43b, 0xcf394d57,
+    0x5575136b, 0x231aca27, 0x0c88fd87, 0xa06b9c52, 0x37601c75, 0x7255d0c0, 0xb3a4fbd9, 0xdcf12e06,
+    0x7643a4da, 0x547cb92d, 0x46cfaad7, 0xa56a6324, 0xfffe9478, 0x2bc3ec80, 0x271f3d17, 0x1a5dd62f,
+    0x115c2d42, 0x7c9d71d3, 0x5e42c011, 0x66073134, 0xfecf4b16, 0xa21bd82c, 0x8982f63f, 0x9e6bacac,
+    0xe965f8cc, 0xae50ed21, 0x5116f517, 0x72a61b19, 0x7c22e892, 0x34568cd3, 0xbc3ba87f, 0xb8bf5c9e,
+    0x1d4d2351, 0x60de1ba5, 0xa32a59b2, 0x3088f665, 0x7e8e4353, 0xd34a1479, 0x452019dd, 0xfa95c958,
+    0xd60d55c5, 0x1c08249d, 0xa28c2a27, 0xc55ee08a, 0x618a2353, 0x6cfccffb, 0xd9b66d47, 0x6d7059c0,
+    0x6938a949, 0xfe0a538f, 0xddcc913e, 0xba390318, 0x570edc15, 0x31ea7489, 0x10c021c8, 0x5198491a,
+    0x4cba9857, 0xf617e25d, 0xd699e01f, 0xab86468c, 0x5df24286, 0x780ee1bf, 0x7a6adca7, 0x3e7afc32,
+    0xc519b380, 0xfb901678, 0x4ce721b6, 0x9dec4848, 0x5cf76f7d, 0xa8846ee9, 0xe509585d, 0x5196eab0,
+    0xaaa2e1cb, 0x87696302, 0xd753fe60, 0x53212feb, 0xa3c37598, 0x7ad64d48, 0x4015a906, 0x767933cb,
+    0xc655f2c4, 0x3eb8d3a9, 0x127a94cb, 0xc6149607, 0xe923b69a, 0x40d4cbf2, 0xcf9df264, 0x455f5c04,
+    0x7081d37e, 0x54069de5, 0xbe2fa87a, 0x1d2c59cf, 0x9e4c5961, 0x42443981, 0xbef9d0a5, 0x6cfa437c,
+    0x64dfab95, 0xb59b727d, 0x2f457aa0, 0xeba76691, 0x2126a4f0, 0x3658cbce, 0xb324cbd2, 0xae0d019b,
+    0xc95bd727, 0xd353c3e8, 0x0864fd33, 0x9969738e, 0x0d7f906e, 0x0f94ff5c, 0x579db5dd, 0xbad61cdb,
+    0xe809a5fa, 0xe8b13d51, 0x96b70cf1, 0x463b656b, 0x4651625a, 0xabe126a2, 0x4eeaf2bb, 0x05bf364c,
+    0x38bb86fc, 0xdc895005, 0xf46d6f2d, 0x9a8a0f3a, 0x5bb53e82, 0x30875688, 0x6eda086b, 0x75a340b1,
+    0x0a4049d7, 0x433ea20a, 0x3ac81e69, 0x6fdd002a, 0x7816684a, 0x4bb27811, 0x7efb341a, 0x1bdb2114,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000348449143727040986586495598010130648530944 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480592, 0x81259933,
+    0x00000000,
+    0xc3f8ccbd, 0x3847448a, 0x856d1874, 0x064d0623, 0x2218ad12, 0x9d723239, 0x723c0651, 0x36dd2ea4,
+    0x43f9ba23, 0x91171ba7, 0x5d084b82, 0xdb34425f, 0x801d0c24, 0x12b16496, 0x8d050282, 0x9e8c1d07,
+    0x76feaf43, 0x8037113d, 0x03022164, 0x40040e4a, 0xab6ec92c, 0x0c33f940, 0x58c97ddb, 0x651d2be4,
+    0xc1980319, 0x2c32e7f3, 0x4e79b883, 0xbb1192a9, 0xf9c9eb6c, 0x36e2768e, 0xf3096c25, 0x9fa3e79f,
+    0x53174b2d, 0x7e3bf177, 0xd91a275f, 0x1cffae89, 0x441d84fe, 0x8fcb7ef6, 0xdac20651, 0x7b55bae7,
+    0x0d4b2817, 0x73a3a8a9, 0x8d19437e, 0x8597a41f, 0x478f07ef, 0x7c485fb3, 0xcc392b77, 0x71b0753b,
+    0x893871a0, 0x40762ce3, 0x89710805, 0x0a46e813, 0x79e3a193, 0xcfea3972, 0x82c3f077, 0x786c2d7c,
+    0xa2ffdbfe, 0x2dfa5432, 0xec59562f, 0xf9872a22, 0xa4c021a0, 0x07ea3e9a, 0x02880ff7, 0x785ca294,
+    0x094de5b7, 0xa48dedb1, 0xbf4bebf5, 0xa99a94fa, 0x9aa1b2b4, 0xa49f772d, 0x55c4cc34, 0xcb9cbbef,
+    0x6bf362aa, 0xb6e5b4d4, 0xf81a59bf, 0x408a939b, 0xdd134f06, 0x4bee8794, 0xf5f8cd1a, 0x67e405e4,
+    0x7103af10, 0xb1545e4d, 0xe3a33eeb, 0x3d59df63, 0x9067c91f, 0x84b4dd4a, 0xecff7c6a, 0x1ff6a1e5,
+    0xad0d36bd, 0xcb16f3dd, 0x272c72ed, 0x58032926, 0xe8c162ef, 0x0a22746a, 0x5388a2a7, 0x10121159,
+    0xb815656a, 0x30501fb2, 0xf658f31d, 0x1c893d2c, 0x61fa3efe, 0x5ac98d1b, 0x218ee348, 0x7f366c16,
+    0x08d7dedc, 0x37b38503, 0xea9b7bf8, 0x047c22d2, 0x01af7dd1, 0x973a3dd8, 0xe504c3be, 0xdb80c966,
+    0xa88a9264, 0xcf0228a0, 0x76b68077, 0x70706f39, 0xe89e1a3e, 0xbb7a81ba, 0x680deebf, 0xaec11a6d,
+    0x348009c3, 0x704b794e, 0xb7f82c83, 0x6d2864b0, 0x0e49b772, 0xd2b9400b, 0x7e4e4ab0, 0xa690c7d1,
+    0x1f4a42cc, 0xbeacf717, 0xcd2a6dcb, 0x02407cff, 0x423c6c82, 0x5af44f63, 0x9b59c17f, 0xbf6ecb2c,
+    0x78a82ac7, 0x9b3e5ddd, 0x012d4cbd, 0x31f8f467, 0xf3d6b101, 0x09f10b42, 0x5db53ebe, 0x7da39d2f,
+    0x8b08de32, 0x15947977, 0xfb827349, 0x1806c421, 0x3d128e88, 0x958a96fd, 0x3391101e, 0xe5282f2a,
+    0xa8df903d, 0xb411ba9c, 0x41bd575f, 0x74cae2b0, 0xe057796f, 0x31783946, 0xc0ec527e, 0x64ba8c36,
+    0x5e82a8d5, 0xbd1192de, 0x950d28ef, 0x6e573f9c, 0x5ce3a237, 0x4dccb52b, 0xc9752091, 0xc3022bf7,
+    0x849e3a7c, 0xe47d10c7, 0x75cbff90, 0x5f069c6e, 0xb942b943, 0x968f030a, 0x5705c848, 0xdaeaa111,
+    0x79527f44, 0x62f631f4, 0x67799120, 0x00c2e2fe, 0x87e532b3, 0x0079e803, 0x71a95fa8, 0x8957788f,
+    0xfde3f0df, 0xf72af432, 0x39ab2e00, 0xb9d40226, 0x3409dbc0, 0x5227b5b9, 0x37f8541f, 0xfc56fdd7,
+    0x504c1a6d, 0xf385bea3, 0x6c7198cb, 0x29680893, 0x7a058421, 0x5002bc2e, 0x6cbb51b1, 0xf348bbf2,
+    0x730c6d26, 0x4f0ed0d6, 0x715d711f, 0xd663eab8, 0xe87e1f5b, 0x3aacce82, 0xd24aef11, 0xc65bf82b,
+    0x51f04359, 0x15a66eb0, 0xe80b1c3e, 0xbfd80646, 0xd3334074, 0x3e5ec45e, 0x0c5cd9ae, 0x7de362ca,
+    0x2f5efadc, 0x5b3aa8d2, 0xd515cba4, 0x443e114e, 0x046ecda6, 0x75ad4b2c, 0xd835b60f, 0x50c1118d,
+    0x6e4249b0, 0x766d48a8, 0xc0d742a7, 0xb3ee5b3f, 0x90700b87, 0xc55bd71e, 0x2ce4862d, 0xe2483373,
+    0xd09eaa45, 0xa707c4a4, 0x7ed6e10c, 0x0e806d4a, 0xfe2ca22f, 0x00fa09d0, 0xf9dd4437, 0x9893ac84,
+    0xb8e9e53f, 0xdf4a9fe4, 0x1742e3f6, 0x9c54dc0c, 0xcee02703, 0xfde0722d, 0xe503f944, 0x197e4d1f,
+    0xfd67dc00, 0x9fe88398, 0xe378e6ba, 0xad0e8448, 0xe4355eb9, 0xc336b5eb, 0xa856efa4, 0x92eb7340,
+    0x113e06d3, 0x23f4c62e, 0x0b4fac6e, 0x00657071, 0x9ddf494c, 0xc80bedcf, 0xe2a4006a, 0x3e1cf8ca,
+    0x9e4b6c10, 0xed893368, 0xcd1d1168, 0xf3d9d480, 0x099276fe, 0x800aa3a3, 0x4f0ff44c, 0x1a370cfd,
+    0x14e79925, 0x95765a4a, 0x3774021e, 0x5256076e, 0x69082547, 0xe8b5a37f, 0x49711fd5, 0xb7ba9725,
+    0xf2c4ab86, 0xe4458b99, 0x2e160e7b, 0xd80ac95d, 0x463aa7a1, 0x2f905650, 0x3c83f921, 0x09a03768,
+    0x2ad1fea8, 0xc70dfa89, 0x24f6af18, 0x0a37e9c5, 0x759b3cf3, 0xd280dc7c, 0x16a8e9fa, 0x3dedbc64,
+    0x498ec0a9, 0x2ccbb13e, 0x7f7811f3, 0x3530a886, 0x5ac2e5a5, 0xeb717d27, 0x402d3e90, 0x30d2b3ca,
+    0x7d496a53, 0x75e12e11, 0x8ebe13f5, 0xcf10b09a, 0xdf05286f, 0x310ebcd6, 0x48207a6a, 0xbd682c8f,
+    0x42372e1c, 0xf7726e73, 0x00de8111, 0x0baf2de5, 0x475db085, 0x1d5b9fb9, 0x02114660, 0x2a39b2b7,
+    0x8cd287a4, 0x1d93a4e6, 0xded4add7, 0x3bb32188, 0x7525e7cf, 0x4a01d4df, 0x576c031c, 0x91a01fdc,
+    0xd8d74c16, 0xfbb4236c, 0x8f399396, 0xf94bb6f5, 0xd1e14d3f, 0xacb88e85, 0x23303ea7, 0x85094a39,
+    0x781081bb, 0xc5a2db58, 0x0aa42e65, 0xb6f6b735, 0x08d1dd20, 0xb5550cb8, 0x1d4c7f6f, 0xad2f53e8,
+    0x70001151, 0x860abe63, 0x603f63ed, 0xc19f24d0, 0x9c168d57, 0x0cfba60b, 0xbc5fe717, 0x4cea6f1f,
+    0x2d29a320, 0xc9f78ec5, 0xa5f4a81e, 0x977aedc1, 0x3d7432b4, 0x8ad3a0dc, 0x29be7ee3, 0x77a0ded6,
+    0xf2cdd036, 0x08b0515e, 0xc7b0cbef, 0x3a755a88, 0xe5af7203, 0x75e5f80e, 0xc8089a2b, 0x9bd67510,
+    0xb89ba503, 0x61aeb9e0, 0xde564fcc, 0xbbac3d57, 0xeac2e9ea, 0x6f810718, 0xcbe17ec2, 0xbec14ed9,
+    0x238fb44c, 0xd57dee24, 0x59b86f23, 0xe856861e, 0xf10835e7, 0xaea9159f, 0xea7d3437, 0xf75d54b3,
+    0x141f71fd, 0xcad03efa, 0xa6c41eca, 0x0592382d, 0x7fec68ee, 0xba2a100e, 0x34c6a5d7, 0x8159a633,
+    0xbba3c58a, 0x700f6263, 0x65d011cd, 0x34ca4d9d, 0x04e50fe5, 0x30b129dc, 0xbf9e46e5, 0x071b81e3,
+    0xceb6a9a7, 0xd4e1daf7, 0x2b4e8e14, 0x9e7ed1a3, 0x6e3e1fa0, 0xfd29facb, 0xbb6571c3, 0x2ecec65b,
+    0xe40683f4, 0xdd590ec0, 0x83800722, 0xaeb7f457, 0xed8e1faa, 0x1c4d314e, 0x8113f049, 0xb40fa8a4,
+    0x67af83db, 0x0e14e91f, 0x5cd59df0, 0x8b2ff04e, 0x85db726c, 0x19c68147, 0x87449f5b, 0x8e004982,
+    0x6d2d58c5, 0x3d58d32a, 0x12890859, 0xf9902686, 0xef190f92, 0x7d6d3615, 0x66608f08, 0xd97bccb5,
+    0xc764ddb3, 0xf606226c, 0x63904442, 0x8f4b1469, 0xc1bd3525, 0x6b855f77, 0xa0ab0a2a, 0x28d3b1d5,
+    0x3c14a643, 0x0f3cc848, 0x2120adf9, 0xa6c3f957, 0xa79b8aca, 0x29de3b0f, 0xe22c28a4, 0xf438780c,
+    0xd198cba4, 0xefa15afa, 0x522844a5, 0xdbb17a7b, 0x22df842d, 0xe278c4cc, 0xa1e4e8b4, 0xac7fdb4c,
+    0xea224981, 0x475148ba, 0x6ee701d9, 0x3f80c050, 0x24f33851, 0x01323faa, 0x431e1381, 0xb547503f,
+    0xeb3aebf0, 0xdb4219d6, 0xf17e0648, 0x799a16bc, 0x553948ef, 0xa09409b4, 0xf64fef6b, 0x09f1d699,
+    0x7db074eb, 0xf5fde7b9, 0x478d6ff0, 0x62d757d8, 0x11d46816, 0x68a9f05f, 0x9479808a, 0xa00ca821,
+    0xe113101d, 0x296311c2, 0x1f14c692, 0x60de1dab, 0x45c973e1, 0x1333e238, 0x7c331be4, 0x8c6928bd,
+    0x843a95e1, 0xafec3176, 0xbdcecdb4, 0x878bb9c5, 0xbba53c52, 0x7d83e943, 0x4b16839b, 0x15f381b6,
+    0xf0223ae0, 0x87efd1ae, 0x77102fa4, 0xc7674fe1, 0x70d9d965, 0x29e68d7c, 0xaba8c613, 0x43c42da0,
+    0x066e2aa1, 0xa84656e9, 0xeea60446, 0x15441bb5, 0xa499ea6e, 0xc1ea7404, 0x45de9795, 0x12dab941,
+    0x27653fc1, 0x2e077b6c, 0xaa51cf15, 0xa5108a9a, 0x6abbc5e4, 0x4819a225, 0x4a87787c, 0x60d9c79b,
+    0x7ab84b9d, 0x8fb18c65, 0x6aa5fab1, 0x918d74de, 0xa4fa23a4, 0xffc1ea52, 0x7a9301e1, 0x2a16388e,
+    0xdd364dc1, 0xb534ecf2, 0x830e5de4, 0xe198694f, 0x56ecd0a3, 0x81ee8309, 0x3498e583, 0x982abff0,
+    0x3a4466f7, 0xaff81f1d, 0xd1a1adc1, 0xfe34959d, 0xf2a87184, 0xe80f4aea, 0xfcdbb67e, 0x7f13eebe,
+    0xa28eef2f, 0x48380c5a, 0xe58f23b5, 0x303a6f9a, 0xb2f84d06, 0xe379ce0f, 0xa0f69474, 0x8cf73297,
+    0xd71065f3, 0xbf6e3e81, 0xe7422c20, 0xe0d57cd4, 0x7c4d612c, 0x4af91d11, 0xde8e9f22, 0xa504e0f1,
+    0xf3f92297, 0xdf280485, 0xd25d6882, 0xf4b9e49b, 0x41ba5d21, 0x0f6198ca, 0xa2df0a0f, 0xa9f5e6e4,
+    0xfa090719, 0xc6930bee, 0x568706f6, 0x6676995d, 0x6df9b548, 0x426de92d, 0x62c8eee2, 0x284cd4d9,
+    0x2beb980f, 0x09115fef, 0xdca9dbea, 0xd037b2c0, 0x2f09c03f, 0x9a91de1e, 0x61053582, 0x3fe19e32,
+    0x3028696b, 0x9121e3a2, 0xa93901d8, 0xb44395ee, 0x66ffaf6e, 0x865806ad, 0x07ec1ebb, 0x955aa179,
+    0x5b53fc74, 0xe4331610, 0x5f9720f8, 0xf8a6a22a, 0x855c9325, 0x84aa1158, 0x5c6a3b5c, 0x7838e2e1,
+    0xab6b4c50, 0x4897d4de, 0xaafe9cfe, 0x37e9b935, 0x759b2600, 0x75768954, 0x5423630f, 0x823f9968,
+    0x21f440f3, 0x90bc8759, 0xd57a12b3, 0xb3294c59, 0xa5d5eab6, 0x67817ac3, 0xeffc7d04, 0x035a1d0b,
+    0x1359e32b, 0x02364c79, 0xa5da0ef9, 0x8545f9c2, 0x77c2e261, 0x0f24327c, 0x136498f1, 0xec442652,
+    0x4b52b006, 0xaf9b6260, 0x9e56ab32, 0x29f85829, 0xb66bc6db, 0xcb0824cb, 0x7678714c, 0x02621cec,
+    0x870f60a0, 0x88e9fc0e, 0xf4ce7742, 0x40e99363, 0x0564504e, 0x15687421, 0xdcce6ef7, 0x4144c1ef,
+    0xf4bf64be, 0x2256a54c, 0xefa35b44, 0x41e0d07c, 0x7d62308a, 0xed06a957, 0x76d327bc, 0xdd1f56c0,
+    0x3c53af9f, 0x2ad7a949, 0xa4f74fc5, 0x368d33f3, 0xe8991f4f, 0x9ca6bd62, 0xa43516ff, 0xe91835dc,
+    0xefe7962a, 0x1ecf27ed, 0x11c46939, 0x8ee7e1ad, 0xd7382edc, 0x5124898e, 0x7837cdbd, 0xc56f06b6,
+    0x2a0bb872, 0xe438f846, 0xab4da90c, 0x1fd27c07, 0x3ddbd159, 0x647e811c, 0x6a102102, 0x6872042f,
+    0x249100ff, 0xfef070ae, 0x42af04b7, 0xab5b7974, 0x89c54bb5, 0x1ff3a191, 0x17f50f30, 0x3369d53d,
+    0x34f3bad9, 0x957c265e, 0x85646e53, 0x48480dfc, 0xf9a8e694, 0x6be90540, 0x9b4865d7, 0x610f47b7,
+    0x1f16ad39, 0xc65c25e0, 0x04e4639d, 0x59ee3e55, 0x6f741c23, 0x6b596c4d, 0x36a22f79, 0x4f044918,
+    0xd867e096, 0x41eed8c2, 0xc4671333, 0x55b9bb6a, 0x265cd7b5, 0xadcdfdb5, 0x69551de4, 0xba434b28,
+    0xbf6f1ab8, 0x4e328ca4, 0xa491fc0e, 0x428f922e, 0x4f93dbb3, 0xcdecf50c, 0x86216958, 0xe3759e8a,
+    0x2a8aabf9, 0x624b24a5, 0xf1a5c38e, 0xe26584b3, 0x3792db6f, 0x7e6cf964, 0x97a5b4db, 0x9c5a3cea,
+    0x365b74c7, 0xe325f2e5, 0x8065e759, 0x26f2122c, 0x921ba16a, 0x34b243de, 0x465eb535, 0xde3691c3,
+    0x793833d4, 0x465949a0, 0x56704293, 0x633b3d79, 0xd4678f7b, 0xfcce4c27, 0x2781203e, 0x49446f31,
+    0x2dd64e77, 0x7018d09e, 0x77e80732, 0xfdca1913, 0xf3b23124, 0x0d2dcd72, 0x9823f74f, 0x2fbc2873,
+    0x08813736, 0xdcc4d8d6, 0xb03ecfac, 0xe49fd19c, 0x21755774, 0x4931429d, 0x1e393e43, 0x140bc352,
+    0x6e5a7182, 0x54180ec5, 0xb68212b5, 0x7b94317c, 0x26c0bf99, 0xc359e5aa, 0x8cf7f5bc, 0x51db5cb5,
+    0xcd6cfa65, 0x7b210b61, 0xeb7feb88, 0xed0e666d, 0xe3afa042, 0x8bf871c1, 0x6f24c654, 0x35252ec4,
+    0xf471774a, 0x67306cc1, 0x5a39aad1, 0x6172b295, 0xf18c9b70, 0x8b794f63, 0x4818304e, 0x44ec4dee,
+    0xb631f033, 0x1b57b9f3, 0xe3c4a087, 0xa5be3016, 0xadadff26, 0x1e524c84, 0xf0d68889, 0x9fec969d,
+    0x276580fe, 0xc9357f7e, 0x521c1296, 0x19890caf, 0xece824ef, 0xb320c411, 0x71f1c515, 0x76870d37,
+    0xccd1dfe6, 0x1d9fadae, 0xb2a4e106, 0x848c38e7, 0x07e6c648, 0xf6d9cf51, 0xc4b9d5ae, 0x6f5642ad,
+    0x0c78e03e, 0x49820dca, 0xdfbf8e5a, 0xc251c144, 0x8d887a5a, 0x09bf3e53, 0xac976683, 0x02d79f64,
+    0x9c244c1f, 0x4720be5b, 0xb0ab4b1c, 0x300a3aec, 0x5ab452d8, 0xe9dad947, 0x7030c1f1, 0xcc52194f,
+    0xc165db93, 0x482f588d, 0x27ac52ab, 0xd2a619bb, 0x294ab5d4, 0x8f6fdf59, 0xdc870cc7, 0x5bd945e0,
+    0x55d6a5c5, 0x7409593e, 0x3e5d4352, 0x41f3e0e5, 0x22c682c5, 0xe9b98a16, 0xf6f8c496, 0x1b35bd64,
+    0xeda11ce5, 0x1ed051d4, 0x935c9f2e, 0x6c8e8e5e, 0xf079295a, 0x1d7ab35c, 0xdb706068, 0xededb74b,
+    0xcb3b6712, 0x7e9c43ac, 0x6ce774fe, 0xf16d4ee3, 0xb10819b2, 0x8ef07791, 0x6d748661, 0xf63aa250,
+    0xa866fba5, 0xa2e7680c, 0x21e77962, 0x8e61370b, 0xc3a8e59e, 0x134fc0a9, 0xfb351113, 0x8b46daa2,
+    0x9a80b77e, 0xd1526095, 0xc05fea16, 0x7b3bad53, 0x9d691d87, 0xad6cd7b1, 0xcf86a8cc, 0x98d208bc,
+    0xe59e1e8e, 0xa89fb7dd, 0x73037865, 0x2406e8a2, 0xf744612c, 0xbc929689, 0x2c8debdf, 0xe4a7b10c,
+    0x3e325d0f, 0x6e84c013, 0xa06ad84f, 0xcba95ac2, 0xb5e504ac, 0x5ff53823, 0xf5ffdf29, 0x05a8a15a,
+    0xa8590271, 0x9b2bbcac, 0x62f395dc, 0x397919ff, 0x0e6e01c5, 0xb8805342, 0x52d60966, 0x329086df,
+    0x15473258, 0x2d80a58b, 0x61b9b78e, 0xe1dc4b8b, 0x736a40a1, 0xbdf3a834, 0xfe1f43fb, 0xd68419cd,
+    0x2cc1b02b, 0xce5d9d72, 0x2ec4194d, 0x60120206, 0xac5230ec, 0x7d1e3848, 0xbea11899, 0x412b4c96,
+    0x1e430466, 0xda42a5cd, 0x4e1f91b2, 0xb2d6a491, 0x6964e1d6, 0x37ab97cf, 0xe480ee0a, 0x1346e9ee,
+    0x1e25f007, 0x2b38e159, 0x7af8bd4c, 0xc248961d, 0x6112e73f, 0xa11df9ca, 0xf1345f55, 0xa47fc376,
+    0x1d6ad763, 0x0b9f8170, 0x206d85f8, 0xc9485304, 0xc6382125, 0x44c69174, 0x0bafa2ea, 0x4cb8193a,
+    0xb9de5311, 0xf444ff3f, 0xd850123f, 0x1acd32df, 0xbdc48216, 0x91fb8647, 0xd8a2fe98, 0x58cb0a33,
+    0x43ad6c43, 0x680525dd, 0x7439e2e0, 0x85c09b98, 0xfc969646, 0xe5336f86, 0x45855fc5, 0x2008ed52,
+    0x163d3d7c, 0x757f5ea1, 0x2f8f9c4a, 0x09fab9a9, 0x33ce6b23, 0x9ead5ad4, 0x8bf697ab, 0xb7ec3de4,
+    0x35c4ce80, 0x80b030b6, 0x3ba33c3e, 0xb118933b, 0xd61478e1, 0xb2c53d84, 0xd42ee55b, 0x723dda77,
+    0xf38a6a51, 0xe7e74898, 0x8f49c871, 0x6c5ec561, 0xad86818e, 0xdb4213d6, 0x0aeab7cf, 0x877d5aff,
+    0x68dca199, 0xd0c02742, 0x8eb235fd, 0xf9b0e6a1, 0x1e29f783, 0x288884e1, 0x491397cd, 0x85b7f126,
+    0x60b70dd2, 0xafa754ba, 0x5a30ac53, 0x72e6a289, 0x9126a4b6, 0x42409cf9, 0x7f9d6b1e, 0x91c66a03,
+    0x4bd5f5bc, 0xa014e579, 0x2dac5dbc, 0x8de88fff, 0xa871a794, 0xed8576a4, 0xb1d95d22, 0x1ba88b50,
+    0xcff1c7f6, 0x8258ef26, 0x4d54dee2, 0x8d58be70, 0x733a1b15, 0xea7307c2, 0x8009b3d1, 0xc3798546,
+    0xa808e75c, 0x5ac6c5a2, 0x70efce47, 0xc5eae054, 0x293545d3, 0x4f051448, 0xfa3e9946, 0x35d634b8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000174224571863520493293247799005065324265472 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c9, 0x4092cc99,
+    0x00000000,
+    0x9e616bfc, 0x6f38ff56, 0xa621405c, 0xc8093b93, 0x6d4c5815, 0xc488b105, 0x93ea8e10, 0x00ecc5f7,
+    0x2afb002b, 0xdcc358c4, 0x317f7655, 0x19610ac1, 0x51f65e17, 0x0677d654, 0xef939f90, 0x103aa792,
+    0xb6e6f86a, 0x1de9934f, 0x876941d3, 0xa0d84199, 0xe5629c92, 0xc748bbb3, 0x6940576f, 0x67e328dc,
+    0xd3eab4ce, 0xe678a14c, 0x3783c423, 0x60770882, 0x096f636c, 0x708ffd6f, 0x15bfb817, 0xb2c3f262,
+    0x118d3941, 0xd8472569, 0xe8680ced, 0xc37da9e4, 0x4de63634, 0x1bd11e7a, 0x728e97b7, 0xdacf44f3,
+    0x7f3aed7d, 0x95b09755, 0xdc0e74de, 0x62a88d8d, 0xd42e284e, 0x9128ecb9, 0x9ad4e007, 0xb256ebdc,
+    0x9a334d7a, 0x9a5ec4c0, 0x5de87913, 0x781bb0bb, 0xded8fb20, 0x8e21407a, 0x3eb295a7, 0x5f272c2a,
+    0xe299bc1e, 0x2966958c, 0xcf35b079, 0x29607863, 0xa580d358, 0xd3366d10, 0x795c6470, 0x213e6330,
+    0xbb4c496c, 0x53383da8, 0xb24c36ab, 0xc626df52, 0x213d494c, 0xd3b2a5c4, 0x6e6e4fc9, 0x9267fc90,
+    0x7ae59aa5, 0xd900bdf2, 0x00fcc557, 0x344898d9, 0x488651b6, 0x1d9484a2, 0x30cdbbda, 0x8b1c22e5,
+    0x07a9937c, 0xebf51858, 0xf0cda1e4, 0xe1732f1d, 0xe6c642c4, 0x198e3f41, 0xcf382714, 0x1b2a3538,
+    0x1eea38f2, 0x3250aa47, 0x44b993dc, 0x47c5a1e7, 0xabd8647f, 0x4748c091, 0x6e4d0948, 0xfeb26e68,
+    0x501dacdd, 0x9a32fa37, 0x2b3b20db, 0xf06bfa26, 0xbe1fed62, 0x00b26573, 0x60b3173d, 0x52994596,
+    0xcad5ae2b, 0x3903730a, 0xdf7b13d3, 0x4e1ef893, 0x9f5e9d5d, 0x50bed0d5, 0x9765ca24, 0x22aa8dbc,
+    0x627035d7, 0x24809c66, 0xb4daf0cf, 0xf147ea1f, 0x36874529, 0xc14cc078, 0xf7aae350, 0x0fd212dc,
+    0xf8efbf0d, 0x59b977cd, 0xe1206291, 0x15940266, 0x4f1639e3, 0x253d0e31, 0x66d68e17, 0x65bb7de3,
+    0xcfe108c1, 0xc9f706f5, 0xa2f489c9, 0x76008f7b, 0xeff0223c, 0xc1db97a9, 0xca9162f8, 0xafea9635,
+    0x2755e18d, 0x65cd781f, 0xdca3fd48, 0xcff30702, 0x2a3ddee1, 0x20fa263f, 0x36db0d83, 0xf72ea770,
+    0x7f7b67ba, 0x8138b7e9, 0x0b6b0096, 0xa7ca7d89, 0x551c715a, 0x3c625e37, 0xac6b2636, 0x7989e4e4,
+    0x5a2f924c, 0x94539d7a, 0xe3773c9d, 0x3ba6d85f, 0xa9cfb5b3, 0xc29deabd, 0x1c833ed7, 0xbc7bb7d7,
+    0x4498584e, 0xc809374e, 0x0a6786ae, 0xdf9cd6c1, 0x6e9e2784, 0x3bdafc52, 0x1153643a, 0x223e5c1b,
+    0xe6627e9b, 0x8fbd65f9, 0x5305ec06, 0xa6805096, 0xb8135d63, 0x171ed989, 0xd8cad1ac, 0x4684d5a8,
+    0x669ae681, 0x43f88642, 0x847fee67, 0xfbe530d7, 0xfc1263d3, 0x77d07644, 0x243de432, 0x29bb9ec3,
+    0xbd68b95a, 0xf37655fc, 0x630032a8, 0x460fbc94, 0xf0d2ea58, 0x3a804c94, 0xb84ba19c, 0xc9591e74,
+    0x09663b3e, 0x5123a8b8, 0x07db17be, 0x5b970923, 0x166afe0a, 0x1642886b, 0x46409f14, 0x2cd96e81,
+    0x5c190290, 0x7d9a1ce2, 0x53c21e86, 0x0853d8e5, 0x64fae4f4, 0xfacce0d9, 0x3851a74a, 0xccee3731,
+    0x03591c2f, 0xf5d4335b, 0x2f01a032, 0x755f965b, 0xa83bde66, 0x5f9cef79, 0x996c1b18, 0x75dbf679,
+    0xea05f7eb, 0x08f6033b, 0xdd998d30, 0xdeb47695, 0x74aab3d6, 0xa1817c30, 0x97107293, 0xee13c07c,
+    0xea0582d6, 0x2f89d858, 0xf87c07a9, 0x53b60791, 0xe00c14f2, 0x45445634, 0x24790f76, 0x9c02d1c5,
+    0xfb699ff9, 0x09fffc33, 0x008256e0, 0x379b1013, 0x3bd25083, 0x57202800, 0x4d43bace, 0xca3b616e,
+    0xb28bf4a4, 0x3d845ee2, 0xba933b39, 0x48217ee2, 0xed3a192a, 0xf5854ce2, 0x9333addb, 0xc4da93d0,
+    0x50d292f7, 0xfcfb6d4f, 0x737dc597, 0x5a1ea2fa, 0x87acee5d, 0xa225b22d, 0xcf5a06e2, 0xb524bd3f,
+    0xe1b80271, 0x60483463, 0xc56bd1c9, 0xd0a350ab, 0x39e5a4c7, 0x1179be5e, 0xbc15e583, 0x68a7fbe3,
+    0x0da8d903, 0xa62e248e, 0xa921c7c9, 0xeaaf0334, 0xe63f1844, 0xeb048973, 0x238ec2bb, 0x0675e757,
+    0x477bf2fc, 0x5aff9bb6, 0xcee4715c, 0x44959229, 0xd1d557eb, 0x221846af, 0x4dd05979, 0x058ef03f,
+    0x30ac4cc8, 0x93a974b9, 0x48e0a569, 0xf5dab662, 0x7124ee95, 0x03768922, 0xce70feaa, 0x2ed1fba4,
+    0xe546a8e6, 0x2f394b82, 0x620e84b2, 0x5ed2ee00, 0x63f206ef, 0x935b12bb, 0x17c6684f, 0x3d5acdc9,
+    0xb6d41805, 0x7226df91, 0xfad66f96, 0x1aadd9f3, 0x8f8b79f4, 0xdb0a5b09, 0xdb6c8490, 0x042f1f22,
+    0xaf9aa39b, 0xcf360554, 0xe93f5a39, 0x4ca16379, 0x789dea7b, 0xc25f6c46, 0x6b2efc01, 0x6dd64303,
+    0x49729dcb, 0xeeffd9bb, 0x773b6c49, 0xa8432ebb, 0x99b9fbdf, 0x9a346cae, 0xac5181cd, 0xd53158f2,
+    0x8eba724c, 0xf4dec86a, 0xfb7dc95c, 0xd2a42390, 0x1f5a3f1f, 0x96225c7b, 0xba17cee5, 0x563c0fbd,
+    0x775de0d2, 0x429bddf1, 0xe35ee408, 0x269bc596, 0x63530d5a, 0xc8fdb0cc, 0x72de8abc, 0xb1917ec3,
+    0xb2b90fc8, 0x340d617e, 0xa490b97e, 0xbc7da0ad, 0x10c78a31, 0xf6506ee7, 0x39af4ab8, 0x92208d34,
+    0x81ac3204, 0x00b722fd, 0xbb17b69b, 0xbd4d9e12, 0x7f66596f, 0x4e705b2a, 0x3c695eef, 0x6f27b4aa,
+    0xc81f794a, 0x992b0a7a, 0xc954d945, 0xa2143770, 0xda052728, 0x2d3a2774, 0x458fe003, 0xa43e3094,
+    0x1cbad271, 0xfc09bc31, 0x88c21915, 0x037ea0ec, 0xd99bda2b, 0x36eb2cc1, 0x9d9cf131, 0x34be02de,
+    0x3b969141, 0x4ddc011e, 0xa1369df4, 0xa8c0a4b3, 0x73c1e66a, 0xc421233d, 0xb072bd95, 0x18ac1eba,
+    0x00a6ab68, 0x6c84071d, 0x8a5c77ea, 0xe0a2036d, 0x4fb8c21d, 0x8d4267b8, 0x6e4dd342, 0xaf3e9bac,
+    0x23965070, 0x99001ff1, 0xab3b59a4, 0x724c0018, 0xd659989c, 0x6441de4b, 0x432e2c11, 0x767798a5,
+    0x4ec5df57, 0x95cdd4d5, 0x769d9598, 0x6cb46404, 0x38c98f82, 0x7e410211, 0xd76db1eb, 0x3177dc7b,
+    0xcdf93091, 0xe0689cf5, 0x69f7cea1, 0xf3912ceb, 0x84391c02, 0x8b53aa4f, 0x90f9dd00, 0x78b37614,
+    0x5b969047, 0x876801b4, 0x5f116f16, 0xae143723, 0x2dc47a6b, 0x59f6dfe4, 0xaa0ddc68, 0x071f7659,
+    0xbac7456d, 0x8980b79a, 0x1ac3e464, 0x80295be5, 0x2fcf07a9, 0x189f3341, 0x4d6a6272, 0xf6ccb1ba,
+    0xe545c758, 0x1a69289e, 0x9fdb1a1e, 0x13f7eea2, 0x52f5e20e, 0x2f9b0702, 0x62e3ee79, 0xe3b2da85,
+    0x1d9a4d10, 0x24f62f42, 0xf7f55f47, 0x8b326e15, 0xd0ae14b1, 0xb28413c2, 0x3bdc9751, 0xac5d6ac9,
+    0x3b0b1064, 0xf661ce05, 0xe7bd2c6f, 0xfd8ca93c, 0x6ed71ea0, 0x287804c3, 0xbcd758a8, 0x3e720aee,
+    0x4bc47cd2, 0xb629e5c5, 0x4ad609a6, 0x70b0fd43, 0x33ea6c3b, 0x0256d758, 0xfcb99d22, 0x9dca4f6f,
+    0xfadfff57, 0xcbb8f3e8, 0xdc662b64, 0x37c1b8f2, 0xc74b5086, 0x96500138, 0x6b012042, 0xffe209ab,
+    0x13eb6afc, 0x8a5e4b41, 0x7f2a6cbd, 0x0f2825c9, 0xce0db7cf, 0x3c26c522, 0x2021d300, 0x3274b0aa,
+    0xcadff5c5, 0xf4038b27, 0xf974d38d, 0x0dbb1e52, 0xe47054d4, 0xa18414ed, 0x1536c768, 0x8f93faf6,
+    0x359a6f69, 0x0119990b, 0xcbe5b216, 0xa9754164, 0x629105ef, 0xbd3eaea0, 0x2d4b2527, 0xe962b90e,
+    0x91c15ce2, 0x3a8f4c7f, 0x68a4a339, 0x91c58f4f, 0x55d7e979, 0xa2bd5f97, 0x63fa4adb, 0x68693fd1,
+    0x4b68eaa8, 0x83a6f931, 0x7e8b0258, 0x67cf2b93, 0x652dbc4e, 0x9d7da717, 0xc5e4a775, 0xdd44ec02,
+    0x2e2bfc7a, 0x74d85924, 0x2c0a35d7, 0x41a082e0, 0xad722bce, 0x216f2af7, 0xd55280b3, 0xa188869b,
+    0x560cb955, 0x99bb1f9d, 0x45313547, 0xb3c1a4ed, 0x541ea354, 0xdec60eaa, 0xca367845, 0x8a18c4da,
+    0x9a8cc332, 0xac56b7ae, 0x8f05ecfc, 0xbca05299, 0xc3096cb1, 0x8fc1d02b, 0x8f762bf6, 0x8be13216,
+    0x52bd92ca, 0x6880e7ce, 0x9ca2b260, 0x313d6f2f, 0x4c344aa2, 0xd95b11fc, 0xf920acda, 0x6d4f914e,
+    0x5719097c, 0xb9506b92, 0x60be1b03, 0x817c16dc, 0xc462e8f7, 0x5c2d6079, 0x7b27b1dd, 0x55c82211,
+    0x5dcebdc3, 0x79917d97, 0x060c9397, 0x6fcab35b, 0x72d48232, 0xc145c029, 0xe7b13e8d, 0x3167e3b5,
+    0xe3475f45, 0xa507229d, 0x3f50e362, 0xb111f945, 0xbbb60d7a, 0xb0e67e4f, 0xce701a13, 0xd751e0cd,
+    0x30eb39df, 0xced71f56, 0xd89ba239, 0x700e7175, 0xcc73cc3d, 0xf51bba0e, 0x695f3907, 0x3ee256fd,
+    0xc49e276f, 0x77433bad, 0xc5b3bc2e, 0xe55c1b38, 0xeba2b34c, 0xbd8f2796, 0xfa6d82a2, 0xd90817ae,
+    0x6b48f346, 0x03e57679, 0x31e40c7e, 0x913d1378, 0xc0f3bac9, 0xde3d31be, 0x1fc75903, 0xc4f25da4,
+    0xa5d1aa21, 0xf5416c9f, 0xec9a68bb, 0x1adbacf2, 0xe45797cc, 0x13c21503, 0x05c21cb5, 0xe6cd8038,
+    0x425bf41a, 0xde52335c, 0xc6d697a7, 0x701f7216, 0xd44b4770, 0x6ee6cb5f, 0x1c329e0f, 0x4ca9bbba,
+    0x0cd68a4b, 0x8ede69fb, 0x0c599289, 0x1465ecba, 0x4cd99577, 0x0bdbe375, 0xf9a09595, 0xb7735832,
+    0xdec7d11f, 0xec2fa361, 0xfe39799e, 0x9f2a84a8, 0x1c55f05d, 0xe82615bc, 0x89e371c0, 0x4ce5e184,
+    0x141ae04b, 0x79e03314, 0xf5cbf690, 0x002db388, 0x97d239d5, 0x4ea1daaf, 0x4a6ad7e5, 0x8b478a36,
+    0x653ef289, 0x06552e70, 0x8eff618d, 0x0d491332, 0x3aac5abb, 0xf9ada4f4, 0xcbaef8b5, 0xd85474ad,
+    0xc3775d97, 0x42ecf50a, 0x2922a10e, 0x3d37ea8e, 0xc79ed4b3, 0xc464edff, 0xf595472f, 0x41f5c56d,
+    0xd10e442f, 0x38e81ea4, 0xfd8a57fb, 0x0403e596, 0x74b12cd6, 0x32305173, 0xc83de597, 0xc45e30df,
+    0xa13f6bdf, 0xf0398c09, 0x171d7c25, 0x54f2d846, 0xac20eeca, 0x2dd6aed9, 0x9eb57fdb, 0x7d43b08a,
+    0xd753231a, 0x9943ab1a, 0xb9b28ee1, 0xcb295450, 0xd9cebc23, 0xb76e0950, 0x986f4f05, 0xd91d95e8,
+    0x5444a956, 0x48b0cb23, 0x70263731, 0x6a802448, 0xe40091bb, 0x4db2b427, 0x4404ce2d, 0x247a2242,
+    0x04d6a427, 0x71301fe3, 0xe90761b8, 0xbac1253a, 0x9976862e, 0xf827cbbb, 0x7a35926d, 0x326362f8,
+    0xd60cda1c, 0x957ff1ea, 0x2e47f7d1, 0x68ca82be, 0x58847861, 0xfb3bb819, 0x678b2ae9, 0x89a44975,
+    0xa0251084, 0x45422ce9, 0x4fc80f12, 0x62804c20, 0x6be6a837, 0xdf272b87, 0x9f9550a4, 0x5fdee972,
+    0x0f56d793, 0x23fc8519, 0x0ee7a378, 0x8f1e957a, 0x029ef9c2, 0x3559cd45, 0xd112af49, 0x1261ed2d,
+    0x21219df4, 0xc54d88ea, 0x19ddcd58, 0x3d794068, 0xd631fc8d, 0x7003cdd3, 0x194b52e6, 0x3fb295db,
+    0x7811bc76, 0x750e5441, 0xa25abb01, 0xa6993f4d, 0x84e18daa, 0xd91db5a9, 0xae58860d, 0xa57102ec,
+    0x4e328f50, 0x338d3dbd, 0x1ca0a058, 0xcd99c478, 0x315015ee, 0x3fd2d23c, 0xc2c9b98f, 0x41fb9f9d,
+    0xedeee3bb, 0xbac14349, 0xc11be4e4, 0x91a54456, 0xa1556cdf, 0xb89872b0, 0x1332a569, 0x50ac0af9,
+    0xb085ae84, 0x9320fac5, 0x624aca65, 0xadf6d530, 0xd1da3cb3, 0x1812a9ee, 0x76a1cd1f, 0x89416c02,
+    0xf9d97922, 0x6a08331e, 0xc322cc66, 0x611a82a8, 0x275d5b3c, 0x4d07ba61, 0xce4ec0ac, 0x443e3401,
+    0x4fca8e0b, 0x9b38183e, 0xc22c8ebf, 0xfc7b6b74, 0x7156d598, 0x909f3ec1, 0x4e3248bd, 0x04671a7f,
+    0xc93e3803, 0xd1ad851a, 0x191fc35f, 0x861feba7, 0x5272ab2a, 0x27ccc5b3, 0xa8cf1fd6, 0x57eb1b71,
+    0x677a0c01, 0xca22f420, 0x60774eae, 0x3edf914c, 0xbaf5c33d, 0xb0c52a88, 0x19070214, 0x68186315,
+    0x6a3f2a10, 0xf41dc20f, 0x747dbd26, 0xb6370070, 0xfc042a6b, 0x17f9834c, 0x6912b25b, 0xca938b4d,
+    0xdf28aeb7, 0xa11eed00, 0xd39ba913, 0xf16f57f5, 0x83e7b09d, 0x6df2016c, 0xb39bc6ce, 0x957dc246,
+    0x0ab57bf4, 0xe8c88994, 0x61689a78, 0xe1b95232, 0x2bbdcb57, 0x321b3904, 0xb02666d5, 0xb0d7c7d5,
+    0xa895603d, 0xf51ec8c5, 0x03d7b3e0, 0x8b2bb175, 0xb642a4bb, 0x1b9edb89, 0xeb4758ed, 0x95894f3e,
+    0x32f0516b, 0x4e018838, 0x83d18978, 0x5473e8c2, 0x611f8cce, 0xce126b76, 0xb02336c5, 0x4b1e3476,
+    0x4c76734c, 0x3f7e582c, 0xf027a743, 0x2880218e, 0x73694127, 0xb42dda12, 0x341600c5, 0x0f266bf7,
+    0x75c4075b, 0xf58b0790, 0x1450a4ec, 0x481fdad5, 0x76308260, 0xe2b49431, 0x58206b4b, 0xaffc7623,
+    0x8ebac9f7, 0x1734abe0, 0x6ad88ab0, 0xfff1c61e, 0xd8bdb7d8, 0xa556f8bd, 0xa2f88dd8, 0xd08afcd7,
+    0x7cbe6c28, 0xb01aad95, 0x68ff843b, 0xd39ef992, 0xf54d3a56, 0xbdef2616, 0x7041aaea, 0x400ac610,
+    0xfa3c9f85, 0x97bf29f5, 0x32537eef, 0x9302f4f4, 0x6e23f5c5, 0xf9e65dce, 0xadfe940b, 0x17d8dc78,
+    0xa87357a4, 0x6ad5e672, 0x86cdb3c6, 0x7a2e0ee5, 0x22c8044d, 0xa71b8a1d, 0xf6fe4a84, 0x375d1b70,
+    0x1137fbd7, 0x4b181de6, 0x8c0b8d68, 0x11d449a4, 0xcf18bc71, 0xb8ce435f, 0x1f5cb5eb, 0x96971e50,
+    0x971a60e1, 0x8945d5ae, 0xadf62091, 0xb4fe4c1c, 0x7d26a02e, 0xdfa38e90, 0xb71fe094, 0xf4f15fcc,
+    0xab118cb8, 0xe82ef662, 0x4b647ca0, 0x7e177a84, 0x188934fd, 0x80970d55, 0xa3c79276, 0x7f5517da,
+    0x4d5888db, 0xb53af40a, 0x68a39b4c, 0x28de13a1, 0xad08bfa0, 0x89fb89d2, 0xdc358ce3, 0x24e85a04,
+    0x86697c06, 0x5a15ba70, 0xccdbbe24, 0x28b9d442, 0x9959837c, 0xc11a6c65, 0x97de8b63, 0x5ce0253a,
+    0xbb548d32, 0xfde90be3, 0x87adafb8, 0x4d8814ca, 0x2704bfd4, 0xfe58b13a, 0xdc877dfe, 0x2f2217f1,
+    0x3d2c85da, 0xd79615ad, 0x0ed58479, 0xa95a6ddc, 0xe93c80ff, 0x8bd5a214, 0x6960d061, 0x7e3fe62c,
+    0x6477f5aa, 0x3bf42d2f, 0x900a5c8f, 0x6aa9c195, 0x1d40e159, 0x80d82f98, 0x94c67787, 0xc036640d,
+    0x0edce1c5, 0x8d904e6b, 0xd8d0f3de, 0x24334beb, 0x82c1b8dd, 0xb8fb21d6, 0xf8da1236, 0xdba1630b,
+    0xb8d8be9e, 0x77387d96, 0xa9785f2f, 0x6dfea28a, 0x7ad42980, 0xe2dedafa, 0xca733485, 0xf2315e81,
+    0x2e74d233, 0xcd519993, 0x6b34a4df, 0x43d9aef4, 0x1dfcd88c, 0xbb962da4, 0x7972cdf4, 0x61f8a15c,
+    0x341d24d0, 0x83b542ef, 0x21e96db5, 0xd0736bfa, 0x1bdcc255, 0xfc003e76, 0x8268c992, 0x2765eba3,
+    0xa569b554, 0x9f6b7bc4, 0xc6dba46c, 0xe64f1cf3, 0x7ad687ca, 0x4d96c295, 0xc2ad7924, 0xef869a8b,
+    0x77bf8d16, 0x2710f718, 0xccf81bb3, 0x4cd51a43, 0xc76a939b, 0xf6d64618, 0xd9cb5e3c, 0xc7aa301d,
+    0xee8d7b29, 0x5a0ad454, 0x2688bf9a, 0xb339de37, 0x31699296, 0x84477a0f, 0x1a234eda, 0xc823bab6,
+    0x8905b9b5, 0x552ee721, 0x5afd07ee, 0x6ce6a4b5, 0xee8bae0f, 0x17180371, 0xace2d240, 0x2c369f79,
+    0x5a9b812b, 0xa104f474, 0xe07369a8, 0x75cebd2e, 0xe4543013, 0x939b464a, 0xcf53376b, 0xcd3265d0,
+    0x8c3d23b2, 0x8aaf92cd, 0x2cf5dc65, 0xb16cf07f, 0xe532f342, 0xe634bf25, 0xb9b395ff, 0xd531956f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000087112285931760246646623899502532662132736 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120164, 0xa049664c,
+    0x00000000,
+    0x8e61dc78, 0x3fa716ae, 0x2aedce23, 0x0c7ac8de, 0xebcdabbb, 0x0a2090b1, 0x315d20dd, 0x64ce3525,
+    0xaeea417f, 0xa408c6ec, 0x8946ac36, 0x5011492c, 0x1b382675, 0x8ff5e6d8, 0x5fbbfb8c, 0xbde47b1e,
+    0x6cdb8eef, 0x41e7f5c3, 0x1a27df18, 0x2b6622d3, 0x0d2313b0, 0xf554b83d, 0xec18ec5c, 0x23df118a,
+    0xca86092c, 0x73056f78, 0x1d4f94b6, 0x0523cb80, 0xdf356d28, 0x4153bd3f, 0x36729888, 0x66874ec7,
+    0xb4b1b749, 0xb7be0d0c, 0x2f423260, 0x8c368dc8, 0x5b4c28d7, 0x3ce39c12, 0x573c4a16, 0x1a15d09f,
+    0x239cf9a4, 0x2a5f3bc1, 0x5c7f198a, 0x96683466, 0x00da0200, 0x19524192, 0xcd5b000c, 0x235d4b65,
+    0x9a0b1d78, 0x4eb27cff, 0x9265e06f, 0xb80a6094, 0x233dfefc, 0xa5fa7652, 0x437628dc, 0xae5236fc,
+    0x4de579e1, 0x3ff56945, 0xfa33b267, 0xccb15ffb, 0x41b29aa7, 0x115de760, 0x3a289112, 0x5e3ab8dd,
+    0x3f0d14c5, 0xa0e985ea, 0x00059e58, 0xa99af12d, 0x51a7f169, 0x15aa4f95, 0xda0ce5fc, 0x958a7609,
+    0x012d60e4, 0xb7c81681, 0xe0ed5288, 0x01651231, 0x2d0eb5b6, 0xfd2385c1, 0xac63a586, 0x6da2f726,
+    0xd6981e11, 0x4faed351, 0xc15449ad, 0x964efe92, 0x886610db, 0xa82c0aab, 0x70bc1b72, 0x30c476b3,
+    0xa3c7523b, 0xd67aadfc, 0x4bea480e, 0x6e25164c, 0xbaab0d4a, 0x839b5f72, 0x0a159461, 0x4541b50a,
+    0x50d496a0, 0x4f0008f8, 0x5bd5320d, 0x7cdb9f6e, 0x6f7ae052, 0xe779d972, 0x380da227, 0x46a75fa6,
+    0x04e37c8c, 0x5db946e3, 0x8d6b7504, 0x3bd1a0b7, 0x15d031f3, 0x08c37594, 0xca808d83, 0xd793238d,
+    0xc8f235f7, 0x9ac51068, 0x8cf7aa96, 0x3be09f02, 0x1efad17f, 0x0b9e607b, 0x1306dc9a, 0x27a264f8,
+    0x54374a89, 0x6b79f680, 0x969ccd0a, 0xaff5cf6a, 0xf4d75ad8, 0xbbb4c4b6, 0xc0fa9828, 0xf8ff31cc,
+    0xde76ff7c, 0x80c1a46a, 0x1d25abaa, 0x1155df7f, 0x16192d4d, 0x97edc371, 0x05b4f3c6, 0x54e6bb51,
+    0x7bdf874f, 0x7ead9f91, 0x550a9a0e, 0x89e3aee7, 0x13c6e019, 0x067a4e9e, 0xbe84dbde, 0x6df6d1f9,
+    0x9e636118, 0x42e9e92d, 0xf8f79882, 0x85278f58, 0x2ade1cd2, 0xa96cf605, 0x708b302b, 0x178f5af2,
+    0x075173a5, 0xb2ff8950, 0x580e4813, 0x5f9e4203, 0x48d074c1, 0x6ec459b9, 0x260bcb7a, 0xf2631f62,
+    0x4e12e91e, 0x32305b35, 0xa73ba3bf, 0x1e2cce2b, 0xcbbb89e8, 0x35144a01, 0x9effe566, 0xf5c2167d,
+    0x92053c60, 0xca9ab9cc, 0x2ec5cbb3, 0xe6357cba, 0x8cef3651, 0x975731a5, 0x7eacc957, 0x2fc58976,
+    0xa1be7e0c, 0xb2e72662, 0xf48e1755, 0xb3fde6a8, 0x3e5c88db, 0x0ba0af67, 0x7066229e, 0x373bc932,
+    0x3f5066c2, 0xd8bfff30, 0xb90352fb, 0x81b7d1b2, 0xd225be36, 0x8427afa4, 0x4a8f741c, 0xfe00ba8c,
+    0x49e2da93, 0xab787ccb, 0x12f2e62c, 0x035fbeaa, 0x9e64b876, 0xdec3aa72, 0xa723ff5e, 0xc2f29049,
+    0xc59f3445, 0xb54b696a, 0xcef3fd0a, 0x16bbe2e4, 0x4cc598b3, 0x6945b9a3, 0x8ee81285, 0x0535cb2e,
+    0xa1fec66a, 0x73ba82ea, 0xc763d800, 0x0cfc964c, 0x1aea6e29, 0x9aa4b0bb, 0x0cf980a5, 0x81ee1f6d,
+    0xadf0b56c, 0xdaba6f62, 0x9bdd856c, 0x9078d6bc, 0xad832b33, 0xec27b0cd, 0x5e262949, 0x30c8d40d,
+    0x6fa28ae4, 0x2db3fa53, 0xb9d61284, 0x6cce6f5a, 0xf80d06c9, 0xfe41444b, 0x3905633e, 0x585b603d,
+    0xfe31d4ef, 0x0f5bdc94, 0x44096f02, 0xcf5f0187, 0xb56e2c17, 0x41766e37, 0x4adce32b, 0x167c218c,
+    0xa01b7028, 0x252ecdd8, 0x526e76d4, 0xfde840ac, 0x6399ee03, 0x48d26ef5, 0x5583e02c, 0xcc30ce10,
+    0x27f4d82b, 0x176317b8, 0x378de292, 0xfb8c50bf, 0xb679066e, 0x03a3f943, 0x879e534b, 0xd5520e85,
+    0xaa123055, 0xe19df1b8, 0x6fe21bd0, 0x6218cabf, 0xaceff931, 0x2c065657, 0x4d68127f, 0x305edb65,
+    0x0608bfb9, 0x15bc5821, 0x864cff11, 0xfd6b5fe4, 0x43d21056, 0x304d1d53, 0xbd908de3, 0xeee12de3,
+    0xac51e2d7, 0xb7dd3f2e, 0x6126d951, 0x40b487f1, 0xebd9fb2a, 0x64fe319c, 0xec1d690e, 0x6a079942,
+    0x0f3b5f7f, 0x533ad591, 0x3d480055, 0x2be676bc, 0x0636ab68, 0xe4ade303, 0x59c73518, 0x78469d77,
+    0x30a457bf, 0x981be5a3, 0x1abe3cee, 0x021f7419, 0x9133dd4c, 0x823afcd6, 0x2bc70a80, 0xd2f6ea60,
+    0x90e9f3f8, 0x40d46388, 0xafccc3e3, 0x67b68433, 0x93379f33, 0x381744c5, 0x2aab6987, 0x95b654c5,
+    0x7125f562, 0x8d0faf15, 0x44896a80, 0xaaec3607, 0x78b6f82e, 0x6ae35e42, 0xbb242172, 0xaef32e0c,
+    0x837d8747, 0x886f3707, 0x1c9be346, 0x5e19c3bd, 0x513a46cf, 0xa20ce2b8, 0xaa912f84, 0x6e560883,
+    0xcd4e84b7, 0xcfd93e6b, 0x6eaee456, 0x91c00147, 0xd63d25a5, 0x83be4847, 0x87b7f31a, 0xde603123,
+    0x1f1891db, 0x2624065b, 0x6c59d2ab, 0x1f7cc203, 0xc48c684a, 0x1898628b, 0xa848168f, 0xf84442e0,
+    0x89d16787, 0xe2241407, 0xaac3c420, 0x39cb5a7f, 0x97873ffa, 0xe98eb457, 0x01b11837, 0x529d82f7,
+    0x4c8ce3b9, 0xa597d1e5, 0x460de7e1, 0xb439cbb5, 0x63294af5, 0xbcfe9a5c, 0xfcf44fe3, 0xc741ea2e,
+    0xd8a3d015, 0x3b35936c, 0xb355c552, 0xb7bd2b6b, 0xda2c33e5, 0xc0ecc586, 0xa7c7cda9, 0x69d3301d,
+    0x51b85cda, 0x3575c181, 0x6635f396, 0x1f356374, 0x2ee8f6b4, 0xd75f763d, 0x280795b4, 0xa543a036,
+    0x3cf5f39e, 0xf8f46815, 0xd4bc6f8d, 0x795d960f, 0x98f3a1a1, 0x703bfa90, 0xeacf2b05, 0xfd45f4e8,
+    0xaaa0990a, 0x7e487d1d, 0x72e1655d, 0xd3841502, 0x0832ef26, 0x1230eead, 0xd03b369e, 0x4a0be634,
+    0x57eae258, 0xeb9e7bf7, 0x04ea5b79, 0x9f43d55c, 0x8103f0f3, 0x0b7f97bb, 0x5ca06606, 0xce9b6397,
+    0x4a3dea03, 0x3e17ffdf, 0xe4b722c9, 0xfcff10a6, 0x9b32b1de, 0xac4f69e2, 0x2dcd43d3, 0x1840ba30,
+    0x87ae9199, 0xd49f69a5, 0xfb42c1c7, 0xd7078e52, 0x6bf147e9, 0x94ded895, 0x76975f28, 0x8645c557,
+    0x50a34d76, 0x38202785, 0x5c63fa02, 0x971b48fa, 0xeed3c59e, 0xf649a97a, 0xd4c3e619, 0x0afd18e4,
+    0x79595dde, 0xb811fc35, 0x57d06290, 0xbbd2fe03, 0x831c3ddc, 0xe618064e, 0xa4b7b5d9, 0xa7acca50,
+    0x8ec2e1af, 0x242019a8, 0x948fba7c, 0x480aa3ae, 0xce663247, 0xc4ba1916, 0x9b5261a4, 0xa1212887,
+    0xa1078ece, 0xe77825c6, 0xb80d04f5, 0x670151c8, 0x10ab2c9b, 0xe12903d8, 0x74a704d9, 0x5d0da732,
+    0xbb5ff7fc, 0x106ac4e7, 0xad699927, 0xc4043084, 0x080522b5, 0x76c2a75c, 0x65417885, 0x29647fb5,
+    0x3b3a30d3, 0x89acc467, 0x953b4d20, 0xebbe2fb3, 0xc5899c53, 0x3c828fe5, 0x2228110b, 0x359b2535,
+    0x1eb93fb0, 0x71a08a38, 0x35850a08, 0xc3a48614, 0x4a6e3258, 0x60da1546, 0xf6aabaec, 0xd17b326e,
+    0x263e6e32, 0x9d8cfd31, 0x6be980cd, 0x10219f8b, 0x0db09e3b, 0x601bb0c1, 0xf2ff71db, 0x6fc64191,
+    0x59608f07, 0xc9eaacc4, 0x03d9b3a4, 0x70efc878, 0x194b3021, 0x99d93189, 0xb4da686e, 0x0e8897cb,
+    0x1ca74afb, 0x7a500fc4, 0x88d42abf, 0xb23090ff, 0x7158ad60, 0x7e22a92d, 0xdf9b8c48, 0xbaad197b,
+    0x03fb0da3, 0x4787a1f3, 0x13592a2e, 0x6f6cf486, 0xd278b5fe, 0x650ef587, 0xbdb46e74, 0x72f9da47,
+    0x5d803a45, 0x5ea589f3, 0xf65c1605, 0x17400658, 0x3e6d83cc, 0xee2e0f42, 0xf2c7f4fe, 0x2b8049d7,
+    0x4cd8eceb, 0x793daaea, 0x4b3c6987, 0x7a843a31, 0x163a0eaa, 0x7c57fd2b, 0xe9e4a03b, 0xf1b4f13e,
+    0x96fecd0f, 0x307958aa, 0x6320c9fc, 0x167a93f5, 0xc504be63, 0x65cb30db, 0x4a884b10, 0xadcd9d8f,
+    0xea0052e6, 0xaa000768, 0x81fa78cd, 0x2df0eadc, 0xffb6cd4a, 0x75b42152, 0x6471d717, 0xf66056d9,
+    0xf618a927, 0xdb6a038f, 0xa53ed388, 0xdb2319ef, 0x6277150a, 0x8bc8b863, 0x0c673be3, 0x8304893c,
+    0xcef5da5b, 0xb5afc03c, 0x83fb346e, 0x3d9858ee, 0xe339a699, 0xb3f11ad5, 0x50c88da7, 0x165191f7,
+    0xc60965ee, 0x0a1bfd1a, 0x7ea1ca4c, 0x871fa658, 0x7ced2f3f, 0x59810c2c, 0xf5dd85dd, 0x819eff1c,
+    0x09d682c5, 0xcac32acc, 0xadb6643e, 0xca36c81c, 0x818fd5b8, 0xf2df9f07, 0xead7a241, 0x0607d452,
+    0x504e0bbd, 0x9f71c5f8, 0xe56151df, 0xe1cc1afc, 0x570640e9, 0x98b94bac, 0xa0265206, 0xaf176882,
+    0x4e99839a, 0x88580711, 0x5e8179d2, 0xcd5923c4, 0x1e1010c1, 0x54ac250a, 0x3528e35b, 0x6ed65137,
+    0xb407d180, 0x5c916360, 0x416b1bfe, 0x8b8f94fc, 0x26a8f515, 0xd6fa4036, 0x807bb27b, 0x8591104f,
+    0x8e38a763, 0x0f92a931, 0x9c4d3c96, 0xd53e51b8, 0x091eead8, 0x2a1620c9, 0xf65e156b, 0x6419546b,
+    0x72e6b6fb, 0x1574189a, 0xd66f6a33, 0x7a94a1c9, 0x68a336b3, 0x219d8395, 0x8452a58a, 0x9042a898,
+    0xac302977, 0x8bdf2359, 0xceccdf1b, 0x3f097bb5, 0x863cc103, 0x725362eb, 0x31f36847, 0xa0a8f202,
+    0xf9fb926d, 0x9e087935, 0xce2a193f, 0xede70825, 0x0e4f8589, 0xfe7be3a6, 0x2ba39f22, 0x876265c5,
+    0x6eb9fa59, 0x01a65426, 0x7260a3b7, 0x539fa218, 0x348a7d69, 0x36d2e60e, 0xefbee461, 0x980ccc0b,
+    0x75b73d20, 0x119db270, 0xc542a905, 0xffdbc188, 0x32ecabad, 0x7a64c6df, 0x5712b289, 0x1511d48f,
+    0x0d37c101, 0xd930ac0d, 0x9e393fbe, 0xc9fa55ab, 0xfb55aab2, 0x7637dddf, 0x88479458, 0x899df401,
+    0x3cee1c8d, 0xacc7af3f, 0x299476c7, 0x51aef1d5, 0x055f9818, 0x3d86a02a, 0xfd778013, 0xb46feb98,
+    0x9b2d0651, 0x7b98a389, 0x100b176d, 0x84725b59, 0xd6648bc9, 0xbc6d1460, 0xcb3e7bda, 0x31fd2a59,
+    0xe65c7983, 0x71403ec7, 0x460ddc3e, 0x8e05a35c, 0x25606d92, 0x82ae507e, 0x07425d78, 0xdc5af791,
+    0xc11ed980, 0x2645721d, 0xcd1ef3ac, 0x2f9e1ccb, 0x0cf7d339, 0x7b15ec63, 0xbaacb060, 0x40a924dd,
+    0x59a37ec3, 0x4f386186, 0xcf384c8d, 0x9f4e9ad2, 0x6a68306f, 0x414fb2e2, 0x448bc9be, 0x9cf796bd,
+    0x94924ec8, 0x32a32bbf, 0xc9cb1871, 0x8453e6b0, 0x25f749c2, 0xa077b891, 0xf0821007, 0x794a1e5b,
+    0x655ecf95, 0x4f2ac056, 0x4267bffa, 0xc8616ff8, 0x04c0d1d6, 0x8d00cf75, 0x69af8f4c, 0xb299762b,
+    0x78505816, 0x97cfb0f4, 0xb1eb0245, 0xa2683f50, 0x8d1915ed, 0xb429b9fd, 0x8f43c33c, 0x664c023e,
+    0x5100b1d7, 0x8ccc9773, 0xde326bf8, 0xeafa72fc, 0x3eb9679b, 0x3270a24b, 0x7c6b8689, 0xec3f5bd8,
+    0x41e6264d, 0x27e80808, 0x7e881397, 0xdd0abad6, 0xaccc30f8, 0x0444b42f, 0xcaa23267, 0x7fe63b65,
+    0x5cf172e6, 0x355f555b, 0x444d0927, 0x2bf938d4, 0x9d5af1f8, 0x72dd826a, 0x53d9f250, 0x76f9b247,
+    0x5fe8fcc5, 0x32b54c32, 0xca5ddacd, 0x91290b23, 0xc4f595ff, 0x4901c5fa, 0xd7980e49, 0x15c325bd,
+    0x9790ef52, 0x974a43ab, 0xb71aacf5, 0x500591eb, 0xb996644e, 0xf8c53626, 0x46fbf575, 0x521a718e,
+    0x244ec016, 0xf63d53d6, 0x0461c948, 0xad88d401, 0x0eb57a67, 0x06807555, 0xa4ac5783, 0xb9e10714,
+    0x04324d64, 0xfde40552, 0x978ec7d3, 0xf778a745, 0x46f1fd97, 0x41d0776f, 0xa13138ff, 0x582d8749,
+    0x86cfe68c, 0x3abfeff1, 0xb7b1019a, 0xbc7c879c, 0x59e48bf7, 0x1af51e0d, 0x714c7429, 0x0005f24b,
+    0xa1c047f7, 0xae9c93c0, 0x7513f67c, 0x66bd7090, 0xa5d79a17, 0x4623a651, 0x1fe218bb, 0xad30f43d,
+    0xb69e00e3, 0x256e14f4, 0xb1cf6b0f, 0x3cf7686e, 0xa120f382, 0xf54df2ad, 0x1caab65a, 0xfc1c1cb4,
+    0x15708444, 0xd14a15de, 0x664f7132, 0xf4c34c72, 0x022cc911, 0xe892ebb1, 0xa0a6e505, 0x753b2559,
+    0xdbecd68c, 0x441d53ae, 0x9e8fd620, 0x2fe5bf7c, 0xf4b08d6e, 0x8471c644, 0xccad1f2c, 0x7c9402b5,
+    0x8b4106f0, 0xa7eebfff, 0x6d9d7af5, 0xc90d1114, 0xaa79a1e0, 0x453f9f30, 0x42e65e23, 0x412c7830,
+    0x439a6124, 0xc46515fd, 0xb56b02d0, 0x7f24b5a5, 0xd7edddff, 0x313c269a, 0xe93525be, 0x2d171287,
+    0x381c880e, 0xd9c15697, 0xeafa4562, 0xbb78cc6c, 0xba409bff, 0x5691e902, 0x01b83d4b, 0x72a227ca,
+    0x1a3a92b3, 0x65013ef6, 0xf66e357f, 0x7b419847, 0xfa3e37b5, 0x40fd34c0, 0xd19e8b29, 0xa04af9c2,
+    0xce85b40e, 0xfffccbd1, 0x4df58f81, 0x2ad70e0f, 0x82835980, 0x000fca5d, 0x7cdaed67, 0xe4df8579,
+    0xcb3f7bd5, 0x7881f691, 0x1efb9e00, 0x08524499, 0x02dfcfeb, 0x3af70a62, 0x2340dc71, 0xab471c52,
+    0x2bac3810, 0x8e9b90f5, 0xeac24667, 0x8825248c, 0x971d677b, 0xaf544a65, 0x3818e102, 0xd3ea25de,
+    0xd7eb5a65, 0xb48092fd, 0x2c233e06, 0xf0f67954, 0xe608a6cd, 0xe70e6309, 0x529b669f, 0x6fc51744,
+    0x8562a5b9, 0xa2402a47, 0x76fea318, 0xa12d4306, 0xb17d2e43, 0x5d65ca92, 0x39638150, 0xe5cc8938,
+    0x8ea7b259, 0x005f7b1c, 0x0ec839c9, 0x5887de9d, 0xd829f7c7, 0xa1c99031, 0x34a4fe10, 0x5638213a,
+    0x7286cf49, 0xa1c83b70, 0x15faa63f, 0x06760956, 0xdcdcb625, 0x0b6fc4d1, 0x95ca9aa0, 0x4910d4fe,
+    0xfd9f6acf, 0x2036f590, 0x33eb7db4, 0x5abaf70f, 0xeb28e318, 0xe9a8e006, 0xb18b0272, 0xd57433aa,
+    0xf1d2b161, 0x63aeceb7, 0xa2599a2d, 0x2732b97b, 0xdeda00c7, 0xea670525, 0x4df0d875, 0x6bb6a2d0,
+    0x1c3cd8ba, 0x4ac3215d, 0xd319e165, 0xcf4a2dc4, 0x2e8cdafe, 0x2d20857e, 0x9eeaad37, 0x4571f58e,
+    0x1b5006dc, 0x6e174722, 0x4cbaa111, 0x61a52ddc, 0x26d4e0ae, 0xb770ed01, 0x3e5ca40b, 0xd15a3750,
+    0x6dd26bb0, 0x7605c03f, 0x64f51562, 0x52fa865a, 0x9cdca4e7, 0xd2ac13a8, 0x698f1b3f, 0x427c1596,
+    0xf365498c, 0x7f8e5ff8, 0x6ff7f6bf, 0xf89eb036, 0x4822632e, 0x2af40d60, 0x3baf7462, 0x43f4eda7,
+    0x60eec44a, 0xbf8c3661, 0x3962e030, 0x7e2a1830, 0xe9489bdf, 0xb2c19ce4, 0x077be9d5, 0xab56ff15,
+    0xf01982cb, 0xd5df849a, 0x2178df8b, 0xb608014d, 0xfb2dfde4, 0x4f4cf985, 0xfe6772f6, 0x13580297,
+    0xf5e3211a, 0xb0586dea, 0x8aa3a0d6, 0x7e51fa56, 0xdf792d01, 0x923fccf5, 0xfe461503, 0xfdcf6624,
+    0x6628531e, 0x71fe29d5, 0x5f538a32, 0xee17dd5e, 0xd19c11da, 0x5233b406, 0x822a35f6, 0x17c98b67,
+    0xc548b031, 0x9d753da2, 0x4abe01bd, 0xe89492e1, 0x700afaba, 0x7e2af0b3, 0x3615507e, 0x16ee933b,
+    0xe5034b72, 0xa0e6c043, 0x6ef4b01d, 0xb525709b, 0x8dcd4264, 0x623196f4, 0x15019a27, 0x4dfb695c,
+    0x5c0f5b45, 0x27b2fc69, 0x55320a01, 0x6a9ef97d, 0xdad82e0e, 0x623547e2, 0x1d73f631, 0x847a8c0f,
+    0xb7a332f2, 0xc60c15c4, 0x9aedac38, 0x6ef903bd, 0x23301146, 0x1044a333, 0x78b3bd50, 0xa4e57e6d,
+    0x8eb34974, 0x97a9ccd9, 0x4d8f1ebf, 0xeb024ae4, 0xd1ec76b4, 0x1e43aed2, 0xee5cdddb, 0x513c20ba,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000043556142965880123323311949751266331066368 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b2, 0x5024b325,
+    0x00000000,
+    0xbeeb20ae, 0xa39b588c, 0x1827a9a4, 0x71fe4125, 0xe636a292, 0x7030c441, 0x0fe3c8f6, 0xbedb9501,
+    0x6d237527, 0x74a37745, 0xdb1346d8, 0x6939c786, 0xf4b1d91b, 0xd46d1842, 0x8a8833fb, 0x02792bf7,
+    0xaef037b8, 0x8eaa9310, 0xdb9fc21f, 0xbacaacde, 0x550adfd5, 0x2b6c2afb, 0xfc5ec6e7, 0x79f4e5e9,
+    0xc5c53da5, 0x2f5fbfc4, 0xca208aa7, 0xbf852fe0, 0xc7767a1d, 0xeb284fa8, 0xee25e191, 0x66a2a484,
+    0x7fce085c, 0xe0670289, 0xa488e1e9, 0x5ff7b262, 0xf17972a0, 0x6ca267a1, 0xb2d1a143, 0x9850db62,
+    0x7f16a541, 0x764e26aa, 0xbd9af652, 0xfb0fdbb5, 0xab3202fc, 0x93744a79, 0x59000140, 0x1c441243,
+    0xc2597d24, 0xa46788b9, 0x06c09a71, 0xc5d4d2b4, 0xfe22df62, 0x3d443609, 0xcccd8421, 0x2d9284ae,
+    0x04869e84, 0xbbd7c077, 0x3dfeab93, 0x99587d82, 0x9e6b3f9d, 0xef688e94, 0x4a57e335, 0x8112c279,
+    0x59404603, 0xe7b3ba78, 0x45c47452, 0xb63f609e, 0x63b730a3, 0x02439f46, 0x86e51c7c, 0x28b39481,
+    0xa9eecd43, 0x861c14a0, 0x0de53940, 0x0233d1c4, 0xb2008913, 0x0fea487a, 0x7f0ccda0, 0xe837e8d2,
+    0x2b37a73b, 0x88e77274, 0x5441183a, 0x241504e0, 0x2a319d8c, 0x507feaff, 0x69f52f9d, 0xae7eaecc,
+    0xcefc816f, 0xda5d6748, 0xfff3e4c7, 0x0d3d8962, 0x4f6891aa, 0x4aef2d91, 0xf99ff114, 0x9d56be99,
+    0x413602ad, 0xa5486d1b, 0xf6701695, 0x1e3a9fd1, 0x24b655fb, 0xd8960de4, 0xb2d8bb6b, 0xff3abc30,
+    0x5c079b2a, 0x65093ec2, 0xfd04ce7f, 0xa8a7d6d3, 0xcdf23ca4, 0xa48396b6, 0x3da0ced6, 0x949ca1b9,
+    0xa0dd0a13, 0x6f9e7a7f, 0xd0f0aafc, 0xb8933e18, 0xdf09ec9d, 0x7af38cbf, 0xa927f9f0, 0x04188a9a,
+    0xa0442445, 0x6bcddef4, 0x3e7f2fc4, 0x59eb68f2, 0xbcad79c6, 0xf0871211, 0xec2ae330, 0x17d5b680,
+    0x2eb15f88, 0x507478f9, 0xb0e4f45e, 0xbe5ffc23, 0x83894064, 0x15860de6, 0xd61f50d3, 0xce1134db,
+    0x089fcb29, 0xbf884164, 0x47075112, 0x9c21e8ff, 0xd20ab4bc, 0x943a6eb1, 0x322e370a, 0xb1168869,
+    0xe4e5506a, 0x989ba9d6, 0xd95fef2d, 0xdf48d6c4, 0xa3346f51, 0x2c1d55d3, 0x50372c87, 0x689eedc2,
+    0x13924a42, 0x64e4f2cc, 0x8701d53a, 0xf7e5f28a, 0xffba60c3, 0xfbae1a21, 0x737dac78, 0xe77bc6d5,
+    0x494f70cf, 0x4a330b01, 0x521d7e82, 0x2d547a2a, 0x715102c1, 0x38b79202, 0x79048587, 0x398f97b3,
+    0x09c2c8c4, 0x8d1ccdd9, 0xfc731904, 0xd9d93cb3, 0x35f63948, 0xc4851d64, 0xdaeb0e18, 0x36c5564c,
+    0xa02e0753, 0x6ba98ffe, 0x0476f435, 0xfe075139, 0x7e7d4f6d, 0xadc3b610, 0xb01b4146, 0xa0c2c871,
+    0xb441818e, 0x78e9b766, 0xd9def293, 0x1e3d5151, 0x187c80e1, 0x815cc077, 0xe10c333b, 0x5fd2db5c,
+    0xd52b676a, 0xd6448aa3, 0x569a1358, 0xc2dcc79f, 0x8d6f99c4, 0xf12c6fe0, 0x358697ef, 0x90ec8be8,
+    0x46b427a2, 0xc40bb498, 0x50f95043, 0x466a25b6, 0x8cd4e96f, 0x772bf99b, 0x09536b8d, 0xe0eb3cde,
+    0xc8907f38, 0x2dffd720, 0x8597f754, 0x0af2ab86, 0xca95dc88, 0xa24d9c79, 0x9b624059, 0x71fae53f,
+    0xb2763c31, 0xe9245852, 0xecc6834c, 0x730f2f33, 0x20b9c189, 0x24efa156, 0x01810042, 0xce156445,
+    0xe0c05df9, 0xf8336099, 0x1a5d8fe8, 0x17f5baf7, 0x8671610e, 0xc8cf6263, 0x5dd37668, 0x9dd26f2c,
+    0x7166c445, 0x1d8edbbf, 0x9461b521, 0xa7c5b08c, 0x98d3efc6, 0x88d368ac, 0xfecc19e1, 0x7d39d741,
+    0xc1ff3d55, 0xd8775054, 0xbdd88988, 0x30da2e8a, 0xd9bb276f, 0x361a4704, 0x86a65d7e, 0x4c7ae35b,
+    0x710631ea, 0xa2567978, 0xcdaf8c7c, 0xf6f3d528, 0xf1c553f6, 0x4481c816, 0x65a33364, 0x3ba73740,
+    0x59c3d1df, 0xb15be626, 0x77a8c547, 0x8ab78408, 0xa7fe2120, 0xc75f3d4a, 0x796f3fdc, 0xdc406060,
+    0x827e647d, 0xce364696, 0x768f8468, 0xc12fa9b8, 0xd4b59718, 0xad48bcc0, 0xf36da47d, 0xdec98ac6,
+    0x929534dc, 0x8932db22, 0xa7942031, 0xc2e930f1, 0x219b1a66, 0xc6988969, 0x80db1657, 0xd8aea065,
+    0x8bb2b2d6, 0xede39ef9, 0x9022c8b7, 0x8f377c0e, 0xd6a2b0fa, 0x3ede2b88, 0xa3747e03, 0xf562e16a,
+    0xdeba3032, 0x73bbda04, 0x759f5db9, 0x237f2110, 0x6695420e, 0xe652dbc3, 0xc593cea1, 0x450f7fc6,
+    0xff585c5a, 0x664c0458, 0xcfde5ee0, 0x308f81e4, 0x55655566, 0xdc0947f8, 0x6fc0afaf, 0xfa598382,
+    0xc6528fb4, 0x7546d88f, 0x6018b0b4, 0x71298aa0, 0x7ca0f833, 0x430be397, 0x9e76d9b8, 0x8ccd8b80,
+    0x0b94cb22, 0xb95ade86, 0xcd75952f, 0x47b56ed1, 0xeed1c241, 0x336eefde, 0x7061c16e, 0x0e1c0229,
+    0xe9124697, 0x5136ce49, 0x79de8322, 0x2c91176d, 0xdf41c4f6, 0x8be39ad7, 0xdee28e99, 0xfbdfc859,
+    0xcbdbeb95, 0x43456583, 0x8b2a1beb, 0x36060d82, 0x59c8e8af, 0xa56508e6, 0x32bfe47f, 0xc5f26d56,
+    0x95342c38, 0xac217702, 0x098a92f8, 0x7a3534ca, 0x81657dd0, 0x9df65a40, 0x2ed98430, 0x1cfac8db,
+    0x97a6bcc7, 0x91b20da8, 0x3f561963, 0x1bc69ded, 0x23d3fbe9, 0xb4bbcae0, 0x07654396, 0x62de0ed9,
+    0xe6333da2, 0xc7d29a9f, 0x1c976423, 0x6ffe6953, 0xe2df0c89, 0xe14a12a9, 0xeb484371, 0x8edad538,
+    0x9526bb4b, 0x500d53ea, 0x147d848e, 0xf72cc56a, 0xeb0311d9, 0x8a892789, 0x3db55b1a, 0x1e035e3a,
+    0x005d1b72, 0x0cae9fa5, 0x10d978a5, 0x28d84773, 0x4034de3d, 0x97107101, 0x6d0b08d3, 0x64355fba,
+    0x07db5c07, 0x09f3d20f, 0x4dd17072, 0x4cceefc1, 0x2de34107, 0x3c42b315, 0x8d0055b6, 0xa942d20b,
+    0x0acb9526, 0xe201f024, 0xeef3e580, 0x7178be07, 0x9eda1e5b, 0xe1446c16, 0x6dcb857c, 0x3c9b132f,
+    0x65d16e40, 0x21d48b66, 0xcd079417, 0x0fe4864d, 0xd1ed562d, 0x8043d6fe, 0xf05372f8, 0xdcdfb179,
+    0x7212377f, 0xfeec70e9, 0x692897ef, 0x8a528942, 0x304a2348, 0x63c7c81f, 0xa6543445, 0xbd911304,
+    0xd194f192, 0xeb93df37, 0xcf16e4a9, 0x18af35b4, 0x6a7f8a8e, 0xf655d4a3, 0xbebf5f2c, 0xf4bced4f,
+    0xf8edf920, 0x084b9131, 0xfdfaaf42, 0x21fcc206, 0xcd17638e, 0xba88bfba, 0xc2906cbd, 0xbeb96d5e,
+    0x853c9f0c, 0x4dda2a81, 0x937627ff, 0xb1f2868e, 0xf18145fb, 0x82235743, 0xfe918657, 0xdca5d66a,
+    0x0772260e, 0xdb28a9c9, 0xc0c9edd9, 0x5843c477, 0xc8d4b8ff, 0xb80321f0, 0xa34f04c5, 0xca394d13,
+    0xc1565cd7, 0xcd27be12, 0xac1bd093, 0x76da4c7c, 0xa888d1ed, 0x5b5d1726, 0x0c718472, 0xe533ca2c,
+    0xe9fb70a2, 0x67ddae8b, 0x437d2d40, 0x581e3217, 0xa3a5346e, 0xad4056e0, 0x489d7efc, 0x32e724db,
+    0xeaeaa373, 0xfa58c7d3, 0xc8dab10a, 0x753a8133, 0x7ba957c4, 0x967cd418, 0x98387e21, 0x5e839a3a,
+    0x8d0f1baf, 0xbde694eb, 0xb374560f, 0x93bdca62, 0x6cda1106, 0x9006065a, 0xffaa5ea7, 0x37e171aa,
+    0xc0cb7b08, 0xb5bdd755, 0xc9fd7e76, 0xfde13973, 0xaaccd4e3, 0xe588fefd, 0xa73f4a7b, 0x84499e7d,
+    0xef345b7d, 0x32cd8fdb, 0x65ac7a09, 0x9f7c9466, 0x24a8089b, 0xafbb7364, 0x52447e90, 0x612fff35,
+    0x3fc83906, 0x44ace090, 0x4246ce07, 0xee3a415c, 0x358a811b, 0x6fed5584, 0xbe1dfd25, 0x38592e1c,
+    0x81972e17, 0x445d32ec, 0xf434cd7d, 0xbc55e382, 0x2746a8e8, 0x1586ab2b, 0xc25e319b, 0x1f8f371a,
+    0xfea466c7, 0x3253e579, 0x768a6561, 0x6bfdb820, 0xb80a3e24, 0x6a11d064, 0x01690714, 0x670a2562,
+    0xbba524ba, 0xdf1eb20a, 0xd1b62fbb, 0xc5101932, 0x75e95112, 0x88e0de2b, 0x7bfd55ae, 0xb8508594,
+    0x575842a6, 0x48e4591a, 0x1af57dda, 0x9ed8f9c8, 0x0e23cd27, 0xc0627329, 0x00078117, 0xda3e404a,
+    0x7cc72a34, 0xa5d2ba2d, 0x152b2785, 0x2ffce92b, 0x8457ad0b, 0xb38e6e68, 0x1f9df48b, 0x3ba48662,
+    0xfd1e7f50, 0x8f73a2f8, 0xe54b2f1f, 0x0d940610, 0x0621abea, 0xb70cf532, 0xe873cce5, 0x70a7dc81,
+    0x08e7fbee, 0xda2d8e0a, 0x6500eac2, 0xba51cbd4, 0xd78ea433, 0xccf478c3, 0x553dc466, 0x19baf2fe,
+    0xce16d3a9, 0x39da12be, 0xe0752df1, 0x685fbcaa, 0x1cd42c0c, 0xccbb8c85, 0xd361b94f, 0xc4641ed6,
+    0xd245c5e2, 0x0298fa13, 0x710227bb, 0xfe01c4fe, 0xb8fc3a8b, 0x13e5bad7, 0xcc077030, 0x794498ec,
+    0x688ecb72, 0x3025f910, 0x23048198, 0x68fd19b8, 0x23157478, 0xe1fbf1a4, 0x0456b54d, 0xf7ab5e67,
+    0x9ebb7983, 0xfedcffa5, 0x541b3781, 0xd7563646, 0x7afa54f3, 0x3fa69bf2, 0x114e814b, 0x3d57b3ff,
+    0xc77bf962, 0x9d5ecfe6, 0x1203413d, 0xf8aed26a, 0xe6ac613a, 0xc1acef8d, 0x62ed52ce, 0x3c6148f7,
+    0xad6055b0, 0x0dc89b05, 0xf16246ee, 0xfce64b6e, 0x0a3add6d, 0xf9868fa9, 0x561b2415, 0x1b199ebd,
+    0xda821afa, 0xf69f7a73, 0xb92f2c25, 0x9422d2d5, 0x446cf365, 0x65cb1c23, 0x9a93bdd6, 0x6afc433e,
+    0x03204c96, 0x3fe1e662, 0x2835364e, 0x709b504b, 0xbf0dbf4a, 0xb8e68255, 0xd2b7c99b, 0x29acc20e,
+    0x0b7b83c4, 0xadefb9d5, 0x4957d00c, 0x10993688, 0x2a94f785, 0x14da79f2, 0xea9a7443, 0x0dfaaa07,
+    0xbccd5470, 0x73bc3290, 0xa6fc864e, 0x4d29a341, 0x7678c868, 0xae18fbd0, 0x8c62dc6e, 0x205ee0f4,
+    0xacb635dc, 0xa4181e61, 0xff32005d, 0xde08eba3, 0x99b9134b, 0x230233e7, 0x8b97063a, 0x4c1d9c3e,
+    0xed81b46c, 0x2b38bba0, 0x303ae41a, 0xdf3a59c2, 0x997c0159, 0x4458cba5, 0x4c3745c4, 0xa09b5769,
+    0x3e429d9f, 0x6a602509, 0xc1b206e3, 0x0472cba4, 0x3ae5e37b, 0x0515de10, 0x37aa08c4, 0x365d610b,
+    0x65c7f459, 0xbf3035f0, 0x278ab6cb, 0xd6079ab5, 0x75ad6252, 0x5d77e746, 0x44d3551a, 0x5ba2ff24,
+    0x23119906, 0xb1b83343, 0x426a2190, 0x486ac836, 0xa2f6aa01, 0x47f60044, 0x559f5b7e, 0xac865e6f,
+    0xc1e901ee, 0x7e81af6d, 0xbebb93b8, 0xd8100f18, 0xfd05b556, 0xc75a5d75, 0x0aacae3c, 0xb28930d4,
+    0xfbb8dff6, 0x884ec2f1, 0x6919d4fc, 0xcbcf5108, 0xd37c8365, 0x21d7bb66, 0x675bdf74, 0xcf320038,
+    0x45009534, 0x0a3e5a22, 0x65a27a12, 0x45abc91a, 0xde332802, 0x107a0785, 0xaae58b23, 0x741e621f,
+    0xe8c5c918, 0x3bba1aef, 0xdfb20cdc, 0xb15102fa, 0x3912792a, 0xb3d62aa1, 0x32a65cb9, 0xa94ff872,
+    0x9455da9c, 0x97670fd9, 0x0666e23c, 0xd390d479, 0x1ae4293e, 0x3572a62a, 0xfc13be7d, 0x7bb0f889,
+    0xddcb03cc, 0x833a692c, 0x3b8ac2c2, 0xbef4dfab, 0xaf5cc617, 0x472f3348, 0x3c07e7a9, 0x0faa8fcc,
+    0xe5655ed1, 0xc80f602a, 0xefc95448, 0xf0beef8b, 0x525a6b26, 0x2fd75589, 0xb56b70f3, 0x872590f8,
+    0x3bc91bf3, 0x029a81b0, 0x96db3ca6, 0x66ca8fcd, 0x0c0caf4c, 0xa6e0646c, 0x18d642ab, 0xe35c761b,
+    0x11052b79, 0x5e7b6851, 0x5bb3b2cc, 0xd7e64a34, 0xf5e0f591, 0x0e5bb811, 0xb9cb5f43, 0x2fd1c59d,
+    0xe8663770, 0xd5b50a5e, 0xa5d6a516, 0x1be765fe, 0xf3ddb24b, 0x5604f5f5, 0x032e594a, 0xe198a2ea,
+    0xe24758d2, 0x6be70e40, 0xb07345fa, 0xec6181be, 0x72ed2445, 0x3b896b2d, 0xf20dbfc4, 0x5b3fbb89,
+    0x70a13a9f, 0x909e927d, 0x5c6470bf, 0x2fe4ec7a, 0x40f48e15, 0x4cc2c9ff, 0x217bf66a, 0x54e29cc3,
+    0x1095c822, 0x390f7545, 0x64768ace, 0x8e8e98fa, 0xd07e427c, 0x1c9b5a51, 0x829378dc, 0x2ca07628,
+    0x5eb6bcea, 0x97f85feb, 0x184bdd24, 0xb0e0bfe9, 0x7a3ee126, 0xdd0a91ed, 0xc4e43346, 0x0946a34a,
+    0xf42d0d81, 0x9a432c31, 0xcc813dfa, 0x33cb78bc, 0x3bc19df9, 0x550d1633, 0x6a25fd74, 0xf1c2e326,
+    0xd171630a, 0x180d7775, 0x07ebd8dc, 0xbd4208be, 0x42a18802, 0x949538e9, 0x98615f64, 0x698c2fdb,
+    0xdd612fb9, 0xf7990ac4, 0x2249e280, 0x7ee7e0b1, 0xdd12e04e, 0x2331f987, 0xa58f7111, 0xf913d0b2,
+    0x21ff11fc, 0x338f2809, 0x76e8430e, 0x40fa228c, 0x1a347fff, 0x87fe116d, 0x0384b940, 0xeba0470b,
+    0x6f1da99a, 0xf71eca5d, 0x89e99c50, 0x0d2e4ff0, 0xabef346b, 0x8ad0de2a, 0x2631a324, 0x5e23246d,
+    0xf06b2277, 0x04cf497f, 0x8dc5d2ca, 0x6dfa2e07, 0xdcb94fea, 0x9d400d65, 0xb9e72bc8, 0x0666dde7,
+    0x8b716d11, 0x28345d27, 0x020456fe, 0xdbbdb236, 0x9f90df97, 0x4f339d96, 0x7851e9c4, 0x97c90bb7,
+    0x02130651, 0xbf06519c, 0x9fa46bf8, 0xf8f0bea2, 0x3e62985d, 0xe2bfcd5a, 0xcaf685a6, 0x2fbef8a9,
+    0x0ab176ad, 0x78560c9f, 0xab650657, 0x17b9db97, 0x5a038ab5, 0x49abd2be, 0x469cd3e0, 0x96744307,
+    0x4668c21f, 0xd6d6fc64, 0x78a7e7d2, 0x93de3700, 0x93f6d622, 0xd6b7570e, 0xcb08bf70, 0x925931f6,
+    0xf1b7129a, 0x91270565, 0x87b6c9df, 0xff058a08, 0x9bc21bd8, 0xa8bf3edf, 0x87dda680, 0xfd8dd2b5,
+    0xf6333383, 0x2f350db6, 0xfcd68a3a, 0x2c7d2347, 0xd6d4f05a, 0x4156756b, 0x86d46e96, 0xc969a424,
+    0x47e0829f, 0xdac0b37c, 0xa13edf66, 0x10e0d68b, 0xf83452fc, 0xd4446e90, 0xe8e4d873, 0x1ff21f69,
+    0xbdeb74ad, 0x964575c9, 0xe716440f, 0x803e3b16, 0x1d5d6c09, 0xa1367e50, 0xf1643fe4, 0x2c27b405,
+    0x5eab7935, 0x74d98206, 0xdd7f2d43, 0x5fd8c30b, 0x73a48e35, 0xe0b2b015, 0x79ada42e, 0xf4f8d013,
+    0x929a4581, 0x50c87a27, 0x5829130c, 0x03772cbe, 0xc0d09fca, 0xa84dd6de, 0x90005cc5, 0x094b271c,
+    0xb790d37a, 0x1b6c2e79, 0xa4b5cd77, 0x44a7f3b9, 0xc9182b52, 0xca3e6e0c, 0xbbba8248, 0xa7068dd6,
+    0xe74e3bfb, 0x30a4df3f, 0x25862de0, 0x7d776bc0, 0xe68cfedf, 0xedb1474a, 0xde4a5917, 0xeee1aa8e,
+    0xaf179448, 0xf1fc71c6, 0x860601a8, 0x61d9e5c7, 0xf0caaeb5, 0xf72a8c36, 0xaff50251, 0x497fa615,
+    0xefa781c0, 0x99d6d010, 0xffc4ab80, 0xb32fdc88, 0x7226039e, 0x1e43befb, 0xe3c11f01, 0x79f2815e,
+    0x34751319, 0x94b0e213, 0x624505e9, 0x5d48cc6b, 0xcf1de601, 0x2d51fe27, 0x67712d56, 0xf0f9bdf1,
+    0xa1e91219, 0xe6e58cb5, 0x76809284, 0xb016ee0d, 0x6db7c2ba, 0x90c2e929, 0xe2fbc9b1, 0x2cb2ffbf,
+    0xdc859462, 0xe58015dc, 0xa2e2e0bf, 0x36dd0cd4, 0xd7979c07, 0x311d8e1b, 0x22497a5d, 0x34499835,
+    0xb1317a8d, 0x4878a5b8, 0xe81b8f34, 0xa7088b39, 0x26031ca7, 0x7f67644a, 0x8560ffd1, 0x2d44988a,
+    0xe2530038, 0xf5fcad65, 0x0d3cf3d1, 0x35142b5e, 0x4ace864a, 0x63c424cc, 0xcc4fc599, 0xb00fc8d9,
+    0x57e13ba5, 0xa2408885, 0xd2973a86, 0x804d9c08, 0x28ed3f58, 0xbaabd52d, 0x389b5d50, 0x4b86d0d0,
+    0x268ebbf5, 0xf8c29cf4, 0x80583f56, 0x9062fe56, 0x2b7f5e1b, 0x59680998, 0x58e32de8, 0x7faa8498,
+    0x365813c6, 0xb00207a0, 0x9803cf6a, 0xa3eb7825, 0x0c2045fd, 0x50e56e7b, 0x75d8261c, 0x9af47ed3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000021778071482940061661655974875633165533184 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048059, 0x28125992,
+    0x00000000,
+    0x9c533f66, 0xaf3188cf, 0x7d663f09, 0xa5f29161, 0xb0111bb0, 0xd55dd5cf, 0x52e6b690, 0xf2b06917,
+    0x5d7f15d0, 0xfebf26af, 0xf89e9120, 0xdd521d3d, 0x3c71a98a, 0x5ecbd8cc, 0xf5625410, 0x6960bb51,
+    0xdac0b956, 0x3599cbbe, 0x74440df7, 0xeb1b0096, 0x27ffaee4, 0x3830b441, 0x37c6de0a, 0x4a39723a,
+    0x9354eba4, 0xa35b35bb, 0x892b17fd, 0x67cd08f0, 0x91324949, 0xbba38d67, 0xa39f9a2b, 0x297e63c7,
+    0xe0c5f4a0, 0xc907a839, 0xb33244cf, 0x39ce890a, 0xf8285935, 0x1ed55b01, 0x5bfd668d, 0x440cd452,
+    0x17e76a46, 0x29d6adfa, 0x7429b3a2, 0xdef4411f, 0x300fdc16, 0x58c390c0, 0x1c99d051, 0x14e85b1e,
+    0x7c0921e8, 0x3bceb6fc, 0xdd0eae21, 0x89aa42fa, 0xa978f113, 0x35509bea, 0x67db5cf6, 0xec1b9f20,
+    0x71d6ac4b, 0xdbf32508, 0x50e319c0, 0xbf6302c5, 0x1c92103b, 0x6bdc96aa, 0xea28164d, 0xc9a5e2af,
+    0x98d0fa91, 0x68a0059d, 0xc471f60d, 0x725e130f, 0x2884f69d, 0xa263e71e, 0x7cfc1bc2, 0x3ff5c3a7,
+    0xd90b29b3, 0x1ca655c2, 0x38985b54, 0x6cd76360, 0x4581ef98, 0xfa970068, 0xdd6c5518, 0xe404e1c4,
+    0x3fbef164, 0x5a7c974f, 0x89e55c8e, 0xbab57e3d, 0x41b378e6, 0x68b2840b, 0xdf594b68, 0x02252f08,
+    0x0af55f4b, 0xa37364b0, 0x344e1844, 0x391107fc, 0x7c243013, 0x039b4c5b, 0x5e90f82d, 0x1235df65,
+    0xd826ad04, 0xc7a2afa0, 0x31dc7044, 0x6c1bf137, 0x07783ace, 0xe17c04eb, 0x99320c92, 0x2f8a61c3,
+    0x10af4c0a, 0x3b723377, 0xfcf715b1, 0x34511ff6, 0xd7667ec6, 0xa781b736, 0xc7ae49cc, 0x879b4aed,
+    0x0313f8e5, 0x2524b7f2, 0x83bdf580, 0x97f7429d, 0x7b27fd51, 0x75614a31, 0x5e9ed3a2, 0xe721ceda,
+    0xdbef41b5, 0xa3fa9963, 0x1cef182d, 0xa4fc3045, 0x07e4f376, 0x071c7cf2, 0xcc9b9469, 0xf52920af,
+    0x4607d74b, 0xf933fa60, 0x12a7de7e, 0x321d694c, 0x82cc279e, 0x14dc1a0c, 0x2dd59edf, 0x6bea8920,
+    0x5670a85a, 0xc85805f6, 0xfa6e1ec7, 0x703647d6, 0x002dcdb9, 0x1d55f6a8, 0xd79340b4, 0xd22a4108,
+    0x922f6494, 0x3679b3ac, 0xf06cb192, 0x1954ef89, 0x1fabae52, 0xf83956c3, 0x1307bd08, 0xa55d178e,
+    0x6bb1c229, 0x70c92028, 0x0327e519, 0xc4104924, 0xe0956fee, 0x6a5f5d66, 0xf474cd59, 0x5f753b8e,
+    0x5d124ae4, 0x2563cb11, 0x5f76f78a, 0xbc457fdf, 0x544daa4b, 0xadd368d8, 0x9a1ba09b, 0xc5a61912,
+    0xfb8fbc71, 0x823dc677, 0x82b276b4, 0x63eb37ba, 0x072b7157, 0x713e08d6, 0x19196b68, 0x2ee5f8cb,
+    0x28c0db87, 0x96690300, 0x0d7bbe23, 0x0142ee33, 0xc2760783, 0x21f595d5, 0x70980aa7, 0xc0b47a92,
+    0xf1b85f03, 0x2bab8470, 0xd739931f, 0x3d16820a, 0x72996fcf, 0xe5585209, 0x213880e9, 0x832bd6e2,
+    0xe66f81cd, 0x8e06fab1, 0xa3c3fa90, 0xd4ac2015, 0xfd70375d, 0x13f8b2c2, 0xde11c857, 0x88c40cfe,
+    0x3b9a4508, 0xc1b9f959, 0xe16e8b14, 0x2b96b823, 0xd2e56ee7, 0x6bd60ea2, 0x31bb0bf8, 0x2e496c5e,
+    0x20af469b, 0x68113abc, 0x8f8dc025, 0x5f7c9fc2, 0x4fe7c58f, 0x890235b2, 0x9c11c4fd, 0xe175673b,
+    0xb6ba2c89, 0xd29741f7, 0xbce50559, 0x7ac38702, 0xfc605178, 0xe89cacd5, 0xc2197551, 0x8015182a,
+    0x8f493ae1, 0x1547cc78, 0x75fd9f25, 0x4f26c955, 0x551ac614, 0xbc143c15, 0x48fada96, 0xf7ad3cf4,
+    0xd594ab9b, 0x3a75b1b7, 0x9a42dee9, 0xdc9ad870, 0xc7de0c2e, 0x776caae3, 0x417c9b41, 0x66a6be88,
+    0x421561c9, 0xa53ab0a2, 0xaa4d1812, 0x4b92e530, 0x4b9c8280, 0x5709ad1e, 0xe636d99a, 0xf550fa5e,
+    0x80a994e1, 0xa05d9e22, 0xfb1ea279, 0x36fe18b2, 0x8f45296b, 0x2903670a, 0x85ab2b41, 0xa6493659,
+    0xa1f97a81, 0x0824e006, 0x13376b63, 0xc40a507e, 0x78ac8f05, 0x9d29209f, 0x95fd43cc, 0x0ddbe868,
+    0x40f3ff45, 0x00681048, 0x68a3e03b, 0x267292d1, 0xae4ad560, 0x73f9c0f3, 0x08d8d2a4, 0x86ea2b03,
+    0x826e6754, 0xceb6d71b, 0x1fbf2cd1, 0x9c4a38b0, 0xc861d4dc, 0x94f55419, 0x8e8cd1fe, 0xf6b36931,
+    0x988221d0, 0xef3d5101, 0x0c647696, 0xca8052bb, 0x371ded8c, 0xdc16772a, 0x47993126, 0x13223f16,
+    0xe15153c1, 0xc355a007, 0x4aa924e8, 0x7bd0c8dc, 0xfabc815f, 0xf7bd7b11, 0xd378f8bc, 0xeb4a184f,
+    0x81bd2ac2, 0xfb748e67, 0xe6cc247b, 0xda175ec5, 0x068f9325, 0x174b5e8b, 0x6d65a79e, 0xc15b2abb,
+    0x7bdf8446, 0x088a2a6b, 0x668de910, 0x6fbe19ac, 0x714914fb, 0xe2b3231f, 0x8f79ee5c, 0x74e0e501,
+    0x9081fdf0, 0x5ab4ce15, 0xcf1c3f3f, 0xd2e3f48d, 0x12c5bba2, 0x2f168ee6, 0xff1ee7f2, 0xe97b1726,
+    0xb88ba7f7, 0xb8e2efef, 0x3ad0a36b, 0x74fe8f90, 0x083180c4, 0x4665d1ba, 0xbee8ab19, 0x0e4b51f2,
+    0x2b67b122, 0x26bbdf6e, 0x546f151e, 0xa46c6464, 0x1a971905, 0x4a2798b4, 0x4784b6c9, 0xeb12511e,
+    0x57ed197e, 0x9905b0bd, 0x8b18f137, 0x77f9b382, 0x6afd364f, 0xbafa5315, 0xe10c1bfe, 0xe7fe9ceb,
+    0xd84181bc, 0x20d035cb, 0x2ae14cc3, 0x20a45a88, 0x29838d9d, 0x75834b5d, 0xf38f669f, 0x35627122,
+    0x17ec763f, 0x9b4acdc3, 0xf84355cb, 0xf711c141, 0xc474591c, 0xf57200ec, 0xf153e5ef, 0xe1218546,
+    0x549ddfd6, 0x783f6331, 0xc064088e, 0x7d965702, 0x3d9438bd, 0xa7da23b8, 0xb8f2367c, 0x30782278,
+    0x7513e1ce, 0xc3a0ad16, 0x202f6d4d, 0xfe577010, 0xac89f013, 0x45b3c9b6, 0x62cbe8ed, 0xd46b8ec6,
+    0xe3d3b22b, 0x3bb5e579, 0x023f65a3, 0xf3894c87, 0x834d5bda, 0xd90d1edd, 0x5b814339, 0xc8c37627,
+    0xa58aa5b6, 0x3ceeb87f, 0x75b219c2, 0x5d12cc84, 0xbd7782a6, 0xff710d73, 0x23ecbf55, 0x439fc669,
+    0xe2a49dcb, 0xe25b0be2, 0x20c65713, 0xfccad88e, 0x9d79df01, 0x5772540f, 0xecaa111d, 0xe75151d6,
+    0x3e9279d1, 0xa58b4fda, 0x535d451d, 0x6d939f6c, 0xe77fafc4, 0x1c420b28, 0x46bf2b30, 0x9aaf52bf,
+    0xc21febf6, 0x49758bfe, 0x1e088c57, 0x710d253f, 0x6db53e2f, 0x4b7814bf, 0xff1c4522, 0xad63783b,
+    0xbd9ad313, 0x739b7f5f, 0x7364a3ef, 0xe640abc0, 0xc635da9f, 0xe6d2d9e0, 0xd85f45a0, 0x5ee78383,
+    0x4191c49b, 0x7370dacf, 0xa67445b5, 0x60caf092, 0xa9d59fa6, 0x278f4bd0, 0x0f6d42c3, 0xbe05abac,
+    0x79b2731f, 0x719fa16c, 0xf828e52f, 0x232ec73d, 0x57b4ad06, 0x7f158ca8, 0x7a76021e, 0xab73335b,
+    0x9d063887, 0xc81d3a7f, 0x21a83d7d, 0xdacf4f52, 0x4d732b77, 0x554674e3, 0xc33eee76, 0xbca3ceb9,
+    0x9d2d84d2, 0xf82b3b35, 0xc605e665, 0x71a30b26, 0x75eb52c4, 0xd771ce0b, 0xad3e3b2f, 0x25e63adc,
+    0x63d86ae8, 0xa0374892, 0x2b2a4de8, 0x37997323, 0x9c39b76f, 0x30128fca, 0x4d74aefb, 0x0c2cfda1,
+    0x2886d035, 0x8a3fd140, 0x8f0b4ded, 0xb9a728ef, 0x33634c4f, 0x7703b047, 0xdccd8125, 0xd14f350b,
+    0xa9c1f557, 0x7bd530ca, 0x1c5542d6, 0x8b849d85, 0x3595285b, 0x97779405, 0x569e0df3, 0x24b46b09,
+    0x6aec5eff, 0x17e5322b, 0xda7c51a8, 0x364e2fdb, 0xcd52ac22, 0xaa52d1ef, 0x2501c5a3, 0x1b8b10c2,
+    0xb0ded759, 0x10b51752, 0xc06a2469, 0x4d29a1a6, 0x85275e02, 0x1a1fab59, 0x76af8e1f, 0xf93674d6,
+    0x9b91093a, 0x936cccb1, 0x2d2ac5ff, 0x093edbd8, 0xa920ecc4, 0x98ff867e, 0x815ee026, 0x16db5383,
+    0x67c3e2e3, 0x1ad24012, 0x967460a8, 0x4a38c119, 0x33096911, 0x223f5ab2, 0xc6de3974, 0x9d37957b,
+    0xdb5cd07a, 0xfe733172, 0x1200ab44, 0xa2589e4d, 0xfc131f60, 0x16b7e4d0, 0xfaf894a7, 0x5c4e17c0,
+    0x82b17ddf, 0xfe03ee29, 0x48526a97, 0xa67bc83c, 0xbc1fb8d0, 0x78b42aa0, 0xe20b2443, 0xcf16853b,
+    0x70c17b25, 0xba17eb85, 0xace2fef3, 0xbe58861c, 0xbc71d39c, 0x1563d6ae, 0xad0c28ab, 0x6443549a,
+    0xdaaafde9, 0x851f6bb1, 0x8391d792, 0xddc24ff9, 0x6af921f4, 0x06828f0b, 0xcc7ac708, 0xb249e3aa,
+    0xacd76886, 0xcb272bd3, 0x5b47db61, 0x2f0149df, 0x72e500f8, 0xf19e67e1, 0xc610a029, 0x6ec7d26f,
+    0x1676e2f1, 0x9a0dc491, 0x8c4ba5c5, 0xc3bde01b, 0x019e6c07, 0x7af4c998, 0xc70288d8, 0x07929533,
+    0x76ee688a, 0x677a9022, 0x045728db, 0x578956ac, 0x25dcf581, 0xb80e9b76, 0xaa4a1821, 0x4583983b,
+    0x913ceb00, 0x2c53ee3d, 0xd0a377c5, 0x0c905b10, 0xfafc09d1, 0xa8a3fedb, 0x261c8659, 0xfb573ff1,
+    0x93755ce0, 0x3203b413, 0x2da7974e, 0x4e531f08, 0xd8060e9c, 0x2f5a055f, 0x4a4376f0, 0x690b9911,
+    0x14ad4d8e, 0x56b013fb, 0xb215593c, 0x4440c4ff, 0x0c4e7f75, 0xaa993c61, 0x29e61ce0, 0x59816a3d,
+    0xb3cae027, 0x8d87c00e, 0xe1b9f5e4, 0x5cef23cb, 0xcdc0798d, 0x094da0fc, 0x1cba0b6b, 0x44ac18e3,
+    0x1986112e, 0x8178e13b, 0x2ea0fb72, 0x9e75886f, 0x43562e78, 0x25b355cc, 0x7150c8d1, 0x0058e96e,
+    0x14f1b664, 0x97070763, 0xdc3e3390, 0xfeb9b7ca, 0x6b180b3c, 0x3c6542e7, 0x2cb90944, 0xa4a5776f,
+    0x0bc12fd1, 0x79f6eeda, 0xef49f036, 0x4fe4a414, 0x69dd21ed, 0xbd753ff4, 0x73367bf2, 0x1cf420f9,
+    0x521d82fb, 0x75672be5, 0x246ffeff, 0x48132264, 0x7d55729d, 0x061e5269, 0xf83d39c0, 0x1ac43064,
+    0x1fcfe2cc, 0x5f41865e, 0xa62ce143, 0xccb406d6, 0x82505250, 0x15d0375e, 0x60d89712, 0xd6130228,
+    0xdb78fb34, 0x0a6800e0, 0xf1debd18, 0x070d3885, 0x689c1cdd, 0xb1d47d49, 0xd9f21ca5, 0x8b8dffcc,
+    0x74afebb1, 0x5d05f6cc, 0xf89d4908, 0x52532b32, 0x9d86abf2, 0xe2c872bd, 0xbcac1974, 0xced32562,
+    0xf9caaee6, 0xc4cfdfa4, 0xb5614aa0, 0xdf970697, 0x3ff37176, 0x88a98d1b, 0x31ce8824, 0x36fa2f5e,
+    0xf8834de2, 0xae907dc8, 0x72ccb4a8, 0xde4ef342, 0x9afbf5bd, 0x56405f49, 0x2625fbbd, 0xd6b6782c,
+    0x040381ef, 0x9199e5cc, 0x24d290ba, 0xe890c369, 0x183685f7, 0xa8350bbe, 0x10a5aa05, 0xa55ee7b8,
+    0x922a2a3b, 0x833998dc, 0x29345efb, 0xcd9dc22f, 0x13f9aae2, 0x6108dd21, 0x5267a53d, 0x9f141cb9,
+    0x56fa7b94, 0x71882ac8, 0x849be2e0, 0x21130e2f, 0x713412c9, 0x930b77c4, 0xe5fae194, 0xb942575a,
+    0x2d5271e4, 0x77a84556, 0x9673da9a, 0xea91199b, 0x8a2c4ab6, 0x320fb536, 0x0c04f143, 0xbe649d15,
+    0xf6f0f77d, 0x1dab4213, 0x2834c4d1, 0x02e6f743, 0x2a79747c, 0xb8141eef, 0x661c43d9, 0x510879f2,
+    0x26cfed39, 0xd84ad736, 0x1fe3aeea, 0x34c1f551, 0xe004a362, 0x24072ec9, 0x87fad46b, 0x32b88c3b,
+    0x41fc30c7, 0x47ab5f0d, 0x0f19dde9, 0x409e0d7a, 0xdfa746f1, 0x7fc44c88, 0x3531cf54, 0x0a8f41d6,
+    0x7e0f5da7, 0x639d88bc, 0x68d5e41c, 0xd02d31f7, 0x00c346a0, 0x0fd5f24b, 0xf2a8ba6d, 0xf391568f,
+    0x0236fdb2, 0x4d9557d1, 0x765360b9, 0x2dbf891f, 0xd14887e8, 0x55efe912, 0x7f9e7493, 0xd6b01eb9,
+    0x5f8b61fd, 0x5c460e12, 0xdeb7a27b, 0xff2e50ed, 0x72a0fd74, 0xeff679d0, 0xca72484e, 0x69f57dfb,
+    0x8b976108, 0xaa5fa34d, 0xd9ee30a7, 0x79ce6b0a, 0x995d7bc2, 0x8b05412f, 0x228a32a3, 0x1763d403,
+    0x44e8e3e9, 0x4a55d4bc, 0xd009304e, 0x69bc3041, 0x7ed26603, 0xd2570f33, 0xb4d0309b, 0x3d6148de,
+    0x38a702f4, 0x58145d90, 0x2079f1c4, 0x77527ad2, 0x69e60fa3, 0xfd8ba41f, 0x0fc3e643, 0xa087f0e9,
+    0xbaaa25a1, 0xcabb7b9b, 0xc21e665a, 0x16e50e63, 0xf62542c2, 0x06c6917c, 0xe711a738, 0x1f119f2c,
+    0xde359df1, 0x719bd42a, 0x5feb20ec, 0x2de06a0e, 0xa69c4969, 0x830574df, 0x40def1e8, 0xc11f5b29,
+    0xfd3cb83c, 0x44e803a6, 0x1ab250ed, 0xe243b44b, 0xa7c35543, 0xc3a95b40, 0x2d596a4a, 0x23d9089a,
+    0x8d0b6ef4, 0x87b1836b, 0x8b331664, 0x9ac4177d, 0xb8d1db14, 0xd432252e, 0xb3ab18be, 0xa1738db5,
+    0x3d99786c, 0x7a74c310, 0x03bce571, 0x78d82a4e, 0xeff8e423, 0xe921124e, 0x6b946cd5, 0x90d90869,
+    0x32ab4d8c, 0x69ff698e, 0x2d3c530e, 0x9e73c2d0, 0x7d87e472, 0x476629c1, 0xeaf67151, 0x83bfa9a1,
+    0xd69c45c4, 0x8ba9fe8e, 0xb54ebdae, 0xfe33df26, 0x407424c0, 0x456f056c, 0x776dcd0b, 0x02b14481,
+    0x46c4cbb0, 0x58c97474, 0x9cbc95e0, 0xc5e61176, 0x10679f7d, 0xb93975e3, 0xaa1191c9, 0xff1cacfc,
+    0xb499b3a6, 0x07ab1ff6, 0xb7de302a, 0xbd66598f, 0x85dcd4ed, 0x18ec7300, 0x4a2d54c4, 0x09338f67,
+    0x0ec04e2a, 0x43daf88f, 0x82af4e17, 0x5417711f, 0x1e1a0b70, 0xde5cedb2, 0x6b6ddef4, 0xb77f4ee9,
+    0xbc3326a1, 0xcdee6947, 0x33a67a81, 0xbb61b395, 0xd797b3b1, 0x4a615b1f, 0x148310c5, 0xeb765f0c,
+    0xbe1edaba, 0xd098211d, 0xfc71be7a, 0x2ee5a783, 0xe2fdf0b2, 0x67d10030, 0x9d8239c5, 0xb00f1401,
+    0xd481070e, 0xfca6891a, 0x599dbb7e, 0xc32ebf8d, 0x96cbf3e6, 0xa03fd105, 0xfc916726, 0x7faca198,
+    0x4a0ae5ba, 0xa37375a1, 0xebe29a69, 0x0ca4e619, 0xf00fa60f, 0x7efc8e8c, 0x27fd6f4a, 0xd38f4881,
+    0x36dab8cb, 0x83e69f8d, 0x001169c7, 0xd9e0776c, 0xd20fae2a, 0x897f5004, 0xb7cdcc58, 0x36475f4c,
+    0x4b7d099e, 0x7e8d4adf, 0xc48f0019, 0x92a1b178, 0x15c9a13c, 0x0c3d0776, 0xeacccac7, 0x2d3986a0,
+    0xc29f9366, 0x363ff19b, 0x62f3a5f0, 0x27419328, 0x8faf6272, 0xe5030f36, 0x05a84d3c, 0x0edc5be8,
+    0x00735a9c, 0x537b6e9a, 0x8c5b5f7e, 0x5659fb37, 0x95c4bc41, 0x6d5de4a1, 0xac6b9517, 0xf7282af4,
+    0x1eb088d5, 0x9ed093bd, 0x0f52e57f, 0xc6d80d59, 0xbc6ef6ef, 0xb83346da, 0x5698b17d, 0xf701d97f,
+    0x66b9e4d2, 0xc099f2c9, 0xfff9d578, 0xa482560b, 0x5d3cd076, 0x34ce61ec, 0x0c1204b3, 0xe4c40b3f,
+    0x26dba80f, 0xe0faf168, 0x076fbd57, 0xe72d1983, 0x56a86c0f, 0x7d230998, 0x13b71549, 0xdf8a2521,
+    0x29624cc4, 0x5068b597, 0xeb314074, 0x2ef30b62, 0xfe5abb50, 0xfd8940c3, 0xcd44533e, 0x00d79857,
+    0x2f23b6de, 0xeaa72a19, 0x0a911bc2, 0xb3402849, 0x5f9152d2, 0x0bc9bd42, 0x3e8a2fed, 0xe17c1493,
+    0x9365097e, 0xd5b6fba1, 0xdfc6b3d3, 0xa270d7da, 0x51a7b420, 0x7a592a7f, 0xe7051bf9, 0x4b1a01f1,
+    0x268a865c, 0x0d9e7aa3, 0x89746a63, 0x38173039, 0x4e655969, 0x6f00988c, 0x6bd4e974, 0x224b0a47,
+    0x0ff469c0, 0xafd0df59, 0x3e101ee0, 0xba6877bb, 0x2258295f, 0x2d6c68d2, 0xcf096b90, 0xd54d100a,
+    0x4698a837, 0x55a477dc, 0xaf90f105, 0xd509a480, 0x8aa818ec, 0xce53c9c7, 0x15a9e7c3, 0xd670a895,
+    0xe83c2879, 0x3ce74869, 0x3ad9c72c, 0x5595396b, 0x9c1d822a, 0x2688b9b9, 0xeba6ec91, 0x02852d1d,
+    0x4f086d1b, 0x152296ff, 0xff41d9d5, 0x7166a64b, 0x786fbeb6, 0x10843092, 0xb5313932, 0x66121c5a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000010889035741470030830827987437816582766592 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402c, 0x94092cc8,
+    0x00000000,
+    0xc80c5128, 0x4de11717, 0x54d7c3db, 0x43c53292, 0xfdaf43b1, 0x38f92970, 0xeae3bce4, 0x875a9115,
+    0x1d565086, 0x7e208d75, 0x24abd0b3, 0xef28acec, 0x47674d43, 0x77d74704, 0x0e552e11, 0x4336ac83,
+    0x36525f3c, 0xd58697a4, 0xbe7e24b0, 0xa481bea8, 0xce1f854b, 0x7b6333d3, 0x24d307b4, 0xfb93a391,
+    0xb5c4b42c, 0xfb092555, 0x8cbbde57, 0xff45e0b4, 0x0dc2747a, 0xaf4e844f, 0xa252d70f, 0xacddbd17,
+    0x2badac11, 0x697bd2cb, 0xe0970f92, 0xd46be855, 0xf2dfd0c8, 0xcb209372, 0x92163c4d, 0x17f477d4,
+    0xe188b9e7, 0x729d2dcf, 0x4705a3aa, 0xf2b78f54, 0xbc88fe28, 0xcc90bf53, 0xbc7779c6, 0x7a83fb6f,
+    0xd21d088e, 0x08aed041, 0xd2a0b629, 0xf7c71698, 0x325e5ea2, 0xcf7b982f, 0xfd0ca764, 0x6c6284b7,
+    0x1a511b58, 0x14393442, 0xdf764a13, 0x3fd93698, 0x1a452d0e, 0x4b837f38, 0x0da5385a, 0x8ecdf13e,
+    0x3e41b3bb, 0xb6787209, 0x26efba40, 0xedafd3b2, 0xb06d69d9, 0xfa88fa39, 0x050ad5d0, 0x21d2b16d,
+    0x8ef8602d, 0x9a6ff6ef, 0x1af689e7, 0x01afb643, 0xa285a925, 0xfb31ce20, 0xb0678510, 0xa116c6cb,
+    0x8e0eec98, 0x860c6eee, 0x1a69e484, 0xb9fbbd9d, 0x641566c6, 0x9a249e50, 0xe45e411d, 0x98a0dd84,
+    0x75108901, 0x10b34f9f, 0x7ac74694, 0xa010e47a, 0x4a66cb3a, 0xdae73fc7, 0x033f3fbc, 0xae41fb46,
+    0x57685af3, 0x026e880b, 0xc9a644b1, 0x30bd6b1c, 0x791effe4, 0xb6e91a0c, 0xffa7640f, 0x18a5b398,
+    0x87bb8326, 0xf8e951ef, 0x605ea867, 0xcb199e5e, 0x95108050, 0xe522fdd1, 0x59252959, 0xde710e8f,
+    0x5dadd972, 0xcd630e88, 0xb6d2fad7, 0xb096b892, 0x9077422e, 0x41c139f6, 0x27323e54, 0x15fc6b5e,
+    0x253afa9f, 0x2dc9842d, 0x9521a82c, 0x7f3829fd, 0x402b0163, 0xec3ff700, 0x2055b469, 0x2ccfe539,
+    0x0dc5caa2, 0x61640ffd, 0x2f6be37b, 0x750627f4, 0xd475f3c5, 0xc61e435b, 0x4a71454a, 0xcee6c03f,
+    0xec29cd40, 0xbae7353a, 0xbfbd5405, 0x3f02cab6, 0xe80fc7f0, 0x462514d2, 0xc87e7fad, 0x315b72df,
+    0x34a7ea2c, 0x51dcf608, 0x122a91a8, 0x5ddca267, 0xf78fab9d, 0xec718f8f, 0xca322cbc, 0x5ebfbdaa,
+    0x439bd1a4, 0x7a26137f, 0x64a60b89, 0xf0ca5f3f, 0x15f2c624, 0xa5a13b82, 0x7f7208a7, 0x6488002a,
+    0x174df9d3, 0xa5b52ed0, 0x1784e6ba, 0x18b0de1c, 0x5f5ee045, 0xf1df182e, 0x471617ed, 0xedb7edd8,
+    0xdc51973f, 0xb48aadf9, 0xa560eb4f, 0x55335644, 0x06a51a00, 0xdf914309, 0x07c73519, 0x4dca795f,
+    0xf53076ce, 0xf3cf52d8, 0x8211ec6b, 0x39898fb0, 0x3032543f, 0xeb97e80b, 0x0304de40, 0xbc956e69,
+    0x1140a155, 0x34ca866c, 0x347a74d3, 0x502111cf, 0x31c4e53f, 0x33f53124, 0x247e6da3, 0x4dc1fbaa,
+    0xc5ffd017, 0xc4f8ac48, 0xae56fe6c, 0x9947caab, 0x06d0dd67, 0xf7187598, 0x671e3195, 0x32324a82,
+    0xbdbf6979, 0xd574cb1d, 0x3954a667, 0x874787c4, 0xf6ffc86b, 0x6b5a8f46, 0x1e2ef421, 0x7c2f7105,
+    0x41caad4d, 0x47d42294, 0x0fe49ceb, 0x9f2074fe, 0xba01716c, 0x5a3bd239, 0x85c9e492, 0x993556ec,
+    0xb04d4841, 0xd5a6ee7c, 0xb085fb9f, 0xfc5d03db, 0x668200c7, 0x5b5f36fe, 0x9822f0f0, 0x58535b39,
+    0x1a74b8df, 0xe1bacb24, 0xf1bff722, 0x4e8db583, 0x51e55109, 0xe186f49a, 0x4ba23c1f, 0xf285ca96,
+    0x20620354, 0xd39850ca, 0x11438cca, 0x0a4cb71a, 0xb9e3792f, 0x9c37ce2c, 0x69fce286, 0x98f001d5,
+    0xaca1b67c, 0x614a154b, 0x21558cde, 0x4a8911cd, 0xbbdbc517, 0xe191dd53, 0xf17fe8e5, 0x9a53e031,
+    0xf788e64b, 0x0751f65b, 0xf60497bd, 0x909f60d8, 0x562fcf10, 0xcd6143d9, 0x8a05b8fc, 0xa72e9e2e,
+    0x8309a94c, 0x136ee312, 0x1019a39c, 0x3a508e82, 0x5f1f75d2, 0x4c5f7781, 0x77a89023, 0xc98419f3,
+    0xefa5bae2, 0x3932837f, 0x9a127b21, 0x946431c1, 0x7b704327, 0xf7199bd1, 0xe82efb20, 0xccd4a6f2,
+    0x370a6a77, 0x1520d400, 0x06d1a28f, 0x290b20dd, 0xb4d2bede, 0x990c03f9, 0x782d5dc3, 0x39ca8e74,
+    0xba66ebb2, 0xeb02cb36, 0x1d1ba3b5, 0xa67b94f8, 0xc02c4e75, 0x87b911a9, 0x95c92b39, 0x6c74c87f,
+    0x185949e6, 0x5bc76238, 0x44f0a8a1, 0x8a3806da, 0x217d0125, 0x9311ce48, 0xa4cee0c8, 0x0f7ff21f,
+    0x32658b25, 0x341e9f58, 0x67ae842a, 0x580b573e, 0xefacf5c7, 0x756059dc, 0x0b1c4cc0, 0x3c4d3173,
+    0xead1155c, 0xd814b337, 0xec118e4b, 0xae0f13f6, 0xbad7fcf4, 0x570ff15f, 0x3deb7cef, 0x502fde4e,
+    0x8a42e442, 0xc60b3869, 0x8e63e894, 0xcff3e331, 0x4c75a5db, 0x9727b53a, 0x414fa8c0, 0x07b18abc,
+    0xc16400d4, 0xff823482, 0x57e93a28, 0x7dc0f20c, 0xaf6f55b0, 0xfe95c82b, 0x6349e864, 0x0e63a3cd,
+    0xd67d760c, 0x4f9fe119, 0xf155ce3c, 0x711d23cc, 0xbbeb1705, 0x5e375d05, 0xb9b43ae0, 0xca9a6c32,
+    0x15692aa0, 0xaa3b4fdb, 0xdd5da29b, 0x07644724, 0xaf8901bd, 0x4adade6a, 0xc41b907e, 0x55168a59,
+    0x4b930ffb, 0x2ad02991, 0x58b49f85, 0xfc157e43, 0xa0a2e7c4, 0x2d3f2d78, 0x9bbc056e, 0x83b0f4a3,
+    0xa76d0b27, 0xee47a627, 0x71e7506b, 0x5d23ced9, 0xc4a2a303, 0xdfeb0c5e, 0xaf15027c, 0x66e1d3e1,
+    0x7127ae8d, 0xf43b8fce, 0x07570f65, 0x869270bc, 0x607ff6fe, 0xde4c0094, 0x946c427f, 0x42e4035d,
+    0x53d658c7, 0x20bfbc19, 0xf6f97b08, 0x4c7850f6, 0xa1869ad0, 0x5e693857, 0xb47b8552, 0x69b8b6cb,
+    0x217795d1, 0xbb5fd86c, 0x6397b18a, 0xf7dad1f1, 0x0350f20a, 0xa3667ce2, 0x2d3dac18, 0xe04f2dea,
+    0xceb2c1f9, 0xded40761, 0xf0a3caf1, 0x1c1bb535, 0xa7e84e6e, 0xe70add62, 0x3569c762, 0xc03e09cf,
+    0x5c247ff0, 0xf4fb6920, 0x27b6a9cf, 0xf31229f2, 0xa5bcd407, 0xb805b00e, 0x1edf5e8d, 0x8e3a9dd7,
+    0x3c49525b, 0x164b50ed, 0x44c48834, 0x9286328a, 0xec65bdf9, 0x17cc9130, 0x2ba52fb8, 0x986c6101,
+    0xa917f498, 0x657b670b, 0x283579be, 0x89be88ba, 0x0e30f4e5, 0x601e546b, 0xdefc3348, 0x465597a5,
+    0x02ac33a4, 0xbe8aad4b, 0x7e32e7bd, 0xa94b8f54, 0xfea6f3e4, 0x96b91c2f, 0x03afabc0, 0x57734646,
+    0xc7818793, 0xccc7d96f, 0x92cb1f97, 0x663d83ef, 0x623c3d02, 0xe96807c3, 0xe401f7fc, 0x69d9cd4c,
+    0xe49047a9, 0xb663ece9, 0xadd279ab, 0x28e64487, 0x44d725a1, 0xa7c7c74e, 0x8484c1e6, 0xbec7bb2e,
+    0x47801fe2, 0xc83cdfa3, 0xeb62f16b, 0xc2d01063, 0xadeabf63, 0x2976060b, 0x9548ec18, 0x146ce9fa,
+    0xef273a92, 0xcb82b5f8, 0xcf4c7ed3, 0xd83c8cc2, 0x8a77cef9, 0x796c6e09, 0x9ae0c1fd, 0x0de3556e,
+    0x031dc0e9, 0x0f2ba1a0, 0x6be6cd8e, 0x94e02608, 0x99f6990f, 0x84460401, 0xdf760632, 0xbafcb138,
+    0x5a20bc54, 0xeb9e0436, 0x567f0197, 0xe8f52383, 0x73fc4ebd, 0x847b7fcc, 0xb1f6a730, 0x43923228,
+    0x5dae0932, 0x2b9ccb64, 0x6a6215b3, 0x2d18f1ea, 0x2ed61f27, 0xc95225ae, 0xff065dcf, 0xd9cfbc76,
+    0x6a54485d, 0x6a347b34, 0x814e15b0, 0xe026c345, 0xc1f96ce9, 0x1c5699cd, 0xe26916fe, 0x88c3676e,
+    0x189e69c8, 0x296bd4bc, 0x92ea619d, 0xa17e608e, 0x1054f5b9, 0xa33bb331, 0xa0fa2da0, 0x095b80e8,
+    0xdbc24762, 0x5290c551, 0x1141819d, 0xf1fb036f, 0x234bea13, 0x58fc8449, 0x426097f1, 0xfff4e8ba,
+    0x342780a0, 0x9cc71c60, 0x2c5428ce, 0xbf5157db, 0xd92ae589, 0x5518452b, 0x5e0b3dcd, 0x877fcd7b,
+    0x7c59593f, 0xeae5ba24, 0x9253e04f, 0x76421552, 0x689aab55, 0x38858b2d, 0xfde1dbf0, 0xe356fbc2,
+    0x56e554e7, 0xe6d96873, 0x71523397, 0x2a1d8978, 0xcba4286a, 0xb7b0e005, 0xdf3301e1, 0x33035742,
+    0x6107c5ed, 0xf3714020, 0xe1b159a9, 0x5f5b04f8, 0x85f3bd00, 0x4cdcfc34, 0xecdf3444, 0x6f18c9af,
+    0x483b1db7, 0xaed413e1, 0x34a80396, 0x287e3cd7, 0x0bc31a0e, 0xf2d041a2, 0x27feadb5, 0xe1aa5a90,
+    0x716c1fb7, 0x6e0d7e47, 0x83e2b3dc, 0xa4baab7d, 0x1221fe2e, 0x50b28130, 0x83b54927, 0x75d77c47,
+    0x5bda2154, 0xd01ac732, 0x14133980, 0x1c41145c, 0xd22d61f6, 0x14d9b48b, 0x7ea57316, 0xa0a781aa,
+    0xe8f847e3, 0xd3e14031, 0x15d7d747, 0x82c3a33e, 0xeae549a1, 0x142bed4b, 0x1ddb958a, 0xc12566c5,
+    0xa53f5a5e, 0x563fb295, 0xd86a3ba0, 0xa8bcd3cd, 0x027433dd, 0x69fd4901, 0x606f30c8, 0xa97293b7,
+    0x5362972f, 0xa3d2f89f, 0x393de4ae, 0x04d10faf, 0xae684c5c, 0x9492ab82, 0x24553cc2, 0x15bdc516,
+    0x21092e9b, 0xd01e754d, 0x2fc7844e, 0x6152242e, 0xc1faa329, 0xbe3e39ca, 0x19f38fe9, 0x04a2410b,
+    0xb43830b5, 0x0280c4ed, 0x288875a7, 0x7a28c1a8, 0x18ffdf06, 0x42500c93, 0xd10aac07, 0xd4e66e10,
+    0x336ffcea, 0xc0e33f00, 0x8e63323b, 0xed4e6c5c, 0xc8ff4dc4, 0xd97c2216, 0x273a1e96, 0x55e7e8cf,
+    0x1cbde1af, 0x12b3c3d8, 0x8af33948, 0x49313772, 0xf6e664b8, 0xfaaef7be, 0x21f2edc0, 0x18e2598c,
+    0xc687b30e, 0xb5ebdb66, 0xce165e4c, 0x8ebcb2ab, 0x1cb52e1c, 0xac5ec53d, 0x01dfffc3, 0x738be7ff,
+    0xa519f8c6, 0x078a270e, 0x18311aa9, 0x39c088cb, 0x71d902e7, 0x1f16bc41, 0x6dc4bdf5, 0x08d009cb,
+    0x33d78543, 0x9e1fc2e3, 0x06360bbd, 0xfe4d0e8f, 0xff8ee064, 0x2a415888, 0x63ec70b4, 0x531b70b7,
+    0x8c34d894, 0xab897315, 0x26cda603, 0xf38f4add, 0x6df34de2, 0x8bfdc2e0, 0x5da7a1db, 0x639b2a98,
+    0x8d3b2b49, 0xa9f072df, 0x284c64b7, 0x25799236, 0x0be97c57, 0x14712edf, 0x1fdbfb89, 0xfcac1724,
+    0x9956236d, 0x3ca9133e, 0xa8168439, 0xa2151ba4, 0x2f96c7e5, 0x12864f22, 0xf8c665c1, 0xc316e228,
+    0x1f153883, 0x3dc7b734, 0xfec1c1e9, 0x02c1ac74, 0xb4414a97, 0x8b321561, 0x79621111, 0x290c19b1,
+    0xdaf6e754, 0xb84f46fb, 0x107a2ef6, 0x80f33d97, 0x09fb7124, 0x175af42f, 0xeb8e4a78, 0xf5d60377,
+    0x9fccf267, 0xf0c04a4a, 0x6bf89751, 0xb002a8cd, 0x8d7e496a, 0xebceee98, 0xff7ea2cd, 0xc221340f,
+    0xc97a7d86, 0xb0d80c84, 0xfc71fbb9, 0x18c1d359, 0x44cb47b2, 0x579efa37, 0x0f3ff5b8, 0xed1f029b,
+    0xf2dd34d4, 0xd89506a3, 0x67c6d872, 0x61fad6c0, 0x4778af15, 0xb16175ec, 0x6b3838f9, 0xa0cd8f37,
+    0xd045df9c, 0x1c2ad015, 0xcd004cbd, 0xbcd33d51, 0xdceb91b2, 0xb434fcb0, 0x91619849, 0x9bec9f7b,
+    0xaed0a1cd, 0xfc6d4db7, 0x63978a02, 0xa591db2c, 0xfd570601, 0x4bedc208, 0x66e470bf, 0xb17c2dd0,
+    0xf0905a7a, 0x98818f99, 0x125b2824, 0x40c5af03, 0x09eacfa3, 0xf06bd698, 0x7d9b4a57, 0xefdb6213,
+    0xf37c62bf, 0x810482d7, 0xbd335fc4, 0x702fa245, 0x36601045, 0xe9009ceb, 0x33f928ae, 0x3377e738,
+    0x44a994e8, 0xf713336c, 0x17596b18, 0x970b81d6, 0x2f3793f6, 0x22674949, 0x815c2234, 0xb3876903,
+    0xcf0d9258, 0x32b3cf49, 0xd9faa0bf, 0x48f43652, 0x71e74bc5, 0x354dac96, 0x922b9fc4, 0x144d508b,
+    0x2d89c641, 0xf29510d7, 0xb3ca8273, 0x7fc1b5bb, 0xb0390b6d, 0x66f1d799, 0x7c29e0a7, 0xc845d352,
+    0xa142b075, 0xcd66533b, 0xe86c80ee, 0xc8067211, 0x4410f293, 0x9ef2b915, 0x8944506d, 0xcb4a34be,
+    0xc45f8cab, 0xba001fd4, 0x2ad8c2ad, 0xfc085cb9, 0x9f2f230f, 0x1587a169, 0x82cf26a7, 0xe459f63d,
+    0x50e88613, 0x94e268f1, 0x0918fbc9, 0x3a6a28c8, 0x3476687a, 0x73f3f0d6, 0x14eb68a7, 0xd2207dbf,
+    0xf380d39e, 0x5a0583b0, 0x40c066ac, 0x647a18e6, 0x7c9cf477, 0xfe73046d, 0xa52adb09, 0xb0d167f4,
+    0x561346d3, 0x26448490, 0x1c26cada, 0x392fe5c4, 0xed80b5b4, 0x9d07e70e, 0x191dc63f, 0x6279a4fa,
+    0x59484836, 0x118fd257, 0x9ce657bc, 0x986843eb, 0x62a70183, 0x5782799b, 0xb1834fa6, 0x5ce688ac,
+    0xe6ab4f08, 0xdd6445dd, 0xc8b82c60, 0x709bd4e3, 0x64924dfe, 0x81a461c1, 0xecc091b2, 0x88d261d0,
+    0x799885c3, 0x151ad70c, 0xfb669903, 0x06449aec, 0xce2fee7c, 0xb522cb02, 0x2a607c1b, 0xc7ae8bc5,
+    0x5bb2b24b, 0x1309b607, 0x43117e52, 0x832053da, 0x5c1bdd14, 0xc4a1e18a, 0x56c7c3f5, 0x55bab93b,
+    0x57393f76, 0xde958235, 0xe22f5c7d, 0xeb3facda, 0x5580e9c9, 0xd9af43f2, 0x5a89793d, 0x1b510981,
+    0x4de7b2f4, 0x632129ab, 0x384a3928, 0xdf025c5e, 0x9371345f, 0x354e3fbb, 0xa0d4fe73, 0x2bd6a65b,
+    0x7fb68575, 0x3f1c3cc4, 0x8c0349f6, 0x7d7397a2, 0xb0ea4631, 0x2ad0bc7e, 0x9c70b2c9, 0x1c8a60c2,
+    0x6f2690dd, 0xa5177ce6, 0x9db7fc97, 0xc5c547b1, 0x1aff49fe, 0x77fe7d31, 0xe661dcba, 0xc9e271ab,
+    0x6689c7ca, 0x15f4f36e, 0xaabea238, 0xc8216c9c, 0x9c11d291, 0xe9c6182e, 0x5cc777dc, 0xc2e942f4,
+    0x0359bfc2, 0xc7d0806b, 0x102584d9, 0xa627f256, 0x1772bcd5, 0x1ad7eccf, 0xb42a9904, 0xd9bf723f,
+    0x82471fb5, 0x3bc9f93b, 0x84f02099, 0xe54a11a1, 0xaabbd044, 0x19ed8a3f, 0xe8d4f5c2, 0x198e0983,
+    0xf2a5a084, 0xcad01e63, 0x0d1ebd94, 0x97bcd031, 0x8038595e, 0x33c09b24, 0xe714ee4b, 0xa29c8a2b,
+    0xa0d02624, 0x0093588b, 0xb8f68ce0, 0xe1da078f, 0x8a14ddd9, 0xd6b9cc81, 0xeefe8bd2, 0xe3f11113,
+    0x493d538e, 0x60c407e9, 0xfef3af3a, 0x509ec229, 0x06b2b487, 0x28222ba8, 0x25580d72, 0x8674bee4,
+    0x52a0875b, 0x5b403d5a, 0x0529e27b, 0xd10ac01d, 0x8acb6e5f, 0x1db15518, 0x2632278e, 0x5c4190e3,
+    0x7eb88fb8, 0xad035916, 0x3699e590, 0x33f09a28, 0x505ab24b, 0x2628f365, 0x75e6be25, 0x858ba74c,
+    0x08b04a98, 0x5e531b68, 0xe4ca779d, 0xa590a8ee, 0x49c21f89, 0xdba89e97, 0xbaca6b2c, 0x2f5d2c7b,
+    0x35170201, 0x94278ed5, 0x1bd2c62d, 0x020ef08b, 0x6c77a016, 0xe4d19bd7, 0x302e88c0, 0x59519db9,
+    0x5356b39a, 0x1af741b7, 0xa6dee57f, 0x394fb139, 0xd3bd9916, 0x34d0effc, 0x3f4ab58f, 0x25d5beab,
+    0x97d1f7c6, 0x47dd92a8, 0xa70bf93f, 0x21eb1140, 0x9cc1a9d9, 0xebd92f90, 0x411bde26, 0xfcd60ca9,
+    0xa90ac180, 0x25481a93, 0x457d20ad, 0x3a17e294, 0x13ba592b, 0xf513e46c, 0x068221b0, 0xaf7652b9,
+    0x3a704b1e, 0x311a0d45, 0xe8ed65fa, 0x14333954, 0xc40c0d3f, 0xdae83b55, 0x13001223, 0x382b20b9,
+    0x47fd76ec, 0x14043c69, 0x8f5e15a6, 0x45c30574, 0x2113bd2e, 0x9d2942dd, 0xdc54b7a4, 0x1ad18ba8,
+    0xbf29a974, 0xe6772805, 0x19b43dff, 0x0a6287e3, 0x8773a23c, 0x4d536ec8, 0xcbcaef83, 0x72dc8032,
+    0xbe7f647a, 0x641373ee, 0x1e715772, 0x1a31fa33, 0x52493f3a, 0x0c442265, 0x32f30e7c, 0x215235e2,
+    0x95966a12, 0x2d9b8f34, 0xe782a0f7, 0x608dcab4, 0xb1f727d6, 0xeab3dfd4, 0x9fa08c89, 0x5aeccd12,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000005444517870735015415413993718908291383296 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812016, 0x4a049663,
+    0x00000000,
+    0xe24d2797, 0x7bd34fa2, 0xf6950234, 0x7d62484c, 0x3a8ddf52, 0xe40ff213, 0x930b6b0a, 0x06e8a5b8,
+    0xcd49fe0d, 0x88e5d885, 0x9891f005, 0xe138ad6c, 0xcb13830b, 0xf7379721, 0xb6cc40e0, 0xa96f7745,
+    0x302cefeb, 0x9f4d0009, 0x88ccc7a4, 0x5bc0279f, 0xce3b1377, 0x48197459, 0xf8facbfa, 0xcb063b51,
+    0x74d38ff7, 0x6f095368, 0x577cd1a3, 0xab15bb48, 0xb0da976e, 0xe0f53e4e, 0x68b72af5, 0x2c272e62,
+    0x7a33f364, 0x14d3eae8, 0x4e0c7ee1, 0xc79e9ec5, 0x0e7c41f1, 0x5b494564, 0x149de8df, 0x0cfd9fd9,
+    0xd0f1dada, 0x7f5d8871, 0x24fa64f4, 0x7f2f2707, 0x5e550a62, 0xdd4696a7, 0x858ad8e7, 0x1b9e8660,
+    0xbf21d959, 0xcb94e4ca, 0xd422c18e, 0x6bcfd963, 0x544b5c07, 0x1655431b, 0x3935c96b, 0x5b39a5b6,
+    0xcaa85d52, 0xe049cba8, 0xb0b832b6, 0xf493cf00, 0xc6a78ecb, 0xd1b53b8d, 0xc2a72fed, 0xfdfca37b,
+    0x98c78304, 0xbe62b4b9, 0x2e2f8ff3, 0x1bde29a7, 0x6cb2b14b, 0xc8ff6acd, 0x0899ecc6, 0xb186f8a2,
+    0x8df0c54a, 0xbd7dd9ce, 0x39ba85c0, 0x4f75076f, 0x96fc3c82, 0xb0ce4a9d, 0x9c9f5968, 0x6fceb4cc,
+    0x7d056e82, 0x2b38b949, 0xec8ed926, 0xb1a5a9b4, 0x0ab54de7, 0x084cf88f, 0xe26fbf55, 0x389aa616,
+    0xb007ab2c, 0x22e0f547, 0xa0458eae, 0x6c821147, 0xe1eafee1, 0x82b1a387, 0x0bca832e, 0x2e8d4c47,
+    0x9728e795, 0xf3c17e4c, 0x56bfe44b, 0xf547243e, 0xc85ea8e0, 0x52d4e537, 0x2806b8e3, 0x698fac65,
+    0xf20b1d3f, 0x142953f4, 0xab20e0bd, 0xea2fbb3f, 0x4e5fad3b, 0x220b67eb, 0x04c37816, 0xf454ad6f,
+    0x1abd5eae, 0x3d382b9b, 0x21ae1084, 0x77f6ba47, 0x3b50d4fd, 0x48808429, 0x3c085d91, 0xe523c02a,
+    0xf6ed55ee, 0x6b33f46d, 0x5b0d3c2a, 0x29b9023f, 0xad5a1c45, 0x11900eb2, 0xebbcbefd, 0x925c1ef3,
+    0x18d909a1, 0x883bc210, 0x1af58959, 0xfa259a2b, 0x1ba8bf8f, 0x53584866, 0x2f6c3665, 0x769ab0a0,
+    0x6d3cabcb, 0x5089b658, 0xb7b719da, 0xa628d2e9, 0xc27ef692, 0x5dff716d, 0x7465efa6, 0xddceffa2,
+    0x12d8aff0, 0x26838b13, 0x40a964f4, 0xf52fd233, 0x76ddac43, 0xef9e981a, 0x88df41e5, 0x1c3e9d92,
+    0xe84b6a15, 0xaff147b0, 0xc95292c7, 0xccd2bcee, 0xb3a22983, 0x4ba3d6f8, 0x466bcba6, 0x4542a198,
+    0x841b8feb, 0xd228ca63, 0x4fef33cf, 0xa3253611, 0x789a6c41, 0xb4e89658, 0x13c14087, 0x32baca00,
+    0xedd5525a, 0x50d3dd38, 0xe9ad0175, 0xe674bf73, 0xec171dcd, 0xd3a7fbfd, 0x039f2594, 0xe0e5c52d,
+    0xb5af6f30, 0x4635f8c3, 0x403ab54e, 0x14173c5d, 0x03a1e455, 0x554177c2, 0x25a69f41, 0x9e164a57,
+    0x1158771f, 0xfc223d7a, 0x89b3592a, 0xb8ec1fee, 0x61f8c9d3, 0x60895199, 0xb24db95f, 0xc3251150,
+    0xe5fdd0fd, 0xeef7f466, 0x49e458f7, 0xfed73d6a, 0x9a41da8e, 0xd9b6253b, 0x73c0c05a, 0xa1348d30,
+    0xec807766, 0xd0fc3ee6, 0x24d2256c, 0xa0cbd345, 0x7332e378, 0x3cb449ab, 0xf414a7ef, 0x3e599706,
+    0x90a81c56, 0xba3f5e00, 0x457fc581, 0x755b3932, 0xdf9d3a7b, 0x6fe0324a, 0x1a36c9ab, 0x094b2f61,
+    0x7a0333da, 0xe77f2c7f, 0x4fcc2bc9, 0x80b74e54, 0xa231eb92, 0x7a54daf4, 0x1af75a3d, 0xc817d64c,
+    0x6903c5fb, 0xa90ad898, 0x30dba6bd, 0xc994cf6d, 0xa1cc7659, 0xe22b054c, 0x5ec8e488, 0x12f4d706,
+    0x6e97aac9, 0xb7f31f28, 0x40dbe4fd, 0xed66de42, 0x6b0643b4, 0x32af3c96, 0x8f8ebb46, 0x0618c52f,
+    0x4d33cd0c, 0xc7dbf67c, 0x239a3fac, 0x7299f409, 0xcc3b695f, 0xfa7c7c42, 0xfe90e2af, 0x7dcb052c,
+    0xfb33b854, 0xfdee1c7c, 0x75f8d5ea, 0x9a14c88c, 0x8a43f9a6, 0x2bbef4d1, 0x49a7e863, 0x8b01d8c8,
+    0x66727dbe, 0xdfa82a22, 0x5d1fe319, 0x35ce8817, 0x32a1526d, 0x78bdbfc3, 0x68b5ecaa, 0xd0aa0041,
+    0x95a1db89, 0x29ea1b77, 0xcc4fadfd, 0xefc137b3, 0x1e47f256, 0x5341b726, 0xbc5f9f26, 0xc061244c,
+    0xb4134047, 0x06ef4dd1, 0xd79d890b, 0x86935594, 0x2a8763c2, 0x63a912bd, 0xd55eb088, 0x6165887c,
+    0x9a1878f5, 0x8f1ba00b, 0x97b2138f, 0x7dfaa5f2, 0x849e6a74, 0x8d335570, 0x408c6830, 0x26d0e20b,
+    0x1368c903, 0x541e997a, 0xb944167e, 0xccec1919, 0xeb378855, 0xe0894f97, 0x0e10baac, 0xad72b2be,
+    0xd753aa80, 0xf7524c26, 0xbdce9c6b, 0xed0b92d2, 0x0dba6861, 0xeb8b36a0, 0x91724576, 0x9c6cf932,
+    0xd2781e53, 0xb9175df7, 0xb305a219, 0x695793d7, 0x04787a60, 0x86b91b3c, 0x493f85ce, 0x56988c17,
+    0x9a77df38, 0x649369ad, 0xcc432504, 0x9f4ee5ad, 0xa124607d, 0xcb246fbc, 0x6bef3661, 0x248e7806,
+    0xb6f6997c, 0x65e31aad, 0x5775b6b3, 0xb732106e, 0x1d2bd0b2, 0xcd5c9a20, 0x0ba97a40, 0xe5f8985a,
+    0xebf58e92, 0x0511663d, 0xa5233ea1, 0x62bee9a0, 0x65f69024, 0x38301113, 0x6b54a8ce, 0xccfcb81c,
+    0xf61fa801, 0xd9f78ebd, 0xd3a1bf59, 0x0316b2d1, 0x672f8833, 0x06ec0ffb, 0xf4d58ac8, 0x323d4093,
+    0x1dfe11a7, 0x749ec0a4, 0x7cc8e5b0, 0x58a8ddd4, 0xe823fa91, 0x62da814e, 0xad2993da, 0x1dc8dffa,
+    0x7243c473, 0x1e3c780b, 0xb41011d0, 0x728d443e, 0x1c5958b0, 0x98353206, 0xbc6f9253, 0x61cc6254,
+    0xb174a25d, 0x0d3eb8eb, 0x53af0a9b, 0xdcd3538d, 0xf9598477, 0xa464dc6f, 0x707f70d9, 0x8d0da929,
+    0x9b786452, 0xb6fe37d9, 0xab94c592, 0x4b63abf3, 0x5ef833de, 0x727e760a, 0x71e030b5, 0x526234e3,
+    0xfac75fb3, 0xddae8a5d, 0x49f58493, 0x4fba255b, 0x419c5589, 0x3283bbc0, 0xaefc8470, 0x3ac53d10,
+    0xf637792d, 0xe7319620, 0xbd1cc80a, 0xa409824c, 0x0ab7f4e9, 0xe9e9e5bf, 0x3bc37db3, 0x23c40b77,
+    0xc735fef0, 0xbadeea35, 0x505b0b99, 0xfbd57d29, 0x35971d62, 0x767eba57, 0x058a43c3, 0x9fc00f7d,
+    0x44efc0d9, 0x5d76f2c2, 0xd58068cb, 0x184936c5, 0xe9247227, 0x3637606a, 0xc851d864, 0x84dafcec,
+    0x78fbd6c3, 0x6e281059, 0x5f03ea35, 0x3d01ca3e, 0x262d6550, 0xa604fd68, 0x4af2be61, 0x4085225c,
+    0x9ad9c668, 0x343a73d0, 0x017e740e, 0x3e59e227, 0x541037c0, 0x648cbc59, 0xdb519b7e, 0x3a63d34a,
+    0x4259b5f0, 0x7de7e901, 0xa6cebb5a, 0x70bb4936, 0xfb870cee, 0x3914576a, 0x9a806e3c, 0x14e54d3c,
+    0xb0bb7ee4, 0x13a70420, 0x76115f8d, 0x13e1df0a, 0x48ef535a, 0xe57b57d1, 0x8264085d, 0x5f44b961,
+    0x634bf9e3, 0xd027d187, 0x94e212d2, 0x1da45dc3, 0xd42e6f9f, 0xae69bfb6, 0xedff8a8b, 0x8672d732,
+    0x16ba9409, 0xcc32d129, 0x111f47bf, 0x1505b616, 0x3a605294, 0x9a3ef195, 0x8a267a50, 0xb2638479,
+    0x5ac983f4, 0xa01216a7, 0xfd73e26a, 0x109e20f1, 0xa8379e79, 0x7f1bcf18, 0x2d77b161, 0x902bd50f,
+    0x7727eb3f, 0xbdbfc2a8, 0x0ab13f33, 0x2a8628ac, 0x79ec1efb, 0x77780c16, 0x6f38ac44, 0x202fbc0c,
+    0x829abc1c, 0x57f25e1c, 0xb6b30d1b, 0x1027846b, 0xc8d0b480, 0x837d1c10, 0xbd766541, 0x42bbc05d,
+    0x304fec3c, 0xf42b6f2f, 0xdb22afc8, 0x9eb5a3b0, 0x029de6b3, 0xf579fd79, 0x13a52fea, 0x01cbdfe0,
+    0x870d1c35, 0x4bf0a1a9, 0xd76fa72a, 0xabccec81, 0x2a6e7eda, 0xe4c899e1, 0xcdaeed96, 0xcf222061,
+    0xe6af0028, 0x7be28494, 0x3aa5fa6c, 0xdd2fec4d, 0xb7f5be49, 0x18004d60, 0xa90d2039, 0xe96de122,
+    0xb8daf06c, 0x484ad7e7, 0x4e4aea87, 0x317b1679, 0x1ec6f512, 0x5c902ccc, 0x9431f7f8, 0x96e0852f,
+    0xd345abe1, 0x8783c5ed, 0xe2dbf83b, 0x2f52b5d6, 0x44044f74, 0x486354ee, 0xa460c35a, 0x1724a469,
+    0xa2d0a722, 0x63cf5551, 0xfe266002, 0x9821e841, 0xf5be2bd8, 0x462ef548, 0x22c3e633, 0x9372b174,
+    0xd1ea5928, 0xf13491af, 0xf6f63703, 0xd0004962, 0x3aa4c7ec, 0xa01aa821, 0x2271eb07, 0x3cccc640,
+    0x6f396ce6, 0xa86f47b8, 0xec8ffe5a, 0xbd1f42d9, 0x212684b8, 0x7451a980, 0x1aec69d0, 0xe8daa9a8,
+    0x93488c63, 0xaca73fd7, 0xd4fe9395, 0x7e8ba133, 0x8e562fcf, 0x267e6044, 0x5968b164, 0xce38c04e,
+    0x431c610f, 0xaa35b64b, 0x70ef5872, 0xc386694b, 0x96c82af4, 0xe2a0fc59, 0x11aa8da8, 0xb8900128,
+    0x2909408a, 0x8f779628, 0xe2f8e9ff, 0x972ac253, 0xb5fa58ab, 0x4f8a4a91, 0xbeab08be, 0x6a0702ab,
+    0x6ea5f6fe, 0xc52da112, 0x71d17f4d, 0xefea0f05, 0x1bc756be, 0xb6fd2251, 0xc1d5913b, 0xe7fa6394,
+    0x6b832ea8, 0x7d2ef070, 0xffc73943, 0x2a306c4f, 0x774a2ed3, 0x1d25f123, 0x1c3e2c02, 0xfde3eabe,
+    0xcfd9fd55, 0x6de767e4, 0x89c2edb1, 0x4ec6c33f, 0x1b5d0bf0, 0x264fea20, 0x82532e49, 0xc4aff7fb,
+    0xce0aa746, 0xa6ed61eb, 0x958899a6, 0x1f57e97d, 0xd23d2e10, 0x1708cd81, 0xf21f77cc, 0x1e658040,
+    0x8ad8a09a, 0xaee7d628, 0xe0273cf1, 0xff901f32, 0xce5be2e7, 0x1c427d93, 0xdae2ef7c, 0xad4a1c0e,
+    0x9ee500b3, 0x79283ef1, 0x1a7b9f81, 0xacf20fc5, 0xce6cda99, 0x28ba2e8b, 0xe1ddc3ad, 0x5d0ecfc3,
+    0xd14f876b, 0x6fbbae40, 0x6f298c9a, 0x437e4117, 0x7e8b819e, 0x78171f8f, 0x1cc2bbf6, 0xe23ac5fe,
+    0x80743864, 0xe019b45f, 0x333e2cf2, 0xf5348aae, 0xe5495e8c, 0xe91b5dd4, 0x2d5d085d, 0xd413edbf,
+    0x5085fcf2, 0xf175de24, 0xd1b04972, 0xd654a91c, 0x24c9aa0d, 0x87b8de30, 0x32b3c66d, 0x7894f2b4,
+    0xb8757898, 0x4fb34670, 0xbed6ddaf, 0xe842e514, 0x5e99a2e5, 0x7d02b943, 0x15351575, 0x052bc732,
+    0xf2e07795, 0xab291a6f, 0x8728b83a, 0xf0872abb, 0xa6841455, 0x4928e81a, 0x5a032a35, 0x078e5def,
+    0x0c613f03, 0x83d832a5, 0xac17a049, 0x7435ab62, 0x045fa01d, 0x0ec8447c, 0x2643b669, 0x984d1ad7,
+    0xe938e87a, 0x4adc2888, 0x87f85851, 0x755cee4e, 0xfe7ec171, 0xcdb3578d, 0x1451cdc5, 0xb10417ec,
+    0x0398f407, 0x20b78b27, 0x1b6be453, 0xe37b6847, 0x2ab144de, 0x006ddc90, 0xdcb59568, 0xa6a9f6aa,
+    0x440c6d4b, 0xf30452e4, 0x79294c4a, 0x9a0f8d94, 0x91b76711, 0x34b9114b, 0xdf3654dd, 0xcfc76722,
+    0x4ac32ae5, 0x1fe648c7, 0x812b163f, 0x10c19f50, 0x9f05f204, 0xcdb054ef, 0xb4005ced, 0x96abf66b,
+    0x590858c4, 0x939aa059, 0x69d52260, 0x8cc150e2, 0x7d7b8352, 0x8bbf1933, 0x691a7e09, 0x2004588c,
+    0xeef04ae3, 0x492d4d20, 0xa7e0f5eb, 0x80cd3d43, 0xe637dfc6, 0xa082a1be, 0x97bbe097, 0xa1678306,
+    0xceda2121, 0x9ef34348, 0x76f6dc77, 0xa0755bd7, 0x43446e89, 0x3f8503dd, 0x0fa09427, 0x3275b4fa,
+    0xd425555e, 0x20d8a7bb, 0x95756da6, 0x86313a2b, 0xe6064236, 0xffbf74d3, 0xbd03a363, 0x3a994746,
+    0x516026d7, 0x9cb1c32d, 0x1a9f12fb, 0x71776383, 0x8539cf24, 0xcdc55134, 0x675a3f4c, 0xd58f69c1,
+    0x73cd045e, 0xe3ed3df4, 0xf041d778, 0x3e8682a9, 0xb3244101, 0x1eee2e40, 0x764ba48b, 0x71ca1801,
+    0x0035e649, 0x31954ed7, 0x81dcc56b, 0x7bdea0f7, 0x844b45c6, 0xe71feefd, 0xbf1fdf88, 0x9f0188a2,
+    0x986a62af, 0x86e8af17, 0x6f6557a1, 0xc3d4a85c, 0x0a2c8fab, 0x8ea91d83, 0x43e2e019, 0x9a0736a4,
+    0x278ef6b9, 0xb779d1b9, 0x44cf9aa1, 0x2b4bbb24, 0x3a8a0ad2, 0x3b1d1e8f, 0xd49f36f7, 0x6eaa364a,
+    0x2808de30, 0x12175ddd, 0x633aaec6, 0x1190d6f3, 0xd6e8fef7, 0x0e87935f, 0x01b1be33, 0x8b97d827,
+    0x8aa55ec4, 0x69c3a0f0, 0x2c744da1, 0xb1edefff, 0x043b92b2, 0xa1aa5489, 0x84a4786f, 0x41535916,
+    0x484cb04d, 0xb4dc0240, 0x51b37f99, 0x230ed562, 0x6abe76c4, 0x9e40122f, 0xa259dae3, 0x4fc34bf8,
+    0x7d61b1d2, 0xf5ffb359, 0xe735d049, 0x4ddc65bb, 0xd58a5b53, 0x8f4b72bb, 0x21ddb075, 0xf3092621,
+    0x72b26140, 0x3c5c06fa, 0x97609f66, 0x83217a16, 0xa00a989a, 0xadf737f1, 0x5caa9344, 0xcfb2088a,
+    0x15395396, 0xf09de97e, 0x82a11863, 0x2ae5b5d1, 0xc540a668, 0x17251b23, 0x5cda19e6, 0xc2797696,
+    0xf38f0518, 0x38f05bfe, 0x19f6e77f, 0xc89cb211, 0xabc98909, 0xb79e72b6, 0x5094d631, 0x69384647,
+    0xef4518e9, 0xe6c93ff3, 0x98efb1cb, 0xbd3f1630, 0xa353c14a, 0x01043b17, 0xdad1e37c, 0xa852046b,
+    0x3676563e, 0xccdea491, 0xb3ce4936, 0x202577e8, 0xeea27e84, 0xda898635, 0x60a05ee7, 0xca050208,
+    0xa827a630, 0x306ffcce, 0x047cfaab, 0x60c6b8a8, 0x1de9c674, 0x06a8ff13, 0xa6a558cc, 0x97b2d5a3,
+    0x888558cc, 0xf719b76d, 0x7dffe6df, 0xdfc4b6d0, 0x7830ea75, 0xb798722a, 0xbcf28f4b, 0x4c9c7e13,
+    0x7c91e63d, 0x357238ba, 0xb46b23e0, 0x8c79e413, 0x922b6c55, 0xde8d16b2, 0xbaf6a1d6, 0x0417a0d7,
+    0x18b68988, 0x71892146, 0xa17d9d01, 0x1d2bc166, 0x944e22b0, 0xf1baf981, 0xe52c7505, 0x80ec958c,
+    0x81129e5b, 0x20256e3d, 0xea7bdc79, 0x886c3f34, 0x8dedf1da, 0x6b5cfdd0, 0x5cbb3e07, 0xe6e91c3d,
+    0x35602373, 0x26054af4, 0x20b449c7, 0x377f5ace, 0x6d01f9a0, 0xa3ab5e46, 0x66a683e3, 0x1a9aecbb,
+    0x8ceedf9b, 0x035152ab, 0x21f646e3, 0xeff4d83f, 0xecac6aff, 0xd2bd5755, 0x74ec9c7b, 0x86748bfe,
+    0xb96fb6d0, 0x928305c7, 0x9a0e186c, 0x98f7dd18, 0x66232fdd, 0x66b8af54, 0x4f3b31de, 0xd7e5ffdb,
+    0x47eb994e, 0xe052d570, 0x50e9d1cc, 0x22e9d1fd, 0x8c65e0ce, 0x3ea1abdb, 0x588e3e1a, 0xb2c6da8d,
+    0x0a0229cb, 0xff52806d, 0xc6bc3f3e, 0x6785af82, 0x2ea6ec07, 0x72dee02f, 0xadd35947, 0x8f5fd0ab,
+    0x6963f354, 0x4482ace7, 0x34cbc5b5, 0x3683b6a1, 0x8d8ede3c, 0x7e6eeeb3, 0x44543231, 0xf8d4ff49,
+    0xc04317fc, 0x8cd177dc, 0x2cd191dd, 0x14337019, 0x140b8b88, 0x8fc944c1, 0xcdad4e1d, 0x69414f5d,
+    0xa17956c4, 0x4c4e8fe7, 0xf6df5ac8, 0x9502b463, 0x9935fed5, 0xbd28d8c5, 0xa3669598, 0x7c53a6aa,
+    0x25e33004, 0xbe37b7be, 0x7e722344, 0xc20d77b4, 0x59f95749, 0xf705d828, 0x0372952a, 0x756ac43b,
+    0x9de14b6b, 0x3678193c, 0x5a3a713e, 0xaccabe4a, 0x6a5c80d2, 0x67486a38, 0x44641599, 0x248f52ab,
+    0xa41bbe52, 0x28cf8a8e, 0x64fdac9d, 0xaab380e3, 0x5cfcc60a, 0xc582cbcb, 0x101af853, 0x32ef1731,
+    0x46038118, 0x17b71a4a, 0x0383e98e, 0x5edb3d0d, 0xea57c320, 0xa73dbfef, 0xfd18fe33, 0x323ebbc3,
+    0x9306505c, 0xb19aec97, 0xc1c993eb, 0xf102e0ea, 0xee384ea0, 0x835f34e5, 0x34c74df7, 0xe41fb1a8,
+    0x1cf4bc7c, 0xaf6560d7, 0xf8eedecf, 0x069aa95c, 0xecd241b6, 0xb7cd6286, 0xe82778e8, 0x5e2a5612,
+    0x883b3b0f, 0xd5e33731, 0x695cda3d, 0x73eb20c2, 0x582a9300, 0xeb599c33, 0xb49e2cc0, 0xefc428c9,
+    0x88bc4367, 0x4f84f98e, 0x8ea9ad58, 0x79740ba7, 0xa2b68fb6, 0xbde86e00, 0x1889ad88, 0x3d6bfc13,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000002722258935367507707706996859454145691648 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900b, 0x25024b31,
+    0x00000000,
+    0xaa321997, 0xe4e8d2da, 0x3459b708, 0xfde10a30, 0x957934cf, 0xa4f1b190, 0xba0109cb, 0x2aa7734f,
+    0x09805a31, 0xbb82ca6b, 0x4d2af0c0, 0xfb9e840e, 0xbc00399c, 0xb409d287, 0xf3e86a9c, 0x6cba7731,
+    0xb8739f7b, 0xdca196ed, 0x0138d81a, 0x369bba8b, 0x5a231e8d, 0xdc6a1ec0, 0x62edceda, 0xbb63b2ed,
+    0xa03bf287, 0x00d1673c, 0x9819dd89, 0x457f677d, 0xebe86ac7, 0x10df35d3, 0xbd0e45d4, 0xce24178b,
+    0x2b27b733, 0xa8ef8483, 0x1b4606fa, 0x85ff72fc, 0xc9e63f10, 0x488b6508, 0x84290288, 0x3f44a00c,
+    0x6bd964e8, 0x100e27bc, 0x1751dd01, 0xf40f542a, 0x615757be, 0x6fbf41ed, 0x1cd20e2c, 0xbe5b33e2,
+    0xb0b3a472, 0x745f22a9, 0x86b81389, 0x67f5f871, 0xca4c7535, 0xc2553c93, 0xb0c8fc92, 0xf496e9bb,
+    0x1794975d, 0x13408904, 0xc3fd85a7, 0x4e8a1179, 0x500248a3, 0x90db26ca, 0xb017b937, 0xc40e496c,
+    0x267678e5, 0xb9299f9b, 0xceeb4666, 0xdfbccb85, 0x403aff33, 0xbba4d422, 0xa78c0b6d, 0x3af9d265,
+    0x8a812160, 0x83b968a9, 0xa98f7fba, 0xac6be098, 0x1c433763, 0xf38aad74, 0x3740fb94, 0x41fcc00b,
+    0x15fa0467, 0x4a02d37b, 0xad844529, 0xdad36a3a, 0x93d4bfa1, 0x925706cd, 0xfe7fbbfb, 0xfdedd3ad,
+    0xe7bff425, 0xef0fcd5e, 0x0c8ccedd, 0x132c5d97, 0xd1eb8d9e, 0x736ebb8f, 0x207ab392, 0x4007ad8a,
+    0x0b5b4f86, 0xd3887db8, 0x40c6681d, 0x78860f40, 0xf5c2846e, 0xd7a634dc, 0xb6b967c2, 0x701b3392,
+    0xa41a0769, 0xfc66f409, 0xcf6121f1, 0xb42eb003, 0x4d3a53de, 0x45838f79, 0x68be44bc, 0x0f458423,
+    0x695d4673, 0xadd92536, 0xc507c926, 0x60815fc9, 0x2b760448, 0xc5171aa7, 0x61c49d7d, 0xa419832f,
+    0x8fc81949, 0xc3e7c315, 0xce19faf8, 0x298dccaa, 0x8a39920c, 0x4abe3dbf, 0x5b82cffa, 0x6022844c,
+    0xe2f5453f, 0xd2a113c1, 0x33ff4d03, 0xd7172846, 0xdcd0cc1a, 0xd1864c6e, 0xb29cec05, 0x7ddd23e1,
+    0xa8885695, 0xe9bfd04b, 0x3a3bd1e9, 0x0973cb3c, 0xbdccfd17, 0x1265e337, 0x51eee77d, 0x12cc0633,
+    0x352bd6d2, 0x87d6192e, 0xc756520c, 0x151a5481, 0xb49a41b9, 0x82ec21c3, 0x4bce6c94, 0x76f7a89d,
+    0xfe752381, 0xb213df0f, 0xdd313753, 0x29c3ad2e, 0x7238bcfb, 0x38960da5, 0x2bd30be3, 0xa89889c7,
+    0x95c745f1, 0xd7c3f7b2, 0x77f3a16c, 0x8aed8233, 0x6f24964e, 0x8cb0b835, 0x188175ea, 0x240f80ec,
+    0x175a6242, 0x7114d817, 0xf047d33f, 0x0d19b0c9, 0x11f3ff60, 0x6fd95fc3, 0x5b9cb4bc, 0x95cf04b6,
+    0x32ba4a1b, 0xda8d86dc, 0x8b40bc15, 0x11a9fc25, 0xb0d3eed9, 0xf6c370e3, 0xa9fa6a6d, 0x0e82d332,
+    0xb75f8014, 0x4e0f1064, 0x31cf75b1, 0x4f135ec8, 0xb1d2de88, 0x63581009, 0x54f2628c, 0x39b05d84,
+    0x6f026a32, 0x765653bd, 0x47bfa8d1, 0x50851dfd, 0xc06b3c97, 0x95634288, 0xea798d8e, 0x01e33c0f,
+    0xef5388b2, 0x04c92781, 0x96a729d2, 0x4f92b0f1, 0x0b8eac85, 0x14a0f867, 0x0ee82012, 0x8b6f616b,
+    0x24098101, 0x52a66e2c, 0x3862097f, 0xd2832af3, 0x75186486, 0xeabf2709, 0x7c6d695b, 0xc2db6f5c,
+    0xc87899d1, 0x7cabed4f, 0x4fdb1261, 0x985c39d6, 0x0d269395, 0x6f4b25da, 0xefb43465, 0xdbba981e,
+    0xca9daa24, 0x49a8e823, 0xe3f8cec3, 0x1faaa559, 0xc66c32fb, 0x438ed090, 0x04e3f129, 0xe642fddd,
+    0xcd3e195d, 0x612bc026, 0xb75e2959, 0x8bcf516a, 0x60d78061, 0x59d2917b, 0xc82ea1f5, 0xb2050c56,
+    0x45431e46, 0xe11d43c7, 0x4655a1af, 0x577cc790, 0x51bd0a51, 0xca05d9cf, 0x663bf419, 0xa644cab3,
+    0x4a02c320, 0x8895b833, 0xa62a1561, 0xbbe78994, 0xf8f066f7, 0x13d20db3, 0x432f7be2, 0x392e8667,
+    0x3a8007f4, 0x297d442d, 0x61b85919, 0x438c655d, 0x913b93cf, 0xe7355915, 0x4eb02086, 0xad626a5f,
+    0x26436b3f, 0x5417964c, 0x87fba0a9, 0x532b2bba, 0xf355eccf, 0x8311d38a, 0x05570a58, 0x352c3509,
+    0xaf096370, 0x6e1da056, 0xf035c5e2, 0x84635ccd, 0xc36b0b1c, 0xbc910eff, 0x457847bc, 0x6dec85d9,
+    0xf5ee92dc, 0x668860a1, 0x869f1c11, 0x19166bd7, 0x296ab0c2, 0xc487a22d, 0x6c17b2f1, 0xc2f441ad,
+    0x71906221, 0x30aac62c, 0x395b5b7f, 0x41cb4d5b, 0x4765712c, 0x1f139a78, 0x97ff648e, 0x7bdd1355,
+    0xdb31c4db, 0x2645b5f3, 0xd32294d6, 0xc8d56753, 0xd2162ffd, 0xf0f76364, 0xc986d83e, 0xdc941c1c,
+    0xa3dc7b47, 0x9c08bffb, 0x879cd70c, 0x8b7bcb0e, 0x85a2973f, 0x347e737d, 0x3a1e7284, 0x89564bb3,
+    0xec268494, 0x4d8e4e2b, 0xd7911b4e, 0xc18c9d68, 0xe987b9ee, 0x66ec838e, 0xa67ee2e4, 0x98b8ef0d,
+    0xc2f93d10, 0x2328f3e0, 0x5c3ea1dc, 0x970080a0, 0x60b50bff, 0x96c1b8e5, 0xba87b250, 0xae319656,
+    0x32fd9dc8, 0x6fb30ca8, 0x4f78bdf8, 0xd1ae044e, 0x6aaad49c, 0xa861db72, 0xb768cfcd, 0x094ece92,
+    0xbb4d0c55, 0xdbf8a4f1, 0x8036d2c1, 0x99417b5e, 0xf546425a, 0x85aa38c7, 0x06bfb300, 0x9357c12b,
+    0xcec04a0a, 0xd45dd44a, 0x2aa64b1c, 0x6066b73b, 0x311f7b4b, 0xa3bfe3e3, 0x3d4d447b, 0x580189cc,
+    0x0ef65a48, 0x716da3ae, 0x71f533b0, 0x96efa9f1, 0xfff096ae, 0x1e6e9e66, 0x0e53be33, 0x7b5584ec,
+    0xe814d3b0, 0xcf6910d5, 0x5dcbad7d, 0x8b6d611c, 0xb38447ae, 0xbb7a5a74, 0x60863071, 0xef6e8271,
+    0xa96b1f67, 0xb9c137b3, 0x3d50f9af, 0x90cf9181, 0xe08bd830, 0x632002cd, 0x9eb359f0, 0xb1ecfbe3,
+    0xfaa840ac, 0x699a8628, 0xf11a0894, 0xc558a5d1, 0x9bbaf126, 0x00ee6287, 0x3d970b42, 0x137cb618,
+    0x6a821b79, 0x1cf653dd, 0xb3f3e7b6, 0xd0c1392b, 0xef9caca8, 0x79323633, 0xfdf5125c, 0x00c5a390,
+    0xc27e10bd, 0x2d50cf0a, 0xd647b4d4, 0x49e55d94, 0x68941ab4, 0xe9185264, 0x6329df36, 0x7243f658,
+    0xeff8d6ff, 0x6f7592c0, 0x4b30a6d5, 0xeea5f881, 0x90041a38, 0xf55f78ab, 0x656565b4, 0x7ab48a90,
+    0xbeafe59e, 0xe39f4aac, 0x63dc0d75, 0xf2609f0a, 0x9746037f, 0xd87c2b1f, 0x7262e5a6, 0x900ed734,
+    0x556875e2, 0xbc112819, 0x4f59affa, 0x61837d75, 0xff74af6d, 0x2567cf9a, 0xc5b8fbee, 0xc3a94f5c,
+    0x7e85fcb9, 0x7012cc1d, 0x1644fd36, 0x5f982ec6, 0x15bc64b2, 0xa1de71fb, 0x288895dd, 0xf5a04180,
+    0xe76f491c, 0x13483d78, 0x4f22ecef, 0x3cce7c75, 0x0c5adcb8, 0x593a97df, 0x935d85fd, 0x8f5b16ca,
+    0x305e3d13, 0xb4caee95, 0xd79e6bd6, 0x9a23bc76, 0x9d6f01b9, 0xef774a4d, 0xb8ea5e0c, 0x53d59ea9,
+    0xa16b08c8, 0x51f62a4b, 0x414be132, 0xf3e5a299, 0xdaae78fe, 0x6befeef5, 0x0ec2f3f1, 0x3e66ccb9,
+    0x9c1109ed, 0x86285e51, 0xd02823f0, 0x94939495, 0x620eb967, 0x0a0a81a3, 0x872bde92, 0x6669e03d,
+    0x6f3578b1, 0x4f1637d1, 0x6b8d276b, 0xd464a1ce, 0x16e82d75, 0x6aec4898, 0x58002f39, 0xfcfb24d9,
+    0xb5760470, 0x6d2d039e, 0xea34a0fc, 0x18641180, 0x847956d0, 0xf7ea0883, 0x29aa2ccf, 0xa705f950,
+    0xeb2d7bc2, 0x2332e240, 0x5cecbadf, 0x59170323, 0x009576ca, 0x92858a8a, 0xdd982bec, 0x619fa684,
+    0x371c6915, 0xb4eae8c2, 0x3f936dd5, 0x209eb397, 0x82efadbc, 0xca3ed223, 0x3090bbc0, 0xd0e425ed,
+    0x38ba7063, 0x9c6b8bf1, 0xe5c833f2, 0x3bc25927, 0x6c4c10d3, 0xc23cc046, 0xa97630af, 0x8e11a403,
+    0x01bae5bc, 0x9c44929a, 0x422deca7, 0x35110144, 0x83f96449, 0x081dd681, 0x8b932314, 0x85801efb,
+    0x416d8e6a, 0x5d6d048d, 0x9a16b235, 0x8c37d3c2, 0xa0b0e69e, 0x6c400b10, 0x333fdee7, 0x123f5526,
+    0x2c69e161, 0x60df0d25, 0x467097d5, 0x984a4d2d, 0xbf0bf256, 0xece4ce64, 0x5e9df026, 0x6e143ce9,
+    0x237eccc3, 0x4aaa2bab, 0x41093b4f, 0x176cd699, 0xb9012bab, 0xf1ca6d38, 0x10e76138, 0x626894bc,
+    0x8963939b, 0x24265307, 0xa05abc25, 0xd57564f4, 0x96e90e6a, 0x86661e68, 0x4af9d4c2, 0x882db340,
+    0x59443486, 0x1e73882f, 0xdd71437d, 0xfd18509e, 0x2fc154d9, 0xe8a04186, 0xc1a4dc3d, 0x182146a0,
+    0xb79d249b, 0xad1e81bc, 0x4a90bc36, 0x78b4b243, 0xdc38d7f2, 0xcbaa27d6, 0x87579acf, 0xe15adfcd,
+    0xdf3bf500, 0x141449be, 0x3dcffc12, 0x85784e01, 0x5e89a1e7, 0x96a769be, 0x0054b588, 0x5e6c3210,
+    0xe036d63e, 0x21a31533, 0xb9cbc515, 0xc1379d48, 0xef96687a, 0xa9611a0d, 0xd483f996, 0xda2b4d44,
+    0x7105ca7a, 0xd033d5ef, 0xfe280308, 0x5d41ea8a, 0x010e04e2, 0xae4580ec, 0x63bd105e, 0xd2a0fe99,
+    0x513174e3, 0x73ffbbc3, 0xef5d2f4f, 0xd339f97c, 0xe8fb1eb4, 0xf29af107, 0xcb57e2f5, 0xd2463a44,
+    0x55f13fc7, 0xbffd9e7a, 0x0ff3d898, 0x11df779a, 0x73bc11f5, 0xe8f33454, 0xef349455, 0x08f2c89f,
+    0xa5fd9437, 0xf0ca263a, 0xe4a7d0ae, 0x8616bcbf, 0x0abf4cfe, 0x4207191a, 0xc6442cbb, 0x5a4443c7,
+    0x811b975f, 0xb3863d08, 0x8c2c9168, 0x9ba7e112, 0xb437a198, 0x28eba5ac, 0x18dc4df9, 0x124d4bbc,
+    0x547e86b5, 0x2cc76be3, 0xe09692f4, 0x41bf67b1, 0x4d8ef2f4, 0x5fbb8d6c, 0xc786470d, 0xc65b2d20,
+    0xe6ee2cf8, 0xcc296aac, 0xf9adc909, 0x1ae6c077, 0xca711c81, 0xc60b9fe2, 0xd68175bb, 0xea2c5d8c,
+    0x00041bf9, 0xfc986933, 0xbeb61ca8, 0xe88c30ff, 0x24c697ae, 0xadf41171, 0x20740139, 0x1523aff1,
+    0x71dcdc5c, 0xa962a031, 0xe47135d3, 0xe42c2733, 0xab84bdf0, 0xab53c317, 0x516ce14e, 0xa65b811f,
+    0x2decc05a, 0x58af236d, 0x4abbc3f2, 0x277c9bdd, 0x7df9ab9d, 0xaec09efa, 0x7a3eca8f, 0x10f35123,
+    0x202949e6, 0x2efcd0f9, 0x3d4bd623, 0xf1faae91, 0xb1017913, 0xac424625, 0xa766f7cb, 0xd6e817e4,
+    0x57c7b50b, 0x40f3d4be, 0x3fa23840, 0xddb1780b, 0x6297cc5c, 0x852fda7c, 0x3dcb0861, 0x8f477e2d,
+    0xbbe159bd, 0x1ea1b897, 0x1a7a0408, 0x0d73d765, 0x9a0d23d6, 0x95bf9613, 0xd0834ae9, 0x5ff1bd77,
+    0xee33fb5f, 0xe5ef7064, 0xc872ce49, 0xdda3cf78, 0xfac2bd8f, 0x8c3fc5c0, 0x48bd67fa, 0x57dc94fd,
+    0xeb9a9120, 0x92ab6f2f, 0x37a5871f, 0x5a6a49bf, 0xee7efdd9, 0x2c0f629e, 0x0d616e31, 0xed2ec6a5,
+    0x0e58efe3, 0xb880e25a, 0xc40c644d, 0x40fe697c, 0x768dee39, 0xfbded48c, 0x7546ffcd, 0xfbebf8da,
+    0xd925700c, 0x43610278, 0x565b7a9f, 0x4eb8b9f6, 0x99cc66fd, 0xf0fd6129, 0x0c311baa, 0xfe68e8b4,
+    0x6aefe187, 0x06ce0aea, 0x1cfc9e0c, 0xf270cb79, 0x67e5c5ae, 0x456c4880, 0x13ae8657, 0x5a44bed2,
+    0x81f8dfd9, 0xa63fae41, 0x489d3ab4, 0xb2d8a640, 0xb2c58def, 0x2a87baec, 0xc0e1bbfa, 0x2d770d92,
+    0x9130fd6d, 0xea1f753c, 0x4aa0dca5, 0xe17ee75a, 0xbe62ec35, 0x43b94f30, 0xce91a755, 0x7df9956c,
+    0x4879b0c1, 0xca29d2f0, 0x66c805ca, 0x3c1866c5, 0x6a10b640, 0x98d3f66e, 0x206a642c, 0x2d826a24,
+    0xb4c198c3, 0x6fbc1023, 0x96ad3892, 0xe4e64b48, 0x38461a60, 0xa7d60589, 0xad0c2b69, 0xa0fe7986,
+    0x665bc48a, 0x1815ec15, 0x6789eee7, 0x62358174, 0xb989cfb5, 0x397936dd, 0x7c7add8d, 0x2e787ea3,
+    0xbb93eb1f, 0xc97a3e23, 0x846bdf66, 0x1e998274, 0xcede9430, 0x225cefa9, 0x93d23604, 0xacde5bec,
+    0x8525524a, 0x7b854c54, 0x06c40e9f, 0x78d8a936, 0x43bd050d, 0xd36f9245, 0xede7fb5a, 0xc8a37857,
+    0xc798066e, 0xadb11f02, 0x0f212038, 0x53ffdec7, 0xea1f99b7, 0xcd8606af, 0x0aba76a6, 0x136bc4fa,
+    0x73761385, 0xabde21b8, 0x52eb49f8, 0x3c1b665e, 0xef2aa301, 0x7acf6a08, 0x50f9c2e5, 0x546e4907,
+    0x22299282, 0x29004f45, 0xe219ff74, 0x74ee4b11, 0xeb8b31fd, 0xc4e26cef, 0x157a6c30, 0x99fe9e93,
+    0xb177432c, 0xb9c561aa, 0x629014c7, 0xb1f57b7e, 0xbdf7659b, 0x51e55feb, 0xdd6f9af1, 0xe37dca62,
+    0xc2d2d37d, 0x5b858ed2, 0x8a4b05ee, 0x1cf03e38, 0xb546a15c, 0x9f6b2b11, 0x47fd14d2, 0x1565614e,
+    0x68116f4a, 0x0d80aa1e, 0x4f71cb4b, 0x1c27208d, 0xc6be97c5, 0x1e818ca6, 0xb100f3d1, 0xc7542116,
+    0x0d9efc2b, 0x3994c8e8, 0x3c827e85, 0x6b89ff01, 0x7c57c3af, 0x70c05871, 0x4a83b053, 0xf3b4ea07,
+    0x472523e8, 0x814412c1, 0x65370647, 0xdddd089d, 0xf2d38095, 0xaf228a1d, 0x39112239, 0x8cc5604e,
+    0xc0acdd75, 0xf14a0300, 0xf361a96f, 0x5873ae2e, 0xf322aeed, 0x9fa22431, 0xca818d4a, 0xed56b84c,
+    0x0aca848c, 0x78b82ee7, 0x62074391, 0x5d79d4ed, 0x7b2bede2, 0x3b306b5e, 0x8b21f645, 0xdcb9cb32,
+    0x27da76bd, 0x5f7b2bf2, 0x44407136, 0x6f991f69, 0x5f3e9c98, 0xe283216e, 0xc1a9773b, 0x72aae794,
+    0xe2f3a2cb, 0xdc116d15, 0xfddb85fe, 0xdd33f4dc, 0xa0ee37ca, 0x4cc8893d, 0x03b60747, 0xd3af13ad,
+    0x63fa3a0f, 0x72f0e732, 0x517e321c, 0x6ed42ad8, 0xf75e97d1, 0xef31019f, 0x23a6ad0d, 0x47bae115,
+    0x296b2d59, 0x4c9602f2, 0xebd4b397, 0xed464ffe, 0x0a970670, 0x9d91e942, 0x28ba4b1c, 0xa07a9d04,
+    0x52f6e1b6, 0xf3b689cc, 0x9025566c, 0xd2953b05, 0x96a0387d, 0xd6f2f6f6, 0x5a0bcfb6, 0x4f57966f,
+    0xc4432da8, 0xf10d540d, 0xd2830312, 0x53de4097, 0xc0a0f836, 0xd392e792, 0x6463ec36, 0x5abb8fde,
+    0xd79bc001, 0x01e6e1c4, 0xa4a34dac, 0x7f958a8d, 0xa6114bcb, 0x8c31fa0f, 0x0d93a428, 0x93c2e37f,
+    0xc76e1bb2, 0xfcff873d, 0xc1b26e54, 0x2623e950, 0x7d1cc8cb, 0xf848b003, 0x76743be8, 0x262a0360,
+    0xea6a32f2, 0x83fd5f7f, 0x1b004f23, 0x9da5f897, 0x53a4b421, 0x5d63a4e0, 0x6d367eff, 0xfdd02e35,
+    0xd8ea04c2, 0x1faa056d, 0xcd5929a9, 0x955171fb, 0x96b9464c, 0xe1265f6b, 0xd54b5275, 0x368e2577,
+    0x3738c0d0, 0x2aa02cd9, 0x48701f97, 0x3b570413, 0x56a1a5af, 0xb2997f55, 0x93cc6c14, 0x00b14cae,
+    0x868501c7, 0xf4bc1cc4, 0xe9e88648, 0x58c807e6, 0xe0883786, 0xd3f2e9fe, 0x66672952, 0xbc704eaa,
+    0xa6fe8540, 0xcb6a43e0, 0xdabac503, 0x69210707, 0x13d1cbd7, 0xc0767fc6, 0xead6ba4f, 0xdc54f53d,
+    0x7834a153, 0x758b9cbc, 0xcbd34248, 0x6fb53995, 0xb5aae5ec, 0x030d0539, 0xfebd4998, 0xe51f7f2c,
+    0x528b6365, 0x8216c132, 0x35712937, 0x8c4dea6d, 0x38ede7f4, 0xa569bd26, 0x30d9e8b6, 0x34c3bcfd,
+    0xe1363f93, 0xe90a07a1, 0x5ebebf56, 0x7587332e, 0x2ddf392e, 0x7bec97e8, 0x6b3b96e2, 0x04b832e6,
+    0xb4b3cc06, 0x3aa0e015, 0x8e556905, 0x5585d57f, 0x776e0908, 0x9a6c59ec, 0xaabc560e, 0x01cc26cc,
+    0x9c98966f, 0x5a79b493, 0xb464576d, 0x62f8f918, 0x152a629b, 0xa0bc98b9, 0x965ceaa6, 0x88ae6a8e,
+    0xfa154458, 0xc5ce2900, 0x7497276c, 0x4735c74b, 0xd87f9f96, 0xf2cb30ae, 0x7381816f, 0xf60eae41,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000001361129467683753853853498429727072845824 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04805, 0x92812598,
+    0x00000000,
+    0x9398fbf8, 0xd38ff023, 0xc9326b17, 0xee85f641, 0x1c28aa09, 0xbac16279, 0x464a5af9, 0x57827200,
+    0xfefced9a, 0x6019c3f5, 0x7cf4abb5, 0x2cc8453a, 0x18b87402, 0x011c9b15, 0x7347f22a, 0x876756a0,
+    0x422604e7, 0x5e1fbfa8, 0x2407c45c, 0xb5042730, 0x53e56362, 0xe5cdce28, 0x668db2d5, 0x1ce49f74,
+    0x053739e0, 0xdb4edc08, 0xf7d50db4, 0xf79e8367, 0x24b70bb6, 0x26920425, 0x69810945, 0xe7df5606,
+    0xec01d268, 0xd9fe36df, 0xb8732f94, 0x16000705, 0x2a07e382, 0xcbb26f1b, 0x8ac02516, 0xe907b115,
+    0x19e46f8d, 0x52bd3a24, 0x5a534edb, 0x0fa33d97, 0x6de60658, 0xac6e0c17, 0x4dd69828, 0xe66a2447,
+    0xcb82e889, 0x11776f00, 0x7dc4c662, 0xca99f67c, 0x0c54e6c8, 0xf9c5e76a, 0xf043a8ba, 0x0f0f71c7,
+    0x4d7044d0, 0xf715b72c, 0x89744e10, 0xb2330be3, 0x6281efde, 0xa707af7d, 0x255e8548, 0x7cfe9850,
+    0x83785f81, 0x8478dc39, 0xac467428, 0x8d3742a9, 0xcfd2fe3f, 0x9cb7c822, 0x0ba78e0d, 0x28c180db,
+    0xbf4de4e6, 0x77b73667, 0x9a3278ec, 0x856ee427, 0xee399602, 0x37512c61, 0xb1902cc2, 0x5aae069e,
+    0x44eccc1c, 0x05592fca, 0xff474746, 0xec48d18f, 0x436189f3, 0xafe9a3e0, 0x150a78e8, 0xed396008,
+    0x8efb007c, 0x94167e70, 0xed1e4928, 0xdda6e1a1, 0x83371a6f, 0xc451d543, 0x8e17b99c, 0xf4b33aab,
+    0x02da2a9f, 0x618a3ed1, 0x6b284045, 0x33a00f5a, 0x693c2802, 0xe568c6d6, 0x8fee51f2, 0x44a63102,
+    0x3f4b0477, 0xf3b474b6, 0x3dbd3a45, 0x5751a391, 0xb66aeae8, 0xe776bea1, 0xf41bfc8f, 0xed3d3715,
+    0x2e48187a, 0xa7fb3dc5, 0xca6986ab, 0x24f89cb0, 0x04c7e883, 0x584927e5, 0x21398787, 0xe9075136,
+    0x98ac8f02, 0xf8c86dee, 0x263b3ea1, 0x3e0d2466, 0x301f98b5, 0xf176529e, 0xdd04a007, 0x594c744c,
+    0x47b3221d, 0xd71f85af, 0x10c54ac1, 0xbce5fe45, 0x6f2f5248, 0xea540b4e, 0x87c844a3, 0x06354305,
+    0xc40ef0c8, 0x18204ad7, 0x8b14b602, 0x6344577e, 0xf473655c, 0x0ae5ef96, 0x980a37d9, 0x11bf7232,
+    0x2375c5e2, 0xe8f3cecc, 0x2e241248, 0x8ad93435, 0x8807bc65, 0xaf211505, 0xdd009d5b, 0x4c06255d,
+    0xf26f3e77, 0xaac1b330, 0x64d520e6, 0x994ead4b, 0xc55fd3d2, 0xfe2fb8db, 0x1eaa0e3b, 0x8560e7a4,
+    0x486ebfec, 0xfb225aee, 0x1e235988, 0x91786ae7, 0xacf5ef12, 0x9e104f96, 0x9dee55fe, 0x13c352bf,
+    0xc7097241, 0xd06a5c18, 0xb7b4438d, 0xe6ef5772, 0x52b74f81, 0x59680df3, 0x48626b4c, 0xa3f4a9f1,
+    0x06371d3b, 0x68ebefdf, 0xc245e4a4, 0x804f02d7, 0xf1d2a9bc, 0xedb5e9fe, 0x3580d066, 0x8def8f09,
+    0x6c34e3c1, 0x2ff03cdf, 0x15d965b4, 0x8d90f450, 0x7b517f5e, 0xc9574576, 0x964536d6, 0xd8d05d7a,
+    0x14793d65, 0x134521d9, 0x31b20888, 0x53b606a2, 0x119d0d75, 0x74e5590b, 0xf29bc744, 0xf3deff83,
+    0x465613fc, 0x9ea10528, 0x47b2eaac, 0xac0028ac, 0x6478f01d, 0xba088f6f, 0xaa7fd44e, 0xc3f47f37,
+    0x2e114057, 0x1a760976, 0xb5b0d56d, 0xbef30505, 0x55622a72, 0x92848363, 0x275ec7ee, 0x5df88b0c,
+    0xd1397cc1, 0xf7d3585d, 0x52d0cb8b, 0x25a6a13e, 0x39d87be7, 0x9861e344, 0xf72ac6c3, 0x991f727a,
+    0xc1540a30, 0xbb386c60, 0xa4f11efa, 0xd6c8c1d1, 0xb77ef7bb, 0xa9e8fd70, 0x93b5783d, 0x16897ec6,
+    0x12733bb0, 0xd4e36f3f, 0x79ff2e24, 0xd915ea12, 0xe9b2ab79, 0xbc0e6a4f, 0x52b6c05a, 0x0578d2b6,
+    0x043d956e, 0xb4694592, 0x1b019a1c, 0x075e1b47, 0x2fb5ed55, 0x9d6ce1a1, 0x36b92b40, 0x1e0cf60b,
+    0xfcc528d8, 0xc8b59a94, 0x841bed68, 0x229e72ec, 0xde631ce0, 0xfa7c0a19, 0x8826abe4, 0xadd4d0ef,
+    0x4b8fd97f, 0x94d697fe, 0x42ecff13, 0xd4105618, 0xe01f2b59, 0xa38676e1, 0xc7a18f4e, 0x9a4ce2d6,
+    0xccfeab38, 0x84bc401c, 0xee53aec1, 0x4709d6ac, 0xf5f63d22, 0x547691a0, 0xd5261380, 0xe1b7697f,
+    0x59706d9f, 0x76245f78, 0x722279dd, 0x018a6d64, 0x001a3590, 0xfb74e586, 0x3ed8e606, 0x10f22800,
+    0x7e2ee475, 0xf96df77c, 0x6d6a4c1f, 0x58e0a481, 0x7b9904c7, 0x619b24d5, 0xdac612f8, 0x3c3b542f,
+    0xcd56e082, 0xa7c3cd96, 0x5b50fa07, 0x2b9f8b25, 0xe3a27780, 0x95674257, 0x06a89ff4, 0x935ca8cc,
+    0x0fbdb9db, 0x836f74d0, 0xf3966306, 0xe04a9437, 0xdb271503, 0x68e4fb9a, 0x2188d714, 0x3f726bd2,
+    0x6da5d27c, 0xeb55b99c, 0xfdd51cb9, 0xa7742da9, 0x45a4f286, 0xf5eb2ec9, 0x6930606e, 0xabaa3f78,
+    0x972f4f0d, 0x54d5ff21, 0xf4c1fc1c, 0x9b9cc8d3, 0xe3bcab41, 0x16c20bf4, 0x004969a9, 0xa2cb03ff,
+    0x5cb226f9, 0xd005a148, 0x8d3ef645, 0xce9d041a, 0x33d66d7a, 0xa98cd57f, 0x4bd79363, 0x847d22f7,
+    0xed4404ae, 0x4cf01f19, 0x0ad8ae2f, 0x093e0b26, 0x928f5029, 0x6874ed49, 0x970e105d, 0xc9795566,
+    0x399b249b, 0x9ad2bef8, 0x2463451a, 0xb577450f, 0x4f7f06cf, 0x78f34503, 0xb8578c56, 0x8c9b2972,
+    0x653bc360, 0xc1d847fc, 0x2a0c8f27, 0xd0b1f6a7, 0xbc13c8bb, 0xfe621c07, 0x28f38bbe, 0x6ef47a2c,
+    0xa51f46ef, 0x199b2671, 0x455bc412, 0x7a2db800, 0x21d036be, 0x373017f7, 0x012ac8b1, 0x85b129fd,
+    0x9690df9a, 0x6834c6f4, 0x19e06a5c, 0xc21bf0e5, 0x35b0c23b, 0x85c978b7, 0x38674d0e, 0x88f0020d,
+    0xde8d844d, 0x29855eb2, 0xb7de1fdf, 0xb77954c1, 0x33042d60, 0xc72c1d2f, 0x028c4297, 0x7ef119fc,
+    0x17977895, 0x76361bec, 0x815e8ea7, 0xbe7f111c, 0x0281f54d, 0xee8f6e06, 0x20077ce1, 0x9ef6838e,
+    0xd7e8a9d9, 0x8a0f4736, 0xd7d7fc83, 0x522d71e7, 0xda57063c, 0x4bf17aea, 0xce76280b, 0x7feb951f,
+    0xbfd7ffb1, 0x5d1cf306, 0xd4a60041, 0x352d3a5a, 0x7889e4d1, 0x6f24882d, 0x02e02ae4, 0xfaf1bd49,
+    0x9ebf71de, 0xa830e38b, 0x692268c6, 0xf3039209, 0xd9c7b8fd, 0x0f290492, 0x593e0e98, 0x81c0d4cc,
+    0x1cf67294, 0xaeb6e55a, 0x43d1a0fe, 0x22845d79, 0x2a244cf5, 0x9602ff59, 0x6b5e13ac, 0x147355b4,
+    0x56e36a9a, 0x7ee7c8dc, 0x0dcdec12, 0xba01bd59, 0x8be2bf3e, 0x6c1c121b, 0x67d87dd3, 0x56aeb132,
+    0x32ed8d62, 0x0a58b56f, 0xd7bb0c58, 0xbe6f2633, 0x0aa88d65, 0xb833c9f1, 0x51eadf3b, 0x3d962f2d,
+    0xf2c4b987, 0xf39d2df3, 0x8dd3c063, 0xe7e97776, 0x14b5e315, 0x8993f6d8, 0x0b62eb1b, 0xc140d289,
+    0x279c7cad, 0x4747056a, 0x7fd871e2, 0x63ac5196, 0x8ee13a16, 0xe7542e3d, 0x7a37d98c, 0x9ba82d30,
+    0x05af2b96, 0xc9388e54, 0xfc1243da, 0xe8349162, 0x5ab7c5d2, 0x599ae979, 0x4f05f986, 0x85ae4f2d,
+    0x3208ef68, 0xbb41221a, 0xe13da541, 0x039bff98, 0x61c31966, 0x06f33ed8, 0x926cee18, 0xa66db035,
+    0xce75cff6, 0xeaf2f7f7, 0x19e5e9de, 0x3fe64d4a, 0x2814d3d8, 0x50857979, 0x90dbb37b, 0xc769e31b,
+    0xceb1a0ef, 0x6c25618a, 0x11685789, 0x776735ba, 0x84b43abe, 0x7411de41, 0xd960c029, 0x9c607081,
+    0x6eff2414, 0x1098277c, 0x06ea117c, 0xc8a2f292, 0xcc9b7b64, 0xa254317a, 0x2170395d, 0xdb4fd7de,
+    0x9256f280, 0x547816a1, 0x32e5f020, 0xa5773e89, 0x7b3e259b, 0x7f05b92f, 0x5a36d8b1, 0xa4be32b3,
+    0x51b2a13e, 0x30e163c7, 0x668de64e, 0x5307ab3e, 0x814c857e, 0xb79dd0c4, 0x0a965ea2, 0x92f9f402,
+    0x4480b81d, 0x393eefa0, 0xf7c5c1fa, 0xb72c647c, 0x1c4114ed, 0x0cc9a461, 0x923550fa, 0x8fc34457,
+    0x56a2d94b, 0x75780009, 0xba3b3810, 0x341786b6, 0xba51f908, 0x528850be, 0xc9c40dcc, 0x9957bc9b,
+    0xe93fea52, 0x6546f731, 0xb013d119, 0x33801a0d, 0xeb00845f, 0x1fee1433, 0x3220da42, 0x5117035e,
+    0x7554fad1, 0x999bcf2c, 0xf0e39d13, 0xd590fe43, 0xb5ad237a, 0xe4d55ac8, 0x89b80a77, 0xd85b8338,
+    0x2c35b6c6, 0xffaaed59, 0x3a2c6f06, 0x91cbf813, 0x0a0729cc, 0x1bac8eda, 0x10a97e1a, 0x931026f9,
+    0x7716ac9a, 0x8c15c28a, 0xe713ca70, 0x8a452f8d, 0xf0ea9b0a, 0x96f356e5, 0xef17881f, 0xa9b193dc,
+    0xaf2e803f, 0xe555e09a, 0xb87842df, 0x74be03e7, 0x276b1d1a, 0x3632140b, 0x4313f9d1, 0x477ddd28,
+    0xd48304fd, 0x29176f6a, 0xd4fd873e, 0x7b372d51, 0x3cd21ffc, 0x8e3c4e84, 0x0aef7f44, 0x7323edd3,
+    0x29ae50bf, 0x4966b2e8, 0x0c90b93f, 0x64eab3a0, 0x495ab421, 0xad828298, 0x9e90b359, 0x4e438aca,
+    0xb681bfc2, 0x0da82dc2, 0x21754a78, 0x7afd22b4, 0x54c0615d, 0x6d1339fc, 0x998b4095, 0xe3efa898,
+    0x03523b2e, 0x8534326c, 0xeeb1c0a9, 0xfe1694cd, 0xd713d4d0, 0xb78e7db0, 0xde4b11df, 0x412f44ea,
+    0x00129a90, 0x086a0900, 0xad65e736, 0x42429874, 0x5bd2eded, 0x77ca7aad, 0xf7f74beb, 0x3bec6938,
+    0xf4e7eaee, 0x60399f85, 0xb11e86a3, 0x3dbf5619, 0x2b4fbfc8, 0x37ee4643, 0x71063d17, 0x129da445,
+    0x105cf0d9, 0x948c27af, 0x0411432c, 0x8251e441, 0xc4f742bb, 0xbc431fdf, 0x85aeee34, 0x93b3cb8c,
+    0xa7f941f1, 0xa7e58404, 0x526319a2, 0xaa66434a, 0x85ad926c, 0x4799b7d1, 0x31ec98e1, 0x7514657b,
+    0xdbee1d98, 0x323affc7, 0xdf189876, 0x70c23c1d, 0x600b1c3a, 0xca54f337, 0xb020488a, 0x95eb2767,
+    0x858d5490, 0x5c5919e4, 0x9cbf9dcd, 0x577a931a, 0x2e30c928, 0x2d327869, 0x282ac1b9, 0xebc6924f,
+    0xc5359bb7, 0x09923ba4, 0x9e6d46e4, 0xb20a8a1e, 0x4d785637, 0xc80628c8, 0xc6635ebd, 0xf140bf9a,
+    0xb3dcddc4, 0xc8c2badc, 0x2e1b2f35, 0x8a0566f0, 0x5d528330, 0xebc9ed90, 0x6965b1f4, 0x204b9eb6,
+    0xb81d2beb, 0xce511dc0, 0x870574f8, 0x34dd166f, 0x9065fa31, 0x3a14e3cd, 0xbff49985, 0x43b5f511,
+    0x6773d637, 0x4decd8d1, 0xe0a8cf51, 0x1f9e6652, 0x0aefcb0a, 0x4921149c, 0xd5003d67, 0x7cfed785,
+    0x7537d420, 0xe1343610, 0x98ad9812, 0x979c53b7, 0xe8169be0, 0x5aeb4780, 0xa675d2cf, 0x32503f4a,
+    0x0190c9d2, 0xf1d7ffd2, 0x6427d675, 0xe6417bf9, 0xfedf76fd, 0x9f21af5b, 0x336d20ed, 0x644dd285,
+    0xc0ff27d6, 0x78fe8836, 0x422630df, 0x0f5cb4bc, 0x68cbff20, 0x98365539, 0x08cf4810, 0x967c1ebf,
+    0x61531cbe, 0x9dc44b1c, 0xa06b1167, 0xa24e40e3, 0xb315c91a, 0xc09244f0, 0xb07ee56e, 0x58b94c56,
+    0xcf591e37, 0xacc94974, 0x65a573a3, 0x2b7bab7c, 0xbe855856, 0xfe4eb12c, 0xe615dd9e, 0x78bd2ad6,
+    0x3de5a311, 0x431694bb, 0x85700276, 0x0c1d000b, 0x90ac8f13, 0xc6061bd6, 0xc4efcdf9, 0x975e7bc1,
+    0xe7d9500f, 0x217a670f, 0x67301572, 0xf5f544e4, 0x0af61778, 0x5a4d0a2d, 0x2d42ebcb, 0x7a868154,
+    0x3fc1b493, 0xc591f89f, 0xcc89b889, 0x02f8adc6, 0x99cf5829, 0xeb49367d, 0x88e243af, 0xce8002a2,
+    0x7d7f093c, 0xc8e47ef7, 0x28c511b0, 0x020ec931, 0x50e04428, 0x5d5bbab1, 0x18f48fef, 0x5138fc0f,
+    0x99a13ff5, 0x43247022, 0xcb9bb5c1, 0xee0f37d9, 0xb48148b3, 0xa47cfc3b, 0xc52f66d0, 0xfddd69d4,
+    0x596743e8, 0x96b9359a, 0x355b5840, 0x6070f6f3, 0xb462fc72, 0xc22fecc1, 0x07a722e4, 0xef81e805,
+    0xe9aab0a3, 0xd4193590, 0x40a1ebe3, 0x299011cf, 0xe528969a, 0x8ae0c4ec, 0x93812358, 0xdc81697c,
+    0xd714358c, 0x297d3488, 0xe11d615c, 0x7d1d7a5e, 0xdc84b0e8, 0xc64e3792, 0x2a1218f0, 0x619390dc,
+    0xa9f38197, 0x76bdcae9, 0xc2cf334a, 0x9398257e, 0x539fdf98, 0x9319f2ab, 0x5264b045, 0x4a28602a,
+    0x3d85f6c1, 0x9645b4c7, 0x1983d2ea, 0xf9d2282f, 0x3ddaf1e9, 0xe91f246b, 0x7a5f8fb7, 0x842ffa4e,
+    0x8e256529, 0x77ea289b, 0xc5fc8390, 0x0d2b498d, 0x1c94eb76, 0x7ecd6f6c, 0x89ed1618, 0x422a6131,
+    0x50f83f86, 0xb038867c, 0xd6816616, 0x9799b5c5, 0xca7a8f42, 0xa1844501, 0xd3398b59, 0x5904418c,
+    0xf0d9caaa, 0xf7749624, 0xd5bdbc3b, 0xfbf2ccf5, 0x3c38927b, 0x7989a815, 0x7485d435, 0x3653d251,
+    0xea6759a7, 0xabc4f232, 0xb91a5509, 0xb3f6b13c, 0xd70d2c2d, 0x2b0011fb, 0x55a7d368, 0xeedf6f85,
+    0x4f8616d9, 0xe766d7d5, 0x2cea9420, 0x4ecfe08d, 0x1af63ccf, 0x05d529ec, 0x140fe04b, 0x305d833b,
+    0x990e7077, 0x7515b5cd, 0x3872f5e7, 0x6bf3baac, 0x7cf58494, 0x9ae02b64, 0xd8793f9a, 0xf5544fdb,
+    0xe34c434e, 0xae5dd184, 0xd87c459b, 0x90c88b9d, 0xef0e9c06, 0x2b4e8f92, 0x81ab1e85, 0x1bd0c690,
+    0xcce6136a, 0x31a872c9, 0xd17eb05f, 0x725d6e1f, 0xb48c5d88, 0xefb3fd95, 0x83521ee5, 0x88c1df1d,
+    0x8bb22d93, 0x45d5eeb8, 0x395eeae6, 0xc8a1b44c, 0x42aa17b3, 0x8f514fd4, 0x89bde439, 0x6a40b86f,
+    0x2d75a3e6, 0x00518310, 0xfd79e621, 0x02c8473d, 0x7c447b28, 0x58587b1a, 0xfe6eed83, 0x15eba28a,
+    0x4d679c8b, 0x837d028a, 0x9c007b28, 0x7b53c61d, 0xbfbdf39c, 0x8a6d2329, 0xadc9a46a, 0xaa8a4627,
+    0x7b0edbfc, 0x1faff836, 0xb3c5dd4f, 0x77a9ba33, 0x6a657917, 0x9bff9552, 0x1dd31973, 0xe5678bb6,
+    0x851e268c, 0x5131fc3f, 0x090b2675, 0x85507622, 0x859d6ffe, 0x28e9c758, 0x4cda9c7b, 0x63ec48ab,
+    0x46349486, 0xac6c096d, 0xf930dc45, 0x6dbf3689, 0xb4a1265a, 0x74403c7b, 0x96decf4d, 0x98112808,
+    0x167af6e8, 0x03e5fae4, 0xdd9cb648, 0xdd05d6ac, 0x4a5446ba, 0xce127dd2, 0x20853b04, 0x526cc527,
+    0xc842474f, 0xe843f898, 0xec13cab0, 0x417c9f34, 0x3bbd5544, 0xb6f8c7fc, 0x406675f7, 0x241f7201,
+    0x21f30c20, 0x6c9a28a4, 0xbab813be, 0x94de084c, 0xa3e07545, 0x4daaed48, 0x8b4e640c, 0x5952f778,
+    0x02351bb3, 0x31f0c447, 0x97f7f4bd, 0x93c2fa85, 0x2e949672, 0xda2f6d4b, 0xc855867e, 0xdb470038,
+    0x686f6ffe, 0x35db0319, 0xff398b08, 0xa45a208f, 0x4f14cc8b, 0x17005d6c, 0x5f9146c9, 0xba75f6f5,
+    0x24f927fb, 0x8790ac1f, 0x58306ef6, 0x661631f3, 0x278cd969, 0x418be2f7, 0xcd16ca35, 0x791cb0cc,
+    0xd1012f95, 0x486ab766, 0xf9e9bd90, 0x4f1010e7, 0xbfaba10d, 0xe487e773, 0xa38f3a35, 0xdb793713,
+    0xd67b8a08, 0x490ff288, 0x3248228a, 0x534e21f2, 0xe5b12171, 0xac1c9f3d, 0x8a40616b, 0xd650f360,
+    0x7a0a3ace, 0xfa51becc, 0x3359e69c, 0x5cc958f8, 0x36f5a384, 0xa71a08df, 0xb934625d, 0x475f26e0,
+    0x8adccccf, 0xba69b707, 0xb995a3bf, 0x7a90270c, 0xd30bcf9d, 0x3efdbc32, 0x08b8dedf, 0x6a5c75f3,
+    0x8de5c9b8, 0x8b6bfa3e, 0x8b5f1a9c, 0x30a16408, 0x37c1bbef, 0x83b4e6a3, 0x0b22db20, 0xf3599a8f,
+    0x87d181d9, 0x9f0661e6, 0xd8b4c5ac, 0xdd1e1b1e, 0x1842280d, 0x17fb0f07, 0x32304722, 0xea4cff9f,
+    0xd18445ea, 0x07ece24f, 0x29676bd1, 0x775d6f2c, 0x51c31448, 0xede8d82f, 0x2bd9d6ba, 0xe128b524,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000680564733841876926926749214863536422912 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502402, 0xc94092cb,
+    0x00000000,
+    0xc26233a9, 0xb835ff43, 0x5dbc1ea4, 0x70bd7742, 0xea670c18, 0xabda5150, 0x643205b6, 0x7efa0eed,
+    0x1698f648, 0xe8488b4e, 0x3ffa96ef, 0x1b255f6b, 0xc77232d3, 0xd4435959, 0x734291b6, 0x017efe15,
+    0x59ba1715, 0x8f95f747, 0x1cf4ab1d, 0xd481eaa1, 0xfac3ea6e, 0x50df377a, 0xcc845a2d, 0xc4ad02aa,
+    0x07025b28, 0xba3b1a19, 0x550c8a37, 0x6fd2431a, 0xa64f79d5, 0x7a3bb67a, 0xc4dcf602, 0xc698c409,
+    0x9bf35434, 0x675e2bbf, 0x4b39f919, 0x31ae8bf6, 0xd1967c0f, 0x8ff9d90d, 0x3e7cc67c, 0xa1cdbbd9,
+    0x2b49a87c, 0x29982994, 0x55cd4ef7, 0xdd1b5639, 0xf54db7a1, 0xc83763cd, 0xe87c9171, 0x1c4631b6,
+    0xa08f5a39, 0x2fb0a8a6, 0x6fee4c78, 0x2ed6c563, 0x241d8919, 0xbeb3c13a, 0xd9206ea6, 0x12198954,
+    0x5bc3b0bc, 0x15691a42, 0xe5331ff7, 0x7c276c46, 0xdb912b46, 0xb63f7cbc, 0x2761c09c, 0x07fb4651,
+    0x06ee204f, 0x0bd8ed73, 0xbbf978d5, 0xc89cc2ab, 0x021a2bbc, 0xcf325adb, 0x2dc80f69, 0x6f84952e,
+    0x59905ff3, 0x663193ac, 0xcbf506f3, 0x8df48878, 0xdf1f319a, 0x0921c1f5, 0x3d719623, 0x4278dc03,
+    0x1fca5931, 0xa9b21f05, 0xd3a12ec0, 0xe168729f, 0xd050c949, 0x7dda2881, 0x0901a1f8, 0x5c8a7916,
+    0xc51e58f4, 0x84687365, 0xe6b3b4ff, 0xa9170023, 0x0eca8468, 0x447356f5, 0xf45b0f43, 0x6759a0c6,
+    0x8f2179a8, 0x7a76caaa, 0xdf5afe6e, 0x3f79fda4, 0xa3b1fe6a, 0xe619232d, 0x0d352888, 0xbc4a0b98,
+    0x33315db1, 0xc08376c0, 0x8f1ae5a2, 0xb61613ff, 0x1202f2d7, 0x56b11af0, 0x7a2afd8d, 0xcf38a981,
+    0xfe1ffb75, 0xff18b6b5, 0xfa26aaa5, 0x7d5e8611, 0xf3f50520, 0xbfba59c4, 0xfbf5fb4c, 0xbd4bc617,
+    0x04975ef3, 0x1758adda, 0x75ba4ec8, 0xeddad23c, 0xe419223e, 0x74ecf5b4, 0x2d0c52d1, 0x6d2b56e5,
+    0x578c04dc, 0xf331e2a9, 0xc83bad72, 0x31f65486, 0x8382e7a4, 0x2470564a, 0xc63548c4, 0x4980499c,
+    0x047d4210, 0xa00844da, 0x5ff68a48, 0x98950d06, 0x183545a5, 0x00da685d, 0xebbf16e0, 0xa7d09381,
+    0xcb52b96d, 0xf6e10034, 0xf10f361c, 0x759cf3b9, 0xea9e1427, 0x599d9c4a, 0x57567963, 0x6042d850,
+    0xdb0165e0, 0xfcb255b3, 0x9dc314e6, 0x7b6cf534, 0x7c091df6, 0x33b39c08, 0x50e02bf4, 0xb3302e4b,
+    0x3cf1b7a5, 0xcf1f7cc2, 0xc7f8da56, 0x0bd234e1, 0xfa7be98f, 0x8a32fd2a, 0x25383c17, 0xcc2d7760,
+    0x2ada6378, 0x4d337e24, 0x253f53d0, 0x9d50799f, 0xf643a902, 0xd0d5cac5, 0x394a843d, 0x4eb8f611,
+    0x11d11e0a, 0x8a8cd0c9, 0x45c55ed8, 0x9d73e523, 0xb9fd4d54, 0x531b524f, 0x371a836f, 0x15bed4e4,
+    0x9ac21fc1, 0xddf8da1b, 0x5f1973bf, 0x95d065a8, 0x62465080, 0xd336f46a, 0x032254ee, 0x31308097,
+    0x27ae43a8, 0x33865c20, 0xdd4466fc, 0x13c2a5b8, 0xf5336503, 0xad70a09f, 0xeb11dd6d, 0xaee9a1d2,
+    0x4f982e87, 0x2ca50aa7, 0x6614c448, 0xdefe226d, 0xd23f87c8, 0x6e296e36, 0xbee06a40, 0x1e6f789d,
+    0x5f4c52e7, 0x81c5ca75, 0x0e116da1, 0x76a4e128, 0xf6620e08, 0xa4de9319, 0xe0532f2c, 0x911f0fe7,
+    0x83cc0111, 0xe4ea0dab, 0xa5633155, 0x0722b5fb, 0xa89d5f11, 0x42875989, 0x06ef4c6a, 0xe68ed69f,
+    0x6b5c9c1c, 0x00a942d3, 0xcfbd3586, 0x3e6dcd36, 0x2a1eb4e0, 0x4a8555aa, 0x0351b36e, 0xc82c5ec7,
+    0x6c2f954a, 0x7d66d75a, 0x320246db, 0x7e5f26a1, 0x01d9e7d6, 0x7c1fd185, 0xf384675a, 0xd4bc6b84,
+    0xf1832a2e, 0xa2f62da3, 0xc108c166, 0x99f09a03, 0x08e4acbd, 0xf5e5dfea, 0xf6271c7e, 0xf7e41b05,
+    0xdd6f0a7e, 0x739796e7, 0x7b48027d, 0xc7a926bf, 0xa0e4f262, 0x7f8a19d1, 0x3ad96f07, 0x3fbb3a06,
+    0x3a278a5a, 0x6a21e651, 0x35f9e2a0, 0x942ef060, 0x0837be8f, 0x45a3af0a, 0x800d4721, 0xfbfc17a5,
+    0xe94ad7b8, 0x62e09051, 0x04282b78, 0xe9fece52, 0xa52be814, 0x97a53109, 0x94a26bc4, 0x21898096,
+    0x94d0ff21, 0x182e3776, 0x6382f749, 0x9a1d52e5, 0x48a4ae90, 0x842fb990, 0x92f499ce, 0x0a1bc124,
+    0xc417a213, 0xec7753f2, 0x76bc2d00, 0x4fb4b7d8, 0xc1e32bda, 0x0b553476, 0x2fb3e133, 0x81506ea7,
+    0xa284dac2, 0x1d8b00d3, 0xafb7e8f6, 0x85ef8fad, 0x40a69fb5, 0x17dbac31, 0x8f04e036, 0xab0b7510,
+    0xa43f160d, 0x2f469cc4, 0x364098fc, 0x3fa552da, 0x2c268bc2, 0x18ef454b, 0x39507144, 0x571b90e3,
+    0xa778001e, 0xf91055b8, 0x5c7fa811, 0x5e9abc2d, 0x45acb150, 0x441c27dd, 0xb17acaf8, 0x946336a7,
+    0x755e6d37, 0x22240142, 0xa39a94eb, 0x81a45a7e, 0xba089c5f, 0x8883fb9a, 0x2821869f, 0xa390845c,
+    0xeb75b2b9, 0xd9b6d2ca, 0x58039efe, 0xca1c7fa0, 0xf2b36288, 0xc25f648b, 0x6669c7d2, 0x5e61bb28,
+    0x20b5e75a, 0x904c4dc2, 0xee1c6f9f, 0xbd127355, 0x01c4cb13, 0x1fa9c1c8, 0xdc83f2fb, 0x01d137fa,
+    0x758dbac8, 0x2562d881, 0x3939fc61, 0xce5baec0, 0x34a87c37, 0xaf0da221, 0xe385d44d, 0x32857435,
+    0x0026c0ae, 0x606d595d, 0x97d7c6ae, 0x49d7da2f, 0xff2be587, 0x6fd3dd0f, 0x33db79d0, 0x0f89e5a5,
+    0x6d422234, 0xa94fba09, 0x7565922d, 0x44b0be71, 0x0830154e, 0xadf88c5b, 0x4b8fef6c, 0x2cefa493,
+    0x61856256, 0xe9d8021f, 0x07c04263, 0x822095f6, 0xa0e41e30, 0x1e4ba7c0, 0x41e4c559, 0x8fcdb552,
+    0x534eaf6d, 0x5dde8764, 0xdba4713c, 0xb51f523e, 0xe1cdba76, 0xf34e31ac, 0x3776e1b3, 0xc7bd6546,
+    0x73a0a97d, 0x11bf83a2, 0xc0b2e942, 0xbbad1c8b, 0xa2fe5557, 0xa78a57c5, 0xf2df4410, 0xfc419a32,
+    0x49f0157d, 0xfe0d7d70, 0xb0c92fd8, 0xccb50e9c, 0x9076a79f, 0x9dbe516e, 0x9e14b65e, 0x90a0e9db,
+    0x73dfbcb4, 0xa35a0693, 0xcc1559af, 0x9e21aca0, 0x2a3c233e, 0x5e22e9a6, 0x6655c425, 0x1e3b10d1,
+    0x7862b302, 0xfb6f29dd, 0x1e2871ee, 0xd5e34ec7, 0xff30d06d, 0x5a581681, 0x68cb9cea, 0xbb6ab850,
+    0x83177264, 0xc362aca2, 0x7442b79a, 0xcd82c440, 0x173a2037, 0xe4a8d3bb, 0x18d64ccb, 0xa51edf04,
+    0xeb5c2560, 0x3e14c7ce, 0xc8d597e5, 0x6c73962e, 0x26256f5e, 0x4f032cce, 0x115be906, 0x2fc18d62,
+    0x390cb371, 0x5215892c, 0xfaaf9e34, 0x122ebb09, 0x48e2e7f5, 0xe8ef3342, 0x0aa95441, 0x6e2969be,
+    0x825fbf4c, 0xd48f0009, 0xdca2061a, 0x3053bc37, 0x48a83413, 0xef9a97a2, 0xad7ff414, 0xb00761d0,
+    0x68e9fe33, 0x579129e3, 0xa9e2356f, 0x3c1255ae, 0x4d8ad6e7, 0xdf5867e8, 0x187b24f9, 0x74d541e5,
+    0x1621b0c4, 0xf9e339b5, 0x15e6bb33, 0x292b4933, 0xa29543e6, 0x1b9e227c, 0xa8ecd633, 0xc3a00e66,
+    0x8fb0b730, 0x0fd395a2, 0xedf63c61, 0x3949cbd2, 0x3e069acb, 0xbc31b2ab, 0x00a5e810, 0x65c36a05,
+    0x83eb9c8e, 0x3fef0029, 0xee965167, 0x513c8fbe, 0xb1136ddd, 0x7f6988b4, 0x294ba78c, 0x7557e1a4,
+    0xa90f6812, 0x784300eb, 0x3baa80fc, 0xf140f03c, 0x444fc17c, 0x3bc80a91, 0x505209e2, 0x0113e11e,
+    0x7d6a22cf, 0xfad55fe7, 0x2a79c3e7, 0x382f1ce1, 0x545cacc3, 0xd3745b38, 0xbaf8ad82, 0xc12fbe08,
+    0x6024a6b1, 0x6b77201d, 0x86961ce4, 0x58cbf950, 0xc97d6d76, 0xb0aafaf5, 0x824c9ad7, 0xcbd8383c,
+    0x1f996cad, 0xdff3b673, 0xc7d04b18, 0x98aa0ea3, 0x5f604203, 0x4b5fb024, 0xb270051b, 0x448678f3,
+    0x3d0bf009, 0xe4c9b4fa, 0x295f00a3, 0x989b48f6, 0x74b8014f, 0x6478b356, 0xc2550b61, 0x3973a395,
+    0xaf2c95c0, 0x62ff0506, 0x0d278c08, 0xbe4678b7, 0xca006039, 0x9882db18, 0x3f5918fd, 0xc6d01ae2,
+    0xec0befae, 0x880eb9f7, 0x21650414, 0x02f11ed5, 0x976bff31, 0x2ae85c14, 0x961a38a9, 0xfc8f5d0d,
+    0x95b398b7, 0x6f66c9ea, 0x63468409, 0x709e39b0, 0x99a3eedb, 0x6aea6d91, 0xf7947845, 0x186e593b,
+    0xa54f0ea0, 0xfe047003, 0x7bc0acb3, 0xfa5e4c43, 0x493aed07, 0xd11c46ab, 0x97512708, 0xbe98f639,
+    0x43561800, 0x42ad1b49, 0xb65dbc65, 0xa6583089, 0xe1a7ef20, 0xb177cc9c, 0x8db75644, 0xa79827da,
+    0x8e2d798f, 0xcb3b4d37, 0x39824d2f, 0xd65bc7f6, 0x60b7e701, 0x52ef6ecf, 0x35542d72, 0x364fa042,
+    0x2d16793b, 0xe9899dde, 0xaeaf140e, 0x0f68af73, 0xd07d35d8, 0x09cfdf03, 0x747827b9, 0x848cbb98,
+    0x5021cd0f, 0xe3abd44c, 0xa63aa66c, 0x12479f3a, 0xaca7747f, 0x5ba9d88a, 0x3f588088, 0xca133e37,
+    0x2bd8b26e, 0x134e00ff, 0xfa771673, 0xf834f9bc, 0xa23d57c7, 0x0715fceb, 0x14b4e7c3, 0x8507367d,
+    0x428e78eb, 0x24242df0, 0x5df1b830, 0x717d79cc, 0xf20c9306, 0x05c488d4, 0x593d72a9, 0xea0ef5d5,
+    0xf3c6e24e, 0xf2884050, 0xdba81093, 0x8a3261f9, 0x07fe80c8, 0xd96b4c64, 0x14f8e234, 0x67a59545,
+    0x5af18869, 0x35d2a30b, 0xff05d483, 0x7e568deb, 0x04a24d4a, 0x36b0e8a6, 0x2285c8b5, 0xb119782d,
+    0x71b10c09, 0xb54ec3ed, 0x7e451f28, 0x404dbf8d, 0xb75156c6, 0x28d8eef8, 0xea014367, 0x47ac90f6,
+    0x33916d52, 0xc20128c6, 0x33f26b74, 0xcb2b1c54, 0xd4f8a69b, 0x31791669, 0x40131acc, 0xcc35cf7e,
+    0x29c12a08, 0x051648b6, 0x9f879e02, 0xcb8ac2ae, 0x0005a7a0, 0x973cdeb1, 0x338b274c, 0x85721244,
+    0x4e3bfdf9, 0xe50074f1, 0xe0475922, 0x75c5eada, 0x2c812ead, 0xa7c5775f, 0xd820e862, 0xe3d1362b,
+    0x8cd7db6e, 0x7e296b4a, 0x1d916db0, 0x1e9d7aad, 0x58a0dcdc, 0xe9acedf9, 0x74901aa9, 0x0bacf318,
+    0x7b3d92db, 0xc13f948e, 0xb39fc4fe, 0x04bd858b, 0xe353203e, 0xd3b4128c, 0x6f6d4f7c, 0xedc1acd7,
+    0x84952e27, 0x6e7b385b, 0x0ba2f978, 0x6950096b, 0x880264df, 0x4f145d89, 0xe06c8f20, 0x4b71f722,
+    0xf4b4d634, 0x0b38a4ce, 0xde7a0b6e, 0xb55ec83c, 0xedbfc82e, 0xba07ac3a, 0x59862b92, 0xdcdecec3,
+    0x3f271a32, 0x5d512f5e, 0x8e9779f7, 0x9006bd71, 0x0de5a5bb, 0x1ee36fb1, 0xfdf9f64b, 0xf004c091,
+    0xcdb895db, 0x96683ff9, 0x6da7ed6a, 0x04d45de0, 0x2300f5ed, 0x9d25681b, 0xf55c482f, 0xc36c946a,
+    0x033c3427, 0x2394dc60, 0xc93bc707, 0x3b3236e1, 0x75fadc46, 0xdde9eec1, 0x6959e974, 0x84886410,
+    0x769f6fe7, 0xbe2dcc15, 0x371b7138, 0xd0445f79, 0x940752cc, 0x64c99cc4, 0xfc2f1579, 0x8e4ce427,
+    0x89d01be2, 0x8a407494, 0x5ec1fe0e, 0xd8d2c30e, 0x77791945, 0xa902714e, 0x323cdb45, 0x6dfa304f,
+    0xdb6d469f, 0x4c50cc9e, 0x133f1d0f, 0x3083bc01, 0x4b25ced0, 0x6c29430d, 0xa734de01, 0x93516bf9,
+    0xaaf4efa9, 0x49c45a2b, 0x8924163c, 0x205b42db, 0x6279ab30, 0xfce245b2, 0x7d624143, 0xeb1cc321,
+    0x98c255cc, 0x02687d8c, 0x4c14eccf, 0x15e4452f, 0xd612b5f7, 0xb985ee9d, 0x36e293cc, 0x67d8d2ac,
+    0x681d3ddd, 0xbde48ae2, 0x96d0d764, 0x859139a0, 0xcc13a09c, 0x886bd0ac, 0xeb46c371, 0x1d9fbbe4,
+    0xef2febd9, 0x89dbb695, 0xb74c3d6b, 0x7755aa32, 0x6f3371b3, 0x7c698fda, 0x763ba160, 0x0c1b8f28,
+    0x907f1cc3, 0x4059733d, 0x90e59559, 0x1ac39844, 0x5fc7a61c, 0xa0e8a499, 0x263af0d6, 0x08b361b7,
+    0x9d927d83, 0xe564944a, 0x22ccb3c3, 0xf8fa4c68, 0x5eb2de62, 0x83003bbd, 0x485758e4, 0x32f391e5,
+    0x34267b1e, 0xb90f62bd, 0xdca0d74a, 0xc84e53f1, 0x45a361f2, 0x83f28b61, 0x486c13a3, 0x705e6bf0,
+    0xf61e3775, 0xcae8e29b, 0x732b3835, 0x3e63733d, 0xaf794e22, 0x7e32eace, 0x6a6cc424, 0x20868a7e,
+    0x85c2060a, 0xc773a0a2, 0x50d34bc2, 0x2eb10d3d, 0x0615c61d, 0x9b769f20, 0x2197dfa8, 0xdc716dfb,
+    0x22d23148, 0x209b127f, 0xd7cd465d, 0xb41e1072, 0x1f993596, 0x6325f86f, 0x9e6eb2e5, 0x42e572e0,
+    0xa3b0ee74, 0x68571815, 0x28e6795c, 0xc37b8748, 0xd6f3a842, 0xd9c4e24a, 0x058e8104, 0x9400ae18,
+    0x2bd951fe, 0x7749e0f1, 0x60c147e9, 0x9b80ab8b, 0x5eeef4c5, 0x1d615124, 0x53890eaa, 0x4369e8db,
+    0x23342b7c, 0xa28c134a, 0xe23990c7, 0x186dda93, 0x5547a3e5, 0x8d308a30, 0x0293bbfa, 0x3d2d9eea,
+    0xc79a67ee, 0x2eb82ca4, 0x1494cb79, 0x7c4c2a77, 0x7b88497f, 0xf09a0b9e, 0x849a78ed, 0x256b32ef,
+    0x91a508bd, 0x0345a41f, 0xb1a9525c, 0xb7b40523, 0x7b05efbb, 0xbe237c7d, 0xf3e82851, 0x4d235763,
+    0xe6bc1f42, 0xa77e871b, 0xc8b162c5, 0xaf937e52, 0x13552d05, 0xd5c8ad18, 0x8232372b, 0xe4ded94c,
+    0xbc9d62d4, 0xd1e44f4d, 0xb237e74d, 0xcc925b91, 0xb6e84d5a, 0x15801f00, 0xa2bd382c, 0x7fd81470,
+    0x23399b3d, 0xbba40dc4, 0xf6efcf56, 0x2c32e9ba, 0xd17842fb, 0xf8994327, 0xf36668c2, 0x009b98b6,
+    0x96e74835, 0x35c2ef5c, 0xe1f89485, 0x373fef87, 0x24c67498, 0x001201aa, 0x15913a0e, 0xef614e3f,
+    0xf63bd228, 0xd0e1b8f3, 0xa55a3e79, 0x33959dda, 0x92fcf89f, 0xd096f73d, 0x29ad5629, 0x6cbc555a,
+    0x143c5cf2, 0xebddccc6, 0xa0af3db9, 0x8464322d, 0x37151106, 0x80b474ec, 0x2f141bed, 0x9be0e74e,
+    0xefed1989, 0x708089ce, 0x54bb1595, 0xe3a79448, 0xb141b598, 0xca6b95e5, 0x032d90c6, 0x94a27655,
+    0xabbc7e4c, 0x8189a425, 0x32933d38, 0x39c07b37, 0x6a72588f, 0x3889c761, 0xac604ec2, 0x675494d3,
+    0xbe155a38, 0x7eeb1f15, 0xdb4e338b, 0x82f54677, 0x872ec908, 0x4195b56e, 0x7c3ad387, 0xb647e67c,
+    0x5f3eeca7, 0x6dea4247, 0xa243bb93, 0x0c84604c, 0x66a7f4f2, 0x8be3b1c1, 0x72142938, 0xecea06d9,
+    0x2dbdbfe0, 0xea18a22e, 0x778773ae, 0x60bd298b, 0x741bbb81, 0xaa364d3c, 0x6d47dde2, 0x522febdd,
+    0x5764bf47, 0x2b4d0fa9, 0x7fb3cd9c, 0x738238fa, 0x925fdbc7, 0xa06f2453, 0x8f64241c, 0x75a94536,
+    0xc8cda561, 0x96a1f409, 0x6a3358aa, 0x66da4692, 0x72b722c0, 0x37d90fba, 0x926614d5, 0xa5c78772,
+    0x9c0ea399, 0x7306e7ae, 0xccc23392, 0xde0490df, 0xdcd25930, 0x9ec4bb9a, 0x8c2091d0, 0xcba72958,
+    0xa30f9ea6, 0x4455ca88, 0x189a0375, 0xcdb70abb, 0xd19b7e6d, 0x89befa51, 0xb205f0af, 0xe03ec33d,
+    0x91d7e20d, 0x607ea1f8, 0x045f8c8e, 0x25392933, 0xa382889d, 0xf941f12e, 0x2c900203, 0xf3a3f928,
+    0xa4952a23, 0x0056d1b4, 0xb199f511, 0x2a4d7915, 0x57ffd886, 0x640b3675, 0x32ba5933, 0x67fa062e,
+    0xebc21e3e, 0x2409feac, 0xe4a8d204, 0x7ca9a6a6, 0x56f09fbd, 0xaacfabfb, 0xaa1e0d94, 0x16770fc4,
+    0x62e5b6a9, 0x69d42ead, 0xd399733c, 0x7f862b75, 0xc929a3ad, 0x09cf7dc6, 0x9c6723a3, 0x4300d140,
+    0x1fcd7727, 0xb3a9cb57, 0x45f53f4f, 0x6c6403ed, 0xb9116441, 0xe42c4fe8, 0xeb457530, 0xfad40354,
+    0xa4c1d700, 0xdbdc7bf1, 0xe674bf1f, 0x9395baa0, 0xfd60905a, 0x14bdd2ff, 0xf5420b87, 0xde1065b4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000340282366920938463463374607431768211456 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81201, 0x64a04965,
+    0x00000000,
+    0x9dbcc90f, 0x701e3ae5, 0x6760b5c5, 0xd9deb102, 0x1d451509, 0x57b53a58, 0x6ea2b3de, 0xeba318fe,
+    0xf80b7069, 0xbf1a36ca, 0xf79a7101, 0xb024aae4, 0x1eea11e6, 0xb0969f7e, 0x1e7efa5f, 0x7fde34f6,
+    0xba55cdaf, 0x088be4e0, 0x210d8304, 0xc8052473, 0xe4f80b71, 0x58c78f06, 0x43ef1776, 0x8e3b2182,
+    0xf761df6f, 0x2a542035, 0xd8c025ad, 0xcc9fecdc, 0x83c45e8f, 0x6e14429f, 0x6ae9db12, 0x5eb38a63,
+    0xa7a4d95d, 0xd747a00d, 0xd0876822, 0xbd4ff6d9, 0xbe8e7e4a, 0x712b708a, 0x66e36198, 0x9fe41281,
+    0xc6707786, 0x6e3140e5, 0x7f4c52ca, 0x7d7f3410, 0xa8b52fd4, 0xfbb58c5e, 0xfc04c1b2, 0x6034bb9a,
+    0x83996d7d, 0x3c741d51, 0x301ef3b6, 0xa380d213, 0x07101edf, 0xa13a9f77, 0x37aa6c78, 0x064b78b8,
+    0x095088ff, 0xcde2f246, 0x686823f1, 0x8884bc81, 0x07855b3c, 0x9c33cf6f, 0x0e780fcb, 0x597c1395,
+    0x6bdf3753, 0xe766f402, 0xb678cbae, 0x73c74c26, 0x27f9f399, 0xf160f870, 0xee50df77, 0x3d29ee46,
+    0x2b54ac98, 0xa37f8434, 0x2792d842, 0x0ef9c9b3, 0x754faa3f, 0x620f01fe, 0xce656552, 0x3a1f372b,
+    0x14980c3a, 0x09b9cdb0, 0xdc117ef4, 0xdb8143e3, 0x7e4f27df, 0x997796af, 0x0a3f3dc2, 0x8b988f35,
+    0xded175d1, 0xfca61020, 0x8f6a740a, 0x634d44e6, 0x7653a1f2, 0x3edff169, 0x28ef5221, 0x3033c33c,
+    0x5039225f, 0xc9c77938, 0x075d15ce, 0x49b5f998, 0x824ed079, 0xaadebe6f, 0x62dbfb83, 0x29054574,
+    0x8955e829, 0x4c116f77, 0xfca4d738, 0xf43818e1, 0x57995ee0, 0x42e2d23e, 0xa5eb217d, 0xe082b1a1,
+    0xd0018e32, 0x4d83c03c, 0x41a8f214, 0xf2858b1a, 0x2c4c611b, 0xfdf85c9b, 0xf59e46ed, 0xea2a12ac,
+    0x2002cee9, 0x53c75b13, 0x5ff59da0, 0x997b0626, 0x6b6b097e, 0xf57cb230, 0xb8a56235, 0xf2f64e7c,
+    0x5a43ca3a, 0x3e7ec6e3, 0xde92b72a, 0xda0141b6, 0x462d40d0, 0x25c77f7e, 0x88a8f1f6, 0x67854b66,
+    0xb7961d7d, 0x2d6d6c03, 0xbaaa502c, 0xe27c0651, 0xa0e4ec19, 0xf5a4087f, 0x632ceb1f, 0x5b1780b2,
+    0x51ae8189, 0x9f5c059e, 0x0d9d80a9, 0x931be49f, 0x2e83bb7d, 0xb574ab88, 0x67fe5901, 0x768aa3b5,
+    0x17fecaf1, 0xe9650934, 0x020155d1, 0x2d167c97, 0xc9a32967, 0x330946ee, 0xd1938ddb, 0xbdce8d01,
+    0xf50b782e, 0xa489ce43, 0x8285d739, 0x005772aa, 0x2c015174, 0xc7d169e4, 0xf9c4db6e, 0x0023ea55,
+    0xa50a81cf, 0x8db7e93d, 0x6e735cf1, 0x4b8c311f, 0x59ebc569, 0x3fced3e4, 0x9ad6f75a, 0x2d478c0e,
+    0xc0e77612, 0xeba22f42, 0xd7c24ce1, 0xb54d6952, 0xbe0c8199, 0x47404896, 0x25b16881, 0xd57de248,
+    0x8b9b072e, 0x9e70f435, 0x5c753518, 0xe20da2da, 0xfeb02e65, 0xfc8fb7dc, 0x8f3fc288, 0x75ea4b53,
+    0x1e628a28, 0x536d5d3e, 0x56caefce, 0xc8464471, 0x7a43e4d2, 0x05d8d0ca, 0x8fa3a08a, 0x7934aace,
+    0xa58b4050, 0x3e9d1bfa, 0x7b673e61, 0x1dc35952, 0x2afaf285, 0xa5c4c181, 0xa2800932, 0x57b98a49,
+    0x932497b0, 0x16e1ea0a, 0x893b7ca2, 0x48c57061, 0xc8adc5d1, 0xe8b532fe, 0x70f3c29a, 0x46f7b645,
+    0xf549e3bc, 0x0e0551c8, 0xc9b4e1b5, 0x3ac5537d, 0x5546990a, 0xf402b602, 0xfba3f96d, 0x3d8dede3,
+    0xc02198df, 0x6c46b5f3, 0xcf4b71fa, 0xae9f7408, 0xd7ca2024, 0x81372941, 0x33ef11d9, 0x6f4ca670,
+    0xa80c654b, 0x82529423, 0x97cc4ec2, 0xaa3f4703, 0x02b44f66, 0xb7ce4e0a, 0x464f215f, 0x9200dae9,
+    0xaa11afc5, 0x3e210d6c, 0x7c604a4a, 0x6060fb5b, 0xb31bb41d, 0x9a9613d1, 0x9724707e, 0xac1018a6,
+    0xfdcb0b08, 0x240e8877, 0xc8deb688, 0x5cea62da, 0xa2ac8f92, 0xe7b3bc09, 0x9a2a90c6, 0xad5c3803,
+    0x2e20ad1c, 0x2f7829ac, 0xdfce9352, 0xf833c031, 0x84b86ec2, 0x7d3f5c24, 0x5064a8f0, 0xbf555c96,
+    0xb35056b1, 0xf9bc71ca, 0x08c993b9, 0xc2dd770d, 0x22e4706f, 0x4e521659, 0xb49e4c60, 0xd9116376,
+    0x9b9bc4d5, 0x3eadad4a, 0x3e2a6c23, 0x7f8f4b1a, 0x39cab6c2, 0xb0693746, 0x94b804c7, 0xe1ccadb7,
+    0x81223aeb, 0x5425bcdb, 0x04c33138, 0x20b63c52, 0x6dcfad3d, 0xafde3a32, 0x9242fdc9, 0x0b2068a8,
+    0x2b014981, 0xfbc2cbdf, 0xc8aa611a, 0xeeb62fe5, 0xf48f6a1e, 0x8d68e5e3, 0xf01c9b9d, 0xc1aeb9c5,
+    0x8203810b, 0x2ea0002c, 0x893563d0, 0x6f59d3bb, 0x18601977, 0xe685e539, 0x64be520e, 0x45b80c08,
+    0xd4bf7bb4, 0x7f8a4f9b, 0x8048373e, 0x5cfca31f, 0x34c0643f, 0x2693e359, 0x7ac31917, 0x9583f7f8,
+    0xc836d5e7, 0x6c7a6a8b, 0xb05edffa, 0xde77951f, 0xa9077246, 0x109ae30a, 0x77056e9a, 0x068c1b41,
+    0xd52009da, 0x4afe3f9d, 0x15ea6c52, 0xc8fde555, 0x458f047d, 0x35f70755, 0x961af481, 0x791eff4b,
+    0x0f4eaaf8, 0x0b2c34ca, 0xe239c8ab, 0x86fafb61, 0xdd844af9, 0x4cd7bd53, 0x5696533b, 0x415a3353,
+    0x5f1f185d, 0x298d6a2f, 0x6c4952b2, 0x408f2b9d, 0x8afd40c6, 0x88cf535d, 0x883ee753, 0xf49493be,
+    0x4179158c, 0x3346632b, 0x6d8dd503, 0x5ef2b17e, 0xd9be7811, 0x9b959838, 0x544659c8, 0x2227c936,
+    0x7bb5d4e3, 0x2a3f97fc, 0x413362d0, 0x3fb8abc5, 0xcd806dc3, 0x8cd87c10, 0x31cc7cb9, 0x0c938edf,
+    0x3af92a35, 0x5afed4a1, 0x4dae33a5, 0xd1519f97, 0x442f1492, 0xac0f51e4, 0xe61071f8, 0xd3e4d1f3,
+    0x1f26a1d4, 0x49a95723, 0x46a64ff9, 0xc956c0d8, 0xc875550a, 0x95684ad0, 0x2cd0643c, 0x223b2359,
+    0x61c48f45, 0xb4d8640b, 0x8baedd36, 0x86ae2dfd, 0x58031516, 0x9a402586, 0xfd4710e8, 0xb4a96045,
+    0x02a1f548, 0x1d8f5a46, 0x4994f4b7, 0xa74e9842, 0xc7c7d38b, 0x9be2422b, 0x46464b73, 0xbcdb4532,
+    0x14915900, 0x3e3a9092, 0x34cb77f5, 0x43688428, 0x8dce8b9f, 0x0e6f5b2c, 0xf3da4f37, 0x0f3ca8ca,
+    0x0874571b, 0x2c6670fc, 0xaad5967e, 0x4a3b1d72, 0xaebc9c9d, 0xf459cadc, 0xc3d6c512, 0x03b3d2a5,
+    0xb6a0e96c, 0x7b1348d2, 0x2e726985, 0x888a81e3, 0xf1f427e5, 0xf7cb8988, 0x64a61f52, 0x7bc35b8b,
+    0xf2d6ca19, 0xaada30c7, 0x998124db, 0xbee4e07f, 0x84f52600, 0xb1080cbe, 0x58f49fbb, 0x50db804b,
+    0x95567c11, 0x0a630cba, 0x864ba1c8, 0xa5199a8c, 0x52692691, 0x16cbe08a, 0xc3c7fb66, 0x3a64bf09,
+    0x117812fa, 0x7763a980, 0x10152c84, 0x23ce27b7, 0x7809c2b6, 0x0ed9fc25, 0xb4d60adf, 0x09785f75,
+    0x6a924865, 0x3e5c39d2, 0x41ec9a17, 0x5f8da092, 0xb086b606, 0x0480ba3b, 0x289ad194, 0xd1ccf89b,
+    0xdaa61973, 0xab77a35c, 0x899b09ff, 0x6874a4f4, 0xa00061fb, 0x6c739941, 0xde3bbd4e, 0xafeb2caa,
+    0x6c806d20, 0xd631659c, 0x05f500f8, 0x5ebfb973, 0x430810a7, 0x9c2070c7, 0xe67836e0, 0x05eb4ea8,
+    0xcf242b88, 0x7ad190fe, 0x87aa303c, 0xf7a61d17, 0x9f873e3e, 0x6624714b, 0xb7bb9e82, 0x13661f1f,
+    0x876b431d, 0x34deb550, 0x79f4162c, 0xea22834f, 0xe4efaa88, 0x608988f7, 0x55c339c9, 0xbb8b1abd,
+    0xcb60de09, 0x54c2b81e, 0x6bbb9d60, 0x0a07919c, 0x8b5a26a3, 0x2b94dee3, 0x29b818f0, 0xb4f57af4,
+    0xe4018093, 0xabca3a70, 0x01f49778, 0x2c9780e5, 0x6066baf1, 0x56fa747d, 0xc0bea25c, 0x2f2bf0a3,
+    0x0eaedf89, 0xd7195149, 0xe97ffecd, 0x8f4cfc7c, 0x378536a7, 0x8aa00527, 0x090ec927, 0xb7ee3de9,
+    0x9a15f357, 0x360c9289, 0x89f92056, 0x64577a1a, 0xf839288f, 0x5105a674, 0x55fd88ec, 0x2678a5e9,
+    0xb5728643, 0xcd21491d, 0x7703f8aa, 0x0f8bbea5, 0x14ccfe3a, 0xd8403899, 0xb7c3e0af, 0x39d81900,
+    0x3552fd80, 0xa2597ea5, 0x6d75e35d, 0x2ca20a31, 0xdac10115, 0x880ae9e7, 0xc3869956, 0x550627ed,
+    0xd1cf8bf1, 0x26840ac6, 0xb7909406, 0xe496e46a, 0xa06dc8aa, 0x04803e8f, 0xee05f217, 0x2235279e,
+    0x0fc261cf, 0x14047b8b, 0x9ee9ebd2, 0x10718ead, 0xc860fdea, 0xcb0e2cd0, 0xdef9632e, 0x08ec1b84,
+    0x63e0771a, 0x18735ddb, 0xee01c042, 0x541ae9d6, 0x9390a912, 0xb5b0c5e9, 0x6af90678, 0x51a96586,
+    0xd05313e4, 0x9b937f2e, 0x3ac7396e, 0xe26c18f3, 0x21dd9a97, 0x03058a1c, 0xcb3a85e3, 0x1c597029,
+    0x84d98ce3, 0x62e97322, 0x3526d02c, 0x3a69c3cb, 0xc545ac55, 0xb5d94434, 0x0c4b633c, 0x09900fb6,
+    0x0c47ae8c, 0x38b2f7be, 0xddc1752f, 0x7298832f, 0xaef09cb9, 0x9578d81e, 0x6ed6b5fb, 0x0ffac0ca,
+    0x36e01118, 0xe2fe2dbc, 0x65a668b1, 0x62f37bc5, 0xabf6f68d, 0x853e3e22, 0xcb873f55, 0x1e742255,
+    0xa1bcb7ee, 0xe08c4f73, 0xa92b8dbb, 0x4c21a275, 0x37c8aa66, 0x05a3340f, 0x931c1a21, 0xa924f9c5,
+    0x83a9c510, 0xab91d1a6, 0x52e89a1e, 0x6b287842, 0xe9705377, 0x7a758dff, 0xb2539852, 0x682270c8,
+    0xd46aac08, 0xa4f33295, 0x64b15fe1, 0xf12fc2d2, 0x6894d875, 0xdc1b7907, 0x906a3505, 0x0585591a,
+    0x1a3fc89d, 0xf7fa06f0, 0xfce7b240, 0x30de470a, 0x4b4ab15d, 0x910c7357, 0x39875cf5, 0x7eedb7f4,
+    0x2df19e89, 0x102c5676, 0x6dfe1339, 0xd1ec66ec, 0x157d66c3, 0xa5c54dbf, 0x279e0be5, 0x2c36efd1,
+    0x0fda1295, 0x55d09a83, 0xa4aaf466, 0x0bd084f5, 0x8963f4c7, 0x8baac5ce, 0x1544bf98, 0xd44d205b,
+    0x2e1fb883, 0xbaf73a8b, 0xa4a3a03c, 0x79fca1ce, 0x7f9f66ba, 0xf83eaec0, 0xea8e4310, 0x7c46f050,
+    0xcca0a8c7, 0xec381d1f, 0x6ea8d4d5, 0xa5ac189f, 0x0d06067f, 0x1983a436, 0xe79c6738, 0xd32dc9e6,
+    0xb874fbb0, 0x2843047e, 0x0bcc4d3a, 0x27ed7c1c, 0xf9ef82d0, 0x9a31fc3a, 0xf81b0751, 0x76af4e4f,
+    0xaafd777a, 0xd6868d06, 0x224113f6, 0x06d610c4, 0x57b14987, 0x6a9d4150, 0x42c70cec, 0x40fe9571,
+    0x3b4c71ec, 0x39c5f1c1, 0xe7bd5ca3, 0xb371b23d, 0x1f355a54, 0xa82db226, 0xfde4d581, 0xa9aee47e,
+    0xcc1a1966, 0xe476164c, 0x5cc1ea02, 0x76772e08, 0xb53e58a5, 0x9a68d7db, 0x20bb5c72, 0xb4a2df64,
+    0x507ce277, 0x6f66badc, 0xe126dd38, 0x65867c41, 0x385723f3, 0x70140d96, 0xb85d093d, 0x5df1ac9d,
+    0x11c72a65, 0x16bf820d, 0xd5d9df06, 0x27f25f43, 0xb5e60c70, 0xcfa2858f, 0x345fdb47, 0xa02afbd1,
+    0xa447f931, 0xb9326244, 0xec614c98, 0x27718849, 0xdc50416a, 0x91ccfb8d, 0x69f2b81a, 0x89503897,
+    0xdfd04e81, 0xff15b99e, 0xd7ae3c05, 0x127ddd1f, 0xce08d26b, 0x80e8a876, 0x2f7b1f9c, 0x121a33ef,
+    0xfc3fb56d, 0x8be12cc5, 0xf7b8e711, 0x74f5a3f7, 0x9857ec7f, 0x1c43a0e2, 0xe6b3b7d5, 0x604b6108,
+    0x8f3a6edd, 0x17c943bd, 0xe585a70b, 0x5a3b5f39, 0x4f9d80e4, 0xd99f6ff1, 0x63f47aee, 0x4ff630a8,
+    0x9a137fe0, 0xbb8ebfac, 0x5d047867, 0x49fe9be5, 0xcc85ceba, 0x5a453e05, 0x86177798, 0xd46d2498,
+    0x9d4b1c0a, 0x8ed43fe1, 0x9066fcf0, 0xad0166b1, 0x5af27977, 0x13a36bce, 0x59ab211e, 0xf25aa701,
+    0x70590ad0, 0x8250fa62, 0x69bbfea5, 0xcaf98986, 0x7de9d9bf, 0xf93f95ca, 0x65a1cc61, 0xc5b5c6d5,
+    0x0c7eaf7b, 0x3c5735dd, 0xd62579e2, 0xcb60e380, 0x5f4e6aa9, 0x1b7d6ab8, 0x3b380230, 0xc4188970,
+    0xb388897a, 0x0587ace9, 0x73a35af2, 0x43078d0d, 0xd092a851, 0x736c0275, 0xa22917ed, 0x83621972,
+    0xab2c3ab5, 0xf996e7e2, 0x654229a4, 0x60ae4baf, 0x75494b3e, 0x41eaa678, 0xcb4b2080, 0x861ce60b,
+    0x76c1c04c, 0x69a0e543, 0x2d833ab4, 0xab6ccaaa, 0x6a2a71ec, 0xa6a1fdc4, 0x0f174d86, 0xd3a886d4,
+    0xfa9c46d5, 0x06fdfe2a, 0xb1f061d2, 0x749b6189, 0x6df9b583, 0x1d1165cf, 0xbf4f6f16, 0x0ff523f0,
+    0xda43d6f9, 0xec157b47, 0xd5ea54f1, 0xba15e936, 0xaeac691c, 0x2eb5bd67, 0xf29e2fd2, 0xe6e6e8d7,
+    0xd00e6de2, 0x116d2165, 0x30797679, 0x5ed95286, 0x8b21a2ee, 0x22a0e3bb, 0xc4514677, 0x2b69de27,
+    0xf1ff0f50, 0x88fb6989, 0x150bc3b3, 0xebd43391, 0x0d849951, 0xf51892b2, 0xce288ff7, 0x3ec12c53,
+    0x1a718d19, 0x35c4868f, 0xd19fd70f, 0xe2e5750b, 0x783415f9, 0x6697a2ad, 0x7d405aea, 0x3b1360d9,
+    0x9d9b523a, 0xad9afae2, 0x074d40d4, 0x0ecc4347, 0x0a30173e, 0x1fabd3ae, 0x9105feff, 0xfd6909a2,
+    0xe2c2211a, 0x23a3aa8b, 0x36ce9f48, 0x2aad247f, 0x0c3de9be, 0x9c7a8489, 0xa9a8a54a, 0x52317e29,
+    0x72618f80, 0x7b87e87a, 0x5d7c340a, 0x86974ec8, 0x9ee9eb08, 0x1e0976a0, 0x72ba8a9b, 0xc8333382,
+    0x2ebca90a, 0xa8950ba8, 0x28a5b151, 0x658796ce, 0x3e4bccba, 0xa0b6172a, 0x6dbf7edb, 0x9d5a7e58,
+    0xe3de6064, 0x75e7352d, 0x2df6f2af, 0x1dd895c1, 0x9e5965d8, 0xd3dcbea7, 0xe5fd186b, 0x3f89d53e,
+    0x0533aac9, 0xa58c22c9, 0x5194c10e, 0x6968e1ec, 0x1fe215e7, 0x81320d1c, 0x13cb0b38, 0x953ef6bf,
+    0x7c8e7648, 0xfb1d3821, 0x64551953, 0xa317d319, 0x4e12fff0, 0x250281d2, 0x61731e91, 0x3b519b0a,
+    0x4792a9ef, 0xdf8925a4, 0x043edc6e, 0x8eb15f17, 0x8f6b023e, 0x513b5db9, 0xb927ad94, 0xa261cf5c,
+    0x19d1240a, 0xee0421f9, 0x5bb197b7, 0xd42870d9, 0xa2053a2e, 0x0bb526ce, 0xfab96d73, 0xdada7666,
+    0x8741d7ec, 0x8841dd9c, 0x7c6c14b5, 0xbbfbda6a, 0x5eff9010, 0xe9cc767d, 0x7c743858, 0x90b27c5d,
+    0x10be8518, 0xf1f1e7eb, 0x74c6e1d7, 0xb51a6cf3, 0xbe79e0f8, 0xa49384fe, 0x1939eb31, 0x780dc42d,
+    0xc5e2ddff, 0x5e99c46e, 0x2e00cc58, 0x0d1d799e, 0xd7f2e95a, 0x1f66500b, 0x4d0112ee, 0x950b89fe,
+    0x89d150dc, 0x07821c00, 0xa8024c12, 0x21814293, 0xd743c743, 0xc1a974be, 0xaccaf630, 0xb829251f,
+    0x0bae3317, 0xe9d72090, 0x451690dd, 0xb1a90577, 0x4eb515c7, 0xa8bf383f, 0xeea9174e, 0x3142fea7,
+    0x325da87a, 0x6ad52e3f, 0xde248860, 0xc803ad78, 0xb831e70b, 0xf9ba7ea4, 0x5a1ada0c, 0xbe55543b,
+    0xd3ea6c90, 0xa6d9ebd2, 0xcbcf903c, 0x7ca5ab52, 0x7a719ab5, 0x04e0aa35, 0xe4bef0e0, 0x64a01dac,
+    0x2dfe2692, 0xab4d70b6, 0x2e35733a, 0xebeb0c95, 0xcfa33f25, 0x7934e973, 0x951ca491, 0x73e574ec,
+    0xf68a4011, 0x2e929480, 0xcb4f07da, 0xee3f3538, 0xf63b7894, 0x59ad1d44, 0x569856a5, 0x4687d1f0,
+    0x1222b759, 0xbba3a469, 0xd28c4033, 0xc7a31d52, 0xd0d4eb20, 0xba488b99, 0x6771a1cc, 0xf746cf44,
+    0x6286b194, 0xe28bed8e, 0x1b5b447b, 0x0c234dd7, 0x18c49f18, 0x6cc842ab, 0xe3f11d71, 0x0a820da5,
+    0x1ffc2a1e, 0xec02d37b, 0xd6a6c295, 0xe67a6347, 0xc33d27d0, 0xd8c99821, 0x870a1e73, 0x64b41ac5,
+    0x6d241642, 0xfdf83822, 0x35592001, 0x019e7bc9, 0x110e2053, 0x7a23205e, 0x14c55857, 0xdddb0b76,
+    0xbd838970, 0xa9d80926, 0xe277796b, 0x515e2855, 0xa1ef27d8, 0x524da3de, 0xe021d930, 0x9367d024,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000170141183460469231731687303715884105728 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d40900, 0xb25024b2,
+    0x00000000,
+    0x8e17c866, 0xd8f820ed, 0x7e267f96, 0x4c4b4687, 0xd73509cc, 0x2c18e773, 0xd07690c6, 0xce04b5ed,
+    0xdfc6c13b, 0x25e4cd73, 0xb7246df1, 0xded18194, 0xdc40219f, 0x03a60b53, 0xf5857420, 0x983bfd2d,
+    0xe780b5da, 0xc5f5a81f, 0x353a4bba, 0x472a79a8, 0x853ff76a, 0x00d38aa0, 0x0b3c4118, 0xe35f8148,
+    0x22189a66, 0x86d49e7e, 0xf3d28026, 0x0b18f2cc, 0x0614834c, 0x0fd438d8, 0xf8e01465, 0x0a1fbd3b,
+    0x255b83cc, 0x6ee7afbe, 0xb24c2906, 0x89b39083, 0x0aa944bb, 0x3a16009c, 0x63fcaee7, 0x048f8da8,
+    0xd31c9a73, 0xfd69ac76, 0x2bbebe63, 0x54bf4e61, 0xe87be511, 0x4a0acb77, 0x91217e3c, 0x2c1cff4c,
+    0x010a7178, 0xec472f12, 0xc7776661, 0x54fe1050, 0xc9ec79ad, 0x3ab3c72f, 0x505f8e1c, 0xd883c5d1,
+    0xa8c50b93, 0x36e3c6b2, 0xe72642d0, 0x4421d541, 0xb48869de, 0x2ba65d20, 0xd242eb88, 0x48f958d5,
+    0x1acad8a6, 0x541fc6c5, 0x87c78eb6, 0xdddbf24b, 0xa3660c35, 0x5bb87ae6, 0x8f780196, 0x61dc9b7e,
+    0xe0f4f180, 0x2d8d1e6a, 0xdbc6e6eb, 0xdf8df61d, 0xdac35974, 0x86bb62e2, 0xa609bff1, 0x712a9acc,
+    0xe0a5ab23, 0xbc3b4fbd, 0x7aa123d4, 0x4d5ba882, 0x41c46503, 0xa50b77d9, 0xa87d306f, 0x51199799,
+    0x043018e4, 0x61d68519, 0xf31ec437, 0x9a8d4e57, 0x9aa26e96, 0x36fd349d, 0x4ccdb0d7, 0x76eae5d5,
+    0x22ac057b, 0x3555d53c, 0xe9d6bffb, 0xae66c740, 0x055316a4, 0xf0cb02d0, 0x18b84201, 0x739508e9,
+    0x941cca9b, 0x201117ab, 0xafe3580f, 0x5b0f7b60, 0x2fd2b2d5, 0x4c75f510, 0x7771b8e6, 0x6f31e64b,
+    0x8e5023c7, 0x9e91c127, 0x71b1fd96, 0x71f10956, 0x4fedce54, 0xb8ff9d26, 0xd3601d95, 0x93325399,
+    0xc388e1e1, 0x09daef7d, 0xf1115065, 0x377f2984, 0xa88fc1f7, 0xb9f5b8d5, 0xbdf9e5f8, 0x309fbb39,
+    0x63179606, 0xc9cc2791, 0xc3a66ad7, 0xcbeed6c8, 0x8778adad, 0xb4ead4fa, 0x77fef747, 0x9ccfbd24,
+    0xda14c5aa, 0x610199bb, 0x6dd276b5, 0xa9a259b0, 0x4faa9b44, 0x2843385d, 0x7b6e4241, 0xc6470043,
+    0xa11e073f, 0xde147b35, 0x1265fb1b, 0x676c468f, 0xe4d862c1, 0x9e49a158, 0x99b6de51, 0x4be6d59f,
+    0xed8790ae, 0xcbda922f, 0xe454b3dd, 0xd3659836, 0xcf6f04a0, 0xb11dac14, 0x1b072368, 0x961f4b07,
+    0x7e31eca5, 0x6a3201b8, 0xfbac838b, 0x39a0bc46, 0x720d325b, 0x7e8afa04, 0x20757022, 0xeab8dbbb,
+    0x952d3bac, 0x0b892810, 0xcf381f85, 0x1a4b6b41, 0xf8addbaf, 0x1b0156fc, 0x9c136027, 0x895f393c,
+    0x93fe5b79, 0xbbda181c, 0xb2832aad, 0x5325068d, 0x0da565d8, 0x84612da9, 0xed5bbf35, 0xab7e75b2,
+    0xc83ad651, 0xfc8d7361, 0xe8be6233, 0x16fef36a, 0x85d9d1ce, 0x560ad7b1, 0x816eb70f, 0xd3e9d6a6,
+    0xd61cf6d3, 0x1e67e590, 0x5add1e2d, 0x70b550ee, 0xfa7d3151, 0x6ddd6945, 0xc8b721a4, 0x960d132f,
+    0x0ee199cd, 0x4d3e5715, 0xd2cf7e61, 0xf28e6dc9, 0xc9ab5bb3, 0x3b511e9a, 0xe664ed00, 0x0fc67150,
+    0x206de373, 0x1a1a0862, 0xabc4bba3, 0xaf4e3047, 0x861ab014, 0x5978d97f, 0x006b47cf, 0x828213f2,
+    0xc3a81c36, 0x2322ba1b, 0x48e426d9, 0x5045f7a8, 0x118f940c, 0x33aad0d7, 0xa396b0fe, 0x5e147e2c,
+    0xa13d19b9, 0x8035e544, 0x39675d85, 0xe1d4c2b0, 0x66a8be3b, 0xb28fc429, 0xd686c58c, 0x33aab6ce,
+    0x27f6be43, 0x0d18eb6c, 0x286cad08, 0x99cb19cf, 0x7745d860, 0xd1822f65, 0x744fc790, 0x8e8e839c,
+    0x38570de5, 0x5397c2f8, 0xea01f2b4, 0x224a2625, 0x2c5cc6ec, 0x3ae7a998, 0xb85930f7, 0x0545d22a,
+    0x5fe181d9, 0x71cb0028, 0x1a64588f, 0x3902f542, 0x425554d0, 0x2b869d50, 0xf555775e, 0xcdab01a2,
+    0x3a86bc98, 0x8f9d6538, 0xd231b3e7, 0x582c22a1, 0xee444b51, 0x2f8439f4, 0xa914ff77, 0x9968c2a5,
+    0x074f5167, 0x4af5d05c, 0x1d8168e9, 0x8879ebb7, 0xbfed056a, 0x05f1ec8b, 0xc0773151, 0xbe9eda1c,
+    0x5999d6b9, 0xd633c9ee, 0x147b00ed, 0xc5317f98, 0xde611278, 0xae7ca47a, 0xe8821bf6, 0xe596e79c,
+    0x96e68d02, 0x35d5b732, 0x15911eb6, 0xff9e1599, 0xbd5f1275, 0xac8f757f, 0x23f13c79, 0x434be8f2,
+    0x5bf5ed91, 0xba93965b, 0xdcc61b24, 0x1e2ed0b7, 0xe70d5ba4, 0x2bfa4239, 0x18606424, 0xd611c617,
+    0x91f446f6, 0x9524c9b0, 0xc277e936, 0x65d535fe, 0x4fb49e6f, 0x56b9867c, 0x4112d0d9, 0x117db3a7,
+    0x2c941596, 0x55b3de5a, 0x4016b6a4, 0x30c02fd8, 0x591e5cc3, 0xdc37cec4, 0x93bd11b1, 0xf56f3743,
+    0x6002f604, 0x6cb5a134, 0x30a0d0aa, 0x5eadee6f, 0x4608b038, 0x02719910, 0xadb22dec, 0xc2c0aba7,
+    0x4940b62c, 0x19675e82, 0xf28ec6a0, 0x1aa9dd98, 0xc31155ae, 0xfd412755, 0xf244db52, 0x0b4909d4,
+    0x44bfbf6c, 0xc7c84381, 0x6448952d, 0xe331c33c, 0x7fd36b26, 0x40f612fa, 0x0f18a010, 0xa73c5070,
+    0xb6dd2c20, 0xc9004254, 0x98a6823d, 0x5168f8d5, 0xc3acaf4e, 0x2ce96230, 0xada8465b, 0xf57c91fa,
+    0x8644891e, 0x7f4cf884, 0x9c9d4122, 0x29e294fe, 0x94fd1ccc, 0x08094539, 0xeca2a334, 0xe0f3ea10,
+    0xd5177a21, 0xfb3a100b, 0x99beac9a, 0xf69ded27, 0xe36cb98e, 0xe513fcc9, 0xbb6d7804, 0x3b396764,
+    0x172c452c, 0xf7ec3c7c, 0x39bd7a34, 0x19b9dca1, 0x1f88f362, 0x04cd8211, 0x41b9cf40, 0xd12a1d72,
+    0xb03a5569, 0x9cd47049, 0xc33bd022, 0xa58de9bb, 0xb4206500, 0x4fd6b852, 0x8c6da862, 0xb7cf7402,
+    0xa3189d1f, 0xc248ba0d, 0x4cb4fff1, 0x97bfde46, 0x63e318fd, 0xc2cd67c7, 0x9a0d974c, 0x841f46b6,
+    0x6166e384, 0x594594b5, 0x1c55163f, 0x6e6c1958, 0xbdab0c67, 0xab60e910, 0x5d065071, 0xb07d2fcb,
+    0x777db973, 0x2d164c4a, 0xc55d7fe9, 0x2462ce22, 0xfcdd46eb, 0x25f38321, 0xc4ae7733, 0x9824c785,
+    0x3ef90447, 0x969521ea, 0xd8e96569, 0x1a1aabb5, 0xe4034088, 0x60ca74a2, 0x2c371966, 0x8551b5b6,
+    0x83eba563, 0x71a441c4, 0x8a6cb6ed, 0x642563b7, 0x4a626130, 0xea6ebf25, 0x91e6cb55, 0x27650845,
+    0xcebd21a0, 0xa3bdb90a, 0x987cfc6a, 0xdc8807ea, 0x5b2a0f39, 0x79b4355a, 0xc50d0d56, 0x471a73ff,
+    0x21f36ddd, 0x46f94420, 0x01eab66d, 0x42cd2d66, 0x65b48f6b, 0xd3568c20, 0xe5c21700, 0xe0fb1d03,
+    0xd9df6ebb, 0x8173df67, 0x04a724ce, 0xe63ce82c, 0xdede77ba, 0x51005f74, 0x97c3e536, 0x5a6c7f93,
+    0x0bc310ea, 0xf75de6e3, 0x1119cf73, 0xa19061c5, 0xe949d288, 0x7ea78bea, 0x319cd872, 0x91318a2c,
+    0x499effea, 0x77aedf74, 0xace0e009, 0xfbad98ff, 0xb72af27b, 0xe2ff5c00, 0x2fce5c53, 0x870d5f09,
+    0x9bc30f6a, 0xb4e9f91b, 0x52d5a9b7, 0xc6e28edb, 0x6f499f38, 0x86800c57, 0x47949174, 0x6288310b,
+    0x6a2f8469, 0x593089d1, 0xa802564f, 0xb38a171f, 0xab219164, 0xc1166388, 0x51ba8606, 0x0912a294,
+    0xff9a1b3e, 0x00b9f72a, 0x73ad5343, 0xabbacddd, 0x0f80d91f, 0x0b5ad747, 0xe98fce46, 0xd697f35a,
+    0xccdd8d5d, 0x193bc8b9, 0x84e62f02, 0x7088e1c8, 0x6527e9cf, 0xa997748f, 0x8172961c, 0xbea70bf3,
+    0x62923a11, 0x1820ad88, 0x182aff6f, 0xd62d4cf8, 0x661d3c53, 0xd650a595, 0x8a9b3d2c, 0x8d283cf9,
+    0xb0446ef3, 0x8ab4cd93, 0xfd991f82, 0x36e48e14, 0xe4800b43, 0xf91e7dc3, 0xdb2e23a1, 0xe17ed584,
+    0x444f5932, 0xd45d1b21, 0xd0c5e1f1, 0x346d0cd1, 0xa3ed2be8, 0xdac35b23, 0x595abc8c, 0x8b62516a,
+    0x02436fac, 0x9b9ea704, 0x9e2c19a0, 0x09b8ea09, 0x634573a2, 0xc4320d89, 0xc04d2927, 0xca04bf00,
+    0xb45c6c47, 0x12704739, 0x68047089, 0xd5594050, 0x6cb86d83, 0x22fa2fcc, 0x94e17c37, 0xf92782f2,
+    0xe50685f8, 0x3477487b, 0x7c51659e, 0x219d91f3, 0x3a604e70, 0xc011f764, 0x5cb1365d, 0x230c5182,
+    0x7162d117, 0xe3ab5b3c, 0x4a35d2c3, 0xf5a3d43a, 0xa75ef522, 0xd388b966, 0x66b4391a, 0xfa461901,
+    0x786fdfc5, 0xee9f074a, 0xb06f9a6b, 0xf5aaa63e, 0xba03ff76, 0x19bf7218, 0x09c5b19c, 0xb6ef256a,
+    0x55282b1d, 0x3b230c6e, 0x798300d4, 0xb0c997b9, 0xde9165ed, 0xa8769837, 0x79a769e9, 0xa63f20a6,
+    0xe24fe74e, 0x49dcedc3, 0xbd96adc4, 0xabebae86, 0x5909d9e4, 0x3b7bf972, 0xd118f3d4, 0xe8634aac,
+    0xb6e07668, 0xe7d53a54, 0xa0e2a0e2, 0x66356b87, 0x62aaa508, 0xddd5d7f6, 0x7dbe8d95, 0xc9378b47,
+    0xfb1ff5bb, 0xd573d88b, 0x1520ad20, 0x5ad7ffb0, 0x325ef0af, 0x9976a616, 0xa1c0a726, 0x59dfc9c2,
+    0xf0c13e37, 0xc66d58b1, 0x4d1b95e4, 0xb46fa3a0, 0xcb7da48d, 0x783727bf, 0x7dee4980, 0xee4a7f0a,
+    0x77388203, 0xa3673fab, 0x5b1ca861, 0x1e013a58, 0xc54dd079, 0x55adf5a1, 0xcd721c0c, 0x9e7972e6,
+    0xef7c2be1, 0xaa44b147, 0x03363fe6, 0x33fbabc1, 0x1fd22bca, 0xcfa87cc9, 0x618a8a00, 0x5cf7d233,
+    0x8b3e801e, 0xdd0b15f2, 0xeaf6b73d, 0xe518c103, 0xe9dbbd29, 0xc47da6ae, 0xc828fe47, 0x5f2518e0,
+    0x9fe8b78d, 0xfb7d15a1, 0x51250b8e, 0x24e99947, 0x36fe59d9, 0xad19d246, 0x62c4db58, 0x7d84f6fc,
+    0x0713bf07, 0x8f9fb5db, 0xf9e4ff21, 0x83b799c4, 0x9387a04e, 0x6aac9a47, 0xca9b461c, 0x6317d249,
+    0xef944468, 0x550866c8, 0x25b395ea, 0x0c558ef5, 0x345c107b, 0x7fbb982a, 0x7348567e, 0x5d2721e9,
+    0x5d2991a5, 0x3ee0f662, 0x18b206e1, 0x788b2cd7, 0xec63158c, 0x862c3ce5, 0xb8973b8d, 0x5aabf1bd,
+    0x4be375e7, 0x5e179bdd, 0x70072ad8, 0xd57de4f6, 0x2133d981, 0x6bc401ab, 0x44efd001, 0xf11ef0a3,
+    0x3d10de08, 0x3f03e22c, 0x404286b5, 0xbf597a66, 0xdc34d0f4, 0x6b43e937, 0x009f0bfa, 0xe8825433,
+    0xadf613a3, 0xafdf1a28, 0x96941336, 0x9d594f23, 0xd16bb54f, 0xa8815b02, 0x6bb5721a, 0xd43bdf39,
+    0xfc3db241, 0xec07d6b4, 0x0e95ae70, 0x2e4e229a, 0xdf7657af, 0x9f8a5ce5, 0xa936e329, 0xa924b73b,
+    0xfb3eac48, 0x157c42bd, 0x65b64963, 0x5edc5005, 0xe0a3e520, 0x631eb9ef, 0xa6dcefb0, 0x749a1349,
+    0x447c1e9e, 0x88b9d609, 0xc51ef7dd, 0xd9ea924b, 0xe36f4c93, 0x2fba47bc, 0xbb9e18f8, 0x0d57de55,
+    0xe565f6f0, 0x32122639, 0xdb8dadbc, 0xcb30c156, 0xb084ab64, 0xe8a30b77, 0x1e0c60d2, 0xbee1c190,
+    0x377f715a, 0x0507e6b2, 0x6d28e9a7, 0x9ae0cea1, 0x9a4e933b, 0x8880348e, 0x6e36f66e, 0x113b2b79,
+    0xddce62d1, 0x06bf11c4, 0x99c3729e, 0x934a9670, 0x9e54cf0f, 0xbc9d31f9, 0x34a12c62, 0x0f5c33ec,
+    0x12f35f5e, 0xead08790, 0xb6f319e0, 0x47cbfd5f, 0xfb53cf2e, 0xf34b8a6c, 0xe824724d, 0xaa7728ab,
+    0x26b09d7c, 0x32e90c3f, 0x9d01b340, 0x2d4a363a, 0x2e34fa84, 0x9726da29, 0xf60f98c5, 0x26b336c7,
+    0x409bb8b8, 0x3296859d, 0x047a4dc5, 0xc593b4d9, 0xaa952dac, 0x3786d51a, 0x4d3b18da, 0x49ef8ff0,
+    0xdc73ac8e, 0x1fb4459c, 0x0b19d76a, 0xcc964e5a, 0x57355eb6, 0x5d97f2c3, 0x05f27717, 0x3520ceb7,
+    0x0eba6d9c, 0xdb97c6b3, 0x910b105a, 0x3c0307f1, 0xa767a36c, 0x81178d26, 0x14348967, 0x78401f74,
+    0xe4d59978, 0x8cf80b86, 0x71402116, 0x3a4da677, 0x7f92e9bc, 0xb09bf0bc, 0xe7520263, 0x9a3bb4e7,
+    0xc635c193, 0xd9f6a747, 0xe0931694, 0xff5828fe, 0x3bf37b2f, 0x0d2b7708, 0x0b63bcb5, 0xd6bf9e75,
+    0xb77250d5, 0x1db277f4, 0x5f6ecd17, 0x17373912, 0x658342ee, 0x9f2d3a49, 0xc57e2de7, 0x9946ee54,
+    0xb15ec035, 0x02d326ca, 0xe4033e79, 0xab2650cd, 0x1e6aeaac, 0xbdb7b6aa, 0xd7d06401, 0x20f6a973,
+    0x08a98839, 0x24211ab5, 0x096946fb, 0xfba6d50b, 0x22ba318a, 0xa25fb246, 0xeabbd052, 0xd01272df,
+    0xdc2546ba, 0x70f22640, 0x44505ad0, 0xdbc99d2e, 0x463c8b34, 0xf38d623d, 0x09c4b389, 0xb5b82b2c,
+    0x3f584052, 0x74ad5f4b, 0x6b1af56c, 0xe754bff3, 0xa5e3a36d, 0x80a167fb, 0xd33eb09b, 0x8a00f54a,
+    0x89120f8a, 0x6ccc5fc2, 0x394bbb28, 0x47ce215a, 0x9b06e961, 0x0c5e02ba, 0x0918b760, 0x38c1106b,
+    0x01730223, 0x03085981, 0x687011e8, 0x0da350a4, 0xc06fd94f, 0xdbdbe125, 0xe2095ecc, 0xd8df0ceb,
+    0x54bcfef2, 0x78cbea0f, 0x5394dee3, 0x5997e45e, 0x99a12351, 0x428d6738, 0x20d2b62d, 0x748f4110,
+    0xf8625601, 0x7050f041, 0xcbb5490f, 0x9feef30b, 0x45d601dc, 0x3745af1c, 0xfe06a95a, 0x6d3f4d78,
+    0xf53c8610, 0xaad17786, 0x412cbe3b, 0xc3d231b0, 0x1610cda7, 0x1db65c32, 0xa1bbcfc1, 0x95b9e523,
+    0x78153bfa, 0x7f53cd41, 0x624d7eb2, 0xa94f6863, 0x5c784266, 0x32e5b041, 0x8f8ad213, 0x007a025b,
+    0xc4977446, 0xacd24e0a, 0x2b93b68a, 0xff9b15e9, 0x5a926c69, 0xde085d38, 0xa3938bc4, 0xa46df97f,
+    0x9eb90580, 0xb309f93f, 0xf4bdeb8e, 0x53d39dd1, 0xdcd30f3b, 0xf5c87808, 0x16369c3b, 0x1a3a61a6,
+    0x27169e92, 0x83eba71c, 0x2a5a2d9d, 0x70876463, 0x7dd929d5, 0x2c905d8b, 0x6ee1af6c, 0x6208683d,
+    0xdeecc753, 0x91f8b263, 0x1337094e, 0x99166c98, 0xd1ee14dc, 0x8d5d2754, 0xd19ba524, 0xfcac8f68,
+    0x1bb4cd39, 0x6841453c, 0xebd51817, 0x187679ad, 0x07112570, 0x1f184ee3, 0x34545de3, 0x4845f31c,
+    0xfd7b4c9c, 0x2e2d09ed, 0x64aab218, 0x48fd77c3, 0xc5f6056a, 0xb2825a1e, 0xa888f0f5, 0xff65567c,
+    0x48f5e304, 0x1ad9791f, 0x39fcc4a2, 0xd334e3d8, 0x935b7a91, 0xb0366369, 0x055e33d1, 0xa3a5eb04,
+    0x73a26125, 0x016cf8e1, 0x070177d0, 0x629e236d, 0x8a12231e, 0x93744035, 0x4a14bc4c, 0x815e93af,
+    0x7391241c, 0x3685d45c, 0x746924ce, 0x867a29f1, 0x0bb14eae, 0xc34076a7, 0x442b2945, 0x6efcfd02,
+    0xd1c51a09, 0x469c98b8, 0x4257a926, 0x23053b6d, 0xa9cff17c, 0x634f5309, 0x41661f28, 0x404f169e,
+    0x4275fa01, 0xe8585063, 0x20e28ee5, 0xaf4666fd, 0x06b1d142, 0x46d931ec, 0xf9bd3d83, 0xac32c2db,
+    0x98af0327, 0x1b65ee65, 0xb896c992, 0xad6a8b2a, 0x87a5d3a1, 0x411e2b79, 0x8e0b841c, 0xad433adf,
+    0x124d43e1, 0x9adbdfdc, 0x06f0fac1, 0x8aed4681, 0x4fae5b0b, 0xec2d8a33, 0x7a02ce9d, 0x83417f53,
+    0x325e311d, 0xd0c050e2, 0x8b80f247, 0x6c737977, 0x080c9328, 0xb07c6e3d, 0xede927a6, 0x7fc15984,
+    0xe59baf0b, 0x07ca166f, 0x069c696f, 0xc49126fd, 0x1db4eca9, 0x1c9d7f22, 0xcf860a97, 0x7ac6b68f,
+    0x963c4b12, 0xa16b9677, 0x533c6e6e, 0xa42f28b6, 0xd7e8b84b, 0x874ba1d3, 0x9dd21e32, 0x9c6de09a,
+    0xcb1a6e53, 0xd250270d, 0xcccb425f, 0x6cfb4df4, 0x0c05992f, 0x79fa94e2, 0x46c46bf8, 0xbb7f0f2d,
+    0xdc0a0a56, 0xbd1eff77, 0xd962472e, 0x00ee4be9, 0x9b1108ff, 0x5c44747e, 0x41b8288f, 0xdef45bbe,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000085070591730234615865843651857942052864 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a0480, 0x59281258,
+    0x00000000,
+    0xbeb96fe2, 0x52d6789b, 0x80e542a9, 0xd16f37f0, 0x003ce923, 0x7bee0534, 0x3fa92427, 0x4ef29703,
+    0xfc0cc306, 0x41dbfcc4, 0xd8f22af9, 0x0307cf1e, 0xee50c6ef, 0xc6294d76, 0xd5949e52, 0x62ef1031,
+    0xfe5f3ed8, 0x4084a290, 0x669089ac, 0x2bde249e, 0x79db1ddb, 0x0b218638, 0x6c8f31b3, 0x6d1ad7c2,
+    0xba68b4d9, 0x7bd05f85, 0x7f7b0856, 0xc2376357, 0x51469e58, 0x9c41f542, 0x791ee176, 0x1f6f013a,
+    0x88be831f, 0xbcd3cc82, 0xf304dd2f, 0xe0fe3c4c, 0xa0c647f3, 0x627b965e, 0x36ec9876, 0xfddb4fa8,
+    0x7f307700, 0x7cf3fcab, 0x2c9d3251, 0xcc5a6a1e, 0x91f2e186, 0x76c5619e, 0xbca99986, 0x424f22fa,
+    0x03ca54a7, 0x22dddb8c, 0x16083171, 0x900f92ee, 0xe191d101, 0x8cfcc83f, 0x16936598, 0x73b38102,
+    0xb1f35764, 0x7ee91daf, 0x4a5f8840, 0x66ffa359, 0xc688cf20, 0x1248e02d, 0x9b895c44, 0x3b9f5391,
+    0xd85e3d92, 0xeeb8d6f1, 0xa01f3b44, 0x7f446f40, 0xdef63cb9, 0x65dd32ea, 0x9b724c8c, 0x4668323f,
+    0xb8201114, 0x7693607f, 0x8670e6c5, 0x7a790c95, 0x646eb4bc, 0x97fc2aa3, 0xa93baebd, 0x2734dd8f,
+    0x095ef025, 0xe1d318f1, 0xc6fb944d, 0xbb7f516e, 0x1c31520a, 0x42ef2f67, 0x014a6e43, 0x9c4dbc16,
+    0x282b5082, 0xf2787513, 0xc4398ee0, 0xf6ae3943, 0xa322460f, 0x922c0586, 0x58d43058, 0xeb8349d2,
+    0x1d50d9e1, 0x812ea504, 0x1c33270c, 0x0bfffc34, 0x11f6e272, 0xc407407c, 0xb515f383, 0x72e7fa66,
+    0x4a2d73d9, 0x208895f3, 0x0e0f6094, 0x4aa2dfcd, 0xbb1a6c4b, 0xbcd1373e, 0xd6664f9f, 0x719cac47,
+    0x48ba2a7c, 0x517e3d28, 0x4ab4b6a2, 0xcfd80a66, 0xc219f8b2, 0x7f4de609, 0x518ee59e, 0xeba206e1,
+    0x2d8a9c8a, 0xed5d0660, 0x4e429698, 0xc5bee4a8, 0xa2fad95d, 0x1c4a8a39, 0x7e55e2f7, 0x47a05bd4,
+    0x232d1fa4, 0x77da98dd, 0x460c5fa0, 0xe30df7bb, 0xdaacf1b9, 0xcfadc1e4, 0xb8308f27, 0x8141c824,
+    0x5d81ce8c, 0xfd749d0f, 0x54625d9c, 0x29de6623, 0xc33df533, 0x1eb4cd0f, 0x7eace8c0, 0xe405ce16,
+    0x8e1f48b4, 0xf212394d, 0x2a46ec2e, 0xe2dabb84, 0xf9ba3747, 0x2e5077e1, 0x23dac89e, 0x1abdd9f4,
+    0x20f6be8f, 0x92144680, 0x809180a0, 0x2eaa16dc, 0xa802c775, 0x3b677e00, 0x665c9972, 0x4976ea66,
+    0xd99b3bcb, 0xdc63fabc, 0x96de0198, 0x341c4ffc, 0x003995ca, 0x24bd48a1, 0x81c30794, 0x8383bc94,
+    0xc02af743, 0x0b380b39, 0x0fb311e6, 0x1c205e1b, 0x63770bbb, 0x3f9f7b9b, 0x56c38e01, 0x2c3fb5bb,
+    0xa0084236, 0x7aa330bd, 0xb1b3de2b, 0x73aa225c, 0x16478e3f, 0x8c979c8b, 0xa7bd3b7b, 0x0a93acaf,
+    0xba9259a4, 0x084d70ba, 0x9d37b12e, 0x25fc4bd8, 0x32b79b1d, 0xf39978be, 0x8f1cc2fc, 0x8776a53a,
+    0x09684ad4, 0x961b7463, 0x594a185d, 0xd76bc62f, 0xf3954107, 0xd7163567, 0x26461270, 0x446b8d6a,
+    0xb679d2e4, 0x77391c39, 0xa05c8ad9, 0xa607e6d3, 0x124ef539, 0x71f430cd, 0x75933b9f, 0x9ad13250,
+    0x4867661e, 0xf4867152, 0xe2ede26e, 0xbe8127ee, 0xc92d10ab, 0xe3d0eabd, 0x9f0aa8cd, 0x68e4f7c4,
+    0xfa9a526d, 0xb78415c3, 0x171f9903, 0x3581cacc, 0x795aa5dc, 0xc9915514, 0x66b9b6e9, 0x06295ce3,
+    0x211442fa, 0x3bfb1f32, 0xab787597, 0x236da48e, 0xc2b19963, 0xcd7af0b2, 0xc59ec177, 0x9f221d84,
+    0x93d541b3, 0x5c345052, 0x8853c7e2, 0x5def31ae, 0xbc04e004, 0xa498b79c, 0x957bf7ea, 0xeed82fad,
+    0x501a0e5b, 0x1f035168, 0x975b79ff, 0xfb891305, 0x121a3381, 0x17272a2b, 0xc051c1bf, 0xd4c91d4b,
+    0x17b7e543, 0x787fc871, 0x14046f6d, 0xa157f33d, 0x7abfb5b8, 0x8e2e639c, 0x54c49e5d, 0xf14e9adb,
+    0x7ef06019, 0x4366bc45, 0x349aa028, 0x5c364ad2, 0xe2312457, 0x7356659a, 0x29f2fc4d, 0xc967d645,
+    0x9707ae7f, 0x7f7a163c, 0x4520bd86, 0x88773f9c, 0x023e3513, 0xbce6475b, 0x453bbc57, 0x34b81c65,
+    0xa45bb06d, 0x0a7dabd7, 0xe87f8525, 0x7f367d14, 0xf181a848, 0x3553afb6, 0x0f51f818, 0xe4ea4a78,
+    0x3e061657, 0x7edce86a, 0xb49a35fc, 0x7af697d3, 0x29e10747, 0x9d9cda48, 0xa9f1fecf, 0xee938929,
+    0xf66d8be8, 0xafd1fe99, 0xb8b64895, 0x2aed75b8, 0xad1f2bd1, 0x21708972, 0x473bc505, 0xfd8ed21f,
+    0x47bcde4c, 0x48cd830b, 0x1e4269eb, 0xcf738c80, 0x72db19c3, 0x97ece6fb, 0x5a9f0bff, 0x309d06a8,
+    0xdd35906a, 0xe5f6867a, 0xebc77193, 0x2383c123, 0x0f12d4e1, 0x1730ca51, 0x8b7f2b12, 0x33f5488c,
+    0x3c5c12ca, 0x112d4c83, 0xbfdcea53, 0x8024d891, 0x4aefe87f, 0xdcf04add, 0xc7fe5a94, 0xbaaa8056,
+    0xa8fbf8d2, 0x0090e1d3, 0x764d70e6, 0x13901d74, 0xe3d856f8, 0x9b2c3aab, 0xeafda002, 0x5123c453,
+    0xc85a0209, 0xd9c22c9a, 0xf854aa3c, 0xa1926088, 0xa4cc8271, 0x6ce9fb0c, 0x6c12b474, 0x5200df68,
+    0x5562792d, 0x4b28642b, 0x16e99437, 0xbba43b1e, 0xb08fd954, 0x8ccd876c, 0x8a8394f2, 0xfa929a4c,
+    0xa3fb6e5c, 0x75e66476, 0xc8dbc553, 0xa0c914fd, 0xb96a0a8a, 0x3177d844, 0x002c0b30, 0x1fba5a06,
+    0xc668eeca, 0x882e96f6, 0x5b1ab346, 0x68d67768, 0x9ae249cc, 0x4210cb1b, 0x43c6f13e, 0xf0b69784,
+    0x59c42c8e, 0xcd53d081, 0xf480e076, 0xed6635d2, 0x918c58e2, 0x5152768c, 0x402ea505, 0xfacb4c8d,
+    0x0d3b339a, 0x866a7863, 0x5a79169e, 0xb9ddb59c, 0x9f8dd758, 0x96e9fd3f, 0xd12d1ddc, 0xfd10667e,
+    0x286cf7ef, 0xbefb22bf, 0xcf17d331, 0x2fc3676e, 0x7ca662c0, 0x9d6b0699, 0x929a0c9d, 0x9324021e,
+    0xdde63fd3, 0x93719f76, 0x38416acb, 0x6689b6c8, 0x723d0f9f, 0x40cfef86, 0xca976a32, 0x476be49f,
+    0xcdfcd5fc, 0x5d72aba9, 0x178112f8, 0xbe654174, 0x77334aa9, 0xf24954cf, 0xdb03393b, 0xabbf9d5c,
+    0x889de774, 0x30813e2c, 0x34bd3c9e, 0xa0427ffd, 0x43232c25, 0xce6a043f, 0xd2dfc77e, 0x0204c7c0,
+    0x16d9138a, 0x0b12db61, 0x2429c4c6, 0x95a24626, 0x3642b5b9, 0x7177202a, 0x2b8406bf, 0x37d090cf,
+    0xeb7287eb, 0x9bb26f93, 0xe209a833, 0xa71bde64, 0x63c72b46, 0x0b5cb0ac, 0x714a27e2, 0x4b09d808,
+    0x0c04e564, 0x815bf26e, 0xec4af5eb, 0xc13b2201, 0xe5f9eac2, 0xe31ed6ec, 0xde102540, 0x30039f14,
+    0xb58659e5, 0xf45b2e66, 0xaa38c8c1, 0xe36cf10f, 0x7e93bf41, 0x09fb4a96, 0x6e6d6951, 0x50bab976,
+    0xb9e264a9, 0x03be99a0, 0xaa5a688f, 0x0dffbcba, 0x531ffa73, 0x03c1d31b, 0x1896bf46, 0x41c0b225,
+    0x9b4de993, 0x3afad9a3, 0xd3c93aad, 0x856b9ff4, 0x344e0cc6, 0x2e240d05, 0x1c2f085c, 0xc03cbc8a,
+    0x560b5c31, 0xefbe5f3b, 0x259b4925, 0x89a41814, 0x865bda61, 0x3248c2d0, 0xb71c010e, 0xf1183674,
+    0x995e0cae, 0x31286d42, 0x3904399f, 0x22b60009, 0x6cb4c1ba, 0x5afd3d2b, 0x324d4b44, 0xffe91b2f,
+    0x2353d7b0, 0x9a74a2aa, 0x1bf62e1c, 0xb40ebd1c, 0xc7cf44c3, 0xe7351855, 0x978dfe2b, 0x53fe8a76,
+    0x7bf79062, 0x59601a79, 0x4d019b44, 0x4c8a70d7, 0xc135acc7, 0x4f64a6b9, 0x10bf5f07, 0xf8b976be,
+    0xe7ee6da3, 0x469d7c1e, 0xf8441360, 0xa578aafc, 0x8fb0c98e, 0x46a93cfe, 0x9e10239a, 0xdf57e124,
+    0xf1559c6b, 0x33c09d07, 0x6a006c88, 0x71ef2707, 0xb7da89f2, 0xb9b77854, 0x6d87bf22, 0x5b2617b0,
+    0xf2d6c41a, 0x31628e99, 0x5578d075, 0x389e3cf5, 0xa381517f, 0xa71ff496, 0x40bfad5a, 0xf6c009c3,
+    0x7756b303, 0xa189ff17, 0x2332f6fc, 0x03737235, 0x61ec5f59, 0x457b4edf, 0x5cf6364b, 0x3a380e3a,
+    0x1c5b4c4a, 0x312f0136, 0xab0063ba, 0x656e8e3d, 0xab7fd0aa, 0xa271e147, 0x147041ad, 0xa50bef6d,
+    0x6ceb48ec, 0xe4f28bbd, 0x7dafeebc, 0x0f9f9088, 0xebe62d6f, 0x62af240a, 0xa4bb951b, 0xa3d711a9,
+    0xb65b23c6, 0x9748468f, 0x084dfb9a, 0xeeac19ef, 0x6c40eed7, 0xe0ba0658, 0xd0e6983d, 0x6ce39ce4,
+    0x234d0769, 0x2a4b86f6, 0x5b412559, 0x58785e67, 0x1a59b528, 0xafe15ed9, 0x21e07ac5, 0xd1cc0e6d,
+    0x04dc4d73, 0xf71579f3, 0x709ec8fd, 0x2e53e881, 0x73ac6869, 0xa9113468, 0x3870e3d9, 0xaf9092d9,
+    0xeda1c563, 0xa1206de0, 0xb7557230, 0xb1c61a07, 0xd6215620, 0x3f7c77e5, 0xf103d6cc, 0x8bc9b06c,
+    0x0383ecbc, 0x368549e0, 0x7bf6d34b, 0x3f22aab9, 0xc621ad58, 0xf75e1e47, 0x9fbe4c37, 0xa95e58da,
+    0xb4e1a6fa, 0xc7b67e55, 0x80d63874, 0xde30b14b, 0xadb7d193, 0x79378a9d, 0x43ff4232, 0xeb7d18b5,
+    0xa88f8a4e, 0xf6412de7, 0xe834040b, 0xbbbe46fc, 0x0627f224, 0x67917d49, 0xced84d4b, 0x9eab261c,
+    0xbd2e4c9b, 0x9b0114e2, 0xfe880eb1, 0xb0967b96, 0xada8de26, 0x8a1c0735, 0x6e074aba, 0x31edcf92,
+    0xcf3e11da, 0x3ec1841d, 0x84770f0e, 0x8eda6218, 0x4afbd7bd, 0x0a6c3a6e, 0x8236ae7d, 0x3dfdd2fb,
+    0x14c166e9, 0x22c7bb34, 0x16067d9c, 0xd6fd5a5d, 0x8d81e7c7, 0x9dbd5f2f, 0xcd75b5e6, 0xde399b57,
+    0xdc9e0450, 0x6ca9327b, 0x4fecaaf3, 0x378a0551, 0x36a00f02, 0xfc6fba33, 0x413a83cd, 0xb9a23177,
+    0x79c1c7c9, 0x7421218f, 0x44e142bc, 0x9c349766, 0xd32ad518, 0x9caecee2, 0xa930d514, 0x734b4785,
+    0x1052388b, 0xdd05103b, 0xa4331200, 0xe7091493, 0xd68f59f5, 0x4539f2c9, 0x9836545e, 0xa6d9021b,
+    0xa6991d32, 0x7d5df6ae, 0x97ea2ab0, 0xb5abfb9c, 0x78c3e220, 0xa06dc000, 0x0bb8c248, 0x03097370,
+    0x1c17e9f4, 0x42206bef, 0xcfac22d2, 0x914b0c18, 0x4f703fa9, 0x9661400d, 0x2c19f814, 0x1b34b9aa,
+    0x97706672, 0x6e434458, 0x732d7c47, 0x45fdfb05, 0xf7eaaa83, 0x419cf980, 0xec7dbaf3, 0xc5e493fd,
+    0xad852ac5, 0xc6046f21, 0xb8f5e452, 0x1f4a28d7, 0x23f3a776, 0x371e4292, 0x8c5984f0, 0x7c25ecb2,
+    0xf645c8e3, 0x1ba8dd21, 0xc7660e01, 0x091a0681, 0x4b7d4e04, 0xd609642a, 0xadd43a67, 0x55b2124a,
+    0x5a026c02, 0xf0152b46, 0xec33aa86, 0xf1011af5, 0xb1432a8c, 0x0052de44, 0xc281178c, 0x8af1502a,
+    0x2d8bcc9e, 0xe0c80886, 0x50c7565f, 0x89b54d78, 0xba2f14a6, 0x8a094319, 0xe2c61928, 0x3d24bb14,
+    0x38b188bd, 0xab44a83f, 0x46fad7c0, 0x9bc871f2, 0x81c03032, 0xf9759e53, 0xc9fcc35f, 0x05e2e190,
+    0xd1d88897, 0x4c9d6fd7, 0x9b5a189f, 0x73322310, 0xe2ce7c91, 0x8d25d8bb, 0x07f1ae35, 0x3b249f42,
+    0x24479948, 0xbc13f905, 0xb8c8234c, 0x40a5c4be, 0x2ba46f4b, 0xbf4f768d, 0x74f2bfb3, 0x4b72f2f4,
+    0xe7e49959, 0x7e83e5b4, 0xb552cf0a, 0x7c708369, 0x160e694a, 0x1fc2c7b6, 0xb4141117, 0x450bfc7e,
+    0xa800d787, 0x58fe34c6, 0xbe567c2b, 0xf71b3d34, 0xdf6f0c8b, 0xeca66f8e, 0x90d6e482, 0x9a1ccd4e,
+    0xf3ca222f, 0x7313c4d4, 0x19022714, 0x15ea7407, 0xb29386d5, 0x5f10319a, 0x8c3c9446, 0xc7f7623e,
+    0xf4616492, 0x7bcb32f1, 0x788b8be8, 0x16243324, 0xb7a0449c, 0xe597bb73, 0x341a85f6, 0x3adcd56b,
+    0x2eef2aa8, 0x60aadad9, 0xaafe643b, 0xc25049db, 0x5a380ec0, 0x0aa0262b, 0x86d24567, 0x0d058246,
+    0x4812e85e, 0x3ce5f169, 0x34b37893, 0xe4b8514e, 0x8bc799bc, 0x98f57d03, 0xef7db19f, 0xc3674753,
+    0xd81d6bf3, 0xe199acc3, 0x468a9d66, 0x6b8c83a3, 0x3e2da968, 0xddd6506d, 0xdbe1b3eb, 0xf2501412,
+    0xdc7e93c1, 0x1f437645, 0xbe1034a2, 0x49105517, 0x41958699, 0xd972336b, 0xf08d5168, 0x129ac4ba,
+    0x8dd7f897, 0x86b8a561, 0x29753e15, 0x35b6633b, 0x4ba11910, 0xdea4812f, 0x242b07a5, 0x048e96b0,
+    0x114b476c, 0x83b7d72b, 0x1226903d, 0x169261d3, 0x22ec2806, 0x7d94a2a6, 0x0aa7fd6f, 0x6e72e2b7,
+    0xbd1430c1, 0xd07f2b23, 0x6dfb2ab3, 0x96a86522, 0x9149cbca, 0x4afa7383, 0x3fe67ce3, 0x0bbd8b40,
+    0x19648d4a, 0x4272d159, 0x036cb0d0, 0x750622fa, 0xce57469b, 0x4b3d3782, 0xe61eafbd, 0xae4dfc0f,
+    0x221dbc91, 0x9855ae58, 0xabf6c968, 0x3fd2ff56, 0xb3e9147d, 0x2ee3e399, 0xf91af954, 0x489ad65a,
+    0xf3d1b0ee, 0x329e1ce8, 0xebdb8784, 0xa091f36d, 0x3aeab1ab, 0x2670723e, 0x3ce71493, 0x45d2912b,
+    0x80eeed6e, 0xf7a43a41, 0x1be8772e, 0xdcbe29ed, 0x5592fb10, 0x4c8a0251, 0xe604dc21, 0xaafbfa61,
+    0x141423ee, 0x05fd897b, 0x5633dd94, 0x13d0402b, 0x65513cf5, 0x8d958eb7, 0xee589494, 0x918ce234,
+    0xb02f67f5, 0xcd081131, 0x656420cf, 0xf07f9aa3, 0xbc272476, 0xd3bbf8d3, 0xf12222ba, 0x98bf2e98,
+    0x77f98e21, 0xbce27ea8, 0x335009ae, 0x58d75497, 0x98d7f136, 0x8f663f78, 0x8e6a0dad, 0x0c5e4fd5,
+    0xb64cac5a, 0xecda564a, 0x351df9b4, 0x1dffa7e1, 0xe034b92d, 0x761666a0, 0x56e81372, 0x0eb38774,
+    0x8bbfff3c, 0x1a8daa3f, 0x74bd0558, 0x6a1c7715, 0x8f2a7f9d, 0x574adb08, 0xd3356a1b, 0xd5e1bf17,
+    0x2010736a, 0x8247cabe, 0x70d093b6, 0x62352a24, 0x08bc0c9a, 0xa1efff84, 0xf88edba0, 0x82f8b196,
+    0x109a15d1, 0xee9b81b6, 0xadf9fd9e, 0x282bdb16, 0x7f2c8530, 0x914e0152, 0x55883948, 0x2517b8cd,
+    0xac5140e8, 0x1f675a69, 0xc4f882a2, 0x12440972, 0x55c16d02, 0x7d0fa8c4, 0x90c43e6b, 0x6ce8f102,
+    0x52aa1374, 0x3fe5487c, 0xd05f4fe5, 0x33543f4f, 0x97ce4f07, 0x0ca66e3c, 0xcf32703d, 0x84616722,
+    0x0555f39b, 0x1ff626a8, 0xe3385004, 0x7493fafe, 0x7b27351a, 0x8f1ed447, 0x82a4b593, 0xaff89470,
+    0xd36b4b62, 0x1802b1d0, 0x6d37cb73, 0x78190a73, 0x218bc6fa, 0xe54c35b1, 0x16decdc1, 0x355d6b04,
+    0xdde7573d, 0xefd7d146, 0x56ac7fb5, 0xacaf3026, 0x864c9568, 0x6ce0623f, 0xb391efa9, 0xa0d2a406,
+    0xb365ab4f, 0x83218ea3, 0xdceca2fd, 0xf1e50b43, 0x2ce88ef0, 0x875f2a16, 0x4b5e2ee5, 0x1dd9b7ce,
+    0x19b10e7e, 0x7a5626b3, 0x2453b23b, 0x354d949c, 0x5c5e958b, 0xb6cd48af, 0x8c9596c2, 0x73881293,
+    0xd442efe2, 0x9c79f923, 0xffe0c835, 0xbd3d34b8, 0xd349d430, 0x430c4791, 0xdd2884ae, 0x93f56f24,
+    0x6d7aad55, 0xa4518f96, 0x6e3b8bda, 0x57de41cd, 0xbd7b1e13, 0x586f8837, 0xa85159c4, 0xaaa98700,
+    0x34c0ae09, 0xb7facdfc, 0x1156e3f5, 0x5e09bedb, 0x436e39c6, 0x489d25af, 0xec06ca64, 0xf2a8f769,
+    0x418dc75f, 0x981d6593, 0xc08652af, 0xb40c84cb, 0x5a6511eb, 0xae62f7fc, 0xdd7f1877, 0x78d299c1,
+    0x5833658e, 0x779ec15f, 0x4c410629, 0x5cb7d3d1, 0x156d4f9a, 0x6c9dd6fb, 0x29b588ed, 0x8730e70e,
+    0x8b70cd19, 0xf3bf36ee, 0x0c1aa268, 0x5b25b7b8, 0xeecc010d, 0x07373e6d, 0xf78515c8, 0x8e2e6162,
+    0x1caed9b7, 0xcdf1ab14, 0xb46d2a2a, 0xcda7ff2e, 0x6a743edd, 0x611473fb, 0xf5463437, 0x0a72a1a7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000042535295865117307932921825928971026432 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db50240, 0x2c94092b,
+    0x00000000,
+    0xdcf6fc46, 0x1df3a8d0, 0xd9d4f34b, 0xff47c5ea, 0xb781db28, 0x8392bda4, 0xf2e1a95a, 0xe6dc6bc7,
+    0x10ed90ed, 0xb70fc514, 0x73b47ceb, 0xe5e8cfd6, 0xbd0c3680, 0x374cfdac, 0xdf53b109, 0x28f81272,
+    0x8cb4e7c7, 0x0c1c9971, 0xa179e6e1, 0xa6933f3d, 0x972da0eb, 0x84a55131, 0xdefdb137, 0x5667e9b3,
+    0x68e63d92, 0x6ad7d441, 0x248b6374, 0x9d1dd963, 0x3ccd966b, 0xe2bb2e10, 0x38838999, 0xd1bd4db8,
+    0x49aee0b2, 0x45bd72a4, 0x6566d229, 0x8498efb2, 0xd5228cf0, 0xc3ccc4c5, 0xb39811cb, 0xde7629de,
+    0xc2400eb0, 0x1ad3699f, 0x6209ecb7, 0x14098585, 0x832d55d3, 0xe5df2a23, 0xd543923d, 0xf63db924,
+    0x457f9248, 0x3482da3f, 0x74802c6e, 0x1aaa5f94, 0x15e33b7f, 0x25dfd227, 0x7af6e06c, 0x51167bcb,
+    0xee0d477e, 0x41805872, 0xa6023397, 0x2d69f730, 0xf7030a36, 0xe6f65d86, 0xc6dc3842, 0x1e253efb,
+    0x8b0fbb50, 0x9472060f, 0xd3cd334b, 0xd3be6879, 0x8cc01393, 0x35efe64e, 0x47c59a74, 0xa0ef784b,
+    0xaef9e789, 0x18b9231e, 0x9a02d89a, 0xd303c54c, 0x3ad5f9e0, 0xe2ec3a4e, 0xc261183c, 0x9b0f4689,
+    0xb15d3179, 0x8c199b96, 0x7404af63, 0xed7606ec, 0x7143fb83, 0xbccd2d18, 0x33bc9b52, 0xfbc5b873,
+    0xe4a51e7c, 0x437756b7, 0x60ac6132, 0x2cfafc0e, 0x982b310b, 0x9d83f0da, 0x89c63965, 0x1c2cbc9c,
+    0x6f5ed6d7, 0x392dc84e, 0x7ec07ad9, 0xc1e6efc6, 0x66c50286, 0x1b35c61e, 0xfb8a4adc, 0x4ed26547,
+    0x3692c764, 0xbb48a53e, 0x03e950d4, 0x44547bed, 0x1dc0500b, 0x1224ac87, 0x7e074e66, 0x10a3a84f,
+    0xa8e51702, 0x77fe8a25, 0xa4f9e8d7, 0xdbdbcce4, 0xa6337a7b, 0x50a57843, 0xb9db0c9e, 0x950c1df7,
+    0x9be4f9bf, 0xebf29629, 0xa028678c, 0x7b8436d5, 0x44a75bcb, 0xaee1ab36, 0x101d9b8b, 0xa8d67157,
+    0x9228c03f, 0xa443e56f, 0xdc406e61, 0xe26b82b0, 0x513dd0ce, 0x28eb5a04, 0xc6868539, 0xe652135e,
+    0x2620e5a0, 0xb33b5abd, 0x3b26c61d, 0xbec3a005, 0xa7ae6b8d, 0xd3e7b391, 0xd2516d24, 0xa4375ed7,
+    0xbc11a578, 0x2ab58e15, 0x0e335fec, 0x1078aed4, 0xe5fefbac, 0x247c6089, 0x52ff79aa, 0x1470c74f,
+    0x49535e81, 0x3f162225, 0x913ca481, 0x2b50d5bd, 0x3e5bf375, 0xa5b2e974, 0xb3ba8422, 0x4458a95c,
+    0xe9cbbd2a, 0xbf559b16, 0xa59b153d, 0x3efd2713, 0x17cd4c72, 0xaf790aeb, 0x02c21ea7, 0x1ef6448c,
+    0xc904b361, 0xf185cd54, 0x23a65685, 0x8254852a, 0x22627e1c, 0xfb9ca9b0, 0x27252804, 0x4c106888,
+    0x1369e57d, 0xdd8d2009, 0x4a4c9fa2, 0x1518c082, 0x7da6dd95, 0x6a820479, 0xf71198d3, 0xb873ee2c,
+    0x842b929c, 0x5d8073d9, 0x408ed793, 0x5d978d62, 0x426e59a2, 0x93c42fed, 0x072fae72, 0xbcf91916,
+    0x8fdf8d9e, 0xf0d1a23d, 0xfaadcc4f, 0x8f8f31e6, 0xf2f65a54, 0x2267a24f, 0xb2970d51, 0x476c0063,
+    0xb596dd61, 0x79f100fa, 0xc8aff53d, 0xdb3ca283, 0xaa6704ec, 0xfa596805, 0x1b6b56dd, 0x2338a8b6,
+    0x8c3b1084, 0xada89577, 0xf1190eee, 0xcca343ea, 0x04c40043, 0x1ac93861, 0xe9cec09b, 0xeba86a68,
+    0x2d0017ae, 0x44a65f43, 0xb8192c65, 0x28457469, 0x116a77c0, 0x1fa9fb0a, 0xa697b54e, 0x56954825,
+    0xb907e230, 0x28a65a29, 0x3b8f0f35, 0xceca9d25, 0x61fba8f0, 0xf83b683a, 0x3272c703, 0xc16899ae,
+    0xc6ebd7c4, 0xb376a74b, 0xac1ea32c, 0xaeaaa581, 0xc0e280a6, 0x8fa02c55, 0x84b8a9bd, 0xe8e8b2d4,
+    0xda3b966e, 0xd5d30d7c, 0x49f6fa5f, 0x860362bd, 0xafe858c2, 0x15eb919c, 0x83c3396b, 0xfff6b0a8,
+    0x9a46b871, 0xc86c6376, 0xe388c185, 0x28aaa752, 0x798ab73e, 0x8754c5fd, 0xc986c686, 0xc67577e9,
+    0xa93491dd, 0x3b896146, 0x949e690d, 0xb0e671cd, 0x743e4e8d, 0xe6adef2e, 0xd6a38cf9, 0x91ca021d,
+    0xa57b177e, 0x2fbfb9f9, 0xf82f137e, 0x4333d220, 0xead1b477, 0x01f7c6ce, 0x93c52418, 0x0d44d91e,
+    0x68104d04, 0x2451a374, 0x0e1fa8f7, 0xc1e72b60, 0x7654b60d, 0x3288fb02, 0x8c4c2c1b, 0x5438c4c9,
+    0x02eeff16, 0xd895fef9, 0x780e5b6d, 0x0c8eb16d, 0xe2a8b622, 0x8d29bac2, 0x9c2480d8, 0x438144ae,
+    0xcc5e557c, 0xf6e3666d, 0x4e21926f, 0xe77be731, 0xba26cae0, 0x14b337a3, 0x506e878c, 0xa2078624,
+    0xdfeabd97, 0x5c369937, 0x0f5a2f70, 0x75c2fd8d, 0x5e96b27d, 0x6b687f15, 0xc0ee057c, 0xbb4e7e7c,
+    0x9dbbf72a, 0x5cb23816, 0x9ea7f9ae, 0xd5ad39e0, 0x6dc5f599, 0xbda397d0, 0xe5263c60, 0x0e56761d,
+    0xc3f787a0, 0x3faef8d0, 0x141aec9c, 0x35161ea2, 0xbaa21d0b, 0x7292982c, 0xc1a4675c, 0xd8af24f7,
+    0xe0077554, 0xc785758d, 0xe8062b38, 0x7990ff2c, 0xe698bb91, 0x3c90ffbc, 0x20677d5a, 0x9679eb52,
+    0x3fdd535f, 0x89c3fe9d, 0x73ac1116, 0x9dee95f7, 0x20b764a5, 0x6595f807, 0x504553b2, 0x91d5d393,
+    0xe0d24534, 0xe9fe01d3, 0x0df10483, 0x915826ca, 0x9a860c8e, 0x10d4e481, 0x4662db79, 0x2105e207,
+    0x38696af2, 0xeb307d7e, 0x76281a0e, 0xbf806060, 0xc113798f, 0xd066fac5, 0x02da9fd2, 0x40c6b8b2,
+    0x2dc87b95, 0xf6e43312, 0x6f46e900, 0xa25c12f0, 0x5574f981, 0x556738e0, 0x7828678d, 0x9e5f5883,
+    0x8df80e6d, 0xde11a311, 0xb10b0b56, 0x024dcb3a, 0x876b644f, 0x1325ae8c, 0xe5054acc, 0x373dd175,
+    0x3b2151fb, 0x14cf4d46, 0xdab2541d, 0x1c43f466, 0x3876eebf, 0xf8d1ecfa, 0xbff46d75, 0x1fae9816,
+    0x57fbe5ae, 0x3a8a7e52, 0x0fe4514c, 0x8af3fd9e, 0xe55b34b7, 0x049bd19f, 0x67a1b544, 0x51b5bfa5,
+    0x70e8349f, 0x29f57a58, 0x72098923, 0x41036a96, 0x96e44d7c, 0x6ec3652b, 0x66ab896d, 0xa5f5d152,
+    0xe5626158, 0x0801945a, 0x8ce42442, 0xd854bb2b, 0x636782cd, 0x8afec323, 0x7ecad8c6, 0x9b880b44,
+    0xcc97a9db, 0x02f45516, 0xb8e265ea, 0x237139b7, 0x41ed94bd, 0xfe9d474b, 0x6108f4ca, 0xb2bb85e5,
+    0xaa939e5a, 0xe82566a5, 0x2780258b, 0xdcc4911d, 0x841b7af7, 0x8e138951, 0xae5e4b9b, 0xaaab6b72,
+    0x34c3f74e, 0xb14aeef0, 0x3d66dd44, 0x792386c4, 0xdde0a0aa, 0xd7452877, 0xbff718ca, 0xaf2c7f98,
+    0xa61fc3d0, 0x2f254ccf, 0x9ae38570, 0xab77636b, 0x49de38db, 0xc7ab9620, 0xbf826363, 0xab771885,
+    0x72efc734, 0x3d765e12, 0xa40ecb25, 0x75dfbad7, 0xdfc3d59a, 0x0e928a92, 0x2c52390f, 0x2bc9cd48,
+    0x8f265825, 0x934d7a8d, 0x6141f971, 0x53b1098b, 0x7e29d870, 0xba509e88, 0x2bafe243, 0x2c1b10bf,
+    0xa5295064, 0x7bd7d649, 0x3f093517, 0x1b21ec49, 0x01e5fc4c, 0x92f49e55, 0xa83bd859, 0xb2401d49,
+    0xdd13c175, 0x5914a75e, 0x024e859d, 0xced12e79, 0xf3641b7c, 0x9be2c790, 0x00530c04, 0xe93abb2c,
+    0xea84513d, 0x31057a4a, 0xd5f9cc5f, 0x4a90fc7c, 0xd0c89830, 0xae219c39, 0xe237d384, 0x83fc0ddf,
+    0xe9fcf7fe, 0xdd335c48, 0xe46af292, 0x2b56a0b2, 0x1a10a44d, 0x98d143d8, 0xc9ffe51f, 0x8b4fd7a9,
+    0x1fcdbb2f, 0xe8d811e6, 0x6bbf5906, 0x7ddb5ed2, 0x258b94f5, 0x4db99e86, 0x1e995e5c, 0xf6f554bf,
+    0x06333234, 0xc9cb0c1c, 0xabe83db5, 0x3333fdb6, 0x388380ba, 0x0fcc5239, 0xfb17472e, 0x811457a2,
+    0x20b0f3e7, 0x3f6cd4aa, 0x2b6ea33c, 0x16a160ef, 0xd27edb50, 0x5e40476a, 0xce75836c, 0x0e801247,
+    0x5e01cc8a, 0x72b00ba5, 0x8b68b13f, 0x11e58af5, 0x8357462d, 0x8ebd6ed8, 0x50a7c7d7, 0xc7c18a76,
+    0x1a53bbcf, 0x9d62979b, 0x7b108661, 0xe2084af2, 0x4b1e4804, 0x430b9be9, 0x027ceced, 0x45ccc875,
+    0xb16b9a77, 0xf03b5c4e, 0x46e3aad7, 0x26f9e214, 0x0037b458, 0xc86fc607, 0x5ae841b0, 0x1e1fc167,
+    0x11558b52, 0x4cd09dc5, 0xde53f8ac, 0xe24260d8, 0x01b571f7, 0x165085b6, 0x5bf96263, 0xb723c3b2,
+    0x0d1fe890, 0x9f2468c6, 0xb26e5262, 0xf4d204ed, 0xec8d2765, 0x3d368970, 0x01f2f2b3, 0x3bbeee26,
+    0xf42a477c, 0xd3406300, 0x6137334c, 0x1d51a986, 0x60176e3d, 0x94085f7a, 0xdde64ddf, 0x8d2e34ae,
+    0xafc3d118, 0xece12189, 0xe6acb3cf, 0xd6616553, 0xddfe4ee7, 0x356ab320, 0xb275f654, 0xef500937,
+    0x4f912e50, 0x04bdd850, 0x0d06a6b7, 0x21ecec42, 0xdaf7d476, 0x60d35e27, 0xaf39967c, 0x6d739aed,
+    0xe48a49fa, 0x408ea8e4, 0xf100f5ee, 0x2c720f4e, 0x253292d1, 0xea7ccf98, 0xb06899de, 0xd0be3916,
+    0x031b3c7c, 0x621299a8, 0xfa645d32, 0x6ee4fc64, 0xf993e43a, 0x8efa027b, 0xe507c55f, 0xfd189c2d,
+    0xac9c78fb, 0x511d5a8f, 0xb3c6d7a4, 0x67ab7ce3, 0x92246310, 0xedda8809, 0xdfd370eb, 0x5e7355ac,
+    0x60b17351, 0xa02f0534, 0x81021380, 0xe95e0a1b, 0x11da2d00, 0xb85fd90c, 0x4ac89b4a, 0xa0ab4654,
+    0x61701b7c, 0xd608f416, 0xbd1bb99b, 0x3f20c8db, 0xb2b3f730, 0xa12b5f89, 0xf79bacf8, 0xd3d2ab78,
+    0x48621235, 0x688d7dcd, 0xb94a0eff, 0x7334eb8c, 0xe404aa39, 0x721d12c6, 0x5a3c579f, 0x27472ebb,
+    0x1810d171, 0xf5757015, 0x0f9a78e4, 0x567f46bc, 0x0ec29c9d, 0x94579340, 0x4757e356, 0x8d28b6f6,
+    0xdac35ca6, 0x28f3a9b1, 0xb5869095, 0xc460dd6a, 0x60a3caef, 0x841d3efd, 0x355a5c5c, 0xe7745419,
+    0x6bf23ef6, 0xf786ae30, 0x19a6108b, 0x483692ba, 0xeda11173, 0x69fb324c, 0xf2263ef2, 0x1cecb480,
+    0xe19e2f49, 0xe9e084de, 0x39046d29, 0xd1abd0cb, 0x9eef8163, 0x0de3d8c4, 0x2cc66134, 0x46fe90ac,
+    0xd3639fde, 0x8ec5cf07, 0x06320fa9, 0x3e880395, 0xe502e1a3, 0x55435ace, 0xab9aa601, 0xdf61497d,
+    0xe5c8f047, 0x2aa594e4, 0x056c2587, 0x69dc4c19, 0xeb5df9cb, 0x5ea057b8, 0x323c4fbd, 0x3984a77a,
+    0x7eb86da3, 0xb8f5bd9e, 0xd15da96d, 0x2b864cd9, 0x9cbd8c84, 0x886bb7c9, 0x091cb421, 0x47482c48,
+    0x25cef0b0, 0x19ef3e2e, 0x6197130f, 0xa73124f8, 0xf06ba7ea, 0x55af98d4, 0xc5069b55, 0xb20b24ca,
+    0x28deb970, 0xcad38d1e, 0x5fa382b9, 0xb00c8421, 0x7a685e62, 0x47a0be09, 0x9afa36b8, 0x5b9f0851,
+    0xefdeb4dc, 0x12db007b, 0x9e5a693e, 0xb0b98e02, 0x6da8bbff, 0x04608478, 0xeb7f5e66, 0x593e7e49,
+    0x92fed708, 0xc0bdc7eb, 0x241d874c, 0x5f6feaa3, 0xb40e279b, 0xdbd74e4d, 0xb62851a8, 0x7ebb006f,
+    0xffc752d1, 0x027fd9ec, 0xb091608d, 0xd3127f8c, 0x223a7922, 0x242ad905, 0x2cc83ebc, 0x25dcd4fc,
+    0xfaaf91a3, 0x7365c424, 0x2bdbc598, 0x3eec8a2f, 0xf6f5b766, 0x2386ec5c, 0x6043d0b8, 0x24d3d289,
+    0x67660737, 0x178b4933, 0xc1bf1959, 0x80137422, 0x8571cd59, 0xda48bd60, 0x7f5ffb30, 0x17bb6c6a,
+    0xc0378483, 0x08e4d152, 0x8f1a633b, 0x1fc7c795, 0x6b62446b, 0xadbc9801, 0x4f5a3493, 0x23541971,
+    0x61cb4680, 0xdd6a5f05, 0xfc375f24, 0x48c31f8e, 0x01d17baa, 0x10bda996, 0x93379293, 0xb22e4463,
+    0x94052823, 0x1fb3cef8, 0xd666593d, 0xcbd8617d, 0x34c3bcc0, 0xae750fd2, 0xb43be8ce, 0xc53dbf8d,
+    0xaa17080a, 0xb88fa304, 0xcf20635f, 0xc6c9669e, 0xe9d687fd, 0x0e7f3a71, 0xcb9c127f, 0x6c400592,
+    0x0ae4ccce, 0xb7d4b8c4, 0xdf4fb116, 0xa2b64d6a, 0x8563d4c3, 0xb72f6148, 0x782bd71b, 0x4798ca4b,
+    0xe313405e, 0x479f5e71, 0x2b6aee20, 0xb74743b5, 0xb3e04fa9, 0x8ab5897d, 0x3354394f, 0x518a8881,
+    0x9c2a2641, 0x68a100d5, 0x1802812a, 0x96d8bf70, 0x475441c3, 0x421f9608, 0x5ce8ee44, 0xee1973dd,
+    0xbc4edf83, 0x71ec189c, 0x84260db8, 0xabc0ed0e, 0xd807e89d, 0x4a3f79ef, 0xe16eff18, 0x0a91ec1e,
+    0x4911ff5f, 0xf89e98e1, 0x1185b97f, 0xd0c52f35, 0x04525009, 0xb1d5dc5c, 0x255ee86b, 0x9ab6cf94,
+    0xe5077fff, 0x70ab25b6, 0xf3778d81, 0x4746dd3a, 0x04adfd58, 0xe9847b29, 0x56eb3f53, 0x602efbde,
+    0xeea6c486, 0x63f56e6c, 0xedf91bb3, 0xe11fd4e1, 0xad2fc919, 0x67c291b3, 0x2004b0f2, 0x97d0cc4b,
+    0xb8c22aa4, 0xb1a8272c, 0xc13d0981, 0xd2e69953, 0x5d5fff9b, 0x748a25be, 0xe5bf7b97, 0xa4e56334,
+    0xf4e0ee72, 0xd5d567e8, 0xe3667e9d, 0x59a69ac9, 0xb5ce12fc, 0xdcdcccf6, 0x1495eb85, 0xb32ac004,
+    0xe4aeb5c3, 0x37389fd9, 0xfd6f1c95, 0x66cd6106, 0x38086735, 0x7aff22e5, 0x0c225249, 0x0e2fc31b,
+    0xe2d6594e, 0x128ee8e4, 0xc0c3dd9a, 0xfa266c63, 0x6fef5486, 0xf8c5580a, 0x1cb261e2, 0x2fa81263,
+    0x48c5669d, 0x36f93f04, 0xd648f269, 0x932ee09e, 0xae395449, 0xf60cae5a, 0x1b03fb96, 0xe06a43b1,
+    0x61b3bd7f, 0xd7497ca3, 0xc24b2b12, 0x8682325d, 0xb50f70d2, 0x0335edba, 0x139e5427, 0x356703cf,
+    0xde218c82, 0x97376123, 0x2eb9e91c, 0xb0dfb792, 0x7cd6efc4, 0x2d21af96, 0x7f79a9ad, 0x1d49d5ba,
+    0x14f1f5fe, 0x902497f4, 0xb1ee0675, 0xc35772f4, 0x4e2ba741, 0x268e863d, 0x740df0f0, 0x41ddf619,
+    0xe7860554, 0xfbd959b9, 0xb38f7797, 0xe9f0965d, 0x81960142, 0x07428477, 0x02625401, 0xf032dc9d,
+    0x19fd414b, 0xfa3c31ac, 0x0438192a, 0xb0a821dd, 0xc228368d, 0xebb356fc, 0x651b4f35, 0xd5c90cfb,
+    0xfea18413, 0x2e8f9f2a, 0x74ed54af, 0xed095324, 0x0c5b850a, 0xa87409a8, 0x9501c122, 0xce52f3e6,
+    0x25a29037, 0x05b79b47, 0x2481ea40, 0xeb3a455d, 0xfbda8cca, 0x557cc95a, 0xf5d9d1f9, 0x643a5cd6,
+    0x74494e9f, 0x4dc527c8, 0x1d18bc50, 0x3e157913, 0xf4b0ff9e, 0x6cb5ed23, 0x2a73ee5b, 0x8352ce1c,
+    0x42729122, 0x82cd96d4, 0xa5f1650b, 0xf614c578, 0xd5acdbfc, 0xc1d79222, 0x591a9b8d, 0x2749368e,
+    0xa0acff5e, 0x4a9f735c, 0x4914a62a, 0x7a62a7ec, 0xff6a3199, 0x822b5cb3, 0x3d7ec1b4, 0x84a46cf4,
+    0x37d99d0b, 0xf3892328, 0x57b6faaf, 0x75cd4952, 0xa28f7f75, 0x1b2588a3, 0x95131939, 0x06762fa2,
+    0x2af3aeab, 0x34e54e7b, 0xde223798, 0x090388fc, 0xc75f14e1, 0x3b39aab6, 0xb04f4060, 0x34e99d71,
+    0x40641b3e, 0xafab3fb3, 0x4a2e9e6c, 0xfcd2b9db, 0x246fae0b, 0x1c480c48, 0x5b367c0a, 0x63d963bf,
+    0x5b7b939b, 0x307a2a3e, 0x0e2e2769, 0x1a2e2b45, 0x9fe9f723, 0x46cea1a5, 0x73ca201b, 0xbfc302c0,
+    0x1a588543, 0xe3b9d7eb, 0xd089118e, 0x13145e2d, 0xead8d767, 0xd97a96da, 0x5e3423e5, 0x666ba7fb,
+    0x713c9a0b, 0xda98120b, 0x3f95d437, 0x1d3e6337, 0x0901c817, 0xb1c685a0, 0x327a973c, 0xcd166ca8,
+    0xe293fbd6, 0xa6c9abcb, 0x2bc0e469, 0x0c45b4f9, 0xc2195c1a, 0x5fe9bbec, 0x9963e6a8, 0x975b2db7,
+    0x2ae71c7d, 0x6307e6bf, 0xc4f52974, 0xdfd9f6c2, 0xebc20407, 0xf9b5b451, 0xd3b7c46d, 0x30c14b6a,
+    0x0291493c, 0xbe5a7d3e, 0xbe8c1310, 0x60d1391f, 0xa8a7dea0, 0x624b7f78, 0xdd5db153, 0xe9d81e37,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000021267647932558653966460912964485513216 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da8120, 0x164a0495,
+    0x00000000,
+    0xa82d4dce, 0x2e5b5109, 0x6bcee3f6, 0xb39800a9, 0x549dde2b, 0x66aaa7d2, 0x8f1a7590, 0x873d7c6d,
+    0x43d45e60, 0x76e518b8, 0xd435355b, 0x1c6f3b50, 0x7df72586, 0xbb5c315d, 0x79dad8ec, 0x79cf6879,
+    0xe33018b3, 0x882c41d1, 0x22bf94bb, 0xc4471d3d, 0x12e91b56, 0x645c0b62, 0x4117221a, 0xcaaaaa58,
+    0x0a7c84b5, 0x9993a3a3, 0xeb359c82, 0x35022754, 0x60002c58, 0x4c9ae3fb, 0xcdb5a615, 0xf6bd1b23,
+    0x60bb297f, 0x542feb92, 0x9ad06fd3, 0x71b5bbac, 0x46815799, 0x9af351e8, 0xa2907282, 0x34c0c697,
+    0x11bb7c8b, 0x66940fc0, 0xc65d57a2, 0x38291990, 0xd562e2c4, 0x3f5bfbe5, 0x92869f6b, 0x90b75eff,
+    0x8acf073d, 0xea8047e7, 0xa5796e1d, 0x0f00695e, 0x091a7bc3, 0xabd3e086, 0xf2947426, 0xd5f44c1d,
+    0x8719b431, 0xcd501ccb, 0x1b0ee73b, 0x7bd6c353, 0x5045f2b9, 0xa8c0d7a7, 0x08209b32, 0xcf312815,
+    0xcfa5db22, 0xe9692f47, 0xd6035377, 0x993c34bd, 0x0cbe5f98, 0x6bb69754, 0xa5a07ec9, 0xdfccf6d3,
+    0x5ae5ea01, 0x3597479f, 0xf4507c08, 0x8a985e00, 0x0d652a19, 0xce053d04, 0x64db2092, 0x1959dee5,
+    0x59fe464b, 0x6af50f23, 0x4b8d6b01, 0x95a9efbe, 0x3f6422ee, 0xc4b09621, 0x0c907488, 0xc9632a4f,
+    0xbb54a9f9, 0xd09a1b81, 0xb06a31b4, 0xe7ff6f69, 0x1514522c, 0x084ce4fa, 0x0d9583e0, 0xac754d5d,
+    0x7fe440c6, 0x33a5a7f7, 0x23cfeeda, 0x2e6fb5ca, 0x63b6d3f3, 0xc14699ad, 0xa254a99d, 0x9817cbb4,
+    0x35f35848, 0x5be8d26d, 0x389bc84a, 0x65adf38b, 0xc937a1c8, 0x67bd0290, 0x8fd3fab3, 0xe8345f66,
+    0x90432171, 0x603ffdba, 0xb03f944c, 0xd8cf3e92, 0xf0c522cb, 0x6f1f83d2, 0x7946a8b0, 0x7d7da2a6,
+    0xe9f45130, 0xffe31f9f, 0xa1e23b6c, 0x4ae54765, 0x5b7fb8d5, 0x5199ecb1, 0x38c7bc56, 0x15a955c7,
+    0xa9558280, 0x0590e1f2, 0x89c7b356, 0x7b62acb8, 0x93eadceb, 0x5ee3226c, 0x717dead8, 0xe7803add,
+    0xab3214f2, 0x162a8a96, 0x011634cd, 0xb30cbb9d, 0xef4f0fed, 0x4d0d1832, 0x89927834, 0x18477224,
+    0x3b8fb788, 0xa93f0c10, 0x7a60c74d, 0xdfef98ad, 0xfb6296df, 0x617cf1ed, 0x8e029949, 0x0942bb89,
+    0xd0f45aad, 0x77206d3c, 0x54c190a4, 0x47777d55, 0xb2f2aa04, 0x72227154, 0x4757d660, 0x35a43e47,
+    0xfb02ffb4, 0xc23de641, 0xea029064, 0xa7108fcb, 0x7e69db2e, 0x32836410, 0x18fdb004, 0x66679e65,
+    0x39ac117a, 0x2ac248fd, 0xef5769cc, 0x5ccc70aa, 0x8c6d3041, 0x99443e96, 0xe9224e18, 0x9379dc61,
+    0x8eedfabc, 0xd2a0981a, 0xe04f14de, 0xa020777f, 0x9f51090b, 0x5a4b36ab, 0x20c2aeb9, 0x82094115,
+    0x207332f6, 0xbeaccac7, 0xcbbe80d3, 0x7feff482, 0x75f015fe, 0xa44bfb7c, 0x4fb312b9, 0xd8f245c7,
+    0x03bed598, 0x00e1e10c, 0x61e96a60, 0x8b1a90a5, 0xab6b7206, 0x0e887358, 0x40f45fa6, 0xa9a995ae,
+    0x5e0a9cf7, 0x8188e96c, 0x37026a4d, 0x3629ad6c, 0xa50000fd, 0x34f81864, 0xb47c4081, 0x285747f0,
+    0x9a6c78cc, 0x28461796, 0x18a15ac9, 0x58a5a17f, 0x9bac33aa, 0xefb5ef85, 0xd89ed331, 0x69a290a7,
+    0xa166571f, 0xb8683e70, 0x8b572d85, 0x70acc67e, 0x782a0b7e, 0x472635b6, 0xcd2163e6, 0x5952deef,
+    0x26ed8a37, 0x6d050e0b, 0xd4f16627, 0x8abb9405, 0x029bfb20, 0xde6f6b0c, 0x0975e98b, 0x9d38ce9b,
+    0xc9a77f4e, 0xd8efce18, 0x14b7386a, 0xaeb3e252, 0x6ef0c3ca, 0xc7895389, 0x850870cd, 0xf0fe2edf,
+    0x57f85b19, 0xe3550fca, 0xf34299bb, 0xdd14ae44, 0xaaf3e2df, 0xa720ca66, 0x4047f14f, 0x2a6e5a62,
+    0x2a387239, 0x26912a5f, 0x9fa4c609, 0xa1668a8d, 0xc950d3cc, 0x15ad9967, 0xada82e5a, 0x6e4c4b4a,
+    0x76b1d6cd, 0x789d9bd9, 0x1e1fb963, 0xd30c47f1, 0x2365de83, 0xf551913f, 0x1c8bfb7c, 0xf717f918,
+    0xe378de60, 0x666a6de7, 0x638d8bd7, 0x99370ccd, 0x68d3793e, 0xd01df8a4, 0xf9f4dc08, 0x0d0fffcd,
+    0x10d5de34, 0x58dcc3ac, 0xd6f91e1d, 0x76386222, 0xa3c7d27c, 0x675eb733, 0x3e90469e, 0x3c01c5f1,
+    0x199e3fc8, 0x6d9d2f91, 0x547e126b, 0x5e5bc9ea, 0x7c3d6f1b, 0x9e646ac5, 0x74b0cc11, 0xfc4bdbde,
+    0x4c46e58b, 0x56d10807, 0x2fbdf326, 0x90f516c2, 0xbe50dbc1, 0xe614f2ac, 0x12be1036, 0x349557c8,
+    0x68ea7ad7, 0x10d0eeb6, 0x5828994f, 0xab6e881a, 0x236c36d2, 0xc2288102, 0xc8628b41, 0xc6ed9233,
+    0x1f90385e, 0xc118297a, 0x0d7a6820, 0xad5b00e8, 0x18e2747f, 0x23f7d6bf, 0x01c4ec4e, 0xa79c452f,
+    0xf5e569bf, 0x4b35d84a, 0xaf8ffd4e, 0xe40411fc, 0x1b93a383, 0x3ead1e51, 0x25584124, 0x8814cb16,
+    0xb350e44d, 0x30a22a2c, 0xdf460e10, 0xe52db4cd, 0x5845c7ac, 0x5d9cc917, 0xdbf5a444, 0x325d096b,
+    0x3eb1b23f, 0xaff61c71, 0x9ec63d6c, 0x04cff56c, 0x34f724fb, 0xa8dd78d3, 0xf3ef8a22, 0xf9285188,
+    0xd54b7e90, 0x95b9536e, 0x7e5dbcd1, 0x351af172, 0x75b4f56f, 0x338ea6d9, 0x69c6960a, 0x214bc2ff,
+    0x405e7df0, 0x8b0ce0ed, 0x582aee2d, 0x9295b3cf, 0x7e28bfe4, 0xd9c0ca1d, 0x302d602b, 0xdce607e6,
+    0x5000316e, 0x0591b7da, 0xaa4a3af4, 0xd5ac31a1, 0xa8ab9b63, 0xfdaec351, 0xcb511da6, 0x66460db7,
+    0x93f6dbdd, 0x12b15acd, 0x6a51750a, 0x6d295389, 0x74a7aed2, 0x01e65aea, 0x573e8b3f, 0x0448bf73,
+    0x615ce5a7, 0x3ce8e156, 0x341922f9, 0x4937eaff, 0x4af6b726, 0xc5019a60, 0xe46024ba, 0x8f4e641f,
+    0x3a329965, 0xb3a03e06, 0xf489c133, 0x7878fea4, 0x2891f186, 0x6d43c0b0, 0x1d2bbbf0, 0xd3caad17,
+    0xe3b12a1e, 0x2fa0a2d2, 0x06740147, 0xbb6ea5db, 0x4dbc097b, 0x7bd19827, 0xf677ef26, 0x98d13d53,
+    0xc41c461a, 0x457e21b0, 0x507f62d3, 0xb51641b3, 0xda9ebfd9, 0x13696986, 0x0f51ccd1, 0x665b8ded,
+    0xe8598460, 0xe7a12111, 0xd5000642, 0x6719b5a9, 0xdb2f0945, 0xbc8d0265, 0x706468b4, 0x2f7023d8,
+    0xa98d05a4, 0xd7360c32, 0xccf1f32c, 0x175efee2, 0xe5159f04, 0x0ab99a03, 0x17ecceaf, 0xa84c4df9,
+    0x3344c50a, 0x2dc50b94, 0xd7aeb187, 0xfabb9483, 0x7888b39b, 0x8fbc8def, 0x0ffa03d4, 0xc3bf2f91,
+    0xd20edaa3, 0x5f092692, 0x9dc37566, 0xb0d1df6e, 0x5ef185e7, 0x7934691d, 0x0e0b20c9, 0x710934c2,
+    0xbe0499fc, 0x8ca65dd0, 0x18f6bd4e, 0x5df08b72, 0xc157a60c, 0x2601f178, 0xb727109e, 0xa0e95ded,
+    0x762e2e73, 0x2f7c5b5e, 0x7f7e119d, 0x299f2d9d, 0x2c132a11, 0x99fd402b, 0xea17b8d4, 0xf4d3d9a7,
+    0xf9639b13, 0x971c899d, 0x6e12a101, 0x11d94d9a, 0x5135ef98, 0x62f50c07, 0xa421f476, 0x23e6ba29,
+    0x503fe66f, 0xa3b0c9db, 0x5fedd7a1, 0x724ae08c, 0xfb5fc145, 0xaa8b5230, 0x469370b4, 0x9f84621b,
+    0x17a3c1dd, 0xd378daa1, 0xce7ba5be, 0x6f5eab6a, 0x44e93bdb, 0x92d195a2, 0x6d6baa20, 0x36673bb4,
+    0x6fb6f91d, 0x13076785, 0x6573c33f, 0xd39337e0, 0xe4464e8d, 0xbeedfc32, 0x6d32de48, 0xf3a92049,
+    0x6e817e9c, 0x581cb348, 0x42233440, 0x5862591c, 0x79f6be1a, 0xc3e0ad32, 0x7dc1c541, 0xbd12e4a6,
+    0xd5359111, 0xdfd4e417, 0xce0f6437, 0xf76dca89, 0x64286f5f, 0xe8ff5ab4, 0x4dea0af2, 0x216b0c96,
+    0xddd0eec3, 0xe816c310, 0xae819b70, 0x7dcd5593, 0x3a30e31e, 0x5a2e7d0e, 0x593c1793, 0x768b164a,
+    0x353ad07d, 0x034b1759, 0xb788ab9d, 0xc2ee1a4d, 0x2cfaf8d9, 0x0c7f78ef, 0x9040304f, 0x665316ae,
+    0xc14971d9, 0x99f39fc8, 0x96500ce3, 0xf9914c23, 0x2975c22e, 0x9da5a887, 0x5c4bbf59, 0x8b2277bc,
+    0x51615ea9, 0x90c8416b, 0x55c8394f, 0x161002fb, 0x764a3229, 0x036e7da6, 0x6df79eb7, 0xd94f7faa,
+    0xf51f6704, 0x2c195be7, 0x81a7add9, 0x15133111, 0x34cfdde8, 0x5058c405, 0x27ba13e6, 0x43edb124,
+    0x5203b8eb, 0xc682e7e0, 0x459a945f, 0x8d9e976e, 0x8927373c, 0x5ae4ebb7, 0x9a6e488a, 0x2e9fdd99,
+    0xf805cd00, 0x0bfb64cc, 0x6908f094, 0xf554df58, 0x82966f78, 0x0ad12546, 0xf6b736b5, 0x4770f689,
+    0xe1ea7361, 0x91724bc4, 0xd53983d9, 0x4e9a6cad, 0xaefcc458, 0xfb342ebc, 0x406fb2a6, 0xb5e8c46d,
+    0xc0c9e02d, 0x8f0ab4c6, 0x4a0bcc6e, 0x5ecfc978, 0x2fa56503, 0x7a9215c5, 0x9bcab516, 0xaf9a7922,
+    0x05af4781, 0xb7cfcdcc, 0x85adaa93, 0x4e11aeb9, 0x071483e1, 0xabcf0abd, 0xba108ccf, 0xfcc85e20,
+    0x7c5b0fed, 0x7899c6e0, 0xdedc6f3e, 0x3f7313e4, 0xcc9f9f3f, 0xef730227, 0xa89cb18a, 0xdbb4fdcc,
+    0x0c1d7ea2, 0x06b01fa5, 0x12fee723, 0x40c4ee0d, 0xc8f54a4b, 0xcdafa16a, 0x88edeb87, 0xaafa51fc,
+    0xb3f56ed4, 0xe792625e, 0x92d2af6b, 0xa04db1bb, 0xb162f0f2, 0xb3677f3a, 0x4089ec80, 0x8c15f690,
+    0x0187b528, 0xfcafc011, 0xe2f4d1d7, 0xf92fde15, 0x619f5a53, 0x82fe942f, 0x7c2afdcf, 0x3cfc2d5f,
+    0x8547eaaf, 0xe2e1e36b, 0x2b6017ed, 0x8078ecd4, 0xe03bbbc1, 0xf2de6a70, 0x732076c5, 0xd070666e,
+    0x57e92fcd, 0x2b7cc8cd, 0xfc90ed4d, 0x25470ce2, 0x6c9e3b78, 0xf89434ab, 0xc7a0d349, 0x3a74210c,
+    0x159f2265, 0x7d9f6994, 0x6afa13a4, 0x7244c38b, 0x57cea97d, 0x33595b11, 0xf474c1c6, 0x9b1dea23,
+    0x13c14a43, 0x2c52953f, 0xe119abf3, 0xcada1aca, 0xcbfd5c2c, 0x82b8a1bc, 0xf07bdda4, 0x9a36c48a,
+    0x9e854407, 0x411bfe27, 0x4048d695, 0x55064b48, 0x762ea099, 0x303bfe11, 0xfa71a70f, 0x77cce65b,
+    0x91c1a6f8, 0xc7d567c3, 0xdb171a50, 0x7be032d0, 0x9f61478a, 0x06f9c98f, 0x12120a27, 0x80f5b71b,
+    0x91e09040, 0xd1821a2e, 0xeddce088, 0x50a019a5, 0x6439cc85, 0x30fde60c, 0xc20975e9, 0x6ed2223d,
+    0xe5f4185a, 0x48ba606d, 0x71fb3ce7, 0xb2b27e8e, 0x9aac2edd, 0xf9f95d00, 0x2fb965a3, 0x90cf9078,
+    0x3e490b75, 0x4b737b90, 0x700d53df, 0xbec9055d, 0x9c287b20, 0x85f31b6d, 0xf50db566, 0x4ac44540,
+    0x824d56cd, 0xb38cdff7, 0x5d765d05, 0x7af09b1a, 0xa0662de9, 0x0eb01d89, 0xbe41f05b, 0x9ff13977,
+    0xaa0531f9, 0x7c40e54c, 0x2d46b4c9, 0x43049ee4, 0xbfcc2c00, 0x40fff0f9, 0x2a530566, 0x5f330dfe,
+    0xced4ec82, 0xcceaa7de, 0xdb8c6596, 0x9d67cfdc, 0x4dddec22, 0x71aee415, 0x09ffeaf0, 0xff643151,
+    0x06e7da64, 0x64a317ec, 0x342dce77, 0x38406a2a, 0x9fc5eaeb, 0x6836e84e, 0x79844feb, 0xc2715df1,
+    0x57df4bd4, 0xe6f0dcb7, 0x70734b0e, 0x5b98dcc3, 0x68681449, 0x4a39560b, 0x48c38274, 0x4718838d,
+    0x5fa0ebfb, 0x19ea45a9, 0xfc2be727, 0x85bcc076, 0x0fe4d407, 0x78fd263a, 0xb92d43cf, 0x143d95e7,
+    0xa4c95b5d, 0x59802f9a, 0x4287e8d8, 0xa1c5421c, 0x061c6b60, 0x90f33baa, 0x0914baa2, 0x416ed4a9,
+    0xe2255426, 0x14889ca1, 0xa0ff0779, 0x50ae36d3, 0x1449eb4f, 0x012a1014, 0x69039aa0, 0x3034e761,
+    0x8a2ac46b, 0xdbff6c56, 0x3502eca6, 0x11909028, 0x7cf4f4c6, 0xe455cbbb, 0x8a3642b6, 0x5176971e,
+    0x9fbedd9b, 0x59c6f085, 0xd6782ed7, 0x0f702d34, 0x18add1e1, 0x769cd905, 0x9e93d3de, 0xf3642576,
+    0xbe400355, 0xa1e35022, 0xcb3db7f8, 0x572a009b, 0x283b879f, 0xc6e7df71, 0xdf9ab7f1, 0x65d8cbc1,
+    0xb39d49c5, 0x048e2110, 0xfb54b420, 0x1b815a2b, 0x1dfb76b3, 0x9d55a0e3, 0x5968c8b9, 0x1d121ba9,
+    0xd5f3ae59, 0x3a34358c, 0x207a7b85, 0x61c44b5a, 0xc4540543, 0xaea1b14c, 0x55080849, 0xdf56af4d,
+    0xde85b6f5, 0xe4b4c92e, 0xc034df94, 0x049f1af2, 0x79d27759, 0xdc1231c8, 0x06c0735d, 0x948f867a,
+    0x52aa358d, 0xd63954e1, 0x937616f2, 0xad11e44d, 0xd6d5a38f, 0x6b45b27a, 0x3f909bd0, 0x2d851a65,
+    0x618fe621, 0xb97757a4, 0x5426f211, 0x92605af3, 0xdcf8a946, 0x8696145f, 0xd395e3d3, 0xe2910628,
+    0xc050dff8, 0x3410a964, 0xebb5f1ed, 0xcd9a1aeb, 0x22eea36a, 0xb4b0273d, 0xdf955025, 0x81fa5309,
+    0x4ec55309, 0x7aea9daf, 0x2046895e, 0xf202aaa2, 0x888584a4, 0xec3aa733, 0x3a805b7b, 0x2ac7db72,
+    0xec297b85, 0x638cbf57, 0x16966ef3, 0x8c5418dd, 0xd81578fb, 0x499f50cc, 0xa3166c48, 0x423d0031,
+    0x18b7e6fa, 0x2959aa0d, 0x9f605509, 0x1426f116, 0xbf2e5ec3, 0xfa808c86, 0x51bb9099, 0xa3b6b07f,
+    0x904d2375, 0xfcc1f0ff, 0x17ec3612, 0x5a7c9cbc, 0x9d734222, 0x3246b381, 0x4f30e197, 0xa5197149,
+    0x0e733d4a, 0x27605e56, 0x162e38f7, 0xc30cffda, 0xab8f3713, 0x8b1d7461, 0x84b98daa, 0x2ec6ad1e,
+    0xbba1aadc, 0x9e6a1e88, 0xae892431, 0x1a3c8937, 0xa5566b52, 0x264e845e, 0x358cd8ee, 0x52c0be18,
+    0xab1e373a, 0x446af98d, 0x5c0ace9f, 0x4d8eb0fa, 0x4b3c1412, 0x070ae236, 0xcd60713a, 0x2c4fab65,
+    0xd0246f76, 0x88fa4808, 0x45d29c7d, 0xd5dbe2cb, 0xd858d777, 0xb410523b, 0xada2744d, 0x4ea3efbe,
+    0xf0576e64, 0xde40b597, 0xb043b00e, 0x044083dd, 0xd6d69015, 0x98cc3b92, 0x985ea29d, 0x8e1ac28b,
+    0xc9207c6b, 0x8323833e, 0x00b4ef18, 0x981c6fc9, 0xa90cbfca, 0xe3cf9555, 0x12c6213a, 0x30c0a10d,
+    0x98dc03d2, 0x1143d9fb, 0xc65a6051, 0xdfe9388a, 0x1e7baaf5, 0x501e5011, 0x3aa24550, 0x96641503,
+    0x1a03bc30, 0xf4bdb626, 0xca1a2c05, 0xe48d3471, 0x0ea66167, 0xf520a0e4, 0x080eb810, 0xf47a38ae,
+    0xb4cc1c14, 0xd47bf360, 0x5ff99a80, 0x14722013, 0x9c6263bc, 0x6b9aa8ac, 0xf0b0abde, 0x88c55ff6,
+    0xdbc760d8, 0xc825803e, 0x2aa98774, 0x98ae0533, 0xff8b3d23, 0xaac0ab11, 0xdb0c42be, 0x4676e335,
+    0x0b890d71, 0x265e3448, 0x1f7b7776, 0xae9ad007, 0x25fd643a, 0x0c22a5f7, 0x85095e46, 0x742ddd03,
+    0x2dca00ac, 0xb3a991b1, 0x5268f1f8, 0x28c5251e, 0xe1e24e36, 0x25943787, 0x2156e974, 0xd394648c,
+    0xa712e851, 0x9e0fe52f, 0x0b4bb544, 0x1dc5989c, 0x09e73dfe, 0x66376c50, 0x05d927a6, 0xe74e95c9,
+    0xb7174e4d, 0x07bacbd8, 0x34720c6a, 0x9adf552b, 0x4c3984fa, 0x10e278c2, 0x9dc6eff7, 0x8537c340,
+    0x41cec979, 0xa112fcb6, 0xb58c9a4c, 0x769a2ebf, 0x0023f06d, 0xfe703a35, 0xa8e8572e, 0x300a50b4,
+    0xff93cd27, 0xef19a2de, 0xd8c2cca4, 0xfe74a5df, 0x9e4c589c, 0xf6e27b7e, 0x1ef93880, 0x18605a6c,
+    0xc80971e6, 0x308e67a2, 0x67ce1f12, 0x1f2cf6f4, 0xf576f7a4, 0x6159de7f, 0x7ff0aa00, 0x5101c23f,
+    0xa11aa485, 0x5b8d6349, 0x86ce48c0, 0x59f42119, 0x234b3c17, 0x05d6b01c, 0x2f52e89d, 0xa77fd387,
+    0x73b9285f, 0x0f17d291, 0x798c623e, 0x94b15b6f, 0x0345e1b6, 0x614532eb, 0x978be5c0, 0xd72440b2,
+    0xd04a03db, 0x0f2566d0, 0x887cf0a1, 0x126c26f6, 0x97800f6c, 0x2ccd8433, 0x3422b6a3, 0x2ce905be,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000010633823966279326983230456482242756608 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d4090, 0x0b25024a,
+    0x00000000,
+    0x92b83a26, 0x17db3fe2, 0x933c850a, 0x6d274367, 0x72ca33e1, 0x2fdb7a8e, 0x21732be0, 0x1d09c772,
+    0x4699d799, 0xb25f55fb, 0x47cb2dc7, 0xfb258d1b, 0x6e16ce1b, 0x0b189168, 0xc19f088b, 0xaff51d16,
+    0xa4240486, 0x21e73587, 0xcb6e31ce, 0x196ff5e4, 0x04e5c563, 0x43995d3d, 0x813b3fe1, 0x968536c1,
+    0x3473f8d7, 0xc3cb6c01, 0x31dc8605, 0x8be13cd2, 0xb9216ee8, 0xacaaffc7, 0x4d1abe25, 0xa9228860,
+    0xc9c82394, 0x783a4978, 0xb48eb748, 0xebbb5df9, 0x389953f7, 0x4bfcd10d, 0xd6e6d030, 0xcc19de70,
+    0xe4101802, 0x0fd53bf3, 0x6ac2717f, 0x3796ddf6, 0xac05ee45, 0x6e90d23a, 0xf04fe951, 0xad6179a6,
+    0x0c89dc39, 0xed8fff54, 0x73df786d, 0x55b0d34b, 0x2bdaef12, 0x316eb19d, 0x7cf54e6b, 0x7126270b,
+    0xaf3d9ac1, 0x4477ee6c, 0x4ecd408c, 0x578cce98, 0x056c33bf, 0x4d2c259b, 0xe8694c58, 0x707208aa,
+    0x4cb50693, 0xd7e8e09f, 0xe38194a5, 0x8e42bc0a, 0x9da67f62, 0xc66fd519, 0xdcbd86d6, 0xc4f791ca,
+    0x4e71956e, 0xf33ff697, 0x33cc0b8b, 0xfd3e7b7b, 0xa1bf6819, 0x89efa02b, 0xd383eb16, 0xe73b7657,
+    0x429bdccd, 0xaa290137, 0x92ebdb5f, 0xf853563d, 0xce157bd1, 0x3ce2d3af, 0xaf2d166a, 0x96d07fa8,
+    0xc8f04d46, 0x91ae5589, 0x09426213, 0x82027a27, 0x99ec28da, 0x2339fd33, 0xe154d4f4, 0x72e05df2,
+    0x3b31bd0b, 0xc05c6697, 0xc9d5ea89, 0x3ea57b61, 0x8f2698bc, 0xe04750a1, 0xb3a07540, 0x4ffa9b4f,
+    0xd562d08a, 0x743c924f, 0x77d1dd77, 0x918f6531, 0x26dd6bd3, 0xff356b4d, 0x244c2c79, 0x77a1baea,
+    0x31468c54, 0x2b7dcb15, 0x0e21d5d4, 0xecf0fc2b, 0x231f60fc, 0x9da6b1ea, 0xfc4639ae, 0x8cce8e57,
+    0x74afb531, 0xf717e454, 0x4d2bfe7e, 0x152b69ac, 0x2a74010e, 0x1098f32a, 0xa5894cf2, 0x948535a3,
+    0x7fc4c73a, 0x82f0bd2e, 0xa8ec79ce, 0xce85bb1f, 0x2c0cb040, 0xc42d26b8, 0xbc33b236, 0x48cd31c9,
+    0x259674a7, 0x90848886, 0x281674fc, 0x8d4bdd8b, 0xe02d5f82, 0xbcbdec57, 0x5f7abbfc, 0x643e90d5,
+    0x23dc1c1f, 0x1cf637c3, 0x3efa7a8a, 0x1ef8d707, 0xcb5b6124, 0x03b594f8, 0x0bfd2f0e, 0x2643751d,
+    0x2960ac40, 0xde0852ac, 0xdea3990e, 0x6cfab23e, 0xac57f99c, 0x41f3adf1, 0x58353c88, 0x66f1a15b,
+    0x7f266624, 0x0553a569, 0x6aa08a7e, 0x59752502, 0xaaaf2cd5, 0xa3dab886, 0x813d80ef, 0xb9eebc28,
+    0x053dcde7, 0x006e00bc, 0xb4edf88b, 0x7cadd5ac, 0xf43088e9, 0x3e8bdefa, 0x82fbf4e0, 0x7e386970,
+    0x865c39f0, 0x983e9c55, 0xf37c8dbd, 0xb4ce84e1, 0xefcdbd02, 0xf2134568, 0x6b5528dd, 0xdae0108b,
+    0xd0c4f33e, 0x330d5f61, 0xbf028545, 0xb41412bc, 0x4d43c760, 0x600ed514, 0xee2599fe, 0x27608ad8,
+    0x4dc0d60e, 0xce91296d, 0x20f1a849, 0x3d71e020, 0x4c96583d, 0xdc734ab5, 0x93f67109, 0x6be2d8bf,
+    0x0600ce24, 0x5347f3f7, 0x20149e34, 0x821a48a8, 0xc5a7cdf5, 0xf42c5d64, 0x05546895, 0xf7b171ab,
+    0xad5ced05, 0xdbc82a09, 0x512e9542, 0x8b4dd4d8, 0x8aaffb6d, 0x479406f5, 0x191b327d, 0x77933e5c,
+    0xe66f9a3c, 0x709c4eae, 0xb40f091c, 0x730a67d1, 0x79dde0be, 0xd9815b05, 0x913a7f18, 0x05a381c0,
+    0x61ec72c8, 0xa735557d, 0xee934ad2, 0x60c63570, 0x5ef5cd64, 0x7ab8f641, 0x1c523ff0, 0x71787de5,
+    0x9e48bfab, 0xa94d825f, 0xa4f041e7, 0x00a5fffe, 0x985b7578, 0xc55687ac, 0xb9341e2b, 0x577bf689,
+    0xe6753541, 0xc60839ff, 0x7cc1e6e0, 0xb0acaf7e, 0x25591f01, 0xbce5fdee, 0xcfc2e8ee, 0xe7ec73ae,
+    0x5676b713, 0x2fff13c3, 0xbc030668, 0x786e8fcd, 0x6287d16f, 0xe70bc29e, 0x3400caac, 0x58dd61f9,
+    0xa999ce99, 0x38413a8a, 0x40b10b23, 0xec134b66, 0x127595fb, 0x6a21d479, 0xb5dcfb04, 0x6139d766,
+    0x4a664276, 0x5b3c9b42, 0xd56237a4, 0x745a76d7, 0x1ef2850c, 0xa2dfa2f8, 0x54bab88a, 0x088caf83,
+    0x82c7325b, 0x9318d6ba, 0xecfa7afb, 0x3faaa7c8, 0x377bc50b, 0x864043ab, 0x4d1c172a, 0x5b20bece,
+    0x13580476, 0xe3573165, 0xf4b449db, 0xe23e1d0c, 0x9d7ad032, 0x7856ee00, 0x5949284e, 0xd13eb587,
+    0xccb7d758, 0x68034060, 0xaa5b0623, 0xa5e4bbb6, 0x771577e4, 0x0d4e5cf5, 0x3530e12e, 0x0c33cf10,
+    0x39d687b8, 0x39413c22, 0x8f3b787f, 0x7032001d, 0x6dfbbbf4, 0x7ea2fcda, 0x0e6f5acf, 0xb7220305,
+    0xc7255cca, 0xa44ca31d, 0x2e62a92c, 0x1fa84e86, 0x384b4497, 0x4d0d2c86, 0x4e63a53c, 0xeec7efd5,
+    0x04416f1b, 0x0c12bc3d, 0xf4699243, 0x306a4512, 0x58ceebc9, 0x51c6eb77, 0xe426a234, 0x77674f5f,
+    0xf16230fe, 0x4227c0be, 0x4585dec1, 0x73184cd9, 0x0f4b1177, 0x2ee722a3, 0x429054d2, 0xdb54a3bd,
+    0x2b85d697, 0xed7c23bf, 0x8693489f, 0xe744f220, 0x9ba399fc, 0x41316c65, 0x924807d0, 0xc1a62dc8,
+    0x91d60653, 0x345a95f1, 0x269edabe, 0x0f7e7664, 0xc7130f02, 0xe07a87f4, 0xcf05d9bb, 0xa74eacf4,
+    0x0fbd2218, 0x60f6151b, 0x765c3389, 0xb248e0e8, 0xf52c1870, 0xba1a001f, 0xd53f9e1b, 0xb5522e7d,
+    0x503628f1, 0x67a723bb, 0x4e600949, 0x62918c62, 0xc4d059cf, 0x2e23c786, 0x49b0f823, 0x0bf5a99c,
+    0xd6b168fa, 0x113624f9, 0x9ee23e28, 0x66b4eef5, 0xa39047b7, 0xd8601ec1, 0x8957eb96, 0xa0ccb87a,
+    0xeef2b4a4, 0x9aef90ca, 0x7b47134c, 0x24bf3368, 0x48d40bf7, 0xef606a36, 0x5359e0f1, 0x396eb84c,
+    0x21cc2e29, 0xbdd9a907, 0x4c149b90, 0xb870ae4f, 0x675fd95f, 0x69274217, 0x11ee234f, 0xea9a9448,
+    0xddb9822e, 0x77390f3e, 0x79f6baf8, 0xb7923646, 0x8652dd8a, 0x0d7c7fef, 0x4390927e, 0xbe1437bf,
+    0xa44df267, 0x55ce8bf1, 0x5b65547d, 0x2ee77521, 0x49e0f094, 0x9ddecf90, 0x45aedbec, 0xe0eaa6a0,
+    0xa8dc904e, 0x61eec759, 0xfd07d75e, 0xc9740672, 0xe62a4840, 0xed18a4fd, 0x907d0600, 0x352283c0,
+    0x1cce4f80, 0x4effd3eb, 0x8f63821c, 0x24977deb, 0x9a297a15, 0xf5039c32, 0xac18aae3, 0xbbc5897e,
+    0xcffb7fba, 0xf728cb29, 0x839f3b9f, 0x6e7f5408, 0xdfe55281, 0x06bea75b, 0xe4bef70f, 0x9de2b3cb,
+    0xbd057c67, 0xefecc435, 0xe4b45e40, 0xe5655ed4, 0x5a0065c9, 0x2fa93e3b, 0xf03feeca, 0xf238d5a6,
+    0x7698375b, 0x1d46703d, 0x5d1fe8d6, 0x519a57df, 0x88e92b31, 0x2e7211be, 0x882aaaf6, 0x8161d8b8,
+    0x996d3809, 0x73d51a2a, 0x3e8644b4, 0xe1c251e6, 0xf20e825c, 0x47eaacae, 0x07820c6f, 0xeae2849f,
+    0x47551ca7, 0x6018d8c4, 0x2a9f6a3f, 0x53f81257, 0xcfd588f4, 0xf606e66f, 0x720230f9, 0x5f9c0f0c,
+    0xd58ddf04, 0x2f5bbcc5, 0xea3bf349, 0x7e0aa424, 0x6b4a369a, 0x4f5d307f, 0x57e386ea, 0x7b64b901,
+    0x33a1662f, 0xbbbac587, 0x20530a3f, 0x3d179e9e, 0x3d4f7ac1, 0x7b00aa5b, 0x5702f3a8, 0x24c9a25a,
+    0x9da44244, 0xe601e004, 0x6c17f48b, 0xab5d3f96, 0x37d0f593, 0xc5f40545, 0x9cd6ab59, 0x19c6f8e9,
+    0x07c3ca5b, 0x80c967b4, 0xd8022a57, 0x1351c87f, 0x4f277d5d, 0xfbc2f7de, 0x81810bcb, 0xbd1a0dc3,
+    0x35fc6534, 0xe520a0ca, 0x123c45b2, 0x7f4a978f, 0xb6f92c1e, 0x3e8931d0, 0xcfa5d973, 0xb2e1d8e1,
+    0x24581857, 0xdc7b149b, 0x0806b514, 0xb7b76471, 0xc8bbbb03, 0x020a3746, 0x0b6558fa, 0x85266424,
+    0x1c9b45ff, 0x75b56551, 0x61517bfe, 0x074ee48f, 0xa9e23c60, 0x7ca90312, 0x68e832b8, 0xb51e9deb,
+    0x42af2ad7, 0x8695feef, 0x88b04402, 0x22d17d37, 0x567f4d01, 0xc60d103c, 0x10620b5e, 0xca96ad92,
+    0xfa395e5d, 0x3eae221d, 0x76c22e2f, 0xaffa048e, 0x252c0d3e, 0x75cdcdf1, 0x627c7e1a, 0x81c1a46b,
+    0xdd20663b, 0xa40b5c59, 0x563293f1, 0x75e7eb7a, 0xf0d212d6, 0xba330e94, 0x86a65d15, 0x3d541ac9,
+    0xa7dc0fda, 0xa8418a99, 0x1c2da928, 0x42c5d8ba, 0x24f05aae, 0x70558fda, 0x690b4d2a, 0x754ea2bd,
+    0x352bc0d0, 0x98330191, 0xd0a640db, 0x474a44b1, 0x5ad2514e, 0x6ca30168, 0x4a700cd6, 0xd7ac5054,
+    0x1977096b, 0x08e214c7, 0xfe39cb87, 0x2750bd9d, 0xa11588f4, 0xca3c1373, 0xa6ae4c32, 0xd642f0a4,
+    0x64f1bfce, 0xbf66467a, 0x6518fd7c, 0xb6c93e30, 0x7e24e24f, 0x52fdf155, 0x3ee64a00, 0xd7cd01b5,
+    0xa5e15092, 0x18514329, 0x5b9a1d16, 0x7fcb86f3, 0x3ba97294, 0x689b2738, 0xba505960, 0x9c57fd12,
+    0xabdf446a, 0x4fd4bb88, 0xe3ab3497, 0x9767d5f6, 0x2a60154f, 0x78b1cc66, 0x40caf8c8, 0x37a65ba9,
+    0x88a82e51, 0x052f616f, 0xaae6d7cf, 0x468dd735, 0xba67809a, 0x2170b481, 0x80652110, 0x01383cb4,
+    0xd0098a36, 0xa959c737, 0xa747e42f, 0x55cc7cfd, 0xf0869c6d, 0xe4b25ee2, 0x2d967ab8, 0x528e6ef5,
+    0x5f0eb6e8, 0x22db00f9, 0x5f14b965, 0xf1a79c1e, 0x0ed97275, 0x7a3cd800, 0x1425dd4a, 0xab43f525,
+    0xdbb7e3e7, 0x109477f0, 0x10d9f2f9, 0xec6469a8, 0xeeb267c4, 0x88424bf5, 0x170fe60a, 0x79b34059,
+    0xb3319498, 0x25e9bdfe, 0x99f72a0e, 0xa5a765f9, 0xd0c1544c, 0x9e8724dc, 0x8c46f88a, 0xb36e18ee,
+    0xe97c4dfa, 0x3b8ae98c, 0xced24801, 0xf919e165, 0x07b6e1c2, 0xcfe156f7, 0xd58913db, 0x58d057bf,
+    0xc5ff4351, 0x429b563a, 0x838233d9, 0xf51632b5, 0x34726bd8, 0xece9df5c, 0x02b1f4e8, 0x92749c66,
+    0x8091bbc1, 0xac361af9, 0xf5febfb7, 0x80691d91, 0x44e79fe7, 0x022b42e4, 0x853b2197, 0x6b252ccc,
+    0xa01e3ece, 0x7389c510, 0x55193af0, 0x5917987a, 0x08a53948, 0xea2d9b43, 0x10d9ab24, 0x9d379b35,
+    0x437ab249, 0xeaa88d61, 0x5eba87a2, 0x04233b68, 0x5c5b0588, 0x8dd3d284, 0xc24c4130, 0xd622acd2,
+    0x8b48a4ff, 0x34bfa913, 0x4cd53544, 0xcdba4770, 0xb6276ffc, 0xa9cb0702, 0x00553e25, 0xdcfdcff1,
+    0x1664755f, 0x87506f94, 0x2d431083, 0xb3a5645e, 0x6391efc6, 0x6356b328, 0xbb4aa336, 0xb51f3200,
+    0xa287aec3, 0x1a8c93c8, 0xeef1d586, 0x77bcffd9, 0x652be5e3, 0x2be46fad, 0x28aaa762, 0xff67767b,
+    0x61fcb503, 0xca64c69a, 0x985938fd, 0x7877457d, 0x8f592424, 0x0ee0de39, 0x00ab74f8, 0xe87c5d4f,
+    0xc74590d5, 0xbb5a80dc, 0xeab436ae, 0xa9393ce3, 0x85652b4c, 0x0c809f09, 0xb9b6899a, 0xadf9fe5d,
+    0x4556d555, 0x34ef1734, 0x8773bd4a, 0x5e680c0b, 0x4ffabf60, 0xc7c6145f, 0x11969173, 0x732cecae,
+    0x1ebe4976, 0x244074a7, 0xe7b1a28d, 0xa4f5a6e4, 0x6ee0c6e6, 0x2c6585b1, 0xad40cc32, 0xfd59f80b,
+    0xd6ef3a63, 0xf4985d5e, 0xe28ec1d1, 0x7ef84765, 0x04a9ff2f, 0x18bb181c, 0x8b2e4b61, 0xb38336ca,
+    0x56257f26, 0xdc873d8e, 0xa35d5633, 0x7ee75a51, 0xa7f79ab9, 0xb81930f1, 0x9b1aab29, 0x69c0e885,
+    0x16b4fe57, 0xc4e3b448, 0xb6a50c86, 0xb78de450, 0x6c29e33e, 0xdd7ff0d1, 0x55a19dce, 0x821ac619,
+    0x144a736e, 0x353c714f, 0x70692302, 0x58089cd9, 0x7a3488c8, 0x0acb9c78, 0x93a6c575, 0x6dc2b3c7,
+    0xb0aadb75, 0x6b08fd81, 0x8b350c5f, 0x9e4376dc, 0x358be3c3, 0xb19881d6, 0xa23930e1, 0x311fc299,
+    0x103a0b1d, 0x812325a1, 0x92e270d6, 0xbdde74ba, 0xb6c7eb04, 0x8db2cf05, 0x0ebc4bf2, 0xd0464b0a,
+    0x308c31e0, 0xf5e85f8e, 0xcf1d5b2f, 0xa37a8a1c, 0x1b440c88, 0x3b3d03e9, 0x3cc3e9ea, 0xe958fd14,
+    0x240a5eac, 0xf00721ee, 0x28595c6b, 0x6bbca916, 0x47c3ddef, 0x27d1097a, 0x43a3e540, 0x0f0f9b75,
+    0x0068c5dc, 0x9c5631ca, 0x143d53d7, 0x7f243438, 0x0910615c, 0x4d404c54, 0xaced5411, 0xb5c21f0a,
+    0x12d476be, 0x183310d2, 0x3b4933bf, 0xfd3ad7ee, 0x368d7f53, 0xe7cad06a, 0xb887c195, 0x3331bcb0,
+    0x356f2120, 0x96870537, 0x5d5e875f, 0x292adc48, 0x34f6810d, 0x29c1858f, 0xac6fb6a3, 0xbe5c6aef,
+    0x6bba0db6, 0x42ac3aa4, 0x022038b9, 0xb74913b3, 0x8cc30f79, 0x5d87fbb4, 0x0a6bf27a, 0x73bd0c25,
+    0xa0ad7632, 0x0ac024bf, 0x45243144, 0x11cab4d6, 0x73fb3d01, 0x7db9fa15, 0x53ac550a, 0x85262b98,
+    0x94106bc3, 0x7501254e, 0xb69c6ae5, 0x7a8bdc12, 0x28ce6809, 0xe5882986, 0x26cda07a, 0x71c1c338,
+    0xa51f51d9, 0xd88584cc, 0xf4406652, 0x7a5e0233, 0xd8337ce6, 0x4113e4ec, 0xd209c318, 0x4b622240,
+    0xa84e6ef3, 0x2ec37c60, 0x28c551eb, 0x97a73046, 0x43439160, 0x527bf954, 0x4cdbc262, 0xba4cfe4f,
+    0xc31f5ecc, 0x6fa57d61, 0xc851d7f8, 0xd8fc8811, 0x542fcaec, 0x4e89e801, 0x79fc01f1, 0xafa4dada,
+    0xcf461a8a, 0xc1c046f1, 0xed84fe78, 0xcdbda8d7, 0xe6a55d1a, 0x0448c451, 0x8c3847dc, 0x85b1b447,
+    0xb1943d97, 0x9d5e212a, 0xb63f8377, 0xee43aed8, 0x1fc333e3, 0xc52bd8a5, 0xcd449abf, 0x956cdf26,
+    0x887ac7f3, 0xf114b7cf, 0x173f260d, 0xfe20a2f3, 0x4de3bfa1, 0x8c94242f, 0x382e3186, 0xcb4e9e84,
+    0x07a082fc, 0xc80f35db, 0x59ade1f8, 0xa51863e1, 0xaf198170, 0xe23c0d12, 0x283a09ac, 0x6f704cd3,
+    0xe7b8960d, 0x08b0f140, 0x892672da, 0x0f684530, 0xfa2e40fa, 0xd4058a85, 0x71d0bfc9, 0x0fffd7fa,
+    0x004e004c, 0x0d6cb4b7, 0x5e366985, 0xa94e4778, 0x175618fd, 0xf92ff59f, 0x1a8c6108, 0x99db539b,
+    0x429e2f97, 0x5128ac34, 0x56f8db7d, 0x33083e55, 0x92699d98, 0xe5c8608c, 0x39cae854, 0xba27acd5,
+    0x4a7a8743, 0x64e060f8, 0xf364686f, 0xe1a883bc, 0x55542a65, 0x80b6e834, 0xd7a99389, 0xe28608f3,
+    0x2b50cc6b, 0x1ddbb37b, 0x36cefacf, 0x44c130e0, 0xfe71f1c7, 0xb4a65e7c, 0xee0a277c, 0x66c06d0c,
+    0xbef750cd, 0xbc4de2da, 0xeebe910d, 0xbcd04c3b, 0x053fabd8, 0x30c87854, 0xb05b2b53, 0x7bc11609,
+    0xaadcfb56, 0x726f84fc, 0x37188581, 0x0b7e3e25, 0x0bd23f46, 0x2c5ee814, 0x7aea7925, 0x1606ab88,
+    0x9506888d, 0x73a64142, 0xa017c329, 0xd2f1be0e, 0x840645dc, 0x198e9570, 0x2f24ecfa, 0xec23d411,
+    0x816c9c33, 0x69dde809, 0x90cb274a, 0x93905304, 0xaa9e6d43, 0x99b99273, 0xd16627d1, 0x2180ced6,
+    0xaf40331e, 0x925a2415, 0x53e3d8a0, 0x7eb5b006, 0x6e04ab2c, 0x23bd5297, 0x1f1c8682, 0xd1433ea4,
+    0x97deeec9, 0xc009e87e, 0x894db37c, 0x96a1e857, 0x81b068c7, 0x24a2f21e, 0x2d7fab27, 0x8d32d2d4,
+    0x96f00b43, 0xae88331c, 0xeea93924, 0x2aec7c12, 0xd62ace78, 0x12ec4f9b, 0x3d3337ad, 0xb5418e69,
+    0xe84c6b57, 0x74d254be, 0xf3b980c8, 0xa4bd427a, 0x68b96c40, 0x77c6ad2c, 0xb59d04f9, 0xbc2535f4,
+    0xe0e2428e, 0x650863eb, 0x32f12711, 0xda2b3538, 0xa3f7eae8, 0x164e8f37, 0x2852f61e, 0x223bb00a,
+    0x94710818, 0x6c678705, 0x30c4d2f4, 0x2c5a4322, 0xf6f293b0, 0xacf351b9, 0x739bae41, 0x2069959d,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000005316911983139663491615228241121378304 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a048, 0x05928124,
+    0x00000000,
+    0xc1cdfaf8, 0x2aafe995, 0xfde839bf, 0x05f4bfc7, 0x84b33222, 0x15c261e1, 0xb5a8dc2c, 0x3acfab59,
+    0xdb582ca0, 0xcc88a02d, 0x5cb4e68c, 0x0728f21d, 0xa8a1907b, 0xeb498d42, 0xf59afa01, 0xfc75629c,
+    0x82daea06, 0x76f55912, 0x6ae75353, 0x19d17fd8, 0xf901c0f5, 0x1b183298, 0x964ff0db, 0xf1b1047f,
+    0x4f229f16, 0x0b88e06f, 0xdea6945a, 0x6427e6c2, 0x13783e70, 0x65b4d614, 0x6a51d634, 0xeeecf9f5,
+    0x6524e4f9, 0x4534b7c0, 0x048e80f0, 0x95e72e32, 0xe137d41d, 0x026aae26, 0x91ef9661, 0x2d1b01fa,
+    0x9f87e9c8, 0x15df451a, 0x310fc815, 0x39a9dea4, 0xf5921f58, 0xf07aeaa5, 0xa2410a65, 0xd5a47562,
+    0x7a34d179, 0xbdad1fe2, 0x11612bcd, 0x6dc21959, 0x7b6906f4, 0x4dc40166, 0x99869196, 0x5af9e06e,
+    0xf5d3a303, 0xb902985a, 0xa552dba4, 0x9216b51d, 0x5034c817, 0x244d29ee, 0xfb6418d3, 0x3b97e9f3,
+    0xa33862b6, 0x4623607f, 0x6e0413f3, 0x1415329e, 0xec7c6dc3, 0x2b9bd9cb, 0x2df4e161, 0x7e78d812,
+    0x196f14be, 0x6a161958, 0xcd61b5cb, 0x8e6f93c2, 0xab37d5e1, 0x803b5387, 0x35b1f769, 0x5f79af45,
+    0x3714b20c, 0x6b03f6a5, 0xe64ac1ff, 0x6ba620fa, 0xb5bf4500, 0x1ddd3fb6, 0x5f478c95, 0xb8a90462,
+    0x246f777c, 0x29d710f8, 0x5d9f4676, 0xd1fdc452, 0x962f2610, 0x5406b537, 0x1b8c998e, 0xa6e62396,
+    0x39791e48, 0x5fcb942d, 0x82f5a25e, 0x10429ff6, 0xa0b20de2, 0x0e4252b8, 0x57e1c47c, 0x257ce994,
+    0x5736d080, 0x96ba0c51, 0x8cfb6aeb, 0xf86f7752, 0x47eb9c78, 0x5b24a62a, 0x6451468f, 0x8bf67ad6,
+    0x1967792a, 0xd6ef14cf, 0xa2bf8ce2, 0x209b49c1, 0xdbfc528a, 0xe9332448, 0xb4c71834, 0x9bdd4df7,
+    0xe8025b5e, 0xe23757cd, 0xcd19fead, 0x4a3eedbb, 0x0e6878d0, 0x76f92a9d, 0xb8323509, 0x03765f6a,
+    0x7a958f26, 0x1e1f0307, 0x3e6265a6, 0x9f962ed8, 0xa0024360, 0xdf5b9e5b, 0xdb46a8a5, 0x47bc911f,
+    0xb260eb19, 0x43a6ba3b, 0x87724051, 0x4a2e8880, 0x7b812c9b, 0x5790dad0, 0xbad9795c, 0x9db12b37,
+    0x34d92d02, 0xc66beb92, 0x22419d57, 0xdf2ccda5, 0x5b931e3e, 0x60028571, 0x22504fb1, 0x1ae00edb,
+    0xb4470b44, 0x0f403efa, 0x5bee52cc, 0x2d0f5982, 0x808d3d64, 0x05150ef5, 0x1baa5964, 0xb0fe815e,
+    0xf080747b, 0xb61f2732, 0x7ff81f01, 0x33e32115, 0xffd8b030, 0x3c41c8ae, 0xf5f99522, 0x590c79bf,
+    0x1f5cb2c3, 0x556b6043, 0x74c7e12f, 0x0383843d, 0xec9e2a12, 0xa967a046, 0xef6ef16f, 0xe3acbff1,
+    0x6e7a9d92, 0x9354aab8, 0x9e2dfeb5, 0x120b967f, 0xb7a48f53, 0x493a1855, 0x919dd8a3, 0xa36cd329,
+    0xdac1b85b, 0xd6caf0e4, 0xdd1b436c, 0x3215215c, 0xd34b3d39, 0x49b46d9e, 0x17643677, 0xbb226bd5,
+    0xd5634bac, 0x8fc4b035, 0x483ed8c8, 0x94cbede6, 0x0df26490, 0xbb5126a6, 0xf8f6dcfe, 0x11cc9cc4,
+    0x35320c34, 0xfc551aaa, 0x93a5e2f1, 0xde91ac8b, 0x68cca0eb, 0xe0687768, 0xbe5ea90c, 0x22091f8f,
+    0x599f4f3c, 0xdbd685b1, 0x29d39ca7, 0xb1c6b4e0, 0x2a5fcfba, 0x35892120, 0x807682fd, 0x7b1fdc23,
+    0xd5770437, 0xa9a33090, 0x2681c3af, 0x030ec586, 0x8619e788, 0x019092c5, 0x65c58f72, 0x6697bcf0,
+    0xdc7887c8, 0x20707524, 0xc2917ef9, 0x0dbfb08d, 0xf937e2d3, 0x1cea9118, 0xcb8d42e8, 0x12105cc2,
+    0x11a14281, 0xc19b4a74, 0xb42b1f10, 0xf11b0e20, 0x6f6aff15, 0xd2c88f4f, 0xf08a0acb, 0xe9b82b70,
+    0xb5c77f2f, 0x26d5b6ae, 0x37435f20, 0x06366cd0, 0x7e664697, 0xcbefe8f0, 0x6e3c9213, 0x12952829,
+    0x751970e8, 0xa0caee17, 0xb370ec26, 0x1b347eaf, 0x3a93489a, 0x48f9a8b3, 0x841f7596, 0x3af54ddd,
+    0xeefa203c, 0xf8535a87, 0x91424a7d, 0x9d363454, 0x32bd3333, 0xa09e8483, 0x031eb4b8, 0xcc065103,
+    0x5e51f365, 0x83137b1f, 0x804fab92, 0xd99e3c9e, 0x3b4b8d7c, 0xd02a8093, 0x51b04996, 0xd8f1e03b,
+    0x83a1cdab, 0x92ec139d, 0xf3869517, 0xced2ff04, 0xcdcfc3d7, 0x4fe774f5, 0xade38e1c, 0xa071c427,
+    0x006025d4, 0xf2344109, 0x228061e2, 0xe7d69ede, 0x2b01c4ea, 0xe2049aff, 0xfcdefcfb, 0xe38d977c,
+    0x9caed978, 0x0ae10aa5, 0x7e5201a5, 0xa4f2fbc3, 0x7d663ceb, 0x2ba2e961, 0x477a2877, 0xf233bf05,
+    0xf181f4bc, 0x8ae30a54, 0x71ff1e44, 0xbe16e9ba, 0xe2278ae8, 0xb43be646, 0x5c1f46bb, 0x8ab1a215,
+    0x968fce5a, 0x1a2487f1, 0xef61b847, 0xd289c7bb, 0x43491e30, 0xa3f50f02, 0x8c880fe3, 0xbdaa633d,
+    0x3a3a0e8b, 0x59ba1433, 0x5ad648f7, 0x5c50b2f1, 0x6e32253d, 0x6e186bd5, 0xbd45a5c3, 0x9e93b9ab,
+    0xc28be05c, 0x5c043fc8, 0x9d330d1d, 0x1a0e018b, 0x4da7659d, 0xb9f74594, 0x2a3c07fa, 0xd0e78761,
+    0x56e991a9, 0xdb71e4af, 0xba0b35af, 0x74800701, 0x5ba85cf9, 0x9d2489cd, 0x30b9c17b, 0xf09129b9,
+    0x93883a15, 0xbc7c6199, 0xa408d804, 0x7b16b0a0, 0x2e571d58, 0x508d9921, 0xa71cca87, 0xdddb5bb8,
+    0x580fb881, 0xf2367e28, 0x2bdc5cd5, 0x63840d30, 0x0542b422, 0xfed6a03c, 0xa606acf9, 0x93856c0e,
+    0x6c1337df, 0x8f442efe, 0xcb1ec780, 0xe3ad9f29, 0x3b7940d8, 0xc25cb1e2, 0x3197f8cd, 0x48b35780,
+    0xe9eb774a, 0xb3c536d0, 0xbfe26a68, 0x772e7475, 0x2b3fc427, 0x464efb16, 0x1cc3a840, 0x93df4fcb,
+    0x3485342c, 0xf6336698, 0x7d4851d7, 0x359509bb, 0xb2a018b8, 0x60edf8e6, 0x38bcd95e, 0xcd97ca73,
+    0x2a8cac53, 0xe615e731, 0x20ad276a, 0x6dcea974, 0xc25458d6, 0x0b75d643, 0x78794911, 0x7fddfc6a,
+    0x366fa0f7, 0xd41e6eb3, 0xe424ff73, 0x43d09dc7, 0x26d5f81a, 0xc38efffc, 0x84c2e790, 0x6940d50c,
+    0x78310f78, 0x851591cc, 0x2cb5faec, 0x9e977794, 0x072a50ca, 0x814001e4, 0x9635fc04, 0x7ec72dd7,
+    0xf694cfed, 0xb7595840, 0x4096bd43, 0xec822065, 0x2ed3fe0e, 0x649cc64e, 0x6c75a1fb, 0xe7125d3e,
+    0x6b5f9e91, 0xc65b59bf, 0x74c4f6d2, 0xb6630558, 0xe83cb0b2, 0x6daa043a, 0xb3cb4bba, 0x3136882e,
+    0xf79a1cd0, 0x7b9a611b, 0x025101c5, 0xb7d465be, 0x93ce14a9, 0xf7d1f8f2, 0xfd414708, 0xc469eb45,
+    0x6853c6ea, 0x5ea28e0e, 0x01d3928c, 0x6300604c, 0xff371192, 0x5d38ab1d, 0x41c361a3, 0xee92e66c,
+    0x5c1736a0, 0xfbdfb8d0, 0xf988e374, 0x99152a7c, 0xfdc5e771, 0x44b0d200, 0xc5eb1040, 0x04e18d6a,
+    0x9723db9e, 0x12947aec, 0xbb023c17, 0xb8613d13, 0xed672042, 0x3332151a, 0x9bb4259e, 0x7faa12cd,
+    0xbe456e95, 0xcdd4b6e5, 0x35b3d56c, 0xd497cfee, 0x313c2ae2, 0xbf2de4b7, 0x3c3c87b8, 0x86c20914,
+    0xf0cf8bd2, 0x7872afdc, 0xe1a6f1f4, 0xab3f273a, 0x1c1f55a5, 0x91d638ab, 0x42c46132, 0xbed286ec,
+    0x39aa1ef7, 0x469316d8, 0x1b4d0885, 0x44396df7, 0x6a7a4da1, 0xd2ae201c, 0x908735c0, 0x61d2802f,
+    0xc8acd51e, 0xf6369e94, 0xe6f65cd8, 0x9845f5ea, 0x0aa0009c, 0x00b5f4c9, 0x40fc3061, 0x6c5a7fbd,
+    0x9e5e89af, 0x121bbab5, 0xa85040e0, 0xa40d90c9, 0xc6645302, 0xfcf2c22a, 0x867698ca, 0xf265d657,
+    0x534ce1fb, 0xef104471, 0x048839ff, 0xe14e256c, 0x6b8ec142, 0x95fb89dd, 0x8598c68e, 0x0a5f5f18,
+    0x9c160a34, 0xd84d1e8a, 0x8fe1b6a4, 0xa7e0aba8, 0xc934cc5d, 0x90bcf9ca, 0x6624b23a, 0x72e7fa5b,
+    0x9a428ea7, 0x41324d27, 0x1ac91b6a, 0x7d296e47, 0x88bc11f6, 0x922858b7, 0x3b157dff, 0xe89bc851,
+    0x4d5a10c4, 0xd4eaf11d, 0x8cfb1393, 0x699fb676, 0x03b036b8, 0xbb83c09b, 0x1c9d6926, 0x817e8668,
+    0x47b1f929, 0xd222b8da, 0x0fc29c41, 0xfe54e8ef, 0x354a8022, 0x237dee7a, 0xb9457030, 0x60e1f52d,
+    0x8efac5a9, 0x2fde140d, 0xaa3a3e13, 0x7b37ee2a, 0x3a8ec93d, 0x0dd54428, 0x8b15ef37, 0x6845654c,
+    0x047b09a4, 0x2ef0aeca, 0x1ea8fc65, 0xe4b75307, 0xfa6c5306, 0x0963538e, 0x99d882eb, 0x516af9de,
+    0x595e3690, 0x712dd11f, 0x3fb5b998, 0x63d540d6, 0x0a4de1a6, 0x7b896b2e, 0x200abc6a, 0x163b2f19,
+    0x9fbe8608, 0xba1579ab, 0x0e2892ac, 0x83c1b08c, 0x7b3f49b3, 0xfbbf69ff, 0xb5ea7462, 0xa1a53ef8,
+    0x3e6fbb78, 0x030d4e79, 0x5b1b3d5d, 0x7592ad37, 0xb44d17c1, 0xc5fbfa32, 0x85ae3249, 0xaad99401,
+    0xc5740a86, 0xc554abbf, 0x56c0ac86, 0x10a212fc, 0x4a4fbba0, 0xb886be16, 0xa6f9c5fc, 0x5043a3a8,
+    0x291e81bf, 0x6e78eaa8, 0x82d73e02, 0x3dd34c0f, 0x1538b705, 0x644558bd, 0x45effd70, 0x1805ad1c,
+    0xda89a7a4, 0x884ebc4d, 0x61ec28b4, 0xd168e29d, 0x2deb4ec1, 0x14ad388d, 0xa544c8aa, 0xf07a3804,
+    0xee0f2a3a, 0x5ba4c6af, 0x0c70fb6d, 0xae76dddd, 0xf257382d, 0x42cef70d, 0x7ef91294, 0xbb48a6c6,
+    0xb7c7217e, 0xe16d652a, 0x9d7e3015, 0x8b2a0537, 0x9d37ce1e, 0x49584b28, 0x3b0e4f53, 0x1605547a,
+    0x0e23c7ad, 0x38c1857c, 0xda526d25, 0x2d181ad5, 0x350059c7, 0x75bafd94, 0x19fefb76, 0x9a83bd50,
+    0xc169c62b, 0x0066dc25, 0x308b5b33, 0xe307f3fa, 0x034cecb0, 0xbc3c4d9a, 0xe34aa1c1, 0xd6ecee50,
+    0xe5066d97, 0xa5162208, 0xebfbc26b, 0x8e51e247, 0xbb62505d, 0xbb178461, 0xcf97ec21, 0xb69ad559,
+    0x4777ce16, 0x74c49039, 0x33010652, 0xd592523f, 0xedec49cf, 0xa484465c, 0x400d479e, 0x99d4bd76,
+    0x7f0c455f, 0x88efc90f, 0x7de40589, 0x00315b75, 0x8135bf19, 0x44bda89f, 0x516a6dfb, 0x7136bc5e,
+    0xcca88375, 0x6d6723b2, 0x66f62a44, 0x67f44853, 0xd420b8c9, 0x66c37ab5, 0xc33a6e7a, 0x1369f1a5,
+    0x3b0707e9, 0x20992697, 0x61d0a7e0, 0x434a3bb9, 0x30a28a4c, 0x1908faff, 0x4ec0aa18, 0x0da36090,
+    0xa7048057, 0x66797862, 0xf60b8d17, 0x2643e46a, 0x1d62a51b, 0x5cc6e17e, 0xa67e6382, 0xa4967f1a,
+    0xc573dbc1, 0x919333b9, 0x9d2409b9, 0x1a0cb71e, 0xa7b0f7b6, 0x2158027e, 0x59e07d4f, 0xd4ebeb72,
+    0xaddd45b1, 0xcb691df6, 0x44cf5aeb, 0x4532dbbe, 0x270464c9, 0x06ea99ba, 0x7779280f, 0xb89127db,
+    0xccfa5dea, 0x50e78e34, 0x2d814ed7, 0xa7fdb116, 0xdce882ff, 0x40a2177b, 0xa0a7cca8, 0x60b219b9,
+    0x35c6fdb8, 0xe8bd6354, 0xb5ca2c96, 0x713c2de4, 0xdd509307, 0xde1e15ed, 0xd8e827b1, 0x7abe89b4,
+    0xe12c4e4d, 0x6bac7679, 0xdc0bcb62, 0x63139e1f, 0x7774917d, 0x9658d88d, 0x1c6d271a, 0x6c2981a5,
+    0x7cba10cc, 0x3c066a39, 0x15114980, 0xe1669051, 0xe1afcd1f, 0xd3eccfa4, 0xb20660be, 0xe2c3eada,
+    0x46148f8a, 0x821634e3, 0x02715430, 0xcbd83ad2, 0xb56db7c0, 0xb588beff, 0x051e34c8, 0xc73fc165,
+    0xf4bfefc8, 0xeb574a3b, 0xd62f1923, 0xc1388c81, 0xeb4f9f3c, 0xf019b00f, 0x7aa67ac7, 0xec50a444,
+    0x1cd33505, 0xc7624563, 0x507895b0, 0x0a048254, 0x07f9bf0e, 0x895353b3, 0x2498887b, 0x1dbc54e4,
+    0x4296bcb8, 0xb55831cd, 0xd13b7c44, 0x92f3335d, 0x179185fb, 0x09149858, 0x8aef51cb, 0xfd4f4680,
+    0x812d2af5, 0x450c9995, 0xb28aa329, 0x33417879, 0xf281ca7c, 0xa650a0ec, 0x70b675db, 0x8ff7c37c,
+    0x23cfb3e2, 0xca593c49, 0x2bd23bc4, 0x73dd211e, 0x03a2b90a, 0x74c253ef, 0x6fa07521, 0x1e130973,
+    0x2e16a49e, 0x36d5539e, 0xcb3700d9, 0xd7e35c15, 0xa71df48d, 0xa033ae58, 0x4f0d6559, 0x24229092,
+    0xf48ccbc8, 0xe6bd1364, 0x5521f393, 0x9152e80f, 0x5a15ba5d, 0x037ef76a, 0xb3bee6a0, 0xa8012001,
+    0x4c590b2c, 0x76761af5, 0xf193c030, 0x24af440d, 0xff8284fb, 0x6134638d, 0x0024b6b7, 0xe7fbb5f4,
+    0xe6a14dfb, 0xbaf55012, 0xd5a88b81, 0xca0e7a52, 0xf4d8be2c, 0x51ba063b, 0x8fd7bb09, 0x76a620bc,
+    0x66d51ed0, 0xf7c88f3a, 0xa2c6bc46, 0x8de8fb40, 0x35c43186, 0x0053f1be, 0xb0d2d37f, 0x0ec6c875,
+    0x67713da7, 0x73ba2aa5, 0xcde95b94, 0xc619bfc3, 0x81fc1c5f, 0xa1ab3f95, 0x65e1a9be, 0x1fad75b5,
+    0xea4ac628, 0xcf492c83, 0x9d6a57ce, 0x52428c88, 0x8105300d, 0x721fa56b, 0x684834ed, 0xd731361f,
+    0xcddc249f, 0xf28d0dc0, 0xa58bacf8, 0xfdca8512, 0x1766ab11, 0xf511b8fb, 0x56f273c1, 0x54ddf563,
+    0xcd276c48, 0xdc16392c, 0x60692449, 0xf9a0eb61, 0xac91892c, 0x557f613d, 0xf00e4799, 0x6e6f58c5,
+    0x144b1064, 0x41193910, 0xf474d8af, 0xbfb4d1e1, 0xda2a008f, 0x3085997c, 0xdbb1e4a6, 0x712ea39d,
+    0x314061a2, 0xf9963403, 0xbcce9c64, 0xd2b1face, 0xd9c7d396, 0xc5c1dd29, 0xd75c8c50, 0xad485776,
+    0x2289c3be, 0x947d5e73, 0x4a1982b3, 0x3ab12baf, 0xf95355a7, 0xec88ae1d, 0xaf3054d3, 0x97348779,
+    0x3643913d, 0x0bd6efb7, 0xe5d0382f, 0x4c1a7838, 0xe52b189a, 0x71272a1a, 0x55a5b66d, 0xb22b7972,
+    0x3d90b9e4, 0x47ffa6b3, 0x0bddf051, 0x39de45cb, 0x72339d5e, 0xdc993fa7, 0x9b46d358, 0x2da27c00,
+    0x76aca566, 0xe6482a59, 0x6f9d4d84, 0x61a149f9, 0x7d915341, 0xc1776e60, 0xbb378233, 0x69eaaf17,
+    0xeb3562ec, 0x990c1d91, 0x167ad4ca, 0x4c829e0d, 0xd4f4a291, 0xe599ef56, 0x24ed98b5, 0x0c6c2877,
+    0xa2e424e1, 0x650076ea, 0x6df6f720, 0x039c25f7, 0xa393d4c5, 0x972a1c21, 0xed9eb550, 0x8460ce18,
+    0x13363acf, 0x44e1db53, 0x8e20e49e, 0x76358bdf, 0x89aaca2e, 0x3f15ff9b, 0x87412099, 0x7940405e,
+    0xc258415f, 0xa090dd27, 0x9e102972, 0xd77a02f7, 0x577795e9, 0x1fc90015, 0xab1743d0, 0x50260d0d,
+    0x22413020, 0x17985ea8, 0x9483410c, 0x819fe4bb, 0xaf53352e, 0xf2fb61e1, 0x15fcdc2f, 0x517acdb9,
+    0x8ce1d43f, 0x23231b5a, 0x60f23030, 0xb0226c77, 0x72f7e734, 0x1da8780f, 0x85b3091e, 0xe0a2b77b,
+    0xc3c0b442, 0x2d89063f, 0xe916a3bb, 0x0be06641, 0x5cf7b155, 0x23cb5029, 0x623665c1, 0x24bed77b,
+    0xd7775318, 0x49aa196e, 0xbc88862e, 0xf8874331, 0x7f36937c, 0x6a38a73f, 0xc7ce931c, 0x8507967a,
+    0x68931bc9, 0xb55eb81a, 0x434dcc15, 0x7b795c39, 0xefbd35c2, 0xf1c0ddab, 0xd0958471, 0x6b0b171d,
+    0x61572926, 0x8fb3e2a3, 0x3be241e9, 0xf477ab5a, 0x91e3cc0e, 0x11a54a50, 0xccabbe22, 0x8b4cffba,
+    0x81b973af, 0x841e176a, 0x6d2a5337, 0xaf736ca1, 0xf314054a, 0x62024ad7, 0xe68ef2a8, 0xa0596d60,
+    0x35778664, 0x88892848, 0x6f032958, 0xe18769f1, 0x5d6580f2, 0xe5119b57, 0x0f80efc4, 0x6375b5c2,
+    0xff13d007, 0x4e289c88, 0x0369b203, 0xf2faa8d1, 0xc2212f14, 0x3f4e1f78, 0xac1dd337, 0xde240d83,
+    0xbd6a88fa, 0x0958464b, 0xaf991e74, 0x3ec1a89d, 0x989752fc, 0xc03c3bfe, 0xd9d02d99, 0x021b5da5,
+    0x9ded7b11, 0x63384eee, 0x4e99e4d8, 0x84ae6dde, 0xe030d221, 0xe3b25b6b, 0xcf304617, 0x504d355a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000002658455991569831745807614120560689152 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5024, 0x02c94091,
+    0x00000000,
+    0xdebdf108, 0x4aab4518, 0xa570de48, 0xd6435511, 0x868d7ef3, 0x8ec84eef, 0xf0e682be, 0x5671f431,
+    0xc92af67e, 0x5b98a1cf, 0xe5d6f93d, 0xf8cca619, 0x07a78564, 0x645406b3, 0x7f3efef8, 0xc99ee310,
+    0x24b453bc, 0xa0038a87, 0xeddf9824, 0x4e916502, 0x9c9e8b8b, 0xe125804d, 0xc69965a3, 0x7e995c46,
+    0x66b5fed0, 0xde27d59b, 0x6cbbf833, 0x9240c45b, 0x65cd44b1, 0x8a92ae3b, 0x75a5ebed, 0x1911c1a0,
+    0x6906eb83, 0xb9c819e7, 0xa1893f98, 0x8c6c74a0, 0x568ed1aa, 0x0ba688a2, 0x5d039dc4, 0x3fc72f1f,
+    0xa18af749, 0x32511c07, 0x796ccd24, 0x67be10e9, 0xf64755fb, 0xb2f7cb15, 0xaafca392, 0x8fc48d01,
+    0x08392b08, 0xb7621f97, 0x92a6eda7, 0xb9f07a68, 0x203778ea, 0x0107ab62, 0xe575dd2d, 0xd3c0029a,
+    0x0d7f08b8, 0xdcb1e63b, 0x62706087, 0xc92d0d0d, 0x305bd03d, 0x98403d2f, 0x0b5278f2, 0x65e4f879,
+    0xe497f4f9, 0x0a4d1459, 0x53a01f0e, 0x35021770, 0x85fe5245, 0xd6bb87eb, 0xb1903379, 0xac91d4ca,
+    0x574c9cf1, 0x78665b85, 0xf63a6793, 0x69d0ab4e, 0xd93f877a, 0xf29cc4b7, 0xc3d62225, 0x352527a8,
+    0xff026ada, 0x420531e3, 0xd8a93060, 0xadeb8e8c, 0x5384bfcf, 0xa4bc1d37, 0xcd75010a, 0x5e6a295d,
+    0xa35cb45d, 0x57a89ccf, 0xc1047637, 0x672a2510, 0x542b2612, 0x837ea045, 0x254c84d6, 0x1b80784e,
+    0x1bcc1fad, 0xdeb84ca1, 0x5b9470a5, 0x067c0827, 0xca89a37f, 0x6841d2a2, 0x15f0a415, 0xc7bc07ac,
+    0xcfd3820f, 0x0a2a9c6c, 0xf49a1b24, 0xdf9581fc, 0x4ef82579, 0xf85f8eea, 0x918fa570, 0x162b9f0c,
+    0xe3022ebc, 0xded2ce79, 0x019f79ad, 0xbe4122ea, 0xb7d21bf2, 0xc1e7f521, 0xfe137739, 0x717a1274,
+    0xde4ab61f, 0x9d7009dc, 0xef6e7c90, 0xf791f798, 0x3117fcc1, 0x3265cfa7, 0x2afde70e, 0xd71e8a0f,
+    0xe09eebe0, 0x5fbd693d, 0x6c685c51, 0x9821d02c, 0xb5f95cb9, 0x16b209aa, 0x58f7dfb1, 0xc1b6ae24,
+    0x3cdc28fb, 0xf085239b, 0xc772cdcd, 0xfbec7ef5, 0x4dcb19df, 0x39062cc2, 0x86d6b375, 0xb98903b7,
+    0xc288104a, 0x31a180b7, 0x7fd89f98, 0x71b91b51, 0x0b9d0736, 0x1e803f94, 0x8247b640, 0x789d88a9,
+    0x4a47d4a4, 0xbabbbacd, 0xdb304f26, 0x5aaefa55, 0xd9282d40, 0x21372293, 0xa1e355d8, 0xd8619662,
+    0x759b639d, 0xdee05e4e, 0xbcc75796, 0xadc87eb0, 0x8d2f1e44, 0xfbd93cc6, 0x8253e1ec, 0x925e0b49,
+    0x24040a92, 0x9d21ea18, 0xdbabee7f, 0x98e7e8aa, 0x569de84a, 0x3732f11d, 0x554e8ba8, 0xb4a48466,
+    0x4dd4ae3a, 0xa0796ed9, 0x79d0ea96, 0x06db33a6, 0xffcf1f37, 0xed97ad85, 0xd29065c8, 0xdac00a07,
+    0xe9f5468f, 0xa3f73df9, 0x9cce1bf5, 0xe7f5c604, 0x81d9cfbf, 0xf3fbcc23, 0x27538afc, 0x303a5bc4,
+    0x957b2e1c, 0x8e1839ac, 0x330140ae, 0x5d448f1f, 0xdd96bf4e, 0xcaca6e24, 0x6b2dba4a, 0x3d1b56ba,
+    0x0b2ff05e, 0x84fe2aaf, 0x9df3c108, 0xdbaee7b6, 0xf41ae4d8, 0xe1b6eaa9, 0xba064235, 0x3046f458,
+    0x319d4bd9, 0xf2253185, 0xcd26a898, 0x6d51112d, 0xd334e896, 0x98426f6b, 0xd70625d0, 0xf7751344,
+    0x12b10d25, 0x565e1d51, 0xbcffe19d, 0x71bc7d50, 0x59ea2e2f, 0x171c8086, 0x360eec17, 0xd208f028,
+    0x68018140, 0x7d2205dc, 0x04f2a402, 0x78e8c0cc, 0x13467fea, 0xda50eee4, 0x49644558, 0x4885acbe,
+    0xa56938cc, 0x1af17ceb, 0xfece47fe, 0xd6bbe0a8, 0x2c4949e0, 0xc6dd90c7, 0xfafbd630, 0xd5de17f7,
+    0xd52ef52e, 0x39071124, 0x758d66bb, 0xf6dbee3b, 0xfc999a51, 0xef628558, 0x229f993c, 0x9305f439,
+    0x4763eb69, 0x850aeed8, 0x78f9e3d2, 0x67bef156, 0xce9ebd1d, 0x0e88c4d7, 0xa230507f, 0x0e666190,
+    0xcb8755f8, 0x82481ac3, 0xd9ab3cf1, 0x2ada0cb2, 0x16dedc5c, 0xd8a9a7ea, 0x22d7b310, 0x2bab8812,
+    0x09b86cdc, 0xfeb854e2, 0x4f7fdedd, 0x20d18f68, 0x9903fdc5, 0xf2dc33b7, 0xa4e58e8c, 0x64dc01ca,
+    0x18e380dd, 0x5a0e32e9, 0x28e4de35, 0x9b4d61ea, 0xa98341d4, 0x5735acb1, 0x042696f1, 0xc3bca41a,
+    0xb75c1602, 0x51fdc816, 0x6166d334, 0x87e81c38, 0x890c886c, 0x463c7897, 0xde20cd2c, 0x40b530c9,
+    0x50659f1e, 0xd1b2e058, 0x2c2e75c8, 0x5c8b971e, 0xf5290e21, 0x167d7cb9, 0x30e38041, 0x0d7842ac,
+    0x6e6c5a18, 0x9272d902, 0x26e0f685, 0xf02b1b13, 0xb3a28c4d, 0xa5e6a84f, 0x208a738f, 0xf15014f8,
+    0xacf9078a, 0xb7eb42cb, 0x6562693f, 0x6c8fe49c, 0xa49b441a, 0x828e0ec1, 0xcc933e88, 0xc13dece3,
+    0x5e06f837, 0x19167ed1, 0x4e3463c7, 0x4b79c2fd, 0x3716d3b3, 0x70ac628b, 0x8ff104b8, 0x2fcc205e,
+    0x94c5b64b, 0x607e4766, 0xcda3a822, 0x3cd3f65c, 0xc473f856, 0x24c0d872, 0x658cbbfd, 0x73f742d8,
+    0x6f9883af, 0x74fc7278, 0x794326c5, 0xd85aeefb, 0xfeebc377, 0x5c562bdb, 0x60748bdd, 0x8ea7a235,
+    0xb299089a, 0x8f198c3e, 0x63bf2d0e, 0x92b45be4, 0x0e930c32, 0xb852a196, 0x0d22e5fe, 0x6322c60f,
+    0x7d19146b, 0xb78a1812, 0x8f81360e, 0xc04c1ef0, 0x5191e596, 0x10e46491, 0xed1ba754, 0x32fa7c7f,
+    0x0189adb6, 0x03a77f75, 0x92efc81a, 0x51cbd008, 0x296ae174, 0x4f9a03dd, 0x4244bd28, 0xbc935577,
+    0x0f25eaaa, 0xe5c46812, 0x352fff66, 0xb0f4855b, 0xe3f539f7, 0x3ad282fe, 0x97171ca5, 0x4c07f3ee,
+    0xf6cc85d2, 0x05492163, 0x7e630834, 0xac575d37, 0x4bd4fb6b, 0xa88c6bab, 0x52add2d1, 0x52daf05b,
+    0x7e1d9f1a, 0xe48c25ed, 0x20b0685e, 0x38eaebd0, 0x8ae05827, 0xb482b64b, 0x058d4465, 0x2e480c59,
+    0xb82e3bda, 0x6e7dbdfa, 0x000d05ec, 0x18475beb, 0x1f3ca7c7, 0x54f66e3e, 0x77191fb3, 0x5c509b7a,
+    0xd2f925c6, 0x627f96a4, 0x729a273e, 0x05e96333, 0xb821eeb3, 0x3e69e2e9, 0x67dc6a9f, 0x97312c7a,
+    0x8ebc1354, 0x0942b15e, 0xc57ac735, 0x05dfc9bf, 0xbfc99f05, 0xf0a78800, 0xc77372a3, 0x0b05bc34,
+    0x641f81c0, 0xad91a496, 0xf86a70ab, 0xfa2d7c78, 0xaa4ba2fc, 0x2de7d71b, 0xaf357671, 0xfcc43597,
+    0x8e97537d, 0x55a4f26e, 0x6de10f7a, 0x4413d797, 0xea15816d, 0xc801685c, 0x46fb8917, 0x7db9ca5e,
+    0x19527e7f, 0xa33d3c02, 0x624a4be0, 0x605a50a3, 0x5d0fc4cc, 0x91895e31, 0xe7d48c2f, 0x99b42204,
+    0x6048b543, 0x3ef3f651, 0xc5f61e59, 0xc75aebb1, 0x69bd9367, 0x917f655a, 0x6ece7526, 0x297d8a4c,
+    0x6e124efc, 0x14c35241, 0xc559411d, 0x24fe8737, 0x2533cf94, 0x2a3b00f7, 0xd12fec33, 0x336a70b7,
+    0x5143b2ab, 0xa4ba50be, 0x1765466b, 0x0a8d921d, 0x6fcd291a, 0xfe5c4785, 0x7ad919cc, 0xbb538b88,
+    0x8b48b23d, 0xc99c1d35, 0x9d32bef2, 0x443de8c8, 0xd66645b8, 0x38ff41e1, 0x06ec6a36, 0xde5c4f4a,
+    0xa1cc93b3, 0x8586a1eb, 0xbdd69d39, 0xbfcf76fc, 0xf9ae89f0, 0x483c3c63, 0x9fed4acb, 0x959b648f,
+    0x730ca1e1, 0x47a39b30, 0x871f8287, 0x9d2a88f6, 0xfa6c739d, 0xfc20a6be, 0x44c74482, 0x28685664,
+    0x68dcb07b, 0x398dce16, 0x305003aa, 0x396f1796, 0xfa1d1d45, 0x0e97bbd8, 0x1d6eba93, 0x2025ae38,
+    0xcd7d7ec9, 0xcfdbba7c, 0xb9d8f4d6, 0x914c35c0, 0xab94a1f5, 0xca887204, 0xca640a33, 0x30925557,
+    0xcc4c3ea9, 0xc127e9ec, 0x554e6aea, 0x4b583d87, 0x1c664d3e, 0x1e62bc79, 0xe504156d, 0xc2fa3449,
+    0x6f4d11a0, 0xb17ff1f3, 0x96b44aaf, 0x53a61cca, 0xb4b55708, 0xe20abd85, 0x8e7c2b83, 0xa2963390,
+    0xcc3321a0, 0x034a6da4, 0x51466907, 0x5481d724, 0xcb49bf6c, 0x553a98f1, 0xb03d8a92, 0x6a708ea6,
+    0xf76b7a80, 0x311813a4, 0x87b3a31a, 0xd4c7be93, 0x59fe3674, 0x2bb9c6d4, 0x48f430c6, 0xd5838205,
+    0xeca98c3e, 0x3823e320, 0x64c6e16e, 0x3087248c, 0x8c1308bf, 0xba3b04da, 0x51deca03, 0x42c19071,
+    0xde74fc35, 0xb645e245, 0xbcf738c0, 0x40dbba96, 0x3e622d12, 0x854d7a6a, 0x0788f85e, 0x167d5693,
+    0x258999b0, 0x610fa9ad, 0x5f52f019, 0x1647b6d2, 0x211969de, 0x86b8b668, 0x7b6fb585, 0x8233f9fb,
+    0x16910f1d, 0x4c42cc5f, 0x3fd49124, 0x2670fbb4, 0x7451900f, 0xe4ed3a7d, 0x5333e8e1, 0xd3dfb536,
+    0x167302a5, 0xd8d326d9, 0x566f7052, 0x57e7f239, 0x0ece9447, 0x8501bd19, 0xed7597dc, 0xdbfa7ad7,
+    0xea068510, 0xaf2a413c, 0x8397b25e, 0x2a455355, 0xb781e6b0, 0x2db4470e, 0x3839305b, 0x17cb4bf8,
+    0x13f6f137, 0x73901ec6, 0x978fb8a6, 0x4933dc93, 0x6b30dbc5, 0x4df185b6, 0x58937cbd, 0xf5bc378f,
+    0x95882c7a, 0xfc4ed12d, 0xf4776717, 0x5ee3603a, 0x4d90a9d9, 0x697eddc7, 0x2cbce3c6, 0xd7fc7122,
+    0xc0b0ce05, 0x0e9aa582, 0x4b733a5d, 0x3c229c14, 0x6ba046a0, 0xa7d82c36, 0x82e775a0, 0xe2b7b033,
+    0x8214c2b5, 0x93d3f596, 0x4859186c, 0xfc5c1436, 0x18979ccc, 0x7dc595cc, 0x43bf4ebb, 0xaf1bc881,
+    0xd05d4f93, 0xa3418d76, 0x746f2a2e, 0x4a51db11, 0x5f14aa4a, 0xb8c7cd99, 0x30c1f399, 0x36413e95,
+    0xa055321a, 0xe64f0ec6, 0x4cf3cc24, 0xe14b00a5, 0x229981b8, 0x936fbbd0, 0x17a7fe64, 0x99245d97,
+    0x41ff2ffa, 0x1b15784b, 0x3d1c5127, 0xc4b18a0a, 0x661c0e9e, 0x9151c00f, 0x3e2fedb1, 0x5f4f0fd8,
+    0x7a215267, 0x02526fd7, 0xc75fb5e4, 0x34032be8, 0xd84c9929, 0xe5dbd1af, 0x8f61bb70, 0x3165a892,
+    0x0581f551, 0x373c02cf, 0xf640d7ad, 0xed37954a, 0xd88ed44d, 0x9e7062a8, 0x4332e18d, 0x6501018e,
+    0x6832e10a, 0x84f4ee6f, 0x8b8b4a4c, 0x54a50cad, 0x23dffa4e, 0xbea58ff2, 0xe17f6917, 0xd721f4d7,
+    0xab1d3d63, 0x5343b92f, 0x40b5d8ba, 0xcb752f89, 0x3f193af0, 0xf8ef1527, 0xa3231ec8, 0xdca89334,
+    0x455b64da, 0x29f4dc97, 0x443f430c, 0x46e0fc7d, 0x4806a8cf, 0xc8104b61, 0xc8b73d5a, 0x5316a5af,
+    0x7c94b1d2, 0x8cd25721, 0x4ee3bd24, 0xc494a404, 0xa86625d6, 0x3b1111d0, 0x5aabc964, 0x49cdc76c,
+    0xf89474f6, 0x39d954e1, 0xf96211cb, 0x48132635, 0x53bcf67d, 0x1ed4a8eb, 0xfcf720d1, 0x56096f4d,
+    0xaa47a959, 0x603fa97c, 0x952e7b72, 0x1744c626, 0x2581329a, 0xe860c2ca, 0x418d7ad8, 0x4cba0a49,
+    0xe9aba0f3, 0x60e16a75, 0x17d95f56, 0x53063af3, 0x36c5017f, 0x4887a530, 0x814868d7, 0xc8b26777,
+    0x90ac5b4b, 0x494b08f5, 0xf31450d1, 0xe1e18e1c, 0x079d259e, 0x9866f9b9, 0xa2fde4b0, 0x87224e1a,
+    0x2e9ac43f, 0x94bd260b, 0x23be755b, 0xf405dda6, 0x6f91b166, 0x02796f9c, 0x2dc9ed07, 0x7af139cb,
+    0x7155023d, 0xba540470, 0x39117049, 0x589398e6, 0x722a14c3, 0x89b639f0, 0x199016b0, 0x1bd684ed,
+    0x4ef68114, 0xc53c8e51, 0x92e83adc, 0x168f580d, 0x6feb469d, 0x665710c2, 0xc4038608, 0x3c85013f,
+    0x4297ae5f, 0xe87c6210, 0x609c1aa2, 0xf0308d25, 0xb49a5925, 0x1edebd5f, 0x46d07f4d, 0xe3b2e643,
+    0xc66464d9, 0x8df39544, 0x78dcde72, 0xfe02e936, 0xaad945dd, 0xd33abfb4, 0x1f54b09b, 0x59eb5a8f,
+    0x8ae379f5, 0x9097d2cf, 0x3a41f6b2, 0x6cf23e19, 0x6a9b131f, 0x08a3a04d, 0xc52c0621, 0xee52a83a,
+    0x04ff5319, 0x57c8f128, 0x4d21f471, 0x125cc743, 0x550f5ae0, 0x0998c5f9, 0x43fbd5b9, 0xe842fb29,
+    0xe44e7ffe, 0xbeb009a8, 0x51c5f5af, 0x3f74cfad, 0xcc292959, 0xb3aba292, 0xf2e238f5, 0x03d96a31,
+    0xa006b66b, 0x832239d7, 0x62ad7d7f, 0x848774c6, 0xb27f2bec, 0x5eec3b65, 0xd8289aa3, 0xfa648e30,
+    0x19fb2922, 0x28123ff6, 0xc52ff381, 0x051faa99, 0x971cb5fd, 0xfab310c1, 0xbd9e5499, 0x949431c4,
+    0x6b5792f4, 0xc679d6cf, 0x69d1daae, 0xb285d652, 0x66e701c3, 0x42d70c29, 0x4371c871, 0x78499911,
+    0x11af4210, 0x2ebb0260, 0x5f403d20, 0xcddb729d, 0xe081eb02, 0x8b0da370, 0xb806ec50, 0x0957021a,
+    0x90c62d3d, 0x4c6c6fea, 0x7958dd7c, 0x09b53438, 0xa42e4479, 0x55356186, 0x695dd05a, 0x61c08807,
+    0x5f3f7203, 0x229f1bde, 0x354fdef8, 0xb18f343f, 0xd87dc4b0, 0x2f99f58c, 0xfa5ad8db, 0x4aac730c,
+    0xe0bd6bea, 0xa99343a2, 0x2f13a5cd, 0xf003dca0, 0x7674adfe, 0xfd604218, 0xe44b7a2e, 0x8650e987,
+    0xf7c60cc9, 0x46011b44, 0x6dcc92fd, 0x53d376b4, 0xd4f4c062, 0xfc0ff57c, 0xc4283171, 0xc6d3ed51,
+    0xeca2aecf, 0x0b1425a2, 0x3702141b, 0x4d32192a, 0xc2550a0b, 0x703fb243, 0x8fbf8150, 0xbb862294,
+    0x49a97f05, 0x588bc0f9, 0x9b05e016, 0x78453186, 0x40c25ab9, 0xaef6c998, 0x144541a8, 0x4089ba24,
+    0xffc6fed0, 0x32bc2397, 0x3214d996, 0xcb6ad322, 0x5656433a, 0xb163de28, 0xd95a1d0e, 0xa4b441b2,
+    0x2b4b48ce, 0xd28fb57d, 0xce1927ff, 0x10c5ad6d, 0x5495ec8d, 0x183e27ab, 0xf40b47c8, 0x778b039f,
+    0x20484796, 0x73bad184, 0xe7db64f9, 0x41aef893, 0x1152c7bb, 0xd9b63542, 0x8d9e2fdf, 0x353e0e20,
+    0x811cdf6d, 0x9d5479b5, 0xde775462, 0xd428bd09, 0x50fbc628, 0x74618b6d, 0x4cfc823d, 0x34252745,
+    0x06f86bc4, 0x16ca79ae, 0x069c5ff5, 0x3e9ae8b8, 0x4e3f8c72, 0xe322548c, 0x57aada69, 0x56bece37,
+    0x3f310fec, 0x9862f886, 0xe6f58735, 0xafd20ae5, 0x424f88a1, 0x5a379bbc, 0x5d2e11c1, 0xe757eafc,
+    0x8fa535d0, 0x0c19e59f, 0x38caee20, 0x8d894b68, 0x4a33762a, 0x805c463c, 0x1abfe535, 0x02cf0793,
+    0xa7348222, 0x42121d84, 0x0b694e06, 0xd5385de3, 0x651c3230, 0x82d659ee, 0xcdb2f435, 0x4f2c9a5c,
+    0x671014d7, 0xa1b44de0, 0xc93f7ee0, 0x06d75ba3, 0x73de1b17, 0xbafe0759, 0xe39dc484, 0xcf139553,
+    0x989bb249, 0x400c1919, 0x423934c3, 0x32cb6c05, 0xd861d806, 0xf1c44190, 0xdeba1752, 0x194c514b,
+    0x4807e8cb, 0x5108e3ed, 0x6f089d1c, 0x006ad7bc, 0xcc733356, 0xc0ac1248, 0x4b9c81e4, 0x23a4db83,
+    0x1d00a603, 0x5cde467e, 0x98115d10, 0xace7b027, 0xbeb3c21a, 0xd4a3ee30, 0x494c66b5, 0x32da2943,
+    0x78cf5018, 0x3c85e92a, 0x7c156b95, 0xf599db0b, 0xac0a08cd, 0x3386995b, 0x96ba8b06, 0x28706614,
+    0xca32c645, 0x11699ba4, 0xb5da101e, 0x114dacde, 0x06ef8ff4, 0xdb215dc4, 0x46897c2a, 0xdb85766a,
+    0xee6577fc, 0x5c1c1305, 0x87b1b836, 0xb3d9c77d, 0xb8843fc7, 0xaab2decb, 0xa797ab38, 0xd30a5185,
+    0x00a55733, 0x92afdc12, 0xdfe3de58, 0x9fbd4b4f, 0x3b830fde, 0x6a90f195, 0xb201b821, 0xe1cd59ed,
+    0x6bdeb811, 0xada0f937, 0xab4ff65b, 0x8a73750f, 0xc729aaa9, 0x5cd27ee4, 0xbe5a414f, 0x5b83088b,
+    0x90b01d3d, 0xe8117611, 0x241a16d5, 0xe6cf30f8, 0x1a31a9b8, 0xb44e93dc, 0x9f957e9e, 0x2b15db60,
+    0x22e85bf5, 0xb08bfc5b, 0x9b999e92, 0x23a947c2, 0x51eb7948, 0xe44e61ac, 0x6594a2be, 0x6ba2e9fb,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000001329227995784915872903807060280344576 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da812, 0x0164a048,
+    0x00000000,
+    0xa8da1767, 0xd415cb96, 0x57805a82, 0x1a4aa307, 0x9b9725d9, 0x6bfc2c81, 0xaf9cf3ea, 0x5005d8ad,
+    0x63a4d73f, 0x487f65c9, 0x6acf6413, 0x99a66a10, 0x4f134a8c, 0x5f4030d7, 0x1b69d6d0, 0xc7693143,
+    0xa63bf55a, 0xea05d8b3, 0xa8abeb80, 0x8d919d98, 0xb3e01035, 0x4c69e890, 0xb570df6e, 0x819bbdf2,
+    0xa226a209, 0x20f4ba32, 0xfcf031d0, 0x05233194, 0xc93b3b08, 0xdcabeb99, 0x221c6b11, 0x3608ba08,
+    0x54c5e0f1, 0x2dea9cf3, 0x2d8b419d, 0x19069381, 0x83fcac2b, 0x776e4854, 0x17e5e8e3, 0x3fe38c2c,
+    0xe077f3f1, 0x243459f1, 0xc1817c35, 0xf9a68dcf, 0x8583e688, 0xfc0ea646, 0x066231f5, 0x564927be,
+    0xddc0c44e, 0x8650aa44, 0x82c42646, 0x783e9527, 0x52e6cc55, 0x709fbb0a, 0xf85c7031, 0x10c55082,
+    0x3451e76c, 0x922d0dac, 0xa3a4fddb, 0xbc18e39d, 0xd92b262d, 0x766e42c0, 0xe9856429, 0x105f563c,
+    0x47e81cc1, 0x1797bd45, 0x571ffcff, 0x902c39a2, 0x3c417bf1, 0xe04da88f, 0xd2f2c0b9, 0xd9220387,
+    0x3569f9c3, 0x2913c1d1, 0x7d757dde, 0xc44ffbb7, 0x49888d42, 0x922b0e36, 0xa4c5a701, 0x0c1306d0,
+    0xb4c68970, 0x2a322438, 0x00da8f6d, 0x97b48eb3, 0x58844e4b, 0xc8cab79b, 0xfd4ea8f4, 0xdd80fc06,
+    0xc82d8fda, 0x712ef565, 0xcb2589be, 0xf2cd7443, 0x5212b3c3, 0xdea7fb9a, 0x185cbb52, 0x8269ffda,
+    0xdec44f06, 0x52e02b68, 0x7623d32d, 0xd201090e, 0x7f0c03e3, 0x65b75fec, 0xae86eae5, 0xfcabf4cb,
+    0xd88edfc8, 0x3115fc4e, 0x346fe2e0, 0x7bb45b2a, 0x3bd67a4e, 0xed847f2d, 0x1adfbecd, 0x2622afd2,
+    0x404ad91b, 0x731714f7, 0x613fd431, 0xd510c853, 0x4d9a3662, 0x2d911740, 0x5ab2eb7a, 0xa01f0640,
+    0xa305ff53, 0xdcaa10ce, 0xc2c7f3f7, 0xc6de0651, 0xbdb20247, 0x4cf81993, 0xa0345790, 0x92aa2379,
+    0xff93645a, 0x776f0da6, 0xf378deb6, 0xb82960d6, 0x0e82c255, 0x196c6d53, 0x4cf33cae, 0x25127aca,
+    0x8b7a2614, 0xe2e945fe, 0x34ba1515, 0x467a278e, 0x89873b1b, 0x6567ce1c, 0xe936810c, 0xf6f943e0,
+    0x611526d1, 0x3601310d, 0x33f7c0c5, 0x5d082b6e, 0xa83d5c88, 0xfeae252b, 0x83a0cf01, 0xb4f1c431,
+    0xf70856a3, 0xff225d14, 0x23369f06, 0x6b8effb9, 0xd54533f8, 0xb2f88e36, 0x1e9ccea3, 0xe12f3d23,
+    0x8219932c, 0x052e90e8, 0x990a78e9, 0xf8a73984, 0x91e6f241, 0xe5d1f619, 0x64deb2e4, 0x073f23d7,
+    0x62b30eec, 0xd1363c53, 0x4396031d, 0x1eb13d57, 0x2f0ece51, 0x9c37192c, 0xc98e7100, 0x562ef52e,
+    0x66aed893, 0xc8d04096, 0x957323fa, 0x694ee846, 0xbfd0a0a1, 0xf2458d87, 0x442bf53b, 0x79752e0e,
+    0x803c9d96, 0x7deef843, 0x087bab4f, 0x021a41fa, 0xe3bec2af, 0x94c5936f, 0x8d3a7f12, 0x90f90832,
+    0x5d06b535, 0xa05a07aa, 0x43fef6bc, 0x8731cde0, 0x535e0af3, 0x9f3398da, 0x869d0600, 0x229aaf93,
+    0xfa317173, 0x9d65cff8, 0xef789cc7, 0x2b02487e, 0x5131b0d5, 0x92e052e4, 0x15c6eefd, 0x1c8fc823,
+    0x288f6519, 0xd24e5c41, 0x6c67cc23, 0x82731916, 0x9db15ee7, 0x5f27ad73, 0x8e0e4dc2, 0xa7154df2,
+    0x3643cec4, 0x113f79e6, 0x752fcea0, 0xb992e3d2, 0xa64a6393, 0xfd673164, 0x38a07a49, 0x636ea301,
+    0x2b6e25b0, 0xc0feb0d2, 0xccf369fe, 0x52f5531e, 0x0759a991, 0x68519dd7, 0xb5822418, 0x3eb90073,
+    0x76980228, 0x1960a585, 0x0674d990, 0x536a46fa, 0x19561360, 0xa4bfb661, 0xdd8d6fa3, 0x90b24f45,
+    0x265188a6, 0x3dbd322c, 0xa6c06ddc, 0xe29294de, 0xec04ef84, 0xff2abc9e, 0xc761a053, 0xba86b471,
+    0xde5ed9b0, 0x6ea60fb7, 0x6ed489b5, 0xbaae34b4, 0x3488f681, 0xab666564, 0xf96cf8a1, 0x07198706,
+    0x7c76ac0b, 0x0803d57c, 0x7ecfc7c2, 0xa16e5fff, 0xd427bebe, 0xf1d41eb6, 0x68d6e9ca, 0x9e065b94,
+    0xf6c2766c, 0xc0e077ca, 0x5471d421, 0xef3cfce0, 0xeb47696b, 0x85037db8, 0x4b5e1b30, 0xde941ca9,
+    0x64343088, 0x3c601d7e, 0x5f92331a, 0x18dfd4ec, 0xc55e0e25, 0x15a563b1, 0x701666fd, 0xc05a1cb6,
+    0x4e925827, 0x6e5b4ce3, 0xb52bc994, 0x71efa2df, 0x63337b45, 0x9310d9f1, 0xdf9a49b0, 0x765b8c27,
+    0xeb71d5fe, 0x5b6a52e4, 0x2240e7a7, 0xed302d68, 0x1d9e1c8e, 0x7dc7ebd4, 0xd3212167, 0x399a9748,
+    0xe93f86bf, 0x5aa801b6, 0x78aa5616, 0x50992d6a, 0xbda4014a, 0x456ca740, 0xb3507214, 0x143f80e2,
+    0x0ce20fbc, 0xd6eb312d, 0xb2450f2e, 0x811e0165, 0x60646d96, 0xe0b8a32c, 0xa3154768, 0x95abd628,
+    0x30b12dab, 0x9c6931fe, 0x680ae7ff, 0xd500cd9e, 0xaf4eca1f, 0xeb9de5b8, 0x1cac791c, 0x438a5c88,
+    0x31df7110, 0x67ec844c, 0x84d07482, 0x2553ab73, 0x99cb40cd, 0x9455f98d, 0xd588329c, 0x45ad3039,
+    0x1c95540f, 0x23254d53, 0x24d92fac, 0x8549bfd8, 0x7f5e3a74, 0x8d9051e0, 0xbb854e2f, 0x1611bd53,
+    0xb8586e01, 0xeeae7804, 0x00ffb5f9, 0x7592da4a, 0x04a0f614, 0x8998138e, 0x083946a5, 0x4dc75258,
+    0x5516cf56, 0x565027a1, 0xb361122d, 0xe01c9b25, 0x76e2c032, 0x5fa8a098, 0xa9eb2a3d, 0x0bbb181d,
+    0xcdb05009, 0x247f37da, 0x42d14295, 0xe7fbaecd, 0xf6ea1ef4, 0x45842f0d, 0xb3e6fe27, 0x82d4fed5,
+    0x41415377, 0x6f5b5452, 0x56fd6af7, 0x66e49261, 0xaf29a640, 0x22484846, 0x2d3b15d2, 0x36ce396b,
+    0x26bddc92, 0x6a775da3, 0xfb6f1ee5, 0x60e280b5, 0x843fdff5, 0x41babdbc, 0x49a9bf56, 0xe086f169,
+    0x15dd01dd, 0x3ed139df, 0x89438671, 0xe8429765, 0x8e339f7f, 0xfc608e32, 0x461bd610, 0x01c45f35,
+    0x5b42ff7a, 0xd887180a, 0xbd0b9bf7, 0xf05ebe1b, 0xb346226a, 0x7b5ce417, 0xb91d53d4, 0xa9bdbc5f,
+    0x793918b4, 0x56f83bed, 0x5caa723f, 0xc3361862, 0x8899dd29, 0x3017e065, 0x8cad6c65, 0xe400790f,
+    0x2af3c51b, 0x07da199b, 0xb65d295f, 0x0aa63361, 0xc39df008, 0xb9b7ffbb, 0xbbb2e0fb, 0xb627954e,
+    0x13ed3d7c, 0xc4fa6e5d, 0xf8559fc4, 0x11ad2e0c, 0x4795fbe9, 0xbc76d2ea, 0x741d4c72, 0xbfcb9864,
+    0xa696e4a6, 0x1cff8a53, 0xadb0654b, 0x35633638, 0x09a1911f, 0xf75fef11, 0x68bbab31, 0xbb04a39f,
+    0xfe9bc2ee, 0x7a4b1c8c, 0x062dfe32, 0xe1690361, 0x077f10a1, 0x3f3a8c7a, 0x24488436, 0x713f4408,
+    0x81db822a, 0x3ecded9f, 0x77da9091, 0x3ff10de6, 0xdaca27e6, 0x3191e78d, 0x2ddc29c6, 0x450d7723,
+    0xb6bf2629, 0x02ececdd, 0xbb0ad5f2, 0x5eba42f1, 0x01095c9a, 0xb4307512, 0x8a7a996d, 0xb74c3a0d,
+    0xec3d7432, 0x8fc32125, 0x1eb4f3ae, 0x2068a3ed, 0x5607dd06, 0x2acac417, 0x83fac1ac, 0x1fc79507,
+    0x4108f782, 0xa0d2ec6d, 0xca47ed9d, 0x3eef9fc4, 0x026b3c4d, 0xedbf4b07, 0x5b56d3db, 0xb2940f33,
+    0x37d03682, 0xa9acd964, 0x50bea645, 0x9943a0b2, 0xadabff7c, 0x6bb8ad48, 0xeeec9b7d, 0x97140456,
+    0x38cdd21e, 0x54695ebe, 0x2c7ec6d0, 0x2b1e8519, 0x8b9e6339, 0x41ef65ef, 0x7ad508d6, 0xe6f5f924,
+    0xd3f9a326, 0x9bebd627, 0xce5b710c, 0x46a7ae66, 0x818c3353, 0xc7c02573, 0x61752171, 0x83902a90,
+    0x07fbc4fd, 0xe234e571, 0xc180b4f2, 0x650843aa, 0xa3b9d642, 0xe03be499, 0x401af5da, 0x2d28f916,
+    0x6c249f08, 0xec4d629e, 0x3f304460, 0xe7a62c5b, 0x118027cc, 0x61a41717, 0x2ed12f43, 0x65e2d28b,
+    0x298999b4, 0xc10036f6, 0x9d2dcd63, 0x47201b6d, 0x6593a535, 0x3d2bf9a4, 0x3b669e4e, 0x3d8d8f45,
+    0x71fa8b62, 0xc9a8309c, 0x03b8d25e, 0x227c9231, 0x6143aaad, 0xe2bbb496, 0x6cbd0f3a, 0xad7926a5,
+    0x41443f45, 0xc8331bc8, 0xfb57f3e5, 0x50de86f3, 0xba735658, 0x73466c59, 0x05067b6c, 0xaa6948b2,
+    0xc07bd7a0, 0x524e866d, 0xbaaeabcd, 0xdfd1b227, 0x0265f77d, 0x2e3cf080, 0x52ac9cf8, 0x2b46e63b,
+    0x7e16921f, 0xfac4125e, 0x4372d557, 0x9c466aac, 0xba744326, 0x8bda54a6, 0x75103fa9, 0xe788f76f,
+    0x7044dc97, 0xdf07032d, 0x4c201d84, 0x573fc509, 0x31b4b509, 0x6b2cd700, 0x2448fe4c, 0x6cd2e9d3,
+    0x0fd5bc5a, 0xed985a06, 0xe38e1f51, 0x984cd39a, 0x57e4a19d, 0x3826dcfc, 0xa59cc431, 0x4ec4ec5f,
+    0xd0e24f10, 0x2bee0350, 0x4494ac0b, 0x9444efa1, 0x9cef4f12, 0xbefb2787, 0x55068945, 0x895bf920,
+    0xe1010321, 0x8abc720e, 0x9aab8363, 0x9b1cf279, 0x80e17136, 0xe30b2b63, 0xf88ace5d, 0x84c0cc3b,
+    0x71091133, 0xd089dc2e, 0x341ace71, 0xb86a54f6, 0xd9488be3, 0xbb0f49de, 0x64f67f3f, 0xbb5c9af3,
+    0x9ab8b4fd, 0x5282042e, 0xad35664a, 0xb22ce025, 0xb6698d58, 0xfd714d65, 0xdf5af354, 0x627eda92,
+    0x3d3334f9, 0xc63e453b, 0x9072fa44, 0xece97510, 0x2d05c6e7, 0xa669437b, 0x30e683e0, 0xd654fc9b,
+    0xe8522fae, 0x246f0dd6, 0xa9bb8de7, 0xe1968d92, 0x0c4b80c9, 0x980dc160, 0xdb496511, 0xd526c16e,
+    0x4d0972e8, 0xcf5ea545, 0xa0bdde11, 0xf4e1d682, 0x49493e09, 0x19ee4ff9, 0x9f0120aa, 0xbdf0b0d4,
+    0xecc2b114, 0xdafdeda7, 0x5f4fe150, 0x963f0167, 0xca763c2f, 0x20625806, 0x5de49a9c, 0x9659513c,
+    0x17ecf540, 0x361af7aa, 0x92926371, 0x3f026221, 0xa7063891, 0x98b979fa, 0xaf5c8784, 0x2d266f9e,
+    0x56cd7357, 0xbadb38d0, 0x66c1299e, 0xc333ad80, 0x3f3a0417, 0xdde00054, 0x087d2a6f, 0x26c32fc0,
+    0x9f8f7daf, 0x99096893, 0xc51fb563, 0x26a22187, 0x20683765, 0x3e197208, 0x144bd50f, 0xb4af9331,
+    0x7fa25859, 0x2d9e2c39, 0x9a95c753, 0x51bd8d7c, 0x199d3483, 0xaa894a3e, 0x19966f0a, 0x8e1f39ef,
+    0x260d8cc7, 0x7c195abb, 0x39fe3b6e, 0x8fd64fbb, 0x8c9077c4, 0x5d4e63f2, 0x93ab1702, 0xf728d0f7,
+    0x814e27bb, 0x64748057, 0x90e71436, 0x5228b7ae, 0x7962d201, 0x1467e2f2, 0xa54fc5db, 0x7c7c96d4,
+    0x3490824f, 0x6d9cfe81, 0xb9e29737, 0xfdc718e4, 0x439efc3d, 0x109cf503, 0x5a55a2e4, 0x85935cbf,
+    0x5bb4b3f0, 0xd67bca6a, 0x88541437, 0xcd271eef, 0xda95bfbc, 0x95d3c8e5, 0x84bc344a, 0x5561e4cd,
+    0xc06bc5e2, 0x85ee4736, 0xe2e312af, 0xa1c97e46, 0x9f588adc, 0x0f087de9, 0xa4a127bc, 0xf051a617,
+    0x9e3e8607, 0x2a0be21b, 0xb510785e, 0x562f8c17, 0x753b4d2b, 0x9c049b8e, 0x4cb9cc8d, 0xe0a4a528,
+    0x39f3474b, 0x29391069, 0x2721beca, 0xcb76f878, 0x438c56c6, 0xaceb8280, 0xd5f5a06a, 0x5c86ce7c,
+    0x73a19838, 0x98d1c5a9, 0xaea28edb, 0xb532fae9, 0x4fd6c3e8, 0xffb892e6, 0xa6dedfa0, 0x38bf0ec0,
+    0xb7b74a9c, 0x8dab788f, 0x1347f2ec, 0x6bdb6e50, 0xe29c02fb, 0x2a1ee3de, 0x63691f90, 0xf7262b24,
+    0xb0a3f7f9, 0xb8b4a24c, 0xb9fee3ee, 0xe2139ec6, 0xfaabeb56, 0xba8790f1, 0x9573097f, 0x58578591,
+    0x98ecfdbe, 0xeb2c6109, 0x8b2003fc, 0x540643c6, 0xa8792979, 0x2bbce1b7, 0x6affdcc6, 0x69e09310,
+    0x5a1bbbc0, 0xba6feece, 0xbd887755, 0xd3081b7f, 0x555afbc0, 0x91525fde, 0x41f0b66b, 0xd1f63bfe,
+    0x372052fe, 0x212fc09c, 0x03f5b20a, 0x15297158, 0x3f1d010c, 0x3ac2fff3, 0x6b8d703c, 0xd0e47318,
+    0xdadbc31a, 0xa939d1bc, 0x8df41869, 0x2a6f4b7a, 0x8d91bc05, 0x76e17b3a, 0x5fac7374, 0x25c411e2,
+    0x2654a961, 0x580fa24e, 0x15c3c8df, 0x9a4a79cd, 0xea3cf128, 0xa14b3336, 0xf1488474, 0x0654c982,
+    0xd3eb9687, 0x9c1fc0a1, 0x839c9a46, 0x87c60623, 0xa79de001, 0x99d918c6, 0x0e16dc61, 0xade0c6df,
+    0x4abf0068, 0x88a19b49, 0x628d8be8, 0x76c090eb, 0xa7309511, 0xb7026e31, 0xb2d678b4, 0xfb773edf,
+    0xa06dbdf5, 0x8ae2641a, 0x1b12fe7a, 0x2d49a9ff, 0xfc40884c, 0x4e8a5070, 0xa254518c, 0x80eb412f,
+    0x54d24a72, 0xae05fa79, 0xb4865f52, 0xda0ff7de, 0x18adc742, 0x23375107, 0xae993567, 0x2f7b2c0a,
+    0x6b34cc38, 0xa087d6d4, 0xc35f539d, 0x5e9e743d, 0xe9f34169, 0x1e51aaf0, 0x43349011, 0x7366afc8,
+    0x11d8a77a, 0x1c887643, 0x2cf498d7, 0xfd06b161, 0xf10af102, 0x356bc419, 0x10f948a4, 0x14453961,
+    0x167d0dec, 0xe8a89500, 0xdb297bc0, 0xca2cb5f4, 0x0c77953a, 0x0508dea7, 0xd37876ca, 0xc36b3216,
+    0x51be2dbc, 0x31c974da, 0x2163c920, 0x1f5becc0, 0x69552635, 0xc39ccb69, 0x4ba989c3, 0xb1d4e163,
+    0x965ff280, 0xc5a5d4a1, 0x1a0b6e7f, 0x94928e6f, 0x3a1001ce, 0x367a130b, 0x18ef054a, 0xeba561b0,
+    0x69fe38ff, 0x199c2566, 0x0dc73ed5, 0x9d574a39, 0x28bbe3a5, 0x561b86bd, 0xa50ebeca, 0x1c5a81ad,
+    0x4313e401, 0x38cf6d9a, 0x2fdc6249, 0xeba6ed7a, 0xc0f47590, 0xe08ddde3, 0x26db1b8d, 0x881e3214,
+    0x2d30cc07, 0x25d44cdc, 0x63a350c8, 0x1df72da3, 0x9b7c851d, 0x61508bd3, 0x59e6517a, 0xb5d8e6d9,
+    0x930ef6c5, 0x284615f3, 0x777acbd3, 0x5eaa8761, 0x32a02f68, 0xc269deec, 0xb7943741, 0x4eec7f08,
+    0xa844b49c, 0x7c39b499, 0xea79c66d, 0xf7e63ee8, 0x3f35be81, 0xff7b1600, 0xeacf8010, 0xb11f52e7,
+    0x7fc1912b, 0x8e9db147, 0xe2b8f457, 0x809f69e9, 0x0c22cf90, 0xe058e33d, 0xe7ccfd18, 0xda92ebfb,
+    0xaf66e811, 0x81a876bf, 0xb4c8e4e1, 0x63c6447f, 0xe82a6d5a, 0x35c71dec, 0x0b49f64b, 0x9ae48785,
+    0xf2bc7cd2, 0xddfacb5e, 0x176ceed1, 0x4a4932f2, 0x94fe7e49, 0xa827199c, 0x556a7913, 0xf46112e1,
+    0x15671996, 0x32ea75b6, 0x670141e4, 0x3540f41d, 0x0f445dd2, 0x6b330072, 0x536fdecd, 0xc0399895,
+    0x1bc8d3e1, 0x168a72cb, 0x7be228fc, 0x63f0eae4, 0x497deb7c, 0x5e6053d0, 0x86ead892, 0x13424577,
+    0xb73b3d09, 0x46b69c33, 0x6911a909, 0xbba574c2, 0x8114519b, 0xbb3a82a4, 0x1382f7d4, 0x102893d7,
+    0x50ded415, 0x2cb2f46b, 0x2cbfad04, 0x2deacdd2, 0x7a27eafd, 0x9dda0196, 0x7e2ede4e, 0xf4824c75,
+    0xc231b3d1, 0x6ffe46b4, 0x30fbdcd4, 0x396c11ab, 0x329f64fe, 0x0e466798, 0xe858ffa6, 0xe90e1dd8,
+    0xb991a472, 0xfcb5e31f, 0x5869c520, 0x7279d359, 0xcdc8c64c, 0xb07f9acc, 0x20637147, 0xd6a5629d,
+    0xf6142edb, 0xe14f1150, 0x9ff0c74f, 0x7fcdf09c, 0xa2720501, 0x4265cf30, 0x7d66f8d7, 0xcc472991,
+    0x4bc80cce, 0xe5688828, 0x3e14c3a0, 0x411e5adb, 0xfd472022, 0x10ea96fa, 0x64644d65, 0xb02c6ccd,
+    0x03f6f600, 0x42d1d605, 0x30a07cf9, 0xc2476cf8, 0x1309d7f1, 0xcc9c25aa, 0xd761d9e7, 0xd415775c,
+    0x47c114a9, 0x02ae1ff4, 0x4b816a9d, 0x3a7672f7, 0x9106e1d0, 0x28f4ce22, 0x54b91555, 0xab990d1d,
+    0x45bd9d60, 0x60e1ddac, 0x938260cd, 0x1b59d1ca, 0x7166c104, 0xf309e7bb, 0x17d66a54, 0x16e94c43,
+    0x88eebf8d, 0x5b9a76dd, 0x400a5751, 0xe2f23300, 0xe1425abc, 0xb17bd901, 0x1b6cf25a, 0x84699b98,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000664613997892457936451903530140172288 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d409, 0x00b25023,
+    0x00000000,
+    0xcfe8aaa2, 0x14261973, 0x149958fd, 0x3c0e4515, 0x03e7d84e, 0x79bb4cc0, 0x57932858, 0x3ed8b44d,
+    0xcbfc2f14, 0x3661f674, 0x6c6ef555, 0x5d9966f8, 0xaa880f7c, 0x7a16e880, 0x5b81d56c, 0x16e0f549,
+    0xe82ac1e9, 0xb7364984, 0xc2e078e6, 0xc95cc66b, 0xe51a3a1a, 0x4093001d, 0x83f49705, 0x76c4e645,
+    0x5c56497a, 0xef0e51e2, 0xd03610f9, 0x0b2411cb, 0x3aaa560e, 0xbbe84d1a, 0x3fd0f63c, 0x6a05c1cc,
+    0x19f024d6, 0xcf01bc74, 0xc958e49d, 0x7514e879, 0x876634a4, 0x240d5e91, 0xb1a056d5, 0xa5473b35,
+    0x3b2971ba, 0x419f6c74, 0x84845fd4, 0x895466cf, 0x3820717a, 0x4faa5c11, 0x900f4ed2, 0x7a29b8e2,
+    0x70455386, 0x8b172d7e, 0x440ca093, 0x7930bdc8, 0xb40f0de5, 0x7c4ec560, 0x1ae1596b, 0x62ccb00f,
+    0xcd831a6e, 0x2ea572aa, 0xf569dac8, 0x3d536b47, 0x4b384a3c, 0xec087e25, 0x8f816be9, 0xdce39e8e,
+    0x4eda63af, 0x2fa77ddc, 0x8a69001f, 0xe4b2bc26, 0x37c49125, 0x0957055a, 0x5c7e5f2a, 0x6be318f8,
+    0x5e87cdce, 0x2aa75f79, 0x8d2e954f, 0x22446467, 0x4533bade, 0x24950c13, 0xecca690d, 0xb6c8b8cb,
+    0xef97a8d7, 0xd4cf0d71, 0xf649d3b4, 0x36ec31e1, 0x262de449, 0x22de78c2, 0xf83c614e, 0x4eca9668,
+    0x49a0014c, 0x2cb41318, 0xdf490aa2, 0x753fb4a6, 0xe8f4f4d9, 0xfcc61c47, 0xeb090f29, 0x110ac85b,
+    0x8e133669, 0x8f1a89a3, 0x42630132, 0x807630f4, 0x9c2d009a, 0xf1f6eccf, 0x24c260ae, 0xa309c82a,
+    0x1203b4c8, 0xb07cad2e, 0x88da44f4, 0xe8bfae48, 0xfbfc50b6, 0x04fb44b3, 0xa490785a, 0xbfba051a,
+    0xce08b66a, 0xb9bed6a0, 0xc3b9974c, 0x8a44d7e3, 0xe79a7d6b, 0xc6c6d817, 0x8b41ea89, 0xa199277d,
+    0x12643222, 0x6ace5331, 0x7342553d, 0xdccc7b4a, 0x76dbed17, 0xd057f055, 0x82f91e05, 0x6a6f27d7,
+    0x101c467c, 0x321ff5c2, 0x526f2a86, 0x056c69ed, 0x5b0dec58, 0x51d05c61, 0x972c6c7a, 0x9718f310,
+    0x3ccfcb5c, 0xdf781452, 0x3d874dc5, 0xdb24ca25, 0xa8594c13, 0x39b41b38, 0xfc24458c, 0x84ad394a,
+    0x5de6d5ac, 0xebd635c3, 0xb772bd04, 0xf4960338, 0x81acc5c4, 0x801b03c1, 0x05660987, 0xc674f48b,
+    0x49d00353, 0x04ce4c96, 0xd154fe5e, 0x2d63fa40, 0xb799b88a, 0x2a0a6068, 0x77efc423, 0x6eda5eb1,
+    0x7f3d4b77, 0xf0cba861, 0x6072828c, 0x00884eac, 0x6c893ada, 0x7dd7a052, 0xd44f0f17, 0xf75cb1cf,
+    0x67e1a6de, 0x0f994809, 0x7ed42105, 0x77579fa7, 0x060e1d4d, 0x241d2ffd, 0xe7d45aac, 0xebe85a5a,
+    0x35632be9, 0x2936edb2, 0xf01817e2, 0x03c77923, 0x577769f0, 0xb7cecaf0, 0xa0a45b5d, 0xc75a5292,
+    0x35100875, 0xffceba57, 0x914b0bce, 0x85690728, 0x9ac626b2, 0xaf0cb8db, 0xe607f8f4, 0xee680166,
+    0xad3f5148, 0x7c9ee1fb, 0xd064c900, 0xfe95b5cf, 0x15f3f9c1, 0xc4d6663e, 0xa34d9c4a, 0x9c2435a0,
+    0x8535ae56, 0xee10e394, 0x8e84a76d, 0x4cd51331, 0x24e599b0, 0x0b861111, 0x41a8264f, 0xf24fb670,
+    0xb5e5c7cc, 0xb0e5cb45, 0xe87624d2, 0xa51f998b, 0x3a9ea7bf, 0x1dc3fa9c, 0x4243db01, 0xc7843743,
+    0x7e6bfee1, 0x6afe67a2, 0xb9b67066, 0x6dcad5cb, 0x8155694a, 0x0af82c27, 0x733be3b0, 0x8d872e8a,
+    0x452caa18, 0x1ccc3512, 0x4705dca8, 0x56e5861a, 0x9552d19a, 0x9506d01c, 0xa98a1724, 0xfbd08d28,
+    0xcb31a556, 0x5f1af569, 0x222e9be6, 0xe3a1c7bf, 0xf3398e92, 0x091d428c, 0xbda64915, 0x84374386,
+    0x497c5c19, 0xb808fc37, 0x8d1b05d8, 0xb2e73dda, 0x1a32788c, 0xea9bf4a3, 0x2e1b739f, 0x58968b19,
+    0x588e69b8, 0x70e0c223, 0xe0c0e042, 0x7fae87a8, 0x5837b204, 0x3e7c2c09, 0x837feef9, 0xd52767d7,
+    0x09e49cc8, 0x6ed37c91, 0x206e96ac, 0xab532765, 0x8a508387, 0x73353b61, 0x94ab8d42, 0x75a1d923,
+    0x478e8041, 0xd7da120c, 0x0ade7214, 0xfdc71dba, 0xa7c81f12, 0x60390b72, 0x11e67a53, 0x70433de1,
+    0x86570f15, 0x579191aa, 0x013ddac2, 0xbd1c9045, 0x1ecf170e, 0x2ef8d4b8, 0x98f41ef1, 0x2c4657f7,
+    0xbc151963, 0xb5dccd74, 0x74779f50, 0xab6bf89f, 0xf9cc40d8, 0x7c762a23, 0x2d359785, 0xfec5dcb6,
+    0x15c815f2, 0x42eaa8e6, 0xcfc262c6, 0x69ada4fd, 0xc8a534d8, 0x4266c2cd, 0x1968a601, 0x7bde3a84,
+    0xca55f0a6, 0xca5b70e1, 0xec01a679, 0xc6082116, 0x41b551d5, 0x8f1ffd53, 0x4cbc1189, 0x70c0ddfb,
+    0xea97549e, 0x64bf7896, 0x2ed4ea4a, 0xee387a57, 0xfc7fef0c, 0x36fd7506, 0x031fe513, 0x20fb9fe3,
+    0x67107eb6, 0xfb17e702, 0x2f745ce8, 0xb7803102, 0x2597c6f7, 0x22f033a4, 0xe0027496, 0x9adcbece,
+    0x45602e01, 0x1648a891, 0xde002759, 0xc2acb7a3, 0x5dd1ca47, 0x4a0829da, 0x8d52c117, 0x983c79f6,
+    0x960a3120, 0x484cd7cb, 0xafeaaa3e, 0x97da9b5d, 0xa786c8b1, 0x332db154, 0x3afe0e9a, 0x73f6bd89,
+    0xa1953509, 0x4d215cba, 0x54198b4d, 0x017903fc, 0x92eb0df3, 0x277f87f1, 0x6e3b9bfd, 0x8b2136c7,
+    0x1cdbe2fb, 0x6c33c149, 0xd0b8c041, 0x134740c0, 0x5fe0c609, 0x8b47dff7, 0xdf3491bf, 0xd9525a94,
+    0x3400186a, 0xa7457ad8, 0x72401aac, 0xc5515db6, 0x19bb68dc, 0x5f3a53ce, 0x02327aab, 0x8978aff1,
+    0x7c5b07ac, 0xf636760c, 0xbec75cfd, 0xd32807c6, 0x2685b391, 0xb7b85e40, 0xe323d639, 0x8dbd824a,
+    0x4e5e6e09, 0x234788ce, 0x9bc9f272, 0x1e1ea3e5, 0x4a3b2197, 0x47861260, 0xd31ef623, 0x3ec5fbbc,
+    0x3bd051f3, 0xc782afb3, 0xf9304eaf, 0x3812875c, 0xcc33cae0, 0x9ef8c147, 0x7d80787c, 0x204fa2f2,
+    0xb399aec8, 0x5ef45104, 0x01d81109, 0x78a45309, 0x3aa04286, 0x2a19279e, 0x6e96a65f, 0xb896ad54,
+    0x8f17d717, 0x0ce5085a, 0xd0f4eaaf, 0x2ae64398, 0xbf580c3d, 0x21557968, 0x957d4032, 0x4d5b4736,
+    0x34aa0524, 0xe2cf8428, 0xdc98cd1f, 0x1c52614f, 0x89297396, 0x826e1fce, 0x2668dbfa, 0x44ffd6f7,
+    0xf06efc73, 0x5738590f, 0xde393acf, 0x226fbfaa, 0xc32bb04b, 0xc48342ae, 0x814dc996, 0xdf31a79e,
+    0x27cd382a, 0x785b270c, 0xac1094e0, 0x41edf8fd, 0xe0cb0aab, 0x3253b9cb, 0x89bed461, 0x5f138cb8,
+    0xd60ba40e, 0x4ea98201, 0x84b2ee10, 0x10096948, 0x38247aed, 0x5733bdf5, 0x6b384b61, 0x64981c5e,
+    0xd2b99c98, 0x7c54b46e, 0x67480449, 0xaa213d05, 0x5dbcbfd6, 0x07cab42d, 0x88fe975c, 0x73dcee5d,
+    0x86eeed6c, 0x561981c8, 0x7e7396c2, 0x3e62f0f9, 0xf84d3d21, 0xd3253721, 0xe4f6949d, 0x3fce3a3b,
+    0x0c0da82e, 0x694641be, 0x951b1cd9, 0xe289d3cf, 0xce16a5cb, 0x64ca09e7, 0xa56b72aa, 0x9f8ccf62,
+    0xfbfd9eac, 0x12e8a1b1, 0xb587257e, 0x06750636, 0xe0466bad, 0xf82f2c3c, 0x511de54d, 0xd76bb092,
+    0x750eb120, 0x8e40098a, 0x6205ad93, 0x73df12ba, 0x9d76e6ae, 0xe892dd43, 0xa280c4d4, 0xc31b8860,
+    0xec1a243b, 0xcab3de54, 0x23b821f4, 0x7540fc6c, 0xf2e62467, 0x45e24a5b, 0xfbf60021, 0xf78bcd64,
+    0x4458486e, 0x1752b5bd, 0x83438820, 0x988c30e6, 0x25ab3deb, 0x00cafce6, 0x7d8b824b, 0xbe3ae4e1,
+    0x31634135, 0xb9be9dd9, 0x6493eae6, 0xbe25f2f1, 0x604d7f79, 0xc9ca1604, 0x1122dc30, 0x3bbdf033,
+    0x5b165489, 0x66e174ec, 0xe9a1cdc4, 0x67ff1923, 0x18ad9f71, 0xaf9c4520, 0x6c001e71, 0x8fef84a8,
+    0xc5eca00a, 0xdf83dce1, 0xe1943a5b, 0xb837d4b4, 0xedc3e696, 0xb591f796, 0xbaae86a3, 0xd4e34b98,
+    0x8b8b5b31, 0xf01298fd, 0x5a9276fd, 0x3a3e819f, 0x46a795cb, 0xc1c1b404, 0xa0ce6296, 0xc27fbee2,
+    0x11f56fe5, 0x9c979916, 0xe4cc7c08, 0x7420f33a, 0x94c2001c, 0x1de52379, 0x1fa01585, 0xf8b0192e,
+    0x8b9d9f18, 0x6b2ebcff, 0x38708f08, 0xcb2b6118, 0xf16f0c4e, 0xf301a8d0, 0xf244e6cd, 0xea436ebc,
+    0x7de67277, 0x11abbb7d, 0xe026dc18, 0x7b0a623a, 0x016bf66a, 0x38c74b51, 0x63663f40, 0xe569f7da,
+    0xd4b683c8, 0x3382ebd2, 0xe84d35e6, 0x181a536e, 0x8a8ecf5a, 0xe4b9d526, 0x9e82824a, 0x96ab6b68,
+    0x1e531618, 0xbda01b32, 0x0aef93bb, 0xc024e902, 0x03f80167, 0x0be9d516, 0xadf945d3, 0x66f6a5cf,
+    0x14d6c05c, 0x4fbf94c6, 0xbaae242a, 0x903277e8, 0x4543b5ae, 0x7e69a7f3, 0x58adb401, 0x40c1705a,
+    0xab751d8a, 0x322e2c22, 0x8faf8c71, 0x5a207ba2, 0xee12826e, 0xba7fbdba, 0x6cfc9bac, 0x51d22bf3,
+    0xd1d7155b, 0xca8da909, 0x526928ff, 0xe3b8c21c, 0xde2271c0, 0xca3b8690, 0xc33c53c0, 0x09bc399f,
+    0x765417ea, 0x491b6e2f, 0xdee2cb2c, 0xabd62a69, 0xfa9eb752, 0x0133eef0, 0x3564b277, 0xb054c796,
+    0x25e9a0aa, 0x95a5de0a, 0x3642a41f, 0x89d1eacd, 0x64c405ba, 0x69280acf, 0x8d0f2475, 0xc63a287e,
+    0x7d6eb657, 0x05a72529, 0x6ce03646, 0xddf11139, 0x2efdbf20, 0xd15e23f7, 0xf3b6082e, 0x6159d58d,
+    0x5bcd1dbe, 0x82348c20, 0xa3bc127b, 0x70ef01b5, 0xa82290d9, 0xea9953cb, 0xb19c3176, 0xac51e7ee,
+    0xe1a48057, 0x209cdb90, 0x52c768cd, 0x4f54b001, 0x4a1f8c7c, 0x9d3b8e63, 0x243044b7, 0x6265eeb6,
+    0xc04b3d1c, 0x9dd1c8fc, 0x01d5d23b, 0x8c337b53, 0x121a38bb, 0x2fee20cf, 0xef9b4926, 0x2abc171e,
+    0x3a8ed904, 0xd6d24333, 0xe03e30ae, 0x239cc767, 0x363548bc, 0xee15ff70, 0x53ce76a7, 0xcafa23b7,
+    0xaac38169, 0x6061fa5a, 0x15e6e9ae, 0xdf3c1e55, 0x4f6435cd, 0x338490e6, 0x7142c2c5, 0xca7b5582,
+    0x110f341e, 0x736dad58, 0x8a9d3d0c, 0x0cdc0858, 0xedeb3dfe, 0x56084cbb, 0xc8705039, 0x6a5cf8de,
+    0xfa1d7c11, 0xba4796fb, 0xac9f4df1, 0x4fa7f446, 0xe1b4a668, 0x86d988aa, 0x66489272, 0xf1fe4dea,
+    0x65381643, 0x68a935a1, 0x3e0a0c88, 0xd20351d3, 0x8cec621c, 0xa9fb5666, 0x0f8a145c, 0x0e2ecd88,
+    0x78c88fef, 0x2534ce84, 0x0ecf69d5, 0x7f47d6d1, 0xd6778647, 0x3f2c22ae, 0xcfe652c4, 0x5841d279,
+    0x050abe58, 0x0d492ab8, 0x621d01bd, 0x2cf22ca3, 0xc1b861eb, 0xa5832595, 0xead49094, 0x9fe037a2,
+    0x3d2c3f62, 0x664fb5d4, 0x1ec0a537, 0xbcca1742, 0xd2e4c187, 0xc966c4f9, 0xfe0c97e1, 0x71d16528,
+    0x04fcb493, 0x26ada1c6, 0x8636a4c6, 0xa88e13c8, 0xc2add827, 0x26a70339, 0xaf77d28a, 0x39364d62,
+    0xe7cd921c, 0xa7785933, 0x76992fe8, 0xdbb39cc1, 0x44dd1fcb, 0x72164f46, 0x53275647, 0xdbcea736,
+    0xf6196ae5, 0x22d72aad, 0xce51bc36, 0xd71ef780, 0xb28b8009, 0xfc76ce34, 0x951877e5, 0xaba1620c,
+    0xdcf7d505, 0x707e0e3c, 0x99e4285d, 0x8aa8fd1c, 0x4d636ca6, 0xd200c070, 0x3a8cfb55, 0x317ebf9d,
+    0xad504a13, 0x29e9f420, 0x8bfdf148, 0x9f673594, 0xcb319a5a, 0xabdeddcc, 0x2a6dab96, 0x290d5bf2,
+    0xd6f5ca50, 0xa5aee7c4, 0x086f6c7b, 0x75e3ad74, 0x528ad099, 0x4ab51f63, 0xc09ef596, 0x497792a7,
+    0xb2b56eb7, 0x36b08899, 0xfcad6d1c, 0x8b36b5b7, 0xcc5d3ae6, 0x11d366a2, 0x5b88edbd, 0xc20bef51,
+    0x8f74950a, 0x031c217b, 0x152bca53, 0x623876b4, 0x46cbeef2, 0x92a415da, 0xec36780b, 0xb51c73cd,
+    0x780979fc, 0xe48483bc, 0x505e2c00, 0x9723bf4e, 0x96991043, 0xd7343dea, 0xbcd80b01, 0x4cb966c3,
+    0x72ea8301, 0xd28ea1ad, 0x14f0423b, 0x84edeb83, 0x57f0dfca, 0x2b46db1c, 0x73057364, 0x58bf14fd,
+    0x7d301a98, 0x3ac48ffc, 0x18ede56d, 0x78d7b906, 0x87f85bfe, 0x2dd77057, 0x94b6f658, 0xc6609fca,
+    0x7adf8783, 0x25068045, 0xf4074d41, 0x16a4201b, 0xd56c61f1, 0x10a3af44, 0xc40b6b9c, 0x2482c923,
+    0x7d65ff2a, 0x0c9c3e61, 0x0915203b, 0x5d7e1884, 0xff804a7e, 0xfd211566, 0x42560999, 0x80cf9cc7,
+    0xb3d2f927, 0x3e12b2d5, 0x31cdb86e, 0x7fda5371, 0x147b24dd, 0xf87bddc3, 0x6145f8dc, 0x19cecac7,
+    0x8d7af003, 0x1f048548, 0x01fd0530, 0xa0046a3e, 0xc8f1163b, 0xe8653c53, 0xf31dcf98, 0x9ea43369,
+    0x2b0f5525, 0x23b01fd5, 0x348beb9f, 0x2bca1a59, 0xcbbb7e69, 0xf6383026, 0x5f3035b9, 0xd6fbb3d0,
+    0xc2a26fe3, 0x6d86219c, 0xbc2ee1e4, 0x4215a116, 0x36ff9428, 0xce57ae87, 0x525994bd, 0x70503335,
+    0xe8f40813, 0x823057be, 0x4bb73815, 0x69e92fef, 0x7cec24ce, 0x476c77e1, 0xed1c34e2, 0x7a6ba7dd,
+    0xd430df12, 0x44943536, 0x1e1c444a, 0x4bbfd9ef, 0xf1438896, 0x374c3eee, 0x00499308, 0xaa608530,
+    0xfb1caa9d, 0xbb31e48f, 0xb997c3aa, 0xdf08be6d, 0x21f54ff1, 0x7ac9b39a, 0xe679793e, 0x2da89ac8,
+    0x039c86c1, 0x6b35ed1a, 0x74ef0c70, 0xc1fc2360, 0xd34badae, 0xfe59fd0e, 0x972c1c94, 0x6d812699,
+    0xb7079f8f, 0x92231da9, 0xbad91c3b, 0x974b704e, 0x4a4b760b, 0x03f26435, 0x474d6c0c, 0x8f3f5916,
+    0x7d0f8e97, 0xc5f0c52e, 0x7ded5d3a, 0xcf684928, 0x1b5af458, 0x36814043, 0x899d6c4f, 0x4a6d0f0f,
+    0xadcfe248, 0x7d8f4a95, 0x80677590, 0x2dfdb4b1, 0x7551d757, 0xe97867d2, 0x73536f8b, 0xf1379cff,
+    0x43c28259, 0xe2b33346, 0x65e5e36c, 0x10d4160d, 0x0fb52116, 0xc1e2e424, 0x92fa3ae8, 0x3812f3d4,
+    0xd5ab108f, 0x3f032ee7, 0x7f8626c7, 0x279dc984, 0x0df3d9f6, 0x880636cf, 0x178312a0, 0x521ee2fe,
+    0x0beb52dd, 0xb9d34683, 0x6d08f288, 0xd8cd5610, 0x352cc3c4, 0x265f5732, 0xad59b897, 0xadb3e1ca,
+    0x4c723a4c, 0x51fcb672, 0x926045d2, 0x8fe7dc38, 0x51a88351, 0xffa75a8e, 0xcbd8dc2f, 0x69a8812c,
+    0xe2e55b2f, 0x69858596, 0x9b4debd1, 0x935fe70a, 0xcb4643e3, 0x8d399418, 0xa9707596, 0xf0d5fde7,
+    0x7cde8eaa, 0x2f99ba7e, 0x327d5e18, 0xd93c2697, 0xd0265baf, 0xf90bf3b4, 0xa7724958, 0x011f5389,
+    0xe8398670, 0x722d3c8c, 0xa3262f9b, 0x29ce5eb1, 0x6a0dbeec, 0xb4f6c3f5, 0xb3d757b2, 0xf8fddd58,
+    0xdaa5562c, 0x22de7e24, 0xbf050631, 0x223cce21, 0x53dcb863, 0x82226d76, 0x90499797, 0x5be4272a,
+    0xbc063f35, 0x99f9bd19, 0xfe1dc430, 0xdb8c096f, 0x3f926be7, 0xb8026a8d, 0x28c36f94, 0xc8529fce,
+    0x6d8730d5, 0xab091415, 0x8f69dc78, 0x51445457, 0xc1d28eb2, 0x584308a5, 0xe99592ec, 0x58992765,
+    0xb8b10d42, 0x8cf497f5, 0x64af4485, 0x0e3741c8, 0x7dc3b24f, 0x57ca473d, 0x011fbafc, 0xba821440,
+    0xa4147365, 0x013af59a, 0xc2122ae7, 0x8367a602, 0xa2b1d002, 0x6d132489, 0xc2db02e1, 0xa244cf6f,
+    0xf76e007d, 0xf9d90985, 0xf9cd1720, 0xff0c019b, 0x701277fa, 0x6c447a2e, 0xf05f6551, 0x250e3a63,
+    0x490b480a, 0x13f8af15, 0xcc4f5deb, 0x7fc6e8ed, 0x5623b806, 0xbfb65455, 0x0f9d1871, 0x3fa22630,
+    0x7e253c17, 0xa4c7c975, 0x230b595f, 0x09770f2c, 0x3ec9d989, 0xa6aba34b, 0xef064a95, 0x9b88ce98,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000332306998946228968225951765070086144 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a04, 0x80592811,
+    0x00000000,
+    0xa32203c4, 0x596a1902, 0xa5f14f62, 0x53a6bcab, 0x4d2d782b, 0x9d472d27, 0xc45f76d7, 0x63896bce,
+    0x876ef14c, 0x77596b5e, 0xd2aec25b, 0xcd734528, 0x85d0ee5d, 0xf8792b3c, 0xa4df7c3c, 0x36ae376e,
+    0xd53ad9f5, 0x11878fae, 0x6602a54e, 0x4691cbe3, 0x120e1b8e, 0x6642e4c9, 0xa32a44a4, 0x642d5a2a,
+    0x9938a93f, 0x8036182c, 0x11cc0773, 0x66c7016a, 0xf0623ee3, 0x6758541d, 0xa61428f8, 0x2cf3a3fa,
+    0xa7a22991, 0xbb2fdf26, 0x179aa63b, 0x857214ca, 0xac557ebb, 0x8df43d74, 0x4084878d, 0x7bdb5acd,
+    0xeb5eca43, 0x876b1931, 0xa8a28469, 0xf8c88fe3, 0xebe0eb5a, 0x11a563ff, 0x16ed894f, 0x1edc76ab,
+    0x345e8b5e, 0x1c065a58, 0xa9671957, 0x32185f2d, 0x286efdae, 0xd7f1fdcd, 0x79b369b8, 0x719bc0bb,
+    0x4c03b61f, 0x4772f892, 0x57e15f7e, 0x8a80e5a9, 0x2482dd02, 0xbb66f1fa, 0xfe96ab34, 0x76c58319,
+    0xd63304e5, 0x4d05ccea, 0xe5a92598, 0xf2b57a8a, 0xc1a19882, 0xcbbfcea2, 0x59a676a8, 0x741a707c,
+    0xab301ce7, 0x44973235, 0x3ac2c364, 0x5ee5b5d6, 0xc8fd2b41, 0x466176cc, 0x56de0071, 0xf50dcd07,
+    0xfb80f029, 0xf3d5e067, 0xdfec9e1d, 0xc11c0c89, 0x8a40bccf, 0xb380e95a, 0xaa67683d, 0x42727bfd,
+    0xc14ef046, 0xde419f22, 0x2af48922, 0x9a0b8a00, 0xc592f93b, 0x29f6e461, 0x9293fef4, 0xbbb2ecb8,
+    0x71d476bd, 0x9d7fc81e, 0x09f81548, 0xccc2663d, 0x23a8c98b, 0x1f30120e, 0x659ccec6, 0x8d43b59d,
+    0x1ca6c217, 0xe9d228f8, 0xc1ea235b, 0xadedb9c7, 0xe74f5f82, 0x55e3bc6f, 0x60cddcb9, 0x11605217,
+    0x3ca56b96, 0xc010ff3a, 0xb1802a97, 0x219a08ca, 0x91e3ef16, 0x89d833d9, 0x2de04c62, 0xc10712ab,
+    0xfbf618a1, 0x15522969, 0xa4a20e40, 0x1ae252c9, 0x22f7bb86, 0x91e5b566, 0xee065a5d, 0xa8132b50,
+    0xe27d99ec, 0xb15e86e3, 0x449ff54b, 0x7364a073, 0x53a213a0, 0xb4aabdf1, 0x11a56176, 0x0679db53,
+    0x93ad1571, 0x50c12f67, 0x779b095f, 0xa85a3605, 0x519b6309, 0x6cca6c83, 0x2001f289, 0xd81a9145,
+    0xb3c969af, 0x47a24935, 0x1447cc0c, 0xd76d847f, 0x5a3b2b71, 0x7eda69ef, 0x9edd5031, 0xbeea2e10,
+    0x8d7e44f6, 0xdd6c30aa, 0xd44b5b88, 0xca4ffcb4, 0x797db57d, 0xa8216e22, 0xa2a34505, 0xc485c95f,
+    0x3823f800, 0x358eb79e, 0x897e9562, 0xb7732add, 0x3f2921fc, 0x32e0e35b, 0x747ff06f, 0xb36eb125,
+    0x9f35aca8, 0x559493b3, 0x44d095a6, 0x3033a06d, 0xdb29b394, 0x1790bc32, 0x8e560068, 0x52d779f5,
+    0xbc6e2d93, 0xe258d5c8, 0x9eea9a2b, 0x766b9775, 0xc80c8e0f, 0x0879becb, 0x0952732c, 0x332a825c,
+    0x509ba178, 0x70a1b60b, 0x8362151e, 0xe99d6125, 0x93289c06, 0xdf936d61, 0x43beae99, 0x1b33338c,
+    0xab16583e, 0xcd5f3b6d, 0xf7a9cd52, 0x4eb54447, 0x90458a0d, 0xa18ff300, 0xc94a7741, 0xc2845276,
+    0x1aaf38aa, 0xc11d4bf1, 0xac1db252, 0x1d9b5b71, 0x3a129840, 0x0209531f, 0x0e8652b3, 0x1aafb112,
+    0x66f86fa6, 0x07122a49, 0xf9aa92eb, 0x4d469bfd, 0x27cc3808, 0x65c5f8c3, 0x9e7f6b5e, 0xc60635ab,
+    0x35265a2c, 0x6fc4d02c, 0x0552ae48, 0x11f5610e, 0xb6534472, 0x2c6a017c, 0x673f0d31, 0xc3923514,
+    0xf2e337cd, 0x27bdd82e, 0xc7db2acf, 0xb5a7f331, 0x89cfa938, 0x137555d4, 0x9d741955, 0x007e0527,
+    0xa8ab426c, 0x5a2f4605, 0x6e213525, 0x4b017617, 0x3a2da43c, 0x8c50b26d, 0xa8844714, 0x9526a31e,
+    0x35933510, 0x42e85d5e, 0x0d592aeb, 0x8ca429e2, 0xe1b7a139, 0xadd833a7, 0x3d9e6656, 0xf73b5ccd,
+    0x7e2ca9f9, 0x67444c90, 0x2713073b, 0x2da79147, 0xa6d456bd, 0xfa6d5238, 0x062185dd, 0x3b8ee565,
+    0x55a56e43, 0xd065ce01, 0xdc326c07, 0x42cae41f, 0x2f3bd48b, 0x3ff6a5b3, 0x028a168e, 0x8dfa916c,
+    0xaaab821f, 0x77b48ca7, 0x8de99ece, 0x47b69299, 0x25526760, 0x6457cae1, 0xff539847, 0x3297e74e,
+    0xc006919a, 0x24dd0afd, 0xf4b7fffa, 0xfd96eca5, 0xb486713f, 0x1175ffe8, 0x98631236, 0x52cd7efb,
+    0x80b32f93, 0xa672d353, 0xe61810e2, 0x803fc1ff, 0x3f1d4ecb, 0x50917308, 0x97578377, 0xaef8910e,
+    0x83ca440e, 0xd5605433, 0x40a853bc, 0xb14f72c4, 0x4b6f7421, 0x1962b40c, 0x4998fca0, 0x455a78c3,
+    0xba15fe57, 0xa9ccd8c7, 0xfae5635b, 0xcd5918e2, 0xccb2625a, 0xe1978897, 0x28b690ad, 0xc3df17ae,
+    0x7580e14a, 0xf8464f6c, 0xfea1a1f3, 0x1409707c, 0xc3a6a082, 0x0123135b, 0xd76958a9, 0x9adbe90c,
+    0x4d85fd3d, 0xbf4b7f4d, 0x7f62229f, 0x88d1b876, 0x00046c76, 0x96e4e49c, 0x9c6c1b42, 0xb39711e1,
+    0xd84c55eb, 0x9e504f12, 0xb080d20b, 0xff4f2864, 0x48ae2a87, 0x52fb4441, 0x8b1a4acd, 0x76e64655,
+    0xae11f340, 0x4598c3a8, 0xce35b257, 0xf8008f2e, 0x29f9aba9, 0xdf7943ca, 0xef1c8e7e, 0x232fe4ff,
+    0x1c33a257, 0x17f5c0a8, 0xcbda6e35, 0x4fcebd7f, 0x69234ca3, 0xf26a8c6c, 0x6e7a0edc, 0x2d10723c,
+    0x8e4af9f3, 0x1c70b4f0, 0x6d4d5aeb, 0x5dd3930d, 0x4618be72, 0xe15a0dd4, 0x462b4817, 0x17643a1a,
+    0xaaa5d86c, 0xd792d9a0, 0x28c07033, 0xe96f2aaa, 0xcfe7a41e, 0xa4528f1d, 0x8d2a0524, 0x76a1bc05,
+    0xf58f2e3d, 0xd7698fc1, 0x3bf3b863, 0x1e0462e3, 0x73ff78bf, 0xe87f2d9e, 0x04dff613, 0x9f3938e6,
+    0x1f81598d, 0x9119926c, 0xf69891e5, 0xb160d2be, 0x59af2a97, 0x625f51d4, 0x0fef7852, 0x9d973353,
+    0x689dd3e5, 0xced143d4, 0x8421dd6c, 0xf86a33a3, 0x154c62dd, 0xd16d2769, 0xe4172287, 0xee5353c8,
+    0x7afad8f3, 0x643e69f4, 0xed2703b3, 0xca99f0f5, 0xb5d704bc, 0xa7728eac, 0x048edfb3, 0xa2cddda7,
+    0xae75f536, 0x613b1461, 0x1b161bc5, 0xec38c465, 0x3404dbd7, 0x7cbf812d, 0xa28eb9cc, 0xd5e4250d,
+    0xf51d9942, 0x3987346a, 0x6bc8ebbd, 0xcef67b34, 0x6d116046, 0x9bbb23c7, 0x6206b0a0, 0xc6f8c132,
+    0xa0ad7349, 0x14e3903c, 0xb6bb35be, 0x2770c2fe, 0xb77987c2, 0x58fc971d, 0xbd035d7a, 0x647e5b53,
+    0xb5080503, 0xedfc846e, 0x3a200595, 0x36f19d83, 0x85962092, 0x632bdc6d, 0xbb63c59d, 0xcf71bff7,
+    0x1993aa37, 0x2f6848f1, 0x0a7d9b45, 0xccef700f, 0x0c25a503, 0xf5ebcc1c, 0x4902ebf9, 0x7880283d,
+    0xa4eac59e, 0x2dd8e323, 0x7df5b693, 0x05076080, 0x1f3e80de, 0x142f5392, 0xa7454bfd, 0x44d3e11a,
+    0x3a0a3952, 0x91d3b012, 0xc5331093, 0xcb0b10cc, 0x684944d6, 0x3e195ff4, 0xf9b5284b, 0xec223fd0,
+    0x68bd63f4, 0x36bba95b, 0xde02550b, 0xb4d97ebb, 0xfe2d1bbd, 0xe7f98ad9, 0xd622042f, 0xfd33afa2,
+    0x56d439cb, 0x44852066, 0xc20f80e6, 0xe0d439d1, 0x80e90930, 0x7a24f650, 0x97b1b5df, 0x3a9e7069,
+    0x2a61ab9f, 0x7184a619, 0x558de1e0, 0x4e515eae, 0x5fc939da, 0xda0153c4, 0x03281a71, 0x6387e967,
+    0x79c827b3, 0xf1768e1d, 0x247c3f1c, 0x74a90800, 0x6408719a, 0x70b5dff3, 0xd88b5883, 0x7e14844c,
+    0xa6cd2f66, 0x560b4aad, 0x145f4702, 0xd6c78b10, 0xed8a6250, 0x7d796dba, 0xd3421d4b, 0x350fe265,
+    0x7b00431f, 0x9f94d254, 0x7efb243c, 0x3d026864, 0x102144de, 0xde334bf7, 0x26921692, 0x80624319,
+    0x5e405920, 0x0471ae83, 0x18f18ccf, 0xc4a43564, 0x5d0f39ad, 0xba03c668, 0x57c6304a, 0xcb8855a3,
+    0x873051d2, 0x4c986d9f, 0xea3e42f3, 0x214e9746, 0x8ba4aadc, 0x997984f1, 0xa1509976, 0xf6d1d8a1,
+    0x7998bc57, 0xd38e9a51, 0x19de5834, 0xffcb5791, 0xe711e7b4, 0x1de3dc84, 0x268bd6ce, 0x1ada45f1,
+    0xc21f27f1, 0x33ea5a44, 0xa0f96457, 0xbd944536, 0xa9ffce17, 0xa28f5d87, 0x9944d6b1, 0x62331bac,
+    0x1c51c794, 0xdd45f4b3, 0x4459000e, 0xf64b24d8, 0x38d1f3a1, 0xc8f39816, 0x9326e070, 0x65014773,
+    0x369c65ed, 0x7795292c, 0x1bca19a2, 0x9832a77b, 0xea883b88, 0x5c65b552, 0xb094cd46, 0x6c768586,
+    0x35dcf470, 0x87c33f83, 0x971692cb, 0xac255336, 0xbaee4188, 0x2f8d2be7, 0x986a20a9, 0x5a57f87d,
+    0xac4d267f, 0x5e875d74, 0xbb38945d, 0xc45b3a0b, 0x666e9f7e, 0x39611c7a, 0xe19a4ef9, 0x465ca8fe,
+    0xf51fcfa7, 0x8187f159, 0xbdaaf134, 0xa0a6e34e, 0x5957d752, 0xdb8091fd, 0xc48dff6a, 0xf599f6d7,
+    0x5f0f371d, 0x3a0e773b, 0x42b22521, 0x5141b339, 0xa02132fd, 0x26c80550, 0x94295326, 0x3af342cc,
+    0xff4ea6f5, 0x1796f1da, 0x405f35e5, 0x95d19784, 0x8b68c1b2, 0x851a72db, 0x1bac3df2, 0x46403c5e,
+    0x3efb82f2, 0x54c24f63, 0x77ac9072, 0x543eef16, 0xa41d203f, 0x78df6e3c, 0x70d713b7, 0x1f08a3b6,
+    0x1e63d027, 0xbe4c8e66, 0x929d6f05, 0x5fc2a447, 0xef6c6c20, 0xc78e1489, 0xc08d52fa, 0xd25ce562,
+    0x9555672b, 0xa796fddd, 0x6cf8dd7c, 0x5d77a12c, 0xe23af11d, 0xa6d9be24, 0x30c1bb8d, 0xde7611b5,
+    0xc0e16ffa, 0x934ae5de, 0x8675e397, 0x52260d5c, 0x647f51b3, 0x5cace004, 0xb35de156, 0xfea3141c,
+    0x8cb6a74a, 0x36db316a, 0x1fc9e56d, 0x23572b7d, 0x5db05434, 0x2be0f237, 0x94c0581d, 0xbfee0a89,
+    0xc3640aa9, 0xc78e9054, 0x13b726a4, 0x64821fce, 0x6e2df209, 0x184833ce, 0x9ddd04e4, 0x2f301c3a,
+    0x35a15f87, 0x183b0499, 0x17d2b0d8, 0xb16120b5, 0x0b5eec48, 0x48a324df, 0xee079310, 0xb41e0b37,
+    0xed4a254c, 0x2a0672e4, 0xab1a8456, 0x79778f37, 0xe2cb6fc7, 0xd97d11d6, 0xb620b75c, 0x723cdbd3,
+    0x0af1d30b, 0x2195e3c9, 0x37b5ef78, 0x889ccba9, 0x7faaf9d4, 0x73e797f4, 0xda546e8d, 0xf7a38de0,
+    0x4de112ba, 0x11654104, 0x97821f39, 0x668bdddb, 0x07f7f4bf, 0xcd082283, 0x775f29ad, 0x639fc7bd,
+    0xa4edb047, 0x41f4cc67, 0x797a5517, 0x5911e033, 0x03a54d73, 0xae6c9c4f, 0x4bb9fd1a, 0x40c360c0,
+    0x9cb58497, 0x622d7ec6, 0x57344d26, 0x8fab9054, 0x13e905f7, 0x9038d9a8, 0xb6eb00cd, 0x892b71bf,
+    0x1f207940, 0xdfc99fb1, 0x653099c4, 0x14da951b, 0x87b71042, 0x3ea2a140, 0x5d2ce32d, 0x181f7e01,
+    0x401c8b14, 0x0e888a5a, 0x9f970cbb, 0x8a2f6fae, 0xaf049489, 0x7f401072, 0x75dedd98, 0x974a6215,
+    0x235d55b7, 0x5045b062, 0xef320adf, 0xbc3f55da, 0xcd1d87b1, 0xd27e3263, 0xab06c152, 0x6d4ffdaa,
+    0xe1dd02af, 0x1586d033, 0x8f1d32ab, 0x0eccd070, 0xc1718c64, 0xba23a233, 0x43c65f5e, 0xb6d78e3c,
+    0xcd0c2b44, 0xa97e3c30, 0xa69261e6, 0x97a706c1, 0x4bc8008c, 0xd07cbe54, 0xd6bd7dff, 0xb5f3148a,
+    0xb198a045, 0xe0f4ea79, 0xdf9130c0, 0x50c63332, 0x1405b9c8, 0xa7676407, 0x11573107, 0xb11cbab4,
+    0xba8d99a0, 0x07409d3e, 0xa7b2316d, 0xfd5da575, 0x106190ed, 0xef7a96d6, 0x04f181a5, 0xb8754255,
+    0x857aa10a, 0xda2d7d3f, 0x82868013, 0xafc6febb, 0xf8aa42a0, 0xdaa1734e, 0xa7c13aa6, 0xd93eb0ea,
+    0xbc7ace11, 0xedb9c8e8, 0xeb551073, 0xa662fe05, 0x6dbbcecb, 0x922e95ca, 0xc04a4784, 0x53388ca0,
+    0xcd84fb56, 0x7bf9b24b, 0x231cc9ee, 0x84df43a9, 0x5449a04e, 0x187974b3, 0xd46cbc51, 0xdab98ac6,
+    0xb8b01055, 0x385fc154, 0xd30d176b, 0xfa0d4560, 0x26486608, 0xa92df128, 0xcd346834, 0xfe368239,
+    0x5868bc80, 0x02d95846, 0x56c9e32e, 0x001bfab8, 0xedeca564, 0xf91de618, 0x16bb0c5c, 0xf71d39b7,
+    0x2a39ca0b, 0xcd7f3478, 0x7b3ac287, 0x273968e9, 0x2784845a, 0x37abde85, 0x4326698b, 0xb762d0c9,
+    0x364ebabc, 0xe0c3afe8, 0xc6090a5f, 0x2a6ae810, 0xd290f7ff, 0x3daf86f8, 0x05ef5125, 0xc54ed7b6,
+    0xcdcd6653, 0xe2d0f590, 0xd51dc7fc, 0x17d11ab9, 0x15ffee82, 0xeced7657, 0xe4cf0ca0, 0xd43ef80d,
+    0x3b263686, 0x16f9616d, 0xbf259895, 0x6caa4b5f, 0x4bd7b9ea, 0xf6ef6114, 0x113b1831, 0x636e490f,
+    0x93780ccc, 0x3949d2ee, 0x70a581bf, 0xdecfce84, 0x5528c990, 0x0e5df667, 0x7a0cfddf, 0xec8c4c9a,
+    0x9fbac95b, 0x271aef30, 0x338fce3c, 0x6b9d2d9b, 0x070350be, 0x0d4a93e5, 0x5b301ce3, 0xc553ff15,
+    0xc9c86a52, 0x810f17b1, 0x181288db, 0xf25121eb, 0xfc76004b, 0x89f51bfb, 0x808949e9, 0x7873539d,
+    0x43382707, 0xaea62301, 0xf33fae81, 0xd7f7430f, 0x29669809, 0x6dc9cdd1, 0x5b960634, 0xb4a56988,
+    0x556c1337, 0x37a7bb24, 0x114e484e, 0x205efeb7, 0xab66c218, 0xbbd71677, 0x9730dad1, 0x3d2ecbd7,
+    0x1174a717, 0x70685ed9, 0x8321c87e, 0xe478924b, 0x7dc00f18, 0x6f33eec6, 0x73498785, 0xe051451e,
+    0x20597ef1, 0x0fcf074f, 0xeed90d61, 0x84fd2524, 0x54d355ab, 0x6cd7f158, 0xcc8bffa3, 0x5cd902bd,
+    0x47d33ca2, 0x6d9f28ef, 0x20bada13, 0xb7fdf554, 0x0fe5dd44, 0x8a01de42, 0x93694876, 0x1001ad3d,
+    0x4d7d7bb3, 0xad4333c9, 0x8e8bda9f, 0xfb8e09b0, 0x02059c5f, 0x231c1057, 0x6f03bd51, 0x74f3b9a5,
+    0x7158df7d, 0xa36a53c2, 0x1816e3ca, 0x912bf64e, 0x70d3acc0, 0xa08b203a, 0xd108fc68, 0xfd6a1f7e,
+    0xaa053946, 0x7ea27d3d, 0xf021c8fb, 0xafa03446, 0xb32a3386, 0x145cabcf, 0xae715ccd, 0x00d859c1,
+    0x0dc8d3dc, 0xec97fce0, 0xfb136333, 0xa90dd0cb, 0x21ade1c5, 0xe208834a, 0xaea31836, 0x1bee7704,
+    0x54aa0add, 0xeb08ba06, 0x9c39448f, 0xbf22a4be, 0x12995292, 0xb58844a4, 0x04fb58ba, 0x0572659b,
+    0x33417665, 0xcb59200f, 0xa88482c8, 0xa67d4ba7, 0x73032249, 0xa7c634ba, 0x6028640c, 0x67d1883d,
+    0x6767ca97, 0xa7a54061, 0x7e20df0e, 0x551a858e, 0x61e780ab, 0x7c433c49, 0x5c768e3b, 0x44697c89,
+    0xa9eaf21a, 0xe7f09609, 0x5af997ca, 0xecbd8e90, 0xf559be37, 0x4cd342bf, 0xd16d2063, 0x8c54f064,
+    0xf0917626, 0x9319cfc0, 0x212fac27, 0xfd47235c, 0xfd30da44, 0xc469fc33, 0x18023eb6, 0x306412ed,
+    0xb730f55c, 0x92d73004, 0xfbea82f1, 0x644d1dab, 0xc5438956, 0x3a8f073d, 0x90a5b7bf, 0x752ca10f,
+    0x0c716a3b, 0x09847167, 0x7becae72, 0x48c6be76, 0xee03e04c, 0x674acaa4, 0xbdb75b4f, 0xb7d8f7ec,
+    0x92bb0dfd, 0x22347503, 0xe08413a8, 0x3ccd61b9, 0xd66a53a9, 0xf668cacc, 0x63c4b07f, 0x679ed1fe,
+    0x7d5c1b1b, 0xa2646a1a, 0xd9143b1d, 0xc9e77b06, 0x55cb3a3d, 0x1c6b6b14, 0xf42a3ce8, 0x2a4c2b27,
+    0x15e50205, 0xf8a8e36c, 0x55caf742, 0x38734343, 0x8d11ff47, 0x7c1b1dd3, 0x5813caf3, 0x0a7f0515,
+    0x27df6a2e, 0x9cfcc395, 0x6649926d, 0x6892ebca, 0xcac7d686, 0xe008a6b4, 0x0c97e7ef, 0x1fd5917b,
+    0x026f980c, 0x646c184f, 0xcbe3ce77, 0xde4e5ac3, 0x2cac5df5, 0x4e12ad4f, 0x5bab689e, 0xf64d0857,
+    0xccf2799f, 0xd764faa0, 0xfd5d137c, 0xa9c852f2, 0xc7d2a8b5, 0xb1634d9c, 0xc3b3130e, 0xdbbc3434,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000166153499473114484112975882535043072 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db502, 0x402c9408,
+    0x00000000,
+    0x9080abbe, 0x34b265ad, 0x61dd93e5, 0x543b6d6d, 0x13e7e761, 0x3941548c, 0xaffce14d, 0xa5013c7c,
+    0x7136122e, 0xa981bb86, 0xfc0d73b8, 0xd232c988, 0x00ad8224, 0xaa1c9986, 0xf25d7b68, 0xb028de74,
+    0x47ad795d, 0x499e39bc, 0x5f0107e4, 0xea22b51d, 0x9c256df5, 0x698909f0, 0xaaa393e3, 0xc927e646,
+    0x8cd9b51e, 0xaf3c2d14, 0x812a1cd4, 0x4d519395, 0xbfc59561, 0xdf74b0ef, 0xc5ceb96c, 0xc9981557,
+    0x85e76ed1, 0xdd5f6017, 0xfd9fc4b1, 0xf7484611, 0x4144e0b7, 0x5bb4d27b, 0x88d05394, 0x18fd3b80,
+    0x89a74a88, 0xdbab0b15, 0xcba2009a, 0xb204fd9f, 0x89be6433, 0x6b5bcf88, 0x69b326f8, 0x1eba76b3,
+    0xfe32c52a, 0xdb781621, 0x94455e76, 0x259a0eb7, 0xf8cb3b13, 0x0c991bf9, 0x694883bd, 0x2942d530,
+    0x02741cbf, 0xfc52eedd, 0xdbc13c36, 0x36e0128f, 0xab294a3a, 0xeb2571f3, 0x3a0d5d22, 0xd71b32f4,
+    0x76e9f964, 0x611a23ea, 0xe1bff752, 0x825bb044, 0x27c0663f, 0xcd87971e, 0xa6533129, 0x411e8096,
+    0x03f1313e, 0x6de8ea19, 0xda8b74d3, 0x5dbd5f2f, 0xb9bf92ca, 0xeb3e35bf, 0x7736fb6d, 0x57c3013a,
+    0xaf7d2066, 0x23d4ef3e, 0xd183eb65, 0x707d584f, 0x4ea13e6f, 0x3a1d5c47, 0x05b531ba, 0x5e37579e,
+    0x5df448ee, 0xcda3f727, 0x12685ae8, 0xca10b75d, 0xbbc2acec, 0xfb3d8687, 0x253574cf, 0x804b382a,
+    0x9c1ebfa9, 0xc5fa87da, 0x3de809b4, 0xbb1b21bb, 0x6e5f1312, 0x34d61bf1, 0x7f4f9182, 0x533146d8,
+    0xc5404a2e, 0xdcfaac67, 0x3e661835, 0x8ed5484b, 0x3a7cab93, 0x6b5b5dbc, 0xbc769111, 0x09fede3a,
+    0x7586734a, 0x3b898936, 0xa112d2b7, 0x6339656d, 0xcb02827a, 0xc9ba8ffd, 0x6496526b, 0xdd2e3636,
+    0x056eb462, 0x63048991, 0xeb69ac6e, 0xe9c8a91b, 0xf72cf496, 0x17c3104a, 0x5b54bd02, 0x0aeb7b8c,
+    0x50e0125f, 0xa5e3f198, 0xbd3adc3f, 0xaf09228a, 0x6816186b, 0x0a4277e8, 0xe9e87c35, 0xcda7c5af,
+    0x263661f3, 0x29b9b4fb, 0x17aa9479, 0xf26cf953, 0x86177833, 0x0dbb020c, 0x86ddb7ec, 0xc779b0d5,
+    0x12ea4cf7, 0x1b24e9a2, 0xc12b4dc5, 0x1b08c18c, 0xa2b2b0c1, 0x60610194, 0xf07ea8b9, 0xc411050d,
+    0x79a6fcec, 0x86e1609b, 0x8277af37, 0x70bb04d7, 0xffc7188e, 0x03b97d78, 0x51fb0c70, 0xa16c2158,
+    0x52a8b892, 0xea9d7799, 0x18e05a0a, 0x129f3494, 0xfc4c4b99, 0x1cc9d560, 0x20e541d3, 0x312f0c7a,
+    0xbe9a4be4, 0x13cec0a5, 0x0aae716a, 0xa102ce11, 0xd8f8aefd, 0x07d952d4, 0xbc114901, 0x9103ffeb,
+    0x26aff3c7, 0xc72c90b3, 0xab1565de, 0xebe6ab78, 0x59b37f9e, 0xe56dee13, 0x47153bc5, 0x2ad7458b,
+    0x7989983f, 0x1391d487, 0x8e3409a4, 0x9484b2f4, 0x67655e1f, 0x868efa2a, 0x8efda1ba, 0x1e02ff9d,
+    0x4b0a4077, 0x3f775176, 0x1d8ae9c5, 0x5307a1ab, 0xa0cd2e98, 0x059a7450, 0xcfe6ec15, 0x5ccffbef,
+    0x4eebd6e3, 0x87913598, 0x1d829add, 0xfc7d3c20, 0x58f8efe3, 0xaf586a21, 0x1978b3dd, 0xae429a95,
+    0xc32f31f1, 0x7d0d7fdb, 0xb9c44042, 0x750af51b, 0x47ffb1f5, 0x491335e1, 0x4eabcd99, 0x2dd96424,
+    0xb1028276, 0x1653f3ff, 0xda1ec7dd, 0xf40782f2, 0x2c8ba214, 0x05c17870, 0x9c6edd33, 0xffc3a751,
+    0x6d5f52d9, 0xb6950548, 0x7b2ae628, 0xcd471a17, 0xc4302da9, 0x40ae136d, 0x396b065e, 0x1e85014c,
+    0x8a2775ce, 0x03e9ef5e, 0xaa759a99, 0x77136126, 0x43ae214e, 0x4334ee25, 0xfb8fcd02, 0xcf33ebe1,
+    0xc93779d1, 0xac0abf40, 0x44653320, 0xb1e6892a, 0x5dc2b6bc, 0x76ec92bf, 0xb79072ef, 0xcd8bbf44,
+    0x02f5cc97, 0xd6cfa851, 0x922f0723, 0x04b65175, 0xaec5580a, 0x0d809a8a, 0x7eea0aab, 0x94ebf045,
+    0xfa68aa24, 0x3d1201fb, 0x8f17001c, 0xfec173fc, 0x34b57bea, 0x4c7adff5, 0xd34d3c1f, 0xee5d8e14,
+    0x10f36dfd, 0x7d29ce71, 0x1d8ce365, 0x5f967f5e, 0x4ef748c6, 0xd236dbb9, 0x7cb64f07, 0xeab23501,
+    0xde6a245a, 0x87a2aabb, 0x21756aa8, 0x6b84be55, 0xf2a82046, 0x94cc3e3c, 0x5611971e, 0xa9d0c167,
+    0x57dfe29e, 0xcb31851a, 0x93bd0bde, 0xb14e3c3f, 0xe2fcedb7, 0xc2e2634b, 0x91f04117, 0x80f7b48c,
+    0x112f3908, 0x85c70831, 0xfba0ff7b, 0xf33f7774, 0xcd478e33, 0xd5487819, 0x5c395c9d, 0xf816b6a2,
+    0x7adf16a2, 0xd006b4b2, 0x5c9690af, 0xe89384b4, 0xf78cb641, 0x88466fae, 0xc82e4d45, 0x69132944,
+    0x51b52031, 0xa307380c, 0x4a6ac72e, 0x218f0536, 0x49f677f0, 0xe51ecf5b, 0x995833bf, 0x33f16a6a,
+    0xe6f01f3d, 0x89da1935, 0xc90e0d71, 0xf339166f, 0x83eeb3a3, 0xda3dc6ce, 0x0d72b056, 0xc6e33738,
+    0x2bee75fc, 0x6dbde2f9, 0xe731d334, 0xb76250d1, 0xe7dd90fc, 0xdbd1f797, 0x5d205208, 0xd7d8b162,
+    0xbedf0b73, 0xb431ef08, 0x7956b94b, 0x16b59595, 0xd09b2207, 0x1f4be9b6, 0x0bf9d793, 0xd6bdcbad,
+    0xb10ba518, 0xa05f2af5, 0x31be07de, 0x8acc6845, 0xcaeba17e, 0x021bd8c1, 0x1fb83063, 0xd4387226,
+    0xb8f67383, 0xf08b484e, 0xb778271b, 0x5be6849d, 0x3d662d4f, 0x72e67263, 0x2d6a357f, 0x7693e411,
+    0x397534a4, 0x8317f40f, 0xf2e9c424, 0x05fa7707, 0x4efbd063, 0xc71efb31, 0x0df56ec3, 0x493193c3,
+    0xb0360501, 0x62b817d5, 0xdd63d416, 0x35819cac, 0xe313b914, 0x7f67d5e6, 0xc6c6490f, 0x71039a1b,
+    0x78541125, 0xb22d6e6c, 0xf0778fb5, 0xd12e4def, 0x83abe1a3, 0x7fe621d9, 0xfd505271, 0xaa32804c,
+    0x70863b9a, 0xd05e90da, 0xbe786e4a, 0xf6b100c1, 0x2d6f1b0f, 0xb8e684ab, 0x470e7698, 0x234b461b,
+    0xb56bad5d, 0x40156ff0, 0xb49d653d, 0x4bee85c9, 0x09e6daf4, 0xb7d18e0a, 0x0a541a1b, 0x73a4157b,
+    0xbe31bd88, 0xc5345de3, 0x24630f67, 0x0fe9df3f, 0xe4be0475, 0xe8c567ca, 0x50335462, 0xa0df533e,
+    0xb3ca21f7, 0xfcce90e1, 0xe55769ad, 0xc8087d8e, 0x6664fb4f, 0x12121b52, 0x4307945b, 0x2b913b50,
+    0xff38ff70, 0x06efdd46, 0x24b070a3, 0xbcd6719c, 0xf8b182a6, 0x8ca1e64f, 0xabdb8b40, 0xde5a38bd,
+    0x51cb9921, 0x02a2c931, 0x3c4f9028, 0x76621863, 0x7e3e967f, 0x313b6bcf, 0x2ecc5731, 0xb8957663,
+    0xcab26059, 0x0a1bdac0, 0xee1e3828, 0x200a1e65, 0x5dbd5894, 0xb8f29a52, 0x129b98c0, 0x7dc29828,
+    0xf7beeae0, 0xe87be7fc, 0x3c65ab60, 0x0cfb9c31, 0xbb9fc2d6, 0x5db1fcbe, 0x9b8da63d, 0x245a2d86,
+    0x6d981543, 0xcda476de, 0xac33f99f, 0x8bd38f43, 0xd03fb317, 0x2113cb1a, 0xf9a5ee62, 0x501ffa7f,
+    0xe02aadf1, 0xa32e5d13, 0xe2bb8295, 0x3ede87c6, 0x1e872ac7, 0x23bd9895, 0x5f75bcf6, 0x1c511180,
+    0xca01f378, 0x8cde12e6, 0x6d78e5f5, 0x8b8f0710, 0xe56ee114, 0xa4b0eaa8, 0xa8a1a442, 0x42dc6152,
+    0x3a376b8c, 0xf920b4f6, 0xa48b886e, 0xb18232e6, 0xc56a1b4a, 0x9fb0ea6a, 0x1b28b6f7, 0x91acc2f1,
+    0xd0aef213, 0x6332c297, 0x4dc016d7, 0x37bc6417, 0x853d90c0, 0x05cc7d62, 0xfd16cc42, 0xc55c649f,
+    0xd78c8a08, 0x36e631ba, 0x04a19f8c, 0x60fb44cb, 0x892599ad, 0xa6d77e31, 0xd5b17845, 0x2e36d3a8,
+    0xd6e3f6ec, 0x4f83bd1e, 0x5da5b0cc, 0x3d45c51f, 0x9ea41f52, 0xb8e3e58e, 0x25df978a, 0x7584aa29,
+    0x7a3805db, 0xbb165406, 0xe0b10a16, 0x7517dac7, 0xa1836330, 0x460b50bb, 0x8e9915cf, 0x2719b840,
+    0xa53801f8, 0xf598f3c6, 0xff636eca, 0x5de99096, 0x07a12353, 0x7b72e9b6, 0x93311a19, 0xbaeb64d3,
+    0x6b996be1, 0x5b9246e9, 0xc9898bc9, 0x423f88e4, 0x9bb2de82, 0xc3a2d713, 0x842e6bda, 0xf03b8a7d,
+    0x58ca0451, 0x4d0e21c0, 0x97e63e50, 0xd14f99f0, 0x769028ca, 0x8f161610, 0xd655e034, 0xfffc5db9,
+    0x360f5d12, 0xc1db205a, 0x23660bb8, 0xc5da080f, 0x3709177b, 0x4a3e24d5, 0x747cecc7, 0x2946668c,
+    0x87456018, 0x06736b56, 0xf396345e, 0x69027a42, 0xf4cb976d, 0xa0ca6aa6, 0x41ad3b61, 0x4596344a,
+    0xf43cafdd, 0x940912e5, 0x13c99283, 0xaf6fbcfd, 0xbd5cd198, 0x5b646578, 0x1312c43d, 0xd6cb3d9b,
+    0x3b763b61, 0x581f19a1, 0x55408110, 0x03cea493, 0xc4fab760, 0xbba4e9ea, 0x19251912, 0xd3a1cb25,
+    0x1a9e165b, 0x2987e519, 0xa68e95c1, 0x8b5b8d44, 0x8c20c911, 0x8544de53, 0x33b30564, 0x0e613dee,
+    0x4aef7acd, 0x317587a0, 0x8027bf6c, 0x820673a2, 0x6b33e12d, 0xc5c3f7e1, 0xc749b99e, 0x71a37537,
+    0x8865718e, 0x1f9ddbb9, 0x84fc7a48, 0xfb77e9d5, 0xff833999, 0xe098e67d, 0x9cb279ce, 0xf0e79527,
+    0x6305b9ef, 0xd258e10a, 0x47665745, 0x621456ad, 0x1f4ba966, 0x2b092841, 0x71b5e8a3, 0xbca2f760,
+    0xbd8988ef, 0xfcc73014, 0x16be1e9e, 0x4851076b, 0x4a4e79f6, 0x60421c20, 0xf23c9e74, 0x9f95320d,
+    0x6ee2dc49, 0x41f8a4b9, 0x074b3c02, 0x68d1264e, 0xa5712f4f, 0x9d488cfc, 0xc0cec01a, 0xb4b0249f,
+    0x97c0d32f, 0x8ffa530d, 0x3516145d, 0xb3be2d2e, 0xfbda00f5, 0xc23cea24, 0xaf14f96b, 0x276a2290,
+    0x1385a62b, 0x03bdd730, 0x33e4eff9, 0x038f3e55, 0x994bf201, 0xf684256d, 0xbb459c07, 0xf06d4668,
+    0xc816c0ca, 0xd3b38733, 0x327de8cb, 0x9d1a3380, 0xe33ff727, 0x4c1e4dda, 0xf3173c93, 0x29bf5481,
+    0x20374560, 0x804a3e3f, 0x3056e973, 0x6e532cae, 0x8dc9f31d, 0xc76ade9a, 0x4d6d5f92, 0x119e9d25,
+    0x20a37a04, 0xe309f66c, 0x3db1cb77, 0x174185f9, 0x082dd3e4, 0x125515c9, 0x7113e156, 0xc276e60d,
+    0x02504c8c, 0x1912c02b, 0xdebf021f, 0x7b19a7a7, 0x9edbd580, 0xe3dacd26, 0x42a85cfc, 0x7299c608,
+    0x9588eeea, 0xd54fad38, 0x3daa3b42, 0x702ac427, 0xfa156858, 0xf5c669bf, 0x2096464e, 0xb4f23a9d,
+    0x40dc67cb, 0x7cc04726, 0xd7f5dfe2, 0xa6a9e39b, 0xeea1f86e, 0xd193761f, 0xd6aeed53, 0x2135370a,
+    0x04906929, 0x5faa5286, 0x70fa3e23, 0x7feb2a67, 0x4e39c638, 0x6683a3f1, 0x236d6313, 0x47c0272f,
+    0x096264fb, 0x5542d9b7, 0x9ace08b1, 0x5d7af54d, 0x3656aaa4, 0x7bb687ca, 0x95da743f, 0x341e22a0,
+    0xfad8f371, 0x79ca1676, 0x421cac23, 0x0b709773, 0x34504e3f, 0x52c21b31, 0x749d5daa, 0x7acaac07,
+    0x580a53db, 0x2d28616f, 0x1498b286, 0x36ed10dd, 0xeb8a5679, 0xc23e9196, 0xcb4561bd, 0x626ecd2b,
+    0x5cc67fd5, 0xe60ec8c1, 0x774b5e21, 0xa39192e9, 0xe4733bd2, 0xc8f86f04, 0x3bb00ca1, 0x9a3ed1b0,
+    0xb5156c99, 0x0f6d9e30, 0xb2e02bfe, 0x538bdda8, 0x109f6733, 0x2fed29a4, 0x57710e4a, 0x4fdf76e5,
+    0x233fec85, 0xc1fb249f, 0xebf0ef6a, 0xa509de81, 0xc9d77752, 0xb986bc0e, 0xc529a7df, 0x690c0973,
+    0xb736ba7c, 0x853f9343, 0x8369cca9, 0x169a2557, 0x2655e13c, 0xadde37fb, 0x3ee5c892, 0x27b66091,
+    0x743383ca, 0xc1d0377c, 0xe8c30108, 0xfa48e371, 0x40448aa7, 0x4322b8bf, 0xe3bd4fe3, 0x6497e2f6,
+    0xc74da336, 0xda469d9e, 0x5c8599d2, 0xb41c70b0, 0xd10493c4, 0x494c88cb, 0xdd073f47, 0x8eb5ab7a,
+    0x77257df4, 0xd712a4a6, 0x27c7a75d, 0x3254932e, 0xebb5e489, 0x1766d368, 0xf868086c, 0x55bdc430,
+    0xa3b0499a, 0x732706cb, 0x71c619a3, 0xa4f9860d, 0x0b68e39d, 0xdc4e48ec, 0x8f91b376, 0x8d4c0b45,
+    0xa4f35d4d, 0x427c8828, 0x4278e8b5, 0xc621e428, 0x31263f3f, 0xcdd737f5, 0x6ce4140a, 0xded99a71,
+    0x338f8c8e, 0xe3bba420, 0x3d0ac99a, 0x61af3c2b, 0xc26b6039, 0x9aee818f, 0x7be98177, 0x85851563,
+    0x07dff469, 0x93527cea, 0x79b21af4, 0x2c46b045, 0x3524e1ab, 0x8b1d1189, 0xed2c8290, 0x1746baf1,
+    0xd57acc48, 0x8dbe7a91, 0x21ff947d, 0xcc5a65de, 0x6fdc0198, 0xafb79976, 0xac429a29, 0x692e3ceb,
+    0x4ff5d6a7, 0xc7644004, 0xff1eaa9e, 0xc4643b6f, 0x5d39309c, 0xa073c600, 0x46861322, 0x9d115c1c,
+    0x74494340, 0x7a120d9a, 0x1689728d, 0x2f7def5e, 0xfd037697, 0x0cd3f6a4, 0xa5b34dce, 0x799e3616,
+    0x5f585c5e, 0xade1ae53, 0x9eb98706, 0xf58136da, 0x099774d1, 0x21b73c28, 0x7f3fa185, 0x491d8a07,
+    0x506dd866, 0xc1e3c628, 0x4c7056d9, 0x36fde890, 0x525cd786, 0x61e3f565, 0x576928d9, 0x0ed20d06,
+    0x9afb2838, 0xc2f0e026, 0xf0c231bf, 0xe30fbd7a, 0x8132e9b6, 0xae9d290e, 0x37c51bbc, 0xda739399,
+    0x0fec3c1d, 0x7d81e41a, 0x03bcc016, 0x569e9e63, 0x8601ffe4, 0x1eb60d4e, 0x9c820a74, 0x08796a5d,
+    0xe1f276e4, 0xfcd6b8be, 0xaa5cbace, 0xabd6e2bb, 0x85bbc859, 0x80938d24, 0x16b51e27, 0xa61402c8,
+    0x5f78de9a, 0xb2f97d32, 0x23a12897, 0x239ca0ed, 0x2ccd2bad, 0xbef3d3d1, 0xf0e4272f, 0xdf8d8af9,
+    0xcf94d566, 0x6f7168b1, 0x01fdd35c, 0xaf32a53a, 0xdb4de4cc, 0x3968f115, 0x701618e5, 0x8d5da177,
+    0xa6e686b8, 0x81f02169, 0x85395530, 0x4c8ce070, 0x2960ec38, 0x6f265477, 0x8f397bd3, 0x765c2842,
+    0x2802a1e3, 0xc7702513, 0x497588f1, 0x24ea89aa, 0x52f92173, 0xb73811bd, 0x73187806, 0x37c75e13,
+    0x1a8a3b14, 0x64c2219a, 0xebeecf8f, 0x7606c38a, 0x3a9201ff, 0x6837c532, 0x45bf612c, 0x18d4bc3c,
+    0xeb6a21f1, 0xb725acc1, 0x0388bb82, 0x43d6a7e9, 0xf46d6dc0, 0x69b64eb3, 0xea9c41d5, 0x45a9af9e,
+    0x3f3edcf7, 0x0ca267a2, 0x909fef10, 0x49141925, 0x3c898094, 0xd9710c4f, 0xddd613ce, 0x66dd1f20,
+    0x55043b30, 0x6f2185a1, 0x8caadbb2, 0x23f79a21, 0x51e4046c, 0x19e6895e, 0xf019646b, 0x08f13324,
+    0x66847655, 0xc0ae2a51, 0x52e687b5, 0x0b7d10d7, 0x77e84ada, 0xf274ba4b, 0x30016f40, 0xf42c14f3,
+    0xaa969616, 0x0d5d3194, 0x8283e35c, 0x2ce94262, 0xee91ef3d, 0x7aabe78f, 0x7221b579, 0x28a5ecb9,
+    0xc4befb4a, 0x5917ae0b, 0x457fb4ed, 0xc8638c89, 0x35a7929f, 0x8899857a, 0x0973b397, 0x23d72567,
+    0x66252baa, 0x8dc72037, 0x80676abc, 0xfdbc0fec, 0x796645e6, 0xecedb1c4, 0x32f85d37, 0xa12ee6df,
+    0xb826a8e8, 0x314b2378, 0xfb0d6099, 0x49506cd7, 0xbb34ccc3, 0xca5de1f2, 0xf8e8bb6f, 0x7815970c,
+    0xeaf3aa99, 0xd1909c3f, 0xb97e4dbd, 0x0166dc3c, 0x8926fda2, 0x1ed4885e, 0x945b019d, 0x573abd2f,
+    0xff83e9a3, 0xf268d3fe, 0xdd0f16e0, 0x405b53fb, 0x299ecaa0, 0x61b01bbe, 0x49ab87be, 0xa2b48e50,
+    0xb2b397f2, 0x2ffd7aa5, 0xb9c8a343, 0x85c6600f, 0x9e0ad2d9, 0xa06221f6, 0x3d020686, 0x42462745,
+    0x8282a15f, 0xcca52446, 0x05b6dc9c, 0x048297c6, 0x1191cddf, 0x3d2d69cf, 0xf00c847e, 0xfa8c16b0,
+    0x3a16a0e9, 0xcbdd77cb, 0x782065aa, 0xff16a471, 0x7b430532, 0x633249dd, 0xd640bfbd, 0x179ced93,
+    0xd5720228, 0x881653a5, 0x37ded3bb, 0x4770a99d, 0x419825f8, 0x70475e4a, 0x2fdbd853, 0x052bc9cc,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000083076749736557242056487941267521536 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da81, 0x20164a03,
+    0x00000000,
+    0xc055b4b3, 0x2420002d, 0xd0e4c6bb, 0x0ef14b88, 0xde56c0a8, 0xc7bb2f56, 0x93f953f6, 0x22520a45,
+    0xc279d891, 0xc7e39ea3, 0xfd12b620, 0x5bb336de, 0xc6f67e4b, 0x6fd9e1eb, 0xbf6c0c4b, 0x7fc0a9b1,
+    0xda47dc76, 0x68659f68, 0xdc4a00db, 0xd42774a3, 0x77b5c0bb, 0x2f856336, 0xde344812, 0xa761a8fd,
+    0xb5873424, 0x9ffd55b4, 0x7d690f7a, 0xd5802e9c, 0x64c20872, 0x30a6f4f5, 0x051ecd23, 0x05e18b99,
+    0x35816cd9, 0xa567e28a, 0xc1e3f46e, 0x91b19b04, 0x08e92974, 0x4ab4c2ff, 0xf748950a, 0xb2a6acb1,
+    0xb6e5befb, 0x4f6b16a4, 0x1da40255, 0x89e56d86, 0xb77cd780, 0xad54d523, 0xacdb45df, 0x36d464c3,
+    0x8d789455, 0x553668d1, 0x0b6b4778, 0x5fc6505b, 0x6a2038e8, 0xd1f78e7f, 0x78b6ffad, 0x1a401fda,
+    0xe6e0353b, 0x86d7ac22, 0xff460f6b, 0x8a426e54, 0xadf25e78, 0x7800f681, 0xa8baa22c, 0x35142752,
+    0x04deae36, 0x6e05e042, 0x36739420, 0xddf85843, 0x5ddc0999, 0x299fa6b0, 0x343e87ef, 0xf5b7dd13,
+    0x1a8f55f6, 0x2ad921f8, 0x49a13145, 0x9b7ebe9e, 0x421af32d, 0xd2c12d48, 0xebe9a60e, 0x79f12b26,
+    0x23582001, 0x6b66086b, 0x6d23032f, 0x6e7e2817, 0x4d193b27, 0x969f6a77, 0xa7455b69, 0xd4d33434,
+    0x05e86dbf, 0x02ba45f5, 0x701e9301, 0x4e685783, 0xb3dea5b6, 0x7f250a46, 0x6dbd7df0, 0xa45e6022,
+    0xeffad777, 0x6aee2864, 0xa5095d8e, 0x4347567c, 0xbfc8430e, 0x4d7c1afd, 0xd6aa817b, 0xcbaf2bd6,
+    0x64692872, 0x7b255ec2, 0x7e9617e4, 0x0b878229, 0xec376104, 0xe8cd61aa, 0x4dc0b7cd, 0x60ec5666,
+    0x39c8f6bb, 0xb2fbfec3, 0x3ff5b601, 0x1189ac99, 0xf8d43eb2, 0x87dfbc24, 0xa69700bc, 0x2bb955dc,
+    0xa6bfb8c8, 0x184d4756, 0xc8583d7d, 0x7cb718e6, 0x2ef2b4ea, 0x9ce1a36c, 0xe243cfdb, 0xca44d5af,
+    0x5d1c124c, 0xaa3e2dee, 0xebd719bf, 0x224506bb, 0xdfce54ee, 0xb2db7fb2, 0x525fa0b5, 0xea1aab83,
+    0x97575db0, 0xd5976035, 0x677a5b99, 0xe1c50d97, 0x726bacdd, 0xc673e7ec, 0x1d0e49e2, 0x8aafd30e,
+    0x7f16c95c, 0x8565b7d4, 0x125b02b4, 0x4461b466, 0x3e3b79be, 0xb7e83b40, 0xc7abdc14, 0xc6dcb8c3,
+    0x80d9cb28, 0x72ca1a9a, 0x0a57d785, 0x64e5554f, 0x5d7a6868, 0xe76c474b, 0xcbf5d320, 0xb169d6c8,
+    0x793d1a73, 0x8f802e85, 0x30c7f18c, 0x5d429770, 0x56cbf0ff, 0x3fffc5ea, 0x40b008f2, 0x7cfa2c0f,
+    0x89d49884, 0x3d2efd9b, 0xa434851e, 0x799e1292, 0xd0025509, 0x4efcf49e, 0xeda2f608, 0x7e141dd5,
+    0x591851d7, 0x3ac8c6c8, 0x7670399c, 0xeff69ef7, 0x56d4dab8, 0x9c53cf41, 0x2b1f06c6, 0x2cf4789a,
+    0x1e8526d3, 0x98f6a43f, 0xb70ae0ca, 0xca8ea366, 0x5d68ddb5, 0x04e765a2, 0xb56e48f2, 0xcdbac694,
+    0x255d18a5, 0x8767ca23, 0xb4324996, 0x5390fc43, 0xb152a2a6, 0x1b34e7b9, 0xb9f70098, 0xf700b238,
+    0x9e60a1c6, 0xbca3e81a, 0x246a84e1, 0x6d8c97de, 0x0d93fd97, 0x3459bb26, 0x065155cd, 0xe041803f,
+    0x3d51b0ad, 0x2c2047ef, 0xd8db33c4, 0x7d3a7d56, 0xbd690f33, 0x36be846a, 0x75f1d50e, 0x93497f76,
+    0xd85b565c, 0xdfedc029, 0x1425f0ce, 0x9eaf26aa, 0x61dc64fc, 0x7a1c25bc, 0xba4131a9, 0xb555285e,
+    0x519de221, 0x8e3fefca, 0xe8f912c8, 0x480c3fb3, 0x8eceaf10, 0x039b55ba, 0x8f22954b, 0xf6c40b92,
+    0xc1235cc5, 0x90d81c51, 0xd41eda87, 0x5270d58a, 0x5d4ee3be, 0x42b508f9, 0x9b202e07, 0x0c92099f,
+    0xfc507796, 0x1a6cb7df, 0xf2f10b5c, 0xf4a91468, 0xea8d2768, 0xa48059db, 0xd92889b3, 0x160f47a2,
+    0x2d2ebaa4, 0xdcfc186c, 0x74a6e0e3, 0xebc04a25, 0x731c2474, 0xeccbd7ed, 0xae7f6d4c, 0xcd60b3d9,
+    0x7cd8e53d, 0x095f5243, 0xb618ff6a, 0x82a7b71e, 0xa9f31e93, 0xc505e902, 0x14deed91, 0x010ae5b8,
+    0x4a16f14e, 0x99ebc2b1, 0xcb3397b3, 0x0081b59b, 0xdf137dda, 0xef067e10, 0xa3b2ceea, 0xd84a8dbd,
+    0x80a4872f, 0x73aaca8f, 0x8adc22bf, 0x556af1a5, 0xf5ccf89a, 0x7de7e09e, 0x0b45fd66, 0xccd893bd,
+    0x52d5f5e7, 0x47f46450, 0xb2e73ddf, 0x946c9fa3, 0x719806f8, 0x7a515147, 0xa2c088dd, 0xceea6f1e,
+    0x5ce610a0, 0xe685ddf5, 0x67bb11b6, 0xda79421f, 0x1c85a0f4, 0xc8a0b3cf, 0xf620c290, 0x98fb30fb,
+    0x5690b6bf, 0xbc6e2c35, 0x16a6f32a, 0xc65be4b3, 0x4a92b5ed, 0x60560409, 0x55da321c, 0x63cee926,
+    0x3d09f3e3, 0x20d7a6cb, 0x47c0b58c, 0x3d67a209, 0xa989d7b2, 0x101659f0, 0x20a97a00, 0xfde4e0cc,
+    0x5ef2e68b, 0x3a683ab3, 0xf14c2892, 0xd214d349, 0x1b7833c6, 0x5226a24f, 0xb7601a0b, 0x8f5fd0f1,
+    0x5c8b4782, 0xabd19f73, 0xc72b4022, 0xd24a3610, 0x35d0fa6b, 0x893002b9, 0x6f14e558, 0x9dac5bf3,
+    0x8cf9eae6, 0x47d25ff0, 0xc63ef0f4, 0x963d4216, 0xe1c63979, 0xba6214a2, 0xffeac55f, 0x03bc0269,
+    0x22228c12, 0xd0c7e61b, 0xa837c879, 0x7badd838, 0x2852aeeb, 0x8b55fa43, 0xfe67c65e, 0xbef1aa6e,
+    0xdd6b08e0, 0x3d77b8de, 0x7b880207, 0xf6b9a268, 0x0cc592b2, 0x2033c72e, 0x39de50b1, 0xf109d981,
+    0x3be7bf73, 0xb5b303d3, 0x94149987, 0x4215d107, 0x00562c7e, 0x6c4c92fd, 0x74048661, 0xe09461be,
+    0x141f626f, 0xeceb856e, 0x1d3bd45b, 0x24898b74, 0xfaaa3832, 0xae2d8d8f, 0x77a93da0, 0x8c9062b9,
+    0xce5025cf, 0xe75105b7, 0xbc46af13, 0x79592da5, 0xf8d0c34b, 0xb36023b9, 0xdcc7a4fc, 0xe0018dac,
+    0x5d7f5940, 0x47c8c8d8, 0xc105a013, 0x15420fd7, 0x21df3e04, 0xe757689d, 0xd673ffd0, 0xba569964,
+    0xe95eb818, 0xdc57ff80, 0x8f61c6b0, 0x1721bd72, 0xe8f70452, 0x4c9b72bd, 0xec3dcabb, 0x14fad18e,
+    0x90dc99ed, 0x90d8fa88, 0x0d04a1e1, 0x22529125, 0x7e721dc5, 0x359dcf61, 0x81495def, 0x97a067ff,
+    0x6816ce38, 0x34b266da, 0xd185f068, 0x3216b90e, 0x6c8ded50, 0xe5e76e13, 0x84438b30, 0x18cbd800,
+    0xf64cb092, 0x6456716e, 0x3f079100, 0xc6ed75a0, 0x1d8bb17d, 0xacd514fb, 0xb7f29a24, 0x3d232269,
+    0x294d483c, 0x1e9abcc8, 0x9ec344b3, 0xb8bbe321, 0x9e4478a0, 0x20623537, 0x5e640114, 0x123e4c3c,
+    0x70aff825, 0x134b44a5, 0xd614e4a6, 0x88d1fe4d, 0xf1cc6b3e, 0x2e823310, 0x0dd667fb, 0x02f42597,
+    0xb53da977, 0xf4ce6cfa, 0x8409b473, 0x210c874f, 0x5063263c, 0xae9a9ea0, 0xe28ad017, 0x66bf0d6e,
+    0xa318bb02, 0xcbf41fb5, 0x1898c464, 0xda3a7d04, 0x2cee61d9, 0xd65dbb7e, 0x6e88f26f, 0x2a604474,
+    0x961180fe, 0xe68a90b9, 0x86925097, 0x4ec4135d, 0x285586ad, 0x1d24c404, 0xdf1e955d, 0xa77d6154,
+    0x42fb9e5e, 0x602173dc, 0xc1c0e644, 0xe1a611b9, 0x6d4f17c0, 0x1d3e727d, 0xd913525b, 0xe7f1c93c,
+    0x9dea37d5, 0xe1fc8efc, 0xa88e45c3, 0x02823b04, 0x3bb7a606, 0xf11e42e5, 0xeea93364, 0x905ba118,
+    0x848824dd, 0xf460864e, 0x9df7efe6, 0x16b6e8f9, 0x2c10cd77, 0x2c789a35, 0x6060f61f, 0x704f4567,
+    0xeb79c45d, 0xb2fe141a, 0x10a9a0f8, 0x8b22fcfb, 0x48c80634, 0xcd8790c8, 0xdb7729b1, 0xb3b5bf50,
+    0x184479c0, 0x2ffdb46b, 0x9085e59d, 0x418c22fc, 0x4c5759f4, 0x2f7b6220, 0xcc95bf18, 0xbaef9810,
+    0x62d61298, 0x7fc399e5, 0x69dbdf57, 0x2b226ce7, 0xacd5685b, 0x8fb883ff, 0xa48efa70, 0xea826324,
+    0x88020cf8, 0x09f2a141, 0xce160e07, 0x6ff8772e, 0x2f643387, 0xceb93be3, 0xb7d6031a, 0xf9bf3bb4,
+    0x247ebaea, 0xeebd7ed4, 0x9b26a493, 0xea4c9fae, 0x44bce192, 0x986d823e, 0x74966ca9, 0x059f1a1a,
+    0x5e7377bc, 0xeb8b7885, 0x8ff92e4c, 0xd53b492a, 0xc3d0a677, 0xa4308da6, 0xf56cde9c, 0x5bb58bbe,
+    0x80c8596d, 0x08a01159, 0x92ab9832, 0xdcbccebc, 0x9699bd64, 0x917314f9, 0x554b81a6, 0x8c5d80df,
+    0xdd6cb6d3, 0x9f7de975, 0xf5ba7854, 0xdfccde36, 0xc7546eae, 0x2a27b7bb, 0xd6a3b961, 0x279f2fae,
+    0xcf8491be, 0x10547a14, 0x410f6d0f, 0xe5a144c0, 0x4d7fc599, 0x3fa34000, 0x756d5657, 0x4458cc4a,
+    0xedc085a4, 0x30de8f6e, 0x4117437c, 0x56ce4e63, 0x0870dfab, 0xbc6b0d58, 0x20c5d8f6, 0xc020f241,
+    0x2021be52, 0x632a9e1b, 0x917e01e8, 0x98df3db5, 0xbe9885fa, 0x1b71d0a9, 0xf564c6a8, 0x42f89b5c,
+    0x21a3fd6c, 0x8d425ca3, 0x920d174c, 0xd137ed9b, 0x41476b2f, 0xa4d152c8, 0x235fe17e, 0xa49a033a,
+    0xd182038e, 0x74a4ce07, 0x51242859, 0xe1951fb4, 0x24cf4663, 0x1f69cd44, 0xbf4fdc48, 0x769d0fec,
+    0x59795938, 0x07e429b7, 0x50ac8b9a, 0x7cedd680, 0x8135756c, 0xae984636, 0x12b52223, 0x97aa772d,
+    0x62ce95da, 0xb22c029e, 0xe9cfe8f3, 0xe5a2c78e, 0xa3b41a57, 0x2d443c82, 0x91a23654, 0xb30717d3,
+    0x4b1c2ba2, 0xd94c8b9f, 0x8716e7df, 0x18dc82b9, 0x90a0bbeb, 0xc3b0dcb6, 0x24818412, 0xd44ab44e,
+    0xe0e3b736, 0x91029e74, 0x10abb733, 0x157deeec, 0x5342c5ef, 0xafc8bc77, 0xc21aa1b3, 0x2daff1a3,
+    0x0e933db2, 0x3a2265fc, 0xe3ece937, 0xb76996f2, 0x5a58fae7, 0x1f2e24ac, 0x1aae7508, 0xc0df7299,
+    0x3dd48b0a, 0x734df5e1, 0x1eaed77a, 0xf7782e79, 0xddc767dd, 0x25e8a44e, 0x16048486, 0x88014dd6,
+    0x13357152, 0x8b6a9f24, 0x03d381b3, 0x4a186da1, 0xb206b02b, 0x530adb90, 0xaab4afbd, 0xda3df267,
+    0xa9314922, 0x5a3b6f45, 0x30ff0e75, 0x582a9962, 0x35dc1b1a, 0x928c78a0, 0x5d72f69b, 0x75b67acd,
+    0xb724e46d, 0xf6789420, 0x9aefb113, 0x64415226, 0x42ed1f0d, 0x161ad254, 0x6494cdfa, 0xc0683769,
+    0xdf36e5ef, 0x7b9e8075, 0xca137591, 0xae19c82d, 0xe64018cd, 0x859a59d0, 0x01f31508, 0x77a80f84,
+    0xbb6c3d8e, 0x8af1139d, 0x3a8c7401, 0x0cc10c83, 0x6b6bd2be, 0x4fc9c4c8, 0xd1506a17, 0xf00d9c71,
+    0x2762c0ab, 0xcc284b5a, 0x04923e7a, 0xd0b7aa27, 0x03a3973a, 0xacc9cf5f, 0x19e87651, 0x44b892cb,
+    0xa0560fc1, 0x7013fbe7, 0x13cac909, 0xd19bfb4b, 0xa813bc05, 0x6750a310, 0xdcb19900, 0x72daf321,
+    0xb6d5b4ae, 0xd2714215, 0xe426f2cf, 0x2787f2ea, 0x9ec8631f, 0x563b44f2, 0x5082a878, 0xd8f71cee,
+    0x2d286220, 0xe9a33d7e, 0x8a4e3f79, 0xc945ac05, 0x769f0ff8, 0xf7e2c82f, 0x6c3a40ac, 0x73b5dcad,
+    0x284ac7b3, 0xef98aba2, 0x894f9857, 0x0ba657c0, 0xae45f6fb, 0xba3c4e61, 0xb19bc3e2, 0xde74ffac,
+    0xd918ce16, 0x807d5684, 0x2780ec38, 0x5bb2ebf0, 0xac5bfa30, 0xed012538, 0x6b5fdd49, 0xa4ca41b8,
+    0xf4c47ba6, 0x2ec0ea53, 0x2ea3f486, 0x03cbb12d, 0xfe06ad29, 0x730af582, 0x7e5e18a5, 0x0c01f3db,
+    0x2aecb1bb, 0xa2ecf6e1, 0x27c92ec0, 0xb4cf919e, 0xdf77fcd9, 0x77df93e5, 0x662d2ef2, 0x43f6f717,
+    0x24724e2c, 0xdf610dcd, 0xd4f1f3d4, 0xb6a2c027, 0x5830e1df, 0x649441d0, 0x277a2c51, 0x37c851c6,
+    0x7300be24, 0x5d2d5b7b, 0x85208f84, 0x542dd7f6, 0xeda46920, 0x87924270, 0xd3725225, 0x094d98bc,
+    0x90314fe4, 0xc786bfbc, 0xcbdbe2dc, 0x7f680c75, 0xe075c32c, 0x82c7e435, 0xfe2d3153, 0x1a3b0123,
+    0x9c15e0ec, 0x314bcb4f, 0x0b9b9edc, 0xcdd4d58b, 0x0d38d1e1, 0x034d287f, 0x61cf3e15, 0xc7c943f0,
+    0xd518aeea, 0xa668a59b, 0x961e745b, 0x44811f43, 0x47cf30ef, 0xf4d6f9ad, 0x02bf007a, 0xfcfb1c8c,
+    0xda6f7ca9, 0x6e6d3e53, 0x5aa71a55, 0xca1a273f, 0x8cf52ffc, 0x1be64428, 0x05e6416a, 0x93025f83,
+    0x911ba1c5, 0x1efecfdf, 0x1dd3d855, 0x2d1d622e, 0x76435b25, 0x12ecca37, 0x112fabcd, 0xd09724cf,
+    0x3db5d0d6, 0xf9333e92, 0xeeede66d, 0x691811aa, 0xe8284645, 0x22e288cb, 0x7f4676f6, 0x9c7c15ef,
+    0x0317e235, 0x6017fc52, 0x493a49bd, 0xbf4ee6d2, 0x65b15e0f, 0x5c208a7a, 0x09be29d3, 0x4740b08f,
+    0xdc647545, 0x7ca0cf5f, 0xe6441cf9, 0x60a760b6, 0x77e7baab, 0x8ea1a33e, 0x82a51b52, 0x7e661ffa,
+    0x2a6b3511, 0x14341fcc, 0x6cd2dc07, 0x8bf6ef35, 0xc3e13f21, 0x83073b7b, 0x3bce69d5, 0xda441f86,
+    0xb15783ce, 0x05e63da3, 0xa9615108, 0x49dd2220, 0xd51c7fd8, 0xdbeb215f, 0x9fff298e, 0xe9d7694b,
+    0x21fc766f, 0x0ae18528, 0x44dc28e7, 0xd4a03081, 0x9b235308, 0x08409a79, 0x1f7a10d3, 0xa6305999,
+    0xff0fd9cf, 0xba84818e, 0xfb5f3bb6, 0x9faccee0, 0xac54d4fb, 0xea3ad650, 0x4969d5e3, 0x5a08e325,
+    0xfc6e69ea, 0xabc1e20c, 0x4c540a60, 0x51de17bf, 0x236b164b, 0xbe5b3c80, 0x92694f5b, 0xa19df638,
+    0x80ed58b5, 0xe6f19160, 0x936154da, 0x9e3b6331, 0x4bd1d28f, 0x201d7f48, 0xdc88f3e5, 0x66189226,
+    0x03b6fff2, 0x2503dd1d, 0xf47900fd, 0x3e46e1da, 0x7c6aa459, 0x18448c6a, 0xd5c084e6, 0xf65ba7b2,
+    0x854d3c19, 0x67677bb0, 0x859a8e94, 0x87e2d168, 0x77edf9e4, 0x95bea4c2, 0xaae3be01, 0x578cf25b,
+    0x179a906a, 0x69904a6b, 0x307f5a34, 0x4963008b, 0xe3234b08, 0x94384404, 0x3a19f658, 0xd69bb476,
+    0xb18f9552, 0xdb7a47c5, 0x2efab145, 0x13ba55e3, 0x0e90eedc, 0x4cc64388, 0x4e9b25ce, 0xc59132a9,
+    0xc4ea08e0, 0x83554fae, 0x86bbaa07, 0xf38b66b3, 0x4db87a7b, 0xf8f5f360, 0xbd846397, 0xa7d44a83,
+    0x23872ee8, 0x3d709878, 0xb9464bb9, 0xdb8529c5, 0x282f26a4, 0x9fe218ac, 0xae1c4d09, 0xec4931c7,
+    0x41c9a356, 0x3ced69c1, 0xf3a62a83, 0x6d247970, 0x5529b5c0, 0xa22a2b5d, 0x40f30f9b, 0xcf1f4447,
+    0x3cdc845b, 0x823e0a3a, 0x3f59eb7a, 0x0051f659, 0x455c76f1, 0xdc7753f4, 0x664f47bb, 0x4642d5e2,
+    0xe95ec6c5, 0x4c610e5f, 0x951b1cd8, 0xc51e38a7, 0x81a5b18c, 0x924fc693, 0x4b4799de, 0xc5913048,
+    0xfba3175d, 0x64528a25, 0x1b44c66b, 0xa2c89c0f, 0xf59eda7d, 0x4a8b4069, 0xddfd8ba1, 0x065c07ca,
+    0xef52bf88, 0xa4135d63, 0xda45fee4, 0x853e62bb, 0x3a4bf093, 0xe8c78f4b, 0x2f12ba2a, 0xdddb1828,
+    0x40cf1dfb, 0x21834364, 0xe79a33c1, 0xeb7bbe77, 0x3d6a72fa, 0xec53d880, 0x06c0fefe, 0x7a619f54,
+    0x6b80422c, 0x75e92017, 0x04dd4dcc, 0xedf4a31a, 0xb729486e, 0xfa829b81, 0x48e7ffb5, 0x645e34f6,
+    0xa8775a66, 0xb7aa46f3, 0x0c84437b, 0x2ec6a19a, 0x0611b4f7, 0xb6cfff82, 0x48fdb44d, 0x13defcd1,
+    0xa2f2a1fe, 0x90d5effb, 0xf6341aa8, 0x28eceb39, 0xc61d0144, 0x70e135e1, 0x0f87d485, 0xf2b98ed5,
+    0xff088356, 0xce6bdeb0, 0xd4a1de07, 0x39eb4e97, 0x8303ed35, 0xd3016382, 0xca1a26af, 0x3b5bbea1,
+    0x7e6c99fb, 0x498c37f2, 0x5c61b2fa, 0x4b01d992, 0x7dfe81fe, 0xbae29d40, 0xdedbf541, 0x3f483751,
+    0x4234baef, 0x53600633, 0x4febbe92, 0x0cb18fdb, 0x45289d64, 0x49e4e04a, 0xd5eae56e, 0x8b990fdc,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000041538374868278621028243970633760768 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d40, 0x900b2501,
+    0x00000000,
+    0x9ce769fa, 0x5f767712, 0x42555569, 0x445d3d5d, 0x9b6ab3c6, 0xe8ab448b, 0x9e9a1d75, 0x917eef92,
+    0x9fa52621, 0xc04c864b, 0x97518f41, 0xdb12bfe9, 0x374e8127, 0xcb3ed635, 0x4a79f350, 0x4081f188,
+    0xa4c9c946, 0x9276a58d, 0x9e5d9f9b, 0xc03fabaa, 0x70933157, 0x7ff23524, 0x1784cfd2, 0x65676ace,
+    0x68279cfc, 0x46910605, 0x6963e125, 0x08032c2c, 0xe15106de, 0x66a75adc, 0x4b8dad50, 0x31f512c3,
+    0xf1148207, 0xebfb4245, 0x429ca406, 0x60cf0320, 0x79623b75, 0x142d1c19, 0xc80513b5, 0xfcb68a55,
+    0x27318b52, 0xcc6e8660, 0x2d9b6437, 0x1e7c8a85, 0xb1673e06, 0x28dd36d3, 0xf4f650f9, 0x61a53ad8,
+    0x6ddd7ba4, 0x80546ce9, 0xd1a8e3b5, 0x75b60797, 0x96578f34, 0x3a2c7e6f, 0x6ab3db97, 0x546ec4a3,
+    0x4e37c6f8, 0xa5d31c0c, 0xb77504d3, 0xb46434e5, 0x20fcbaf8, 0xcc98eb1a, 0x470f4c33, 0xe13a929b,
+    0x3b0a0ed5, 0x5f5c75e6, 0x105dde0c, 0xfda1dfd5, 0x447ddb0a, 0x5c0a3b17, 0xfc3dba9d, 0x88bb6e34,
+    0x566f848d, 0x6df802ca, 0x89f5f1bf, 0x0f0a7d82, 0xce1cfc8c, 0x053d17c5, 0xdc7e5f60, 0x86c21b7f,
+    0x8734b37c, 0x5d284150, 0xcfc3f9cb, 0x6e7e22a0, 0x3d887f8b, 0x615e2d6b, 0x7f136700, 0x1954e247,
+    0xd5d75e03, 0x6e2c8e52, 0xe06d776b, 0x340fd650, 0x75f6a2c1, 0x0b7a539b, 0xff5510d4, 0xae790c39,
+    0x0fc92dd9, 0x5090e253, 0x3336be27, 0xcc542921, 0xcde5ced6, 0xe972993e, 0x741545c0, 0x33d954c6,
+    0x1f27d0c8, 0x5020b2d7, 0xeaea4102, 0x025cef3a, 0x1693e930, 0x46dc2107, 0x3aa0268f, 0xf5a5b74e,
+    0xac17b4c8, 0xecf6cf93, 0x722ebbc0, 0x1912e26f, 0x98127fb8, 0x412eca06, 0x09c8200b, 0x48720866,
+    0xf528ddd4, 0x04e0efdc, 0xd7cc3d54, 0x245b0e1d, 0x3f38e883, 0x5fb23b59, 0xe1ad2495, 0x9d03ffc6,
+    0x40a31bc3, 0x61c5c164, 0x5ea3df2d, 0xc4da2b71, 0xe7b22744, 0x820c6413, 0x6cf3264c, 0x736f0417,
+    0xfd3ac719, 0x0931f9b7, 0x2387c1f9, 0x6bba9079, 0xa58d98a6, 0xe34308d5, 0xcd6205e0, 0x96d9aeff,
+    0xd8670db2, 0x3ec6f748, 0xe994b907, 0xdb9a6ebb, 0x555cb9f3, 0x063ccff9, 0x77d6974c, 0x19513940,
+    0x7330da8f, 0x9064bcd0, 0x9047662d, 0x7328cd14, 0x1c002805, 0x84675bec, 0x4d23ba5d, 0x9e9c2bc0,
+    0x697a9f1b, 0xa2eec9b4, 0xe2567d92, 0xc79c7e86, 0x85b8c9a1, 0xf770c259, 0xef20469d, 0xa71c5761,
+    0xc787fe21, 0x413e9bec, 0xaacdb30d, 0xb6e0639f, 0xd638655c, 0x7450571f, 0x02fd7b75, 0xa029ad2f,
+    0x19b405b2, 0x3c41c4b4, 0x153e5d5c, 0xa1175fe6, 0xa600ac61, 0x1d215895, 0x96bb6b8b, 0xe1b41cdc,
+    0xbbe2a380, 0x376e91a3, 0x95b17233, 0x5afc35ea, 0x88433dbc, 0x62d9a033, 0xd6032ff0, 0x5e245cba,
+    0x0933f22f, 0x62a8aa2a, 0x27cea357, 0x5c41eb22, 0xa8de63f3, 0x2e1509f8, 0x78f46bcb, 0x6ed915d3,
+    0xe67a07cb, 0x9761d0eb, 0x1a92afd1, 0xeab63948, 0x007e8936, 0xcaaec733, 0x1db75425, 0x7b7e1086,
+    0x8e7d8838, 0x05b48052, 0x674cd619, 0xde5a4262, 0x8e9b0195, 0xfa07916a, 0x01f1a47c, 0x12cf71e5,
+    0xeeb5b1bb, 0xef7764a7, 0x8a1a05ae, 0x0de1feb9, 0xde2d1e20, 0x9bd6abd8, 0xfb13e37e, 0x210b98aa,
+    0x70df5f19, 0x24dfe81b, 0x28dc398e, 0x2c0aee7f, 0x0194ff23, 0x0493ce72, 0xf8fee9df, 0xfc5d2edb,
+    0x936ced23, 0xcb1ee94c, 0xc764ffce, 0x7cff52be, 0x25da84ee, 0x4d076cb7, 0x29875648, 0x1be45882,
+    0x6e3bd80f, 0xf7882e93, 0x1e629750, 0xfa287449, 0xafb715e5, 0xae7702b6, 0x991e56fe, 0x5884e719,
+    0xbda2374f, 0x9376738c, 0x6e93496f, 0x5871545d, 0x953e5572, 0x87fc74e4, 0xa1a155d3, 0xfe41df9f,
+    0x5682d36e, 0x0c4e85d7, 0x4dedd151, 0xdc19563d, 0x1b8f9b40, 0x2a303f43, 0x7035042b, 0x1cfaced0,
+    0x4c2f017e, 0x3c1ae535, 0x86cd6597, 0xdcba7429, 0x0a49f71d, 0xbe7d6408, 0x37f6a279, 0x43cceb4f,
+    0x491c2549, 0x17edcec4, 0xf4f05c84, 0xae228ff3, 0x63d25441, 0xf5852821, 0x95867273, 0xd61c320a,
+    0xb99005f3, 0x73e3b35a, 0x411989af, 0x2cfa7c1f, 0xe2578425, 0x2d6ac72b, 0x3af76c5e, 0xd3e419a9,
+    0xd8e09f88, 0x7a368e19, 0xc69d1471, 0x930ddcf8, 0x7cb6cb3c, 0x38c75b13, 0xb3373d6d, 0xafa1a807,
+    0x2ad0669c, 0xf92d36ae, 0x1c4f9886, 0x40adbb4b, 0x32e00b65, 0xb367597b, 0x73baf6c3, 0xadbc5d0a,
+    0x03980387, 0x71e1edf0, 0x731d8185, 0xb8bca773, 0x74d8e2c8, 0xc9fd46a5, 0xf545e9f7, 0x3fbb1c10,
+    0x3a85b40a, 0x00608bae, 0x15615805, 0xf8dc92ae, 0xd6f2fa8e, 0xeeb21c8d, 0x8876f6fc, 0xcfccc521,
+    0xab6c21c1, 0x5887386a, 0x14cec903, 0x6e8a7b86, 0x62acd740, 0xb56dec76, 0x58a02306, 0x4edd8eef,
+    0x1bd33d04, 0x09ce7abb, 0x8d6cd9ad, 0x65a0ef87, 0x296ad2ec, 0x9f07c60d, 0x9a2d584a, 0xc29b5c9e,
+    0x699b1f8f, 0x532237cd, 0x9757a56a, 0xabffebfd, 0xd26c778b, 0xa3ba6eb1, 0x60a641fd, 0x82f11a9c,
+    0x2ed1254d, 0xd9d24d6e, 0xe1c2155c, 0xb6fc368e, 0x583d719b, 0xde56806b, 0xf1eca47b, 0x0a6c5a33,
+    0x00ceb96e, 0x826a92fe, 0x59be8103, 0x148efd6b, 0xd12371ff, 0xc6f3218d, 0xe6c44ef4, 0x4c5a5946,
+    0x5513c254, 0xa1b23c8f, 0xf5a27e39, 0x809c822a, 0xec995d19, 0xd0ff4cb5, 0x3a9243fa, 0xcaf0dfec,
+    0xf776ddae, 0x57e9d029, 0x8db386ea, 0xede8c2bc, 0x53ad458f, 0xd295e1c2, 0xc316cab3, 0x8e5a57ca,
+    0x09658f74, 0xfd3ed6b1, 0x3d98371a, 0x5bf2dc26, 0xe6b145b7, 0x2c08f5cb, 0xc5f23916, 0x3c96ba58,
+    0xf02e8adf, 0x97498c3e, 0x3861e072, 0x24357f34, 0xf02d1e9d, 0x9559eeba, 0x0ca326b0, 0xcf9700e9,
+    0x3b02497f, 0xf3b6495c, 0x1b00de3f, 0x581e2934, 0xf6d8c8a2, 0x92270932, 0xab2f9518, 0xd0799d49,
+    0x130d8599, 0xa83f5695, 0x509b835f, 0x95a82260, 0x1527c707, 0x7487045f, 0x74b4776d, 0x7c10ad0e,
+    0x84edc1d0, 0xae9132d2, 0xa1a36571, 0xf47d9077, 0x4903a167, 0x7a886e3c, 0x29df48b3, 0xb82bf903,
+    0x870ea321, 0xca7f5797, 0x2686afff, 0x03e53ded, 0x89932582, 0x3bc60318, 0x5d909566, 0x7d87c1f4,
+    0x78b05265, 0x59ee70d0, 0x7edfdcaf, 0x453a7333, 0x5011b8c3, 0x5b28b239, 0x06e05bd8, 0xff0660d3,
+    0x1b022e7a, 0xbf2c45ec, 0x3dcd3110, 0xd88537ae, 0xe4e9daf4, 0xfd697338, 0x6d4ac5fa, 0xffa2fedb,
+    0x408d4692, 0xe6623e4e, 0x74a739e5, 0xaed32693, 0xedc5e8af, 0x778dc662, 0x2ab80a51, 0x10e88eb2,
+    0x4721632e, 0x93e9bba8, 0xe8f3c843, 0x18ef7684, 0xae2ed36d, 0x1ff8659e, 0x594d090b, 0x7ba9f854,
+    0x6c770765, 0xc4d5b13c, 0x270f0a27, 0x11aeceae, 0x5f840ddf, 0x59e9c20a, 0xc01339e7, 0x69cd1ea8,
+    0x630648b8, 0xff6c3956, 0xf857ddf8, 0x216bdbcd, 0x2c84453c, 0x36fa0591, 0x19239bd7, 0x946f82b0,
+    0xa0444930, 0x4001f68e, 0x046f93d1, 0xe1bb429a, 0x7f596efc, 0x71fc821c, 0x225b3fd7, 0x1afeb904,
+    0xc539c655, 0xdc973d24, 0x2e67f83b, 0x34dfd8fc, 0x4ae9bc84, 0x537c5250, 0x87e4289c, 0xe345b2bc,
+    0x91c2186d, 0x6bd62d5a, 0xe5142574, 0xc8ffcd5f, 0xa5c80515, 0xb2bf3ef5, 0xeb602ce7, 0x0289331c,
+    0xeaa66174, 0x053b7123, 0x2f6d88b8, 0x96bbfad7, 0xa2f76b21, 0x70a137a1, 0xfa2876ae, 0x5c7a6aa5,
+    0x4cb33c82, 0x2c118091, 0x60151921, 0x807e7e5d, 0xa657208b, 0xf16b5a0d, 0x7f3f8e0a, 0xd1d402b0,
+    0x7b39cb4a, 0x841161aa, 0xde4f69e7, 0xc7733595, 0x3bb3adde, 0x03539518, 0xc68fc235, 0x493bc3d8,
+    0xb6c30c57, 0x9765ba0e, 0xa7d096d8, 0x463bf59f, 0xdd1b62a2, 0xc9f8d1de, 0x66499a52, 0xe13f413a,
+    0x94ceb79f, 0xe92b41b9, 0x2d21850b, 0xc08e3391, 0x5b8eff98, 0xc338dfee, 0x8d1a2607, 0x8ffbecf4,
+    0x4b1d033f, 0xf2e41214, 0x842789e5, 0xa818c190, 0xb31795d9, 0xa53e32f9, 0x68053c0d, 0xd003191d,
+    0x5fb06c36, 0x2ac42469, 0x151ca6b4, 0xf7de2c78, 0x3dbea112, 0x7a240145, 0xd7f01475, 0x201299ed,
+    0x77f500da, 0x582f8dff, 0x99105cda, 0xab6d7b64, 0xa707ae25, 0x00748d4d, 0x3fee908f, 0x1bdcd200,
+    0x97ebf0bc, 0xee68ca09, 0x250c951c, 0x6412ffc2, 0xfc8eef9e, 0xd123ab17, 0xf2709a4b, 0x0448972f,
+    0x1bb46c31, 0xc3bea152, 0x065a33c8, 0x9ae6787c, 0x5641ed9b, 0xdaa52f93, 0xb2a5f230, 0x2b76f539,
+    0x998c70cb, 0x3c50bbd3, 0x30d55db3, 0x48f729a0, 0x37ba8207, 0x43b45f6c, 0x8f6cc2f0, 0x34ca4a13,
+    0xce5498c3, 0x3aa27da4, 0xfda56579, 0xf096db6d, 0xe702e1c3, 0x439170ea, 0x5a4ea785, 0x0ff5b523,
+    0xc0e0cd96, 0x510afff9, 0x6006777c, 0xcb8fe40c, 0x2bbfc3c7, 0xc9d9fda6, 0x8a79acfd, 0x439b99b6,
+    0xc21eef9b, 0x9f28edf4, 0xc3ceb5d9, 0x6fd63e4d, 0xfb6d7cbc, 0x35b213a2, 0xf9307ea4, 0x42b7c59f,
+    0x95251cf1, 0xf869711a, 0x26a74594, 0x29be1de2, 0x356a747a, 0xa8bbae05, 0xb94d8def, 0x55cd2a0b,
+    0xe376df59, 0x6ecb2f72, 0x74917a21, 0x3bf50531, 0x4a485bd6, 0xea58bdda, 0xc037b472, 0x93b42655,
+    0x51d6170a, 0x5438b3d5, 0x99b483e1, 0x5219b663, 0xec5dd953, 0xcdd6feda, 0xbb6b0db0, 0x4848a27c,
+    0x3eba102e, 0x583608d9, 0xa6808c90, 0xd4ba4fec, 0x329a5d5c, 0x96cab368, 0xefe15ecb, 0x3063b33e,
+    0xb8fded22, 0xb19fb3d1, 0x823c77e9, 0xbf087fc0, 0xda3f9b4f, 0xf193be70, 0xf4716d6b, 0xff7c5f2d,
+    0xad5349ef, 0x009254b2, 0xddd866a9, 0x4f33ab1c, 0x18fb34a0, 0x5a7483cc, 0xa3a8e2f7, 0xfacf7127,
+    0xd98d77d3, 0x04762773, 0x9b95d2d0, 0x22965c55, 0x45888b74, 0xaeac7180, 0xe3c8eb0e, 0x99eaff8b,
+    0x267c803f, 0x2a5f3612, 0xe87bb120, 0x06d2529a, 0x7b0b11b2, 0x06775843, 0x0eea3044, 0xa67a9aca,
+    0x9d001db8, 0x63667110, 0x6a45c8c9, 0xea9eeac7, 0xebb90682, 0x06dcd3fe, 0xaaf6a76e, 0xa5925029,
+    0x153ea6ec, 0x42a0d746, 0x03bb53c5, 0xaf5e050a, 0x90bb9a9b, 0xabbfd29d, 0x62be27c0, 0xf6d36479,
+    0xac493606, 0x4ca3db40, 0x5bf7ade6, 0xcc91ea8e, 0xe41525f7, 0x24696897, 0x7133f5d5, 0x1c688a31,
+    0x36e1563c, 0x0498ff66, 0x4e615bdc, 0xdaa0df8b, 0x8427d1b5, 0x9b2ef7a9, 0x35a1a242, 0x4dda12df,
+    0xddda2b5e, 0x9f47e885, 0x88a74e47, 0x0d52c5a5, 0x1b868c6c, 0xdd7fbdcd, 0x9acf4456, 0x964c1af5,
+    0xcc558826, 0x984bf34d, 0xdea90336, 0xf35f049d, 0x8ffc4da1, 0xf5b0cd57, 0x2e6f90ca, 0x8cc880f9,
+    0xb6225b21, 0x7830806e, 0x56a0d924, 0x6073f0b3, 0x512d86fa, 0xbe04b8ba, 0xb0f894c1, 0xf07e226b,
+    0x038efda1, 0xc8f5fde3, 0x9633c29d, 0xf36080bd, 0x203a0ebf, 0xf880d43a, 0x1ef73d77, 0x1c79c3d6,
+    0x20ae6a9d, 0x19f67030, 0x1d5bc9cb, 0x71bd7146, 0xc46f4079, 0xd31d256b, 0x716565bc, 0xe18599f0,
+    0xdd1e76de, 0xec1b474c, 0x8293da8c, 0x30ca6769, 0x28ab670f, 0xf2409100, 0x8b03b340, 0x6adf11cb,
+    0x1261d600, 0x498c42a8, 0xc7b406c5, 0x166f7062, 0xbdbcb606, 0xcd8ce042, 0x5e2d056a, 0xa695606d,
+    0x687670a7, 0xb9d899b8, 0x9ca01cf0, 0xea252e19, 0xd5a77f9b, 0x3b53e04d, 0x2e172f16, 0x7b4e6acc,
+    0x4277238a, 0xeba439fa, 0x2fba653f, 0xb525bf53, 0xbebda35d, 0x38665d5c, 0x19bc7bd7, 0x7a5cc90d,
+    0x869d0c02, 0x0e9dd679, 0x737efa54, 0x51a63eaf, 0xc0a74998, 0x5c97037d, 0x98ad0a33, 0x77e81f54,
+    0xf2590c2e, 0x9392dd46, 0x73523786, 0x4d74bd09, 0x225aa18c, 0x35aa42ed, 0x2ab1307b, 0x77e46ee1,
+    0x73140bdd, 0xc4cc48f3, 0x8f29a02e, 0xddac4b05, 0xf0b11e35, 0x7518bdeb, 0x602be88c, 0x9370180b,
+    0xeb7ae069, 0x310640f7, 0x6926984c, 0xdc29a0d0, 0x73ad24f8, 0x40ce3742, 0x4f034a3f, 0x64b1efb2,
+    0x49b6bdbf, 0xffe6c1b8, 0x6e56a13f, 0x8e84eb1b, 0x41a6de31, 0xa5863ef7, 0x6d6986e4, 0xd0a7a186,
+    0xd60d6a8b, 0x5c6bcb9f, 0x06411a36, 0x1b7a0cb3, 0x127875bd, 0xe40dc46e, 0xe1e1a8c2, 0xd768cf80,
+    0x466e0f50, 0xa4df30c5, 0xe6ef8b4e, 0x0dbc8491, 0x3464babc, 0x0f64ed87, 0x5bae4f01, 0x69d815be,
+    0xc1b79ce8, 0xb6cf85a3, 0x9f3b7471, 0x1a53ace0, 0xb7d0b22d, 0x71cc452b, 0xed4b2cea, 0x15e066ee,
+    0xfb371093, 0x823467db, 0x7b198526, 0x68559465, 0xd0418619, 0x52e386e1, 0x108137f3, 0x9e725c29,
+    0x21b3fe7a, 0xa1c63c4c, 0xf343097a, 0x49d978e9, 0xd80a2e7b, 0xf6adacea, 0x228e90eb, 0x60b65cc2,
+    0xcf88a2fe, 0xc9728a8b, 0xd51a6fca, 0xc8b4764f, 0x3497371d, 0x66df9812, 0x06a3fb27, 0xceda5577,
+    0xc21486a9, 0xd8d442f3, 0x3e49773a, 0x2a4ddd0f, 0xb249e9d6, 0x87df4578, 0xcca65a55, 0x688dd7de,
+    0x660df88e, 0xb92568a2, 0xc4b3637a, 0xa927b893, 0xc6a1c3bf, 0xec34c34a, 0x9d15011f, 0xc07bc493,
+    0x17cb40b0, 0x64c7131f, 0x472204fd, 0x882aed92, 0x496f1a7e, 0x2dd5ee0f, 0x9987ba88, 0x12bcf29b,
+    0x38a46f2e, 0xe1cadf4e, 0xf83fef8c, 0x07432790, 0x60458cad, 0xb0034390, 0xd3e87249, 0x6ddc23f9,
+    0x783e8316, 0x4f9f26b6, 0xbc9a925e, 0xa9c43574, 0xecfba6fd, 0xa62ddb65, 0x58de378d, 0x9d32c73a,
+    0xe5bfbc85, 0x30e25bb7, 0x36fa842c, 0xd11eeca2, 0xc100d04a, 0xf375c2e2, 0x2711e522, 0x39a67386,
+    0xbdc6753d, 0xaa7dcce9, 0x7481669d, 0x1eb5ef60, 0xf1a2ed24, 0x579fcf1c, 0xfc401e48, 0x0f2ec411,
+    0x717270c1, 0xfdb2b714, 0xb9de817e, 0x2ef26d97, 0x1417a84a, 0xe82116ac, 0x56011700, 0x50ce95fd,
+    0x9fd34ba4, 0x51db6a47, 0xad0cdbb0, 0xb12abe17, 0x5065050e, 0xdd086850, 0xe3aebfb3, 0x8daaa6fb,
+    0xb574aa66, 0x1828f0f6, 0x5e82bbbd, 0x887134aa, 0xd888023c, 0x6ebf468e, 0xbfce9e2e, 0xc7fba644,
+    0xb9790128, 0xd050834d, 0x2c21553e, 0xdf573e13, 0x9ec74a5a, 0x754bbd55, 0x61a55657, 0x2d9c3f7c,
+    0xdaaed2fa, 0x939743be, 0xaf75f168, 0xf185ea64, 0xec3fca64, 0xf95be2f8, 0x7f8745d7, 0xff822deb,
+    0x6190ad0e, 0x142697cd, 0x4ff6761d, 0xdf02d47e, 0xf046a7eb, 0xc918278c, 0x7bbe127f, 0x6351e224,
+    0xcee7cd6f, 0x771de790, 0x5cfb8a68, 0x3ea16e26, 0xa505c4be, 0x3462223f, 0x9d3b1c8f, 0xba718ace,
+    0x86cb12dc, 0x199c79e3, 0xd127b737, 0x9879104b, 0xa2db14c8, 0x60541445, 0x578ce966, 0xbc3db40b,
+    0x79af0eaf, 0xfffd6f66, 0x0d335d39, 0xaf5d50ff, 0xf5df1047, 0x3b0de9c4, 0x842493e9, 0xef39e4c4,
+    0xd5d3e038, 0x2d92c374, 0xc379e79b, 0x859df69e, 0xdf8f3dd7, 0x72ae55df, 0x7df81eae, 0xdb58081b,
+    0x8c1c67b5, 0x65ee0c16, 0xf2f47447, 0xa0f3ff27, 0x1abe0eee, 0xdb62986f, 0xe86861ea, 0xd16952c3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000020769187434139310514121985316880384 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db6a0, 0x48059280,
+    0x00000000,
+    0x8db78d0e, 0xb84015e1, 0xa997a43a, 0xebfd13cd, 0xc1d08b98, 0x7ecebfcc, 0x42676dd5, 0x92f71624,
+    0xe4ccc64e, 0xaa48e8ac, 0xba6240ec, 0x30f59cca, 0x3bc57274, 0x20e43018, 0xff7e611f, 0xc436e897,
+    0x39dd9758, 0xad81732d, 0x8338b0ec, 0x660914ea, 0x50350d8a, 0x0007ca7c, 0x786437ab, 0x7c543b5c,
+    0xfab080fa, 0xfd58ac43, 0x5ac5602f, 0x049da6eb, 0x2274acba, 0x58c17fe6, 0x807c359e, 0xc3f8ef0f,
+    0xee9d6542, 0x8a9daef8, 0xde0666fd, 0xc85e18a9, 0x7cfcd633, 0xc0613cb2, 0xba365034, 0x3d74cf21,
+    0x311d250e, 0xeab17779, 0x35edd60d, 0x30d5eaf4, 0xdbca44be, 0x6d596fa6, 0x3e628bc6, 0x705b9adb,
+    0x2d4207e3, 0xbdd6eaf3, 0x257ea985, 0xcf49d151, 0xb76689f3, 0x0ea92528, 0x3c3d1523, 0x65e6541d,
+    0x1302df73, 0x66804f6c, 0x1a61bb30, 0x0eaf9de0, 0x77483b6e, 0x038455a3, 0x726e5ec9, 0x9525fd37,
+    0x2aec3a26, 0x3b0c44b9, 0xb43cc493, 0x4d3cc3cd, 0x5fb12125, 0x30f8ad1b, 0x0c68ab6c, 0x5acd1f17,
+    0x029180fe, 0x10c39c13, 0x9e2e0511, 0x6dbec5ed, 0x2dc08a92, 0xa7c66a79, 0xbb6ca346, 0x184023e8,
+    0x27ccdef1, 0x8f381d22, 0x0f16106e, 0x9e6a054e, 0x0ac4ab9f, 0x085566a9, 0x3fdb875d, 0xa49d1ad2,
+    0x92ec4c32, 0x2e64e75a, 0xf3afb340, 0x1f6c9ba7, 0x0461ad3c, 0xfc592ea6, 0x1e0afabf, 0x6009a3db,
+    0xd97cf3f6, 0x197796ea, 0xb60c9b1e, 0x13640d66, 0x91e41b14, 0x3f6eb765, 0x74a09dcc, 0x6917b349,
+    0xeb42392b, 0x59783710, 0xf15b4fd2, 0xd3a223ea, 0x10952551, 0xc5a64998, 0x671c6ae6, 0xfb01895e,
+    0x5f96fa26, 0x8980c382, 0x927e5007, 0xb63557a3, 0xbccf79d3, 0x1cfd93ab, 0xcb3eeb69, 0x7fef8b93,
+    0xbb1a94ac, 0x23666f2e, 0xf385610d, 0xad3065d8, 0xf41e4532, 0x7fc817d5, 0x813b3785, 0x26802e2a,
+    0xb91877cd, 0x69dda660, 0x3929dfff, 0x46de4750, 0xfd7382b4, 0xd4f5559b, 0x4e0dcc82, 0x7b965fa5,
+    0xcbf85242, 0x8c146570, 0xc523b20c, 0x0b76b3f5, 0xcacffa51, 0xcd5965af, 0xbe336a5c, 0x4bb6cf4c,
+    0xb388c69f, 0x24a560a6, 0x7a2cfd7f, 0xc29f8ef6, 0x2a37fe56, 0xc4285e64, 0xaf55a603, 0xf9a5f75e,
+    0x945efe80, 0x022b7451, 0x694713f6, 0x90c76243, 0xc16302a1, 0xa14d5cc4, 0xc14fcd71, 0xf91777d8,
+    0x3b3f7158, 0xf2f6e362, 0x11e7fbea, 0xf72e9d68, 0x8790b6a4, 0x833affdd, 0x2e9555d5, 0xac48563a,
+    0xb8224c38, 0xd2f249cd, 0xea28d5f6, 0x80cff377, 0x98002100, 0xc7e5e2a6, 0x7d2aaccc, 0xed1a337d,
+    0x652e1dfe, 0xdab76234, 0x8f12aae3, 0x95ad6fa8, 0xac1f67a3, 0xf0eb3c65, 0x57b3605c, 0xf6d42776,
+    0x0549e624, 0x47a90cb4, 0x94525aaa, 0xeb7fb6a2, 0x62c66bb6, 0x77cc2679, 0xdc25e034, 0xe1159fa6,
+    0x45835c62, 0xeb398595, 0xd00f865a, 0xbd1950f8, 0x3c8da602, 0xcb88633c, 0x020c60b4, 0x38865a50,
+    0x60e72fbb, 0x863a1775, 0xa51326eb, 0x15a0e916, 0x5d2ae12b, 0x8ee42cb2, 0x71fb24ff, 0xc92af4e6,
+    0x2a11d738, 0xc0522bf9, 0x76d898fd, 0x54a13448, 0xef78603a, 0xaab0a0cf, 0xfaaa127a, 0x5e0a16f5,
+    0xc008a577, 0xb2bca447, 0xec8e5a3e, 0xd8ba93c2, 0xdf4b307c, 0xe04e751c, 0xb8ced3ba, 0x1c5463e2,
+    0xf8d012ec, 0xbbc11e83, 0x7c4f8e6e, 0x4f85ecfa, 0x35c44d0e, 0xdcc308b7, 0x4bdd2bb5, 0x5b6bd80f,
+    0x15fc4e9e, 0xeec16580, 0xd18d4d8f, 0xb72b3ba1, 0x1de92ef7, 0x985f6cf9, 0x7e845f43, 0x424b1ba2,
+    0x9d688b2f, 0x10bd1f50, 0xf9b35523, 0x496a4047, 0x0c3261f2, 0x8652b743, 0x6ed5ba2b, 0xacba4397,
+    0xb82768ab, 0x0e291f4c, 0x7b97da7d, 0xf3541355, 0x7329d16a, 0xdcd00d14, 0x0cd39458, 0xc3291fad,
+    0xac5b19e3, 0xa0f5fddc, 0xd7428b4d, 0xd1b58301, 0x15f5b1fe, 0xcea368d1, 0x01e23559, 0x25f19141,
+    0x7701ee40, 0x880a6b76, 0x44f56359, 0x316f44c3, 0x6caabea4, 0xf43480ac, 0xbdb6025d, 0x6cb54f1f,
+    0xca368cdf, 0x20084f49, 0x9e75c11f, 0xd5004d60, 0xd010fc36, 0x8a44a714, 0xbf668c36, 0x1ee13da5,
+    0x121f4434, 0xeded1882, 0x716a0577, 0x4d12605e, 0x68479de2, 0xb007f099, 0x1af83657, 0x06584ba3,
+    0xed9fb93b, 0x6ed05766, 0xedf9740a, 0x137be1cf, 0xc27e4a27, 0x453b83a1, 0xe0f97432, 0x7bce6e15,
+    0x70dca67b, 0xec06c06e, 0x8f22ae83, 0xce110b17, 0x58da2b5c, 0x2b3f121b, 0x0523ae47, 0x1d406ad8,
+    0xec230305, 0x52bc9796, 0x1d7af172, 0xf6b62580, 0x6f9e79e7, 0x37dfd70e, 0x0f19625a, 0x862c8933,
+    0x97984752, 0xd6001d62, 0x7c072915, 0x790ef80c, 0x3fe08254, 0xa9d0c65c, 0x093f831b, 0xe545d208,
+    0xb38b17d2, 0x02dfb112, 0x54e6648c, 0x788b979b, 0x94c8f84b, 0x79e18653, 0xeec0c53f, 0x364b00aa,
+    0xa64ed98e, 0xd211c541, 0xc6177f99, 0xdf06cd50, 0xaf19b444, 0x733d3918, 0x0e46085b, 0x4c7620c1,
+    0x2f8b782c, 0x6179ec7e, 0x5d669004, 0xf409f0c2, 0xc3a1c50c, 0xb2c612c5, 0x2b7cf661, 0xb239fc87,
+    0xbb2641ab, 0xb6e5e1a9, 0x626ba25a, 0x5c625c4c, 0xd1699882, 0xe72fec58, 0x253835a2, 0xfa726e5a,
+    0xce604372, 0xa4bc1165, 0x972bdb4f, 0xa4e422d1, 0x52f501f2, 0xb13f63e9, 0x602c4d91, 0x695eca40,
+    0x078d3a5e, 0xf30fb324, 0xc24adf25, 0xeaf276f3, 0xc214908c, 0x10326a71, 0xf2f1d2c4, 0xb0eaae76,
+    0x82672701, 0x3c99ebaa, 0x80ec7cde, 0x7e944cb2, 0xf5e68fc3, 0x6fb6dcb1, 0x976be68a, 0xc9fbc2d9,
+    0xd31843ba, 0x8ec4a88a, 0x7a19a797, 0x25b8cb56, 0x43abc840, 0x840cd6b9, 0xb643fd4f, 0xa3429f27,
+    0x87bc4f8f, 0x6110f84a, 0xe068a5ac, 0x2d31948b, 0x0edd7eb0, 0x9a012b75, 0x792028fa, 0x3accdfe0,
+    0xf7ba8aeb, 0xf0da03a8, 0x8c0fa312, 0x56fe8586, 0x418ed108, 0xd2f48be5, 0x50294c84, 0xf058b9e6,
+    0x7cbafc25, 0xee4ff759, 0xf9911930, 0x38ce82e1, 0x0c40dca0, 0x8c9de246, 0x78f40dcd, 0x431eb6e5,
+    0x32e2a79f, 0xc146643b, 0xbd29caf4, 0x72286453, 0xe9de5ac5, 0xdf499bd3, 0xbababa8a, 0xd1f86ebd,
+    0x9a51011b, 0x71161154, 0x36159149, 0xbc2e3c9f, 0x92f0e5de, 0x5e4f8f15, 0x4517d553, 0xa6c51c75,
+    0x32a566f0, 0x112388a6, 0x87f8331b, 0x2795d5a6, 0xc2670af8, 0xb30fa5fe, 0x2060aaad, 0xae06dc46,
+    0x644ddcde, 0x13959f7e, 0xe54c3ff2, 0xe16140ca, 0x75625104, 0x27dd7e22, 0xe6e256be, 0x5fa80959,
+    0x86cd3645, 0x535717d6, 0x19079818, 0x3cf42223, 0xa4c2b519, 0xd8a0b4d8, 0xdc2fb50c, 0xb23cf048,
+    0x52f1dccd, 0x85888b92, 0x7d1a40dd, 0xd28fc463, 0xd0765aa5, 0x4ff26ed3, 0x3fcb1ca9, 0x7a5b6a70,
+    0x5fdadbfb, 0x1489d399, 0x8be9b78e, 0xe91befbe, 0xb5bc3147, 0x661590d6, 0x7b721e57, 0xb444491e,
+    0xc2f2d302, 0x2b81c410, 0x67e1111b, 0xe7886350, 0x8e2625e1, 0x8f46681d, 0x7147b4aa, 0x65a9c367,
+    0xe0058f82, 0x02df2e21, 0xa76b243d, 0x58e4378a, 0xa67c8126, 0xc8bf75cc, 0x3d108b87, 0x05e94bf5,
+    0x9cd4e54b, 0xbe1f4b13, 0x2171e633, 0x214587fc, 0x9581d428, 0x83f94ae4, 0x7dc867a8, 0x10e6e213,
+    0xd181a9f6, 0xfa0cf047, 0xf0ac3009, 0xaa2cf2d7, 0xada7e2fe, 0x7bf8243b, 0xf274f16b, 0x18876547,
+    0x2559b7a4, 0x1d3ca5ad, 0x7dee3775, 0xd1ce4fae, 0x67ac3bf1, 0x0f83c8cb, 0x7b1eb813, 0x54af1b6d,
+    0xd594eddf, 0xad088cd3, 0x0ccc2f02, 0x32a7ec5f, 0x2929c5c7, 0x2e77ced3, 0x7b752ffc, 0x63d8a50f,
+    0xca433d63, 0xa716f6bc, 0x30d46a4a, 0xe9bde8de, 0x3904e715, 0x6d123bb3, 0xa691c152, 0x97081a6f,
+    0xaa8035c8, 0x7b4deb89, 0x41a38207, 0xcbb96ffc, 0x266ac963, 0x9172853d, 0x24f5be79, 0x637ac5e7,
+    0x74d59a91, 0x6f7d08eb, 0x9ba184f2, 0x490963c8, 0x7b7ee803, 0x34faa8fb, 0x7e94301e, 0xbbc49996,
+    0x4a4c2172, 0xc993c1e0, 0x3efb9254, 0x50d974b4, 0x8fa3a026, 0x1ac49cec, 0xa7b4e961, 0xc4a7c778,
+    0x72466de3, 0xa4c23007, 0xd3a00ea4, 0xbb016dac, 0x6bc00c28, 0x8ab44ce8, 0xf5002711, 0x71ebb29f,
+    0x72cc69e5, 0x258752ca, 0x7aaa2673, 0xdfd2c28f, 0x921af6cb, 0xe3f41223, 0x9589cba2, 0x2be0ebc7,
+    0x7600ddec, 0x25e8b803, 0x469330cc, 0xd6c45be5, 0x395bfd25, 0xc1c67527, 0x8e31234e, 0x7efb21e8,
+    0xa6eb7bde, 0x77da7b37, 0x18a29264, 0xd9cb9e10, 0x47753392, 0x138ebdf5, 0x0a7f2be0, 0xae5e3b96,
+    0xb6e98942, 0xe6e6d7b2, 0x7b5812a4, 0x41b76984, 0x46462ff8, 0x67318b0e, 0x6e4e98ad, 0x3374c0e0,
+    0x64bc9f46, 0xb1ecfa05, 0xf096466a, 0xe58d845e, 0x40fe1310, 0xd58d79dd, 0x8fd43331, 0x5c5a94a7,
+    0x039607d5, 0x741ad35e, 0x8d9d64a1, 0x215bd7dc, 0xc5c55354, 0x920e7d61, 0xfa9b8129, 0xa5be1c0a,
+    0x7e14de7e, 0x8295484c, 0xaa7cfd5b, 0x5b3575a7, 0x56bf7c3d, 0x3d35b991, 0xb36fc4bf, 0xf0db0f26,
+    0xcef91ee0, 0xa94bfd15, 0x344a1b37, 0x42ec0322, 0x6b9d3f34, 0x72e6efc1, 0x0d77c1ca, 0x7835a361,
+    0x52858c75, 0xe6277f4a, 0xe9560fc3, 0x08bb8704, 0x95573475, 0x0a242f9c, 0xe9da133f, 0x1eb94aa3,
+    0xc1e62a32, 0xfc90bfe6, 0x5fe6d7db, 0xa847e695, 0x21027f2a, 0x54773adf, 0x8559680f, 0xfc97794f,
+    0x83d6b4cb, 0xa5ffd2d6, 0x74c3a78c, 0x2b6e18bc, 0x5ee7644c, 0xd7d4724e, 0xb51b25bf, 0xacde4961,
+    0x6d4f7c30, 0x9d4d66f5, 0xe2effb79, 0xc600caa0, 0x5c877eff, 0xe1c0a6d2, 0x5bf102db, 0xffac04f0,
+    0x2b72ad6f, 0xa07612e4, 0xa42c2550, 0x4b48eabc, 0x7f32aa01, 0x80d8e0d8, 0x52810571, 0xb70c7e0e,
+    0x0a363f7e, 0x7e47783d, 0x6ae8eceb, 0x88b4d9fb, 0x7786c147, 0xc1677524, 0x879efabd, 0x6f9e394c,
+    0x9d8ba9a9, 0xa44d5bdb, 0x4b4a6902, 0x220aef49, 0x1a4edcef, 0x635dd14c, 0x070f0c1b, 0x6663be52,
+    0x1c8fd86c, 0x028277ce, 0xc90ac54e, 0x6908f6bf, 0x46f32656, 0x81039128, 0xd2823548, 0xbbcd4f3c,
+    0x33e8ff8b, 0x25fbcc2d, 0x677bb61a, 0xa3630c67, 0x909f0c1d, 0x05bfe117, 0x3e1f3924, 0xe1350bc8,
+    0x99891109, 0xed7e815c, 0x75cbb63f, 0xaa585255, 0x1cd6d167, 0xdb5f8d05, 0xf1135971, 0x451b1495,
+    0x621b42e2, 0x10957b15, 0x77a828fa, 0x6548acb9, 0x390ae95d, 0xfae3a9bc, 0xa18358ed, 0xf4eb1a9e,
+    0xc808002e, 0x28f99226, 0x378d18dc, 0x19b47e98, 0xe6f56c35, 0xfec781b7, 0x8f061b58, 0x7e398c74,
+    0x65c60cbb, 0x8a18d936, 0xe626448e, 0xf7fa1750, 0x8d3dc8c0, 0x6993f971, 0x76e28d17, 0x24e63c87,
+    0xebdfb15f, 0x97a8ae0d, 0xe8ddb3a4, 0x55ff0174, 0xe963123e, 0x45bd4b57, 0xdced8adc, 0x9851c8fd,
+    0x01b1aa38, 0x0760f965, 0x429d4c39, 0x1d7e3d1e, 0x5a96fd24, 0xe2311f4b, 0xbc433008, 0xdb5e3916,
+    0x90dd2ebe, 0x15e5ed8a, 0x34261e38, 0x6e0a1c29, 0x707853be, 0x021e9b69, 0xde099be3, 0xec3e56ae,
+    0xc28dc344, 0xedd0edd4, 0xdeedee14, 0x7b422915, 0x98a980ca, 0x119594cb, 0x2b4e0d11, 0x2b0c72a7,
+    0xd9b6bb8e, 0x9ada691c, 0xb38ed62b, 0x9fe72b6b, 0x6f14e378, 0x92e40194, 0x94e30cc2, 0x6b9a6eff,
+    0xfae66100, 0x8ff67e77, 0xaba6040f, 0x6e76d4ef, 0x9aed418d, 0x104cfeb5, 0x78b63292, 0xeb4d8372,
+    0xcb57fb8f, 0x7d3db966, 0x98f03932, 0xdb9e7f71, 0x808d04f6, 0x195f228a, 0x2ebf1795, 0x72d13507,
+    0xff6f4271, 0x8398b6ba, 0x69cfb7ce, 0x7c888ff7, 0x36d37c10, 0xe95c635e, 0x843e5c1d, 0xa1541fcf,
+    0xee3b2bb7, 0x740b8ef2, 0x1ae153ce, 0xe15b8a2a, 0x2f21d6af, 0x0af9c320, 0x727c36b9, 0x4fad94a9,
+    0x0abf421e, 0xb6a7e434, 0x0f7f1a57, 0x60c7456b, 0x400a1b5e, 0x0a3b55fc, 0x87957ddc, 0x02f169a6,
+    0x1ff07e5b, 0xb0fdc066, 0xae4b7dbe, 0x0f7b5ac4, 0xc1f4fed8, 0xa581a7b5, 0x9ef2d955, 0xcb541632,
+    0xb46f4279, 0xaea98d97, 0xc5773c48, 0xeedc2ee3, 0x02510e9e, 0x2ac060e7, 0x0034c780, 0x60297965,
+    0x66bc133c, 0x54241871, 0xd2ad1cef, 0xd4d5fb72, 0x5fddd4c2, 0xda5fd816, 0x74bcf90e, 0xa0529be0,
+    0x7d6a00b2, 0x9d4c385f, 0x609752e1, 0xea6ea43b, 0xa20292ce, 0x3eed0cae, 0xc2bc3beb, 0xf1077ded,
+    0xc46ad661, 0x576d0a82, 0x4a65aa22, 0xd9beb65f, 0x6f8120a6, 0x7e4f9813, 0x14eeb2a2, 0x42658821,
+    0xba696a29, 0xd38c751c, 0x665b2eae, 0xdb6472cb, 0x9be27603, 0xa2fe7332, 0x628ac780, 0x858ed483,
+    0x19664674, 0x0215f26c, 0x8b735351, 0x0ac56f30, 0x7da0d26e, 0xf31add2d, 0x493e1aed, 0xc20d3944,
+    0xb9ad72eb, 0x14556d7e, 0x876ad812, 0x782b4bde, 0x3cb2abb4, 0xc3b0fcd1, 0x3dd443a8, 0x3586e1f9,
+    0x5923efff, 0xac541efa, 0xe0308b41, 0x3c4b424d, 0xcc0cdd55, 0xc940dc0c, 0x7f6a2dec, 0x4db216b2,
+    0xd127039c, 0x74b17d75, 0x60f0f005, 0x93628cbf, 0xf6dd38cb, 0x0baa1092, 0x1be635c8, 0x3e658fba,
+    0x6b7d161b, 0xb92c8941, 0x4688edec, 0x0a708a7d, 0x3ba6950a, 0x13d80fbd, 0xdaca1949, 0xe5a6b5fa,
+    0x70341dcf, 0xaaf4fa0d, 0xbc1ee6cc, 0xa53a45a5, 0x7a9a6215, 0xed2ef59e, 0x9feaf751, 0xd48fc145,
+    0xa2787b08, 0xf62d66f1, 0x4cec699b, 0x81d82e88, 0x173cb474, 0xeb1a9055, 0x933fce2a, 0x54ac3d58,
+    0x3dae561e, 0x5ec226d3, 0x5da544b3, 0x161729a3, 0xef0a404e, 0x611b3fe2, 0x07beb8c0, 0x8270e196,
+    0xda63dcaf, 0x828d0fad, 0xf006c250, 0x96b47b50, 0xa43b1a43, 0x8c9d52e3, 0x30f4a11f, 0xcecc6f77,
+    0xfca51869, 0xf123dc6f, 0x9ebb3ce2, 0x71c15e8e, 0x4b7add71, 0x75a0424c, 0xbe71a425, 0x1ed5efa5,
+    0xd12a6596, 0xa52b560a, 0xb3f0bf8e, 0x8a5dcb7d, 0xcb0fdb60, 0x5479d9ff, 0xdb40f750, 0xb1865f53,
+    0x37b0708e, 0x8605774f, 0x2f094dca, 0x2b7d2353, 0x8d31c781, 0x7181e5c3, 0x92453988, 0xf589fc13,
+    0xe4454efc, 0xb6bdd897, 0x031d5103, 0xd41013a0, 0x3a3449ac, 0xdce42092, 0xf9a89647, 0xc8e2e1db,
+    0x4e0d8064, 0x11d0f354, 0x86f8be00, 0x5d56fbe5, 0xaff10aee, 0xbd1477c5, 0xc5823d1e, 0xa7a01cfb,
+    0xb9ab0977, 0xe3c66094, 0x8149d6dd, 0x309c280a, 0x9e1fb32a, 0xee839585, 0x850f73e0, 0x6bd1018d,
+    0xece82ec8, 0xcf6d1862, 0x93e23fb0, 0x2674a13f, 0x5631ae62, 0x97f24f76, 0x45c87639, 0xeb8ad2c7,
+    0x4170f788, 0xe614b26c, 0x51e9e658, 0x99ec3a07, 0xab36376b, 0x63fcf50b, 0xab5b1dae, 0x3f64350c,
+    0xd3f0a4ec, 0xc3369f1e, 0xb7fb9b2a, 0x251d3318, 0x771c3573, 0x5d66ac4b, 0xa7cbc153, 0xb3e35dbd,
+    0xfd60f80d, 0x376e3f20, 0x42b56a27, 0xc576c6bc, 0x6f17606b, 0x65a47f3e, 0x54eb0626, 0xefc111bc,
+    0x3518766e, 0xd49f230a, 0x3cb72156, 0xfda077bf, 0x7aecb28f, 0x3e19ff1b, 0xbefae570, 0x8eb4c1c7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000010384593717069655257060992658440192 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db50, 0x2402c93f,
+    0x00000000,
+    0xbe78cf86, 0x67c2240c, 0xe0f579a6, 0xa603042a, 0xfafafde9, 0x9f5adffe, 0x7ec7ef30, 0x8c15c065,
+    0x34f5fc95, 0xe4c10f97, 0xb2942098, 0x36f93ff6, 0x2cc7ab20, 0x4ce8c34b, 0x05253b17, 0x4497a64b,
+    0x0f266757, 0x5f857067, 0x401ef652, 0x15b85102, 0xbf5d6504, 0x7118d75d, 0xf6aa3faf, 0x0a2ab98d,
+    0xaf2e772b, 0x5d734721, 0xcacae71c, 0x9655a4d8, 0xb9a65c0a, 0x55da42fa, 0x38b4eda5, 0xeef349f8,
+    0x9c7692e8, 0x0ebe5ef0, 0x42ca2c12, 0x277319b8, 0xdbe98479, 0x000685a4, 0xe1cb8d82, 0x39a3b94e,
+    0x297c67bc, 0x3f548f81, 0x1e3193ee, 0x142a7a56, 0x3429fbc6, 0x201c98b0, 0x0ac5ab61, 0x5ef87394,
+    0x4b9eb7f1, 0x40f7471b, 0xc66860fd, 0x78f1ad42, 0x4fa7fcb1, 0x24baca27, 0xc3b726e8, 0x3d4c3103,
+    0x09b47f9b, 0x732639c9, 0xddaf0fe6, 0x8a6b4e51, 0x8d5eb834, 0x0764a78d, 0x37c12a93, 0x240c5422,
+    0x94c60a99, 0x849ad634, 0xf5696e8e, 0x9696fc72, 0x5a9d9678, 0xd23b1451, 0x5ad7b583, 0x8740e9ad,
+    0xb710f580, 0x93585635, 0x6a45d4a9, 0xe7c59682, 0x50d5d54e, 0x3e40a8d7, 0xbb8169ef, 0xd8550cba,
+    0x5a51a20f, 0x0132eab8, 0x8e8e341c, 0x053eea8d, 0x6b99a408, 0x2ae59e56, 0x149683e6, 0xbef969dc,
+    0x31cba974, 0xc6a20298, 0x205d54fc, 0xcc18b6ec, 0x53f6c0b3, 0x1a4b6e0d, 0xe34ddeb4, 0xd9713a5d,
+    0xac0130b5, 0x81a3f00b, 0xe96a0c0a, 0xdb2a80d6, 0xe6519b21, 0xa920ba56, 0x95be4537, 0xf5864b32,
+    0x9401712d, 0xa6426c71, 0xa0f18256, 0x736d92cb, 0x40950c20, 0x9dbc3959, 0xb8e773fe, 0x13e217a3,
+    0x9a705d35, 0x9b890e10, 0xc1a95dc1, 0x3198e6dc, 0x913b8746, 0xa407b883, 0x5f3c9c1d, 0x5ad18515,
+    0x78493623, 0xaa17b525, 0xddb209b7, 0x771bafff, 0x040dd70f, 0xcc30e576, 0x494d4a90, 0xbc4be341,
+    0xb9997b1c, 0xfc2553d1, 0x92fc0b92, 0x3e0ec2db, 0x4bca730c, 0xca8c869c, 0x4dc43c7c, 0x61f311fd,
+    0x3dfd4775, 0x2415fc87, 0x0e0a45a8, 0x3f398c68, 0x7a713cc3, 0x3db03300, 0x2149c954, 0x55c2eb2a,
+    0x0083bdd9, 0x7f1b02d9, 0x9401a18e, 0x8c81df0e, 0x8430b1a2, 0x3dc6c155, 0x6b6a9e3a, 0x3530c5d8,
+    0x2d463fd4, 0x87305be2, 0x098acf0b, 0x988e0e97, 0xfea8d8d6, 0x05058a8f, 0x6b97b900, 0x4e9fb8bb,
+    0xdba02f11, 0x1a9ba8e1, 0xa6411ce0, 0x7f6b8bb0, 0xf9919261, 0x69f94b81, 0x4d12a853, 0xbf640f9f,
+    0xb44f41bc, 0x5190cbbe, 0x7c9ae1a6, 0x6891cc6d, 0xa0db38d6, 0xa98950d7, 0x4691c42a, 0x10230bae,
+    0xcfe5e62b, 0x20b6c7ab, 0xbaf92d43, 0xa6ff7126, 0x6f10d26b, 0x006b5a69, 0xda821a29, 0x3abb6aa0,
+    0xa114dac0, 0xb0b166e3, 0x9f4c05f3, 0x742e8f51, 0x8663b94a, 0x0dffa447, 0x28733e93, 0x543cf8fd,
+    0xd794b1c6, 0x0f82de7a, 0x470537ac, 0x31af844f, 0x15049fcf, 0x7bb4829a, 0x3cf47597, 0xbbda8993,
+    0x6ee9d966, 0x19b4a827, 0xf96a0bf1, 0x752e0e87, 0xbedf5935, 0x60148ad0, 0xabc3400c, 0xbe0df0df,
+    0x5e5680f5, 0x5e21f1cc, 0xd26fcd7a, 0x9e5ac3a9, 0x8531d1be, 0xa08beea5, 0xa2a58b81, 0x63eee123,
+    0xcb5a21aa, 0xabdef424, 0x75b7a53f, 0x8d7c4190, 0xc938ac0a, 0xcb14c421, 0xf72dc40d, 0x23b2673d,
+    0x3df3b014, 0x85aa4751, 0xfb7037b5, 0x0d3fae84, 0x4eceb154, 0x3c5bf0b7, 0x4bfb0024, 0xbd81fce8,
+    0xd45d4950, 0xfd7ef971, 0x971ff2c0, 0x88fecbb3, 0xa5902397, 0x6ae2e2c9, 0x3ebf327a, 0xd3d2f1a1,
+    0x4a335960, 0xe4d79a5f, 0x7eb03f92, 0x8d8aefbc, 0xd95ed5b0, 0xad3f64b2, 0x1b245eff, 0xdd5db820,
+    0xb392ea3c, 0x844d51d1, 0x94ec7417, 0x2413fb47, 0xe61c0e13, 0xe9dcfb8a, 0x4742f6f2, 0x54aea183,
+    0x5dd5b8d9, 0x30b28f5f, 0xe137024e, 0x950ecc14, 0xc996dcd1, 0x211c8e00, 0xd82ef10e, 0x8e8cce99,
+    0x76abd9da, 0x339edf79, 0x0beddc26, 0x340eab25, 0x975f57e6, 0x85a0ed12, 0x905071c8, 0x7c9424a2,
+    0xfe69b893, 0xfdd87d09, 0x79b3d21d, 0xe21aaa66, 0x5a068fa5, 0xee4a8e58, 0xf771197f, 0x1d7d422b,
+    0x882cae45, 0x1cbdc077, 0x14f4021b, 0xb4a2e9bd, 0xbf4b0528, 0x6ae65fbf, 0xc6680a85, 0xd8da0677,
+    0xec670691, 0x31bc1ba0, 0x398a2199, 0x824c5f29, 0xdeba198f, 0xfb1d80c6, 0x09dbddb6, 0x001de884,
+    0x9dbb57ca, 0xa625c92c, 0x8650e821, 0xe4aaa325, 0x989109e9, 0x4b4f02eb, 0xaa1cb59f, 0x113ec731,
+    0xd450c115, 0x21addb1b, 0x296bbdff, 0xa26e050c, 0x51c52303, 0x6dccf387, 0x5e865d7e, 0xb8ecc31d,
+    0x37464056, 0x5fadfec6, 0x749717b8, 0x2291e36b, 0xc325a497, 0x7de918eb, 0x05d1ac20, 0xf7af56e4,
+    0x76a39404, 0xbebb8630, 0x9c201f53, 0xe8405aa0, 0x8553b8e8, 0x6276b363, 0x7c97dc71, 0x36f3d2a5,
+    0xc2cf1cca, 0x4a1b1890, 0x51f2b6e7, 0x315f8172, 0x237336cf, 0xea8671c9, 0x1efb66e6, 0x36b31143,
+    0xcd86cfbb, 0xeabddc3f, 0x70a3a068, 0xe690d4a7, 0xcf7065bb, 0x0c39ddb5, 0xd959d24c, 0xd582dda6,
+    0x6542f4de, 0x3e6dada3, 0x927a0e67, 0xd429ebb9, 0x1ab2fc34, 0x141a08eb, 0x8915639d, 0x49f8670a,
+    0x5cf55671, 0x5f05ac8b, 0x0629f07a, 0xa1b08b14, 0x30564f27, 0xf59822dc, 0x763cd131, 0x5b4b37b7,
+    0x2f4ca7e2, 0xb7c54a7e, 0xbb11af8e, 0x7ee2bd26, 0x18e9073a, 0x664ffb0c, 0xc757b1ab, 0x73d7bf89,
+    0xb21b3c93, 0x2c9e1023, 0xc4bc5889, 0x0780e5ba, 0xdab1c077, 0x7f3f2d53, 0x0207e85d, 0x07f9eac2,
+    0x56a7a323, 0xd38448f4, 0x27f16996, 0xffa432d3, 0xd3815f50, 0xac62d344, 0xa5927e40, 0xd5980308,
+    0x1b779d91, 0x0e89f8ba, 0x7ce792b8, 0x614b2f46, 0xc055371e, 0xcb61b3e6, 0x1749eefd, 0x763e9a0e,
+    0x5ecdc2b0, 0xa3c6ee13, 0x41a460a9, 0xcb44205b, 0x8f823b85, 0xa2a3cd67, 0xff178706, 0x332ca3ea,
+    0x1affaa59, 0x2b640a4a, 0xc2faa5ea, 0x3da33272, 0x582358fb, 0x16db301e, 0x8be87cb5, 0x29c09285,
+    0x27c0a3ec, 0x21b9084d, 0xe9156e2e, 0xf8451552, 0xeb692f11, 0x012edf21, 0x942b26d3, 0x54a2914a,
+    0xedf75c7c, 0x7add9a40, 0x09515e24, 0x795669fd, 0xe81087d0, 0x5a6c54d9, 0xa9f5463a, 0x6e68d6a2,
+    0x161f4675, 0xca77ce3f, 0xf4df861d, 0x315e99a7, 0xeb81d625, 0xb1ad1a3f, 0x9a7981d6, 0x90198a8d,
+    0x8e7fc15a, 0x62588b44, 0x83a66aca, 0x2c59a10d, 0x4751065b, 0x8eb8ced0, 0xd4738cb5, 0x9f0da934,
+    0x6e40eeed, 0xfeef0606, 0xd07fb79d, 0xb5e299df, 0x36a5d4bd, 0xe8400ac5, 0x0089a152, 0x9644bf4d,
+    0x6169c531, 0x0067c8cb, 0x8cc6e0d0, 0xa1412665, 0xd56109d4, 0xcaec2efa, 0xd9b56e71, 0x1d5ab2f2,
+    0x3cb17458, 0x0b7fd411, 0x36c5eb1c, 0xaf8c2851, 0x1653377d, 0x6c0aee20, 0x5e0f52cc, 0x3353c1b0,
+    0x9622c0dc, 0xf011f376, 0x2966c078, 0xe9610061, 0x542e650c, 0x4fc89d37, 0xe88aaa22, 0x19267ef1,
+    0x75e19e36, 0xad6b91c8, 0xdb3f6096, 0xb9f04c10, 0x983bdb01, 0x5bb306a6, 0x22660fc8, 0xa367f5fe,
+    0x7ebb15a4, 0x573a9b18, 0x6aa46902, 0xaa4d1466, 0x9df40ce9, 0xde7bb46a, 0x6bedc623, 0x82404cea,
+    0x420dfc00, 0xa9c79d63, 0x7180df92, 0x68576f66, 0x0ed39403, 0xfa65a18e, 0x7a5f556f, 0x1ead3058,
+    0xe9e3068f, 0x3cda8e9e, 0xfcff4fb3, 0x88b712f1, 0x6abc7276, 0x0638ae46, 0xc148a5da, 0xb949e39d,
+    0x99c53eab, 0xbe4f41cb, 0xb9212613, 0xda0465de, 0xc71c099e, 0x2f867f19, 0xb1b17bbf, 0x8126eb7f,
+    0x20743c69, 0x4bdbfced, 0x1d90faf8, 0x6742e3c5, 0x03f585d2, 0xc575db48, 0xbc66ec88, 0xbdab4f53,
+    0xf2222e1e, 0x84f67d7b, 0xa9ddd96a, 0x7657500d, 0xbcc680fd, 0x0fc0fff8, 0x49a96cf1, 0x7c309124,
+    0x34d822e3, 0x0904e44d, 0x6be3fd9a, 0x1c2a40bf, 0xf801d2f9, 0x386b00ab, 0xb2c7e05b, 0x1b0c8bb8,
+    0xc4c387c4, 0x015468b7, 0x75e631b2, 0x0a838681, 0x71c4995a, 0x0202424c, 0x6899058d, 0x98da7d3b,
+    0x564ded29, 0x7326c569, 0x3b15ca5c, 0x21479b91, 0xa11cd18b, 0xeaa441d4, 0x5116d06f, 0xe051964f,
+    0x3d6fac8c, 0x4612653a, 0xabc233a0, 0xecf4d807, 0x15c49f92, 0xb1721045, 0xf79b82ab, 0x9d6f1bf6,
+    0x4fa0fa28, 0xdc4fd39a, 0xbd06671e, 0xcdafbbde, 0x8a20ad42, 0x1dbabeff, 0x0c2595af, 0x51ce60e3,
+    0x444215d3, 0x5dbf14ea, 0xbceb688f, 0xc374cff9, 0x4259679b, 0x730c8852, 0xee579884, 0x135f5fbe,
+    0xe8f3cb7c, 0xa7f3d453, 0x300a174a, 0x5687adf1, 0xbb3924da, 0x0c01b752, 0x5c85a490, 0xd0d8492a,
+    0xe3813060, 0x8a40c32d, 0xd467664e, 0xd498b249, 0x4a31a62b, 0xc47ee2ae, 0x69596cd8, 0xec74d162,
+    0xcbeeeed8, 0x71e6a5b8, 0xa0b6a39c, 0xea8f872b, 0xa70468d5, 0x3f36b6e4, 0x1a59eb90, 0x5c1f6a88,
+    0xf1f8f508, 0x2569c4d6, 0xe8797050, 0xc2ee0905, 0x525ad399, 0xc66fa4de, 0xb6104528, 0xacb272d1,
+    0xb1522173, 0xc48abd90, 0xd23f6dde, 0x02bc5634, 0xf7cf4b95, 0x13389857, 0x7d0e30ce, 0xc8e13548,
+    0x7434f5ea, 0xefdd66c4, 0x77e95d5d, 0x8b306007, 0x25d92bd2, 0xa4f633be, 0x30ec1596, 0xa881802b,
+    0x6293dae4, 0x65e856ab, 0x48497ade, 0xff26f216, 0x0255a59e, 0x355a2287, 0x8dca6e41, 0x469880dd,
+    0x0a895967, 0xf0bc8dba, 0x0f7a93e4, 0xcd9848a7, 0x7a19ac3f, 0xa72d3ba8, 0x11584efa, 0x405363d4,
+    0x45f1892e, 0xc06b5182, 0xec892a3a, 0x6182286a, 0x5ef6c0ee, 0xb11980cb, 0x6144dcdc, 0x7a926493,
+    0xb208a019, 0x15f7a12c, 0x65bae84c, 0x133380c6, 0x84c33255, 0xdce2aef5, 0x0a573d5f, 0xe7073c76,
+    0x556b2522, 0xf7a2ba8e, 0x5a6af4a0, 0x80cb4e45, 0xfe2d18a5, 0x05cbf0f7, 0x3d8756be, 0x30b54041,
+    0x0127ecb5, 0x89e33691, 0x0b25411d, 0xc2fdf3ec, 0x7a06e7f4, 0x6ed85f2f, 0xb6020faa, 0x78f84a6f,
+    0xc6885aa0, 0x71beb2ca, 0x73850827, 0x5e354130, 0xa3484404, 0x1369609c, 0x02fa07ce, 0x11695d5a,
+    0xbff03d98, 0xe952e73f, 0x278b3963, 0xb35bf710, 0xe3ca93eb, 0x9ae9795c, 0x0bc15434, 0xb3060021,
+    0x22d692df, 0x065d8019, 0xed2b3e86, 0xd953e4e0, 0x3f94349c, 0x328bed63, 0xf6be27c3, 0x9c66b70b,
+    0xa78f12de, 0xab71d3d1, 0x282d7202, 0x5184d9dc, 0xd369e50a, 0x885a2667, 0xb0d1effd, 0x6509b4ac,
+    0x7c1d0c98, 0x8a787749, 0x3f132edd, 0x090d0339, 0x3e12d7b3, 0x8bbefe87, 0xd6798a4e, 0x0ea7b508,
+    0x3308f34f, 0x4f846312, 0x6ce024b9, 0x04bf199d, 0xac7f4026, 0x8b157384, 0xc6099fcd, 0xa4a9793d,
+    0x2ae389da, 0x4274bd6e, 0xfe5d2557, 0x3e21f35a, 0x3d59f33b, 0xf0929286, 0xc29fbc1f, 0x3b1b0763,
+    0xea6c1800, 0x6065ac78, 0x51765c47, 0x3381910e, 0x18ff8df5, 0xdb8ae1c6, 0x19bcb098, 0x65897424,
+    0x3a934800, 0xe3498c1d, 0xa7a42774, 0x7a33c373, 0x0ec3bc58, 0x77b287a0, 0xe63a1ea7, 0x868ae778,
+    0x285ae486, 0x582edb49, 0x20aaa1e9, 0x9ab9dcc5, 0xc1ec41af, 0xb3840c0e, 0xd5ab41f9, 0x6dae43ba,
+    0x5b897787, 0x6deb0d83, 0xb02c6da3, 0x1e24e677, 0xd02d67ab, 0xc57f6d35, 0x6b12aa08, 0x408c5f7d,
+    0x68c5f983, 0x5cae0edf, 0x62f57fb7, 0x918c768c, 0xa4694cad, 0x93e71a50, 0x47c98143, 0x53511692,
+    0xc56c38d2, 0x9f544f0e, 0x84690a33, 0x44c1f152, 0x5d1767ed, 0x5aca6742, 0x8f7042ed, 0xbb4887da,
+    0xadf5d14a, 0xd748c07e, 0x1c4bd20a, 0x7435ee41, 0xde80cff2, 0x0c1a2cde, 0xebce17f6, 0x69aa3cfd,
+    0xa8b45c49, 0x33d3bcd8, 0x24047487, 0x3de4b3c6, 0x7fb8b18e, 0x19ea1f83, 0x89b24206, 0x1539137a,
+    0x40e1faf1, 0xbde437ac, 0xe7926f25, 0x43bbdbb6, 0x51b34b6e, 0x4ac582ab, 0x01bcfde5, 0x131785d2,
+    0x65a4a786, 0x56d89445, 0xc242d3c7, 0x7871077d, 0x2b3b8fd5, 0x5763b7f5, 0x82b93e39, 0x8810e491,
+    0x9bd8362a, 0xb0069e4b, 0xca398e2c, 0xeaafe09e, 0x691ee79f, 0x49009b26, 0xfa734af3, 0x6d1a8f85,
+    0xa2a3e70c, 0x33f04ef5, 0x7bbd8c55, 0x896b3d8a, 0xe10c62e4, 0x6ba84960, 0xa51e871c, 0x2271b55f,
+    0x5a6e3f58, 0x087f1775, 0xf8bb7277, 0xa7bf8381, 0x98dccd7e, 0xfd40ebff, 0xda1a3971, 0x05ad50ee,
+    0x3b96280a, 0x749a487c, 0x6b8002c3, 0x31d91766, 0x84c15163, 0xcff67b61, 0xe715bde5, 0xe85508ff,
+    0xb5469fb0, 0xd00ec8f3, 0x7eaccb96, 0xdebf81c2, 0x856ca5c7, 0x2c5d59a7, 0xd5311298, 0xa0ff62bf,
+    0x68a1cc3a, 0x3ae483db, 0x74fe7c1b, 0x1b9bf0f6, 0xdf842224, 0x2628fd9e, 0xc8f1ded4, 0xff1290ff,
+    0xcf6470d8, 0xc0980b1b, 0xe374e213, 0x0a8eba0b, 0x2a62ec70, 0xbf24a62d, 0x22f1aeb8, 0xf8d38a1d,
+    0x16a6c1a3, 0x364defa8, 0x55cb43d0, 0xb38b62bf, 0x47d00676, 0x541b84c3, 0xfa08f4c0, 0xe3d8817f,
+    0x4754d2b7, 0xa8e491fd, 0x88fa2038, 0x9851b979, 0x7eb77265, 0x75fb878d, 0x9b4db467, 0x62e42145,
+    0xb94ff05a, 0xe99883b0, 0xd472f22c, 0xd84640ab, 0xf71ee486, 0x45024ccd, 0x5858a244, 0xc8724b0e,
+    0x88ff6a21, 0xa340a5a0, 0x00c6347c, 0x36ea4c5d, 0x212d2f26, 0xfa5f84df, 0x50f92c35, 0xc1f4ac4a,
+    0xf0f962ae, 0xf13db786, 0xccd7a439, 0xc6d1c7fe, 0x0d0fe89e, 0x7cd71602, 0xf0b16a30, 0x935f8a28,
+    0xb2b16855, 0x7ef1fcbb, 0x092a3ff4, 0x69ab39fb, 0xfb2c9769, 0xfa61df9a, 0xfce7ac89, 0xe313af41,
+    0xd2ee6df6, 0x3bfa8b68, 0x9bcebfbe, 0x6fc696e7, 0x43fab467, 0x7a4935f3, 0x412abe3d, 0xa8a4cbd1,
+    0xe755329c, 0x44aa0c92, 0xea9e882b, 0x8740666f, 0x9887829d, 0xa7397563, 0xb3fafbcb, 0xf97e4eec,
+    0x8efa294f, 0xcedfbf50, 0xb59a0651, 0x20a5d44f, 0xb89e6cd4, 0x14a72f30, 0xd7fc743a, 0x4a42588b,
+    0x7f71357a, 0x82551b0b, 0x23c9a859, 0x547c8fee, 0xe6cd89f0, 0x08ba4586, 0xb208a8f4, 0x5976df5a,
+    0x293874a7, 0x1cdab777, 0xe7f17fef, 0x940505b9, 0x91ca1c94, 0x0053c87d, 0xd5e382cb, 0x46b9a5a7,
+    0xaa5b03d9, 0x17c58512, 0xd5597a7d, 0x6514d24a, 0xa9100307, 0x56341f1e, 0x1f811649, 0xccf57989,
+    0x677fa2d3, 0x068db018, 0xb816304f, 0xdb0be241, 0x8a46c7e7, 0x1fe84a4f, 0xa4bd8239, 0x8eb2b0aa,
+    0xf107aa56, 0xda129b80, 0x2377c0a9, 0x93a1320e, 0xaf992f13, 0x25875dbd, 0xe7d651cb, 0xed9a6fae,
+    0xaee0b6f6, 0xdf39d153, 0xdb1fb1b2, 0x8b43481c, 0xe4e71557, 0x2750459f, 0xe0a908e5, 0xa7a5b0fd,
+    0xe6cfdf6a, 0xfbf24d19, 0xda4e3918, 0xe97b3dda, 0x921bbe5c, 0x96c6176c, 0x7b48e524, 0x925cf117,
+    0xd697dbdd, 0x50f3da0d, 0x33ea261a, 0xaa31404e, 0x37ba32de, 0xc9f55cc5, 0xfd141683, 0x936b0243,
+    0xb0c739a8, 0x0addb20b, 0x3f70a449, 0x298a56b0, 0x072792af, 0xb1204f98, 0x5c96540a, 0xc510bfe6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000005192296858534827628530496329220096 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da8, 0x1201649f,
+    0x00000000,
+    0x9c246b24, 0xd5e35d85, 0xec4b64d0, 0x1da2433a, 0x8ac0d2b1, 0x4aadd4b6, 0x11b911d7, 0x76584e71,
+    0x344e6640, 0xe13f18de, 0x52da94fe, 0x62b4e145, 0xc28680a9, 0xc204fa47, 0xa933bd6c, 0xa3ce50b3,
+    0x3c851e53, 0x18eaeb82, 0xd7b9a0c5, 0x31a02ba9, 0x2955403c, 0x382d4889, 0x1f7dcdf1, 0x99511e0d,
+    0x0377fdcc, 0xe0f5e49d, 0x6f6fe587, 0x23ee119b, 0x710728d4, 0x0e7b4178, 0xc6e494c6, 0xaf4d00dc,
+    0xb9d12cf3, 0xd7a42943, 0x6532fcde, 0x54d39a7d, 0x4d378065, 0x40f82ac8, 0x3ecd4cf2, 0x5e84f015,
+    0xc9e1cbcf, 0x60e460f3, 0x9b31f516, 0xb017c414, 0xcb3fe314, 0x67b2cf36, 0x770f4dc5, 0xdfc09e8e,
+    0x81c9c14d, 0x046df212, 0x606c3329, 0xf2b0524b, 0xd88b2772, 0x842fd73a, 0x5e5c2ca4, 0x85f3de39,
+    0x522d5059, 0x7ff5b855, 0x05085149, 0x7e35b264, 0xaae0446e, 0x5be92c71, 0xf72f2915, 0x4e32b841,
+    0xe6aee791, 0x181394c1, 0xb19d8b48, 0xf7faf9ed, 0xf4eb3270, 0x3f57f839, 0x3bf795ed, 0x456b7fe6,
+    0x2b1913f4, 0x03c242c6, 0x0a018069, 0x1937d99b, 0xc1456c7f, 0x545328fa, 0x2e58847e, 0x59c5eccd,
+    0x96dc74c9, 0x9214605f, 0xdb6dbc96, 0x20f25b6c, 0x97afcf10, 0xc4ad7671, 0x588b3626, 0x6e5a61ff,
+    0x3e76cef1, 0xacba1e9a, 0xd1cefdc5, 0x7955811c, 0x340c8307, 0x84e4742b, 0x8cc6098e, 0xb6db8e50,
+    0xdd30f2d2, 0xaff8b116, 0x381f8851, 0x0dab8476, 0x7ae171c6, 0xdbb4a887, 0x7a0ea4d9, 0x44db0a3d,
+    0x8d3fc149, 0x360487a1, 0xc089368b, 0x86478272, 0xa80d1f23, 0xc25d6d1e, 0xd3455848, 0xb0c37f51,
+    0x0d7cbde1, 0x8feadea0, 0xf6bb89b7, 0xd0c643b2, 0x1d0efb1b, 0x39b61430, 0x30c606c1, 0xf43fe35e,
+    0x30855409, 0x351d2d8a, 0xd621d508, 0x2da1c412, 0xae6f7849, 0x0fffe91b, 0xd7936231, 0x3a22db86,
+    0x2f4be350, 0xa7a1b9c6, 0xd484460f, 0x7d24af39, 0x7975b19a, 0x31cf2555, 0x01459cbb, 0x47a99ab8,
+    0x5ae57c17, 0xd6933fc6, 0x91bf0561, 0xfef157e4, 0x20331d3c, 0x38f25f87, 0xbfa5d448, 0x0474dabf,
+    0xdcbee0e0, 0x71d1b481, 0xf6216681, 0x8d0fdc5a, 0x66d4c205, 0x1b1a5159, 0xe304580f, 0xf5432b50,
+    0x32c0b446, 0x4eaf0638, 0x58195f3f, 0xef79b8f4, 0x660b35f3, 0xc49b97ae, 0x07e0bc07, 0x552d2d55,
+    0x7422d744, 0x37ef8e9f, 0xd5d7e40d, 0x28250e9c, 0x7dec2393, 0x6ffda49d, 0xbd87b212, 0xecb7296f,
+    0x24dbed47, 0x9fe06b94, 0x573664f1, 0xdfe04ba6, 0xb2c4c00e, 0x00bd6650, 0x39e612db, 0xa4e0168d,
+    0xc18eb56f, 0xcec13d25, 0x3bc01199, 0x0522418d, 0xf923732e, 0x5c78146e, 0x45e09c81, 0xc6f977d2,
+    0x1b5c2d37, 0xbf122a90, 0xd8d40888, 0x12db3373, 0x6c70a003, 0xa78be293, 0x28335807, 0x569dfd61,
+    0x089ef1ad, 0xe3ea8832, 0xd48ce898, 0x4f1ff168, 0x211ee136, 0x7517e982, 0x48dc0914, 0x0cff7723,
+    0x25e7e795, 0xca3d7f3a, 0xcd81d6af, 0x626e5b82, 0x91b93800, 0xa62a621e, 0x0e793d20, 0xf8c4ba0f,
+    0xc50b40ad, 0xd7ee8c3e, 0x5b7aff08, 0x7e1ecbc4, 0x8bdf15c3, 0xaf96b6bd, 0x9a9e27b6, 0x58b1f4b8,
+    0xc29f1c67, 0xa37254a8, 0xae06a3e5, 0x2edbf804, 0xa7ec6d04, 0x739ff196, 0x51bb79f8, 0x0b353395,
+    0x4fa00279, 0xf8734df6, 0x6af89d84, 0xc858b568, 0xd21145f8, 0xc756ffa8, 0x51639f36, 0x8a5bf3aa,
+    0x195cae14, 0xd3491b6c, 0x7164d650, 0x5ea15ce4, 0x8fdde3b0, 0xcc1ead40, 0x83b14aae, 0xbf434494,
+    0x63e1cbe3, 0x54a3daa1, 0x837fca71, 0x3f53f54e, 0xdb924cc9, 0xac471622, 0x49799f6a, 0x7e041d90,
+    0x95097963, 0x7565362b, 0xe9cc540d, 0xcdd34bff, 0xdb2acfe6, 0x9b75d0c1, 0x7b67c40c, 0x91616c53,
+    0x922c5ea9, 0x6c3a5b13, 0xb97f72cc, 0xdf63290a, 0xc2069758, 0xd85b4991, 0xf2e40c63, 0x59e56068,
+    0xe6a4cc43, 0xd0aac338, 0x1421ea3c, 0x8f4319ce, 0x4e25626e, 0xd5499224, 0x31e1b2bf, 0xc734516b,
+    0x5a54754e, 0xaa7fd150, 0x66eb077a, 0x496ccc5e, 0xaa2de7a3, 0x060706a7, 0x6d82d6b9, 0x0f91ca77,
+    0x8790eba8, 0x799c34ff, 0x8576b156, 0x1462a25c, 0xbcea2019, 0x21c89c14, 0x3cab9e8f, 0x1d7b4aac,
+    0xa2896834, 0x97fb8a3f, 0x51afe992, 0x442d9688, 0x30f270a1, 0x625bf528, 0x040ef1f5, 0x63f4d5fe,
+    0x72cd6963, 0x53507089, 0x0cf8a7c3, 0xbd2e2b3d, 0x51101eb2, 0x210d3c7b, 0x15c90dc1, 0x023c6486,
+    0x45ac4fb3, 0x6163b4e9, 0x3a95faa0, 0x30832d35, 0x5438fe51, 0x8a227467, 0x8ffce7f8, 0x18000dd5,
+    0x0585dc3f, 0xaf37b13d, 0x104481fe, 0x2e107974, 0xe2390f6f, 0x33acd498, 0xa5f46aca, 0x4bba83e9,
+    0x4a85ff9d, 0xb9cb8899, 0xf2a772ec, 0xdeb44087, 0x79896c6b, 0xa2104214, 0xfce3c570, 0xc42ae9e2,
+    0xba559a47, 0xa68c76bb, 0xcb6823c7, 0xc6eab360, 0x792cffc6, 0xec03b455, 0xb5729fd8, 0x55d9021c,
+    0x7fbd4533, 0x592bcf86, 0x6972bd28, 0x4ab99216, 0x2e15026f, 0x91948009, 0xda503d95, 0x50dc9be1,
+    0x3b50dc16, 0x561e8987, 0xddcb6d22, 0x36d6c31c, 0x0cd85f6d, 0x3619ba08, 0x19971d2b, 0x597caa08,
+    0x82e6af72, 0x30753d19, 0x83451084, 0x50c99f13, 0x07ea3154, 0x59b30136, 0x6a37b8ee, 0x59bc9f69,
+    0xf6b74315, 0x3da2e54f, 0xc4555ed2, 0x36094953, 0x247cc33e, 0x79946d3e, 0x5442e782, 0x8bd5e7a7,
+    0x4160f021, 0x08c9df13, 0x14b60a70, 0xbd64afd0, 0xdb852738, 0x0035eec0, 0x2ed7a553, 0xf6a8a79e,
+    0x9a4298e7, 0x3b68ed4f, 0x239606c3, 0x601f326b, 0xf34f21ba, 0x0fd114d3, 0xe841df79, 0x4749e4d1,
+    0xe460dddd, 0xbd7085f9, 0xf0862554, 0x1026f3b8, 0x66780b4f, 0x3b035df9, 0xd5d3bd09, 0xd1cd2d03,
+    0x6da39458, 0xef3a2487, 0x09452a94, 0xf6bdcd73, 0x13dc1070, 0x62a7f4b4, 0x13adf6dd, 0x08cf5eca,
+    0x1c54eae4, 0x11450fa5, 0x1418e869, 0x26ef50b2, 0x88259e9b, 0x1a61527f, 0xa29ab1b4, 0xcc1ed22b,
+    0x65f572c8, 0xc0c67c0e, 0x7f95b9ec, 0x58c71d18, 0x19227fda, 0x03c6ae21, 0xb2b59cac, 0x5f934180,
+    0x4d8d46d0, 0xa7c1b051, 0x9161b451, 0x50824d86, 0x0779fa19, 0x02d089f2, 0xdb8d4ee5, 0x8f2110a4,
+    0x00c04c7a, 0x06ca6ea7, 0x3962bc22, 0x9b1221cd, 0xa483520c, 0x651fcc85, 0xd7768cd6, 0xc380c381,
+    0x6177ffef, 0x89c05ec4, 0x746e1cf5, 0xa9b8a0b4, 0xdb0bc7dd, 0xd9a988f7, 0x3ebe00ac, 0x7ed9bb14,
+    0x785bbad9, 0xa68fe6ab, 0x5fabe977, 0x4bf77f03, 0x2b6f5201, 0xf1275bdc, 0x29823a72, 0x00c268cc,
+    0x29a47016, 0xc55d5b1b, 0x25af905b, 0xe1be007b, 0xd46ea3d4, 0x99dfa9b2, 0x28007847, 0x11cde4c3,
+    0xc3873470, 0x63583e4b, 0x815a7b33, 0x2e7ed2e6, 0x3f459371, 0xab88b972, 0xd52e21ed, 0x8f36cd3e,
+    0xeefabe24, 0x391e4571, 0xd2c343dc, 0x777135b9, 0xe8f162c2, 0xa1240e94, 0x2ddd676b, 0x01b91bfc,
+    0xa9f314f2, 0x2e527325, 0x69e3495a, 0x5da91b08, 0xfb434b7e, 0x249fdf33, 0x95b7d073, 0xd1118c2d,
+    0xba6f18d2, 0x4659abc2, 0x7cb11957, 0x91b7fa12, 0x54051981, 0x9f3e1b03, 0x39a4e5c8, 0x22c4be36,
+    0x14bd27b7, 0xbea2fdd7, 0xc0e38822, 0x88f2a700, 0xcfd89c6d, 0xab511641, 0xebd6c0b9, 0x34d3038a,
+    0x801e5ee6, 0x3a39e6ad, 0xe278c9f8, 0x83c4c02d, 0x2edf3853, 0x460d3dd1, 0x73abcdfb, 0x6bd345bb,
+    0xd3cca13f, 0x7a970a68, 0x2a334501, 0x32646292, 0x5270b372, 0x615bb003, 0xcef92532, 0x29193f94,
+    0x7f13ea66, 0x04a82e5a, 0x1019df0b, 0xf54b02b8, 0x3ccf5275, 0xad9a3728, 0x56e5a8ab, 0x7e40c9c0,
+    0x5b09c3e5, 0x762d7e5a, 0x166f4f05, 0x7b093460, 0x06a4adbd, 0x2502c1a9, 0x865f9286, 0xc3f35629,
+    0xf6a4be69, 0x0b6e54c2, 0xe2af32a6, 0x29c1082b, 0x900d66c4, 0xb9a25e3d, 0x99452207, 0x18b29cf8,
+    0x6f5fca80, 0x45f30847, 0x650ccc22, 0x8e012fbf, 0x8845d72b, 0xa21dc451, 0xa3468056, 0x94ed3b09,
+    0x62450738, 0x587c70b6, 0xf953212e, 0xb112ba9f, 0xeefea708, 0xd761e029, 0x2516b46c, 0x2383f1a2,
+    0x2f8e703a, 0x6d323fd1, 0x10f2da19, 0x6f0689bc, 0x8e19d3a4, 0xfcf90d26, 0xbebd670a, 0x558c65b3,
+    0xb24214b1, 0x79f1fa65, 0x30d76b1f, 0xb0324ac3, 0xea51c097, 0x5684676d, 0x30702877, 0x46468093,
+    0x1c382942, 0xbd4dca54, 0xf4fc1600, 0x52bcff80, 0xdadc177f, 0xe8f57488, 0xe0ba974b, 0x0daf9962,
+    0xe6c60eab, 0x8d68452c, 0xbcfd306b, 0xc3b6209c, 0x7738e2f3, 0x43c47068, 0xaccf6fed, 0x0885e655,
+    0xb67ad3ac, 0xc87dd6c0, 0x491c90b6, 0x46467d84, 0xfdd7a27b, 0x4dbabdc6, 0x2d234a4c, 0x340c5a36,
+    0xb8aae26c, 0x176c7712, 0x0e22e80a, 0x2813e157, 0xe59525fe, 0x742f0ec1, 0x21109d7e, 0x8449f633,
+    0xd3db185e, 0xf6551e0b, 0x8dd48b45, 0x95ad19f2, 0x083393d8, 0x74614ff1, 0xbf01bb42, 0x9a4760f6,
+    0x7a04fbaa, 0x2aeebfab, 0x235aba89, 0x9192e00b, 0xae5cd2f4, 0x38981628, 0xc5d65291, 0xad8c0e94,
+    0x29b492df, 0xcc9f5b4e, 0xf9b86b69, 0x341a4560, 0x60d300b9, 0x824ec2ad, 0xb7993c99, 0x59a63347,
+    0x5f9f1140, 0xb4276dec, 0x27bdfc9c, 0x7cd82046, 0x1dc32e6a, 0x980d0741, 0xd28ca064, 0x1f2e3f83,
+    0xb3d1956d, 0xe8dacbd4, 0xcfd89582, 0xbb2261db, 0x94bb4f0e, 0xa00508c8, 0x7327deb1, 0xc6fa7c77,
+    0x91099cbb, 0xc838e4e4, 0x47c7fc68, 0x7888d1bd, 0x9c03e90f, 0x266fd653, 0x8a156ed4, 0x32273ca3,
+    0xfff723e9, 0x602f54ed, 0x7c57b1e2, 0x619a85ba, 0x71c66aeb, 0x95e3633d, 0x21c49051, 0x783556f1,
+    0x4d760802, 0x8068ea12, 0x544f9201, 0x0b87be3c, 0x3aa63ad5, 0xf3ef41f6, 0x12011d31, 0x9f839839,
+    0xe988a34b, 0x4a5785cf, 0x1089df51, 0x3e448c08, 0xfedbed8b, 0x0a5793d7, 0xf2c55873, 0x7b9cad11,
+    0xf3f1ea6d, 0x220b2218, 0x201332c1, 0xfd9ee74a, 0xe8cc3040, 0x6aaea648, 0x3d59f385, 0x9a92b63f,
+    0xd73916ab, 0x24413863, 0x0a29f90a, 0x3b11da7d, 0x2de3be4b, 0x90c38aba, 0xe49a3625, 0x70570b02,
+    0xb6e518c6, 0xe9a9774b, 0x3c6c46d1, 0x4d1865e7, 0xfdb98e31, 0xc0277710, 0x1544ccf8, 0x68b0b598,
+    0x9b2608bf, 0x41cef1f0, 0x0b69d0a0, 0x81bcb7a8, 0x41fc92c1, 0xcecf4fcb, 0x0baffe45, 0x09387d2f,
+    0x3656be55, 0x946cf0e6, 0xc9f8d1a2, 0x2adb194c, 0x2a2ae9be, 0xbd9dacff, 0x278e1f56, 0xade58a79,
+    0xf0666115, 0x43aaf43d, 0x26b46348, 0xbede5278, 0x0695c1c0, 0x2b89c826, 0xcc2b10cb, 0xa239361b,
+    0x841062b6, 0xb51614c1, 0xbc8d533c, 0x1c36924f, 0x2432e429, 0x3b9b530a, 0xb011e25c, 0x76105ea9,
+    0xf9774ca5, 0xf3c35537, 0xac1d3a83, 0x70bc9cc0, 0xc7b63799, 0xdaf8b566, 0xb9a0552c, 0x6d13e2e8,
+    0xfa400ca4, 0x6c28f788, 0x72a3d295, 0x04c1bfa7, 0xa9c65624, 0x2914eef0, 0x99bd0ff5, 0x8df3a3c2,
+    0x013a931a, 0x62b66e91, 0xe0743f02, 0x26463dc8, 0x3bead9ab, 0xd10d72a2, 0xcac0a6e7, 0xc5c9ac67,
+    0x3fe14238, 0x92b1630d, 0xa184f9d8, 0x1abff603, 0x7a66c2f4, 0x5992bacf, 0x8a74465a, 0x1ec4a6ae,
+    0x229e622a, 0x908f5d16, 0xb5894645, 0xf3fb2094, 0x6b53c8b2, 0xa355d03a, 0xcb29bd35, 0x13d6b819,
+    0x76815516, 0xa06d8248, 0xe3c656dd, 0x0a2b11fd, 0xc0c0b701, 0xd14f53e4, 0x62913dc0, 0x278be739,
+    0x96b6ad96, 0x74900b9f, 0x2e43ead2, 0xe3d4b1ef, 0x5a667b07, 0x95c64fa8, 0xeb603735, 0x8b10104d,
+    0x3c52f5f4, 0x6bb1ecda, 0x9ad13ab1, 0x609d93ac, 0xcd358902, 0x53e730e3, 0x95612792, 0x2c315200,
+    0x2c74798a, 0xfb01572d, 0xb727f801, 0x3dc4c458, 0xdccc26c2, 0x27be5a05, 0x4e53e374, 0x66e7e2e2,
+    0x994fb52a, 0x7c378e18, 0x084c7d5a, 0xc1a5ab08, 0xedbbf11b, 0x4421d564, 0xf0ac39ae, 0xc5069748,
+    0x636b3501, 0x9d0da102, 0xe6c984a4, 0xcde907da, 0xb3e96e8a, 0x0b423c6c, 0x9ada47af, 0x396df72a,
+    0x102e9d24, 0xcc4f6bd6, 0xf8343b1b, 0xf5b8295c, 0xbf514b87, 0xe1bf35ae, 0xd999a5dd, 0xb63e8d2d,
+    0x3efee33e, 0xf6caba7d, 0x27a3d3bc, 0x21b68ca2, 0xbdc4f40b, 0x220065d6, 0x7013fb01, 0xfc6ec9c1,
+    0x9e814f59, 0x26063a83, 0xc5428722, 0xadfb78e3, 0x6dc4d6dc, 0x659e2d40, 0x2bd7de6a, 0x783acba7,
+    0x8a18d854, 0xbb7477fa, 0xb03fee93, 0x849efdaa, 0xfdec1698, 0x442cb969, 0x2b5ca01d, 0x6828b3d3,
+    0x4b03a9c4, 0xfb43fade, 0xd05af3ea, 0xba006145, 0x6994cdcc, 0x3c9b8e9b, 0x5ca127e3, 0xddb6f860,
+    0x97a05308, 0x4cbf9061, 0xa10c8475, 0xab7b1448, 0x8fceaa6a, 0x6ca7256c, 0x5e99fa90, 0x5e11661b,
+    0xfbb8c725, 0x835370f4, 0x3bcd809e, 0xe2ebb7a4, 0xad2dc803, 0x8504e66b, 0x6f27a8a9, 0xf4cc54f3,
+    0x6f3e96df, 0x70a187f9, 0x316686b6, 0x744f79e1, 0x65680f9b, 0xd575210f, 0x81a1adbb, 0xb72dcd28,
+    0x832a8da0, 0x41bc74cd, 0xa0b220cf, 0x8741f932, 0xe83a20b0, 0x6837b740, 0x5845f8b0, 0x5f63aeaa,
+    0xf1b93366, 0x0bdb03f7, 0x547f7650, 0x46a6f0c0, 0xcbdc498a, 0x2aa981b0, 0xc7bcdd99, 0x79cb3cb0,
+    0xfa88a9f4, 0x988c5bc5, 0xfc2cde6e, 0x45739281, 0xcb9be4a6, 0x3e56f34b, 0x10421f39, 0xfcf5c393,
+    0xf158da20, 0x06ccbcf7, 0x9e194df6, 0x91afd8c5, 0x2c945e94, 0xe8a73fae, 0x8c844ccd, 0xed4fc1ce,
+    0x6a4d4efb, 0xbdfde992, 0x561dcfd7, 0xc66a7137, 0x61781cf4, 0x7bba78e4, 0xd19e912d, 0x99ae52e3,
+    0xadeb2264, 0xb576f377, 0xe242225a, 0xa2022310, 0x2b7a67f3, 0x56b1ae95, 0xff738bd7, 0xd5283019,
+    0xb50c5af3, 0xd3d5a800, 0x36b771dc, 0xa54bb0d9, 0x9380cbbd, 0x8b929f9c, 0xff45e57c, 0x2ee6afad,
+    0x410be4e9, 0x0b7f6826, 0xc35d4c62, 0x19db3d9f, 0x1ac9f162, 0x8c0fda5b, 0x742d6638, 0xc8265100,
+    0xb420bb0c, 0x0c60294a, 0xfe77273e, 0x75cbec27, 0x4efe6107, 0x7845908e, 0xbc65705b, 0x00b1d5fd,
+    0xe1fa15a8, 0x09732b15, 0x8e4c81cd, 0xedcc5a86, 0x3cf213e4, 0x957d5469, 0xf216f659, 0x08b17e27,
+    0x6ea6bf67, 0x8b644fa6, 0xe293d8d1, 0x62647bae, 0x31dadfa6, 0x28bffcd8, 0xe3b49c7a, 0x1a2c706e,
+    0x8c31e3bb, 0x9444f99b, 0x07d8332d, 0xa02ea701, 0xc46357d5, 0x0f4e5dab, 0xd4b5d52c, 0x33159575,
+    0x76c0ebcf, 0x0fe61ab1, 0x2944293e, 0x0a4898b8, 0x189c051e, 0x2cf52a2b, 0x34477af1, 0x8797f368,
+    0x07a21d2e, 0xdc693b10, 0xb862a3e0, 0x71b26006, 0x9fd20360, 0xcdcd2612, 0x714edd8d, 0xdd421942,
+    0xd3332249, 0xd194c06b, 0x51520978, 0x1d320773, 0x831827d5, 0xdcb0a814, 0xfb9be98e, 0x44ad337f,
+    0x6dd289e6, 0x69f008c0, 0x8787bd95, 0xec13b8ad, 0x12e86bd4, 0x88c83270, 0x9bca14bc, 0x931edbe0,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000002596148429267413814265248164610048 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d4, 0x0900b24f,
+    0x00000000,
+    0x8d5f6212, 0x981f5a7b, 0x8315abd9, 0xaba75b0b, 0xac9b20db, 0xed9fa991, 0xbe70e678, 0x9ebb4d4f,
+    0x9857f3d6, 0x5179a8f3, 0x38c4ce40, 0xff98d3cb, 0xa9f995bb, 0x38323483, 0x301afdaf, 0x09b58b3e,
+    0xfd684b41, 0x512e8c6c, 0xeb79c4e8, 0xc642c7be, 0xae93826d, 0x8747bdf5, 0x180ef859, 0x75e50b51,
+    0x966e7706, 0x8bb51038, 0x392cc503, 0xf595978a, 0xac8b53bb, 0x7df74249, 0xc0425a43, 0xd7105991,
+    0x4cf0bb93, 0x577043e4, 0xc032c57b, 0x3997d5ea, 0x30139714, 0x097958e4, 0xea80fa9a, 0x763b8fb1,
+    0xdb0d02c9, 0x1492c917, 0x5afe4f8b, 0x7eaf945c, 0x55c622c6, 0x2a6276f1, 0x45957e3e, 0xc1d63654,
+    0x19ddba8e, 0x810b25ce, 0x7d244ada, 0x4ffc266b, 0x23ccc4c1, 0x2bd5dfb5, 0xb31d931c, 0x776f4c8b,
+    0x769f3a64, 0x60770541, 0x058be785, 0x9dc00e07, 0x56616782, 0xdac4052c, 0x54d0b992, 0xef8a02cf,
+    0x0128ab9e, 0x23d78115, 0x028c3b97, 0x96f808e6, 0xbaebe5c0, 0x52f6c3ec, 0x095b02b9, 0x2588d1ad,
+    0xb009bd83, 0x8560c528, 0x7438b0e0, 0xe63faf31, 0x8a7c66e0, 0x268538c1, 0x40c679d6, 0x1dac136c,
+    0x03a300a4, 0x2c738b14, 0x3f53f3f7, 0xa20b2f62, 0x94a94bae, 0xa808c834, 0xbf31bce1, 0xc4f7c883,
+    0xe60a8e67, 0x4df5a84a, 0xf69f8fb8, 0xdf01ec59, 0xfe0eb1bd, 0x4e841901, 0x2f9738dd, 0xf33ca7e2,
+    0x4ab5c2ee, 0x4ff24b2c, 0x9c4f9898, 0x79d7add2, 0xb752df08, 0x0ab02e53, 0x4e493f9e, 0xe5d44c4c,
+    0xdfcd493e, 0xdc1a973d, 0xdb468a3b, 0x8ad21a73, 0x7faf3d45, 0xe433545e, 0x87cfa842, 0x05711d4b,
+    0xf9c559ad, 0xea6ff919, 0xfd650cec, 0x408adc5c, 0x0b539169, 0x925a9fdf, 0xcf79189c, 0xec448de5,
+    0xda39616d, 0xfd65d1b6, 0xa2e06549, 0xbd21c373, 0x0f18e784, 0xfab7c187, 0x852056cd, 0xdb8de46c,
+    0x66696a78, 0x09c14bf9, 0x4eb8f9e2, 0x4033e57f, 0x8338bb83, 0x788afaba, 0x8a4195ab, 0x0a48dc38,
+    0x1142c00b, 0x593d574f, 0x02107a77, 0x8e6d1b50, 0x375a4074, 0xfe1a8513, 0x2045e642, 0xab0868f3,
+    0x94e2f86e, 0x735d9751, 0xe2a30155, 0xf9b3e0e6, 0xabc6a971, 0x72f3f40e, 0xb89defaf, 0x39fc2457,
+    0x0f849aea, 0xb26bea89, 0x2fa580d3, 0xb83b4f9e, 0xc309e9fb, 0x55797712, 0x9f06796d, 0xb6e581a1,
+    0xe8540347, 0xa9062223, 0x92860855, 0xa2d023c1, 0x57dfadeb, 0xa2d507f5, 0xae08bb04, 0xdbf37978,
+    0xc4cdf2ad, 0xcf11a016, 0x8bb797f0, 0xe1656430, 0xee6477cf, 0x11f3e733, 0xd58482d2, 0x34777d2b,
+    0x62c5c84d, 0xde8fae4c, 0x38ca9542, 0xaf93ac57, 0xec8b7521, 0xc602e007, 0x029d3f56, 0x564893a9,
+    0x69f58249, 0x553974b6, 0xba6b37cf, 0xdd1d89ee, 0xd3ccc3dd, 0x1dc8f1b9, 0x588b03db, 0xfa8062d2,
+    0xc7070a51, 0x13c82e7e, 0xbe87d8ee, 0x6336512d, 0x74a3dc1d, 0xf9fa2cad, 0xc6c77060, 0x9d3ba8e8,
+    0xd163b3b6, 0xc02fe5fe, 0xef95497a, 0x09d40d5c, 0xc2bf7b1a, 0xd6068444, 0xc5d4f518, 0xe56fad4a,
+    0x2a6cc4bc, 0xc86ef66d, 0xfe7a473a, 0x82946ad3, 0xa72ca72e, 0x4f149034, 0x6b9aee96, 0xc8bbd584,
+    0x6bc96606, 0x86f92797, 0x8dddf642, 0xc85a7f9e, 0x5d123c9e, 0xa73acfc4, 0xfb260899, 0x728c5b4a,
+    0x087b5f69, 0x28cda4ce, 0x08114843, 0x522dfa06, 0x3141854a, 0x733c190b, 0xe9086f09, 0xbb08c874,
+    0x0bedca14, 0x9800165e, 0x7897947b, 0x362bff3e, 0x7fc161b3, 0xf2f09d74, 0x610755b8, 0x06cd06ca,
+    0x4c0e6ad2, 0xe2085b54, 0x24db1edc, 0x7b9e9132, 0x9165e1dc, 0xacc206f1, 0x0d85f8b6, 0x433b01ab,
+    0x71afb7c4, 0x9d52b588, 0x5392872f, 0x500317e3, 0xaa92c1a9, 0xd3cf2485, 0xf35e3c52, 0x5d288d45,
+    0x3799db56, 0xb09d67c9, 0xc3f591de, 0x61549b1c, 0xb467fe54, 0x95eb5c65, 0x0e80fa8d, 0x46686d29,
+    0x2de7259b, 0x5a9ee443, 0x464c8ecf, 0x3a7974e1, 0xd1025688, 0xf05c5c42, 0xdda5899d, 0x31373523,
+    0x1f110d37, 0x2438d465, 0xc6228798, 0x80ed275b, 0x63c7b11f, 0x7236c9a1, 0xab2eabaa, 0xef6e3a02,
+    0x53facbab, 0x406b391e, 0x572f2054, 0xfc1bd861, 0x52b256e2, 0xf6c4d7bb, 0x6f53a4d8, 0x727f09f6,
+    0xfee51012, 0x9743cd77, 0x16551765, 0xca6758bd, 0x73dc4609, 0xfcef6867, 0x5c25f775, 0xbf811659,
+    0x35048e93, 0x552d65e5, 0x1740475b, 0x2094e327, 0x28d0db4b, 0xd4af99d1, 0xb5c0dd9d, 0x5802c128,
+    0x2e20aad9, 0x0a71d8d6, 0x6ea1d791, 0xb4949475, 0x40c8e5a8, 0x6e9f4d15, 0xab423d1f, 0x65ea1833,
+    0x3d28d356, 0xce102ac2, 0xc0b7f7fe, 0x33266e29, 0x3e1680dd, 0xb34d0e23, 0x90f4d992, 0xd1e9f67e,
+    0x75ce53ff, 0x5ec4272d, 0x086bd136, 0xc83ca504, 0xf57e2c38, 0xf8116341, 0xdd53c67a, 0x08dea847,
+    0x437cafe2, 0xc6420472, 0xadfef705, 0xb3f681b5, 0x14ac3d60, 0x1e404b05, 0x12a33659, 0xb12c4af0,
+    0x29c72947, 0x214a109c, 0x672be513, 0x778ddfda, 0x5c64214d, 0x253c90fe, 0xbea832dc, 0xa6bdc20b,
+    0xc1315a35, 0xc595680f, 0x5b3cc969, 0x550fd24a, 0x8805aa8f, 0xef2fc40a, 0xd1841361, 0x359acf6c,
+    0xab83cd12, 0x8d2bd5f9, 0xff84748e, 0x18206a6e, 0x8eacf064, 0xee04de86, 0xa9a0fac6, 0x52063319,
+    0x9524e361, 0xfc887928, 0x463a9d28, 0x7883e05b, 0x160752d2, 0x47ad1140, 0x1879bad6, 0x17994fd3,
+    0xa1f78b9c, 0x7488ca3b, 0xadae368c, 0x4168af7c, 0x23487f04, 0x8b0daa62, 0x2c95f806, 0x6399f756,
+    0xba891451, 0x8e0f89aa, 0x97dce744, 0x506697b8, 0x10d2548a, 0x685c3a21, 0x4d80251d, 0xc1e7f628,
+    0xe821a110, 0xc4113030, 0x54129410, 0x609f3c9b, 0x1b19b431, 0xea6f4f48, 0x13dc5ad5, 0x89cc977b,
+    0x7bdf2ac6, 0xf30f40cd, 0xf7fbdc0c, 0x856de1f6, 0x6e3e18fa, 0x922cc90a, 0x48738384, 0x73ac4d38,
+    0x5ded3ed6, 0x82e88d62, 0xb88b26f7, 0xdb68f8aa, 0x3885043a, 0x2056fd1d, 0x6053ea0c, 0x53826f08,
+    0x41798d1f, 0x418cda56, 0xcd800ebc, 0xf4586851, 0x0d5d0959, 0xc2500577, 0x7cf3b9e1, 0x64611379,
+    0xb3fc53ba, 0x97a184db, 0x9a514092, 0x671d4d96, 0xd7df5879, 0xae8eb4c9, 0x60c5d3e7, 0x46978d5d,
+    0x2c6cbe30, 0x50e86416, 0x4e26715b, 0x066e6265, 0x8c999909, 0x99fb71c4, 0x4b875a9a, 0x0ece33d1,
+    0xc845d13e, 0x0821868c, 0xa3bf483b, 0x81401371, 0x87ab74b3, 0x9f554814, 0x1230153d, 0x07a26a95,
+    0x2d16ac5e, 0x640a9027, 0x82c13d15, 0x63fe9fda, 0xcd5cf88e, 0x57158497, 0x80760c7c, 0x95bcda58,
+    0x89544f11, 0x051435be, 0xd344a861, 0x0d604cf7, 0x84a011d3, 0xaa63db1b, 0x7a8c0543, 0x0d4bd797,
+    0x64b99ff1, 0xc95ad19e, 0xb639275a, 0xac756e13, 0x2d0b42af, 0x6c14daba, 0xb14fc297, 0x91cc96d2,
+    0x8d102593, 0xc3f17224, 0x22f23962, 0x359a7928, 0xec9eaa2e, 0xf8d1fe44, 0x94479103, 0x0ebcf5b4,
+    0x795d70cd, 0xf234478e, 0xed17bd4a, 0x950d1303, 0x76258876, 0x6a7c5197, 0xcdda27a4, 0xf0e752d5,
+    0xde93d066, 0xb3694d57, 0x74656da3, 0x9cb97473, 0x1a274e23, 0x94859d0a, 0x580a61d1, 0xeeba3026,
+    0xa8fe493f, 0x3d4cbe69, 0x4d3566b0, 0x58ff9bf4, 0x7e8f314f, 0xa650b665, 0x384dc412, 0x37230bcd,
+    0x7eea1a39, 0x1fc79264, 0xf8fd6b5d, 0x2eb3829a, 0x3b2666a8, 0xdbfd699d, 0xc3b4e686, 0xc54b5822,
+    0x7511e309, 0x88aed099, 0x0e452d8f, 0x2d0938ac, 0x508696f0, 0x5c9fb9c1, 0x89218a81, 0xddad4af9,
+    0xef964359, 0x2c36ff5c, 0xe0ce08c3, 0x47def18f, 0xe93aa4a0, 0x3a0803c5, 0xaf8112e3, 0x59a0dcdb,
+    0xba60cdb8, 0x4253312d, 0xe4b4edf2, 0xbdde5766, 0x4c428686, 0x7d2480f9, 0xee6d1854, 0x4e7fcc28,
+    0xd56fc9e0, 0x75fd200d, 0xe60481fb, 0x6710dcb5, 0x0a37b6f5, 0x7c6712bb, 0xcf8419ab, 0x366baeb0,
+    0xedb4533c, 0x921364b7, 0x0a01b344, 0xd567ccc1, 0x5be22bc4, 0x0f49d1d6, 0x0f47b375, 0x72b26830,
+    0x828d80e5, 0x356c63d8, 0x7bb64d62, 0x6f3632de, 0x9837abec, 0x26d5a882, 0xc0579d51, 0x6df529a7,
+    0xd0fd65c0, 0x240ceca4, 0x5b6bf4d0, 0x071ce153, 0x0a2fb42e, 0xf3378304, 0xa52ebbff, 0xefa18118,
+    0xdb928d5d, 0x13e60265, 0x25fb9e70, 0xaf0a59be, 0x1eee4b93, 0x6dc0bcc1, 0xc58081c7, 0x3cc99432,
+    0x4b30c5c9, 0x764a728c, 0x1933ebac, 0xd20a81f6, 0xe0e4229e, 0x042af15c, 0x1ac72605, 0x532031d7,
+    0xd4dc103f, 0x7567d626, 0x387d53bf, 0xdae4b9b4, 0xb694bf24, 0xc63b3c02, 0xd515085a, 0xe43dc19b,
+    0xae58f4d5, 0xbc67d9a3, 0xe6b022cf, 0x1d50f163, 0x2a215b92, 0xb8a172fe, 0xda19abde, 0x2d306ba2,
+    0x297f26a2, 0x7c214a96, 0xd8ea8aa2, 0xf2d0c450, 0x2cc35728, 0xe8948a9f, 0x1a95029a, 0xdfa2126c,
+    0xeb07e10e, 0x443be2d6, 0xb6ef90f8, 0x901d3b83, 0x3dfb812e, 0x00995bf3, 0x2b491505, 0x6c586c8d,
+    0x9a6405da, 0x6d506e44, 0x2ab5c748, 0xd0eb4772, 0x9ec87314, 0x07485012, 0x5857f56b, 0x89a162cf,
+    0x821f718f, 0x505b5afd, 0xf2d4a3ce, 0xdc7952af, 0x8459538b, 0x9deb3127, 0x1155d1cd, 0x90601f1a,
+    0x20ba0fa8, 0xf825dc0b, 0xee02621b, 0x30d91e92, 0x71803aa7, 0x21da595e, 0xa43bb1fd, 0xf9288cf8,
+    0x05262609, 0xaf259c39, 0xcc8fbe3c, 0xeb502a0d, 0x498691b2, 0x72124e3f, 0xcca94ad8, 0x386f40b5,
+    0xad7cb851, 0xc70c4e36, 0x6989a71f, 0x5766e0b4, 0x235e2ed8, 0xb8867d09, 0x6748643c, 0x2797c6d8,
+    0x0c5fed56, 0x210b2fe7, 0x8a71947c, 0x9bfeac63, 0xc390dd2f, 0x2cc82eed, 0xc30130d7, 0x1528bbed,
+    0x46af8eb0, 0x09f39232, 0xddbace50, 0x561a1aa4, 0x16704bf3, 0x195ef6b4, 0xfb9fa266, 0xe4a90a37,
+    0x7d92e25d, 0xe1046765, 0x67931494, 0x193586af, 0xc74d53da, 0xa776b3cf, 0xc205f0c2, 0x7ff9a655,
+    0xe92b78bb, 0x358204a4, 0xaf142b4c, 0x8b50fcb1, 0xc3280fcc, 0x5f2cfea8, 0xa21d727a, 0xbcaf2883,
+    0xba0bac95, 0x4866d7ca, 0xd500190d, 0x5bc311be, 0xf04cb047, 0x46d9ea65, 0x7a2ab9f3, 0x5c4e843e,
+    0xd5ba5fa1, 0xbb52ee71, 0xdda0d324, 0x8583c4ca, 0x67eca71c, 0xe7bc4bb8, 0x36da0f76, 0x2489af68,
+    0x379e5d2a, 0xb51b4c70, 0xbf8af111, 0xa3ff24d2, 0x53b713eb, 0xfa60d1d6, 0xb30ac6c7, 0xcd09f87b,
+    0x642d276d, 0x836f2267, 0xe6994952, 0xee44426c, 0xc11525bb, 0x17fcacd4, 0x58a57e87, 0xc0ed9013,
+    0x061b538b, 0x50734aa6, 0xdb935d23, 0xa3968542, 0x10b92423, 0x40866af9, 0x89f2b536, 0xc2c0d060,
+    0xb037db9f, 0x161947bf, 0x59602352, 0xbb1ce742, 0xc5307629, 0xea72ae67, 0x7eb7f166, 0x2287d938,
+    0x75ee5477, 0x674ca4e2, 0x61033c9a, 0x8d666110, 0x51d2756c, 0xdfe26d0f, 0x5401d6fd, 0x9c079513,
+    0xafe39a83, 0x08fd94c2, 0x370399e5, 0x168af253, 0x3edc8ac0, 0x15425cb6, 0x5a230eb5, 0xeef097a8,
+    0xc68ad9cf, 0x8d582a8f, 0xd39aa65b, 0xac42faab, 0x47a87d0b, 0x61582ec2, 0x965073e6, 0x11290ce9,
+    0xdf09016f, 0x652f757c, 0x9b45c1f3, 0x35752795, 0xe19722ca, 0xf68c25e0, 0x20fe6405, 0x2f768a06,
+    0x5bc5b98a, 0xd856f812, 0xd4560106, 0xa423fa1b, 0x1e846983, 0x3535a866, 0x84c93720, 0x1e3c08d2,
+    0xb5e4ae69, 0x7186cc38, 0x809419ce, 0xe79ce25b, 0x014f7cc7, 0x670c3477, 0x6bcc0dce, 0xb69a0c52,
+    0xc6669a98, 0xa65258b2, 0xae26a0a3, 0xaba723f8, 0xc4377cdd, 0xe0f73d3b, 0xda3f4e9a, 0x178c65b1,
+    0xc9960baf, 0xb25a9e4f, 0x8d422a58, 0xa2d00a11, 0xb9632ec4, 0xd321e99c, 0x2829c354, 0x4a20798a,
+    0xdd73dfe1, 0x8f223aaa, 0x9d3edab5, 0xac06e3d2, 0x8ecdcd14, 0x232a966f, 0x126eb7f8, 0x9b1b5fbb,
+    0x9808494e, 0x0a5eb916, 0x3466afdb, 0x951c1155, 0xdd3212ba, 0x99fc0ad0, 0x23463ec0, 0x74c42ae2,
+    0x325ea3ec, 0xdff0396e, 0xb39fe5bd, 0x0021f7ec, 0xa7c81313, 0xdac15db1, 0x70bab0ea, 0xfaa42aef,
+    0x2cd4aa8b, 0x0a379faf, 0x0ca7f7be, 0x2b83b423, 0x75842ded, 0x0324620e, 0xc3e9c1a0, 0xde8fffe2,
+    0x1b30360c, 0x0a56a061, 0x1fefdfd4, 0xfaeb339b, 0xb6554fc5, 0xdb100c5e, 0x58f9a372, 0xc53abce7,
+    0xb58d0d5f, 0xf2f83f8a, 0x1f86ad40, 0x7371b95f, 0x2e2666e8, 0x5e4c98de, 0x2e3f4baf, 0xb6b007e9,
+    0x238b2173, 0xcf04a994, 0x30a7307f, 0xa8224e25, 0xd2143f9b, 0x29530d36, 0xf5b5a9b8, 0x6f02ede1,
+    0x7c709291, 0x22592ba1, 0xc344afd3, 0x5bb5f7b3, 0x13235477, 0x7ad0b931, 0x93838726, 0x918ad291,
+    0x55863e0e, 0x28e42711, 0xc85d23fd, 0x8a25d403, 0xd60b192c, 0x29b3dfcd, 0xf1e24684, 0x46ffc671,
+    0x38303acb, 0xa7c79bf7, 0x763092bf, 0x2a83dc0f, 0xc90a42ea, 0x50de19e0, 0x9d0d8c36, 0xa66f6002,
+    0x9e616cb5, 0x38572504, 0xbfe88ce4, 0xd0d896b3, 0x48520f46, 0x41adb60f, 0x1c375901, 0xe5568d78,
+    0x75acd167, 0x58aa046c, 0x3f34b53e, 0x93a45806, 0x3bcde88c, 0xe3b8cccb, 0x14fb9c23, 0x397642d5,
+    0xcaecf7b2, 0x6e48a044, 0x5e3ba3f0, 0x54abb94e, 0x59a105c2, 0xd7a1e4b7, 0xe353d17f, 0xbc328d39,
+    0xa788a3a3, 0xc542a7b4, 0xbef67061, 0x5256ebbb, 0xd8f5662f, 0x06b0e0e9, 0xc2c5bf28, 0x53666d41,
+    0x7c3f9533, 0xb05fed84, 0x6016148c, 0x0c17a844, 0xcf6061fa, 0xee5dd3bd, 0x3311859c, 0x71ced192,
+    0xc102bcd8, 0x10dfc395, 0x7c427f2a, 0x800469a7, 0xd258e527, 0xb369a0d0, 0x8783bf06, 0x721dc95e,
+    0x8facf32c, 0x332be57a, 0x2978ac33, 0x5564702a, 0x078b48b4, 0xc0efbe44, 0x8b9632d7, 0xf23e34fa,
+    0xcd92cad5, 0x1a275f54, 0x895d8ac2, 0x73bea721, 0x7ad955ef, 0x284657ff, 0x347043ec, 0x89c90a17,
+    0xb188e755, 0x0fd19771, 0xc9c63b2b, 0x28e640c7, 0xef5c106e, 0x1adf2b9f, 0x3805f951, 0x4f62cebb,
+    0x569397a7, 0x003ccdab, 0xc488a7a9, 0x1d24ba53, 0x0c392f56, 0x0a27e883, 0x9fcf3dcb, 0xbb46c530,
+    0x1e544fc9, 0x1387b953, 0x8afc92ba, 0xe8ca92f0, 0x2ae85e81, 0x0aae64d0, 0xa89bd88d, 0xd36a6380,
+    0x9de8bafa, 0x64be665b, 0xdc07da00, 0xdae57410, 0xb3aa6915, 0xbc42b97f, 0xa64450eb, 0x1b24884c,
+    0xa606082a, 0x820d7415, 0x9398adb3, 0xa484001d, 0x703f267a, 0xb815006f, 0x5a24910a, 0xcd078b50,
+    0xfec4ada2, 0x030d2e2e, 0xe2c54666, 0xd2ddd47a, 0xaa88b6b7, 0xbe8ea8fc, 0x4f088ef3, 0x1ede4ad7,
+    0x02f801bc, 0xc36bd2e4, 0x76fc43b3, 0x6e1de991, 0x1f84bd0a, 0x18988c3b, 0x1e743f46, 0x26a5cea0,
+    0x73389d9c, 0xba2fa4f6, 0x4e44f21e, 0x8816832a, 0xb8c97a35, 0x0041ea12, 0xb5cbed65, 0x904db9e8,
+    0x254086af, 0xe45dba38, 0x15cb1aa5, 0xec8b33b8, 0x28fac01d, 0x6598ea91, 0x671350b3, 0xaec0c9ed,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000001298074214633706907132624082305024 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db6a, 0x04805927,
+    0x00000000,
+    0x86852d9d, 0x7c761306, 0x4989d267, 0x181bc493, 0x828862a2, 0xc0c3a7c0, 0xda608734, 0x23ec2acf,
+    0xca480fd2, 0x98338c08, 0x1d3e37b8, 0x650170ad, 0x60af8643, 0x63ea4620, 0x1bd66e9d, 0x66448599,
+    0xfe410695, 0x24aa8158, 0xb1153eae, 0xe303119f, 0x02bac934, 0x99eb25fa, 0x7b29ae58, 0x2c383b93,
+    0x96d4b623, 0x5fac603e, 0x632238ef, 0x2149866a, 0xa8a06931, 0x7d5ec575, 0x363c10eb, 0x5da24e41,
+    0x42628ab8, 0xafe65267, 0xc9d9ea7a, 0x73280208, 0x9ad39a52, 0x76d6331c, 0xc48f56a0, 0xd63a51e7,
+    0x6e878631, 0x91826765, 0x1e2b61fd, 0x1f8ce018, 0x7533176f, 0x65aac366, 0xa9ab437c, 0x3f13dc7f,
+    0x8392f787, 0xc5a92987, 0xc0259b4e, 0xb02e8a23, 0x6a2709fa, 0x101ab6ed, 0xf78a28d8, 0x7a3c2cc0,
+    0x713fd792, 0x636ed562, 0x2623e5f0, 0x639e829c, 0x1e93932f, 0xe41aac8b, 0x76ed24d4, 0xe7f1bf67,
+    0x46756524, 0x8e3892d9, 0xbc130d80, 0x2d69edb1, 0xc693423d, 0x47db8e17, 0x230af348, 0x9210655f,
+    0xa01a0582, 0xedaeb260, 0xed122b8c, 0x666fdd1f, 0xa84f21b0, 0xaa3ae5f4, 0x01cdda62, 0x8e89b7fb,
+    0xc4880e59, 0xfd2ba9bc, 0x888fbfda, 0xa9999e1a, 0x8ee06dc0, 0xb510ae96, 0x2becd90a, 0xb990dc28,
+    0xbd215060, 0x601d2362, 0x842a56c1, 0x0cada253, 0xe7ae2df4, 0xce20605b, 0xd7b1ed2f, 0xcfccd92b,
+    0xd0e6fe79, 0xf1ef0bfa, 0xa8e26988, 0xdaa7ad9e, 0x40f03f04, 0xef0fd401, 0x5e1a4014, 0x560bfbbb,
+    0x10c5760b, 0xc4823450, 0x51d9b24f, 0xf98f6a6c, 0x327c0ca1, 0x569da8e2, 0x0ece2dee, 0xad37cf3d,
+    0x7ddf1dd2, 0x8d2fd242, 0x6b7ca03c, 0xc1308ccb, 0x746ef525, 0x8b674f69, 0x69888015, 0xc7a775e5,
+    0x358c2a74, 0x066ea39a, 0x37812c49, 0x303d6eed, 0xf88e1b63, 0x8813ea8c, 0x4fb74048, 0x683871dd,
+    0x9d84bc68, 0xf06ff4ec, 0xf75c14cc, 0x3d0f5c06, 0x20ac8060, 0x6afdfa76, 0x8a6ad012, 0xf26db10c,
+    0x7d000736, 0x626dcc6d, 0x8f3f7fb2, 0xfb1c17a9, 0x7429a8b0, 0x48c3929e, 0x7de84977, 0xf933be5c,
+    0xee8fdf70, 0xf834d20e, 0x3730cb9f, 0xc2481193, 0x8c181bf8, 0xc0c17ac6, 0x83b4d63b, 0x5255f51c,
+    0x9da5ca8e, 0xb2fe336c, 0x089bc775, 0xbadb226e, 0xd5eb0f6f, 0x487223d0, 0xcbafec65, 0xa358f5f3,
+    0x8bf5deb1, 0xc6384477, 0xe3d0ce70, 0xb8f3d8ac, 0x2752adca, 0xece652d2, 0x2d86a4a4, 0x0a04cd1a,
+    0x1d2d65c9, 0x4d5725e0, 0x0038f1f3, 0x97853c10, 0xed023730, 0x34d4c196, 0xab5a5361, 0xe17e9770,
+    0x1507ffae, 0x75b42a1a, 0x133f01b4, 0x952fa173, 0x9fd26606, 0x458f0c82, 0xbd4cb365, 0x7dcb7c04,
+    0x7f5a236b, 0x69a5cf66, 0x0ff0b9e5, 0xd6f88bf5, 0x8ee6ee31, 0x7de3cab6, 0x7621c51d, 0x33da6ca2,
+    0x70b0e157, 0x13adddb4, 0xd88488fe, 0x46eb910d, 0xef6fac85, 0xe0d5e781, 0x272982fd, 0x62caa478,
+    0x0ea1f1f1, 0x7056bc6a, 0x88ef2511, 0x541ae9f3, 0xf9ecbd91, 0x59e00c1c, 0x1de84801, 0xb278162a,
+    0x9bb0eb2f, 0x4878c73b, 0xc5a70fb6, 0x0417f0f2, 0xc855bb04, 0xc334b0a8, 0xe6f4d2cb, 0x18e7efca,
+    0xbec36e9e, 0xe3be4a7c, 0x310238b4, 0x2aa839a5, 0xcb76b7bf, 0xc7b5b6f0, 0xfbe9b720, 0xe6ddf1d0,
+    0x9896e0bc, 0x87e8533e, 0x134482e2, 0x9d9cbbcb, 0xf5fc58c5, 0x86a05029, 0x46c7795c, 0x3d7bc14f,
+    0xb5ead183, 0x06785696, 0xc492f006, 0x714deb4a, 0x4c8c1b76, 0xe4bef8d4, 0x4eb42cd3, 0x57227cf0,
+    0xfe98ecf7, 0x890ffe1f, 0x3b8bc824, 0x6f73faa8, 0xf22fd78d, 0xfdb2c9f0, 0x243a7b67, 0xc96e2224,
+    0x35c8fe70, 0xa082c42b, 0xffef1837, 0x7d5d0331, 0x631bfe75, 0xed660467, 0x7e75ea77, 0x34ff44f3,
+    0x3450427c, 0x47ef46a8, 0x923c201a, 0x0936e72d, 0xad526e98, 0x11ca9b60, 0xcb02e7c4, 0xc136e653,
+    0xb0d43c19, 0x2cd20105, 0xeda3d3b5, 0xf88b766c, 0x8935ecdd, 0x8df8d8bb, 0x1d01f3e2, 0xafb46cb4,
+    0x060767d9, 0x15bcc0e6, 0x937c34a9, 0x0d14f024, 0x60c779ee, 0x12cc7f31, 0x947b936e, 0x6760bdf5,
+    0x35b6085a, 0x59cdd9d2, 0x7f6cd6d3, 0x9c8ad5b0, 0xabcb9c1e, 0x2dd92e80, 0xa57ce523, 0x31f60e88,
+    0x847ce7d6, 0x6d2cf5ba, 0xf1a8fae8, 0x4a12075d, 0x607ea68c, 0x4a1e4fe3, 0x23a311e6, 0xbd343e6b,
+    0xea3e8807, 0x99a86314, 0x37ccb07f, 0x2dd9dc3e, 0xe4e83760, 0xd45de42f, 0x61eb702e, 0x189ea5c7,
+    0x70175e40, 0x927211fa, 0xc125b266, 0x0a4db8fc, 0x114ea3f9, 0x8b72382f, 0xc00df643, 0x699ea61b,
+    0x4985c5f5, 0x6a1378e2, 0x5230d01f, 0x74f0f51b, 0x67df7606, 0xcc6cb0a0, 0x3c7fe46b, 0x3358acc2,
+    0x76d10a23, 0xcf51312f, 0x35b319ed, 0x2c894b0b, 0x3fb91153, 0x50ec679f, 0x1c9ea310, 0xe10161eb,
+    0xcd94dcc8, 0x6c41070a, 0xaece8920, 0x8b52adbf, 0x12f9e0dd, 0x57f81bc7, 0x2cb2ab42, 0x225992d3,
+    0xfc15a6b2, 0x4628d66d, 0x0cfb545f, 0x5b1360bb, 0xac7838f8, 0x5441d642, 0xcf373683, 0xe9451f2d,
+    0x5fce0cb0, 0x533566ae, 0x8d07ab75, 0xe940e6a5, 0xe545664f, 0x733d21e2, 0xf6b4c56a, 0x5dd349fe,
+    0x4092c632, 0x26cf8dc7, 0x8a98ea73, 0x410b0407, 0x72632c9b, 0x6aef1969, 0x1a9561a3, 0xc368ae09,
+    0xdd980e08, 0x54bb27ef, 0x00200d1e, 0xb92e72f7, 0x6c94d6e7, 0x0d52bf20, 0x87e2cf0d, 0xab0ac5b9,
+    0x2cfe5c53, 0x325749fa, 0x000e6df1, 0x3fb12d0a, 0x8264bc29, 0xa0ffcced, 0x0e4b21e0, 0x7e001e32,
+    0x03d11932, 0x6c16e43e, 0x3a9d11f3, 0xb94d32aa, 0x085945eb, 0x858db538, 0x9fb43a1f, 0x4dca93ff,
+    0x36909142, 0xf66c06a3, 0x31e0ed37, 0x1f63cfc4, 0xf6cdc64f, 0x7cffea7f, 0x893209f6, 0x875f4189,
+    0xdf494df5, 0x3e4dac02, 0xf8359bfc, 0xea837cef, 0x922fb0b8, 0x08f24f51, 0xbb46e536, 0x6ac453b0,
+    0xd871e3de, 0x64473978, 0xb974c6ad, 0xf1641005, 0x75f25b60, 0x97bcbc81, 0xd5252a19, 0x88ffe3a3,
+    0x4332db2a, 0xa1b82b4a, 0xc4b2d2d0, 0x3114edf4, 0x4982ab97, 0x3dd5cb7c, 0xcf00e787, 0x3da2c548,
+    0x37a68136, 0x7745c263, 0x6a0fcf9a, 0x4723d25a, 0x2489b3cc, 0xbe20df73, 0x962d671c, 0xf9814ca6,
+    0x129ab6ab, 0x6046d868, 0x84c6ad14, 0x4c962454, 0xbaa00f9e, 0xa3ae8347, 0x6353cbbe, 0x48564f3d,
+    0xec6ba91d, 0xc829a196, 0xd08a9e82, 0xbe2f5826, 0xd27dc39f, 0x76d1afdd, 0x8330e2cb, 0xdadec4ef,
+    0x60a79c7b, 0x64b5f635, 0xb5a84e68, 0xa8fd1bb1, 0xcbb4e7fa, 0xeadb7f15, 0x43198e0f, 0x81d10dbe,
+    0x726b4f0b, 0xf0b95f9f, 0x69105ccd, 0x58c4d706, 0xd13c84e2, 0x415c6e14, 0x849d1032, 0xcc69bac3,
+    0x4e8e160c, 0x3c8f08ce, 0x0e598bbd, 0xf999adbf, 0xdfde7c14, 0x80aa7197, 0x7ee061c4, 0xcb28f111,
+    0x5104544f, 0xd9690248, 0x18bcb41f, 0xff32d06e, 0x361f86a1, 0x6dc56f79, 0x90d55bfa, 0x37abf8c1,
+    0x13490f68, 0x8a4e25c7, 0x2dfb21db, 0xa1fb2518, 0xa2302220, 0xe821d7c3, 0xf8a7e48b, 0xada7dce5,
+    0xa1ee7901, 0x9f10308a, 0x439c626c, 0x9bae524c, 0xb59cab2c, 0x9c521bd8, 0xd36a52dd, 0x66b7fe6b,
+    0xa32e67cb, 0xb692de8a, 0x7c89d9be, 0x8da3651f, 0xf51cbb83, 0x2050656b, 0x416b798c, 0xcc9c3802,
+    0x318219c9, 0x8a2b2413, 0xa8dcdbb8, 0x95471a96, 0xa2445b32, 0x0f0d05b3, 0xfb3ed014, 0x846957b4,
+    0x1a4e6348, 0xb90a6d7f, 0x441b58be, 0x290f63ed, 0x5824ed31, 0xeaf930f1, 0x8e32996c, 0xf3394c2d,
+    0xa4c9e5b1, 0xfbb2d79d, 0xc805961a, 0x9acc394e, 0x8c4b0c84, 0x6301ca0c, 0x97b42067, 0xaa154c49,
+    0xfd5ae5f2, 0xa86d39a1, 0x17c08abb, 0xa01e3385, 0xe3fad5f5, 0x44e8634c, 0xd461497e, 0xe6b4cd0a,
+    0x43158b1e, 0x78a10031, 0x52ebb217, 0x82b60791, 0xff88d107, 0x99ecf7c7, 0x933f9a49, 0x0bd0aa3d,
+    0x34165a8b, 0xce11f08c, 0x536f4c11, 0xd364d54b, 0xb9e43238, 0x165866ee, 0xa228778b, 0x611be0a3,
+    0xcd937479, 0xb45b9a5f, 0xe7a5d60b, 0x3af92e45, 0xb653071d, 0x6d0ed415, 0xaf8b0fec, 0xb4d11048,
+    0x54ecb32e, 0x908c3c66, 0x402a7886, 0xe02e8b27, 0x58d72d09, 0x53d6e9bb, 0xc1a6e65c, 0x85b02134,
+    0xd3bd4755, 0x4ddbd322, 0x484b614f, 0x20d2d899, 0xf61903f0, 0xb5664841, 0xc33e75ca, 0xb985aedf,
+    0xee041193, 0x477607f5, 0xe0fe908e, 0xd24835ab, 0x37fdfca1, 0x2e014e5e, 0xf7381b94, 0x09b57ade,
+    0xb16c32d8, 0x8bb23c69, 0xbf0b6885, 0x7d8677eb, 0xb8a14782, 0x9c1d4e20, 0x3bd041b9, 0x97da93ac,
+    0xdf7506f4, 0xe16b2c25, 0xfd4ea039, 0x43391439, 0xc624e8f8, 0xcf56d3c4, 0xfbd0a371, 0xb31f5dd0,
+    0x156e6142, 0x70a17da0, 0xcea000f3, 0xaf874d7a, 0x2dac59dc, 0xecfa192c, 0xeae7c393, 0xd8c3c547,
+    0xc23722ac, 0x831058a2, 0x7977b0c3, 0x2ff84366, 0x4762e267, 0x1ec99c3c, 0x3e4e345e, 0x0f9c269c,
+    0x58799172, 0x2580fb0c, 0x564795f2, 0x50b77d33, 0xe0265b1a, 0x1675200b, 0x430b4651, 0x29bcebdb,
+    0x373e7186, 0x1e31fbf0, 0x91cd6504, 0x095675cf, 0x020d0c4d, 0x13e0e161, 0xc634b61c, 0xd0c5d40e,
+    0x17f51fcb, 0xeb9fc5f9, 0x79c57ac4, 0xe5e987ca, 0x159e9259, 0x06c79586, 0x3ed56e97, 0x6acaead0,
+    0x7b04b848, 0x97b6a481, 0xe8a70e02, 0x7b75e9f8, 0x4686a9e5, 0xcbed27c4, 0xbdd66744, 0x68c43cda,
+    0xead543ac, 0x134a46c3, 0x3d6940a0, 0x8728635a, 0xc179a092, 0xdf685253, 0xf4d33bf4, 0x6f756090,
+    0x557c2436, 0x1bc45602, 0xb2037778, 0xb246b8c7, 0x1a0342f5, 0xadab420e, 0x4d2798dd, 0x51e8c529,
+    0x376f17a0, 0x9be85f8e, 0x4077a49e, 0x05d2f2ae, 0xa15753b4, 0x3e7cb9f0, 0x650fea9c, 0xff800f01,
+    0x814afb38, 0xbda822b4, 0x8ac11c93, 0x02cc2055, 0x3356b6e4, 0x1d3fda6a, 0x8c09e713, 0x8f6c44ea,
+    0x5da3d4ea, 0xaae31999, 0x7530c59c, 0xab16bd1e, 0x27a8d00e, 0xaca0418e, 0x694b3c55, 0x873b6cb6,
+    0x4baaead7, 0x76f207f9, 0xc85013ee, 0x37b67415, 0xef383604, 0xe65be1b1, 0xdc96c8ec, 0xed4e1a50,
+    0x840e18e4, 0x9f61bd7e, 0x506f2c63, 0x533284ab, 0xe7f32b42, 0x520a2260, 0xe9d27995, 0x19d98638,
+    0xc24506b6, 0x4752e826, 0x5bfcb6e9, 0x063deff7, 0x2c2c2ca0, 0x5d4cd9ad, 0x8fed3593, 0x53e75321,
+    0x5d562109, 0x1a356501, 0x6e7480c9, 0xcdd8e012, 0x67664e01, 0x07ff1e18, 0x0afe48e3, 0xa2db38a8,
+    0xdf911cc5, 0x049754f7, 0x815a50a1, 0xd185c5a7, 0xacad88dc, 0x4e9315cd, 0xe5c40726, 0x37519bd5,
+    0x5e4af349, 0x33cd3d4f, 0x14acfce8, 0x3a1f4592, 0x75c0fe9b, 0xd6362062, 0x138406d7, 0x989bfa53,
+    0x3959811a, 0x31606f22, 0x3192914d, 0xddf1269f, 0x89785414, 0x3ee75f02, 0xecab5c64, 0xd4fcf8fb,
+    0x0201aaa2, 0xd8b3cdcd, 0x2b95d024, 0x1f435ca0, 0x709e5dd1, 0xd3a024a0, 0xb63fde4d, 0x4ed31e02,
+    0x7f1b5b44, 0xb918d4b6, 0xf7faeb6f, 0x71a374b1, 0x702f07f5, 0x24e0cebc, 0xe51c6c76, 0xba5197d4,
+    0xdf315c0c, 0x9108ed90, 0x92593415, 0x5e6ce3c3, 0x5e521548, 0xb3661ef2, 0x3f5ced81, 0xe70230c6,
+    0x5c8481bf, 0x3ef2a6a9, 0xe959d211, 0x98b1b24a, 0xfacc99db, 0xe8092b3d, 0x10d42c28, 0x68b405e1,
+    0x2107c0c1, 0x05704f8d, 0x1fd35a75, 0x26b62ed1, 0x1f8267fb, 0x6bb25580, 0x8bf3b69e, 0xf82d37b3,
+    0x438d14b9, 0xbcfd0e5b, 0xe37d7654, 0xe09e8bcb, 0x8b5b8ce8, 0x24a105d9, 0x96819f2d, 0xfea3d9c9,
+    0xf2fe98fc, 0x9e26feb3, 0xf97fbe13, 0xce526212, 0x6bd06078, 0xfc035748, 0x200dec5b, 0x4f74df8b,
+    0xd0803122, 0xa6bcafe4, 0xf7f07807, 0xe26a6e77, 0x9bfe5f87, 0x756de4f3, 0x8b1a55fc, 0x0f01bf25,
+    0xae4c9a77, 0x8d713eb6, 0xe3f840a1, 0x887c3728, 0x6376aa8c, 0xf6606672, 0xc2096388, 0x93fe2210,
+    0x76aee4f6, 0xe9f915a2, 0x5a19643a, 0xb8eae13c, 0x9dfbd2e4, 0x0d883217, 0xe6661341, 0x6ab37ca1,
+    0x08359e8f, 0xf76b2e01, 0x7af85b26, 0x1d165106, 0xe059fc97, 0xb19b4ad9, 0x04673904, 0xcf9add23,
+    0x639c688a, 0x097e7e6a, 0x28bad58b, 0x2eba81e1, 0x98ec32d1, 0x5f6fe14d, 0xe0ac76c9, 0x01b8b084,
+    0x1e0a956b, 0xd7a74965, 0x2c195b45, 0x481c9817, 0x80179828, 0x25f5ce49, 0x4700c7b0, 0x69449edf,
+    0x0102409f, 0x5f846697, 0x7f12a233, 0x7eff49d2, 0x56a5e12f, 0xdf02c0a7, 0x0d18a189, 0xddeb381c,
+    0x7b2bf920, 0x4b9b8bd3, 0x4b7ec5cc, 0xab728a78, 0x13b8271e, 0xb514cdd3, 0xe4f3e822, 0x8a35c934,
+    0xeb615908, 0x2919ff79, 0x08e3dd6e, 0x0485f5c8, 0x830f326d, 0xcce5f4ec, 0xad7f0d1b, 0x87502312,
+    0x13ce110a, 0xc48cfd39, 0xb7ca732a, 0x9c75fee3, 0xcb276a68, 0xa8093a68, 0xe16db72d, 0xf754022b,
+    0x31ef315d, 0x49ef19c7, 0xb09b426c, 0xabfa3b67, 0x297a02bc, 0xeca3ef74, 0xa6da6319, 0x67daf54c,
+    0xbafbf5fe, 0x3ec9b863, 0x27444811, 0xf617c3c2, 0xe5c7285b, 0x1b33e0a0, 0x209f1022, 0x31bb5697,
+    0x81242da9, 0x05b94d45, 0x94e0b224, 0xb66bc2a9, 0x82645863, 0x0992e7f2, 0x571c6971, 0x5e3d4110,
+    0xbb10fb1f, 0x9ee3ca86, 0x31261b0d, 0x9b45e702, 0xfb8dafef, 0xd4dd1d18, 0x0cb81c04, 0xd5acb2ba,
+    0x45f7ba5e, 0x08fa3fa4, 0x2e9780f9, 0x2f0a6fdb, 0x12c7524f, 0xabc744f0, 0xbb6bcc17, 0xb2091d06,
+    0xae086b03, 0x13a4c78e, 0xebdda66d, 0x3c7f5418, 0x4aaf7979, 0xb9a47038, 0xd23def30, 0x21a05005,
+    0x1dcded32, 0x1e48ee0a, 0xde7a6447, 0xa8cffe7a, 0xbc61ca59, 0x61d4ae8a, 0xf800a874, 0x765eaf89,
+    0x8c171fd6, 0x597bafae, 0x0aba0497, 0x536c9e70, 0x1b3a7ccb, 0xb6861e6f, 0xf77ab2b6, 0xb979cce2,
+    0xededd080, 0xad15cbff, 0x0abab5b5, 0x39800901, 0x8a948803, 0x50c64063, 0x7b076779, 0x6cb1d613,
+    0xc494c491, 0x0c1d45a0, 0x4e028024, 0xb1649dfa, 0xa4c3c78d, 0xc43c43ae, 0x735f27b4, 0x5a920581,
+    0x5bef9249, 0x4cfaf286, 0xc4d72301, 0x1cc61244, 0xc1959d4d, 0x57b86ff9, 0x9f909204, 0xe4e68873,
+    0x6003d36c, 0x5d22d8f2, 0xb97da6a6, 0x2f00e6e8, 0xc4f36f87, 0x66a9774c, 0x52fcb626, 0xef4f5bf1,
+    0x4001441f, 0x10f6cf0c, 0xa6cc40fb, 0xc78b1c84, 0x20a3e7ee, 0xee1a8083, 0x33b9eb49, 0x604c6995,
+    0x12299b43, 0xfd9b75ad, 0x842dcec5, 0xc5bba78a, 0xb69c264e, 0x69ad4c40, 0xdcca81c1, 0xae3855c7,
+    0xcdba4ff0, 0x81285291, 0x849e0f0a, 0x44047a49, 0x55320052, 0xe43afc2f, 0xbe2d77df, 0x42c52264,
+    0xecf04f31, 0x78f50072, 0x4894dd35, 0xbc2b21c3, 0x46985fd8, 0xaa46abf8, 0xdb827f89, 0x44676e1b,
+    0x092c0750, 0x7423903e, 0x62cace3d, 0xe0e4224f, 0x92aad246, 0x56492581, 0x1d1f56b8, 0x08f691f4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000649037107316853453566312041152512 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db5, 0x02402c93,
+    0x00000000,
+    0x8338391e, 0xfa126403, 0x8cc9a4ed, 0xdf7e2859, 0x847f3867, 0xabf8ce07, 0x9cb993c1, 0x486a5388,
+    0x8b469f0f, 0x5ab46a19, 0xb508fa02, 0x48b7cf33, 0x6b7505b5, 0xe377fe6d, 0xb7596bc1, 0xaebebd1f,
+    0x63aac08c, 0x4a8c3643, 0x8bf187d7, 0xf0c1671a, 0xa9236e84, 0x9232e400, 0xb71149f2, 0x9daeace8,
+    0x39e52149, 0x17bedd7e, 0x77b2447a, 0x42de2706, 0x5b7c3e23, 0x4417cd07, 0xfd042681, 0x64d53f98,
+    0x1d36b3d9, 0x381b3259, 0x404bf46e, 0xfbdb2bef, 0x78d5253e, 0x207c41fb, 0x11b949bc, 0x071893e5,
+    0x928407e4, 0xf1900529, 0x4b537127, 0x193671f1, 0x8bd79f8b, 0x5b0c9bbc, 0x991d86cd, 0xe4e33240,
+    0xc90c2740, 0xdf507e03, 0xa9ad663f, 0xe861b142, 0x135cc01b, 0x987a2db4, 0xaa22d35a, 0xc6fd6e40,
+    0xf18a3dd6, 0x7b30be57, 0x4f4d9bbe, 0x33bcc03f, 0xc44c2045, 0x57c6ef77, 0x31e1e48e, 0xad822e55,
+    0xc5a9b3fc, 0x2dc02a16, 0x9d8d9001, 0x64eaf865, 0xf01e6572, 0x8e4790ab, 0x69bb68ff, 0xbf9008b5,
+    0xf5b37a8c, 0xf92f3c7c, 0x0ae8bbe9, 0x9807dd7d, 0xe5bf08ba, 0x9d334ba5, 0x1516d22d, 0x58d07d7c,
+    0x46510f30, 0x2e169440, 0xc9883e56, 0xc9afcf78, 0x944950ef, 0x287ef8c1, 0x0fab5f07, 0xb51dd047,
+    0x535f4d5c, 0x9d11ab10, 0x661853b1, 0x5d515082, 0x5997c773, 0x3750f2ba, 0x703318a7, 0x7167b816,
+    0x899507c5, 0xc18eafb8, 0x4156a503, 0xf3b39f74, 0xaa988f6d, 0xd2a5735f, 0xd43b69aa, 0xb67d6d48,
+    0xed2de0e4, 0x8f3cda00, 0x4d719526, 0xe0a1001b, 0x4edd9fb8, 0x34c78fa4, 0x34bff75e, 0x8f0a3d56,
+    0x8b53c142, 0x2502761d, 0x083656eb, 0x0f9f5b2b, 0x4f678f7e, 0xd21bd669, 0x181c6141, 0xf7d139f7,
+    0x11c9d0ce, 0xd479aecd, 0x8a28534d, 0xa1ae76c1, 0x6a84b18b, 0x15577071, 0x9023e538, 0x55a1cdc4,
+    0xebcc64fb, 0x41bd34f0, 0x6e4f2eb0, 0x550888e4, 0xdc650351, 0x39b54cc7, 0x4fd72342, 0xa4461c7b,
+    0x15fd8e38, 0x16fd0da8, 0xf8cb1029, 0x5b39cea8, 0x6efe08a6, 0x97b7ac2a, 0xdb792c3b, 0xde9299ea,
+    0x2640ee36, 0xcf17e87f, 0x39005967, 0xff69e4e1, 0x94464362, 0x082a97d4, 0x46a9a5e0, 0xcd0c81a5,
+    0xf632078f, 0x39c6b377, 0xc353b398, 0x80dbf8b4, 0x12acaa7f, 0xaec648ce, 0x38905b3d, 0x9a8c7b7f,
+    0xdf4ee4b5, 0x71e0b5ab, 0x329d11bf, 0x4455b76b, 0x92c48692, 0x1b72f9a9, 0x1f8394f5, 0xae634563,
+    0xfb85a318, 0x8a95c23e, 0x762e5797, 0xe4212b26, 0x7d335584, 0xae8c9e47, 0x8637ab82, 0xa3ba3132,
+    0xa1b8d09e, 0x9b1abde0, 0xfe00fff2, 0x878c22d1, 0x2946e56d, 0x01ae8182, 0x2b29041b, 0x7d81b001,
+    0x5420c41f, 0x92fe16e4, 0xd94349b5, 0xdc142dab, 0xd2465c5e, 0x81117434, 0x5d4f37aa, 0xcf04c893,
+    0x323dda13, 0x7ef6f88f, 0xe54868e7, 0x0d18ffe7, 0x426e1dac, 0xfadf17c7, 0xf8558d0e, 0xc36495d9,
+    0xae8c84e3, 0x9bcd31a2, 0xabbc76e8, 0x9aa3ea60, 0x4a948909, 0xd8a0240c, 0x3c7a93d7, 0x11519dc8,
+    0xe63e6e74, 0xe6d37d22, 0xd2fd24eb, 0x28743bb9, 0xa7ecc806, 0xb46249a6, 0xaa69d67e, 0x307d9512,
+    0x972426bc, 0xb8ed02ea, 0xdfd53221, 0xd6ed7418, 0x99c6b895, 0x6233a705, 0xa408e163, 0xffe12f57,
+    0x8b742fb5, 0x47058301, 0x3d700952, 0xa01fb72e, 0x68095d13, 0x195a3089, 0x22efa311, 0x00d5077f,
+    0x8af34bf1, 0xc528dac6, 0x552e9397, 0x409b88d1, 0x7f6b2ae4, 0x16c2326b, 0x56631eb0, 0xbe2262a7,
+    0xcf870d5c, 0x7f5128cd, 0xd85ed6d3, 0x2ff35ceb, 0x420be97f, 0xabfe211d, 0xafeb3373, 0x329e1258,
+    0x6453ab46, 0xb075ab10, 0x8c1409d1, 0x85feef72, 0x447e8922, 0xfb290339, 0x7aa5aa37, 0x4e218bfc,
+    0xa2aaece4, 0xf12820f3, 0x0ba6c059, 0xff0abf02, 0xab8ef49c, 0xff894b53, 0x132b345b, 0x3838db71,
+    0x3d502e4d, 0x449b866d, 0xc4f11c81, 0xa7cea857, 0xed224f52, 0x0fcdd876, 0x991fb2e0, 0x34e89a2a,
+    0xf1f3bb12, 0x26e89e99, 0x1a2e8b98, 0x3074f96d, 0x06d6a8a8, 0xfbb093d0, 0x6d36ff95, 0x40404903,
+    0x1b54c8b0, 0xbe057d29, 0x30e0bf6f, 0xe3a30367, 0x4b96c350, 0x71248147, 0x88ce8c7a, 0x493ccbae,
+    0x42b13984, 0x3a4af04c, 0x3c5e71d1, 0x637162a8, 0xebad56cf, 0x670a6e1a, 0xbd00d3db, 0x1d7982ae,
+    0xd04c54f2, 0xa6c85563, 0x21116e40, 0xec417a4c, 0x88e5125d, 0x93eccc07, 0x1fd9cfe0, 0x06a1ac7a,
+    0xb1fc4210, 0x9e640a9d, 0x1aed9ae0, 0xd3a1494d, 0x587299da, 0x394aa06d, 0x25bf49e2, 0x4eef4be7,
+    0x3c881238, 0xe21ac51d, 0x3c23ac94, 0x7a7c76e2, 0x751f19b2, 0xdcec0d74, 0x6188d274, 0xa8e9f1db,
+    0x6a781266, 0xbab55f06, 0xf0d953bb, 0x81c86df2, 0x52c2ad44, 0xa2709866, 0xbffa224c, 0xab74356f,
+    0xb090625f, 0xab698ef8, 0xbe1a942d, 0x37671af0, 0xb5979db9, 0x32fef02e, 0xaab152b4, 0xc54fdd88,
+    0x92d5ec1b, 0x6c0190b9, 0xf2d82d5b, 0xa40c3f7c, 0x607e43ca, 0x077adf2d, 0x3ad0387d, 0xf0407553,
+    0x718f4390, 0xc42cca0a, 0x69defed0, 0x3bd80ce9, 0x023ad8d6, 0x936b1e42, 0x7eb279bd, 0xa4db2ec3,
+    0x522da979, 0x106ef734, 0x339981aa, 0x1d209490, 0x7a69e941, 0x62d76b1a, 0xb2b31480, 0x88889b14,
+    0xe9518068, 0x0c024693, 0x866ba5e2, 0x49ae0779, 0xa183dc13, 0x9a1681cb, 0x635449b3, 0x0bb8ad18,
+    0xade76552, 0x7fda702f, 0xfe36a0c4, 0x0cb39ff4, 0x80e5c571, 0xc3e9f12e, 0x5ede4f6f, 0x66d530fd,
+    0xbf2dd21f, 0xfcb68a78, 0x65379b69, 0x46f5b832, 0xc3801706, 0xf4d90330, 0xb48ae75a, 0xb031f32d,
+    0x7cd20206, 0x1cbfebaf, 0xc618e664, 0x5043ad0a, 0xc3dab686, 0x19168e68, 0xcbc97cb7, 0xd11aad55,
+    0x0b4a7782, 0x580b6299, 0x5fefb432, 0x167ab627, 0x048bbdbf, 0x00d9ba8e, 0x9f28cc44, 0xf67313a8,
+    0x7d0afa2a, 0x6fb675ac, 0x58f87c9b, 0x97cf503e, 0xdb5ec45c, 0xa4750420, 0xf51a1e45, 0x4d51f8a8,
+    0x068c64d7, 0x17c483c1, 0x4269d744, 0xbf5cd46a, 0xd9329229, 0x38ef6495, 0x221c0d29, 0x53e71250,
+    0x6c591a57, 0xa0291fc6, 0x20a22b13, 0x3d0b0c97, 0xfd325016, 0xbf57859c, 0x8c1a0fdb, 0xb6b08542,
+    0x6bad9e1e, 0x8f01b2ea, 0x744993bf, 0x5112ee01, 0x3c77d1fe, 0x79f7ae06, 0xd9e1d64c, 0xf2d590d5,
+    0xf3951923, 0x00d55290, 0x45bfab8c, 0xe120819b, 0xefcc9865, 0xd6c70e3c, 0x1f892edf, 0xb8398359,
+    0x98560bd4, 0x8791cfcb, 0xdbaf14e4, 0x7882256a, 0xd612b949, 0x9f88a15f, 0x162fdae6, 0xda652bce,
+    0xb04be194, 0x54c1bda2, 0x2958f36b, 0x08aee083, 0xab6b5b5a, 0x52f1345d, 0xde47be27, 0x72cbd2ab,
+    0x5e0b222e, 0xa6ea4ede, 0x264e2e29, 0x19523e85, 0x94875dec, 0x67d3325a, 0xfc82adef, 0x2c8566fa,
+    0xb42deb27, 0x913e140e, 0x4573262a, 0xdccba39a, 0x6a2305af, 0xc281664d, 0xbe1585e2, 0x0c5dd188,
+    0x9d2a620c, 0xa34c71b0, 0x4163a5d9, 0xda6ce3c3, 0x5011ca43, 0x96eb4b63, 0xef33df5e, 0x89fce300,
+    0x88b53d33, 0xa019d485, 0xa11d6b38, 0xb154ffb1, 0xc4b3ed23, 0xaec29baa, 0x2223c46e, 0x2bae2d32,
+    0x7ff4c86f, 0xe38b0c39, 0xd78b02f1, 0xe4af0240, 0x850cb736, 0xdcd70165, 0xc9d1230e, 0x4525bb67,
+    0xc5a97a79, 0x094dfc25, 0x21688e0f, 0x70b1ce53, 0x8e24b26d, 0x1f991b3d, 0x92a739a7, 0x67160a3f,
+    0x87a47069, 0x18433bb2, 0x1375b479, 0xa32211e4, 0x17568bcf, 0x355acb67, 0x3ec89de6, 0x24e6decb,
+    0xac048822, 0xe7192f41, 0xf2369c52, 0x6ec2f8ef, 0x89254c64, 0x34043bb7, 0x5a2158fc, 0xde5ee2b4,
+    0xaa09e57e, 0xaf0dd534, 0xdb03bda2, 0x4912057c, 0x9c5ef959, 0x214990a7, 0x7de3ac8a, 0x65ecc8ec,
+    0x988ac589, 0x32989210, 0x74f066d1, 0x52f116e8, 0x1f0278da, 0xf896402b, 0xe5d56563, 0xdc5a8abb,
+    0xdcf48c5f, 0x342cd872, 0x10092915, 0x57ed5173, 0x4cc17e62, 0xddcd6cd3, 0x703604a1, 0x812bc097,
+    0x1622ef50, 0xca59e938, 0xdfc18d49, 0x65a7e372, 0x79ad13c5, 0x09f89c4f, 0x1b661867, 0x412c71b4,
+    0x4b0e9080, 0x2cac61ca, 0x4ef58398, 0x780ccd82, 0xe8b757af, 0xcf8fa7e7, 0x7441d532, 0x5c8e0748,
+    0x6e030d2a, 0x73535e90, 0x501ff076, 0x781b0428, 0x57b95557, 0x78989134, 0x9d8ad554, 0xc432e78e,
+    0x103a5977, 0x98968995, 0xae2fc7dd, 0xd78b4097, 0xfd0c2a2a, 0xcd58478d, 0xb7e81f94, 0x1ba349de,
+    0x73d2a052, 0x2d382d63, 0x9e850cb7, 0x0eb86cb9, 0x7edd8ab9, 0x5bf7a83f, 0x06bd68fa, 0x6e3ac66d,
+    0x68d9f819, 0x49575c64, 0x1786f267, 0xad880b35, 0x2ad4fd94, 0x62ad5d3f, 0x7ce443fa, 0xb0374fe1,
+    0x1a86afe5, 0x5720e8db, 0x246adcaf, 0x34c8a91f, 0x62eeeee6, 0xd9302d97, 0xebf343eb, 0xba7bddfb,
+    0xaafd7bae, 0x3366a739, 0x6f32cda6, 0x2a46c0e6, 0xcb868ef8, 0xa5731964, 0x5efb063a, 0xc4373576,
+    0x8c2c0443, 0x69f0749a, 0xa9351ba4, 0xce69bd16, 0x374d5d25, 0xbb04316c, 0xe17a5236, 0x42c15471,
+    0x1562a2e4, 0x049d55c6, 0xaee87e49, 0x43f7aedb, 0x965b5579, 0x19f1b5ca, 0xf84c4066, 0x2c76f55b,
+    0xf5d739d2, 0x33b25225, 0xba10dd5a, 0x36d567ff, 0xf4156e2f, 0xbfb3b785, 0x7ab63108, 0x0f972c5f,
+    0xa9b0f9da, 0x4241c495, 0x96f8cdc5, 0x119b7b67, 0xaaa94ef4, 0x4a190ed2, 0xa08edd06, 0xa9af1996,
+    0xa43bbd03, 0x0ba337da, 0xfb06c930, 0x6e916bf5, 0xc54167d1, 0xa4713de7, 0x89e36c4c, 0xd0e763e7,
+    0xa3f4453d, 0x15889707, 0xc8aedb50, 0xaffd4fea, 0x101e33fd, 0xcf51e0bd, 0x7b97caf9, 0xcf999eb6,
+    0xaef56b86, 0xba4e7b7c, 0xec2746ca, 0x5d6400d0, 0x8dbdf9fc, 0x95ccc649, 0x448c612c, 0x1441282e,
+    0x5f10d227, 0x83e2ed02, 0xecd5a1df, 0xcd908b6b, 0x8023d9ee, 0xed1df4d2, 0xc9c44714, 0xf107c73e,
+    0xb577d60e, 0x6b395f2b, 0xf735db16, 0x5657e556, 0x6d872aa2, 0xe4688eb0, 0x44904d2a, 0xf45a482a,
+    0x005da988, 0xd35415dd, 0xbf828305, 0xd2a6aaa3, 0xe975ae66, 0xfecfea91, 0x852aa238, 0x363fd4e5,
+    0x2974ebc7, 0x8022d090, 0x0c83a501, 0xda1b13d0, 0xbb10c62a, 0xc6c946fe, 0xe2d4878a, 0x12a40a35,
+    0xbf63e245, 0x518da337, 0x1e2644b5, 0x3becebe5, 0xf98e5c00, 0x2a8858db, 0x8a284b4e, 0xc9dd2711,
+    0x7cf27192, 0xce4d800c, 0x54599a65, 0xf85d9131, 0x0dc2047e, 0x190392c8, 0x3d12aa85, 0x3e9f3279,
+    0x0d981cfe, 0xae782ba5, 0xd48d47c5, 0x593ab37c, 0xe85d4fca, 0x42f37918, 0x1cecfbdf, 0x13f654c1,
+    0x5db47800, 0xccb1375c, 0xbd99b85e, 0xa24d2251, 0x2db6de8b, 0xae68c067, 0xf6db5ab9, 0xfd1b9184,
+    0x60b0f4b0, 0xfafe76d5, 0x7c949fc7, 0x7dbcba10, 0x5c7c662f, 0xb7a9c603, 0x77e23173, 0x8e7c3271,
+    0x1aa34d54, 0x14ef4576, 0xaefe6347, 0x01ec2520, 0xbe4b63ee, 0x0660a857, 0x7ed52cfe, 0x56267293,
+    0xabf85603, 0x1f0d4dba, 0x562f7c02, 0xd4e20f34, 0x7d001ada, 0x7d0ceea4, 0x9ae446db, 0x3624ce83,
+    0x1b483fe3, 0x180418a2, 0x6ba13aba, 0x9c82747a, 0x3d137d48, 0xbfb01f6e, 0xb8941b8e, 0x7251ebfe,
+    0x76c0cdd4, 0x6b7b7651, 0x26cc05e7, 0xcd3ce639, 0x6fc4bd59, 0xcbddf6f4, 0x1f8a3adf, 0xea4bbd9d,
+    0x0c773991, 0x0298e2c0, 0xaacf7476, 0x932706d3, 0xcd81eb8f, 0xd3db843b, 0x8e329b1f, 0x3fbe18b5,
+    0xf489b60e, 0x880ad215, 0xfa93e76b, 0x4e498552, 0x5dabb9f1, 0x5c58e2f4, 0xa1a0257f, 0x5c46f8f7,
+    0x29bf9bf4, 0x345dc57a, 0xae27456f, 0x230b5beb, 0x9b67a4a0, 0x2673e5e5, 0xc7ce7565, 0x64d1d2a0,
+    0xdf808792, 0xa5789a75, 0xb1b1f535, 0xb10008ac, 0xb1b90a2a, 0xbb4a5265, 0x5f23372f, 0x09f4d8ee,
+    0x1c3973e3, 0x4f59ee2f, 0xe5b76e46, 0x50eab6fe, 0x949ef2d8, 0x9eaf8773, 0x589c38eb, 0xfe46f00c,
+    0xda120aa7, 0x97cdc5ab, 0x1a591c94, 0xe19e2641, 0xb2b4a6b8, 0x3ccecbd7, 0xde645a51, 0x78d5788a,
+    0xaa54703e, 0x02bc1972, 0x80bc848c, 0x0c1379ea, 0x7e898517, 0x0d8b7563, 0x989edeae, 0x6818f366,
+    0xcb94d2bf, 0xf91d5b41, 0xd5bb0d33, 0xf59c2c73, 0x877757ea, 0xaa0e817c, 0x612e35f8, 0xab4737c2,
+    0x5e1dbd0f, 0x408cbbb2, 0xb8a40be6, 0xd064add3, 0x0c96186a, 0xdb2df723, 0x7d8a8470, 0x2c62f61b,
+    0xec6242e0, 0x67a634ba, 0x98beea7c, 0x80bbbeb8, 0x97ef9c81, 0xbb76650a, 0x4d15dafc, 0x9fdefd06,
+    0x70a95d3e, 0xe757fea5, 0xb2f04756, 0xb0d2c8cd, 0xe6a0a8c3, 0x7944b777, 0x8b6ef911, 0xd0262f1d,
+    0xeafefd13, 0x49f5b759, 0x66fd7b5e, 0xaca07162, 0xb7ee1a07, 0x95f40e85, 0xee39d550, 0x8aa6d8b2,
+    0x5f88e9bf, 0xdf0f9672, 0x10363bea, 0x2ee251ae, 0x3ccc01e1, 0x426edd99, 0x5c3e5a2d, 0xbb590483,
+    0x1ae26617, 0x02e79c9d, 0xf73a7512, 0x50922f06, 0x875c3f7d, 0x65009e9e, 0x74fa92fe, 0xfd3a4d7f,
+    0xdba68b03, 0xc923a71b, 0x671ead00, 0xec464e65, 0x153424ca, 0x846dea90, 0xd441ce1a, 0xf800dacf,
+    0xb7625490, 0x08cde403, 0x4e0684d3, 0x27053a4f, 0x7715c584, 0xea576a84, 0x319d27cd, 0x6e08d3f9,
+    0x56e84d80, 0xc2eb04af, 0xd617571c, 0x2d0229f5, 0x930973b0, 0x7c5bfa2f, 0x54a62977, 0xcf7819fa,
+    0x5dd016a4, 0x1024eabe, 0xe77cad6f, 0x53174370, 0x5d9ab120, 0x42be9101, 0xf23fc4a9, 0xba72808f,
+    0x5aa93026, 0x685abe0b, 0x00a03d61, 0x30d28c77, 0x1955a12b, 0x1b9e3cc9, 0x0832e754, 0x9e2ccd11,
+    0xf6185ecd, 0xee2ed640, 0x8f2495a0, 0x5250124a, 0x527cec0e, 0x45524e54, 0xa71087f9, 0x4ee12b7b,
+    0xf2d6a6a3, 0xee0c7895, 0x13a6e351, 0x0ff099eb, 0x21e1ae7a, 0xf30e2707, 0xe04b353e, 0x75b8eb33,
+    0x1221f1c3, 0x9108776f, 0x6dd9f862, 0x942c5647, 0x00e9a99f, 0x10d1355b, 0x8cb6f80b, 0x2c913098,
+    0x32068725, 0xf1a58e68, 0xe4d8d01f, 0x320018c1, 0x43b6bf9a, 0xca47ce86, 0xdf992837, 0xbd5169d2,
+    0xe1788215, 0x2bb35ec0, 0x008b6010, 0x5f5a3731, 0x34019ac2, 0x213d9a40, 0x01e8d789, 0x08bad08a,
+    0x46121f5e, 0x67854371, 0x9d429b30, 0x015dd209, 0x531b8535, 0x948edb47, 0x637c8d8f, 0xdaf29220,
+    0x0babf020, 0x652be928, 0x8dd47988, 0xb2c3b644, 0x2a68b4ae, 0xf69d32fa, 0x3facf238, 0x65a815e3,
+    0xf55e1697, 0xec77c905, 0x70f79a24, 0x9e3a4415, 0x66610953, 0xc2b8921a, 0x4b30f91d, 0x07726985,
+    0x596d9eb1, 0x6ed3bb11, 0x347650c2, 0x276c2647, 0xa618110c, 0x59e24aa3, 0x543bed2c, 0x48f11e2d,
+    0xc2a59c21, 0x7ef9e28c, 0x7ecd3a1e, 0x3860d03e, 0xf6e7a02a, 0xce947e2f, 0xa4a4ca63, 0xff40a4f9,
+    0xa4dd7a9a, 0x543b4bab, 0x5965bba4, 0xb557a2e6, 0x9ed4fefe, 0x0cd48a5c, 0xdfff8db2, 0xb3dc2102,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000324518553658426726783156020576256 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036da, 0x81201649,
+    0x00000000,
+    0x81998d5a, 0x83c356b0, 0xaf2c02de, 0x1e1b18a2, 0x6f870419, 0x8ded288f, 0x80931001, 0xc8196dc7,
+    0x7905e68a, 0xd17533db, 0x7584de1a, 0xce7f9c44, 0x7472e3db, 0x49162054, 0x65d1ccd1, 0xf3b9d79b,
+    0x1e07fade, 0xcb286315, 0xb05abc99, 0xf7a18f33, 0x36b37df4, 0x4907fd42, 0x40c6ab1e, 0x0ba5346d,
+    0x2af906d6, 0x87c64de5, 0x41308ab2, 0xfb15139e, 0xc86952b7, 0x5adcf5e3, 0x5170f42e, 0xdc0ee0fb,
+    0x75998108, 0xd281dedf, 0xe53171e2, 0xba0635ce, 0x81557565, 0x71f2b6de, 0x4d428ee4, 0x7de2f32f,
+    0x5ff1b190, 0xb098a8e2, 0xd48b7790, 0xa57adc22, 0x2fd398e9, 0x3e955ced, 0x930dc07e, 0xebdf159a,
+    0x332c180d, 0xecae8643, 0x498cde19, 0x4c52adeb, 0x62ccc925, 0x1f6a0626, 0x18aae04d, 0xe7fab4d8,
+    0x09006183, 0x903e7032, 0x83b30b39, 0xce630a18, 0xc78b84fd, 0xda41a838, 0x283aa9eb, 0x63c70e02,
+    0x38de2552, 0x6fbb0c06, 0x27325079, 0x8709c567, 0x8b66bd53, 0x4d2c34c4, 0xa8ce2d8c, 0x123a5783,
+    0x2e49c055, 0x6afe4883, 0xd0ee3cc3, 0x75852e75, 0x63343971, 0x76f8d6e0, 0xfc49355b, 0x717e5f54,
+    0xfb74df5d, 0x92848627, 0x5b8e4bdc, 0xd2fcf524, 0xfd99bfd4, 0xf663acda, 0xf72a7bd5, 0x6962c632,
+    0xf562351b, 0x67f2a717, 0xce50745b, 0xa11790ac, 0xb2b001d5, 0x99185047, 0xd6483019, 0xa613effe,
+    0xb7cb4032, 0xbb3eeb8a, 0x9a13d36a, 0x3a60fcc5, 0x1934aad5, 0x55a3ad5b, 0x761a7b97, 0x8252d85e,
+    0x9207e6c7, 0x6bec4d0a, 0x2c26dbb9, 0x082f6e72, 0x3a1ff902, 0x64a66500, 0x39f6aa30, 0x9cc7fda0,
+    0xa7892e6f, 0xf42d97d1, 0xb710bf6f, 0x4a9397e6, 0xc3a6f2a7, 0xe7bb370f, 0x588903f0, 0x4edf18ff,
+    0x7c4fe108, 0x9ca46436, 0x109544db, 0x0914bf67, 0x84fa6ead, 0x46b08fca, 0x9163b16e, 0xcf425dba,
+    0x1eca9ef1, 0x8856a3df, 0x39be6946, 0xcdca6342, 0x03047419, 0xbc6c8442, 0x02a624c5, 0xcec8fa36,
+    0xa7e624d7, 0xae2933b6, 0x6a09bd5b, 0x7bd3d648, 0xfea57b7e, 0x74b7b527, 0xc03b6434, 0x888be02c,
+    0x987bed02, 0xa7079d64, 0xfac768ca, 0x83c899e6, 0x8cfcd503, 0xee87688c, 0xa3321333, 0xc5f65fcb,
+    0x49ea8e07, 0x8591c77f, 0x47476939, 0x805441ba, 0x8d062ffa, 0x3c7dd932, 0x582232ea, 0x59e30991,
+    0xd5efa3f0, 0xc9594cfb, 0xec9affdd, 0xab0d10b0, 0x7c73a193, 0x78a948b7, 0x3cd853b2, 0xf7dca03a,
+    0x6ab56fca, 0x3c1051f9, 0x18da2b42, 0xef65dc68, 0x57aef3b3, 0x742edf4d, 0xa9bda313, 0x36c42212,
+    0x311e2780, 0xcb7b5410, 0x3390fabb, 0xb5611275, 0x54c671b8, 0xd451b56b, 0x815db227, 0xf4bfc968,
+    0x3eb9b297, 0x43afe2d7, 0x7d94cf55, 0x817ec5dd, 0xb95e2741, 0x5e92b8c1, 0x618d5760, 0x2ddd896d,
+    0x0d3a7a3e, 0x6323a0f6, 0xcfed948d, 0x5eee9998, 0x756ee1bf, 0xc1c36217, 0x5330c76c, 0x775b003f,
+    0xc6c110f1, 0x0de84724, 0xa0f4ea0e, 0x671e09cd, 0x08ca56c9, 0xd5d1eba4, 0x98af0b6e, 0x5657fe92,
+    0xdc9ea32e, 0xe3e993ff, 0xe9945ec2, 0xcbe57f24, 0xf9af44b2, 0xdd80c8e3, 0x0d7b60a2, 0x59cce994,
+    0x695025ba, 0xbfecba52, 0x7b921d52, 0xdcf2c7b4, 0xb742a74c, 0x5aa70e97, 0x4d5028ed, 0x526e871a,
+    0x94458335, 0xeb0d0c60, 0x1d210223, 0x5886fd68, 0x858c704c, 0x698681c3, 0x562275ac, 0x05825681,
+    0xbfaac418, 0x7160d4bf, 0x1a7b4ee1, 0xc8b7e29a, 0xab9216ed, 0x156a94b0, 0xb7868efe, 0x8598c365,
+    0x64c19a09, 0x88d0f4f0, 0x7ac4c5e3, 0xf21df226, 0x43273e29, 0x11417694, 0x322a9846, 0x29550eb7,
+    0x22fdb5f4, 0x45c52505, 0xabc386b8, 0x892442ef, 0x525e0a59, 0x7ea71444, 0x0ebac475, 0x6a30ccfa,
+    0x052b5d5a, 0x6d43ebbd, 0x1e24d6bf, 0x63808fd3, 0x29c010aa, 0x8002d5e2, 0xe9a20903, 0x23fb64f8,
+    0x98b459d3, 0x50be3099, 0xfc755532, 0xb46f8ceb, 0x521d57f8, 0xc2ffe21f, 0x1568738b, 0xd3b296d0,
+    0x5f605ad0, 0x4ca4bef0, 0x590be257, 0x7ca9ebce, 0xdb4d9f34, 0xf3304892, 0xf0c7774f, 0x2dfe7fc1,
+    0x74a1bfb5, 0x65b4ba06, 0xbb8d1544, 0xd2c9d1b8, 0xbd5cfbaf, 0xf0ae9173, 0x6c37fd01, 0xa3eb3926,
+    0x35965dbb, 0xaf2fc786, 0x49843d5e, 0x419af1b1, 0x16fd4ffd, 0x74ece8ed, 0x058297b0, 0x52515b96,
+    0xa6e78c5f, 0xd331e907, 0xf0715e12, 0x2a45e2a6, 0xdbd77c55, 0x922d6a43, 0xcd384302, 0xb485463c,
+    0xbd6a7514, 0xa6eee02c, 0xce65f0df, 0x84366972, 0x10330218, 0xbc29ea2f, 0x4f38e923, 0xf57ff6a9,
+    0x44381c17, 0xb8d09b39, 0x424e8d65, 0xa0d47cc0, 0x3532be66, 0xc8dfb04b, 0xaefc16a8, 0x45b6c7cd,
+    0xdee2434f, 0x4197d0fe, 0xd1a174a9, 0xbd9e55a5, 0x01f50b8e, 0x8b269a47, 0x1008b344, 0xd5a5e910,
+    0xd9faad2b, 0xdf1ad265, 0x50fee8b6, 0x64184b77, 0xcb9bd929, 0x567dd02f, 0x54b7f1a2, 0x57b5139e,
+    0xb242deb3, 0xc6a61eb4, 0xd790e599, 0x6ae011ea, 0x40addbb7, 0xfbe8da90, 0xfa4e04de, 0x28d12463,
+    0x419c285d, 0x96bc49b8, 0x118ad879, 0x3059c3f8, 0x096bcca9, 0x2ad51a34, 0xcc7327ff, 0x58663314,
+    0x52831917, 0xfdaf18c4, 0x3aad5364, 0x17101db7, 0xd1c91260, 0x7b5ddc72, 0x26ff7b34, 0x1df483f6,
+    0x30ac1692, 0xf5b640a7, 0x7d1146a7, 0x02060300, 0x28fefacb, 0x85175d04, 0x9955af05, 0x4a9459f2,
+    0x27f6368d, 0x207cdd83, 0x02ec2acb, 0x345b7165, 0x8c640865, 0x644590c4, 0x941ce43b, 0x476bf6b8,
+    0x27d74028, 0xaeb66f0c, 0x273dc49b, 0xb95d612e, 0x35777f1c, 0xa1d2cbd5, 0x6b7074c8, 0x1129ba5b,
+    0x0760d829, 0x0b5f166a, 0x5eb77a3c, 0x8a470462, 0x993346f5, 0x0e14d163, 0x9c3d8f30, 0x4660a19c,
+    0x3fc87630, 0xc0d8fac8, 0xccc08eb5, 0xf82b05f7, 0x9ddb705b, 0x6aed65cc, 0xd54ebbe0, 0xf270c09a,
+    0x0fbba367, 0x1619fee5, 0xae350e51, 0xd2d32f43, 0x8a9058af, 0x68c7a319, 0x88cb1144, 0x33050f5b,
+    0x0f4f6fd7, 0x0b01d268, 0x2b572abe, 0x92fd7880, 0xd9695e5b, 0x0ca35a35, 0x3cadd1a5, 0x19504c4b,
+    0x04b8ace3, 0x5bb469c1, 0xbe40145f, 0xae1cf3e0, 0xa56813b2, 0xc9f9ca2a, 0x98750b1b, 0x59627014,
+    0xd56c08e3, 0xfc285417, 0x738f6c2c, 0x37ab5132, 0x12591e78, 0x94b80ae7, 0x48b40606, 0xc20ba104,
+    0x7dc120ff, 0xbf441f5a, 0xbe78c212, 0xb037775a, 0x46991350, 0xc1af5bb3, 0x409ffcfa, 0xc6d7f925,
+    0x8784da60, 0xe6af73bc, 0x8c3792ce, 0x352f05f8, 0x9a5047d4, 0x80f4dbd2, 0x692d618e, 0x8a8227ee,
+    0x2f058d75, 0xcdab415d, 0xa384dd74, 0xd6e288fd, 0xe437b0af, 0x1f9fadf8, 0x69a7e87d, 0xb0ed2266,
+    0xb5d13cd3, 0xb82dfdfd, 0xa57806e6, 0x18d19e28, 0x125e2023, 0x34b80ba0, 0x8fa33a53, 0x58a70ef8,
+    0x0f6679ad, 0xe18d0f8d, 0x55c8f647, 0x86bd4012, 0x88117362, 0xbb8e7c2d, 0xcc232a13, 0x1ba08450,
+    0x743fcd8f, 0x6fcd315e, 0x854b4dce, 0xfcdc86b1, 0xa83fb409, 0xee9a20cb, 0xaf0f2ea2, 0xb924028e,
+    0x2a7975fa, 0x25b9107b, 0x348b7dc1, 0x87e78dad, 0x4df79e6a, 0xb445a226, 0x312bff9e, 0x3373bbb7,
+    0x491ecfec, 0x968dcabc, 0x65c00bae, 0x9a080392, 0x45af7070, 0xcec48796, 0xd5fb8af2, 0x559262c5,
+    0x7581b747, 0xba8a5441, 0xcbca20e0, 0x2e6efbff, 0xe7e380d7, 0x5c6614de, 0xee9d49ee, 0x202f199d,
+    0xb340ae54, 0x87825225, 0x690c2f0b, 0x517907f8, 0x2ef9d797, 0x3181de10, 0x953e4979, 0x2c728088,
+    0x7e02b5f7, 0xc1e97340, 0x16ec5f5b, 0x38e094e5, 0x8e28ef5f, 0x393a7d62, 0x604f4eb8, 0x09d89457,
+    0x778dfd93, 0x2ae20541, 0xfa9abd7f, 0xad67f6ee, 0xb2e88462, 0x6a68ed39, 0x93f21f42, 0xb36bf05d,
+    0xacc9837a, 0x1a31a702, 0x9f72b07b, 0x54676ab6, 0x6ca03769, 0x23279a47, 0x1585aaff, 0x08153481,
+    0x36cbee45, 0x677811cf, 0x55fe96a9, 0xfde51f8d, 0x3c197610, 0xc2ffdff1, 0xf66bb816, 0x33c94d2d,
+    0xfe33922a, 0x6ce695b9, 0xfcd99305, 0xc8e973d0, 0x064f65ae, 0xaee11f8c, 0x18db7c37, 0xc7bd1e3d,
+    0x9880adf2, 0x8fe8b0fb, 0xdff0bdbb, 0x4243d595, 0x8d6561cc, 0x967cf962, 0xbf0a8004, 0xbabdd49b,
+    0x3d7f3ba5, 0xa26e82e8, 0xa061d503, 0x54cb8874, 0xfa1184f8, 0xb6ecc985, 0x5aeda9c2, 0xbb99ee1a,
+    0x88564a81, 0xe089d117, 0xd52795dc, 0x43928608, 0xae968714, 0x163ef67f, 0x91455967, 0xa70575ee,
+    0x56a83ab3, 0x228303a8, 0x464d2e7e, 0x7f4ef261, 0x4a8aea3b, 0xeda3dc85, 0x9f06e2c7, 0xb8411714,
+    0x18a616db, 0xa9e65d64, 0xe5a82bda, 0xafd7f514, 0x7df9e993, 0x17eb1e9c, 0x7a9ef16e, 0xfe0d3067,
+    0x023f78b0, 0xe2797feb, 0xfef6f99f, 0x48f90407, 0x9134d1b2, 0x346367d3, 0x9f8b9ebf, 0xea0d7f41,
+    0xd235fc9a, 0xff5ecab2, 0x9a135c73, 0x9a89b952, 0x4bf398ed, 0x134d4dfd, 0xdcb18ad6, 0x99f3063f,
+    0x64d470f0, 0x1e3e8239, 0x150a55c1, 0x9fabb6f3, 0x2b2ed989, 0x3bf58a9f, 0x06d07a6a, 0xda044755,
+    0x277e0f20, 0x749ccc00, 0x9ade8f2d, 0x30f1e677, 0x5534eb8f, 0x85e1d55a, 0x41f7ada9, 0xbe0553df,
+    0x8378109f, 0xce118571, 0x677eb673, 0x9d0e3732, 0xc2a01ced, 0xe1041703, 0xf1e8e7ab, 0x2e461e7b,
+    0xa35588ba, 0x5d65c6bc, 0x756c6f7c, 0xb3fce53d, 0x68f46037, 0x58fa0608, 0xdf97db07, 0xaf766657,
+    0xe73f94de, 0x2111ae57, 0x30b42564, 0x404b8c1b, 0xfd4f01e5, 0xaa018170, 0x6eb1b147, 0xdc0f536d,
+    0x49b1dba4, 0xbe4dd539, 0x0e68937c, 0xab0d3bb7, 0x9d73dbb9, 0xb77aa324, 0xe0875d3b, 0x98364ed9,
+    0x38d52181, 0x63c3f7cc, 0x22331c49, 0x01abd84c, 0xe8b9227c, 0x63552157, 0x4a28d307, 0x5473538a,
+    0x2448b1ed, 0xf6e84954, 0xe7ca244d, 0xbd66c4e6, 0x34d8614d, 0xb7ce14d2, 0x49084a32, 0x77481474,
+    0x9a5c8abd, 0xd67edd6a, 0xcea84b06, 0x61789116, 0xf18245c0, 0x41853b2f, 0x5216e912, 0xd214804f,
+    0xf02bb34b, 0x0b83148d, 0x095e514e, 0xc8c727d9, 0x732e8fc7, 0x011c069d, 0xae838d3f, 0xa96000ab,
+    0x1c9301b2, 0x298bad5c, 0x67fc4464, 0x452158c4, 0xbe240f22, 0x787a30ff, 0x2026f7a3, 0x6be0ec86,
+    0xe55feb88, 0x478615f9, 0x34c8e2ee, 0x60034bd1, 0xe1a41e65, 0x7390721d, 0x49333594, 0x280d71eb,
+    0x271044b5, 0x619d40a3, 0x9cecae43, 0xea24c8bc, 0x5dd90fee, 0xbc264de5, 0x60d7c3bc, 0xefce2f18,
+    0x422b5f6c, 0x1f725b99, 0x3c483376, 0x280fe04e, 0xbbd3d997, 0xaaf8596c, 0x7e3603b2, 0xa6095151,
+    0xe546e7f2, 0x732f28d7, 0xe263fc86, 0xe0ffd762, 0x5e76f29e, 0xe1dea108, 0x302c62b5, 0x9467a15e,
+    0x2e042ec9, 0xeab90127, 0x17a454dc, 0x29a7a02c, 0x58ca1bf9, 0xc00ef3e3, 0x3f14b8d6, 0x148f9c31,
+    0x559ca3df, 0x28aea65b, 0x1ea27210, 0xe292be6c, 0x3d5593d9, 0x2681f3a6, 0x5d23aaab, 0xb4004834,
+    0xe480d30d, 0xeb8b953d, 0x48a3cb1d, 0x98507436, 0xdc5fac83, 0xad8153af, 0xaf23bb36, 0x9cbcc1f5,
+    0x65b6f87c, 0xccc86d25, 0x1fbea96d, 0x09165af4, 0x9aeaa995, 0xe196b827, 0xbbcb2a5c, 0xe37e4ce5,
+    0x661afc67, 0xc1b2f90e, 0xf0223d79, 0x7a01c3e4, 0x7f205ced, 0x52f90aee, 0x1381f1d0, 0x30947f82,
+    0x238823a3, 0x61c6612d, 0x0125ad01, 0x4b3c0ee4, 0x0f35be81, 0xb724ae92, 0xd1699d14, 0xb8c617b1,
+    0x8d59903a, 0xdbf3c85e, 0xea7bdbca, 0x694a0f26, 0x258bad4b, 0xbbcd7f5f, 0xa3cea967, 0x900b6790,
+    0xea359a68, 0xab9bfbe9, 0x8ff9c89d, 0xa329155c, 0x96cbdc30, 0xb8daa2f3, 0xd6f81b9d, 0x54dd4d41,
+    0x087385ca, 0x34c25595, 0x5a5ea478, 0x2b345a26, 0x0f195c6b, 0x75611e06, 0x4efd6acd, 0x0caad13f,
+    0xd69f73b2, 0x7296f668, 0x5429164b, 0x48861473, 0xff0c7f19, 0xd84cab90, 0x6a79c82a, 0x5574458f,
+    0xf4a38877, 0x08e01cb5, 0x6b6c1174, 0xda8e7bbb, 0x0885d9d9, 0x975d4f98, 0x3e8f882c, 0x255a0e18,
+    0x6a29cd0c, 0x033ee121, 0xe4bab1c2, 0xd34f9142, 0x0d593dd9, 0x968aa44c, 0x2065b5fc, 0x29d8bd99,
+    0x3f840dfb, 0x8b790acc, 0xed2a6174, 0xdd9dbe3a, 0x33f85abc, 0xf4975e8d, 0x5ad85ae4, 0xcb2a05f2,
+    0x6411af73, 0xe36aba98, 0xe626f583, 0x0d23eae1, 0x781ca5e7, 0xaa9bc02a, 0x239defa0, 0x4a725bd1,
+    0x637f5c2c, 0x3544b20d, 0x1ed3a61c, 0xde8b8ace, 0x353a9b33, 0xf18e53f2, 0xa8052cb1, 0x9ad36ba9,
+    0xba0dea71, 0x4690ddf1, 0xfe837b44, 0x331156c0, 0x3651c276, 0x72ef5f5e, 0x13526fed, 0x3b9f15bd,
+    0x0dcf9d66, 0x564e27c3, 0x1baebdf2, 0x528f627c, 0x96dc366f, 0xd10158c6, 0x0c53466d, 0x77d92885,
+    0xfd7b016b, 0x3e0e5a00, 0x2f419681, 0x7e96808f, 0xacfbb60e, 0x3898d029, 0xe21f793f, 0x6dc11f48,
+    0x6df7c3b8, 0x299621b0, 0x5c7681bb, 0x35e6bc56, 0x29104d3a, 0x5e1939a3, 0x64b3fab0, 0x00473124,
+    0x9383f29a, 0x0f5b54c6, 0x3663fa29, 0xda860454, 0xd044cd52, 0xf4159a1b, 0x45ebfe31, 0x90d66c2c,
+    0x8bd89921, 0xafb714fe, 0x3d5afe3c, 0x1bf179b8, 0x12b2f4df, 0x72cb1ba4, 0xc91890fd, 0x141d926c,
+    0x191deed0, 0x3ce638f2, 0xbc152a8b, 0x7cc2c8d6, 0x99a509b7, 0x494f1802, 0xfb2aeba4, 0xcf71fec1,
+    0xb1eb925f, 0xd79842dd, 0x92c228c6, 0x73d194c4, 0x1efc545c, 0x441185fe, 0x10be8084, 0x42e60c15,
+    0xe6fd56a0, 0x8184fb7e, 0x342427f4, 0x2574d663, 0x6582df60, 0xd742ba0e, 0x746eb2bc, 0x45712748,
+    0x33beba55, 0xca034b0c, 0x26f267de, 0xa1678e61, 0x26287d2d, 0x9b4f2249, 0xebe70a04, 0x7d21ca81,
+    0x9f511e6e, 0xcdd44f87, 0xb23c9e44, 0xe2707337, 0x408486e5, 0xd5d696b2, 0xf1c42d39, 0xabe88772,
+    0xf619e190, 0x6c248508, 0x634a8f0d, 0x0dfe0c3d, 0x2c95c50e, 0x4cb35ef7, 0xbcfe49cf, 0x019fe45d,
+    0x841841b8, 0xb77252c3, 0x92fa4552, 0xcc8bc5e2, 0xf9c71173, 0x617078f4, 0x5ea5100d, 0x1b10b95c,
+    0xe0d4975e, 0xcde95682, 0x52474c19, 0x89afa743, 0x6a20c899, 0xfe9babc6, 0x2f7b3ea2, 0xc2f14526,
+    0x9a37b7d5, 0xacdec6ad, 0xb0ccd36a, 0xe4214074, 0x48a1c14c, 0xf50a93ee, 0x66d45b14, 0x684a55f9,
+    0xca082f67, 0x2ae6f724, 0x0cfb814f, 0xfe8d1f4a, 0x3550f7a3, 0x0901d41c, 0x93268d55, 0xc3830898,
+    0xb88ed9cc, 0x3e8835a8, 0x0e06fb1e, 0x53018de7, 0xa7dae34d, 0x8eb46b32, 0x9b41d909, 0xbc1766a7,
+    0x846161ab, 0x78e36127, 0xd7a9e58d, 0x0195f7f7, 0x7297f99b, 0x1ad76c4a, 0xa88fcfe1, 0x0692c1ff,
+    0x4d0187f2, 0xdebf7999, 0x951fb0d1, 0x7700cdbe, 0xd1df99f6, 0x857fcc09, 0x2957873a, 0xa0815d7a,
+    0x9f80072d, 0x2d2bb1cc, 0xa167f827, 0xdc176815, 0x74394144, 0x928b0572, 0x4bb7641c, 0xfa6fefd1,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000162259276829213363391578010288128 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6d, 0x40900b24,
+    0x00000000,
+    0x80cc23e4, 0x096a83e2, 0x40db31c0, 0xe9af4814, 0x7ca16da6, 0x25170d91, 0xfa3a38bb, 0xea2b8efd,
+    0xb3a78fd2, 0x53eacfe4, 0xfc94440d, 0x5adbebcb, 0x6e7ce5aa, 0xc1f92ae2, 0xabf2e9a2, 0xd0be82ea,
+    0x593991c5, 0x1fe888cb, 0x6b31a7df, 0x18eee506, 0x6f843a88, 0xe9a0b56a, 0xaa882c90, 0x8f29415b,
+    0x2c6ac7ac, 0xcdd870a5, 0x4dab7cc1, 0x43bc34c9, 0x9ddb477a, 0x0ecc586b, 0x303995fc, 0x857ddcd7,
+    0x88b7aae7, 0x8389c0a1, 0x67cc62df, 0xd7d64463, 0x7059d4b6, 0xec29a3ff, 0x02cef7c7, 0x0ed9af0a,
+    0xf0baff8a, 0x74afc027, 0x924bf7b9, 0x1cad7c11, 0x73ac4576, 0x25dddc8b, 0x6eccb9af, 0x089f8b7b,
+    0x5db270ba, 0x9d35bc41, 0x209559ed, 0x439678e7, 0xedfa18b5, 0x7e11baba, 0x9e108865, 0x7666fa57,
+    0x026dab93, 0xe73b9616, 0x7859ddb1, 0xc7416e1e, 0x339b38ed, 0x915b4553, 0x65970962, 0xadd989a8,
+    0x7be58fa2, 0x28747356, 0x6eaacf49, 0xfc4e3ff6, 0x47adaa2e, 0x9e62df7a, 0x0d9fc271, 0x6a9cde0e,
+    0x8fff9003, 0x5478a0de, 0xaae6e50c, 0x851164dc, 0x2204f537, 0xf172767b, 0xb815b86f, 0x6375d475,
+    0x874442e0, 0x519a3c9f, 0xb3467dd9, 0xebed0943, 0x4e7e2214, 0x2c769a3b, 0x7377e5eb, 0x7f4ec8e5,
+    0xb73d4c7a, 0x8d13f8f1, 0x66f96321, 0x50d98ac4, 0x338df8c6, 0x1e930560, 0x48a3c1b5, 0x22174000,
+    0xa3bb1db6, 0x352b475c, 0xb02e2747, 0x20ff0dc3, 0x04b1c48f, 0xcf8480d9, 0xcd034de3, 0x9940f2d7,
+    0x01470455, 0x3121bd93, 0xe8474e57, 0x21335938, 0x965b90ba, 0x64485fb6, 0x1bbc6435, 0xa7262935,
+    0xbbc9e1de, 0x7d3e86bc, 0xb194b77b, 0xa6fec3c9, 0xd14aa1ec, 0xf7139b67, 0xa4eff859, 0x0cdf02a7,
+    0x423a650c, 0x590438de, 0x8b200c0d, 0x868a56cd, 0x44da2706, 0x26cf0e71, 0x058ad3b2, 0x0e369289,
+    0xacbaf020, 0x28335429, 0xf2d54cb4, 0x9a0dd8ec, 0xe09b6483, 0x93c5e7e1, 0x8849443d, 0x2b2665c1,
+    0xc2d27d1b, 0xf56970b4, 0xa10220f3, 0x2af48c6f, 0x3bd380cf, 0x40e4c401, 0xb080eb08, 0x6a591ea5,
+    0x3ee3f14a, 0x8114cbcd, 0x3c5a5e78, 0x033381c1, 0x82279342, 0x1d2e8149, 0xdd7b3dcc, 0xca33ebf3,
+    0xf35807a2, 0x7296000a, 0xf50ffe1f, 0xf13a50ab, 0xb37bdccb, 0x5b36cb0a, 0xdd285914, 0x3ba09599,
+    0x4cb5ee72, 0x8f0f81ba, 0x06db3a59, 0xf1225e62, 0xc95f4bab, 0xff88eed1, 0xb2c7dcf2, 0x6c3dfb62,
+    0xa6c2c4da, 0xffd75b2a, 0x748c4456, 0xac75e560, 0x2ba0c67e, 0x01d27fcd, 0x6e92f598, 0x1c4b5eeb,
+    0x084d61db, 0xf8ebad72, 0xc182edaa, 0x973f314a, 0x6f2ffd6d, 0x93a53c30, 0x74bddb1c, 0xda6edd31,
+    0x606322e1, 0x07138d2d, 0x79f345e9, 0x0eaea515, 0x47b2ebf3, 0xb3d735ae, 0x1429a533, 0x07ed4d1a,
+    0x1f9962a2, 0xb9500493, 0x25350d37, 0xc7e9d85f, 0xb0c41ac4, 0x6d597783, 0x26773b89, 0x3650a5f5,
+    0x8424c07e, 0x2c8b5e04, 0xbf3c96aa, 0x2546d089, 0x202dc9dc, 0xc259b956, 0xe82774a2, 0x24222fc8,
+    0xce02deae, 0xb0afe7e8, 0x0f46e12d, 0xfa72070f, 0x863e17ee, 0x8ffed465, 0x58e633da, 0xc98d2015,
+    0x4f96e51d, 0xdc423b91, 0x28c9b14a, 0x8102fc26, 0x9bb0124f, 0x9a5f61da, 0xd0fc98bf, 0x30f0955a,
+    0x8f24cdcc, 0x0182cda8, 0x98d6edcc, 0xa02e0639, 0xfad11f9b, 0x126c4968, 0x02019708, 0xc0004791,
+    0x5e3e4607, 0xfecaa801, 0xd528f2b7, 0x152ee0d9, 0x694dd2eb, 0xf0047d0d, 0x68bc5610, 0x3ce5fe9b,
+    0xcd942919, 0xb3d039d4, 0xf70595f2, 0x77eabbc6, 0xba58df29, 0x3384be5d, 0xa87a424a, 0xf4a8c4b2,
+    0x14e12658, 0x390964da, 0x85d23ea8, 0x9bd19762, 0x4e184e05, 0x05ac20e9, 0xcda8b2f2, 0x18985d1f,
+    0x05b3ed91, 0x26f7e512, 0x503cb70b, 0x55e51e15, 0x508768b7, 0x307e1937, 0x443d4db0, 0x126372ae,
+    0x76efe1a8, 0x7a582f7a, 0x1d8badfb, 0x3ee1bbb7, 0x6117ed34, 0xb3b13e15, 0x0d7632a7, 0xd143494c,
+    0x732d9905, 0xcfce5646, 0x49d53601, 0xe6032203, 0x91472d7f, 0xa3fc90bc, 0x20958b86, 0x93c77c4a,
+    0x1a476fb2, 0x31756a47, 0x7b03fd5f, 0x6cdd60f4, 0xc62184a4, 0xd3209bc9, 0x222e9384, 0xa0e7f703,
+    0x6b5231b0, 0x5792d8bf, 0xf91197bd, 0x41e8135b, 0x810b5dec, 0x8e0ca312, 0xf3217907, 0x08f961b9,
+    0x42d0e42b, 0xe569a8ee, 0x25baa73e, 0xbaeeaf66, 0x82e7c25f, 0xcaf476a4, 0x3836c1fb, 0x180f02f3,
+    0x95944589, 0xc52e9791, 0xeb17e80d, 0xbeb5c7ca, 0x514383fb, 0xf0be61c2, 0x2fdc80d5, 0xce8cf9f7,
+    0xbbfe4360, 0x0dc240e6, 0x3c08c73a, 0x3668e21e, 0x8c120aea, 0xe91f98b3, 0x4b69e37a, 0xfad46176,
+    0x3db4971c, 0x2ea6e670, 0xe0970825, 0x62ea5f3b, 0x3172bb9a, 0x3f411f8b, 0x89eb352d, 0x680d85df,
+    0xf2530318, 0x90eb94f0, 0xa927c6b0, 0x0535a2fd, 0x36ccafc5, 0xa06843cd, 0xa6e51a84, 0xe4fe36e7,
+    0xf933586f, 0x742a6534, 0x3a606b0b, 0xe361eeec, 0x2fffd010, 0x13e3ed75, 0xeb03062c, 0xc64ffdf8,
+    0x26efb5a0, 0xac3fb2d6, 0x374206e3, 0xe2153ac1, 0x08aaf7d7, 0xa7581d47, 0x943cd204, 0x446053e4,
+    0xa1b33541, 0x93361d23, 0xab701409, 0x74509660, 0xe8a91728, 0xd2981040, 0x8fa8cf02, 0x0798cd5c,
+    0xa6986435, 0xc3d290fb, 0x8186f07f, 0x8171155c, 0x66a2acbb, 0xa40451c6, 0x5d9965c9, 0xa408c197,
+    0xf4c8700c, 0x4cfccd90, 0x65f58a77, 0xd4bb84bb, 0x7b36cd3c, 0x1c42e606, 0x48a68d63, 0x03fa7761,
+    0xff738a76, 0x7c4bffac, 0x00409c87, 0xf79f7e94, 0x9b663822, 0x448805cb, 0x30ea6a00, 0xdda06a1a,
+    0x63f68364, 0xfce151c4, 0xd626aeb7, 0xf13533b8, 0xaa227c88, 0xd58319f5, 0x95f1dff6, 0xc511e9e4,
+    0x3c2e56c9, 0xb266c5da, 0x41f09dfc, 0x54c059c4, 0x50d18fae, 0x675bb700, 0x0d9ab4dc, 0xafe2b99a,
+    0xc99ddec6, 0xdab0da3d, 0x5d85e96a, 0x7b21f9d8, 0x80c6a8fb, 0xf1704abb, 0xafb0c2f5, 0xa2206bdc,
+    0x3b51dc63, 0x3131d914, 0xe2fb1549, 0x74d287ef, 0x9238d197, 0x2cdb64cd, 0x2435ea08, 0xdaef28a2,
+    0xf8a40bfb, 0x29f247ad, 0xa571965c, 0x8139c061, 0x679efa5a, 0xd90896e9, 0xd6bdca92, 0xe367935b,
+    0x71bc08a1, 0x321163a2, 0xddab0a2f, 0x80f9b1bc, 0x3de97b20, 0xb4b9eb08, 0xf86d47a6, 0x943f9cd6,
+    0x088ffe50, 0x92fba0b8, 0x29debe7e, 0x0e57ce18, 0x6b6e6bd0, 0x7e9fff0f, 0xee692f88, 0x28fffe23,
+    0x15c87c29, 0x19c58fe8, 0xa90893e0, 0x06e8c43f, 0xbe6b88a4, 0x544e02e4, 0x5449ef23, 0xf996159b,
+    0xfb8e520c, 0x2e3ebe9d, 0xde1fb104, 0xaa5671ce, 0x61bdac01, 0xae36e892, 0x19258db9, 0xcef5cbec,
+    0x209f9c0f, 0x05af23a5, 0xec8b4306, 0x6b614f74, 0xadd3fb3f, 0xe65f8bf9, 0xd73ee7e9, 0x093fe320,
+    0xd377270e, 0x4e6b3b3f, 0xafc0b2a7, 0xb3224efc, 0x7c7cb4b1, 0x8e1647a4, 0xd7b7327a, 0x1d011a24,
+    0x0ab60f6f, 0xb290b966, 0x5ea78770, 0xdfd0a6bf, 0x28b192fd, 0x9bcfeffe, 0xb125d11e, 0xfe043d49,
+    0x029a5510, 0x666dc413, 0x49458778, 0x07968d7c, 0x86b70946, 0x82efbdb6, 0xc2782e75, 0xb8a43023,
+    0x0b402cdb, 0x51e66dfb, 0x76beb41a, 0x3a3bd450, 0x87d76c71, 0x19ca781c, 0xdd57b29a, 0x863bf136,
+    0x9b903350, 0x99d16e5a, 0x0a10c436, 0x6afb29d9, 0x7561241e, 0xbd2182dd, 0x727b5e8b, 0x00a13751,
+    0x53a4e3ab, 0x238ae409, 0x376b1204, 0x1bd82ecc, 0xf1bfdb77, 0x23661134, 0x2571780c, 0x9c5bfaf4,
+    0x69d7af73, 0x85a1efdb, 0x451ea6d7, 0x6f8eb15a, 0x49c86152, 0x3007c3b2, 0xdf498f46, 0x60bb4f35,
+    0x636f9968, 0x390bb500, 0x25b34ece, 0x73430d07, 0x08382910, 0x80e6929b, 0x9e8f7a2e, 0x5f36d98a,
+    0x6dad0dbf, 0x8549af21, 0xf5af463f, 0xa589d830, 0x9384d5d0, 0x6f8d2b77, 0x3dce8e0d, 0xe90d655d,
+    0xf35e1dd4, 0x44eb9141, 0xefd84d68, 0x639fa354, 0x2531ffdc, 0x1074e98e, 0x89c62225, 0x0f29eaad,
+    0xeb86e9f9, 0xb6f4ab8d, 0x9f729b24, 0x82af6a26, 0x6c0117de, 0x79de3276, 0xbb4394dc, 0x60a4f1c7,
+    0x505135f0, 0x3a83ea53, 0xe29ca0ba, 0x24a977fd, 0x84bd259c, 0x9219130c, 0x7263f646, 0x06f8cbc9,
+    0x8eb4165a, 0x5998d9ff, 0x87576203, 0x2ead40a9, 0xd203ae64, 0x561979a9, 0xc6eb64ce, 0xd0896c1f,
+    0x08d2b6be, 0xf4f941a1, 0x15cf2e9f, 0x42b1cf3f, 0xb2cc9833, 0xfb811cb6, 0x635f59cf, 0x4db1938f,
+    0x898859b8, 0x0c4f9f30, 0x7c48611b, 0x49d301b0, 0x07e24bf8, 0xa32b40e5, 0x341e7a2e, 0x86bc9065,
+    0x9861ef8c, 0x4ea1b66a, 0x0ed81abe, 0x83e9cb3c, 0x489f3a87, 0x60997d8d, 0x635fab24, 0x8795a14c,
+    0x788ef71a, 0xc2c9f51f, 0xf38779a5, 0xe56eac4e, 0xc4589a18, 0x3d4425da, 0xf14a4c48, 0x57da8865,
+    0x53d5d6af, 0xdc133954, 0xecb10730, 0x65194c7a, 0x2cb39a8f, 0xe5f0badd, 0x88d12dac, 0x69b2b802,
+    0x5335b4aa, 0x8c1fc6d6, 0x7d33956f, 0x22986dbc, 0x84f57ad1, 0x926435da, 0xaede5575, 0xebe2557d,
+    0xf36eb598, 0x4c7f1df9, 0xa2afc15d, 0x6ab492b3, 0x29ba14d3, 0xd9bdb11f, 0x479239fe, 0xe8cab12e,
+    0xba2609ef, 0xa628fe2f, 0xea9ad301, 0xf86baa18, 0x1bb4dcdd, 0xeed4124c, 0x528672db, 0xfd9aaae5,
+    0x1268a9e4, 0x5bd99144, 0x2689baca, 0xd982f523, 0x4d22b0c8, 0xe703914b, 0xbbb651e1, 0x3c2bfa69,
+    0x339708c9, 0xca09eed0, 0x21c0794f, 0x19405294, 0xf063b8ce, 0x93788421, 0xad360268, 0x2a65c66f,
+    0x46d65fad, 0x21fb4c17, 0xdff5785e, 0x38de57ec, 0x1b425519, 0x4b57d909, 0x0f0aa1ab, 0x1a80adb6,
+    0xac05e603, 0x5d2859c8, 0xa5610a1a, 0x4367b6b3, 0x1fb5d1a2, 0x35d0382e, 0x7465d480, 0xa9ebcb3c,
+    0x0aa3d669, 0x762b2a7d, 0xb9b53326, 0x703c0e4f, 0xdb4c8636, 0xe4d89742, 0xfe0ddd0f, 0xda934253,
+    0x1b87a6ed, 0x85e50673, 0x953f61d6, 0x0b8aeb2c, 0x2c9a657c, 0x1f345e8b, 0x62f05f17, 0x5f890ca6,
+    0x674d8f0b, 0x36ef867f, 0xd22b2d2f, 0xc9e1e6d8, 0x19a194cf, 0xeec25b51, 0xa2243198, 0xe5236c98,
+    0x6eb41022, 0x1a5b2fbf, 0x245447d4, 0x68d48a90, 0xc98977eb, 0xa7c21f35, 0x2160ccd4, 0xcae3f78c,
+    0x8d8138bd, 0x9163c6ba, 0x1ebcf03c, 0xa14508ee, 0xcd5bbf54, 0xcd8165d4, 0x7cdedf0a, 0x311b2217,
+    0x82d86810, 0xd1d02614, 0x92735316, 0x9d5dd6c0, 0x24e4a90f, 0x403cc191, 0xe95c8377, 0x12551603,
+    0xaa660616, 0x8ccdac7f, 0xf4438977, 0x63635546, 0xc49b2e32, 0x7f01d014, 0xf9eb822b, 0x7ce9c537,
+    0x993b4207, 0x03219d18, 0xc497843e, 0xe572dfd0, 0x9ee98d61, 0x9e8019d6, 0x81c7e09d, 0x64e1eeea,
+    0x047498e5, 0xa88fae1a, 0x2e66f18b, 0x2c158e3d, 0x69f578fd, 0xf5a667d0, 0x43d53f49, 0x8e61b57f,
+    0x0deea336, 0x44f0fa2d, 0xf93aed02, 0x9bebc137, 0x1444e043, 0xe6823eba, 0xddb87d00, 0x9c93ce82,
+    0xac1eeb58, 0xebae5c9b, 0x2934350a, 0x7b4dfcfb, 0x77be2224, 0xb16c130a, 0x2cf71a50, 0xdc7cd7de,
+    0x71dd3ff4, 0x076a64d7, 0x2c69ad25, 0x4680a449, 0xcbc4538f, 0x6d6686e6, 0x827fb3c8, 0x78aed7a7,
+    0xd5845b19, 0x36d90c81, 0xa9336e04, 0x08ea0ec9, 0x193dac71, 0x1eb112ab, 0x021da634, 0x5d314fe4,
+    0xcd6fbdbb, 0x1ab51ba9, 0x40db341f, 0x7850442c, 0xd12fd44a, 0x9a611c8c, 0xb4f314ff, 0x4d1b3f4a,
+    0x26c07a91, 0x40f0cd01, 0x892bb3a9, 0x4942033b, 0x904ff18f, 0x4ad9a760, 0xdfe5b021, 0xc301f50d,
+    0x5b430f91, 0xba240d3d, 0xd4a85d08, 0x44ab6c3b, 0xf85f1735, 0x4f734a62, 0x35b91b8b, 0x21c1b469,
+    0xfc47f57f, 0xee2308c4, 0x204f50b0, 0xf304089d, 0x7b38dfaa, 0x70173abd, 0x8e7d518a, 0xee834723,
+    0xeb397875, 0xaa99412e, 0xa3dd7835, 0xcc5abe18, 0xec170770, 0x637a9091, 0x5f8317ba, 0xe8b6c711,
+    0x2e267507, 0x47002b48, 0x0ffccc6a, 0x17a2b30d, 0x1fcb51ee, 0x0a9f190c, 0xd50efe2b, 0x2c25672e,
+    0xd3276403, 0xc2fed1a8, 0xea6ac687, 0x4aefd595, 0x48e971d7, 0x3f0f5150, 0x8528e624, 0xbeaed1ba,
+    0x7b1cbb39, 0xd3b27075, 0x7f149dec, 0x24ffab77, 0x6af739f6, 0x3b763fbb, 0xba81fedb, 0xf16dc3f6,
+    0x8553bf42, 0x05a97f88, 0x7ac4c2d0, 0x15860794, 0x6d09a1d9, 0x2efdebc1, 0x579379fe, 0x704ff0c7,
+    0x2555ad3e, 0xfdb5b692, 0x0194e54d, 0x9dcf56b3, 0x2ca6d39d, 0xeb4bed1b, 0x4f946b38, 0xdb30dc0c,
+    0xb4fc9383, 0x7b3c0e82, 0x3cfb10ca, 0x94607013, 0x56bec681, 0x25173b25, 0x7e8957cb, 0x9bfd5001,
+    0xea3a7570, 0xb3f8fc9e, 0xdc3a317a, 0x35a19179, 0x000c44f3, 0xf5f249a8, 0x8be24240, 0x4ce170a9,
+    0xd92068a8, 0x54c2aab7, 0xcbc3cda6, 0x94789e9d, 0x416e2565, 0x09dbf8b2, 0x1a7a617c, 0x108883d9,
+    0xb76ad50b, 0xed6750c7, 0x556e5280, 0x832f3b2c, 0xc2166ad2, 0xf4cf6c02, 0x7db30125, 0x4dca47e5,
+    0x33e05aee, 0x4274a52d, 0x44bdc3d7, 0x5a758563, 0x2c0f7b71, 0x4b9c34bc, 0x2b2098d1, 0xdc1f5c22,
+    0x83071ac5, 0xc67e10ae, 0xb711a863, 0x3ca41279, 0x0cce5909, 0xb8615913, 0x4036279f, 0xf3e6d48a,
+    0x01566068, 0xf1739bd0, 0x0cc307e7, 0xcff6aa1b, 0x37dbb5f7, 0xde8ba839, 0x57d15c6a, 0xcbec195f,
+    0xeb4af57a, 0xa8abb8eb, 0x90da42ed, 0xa57fc826, 0xe39f3a22, 0x8046528c, 0xbc73772c, 0xd40fd1d9,
+    0x0c859e37, 0x521ab8d7, 0x42dc1329, 0xcc87d5e7, 0xf512890d, 0x1c59c4bc, 0x344c81aa, 0x938aebb8,
+    0xc8cd6f36, 0x1251894d, 0x3d5b8baf, 0xf1ef78b7, 0x0c6e6d3a, 0xfe7a2e6d, 0x954f645b, 0x5da7a8ba,
+    0x56b81c13, 0x695d02d0, 0xca94d461, 0x09d6ad66, 0xa9012325, 0xbab46119, 0xd5f63d33, 0x03681423,
+    0xb4450bc5, 0xf662fddb, 0x0d54bdfa, 0xf414bc36, 0xad985a81, 0xc27ceef3, 0x3dc27be0, 0xe5418976,
+    0xf1338319, 0x14f15545, 0x1f7ea15e, 0xa8382830, 0xbe48e7a2, 0xbae4d3de, 0x943d0812, 0x8d02e7e5,
+    0x6006e103, 0xae73eb10, 0x8075ccc0, 0xa67ff08a, 0xbfc2dff0, 0xb27f6e8c, 0x1d441155, 0x48490387,
+    0xd2d2bc9f, 0xf22f2413, 0x5d45302e, 0x292354e9, 0x3dbf0703, 0xa3fd57a6, 0xa4d8e692, 0x5c300ff2,
+    0xaa3b572e, 0xc341771b, 0x89e384de, 0x7dab0443, 0xbaafcad5, 0x48bf9524, 0x145e2f9a, 0x0af7faa3,
+    0x4f5a9385, 0xd75361b4, 0x2c7022a9, 0xaf4be3e7, 0x90a2f0a4, 0x5cab3640, 0xb7ca43fc, 0x701c0eb1,
+    0x252ea0dd, 0x54bd1eb0, 0x14685a77, 0xab901130, 0x570dcba2, 0xcc81bc8f, 0xd984c194, 0xe10d17db,
+    0x557b0398, 0xf4605253, 0x911e558a, 0xc60d63de, 0xa648cfe4, 0xc7e20be5, 0x9a9e85de, 0xb5051aba,
+    0xfae13e8e, 0x396fb0d5, 0x1e3ed843, 0xf1318d7a, 0x2e17ebd2, 0x4c7cd5ad, 0x76836061, 0x4a7e3255,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000081129638414606681695789005144064 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db6, 0xa0480591,
+    0x00000000,
+    0xb5951326, 0xb5b0f842, 0xdd1f6daf, 0x6ea98d6f, 0x3a4652a8, 0x7727e238, 0x950b6aa1, 0x3c9aba18,
+    0x32b68913, 0x7dcc05b8, 0x5b5e5ddd, 0xb3d80ebb, 0x21721002, 0xfae00e49, 0x03e3768d, 0x363d3cf5,
+    0xa96014f7, 0x5a3c025f, 0x3e89cf2b, 0x2af00c58, 0x6bbdbf94, 0xfd6bb65f, 0x8630356d, 0xf8d9d021,
+    0x698d8c48, 0xcf15f546, 0x905c7c65, 0x80cd5c40, 0xf469eb12, 0x272cd3d2, 0x47e9c69a, 0x4e755280,
+    0x2c6aaa56, 0x341225a0, 0xd468db96, 0x97103307, 0x9430b9ef, 0xfa43688f, 0x9f47f427, 0xcc3ae653,
+    0x9a3ab3c7, 0x813e91af, 0xdb77e361, 0xd09c77ba, 0x82ae9643, 0xb384fbcd, 0x47fffded, 0x2390d4c1,
+    0x8f8de546, 0x89c7a524, 0x09c4730c, 0x1147aaa0, 0xb57fab82, 0xc1f7677d, 0xb6047373, 0x43682fd2,
+    0x8e1356dc, 0x24e795b4, 0x3a267386, 0xd26075bc, 0xa5f9bce0, 0x4da7f928, 0x6590b0c5, 0x052b3bba,
+    0x193d3aa0, 0x82a15e14, 0x2918cb53, 0x65e47b7e, 0xafde6603, 0x4404114c, 0xe6c29c1a, 0x8cb31de7,
+    0x09b304ce, 0x4f82fbfd, 0xa7c02f55, 0xb828c94a, 0x10bd303b, 0xd9e1f242, 0x91b75633, 0xedb41a7d,
+    0xb46b904e, 0xcddcd05e, 0x3ce88206, 0x7aed521f, 0xda568ca6, 0xc278f0b9, 0x3ab6a5cd, 0xfaf4a093,
+    0xefb60625, 0x59880ee1, 0xa5924bd4, 0xaf313142, 0x5c16d120, 0x2633c47a, 0xe6c0876a, 0x5ad19054,
+    0x923185a2, 0xc291d119, 0xe0490242, 0x2d3ebd55, 0x33f33857, 0x413571f1, 0xe5b168f1, 0x17cec197,
+    0x7774250b, 0x55dd21a7, 0x0fc2fee5, 0xcdecb5ac, 0x32038133, 0x0dc838e6, 0x716f7966, 0x7a540cde,
+    0x55adf060, 0xcd8e477b, 0x5325b174, 0xdd4c808b, 0x5bfd82b8, 0xc473f8bc, 0x54fbaf9f, 0x4a6966a2,
+    0x6017eee0, 0x0f6584c5, 0x424635eb, 0x1dd7d035, 0x963a9ec4, 0x34e887b3, 0xa60a3e06, 0x4ce19486,
+    0x225863d6, 0xa21f1b6d, 0x7f65184d, 0xf17a91aa, 0xa81b160f, 0x2d7f4e29, 0x215f0c57, 0x82e450d9,
+    0x853f8133, 0xa57e3d73, 0xd3e44e5f, 0x59507277, 0x439a27e3, 0x3249a625, 0x53dd9e0b, 0x61d2572f,
+    0x1069acbd, 0xc25fdb73, 0xb8ce42d4, 0xb84d67fc, 0xde594c03, 0x6e55a268, 0x8bf328d3, 0x7602ac3f,
+    0xeacccd2c, 0x32984cb0, 0x2db1c9e7, 0x67f2ef1d, 0x0c976e79, 0x80b5cd92, 0x46a7c5d5, 0xc2c4d9a1,
+    0x62f5417b, 0xd171b0f8, 0xb3de2ab0, 0x25b7069e, 0xa5f9c8b2, 0x28952bae, 0x63fc440a, 0xfe483fbe,
+    0xdb89a156, 0xc8f5145a, 0x211bda4f, 0x4dd1a4ad, 0xc4797c71, 0xd42b248a, 0xbe2c0bbc, 0xf392fe6c,
+    0xe2fb9af4, 0x34b5be12, 0x140b1e36, 0xbdd5b0d5, 0xe5312a8a, 0x2ecd5bd5, 0xae266243, 0x9e6f1d0b,
+    0x3718577c, 0x1d820246, 0x74a53c64, 0xc2945e8c, 0x35ef595e, 0x3b38f03a, 0xcc12fc37, 0x4c5875c1,
+    0x0ad9d947, 0xff277029, 0x40b4062a, 0x443dcae5, 0x23a7b9ae, 0xe08ac918, 0x4ebac8ad, 0x8d526543,
+    0xff47f1c2, 0x92b4409d, 0x5be56786, 0xc295786a, 0x37cf553c, 0x3f5d27e9, 0x0a0e9ed7, 0x0a67ce01,
+    0x497fb76b, 0xc386b00b, 0x91079cec, 0xf739d83f, 0xd6fcac4e, 0x79355ed4, 0xdd6df5b7, 0x4312acea,
+    0xebff53f7, 0x873859d2, 0x77ca08e6, 0x060a94c2, 0x0e2bce60, 0x004dab5d, 0xa73b8f3d, 0xc0a08bbd,
+    0xfda5a39c, 0x1b62b4ef, 0x2f4948c2, 0xe81dad38, 0x27c8e69b, 0x372c1307, 0x3641c2bf, 0xb7e82649,
+    0xec46cdb6, 0x27d26a3f, 0xa4674753, 0x35d43639, 0xb647f76d, 0xd9af0571, 0x722f2f5b, 0x8947f4fa,
+    0x1b622c72, 0x828564bc, 0xd0913f20, 0xb4a95d00, 0x79f740eb, 0xb7bff84b, 0x58d43572, 0x9721ec96,
+    0x46b1e592, 0xacfa6847, 0x9675c1c0, 0x49394829, 0x617d2476, 0xacd346f1, 0x58762476, 0x25f388bb,
+    0xa748d902, 0x180ab366, 0xb968d111, 0x62457143, 0xbf2b7e30, 0xb63c0698, 0x83939797, 0x18a472b7,
+    0xba1019c1, 0x465dac7d, 0x4b9b518c, 0x0ddca2f9, 0xa2ac11eb, 0x10c952e3, 0x792a457f, 0xffd4437a,
+    0x7958cd6f, 0xb23f931a, 0x15535565, 0x9ae6aeee, 0xa804d3ba, 0xc91859cb, 0x0407f93d, 0x661a06ac,
+    0xa154eeea, 0x0fd07a1d, 0x06bf837a, 0x27325420, 0x2fb00227, 0x20711ef6, 0xb398d4b1, 0x5453124f,
+    0x5f67147a, 0x9f2cd95a, 0x8c7ee8e2, 0xdeffaf3d, 0x90bfc32c, 0xd922d1b8, 0x3ef17a3e, 0x19404f1f,
+    0xcdc07516, 0x72c51e05, 0x6e693633, 0x940065b1, 0x624967b0, 0xe203e637, 0xdf7b41c6, 0xc462d5f5,
+    0xc81d3ade, 0xf04b925f, 0x9fb1aea7, 0x97849f75, 0xcb974d2c, 0x0a3ea9e6, 0x3a037839, 0x38fa5aa0,
+    0x25624ca5, 0xa6d88fd8, 0x39456c48, 0x20d50012, 0x0c5da8f7, 0x11d39eaa, 0x984548b0, 0xb0ad4085,
+    0xa0130476, 0xdbd584d2, 0x87681a79, 0x1a9e3e71, 0x15927ffd, 0x3a6d13c1, 0xb9c46034, 0x1332c1c4,
+    0x5e42d290, 0x173f3880, 0x57caa46f, 0x934a9546, 0xf7e2cfc7, 0xa1afe898, 0x401f635c, 0xd948ea28,
+    0x41a971cf, 0x429dc284, 0xb4f0acc0, 0x2abcc9b9, 0xd99944b6, 0xa5c3fe36, 0x7e784b82, 0x8ffecedf,
+    0x783dc5fc, 0x4cd53751, 0x9e4da6e2, 0xc57348c7, 0x502308b3, 0x38230172, 0x715a4022, 0x65abfcdb,
+    0xca15c121, 0x867d0995, 0x0288d1b1, 0x37a3c479, 0x34f4d88a, 0x38508365, 0x17794518, 0xafe2333a,
+    0xbb9ce2c5, 0x783ae83f, 0x3de4252a, 0xdf5910d7, 0x1e8bf6cc, 0xaa73cf29, 0xfa9fb055, 0xd88ffeb0,
+    0x28bb216c, 0x18cf5c36, 0xd4f726ca, 0x6547c32e, 0x04faf7b9, 0x726a3756, 0x084b7899, 0x819d7100,
+    0x67fb319d, 0x7b27235f, 0xb1db8e8a, 0x8e967ef2, 0x79c99a63, 0x0dbcf87c, 0x35948163, 0x782fe4eb,
+    0xd81d7876, 0xaad3ecfc, 0x777837eb, 0x33e80d30, 0x50608ea4, 0xa411325a, 0xcfaa8040, 0x9daf6d53,
+    0x909d2193, 0xf587a4cb, 0x1ca1b673, 0x0c9cacc5, 0xdc922bf8, 0x251d3789, 0xc8887af1, 0x62526b65,
+    0x2a24143a, 0xfb487a92, 0x33b009f4, 0x423844a2, 0x1db1a91e, 0x174936dd, 0xbf08395c, 0x1f8de010,
+    0x2e04dbf5, 0xa524d916, 0x296fabbc, 0xf9b06ff3, 0xd2010d9b, 0x11e353a2, 0xb650199d, 0x71ed93a3,
+    0x7ad11b43, 0x735805ec, 0xc68034b0, 0x3e74aad1, 0x3d1a9963, 0xef7150ab, 0xba3963a5, 0x2ba9c3b4,
+    0x97746cc4, 0x764145ad, 0xbf287808, 0x1378d314, 0x5f8de0df, 0x1ece04de, 0x0800c09a, 0x8380464f,
+    0x6eb7860c, 0xbb700f08, 0x378b236e, 0xfaebd00d, 0x4ffbd8a4, 0x2619aabe, 0x7f0bc17b, 0xf3455b2c,
+    0x7d18439e, 0x9b437045, 0x0ec08c11, 0x15594148, 0x8a89b016, 0xa4b4d14a, 0xe918e9da, 0x9eb4c5c9,
+    0xa19edf6d, 0x26bbfebf, 0xf36a0361, 0x66d5ab5e, 0x98abdf4b, 0x847bb593, 0xb26f6d27, 0xf04aa2f0,
+    0xaf70ac3f, 0x132546b6, 0x9d8c9519, 0x3922916a, 0xb6b72817, 0x983514c0, 0xd8c9b2df, 0xf7a11dc0,
+    0x68aa26f0, 0x6e1fabff, 0xb0fadb02, 0xe3fe0764, 0x3cae08b0, 0xaa03ad07, 0x55694813, 0x47ac1278,
+    0x1523159a, 0x4333178d, 0x7912d877, 0xa8b53161, 0x85622fc0, 0xcd631d9a, 0xb3c54476, 0x36b2e171,
+    0x468851ba, 0x6fa89058, 0x3bc16dcb, 0x57a4c18b, 0x7aa79c31, 0x160ac7ac, 0x4606ae12, 0xde5b38af,
+    0x57858962, 0xf11eae5e, 0xa1d6e95d, 0x1ad8c5e0, 0xc7eb021b, 0xf08c1f0d, 0x430ce614, 0x722575a5,
+    0x3a2c0966, 0x0bdf6988, 0x9da23594, 0xbb3c6d25, 0x816315f5, 0x55b406aa, 0x4e95e99a, 0xbab06761,
+    0x15367247, 0x41298360, 0x58c8c13e, 0x4c17656a, 0xeffef90d, 0x5e82206c, 0xb4efea94, 0xfd90f01d,
+    0x2271463c, 0xf0135e4e, 0x82a07f60, 0x9c687002, 0x1c2dc356, 0xd2e3f557, 0xc6889bfc, 0xb44d4b7a,
+    0xad80eadc, 0x6ea776b2, 0xd7b35112, 0x851b267c, 0x526d66c7, 0xcbbf4028, 0x4557725b, 0x836b0a57,
+    0xb9ba3edd, 0x994f0797, 0x00a75ea3, 0x5163ba22, 0xe4462ba0, 0x24b4cc1b, 0x3d16232d, 0x80d55c29,
+    0xd2928184, 0x1eec3f29, 0x35241587, 0xe516fcae, 0x2f07c5ed, 0x9c157817, 0x48f242ed, 0x60a050ca,
+    0x37eeb45b, 0xa3c77b0f, 0x276ccd98, 0xef70ee32, 0x8a40c11e, 0xdd803dab, 0x505df180, 0x663907be,
+    0x743833f8, 0x01539b06, 0x7ce083ec, 0x3915e331, 0x27fa0d7c, 0xd752a9fb, 0x09ce912f, 0x05e77066,
+    0x9e3093e3, 0x7a8f5d23, 0x118bd151, 0xd041e531, 0xbe312fd7, 0x7e4a88e0, 0x11f80ff6, 0x177d0b33,
+    0xd2d51c5e, 0x52bf1c89, 0x122e0209, 0x2299653c, 0xe1a25f1e, 0x215d4700, 0xf4b58f44, 0x5fac62cf,
+    0x0549b6dc, 0x6020744c, 0xbd56b2ad, 0x3a92c14c, 0x0ce5920b, 0xb4348779, 0x28ce57ee, 0xa82c6794,
+    0xd21e8eaa, 0x46c40226, 0x7ade693c, 0x5886b9f4, 0x0520c9df, 0xea46499b, 0xa9e2fe3a, 0xc1ed805c,
+    0xf447cf8d, 0x617e4615, 0x11f9077a, 0x12744984, 0xddc8fce5, 0x403e05bf, 0x52f6c97e, 0x7a55a814,
+    0x1940cf82, 0x09f0ff46, 0x11da5da9, 0x58d8c65d, 0xe98ece7d, 0xb4a00671, 0x99c5ab04, 0xf0082946,
+    0x646b0728, 0xf74042d3, 0xfdaab1ef, 0xb73a632e, 0x765d6069, 0x289ebd27, 0x2c60b212, 0x1199bbcb,
+    0x63bb7cce, 0xd5616f40, 0x8c589da3, 0xa0e6fbfd, 0x178ae038, 0xde40b478, 0xec97707a, 0xbdcc6228,
+    0xe2bbb1c5, 0x44bef275, 0x705e3ab4, 0xb1239596, 0x66423803, 0xe595680a, 0x18741244, 0xff3c813e,
+    0x761084f5, 0x1d080ac6, 0xdddaa19a, 0x59149c81, 0x01f46d0b, 0x5c8205f7, 0xd1ac39f2, 0x8b3b0643,
+    0xe121e9d7, 0x9ae6e25f, 0x91f4991c, 0x07839626, 0x97e06bcc, 0x5c95d3e6, 0x05f75c18, 0x3a106d81,
+    0xe9e0e791, 0x910c08bd, 0x5e20315e, 0x8bf1dd75, 0x0b5d7bbc, 0xaa7849d5, 0x163fff71, 0xfc27fdfc,
+    0xb7047c05, 0x3524022e, 0x07c81d4a, 0x127d92d1, 0xcffe4cd6, 0x4438806b, 0x036754f5, 0xbdac6222,
+    0x01f46dfd, 0x6ba0df23, 0x1adfe551, 0x9a00d218, 0x38e03c5c, 0x807bef40, 0x2e4a659d, 0xa0008813,
+    0x96d2d9fc, 0xff7fd8b7, 0x07681842, 0xd9690ad3, 0xdac36a1b, 0x49827040, 0xcb2ffbb5, 0x404d10a8,
+    0x74b92426, 0x66a441e6, 0xa769af19, 0xfc46e293, 0xc244ef59, 0x2d727bc7, 0xf0255a59, 0xd6f0f6cc,
+    0x9b6da17f, 0x9f23ad17, 0x664efd82, 0x1145fe0e, 0xb8cc9719, 0x83c9b57c, 0x30b11618, 0xebc7b916,
+    0x6d8ba3f9, 0xe4cfb159, 0xcf269c63, 0x6e778def, 0xc0ce3c78, 0x8c0fa5b8, 0x69c01da0, 0x96fb5600,
+    0x525c1129, 0x4432ff53, 0xb2f6b139, 0xc3051f19, 0xa3ad8ff5, 0x58e0af52, 0x3101a608, 0x73ea4d18,
+    0x9bd3b147, 0x811346cc, 0x66db1ed7, 0xd66864c1, 0x6ca7c999, 0xa119e48a, 0x82db1161, 0xd54b5a46,
+    0xa661d109, 0xae2362d4, 0xf93582d1, 0xcc7b547b, 0x6d326a82, 0x0ff560b5, 0xb2aa22be, 0x5266158f,
+    0x108a6d9d, 0xca310f06, 0x336003ab, 0x33ba43a5, 0xd3aea2ca, 0x55061041, 0xe5731399, 0xf701d61f,
+    0x65e11cc9, 0x9c7850eb, 0x7a5c21bb, 0x2ff0e011, 0x4b0ee006, 0x122edee9, 0x0a6fa4bb, 0x5b4283db,
+    0xd8a1c6e6, 0xb6435dab, 0xca6925f2, 0x26036ce4, 0x1ad56f8d, 0x49a2e0fe, 0x6b4b1d54, 0xcad53e95,
+    0x73708821, 0x4f9f5676, 0x24300335, 0x9134e824, 0xac71ac8d, 0x8a7f6be4, 0x1f7890e0, 0xce07e2d0,
+    0x04cde3b3, 0xf535deda, 0x4245ba89, 0x85b374ec, 0x9cbfc1fc, 0x1a5cc01d, 0xa4fd62f8, 0x82b9a441,
+    0x4550b9cf, 0xcf96d1ba, 0x817ed2da, 0x7a542e3f, 0x7c89af88, 0xaf8e912c, 0x61324ad9, 0x094ed41e,
+    0xb9002367, 0x79f73d00, 0x727adf15, 0x72825642, 0x9969f4d2, 0xda5cd4ef, 0x8501ba2f, 0x48fd51c2,
+    0xae201cdb, 0xe06d4c98, 0xa008dc9f, 0x5c014292, 0x29e2ff3c, 0x090f4e4b, 0x26ec6a79, 0x0dfed2a1,
+    0xba3d800e, 0xd9660c1c, 0x4c9c8222, 0x337e3d22, 0x2e859cf7, 0xaf57e9f1, 0x2a8aa06d, 0x5d0ba06f,
+    0x7ac1af89, 0xdf6b9c42, 0x685269ad, 0xa653fa3f, 0x767d866e, 0xdd77b80e, 0xf57f8c18, 0x67950339,
+    0xa8475baf, 0xcf5e868b, 0x0620f2d8, 0xf1ee6fb4, 0x35299b9a, 0xf23a22d3, 0x7e78d409, 0xce8f3cfb,
+    0xabd0ed4e, 0x3ffb5606, 0xeaa41ab3, 0x7e298802, 0xf85befc3, 0xe542f669, 0x86d83daf, 0x42f7029a,
+    0x33bc9d8d, 0x01830f28, 0xdc436cc8, 0x1be344a2, 0x8f9273f8, 0xba9e2084, 0x7e54bdb7, 0xc238cc8d,
+    0x6ebcd50c, 0x75983bb1, 0x45309310, 0xfce0aacb, 0x60740f17, 0xf4218eee, 0x67b07755, 0x8d24986a,
+    0xd8282845, 0xb2d4f734, 0x4b3cb645, 0x19955112, 0xb36c6ae3, 0x9e737f2a, 0xa9218522, 0x60f5fe14,
+    0xf628c9b7, 0xe380aa3b, 0x64baa916, 0x255cf5f3, 0xf7981175, 0x26070918, 0xc41d7a2c, 0x2f0dc93d,
+    0xa9fb8d33, 0x55f27368, 0xf6b3950b, 0x0ffb0081, 0x6b2c8942, 0x8d6bfa2d, 0x63f33755, 0x7d239f93,
+    0xd347291a, 0x3386ffbd, 0xef20f842, 0x9ac7c8c2, 0x2800d33b, 0x5386d69b, 0x61af88fd, 0x6aa1ca46,
+    0x15c2cfcd, 0x40962dd6, 0xf65fc756, 0xdebc1b10, 0x18e5cd31, 0x750a278d, 0x0a3c0d63, 0xd0d378d3,
+    0xa1f446bc, 0xca07e997, 0xffe71732, 0xfe0dead9, 0x1fe5c09c, 0x1c87afeb, 0xb1d2f47b, 0xf4fce195,
+    0x71950f38, 0xb666c796, 0xfeeb36d4, 0xe86a10bd, 0x5e0e1ec5, 0x14ae694a, 0x36221e09, 0xb42257be,
+    0x7f64afd7, 0x14aec00a, 0x1d739439, 0x4506f335, 0x826dcd40, 0x407dff60, 0x77037137, 0x72f3bb30,
+    0x0d692820, 0xa7b7fc37, 0x4d7a60ea, 0x32727a83, 0x5f47c367, 0x7e71195e, 0x56b3308b, 0x3b52d361,
+    0x1a70e0a4, 0x7e5f4188, 0x31bf6d2b, 0x92213756, 0x7e79a182, 0x15f37fe4, 0xc206a393, 0xf62124ac,
+    0xb42ed916, 0x474a50c1, 0x134caea0, 0xf7edf1a5, 0xf82f1957, 0x55efc601, 0x6ec15eeb, 0xd14a1c2f,
+    0x1f59c089, 0xbd1f22b6, 0x970cc539, 0xe0df4cee, 0x8097d8e9, 0x5f89b072, 0xd8fe0e99, 0x36793f58,
+    0x5b8a8678, 0xd1666bc0, 0x26da7dae, 0x1bf0a052, 0x55db2976, 0x88539ac7, 0xc24b822e, 0xd1297fd5,
+    0xe1df6983, 0xb68272ee, 0x0603c5ae, 0xf4d9f814, 0x7a58d789, 0xb38eb710, 0x5e6b4229, 0x6be56976,
+    0x4012f259, 0xa0a56eca, 0xbe1439e1, 0xf1f9b9fc, 0x89f9d950, 0x20707509, 0x2b910428, 0xfb87996b,
+    0xaeab2549, 0xa0fda63d, 0xab02e73b, 0x1dba5ecd, 0x02403ee7, 0xe885b8f3, 0xbeaaf4c9, 0x9b9baf2e,
+    0x6da03276, 0x5b43d555, 0x013ece82, 0x5f3a87e2, 0x5ba642ca, 0x4dff5352, 0xc9637e0f, 0x65a9ef35,
+    0x062eb931, 0x00a0ce11, 0x58f0655b, 0xcf23d933, 0xceed135a, 0xe209787a, 0xc176bee9, 0x81508d1b,
+    0x0b4a6d63, 0x3f27acc4, 0xd5ffbc97, 0xe9402273, 0x1d51c0b8, 0x4a2a94f6, 0x3dcc5f6b, 0x0f04c876,
+    0x09656635, 0x0f5296fc, 0x81c87d02, 0xeeb262a9, 0xee003d3a, 0x93020a88, 0xfe04f29b, 0xc12c568b,
+    0xeadc3ee4, 0xd3db09b2, 0xde77db98, 0x7c781705, 0x9174c9a7, 0x969748dc, 0xac213b9a, 0x6289c20c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000040564819207303340847894502572032 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406db, 0x502402c8,
+    0x00000000,
+    0x98747d1c, 0x6862a312, 0xcbe73f9b, 0xe132320e, 0x2bf1f7f8, 0x816550f8, 0xed3a5825, 0x06a67285,
+    0x88d4cb98, 0xc57cb735, 0xa2918afd, 0x6a2d5757, 0x43c645cc, 0xb31aca04, 0xaa2de06f, 0x9896a797,
+    0xce989be7, 0x303b3427, 0x431dd612, 0x7c2b068a, 0x396c6ca4, 0x5f4b91af, 0xe7ce3a91, 0xc9408434,
+    0x1a9f01c6, 0x85d5d68b, 0x428822b5, 0x761abff3, 0x3b1a4f33, 0xdf8dfc40, 0x9c2934b6, 0x0082a023,
+    0x8769180b, 0x17015342, 0x1e75e6b9, 0x2421ba8b, 0x5ee74578, 0xe491fd67, 0x37fb4e5a, 0x89058867,
+    0x2c263cc4, 0x5259561a, 0xce19a5bf, 0x7e9a8e70, 0xb46d1c13, 0x0b1cd11d, 0x750a8b32, 0x2cab0b0a,
+    0x70a0b001, 0xb481000b, 0xc351b481, 0x814ea28f, 0x2a1e0577, 0x5a90c0bc, 0xaefdf581, 0x3f7032e0,
+    0x8b5282ad, 0xc36dfa1c, 0x75cfdf4b, 0x6c8e285f, 0x2084ec1e, 0xd8e11d58, 0xf2e5d3f0, 0xdeb6b565,
+    0x0cf29f13, 0xd3048029, 0x9c689b48, 0x8a249b40, 0x665a47fb, 0xf10f3f1b, 0x8bdaa19e, 0xe7e767ec,
+    0x72099410, 0xab67b909, 0xfad052be, 0x5ee704db, 0x808a76e1, 0x6bfdf6a1, 0xdc4c0201, 0xc6386880,
+    0x0f04f726, 0x143701c3, 0x541f8201, 0x45db4ca4, 0x895bb724, 0x7ca7adf0, 0x31b016a5, 0x9cebc8e6,
+    0xa9c7a263, 0x32cac0ff, 0xf1a02f5b, 0x10659c50, 0x79328297, 0x0cbdb969, 0xa02bb527, 0xfa80c80c,
+    0xb7ec7733, 0xd0935026, 0x581b620f, 0x7300449d, 0xc7933cec, 0x361e7d10, 0x94090f1f, 0xf3acfd9b,
+    0x5994eff6, 0x1ffe2681, 0x1c089013, 0x5df16d9c, 0x3b08f6a1, 0x58eb17b9, 0x7348c726, 0x43482e1b,
+    0xe1891ecb, 0x2b9edba5, 0xe01d3766, 0x1236fbe9, 0x080977c2, 0x603dc5f6, 0xccaa04f3, 0x64e16387,
+    0x3e0b1d0e, 0x5d9ec388, 0xc7159a3c, 0xcb5494b5, 0x2efc39cf, 0xad078756, 0xb39af193, 0x0f24cee9,
+    0xd7be015f, 0x055d5643, 0x17e201ec, 0x6bda4872, 0xa7827fb6, 0x2c896e16, 0xa5f8dff8, 0x569e873d,
+    0xb58eddd7, 0xfccfb13a, 0xfbd2f611, 0x10051a70, 0x08706493, 0x747f5557, 0x1670a874, 0x9ba1cd8d,
+    0x1563fd9b, 0x3fa41bfe, 0xcde0b5af, 0xb9f9edc1, 0x00120f23, 0x6e34be01, 0xfe271ded, 0xbf55c22c,
+    0xe47cbfba, 0x6ed37155, 0xa6bb7547, 0x59369d6b, 0x53186e21, 0xeee3e7bb, 0x1cfdc90b, 0x27db45a4,
+    0x4719e252, 0x295cd4dc, 0x47aac870, 0x993ba37a, 0xa37b26f4, 0x0fd6b5f7, 0xb5075500, 0xb820cf86,
+    0xf6990314, 0x4f90679f, 0x31b4bd26, 0xe680cc0d, 0xb24dcff5, 0x69afcc64, 0x3fc8ffe2, 0x82fc77a6,
+    0x79b34703, 0xc2280cf2, 0x73109738, 0xf03b43f4, 0x28e351f0, 0x732c8a77, 0x91d237f2, 0xa3746cf9,
+    0xfd881edf, 0x1c747641, 0x224ae4eb, 0x11c5bd49, 0x570e57e5, 0x7469d0a3, 0xe508d6c2, 0x2ac02ee3,
+    0xd45e38d4, 0x1ab8a19e, 0x7d5a1c52, 0x73ce808b, 0x86684793, 0x17283d5e, 0x0b8b6964, 0xa697fd8b,
+    0xfba98d7a, 0x5fa2c7c5, 0xe4acb0aa, 0xf67bbd6d, 0xb1440fd2, 0xc04f99e4, 0x88773e78, 0x0fd5e644,
+    0x6ed3c59c, 0x2f11b8b5, 0xe1285698, 0x88ada629, 0x03d0f34f, 0x5c41810a, 0x9be9097b, 0xf3d12188,
+    0xfbb7492d, 0xbe33e7eb, 0xf8615027, 0xda41ad07, 0xd4257d72, 0x746285a8, 0x35d3193b, 0xc612416a,
+    0x0ae718e2, 0xa5b571a9, 0xbb44b7c3, 0xba1fbee2, 0xd710c8e5, 0x638b991e, 0xe32cc261, 0x8831cfb2,
+    0xd0bd1af0, 0x00614086, 0x9cb3cd25, 0x056176ed, 0xbd924635, 0x9fdcf74b, 0x8b63a96f, 0x016b91dd,
+    0x05b94fe6, 0xf0865357, 0xeac01983, 0x8e3ae696, 0x43f30f26, 0x51999d84, 0xc5ff9fd5, 0xe353a83e,
+    0x5c3ddade, 0x3f04a230, 0xf6d01b4e, 0x4fea7d97, 0x8e2697bc, 0xb55d9c4a, 0x11b08fe1, 0x5f47eed2,
+    0x7c41268a, 0xe45b344e, 0xb56c4a91, 0x20f3e06e, 0xe8ea1434, 0x50092909, 0xdad3cd8d, 0xa7a2dc90,
+    0x8315f793, 0x41eed235, 0x6aee6f59, 0xe610c99d, 0x9a5a1fa1, 0x6cb9528e, 0x8802cb53, 0x68e325d1,
+    0xecf7a3e8, 0xbea8acac, 0x1b722d8d, 0xb3f97bdb, 0xef5ce011, 0x1731b793, 0x2bd16607, 0x8a105216,
+    0x6463d4ff, 0xc9a424f9, 0x67f7631f, 0x9af9cf85, 0x60355260, 0x5e484688, 0xfd0c28fa, 0x066dc7fe,
+    0x164ccdd5, 0x89f7c94b, 0xae7ea0a9, 0x001a02d9, 0xcc00d561, 0xda49cbed, 0xe242b1f1, 0x3ea9fbe3,
+    0x1b55b06a, 0xcfbf5fc4, 0x1ff7943c, 0xba576ea2, 0xa889f4ef, 0x7c14f798, 0x5ea7e566, 0x1dbb6d56,
+    0x330c5217, 0xc983f828, 0x30327f1e, 0xedfff09c, 0x31e8c622, 0xb564a6bc, 0x0a6c36c4, 0x5d0b2e9c,
+    0x6d5eeffe, 0x79b6592f, 0x5244f843, 0x5b9f7b84, 0xe5865f0b, 0x53fe4489, 0xd11d787d, 0xbe0ce6e6,
+    0x3befc69b, 0xa693c609, 0x82ea9631, 0x73c18565, 0x213ff7e1, 0x8368bf57, 0x5e5cdbb3, 0xd47bd17c,
+    0xd63f019c, 0x02bd19f3, 0x105c75bf, 0x1421cfea, 0x399c6eb4, 0x6eb4c3d8, 0xcc43b174, 0x5dab29da,
+    0x71f8a811, 0xb91a0a4a, 0xb41ef325, 0xcfc4097b, 0x9924ec77, 0xeec58b90, 0x7351bde3, 0xebde391a,
+    0x7bca56b0, 0x6508eecd, 0xedac0477, 0x91d060d5, 0x9558aa39, 0x7227b9ac, 0xd837bddb, 0xcd913c21,
+    0x63379234, 0x8da261fd, 0xdc51d6c9, 0xbe240b82, 0x7f910657, 0x92ca0577, 0x1590aa58, 0xeb4d9bba,
+    0x05b93d93, 0xa3ba04e9, 0xccca7fa2, 0x2457b0b4, 0x804967a4, 0xd37ee8ab, 0x1be39b37, 0x2af367bb,
+    0x380ede51, 0x78b919b8, 0x7a8a0fbc, 0x0302bd25, 0x074482bd, 0x061879cf, 0x6e5ff414, 0x058b0427,
+    0x624d0d97, 0xcb5e0b08, 0x9ced6b78, 0xa0698ba7, 0x792ed1b7, 0x772eb6a8, 0x6872ca0b, 0x866678c3,
+    0x0bc05d4b, 0x9e465e08, 0xeb32569b, 0xd190ff63, 0x1caa76a4, 0x480a223b, 0xdcba97e1, 0x964995fd,
+    0xc0f3e08c, 0x74d19388, 0x7db018c4, 0x1045555d, 0xe04413df, 0xe82693eb, 0x2d180959, 0xdf84ef05,
+    0x06972485, 0x2ad3321b, 0xf399383e, 0x7b2c6fcc, 0x3de6dbf8, 0xa2b56746, 0x08872c37, 0x2aa876af,
+    0x7f017e24, 0xce33c1e1, 0x81e2724d, 0x1b436e73, 0x316b1760, 0x094797d7, 0x7710bfd5, 0xb3893bff,
+    0xe6fbd300, 0x5d40ce13, 0xc4f7312b, 0x98a064f8, 0xe9e69b36, 0xa8979955, 0xf435e6a7, 0x09d5ab88,
+    0x3974fc22, 0x59b1456f, 0x820eb0b7, 0x1ce89f15, 0xf263368c, 0x843fefad, 0xbf2c7143, 0x90bbf066,
+    0xc58d3c6c, 0x262a9d0d, 0x3b7244ae, 0x0cc5679c, 0xc514f95d, 0xfd22efb7, 0xdf86edda, 0x4b245f37,
+    0xe3f757e1, 0x22fc23d6, 0xd8ba55e1, 0xdde5a31d, 0x1a10aad5, 0x4067c49b, 0x392f52b0, 0x4361468b,
+    0xea1b32f6, 0xb6ca8e96, 0x0cf49638, 0xa68a0547, 0xb2142312, 0xf6820b70, 0x7745bb06, 0xaf46c7a6,
+    0x5c594153, 0x2ba08cbc, 0xb519b1cf, 0x80af9e83, 0xfaa768a6, 0xa6b68bca, 0xcb653241, 0x834becba,
+    0x3d4e9822, 0xc97f19cb, 0xce86c6c7, 0x23b99f7c, 0xd36f497d, 0x10f973c7, 0x04d20499, 0x8bd354fd,
+    0xdd0045ec, 0x7ffdedac, 0xeb8f3512, 0xf30bb82c, 0xe831105f, 0xae0604de, 0x7efd5a6f, 0xcd396943,
+    0x0f480366, 0x3f1b3b57, 0x6ae9e942, 0x48101a93, 0xf260555b, 0xe0e5c0ef, 0xd8a833d6, 0xe8921372,
+    0xd1220a00, 0xdd8d576a, 0xfcce0b84, 0x7ef031de, 0x8cec0f0e, 0x68b0b215, 0xb56bad3b, 0x0a275589,
+    0x48f51a1a, 0x5d7d8369, 0x968729c7, 0x95f28404, 0xd753d5b4, 0x8396825a, 0x1651cf5f, 0x7306bb1d,
+    0x74fadbe5, 0xe85b8614, 0x507e44fd, 0xc961bb53, 0x3bf17468, 0xb9cfb84e, 0xf468c303, 0x114d7a18,
+    0x4efdc88f, 0x1e5739cb, 0xd66fbb5c, 0xdd526a2b, 0xdb313fdf, 0x27df0da1, 0x6fd52e42, 0x49883a74,
+    0x9751c014, 0xe2fe7999, 0x091cd59e, 0x5e5b9983, 0xbc8deb8d, 0xb14ceef7, 0xec85a847, 0x0c5365d7,
+    0xd45cfa31, 0x8f47c5d8, 0x83c5cd27, 0x6b0ff2e5, 0xb4b68a9e, 0x415d0187, 0x6ca6a3da, 0xb7d0027d,
+    0x2d3d0d96, 0xf369863a, 0x5b805203, 0x9270bbf5, 0xe103b076, 0xae2e654d, 0x6f38777c, 0x8f51bda4,
+    0x870c1349, 0x90395604, 0x3c7b3fd3, 0x74e4e400, 0x63b9ae0c, 0x2c172659, 0x51de5a4c, 0x8a9488c9,
+    0xbc4154fb, 0xba67f6a4, 0xf4b33928, 0xaca88cd3, 0x69b53309, 0x3134ddd8, 0x7edbd006, 0xc3ba5592,
+    0x8f331ae0, 0x8f433020, 0xa89779fe, 0x62cb31f3, 0x071dff8f, 0x10a7b765, 0xf22b1f30, 0x67e4026d,
+    0xe4435ac0, 0xbb0e0fd8, 0xef8ae3de, 0x28cd7e33, 0x06ce9c82, 0xd6d7e378, 0x5d33b1ef, 0xc5698d2c,
+    0x2b37f113, 0xa350758a, 0x7d6db257, 0x8080868e, 0xd4ea1d21, 0x924e4795, 0x7501b46a, 0x5adefc3e,
+    0x5a0b745b, 0xe25b4ee3, 0x60e6886e, 0x003bd04f, 0xdabc1fca, 0x4825cb6a, 0x7bee4e4a, 0xa94fdf8e,
+    0xa85c5c36, 0x7617cf54, 0xc8f35eff, 0x92348cd8, 0x2ec3bdff, 0x1998f274, 0xb3cffc07, 0xa934aa38,
+    0xd16e54dd, 0xb95e585a, 0x25c30888, 0x2bee9cb3, 0xb67edd11, 0x32ef2f16, 0xc5a376b8, 0xbc28d9df,
+    0x2245285b, 0xb9951a14, 0x044b0aed, 0x2e46bbbb, 0x2f10a3ad, 0xe2fe0fd0, 0x2e77eada, 0x587ab88a,
+    0x032d5f0d, 0xe1f4949a, 0x00825e37, 0x4ec87114, 0x2f78227e, 0x31a0bbb3, 0xdfda9216, 0xdd9c43c0,
+    0x445b055e, 0x4a6894de, 0xa7b3a576, 0x59a0cb73, 0x547407fc, 0x3790a13b, 0x2c832836, 0xf9f9b4b7,
+    0x0a3fa757, 0x2a55d3e0, 0x911c381b, 0xf5393bb8, 0x8151d198, 0x36001537, 0x668c05e2, 0xa49e267e,
+    0xa4ae0bdb, 0xd2f71555, 0x059c0724, 0x610a1b33, 0xaf6a2384, 0x922822eb, 0xaf96f93a, 0x9ac7e0f1,
+    0xd7118578, 0x96554f11, 0x2086f4a5, 0xe7c704d4, 0x560eb6e5, 0x3bb8274b, 0xfc22d038, 0x28c9532f,
+    0x83854791, 0xc436aca6, 0x8d8d4b64, 0x605598d4, 0x0b886740, 0x2c03c40d, 0x641d5a00, 0x4de53bec,
+    0x6b7aeb0f, 0x0304ece2, 0xbc78c0a4, 0xabb1ee2e, 0x48caf014, 0x1f390aa1, 0x8fbd06d5, 0x18e10492,
+    0x1797687e, 0x75bb8fa4, 0x2a87d4bf, 0x3fab4f8c, 0xe0144d95, 0x3980881c, 0x3f37a752, 0xd7d77e91,
+    0x8b296dda, 0x32504d74, 0x6fd26d9b, 0xb1c97bc7, 0x62906475, 0x8cd89f97, 0xb7c054c0, 0xc36f4b44,
+    0x6a1199bb, 0x6fdddaa1, 0x378fc8ba, 0x1853d5e9, 0xc73dd0d2, 0x04b71a0a, 0x43f7dfc1, 0xc9d6a5ff,
+    0x212a3e35, 0xc4d914da, 0x05203cc9, 0x69f7ebc6, 0xf5322dc1, 0x7c7c0d28, 0x5d79012a, 0xe685f65e,
+    0xbfbcebe9, 0x20a0acb7, 0xa61d07b1, 0x9273188d, 0xbb34510c, 0x3946e46a, 0xd17d5b2e, 0x811ae921,
+    0x7a217972, 0x8288f1de, 0xee89e59b, 0xf9d123a9, 0xb5781569, 0x3727ae27, 0xfe7f8bd7, 0x85baf5ad,
+    0x4a2f484d, 0x2d48c674, 0x1d0d3f41, 0x46c022e9, 0xb7f710ca, 0x3d2dda7f, 0x56bbbfba, 0x3c0db1d0,
+    0xe561be62, 0x093ac44f, 0x28188b4a, 0xbd75e36e, 0x819184e9, 0xfbec4ddf, 0xb1924cb6, 0x14366d4b,
+    0xb1b62b09, 0xc8c91cbd, 0xba9a3ec5, 0xd4e2a1b9, 0xc3238e0c, 0x8d8646d3, 0x0d41a23b, 0x3e4453b4,
+    0x515b1708, 0x33f49601, 0x3e5cbe11, 0x932789c3, 0xb25cad16, 0xe484a60f, 0x2adf2a28, 0xcdb14c6b,
+    0x75174756, 0xb4c57034, 0x200e0077, 0x7a3d3c19, 0xf5dba602, 0x0e7df06f, 0x3a99e84e, 0x8e935ee9,
+    0x118aad68, 0x5b073c2a, 0x1d4dca31, 0xadd592db, 0x86fad24e, 0xcc9731d6, 0x37922d68, 0xf99231e1,
+    0xd1b72cb1, 0x34514089, 0x64823641, 0x266a6ed3, 0x0ce691a7, 0x49e101a8, 0x4a1d322f, 0x984da51d,
+    0xf4810a66, 0xea56dd3c, 0xb9a66ae8, 0x94f3d045, 0x3d884f7b, 0xe4cb907e, 0x416918e4, 0x9b5fe722,
+    0x661d41fd, 0x2be69d99, 0xaaeff694, 0x4816bc98, 0x0c2710c3, 0xb92c2aeb, 0x52497cb2, 0x119f0fbe,
+    0xdfdf2929, 0x274b081b, 0xadfba67a, 0xdd34373d, 0xcf564aac, 0x5af317d7, 0x32f48b14, 0xa246f627,
+    0x9753817f, 0x62bbfbda, 0xeb154e90, 0x5985dd94, 0x4cf28758, 0x8a8ca580, 0xdc928cc1, 0x751c9809,
+    0x58f2a1fe, 0x3ec4981f, 0xf47937c5, 0xf403089e, 0x47d496cb, 0x415ba09d, 0x47cd41b6, 0xe16dcaa4,
+    0x7fee0896, 0x40b49310, 0x74a56d4a, 0x88baee12, 0xb5f675ee, 0x0ae4ba3f, 0x2efcbc6b, 0x7d40715f,
+    0x434d3684, 0xb6d60281, 0x9cc154b6, 0xc75e60d9, 0xbb9f3587, 0x1df69a4c, 0x5b2e587d, 0x7c2f2128,
+    0x17dafeea, 0xa162871b, 0xf450736b, 0xf5e46732, 0xddeec644, 0x7f820b4d, 0x0e9b949f, 0x79815c2d,
+    0xec4e50a9, 0x2ae73d72, 0x99e49a80, 0xdd74a547, 0xd89c3412, 0xa92101a6, 0x0a24fc01, 0xb453fbad,
+    0xac3fe552, 0xdd0f1bfa, 0x76d54f4a, 0x5cbe799c, 0x576dfa79, 0x1bc307a6, 0x3be7f58a, 0x99b32b9c,
+    0xc33ab6b1, 0x88506b62, 0xf01817b6, 0x7eca2d2b, 0xe21a6f22, 0xf241d06e, 0xe0f9b2e7, 0x1d066636,
+    0x30226220, 0xa658a414, 0x59e4bf22, 0xe52cd714, 0x11aff59c, 0xe1d00492, 0xb1ee123d, 0xfe7b2da3,
+    0xc88a01fb, 0xc2b702c3, 0x35ecfebc, 0xd4171d80, 0xae5f75ce, 0x9810dc73, 0x949cb4e1, 0xee6eca5c,
+    0x02f368c2, 0x093be5cd, 0x910dd188, 0xede0f54f, 0xb105cac0, 0x07d19afc, 0x94cab105, 0xdf64ad48,
+    0x007fde3e, 0xf71437f2, 0xa6ae020f, 0x219e2d3e, 0x8eb43219, 0x643103a5, 0x14c19494, 0xe0d6a0d3,
+    0x250a6dc1, 0x2856f4c0, 0xc10c5509, 0x3b166676, 0x478f6212, 0x190949ce, 0x81aa87a9, 0xd1adc36c,
+    0x9911730d, 0xa6393c33, 0xf5fdad9d, 0xaeb89e35, 0x15f07e9d, 0x9e584f79, 0xf6d2bda6, 0x1e6fc3c1,
+    0x073c3b57, 0x03d6e1ee, 0xa869c704, 0x1d07cfd9, 0x47149958, 0x78bf416f, 0x629acac2, 0xc31137c6,
+    0x8b16d2dc, 0xf2157683, 0x8a420a34, 0x11945e99, 0xc417c3c2, 0x9eb1fab9, 0xacffc509, 0x0b1211df,
+    0xb44a82b2, 0xf4f87be5, 0xa5a324d9, 0x51af8f6c, 0x27728938, 0x145aa30d, 0xf3213f4e, 0x9d44cadf,
+    0xd08406d6, 0x32c538bb, 0x760efe35, 0xf907f04c, 0x4323e80f, 0xac4b17b6, 0x34ec1fd4, 0x00d7f19b,
+    0x72352af7, 0xe7bd8f2d, 0xd78fb8f2, 0x3cf0b19f, 0x083a732c, 0x7c5c1569, 0xe7c6d9b0, 0x96aee2a5,
+    0x6ea67a4b, 0x28bb4e12, 0xff84c1f4, 0x27dd5a9b, 0x92448a75, 0xed76bc22, 0xb189674d, 0xb9b2cab3,
+    0x636f3a84, 0x8d578ae9, 0x47bf8f58, 0x5b76c98f, 0x25adc5b8, 0x5a676d9f, 0xf749f99a, 0x8eef465e,
+    0x626cfabe, 0xb386b30b, 0x6e448c61, 0x8fad3e36, 0x83d49df2, 0x892b2ca8, 0x3d0371d5, 0x2e9bb567,
+    0xf3c3faed, 0xaee03a83, 0x43811d29, 0x5f6574ac, 0x47e30621, 0xa96aa8bc, 0x76fc60c1, 0xf5bf7b2c,
+    0xba79c843, 0xbe88aaa5, 0x704203e7, 0x7c7afb73, 0xf1006e33, 0x68061a60, 0xe99a5a68, 0x9aa02f8e,
+    0xb64cd63d, 0x8d4deed7, 0x123ad3fd, 0xe600c9c5, 0x8fae124a, 0x2e098d9b, 0xb6eb0a91, 0xb96c36e2,
+    0x3e56c60e, 0xd62d2546, 0x6ae9a481, 0xc0391aaf, 0xcc07c326, 0xc82412be, 0x273d1152, 0xfcef892f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000020282409603651670423947251286016 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036d, 0xa8120163,
+    0x00000000,
+    0xc58e692f, 0xc985182a, 0x5bfe3f47, 0xed67d12a, 0x4d992269, 0x775a1fd6, 0xc1ca990c, 0xaec93fd1,
+    0x32dc6e3b, 0xc2c69fa4, 0x5d4309a3, 0xf620582c, 0x7d342897, 0xefc1f5c7, 0xcdfa13e3, 0xe57a8f6d,
+    0x2fbf71f5, 0xad9282e6, 0x8653c9b0, 0x5fc838dc, 0x932f2d4d, 0xb192a8c2, 0x6bee0bbb, 0x63382881,
+    0xeb0a78ec, 0x87c7fa41, 0xce101f39, 0x1bb747a5, 0xbfe2e41b, 0x2ce93c33, 0xd8d787a3, 0x2458551c,
+    0x6371863f, 0x397d7cb4, 0xda13f656, 0x1227aa90, 0x3e1cceb4, 0xa56a0d4a, 0x34a43671, 0x55164fa4,
+    0xb3870405, 0xa9a14f8b, 0x20265e98, 0xfe4c98c2, 0x2b2bae0c, 0x51e32f34, 0x092c35a5, 0x098b01e4,
+    0x73368396, 0x496d80a9, 0xb7791922, 0x924d267c, 0xa6d17e2a, 0x440683a5, 0x39307504, 0x2e40fbf3,
+    0x7533f8fb, 0x2b977aba, 0x37e85259, 0x75405883, 0x395d2a42, 0x2a5bbf38, 0x8b3ea2f0, 0x3ad709f0,
+    0x75cf1a11, 0xe1ab9fbf, 0xca248940, 0x79be6075, 0xcfe5212a, 0xf7d9867a, 0x2e70fa0c, 0x24447b42,
+    0x6e7f59c5, 0xc8abc4ae, 0x097da54b, 0x2903f6c2, 0x500794d3, 0xe0d244b0, 0xb5c72bf7, 0xc822576b,
+    0x2700e957, 0x27fb3455, 0x5cdc5891, 0x8deb0311, 0xc8f8a7de, 0x2c40895e, 0xb6c30eba, 0x0c4aad28,
+    0x5360cf92, 0x3a7200cb, 0x854442ea, 0xefd9f1ac, 0xd50af58b, 0x2b5e1af2, 0x27fd5164, 0xa8ab0a6a,
+    0x00c9164c, 0x3609e077, 0x2f79971d, 0x2ca9255c, 0xb51edc8b, 0x436b3211, 0x9912d394, 0x2db654f8,
+    0x50da2dc1, 0xed270c6f, 0x2d6bf3b1, 0xee20ce2e, 0x05f45e89, 0xdf3433f4, 0xe6cdf5ce, 0xf239d247,
+    0x4dee0041, 0x30529ebf, 0xc205b507, 0x614cf8fa, 0x421fb59e, 0x1366404e, 0x78219860, 0xab4eb595,
+    0x7f925332, 0x705afd1f, 0x19e45b53, 0xd08035d8, 0xf796e973, 0xf4510e86, 0xdd7cd5e1, 0x248c8fe2,
+    0xf5a51b40, 0x3c0d7a88, 0xc86523de, 0xeea5da76, 0x059fc2f9, 0xa9a43241, 0xe2c34af3, 0x6aec466e,
+    0x018b18f2, 0x09e746ee, 0x1b4efcef, 0x2f26c872, 0x12fd2e51, 0xe86efb9d, 0x941892cd, 0x4c0659cd,
+    0x221ee240, 0xd05c5e8e, 0xbcccb7f8, 0xa4d68441, 0x6bbd4757, 0x5cb1ac9c, 0xc6866d27, 0x2c483374,
+    0x1dabf13e, 0xa2f91b44, 0x7b46e5da, 0xd6061642, 0xe2a87c12, 0x76380167, 0xe27be710, 0x928df9ce,
+    0x28df8d17, 0x82731e32, 0x044318ba, 0x25795376, 0xf868c45b, 0xd91da2b7, 0xedb2d457, 0xfdef3621,
+    0xafb1bb08, 0x120138ca, 0xf9d4a695, 0xaadf9dea, 0xdb28bba9, 0x52c31336, 0x081ad9ca, 0x60cc4d41,
+    0x4e110570, 0x9916659d, 0xefb89673, 0x0aca30e3, 0x623b09a7, 0xd2565293, 0x1d10dfea, 0xc3c347e6,
+    0x0a3b08c4, 0x9df8d708, 0xdf7002c5, 0xbcd2e540, 0x652797a0, 0xaa813f60, 0xff81098a, 0xb588be23,
+    0x59985444, 0xafc079cf, 0x7e11830f, 0x78510dbc, 0x86c7e5f4, 0x89968b2b, 0xeef3f582, 0x0b873c19,
+    0xab38a8d7, 0xaa27766d, 0xdf5c9697, 0xc2b1fa9b, 0xdbb6d82e, 0x6a3f52e3, 0x8a23c7e6, 0x61f55264,
+    0x66dd0e01, 0x5b668d50, 0x8e05f982, 0xbc527cfa, 0x2b1ce927, 0x60bc6131, 0xb377c328, 0x8539ec30,
+    0xdc3be614, 0x239896d3, 0x8116b186, 0x79d618d4, 0x54cca8c5, 0xf6654475, 0xe641ee16, 0xce52dacd,
+    0x9472a5f9, 0xf7a1d1e3, 0x653c9cc1, 0x15d7bb3c, 0xd9eadff2, 0xe92912b3, 0x1dfb5d5d, 0x0f4cc244,
+    0xae9d7b42, 0x53103189, 0x756c7caf, 0xddf82098, 0x4df770a2, 0x04d8829a, 0x524a7a7d, 0x2e465fab,
+    0xc177e5c7, 0xdf6dd683, 0x2c3c00a0, 0x8c2d4ff5, 0x495a8e77, 0x144b67ba, 0x866b2ba3, 0x053f2189,
+    0xa5b50249, 0xfc6bdad8, 0xe5d789e8, 0x459f4ddb, 0x333eeb32, 0x98c2093a, 0x8f66d9b0, 0x020c992f,
+    0xd95f15e7, 0xf7aa4450, 0x9de384a3, 0x14882108, 0xb706e341, 0xbe1ce3a9, 0x225e1b71, 0x12b8e547,
+    0xf7cb928d, 0x0592d742, 0xf1b8834c, 0xf6b6ce89, 0xfbd47b2c, 0xc7c0a043, 0x54ec9c52, 0x8907a450,
+    0xd7cd6b76, 0xe27523e0, 0xd97b31d4, 0x44afba20, 0x11e7b635, 0x30f4988b, 0x5135283a, 0xc3df9d92,
+    0x36d763f7, 0x733e1ec5, 0xe213d883, 0x7fcede73, 0xbda2327b, 0x1da0b5fe, 0xd5d5f085, 0x9bfefd43,
+    0x9e85aa10, 0xd4ad8e81, 0x098d58f1, 0x445ca229, 0x584029de, 0xc2b91ee1, 0x634918db, 0x9370539b,
+    0x76441bba, 0xb086902e, 0xc81ca387, 0xb890163e, 0x29c6823f, 0x66d8b78d, 0xaee6e536, 0xb86d1031,
+    0xc95c9c61, 0xdf194165, 0x1c096312, 0x470211e5, 0x0ed0fc1d, 0x37a99654, 0x9993af33, 0x0d73c9e7,
+    0x3f621f37, 0xf9dd4805, 0xac1178a5, 0x08aec8e4, 0xa73ad843, 0x5a9ba905, 0x470e0eae, 0xc0850154,
+    0xf0411d62, 0x0a18b4cf, 0x95d29d7b, 0xcec48d5a, 0xbba0730e, 0x6bf8c064, 0x93d3cbdf, 0xa8614930,
+    0x0e21fda2, 0xc6afa7ac, 0xcdab6ea9, 0x47049ed1, 0xcd6358ff, 0xf15bfcca, 0xe860e93d, 0x96037e13,
+    0x98a7414a, 0x5fe4442a, 0xcbacad40, 0xba88afef, 0x1d86fcd9, 0x23cf0b75, 0x5de1f5e4, 0x786b42c7,
+    0x79c6334d, 0x2a8a348a, 0x64e5ca35, 0x3aa38acc, 0x73dfd097, 0x7396c576, 0x45147ea2, 0xea1ba3b2,
+    0x8dc5433f, 0x3f5c8136, 0x36d3988f, 0x0ca111fb, 0xd1694360, 0x062feb6d, 0xa6802ac8, 0xdcb86961,
+    0xdb1e135b, 0xc8964b3b, 0xf51e2cec, 0x023c12c5, 0xcbf1c80d, 0x9478e23a, 0x05c239fb, 0xc130f952,
+    0xe56c0125, 0x5fe3eb70, 0x2d93bf7b, 0xd375350c, 0x0aaf2c7e, 0x836e0f3c, 0xac310ab8, 0x1cf87652,
+    0x962213fd, 0x5d7b1f7d, 0xe24aa8b0, 0x391bdf9c, 0x7243fa27, 0xc4cb7202, 0xf5643124, 0xa21cd44f,
+    0x0d2e964c, 0x7c631b06, 0x593a27ea, 0xe38a0c4b, 0xbabe3e14, 0xc9bc2878, 0x7969c0bd, 0xdd7aab17,
+    0x513536fa, 0x5c02ec31, 0xd5f4510b, 0x09c8f262, 0x0b00e1d1, 0xfd6465c4, 0x05c5d066, 0x3de6e598,
+    0x7411e91e, 0x9aca4988, 0x57dd978d, 0xcef5a89d, 0x1e04fbed, 0x1d6cd9ba, 0x76773b16, 0x432973e7,
+    0x48acac6b, 0xb998a61c, 0x2dce6eda, 0x375b0948, 0xfe45af70, 0x72548b41, 0xa50deb78, 0x0d27e4e2,
+    0x516d7f54, 0x27efe954, 0x8413286f, 0x5d5a8692, 0x26492fbe, 0x243ebb96, 0xe4baab25, 0x8812976a,
+    0x07c93db1, 0xb295d1f6, 0x0e06851e, 0x27826912, 0x9629ce6d, 0xece37fcf, 0x9eb21bf4, 0x0441921d,
+    0x447a5795, 0x767042c0, 0xe14d7781, 0xc4d7683a, 0x71b6cff3, 0xecc364f7, 0x64324ee8, 0x66665e89,
+    0xb67529a6, 0x50751052, 0xbaff739e, 0x128ee937, 0xf676a0ff, 0xe3919a89, 0x02ab22f0, 0x7d3870e1,
+    0x4a6e31a0, 0x0fc167d4, 0x1176695c, 0x94d17181, 0x9045eadd, 0x25709b1a, 0xa61181fe, 0xaf268045,
+    0x7ee9ac53, 0xefcc2115, 0xf97f9984, 0xdcb251fd, 0x89db243d, 0x8dce9811, 0x0eb89a55, 0x5203611d,
+    0x2815b1ef, 0x255a488a, 0x1202968f, 0x1dcd608d, 0xe86c6ca8, 0xc96ab45f, 0x85d4faf9, 0xfb2d2961,
+    0x542dd9c9, 0xac54b970, 0x623eba80, 0xf0809fe5, 0x979777b8, 0xb4709852, 0xeaac6795, 0xd6fe7769,
+    0xd92d89f0, 0x33217e22, 0x1568b12e, 0x6a5a546d, 0x3693824f, 0x797372d7, 0x4c001c4f, 0xb6f2ca9e,
+    0xbedf7692, 0x3b08f3e5, 0x1e166282, 0xe3c658dc, 0x24a5c10d, 0x8cfbad75, 0xd0390bde, 0x2518e039,
+    0xbd9735b0, 0x5cc14062, 0x203c753e, 0x938dd37a, 0xe396dbbd, 0x04c3406a, 0xb33d0ac7, 0xda0db58e,
+    0xfc9511a6, 0x7c814cea, 0xd5f1154a, 0xc762c5a2, 0x628176e1, 0x75961965, 0x55f2ba9a, 0x56b8b761,
+    0x24aa8d09, 0x46b3e44f, 0xb7e3c8cd, 0xea8cb93b, 0xd0215115, 0x8fab2031, 0xb516c4f9, 0xd1a4cb80,
+    0x77af99d9, 0x64443c8f, 0x47b62b02, 0x5594ffe1, 0xf8f003f4, 0x64562255, 0x3ec3b4c5, 0xc3c95d47,
+    0xc4a59f6f, 0x3e7c8f03, 0x8ceddb2a, 0x35c87959, 0x2c91e5be, 0x04a2a379, 0x4644d1dd, 0x4a0109da,
+    0x7a0781c4, 0x3b02b4e5, 0xc4ee6d64, 0x595cc60f, 0x80988750, 0x5e3240d0, 0xcac8bae9, 0xa66b0dc0,
+    0x3af89429, 0x9b454fc1, 0x2176652f, 0x162a9a7b, 0xbd352cc3, 0x33428296, 0x9e050b9b, 0xbf1df650,
+    0x7e0dfec1, 0x19c8e09e, 0x1a607c35, 0x98e64144, 0x6f222a9e, 0xa611bf66, 0x22fcd150, 0x78f33b60,
+    0x04c0d754, 0xdf70b5db, 0x79c3e0e0, 0xb36c114c, 0x1a45c52b, 0x8bccabc0, 0x519556f3, 0x9d56b608,
+    0x5a3db054, 0xcc21ef27, 0x9b841129, 0x58dfdf04, 0x8a587e64, 0x3c38f86e, 0xfeca0ce1, 0x2a593c3c,
+    0x8902a36c, 0xefdafdac, 0x3c168cf8, 0xdff845fd, 0xe94bcf12, 0x45b85fe7, 0x67cf9094, 0x402dc505,
+    0xe79b991b, 0x5bcfaf3d, 0xb153c99d, 0x1358ea48, 0xc96e7bd9, 0x41070e98, 0xbc564182, 0x449f07a3,
+    0x88cedda5, 0x69a2d290, 0x308e85d4, 0x7d729b30, 0xcbe214a7, 0xcd924009, 0x12b1a0bf, 0x444645a9,
+    0xab1bb07e, 0x7aec17f8, 0x4c275f58, 0xfb27404a, 0x2da27b04, 0x69acbd04, 0xa0e17b59, 0x7ac02af1,
+    0x239fd85f, 0x1df9255e, 0xd29979c8, 0x62be6ead, 0x91be7fe7, 0x59ce7faf, 0xc3ffa462, 0x534bd165,
+    0x0c02779b, 0xb6a182f6, 0x92049ad3, 0xa6ba55e1, 0x54eea99d, 0xe9820df7, 0x1ce05842, 0x23f4963c,
+    0xeaaa2d2d, 0x712e6028, 0xcce6b734, 0x54543b28, 0xb09f5a5b, 0xb5546d20, 0x5ca74fdb, 0xfdd009f8,
+    0x83c673d8, 0x972482b7, 0xba00f971, 0x4b909a8f, 0xfe9f4538, 0x0ff82496, 0x5e19d90a, 0xe4b886cb,
+    0xe9d10dc0, 0x6056525c, 0xc82c84a6, 0xb686a10e, 0xa8d48d32, 0xd4f51545, 0xacc9d324, 0x1ebc6674,
+    0x383ae103, 0x5a518fe0, 0xfdbe76b0, 0x6fb9770e, 0x8a6c8323, 0xdc808f9e, 0x8446e056, 0x99e6e01a,
+    0x4e590d3d, 0xd7de7b08, 0x9f79d260, 0x561a7fdb, 0x5d7de3c4, 0x32f70d44, 0xcf26ad7b, 0xb17c7639,
+    0x517b07f9, 0xd74663b6, 0x66a57303, 0x131855af, 0x2515d161, 0x739138fd, 0x631bcf78, 0x86e47ccf,
+    0xa1b4d550, 0x90eba400, 0x119b4d2f, 0xdddd2172, 0x7964b33f, 0xc3d6e7f7, 0x4644eca6, 0x5de9f529,
+    0x45370baa, 0xea4b0612, 0x68c2509f, 0xefd2b05d, 0x3ece0a16, 0xcb02f85d, 0xa0be9744, 0x38e645fe,
+    0x97861994, 0xd62ea45e, 0x109e8115, 0x991b1a69, 0x8e93737e, 0x80e38b00, 0xf6a1c11d, 0xaecfdbbb,
+    0xc1ec9c15, 0x8c267db0, 0x30571f47, 0xfaa1dfcf, 0x1a9c038c, 0x39aa69e1, 0xddcf609f, 0x5ef29507,
+    0xd8a207e0, 0x5eed52a3, 0xe3e57876, 0x957059b9, 0x3bb5e264, 0xdba0caab, 0xfa4e2b5b, 0x7feb4dae,
+    0x89bfa937, 0xe5e1e135, 0xd325680c, 0x4c8fc97e, 0xe47f5e97, 0x8c95d4e3, 0xe8027191, 0xf7f5cbb9,
+    0x419a26b0, 0xe9a4fded, 0x39ed8d97, 0x08ad6278, 0x6faca945, 0x7cd70f9b, 0xecabac8f, 0x17dad859,
+    0x13a5d030, 0x7d7daf1f, 0x538c95b2, 0x9fdf5f49, 0x53fb63b1, 0x9dd2b91e, 0xd0c03bf1, 0xf633f9e5,
+    0x7b8dfa76, 0x9c2c1809, 0x5b6042de, 0xbe6d738d, 0x43eb0cea, 0x5a071461, 0xfd51770a, 0xf13febaf,
+    0x7a8f6e19, 0x5ea7e074, 0x9fa0cb35, 0x757d81f0, 0x5a57da22, 0xec6cb6af, 0xccface3a, 0x727ca9fb,
+    0x25df966d, 0xe5af6ec8, 0x8129c7fd, 0x318ab8a5, 0xad458590, 0x06f6e44c, 0x57310526, 0xa97f528b,
+    0x26a0e6de, 0x7ee88104, 0x4bbd05c4, 0xba98a889, 0xb1ea7369, 0x68e024bc, 0xc0a59fde, 0xf1f0efdd,
+    0x169c0f0b, 0x1bfea737, 0x7d936aee, 0x2d017292, 0xad69e0fe, 0xd17f726e, 0x1e716514, 0xa50f6005,
+    0xfaa36ada, 0x60b87bbf, 0x00413a0d, 0xe91fd119, 0xb216dc08, 0xf5598e73, 0x333eb7f3, 0xe463b708,
+    0xb213569b, 0x9bbc6f6d, 0xa209715f, 0x0687bc01, 0x2c5d058d, 0x7daa7c64, 0xfb7ec29b, 0xf31fb1ff,
+    0xc8dffeee, 0x715674d7, 0x35485b79, 0x10106783, 0xec9d5a88, 0xdddc609f, 0x22aed23a, 0x29b5f3d8,
+    0x46916bfb, 0xfd6013ee, 0xe56e50f6, 0x429352e5, 0x135a07b6, 0x5956454f, 0x8a6fe064, 0x2f68b18a,
+    0x2b68a092, 0xafc478d4, 0x6863ad09, 0x022f9f1e, 0x9046b335, 0x118d667a, 0xb5f567a7, 0xc29a4ec3,
+    0x413c9fae, 0x0d685630, 0xd5dc7f81, 0x907ee7a4, 0x26a11f1b, 0xbc564e37, 0x89d43e8d, 0xc3767061,
+    0x39ddbd35, 0x668d009a, 0x0b570121, 0xb760da7f, 0xa6bc4ed1, 0x87229962, 0x54d973a7, 0x71457d5f,
+    0x78dbced3, 0xbb85ad58, 0x9b1801de, 0x8e9fd646, 0xd0760829, 0x5fe130d9, 0x0ac92746, 0x020fe918,
+    0xece9e985, 0xf49f1b14, 0xa48aa3b8, 0xf2a800cd, 0xf59652ff, 0xb02c3bb6, 0x177c596a, 0xf924959d,
+    0x3058965c, 0x5a593b4e, 0x14ed2570, 0x07fdc7d9, 0xf25eea0a, 0x86a3b9a9, 0x8fb9f62e, 0x2f0b701d,
+    0x1e868755, 0x8e8ffec8, 0x46b62b65, 0x03ca6302, 0xf98e8727, 0xa7a571c0, 0xc9a3be10, 0x34677f6c,
+    0x6a65bf8c, 0x5d7abedf, 0xf0ffe9b8, 0xca0af2f4, 0xc5e95285, 0xd1715831, 0x94cb0330, 0x55b7ea6e,
+    0x0d42819c, 0x747a0ebf, 0xfc04092a, 0xf0eabb4f, 0xb56d0992, 0x64b31424, 0xc0bd8a4c, 0x6aca505b,
+    0xa9a0e4e0, 0xe588ddc7, 0xe60bdb95, 0x34e9f06c, 0xf07de083, 0x74bc8288, 0xbe9d68f8, 0x23107332,
+    0x08d78da3, 0xd7bea2d7, 0xb50bac3e, 0xdbf0f656, 0x77689be2, 0x784e3d0f, 0x2b7d521c, 0x91e06c63,
+    0xa7421a21, 0x4cdfc71f, 0x6ac2f15f, 0x50cb94e1, 0xacfadf03, 0x4873ba13, 0x890da75d, 0x99b4b2d8,
+    0x5ef4e827, 0x59a357f2, 0x7afbe1d3, 0xb451788f, 0x19465df9, 0x0963bd11, 0xc7d13c71, 0x7334b1ee,
+    0x3ae14759, 0x65547795, 0xda3c5d00, 0x9b8b1417, 0xdd4187ea, 0xce2c2da3, 0x6e5289a8, 0x3997e942,
+    0xe28a46e9, 0x792e0f1d, 0xb53f581b, 0x2856def5, 0x0633928c, 0xcd0ed95b, 0xea327d19, 0xe5f203c8,
+    0xc8850bbe, 0x89d31eba, 0x44f3d9e3, 0x656ca6d5, 0x55b0845b, 0xd3605617, 0xee59a26e, 0x8fe405b5,
+    0xc47f6212, 0x47ebfc2c, 0x45ed13f7, 0x2395b55a, 0xd63d3998, 0xbfa76dd3, 0xbcfb2bf9, 0x0465cb96,
+    0xa875d601, 0xcaa484dc, 0xf3a7ce05, 0x50cf4821, 0x703c23a4, 0x158bda54, 0xc01e6422, 0x3e7cfdec,
+    0x3adf528e, 0xb2edb6c9, 0x2dffaa67, 0xd8d59bed, 0x97acf27b, 0xa4a53ec3, 0x5d9ad479, 0x609bf885,
+    0x6d53a1c0, 0x0f71d6b2, 0x817c7a56, 0xcafadb80, 0x0ff19d88, 0xa0dea1d2, 0x76c9a253, 0xe569f9f7,
+    0xf69d8f43, 0xc15378bd, 0x46fef913, 0x1dc9d68e, 0x487a4949, 0xdceca776, 0x176ebf62, 0xba4e74cd,
+    0x8ec53282, 0x61539ec1, 0x7047f9bd, 0x01404173, 0xf3f9fe60, 0x20b25b84, 0x47ab9836, 0xd6e5d968,
+    0x4520ed0c, 0xe07574eb, 0x29d0bdcf, 0x5dbbc921, 0x398db4bf, 0xeb6117c1, 0x97a263d5, 0xefbfbec0,
+    0x7d3b7f93, 0xff647cdd, 0x43779d70, 0xb873e62b, 0xb58750ea, 0x2066372c, 0x9a18b2b2, 0x8469f952,
+    0xd7023980, 0x8944af79, 0xfac40cee, 0x64196367, 0x7bfffb6e, 0x36eb2c9f, 0x9a533357, 0x8d8454e7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000010141204801825835211973625643008 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b6, 0xd40900b1,
+    0x00000000,
+    0x9f04feca, 0x03ea34cb, 0x59876011, 0x7b49cccd, 0xc41dbb25, 0xdd5ea87a, 0xfc736490, 0x3d411758,
+    0x609ef59f, 0x594b8ff9, 0xf9f19360, 0xfdb7aac1, 0xfe4f20be, 0xd1bd0e7f, 0x19e6e2d3, 0x833e8044,
+    0x6e1948dc, 0xeaaab389, 0xc753e069, 0xf497d0ea, 0xe6a1c151, 0xb630d38d, 0x2345e4a2, 0x93297603,
+    0xd495c31a, 0xbb3f3e3c, 0xbda417bd, 0x265676ee, 0xf6eebf8f, 0x2d3f4e01, 0xc50d37bb, 0x4619f323,
+    0xfc258404, 0x8b6030e6, 0xe8f02c80, 0xd680ff45, 0xccf6f4e8, 0x6a4f005f, 0x66305aa5, 0xffc2c5d4,
+    0x9a27bca3, 0x2c255724, 0x36f19808, 0xc4eb54f7, 0xc7c49555, 0x4f09f506, 0x9ec76827, 0x2722857d,
+    0xff7805e6, 0xdc05b468, 0x3b348fe7, 0xfdbef232, 0xe1365d28, 0xf078dd39, 0x737163e6, 0xb62fd269,
+    0x825650de, 0xb1028ab8, 0xfc7fb644, 0x63012965, 0x4ea6bf1b, 0x8fe42124, 0x69bf1f6c, 0x5c58ae07,
+    0xc52d8351, 0xc89247fe, 0x6600be1a, 0x97a1b045, 0xf348a278, 0x68fe5287, 0xe519b8e0, 0x03ad4265,
+    0xf5d73bf8, 0xf874768b, 0x9cc13b1f, 0x4f95b34c, 0x8910bb1a, 0x577fd913, 0xd4137d69, 0xcebd2039,
+    0xda083584, 0x1947564e, 0x20c9136b, 0x0c45d567, 0x5dc85fce, 0x3503a3b6, 0xa1ef0a6d, 0x409f50dc,
+    0xf9cfba20, 0xbb527ffa, 0xa15e228a, 0x263ac815, 0xd7042d98, 0x7fd79e46, 0x3ac9a9ac, 0xd4b1b693,
+    0xd9713c93, 0x2e22c7ca, 0xd01c724a, 0xc1cc03d8, 0xdaeba616, 0x1da30639, 0xf5b30dd5, 0xfa68e743,
+    0xab28513e, 0xc3dc02da, 0xd6f3f351, 0x8adb2858, 0xef5f93b1, 0xf432ff9f, 0xe45a9172, 0xbbb31dae,
+    0x3242dae9, 0x4bdec190, 0x14c47ce0, 0x9e3e9efe, 0x7d83778e, 0x9a2ea0a1, 0xcb9b8f72, 0x6edaca23,
+    0x94dfe8f5, 0xf50bc907, 0xdfd628cc, 0x34c19c64, 0x2b730f30, 0x73ab98a8, 0x01719290, 0x5091652f,
+    0x2d401b14, 0xdaa0630e, 0xc070386c, 0x34b32497, 0x80ba159e, 0x81f3ab4b, 0x39280437, 0xac150584,
+    0xf6269722, 0xfd8ab407, 0xd4c71d8c, 0x9c117847, 0x22e13399, 0x3f85720b, 0x550e1b7e, 0x919eff96,
+    0xaf622e35, 0x0577b538, 0xac337b9a, 0x75e4a7a8, 0x9532e322, 0x363d7d76, 0x2c115aa3, 0x55c67d70,
+    0xec7eba52, 0xef5a2339, 0xe20a323b, 0x83e33963, 0x96426d91, 0x8e21a330, 0xd4dd6c56, 0x585c24ed,
+    0x17079420, 0xea4dcf2b, 0xbd06f078, 0x16005b6c, 0x3d352faa, 0x07101f7e, 0x9a7dc68f, 0xb06581a6,
+    0x09e7e0b2, 0x73df8fb1, 0x45309c08, 0x98a1ceb3, 0x938325cf, 0x129ae8a5, 0x23fb45f5, 0xcca57613,
+    0x7168094e, 0xbdf1b9e1, 0x937fd5a6, 0x01455795, 0x9622dce7, 0x36636a09, 0xca52e7c1, 0x2b49f5ca,
+    0x2626b907, 0x097ab93d, 0x846f78f1, 0x2c976c90, 0x36ffd690, 0xc0d644c2, 0x766ef579, 0x19c5eab8,
+    0x02a2e69b, 0x2d3cbc83, 0xb3d609fe, 0x07d19150, 0xb8f88c06, 0xfe67bc34, 0xe6424eb1, 0x53058041,
+    0x85ca5a5c, 0x216f2d95, 0x18f0c324, 0xd1a19c8e, 0xd731e360, 0x89b49b83, 0xb26c9fc5, 0xad8c79ad,
+    0x6d0aa743, 0xc7259a9b, 0xbbd7631e, 0x7d955d5c, 0x8a2a19e1, 0xe3b2d64c, 0xb0c1f8f7, 0xb0fa3a1f,
+    0x5b9165e0, 0x6e7545b0, 0xa08ed1f0, 0x542b2f1e, 0xd15f5b3b, 0x6ecba70d, 0x10ceff7b, 0x650dc417,
+    0x77e50a82, 0x147a3075, 0x51066d5b, 0xb04b2409, 0x3927151f, 0x25b0ea00, 0xc4bc1adb, 0xa26bed28,
+    0x2c32bac1, 0x260c13bc, 0x9fd6f12c, 0x658edeff, 0x405f6299, 0x6b4ba1b5, 0xe1602c9c, 0x2ba600b5,
+    0xe3b7d33f, 0x87bf2960, 0xedf5d65f, 0x3e4da8c8, 0xb3e27615, 0xdea584d9, 0x5777f942, 0xca8c7502,
+    0x890e2bc7, 0x825f0653, 0xd5ebbe80, 0xac8f2387, 0x40c73e9b, 0xb99f7448, 0x41bab2ce, 0xc1656e78,
+    0xf298ae46, 0xe53a6fc8, 0x6af1b366, 0x0165f0ea, 0xdb76453e, 0x5e9d81d9, 0x134ce921, 0xfd3fb7ad,
+    0x3148db09, 0xb29f44ba, 0xf9648d68, 0xf86ecebf, 0xc0477bbc, 0x5670f175, 0x667b1815, 0x56ee8a84,
+    0x9143f466, 0x297ef139, 0x3d13cb99, 0x7b9d816c, 0x90cfbbe4, 0xb2d01c25, 0xcfe8e764, 0x94735153,
+    0x72f1cd87, 0xeeefddc7, 0x30bc964f, 0x479f0402, 0xe807f58a, 0xe62b28fa, 0x2c968d85, 0x00a7a5fb,
+    0xe012aa56, 0x9a87a90b, 0xb90184d1, 0xe661d627, 0x6f79eb4e, 0x39fff5ce, 0xe47a24a3, 0x3d812783,
+    0x40441ece, 0x76d7ae08, 0xb3e5993c, 0x26c118de, 0xd53c8a32, 0xaf84f39f, 0x74dae1cf, 0xee0b4277,
+    0xb6fe18cc, 0x048af378, 0x820c5dea, 0x0143d898, 0x7c754e61, 0xf202ffa9, 0xb19f1166, 0x5f0e4c46,
+    0x337b3e46, 0x0d4f4fc2, 0xfc199cce, 0x16c45259, 0x41c0b33b, 0x5a4ba7e3, 0xa43c9bc0, 0x7ff6bd1f,
+    0xdad6f704, 0x0c784ac4, 0x9f92a71e, 0xc06944e1, 0x40f1beb8, 0x736a18bd, 0x7359348b, 0x4bd81e2d,
+    0xdb8fe947, 0x075de9b3, 0x3fc1d751, 0x6dd355de, 0x1ba2f4ef, 0xf3ce1299, 0x912ca53a, 0x27ee75b8,
+    0x9ecdc4c8, 0xa44fb64a, 0x04a48faf, 0x92bc696d, 0xe9d4609c, 0x95079125, 0x2e275a7a, 0x6c27ceb7,
+    0xe0c28311, 0xca8f2f1d, 0x8113c3f3, 0x55142501, 0x22a463f5, 0x26b79d8d, 0x7b8ffac3, 0x8cb721b1,
+    0x4f8436cd, 0x475bb523, 0xf9e42e42, 0x5836a7e2, 0xd9fc3b47, 0x6b8f5d81, 0x99ef0419, 0x392ac102,
+    0x063a5ab9, 0xe576a583, 0xc0fce702, 0x60eaf344, 0xf2ebde18, 0x4e270df9, 0xbbe85fba, 0xb1b7a975,
+    0x88418174, 0x3f1457ce, 0x084530cf, 0x75e79dde, 0x2547df27, 0xeca6f101, 0xea160e4c, 0x9c5d3543,
+    0xb7467f44, 0xa76cb95d, 0x09cfd501, 0x0c712743, 0x569d588d, 0xc921f554, 0x052667f5, 0x6d574861,
+    0x25c9f31e, 0xf738b627, 0xe1d300fb, 0xcdd16275, 0x9bc59b7d, 0xe6d1628a, 0x28ace8d5, 0xf4572de2,
+    0x2b317786, 0xc2708bc0, 0x73811b17, 0xa75de710, 0xedfa31a9, 0xf471f3f9, 0xdfc684d8, 0x92a53940,
+    0x8af8dea4, 0x8b19058b, 0x57811631, 0xb2373a03, 0xd12f8c7e, 0xa10b99e3, 0xcc9683da, 0x7205f88d,
+    0xf607a645, 0x01029085, 0x7904d8be, 0x2017302a, 0x3a919649, 0x9572f6a2, 0x4c4b4729, 0x9c55b797,
+    0xfb9c011d, 0x23fcb548, 0x1a9b1dcd, 0x50ef3401, 0x8afb5a8a, 0xce9d6f8c, 0x44d24fb3, 0x2d61b428,
+    0x44a64204, 0x1e4c4187, 0x693f82b5, 0x480c9985, 0x7b583b6f, 0x7ce87b53, 0x5c138c06, 0x25474d0a,
+    0x28c809ba, 0xcf11a818, 0xa1b5c2cd, 0x4e3a51c1, 0xa5ac9c13, 0x79f6f18e, 0x589441b5, 0xeb9a25fa,
+    0x51beb7ca, 0xb6d1b0b7, 0x489eb831, 0x0e591b22, 0x76f64d43, 0xeaa1a31b, 0x8df8c725, 0xdb6f160a,
+    0x95a8cf89, 0x0ec34272, 0x18663869, 0x36047888, 0xb6dad548, 0x767b96ec, 0x99e6405e, 0x720025b0,
+    0x20333ff0, 0xb3b868bd, 0xa73ccc12, 0xb17347fc, 0xa779169d, 0x9a8698be, 0x3e03039c, 0x08dd27e3,
+    0xff26cc10, 0xdd179de2, 0x43901c71, 0x97aa7311, 0x71ca035b, 0x40c76b62, 0xc8586aec, 0xb9cff55d,
+    0xe6327240, 0xc72b515f, 0x8be10db9, 0x9fc4d571, 0xc0269eac, 0x328f8ba4, 0xa10f57bf, 0x80d56081,
+    0xd6df2088, 0x9de97aa8, 0xa8a57afa, 0x6ee5ac65, 0x55aed720, 0x03e11ebf, 0x0611a51f, 0x287a656f,
+    0xf8594f54, 0x93c9cdf4, 0x953f84c9, 0x9cc90f20, 0x04cda420, 0x57ef07b4, 0xb2a2ab66, 0x2ca6c72a,
+    0x72236a9e, 0xf693bf4a, 0xf4272db8, 0x52b4e763, 0x366e0de7, 0xee4dbef2, 0x7b49f446, 0xa5526599,
+    0x0d3b72e2, 0x461e46f3, 0xd0c4e3a5, 0x08414066, 0xe4a4bab8, 0xd2191db6, 0x1a23e7e5, 0xa8b67f4a,
+    0x97081c59, 0x961c5944, 0xaf123edc, 0x02e2787c, 0x093fbbef, 0x99d917f7, 0xe35910d9, 0x1b1a54e6,
+    0x42028824, 0xb1671d24, 0x6da994b3, 0xa748d8a0, 0x83a43afe, 0xc8aea003, 0xefab8f9c, 0xa5fe1186,
+    0x092ff6c3, 0x5a469d47, 0xceb25687, 0x102231ea, 0x0074a87a, 0xdaadabbb, 0x1cdc0ad7, 0xf73331e2,
+    0x9b2e0a57, 0x38179529, 0x7001789a, 0x736cb808, 0x35a195d0, 0x78ff58cc, 0xe4af7e19, 0x99836ea3,
+    0xb72808cb, 0x24cb3914, 0x4d832df9, 0xb4901fd9, 0x13deeb95, 0x3977d43a, 0xd6c388ca, 0xeefba5dc,
+    0xf8e3e5de, 0x35f3d66c, 0x834dc8b1, 0x1b3a91f4, 0x1f8e3291, 0x33125c7d, 0x46288498, 0x51e3b002,
+    0x463640f4, 0xadedc731, 0x7ecdd374, 0x0378ff67, 0x7f50f7c5, 0x2990a368, 0xf3973940, 0xb9755dd9,
+    0x6439aa66, 0x32761c74, 0xd3f3679c, 0xdba83777, 0xc3c664fd, 0xae2560b7, 0x1622f542, 0xa5cf6570,
+    0x33e01b5e, 0xa478f416, 0xf1f05920, 0x4f9a29f4, 0xcf9d0045, 0x532ec22b, 0xb58b64d1, 0x43270f59,
+    0x87577742, 0x14d9202b, 0x4f0af05b, 0xea09ccf7, 0x6bf4d6cc, 0xaa56c8e0, 0xf00a17b1, 0xe4464def,
+    0x4e543389, 0x8adecdee, 0x74cfd1af, 0x447a9e84, 0x08e8ca7d, 0x4d664f52, 0xa9079c63, 0xf7aad5a4,
+    0x25179a63, 0x7412239c, 0x2eb252d0, 0x8eaf7ca4, 0xeb6526b9, 0x61e00f0c, 0x70ea88a0, 0xe72f7a97,
+    0xb3d68f88, 0xa73d886b, 0x916ec25e, 0x0fff1d25, 0x3c58d563, 0x506702ac, 0xdd725135, 0x1768cf1d,
+    0x708a5226, 0x8c9f9365, 0xc8d0b144, 0x3653f2a4, 0xa89efe86, 0x8f4821b2, 0xdd9212b8, 0xb0481b8a,
+    0x3c5201a1, 0xd3f5cfb5, 0x345990e4, 0x5fd14e15, 0x6cb37c67, 0x0f23794c, 0xc421dc00, 0x68c825c6,
+    0x24afb2f8, 0x07c9c8fa, 0x7b44f1ee, 0x0d423792, 0x114fb692, 0x878b9b46, 0xac384535, 0xc62c1e54,
+    0x19add864, 0xdec81eea, 0x7f6b4a16, 0x0fafc61e, 0xa99592ac, 0xd067fdb7, 0x245a309e, 0x4630e9b1,
+    0xee18e772, 0x615e1c6a, 0x33e6a879, 0xa3a81989, 0xbda0dcbe, 0x21bc454d, 0x2be1429a, 0x2dc16012,
+    0xac0c4ba6, 0x9d8f9b84, 0xc242132c, 0xfcb5a78b, 0x25bb8ae3, 0xa7737737, 0xe7c2fb46, 0xe029beaf,
+    0x37de72f0, 0x6ed9b72f, 0xfe154e1a, 0xf798ffca, 0x73079046, 0xbf56a95d, 0x155bad08, 0xd702d663,
+    0xbbad52ef, 0x7eaa392b, 0x0d600a7e, 0x7cbc286f, 0xdcb9cbaa, 0x21d3b38c, 0x5deccd0f, 0x03953b0f,
+    0x42ff79fe, 0xf52c4ee7, 0x19b41997, 0xff421441, 0x976901da, 0x4c78cae4, 0x7f7481c0, 0x1f8c4c72,
+    0x5df9fd4a, 0x7847ceda, 0xaab035ff, 0x67826753, 0x79cd539c, 0xd968c65f, 0xbec338c7, 0xacd01002,
+    0x833799a5, 0xb8d24cdc, 0x3d010a7f, 0x12f727aa, 0xd1423055, 0x93176a7c, 0xec2bafbf, 0xf1b54569,
+    0x99fee7f5, 0xb2999f0e, 0x713e138c, 0xb37286f9, 0x303845d2, 0x8e792e45, 0xd1fafa0c, 0x032a3c6e,
+    0xa03081b3, 0x4ed248ac, 0x8371b442, 0x7d43ee23, 0x454e199a, 0x1d9329fb, 0x64945e5f, 0x55a4fd79,
+    0xfa42162b, 0x57cf82f0, 0x41dca9de, 0xb1907ff7, 0x0dceb1e6, 0xc36b4018, 0x73f08300, 0xff5c101b,
+    0x103b0508, 0xce2d4156, 0xf434ff5a, 0xbf7ae1c5, 0x4533a42a, 0x59a2bda3, 0x079462b5, 0xfa11bb8d,
+    0x3845349e, 0x1190fdbc, 0x14f2192d, 0x729a983c, 0x9ecfc4bb, 0x0b0263f0, 0x6d33e261, 0xe0343f3b,
+    0x1da547f3, 0x0a7a4894, 0xf99cf07c, 0xfa255e95, 0x3f398cb8, 0xfaf63c59, 0x0e98d952, 0x3b40264b,
+    0xb5c70a8b, 0x0a873119, 0xaa2be019, 0x7f11948a, 0xb6ec1548, 0x89c7de4b, 0x57b9cca0, 0xe8b0c54c,
+    0x4731dfe6, 0xbe60c0bc, 0x784e3f32, 0x41e7b503, 0xd11d8ef8, 0x8f3ea522, 0x7691fe4d, 0x7663f2c8,
+    0x1bd21a66, 0x9eb78160, 0x9f4224c8, 0x144c34da, 0x6756853c, 0x6acded92, 0x0fae61fd, 0x535b743e,
+    0x06526f1d, 0x9095ec9d, 0xc7185b47, 0x8b70482f, 0x9b08f047, 0x8de9943e, 0xc26fe5ec, 0x1c8ff45a,
+    0xd9f91dbb, 0x3337afd5, 0x6a1d1384, 0xfc4b59d2, 0x5c1e2cfc, 0x2b4e5598, 0x921c574b, 0x26e6d2e1,
+    0xa2143f6b, 0x952c7dd0, 0x77592700, 0x8abf7c4b, 0x1fd41749, 0xeb1e1a4a, 0xf07aa9bd, 0xa819ecd7,
+    0xa0786907, 0x9e77d229, 0xd87586fb, 0x1fbb8c0b, 0xc3f595ff, 0xc9615447, 0x5434a963, 0x7048d2b6,
+    0xf5b47c67, 0x453bef4c, 0xd09bfe3a, 0x4fcee7b2, 0xd9852154, 0x3953577d, 0x2fd68493, 0xdebda279,
+    0xa762006a, 0x31e787a7, 0x48bc121d, 0x74cd7bf2, 0xd7a9b717, 0xb6504420, 0xae07d0c0, 0xaf82b5fa,
+    0x52e020c9, 0x19f7dcd2, 0x5dd4d555, 0x7c9916ad, 0x4a784476, 0x8e6c7b27, 0x7088e7f7, 0xc34ea702,
+    0xa1c2031e, 0x45ec409b, 0xea79b32c, 0x651b051b, 0x4c142ab8, 0xf46e8eea, 0xd5320fab, 0xf39e13ed,
+    0x50e800ad, 0x653db674, 0x2e646dd6, 0xf63cead6, 0x9f295fcb, 0x6568122a, 0x44ed1a61, 0xae95d9b7,
+    0x3f1c61c6, 0x6d65cb83, 0x536aa7f6, 0xefa56e3e, 0x16f18a18, 0xe542e33f, 0xc357c7c5, 0xcd02a3aa,
+    0x718fcbf6, 0xa5518d94, 0xaa6b03a9, 0xf044c3b2, 0x04f507ad, 0x6dc729d9, 0x098bb34b, 0xa00dc45a,
+    0x27cdd650, 0x37880096, 0x2bacf213, 0xfcdd94c5, 0x59e6af05, 0xfac1e2c9, 0x28d99c6a, 0x524e0007,
+    0xfdb0eb04, 0xe4e519ec, 0xa700a090, 0x28671772, 0x0468563d, 0xcfee598b, 0x094b3a29, 0x5c537120,
+    0xbce31099, 0xc0054313, 0xddf3d325, 0x229843a8, 0xbd5c3780, 0xf4e76840, 0x6256e3bc, 0x5b5231a6,
+    0x04576ea2, 0x35175261, 0xe1efc77b, 0x89dfea29, 0x735893fe, 0xd470921e, 0x3aee7172, 0xbee16518,
+    0x597c42a0, 0xead9bc87, 0x71e36a20, 0xe102c21f, 0x56f6d924, 0x8b0a1a2c, 0x89ed8414, 0xd14087a8,
+    0xf5886c6c, 0x7a4ebdc8, 0x9f988f34, 0x1eb58500, 0xf2e8b205, 0xc4bafa1f, 0xd797b81b, 0x3b613429,
+    0xb9ec8a52, 0x126dc3a3, 0xe5c5fff2, 0x910cd3c2, 0xf404c14f, 0xf57aad3d, 0x91431b9a, 0xc137cdc9,
+    0x549b71f3, 0xb801f54c, 0xa903912e, 0x0e975a93, 0xabf0049a, 0x206b4d3d, 0x7d264877, 0x4366a578,
+    0x5eca3a90, 0x5873e090, 0x662a4b36, 0xc75120d7, 0x9c6b289f, 0xf39c4a4a, 0x597f5081, 0xed3ce1d7,
+    0xe3102cdd, 0xf114bf6c, 0xcb2c4c60, 0xdace1aca, 0xa4d6ec5d, 0x4687f10e, 0xe5930ffe, 0x8dae0349,
+    0xdf79e717, 0x38c2839e, 0xe6203059, 0x27938bf8, 0x4ceda0e8, 0xbdb044bb, 0x5079e28d, 0xbd781b05,
+    0x0e5a98fd, 0x0d02fce3, 0xde0d473b, 0xc76d905f, 0xe4d356c1, 0xf4124054, 0x3b0f3945, 0x0233183e,
+    0xb3cef4d0, 0x25367951, 0xacbfdd97, 0xccc5cff3, 0xf3d81d33, 0xf7d9010e, 0x5eafd117, 0x5bfb127b,
+    0x149367a1, 0x18983da2, 0x7215f5af, 0x8d4a04f6, 0x05c29a54, 0x5751b78c, 0xbd4bfe42, 0xe593fb1e,
+    0x4545f7d4, 0x72367b71, 0x234013e2, 0xa02bcd28, 0xe1e136c4, 0x0430584c, 0x06730a07, 0xf0e6e445,
+    0x581a850b, 0xfa823467, 0x90768aa8, 0xc269e8e7, 0xc0f235c4, 0xf51fe7bd, 0xe5271611, 0x35cd61e8,
+    0x00d023fe, 0x615a77b7, 0x8cb4810e, 0x3cec0a16, 0x8a7ac45c, 0x62b2c14f, 0x0c5d1b6d, 0x70616bca,
+    0xf21a237b, 0xc5c2f1e2, 0xa9508cda, 0x33474170, 0x317b5a10, 0x863dcb56, 0x94847e4e, 0x909b0386,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000005070602400912917605986812821504 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80db, 0x6a048058,
+    0x00000000,
+    0x8eab5000, 0xedb6f10e, 0xd0be7c6a, 0xba5cafc7, 0x9fe7dde0, 0x45ff296a, 0x4f2e0504, 0x9e37c46c,
+    0x55025fdc, 0x171bb5a8, 0x1cc9fa21, 0x1afea15f, 0x672b4e8d, 0xacd78299, 0xafbd811c, 0xe61db59e,
+    0xa0075e14, 0x50947580, 0xcb56bd93, 0x4447f60b, 0xa3554a40, 0x8a54743a, 0x200106f2, 0xb83fe705,
+    0xce5f8e3b, 0xbb75c373, 0xcd6ee462, 0x128b36a1, 0xd6a62ea0, 0x3030c21e, 0x9d6879c3, 0x73b57478,
+    0xbcfbbb7d, 0x8462ec13, 0x07e62cc7, 0x1e31bdb7, 0xbe0d90df, 0x3144d7f3, 0x6e4e0ede, 0x8fc21406,
+    0x5db81b2b, 0x56788810, 0xaf35d29f, 0x83d340ec, 0xd115b3dc, 0x50b2d8d7, 0x9becd993, 0x7e5a1ce7,
+    0xe12123a5, 0xcda31add, 0x06100ca1, 0x01bb741f, 0x558cde79, 0x406c14b0, 0xd59b049b, 0xd4a06c22,
+    0x2ca5a316, 0x3f7705a8, 0xb5e499b1, 0x77082ac9, 0x9f749adc, 0x40e9d214, 0x03d29c67, 0x455a443e,
+    0x5e1977e0, 0x0c1835f4, 0x4956735e, 0x83fff37e, 0x1fe05040, 0xfa4932b7, 0xbae367f3, 0xd798f1d5,
+    0x606a14ab, 0x0d876f47, 0xde8ada12, 0xb403ea05, 0x5e77ab33, 0x76fd876e, 0x6176b5d4, 0xdb139250,
+    0x6c287c4b, 0xe01e1132, 0xa7376697, 0x1de451e0, 0xf05d109d, 0x20b9307e, 0xd3d3140a, 0x270502b2,
+    0xa3c80718, 0x4b5313b8, 0xd3962f46, 0xa8205827, 0xfece6f47, 0x51675a0b, 0x6b09860a, 0x55aee89e,
+    0x47fb945d, 0xf9cdce35, 0xe503f0f0, 0xb236959f, 0x95365aa1, 0x204efbc1, 0x6cc6e498, 0x30150f8f,
+    0x128422fc, 0xd4305127, 0xe1d840db, 0x8443cff7, 0xf3e596a3, 0xb2016e65, 0xdb3d9a62, 0x3dd1a4ab,
+    0xfff7bde2, 0x844a7aa5, 0x2f18d8c3, 0x47e825dd, 0xbc46e963, 0xc191c997, 0xe2713d90, 0xa9307d48,
+    0xd0af9985, 0x872130b3, 0x05f69314, 0x4f875d3a, 0x91c20c99, 0x990c4181, 0x2604ca9b, 0xb2bee7d6,
+    0x3161a89c, 0x65d9e5ba, 0x4a6050d1, 0x6752aeba, 0xcbc1433e, 0xdafb0a81, 0xcf5098f5, 0xaa4a746c,
+    0x17babe0d, 0x7161b263, 0x33b3f054, 0x8427331e, 0xf5664bdf, 0xb9f35ab5, 0xe9c2111a, 0xd25b9c59,
+    0x849f7990, 0xb8b578c2, 0xef18b06b, 0x1869e8ba, 0x52a0f199, 0xe94df406, 0xc8e96861, 0x919f09cf,
+    0xfec893a1, 0x2929a701, 0xef90667a, 0x4aa07d77, 0x48271db9, 0x80917c1d, 0x02facfd8, 0x42826090,
+    0x866a745e, 0xc406d456, 0x77ac942e, 0x1b9f1e2c, 0x6db3c876, 0x0be300c5, 0xce4259c5, 0x1667d72c,
+    0xca70b235, 0xc2d08834, 0xfc78b4c8, 0x5b61cffe, 0x66d05fcc, 0xabd0980a, 0x96d7abe9, 0xcaec2bbc,
+    0xfe740118, 0x294681d9, 0x8d9e53e7, 0x88ccc91a, 0xf290d8d4, 0x2dd29595, 0x78f35572, 0xb263b0f8,
+    0x8b8358fe, 0x5696339e, 0xd5f827be, 0x22fd657e, 0xd1622a2e, 0x85c1dce0, 0x7e07be27, 0x18192f79,
+    0xf18f2a5b, 0x547cf658, 0x3ea4f920, 0xbd15aa66, 0x75dfa6c8, 0x60a18315, 0xdb058acb, 0x20eca077,
+    0xeb6affe3, 0x69e30699, 0xbb332b8c, 0x6647e50a, 0x26b3e5be, 0x658880a7, 0xe9671020, 0x88df523a,
+    0xe23adcfd, 0xda3ae833, 0xfd975e0c, 0x757f9091, 0x5fe396cb, 0x6da57c37, 0xb2ba2531, 0x35b72886,
+    0x854cceea, 0x133b9289, 0xd0ed1957, 0x591973c0, 0x58885278, 0x1f80bc5f, 0x9efb7056, 0xcc0fc8a5,
+    0x74b36c78, 0xe6a490fe, 0xcb70f715, 0xbd50f3d2, 0x6d4b38a0, 0xbef18bae, 0x69d27b26, 0xe90f80a0,
+    0xd80ef63f, 0xb55f997c, 0x1e38857c, 0x17c676d7, 0xcabb91d9, 0xcd888277, 0x24ce52bd, 0x64ed7b6e,
+    0xca1294a3, 0xd06dc7ba, 0x88dec6f1, 0x481ff448, 0x28ad5fd1, 0x6cbb4ff2, 0x9467b5e1, 0x8ff97e58,
+    0x838d0bca, 0x9081a46f, 0x90381b8a, 0x0e17af5a, 0x02af81e7, 0xcafccd1b, 0xd175b111, 0x42c4714f,
+    0xf49f7efd, 0xe90de7da, 0x485d2c18, 0x3e6ec364, 0x9cf7b8c6, 0x2f1dbbbd, 0x433d2569, 0x186681ff,
+    0x00abd1b4, 0xccbd3142, 0x2ca59141, 0x74533228, 0x335c9f0d, 0xceb1c965, 0x4292af77, 0x5b0dd1f1,
+    0x996d41c7, 0x981ebb46, 0xed4fa2ee, 0x63266f71, 0x898250b8, 0xbae3328c, 0x39c96cf5, 0xbd976bad,
+    0x316da155, 0xec40c930, 0xa998a092, 0x1be91010, 0xbeae6a9f, 0xd68034aa, 0x395e035b, 0x53f9439c,
+    0xed151449, 0x22f12e06, 0xa12534de, 0xe2ad4ad0, 0x118b7ced, 0x6951e465, 0x2ef46880, 0x3eea44f8,
+    0xacaf0137, 0xe106aaae, 0x17d8fc34, 0x22e6af5f, 0x51d2da04, 0x2c7ba37f, 0x4019a9e7, 0xff1d23fa,
+    0x550e3eb3, 0xa2f6757e, 0x14c03489, 0x2104dd91, 0x85cba4fe, 0x2c0d68df, 0x276d5645, 0xd927b5b9,
+    0xbc1f3760, 0xffd26d85, 0x14b15f57, 0x9d020d4d, 0x6c61cd14, 0x48aea358, 0xf071cc6d, 0x1ee45c65,
+    0x7126065b, 0xc4bf5808, 0x0d95f4af, 0xcec61dd3, 0x411b6f2e, 0x45e50e58, 0xaa0c0cd8, 0x78a58f37,
+    0x4ee8ef41, 0x08c2b7c4, 0x2f3fe06d, 0x9dc5735e, 0x686dcc47, 0xc6ddd278, 0xba52239f, 0x2960848a,
+    0x3180f855, 0xacc5a29b, 0x4d42d1b8, 0x227042cc, 0xf3413209, 0xccd7cb1d, 0xbe41f730, 0xb187e34f,
+    0xaab2e260, 0x9faeeedd, 0xad588628, 0x7413b5e0, 0x9665a8e6, 0xdde756b4, 0x2e8c3f95, 0x94b6438e,
+    0xb9566b1d, 0x5b114f68, 0xd1607352, 0x0cd64ecb, 0x52d899a7, 0x6d7b47da, 0xb9ff7359, 0xc8352429,
+    0xa0d11c42, 0xc112af55, 0x4db5f0d2, 0xf33b8470, 0x9d765057, 0xc6a63826, 0xb32e9cc8, 0x5689df93,
+    0x6c9d41fa, 0xf38df486, 0x2d6f935e, 0x3f0f098c, 0x32c67428, 0xfb90c0ed, 0xc841372f, 0x633e3487,
+    0xb09780c3, 0xcde07540, 0xc4ef797e, 0xef026531, 0x6bd89a71, 0x3d88e369, 0xc9fa130e, 0x1c33b199,
+    0xee1f2b2e, 0xbef204ae, 0x90d8e72a, 0x113c4392, 0x1d974555, 0xd9ef62f3, 0x36a18889, 0x235f5e23,
+    0xd5a2aad9, 0x76dd6f94, 0x3d2ada1e, 0xc8f1e3ac, 0x3b572e5c, 0x465e9bf4, 0xd8eb295d, 0x151c0087,
+    0x4f027bd0, 0x1be28675, 0xc98b3681, 0x6959471c, 0x9d061625, 0xb8160e35, 0x6107ddca, 0x67857a8e,
+    0x1e022a92, 0xb85e163e, 0x3147e0a4, 0x5c267a9f, 0x367ba37d, 0xfe420ad7, 0x082edae5, 0xddb88977,
+    0x3df68c77, 0x59de9717, 0x8e84a937, 0x340c7cee, 0xcd24c282, 0xeaa2b47c, 0x87977a33, 0x5ee478fe,
+    0xde29bb1f, 0xb165cc16, 0x8f8cc5dc, 0x50a7e329, 0xb741a26e, 0x556cb126, 0x25c75f08, 0x6a49a1d7,
+    0xbdb47385, 0x1426e712, 0x506aa697, 0x7f794ccd, 0x71a9b451, 0x98ed2ed8, 0x15b12bac, 0x3a32645c,
+    0x64ca362b, 0x8aff6fbe, 0xf46371d5, 0x75e74478, 0x9a98f339, 0x89ec1c86, 0x8b5ead72, 0xffa6ad9e,
+    0xfbb6569f, 0xf92b8330, 0x5a13fa0c, 0x6306f7df, 0x9fe8e920, 0xaf780778, 0x86aac650, 0x66fd2b6f,
+    0x98f6ee88, 0x82033b06, 0xa6bb77ad, 0xf3ff3cb6, 0x5bb74430, 0xbfb6fabe, 0xdccd6db7, 0x5b2ab402,
+    0x4a200e2d, 0x10171f58, 0x9a2f2da9, 0xa945927e, 0x4bc75d35, 0xd4144958, 0x69207eb8, 0xd2cbee92,
+    0x75572087, 0xbb87d02e, 0x6581b3ad, 0xccc983cd, 0xcde50fc2, 0xb649407e, 0x8ecfdb15, 0x03696122,
+    0x590f82d4, 0x546db5cb, 0x11abe546, 0xbcb9c640, 0x9c085f2d, 0x4cd84464, 0xdbd94273, 0x0f9f5e80,
+    0xc35b3174, 0x32b8f437, 0x85b7eee4, 0x040c80eb, 0x64b22d72, 0xb207900b, 0xc44c6d3a, 0x55af99af,
+    0xb63b7fec, 0x594cbf7e, 0x23707ea0, 0x8772420d, 0x6f5c8e16, 0x29c9ace5, 0x4f10808c, 0x7371146f,
+    0xedcbd8cf, 0x817b3d6d, 0x2026b21e, 0xb77d7f16, 0xc08d7430, 0x482d180c, 0x31154d00, 0x41581ab4,
+    0xe07c6150, 0x8db11a7c, 0x0c08e2f7, 0x690f28ef, 0x45e343f4, 0xa901c833, 0x012b8f64, 0xccbef649,
+    0x5d718c5f, 0xc223ad57, 0x3e8bd58c, 0x0668b771, 0x03cbb34f, 0xf9018a55, 0x5482fac3, 0x91407aae,
+    0xe6f12c67, 0xed485eba, 0x8ad29cc8, 0x1f0124d7, 0x8aa84f44, 0x4b80abef, 0x9dc189c0, 0x11b58082,
+    0x84d19975, 0x0b58e13e, 0x751e2386, 0x4e211062, 0x6c3f3b26, 0x5c936127, 0x99fe6bad, 0x743e099a,
+    0x68d1b622, 0x2e3afbc1, 0x89c5ca1d, 0x827b7d67, 0xa91d84f7, 0x97344630, 0x00e1b27e, 0xa63039de,
+    0x22a57194, 0xbc4b000c, 0x93c954c1, 0xdddacdf5, 0xe87bcfc6, 0xeae93ac1, 0x405e4a0b, 0x804f384d,
+    0xc6ae1cc5, 0x0fe4cf23, 0xbf80a7e3, 0x485c4c51, 0xf2c8931b, 0x8c188be4, 0x031ec5c9, 0xbc89e464,
+    0xe345b169, 0x53e48881, 0x5a793e7a, 0x220c18fd, 0xe9ebf5ea, 0x550f6bcd, 0xb17eb1e6, 0xff6b2328,
+    0xf27b30e5, 0x6133916a, 0x4ac2e9be, 0x6c8983b5, 0x362fe844, 0xefc60497, 0xa4158a6d, 0xa2aee5a0,
+    0x2995f92b, 0xd747ca76, 0x6c72b423, 0xac4da8b5, 0x6d3e1887, 0xea787ba1, 0x40b0cef5, 0xff990f55,
+    0x021a06a8, 0x9d41996e, 0x0d555a0c, 0xc47bf33e, 0xba63d124, 0xa5078d8d, 0x80c3e541, 0xa6c72cbc,
+    0x0683b3fd, 0xe52d1098, 0x05a56381, 0xba750839, 0x74ff9ba1, 0xe54f6791, 0xb21e4dde, 0x90fa3ef3,
+    0x016613b4, 0x8946cd32, 0x3b5174ee, 0xb885bcce, 0x16595407, 0x0657a207, 0x98d372ff, 0x038fed5b,
+    0xaf00bb7a, 0xb5799445, 0x12c3f559, 0xa22a1a74, 0xdf6e5e07, 0xc5c04563, 0xca56239b, 0xe9e70fac,
+    0xbcca3e88, 0xa5cc8ae4, 0xa80b8b7e, 0x7715f060, 0x168bafea, 0x30bd073a, 0xf1cc6518, 0xe34a691c,
+    0xd22919fe, 0x80033104, 0x5f5030d3, 0x4afdc00a, 0x319ae209, 0xcbd3537b, 0x6dd03b18, 0x6a2af545,
+    0x7dc887a4, 0x43651c4e, 0x1d086bb4, 0x07d043dc, 0x53f213c1, 0x1967331f, 0x157c0114, 0xf1c0368d,
+    0xcb442d7a, 0x526a1077, 0xb6eb6c79, 0xa9d11fa0, 0x88ecc2ae, 0xb989e23e, 0x16d19716, 0xe00e44bb,
+    0x11d6325a, 0xc4fe91e0, 0x648bc36e, 0xa6db0b5b, 0x6018b4a4, 0xaa819b04, 0x1961a533, 0x4d4a8d09,
+    0x38d53e25, 0x5fd7661e, 0x0a76803b, 0xe2d70754, 0xbad03c02, 0xcdc186d1, 0x6476c11a, 0x74b3b00e,
+    0xccfa83fc, 0xef58f7c0, 0xfad8df44, 0xbc96c495, 0x71d30e4f, 0x62894640, 0x551f9fb0, 0x9e3486f2,
+    0x15752141, 0x8ce84ec8, 0x0dfa9126, 0xd14b3cd3, 0x91205c73, 0x53b13caf, 0xb35fb425, 0x50992bfd,
+    0xc4f9960f, 0xbcfe04dd, 0x9cc2ff2c, 0x083a098b, 0xa6bc9cd2, 0x2cb9e2ec, 0xc0a45ef0, 0x560dc9a7,
+    0xfa0c4428, 0x6c72338a, 0xfe54ded9, 0x5fe256a4, 0x043c82ed, 0xcd817494, 0x530e2510, 0x1f9e45fc,
+    0x41dfee6d, 0x94ceccca, 0xfa24f95b, 0xc1c4767f, 0x8cb5df7a, 0x3e7a3af5, 0x3d4cfd5e, 0xb8055084,
+    0x5489adb9, 0x75e31f43, 0x1e22a893, 0xfa09241d, 0xfeffe4b9, 0x47c79e18, 0x2ffff6b5, 0x12e70642,
+    0x08d490e9, 0x6b5690fb, 0xd8d0a7f7, 0x259aa49d, 0xf20f6d85, 0x1a3aede3, 0x08e2582c, 0x7fcffdcf,
+    0x88a5b28b, 0xcedd4fd2, 0xa21bb5df, 0x243db2b6, 0x1b1795e6, 0xbdffbc41, 0x8e916e12, 0x97db1e0a,
+    0x0fc3f06a, 0x76aef919, 0xa6dc834c, 0x979280dc, 0xba37600b, 0xbe8050b4, 0xba982542, 0x62e2d462,
+    0x9af2a021, 0x97b22332, 0x0cd77d6d, 0xf42d4481, 0x2c6c5425, 0x162ff5ca, 0x833f37f3, 0x853ea886,
+    0x946e25bd, 0x83666757, 0x33291941, 0xc1704c44, 0x4b904452, 0x650eb73e, 0x3c166489, 0xdddcd01c,
+    0xd6e7b53d, 0x9b568f3d, 0x8299dc3d, 0xf07bb773, 0x63e0c2d8, 0x7c80af7e, 0x18183ef0, 0x5067711b,
+    0x091fac8e, 0x96a219da, 0x0740335e, 0x385c65fe, 0xa7b82bf8, 0x8c903c6a, 0xd950f9a9, 0xc2791ee5,
+    0xdf0e9602, 0x9bd7694d, 0x60b00ca6, 0x5bb63791, 0x0b656e80, 0xe76df397, 0x2873b4ed, 0x0c77f735,
+    0xa7f33915, 0x56488e5d, 0x6c47f8bf, 0xf39d8f77, 0x1b9c6b9b, 0xede1a929, 0xd7eac87a, 0x36fe0a59,
+    0xe5b7828f, 0x7d3e896a, 0x15d88ccf, 0x265bc8fa, 0xf4bccacf, 0x475d1e31, 0xc00bde08, 0xbace56e1,
+    0x45c0a6a7, 0x11328661, 0x00d409fc, 0x2fdece6c, 0xea865c43, 0xbcd98c26, 0x1aeaa406, 0x9e07f45b,
+    0xc4b3d777, 0xefac0699, 0x438e5560, 0x813f8471, 0x5a42791a, 0x18cab7c0, 0xf70c876e, 0xecc086e8,
+    0x11386476, 0xef1426ff, 0xa219941e, 0x04cfcd37, 0x83838bbc, 0x67d35c70, 0x7c761b2c, 0xba895d4d,
+    0x02d4fb5b, 0x75809db1, 0xf45e64f3, 0x3d266deb, 0xd3aff222, 0x4e501033, 0xcf70ca3f, 0xbae49c6b,
+    0x87e54741, 0x717fa75a, 0x5976ee13, 0xc086be70, 0x6f0fd7b3, 0xe7e8be55, 0x6e55fff4, 0xb3d0f486,
+    0x7bb50928, 0x3229c21c, 0x965cb298, 0x4c5d2683, 0xf12f6f2f, 0x3aa0f81c, 0x9c7e0d4e, 0xbd33e0b6,
+    0x9e0d685d, 0xef1369bb, 0x44d01115, 0x66a944fb, 0x0647a388, 0x88fa230e, 0x59268126, 0x822d41e1,
+    0xeea0481a, 0x387c8724, 0xe74efe31, 0x9ef71b6e, 0xd955df78, 0xb9ab09c7, 0x8f5a60d0, 0x4f1e2bdf,
+    0x91963aa2, 0x8f1d22c1, 0xbc3180e3, 0x2655c840, 0x240452f9, 0xa14e32b9, 0xfa070eca, 0x33514500,
+    0xd547ed6a, 0x7f3fb6e0, 0x0eb51556, 0x7d966d62, 0x0a175537, 0x9a7a408a, 0x71c2c378, 0x8700fd4e,
+    0x26770ba2, 0xad14f410, 0xd37e8a4b, 0x7e23b8ba, 0x2ff62712, 0xf064e5ab, 0x58831c5a, 0x454475b9,
+    0x9557a7a6, 0x094ba01b, 0x0c56ef8a, 0xc0e234c1, 0x23db4e9d, 0x966e8626, 0xe83f58a7, 0x073dff4b,
+    0x71ef801c, 0xd9997a96, 0x725fc6f7, 0xf043c781, 0x950375a1, 0xb89866fa, 0x07e56838, 0xb42e7428,
+    0x3774a1c3, 0xf52d16ad, 0x26fcef4d, 0xda51424b, 0x914defb3, 0xc0123256, 0x3960af48, 0x49649719,
+    0xa83a2dd9, 0xe43212eb, 0x8a0fc3a7, 0xd2fe9fd3, 0x5960cb51, 0xeee4f125, 0x3f195030, 0x3a37037e,
+    0xf9bfbd14, 0xdb7d20f5, 0x45e83a4f, 0xbb45b23e, 0x4c24b713, 0xb6cec6c3, 0x97222039, 0x9a44cc81,
+    0x1aebeddc, 0x084a83dd, 0x24f5f727, 0xdf737107, 0xee57a170, 0x7ccbf7cd, 0x5215c892, 0x060eaec7,
+    0x335638fd, 0xc123d583, 0xefd231ee, 0x6ce4385c, 0x134f37d9, 0x7da7e3a7, 0x570ee32e, 0x8c22b58c,
+    0x876a6c80, 0xa427f5ef, 0xf9ac1787, 0xa4caa36e, 0x81c529a5, 0x09211b95, 0x2a73b979, 0x11cd32a3,
+    0xfcbee0ff, 0xcf95e143, 0x47c19131, 0x23269992, 0xebcfe151, 0xdee7a9b9, 0x89101256, 0x09d9b19f,
+    0x3f75b3f8, 0x274cf7bb, 0x7d51ae80, 0xd5919b50, 0x5ad6a924, 0xa29b8846, 0xbb92506e, 0x943a47b0,
+    0x70d4c7a3, 0xbc2bc30d, 0x4f47d792, 0x425e30cb, 0xbe3b2222, 0x8adde725, 0x0ecaf8f3, 0x57e99f46,
+    0x5f3aa232, 0xad54b8f5, 0x8dbd8b87, 0x91d43496, 0xd7ca2891, 0xaeda978a, 0xa4a2772d, 0x90c85869,
+    0xdfcc7102, 0x2d283ee5, 0xb0904b60, 0xebf9628d, 0x39c6dd17, 0x7b83a3d0, 0x8bb849d5, 0xf131a9a8,
+    0x6113e16a, 0x741e304b, 0x956d4e4b, 0xf03af261, 0xad744509, 0x995818e1, 0xc32fc8e9, 0x255285f6,
+    0x75989eea, 0x5fc9ba04, 0x091c2e6b, 0xf31a98b3, 0x953c13e8, 0x8cde1c9e, 0xf1244687, 0x5dbb9a44,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000002535301200456458802993406410752 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406d, 0xb502402b,
+    0x00000000,
+    0xbf1c590a, 0x4607b11a, 0x41be3191, 0x696db79f, 0xaef3620a, 0xb430b274, 0x747a8352, 0x726bc67d,
+    0xe88a61f3, 0xda48d91c, 0x156ec4d4, 0xbb96c1af, 0xcc10aa5f, 0xa1a3d8ea, 0xce7f0912, 0xd1d6b97e,
+    0x06c8cc42, 0xd11d2d87, 0xa30e37e6, 0x1cabb0e2, 0xa26b7fa4, 0xda368554, 0x2259e7be, 0xd01ba2ec,
+    0xa6b9a1f4, 0xc615f146, 0x1d476b74, 0xfd8aa57f, 0xc9648e5a, 0x4462a64a, 0xe9a54734, 0xd8147bb5,
+    0x1a74c1bc, 0x00de6cd3, 0x52078854, 0x94ce3282, 0x0889ec8d, 0x7a1d4c06, 0x2f078458, 0xc4c59e4f,
+    0xf1772316, 0x4bd0cb1d, 0xf271f928, 0x4c33eb80, 0x58ea6efc, 0xdc193a00, 0x02b2f71b, 0xc2402ae4,
+    0x10dc23f2, 0x3b1f149c, 0xb5ffdaa0, 0x3b76d479, 0x2dac3d0e, 0x2c57870a, 0xdb0acf73, 0x7a901b36,
+    0x300dfd44, 0x4c02169e, 0xaa7807e0, 0xf7404343, 0xec6d2628, 0x0bc1d617, 0x486c2ac3, 0xb70004e2,
+    0xcef53aef, 0xead540c2, 0x24ef339c, 0xdfbba4d7, 0xc543222a, 0x344f9d67, 0x7e2a14d5, 0xc2e462ef,
+    0x091128a8, 0xd1e07e5b, 0x3c9ba598, 0x843c446f, 0x2591ee11, 0x4568a9cf, 0xa1ae9297, 0x4b070cde,
+    0x00180fa1, 0x64984e15, 0x64fe5d4e, 0x9050ab1d, 0xe867ce59, 0x92ba008c, 0xa61fd834, 0x7e6c0ce6,
+    0xfe04355e, 0x8aba1e34, 0x43a42cf6, 0x8f2c67e2, 0x62d6a8fb, 0xf1156fec, 0xa45134e6, 0xc196dcda,
+    0xb46f5c0a, 0x01ce3c7c, 0x428690ec, 0x3102930d, 0xe0952631, 0xb39164d1, 0xf52ec1bf, 0x5fd0f6c1,
+    0xdcac1c0b, 0x84efc3c1, 0x4b93403e, 0x3c60d6ba, 0x4d776b7e, 0x7f67fade, 0x51b6f1e6, 0x84792cf7,
+    0xd84c96b5, 0x0254affe, 0x40322cab, 0x693dcad5, 0xa8c5e1b3, 0x2ce59920, 0xee0ae84a, 0x3b51ecfe,
+    0x4a9591d0, 0xddbe6666, 0x52489273, 0x6a75806d, 0x74116ba9, 0x907751c8, 0x5bb1e55e, 0xe0ddc81b,
+    0xc611f7fa, 0xa49395d2, 0x6b12d929, 0x821cee44, 0xba7ddfaa, 0xa72b9271, 0xd92312e6, 0x8786c3c3,
+    0x0390c8ad, 0x29e8779c, 0x923e7df1, 0x37657427, 0xd4f51dc6, 0x6554a982, 0x6e7c905f, 0xe134786c,
+    0xe373a066, 0x71ccbddd, 0x4e5160af, 0x6e51221e, 0x74dead47, 0x0214da9d, 0x65ed6a34, 0x3a3693db,
+    0x7cf85706, 0x37d7d331, 0xa986b13b, 0xc49cf60f, 0x8a2e892f, 0xb990a32d, 0xb40415dd, 0x27e90ea5,
+    0x39393030, 0xc6bb5111, 0x47a83181, 0x17461468, 0xdea25ffb, 0x31d05055, 0x869568e9, 0x27fe3fe9,
+    0x2e1ecb3d, 0xf20bb770, 0x83ce6bed, 0xd7c7a3e7, 0xc4b3bded, 0x795ba32c, 0xc5701027, 0xe12686f5,
+    0xa04977ba, 0x1cf5beb3, 0x3d90df1b, 0xa5388b8b, 0xb90c89fd, 0x0b3de5ed, 0xbaba9282, 0xe53497dc,
+    0x25a97eea, 0x60f3325d, 0x8ecfceed, 0x93e33ed2, 0xf5887f3b, 0x7b5e47da, 0xf85787d0, 0xb62bcf18,
+    0x62733fc7, 0x67a88ac2, 0x6ded477f, 0xd66cb8f5, 0x17dedf15, 0x915e02be, 0x80d766f5, 0xc6378ce4,
+    0x58630abf, 0x4aa761ad, 0xc009ec22, 0x109344ac, 0x3c8bff1b, 0x809fc7fc, 0x661881da, 0x0cb25054,
+    0x6ad1c2da, 0xa0db2487, 0x02e1b4dc, 0x4146f2d3, 0x7d9a43e9, 0xc39a8eef, 0x0268704a, 0xe5e8b578,
+    0x1c77cac0, 0xe0c8670b, 0xadae2135, 0xc18f4560, 0x72a63fe5, 0x54ade7cd, 0xe9e8075c, 0xe4136abb,
+    0x1c2dac4c, 0xe8f9f3b0, 0xd22c6629, 0xc54a9c07, 0x831379ed, 0x5d768e2b, 0xea00fd6f, 0xb9a30d51,
+    0xe86ef0b4, 0x8201bc70, 0x019b2208, 0x416e7616, 0x50c87999, 0xb46da0f6, 0x9923a6d4, 0x35b209f7,
+    0xdae7950c, 0x2785b624, 0xd03ea717, 0xbe984e83, 0x05633aee, 0x863d5a0d, 0x00f19f7e, 0x36570d05,
+    0xaf0770a8, 0x74a45423, 0x03e4f731, 0x8c15cb44, 0x0553f3b1, 0x0022057b, 0xe3be92f7, 0xc784c840,
+    0x6fa7f0f2, 0x51f9328d, 0xe7188de9, 0xdb38b907, 0x29e1eb8e, 0xf82c321f, 0xd7b96617, 0xbef6a944,
+    0xfeea9127, 0x3c7c1751, 0x4e73d9b1, 0x1a5116b7, 0xb3ce4aed, 0x44d3acb3, 0x1e63e41f, 0xa7e71fdb,
+    0x7e4d4ffd, 0x210162a2, 0xf2cea65b, 0x08947060, 0x4de85ee1, 0x197c67d5, 0x157c03a1, 0x98dacb27,
+    0x30b86aa8, 0x7ca4060d, 0x2d895d71, 0xb59ffd1b, 0x41026dd5, 0x7aa89873, 0x8e201933, 0x306512c4,
+    0xc4071d6d, 0x9d82d920, 0x1401d327, 0xab43557c, 0x183c864e, 0x3710dea4, 0x2dfab977, 0x3eed7c0e,
+    0xcc04d346, 0xcb6bfc54, 0x20676145, 0xdc9f2a42, 0x768d4c7e, 0x665a6de9, 0x2455e30c, 0x669692d0,
+    0x74542706, 0x9552b789, 0x2f6f6206, 0xe98520e9, 0x22d39cb5, 0x4a0354a9, 0x749d7b6f, 0xc73a28cd,
+    0xb171a8da, 0xd85aba45, 0xd7597d7b, 0x4aa9fa47, 0xf1595e1c, 0x49e1b0f4, 0xe8312ffb, 0xd9b0a070,
+    0xb6417c49, 0xc9d8b79f, 0xd80d5e72, 0x97d0518a, 0x6dfeed0e, 0x1a6a5d53, 0xce1a2f68, 0x65f885cd,
+    0x6234dc62, 0x17953a15, 0xf1b8580d, 0x726aa93d, 0x2f189a77, 0x6e894e76, 0xc836210f, 0xcec94531,
+    0xffd384b0, 0x30d162d7, 0xba55d882, 0x8e014b29, 0x24f5cc73, 0x8543d47f, 0x8c59a5ee, 0x851ea1ff,
+    0x25ca80b7, 0x0870f616, 0x3aa296e6, 0x89276006, 0x17eb9c7a, 0xfec1b072, 0x6d8caa94, 0xca2610a2,
+    0xca211f1c, 0xdfd4a9bd, 0xea630552, 0x28e3e43d, 0x09fab3fc, 0x1fbf5d94, 0x9bfafa5d, 0x5cf2451b,
+    0xcab9c1bd, 0x95ff70a0, 0x6444f59f, 0x256e12f9, 0xaff245ce, 0x8ce309b8, 0xe24d3048, 0x8ed34b31,
+    0xfd9cd77c, 0x387d3835, 0x2f8be64b, 0x9d44869c, 0x71895de8, 0x71037532, 0xb7d8af3b, 0x3221e63f,
+    0xbdc0bde4, 0x6dcf8872, 0xe74afa71, 0xe03f6e9a, 0x2723a8e4, 0xef3c9fc0, 0xcce9fe04, 0x86985514,
+    0x6791ccd1, 0xa7f86423, 0x84357600, 0x94f2211d, 0x8de1c2fc, 0x16ac88b2, 0x08b39bb9, 0xcd41a027,
+    0x18531f9d, 0x4a18d019, 0x2b70a0ac, 0x099159cf, 0x2a77027a, 0xf6416fe0, 0x84204dcd, 0x956f6d8f,
+    0xc61cc045, 0x3860916e, 0x76431230, 0x0fd43432, 0x573e2f5e, 0x41f30a1d, 0xca911c23, 0xbf9daf7e,
+    0x0fec12b7, 0xa3292301, 0x5f8d68c7, 0x125b6bb7, 0x75492968, 0x6f4ceeb3, 0x47bd5efd, 0xd072f348,
+    0x4eb2cb1a, 0x855f45fe, 0x20984d70, 0x0b5160ea, 0x77e9ab90, 0x76c58c74, 0xb8720bf9, 0x116b772b,
+    0x76e647a9, 0x3ea62327, 0x63de8af9, 0xd61d344d, 0x7ddcbb43, 0x854ee1d9, 0xcfd61e16, 0x12f40fbc,
+    0x3a8e7d79, 0x55d917e2, 0x56c3540a, 0xdbcbaa73, 0x8aab757a, 0x78c176ab, 0x8f16bf44, 0x47f5e0fa,
+    0x418a6691, 0xf1b4ebe1, 0xc1384e49, 0xe401440f, 0x66cc8eec, 0x2181c1fa, 0xd329760b, 0x07af915c,
+    0xbfe3b967, 0x52fd1893, 0xc8f05346, 0x762edc09, 0xa0c72c66, 0x39f4c6c6, 0x0e65bf64, 0xcd00375e,
+    0x0b4aa091, 0xee4ab253, 0x811afbec, 0x6ac41f04, 0x82530c1e, 0x43a3857e, 0x34a5e010, 0x628fe374,
+    0x05cd68e9, 0x842e2aef, 0xf0ad07fa, 0x0cd95c85, 0x3b28f603, 0x8f947e9c, 0x5ed8db65, 0xd9e01890,
+    0x14bd9c4a, 0x0d83f1d9, 0xbe57205c, 0x75d1abb4, 0x233461e7, 0x431d0b2e, 0x64d68128, 0xf0478d3e,
+    0x31da44d9, 0x5e58e0f8, 0x9f9fec8e, 0xe17ce0f7, 0x4a22b88c, 0x3ba3f620, 0x61becb1b, 0xcf7a0835,
+    0x3b1db5bb, 0x081aeb54, 0x190e0cb5, 0x69b2b28b, 0xefb91aec, 0x6d452703, 0x632bcbe2, 0xa4c6e7cf,
+    0x2da3a7ea, 0xcfa7064c, 0xcf960b03, 0x7b548965, 0xd5263364, 0xd7b72c29, 0x41533822, 0xd95dac6b,
+    0x009c4e46, 0xd983257c, 0x4a533f7a, 0x0506b1ab, 0x8b1b8644, 0xf7108213, 0x42be83ea, 0x5efb2458,
+    0xe2188e4f, 0xd518f336, 0x92748ca2, 0x48a272ec, 0xccbbe525, 0x8bd4dc6e, 0xf2090681, 0x43d1f04d,
+    0x12ab253f, 0x641b0b1c, 0x00051d6b, 0x5c7850c2, 0xb94cb124, 0xe3b7d84a, 0xc86e0d7e, 0x995bf114,
+    0x8b169d67, 0x65ce3a37, 0xb43c3dba, 0x956675c3, 0x89cf70e4, 0xb5e57eaf, 0xabcb3ebb, 0x5a5e6de0,
+    0x6f24fe84, 0x2abbc4c1, 0x729c250d, 0x200c4da7, 0xb8836b2e, 0x3ce1a848, 0xe75dae55, 0xf205be35,
+    0x2b76d402, 0xd49575a0, 0xa685b167, 0x47307b83, 0x3e4a4f85, 0x04830611, 0x01561f45, 0xa7a81f7b,
+    0x83643e5c, 0x8101d9a0, 0x26c05229, 0x55d0d66c, 0x8c363008, 0x42234c62, 0x82f5a4ff, 0x7a08691d,
+    0x9f0680bd, 0x78885acd, 0xaa2d5c26, 0x26a29c6c, 0x2ac498ad, 0x99cc8b85, 0xf9c8e30d, 0xcc6f295d,
+    0xd8f8e588, 0x10eb045f, 0xb88ff072, 0x5caa5cd0, 0xd42b4d8e, 0x07d10b0e, 0x11a839aa, 0x3bd3c6e6,
+    0x23910f6b, 0x07748100, 0xeffabfa9, 0x0c2c7421, 0x10adc8f2, 0xbad921db, 0x530d2013, 0x71742aab,
+    0xbc0830e2, 0x9034b5cf, 0xd555e162, 0x7a89ee90, 0xa9cce4ee, 0xac12c079, 0x49cc004b, 0xd3160767,
+    0x3f48d3a7, 0x42edc7b9, 0x635c81c2, 0xf97f055d, 0xaafaee13, 0x0a9179de, 0x7ccda98c, 0x441d9aae,
+    0x99e482b9, 0x9301ad30, 0x493abdb1, 0x3ce59746, 0x0fdbe99c, 0x5559bfc7, 0x243cb36a, 0x1e2957be,
+    0x351ac442, 0x12f5a2cb, 0x6ba7e454, 0xc96c1465, 0xfd7852a3, 0xb59ff42b, 0x870f938d, 0x0d95a213,
+    0xf7151b83, 0xf0bad50b, 0xa692798e, 0x6421f744, 0x889daf86, 0xe0677862, 0x66c5d295, 0xb573cc77,
+    0xdce9393f, 0x9768b8e5, 0x86a4c906, 0xea04d854, 0xc2812d31, 0xb6fa26aa, 0x9de68740, 0x321ad739,
+    0xb3e96492, 0xe0a4d3bf, 0x64ee8d7b, 0x6ce024e0, 0xd81757b9, 0xa6d4fb34, 0xf1c7e702, 0xcafa8173,
+    0x57df5742, 0xa6f512bf, 0x7a486ba0, 0x43ae2913, 0x294a6a22, 0x35d3984e, 0x0d70a12d, 0x3beb40d8,
+    0x9707fc7f, 0x3356f6a4, 0x1437c3bd, 0xa98785d6, 0x7a1f7c4a, 0x89cc2df8, 0xbdf0992c, 0x50ec89f7,
+    0x13ad7d0f, 0xb3c9b72d, 0x1fbda29f, 0x71c3d5c6, 0x0be42cda, 0x4d9f8157, 0x2efd21b0, 0xec062c8c,
+    0xed4184c0, 0xbf6be3fc, 0x6e8c3813, 0x19821f5a, 0x1c4ad9c2, 0xca600f13, 0xf2ded55f, 0xa73205d2,
+    0xc36551ba, 0x12f04ad6, 0x8c1f6456, 0xe18dd9d3, 0xddde03bb, 0xcf2b31c3, 0xfa067255, 0x0502f36c,
+    0x8079c1ad, 0xf9784165, 0xaa1b1e2f, 0x3986a615, 0x07dcb3d0, 0x9d1fded9, 0x977ba61c, 0xd1f46184,
+    0x3f875d23, 0x29bced91, 0x483532b4, 0x884e56e9, 0xb7a9198e, 0x664a8f1a, 0x29875ee1, 0xa4bb8881,
+    0xd872e35e, 0xd7add8f0, 0xb45b3776, 0xdb81f6dd, 0x83a9b443, 0xb142f166, 0xa6c1dc9c, 0x955c30ea,
+    0x4eba8e0c, 0x687ad77e, 0xa60b43b4, 0xafb70eac, 0x2f626905, 0xed7b6d13, 0x28da878b, 0xe246ea59,
+    0x580b08fa, 0xafa09e91, 0x01ae93f8, 0x82440caf, 0x6d6e0389, 0x245ab6d1, 0x3afc3dcc, 0xb523bdaf,
+    0x32026d48, 0x470aa3e4, 0x978e4429, 0xf8f0a051, 0x95647d71, 0x8d3e6626, 0x354eef86, 0x47583207,
+    0x93f522f3, 0x8ad7c100, 0x2eb0391d, 0xd5274178, 0xd6940355, 0x39e9ea9b, 0x5f5de506, 0xd1b8740b,
+    0xb28d2a96, 0xda1c75a5, 0x81ae6c10, 0xdec9ed6b, 0xfb7ed6fe, 0x34be0a87, 0x21f86b18, 0x57cdf7cc,
+    0xf3564f1b, 0xed32bd78, 0xd529f35a, 0xb75c8330, 0xe891fd95, 0xb9464fa8, 0x54a75e72, 0x81389de3,
+    0xdd7d121d, 0xc2f4fdcd, 0x0d2254ab, 0xa3a6b6b1, 0x9da8e720, 0x4fddb58e, 0x759116b7, 0xca8af684,
+    0xf69f1778, 0x62186f4d, 0x10dc516d, 0x636c2684, 0x3aacfa32, 0xf0a35287, 0xb04dd1a1, 0xa4fc44bd,
+    0xe6163921, 0x6b24f6e6, 0xa551ac30, 0xe17b46f2, 0xbd0532c6, 0xddd7935f, 0x2e6eef05, 0x3d46e8f0,
+    0xfb2c24f5, 0x1336c984, 0xd74bcb3e, 0x62ef43e5, 0xda485b53, 0xd1db7324, 0x58f7db67, 0x57c03dad,
+    0x368ff012, 0x7213cc8b, 0x0593ac98, 0xdc6315f0, 0x8db5d087, 0x668aeb69, 0x7edd3db6, 0x81d9b6ee,
+    0x7a0bb212, 0x5adb6f8c, 0x320feed9, 0x1001a493, 0x29bd6b49, 0xf9016a1a, 0x14ea835e, 0x579cdd31,
+    0x189a2680, 0x5b61b686, 0xf4916a43, 0x54589e78, 0xbe4f734b, 0x3d6bc3ca, 0x7bdc5bf4, 0xf34d5299,
+    0xf0660116, 0x60ed1e80, 0x3d571882, 0x87428cbb, 0x73be5b07, 0x4ae47246, 0x901cc91f, 0xb67b7ece,
+    0xb2f3e78c, 0xc095f9bc, 0x9a770125, 0x0f36f9fd, 0x3cfa900e, 0x39046bd0, 0x07e85d49, 0x59bc5dd3,
+    0x265673d7, 0x2906388e, 0x30badb16, 0xc6a7f856, 0xcf958131, 0x58afe0db, 0x4601fd16, 0xff2053db,
+    0xe3271408, 0x3c141270, 0x50b3cc01, 0x71746b7b, 0x948ce2f4, 0x33a3658a, 0xc8fdcd14, 0xbb7aa755,
+    0xb50d7dec, 0x34ab54b8, 0xe193b357, 0x4c54f3e6, 0x76df608a, 0xd3e7704c, 0x7cac7d44, 0x05ed7007,
+    0x5ff6c765, 0xd416425c, 0x667ec745, 0x4ddb2d82, 0xc1274fa9, 0xb14ef756, 0x397146e0, 0x439cbf22,
+    0xa6d1956a, 0xbd0ccabc, 0x4e775187, 0x89f1af80, 0x42f4dbab, 0x1c514279, 0xdaa5dcf9, 0x16927ed6,
+    0x7878e002, 0x98200f1e, 0xa935391d, 0xa5523d24, 0x6251c7c0, 0x418858aa, 0x01e909b5, 0xd20daf66,
+    0x9a65ca4c, 0x3111ce70, 0x0620f674, 0x40d8569d, 0x2102305d, 0x46b604bf, 0x0292f14c, 0x82fc97d3,
+    0x819014a6, 0x57238d99, 0x9495699c, 0xf2351ec2, 0x01f1397f, 0x727e458c, 0x19179d6d, 0x4ddfac8e,
+    0xf3c046dc, 0x2ead81e0, 0x054be948, 0x7ee7244c, 0x8639933e, 0x60d74a84, 0x6a542a72, 0x86b5c213,
+    0x2ea01563, 0x263c27e2, 0xf5a53db1, 0x16d89985, 0x48d090ea, 0xb03d02a9, 0x04968b5c, 0x0badfcfe,
+    0x35f1e5fd, 0x81ebba08, 0x93e9b80e, 0x0bc354f3, 0x43853d30, 0xf1cc3f19, 0xebfb75ad, 0xaaf5774b,
+    0xcaf727dc, 0x378db2a0, 0x771b5739, 0x34cd9f5c, 0x500b82e2, 0x29e894e6, 0xb1026f70, 0xd85609a2,
+    0xcdc4a848, 0x32a9f6dd, 0x14edbd03, 0x4c13c62f, 0x507e9027, 0xaad14ea6, 0x8ce00511, 0xc19b9822,
+    0x33e2219e, 0xf144b3db, 0xf1823832, 0x5ca23071, 0x19352f92, 0x6d6cda5b, 0x50202dcf, 0xa6c4b3c5,
+    0xd19f0d14, 0xcf48a242, 0x2b030fd2, 0x3f227c6f, 0x8f41f035, 0x272e16f0, 0x20149462, 0x116f4e4d,
+    0x8a54fa0e, 0x41fe9e12, 0x9ffda85a, 0x70a546cd, 0x2eb12b2d, 0x82377983, 0x38d6ceb5, 0x39c6cd40,
+    0x55803408, 0x9234d38a, 0xdbe6c08a, 0x0397de3e, 0x894ccaad, 0x67af3b24, 0x63754299, 0xb78aa3aa,
+    0xf6cfd05e, 0x369aa630, 0xa8f1c15d, 0xf02b8abb, 0xcb7bd988, 0x9fae044c, 0xc44cbdf4, 0x7836857e,
+    0xafea4fe8, 0xd7eea075, 0x71c85041, 0xfa559dc5, 0x0746c1d1, 0x16d50816, 0x6438cdbd, 0x95f32492,
+    0xaa423862, 0xa3862c81, 0x3be17668, 0xeac4f916, 0x33062471, 0x4fca95e8, 0xc248d1c7, 0xd5a15612,
+    0xaebc812f, 0x5fac0bc6, 0xcee2f13e, 0xcf38b21a, 0x9b8887ff, 0x6e8c0db1, 0xc8adf1f6, 0xcb33595a,
+    0x94dbccbd, 0xf2bef193, 0x7432e4fb, 0x14a56529, 0x8148f75d, 0x8254dd42, 0xc9a825be, 0xbea58f3f,
+    0x5d862685, 0x423ab5e7, 0xc3a47db7, 0x50caec11, 0x5b493974, 0x8adce133, 0xc72b8d50, 0x11d18c1c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000001267650600228229401496703205376 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea036, 0xda812015,
+    0x00000000,
+    0x9c6764ba, 0x3280fe40, 0x45d5d0c9, 0xb4f0abf9, 0x244fe3a5, 0x95c2187a, 0x4e518fff, 0x78620521,
+    0xce63ebcf, 0x86ff1038, 0xf913b196, 0x4c7bb255, 0x8278ac31, 0xef725c2d, 0x47425968, 0x458e2070,
+    0xe8832754, 0x6516e776, 0xc04aa8fb, 0xc692ad56, 0xb54e85c8, 0xbbc87fd6, 0x82cb1687, 0xacada21c,
+    0xe9fd8841, 0x3d5b672f, 0x1e27f5f8, 0xabf3d78a, 0xbdada417, 0x9e9facd2, 0xbc3672dc, 0xdb1ef3d4,
+    0x4b10b382, 0x51139c9a, 0x180026f8, 0xf1e1e94a, 0x90cbbada, 0x75c9dfe4, 0x32360aba, 0xf1b5afe7,
+    0xafe72658, 0x9090f91b, 0x6dbb99b3, 0x7449b519, 0x715e410c, 0x108bfbb4, 0xa58b31e1, 0xef677aa9,
+    0x73d961ac, 0x07bb9491, 0xca9a6931, 0x2c507f54, 0x40dac890, 0xca7ed3eb, 0x2780116e, 0xc3e1375d,
+    0xa314b911, 0x89998bf1, 0x158b07df, 0x6dd357f2, 0x51538b1d, 0x427bd35c, 0x6e35c267, 0x3d6a09e5,
+    0x40e1d1c1, 0x4fc04583, 0x27fa5d47, 0x39ab1f16, 0xb86b4f12, 0x19fece65, 0x3e88ff46, 0x32e4f80a,
+    0x7bb656e4, 0x95e0df15, 0x9602feb7, 0xb9ebc8ff, 0x6bc24cfd, 0x397d23fe, 0x0fe56b59, 0x4326b82f,
+    0xd46b3fc0, 0x1ed3991f, 0x52cf0b3f, 0xd45d01d6, 0xce0c8df7, 0x04da2516, 0x077bc59d, 0x0d6da025,
+    0xcd42be07, 0xf83c788b, 0xbc707a41, 0x2f0f2f52, 0x41d96c40, 0x5672f30d, 0xffd9856d, 0xf9ba244f,
+    0x33722b40, 0x4b1a1a14, 0x8b1e5c84, 0x3d1c8d6a, 0x13df6318, 0xbf582439, 0x2021fcfc, 0xb3c15c5e,
+    0xf9bd62d0, 0x23618bbd, 0x91852d03, 0x307c0c63, 0xae967393, 0x4b9f80c8, 0x6e6be76d, 0x144af1ef,
+    0xe6a65e4d, 0xd55cb455, 0x42eb50c2, 0x0d7d3329, 0xd702a21e, 0xaf214ddc, 0xcdbddf10, 0x3aa6d6dd,
+    0xb20b492d, 0x4fc7b0c6, 0x28ddc598, 0x2678f2ae, 0x4a35639b, 0xfe6751f7, 0xd82df27b, 0x66b8717a,
+    0xe097961b, 0xc4676df8, 0x9e91778f, 0x64e4808a, 0x99c853e0, 0x06479fb7, 0x8f75f60c, 0xd99ec9fd,
+    0x13958aaa, 0x110fe970, 0x52163570, 0xb82e5b67, 0x5c730725, 0x8d96b57c, 0x1ff1f696, 0x1808a8ea,
+    0x05c75616, 0x0277cc52, 0xae432270, 0x1b893dda, 0xbdda4d57, 0xd76ebf67, 0xb186f474, 0x0397b768,
+    0x79133a6e, 0x8e61a3d2, 0x0c1f419b, 0x12342d6d, 0x6c0e5d62, 0xfd9a2b07, 0x65c341bc, 0xd211716c,
+    0x0480d91e, 0xa8d2ed60, 0x2da14251, 0x53636b98, 0xb3d145eb, 0x2a4ebeb7, 0x210f42af, 0xad86a7bf,
+    0x539b2ff4, 0xf6c995f7, 0x1019a3b4, 0xc610ec5d, 0x1bf4556b, 0xe029e99d, 0x8625ecd4, 0xfebbf02c,
+    0x5d3dedb3, 0xf65a78d6, 0x19d2fed0, 0xaf4160f6, 0x101bf437, 0xc36f3b92, 0x02068cc1, 0xb2a82909,
+    0xb3142bf8, 0x1b1eaef7, 0x14b909c2, 0x62e1df98, 0xd0d8e70e, 0xe68189f7, 0xc9c30671, 0x15b7e455,
+    0xa251faba, 0x61df1ab1, 0xd6fef37f, 0x1d9a871e, 0x6f4b7799, 0xd1c48dbe, 0x94eeb94e, 0xf053694b,
+    0xf63935cc, 0xfccf9e30, 0xefb9b3f9, 0x94b797c1, 0xaf86fec2, 0xf5fd8d28, 0x66f63158, 0xb037d3ef,
+    0x4023465c, 0xeffbedec, 0x54cadf96, 0xe105a486, 0x0f8e0302, 0x3b6436ab, 0xf6712496, 0xeed636cd,
+    0xbf3e20c7, 0x8527fa8c, 0xc45814e9, 0xb44d2304, 0x3b206df1, 0x6dfcb9bc, 0x8514c10d, 0x81b746c8,
+    0x8821a1cc, 0x1405e56b, 0xb1c7b1e8, 0x97bdbf86, 0xc76f464f, 0x63959a5d, 0xaec1f5b6, 0x01b23248,
+    0xd74dd575, 0x97b76a9e, 0xf176658b, 0x4838b7b7, 0x98e72f06, 0x05559191, 0x0729e9ef, 0xa1f1f71b,
+    0x190f0652, 0xc63ca513, 0xa6c27352, 0x695c5dc8, 0x1610f1a1, 0x713db46a, 0xc24bbb48, 0x73f777a2,
+    0x6bc75133, 0xb2b62018, 0x1ddbafc1, 0xc3fa5621, 0xe34187ed, 0x8452a6f3, 0xd37db4c9, 0x8ceb64c0,
+    0xbfa6be40, 0x868256a4, 0x9dad4996, 0xa3fcfc15, 0x30e08a18, 0x6caf5509, 0xd6aa9f13, 0xe56363e5,
+    0xbe203fd9, 0xfdf839f3, 0xf4fb37ad, 0xcac440fe, 0xde1b38db, 0x3befc4c8, 0xe2b510dc, 0x0ed3950e,
+    0x7a58e308, 0x8ece931a, 0x5e974f32, 0x68ffc7f1, 0x5ae80108, 0xa0b2ef05, 0xa922f8fd, 0x5d6165fe,
+    0xd11d6bd5, 0xfeeca56a, 0xbc06a4e7, 0xf93595bc, 0x47bdc219, 0x7b6dad96, 0x6aa31ef1, 0x9c8dcefd,
+    0x366ce43a, 0xd9b4a25b, 0x96cd2138, 0x49dbc46d, 0xe08d7b17, 0x5fb8b720, 0x992b80b9, 0x8291b8bb,
+    0xc6472edc, 0x83f9342f, 0xbb87b1f6, 0xc0ff606a, 0x1e7c5a97, 0xb29c066a, 0xf73e1ebb, 0x5752e078,
+    0x16458c53, 0xdc9b16ab, 0xb8702c9a, 0xac1521f3, 0xbf9b230e, 0x493834eb, 0x5ea427bb, 0x7ee11f3d,
+    0x1631a93f, 0x175f0a6d, 0x6f70aebe, 0x6f1d18f0, 0x6dc82a3f, 0xe62339f5, 0x94319947, 0x2ea89fd5,
+    0xd661343d, 0xe55c5228, 0xadbe6e50, 0x9548dc87, 0x7b63c4d3, 0x4862bdff, 0x7eaf70f9, 0x03872440,
+    0x64f57824, 0x2f48cad5, 0xb3c5ee4d, 0xb8b9a40a, 0x540746f1, 0xd029bb90, 0x1c66ea87, 0x659e53d2,
+    0xa45087ec, 0x3fe54be8, 0x5d822187, 0xa2cca80c, 0x5e5e1068, 0x39041fdb, 0xf38fa138, 0x4b55bdeb,
+    0x2aee3304, 0x235555a7, 0x6c6534d7, 0xee73055d, 0x837d0da6, 0xf7a94d1d, 0x0442d64e, 0xd824b3a4,
+    0x2bdeecfb, 0x00b6d5cd, 0x1d536ef2, 0x6f5f657e, 0xd8e0c93c, 0xb4ba8e95, 0xd194bf50, 0x12969e9f,
+    0x70dc470d, 0x963fad5b, 0x3e97d17a, 0x40bdb2b8, 0x813410c8, 0xca4c03b8, 0xd34e9392, 0x85bc9d79,
+    0x614f1d48, 0x522d3c77, 0x9af16b45, 0x3c8c9135, 0x732dcd6f, 0xc9adcf28, 0xac273d8a, 0xe3d870dc,
+    0x0be913a5, 0x693a089d, 0x03ab1cb3, 0x1d123161, 0x7100bdef, 0xc7cda1f9, 0x61b1f14c, 0x893c027b,
+    0xd26438e1, 0x71b20ea2, 0x5c8e9479, 0x17aa688c, 0x05b7a9a9, 0xae550f8e, 0x10756c61, 0xe604fa1b,
+    0x3d42aae4, 0x7f609db7, 0x7aec07aa, 0xcd6563be, 0xcc8637dd, 0x8c126130, 0xc22b4cc1, 0xe5c9bb14,
+    0x4eee19be, 0xf88c2b81, 0x5a65bf45, 0x8b2784e3, 0xf6d372be, 0x3317f109, 0x52191a0e, 0x36e1eed0,
+    0x4318c3f4, 0x4a332ebc, 0xecf1e9da, 0xdf135f29, 0xd63ab614, 0xc79eb8cd, 0xd258a1e2, 0x6638f571,
+    0x7c24359f, 0x6d430626, 0x4e6b405b, 0xe5ae95b7, 0x29f0e24c, 0xa54e2508, 0x2633cf44, 0x2a2401e0,
+    0x628de6ed, 0xdb1b17ae, 0x7dd464ca, 0x8d94ef53, 0x40390916, 0x3dfb6621, 0xc80da327, 0xd476ee21,
+    0x876b0424, 0x877e4b94, 0x41f25ac9, 0x7c35ede7, 0x69508458, 0x20e5a502, 0xbbee72a3, 0x6c123b1a,
+    0x58cff4f7, 0xd105c35d, 0xa5e57939, 0x8cea2bbf, 0xb29c9bcc, 0x3dfe42b2, 0x13fcc9eb, 0xac27c392,
+    0x2b2e5565, 0x2cf2ab67, 0xc5bd22fb, 0x4aa353a4, 0x66eabfc3, 0xa84edaeb, 0xd9ad6060, 0x15542e12,
+    0x9d89b782, 0x406ba0c1, 0x392a3ea8, 0xff99cf6e, 0x5fb13034, 0xd3895848, 0xa0a80053, 0xb8ce7343,
+    0xccb2b387, 0x438ec183, 0x96307275, 0x0b24f8e5, 0xc95ac27f, 0xeada3048, 0xc26ff430, 0x90a166b5,
+    0xa8dcae0d, 0xda20d2c5, 0xb74c2f1c, 0x2dcae92b, 0xdf68b96a, 0xf776f2bc, 0x2dc82256, 0x1d21b5ed,
+    0x90fc952d, 0xb6fc9bfb, 0x80bc9ffe, 0xc10c12e4, 0x87fa9da7, 0x4d78243f, 0xc8cff4ca, 0x19e43f79,
+    0xeb006f36, 0xd8e11d87, 0x2c79b61c, 0x8a8e4543, 0x72edc241, 0xc95ef693, 0xcc56eb68, 0xff67fe62,
+    0x2e03bf7b, 0x6f552e82, 0x55997782, 0xaf50ffec, 0xe01d66f3, 0x9ce9291e, 0xbcc46831, 0x1afbdb33,
+    0x9ce04568, 0xdc39c91c, 0xcb424a0d, 0x59767e0e, 0x22ea3420, 0x2b6d0d33, 0xfd5a4f03, 0x7cce8b98,
+    0xf980425e, 0xc780a657, 0xe91c9c50, 0xd1fb1ab9, 0x25e0a9b9, 0x3e034633, 0x1748d9b2, 0xa7c5fbe8,
+    0x1237e3e7, 0x3012673d, 0x16d8146d, 0xa63265ea, 0xb3a9194b, 0x40a9aaa0, 0x2fb4a70a, 0xdfd7ec1c,
+    0x28feec61, 0x062fdcbb, 0xb91b1b7a, 0x6f2d58a3, 0xce901d89, 0x0f4157ef, 0x9d7cc108, 0xdeb6c75a,
+    0x020806cd, 0x26d816ca, 0x5e539503, 0x15734d19, 0x8e60e9d6, 0x9a47798b, 0xef3670cd, 0xd5d69eb0,
+    0xf57b4186, 0xbedaf361, 0xe2f610a0, 0x3bc808ef, 0x1778686c, 0xa05f77cc, 0xc359ab00, 0xda052551,
+    0x4398ef9b, 0x7a007fb7, 0x3512b364, 0x20589325, 0x4e0f573e, 0x234dcfee, 0x6689bef6, 0xa133da0c,
+    0xec2a8343, 0xe3a5561e, 0xcfc0b1d8, 0xe1f4c3b6, 0xe523173a, 0x08201642, 0x8a611dbc, 0xdcce7f3f,
+    0x0acf47ef, 0x1f433b09, 0x2f601bde, 0x9664d99c, 0x18308f54, 0x3f9a9dbe, 0x0b7cbb14, 0xf5cd5e6b,
+    0xe583f27a, 0x2fa5b718, 0x4917b6fe, 0xaec4f5cf, 0x327e44a4, 0x8452e73d, 0x7ccb940a, 0xdef8ada7,
+    0x88883b1a, 0xaa0e004f, 0x2fb32fb1, 0x4a1443ad, 0xb301128e, 0xbe6eb7e0, 0xb48fc12c, 0x85d18d46,
+    0x370eb383, 0xf6866ad6, 0x340e0d37, 0xeca6147c, 0x337bfd09, 0xcaae418c, 0x960410fd, 0xaf5a8d4f,
+    0xc8031a74, 0x79aad6db, 0x7381a17d, 0x07dccbbe, 0x04fdf9b0, 0x9ecd9718, 0x33ba2361, 0x68518dc7,
+    0xf256d0a1, 0xad03d390, 0xd7d5d980, 0xf1437dfe, 0x00306a33, 0x377eb1c1, 0x8ce3df0d, 0xa197537f,
+    0x12a0fd29, 0xafd33856, 0xa3a84959, 0x4934913e, 0x4944174c, 0xc93ee598, 0xeaa1fdc1, 0xcbf42a8a,
+    0x708cf591, 0x5a011932, 0x9596355e, 0x54f96f57, 0x9c458f74, 0x6acea31e, 0x7f07d0a1, 0xd9c0c0c7,
+    0xd50bb13f, 0x34219be3, 0x3f47ee96, 0xb329bc2a, 0xe83734df, 0x3304d2fe, 0x70e9d9c8, 0xbd4f0c9a,
+    0x470e2ed7, 0x85f9f796, 0x469566ff, 0x613e5ddc, 0xd82acd57, 0x6de94ad6, 0x808c8124, 0x065707a9,
+    0x6ba10935, 0x1598a9bc, 0x1b62116d, 0xf27caf7d, 0xe449fadc, 0x91362e76, 0x4e5f809c, 0x46727e62,
+    0x7ba0718f, 0x2a0a0f32, 0xc1b3cbc1, 0x0107d35d, 0xec8da51b, 0xd250313f, 0xf94eccf7, 0xb67151d0,
+    0xb37719d8, 0x22732bf1, 0x6255e58f, 0x709d4c4d, 0xc375ca61, 0xc1359e7d, 0xb9827520, 0x83fbea60,
+    0x86d6cf3b, 0xcbf6e98c, 0x6a124fcb, 0xcee9748a, 0x85299cb6, 0xc95f3600, 0x6641f7a0, 0xed67b26b,
+    0xee218639, 0x8da58346, 0x0d095268, 0xeb2607fb, 0x1f79c11e, 0x56761a63, 0xd2dc7f64, 0x8d6ba4ba,
+    0xcfe9a5e1, 0x82c2f7d0, 0x46d81712, 0x690fdc6a, 0x78b92e57, 0xf953584f, 0x2b68f0b7, 0xabe32075,
+    0x469ba0d1, 0x885f717b, 0xb6746597, 0x9da54ac8, 0xda529bd1, 0x28f745f7, 0xdcc57e7f, 0xad4f5531,
+    0x53f2ffc2, 0x2aab3365, 0xe7f445c8, 0x3ecb2a22, 0x59ff84db, 0x0adaa2d5, 0x492a95a0, 0x306dd05e,
+    0x637613d5, 0xb1620496, 0xe5037da2, 0xf30d5eea, 0xb13cdfd8, 0x7f831d2d, 0x9f365fd1, 0x01c019a1,
+    0x0354664e, 0xf22278db, 0xa579bfbc, 0xce01145d, 0xc26f1905, 0x29feb529, 0x21b55ec2, 0x5c8be315,
+    0x97714d48, 0x7fc45c66, 0xdcef36c2, 0x9dc15a5b, 0xdc2bbb08, 0xf6fd9858, 0x5af2789d, 0x03cc9d16,
+    0x775c1a05, 0xd81be7ed, 0x3dca4b80, 0xf976e40f, 0x1a355a71, 0x6b87e936, 0xd9af2c02, 0xf3bb4aa8,
+    0xc6db7a46, 0xea59e1c1, 0xbf30e910, 0x2380f168, 0x19fd6dde, 0x20242ece, 0x05a8cb54, 0x6e17739a,
+    0xf710a0b7, 0xef8c88a8, 0x5b0185e7, 0xcbf6dc1c, 0x18f46e33, 0x95364f14, 0x30844853, 0xa802f16e,
+    0xac906e71, 0x6ef2e9ef, 0xece4a32f, 0x17c797db, 0xee202bb7, 0x3f657b9a, 0x6807913c, 0x4afffe5d,
+    0x3847b36a, 0xdcb69ef8, 0x5edc5e74, 0x2dd8a178, 0xab1b9b6b, 0x9a699423, 0x24ca1509, 0xcdf71082,
+    0xc47bc5ba, 0x864da529, 0xedcbed2e, 0x54094ae9, 0x9203cfc5, 0x6c9307e8, 0x57c0d365, 0x3293de9f,
+    0x84770305, 0x2bbd70ad, 0xadc65828, 0x0fe63795, 0x94bed210, 0xd01bfef7, 0x4d7c5b67, 0xd6d436dd,
+    0x87bb646a, 0x5e90b59c, 0xa85917fc, 0xd7e7362c, 0xaba410cb, 0x707f2a45, 0xb71954a0, 0x744837ac,
+    0x4a5d8b5b, 0xf53fc71c, 0xe62b705f, 0x8e7638ed, 0xa8700242, 0x9fa39b5d, 0x464dd659, 0xeb3c13ff,
+    0x5d631bb2, 0x6bd480e8, 0xae95b843, 0x5cdb4fa1, 0x6e56a049, 0x984184f8, 0xb5cdf70c, 0x38feb898,
+    0x9b058c40, 0x4d4e402b, 0x87121202, 0x28dd95f0, 0x482ef08f, 0xef65085d, 0x75e6c66c, 0x49c013b2,
+    0x5c596f8b, 0xc5d2212a, 0x29b3d3dc, 0x2bf6deb7, 0x9c879c2a, 0xc8795b41, 0x0298b166, 0x4e05e1a6,
+    0xc9cd1c87, 0x015f32ba, 0xf6a39999, 0xbb514723, 0xec0d8bac, 0x797248b4, 0x576f9d05, 0x5e1c4596,
+    0x5462169c, 0x6e222987, 0xc35242a9, 0x099ed43e, 0x36f697ed, 0xaca80233, 0xed0fbde4, 0x14043f41,
+    0xd71c9900, 0x161bc312, 0x9e88a3a1, 0x8ceaa6ae, 0x9c3160d5, 0x9bd2ed0a, 0xa4c8d745, 0xee189e1a,
+    0xc7680c13, 0xca4df511, 0x6aef0c5b, 0x4ee4693d, 0xaaa82463, 0x723ea1c7, 0x0943b371, 0x363a17cf,
+    0x115e4fec, 0x6aad0710, 0xfd1c8ed1, 0x67da12e8, 0x5ba666cb, 0x32fc1159, 0x926f3bc3, 0x89856284,
+    0x64f0b73c, 0x08af005d, 0xc6409892, 0x21e08ebd, 0xb3d7abf3, 0x1f8221ac, 0xb0d4106f, 0x7bcfa022,
+    0x6dc09d8b, 0x73e28ffc, 0x12ab9560, 0x553dc85f, 0x19cc0651, 0xa31680f5, 0xf4b7ca59, 0xf65cc21b,
+    0x51bd2d2a, 0x65064b24, 0x4ee227d0, 0x83d7aefd, 0xb85eff0f, 0x31907dd1, 0x6889961a, 0x95542731,
+    0x7aede0ec, 0x0c907034, 0x3e69eee8, 0x57a31ed6, 0x92fe448c, 0x292955ea, 0x05bd4cf3, 0x70bb638f,
+    0x4988814f, 0x069682ed, 0x03f3607b, 0x1c318935, 0xd73efc6c, 0xda8bcfeb, 0x442eae4a, 0xb7c1bdbb,
+    0xba01ff00, 0xf9834454, 0x203e9491, 0x2ab9d75c, 0x402e2a7c, 0x0c9c588b, 0xa03204ec, 0x0c3659df,
+    0xddd04c77, 0xa3730970, 0x56a703aa, 0x9eeb5d0b, 0xfbe5cb47, 0xb11bf0f1, 0x7f046c6d, 0xfff64076,
+    0xccdace84, 0xd368fc7b, 0xc1a1d065, 0x53cae9d0, 0xdbc2d3ed, 0x59ebcd49, 0xd3818cbf, 0xdf920162,
+    0x72b60eb6, 0x08d3d636, 0x21367358, 0xfc31af8e, 0x21dbe6ac, 0xc6ddb65a, 0x04be486e, 0x3d6fa3c0,
+    0x979d075c, 0x3399049d, 0x4b6a3d5c, 0x0a86e129, 0x0a52cca1, 0xc96cb45c, 0x1cb3e4d5, 0x84c7b07b,
+    0x4b3bb38a, 0xa884095f, 0x010ee740, 0x662fac42, 0xd0a43b34, 0x62adb662, 0x5521f60c, 0x11129c0b,
+    0x39aa0569, 0x1742f538, 0xeead1ece, 0x900bc018, 0x088f4839, 0x13117f18, 0xfb88af57, 0x52d429bd,
+    0xdcfd7703, 0x41f69279, 0x3504fdbd, 0x8bf4cc98, 0x693b3820, 0x754ea7d7, 0x28cd54d4, 0x6b936a18,
+    0xdf196e6c, 0xdc258d7f, 0x8ff83191, 0xeebb24b8, 0x2061fd04, 0x4e6d414e, 0x146d709a, 0x39f97508,
+    0x915a25af, 0xf0fee4c5, 0xbfa173dc, 0x13c200ff, 0xb17161a2, 0x13b9d3b5, 0x4a66028f, 0x0d689d11,
+    0x82a9c28d, 0xbb6ac10b, 0x53c82cf3, 0x319b14b8, 0x577a77d4, 0xbc63a59f, 0xfe62bc29, 0x21945c68,
+    0x55df5365, 0x051698f6, 0xc877f819, 0x9d1e6083, 0xb5c7d1bf, 0x32f141bb, 0x49211e3d, 0x77889b3e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000633825300114114700748351602688 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501b, 0x6d40900a,
+    0x00000000,
+    0x8d7db0b4, 0xb47ace82, 0x19676241, 0xe5f6b090, 0x61b41fe9, 0xd468b9c1, 0x5314c467, 0xd3fd9c80,
+    0x803175c1, 0x34c0404c, 0x2e9b84f3, 0xab28620e, 0xc6a196df, 0x62075d11, 0x5b4765e8, 0x5337f558,
+    0x36d55ea4, 0xf3d8fdf3, 0xe9833657, 0x67e6e4ec, 0xa2f4547d, 0x8d60c6cb, 0x13563b3a, 0x6ada19e1,
+    0xf669b602, 0xbaf1786f, 0x049de3fb, 0xe4338ff9, 0xf5635c8f, 0x2137a2e4, 0x7279abc6, 0xd5165ddb,
+    0x3cd871f1, 0xc94d21bd, 0xd0235547, 0xcc6c061d, 0x6b3392d7, 0x20f740f9, 0xd2e9bca7, 0x4a287788,
+    0x63afe522, 0xb8ffe516, 0x094c22b5, 0x77e283a6, 0x710a2da8, 0x36feefa9, 0x14845521, 0xdeb47b8a,
+    0xbaacd046, 0x88808e20, 0x754106d5, 0x8b481f81, 0x5cd9c708, 0x76650018, 0xec23d107, 0x0c97793f,
+    0x98f7ebbf, 0x3f2f2390, 0xce4d2f34, 0x5e798ff3, 0x51f9a252, 0xff9aca3b, 0x2fdb077e, 0xd37b735f,
+    0x52e1c1e0, 0x7de386ee, 0xef5c21c9, 0x3c6e5d51, 0xd93310c5, 0x10449868, 0xd83858b5, 0x55d25ff4,
+    0x79b48237, 0xac12c9cf, 0x1254b125, 0xd7796bf3, 0xccbb2812, 0xb6f34478, 0xbba171c8, 0xa4ba780c,
+    0x93398aab, 0x4ec0d0f7, 0x22eeadfa, 0xfe66004d, 0x4d4d1962, 0x2ce20230, 0xc7e37c65, 0x6a382b41,
+    0xad4acff9, 0xf3ff6e7c, 0x82eeecb4, 0x27d2f2bc, 0xdf794148, 0xfa505b96, 0xc05da187, 0xcb45ee7c,
+    0x4c3ea476, 0xa365d2be, 0x9d9a1b00, 0x131527da, 0x7f36739a, 0xf39d4c95, 0xc5715e6c, 0x34369917,
+    0xae45c79a, 0x3b16b3e6, 0x2c318466, 0x4c1f9b42, 0xd27776c1, 0x585fdfa6, 0x958e94f6, 0x5cdb977a,
+    0xc8177a95, 0xcd92cb3b, 0xd0c085c1, 0x24697ac7, 0x02ceb085, 0x8ed2621b, 0x79adfa92, 0xdf272734,
+    0xf692f5e1, 0xedefdfd8, 0x91bb6dfa, 0xc7489201, 0x247a59c2, 0xee241ee7, 0xcbb2bcad, 0xad0d5d4f,
+    0xed68cacc, 0x3606e7a0, 0x50d4af28, 0xd4db673e, 0x6f03d8ca, 0xc2ffe9e7, 0x4393029a, 0xb0164cd9,
+    0x9e0e25eb, 0xf0bf11aa, 0xad0df1c4, 0x371dcc1f, 0x9485e04f, 0x02f9916c, 0x250b8816, 0x63f4de3f,
+    0x216df909, 0x7f482821, 0x6ccf1b4d, 0x6dbac7f7, 0x2663a92f, 0xaf05de2b, 0xde96bc62, 0xd93f88ee,
+    0x6f59f209, 0x8fa9474c, 0x6e1730e6, 0x467839b8, 0x6f4c17e4, 0xb66f0e20, 0x778fa164, 0x3e013c31,
+    0xe85393ad, 0x4ab8774d, 0x141f462a, 0xb23c90fe, 0x2b25fdcc, 0x77de33ae, 0xb82b5564, 0x0d4acbb7,
+    0xb7f23052, 0xf5dafc63, 0x37d78923, 0x1de36317, 0xc6607840, 0x2d50feca, 0x06920007, 0x59c1434d,
+    0x39ffc435, 0xe350edf9, 0xd5f4b2b6, 0xfc7c8c51, 0x2d09df31, 0xb74bd7f0, 0x5fe760f5, 0x7fbb39fa,
+    0x1e0c9088, 0x17fa6d6e, 0xf47e3064, 0x0a68e70f, 0xd32d2e5d, 0x51809429, 0x90f17745, 0x8ff2ae84,
+    0xb73274db, 0xa2607c52, 0x60856e6d, 0x8107d86f, 0xe8a3e15f, 0xa7325029, 0x16f35bbe, 0xdef50ab1,
+    0xb7053dfe, 0x5bcc21de, 0xfdcb95a0, 0x2081a5b6, 0xd59e0fc8, 0xfa748f71, 0x8b6bf168, 0xa61bd538,
+    0x93d06e2b, 0x9b02eea8, 0x093e9946, 0x2d76d5a6, 0x9f22f2cb, 0xe5c9fa85, 0x9d6ae9e4, 0x7768d231,
+    0x9d1caebc, 0xb3e467a9, 0xfe8f7789, 0xdc409ac0, 0xc5d27dd4, 0x1cacc42f, 0xd0b8e8d5, 0xbb08bedb,
+    0xbc0d9e11, 0x30998996, 0xeed619d7, 0xeeadcca9, 0xb9494911, 0xbe9394da, 0xb8954e31, 0x34acf42e,
+    0x1676e256, 0xdbb71be0, 0x2a5e16f6, 0x85e99715, 0x84a83da4, 0xe76a1679, 0xe1a8ef44, 0xa7eb232e,
+    0x525f3f54, 0x0af6ca40, 0xd3cf68f2, 0xf54ab040, 0x3a3d7b26, 0xe431b7a8, 0xce06b5ab, 0xac7c9cc8,
+    0xe3782df4, 0xd82ab9a4, 0x22877215, 0xc7a3f877, 0x3d13ca2a, 0x95e61ce0, 0x7a4097ee, 0x57e86d55,
+    0xc374615f, 0x2c77ecf3, 0x153b099d, 0x08eba41b, 0x200e3bdd, 0x822118c2, 0xb6857954, 0x9624d1f0,
+    0x4956d3bf, 0x23354cc9, 0xb321b24f, 0xb3bf2de9, 0xa2862125, 0x856deeb3, 0x2f7a9928, 0xbbc285ae,
+    0xacf8f00d, 0x8b65cd4e, 0x4b1b315b, 0x3981314a, 0x969a4ba7, 0xb71fd5da, 0x39986d20, 0xf7fe2aca,
+    0xb8ce9c85, 0x6c2b9b98, 0x1a2b2ab7, 0xc2bab04a, 0x35eca18f, 0xa20d9d2f, 0x187a9de7, 0x2f1e3faf,
+    0x7398b78c, 0xd8fa30df, 0x662e2ae0, 0x7a8000f4, 0xe64c4da1, 0x6c4ff856, 0xd149fd5e, 0x85e14e15,
+    0x0514020f, 0xed59a246, 0xb3be3e36, 0x8888a491, 0x2565ef31, 0x3c9d9719, 0xabd334c9, 0xa13692be,
+    0x97c9777c, 0xc74f4528, 0x2dae9f9f, 0xcf6f7fd2, 0x0c9caa9f, 0x17b5e78c, 0x3592163a, 0x1660594c,
+    0x11e1ba35, 0x1b0d85ea, 0x841b973a, 0xac24e5cb, 0x21a42ee8, 0xf93a9c8a, 0xce640b8e, 0x90e56658,
+    0x9893e213, 0xe0318762, 0xdaf6b168, 0xbb26030e, 0xaa65f26c, 0x09fbaee7, 0x18f2860d, 0xfc8643ff,
+    0x684030e9, 0x8dc8af65, 0x3cc581ca, 0xc084e8d9, 0xc0f9ef1b, 0xc90c39b0, 0xcbab80a1, 0xec3b996d,
+    0x002a4cb7, 0x0522bb2b, 0x41254de5, 0xebae2aa7, 0x0870885a, 0x8d119390, 0x78c5621e, 0xe81d169a,
+    0x2bbda991, 0xa9889194, 0xb0d4cf69, 0x4f61fdfe, 0xbf64ca88, 0x6c484b9c, 0x0ac232d3, 0xf142088f,
+    0x806b59fc, 0xb5eda2a4, 0xbe3de63a, 0x5a54e18b, 0xf6969ae6, 0x9f2d2c0a, 0x4bd17695, 0xff12b404,
+    0xe645fdf2, 0xcaac68fd, 0x5b781ef0, 0x6a24ed6b, 0x1e65ee90, 0xa177cff1, 0x9f5a19cb, 0x92e2a048,
+    0x3f4e22fb, 0x7cc7f0e7, 0x11ce766a, 0x7130dc66, 0xcf2af587, 0x2ad21c8d, 0xa6aa1ffa, 0x7eddd4e5,
+    0xf6966f9a, 0xeb48f364, 0x6cabf43a, 0xa4a97b4f, 0x586e9c83, 0x0b6e9712, 0x67491080, 0x142abbbf,
+    0xb447da13, 0x82658fb0, 0xcf0ea1c9, 0x5c0399bc, 0x23798dbf, 0xe763775b, 0xfa664981, 0x7da8dc71,
+    0x69474d50, 0xb0fda8f9, 0x428ff588, 0xa347dfa4, 0x91afa54c, 0xab5f040f, 0x65c33d15, 0xaeb96bdb,
+    0x95f8f6c7, 0xb6ec4b91, 0x1b078428, 0x2ffd5d64, 0xb984d214, 0x23a5eb24, 0x318110c3, 0x38016186,
+    0xcb9d7d45, 0xaffa35ae, 0xb99b6611, 0x7868dd4a, 0x34bd4273, 0x325f1d99, 0x1996863b, 0xe887c973,
+    0xc9b7135c, 0xdda2aed7, 0xf5dd9019, 0xba7e6dde, 0x26cf486f, 0xc4ed7ffb, 0x8da8a8cb, 0x2999a88a,
+    0x98bd9f08, 0x2ab9797d, 0xc193989e, 0x2ac0b988, 0x9f4b79a6, 0x3193537a, 0x652aa467, 0x75c7cd94,
+    0x3cf21ba4, 0x27e490f9, 0xccf10d21, 0x4c0ca068, 0xcc19c2a4, 0xf32cf195, 0x50c9dc12, 0x0d6377a0,
+    0xee275e92, 0x93af13db, 0x73cc0145, 0x698422f9, 0xeca3de61, 0x104346fe, 0xe89c7f93, 0xa193135f,
+    0x168360ab, 0x11a41647, 0x4d76e3a5, 0xc99e5957, 0x6aac4130, 0xf0533b64, 0x17e7483f, 0x9c000779,
+    0x52791227, 0x64b3cf18, 0xc7cf2cc3, 0x27b67a4a, 0x28291d1e, 0xe2a6ace3, 0xeea5be8a, 0x2e506eea,
+    0x952f3b61, 0x145659b1, 0xa7914c17, 0x1b602623, 0x37fff414, 0x6f95e602, 0x45b5c9a4, 0xe221eb5e,
+    0x7b78a8d4, 0x33fa7357, 0xcd13d705, 0xe7798eca, 0x258ef969, 0x84a7edf8, 0xbc84147e, 0x143ae8a6,
+    0x86361e8f, 0x090dd714, 0x28ab6fbe, 0xf7cddc46, 0xc1e8acf8, 0x850f93b7, 0x2f12de24, 0xbf830deb,
+    0xc51f7cb6, 0xf0a65d4e, 0x78cb73ae, 0x0e563a8a, 0x952f8cdb, 0xffa6d846, 0xbad64583, 0xf695aad5,
+    0xe6a7a3f4, 0xa3365eef, 0xca89e2be, 0x9935ccab, 0x1ea9bfe4, 0x6ba59f12, 0x3d835cd7, 0xd467a58f,
+    0xfe7de36c, 0x33f57a2c, 0x510f4d46, 0xe7f1be1b, 0xc73d245a, 0x22e567ed, 0x5d26c9ae, 0x6457ca12,
+    0x9f82e81f, 0xe641b5df, 0x9de67058, 0x4b2b313d, 0x31550e6b, 0xcb50d2db, 0x6c682d30, 0x850541aa,
+    0x183f0404, 0x255edc88, 0xd76f67d7, 0x70243d69, 0x799e4f2e, 0xfa6aa3fe, 0x94412f54, 0xd813023b,
+    0x00a8f8a7, 0x5d810989, 0x75577f31, 0xf55ad565, 0x28aaff86, 0x9d350a0e, 0x3f1f812e, 0xf32b7660,
+    0x80c7a0ae, 0x30faf97d, 0x700989d2, 0x6fc7040d, 0xcf68355b, 0x86d48eb2, 0x59c72095, 0x7c9bcf77,
+    0x3887944d, 0xdf22d3a9, 0x02978b3e, 0x67969d81, 0x2ac87c04, 0xc202d21b, 0x02d9aa42, 0x893dab98,
+    0x9fe68a2d, 0xe07c64c0, 0xbc3e6b74, 0x5cf0f867, 0x7ab98766, 0xe8633fa3, 0xaaaebca7, 0x69b7d68f,
+    0x356dc41e, 0x40240c57, 0xcb97e21d, 0xc383d891, 0xba489739, 0x0ff741c3, 0xfc439a4f, 0x5fdf5088,
+    0x8296c2f0, 0x1f8eda7b, 0x399bd2d5, 0x295c5c81, 0x8defd08e, 0x6b47a1e8, 0xa4e838cc, 0xd7a0e92e,
+    0x73061387, 0x5c626e5d, 0x0097706a, 0x91952278, 0x82daa8d0, 0x8fed9af5, 0x8c720080, 0xfa115cee,
+    0x5754f2d6, 0xda780de8, 0x7a3271ba, 0xaed15357, 0x9f7b6a2e, 0x0cf4b073, 0x0b08f2ee, 0x29b4aaa7,
+    0x6779baf4, 0x8efd17b2, 0x541c1d54, 0x952bc933, 0x5e2a86d1, 0x0e7b5c94, 0x5aea4a08, 0x96370f0d,
+    0xb657bdcb, 0xf14eaeb6, 0x731c6edc, 0xc0687c06, 0xff246a1e, 0xa08c3ab6, 0x99dbeb53, 0xf0dd93ce,
+    0x349e3e3f, 0x403aeb66, 0xdcf51202, 0x8d26ea74, 0x2bb8a266, 0xb47ac8b3, 0xd2095508, 0x8b523d65,
+    0x9c874ecf, 0x7b9a62b2, 0x0cdd92a4, 0x84605b0a, 0x8263eb18, 0x078df583, 0xbd833354, 0xe7845c0b,
+    0x11791734, 0x88c1b5d7, 0x7e4adae6, 0x640c603c, 0x7429d7ee, 0x832cad6e, 0xe5af73b7, 0x7b0b0f14,
+    0x58411b67, 0x3f5442c2, 0x3921c673, 0x532c6668, 0x66c28ca5, 0x6bf41080, 0xbf04e626, 0x15fdaf0e,
+    0xbf6bba35, 0xb9b80ccb, 0x2890b631, 0x33436e71, 0xd3479667, 0x69a3689b, 0xf88253fc, 0xa15b41a5,
+    0x86659608, 0x4b34dd42, 0x4b1eb6a0, 0x9cb86607, 0xa92194b9, 0x859642d6, 0xf90f1e67, 0x55703fa1,
+    0xbb4403db, 0xab6d9a4d, 0xb1afe9a1, 0x1c3f7bd5, 0x2e4f9506, 0x9c0589f1, 0x71206ab6, 0x47f0c9cf,
+    0x5078a570, 0x376ddafc, 0xffc5f9eb, 0xc08b8552, 0x3b14a002, 0x3eb9a30d, 0x5f9211d9, 0x11b736fe,
+    0xf0acbce8, 0x3e0da480, 0x0aec6267, 0xacd67bd0, 0xf49204d9, 0x2791b9c6, 0x0677fce3, 0x61cd3b5c,
+    0xc1f4e711, 0x967d5479, 0x7623e3f2, 0xfdcf574c, 0xb1f37952, 0xdd222f6e, 0x7c0b5f07, 0xd05abd5c,
+    0xc04fa3d3, 0xfd3db422, 0xb1d31bcf, 0xb73743a2, 0x534eaf58, 0xe5180846, 0xb2d38bd9, 0x9a9157e2,
+    0x387f3714, 0x45d8fc17, 0xd8650ef5, 0x595fda10, 0x6a6aaed3, 0xd240cdd5, 0x145d6fde, 0xcc8465a5,
+    0xc90d9360, 0xb422f14f, 0x6793c6b1, 0x99acb74b, 0xbe95dc6e, 0xdd805c8b, 0x19ed3fe3, 0x7dcd1060,
+    0xb2a6b037, 0x801e02ec, 0x52f54c8e, 0x7ca4b131, 0x062b1410, 0x47fb5dc6, 0xf8ee140c, 0x2b0a9723,
+    0xd9fb5cd3, 0x411362a8, 0xd96b9435, 0xf8269934, 0x0e712e14, 0x64e05b7c, 0xe2790416, 0xb3a173a4,
+    0xad05da07, 0x7c5fa6ec, 0x0dfa845c, 0xa280b3e5, 0x01f1947c, 0x925d5376, 0xca51e6f1, 0x4e392b69,
+    0xec44593a, 0x3166821e, 0x7fc2d70a, 0xaa3c7b4c, 0xd4424ec6, 0x36338826, 0xaefc64aa, 0xe27e12ae,
+    0xbbb3127a, 0x9da7c17b, 0x959990ae, 0xeb934dc6, 0x15c78283, 0x1becf1fd, 0x3184f4d0, 0xb6260539,
+    0xb120fc77, 0xd8196350, 0x42f5b646, 0x17d49984, 0x494284dc, 0xe6b5fdff, 0x620a4f7c, 0xc2da940f,
+    0x51367b25, 0xc57952f4, 0x5602d9ed, 0x03c205a5, 0x98cd1dcf, 0x472d539b, 0xd0087afb, 0x07256721,
+    0x8a6aba99, 0x7a85b89c, 0x58438923, 0x469c1e23, 0x0a071a97, 0x97135f15, 0x4a64ad27, 0x11253057,
+    0xd52bd9b7, 0x9b690f96, 0x0dcbc429, 0x3d387e9b, 0x143b2cff, 0xb30374e4, 0xe03f29e9, 0xe1919af3,
+    0xb516d22e, 0xbb9e05a3, 0x32cd460b, 0x73a81e9d, 0x3faf6a3b, 0x7a1bb808, 0xd02d571c, 0x67c309b9,
+    0x86b72204, 0x8644089c, 0x98f7433e, 0x176a2c18, 0x3fbf1ce6, 0x4ea874f3, 0x46fb8a41, 0xd024c2e8,
+    0xb8bacebc, 0xdfc607fc, 0xa165d771, 0x1f6f4dcc, 0x18287cdc, 0x30f2ea0a, 0xb74be5be, 0x75bf36ba,
+    0x6c60515d, 0x0a232a91, 0xf4994a52, 0xfc0a126b, 0xe60a8c6d, 0x9ae0bcc5, 0xf1401431, 0x974c0079,
+    0xc99f6364, 0x8ccf1c5e, 0xd9725b95, 0x953e35b2, 0x2e82320f, 0x78b41699, 0x62a3cc01, 0x7b719fae,
+    0x37b2b07f, 0x26e177cc, 0xbcf0700a, 0x5d1c268f, 0xdad2305f, 0xd656d215, 0xf501ff68, 0x8def6d14,
+    0xd83bdb01, 0x6d56df63, 0x2c16acf2, 0xf87711ee, 0xf87361f4, 0xaa63e65c, 0xbba333ec, 0x45139079,
+    0x7e674202, 0x84584e1a, 0xdf0cdfe3, 0xbb060fab, 0xdbbb1c90, 0xbd690c15, 0x4da10899, 0x8f64c5dc,
+    0xf1b7aba1, 0x42b9cbfb, 0xbca505eb, 0x7c123c78, 0xfd50a064, 0xf007ec02, 0x4928944c, 0xf397cf44,
+    0x45ae379e, 0xaa7cbe35, 0x2bbbc5a5, 0x417aad08, 0xc095fcb3, 0xfd5936bc, 0xf6977de0, 0x9fb09748,
+    0xe284a123, 0xd3b869cd, 0x62a94092, 0x13e56d20, 0x4bea0987, 0x6c7e3e0a, 0x86148995, 0xf845e1cf,
+    0x375aeedd, 0x4fb48c9b, 0xd1064092, 0x20272e69, 0x282029b6, 0x9a90d140, 0xc8a39f00, 0xca130502,
+    0x15cac0e0, 0x8b37b4b3, 0x658645c8, 0xd00a216d, 0x7d4d731b, 0x6156eb55, 0xbe791c6d, 0x81dfeaea,
+    0x51725e3b, 0xee3903c4, 0x8219d986, 0x0a215a8b, 0xe53c26a0, 0x627bf7a9, 0xd14d0dc5, 0xb31da351,
+    0x0104e798, 0x3a7cc7fb, 0x04a06fbe, 0x6caca07a, 0xa66de357, 0xb1b44bc0, 0xeeedf039, 0x60bb10df,
+    0x9da2e06d, 0xdb0813a1, 0xcdba9c5f, 0x2a5a261e, 0x2cf435ac, 0x8a3cc641, 0x885aa8a2, 0x259b4cfe,
+    0x3bdfbcc2, 0xbb624d95, 0xf6a10f15, 0x931c8561, 0xa00d6e03, 0x201b9c1c, 0xd1527395, 0x623cac98,
+    0x0c0b4525, 0x1491de97, 0x85f6ff0d, 0xe59ecb62, 0x4aeedd8d, 0x25529714, 0x5b15802e, 0x2b062419,
+    0x06840533, 0x990ab668, 0x40626eff, 0x00b85ea6, 0x4fe4f9ae, 0x86ef55f6, 0xfc03e0fa, 0xd23d01e4,
+    0xf98fe671, 0xc6361992, 0xbc4230bc, 0xe82dbf7c, 0xe16f2f66, 0x06761443, 0xe3095f29, 0x50eedda4,
+    0x59c2dc9e, 0x7d6dd49e, 0xeddcf3af, 0x603c182e, 0x188927d0, 0xcdfac036, 0xe95347de, 0x371c7964,
+    0x2f6f5267, 0xb9dd1ce9, 0xe568003d, 0x80da320b, 0xd775b241, 0xc8edc7b7, 0x18e9df0c, 0xc0fad4cf,
+    0x9aa4b878, 0xc1a2b32a, 0x5bf3d552, 0xbf2302c6, 0x1cdaa505, 0xe94acb59, 0x56fe7175, 0xbb86ea4d,
+    0x759869d1, 0x96d1c339, 0xbc4297f2, 0xf1b81455, 0xfaee30d4, 0x7cac41b9, 0x780bb674, 0x71edf8e2,
+    0x83be23d2, 0xa564af02, 0xb637fbe7, 0x88fd4072, 0x222d6b2a, 0x8bbc4681, 0xc2a78817, 0xa3ff9adf,
+    0x18d7fe4f, 0x96cfe1a6, 0x9f539085, 0x210e9c7f, 0x33cc112c, 0xe1eb4f36, 0x51b267c1, 0xcb241cb6,
+    0x584248de, 0x90ffa959, 0xcfa9391d, 0x59385a43, 0xb8e997a6, 0xcacdc4ce, 0x46468ab1, 0x8a49ba13,
+    0x9810b5c8, 0x1a491316, 0x9b320a4e, 0x72be8254, 0x4ab7a435, 0xaab21275, 0x1b418705, 0xab3b2328,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000316912650057057350374175801344 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80d, 0xb6a04804,
+    0x00000000,
+    0xbe51e96d, 0xea7e14ab, 0x1bda3de2, 0xc150625f, 0x440f54e0, 0x71224f9e, 0x679c455b, 0xb6d7551b,
+    0x251f5a4c, 0xd5f084b4, 0x76e3f882, 0x3460d58a, 0xa5c52c8c, 0x84cfda5d, 0x99851bbc, 0x16231e14,
+    0xc815147c, 0x2ed09f31, 0xb5d5b0e3, 0xddb53799, 0x3790d7ce, 0x367760d2, 0x71e11e0e, 0xf2fc2d8a,
+    0xef908186, 0x29b2d702, 0x90747368, 0x17e45d02, 0xc5d7b467, 0x58d68984, 0x0e45828a, 0xb4c7636d,
+    0x6c30ee11, 0xf18632d9, 0xa43ecc7e, 0x45509838, 0x5b51a46f, 0x6cb30591, 0x11d0ef62, 0x98f4e676,
+    0x9a4fc2ed, 0x716fa9c1, 0xcb079577, 0x9a1ed39e, 0x02d1f4b0, 0xcc0be5ec, 0x43ceba28, 0xdaaef4bd,
+    0xc8ae2d82, 0x0c8b4383, 0x232f218e, 0x439906bc, 0x2846d7ac, 0x5eed63b1, 0x442ea695, 0xd65f3428,
+    0x6820cbc1, 0x79418e15, 0xe9ed446c, 0xd350ad77, 0xec2035dd, 0x82a4c267, 0xe482fa86, 0x44197324,
+    0xdbe18b5a, 0x61c1bb91, 0xb83e3325, 0x23376b8f, 0xe6c70b97, 0x4ffea6ff, 0xede6a093, 0x1ebaa914,
+    0xbf71b5e4, 0xb985271e, 0xbcfdd680, 0xb725703b, 0xd4ed70da, 0x7a69b236, 0x624c52cc, 0x68ff0580,
+    0x178caa3d, 0xd2d0ca6a, 0xd5ba5378, 0x7d8d099d, 0x6f5d9c77, 0x209fdc6a, 0xf191e9d5, 0xb1845680,
+    0x2beb174e, 0x114cb90c, 0xb7941f4d, 0xad583cfb, 0x075ef403, 0xf2bd8711, 0x9f5e1598, 0x45e84446,
+    0x30c93494, 0x43964738, 0x57545d49, 0xe06442d7, 0xde2a63fe, 0x86195269, 0x9d952231, 0x698e8cff,
+    0x6945014e, 0xf9d666c8, 0xfa02fe27, 0xe47fd280, 0x8bf135bc, 0x1e1e2a89, 0xaad365d0, 0x36583ea5,
+    0xe44144e2, 0x9866ded9, 0x36d82722, 0x53645690, 0xd9f7e6f9, 0x16a40204, 0x5dc5e361, 0xdc28d202,
+    0x4183f654, 0x2242299d, 0x0afaf25a, 0xc520d58e, 0x1d758538, 0x462be1b5, 0xd1516572, 0xe77b983d,
+    0x38ca69b2, 0x33766e53, 0x4508707e, 0x49757bbd, 0x1bf0ad86, 0x2ec16428, 0xc73578ec, 0xa654fc6d,
+    0xb9bbade7, 0x3c5186d4, 0x0b48ac1f, 0x1a88e103, 0x89b00e1c, 0x44570f4a, 0x69c13876, 0x7cf755ed,
+    0x670b0b1b, 0x23b9e71d, 0xb48fa72d, 0x97289d3c, 0xe8fd401b, 0x4814e0ca, 0xf7cf7471, 0xb8344105,
+    0x67190827, 0xe29f2d93, 0xab2e1ee9, 0xb6034302, 0xf24d5edf, 0x05493c6c, 0x4e721432, 0x575ce0e7,
+    0x0897873b, 0x3278b05f, 0x7b28c529, 0x9488982e, 0x1d4eb397, 0xa70d7e52, 0x9d011430, 0x10d3ff80,
+    0xdd935f11, 0xe3e87f33, 0x98d386f9, 0x23149db1, 0xddbd8d77, 0x13ae9cad, 0x7f13114a, 0xeeca7ee5,
+    0xf3333645, 0x94e8a6f3, 0xd96a57ca, 0xa3ed29ef, 0x9d66dce7, 0xb3767dc2, 0xe3450059, 0xf19838a7,
+    0xce45f03a, 0x0b49b53f, 0xf459f7bf, 0x736fcf94, 0x0941b259, 0x45dd0583, 0x3a46b089, 0xe8f9a0fe,
+    0x1772d45e, 0xa1c0caec, 0xae8a5574, 0x99fb3fd4, 0x175850d3, 0x6e84831c, 0x58856b0b, 0xb5572663,
+    0xe19f5f82, 0x9f99b038, 0x61c64f10, 0x748dd359, 0xd298b4f6, 0x1d121d46, 0xa3458137, 0xe3b5bc8b,
+    0x5c821954, 0xd7dd1f34, 0xbfef4b5f, 0x79ad142b, 0x3dd9d946, 0x875e26f1, 0xa790fab5, 0x7e5f3527,
+    0x3a8590d5, 0xa764b912, 0x9c8eef54, 0xfeb0f5f4, 0xb7a3c7f6, 0x8f09db49, 0x45355bbd, 0x050b0273,
+    0x2c1c611a, 0xa66a165d, 0x94a4b73e, 0x2697f2a6, 0x7a5f8445, 0x8128998b, 0xc608c275, 0x775d21f5,
+    0xb6ec490f, 0x4f01ba33, 0x469ef4bb, 0xb86cf726, 0x9ba2bfba, 0xc7cb58bf, 0x3ce6df84, 0xf0e56083,
+    0x5eee53e1, 0x246943ed, 0x82829c2d, 0x1163137a, 0x65e77fde, 0x960c5f00, 0x5cc2951a, 0x74b94cf1,
+    0x977e2489, 0xe16e3fbd, 0x6977958f, 0xdfecfb59, 0xf32e4bb6, 0x723a5f61, 0x08416e6d, 0xdf27757f,
+    0x361ac0ae, 0x16bb3088, 0x79f46b5f, 0xb3b0e5dd, 0x5c09310c, 0x780e12a4, 0x87306176, 0xb473a47a,
+    0x78a3f42e, 0xcffb7cf3, 0xe597ff2a, 0x1e298e0e, 0x879b69df, 0xb6b76d66, 0x859b5869, 0xbac103b9,
+    0xb7d79e46, 0x015db820, 0x6ed6f751, 0xdb062256, 0xf5e19549, 0x47115f13, 0x60f0eaf9, 0x5093ad54,
+    0x2d784e14, 0xd1934b7a, 0xd34e1c27, 0x9621b149, 0x4624d364, 0x97cda786, 0xd2d0159c, 0x60267275,
+    0xd3438c49, 0xf14c361f, 0x96bbe1a0, 0xb20f9910, 0xea3aae3a, 0xee870df4, 0x0a597e25, 0xf7018412,
+    0x5658de61, 0x99eb567a, 0x50fd9796, 0x881b13b2, 0x498ee919, 0xd61eb2a5, 0x51e11987, 0x575b93dd,
+    0x0c5809f0, 0xb91e5e6b, 0xf9f72c02, 0x1b4b7f54, 0x2b85c9dd, 0x5090a335, 0xc0b4901e, 0x1a68815a,
+    0x998d38e2, 0x93d862a0, 0xa881d55e, 0xec60efa3, 0xf26667ee, 0x4f595dc2, 0x73f45de2, 0x878ea034,
+    0xe5303663, 0x50cebccc, 0x78203005, 0x46dff337, 0xeec07d28, 0x7798db17, 0xc8ca7ac6, 0x7286a13b,
+    0x043288f7, 0xe2187786, 0x4177cc37, 0xf40bb5a9, 0xbf6f0eb8, 0x49163536, 0x8c067c61, 0x5d56931c,
+    0x1398500b, 0xa5581e13, 0x9babda21, 0x02658e98, 0x92bb0206, 0xcaf25855, 0xf48fb51f, 0x4bbaea24,
+    0xcf97214c, 0x17654adf, 0x20cb33b3, 0x3bcf4f2e, 0xf33c8f38, 0x75816c4e, 0xa9c58963, 0xfa04c671,
+    0x938bca0c, 0xd7e03002, 0x41915fd1, 0xbeecb44a, 0x70b170c1, 0x808f78f6, 0x35e626f7, 0xaac8b786,
+    0xd9f94d99, 0xbb731b6f, 0xd49f1179, 0xa7c5189d, 0x92160e4f, 0xd197bf98, 0x68ab4c36, 0x5761ce97,
+    0x87618c76, 0x43c91741, 0xfa6558ae, 0xa733ce8f, 0x40521066, 0xfb457520, 0x984e7c7a, 0xaa40d5b1,
+    0x2bf3b462, 0xeb7fb730, 0x9a49e7ee, 0x5c386480, 0xc93f218a, 0x1bffdc33, 0xf599c497, 0x156fdf7a,
+    0xdc176f94, 0x5366b81c, 0xdf06233a, 0x91b67642, 0xf792c6d1, 0x5f9ebc0b, 0x0fe3cf3e, 0x7cf6327a,
+    0x9e92f392, 0xc0bac37e, 0x33553ef6, 0x46034853, 0x8b63cc3e, 0x93f0705b, 0x28db1c4f, 0x65086584,
+    0xb4441e80, 0xa90a2d80, 0xd30ffafb, 0xa4badf7a, 0x2abbfcd7, 0x4b44f485, 0x50ad79ce, 0x11cdaeb4,
+    0x284be0d7, 0x705bd058, 0xa08da5d7, 0x895fd6f8, 0xb1b80b18, 0x8e0e99ca, 0x18d91003, 0x64c194ff,
+    0xf9770ccb, 0xc0a809e4, 0xde11b2b4, 0x93ee6640, 0xc78f46e2, 0xc861da32, 0x7160187a, 0x70f86fc7,
+    0xcd89cd42, 0x9e75a2a5, 0x9375efb9, 0xddf57a3d, 0x3b7c3355, 0xe6462145, 0x17047245, 0x0633f416,
+    0xa841113f, 0x3fcc5817, 0x27e09080, 0x4d37dd4e, 0x64fa5f67, 0x5c93df4d, 0xd8caf6a0, 0x75510fa7,
+    0xdc16f464, 0x127a1b07, 0x90068bb4, 0x7b26b2ee, 0x694912af, 0x9cf214ff, 0xc3eb1972, 0x21883bb2,
+    0x37901f18, 0x09cbf23c, 0xbc3061e9, 0xf011fe38, 0x106b5d40, 0x474dda9b, 0x48ca82e1, 0x3cd9b449,
+    0xefcd41ef, 0xf9c609b7, 0x78d778a2, 0x71b2df0b, 0x3de975c1, 0xdb82d41c, 0xfbf6baa8, 0xd70e62c0,
+    0x12678135, 0xf774bd4d, 0xe36e70da, 0x746b9027, 0xf915eed9, 0x133a8470, 0xbf23a336, 0xbcb98baf,
+    0xe69a0d03, 0xd70a32bb, 0x018358c6, 0x83bf0490, 0x69bbf697, 0xd6cb3619, 0x34919ea5, 0x04757e75,
+    0x590c0d82, 0x532e6a8d, 0x45f67262, 0x8a097202, 0x715abd80, 0x0b122004, 0x4cff33d4, 0x56db933c,
+    0x4a0b43c2, 0xbacfcd34, 0xfca02bce, 0x4d221cd1, 0x30c67f63, 0x4a689d1e, 0x4f46f6fe, 0x8753d627,
+    0xa90febb9, 0x36aaed78, 0xae75e2b2, 0xbcbc34e8, 0x836db0b4, 0xa470c8ac, 0x3d1b147f, 0x38190831,
+    0x61b176ea, 0xde2b4d2e, 0xa21c2602, 0xd7e49a13, 0xd164d355, 0x03ee76f8, 0xa04d560c, 0x4994357f,
+    0x4bbbbd0f, 0xb008cbd3, 0x60b24819, 0x86bdc8e0, 0xec7666ed, 0xa9be857e, 0x643f1d35, 0x34eb72ef,
+    0x4841b2b8, 0xb4a55d61, 0x797b521b, 0x3bb40ee0, 0xe0e9b2a4, 0xaac2275e, 0x48757ea2, 0xdedb7fb1,
+    0x917f3183, 0xaf8f3ced, 0x27875b4c, 0xa1d56f90, 0x39e80649, 0x1793da9e, 0x30fa4b9d, 0xfa7f0b29,
+    0x63a66b98, 0xe81a417a, 0x15bfd9ef, 0x2e14a5c6, 0x6a28b4b3, 0x9fa2f794, 0xa0f969eb, 0x11776e91,
+    0xfe4b8b5e, 0xa8f172c1, 0x3ce74587, 0x0b6f044c, 0x8df9eb3f, 0x3183ac36, 0xc91c33bc, 0x2da5f36e,
+    0x66bd1f77, 0xfd7e3158, 0xf93c31d1, 0xc5488947, 0xfc1eba58, 0x1fd10a53, 0x07c72abb, 0x96fe36db,
+    0x05a1fdfc, 0x843d1c54, 0x18f468e7, 0x0fd46763, 0xbb86e229, 0xfac6a1e7, 0xb9cd88cc, 0x5f2681b8,
+    0x06db5d7a, 0xfed51372, 0x157f0f46, 0x30fa7e49, 0x4a245e5f, 0xeafee4ef, 0xc5edae7c, 0x32cb6dd2,
+    0x18d0296e, 0x2eea1644, 0xf8914ffc, 0xfc9b7eaa, 0xa2c0cf6f, 0xa1ace765, 0x60408b33, 0x899d52f9,
+    0xd1ad0b39, 0xd47faaca, 0x441e1862, 0x2f27c76f, 0x00526cc7, 0x8ed293c6, 0x6d1ac914, 0x732ee952,
+    0xe2891599, 0x10951c6b, 0x036e1666, 0xcd806230, 0x2146606e, 0x9eb13ddb, 0xb06e6659, 0xf2eae09e,
+    0xf64461d4, 0x365d2d38, 0xfc6a7dfc, 0xb7b6855f, 0x556132ee, 0x4555bdaf, 0xcb992a08, 0xc36b3401,
+    0xfdf57972, 0x5cb3567e, 0x89d94634, 0xe4bd4be8, 0x466adf2e, 0xd7b3cb70, 0x151a64a8, 0x6c5b5b9e,
+    0x44d3c12b, 0x3580be5e, 0x66bd18b5, 0xb53992ce, 0x3bc1f9de, 0xa602ed48, 0x4fb7c39a, 0x47fbbc14,
+    0x2215d6ac, 0x62ee269c, 0x57d5c1a0, 0x2a2d2274, 0x158070e4, 0xef6c9667, 0x6e9bb761, 0x20f0d96f,
+    0x1401cc31, 0x6c281b01, 0xc0618483, 0xeb27d5ef, 0x97cdefeb, 0x7ebd510c, 0xd9cdc4c3, 0x7313d108,
+    0x4d3f7702, 0xb6d8e732, 0xabc70436, 0x43625738, 0x68cbef85, 0x8530bb9b, 0xbde0add5, 0x7e8456c3,
+    0xedff986c, 0xf7916859, 0x803039e0, 0xc815644f, 0xe6a8203c, 0x8f72d915, 0x6834ef55, 0x4426a6c4,
+    0x8466a14c, 0x75c25639, 0xfc4cba95, 0xe0777778, 0x20738df8, 0x4603040f, 0xd6ddd3f0, 0x3d9e5747,
+    0xb3dd5bb0, 0x9c8e9167, 0x7641b79b, 0xccd74335, 0xb605014b, 0x66ac0a78, 0x04a06284, 0xfc91a539,
+    0xd6481cb2, 0x7002e201, 0xa64ce2b1, 0x485785e5, 0x4ddbc1c1, 0x79e1e5f4, 0x0794e269, 0x5bd2fe68,
+    0x38760b36, 0x9756ddb7, 0xb44d57eb, 0xcd235fe1, 0x6a3d04df, 0x9492e2fe, 0xf5308ba7, 0xaaa0eabc,
+    0x90bf5e34, 0x59fea7f8, 0xa0adfed5, 0x599b9929, 0x28fdf854, 0xeb37e6eb, 0x2053c030, 0x3627b4e4,
+    0xfb677b8c, 0x9778a26b, 0x58d64c81, 0x2cb8f840, 0xfad02e45, 0xe75e7113, 0x1857c733, 0x9f1bf192,
+    0xde8140ae, 0xa9da3d59, 0x12a371e5, 0xbd15e2a3, 0x27a34012, 0x7ad3628c, 0x3de648b7, 0xe3ba8c2d,
+    0x15579cc8, 0xd66e66c5, 0x65f414cc, 0x2fe8dac3, 0x4fb69431, 0xa17cbded, 0x4ed97e1e, 0x53a1d977,
+    0x888a4f74, 0x855cf429, 0x119cee3e, 0xf379ea15, 0xcb85c7a2, 0xd7693d4d, 0x77bcd0dc, 0xbf530599,
+    0x61f18a02, 0x6f163833, 0x4f139381, 0x8c961013, 0x35e1a3c8, 0x88e759fd, 0x2493e27e, 0x9d897669,
+    0xdc70cc4b, 0x6b51afff, 0x1b048bfe, 0x4d84c216, 0x62ea3db7, 0x5dd6d942, 0x7c7f9cbc, 0xa66fac39,
+    0x285a554e, 0xf30e3bf0, 0x1478c6e8, 0x86af3b4a, 0x242bcda5, 0x841a8530, 0x8b8c5879, 0x602c8243,
+    0x3aa5c9df, 0xb5eece93, 0xf9b3520f, 0x1bf91ac1, 0x15487947, 0xa62ccd4e, 0x2a21b013, 0xecff1966,
+    0xfad473d3, 0x42964474, 0x879bbbea, 0x12234f3f, 0x3977edfb, 0xbbfd706c, 0xf02ef7a6, 0x38e30c97,
+    0xfa0328f7, 0x9c8164e7, 0x053b727f, 0xfb299151, 0x983b8de8, 0xd2597762, 0x2781a555, 0x2835a1a7,
+    0x11694479, 0x0ffd5d35, 0xaf12c82a, 0x2525e741, 0xede8bed4, 0xfdff6095, 0xcc159dd6, 0x419b0842,
+    0x1ea383b2, 0x15ada806, 0x3efc5413, 0x7e24ce1b, 0xec7b981b, 0x991376a8, 0xf8148ed4, 0x927bd53e,
+    0x0e5d5966, 0xfef9f029, 0x7b6f1477, 0x17fb58be, 0x2489ec35, 0x5daf2e4c, 0x8050d264, 0x065d5c51,
+    0x6de3a6d1, 0x8bc17bb7, 0x89a683b3, 0xb27b72b1, 0xb08ba44e, 0x3cd0f9c4, 0x8c432976, 0xf5c6a7a3,
+    0x82647d89, 0x5d91d6e7, 0x0299c21a, 0x020a7950, 0x502ec8e5, 0x060e8bac, 0xcbbb61a6, 0xe0104d04,
+    0x4c258fed, 0x87b0a05e, 0x2b70bae3, 0x92001401, 0x3550b156, 0xec9685dd, 0xe8248a2d, 0xe6710b32,
+    0x25097f3a, 0x891aae99, 0x9f0f603d, 0xdcce6019, 0x7ccdf40f, 0x10ae7cd4, 0x319522d7, 0x99614d91,
+    0x974d7cd6, 0x0b5d1865, 0x193c3f5e, 0x38b37547, 0x7410a78a, 0x107a57e6, 0xdccc9af1, 0x8c232353,
+    0x5446aae2, 0x3525eb60, 0xc9d14bce, 0x35a6c187, 0x6cbd4b90, 0x22fbb7bb, 0x3757f228, 0x5892f109,
+    0xf62c4c7f, 0x5be3a2d8, 0x78f636c3, 0xe6b1a985, 0xd2f9d944, 0xc4f5e52a, 0xefa8e2f6, 0xdd862597,
+    0x8011ab04, 0x2fa70c27, 0xe3b86e4b, 0x45fb2e3f, 0x9140f4c6, 0xa1b31290, 0x12dc9b3c, 0x66ef275d,
+    0x9113d1fa, 0xacadafec, 0x9f4ebad0, 0x210939a6, 0xc5de9c26, 0x2f7edb12, 0xc5eb4120, 0xd60e2216,
+    0x0d57a082, 0xc33bf2cf, 0x048e210c, 0x0762a0e3, 0xc313e2a4, 0xae2204af, 0xb6162119, 0x9fc11b4a,
+    0xdb08df9b, 0xd8a54f2d, 0x829f88f5, 0xb0c7c313, 0x83c64dbb, 0x453dcf08, 0x11836ba9, 0x60cb7fb1,
+    0x49081533, 0x6ea73910, 0x84a112fc, 0x06b18d09, 0x73fe6ea8, 0xa49676f4, 0x6733c933, 0xcec505b9,
+    0x7d874851, 0xa449bd7e, 0xffe4fa70, 0x0e0aa4d8, 0x20830a0e, 0x4e97388b, 0xf147a864, 0x43f2c997,
+    0x766b7b76, 0x56193c8f, 0xb582c8a0, 0x25dbd723, 0x1503880e, 0x1a12a4ea, 0x646da184, 0xbc161752,
+    0xef4eba1b, 0x8795b3bd, 0x3a325361, 0x69cf41b3, 0x60a572ed, 0xe39a4129, 0x6dd19d87, 0x5b7c2292,
+    0x77509f12, 0x3dd8637a, 0xbb8147e0, 0x034fcd7d, 0xd9466cf1, 0xba4feb2e, 0xed20e33b, 0x9ba28281,
+    0xe097113f, 0xadbd2dc7, 0x089062a4, 0x4a7e7378, 0x28343404, 0xb0467f1f, 0xf8f1c734, 0xc7727b6a,
+    0xef9032e6, 0x99eadb0e, 0xb240ce9b, 0xa575a1fe, 0x7d4a5398, 0x3e3a3b56, 0xddc4d03b, 0x3294ce62,
+    0x7866eda6, 0xf03451c7, 0xeddceb5b, 0xef1eec02, 0x75c8ef44, 0xb2ae6225, 0x863c50f0, 0xe408773f,
+    0x31e6564c, 0x77acf8d3, 0xda33485f, 0x64ff2a78, 0xd84e745a, 0x8e39c142, 0xe72c448a, 0x86c3bd80,
+    0xe7211cff, 0xf64aab7f, 0x5dd3b3ee, 0x682d46c6, 0xab3e7c54, 0x4b6763e5, 0x61742956, 0x6c6cd979,
+    0xefd677d8, 0x09c97cb6, 0xc0bc9782, 0x7cf44d4e, 0x088893f0, 0x9cf99dcc, 0x95586f9b, 0xfac7feee,
+    0xad0db913, 0xaed11e8a, 0x0593bc97, 0xba4c4a99, 0x83d88566, 0x4fca4928, 0xd6db849c, 0x1a2aaf6c,
+    0xb057e85f, 0x98aed359, 0xaa478289, 0x2a5e20e2, 0xab46c31b, 0x1fbb6ba1, 0x5e558e3a, 0xc53fdaf3,
+    0xf9d7ebe9, 0xae224876, 0xe128a220, 0x2b5a60fe, 0x2930f878, 0x618a80d6, 0xa4e516bf, 0x00bd867f,
+    0x118ef53b, 0xe61bb0fa, 0xb80bdd3d, 0xb6e33dcd, 0xa4284191, 0xb0755bc8, 0xb99ccad9, 0x12c1626b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000158456325028528675187087900672 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d406, 0xdb502401,
+    0x00000000,
+    0xdcbafbd7, 0xd911449c, 0xa3472767, 0x8cd54a2e, 0xf0c488de, 0x9d655b4f, 0x7d8faec0, 0xf6d4d8c9,
+    0xbf7eec26, 0x2e85207f, 0x2711440e, 0x3e0b790d, 0x872d72c4, 0x9e1cb55f, 0xac438353, 0x3f2d038b,
+    0x3a820539, 0x1850b737, 0xee0127e3, 0x47f36d7d, 0xdb5e584f, 0x58799734, 0x7432c079, 0xf2548954,
+    0x9eced6c2, 0x24c03e49, 0x92e55c00, 0xcff1621c, 0x903fa4dc, 0xb74af12c, 0x2b355331, 0x567b316d,
+    0x00ecf759, 0xece5fcf5, 0xdd60c644, 0xf89806c4, 0x2e402cb0, 0xef823a60, 0x03c46166, 0x8c7dca12,
+    0xad71c43c, 0xffdc1863, 0x25ae4d72, 0xe5c25245, 0x62782143, 0xde17e733, 0x1a1b56f2, 0xe157237a,
+    0x2daf3a46, 0x7adfa469, 0x4f5b0b9f, 0xfad46665, 0xade5b65d, 0x143e7f3d, 0x156cf330, 0x65bda0de,
+    0x65696a43, 0x90a54e7c, 0xdf8f101c, 0x22380d0f, 0x5770c5db, 0xea2d4801, 0x76aedfe6, 0x1549b9e1,
+    0xb80ed669, 0xc98b579c, 0x62a976d6, 0x230032ab, 0x268fb7bc, 0x3eda6898, 0x40d31788, 0xf3c16053,
+    0x0045dcf7, 0xc0af9501, 0x928e81b6, 0x9b9b1357, 0xb5b8499d, 0xea9c8897, 0xef4a8871, 0x17ca57eb,
+    0xe50a9b23, 0x00c9f5ff, 0x567c6075, 0x936cdbbb, 0x69e6b529, 0x62921e75, 0xfdb812bc, 0x574bfc07,
+    0x855d7766, 0xf6433839, 0x3dbe8a1e, 0xe00bfd6f, 0xdd12f96b, 0x68332a23, 0x24cbeaa0, 0x0f502dcb,
+    0xe6cdbf33, 0xca39ec3d, 0x843bf6f0, 0x6c7904c6, 0xeb2008a7, 0x04ec5e31, 0x3a22ce2a, 0x893fd77c,
+    0xfee8739e, 0xac283f67, 0xcdcc7552, 0x28e1eaca, 0xbee81cd4, 0x6ab242fe, 0xd476e9dc, 0xfd8bbf01,
+    0x5492c2a1, 0xf6e6c891, 0xe1b0f41b, 0x81aed84e, 0x2829b5e5, 0x3ccf5ec6, 0x56d9f63a, 0x9a830b35,
+    0x1a17a864, 0xde9d9dca, 0xdcd6172c, 0xb804e11a, 0x28db6e90, 0x84646e54, 0xc45fcd71, 0xdf4d8dc9,
+    0xca8adb2e, 0xe8e1da82, 0xf6940ac2, 0x4d0a4593, 0x85dcbb3c, 0xebb45258, 0x5c570999, 0x5851647c,
+    0xfda95bbb, 0x31e39421, 0x90dd2419, 0x69caf087, 0xb9ea16ea, 0xa63fdb4d, 0x4a8ba2b2, 0xfb1a20f2,
+    0xc05ef085, 0xf88b4067, 0xac0e2f89, 0x918e5a34, 0x0bd9a083, 0xb79cc43c, 0xebab393c, 0x0ca818d1,
+    0x9b6361ff, 0x18d95b50, 0x44910097, 0xc68447b1, 0xc9abae83, 0x430ca3c7, 0x95988930, 0xbd5c55a2,
+    0x60db59a1, 0x679d81cb, 0xe0eead89, 0xefca2895, 0x52546d7a, 0x2a9957ec, 0xbeb1fe03, 0x82757308,
+    0x915c8ef8, 0x57652e06, 0xa29f5c9a, 0xcfc9772d, 0x4460b069, 0xa9b3647e, 0x816bd14a, 0xdb37b159,
+    0x8f2df7fa, 0x28027ff3, 0xc0fa5acc, 0x8fbf1932, 0xdebb879e, 0x9bfd4fb7, 0x50cd483d, 0xcdf5404a,
+    0x3fee66cc, 0x70ec49a6, 0xdedfce4b, 0xbfd72341, 0x14e632bf, 0xc4d1e50e, 0x0d947bf4, 0x3a09b16b,
+    0x61fc8d92, 0x0d05ea1b, 0x0b8e22df, 0x349d372d, 0x16591d92, 0x7f103de1, 0xdad14758, 0x4644ae8e,
+    0x6c098d04, 0xe2740666, 0xc0d6c18d, 0x06af3cb6, 0x19f57f25, 0xd1adf573, 0x41c0db6c, 0xea3e9e4b,
+    0x5fca1657, 0xb98da6af, 0xcf6df558, 0xd2c3a3f0, 0xfab83cea, 0x03864344, 0x854f0653, 0x7148deed,
+    0x3de9174c, 0xbdede473, 0xac065452, 0x59c45457, 0x630ed440, 0xc1ae0538, 0x1b49fa8d, 0xd872ce3f,
+    0x1e686e13, 0x2e71577f, 0xa49ea09d, 0x517d1084, 0xb3c75269, 0xafcdee1e, 0x6df1b646, 0xf577fc4c,
+    0x87190bd6, 0x6d2a0f59, 0x7c1b8d72, 0x24dcfd91, 0xa90ad6c3, 0xb98ce683, 0xe8386281, 0xe689e274,
+    0xc9ef089f, 0x1f9cb5fe, 0xd10b7d1a, 0x746165ef, 0x3be26fff, 0x0255e625, 0x6ba5d1ce, 0x98abe78b,
+    0xfef0fe76, 0x1d310a91, 0x9916fd01, 0x140deb0d, 0xb611fe3e, 0x5c2a2896, 0xefb51a44, 0x05f9fe90,
+    0x66eac3f9, 0x5a48cd71, 0x8f361166, 0x9fc450ba, 0x7884a3d5, 0x6c288506, 0x38d495e7, 0x07670b32,
+    0x33fc33c9, 0x3f872e6d, 0xa6b2e57f, 0x82e28578, 0xd244fda3, 0xf51a6335, 0xf2b922ea, 0xca6f656b,
+    0xedb71c17, 0x82423c72, 0x807f9c63, 0xb55b2ccc, 0x4b31a23b, 0x63c843ad, 0x7c387e25, 0x0fbdc395,
+    0xa427688a, 0x392a3ff0, 0xa8bd656e, 0xdc881cad, 0x73eb5ce3, 0x76e96818, 0x19690e3c, 0x972794b9,
+    0x7a4b7d93, 0x0ba7f10a, 0x0891cc7b, 0xdd82117a, 0x532e825a, 0xe156735f, 0xac3b3f16, 0x3ca34a22,
+    0xe0321c75, 0xdc20867a, 0xd9d2c499, 0x5a2e2ed0, 0x72ecd78b, 0xa244b924, 0x43ec30db, 0x9c3a6d1e,
+    0x1a9a3aa0, 0xe3091061, 0xc32e1522, 0x2a958732, 0x7eff5455, 0xb802b4fa, 0xc7bdb28e, 0x1a08a8c7,
+    0x712bf57b, 0x3241c7bd, 0x33af3131, 0x771c9cd3, 0xeeb5d53f, 0xb057a7ad, 0x5e0385ad, 0xca9c87cc,
+    0xd4ff7853, 0x8d7e359d, 0x0a4bf0e3, 0xbc3d2970, 0xd0c88dd7, 0x7e6436d7, 0xc24de77d, 0x71974361,
+    0xba27dcc4, 0x9c4be738, 0x25b63786, 0x6edb9234, 0xf3c46c2e, 0x2276956f, 0xf169b6da, 0xbe6d16d3,
+    0xbc527d31, 0x0f272c3d, 0xcbdeb49b, 0x7da00e3f, 0xc42afd8d, 0xce2c0aae, 0x2343ebf8, 0x5367c33d,
+    0x29848d8d, 0x61a25725, 0x126fb805, 0x443d482b, 0x75b85d90, 0xb3effb60, 0xf2afc7ba, 0x25c4de33,
+    0xcc787e03, 0xcfd784ba, 0xd7033a8d, 0x850800ea, 0xcc15e743, 0x16351a0f, 0x780814dd, 0x44cc56f3,
+    0x00b5cbf7, 0xafdad5b1, 0x04e52e56, 0x183717f5, 0x106f84d6, 0x189abb16, 0xd279cceb, 0xdfba78d5,
+    0xe57e6176, 0x194608d3, 0xfc8ea52c, 0x09a59877, 0xd38466e5, 0x77d8499a, 0xf8e6cda0, 0x9127f01f,
+    0x4ca6ec65, 0xfb96bd56, 0xd11b42e4, 0x268a2c45, 0xa4fe67ec, 0xde1b42e3, 0x33187fa2, 0xcfe6207a,
+    0xdc413660, 0xe7050fac, 0xc7738aad, 0xcc5e8589, 0x8b39cd36, 0xc72a74ed, 0xeb083aa4, 0x083201a3,
+    0x5747fa37, 0x4dc4d2ae, 0xf6bddf6d, 0x5fb53658, 0xc8a728f6, 0x74402faf, 0x92d4aa56, 0x3327492f,
+    0xd4040474, 0x2aed151e, 0x52d6d75c, 0x918ae036, 0x6391ebc4, 0xc691ccf1, 0xea225172, 0x3ff379f3,
+    0x456e3066, 0x56c960c6, 0x22e9c451, 0xb42231a5, 0x2d470e82, 0x5b70f069, 0xf0cf071e, 0x7725a71f,
+    0x4cceb294, 0x454d124f, 0x0773ef31, 0x0543301d, 0x54c2d9cc, 0x4d58e7af, 0x2b64a56f, 0x0d406ee6,
+    0x50c862bc, 0x48f26199, 0xdbe18c8d, 0xe97bd6e6, 0xf88fcfdd, 0xf1d9dfe0, 0x0cc30af4, 0xe72ee919,
+    0xde9ac760, 0xb195b5bb, 0xb43bdf45, 0x5d2e17e0, 0x2dfa1509, 0x9606b4fe, 0x2a353ea2, 0xad1399e2,
+    0x62d3c8bf, 0xb0d25c09, 0x5832c3f9, 0xd1cfe6d1, 0x978a9f35, 0x889dab8b, 0xa7a85f94, 0xf9ec3ed7,
+    0x2cad5250, 0xf43503fe, 0x8f7c9285, 0x1b48ad8d, 0x1d8bd231, 0x19caf643, 0x19a514ba, 0x1f00b006,
+    0x14869b8a, 0x7490c065, 0x0ad64c39, 0x0a3218e4, 0x9005486a, 0xe38f62e0, 0xf3d3d0b5, 0x30f452d1,
+    0xa2dca6ae, 0x9d225882, 0x81986cfd, 0xe25f0855, 0xe99e31af, 0x0e0de8eb, 0xbac4a8a8, 0x8ac7d356,
+    0xbbd01b0e, 0xf1110d15, 0xdbb621d8, 0xcf1dc198, 0x855a7ae2, 0x354d29f6, 0xc070e7fd, 0xe3672450,
+    0x53738472, 0x3ede8914, 0x886595e0, 0x21b42e8a, 0xb2160ac1, 0x6faaeb9b, 0xba8cadb7, 0x6ed3283f,
+    0x538ce0af, 0x0852c1a2, 0xb4875a22, 0x2c88d10f, 0xaa2bafb1, 0x26210df2, 0x5792ef21, 0x3571fbf3,
+    0x3b901add, 0x8b421e0e, 0x85cf3b38, 0xa9de052d, 0xa510063a, 0x7713380a, 0x73e072ea, 0xd1bc0dbd,
+    0x191db76e, 0xedf31af7, 0xdb2c6c2e, 0x647b0008, 0xa0eeec46, 0xc228f8ae, 0x7709d397, 0x44734ce7,
+    0x302e5a4d, 0xaaa0ba9c, 0x10c0e113, 0xc8a1198b, 0x42d8d310, 0xe602259c, 0xbb40c07d, 0x77e7f4a0,
+    0x0d461bb8, 0x694d38eb, 0x395f18ce, 0x97c4276c, 0xe2dd4467, 0xf7ac732a, 0x9596ca0f, 0xc3c5880a,
+    0x9789fba8, 0xc1f8b607, 0x75dcecef, 0xe03045b7, 0xf400b334, 0x5227112b, 0xbf2d4879, 0xd50ed481,
+    0x76d9a940, 0x6a202c06, 0x8d90767a, 0x69abd93a, 0xd6b15358, 0xd4af7dad, 0x7675a077, 0x37d11344,
+    0x3cee09c4, 0x3555a3ed, 0x46cf5264, 0x1f5c6850, 0x111aa183, 0xd0a2b047, 0xc0501c17, 0xfef4194c,
+    0x91b3338a, 0x4108efcf, 0x390114e6, 0xf1625387, 0xe6ce0235, 0x6204b8b8, 0x3d89c134, 0x0226cb7b,
+    0xfd591f25, 0x3829a59d, 0xcbc7c50b, 0xeb46759e, 0x605a864a, 0xd4734c8c, 0xc2df516c, 0xb34eacf7,
+    0x5c7b8ebd, 0x01a7daf2, 0x4714714f, 0x4f3479fb, 0xa0e8aaf2, 0xa3e507a6, 0x78be1f83, 0x9ab0bb2b,
+    0xd847b031, 0x26aa8b03, 0x36b2a7cf, 0xf50f249c, 0xb22801ec, 0xfd03e2b4, 0xea8f6df6, 0xa2d221e2,
+    0xb9d25e09, 0x3aab4ed1, 0x5a47ee60, 0xa0b1c85c, 0xaa1bd8d6, 0x68e467bd, 0x0e53cc77, 0x28a0bb84,
+    0x20ee1bf2, 0x2f9b09c1, 0x4fede24e, 0x62f4cb3a, 0x2b5adca7, 0x3c6482d7, 0xbf3ce7f4, 0xa9b18a0b,
+    0x0313ce23, 0xb58e428d, 0x9fd5e90d, 0x1d07b873, 0xf75a53e7, 0x9341f535, 0x9d2bb4b3, 0x1082d5fc,
+    0x13656a50, 0x34bade10, 0x7c0a9d67, 0x4f2d1cbc, 0x4559a7c8, 0xec1b25dd, 0x38da3772, 0x193f10d5,
+    0xdfd43674, 0xd64ddc05, 0x69d20cd2, 0xf0a0e1d3, 0x7eccf5b8, 0x58a20f82, 0x6027288b, 0x270dc118,
+    0x1ce77b72, 0x9a7b81b5, 0xa12533ce, 0x4d438c6a, 0x012c6174, 0x49933aa5, 0x7dd4d679, 0x324bc048,
+    0x39739df2, 0x17264161, 0x6d341225, 0xd2bced45, 0xfc20ee9e, 0xc61b5dcc, 0xb35db943, 0x0d264d0e,
+    0x8fcdfe31, 0x84d01d94, 0xb77ae498, 0x7b024d2f, 0x5d309635, 0xefccce76, 0xad105d52, 0x1c5c396e,
+    0x2aa0aa75, 0xaa358a81, 0xb4814970, 0x1e1c7fb8, 0xb4e818e8, 0x0cb6c5cc, 0x557ed8b4, 0xc113ddca,
+    0x6fac6855, 0x990a92ae, 0x90e2b1f6, 0x740706be, 0x00e5a1a1, 0x646b24e4, 0x9de80450, 0x9f9c6d61,
+    0x86efb52a, 0x8e5f02ad, 0xf8d773d0, 0x3173fd70, 0xce6dd402, 0x64b9ec0b, 0xc2e2f075, 0xd7e5a020,
+    0x5cca9ff4, 0xbc3e3d50, 0x7af7e140, 0xb895b995, 0xf9b8c003, 0x5a340992, 0xea585c3b, 0xac11c06a,
+    0x3fd995cb, 0xb364a43c, 0x16189397, 0x13060293, 0x4e26df12, 0x103600a6, 0x0fc18b20, 0x34ff6f8a,
+    0xd340fb8a, 0xab011f80, 0xb3b2cf51, 0x6e569137, 0xc25d7e32, 0x58dfc41d, 0x016d4537, 0xa47775e1,
+    0x8adc9fdd, 0x3f442cb5, 0xe4822f16, 0xff763a15, 0x55ec37eb, 0x2071e4c3, 0xe9e4e1d7, 0x86c54ff7,
+    0xeec9f117, 0xb6be140e, 0x4e03edd3, 0x5e7268d1, 0x6c732f78, 0x0c349f7e, 0x6e0f397e, 0x435d9caa,
+    0xf0bc26e2, 0xdd2f78cf, 0x0988b542, 0x4748dbea, 0x95d15dc8, 0x7bcec4ad, 0x6bf7fe90, 0x9756e7ca,
+    0xed461946, 0x578d3887, 0x19cbf98b, 0xa9ddd92a, 0xe1f73198, 0x03cf3056, 0x9637b348, 0xf379a9b0,
+    0x79ffe18e, 0xcbf8a449, 0x00adbf87, 0x66cdef11, 0x2184da47, 0x2a62a978, 0x408d6d82, 0xf19595f3,
+    0xd6c1ebcd, 0x47cdfbaf, 0xfffcf0f2, 0x3b8f1e1f, 0x344a8d76, 0x324abade, 0x639bf013, 0x083ea062,
+    0xd0a7c01a, 0x1c873130, 0xa89d4900, 0x62f9d80a, 0xe069fcf1, 0x7c7d892b, 0x7ae78e3f, 0x8666941c,
+    0x6a163068, 0x2d8c9421, 0x9108bd37, 0x8195d407, 0x22f1c370, 0x99e38310, 0xf022dad7, 0x7136d468,
+    0xccaab41a, 0xae28478d, 0x9781154e, 0xedbcf1b6, 0x10c534a2, 0x85bee8a4, 0x988d6bc4, 0xd2696d38,
+    0xfdb03b2e, 0xfeb720fd, 0xe16e0f33, 0xab14c1be, 0x06e502df, 0x7a85cb0a, 0x1c146db1, 0x87dff97e,
+    0x6d8d4a91, 0xa527fb69, 0x3ade241d, 0x2de7782a, 0x6d7da9c5, 0x915a95bb, 0xd36765bc, 0x9ba6e648,
+    0x6f189676, 0x121c606e, 0x5612ce7f, 0x27d0ad6c, 0x62e10b00, 0xfc25d09f, 0x75307a05, 0x2d0dcd1e,
+    0xf7782d64, 0x0d29ea17, 0x19fb958b, 0x7a487fc3, 0xb127c29f, 0x8e59d3c1, 0x44bfc341, 0x5b2339a1,
+    0xa5ec4b70, 0xdb84a227, 0x1ded4ab3, 0xff9ab05d, 0xda07615e, 0x402a1df3, 0x57adea16, 0x786ed144,
+    0x745e61a7, 0xa4102bc2, 0xfe11a8d8, 0x845aed26, 0x40c251b3, 0xecc4446f, 0x8864f7e6, 0x4dcc5d71,
+    0x8d51b243, 0x229c7322, 0x7e630313, 0x9a2bf890, 0x6bbeb53b, 0x5fefc7b6, 0xa0d3a08c, 0x5fd7cca5,
+    0xb4c682c0, 0x44fc0a17, 0x1c418a3a, 0x57118889, 0x42448fc5, 0xf76143af, 0x0bd4ce83, 0x415c301c,
+    0xe281af58, 0x08eaf17c, 0x7d45106f, 0x381477e7, 0x957bd073, 0x3c7076a9, 0x63cea2a3, 0x20bf7e4c,
+    0x7594b935, 0x4b72d601, 0x3e6f4c59, 0x3fdda735, 0x6aed5048, 0xf7cb1b98, 0xa5a5014c, 0x06a2962e,
+    0xc160ad49, 0x14249946, 0x9b7b6873, 0x516f177d, 0x318db6d0, 0xc510d35d, 0xb3aff9cc, 0x034f5201,
+    0xe8955063, 0x76596343, 0x62f5f55e, 0x217a980d, 0xfef6199a, 0xe316d578, 0x0a7c6488, 0xab468f16,
+    0xfdb777d1, 0x877ca931, 0xebde0055, 0x31edc8db, 0xb8afff4d, 0x8c2c0455, 0x7ab69631, 0x8601993a,
+    0xea95591c, 0xdf18bee0, 0x94fe9435, 0xf4f61e67, 0x74b08ca9, 0xf686804e, 0x992f2daa, 0x86067def,
+    0x9d59002d, 0x09231ed0, 0x15b9ca14, 0x74ae140b, 0xf694d5b4, 0x6f1d7531, 0xb16a5151, 0x1cc90154,
+    0x6dd4b344, 0x88130749, 0x3193c653, 0xf101ffe8, 0xafdf370c, 0x04297d1d, 0xa6bcc9a5, 0xf9eaf1fd,
+    0xcb9feae0, 0x81a0857e, 0xb0ef369a, 0x9db94a64, 0x28e9d065, 0xe691916b, 0x71be74c6, 0x19d277a2,
+    0x91deed5d, 0xd5705912, 0x4aacbd01, 0x490e0876, 0x346e1a4f, 0xe367d58e, 0x1af6efde, 0x323c8000,
+    0x7f24ed37, 0x53339a44, 0x0421225e, 0xded61e86, 0x5a345c2e, 0x41a16a92, 0xe24850fd, 0x72b6a28e,
+    0xe7312a57, 0x00869bbf, 0xf5f78e57, 0xa2faa0f3, 0x4fa11f44, 0x6b4d9037, 0xa946e924, 0x37d31083,
+    0x0578ecab, 0x3bdf56d5, 0x77a022c6, 0xbffde3f6, 0x123058ee, 0xedbcea21, 0x8c3f96fd, 0x11180aff,
+    0xb29f7160, 0x2428ef71, 0x01ade711, 0x6b61b897, 0x7515c547, 0xd9dd52a7, 0x39d90e77, 0x08b7b05d,
+    0xf37f20ff, 0xdef1b201, 0xdb002a78, 0xf7cf484c, 0x0f44509f, 0xffbb6c7c, 0xa6edc992, 0xe2de1b23,
+    0x05359829, 0x7353b009, 0x35f4eb20, 0x8b310538, 0xba84aa46, 0xf713a4b1, 0x2f42d07f, 0xcb7d5541,
+    0x6bc7c930, 0x6b0cf4f5, 0xf4b53ae5, 0x97c658f7, 0xf70a60a1, 0x9e2fff0e, 0xd2ab2a32, 0x7b5bfe43,
+    0xbcbfe84c, 0x060de7d7, 0x4455d148, 0xe489e306, 0x6f8ad244, 0xb547608a, 0x037131b5, 0x39e0827f,
+    0x3a4d9623, 0x2eeba871, 0x6fdd3a4f, 0xbfdd156e, 0x4c3f5c1a, 0x0bef8ebe, 0x5746c019, 0xa1351b15,
+    0x5c81a9a3, 0xb67c7ebf, 0x3f74cceb, 0x86f6212e, 0xe6a3a03e, 0x996c8eb3, 0xb1252fea, 0x80e8e498,
+    0x94e9ddd8, 0x547975d3, 0x452edb6e, 0xbf4f47b1, 0xec2be2e4, 0x192a97ef, 0xe81f6075, 0xe6eae8df,
+    0x3622166d, 0xa5d3ebf2, 0x3f9dee29, 0xe623d4c7, 0x3ae586e9, 0xa3265d69, 0xaeeaa9b4, 0xd881d75e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000079228162514264337593543950336 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea03, 0x6da81200,
+    0x00000000,
+    0xa81676d1, 0xbdf858e0, 0x469da87f, 0x01a74dd3, 0x24240c8b, 0x56db3bfb, 0xa42536ce, 0x9fcc4d3a,
+    0xf2afeb3e, 0x1a244762, 0x08382980, 0xfdad684e, 0x6009b940, 0xc965eb09, 0x81d51abb, 0x541d78f0,
+    0x7415a6eb, 0xc5804d47, 0x2845d136, 0xf8ab0e9b, 0x44fa7622, 0x6678225e, 0x6488c2bc, 0xe0c88c6c,
+    0x149c0b61, 0x717b3274, 0xa32fa1ad, 0x8240d147, 0x320b1735, 0x95a63637, 0x34bcdfd3, 0xeba6610a,
+    0x68b9edc7, 0x3993a93d, 0xdc6b6438, 0xf1bdf7b7, 0x691fcb77, 0xf57254f2, 0xb8d8518c, 0x729be3c2,
+    0xe4b51099, 0x7098b38e, 0xd18f3863, 0x688d814d, 0x880ae831, 0x5a11057e, 0x1e9b6a17, 0xd23bb390,
+    0xbeed7af7, 0x19f871d3, 0x0d279a67, 0x1fdf5a8e, 0xd01c5adf, 0x5baadeb7, 0xc9a0b95b, 0xb1b68577,
+    0x6a19f39b, 0x5f3edc44, 0xbe1a71ef, 0x2b87850f, 0x339f788c, 0xe2453531, 0xdee50a92, 0xfc0c730c,
+    0x615f1aed, 0x32cd84d9, 0xb254057e, 0x2f12ee64, 0xeef34289, 0xde72bfea, 0xdb133bb4, 0x68847d67,
+    0x4e7ac4f4, 0x32faa335, 0x5b89b5ea, 0xbec209fc, 0x9b847ed3, 0x46744fa6, 0x09f4622f, 0xa4db0adb,
+    0x11d15a6e, 0xb932ba9b, 0xbaa35c3e, 0xa04df0d1, 0x8b27bd6b, 0xa13d16c0, 0x0d1add9e, 0x39c69188,
+    0x27dcfcc0, 0xd15fc24b, 0x207c4395, 0xa93d569a, 0xe63c69e1, 0x22f16778, 0xa652d2ae, 0x6ad52ca0,
+    0xa0a13202, 0x9769e078, 0x97eebd96, 0x2fb05a53, 0x3877b1ca, 0xe195bf52, 0xaf21e86e, 0x5a26c222,
+    0xb2b2a0f9, 0x5db11ce8, 0xe6611171, 0x53a97166, 0x24d93eeb, 0x6aaa0a05, 0xe1007ac0, 0xe4137603,
+    0x97e33985, 0x1694a326, 0xcf14d591, 0x76a91596, 0x2d585789, 0xa14942ab, 0xffb8822c, 0x7083ed42,
+    0x5d916525, 0x532be95f, 0xa3a1bc0f, 0xda9f2085, 0x685316c4, 0x6f19b78a, 0x2df5048c, 0xa27a633f,
+    0x5fca35fc, 0xccaac20f, 0x935e80fc, 0x76e6c30d, 0x1345f0ec, 0x71becfeb, 0x9d4448d3, 0x9ba91686,
+    0xf42779c5, 0xcb6307a6, 0x8446691b, 0x83105bb6, 0xb322683e, 0xea4c319c, 0x32bf08be, 0x67477ba1,
+    0x8e9e51d6, 0xd828b397, 0xd2fa47f5, 0x35f916ff, 0x708d3dbe, 0x9fa42811, 0x67fdd4a2, 0xd8da1adc,
+    0xc5d2dbdc, 0xa6e68a1d, 0x097b508b, 0x5223f4bc, 0x7f1d6c47, 0x993a59bd, 0xfeb147fb, 0xb433bf86,
+    0xa863526d, 0x2aaeb6ac, 0x2de08279, 0x71500f2e, 0x51024d35, 0x46d298cc, 0x370d5370, 0x0fc88fad,
+    0xc877635d, 0x73d2dd12, 0xb03131c9, 0x31eacefc, 0xf309983a, 0xe9238020, 0x4ebc7336, 0x3de91a9b,
+    0xde34f6a0, 0x53204776, 0x926e8a23, 0x39d1169c, 0x90a73d28, 0x877898ec, 0xd4d459e4, 0x6c0452ca,
+    0xd36323db, 0x985542b1, 0xf371799a, 0x85f9cb32, 0x45321710, 0x5d117ff1, 0xa486c0ef, 0x7970e440,
+    0x93139f88, 0x12dd22d1, 0xc142244e, 0x42fc77f9, 0x4cd2f240, 0x57cc02b2, 0xe6e534c8, 0x7ac5da55,
+    0x14286dfe, 0x73053da7, 0xa593b683, 0x78e41cf3, 0x52915db4, 0x838104c7, 0xa08a3762, 0x47b0a0a3,
+    0x419456fa, 0x1211c7fd, 0xa8528c8b, 0xe6cd44c3, 0x30616123, 0xd78cddae, 0x6dc592e7, 0x1200699f,
+    0x25e1e5c5, 0x156f31c8, 0xbe8dcb72, 0x1bd26952, 0xd61e6416, 0x066adf24, 0xdc08e153, 0x5f15c518,
+    0x73214fe6, 0xb89f6403, 0x002124f6, 0x7cd43ec8, 0x1241b61f, 0xcbb5e84d, 0xc32df6e1, 0x1d1b6300,
+    0x98c87911, 0x89add4b0, 0xf9acfb65, 0xfd1041b5, 0xf6dab97f, 0x10917034, 0xcceab763, 0xa13410d2,
+    0x4bc2b9f0, 0x0ab945b1, 0x1eb588a0, 0x423e35d2, 0x5e482e8e, 0x66bdfeec, 0x70e3a8af, 0x663da68e,
+    0x1d34f011, 0x3696c546, 0x3c177be1, 0xba500bc2, 0x5d885a3a, 0x1e221402, 0xbba81c0b, 0xc0cc3697,
+    0xd1c7fab1, 0x5afd7fd3, 0xa9ce9693, 0x4f490f4e, 0x6c4205ea, 0x601cc1ea, 0x2dcaf989, 0x19a56fe8,
+    0x0acd3313, 0x58eada6f, 0x212f63c4, 0x2d58731a, 0x49e2fdef, 0xdb6dd18f, 0x21943ced, 0x5c1e421b,
+    0x17547445, 0x87b47edd, 0x37a2fdbe, 0xbcf6f32d, 0xcebbc6c4, 0xa910ed6a, 0xb807b0ee, 0x15dd8d98,
+    0x7a375472, 0xd9a96a83, 0x53216a65, 0xaa234e42, 0x6f5d819d, 0x03b4e91a, 0x31cb8b23, 0x4b9d3042,
+    0x534788d8, 0xb722d7ac, 0x82924112, 0xab82b972, 0xc22bd383, 0xcd8cc260, 0x1e534b68, 0x70b44f89,
+    0x864c305c, 0x27a6f24d, 0x2abfc1bc, 0x95642f79, 0xf90d050c, 0xedc2c0f7, 0x14e1efec, 0xbef6fa42,
+    0x103aabf0, 0x58a840bc, 0xb657155b, 0x11001574, 0x6be59340, 0x4c86fcff, 0xb532b4a3, 0xbe446b9e,
+    0x6840d606, 0x762a5614, 0x0fce8d1f, 0x7c6872a1, 0xe6d37882, 0xcd107a37, 0x3a13fbe9, 0x606d469b,
+    0x4ba48787, 0x7dc2b61b, 0x4b17e582, 0xd330ed2b, 0x264cc177, 0x52fba6a5, 0xe9711fa7, 0x6475617b,
+    0x0130f603, 0x75c6f502, 0x437c7841, 0x499b059b, 0x47aca6b5, 0x06935a39, 0x7623f37c, 0x133498cc,
+    0x6456e447, 0xc16f4a72, 0xab49f80f, 0x6f1ab949, 0x24595a74, 0x94928751, 0x45f12ad5, 0x15c9eb60,
+    0x2f3ad386, 0x9ee0ef3e, 0xa3b4e1b5, 0x7cb76763, 0x6039dcd6, 0x2cd3be2f, 0xef5ed523, 0x4ad7ddaf,
+    0x91cc86b8, 0x8e6dce6e, 0x58c1bc8f, 0x78aa2b76, 0x0f2a7c82, 0x796077f7, 0x0e394ac3, 0xfa3481ea,
+    0x6103611f, 0xc0a0c33e, 0x8f25b387, 0xdd07eed8, 0x538bcd57, 0xc4cf1410, 0xa518cf70, 0x9e97b010,
+    0x50ffb5b5, 0xdab0a576, 0xd4c6b2fd, 0x388c02e3, 0x3861a9b8, 0x95e8c382, 0xef1ab3a8, 0x908b98ac,
+    0xb722afd1, 0x65f6e3e6, 0x769fd5e6, 0x0b60e61a, 0x97c4ab48, 0x8e0bc02f, 0x2841d3ff, 0x779e5d3d,
+    0x0804b593, 0x55ee98ee, 0x7026ddb4, 0xb27acf61, 0xf94467c5, 0x77925359, 0x709e3097, 0x7b2ba94b,
+    0x81448e7c, 0x05ad1045, 0xbe07bce7, 0x47227081, 0x3f92409e, 0xcbea3334, 0x54438645, 0x07cb7099,
+    0x194f9f6c, 0xc67f6d01, 0x13fd428c, 0x4c7c7ccc, 0xc91e8dd6, 0x154399e3, 0xdb231ba8, 0x84af6138,
+    0x765efdc3, 0xe352c564, 0xebb4c9d8, 0x6cc208a3, 0x1ec7895d, 0x34f7ad7e, 0x33973b27, 0x63c4795d,
+    0xc0c3b3e3, 0xa7ae1e8f, 0xf8e18729, 0xad1e016d, 0xb11864f8, 0x7b6db6d5, 0xbdcd1070, 0x11d2a52c,
+    0x5c2d6fbc, 0xbe54706f, 0x4fceb48e, 0xdaa427d0, 0x3faf28fa, 0xb6c9625a, 0x0b6aa495, 0x5a95659e,
+    0xd212d147, 0xbaa13952, 0x5b624baa, 0x4b759556, 0x89474129, 0xb532256c, 0x0e736012, 0xffa84ac2,
+    0x4c54b3b5, 0xf1fd6946, 0x595c57d7, 0x23b06bcb, 0x0313db8a, 0x8e3daed2, 0xfe3cbe44, 0xee5d2bcf,
+    0xaa5eb6c0, 0xdb58f452, 0x47989019, 0x95382c57, 0x5c44b564, 0xf7471963, 0x8f33fdd3, 0x1ce1de95,
+    0xb24fa3bd, 0xf9e08e8f, 0x8b4788c8, 0xc7de324b, 0x0e1e9560, 0x13537e71, 0x7b9db568, 0xa0a0ce82,
+    0x5689c0b6, 0x2bd22fe8, 0x4a788297, 0x9dc9eecf, 0xdf0b6905, 0x1c3b392a, 0x7e4aa230, 0x3d3db1b3,
+    0xff0e4172, 0x5d753147, 0x555f94e5, 0xf7a19308, 0x3d759c7a, 0x210fc652, 0xba6ff6c6, 0x237c42a7,
+    0x11ec629f, 0x8c4d8e8b, 0xffed9e1d, 0x72d601c9, 0xf1b9238e, 0x82ecd78a, 0x54492608, 0x3ee4d47f,
+    0xe8895f66, 0xa22070a1, 0x94d74542, 0x2ed14ed8, 0x8ba8ad65, 0x68080a69, 0x16397ed8, 0xc064f3d7,
+    0xe01c9837, 0x7b301ee1, 0x85704c30, 0xd92b0cab, 0x08b73c90, 0xfcfc3115, 0x4f9c4961, 0xf016b646,
+    0x67e37026, 0x5311d973, 0x98af8560, 0x597b7111, 0xde55eeef, 0x2df30d17, 0xf8793754, 0x5a017ecd,
+    0xa2cf19c0, 0x6b11d2e6, 0xf2ea678d, 0xd83c6e16, 0xfe1bfea4, 0x9d79bc33, 0x14acdd08, 0x0f368dda,
+    0xa08f68d0, 0x4be10b9c, 0x0369f5c3, 0xab2cd94c, 0x687c5c58, 0x26c4b7a0, 0xf65d95b8, 0x234752fb,
+    0x00c0675f, 0xc2b74880, 0xb82dde36, 0x3645b4f7, 0xc5012650, 0x37b61826, 0x5d0f74f9, 0xb35e68bc,
+    0x03439491, 0xc179390b, 0xeb5e5fba, 0x55f21f2a, 0x935a5467, 0x8ed84549, 0xb1670564, 0x4076e82f,
+    0x1638b1c0, 0x95c26ef9, 0x1358be3b, 0x63d655e8, 0xc256a951, 0x8078b223, 0xb1a9eabe, 0xa5d1c9e9,
+    0xa94f830a, 0xf7f801e2, 0xd1d025a0, 0xbe2b0e20, 0x199de103, 0xf87a2c34, 0x660af83b, 0x71ef4145,
+    0xd31662b9, 0x19030c19, 0xc739129b, 0x4f08677e, 0xf29bb5d7, 0x9c92e192, 0x8a9a7f97, 0xcab20940,
+    0x1c987c99, 0x73654c99, 0x845441ee, 0xe6a83233, 0x52342721, 0x0e7d7030, 0x42f68e08, 0x376b171e,
+    0xc098d3bc, 0xd14f13cc, 0xa4fe3950, 0xaeb8c099, 0x19b8fee7, 0xf30817fc, 0x739f7021, 0x8c222deb,
+    0x82bfb581, 0x335c38c0, 0x8b93289d, 0x45a9fbbb, 0x9a80e535, 0x6abd52ef, 0x901fb21c, 0x2f2d25ec,
+    0xdd74f771, 0xa5d38772, 0x09c0c3cd, 0x38036d9e, 0x6c1233be, 0x6a0998b9, 0x18afa771, 0x8723186d,
+    0x04621d85, 0x1cf9ca7e, 0x9fe25811, 0xb0cee751, 0x86de1f37, 0x68869b85, 0xd8ab7374, 0xf7e1f663,
+    0x88e64618, 0x990b82ce, 0xe988cb31, 0x26de4146, 0x2a165315, 0xf86dff68, 0x465cbfc7, 0xd43077c7,
+    0x0613c52e, 0x473a9467, 0x67d4b8d7, 0x98679c27, 0x5017fd03, 0xd67e1649, 0x3b752544, 0x023e06eb,
+    0x177ba32e, 0xb4ae3336, 0x75b04921, 0xf3f3885f, 0xf1ef06d5, 0xa8de4034, 0x04e7aa50, 0x143a0ea0,
+    0x4195bf62, 0xd1dfbfc5, 0x3b26aeab, 0x61773f26, 0x7eec4008, 0x9ea5bbb7, 0xd288b55b, 0x34dd8420,
+    0xf5982402, 0x742bfb04, 0x323cba0b, 0x888567e5, 0x4cb4cefe, 0x67eb8359, 0xa542ebd4, 0x2ac2f924,
+    0x021464dc, 0x902506ae, 0x1a77ee9e, 0x6b6a1af2, 0x61e29ed4, 0x4ff7d0ee, 0xc9c04ac7, 0x174126e0,
+    0x7fb0d8b2, 0xb3f46e68, 0xecb54b44, 0x07470ad3, 0x3924f46c, 0xe91c0947, 0x7bb205fe, 0x6627d6b2,
+    0x1c01ef43, 0x1796d2bf, 0xd14ea5db, 0xe7454287, 0xbbf0c483, 0xb5955f65, 0xabe646d0, 0x91027ef2,
+    0xcd3bd309, 0x217147a7, 0xdd3278b0, 0xe791d313, 0x5e95adef, 0xc6f7c859, 0x8514aac5, 0xf05ba539,
+    0x91ca95a1, 0x873ee3b1, 0xc6803dd2, 0x04c280ae, 0x20bcba06, 0x4897c9cf, 0x3d34871d, 0x583d574b,
+    0xaee0b01a, 0x899657ea, 0xd2a86ad3, 0x28d7f485, 0x311c73dd, 0xf3ee5392, 0x51603447, 0x43278639,
+    0x8ed7b745, 0x07991a1a, 0x2014b6dd, 0x124c4b32, 0x630f03a9, 0x0d41b23a, 0xff6dc8d6, 0xc4c33df7,
+    0xef99921e, 0x6dfa4364, 0x23833a33, 0x8a9d2884, 0x8650daeb, 0xe5cbe84e, 0xce0cb718, 0x625207a9,
+    0x35e59cba, 0x19d2a0d8, 0xd2894a10, 0xd3d57db6, 0x0af09d4c, 0x6edf7c7a, 0x2d4d743d, 0x2c92e0bc,
+    0x085ea1d5, 0x63dee64b, 0x6e29fc44, 0x11ead933, 0x6043e597, 0xbf2d7bc7, 0xbc5627a9, 0x3a75f1af,
+    0xfa447269, 0xd7a733b0, 0x768b977e, 0xee01e3eb, 0x415d0467, 0x90651fe1, 0x5c51d3cf, 0x33d49933,
+    0x46096627, 0xf8ccfece, 0x52d4e538, 0xdf7adf8f, 0x8575cab4, 0x512be566, 0xc88554da, 0x1662c80a,
+    0x74234913, 0x1db3359d, 0x745cb19c, 0x0e89cb5e, 0xd8e58614, 0x01d27746, 0xdc94eb50, 0x814b32f3,
+    0xe1e5805d, 0xdc8c702f, 0x80ee352b, 0xed3c7f9a, 0x063fb04a, 0xbb94b0c4, 0x3ffcf28a, 0xd4f7f826,
+    0xd54b0ff2, 0x26be4ea6, 0xc412e057, 0x5918f596, 0xfc198861, 0x4df2137a, 0x1ff2fe65, 0xd1c52bb1,
+    0x7ba26bc3, 0x3fb7f332, 0x04217a7f, 0x99f32a8a, 0x874096d0, 0xe7b61105, 0xd34fbfe3, 0x6bbe52fe,
+    0xf68d8860, 0xa94b7d5b, 0x8f352b02, 0xddc64dee, 0x270537bc, 0x04df6530, 0xea6f9ec0, 0xd0a572af,
+    0x206dd588, 0xfe1f879e, 0x35356a50, 0x1078c72f, 0x487e143b, 0x41482604, 0x35b01267, 0x7c9a80a9,
+    0xb486d030, 0x879c2102, 0x2bc02817, 0x40853cb6, 0x9762c580, 0x9599246f, 0x1994d9ad, 0xf3912716,
+    0x4d31a1df, 0x0caa4c4e, 0xef36d5bd, 0xf787984a, 0xdc570e93, 0xce951638, 0xb7a450a8, 0xda854513,
+    0x99be168b, 0xd639c7e3, 0x30bd913b, 0x80703732, 0x6cde5a21, 0xbe0ac591, 0x9c9fcf46, 0xe13a6c52,
+    0xe14ddde4, 0x38715d63, 0xdb90dbaf, 0xd7231c37, 0x17a9c5b4, 0x50dbd958, 0x88b12bf6, 0xc4e3f7c7,
+    0x512bd9de, 0xc782a5fa, 0x40b2e63f, 0xb310e52e, 0x7502e6e4, 0x255ade1a, 0x2ff5d480, 0x66db4f2a,
+    0x2a331e3b, 0x6b707a70, 0x52a190d9, 0xa9a714d7, 0xc639f8b9, 0x8b0ce042, 0x2f730d97, 0x5c70b113,
+    0xac06b4cc, 0x25a2e228, 0x86225129, 0xc8c0a08d, 0x1b0e9ca3, 0xb7b2323a, 0xaf5672ff, 0xc0c573d5,
+    0x759110c7, 0xa017d0e5, 0x4f23c757, 0x4b0c41d6, 0x3f2fc6d1, 0x09fb321e, 0x68910a28, 0xabda37b5,
+    0xcb297f77, 0x978025cb, 0x58822509, 0xf495be70, 0xbe9809a5, 0xc222c73c, 0x0c9f7bf6, 0xc99b0e73,
+    0xb8cf780c, 0x01b5d6a3, 0x018d9324, 0xa8b3fb25, 0x0d6ff1b3, 0x56af82fb, 0x35462ef8, 0x51f0a22f,
+    0xbd1acc7f, 0x9a8ffb89, 0xacb9e62b, 0xd992011b, 0xd53f6af6, 0x2bc58c9d, 0x4f95b138, 0xe5e1e328,
+    0xd6cbb06e, 0x12d051a8, 0x7bb42c1d, 0x2da59913, 0x62b60718, 0x147311a0, 0xf92d334f, 0x60e433dc,
+    0xd70f182f, 0x0a3de4a1, 0xe04fa36e, 0x7d1e2d54, 0xbdcad178, 0x6869c72c, 0xea9713d7, 0xe9e103b0,
+    0x5afc8b36, 0xf76774ff, 0xdf161c52, 0x005edff6, 0xe92e9d9b, 0x160b9706, 0x05bd6a65, 0x9005208a,
+    0x54b05b29, 0x2fee8020, 0xc7ad7fce, 0x25494419, 0x684c687c, 0x10795d9c, 0x5f4a5aca, 0x2239a4ba,
+    0xd39256ab, 0x71616e07, 0x5a78c01e, 0x4e45a43b, 0xd7b883d0, 0x22fbf4a6, 0x869fe7e3, 0xc767bc4a,
+    0x6cd8d39a, 0xb2e32156, 0x6253e881, 0x6c0e34fa, 0x8cddedfd, 0xc35fcfba, 0xf67a3396, 0x48fa2706,
+    0xb1519e44, 0x5fd229c9, 0x3f198f5e, 0xa8e0a737, 0x77ae5466, 0x0695641d, 0x837f664b, 0xe5f7a31a,
+    0x518f34d8, 0xd6e2b97b, 0xba2c03e4, 0x49145ae1, 0x8d140f30, 0xecb5b461, 0xb77da58b, 0xacdce282,
+    0x09da67fa, 0xd72d0c8d, 0x2ee2cfe2, 0x6bc82b75, 0x0b7354d3, 0x85a296d5, 0xcca9109d, 0x41b156e8,
+    0xe30091de, 0xfdd8b13c, 0xc3a49cf7, 0x1eb930f0, 0xfdd6268a, 0x776cf062, 0x2a7cb87e, 0x1f28cb8f,
+    0x106fe84d, 0xd44a6629, 0xe32c8643, 0x798b8de4, 0xcb787d7a, 0xfbac9cd9, 0x28dfdaa8, 0xbdcee538,
+    0x2ab208ce, 0x9322c6d4, 0xd12bdbf3, 0x44d9f4d2, 0x49fb3ccc, 0xea9626b5, 0x1a6ab9d4, 0x64e96290,
+    0xb4d6bc1c, 0x9500c1ad, 0x6c2cb46d, 0x27860315, 0x00160f06, 0xc8e9fc4e, 0xb9f11d72, 0x8e302744,
+    0x751ec31d, 0xc8772fc9, 0xc73a4107, 0xb8eae8d3, 0x1cc1690a, 0xc97cde4f, 0x3eab436f, 0xfe97940f,
+    0x2f1cfa48, 0x67f738ae, 0xa90564f3, 0xc0085f36, 0xc2441fd1, 0xe021fbdf, 0x8385c36c, 0x3f945669,
+    0x010d28bb, 0xb8ba8e7b, 0xea6a4f3f, 0x55689fcb, 0xea74adca, 0x9cd7f363, 0x437b21a3, 0xc333fdda,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000039614081257132168796771975168 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47501, 0xb6d408ff,
+    0x00000000,
+    0xcf701756, 0x2563946d, 0xace6a5e5, 0x09a63ec2, 0x268d8b8c, 0x11b87ed7, 0x794b8cd2, 0x42a3664d,
+    0xfdee4e90, 0xc7f4140d, 0xaf3114f4, 0x60c9261b, 0x3f518eee, 0xe9b72edb, 0x40e40617, 0x9167e6cb,
+    0x168e2305, 0x1053921a, 0xd5097117, 0xb6f52d6e, 0x1711c9c6, 0x07025bc6, 0x0c6c8663, 0xeeb70b33,
+    0x6bb85449, 0xd295c9ba, 0xf5043313, 0x7a71b962, 0x0bb44d0c, 0x7e2b2d4a, 0x734ce137, 0xfe9cd77e,
+    0x9b8a39ee, 0x9ea0a1a0, 0x9e9d6383, 0x0efdfc86, 0x88bd3d38, 0x97debfe9, 0x0515a6e8, 0x3b42023d,
+    0xe25077ed, 0x04071dd5, 0x01b27208, 0x35740802, 0xa0e04719, 0x2bd9a0c6, 0x8a515fe4, 0x7dccb916,
+    0x02cab3ff, 0x7bbcd51f, 0x3ada9c39, 0x29ad16d6, 0x4a11aec5, 0xe25fc75b, 0x3d6f5776, 0x5126bc3e,
+    0x60e6e7fa, 0xea1cb507, 0x25d0b06e, 0xb429e9b6, 0xf0fc3009, 0x6a113d81, 0x1d860637, 0x10b1164d,
+    0xdce286c3, 0xf5ba82bf, 0xde796e60, 0xe95d36aa, 0x3904e664, 0x58dc1c6f, 0xf9281a4b, 0xc0b5a767,
+    0x7808a0bb, 0xf7a99ddb, 0x93646a99, 0x3946cd31, 0x7624b671, 0x9cee428b, 0xa2dca5cb, 0x8b656323,
+    0xcbc75e52, 0x2c2a1102, 0xaa6c5bf0, 0x996a7743, 0x90c94db7, 0xf95c1814, 0x094788ae, 0x14c37da5,
+    0xed0a6cbe, 0x3857b9ac, 0xe54a290d, 0x7ded0470, 0x55105d30, 0xd320c7e8, 0x4e020ed5, 0x674eb9da,
+    0xf4fa3aab, 0x299a87cb, 0x17fdf55e, 0x11788445, 0x3b479258, 0xe08d23ee, 0x1b3dd407, 0xfd21ce6f,
+    0xfbd3af8d, 0x4736e094, 0xb4a1fc51, 0xd6a706f0, 0x85460e56, 0x5b10339f, 0xb802bc70, 0x9a3b69d5,
+    0x4331d33b, 0xe84ed47b, 0xb6b2ba2b, 0xefee7d9f, 0xc5dafcf1, 0x57200dfb, 0x5d936199, 0xa3e4b5a9,
+    0x27d6a684, 0x365a1c54, 0x73d07b53, 0x6be42177, 0x2e0a1eb2, 0x3cfc102d, 0x463231bd, 0xcaaa3552,
+    0x0d1309d3, 0x9e779164, 0x57145369, 0x0943afb7, 0x40342340, 0xd0c35740, 0x62159ba1, 0xfaead20d,
+    0x632f98eb, 0xf204e361, 0xa224a16a, 0x6a87313e, 0x1a55f5fc, 0x913d113d, 0x8f87c804, 0xb0238d3f,
+    0xfda53967, 0xce2880d2, 0x1c47d4fd, 0xe6d16a43, 0xfd1045e6, 0x280a31ad, 0xcb1ee3f7, 0x2ff9097a,
+    0xad616c80, 0x77e4ac85, 0xad326c3e, 0x30952304, 0x90677110, 0xa57c3755, 0x62042872, 0xcae0c516,
+    0x3d363200, 0x21322a2b, 0xb37a9870, 0x08e5003e, 0x22312349, 0xac4eb079, 0xfe0b4675, 0x488b7799,
+    0xb725c9f0, 0x8f75d432, 0xc5be8491, 0x7efed48b, 0x1eb65272, 0x53a4cfb4, 0x38eb6638, 0x6d646e6e,
+    0x51e89193, 0xa1c36284, 0x1a6c8b78, 0xee705a8a, 0x9bd60537, 0x2343b05a, 0xf865f4f0, 0x5f1c0c4d,
+    0x1a90f2a8, 0x454d35a3, 0x8a3a9181, 0x47170b89, 0x6e350738, 0xb1ea5343, 0x5f52f9b5, 0xa30d816f,
+    0x796f0fa9, 0xc4e7a7d7, 0xf552c577, 0x9d551d16, 0x3742dfc9, 0xbf249fad, 0x9a53ba3a, 0x87a9284b,
+    0xdb3b2377, 0x10d5cc22, 0xa2019fd2, 0x1d705745, 0x832f22cd, 0x4560a4fc, 0xef20f5ac, 0xbbe983f8,
+    0x83c33237, 0x941222db, 0x39f99e3e, 0x3dfb6ef8, 0x62fb0f8d, 0xf0b29d56, 0x6bc52fb4, 0xdeb119fb,
+    0x997e7751, 0x7666882f, 0xb4391a1e, 0xed169340, 0x984080e7, 0xf0da5867, 0xd0f81004, 0xfa7ff38b,
+    0xb075ab85, 0x83195fe4, 0x210006fd, 0x0ce07933, 0xe8a13911, 0xc015aaf9, 0xd755a21a, 0x212f8792,
+    0x10e83ff4, 0x1a1f8fc9, 0x98b12229, 0xe978c2ae, 0x4373cd39, 0x64687f7f, 0x1466b63d, 0x24c941aa,
+    0x5f48270b, 0xcea8f02b, 0x8db81c8b, 0x4a8cae9a, 0xeb0af778, 0x5fcea39c, 0xaf2cb0ed, 0xad97ae90,
+    0x0cf70c33, 0xe2e7b99b, 0x5f922aba, 0x1c925441, 0xaff3981f, 0x819dfbb1, 0x5acd01cb, 0x4b34ff82,
+    0xb7604407, 0xf8fc0354, 0x4817d913, 0x10892c9f, 0x0d5d7a42, 0x9d36a6c6, 0xdc5fc41d, 0x9cbdedcc,
+    0xac46d212, 0x40c8ff28, 0xc7844ee6, 0xc3888b8f, 0x3059a3eb, 0xa0a9b378, 0x979b0b99, 0xc46255c8,
+    0x75a370ea, 0xf8202817, 0xfe1a40cb, 0x6316a13c, 0xae95d941, 0xe352f603, 0xcff04d2e, 0xce35d949,
+    0xbd6cff18, 0xf3bace12, 0x57095635, 0x39c2f1da, 0x684f8147, 0x98b3e657, 0xf2466d16, 0x4c50459f,
+    0x067d6efa, 0xfb08d841, 0x2a08a694, 0x36af8c85, 0xbf85711c, 0x7c70b906, 0x510954b9, 0x33a95648,
+    0xb4a30f36, 0xe853d486, 0xb7af286e, 0xd12cc57f, 0xe268d3e0, 0x15ed8644, 0x87ef1d20, 0x5f7f4e14,
+    0xc295f22e, 0x4d0ac5e2, 0xd4390c01, 0xc5e9e5a4, 0x7fc775bd, 0x6ea4e042, 0x514c6e98, 0xaa7e40dc,
+    0x2768d964, 0x2c507e4a, 0x6ae64908, 0x48fb4153, 0xb5383e79, 0x23bf62b8, 0xecd7cfa4, 0xedf4a769,
+    0xeacd0767, 0x4a8d5338, 0xff0e7d93, 0xa9d84800, 0x9120ef88, 0xcaf0021e, 0x5b73e255, 0x54bcf2b7,
+    0x8c76f43a, 0x5c6b6296, 0x94ba68ca, 0x3dbb6474, 0x75c8ea66, 0x8648118d, 0x481ebab2, 0x262f2bad,
+    0x24be2927, 0x22a2371d, 0x823c35ca, 0x8bd33676, 0x453f423d, 0xc1ec5be9, 0x9d3e9ac7, 0x7764de23,
+    0x3f2d75de, 0x5b4169ad, 0xb1bc49f2, 0xe9ed35a1, 0x2d82364b, 0xefcc992c, 0x8194e370, 0x336c6c18,
+    0x4977e483, 0xf9b84368, 0x5677bb5c, 0x5c102001, 0x6ae817ab, 0xe8f716f8, 0xfa94e5fd, 0xdd7fbf71,
+    0x3c732b94, 0x64708432, 0xf74c4d2b, 0xa43e287c, 0x97faa937, 0x37f997fc, 0xab247264, 0xfe908b4a,
+    0xbbbbbd8f, 0xa6fa92c7, 0xe8b3eaed, 0x0f030b57, 0x4dc226e5, 0x0296331f, 0xf9c43fba, 0x83c3a190,
+    0x3ca7de42, 0xe75c57f0, 0x01c40c0d, 0x7a86b12c, 0x24331a48, 0xd3d64720, 0x41c54218, 0xcb61cc3d,
+    0xf62b2400, 0xd6deb2f5, 0x0e24bfef, 0x933664ad, 0xd0ab4015, 0x830b05ab, 0x5e9e9545, 0x90ec434a,
+    0x0d29cf70, 0x5b43830e, 0x2f1a9825, 0x7a0bfd89, 0xcaa6e62f, 0xda7f8a3f, 0x7ad46ec8, 0x930ee285,
+    0xf512a82d, 0x37e2a719, 0xdfd655e0, 0x4803b9a4, 0x01ec972a, 0x3da2f3a9, 0x8091271b, 0x7beb6aa8,
+    0x84361ef0, 0x88227e23, 0xe84b0c13, 0xd4df3b0a, 0x67200e49, 0x604239de, 0x12651ddd, 0xd37af5c8,
+    0x973ba12c, 0x2a2159bc, 0x59489df7, 0x92c5e783, 0x58b6d08f, 0x5cb9d6a8, 0x6e753365, 0x59700c47,
+    0x0d32ee0d, 0x2a9e0398, 0xabcd599c, 0x48105c53, 0x7ec65f0e, 0xfa3b1c8d, 0x12744dd9, 0xf88bd6e5,
+    0x54d803ea, 0xdf249a1f, 0x5289aa35, 0x4872c862, 0xb0c73fae, 0x9bff2881, 0x7e7e064e, 0x7947fb14,
+    0x728256dc, 0xa6002814, 0xfac3a771, 0x14ee8ca5, 0x6de1f2aa, 0xf6a793fc, 0x35a68823, 0x04474ab9,
+    0x9bc23602, 0xc62165b1, 0xa92f839d, 0x62f91a4c, 0x943f54e5, 0xf32d3d0d, 0x4021e6ee, 0x84854972,
+    0xee4b0439, 0xa411aa3b, 0x925aafa9, 0x34421e2a, 0x53e921e4, 0x24b7cc4e, 0x2c474302, 0xb3913f13,
+    0xa821eb57, 0x0a728152, 0x349c1f88, 0xbfd07485, 0x63b6aa63, 0x7bc8d5ff, 0x4646dba8, 0xd18d22d8,
+    0xa1ada2f7, 0x3545147b, 0x913191eb, 0xe8e490df, 0xeac21de5, 0x6bb0a6ff, 0x2dba5028, 0x6928f703,
+    0x49fbb3f6, 0xe56dddb2, 0x670897de, 0xeb6e16e8, 0xec514798, 0xe141c82d, 0x278a5e18, 0x230f14fa,
+    0xfd20d55a, 0xb95bf698, 0x62703c7e, 0x005b2dd7, 0xf9675984, 0xad4f03f0, 0x3989d668, 0x6b110173,
+    0x6bf56682, 0xf8b04a6a, 0x4a8ac9e4, 0xd877cdc9, 0x178a769e, 0xaf09d8c8, 0xaa285267, 0x5f58f236,
+    0x62c50516, 0x84184ccc, 0x9904c8fe, 0xdd086122, 0x3964da68, 0x8c306e45, 0x29d8772f, 0x07290cbf,
+    0xcc2f7e78, 0xc75d8cb6, 0xe15af993, 0xeec029ac, 0x6d0c9279, 0xb518234b, 0x96291f7c, 0x8e661e8d,
+    0xf27a8730, 0x9c875437, 0xe5b58c26, 0xeb8691f5, 0x86d1974c, 0xb2b63349, 0xaf456b2a, 0x9cbf0ef6,
+    0x3a913dec, 0xd0a0910a, 0x260340d9, 0xc6026703, 0xa988dc86, 0x4fc4e26d, 0x4caeb297, 0x2ab58ff1,
+    0xe7436c8e, 0x6b56d945, 0xf941d2ab, 0xdae7f8ca, 0x2a4d39dd, 0x1e10c5d1, 0x6f6cbe73, 0x1ec0132f,
+    0x31cc138f, 0xd68b2791, 0xf08c875d, 0xfe799f40, 0x0c8b412b, 0x2505e962, 0x979b236b, 0xe2240d7e,
+    0xffb0f635, 0x13327c27, 0x53942d52, 0x6715604d, 0x62acf5f6, 0x7d67e8f3, 0x0e9fa43e, 0x5e7a6c85,
+    0x5cad33f1, 0x8dfe4e31, 0x399de6c8, 0x643d84c7, 0xd564e5a5, 0x72916750, 0x59dbc5d2, 0x5914f447,
+    0x3a231a6a, 0x104fcbcc, 0x3f59a30d, 0x481bd177, 0xa4a3c87f, 0xf80b42ed, 0x34bd26e4, 0xf2a44027,
+    0xcfd6101d, 0xcbcb4927, 0x5828b36b, 0xd315efc6, 0x7525e4ed, 0x6cf6757e, 0x025208b8, 0x0a3f6dc6,
+    0x91a1f73a, 0xc2153605, 0x47cd0192, 0xfd7c1200, 0x4394744a, 0x10ca4142, 0x2e11269d, 0x45db0458,
+    0xbf89e65f, 0x8123b2f7, 0x7b231497, 0xb06ef933, 0x9258b270, 0x880fa701, 0x3e22e3e6, 0xd531951a,
+    0x54054bdf, 0xc4ef5f24, 0x6d263ac1, 0x5ee01891, 0xe4165cd7, 0x9b7e6fbe, 0x20bc96f2, 0x5b8ab384,
+    0xc3b33a3d, 0xd0e9012b, 0x24bd60d9, 0xd1193001, 0xa6dc63f4, 0xbcd2c03c, 0xa2941f18, 0xb8bac106,
+    0x3d9504a5, 0x2a8b056a, 0x3a00c054, 0xe6ea42d4, 0x2b92a4d5, 0xc49ad9cb, 0x6cc06831, 0xdc80d2ad,
+    0x67df6e9f, 0xbdfaa4bc, 0xaf7b5c7c, 0x28a28af3, 0xd02d9fac, 0x5598cff5, 0x645e1f49, 0xde84cf4a,
+    0x0c71e5fc, 0x2526916b, 0xfc741800, 0x872993bb, 0x181e2c04, 0xf21a72b9, 0x32946a32, 0x1ca8f2d8,
+    0x07fbc731, 0xa2581b98, 0x7d11e2d2, 0xcda6a49f, 0xbf46cb9d, 0x5868a27c, 0x8b58a97e, 0x56677b76,
+    0xd881032d, 0x7ed5c7f4, 0x1f1d8389, 0x4a4fba50, 0x454a56a6, 0x1595264d, 0xfd841445, 0x06a00ab2,
+    0x1fe0c808, 0xc1152259, 0x304aa8d3, 0x499ea1a5, 0xfc3a292d, 0x0d41fb26, 0x2f8c63ab, 0x464589da,
+    0x8fb3b418, 0xc892e949, 0xdf07a3cd, 0x5885cc4d, 0x5e3230e6, 0x5d29a6a4, 0x85c1f2da, 0x94196ba2,
+    0x548842c0, 0x692972ed, 0x105cb05e, 0x84914080, 0x843545b6, 0x337f18af, 0x879b174e, 0x9a09a569,
+    0x101d60d5, 0x73df490b, 0x9f599b82, 0xd9208298, 0x16d766c0, 0x42b2d6d4, 0x3db49e12, 0x0acdf6ed,
+    0x44767302, 0xf08df7d1, 0x88a62792, 0x953e5f81, 0x4b55f8af, 0xe88b0740, 0x58019c6d, 0x7ad42fcd,
+    0x4d5d5161, 0x0def2b75, 0x4301d978, 0xc9d56ad6, 0xcefc74fb, 0xf37588bf, 0xc653d20e, 0x0e108451,
+    0x90ebbff6, 0x50060486, 0x4bd21e37, 0x03815de8, 0x63dc1e67, 0xe4d21701, 0x27b90982, 0x8d1d039c,
+    0x4d696e3f, 0x1d35ce28, 0x0db4b7cb, 0x7f2f44f1, 0xf176a2c4, 0x9837a366, 0xe279fb31, 0xf2941d85,
+    0xd5d65899, 0x1aba41ff, 0x2324589a, 0xd2dd20c2, 0xbff31385, 0xcff3c534, 0xaf43186f, 0x4ec7d161,
+    0x44394150, 0x3561060e, 0x4d6030a8, 0x0f81e396, 0xea878650, 0xb3183f2f, 0x737897ba, 0xeb092bea,
+    0xd99e3bf6, 0x1ae1bf9f, 0x3b5d4c43, 0x2ccce1d3, 0xa504531d, 0xa027f56d, 0xf336550d, 0x42b10629,
+    0xcf953eaa, 0x3afdad36, 0x356ef619, 0xf011022e, 0x5f96fe07, 0x5804ac7b, 0x8a12312e, 0x911d1573,
+    0xf641e60b, 0x93af49c2, 0x7678e062, 0xbd46af4a, 0xa732ab35, 0xf9ab1862, 0x5396311e, 0x786275d1,
+    0x8fade012, 0x6cb52dfe, 0x2cec5bc8, 0xda551f40, 0xd20fd0f2, 0x1f263203, 0x56af0148, 0xbca351e0,
+    0x03d115b2, 0x42af4ef9, 0x0575e161, 0x84ebb2e2, 0x5a3828a2, 0x9eed2cf0, 0xb29807b5, 0x584b0492,
+    0xaba5fb83, 0x3827d50d, 0xf24b778c, 0x196afb6b, 0x38e6d28f, 0xc4c758e5, 0x4463e77b, 0x26654c5f,
+    0x013b7bf3, 0x0e689898, 0xad01bb44, 0xe9e48a40, 0x00370298, 0x00d8401e, 0xf837ddd9, 0xfb7398c6,
+    0xcf11c253, 0x1a1e797f, 0x7d6569c3, 0xa3da7161, 0x901f2247, 0x13c4e99c, 0xe2019b86, 0x343440e0,
+    0x22a1d855, 0xb882b0de, 0xf7af138a, 0x30f962a6, 0xba86b496, 0xd43bff56, 0x4f1dc37c, 0x41b41950,
+    0x38a32ad6, 0xffc7264d, 0x5ff174ed, 0xc74ddd12, 0xdb243b4d, 0xcbf099c0, 0x0eac0b00, 0x615a6ed7,
+    0xb7eb3287, 0x43196605, 0xea098689, 0x8fb82514, 0xf81c6d1e, 0xccf97581, 0xa83ff1a4, 0xa1b19ee7,
+    0xe4cbb82d, 0xb0ef05bc, 0xa526154b, 0xd4ae158e, 0x59d434ed, 0xe91b5086, 0x2dde2c52, 0xae4d6848,
+    0x4cd43179, 0x5203ee8a, 0x342fb488, 0xdb44ef9c, 0x97d0bb81, 0xc76a0695, 0xf8357cb8, 0xd2486c61,
+    0x69252182, 0xdb8fd3d8, 0xf2445738, 0x5453e96b, 0x45f83db7, 0x8e70a3e8, 0x73568cba, 0xdc30abac,
+    0xef84b639, 0x29716879, 0xd12e04c8, 0xb37a8eda, 0xc1e3f6fe, 0x9e464b2b, 0xd7817ced, 0xb2250a06,
+    0x1ac4caa0, 0x412c9c29, 0x382d317a, 0x043cf68c, 0xfb5db073, 0xbb1f0e4d, 0x09d7516a, 0x726f12ee,
+    0x2b50f06d, 0x87b23785, 0x860a1235, 0x0eb90ac7, 0xe219a887, 0x874315fd, 0xf096c2de, 0xd92718cb,
+    0xb6ec02bc, 0x4f8b56e3, 0x7809e58d, 0xc0b23d40, 0x6dd8b656, 0xad50ee57, 0x3e9b1a00, 0x03823277,
+    0x4c4ab7f7, 0xc3594357, 0x9276c189, 0x97f59bc0, 0x887957bd, 0xf2d623f6, 0x8fb5c69e, 0x8695a869,
+    0x845e3b7f, 0xb7778f58, 0x43db5bc4, 0xa895fc70, 0x0f30a78c, 0x5c7f1758, 0x17e56e6a, 0x6142f1ba,
+    0xb05c5409, 0x32b2ca07, 0xb822efa5, 0x4d339ccc, 0x4d6cd68d, 0x3be8985a, 0x42a18bb4, 0x5928706e,
+    0x2ec83a71, 0x17e8986d, 0xcf751db4, 0x33482762, 0xd9a9f9d0, 0x3fd906f9, 0xf1ce5aaf, 0x07bd3f9c,
+    0xc21ec625, 0xcbf77c79, 0x261782a0, 0xc221f3ca, 0xab3a3099, 0x3fcadd8a, 0x69056b19, 0x8f8d919b,
+    0x8c11eea1, 0x95476424, 0xa560f27f, 0x483f4dac, 0xd325f974, 0xb7840566, 0xd71df0df, 0xd1a12e9b,
+    0xaa06d864, 0xc58e9a2b, 0x30cf2359, 0x604aac9f, 0x5c2dfa05, 0x3572e981, 0xfbb564bd, 0xce0da587,
+    0x4cc9dfca, 0x2108c548, 0xf87f4e8f, 0x48c0c5ce, 0x61da9e13, 0x0b7641da, 0xca300b22, 0xdb18f576,
+    0x44c67da2, 0x187603b4, 0xa2f015ef, 0x4f200779, 0x9d59a81c, 0x141fc392, 0x14600560, 0x2b7ab3f4,
+    0xd0cad330, 0xdf2151a5, 0xb5ad4ed6, 0xa741768e, 0x8a586508, 0xf89afda7, 0xd61486cf, 0x8b35a9cd,
+    0x0f9a6263, 0x10ea991d, 0x18e8c9d9, 0xead351bc, 0x07bf5b8d, 0xbf8f89bc, 0xcc70fe35, 0x6872b936,
+    0xe6b0dd0e, 0xdb178a32, 0x0835d678, 0xd5900c58, 0xbad09348, 0xaabdf153, 0x9352f484, 0xea4530b7,
+    0xfe214c97, 0x1639c375, 0x04e5029a, 0xb1f3b26c, 0xd6f8530d, 0xb460a132, 0x2218e28d, 0xa1a13539,
+    0x4349f7bf, 0xcc9b467b, 0xc671f954, 0xc53f8530, 0x48d91e90, 0xdb6bf2fb, 0x8a4877a6, 0x7fd04a79,
+    0x5d4a5cf2, 0xd5b30825, 0x6b325e2a, 0xe25a8ed0, 0x0d0beff1, 0xaf466f07, 0x4683f87d, 0x43e69f57,
+    0xd6d7b6fb, 0xd3d7b4c4, 0xf12209ff, 0xb9b13430, 0x8c7d020d, 0x7a386127, 0x8b62ea3c, 0x72d74305,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000019807040628566084398385987584 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a80, 0xdb6a047f,
+    0x00000000,
+    0xa2f2af18, 0xf0070504, 0xa31ffa77, 0x13cbbff5, 0x108d840e, 0xf9ba78ff, 0xf2e42321, 0x88a87f81,
+    0x321c0888, 0xc7ef452e, 0x28342792, 0xeba9650b, 0x4b676f0d, 0xb3f4f429, 0x04aa10f6, 0xc1abd660,
+    0x4703a703, 0x73928ce2, 0xe29796c0, 0x5827d7f7, 0x7c2a1e4a, 0xa9e5ea16, 0xaa1fac00, 0x6f09b16d,
+    0x70fd5833, 0x56181b80, 0x8a3bd0d8, 0x40aa9abe, 0x961ba7e9, 0x65e92496, 0x6cea25a7, 0x61f90aea,
+    0x147581cb, 0xd1a0aafb, 0xc1dcc1e2, 0x94bcc166, 0x866c3a0b, 0x066f5230, 0x2a081f03, 0x2d90a54c,
+    0x7603b95b, 0xc6987ed1, 0x2c1700ca, 0xf092accf, 0x7e4c758a, 0x1e04efde, 0xcba2cf53, 0x56fd4399,
+    0xe5e15047, 0xed3dcbd9, 0xc537ac88, 0x9b608f95, 0x8a9bac86, 0x0ca4355a, 0xfb21e951, 0xd1912e3f,
+    0x37606c22, 0x2f94b740, 0xd6f21946, 0x8016e9ea, 0xfdc5d5a4, 0x858d54fc, 0x31b45bb7, 0x8c16ec49,
+    0xfca91b7c, 0x06bf138c, 0x33df7d12, 0x80059a38, 0x480403f0, 0x6b8f4aaf, 0xf32770f7, 0x7eddd7e5,
+    0xce4fb33d, 0x824f5e64, 0x7afd26fb, 0xd7323dad, 0xfbc476f8, 0xef3fd185, 0x726f1a9b, 0x3eaff56b,
+    0xe028d583, 0x2d362c07, 0xa909692d, 0xf4b3e80e, 0xac663ff7, 0x27363bee, 0x18ed6b9e, 0x497f19b9,
+    0x2ad08710, 0x38baee5a, 0x220d56d0, 0x2691c5c3, 0xe5b4b633, 0xa012e3d3, 0xb1c123bd, 0x5f3df33b,
+    0xda46119b, 0x1631eccd, 0x2c94e66c, 0x49bfee5b, 0x59e81237, 0xd5aacb8c, 0xa71074db, 0xd216dc56,
+    0xc2bfc290, 0x1b7c3e5d, 0x20808ffb, 0x66bf0459, 0xa700d5b1, 0x7e9d7bac, 0x860ae0cf, 0x59eab9e2,
+    0xa30c5039, 0xc6b5149e, 0x2458e74d, 0xb9e1d756, 0x5c66bedf, 0x1bcb23a8, 0xab1c5be4, 0xa801b235,
+    0x0a835693, 0x8db09f3d, 0xc9970296, 0xb0a640c2, 0x381a91bf, 0x2089f04e, 0x7df67cfa, 0x7aa3107c,
+    0xa42f46d4, 0xebe45161, 0x74d684dc, 0x52ea2362, 0x6acc8fee, 0xb5949ce8, 0x9ae0556d, 0xf5746ea3,
+    0xc3bdba9e, 0x0ffb4302, 0x7a9ee699, 0xccc73b08, 0x40f9d005, 0xe6aebcd9, 0x28301622, 0x4adc4ae6,
+    0x5f06ddb5, 0x5677f813, 0x034fbb6e, 0xd90af5a8, 0x5144858a, 0x04139da5, 0x8635fa57, 0xd3845324,
+    0x918c70a2, 0x1e93464e, 0x51063852, 0xa4681e95, 0xe950fe4a, 0xa7586aec, 0x45668f33, 0x5e899fd5,
+    0xec12ca47, 0x8c9159e4, 0x1e6814b8, 0xd6656c77, 0x2a5bf743, 0x888d2c3b, 0x866a464c, 0x7a36a3cd,
+    0xb526e002, 0xbe4c6bdb, 0xe7e333a1, 0xcea86015, 0x674b81fb, 0x395d51e8, 0x91dc3365, 0xdbf3e7a3,
+    0x3fc35b18, 0xb2e50f14, 0x99c65c55, 0x5982c380, 0x6ac26b5e, 0x785e44e0, 0x567667ab, 0xee4f3be7,
+    0xaadc116f, 0xd09ff2a4, 0xd49198ac, 0xfa48655d, 0x022d6579, 0x7d68a30f, 0xc4663dff, 0x1b22221d,
+    0x156189f5, 0x28a92c5d, 0xb5882c33, 0xba335fa9, 0x86864c88, 0x06339f30, 0x2dd8fd4e, 0xa09f50f2,
+    0x7aa1599b, 0x06ad578e, 0x114f3e24, 0x3705d656, 0x3860a91e, 0xcd526cc1, 0xa14c22bd, 0xf474c377,
+    0xfc5a04b1, 0xa1e0806f, 0x4e62257f, 0x8d437a14, 0xf7b50a32, 0x022cc6e6, 0x89e77ee5, 0x58190d47,
+    0x1ab73b52, 0x99f70f74, 0x51f8b071, 0x60bc184c, 0xa7bd8a5f, 0xc9b6c8d6, 0x202b80ed, 0x47780481,
+    0xa936a9ca, 0xf891aeac, 0x8c5789bd, 0x85d9e382, 0x08c774a2, 0xfadeb040, 0x7a2d1163, 0xa72b7677,
+    0x2322ee81, 0x6739d006, 0x2449bb2c, 0xe4e89602, 0x0cbf61c5, 0x56eab656, 0x21e49cd7, 0x398a8791,
+    0x33061d79, 0xfdf8499c, 0x83e99db3, 0xaa346403, 0x80fa407c, 0x1919fa8e, 0x6747b0f0, 0xa1c1462e,
+    0x580a3c1d, 0xc4d3119f, 0x1abeddaf, 0x92833ade, 0x17d03890, 0x07eddde8, 0x569772ea, 0x55da6c3c,
+    0x31d48bed, 0x7d057bbf, 0x430eb6df, 0x404c053b, 0xaefd5ec3, 0xb8401533, 0xcd7a70f4, 0x41c88ddc,
+    0xfed925c6, 0x6b9dee11, 0xc5be93ec, 0x26f1c604, 0x63c26d4b, 0x91ccef54, 0x5daa9160, 0x5c31d855,
+    0x18890e6b, 0x2b7cde24, 0xb55cdfed, 0x94321a19, 0x77d4d487, 0x734489ed, 0xe3d08350, 0xea361359,
+    0x3749ecd7, 0x235ced7b, 0xd26e4b06, 0x0871ae10, 0x06632d94, 0xed392d99, 0x5ae39bae, 0xcaa03d1a,
+    0x352c52e9, 0x88b02969, 0x6cd1b3b7, 0x425f3ac0, 0xe45eaecd, 0x677a3f14, 0x42a9c253, 0x7afd56cf,
+    0x558403ae, 0xece2be4d, 0xa71087d5, 0x61f7bfbf, 0x2975beb1, 0xbf9d6645, 0x0c90ef39, 0x57dda992,
+    0x3fc47076, 0xf696c54c, 0xc9e53504, 0xe100d79f, 0x716267d0, 0xf3c0ba83, 0xf97e308c, 0xa2a52068,
+    0xff6ad180, 0xef8c2c6a, 0x2ccfe5c1, 0x1fe69453, 0x91bc7a32, 0xcd01c704, 0x36dd11d1, 0x11c47a78,
+    0xf20e67e1, 0x728bc151, 0xa5d10e57, 0x9e28d615, 0x737a91ff, 0xc1a59712, 0xfa51eba2, 0x27423436,
+    0xba8e5e0c, 0xfc2bee62, 0x749f2986, 0xdd0e41cf, 0xf017af26, 0x86a48af8, 0xf73e06e3, 0xe1b70bef,
+    0x2c4ce399, 0xb8983271, 0x7b244548, 0x41e9c98e, 0x4bf6801c, 0x708f218c, 0xe95dbb48, 0x4a5c5761,
+    0x86eded06, 0x1d077595, 0x9337040c, 0x1ed34b5c, 0xce59a14d, 0xecc78098, 0x09a3d36a, 0xe83c0888,
+    0x58ba9ba6, 0x41d03761, 0x955a56e3, 0xfb98e4ef, 0xc4f76fbc, 0xed158012, 0x1cce61dd, 0xc0dfc29f,
+    0x729efef9, 0x89f88e18, 0x89fc8f91, 0xc4464a35, 0xbd4dbf33, 0x22d73855, 0x35d063d7, 0x9482a39d,
+    0x60c17c0e, 0x14bf88d2, 0x61d07a2c, 0xa0690a19, 0xa681aede, 0xc2b20ad9, 0x9377f8f6, 0x6f49194b,
+    0x84aedd64, 0xb4b1631a, 0xc47bd8d5, 0xb757ce61, 0x527fe347, 0xd65e05f0, 0x2b25687b, 0xe08ce136,
+    0x09d9f1dc, 0x8e6ee864, 0x6e5f771a, 0x6ecfc994, 0xf594850d, 0x85f1e5e9, 0x3ca252c3, 0xcc006ad0,
+    0xb398281c, 0xdf70c59a, 0xe124afd0, 0xab4ff353, 0xb41b4dcc, 0x72d725a4, 0x83c803a5, 0x4992f99d,
+    0x8f6ae5d2, 0xe896b6da, 0xd21b78e5, 0x294ed8bf, 0x009fa968, 0x3cdb7845, 0x91d55cae, 0xcc0ddb85,
+    0x0a0f7a39, 0xa83da8a8, 0x290f97b1, 0xafbd8650, 0xc6a6264d, 0xe3ee7e6b, 0x965f0163, 0x1833837e,
+    0xba35d692, 0xc2f52ecf, 0x900c2b24, 0x8b76962a, 0x5bbd9322, 0xa56444f8, 0xfec62509, 0x7695940e,
+    0xb56cbb89, 0xc713a423, 0x432d4b87, 0x063666b8, 0x795377b1, 0x72032b01, 0xbf122983, 0x8ec3e114,
+    0x6e1daad3, 0x25dd9baf, 0x25291177, 0x302dd96f, 0xe82f13ec, 0xb02b9428, 0xfcf9f3fa, 0xc3b040fe,
+    0xf59e549e, 0x6ad45f2d, 0xe14d815b, 0x3731dacb, 0x9168e296, 0x41d8ef40, 0x35aed476, 0xf55c6b53,
+    0x235a2b19, 0x3c80e8dc, 0x8c93e4e1, 0x2ec9dac2, 0xa19a4d6b, 0x2a4a8193, 0x08237dfa, 0x29d69205,
+    0x7bb84709, 0x6b6a85eb, 0x3ac15a17, 0x58998fcd, 0x066e3d71, 0x41c6125b, 0x0a0f2b8c, 0xf96d504d,
+    0x0e72f79e, 0x62a74ecb, 0x51b09626, 0x24bf40a4, 0x65a8bf44, 0x594b28f3, 0x31a5f46f, 0x3d14bd0e,
+    0x279a13a0, 0x7bcf1120, 0x17776162, 0x76afe2ce, 0xe7243ccc, 0x941bcd51, 0x0847b286, 0xca598e74,
+    0x18ce962e, 0x2838eeb2, 0x5f058c84, 0x4f228844, 0xb00cf072, 0xcb373516, 0x1b3b95f6, 0x3a775fde,
+    0xd3747217, 0x49f18733, 0x62d170e5, 0x0ef7784c, 0xe71e98d1, 0x3908161c, 0x2acd319b, 0x35bd0b4f,
+    0x8b754b3c, 0x1ef81a8c, 0x1716268d, 0x7d25665f, 0x1f3cc8dc, 0x406ee730, 0xdd2db3ae, 0xe82ec5ae,
+    0x1ea6ce6c, 0x111b9d4a, 0xd9affde4, 0xa2e2149e, 0x54265d1d, 0xa6bc6116, 0xff44649c, 0x5daed00f,
+    0x547e66ec, 0x845a2b2d, 0x5d7cc288, 0x0aeead89, 0x5e77a3b7, 0xc481e874, 0xa4834d38, 0xd1f9f8a1,
+    0x3f645b47, 0x4b8f9398, 0x0199fbb9, 0x9c6c3b09, 0x699280e6, 0xc7d0671c, 0xbe1e1753, 0x28dd5e99,
+    0xbdbc9859, 0xf9d5710c, 0xbcfbc8c3, 0x0d58a5cf, 0x192044be, 0x3bf6991c, 0x80ddb4c4, 0x45fe26e0,
+    0x5969cc4e, 0x408c0a66, 0x5c4c0aeb, 0xc6cd3833, 0x8012c4b6, 0x1946233e, 0x1d6eb91d, 0x640dcbdc,
+    0xb41be469, 0x5136999b, 0x61f4a855, 0xa733762c, 0x95af78f8, 0x3db34be6, 0x969194fe, 0x48d79b32,
+    0xca1a2a72, 0x9d0e707d, 0x6fccdbf5, 0xd16c6a4c, 0xe58c11a8, 0x57823e7a, 0x7b92ad86, 0x833fb453,
+    0xab7e91af, 0x85ad8a2a, 0x4330ee4b, 0x7272c081, 0xd0218a45, 0xf160d205, 0xcc20b3c9, 0xf558fc20,
+    0x810169b3, 0xa71ca324, 0xab8333e6, 0xf11eb689, 0xbc456b17, 0xe252ba23, 0x28fd2657, 0x04550f00,
+    0x6f0f059e, 0x08357e40, 0xba22e472, 0x69eef7e0, 0xd8e47760, 0x991ff7f4, 0x272afd7d, 0xc898eb66,
+    0xcca7f518, 0x481b64b8, 0xc1376af8, 0xbdc1530a, 0xfcbd9ca9, 0xc4a83532, 0x37a741e9, 0x60e167f6,
+    0x06284c51, 0x294a65db, 0x3a19b562, 0xbc22dba3, 0x46d01c8f, 0x72397b8a, 0x510f9ae8, 0x146bb13e,
+    0xf6d7d556, 0x86dfa5d7, 0x1958c85b, 0x244c20bd, 0x36bc68ed, 0x1daedc31, 0x754db715, 0x7a4b8fa4,
+    0x8972c276, 0xf62d15cf, 0x2c0c2a3b, 0x4b262770, 0x72fc63e0, 0x65575bb6, 0xfe875fab, 0x9b7b5ea7,
+    0xd3e296bd, 0x5bb6ffe5, 0x8d6e0ebb, 0xe9a83937, 0xea3d9919, 0xe72c8ce2, 0x8f4aaac9, 0x660c93d5,
+    0xbf8485c5, 0x8d187922, 0xf3ca9c1d, 0xa3166861, 0xb4dc856b, 0x6cd0fd81, 0xbe22ac88, 0xdef4d506,
+    0x270e2692, 0xcfda8306, 0xa051d89b, 0xaf2174e6, 0x89c71b21, 0x5675b6e3, 0x2607b60e, 0x62c7c43f,
+    0x247f4398, 0xe0a104bd, 0x0217b649, 0x9d09bb61, 0xbd5d20d7, 0xb0d4805b, 0x38c34199, 0x2f3fb970,
+    0xa85c9072, 0x81324d70, 0x7ddba5a2, 0xb9f34054, 0x66823954, 0x6fce7df3, 0x00152176, 0xf14848e3,
+    0xe688595a, 0xa56a14b0, 0x82829e6f, 0xcaccd706, 0x2ff89808, 0xaffe91e3, 0x618a24da, 0x6e769fcd,
+    0xa3aa0114, 0x69100029, 0x804f082f, 0x5c4a2b89, 0xb7610c14, 0x546c1b82, 0x3947a3b2, 0xe67a933e,
+    0x6b657e8b, 0xb739dac5, 0xff6b9200, 0x33a5ed12, 0xc36152aa, 0xf8ec7315, 0xbfaa65b9, 0x9650d3ac,
+    0x5b56eee3, 0x5b7aa25a, 0x77019642, 0x95cca948, 0x1287d3a9, 0x2ab724bf, 0xe5917273, 0x1278403a,
+    0xb7c307de, 0xa41a5ad9, 0x587152d6, 0x5dae17d2, 0x31a9cadc, 0x1fb356c5, 0x44e98832, 0xdd8993ae,
+    0xc3eeb57e, 0x51746f5d, 0x95931b7d, 0xab4b23df, 0xa928552f, 0xa84e83f9, 0xd9970333, 0xa33835f8,
+    0xea8f0098, 0xc4c5822e, 0xf4dc14db, 0x51048f88, 0xdb83acc0, 0xc4f6d169, 0x1239802d, 0x99717518,
+    0xfa72e150, 0xffe50bfb, 0x4c0eab32, 0x6cbc1da1, 0xf97a0144, 0x0fed2b4b, 0xafdb97ad, 0x569ee83c,
+    0xb4db62d4, 0xeeb04fba, 0x7516ad1e, 0x8c447c85, 0xdd475449, 0xb91635dd, 0x6ffec685, 0x25cc3f19,
+    0x98a35f70, 0x5ab628d3, 0xe123d811, 0x5116e824, 0xf0b42509, 0xc917cb72, 0x4f1518e5, 0x42dede5c,
+    0x20cff6cb, 0x85478713, 0x7d4a81b9, 0xe94b4429, 0x16e0fbda, 0xd99583dc, 0xa4a5348f, 0x809f2b47,
+    0x85a4c9d6, 0x8621f5fc, 0x378119b5, 0x43060164, 0x9a96639e, 0xfba7772a, 0x9ae8465e, 0x249e7b2b,
+    0x8658c156, 0x9465709b, 0x958edc11, 0x37480c7c, 0x0cb74a33, 0x7b15bb28, 0xc689d349, 0x583705a7,
+    0xd142a00c, 0xb99f3a92, 0x744a515b, 0x46351446, 0xa6ab94ec, 0xf7e60270, 0xc34bdab0, 0x6b2d7c65,
+    0xbd3d4520, 0xd2d82721, 0x539aedf7, 0x4f1a56fb, 0xdb6c5c47, 0x9480987a, 0xb8873d5f, 0x19f12308,
+    0x9dc5414c, 0x48f9c36d, 0x6b3590eb, 0xd284e3d5, 0x86fea66b, 0x45620d7a, 0x42c35559, 0x9a5f3c30,
+    0xe57a0185, 0xc06e9253, 0xad38fc91, 0xde01cd73, 0xfe09f0bc, 0xdc70a1ab, 0x2147438d, 0x3b4b58ef,
+    0xbfdd2a27, 0x7e5712b8, 0x10f1ec4c, 0x7d86fe5a, 0x42c03ab6, 0xd7d7a733, 0xb0c82a3c, 0x5acea929,
+    0xb90c269e, 0xa48d6943, 0xd3a54375, 0xab84dad6, 0x941079a1, 0x6f84c4a0, 0x3e11920e, 0x401ad1ea,
+    0x7cf8da3d, 0x2a1a0235, 0x62c76e44, 0x7a6e8080, 0x67e06c2c, 0x3e80c061, 0x0f1b1977, 0x7df871b0,
+    0xf6ed54af, 0x329f46dc, 0x48a8c21a, 0x4cdf36a0, 0x16138952, 0xf737f610, 0xed227613, 0x74b9dfbc,
+    0xaa331bae, 0x35999bfd, 0x74d9aa77, 0x2b7c9d22, 0xf8948c3a, 0xf17c413e, 0x3c75165b, 0x240d69a0,
+    0x56f85631, 0x79381622, 0xcd5b5488, 0xf3a7d7bd, 0xc45442f0, 0x5f9996d4, 0xbbf70b58, 0x307c4d51,
+    0x4a2166dd, 0xa2ec4660, 0xfb636efb, 0x5a3bfa08, 0x2f30f4e8, 0x499f7ac9, 0x9107c35d, 0x4321e901,
+    0x9b386564, 0xf1eb99fb, 0xfa49d3cd, 0xb1d2afa0, 0x9d3d2246, 0xf02f4037, 0x160e378c, 0xcc4cc2c4,
+    0x3ae0e639, 0xf0ab82e6, 0x47585c9c, 0x91c6f5e4, 0xedbcdc48, 0xc8a8fa95, 0x9efb3414, 0x4c41aedd,
+    0x2f1dbbbc, 0xa0f8a48b, 0x8298a5fe, 0xfa985c0c, 0x9002ee39, 0xe09488b9, 0xfc4929a3, 0x4c56e178,
+    0x2934c162, 0x17784913, 0x26b5a2a8, 0xa5294ac8, 0xcf261074, 0x2651854e, 0xbae5a1cf, 0xa060d1a4,
+    0x3956c31b, 0x668eb13c, 0x56758549, 0xe3c3e4d2, 0x5980420a, 0xb433cc5e, 0x89499f48, 0x3d6d5a1a,
+    0x25d5d54e, 0x7a7f6e7d, 0xc06a9bf6, 0x41340e58, 0x5b556a79, 0x46269503, 0xda168805, 0x7640ae7a,
+    0xdf15024f, 0xd9ab1462, 0xfa87ead7, 0x66b7de63, 0x6c0f5819, 0x944f2369, 0xfe71534a, 0xc5ab58b4,
+    0xa1a23710, 0x9dbeca60, 0x9763d35f, 0x2bde27fb, 0xc270d2c7, 0x76673b6b, 0x2208004c, 0x50ca64a8,
+    0x399b02f6, 0x0da9612f, 0x43cd092b, 0xf38da1e7, 0x11cb8b1d, 0x0a6fce88, 0x22727aec, 0x6fd3b240,
+    0x544d7ebe, 0xcea87a10, 0x4ca505d1, 0x5e9a5961, 0x4df3801a, 0x57b48641, 0x8405f5b4, 0x29c5ba98,
+    0xa977b61e, 0xdc9161ac, 0xc6197860, 0x291196fc, 0x4fedaedf, 0xf7ff17c4, 0xe1eb4a35, 0xfa41279d,
+    0x0466bdb2, 0x33711b27, 0x19f13db2, 0xd7239b16, 0xba1f4820, 0x699edf91, 0xc3038648, 0x1fb43ba8,
+    0x99c5139a, 0x9e9578b1, 0x8a5fafea, 0xf52bac54, 0xb3ab4b7e, 0x0c1a83ec, 0x21ae3f80, 0x6701a9a6,
+    0xcac20fc2, 0x75c8c10e, 0x252d2574, 0x66ae4619, 0x2d93248f, 0x4287471e, 0xe7f2b9e2, 0x8c15b0b8,
+    0x87f38ad6, 0xea1a99c0, 0x54dfef70, 0xb64a45f6, 0xeef3eeb3, 0x9a2fd8c0, 0xd7263510, 0xfb49859d,
+    0xb1d866f3, 0x4836dd6c, 0x9ee44850, 0xdc5b5bd9, 0xf3f02739, 0x418d38cb, 0xd58e0491, 0xd4e2b5b0,
+    0x4c8a6bef, 0x8cdec663, 0x0f5b459b, 0xfe4c9e87, 0x696c7bc6, 0x500a4791, 0xe9e0ca92, 0x41a76a3a,
+    0xbb67d187, 0x9034045c, 0xe884d716, 0xc2564fc2, 0x9685b631, 0x4871e50a, 0x07cf6c6c, 0x450e4022,
+    0x7fcc2fdb, 0x208eb6f7, 0x681a2583, 0xf91fbe65, 0xff110490, 0x3890ba29, 0x2d6fe323, 0x9ee88c43,
+    0x35f906c9, 0x94d54efc, 0x426dc0a1, 0x90b09090, 0xeb41139a, 0x8fea6d4c, 0x872964d6, 0xec5ac705,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000009903520314283042199192993792 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d40, 0x6db5023f,
+    0x00000000,
+    0x906bb3c4, 0x2e081641, 0xad3933de, 0x2a74ec4c, 0x9230129b, 0x1db74bda, 0xfc6fd96a, 0x05a8918c,
+    0x138c6bc0, 0x1cce2212, 0x163d1782, 0xc0a28b36, 0xc8dfeee7, 0x1c76bc3f, 0x4a89b5bc, 0x6502701a,
+    0x5b66a227, 0x3a1d47b9, 0xd10d266f, 0xfe8b4607, 0x369df9fb, 0x27351493, 0x77be1dab, 0xd62f9888,
+    0x47d719c3, 0xa6ef3021, 0xfa16af39, 0xa41ff5c3, 0x8266f648, 0x56aa856a, 0xaa2bed2a, 0x4b844f82,
+    0x97357bad, 0xed61ab82, 0x5eab206d, 0x4b18d154, 0x4af87946, 0xaf3d2b96, 0x73d5c04f, 0x56c7b9f9,
+    0xcf2edbde, 0x25ca0648, 0xc1467e70, 0xbcb0c29f, 0x812e3510, 0x945fcf94, 0x23e695e9, 0xa2251ab6,
+    0xc3618d6c, 0xa9ec3f7c, 0xad04f0b8, 0x36d15857, 0x1964720c, 0x3b283a27, 0xc79fb43f, 0x94fd00d3,
+    0x5c2e6e7c, 0x5c034a85, 0x2330a544, 0xdc3e241e, 0x31a7d0ba, 0xe2c4ad7a, 0xcaf652f5, 0xe755d9ca,
+    0x57acd260, 0x77d4ae12, 0x0a44e759, 0x6435b501, 0xd36a5801, 0x5574adef, 0x1c3d0cd0, 0x53e26392,
+    0xee246ed2, 0x7f72d32b, 0x4bf7014c, 0xbf4e977f, 0x069b856c, 0xba869e33, 0xe7970102, 0x060996fe,
+    0x65b9d527, 0xfb357754, 0x75dd717e, 0x0c235e91, 0xdf17eee2, 0xf4007552, 0xf1118a34, 0x49f274fa,
+    0x635d123d, 0x7c7af507, 0x51eb83ba, 0x81b8c868, 0x47c8de10, 0x8dabb2bf, 0xff426a6e, 0x3091196e,
+    0x1082e71d, 0x80db32a0, 0x21757f8b, 0x3c1c14c8, 0x350c329f, 0xe9455bc6, 0xd894fcff, 0x576cd186,
+    0xdcf40df9, 0xaca1e3ca, 0x5255d1bd, 0x8e00f423, 0xabe8da5a, 0x583e0d1f, 0x6f5f8fc9, 0x87465db8,
+    0x1cf48a98, 0x374e0d77, 0x2e531e3c, 0x120957f8, 0x4f5a3bb6, 0x3b48db9a, 0xebbb093e, 0xfed896c3,
+    0xa1aff10e, 0x8f8e9442, 0xdeb4f151, 0xc1dc24ab, 0x5cfa2bd4, 0x3e42da3a, 0x4639f71d, 0x284a5623,
+    0x4f9109b7, 0x58c117f9, 0x7f7fd32d, 0xdbdd9ea0, 0xb18c3ad5, 0x5c4ace82, 0x61f5c397, 0x09ab9d96,
+    0xc51dbb34, 0x2ba1601d, 0x94b11994, 0x6e0697f6, 0xe77b7546, 0x35ee7bb6, 0x7938ab15, 0xa9892ce4,
+    0x3d2057e7, 0xd28c4d70, 0xa7927a38, 0x23b4e0e4, 0x78ee97bb, 0x60eae42f, 0x230c4e2b, 0xf6b21d92,
+    0xc45dd3ae, 0x09c1bd98, 0x8573b875, 0x9ae78002, 0x7e5c2668, 0x3250e560, 0xa71e727b, 0xb9af2656,
+    0x0d083f70, 0x108cf0f8, 0x14c6e7c0, 0x5221d9c6, 0xe2e03d65, 0xcb7f043d, 0x1fb8ebf8, 0xdb4be6da,
+    0x1ab658c3, 0x15c27cab, 0x32afa328, 0x44ae3d95, 0x735f8629, 0xa0a8d2fd, 0x48643c9e, 0xfb3324e3,
+    0x1bd84155, 0x054c46a5, 0x355a5035, 0x2a236352, 0x33cacff1, 0x5d3699eb, 0x82db715c, 0xb7efc8c4,
+    0x23389b27, 0x666a885d, 0xa875bc92, 0xf86ae513, 0xf3b14f98, 0x3aa0806e, 0x015711ee, 0x38e3d0eb,
+    0x5379d717, 0x500ae8f8, 0x6e752986, 0x13e4e0d1, 0x1148b168, 0x04696af1, 0xb04e2326, 0x0951e5e9,
+    0x7359c750, 0x0af7485a, 0x943ec8c3, 0xfac64b1c, 0x7d08ada5, 0x81169f9c, 0xfb9b7645, 0x792ad31c,
+    0x97318d3d, 0xb1872cf9, 0x35550683, 0xb66e6223, 0xc6b1310c, 0x89268721, 0x7c097e3d, 0x74121d8a,
+    0x6844b134, 0x3ebb8b49, 0x79fdaf61, 0x9c747030, 0x2431231a, 0x0097cb93, 0x6b615fca, 0x7f9fa0f7,
+    0xba276ac7, 0xf0dad628, 0x423403b5, 0x9d519fb4, 0x239af5b9, 0x8d2fc7fb, 0xed2d01c8, 0x3795a837,
+    0xbe39f6af, 0x8c3e8908, 0x1cfc8a87, 0x33766164, 0xd6e07454, 0x005df527, 0x5df2d700, 0xdeb541fc,
+    0xf23693df, 0x84f77c1f, 0xd0a03392, 0xa0a5b54e, 0x2fe1fd32, 0xb7a21ec7, 0xccac2aa3, 0x58da3e71,
+    0x63b49454, 0x9422350c, 0x768d8c5e, 0x7424779e, 0x6a5ce01f, 0xa91913b2, 0x9cad5211, 0x058b9edb,
+    0xd8c176af, 0x8ff2c433, 0x873b7c2f, 0xe7e92893, 0xb310644d, 0x36ee6304, 0x5be3f784, 0x8734d874,
+    0x1795fc51, 0xaa689f54, 0x1f883b33, 0x3bdba49c, 0x0bff35de, 0x61a6bb3e, 0x942f391b, 0xf3804a89,
+    0x18b3e6b7, 0xf3fe9695, 0x48b64a16, 0xd99049c4, 0x30d32269, 0xbceb802a, 0xa9ecd131, 0x3e63f83b,
+    0x62dcf942, 0xf9d2d7c7, 0x1dfcb1ad, 0x044f9ffe, 0x7263a684, 0x9eefd78d, 0xda6cc6b1, 0xa57f9238,
+    0xfa0e9c3d, 0x629ad9a5, 0xf7874ae7, 0xebe0277e, 0x5907294b, 0xad601a62, 0x287d8fb7, 0x6b81ac91,
+    0x08923962, 0x545cabfd, 0x527a7fec, 0x72880d5d, 0xf7491255, 0xe7f5d3ca, 0x6ead7615, 0x872dafd4,
+    0x07d663a9, 0x83d42566, 0xecaacb80, 0x8122ddf8, 0x2baf0bf7, 0xb69f03a8, 0x37fc12f5, 0x10da4af3,
+    0x0c5244ad, 0xc0fe91a1, 0x31adeda4, 0x2a78ad75, 0x824dc921, 0x3222edb3, 0x113882c8, 0xcf7f1164,
+    0x432ab754, 0x6e965367, 0xf4638a35, 0x4e894ead, 0x4765b61c, 0x810e497e, 0x869bdd8e, 0x543487d3,
+    0x66502f24, 0x39623549, 0x36b8a3e9, 0x5ccbdaf5, 0x42f9e401, 0x90bcf736, 0x9ead2fed, 0x608cff62,
+    0x95434675, 0xcce58aa3, 0x391f12dc, 0x438c2f8a, 0xd2224341, 0x62888709, 0x7ce50e48, 0x4580f8b5,
+    0x8f1c5f28, 0x9da5fd7b, 0x08cc2c11, 0x2cd02561, 0x7ffb5dff, 0x855834a8, 0xa6fcc9cc, 0x2b9c1920,
+    0xc0cf5df6, 0x156bfea0, 0x456e0a81, 0xb5a4d284, 0x5d047b38, 0xe720c3e3, 0xb59bf1f8, 0x3ddd5f63,
+    0x9c2dd90c, 0x88a79b67, 0x84c3b291, 0xe819ef1f, 0x7e3a95cd, 0x72a5fb96, 0xfa44fe1f, 0x94709d2a,
+    0xc1689dfe, 0xd029d5ba, 0x1897488a, 0xe5e24656, 0x46c8bcb7, 0x978c229d, 0xea41e11c, 0xee909c00,
+    0xe4d85536, 0x1227821d, 0x1a33e929, 0x71e5c8e6, 0x17121a46, 0xac8727c1, 0xbadf2d2b, 0xec8e88e3,
+    0x748047d3, 0xdb0c8ef7, 0x38f4fccb, 0x6d798111, 0xafdacae9, 0xc5204d7b, 0xd082ca51, 0x08266564,
+    0x3fec66c7, 0x4db37da0, 0x7e2d5c72, 0x88073771, 0x9001f87a, 0x7e31a2e0, 0x32db2138, 0xd00f8e57,
+    0x83716a64, 0x0debfc5b, 0xfaaa5a08, 0x5b53f2e1, 0x42b8b856, 0xa94a70b1, 0xece427a1, 0x969a45fd,
+    0xfc651f11, 0x2b8d866d, 0x24149324, 0x15b5e7f8, 0x52858dda, 0x13513e07, 0x64c972a8, 0xc7cd040a,
+    0xba8e3470, 0xfbba1462, 0x64eb5220, 0x610d824d, 0x0d67e552, 0xe6ca0d20, 0x0e0253d0, 0x2da87c5e,
+    0x93c3ebea, 0xc2fd06d7, 0x78c5c50a, 0x1070afc2, 0xb3b1e1cb, 0xb30c9a25, 0x77734b6d, 0xf77953a9,
+    0x2f689717, 0xc5724856, 0xaab548ab, 0xc060e3f2, 0xbaa6a8f4, 0xaa5d981d, 0x33100fb9, 0x3bf1d770,
+    0x5d82ef6d, 0xdf509489, 0x583f5f03, 0x40b90a20, 0x1e774517, 0x97ffab2f, 0xb7613760, 0x59391c69,
+    0x251dbcce, 0x295813f2, 0x2575afbd, 0xf87a0a03, 0xaa5a8baa, 0x252ec2ce, 0xaa7555b8, 0xa36f3bf3,
+    0x4519be2e, 0xcfcf8672, 0x72cdef3b, 0xa4953d5f, 0x0a5ce44b, 0xa13d2e66, 0x5fecd68e, 0xc2cd3dd0,
+    0xcc1761fa, 0x57c25f66, 0xc409f2a7, 0x182bc283, 0xfb5852f4, 0xb2b46cdb, 0xe7ebc143, 0xb0e83742,
+    0x17a3ae64, 0xfa32e978, 0xfe8e410b, 0x132dee98, 0xa068bd9b, 0x2fcaa950, 0x85ec1b42, 0x811eaf44,
+    0x7c6764b2, 0x8fed3367, 0xc0a3b3ed, 0x5a3b04e5, 0x6969ed8e, 0x117738c7, 0x55b2ae0f, 0x8064816a,
+    0x84e5e1b6, 0x079aee03, 0x88e6c7fb, 0x09177f88, 0x5a180dd5, 0x938a2f3b, 0x7d58fad5, 0x512bc3db,
+    0xc5548ad5, 0x3410cae3, 0x617d005b, 0x096fc878, 0xf8a231c2, 0x1563afcf, 0x6b0a740c, 0x2ec5d6c0,
+    0xe1670a99, 0x0bc0a20b, 0xad3a37fb, 0x27f45036, 0xc4d8e4f0, 0x9bb59fc8, 0x18402802, 0x739b1714,
+    0x656e3bc6, 0xc1bf0ec0, 0x88509dee, 0x5c6cb378, 0xb5c56def, 0xb1d03eeb, 0x6d115ec8, 0x34be667d,
+    0x1b6b7664, 0x383d65fa, 0xa1def618, 0xeee6f5b4, 0x1f89f818, 0x694d9738, 0xdad02750, 0x638e3166,
+    0x8e456217, 0x1adbbe2d, 0xf53f9130, 0xa32bc321, 0x0bd7ea15, 0x1c2cbf5d, 0xa385f1a0, 0x21367b5f,
+    0x73d91c93, 0xab73fe97, 0x5b701904, 0xdd032f4b, 0xf7df13c5, 0x9609af59, 0xec582e06, 0xad88f53c,
+    0x52c77a91, 0x86725324, 0x779b3575, 0xfbfe212a, 0x9258a821, 0x5d9339ec, 0xbcd4991e, 0xd4a958ac,
+    0x491bb2cb, 0x20aa8520, 0xee269bbc, 0x68aebcab, 0x185ce22c, 0xbcb43193, 0x1893bbdc, 0x0c6ea432,
+    0x7b1ce01d, 0xa31449d6, 0x368d81ec, 0x2a925ce3, 0xe4b99130, 0x7283d9de, 0xd51cecca, 0x3d32030f,
+    0xc06868fb, 0x8db9ab59, 0x7cbbc447, 0x32431a79, 0x4606126f, 0x30a4a08f, 0xec4fc717, 0xa1c4c12c,
+    0x15d35f5a, 0x1e00594c, 0x17d66817, 0xae6c8255, 0x6919eb9c, 0x9cd8b591, 0xd24dc24c, 0x83d68fa4,
+    0x45e35c95, 0xb8dc5e5f, 0x0dce502c, 0x5191adf1, 0xa7620615, 0x14c5cc21, 0x404391e0, 0x6829d848,
+    0x78c9e424, 0x79058b9c, 0x7ef76409, 0xbc477fda, 0x534039bd, 0xca2dd340, 0x58936283, 0x4bb50c80,
+    0x8237dcc2, 0xa79b4678, 0x6d24c07f, 0x029dcd40, 0xf51ba1e0, 0x25de50dd, 0xf2e404a6, 0x6a96217e,
+    0xff5ac7ae, 0xbf400637, 0x729bc6ed, 0x0f648233, 0x88d4b20f, 0x6bc27f51, 0xd918e4f8, 0x78e3b75a,
+    0x37839e31, 0x5c862dda, 0x4c0b1d26, 0x8333304b, 0x42396527, 0xdeb558bb, 0x9dd827e9, 0x9fd38eb6,
+    0x97433b42, 0x834bb929, 0x11a0207a, 0xd1f5440b, 0x8e5673a7, 0x3e5369cf, 0x6089d1d0, 0xfd83c99e,
+    0x49c53b2c, 0x0643ab0b, 0xf70ce17c, 0x44f5145b, 0x4a85023d, 0x669a8987, 0xc3fe23dc, 0xa37f2b69,
+    0x9ef0cd0e, 0x000e2903, 0x73ecb269, 0xe790c1f0, 0xaab2d202, 0xed6d16ea, 0x9c008965, 0x701c3b04,
+    0xd441db37, 0x7c5d25eb, 0x31723398, 0x50c25903, 0xa2ebc710, 0x7b4f0c70, 0x6c605eec, 0xd98a66ac,
+    0x48bc0830, 0x594a936f, 0xd564aada, 0x15ab255a, 0xfcb81dc1, 0xa174ceaf, 0x43c703dc, 0xbc82f3e7,
+    0xb6b4589a, 0x2d80e1a6, 0xc921a3ec, 0x7e2ff188, 0x96e8f15e, 0x06b4bc05, 0x4985a980, 0x2046cb63,
+    0xdaba0c17, 0x93509f11, 0xe613074f, 0x31b12773, 0x97162edc, 0xe4d0cdf1, 0x58047c06, 0xbf574bfc,
+    0x30281f60, 0x637979b9, 0xcb7090c5, 0x83b93629, 0xc3908265, 0xfaafcf66, 0x77c320fc, 0xfe7d1145,
+    0x775ae675, 0x6d85d427, 0xcdbcb8ef, 0xfcba0d62, 0xafc3c66f, 0xb0890416, 0xddd77396, 0x73aa4a20,
+    0x1dbd4679, 0x92c7286d, 0xa0235470, 0x55a4bc05, 0x200b50bf, 0x99481692, 0x9ff10711, 0xb30c32ca,
+    0xca338665, 0x5aa94ee8, 0xfb9e2438, 0xc44662e1, 0xcfb21cd7, 0x0590cdfb, 0x854cbb27, 0x040d340a,
+    0x8c16deb4, 0x72426cfc, 0x14b83bfd, 0x96590cc8, 0x31cdb1dd, 0x6c7567ac, 0x5d546824, 0x669fd64f,
+    0xbdd70990, 0x91618acd, 0xd754c1b5, 0x7934a203, 0xeef288ef, 0x619cae97, 0xe3cbeb83, 0x4df8468e,
+    0xee7cef15, 0x5c52e7a1, 0x0d30269f, 0xdbc19d12, 0xc86af9a6, 0x57aa3d26, 0x67fc6f9b, 0xc6b30354,
+    0x70242317, 0x541b4d12, 0x44d1cc76, 0x5a97d5ea, 0x4ed3d16a, 0x59d373b7, 0xc6bcd827, 0xe7b90a6a,
+    0x701ca0dc, 0x028dd13d, 0xd166fc36, 0x869a8433, 0xa2e67804, 0x7c2eb177, 0x2de0b781, 0x0b1a67d7,
+    0x2322e9fd, 0xc8f64ed8, 0x6467bf70, 0x482e5514, 0x54f7acd4, 0x7b4450f3, 0xf24aa103, 0xaf594a0f,
+    0xef1187f0, 0x75fea7e1, 0x1c0c7c59, 0x5420d4cb, 0x3bd303cc, 0x52b231af, 0x2cfc0002, 0xf0f530ea,
+    0xb0928ae9, 0xe41eb278, 0x31f93856, 0xb7bab589, 0x2b7d1f70, 0xda557ae0, 0xf7759407, 0x5d39c07a,
+    0x01c98785, 0x3c951b50, 0x79f5ce88, 0x424fa9c4, 0x72db9e5d, 0x7c892e51, 0xcd097217, 0x9370bd86,
+    0x69b2b71e, 0xcee05a2a, 0xd767b75d, 0xe9a01ce1, 0x02b2a61b, 0x7ef55da0, 0xf0a8f815, 0x004e6014,
+    0xe104f898, 0xf941f384, 0xd963407b, 0xd7c48033, 0x1a5709ce, 0x42834332, 0xd6f176e9, 0xf10aeaa8,
+    0x511273a5, 0x244687a7, 0xd838023f, 0x8ffe8118, 0x5f15c2c1, 0xe157b26d, 0x67475bbf, 0x6e15f044,
+    0xba4b152b, 0x47dfdece, 0x9b48bb18, 0xfb6aeab7, 0x839b61b6, 0xcb47902a, 0xd53318d4, 0xf4cd1283,
+    0x69f5f435, 0x62903312, 0x1572d989, 0x5c0acf30, 0xba596fd6, 0xfc061028, 0x9d72813b, 0x646f9480,
+    0x64e92071, 0xad188dda, 0xabc48b20, 0xf2414e1c, 0xd831b95c, 0x050d11b9, 0x04769284, 0x26345eba,
+    0x5f0f6917, 0x35e97354, 0xb0018972, 0xf3e0f7b6, 0x3080b79b, 0xddc6df5e, 0xdc5b4b2b, 0x3b997c38,
+    0x56880592, 0x629cfd4e, 0x3f6bbd84, 0x552e165f, 0xac77ced8, 0x610a721d, 0xa2c59b3e, 0x84022b39,
+    0x9e53ae5e, 0xea99ce77, 0x57634c18, 0xbb1ca020, 0x49404caa, 0xd590ef35, 0xc214d744, 0x6b8e96f0,
+    0x29102cf2, 0xbdb9c7bf, 0x9ba235b1, 0xff72a457, 0x0b18e017, 0xe064075d, 0xf20efa23, 0x0f0fbb7a,
+    0xe4bf9060, 0x87b46146, 0xde3d90a8, 0x5f8173f8, 0x91ac04de, 0x1a80cfda, 0x906230b3, 0x227f1dbf,
+    0x36173c4a, 0xba11cd68, 0x8c111c7c, 0x4f32542c, 0x1cc58f24, 0x9b816589, 0xdc14b24b, 0x3ab7390c,
+    0x0cc0ccd7, 0x229c7873, 0xb9066edf, 0xe60c898b, 0x99117cdb, 0x725d20be, 0x1a2f750d, 0x3862ebf9,
+    0xa8984969, 0x6572e6f8, 0xdb57faf4, 0x7a1c52cd, 0xc108e1f7, 0xf453309d, 0xaee65bb9, 0xbbed03bd,
+    0x0d4e8957, 0x6d96ef4b, 0x8eb91075, 0x1b47d1d2, 0xc4793130, 0xcf9ba2bd, 0x645238e2, 0x9903530a,
+    0x2aa585ae, 0xf619ca86, 0x95bdbd55, 0x1acb68dd, 0x4bb8c3a0, 0x5662c417, 0xdd43637c, 0x790b099b,
+    0xfd20b12b, 0x0b982ad3, 0xaaed0555, 0x96da47df, 0x3718b2e8, 0x02edbab5, 0x70924c7e, 0x1c2a54f4,
+    0xc3701b24, 0xf5570857, 0xa2e527f9, 0x837e9a20, 0xd618a1da, 0x681af818, 0xa8b9d04a, 0x2e4135b4,
+    0xb5a0a65f, 0x6097cb32, 0x0acc0b29, 0x8b219d48, 0x37fcc175, 0x3f9d9591, 0xb56f2a2c, 0x2dc72436,
+    0x834afb0a, 0x2ba807b1, 0x5af8ccfc, 0x77975eed, 0x21185f43, 0x20dbd2b6, 0x2bc52e4c, 0x77f94b04,
+    0x86b4cccc, 0xb8ffc8d2, 0x8728563b, 0x7feb2a03, 0x49ebf4d7, 0x892155d3, 0xfa9faab8, 0x22211c67,
+    0x0873f1f1, 0x6cb920e1, 0xc197b53c, 0xbc4dc410, 0x8cecefb8, 0xf19461b9, 0x6b216fdb, 0x3f76a9fe,
+    0x106c8e86, 0x0c5d3839, 0x3f4285ad, 0xbdccd6e5, 0x35a88779, 0x5ccae245, 0x7e89547c, 0x4ed71f50,
+    0xa6652fb6, 0x63abafc0, 0x153f7bd0, 0xb8306b1b, 0x1435a47e, 0xa6fdc518, 0x14b590e7, 0x6aee5725,
+    0xe585e83c, 0xa77745ea, 0x8dd552d7, 0x5ccddb17, 0xdb3eb208, 0xf8428c0f, 0xea48abdf, 0x748c84bb,
+    0xfbe3173a, 0x0ae6ab5b, 0xa814b732, 0x00668fc5, 0x944c74aa, 0x2e8eed06, 0x9e5f8847, 0x4097fa1a,
+    0xdf4cee20, 0x573d94cb, 0xbb13fd59, 0x5d5ad25b, 0x9809e9b5, 0x93408192, 0x5da55335, 0x52011b2a,
+    0x81e53cf0, 0xbad80f86, 0xcfac9ef2, 0x234c770f, 0x63dae041, 0x1d2295d0, 0x150fa7ac, 0x85397485,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000004951760157141521099596496896 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8ea0, 0x36da811f,
+    0x00000000,
+    0x87f67260, 0xc708b68c, 0xab0c71d8, 0x7713fd34, 0xc7cb8f0f, 0xfe514442, 0xb745ad24, 0xc2ee7dee,
+    0x3952cc94, 0x3355de2e, 0xb9730fc8, 0x49a0b347, 0x1d0bcd3e, 0xf25bc6be, 0xfe259e86, 0x5be43138,
+    0x65bc883a, 0x0126cdf8, 0xac000190, 0x5b022a24, 0xc2eac38f, 0x50b7e985, 0xa38266f2, 0xce0223b9,
+    0x2e9afee3, 0x8096b426, 0xc99e3e51, 0x56cbca88, 0x0bd61837, 0xe44ffed5, 0xd328119e, 0x66a1eebc,
+    0x32b09dd5, 0xe1786331, 0x169adbbe, 0x65430a95, 0xcfc1e766, 0x707d4f45, 0x331cddc7, 0x5c54b515,
+    0xde216fcd, 0x033265df, 0x15815418, 0x91d4d7df, 0x17a9f2ee, 0xeccff607, 0x7ea2c48a, 0xb82fd1ac,
+    0xe44f3a5d, 0xbb323136, 0x74a26fa5, 0x39e8a8c9, 0x61da22e8, 0x64c98078, 0xacd004a0, 0x31ba6896,
+    0x7870ca2b, 0x6f891920, 0xca8f25f5, 0x2114e290, 0xde01d6a4, 0x74ec32bb, 0x6329fcbf, 0xa62123f9,
+    0x4c8c83f9, 0x1af56c7a, 0x49720341, 0xec530956, 0xfe40f8d0, 0x1b229450, 0x0cad3507, 0x0aac7639,
+    0xb5eb16c9, 0x313b7d12, 0x80977f5e, 0xba3b9041, 0x00539a1a, 0x3aec5430, 0xe49fbceb, 0x58d5043a,
+    0x078a591c, 0xc9b8cef9, 0xc5ad8fec, 0x4b68d442, 0xbe433fbe, 0x4c02fdcf, 0x16d179b2, 0xc54e420f,
+    0x00777d83, 0x02bcdd1e, 0xd3e1a4c5, 0xbfe132a9, 0x5ff6897c, 0xa78da2d3, 0x8390e05f, 0x4408a972,
+    0x21bdfdd3, 0xb91438e8, 0xa0bc8631, 0x5b387075, 0x73a9c811, 0xee20269b, 0x516a2316, 0x5f276722,
+    0xbea85e82, 0x3396a233, 0xd3fb0a90, 0x5b279f07, 0x0085212e, 0xdf9602e1, 0xb7f70af7, 0x737fc7f1,
+    0x2718d40c, 0x5afd3cab, 0x5fe85763, 0xc752376a, 0x955cf4f4, 0x6287d614, 0x950a1438, 0xbbc60c6a,
+    0x2638d325, 0x5297d44b, 0x6d213210, 0x8564f554, 0x6d59722c, 0xd70b2031, 0x386e6113, 0x4b6577c1,
+    0xa668a849, 0xa076be8a, 0xc06e07d5, 0x220e0ac8, 0x5d16a415, 0x5dab0c1b, 0x7796a8a1, 0x0b8dadb8,
+    0xd1f0feca, 0xcbc135d6, 0xb1cd9a6c, 0xc07f9633, 0x471bd5f7, 0x748677c2, 0x7fed2f3a, 0x107774f9,
+    0x5d405edb, 0x69446c39, 0x5c0196df, 0xb84ec459, 0x1fce2290, 0x81b95a0f, 0x971c08f9, 0xe980ee2a,
+    0xd1cb3597, 0x31d89977, 0x30174279, 0xff3deda4, 0x5bd3a95c, 0x8ac95d17, 0x78106895, 0x8bb04198,
+    0x0043cbe4, 0xf536a612, 0x5aa9ac52, 0xead52040, 0x48c0d15d, 0xb94c5cec, 0x036f3dca, 0x5fc80676,
+    0xd663bd73, 0xfd99d800, 0xa6030b6c, 0x5a497e04, 0x18a93cf0, 0xfe0d3ab9, 0x2997610b, 0xd058600a,
+    0x91a4a7e9, 0xbab30758, 0x266c97fc, 0x3aed7612, 0x8f3d4f69, 0x5da308df, 0x7f63bda6, 0xf7bfe3e2,
+    0x9f748aa8, 0xcbf77d49, 0x6aefa3ff, 0xe0f71597, 0xd8268986, 0x8760e1a2, 0x8070b647, 0x2be7b462,
+    0x2efec18c, 0x03caf2ea, 0x4fed0d09, 0xef1bb85d, 0x3251c971, 0xc10d1701, 0x0b7810b4, 0x69c8c560,
+    0x56311a88, 0x3e2147f8, 0xb60f1f42, 0x336ceb02, 0x11122e91, 0x21677e7e, 0xffb43b2f, 0x1d52e952,
+    0xcab673e8, 0x8492ab81, 0x1e4a005a, 0x726e57db, 0x8cb48b40, 0x400e4145, 0xdb643411, 0x796ec99f,
+    0x6e8dded7, 0x0a7fe7f6, 0x48ce270a, 0x57b1c637, 0x6d43b997, 0x058ee857, 0x57c45f73, 0x2b319141,
+    0x88c1a898, 0xfc051c5b, 0x3c31bd31, 0x811b9351, 0x1ceb3a98, 0x5562f045, 0x32f3fcee, 0x0467b1ba,
+    0x32d4ba35, 0x8813bdde, 0x061bda0c, 0x3d3a27f2, 0x7c87fa7b, 0xdff8fdc1, 0xd974ffcb, 0xf5de7ad9,
+    0x8a7475d7, 0x7c3df052, 0x22a93763, 0x78a1ebea, 0x219c8998, 0xadc80d7b, 0x1adaa9f8, 0x499194f2,
+    0xa957fc82, 0x5dc4c4d5, 0x430e6a53, 0x1bd1c846, 0x5a1b0a4c, 0x35856345, 0x78f590ca, 0x738743e1,
+    0x6038d746, 0x359a3f63, 0xa099bd91, 0x4092f0c8, 0xbc9f6fd2, 0x50d538f4, 0x4f40e2b0, 0xf9a2629a,
+    0x061011a4, 0x1fd549d6, 0xd268bc59, 0xcaa4dcc6, 0xb00f89fe, 0x347c9325, 0x4742c034, 0xd7fd69c1,
+    0x2dfa89d1, 0x467cd50d, 0xd40eb97b, 0x00803fcb, 0x34a82321, 0x8fe47352, 0xb230b11e, 0x750901fd,
+    0x0e7ac6cc, 0x967457eb, 0x08ff8f45, 0xfe027d5e, 0x915053d0, 0x7d56dc5d, 0xc1575281, 0x261751f0,
+    0xd02da8b0, 0x5915e0a8, 0xfa915535, 0x1af5ea0e, 0xeeaf747c, 0x9badd760, 0x09f9b76d, 0x2513f2ed,
+    0xde0ade28, 0x208feb95, 0x3f0edf23, 0xca7e934d, 0xb5b28f95, 0x2f8381d8, 0x18fe7272, 0xbc6e0d73,
+    0xf8d80ad1, 0xe0fe26c8, 0xe75a50c1, 0xd6456561, 0x3e775b88, 0x56885376, 0x05f8eb47, 0xe0d7b2d4,
+    0xde382a7c, 0x800b1d1a, 0x8b8a246d, 0xfcd562b0, 0x17decc10, 0x6e2ca789, 0xa28f92dc, 0x01edf4d3,
+    0x3f320fee, 0xa960ec91, 0xd7bac3f9, 0x57900537, 0xa349fdb8, 0x6424638c, 0x4448b3f3, 0xfdf26d5b,
+    0xf89e1f7e, 0x3aff1f76, 0xc9341858, 0x2eb4280a, 0xc809186b, 0x87a4f666, 0x02838890, 0x5cb274d9,
+    0xfcdc5045, 0x9d2a12a1, 0x392b4e84, 0x1ec0a20f, 0x37b74d82, 0xb7272dd3, 0x247f063d, 0x2690bbbe,
+    0xf314e025, 0x8eec9d05, 0x596f5101, 0x4bf01c6a, 0x47186427, 0xf7fc4c18, 0x179d176a, 0x3e8f4615,
+    0xe989be94, 0x85d0d1da, 0xb77db528, 0x7999b236, 0xa25a9490, 0x1667db4c, 0x53394ac1, 0x6daa6729,
+    0xfd102e85, 0x220ad354, 0x704c06cc, 0xeb446cb5, 0xb7f0beeb, 0x1b2a3ed7, 0xf6dbd07d, 0x83b1af0a,
+    0xe6b57a15, 0xcf54b1f2, 0xadd788a3, 0x74ba5ed9, 0x21daf296, 0x430e051d, 0x2265ea4b, 0x86426a86,
+    0x1eb4b751, 0x2ea8c03d, 0x5e87c5a3, 0x09dc4a7e, 0x7992df78, 0xfe880b44, 0x5c741269, 0xcfdefccc,
+    0xd2809fe5, 0x75412c98, 0x9f013fa9, 0x8b5a5a2c, 0xe1923782, 0x7e3ce1c5, 0x55f36013, 0x06edcda7,
+    0x42d9ef82, 0xedc42593, 0x0a52ced8, 0x507fe4ac, 0x54a80a73, 0x4c829565, 0x6b0cb10b, 0x0a9b6d64,
+    0x32989e61, 0xe046cd24, 0x73dd95eb, 0x20065d5a, 0xb4007010, 0xe445ff13, 0x46eba6f3, 0xe7295095,
+    0x16d0ad7e, 0xbfefc02e, 0xe2328e66, 0x2c9e7ee0, 0x9e0d47a9, 0x863c2171, 0x9e9e5abd, 0x540ae27e,
+    0xf17d961c, 0x97de3de1, 0x251d4a1f, 0x45ae891d, 0xc4d8bc85, 0x0fb595aa, 0x8ec53f16, 0x1da78431,
+    0xbe5a55c1, 0xadc4c2ba, 0x3fcf67ac, 0xbaa9d2f8, 0xed5804e5, 0x1fba0981, 0xeba9aa61, 0x5bd7b8c8,
+    0x98c04d88, 0xec16e9ac, 0xc0153fcb, 0xff91cadf, 0x42ad0422, 0xa016c12c, 0xf7377274, 0x5e26e898,
+    0x0c8621a6, 0x311104f8, 0x6ec015c7, 0x81eda90a, 0x9878b239, 0x5e2f3333, 0x5c9b5e3b, 0xab5f10f1,
+    0x204a366f, 0xd5c0863b, 0xdfd4c596, 0x97a31c18, 0xbdc3f127, 0x4acdc509, 0x6d7dbe93, 0xf303147f,
+    0xfc1f0b6c, 0xffa2c009, 0xacb73ff3, 0x774f94c7, 0xc408a378, 0x538a32d3, 0xf8c78f31, 0x4ab37a44,
+    0x6f66de29, 0x2a67c01a, 0x9389fb2c, 0x86982658, 0x41f76674, 0xfa2491b9, 0x3d5e55bc, 0x34bd5ff0,
+    0x124cefdc, 0x86f38b29, 0x5996028f, 0x109698bc, 0x2a82a4de, 0xefb32d48, 0xf972d23f, 0x3e3cdbda,
+    0x1dd7c21e, 0xe55a0026, 0xc4d3dcc4, 0x287dc315, 0x330b4ab6, 0xb3fcd7af, 0xa018d1ac, 0xc4a4903a,
+    0x5f26379e, 0xa7686d04, 0x58ab7b30, 0x0ff7878c, 0x3781b7e6, 0x299112b8, 0x770ad06c, 0x706b645a,
+    0x176484dd, 0xb71cd16b, 0x22cf8a7b, 0x234ed8f9, 0xb6f26bcc, 0xe76373ab, 0x64b3c10f, 0x92b570e6,
+    0x91b1aaee, 0x56614f65, 0x0f527d49, 0xe6d74d75, 0x73323ada, 0x754b6de9, 0x70ea669a, 0x8d23a564,
+    0x0a224428, 0x63fb9c95, 0xc66b19dd, 0x6db9d848, 0x682cac1b, 0x32381d42, 0xc1fd0099, 0x78235695,
+    0xf7a2be4d, 0x35ec5e5f, 0x4852b0ba, 0x68a0a21b, 0x65a44768, 0xacd6031e, 0xf96d842d, 0x51319a06,
+    0x4b79f2b2, 0xc2b9ac92, 0x99abad5a, 0x9216ef26, 0x6fb0dca7, 0xf260cfac, 0xe5ae1ba6, 0x9ad8a13f,
+    0xb9665838, 0xa83362bd, 0x84e0c4e4, 0x452a439c, 0xc26a5dd3, 0x4eab559a, 0xf00fb7cd, 0xfa0c1fcf,
+    0x4c31b5e7, 0x0be4f100, 0x419fd53f, 0xc63ba5f3, 0x6bacbe85, 0x459a06e2, 0xffb79671, 0x2d8c0a55,
+    0xf02519b0, 0xbd2e447e, 0x6c97c89c, 0xe47336e1, 0xb4690026, 0x5ff75b2d, 0x399f8581, 0xa3e77b63,
+    0x88624cb6, 0x0865d3f4, 0xef9e6bed, 0x884d65fe, 0x9b3ab8d8, 0x4a4149ce, 0xda7b53b5, 0x1b845db3,
+    0xd13cc0c7, 0x4ff1420a, 0x18b0009b, 0xe3cf9bc1, 0xad627a1f, 0xece72ca4, 0x3865e2b5, 0x6bcbbddf,
+    0x4e684216, 0x97b26120, 0x37acf946, 0xcb3ea6f9, 0x4dccf27d, 0x8de775ff, 0x4d6b40ef, 0xefbe62b9,
+    0x8f7ecd60, 0xe5901c6e, 0x2b518c2e, 0x3d4f26ae, 0x19ff1ab3, 0x9688d8af, 0xbe442e52, 0x0b4e466f,
+    0x87634c96, 0x8867ff51, 0x8680d3f9, 0x35a2da98, 0x36612f1e, 0x484a2231, 0x7861557f, 0x15c5bc66,
+    0xf7bd1d08, 0x8b7dd684, 0x55803e6a, 0x53ef7fb8, 0x8106ff1f, 0x4e1f9e14, 0x122b9b35, 0xbf8cb8f0,
+    0x88680fe5, 0x3b673da3, 0x47e5eecf, 0xa75aba0f, 0x139fff46, 0xc1c54a67, 0xc9162ed6, 0x7f3a3a5a,
+    0xdd7399e4, 0xe8f9bbc2, 0x19c33610, 0x26e5cf1f, 0x8ca0f870, 0x629b7f60, 0x1360101b, 0x84f6025d,
+    0xf7726ea4, 0x05f55857, 0xb4014348, 0x92e1bc4f, 0xc525699a, 0x157f8580, 0xa807a72e, 0xaa1d9ac5,
+    0xacc2df84, 0xf4fd8d99, 0xdc2b1167, 0x5686c1f5, 0xda115660, 0x8f80045f, 0x9e946efb, 0xc549e8b9,
+    0x9e861a2f, 0x299fb6a9, 0x2f31bf48, 0x5cf5611e, 0xb4cf817b, 0x9d5d3528, 0x161ad2a5, 0xab692fe6,
+    0xba1d5677, 0xfc6f4816, 0x3273fda8, 0xbc9f323c, 0x4affbf9b, 0x025e8286, 0xe8199029, 0x9482e264,
+    0x0413cb59, 0x2b347a8a, 0xadf2adeb, 0x7e9e03fe, 0x74327cc3, 0xf8de0b8a, 0xaeff6462, 0xf93df585,
+    0x46e1ccd8, 0xd27a1809, 0xdeccb59d, 0x9d01e39a, 0x84aab10e, 0x458387cc, 0x308cfe18, 0x2d8798aa,
+    0x99741e7a, 0x63c24418, 0x3d4817de, 0xe1d2770a, 0x203b94d5, 0x2302fb05, 0x8497c97c, 0x04c00d6c,
+    0xbd42641e, 0x2794aada, 0xdd2ddf65, 0x98e7a087, 0xd043cd92, 0x82345c7f, 0xfae96eaf, 0xdd25305a,
+    0xca74c86c, 0xed1c956f, 0x07ce13dc, 0x839de15b, 0xa0d84231, 0x9a89a0dd, 0x24af6b0b, 0x5f0736a6,
+    0xf3c5e378, 0xedae815d, 0xba468367, 0xfff3e963, 0x668037bd, 0x976cc38a, 0xb3966320, 0x479114a6,
+    0xac66b159, 0x597ab849, 0x54b94372, 0x5455a9d7, 0x691416cb, 0xabec8648, 0x4839c8c2, 0x4df7c795,
+    0xd7bed65a, 0x37132f73, 0x3c145dbf, 0x0e0b3696, 0x8d28e05b, 0xbab5d823, 0xf4a6671e, 0x887ac92d,
+    0x323b6080, 0xf61f7965, 0x459c3b12, 0xb14232bc, 0x6a1a47ea, 0x4e1b39dd, 0xf154c9cc, 0x86187303,
+    0x262c91ff, 0x3aa1ee7c, 0x88dd796a, 0xc857f68a, 0x42d2abc2, 0x7b409213, 0xd7bf59b8, 0x5e137a04,
+    0xc151bdba, 0xbca07382, 0x45c1a2dd, 0x46484675, 0x2c6d0970, 0xf41db693, 0xbd7ff98d, 0xda2c56aa,
+    0x18cd4a13, 0x047a54c5, 0xb647eb90, 0x60c4bd14, 0x901ea269, 0x78fbf65e, 0x34a24107, 0x29c1dc1f,
+    0x2da750fd, 0xe81c0f98, 0x4adf772a, 0xb8d43e9c, 0xa21d6604, 0x76907a15, 0xb9afd909, 0xca16b3f1,
+    0x6d674b8f, 0x3a932bff, 0x605d526d, 0xc86874c7, 0xa52abc0e, 0x294b107f, 0x96bff378, 0x2b08d827,
+    0x1f595cd4, 0xd0ae1a84, 0xe684beae, 0x56ee867c, 0x093ffa30, 0x036cadd6, 0xd6557e29, 0x453008a4,
+    0xc3c63392, 0x90baf4f7, 0xa867cd10, 0x07a174e9, 0x92861099, 0x80c7b76d, 0xd0360a7e, 0xa2faaa57,
+    0x2f21ff3b, 0x4a5459c4, 0xc24e5e33, 0x59159625, 0xdcb65584, 0x50f998f0, 0x216a7fb4, 0x665ce0d8,
+    0x04840f81, 0x80ac47ee, 0xf377690b, 0x272db0da, 0x665f2cf2, 0x30a1f5c6, 0x53b2093d, 0x037bf7b6,
+    0xdf51112e, 0x9e9580be, 0x719579bb, 0xb3e4d904, 0x7549a82c, 0x7b42525e, 0xf6d32d26, 0x99584e8c,
+    0x58b12a44, 0x37a90c0d, 0xa8548807, 0x4247c0f9, 0x5d612e4a, 0x2ae4836d, 0x12ce9da4, 0x2287bedc,
+    0x89ef94a9, 0xea48de78, 0x42948914, 0x857a8bee, 0x5e06fdff, 0xf3634b18, 0x70011e7e, 0xa454b2f4,
+    0xdbfeaad5, 0x0fe893aa, 0x7c950835, 0x83587928, 0xa39cb398, 0x8a390a7b, 0x2dd5fdb7, 0x262e442e,
+    0x05ed5d8b, 0x61cf8b5a, 0x656acc31, 0x46e9d816, 0x6479d15e, 0xc79f2ca3, 0xeaadd8b8, 0xb10d2967,
+    0x5cc15fe1, 0x08c1e2c6, 0x6d111ffb, 0x78d3987e, 0x5dc7cb6c, 0xab6d6301, 0xb374baf5, 0x3bbf422f,
+    0xf986b217, 0x89847924, 0xe0a91efc, 0x89f58b22, 0xc65d7f47, 0x684fcfce, 0x88104f55, 0x3f172613,
+    0x5eaba6c8, 0x73b1e12d, 0x79cf90b3, 0xdce7ced3, 0x205b8989, 0x9cfd7a95, 0x81c14524, 0xceef4d90,
+    0x0546de68, 0xa64276ef, 0x3f34cb61, 0xe1aa91f9, 0x161eb42f, 0xed4e9fc2, 0xbe57a898, 0xef38e76b,
+    0xa4411150, 0x6a4932ac, 0x851a3832, 0x494a22fd, 0xbc2ebb7a, 0xf336e3c7, 0xdfad0e5e, 0x8d28e0ab,
+    0x6d97a05b, 0x9832450c, 0x78058b11, 0x7cfb6b76, 0xdcce2d83, 0x5bcca0a6, 0xd22d4001, 0x7357ce0e,
+    0xf8e71a44, 0x92faa219, 0x676ca766, 0xec9cb938, 0x0a3fc5e2, 0xe96dffdf, 0xe20b99b8, 0xb1d1098f,
+    0xf51f6aa7, 0x44a402c4, 0xdbe4aa86, 0x6d901b03, 0x7f087b65, 0xae811fb4, 0x8987e741, 0x44b9a6b0,
+    0x116e100c, 0xe3fa0ea1, 0xc770960c, 0x46e835aa, 0xd0afcd02, 0x01d4a2fa, 0xdb167332, 0xaf68dfd6,
+    0x58d5cc28, 0x244242d8, 0x2a84fa8c, 0x4e3524f3, 0x73e5759b, 0x42fba8f4, 0xf0a4e1a0, 0x33643f3f,
+    0x9ad7df2f, 0x8f6fa6d1, 0xdfbeb777, 0xe7de97a3, 0xa2c2dee9, 0x63faa775, 0xaf62e5a7, 0x4684d685,
+    0xddeb0ae2, 0xdfc835e9, 0x253d4fc4, 0x4d43f3fa, 0x483ad3e5, 0xb0185299, 0x5ef4a85b, 0x3ecd9d57,
+    0xbe1e67fe, 0xf0ae4e85, 0x1361692a, 0xaae248df, 0x49110bb8, 0xa6bfd935, 0xc625f1a9, 0x73f22d42,
+    0x42dc6edc, 0xa7a005f8, 0x17760cd0, 0x7bf9a960, 0xcbd5f70b, 0x68e8c060, 0xc238ab6a, 0x1df77382,
+    0xe1e7b712, 0x267f4258, 0xa888f4df, 0xeb9c389b, 0xeb3b8915, 0x207b1973, 0xbb4918f9, 0xc74aadfd,
+    0xae2dfd09, 0xab89558a, 0x5b51b18c, 0xa8e9ed72, 0x04d87bb1, 0x2a7ac542, 0x05489606, 0x1c56ddb8,
+    0x51488b29, 0x122a9e4b, 0xc8bfdae3, 0x9db92377, 0xedb28aad, 0x920dfa0a, 0xbfca2d69, 0xbfe74353,
+    0xd720e1ce, 0x3aca1975, 0xebc8f0a3, 0x3234da96, 0x1e8c367e, 0x9d0bfb4b, 0x7b5ea315, 0x208ffae5,
+    0x41506d76, 0x4d0f6384, 0x6ff53a8d, 0x1dc17f80, 0xab4cf115, 0xa7d18e0b, 0xb42cef3a, 0x61a15dca,
+    0x26416fdc, 0x0f12bde4, 0x29effd73, 0xaa72b193, 0x299fbe5c, 0x90ab147b, 0x2520497f, 0xa0ccbe0c,
+    0x35a19ede, 0xefe2ecb8, 0x7d32d7a2, 0x97a39c14, 0x9c13d0ed, 0xb6749079, 0xe25130e6, 0x10afaf02,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000002475880078570760549798248448 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e4750, 0x1b6d408f,
+    0x00000000,
+    0x83ebd8d3, 0xa18ab6c4, 0x696f8a28, 0xfc80a826, 0xb451bb12, 0xaa9b7206, 0xa8e67409, 0x726f318e,
+    0xd7418ad4, 0xc5fb3a48, 0x28acbd85, 0xb823ee3a, 0xaa2d2d44, 0x29734d65, 0x433429e7, 0x329cdfc8,
+    0xb279282a, 0xfbbc26d0, 0xfec1d8a5, 0xdc8248ba, 0xf2ee53a4, 0x8bd93192, 0xedce6790, 0x21193d28,
+    0x7b627432, 0x1024603d, 0x11e7a4f5, 0x650d98bc, 0x7e07fd25, 0xa62a0797, 0x0be61443, 0x63a8005e,
+    0x482028ac, 0xa430e2be, 0xc01c5858, 0xc655533b, 0x3b9da697, 0xa486fe38, 0x228118d0, 0xe27a10f6,
+    0x293a1d4f, 0xf61ee587, 0xf6cf920d, 0x0515a4db, 0x3efa0bd3, 0xe5dfe577, 0xba185640, 0x58527040,
+    0x11a28b52, 0x5a826be5, 0x8df79712, 0x9cb1d506, 0x5a953036, 0x560a06a2, 0xdacb09f5, 0x2c57566d,
+    0xc95ddf16, 0x184f1356, 0xc30c6099, 0xb52e00f2, 0xe5389d4c, 0x0f739c1b, 0x912e942b, 0xa0bf69e3,
+    0x8bb430bb, 0x323086b8, 0x7427fafe, 0x3149a0ff, 0xcd07c53a, 0x9fb147ab, 0xd4e1462e, 0x000fc027,
+    0x1a28202e, 0x757cf7ee, 0x144c35fe, 0x930694c6, 0xca768d70, 0x801d1111, 0xf005c262, 0x3ee306e4,
+    0x1abde4a1, 0xbfe678d6, 0x5aaadf4d, 0xb2d73d17, 0x06a0f817, 0xf6ae7ada, 0xa2387f85, 0xebd85fa0,
+    0x7184a4c4, 0x2d5b6dfa, 0xa1cffc5c, 0xd6d4c862, 0x77d83a9e, 0x53c23bf7, 0x47457a6b, 0x62ed59a3,
+    0xf9eb66db, 0x412b6d5c, 0x26457ec4, 0x872cf859, 0x6d726995, 0x1fd20037, 0x41e8f00e, 0x561d43e3,
+    0x004c5daa, 0xecd0c23c, 0x6cad276f, 0xa2b26abe, 0x10cb5e28, 0x6343e916, 0x944f0382, 0xe39bcaad,
+    0xa00bcf8c, 0xe4632133, 0x7178dd3f, 0x59b3bf5e, 0x0ac9e78d, 0x6438fd49, 0x0200c5ab, 0x1d5fb7b3,
+    0xa90393a3, 0xae54ff83, 0x4c2a6de5, 0x591d1468, 0xe0640eca, 0xf2c4f68c, 0x0dcc3598, 0xc2e25258,
+    0xeb50b41f, 0x64642233, 0xa341e8bd, 0x7e638a9e, 0x6900f7b8, 0x140427b1, 0x2db3d01b, 0xa06a3b36,
+    0x29ba1571, 0x0d1830cc, 0x09580352, 0xc131d197, 0xae8fcb4e, 0x4bf5b75c, 0x1a0b84b6, 0x7696b1a6,
+    0xf21bb966, 0xde8df41a, 0x41b5acc0, 0x0a22fe7c, 0x7cc554b3, 0xaa664ca8, 0x7293cc15, 0x4468d539,
+    0xdbccad1f, 0x6965718a, 0xa424ec7f, 0x03ce1274, 0xf9da4bd4, 0xad4153e4, 0xca3c88e8, 0x45e9635d,
+    0x3dbae8c9, 0x4830c333, 0x39ebe1d8, 0xcc37636b, 0xb68f4c17, 0x65d6d1c8, 0x4b185089, 0xb880f1a4,
+    0xc01b7115, 0x126c4770, 0xd6833d6f, 0xfb2aea0a, 0xd9656192, 0x0e8a9378, 0xa7633ea0, 0xf7478421,
+    0x30e518eb, 0x082a3330, 0x6dbcb7a2, 0xf2de64ec, 0x8ab48beb, 0x3682a5f2, 0x7e2a67c8, 0xf87583de,
+    0xa3e37c5f, 0xf96cfa3f, 0xb93c5431, 0x93e6d642, 0x17583877, 0xe4590c77, 0xe5ca1a36, 0xf94d4d5c,
+    0x3becfb8b, 0xa2930397, 0x18a07958, 0x5a4f6565, 0x0d8dd5ba, 0x461a2827, 0x41d5509c, 0xcc9b4085,
+    0x0e92724d, 0x61e209d9, 0x390743c3, 0x2d3c75b3, 0x800b3845, 0x1f71ab73, 0x0e525d41, 0xb39d8f44,
+    0x328083f3, 0x7d07386c, 0xfeda4435, 0xfc187112, 0x2b9d116c, 0xd450a504, 0xb14415f0, 0xcf67eb9c,
+    0x9f810d74, 0x5b8a1cc8, 0x9c745153, 0xee51041f, 0x636ac067, 0x5990fa9a, 0x0f3c8e05, 0xddf2d8de,
+    0x9b795e1b, 0x541f1d65, 0xfd4b51b0, 0x7a4968d8, 0xd78e2d84, 0x1ea2a26b, 0x498bd5e1, 0x87e44559,
+    0x8533b8c8, 0x3140fe87, 0x552929ef, 0x2563ebdf, 0x4066a25e, 0x32a1948b, 0x811e9106, 0xa1a1a649,
+    0x1e70aed5, 0x1805e621, 0xc1cb017e, 0xa3bcd8bc, 0x128d542b, 0x741c8995, 0x9cff18c0, 0x3fbe09cb,
+    0x617f38c1, 0xa620cc4b, 0x5b50259b, 0xa48a72b2, 0x4b647486, 0xe2bfdd52, 0xfa1a83c8, 0xa50693e4,
+    0x1bedc32f, 0x86c0461b, 0xc2da8bbd, 0x7ec9b923, 0xe4b9d7e7, 0xa0dfe327, 0xa2ab0edc, 0x40e264b4,
+    0xd28d639d, 0x540b7b39, 0x8734a522, 0xde29982b, 0x63b7630b, 0x9bd1cc71, 0xd1857add, 0x76aa4b0b,
+    0xd9361de5, 0x6517d6db, 0x0fd5c591, 0xe05c1b18, 0x94f2d09b, 0xdf656ab3, 0x43d7776f, 0x17b9ff91,
+    0x902f962f, 0x47815d55, 0x0467fdd4, 0xc3b4484d, 0x3ab93a4e, 0x9be35663, 0x5ebb45e0, 0xb7c9dfcd,
+    0xabd5e31b, 0x943f7316, 0x6d490b5b, 0x9253e78c, 0x700872df, 0xec19ddc0, 0x994aa9b3, 0x0d4fbb2e,
+    0xd386b98a, 0xc017900a, 0xa5cff688, 0x621a6275, 0xaca490a6, 0x558bf1d6, 0xae28fe1b, 0x66ab0ac1,
+    0x487ebf64, 0xa196c382, 0xc9d13bd7, 0x152ecab8, 0x966743a9, 0xc7954655, 0xa8b26581, 0x4e233752,
+    0x048a7cf0, 0xf8e8646b, 0xac28c3f1, 0x925b4dcf, 0xfcc5f6e2, 0x96c2e928, 0xad5c1bea, 0x3193f0f0,
+    0xbe60b71b, 0xccfbf1d5, 0x7433c15b, 0x2c842a74, 0xf895f764, 0x33ada164, 0x4c2e3757, 0x556f0919,
+    0xe05489cf, 0xebadf5ca, 0x71eb93a9, 0x3e40ae8b, 0x89fb87ad, 0xff66ad72, 0xcabcd694, 0x187a1640,
+    0x9bac209c, 0x499806a5, 0x52434e94, 0x8680d5f3, 0x305b7108, 0xf11ca853, 0x9efc2c7c, 0x2da59881,
+    0x360a0316, 0xe2fea6fb, 0xb106e089, 0x87ad0da6, 0x213ad3c9, 0x53d37f98, 0xa9de8457, 0xa9efef9b,
+    0x230ebc5c, 0x31abed15, 0xa75f7e94, 0xce640654, 0xdc161782, 0xa94da493, 0xa52be9c9, 0xb06351a7,
+    0xb04d7557, 0xb7d94d4f, 0x671c96ee, 0x647581ed, 0xec3f9ecf, 0xb7a0b39f, 0xf8fa8c8b, 0xefab8078,
+    0x8fa7bf26, 0x7b1c8aa0, 0xeea20d56, 0xc8cc73bb, 0xd497f0e3, 0x2f55948c, 0x4ca184d9, 0xf7014fc1,
+    0x0f996462, 0x0b25ec88, 0xfc0524a9, 0x332b9d8e, 0xacc7d48d, 0x312b0eaa, 0xbcb92017, 0xc326a84d,
+    0xc776ee08, 0xa745e63e, 0xad78ba41, 0xa69771b1, 0x6d63c16e, 0x6be986eb, 0xe7bc6c92, 0x9d5d84e5,
+    0x82ea2789, 0x135cf9b4, 0x28146f1d, 0x28a22920, 0x798ece1c, 0x652ed08b, 0xfad05cce, 0x0b0e4582,
+    0x12ba9d29, 0xc56999a4, 0x6b7bbbd1, 0x550988c6, 0xf4ad215b, 0x5cc3c410, 0xc27ad714, 0x4df7a9a7,
+    0x7cf019f2, 0xb91fe0e0, 0xc36b8066, 0xd5a3e28f, 0x411d87d8, 0x8f448a30, 0xf96b3b44, 0xb1d502e4,
+    0x632f007c, 0x2a41f282, 0x58627d96, 0xa6d95411, 0xbaea8da3, 0x7772596e, 0x13a914a3, 0x208b44c4,
+    0x3439fe9a, 0xc14e4c36, 0x8057d926, 0x83939a48, 0x3d004d9e, 0x99da6c9c, 0x23843f1b, 0x31efa574,
+    0xe8c52e9e, 0x5b42d794, 0xfefd30c1, 0x645ae588, 0x375b524f, 0xb24cb95f, 0xecf106a8, 0xd2e56b2f,
+    0x2057b3cb, 0x7cb777de, 0xab8e1367, 0x90810e83, 0x0de182ad, 0x6cd58b18, 0xf46435ad, 0x6effbe82,
+    0x46982d25, 0x42826381, 0x7f0c609c, 0xe04a529a, 0xd98f4517, 0x66c44d25, 0xe60390de, 0x13fd2f6c,
+    0x21c0fe89, 0xf516b785, 0xdab113fc, 0xa6321b9c, 0xe87d1889, 0x16503f90, 0xa995b368, 0xc8b70079,
+    0xf3fce8fb, 0xbb215403, 0xbb826ca5, 0x7a10a30e, 0xd5df29f1, 0x2d388c91, 0xc48a4733, 0x8dfc0e77,
+    0xe78a96c3, 0x8a5b340b, 0xb2ff9978, 0xcdb072d1, 0x3dd6894f, 0x9f0b6e54, 0x08365015, 0xeb258643,
+    0x0d3da319, 0xa6c6e404, 0xd4d0f9a8, 0x4295f4f8, 0x6a39c9ba, 0xc3c2a191, 0xf07d02d7, 0x7e633e2a,
+    0xfe89b16a, 0xd1a9d781, 0x99b8140b, 0x0c4f6f5c, 0xa673f2c9, 0x58be194e, 0xef34a85d, 0x8bfde5e3,
+    0xaa7a2884, 0xf8fe479a, 0x2e6522be, 0x73b733ad, 0x533875a3, 0x617a8789, 0xea77bf56, 0x74953a18,
+    0x7506ca63, 0xf60795d0, 0x1616ef83, 0x7c1c3f86, 0x38d6cbe8, 0x11a754d7, 0xe6497488, 0xf43df4fe,
+    0x2bd57294, 0x478bfc70, 0x3f40ead1, 0x7c39268d, 0xc7412d7d, 0xd4090962, 0x33d5aa2d, 0x5c742457,
+    0xc4c87043, 0xd9e008d2, 0x307d3e19, 0x9605ac3f, 0xe3d93c72, 0xe9693b61, 0x9b439315, 0x55578773,
+    0xc21c48fb, 0xca58c30f, 0xa83b7636, 0xa11c0e5f, 0x2832c31c, 0x72923b10, 0x7bc5f26f, 0xf28f8fa7,
+    0xe6ef8b53, 0x08a5255e, 0x3da2befc, 0x4b844f1d, 0x5b1f19e3, 0xeeb1bfd2, 0xa38b59f3, 0x7f34265d,
+    0xb4fb7080, 0xb48b2a1b, 0x97bf754a, 0x696cf8fd, 0x6dbd735d, 0x572cbb78, 0x7b843ae1, 0x08fcf0a8,
+    0xf1efb604, 0xc1f52117, 0xe4b2d6f4, 0xc7a0fd2d, 0x31e8622a, 0x498dcc32, 0x31e4af57, 0xf8d21883,
+    0x6993af94, 0x1e9acc25, 0x631dbbc2, 0x58c564d2, 0xcfd215fc, 0x592962c6, 0x7b1fff8e, 0x3ceec544,
+    0x47cf5dfd, 0x98e1a254, 0xf917457a, 0x8101a6b8, 0x7656980b, 0x7b1f923f, 0xb906408e, 0x55a89327,
+    0x9fe6b928, 0x8ecd5e41, 0x650e0680, 0x6ff545b0, 0x1843a7f3, 0xb4270a5e, 0xcbf09357, 0xc826997f,
+    0xf3061af4, 0x7a027d51, 0x77b6a558, 0xafc78f2e, 0xb28e37ad, 0xe7fb9bff, 0xd47fe381, 0x3909b576,
+    0xa61c3b5b, 0xe8918762, 0x774fd5dd, 0xef5ccda2, 0x2d77c7c0, 0xdec7f20e, 0xd15104d3, 0x3091336a,
+    0x0349b16d, 0xb144e0a9, 0x30933022, 0x0911ba76, 0x54273155, 0x76e67217, 0x98182a72, 0x4330aace,
+    0x70ba4492, 0x30132e44, 0x41b746e9, 0x366d74da, 0xd720aa0a, 0x0a9e8244, 0x5c6c5dd8, 0xbfd9317d,
+    0x9efb6611, 0x46dbbfd4, 0x62b81619, 0x729c5ba9, 0x9c16308c, 0xf3f96473, 0xbdb4e311, 0x00cd97ea,
+    0x70440d72, 0xee444a70, 0x3dce0e64, 0xa7ea087b, 0x7e73319e, 0x23fc0405, 0x4d8064fa, 0x61b46a59,
+    0xc6f572dd, 0x8a544e02, 0x30af6b82, 0x3a3490b3, 0xb4f23580, 0x41e9ad87, 0xff75c9a6, 0x6b6d56d9,
+    0xf3ebf8f4, 0x269555cb, 0xe01bc847, 0x4639ec2a, 0xd5f07215, 0xf31e2a3a, 0x84ef863b, 0x63684c9c,
+    0x4d7dc531, 0xe8272a4f, 0xb8dd4476, 0x3dff5d09, 0xf5e340af, 0x48c6e4e7, 0x1e822cd1, 0xadc12280,
+    0xbcf5ba55, 0x74626dd5, 0xe63b763d, 0x44053c03, 0x6ef9e2aa, 0x133e26b1, 0xae751ead, 0x455da00c,
+    0xb5853196, 0x3a0805aa, 0xe77f70bd, 0xb05b1722, 0x709adee3, 0x8a13e648, 0x5c05a3bc, 0xf514daa6,
+    0x598d4f07, 0x4bdfcf60, 0xc2deaf0f, 0x82355879, 0xafb00c5b, 0xb381b013, 0xce550d6e, 0x3ddea18d,
+    0x41587916, 0x56fff5b5, 0xd0e083d2, 0xcabd7594, 0x27c76d6c, 0x67173cba, 0x8335130b, 0x3a8a27be,
+    0x1349c242, 0x56a64734, 0x2568e62c, 0x0aac3a45, 0x13deb80c, 0x254a808b, 0x2b82b41e, 0x19e82895,
+    0x72a217fe, 0xe9a7dd5e, 0x53933212, 0xb528f78b, 0xf960c671, 0x6412baf5, 0x3effbf43, 0xd805ffd2,
+    0x34336063, 0x4e903b85, 0x6855cfe7, 0x79864602, 0xaf226e7b, 0xd23224cf, 0x8aae0ec1, 0x264f5a4e,
+    0xe0c957a9, 0xe9c5dc5e, 0x57de62b3, 0x4396f79c, 0x09199b2c, 0xa34bde9f, 0x98b3abf4, 0xaca82220,
+    0x13b9999c, 0x29f5404e, 0x6907bebb, 0x98c6a077, 0xea58627b, 0xcb7567e6, 0xad2e84ca, 0xf03a16be,
+    0xd0a39783, 0xd5b76e35, 0xd8e35329, 0x5fad93ab, 0xb343a7d5, 0xbdfcdd84, 0x1d386f3e, 0x9a93dec4,
+    0xaf17f41e, 0xab7890c3, 0x523e0f8d, 0x2a16248a, 0x3d6e16f3, 0x9f11521e, 0xce79a5f8, 0x65ee5d3b,
+    0x94170b6c, 0x19147af5, 0xe688c519, 0x2e4fbe4a, 0x5ff2e24e, 0x7c49230a, 0x99d259db, 0x8a6deb94,
+    0xdb67bf60, 0xf22ffb23, 0x3f30657b, 0x0733890e, 0xf32611aa, 0x9a44ae5d, 0xdb3068d5, 0x96f1bfad,
+    0xf05cca41, 0x2959b406, 0xb78c97c2, 0x5bf7228e, 0xebcc4c4c, 0x27eca499, 0x585c473d, 0x661acb6b,
+    0xd192a7af, 0x80665fb5, 0x3afb7bf4, 0x996cd0cd, 0x820db173, 0x30eee1cc, 0xf266ce53, 0x9c26efa8,
+    0xd7237759, 0x3f9a4131, 0xc6749030, 0xbfd45058, 0x37645779, 0x8e492ce1, 0xfdc7da61, 0xfccbe788,
+    0xd510f3d5, 0x71ad66c8, 0xe754a6ca, 0x91607a98, 0xca725c62, 0xe7ecb78f, 0xca45047b, 0xc469940b,
+    0x8046ee36, 0x53128618, 0xaeaf43e1, 0x46949e7d, 0x4563a713, 0x76be5440, 0x2b3db20a, 0x5ac61f3b,
+    0xf58f2cee, 0xa2e15d1e, 0x058a390f, 0xd3e2f90e, 0xebc2845e, 0x2e8dacd2, 0x34065ce4, 0x21929bc2,
+    0x783c70d3, 0x22bfa13a, 0xa48d8621, 0x37746779, 0xf2408377, 0xaa4e2b21, 0x18ed63da, 0x2cb73865,
+    0xbe300a2a, 0x20e7dab2, 0x7ba6ff77, 0xd01440c7, 0xc689092b, 0xbc9c82d8, 0xe01d75b6, 0xaa63ab22,
+    0xacb52327, 0xdd80212a, 0x46e4e247, 0xdff653db, 0x51d1d950, 0x084c8b70, 0x8cb63b92, 0x7017cb80,
+    0x72023f3f, 0x85402576, 0xcea62d7f, 0xa3f02d21, 0xe5e36dc5, 0xa43ba548, 0x8dab8fd1, 0x61d793e2,
+    0x4c4a9edd, 0x9d0e0919, 0xedff9887, 0x32ab6348, 0x8374c104, 0xe9e09b37, 0x93d0274b, 0xb34bd660,
+    0x90e3bdf7, 0x24c8a5e9, 0xb5f2da4d, 0x87f5b4aa, 0x11ab0871, 0xb9923404, 0x0e64a85d, 0x8085b42e,
+    0x5b2c05de, 0x86287334, 0xe5cc0924, 0xb1e1873e, 0x83ca4dfe, 0x89f757e0, 0x992c0c29, 0x00df7e8f,
+    0xb7b31694, 0xbda45758, 0x5d819952, 0xcd29a05c, 0x3d7f94c9, 0xc8847202, 0x772e23c7, 0xe21692db,
+    0x5aabbf6b, 0xfcf75d84, 0xbf958a1c, 0x56c78bc4, 0x0dba1696, 0xb54e9a6e, 0xc18b1b5a, 0xa2e83de0,
+    0xed7d3141, 0x6686d762, 0xf1a70250, 0x24095cc7, 0x9ab9e1ef, 0x1d9332db, 0xc0677bdd, 0x9a29d4b4,
+    0x023bcd13, 0x6a60db2a, 0xd72d15fd, 0xe285cdc4, 0x084a5693, 0x50c28926, 0x09adbb85, 0xc180ad90,
+    0xe9f84c0e, 0xc697d3ad, 0xf98835d3, 0x4fd24348, 0xfe9aa027, 0x4a496096, 0x1d0b5ee2, 0xd5ff2d5c,
+    0xe2da713b, 0x999909c5, 0xfb20ee0f, 0xb49af59f, 0x6a6ea6c2, 0x2d1989f0, 0x3c75d608, 0x5a2040dc,
+    0x706b23d6, 0x6d81b481, 0x8ea8547f, 0xb9e599f2, 0x8f511b69, 0x09178f92, 0xca68f403, 0xf221c0ee,
+    0xcef0adf4, 0xc7df69d8, 0x6be9a649, 0xbd58d7bb, 0x18702205, 0x7fb9d448, 0x5912e0c9, 0x80c3bd71,
+    0x357d236d, 0xd0ef607c, 0x47ed2c46, 0x3337be2d, 0xd85ebb7c, 0xacdde42a, 0x9b895ac6, 0xd2267d50,
+    0x52b43f50, 0x28a3018b, 0x045be537, 0xc8d59c76, 0x2bb10f4c, 0x6e376bd7, 0xcefe3b63, 0x11c7b89a,
+    0x71053660, 0x2bef5e00, 0x1984b700, 0x55f8abd2, 0x2c785b0c, 0x3329d3a1, 0x17054304, 0x8c7888ba,
+    0x1c56c866, 0xfb48e32c, 0x2057d5bb, 0x6cac2b9f, 0xbd5a3d27, 0x9196ba98, 0x5626f95a, 0xbede36e4,
+    0xa1da3942, 0xb32ea853, 0x279b10d6, 0xa9c4e7dc, 0xc084faa1, 0x0352129a, 0xab9bf759, 0xd4627fed,
+    0xa881f8a4, 0xa7e748dc, 0x00671dd2, 0xeb9f1443, 0xa7e23980, 0x7d5a6294, 0x4c7776f0, 0x9a753b6b,
+    0x9a664ace, 0xb209d9e8, 0x00047cf4, 0x11c0a5fe, 0x1d123ff1, 0x65e50c07, 0xdb7a275e, 0x35da7480,
+    0x63c8a641, 0xb91e0d59, 0x6c1b6c8a, 0xcdc422f0, 0x7ccecb13, 0x350c69d1, 0x5413ce8a, 0xa684d310,
+    0xb83f8b42, 0x367c06a1, 0x6a22a6dc, 0x47f5cc48, 0xd3627b96, 0x2f937472, 0xf7bae3d3, 0x1f938ea3,
+    0x149872c3, 0xf4790b3c, 0xc1974ca0, 0x06078ad7, 0x4ef6e6a9, 0x4b56efba, 0x11eea72f, 0x17abd545,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000001237940039285380274899124224 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a8, 0x0db6a047,
+    0x00000000,
+    0x81f2231d, 0x2e6bc21d, 0xf4445879, 0xa15724b5, 0xa362484c, 0x94a2ed3a, 0xa00f048f, 0xc55ad2e5,
+    0x01078f47, 0x9ee7afbb, 0x3965a114, 0x44e459f7, 0x647553b4, 0x50c275a9, 0xa9b8967b, 0xaed87cb4,
+    0xd1d2c5b2, 0x41edda6d, 0xb4aa49a6, 0xe6b47be1, 0xbf1b53e6, 0x817450ba, 0x2662812c, 0x36634f01,
+    0x4d4bf3fc, 0xc7e737ca, 0xf70347a2, 0xe773099b, 0x28ff3acd, 0x86ab5208, 0x29438282, 0x592f5ec8,
+    0x185b6efe, 0xe96c02c5, 0x3031212a, 0xf3073ddb, 0x65aeb1b5, 0x76d008a4, 0x0e7c25a0, 0xe9417899,
+    0xe060d820, 0x306d77c3, 0x25f0e806, 0x21678410, 0x6ae08844, 0x35fa9643, 0x9d3fce33, 0xcb044355,
+    0x21147847, 0x655dbdda, 0x059935d6, 0x0a2d0bc4, 0x0d728291, 0x47b0a8c9, 0xd6c7c511, 0xc19aa9a9,
+    0xa6f9f1e3, 0x76a964b9, 0x7d6c8c26, 0xd3e22373, 0xc8974d5e, 0xfffbb4d1, 0x35e90776, 0x03424d3e,
+    0x949f6217, 0x406be70c, 0xa79193a8, 0xfa3f6d2a, 0x44086065, 0x90b933e5, 0x4df2c5c7, 0x90a1f69c,
+    0x206f0eb4, 0x1a31f07e, 0x3a6c83d6, 0xbdddfa53, 0x527deaf9, 0xe366e715, 0x632b6a55, 0xbdeafbde,
+    0x519adbdf, 0x6901cb3f, 0x1d8f3ac0, 0xfb76f20d, 0x412054f6, 0x5b163729, 0xcba07d58, 0xb3852815,
+    0xa129c2ad, 0xc71a31ba, 0xf4fb86c7, 0x7e2941f5, 0xd95735cb, 0x4517e25d, 0x2889b72d, 0x6f5251bd,
+    0x9e345abc, 0xe359d12d, 0x4e9ed5a4, 0x3d5120a1, 0x125ca0e2, 0xa5ea09c5, 0xb5593ede, 0x9a5a6811,
+    0xe2f49109, 0xfdc309e9, 0x7c4dafe0, 0x7c31dc5b, 0x4b6524de, 0xf5dec516, 0x6df94571, 0xa75b0133,
+    0xe8ec6286, 0x455c3444, 0xd9046db5, 0x2155b32a, 0x349d54bc, 0xcb8e6566, 0xa708ea52, 0x857be105,
+    0x2359c461, 0x6e916c80, 0x05de2d22, 0xb4a7ab96, 0xf17cb1e7, 0xdaca73b7, 0xe5a4300d, 0xc1bc4587,
+    0xbe489fca, 0x2b0d453d, 0x9ff9632d, 0xea7b727c, 0xc26fb859, 0xbae7455e, 0x9551b364, 0x18700945,
+    0xb3b9ead7, 0xd428adf3, 0x99dacb00, 0x0519fbbc, 0xb6533fda, 0x9543e400, 0x0db6ab6a, 0xd1336120,
+    0xf970eb92, 0x9ac97f89, 0x3547a626, 0x933b8620, 0xb520a82e, 0x859d5f0b, 0x39bff796, 0x9f4b4fd9,
+    0x75b68ee9, 0x3ac960bf, 0xfbaabe98, 0xa45ec782, 0xea23c0f9, 0x1f0dc54e, 0xb033823a, 0x7ac96c17,
+    0xdefea646, 0xb5bc497e, 0xb232c29f, 0x94b87c0c, 0x8858c5cb, 0xa175527d, 0x5fa6b81d, 0xbabd0cf3,
+    0x34cb13d3, 0x5c96c137, 0xb998187c, 0x758d165d, 0x1eb21abe, 0x9a350f5f, 0x27e38317, 0xb313bad4,
+    0xecaec3e4, 0x02c21b6f, 0xecca08cd, 0x874989fc, 0xe9ad066f, 0xbc87d58b, 0x7b73385e, 0x0adadfe5,
+    0x5eaaf90d, 0xf9458ee7, 0x47aeaa52, 0x3ae8bfd3, 0x5fcc8657, 0x30fcd2d5, 0xf22e945a, 0xa4f7eb21,
+    0x7c61afee, 0xc87d986a, 0x010cc0eb, 0x078cec2f, 0x25657bc1, 0x912933e0, 0x878417f5, 0x880f690d,
+    0x8ef4c304, 0x65f22065, 0xf999a7c9, 0x31956df3, 0x4ac54e67, 0x27a40206, 0x2d173ff8, 0x82b7f735,
+    0x870024fc, 0x7b21e0e2, 0xd50e75bd, 0x537ca30f, 0x48f4d631, 0x52668768, 0x88841bff, 0x2d89a69c,
+    0x6c95331b, 0xb12639d8, 0x2ae2b2a1, 0x82a00b9d, 0xab19958d, 0xcb0b8be5, 0x8826be71, 0x0b1a31b7,
+    0x4990b6c8, 0x41cf59e0, 0xc43250f5, 0xdb9d9b2c, 0xc8f33dd4, 0x88e7dfd5, 0xb879f76a, 0xaa2271f9,
+    0xb2c647c6, 0xf1866f29, 0x81a9e3fc, 0x2af9bc6b, 0xf0f89407, 0xbdee23bf, 0x9bfb1763, 0x32804314,
+    0x93c65dae, 0xc2975a3b, 0x77a539cb, 0x9baa10f8, 0x6a2ec6a3, 0x5d00677c, 0xb3067a31, 0x1917b96e,
+    0x8b310dca, 0xf8ac61fd, 0x29d29983, 0xbe52a3d3, 0x85faf701, 0x76475fad, 0x3fb844af, 0x92ea5dcb,
+    0xf8fc3a6f, 0x8e0c09f7, 0x460b1a17, 0x8241d44a, 0xe45e5c2e, 0x6aeda780, 0xb0f70fad, 0x1b32e9c0,
+    0x93e26ba0, 0x4ed5877e, 0x94855b51, 0x59d1b3fb, 0xaf8d6152, 0x0a4c5d37, 0xc22545a6, 0xefe685ad,
+    0x654cff78, 0x6cb0c71c, 0x76df11ab, 0x8a5b4601, 0x17926fd3, 0x94b7f61b, 0xc74bb0d8, 0xeb336455,
+    0x15cf4b69, 0xdf5eaa3c, 0xb0e7f851, 0x9cd3558d, 0xc9379826, 0xc3bda94f, 0x674fd0d2, 0x04b465de,
+    0x069e0b1a, 0xe545ac37, 0x0a87e4f7, 0x95b52556, 0x0c307aa6, 0x5900bf7e, 0xfe084ea1, 0x6e9fee08,
+    0x1e63e50e, 0x251edd22, 0x37a15bfb, 0x2d3327bb, 0x4db61e59, 0x69aa31c2, 0x75cbcf65, 0x30d0ac23,
+    0x7e976fd7, 0xc8dbfc13, 0x67c5629b, 0xd742125a, 0xc4b7c3af, 0x763adca0, 0xd027b551, 0xa71a1b41,
+    0x04c1d51d, 0x61eca758, 0xc7a74184, 0xfca61cab, 0xa8b19a09, 0x729e18e2, 0x229b8b3c, 0x848f022e,
+    0x6e50de27, 0x361e571f, 0x5dfc208b, 0x9313bd0d, 0x5c5adcf7, 0x5d157bc2, 0x8702666f, 0x4260828b,
+    0xf2e7f04d, 0xd565bef8, 0x082f4a90, 0xdad57428, 0xcbe5b4e2, 0x597895d4, 0xf286d893, 0xab4986b0,
+    0x554bda53, 0x74603106, 0x7c21ab51, 0xa94df4dc, 0x2a388ee2, 0x0531dc4c, 0xb87f7149, 0x40643c72,
+    0x8beaaa07, 0xdaeda433, 0xd9cdc520, 0x84ebfe98, 0x3ac391b3, 0xaf54216a, 0xfa7a27f1, 0x060b0d37,
+    0xbdda41b2, 0x6f5931ef, 0x5ddec3dc, 0xee3ee323, 0x4b62f301, 0x3d7ac1ca, 0xd2375230, 0x3324bd74,
+    0x4e2b8f00, 0xc7a65cab, 0x371ad312, 0x583d0620, 0xdea42cc6, 0x6c83421f, 0xf006f227, 0x8115a010,
+    0x1f36ac04, 0xbf929411, 0x0b9d606c, 0x8a046b06, 0xd1ee5d07, 0x2df1b399, 0xd484db14, 0xa2113a88,
+    0xd2baf065, 0xd76b68e9, 0xea74c39d, 0x418ff6a0, 0x442532bc, 0x9835c184, 0x89d6a459, 0x7b79b1cd,
+    0x3b8b7cf7, 0x295b04d1, 0x012423d2, 0x5ebcd73f, 0x4e600690, 0xe935bfd8, 0x6190f455, 0x5398ccf5,
+    0x691964a1, 0x7f7c6e24, 0xaa5a73fa, 0x2c5391bb, 0x39593c1e, 0x80932600, 0x48f0adeb, 0xdef437b5,
+    0x7a374644, 0x4a365465, 0x50eb7be8, 0xd383d2ec, 0x71af71ef, 0xc78393e3, 0xacce3191, 0x73dc7523,
+    0x32a1f98f, 0x55cd450e, 0x8d143c3f, 0x3a285b17, 0xdd3410f4, 0x3649d3b7, 0xcc70d344, 0xad7326b9,
+    0x9b29a3ab, 0x313bf756, 0xe65ec375, 0x732741fb, 0x68645406, 0x2dc849f7, 0xa7b7de69, 0xe772382d,
+    0x76d39b12, 0x0777800f, 0xd31386be, 0x16e63f8b, 0xd70cc640, 0x021a635b, 0x9b924e50, 0x77634e31,
+    0x4a7c060b, 0x7e0da09d, 0x790dd007, 0xe3d997eb, 0xf003b6bb, 0xb6c48526, 0x65364d4a, 0xc662fe3e,
+    0xeb4f8c5e, 0x772350cb, 0x51f5b0b1, 0xed51b6d1, 0x26eeee80, 0xb630547f, 0xac88c5a5, 0xe17a1361,
+    0x64ccff3c, 0xa47ab1b5, 0x9114c865, 0xd14ab498, 0x195c842e, 0x67d31560, 0x8f43b008, 0x70ae66ca,
+    0xcbcaea0f, 0x2c1e709b, 0x4f7db78c, 0x8326f349, 0x2ef8382c, 0x7733c0c8, 0xeba11590, 0x84679b85,
+    0x919a3409, 0x781b2aab, 0xf917da90, 0x00bc418c, 0xad29bd11, 0x6df5b23d, 0x3720a0b7, 0x75da2704,
+    0x04aeee20, 0xd4e13ddf, 0x57e4b646, 0xebe0df82, 0x58b8c62b, 0xa8bbd941, 0x5e0efa4d, 0x65519897,
+    0xb6a3581e, 0x80355e17, 0xa770c7bd, 0x3bbc4150, 0x5af9d04d, 0x5cfe1826, 0x96b9e482, 0x340c1a8c,
+    0x984b171e, 0x806e71df, 0xfba7e849, 0xd70173b7, 0x5c8a2113, 0x8686821f, 0x6b6e36cb, 0xe2c3d6b4,
+    0xd8d0b0cb, 0x1d72ff55, 0x8b06addf, 0x2e5adf9c, 0xf594d8d5, 0xeda0119b, 0x6850d770, 0x3b8fc071,
+    0xed651c13, 0x4855d505, 0xcde73e3f, 0xe28c0417, 0xc7e6e2ec, 0x69fb33bb, 0x93ce53b7, 0x0f3cb704,
+    0xfa7a71d8, 0xfd8ca398, 0x364be992, 0x56459f38, 0x152faf2d, 0x045cb26b, 0xfb93bbfc, 0xb0bad889,
+    0x914bd07a, 0x2811f170, 0x88b31830, 0xd7bf07d9, 0xa7b6b553, 0x07240f5c, 0x661db91b, 0x3ded843c,
+    0x5142df91, 0xd328f566, 0x6a9d1dce, 0x0b3ca657, 0x0d3141ff, 0xf8ca7c91, 0x7104ee4a, 0x16b60f56,
+    0x95dfec82, 0xb86c83a1, 0xdf6285af, 0x1682a6b7, 0x6595cbf4, 0x36262edc, 0x3b6d77e4, 0x52320ec2,
+    0xd7730006, 0xa0eec975, 0x1777cb4d, 0x8496edc5, 0x2e76f018, 0x618a1664, 0x87cc9b61, 0xb6244358,
+    0xd5ce124f, 0xcc3ae822, 0x10522be9, 0xfc679bc6, 0x8ab86b99, 0x8986f049, 0xf6d7db90, 0xf2e5e468,
+    0xe6c4432a, 0x9c517e0d, 0xd9784afd, 0x9fdea341, 0x628cc119, 0x98c0db73, 0xf8eca06b, 0x623b6866,
+    0x26b63d40, 0x1222f39f, 0xb1fe501a, 0xb704403a, 0x83b54e3d, 0x4c81e279, 0x14ec5bc9, 0xea3927b8,
+    0xf970b45f, 0x393d6f71, 0x349ac9f1, 0x7dbc5958, 0x555df217, 0x80a1a6ad, 0x77c99cac, 0xc5a48bc2,
+    0xc05b5c1e, 0x055ee438, 0xd1f388b7, 0xcd9b4093, 0x1c4641cc, 0xb43d4394, 0x5fe5659c, 0xe1b20ddb,
+    0x9f2588ee, 0x458a37ca, 0x27c1e1b6, 0x4fd2d131, 0x3de3d8ab, 0x2ac6e12f, 0x8053b89a, 0xaee76c25,
+    0xa8b01b72, 0x4f56c641, 0x41693a6b, 0xd80e8d1a, 0xf1d40abf, 0xec69c92f, 0x87d30960, 0x4914b7c2,
+    0xe2e0e867, 0x7c7b019e, 0x7e7b6cea, 0x84b81908, 0x76dffe61, 0x91569f62, 0x33028bfd, 0x117fd723,
+    0x1c7cbf02, 0x748a0061, 0x0224d396, 0x7fd2dcf7, 0x41228b8f, 0xa9c46295, 0xbbc62022, 0xb0eea187,
+    0x1a8bf8ae, 0xcdba6827, 0x3153dc21, 0x19be75a1, 0x7b3cc636, 0x88502f91, 0xac151cc2, 0x8f514ef4,
+    0x3bd3a867, 0xda4a978a, 0x3790ad74, 0x9f68b981, 0x2392b541, 0xb544e232, 0x74f755e5, 0x60642d1b,
+    0x3bc74f65, 0x7305f6ce, 0x16ac982d, 0x57257afc, 0xc9423408, 0xfc9e820b, 0x79a745b4, 0xef77e226,
+    0x911c0f4c, 0x75e170bc, 0xc5ddbac1, 0x7c55e75d, 0x0a912646, 0x3c34de5b, 0x8f6c822b, 0xc726101d,
+    0x28077f94, 0xd028d317, 0xf3018d0d, 0x6d73ed52, 0xf8b34806, 0x2644f0a7, 0xfd1f4dfb, 0x8d544610,
+    0x821516c0, 0x4a27a967, 0xfe5c9643, 0xc037d4bd, 0x1684e9d6, 0x803d8fc3, 0x9e0a2488, 0x6aa78f9d,
+    0xfa293201, 0x85d864ce, 0x56bdfc1a, 0xf6afaa97, 0xc918f261, 0x5244e275, 0x69839ced, 0xa7871318,
+    0xae02f70e, 0xd2a5de31, 0x90e1237a, 0x0253baed, 0xd0f9006f, 0x40c9642a, 0xf6761b80, 0x3384b698,
+    0x35bbac45, 0xed0796ee, 0x3be233c9, 0x91f82025, 0x0e01df59, 0xa1c53ad8, 0x1a2c7307, 0x8c83931e,
+    0x72ac7f03, 0xf3a989c7, 0x8b885fee, 0xf04e82b7, 0xa4123dbc, 0x110357a6, 0xf2160e1e, 0xc63bdd53,
+    0xb3593cd7, 0xcbad780a, 0x447ed742, 0x1863813e, 0xa9210c0d, 0x8d239bb0, 0x12836efb, 0x1fbc2aac,
+    0x74f2305d, 0x2bb3499f, 0x7ff6a3db, 0x2f6bcc94, 0x605b511a, 0x0dcff4cd, 0x48f940dd, 0xb23cfd72,
+    0xb3fa4eb5, 0xc556acff, 0x6aa2d690, 0xe2a7d556, 0xebffe769, 0xcf8b6104, 0x12dd645a, 0xafb39d54,
+    0xefea18fb, 0xd3ca90ce, 0xa06751fa, 0x30c34426, 0x4bb458bc, 0x09b8d3c4, 0xc93b28cd, 0x474b685c,
+    0xddb99e94, 0xcf9254b0, 0xe8877635, 0xd9a052e1, 0x8580add7, 0x988933da, 0x170bfd80, 0xba162645,
+    0xc4349220, 0x84f840ec, 0x7dbb342c, 0x25ca91bb, 0xae4de536, 0xa7c98f6f, 0xa77aa4ff, 0x004cfd47,
+    0x5e548c98, 0xe39d7229, 0xe3e699b9, 0x2e583986, 0x1e798274, 0x35b16b62, 0x63e111a3, 0xf050a0cc,
+    0x3188f4eb, 0x2ff93dfb, 0x9a2482e5, 0x2b3420d1, 0x84b2e2ea, 0xabb9b47c, 0x1015eb5b, 0xa3905f37,
+    0xcba6d5e3, 0x5e97c6e5, 0xdb54b144, 0xb5a6c897, 0x789b8832, 0x3b79dd9d, 0xd0bd8aa2, 0xec886033,
+    0xe0902850, 0x047fae2c, 0x26fa97ec, 0x526e9844, 0xd6fc116f, 0xd0736b79, 0x840ff638, 0x501bebf0,
+    0xa1f64265, 0xa7820622, 0xbf0888ca, 0x533e3c58, 0xe6a73201, 0x5b3bfe5c, 0x253e0dd8, 0xe50832a2,
+    0x7fa72d70, 0x9c922eb4, 0x01a04998, 0xc82022ce, 0x916a0713, 0x24b56418, 0xe66d0776, 0x992fc939,
+    0x61d14e84, 0x1f827721, 0x4b9d2dc5, 0x673dfd72, 0x4147e849, 0x38e1a19d, 0x07cd9637, 0x26dfc33e,
+    0xa4a54b6b, 0xb213de7e, 0x763b4dc4, 0x958dd47d, 0xdef80a61, 0x92b9d907, 0x689f709d, 0x88a05d1a,
+    0xf5ff6d66, 0x8d4c2799, 0x6c584784, 0x5ef0e4c4, 0xc3cf7766, 0x8c66962c, 0xc8f7bc24, 0xd2944aa4,
+    0x39cfbc6c, 0xca7b342f, 0xebc846ef, 0x8c79fc4b, 0xd6691ec9, 0x8321ebc1, 0x109e73b6, 0xb468edb9,
+    0x5c31d620, 0x2b32a8b4, 0x0a1d5c82, 0x17fa527e, 0x0e31cf20, 0x9f205e9b, 0x7613b717, 0xb4e58043,
+    0x6f087fb7, 0x9ff8dc42, 0xd805d22e, 0xdec68cad, 0xa0677112, 0xa35a73ed, 0x04a0f148, 0x47ff1c2c,
+    0x5d2efae9, 0x8b844031, 0x343ef097, 0x788b4835, 0x44b07024, 0x64e5b089, 0x0d7b03f0, 0x64c0bdf4,
+    0xfd9d45ca, 0x896a1193, 0xb5f51747, 0xd251e97a, 0x221f6ae2, 0x6af1ba9f, 0xf6f24ea6, 0x0f18f1e5,
+    0x39368c9f, 0x69707214, 0xe4a9c3c9, 0x36122317, 0xff21e78f, 0xdd41545d, 0x75ad4f2d, 0xea0c523f,
+    0x7d83d510, 0x47826565, 0x61647129, 0xfa302beb, 0x5cca02f4, 0xee402bed, 0x31bb3366, 0x1e9c0f7b,
+    0x6e37cb94, 0x980eea5e, 0x93632abf, 0x3e6d7f43, 0x60a17165, 0xb062de19, 0x58de0bb4, 0x062eb2a0,
+    0x7b7b5667, 0x13df8151, 0xa40dcade, 0x936d85c8, 0x713ee950, 0x0d75c927, 0xbeed706f, 0x94914f9d,
+    0xa962b25a, 0x4cbd4864, 0x611edcca, 0x3ac58eb2, 0x355d80e1, 0xb105fe95, 0xa02d2e11, 0x5e3dc41a,
+    0xc547fb43, 0xe9613917, 0xcc06794a, 0xa037e6e8, 0x86e54c80, 0x67b5f8bd, 0x0bccbf49, 0x362cadcd,
+    0x3072a094, 0x2c90dd81, 0x5c217b7e, 0x7cdb2a89, 0x44601195, 0x6c2d95b1, 0x5ea91341, 0xb931ec5f,
+    0x5834b85c, 0xd707c84e, 0xdeb2663b, 0x29248653, 0x50cef06d, 0x937d3a69, 0xf3337926, 0x1ba3b217,
+    0x8951b0ae, 0xe2e85fe9, 0x03c90f62, 0x12b0d3e5, 0x3b9bc408, 0x2de6a02f, 0xf5cf5245, 0x1917dd84,
+    0x442d4999, 0x0426ed50, 0xe8edd5dd, 0x4c216916, 0xc5608b6f, 0x86189cfa, 0xf1483f96, 0x91c3586f,
+    0xc40682b9, 0xb82e66f4, 0xcb77beaf, 0xb76be903, 0x040cf272, 0xc351c23d, 0x93f42209, 0x0e53c09a,
+    0x2a64e69c, 0xb2aec1d9, 0x900c03c4, 0xefd7042f, 0x7ce3f828, 0x46579ac0, 0xb4740024, 0xdba62ecc,
+    0x8de9720f, 0xfe8ab76a, 0x20e75989, 0xdd918663, 0xffba3459, 0xea1fd18d, 0x98731897, 0xe359cbb9,
+    0x38ba31f8, 0x18f9b9c9, 0x51e21669, 0xbb1f9836, 0xce2e7d22, 0xd8c22ade, 0x1c9d075a, 0xe3bfc2de,
+    0xa429affd, 0x320a385c, 0x99a8b386, 0x0d1c9cfc, 0x0ddbe2bb, 0xacead4db, 0x8baa5247, 0x92c57c15,
+    0xf2e49b5d, 0x70d32104, 0xf711efb1, 0x002a1127, 0x928c7576, 0xd443d931, 0x435bb247, 0xe23d3521,
+    0xcdf6a2e7, 0xa13b221c, 0xd53552e4, 0xcdd9a6c0, 0x650beef1, 0xa1645563, 0xc8c85473, 0x0659bbf3,
+    0x4a7d3a3c, 0x8acd782c, 0x0125cf7d, 0x9c3281e8, 0x27ef7362, 0x93d18c94, 0x72611c49, 0x39ed285f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000618970019642690137449562112 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d4, 0x06db5023,
+    0x00000000,
+    0x80f8210e, 0x86cbf64e, 0x27eb949b, 0x6ac02fb3, 0xae9de8db, 0xa0cc9253, 0x627c14bd, 0x95856d16,
+    0x6f9bdc9a, 0xde02880d, 0x8d7e5844, 0xc42c14d6, 0xcd0352be, 0x633c7f8c, 0xad6c9f17, 0x1d89c9c9,
+    0x53b273c4, 0xc9350e85, 0x1698b56f, 0x16350707, 0x70c950ce, 0xd536bfc3, 0xef531e4e, 0x647dac20,
+    0x4560cca1, 0x746d2953, 0x6ae186fc, 0xc9966924, 0x9e432b5e, 0x620035a4, 0xb21b76f9, 0xe7f0e83a,
+    0x70382242, 0xcd0986eb, 0xd87e5047, 0x5e11b00e, 0xe4d47003, 0x607fec64, 0x6ed5e382, 0xb6a142a2,
+    0x1d767f26, 0x71d777ab, 0x7ca77d78, 0xeccdf449, 0xb18315e9, 0x53e1f2fb, 0x7c2579c8, 0xcab9ad45,
+    0x533a3fbe, 0x491cb82a, 0x4d2bb0cb, 0x6a7dd8f6, 0xfbd41323, 0x9eec9fbe, 0xa3bb020c, 0x494cb06e,
+    0x2b753d75, 0x042c5336, 0x9fe9ab0d, 0x9f5ad448, 0x0351a2af, 0xa8aa7498, 0x4161962b, 0x7aa34552,
+    0x1af21af4, 0x2f8a7d30, 0x4bee158b, 0x12e40f6e, 0x07eb77a6, 0x9f48a81e, 0x4b3443f8, 0x1e75e72e,
+    0x5678d1d3, 0xae558994, 0x365daf05, 0x4d9979e2, 0xebe202fc, 0xdc1e9e59, 0xa99fcec6, 0xd8f82b5e,
+    0xacf9c401, 0x97588803, 0xb06316c8, 0x8fd5bbef, 0xaae7f330, 0x1d47cefc, 0x3a6aed64, 0x5295ee52,
+    0x6fc4d3b0, 0xd08e1e0b, 0x88a7a6b2, 0x71536551, 0xa51b1417, 0x5bc61b00, 0xcb158e27, 0x1ca056cc,
+    0xd036e367, 0x6c9c1855, 0xe95b0d01, 0x1c64c376, 0x9d8f6700, 0xc5634d0f, 0xbf7c4072, 0x455fd942,
+    0x6dde5e63, 0x120a5c5c, 0x6005eddc, 0x49f02084, 0xaec8756a, 0x84d591ec, 0xe6360459, 0x1b47e55c,
+    0xeeaca94c, 0x5f48db19, 0x1a78974d, 0x5445e73c, 0x144f12b8, 0x193cc21c, 0x1bc7dbea, 0xfd72b37f,
+    0x641fa0e1, 0x8c6b1fde, 0xa17de5d2, 0x21b2770b, 0x254d665d, 0x2e0aeb6e, 0x07cc4fbc, 0xbd0426b7,
+    0x0c6eb7e0, 0xf1805d0e, 0x363efde1, 0x1a892fe0, 0x124858b3, 0x906e30eb, 0xf57fe5ee, 0xbe386bc2,
+    0x41177f5e, 0xd74e8dce, 0xdbd49852, 0x584f7a83, 0x229bfe28, 0xa152350c, 0x4ff5226c, 0x2ae34974,
+    0x44409943, 0x48a1507a, 0x111fc813, 0x7ddf1915, 0x4b34d602, 0xaaff18b3, 0x89105845, 0x0bfb5845,
+    0x66139e51, 0xc45bde00, 0x6e39721f, 0x9fe4c6c4, 0x1ff3ae75, 0x01416f7d, 0xb49a8710, 0x3cc428fd,
+    0xdd0004a2, 0x7fb37130, 0xbcb46250, 0x0d0466da, 0xf29c3296, 0xd4437d0f, 0xbf0472cf, 0xb81204ae,
+    0x93d7d6e8, 0x100dada8, 0x0e19362e, 0xfe1911d8, 0x425e9e9b, 0xeb1cb738, 0x717c57ff, 0x7a494ca3,
+    0x6cbfb4e1, 0x68a648d6, 0x80337dfd, 0x2a2edb20, 0x0aa953c8, 0x352a542d, 0x8e68c991, 0x2722c2e5,
+    0x1d1054b7, 0x2d328495, 0xd54ced14, 0x1eafee31, 0x9189b7b6, 0xd7297b7e, 0x23021036, 0x897cbd40,
+    0xa8b59dfc, 0xb5f3b0eb, 0xea693a9f, 0xcbcdb71a, 0x1f619932, 0xbc0da707, 0xc99ba48b, 0x22f82f36,
+    0xc079b4e5, 0x65eedf85, 0x087ae7bc, 0xf53f5033, 0x45270053, 0x0b80af30, 0x82840a7f, 0xfbe0479f,
+    0x8e03ae84, 0x2d4fa757, 0x923d37c9, 0x753550e8, 0x8a34e4b3, 0x3e72344a, 0xe15a7952, 0x714840c5,
+    0xb7c32009, 0xec9cc50f, 0x10d6696e, 0xc35d409a, 0x6c0cd2ba, 0x65b604f0, 0x1a50ecf8, 0xa10dfdc1,
+    0x7447715f, 0x778e3305, 0x4812790d, 0x0246494c, 0x206a5f64, 0x3e26432b, 0xaa56206e, 0x6960fd9c,
+    0x6d24df68, 0x8b0247d9, 0xb2fc24a3, 0x3521642d, 0xb54336ca, 0x48860ea7, 0x58dda2b7, 0xaab72663,
+    0x717de3e7, 0xbe116b89, 0x1edb51a7, 0x6bece75e, 0xcf1a6dbe, 0x15c2c6cd, 0xaf9637fc, 0x54f5efad,
+    0xed154e17, 0x7dc627f3, 0x96dfa843, 0x09b7fe86, 0x4733ce4c, 0x8c12b957, 0xe17e9162, 0x14235521,
+    0x92428bfe, 0x355a2078, 0x16c55916, 0x4f3e4603, 0xbe38b43d, 0x4ab6ab9f, 0xdbd9157d, 0x61973588,
+    0x1b96782e, 0x57845390, 0xb22366cc, 0x2b9a9226, 0xe3ea8864, 0x5dc9746d, 0x6c4e85aa, 0x3c53f6f5,
+    0x20a663d3, 0xc65f0615, 0xba246d76, 0xf1e361d9, 0x7258b277, 0xaa16716a, 0x42b49ed7, 0x35a04f7c,
+    0x01a62c27, 0xee176141, 0x159dcfcd, 0x7441a055, 0x986f17f0, 0xa9fe33f2, 0xcc74d8d8, 0x7ba38da2,
+    0x1cf9975f, 0x145181c4, 0xfc5712f7, 0xa5b43005, 0x57de1431, 0x8b20a8d3, 0x76147526, 0x2ef44f76,
+    0x4877de2c, 0x1c2cd6d9, 0x5281eedb, 0xe63eb5d9, 0x304c88d7, 0xcaab8665, 0xcc8f2f13, 0x563a4e4c,
+    0x4707bbc2, 0x3a49ff0e, 0xfa097f1f, 0xf0cb50eb, 0xdd321cd8, 0x8a84c209, 0x925ac709, 0xf01e8dc3,
+    0x24c7c664, 0xaab560ff, 0x32b25f36, 0x0f5241c8, 0x5c295c63, 0x78e65c10, 0xbe400979, 0xf7f17352,
+    0x74b4f7ae, 0xe0cfb02a, 0xcadd57ca, 0x46a1cd06, 0x9d5bf767, 0x5b5d86c0, 0xd0a20fe7, 0xa2cc9579,
+    0x5f64fc5e, 0xc70b4a06, 0x9434c9d2, 0x6f8d1dee, 0x6e55bb97, 0x13a4ff73, 0xc8b4e128, 0x3cc6ae02,
+    0x85c580d8, 0xc572fd70, 0x2309e05e, 0x995d9ff4, 0x499e40c0, 0x6adf87f4, 0x9e2ab992, 0x76b25d07,
+    0xa99095fd, 0xfcc6a0bc, 0xce908621, 0x817b411a, 0xe3526ab6, 0x35cb3f99, 0x3e01ab90, 0x39c7c59c,
+    0x3da315d8, 0x0855a00d, 0x4b0dec6e, 0xc33e68db, 0x3e2c2852, 0x0440c0b5, 0x15120d9c, 0xc981b23d,
+    0xb11c1d7a, 0xb40cb7fa, 0x6f2df2b6, 0xa38483ae, 0x35bac848, 0xd455f375, 0x4b05d3a5, 0xe41617ce,
+    0x38337029, 0xb1134929, 0xa650f46a, 0x4c08e5f8, 0xd3964616, 0x48ff6d5d, 0x34b63cd7, 0xc01ebf8e,
+    0x7d59f7fa, 0x425381ac, 0x0d3b44e0, 0x03512db9, 0x93a5d801, 0xdaa42ce2, 0x766c44f6, 0x5d0dc31b,
+    0x93e1db0a, 0x0e013331, 0x5c6eb1cd, 0x92234662, 0x2878ee23, 0xf44244b0, 0xc8ce342d, 0x01285d7c,
+    0x72171d51, 0x8b5e1e00, 0x817f8495, 0x2b397cb5, 0xae343049, 0x9c31905e, 0x8708f8b5, 0x697b5b29,
+    0x61424cee, 0x30f20288, 0x5d2fc6e3, 0xe6b20a10, 0xd9ee45c9, 0x101fbea2, 0x5a05fc6f, 0x457e5fbc,
+    0x5ad00ea2, 0x1b5478a1, 0x8a747bca, 0x491005a8, 0xa86086b9, 0xc06ff4c9, 0x99124b24, 0x104f36be,
+    0xbedaa677, 0xdf73a909, 0x622f732a, 0xa91082b1, 0x26399c63, 0xe04da568, 0xb204c8e4, 0xa04e656e,
+    0x08ef5fbc, 0x8842b621, 0xb6459a61, 0xc983884e, 0x64ee93ee, 0xe58e5494, 0x9044839d, 0xf6287741,
+    0xfa50af4e, 0x4620c8a4, 0x56b055c4, 0xd0d399a0, 0x992e17d5, 0x69207255, 0x9def35ef, 0xd16a2fbf,
+    0x0b56768d, 0x403977f4, 0xc791198f, 0x78a40709, 0x2df2d11e, 0x90158f78, 0x4e64e417, 0x15349692,
+    0x96de8d60, 0x1cb6b61c, 0x0dafd95d, 0x8c9f33d8, 0xb74e12bc, 0xb65398cd, 0x2046b3bc, 0x2cfe3c4e,
+    0xf49f466b, 0xa51bf286, 0x35642a18, 0xfa9636d1, 0x01a6c3ff, 0x5d638b91, 0xb120fd66, 0x657f0e8d,
+    0x1d839658, 0xe63201b9, 0xbfbc2d81, 0x3247d92a, 0xe9516136, 0xc6f98d6e, 0x3187a35d, 0x8b0acd8f,
+    0xe2c13d67, 0xf93d148a, 0xd15a7f8e, 0xee0f2880, 0x8df35e57, 0xee93f904, 0x71d14aee, 0xb385aa3e,
+    0x6cf35e35, 0x6aade98c, 0xae04a973, 0x8523d223, 0x5d570bfd, 0xc3afa961, 0x9ae6fb81, 0x00c78b42,
+    0xf16b5b28, 0x6773c156, 0x8c9156f3, 0x10e793ac, 0x8114dac8, 0x95d9dab4, 0x04b9db47, 0x6af157bb,
+    0x892337ad, 0xd6b72ae7, 0x8559a970, 0x88664838, 0x6e666d9a, 0x2c0ab9d7, 0xfa2a1a30, 0xfc8fd156,
+    0x1f13ae67, 0x06bfc3c3, 0xf8cced67, 0x67cac0c7, 0xd2d45949, 0x877754b4, 0x3c6a24bd, 0x6aa3b0fa,
+    0x82469d22, 0xa03cbca4, 0xf2d3b864, 0x40041810, 0xc4c8816c, 0xc8e74aaf, 0xa321be8d, 0xfc91516f,
+    0xe86d0a72, 0xf17770d6, 0x45375069, 0xa5522515, 0xce7c288c, 0x93e5dad4, 0xbc8a366b, 0xfe23ecf7,
+    0x16ce9acb, 0x5bc01319, 0xda253319, 0x8247e5b8, 0x8a21a6e5, 0x47324617, 0x811ed213, 0x26cf711c,
+    0x294f2dac, 0xdd086c41, 0x7b85fc79, 0x4e4cfb4e, 0xc929adf5, 0x597447ff, 0x2bc61370, 0x68daf193,
+    0x6d6be53b, 0x78fb1352, 0xf7e679b9, 0x74ba865b, 0xd32cdb77, 0x67b06819, 0xc4c27288, 0x1e30965c,
+    0xe7515b30, 0x0e252e5e, 0xf22a3ed0, 0x84709095, 0xbe65c89c, 0xd14b4e20, 0x0c94cc25, 0x2b63f8f5,
+    0x017c612f, 0x4b15db63, 0x2225e501, 0xe5609a0d, 0xd9197624, 0xf964e1b6, 0xa90cf114, 0x6737a182,
+    0x74cda944, 0x508d82c5, 0x71573846, 0x230a918b, 0x6a1d71df, 0xa28c4a79, 0x77b4e329, 0xb0a2780c,
+    0x83feb26b, 0xe1f8dd00, 0x96f2afd2, 0x0b3bee75, 0x9ab84bcb, 0x392ac69c, 0x85f24fd1, 0x246c2e73,
+    0x0c8211c1, 0x368f3e7a, 0xadc0c3b4, 0x90a2dc2f, 0xb1ec317b, 0xe426a02c, 0x0e832210, 0xfda2a3f6,
+    0xf3594316, 0x457fa754, 0xaa6af222, 0xb19f927e, 0x8a294eef, 0x76f4ec71, 0xf9c218cb, 0x1ba4fcda,
+    0x9bb01736, 0x369f797f, 0x7967c3fe, 0xf72e53fb, 0x080f9fee, 0x163db0a9, 0x77f360d3, 0x7ce965ab,
+    0x921584d2, 0xbc9301a2, 0x38e13b15, 0x45383a82, 0x910537e4, 0x0d6a866f, 0xa919174e, 0x29c9d5ea,
+    0x16b6fcbb, 0x226fa01a, 0x3ca49353, 0x6bc9ea29, 0x81ceccd9, 0x98ff8627, 0xb98a1eac, 0x9d843566,
+    0xcfa35d5b, 0xe1054f83, 0x841cfdfd, 0xc2efe0c9, 0x5707d8de, 0x8ad2ca36, 0x1a3d7b5e, 0x3f712e53,
+    0x73a21262, 0x41fdf38f, 0x0f55babf, 0xbe03b3af, 0x71cb5d38, 0x7603f432, 0xa7a40d8b, 0x54d06d77,
+    0x1bbb2a11, 0x63c2a8fc, 0x3af98572, 0x4d4068c0, 0xd21d5498, 0xd5322aa8, 0x7c35bf00, 0x91b2829d,
+    0xa557b4ca, 0xff6fa9cb, 0x7e023b1c, 0x9e82dbac, 0xadee806e, 0xa5a36fee, 0x91751c6a, 0x106d57e6,
+    0x8138f142, 0xaba57ea2, 0x177a2f56, 0x8ae666c8, 0x1ca97af0, 0x36023ab4, 0xef3d8ef2, 0x1bb73789,
+    0xc7c9c42e, 0x6a80c82e, 0xf1a55999, 0xc9043180, 0x7f38f6ae, 0x0bf3c013, 0x2e592ea3, 0xd3d1c375,
+    0x94b22a85, 0x239dae86, 0x6f3e8642, 0x258201d8, 0xb4f10768, 0xa7b9e51a, 0x1270d4a1, 0xaab3c16f,
+    0xe4c014f4, 0xc534be04, 0xeea178aa, 0xca24dcb3, 0x09e3de2b, 0xa104b064, 0x3a1b0b39, 0xb593cce7,
+    0xeb5a7d5f, 0xa6a72498, 0x9e112d5c, 0x9002dd2d, 0x9051d35e, 0xf918b066, 0xe113f3e1, 0x1fad3f18,
+    0x48a20ae7, 0x57c2b1b3, 0xd3a3bc82, 0xc5ff9e26, 0x82f33019, 0x105a3b4d, 0xe8193e83, 0x582c61ed,
+    0xd501d6ed, 0xcea00342, 0xf64e86d9, 0x39210780, 0xe8f1cd44, 0xf1b512ef, 0x46b3a977, 0x102cc6d2,
+    0x47478bb1, 0x2d31ce5e, 0x33dd8587, 0x2a2b7692, 0x5bcfa94b, 0x9ca8e66c, 0xf11b92f7, 0x358df6e3,
+    0x07f17eb4, 0xd9c763e0, 0xd050ea19, 0x2d8d4a67, 0x15e53a59, 0x096bc976, 0xb8e98ce7, 0xa1ba574c,
+    0x4cdc96f3, 0xe7d6ac40, 0x6d7717a2, 0x128024c4, 0x18342cf6, 0x6eab415d, 0x94b5d73d, 0x9de50ba6,
+    0x8e908094, 0xcab75631, 0x42028e16, 0xd1e6dd05, 0xb8ae3980, 0x20430a8b, 0x99bbf404, 0x0f336d90,
+    0x2e9f434a, 0xb739b4a7, 0x9c53191a, 0xd55b6dc9, 0x307c3f51, 0x838fecd9, 0xb42463c4, 0x12cbe118,
+    0x5368395e, 0x1d1961af, 0xb29e6cf9, 0x1eccd35c, 0x919cb35b, 0x6e505cbd, 0x1d8ca52b, 0x911035df,
+    0x67505431, 0x84b00d7f, 0xdcf28e8e, 0x44822b72, 0x5be58897, 0x2dcb1532, 0x16f773b7, 0x541f0233,
+    0xec65c76c, 0x1389eaca, 0xf1116d4a, 0x081b3826, 0x62e7c8b9, 0xe430becd, 0x2e2725c0, 0x215d1f04,
+    0x0b56aa96, 0x324f9781, 0xeb9651b5, 0xd3593679, 0xc1d54268, 0x5e8ad505, 0xb553f922, 0x8ed27ecd,
+    0x5d88b937, 0x5187f98e, 0x460df955, 0xbcafee75, 0x655aab3f, 0x3f52fb37, 0x2f6d2e30, 0x7fc8fa27,
+    0x55621e73, 0x06a44fe0, 0x669c77cb, 0x2e6f4e8b, 0x070d8795, 0x8c771138, 0x417179de, 0x1a386598,
+    0xbcacb65a, 0xd9e74dc7, 0x7ec732c7, 0xe2e91c0d, 0xa99a48df, 0xf8c9840e, 0xf9a6200c, 0x93ca79fe,
+    0x31597890, 0x7b1bf17b, 0x3e3e4219, 0x8f152217, 0x2393a9d8, 0x0d6a62a8, 0xa2aa0960, 0x891ebaf0,
+    0x31e5e9d7, 0x1c4a479a, 0xa3e994cd, 0xdefb1113, 0xcf499957, 0x647c43ef, 0x45ec24a3, 0xbb86677b,
+    0x29ada552, 0xb5e298ec, 0x6dbd4f39, 0x4832a8e1, 0x747cf76f, 0xef41157b, 0x0e30cca4, 0x5d27d34f,
+    0x2b0eaba9, 0x23a4cc7b, 0x5bbf4c46, 0xc75e850e, 0x511ad94a, 0x4ef78585, 0x2e0cb8e7, 0xd9dfdfc6,
+    0x2ef95950, 0xa05421c0, 0x63efc0e2, 0x7a161db4, 0xcd1654e0, 0xf1facb51, 0x3a5218f0, 0xdd651192,
+    0x6043a77f, 0x2da01f7c, 0x1ec986f9, 0x413dcf0d, 0xf1c496f1, 0x7175d2d1, 0xac145ec6, 0x429c68a0,
+    0x9c965428, 0x185c5788, 0x430b594a, 0x1f4babc8, 0xedef4fe5, 0xa5b537f8, 0x43f0f326, 0x1df28f5b,
+    0xac043e08, 0x05f14116, 0xfddce7d2, 0x64856cb7, 0x3a76e122, 0x4d46c819, 0x443019d1, 0xa0bfb252,
+    0x0e1d7e4a, 0x074ace3c, 0xad39a7c6, 0x08f7d3fe, 0x708650da, 0x4dd87fdf, 0x339370c9, 0x67e2abe1,
+    0xd3b367dd, 0x6cd0e0d3, 0x5adddb80, 0xd451745a, 0x62f7a5a9, 0x3aa1eb6a, 0x8bd56fdb, 0x0d5c5a43,
+    0xdca22c97, 0xb0c64d16, 0xa2407582, 0x90db29c6, 0x5abb6030, 0xb57b509d, 0x5be98820, 0x52b2ae94,
+    0xf1ebe543, 0x64334cf0, 0x995d745d, 0x0bdb68fa, 0x77a8797d, 0x3e3d72a5, 0xd4ee28dd, 0x78fb2c71,
+    0x88b81737, 0x1b4cc733, 0x5395715f, 0x2bbad3ed, 0x98a36d42, 0x718f79c9, 0xd7d84c24, 0x0976b0ab,
+    0x2ea101f8, 0x38d964e8, 0x586cc0e5, 0xe75f5bc4, 0x941b25d7, 0xedbf6350, 0x460f5632, 0x18124528,
+    0x7cd3774c, 0x030a138f, 0xf9e2aeda, 0xdd4b1711, 0x478db750, 0x9d261dc5, 0x3b5698e0, 0xa4e71343,
+    0x2995fe7e, 0xdaac4b61, 0x90218f53, 0x376827d8, 0xcba8a383, 0x9888d1ca, 0x20e72d1f, 0x3a265d1e,
+    0x78751460, 0x008f573f, 0x771c3c20, 0x17c42fc8, 0xf409195a, 0x51f758c5, 0x00a5fd8e, 0xb1a30f1f,
+    0xe7d06378, 0x61bac69d, 0xc1a07883, 0x515d48b0, 0x6aed6acf, 0x7b8ca7d3, 0x8952efd0, 0xb98c9d06,
+    0x2b621ea3, 0x783e962f, 0x760f7c7b, 0x4aab7ce1, 0xbd4b7621, 0x22ab6221, 0xc24b7c65, 0x044f4dbb,
+    0xc079d6a1, 0x268bf473, 0xe4ee3100, 0xd17cd74e, 0x2c1b59f9, 0xd790326c, 0x35dbecd8, 0x8d69960d,
+    0xc3e37edd, 0xe4e4632e, 0x1f255356, 0xad3e26f5, 0x0e1ce57b, 0xa11fab01, 0x38d22c37, 0xf679f10e,
+    0xee08f71f, 0x58e7d6a8, 0xd32c0cc4, 0x072ded65, 0x680697d0, 0x5479150e, 0x4bf1f95f, 0x3bcb892f,
+    0xf7f79568, 0x96801a99, 0x596ab83e, 0xc64d49d8, 0x461efdd8, 0x29a61a11, 0xa807bb56, 0x4e814529,
+    0x44b9be79, 0x407cbe10, 0xd7908521, 0xbb079d8c, 0xeb64d6ab, 0x50a5ea5a, 0x681eb9a2, 0xe2259003,
+    0xd21bc4a3, 0x55368481, 0x92644e42, 0xe37f4763, 0xae073c42, 0x5b8c74a6, 0x75afc5b8, 0x448473b4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000309485009821345068724781056 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8ea, 0x036da811,
+    0x00000000,
+    0x807bd4a1, 0x3fd72b15, 0xf0f41b00, 0x30bbbc5b, 0xbcd5477f, 0xe91aaf4f, 0x727073ac, 0x6d97362e,
+    0xe6b60862, 0x8ae97c44, 0xb61ed6dd, 0xb8edaa96, 0xccc4806e, 0xb02b2eee, 0x8cd72c7d, 0xa4a3872e,
+    0x82b5b454, 0x43121416, 0xd7387725, 0x78a5bd6e, 0x0bf04b43, 0x495396fc, 0x5adca1c3, 0xb64b7e12,
+    0x36a45c95, 0x10d6c5be, 0xd18a5baf, 0xeeeb6fc6, 0xf21053bf, 0xee72c37f, 0xdcbd5b21, 0xdd8f035d,
+    0x9f720df3, 0x1fd4f33a, 0x2340f63a, 0xeb067ff5, 0x887c36ce, 0xe3cda867, 0xb9e90666, 0x169a27e5,
+    0x4703aaf7, 0x9bac981b, 0xfc6f4120, 0x7ac1564a, 0xd32e6bd1, 0x0192d5c8, 0x6bfe1ea4, 0xf4998152,
+    0x137175ca, 0x5365f770, 0x2ceea302, 0x254753a9, 0xdf8b10bb, 0xd0d0a652, 0x93953954, 0x82a4cb20,
+    0x5a919632, 0x7f69f914, 0xaf3fa172, 0xdc665fbc, 0x51541352, 0xc7106771, 0x2a761827, 0xed333ce2,
+    0x62e418c0, 0x4dc6bdbf, 0x194715bb, 0x66b55b09, 0x6f83ee05, 0xc1487324, 0x1777270e, 0x81558f06,
+    0x7756e9d7, 0xdcef4b59, 0x69beabce, 0xd4e6fd18, 0xe9da525e, 0x513fc24f, 0xc0d30d51, 0x0b8e82dc,
+    0xab7409a0, 0x1b0a9584, 0x2e05e0b1, 0x9ff12bca, 0xfd0caf02, 0xf95335bd, 0xd0e611f0, 0xb8b194d0,
+    0x409285b7, 0x48035a58, 0x9e60e7d4, 0xcdae0198, 0xc831d79c, 0x7aa27a22, 0xa9de5867, 0xa6d13039,
+    0x4d05caea, 0x09605afd, 0x16f3e91c, 0xc4e2da8c, 0x155ca0f2, 0x8524ede9, 0xb5d3df88, 0xa539640e,
+    0x59cd4afb, 0xbd19bb1d, 0x65868ad6, 0x27a33d77, 0xc937453d, 0xb0e9fcdc, 0xef81459c, 0x6247a161,
+    0x95f9f26b, 0x15934aea, 0x0edcfe7c, 0xd1b43ea7, 0x7c7b66a5, 0x885e0ed5, 0xdb228469, 0xfe8e8b7f,
+    0xccd58c93, 0xbd232137, 0x4b3948b6, 0xd710cff6, 0x3bac3fb7, 0xad11cb66, 0x785c1ba9, 0x75e05690,
+    0xf7b58303, 0x47d2057f, 0xb7b2312d, 0x2e22e79e, 0x00b05b3d, 0x1397c2da, 0xb0d917b0, 0xde39b9c2,
+    0xeee1366c, 0x5c008850, 0xa94ebceb, 0x74254370, 0x809927b4, 0x45a54eb4, 0xdf1b64a8, 0x72d43490,
+    0x8e064f0e, 0x3c9a2fae, 0x8f6b0c85, 0xba24a771, 0xabde3d7d, 0x14745e27, 0x0a98697b, 0x0dad65a2,
+    0xc86c47c5, 0x76c03571, 0x5b1336a7, 0xe221abab, 0x4cae012d, 0x79f40f5c, 0xe694e766, 0x7a6ed41f,
+    0xcb0007fe, 0x5e51c8bb, 0xd9eef0f4, 0xa1c67d30, 0x196f2261, 0x3ba5cdd8, 0xa678f449, 0x6cabcb79,
+    0xa2cd36de, 0x5f930864, 0xc7b830d2, 0x382dac8d, 0x62a49289, 0x7564f5b9, 0x46f35d6c, 0xdf3a7277,
+    0xed8f0f8a, 0x974b7ab5, 0x212e4bf7, 0x80a1efbf, 0x86b740c1, 0x079e5c2d, 0x739abdf9, 0x6610ff5e,
+    0xf2e5cc41, 0x13cb50ad, 0x77b6b8fa, 0x2dfbf8e5, 0x9b108a37, 0xdcbd3d0c, 0x2e515647, 0x7ff6525d,
+    0x7333ee4f, 0xa44392fd, 0x7a63eb61, 0x390b42e0, 0x1af7186c, 0x893c8f5b, 0x39b8deba, 0x21e8a825,
+    0xc1007d0f, 0xbb42c7f5, 0x63dc743b, 0x20eb1078, 0x515f4487, 0x5bdba8af, 0x8e3ab352, 0x1d51494f,
+    0x1d255c07, 0x9001b40a, 0xd5e38b7f, 0xaf94bff2, 0x887ab968, 0x1d5e3895, 0x31438565, 0x4661865d,
+    0xe7ebec63, 0x1ae73d12, 0xe59079e4, 0x14ff8bfa, 0x120dca01, 0xb9897c58, 0x59613e7b, 0x84328912,
+    0x8ba949df, 0xc2bade84, 0x5516e499, 0x6d11e975, 0x54a5938f, 0x025aabfc, 0x443e3bd1, 0x2197fb76,
+    0x511a0b99, 0x3f4e6fc4, 0xb9cacdb5, 0x19d39a0c, 0x75f0e3d3, 0x897c894b, 0x2b0762aa, 0x1629eae2,
+    0x7f30d5c9, 0x58935046, 0x53bc15a4, 0xc8d518a6, 0xb916cd4f, 0x89411903, 0x4f6ad16f, 0x55d4b9eb,
+    0x7357b88f, 0x34a71968, 0x80766728, 0x183bf74d, 0x80161c1c, 0x3a71a606, 0x972f13d4, 0x21d82b9e,
+    0x860900e2, 0x79f17189, 0x1186c6f7, 0x6831c579, 0x29702627, 0xdd326b60, 0xf08cce75, 0x70794a24,
+    0x611aeb99, 0x88e2ebac, 0x42163953, 0x6d4808b1, 0xc4a752a7, 0xea9da2cb, 0x56c2f9ac, 0x29ccd09c,
+    0xcfa84573, 0xdde0eebc, 0x4b60c9e9, 0x9137d555, 0x3bb54c39, 0xcc42f60e, 0x0b04dda9, 0xd0a91223,
+    0x2969aa11, 0x18fbda86, 0x460599bf, 0xfda38c3a, 0xc6070e79, 0xe3d114f7, 0x2a5578b7, 0x4df4f4ef,
+    0x5b12e603, 0x564fc377, 0xb97ad709, 0xebce5a32, 0x1a9d07c2, 0xdb6edce1, 0x83f20ab4, 0xc93fd477,
+    0x700673ed, 0x02f5a82d, 0x7ff7abd6, 0xece05dc7, 0xf4d99ab2, 0x59c98ef3, 0xfb0791b8, 0x3fd65dd2,
+    0x5881afd3, 0xde618588, 0x7c2d6076, 0xc8342afc, 0x87545399, 0x82b4f322, 0xc2c22839, 0x1b6ca979,
+    0x7a6c5d7c, 0x59e8b1a8, 0xb65994a1, 0x8d10fc6c, 0xf2d614f7, 0x661f4270, 0x0c0319c3, 0x9c2acb70,
+    0x819f201a, 0xb4aac377, 0xf288126b, 0x25bc4319, 0xecf948dc, 0x0bca588a, 0x56a07901, 0xeae10b6b,
+    0xb15ecee6, 0x93b34b2f, 0xbca27c1b, 0x560f65b0, 0xc6eb77f3, 0xda5b5f02, 0x072c4e44, 0x3f82b9c9,
+    0x747302c3, 0x8608bb87, 0xb03c3bcd, 0xc046c05c, 0x8e0b4b26, 0xcb4fe7f7, 0xdd655a81, 0xdf918ed6,
+    0xb90b28a6, 0x13596437, 0x8f9b0abe, 0xa5657772, 0x1c911a2b, 0xc8473b52, 0x54837455, 0xe8fe3b17,
+    0x0fd8142a, 0x2a650e5e, 0xee2ebf50, 0x50250b34, 0x4e371e55, 0x9bd175b0, 0x8f3a6733, 0xbe508a38,
+    0xd6db43b9, 0x5a36d877, 0xfec1bd80, 0xb621e68a, 0xbbc1de8a, 0x0f1af175, 0x8e44f822, 0xe9cccd59,
+    0xc4697af5, 0xdc19da3f, 0x181b42ed, 0xe5cdf00f, 0xbdf5e5cb, 0xdd9c9549, 0x5a9d91be, 0xa66a26e8,
+    0xd1958e60, 0x4bc83bfc, 0xedd2fb98, 0x66273c38, 0x7b419935, 0x15952e47, 0x8b5a35c8, 0x8d442522,
+    0xd9069451, 0xe9eff1b0, 0xa15b4e1e, 0x51705de9, 0xc0ade5bc, 0x0163ceb4, 0xf84f5c88, 0xdc4a6385,
+    0xd3f407a2, 0x4a29a094, 0x132fac53, 0xf763e463, 0xc4367ad0, 0xe18a6cac, 0x69c18022, 0xbfcceaf4,
+    0x7bdbd36c, 0x344ac39f, 0xe3144a09, 0x6c9e79c4, 0xe52b5912, 0x9e8f7044, 0xa4dcefc7, 0xfafb7085,
+    0x7ce85629, 0x865a3338, 0x82826c3d, 0xfb0b09c7, 0x62f1d863, 0xf9b553d2, 0xe4ae5968, 0x98da9206,
+    0x2054b3fe, 0xda38dec0, 0xc83b0f91, 0xfae83564, 0x84a25c7a, 0xf0d78005, 0xc39d87eb, 0x077a5652,
+    0x2f642846, 0x6198f4e8, 0x47571e4c, 0xfb29d780, 0x2fa2389a, 0x4d12390b, 0xef0708de, 0xbf1a56f7,
+    0x9593d1de, 0x9ff4377b, 0xdd87be13, 0xff9b6f43, 0x0326d2a2, 0xe5389e40, 0x9bbd10c1, 0x02d46874,
+    0x0e4c8385, 0xdae057e8, 0xe90cb1c1, 0x4e5c71d0, 0x29818065, 0x6bee7496, 0x7a772f4b, 0xb5c4ddd4,
+    0x1dcd4ccb, 0x0daace0f, 0x1197694e, 0x4c140b81, 0xf23d6038, 0x537e2099, 0xa8c2ce9c, 0xb8ded3db,
+    0x9a0f1dd8, 0x0068d4ef, 0xeec25548, 0xbd9b4b8a, 0xdd367b23, 0xe2a88558, 0x444a321d, 0x79e33502,
+    0x67298f46, 0xbbf00b33, 0x25ada1f6, 0x2e160bb2, 0xddd4a85b, 0x77358ac5, 0x002e1789, 0x3f8a74fd,
+    0xd41154f6, 0x6ccebc3a, 0x79f0a49e, 0xadb1be46, 0x687ffc5a, 0xd090c8ac, 0xd046d527, 0xc7afd433,
+    0x67610440, 0xe52314a3, 0x7a705847, 0x37ac53c0, 0x840e2870, 0x21cfbc0c, 0x20a39b50, 0xa5cbbd4e,
+    0x1f78d808, 0xd8c0ac01, 0xc3790e21, 0x9dea429f, 0x26c2135f, 0xbf476207, 0xf5fc6b92, 0x73994430,
+    0xc040e616, 0x1a764d3f, 0x5a5fc411, 0xbc22bd59, 0x57baa0b4, 0x8fabf017, 0xc5313879, 0x2c8dac83,
+    0x86e8db25, 0xa9ed97bc, 0x2d02e9f7, 0x794dbf24, 0x0bae5f46, 0x5408939f, 0x326085c6, 0x9077d56b,
+    0xeea77f25, 0xef456059, 0x703b080f, 0x597aa735, 0xf2e78819, 0x730ed7ab, 0x6093c59f, 0xc43fc1f2,
+    0x52b0bdbc, 0x83151b8f, 0x32997601, 0x56391f9b, 0x23ef5ac4, 0xf54cf8e3, 0x89919244, 0x57f7f912,
+    0x6183af95, 0x32c8740c, 0x7102df49, 0x89d52f8a, 0xd8764c10, 0xb8e2b41c, 0x2c098539, 0x3ac250ed,
+    0x40be57f7, 0x6d1a88c1, 0x19c51d2d, 0x08ec49bf, 0xdb152cea, 0x5f6c9dbd, 0xfe19a07c, 0xa66f30ad,
+    0x1172ca30, 0xd3209fd2, 0x9496c0f6, 0x1ab9b025, 0x7d02cc70, 0xa7753979, 0xbec7d9f8, 0x94f16e5e,
+    0x1445aa46, 0x9870326b, 0x58563fb7, 0x23104b7d, 0x306fda55, 0x602ae6e7, 0x4e85cec9, 0x1e9f7122,
+    0x2804b574, 0x613ec0dd, 0x5a5bac1e, 0x87ca8a96, 0x3b5d02f6, 0xd242df9d, 0x8fdaed69, 0x7e3f0e87,
+    0xba70b66b, 0xf9be913b, 0xcf88c303, 0x3f239c4a, 0xab2dd95a, 0xe4b47321, 0xd5fe6eb9, 0x27493e66,
+    0x7cb6c230, 0x7305a239, 0xc12bb1af, 0xa2b8db34, 0xd077f3fb, 0x626fdd7d, 0x1409674e, 0x5b1322e2,
+    0xeb87c858, 0x4087419f, 0xed029afa, 0xd8af7e23, 0xff03fe41, 0xe2fcdce1, 0x47f897d1, 0x56795a1b,
+    0xaf961bf4, 0xe7c7da8a, 0x1e7e974b, 0x9bad9d14, 0x7cdf2485, 0xa22cceb5, 0xc6ad0854, 0x5814f8d4,
+    0x8787336f, 0x1e80d399, 0xfd9403dc, 0x7a866490, 0x920a52c6, 0x6d4bce39, 0xc70338bb, 0x221c5493,
+    0xa0902856, 0x9620edb8, 0xc15f78bd, 0xcda568b4, 0x6aba7da8, 0x61a92db5, 0xcc2d0b1a, 0xa495ad30,
+    0xe0f5e1f3, 0xe814aa4a, 0x413e8d2d, 0x230f951e, 0x7d0e7e62, 0x94a9fe7e, 0x65be91c0, 0x5ea14dd6,
+    0x0d8276a2, 0x6d29223b, 0xc4f43f4f, 0x76ec0be2, 0xff6682d8, 0x49e7fcd2, 0x3affcc68, 0x4515c989,
+    0x45a544f7, 0x2b0ecdbd, 0x8110b9a1, 0x43fba9c6, 0x484e0b9f, 0x104b442e, 0xddd59fb9, 0x07ec768d,
+    0xb30265e2, 0x9fb90a3c, 0x68c5d6e5, 0x8fc08bcb, 0x3b4b65b0, 0xadf560c3, 0x77ebf13f, 0x3bb905ce,
+    0x3bc75566, 0xda7ca0a5, 0x040c9b6c, 0x57588001, 0xa0f8b882, 0x97a4591f, 0x364d9e4d, 0x2e6a1bc3,
+    0xb74e4e69, 0xdafd75c6, 0xe33fea32, 0x789ab0f0, 0x833afa94, 0xb670176d, 0x849551ab, 0xfbfb9c26,
+    0x407c638f, 0x6c305bee, 0x5e602d9d, 0x4d707b8a, 0xc462c3ef, 0x76c8ddfd, 0x70a0ff11, 0x1a84e6e1,
+    0x9684c10b, 0x60d2b200, 0xb482d990, 0xbc653f07, 0x7e138b38, 0x6bbc0153, 0xd4ca8a08, 0xc8b57dcf,
+    0x06383612, 0xf7fb5bb6, 0xe55d2447, 0x19a73ae3, 0x8b2f820c, 0x553958e5, 0xa66d75b3, 0xadefc4b2,
+    0x4eb3d4bd, 0x294f8e89, 0x79066373, 0xfd081f11, 0xff7b00ed, 0xd93cf3e2, 0xe8f419e5, 0x821a2dc0,
+    0x1f0824c6, 0x5d33d464, 0x1b640f7e, 0xe539524b, 0x90d18705, 0x8c9dfb59, 0x525fd821, 0x8721e7ff,
+    0x9ec13128, 0x5f2ed8ef, 0xcecf6006, 0x9a9978af, 0xe439ae37, 0x534f2817, 0x72cd642a, 0x7473f8e3,
+    0x65a5de8b, 0xa3dd8ea4, 0xc8314a23, 0x4c574398, 0xb79cd7cb, 0x83cc5aca, 0xd18d5a06, 0x6cb0de84,
+    0x62b72be1, 0x32bd95f1, 0x7feb3059, 0xe060d512, 0xa8e5f575, 0x42c863b9, 0xe9a70c16, 0x3680b052,
+    0x98a90fb2, 0x270be65b, 0xd6eef79b, 0xda215fce, 0x172d1412, 0x97e6c0ae, 0x772824de, 0x0bbd0acc,
+    0x3cf77e7b, 0x5f3d6b9d, 0x5aad967f, 0xd08f046b, 0xd1c01e48, 0xb5f4f7fc, 0x62b51a4c, 0xbf53c1a6,
+    0x333d5dcb, 0xbef18c36, 0x13a5ede9, 0x16718c87, 0x47601bfa, 0xb37f4cd0, 0x8af3498f, 0x5eba7458,
+    0x76872e8d, 0x0e303513, 0xdf2094bf, 0x77dbbfb8, 0x23d01c91, 0xc396a8d9, 0xca47af06, 0x52dc6547,
+    0x4232d23e, 0xb6e778d2, 0xb73c51e1, 0x33a06cea, 0x8107e8f2, 0x0bb81bb2, 0x23d70e1b, 0xf6d7ba71,
+    0xe0a8ef79, 0xe905f170, 0x46e901fd, 0xe4ad6e25, 0x6106195e, 0x079a3cd3, 0x60216ef2, 0x03337afd,
+    0xad5338fe, 0x00cd1c1a, 0x82114c59, 0xb610ef31, 0x6a66cbcf, 0xfad0bf88, 0x08e86a3a, 0x673d5a76,
+    0xeb26e968, 0x631baab8, 0xef18b460, 0x280af4bc, 0xd6df8e2f, 0xb9cf50d9, 0x7f3113a6, 0xae740083,
+    0x25c60369, 0x65648a76, 0x445b4b04, 0xe89718f1, 0xb45a2321, 0xea34a9e0, 0x7b7e6dcc, 0x69b61904,
+    0xe0d12a86, 0xf4b4ac55, 0x224c139a, 0xa2dd98e3, 0x7b804496, 0x3ba1f0e1, 0x323e5efb, 0xe85ba391,
+    0xcaa9203e, 0xc708fa98, 0xb8886c69, 0x08be1c9e, 0x4c24f23b, 0x6b22dfce, 0x7299dfcc, 0x5f831978,
+    0x9290a641, 0x9d032fad, 0x49b37c73, 0x82fcd349, 0xa45d58be, 0x3720a8cc, 0x8775ed24, 0x43e9230c,
+    0x9c2903f6, 0xad9c92fc, 0x225944cb, 0x8e1d5823, 0x5c87aaa3, 0xb01ecc72, 0xde85ffa4, 0xcc803182,
+    0x0cae5a59, 0x57dd00e7, 0xd871c78e, 0xed2a364f, 0x9af7b2cd, 0x8a6a2192, 0x9a83d469, 0xd4bb8dec,
+    0x45675dd2, 0x15f99572, 0x786a4bdf, 0x80cea85d, 0x2cab1850, 0x6ffbd219, 0x52a7c7a6, 0x1d61b13b,
+    0x4759315e, 0xd103f044, 0xa10b5204, 0x3e5791a2, 0x87f03d17, 0x8e311eb9, 0xfb493190, 0x24d285c9,
+    0x1ba89ba4, 0x0e5d52f7, 0xf1cd477b, 0x0384d84c, 0x4ac3eb05, 0x70f05cf8, 0x295341b4, 0x87ea4b56,
+    0x8e94980b, 0x52c9c474, 0x2619389c, 0x5251e0a2, 0x244e52b2, 0xc42aaec9, 0xb47805ee, 0xd37e8ae7,
+    0x31df2c9a, 0x45aa3cb4, 0x01b48464, 0x5555e99b, 0x3746c223, 0x03c3f433, 0xf7e3ae3b, 0xb47415a4,
+    0x8b133f7e, 0x88d7ef61, 0x9cf382e4, 0xd327ad85, 0x698453fa, 0x9d298e9c, 0xf533ec42, 0x8875fd41,
+    0x88d801d8, 0xe4782d35, 0xd54e1298, 0x4767ea33, 0x901c0b5d, 0xbfe73efe, 0xdb548a97, 0x6a342815,
+    0x05f3af33, 0x7511cb7e, 0xf63dd8cb, 0xe7d159ab, 0xb2a912e6, 0x23484e67, 0xcc594a75, 0x15e7e3b3,
+    0x336732d6, 0xc86740ee, 0x641465a8, 0xcab25614, 0x43d0687b, 0x4b0a718d, 0x4955ba1f, 0x65f2d1e0,
+    0x06510b33, 0x0ebd08c5, 0x5b4d1c8e, 0xd2402db7, 0xd083df40, 0x0035ace9, 0xd0e666bf, 0xfbaf6699,
+    0xa76f92c2, 0x12158c34, 0xd4da9a4b, 0x498b1c4a, 0x85794b47, 0x6cfcdd95, 0x174f5fc1, 0x01a9ac76,
+    0xee5b234a, 0x7143f429, 0xec08cc12, 0x8c011eb2, 0x0bcab457, 0x63673130, 0x0ffa9424, 0x08c17f40,
+    0xcd2f0dd5, 0xf8d099b9, 0x7bf53a2c, 0x8cf48617, 0x691f2de9, 0x8f6b330e, 0x5022bc41, 0x081b7724,
+    0xf3bd1615, 0x85f48666, 0x6ffd10af, 0xb3896ac2, 0x96d62289, 0x652878a4, 0x16c2ca64, 0x8bf53814,
+    0xe044c932, 0x5895175a, 0x317d069d, 0xcd46b423, 0xd200440b, 0xc430c48a, 0x4bd9a737, 0x1dfb133e,
+    0x631ca237, 0x4de4e745, 0x05c36058, 0x332729d6, 0x87aaebc8, 0x53c5024f, 0xcf99d0f9, 0x65e99a2d,
+    0xf81d538c, 0xf771bb59, 0xd5eee55a, 0x146c8cab, 0xb1f7c26c, 0x34b7ba1d, 0x6bad0044, 0xdc481a88,
+    0x6a15536e, 0x3ec52060, 0xb709cf37, 0xfcc0c43f, 0xcf7fc826, 0x36cf2efc, 0x16db8b50, 0x437179bd,
+    0x96f4538e, 0x950bc4e2, 0x4469d663, 0x37f14747, 0x5c917361, 0x80c3e4cf, 0xefbd959e, 0x03704fbc,
+    0x2d9111b7, 0x159a8e21, 0xc031f677, 0xbc81e1ff, 0xe606fa51, 0x462fa68d, 0x80e70297, 0x6c7ff5a2,
+    0x86c69642, 0x549d20be, 0x931a4866, 0xddf18b5f, 0xf3e3d852, 0x03b1d5e9, 0x8d53ebfa, 0x3f547ac4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000154742504910672534362390528 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e475, 0x01b6d408,
+    0x00000000,
+    0x803ddb5e, 0x58fa9f18, 0xe36efc78, 0xa190a2f4, 0xc195c1ba, 0xde34c0d8, 0x7cdc2a19, 0x4be21325,
+    0x5642f9d6, 0x28593a40, 0xe7dc3771, 0x25b66a29, 0xb8985b47, 0x02727df0, 0x8be6f96e, 0x499a7aab,
+    0x9fdf3701, 0xbf0e82f2, 0x4158d3dd, 0xbf1f426b, 0x7e820b12, 0x4bb5dd06, 0x03630e03, 0x0230d180,
+    0xbc957c3b, 0x60b414a9, 0x451e7079, 0xecffd450, 0x55c93e46, 0x9c591b6e, 0x2ab9dde8, 0xdd18e255,
+    0x40bf2838, 0x1f706ab5, 0x4233f8be, 0x544818b5, 0x25b1bd47, 0x9229659a, 0xce74fa68, 0x4c71673e,
+    0x69d269f7, 0xc738d9dd, 0xb24fb723, 0x1c310268, 0x7de0488d, 0xa564f7dc, 0xa64c1757, 0xc66cb4bc,
+    0x8d4e9714, 0x65932b02, 0x335e666d, 0xdaa135c0, 0x5be71652, 0xa110a152, 0xdfeff470, 0xbf583b80,
+    0x237428ac, 0x2fb13de0, 0x88536a5a, 0x3fd4d82c, 0xe906d914, 0xe42fc5c3, 0x05a59962, 0x3afa4f22,
+    0xa92eb33c, 0xb61a2dfa, 0xcb1b2362, 0x94957da6, 0x8230c9ba, 0x0a971f67, 0xe573ac3c, 0x7e296a44,
+    0xf35894e7, 0x31e2d8a4, 0xac9eae1f, 0xfd3f4173, 0xfe0c3ba5, 0xe814681f, 0x346526dc, 0xd085b814,
+    0x02670594, 0xbe114e79, 0xc5039b4d, 0x05bd7f09, 0xe0e0bec0, 0x3bc006c7, 0xcc64a0b4, 0x897e7f65,
+    0xd01ab15c, 0x723167a9, 0xa436cc4a, 0x7e36e73f, 0x7a26df70, 0xdbbad1dd, 0x130733fd, 0xf4e118af,
+    0x5a021f3d, 0x5dea1ab1, 0xda6c6f5b, 0x859de58f, 0x11762972, 0x432ce173, 0xf9662a41, 0x07dd2886,
+    0xa1cd1d75, 0xb003f6ae, 0xa10aa2d0, 0x17892582, 0xacb13dab, 0xcf74bdf9, 0x34d2db61, 0xf2725095,
+    0xec459911, 0xc0a25441, 0x053dc420, 0x88a35d33, 0x94ddd099, 0x91d5d578, 0x49eaf4d6, 0x4d9447f3,
+    0xb38cc1d7, 0xb5cb94bf, 0xdcc82c7f, 0x95238e23, 0x39cc497c, 0xc20758e1, 0xd4be9c94, 0xe47462d1,
+    0xd05b9d08, 0x7529f6f6, 0x6a9032aa, 0x75e4339c, 0xa4b1333f, 0xb9cd5ab1, 0xac6d0da3, 0xc485a16f,
+    0xe8a44155, 0x538e37de, 0xf8bfd95b, 0xc18495a2, 0xc7238b74, 0xf258b92d, 0xdc039ac2, 0xc90c807c,
+    0x03ebdd72, 0xa94e1ae1, 0x08fe94a9, 0xf6816d3e, 0x70341807, 0x193f567c, 0x1f9aef2e, 0xa4856b93,
+    0x7763bfd7, 0xc941ffb3, 0x71b520e1, 0x8ec75c91, 0xa7629f63, 0x5d183b72, 0x0d97d6ba, 0xac909191,
+    0x522a5124, 0x01398d20, 0x6ec64355, 0xb1bd6b60, 0xd6faa2e3, 0xc48a5fc0, 0xc6689889, 0xe17126aa,
+    0x51540806, 0xe54092cd, 0x85b6c20b, 0x8cc1cb8d, 0x0dfcd7f7, 0x4acfe48a, 0xa3d4fe36, 0x7274f727,
+    0x3a92764c, 0xd7dde6f6, 0x8e280a61, 0xe83f30e3, 0xbe414b29, 0x1e78878a, 0xf6ab94d9, 0x8d9a39d9,
+    0x3b1af8a2, 0x46f06d8e, 0xfdeae3ae, 0xf42ae778, 0xe98f8310, 0x9a7a52f2, 0x3d59b13b, 0x202117a7,
+    0x4cbec149, 0xcdfdbeb5, 0x3ba5280b, 0x482385b8, 0xf7a37208, 0xc8bf1235, 0x5f404ef3, 0xfc12cda6,
+    0x737965e1, 0xfa067277, 0xcc2f4451, 0xdb1a6bf5, 0x1f512cd0, 0xfacaaa26, 0xc9001c76, 0x6e7379ce,
+    0x2e35c977, 0x5e95849a, 0xa3aa4fed, 0xee9f06eb, 0x6b9bf8bb, 0x58be2529, 0x8d91c05a, 0x508a9b2c,
+    0x0a1f1490, 0x3aa13d54, 0x4719e9be, 0x7090b03c, 0xbfe6566f, 0x9ea1adc5, 0x03096bb9, 0x7e322700,
+    0x68685383, 0xba5b6572, 0xc6c2924d, 0x961aeaa5, 0xdaaa9e46, 0xa883d1cd, 0xf0835eba, 0xc00c7556,
+    0xd705c297, 0xd8687d34, 0xceec2be0, 0x0a12d839, 0xba5b6908, 0x36741df8, 0x25325cc4, 0x726bd578,
+    0xbc7a33d7, 0x8ef23972, 0x5d91739a, 0x2b5ec87b, 0x5d3f4504, 0xea2be20b, 0xbb8b134f, 0x079c6c0f,
+    0x6116718a, 0xa348b57e, 0x1f6955d0, 0x206bd68b, 0x6559672c, 0xe093367d, 0xb5655de4, 0x79b687cf,
+    0x93edc122, 0xa13075f6, 0x918a914f, 0x07dd9ac2, 0x60f9b2cb, 0x12f2eab7, 0xab4e0650, 0x7e9976ef,
+    0x698ac730, 0x446af471, 0x8375ed60, 0x13d006c8, 0x024e4903, 0x4230b347, 0x98e07aa1, 0x263f12e7,
+    0x80df39f3, 0x1e58767f, 0x3c94eb61, 0x40b91779, 0x3a368de7, 0x0dd47a19, 0xc9f8d9be, 0xfa52dd3d,
+    0x401241be, 0xf415f9af, 0x82eecf05, 0xf8f59d55, 0xae70e4c0, 0x8841072c, 0x120fbff6, 0x5aed07e6,
+    0x5bce9de9, 0xe1dc7a32, 0xe25c89a3, 0xe6157477, 0xcf84c876, 0xb46998fc, 0x386e7f48, 0x6f634d8b,
+    0x33d4550c, 0x3f333c01, 0x356e8765, 0x59fc40f0, 0xbf0ecde2, 0xc82d7622, 0x6c579bb1, 0x728215a3,
+    0x1f96c597, 0xdfc98d6f, 0x4ca577d6, 0xe1f726be, 0x6240df6f, 0x6a4c260f, 0xee68bdcc, 0x593eb67f,
+    0x1cb65691, 0xecdb3ea3, 0x30211be7, 0xc556c38d, 0x8599a88e, 0xde105e89, 0x56a425e7, 0x6b49d94f,
+    0xab442d8e, 0x16d23245, 0x5ea285f2, 0xde4424e6, 0x2fd257e9, 0x6aa85935, 0xe1eb02ec, 0xf9a5611b,
+    0xd6864f33, 0x3cffca01, 0x9cf60df3, 0x8205ec29, 0x763d8fef, 0xe7ad57c4, 0x686b5846, 0x93e41a24,
+    0x9e44357b, 0x266541c8, 0x5f04436a, 0xd6905513, 0x63b576a0, 0xe3c6667a, 0x9900623f, 0xb4e91038,
+    0xa3c5a1c9, 0xa3f98a28, 0x4881e84f, 0xe6d93a0f, 0xdd496f78, 0xf36b8ca1, 0x35d245fe, 0x05844fbf,
+    0xb706f913, 0x1bcec913, 0xa09bf224, 0x38ba4d46, 0xa705d9d8, 0x600b13e7, 0xd8c90e3c, 0xc0ed71a9,
+    0xa724acb9, 0x838c969e, 0x831b4bf9, 0x801ca3be, 0x10566027, 0xa3ac0ed7, 0x7fec3dd8, 0x184c401d,
+    0xd9af4761, 0x19841b73, 0xc72f47cc, 0xab37792d, 0x890903de, 0x14ba91cf, 0xbbf1c925, 0x67265310,
+    0xf7964270, 0x8cb5a280, 0xd97f8f47, 0x807b44da, 0xe1e254f1, 0xeb139847, 0x4ac77626, 0x9b999554,
+    0xdfeb1d44, 0x0ed45e20, 0xb0cba532, 0x5132df75, 0xfc7a829b, 0x34a3f0a2, 0xb7a5285d, 0x51f3deb2,
+    0x5f44203b, 0xd54b7b3b, 0x98719caa, 0x52c1b202, 0xf998bc56, 0x0890434a, 0x0fe81cae, 0x0a773143,
+    0x03de04ef, 0x781af952, 0x41fac617, 0x612518d4, 0x5e3ce8d5, 0x32df0311, 0x8441a606, 0xa7b8e121,
+    0x88bcf19b, 0x70eba875, 0x77f085d6, 0x234ed54f, 0x4c5e4efc, 0x4d555094, 0x8bed51bf, 0xf3165a91,
+    0xb739700b, 0xc03f078c, 0x4b5fc9a8, 0x7ae9159a, 0x2b70617d, 0x75c8e280, 0x8441eefd, 0x695e3edf,
+    0xf53287e3, 0x608377ef, 0x5c5f1800, 0x0ffb0495, 0x04709ef7, 0x3c99c9e2, 0x93c33c4b, 0x54eb5348,
+    0xf2542b2f, 0x568ff515, 0xdf10148a, 0x6b0aa28e, 0x872c139c, 0x45095966, 0x6c9695d9, 0x9772a878,
+    0xb4147a70, 0xcb4c5753, 0xa5b83496, 0x9e4f5319, 0x41fc70e7, 0x7aa204be, 0x8d79dfa8, 0x33810124,
+    0xf5cc20ad, 0x59760e24, 0x255a2078, 0xc3ce31ea, 0x509ea73a, 0xe2be3377, 0x21f7f895, 0x69062987,
+    0xeee2d435, 0xf6fd5855, 0x7b503ae9, 0x31816f0e, 0x95be4a13, 0xce5073d7, 0x5334ade5, 0xfc4c74e5,
+    0xa5171828, 0x874773ed, 0x8538bfc7, 0x5e82258a, 0x93792515, 0x431c0042, 0x978e4fc6, 0x1646468b,
+    0x7d979cd8, 0xd51d0179, 0x08fbf9a4, 0xb3030a59, 0xc1ee61fe, 0xa01fdf2f, 0xd0124c99, 0x4cbd098d,
+    0x492c8001, 0x3218643c, 0x87e92e1c, 0xed2372d5, 0xca089997, 0xcde1e4bc, 0xc91602a7, 0x77b4452d,
+    0x72298735, 0x751b64c1, 0xe0e0e2cf, 0xe440d152, 0x93551211, 0x27e8b282, 0x864ff730, 0x5dc7c0c3,
+    0xef428af0, 0xe3cb6b24, 0xcfbba467, 0xd80a7f2c, 0xe9b38d01, 0xf7c363be, 0xc169af18, 0xe8d56c14,
+    0x188db476, 0xa560c3f3, 0x9c9a76e2, 0xf267dbf8, 0xd80a1188, 0x235913da, 0xbad84726, 0xc115e267,
+    0xa98c8397, 0xf784dc89, 0x668912f5, 0x393bc68a, 0x233e6e30, 0x47f04433, 0xcca374a9, 0x7852b0bd,
+    0x92746a7d, 0x5c9bc6d0, 0x41cac90b, 0xd6d57b14, 0x7eb274dd, 0x7c3a83b0, 0xff0a387d, 0x81a982a3,
+    0x6378bb4f, 0xe4da6737, 0xe1c98537, 0x4f2718a2, 0x8a3e9b7a, 0xe42bdfdc, 0x0fd61221, 0x1f1aaa5d,
+    0x0bfbc8f4, 0xf1ff9a0a, 0x7e5bc799, 0x9df59fa7, 0x2ccb4985, 0x2882a5ce, 0x6083ae5e, 0x43bedbd7,
+    0x8b011095, 0xbb132cc4, 0x533cc486, 0x81c99155, 0xe839c4a2, 0xe75c30e8, 0x6e6a97f0, 0x62d0f6f6,
+    0xd4af353b, 0x65a78dab, 0xe2ff3d3e, 0x6edc4456, 0xd74787f5, 0xdd7753f6, 0xaa93d2ce, 0x7033cccb,
+    0x84d2efc9, 0x3e208fd8, 0xb8fa1762, 0x99de9eef, 0x9fb6130f, 0x76b9a7d8, 0x971d8b48, 0x8ef30593,
+    0x3d859c46, 0x64980fc5, 0x77ccc11f, 0x9446a8c0, 0x8e8a7858, 0xcccb9d6d, 0x92a51c6d, 0xdd276d25,
+    0x764b2ada, 0xf9265d13, 0xab928d2b, 0xca08c007, 0xb13dde07, 0xd870b107, 0xe3ccbf47, 0x3e79b0c2,
+    0x8577acc8, 0x5fe6775a, 0xeac1b8aa, 0x6ae7c142, 0x409ddee4, 0x69666dde, 0x751cac32, 0xb2a7a77e,
+    0xa8e747be, 0x8f8399f5, 0x4b1f3c3c, 0x1cbbeccc, 0xe146ca34, 0xf8061892, 0x359a1954, 0x84a23d70,
+    0x6f0c69bd, 0x30ad1cdb, 0x17d42efb, 0x98d18b64, 0xf4090cea, 0xf841d3ed, 0xfa62ef67, 0x96786cc9,
+    0xff6b20bf, 0xf36cc54c, 0xdccc590f, 0xaaf47b7e, 0xc34d111c, 0x944bd351, 0x1a64290c, 0x9dae98ce,
+    0x06241b67, 0x5582cd01, 0x0490914f, 0x8c01126b, 0x7b1212a5, 0x9824b937, 0xafe61b31, 0x96132feb,
+    0x63f39744, 0x4c8c691b, 0xeddf6b16, 0x35955b23, 0x1fbaa888, 0x3fe14991, 0x5a22dd21, 0x369c2649,
+    0x833a301d, 0x5a068760, 0x8c3e4949, 0x269c74d7, 0xb116e115, 0xdebdd4aa, 0x434e0e89, 0x06d8a668,
+    0xef54f09a, 0x94e92694, 0xb65ea2f8, 0x1ce3ecc2, 0x62e416b9, 0x26baa01f, 0x0df32785, 0x092a724e,
+    0xe7f308f1, 0x24e88b42, 0x4f2aa21d, 0xf57601e2, 0xc2c3f614, 0x8b392de8, 0x168f909c, 0x92498861,
+    0xe4288317, 0x062abd1d, 0x5a2066ec, 0x18ea31d1, 0x4dbde561, 0x81e0d956, 0x728cbdb4, 0xdee9bfc1,
+    0x4cd37d96, 0x16b1e10f, 0x1bb1b180, 0x7eed6909, 0x9da5bbaa, 0xdcd30e62, 0x358ff6eb, 0x36ad22ad,
+    0x2875db0e, 0x3660403a, 0x97cfb26f, 0xd1539c4c, 0xd5ab59fb, 0xe07a3135, 0xc54158b1, 0x0e9ee528,
+    0x3c20ae01, 0xbd5f7313, 0xff6cb04e, 0x7edc061f, 0x2bec24b1, 0x31b4b35a, 0x8f9caaba, 0x237be897,
+    0x9cfdf9c0, 0xb5b2efaa, 0x1953fcb9, 0xd6c438f4, 0x7a3f3f79, 0x140250c9, 0x49786f75, 0x3a449278,
+    0x6a98d416, 0x1bb9f0da, 0xe1f651fd, 0xed6e8ec3, 0x3d1175f1, 0x8f397adf, 0xef9ad88e, 0x94ecc83e,
+    0x2c013c7d, 0xaf2311b1, 0xa0660025, 0xcb53bfef, 0xfe285e92, 0x84928890, 0xb5671c85, 0x3d0e04dc,
+    0x510e29e7, 0xa5da9883, 0xd6414502, 0x6defa147, 0x124740ee, 0x18394706, 0x2a42f698, 0xff4c6bf7,
+    0x2e76ae0f, 0x9f3fa5c8, 0xf36cce25, 0xab5a44c6, 0x4c6d792c, 0x3570ac78, 0x8f3b6bd1, 0xe05e921c,
+    0xa47564dc, 0xb9c2d99e, 0xce900836, 0x9a337236, 0xf311b552, 0x33eea5a5, 0x93832137, 0xd1cbeb5f,
+    0xd835a7c6, 0x1941ec71, 0x0d85dd49, 0x9341a555, 0xe4839640, 0xc9a2f1aa, 0xc4d7858a, 0x105d4808,
+    0x213fd208, 0x27f09f3a, 0x8306f7d1, 0xd71361a6, 0xfdd6dc4a, 0xe20a3c19, 0xcd41b652, 0x01c06149,
+    0x99f2bae2, 0xc47c41ec, 0xcddc0229, 0x6c49c42b, 0x6e2f3422, 0x5e067da2, 0x3c02fc07, 0x8277c867,
+    0x2136505a, 0xa0a707b0, 0x08b88fbd, 0x586bcd78, 0x3ce42ca7, 0xfff433d5, 0x64c567d4, 0x5582301d,
+    0x253015f9, 0xe5fb58c4, 0xe606a4dc, 0x573a684e, 0x802a2201, 0x9cfdd37c, 0x74b1a0a9, 0x2e43ef8c,
+    0xb997c142, 0xe20dd5f9, 0xf1b70c22, 0x7a685edd, 0x81f12cb9, 0x8f0cb697, 0x32e0826a, 0xee53f1aa,
+    0xbe2a4f82, 0x257bdc4a, 0xc045bca3, 0x7fa1305e, 0x24fe8dc0, 0x16326e6b, 0xb5dc5d9d, 0x65763caa,
+    0xf63ae937, 0x65fcae26, 0x4e707c3f, 0xfc022a1c, 0xfca926ff, 0xa8a2bc2a, 0xb6f6858e, 0x0b4bba45,
+    0x3a9efece, 0x943be6fd, 0x4d25a831, 0x042d1ad7, 0xbe8d2b95, 0xd8ff5c65, 0x2819fe12, 0x8ce49cf0,
+    0x65b6353c, 0x7f4349a2, 0x39305423, 0xc9c0c8b5, 0x99dc0779, 0xfbfd3ae0, 0x2499270f, 0x5b0cc786,
+    0x0750c538, 0x87a92042, 0x9e77b514, 0x05557987, 0x376878a8, 0xa9e966c7, 0x56e4bc04, 0x59cf6abf,
+    0x6ca51532, 0x444892d1, 0xd57fe4cb, 0x9ffe4568, 0xbe88abf8, 0xfe3482c1, 0xc2382d15, 0x5e719aaf,
+    0xe4870657, 0xae6fa575, 0xad828e9a, 0xeae92f39, 0xc303dd46, 0x3f28d2e1, 0x3b07af26, 0x8a414944,
+    0x5ee03171, 0x5da268b0, 0xce45e14a, 0x9cbd3e14, 0xe8e3a943, 0xe8ec7c86, 0x48f950a3, 0x3c58ff29,
+    0x3094503c, 0x609101a3, 0xa28f2ea0, 0xd540bad6, 0x0025bd20, 0xdbdfa759, 0x89d966b7, 0xaaadb808,
+    0x45be7157, 0xd20e1f4a, 0x8db21462, 0xf61a54a1, 0xc5a97706, 0x4e338018, 0x3dd5a9a1, 0x824feb63,
+    0xf28e345e, 0x07f6faf2, 0xf221fd77, 0x8b5a02e9, 0x9c56ce15, 0xbfa0f1e2, 0xb4629dcf, 0x8ab12806,
+    0x2b03d26a, 0x9a55631c, 0x8c53e27f, 0x7a0a7a0d, 0xb31338f6, 0x0abbb710, 0xd7a3709e, 0xf8cf0121,
+    0xa07e2074, 0x21506616, 0x7f49e77c, 0xfef29948, 0xb987541d, 0x04218928, 0x803d7c7a, 0x6cda81f8,
+    0x690dcffa, 0xf69a8037, 0xd3c01897, 0xaf4dead4, 0x6fa6576a, 0x759f549c, 0xbf134c88, 0x1096fe4d,
+    0xff0b90d0, 0xb4fe5c78, 0x5c6c7086, 0xdea7384a, 0x07c5e17c, 0x6b747e4d, 0x1ec37174, 0x432932c1,
+    0xc4a729d6, 0x4419aa95, 0x5473bd89, 0x9b112831, 0x20a02e79, 0xf5e59e27, 0xb755dcfb, 0x241293aa,
+    0x9a47a069, 0x534c9b49, 0x48c5fb92, 0x73e3e0b7, 0x66b17278, 0x10b877b5, 0xa346c7f3, 0xc9eb15be,
+    0x7de3e532, 0x8de5684b, 0xbae3e762, 0x1f5ee5e2, 0xe19c5c8d, 0x0f6ee364, 0xb5216652, 0x8e30c406,
+    0xb103388c, 0x2b94c204, 0xe5a6eb3b, 0x1466a377, 0xa0269136, 0x3728232c, 0x4a687b39, 0x0c4d0ec6,
+    0x0daff7d2, 0x82ef8b0c, 0xc0aba342, 0xa8d270d7, 0x7efc6906, 0x2dca88f0, 0x7e46f36b, 0xf559fb5b,
+    0x64be6095, 0x578fd7b8, 0x165ea3ae, 0x443e4ce2, 0x360ca68f, 0x4618531d, 0xb05af4e8, 0x115b0e0b,
+    0x94574803, 0xd105117a, 0x529a0547, 0x7f9e9cab, 0x1bc280be, 0xfce27bf8, 0x292c6bbb, 0xc9ede4fe,
+    0x8a3aa4ec, 0x3db4fb88, 0xec807883, 0xa6b4eea0, 0x8957b152, 0xc9c852a0, 0x57cce895, 0x3bb88d9a,
+    0x15b985e8, 0x33371448, 0xe958a348, 0xebc2df70, 0x2151e5ee, 0xdd17ad3b, 0x500f7492, 0xb82c38ea,
+    0x18f4b355, 0x41cab273, 0x86a9b468, 0x8ba7e545, 0xc63e402d, 0xfa7f3b4a, 0x7ad0da2a, 0xd6076a4c,
+    0xca479cd0, 0x3f9620a4, 0xaf794ca5, 0x20638564, 0xde02bac1, 0xe1352abe, 0xbadeaab1, 0x5f5f321e,
+    0x6f0c71f3, 0x8ef3b34a, 0xdbb7553b, 0x3445c758, 0x8978cf12, 0x3e609218, 0x93ba612f, 0x391e6a0b,
+    0x3163e5c4, 0xe61bc2f8, 0xfc5a5502, 0x28fba7fa, 0xa988e528, 0x6e06ed79, 0xc0909839, 0x2157892f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000077371252455336267181195264 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda19723a, 0x80db6a03,
+    0x00000000,
+    0xb530ab38, 0x5b7561ef, 0xe150fc3f, 0xb1099fe2, 0xd9c5cc3c, 0x09810c54, 0x46c3dbbf, 0xf65d9d29,
+    0x8dcbdd3f, 0x172d37a3, 0x8236e3ca, 0x80676d16, 0x683ac061, 0x1b16b485, 0x9a3ab5ff, 0xde5541ae,
+    0x36a0b2d3, 0xe513cffd, 0x1423174c, 0x9f07c678, 0x86356cb8, 0xae24c72b, 0x676e67c2, 0xbec38a75,
+    0xef2f9651, 0xaa5e3550, 0xf90ea18d, 0x45493e74, 0xce7c8a04, 0x12d0e02a, 0x6866bf0e, 0xf1d78600,
+    0x267ff606, 0xda328ec4, 0x2b50c12b, 0x47f8bb31, 0xd2714f35, 0xd556ef65, 0x7a804882, 0xd726c143,
+    0xb5fec423, 0xfdb5906a, 0x7ac834fb, 0xf00e0860, 0xc08e2415, 0xa39a8dbc, 0xd57a64b3, 0xf3868bf3,
+    0x40d79283, 0x9d40b1c1, 0xbad4d022, 0xf255c38c, 0x56044adb, 0xf88f8aa9, 0x3e2b1211, 0xec3da3b1,
+    0x2d12fc77, 0x52a37859, 0xf9424f42, 0x97e98c2f, 0x5d3b10c1, 0x59a1e466, 0x5b2a4b41, 0xb0efda09,
+    0xc126d5e2, 0x833f6cd7, 0x31c554f9, 0x89422bb5, 0x95662b05, 0xdcc9c6ed, 0x4869bedb, 0xa98974ae,
+    0x066232ad, 0x3ba6a91c, 0x471c27d7, 0x9693a737, 0xb7972b5e, 0x3713b3e9, 0x2f350153, 0x916dff60,
+    0x59b7a30c, 0xde3da46a, 0x58155d42, 0x44c464c5, 0xd331850c, 0xc42863fa, 0x18691460, 0x7cba035f,
+    0xa3fb5109, 0x886d9c33, 0x789a79c3, 0xf1058a67, 0x7422e369, 0xfb8cad99, 0x0bdc3cf0, 0xb23de707,
+    0x0b7c2168, 0x6cfc9168, 0x84349364, 0x8fd6311f, 0x800f402a, 0xc147d1d3, 0xe38aa1ac, 0x0987ba85,
+    0x665cb090, 0x2469d61b, 0xb42cfc7f, 0xd77f9164, 0xe599a240, 0x6a945199, 0x5ef9945d, 0xe8be4fe3,
+    0xabce055c, 0x9528ab49, 0x4a37305c, 0x10e7e262, 0x3d90bc09, 0x1d801cae, 0x39cad9dc, 0xdd0ae129,
+    0x6e42a9c7, 0xfaf64872, 0x3064b08d, 0x722fcb56, 0xa65dac73, 0x65a7c228, 0x689078a6, 0xcee1e0a3,
+    0x3733c499, 0x30884a5d, 0xf6fd3c0d, 0xcb91f732, 0xc99da219, 0x021efa43, 0xe4e5e471, 0xcb6650ae,
+    0xb84e743f, 0x5f8ff9fb, 0x0403d48f, 0x8f6f7202, 0x8a2f10b9, 0x3f84ac7b, 0xf4af166a, 0x810f7b46,
+    0x30bf9185, 0xd81e0da6, 0x45b74b46, 0x83d91226, 0x4ceb24a4, 0x1faf3b03, 0x76e6840f, 0x02fe8c41,
+    0x5148677d, 0x0aaaf607, 0x0c44b56f, 0x0384bdb9, 0x428843b5, 0xb23ff23a, 0x54699e0b, 0xf3b9e3b3,
+    0x7032cfd6, 0x8f9d621f, 0xe161d0fd, 0xaacca305, 0xca84deb1, 0x23b74a17, 0xa6a0a476, 0x9f4b822a,
+    0x394d6eba, 0x3729b746, 0x7694508d, 0x6941eefe, 0x17f40ebb, 0x988859c9, 0xd6fe3f41, 0x745e98fd,
+    0x8264a889, 0x6524671c, 0x207a73a9, 0xe017ce2f, 0xc90d5f32, 0x301eebee, 0x29d8f6c1, 0x91d65163,
+    0xf3d6b98d, 0x6855155a, 0x14ef17c8, 0xf37cd2dc, 0x4fa1d926, 0xb68a64ff, 0x71efc0e9, 0xab07554d,
+    0x71945108, 0x11859856, 0x9bfc2d72, 0x89fbaee9, 0x21e5a404, 0x7d0e0592, 0x9e0167d7, 0x7a44547c,
+    0xf25e2e35, 0xe1ce349e, 0x880e8d29, 0x4ed529b5, 0xb8bebba9, 0xd28c15f5, 0xb32542b2, 0xa42fb626,
+    0x5827b54f, 0x3a27deac, 0xc611648f, 0xc9ad4de8, 0x71063403, 0x8a1dda9d, 0x2129292f, 0xaabb2a2f,
+    0x51f057b5, 0x095bb0e7, 0x4c12e0f1, 0x9a98a07a, 0x546adc24, 0x69fa0a3b, 0x1be8690f, 0x037b243f,
+    0xb14a7fb3, 0xcd8796f9, 0x46c5f0be, 0x9c02afb6, 0x8ee42ef7, 0x3c73c76c, 0x4e883c62, 0xfc5840a1,
+    0x322783ab, 0x1f7a6eb8, 0x5e49a00f, 0xaeb4a6e5, 0x8da88568, 0x4e135920, 0xde12376f, 0xef1cf16e,
+    0x7180763f, 0xeca1ab20, 0x2332c860, 0x1430116b, 0x299fa79c, 0x30cc8a42, 0x1059aeaa, 0xd43851f4,
+    0xfc98ed6a, 0x7f710375, 0x68a24ebf, 0xbab5ac72, 0xe11fec95, 0xca23840e, 0xa802782b, 0xfb502572,
+    0x03379c01, 0x04b32021, 0x4310641a, 0x5d2e89a6, 0x7a4c7b9f, 0xdbbf7fc6, 0xb7fba6a7, 0x52507b69,
+    0x7f735c12, 0x59332a3c, 0x80a1148a, 0xd5e6c94f, 0x99068c74, 0xebf73695, 0x5daabc2b, 0x4feb95e6,
+    0x6d24a6bb, 0xb78b5af8, 0xc4827990, 0x23810a10, 0x2a6dc964, 0x290417c0, 0xbd1e48f8, 0x4059231f,
+    0x98c59f4a, 0x37be5f44, 0x0bef9d04, 0xf39de796, 0xd4a7097a, 0x5932ad1b, 0xc6d66c47, 0x16fdbd44,
+    0xb7fd13f8, 0x04a44c97, 0x6a84de21, 0xb3f2a0a3, 0xbf880e94, 0x606383b9, 0xf6cdeee2, 0xd16ae45c,
+    0xd96e7a97, 0x011221ee, 0x3396ab4e, 0x32b68138, 0x32f52f52, 0xaf230505, 0x35ba4e24, 0x914a14c4,
+    0x78ae6cdf, 0x5efbcf1e, 0x2fb2dd78, 0x1e587959, 0x5d6e6784, 0xf2d49577, 0x54490dbb, 0xc5e2809c,
+    0xb913f167, 0xf4bd7c6a, 0xd8430cab, 0xe80ef721, 0x2117e548, 0xa8a44911, 0xb7626245, 0xc784b5ec,
+    0xa8867776, 0xe20d6f0c, 0x14a03b05, 0x2ea4462a, 0x4b727b0e, 0xd2c967ab, 0x681de56f, 0x261d9725,
+    0xa17c90d1, 0xbc10e73b, 0xf9420fae, 0x63a7f2af, 0xa8f75acf, 0x47ae83c4, 0x50c25cca, 0x880509cd,
+    0xc6d227e1, 0x607e3ab5, 0x1a204094, 0xa8d24e72, 0x73a35427, 0x818c68ba, 0x8f71bdc8, 0x36d8fe79,
+    0x4ca51c5e, 0x3b9438fd, 0x2cf0da0a, 0xbd4ac156, 0x96297950, 0x03c450e5, 0x00f1b7fb, 0x3a26d65a,
+    0x5c701547, 0xee06cbb9, 0xb07550e1, 0xcc83bb30, 0xbfa4076a, 0xc22ccad9, 0xd36864b5, 0x4a7471de,
+    0x0fe6a4a2, 0x7e0a2d0d, 0x9b71b7f4, 0xc5d8c421, 0x9bbe0e6f, 0xbe5f3340, 0x266506cb, 0x64ac91b3,
+    0x193a31b5, 0x4cdbd22e, 0x96f195a7, 0x676ce477, 0x3b324d6a, 0x0b0b7585, 0xeceef767, 0x5e2d26c0,
+    0x199186f6, 0x95e0ab04, 0x8aada374, 0x871ca60d, 0x7a109026, 0xd4a27830, 0x05f05893, 0xd32dcd3b,
+    0x16233976, 0x871cdf66, 0xdb6173fd, 0x812187ad, 0xbb21a2dd, 0x9d9fb532, 0x6ccf1155, 0x8ea736e9,
+    0xaf1a1184, 0xbc7c059f, 0x11205f89, 0x8d7727d8, 0x677b4b38, 0xc8342347, 0x9726a537, 0x23275df7,
+    0xc59fc16e, 0xea7234d5, 0xebd3b444, 0xc9cf1453, 0xd0ddd586, 0x326092d4, 0xf85e7af5, 0xba67453a,
+    0x28109812, 0x8e3508e8, 0x9c237436, 0x30b7244b, 0x4c4fd2de, 0x1bec3e2f, 0x4ccd1eb0, 0x82d05df5,
+    0x479bd8d7, 0xd5046b1d, 0x523991a8, 0x7e558eca, 0xe43fa6bc, 0x61114a70, 0x3111548c, 0x804ac837,
+    0x1fd802f3, 0x6edd484f, 0xf6ad7a32, 0x8914341b, 0xb2004918, 0xf8344c42, 0xd2b2c4bb, 0xfdb1dae5,
+    0x238d2577, 0x07a4d2b3, 0x7ef1a726, 0x03a7554b, 0x695a9787, 0xbb0deac3, 0x1aab2e8c, 0x6dc33cc3,
+    0x7f98cee2, 0xf914971f, 0x04a2b861, 0xca42cbb5, 0x88714e01, 0x5141d923, 0x74f8ef1f, 0xf3705cd5,
+    0xc0084fe2, 0x9ca01a9b, 0xafdbdca5, 0xbdf8a22a, 0xbbe49561, 0x8e8e5107, 0x2a3afcd8, 0xc350ca04,
+    0x30077648, 0x3ceeec57, 0xb3e512db, 0x5a839dcb, 0xb73dce9c, 0x2578201f, 0x51ff0aa6, 0x1b020ff0,
+    0x0f90ef14, 0x006b92a2, 0xf2d92ee9, 0x0dfa38a4, 0xe735fed6, 0x6ab8bffc, 0x27faf7ea, 0x2f69347c,
+    0xb2c754dc, 0xbd7fae64, 0xddb992b2, 0x79b6a43a, 0x66c2f372, 0xdb2a50ae, 0xc9691c51, 0x81b12eff,
+    0xd93b147f, 0xa9cd3614, 0xf8c6cf54, 0xb35933e2, 0xf5df82cf, 0x6e85df48, 0x1e004ff6, 0x1ed25148,
+    0x60be4e69, 0xf1737f3c, 0xbb4d485f, 0x3249014c, 0x9ab5a752, 0x5e2be37b, 0x361c73fd, 0xdebdf1be,
+    0x7da04b25, 0x00bfee87, 0x7caffd86, 0x6860ab67, 0xec0fbfd1, 0x89e4823a, 0x0eef72ef, 0x23dcc837,
+    0x8198c816, 0x398d923f, 0x9310d736, 0xbea5e391, 0xeeccef30, 0x162b4397, 0xb9e3fe10, 0x294cb403,
+    0x15e08767, 0x2bf1f02b, 0xd9109858, 0xa9aba465, 0x7d13bf31, 0x7c35445f, 0xa33f1f67, 0xb56048eb,
+    0x7b5eb0e2, 0xc37b23b9, 0xf0f1ed96, 0xf606ed9e, 0x52619150, 0x41acfd06, 0x6176d7ee, 0xc9443649,
+    0xff391ca1, 0xe0276c8d, 0xd4e3f80b, 0x932e2766, 0x84194382, 0x4195188a, 0xef94d3bb, 0xa6cf83d7,
+    0x1ab0cb0e, 0xec9d557f, 0x7c866d48, 0x5400e0ff, 0xa8ef67a2, 0xcdc7965a, 0x868beb32, 0xcdda7f07,
+    0xb736553a, 0xeae137d2, 0xef5590fc, 0xed6d5b08, 0xf21766ec, 0xdef1caff, 0x38ea73ff, 0xe2cab2ef,
+    0xcc9b89d4, 0xa34dd28a, 0x0b30cbc1, 0xbeb4d469, 0x83fdcaba, 0x790a241d, 0xdb0894a1, 0xcd633f6b,
+    0x5f9120e7, 0x0f2887a0, 0x18e869c4, 0x0022da24, 0x69d6e15e, 0xfc8163f9, 0x92b967fc, 0x22c0158f,
+    0xbe0bbe0b, 0xa49287af, 0x477ce0e5, 0x62310c2b, 0x97c70f17, 0xf829420e, 0x35a8417b, 0xb410ea82,
+    0x8d735834, 0x84171b11, 0xe17fd8eb, 0xfbdd0117, 0xa0fe1724, 0x4ac1b283, 0x24b2379b, 0x3c5839ef,
+    0xec994bca, 0xc351fad9, 0xff563a7d, 0x3df7fc70, 0x683ff67f, 0xa9534d75, 0x30e18d08, 0x506c9d47,
+    0x899db3bc, 0xb5859d99, 0xda4784f7, 0x183b8706, 0x12a8a820, 0x1762ea41, 0x2be75c84, 0xdc6df5df,
+    0xb6fc8ec6, 0x83e32636, 0x4ec9a30d, 0xe0566032, 0x29e8d1e2, 0xf5dfbb3d, 0xff97af50, 0xa2416696,
+    0x0a1deb7d, 0x3646a68c, 0x20c9e34d, 0x0630e356, 0xf9f75b1e, 0x88e808e0, 0x681c1a45, 0xd08da813,
+    0x32bcc7ea, 0x0f0742cf, 0x70ee1d40, 0x4d8faffa, 0xdd8c5440, 0xcc3fbf8c, 0x40a8c2e5, 0xace1f44c,
+    0x5f56681a, 0xd556127b, 0xe423b515, 0x6992c245, 0x6554c4da, 0x96b670a6, 0xded58f20, 0x44d4bff1,
+    0xbbeb5aed, 0xe48dbcbd, 0x8fd62b8a, 0x7af05fbf, 0x49d8d622, 0x6f25b023, 0xfb81f16f, 0x1e351185,
+    0xb65cbf83, 0x3de7fff7, 0x76ff3045, 0x3ab559ee, 0xbf761e70, 0x0136020a, 0xcac82e2c, 0x28abe1d5,
+    0x614ad4f8, 0x09db093c, 0xa2436a87, 0xf37e569e, 0xd5a5b978, 0x9a2d66be, 0x1499f78a, 0x6d7469dc,
+    0xa1703b79, 0x216c8920, 0x551f3ea6, 0xbe0c9e96, 0x570bd2dc, 0x664da8fb, 0x6ee78ac3, 0x7f59c843,
+    0x60fa443c, 0x0997ded7, 0x9c241a4d, 0x1eabb066, 0x9c99b532, 0xe2327201, 0x0beec57b, 0x2fb55b50,
+    0x76dd8a9a, 0xdc7b25bf, 0xcc20fd8d, 0x06c78ee1, 0x65151d74, 0xe31de983, 0x83f3bf49, 0x3784dd74,
+    0x37ea417f, 0xb8714721, 0xafe1b236, 0x5d85c2fc, 0x5982fbc7, 0x99383c17, 0x2c4943b5, 0xa06985c9,
+    0x1121df78, 0x3a73ec86, 0xeeba8e48, 0xa6221f9a, 0xa454293c, 0x5c5ba146, 0x7710b621, 0x74a26648,
+    0xae0ac2cf, 0x78ef9774, 0xc0ee4485, 0x353c6ed4, 0x8b6226aa, 0x6540fe98, 0xac07f882, 0xf057bd85,
+    0xe337d234, 0xdb937913, 0x81e2d4c9, 0x45c95507, 0xa2662a4c, 0xea897b71, 0x4aa82d25, 0x1d64b39f,
+    0x8a328f2b, 0xc8446fb3, 0x69d689be, 0x6a888ce9, 0xdb77e99b, 0x682b40cb, 0x3d441b7b, 0x4be2f8ae,
+    0xf480e136, 0xd5aec772, 0x0f03436b, 0x8c580083, 0x0bdcb661, 0xc3a7deee, 0x82423d4e, 0x943ab383,
+    0x78a39015, 0x13752eca, 0xee1ab906, 0x2c456fae, 0x9e9165d6, 0x68becd8a, 0xd58af715, 0x0c616e1e,
+    0x6734655b, 0x902c2cab, 0x0ddc282c, 0x83b8ca17, 0xb046bdbc, 0x1002fc41, 0x88db156d, 0xaf704c71,
+    0x9fde2992, 0x863ef35c, 0xde3abcbf, 0x8f15dfc7, 0x4c6fecde, 0x8fc0bbe4, 0x4416ef45, 0x24ff091f,
+    0x34c7f690, 0xd93d07b8, 0x7a62a8ae, 0xee46a757, 0x6e7c3a9b, 0x637deea4, 0xc41253c7, 0xd1e7587b,
+    0x1f0c7496, 0x4a1cc0d0, 0xea073981, 0x7be64b70, 0x550d610a, 0x4149df17, 0xed1bf0ab, 0xfe923291,
+    0xbff00828, 0xd6055c69, 0xf43f4181, 0xc4ce35e0, 0x31a3044a, 0x3cbe3ec3, 0xf3fa504c, 0xb2d3e1a7,
+    0x5e145864, 0xc615295d, 0xf080dfd6, 0x38fd270a, 0xd2be0b9d, 0xb1852ab4, 0x9461e3f8, 0x43f2a6e9,
+    0xd3197146, 0x708a66d6, 0x29d6ac79, 0x7d8bd8a8, 0xfe9ff2db, 0x826055fe, 0x4c9bcd27, 0x460011f1,
+    0xa6ddab15, 0x2e157bfe, 0xf60021be, 0xb9ec8d08, 0xf5a7a0f3, 0x5f976517, 0x6f46b7be, 0x2882da37,
+    0x18dc105b, 0x19570b1b, 0x0c60dfb3, 0xc109e7db, 0x7526701d, 0xd8476518, 0xe28efc34, 0x226107b5,
+    0x398d006a, 0x6f7451da, 0xcbdd849f, 0x9dc03fc5, 0xefd9d3d4, 0xc0a5bfa6, 0xb74e6615, 0x5ab3beaf,
+    0x4fc59d17, 0xba47715c, 0x71c35c58, 0x8e852585, 0xd9a3a80e, 0x3df22dcd, 0x6fda18d3, 0xaca4cfa5,
+    0x77c1005d, 0xa16324d1, 0xee30c44f, 0x325d0af0, 0x01579433, 0xf35d6090, 0xca969c13, 0xb1606bbb,
+    0xdf873a50, 0x56c22635, 0x263bcd88, 0x52863f76, 0x84d5ac02, 0x94a69b79, 0x10f89915, 0xa7535148,
+    0xa47c445d, 0xb65e8141, 0xaf04e595, 0xa225a03b, 0x6b4913d3, 0xba5f6c67, 0x54fe2c45, 0x4efd3a42,
+    0xe100c014, 0x33c96b37, 0x4f5c1e65, 0x0adb643e, 0xf13ae60b, 0x824973c4, 0x8f7dcc61, 0x80715deb,
+    0x3cab2d8a, 0xac9ce67b, 0xe277bcb7, 0xeaa58d4f, 0x57c38e01, 0xe90660cf, 0x9b8236b3, 0x0d32e1e0,
+    0x1a506da5, 0x76b20bec, 0xa5fe8a47, 0x10d30348, 0xe5aa49ea, 0x049a7f49, 0xa1d6a432, 0x1e707a72,
+    0x8e096ec3, 0xcfa1ba8e, 0x47f6bfbe, 0xdcd37e11, 0xd1e1bff9, 0x954e2723, 0x19d956af, 0x0bf47ae5,
+    0x3ff9dd56, 0x4f3d8d26, 0x260c48a1, 0x1c1ad5bd, 0x69b350b8, 0x252cac2d, 0x8f880889, 0x35eb3ffd,
+    0x39be7736, 0xca7ebd77, 0x4f501f9c, 0x6988f547, 0xe6985340, 0xdd3b0338, 0x37ed5099, 0x13d283ec,
+    0xd3c81b0c, 0x9d4ad12c, 0x3eca8cad, 0xe19b3132, 0x523c8578, 0xcd7b03e3, 0x1008a761, 0x23016bfc,
+    0x29923711, 0x0279b62f, 0xa416f464, 0xed083399, 0x3dfbf589, 0xdb47ea30, 0x6faed598, 0x97d9305e,
+    0xb3b6ec05, 0x01069353, 0xbccd5360, 0x4662757b, 0xc2aedc53, 0x90da4630, 0xf6c8a88b, 0xf520c1ff,
+    0xd6d344ae, 0x00f368fe, 0x7b926ddc, 0x4fccd66f, 0x7dee38b8, 0x94fc3ff8, 0xf8b93f50, 0xe0660f84,
+    0xced28685, 0x94d99d80, 0x5922cae7, 0x59788839, 0x6c55570c, 0xd92c34d2, 0xee7698e4, 0xf5b417d4,
+    0x8b1a927b, 0xd027586f, 0x2dfae4e1, 0x75821205, 0xa487fbc0, 0x1431ff12, 0x45d40347, 0x86e67d44,
+    0x8c8d2f7e, 0xfce859f7, 0x3b25fe85, 0x7535ac94, 0x0ae20b70, 0x238ba59b, 0x265af4e3, 0x17ee4853,
+    0x96e0e6dd, 0x5a5445d1, 0x6fbf2186, 0x165f02c3, 0x05f1d59e, 0x65cb1fc9, 0x504ab36f, 0xf065af4b,
+    0x5e295b8c, 0x667c47b1, 0x4a331f6e, 0xa4d63d5a, 0xe100df98, 0xcd1a9f27, 0x87df9b56, 0x3241c4ef,
+    0xe70c4991, 0xe54e4dfc, 0x8ed74acd, 0x035aa9bf, 0xc4c8008d, 0x5f85d46b, 0x5db11491, 0x767abfdb,
+    0x2904a445, 0x96cf1dd6, 0x5a94ff3f, 0x9258bb6a, 0xbf1e5350, 0x082dda14, 0x89677e0f, 0xa98c388d,
+    0xde03631f, 0x7629637e, 0x5136c3f1, 0x1669d2bd, 0x84f667fe, 0x58df6404, 0x980d5ea7, 0x809df381,
+    0x9461f16f, 0xc7e1afdc, 0x8e7aa9e4, 0x4d6d2789, 0x19362b39, 0x2ad4a54d, 0x9ba5795e, 0x92a84721,
+    0x17733ccf, 0x85f530c8, 0x43225fdc, 0x159e1336, 0x0b14cacf, 0xf0ccb869, 0x284d1d79, 0xf39235e3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000038685626227668133590597632 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91d, 0x406db501,
+    0x00000000,
+    0x984a50df, 0x6e52f36a, 0x16d8da99, 0x5cf4e42d, 0x85865c99, 0xdebdc673, 0xa6b1f7b9, 0x771dc568,
+    0x209cee02, 0x7c027472, 0x4f71cefa, 0x28c9f9f6, 0x327841ab, 0x8c6b644a, 0x5861d66c, 0xe984f3e4,
+    0x6aa8b63c, 0xc1d137c3, 0xaa6d6f21, 0x0ca93182, 0xbf2d3ed2, 0x9960cea9, 0x8bf776e5, 0xf2d04157,
+    0x673a6329, 0x522f1faa, 0xe3b90db0, 0xfb4b2f0f, 0xadb50b33, 0x55fd9c74, 0xa6355d46, 0xab718397,
+    0x5d142ef6, 0x497a2417, 0x67dcbfc7, 0x4db1e267, 0x67ddaf52, 0xcf443c82, 0x944943c1, 0x7c931f6f,
+    0xff0cc3e4, 0xe5f758e4, 0xf5b95c6e, 0x97f161dd, 0x35b3b75e, 0xf7bffe99, 0x6c41896b, 0xa54cd523,
+    0xfdf63dfd, 0xceeb182d, 0x4ec8da73, 0xa6270174, 0x3bbd5a99, 0x79e09ef6, 0x5a0684ea, 0x2f7c7348,
+    0x1d2bc328, 0x1c5ba87a, 0xdb9ef69f, 0xd9db9c4e, 0xc7cd0e5d, 0x4f6a7e6d, 0x0bf38ca6, 0x189f3257,
+    0x5eaa7f30, 0xaa88dff4, 0xbfde82b0, 0x5560e4aa, 0x9d377511, 0xc7bfbb0d, 0xe064b688, 0x865ea700,
+    0x3759468b, 0x95dc6d82, 0x632c0746, 0x0a43e014, 0x62cf5aac, 0x92f5a0e6, 0xb10c4de7, 0x17d87e73,
+    0x8c1320a5, 0x4a03dd73, 0x156bd72c, 0x2f080aad, 0xb42912eb, 0xe299017a, 0xbb5cf88e, 0x013654c8,
+    0x2c53896a, 0x7767e44a, 0x0c11a2fb, 0x7f5d9d27, 0x4c46136b, 0x5f58de07, 0x9cd845db, 0x02d9e530,
+    0x2ab9a67f, 0x4cbac201, 0x05db75ac, 0xe4db2cf2, 0x2ba8d68a, 0xba719f24, 0x8dcf6c25, 0xb5b5e5d6,
+    0x3826108f, 0xffeb182e, 0x31483004, 0x2609acf0, 0xd4a8a932, 0x7a7b4e26, 0xa2422b1b, 0xb2793256,
+    0x46e9be21, 0xcac99a46, 0x0a0fb637, 0x1cde6fe5, 0x13167829, 0xde8fe48c, 0x4b8f5f64, 0x55714b33,
+    0xbe352d94, 0x2e1881f5, 0x2936c91f, 0xa6df9536, 0x9942dab0, 0xdda855eb, 0x0b30490b, 0x9a2fb613,
+    0x56a4b0f0, 0x4c3fa6f6, 0xecc4fe67, 0xd722046d, 0xc9b7cfcc, 0xe144fc0d, 0x71c22e75, 0x570a259d,
+    0x5dba831f, 0xec740d1c, 0x514ecb0a, 0xf4643fbc, 0xeb8b5201, 0x044b06fb, 0xb85387bb, 0x7ae43636,
+    0x7b3f2baf, 0x5592ced2, 0xdda0d07c, 0x5dba14ed, 0x871c4074, 0xf9607241, 0x5dd3f9da, 0x05d2b84c,
+    0x405c9023, 0x0941585c, 0xaa63b371, 0xf0f77091, 0x524b74f0, 0x183191d7, 0x5c4adcce, 0x84eee103,
+    0xb34c8ec0, 0x33b93482, 0x35d9867e, 0x0656716d, 0xd3806b24, 0x075f4472, 0x5317ab8c, 0x028b167b,
+    0x0dfc5e52, 0x689a8466, 0x18d4a48b, 0x0e1114dc, 0x49330325, 0x48fb2427, 0xb58c466a, 0x02083f1d,
+    0x9fd78bb6, 0x24661610, 0x96571fca, 0x0f50f151, 0x39d7ecda, 0x90c2eb1d, 0x853f44b4, 0x8b51c82d,
+    0x3338d22b, 0xbcef8cda, 0x0d7bc515, 0xd77f3bf6, 0xb5b669b6, 0xb3c1b25c, 0x623a810c, 0x4d551cf5,
+    0x71f9e712, 0xb1bc8bd5, 0xe5e93cad, 0x18a4b6b1, 0xb91a32f0, 0x4e444ba7, 0xb8d22b3a, 0x77dccf7d,
+    0x2debe230, 0x812510a5, 0xf6aaaf79, 0x0d0f5175, 0x759b4ecf, 0x8d195732, 0x5faada37, 0xc4b8ae5e,
+    0xd72508ca, 0x72666879, 0x1b28cd19, 0x1b5f2903, 0x3856eadf, 0xd187824b, 0x7feaf248, 0x642febc4,
+    0xeadf2783, 0xd834f449, 0xc8709ec6, 0xb770be35, 0x37528ae4, 0x5a2473f2, 0x2ea5c13d, 0x785f22d3,
+    0xafe6be08, 0x4de361cc, 0x96b4b6ef, 0x20799de0, 0x57a00f44, 0x6e2be4a4, 0x67eaa54c, 0x0ac7762e,
+    0xdd04878f, 0xa41efad2, 0x666b5e13, 0xc0257f15, 0xbf9a7c46, 0xf5e944d4, 0xd6920c00, 0x4bf81a36,
+    0xed8872b9, 0xcf6b3a0d, 0x051ea778, 0xe7f2c8b3, 0xce5321c0, 0xc430a41c, 0xd773a38b, 0xd1b1a51c,
+    0x33b53e0d, 0x23c3fd45, 0x623ce585, 0x5774ab4c, 0x07d26037, 0x5023e7bb, 0x2371f545, 0x9b1c9da4,
+    0xb48ba4f7, 0x76f00793, 0x7031cade, 0x75fce869, 0x622c95ac, 0x6edbc4a4, 0x4505117a, 0x8b4cb600,
+    0x72dd8805, 0x59ad99bc, 0xb1adaa9f, 0x81d3bd0a, 0x318b9d6d, 0x21270cde, 0x3490a5c0, 0xe3b34607,
+    0x6505fb08, 0x8aa0c3d2, 0xceb03ef4, 0xb8a30918, 0x338e7a84, 0xebf9c8ab, 0xa041ad93, 0xf6d20643,
+    0x26d05bd5, 0xd94500ec, 0xc190f9d2, 0x2ebfab63, 0x9585f712, 0x64300dbc, 0xf33c9e80, 0xd64b8e65,
+    0x6d2d77e9, 0x69e684d8, 0xa6288f31, 0xbbc1483d, 0x40eb1f20, 0x1077fbd1, 0x58253266, 0x8959dadc,
+    0x8efe9567, 0x9f21c1a3, 0x3edb4555, 0x64439a21, 0x706f6696, 0x0efb9daf, 0x825df861, 0x10c251ca,
+    0xadcb8060, 0x4221b15e, 0xde5961a0, 0xee78effc, 0xb0878521, 0x74a1ad62, 0x3542363d, 0xf8000870,
+    0x18ede888, 0x01c38b39, 0xec7687a9, 0xe88a6007, 0x68a768e4, 0x76a04b59, 0x165afcd4, 0x88d76a1e,
+    0xc8b0e899, 0x7e30d142, 0x8da562d2, 0xfa4699ce, 0x04055957, 0xd4e62a84, 0xb3d1e8c5, 0x3f0489ad,
+    0xd829f18c, 0x27ab65b9, 0xef04599f, 0x31a84b5f, 0x18870de0, 0x53046e01, 0x27486891, 0xf585d104,
+    0x133e03d6, 0xf663cb4c, 0x02fe9a8d, 0x14364188, 0x70135890, 0x53e5508e, 0x28099a68, 0x12c148ee,
+    0xabcdc88d, 0xf594f3e9, 0x3dc7acc0, 0x037dbe84, 0xf0150486, 0xff748091, 0x90a16e4f, 0xe8445605,
+    0x5349e88e, 0xa8e4c79b, 0xbd395a3a, 0x1b2cd83e, 0x2b28db56, 0x4edb28ea, 0x734d18e1, 0xaee4bf75,
+    0xc8bcf064, 0x2b541111, 0x215cff96, 0xe8f4bb2a, 0x2d65b92e, 0x870e0b3d, 0x20852439, 0xc2243fe6,
+    0x665e02bf, 0x5903d98e, 0x0c2426a1, 0x5aeea718, 0x0938093b, 0x641c31dd, 0x62c9e389, 0x99ff1f6b,
+    0x5e3b2f85, 0x2300a207, 0x981e216d, 0x991ae55d, 0x65feec72, 0x03d5a6f9, 0x0c51ba12, 0x57a59b46,
+    0x0e7238b6, 0xa1fda206, 0x07b32824, 0xd5c2ba7e, 0x6b451d53, 0xcbbe3e33, 0xf5ca4bc6, 0x5acb950a,
+    0xc7a4147e, 0xc1a4e63e, 0x53fd7954, 0xbf392057, 0x2e6fd695, 0xf06195c6, 0xe5c95202, 0xf90d3d23,
+    0xacf5dd60, 0xafd5613e, 0x59f26f9f, 0xc80825cc, 0x3ddaee33, 0x8116dbf1, 0xd0b7defb, 0x33c2455d,
+    0xaf2eb4ed, 0xe1bc27d9, 0x0423645c, 0x176c0942, 0x63b343a6, 0x70d81775, 0x04d257c9, 0x12a1f331,
+    0xe9d786e5, 0x570fcc83, 0xf73def15, 0x566971c1, 0x309c9e23, 0x35c2ab4b, 0x23344afc, 0xf37236bc,
+    0xcd23afa2, 0x661386c7, 0x3074604d, 0xa3d8d987, 0x9eb81d34, 0xf18206f7, 0xff87e0f3, 0xdb33a370,
+    0x7af61b7c, 0xe4ac246f, 0x95e28c50, 0x1d798198, 0x8933af9a, 0x7c099ae3, 0x20fd179b, 0xf8c1b2df,
+    0x28959982, 0xbd43b932, 0xe7ff5454, 0xae717d14, 0x9a873d61, 0xa7787c13, 0x01f85b70, 0x8e5f6918,
+    0xe0254202, 0xfb0f60aa, 0x98b2b13b, 0xec69e2bc, 0x18877dc6, 0x0af40cb4, 0x1feed3e8, 0x56af29ca,
+    0xf563f4c5, 0xd1db3ac2, 0x80b06383, 0xfbcdd848, 0x32ff5082, 0xe2a1ea9a, 0xb92853f1, 0x53b86982,
+    0xe58115a6, 0x25c5b9a5, 0xa382d01a, 0xf85a7bdc, 0xbe0186ca, 0x63b182c6, 0xa6d91f5b, 0x90d5ad3c,
+    0x8b21980d, 0xd3187136, 0x79b62cc6, 0xc5135885, 0x1f51c4f9, 0x5d47d361, 0x89db2988, 0x6bb1fed1,
+    0xe96cf6a8, 0x8f621f51, 0x42528ef2, 0xf3c4ba9b, 0x5e2b5ae7, 0xd7cd69de, 0x133074d8, 0x106519c4,
+    0x8a74810e, 0x46ee5c99, 0xcc158e11, 0x8190dcb2, 0x9646816a, 0x3a92e2f4, 0x2367b26c, 0x2127b229,
+    0x19d1f9b8, 0xa9ba5707, 0xb7c28dea, 0xd209a92d, 0x97b4ded5, 0x25eacaac, 0x627560f2, 0xb41c608c,
+    0x8448d222, 0xbc249904, 0x8e4c0320, 0x7672eb65, 0x73796ea9, 0x35be1360, 0x7027e1b8, 0x504b90f3,
+    0x3a5c661d, 0x50822d25, 0x1553eae3, 0x9961d1f9, 0x8638853c, 0x94e74320, 0xc588fd54, 0xcff4afb6,
+    0x8c5c8a10, 0x4ed3c6f4, 0xf77c9cc2, 0x2a69bc5f, 0xe322b50e, 0x87d6d651, 0xce7d552e, 0x402987b2,
+    0xcde7621b, 0xaef0caf3, 0x90ca6f15, 0xa4933ccb, 0x835f2362, 0x546cde23, 0x705dd321, 0x8c15472e,
+    0xdd52d4d7, 0x8b8c93cc, 0xa83c4606, 0x77744dfd, 0x2f9f6c95, 0x59e8b885, 0xa1328650, 0xf892af15,
+    0x0ee2be98, 0x489f92e8, 0xde5e6486, 0x6395fad5, 0xdf4c38b9, 0xaa64744d, 0x1b8e9c2c, 0x253bf91c,
+    0x3acf360b, 0x5d07d22d, 0xff6f6bf9, 0x8cfbc17b, 0x9140fe0b, 0x5ddb2e05, 0xe88f838f, 0xae72c925,
+    0x04b8d121, 0x4411e104, 0xbac97e35, 0xfb29af78, 0x70335742, 0xd3318f07, 0x6527a4bc, 0xb9b6a68a,
+    0xb86f800f, 0x6e273cd0, 0x41ac43be, 0xbeaed13d, 0x54280f25, 0xdc411873, 0xd83e9ecc, 0x8034ce06,
+    0xf736baf3, 0xa8cc2707, 0x385e7e75, 0x5a1708fb, 0x4a5cd39c, 0xfcac2fea, 0x2d6f6ab3, 0x272f879e,
+    0x22cd93f3, 0x210ad2ad, 0x6c27586e, 0x4cb13c6a, 0x9a8f6576, 0xc64211a8, 0x387a0ffd, 0x3ad0565f,
+    0xd0469809, 0x7f03e1e6, 0x253cfcbf, 0x94096f12, 0x3c91c55b, 0xfb90e6da, 0x29115d6a, 0x8ff05bec,
+    0x342cdcd8, 0x0a9a650c, 0x7443cf01, 0x5b19cf63, 0x3aa3eda7, 0xfb39f8c2, 0xcdfb737e, 0x9becff84,
+    0x0e3e418f, 0xb61d76e3, 0xaa60185f, 0xa204d92e, 0x6ce72b9f, 0xc1097a1c, 0x5b504249, 0x832fe9fb,
+    0x61dd62de, 0x60dd22dc, 0x2bee6d90, 0x1a53f08a, 0x8181e815, 0x3cd112b4, 0x02e5c198, 0x936061d5,
+    0x6cb17957, 0xec401a6b, 0xf7d0ca31, 0x82cc8887, 0xd5c414a6, 0xc0351733, 0x40aa450b, 0xcb067935,
+    0x73cfee7f, 0xda49444b, 0xdda9f8d0, 0x1cfb7064, 0x5f0478e9, 0xd67809f6, 0xef340dd6, 0xad6d5fad,
+    0x0cabe433, 0x9cb26930, 0xf0b5221c, 0xc9c2f8f9, 0x9194a0d2, 0x74a1bf52, 0x2e7f7933, 0x12c681f7,
+    0x76f69712, 0x3b27c33c, 0x98f6fbcc, 0x161f994a, 0xce091365, 0xd79e3691, 0x7eff7ef1, 0x95384677,
+    0x52b6daa6, 0x59bc2343, 0x7184a306, 0x26530d5e, 0xe4c3545f, 0xeb24383d, 0x7408ae86, 0xf415013a,
+    0x4c6f73d3, 0xfc17f40e, 0xf263b6c7, 0xf5c44f99, 0x0978566f, 0xdd9e9314, 0xf3fb8a88, 0x623625f3,
+    0xa59aa3e9, 0x593f11b3, 0xa48abbd0, 0xc4f13d2e, 0x6f7f84f2, 0xb0a929ca, 0x0c3022ae, 0x1a210fcc,
+    0xd7529665, 0x1afe7eab, 0x8fcb3b6f, 0x5691c627, 0xb3cefcbb, 0x72abe372, 0x37260a8a, 0x45b4e25a,
+    0xa5debc78, 0x209e2e26, 0x579a9e10, 0x7045a2ad, 0x66e970b4, 0xd2fe9c0c, 0x3135f4ce, 0xf7fda501,
+    0xa64d7bca, 0x5bc8b001, 0x3e1b9174, 0x0fe0e3f6, 0x7468322d, 0xda5e0dd3, 0x78d45536, 0xd2fe6e09,
+    0xe8ac4a48, 0x0f54d6c3, 0xb9b7d3c0, 0x91ed4a26, 0xb212deae, 0x73995c08, 0x24ad53b0, 0x205029f6,
+    0xa4d89195, 0xdd879c33, 0x55933749, 0x6c1f9a46, 0x00f719c3, 0x436853e8, 0xbfe507bf, 0x7cbc34f8,
+    0xd3e22466, 0xe87977d6, 0x24a024e8, 0x21a34535, 0x39c099f4, 0x09ff8ae1, 0x6517ac55, 0x1c58cc06,
+    0x7f1a93f0, 0x960c3388, 0x356519f8, 0xc4a366e2, 0x1de91bd8, 0x29e8bdb0, 0x6985b1e8, 0x04e15aca,
+    0xbfec4421, 0x41080119, 0x9d148760, 0x6023652b, 0xeaf2b9ce, 0x6b69fc51, 0xb18a0e88, 0xca169e86,
+    0x4c5e1b0c, 0x8eac655a, 0x322f8e54, 0x7a92e130, 0xda0d7e87, 0xc348389a, 0xa5f41b48, 0x09bc613a,
+    0xbf7211ce, 0x6bb31b18, 0x2cdf9ae6, 0xb9b1553d, 0xf8c51d92, 0xb365c844, 0x326b91ae, 0xf8e4b162,
+    0x8d3ac464, 0xd2a099a1, 0xb8e78275, 0xd6df05d3, 0x03ba0b11, 0x4c896528, 0xe2d4eda3, 0x708e0122,
+    0x738af78a, 0xda54b1d3, 0xafa8e42f, 0x3af999b7, 0xd58da577, 0x250ddb01, 0x312bc589, 0x87eb2849,
+    0x8d1ce20f, 0x8b9d7b6f, 0x3dad2f55, 0x3d30ed7b, 0x99c9c3bb, 0xec5afe9a, 0x747a5ed2, 0x06cf7a06,
+    0xebb49b07, 0x1b1642ac, 0x86e5ee15, 0x9bb47a88, 0x51989c6f, 0x59fd2577, 0xc754484a, 0x22a5f5ea,
+    0xe106f0e1, 0xe9ee1779, 0x8dd4720c, 0xab191811, 0x4d65e254, 0x642e800d, 0xe1298288, 0x3be1537c,
+    0xd0944557, 0x589dca60, 0x7ab7455c, 0x058b78a3, 0xb6391dbc, 0x333a3dc4, 0xe792530e, 0x23ff9967,
+    0x1bb093cd, 0xdc945d8f, 0xd22c8a82, 0xb09834f2, 0xa82ccf55, 0x1b6d84d6, 0x84dcb718, 0x9c04b054,
+    0x7e841bfd, 0x9db6f2fb, 0x17a0a46d, 0x297820a0, 0x6bbfd8cf, 0x1143994b, 0xe946466a, 0x476c5e28,
+    0x17c443dc, 0x77fe5376, 0xd08fca39, 0x2dcd83cc, 0xb9b50a50, 0x66a90a1c, 0xa4b6887e, 0x6e690fbe,
+    0xca3c7588, 0x1822c785, 0x3cb04b01, 0x07a2c108, 0x9a27dc28, 0x0b1dd0f8, 0x7418dd23, 0x5ff316ab,
+    0x5ecce5db, 0xee67c455, 0x42635f1b, 0x2dbf3a8b, 0x04e43153, 0xe1fbef01, 0x486fed77, 0x7a0b40d4,
+    0x05dac2ef, 0x1d7e5f3c, 0x84562f22, 0xf925c929, 0xcc15d24c, 0xbcfa281c, 0x7b55a7c1, 0xd7afcb08,
+    0x99b02d70, 0x53527eed, 0x1b006bb2, 0x4a1deb2e, 0x7e591063, 0xe02a62f9, 0x40caee86, 0x9720be62,
+    0xc37b37ff, 0x09641a6c, 0x32da7add, 0x7af42cfe, 0x099bedf6, 0xa98a29d2, 0x40640582, 0x5dce8f0d,
+    0x2e20c2d3, 0xea181a01, 0x87d9341d, 0x626d13aa, 0xdfc27103, 0x9512f47f, 0x4737a468, 0x692c7016,
+    0x62cd644b, 0x15a77b0f, 0xbb198ad7, 0x9793da65, 0x764e887f, 0xf0cee302, 0x9e9152e0, 0xdcb77037,
+    0xb8dc1eb9, 0x52549e75, 0xdebaeeb6, 0x3dd31a22, 0x2ec3202e, 0x98b9381d, 0xd5a98ffc, 0x5a104b6e,
+    0x763b5d4b, 0x4f02d470, 0x723c68b7, 0xf6bfc449, 0x92eb8d8f, 0xa930a66f, 0x60b0abab, 0x81ab1fd3,
+    0x6ab08066, 0x69c0041f, 0x4096904b, 0x077079d8, 0x0c017d8c, 0x9ad6e20b, 0x90bab5a4, 0xe38cfbad,
+    0x2731b185, 0x8587a695, 0x67000b6a, 0x4ba2219f, 0x32454916, 0xfe1e1c68, 0x72fc9b7e, 0x566b80bc,
+    0x90b67417, 0x13bb7319, 0xed941514, 0x2c9db52b, 0x9c6bbfb5, 0x76f046b4, 0x1ad675a8, 0xa01a2ea3,
+    0x1c1ceb51, 0x19bd6902, 0x9f29b0de, 0x62f2571d, 0xcf7e24df, 0x4a28441e, 0x1e86250b, 0xddd9b1f2,
+    0xbbd34b27, 0x6fb3365d, 0x6c7a88e0, 0x9623541f, 0xeeb66c89, 0xb2de1969, 0x2db44070, 0x309eb3b6,
+    0x62044315, 0x753fac9d, 0x52368445, 0x9df26d9c, 0x0ddb0190, 0x3e2b6ed7, 0x8dc6da86, 0xe724401f,
+    0x335334c9, 0x9afd5ddf, 0x02784da7, 0x382e3a6b, 0xd5950fc7, 0x44ddfdeb, 0x0cd739a7, 0x5b39a060,
+    0x4c44efae, 0x990d0dc7, 0x08a58fc7, 0x98a6cb4f, 0xf2ca91ee, 0x6907edc3, 0xf7436d98, 0xb78fa254,
+    0xbb9f864a, 0x2883ae1a, 0xb2ebb655, 0xf715a1fc, 0x973c9631, 0xe59a761f, 0x87154ba9, 0xd624f115,
+    0xe4888a8f, 0xe3cbc64e, 0xf20613c3, 0x7102c146, 0x52c0f0ef, 0xe79db424, 0xc7065e13, 0x3e1e4964,
+    0x80cb1e9d, 0x998b889d, 0xb5ea3e70, 0x124851c0, 0xb40f64e1, 0x98d60210, 0x221b9504, 0xbdae052e,
+    0x845c520c, 0x07396ddf, 0x28b8fe2e, 0xd31be6c2, 0xfe073475, 0x2fa4fd93, 0x111e2388, 0x1ea5f3fd,
+    0xdc8e07aa, 0x62a80cce, 0x305626eb, 0xb335cf5a, 0xcba1cfa9, 0x2a49f84c, 0x3e8f8eea, 0xfcdc523e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000019342813113834066795298816 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8e, 0xa036da80,
+    0x00000000,
+    0x8b9e2eaf, 0x043f6b0c, 0x416d74d3, 0x48ef539a, 0xbd52bedb, 0x12ee9735, 0x4bd0f912, 0x864e6ba5,
+    0x5fb06f3f, 0xedb69826, 0xbf3e9a7b, 0xaa8b3b8a, 0x7af4489a, 0xf34347b9, 0x0d782c5b, 0x4d77aec6,
+    0x035c88e8, 0x0e8cfa74, 0x7291ab87, 0xb8154a64, 0x04a0f264, 0x914259ac, 0x1386f704, 0x8141c334,
+    0xada0a225, 0xf69c72e2, 0xe1fbaeb2, 0xc21f5311, 0x698a7805, 0x326bb9cd, 0x53f9a699, 0xc7100a00,
+    0x95565ad0, 0x2def286b, 0xb544ba38, 0x5c236381, 0x200ec9c6, 0x8243fd98, 0x4034eeb1, 0xfd5026ac,
+    0x3f58337b, 0xe257cf78, 0x517e38aa, 0x48cb4319, 0xddff1610, 0x2961d83d, 0xe5e0a155, 0xe49010f3,
+    0xbd5dd545, 0xd54941df, 0xddc945fc, 0x44e4b93d, 0x8060072b, 0x55627a96, 0xdb423eed, 0xa6702c8e,
+    0x607473e9, 0x6b855d30, 0x3a27ef64, 0xd7618841, 0xa180449c, 0x114ea39d, 0x5a1c00f2, 0x19c4072c,
+    0x1a91d9ab, 0xfab11fe4, 0x0c0845ec, 0xd23310ee, 0x0ef5910f, 0x02085d09, 0x18cda537, 0x8329f653,
+    0xb366e5d4, 0xe35458f9, 0x9a433212, 0x8bdaed02, 0x9037a987, 0x69d12dc2, 0x39b45cf2, 0x7693897f,
+    0xe50ab351, 0x3976d686, 0x451ee850, 0xa8c55a0c, 0x5dedc9aa, 0xa1a39572, 0xa6ecf3c8, 0x41ce523f,
+    0x96deda4c, 0xc1cd8425, 0x444f13df, 0xc8e7b91e, 0xb1ec2e3a, 0x457d2e6f, 0x75b89f82, 0x4ab86835,
+    0xc33d3ca7, 0xb01ae52e, 0xdc784bf7, 0x236622e4, 0xa1f4ed42, 0x27320ed5, 0x29399468, 0x88afa5f5,
+    0x3d3c1b52, 0xf0a1f553, 0x1208723b, 0xe6f02965, 0x9f23c42c, 0x22054ab1, 0xfd366366, 0xad323a96,
+    0x0d57d500, 0xf6deb0b6, 0xa9860e70, 0xcfa64fd4, 0x670e47ef, 0x5cde0ffb, 0x433b9fe6, 0x42fe43fd,
+    0xcacff875, 0xa370d92a, 0xe3d67f69, 0xdde56605, 0x0e003df0, 0xb143da1e, 0x644355f4, 0x6f826633,
+    0x57edf418, 0x68dccd7e, 0xaca1420c, 0xec25feb5, 0x3cffed01, 0x794e51de, 0x9e6ed70a, 0x8de85e73,
+    0x00db1306, 0x2bfb4247, 0xdf33b765, 0x7aea2695, 0x614c06be, 0xfd586cfa, 0x9d99fd37, 0x7bfb22b9,
+    0xfe07baec, 0x61d2048e, 0x1ef5430b, 0x357d3c91, 0x9de10a2c, 0x9300de4c, 0x9527f9e6, 0x6010e127,
+    0xaa5e6aef, 0xe94c79a1, 0x7d1c3250, 0x7d3ed82e, 0xc17550de, 0xd6ba121e, 0x9010e002, 0xdbad41de,
+    0x70c9a26f, 0x96a3abe2, 0x8b29accc, 0x4da37109, 0x7260f24a, 0x136293dc, 0xa55b389d, 0xefcc359e,
+    0xe2735061, 0x1cdb227c, 0xe9070161, 0x070fc286, 0xe3e854e1, 0xfc49a725, 0x2519345e, 0x98f1093e,
+    0xef650cf1, 0x38db81c9, 0xc45b63f2, 0x7b624256, 0x7efe8aac, 0x2528dd93, 0xa48c056f, 0xc44a5d78,
+    0x4cf3c2d9, 0x5b7c49fa, 0xfb2e0611, 0x07015b5d, 0x7f4ad3b3, 0xacbb04a0, 0x91d7300b, 0xbea281d5,
+    0xd4ba8724, 0x57c7b755, 0x45f64228, 0xcf29f9e9, 0x10f75de6, 0x38968b76, 0x0eed2f13, 0x4c061710,
+    0xe5c119e3, 0x23c60d42, 0x013669c4, 0xd3dcd393, 0xb679b6f5, 0x568f2bfc, 0x6d1796c4, 0x0156e040,
+    0x01632867, 0xf50d1b1e, 0xd144453b, 0x5cfca3cc, 0x308580bd, 0xed74e02b, 0xd57dfc4f, 0xd56e3bb7,
+    0xd94a6542, 0x06dd6cdc, 0x65b964ba, 0x14b291b6, 0x7c41f741, 0xfc23d338, 0xcc1288ab, 0x4cc13bd6,
+    0x5f490b2c, 0x9d6dbe4b, 0xbf0f03b3, 0x0134bba4, 0x75ef88bb, 0xcb7b6fbc, 0xe4980330, 0x9d50f03c,
+    0x1a537b68, 0x03642ab8, 0xacf4dfd7, 0xf4f57633, 0x868dc16a, 0xca464a0d, 0x40d75099, 0x27695d48,
+    0x6b87ad24, 0x59195df3, 0xeb6a6a8d, 0x61ec7674, 0xde7a2107, 0xab5eb398, 0x6511edd1, 0xfc9dddb5,
+    0x6159f7c0, 0xb0e6d37d, 0xb6800f9b, 0x5fc50248, 0x11b543f0, 0x5c2b3612, 0xcaab2e85, 0x60df36fe,
+    0xff9edabd, 0xe567cf60, 0xe46846a2, 0x03b2f86e, 0xe1867910, 0xf6accfc3, 0xfc2d16d0, 0xd24df8db,
+    0xaedde935, 0x45c3f6ba, 0x6bbc2f10, 0x01f9a454, 0x65d618b6, 0xa8635f98, 0x62cb9e2f, 0x3674d9e3,
+    0xa09077b2, 0x88a98c3f, 0xae1a4bb9, 0x68432463, 0x24202f80, 0x3f3375da, 0xa352ea76, 0xa7daffbf,
+    0xccd72f78, 0xe676e98e, 0x0de2df31, 0x932e78b8, 0x52857651, 0xdae7c213, 0x745f87d3, 0x8df76f79,
+    0x5af23fa4, 0x8bcc3f52, 0x3ef52fb6, 0x987c5b04, 0x5a40a774, 0x94799101, 0x64b341df, 0x88482a27,
+    0x25943fd4, 0x1f32b8b7, 0x6fc64d22, 0x4507d2ed, 0x91090a6d, 0x417a765f, 0xc640cdb4, 0xfbb26a0d,
+    0x3092131d, 0xa393ccde, 0x9e351e5c, 0xf883f180, 0xf1f07acf, 0xddf62bf9, 0x9c2a9fa7, 0x3792f4c2,
+    0x58c049ff, 0x34879bc6, 0x77413b1c, 0x58241cc2, 0xd6100eb4, 0x0cf9090b, 0xfbff90ab, 0x0ba511c9,
+    0x95b5a56e, 0x7b043b84, 0x304ba6fc, 0xd2136b2b, 0xa4b5cab0, 0x3eb28fdc, 0xf8ee1d9b, 0x33813542,
+    0x933cb368, 0x20127092, 0xee22105a, 0x7357b7e4, 0x58df48ec, 0x80644a9e, 0x4b137cd7, 0xfcf7974a,
+    0xbac7783b, 0x970dab7b, 0x5c0455db, 0x63399b72, 0xd1811dc0, 0x4f2dbb96, 0x128dde2e, 0x99b7fa75,
+    0xcc514f77, 0x0fd6bebf, 0x1cd4d50e, 0xa0e2a236, 0x4bc89356, 0xd479bf3e, 0xed8c3b8c, 0xe9794dee,
+    0x4a62a47b, 0xe7bb9c84, 0x32fe92dd, 0x3269a949, 0x65633b4b, 0xedaee218, 0x2dbde67d, 0x2eb6e72f,
+    0x2c251f5f, 0x1a712e2d, 0x9f9c0c36, 0x45427a54, 0x2a9597b4, 0x5a3913b1, 0x214957d6, 0xf8985917,
+    0x97d86eb7, 0x19221f32, 0x8ba1079a, 0x0aee9719, 0x25941342, 0x90a27ea2, 0x1af7890c, 0x777188a0,
+    0x33bdb5f2, 0x7801ceb3, 0xa54e8d83, 0x89cdaf1d, 0x38f9d065, 0x6304f8c2, 0x9aa7060f, 0x2c231e65,
+    0x997ca09f, 0x317e3338, 0x8d5cf93d, 0x9da466e5, 0x5b32392e, 0x346f5c5e, 0x370ab079, 0x81c6e77d,
+    0x4d63443a, 0xe4346641, 0xafce6df9, 0x741d4064, 0x433d521a, 0x12b2c47b, 0x9a6a510b, 0x6f725b30,
+    0xe1993113, 0xa29cb825, 0x093e23d9, 0x0db5c805, 0x8048bfa1, 0xdd6ce2f8, 0x92f3209c, 0x4b461cb4,
+    0xd5a23e7e, 0x7184afd3, 0xd6ad0db2, 0x737f8fff, 0xb3262080, 0xd349b420, 0xd27d489c, 0x81c06955,
+    0x763cdab3, 0x92918aac, 0x7a31244c, 0x494ec32b, 0xb7854338, 0xdda32dc8, 0x39ee04bc, 0xd57c173d,
+    0x8e9a2401, 0xd4a82aa1, 0x51ee3840, 0x8660ccf2, 0x39b7d42e, 0xba022e5c, 0x105335ef, 0x6b3e9ddc,
+    0x99a7b67e, 0x4fd60d82, 0xeada92a5, 0x084e61b9, 0x5e8c2571, 0x1ddf1deb, 0x9da289d3, 0x5a1a99cd,
+    0xbd4400d2, 0x3e94201d, 0x8d739e74, 0xb9b21c4d, 0x05ee68eb, 0xefe198c0, 0x332f3434, 0x8527e645,
+    0x98413ef6, 0x29e2c656, 0xd533fed2, 0x29dd8195, 0xa1ff4580, 0x706afaf5, 0xd08fa37b, 0x5e623815,
+    0xfbf6e807, 0x11e730d2, 0xd006d4fa, 0x01d37a4e, 0x229ebed8, 0x0109358e, 0xcbca96ac, 0x6f62847c,
+    0x53184115, 0x05642563, 0x4008a590, 0xcedfb308, 0xd4a9da0c, 0x61d098f2, 0x0142cb3c, 0xe7ec6a08,
+    0x758275d7, 0xb23c176f, 0x8b72e3ca, 0x4959841d, 0x73f0b897, 0x02f13829, 0x5078d170, 0xba3d706c,
+    0xb753266c, 0x4a2eaab8, 0x2afdfe11, 0x611f5254, 0x4419fa39, 0xabb53452, 0xb3650450, 0x00ef0e16,
+    0x550cb072, 0x7e0b3378, 0xd3de9edc, 0xfafe4100, 0xc5951bfb, 0x224664a2, 0x2691e51f, 0x32135e88,
+    0x859d000e, 0x59931965, 0x62b3f770, 0xfa88c865, 0xdabccd54, 0x159d1201, 0x9cff5161, 0xd390fbab,
+    0xf929d293, 0xb944e034, 0x702cb3f6, 0x3b9c1c1a, 0xe38b3140, 0x05603f4a, 0x5bb9f2d4, 0xe86149ec,
+    0x134517f7, 0xd0598085, 0x536565dd, 0xa0c9c394, 0x36747020, 0x01d8a8e6, 0xf1d8ff33, 0x58113466,
+    0x202867a1, 0xe5b9f1fa, 0x004ff039, 0x8cbd534d, 0x642575ac, 0x11c46a2d, 0x1016fadb, 0xb1316722,
+    0xdf934230, 0x4ae10cd4, 0x223f37fd, 0xb8e26e40, 0x11339dd0, 0x70a6e47b, 0x0e611e08, 0x48ce4926,
+    0xe7d67d4d, 0xe37da255, 0x3fced98f, 0x9da20b6a, 0x58917fab, 0x1f6c6820, 0x047dbf23, 0x66e4c635,
+    0x020afe14, 0x36bf3e35, 0x0689d874, 0xcb60b0e9, 0x38519b1c, 0x60d40107, 0x49d2fc0d, 0xf9579bde,
+    0x485a46a0, 0x325d8865, 0x44250cae, 0x5848ebf6, 0xf5b75e58, 0xa845450e, 0xa54be08f, 0x6286deb0,
+    0xdb88af64, 0x5f1e1e39, 0x233fb48c, 0x9b444665, 0x38c6fc08, 0xd8bbc873, 0x9c83ab0e, 0x432e9714,
+    0xad763f56, 0x9b77e8bd, 0xb0abc1aa, 0xe956b790, 0x8262b6de, 0x1ab0638f, 0x4871ac1f, 0x128e94f4,
+    0xb33b5bb1, 0x9e94bc61, 0x2e481b9e, 0xb9c6d3a2, 0xbb850831, 0x93161b2a, 0x24d12de7, 0xfb2f62a9,
+    0xfa40ee36, 0xb1a4ad2f, 0x076ff633, 0xf8a85a0c, 0x90568061, 0x283ea6ca, 0xa9028f2c, 0x9cc2d17b,
+    0xd4064724, 0xa567da5c, 0xfc03513d, 0x617be5e3, 0x0ed3ac2e, 0xc6162a4c, 0xcf2b400a, 0x9cad4fc9,
+    0xb5b48097, 0xfa05a683, 0x996f0a5b, 0xb4105d4a, 0xca5106c6, 0x34d49c38, 0xea2a70a9, 0xecd81453,
+    0x75f38e3d, 0x1e38c1a3, 0xbf00adaf, 0x2bd72c7e, 0x62652882, 0x1e8bd203, 0xe9ab92d8, 0x8376bd94,
+    0x1ff629ba, 0xe8299eef, 0xe1ded436, 0x134cff22, 0x4bedbbd5, 0xa1d827ec, 0xec92a21f, 0x8c515b17,
+    0x03a9447f, 0x9af1b2e3, 0x0b19f3e6, 0x1e4e072f, 0x3b6fa983, 0x4da322de, 0xceee5c76, 0xf730ca74,
+    0xecc93fc3, 0xfc1ee25e, 0x00bc33ef, 0x958bf026, 0xebd5f51a, 0x53d9a387, 0xf9c73828, 0xf040f561,
+    0x858afa53, 0xe723b488, 0x81d2b93d, 0x76a689e3, 0xb39d2f11, 0x99e9f096, 0xfb970656, 0x0a9b24d1,
+    0x8ccb5364, 0x178c3cb4, 0xc4b8319e, 0xe9a9c244, 0x5b780775, 0x4715f3e3, 0xb0090448, 0x0e5b3ef2,
+    0x3723f01e, 0x00d04a27, 0xfe149dc0, 0xd47dd71a, 0xd4dd46c3, 0xb1d5af1f, 0x8efc24dc, 0x07f03ed0,
+    0x316acdb2, 0xe47700bb, 0x75c29c20, 0xa260a622, 0xd37f033c, 0x31c341ae, 0x5380d25f, 0xa6e39bae,
+    0x6850b019, 0x43c85a12, 0xb8dcf397, 0x3f8c1e08, 0x727db999, 0xb4e97bbd, 0xa59fe023, 0xa2507d43,
+    0x50fc059c, 0x1dd230c2, 0x487f2a35, 0x7c33f6df, 0x4053461a, 0xdb449e18, 0x5925e29b, 0x28701b38,
+    0xc9154149, 0xc8359bbd, 0xea6e4161, 0xfcbbcdba, 0xeb148cc5, 0x075f1a14, 0xf6038b69, 0x01ac43a2,
+    0x6b7ecf76, 0x29a829d4, 0x6a8c2ec5, 0x1cfe1e70, 0x986473ff, 0x9b708aba, 0x846690f3, 0xf13b60df,
+    0x3994be40, 0xd3a150e3, 0x24c898c4, 0xffd78151, 0x6fec9922, 0x332aef62, 0xc0a5d5cb, 0xc3089b43,
+    0x7b3a4a36, 0xb9c23592, 0xd9c958d9, 0x4aa849df, 0x790525a5, 0xf71a755b, 0xd5101eb1, 0x335ac3b9,
+    0x240977ff, 0x4bd43b5b, 0x5d02cb09, 0x12b03500, 0xa9989819, 0xbaa1c6e0, 0x2374ef67, 0x5ae7e03c,
+    0x8ee481c5, 0xf9c6bd8e, 0x0cb48c3f, 0x98a89dd8, 0xe9d66e94, 0x2535b843, 0x333ddd7e, 0x99fac493,
+    0x11588663, 0x4cb4b1c4, 0xd8d6153a, 0x5fe34867, 0xa77c5b21, 0x7d879a29, 0xff90eeb4, 0xa8a018a5,
+    0x2f6efd56, 0xc80ab9ce, 0x1d584a97, 0xa2576127, 0x54011e05, 0xd55f4272, 0x7b69b8ac, 0xc4b6c786,
+    0x78c6e67c, 0x5cff3a7b, 0x6b079514, 0xb10d1224, 0x0682f3b7, 0xbafea83a, 0x7d06184a, 0x0d9f916f,
+    0x21243446, 0x11ec84b6, 0xedb8e651, 0x799b00f1, 0x9fb3f3bb, 0xaf097208, 0xe558ac7f, 0xbb3476c1,
+    0x0bfbf3a5, 0xcf3dcbcb, 0xb26207f2, 0x3de974ad, 0x4fd30f84, 0xccc77304, 0x03079b22, 0xfcdd360e,
+    0x28f68d7d, 0x1a4eb302, 0x561dfe0f, 0x64ed4a58, 0xe4db6b01, 0xf3450548, 0xe904ab1d, 0x6f52aebb,
+    0xf909c169, 0x165907ff, 0x988c6544, 0x521ed8a4, 0xfa1485bf, 0xebdaae03, 0x235ba468, 0x228d28d5,
+    0x2393d197, 0xc23c145a, 0x492dca00, 0x7d30a71f, 0xd9bb53fc, 0x5b38eebe, 0xc2e1b030, 0x5e5df059,
+    0xbcca683f, 0x92c44a8f, 0xc2052086, 0xbaacd3fd, 0x299f1173, 0xe0d89c22, 0x35765086, 0x566b1187,
+    0x0d8579c1, 0xc2f115f6, 0x0e129486, 0x6e538290, 0x238b25dd, 0xa6da9bf3, 0x7dd93266, 0x8b02be50,
+    0x064822b3, 0x08a9db82, 0xa70129fc, 0x99bcd349, 0xa2ebd855, 0xf57be981, 0xc23e40fc, 0xacc9f227,
+    0xd356c831, 0xb140bb25, 0xc859640f, 0x96069a08, 0x203ba1ce, 0x729e8b53, 0x448d1c78, 0xc183a718,
+    0xf2fd3e52, 0x3543f9c4, 0xbfd3fea5, 0x6a7d68e5, 0x661732cb, 0x091c7533, 0x9e7a9131, 0xac83df8f,
+    0xad413657, 0x0339be9b, 0x332a82f0, 0xcc35f921, 0x59283595, 0x0fd59e91, 0x8e6b7d90, 0x862a6133,
+    0xbc16e688, 0x81bca982, 0x208fea84, 0x68f50557, 0x8ff78536, 0x6b2a1d9d, 0x26ac6b6f, 0x57afd15d,
+    0xe6a9c1a0, 0xc932ab4b, 0x318a3b0c, 0x496c543f, 0xe115e798, 0xb12a744c, 0xe21b9473, 0xa81b5f73,
+    0xe4c93472, 0xaf05a84a, 0x8db5ad51, 0x36dcc48e, 0x1a2d34c4, 0x4559004a, 0xf69f98fc, 0x080f1c06,
+    0xe45beaa8, 0x9887a1f3, 0x73a95431, 0x1ed97ea7, 0x508c8d6a, 0xdc3bbdbb, 0x080fb176, 0x836e6022,
+    0x6920c5a3, 0xf1ba6900, 0x11b92725, 0x78d4d24c, 0xf6596d13, 0x701f4063, 0xe602afc9, 0x91134af4,
+    0xec915bfd, 0xd5913d21, 0x5ac5044e, 0x0801e116, 0x39e34d8a, 0x6dde4da2, 0xff942d82, 0xcd7f5924,
+    0xf63c274e, 0x271a82ae, 0x5c3701cb, 0x2d1417c9, 0xab2cef69, 0xe244012c, 0xb825efe5, 0x277850cc,
+    0x0b3ad42e, 0x1c1fc665, 0x762993ec, 0x1a5fb329, 0x011b2696, 0x3a07f4e0, 0x7eb847be, 0xc9bcd12d,
+    0xac5ac990, 0xee423695, 0x94530617, 0xca8fef65, 0x0481d5c2, 0x0a0ef3f8, 0x7aad622c, 0x103084b3,
+    0xb0a5e445, 0x8fa175e8, 0x7a36ace3, 0xb7ea3c3f, 0x20827669, 0x15c1935d, 0x6549da78, 0x4d20df8f,
+    0x8a0c563d, 0xac0e085b, 0x1461b735, 0x04113d13, 0xa25d3330, 0xb40ad0c5, 0x8b2e8961, 0x4494fef0,
+    0xdaa8b12c, 0x10992b22, 0xdad267f6, 0x7ba01f85, 0x90fb60cd, 0xe11893e6, 0x07b64a94, 0xda797a81,
+    0x2c0a4be0, 0x160bb05b, 0xe051d889, 0xba288b54, 0x440afc0f, 0x6fba43e3, 0x582f2631, 0x38ed3d26,
+    0xf4f7c2f2, 0xca73c510, 0x3be4f034, 0x8678a915, 0x2efda8af, 0xf2c916aa, 0xf0f78ffc, 0x606bc412,
+    0xc60e484c, 0xcd7faa2a, 0x797695d2, 0x48c0237f, 0x62344e43, 0xc0a11341, 0x8864aa7e, 0x4c783f90,
+    0x74f4da29, 0x18b0c4c4, 0x61d29825, 0xbbdb1d8b, 0x4f306956, 0xee1445da, 0x470af857, 0xccb7b3ab,
+    0x878ecd0b, 0x9d57e88e, 0x1f13c2ab, 0xbd4d666f, 0x7a8fcfb3, 0x46a5d5c1, 0x0e07263c, 0xacf9f6e5,
+    0x15554a3b, 0x5aee8e1d, 0xfe221f22, 0xcc914d6e, 0x1ac955c0, 0x94bbdc9f, 0xa31b4b9c, 0x3ee89ee6,
+    0x6514bdbe, 0x2a82cc04, 0xc73a3044, 0x1a75b01b, 0x3cb789b4, 0x16d544ac, 0x01428a80, 0xa5a13c4b,
+    0xf60e761a, 0x39c12998, 0x12040f1c, 0x7529c34c, 0x3ecbbaff, 0x2066bfd9, 0x7c0aa270, 0xa10f2bd4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000009671406556917033397649408 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e47, 0x501b6d3f,
+    0x00000000,
+    0xbd0e57f6, 0x07871371, 0xad58da65, 0xabdb6290, 0x3cfd761f, 0x5283d6d6, 0x4eb15f0c, 0x0c7e8b10,
+    0x18c40277, 0xa31f6e02, 0xdf0b2457, 0x0850cbdf, 0xe7cf7bbd, 0xe7d964f2, 0xf2abbc27, 0x7d9e3b69,
+    0x1cb58be3, 0xc0305650, 0xf3eac09e, 0x8a2f4f0f, 0xa2ce9342, 0x8b169779, 0xb326e3a1, 0xed3fa80e,
+    0x7ae10cc7, 0x02b8740a, 0x91c7dbad, 0x85232bb5, 0x87366da6, 0x23aea40e, 0x4acabe09, 0x398e4aeb,
+    0x39a6b49b, 0x0372a937, 0x284d707a, 0x7deeb3fb, 0x8c8cce80, 0xed5fab6b, 0x0bddda13, 0x93c085c3,
+    0xd9ef3421, 0x3b8832c2, 0x817f0ab7, 0xfa384556, 0xe882fc9e, 0x8c6d7fe9, 0xc1500da4, 0x5bfc831c,
+    0xc02be358, 0x6b037592, 0x585cbad7, 0xf3948aca, 0x0ab3f217, 0xfb0ac5ba, 0xb62560df, 0x295a0a0c,
+    0x29e118c0, 0x3db4aa78, 0xe360a070, 0x84b09e65, 0xb35406d8, 0xc5cd18c4, 0xed72f9c7, 0x6678658c,
+    0xab250091, 0xf61e05ba, 0x2ca9a0e8, 0x60557e71, 0x6c1df401, 0xc87ca1b7, 0x8b48e5bf, 0x040c7cec,
+    0xba6bad38, 0x0f4be7a6, 0x331fcf7e, 0x8ffab77c, 0xfe955bc1, 0x8efcbb98, 0x6dba9237, 0x47b01343,
+    0x9f25644a, 0x4d7ceb6e, 0x9e7105cb, 0xea3ba3ab, 0xa94cad6f, 0x963346d0, 0xe57d8239, 0xc41127df,
+    0xb7e4f241, 0xec6fe51d, 0x2613c5f9, 0x5f2c508b, 0x694b85b3, 0x29c0a3c6, 0xd8b9be66, 0xf16c6389,
+    0x7c49ef43, 0x3843fe86, 0x3f98bf4f, 0x1486bc20, 0x3d606750, 0x2b719814, 0xb3aeaa00, 0x534a8727,
+    0xcfb09039, 0xc82d8979, 0x6c0bff76, 0x15187b4a, 0xf2e730a4, 0xc427407d, 0x38f500c2, 0x0b353b76,
+    0xb296add0, 0x9f105d76, 0x77798c5e, 0x5a4d3845, 0xc4b76d62, 0x6d8346a0, 0xf4aac804, 0x7d81f88b,
+    0x0abdcc78, 0x70630a02, 0x114b6254, 0xb225a0a4, 0x858a4409, 0xb0ba1ef6, 0x7b1da2f5, 0x68c5ca66,
+    0x7675124e, 0x954f7eab, 0x8a7c7989, 0x6274e9ca, 0xb854999b, 0x518c4f3f, 0x0e51391e, 0xaaf69c9e,
+    0x2824a14f, 0x9c01b703, 0xd539081c, 0xcf3da4f6, 0x2262b7b2, 0x3fa5012d, 0x5d9d9807, 0x5882a901,
+    0x2281e866, 0x37190e2c, 0x2d1057e7, 0x240a6261, 0xb55d31c8, 0x9f53e2ef, 0xc288ef10, 0x231db647,
+    0xcc3a2d2c, 0xe773eacf, 0xe74224e4, 0x8f60f0df, 0xdf9ff9d8, 0x1f0c38b8, 0x5714e3f1, 0x817230ba,
+    0x42f79c0e, 0x50846f6c, 0xfd37c42b, 0xd04e356f, 0xa3de4074, 0x3b768838, 0x41e66019, 0x6031bd36,
+    0xa5cfc98a, 0xb0376534, 0x0041efba, 0xdbd2b8a8, 0x3280b111, 0xa873ed75, 0xedb4c3d2, 0x44a40af2,
+    0xb3917ca5, 0x07c5d04b, 0xdc8d51e8, 0xa129f701, 0x9d11a035, 0x1d7fd07a, 0x087ba3a5, 0xb6f79148,
+    0x375ff63b, 0x7c03556a, 0xa80a4924, 0x37604a4a, 0x3ba5a408, 0x7f3acf77, 0xdab63072, 0x5486714f,
+    0xf3eb3e0d, 0xc8d6c5f5, 0xdf14c139, 0x6c1850e4, 0xea6ee48a, 0xdf3d2246, 0x065a4d9b, 0x3fb263e1,
+    0xbe34d322, 0xe9ea77da, 0x164c50fe, 0x656b65cc, 0x7b5800b0, 0x1d8902fe, 0x4dce7549, 0x7f6a7d1f,
+    0x1a25a1be, 0x66377a4f, 0xbe6229ab, 0x67993f18, 0x1cd1f3ce, 0x141881f9, 0x40029b1b, 0x00c33bc8,
+    0x72caddd3, 0x148fd86d, 0xaea07d72, 0xe33505e2, 0x89791579, 0x63fb20ca, 0x26441bda, 0x4b24e406,
+    0xf0a5414c, 0x877d3651, 0x30ed34c6, 0x48b9aed1, 0x80ed90ea, 0xb8016118, 0xc8f13c49, 0xc0976f0a,
+    0x67973dad, 0xcaebe47d, 0x031ec45a, 0xe57e93a3, 0x26e2c932, 0x4c8e21d9, 0x8ae3827b, 0xc45a695c,
+    0x1be30208, 0xbf589fda, 0x0eafe11a, 0xbdc403ca, 0x8834e606, 0xfe20708e, 0xb889ae46, 0x82799216,
+    0x8c4b5472, 0xe862a2eb, 0xfa11d018, 0x442c0ae2, 0xe6e35d08, 0xf3865918, 0x150e438e, 0x2f54a8b7,
+    0xbc69df11, 0xda2bc0dd, 0x1b763715, 0x6b0163d1, 0xd6e58613, 0x875b9062, 0x02a87e9b, 0xa37b45aa,
+    0x202d1776, 0x9773fe31, 0x55f23c09, 0xef135275, 0x6f12b8bf, 0x8270d9aa, 0x79f60741, 0xc0e3129e,
+    0xb98f155c, 0x8d791943, 0x39a8c81a, 0xccc55a7b, 0x17ae6b6d, 0x9e7026f7, 0x18b1aacf, 0x1b9cfb66,
+    0x1baa4ecc, 0x8543548d, 0xe313a647, 0xeae8c919, 0x534dd04e, 0x799fc940, 0xb63cc66c, 0x1cfa6c51,
+    0xc69c92ee, 0x270a11d3, 0x3d1c1709, 0x2943030a, 0xb6a2952e, 0x806eba28, 0x58a6b311, 0x139afcf3,
+    0xd90f4080, 0x511446ce, 0x30719090, 0xb06a8761, 0xffe8f60d, 0x572455f8, 0x695a40c5, 0x8b709e39,
+    0x62568a8c, 0x9272a06a, 0xa07bedb7, 0x9585e404, 0x298849bf, 0x4f4cc75a, 0x34cf2ca0, 0xefe08756,
+    0x345832bd, 0xb08fd754, 0xa974881c, 0xf1024ed1, 0x12fa5bd0, 0x6dbba531, 0xc2dcec3a, 0x6cce3861,
+    0xffc9eff6, 0x7f8d4f78, 0x7848d64d, 0x00dc1412, 0x0c50669e, 0x3efb1bc0, 0xc5aee1f2, 0x649428f1,
+    0x5534a1e2, 0xcd9483f6, 0x64bab04d, 0x8ab977e6, 0x2af6de18, 0x006a3650, 0x90cf7003, 0xb6889a85,
+    0xf8bb14aa, 0xc4649df3, 0xac6dc738, 0x229493cb, 0xfca2b0ef, 0x9575e28e, 0x20a3954c, 0x486d6e85,
+    0x94fa8950, 0x5c3747c6, 0xc4bc299d, 0xc3be4cce, 0xedcfb6bc, 0xbb113bac, 0x03d730f2, 0x670777c2,
+    0xe09dc352, 0x1ea2e908, 0xb8e0f662, 0xb2fc0810, 0xcc1e6f68, 0x996eb590, 0xa3cad936, 0x795824b9,
+    0x7ec03627, 0x7e88ca78, 0xe66563ea, 0x3414d1b3, 0xde223f0f, 0x10198e26, 0xebba81cc, 0x5c4765db,
+    0x1cf81b7c, 0xdcb6d471, 0x4ed35021, 0xec717a1a, 0x65a75261, 0x0ea276a5, 0xc0446e40, 0x994cfd0d,
+    0xea62c12f, 0xde723a32, 0x57569153, 0x263ae7d7, 0x197af054, 0x7c179fff, 0x268c8104, 0x0331baff,
+    0x0c1ce25c, 0x4ed65c7d, 0xd1735e91, 0xe83bf4f1, 0x611cd40c, 0x0662a2b3, 0xdeb39cac, 0x58206452,
+    0x1a24c2ef, 0x99e92b84, 0x1e270917, 0x8181e575, 0x86026acb, 0x3954b02f, 0xeec0cbb9, 0x240d0d70,
+    0x80f6d747, 0xb109bf85, 0x5431eeda, 0x01eff30a, 0xb3f77743, 0x6d809ed1, 0xf2629fdb, 0x34c8e83f,
+    0x342d4228, 0x26d2fb64, 0x2eaadf1a, 0xc8bf8304, 0x072a6523, 0xfadfe96d, 0x1c1d8ef1, 0xcc65fd06,
+    0x02b3a983, 0xfdb9de9d, 0x05900bd0, 0x4745bb7b, 0x50435361, 0xde4756cd, 0x4f9cf70c, 0x1e271afb,
+    0xeeadf865, 0xc3c069dc, 0x407cfc41, 0xc25279c0, 0x9a21891c, 0xd100fb97, 0x170667c2, 0x65e97ed6,
+    0xc4ed4cd1, 0xb840d930, 0xa943e2d4, 0xf56d1352, 0x8425797f, 0x31e99eb4, 0x6c78c4d8, 0x14ba7c79,
+    0x6347d9d2, 0xa80d1577, 0xdfebf9bc, 0x1a5c897c, 0x508eae0d, 0x827bac5a, 0x38c00974, 0xc140be36,
+    0x01016978, 0x7c78408d, 0x0d27ab4a, 0x9482a767, 0x6f3e3965, 0x02d00dc2, 0x349cbb15, 0x3bbf3870,
+    0xd82423ba, 0x30d3e5e1, 0x625e2979, 0xa1f45647, 0x4a30a3ea, 0x11a729a1, 0xc6ccdeb4, 0xe7dec1ce,
+    0x93f6d5fc, 0x387db184, 0x50f37dbf, 0x78656435, 0x684043a1, 0xcaa0813d, 0xb8f8640e, 0xc6bbb940,
+    0xed1936a5, 0xa7ff1e3b, 0xc217cb6f, 0xf25c0c82, 0x24af2dc1, 0x0fb0fd3a, 0x96a14626, 0x3474c4f9,
+    0x5cf20d84, 0x59a2c378, 0x1ff0003f, 0x969e8a28, 0xfe49924f, 0xb4d9bb34, 0x4692bef0, 0x295acbce,
+    0xb0c62646, 0xad3f328b, 0xebe6c331, 0x3b3930c3, 0x32a202e0, 0xc0eb7f9d, 0xeb338761, 0xe679de79,
+    0xec827a1c, 0xdb8267fb, 0x14874820, 0xb92b3d89, 0xb08a948b, 0xaa2c7387, 0x7a3a63f5, 0x0e68d3dc,
+    0x0c4fbf47, 0xd7109a26, 0xe6d0163a, 0x626a113d, 0x559298a6, 0x40e3d9dc, 0x0da770a7, 0x6aa05a5e,
+    0x3b22c9d0, 0x0a037a8a, 0xe2be7c49, 0x70094c17, 0xbdb646a5, 0x4538a2d9, 0x812070a7, 0xf3b7589a,
+    0x52e6001c, 0xb90b4712, 0xc2af1ae7, 0x78bc8987, 0xe2340e90, 0x407b293e, 0x8f0a0bd1, 0x767184c6,
+    0x007325f0, 0x5f9163bb, 0x44787c2b, 0xb1e25cbd, 0x0a6e05cf, 0x0b82a7af, 0x40bddd52, 0xd1a4198c,
+    0x24cf8fb0, 0xa620ed6d, 0x224d5403, 0xfbe015fa, 0x0d87911b, 0xbc774f4b, 0x9a1dd1c7, 0x93028f3c,
+    0x10df80dd, 0x83e1d62c, 0xee3edcf9, 0x3f632663, 0xe04b10d0, 0x7534ee9f, 0x9ed03e20, 0x01afaf12,
+    0x176ce9ec, 0x7b1bb2ff, 0x7639a1ec, 0xc1080f69, 0x89aaf000, 0x86d2f5b1, 0x6ed9e8da, 0xa5d0ec68,
+    0xc0c835e9, 0xf8cac915, 0x0da26aaf, 0x4c43873d, 0x1d267a7a, 0xf4d8e04a, 0xdd2118b8, 0x92e0f4a5,
+    0xdcf7c5d5, 0x1b8fcf94, 0xec946567, 0x6889d3e7, 0xae1e24fb, 0xecca7f91, 0x486dddff, 0xe73d3c56,
+    0x7684effb, 0x6ffd1c28, 0x282be7fe, 0x24d7b973, 0xa983fe27, 0x2ab1cb99, 0x76522cd6, 0x26fe23c4,
+    0xe57aeb88, 0x8c43eb5c, 0xb7d01fc4, 0xf9372d66, 0xd410e5a9, 0x66a5886a, 0xa65ae21f, 0x0e8239aa,
+    0x1d412758, 0x4c26c75c, 0x61119ea0, 0x2144606d, 0x6ada410e, 0x11be65fe, 0xf8f40d1f, 0xdbfcf450,
+    0x857b256e, 0xabbdc195, 0x028a9d42, 0x4fe8ea14, 0xe5f60974, 0x5864b490, 0x010c3402, 0x11bd28b3,
+    0x835550a0, 0x409523fa, 0x5ff92c90, 0x694d546e, 0x36371a2d, 0x252b8707, 0x23d57a0b, 0xe40e95ed,
+    0xc91cf988, 0xa6898ef8, 0x6f1245f0, 0x195e7dd4, 0x3ec24d4d, 0x3eecd75d, 0x5ca2f2b6, 0xfac678d4,
+    0xd8f72ba0, 0x4ddecfbf, 0x5860da7c, 0xfa90d368, 0xc94b5bf7, 0x3ece82d5, 0xdc6323d6, 0xe1e26d86,
+    0x5b78fa16, 0x284e1a3e, 0x33220a10, 0x23b52e9e, 0x379a1632, 0x56b7d13c, 0x4cdffb4f, 0xafe2aebd,
+    0xb4604f03, 0xf98100e1, 0xa7b9bc20, 0x04569475, 0xddd6455a, 0xfb67fe9f, 0x7c496aa0, 0x99bee720,
+    0x6c9df80c, 0xb3e4198b, 0xf3455116, 0xfb1886be, 0x3a1e39b8, 0x358c372b, 0x844690ba, 0x851bbb5f,
+    0x79ec778a, 0x66ed2027, 0x0de21b1b, 0x5ea8d0d6, 0x2897cb02, 0x22dd368c, 0x2e22839b, 0x0ba2ade6,
+    0x4d48db0f, 0x66c5826d, 0x0ade3e50, 0xcf8cea68, 0x9b73299d, 0xb5ed4397, 0x34d6be80, 0x4338a31b,
+    0xb64e1fd9, 0xc464131c, 0xb33332e7, 0xf3802c20, 0xf7dc5b47, 0x2ef8c9cb, 0x1a20b1ee, 0x0d77f22c,
+    0x5b8a0ba6, 0x86615c47, 0x0d8870d7, 0xadd28d58, 0xacdaf8e4, 0x6f81691a, 0x9a5fe3b7, 0x49412718,
+    0x93ca6f14, 0x54a43ea1, 0xfb7a1177, 0xcc033220, 0x4ce1cccb, 0xefeee5dd, 0x05c7ba26, 0x6c91de67,
+    0x37f92779, 0x26039417, 0x456d0185, 0xca706665, 0xcb7d7f96, 0x2c42fd3e, 0x99574aff, 0x20306970,
+    0x41de25c8, 0xff1a34fc, 0x4d6bfaee, 0x41ad5902, 0xdd18604e, 0x533bb329, 0xd81de1e9, 0xae3b3e31,
+    0x3f43c4d9, 0x1e77067d, 0x2c2b89d4, 0x7043ddf5, 0x23f53a86, 0x13082e85, 0x7144d555, 0xd0a8ef0f,
+    0xf0676c57, 0x3a5faef8, 0x8f70eec6, 0x9c2a6cd8, 0xcc127406, 0xb6fdd579, 0x8e1f6d24, 0x2728567d,
+    0xe014c285, 0xb539d6e4, 0xe363f95c, 0xba286952, 0x45b3cc33, 0x6d5396f3, 0x10a04d46, 0x6997dff3,
+    0x74e1040a, 0x7c74d7eb, 0x83f6f70d, 0x59932804, 0xa2eb0fd6, 0xd5f59664, 0x7d9df095, 0x70c1d3c6,
+    0x5a9bf6fd, 0x052c96cd, 0xb600ef61, 0x30bba207, 0x402c2194, 0x2c50f907, 0x6647e82d, 0xd1add3bd,
+    0xccbdf83a, 0x59f34e6d, 0x0acdcb6b, 0x91e44092, 0x5577ca3a, 0x25d833f0, 0x076533d2, 0xf4929646,
+    0x606fe1a9, 0xc51866e3, 0x383eb6fb, 0x1e7ff7d3, 0xc1f0fb4e, 0x9e38878e, 0x8825eb26, 0x8e5ef20a,
+    0x150d23ea, 0x380fe88a, 0xf6a1714e, 0x92a84f68, 0x6a9b6e7c, 0xada328ad, 0x2228b9b2, 0x069cbf8b,
+    0xfac20aaa, 0xf1c3973b, 0xa8600db1, 0xb79d3cba, 0x3b0e0e42, 0xdd83476e, 0xbb33a1c8, 0x3b9613b3,
+    0x033fda76, 0x6d8d966c, 0x0f8e8c42, 0x862e6111, 0x19c7d6c4, 0x3403ee96, 0x2fc069e4, 0xae2d9e79,
+    0x47c29b18, 0x365a90a9, 0xae309bd9, 0x20297b3b, 0x2cbc7ee5, 0x812b064e, 0x55f667d6, 0x1f7c7ec4,
+    0xe118a5b0, 0xb5f55e09, 0x7c36ffc4, 0x78aeea75, 0x40241083, 0x07276bc5, 0xc9ea34dc, 0xb2f79e41,
+    0x573443de, 0xe5d63665, 0xff134db6, 0xd1dfcdbc, 0xa7220f0a, 0x74204ad8, 0xe14bf3f9, 0xf9a2b0b9,
+    0x247c2f7d, 0xd6979c2d, 0x3854d79e, 0x28f4bbc5, 0x3736e5fd, 0xf555b112, 0x497a80bf, 0x43c42c5e,
+    0xbbe8ef62, 0x0efd64ac, 0xf7ae4334, 0x52a4045e, 0xb90b598f, 0x8be4e362, 0x9b92e0f7, 0x3df57db9,
+    0x923fd0ec, 0x950e8598, 0x5390be7f, 0x1dc90d16, 0x3aca809d, 0xb5756f8f, 0xea5aeddc, 0x7ee606f8,
+    0xf4a9feea, 0x08324982, 0xf6ec6300, 0xe021a2a7, 0xbf427d07, 0x90018fac, 0xc48cd66e, 0xcbda29ed,
+    0x788312e3, 0x5e9c2cd4, 0xe3b25dff, 0x1868d509, 0x031f4a0b, 0xede5dd8f, 0x3eb86636, 0x453a4fdc,
+    0x35d4ddd4, 0x9d07e428, 0x030382d1, 0xa5bf3b56, 0x47aaff91, 0xaa2df9e1, 0xac847673, 0xb99a4170,
+    0x3648f027, 0x94126e92, 0x9832e808, 0x413cf21b, 0xd2c8325c, 0x43695010, 0x8190fdf9, 0x514b39c8,
+    0x723591c6, 0x36a73441, 0xc0e37002, 0x7c31fb4e, 0x44f93c8e, 0xb96a8f16, 0xdf2d1ae0, 0x968acd95,
+    0xfacab8cc, 0xd8902a0d, 0x93b3e9b3, 0xa95f3e5f, 0x9ee5425e, 0x5940c2fa, 0x10b8f3dd, 0xb4f66166,
+    0xc1732cca, 0xb3e2ea7f, 0x14129fb5, 0xe24e8cd2, 0xe4e2fd39, 0x53acf8c2, 0xa48ff324, 0xe7dfa49e,
+    0xbf21a06b, 0x4cde0e4a, 0xf95310ce, 0x3c3abc13, 0x6ce4b371, 0x57728493, 0x24fbfd78, 0x159bb2d6,
+    0x21294b54, 0x7b3c03dd, 0x527ce5e2, 0xd67e2dc1, 0xc6c8c66a, 0xfbe7ab62, 0x0bc72004, 0x52414dc5,
+    0x669b4571, 0xf32347d6, 0x0de3a87b, 0x03b4ecc4, 0x567310b2, 0x317d0b65, 0xf8578f02, 0x372fae9c,
+    0xeec28429, 0x0cda6eb5, 0x22a4eebe, 0xcb2053bd, 0x8918c777, 0x81c2f972, 0x5209fce4, 0x4b9585dc,
+    0x37070cc5, 0x5fb51199, 0xf1bd5c2b, 0x8f210bb2, 0x9bae0948, 0xacf68ebc, 0xa78489ef, 0xb9c3e00b,
+    0x055144ae, 0x71bde142, 0xf5b8d3d2, 0x33fad87c, 0xf595d863, 0xa0d54f92, 0x62afb56c, 0xbbe52e0d,
+    0x4518a489, 0x6a87c04a, 0x5b388be2, 0x18dfd489, 0xfba99025, 0x1f6605f6, 0xd3e5bac4, 0xf8bc8087,
+    0x5753bb86, 0x76979051, 0x4727584d, 0xf541494a, 0xed7efca9, 0x37161acf, 0x28a81999, 0x99fb5404,
+    0xdb34cb31, 0xa2a4edc3, 0x622904a9, 0x75192d7f, 0x88f62284, 0x9bfad9c2, 0x81e6e1ab, 0x6a20be4b,
+    0x2d5f945a, 0x062c5275, 0x2f797547, 0x6c5e74f3, 0x79f05cf8, 0x182c83b4, 0xdced2897, 0x40de80d4,
+    0x20db7acc, 0xfda0339b, 0xfcb62297, 0xba8d3d20, 0x817760bb, 0x2f9e3071, 0x8ddfcd66, 0x749a3fbf,
+    0x975089aa, 0x1a9ecde7, 0x4a3dae9e, 0x97674fd9, 0x755b7695, 0x40c33347, 0xe70c2ba8, 0x9cb84bb3,
+    0xaea7f28a, 0x9c0f7f39, 0xc4582a89, 0x94fcded2, 0x26f4b257, 0x7af0d62d, 0x168469ef, 0x8f832d37,
+    0xd3461d78, 0xa5b07aee, 0xf06cd625, 0x8d188276, 0x2988266b, 0x2c68569c, 0x2018a249, 0xf4c55568,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000004835703278458516698824704 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19723, 0xa80db69f,
+    0x00000000,
+    0x9b8f928c, 0x5bb7e2dc, 0xa7f9f914, 0x69704a53, 0x0bd7442a, 0x366ccad4, 0x405c3070, 0x939ee17b,
+    0xa9f9f063, 0x4f38288a, 0x14ac94e1, 0xe8e7670a, 0x60577ed0, 0xea0554c9, 0x8ca38a16, 0x0e419b32,
+    0x154c336d, 0x4d502ded, 0xa47cd80e, 0xd6de9fc4, 0xb3f361d0, 0x038f31cc, 0xc060b1e9, 0x14fe563c,
+    0x7fd2a1d3, 0x2a824029, 0x73dd60ec, 0x2e42ccff, 0x963d71eb, 0xd0cba5e8, 0x45154fe9, 0x4c65a31d,
+    0x6afb60df, 0xb0eda88d, 0x11b4fa8e, 0x7a15d05f, 0x1bc84cc4, 0x38af13f0, 0x8884a6df, 0x8f6a079e,
+    0xca1566f1, 0x71e32976, 0xf689e7ab, 0x6d873ff1, 0xe82fc912, 0xb2995b70, 0x95ee9095, 0x665629de,
+    0x288bc81b, 0x28c4dd21, 0x817658fa, 0xd060e45b, 0x1438f076, 0x024f0691, 0x46d64f99, 0x77fede40,
+    0xd214abaf, 0x94fdd0a7, 0xfee74be9, 0x04ab672f, 0xcceabc2c, 0x28807514, 0x1ebf592e, 0x1b0d43fb,
+    0x11067985, 0xee7b1b39, 0xb550d422, 0xad6ae35c, 0x842644f8, 0x846e8abd, 0xfde24202, 0x62240d90,
+    0x0db9e90b, 0xd00b1f1d, 0x8c1ec823, 0xdaa8d2d3, 0xe4ba39f6, 0xc91c47ac, 0xbc5985a9, 0xbf9485e2,
+    0x233ab2b9, 0x4074e6fd, 0xc84ec0ce, 0xed3cc453, 0x1eb8fc01, 0xee038949, 0xfaeeb3ea, 0x28c725cb,
+    0x8ee625df, 0x702685c2, 0x21313eb9, 0x78a25355, 0x3da03bb1, 0xfb349313, 0x2bfc045f, 0x3755a9d2,
+    0x44b22c30, 0xe8820689, 0x93ee307c, 0x17076061, 0x4d06624f, 0x2d372a78, 0xbe5f2f0b, 0xc08d2f1d,
+    0xce7ea65b, 0xa83973d4, 0x002648df, 0xc781eda1, 0xab7af81f, 0xccf0bb51, 0x0c900364, 0x7925e14d,
+    0x27fec8f7, 0x8d495ca2, 0x7d18606e, 0xb1b60168, 0xdae3725d, 0xf202987c, 0x7fb4a675, 0x26ec688a,
+    0x7375b915, 0xcea7b0b3, 0x2542cfd3, 0x44e5b0f1, 0xd9a4c65a, 0xbe1bde99, 0xcee1d9ec, 0x4107763f,
+    0x7fd46276, 0x8762115e, 0x9e4dd99f, 0x15cf9d75, 0x980ca819, 0x0b536da3, 0x2747b883, 0x541517ae,
+    0x02dd852c, 0x343d5358, 0xe82902a8, 0xb2839a8d, 0xd480e90d, 0x56c8f8b9, 0xe3601de7, 0x8e315de9,
+    0x5de23c7f, 0x4cafa5a7, 0x5c31d2cf, 0x30d9237e, 0x381b71a8, 0x2af22d84, 0x581b8e14, 0xe4401728,
+    0xa07dbe37, 0x0bcc09e5, 0xfe93f727, 0xa55e5d09, 0xfbf74f07, 0xb40e10ae, 0x7a28154c, 0x7643b90b,
+    0x06c7151e, 0xe657ae08, 0x4067db14, 0xf9392d63, 0x24e063bd, 0xac1d17f4, 0xc8d418dc, 0x3438cae1,
+    0x008037d2, 0x2b1ba69f, 0x10d4e4e8, 0xc37098c1, 0x299ec38a, 0x5e15ad6c, 0x2119e491, 0x251f062c,
+    0xe548befe, 0xae65a224, 0x5a9fc7a7, 0xe84971d3, 0xb881c289, 0xc57274a1, 0x47ac24e3, 0x85118f1d,
+    0x88670fdc, 0x2edc7d15, 0x31acea4b, 0xdad529ea, 0x62bd723d, 0x80077732, 0x8a9797f1, 0xb8fd6995,
+    0x387af864, 0x693d80e1, 0xdd150a0c, 0x61e58cde, 0x21b6408a, 0x5e6229e9, 0xf0c24846, 0xed7c47b8,
+    0x40d312b6, 0xa49d06ba, 0xfdf0a2f6, 0xe2819f17, 0x6681a231, 0xaceaac97, 0x9ee3a285, 0xcde5986d,
+    0xe24888f4, 0xd37afd62, 0xa7d36536, 0xbef85813, 0x077c6753, 0xb0c0ab87, 0xbcf361f3, 0x776d8013,
+    0x01961438, 0x2dd9b6e2, 0x419fc75b, 0xbeb20a4f, 0xd22b7535, 0x205fb75e, 0xaebc4933, 0xc89764ba,
+    0x77cac517, 0xe0da300f, 0x753739c8, 0xf35de5be, 0x2512b079, 0x2ddbb885, 0xf8d9a06d, 0x684d337a,
+    0x19829120, 0xfb51a83b, 0x2eb3da31, 0x37662c2f, 0x218f24f5, 0xb8161920, 0x32485b13, 0x919baa1c,
+    0x04e5a1e0, 0x310b28e8, 0x45f1377e, 0xd40e81ea, 0x514e082d, 0x78e47d54, 0xf667212d, 0xfb00de35,
+    0x4fce0336, 0x7a448795, 0x200910db, 0x0e32b457, 0xb9bc017f, 0x4ee9e21b, 0x0736d7a3, 0x545847b1,
+    0xb3cbc02e, 0x33f5ee13, 0xa5f5ca8c, 0x7bcf403d, 0xb34bc976, 0x40b8403b, 0x59642737, 0xf757408c,
+    0x3c7b89ed, 0xe8d040e9, 0x596b492a, 0xf956949d, 0xc70f7b1b, 0x5ce4cc77, 0x08b5959a, 0x35e57512,
+    0xb1d5354b, 0x8da636e2, 0xace4441b, 0xb1432584, 0x54eb691d, 0x309d0349, 0x586135c7, 0xe975e1d5,
+    0x309cf8aa, 0x636fc0b1, 0x2bb179fa, 0xad5cc8eb, 0x070aa231, 0xbd83c537, 0x86739adf, 0xfff171ca,
+    0xb18ed502, 0x8591ab5e, 0xea08d1b0, 0x8702325b, 0xa370ef43, 0xc8e7dc37, 0xcf16c87f, 0x37da7c63,
+    0xef228808, 0x3c37a0b8, 0xbc59818a, 0x3e79fcbd, 0xed825f6a, 0x26f51683, 0x4bf47252, 0x57a1815b,
+    0x796102f4, 0xdd229512, 0x832b0faf, 0xb7f60a89, 0x2f47c911, 0x0ca6cbd7, 0x833e3485, 0x7e53c6b8,
+    0xb97895ea, 0xd1d4b5f4, 0xd198451c, 0x1637e512, 0xa4332b79, 0xb0f20134, 0xaa32cec2, 0x4f069dc5,
+    0x900cfbc5, 0x373b65fd, 0xe4a76dc7, 0x249315fe, 0x930ac62c, 0xdb2d9d16, 0x670e4235, 0xea0f45e4,
+    0xd93921c0, 0x5f9e278b, 0xbb681c71, 0x34e8ed63, 0xfa1e5129, 0x9ab74132, 0x57546efc, 0xe496f6c8,
+    0xaeadfdae, 0x9c19470d, 0x31da4561, 0x4ab136db, 0x28564e81, 0xaf841122, 0xd8d2cc00, 0xb79667c4,
+    0x510f9d0e, 0xbf45f41f, 0xff7e74fc, 0x79448fa7, 0x2d99d4e8, 0x940409a2, 0x051d18ab, 0x83bf3a50,
+    0x18e7d9b1, 0x407f2aec, 0x339c3ec7, 0xec1a48a9, 0x438ef7f3, 0xc24ba93a, 0xb4092430, 0x6618ae32,
+    0x5f1a5a75, 0x9defb87c, 0xebdf2253, 0x950f0542, 0x6484943e, 0xb5430949, 0x187d18b9, 0x8680f615,
+    0x98b77878, 0xad4238f0, 0xe7c5696b, 0xa6a839e3, 0xb4719a74, 0x6032c9ff, 0xf3a9e5e4, 0xcc147d20,
+    0x6d30c513, 0x2889d507, 0x1b72475a, 0x378ad378, 0xb3c820e8, 0x06fcc927, 0x210be82d, 0xc1d94ee0,
+    0xb8a0d80b, 0x626549c4, 0xcd457d6d, 0x9214dd7f, 0xb71b7410, 0x3ccd8de2, 0x9d33b4a6, 0x4f25ef07,
+    0xea8791f9, 0x61a701a0, 0xacc265d8, 0x587cfd76, 0x14299046, 0x102ddd26, 0x55801d69, 0x94b9dc8e,
+    0x0d080be3, 0x4efe9596, 0x69480c5c, 0x47b76968, 0xbf17a256, 0x664ff425, 0x7eaf0e2b, 0x5ba6f249,
+    0x8cd7c467, 0x14c99116, 0xc9db3710, 0x63cc91c2, 0x8dd425e7, 0x90de83a1, 0xc2e476ef, 0xe65537e2,
+    0xbfb62b3d, 0x28073120, 0xef781b99, 0x6707fa87, 0x58e92f6b, 0xddbfc416, 0x1993504f, 0x2af02566,
+    0x5db95e07, 0xd825a906, 0xf687b11d, 0xffba1844, 0xab1329e9, 0xf54fbfa5, 0x1aa67eb0, 0x54dad6bc,
+    0x7a1a025d, 0xd9e23539, 0xf8b01076, 0xb4984427, 0x0841f8fc, 0x4d2959b9, 0x8dce7abb, 0x48f37069,
+    0x53bcf8f4, 0x95c7da6d, 0xbd1d59d3, 0xf2a6fbf6, 0xf7fdf2b2, 0x5f50557f, 0x303f4b0f, 0xc2291ebb,
+    0xfccf2561, 0x8bddab65, 0x436d95d7, 0x30022a5b, 0x108b0589, 0x07b61361, 0x437f4574, 0x886e76e6,
+    0xaca7e07d, 0xdcfe5d44, 0xe5788a49, 0xd3227782, 0xbf512c22, 0xcb4717ae, 0x9e4f0b29, 0xef5b480a,
+    0xb574d03b, 0xe1522198, 0xd9b2d67a, 0xe91add8e, 0xe45d8792, 0x574d6663, 0x0fecdfe7, 0xb964f301,
+    0x2841be30, 0xe6ed02e9, 0xd99c537e, 0x9886851c, 0x05eacd63, 0xb323ebc8, 0x444cf969, 0x1d903e29,
+    0x61c42b49, 0xa9e3aa10, 0x1ab510ea, 0x52955c95, 0x3979d852, 0x46de035b, 0x7eb1e0e7, 0x65a7d2c6,
+    0x4cc0d209, 0xabcbd551, 0xb1fd58af, 0xee39b031, 0xfcb1712a, 0xa50a3956, 0xbad2daf2, 0xa87dc067,
+    0xe1a70ae4, 0xe9e573f0, 0x52ddeeba, 0xbd700498, 0xdc75ccc9, 0x6456604b, 0xf70133dc, 0xfd3aa3eb,
+    0x13518fa9, 0x294b4c0c, 0xcde8809c, 0xe6934866, 0xb2f674f6, 0xb16185c9, 0xa523089c, 0x3f3be85d,
+    0x818b7104, 0xea8bfd79, 0x85c49762, 0x48cea1ab, 0x475a817b, 0xdeb9aac0, 0x1e3ef158, 0x38727c64,
+    0xe03724d9, 0xa355ca7b, 0x414992f9, 0xf7cfde5b, 0x4c2c0fd9, 0x8a63554b, 0x89abf7d7, 0x3ffcf705,
+    0x62842726, 0x3100484e, 0x903b5c39, 0x8ee3f65e, 0x7adfedfa, 0xf187b3e4, 0x09e6aded, 0xaaa69ffa,
+    0x6a8901ef, 0x09540114, 0x7bb32d14, 0xf27b00d5, 0x668cda8b, 0xa296c9a8, 0x69eacd1b, 0x1c7ed152,
+    0xdabddfb4, 0x6a4324b0, 0xd6ed5b1f, 0x2cbbf13c, 0x7409dfcc, 0x026dddfe, 0x81607dad, 0xc9934e2c,
+    0xac567765, 0x25de6e21, 0x284c739a, 0xed1c52fe, 0xf8d76af8, 0x499092cd, 0xc817e918, 0x465df3b8,
+    0x32159b55, 0xd6c71396, 0xed56426f, 0x8167cfdd, 0x59e780f7, 0x18c3ab42, 0x49c7e242, 0x71030445,
+    0x482ef96b, 0x9e1eb46e, 0xbb345569, 0x07bc3d27, 0x6a4f22e5, 0x69930b80, 0xb447a872, 0x1e15d8de,
+    0x4d9eadd9, 0x74fa52b0, 0x5d15f522, 0x425c29b9, 0xf42393c7, 0xd5f38311, 0x55aa2734, 0xbed39ac8,
+    0xc73a1c9a, 0x824a8831, 0x30830945, 0xd8a45f66, 0x1fe8a13f, 0xd7548b75, 0x1bfc4bb8, 0x1b1f3f54,
+    0x3a1ffe39, 0x93471139, 0x9e3af8fe, 0xec61214f, 0xc8e9c654, 0x3876acdb, 0xb60f88c7, 0x1bcd4799,
+    0x7616eda1, 0x0e472bef, 0x87e29be8, 0xa3de2998, 0x01a8e336, 0x51fa08e4, 0x34e764ca, 0x3d3182d1,
+    0xdcb13186, 0x7202f179, 0x8c009f3a, 0x5c97fdd9, 0x5e837451, 0x694cbd3d, 0x31c951b9, 0x052ae12b,
+    0x99966f6d, 0x7e49700f, 0x70c23a6f, 0xdc88ca65, 0x8cea685d, 0xf58eb03e, 0xf76a287f, 0x9c64e717,
+    0x6dbe410e, 0xcacb5800, 0x37ab881a, 0xc905deaf, 0x18ebb1d6, 0x5bae9251, 0x5fef9ae4, 0xdfa43b0a,
+    0xa9607abe, 0x8f7a9a1e, 0x447217dc, 0x01724036, 0xc35d5997, 0x545198a6, 0x0f44956b, 0x698f116e,
+    0x0742a8f7, 0xe726fc66, 0xfd38b50d, 0x1ec33ac5, 0x2ac75494, 0xb0cab876, 0x4d25e50f, 0x52d9d85c,
+    0x914e5716, 0x51b6eef7, 0x351c4ce9, 0x5a92d89f, 0xb42c554b, 0xc88c6850, 0x29006b8b, 0xa881f996,
+    0xad643a3e, 0x8405b3b6, 0x4c778b95, 0x45b5e67a, 0xecde6476, 0x741163ac, 0x6044342a, 0x08b84127,
+    0x6ba638c0, 0x3a43c8d7, 0x95f36521, 0x360878aa, 0x120fcb63, 0x6c297a4f, 0xec40fbe3, 0xfba9f48f,
+    0xfeeddf5f, 0x50bd4a1a, 0xac2b8bbc, 0x4b60ff52, 0x911f3875, 0xf8b1d255, 0x35620c0c, 0x21aa6575,
+    0x7798ce4d, 0x1d201808, 0xf8385ccb, 0xde90ee2a, 0x56730785, 0xc27bf48d, 0x1275557d, 0xb7dd26c4,
+    0x41fa434d, 0x1a9f0d6a, 0x381d8026, 0x1e8338e5, 0x66dc4d92, 0xf5f76cc1, 0x87dc5e37, 0xc2a94998,
+    0xb8c72c8a, 0xa1e0f9d6, 0x2192de33, 0xf17671f3, 0xac7b99d3, 0x817a75d8, 0x7d451f3a, 0xa714ff6f,
+    0xd73a5c4e, 0xe32b43d9, 0x53924270, 0x15c743b5, 0x3af65f4f, 0xaa3e36a5, 0x9425f26c, 0x4c1d957f,
+    0x92c5d38b, 0x0b51bb5d, 0xa7c0f817, 0x69f0fb5c, 0x939896a4, 0xfa952924, 0x5a49762e, 0x8488e151,
+    0x01ffacda, 0xea1d8755, 0x2e6e713c, 0xefb50322, 0xf7623384, 0x1e24263f, 0x926071c2, 0xd0affbb7,
+    0x5f58c27b, 0xd8246d52, 0x30d856cf, 0x0b50dbd9, 0x4d7a6e9f, 0x503df694, 0xf083e95b, 0x2474c76a,
+    0xa9b95964, 0x20aec466, 0xad113db2, 0x5924f314, 0xdf75b304, 0x866a75ad, 0xe79fe860, 0xc58329ec,
+    0x9e8e6a6d, 0x28849849, 0xb83c3a3e, 0x3148e5ab, 0x694eaea1, 0x3013b323, 0x558d5adc, 0x15c73487,
+    0x77cf1a60, 0x17e19506, 0xc973539a, 0x7461381e, 0xa8ee97e8, 0xb06632e8, 0x7a6004db, 0x89cd3cda,
+    0x6fbb52c1, 0xadde3808, 0xc3b29295, 0x6d845578, 0x76559480, 0x4cb0ded8, 0x15ff5f96, 0x65746df1,
+    0x30b65671, 0x741b7287, 0xe0cee694, 0x5ceb9524, 0x9fd17b62, 0x08503d58, 0xec9e9bf1, 0x2b01ee6e,
+    0x384e9ca8, 0xb2fc6793, 0x3a46f34b, 0x20756507, 0x12222271, 0x7d8d4d62, 0x56efd71d, 0x1b00df5d,
+    0xea6e87c3, 0x842cc4a7, 0x2dce903e, 0x4b01dbc2, 0x2169b6e1, 0x38a62204, 0x45399bd3, 0x08aa9f57,
+    0x9e7f6ab8, 0x9f8abadd, 0x24d0fb10, 0xe9cdc8ea, 0x88265ff6, 0x1c24d912, 0x10f8bfb8, 0x6dd89085,
+    0xb3d7b2f8, 0xfdc82043, 0xa5690f78, 0x4772bc03, 0xc60d00c9, 0x8475f238, 0xa65bfe7b, 0xf73f0b61,
+    0x713e1978, 0x78a1c2df, 0x4e05cfc4, 0x59762f53, 0x98529729, 0xde769af3, 0x80adcec1, 0x37bd45ca,
+    0xb7dd6201, 0xbdec93a9, 0xd5bf4999, 0x9e244987, 0xb3e55197, 0xb9b84b1d, 0x40b8d08d, 0x9b610e8a,
+    0x00de3fe6, 0xb2f5cf0d, 0xaeb235fc, 0xbc0c15cb, 0xffc9a051, 0x8e13b121, 0xead18a99, 0xa22c59a9,
+    0x2b6cacfd, 0x0acb1b37, 0xfa671cc8, 0xc7570551, 0xeedcc222, 0x855a7883, 0x49aebdb9, 0x3e9e71da,
+    0xacb62d06, 0x30f489d6, 0xc983278f, 0xefe4d887, 0x61c69e73, 0xdaca4fa6, 0x5eb6dc5b, 0xd0fb285f,
+    0x435e9567, 0x8583ffbf, 0xaa8eb21b, 0x7435c31c, 0xb066e784, 0x8119a74e, 0x295d8e54, 0x0b9c06bb,
+    0xea5a91d8, 0xf8019d65, 0x6658ae09, 0x37d20d87, 0xa76a0b6c, 0x2b7e50d0, 0x8f597a07, 0x1297b723,
+    0xf5441d31, 0xaa4efd30, 0x24226a39, 0x4349694b, 0x2e4988d4, 0x6492b342, 0xc04340ac, 0xab82825c,
+    0x30582fee, 0xb224b59d, 0x6a2ca781, 0x5d6e00be, 0xb0a6d7bb, 0x42375bf7, 0xfd5d197d, 0xe7dfdab0,
+    0xc186f7c8, 0x570d07ee, 0x2b335930, 0xe32909eb, 0x963e4041, 0x31cc6ee2, 0x1ac1420e, 0x8b69bc2d,
+    0x717bbc44, 0xcff762f6, 0x1826919e, 0xe5273e69, 0x438cce4d, 0x2e15be57, 0xc1f2c0f3, 0xad78ae37,
+    0x6d17af65, 0x2f04ddcc, 0xc14e4574, 0xc5a49212, 0xa87b004a, 0xa45cb006, 0xfc19de37, 0xa3991658,
+    0xc6f1865a, 0xee882d77, 0xae66d3ee, 0x473440dd, 0xaeac7751, 0x08d325c5, 0x4a24610b, 0xb417fc6b,
+    0x533a1246, 0x7a18fde5, 0xb37479dc, 0xa3b5672f, 0x628681d3, 0xc71cbcd2, 0x5d966cb1, 0x741ad150,
+    0x682c7362, 0x953ce7e8, 0x5c1c57e3, 0xfd485da8, 0x2260726f, 0xa3ac9704, 0xda79308a, 0x71dc18a6,
+    0x2601de09, 0x11a37504, 0x537c0ba4, 0x5ca66789, 0x58ba6b8d, 0x3fd3fa66, 0xbb477e3b, 0xd6010382,
+    0x257ee9bb, 0x95b72b64, 0x413146c0, 0xc8dc2090, 0x05c29a10, 0x38e07216, 0x6d9f2422, 0x8644ee18,
+    0x5ec4137d, 0xeba20416, 0xa46e6d4c, 0x7db68597, 0x0caa30a8, 0x2fe2b771, 0x9a68c217, 0x120a0ee7,
+    0x64623a4e, 0x7c91c410, 0x3e4fa824, 0x57d37481, 0xb28f7e66, 0xd15dc47e, 0xc766c7eb, 0xaeb16b50,
+    0x094d4311, 0x15451e8c, 0xd7fb0ac3, 0x3d288731, 0x421a50da, 0xe1232021, 0x855a1208, 0x5110686b,
+    0x5ed0bf2e, 0xb35f004b, 0xebafc852, 0x2d8d2004, 0x5249ce72, 0x2c26dbe1, 0x1692ffd1, 0x5d7d9a63,
+    0x1df8e8f8, 0x1dae509f, 0xb30c9ca2, 0x8127ce8a, 0xa2e0209a, 0x7dfce19d, 0xabf1d585, 0xc3159d5a,
+    0x5930d6ab, 0x9bc66e10, 0x7335d842, 0x358e15c0, 0xa43506fa, 0x00c3d930, 0xf07eacb9, 0x95da1ff0,
+    0xa724c4bc, 0xe83e6a7a, 0x72b9df12, 0xc8ea3081, 0x6ff029b6, 0x0dffd693, 0xb2d4581f, 0xfad5a8f2,
+    0x97326fd7, 0x7215ab6e, 0x3cb5c999, 0xcffe5c13, 0xd7682da8, 0x0c3b81f1, 0x2f6e3003, 0x1cc75074,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000002417851639229258349412352 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb91, 0xd406db4f,
+    0x00000000,
+    0x8d1befdd, 0x3c520cfb, 0xa07d90d7, 0xe758e031, 0xe8890db1, 0x2cd68b21, 0x0981a18a, 0x74ed9102,
+    0xa4870a79, 0xdac1437e, 0xa66db930, 0xcf0a702c, 0xa93e4479, 0x006b9665, 0x11a21c70, 0xea75d1c4,
+    0x7d903179, 0x18cf73f3, 0xf7884e80, 0xb0c123a8, 0xe55c6b37, 0x5e79c909, 0x77de2d29, 0xe648aa82,
+    0x21ee0671, 0xa0a2e8ee, 0x277293a1, 0x51439528, 0x9b6cedea, 0x961c8330, 0xc8a30754, 0x25125c4f,
+    0xeee73d34, 0x16084a50, 0x48ab75b7, 0xfa836553, 0x38c1dcd9, 0xda7648c9, 0x37fb8b13, 0x7395141c,
+    0x668e4394, 0x474ec779, 0xee7fa1fc, 0xee561e30, 0xd405cc13, 0xc3209c86, 0x05aa6479, 0x357a8ba5,
+    0x9ef5c625, 0x316f8445, 0xd7c9c0f7, 0x22531456, 0x9108e9fd, 0xcf554948, 0xec4b233e, 0x4b4bb4b7,
+    0xdbc2b93f, 0x344f1c50, 0x5cd823db, 0x4051774e, 0xc6220590, 0x8fab4981, 0x0275d16c, 0xbcfab720,
+    0xc6b2e6b5, 0xec8e98b4, 0x0ad614c2, 0x5131bba2, 0x1e7d10f2, 0x76f8bc18, 0xa8f65ae3, 0x85925950,
+    0xf4644098, 0xbcf33ed4, 0x84111090, 0x2d2bf9af, 0xc7137548, 0x65b6bb7c, 0x2fa0943d, 0x86481ecc,
+    0xf991d19a, 0x0848e241, 0x709858b2, 0xb87d6a67, 0x26a2a482, 0xd36e6807, 0xe3db8eb0, 0xd4534bc2,
+    0x4c702070, 0x8b3849bf, 0xc13ca4ca, 0xb3b72793, 0x18046738, 0x02f035ee, 0x14b93085, 0xd1473ec9,
+    0x7d4febfc, 0xaadc430c, 0x19db1d54, 0x33f40fc8, 0xc61046ed, 0x4a3e8a7d, 0xd6d92216, 0x2f4ba513,
+    0x02230aac, 0x22804a64, 0xd5f457b7, 0x002e1751, 0xc278dcc3, 0x5bd1412d, 0x927f55b2, 0x6a936e19,
+    0x648fe123, 0x6e4d6a73, 0x1bbf185b, 0xb4449d75, 0xc4f7b2c7, 0xe6468ae0, 0x7163ece9, 0x1b56eddb,
+    0x03d9ae2f, 0xc5b407e2, 0x7d49b8ae, 0x4ce53770, 0xba66f65c, 0x48492813, 0xa7f5d215, 0x8d99a7b1,
+    0x7fd36300, 0x6c07d4c2, 0x3643d79c, 0x4653d1af, 0x995ca507, 0x6912c82a, 0x8f4df691, 0x5f78173e,
+    0x7e9a09c3, 0x449bbdeb, 0x1a584925, 0x942078a6, 0xfb84af11, 0xcce9ac0f, 0x6e0e184e, 0x3908cfe7,
+    0xc612a4dc, 0xadc4a37b, 0xaaa0be77, 0x20a607f6, 0xd8b87496, 0x0ab37d96, 0x696ce75a, 0x3c19eddb,
+    0x2af63dc0, 0x0d558480, 0x36b82ed5, 0x7c761c8e, 0xe620452f, 0x9b158de4, 0x23610dd3, 0x2d19a117,
+    0x3bbf9902, 0x9b951fa6, 0x0362d5b7, 0xb519c72f, 0x4d03a59c, 0xb93d4e39, 0xab632228, 0x4c1ea522,
+    0x8e0a3e72, 0x8652e631, 0x47920ae8, 0x9ebda4dc, 0xbfe9d16e, 0xbd237edf, 0xe3038717, 0x672e29dc,
+    0x139ed540, 0xdba9fdbe, 0x4fc0fe48, 0x34fce221, 0x37d47e69, 0x4c2fc2c3, 0x320c7dce, 0xd96c9136,
+    0xbe4af22b, 0xc55362af, 0x1edb6c8c, 0x356baf4c, 0x81cdd9fa, 0xada15439, 0x62b7b768, 0x7a80a8d9,
+    0x8eb0ca86, 0xc40dfff3, 0xe71d448a, 0xfb76a80a, 0x785b015b, 0xc6950357, 0x161a16dc, 0x186208d4,
+    0x9e612330, 0xbd2371b6, 0xda9c6b88, 0xa3b64f6b, 0x62afda27, 0x85e595ed, 0x681d0d88, 0x3c61aeb5,
+    0xd2dbc2e0, 0x4a998914, 0xe552643c, 0xdd7f611f, 0xc6fd26ee, 0x23a2166b, 0xa966940f, 0xfe77359c,
+    0x64713909, 0xad3429cc, 0xa5cd084a, 0xae623550, 0xc82abded, 0x8947469f, 0x28d09edb, 0xcb2a618a,
+    0xf92c234a, 0xab58de79, 0x24ee2a18, 0xf363d65b, 0x09e20113, 0xc2706ee2, 0x25301c6d, 0xb1450046,
+    0x4dac9bca, 0x0b02ffbb, 0x437cd2ff, 0xe04dc128, 0x13ee030c, 0xcececef9, 0xf9e76534, 0x85e5bf79,
+    0x8a8133f8, 0x5c410220, 0xe092e0da, 0x26a3c0bb, 0xc3736090, 0xb8b6bfc6, 0xd025ed4d, 0x88ccbfd7,
+    0xf19edfa6, 0x71d40934, 0x98df6193, 0xd9c50a30, 0xe7072294, 0xd26069ca, 0xfab8e2b4, 0xb529e813,
+    0x14df39b4, 0x24d949d5, 0x5f4f5054, 0xddd9cd90, 0x68f70c29, 0x7b11a93a, 0x250eae77, 0x734a2c8c,
+    0x99209619, 0x962b9dc8, 0x3f8fa870, 0x9532c235, 0x0cc90f5d, 0x3c18bf59, 0x5d2af5ec, 0x69635cf0,
+    0x25fa4ae4, 0xcc254196, 0x5ec1ed53, 0x3faa473e, 0x4a7aa7ba, 0x67506bb1, 0x208a9c8d, 0xadc82280,
+    0x2707dbfb, 0x20a964f2, 0x14db54b6, 0x3e00ddb8, 0x61cc6a33, 0x106079ea, 0x30ad548c, 0x657e0ade,
+    0x7387a9af, 0xe698d8bf, 0x40245d54, 0x4fd8d127, 0x7c91e2b3, 0xab267262, 0x0d7d26dd, 0xa78c228a,
+    0x23b0d9ad, 0xa8008ab3, 0x818ef680, 0x4f3cded7, 0x4d8b41cd, 0xdea55cbf, 0xca1dae9b, 0xc6cfae5f,
+    0x1b4f250f, 0x4b45a339, 0x1a20340f, 0x31fb203a, 0xd958256a, 0x6c89eab0, 0x62008124, 0x4cfdfbdc,
+    0xd0f71c32, 0xdca2f11f, 0xbc11bcd5, 0xb31641ce, 0xd7223ce0, 0x0f0c91b7, 0x5dd1c0c8, 0xc79c07b9,
+    0xe71af026, 0xc20e87f4, 0x617611ad, 0x53b3a1e9, 0xa9638ff3, 0x73320e75, 0x2e5ead7c, 0x2ad1aa05,
+    0x97b86796, 0x2fa9d219, 0x56705575, 0x2b462086, 0x1dacc1ce, 0x4faf1352, 0x78e5c534, 0x2da5987b,
+    0x3460bbbd, 0x0bd889a7, 0xde4cfc4f, 0xecbfad41, 0x6348fcd3, 0x10382f8e, 0xdd9b6015, 0xb7bcf965,
+    0x084df246, 0x0931dbcd, 0x9037e4d4, 0x17bf909f, 0xbd4bbfd4, 0xd8593d75, 0x1f92b3f3, 0x25571cae,
+    0xe4a13d4b, 0x2db9f591, 0x7ab60b55, 0x49af17b5, 0xf6a61e3a, 0xc9e516a0, 0x5cf5e1de, 0x29ce2d75,
+    0xf8d13ca5, 0x28e51eb6, 0x4c793195, 0xcf65215d, 0x333720bc, 0x42b89254, 0x6802e32b, 0x004cb1ac,
+    0x5c1402eb, 0xe438c586, 0x03e1176f, 0x5ccbf755, 0x70eb1642, 0x51ca7f68, 0xcab0d4c3, 0xaba05813,
+    0x90712c27, 0x66271bac, 0x20275842, 0x3f56a058, 0x2b25d4fa, 0xe5a1d092, 0x37e30ff5, 0x58a5b215,
+    0x8be35e3c, 0x2841f6bd, 0x123f425e, 0x46aedf2d, 0xc3ce040a, 0x8f133f00, 0xb554db5f, 0x06dd1490,
+    0x2f93d687, 0xd1c7c00b, 0xea9c9d87, 0x9de748d6, 0xe18c55ff, 0xff5c6259, 0x245a7deb, 0xd9629582,
+    0x01d002f2, 0xd8efa722, 0x00b7c453, 0xf4f0cb0f, 0x757747e8, 0xb846972f, 0x791b67d1, 0x807daa75,
+    0xbac5b623, 0x244b90f5, 0x23f61380, 0x6ccedca2, 0x3b743306, 0x66ae74b0, 0x7c5bdabc, 0x2730de7e,
+    0xcd3dd019, 0x0bca3347, 0x3a167e69, 0x1fbed01a, 0xbb42244c, 0xb504275c, 0x600ab322, 0xa3c6f433,
+    0x12c7e0c8, 0x354b1979, 0xa075988b, 0x2cd44025, 0x0b9c110e, 0xf552ed54, 0x273d7db8, 0xd20d0b8b,
+    0x4a55bc59, 0x824971d8, 0x05d3d5a4, 0xe6ec6f51, 0x9ed17d0d, 0x494825ea, 0xe53ce39d, 0x442cf8f6,
+    0xbd9b73bf, 0xb2656836, 0xa546397a, 0x37f7b58c, 0xbf2563f5, 0xc4464387, 0x10d60eb7, 0xdef373dd,
+    0xcb9df0e6, 0xe06af8df, 0x23c78360, 0x1ea3e88a, 0xd5d6865a, 0xdb1db87a, 0x434df24f, 0xecf7bfea,
+    0xa84a55eb, 0x0f2cd9d5, 0xc6c163d9, 0xc50b042c, 0x5f7d1308, 0xf2227659, 0xd118943c, 0x9cb3eb68,
+    0x1586878e, 0x74722c60, 0x47ed1a7c, 0x069292c2, 0xfd8e7582, 0xc23bae8d, 0xba83a6be, 0xa12f6853,
+    0x0263b9a4, 0xeed4da7c, 0xabbdc834, 0xfff084f6, 0xe7f56814, 0x6f976516, 0x8bc56a46, 0x672911aa,
+    0xd485b51a, 0x37e883ae, 0x82e1cc6a, 0x46557d64, 0x27f9f7c9, 0x39166668, 0x9e4015af, 0x5355e9c2,
+    0x6c169d25, 0x62d4b092, 0xd2d77cde, 0x7c3a62ba, 0x0bd41c96, 0x91b1eeaa, 0x6f15ef42, 0x5f48834d,
+    0xce9c81d4, 0x97ee9d50, 0x68784383, 0xb6bfdc5c, 0x5e9fc9e1, 0x2c9ebecd, 0xcac2576b, 0x35dff85d,
+    0xf572f6aa, 0x956a139b, 0xa1142a36, 0xcf70997f, 0x8128599e, 0xbf0fcd0f, 0xff8a9a15, 0x7b4ee7d6,
+    0x8beb38b7, 0x956b2cfa, 0xb1528340, 0xd220c45b, 0x14704143, 0xecca655a, 0x0e3ffc90, 0xada0a784,
+    0xc91bf9fc, 0xaaca48d2, 0x2269b4ab, 0xe4edad2a, 0x9cb3f3ac, 0x5b0e738e, 0xa4414383, 0x06a31fd1,
+    0xeee63a64, 0x2656a455, 0x922372ed, 0xd50be8b0, 0x95db44af, 0xe2f005a9, 0x17d82fa9, 0xf740de4a,
+    0x60f226c8, 0x505dae71, 0xb2295ed9, 0xc71a1438, 0xd8f5b131, 0x13f350a9, 0xcbbc3e10, 0xd3ceb8f3,
+    0x54d92a02, 0xce126b98, 0x6673bec3, 0x12452ced, 0x0737563b, 0x5479a1e8, 0x29a93595, 0x07d43bb2,
+    0xdd310fcd, 0x15682743, 0x968edf39, 0x8c284a18, 0x0cc7d16f, 0xa6d11c19, 0x5222a915, 0x8e8ef61e,
+    0xaf872505, 0xaf33eafc, 0xbc0f3f57, 0x2270b50e, 0x13eb6f6a, 0x41786355, 0x330df621, 0x8afeb7dc,
+    0x69d6d5ac, 0x57252870, 0xfe3ec9f1, 0x6f345606, 0x82628495, 0x486f32e6, 0xf06e4e1c, 0x4eadd97e,
+    0x789266f2, 0xbc9d3fcd, 0xe7b38e53, 0x583a32d4, 0x1086e761, 0x975d1d16, 0x27991165, 0x06ba44a3,
+    0xa9a3cd97, 0x449c84ea, 0x468c19c7, 0x521c53a7, 0x57c33808, 0x3a114da5, 0x9963a3df, 0x802b85d5,
+    0x10ac6cf7, 0xbeed57e3, 0xcee42a83, 0xf56da144, 0x18443cba, 0xf86b77e1, 0x2a51560d, 0xc2f3e16c,
+    0xd35a479d, 0x436d3bc3, 0xf7e54ded, 0xc439c518, 0x035201f6, 0x9686b24c, 0x45f77f0d, 0x9863649f,
+    0x92552f87, 0x75d43e08, 0x0f561036, 0x14ba112f, 0x090c23b1, 0xe465c7e4, 0x6a2c6df7, 0x36430069,
+    0x0bcd6c08, 0x7663e3a6, 0xe2501252, 0x6aac7f76, 0x59a9cdb5, 0x8cb6f082, 0x4ae8ea80, 0x9773fb06,
+    0x3cbdc0cb, 0xc2870e6a, 0x6118073f, 0x8c36f662, 0x6f30ec72, 0xcdc92a3b, 0x27f227c6, 0xffa63ac5,
+    0x56ce4262, 0xe048626f, 0xa17b1fc5, 0x132737cd, 0x46b49ca3, 0xee30f11d, 0xa4cf970f, 0x66ea9671,
+    0x03abf94b, 0x817b4bf8, 0xb6320735, 0x5d4e6ae3, 0xd29650fe, 0x52f83974, 0x1afea006, 0xf6d9b7c7,
+    0x3d901a70, 0x58c68d9a, 0xe642cefb, 0xe5d07af3, 0x103660de, 0xce4a8623, 0x145e40bb, 0x6a886942,
+    0xf34213dd, 0xa98f0d1e, 0x45a90a71, 0xbdcb9026, 0x104e37c4, 0xcac40ca1, 0x13bbb9fa, 0xd1350816,
+    0xcf92527d, 0xadfa3cf3, 0xd39d6b95, 0x01919cba, 0x30a84ac6, 0x94d8472e, 0xd2326b6e, 0x09628b04,
+    0xb8de9179, 0x65d482e5, 0xb4ae47d2, 0x86d1356f, 0xb2ea147c, 0x8d4e5f20, 0xb18ba41d, 0xf9aa819b,
+    0x96dc70c8, 0x8b7b0d8a, 0x6a624b99, 0x35e1f99e, 0x34c351ef, 0xadb7fd6c, 0xfbb2ef20, 0x4725d47f,
+    0x3420df86, 0x3d62fa0b, 0x74b6066d, 0x485e8755, 0xd39e4e48, 0x1b242a3d, 0xa92a85c9, 0x8a249ec0,
+    0x246d398f, 0x6f8424a0, 0x65946d0e, 0x86eb24d4, 0xa1444fec, 0x201d14cc, 0x33c75f39, 0x4c23403c,
+    0xb8102e26, 0xf9cd0ffc, 0x34f33853, 0x3c1dd4ba, 0xe5200d76, 0xf0786693, 0x856da4d0, 0x26fa9479,
+    0xad4471d6, 0x03598ea3, 0x8b1add3c, 0xa94618ec, 0xdc7ca8dd, 0x3ac92d3e, 0xe48268f0, 0x5880868d,
+    0x29a555a4, 0x00e5e75f, 0x871f0bf6, 0xb848676e, 0x3b752ef5, 0x49054bda, 0x3be4eb6d, 0x198d2a71,
+    0x4b879347, 0xce2778d9, 0x9cdb9601, 0xc8d753d4, 0x40fd1fad, 0x3ce85d6d, 0x4a6bebe3, 0x2d00b7b5,
+    0x827fdf6c, 0xa3b0008e, 0x21394bb7, 0x20e9cb47, 0x866ed683, 0x69e68788, 0x3ce33b41, 0x28cec105,
+    0x0587c187, 0x4d025468, 0xa7ddd5d1, 0xbcd8b467, 0x2920c76c, 0x470eddca, 0x7598bd23, 0x40e84890,
+    0x72e2bd0d, 0xd029d5fd, 0xe3c4832e, 0x5dba1b71, 0x7fe019c3, 0xc493fc47, 0xc6102913, 0xa4fb7f28,
+    0xc64b014d, 0x10acf4cf, 0x18887d00, 0xd7c88f35, 0x0e604e46, 0x70b0f6fb, 0xbe0d0bf4, 0xa77f659a,
+    0x1de39315, 0xe35289c9, 0x8aaa08c6, 0x8cf7a20f, 0xa7675b89, 0xe544701e, 0xe5f700c7, 0x98867e54,
+    0xf3510385, 0x904dfb9c, 0x59704163, 0xbcf14c67, 0x3d1bd79b, 0xbad3b843, 0x82ee4e00, 0x1e3d9160,
+    0x075eb72b, 0x18496fcc, 0xf21703b8, 0xbc0e07c1, 0x682e40ac, 0xab2b0fea, 0x263556c4, 0xe1c2d2af,
+    0xd2b2119c, 0xea900e2f, 0x7b4b997b, 0x5523f568, 0xc7322a22, 0x7f736b43, 0x6ed1385e, 0x0c252a99,
+    0xb8f30fbd, 0xcd2815ba, 0x642026ad, 0x0110fa35, 0x903e8837, 0xa66ffb24, 0xcb628c0b, 0x7b843538,
+    0x2bfd6f82, 0xbcd04393, 0x0cad2533, 0x4214ac35, 0xa8df4f84, 0x76837edf, 0xd9b3246f, 0x4c82df20,
+    0x7674d2b8, 0x36209e2d, 0x6bdb43f4, 0x12c786a2, 0x85ac5aaa, 0x9ef49a7a, 0xca234e02, 0xae91e7a8,
+    0xaece7925, 0x837b265d, 0x8a88c081, 0xa75c6dcf, 0xd5fdd95d, 0xc083c76b, 0xc7eac62d, 0x40563339,
+    0x6b5851f6, 0x7fadb9c4, 0x828a14e8, 0x99241a59, 0xcc708ee2, 0x94c30a8d, 0x085be606, 0xcd5c94aa,
+    0x9f61b4d6, 0x4e607e76, 0x66af5990, 0x19c7436e, 0x3895a883, 0xedc8629d, 0x6d84f80d, 0x2ae16f3a,
+    0xb01bceb8, 0xd277f759, 0x3c325560, 0xc3955e38, 0x580d90d5, 0x34cdb076, 0x71daad9a, 0x1dc850b6,
+    0xdbcaaba9, 0x25ef65b0, 0x8f0c009d, 0xbf040f91, 0xf48bfd84, 0x2f38161a, 0x79722869, 0xeacda945,
+    0xef8863df, 0xc7f48a0c, 0x5cf54614, 0xecdf106e, 0x10401e64, 0x1fdfef5d, 0xb9f75480, 0xf5a889af,
+    0x6b540cea, 0x576f6eff, 0xa69395d3, 0xb8959a71, 0x70e62d78, 0xd1369f2a, 0x444a1a4a, 0xd27770fd,
+    0x19ee0857, 0xcf166861, 0xd1232a9b, 0x8d034040, 0xb92c7e6e, 0x4903fb07, 0xd47af9b0, 0x0afb532d,
+    0xd7ba0c95, 0xa7ab0215, 0x13cb404a, 0x9e92862a, 0x95fa3922, 0x009d8b81, 0xdc5d3ca0, 0x631c674e,
+    0x46274249, 0x0392dea9, 0xec7f4f80, 0xc81c4cee, 0xe58529ed, 0x5bf7e72c, 0x749c39bb, 0x8e3051e3,
+    0xe4d7775d, 0xa5dedc1b, 0x26dd2de1, 0x23ffd294, 0xda075627, 0x304e463a, 0xb8c4d21e, 0xe9d050ae,
+    0xb0796af8, 0x0bc042af, 0xdb2856d2, 0xa513f21a, 0xc8f71e1d, 0xfeac2090, 0x92431a49, 0x2bfa40a4,
+    0xe6179d90, 0x36136805, 0xe3d944cd, 0xf81297d1, 0xff60624a, 0xaaee7aea, 0x29f9517f, 0x7bfb47c2,
+    0x51bc2ce9, 0x47817931, 0xa65d76f1, 0x355388ac, 0x4d91f03e, 0x953e06b1, 0xa9d1ec9d, 0xa8a6334a,
+    0x0087e193, 0x608e4a78, 0x0072da52, 0xc2362db8, 0x8d473615, 0x119c41c5, 0xbae31c54, 0xc431f358,
+    0xa5947b8c, 0x2198a2ee, 0x9d23dde6, 0xddac44a4, 0xe6f54de1, 0x9346adbf, 0xb4834f01, 0x359509f4,
+    0x7a4f9c89, 0x671facec, 0x8ad2ea4d, 0xd455d017, 0xa3cb0a5f, 0x4000ddcd, 0xd1b95808, 0x259ea6d7,
+    0x95fc321f, 0xc0c6a875, 0xae8c3171, 0x1fa54bb0, 0x9ffd25ea, 0x0970201b, 0x4fffa34c, 0xa0f183d5,
+    0xf7804bd2, 0x036a0878, 0x6675a3a9, 0xc01229ad, 0x6f4f957d, 0xf637995a, 0xe1585e67, 0x9e81443f,
+    0xd57afe19, 0xcc6a9741, 0x504290ad, 0x72f3388f, 0x19bd4944, 0x3e3f5e07, 0x9c9d1a8e, 0x884b2d65,
+    0x2f01c52c, 0xdbc1b3a8, 0x13aed2ac, 0x06262e44, 0x810cfe42, 0x7543011c, 0x5ac2be28, 0xd85cc912,
+    0x15a5a77b, 0x39eeb2b6, 0x1922f88b, 0x802e4b97, 0xb0a81327, 0x69a616a0, 0xa8b8e7e5, 0x2df36c47,
+    0x2716223d, 0x93ae5a84, 0x7cbddce2, 0x7b3ab8bb, 0xc530ec4c, 0xff00bb22, 0x72ced7bc, 0xd7559bc2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000001208925819614629174706176 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c8, 0xea036da7,
+    0x00000000,
+    0x86651320, 0xf90a21b4, 0x1188ace3, 0x44adf802, 0xa1020cca, 0x34a2a324, 0xf47f7271, 0xb23ff4c0,
+    0x95dfa170, 0x87f36826, 0x64b6a8ba, 0x6895d97d, 0xfdfbfba7, 0xc8de54a3, 0x7594e69e, 0x7ba9148d,
+    0x5d6269ed, 0x4cfe05b9, 0x51696931, 0x3ca6117c, 0xea30c5a6, 0x97f1fc50, 0x0e7301bf, 0x5024f99b,
+    0xaa240182, 0x74740a69, 0x29d101a9, 0xe991bac0, 0xde860af3, 0xd2f682dd, 0xcc4ada84, 0xe701c8b6,
+    0xa173f8cb, 0xa50edba2, 0x298a3fda, 0xb9e3b217, 0xb991d7ee, 0xa6c97d1a, 0xd7fe2729, 0x2420b5fa,
+    0x1599dd32, 0xd74c9095, 0x9939d7e5, 0xfdc25a08, 0xf4f40c86, 0x0551933c, 0xf729b269, 0x15fb8654,
+    0x70a11216, 0xbc288cfe, 0x25d90b5f, 0xb480642c, 0xcab23481, 0x34752843, 0xf9d3abb2, 0xdea683b9,
+    0xe22432ac, 0xd48fe9d0, 0x07d9655a, 0x4399e3cf, 0x0c614dbd, 0x8d2b670d, 0x7b352435, 0x034a0642,
+    0xa1e53a31, 0x464d2192, 0xc6f05920, 0x7d151739, 0xc8f939b2, 0x10a8a143, 0xc404737f, 0xd8ae1510,
+    0x47f08da1, 0x046f8958, 0xa62db8f8, 0x802b11f1, 0x9f981fca, 0x0f0d2064, 0xe088a39b, 0xcb50d538,
+    0xa148123d, 0xd2d44858, 0x19e84b9d, 0x406ac895, 0xeb08cd25, 0xa18c19e8, 0x8d4be87f, 0xf900b0c8,
+    0xfcc30026, 0x564b58d7, 0x20333473, 0x5360b8cf, 0x671d4124, 0xf529f972, 0xeb5951b3, 0x67ee87dd,
+    0xe638c568, 0x6124e5fb, 0x7f95d4df, 0x1ccffde6, 0xefa24b74, 0xf8e8f3b0, 0x2fee5873, 0xf88e5e3b,
+    0x44abf7a6, 0x25e83bb2, 0x57985ffb, 0x0e291bfa, 0xadfa0ee9, 0x27ec44af, 0x153006e7, 0x7dc356db,
+    0x52d66fec, 0x60043afe, 0x873b6298, 0x0166d984, 0x2d7d4a8c, 0xde2955a2, 0x842779ee, 0x5e041887,
+    0x363efd9e, 0x1071c51c, 0xd9f4dc77, 0xc82597cb, 0x532fd119, 0xf4a9a098, 0x7837c414, 0xb2a08db4,
+    0xc9f6ea92, 0x5c74dae9, 0x97f0d675, 0x5de9dcd4, 0x99b7a96b, 0x5386803a, 0xf58a1fe9, 0x63588816,
+    0x4c9e277d, 0xa50103d1, 0x33381fd3, 0xbe2e0163, 0x75599e93, 0x12c08895, 0xb313a047, 0x7e9987aa,
+    0xd71e9ff7, 0xfc2ff367, 0x755159f5, 0x185c31e1, 0xee10afb7, 0xfc9cd2fb, 0xb0cf65c9, 0x133cdc2b,
+    0xabd47577, 0x650e6a20, 0x5ef86b32, 0xfbc88017, 0x1f15c883, 0xa6560eef, 0x5e95d06e, 0x1bf07987,
+    0x579bdde6, 0xa8211567, 0x05810653, 0x0974644d, 0x68748f17, 0x99e95bfb, 0x38405377, 0x233aca07,
+    0xabc9f678, 0xa20c24de, 0xe5f7c81d, 0x73dc43b1, 0xeaef6c9b, 0x4bb13ab1, 0xa0e3c3e0, 0xf55e25cc,
+    0x76e3ab94, 0xb464cc0b, 0xc2d257f4, 0x572a29f2, 0x33240e03, 0x95714f3f, 0x0e2783cc, 0xafffcf94,
+    0x180c7eb5, 0xfff3a9bb, 0xa8413720, 0x868763a4, 0xca07ace0, 0x5b3d1632, 0xe345db5a, 0xdefbc1c0,
+    0xb810a6df, 0x9f8e1c5b, 0x9c044cef, 0x0917c8fa, 0xb9b0a9b0, 0xb70634c3, 0xf8419421, 0x31ad9571,
+    0xcfc6f6aa, 0x687f27ee, 0x2cd33f64, 0x5d3bfd84, 0xd32d7e6e, 0xc7522658, 0xae3bc113, 0xd833cd96,
+    0xc3d7f7fa, 0x37a686ca, 0x8d337011, 0x274365b4, 0x652f9a3c, 0xf94c2b14, 0x35da04de, 0x46b7019f,
+    0x67e06454, 0xb2477010, 0x7393bf92, 0xdc2ea6c9, 0x311a4029, 0x057f5b3f, 0x92dce883, 0x4d977e51,
+    0x2080abeb, 0x0c8e7a4b, 0x496bf7ad, 0xe34d7f22, 0x3072a7ab, 0xc0070e0a, 0xb73ee3a7, 0xbf9937f0,
+    0x0061cf24, 0xb0cd0945, 0x2c6fe209, 0x59a1bdd0, 0xbcd27889, 0xf19f8f9d, 0xa4a06e1a, 0x3916bf91,
+    0x934c799d, 0x08a0b799, 0xc175ed70, 0x8e6ab996, 0x49252b82, 0x697d77b5, 0x9db8e7e5, 0xb939215a,
+    0xe8e0e06a, 0xcb404f52, 0xb437dc15, 0x78290015, 0xf081f63c, 0xdfdde84d, 0x7f968c39, 0x749fb0ec,
+    0x3ea18cbe, 0x8963fafe, 0x2a10edf9, 0x36606d51, 0x4a7273bd, 0x90b7a4f1, 0x4acffce0, 0x458469f8,
+    0xd6be1c54, 0x3615c4b1, 0x8dbd0bc1, 0x46ca198f, 0xbe6265e9, 0xb44cd652, 0x646a1c4b, 0x7af3bc19,
+    0xabc21335, 0x194c90a5, 0x6f731ec7, 0x6972425b, 0xbd07dcd1, 0xf20fe2db, 0xf18ea024, 0xa8b96d7a,
+    0x884f2ded, 0xefea5a34, 0xc2dea347, 0x9cd6ff92, 0x6de6e542, 0x0fb10697, 0xd57301fb, 0x03a245a3,
+    0x52a1772f, 0x8a4db99c, 0x30848e2c, 0x1a4ae44e, 0x44451ef1, 0xe00433b9, 0xdf6befd2, 0x4e786ba3,
+    0x49fdd781, 0x1ddf6833, 0xd575e67d, 0x89238092, 0xbf159a00, 0xa9fa4c44, 0x984f1505, 0x61bf9ccc,
+    0xbcb905e7, 0x3a284647, 0x6a8aa8b4, 0xfa849a2d, 0xa86c1e1e, 0x777649e2, 0xcba3e161, 0xb1fc6fce,
+    0x224e6ba9, 0x17662c39, 0xa2c52bda, 0xba19ffa4, 0xebe9a4b7, 0x0d3c3bd1, 0x8bd47adf, 0x6eeba33f,
+    0xfa03514c, 0xcb235354, 0xec52f81b, 0xef913dc0, 0x4cf519c3, 0x243f0396, 0xcc8f2d12, 0xa80ce3b0,
+    0x6d0b0b22, 0xabce5da0, 0xa61de6e6, 0xb24462fd, 0xec0232f5, 0xf921f400, 0xf8b2445a, 0xf074ea5f,
+    0xe78a82c1, 0x1df96090, 0xa436a7b3, 0xbbeee708, 0xf6e12626, 0x39da8c50, 0x12220f80, 0xa97e95b7,
+    0x47a50839, 0xaace8b01, 0xe114c361, 0xb430c483, 0xce694546, 0xf1f8b88c, 0xcb01f9d6, 0xaed726ec,
+    0x7f695875, 0x0b7c86fd, 0x906141cd, 0xd801ba4b, 0x80a375ed, 0x7e20a495, 0xbdb4472a, 0x65420398,
+    0x19abdf52, 0x2faea56b, 0x7cbafc40, 0xe11f01c5, 0x2e9a1eaa, 0x2e92b2bb, 0x87406cd6, 0x1b6774db,
+    0x68a37856, 0x864dfcbc, 0x2bd77043, 0x7bb65641, 0x7e5e5e86, 0xb4ceafe4, 0xe523a199, 0x806894c5,
+    0x8d0a6f7e, 0x6ad078bf, 0x8e8c987b, 0xb52e55ea, 0x2ce82e21, 0x19c57436, 0xd4428c7c, 0xb9f8249c,
+    0x49cbb9e0, 0xb84cabdd, 0x08cc4cc6, 0xcbdae564, 0x7ee24bf5, 0xda94f446, 0xfb587693, 0x78437da4,
+    0xcb76b867, 0x338447f7, 0xa76ee9c3, 0xb406eee4, 0x6d971ca3, 0x64442ed2, 0x5e325272, 0x79529f80,
+    0x7b5b1859, 0x2cf120bb, 0x66ce9708, 0x1997b2a9, 0x1f065d92, 0x9a504da9, 0xf22629f5, 0x50e42fe3,
+    0x8d33a416, 0x92301e38, 0x74a38006, 0x958f516d, 0x8a8820b8, 0x87a5b066, 0x3fc0b4cb, 0xb39a8828,
+    0xde164d9a, 0xd4f02000, 0xc9af0280, 0x570ea789, 0x08443922, 0x5e168979, 0x4bd8d3be, 0xad11a085,
+    0xea8458aa, 0x22555702, 0x334d2565, 0x4c854374, 0xb19fd933, 0x0ad5e8cb, 0x7d4d05aa, 0xf4f2012b,
+    0xef23629c, 0x9be36f85, 0x5647d7a7, 0x1d5a7f5d, 0xfd4bbc29, 0x73c279f5, 0xd2215cd7, 0x43ff0d4f,
+    0x048f84f6, 0xea4a6acb, 0x79293435, 0xbcef41f6, 0x3c6ed232, 0x9b1cd3b9, 0x0ee4fbfe, 0x6b0783a3,
+    0xde32142f, 0x1ba95826, 0xc125b5c1, 0x36fec759, 0xe36e3571, 0x12d0ca61, 0x5983a2d1, 0x3530034b,
+    0x1a13f241, 0xc6a7ec00, 0x4029770d, 0x437cd2d4, 0xd1aa9322, 0x17e7b662, 0x1fab7391, 0xe3e0cd59,
+    0x054d9e20, 0x99ca4266, 0xaed2f79e, 0x9764f098, 0xb9e9dbbd, 0x6bfab3d8, 0xbe003476, 0x020297b1,
+    0x2cafa723, 0xecb1f605, 0x5819a80e, 0x6b611222, 0x39df2122, 0x3b2a3950, 0x1dc1d572, 0x8490935e,
+    0xe6bf4b3c, 0x2151e198, 0x57deee5a, 0x9188e547, 0x8541e1d1, 0x034dfa8e, 0x9b681454, 0x760dd5f7,
+    0x86294ecc, 0x07b58938, 0x62f8333b, 0xaa0b51a2, 0x5c1d9de9, 0x5857b244, 0xe6c4d9d7, 0x868e0e72,
+    0x0ed4c2e0, 0x977109bf, 0x5d0bd817, 0x878fbd0c, 0xe9174eeb, 0xb8ca4e40, 0x57491b11, 0x61153c2f,
+    0xd84a64a4, 0x9937e4d1, 0xbda12465, 0x2865b615, 0xb3b0daaa, 0x93321b45, 0x8217e525, 0xb12fc302,
+    0x2b5cb769, 0xdab732e4, 0xbf132816, 0x8dbd4bbb, 0xe3c38ad8, 0x54b64c98, 0x98eeb6a9, 0x1f828ffb,
+    0xd20744a2, 0x523397d0, 0xceb193dd, 0x8b93273d, 0xa2961f3d, 0xdb666662, 0xe848e910, 0x8c083cde,
+    0x6955ee08, 0x633b9436, 0x8d29f9ed, 0x587e51f7, 0xe88b496d, 0x51fd5c81, 0x2312ddcb, 0x6ecf6939,
+    0x9beb17f6, 0x8b1f8945, 0x5c98cc33, 0x03810228, 0x26690a5d, 0x3686c552, 0x6daad5e1, 0xbe85c00f,
+    0xac2c4739, 0xf5356276, 0xccc01cd5, 0x6045ccf6, 0x25604a38, 0xbdf670c9, 0xe028f087, 0x6c47e1f8,
+    0x57373de9, 0xe23d6dce, 0x3c597ad0, 0x62828309, 0x81009f19, 0x0192abc0, 0xbba67732, 0x8e4bdc83,
+    0x07e8e4b4, 0xaf66d081, 0x4b27bf47, 0x9e83dc6a, 0xa70da560, 0x95503002, 0xe3849e01, 0x09d99460,
+    0x5b6adf56, 0x3a85357c, 0x01eef19e, 0xcc353c4e, 0x92acb650, 0x77962a3d, 0xa4e04a37, 0x47f90fa2,
+    0x8d2313b2, 0xecadab0b, 0x3137921c, 0xae4c72a2, 0xc65d0073, 0x30a2479d, 0x2f97c328, 0xd7c1048d,
+    0x72e3ac52, 0x4cf1541a, 0xd8e7d061, 0x4c6c6b9e, 0x3a54e783, 0xd1478a9c, 0x0ff54595, 0xe123c26f,
+    0xe74752be, 0x666aabf5, 0xd3f255e5, 0x89de3e8d, 0x4b7d5aca, 0x17b9c546, 0xda41a6a3, 0x96ca2ee9,
+    0x68599008, 0xede5081a, 0x69840232, 0x17ddfbe6, 0x6fdcca36, 0xbda11af3, 0xc2d32c9c, 0xc1b990d9,
+    0x9d8410cb, 0xd52107b4, 0x6b991378, 0xdc6aae4a, 0xa49ab3c0, 0x4b9d3f1e, 0x970ed980, 0x68096afe,
+    0x9a39ec02, 0xedf24062, 0xef36c459, 0x7ff62cb4, 0x913e0b3e, 0xf3604914, 0xc4f7c5c4, 0x13a49f0c,
+    0x069ca6d8, 0x8507c64b, 0x4dbcc1ed, 0xb8196a08, 0x09ea5ac6, 0x409f4382, 0x69bba495, 0x4d43a3d9,
+    0x757fdd2c, 0x98b6109f, 0x09f6cc81, 0x0e8b6acc, 0x2f340084, 0xf001c5c0, 0x03a30641, 0x2ed69516,
+    0x4c942eac, 0x55597a19, 0xb9e8c20a, 0x4b50aa73, 0xd894d025, 0xd915486b, 0xfdac6007, 0x79d354f5,
+    0xb942adf8, 0x5ed04b1e, 0xe47b2364, 0xfdce632c, 0xc768da03, 0xa804d0bc, 0x6c5e7e7d, 0xc2fe0ebe,
+    0x4a295336, 0xbfaeb461, 0x7f43b0f2, 0x0d657b2b, 0xef7d0583, 0x47eda763, 0x93ef6f79, 0x8ec30fea,
+    0x49a00d10, 0x1f7ae8c3, 0x5ae02333, 0x19cfcd01, 0xbb1b664e, 0xa2d5ec48, 0x5f6d1ede, 0x3f5ab4ee,
+    0x4990ce95, 0x67c0c4ec, 0x4b85c14f, 0x8b07c59a, 0x4a27ba1b, 0xa11c3e24, 0x75af6e62, 0xe88fdf3d,
+    0x342fec8e, 0x06e42408, 0x9c188cf5, 0xbdc84961, 0x4a5f7880, 0xe94b535d, 0x7e1fa33b, 0xeff27f82,
+    0x481510f0, 0x05f976ea, 0x38ced234, 0xa7bbd609, 0x2f912704, 0x0432d862, 0x7142b28a, 0x07ff345b,
+    0x60a3379d, 0x2bb9ab6a, 0xd9837062, 0xc55ac01b, 0xcf5dff7a, 0xb6db7471, 0x6f213773, 0xc0c56281,
+    0x7bad7e18, 0xcdb300d8, 0x4d073581, 0x91c7762b, 0x54d857d1, 0x7554a79c, 0xb849c66a, 0x60b034a3,
+    0x610613b0, 0x60032ce9, 0xb68d34e5, 0x8eb71a2f, 0xd9756de7, 0x39e993ed, 0xdfcafec1, 0x5958b2c0,
+    0xb1127c6e, 0x8f01e0b7, 0x7925994f, 0xeb33fac7, 0xf79178e0, 0xb01b7344, 0xd01fbe5b, 0x3f46e4cc,
+    0x8eccb9e1, 0x26717c2f, 0xa1dd096a, 0x5e932838, 0x19d5b04b, 0xaf75a46a, 0xa3b8a6a8, 0x2834f695,
+    0x04b5c019, 0x3e8c2488, 0xc55fad67, 0xd560525b, 0x5c60c2a7, 0x307aed6b, 0xa4b26bb2, 0xbeee9c27,
+    0x3f081a6b, 0x32bb8027, 0x758797ab, 0x20714c3e, 0x646a3051, 0x2b5e1ec1, 0xbe33aaeb, 0xc2f4b65f,
+    0xc5a19428, 0xaf4d556a, 0xe2331241, 0xb307b1f1, 0xacb757b7, 0x877ee457, 0x1194dc9f, 0x38ae987e,
+    0x403c73ab, 0x1fb27b3d, 0x9c3cfbb9, 0xd3388f28, 0x9ca82bb9, 0x073bd2b7, 0x9bcb1464, 0x031df310,
+    0x4ad2cf0e, 0xe15f3d0a, 0x488b987b, 0x14eb0fc1, 0x2e004a7b, 0x8b109782, 0xf85711cd, 0xff1f4069,
+    0x4aea14f0, 0x3f46dccf, 0xf6e8290f, 0xd9d84700, 0x6461aeb9, 0xdf553c38, 0x5345e542, 0x92c040b5,
+    0x75792de5, 0xf29a8a49, 0x9f972880, 0x669c77f0, 0x5b3927ea, 0x23659fb5, 0x239dca4a, 0x96591541,
+    0x5c480fa3, 0x9cc27df8, 0x8933db3c, 0xb2e788d4, 0x5b8d7901, 0x77999fa0, 0x89be5a0f, 0x3f5f5382,
+    0x9502d1cb, 0xfe9846f0, 0xd90cfe15, 0x8717dc7b, 0x1518f32e, 0x3516c338, 0xb6e8df3a, 0xd1476cd8,
+    0x4f5fbd50, 0xd2f64ddf, 0x891f1113, 0x8f5a5d29, 0xaf97607a, 0x894a44ad, 0x300318c2, 0xbd3da1e4,
+    0x3fe5a9fd, 0xa7bdcdf9, 0xc30d456c, 0x95e5c057, 0xfce7fea2, 0x03443088, 0x93c87569, 0x622e4fa0,
+    0x53f0099a, 0xab9cbea1, 0x1932127b, 0x5cc1356e, 0xd30b0edf, 0x30bada8e, 0x553f7f3e, 0x4736b20b,
+    0xab1317ce, 0x78e0f3fe, 0xfeea11ce, 0x34feb876, 0x3ff73b37, 0x5da5a9d0, 0xa208b7d8, 0xd058c726,
+    0x34c73fd6, 0x7a2c6776, 0x6f5655b0, 0xdbfaf619, 0x81cd197b, 0x5f449637, 0x7badbea7, 0xc1f24ffa,
+    0x512aeca5, 0xd8a27d04, 0x38c88a18, 0xdd090882, 0x842f6028, 0x30d1181a, 0x23e436d2, 0x31184a5a,
+    0xa34b5bba, 0x88001f6f, 0x672ccaa9, 0x849d83f5, 0x23e2bc26, 0xecf9f188, 0x14e2ed87, 0xfe3891a5,
+    0x352d14c2, 0x4db4b37c, 0xe020e677, 0xc40b88d8, 0xb4caf4ce, 0x2d7136f2, 0x4b2dcb23, 0xca833546,
+    0x7979d0d8, 0x06211428, 0xae009acb, 0xcddaf08b, 0xec6c76c1, 0x8dbacf4d, 0xfc47b1e1, 0x215f40a7,
+    0x2dab8e06, 0x43f8322f, 0xd832d7a4, 0xf2ad637b, 0x8ffbe186, 0x8a0832ca, 0xa19c0f1e, 0x60d0c73c,
+    0xf90f2880, 0x849fe7e1, 0x7dcaf7e7, 0x9518d24b, 0x8ec6beff, 0xcc351838, 0x29a78cf3, 0x8f57b53e,
+    0xb13ac6c9, 0x9ba993cc, 0x0a7c183f, 0xd80b229e, 0x4c6f1d35, 0xe5c3bfaa, 0x706bd937, 0xef29fb6f,
+    0x107e196a, 0xf9a5ca92, 0x1ce65f30, 0x477433ad, 0xe5fcc85e, 0x004dd345, 0x885d5e1e, 0x02a8e08c,
+    0xd31e6a92, 0x628c9fd4, 0x2eb8356f, 0x4ce15e0a, 0xe3cc36c7, 0x9ddcde53, 0x75a4d595, 0x9baac1f0,
+    0x6e79c2c8, 0xb63fdaf4, 0x526e124f, 0x41413c5c, 0xd66bb484, 0x162b7b1b, 0x18949846, 0x5cfbb1c9,
+    0xf03e6103, 0xb353114f, 0xfae9ac9b, 0x9920401d, 0x0ddef308, 0x95cb1cfa, 0xd9771b85, 0x76eb6819,
+    0x8d1b7630, 0x06bf2013, 0xc7c1c4e2, 0xd57017d2, 0x343fee46, 0xd14645b3, 0x8983ff93, 0xf37d5df1,
+    0xf475966a, 0xf47d3d31, 0xbccc04a3, 0x958e931d, 0x823b993a, 0x2c00be28, 0x5802b990, 0xaff01fb9,
+    0x4d45f199, 0x1c96cbe4, 0xf36419c2, 0xd83fa645, 0x90209311, 0xe3772b1b, 0xe5594e71, 0xc3f22224,
+    0x504acb24, 0x8c29fe5d, 0x2b31aee0, 0xd144f71b, 0xd6bedcf4, 0xb851d0e9, 0x77bca933, 0xd283a59f,
+    0x37b539c8, 0x89d2766f, 0x9619168d, 0x85356379, 0x4260e231, 0xaab0df62, 0x40c426e0, 0xa47e3543,
+    0x0016457a, 0x9d38faea, 0x593a2f47, 0x28f440ee, 0xb71303ac, 0xadf1cb76, 0x9f3e82a4, 0x2a8d355d,
+    0x21a3a367, 0x0162eef2, 0x5ae3022d, 0x2e70109e, 0xdac1febb, 0xcb9d1ba6, 0xa2b71c7b, 0x32c928a2,
+    0x3ff0849a, 0xb8b4ed69, 0x32dc205e, 0x00a08d9a, 0xc01a8551, 0xaaced3ca, 0x23c421fa, 0x67bafc51,
+    0x5124f234, 0x76102e81, 0x96e1c7b5, 0x6455c154, 0x0bf91b78, 0x8efe8799, 0x98693e43, 0x45bb136a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000604462909807314587353088 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e4, 0x7501b6d3,
+    0x00000000,
+    0x83288fc4, 0xa285df2e, 0x6081df52, 0xaf22a104, 0x410b5996, 0x7f9f8609, 0x8e43ddeb, 0x934d9923,
+    0x654d387d, 0xf61b4100, 0x284716be, 0xe465bb90, 0x4ce1405e, 0xbb8a9368, 0x90c57829, 0x49d6ac48,
+    0x99a3b345, 0x4a86fed1, 0x8ab73c8d, 0x14b3af76, 0xbac5d03b, 0x11f04a86, 0x085435d2, 0x173cc972,
+    0xbee76b4a, 0x226f8cc0, 0xfb1a4b4c, 0x07476f69, 0xd945e3d6, 0xa743ee38, 0xfc2b2b14, 0x8d394ab2,
+    0xa03c9bf0, 0xaba4b514, 0xf26fb1fe, 0x74dbf380, 0x7b57a021, 0x79b9b542, 0x56fbfba9, 0xf3fc9099,
+    0x7304f5d0, 0xfd4a38d1, 0x73829b9a, 0x90f421a9, 0xce3f3ab3, 0xfcaa620e, 0xe77cb6d0, 0x41cebda6,
+    0xa82b4528, 0x6b89bac9, 0xa50c72eb, 0xb1888d78, 0x7daaae27, 0xa6aae189, 0xed96b698, 0x3d60228f,
+    0x4208e788, 0x8641df0c, 0x5930ff0e, 0x479ebec7, 0x01346cce, 0x421f2f26, 0xeebc5a9e, 0x112c923e,
+    0xe577f1e4, 0x05ddaf0e, 0x2c62158e, 0x9350fe3a, 0xe363e9db, 0x65d0486b, 0x7684bdd5, 0x071dd7ef,
+    0xa5abcb98, 0x95110fd5, 0xa7730d71, 0x4326e404, 0x01166554, 0xb215d48e, 0xd48e0a5b, 0x62a3bf85,
+    0x85fb343a, 0x13706294, 0x1f45a614, 0x1ea55f6f, 0xc3006d52, 0x3f5da8ee, 0xb3b99ac0, 0x06fcd873,
+    0x726fc96b, 0x63c8248b, 0x31113e66, 0x78a22d4f, 0xbfe6cf6d, 0xc670bbfb, 0xe837382f, 0x61c91bb5,
+    0xdf28b321, 0x1d782a47, 0x6050ceb2, 0x4bbe494e, 0xb5371c2b, 0x5f1f41f9, 0x07bf6efd, 0x4e57f584,
+    0xe6056316, 0xa49ec387, 0x82ec56de, 0x8408c982, 0xe0c80b4c, 0xc642e60f, 0xf2ead2ec, 0x17ff5556,
+    0x65fc13ab, 0x6c166154, 0x7d2345f1, 0xcada721d, 0x4c72ae0d, 0xd3a7da9c, 0xc030ea7a, 0xf1036fd2,
+    0xbdf2bc5c, 0x56344b20, 0x28d9ee4c, 0xbd69b18c, 0x8f28889d, 0x64f4d22c, 0x783b2bbe, 0x75e87230,
+    0x57ac75f0, 0x1ec687f2, 0xb634cffa, 0xcc2d5df9, 0xa311f232, 0x78259c78, 0x5748c671, 0xd77a7561,
+    0xd15bb581, 0x1a67a1d3, 0x1ef21ae0, 0x38371cf0, 0x0ca3bd79, 0x4e243354, 0x821cb8bb, 0xaa46c4a3,
+    0x7f0ca91d, 0xa8b5f0a0, 0x3c708b21, 0xd2a0c51e, 0xff396c8a, 0x0780eb61, 0xede9b953, 0x626e18e6,
+    0x2c992bb4, 0x1ff1541d, 0x9f6b04df, 0x420f4188, 0xaa49a3a0, 0x1cd72ba7, 0xee2eb992, 0x21320561,
+    0xddf92c27, 0x051d3510, 0xa4193b9e, 0xf468bad1, 0x64c60890, 0xf1db3807, 0x79f971bf, 0x6845cb77,
+    0x6b51b4f3, 0x2430e27e, 0xd7a559ee, 0x45c97c46, 0x44452d35, 0x68b1b73e, 0x42a5eb2b, 0x5d4c239c,
+    0xee540e67, 0x92984935, 0x581d1e0e, 0xcc3912fa, 0x493c4f18, 0x410b647d, 0x3fa2bff2, 0x5110afb1,
+    0x7eafdf24, 0xd90f3c10, 0xbf3cbf51, 0xee357199, 0xeb002e65, 0x96d510e8, 0x121d5589, 0x06937c95,
+    0x80a4d1d8, 0x60da4e6d, 0x234045cf, 0x9ff66b48, 0x4cc1168e, 0x045b8208, 0x816150b3, 0xce86685e,
+    0x1424a4b5, 0x06d8ebef, 0x170d1e70, 0x86a29fc0, 0x021f781f, 0x5cbe1327, 0x97b3a24c, 0x9c136e62,
+    0xf64116ed, 0xd594f1eb, 0xbcde1924, 0x9abc8ac0, 0x27fed45d, 0x18e7e672, 0x522b72a7, 0xf6ab9aa8,
+    0x42acb13e, 0x3029abe5, 0x49209472, 0x3297e57a, 0xa894d4f5, 0x75eb48dc, 0xb8f7b9aa, 0xe527acf1,
+    0xaeaf8b7a, 0x09ea0829, 0x448cff07, 0xc8abef23, 0x70ed39be, 0x7e08df4f, 0x872e3bd3, 0x1a5eda4d,
+    0x1a6a8ccc, 0x9a167c93, 0x5527c05a, 0xe8d22e62, 0xdaa9b280, 0x7cff983b, 0x71600594, 0xfcc6ba98,
+    0x2761e39c, 0xac053e8c, 0xe5d44f76, 0xd06e0896, 0xa1db9421, 0xdfb5f972, 0xf6b33e3e, 0xc3eedace,
+    0x22b5de2b, 0x4bb95ecb, 0xf7945c6b, 0x5a493b7e, 0x7432103c, 0x44f65c4c, 0xe4e37e60, 0xc1ba1304,
+    0x8b3b8c7d, 0xec4d39aa, 0xdb2b6e1a, 0xd9a48fff, 0xa430c6d4, 0x79282666, 0xf3108897, 0x7ff79e55,
+    0xe9aa40c3, 0x89e53d6a, 0x44ea0e1b, 0x96b30a04, 0x3c496b12, 0xbf7b6257, 0x51de81c3, 0x91506861,
+    0x3028c8b5, 0xe657efcb, 0x48f8cee4, 0x1c36d5e5, 0x49d95dea, 0x0ac0c081, 0xde19f173, 0x3ac61e6d,
+    0x753fac0c, 0x5ceb8b3e, 0x8cf019a8, 0xdb38f5ae, 0x0dc51e82, 0x50296e0b, 0x3c184c77, 0x8a934374,
+    0x14b5aa02, 0x4a8f78ff, 0xa03364d8, 0xedbbb59c, 0x95a2b377, 0x51e149a2, 0x561886fd, 0x5898d29b,
+    0xf8aa9926, 0x1987a25e, 0xbce6696b, 0x39bdbbff, 0x523c4be9, 0x3989dc1c, 0x1cac8c37, 0xa05acbbe,
+    0x915f2157, 0xc25d9c4c, 0x399f976a, 0x96cc5c89, 0x8edaca9f, 0x5d4f49f3, 0x9f220e2d, 0x9f572fd5,
+    0x8bcb4dee, 0x96c699b8, 0x5a8c85ce, 0x0d74ea96, 0x7672991f, 0xb4fe5719, 0xed32810e, 0xad8e0fa2,
+    0x319fa5ca, 0xc3eaf154, 0x24b36c70, 0xb0510561, 0xd7f0a955, 0x3d4bbaf2, 0xcebdb0c4, 0xd249acc3,
+    0x52eb04f7, 0xa2b23712, 0x8306e6d3, 0x84aa60f6, 0x6b77aa1d, 0xc7b37921, 0x69f5f5fd, 0xe6827d3d,
+    0xbf535471, 0x9415900e, 0xafa084da, 0x0d710cbe, 0xd379ba54, 0xa4aa456b, 0x9337b1e6, 0x09a6ad49,
+    0x681e3a98, 0x3075583f, 0xfbf71d64, 0x3a8546c7, 0x9d63ad66, 0xfbb6fb51, 0x8cacd11b, 0x094bc98a,
+    0xa9abbc09, 0x71ab6dac, 0x9fa0358b, 0xf2259bc2, 0x6ddfb703, 0x851ff1cb, 0xa270c89e, 0xd71738b7,
+    0x3a6b7039, 0x495e14d3, 0x8f74bb1e, 0x62ec714a, 0xfb74805a, 0x8d4ee330, 0xb124f61c, 0x0450a50c,
+    0xd4749068, 0x8d84dbdf, 0x1ae4d1a1, 0xa83ebf69, 0xd822052e, 0xee59b395, 0xfb06556e, 0x4818cf2f,
+    0x6a7c7f85, 0xe7e399f7, 0x2364c5ea, 0xc9ff53b1, 0x2a1174cc, 0x2d20d73b, 0xd0f5b391, 0xa499af16,
+    0xac7e4d53, 0x524670b8, 0x4f338dcf, 0x2b424617, 0x51e1745e, 0x4349a970, 0x514604dd, 0xba2864a0,
+    0x80e563dd, 0x2a4dea76, 0xe4029603, 0xee238b6e, 0x6f09f2ee, 0x92ededa0, 0x8cde3b03, 0xbf122f22,
+    0x62661998, 0x58f81d52, 0xf0f30157, 0xfc90d36a, 0x78b970e6, 0xf0b6aaac, 0x52e61fe0, 0x1bec7fe7,
+    0xbc5b885c, 0xac756054, 0x9432bcfb, 0xdf870bb7, 0x0a9d72e1, 0x602b64c8, 0x26447d0f, 0xdebe015f,
+    0x2277dce4, 0x16594491, 0x754028ee, 0xcd1c4caf, 0xcd726e9a, 0x3b58c870, 0x126f3747, 0x71a38030,
+    0xbf35c355, 0xdba41b04, 0xbf2bc868, 0x97b0f725, 0x11762249, 0x747ea804, 0xe59304d8, 0x30a9f461,
+    0x6fa170cb, 0x4d187554, 0x9362c606, 0xb8ecaf01, 0x4b8e00d7, 0x59b1efa4, 0xcfba5ca5, 0xcd323e4f,
+    0xf62dfa0d, 0xc4ff37a6, 0xaf66a46e, 0xc6d6095d, 0x82adeedb, 0xa1a0bcfa, 0x090fc2d1, 0x91513ca8,
+    0xa55baae0, 0xf835efbe, 0x8410b475, 0x4f785903, 0xb6b18970, 0x54ce31c8, 0x19646dfe, 0x44382749,
+    0x258d5ea6, 0x2f32c300, 0xccfeae31, 0xa91d4db5, 0x39b3f0a8, 0xbcd01358, 0xf3030cf7, 0xf7fd34f5,
+    0xb3351a83, 0xfd0c2317, 0xa5ce2b51, 0x06a26f8c, 0x959cc6ce, 0x46d8e7f6, 0x804d9e61, 0x24972103,
+    0x49552a47, 0xdad75fb4, 0x28cb1753, 0x16baf07d, 0x7b9d6f64, 0xbc927e48, 0x77c460cf, 0xcd7dacc6,
+    0xd9b803bd, 0x6ae355ee, 0xc6cc563c, 0x42ca7891, 0xc2b23cd6, 0x11ac9423, 0x7917e205, 0x6f917fe1,
+    0xdc6586bb, 0x7b1dfc0e, 0x6faf7169, 0xc1b6b51b, 0x22515f99, 0x09bd3a12, 0x80c3f5ff, 0x5c989ffe,
+    0xd00d1e80, 0x6db85942, 0x58b4df6f, 0x379ecf14, 0x66fe104b, 0xa6c6a4b2, 0x8b201093, 0x896354b7,
+    0x0b4d4c8c, 0x5badcd67, 0x039164f5, 0x0e856523, 0xce40c15b, 0xeb9ddee3, 0x0b8bf0e4, 0x41ef36e2,
+    0xb3b24b15, 0xd6fcd1ed, 0x4338cde5, 0x171214e4, 0x2c0df46c, 0x33411622, 0x75f3433a, 0xce413479,
+    0x9a8fc279, 0xae227fe4, 0x5a4087a6, 0xc35c6155, 0x782a91b2, 0x49aafd3d, 0x0b1e58f8, 0x0876acee,
+    0x027c9ae4, 0x32d0e751, 0xda15cec7, 0xf5183ae1, 0x7dd0b7bd, 0xf7444193, 0x534f21c4, 0x95d74faa,
+    0x21e482c1, 0x2aa80ace, 0xa50389c1, 0xccfe6985, 0x78c49e7f, 0x2a4d014a, 0xb81a86d6, 0x5a590a3c,
+    0x5dd46c5e, 0xe684f65a, 0x8a72a686, 0x15d48962, 0xcb364c35, 0x1b31c710, 0xee6c087b, 0xf44cf1b5,
+    0xad2f878b, 0x0c28856e, 0xa6717b24, 0xc898c39a, 0x1a4ef18a, 0x6eef879f, 0x57b95b39, 0x935e8827,
+    0x4d38c4d6, 0x1648ef78, 0xae110479, 0xa8c8d65f, 0x982c2edb, 0xf9d75e96, 0xd315d038, 0x04a1d972,
+    0x5e59d255, 0xb82af1ae, 0x9e32b2e3, 0x190d1bc1, 0x08e115fa, 0x01638a71, 0x6abf28e1, 0x9e275c46,
+    0x1fdbd2e2, 0xfca0a305, 0x54f217ce, 0xbdc7fccb, 0xd83247c5, 0x606e0ba4, 0x545235a4, 0x3b03778f,
+    0x6a83c30e, 0x3436309b, 0xc57fa216, 0xa427800d, 0x451fd1c2, 0xf88a5e9d, 0x490b5a9e, 0x1590197c,
+    0x560754e7, 0x7a4d8d79, 0x5aeba3cf, 0x92a37e82, 0x99879387, 0x58c7ec79, 0x3913694e, 0x5c3edbd6,
+    0x5ecb9083, 0x4ab654d8, 0x56eb5d6d, 0x9ab32231, 0x353baf44, 0x1d1b1451, 0x1aa9df36, 0xa5ade395,
+    0x9b608d0e, 0x3ed773a8, 0x5f19c9dc, 0x5835d635, 0xeee8620a, 0xae81f414, 0xe475d053, 0xbb4d4773,
+    0xb9626d09, 0x888b06ad, 0xf3b30ab2, 0x9f6ab0ef, 0x3ffc79d1, 0x44fb6ba0, 0xea52fb0c, 0x3ac05c1a,
+    0x0a6b74e3, 0xeb9b3f2b, 0x8e804111, 0xd35f54db, 0xc09294aa, 0x56e696b3, 0x8c1a5a52, 0xc0437230,
+    0xef1719cb, 0x8ad275bc, 0x0d89391e, 0xeea05e09, 0x06a27dd0, 0xceaa4782, 0x4eba21d9, 0x686b7f3e,
+    0x36dfbe11, 0xa3ffbbf8, 0x3e5289f5, 0x91b10c68, 0x84fe7b8b, 0x0f8e7c14, 0xdb813620, 0x53351a20,
+    0x8d4657f3, 0xf04dae2d, 0x1304d6c7, 0xabf5978e, 0x2a7b6661, 0x74b284e5, 0x804da745, 0x948e31d1,
+    0x69c29921, 0x8008fcc5, 0xfa8d0ce3, 0xa5099995, 0xc35fb0dd, 0xda4d190f, 0x344dcb0d, 0x8f96a535,
+    0x68e854d5, 0x9ac74fbd, 0x41cac350, 0x0735cbd6, 0xb1806481, 0x68a5e808, 0xad4b2a6c, 0x17c0bebc,
+    0x43321d36, 0x5b8fb789, 0x93d4db92, 0x458a24ff, 0x39573c4d, 0x43f8c661, 0xb764085b, 0x85ce6dd7,
+    0x241ef3b2, 0xeeec9121, 0x0a022dbd, 0x3c591853, 0xbf6e2a1f, 0x7a7eae58, 0xc1c585ee, 0xa0fef928,
+    0x91ab4de1, 0x1c1feeeb, 0x7020768d, 0xe013bd0d, 0x538bd112, 0x3cd9d0d9, 0x00df65aa, 0xdae8b8e6,
+    0xd8c8010e, 0x8cb9c05b, 0x3728008c, 0x49701ea8, 0x16c5012a, 0x28dde60a, 0x425fe4da, 0xc1933214,
+    0xc2e697fe, 0xd8f33192, 0xf72660d9, 0x85ae6a21, 0x51ccdf6a, 0xff8cd5d9, 0x4a3b9852, 0xdbbabc15,
+    0xe3076ba8, 0xb009ccbc, 0x3c67cfb6, 0x064aabd0, 0x75c525f6, 0xcf275b7e, 0x75608d69, 0x0c6a9285,
+    0x6c089ebc, 0xa04c8cc9, 0x78e4d02f, 0xe3c87075, 0x91c64dde, 0xc1594734, 0xfc7800f0, 0x4556e11c,
+    0x1c175899, 0x2f73a9b3, 0xa7e65b38, 0x267f2ddd, 0x92fb3f42, 0x59c2bad4, 0x6787c770, 0x3bf01d57,
+    0x16c11a06, 0xbd8172ea, 0xc71e6558, 0x16660f70, 0xd275825f, 0x21173dcc, 0x05ca6c71, 0x774db5f5,
+    0xee8df21d, 0x9a91eb1b, 0xadfac1f1, 0x375032fb, 0x0b42b7fe, 0x890c55fd, 0xf2972bc3, 0x866d35ac,
+    0x9ccbd4d1, 0xe57210ed, 0xef5861db, 0xf0a668df, 0x2f2225dc, 0xee2c7819, 0x24aaaa19, 0xf6dfd122,
+    0xfb8b43d8, 0xcb93be88, 0x3cb0cf75, 0x3418ca71, 0x9f355f14, 0xd6fe7c43, 0xa5771b09, 0xc76984fb,
+    0x99ca63cb, 0xc0aa8ff2, 0x75acff44, 0xa368e2e7, 0x996a47d4, 0x2d5884e8, 0x67d9ce8b, 0x24cbd0e7,
+    0x6848e659, 0x8e6da59c, 0x76da4d61, 0x7d3aae89, 0x8f530b35, 0x25eb0458, 0x4d68200d, 0xf2581c2d,
+    0xf9772e64, 0x9c5b23df, 0xfaa48457, 0x28e9eeec, 0x238ca297, 0xa3059482, 0xdd0b2067, 0x28fe7818,
+    0x89afcbc4, 0xf2a6b568, 0x998e27ff, 0xf16b98fa, 0xa4e4c464, 0x70213df0, 0x7c0080a3, 0xb3cf2231,
+    0xc4d1ab5b, 0x5e5e752e, 0x3749c366, 0x12a68892, 0x0a0f71a8, 0xbf72d4d1, 0x69112a00, 0xec2b98fd,
+    0xce00aba3, 0x5ad5455c, 0xa622de19, 0xc7a192da, 0x26ff0b25, 0x3f711059, 0xff3b9554, 0x2f5a6ce5,
+    0x6e7bc7b0, 0xfce0be96, 0xca9258c5, 0x8897b4e9, 0x3c4b280b, 0x92d89103, 0x3e4fe203, 0x3fcb6b61,
+    0x208ae443, 0xebc9385c, 0x636ffe00, 0x6dd41afb, 0xbb27819b, 0xf4a1ea4b, 0x1eea8aad, 0x0741be46,
+    0xafdd5770, 0xe1ad9c36, 0x69c4cc2c, 0x53390385, 0xfb4a9c42, 0xf180f160, 0xc6289cc3, 0x00a74465,
+    0xa6311821, 0x9fab9c92, 0x84f6e138, 0xa10b49b6, 0xfc653f0e, 0x88c167b7, 0xa35e0361, 0x1cb37a45,
+    0xfb3a1e9d, 0xe21bf9f9, 0xfb69c906, 0x35023e4e, 0x83158839, 0x9c950807, 0x793991bd, 0xce719626,
+    0xe71d0c1c, 0x8b5f2e3f, 0xe61cd977, 0x210cc8e2, 0x1a3542d2, 0xd23b4a81, 0x4561c885, 0x1380df8e,
+    0x1536dad8, 0x1aa15090, 0x93a93a06, 0x5425aab3, 0x7e55c1e3, 0x16d2a01c, 0x7bb38003, 0x787fb8ce,
+    0xd7213d2d, 0x1b588990, 0xde56d1cf, 0x5aa4e06a, 0xc088a9b5, 0x5adfbaf4, 0x0836ca61, 0x9db1b5fd,
+    0xb7461456, 0x86314b8e, 0x19ed9ef1, 0x6d79c9db, 0x9cdc0a58, 0x4e2d48fe, 0x9673f260, 0x662f8b24,
+    0x49ebeda6, 0x37ac26a9, 0x139d19bc, 0xff6ec4cf, 0x79a881ba, 0xedf37d42, 0x81a208a8, 0x429156c6,
+    0x2b26ab9f, 0x3d8b1a90, 0x4bcdb79f, 0x1bedf6d5, 0xb34560f2, 0xae76ab76, 0x27c7ad8e, 0xbc7cbc8f,
+    0x6d6f0fea, 0xf77df921, 0xfff68ac0, 0xd5940c7a, 0xc1f43105, 0x826cea90, 0x3f73ab8b, 0xe1be428c,
+    0x983b0ae4, 0x11ef8f87, 0xa555a98c, 0xbb3db677, 0x1e10c5e2, 0x1d7775d1, 0x03c90eb1, 0xe013f246,
+    0x2049088b, 0x8da40384, 0xaf1e73de, 0x3fd1f9c3, 0x041bdb84, 0x9a5b7449, 0x30f2e155, 0xce13529a,
+    0x2aaa75f3, 0x7c27eda0, 0x2820e8af, 0x18f35870, 0x5c95875c, 0x3c47eb91, 0x371cddb9, 0x7661aa62,
+    0x8f72d0ac, 0xcda173f2, 0x8eb8ceff, 0xef9d7099, 0x856b62dc, 0xa825a1aa, 0x408c44fc, 0x686d1fde,
+    0x593c934b, 0x2f7bc270, 0x5698e902, 0xa53ba452, 0x19c1796c, 0x5d96ec2c, 0xee72efd6, 0xc552afc1,
+    0x58aa5c23, 0x6a3e68ea, 0xf9922d11, 0x932ccd0a, 0x456d39b5, 0x486a757a, 0x65df4995, 0x8cd023ee,
+    0x5b38726f, 0xccb1be9b, 0xd38ff4a4, 0xa2c029ca, 0x8907cf74, 0x331aaf10, 0x32630423, 0x561c849b,
+    0xba80441e, 0x72244313, 0xf627828e, 0x6d143df0, 0xfe10bd5b, 0x5f53e4bf, 0xe6d3b48c, 0xf4980436,
+    0x0117aec7, 0xa7a69451, 0x1bcdf3f9, 0x37a5adcc, 0xadbf1508, 0x8ba04ff3, 0x7857ac65, 0x1c47ab43,
+    0xc8edd1a2, 0x32a03e60, 0x586cb901, 0x2244c285, 0x9282488f, 0x933840d5, 0x1c7ea0fe, 0x7005fb72,
+    0x814ecae2, 0xc09337f1, 0x6a69a14a, 0xc784a4e2, 0x3eb90cf3, 0xd2209d93, 0x766dd9cf, 0xfde6a259,
+    0x25b01130, 0xf868c15e, 0x838eab4d, 0x6ae7b1b3, 0xa273c3ff, 0x99f8e05f, 0x9449ec72, 0xd91f335f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000302231454903657293676544 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1972, 0x3a80db69,
+    0x00000000,
+    0x8191d131, 0x49e7e2f8, 0x2231b3a5, 0x64886e97, 0xda1f7d3f, 0xe4f2cf68, 0x0194f62a, 0x641657fb,
+    0xf39eeac4, 0x4b79c4e6, 0xe0cecf6b, 0xa65d792e, 0x209d7fbc, 0x29daa534, 0x4fef5cf7, 0xeaf63a4d,
+    0xe27b391a, 0x4d7d5017, 0xe13882b6, 0x6f562a26, 0x8b20fd4e, 0xd5687639, 0x13168d01, 0x35b43706,
+    0x583ae2d7, 0xa5b17b1a, 0xe711a714, 0x5ff44d6f, 0x20f21188, 0x9b6a29eb, 0xfa7139c1, 0x376a7bf6,
+    0xf57553dd, 0xfe65e595, 0x66a68fcd, 0xa469eb09, 0x64c19a73, 0x0f60e354, 0x2e999d77, 0xdbbdcd34,
+    0x5229faf5, 0xd95cbaba, 0x3545f1b9, 0xbd57940f, 0x441c24b0, 0x77e359c0, 0x20dfaa0a, 0xebdef2a8,
+    0xd257a615, 0xa61b8753, 0xd3cc28eb, 0xbe90e266, 0xc4f5ba7c, 0xbd332f62, 0x3f02e761, 0xa3fb5bda,
+    0xb8b9927a, 0x02babc95, 0x26c2bf46, 0xa37dd27c, 0x9d72f5cb, 0xdc9af9cb, 0x72cbc503, 0x10e2a9a2,
+    0x0e6ae702, 0xd8ca40b8, 0x22665832, 0x15d2cb9d, 0x4c5f0791, 0xf471eb6c, 0x695a2f6c, 0x19345f5a,
+    0xdbc2a8e3, 0xe93749d7, 0xb70827b1, 0xe5c83ef0, 0xcccff7a2, 0x1790d70c, 0x1c2f572b, 0x57c4ce51,
+    0xd4fe373b, 0x58bc961d, 0x244bee2e, 0x92f264de, 0xf5257d83, 0x89558c3e, 0xf9d9de41, 0xc8f7706f,
+    0xc515b6d0, 0xe0114afc, 0xac202438, 0xbaeb5362, 0xaa9c94c4, 0x162924b5, 0x2d3be3f9, 0x69fecc70,
+    0x5a6c0645, 0x924fd342, 0xd2724e58, 0xb15a2e2f, 0x2215385c, 0x3461e38f, 0x96e3d119, 0x091a0d6c,
+    0x9e15005a, 0xe2980a13, 0xf605fd71, 0xec5dcb43, 0x83a4300a, 0x2a2d7e6a, 0x1ce9f09b, 0x632f2198,
+    0x65d8402e, 0x9700a02e, 0xebcac82b, 0x4bdac78c, 0xff755136, 0x1d76460b, 0x21138451, 0xa87e7869,
+    0x4318cf58, 0x6bfd2b9f, 0x699b5c7e, 0xf6a72886, 0xc59077d8, 0x0e5080d9, 0x2d233bae, 0x75b40e1e,
+    0x13d9f705, 0x58604525, 0xa7ec3ee3, 0x65a31c6d, 0x3cfd944b, 0x92f9092b, 0x904efbcd, 0x2a489416,
+    0x8ee17daf, 0x10562309, 0x634bbf84, 0x9327c906, 0x3368f1cf, 0xc6cad896, 0xf6ee13b6, 0x55725eda,
+    0xd5554e8f, 0x431ecdcb, 0x3d6c75e9, 0x1d6154dc, 0xdf4ee53d, 0xa1838635, 0x77b573eb, 0xcb911144,
+    0x2333aa3e, 0xfe0a6022, 0x4b391f0d, 0x4f266a51, 0x6b402db0, 0xf60501dd, 0xb0251478, 0x985cf092,
+    0x667eabb6, 0xf0f5592a, 0x618afc32, 0xd3c8bfbe, 0xbcf795b8, 0x0d7e95ec, 0xe552d8ca, 0xfe2f2557,
+    0xc1f5e960, 0xbd1a0392, 0x19da79d2, 0x651c3d13, 0x0a2e3bbd, 0x78519f9f, 0x4faf4e82, 0x67e8c0ee,
+    0xfc90ba1b, 0x83e7ac20, 0x6f1fc84e, 0x2da2d1d4, 0xf6f8f841, 0xc93998eb, 0x20a9e9c1, 0xac6aab66,
+    0x683b3fde, 0xbd8754a0, 0x0cae1d01, 0x256f8997, 0x948f531b, 0x18d97f07, 0x8de1b2d0, 0x96c40f17,
+    0xb235d799, 0xac8bd7bb, 0x2bdf325f, 0xf6cce7c1, 0x3b56d4a2, 0xc710fe27, 0xc664cccb, 0x3670608d,
+    0xa861835a, 0xa4bf773b, 0x7344a830, 0x49f28f57, 0xada06a1e, 0x2ccf3f64, 0x9e71dce8, 0x9adec630,
+    0x3b16698a, 0x3c4e0b80, 0xb0abb238, 0xedf8594e, 0x49784e10, 0x51f82ff1, 0x4c1151a3, 0x73cbab16,
+    0xfa02752e, 0xbc4d2f86, 0x9f7d3297, 0xf6d14b67, 0x7e820274, 0x39cd5db0, 0x42c4d913, 0x34a68c55,
+    0x3ce1a2e9, 0x3da41ab9, 0xc78ec6c9, 0x20acbe26, 0xcd8a0259, 0x51656943, 0xba758301, 0x4d37a047,
+    0x61a3fe13, 0x02758baa, 0x65180ba8, 0x81d467df, 0x41052925, 0x7d191409, 0x673aecc9, 0xfa116f66,
+    0x2f99d291, 0x96757281, 0x112c4a97, 0x4e312b2c, 0xbb4e462c, 0x2ae27b96, 0xe9fb1a40, 0x07f68d1e,
+    0xaf55962a, 0x0bafc9d3, 0xb1fcd0da, 0x795498d9, 0x7db57a7e, 0xae0a1267, 0xdb0d1a04, 0x714c8172,
+    0x1cc76e2a, 0x3779a6c3, 0x7e739842, 0x277550a3, 0xb2b41340, 0x413f14b3, 0xb228fc20, 0xa529ba14,
+    0xa7374971, 0xe266ff3e, 0x2821a2fe, 0x44474074, 0xba75ba51, 0x06521abd, 0x610d5bec, 0x6e35dc96,
+    0xd6f8d369, 0xe3138802, 0xd0601eb7, 0xead304b4, 0x014b3f3c, 0x6cd94924, 0x43eb9fdd, 0xbc37b2b1,
+    0x61c24fb0, 0x6060ddd8, 0x351adc0f, 0x188aab94, 0x05ae6d90, 0xde0fa31c, 0x995f5498, 0x6d77d2e6,
+    0x146afcec, 0xa145808f, 0x67a05b62, 0x56d61412, 0x9ca74fd9, 0x02487129, 0xe6abaad8, 0x1ec03590,
+    0x9c363794, 0xd38b49ae, 0xf23b8609, 0xf92f3f2a, 0x7eb2f34c, 0xd80396dc, 0x804576f1, 0x28af37b2,
+    0xca5f3cfc, 0xbdbcde43, 0x6a058b8a, 0x6321b08a, 0x53b75d72, 0x11deeccd, 0x6d9a777c, 0x1501ad28,
+    0xf5530677, 0xbbad3068, 0xf730aca6, 0x02dd0f1d, 0x417d1fce, 0x8221be4d, 0x048c04a1, 0x1415294c,
+    0x3d4e0e89, 0x8ed544ff, 0x6f08b736, 0xe1e40488, 0xc07e4f4f, 0xbe5d0bfc, 0x5d904178, 0x573454b7,
+    0xa7198fa6, 0x0ee795f8, 0xa4ce24cf, 0x195bb67b, 0xddd821f2, 0x833db972, 0xf314aca2, 0xc2031a7c,
+    0x52079e29, 0x4f07b23b, 0x14d556f5, 0xd2d3809c, 0x94c86b42, 0x47d485da, 0xf5bf89c0, 0x33c5e3fc,
+    0x182251f4, 0xdb1e1c59, 0x6993a49b, 0x2241b71b, 0x7b8c0006, 0xb94e3198, 0x94be2700, 0x605e5c5c,
+    0xf89da4f3, 0xb52403a7, 0xc37c3b93, 0x362d67bb, 0x77236160, 0xd83aafc4, 0x9289d01d, 0xb59ceb1f,
+    0xa82fee0d, 0x09e642b0, 0x820ba13b, 0x695dc108, 0x303a66cb, 0xf55381f2, 0x1b2b500a, 0x3149f093,
+    0xda9dd71b, 0xf60c2a0e, 0x97f1e189, 0x567f37ca, 0x230711de, 0x0ce279b2, 0x08c3bfc5, 0xc57eeded,
+    0x04b5ecd3, 0xb0a9cfd3, 0x45fe22d8, 0xeef806a0, 0xb05a91c9, 0x192b6699, 0x5dc4c67c, 0x9456bf33,
+    0x5ffd37b2, 0xd08b6e42, 0xe0f6ae8c, 0xf445a589, 0xbfc4dd37, 0x01a71119, 0xf1840966, 0x571504cf,
+    0x60672110, 0x9a970a88, 0x85c81ab4, 0xf8f6866a, 0x87cf5c87, 0x8c5fc4ee, 0x6c35d744, 0x250e55dd,
+    0xfe576fe1, 0x073ee534, 0x76db08bb, 0xb8675192, 0x2b3f02a2, 0x3c603f0b, 0x20d89848, 0x6bb06d58,
+    0xe00a8a06, 0xcb24eecf, 0x00a20d25, 0xe77d5db7, 0xb696476f, 0x4d8ee41b, 0xf1f535a9, 0xe2750ddb,
+    0x99f8fc52, 0xd3ecbb81, 0xd9e1d398, 0x995836a9, 0x501bc11c, 0x1113aa65, 0xb0618cb0, 0x6f60cd9f,
+    0xb4c4c621, 0xc482f4bc, 0x2b550fd2, 0x31e32ef0, 0xaf841225, 0xb4e37b6e, 0xd0397337, 0xb58bed8f,
+    0xdb9ae839, 0xb2628209, 0x7ce2d6ef, 0x3cc1291f, 0x7010b1b3, 0xadcb3de1, 0x28da7ff8, 0x370bfb3f,
+    0x01f235ba, 0x1de97629, 0x999f7763, 0x1c3c399e, 0xb883becf, 0xa5371056, 0x7e34f271, 0x8fba2e30,
+    0x143cdc13, 0xcb380c94, 0xe0e0481b, 0xdf530291, 0x53bf6c0b, 0xc02bb9a3, 0x61a777e0, 0xa164e954,
+    0x3dfb37a5, 0x4f941931, 0x5d5aa64a, 0x75b187cf, 0x2c105fac, 0x90eaf1f3, 0xc01acbe0, 0x763318d0,
+    0x8c7e10d3, 0xdd938cbd, 0x7d1a192c, 0xc2f430c2, 0xc4fd3f85, 0xff13e2a0, 0x099ea208, 0xcfac2e83,
+    0xe11b5498, 0x63840ccd, 0xa9faf7fe, 0x1747af91, 0xd0a70e79, 0xe33a0eb7, 0x079e5641, 0x3249f668,
+    0x5545f1c9, 0xa34c23ba, 0x9097822a, 0xbbe9a83d, 0x59be7958, 0x9a513764, 0x34e696cf, 0xca4996cb,
+    0xa32ab90d, 0x1c4a1c1c, 0xdb4a5dec, 0xc99bfd45, 0x63f88a91, 0x270ec9a4, 0xc34bc6b0, 0xc510e1e1,
+    0xa58c8121, 0xaa2c7c94, 0x59b7900a, 0x22ec2ab7, 0x509f05fe, 0xd3510271, 0x8128f2b0, 0xc56ff2d5,
+    0xc04005c4, 0x144807d4, 0x97f77d61, 0x89d46f54, 0x1d28393e, 0xfdfe28a1, 0xf9fafac9, 0x90b1984c,
+    0x2496d502, 0x9c08e9d4, 0x3f8719e9, 0x5f637c1f, 0x7b18c037, 0x952b838f, 0xbf1982ab, 0xebc931d6,
+    0x24337319, 0x32050e71, 0x77590953, 0x4e90ae1d, 0x2f749e58, 0xb7a54525, 0x755614d1, 0xf7dea3c8,
+    0xbc51fd83, 0xd5ba13a9, 0x28203c54, 0xfe7948d0, 0xcf48d736, 0xefced585, 0xc1fac6c8, 0xf30ad6a7,
+    0x8ab825c7, 0x55e69bd7, 0xdde1773d, 0x5da6a3a5, 0x9954ffcc, 0x8b720049, 0x35b5a825, 0x6de6f85b,
+    0x9f8d508a, 0x002ade69, 0x9c7f5470, 0xdb8af120, 0xaabb0e5b, 0x94fd7947, 0x45b5264c, 0x861fcd21,
+    0x38cbb11b, 0x38f921fa, 0x9d4341c9, 0xff409300, 0x18525537, 0x6b0ea150, 0xff54518a, 0xbf862032,
+    0x5930dda2, 0xa2b867ed, 0x765f7c24, 0x90967d9a, 0x3e336131, 0xf46a3bbc, 0x2ea6c549, 0x511a1b4a,
+    0xfb010f06, 0xb97fb98b, 0x205a8801, 0xd0e045b7, 0x68f895ae, 0x75cd6129, 0x98979264, 0x2fa120ef,
+    0x7e65909e, 0x0ee3f650, 0x098222cc, 0x3b6b0764, 0x51f2f768, 0x2835f76a, 0x4a373791, 0xe86e367c,
+    0xe047732b, 0x4a00473c, 0x09f97f2c, 0xa0335229, 0xc2a3cb4a, 0xbd39ac1d, 0x1ff91ab4, 0x4d8cde42,
+    0xa6b8c739, 0xa6ad6624, 0x9ceb1499, 0x46c1b8c4, 0x23d8bddc, 0xe5a9dbe7, 0x51b138f2, 0x7c4ac685,
+    0xfe4b6169, 0xdeb9f6e2, 0x5356534c, 0x2397037d, 0x3a284b64, 0x7dcf7f75, 0xfa82c4e1, 0xf9b2067d,
+    0xe4c439a9, 0x46fcb84f, 0xa46dfe87, 0x8b4a6e8b, 0x5b42e192, 0x47f144af, 0xad27962a, 0x547ca655,
+    0x3111dfd1, 0x28a1d868, 0xdf64c4b9, 0x1b86e81f, 0xa92f1441, 0x37df5491, 0xd7960c81, 0xe6f07a75,
+    0xe4736c88, 0x1e708d3a, 0xa5b4dd74, 0x9914fc0d, 0x16c40bda, 0x72b8dd2f, 0x85a681c3, 0xfc351aae,
+    0x7514017d, 0x88251cc4, 0x3a1ac57e, 0x43c6e2ee, 0x938bd41f, 0xaa2f4518, 0x464284cf, 0x73792235,
+    0x3af6b3ac, 0x36c64c7f, 0x15592dcc, 0xcffcef7f, 0x887a7e11, 0xc8e56fb9, 0x794cc56a, 0x9c24e2e3,
+    0x9e8604f7, 0xe83abba6, 0x2c5f3aef, 0x375b3450, 0x0e2119b6, 0x89865d60, 0xba3a2869, 0x9bd7756b,
+    0x6bc338d5, 0x4ab6a722, 0x10ff2aa2, 0x37bfda9b, 0x7c68e8ea, 0xa54c701a, 0x61081ccc, 0x1f73ab92,
+    0xb3fc0901, 0xc4f783fe, 0x41af6321, 0x8e17857d, 0x32d5d075, 0x3d2a821d, 0x45df78c0, 0x17fee1a2,
+    0x206f6dd9, 0xfce1c4df, 0xf1ee4f74, 0x2436e9be, 0xa2c7257a, 0x97e4e3df, 0x2980fe00, 0xd60192d1,
+    0x79a1c139, 0x0709918e, 0x3d7819f0, 0x3e403b5b, 0x7cfcfde4, 0x43248f92, 0x8c51fdb5, 0x231b8a6d,
+    0xbdc52314, 0xa1883a90, 0x8c6e3713, 0x282f829a, 0x3bb03895, 0x519fd2c2, 0x18883d12, 0x5fb31be3,
+    0x0b0f4d3d, 0xcdc6b56c, 0xcebe64a3, 0x344adf59, 0x89cbce63, 0x8f60771a, 0xd45f5e08, 0x442fe025,
+    0x5241dcc3, 0xf85a4eea, 0x067597c1, 0x66139393, 0xd630aed4, 0x5becff72, 0x9ff0c525, 0xf44316a7,
+    0xa47abc0b, 0x3efa11df, 0xebd47181, 0x8f7a2efc, 0xb20723ef, 0xdab7ac7c, 0xc5e5847b, 0xbfcb2150,
+    0x3c7d8e4f, 0x794c8281, 0x8d3e82c6, 0x1a5b64c4, 0x1bc324b9, 0x242b01f1, 0x455f8151, 0x4470b52a,
+    0x4eeb373c, 0xef44ca47, 0x13a9448f, 0x4b687391, 0x1b2b6abe, 0xb6efd358, 0xb8bf3f10, 0x3fb988d3,
+    0xff233b3b, 0xf4d096e8, 0xd7ac5af0, 0x7c2a88d3, 0xcd8462d8, 0x9557a876, 0x771bddb5, 0x3ba995f7,
+    0x6e5c4b93, 0xa68ec82c, 0x8aeb725b, 0x699428d1, 0x51d127d7, 0x8296d585, 0xc44a85fd, 0x89814602,
+    0x9976762a, 0x7612241e, 0xc3356535, 0xc9999d3d, 0x8000dad9, 0x5e4828d9, 0x2a2d3550, 0xa7c14d63,
+    0xe1336158, 0x30903fbf, 0x6900398d, 0x42846ec0, 0xd1c9ea2d, 0xea08277d, 0xe0559f6d, 0x7d584c7e,
+    0x19eb2605, 0x25b8b7ee, 0x086cdb84, 0x09de1109, 0x9e927e86, 0x4a2692f6, 0xe4b1a916, 0x5706bf2e,
+    0x904c6a69, 0xc6a94520, 0x7719bb35, 0x583dd518, 0xa6f8d1c0, 0xb2a8f983, 0x027ca3f3, 0x4c614132,
+    0xe0c9ebb5, 0x6dba31c7, 0xf197529b, 0x899cce62, 0xf91c9149, 0xd95c8223, 0x1c46e665, 0x08c52a73,
+    0x336131d7, 0x6beb6cdf, 0xe01dc265, 0x43ad745e, 0xa0300f5e, 0x28c47743, 0xbaedca3a, 0xa1c1b422,
+    0x031aefb5, 0x2386830b, 0x64801798, 0x37f845b7, 0xb81dc909, 0x3c889e3b, 0xb43b4730, 0xffb08bf5,
+    0x14c2e945, 0x48f4ff64, 0x61f5baff, 0xb6af7808, 0x1cb9f1d8, 0x3d19ca39, 0x3b31f02b, 0x0fcae6f0,
+    0x5921458c, 0x236b0d31, 0x1c57aadd, 0x5da104c5, 0xe6934141, 0xd50c7709, 0x45915393, 0xc1e11465,
+    0x97b99ea9, 0xc3ab53da, 0xa57c18ee, 0x823e4e92, 0x414c0178, 0x16cf1efb, 0x6f102dd4, 0x128faa0f,
+    0x36da4b99, 0x788314e9, 0x68eb9b01, 0xa8b27b0f, 0x5a77b820, 0xdd922bd3, 0xf1227604, 0x3ba592a4,
+    0x47be14f5, 0xc9ba0382, 0x9164d9f9, 0x85207c55, 0xccdb9b83, 0x9b55891d, 0x2f7ba115, 0x1f60ed64,
+    0xe6d33129, 0x14705d01, 0x03e78d24, 0x9b3a67f9, 0x8a275f05, 0x91602120, 0x0d0b846d, 0x8c25c095,
+    0x97c4de1b, 0x37d741c0, 0x1674dfa8, 0x378fd1f6, 0xc6280db8, 0x6ffb1862, 0x3e823ca5, 0x4cbf5119,
+    0xd71d67af, 0xb987c7ee, 0xbbf2570c, 0x61fc223c, 0x3178cb68, 0x7523fd39, 0xf5faf42b, 0x22740ace,
+    0x9fdd9a9f, 0xa93567a1, 0x6a8ec71a, 0x0b7baa14, 0x13f6d240, 0x714a6f71, 0x9197502a, 0x889c01e3,
+    0xd2e06693, 0x374549ac, 0x343daf69, 0x9908a3ce, 0xf692e41b, 0x4cd9b11d, 0xec9ed499, 0xc4bab9ef,
+    0x5b23c498, 0xe3b7e09e, 0xa857c511, 0x9062a999, 0x4e36e60f, 0xbf00783c, 0x0772a8df, 0x05e4288b,
+    0x77d653bd, 0x4dbab732, 0x666680e5, 0x625966c3, 0x3d8aeade, 0xd7366166, 0xd2daf1cf, 0x29cb872c,
+    0xdefe974e, 0xde7f3e6c, 0x537e66d7, 0x04b26166, 0x6e392a6b, 0x2c41cdcc, 0x4d660632, 0xcb93509e,
+    0xbb696018, 0x4d7ac227, 0x4b90c903, 0xfb31de62, 0x0f117cc6, 0x61eb1cd5, 0xcd267780, 0x33068219,
+    0xc0c4def1, 0x2c6b1e61, 0x0b66782b, 0x76a66a40, 0x8a6d7929, 0x38c04144, 0xfebe703a, 0x580fb0c6,
+    0x01f35a6f, 0xc13de3dd, 0xb1248444, 0xb9c240b4, 0x0b4106f7, 0x779c7db5, 0x6de90d84, 0x5a939fd8,
+    0xcf2ef644, 0xd16310e4, 0xa2545e4c, 0x16336db3, 0x215e4dc9, 0x760cb5dc, 0x55ae7a58, 0xc4e4f375,
+    0xd7fcf332, 0x2f0b3bc7, 0x6f3db757, 0x0aca7781, 0x2df47259, 0xbfb6d716, 0xbe27a7dd, 0x15d2debc,
+    0x59f336d7, 0xc71d9f25, 0xa31524b8, 0xe52788c9, 0xbec0ef67, 0x13ea22d7, 0xf755e87f, 0x1aacd1e3,
+    0xc14b0e7d, 0x57494fd0, 0x5cf5918d, 0xb0391c15, 0x13baf1ae, 0x5949c2f5, 0x68d7d3ff, 0x5642e3d5,
+    0xd4ab252b, 0x5821ec53, 0x14e04775, 0x929ab09a, 0x2911ab8f, 0x5f0f424d, 0x587de078, 0x433e86ce,
+    0x41e78a18, 0x8395d054, 0x1fbf9bf0, 0xa70d7019, 0x952a525f, 0xee8da786, 0x532eb44e, 0x1b6b821c,
+    0x3a258ff8, 0xe0b66d85, 0x7dfb82ae, 0x7a7dd445, 0x8fabd4e5, 0x71899545, 0xafd09727, 0xacde5478,
+    0x5cbaa6e1, 0x17fb0531, 0xa88a188a, 0x1c8c351b, 0x2eab7b41, 0x5514793c, 0x5ceeaf4f, 0xeaa2fa03,
+    0x266062ae, 0x75b954e6, 0x993b909c, 0xbbc7ce6c, 0xf039dd77, 0x969d1d4b, 0x70eaed92, 0xd8766b19,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000151115727451828646838272 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb9, 0x1d406db4,
+    0x00000000,
+    0x80c84be1, 0xfd59e317, 0x3efad9af, 0x3ddc622b, 0xaf26eea9, 0x047fd81e, 0xcfc96b3a, 0x8308f905,
+    0xc0cf9bac, 0xb3445d96, 0xf3efa7c2, 0xe10cecfd, 0x76534eab, 0xcc8649ec, 0x72eee275, 0x070a80ca,
+    0x329e9793, 0xfd1c8a67, 0x3fbc11b5, 0x34c85d3c, 0xeb2bedc6, 0x81b90deb, 0x2e5a8529, 0x41dc3745,
+    0xc4da1d57, 0x8787b8dd, 0xc86d2a4f, 0xa1b9706e, 0x31fad7ea, 0xcd2f679c, 0x98684b33, 0x53b7dea0,
+    0x4abcba06, 0x6ab5f4a4, 0x5692ff8f, 0xcb6a86ab, 0xc5de57ba, 0x428528fa, 0x7d8ba696, 0x4f93c8e9,
+    0x33ace031, 0x8def9d01, 0xa69eb818, 0x31c71da3, 0xb97cd5dc, 0x5c60a3d8, 0x9a2614a3, 0x8068649c,
+    0xddc6340b, 0x2a8dddc9, 0xd65070a4, 0x5fd3d6c4, 0xc5d9ef1d, 0xe41b0bd1, 0x7a14bc73, 0xa0e276bb,
+    0x4cc90fba, 0x815cee45, 0x01c3857a, 0x830ea507, 0xa62a99c4, 0x8a034290, 0x11e63657, 0x24d791f2,
+    0x234aca8a, 0xaf45bcbb, 0xcfc03fa3, 0x946c5a3a, 0x501dbd28, 0xcdc509be, 0xb54ff247, 0x849112f7,
+    0x41324fff, 0xe795d440, 0xf4e318f1, 0xdcec83be, 0xeaed2457, 0x2e191560, 0x063b695a, 0x433c3c66,
+    0x8511e603, 0xc3c86ae1, 0x56f9190b, 0xbb2426f3, 0x14eb9f57, 0x8100f9b5, 0x33a4b7bb, 0xd8560d61,
+    0xee900e92, 0x05c99f8c, 0x72b8eeaf, 0x4e65f198, 0xb5c66830, 0x14fc1427, 0x9700feff, 0x3174143a,
+    0x8ac86cb7, 0xe47b442b, 0xe4a619f1, 0x6c5589dc, 0xbd4bb1ad, 0x75f4b798, 0xccf902d8, 0x8d5d8573,
+    0xc49e00e5, 0x0347a134, 0x5d80c7e7, 0xf899fd64, 0x8fc0cb54, 0x8bfb13e5, 0x39eb4d35, 0x5c341d89,
+    0x5367bce0, 0x7cc3b16d, 0x1a30ebc4, 0xf19696a1, 0xb3edcb42, 0xf2695a63, 0x8283e34d, 0x903a6fd8,
+    0x63c09abc, 0xab186f60, 0xb1e4e796, 0xdd06d1a9, 0x8acd727c, 0x1d4090fd, 0xa04e8bbe, 0x9e449a5f,
+    0x4fb6fb80, 0xd8977e65, 0xe66d1ce2, 0x01bd428d, 0xd5831b43, 0xc8d2c4bf, 0xb7907ca9, 0x39b5f952,
+    0x45e72335, 0x8241ba17, 0x3fa70e03, 0xf415dfc6, 0xb7da0d8d, 0xdb4e0c3c, 0x515efc98, 0x5535fa1a,
+    0xbce5ed09, 0x9973683f, 0x330b0de6, 0x0db69674, 0x78e45092, 0x873cc1b4, 0x9ceb6ab6, 0x07c53f47,
+    0x5c48b853, 0x3cb34f12, 0xe98dad5a, 0xb7beb19d, 0xd4f7c366, 0x57439f9f, 0x264d8427, 0xf9b637dc,
+    0xe210c246, 0xeb5308a2, 0xc391f531, 0xdce2e3ef, 0xbf373cb2, 0x3337b157, 0xc8742e58, 0x8df1e37b,
+    0x522b004a, 0x640a111c, 0xc8b61eb7, 0xcbe110f9, 0xb90fa0f3, 0xe28c72ec, 0xdf7520c9, 0xa5d75679,
+    0x2760a5e0, 0x0f96d5a6, 0x4894df98, 0xa82cb5c2, 0xb7b7530d, 0xbeaca5b7, 0xed57cb23, 0xd5d00bca,
+    0xa9e43512, 0xde334198, 0xc5b56756, 0x0f7d0597, 0x114bb619, 0x562b0aa1, 0x91b15ae0, 0x149ab8ca,
+    0x993e16a4, 0x08c34468, 0x679a132e, 0xab9e1eba, 0x128648ae, 0x520deb9e, 0xd864447a, 0x0076ac49,
+    0x4442614b, 0xa3c3023a, 0xa767c327, 0x32c20358, 0xd9daef6c, 0xb0c39935, 0x7b930c29, 0x69ca77d4,
+    0x1075075d, 0x4f9553ea, 0xea6a433b, 0xb33e9ccd, 0x3e643ee8, 0x0774998b, 0x42622ac0, 0xe7c9ffb8,
+    0x10ae49dc, 0x918a9360, 0x8abcd84a, 0x8f2465a8, 0x853f3031, 0xec4618d3, 0x5f159f37, 0xf356b85c,
+    0xac77faeb, 0xf42843df, 0x3a00c4be, 0xbc9f45f9, 0x2a3e0a8a, 0xd8a62ce7, 0xa1d6c3d1, 0x0b90b033,
+    0x438e69f4, 0x94f3e6b6, 0xb70ac988, 0xa6eeda94, 0x34964d7f, 0x02c61430, 0x202e36b2, 0x6ca5d8bb,
+    0xcd23175d, 0x557a5c96, 0x613f9cfd, 0xacbf3274, 0x43c0eb96, 0x33c9b163, 0x03d53edc, 0x9ce28280,
+    0x537f574a, 0x1d82345e, 0xce201c57, 0xe503f2b0, 0xe0f49417, 0x6577ef4c, 0xf3b82b43, 0x8d0f5252,
+    0xec92a808, 0xfc3fbdb1, 0xb633079e, 0xdac01064, 0x90168ad0, 0x30ff9dac, 0xb6d5a1f8, 0x3bd72e05,
+    0x83f2af5a, 0x01869ed6, 0x6043cadf, 0x98f31d50, 0xf471b651, 0xd0ea561d, 0xfcceef44, 0xe810d33a,
+    0xca66d653, 0x546d4395, 0xeccca576, 0x174c06b2, 0x124437b3, 0x9345fd85, 0x9b671446, 0xad04d4cf,
+    0xa7d2bc47, 0x28c8cc1d, 0x744aaa19, 0x5f1bc2f9, 0xc2f4bc62, 0xac4c9ff8, 0x7b10bc0f, 0xfe7dd8e2,
+    0xadc2c7f3, 0x0775f062, 0x0930cb65, 0x03c9c7c7, 0xa2f6923e, 0x5c8c2f24, 0x545e4cb5, 0x88c12583,
+    0x4db91ea6, 0xa11a4fb9, 0xdedab06c, 0x8e4d2414, 0x68477fc5, 0x1c662d94, 0x7b2c00eb, 0x54cc7e66,
+    0x7fe03d56, 0x391da770, 0xb7ecf4eb, 0x02f3d2be, 0x874cecb5, 0x8f806894, 0xf97efeff, 0x8c99cc7b,
+    0xa4d80f46, 0xdf68630b, 0x3df02140, 0x3330bbc3, 0x8c279eb5, 0x12b0af39, 0x3b172d0b, 0xdda0a000,
+    0xfe679b16, 0x0384b588, 0x6e4d1fb8, 0xa62137df, 0xf4376a02, 0x20f4bf73, 0x7df7614f, 0x611328c1,
+    0x7148cb5e, 0x1fad717c, 0x1fd3554d, 0xc55addfd, 0xd3f8e060, 0xa903b4bc, 0x13615f11, 0xd3b5a19f,
+    0x9b87d6ad, 0x4bfee1e3, 0x34accc94, 0x598635f1, 0xf4a72b23, 0xce32c223, 0xf41be37b, 0xdf95c2e1,
+    0xd355c079, 0x4b167b56, 0x13248ae3, 0x301d9a6c, 0x02f55dad, 0x82655054, 0x54df0f25, 0x71ba3a1b,
+    0x12e6de87, 0x3c40344a, 0xcf62ea57, 0xacbac582, 0xecc3c8e3, 0xb0370ca9, 0xeffc4daa, 0x1cea29ae,
+    0xc9d0883f, 0x604e6021, 0x1ca10a79, 0x9d57452e, 0xa3dc9ca2, 0x12276672, 0xa811fe3b, 0x32bb8283,
+    0x6ad3c87b, 0xadc1393b, 0x55549f60, 0xf677f2be, 0x5705d269, 0x103fa781, 0x196cf5ea, 0xc3277751,
+    0x18a8fff0, 0x6abfc974, 0xd72f9e21, 0x92ad690e, 0x8626aaa4, 0x6628e9d3, 0x85f19994, 0xbc55e61f,
+    0xcc5d3536, 0x144252fd, 0x3d7464bb, 0x7fbeb635, 0x60d758f8, 0x0ea06f09, 0x73a2915c, 0x1991f194,
+    0x6072b5e3, 0x450f7767, 0xe59cfb7d, 0x34a3658b, 0x44bea93e, 0x661b6c94, 0x3e1830a0, 0x80bfbeb5,
+    0xde0a616f, 0x1fc42003, 0x4d1b6edf, 0x0513a264, 0x487bae3f, 0x4f915b13, 0x4b65f039, 0x9e9923f3,
+    0x3f4da745, 0x8e3a8db7, 0x8ed6026c, 0x272b6db4, 0x25f9d340, 0x7ae4bc2b, 0x7075b41d, 0xf2a202a1,
+    0xb0e28305, 0x0438c695, 0xc1d59bd3, 0xf744ef7f, 0xa0c535c9, 0x1683eb02, 0xbd3537d0, 0x78b74985,
+    0x332b0cd5, 0x2fb84e57, 0xe03d1206, 0x376284f3, 0x34ff2d9e, 0x65e5a81d, 0xa55ce157, 0x8758184e,
+    0x64c70fad, 0xc06a9da2, 0x241b2bab, 0xa66de190, 0x7c1eed12, 0xe802d47c, 0xdeb1582b, 0x45c18218,
+    0x4c27d548, 0xa839e777, 0xfef79796, 0x000cedbf, 0x03c0c6a4, 0x8112985f, 0x2283c400, 0x5989e05f,
+    0x090c4cee, 0xeadc955b, 0xf287690a, 0x8da67c4e, 0x5549013b, 0xce679bc7, 0x8517b94f, 0x8208b94c,
+    0xb115153d, 0x10a89e91, 0x02427b40, 0x4446cd8d, 0x598a077d, 0xbd2b8b32, 0xaa867007, 0xb3d94764,
+    0xeb60f310, 0x69f792de, 0xe1921954, 0x00d1d437, 0x604bd461, 0xbba23ee4, 0x6ce0628e, 0x6513e7cf,
+    0x900f2469, 0x08c9caea, 0x9a5b61d8, 0x6eec1a15, 0x3ffb3753, 0x61b20319, 0xbebe1acd, 0x9b546bbe,
+    0x63eeb1e3, 0x3d8732ec, 0xbb862ba6, 0x7d7cb968, 0xe2cfc817, 0x78cc6164, 0x69076e46, 0x3fb253a5,
+    0xc74285c3, 0x09cb3e54, 0x2dd8bb55, 0xcec0f66c, 0x48ad9843, 0x2979a6be, 0x5dd7c221, 0x6eeaac2b,
+    0xd5785f79, 0x84cea99c, 0x167922ad, 0xbe58dc32, 0x567203ab, 0x1ac47f4a, 0xc8be50b9, 0x3a46b9af,
+    0x84775b39, 0xc94710b0, 0x5b029df3, 0x81496c1e, 0x82d922be, 0x2bbda814, 0x2ba67648, 0x35c072aa,
+    0xd7413b2d, 0xca452bf1, 0x5352b3db, 0x96f1901c, 0x73c315a2, 0xb156a18a, 0x30dcd0f8, 0x6b908817,
+    0x76629b68, 0xa387f314, 0xd6ae19c9, 0x133ad6fb, 0x5b0db9ed, 0x85a25a17, 0x689ddbde, 0xb73cfcb0,
+    0xe334ad6b, 0xae794472, 0x3b7858e8, 0x73b024c4, 0xe5224804, 0xeb5e0810, 0xf304bb32, 0xa6f08ed6,
+    0x320a4f17, 0xd0d13608, 0x6fae4437, 0xcf089851, 0xb912a477, 0x1501f0ed, 0x8b07c539, 0x7ed4ee69,
+    0x09e90a76, 0x0faa36b6, 0x2a3f11d8, 0xef7cb91c, 0x2ca13b30, 0x3e7d994a, 0x2c888313, 0xc09bbec6,
+    0x17967da7, 0x8872d48a, 0x35a96599, 0x3ebba2cf, 0x0c45a3f1, 0x5045c043, 0x02501d66, 0x2f426ba5,
+    0x717f5a05, 0x5ed7743d, 0x773cf729, 0xe93b6b61, 0xef8d3cf8, 0xb0c15ea4, 0xc321e601, 0xb59ad35d,
+    0x52c0f598, 0xad560028, 0x0f081bb3, 0xe7885a78, 0xe91f488c, 0xc8d94cdb, 0x10532fbf, 0x07a169f8,
+    0x963373a9, 0x872a589d, 0x1e8e4297, 0xdfd5df13, 0x70a34e57, 0x54ab34af, 0xa60276d6, 0xef7f637f,
+    0x9477ad40, 0x756f0d56, 0x64797513, 0xd215b4c2, 0x42e9df0f, 0x1add4340, 0x27483b9f, 0x3326d506,
+    0x255cb16d, 0xf2f91c81, 0x8ac76b4a, 0x1594a58a, 0x27347b82, 0xbbdb916d, 0xc4a3777f, 0x4acc3f32,
+    0xe3f86251, 0x796749c8, 0xdc94b0cf, 0xe1b8c075, 0x1f582379, 0xf174808c, 0x8348cc10, 0xd33d213b,
+    0x2c90b932, 0x7b3c3f8f, 0xb6620cb9, 0xdc2ba6ee, 0xc254bf04, 0x894a7006, 0xdc02379b, 0x3460b04b,
+    0x9909cd58, 0x783d893e, 0xaaed66cc, 0x6f2d422f, 0x31c6c032, 0xf92b1457, 0xf27cfa75, 0x9d4188e0,
+    0x3c79f684, 0xf63d6629, 0x76772a0a, 0xb2babc0e, 0x9d45a29f, 0x2e2558e1, 0xf167a223, 0x6d314f7e,
+    0xbaeb2e9a, 0xd5ced767, 0x74790308, 0x3c334a61, 0xe4ec16ea, 0x52a0e2ab, 0xd9fcdb1d, 0x14143469,
+    0x3d3fd1c6, 0x37380c3e, 0xd7c01ead, 0x56e800a4, 0x1f37cd93, 0xa5e9d53c, 0x01e68cf7, 0x5c7e3535,
+    0xcd9062c2, 0xc8344d8d, 0xac86317a, 0x9aa0d5f3, 0xc091148b, 0x742e46b4, 0x5f9354cc, 0x1676dba2,
+    0xfaa1a5a4, 0xab37c750, 0xb49bbbe8, 0x2344bdf0, 0x687bd599, 0x83364a70, 0xb7fa05c0, 0x22478b82,
+    0x1491a530, 0x38af9e99, 0x9d482395, 0x2d2b6585, 0x0b19218e, 0x2cd7cc15, 0xfd43f1d6, 0x8d7994f2,
+    0x147bcd08, 0x8150bc91, 0x7c66cf28, 0xa5e4251e, 0xc3b44872, 0x35303f96, 0x33792739, 0x2de99552,
+    0xc2a184bc, 0x55c6c7a5, 0x06b46938, 0x6feeb7d7, 0x36caba72, 0x2a59effe, 0x92762e0b, 0x3a1e5d5d,
+    0x934a7d21, 0x38c849fc, 0xafbf72ee, 0x86a19adf, 0x8601cf6a, 0x00da1ed2, 0x386dc3bb, 0x4a42abb0,
+    0xc64166e9, 0xb1e87723, 0xf00bb3c9, 0xea09dcef, 0x0dec427b, 0x8283c8da, 0x25ab3bb9, 0xc6209249,
+    0x2d58b6cf, 0x31dbef49, 0xe4fb462c, 0x365cd4f1, 0x33710f54, 0xd25a0c21, 0x91645d07, 0xd809b736,
+    0x9e5b3ea6, 0xe081a171, 0xd835192f, 0x918ba8b8, 0x69a96a98, 0x275d22c4, 0x96f6e4a6, 0x8efac1bd,
+    0x54426b0c, 0x6ca9f221, 0x46354145, 0x8647f269, 0xad2f8084, 0x8dfa4a42, 0x8b5a31e0, 0xf97e33b5,
+    0x962d33ec, 0x6892a3c7, 0x47acd7fa, 0x73d980a8, 0x93842965, 0xd3059f92, 0x5f6eb9bb, 0xc145bad6,
+    0x8514479a, 0xff02c2e3, 0xf07c1c1b, 0xbab13092, 0x8c2d5441, 0x9336352a, 0x63271619, 0x0b441850,
+    0x83d667d5, 0x781d37b0, 0xb3f392c1, 0x5b1bcc79, 0x392d4f55, 0x7e97349b, 0x3e7d570e, 0x504fcff2,
+    0x5f727e99, 0x297f32e2, 0x1072ee16, 0x75fe8145, 0x25c18a5f, 0x3d0723a8, 0x5554814a, 0x4837125c,
+    0xd2fca2ab, 0x405eaae3, 0x37217fb3, 0xf74e8f4b, 0x25b0df69, 0x45ad71dd, 0x46405e28, 0xa3d4aae5,
+    0xf0afb20d, 0x9315c88e, 0x0a948ca1, 0xf99ae492, 0x40f57023, 0x18cd0297, 0x6b33602b, 0x3753a629,
+    0xf29b61fc, 0x4a05e81b, 0x624da06e, 0xd6ccd6c9, 0x440227ff, 0xaa0737b7, 0x25d1821f, 0xa31f56ab,
+    0xdcbb5dc2, 0x0028b4b2, 0x68f89d19, 0x40650d68, 0x98982e4b, 0x73ad3589, 0x65584b01, 0x354fadb4,
+    0x5b68966b, 0x4b653317, 0x63c746c5, 0x06d2d0b7, 0x0b6b2637, 0x2f06e85a, 0xf6a09e6e, 0x015842ec,
+    0x85e2241f, 0x6dfa3ae5, 0xa36e7f9a, 0xb8470ccb, 0xef7c2e5d, 0x2950185a, 0x1198b274, 0x4d253ce3,
+    0xfdede6c7, 0x54ad0204, 0xc106a41e, 0x766c0d99, 0x424bfb77, 0x1ef67450, 0x100abd9c, 0x8a194e69,
+    0x1c348fb4, 0xc7eeeaa1, 0x00bf3b7d, 0x3d63acdf, 0xc506e2af, 0x5902e56e, 0xc96f5f1e, 0x2d033409,
+    0x44b5a7c3, 0x355ce102, 0x87c300ec, 0xfd05c3d7, 0xf9aa1c44, 0x723cee77, 0x43f61e79, 0x48cfc534,
+    0xb5949f53, 0x03e9cae8, 0x1c5a8d74, 0x2339712a, 0xd8e4d3e9, 0x11e7f2fe, 0xd45c049d, 0xa1d41b24,
+    0x44c26c05, 0xe499d578, 0xd883d859, 0x8e22cb6d, 0x51def487, 0xabc71890, 0xd25f459c, 0xeabc0077,
+    0xe5c86d60, 0xf96989bf, 0xc0f2b9a5, 0x05dfbac7, 0xd46c706b, 0x200e8989, 0x2feac5e5, 0x510a144d,
+    0x33bcde1a, 0xb3cb42c2, 0xbd93a2a2, 0xd337daaa, 0xcc39dcf5, 0xc0977dbf, 0x8dca01bb, 0x9923b73b,
+    0xce52ce65, 0x7b3d1346, 0xaa92e68e, 0x906c7382, 0x5bf1e3c2, 0x47df72b3, 0x9f24bafe, 0xf22af4be,
+    0x86a756df, 0x94f9405a, 0x560b23bc, 0x2de3a83c, 0xfa344bff, 0xb40802ad, 0xa24739a5, 0x2669f35d,
+    0x0749c6d1, 0x89203ad7, 0x1ab60e8a, 0x3aeb7baf, 0x9cf441cf, 0xfd13049f, 0xe7a8917a, 0x89609eb7,
+    0xecefdf30, 0x2f4c8d9f, 0x0d8df0e9, 0x2871edef, 0x726fa4c2, 0x5e7bbd6c, 0x8dc59851, 0x3a8243c9,
+    0x3f782217, 0x46106086, 0x7f272412, 0xadd0679e, 0x091dae2b, 0x4f00d50d, 0x3424ab94, 0x56ddbba5,
+    0x08e9eeb1, 0x7c925937, 0xf5af161a, 0x10adab82, 0x911c8103, 0x10ad5609, 0x72736983, 0xa315703c,
+    0x574a6021, 0xd3048997, 0xff4e7a10, 0x873d3b22, 0xcde2764b, 0xf3618204, 0x63467ace, 0xa422a160,
+    0x48e56ae0, 0xed41ffee, 0x95294964, 0x4a04a15d, 0x9ff2e67e, 0x594a34c0, 0xad221c6e, 0x8f6dee5c,
+    0x324f62f5, 0x3d036315, 0x8363285f, 0x5068105a, 0xa237e056, 0x48b99998, 0xd21eb775, 0x3b8f8866,
+    0x96e0c3e7, 0xa26317b1, 0x6433d2ea, 0x5bfa1690, 0xc44d6279, 0x6d71b13d, 0x5f81072a, 0x43fa1dfe,
+    0x533e42ca, 0xb7ac15ff, 0x5d7750ea, 0xf282b0ca, 0xefe0aa0f, 0x62a12a78, 0x10fb09b8, 0x3c401d84,
+    0x87475f5b, 0xa30a4f51, 0x214dd6ee, 0x071fb921, 0xea209b85, 0x65047ffd, 0x5177b237, 0x9d64dde0,
+    0x594e7088, 0xcdd06d71, 0x25cb723d, 0x1b1c7385, 0x7ac6f1e7, 0xdae059ef, 0x79f10dcc, 0x6ad91513,
+    0x9ab638b6, 0x74ded710, 0x2a314cfe, 0x8794bc30, 0x75cff7e6, 0x7304f2ec, 0x45511d88, 0xf6d8e207,
+    0xa929f6f1, 0x116c7297, 0x5c9bdf0d, 0x23d8f9fc, 0x0593a3e5, 0xac298683, 0x77e5f611, 0x7ee90c25,
+    0x7e20ce55, 0x3d34f9e4, 0xb62ec6ae, 0x3809b6e4, 0x0c6f51e2, 0xe3b1060b, 0x712dd352, 0x3158c4bc,
+    0xf1947fa2, 0x86308fab, 0xc8ca3ad0, 0x9405b24e, 0xe59c8a15, 0xd2be7f28, 0x417bf63f, 0xf1178471,
+    0x12db41fc, 0x16e41ea1, 0x0972e123, 0xef9db799, 0x18fb97e8, 0xd1d08a65, 0xf13d5a54, 0x465045af,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000075557863725914323419136 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865c, 0x8ea036d9,
+    0x00000000,
+    0xb5925d7d, 0x53a160d0, 0x782d102d, 0xad6e72eb, 0xff3c7a49, 0xf5119aec, 0x58ced27e, 0x1a220bb5,
+    0x3c9d3b29, 0xd7b70822, 0x024c7a57, 0x14b03fec, 0xbc178b94, 0x5f37ac0f, 0x72933f87, 0x137be11a,
+    0xd7ec1d30, 0x48ac661e, 0x19b9ad0b, 0x0d97a34f, 0x1a477efd, 0xe0dd929e, 0x19047802, 0xfd2f73ec,
+    0xa84dcbcb, 0x22a7fbd1, 0xf4aee125, 0x62f85286, 0x2d098eb1, 0x87a305b9, 0x7ee1d400, 0x11a678f0,
+    0x8c0a7bcf, 0x7df5c2ed, 0xb0835c62, 0xc9fb7493, 0xf230f90d, 0x775756a9, 0xabaf10f7, 0x8a298949,
+    0x61430528, 0x24c9ecaf, 0x4bfae571, 0xdd3ab597, 0xf4a9f6e9, 0xea6e55cb, 0xabb74aa0, 0xe2c38cf3,
+    0xb44a6356, 0xe0073018, 0xa9d79c74, 0xdd459e6a, 0x6736cbd8, 0x922a77fa, 0x3b88d9ba, 0x76b5adb6,
+    0xc045982a, 0x7b725558, 0x8d62572e, 0xa7ea0765, 0x585cd9f4, 0x10054482, 0x573a2060, 0xc6516b81,
+    0xdce9fd04, 0xfc4c101d, 0xa463981f, 0xefbe4203, 0x5f8b5aea, 0x13f816d6, 0x5a8943b2, 0xf9da0b49,
+    0xfc12f05f, 0x5c7b471c, 0xf2ddba58, 0x7db9cc46, 0x55357497, 0x1dc0f420, 0x1e866d80, 0x549555b1,
+    0x93d94b57, 0xb3cd8d3b, 0xf9720c8d, 0x7ce8fc54, 0x1587e44c, 0x93ba2c16, 0xc1105b04, 0x84584f7b,
+    0x07e3cf5a, 0x5072be01, 0xc7349b81, 0x9d8c25dc, 0xd13523a7, 0x66710aa0, 0x19faa8a6, 0x6caa0ecf,
+    0x89b8e90b, 0x5e36e156, 0xc773a4ad, 0x3d7718d8, 0xbc94a19a, 0x614b25ee, 0xe79fa7bb, 0x71377cd8,
+    0x31440199, 0x7430e55b, 0x49b831b9, 0xeeb84967, 0x63859ec4, 0xec93e650, 0xef85886d, 0x7d274555,
+    0x1bc8c752, 0x0c9d610b, 0xe77f0dd7, 0x52a97d9e, 0x173d9ec7, 0xd53393a8, 0xab6558cf, 0x0dabb874,
+    0x4ab21ee6, 0x79da1910, 0x9fc24c05, 0x46196b8b, 0x8f2d8393, 0x9c3e5d38, 0x640874dc, 0x67e21d3e,
+    0x4c509a90, 0xdf092bc7, 0xbbdd1555, 0x3091629c, 0x3bb8518c, 0xc65dcdb9, 0x33f8b18c, 0x99307723,
+    0xdeb32d83, 0x2527d391, 0x771330ef, 0xd14810ec, 0xf9cb65db, 0x3c890c78, 0x01a47886, 0x685c916a,
+    0x912e426e, 0x8a7ed88a, 0x4bbda7b6, 0xfaa4a61a, 0x40e60516, 0x264a1821, 0x8ee65b54, 0xcdd4c218,
+    0x50340446, 0xe0f72ad0, 0x6aa024c9, 0x5f71533d, 0x400e88fe, 0x0ccfca1a, 0x950e18e2, 0x45fd138f,
+    0xbf5623d8, 0x1055ecb0, 0x1317cb64, 0x9f14279e, 0xb05b757f, 0xdcfe4249, 0xcdfc1b15, 0xdc68786c,
+    0xf9b32a64, 0x772c3bd0, 0x2dfad46d, 0x2bf52d65, 0xeea781e4, 0x9a61fd07, 0x6aec541e, 0x8fe5682b,
+    0x7c4a08f1, 0xc1e05aa0, 0xe11b1dff, 0xa1881fbe, 0x2d4c6844, 0x1cf68b4a, 0x845782ff, 0x3f8b21cc,
+    0x46bc829d, 0x8a4e1ff3, 0xc50616a9, 0x3c69185a, 0x7b50ddea, 0xb8a1f5c9, 0xf7feefc2, 0x2f68b3b5,
+    0x37a48930, 0xcb3934a1, 0x40f55ad6, 0x188075a9, 0xf0dbf24d, 0xa1a5317d, 0xea884c25, 0x6bbf9ab3,
+    0x2ba4fded, 0x2a976890, 0xb9c024ab, 0x2fd7b5b8, 0x3c0f7f94, 0xc8ab0c60, 0x3ea63166, 0xa78adfd4,
+    0x69dcbadb, 0x150e0d8f, 0xe1a49f3f, 0x60509df0, 0x77a6553b, 0x5d637b77, 0xf9fd35d9, 0x0f827cb0,
+    0x11a6fba7, 0x61100e1a, 0xfd24b315, 0xaf919469, 0x684b1be0, 0x23c4152c, 0xfa33afc4, 0x65234857,
+    0x0f7359ae, 0xf3fbd5cd, 0x410b6276, 0xf8e4c167, 0xdb6904fa, 0xdd6bf006, 0xa92ef1a7, 0xe4fa1a22,
+    0x0d0ba900, 0x8a8359c5, 0xc927a8bf, 0xae9fc667, 0xc7b88545, 0xe07ec307, 0x0bd76c05, 0xbf472ed9,
+    0x419dbf5a, 0x0a8c5897, 0x20072424, 0x07dda754, 0xf0538a34, 0x183bae75, 0x0ccb8267, 0x6b705fa3,
+    0xd5312541, 0x21e788f2, 0x1418ffe4, 0xba946341, 0x68e308b0, 0x4da3f750, 0xc359794d, 0xa85d8643,
+    0x3bf2d82f, 0x7d002813, 0x1ea63f0a, 0x03a9329a, 0xa11d51fc, 0x7d21bef2, 0x3fca41a6, 0x2eb73d6d,
+    0xc750fc75, 0x6de5b56a, 0x3f2c2e2e, 0xe1c8b1b8, 0x8e3a12e5, 0x6083f455, 0x1445ce6c, 0xf62a309b,
+    0x0cea6159, 0x0e4203ff, 0xd2dc1d98, 0x5fd9d079, 0xa56b0e75, 0xc3706568, 0x7438f49a, 0x257b6f79,
+    0xbada137c, 0x9f6f9988, 0x4dc7974c, 0x4bd20345, 0x52ecf668, 0x5fad0b8c, 0x90ad8b22, 0xdd26249a,
+    0xdbea1130, 0x73cfa382, 0xdf5f3417, 0xa78ccd16, 0x6e2b44cc, 0x7f39773c, 0xf934bc3b, 0xaf593502,
+    0xc1121d3c, 0x19649b2c, 0x0437511d, 0xc3407b77, 0x3eafeb48, 0x597616ba, 0x8dfa6b99, 0x04f3b5de,
+    0xd9f22720, 0x7f2d8c5f, 0xcead3c99, 0xe91b3d18, 0x221306dc, 0x714cd0b6, 0x0c830f54, 0xf051a7bf,
+    0x51e74c95, 0x1884e527, 0x562b4473, 0x35885d77, 0x1c381de0, 0x2314f1a0, 0x3b313a09, 0xf032d7a6,
+    0xf26e6848, 0xd3061e9c, 0x6796c87d, 0x4df4a5cd, 0x3d099cd1, 0xeeb81c49, 0x3565dd6d, 0xaa1fcfdc,
+    0x822dd2bf, 0x5e833c29, 0x77753a6b, 0x1344eb29, 0x4f824e31, 0x6d82260d, 0xd936e61e, 0xa7d6533e,
+    0x22b37d01, 0x0d980ec8, 0xff530284, 0x87acc7ab, 0x82c81ae0, 0x7514c802, 0xe7fd0a05, 0x279fb91b,
+    0x109940d4, 0xa9af5319, 0x61fc9a4b, 0x4ba5be93, 0x1bcf9276, 0x3ade69a8, 0x157cf2fb, 0x8faa14e9,
+    0x663484a4, 0xa49f7e04, 0x6b613f15, 0x93e9ee01, 0x64e958a3, 0xd48f1013, 0xa46acf64, 0xc3936d7e,
+    0x6fd56ad2, 0x67d19fda, 0x7b9c7678, 0x9a5f6b86, 0x7c8eb0eb, 0x599ec7fd, 0xa7ba4462, 0xff2b29f3,
+    0xfc53b3c1, 0xda221287, 0x55c8c371, 0x193cec2a, 0x67bc8427, 0x50853f57, 0xff79c64e, 0x213b79a0,
+    0x6841ca27, 0x528e4a4c, 0x85f388f1, 0x0881188a, 0xe1f13265, 0xda5b34d4, 0xa4296b5b, 0x9aa262e6,
+    0xfad36744, 0x7f92d976, 0xfcf985bf, 0xc88cf34d, 0x1016ffbe, 0x20da9ca2, 0xb40b4e9f, 0xaf4be299,
+    0x10985353, 0xeb05be96, 0xc982962d, 0x87a78fbc, 0x5cd8c226, 0xcdffb1a5, 0xba06fdd8, 0x0c940edb,
+    0x33360cfa, 0x84237e12, 0x9eb46d9e, 0x8040663c, 0x9abe49aa, 0x3110b78d, 0x0fa21e9f, 0xa28cecfe,
+    0x22dfd400, 0xd59af248, 0xf0f8fad1, 0xca19a892, 0xd9780028, 0xf64af109, 0xeed35601, 0x23c1d461,
+    0x7796de94, 0xa3080141, 0xa479d81e, 0x644cad7e, 0x7072be84, 0xc8d91ef1, 0x17ecd306, 0xb24acd47,
+    0x85dbc2d3, 0xa88da593, 0x6226f720, 0x146a3f29, 0xe26e8fe7, 0x9e9823e6, 0xcfc95e8b, 0x33d50f4d,
+    0xf08d52c2, 0x16886424, 0x6c8bf462, 0xbbac9103, 0x24ddcbd3, 0xb0e914ec, 0x1ea91c3b, 0xbdddb859,
+    0x584cc2d0, 0xa0d1c7fc, 0x48d2b372, 0xe863da80, 0xd3d7e1c0, 0x544e62f8, 0x10e611ce, 0x48960139,
+    0x6fb4de1f, 0xf7724a3c, 0xd65411e2, 0x1335bdc3, 0x962fd900, 0xfe401cb9, 0xd047a060, 0x9b5574c1,
+    0x009cf590, 0x6202cc31, 0xaf3c9442, 0xf21da3d6, 0x87081c5a, 0x524f1dee, 0xda4f7e40, 0x4b8170d2,
+    0x3e9318a0, 0x1ca46b2f, 0x404a29de, 0xdacd61f5, 0x8b3bb417, 0x95b8666f, 0x0a04d00e, 0xce8b606e,
+    0xa23d8e6e, 0xdbb4fb2e, 0x4125430f, 0x0e7e42fa, 0xb2282d97, 0xf197f969, 0x312fb42f, 0xd4daabec,
+    0x5b21cdb2, 0x3ce20692, 0xad72de77, 0xf15da13a, 0xe8c32a2e, 0x19dd4bc9, 0xd4d52785, 0x56f7dbe4,
+    0x8981d9cc, 0x51ab0417, 0x8c3e35b9, 0x73ae4a73, 0xfce8224a, 0x07837ea6, 0x4cad62da, 0xa4e7c837,
+    0xb4fa25e5, 0x2688bd34, 0x42eec26f, 0x44e5f26a, 0x177ea3a1, 0x95a983c6, 0x34422e14, 0x55d3352f,
+    0xe2119b3a, 0x5b7fe0d8, 0x3f6a3609, 0xcf93f104, 0x39ed9b90, 0xfb0723d4, 0x1d85b555, 0xefa04a5b,
+    0x6e156882, 0x576b760f, 0x3fc19c3f, 0x151fdf8d, 0xb5d9af2a, 0x7a53b246, 0x2ea22266, 0xaa689062,
+    0x7430a75a, 0x8e9895af, 0x2a32bfb1, 0x75b0339c, 0xe68709cc, 0x93652256, 0xa8424863, 0x129daee9,
+    0x81b870de, 0x863e2975, 0x63ce77d7, 0xa9222823, 0xe13042d0, 0xae8b7329, 0xce346683, 0x40a1c4f4,
+    0x47af11f9, 0x65030943, 0x52aed42a, 0x8a74dbf8, 0x37f89f0c, 0x90f06bc3, 0x05f8b996, 0x6a07104a,
+    0x0ed48013, 0xaa706089, 0xd14e6e9c, 0xca1b64fb, 0x94e61d79, 0x820e90e6, 0x98b6ec91, 0xf711094b,
+    0xd9ed0c5e, 0x601dc7a3, 0x610a5670, 0xeabf14c0, 0xc64d46da, 0xecb10f76, 0x0a2ca5a8, 0x58950140,
+    0x8f053c24, 0x6a905bbf, 0x530e8d90, 0x97280ce5, 0xb013b6bc, 0xeaa83fd7, 0x1a20475a, 0xb1ca2bac,
+    0x29a1bf9f, 0xcee084ea, 0x722a424e, 0xfff6ad6c, 0xf8790381, 0xe2582cd8, 0xad81e8f8, 0xf54e537b,
+    0x003ddfb6, 0x4fb371d9, 0x07a57877, 0x1071eb9f, 0x76ee8b12, 0x79d689fd, 0xfdf86c96, 0xe031cd1e,
+    0x8a259137, 0x08c194f5, 0xc0d8bc4c, 0x1c15347f, 0x21502bda, 0xa2cae191, 0xd1bf5eb3, 0x6c0770ca,
+    0x5ae9163d, 0x188e158b, 0x4b880bd5, 0x7d1522cc, 0xde23002b, 0x52ae9369, 0x6c8c9ab7, 0xcedbb6a3,
+    0x3bc3da4f, 0x766628f8, 0xdbeaf287, 0x454e2df9, 0x9a993108, 0x93abbc79, 0xb7a0dc7b, 0xded4b6a6,
+    0x2e3290f9, 0xc7acf416, 0xf078a58d, 0x0b423c21, 0x6590d26f, 0x38d6f94d, 0x170b1337, 0x21f2e2c6,
+    0x3f71b335, 0xd4601f45, 0xbc8a0240, 0x6b91b682, 0xc6ab156b, 0xb11779e8, 0x396e4cba, 0x0ec0caef,
+    0xf648b581, 0xee5cf3ae, 0xc0eed446, 0xcddef603, 0x38f53590, 0x7858a5f8, 0xfd9ad1d3, 0xeb24be7b,
+    0xf2dd88a4, 0xec22a78d, 0xc17f0309, 0xf3c3337e, 0x379422bb, 0xecbf9015, 0x4aa6b2f2, 0x4e053d38,
+    0x5bee3902, 0xf7ef218a, 0x2621ba12, 0x09012881, 0xa6098819, 0xd88479cd, 0xd8e08562, 0x5cde22f9,
+    0x259a893a, 0xf1e1d3b5, 0x6813c577, 0xab548157, 0xa1fc804a, 0x76432626, 0xa3477449, 0x61c9c806,
+    0xdbb12707, 0xb97745c4, 0x50700138, 0x969b61b5, 0x83aff78b, 0x396b0e54, 0xa561c606, 0x625cc05a,
+    0xb351bb22, 0xa8a0b540, 0xa497c245, 0x30c61a44, 0x9eabd61d, 0x41717c4c, 0x28eb60b9, 0x408e37da,
+    0xfc6a8bca, 0x3d82b3a8, 0xa5d49513, 0x0c1d9919, 0x3a4e7a83, 0xabe275f6, 0x2622ebb6, 0x5a890538,
+    0x1f592e48, 0x7f26a1f6, 0xef7f9b98, 0x16a812bc, 0x1c7de363, 0xd5e4a5fb, 0xa1de6e31, 0x0309d4ae,
+    0xeba7f3f3, 0x8d9442b8, 0x89ab6fa4, 0xabbd24da, 0x2bf10902, 0x4a363876, 0x6dd2d0cf, 0x0218e44c,
+    0x091d373f, 0xbfefb437, 0x1bbb343e, 0x43b7c9c7, 0x1651ea37, 0xddc6b2d7, 0x2b28b762, 0xba561b46,
+    0x08b1cbd1, 0x01c96f9c, 0x7cbf81aa, 0x70e98031, 0xe4b78c73, 0x4e6c4087, 0x907fdb47, 0xdd37fb71,
+    0x1ca5f507, 0xac39aa34, 0x50eb96ae, 0xbcf4bea6, 0x04752ecc, 0x5506a6c1, 0x66077403, 0xab5204f7,
+    0x720f16a7, 0x604bd66c, 0x03b333b9, 0x2fda9cbf, 0xc1277e49, 0xcd575bf4, 0x5531642e, 0xabbedafe,
+    0x5163eef2, 0x4d96bb3a, 0x635fa90d, 0xbc3a7842, 0x6c62c9e5, 0xfd213d73, 0x2da9e238, 0xe410cffa,
+    0xf8b4bf5d, 0xd094e5c0, 0x22631b9b, 0xb7637a93, 0x115d60a8, 0xef0e80c7, 0x251b8df7, 0x8b556af8,
+    0x2a2ebd32, 0x7c20962d, 0xf42b72df, 0x21568e49, 0x12d6941d, 0xe51ca28a, 0x34cf3127, 0x46f9f7a9,
+    0x9732f4b0, 0xe124e796, 0x3a0ef436, 0xde60f97f, 0xa9682b24, 0xc4b13547, 0x1cd832b5, 0x454c8974,
+    0xd7ccebbc, 0xf0a516cd, 0x3783462f, 0xf8bdb935, 0x33d96d9b, 0x8329fbe0, 0xaf562f9b, 0xfd52d056,
+    0x25873355, 0xb321ae0f, 0xecf42fd8, 0x01075c81, 0x490c8d6d, 0x8e2d7d4e, 0x8045ac7c, 0x4ee4bc14,
+    0x62e5921a, 0x7b66d3f7, 0x5397cf1e, 0x0f48c162, 0xcd2a5724, 0x299d7e38, 0x375ca22c, 0x270920a6,
+    0xd6745775, 0xb2d6ddb5, 0x5622c7ac, 0x02e9f643, 0x20648af0, 0x41bcd132, 0x5fb101e0, 0xe32bb325,
+    0xe79c2be3, 0xb2df838e, 0x795b137f, 0xb01cc3c2, 0xfcbeeb02, 0x9e28b1f9, 0x444455d7, 0xd7044e62,
+    0xf8df6caa, 0x7f3a1bbc, 0x0ca9cb90, 0xada58d87, 0x134da4b4, 0xd4753190, 0xcea145fe, 0xa015d393,
+    0x0cd3ba0b, 0x436a5f94, 0x47f09e46, 0xad5f4d31, 0x2a76744d, 0x63e3cc57, 0xecb4f3f6, 0xca1a6651,
+    0x04650ece, 0xc507c5d8, 0xd4427cdb, 0x560ab7d1, 0x0368fd44, 0x8e557636, 0xdc67329a, 0xf7edaf0e,
+    0xa352a025, 0xc20ad4a6, 0x99fdca47, 0x9f47da51, 0x5a39a0c3, 0xa0589e26, 0x8b12a8fd, 0x45f2a2e8,
+    0x1c2062ea, 0xf5a55bb8, 0xbea94fc2, 0xedf9bae0, 0x72714b8a, 0xf4dcfae6, 0x89882baa, 0x313b785b,
+    0x2a35befc, 0x508bcef1, 0x3c289f5e, 0x9f377ad7, 0xba4c8943, 0xff01a818, 0x704005fc, 0xa34704e3,
+    0x2accc9a6, 0x25e6c4aa, 0xe54c3910, 0x72829f64, 0x0f1af7fe, 0xdc9a9527, 0x757042a9, 0xdddec350,
+    0x4c7354af, 0x11daf1e0, 0xcee5d224, 0x0f114abf, 0x9a94ba31, 0xeb921b6d, 0x0ff14a1f, 0xe1516f3a,
+    0x346f5ef6, 0x5de5053b, 0xc7ccb18c, 0x36ee2456, 0x8947d583, 0x6d77f041, 0x946b7350, 0xcbc42091,
+    0x7b207ee8, 0x0db81baa, 0xdfd0e897, 0xc01904f6, 0xc719c7d6, 0x0be4f98f, 0xedd1b866, 0xd4e1376a,
+    0xaaa17cb5, 0x5434361b, 0x6d307526, 0xca72b4b7, 0xd77b1e21, 0x1a149754, 0x70f0a78c, 0x7e4f205d,
+    0x48c4db6d, 0xb2f8f776, 0xe761386f, 0xab4d5af9, 0x18bc5c39, 0xe2f2500b, 0x3913c36f, 0xc7e2b3b8,
+    0x7c728bda, 0x7ef4066a, 0xc49d47f6, 0x4694db7a, 0xb846f7cb, 0x0c3f2ce5, 0xa36b796e, 0x86c66d77,
+    0x451dc468, 0xc914973f, 0x380ed7c2, 0x35b76e5d, 0x9ec6dfce, 0x6e7f51c2, 0x73d26442, 0xa35d7679,
+    0xa9bf13ef, 0x5c3e6ec2, 0xbd730162, 0xba399b74, 0xda088ca7, 0x470666de, 0x119dd53b, 0x1c5dec94,
+    0xf1d5eb81, 0x44e68aef, 0x328c275c, 0x0a0eba75, 0xab552c75, 0xb5447892, 0x4c9b594c, 0x063b7fa2,
+    0x884297f2, 0x989091ad, 0x0dfff522, 0xb08816b4, 0xb6a6cb45, 0x8a720839, 0xdc1d4065, 0xa5ec690f,
+    0x4c621d81, 0x732231c2, 0x0b6d5020, 0xb83f48a0, 0xf9aa2768, 0x68e5b50a, 0x9a5299fe, 0x895761b5,
+    0x3121f850, 0x7249f5cc, 0x694ef94c, 0xeefd180c, 0x874536d2, 0x702386a7, 0x13ad3334, 0xdaf57595,
+    0x9c7e46fb, 0xdfab333c, 0x81b202cc, 0x9380c52d, 0xd17b5eab, 0x4430350a, 0xf133b06d, 0x87065f83,
+    0x43f24fee, 0xaf326e02, 0x5d49585d, 0x6ad79b0e, 0xa5e9ebb3, 0x1039e3dc, 0xb2d6e80f, 0x1adb8b8a,
+    0xf09088fc, 0x25ad8306, 0x1cdc1b88, 0x248a8fc2, 0x1f5fd2ad, 0x94453380, 0x3a414c73, 0x77c1a17f,
+    0x40b572bb, 0x9967e06b, 0xd630d975, 0x4066c919, 0x1bccab31, 0x2cfc03a7, 0x570bd82a, 0xad2e3f1a,
+    0x1042321c, 0x45738083, 0xbac440f7, 0x982cd38f, 0xe65b6920, 0x9ad92f29, 0xd9dc9945, 0xec22a5be,
+    0xd02ac63f, 0xe155772e, 0x1df7dc09, 0xc799e524, 0xcd7276e2, 0xf0d55585, 0x94b66b0f, 0x7bbeed1e,
+    0x802325ba, 0x378f5769, 0x1d6fcba4, 0x3aa909ad, 0x9f608e8b, 0x76b83fb2, 0x8f6643a9, 0xa929b4a1,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000037778931862957161709568 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432e, 0x47501b6c,
+    0x00000000,
+    0x987359e9, 0x0fdec79c, 0xb7905b22, 0xc05443b3, 0xf20beeac, 0xf659dc04, 0x110b4a9b, 0x12843636,
+    0xc2a487ad, 0x98fdc354, 0xd8ac133b, 0x14f89828, 0x8f871918, 0xb1d8c178, 0x71ce06f6, 0x04c4358a,
+    0x2fd50085, 0x63c43208, 0xf65d5ce8, 0xe385fdf5, 0x7ee89787, 0x36f55006, 0x3f336113, 0xe95d8bf2,
+    0x9faaf0f1, 0x693cf492, 0x8daf0787, 0xbe88f923, 0x588703c6, 0x55e35d06, 0x92239f26, 0x1543082c,
+    0x87b3209c, 0xb982be04, 0x556c60f5, 0x280e7c74, 0x340e590f, 0xb22c99e8, 0x86246e9c, 0x2e5de558,
+    0xa1d54d42, 0x1f4b4b53, 0x127da92c, 0x7ae0a94e, 0xf5788f61, 0x4f0c709a, 0xbcb08a8f, 0x1d5815c8,
+    0xe7f7d301, 0xe841a08c, 0x7acb8b95, 0x9fe95f6a, 0x4400dc7b, 0x1d8fdcad, 0xe58c3658, 0xd76cd9bd,
+    0xd87f538d, 0x40c29588, 0x7bee2e8d, 0x89880d70, 0x2148ae1a, 0xc990f7b0, 0xfbad5bc5, 0xb64c6aac,
+    0xd3d3ca22, 0xba09b496, 0x88e2b5dd, 0x5bc60b66, 0xb78d64bd, 0xbc31c19b, 0xe1ed8d6d, 0x893a2e88,
+    0xa8d6d99b, 0x44ad7418, 0xdc815163, 0x5288abd2, 0x162c6854, 0x65c69b1d, 0x99df98af, 0x4f376f72,
+    0x9d5087ba, 0x9002a69d, 0xc4b7ad46, 0xb526ab5c, 0x78db25df, 0x3300d5b4, 0x51e88992, 0x68ff6fcc,
+    0x45292ea2, 0xb8dbfdc1, 0xe4f7304a, 0x4340a74c, 0x1d254d84, 0x309f1e70, 0x4c6c1434, 0x889f1a78,
+    0x15dceac4, 0x94d2d165, 0xdd43d691, 0xf4eb6a3f, 0x9c17d16f, 0xc3219e45, 0xf1b431b4, 0xcc7a8fb2,
+    0x7ab1db47, 0xbe4b1a60, 0xe61ebb6a, 0xd6689958, 0xdf8dfa62, 0x721a8349, 0x19908082, 0xdbdb3686,
+    0xd7549fb6, 0x31938fb2, 0x3aa72dea, 0x24077a82, 0xfebd8086, 0x17d12ad4, 0xa6d5144a, 0x17dbe065,
+    0x0c9ddcc8, 0x1165df21, 0xd3f523a8, 0x9082a741, 0x8adbd02f, 0x2bd3b34c, 0xc576c6d1, 0xc6199562,
+    0xa0bd293e, 0x9d5d581d, 0xa237a63b, 0xa0f85042, 0x57aec6e3, 0xe60b4801, 0x82dd5411, 0xaddf9295,
+    0x3f5bd45a, 0x8ff2b330, 0x6a839cf6, 0xceb0c1ad, 0xbe0c6dfe, 0x2c667325, 0x6df20332, 0x0fef7d1d,
+    0x5fc2c397, 0xfbee7dc3, 0xa746942a, 0x7f17804f, 0x5335ec81, 0x3b527286, 0xbe2e5f50, 0xcc75193f,
+    0xe9b10ab5, 0x472fdde3, 0x961bdb43, 0xd329c545, 0x11e85cb0, 0xd76467e0, 0xb7fd42d3, 0xf43fd84a,
+    0xb369c791, 0x54f17926, 0x800b74e7, 0xfb2ec0e3, 0x5f3aa652, 0xec6162d9, 0xd2d9e8e9, 0x4873e6b3,
+    0x395fb401, 0xe29a54e8, 0x6d98cd3d, 0xb779f1b9, 0x1d50ebf5, 0x9cee65b0, 0xf59bcf14, 0x84c73611,
+    0x9d72317f, 0x2916c82c, 0x77578a09, 0xee47e68c, 0x9fff756e, 0x1c7cac65, 0x25b800c3, 0xd60a326b,
+    0x4644cc2c, 0x1deaf7d3, 0x0dbfc004, 0x986a621e, 0xe5a4945c, 0xb5f610ba, 0x97d16632, 0xcb8f1f45,
+    0x47934a34, 0x82dc102f, 0x114030a3, 0x7e11be2e, 0xd7e85dd2, 0x5287468f, 0x77173b86, 0x24fabe65,
+    0x222c1257, 0x63edaeca, 0x960f4495, 0xc178f537, 0x26c3a730, 0xacd84fb9, 0xd7b20c66, 0xd05a0a50,
+    0x8618526b, 0x6499f75e, 0xf3d05b37, 0xf54fcd66, 0xd258a934, 0x065dfda0, 0x174f8dd9, 0x3efc9172,
+    0x1d3361c8, 0xf74a8c8b, 0xd613b6ca, 0xc709b4a4, 0x33e5727c, 0xba7beffd, 0x0f3a7f36, 0x39fd5e65,
+    0xdc0072b1, 0x38865e43, 0xf776ddaa, 0x428872b2, 0x9703ba62, 0x1a03d5ac, 0xdc14ff57, 0xd4b62066,
+    0xf3230717, 0x8d38795a, 0xad798791, 0x3a3a2a91, 0xc77383d8, 0xb40ff5be, 0x8dac5ee2, 0x104f2bad,
+    0x3ff50d35, 0x3f6c265a, 0x749b967f, 0x084e5847, 0x32322570, 0x7ebd28db, 0xe7f13a5f, 0xab215ebb,
+    0x0d603ba4, 0xa7fd3560, 0x17986903, 0xc385830d, 0x83d09fbd, 0x934bec8f, 0x18f48139, 0xd5c2fdf7,
+    0x04c31dbc, 0x43a3fcf9, 0x8394e64b, 0x928c6658, 0xdb7dbdcc, 0xe0dfb9b1, 0xadb05383, 0xdbb4f6e0,
+    0x8013ee00, 0x70f9cda0, 0x132ccef4, 0xaf559641, 0xf14f80d5, 0x5f0c614f, 0x45f16cca, 0x999442d6,
+    0xc9496859, 0x4ec15a5d, 0x71e24503, 0x94d96ac3, 0xe56096ac, 0x0f88d8f9, 0x04ad8b5b, 0x1fa2c8d4,
+    0x3f0be737, 0x37e9a662, 0x5e29f1d9, 0x741d49d5, 0x2272354b, 0xd10448bf, 0xde8109bb, 0x10c3d84f,
+    0x6b5d1506, 0xc64f0490, 0xdccac113, 0x6198345b, 0x15f838c2, 0x5009be71, 0xcd4ef6c1, 0xbb231a83,
+    0x731ec319, 0x583762c5, 0x3f774c81, 0x01c3b2f7, 0x737cbb4d, 0x7bfdb667, 0x3f265a04, 0x6195a3f6,
+    0x40f67355, 0x1fb816fd, 0xa863f257, 0x061a0687, 0x8e229983, 0xd0eda4dc, 0xa14a18b9, 0xc723550f,
+    0xb1796106, 0xca6dd79b, 0xdc7e5294, 0x5373d8e5, 0xdaf00f06, 0xcc33b1c8, 0x3577f575, 0x2f33590c,
+    0x73ee6004, 0x67928a66, 0x8e08b934, 0xff60ebb1, 0xece5c5ac, 0xf5b34d1d, 0xfc30c1a2, 0x36aacab6,
+    0x0edff75a, 0x49002223, 0xe9c7f6bb, 0x161c9eff, 0xe50319c7, 0x9c848a4e, 0xd4c8bd0f, 0x898c1c70,
+    0x57e01e17, 0x86b27021, 0xd28f560a, 0xb5e670ea, 0x864ad0bb, 0x8f8f00b1, 0x2a599cd6, 0x78628b5d,
+    0xf04dafdd, 0x6b171b63, 0x31a227a8, 0x2cb0247e, 0x8fa5bab4, 0xec6e233d, 0x83fe5bd6, 0x8ece3158,
+    0xb1fe6dc5, 0xd8e2e256, 0xdd0ca024, 0xfb85cd84, 0x8f58df8e, 0x63979ba5, 0x8ac4d1d1, 0xb66135bd,
+    0x2b5f7a32, 0x3b15dbe0, 0x771a60b1, 0xe2d20e05, 0xe6d6c242, 0xd33df795, 0xec3c8b82, 0x9363a240,
+    0x8e6004f6, 0x8b67d54c, 0xbd30bb66, 0x7357bfac, 0xd78a384f, 0xa9eab5cd, 0x06c625f5, 0x929bb0c1,
+    0xcc186872, 0x26ec66fc, 0x523c93f7, 0x5685a0d0, 0x3efceab2, 0xdc603194, 0xcf5bcd9c, 0xe3371447,
+    0x74b4c04c, 0x9011f4c8, 0x1af20d7c, 0xcd706fbc, 0x25de60f1, 0xf0c04b06, 0xeced3028, 0xcc54df90,
+    0x63b2bbe5, 0x2c280e99, 0xdcb725c8, 0x44cd5e9c, 0xd4ee22e6, 0xfa18cd0c, 0x8b0d638c, 0x9dadfff4,
+    0x29d632c6, 0x7801ead4, 0xecd3f306, 0xc45ebc4d, 0x413f76a1, 0xd6250f26, 0x0e5f7b88, 0x1c5f0753,
+    0xfc8bcf5b, 0xc5713a16, 0x4e643f56, 0x8c9687ab, 0x4ecafd38, 0x5777f031, 0x51aaf659, 0x6e2bee1f,
+    0xe2394ecb, 0x40215b88, 0xce46904d, 0x7226cf56, 0x986113e5, 0xe9032872, 0xfc6e6c97, 0xb7c53fa1,
+    0xbe5e3219, 0x7b788e83, 0x349e618e, 0xf5eff42b, 0x09c357e0, 0x6c7c9b35, 0x6209af34, 0x332b8871,
+    0xffaa442d, 0x0f8395e3, 0xb892dd36, 0xd31ca4a4, 0xcd95bf57, 0x0d1dbaad, 0xa7566971, 0x7c8879bd,
+    0x040e28dc, 0x06cebda5, 0xad2fbab8, 0x7311b87e, 0xec94eb7a, 0xa2a78483, 0x7afde0af, 0x098941e9,
+    0xd4588e53, 0xe08c0e3c, 0xfbbbc8d8, 0x56bbe39e, 0xfaa3de5d, 0x3f5b2b3a, 0x90a46a77, 0x2ed07c9f,
+    0x862c8938, 0x0f5d6154, 0xa83aa049, 0xe04ff69b, 0x9f69d8a6, 0xf54b97a2, 0x01ec6bb6, 0x8e25a455,
+    0xf8447b97, 0xc3e372c2, 0x1961cde2, 0x955c8752, 0x62b21d95, 0x6fd54077, 0x15288fbd, 0x5986f97a,
+    0xc2eb1cc5, 0xd564f5ec, 0x89d0c4ad, 0xf5457aef, 0xad449bbc, 0xc9a1d641, 0x2d23cfe7, 0x517a58d7,
+    0x6b82f78d, 0x284cf2b2, 0x0298e912, 0xb2de7eda, 0x40b3eb3e, 0x9460a7d7, 0xe607b0d4, 0x3c34d48f,
+    0x4c881d34, 0x8fe475b7, 0xb87aba21, 0x665057c1, 0x6eb53c82, 0xe4810776, 0xc7f68af8, 0xaf9d5349,
+    0x7b68027d, 0xccd0895a, 0x6f791bc8, 0x76fb0fc0, 0x835be03e, 0xc355db13, 0x8b1d6393, 0xa4638943,
+    0x92ae055a, 0x90756693, 0x48e808a7, 0xaa7bcea3, 0xf9fa981c, 0x42eddd4b, 0x810a1634, 0xea015393,
+    0x43476de1, 0xdaf35e16, 0x62215600, 0xc0ac5e96, 0xf09caf51, 0x81059196, 0x352918ac, 0x96a64b24,
+    0x1b49f2b1, 0x7a255ed1, 0x4d395c31, 0x3b72d7ff, 0xe0e2d290, 0xb84d893d, 0xda1a4d14, 0x0c402d75,
+    0xfb670ac2, 0x722b6066, 0xbc0755c2, 0x5bc3b92c, 0x3d60fd59, 0x5c4f9b2f, 0xad9918a4, 0x119c6012,
+    0x27095483, 0x534bfb26, 0xbe778ba3, 0xb1d058a4, 0xbe965f9d, 0x27b5d31e, 0x33faccf7, 0xd1fdc82d,
+    0xfe328893, 0xa4bbdbdb, 0x200bbf2e, 0x92aea3ee, 0x3873ee83, 0xfffe426c, 0x7b21ea07, 0xdd9776f3,
+    0x5fa6b7e2, 0xcbc62dbf, 0xdd5328f7, 0xf5fd2f54, 0x7f24e16a, 0x457ba7cf, 0x3a6265d5, 0xa5ae62c3,
+    0xc11eb751, 0x87469e14, 0x59e8b542, 0x0350f083, 0x02a27e39, 0x73df8e7d, 0x9b75c9fc, 0x48e173cb,
+    0xeebf8ed5, 0xd3752976, 0xad595f9c, 0x13f05fba, 0x9b59fa82, 0xf81c357e, 0xc436ae70, 0xcc7e4a89,
+    0x744a1d21, 0x3f23c400, 0x1a4d4f0f, 0x0e0e5ca7, 0xb6dbdd65, 0x0fcc5f0e, 0x2848203c, 0xf105868c,
+    0x53ae1d63, 0xb7923a27, 0x06ad875a, 0xfc21faca, 0xf7257d07, 0xaea8c5a2, 0x59932405, 0xb1b1c64c,
+    0x5a09b59d, 0x7434ce01, 0x1d23940e, 0xa78492f2, 0xafe568c3, 0x78076352, 0x49dc45f1, 0xcdf07620,
+    0xebef1050, 0xf12926fd, 0x90a7f728, 0xe3fb007c, 0x8489eea0, 0xa9365361, 0xb6c077e4, 0xf01e19e3,
+    0x3e68dbe9, 0x5eb261e7, 0xb92bdd3b, 0xaa1a07b0, 0x8e8c135c, 0x90f8311d, 0x7d356805, 0xab6847dd,
+    0x98956b85, 0x122b02ac, 0x84fe15fe, 0x6afc0974, 0x16afb0e3, 0xe10dd769, 0xec92e46e, 0x341e10fe,
+    0x7c5d1074, 0x1c7d80df, 0xecdfd8e9, 0x0d6df914, 0x0249f461, 0x2f351d12, 0xffb49911, 0x56e1747b,
+    0x37fcaada, 0x72b1c454, 0x81975aeb, 0x5302eb2c, 0x78358ad0, 0x393404b4, 0x36aaa27e, 0x79d2f34c,
+    0xcf025806, 0x7204aa7a, 0x7e35fda5, 0x9b01b37d, 0xabe094c9, 0x65eff75b, 0x990dac5c, 0xfcb4da39,
+    0x9e756fc7, 0x2d903124, 0xf3d28837, 0x876374af, 0x88d85f82, 0xda7e2089, 0x1bda56dc, 0x53a5e915,
+    0x18f5bc0c, 0xc6f7cdf1, 0x6eb0806a, 0x5370d6eb, 0x322094aa, 0xc43822c5, 0xcb3766d4, 0x669ed5eb,
+    0xaa98ca50, 0x2da8fe6a, 0x8f166aee, 0x8760770f, 0x348f3d96, 0xb50ffeda, 0x20a4f6f7, 0x2f3a3765,
+    0xb90ad9bb, 0x2e33b4a5, 0xb97574d2, 0x529d764a, 0xc530f7b9, 0x4279ec55, 0x453e7ee3, 0xe0674521,
+    0xb408d898, 0x0f7e00fa, 0xff7e7c65, 0x730a7e76, 0x9e17e1b0, 0x3b94ac55, 0x73572b6e, 0xa9b754aa,
+    0xe4cb6b74, 0x85951d39, 0xf8ef90be, 0x465693cc, 0x7c55223b, 0xe0401797, 0xf10ce138, 0xbcf77372,
+    0x85c03ab1, 0xeba02c26, 0xc2046ebc, 0xd7c50ee7, 0xbd237c02, 0x6d2f912f, 0x97c85c77, 0xe46bb61a,
+    0xa908a6e7, 0x777fe757, 0x9bbc77c4, 0x668f35e6, 0xed0100d0, 0x8311cfdd, 0x9aa2d1d7, 0xba0e91c1,
+    0xa62c74b3, 0x217fc5bb, 0x480f243e, 0x37c9dfbf, 0xa0bd7b25, 0x946705e1, 0xd7999b11, 0xda0f012e,
+    0xbe363ef0, 0xe0c77777, 0x7b0442bd, 0x024ea5c3, 0x7d1831a0, 0xbea2a27f, 0x9295e2bb, 0x0dbc5c7b,
+    0x4a25af4a, 0x4856b591, 0xcd409cad, 0xc13f996d, 0x71ad96ea, 0xfd0021bc, 0xcf19e68e, 0xc1997990,
+    0xaf310b67, 0x4453df36, 0xd30dc9f7, 0x81046fcd, 0x9c552b6f, 0x28fbc636, 0xd5194477, 0xddae834d,
+    0x27d91492, 0xe8e5258a, 0xdf2e4be3, 0xb82bad11, 0xa2df692a, 0x91067054, 0x86e673f5, 0xe9e72bae,
+    0xfd94a711, 0xdf2f3d92, 0x5bc93a7c, 0x5bfb807b, 0x9e847ddc, 0x214f18f8, 0x0cfdbe1f, 0x86988d80,
+    0xf8a46af2, 0xd07d2c0a, 0xb59a91e6, 0xade609d8, 0x75086964, 0x0879cb52, 0x41a76b13, 0xdf45e1fe,
+    0xf25f730e, 0x7a3e7c92, 0x7e14d539, 0x2c53adb1, 0x6b3b39b2, 0x699c6f81, 0x8fa3572c, 0x8f3b7038,
+    0x810166d0, 0x81c59059, 0x9588db8f, 0x02503770, 0xb289a0af, 0xe3f32df1, 0x45046978, 0x127b7d89,
+    0xc874fbcb, 0x09ba2db5, 0x8d285262, 0x01e7837c, 0x139cacb9, 0xe373ee86, 0xacdd1458, 0xea71ac7f,
+    0xe0fe4858, 0x1d148910, 0x530d1b87, 0xbb2f7ac8, 0x546ab22b, 0x60aabae9, 0x497d4f02, 0x0592683c,
+    0x250ef778, 0xa00f9aa1, 0x9e196af7, 0xbad475d4, 0x2ae06fec, 0x2ccc9fbd, 0x06816acc, 0x15bfbbe5,
+    0xdf7b6bb7, 0xc56d488b, 0x021b0c0b, 0xccaedbb4, 0x165c3a25, 0x0b5f1333, 0x001e9d3c, 0x9bbf048c,
+    0x57b04f46, 0x76bd7a37, 0x8a32da5a, 0x68dcc25a, 0x9a857f60, 0xe40f0a8b, 0x51450f9b, 0x05387d58,
+    0x28f79a7d, 0xda78fc40, 0x392b4aa6, 0x36f85555, 0x2c5be5f6, 0xb47b2dcd, 0x059b8b9d, 0x826ca778,
+    0x8fe79690, 0x73fc6370, 0xba510287, 0xa304c8a5, 0x28b2c30a, 0x6d4ee49a, 0xc724106a, 0xd5e1bdbf,
+    0x593754be, 0x06b98ea3, 0x3a31a001, 0x8021ae86, 0x8f6e0348, 0xf9188199, 0x7f0de673, 0xed2a4329,
+    0x6b2955b1, 0x086496f9, 0xdc21249b, 0xd8b27e03, 0x11d03c7b, 0x88931e11, 0x898190a7, 0xf7673bec,
+    0xabebbe72, 0xc3b584f1, 0xdd8cf6d9, 0xdc90aa1b, 0xa01b20a7, 0x27410143, 0x1c0ee4d2, 0x8af42613,
+    0x0a20de38, 0x951648df, 0xa9a0ef6e, 0x68a68b8f, 0x3b72df63, 0x2d6834c2, 0x71c079e8, 0xf6f5711b,
+    0x45f525b5, 0x6d96274a, 0xac166098, 0xdd16a241, 0x7584ba0c, 0x20367f7c, 0xe986992a, 0x0f26a750,
+    0x141f6fda, 0xa4d23b53, 0xfbd51a98, 0x3671e9dd, 0x94bcaab7, 0xd630c6ef, 0xc0a5f54a, 0xad720888,
+    0x9d169b4f, 0xf072d70b, 0x60cfd747, 0x168a1d97, 0x04372d62, 0x1558dc51, 0x20c0c2b9, 0x88b25dc5,
+    0x72647031, 0x1eb0e5dd, 0x067f9c78, 0x18702ed1, 0x4f5b0c86, 0xd15a92bf, 0xb9d6b785, 0xb36bb0b3,
+    0x6a31b9f3, 0xc1772518, 0xe8bb07b3, 0x8d07237f, 0xc3a013d8, 0x5b13ccdf, 0x5e6b3e15, 0xfa7954d9,
+    0x88167ab7, 0x631df7b4, 0xbedae763, 0x7850c19c, 0x4b8b5ab6, 0x089ee035, 0xbb14377c, 0x56130e5d,
+    0x8ea19472, 0xc165d252, 0x0f1ddfe4, 0xc2db45c0, 0xb33462ca, 0x087b4ae7, 0xc34910db, 0x080fbeef,
+    0x2ec456a4, 0x10b93c8a, 0x69031d8f, 0xbfdaaa93, 0x9e99e126, 0x85bfac46, 0x3462efe2, 0x3ef032f7,
+    0xb7ba030f, 0x6ab78f2e, 0x60becc73, 0xd7948a21, 0xd96e9048, 0xe4978e2a, 0x7e298725, 0xbe422c19,
+    0x979b8f85, 0x4a9c4b4d, 0xd362b681, 0x0b20f54e, 0xde5951d7, 0xf3ff6ae5, 0x654061a0, 0x0d1353b1,
+    0xe0741908, 0x63efbdca, 0x50f13d54, 0x3ebecea5, 0x686e824c, 0x172457a7, 0x3f8200bf, 0x0944e27c,
+    0xcf88c54b, 0x6142cde3, 0xbd9a3f17, 0xc16b59d3, 0x6ae9502b, 0x7551d0ea, 0xe513ab1d, 0xa0c4f154,
+    0x3dfd9487, 0xa6a31523, 0x158a67f9, 0xd39a4ab4, 0xd567c256, 0xeddb33c1, 0xe55d8271, 0x042c8994,
+    0x91c2e469, 0x8cd6c981, 0xc6528128, 0x6e6a5c70, 0x864a4947, 0x62af832c, 0x271d84a5, 0xfa91ad5a,
+    0x909def26, 0x0bab01ba, 0x6f844c0f, 0xa6c7f526, 0xc872f1e9, 0x35e6fb0a, 0x9f35e04b, 0xd7a15023,
+    0x1e7945f3, 0x7a10d179, 0xe91675a6, 0xba635502, 0xe1084281, 0xf9253702, 0x5d02d9eb, 0x373e0ac9,
+    0xf84fefaf, 0xcee2c1a0, 0x3b4055e8, 0x79c76219, 0xa2ef3255, 0xa61d0ff3, 0x4208621e, 0xfc05b224,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000018889465931478580854784 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da197, 0x23a80db5,
+    0x00000000,
+    0xc58dac82, 0xf91396f4, 0x6df488d8, 0x09b15688, 0x28f14f03, 0x38894261, 0xd62dce5b, 0x6a423363,
+    0x29b79c28, 0xb9630904, 0xf6377974, 0xbf25c20c, 0x45694df6, 0x0d9d9a3c, 0x25e11179, 0x99dc7ca4,
+    0xa35adf12, 0x5956d1ae, 0x5d0864bc, 0x76db6121, 0xe7c97262, 0xc5cf8adb, 0x2ac392ea, 0x0c84c437,
+    0xed62c30e, 0xe7b42569, 0xf3801ec8, 0x756d13d2, 0xcc007be3, 0xc13089e5, 0xc8208385, 0x371b2635,
+    0x5597a995, 0x71d7e839, 0xca097f9d, 0xcd75664b, 0x8264de58, 0x378f4530, 0x3daee5e9, 0x65b8e3bf,
+    0x063422a4, 0x91a709b7, 0xa71d95ab, 0xc4e05263, 0x379be6b7, 0x8daee115, 0x27cb87b1, 0x2ab1f4ea,
+    0xc01ef402, 0x981cb5bf, 0xcea543a1, 0x16059b56, 0xe402543a, 0x08cf0d18, 0x5ac77a19, 0xb3e73b22,
+    0xc079b1ad, 0x5451d300, 0x7ad4397c, 0x4c7af35e, 0x39795e84, 0xe2fdb658, 0x6dec83c5, 0x284b9814,
+    0x9b1b5a94, 0x93e16768, 0x0c617a4a, 0xae96763f, 0x91b0c30c, 0xdf4f71bf, 0x29e8e45a, 0x276f3067,
+    0x59848e2d, 0xc00e0313, 0xfd5855e0, 0x771be27f, 0xcf095ab0, 0x101522ad, 0x99db61fc, 0x8bd2e26c,
+    0x9ee6d1cf, 0x8b9352e1, 0x73412e2c, 0x3f896e87, 0x60c7b021, 0x4ce5960e, 0x5460cde3, 0xc21b4b9a,
+    0x2c9be26d, 0x9b0b1286, 0x4d129030, 0xddff636e, 0x81e48331, 0x8168c5d9, 0x4d447a68, 0xfb4dccc7,
+    0xe1506040, 0x7b701272, 0x274394c5, 0x26f01e78, 0x9bcd2a80, 0x2a7d6fd3, 0x9c94c009, 0x8b3d96a0,
+    0xf91cbb3b, 0x8b27b1df, 0x02ce4060, 0x7506f38e, 0xa88b9063, 0x2cdfd890, 0x2e99f6fd, 0x651db029,
+    0x61092d8a, 0x8dfc1093, 0x455b4e59, 0x22d2e264, 0x355cf2fa, 0x3a32ac94, 0x0a613a14, 0x78844174,
+    0x25c11a93, 0x1c73caa3, 0xaf2fbf52, 0x7817ef9b, 0xe1d38abd, 0xb0c441fd, 0x3081e305, 0x79aeb07f,
+    0x845f2181, 0xd9298cac, 0x4106e6db, 0x2faf554b, 0x37bbcfb5, 0x44ee690c, 0xeba3675c, 0xab1fffa9,
+    0x870f6b11, 0xba917ebe, 0x5bedd81d, 0xbf8b8f96, 0xb86216ba, 0x740ef803, 0xeb91e620, 0x9b6cc8bb,
+    0xf257a767, 0x573d8009, 0x1dfe8f1e, 0x2a16a40d, 0x4f11841a, 0x70671e58, 0xf059174d, 0xd02b11cf,
+    0xac492f1e, 0xa8e7a8cc, 0xf4c520ba, 0x02a906fc, 0xb57e7121, 0x08e8d77f, 0xd57b6696, 0x4f3f9fef,
+    0xbe95719c, 0xaae73768, 0x54e115dc, 0xd72d9bd4, 0x61edfbb8, 0x0109d331, 0x8049c52b, 0x36fc890d,
+    0x782f586d, 0xb8921a2b, 0x2ede2e3b, 0x8735f72d, 0x23ec91c6, 0x0b08ea1f, 0x8d7b9269, 0x04383df1,
+    0x5c21128e, 0xb659c5ad, 0x0f24821f, 0x66d66511, 0x8d05c933, 0x0b6ae605, 0x1833791e, 0xe684be2e,
+    0x7026884e, 0x0615122c, 0xdfd1e36c, 0xb330e4f9, 0x4905329c, 0xf3ddea90, 0x1b16752c, 0x6ec63ad0,
+    0x56d7089b, 0x195b1c00, 0x266e8baf, 0xeba94300, 0xf47e0fdf, 0xe2c06505, 0x9d602bc1, 0xef5f5ac5,
+    0xa43c6baf, 0x9f82633b, 0x7b463bb1, 0xe88f9185, 0x099abbf7, 0xc6899b94, 0xe276a6e6, 0xc1894085,
+    0x06609100, 0x5c21ac98, 0xe9bfb2a5, 0x770626ca, 0x889106a4, 0xe639a86a, 0xe3de44bb, 0x6d4e4bd3,
+    0xf6c03936, 0x6daaa48a, 0x576df94a, 0x1a50034d, 0x2e9c9580, 0xdbc91def, 0x4fdb8d48, 0xa2689b20,
+    0x4584088d, 0x488a7147, 0x6b28dbe9, 0x20415a98, 0xdf47bdc4, 0x75db6961, 0x9895cddd, 0x3c4656a1,
+    0xb03e46be, 0xfdcdc847, 0x9aaa79e8, 0xe41c5785, 0x5e9a429a, 0x502ff4fc, 0xafb2dcfe, 0x7f092e52,
+    0xb45b1362, 0xa79d7ade, 0x6a6e7f07, 0xe1aefe7e, 0x9fe0793e, 0xf610c3b6, 0xcd8d0c80, 0x5eca8f9c,
+    0x37324dd6, 0x9949ed7a, 0xe949be8e, 0x03cb35ba, 0x75f08056, 0xa4def049, 0xf72a9f4e, 0x7eb5b25f,
+    0x67c800cd, 0xa577aeef, 0x92ad025a, 0x6c529742, 0x65f73610, 0xab0b0c3b, 0xd936d227, 0x679e9d37,
+    0x7251ad0f, 0x949b3ef7, 0xed1006b7, 0xd4986165, 0x38743f47, 0xd9e452b7, 0xb4ed9f03, 0x226d18a1,
+    0x38c49f48, 0x00d05204, 0xef245c1e, 0xb7b045a0, 0x350c542f, 0xd1d3e3e6, 0xb733ef25, 0xa51401a2,
+    0xad9f1a17, 0x43254d0e, 0x0ccf541b, 0xfb09ed87, 0x4498f2e3, 0x6248b020, 0x214f0a28, 0xe6ed277b,
+    0xd3df1bc7, 0x4921d277, 0xd1ada96a, 0x32230cc4, 0x587e917f, 0x16961e92, 0xdc12cdbc, 0xbc84eac2,
+    0x586896dd, 0x00079c3f, 0x3d1ceec5, 0xa80152ab, 0xf7c0e2a8, 0xf2dc1e7c, 0xab41c403, 0x79e48240,
+    0x1941eee8, 0xc77f5997, 0x44f6cdf6, 0x7711c26b, 0x232c061e, 0x5b6098a2, 0xa1c75f45, 0xcbd9b868,
+    0x9425a4e2, 0x2ff26780, 0xc248d689, 0xf055f450, 0xb60f665a, 0xba64acbc, 0x213e1030, 0xd5e74a65,
+    0x1e915b6b, 0x8fcee4cc, 0x27a7dabe, 0x1d9eb606, 0x3373ecd8, 0x7cb89295, 0x95c03bfc, 0x73a1bbe8,
+    0x9b88d336, 0x31a44619, 0x32a4d427, 0xeade7555, 0x35a8665b, 0x3de90832, 0x638d20ec, 0xb066ab6d,
+    0x6387a15a, 0x640a65cc, 0x5775cbd3, 0x8e2dda0c, 0xa30d86e4, 0x908f8c67, 0x133ff7a3, 0x815ae6ea,
+    0xeefeccb5, 0x16343fd1, 0x773140c5, 0x523b0c23, 0x8198872a, 0xbc86c863, 0x51b81726, 0x8ba29031,
+    0xf3dac802, 0x56f2524a, 0x7b586005, 0xfc18259b, 0xa6695249, 0xcbeb0116, 0x1f66a325, 0x76843b25,
+    0x0c96beda, 0x86ba7a8e, 0xf161c305, 0xeea0b92f, 0xf34dde0c, 0x311189d9, 0xf72d7702, 0xd3e0d593,
+    0x9ad21e40, 0xbb3a217d, 0x54d70e2d, 0xa7e9707c, 0x04b20fbf, 0x00a53c0c, 0x2c063f58, 0xdc78be11,
+    0x8622105c, 0x76c15f1f, 0x27f5ce00, 0x5517e5bd, 0xebfd79ea, 0x7e3988f6, 0xc5a9e6d9, 0x8e742fb9,
+    0x58b48a33, 0xd9b96b71, 0x3b2dde3f, 0x54845f65, 0x20f9f5b7, 0x79406999, 0x2586b7d5, 0xea59983c,
+    0x5197184b, 0x2a75ee8f, 0x800de076, 0x4f9d658b, 0x0afb93f8, 0xaa76e478, 0x1d4d8a00, 0xa4fbdba2,
+    0x89c7d049, 0x5c0d97c6, 0x5bd931ea, 0xe2016793, 0xfc79c0e0, 0x9fdca3d5, 0x86fcf693, 0x8a63c2d6,
+    0xceb39a10, 0x2e61ba10, 0xfa66f6e9, 0xda385611, 0x7e49c8b1, 0xb513129c, 0x0f807ab7, 0xf8537cd1,
+    0x06c6954d, 0xc4d1ffb9, 0x78446712, 0x09be5057, 0x3d4d7465, 0xd348e3e3, 0xac4532f7, 0xd2b3bc11,
+    0x699b8f34, 0x89e61869, 0x56dbc3f3, 0x7e63144f, 0x6911ff5c, 0xade3714a, 0x8a17d57f, 0xcf8e1dcf,
+    0xcddbb41e, 0x54e422f2, 0x31de6441, 0x53d4b8b0, 0xa9071de1, 0x8c051790, 0xcfa5c511, 0x6a1b7eb5,
+    0x64e5a668, 0x0fbd19a1, 0x694ebfa1, 0x43234c6d, 0xa8f4cbdb, 0x0eff0cfb, 0x8f65657f, 0x3d6b61c2,
+    0xea156908, 0x03bf1021, 0xa6693241, 0xb76f92cb, 0xb6a262e9, 0xb1ff0b3b, 0x4e7ebc2b, 0xe5dc06fc,
+    0x08253a67, 0xd6405e6b, 0x38904d56, 0x9d2cd176, 0xb0c744c6, 0x09227d66, 0x613d2796, 0x8dd342ef,
+    0xa8534e9d, 0x608fdc9f, 0x7dfe2e0e, 0xe9baa263, 0x7029f515, 0xfee35194, 0xec9a729f, 0x3a088704,
+    0xdafe1d54, 0xeda39708, 0x2bca3cf0, 0x0a75c36a, 0xe8f4eb3f, 0xb54420e9, 0x41456381, 0xde0f63a4,
+    0xb8c2938e, 0x4e07479f, 0x72b9e518, 0x536f9c43, 0x40c586d8, 0xf9c976e2, 0x6e2c2d94, 0xc121d174,
+    0x8dfc1435, 0x399f6764, 0x9a5c9be4, 0x9f04e268, 0x72ec3c36, 0x55e34293, 0xa884b39d, 0x76faeda8,
+    0x060710b0, 0xc4b0515a, 0x3f25ebb6, 0x3df43ed0, 0xb91e14b4, 0xb003d4b2, 0x835b287f, 0x72579af5,
+    0x2adca66c, 0x6d5a0ba3, 0xe6157651, 0x8056776d, 0x3786600f, 0x6c55370d, 0x99bc0bfb, 0x6b127f06,
+    0x44f8dcdb, 0x84f10252, 0x327317e3, 0x921259e3, 0x2cbe8ead, 0x6bf904ec, 0x3df59033, 0xfb8b565f,
+    0x2b5426a0, 0xe9ad834e, 0x1fc0b6cf, 0x33838ec2, 0xf5b04e28, 0x020cd726, 0x21941872, 0x5b61e580,
+    0xa38392ee, 0x7d6d0c4c, 0xb780b937, 0xc7ee0156, 0xbb7f7204, 0x3ed5be71, 0x1faf8b3b, 0x26ff5654,
+    0xea5a2214, 0x2d649a9c, 0x9b572940, 0x7136fd41, 0xc2aa775b, 0xf2b3586d, 0xb126e999, 0xd1137592,
+    0xea8a018c, 0x9b72bb6e, 0x7cebdd34, 0x8d243d90, 0x44961003, 0x08c94d40, 0xb1a01687, 0xf68eb464,
+    0xdbc15238, 0x7e67e696, 0x1e2baf60, 0x82b662fc, 0x653675a9, 0x1e6f0be5, 0x213e8fdf, 0xd862de27,
+    0x9f24f1dd, 0x2198c9d8, 0xefda14cc, 0xe11da6bc, 0xb4d70a62, 0xfc17a8d7, 0x4113aa5a, 0xd6793892,
+    0x0ba7bc64, 0xab549241, 0x251c4578, 0xebc8050d, 0x5c5cb7be, 0x6338bd6b, 0xba9ed15b, 0x8c279efd,
+    0xefabf06e, 0x659fc627, 0x60020fd6, 0x29f25a9f, 0x26225441, 0x28fb9594, 0x58bdb69e, 0x3a10ff16,
+    0xffcba41a, 0xf38f022b, 0x9687d11a, 0xeb78ecff, 0x7ac1e7f7, 0xda51e0d5, 0xce69605d, 0xe5bb0a96,
+    0x3a92b50f, 0xa78d1125, 0xb3d20490, 0x5541adcf, 0xc22672de, 0x724d3979, 0x9b4aa276, 0xc630c14e,
+    0xaeb010b5, 0x0ddccba3, 0x71d5bd5e, 0x62632e03, 0x538c4dae, 0xf68b2519, 0x32824e1c, 0x8bbca0b5,
+    0x6d88366c, 0x62188e1a, 0x5867df06, 0x4d1030af, 0x35a0b251, 0x586ce1d1, 0xf004a6ce, 0xce79b51c,
+    0x2ccbcb2d, 0xef170706, 0xa71e24c9, 0xa738598c, 0xa7108ef8, 0xfae3f3ed, 0xee0b0d1e, 0x8ebfae2d,
+    0xd2577ca8, 0xd4f8baa5, 0x7b824ce9, 0xb4db3a8a, 0x2ef34d59, 0x2b257cb5, 0xd9fbaa1b, 0xd662c15f,
+    0x7a04fb18, 0xa91b7bf5, 0x55a3e7e8, 0x17941e37, 0x825e3207, 0x9598303f, 0x2045acbf, 0x15d6255c,
+    0x042f595c, 0xd47ff064, 0x2b0b21f5, 0x3574eb7f, 0xe97b8f73, 0x0acf0ce8, 0xb27523c1, 0x9c8c418a,
+    0x97387efb, 0xe953ee55, 0xecc26c27, 0xf2040c96, 0xab123732, 0xdd713fcd, 0xec1c05f1, 0x026adc4d,
+    0x221cfdd5, 0xc755e708, 0x61d2c507, 0xdf251f71, 0x1b896f93, 0x9471e974, 0x1d68fb5e, 0x9186bd11,
+    0xf7479df8, 0x1c87ace6, 0xfa977899, 0x32287dec, 0x5dce46a3, 0x1628c438, 0x322849fa, 0xaddceeda,
+    0x47cfcdfb, 0x152488ca, 0x84cb3fd0, 0x25b7712d, 0x8e0d37dc, 0xb523e063, 0xb06929d9, 0x5838d404,
+    0xccb49092, 0x9005e76d, 0x6c8a22f2, 0xf51b3047, 0xea4e5406, 0xcdcadb61, 0xbd201c92, 0xe65537c0,
+    0xbcb942dd, 0x683f596a, 0xe0d550c7, 0x87f86445, 0x80a1bace, 0x4e3dc74d, 0x183aaf11, 0xbed6bbe5,
+    0x1bc7c97f, 0x0a58ee17, 0x1738e536, 0xd528afb7, 0xe8f5ddec, 0xa0048443, 0x20fe5ff9, 0xb0911ae1,
+    0x4f46860d, 0xd380d683, 0xf0ad28da, 0xba0cb79e, 0x8d273d9f, 0xe815865e, 0x38f008d4, 0xb2f26e1c,
+    0x2287aaeb, 0x6fb3ef11, 0x631b21c4, 0x74bc2f7d, 0x475199e5, 0xa2822f28, 0x2c0904a3, 0xd9231425,
+    0x12227a91, 0x7680874e, 0x93403095, 0xdf974b6b, 0x4373fe75, 0x9d0e0ba9, 0x83834fd0, 0x65127e36,
+    0x59b0908a, 0x1cae78da, 0x2de30aeb, 0x897885de, 0x02fea10c, 0xa1dc0f94, 0x365b3f25, 0x75c98287,
+    0x7e1fe4be, 0x0e1bdd7a, 0x85e9e1be, 0x56635a70, 0xfc18fff2, 0x938e7801, 0x241cc551, 0x0b0a8dc5,
+    0x646b9628, 0xabb0cbac, 0xd011e79c, 0xe6d25767, 0x5c32de7f, 0xc57b2171, 0xbcbf206d, 0x3d75418a,
+    0xcc44b7d3, 0x07be4556, 0x141ee9a9, 0xa9c61f8a, 0xe533cc89, 0x832954a1, 0x5618f9c5, 0x2ba31803,
+    0x9e20ffcd, 0xd26d8520, 0x9b611181, 0xaf31a4d2, 0x47f3e547, 0xfcd2c681, 0x578aec6e, 0x138c4cfb,
+    0xcd411ec0, 0x3b486527, 0xa0efd7c5, 0x8d3a9cba, 0xc25543b5, 0x9ed9b814, 0xcbce0c52, 0x56aec8f2,
+    0x31e4a93c, 0xea088e2d, 0xd986929e, 0x1145d4e1, 0x83412e40, 0xe05ed9d9, 0xc4a463ae, 0xef7a0dff,
+    0x83ef0551, 0x6304c51e, 0x7a7907ec, 0x0c8ec5b4, 0x8f113753, 0x4fd3d56f, 0x1ee4b2f2, 0xeaa5d250,
+    0xc5b12773, 0x027e25fd, 0x407b0439, 0xe99ecd62, 0x2d0d34fc, 0x8dde2642, 0xbbad3caa, 0x704d73ca,
+    0x05588369, 0xa5fa0ab0, 0xe4ac6749, 0x6f30fd82, 0xb6a72416, 0x925d7c39, 0xfb728d5c, 0x1382f301,
+    0x71f89b46, 0xb42cf98f, 0x9cb2ac68, 0xbf830d3e, 0x8957f041, 0xe5f2bd7e, 0x060e0ac6, 0x23490564,
+    0xc4f1b8f2, 0x9b16319f, 0xc2aa5ffe, 0xad03e197, 0x85cd04c3, 0x53220bff, 0x6b3e436f, 0x7eba9565,
+    0x77e51f58, 0xb4c7f124, 0x35910551, 0x6975bbac, 0xf451ab28, 0x6f5c159d, 0x78d3b280, 0x23566440,
+    0xe1c4d6a5, 0x79ef3de3, 0x10687816, 0xa1e553a0, 0x5841697f, 0xd4545b9b, 0xf0fd6a7a, 0x7aae9d00,
+    0x0c8cdc17, 0xf1403f6c, 0x111d8667, 0x73236180, 0x4aa29a13, 0xdfe6d06e, 0x9c8f6cf8, 0x3489b77b,
+    0x9d54cc68, 0x0d988b12, 0x8fd4e899, 0xd790de5d, 0x82611947, 0x1b5bfaaa, 0xdf7a10ae, 0x7e02ca1b,
+    0x6a0dcf7c, 0x6352a09e, 0x1ce55b32, 0xc3208b48, 0xa273872a, 0x26f9f8d2, 0xcae82ab8, 0xb182c96b,
+    0x691a6e3f, 0xcf76c819, 0x1291b61a, 0xaf94be37, 0x506f8bb2, 0x1bcf32da, 0xdcdab2c6, 0x2091d18e,
+    0xed07f8d2, 0x8dc73c8e, 0x219e9a3b, 0xd8a7b9cb, 0x7bae4a72, 0x2a5a15b1, 0x42ae854b, 0xa59af515,
+    0xe5d85f16, 0xebb352f0, 0x2261fbbd, 0x3978bf92, 0x3e4df192, 0x4c678867, 0xda9552af, 0xc19ca9ae,
+    0x169b2468, 0xc877d7a2, 0xef8ac327, 0x53be96a4, 0xc58fcec9, 0x884f263c, 0x10a6ec8e, 0x1ca6de49,
+    0xae037fca, 0x3b04c3ff, 0xdec074a5, 0x4ab7e31c, 0xb05d1b6d, 0xab66b327, 0x8fafaa9e, 0x83e88b32,
+    0x486eaf75, 0x09ece6cc, 0x0bda6418, 0x4a61c38f, 0x1e836427, 0xa180b026, 0xcd8a90d9, 0x7604c4a7,
+    0x9a5663d7, 0xc4b22eae, 0x75d4a046, 0x9917af08, 0xcb4d2a0d, 0xc8fc6dec, 0x22e301c0, 0x8ed67aa7,
+    0x9d5d62e3, 0xb4a212c7, 0x0dabac72, 0x9228cbfa, 0xe53fde4d, 0xd2684042, 0x94671b16, 0x6852209f,
+    0x1de64d70, 0x82cd67f9, 0xf43e92b5, 0x80add712, 0x614a64eb, 0x7c5d01cc, 0xe2dd12e4, 0xfebd1d7b,
+    0x5fbaf43a, 0x9d1e8982, 0xf9d41157, 0xfccfde39, 0xc03e8a8a, 0xcaa54dc7, 0x4f7ffb78, 0x2d0e8db1,
+    0xcd83a87c, 0x39f95ca8, 0xebee59f0, 0x7929b6f2, 0x58ceeb57, 0x27521144, 0x00adca1d, 0x3f74a2ad,
+    0x04c5f33b, 0xab966135, 0xdf72d429, 0xdd4f6ca6, 0x4b2fd869, 0xbd5e257c, 0x0880b256, 0x0f61c5a1,
+    0xa8e92d92, 0xcf5b27fd, 0xf60a6251, 0x270e9107, 0x1167c316, 0x8c80372f, 0x7bd4d9c3, 0x4c726df2,
+    0x506a572f, 0xbbd12834, 0x2ad3f133, 0xc3646fde, 0xb51f013a, 0x81c0f25e, 0x9f81da12, 0x859baa03,
+    0x0310d5b6, 0x1ad021a5, 0x49cbb296, 0xe6e82352, 0xc4c3adb8, 0xa579c0a5, 0x10697e91, 0xba67ba19,
+    0xd18c0194, 0xa449caf7, 0x41d6b6d8, 0x168b2e11, 0x4fb118eb, 0x8bae1418, 0xd009c36b, 0xd2575d41,
+    0x0077da42, 0xbf3c6a3e, 0x12315fdc, 0xfb1e067c, 0x371359fb, 0xd819da95, 0x7673679d, 0xbdc877c0,
+    0x2f5657fd, 0x111f56fb, 0xd1c6753e, 0x8185d849, 0xa9313040, 0x05d01266, 0x013ea914, 0x93e615df,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000009444732965739290427392 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0cb, 0x91d406da,
+    0x00000000,
+    0x9f04b2da, 0x7e31554e, 0xb7463027, 0xdcada68c, 0xf01c0df6, 0x003d5a41, 0x674c3f9d, 0xe92a65bf,
+    0x2655dd75, 0xb99f35e1, 0x6cdf8820, 0xc5401cc2, 0x54c69cec, 0x0c6065e3, 0xebcce62f, 0x48192398,
+    0x895279b7, 0xa269cf38, 0xd65d4ba0, 0x2d87ae72, 0x9597a8c0, 0x5c5ab2ed, 0x717404ea, 0x9de5a22c,
+    0x6505c71a, 0xfe433efe, 0xa221a02f, 0xd0b3ec31, 0xae37bfef, 0x8299abe3, 0x6ef8eb02, 0xb14a41c7,
+    0xf73c1570, 0xb263bbcb, 0xfe6eef56, 0x21498456, 0x29cc326f, 0xf0495ee8, 0xe6914c99, 0xdc8d5bcc,
+    0x18439fc8, 0x84e18ace, 0x7dbab206, 0xc6c4c2f1, 0x7a4bba69, 0x3f47b2a4, 0xc47fb472, 0x854d8258,
+    0x37ae62d2, 0xc0468791, 0xd58a8dd7, 0xe13a8d18, 0xfa21a242, 0x079a3e45, 0xcf2440e2, 0x5cf36fe6,
+    0x2558f3a4, 0x630f0baa, 0x8445836a, 0x5315dc9e, 0x869e9f67, 0xcdb55499, 0x719ab87a, 0xa1265fae,
+    0x57e4cf88, 0x5e7cc163, 0xdaf9698a, 0x3edecc03, 0x7a07e4ab, 0x67c69f21, 0x783e5edd, 0xf1a2f97b,
+    0x831d2f1e, 0x9df2ffec, 0x950b92bb, 0xb3290f16, 0x0196dd7b, 0x2ca7ae81, 0xfed7b500, 0x73d4d86f,
+    0x6a9bacf2, 0xd0674f85, 0x2197325d, 0xa87ca0ea, 0x2e08f481, 0xbb0fe41a, 0xf19475ee, 0xefd98ee2,
+    0xba3188bd, 0x75d0caeb, 0x84658cd1, 0x3f1093f9, 0xfed4164f, 0x609a3298, 0xaae5f8ac, 0x7071c726,
+    0xcd15efd9, 0xf05a487b, 0xdabe1fd3, 0xd91fdde0, 0x787b5b92, 0xe3af3ccd, 0x6df07ebd, 0x121167ec,
+    0x7f761eac, 0x98571049, 0xbbd78130, 0x54754e7d, 0x2a3e9ccf, 0xab241240, 0x66e1301d, 0xd3c3742e,
+    0x97fc066f, 0xec2dbc6a, 0xb1a40c31, 0x79554196, 0x33025fa9, 0xe13e45f3, 0x9fecf6e2, 0x061e6e57,
+    0x6ec84efb, 0x424cb434, 0xba5c2b99, 0xdc612e3f, 0x6334f415, 0x1900490f, 0xe6b146dd, 0x8f900bbb,
+    0xabae4596, 0x015dba83, 0xb80ed66e, 0xd8f3775d, 0x0369becb, 0x094dff3b, 0xc3a7c3d6, 0x5edfc597,
+    0x91768359, 0xe61e67bf, 0xc6c84332, 0xdbf89581, 0x2ae921af, 0xc6e4b513, 0xe1b604e7, 0xd4fc2c38,
+    0x5712a267, 0x996565c3, 0x8b56d821, 0xf7e036c5, 0x65eb0b91, 0x669ea53a, 0x480b216d, 0xe1eea1a6,
+    0xbf2899a5, 0x79d9d1c3, 0xc898d0fd, 0x51ab9b52, 0x24371b7b, 0x1861bd02, 0xe8bbb59c, 0x125bd1f4,
+    0x594c07b1, 0x084bd3d0, 0x9e4cec0b, 0xb411439f, 0x0e4e4f83, 0xee417e4e, 0xbc537e72, 0x60df673e,
+    0x652b97d3, 0xc1e34b7b, 0xbc7e07cd, 0x7377495a, 0x3aec9cc4, 0x240fd05f, 0x0d1c836d, 0xac2cbc8a,
+    0xa92b8856, 0x28d2914c, 0xa3cc2217, 0xf7857d43, 0xcbc95d57, 0x348b1fe2, 0x95c7de5f, 0xaed3e3fb,
+    0x8ae6e082, 0xc396320c, 0x55058be6, 0xf8b7b2b0, 0xfdd64c76, 0x3dff10fb, 0x8872e3a2, 0x0f752dac,
+    0x5012c1fb, 0x2b56d5b0, 0x497f54d9, 0xe2a6f49a, 0xdf9a7d0c, 0x6bcc52ca, 0xc1dddef0, 0x414dbee5,
+    0xde166e83, 0xf06b9102, 0xb61199f6, 0xbf24819d, 0x3f3bbdaa, 0x3a36351a, 0x057ba45c, 0x7038776a,
+    0xb7477c02, 0xc1c10a1d, 0xe589ada6, 0xcb8182c1, 0x9ad4c7a9, 0xd0e21b8c, 0x58276fe7, 0x99098239,
+    0x76fb0919, 0x744efae9, 0xeea6470e, 0x9f5bc4a8, 0x882c3c3d, 0x620c69fe, 0xd5bbd080, 0xbb390765,
+    0x8fe50acf, 0xf8d8fe31, 0xc9ea34e9, 0xbcf28148, 0x3b933561, 0xae7c3b77, 0xbb15a7cd, 0x2ed4e379,
+    0x276d68d8, 0x3af1f8d4, 0x19f34b43, 0x0a79e31c, 0x5a545905, 0xd0c26a49, 0xea448c2f, 0x39194bff,
+    0x5f489e52, 0x414f7479, 0xcb3ddd87, 0x162915b2, 0x995bc904, 0xca40075a, 0xef7f460c, 0x6160aafe,
+    0x7f59a2d8, 0xf2f5f59a, 0xa96961d2, 0xff63ddc1, 0xa04c3e25, 0x8dcce076, 0x46573f0f, 0x58bdba17,
+    0x95cf9c12, 0x8cc059d0, 0x5795f8ad, 0x1ddd54fc, 0x18d12cd5, 0x724aa8af, 0x1397d67c, 0xa675193a,
+    0x3de3392b, 0x42fdbba1, 0x2a6b1b24, 0x7b93bfa8, 0xf6a393ab, 0xf3292ebd, 0xb97cc2bb, 0x682520da,
+    0xde3abbf8, 0x958eeb5f, 0x0ba818c1, 0xb7ef9719, 0x710a3826, 0x23cd1b0a, 0xf2230e9b, 0x69901c19,
+    0xb039984e, 0xb8c19db5, 0xe89851d3, 0x80a5cf0e, 0x4d6b322d, 0x73779b21, 0xde79fe21, 0xe9456b03,
+    0x7753bfa0, 0x0218a77f, 0x46558757, 0x1638650f, 0xcd9af544, 0x43e129fa, 0xd889596c, 0x4f79a242,
+    0xb6ffbfbb, 0x40d61b10, 0x696974e3, 0xc1153303, 0xd33b5929, 0x63d71040, 0xb7d9de3e, 0x40c00ac5,
+    0xdf1e8c96, 0x99f1aec0, 0xf66ab94e, 0xb44170ec, 0xdbd2ff8d, 0x3657447a, 0xcf8ad94b, 0x65879bc1,
+    0xfb64d5cf, 0x2be56440, 0x62c74668, 0x484494da, 0x8990a626, 0xe93c5597, 0x5e9bc2a2, 0x70cf5b5c,
+    0x92c7ce80, 0x540d50b3, 0x64d7397b, 0x7202029d, 0x0153e7ed, 0x9662ba62, 0x68860339, 0xfa240442,
+    0x78f292cc, 0xedf74a85, 0x487f71af, 0xbeb3c877, 0x56ed746d, 0x2ef0a803, 0xd1c5a8ed, 0x47b75bae,
+    0x1acfedc1, 0xd6c72dd3, 0xe1758f32, 0x702971a4, 0x5318b764, 0xd036ad74, 0x1e92a7db, 0xd54a882a,
+    0x679117ec, 0x7e59b2b6, 0x5a9029c2, 0x01384e19, 0xf3926dd7, 0x46637353, 0x7d900b83, 0xdc3d7db9,
+    0xfcd3f9ac, 0xca76d70d, 0x1ed98caf, 0xe39011ce, 0xba4bb867, 0xb566cae6, 0xde446a55, 0x492f588f,
+    0x743a5f87, 0xdb7318e4, 0x8ce57228, 0xbc2d1e43, 0x3d2e74b5, 0x30616315, 0xaae6ca19, 0xf01f5ab9,
+    0x3cdc7f7d, 0x663adf39, 0x6e2ff503, 0x028bc6fc, 0x1b0b8893, 0xb24f8b6b, 0x05da52ae, 0x428fa22c,
+    0xbe823da1, 0x647fd18f, 0x2f1f52f6, 0x474a5aea, 0x867e7f07, 0xb183ca04, 0x4f8af36d, 0xfff421e6,
+    0x5709bdbc, 0xb16b2588, 0x2b3691f1, 0xf4d8dc9b, 0xcc083480, 0x710efc7e, 0x5650325f, 0x3aa666b5,
+    0x469b008b, 0x223ce90f, 0x40ea963f, 0x08e928d7, 0xe955e7ee, 0x373491ec, 0xa09b53a0, 0x8164a142,
+    0xc2e9281c, 0xd6a434cc, 0x7a2fee82, 0x3ed8fd68, 0xc05b7bb3, 0x9f502595, 0x46221a1f, 0x2d60c580,
+    0x874581ef, 0x8f6fe8bb, 0x24595a62, 0x1594b31e, 0x5ab86865, 0x1cae82eb, 0x23c3972d, 0x464e903e,
+    0xb40bad85, 0x0b447383, 0xfa51630a, 0x9a62d02e, 0x49b8d85b, 0x92ead90c, 0x140f5231, 0x5aa95eb9,
+    0x19a153e3, 0x97d38d07, 0xa7219144, 0x13a14894, 0x331fdf85, 0xb917b6d3, 0x2a69015a, 0x73173a7d,
+    0x0877f094, 0x8c272197, 0xf6401e29, 0xb5654727, 0xeac55d68, 0x7b514804, 0x1e75df06, 0xd2c375be,
+    0x2c72b26c, 0x09c38617, 0xbae6f73a, 0xf77f5818, 0xe2e0ed23, 0x802771fe, 0xa184a5d4, 0x153253fc,
+    0xd060bf10, 0xd28010ea, 0x3b602133, 0xe32f8420, 0x99bf3a90, 0x0052c55d, 0x16c5bda6, 0x0aa697c4,
+    0x64ef18f1, 0x23c2a8ad, 0x2abd9e22, 0x95b60ecb, 0x4296ef2d, 0x803c8e31, 0x53339eee, 0x63df8a01,
+    0x21e90221, 0x930fb6aa, 0x33890f4a, 0x24140591, 0xaf458d13, 0x7d78fe0f, 0x9d84e20e, 0x34ba3081,
+    0x7b2089c0, 0xb5f5a516, 0x6d3c107f, 0xfc7aefcb, 0xe32d20cc, 0x1b4f5e45, 0x9d379924, 0x197b9f83,
+    0x0947d08b, 0xa862496f, 0x7f6ee187, 0x5cfd2bcd, 0x8c69d756, 0x8116be74, 0x37c02fef, 0xd18d0a7d,
+    0x6639ed35, 0x47519112, 0x90cd4a2a, 0xc84eee90, 0x7fe0779f, 0xdfb04b17, 0xcd7f267a, 0x69272bb4,
+    0x0ac4ffdf, 0x1fc98019, 0x8810e7e3, 0x1b5893d8, 0xf7d7e381, 0xf23fbe13, 0xa02e3e7f, 0x61c5d421,
+    0x99db3e64, 0x76c7c1e9, 0x4d7c31bf, 0xc0ae138b, 0x751f140e, 0x21712304, 0x06c68051, 0x73c1f72a,
+    0x400838ad, 0xb7c24724, 0xd825af09, 0xa8c0e680, 0xf77d58e4, 0x09a3e757, 0xd305b578, 0xce874c54,
+    0x7e524e62, 0x47b11dd8, 0x81735281, 0x303d71ad, 0x23340a64, 0xb5ffab50, 0xb5b9a680, 0x89233c04,
+    0x2991333e, 0xa302391c, 0x604ae118, 0xc3d8149d, 0xdeb182d0, 0xaa4c4733, 0x36483e21, 0x1ea725a3,
+    0x70b062a2, 0x76d7f4a8, 0x82aa38e0, 0xc67fac1a, 0x1d5f1b84, 0xfafc3558, 0x4ccc6c8e, 0x42cc037d,
+    0x16fcb493, 0xb19a2fb1, 0x239dd8f0, 0x63661f44, 0x35300f85, 0xfa188327, 0x58fd00f5, 0xc61bc2cc,
+    0xe559fe7f, 0x303259b3, 0xaf0eb359, 0x6bd4aca5, 0x8eacace7, 0xa6ddcc09, 0xf8445a23, 0x1941d4a8,
+    0xe8aaf39e, 0xc0c3a41e, 0xb60c18a1, 0x5b309b25, 0xee5f9ad6, 0xdb8b0cab, 0xcd281125, 0x7ad89fa0,
+    0x849f60e8, 0xf315b92f, 0x513670e6, 0x2d605284, 0x631b2452, 0x2cc2286e, 0x24bd0f60, 0xf527ff75,
+    0x88950fa4, 0xc0411543, 0xbef9e117, 0xfd002dd7, 0xbcbd80cb, 0xbc13d4bf, 0x574a876e, 0xf050149f,
+    0x955da18d, 0x390b44c5, 0x28fdce44, 0xfc77aa9e, 0xd194a2a8, 0xaf9fc7c2, 0x2eaf1f1a, 0x76d4ee2b,
+    0x222b4d23, 0xc550c197, 0xd3c6868e, 0x5d2c8bd4, 0x2d68888d, 0xcd7409d5, 0x68b4d240, 0x58345e67,
+    0xc832aec5, 0x9288bfa1, 0x152f6013, 0x4dbf7402, 0xca290c04, 0xd8198e5a, 0x3ab010e3, 0x905938c7,
+    0x6d1f162d, 0x271676cf, 0xc9bf8379, 0xafc9aa0b, 0xf020aef0, 0x1452afe1, 0x8431a06e, 0xbfba2113,
+    0xeb7517da, 0x4a28dac7, 0xddb33074, 0x7c25b199, 0xf4d040bf, 0x5043a8aa, 0x26e34834, 0x46cb6889,
+    0x598fcc6b, 0x208135f8, 0x6ac19847, 0x8f3a9c34, 0xb8bf5737, 0xb29fa862, 0x00619fdd, 0x13851864,
+    0xb9935536, 0x5b08e065, 0xec4c9745, 0x2969cb0e, 0x522360d3, 0x08bceab8, 0xc924475d, 0xef740561,
+    0x5f82c706, 0xfca355fa, 0x9cc9feba, 0x08e68b15, 0x67fc313a, 0x3abcd240, 0xa1c58afe, 0xd44edc57,
+    0xf5859cb0, 0x0a41b521, 0x23b9c689, 0x75804adf, 0xfb5a0cbd, 0xa0c86d46, 0xf7fb4756, 0xadb8cc9b,
+    0xf75c309d, 0xe59e2568, 0x73b39f8a, 0x604f63d8, 0x556e4b4b, 0x4a4f64e0, 0xe8842de2, 0x56caf695,
+    0xc2a4230e, 0xc144130d, 0x68d214c1, 0xb2db95a2, 0xa14d99a3, 0x8930b80b, 0xe8407912, 0xf95f78b6,
+    0xd255767c, 0xda3885ed, 0xbbe3358b, 0xf253c9d3, 0x395f0d80, 0x9e7486ff, 0x8141ef6e, 0x5374f00a,
+    0xf5c85f23, 0x02a4ebec, 0x5edbf92e, 0xa639b174, 0xcf2d1883, 0x0b9a8f0e, 0xadc8d0da, 0x5f392db0,
+    0xc3510fe1, 0xf6b5e14d, 0xc0c1e18a, 0xb464f7ad, 0x5044c9de, 0x8f59f56d, 0xd4d4bf0a, 0xccb71e91,
+    0x161ad312, 0x02762e03, 0x3581f534, 0x176d3d3e, 0xd9a2c31f, 0x028ca92e, 0x9d25f05c, 0xc0a90dad,
+    0x9e048be4, 0xb7aaf655, 0x43b53835, 0xef68f4d4, 0xfd9faf30, 0x0809e716, 0x04a3855f, 0xfbcb8b6e,
+    0x509bfb85, 0x5485714e, 0xa371a7ec, 0x75fff814, 0xb3556390, 0x248e770e, 0x22edc689, 0x33c7bb75,
+    0xe7246aae, 0x9eb671f5, 0xd505115a, 0xa63fb433, 0x2b56fdfc, 0xc9e2c606, 0x1dbac548, 0x3bcbe5cc,
+    0x4a06d9c4, 0x0276bb41, 0x1a6356b9, 0x4f938099, 0xd7bd4b77, 0x59936074, 0xf4dd6909, 0xcca60d27,
+    0x945c2e85, 0x7add5374, 0x0423f282, 0xde823313, 0x24957ec4, 0x2463c154, 0x744f17dd, 0xdd1961d0,
+    0xe158beb2, 0x90c9547e, 0xa6552c83, 0x548a3a83, 0x22a4b83c, 0x1be64141, 0x47377a1a, 0x6c8b6332,
+    0x072a2af2, 0xabe1d7a3, 0x2d8d6bfb, 0x39ac199d, 0xf55bab51, 0x8dfe3560, 0x633b52bc, 0x7fcdf07e,
+    0xf61fd854, 0x5ba44992, 0xb8592a9c, 0x478ea384, 0xdeebb495, 0xb6349024, 0x7435d4d8, 0x27ee8578,
+    0x09e46528, 0x62b14128, 0x564e262c, 0x3b97182c, 0xf3d75cbb, 0xff915a6b, 0xb28e489c, 0xfc224a75,
+    0x6e5d6b50, 0xf4ecfdc5, 0xf0b73d96, 0xbc1c7eae, 0xf766f912, 0x6b331ad2, 0x49e04de3, 0x0075fad9,
+    0x3e63ce73, 0xc4c65189, 0x03f2f799, 0x6b7be27c, 0xf975024a, 0x78e2ea28, 0xa504fad3, 0x52015acc,
+    0x9e26ed4c, 0xe909cdfe, 0xb857e309, 0xd2c09aef, 0xedfe4df7, 0x2d8662de, 0xb37ccc58, 0x93c463d7,
+    0xc261a49f, 0x66427b7e, 0x18e6939c, 0x6585b549, 0x52e8bb16, 0xf0b7c502, 0x027c2353, 0x3d98a316,
+    0x47b77b09, 0x38a0d9be, 0x51acf26a, 0x671c660e, 0x96938cf4, 0x4fff6f34, 0x7542c7ad, 0x72228e26,
+    0x05a5dfde, 0xd7dd02e7, 0x559e6a94, 0xca857519, 0xa75eb0f8, 0xd818af05, 0xc431e51c, 0x191ce3ce,
+    0xabfd70e4, 0x87ab241f, 0x555ed075, 0x27bf973e, 0x263574d9, 0xc0f55541, 0xb859ad04, 0xe494cf4e,
+    0xa91f3de6, 0x8b82da1b, 0x269e1de7, 0xef6d7d1f, 0xc56a18bf, 0xc80f0d24, 0xe5a9d4e0, 0x9389ac21,
+    0xab6a4e0d, 0xa56be380, 0xabed93b2, 0x9157deaf, 0x3327e040, 0x413011ed, 0xea923de5, 0x0ecc1044,
+    0x91367f4d, 0x37b4546f, 0xcce881da, 0x8d3b3624, 0xf70eb1a3, 0x6ecbf8f2, 0x7d5e4dcb, 0xfc113c1f,
+    0x71d1eeda, 0xf4373539, 0xb57c640f, 0x357ef7f4, 0xaefe75e3, 0xd97d19fd, 0xa6ef9821, 0x3db8d3ed,
+    0xf403e5b1, 0x3512cccc, 0x6267327c, 0xa57b8dec, 0x44eac8e3, 0x8794a1c4, 0x88b8b63a, 0xc4d32d26,
+    0x2623675e, 0x50aa79c2, 0x6abb4a72, 0x468657cc, 0x9fcbe6ca, 0x20fb6668, 0xfcf1f208, 0x24477a87,
+    0x07d4c1a0, 0xdbb2c1d3, 0x915a8d68, 0x2bb63b41, 0x5fe09f88, 0x93d78e2f, 0x05ed509c, 0xdb2d3fa2,
+    0x907f046c, 0xda598359, 0x77767f46, 0x5eab6847, 0x12d613e5, 0x5d1f573b, 0x3cabca14, 0x4ab7aa37,
+    0x232a94c3, 0x7c033433, 0xdbbc07e0, 0xfd86f88b, 0x22e7d571, 0x03c10d03, 0x78ef3840, 0xd90728a1,
+    0x633b5a49, 0x1b96223d, 0xd63f192b, 0x00a0170b, 0x43f2342b, 0x9ccb955a, 0xd1375931, 0xcc4be49e,
+    0x1a60255b, 0xef4040b8, 0xcd83418a, 0xa55ff47d, 0x2cab191a, 0xa8853b0a, 0xfd0a4b1b, 0xc72803e7,
+    0xff8a38bc, 0x707c760a, 0x232cd3df, 0x4a315441, 0xb5c259c5, 0xa60e587c, 0x576bb7b4, 0x0e1951ca,
+    0xe20adbf6, 0xb982036e, 0xfaa724b1, 0xcacf0ded, 0x62ac59f3, 0xd3bcc944, 0x73adbcbc, 0xa5e4a6b9,
+    0x9dbdafcf, 0x02a5b529, 0x855d96bf, 0x007e3fba, 0xab7a30fd, 0xdaefe785, 0x875abb82, 0x985702c0,
+    0x4c9d3eb3, 0x66809590, 0xed8402d2, 0x20a6f9d6, 0x56935c44, 0x2af75cba, 0x5446009c, 0xe1e7d01c,
+    0x1ecc0edb, 0xa40f59af, 0x90633f2e, 0xe4957a7d, 0xefc64b24, 0xafd501dc, 0x3de3cebc, 0xb36d0bc5,
+    0x40ce4611, 0x2af397f7, 0x4df780b9, 0xedb19fec, 0xc2128328, 0x788a5ed8, 0xa09e5822, 0x6c96b634,
+    0xeb5d04ba, 0xf44f7d68, 0xb00a655b, 0x57c1a03d, 0xdf6a98f8, 0x04eab302, 0x1739dea5, 0x4fa5c0c6,
+    0x5e104624, 0x524dd353, 0xf7dd4d4e, 0xcc52cff4, 0x825b6038, 0x06eea25e, 0x7cb8c27f, 0x4b64b42a,
+    0x4d138db4, 0xcf12e19a, 0x21649e3d, 0x79bdcb31, 0x298bdc4f, 0xe84a911b, 0x08b15635, 0x89eb365f,
+    0x5968dd42, 0x3ecfd8db, 0x6e9bd61b, 0xf12891dc, 0x934be10e, 0xb46adac9, 0x97146a1e, 0x210ea47e,
+    0x7dbade58, 0xabd5e055, 0xfe1fddd6, 0xb052d77c, 0x397c340c, 0x74784b6b, 0x963e7257, 0xeaa6cc13,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000004722366482869645213696 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6865, 0xc8ea036c,
+    0x00000000,
+    0xc9c39362, 0x7890d3a2, 0xac68cf58, 0x1884d66a, 0xc738acb0, 0x10288c0a, 0xb90d12f7, 0x2317d236,
+    0x8094521e, 0x2c49432b, 0xd32e338f, 0x10d9758a, 0x1247ef26, 0x966755ab, 0x9849ec99, 0x709f4a81,
+    0xed3ddb0c, 0xe4fbfcfb, 0x96c683a7, 0x8b91a62a, 0x68c5f6b6, 0x9b8b7269, 0xe98dd93d, 0x847ce878,
+    0x39635384, 0xb8a47de9, 0x41405a57, 0x778b2a20, 0xf4315bcc, 0x91ca33c0, 0x7f9bb1db, 0xa8fb6d66,
+    0xc7dba659, 0x79cff4c7, 0x30034d31, 0x0b78b205, 0xee09940a, 0x2b81cb02, 0xf6178287, 0xa5132b07,
+    0xa0d33348, 0x521cb435, 0x7d375ee6, 0x4a97cea2, 0x7a7d584c, 0x93125e4e, 0x6f82305a, 0xfc69676e,
+    0x16ac3325, 0x40ad03bd, 0x3cb376ef, 0x1f763c61, 0x6d310565, 0x3d38c633, 0xa4565c07, 0xe7f801fb,
+    0xdba21294, 0x62f8fbda, 0x0c798f52, 0x5ba7661d, 0x288d12a0, 0xf6cab9a2, 0x228e37f7, 0x40a8d4a1,
+    0x3f384b60, 0xb4d4008e, 0x2d948770, 0x78814ab6, 0x5fd538d4, 0x736581b3, 0x47bab7c3, 0x7eb0c9f9,
+    0x7ebe244f, 0x1a02aabe, 0xcb10b263, 0xd85701c4, 0x9da5a7e0, 0xec27f50f, 0xa1648e29, 0xa08c4bc9,
+    0x5e98626b, 0xf828e45a, 0x2e19d84b, 0x0221c40e, 0x0993b5bf, 0x5e945957, 0xe0c261fc, 0xd422cc2e,
+    0xd8a042d0, 0x432d1814, 0x54ba0046, 0xe712cbb9, 0x4a524ce9, 0xce4daeb3, 0x16a3e36c, 0x0c97b3bd,
+    0xa0e838dd, 0x96e351d6, 0xdff6a6ee, 0x80ede8a2, 0xbde444d9, 0xa48864c5, 0xc6c88ef9, 0x6599a9c0,
+    0x42e2127a, 0x1678826f, 0x64eb171d, 0x33b4888c, 0x214c1ed7, 0x2e8b9412, 0x1875df71, 0x9c7edd3a,
+    0x192080ce, 0xa4cb4979, 0x5a0527fe, 0xc2c7eede, 0xd0fc3823, 0x47929097, 0x50b0b48e, 0xea6a5bb6,
+    0x651f3484, 0x015a091e, 0xa5cee558, 0xf6a10a0e, 0x6567e185, 0xcc913be4, 0x2a62b8f5, 0x172c850c,
+    0xad113f05, 0x31dd63ef, 0xaf779ea2, 0xfc55028c, 0x07a7bcce, 0x97065463, 0x8aec5d8e, 0x4478c123,
+    0xd48c3479, 0x100327df, 0xf693f5f3, 0xc4ccfab7, 0x188e2dc0, 0xf04f9cc7, 0xb0d4b016, 0x6f1c7546,
+    0x1dda55d1, 0x81eee4c5, 0x4d923e97, 0x88dfd739, 0x21e0032d, 0xd248c294, 0xa82aa875, 0xbc24caa5,
+    0xfac57164, 0x5e4fb873, 0x8bfdb321, 0x4f20b3e0, 0xd4ffc729, 0xf748713b, 0x0f395454, 0x00214b6d,
+    0x0c70f402, 0x6f7cc43d, 0x17c36afb, 0x36632db5, 0xdcd40961, 0xeaebc825, 0x4c005e5a, 0xf11a00df,
+    0xb4d774d5, 0x38fa810a, 0x389a0db7, 0x30156623, 0x9aed72c2, 0x047c35c8, 0xe512968b, 0xc2e1fde4,
+    0x4ba39c89, 0x2ae61154, 0x2c9ceb0b, 0xfc1f99b1, 0x8cec57f8, 0x2f2d6350, 0x082e2173, 0x9a7d6eef,
+    0x7deb22a6, 0x10269b05, 0xd7d3e4c7, 0x57925213, 0xe9568f60, 0xbef335ca, 0x5260ea29, 0x32131c51,
+    0xef5c989a, 0xcf16f559, 0xe5da2d11, 0x75fda074, 0x2789e36a, 0x901e0054, 0xe833c08b, 0xab0d896b,
+    0x420c8dc0, 0xa7cdce92, 0x08b0f795, 0x6cbcfbdd, 0xc4149505, 0x84a47191, 0x390bb1d1, 0x997dcd45,
+    0x18081306, 0xfe2bbca8, 0x54cd98f1, 0x0d6ebaac, 0x0aeec36a, 0xa79d7c2e, 0x95c16e80, 0xf5ffbd0f,
+    0x6fa90035, 0xd6ee9431, 0x05890ae9, 0xf83ec5d1, 0xa7d11c73, 0x10a6561e, 0xf911a343, 0xd64ad803,
+    0x75135542, 0x98e4106a, 0xdcf0779f, 0xcf6960d2, 0x83b43ce2, 0xbb3bb420, 0xaba559ca, 0x86895fdc,
+    0xf99cb1ee, 0x2bafd895, 0x5df78bbe, 0xf286bcc4, 0x44f6969f, 0x03a4df63, 0x6a86f1cb, 0xd1016d30,
+    0xf334e021, 0x2130ee49, 0xaa8e4df3, 0xbd4d3fb4, 0x677d2c49, 0x895233a5, 0xc69218da, 0x2ed0a1a6,
+    0xd52fb444, 0xb3c86051, 0xbd484d96, 0x5b9fcfdf, 0x44650a13, 0x7438dd5b, 0x353ca97e, 0xa70ffb79,
+    0x5f1daaa8, 0x0a09d33e, 0xe53a052e, 0x814f80e6, 0x0f0946da, 0x5209a61a, 0x5d02f867, 0x4b39a111,
+    0x1d638581, 0xe179d82c, 0x042dd0ea, 0xdd4ef786, 0xe8b2d56f, 0x21eb0968, 0xebf27ac3, 0xfe740b79,
+    0x826661ce, 0xe87dfd96, 0x3ffcec6c, 0x84d89626, 0x4a99f3b1, 0x13ef37dc, 0x8d3d01e0, 0x8ee51c31,
+    0x8249ced3, 0xe9c4a1d3, 0xd0650d87, 0x44f79158, 0x7aa97bbc, 0x382d8929, 0xf22d972f, 0xb6e4e336,
+    0x00c752f4, 0x9cfaa24f, 0x068b633b, 0x146950dd, 0x6fc64fba, 0xd32416ec, 0xe1b77f33, 0x79054740,
+    0x8105e0f6, 0xc9b58a06, 0xce3f9030, 0x9a1999a2, 0x28102d20, 0x8d80a63e, 0x1fc4f376, 0x1707268c,
+    0x75407f54, 0x0a2e33d4, 0x45c4efdc, 0x3aa2a734, 0xa413b4b3, 0x5ffe697b, 0x6099d523, 0x413336d4,
+    0x667dad13, 0xd5b9d880, 0xca0d0a99, 0x0f4d9c1f, 0x0ae23c82, 0x750f9445, 0x3507a2fa, 0x6cfd8fee,
+    0x55dd9d4a, 0x952ccfad, 0x8abdf454, 0x2583a347, 0x40013c47, 0x7f991d5e, 0x09f9a689, 0xd964135e,
+    0x9e7183d1, 0x33dcbe09, 0x00b6cb83, 0xd8863c63, 0x26d7c372, 0x9ea8de88, 0x82835fc2, 0xf9452594,
+    0x634c3564, 0x84fa70ef, 0x6c82da0d, 0xe47b7c41, 0x6fee847e, 0x6669f456, 0x1a401ece, 0x58d58b84,
+    0xb3aa0b50, 0x31ac1cde, 0x78ccb06a, 0x1c2dc07e, 0x517dadf3, 0x77a2574f, 0x30e639e6, 0x957cc9be,
+    0x1f74d689, 0xf8b7eaf1, 0x7fbae8ca, 0x23a10b32, 0xa67ee956, 0x42f2cd5a, 0x6a32408a, 0x6de7aef5,
+    0x2c1c6154, 0x7e503164, 0x1963491e, 0x348fd812, 0x25899879, 0x353ff891, 0xe47ac49b, 0xe398d95d,
+    0x9fbc9da2, 0x34c86667, 0xd1d52a69, 0x7b59496f, 0x8bd3f836, 0x808f1158, 0x04128405, 0x25ce674d,
+    0x512d1370, 0x2d9a3444, 0x21872480, 0x08987e3d, 0xf8b20fa7, 0x44b42075, 0x4edec928, 0x52a81d4d,
+    0x9131a8b0, 0xd8b4dafb, 0x98299336, 0x30e77a2a, 0x59ce9250, 0xe28d3c2f, 0x5affa689, 0x48b7fb30,
+    0xae70e53b, 0xaae4f398, 0xf7677a39, 0x38023331, 0x5d7ecfa8, 0x55bb3d8d, 0x4c968ad0, 0xf232aa41,
+    0x8e5ba89c, 0x5ea927a3, 0xcd9e96d6, 0x023b7865, 0xabd8ff35, 0x2c6f44b5, 0x1112b583, 0x953b486c,
+    0x5582cb57, 0x874baad1, 0xf19e3ed3, 0xb2d5b5e8, 0x2d39d0de, 0x4abdf9da, 0xd8398805, 0x1e0ee3eb,
+    0x57321a05, 0x159b76db, 0xb835675e, 0xe6b0c548, 0x43e44b53, 0x6b1a4099, 0xd02d3d11, 0x27715156,
+    0x7de455ad, 0x0f857596, 0x9730acc4, 0x6ebe59f2, 0x534e3bae, 0x745d2f03, 0xcf244f92, 0xab8dcc01,
+    0x4420c6e6, 0xad5033c3, 0x184b205e, 0x86218e2c, 0x9fd12bcf, 0xf8a62c36, 0x9ba5645c, 0x52b9c6dd,
+    0x8daf6d54, 0x2daab954, 0x9cf4bb72, 0x2e8bdc79, 0x027301c4, 0x8a778ec5, 0xddb297c1, 0x4f3923e1,
+    0x94bd6349, 0xb2de6b86, 0xf1a2caa9, 0x7482853e, 0x53ce3c07, 0xee27550f, 0x75e6e1d1, 0x89355b17,
+    0x461e7535, 0x086e14db, 0xf22c401a, 0x1438d555, 0xb927dbe3, 0x78aabc96, 0x023f6386, 0xd3d81168,
+    0x2b0fc5a2, 0x621590d3, 0x65727dec, 0x4e336c5d, 0xa8079448, 0x9507a074, 0x6f1ea783, 0x78b21c4c,
+    0xdba815c9, 0x1999f407, 0xc6b155a2, 0x5f9b39ef, 0x7cb88ac1, 0xe05d031d, 0x46b55ef0, 0x879dec21,
+    0x625c087c, 0x5ead2323, 0x1cec98c7, 0xcba94d7f, 0xbbf0d005, 0x3f589f87, 0x2c64a793, 0x695d298d,
+    0xc521fc5f, 0xe19def3b, 0x55bb7cd0, 0x81ecf395, 0xaf6aac83, 0x283994ec, 0x7c6b73d8, 0x61160c66,
+    0x2e1bb1b4, 0x666e0bdd, 0x7eb66179, 0xf220f519, 0x08d766e3, 0xc6fd6a36, 0x28418d11, 0x2630d11c,
+    0xf52f3db7, 0x2effa78b, 0x9a11c226, 0x19b75fcb, 0x72eec1a6, 0x5593419f, 0x0b1ebcea, 0xb9b9be69,
+    0x477d73bc, 0xde921e40, 0x62bcaff5, 0xf76713dc, 0xf8b3ab9f, 0x01856c7d, 0xe8536c92, 0x406856c8,
+    0xe65cf4ab, 0xb264001b, 0x7eec2fe9, 0x07e187ef, 0x2f11db81, 0xd9b86ee2, 0x334a4e8d, 0x7b748150,
+    0x3edf615a, 0x11d192ae, 0x08a7e060, 0x7c58edac, 0x8d2d5ae6, 0x0a9c828b, 0x7ccdaa39, 0xa871be12,
+    0xe2b8a7df, 0x3a36024e, 0x01aa94cc, 0xcf2ba1b1, 0x3a9a1418, 0x37060b97, 0x21a611d7, 0xc5abf3e5,
+    0x306ee4dd, 0x85c842cf, 0x56b2d9d4, 0xd69c364d, 0xb09a3dba, 0x2fe7758f, 0x97fe8aa7, 0x10fdb933,
+    0x09a8f101, 0x2b1c78f4, 0x6d70aaad, 0x3801b575, 0x2d3049c3, 0x9dc1e01e, 0x23958770, 0x0e98c842,
+    0x73379cbf, 0x047a7dcb, 0xece4c5da, 0x5fbc9ed3, 0x072789da, 0x895f87c6, 0x645cd860, 0x869396ac,
+    0x2964e652, 0x05c34b7f, 0x134a7072, 0xc768b620, 0xc907968b, 0xd53537d0, 0xf640174a, 0x0bffbd07,
+    0xfc29ccd8, 0xf5182b33, 0x692e9583, 0x5b4e8d6a, 0x99eb26a9, 0x0f783e7b, 0x394c0253, 0x6dd2af6e,
+    0xeedd494d, 0xe5d17ab4, 0xb7de52cd, 0x88fdf46f, 0xb1357715, 0x00337a53, 0x916cf4cc, 0xbf774561,
+    0xa30646ff, 0x90311715, 0xdda83763, 0x940fb954, 0x4d3a21ec, 0x21d090f5, 0xb0f0269d, 0xf987332d,
+    0x9ed3a304, 0xcdd2f939, 0x17c22cf8, 0xdba01dad, 0x11a537bd, 0xc1d6b4af, 0xdfb678b6, 0xadc94c19,
+    0x23873df6, 0x84bc691d, 0x7336c304, 0x1ce519f9, 0x1f51e7d3, 0x6154cd96, 0x03327ab0, 0x2b9f7066,
+    0x2e1b2f93, 0x8bee8529, 0x8f1c9894, 0xed9373ed, 0xb25a0b74, 0xe76ba355, 0xa00d4554, 0x6a9da411,
+    0x72c14cc9, 0x90579f75, 0x0770e4d6, 0x9c79a1c8, 0xdfa178cd, 0x97f12872, 0x8039db06, 0x524500c7,
+    0xa3acef3f, 0x5d5e140b, 0x4a41db93, 0xdad366c8, 0x22728169, 0xd18194b9, 0x39cd5c2e, 0x41af7569,
+    0x3a31f800, 0x2f0d568d, 0x8a73ede1, 0x41a90711, 0xfe7c5bb5, 0x226c2079, 0x57a696ff, 0x474ab879,
+    0xb27d8c1a, 0xcf2ab64d, 0x639ff0d2, 0x17646612, 0x1f840a6c, 0xc5802644, 0x3249355b, 0xdc70e770,
+    0x27a0706f, 0x519970ee, 0x41b4d8e3, 0xfb16b7fc, 0xfa2f67ad, 0xec7749e4, 0xa2db8b2d, 0xd8c46dd9,
+    0xb875773f, 0x4634dd5f, 0xc75e3f45, 0x6a905423, 0xc5bcd405, 0xcad0688d, 0x5e95fea0, 0x3f76e163,
+    0x53239d43, 0x1ed3c0fa, 0xf6cba861, 0x686223df, 0x53c7ef16, 0x91e95853, 0x6536422c, 0xa861c94a,
+    0xaec46a48, 0xea59d93b, 0x138d5224, 0xd483069e, 0xa30b3c0d, 0x74330409, 0x8dadf62f, 0xea170e97,
+    0x1db68807, 0xef6298e6, 0x55de2b47, 0xa3f6043c, 0x9cafc006, 0xc67bcd92, 0x86c8248d, 0x98e1d749,
+    0xc85d67e8, 0xc3510cae, 0x1ee5622b, 0x31ba18d0, 0x10b9b867, 0x27d528da, 0xaa11b5bb, 0x9dc46e56,
+    0xf72b4cfe, 0x9759fb63, 0x2bc0ac47, 0x1f6b4cf0, 0x74ec7e29, 0x02a0a709, 0x200ecf68, 0x2a77902d,
+    0xb53fbf1e, 0x7d3844ef, 0xd43613e7, 0x43259b2f, 0xdc68add9, 0xe5386388, 0x48d24dba, 0xc6d5006d,
+    0x339676dc, 0x4cbe49ed, 0x75406442, 0xb4dae276, 0x1d63ec1e, 0x40597655, 0xe5da2aae, 0x11c0802f,
+    0x3562cf1c, 0x1ce0a2e4, 0x8ae34976, 0x4b9b9885, 0xc3763ff3, 0x29cdc07f, 0xe250996f, 0xe5d1461e,
+    0xc4689966, 0xd6e3803b, 0x2ab1a67f, 0x6f4adeaa, 0x1a38040d, 0xf794c0e4, 0x6770ae66, 0x24e60dfa,
+    0xca996922, 0x54a17be6, 0xecb3d898, 0x16065652, 0x6cd058e1, 0xc73d1f75, 0x27726b1b, 0xaf65b5f8,
+    0x05516553, 0xb7d6167a, 0x8bf14c2c, 0x8170abdf, 0x1779fd8f, 0x421cdcfd, 0x06dcf86a, 0x452d2bb6,
+    0x16dd670a, 0x3ee8f3d6, 0x46c7ca08, 0x63ebdfd7, 0x093ae3f6, 0x56180707, 0x9af8133c, 0xa3bd557c,
+    0x79e73ac1, 0x11b9f658, 0x1f485d88, 0xe5830725, 0x75ec70d9, 0x713eddc5, 0x1c9c5110, 0x806dfabf,
+    0x7c87e3fd, 0xddfd9e1e, 0x22d89e78, 0xb8538eea, 0x27c82892, 0x595aa760, 0x70a10066, 0x5459843e,
+    0xd101c207, 0x884bd8de, 0x6d328c9b, 0x3a70fd31, 0x3df09f77, 0x0a1ce879, 0x0547ee85, 0x37e430b6,
+    0x5fe0d5ec, 0x00bfc751, 0x56400ec3, 0x4ca9e331, 0x3aaf8b45, 0xd13e1942, 0x48c4a175, 0x7e050647,
+    0xccd6b621, 0xb4183bde, 0xc12c7975, 0xe5bd1daf, 0xe777e3ee, 0x3a407d49, 0xef26b3d3, 0x75799d0b,
+    0xa06a8b15, 0xefe8386e, 0x4e02319c, 0xf98527b3, 0x3bd0f3ba, 0xd6e04cfe, 0xace1c97d, 0xff29ea16,
+    0xbe34334d, 0x446849f2, 0x8873e3d7, 0xe4059546, 0x11072247, 0x3a7a37fb, 0x9804bfbf, 0x0894aa07,
+    0xab1cca1f, 0x0faf9c70, 0x6c790f4f, 0x3537e23c, 0x6f9015ff, 0x42fdfd38, 0xa2b283f9, 0xb51eae2a,
+    0xaf00e4a6, 0x3b522e6e, 0x881ffa61, 0xb4ff9f74, 0x6ec659e5, 0xf00f1677, 0x88691637, 0x66a09409,
+    0xe1d65a4a, 0x25f123da, 0xed8acb00, 0xb9488ecd, 0x6d1d45bc, 0x9e8801e4, 0xffd1ef73, 0xf0588224,
+    0x4e7e6156, 0x88aeac28, 0x5655ab00, 0xe815f26d, 0x465a6c43, 0x212bbd14, 0x422e28de, 0x83625e3a,
+    0xefd1e4b4, 0xb07b9b10, 0xef69bada, 0x8bfbe2c7, 0xd1f5c229, 0x5b8c72a0, 0xa15ba6dc, 0x79f18886,
+    0xfc26fbac, 0xaaa80419, 0xf6f374ac, 0x93cd0cdb, 0x679c4655, 0x17e6f1f2, 0x0be8f788, 0xb03193f3,
+    0x8a215bb4, 0x19f9318a, 0x9c254beb, 0xb494fa6a, 0x762af06e, 0xa9cd36b2, 0x48aa6695, 0x2686003b,
+    0xa0c98a7b, 0x8fadc9d7, 0x5140b3b9, 0x0435762d, 0x12ec8476, 0xc86339fb, 0xdc8e48f2, 0x949a7146,
+    0x2c62f9cf, 0x997f33c4, 0xa71aa6f2, 0x1db2dd34, 0x45d9110c, 0xc95f2b75, 0x8ac50228, 0x6f20579f,
+    0xc972eec6, 0xaef3f753, 0xd357c243, 0xe8116c35, 0xabca2954, 0x40162fb3, 0xa25d7dc2, 0x6dec11f1,
+    0x4ec07ca4, 0x7cd4d07b, 0x50a637b4, 0xec6fe487, 0x9fb18e67, 0x05b8b8d3, 0xda7f7f78, 0xbb71b7a1,
+    0xf0d9dc7b, 0xfc0828ab, 0x8920fa1d, 0x22c4b964, 0x65072c39, 0x81212fcc, 0xcda5e128, 0x0e081944,
+    0x1eeeb06c, 0x5a0e3c58, 0x12b813a9, 0xe7f9cc6a, 0x201fa7b3, 0x98a2dac8, 0x677195b5, 0x9de19d07,
+    0x9dc365dc, 0xd82da17d, 0xaa927fbc, 0xb0420f3d, 0x2047c2e6, 0x13f51015, 0xd11fa426, 0x41c10797,
+    0xa4b3afb9, 0x252e02bf, 0x9f4c4e10, 0x74fbed85, 0x19e9672e, 0x529c0e3f, 0xf811055a, 0xb88d9bfb,
+    0xdedbfd6c, 0xa6cc9c34, 0x230b68a4, 0xc99d6c01, 0x825e2f69, 0x1ef9c375, 0xff869d2a, 0x74261246,
+    0x42233dbb, 0xe13d776b, 0xd900b40c, 0x228265ed, 0x5a750f9e, 0x716dd886, 0xd54d5bc3, 0x54586ddf,
+    0xbdeeeb4d, 0xf25ccbb9, 0x2af11461, 0x164657d7, 0x96fa8859, 0xc16a8440, 0x5687af34, 0x32190dc9,
+    0x6c35b874, 0xcd983e8b, 0xa451e97c, 0x1ab1ed34, 0xed88ca77, 0x8617131d, 0x1aa93862, 0xf2ec454e,
+    0x7ed58d38, 0x2b86c0da, 0x389caa35, 0xab2fab9f, 0x7e36f475, 0x0ac9646b, 0x93df754e, 0x3737db4e,
+    0xb3e34471, 0x04acb9d1, 0x28687268, 0x24feeabf, 0xa343811f, 0x70059853, 0x519477f3, 0x9ab6d476,
+    0x684b6e95, 0x59223230, 0xe4b444bf, 0x901e8d43, 0xad1a5c67, 0x58830061, 0x896c523b, 0x59e7e004,
+    0xa64acf5d, 0xd7996975, 0xe7d6aa72, 0x563a26ba, 0xa9a798c7, 0x18e44fae, 0x1ef47532, 0xb0317120,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000002361183241434822606848 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b432, 0xe47501b5,
+    0x00000000,
+    0xe3451397, 0xa0e3f0d0, 0x89b7b7c1, 0xcabc975e, 0x5d1d9bd4, 0x6c0c2728, 0x32555568, 0x0dcba7e5,
+    0xae78a4ef, 0xddf6b07b, 0x8e2d94dc, 0x66e03b93, 0xd7933128, 0xc447fd0a, 0x119035c8, 0x0b5105ac,
+    0x4db1d9b1, 0xd6fa4cd7, 0x8c22d1d5, 0x35db3145, 0x792f07b4, 0xc680f1fd, 0x0c7c661a, 0xb763eae0,
+    0x17b71dd2, 0x37197e95, 0xc4adb2ee, 0xad16b495, 0xb1b8dd2c, 0xc9a8fef7, 0x7d379f9e, 0xb2c72081,
+    0x07d8b055, 0xf4770d34, 0x3c0ef2af, 0x96bd5b1a, 0x4e9581a8, 0x68f87f39, 0x11c82b7b, 0xe38cace9,
+    0xc2d638e0, 0x2b785ac6, 0x07ad579e, 0x55f2bc8d, 0xec40f261, 0xf5607f24, 0x16d557b9, 0x5b4e8399,
+    0x20fb93ce, 0xa10dcda0, 0xcda0a99e, 0x9a648a8b, 0x93609797, 0x282c8170, 0x324ec25d, 0x4036595d,
+    0x60044252, 0xa51adf1d, 0x1c533d74, 0xf3525f0f, 0x69a6a8dd, 0xe3eee8df, 0xf329574a, 0x8d2c6804,
+    0x7ba2cd86, 0x16f8caed, 0xc413a4de, 0xface3c19, 0x06cfc92c, 0x74cdb71d, 0x3fb96711, 0x264425aa,
+    0x6a6fa10e, 0xdede93c8, 0x58d768a1, 0x45b4fadf, 0xed7376a2, 0x5faa70ff, 0x8078f728, 0x0f34a6c6,
+    0xb70652ce, 0xc873b3fe, 0xb6df8e25, 0xb242ee7f, 0x7eae0050, 0x2d72729f, 0x0d9f3ee1, 0x52612daa,
+    0x40bb6963, 0x1e67945a, 0x41ce8ad6, 0x5197d42f, 0xb1297b43, 0xbd88ad50, 0xcfa023c7, 0xc1667fc9,
+    0x751efecd, 0xdb20e425, 0xca22275d, 0x674c4e85, 0xd0fcd3ae, 0x885651db, 0x27ece229, 0x060e6e7e,
+    0x6f70095a, 0xa9cdf1ec, 0x81345851, 0xb5aba547, 0x3f6aec30, 0x707c8f61, 0xfd16f734, 0xe2c842b2,
+    0xa4c8647d, 0xb69c51a9, 0xb1d493e5, 0x4dd3b06f, 0xaddeba4b, 0x6478fbb4, 0xedb3e8f0, 0xfb3106a6,
+    0xa7353d61, 0xe2ebaca9, 0x5fa16908, 0xc76673c6, 0xddddd7d1, 0x3dda1379, 0x89d62c4f, 0xa81fe696,
+    0x78c00773, 0xb87adc0b, 0xabe7b94b, 0xeb56a77c, 0x2873cbe3, 0x296946ba, 0x4d50b05e, 0xd60ec5c0,
+    0xc83d38c7, 0x3d82ec0b, 0xcb1d1224, 0x695c0f27, 0xd8012f7c, 0x0cd12683, 0xe552c2f4, 0xe4eaa114,
+    0x2cd53e18, 0x768e3302, 0xe6ae58be, 0x04d362e2, 0xb91c75c1, 0x37ad2a85, 0x3a7df99c, 0xcedf8106,
+    0x08539a0f, 0x18beb0ee, 0x28157def, 0x649a8004, 0x86c0fea1, 0x0b5ea2a0, 0x00524d8f, 0x6d6b2cf5,
+    0x210a4dc3, 0xd6fd69da, 0xd716adbd, 0x30c862d3, 0xb85e3d72, 0x8654c36a, 0x6b8767a1, 0xd0f35de5,
+    0x89284af0, 0x343b7c82, 0x4bd10ac9, 0x9caf37a0, 0x671cffc7, 0xf947d431, 0xa5f8c0b0, 0x9b451e24,
+    0xd9669a9e, 0xa88b60da, 0x0882754e, 0xb0b6b460, 0x5f48d102, 0x1e728a30, 0x101e1346, 0xf666642c,
+    0xa5bf70e4, 0x4cb2c337, 0x1e5845ab, 0xedfa0553, 0xf430c362, 0x750d671c, 0x40aed424, 0x7702c0b8,
+    0x81728d5b, 0xb763701c, 0x9cb73b35, 0x415f0026, 0xe3b397d9, 0x36980d54, 0x4529817b, 0xa087c2a1,
+    0x7f74131e, 0x79af7ec9, 0xee8bbd1b, 0x17c4307e, 0x2b503c74, 0x05102d39, 0x006afd99, 0xd4e48380,
+    0x2019df26, 0x27b96e2f, 0xab094676, 0x851e6ce9, 0x52e143a9, 0xe4c45091, 0x28337c01, 0x2929db7e,
+    0xc38d82ac, 0x9daf3f5f, 0x76c277d5, 0x98e27946, 0xbc1ea299, 0x12ab04ed, 0x0e5b9e10, 0x21a6bdfe,
+    0xf2f30af4, 0xeb558c89, 0x1f18a497, 0x2adcdee0, 0xf7b0a75f, 0x77998561, 0x98abcf45, 0x8ab7dbb5,
+    0xf8ad0d6e, 0x6bd7018e, 0xb03fe7b7, 0xbc254fdc, 0xf9a53ecb, 0xa78ff36c, 0xce429532, 0x484ae497,
+    0x3c4da5b0, 0xed262dd4, 0xdee6c7d7, 0xcf344136, 0x24eed7e0, 0x11bb447a, 0x9f5ea4ac, 0xb0bcd2ab,
+    0x0cd8ff26, 0x2e0883f5, 0xcdb5c06f, 0xae1008b6, 0xc9d139a6, 0x09d61d64, 0xc57543ad, 0x06d44483,
+    0x7a9fe2ee, 0xf6a9da52, 0x3f256745, 0x2aff92cd, 0x3c201509, 0xe5b20e77, 0x1b4348c1, 0xa15cf74c,
+    0x774104b5, 0x10603009, 0x4c2bc623, 0x00dda196, 0x9a382fd6, 0xe0a58c78, 0x816607bb, 0xa15392da,
+    0x54264783, 0x7144787a, 0x545ea292, 0x51bf3295, 0xe17e2450, 0x19009992, 0xc291b4ab, 0x4d721731,
+    0xa947df5e, 0x427a6f24, 0x6ba362b9, 0x08ce9210, 0x6a14e020, 0x4d6d2d70, 0x428045bb, 0xb986f91b,
+    0x070d2db8, 0x9e78c898, 0xc3c8cfbd, 0x6d305e9f, 0x08251b77, 0x2b3393f8, 0xaa1e745b, 0x8102a2e3,
+    0x29fe3422, 0xe82829a1, 0xe17c72c4, 0xca5ab373, 0x39c12580, 0xc9f324bd, 0xc3cdf170, 0xd4205ed2,
+    0x7528193a, 0x2c696e9f, 0xfb8682b6, 0x2c6a3091, 0x9d6590e3, 0x5d8ba188, 0x25f50d07, 0xd51af23c,
+    0x994d4800, 0xd2b5715f, 0x455c0eed, 0xbb891a9a, 0x9e05f4f8, 0xd95ef18d, 0xd0a5e992, 0x1be48775,
+    0x034848a4, 0x7facd498, 0xdae953ad, 0x8718c73b, 0x84cd4bcf, 0x7300780b, 0x7d8b9a65, 0x65c18a11,
+    0x5debee0b, 0x810576a3, 0x624d1d9b, 0x25fea009, 0x41a14d40, 0x5cccceb0, 0x6f3fb6cf, 0x6035653c,
+    0x6c8901a7, 0x14685f48, 0x166f4045, 0x6eb43aef, 0xdbd88162, 0x288c03a9, 0x75f8fe9a, 0xb466160d,
+    0x169185fb, 0xa6514e85, 0x03c2bffb, 0xc5df1ef4, 0x4c142b3a, 0x5be5465a, 0x40ad0b20, 0x778694df,
+    0x25df09e6, 0xc9de4e22, 0xad789516, 0x3cdeeb30, 0x705cfe10, 0x733cf141, 0x6b7ed6bf, 0x385a90ba,
+    0x8a656761, 0x35af6262, 0x5be3628c, 0x4295ae6b, 0x65750768, 0x46687741, 0x71733ecf, 0x54e63560,
+    0xb4a0f746, 0xad0203e1, 0xd8bb2771, 0xef9bea46, 0x51175fec, 0xa65c0467, 0x0281f5af, 0x52cfbe09,
+    0xf5e41510, 0x63326536, 0xa8c592eb, 0xc2451bf6, 0xa2e61c99, 0x356b67c3, 0xcbe6bb7d, 0xb7af6fb1,
+    0xbad1b5ed, 0x1a4b664f, 0x40500a78, 0xf906f645, 0x89a5191f, 0x8e500202, 0x33e7733f, 0x943451df,
+    0x3be34549, 0xa568d115, 0xe7cc069a, 0xff66d945, 0xa856cdc6, 0x6c35374b, 0x6e4c98f2, 0xf263b635,
+    0x2bf38d8d, 0x63fba3a4, 0x5edbdb8d, 0xcbee84d1, 0x6957c398, 0xf6a33309, 0x68013e73, 0x6b1eb0ab,
+    0x394a5289, 0xbdced07b, 0x2818003b, 0x264d120d, 0xfe0df8c9, 0x0718f465, 0xbd70b515, 0x0c139180,
+    0x34e6da95, 0x28468e30, 0x6e216b5b, 0xa0bc20c6, 0x3721a138, 0x8411e7a7, 0x1a2ef35d, 0x7c9b9554,
+    0x5756830a, 0xff9df1ca, 0xcffdce49, 0x452e8bb2, 0x0efe863b, 0x50eb8004, 0x4356a96d, 0x01efc291,
+    0x33633c76, 0xa3f07d38, 0xd2032b51, 0xb39ef46d, 0x911d9644, 0xf179527f, 0xef89fdc3, 0xb8eceb4a,
+    0x664ad4d3, 0xa07b793a, 0xfa8a0ace, 0xa160c7d7, 0xb53d538d, 0xe40b85c0, 0x0112c23d, 0xff33d66f,
+    0x2b8c34ff, 0x5892bac0, 0x2d21fde4, 0xf62d44d9, 0xd41d2073, 0x19d03d4a, 0xef2e74a3, 0xfdd9e86d,
+    0xc9387cdf, 0xa9f07612, 0x6cf81b20, 0xcd0d44cf, 0xcb644cf8, 0x32e30cfb, 0x87464c8d, 0x7e92e56c,
+    0x06b955b9, 0xdc2d0832, 0x6149b1f6, 0x67b72d58, 0x7bac91ca, 0x402c4428, 0x033e669a, 0xef9e27fd,
+    0x2e66ca25, 0xf44d2ac5, 0xb55999a5, 0x5836b873, 0x0ddb2e0d, 0x012a09af, 0xb47286c8, 0x2e79cbe2,
+    0xffebc1a1, 0x7df68c44, 0xa7217baf, 0x882c7da8, 0xf6c76a65, 0x5a2b4358, 0x47c605dc, 0x7f0c28ab,
+    0x5291bba2, 0x83e5b349, 0x0484e63e, 0xe34ea9be, 0xca5fad16, 0x5b994514, 0x100e1e9c, 0x5e99462e,
+    0x26c9b110, 0x703bc0c3, 0x332d4fad, 0xe5692045, 0x5af96677, 0xf23a7299, 0x421011da, 0xf56bdd7e,
+    0xebc3b6e8, 0xd876029a, 0x91b17d8e, 0xa6b8e9be, 0x51906f00, 0x303ac878, 0xa1fa63e2, 0x75588b40,
+    0xacb72f8a, 0x51e3e4bd, 0x165c9c70, 0x02d50509, 0x9e77148b, 0x5a326100, 0x205ea945, 0xf9ef1150,
+    0x3395066b, 0xe0c0b963, 0x1222b858, 0x0024a5ff, 0xd2df4c62, 0xaeecf1a1, 0x4609ffb1, 0x12389f70,
+    0x82d6f6b2, 0x10b96fed, 0x6db52ace, 0xe67e01c5, 0xeaa3eefe, 0xbae75d8f, 0xe577af23, 0xac1876b7,
+    0xa24974c5, 0x8c08c037, 0xa03c1dfe, 0x48ec163a, 0xe4acfcc6, 0xe8ed9fab, 0x096c4e8c, 0x4bb00b6c,
+    0x3f80dfcf, 0x4094d595, 0xb873cf7a, 0xe338903d, 0xa577db3f, 0x4461791d, 0x58b61a51, 0x173032f5,
+    0x96339bb3, 0xec3292a2, 0xc2ba4173, 0x19c8927d, 0xfee3a5cf, 0x412c02ff, 0x6fea3892, 0xa77b4a39,
+    0x61bb85c7, 0xcad52e9e, 0x44f2fb4d, 0x81a051a7, 0x9fa75866, 0x1af61c1f, 0x9b83b3df, 0xaf1a6592,
+    0x407d9335, 0xb885496d, 0x1bcd38ba, 0x8c8818c1, 0xe4e8c30a, 0x07852654, 0xb4e92bf1, 0x26dbebf0,
+    0x8245f5c1, 0xdd52bcf0, 0x16000755, 0x97bec42a, 0x8f913efd, 0x04883578, 0x6bd55cce, 0xd3eb2ee9,
+    0xd850c4e3, 0xcb096a57, 0xe4fb316f, 0x821988b6, 0x87868946, 0x7377d9fb, 0xac182d09, 0x64a88492,
+    0xd8ed3997, 0xf55f1442, 0x51e9bbc7, 0x9bd9b28a, 0x8fb70040, 0xbd2db99d, 0x22d3852a, 0x7587415d,
+    0xfaaa79dc, 0x48436660, 0x1756fad2, 0xa19565ce, 0xa7e53e4c, 0xa6fc1d4f, 0x95caebac, 0x072b322c,
+    0xe0b6b547, 0x41bef341, 0xbbf62fb6, 0xdbd1dd78, 0x88760473, 0xd9933a91, 0x24c437d7, 0xe698fe8f,
+    0x35372f6c, 0x289451de, 0x7c264e8b, 0x978e3b84, 0x1fad2606, 0xe509c01e, 0x27f8d69d, 0x2e13d746,
+    0xa5988cd4, 0x23a98ea6, 0x75d942d1, 0xa1f2e8b2, 0x0e270bf6, 0xe66725d0, 0x7869beee, 0x15b21020,
+    0x66a17363, 0x0244fef1, 0x51cefc9c, 0x27e434b4, 0x9da02c65, 0x4a5de3a3, 0x8c2df9e5, 0xb113d631,
+    0xc38ac1ca, 0xa7dd5b67, 0xf32749fb, 0x72893b72, 0x627cdf0e, 0x066f3956, 0x1ef626a7, 0x6de7e9b6,
+    0xe52a3460, 0x424f7f2c, 0xf9e124b3, 0x2c11118d, 0x2dac1b40, 0x39c36f3e, 0x7e837c3d, 0x659ba60b,
+    0x45796250, 0x8b5d0538, 0xdf7980f9, 0xce0753c7, 0x587378ad, 0x25dc43fd, 0x03b104d0, 0xd0ccabc5,
+    0xff1c1403, 0x23f272e4, 0x3ddbc2ac, 0xb6a48d6d, 0x27866282, 0x74e2aa33, 0x2275e0c3, 0x4da2b980,
+    0x68e911a2, 0x94b909c7, 0x1a87a78e, 0x32da4746, 0xb1fc3c77, 0x213156ca, 0x86ffb533, 0x38cc9440,
+    0xdd28cb72, 0x60fad13d, 0x5bbf2e9d, 0xaec642ef, 0xbc0e67b0, 0x5656c237, 0xf75441fd, 0x1e2af632,
+    0xc5b16dfd, 0xbffe3b2f, 0x1146a97a, 0x1148569f, 0xace40142, 0xb49dbdc4, 0xcc4c4f09, 0x2ce930dc,
+    0xe0dce592, 0xb3bc4053, 0x7e719863, 0xaf7c6922, 0xc6ac4f17, 0x698ccd26, 0x7d8da1ae, 0x7e61250a,
+    0x56e23bfb, 0x1da3e4ca, 0x69b47b92, 0xcedd8687, 0xaafd05b1, 0xa6f8e84c, 0x04ec9ce9, 0x9b622891,
+    0x9fc08a9a, 0x097851d4, 0x27c4d7f8, 0x5d3ddb0a, 0x21c492a2, 0x96513cf8, 0xf03742d3, 0xa3ceda29,
+    0x652fcc19, 0xcb80ed7a, 0xd6c679ce, 0x4b420abd, 0xca4adb70, 0x5eb5e277, 0xee81c481, 0xb1d83586,
+    0x519f08ca, 0x3189ab6e, 0x67051b2f, 0xb6ff1ea5, 0x788a02d5, 0xf71f1ba8, 0x7904f196, 0x72017a8e,
+    0xf7d358d0, 0xa200cecc, 0x301b817b, 0x5c2ff464, 0x7432b417, 0x5c3b5732, 0xffdb0b8c, 0xc5f8f86c,
+    0x8010102a, 0x943eef40, 0xff9c3354, 0xc057e3bc, 0xbca939fe, 0x395ff3e6, 0x097d7a38, 0xf57751d5,
+    0xef2138f6, 0xd81a47e1, 0x6b4264f6, 0x7225374b, 0x80faebea, 0x938d809b, 0x2295cf49, 0x94f99ecc,
+    0xfe71fbe0, 0xef7a7f69, 0x8d93db17, 0x6e3ef6a8, 0x7cdd4cbf, 0x4935a258, 0x581c5335, 0xf4377c1e,
+    0x1b51fc3e, 0x959f4210, 0x6e152e7c, 0xaec505ee, 0xc662745c, 0xe0084d42, 0x50d8386d, 0x0220df35,
+    0x23c756ce, 0x15c40f09, 0x11159372, 0x21283c48, 0xc57f378b, 0x2d018ab0, 0x84eb627f, 0xfdb87c36,
+    0xa20064a0, 0x414ee3f8, 0x99edc0d9, 0x8548eda1, 0x44ada829, 0x8cfe13c0, 0x11ca7507, 0x1991698a,
+    0xc67526d7, 0x09f11851, 0x33d6f35a, 0x62bff879, 0x0c7d9dda, 0x403f2f57, 0xfd0fa738, 0xc7770980,
+    0x9467f92c, 0xe8420d2a, 0x8c849439, 0xfa55807b, 0x8736838b, 0x4234309e, 0x3026996b, 0xcb7dacda,
+    0xe67a484c, 0xa2c9de94, 0xc42f7c09, 0xdfb05df8, 0x2eda7fb0, 0x8e99e151, 0x165d9a8b, 0x5e850eeb,
+    0x3a380d6d, 0xe2590dd0, 0x4702e5bb, 0x8bbe8c89, 0x95e9b73f, 0x64ba2364, 0xc5ebbe5c, 0xcf9b09b5,
+    0x45e88071, 0x4724ade0, 0xd969bf79, 0x8e117b59, 0x77e26a54, 0xf8710615, 0x38e5b30c, 0x609f657a,
+    0x5738e47a, 0xe69e2078, 0x6f20d0f9, 0xc97e8174, 0xb3e35e89, 0x906e619c, 0x42040865, 0xc12ca111,
+    0x53133563, 0xe75b7f8a, 0xd55ae770, 0x9254e54e, 0x3b29950d, 0xd1debd46, 0x8ce1f016, 0x15a1cf8d,
+    0x63eff0b4, 0xb3e5bd38, 0x584b0b10, 0xbac8514c, 0x39e85ecc, 0x8d742cd5, 0xce6fefba, 0xfcd42f90,
+    0x342f9304, 0x86a1a1a3, 0x637b1f25, 0xda1c1c8a, 0x5c7ef608, 0xcb5278af, 0xbe978f64, 0x45d53e04,
+    0x87bd4d1d, 0x0c0e5f5f, 0xd9cd11c7, 0x9b4769a3, 0x81138241, 0x45336056, 0x60ca3f5c, 0xa093e2a1,
+    0x398ffee3, 0x7d0e05e8, 0xb65998d3, 0x17200e60, 0xfaf6ef24, 0x33aef5ef, 0x153e2c79, 0xa1d9124a,
+    0x62de1647, 0xa2a20905, 0x093de31f, 0x3e01ff17, 0x8b754790, 0x54b28ce1, 0xd5f33a06, 0x268f5675,
+    0x8cf060f2, 0xef2ec66b, 0x355a5990, 0x400b8de4, 0xde4bad46, 0xc6c9bc37, 0x1a2a96da, 0x57f6d649,
+    0x65c26e9e, 0xdfc5e4e5, 0x9e4861c7, 0x8ff3c4e2, 0xaddbe543, 0x57b76069, 0xff13270f, 0x9c53a084,
+    0xfbf5792a, 0xd2db09b6, 0xe462f149, 0x14d016a1, 0xd7401dd1, 0x66099452, 0x2b53f6c2, 0x0440c447,
+    0x3cfb9f38, 0xdb13f249, 0x347f4e63, 0x17a1a126, 0x99fa3d9e, 0x4b7efba6, 0x76f16fb8, 0x80bfeaf8,
+    0xd23cc2cc, 0xce2ab0cd, 0x335b16e2, 0xd246e2bf, 0x37be5924, 0x4faaf9ec, 0x819a5ebb, 0xa4062419,
+    0xe09378a4, 0xae4e9837, 0x88e3705d, 0x6e9f2911, 0x80c72148, 0xa37245af, 0x19b120a7, 0x4e0b2642,
+    0x42e17fc8, 0x7044b427, 0xc1adcd1b, 0x920f0786, 0x563c9955, 0xd8039430, 0x09e103fd, 0xf01fac33,
+    0x964d0eb5, 0xf18ed567, 0xa236c687, 0x0857cc93, 0xd0abe2d9, 0x13521ed2, 0xeba53ae5, 0x423a05c2,
+    0x1c4c9b49, 0xd99ad7ef, 0xa60ec69d, 0x77188ab7, 0xf0b8a9a7, 0x3a642094, 0x7386529d, 0x17ab0242,
+    0x67100635, 0x5ee53d58, 0x449595df, 0xc245a1ec, 0xc3ce1b8b, 0xd9eba7cd, 0x684c99af, 0x2ab614a4,
+    0x779ce781, 0xc71546ee, 0xd3f6bd55, 0x5368b337, 0xfbf0f4cb, 0x02f797a9, 0xcbe7dbf0, 0x7eaa94d5,
+    0x17d83d2d, 0x4198af66, 0x764f5273, 0x1557d02d, 0xff7ace3d, 0xbd87369c, 0xd5af95a9, 0xf7d682e4,
+    0xa9d9d9b7, 0x2e50f4a8, 0x0c6b6b3f, 0x55e790d9, 0x26b99e4c, 0x4fb31e44, 0x437b5ef8, 0x623f14c1,
+    0xb7175859, 0xd11e5b3f, 0x9f50f9ba, 0xafacd685, 0x033cc75e, 0x47617281, 0xc80b00d9, 0x64653463,
+    0x217b3ea0, 0x29cf6b68, 0xad7a36e4, 0xf461b943, 0xa2ce6b3d, 0x0a70c5b7, 0x253dbc19, 0x31cfbacf,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000001180591620717411303424 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da19, 0x723a80da,
+    0x00000000,
+    0xaa8f3a79, 0x8d055c76, 0xe8ef0236, 0x5ca8a6c0, 0x6b5271cc, 0x6aa139ba, 0xb2f65087, 0x8edf029a,
+    0x9076f52f, 0x498b39df, 0x8aa67516, 0xd446dac6, 0x1ef3bf5b, 0x72c9f1a9, 0x7738e6e2, 0xd37bd136,
+    0xaf22c7d4, 0x5ac4680c, 0xd069fa2b, 0xd6b78ea3, 0xfda9c140, 0xcf443905, 0x51162e90, 0x13382295,
+    0x5dc12449, 0xdbd01f5e, 0x8eb504e7, 0x891ab281, 0x8208c709, 0x9645af01, 0xcbb4fb69, 0xa66e603b,
+    0x26e1c005, 0x8932d874, 0x9a6e05c3, 0xd98edbab, 0x801a4408, 0x8bdfb80d, 0x4423f9bd, 0x6b8d3399,
+    0x55c1efff, 0xb5ddd190, 0xf126ddfb, 0x5c09c1b0, 0x28860efb, 0x99ab6dbb, 0xf87174d3, 0x251cbd0f,
+    0x99bcb12a, 0x4c4789a6, 0x553d218c, 0x8027311b, 0xf7e34602, 0x2fb94a7a, 0x9d6c3b65, 0x57d73193,
+    0x2a28bab3, 0x579521f2, 0x869f02d1, 0x1c7b9f89, 0x8ab2101b, 0xc33e06c6, 0x01a2551e, 0xf15fdba3,
+    0x567b571d, 0x4e4426b4, 0x49f27140, 0xac1b2917, 0x4d621a10, 0x650c5508, 0x6051254d, 0xf6d8eeb7,
+    0xc79f0b2b, 0x82a7dd99, 0x6ddf503d, 0x0587a323, 0x18e1d5f0, 0xfef88a3f, 0xc1f80c70, 0x5cd7d712,
+    0x87f58792, 0xae2fdf5f, 0xccf73873, 0xcfef2567, 0x5765656b, 0x9378528b, 0xadb395f3, 0x06a91576,
+    0xcff3e382, 0x52e31d5d, 0xfc922563, 0x5afeaaf3, 0xe3fef66e, 0xfd4d167f, 0x3f3095d0, 0x7d27ae72,
+    0x3c481bcb, 0x96d901d9, 0xcf36a31f, 0x416b0829, 0x8d6b44f8, 0xdeaae43a, 0x3c7feecb, 0x7c852529,
+    0x1df599ed, 0x98a25c74, 0x9aff3f9e, 0x282c78ee, 0x869a67bb, 0xef0459b8, 0x4c602165, 0xe9c935f3,
+    0x7c643ff1, 0x40832498, 0x5b379791, 0xe0dfeec1, 0xd4e9196f, 0xdcd73d15, 0x133d384a, 0x91523246,
+    0x47ad42cf, 0x1fc05788, 0x946031ae, 0x106f3a32, 0x4763d54a, 0xa2f0ac47, 0xf6c8a132, 0x5c7e7a2c,
+    0xbafc75ce, 0x289c13ac, 0xa31c3a18, 0xfd487883, 0x8f854225, 0xd5c1312e, 0xe3903d8b, 0x9baf2ae7,
+    0xc20d4036, 0x8b8ed1b5, 0xdeab4dd2, 0x2fb21fbc, 0xf423d088, 0x1cb72937, 0x02bb7c29, 0x58fb83c2,
+    0x8e66a5d3, 0x49bdcc4e, 0x671a7f64, 0x37af8065, 0x951840e8, 0x71c5ac07, 0x5b2862b0, 0xf1427371,
+    0x94f19542, 0x97552818, 0x859b2146, 0x8dc8af61, 0x40cedf69, 0x953a3cb6, 0xcbf8f890, 0xbb431977,
+    0x0f953991, 0x1cd24c95, 0xb5f91d41, 0xea183b1c, 0xe392eea7, 0x3c0ced68, 0x22bc54ef, 0xffbecaf2,
+    0x1ed24c30, 0xf57dc5c0, 0x63b97eb4, 0xbf1f851b, 0x50545cc6, 0x9e755b01, 0x1657df66, 0x880c9a77,
+    0x92dbd619, 0x0cc72d0a, 0xc7d62f90, 0x3db20ef5, 0x3062d661, 0xb18651d7, 0x2b188368, 0x77b63559,
+    0x0939fdc6, 0xc2c67f2b, 0x096286e8, 0x22dda800, 0x65dde5eb, 0x00c87824, 0x68bd5465, 0x10747f45,
+    0xfa629ef2, 0x14d11636, 0x02dca1f3, 0xd9deb030, 0x8fa76f13, 0xb469d385, 0x335a3f01, 0xf2646aad,
+    0xd9b170e5, 0x65546da9, 0x32c5f75f, 0xe271b571, 0x8a8c5702, 0xa8819bb3, 0x467ccd20, 0xad33aba2,
+    0xf37603c8, 0x8598a5ad, 0xff1c38a7, 0xcf234856, 0x6d829cd2, 0xe7410f5c, 0x5475d974, 0xe258ce6c,
+    0x22cd4518, 0xbc92a120, 0xe71ca470, 0x6d449e18, 0x8f30bf60, 0x92880935, 0x54f63b08, 0xeb583433,
+    0x658df3b8, 0x93bc5fd1, 0x13f76735, 0xc7199c77, 0xf2b8796f, 0xbf372c8b, 0x90b0c0b3, 0x1150b100,
+    0xdd5cc258, 0x3dc33cee, 0x54c0cce7, 0x6b145b3c, 0x33a07d13, 0x81509adc, 0x33377946, 0x0116aa95,
+    0x1557b72e, 0x6b8838cb, 0x6823db9e, 0xf6c3262c, 0x5a674ce7, 0xf2ce1040, 0x71297e11, 0xda143fd2,
+    0x167dc5e2, 0x8bc1b594, 0x6255437b, 0x8fc6ea97, 0xbd4f3dec, 0xfd3f5af1, 0x1425419c, 0x71d6a9a1,
+    0x8c674fc2, 0x556f7c1f, 0xb54bced9, 0x57cbae15, 0xb216b383, 0x7f3e0ce1, 0x805f9ef0, 0x36481763,
+    0x5a15ab67, 0x04070b13, 0xfeb41c21, 0xd8cf85fc, 0x2f74c730, 0xc6f255f9, 0xfb0700c3, 0x13a0872b,
+    0xba1977e4, 0xf097d69f, 0xc0379d5d, 0x0f918a46, 0xe6db7aeb, 0x617da7ec, 0x6406f3a4, 0xfd59c335,
+    0xcf4ec360, 0x432fecc3, 0x1e7590f6, 0x79913992, 0x13d3b19c, 0xb75e7f7e, 0xa14a18a8, 0x2db0f9d7,
+    0x28d4b52b, 0xbbf80a78, 0xacae8409, 0x1d2e767d, 0x7444825b, 0xa27710c6, 0x56446eea, 0x7939db79,
+    0x44b3fe4b, 0xc12c6e21, 0x1f27c21c, 0xa4305806, 0x0c03b534, 0xa4ce9c70, 0xc4f7d5d3, 0xf7f51311,
+    0x98dc0e8d, 0xdd8b618f, 0x696cbd16, 0xfb690590, 0xb92d44c3, 0x1e0d1c66, 0xd7607476, 0x27598e24,
+    0x35ad6a8b, 0xe8abbc79, 0x271636af, 0xe56a6645, 0x086a49b4, 0x4ddb7992, 0x10d5b2bd, 0x3b490050,
+    0x20c3bf2b, 0x4e5fdb28, 0x75b0b35a, 0x91886ced, 0x8706050f, 0x3dd4e9c8, 0xd0d1ea03, 0xd133ae0e,
+    0x639c5906, 0x253fe6cc, 0x1c171d44, 0xf6352532, 0x523ef55c, 0xee625725, 0x0a038f3e, 0xcb511c2d,
+    0x06ba7616, 0x7cf9951e, 0xc5e34077, 0xcdecc45d, 0x46423ebc, 0xb62ad09b, 0xc3e36e9c, 0xf638b1b2,
+    0x5c9c51ef, 0xe36b4ac4, 0xb4cdc7f3, 0x4cca1314, 0x352d3dd0, 0xc3818ff0, 0x7e003cb7, 0x63b6c220,
+    0x8f8a9944, 0x54898835, 0x6ce0aa73, 0x50503efd, 0x4c9579c1, 0x9598a85f, 0xe85ed8f5, 0x95028b71,
+    0xb672ab28, 0x9d5c26fe, 0xec9e14e6, 0x6ddaa83d, 0x99aaefbe, 0x10a880a6, 0x6d3bed2e, 0xea16d67d,
+    0x0db6995f, 0x2b8090a9, 0x9cdc4d98, 0x9e590247, 0x6af31cd4, 0x6fdf3835, 0x7adee0f9, 0x3e9be8c9,
+    0xa0e23882, 0x8a31305d, 0xb565879e, 0xb229cd2c, 0xabf63f5c, 0x43dcfc23, 0xb7453af4, 0x6df1484c,
+    0x161d5e2a, 0xa40ff44a, 0xbd638441, 0x1e01ac37, 0xe87cd16d, 0x62f0af78, 0x98154bfc, 0x1634f701,
+    0x338c569f, 0xa79017e5, 0xcd15857a, 0xe5833086, 0xa1167a62, 0x14cce7c9, 0xe412567c, 0x7ce0723a,
+    0x5a0631e1, 0x94308e8a, 0xe5eb5954, 0x3e0df8bd, 0x86ffb331, 0xc4728280, 0x61048d45, 0x1f32623a,
+    0xe4135366, 0xf524d7df, 0x49b7db01, 0x77d1ed59, 0x7f9fa943, 0x5f5e9d48, 0x299f4d06, 0x4a2284f1,
+    0x5f449dbe, 0xb3072f6a, 0xd6e704ee, 0xa2bd7315, 0x995f59d2, 0xa9c37866, 0x71228e35, 0xd8a8923d,
+    0x33617982, 0xdbb95c02, 0xef379a3a, 0xda22e012, 0xb3fa024a, 0x8bfd5476, 0xb6c54aa1, 0x507e148c,
+    0xe873f510, 0xb4fba822, 0xf6053d9f, 0x2d26a8f0, 0x3638de09, 0x308907cd, 0xd9fc8569, 0xedabcd92,
+    0xc492da1b, 0x1db181b9, 0x648184c6, 0x7548f386, 0xeae8d262, 0x7b186469, 0xaa368e2d, 0x2d9fd261,
+    0xadb4d5e7, 0x8a55e68f, 0x9d2d21e6, 0xb59a0a9b, 0xf66d1440, 0xdb500b77, 0x8eca8824, 0xdd5b1be5,
+    0x2047005e, 0x94dda21d, 0xb76531ee, 0xb501755d, 0x37d08a8e, 0x9abf57bd, 0x30c7abb7, 0x7151a296,
+    0xb9ba3afe, 0x56eb96df, 0x8d5ccd22, 0xe142b066, 0x49a7c956, 0x27e97eb8, 0x35de7d1a, 0x650cf8fb,
+    0xeb4bb225, 0xaf878da3, 0xec9271a6, 0x1fa1d77c, 0x4c117688, 0x61489129, 0xc2f8eebc, 0xefad6210,
+    0x249eb752, 0x7db34c6e, 0xdac89e8e, 0xc823adf2, 0xc021c18f, 0x224a4aaa, 0xcda0e4f8, 0x85c5d7ca,
+    0x9f91aa65, 0x70081dd8, 0x33043169, 0x83b4e5c0, 0x0e9ff401, 0x462d62f4, 0x15b8539a, 0xa16bcaa9,
+    0xea2d218a, 0x00973b13, 0x23e4c308, 0x2835ff7d, 0xb8afb229, 0x63583d8d, 0xc315e7f8, 0x08dbf3a6,
+    0x26f2536b, 0x07812f83, 0xbcbe4758, 0x3d17de6b, 0xf3c47ad2, 0x67c34e15, 0xc472f911, 0xdd0aced7,
+    0x0aac7503, 0xf7c4abdd, 0x1b4ade4c, 0x753f5620, 0x416226d1, 0x15fa94e8, 0xbe84c009, 0x56af60c1,
+    0xb6e40480, 0xaa744f77, 0xe03e2074, 0xa698e5c2, 0x3b8d4c87, 0x68d86d7b, 0x5171f2cf, 0x8be2c02d,
+    0x8e83166c, 0x375b2138, 0xf037135d, 0x93225b99, 0x979d5d81, 0x4199876c, 0x5e1d02a5, 0x053cc69d,
+    0x168abfce, 0x6e8cac2f, 0x66419517, 0x97a9b20c, 0xeef6ed11, 0xa3feed73, 0x71b17587, 0xfc189218,
+    0xac50f47d, 0x9ca6a5fe, 0x54018f28, 0x919cf0b1, 0x932550e5, 0xadc115c1, 0x92f6d197, 0x696792d3,
+    0x9f6ede14, 0x4241b650, 0xa309ceab, 0xa8213876, 0x416e67c1, 0xc41009aa, 0xa1c0e950, 0xd4b04c32,
+    0xb80a8719, 0xc9a9ef1f, 0xf2ece15e, 0x500671fe, 0x86c556e8, 0xf28bd362, 0x96202dfc, 0x699436d0,
+    0x5e70d7dc, 0x3ef960bc, 0x4f8be8ae, 0x9494c0f0, 0xcf3ba183, 0xf5d63cfe, 0xd2ffcbea, 0x2f21ba1a,
+    0x682e7e04, 0x2b6e5c1a, 0x080be438, 0xcaff0cfa, 0x18630b79, 0xee36dee4, 0x108225b8, 0xb9c1b330,
+    0x337a6e12, 0x9ef0c7b6, 0xa671bd98, 0xbc2384ae, 0x10fd3964, 0x096b561a, 0x57b7f77b, 0xf5066a89,
+    0xe401967f, 0x15302b6e, 0x8074c2c2, 0x289b6f4f, 0x798a7cd3, 0x0e2bc98a, 0xeb07e040, 0xb3825fc8,
+    0x8522784c, 0x069c357f, 0xf3087d1c, 0x06bec687, 0x208d792f, 0x53297e3e, 0x8f7a0e54, 0x894d5a76,
+    0x36e8c642, 0x5a24eb52, 0x0f423a0b, 0x99f88c42, 0x189f8bc5, 0xccb785e2, 0xbba3eaf0, 0x642497e4,
+    0x50e34a5a, 0x369bdcbe, 0xd4892375, 0xfeeb742a, 0x0a7f2f6d, 0xb2ed670e, 0x304f1e1d, 0x84b49353,
+    0x2c993b36, 0xe1f8bebf, 0x4bdfab95, 0xa7bb9d20, 0x411c99f5, 0x13042c8c, 0x2c168a54, 0x815d91a8,
+    0x53147b9e, 0x23962deb, 0x583fa5c2, 0xd4fa82f4, 0x882895ee, 0x135d2392, 0x11eeb658, 0x8e9bf2c0,
+    0x411d1fa8, 0xd10bd321, 0xa6db47fb, 0x7ba6e63a, 0xb234e854, 0x5291b000, 0xeef36543, 0x70d3713e,
+    0xac1af15c, 0x137ea0c5, 0xd92a0f07, 0x0c42bbfa, 0x8bb8328a, 0x9606bae6, 0xcc36c36b, 0x799dab51,
+    0x4a0222f9, 0xc95adc44, 0x1a72923c, 0xa11cff9d, 0xf139ed2e, 0x432c7e25, 0xecec4de6, 0x1b6b8601,
+    0xe2da1968, 0x51a55c43, 0x25ef8a4b, 0xcb35519f, 0xbd005a29, 0x42d9acc4, 0xa3687862, 0x94c55b07,
+    0x43ce86c0, 0xf9802b71, 0x0bfd7a02, 0x88013525, 0xf13a3047, 0x49d457ee, 0x4c6b49e6, 0x09ebb2f0,
+    0x597b7f16, 0x6c7cc1aa, 0x20557d03, 0x8f31ed15, 0x3c263307, 0xffcbc5a0, 0xb95d7540, 0xa749d20c,
+    0xd23edb4f, 0x8887f08a, 0x551e7595, 0x8670bb6b, 0x27ff4505, 0xa42d7567, 0x4906e178, 0x5c1a42b1,
+    0xb2a483de, 0xbf8b3ffc, 0x48a320f4, 0x2b6381a7, 0xe880681c, 0x3efcf1b7, 0x125d9203, 0xd43cce76,
+    0xfb3d5ca2, 0xbb97c578, 0x47bc54e6, 0x2f769062, 0x60ba82dd, 0xaa6f187b, 0x46d50356, 0x6793406f,
+    0x62a99609, 0x89522608, 0x6b2197fc, 0x3898005e, 0x5c24f248, 0x5715b44f, 0x7a362fe6, 0x66905db1,
+    0x26d29c57, 0xdf436ada, 0x07bf191d, 0x854df8de, 0x662c6952, 0x41c9962f, 0x0e3782e2, 0xa076c3a7,
+    0x8534992e, 0x85e46b7a, 0x44f76125, 0xf7a12ff9, 0xa4951b9a, 0xfec36293, 0xa87103e0, 0x5effafa0,
+    0xb1a7f359, 0xde27103c, 0x1e3b1050, 0xf2744c5a, 0xfc772313, 0xf2c100d3, 0x1c6922c5, 0x64847f22,
+    0xa7afff6d, 0x86a9d1c4, 0x4b2a3de2, 0x81f3eeb5, 0x27bc5f15, 0x3de706eb, 0x18f63dc0, 0x0bbdcb12,
+    0xef55094f, 0x6f69771e, 0xda402fdd, 0x21e81a92, 0xf38281af, 0xbd0e2865, 0x746208e3, 0x6a42b30a,
+    0xe1d3bb93, 0x7d4f16ae, 0xb565ea69, 0xc21b2d40, 0x1a01543f, 0x5f58d58f, 0xfbadc746, 0x1a9271f2,
+    0x95ad2abc, 0xf94d32a1, 0x5809a53b, 0x8d5a5ba4, 0x4f6c8958, 0x839de42f, 0x3f966bcd, 0x46ac9800,
+    0x9ed23f16, 0x0082f08b, 0x302ef5d5, 0xe754575f, 0x27a68649, 0xf1f8219f, 0xbeae75ac, 0xe8cff222,
+    0x041109e4, 0x4b1b0a17, 0x03f3615b, 0xfc26caba, 0x76b8981f, 0xca417c7a, 0x9280ec44, 0x6c298ddb,
+    0x77c60e1f, 0x3301033d, 0xc2f400d5, 0x56cde39f, 0xbca3962b, 0xa5e6caad, 0x6b196be2, 0x013eb327,
+    0x8a18e950, 0x43224ceb, 0xc4985669, 0x08b6d9d7, 0x5d15645b, 0x9f75599f, 0x745b4092, 0xe6cbc565,
+    0xc282be19, 0x3eeaa3e5, 0x1c2ad6fe, 0x576f3b73, 0x14a6763f, 0x9cdc6b45, 0xd64fe90e, 0x58045507,
+    0x738886e7, 0x619bcd30, 0x57dbc55d, 0x25ab065e, 0xa50a6eda, 0x8453e72c, 0x5d9375f5, 0xd97d1b28,
+    0xe1eed98b, 0xfd25f5eb, 0xc0fa7ddc, 0x562eca46, 0x2fcdd276, 0x82f1a3e9, 0xa8fa7722, 0x19388457,
+    0x269c4625, 0x35ac014f, 0xb058ed94, 0xb44dba0b, 0xab3bf5bc, 0x5fb4e20f, 0x1cb6c283, 0xa18ac90a,
+    0x0034ed82, 0xe76dd956, 0x84264ef9, 0xbbeb8270, 0xd076eb78, 0xfbf2a21c, 0xfb1b4fbd, 0xa1e6d71c,
+    0x6d83ce9c, 0x5d3d021f, 0xbc91dcbb, 0xabec4944, 0x09fb4e60, 0x7667420d, 0x42ba1796, 0xe77bf08a,
+    0x6d45e859, 0xa74b926e, 0x2f6ef4cd, 0x62302af8, 0x4ae8a6ca, 0xbd3fe8b7, 0xbfc8c902, 0x3b179153,
+    0xa67304f2, 0x2a577ac0, 0xc091595f, 0xcb753f88, 0xe894ef61, 0x323e7653, 0xb7aa2fd1, 0x73760a55,
+    0x160a3b10, 0xb63cbbdb, 0xd7b2861e, 0x6ddd52c2, 0x9cd888f3, 0x51263257, 0xe8d963be, 0xf1bec23d,
+    0x8edf9f93, 0x37cee904, 0x5a26adfa, 0xf7683f0a, 0x89d2849c, 0x66c76f5b, 0x768de443, 0x607d6e29,
+    0xad2fb506, 0x47f2c12d, 0x7c07b993, 0x254b4255, 0x0aab218e, 0xbd34ba54, 0x6498a8a5, 0xb7fa46e1,
+    0x755105f8, 0xdcbfd79b, 0x647282c0, 0xcd38eca8, 0xcf84c775, 0xd69de17f, 0x8ae5b8a5, 0xc611995b,
+    0xc12ee908, 0x9d377792, 0xfdc94012, 0x6b20bcfc, 0x21ca507a, 0xc400b43c, 0x6f869925, 0x5d505a61,
+    0xf991e116, 0x22868188, 0x80deaf48, 0xcb39ebef, 0xe4dcd5a2, 0x12e4e4bb, 0x49640c15, 0xcd0675b6,
+    0x3d7bd901, 0x39e490c9, 0x684720d8, 0xd9c7c910, 0xdbd6c4e7, 0x303a0d79, 0xe3cd36b5, 0x377eb3f2,
+    0x771c0f4a, 0x3261caa2, 0x298c1128, 0x25fccf94, 0x39b6afaf, 0xd6ba34e9, 0xab4fd4c8, 0x825603bd,
+    0xf3aeb0d6, 0xfc6f1c47, 0x332acda9, 0x24b3ccd2, 0xae11e0bc, 0x3376f49e, 0x1e2396ca, 0x7ace9a8a,
+    0xe9da5034, 0xd7fddb5d, 0x715d7ae0, 0x76c8601c, 0xfc34a295, 0x6ee0f087, 0x6c166999, 0x13806885,
+    0x4545d8b1, 0xd7d3a20d, 0x81162260, 0x2cfec5f0, 0xf02e3000, 0x6fc7bdc2, 0xd01cb941, 0x9789de8c,
+    0x11e69354, 0x4e63e51e, 0x70e5fc6b, 0xe962150a, 0x00146e65, 0x6f90c0a3, 0x0fb58fd0, 0x500fcaac,
+    0xf5d2cb7a, 0x7a010ac8, 0x34d68db9, 0xe7820736, 0x4c70c519, 0x0347ddb1, 0x38017d50, 0xa9bb09c7,
+    0x43fcadca, 0x31d0d75f, 0x2596e39a, 0x67577b61, 0xe9ca4e4b, 0xcc0c191f, 0x6426099c, 0x3a43ccf5,
+    0xa0a476c2, 0x6cb02535, 0x3b05c910, 0x50042522, 0x1eb03b54, 0x4212f411, 0x7f3c4556, 0x64696ccc,
+    0x09d25e28, 0x3a292bf0, 0x6b7d4cf8, 0x98d38792, 0xb09a41ec, 0x81cdade7, 0xe405e883, 0x8cdab229,
+    0x85be78fc, 0xeac55036, 0x6264cb9c, 0x1574e6c6, 0x3c3e7070, 0xf596a1e9, 0x43db4f45, 0x593e2e92,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000590295810358705651712 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0c, 0xb91d406c,
+    0x00000000,
+    0xd0f51d67, 0x8abe4310, 0x4ee900ef, 0x6fe10085, 0x841280d2, 0xa2b1c0b2, 0x519ad5c9, 0x1a59d971,
+    0x979c7faa, 0xf9ceaf0d, 0xee65142f, 0xb369f63f, 0xd4821b01, 0x5a95a110, 0x0865c409, 0x136e0c48,
+    0xb22919a7, 0xffaff0c3, 0xd6aa4c61, 0x80b1e418, 0x85bf7306, 0x2f04facd, 0x8113803b, 0xff3afffb,
+    0x36f85637, 0x106f3544, 0x804bb5de, 0x12b53d05, 0xddefcc75, 0x82a50a95, 0x23e9486f, 0x1e2022d1,
+    0xdc9a3836, 0x42d11001, 0x28be9206, 0xc7a8a5a5, 0x0e7aae94, 0x30fde0ca, 0x00995d90, 0xba0a74bd,
+    0x3d960f27, 0xaee1bf67, 0x8abe39fd, 0x8a39cf59, 0x24802c33, 0x2463331b, 0xa05b1154, 0x1fd68ff2,
+    0x6cede77a, 0x9674b8d9, 0xbcc9650a, 0xb2d09e42, 0x715e2f61, 0x418dd261, 0x153069de, 0x937e4245,
+    0x20c6c0a1, 0x2c32c781, 0xe29a81bc, 0x8d0a1d0e, 0x0c419f86, 0xeb8be5eb, 0x7d38b4a8, 0x771dd05a,
+    0x62a1a082, 0xfc1e7ae3, 0xaf557a39, 0xceefe735, 0x84a7be8c, 0x49bdff02, 0x60fe4ca5, 0x832ee209,
+    0x85909cec, 0x0a36f8cd, 0x8c3ba9c5, 0x5db924c5, 0xa4fb7983, 0x1d4d770f, 0xf9a6bea2, 0x9cf41d14,
+    0x75d4614d, 0x8dc38083, 0x6d569d1a, 0x8144587d, 0x4071ec09, 0xe2441967, 0xd98b0496, 0x16c0a15f,
+    0x638729e9, 0x26895522, 0x57961a44, 0x787a314b, 0xca4da616, 0x426ee947, 0xb04f1ae5, 0xea87e4a8,
+    0x7e039fdc, 0xca04bb62, 0x1c7e0e61, 0x47bddb98, 0x9ab1baec, 0xc4c0a7d0, 0x7b659cba, 0xf877ef26,
+    0x73035fa0, 0x885d8366, 0xa8deb1a5, 0x69da6561, 0xe5d18035, 0x6f416e64, 0xb262c537, 0x8da3a63e,
+    0x350ca438, 0x224b5c7a, 0x848f9fe5, 0x71d6405f, 0x1c1491ea, 0xa2cbcc5a, 0xd4901a25, 0xb35a5765,
+    0x2f45a3ce, 0x4c0add13, 0xd8f2b425, 0x4913d1bb, 0xd3cc36e2, 0x1e882e2c, 0x12185a90, 0x20e0d2e2,
+    0xafa4172b, 0x8c45fda1, 0xdec8eb97, 0x16e2c9c8, 0x7a327f4d, 0xef38a8d3, 0xde4d73cc, 0x0027974a,
+    0xb4420c9c, 0x65a0bbb5, 0x2636c464, 0xe9950206, 0x13fee55a, 0x739b10bb, 0x0d5d1851, 0x039e4192,
+    0x9420bcae, 0xa9d56cbb, 0x103b6e9b, 0xc2d1f3e7, 0xaf38834e, 0x8b06c90a, 0xf123825b, 0xeed764e8,
+    0xd52f531d, 0xb06488d2, 0xd11cf5ec, 0x8b3a2da4, 0xe119725d, 0x2df7770e, 0xafe150ee, 0xb8001bb9,
+    0xf03f765a, 0x0b756c7a, 0x20490ee2, 0x9fb48658, 0x162cf906, 0x4b54849d, 0x91cbc568, 0x6554a6a1,
+    0xfc3a13a7, 0x6d7af084, 0x0c4e080c, 0x820f0f09, 0x25ea8a96, 0x0031e7c0, 0x77ed4092, 0x2459a49a,
+    0xd74525c9, 0x45892d99, 0x1405cfb2, 0xc505cdae, 0x115b5786, 0x74ec8ab4, 0x9de54965, 0x1821662f,
+    0x84e84e30, 0x9a12abc9, 0xa8ab787a, 0x94ccb8e4, 0xd43e0533, 0x5863b2bc, 0x52a769e4, 0x25a29092,
+    0xee9dd654, 0x3f9dc143, 0x3c8857b4, 0x0d2fec8f, 0x576c08e3, 0xbf76370a, 0x9d740af4, 0x8c38299f,
+    0x87d35a67, 0xb8a2f858, 0x69eeeb9f, 0xfaf32db8, 0x925c2efb, 0x69f400de, 0xeca06c48, 0xa9becdeb,
+    0xcbd43daa, 0xc3eec261, 0xe5e1a7eb, 0xa34ec831, 0xe7f669bd, 0xd4ba9ee0, 0xbd9c0789, 0x2d1e0aeb,
+    0xfa9397f8, 0xb3738c52, 0x71ce8619, 0xd2e12861, 0xd108fd34, 0xd4b240a4, 0xff41e801, 0x4fc374f9,
+    0xfc85c669, 0x9bbe3cc3, 0xe7ef7218, 0x5c13b594, 0x154cf8f3, 0x292981a8, 0xab5698cd, 0x5446d6f7,
+    0x2d3dd72f, 0x8daff973, 0xc8f1ea68, 0x611cdaba, 0x4b7eb8af, 0x3eaf5a3a, 0xef1bfd7c, 0xcecc6be5,
+    0x42ac7619, 0xaca6bc51, 0xf4341df4, 0x6216a7c2, 0x3ff6b444, 0x47695096, 0xaf274e82, 0x410a4fc2,
+    0xfea0a4a6, 0x1c9e8514, 0xe72465b6, 0x3855a3bb, 0xaa5dbdcb, 0xb705fea6, 0x88d4f459, 0xa9e36fd3,
+    0x5e2d4db6, 0xffaee6a5, 0x0940821d, 0x0153360d, 0x80dc0b07, 0x16148437, 0x3e2c374a, 0x015db731,
+    0x50d013f1, 0x30041e7c, 0xf0cf3c6c, 0x9572f9fc, 0x3a0153f0, 0xd8209f1f, 0xf0f2a400, 0xe837b1f9,
+    0x714b3e6d, 0xc7a23037, 0xea6290e2, 0x22cdce4c, 0x1224fb7b, 0xb914a5eb, 0x86ee77d4, 0xfc26c8ef,
+    0xf1a3d8a7, 0xc54c445e, 0x9c2940b4, 0xd72b86ee, 0x8475573a, 0xda9ef927, 0x873510b3, 0x6f2ba506,
+    0x465711ea, 0xb23619e9, 0x89f29a6b, 0xcefb1994, 0x49a4f4a0, 0xf9cc8592, 0x0be25cbe, 0x4ba67dc0,
+    0xff04e3e4, 0x58a3f204, 0xe4026485, 0xcff26ca1, 0x25652313, 0x6772d367, 0x11e6bea3, 0xaa20cb51,
+    0xa8152d41, 0x36e95c16, 0xf281c369, 0x6c92f106, 0x31676ee3, 0x2382d617, 0xa246a950, 0xf2a5fdc5,
+    0xe37b46c5, 0xb06a18bd, 0xb9b3d271, 0x650a5d45, 0xb3771427, 0x370deb5b, 0xb0149af3, 0x59ff5369,
+    0x7e2825af, 0x6573ad7e, 0xd9669922, 0x5e4cd44e, 0xcd9b7309, 0x1d3f6ec2, 0x8da0deb9, 0x0796148b,
+    0x81777eb7, 0x10439c74, 0x01a2a48e, 0x462d0a03, 0x05d29c4d, 0x0039463d, 0xd109d0d5, 0x0e8fe5ec,
+    0x13e0c3a4, 0x9d8cabc4, 0xb5d4cc45, 0x6334ab61, 0xa003171a, 0xf19f9022, 0xa91eca35, 0x00d8a29e,
+    0xf8906824, 0xdecf5c6f, 0x3b828b8d, 0x263ca757, 0xca23f703, 0xb2f12524, 0x03ebec7c, 0xcc5de411,
+    0x2b186bd4, 0xda8032e4, 0x4fd36872, 0x9bbdece9, 0x1792fc2a, 0xde8aa488, 0xb4d67df1, 0x021f22ce,
+    0xe16054a9, 0x61242380, 0x1320c607, 0x9f106b12, 0x4ae8be5c, 0x94b245ef, 0x743d763f, 0x1e2f462c,
+    0x3b0b1f76, 0x6f2a3ace, 0x7b1c0ae8, 0xf560ed07, 0x0946f648, 0x103e0b57, 0x14cdd4e0, 0x89e3b0af,
+    0xd7054c47, 0xf0971730, 0x4b490aaf, 0xf29faf19, 0x36d173fd, 0xe8cede0a, 0xffc9c2cc, 0x4f37e01f,
+    0x0fafed98, 0x72e35e92, 0x9acaf666, 0x847a926e, 0x03c902d5, 0x99207288, 0x670dd688, 0xeb0ae7bf,
+    0xb9ce1f05, 0xe40748b4, 0xddecdf13, 0xef41234d, 0x67c7e9df, 0x58132814, 0x6dfbe2e9, 0x2a75e3bd,
+    0x48f25497, 0x17aa13a8, 0x9f02078e, 0xc7d7d1d6, 0x3c01141e, 0x297fbb0f, 0x253803eb, 0x78d83364,
+    0xb6d0de40, 0xc4c28dcc, 0x31fc19ae, 0x096f94e8, 0xd7145741, 0x09c2ac04, 0xb34de476, 0xdb8ec548,
+    0x1a7aa39c, 0xf329c8cc, 0xc2b9afbf, 0x0de525b8, 0x074394fe, 0x16cdf058, 0x1500242a, 0xaca819f1,
+    0x67645c0c, 0x5f0719f0, 0xe6ed8888, 0xbaab4b22, 0x407da471, 0xec37e108, 0x9ec98417, 0x4d73b028,
+    0xad159292, 0xc39519b9, 0x24cd069d, 0x12186afe, 0xc9a70a02, 0xd1fcfb78, 0x75815c1d, 0x2a13e425,
+    0xcbe60b90, 0x7861dee9, 0x4ff00ba4, 0x71b46441, 0x69b18ee2, 0x4063a170, 0xd5df875d, 0x9a0793bb,
+    0x8aa69e4b, 0x5e779eb8, 0x9bb2478c, 0xf5ec6ad0, 0xab15829b, 0x349e7563, 0x73ce485f, 0x16582809,
+    0x29a0cce4, 0x409ca6fd, 0xa0aefb7e, 0x790fa8a8, 0x446bd726, 0x60ce6a6e, 0xd1d3db47, 0x2fd71b62,
+    0x1f9b260e, 0xa00484da, 0x5bfd090d, 0x04f2673a, 0x92e0d9b7, 0x00d8d74a, 0x994f87fb, 0x55c2c355,
+    0x26809c91, 0x48709b6a, 0x58832748, 0x14629c43, 0x2fb7fc4c, 0x5a5f8235, 0xe4d945f6, 0x2c9979e6,
+    0xed09ef2a, 0xeb6f64b9, 0xb62b2ea2, 0x33fbd528, 0x98515a93, 0xb9d95864, 0x8993cfbe, 0x95def341,
+    0xffc6fc59, 0x25533af5, 0xf0b4397f, 0x85f79bc0, 0x02a8cf4a, 0x876957c4, 0x07af2f98, 0xbd746d0f,
+    0x0e246e2d, 0xac39e0fa, 0x5975c7cd, 0x4bea8e84, 0x5369ed98, 0xe2173baf, 0x880ce678, 0x892137ae,
+    0x930bec9e, 0x1a1f1d8c, 0x60151275, 0x4c7db7c2, 0x3fddb0c8, 0x95cbe262, 0x21ac7e96, 0x438ca524,
+    0x83adbb4c, 0xab92cd54, 0x9abd3ffa, 0xa7201d57, 0x23b2020b, 0x9f3ba9bb, 0x8e975d2e, 0xd5e387c7,
+    0x57e15399, 0x672dab48, 0xb03446a7, 0xeb1e3262, 0x05af8a5a, 0xb6817404, 0xf5906a26, 0x52283df4,
+    0xca85bb69, 0xa2b091e9, 0x99b97179, 0xc514a605, 0x732982dd, 0xbce8e1a7, 0xee484bfe, 0xaa530f9b,
+    0xb7c1ae58, 0xc073e60d, 0x85a18796, 0x18aac554, 0x3cf8ec43, 0x6a394150, 0x8022fc0a, 0xde70b8c2,
+    0x9c21e2d8, 0x945d5c64, 0xcd8b1adf, 0xdc30eb23, 0xd454a653, 0xfd549eea, 0xd177c3d9, 0x6ce4055a,
+    0xc3e1865e, 0x9b54408b, 0xafa86da1, 0x9f7bf571, 0xa073d4c8, 0xd4045bf1, 0x6b7c97b3, 0xa6dbc5ca,
+    0x045b4c4f, 0xce94585a, 0xde8731c3, 0x621b581a, 0x7eaca16c, 0x5866c40b, 0xfe8ee62d, 0x3703a8ba,
+    0xb7ebc80f, 0xa73e0546, 0xb7213700, 0x20a97a48, 0x82a04da0, 0xbdbfdf98, 0x83e074a7, 0x91a8a445,
+    0x61ca54fb, 0x3c705058, 0xef0585ae, 0xde966570, 0x66845703, 0x10f018c9, 0x2bc8cbae, 0x8992087e,
+    0xf10ad30b, 0xfab68c82, 0x4f70b468, 0xfe179c6e, 0x886e6d3c, 0xdf5d08e0, 0xaa27f832, 0xa8d39779,
+    0x03647a8c, 0x003bb3bd, 0x787d9224, 0xba4484dc, 0x4a644e9f, 0x22642960, 0xfd94d268, 0xa878bf1a,
+    0xc80fafa0, 0xca638fc0, 0xe7a2729d, 0xbeab6ea5, 0x9f759cce, 0xec9592c7, 0x52361bee, 0x7a38751a,
+    0xbbbd68a8, 0xbd2d44c5, 0x15d3bb54, 0x80ebf2f0, 0x8bdec88e, 0x41732155, 0x5b1399da, 0x20ee79c1,
+    0x0ff93380, 0xfdd47ec1, 0x877494d6, 0x7de389b2, 0xcf466b52, 0xd0542e17, 0x28bf2b39, 0xcd25f74e,
+    0x92282146, 0x20d609e0, 0x64b74aa5, 0x3538cb5e, 0x0c736398, 0xdd839230, 0x661f4a72, 0x1c7903f4,
+    0x98be9e7d, 0x565bd937, 0x1bc90352, 0x695f0748, 0x81d98872, 0x3fecaf86, 0x703bc7ce, 0xc915e28b,
+    0x18f6e43c, 0xcdbafc54, 0x395856b8, 0xb5be7266, 0xc0d7df47, 0x04c9db55, 0x2924eaa4, 0x7bb829e4,
+    0x40840036, 0x055aabe4, 0x321af7a6, 0xabaf29bb, 0xc23bb26b, 0x8450d3d5, 0x3c63b539, 0x520f5f46,
+    0x5d967f95, 0xd890f61c, 0x3f517347, 0x77c93d1d, 0x7f5b042e, 0x57ad341b, 0x1a2c0f70, 0x40f1975b,
+    0x71b7f42e, 0xeb1fb8ec, 0xe556407b, 0xd8fc7a24, 0xa833e030, 0x028e1276, 0x84f92101, 0x3c56707d,
+    0xdb7a5a8f, 0x879ae439, 0x24132abc, 0x2f8f0bea, 0x2ae169c6, 0x9ef6e6bc, 0x5b8eefea, 0xaf6cdf6c,
+    0x46619861, 0x395b9d1b, 0x28b1aaf9, 0x5f6a3e90, 0x0269c044, 0xa19f9787, 0x843ff3b6, 0x7fd9c7aa,
+    0x78970ba7, 0x2cfbb326, 0x3837d0c1, 0xfc985d50, 0x3e2de64e, 0x4e11c5da, 0xb9171f9f, 0xdebfe00d,
+    0x57f3b496, 0xe549ed45, 0x582d8101, 0x1e1a31a0, 0x905e6954, 0x5c638f87, 0xbcac586b, 0xd29ad2b3,
+    0xcd284fb4, 0x4c87eea1, 0xd6989c05, 0xf58575c2, 0x8ca145b3, 0x2e44df63, 0x3d52d458, 0xb58258e8,
+    0x04ed73b1, 0xbd40c43c, 0x0ab51c96, 0x0786e5a0, 0x495d0cc1, 0x7e760af5, 0xb3f458c9, 0x70a1d8dd,
+    0x41ecad67, 0xcda7505a, 0x393540b1, 0x28bf7f0f, 0x4e199bd1, 0x6b66e3ae, 0x1f15d941, 0xeee8c438,
+    0xb796dc5e, 0x93d5402e, 0x30b882ca, 0x805e752f, 0x4e4e5ca2, 0x040905d5, 0x12ff3183, 0x5933e2bb,
+    0x646f9bd1, 0xeee38e9e, 0x7a5c0ab7, 0x87e23263, 0xb7d8d7d9, 0xa037ab32, 0xbeefa9ff, 0x91db40df,
+    0x6e952bcd, 0xab110fba, 0x7762d1de, 0x9b3a5f72, 0x882632c1, 0xc1552d01, 0xbedb73f6, 0xa1860cb8,
+    0x4524e2d9, 0x129f2853, 0x3052ff16, 0x9e3ce0ae, 0x6f217f40, 0xf558fc71, 0xba64bcce, 0xe4fe1c1a,
+    0xb7598cb6, 0xb2f06398, 0xd137a95d, 0xaf1ec0b8, 0x9c2c7ca4, 0x43ca0a60, 0x9c6cb789, 0xd8835994,
+    0xcb00bf5a, 0xc8fd05f4, 0x2976ff04, 0x2342bd09, 0x9b63d381, 0x18e926fa, 0xf36e5ec2, 0x3ed55e21,
+    0xa6f99cde, 0x835fe6f9, 0x6f1aa17b, 0xb2f0ba76, 0x10e83f01, 0xa289d7c5, 0xb1d445d9, 0xde39518a,
+    0xfa8898b4, 0xdeaa7416, 0xf4529ad2, 0x945f75b2, 0xa3c33e38, 0x285b2a40, 0xd7930ee8, 0x03fc77b1,
+    0x9dcac869, 0xa2e900db, 0x9d9927d9, 0xffbb9a42, 0xc16dcfcc, 0xfd766169, 0x8dc6b2a4, 0xbc301ce8,
+    0x34263cde, 0xbfec2a6b, 0x2e5e2cdb, 0xb0d3c049, 0x716c4c09, 0x42fa0c44, 0x26c21289, 0x793ccfab,
+    0xa0ee4a8c, 0xec67230d, 0xca431a59, 0xbde95dff, 0x5559a706, 0x52ef20cf, 0x9faef8db, 0xd0022c78,
+    0x348bf06e, 0xfcdf0d90, 0xea8b1ee1, 0x4981f13a, 0x34451d34, 0xf1494989, 0xfa232ae7, 0x88fbb265,
+    0x8c15e9c8, 0x559cb85e, 0x57592e39, 0xab1ff0e3, 0xf4bdc963, 0x9a737694, 0xc208528e, 0x28172a87,
+    0x6dacd49b, 0x5d2fd73b, 0x6e874fe8, 0xe58a963d, 0xe10c406b, 0x9d42d008, 0xfd2706ff, 0x4d3bb0ea,
+    0xa7721341, 0x9d0ef909, 0x269015ce, 0xf0d7ed0d, 0x72f8d638, 0x250d524a, 0xa8fc0720, 0xb037e9b1,
+    0x03249e73, 0xde12da48, 0xb7b74241, 0x5fd7663d, 0xa3e5d362, 0x8ac34019, 0x93a41fb7, 0x6133a804,
+    0xb061e74c, 0x48dfee77, 0x05105699, 0x60d2d951, 0x138d5e39, 0x90333a37, 0x82d4b238, 0x3c91b17d,
+    0xa40a6df8, 0x0ae13f24, 0xa7d9896c, 0x960e636d, 0xc197e382, 0xaefdfbd2, 0x6ccd0786, 0x21d5a13d,
+    0x6e3f97d0, 0xa86b5c6f, 0x08afb8c4, 0xa414dc9c, 0x78df6fa4, 0x5f42cdee, 0x9e4966c6, 0xab986d91,
+    0x517e6fe3, 0x2b6693bf, 0xc3e51366, 0xb62ed2ca, 0x1f0ede4b, 0x1f912057, 0x6cb379da, 0x9824d94e,
+    0x844d6162, 0x09966806, 0x345491f3, 0x54f76374, 0x90245cf9, 0x4719f49b, 0x603db92c, 0xb9355a7a,
+    0x0ac5c315, 0x1c9804cd, 0x625894fc, 0x9821ecd7, 0xd5b71b47, 0x50080f09, 0x91b4896b, 0xd5286841,
+    0x0793031f, 0xe40776b8, 0x3e2b4c31, 0x7bb536c5, 0xbd467a0e, 0x01a90a1d, 0x63526902, 0x79554b08,
+    0x9a4c6768, 0xbf0eb63f, 0x7f060ccd, 0xf24ad921, 0x4475bd42, 0xdc7acbcd, 0x0d11e7a4, 0xd9d1f326,
+    0x7d65b6a0, 0xae4cab24, 0x26979502, 0xcd7c17f6, 0xec77436d, 0x2bbb92e3, 0x66e6ab2e, 0x33653c7f,
+    0xad83cd84, 0x6bec01b7, 0x9955a149, 0x1c173006, 0xcbb43cef, 0xf9d39928, 0x1ef8600e, 0x6e14e666,
+    0xebb23df6, 0x5ffc3455, 0xfc0b845f, 0x6fb70505, 0x61edfe05, 0x2070997f, 0x4adc30a6, 0xe1f00db4,
+    0x26f70771, 0x6782232d, 0xd69f4a03, 0xd17b4832, 0xedcca351, 0x25b50ec9, 0x4f49e270, 0x6a49f282,
+    0x864ed56b, 0x58059bc7, 0xcaf0db0b, 0x8f7c9127, 0xe412137a, 0x6c8cee5e, 0x1314b525, 0xff5fc4a8,
+    0x3ac19fd9, 0xff686bd2, 0x41a076b4, 0xeb15e499, 0x64ffa79f, 0x848b48ef, 0x38cba3e1, 0x52ba33c6,
+    0x3fc68fc8, 0x6c3409d7, 0x5bba58bb, 0x02f9bf6d, 0x9682e737, 0xd7f25d82, 0x51e385c9, 0x7eaaa8a6,
+    0x1a45a262, 0x1922acc5, 0x09457d7f, 0x4f618781, 0x012257cb, 0xc245391f, 0xf39965af, 0xc765b1d7,
+    0xb7a1eb9e, 0x81e5971d, 0x543b685c, 0xd48005e6, 0x19ccdeda, 0xa140da63, 0xfda3fb6a, 0x46fc2e3c,
+    0x7af03da4, 0x17ca35ff, 0xe4c1c010, 0xf09b8c58, 0x1b3233fd, 0x1e1591ee, 0x1a27b1d5, 0x6c555038,
+    0xe4c5f617, 0xe77e2cbf, 0xb0d42491, 0x8b75f2ea, 0x2bc87c49, 0xc71ab33d, 0xd3b431c0, 0x9b052c9e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000295147905179352825856 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f686, 0x5c8ea035,
+    0x00000000,
+    0xe7492947, 0x7751093d, 0xe2219b93, 0x7774232a, 0x69e7636f, 0x10ef3a39, 0x2cbd4bb0, 0x9b360e41,
+    0xc2dd3279, 0x3b3678f1, 0xb259aaac, 0x88271ac8, 0x7e453355, 0x1edeb24b, 0xe5fadfb3, 0x32b935d1,
+    0xe50798bf, 0xd8ba860d, 0x3bafbe92, 0x4104d521, 0xbb568069, 0xfe6116e1, 0xcbb948f8, 0x1e155566,
+    0x22b6c844, 0x01a45fea, 0x2b1e8596, 0x0d29db4a, 0x674ed4d0, 0xda36a4e3, 0x29b399c7, 0xb809582d,
+    0x2e225c38, 0x7e391815, 0x02db5c53, 0xb27d08b6, 0xcde90417, 0x6032dbd0, 0x8290e2ff, 0xe6dde2cf,
+    0x8236a13a, 0x36fa534d, 0x1ea9a3c9, 0xa6f543c0, 0xc4200433, 0x0cd5ae9b, 0x358652de, 0x5c3a0ab5,
+    0x7f6e3c09, 0xd47ef4bb, 0x1f68d0b2, 0x7c3bd80b, 0x6670c96c, 0x67b337d0, 0xa9d9a308, 0x5693cb7b,
+    0xcff4674c, 0x5c0f0ffd, 0x3bfef6e7, 0x6636e8dd, 0x53f1016b, 0x8ee0bba6, 0xfb909f87, 0xce93a8dc,
+    0x2c650505, 0x96ce6da4, 0x87c90d47, 0x5bfb18f3, 0xa349713b, 0xdc6e5e2b, 0xb625f06c, 0xa597d75a,
+    0x94b00541, 0xa6f7b861, 0x6977623b, 0xa815877f, 0xc9699972, 0xaa03aba5, 0x8217af71, 0x8b90734d,
+    0x718306d5, 0x3164721f, 0x7cc700ee, 0x87780915, 0x42079f21, 0xea346f8c, 0x4186577f, 0x863f9170,
+    0x295639fb, 0x5533c123, 0x6401d919, 0xd5aec2f3, 0xf712af3e, 0xb60880dd, 0x9a073029, 0x3d7a03ff,
+    0x16814fe1, 0xbb084cb5, 0xefa51eb3, 0x848d2dc1, 0x35582ed1, 0x20a39c34, 0xd54f7938, 0xcf7d3a97,
+    0x1a70bcd2, 0xe84f3846, 0xb46f168b, 0xe4628959, 0x825fd5e5, 0x926f3ede, 0x576412b4, 0xa555d02b,
+    0xaae24a4a, 0xc281e30f, 0x45aa0cf1, 0x23e7c9c0, 0x2688f56d, 0x4f4c2af6, 0x5b85c3bc, 0xa7bbd1ae,
+    0xb96c12b5, 0x8aa0e28f, 0x025f1edf, 0xb093452b, 0x2f9dbd53, 0x506d57b6, 0xb19a89e5, 0xc52d01af,
+    0x49599b3e, 0x5c05f319, 0xb82c8363, 0xedcbb667, 0x599d9b7b, 0x78dfec91, 0x617bd4b2, 0x52d5a23d,
+    0xa9773af5, 0xf31c73f3, 0x21b6a18d, 0x572d5a59, 0xac9de632, 0xcb9a8956, 0xef5dfa54, 0x503dd872,
+    0x6544c90f, 0x95ce675a, 0x2a292afd, 0x39881074, 0x4f5d581b, 0x8cc55169, 0x17e2a03d, 0x97ef9212,
+    0x457708a4, 0xb89e57ec, 0xc1f3f482, 0x2b24752d, 0x0d22ce93, 0x3e78e743, 0x0e6bc3db, 0x0b43b07f,
+    0xedb0a144, 0x8dc2293e, 0x85bb0de8, 0x2444f45a, 0x152ffdf1, 0x9f52dcbc, 0x870e4051, 0x40db169e,
+    0x22d280f4, 0x36ea3b43, 0x006c5138, 0x3674b8a7, 0x22f89cc3, 0x5ce08064, 0x64a643f7, 0x6b27ca84,
+    0x9342f484, 0x07d29895, 0xf0f71622, 0x48cb1ecc, 0x2412e0a5, 0x5c744b7d, 0xf300d640, 0x3f067514,
+    0x63d0111a, 0xad5c911c, 0xb2bd9e7a, 0xb6c70876, 0x1ad92bb6, 0x1bc0d3da, 0x536f5ff7, 0x540b7273,
+    0xd2f5e3df, 0x5a7cc335, 0xe975edf5, 0x1feafa16, 0x7d87b2e3, 0xc187a2f3, 0xd106b6de, 0x98486df9,
+    0xda6fc9f8, 0x9d914801, 0x157ee6a0, 0x2d518608, 0x6822726d, 0xd1b03346, 0xf397e9d8, 0xfee3a79e,
+    0x8220719a, 0x697e25db, 0xb4399ae1, 0x61c38bce, 0x6cb2a7e6, 0x1d306643, 0x2a8f8583, 0x54b15219,
+    0x8469ccc9, 0xffc8fa4c, 0xe046f263, 0x6ffba145, 0x57bb358b, 0x927f105a, 0x29897412, 0xb36cd07e,
+    0xf1816266, 0x88b233c0, 0xcb22a066, 0xb8a6d9f9, 0xc79e83af, 0x52833101, 0x1ef1d547, 0x6ce1b353,
+    0x98240e6f, 0x649571e4, 0x0a6c43e1, 0x19683511, 0x63fdfa5c, 0xa0c5b1fd, 0x9385a0d5, 0x32824008,
+    0xf3606c58, 0xe853efad, 0x851005df, 0xaf89ef9d, 0xfc71400e, 0x124c00ae, 0x8ce3b06f, 0xe04dd0d4,
+    0x06decefc, 0xad59555d, 0x208b7f28, 0x9d34e45e, 0xe4a69cfb, 0x8a705eb9, 0x530a663e, 0xe437dc67,
+    0xbca241e2, 0xa785d247, 0x77b1d240, 0x56696fd8, 0x9e641811, 0x7edd659b, 0xcccf10e4, 0x9295ad7a,
+    0x744c7829, 0xf673a0d2, 0x494f0682, 0x0b074b23, 0x62edb8c8, 0x88f8ba2b, 0xf58a7906, 0xa47ffed9,
+    0x9fcebc30, 0x29cfcd41, 0xc25bc3ff, 0x58ee0a1c, 0x0a9f8a9b, 0xea50f612, 0x73feba10, 0xfd12f2f5,
+    0x72faae13, 0xda092d05, 0x9d246934, 0xc022dc9a, 0xabcf89aa, 0xe0137bde, 0x9b7e8e36, 0x280cb41d,
+    0x263901b2, 0xba404130, 0x7aee6973, 0xecad3185, 0xf05883ef, 0x535fe06f, 0x827fe26e, 0xbdd647d1,
+    0xe47c5f31, 0x1b60c4a3, 0xa5fa8024, 0x70244b21, 0xef98fb94, 0x941a227b, 0xbefbb2ff, 0x3dfa3ef0,
+    0xba336670, 0x183da8c7, 0xc5527c25, 0x89de823e, 0xbca10125, 0x0c289cdf, 0xeabf91c2, 0xf369d26b,
+    0xccb545a7, 0x5b7cadfe, 0x702b0580, 0x26b2d695, 0xc04122dc, 0x90a37f09, 0xe85f505f, 0x4204a78c,
+    0xc246c98e, 0xa19c636f, 0xa17178ce, 0x058f1716, 0x8f06de6d, 0x6c407137, 0xc3860a75, 0xe3043680,
+    0x012244b0, 0x7d440c1b, 0xa2f674c0, 0x8b44be5b, 0x2fdb8d6b, 0x7269e303, 0xb19bb8ef, 0xdde9ff23,
+    0x6271437e, 0x32b3a2c6, 0xc7b8b20e, 0xfaab90ca, 0xa924fc2b, 0x3ec38756, 0x4a0d036a, 0x49476b9d,
+    0xd4e1fbf8, 0x87440dca, 0xc69c9a01, 0xf0da3593, 0xc3f1c85c, 0x7566dccd, 0xfbb7655f, 0xaeeb06ab,
+    0xd3a3f7ed, 0x9ee0392c, 0x3234ff0b, 0xe4894e6f, 0x6cb62840, 0xf14622b9, 0xa27c80b1, 0xaaf74c45,
+    0x48eeac32, 0x767baa2a, 0xabd3e1e6, 0xa027b98f, 0x33677c12, 0xcf0050c5, 0x7916de67, 0xd731b71f,
+    0xa8b15362, 0x4faf3bde, 0x0aa0e67d, 0x1266bc35, 0x5d6754aa, 0xb053b0ba, 0xa9fda207, 0x56e1cfd4,
+    0xfa6305d0, 0xc7908ec9, 0x3cdeca98, 0x4ecfb280, 0xe1ae4d31, 0x7df4b429, 0x5e58f5a8, 0xb1d0b139,
+    0x0943666c, 0xa6f62c32, 0x8e69dd28, 0x90902150, 0x7aa3f3ba, 0x854849ee, 0x805c21c9, 0xbc56a69f,
+    0x5a509720, 0xce1cb930, 0x65a8b2fc, 0x623c5995, 0xb4770fa0, 0x1f22651a, 0x8b600e54, 0x968e73bb,
+    0x8eed3ce6, 0x194094f5, 0xa1d9a5c4, 0x0888c250, 0x719dc6f7, 0xde9e4c02, 0x63105e23, 0x165d19de,
+    0x600c082a, 0xad32946d, 0x7f76bb5f, 0xeb4587ea, 0x623e53e2, 0xc7ea28ce, 0x52a4bcf2, 0x5f90c547,
+    0x07662139, 0x1aa2bbbe, 0x2ca9e4b1, 0x2ac8565a, 0x2f7730d7, 0x7bb2584f, 0x28327434, 0x88ae6804,
+    0x689c2187, 0xc3acad98, 0x1997f4c3, 0x7758dc92, 0xa89655c9, 0xa5290a9b, 0x795c7ac7, 0xd4701307,
+    0xaa9b600f, 0x28d8c6d2, 0xca1e7115, 0x2a324a22, 0x42e34c92, 0x0c3bbeec, 0x88049aae, 0x2095ea0d,
+    0x6cafaa1a, 0x5c924c5f, 0x9fd0f090, 0x43c60377, 0x34529c37, 0xc43cbcd3, 0xda87c1bd, 0x17686147,
+    0x2f6d3ef1, 0x8a8ef989, 0xeb8a75e1, 0x8bfe6b99, 0x9eaf42ea, 0xf8cecae4, 0xcf2d62fb, 0x53bd1a54,
+    0xcdbb74ff, 0x9be2fd5c, 0x384cb1d9, 0x74e2f351, 0x9d57e30b, 0x4497fc45, 0x88d1a0e1, 0xa66327be,
+    0xf8dc652e, 0xbeeed329, 0xec91dd64, 0x3c6e8360, 0xa28f64c9, 0x9a4494c8, 0x65b6136f, 0x983c5c97,
+    0xcdc59392, 0xd67a9b1b, 0x2f976f35, 0x64921734, 0x66acb320, 0x05e5b3e3, 0xd3e3ebef, 0xb5f5ac14,
+    0x3428e562, 0xd0583c28, 0xfd275a03, 0x0c8fb0c9, 0xf924183e, 0x62ab1d2e, 0x469d9062, 0x0e6c83de,
+    0x7c555d23, 0xa0aa90f0, 0x5f543034, 0x932dadd7, 0xb0008830, 0x8d761d44, 0x8daefeaa, 0x592999f1,
+    0xa896cffb, 0x93f1d797, 0x3bf71457, 0x3607321c, 0xff365280, 0xb62148cf, 0x394e2497, 0x13762172,
+    0xc95b0e34, 0x1ed06896, 0x8915d6a0, 0xdd7e2dde, 0x71082751, 0xcd43ef8b, 0x66c9ab92, 0x96fdf4eb,
+    0x9e401e7d, 0xa0e5a642, 0xa5a1bf8c, 0x8c12b0b2, 0x5ad05c42, 0xd12c15bb, 0x2e689cb0, 0x8a7883d1,
+    0xd61e43dd, 0x275ddcb6, 0x851af112, 0x7d72e52a, 0x66b7fcef, 0xa7b8c7da, 0xc9b7b4c8, 0xdc27c04b,
+    0x945c448a, 0xf34eb6ae, 0xaf5ea21a, 0xf819a425, 0x0e3428b9, 0xa4b40fd2, 0x2852b561, 0x797fc0b1,
+    0x1b8d378d, 0x03fb4e30, 0x30b6cc2f, 0x78fdfbe9, 0x44636e22, 0x3ed89e1c, 0x8d596fe8, 0x0af94477,
+    0xa00fdf88, 0x4013f3d5, 0xd7dd8af0, 0xb77ae81f, 0xbdc3630b, 0x3b5922d1, 0xd879a0a2, 0x0443cbe6,
+    0x9b65e288, 0x393c803c, 0x83090a66, 0xd4bf67c1, 0x4b7ee00a, 0xc0f7621a, 0xb17cbbe4, 0x94ad59b3,
+    0x0aad0eef, 0x04452832, 0xad7e9748, 0x435c4da3, 0x2c047e82, 0x0aa0d571, 0x17a332fc, 0xb6faa1e2,
+    0xc2b52f03, 0xe355bf1f, 0x4f5e9a9b, 0xb71a7bea, 0x7cbb9fb6, 0xc1e3eb74, 0x6968af39, 0x82a7a170,
+    0xf6571bdf, 0xc404c733, 0x8d5cb531, 0xdf6b84b8, 0xf629733f, 0x07b27e79, 0xb2a9bc8a, 0x9d1873eb,
+    0x53da506c, 0x6f66a811, 0xf9018662, 0xb2215dba, 0x8ec4a530, 0xf793eea8, 0xd1d8a09f, 0x4f57d1d7,
+    0xa80c8389, 0xf907a6a5, 0xc03ea6d2, 0xb995c4ad, 0x440d4d63, 0x12cbf199, 0x13dcefb4, 0xb36eec5c,
+    0xcc9a676f, 0xfae1cb31, 0xa5587ee4, 0x615b275b, 0xfa2b784d, 0xdf8c143c, 0x76a38d76, 0xb1dbe20a,
+    0xfe309b0c, 0xa51b6afc, 0x997d81ed, 0x5a94134f, 0x0415dd5f, 0x085b63b6, 0x6b90b3bf, 0xf38f9a9a,
+    0x0029a7fa, 0x8be78652, 0xe310be84, 0xa859c1da, 0xf05bfc55, 0xd4f2425a, 0x3657607e, 0x43ea8cc7,
+    0xcd2bed84, 0xc6d15882, 0x01716076, 0x3b93387b, 0x7670e9c8, 0x9cc6c79d, 0x4fced2bc, 0x753a8e32,
+    0x6b3086aa, 0xa3eb1b64, 0x3f7be112, 0xfca166a6, 0x0ce62429, 0x9a3db9b2, 0x47d73d95, 0xfb6188b6,
+    0xd98ddc0f, 0xe5e799dd, 0x48ca74ba, 0xefe2e2bf, 0x9b43bb94, 0x2f562554, 0xcb4b4903, 0xef7ff6d4,
+    0x9e5a6501, 0xd64d5aab, 0xa82a8548, 0xa262f965, 0x06a5c5dd, 0xe49edb4a, 0x2edf4fc6, 0xa0a73a20,
+    0xba5d6f13, 0x857bc31a, 0x353144a4, 0x6fa3f1ae, 0xb515f5af, 0x5f7f6e94, 0xa5020a37, 0xd40d876c,
+    0x481d527a, 0x00998b58, 0x1cf13bfa, 0x440890e3, 0xdebf8679, 0x7b04830e, 0x2be3e59c, 0x73d92e4a,
+    0xd063120f, 0x51d25380, 0xb897fe1f, 0xc71a7447, 0xff4798fe, 0x3ad31d8b, 0x6f1142f9, 0xe01c9da1,
+    0x35694cfb, 0x6727b523, 0x6ecaee67, 0xd8e2950e, 0xdad45ed8, 0x5cb22d6a, 0x51769099, 0x15b9111e,
+    0xfe02c91a, 0x70b0b1a6, 0xff8e2990, 0xdde01b30, 0x3a2bfb5d, 0x84e56a19, 0x5c4ab334, 0xa3ec7134,
+    0x316629c9, 0xf0217b33, 0x1739c101, 0x42beff94, 0x584e7803, 0x08c8f42f, 0x7e7c614d, 0xd9da6575,
+    0x0b0514ef, 0xdda65190, 0xcd3c1b95, 0xe8964170, 0x752929eb, 0xeae1001d, 0xe1687a89, 0xe752564f,
+    0x99df436f, 0xc4d7bee1, 0x79c36c90, 0x060c3969, 0xa0d11a80, 0xf69fc7f6, 0x8fa963ec, 0x6cc22b4d,
+    0xed0c63c1, 0x11bd2000, 0x254943ce, 0x00436255, 0xdbf95e28, 0x0bb85ee5, 0xf8cd9582, 0x2e0e5375,
+    0x87b8f54d, 0xa761bf92, 0x512716bc, 0xbe4e1a10, 0x7c163531, 0xead9b4ff, 0x90a74b86, 0x31db6360,
+    0x4907c690, 0xebde3250, 0xbdd5c075, 0x757116e9, 0xfb7b666b, 0x4c94c1cc, 0x6682c707, 0xd422a791,
+    0x439bded2, 0x160ef024, 0x9084cd10, 0xfde3740e, 0x224c095b, 0xce026c1f, 0x2f29898c, 0x0bbf229a,
+    0x305c7218, 0xba310f5c, 0xf77b2907, 0xa8780f5b, 0x142eb25d, 0x1f86006a, 0x028a4674, 0xcefc7295,
+    0x20b65209, 0xceafa439, 0x56cb4763, 0x235d55d2, 0x64c2e9c1, 0x2863f020, 0x03030c18, 0x657781fe,
+    0x8bc23659, 0x99427efb, 0xd448fdd5, 0x034159c7, 0x9216387b, 0xdeb25d34, 0xee708dde, 0xf58cff79,
+    0xa84337b5, 0x12a2b517, 0x715cdf01, 0x097d5150, 0x5f8a59f9, 0xf84556fa, 0x1dc5343f, 0x7a900ce8,
+    0x0de4edc8, 0x5c1f5457, 0xc395e90b, 0x05b55f46, 0x65ca223c, 0x65d8cb41, 0xf5bcd4d7, 0x81521e90,
+    0x138f07eb, 0x214264d1, 0xc608d7aa, 0x10a3e8a0, 0x4db8691c, 0x0b769f84, 0x0fa8f2e1, 0x397004b8,
+    0xef55c263, 0xb9f774d4, 0x150a4506, 0xf250f911, 0xc4065176, 0x006b3168, 0x25bfbe89, 0x8cf03f4c,
+    0xef859498, 0x0f9f72e9, 0xcc54a0d6, 0xadcd99cf, 0x7bf2156b, 0xe0021e98, 0x6d1a5569, 0xbce64aa4,
+    0x32d468c0, 0xe1342a5c, 0x8cf2247c, 0x2d98d9ae, 0x10db5fc1, 0xbd60fd81, 0xf43bc97c, 0xb05ddf03,
+    0xf01d7c85, 0x8b4933ac, 0xe7cde625, 0xb43827ff, 0x1ac1eb8c, 0xe3bd3c28, 0x401c7bbe, 0xc9077574,
+    0xf7511d2e, 0x68cc69a5, 0x79a9cbaf, 0x9a1ae27c, 0x79c70af7, 0xfc95a5b2, 0x0dd736d5, 0x6007b3b3,
+    0xd4968fee, 0x12ca7d24, 0xdf0fcb4e, 0xaa104adb, 0x8bcf4bb8, 0x410bc0e0, 0x0531bdfe, 0x6e64700f,
+    0x98e6ad81, 0x5305c16a, 0x6e892abc, 0xa53a4f34, 0x396f8c2c, 0x2297cd78, 0x2c265a0f, 0x3505b5f0,
+    0x3d654a0e, 0x398e24b6, 0x44fc9780, 0x3e7c44f1, 0x6eb8b924, 0xfb55a560, 0xa2066d03, 0x43d653f0,
+    0xdf09217d, 0x6fd47ee1, 0xebf51681, 0x89923423, 0x7dc2b58e, 0xeaefec6e, 0x0dc57b57, 0x9396805c,
+    0x2b628504, 0x3055a03f, 0xcc4659fe, 0x8ea7bef7, 0x2a310725, 0x12edf0b4, 0xe6a7d36a, 0x5f88c0f0,
+    0x71781d05, 0xe1d09af6, 0x381e5113, 0xd447805c, 0xff32b94f, 0x77f7efc9, 0x2628497b, 0xe607887a,
+    0x90254bf5, 0x7afac4d2, 0xca06bbdd, 0x5a97adab, 0x84e49c53, 0x7a40f360, 0x852d5fe9, 0xc909af8c,
+    0xa6776431, 0xa6fb0714, 0x8261e893, 0xd3aca1e2, 0x2fc25178, 0x82018b08, 0xa4844d11, 0x563abe28,
+    0x9d8e0ab3, 0xc03712d9, 0x19b30f2e, 0x943fcb8f, 0x63b3df87, 0xe59beade, 0x8e82f2d4, 0x164b5a42,
+    0xf5e4b68c, 0x879b71fb, 0x7c708916, 0xa583a4ee, 0xae48985f, 0x6e1b0505, 0x3170d631, 0xb4f757f6,
+    0x297c3479, 0xf0baa799, 0x2d75c11b, 0x7264b4cc, 0x779b1271, 0xd287cb4b, 0xda5e1053, 0xebc88de8,
+    0x252d0986, 0xd6654369, 0x7d26e175, 0x38db03ad, 0x379e5255, 0x30c4db2f, 0x6eb72301, 0xfbb912bf,
+    0xbe4f8c0b, 0x12eaccfe, 0xe5fbb3e2, 0x0c134a5b, 0x9dc3c701, 0x39c981dd, 0x0784812d, 0x601a3c6e,
+    0xc8dc7038, 0x5b9956b2, 0xec71ec2d, 0x1f5e9044, 0xbb7071de, 0x391f28a2, 0x2bf33bad, 0x4562db43,
+    0x165da5cd, 0xd5222fdc, 0xaccadee4, 0x8e6dcf5b, 0x70aad036, 0x1382b78c, 0x2e859870, 0x7b01793d,
+    0xc78f4477, 0x7c84b6e6, 0xcf4720b9, 0x2da308df, 0x4697316b, 0x03f1fa61, 0xb5a1d4d9, 0xefccf617,
+    0x1124200f, 0xcc77d773, 0x2c8cce39, 0xc69a759a, 0x0d1d1b71, 0xa9021eee, 0xe0b421a6, 0x4bf1947c,
+    0x2ab4467e, 0x678758eb, 0xe0700963, 0x5dbea0f4, 0x019d84db, 0x692d55aa, 0xf9e802ea, 0x3de3e3bf,
+    0xaf50be30, 0xd383baf0, 0xa11cb733, 0x3003307b, 0xbce7946f, 0xfe21c2bf, 0xe50822b7, 0xdc2a6aac,
+    0xf3dea056, 0xbfd53b38, 0xcc470cd5, 0x3bbe6403, 0x83432499, 0xcc186f8a, 0xbb29115d, 0x1f009767,
+    0xb9eb3246, 0xd17e0e2f, 0x2388633a, 0xba572a1b, 0x14ea5234, 0x7ba44db9, 0xe1c03e7d, 0x628e0b0a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000147573952589676412928 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b43, 0x2e47501a,
+    0x00000000,
+    0xac0f502a, 0x98fa0077, 0x21c34773, 0xfc006865, 0x7580e999, 0xb2f4a44e, 0xcf31c33d, 0xbf449ffc,
+    0x26191930, 0x11445a5a, 0x093762c0, 0x56d50569, 0xb3ef3c75, 0x97a5d26b, 0x3455e3b0, 0x5adb5936,
+    0x26799169, 0xbbe272e4, 0x990ef63e, 0x307999e7, 0x10de3372, 0x8936f7b1, 0xd50427e7, 0x3de5ce1d,
+    0x013984e0, 0x0b54edf5, 0x8a100c43, 0x6562e65a, 0x0b95da62, 0xaf60b3ec, 0xc813cc6c, 0x786dcd23,
+    0x9099640a, 0xe5fe6c6d, 0x19df223b, 0x01979e00, 0x50786e1a, 0x4d990ce1, 0x3efec8eb, 0x9208c0a6,
+    0x9ede345a, 0x1007cdbb, 0xfb9cd588, 0xf3b26df6, 0x175236ab, 0xf8c00340, 0xea7aeeb4, 0x8786835b,
+    0x8eef4722, 0x8b12a8b7, 0x0a8bd94e, 0x6b7d8eef, 0xdf3cb9b1, 0xc48eb994, 0x4b6cd599, 0xf9df5ca1,
+    0xb7372034, 0xc258e9a8, 0xdfebecd0, 0xfd57dbd3, 0x8cbc1623, 0x98101045, 0xd3378b14, 0x98fa53f0,
+    0xe84e246f, 0x6c71a24a, 0xed42a517, 0xbff82633, 0x08261e04, 0x3f7f4b62, 0x22ca52e7, 0xd1d3062b,
+    0xb1e94758, 0x49418150, 0x13f82e9f, 0x1de51588, 0x85010161, 0xe17367d8, 0x13dba38a, 0xbb1a1706,
+    0xf1571a6a, 0xbe87d447, 0x32a124e9, 0x384d61b6, 0x07fe2830, 0xcd2a144a, 0xf7bfed3f, 0xc013b22c,
+    0xc3fca7a8, 0xba8f5c01, 0x575a2360, 0xac2875f8, 0x0e9a0fda, 0x27fa3bc7, 0xe5f88bf7, 0xd42bf52e,
+    0x2e45fbde, 0x9d6e9b17, 0x96ba2e07, 0x8a344f0a, 0x76cd485a, 0xe9fed37f, 0xc49450ec, 0xfd66678a,
+    0x5005e7cb, 0x705f9b79, 0x302384ce, 0xf4b62c03, 0x4be7eef0, 0xe4c7a2fa, 0x7ecb1753, 0xc3de734e,
+    0x2998663d, 0x48c3f323, 0x2d550d0b, 0x3c8d661c, 0xfb70b40a, 0x12ae8ffe, 0xc968c186, 0x4510c255,
+    0xf6744ee4, 0x4311fcba, 0x2a4ae978, 0x4d422e07, 0x8080c7de, 0x893e2240, 0x05fa03a2, 0x5d9634e7,
+    0xb91585fd, 0x44eb81f0, 0xdfad65b5, 0x6cd52251, 0xa1ae1e61, 0xfcadc1a5, 0xf64e2cdd, 0x18de4d1e,
+    0x0ff65da0, 0x451e492d, 0xda36a239, 0xa95a823d, 0xfa523752, 0xf427670b, 0x221f1f8b, 0x954847dd,
+    0xa040d549, 0x7dc5ab88, 0x5519df10, 0x0ba6f0e2, 0x27783923, 0xdafe9b54, 0x8b9a8850, 0x54d71197,
+    0xe5df5c44, 0xccecaea3, 0xdbeec3f2, 0x9ea89e82, 0xbd43d555, 0x5000d553, 0xa8df32e6, 0xcc0abb6a,
+    0x293ecd53, 0xbbe3edd0, 0x728ec76f, 0xa7b4ae4e, 0x61b803df, 0x2dc8d93b, 0x8ce04cf7, 0x58dedb6c,
+    0x7561ad02, 0x9feedb64, 0x73b7d3fb, 0xe67e337f, 0x6f75c80c, 0x9cb782fa, 0xc8376041, 0xe1a0dbe5,
+    0x7c24fc68, 0x373ec1cb, 0x74d2a065, 0xcb26edc0, 0xca324950, 0x05e03409, 0xfab8c102, 0xd1e08aab,
+    0x36798dee, 0x85c66184, 0xe55b28bc, 0x7592a2d7, 0x4aa60145, 0x9d816422, 0xf9d09ba7, 0x13887a52,
+    0x7de6abb3, 0xec320f17, 0xdfe6e4d7, 0xc7f390e7, 0xcbbccb5c, 0x22b53fdb, 0x22a6ab63, 0xc803f962,
+    0x89753036, 0xe6108ba0, 0x71a36ef5, 0x356d0045, 0xc8e2796f, 0x0003e895, 0x72a59f75, 0xe58c3f79,
+    0xf7ac39f7, 0x9b519cfa, 0x2be47cc6, 0x7f1b6cfc, 0x87dd25e8, 0x869b38dd, 0x52756ef2, 0xc6bb7330,
+    0xab2e5e40, 0xce1d058c, 0xb8c8f40d, 0x8b765380, 0x56927fbf, 0xeab37fbf, 0x7d6dbd26, 0x07edef53,
+    0x5a881577, 0x24db7c9b, 0x971c2595, 0xc9d96227, 0x5f1de884, 0x3cf2bf66, 0x6782edcd, 0xaeb1e463,
+    0x40e45414, 0xdbdb1ba5, 0xb754bcb3, 0x5d57f648, 0x165197ce, 0xe01cae4e, 0x2f32566b, 0x755f7789,
+    0x4f9985d5, 0xfbf328ec, 0x524dfa56, 0x658cd4fb, 0x294f6d2f, 0x828a28f6, 0xc64e1469, 0x4523e62e,
+    0xae24cb6b, 0x5babad6f, 0x21030d5b, 0x849bfcee, 0x5438011d, 0xfe5decfa, 0x8bd5624c, 0x0b9d85c0,
+    0x7f84b37d, 0xd51e759c, 0xb1fd9b42, 0xe11fb44f, 0x6884a6b1, 0x06fe0e47, 0xef6dd7ba, 0xd039a1b2,
+    0xd907b9db, 0x9da2489b, 0x5c07cd01, 0xfe9f166b, 0x7a0c478e, 0x6f16bbd8, 0x9597a58b, 0xa69af498,
+    0xf2b7192d, 0x79648c57, 0xed98a719, 0x0a43b3f9, 0xb4e7bdb0, 0xf924ebdb, 0x55ccf93e, 0xf1dc85b2,
+    0xab45dc21, 0x85c639a0, 0x37a7ae86, 0xb36c8c1b, 0xd8b9d6fb, 0x8c0efb0b, 0x80e1e33c, 0x1a59fb5a,
+    0xdeaf2557, 0xb0f95737, 0xfcc051b5, 0xd9c157ce, 0x4fc98d3d, 0x456197e5, 0x54766b7a, 0x58e4dfdd,
+    0x9369e243, 0x02e053e5, 0x61496ac1, 0x17f0dbd8, 0xb8022dea, 0x2db43163, 0xffb5e456, 0xa29f8379,
+    0x18efddde, 0x4971e784, 0x87ad9cb7, 0xcfe1fa4e, 0x774840a8, 0xfb635964, 0xe9f07699, 0x2809c057,
+    0x750715af, 0x5eed6035, 0x002ee5df, 0xbb91ba95, 0x37f4abcc, 0xa44c892e, 0x7ce6af6b, 0x60415b36,
+    0xc257294e, 0xba0f74f9, 0xd3f64256, 0x99c69ac5, 0x056d920d, 0xf9f086c5, 0x959724d0, 0xfb2c38f1,
+    0xd4b5c4c0, 0xe14f06d1, 0x03b668b5, 0x8f3b8278, 0x945d38a8, 0x915f2d12, 0x25b009e5, 0x6dbd9000,
+    0xd0293452, 0xcc077816, 0x55b26eda, 0x2c73520b, 0x00c314d2, 0x89a43c6a, 0x12e7373f, 0x6a59363d,
+    0xd391ece0, 0xf4fcfa88, 0xeb3dc060, 0x6c05963a, 0x8a04bdba, 0x9068c1de, 0x1095b89d, 0x6b27622f,
+    0x29cb843f, 0x34ccdf73, 0x200672d5, 0x42a6db51, 0x5527989b, 0x4a6616f0, 0xa6c88f24, 0x18457d01,
+    0x6d382b33, 0xe56498ba, 0xa41b7bf8, 0x689628ee, 0x8b29f589, 0x5806dbb7, 0xbf50df95, 0x1dadbfab,
+    0x26ab9031, 0x7e0b45c0, 0x67519333, 0x4b7dba25, 0x1d402866, 0xc3892df2, 0x94c8ba03, 0x3ff3d19f,
+    0x5894651b, 0x0c858e87, 0x9e6830ca, 0x24647afd, 0xc2af5e0e, 0x9658c66b, 0x3b32db1e, 0xd8d8b043,
+    0x50282882, 0x97b22f6a, 0xa5f88a1b, 0x77f32a23, 0x4bda029d, 0xe484cb48, 0xdf44a5b4, 0xbd795270,
+    0x69269680, 0x38b184cd, 0x42f98f0a, 0x1ec863fa, 0x262e4aa0, 0x824062f1, 0x09e3c4ac, 0x9f8b4389,
+    0x3f4fe28e, 0x3faef551, 0x1bbb973c, 0x4cd2be92, 0x8db1a188, 0xc9de0bb8, 0xeb29460a, 0xced0c794,
+    0xffad0449, 0xb4fac633, 0x4ef1f80c, 0xc0e44a39, 0x90a678f9, 0x5cea0bd3, 0x314975bb, 0xb7965912,
+    0x3b13dfa3, 0xcd7f8c21, 0x7968d33c, 0xb01a5779, 0xa7884238, 0xc81ee248, 0xfe758272, 0xe8eb1733,
+    0x7e808c81, 0x16b0758d, 0x2478d3e5, 0xcaa007df, 0xa999b42e, 0x7ffb7030, 0x3f20543d, 0x092a76e3,
+    0x8b336c31, 0x0e8ad1c1, 0xf04bf84d, 0xef5310e9, 0xd6f16fa7, 0xd5e473f1, 0x23eaae34, 0x11319d3d,
+    0xe3b63071, 0xb3b9aa16, 0x2e2ed5ac, 0x13a95102, 0xb6054be6, 0x727406f6, 0xa37f4ad6, 0x6c3c62d4,
+    0x1a8e4d47, 0x446a4f39, 0xc258f790, 0x4e20f6fc, 0x163d6fd5, 0xd83e7ee3, 0xac8bdd7d, 0xfb227b20,
+    0x3fffe10b, 0xb4dd84fd, 0xa39f9c61, 0x518481a7, 0x1aac7ef6, 0xdecc5a07, 0x0ae576ad, 0x3804a243,
+    0x25657d8d, 0xc8d19d47, 0x3a018a2e, 0xea112725, 0xcfc42534, 0x53e3079f, 0x8ed3a629, 0x3544ee38,
+    0xda73740a, 0x4fa58f32, 0x2562c424, 0xcb5a2c8c, 0x3eccfd98, 0x45af94f8, 0x937c48be, 0xb046dde0,
+    0x40e47667, 0xb2976966, 0x4fafeb6e, 0x1065f779, 0xcc36f9bd, 0x880520be, 0xa885bf46, 0x7f1e86cd,
+    0x8904d3f4, 0x8296cdee, 0xedb45924, 0xc7c2b436, 0xe8f30428, 0xf69a0c4c, 0x6c2574ee, 0xcfbf4f82,
+    0xcabcb5db, 0xc92e6a98, 0x5a8969f6, 0xbd4a904a, 0xa47bad79, 0x5311f6f2, 0x8098fa0f, 0xaf5ee220,
+    0x17bf487d, 0xb3b949e8, 0xe9679caa, 0x15f0d576, 0xf5f467a7, 0x64e2cc1e, 0x1a387f45, 0xea94d218,
+    0x8cc1a72e, 0x76e865dd, 0x70a43a6b, 0x92388d0f, 0x171b97e7, 0x40ac7472, 0xb0ca5046, 0x440e6535,
+    0x36fbbc2f, 0x33eaf80b, 0xd1a63123, 0x74d510fd, 0xa4e200d0, 0xd58d5601, 0x746ab200, 0xc7212379,
+    0xc54b566b, 0x222e075c, 0xe6c046cc, 0xe82d0544, 0x82f94647, 0x0d84acd6, 0x82d004a4, 0x3ec039d9,
+    0x997b152b, 0xed21cea4, 0x609ba04d, 0xe8234e31, 0x6e814245, 0x0e35c1f5, 0xb8f8d759, 0x689d646d,
+    0x721af7f5, 0xf94a02ef, 0x46ed0c3c, 0x9740c910, 0x518dd5af, 0xb73bb4f4, 0x3a817239, 0xb2127e55,
+    0x3769c096, 0x21840ddf, 0x27b69cef, 0xea32557c, 0x3639e1ab, 0xd82f681d, 0xc5f200d6, 0xb8ec77b2,
+    0x0ef05db4, 0x31299524, 0xcee3f811, 0xaa6bb7ee, 0x5d6b7fd4, 0x7114ae4f, 0x3db4eab8, 0xe93ccadf,
+    0xb966fc55, 0xebad5dbd, 0xbb43e006, 0x72b92adb, 0xe6f157c2, 0xcbac0627, 0x03e2f312, 0x811d9952,
+    0xdacfd3b4, 0x7eccd0c7, 0xbfd58146, 0xfed2f8e7, 0x22c5577b, 0x0317089f, 0xb46dd780, 0xae8e056e,
+    0xca6194b5, 0x9e663b20, 0x8f015929, 0x5e4e55eb, 0x49951cf2, 0xb795fff4, 0x1217b15c, 0x1e61b2b7,
+    0x5f913311, 0x59d4a3eb, 0xa357c2bd, 0x953be99b, 0x785ab3b0, 0x49478a98, 0x37c1d959, 0xa4674ede,
+    0x505c1426, 0x82ccb520, 0x014606c3, 0x99cbdd20, 0xce247d48, 0x77410bea, 0xbf95858c, 0x8d6ccc12,
+    0x07bc4fab, 0x377b7eaa, 0x270e05e5, 0xa699b437, 0xb1481b33, 0xd233dffd, 0xd4fcb84c, 0xc8867c39,
+    0xf51c8430, 0x68ae4503, 0xcae52445, 0x5a8c8a38, 0xefdbff82, 0x39744c85, 0x21c6631b, 0x002da3cf,
+    0x33d50e2e, 0x622a6553, 0x8d2f321e, 0x7a654c0a, 0x98ef66d7, 0x2b094255, 0xd45844d0, 0xb38a2fb8,
+    0xed7ac8d2, 0x7f673ca5, 0x55d6c486, 0xf2922d48, 0xf63d3d1b, 0x55346edf, 0xf92873ea, 0x035c0c2c,
+    0x3de6885c, 0x0eb749f7, 0xbc816fdf, 0x642f2944, 0xdc668de2, 0xdd166696, 0x64a03f45, 0xe5568d8d,
+    0xedc1499c, 0x7dde4588, 0x4636b83b, 0xc10e12dd, 0xeb5b358a, 0x78fbc50d, 0x5ff81035, 0xff09471c,
+    0x79bd7179, 0x8c3a24e9, 0x4873da60, 0xb2ccad68, 0x725a10a1, 0x66f75cb4, 0x01564bf5, 0x089a60ca,
+    0x3d0e33d2, 0xffaee118, 0xd2172904, 0x76daaac9, 0x1840441c, 0xbf91474d, 0xedec3652, 0xcac38c6e,
+    0x2c1f7d18, 0xf1aa01fc, 0x875e395f, 0x408a594d, 0xb08d690a, 0x41c3ce9d, 0x4ed75c51, 0x3ad84f03,
+    0x29cb6d2d, 0x8f50ab2d, 0x363bb533, 0x071d769b, 0xe4009bee, 0xc25d7014, 0x2c16de97, 0xdb2bf31b,
+    0xafbdc941, 0x2ac5ebe8, 0xb303ff9d, 0xbfb832d5, 0xf960bf07, 0x91fd2e72, 0x00a0830d, 0x29b9afe4,
+    0x5c1b3f18, 0xa012b50c, 0x9a7f131c, 0x194d591a, 0x00d054f4, 0xb9ab4e02, 0xade48c7f, 0xca55acc4,
+    0xb2a0f9a8, 0x7c64161b, 0xf274e382, 0xa7037d20, 0x3caf175a, 0x01a79da7, 0x11258af7, 0x910a1506,
+    0xe863ca18, 0x40391d7d, 0x39848e65, 0x5eb7406b, 0x6dbafb3f, 0x1f5938af, 0xfe23dc6a, 0x434049e0,
+    0x53c0c6f3, 0x9a0f1441, 0x2912b46c, 0xfd8b748b, 0x98d5d4cc, 0x94fc721a, 0x8e7abdb6, 0x563172cc,
+    0x41c0d051, 0xd1eec233, 0x3955abfe, 0x951dfc94, 0xa4731e9f, 0x691ecc6b, 0x0b34f42f, 0xf33b4bdb,
+    0x5abebfa9, 0xe2bcb5a4, 0xc12313ae, 0xce3f4621, 0x94eb74ac, 0x828ee598, 0x09a6f477, 0xdd629094,
+    0x5c7cc3b6, 0x2f4f1f0a, 0x904c6c20, 0x890ac235, 0xd97ce516, 0xd6ab4eba, 0xa0aa02e7, 0xd735e2a5,
+    0x4eb7881a, 0x150149f3, 0xe1d6dbb2, 0x627da8c9, 0xc6a5643c, 0xe4f764b9, 0xbee9d3bb, 0xb1c5ee37,
+    0xb04799fa, 0x0bf40df2, 0xb2807b99, 0xde571ff8, 0xad6508ef, 0x829a618b, 0xed4b6dde, 0x78981782,
+    0x7e5837f6, 0xb4159ce9, 0xabbdb9b7, 0x87276b6e, 0x91b8458f, 0x9b935202, 0x6d3e5cf4, 0xd5e8d55d,
+    0x5266bbbd, 0x722032db, 0x2ea860bd, 0x37e890c1, 0xfcf22c40, 0x06388ad0, 0xd7255b71, 0x931999bb,
+    0x9db8ee08, 0xcd0479a2, 0x1083752d, 0xd355add6, 0x0ccc7a38, 0xcff7fd3c, 0x1fd8e40f, 0x905fbf75,
+    0x8cee6f78, 0x8adc7864, 0x01757e73, 0x74f20a46, 0xd1410bbd, 0xef8a3d00, 0x74236414, 0x5f801302,
+    0x146de658, 0xae8965cb, 0x73439af1, 0xe11f2c75, 0xfcfde828, 0xff9fdb7a, 0x03c18396, 0x9f733194,
+    0x2f62cafd, 0xdeeba992, 0x2ee76787, 0xe8964361, 0xe602c866, 0x6e16e576, 0xfd9f1249, 0x1952cdd8,
+    0x20be3e8d, 0xa5dbf387, 0x3cb67306, 0xb5692e91, 0x893506c6, 0xcc2a8299, 0xad1841d6, 0x96081759,
+    0xd433f7d7, 0x1221e5cb, 0xeb67d602, 0x1e2e608a, 0x927122cd, 0x95e58fcc, 0x8b34ea3e, 0xf0b0a11c,
+    0xc4ef5719, 0x31fc2d8f, 0x9fefcf01, 0xa928f586, 0x74194264, 0x51182f39, 0x1388ee67, 0xafbd5dc6,
+    0xd460fb4b, 0xd9899376, 0xfda375ac, 0x7cb1846e, 0xf42ade90, 0x0884d3b7, 0xe68d7ede, 0xf09b4d1f,
+    0x88e5dee9, 0xeed55346, 0xb70edd1e, 0x50b4d732, 0xa46aff96, 0xa13d73d2, 0x5ba9a969, 0x647dc60c,
+    0x6806d420, 0x8eb13c40, 0x24501f45, 0xe807e097, 0xd282e620, 0x8eadd683, 0xc60e5eb4, 0x663826ab,
+    0xdc718adc, 0x1a2af741, 0x1a10c740, 0xb717a06a, 0x325ad117, 0xafa948e0, 0xfebaba2e, 0x1e7e9aa7,
+    0xe9cc4ae5, 0x61d498e4, 0x4a63b0d1, 0xa995cc53, 0xff2a61dc, 0x28067089, 0xde84ff99, 0x27daf07a,
+    0xe753b5d0, 0xe531426e, 0x1721e156, 0xb7fc75ee, 0xa3d60c86, 0x8ccc7561, 0xb5e60a2e, 0x7dd7b497,
+    0x87016372, 0x277b5229, 0x5db111c5, 0x8037bce5, 0xdc837ae1, 0x8b820541, 0xf20023c4, 0x151bfdaf,
+    0x1e87d402, 0x08c2ddbf, 0xda0ca019, 0xfe5c9af0, 0xb5124a3c, 0xeeabb038, 0x005200f5, 0x601a14ee,
+    0xc5253757, 0xce8a5345, 0x578694ac, 0x93948c45, 0xfe49f1bf, 0xa1b5484b, 0xd47b8289, 0xc794725f,
+    0x76e40b21, 0xd2fdaacd, 0xd41aa561, 0xf86361cf, 0xe701ccb1, 0x2a5e6027, 0x40256423, 0x494ebb92,
+    0x19331ac4, 0xd268cb92, 0x71711da8, 0x6dedb109, 0xbbb9ad98, 0xcf986b12, 0xd168bb28, 0x7312be2b,
+    0xd48ba28a, 0xdae36377, 0xcfbd01d8, 0x81bdf065, 0x767252e5, 0x7f1b958c, 0xaa9abc45, 0x91c33115,
+    0x1d8efaf5, 0x9d2f58eb, 0x885413d6, 0xbd747076, 0x7e12aa7e, 0x4d3cfb3f, 0x202fbef5, 0xc16f7546,
+    0x341804a2, 0x790811d1, 0x09fba166, 0x0ecf0522, 0xc8864b4d, 0xf2f26f1c, 0x799f3a5d, 0xa11994bc,
+    0x0c4a1de5, 0xfbd92917, 0x708e1c15, 0x0938a518, 0x8750199b, 0xc017b08a, 0x326d6511, 0x8cc5bb2b,
+    0x4eb60c4a, 0x87912e73, 0x85206647, 0x9cb6526a, 0x1afb7183, 0x4aed1658, 0x3523ee1b, 0x86229c7e,
+    0x0503d327, 0xed40ce60, 0xd7c57a02, 0xeef95c5d, 0x4bc44cf4, 0xd61bc2bb, 0xb517bc29, 0x9f945c3c,
+    0x2aebcb96, 0x518481b3, 0xb6f3ce28, 0x60505989, 0xa630d557, 0x9ee73648, 0x895d35d9, 0x3fd63c81,
+    0xdc354ab1, 0xfe29b3e2, 0x065b53bc, 0x98d81719, 0x12b79748, 0x6e977306, 0xfcd1caeb, 0xfdac5d2b,
+    0xac854514, 0x004c7093, 0xd23ca831, 0x92680d47, 0x457a7612, 0x6c93cda1, 0x74244fd0, 0x6167e635,
+    0xd3f19b7b, 0xfdb5c064, 0xf3be8d9a, 0xd7d67387, 0xe28ad914, 0xf7021b80, 0x7e6b919d, 0xf5101a9e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000073786976294838206464 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da1, 0x9723a80c,
+    0x00000000,
+    0xd1dfe063, 0x2824fbf0, 0xf033e2c5, 0xf0ee15d3, 0xc795f64f, 0x5a0de366, 0x910f5b10, 0xc461dc45,
+    0xfc73548b, 0x818501bf, 0xcf780254, 0x4329b026, 0xea428ccb, 0x2dfb6e2d, 0xc5508701, 0x426fba02,
+    0x4714cd6b, 0x21b405be, 0xc4217df0, 0x40f759ed, 0x41cb9854, 0x80e01929, 0xf2fc00b8, 0x2a7cb6a3,
+    0x1d8c6bb8, 0xb5a1bfa1, 0xf3343b82, 0xb1a6b944, 0xb423363b, 0xe043e2a8, 0x096600c6, 0xa2337e38,
+    0xb6d0d57b, 0xe9fe7d3b, 0x6ffbf5ad, 0xe1b0279e, 0xe33df257, 0x9d417f10, 0xabca8643, 0x7a9072a3,
+    0x9319e58b, 0x84178dd1, 0x0dcfa410, 0x43e0aa8f, 0xb80caaf1, 0x6dad4d62, 0xde5a39f1, 0x6c641542,
+    0xa345a456, 0xad0af356, 0x8c27e6a6, 0x262aa005, 0x74c64071, 0xa678cfb6, 0x6a206dc2, 0x025b65ad,
+    0x63953e16, 0xd8f7e80b, 0x2ed5e2ac, 0xd44edea1, 0x39dfd685, 0x90585bb4, 0xb7f5d49f, 0xf95c8883,
+    0x0d00b0f8, 0xbd76591d, 0x14d1ab3c, 0x72fa5874, 0x728bfeec, 0xf76c6ba2, 0x9966e590, 0x4b602a0a,
+    0x47f4b108, 0xbeec93e0, 0xfaff7fb1, 0xd835a4c1, 0x5af0243d, 0xae184edc, 0xaaf39f53, 0x3c29a79f,
+    0x4c82033e, 0x9aae6e4a, 0x6e44dad4, 0x7463f722, 0x011ce194, 0xdab0d399, 0xb4dd3968, 0x12902e5d,
+    0x57ca1d18, 0x8e4ec15c, 0xbe1e1e2c, 0x1f90c8b0, 0x25d5f379, 0xd1fbcf8f, 0x7f1f7bee, 0x2100ef7a,
+    0xf9d12624, 0xcaf74f4f, 0x23637d39, 0xc0fa04bd, 0x85965fb0, 0x83ac6f2e, 0xf76d0dca, 0x66f57660,
+    0xdcd3f131, 0x6d1c8c37, 0x70aeb060, 0xd30547ec, 0xf7d0b9f5, 0x33fcb2c9, 0x1d8f3b0b, 0xfb669537,
+    0xb6d289ba, 0x9041727b, 0x9445432f, 0xc40c9787, 0x534aad6e, 0x121468cf, 0x90ff1f1e, 0x574e8146,
+    0x347a25a6, 0xbcd151a0, 0x19c023df, 0xe90bfbf6, 0xe30a2d68, 0x807f66d1, 0x74821b99, 0x14ca033f,
+    0x18144663, 0x298214da, 0xce282924, 0xf934ec7e, 0x02142435, 0x862ffdb1, 0xcae49283, 0x1f724dac,
+    0x1d631ca1, 0xcf022ee8, 0x15e49d83, 0xb3c83cd9, 0x695a93a4, 0xc6f5d7a2, 0x8af1b688, 0x3dcd075c,
+    0x3d867cb4, 0xd80ba72b, 0x9e5a28c5, 0x7ddae852, 0x1a3535c8, 0xc9804598, 0xf7dbc760, 0x10797449,
+    0x392d310b, 0x771c19fb, 0xa757c09f, 0x9a33b719, 0xac1e2c84, 0x44e98630, 0xa0d867de, 0x27f244f1,
+    0x22367f19, 0x2e7fd866, 0x6d8251f7, 0x6d521423, 0x7b53652b, 0x52c068a3, 0x3877e1e4, 0xfa9917c0,
+    0x7ea86bc1, 0xcb457b50, 0x3b78f6e4, 0xbc55951a, 0xb33cc1d7, 0x27c1e6fd, 0x6022b679, 0xbd8f6c5e,
+    0xf79f2725, 0xc92eadd7, 0xaf47107d, 0x9e2ab442, 0x2776f9d5, 0xc6aa9748, 0xb498a45b, 0x495ba608,
+    0x4144f0c9, 0x5dc22b2c, 0x61dcffe3, 0x15249e67, 0x311a88f3, 0x511e6308, 0xec2151ea, 0x09f43d45,
+    0xe6f1e639, 0x9aa9522d, 0xfe9952d1, 0x65ce6c4e, 0x098772b8, 0x9d1347cc, 0x35b88b4c, 0xecf70309,
+    0x23c91bd9, 0xbd8a33a4, 0x7107973a, 0x7eeca6e6, 0x2a2f3553, 0x5b3cd706, 0xf48d33eb, 0x05a650a8,
+    0xe905fc3a, 0x5a4a9947, 0x3f7e70d5, 0xa95346d2, 0x77b4d36a, 0x50eba799, 0x1c190c44, 0x3c1c4ef6,
+    0x26b8df58, 0x534ce5bf, 0x608dd369, 0x89d95928, 0xa0ac96ab, 0x79915235, 0xd299e1a5, 0xbd0b7ea8,
+    0x75b4e4c3, 0xc660ea69, 0xcf4575d8, 0xfe7d5550, 0x7f86fd63, 0x95807133, 0xc37e2555, 0x7219e0f8,
+    0x2ae1f535, 0xfddb203f, 0xf75017e7, 0x48b2d3d6, 0xd703db6f, 0x436a78ee, 0xa7ced54c, 0x00c7737c,
+    0x6084e98d, 0x50cd96a6, 0x6ea5f1f7, 0xb8902963, 0x9955b2d7, 0xf88883e9, 0x65ee6d5d, 0xb51f7159,
+    0xd34c1003, 0x6e2b12f7, 0x43f92792, 0xbaea21a4, 0x56a9b385, 0x96a5453d, 0xfb8cfd5c, 0x4a2a1c8e,
+    0xa108ea9e, 0xd2ac4e64, 0x5da36de2, 0xb7e172ea, 0xb7de2f7d, 0x41c5506d, 0x3a4fe167, 0x3775a48b,
+    0x8d3a4d7e, 0x1ff47937, 0x39377a0e, 0x404ea6e0, 0xd6d7f7f9, 0x5dec0a5d, 0x94c6e9c0, 0x99658ec0,
+    0x284802a2, 0x79bc4ce9, 0x7ca84535, 0x9b8479c1, 0x36fbb904, 0x510d43e4, 0x63d57377, 0xe97e9103,
+    0xad3a13df, 0xf8f3a8bc, 0xe2820e05, 0xbad4a231, 0x4de1330e, 0x2a165135, 0xe404ddd6, 0x3a60f284,
+    0x28b5f320, 0xf7a65e59, 0xaa864205, 0x97957ded, 0x5a9ac8d5, 0x08fa7416, 0x6065dbac, 0x5983a1e9,
+    0x9d57012e, 0xeb61c5d7, 0xef39fbb9, 0x825e2bc6, 0x4affa9fe, 0x68749612, 0xd314f2bf, 0x0f687bb3,
+    0xaf5456fd, 0xa053ad96, 0xb79a07d3, 0x57fad6b9, 0x270bf6a0, 0x624b519d, 0x2aeea706, 0x83cc63a8,
+    0x8bfa3166, 0xa0b086d8, 0x77764eb6, 0x1af2f9ec, 0x01e520ae, 0xe2dad456, 0x09b5af2a, 0xad450cd5,
+    0x4325ef12, 0x15cf67eb, 0x22da7fd3, 0x96451c69, 0x7867f162, 0x366a81aa, 0xf78ed100, 0xaababf33,
+    0xb5ae9e2d, 0xadc5eef6, 0x7c9dd87a, 0x9d2f7bbd, 0x4c17f84a, 0x48fab748, 0x30e89992, 0x04a15db4,
+    0x061e9a26, 0x6243597f, 0x2c226fbf, 0x66e0416d, 0x8d1d1332, 0x4701ded5, 0xdb57581c, 0x133716b5,
+    0xf7f25490, 0x798281fe, 0xa7161f2b, 0x904fa5c3, 0x963c7156, 0xab4bf0f5, 0x6a5d82bc, 0x017b892a,
+    0x2daf777b, 0xeacfa9a2, 0x6c7f3aba, 0xea4d26ce, 0x1283c5bc, 0xe4b3a67d, 0x1dd0e08f, 0xd3ca36c9,
+    0x94f78a29, 0x3e3e77bb, 0xd5b07758, 0xad34dc27, 0x6f2ecdff, 0x3c7f2e74, 0x64b30a00, 0xd1b91754,
+    0xd320c7b3, 0x91e9a066, 0x5ab3c114, 0x38a0828c, 0x5a694fad, 0x2b7f215c, 0x4916aa2b, 0x9392d6ae,
+    0x3e3a7e2b, 0x2c5ed001, 0x6733764d, 0x29ae5e34, 0x1b7dbecf, 0xbd14a9eb, 0xfa4be6f6, 0x11c290b5,
+    0xe5eca4c5, 0x4c71eb00, 0x4145480a, 0x922950d8, 0xd57625dc, 0x99d07101, 0xcf140787, 0xba1535b8,
+    0x7fcb5f13, 0xadebb858, 0xa629e4bc, 0x3d475ddb, 0xc436a623, 0xac593b87, 0x33eea0dc, 0x01b30bd6,
+    0x8a826e99, 0xaf4ea811, 0xd4f89700, 0xf063462e, 0x8c159d30, 0x1fab6bdc, 0xf5d0eacf, 0xabe59886,
+    0xd238b952, 0xd8676cd6, 0xf7b1daa1, 0xb1342f26, 0x930b15bb, 0xb6eed5ca, 0x6fa6be89, 0xa185fe55,
+    0xbef60708, 0xf0c22596, 0xaceb6794, 0xed029098, 0xa2198031, 0xc504b3a1, 0xe9f69ac6, 0xc41fec48,
+    0x38460495, 0xc87367de, 0x6d0d83ee, 0xfbcc23db, 0x6b43ce05, 0xa0d97b63, 0x4eb91b4a, 0x0132c417,
+    0x09fb6c95, 0xed97c036, 0x8bf33ba3, 0x912b6ba6, 0x54e0e9c3, 0x6180cbe3, 0x5124b5a4, 0x3b2a2e67,
+    0xe5bb9c79, 0x6793c4fb, 0x2359ac6e, 0xdf1d4a0f, 0x13313f0b, 0xa14c275a, 0x407dfb6c, 0xf4bdfe5e,
+    0x7f12e7cc, 0x730d0e95, 0x0b5e2e5d, 0xe38db278, 0x06ff21b7, 0x9f57ecc4, 0xd8cf829d, 0x81a8625b,
+    0x79d7dc03, 0xc9016e0b, 0x710d518f, 0x2b2be2a4, 0x2f58c529, 0x98207ca4, 0xc9219cd3, 0x7b24fb10,
+    0xadfb66fe, 0x0ca084fd, 0x4aa39fea, 0x3c36b1af, 0xb218862f, 0x4eb606ba, 0xf995d393, 0x8037a0f6,
+    0x1d142d74, 0x67781d54, 0x993c52f2, 0x9a22a240, 0xcb98cca2, 0x3319ecd9, 0x61bf77e2, 0x26e9f007,
+    0x632adfc8, 0x4cc44bd2, 0x96fefc9a, 0xbeb097ea, 0x3ceaf49e, 0x6baa8f9c, 0x8f83d517, 0xb27491bb,
+    0xeade8c15, 0x016202b2, 0x1a16efbe, 0x82af398a, 0x2fe44a30, 0xa7538c01, 0xeb5798ed, 0x3d063bc5,
+    0xfaf64dab, 0xbb9ffd3e, 0x149033af, 0xcd465c87, 0xde6b6d8e, 0x3b904c0c, 0x0abf6a7a, 0xa9ea4614,
+    0x82005014, 0x70412129, 0x683d296f, 0xa171602d, 0x4157172e, 0x11460e95, 0x5d566e82, 0x9e917b53,
+    0x6e97dea8, 0xb841fc68, 0xd49b0bef, 0x7f80c532, 0x03e02565, 0x47940468, 0xeb2e3219, 0x33b5b07b,
+    0xc01abcf4, 0x5413e7f3, 0x0e385ea5, 0x4b0eb3e6, 0x1bc71136, 0x79d7b877, 0xec0a1c67, 0x303e145e,
+    0x8559d4b8, 0x91d5e73b, 0x1e18fe0a, 0x7db3f35d, 0x5436c86c, 0x1f3e7428, 0xaccf8bdb, 0x07012001,
+    0x999d8464, 0x77d2a02b, 0x0b795b14, 0xf072ebce, 0xd0b9d4a8, 0xcf3ca1dc, 0x96b54133, 0x982f2d48,
+    0x980a04d4, 0xdb6133c2, 0xf2117083, 0x3928f5a5, 0xeab15ed4, 0x6898fbf1, 0x51a21960, 0xb08560d1,
+    0x13806500, 0x05a2cda2, 0xb0da9a9b, 0xeb298dc6, 0x2817bcc9, 0xbd5fffca, 0x5707c9d5, 0x6fa1cd5e,
+    0xb2efcaa8, 0x8b82876d, 0x36ab31a6, 0x461ab9e1, 0x20a39dc6, 0xed16609d, 0xaa50f12e, 0x8563c166,
+    0xb9150642, 0xfdcfaabc, 0x0faf0e0f, 0x0f0ef285, 0x98c820e0, 0x203813fc, 0x6e63bedf, 0xe01e8949,
+    0x9847accf, 0x2ffe7a3c, 0x242eec22, 0x91bfa8f6, 0xebf7d7c4, 0x215718e0, 0x528e6899, 0xb4642eee,
+    0xe14396ff, 0xac02df1c, 0xb64c8c01, 0x8e65cc88, 0xba8b9720, 0x92a46c8e, 0x07c66d00, 0x6c3a29dc,
+    0x694c8c70, 0x9f121166, 0x843f2abb, 0x74cabf1d, 0xf8a8b305, 0x0e6994fb, 0x7ca67791, 0x5ab80ab3,
+    0xfa18efc5, 0xde6f31a4, 0xaf3f6625, 0xb706fdd5, 0x79cad5cc, 0x6e81aba0, 0xda5e868e, 0x2b4ff324,
+    0x02339590, 0x75f4482c, 0xbd56ef60, 0x001988be, 0x05a59793, 0x7271a24a, 0xfe26bdd1, 0xede0dda2,
+    0x80371336, 0x9266d0e0, 0xd7823f78, 0x3d0c0388, 0x29594458, 0xde73fbeb, 0xa252e9fe, 0x6dcc587e,
+    0x557d160f, 0xa5861aa3, 0x5c387591, 0x6534bd32, 0x5517a286, 0xb797b86c, 0x0cdd6580, 0xa95800e5,
+    0x6d7b87c4, 0x55dff495, 0xf2af29a0, 0x381d8448, 0x33fae68d, 0x0e70d994, 0x88b4d14e, 0xf256396e,
+    0x92e8ce19, 0x980f03a0, 0x460e85f9, 0x867fe024, 0xb5674129, 0x172b45be, 0xc3b5fda3, 0x69bc1851,
+    0x2817cfa6, 0xf3e5dd04, 0x0bac1413, 0x31cd784b, 0xded61c8e, 0x8e1c0829, 0xa32efa9f, 0xaaec380f,
+    0xc0fb93aa, 0x1f900ec6, 0xbf6c72a0, 0xb2c646ab, 0x85542d23, 0xf71d38d7, 0x3bd02603, 0x60a62707,
+    0x75fc92dc, 0x0609a59c, 0xfd319559, 0xae9c0204, 0xd264199a, 0x0d71e4d4, 0x9edae3f5, 0x066ad599,
+    0x13ba5840, 0x60894176, 0x4c3f1bdf, 0xa3b13235, 0x2a64ef6c, 0x8b6a5dc6, 0x61fa6a7d, 0x0f7af84d,
+    0x217bfbd8, 0xed9f833e, 0x476876ce, 0x77bbc2db, 0xe8172871, 0x94586367, 0xa0da244f, 0x522736eb,
+    0xb3113974, 0x8526ca66, 0xcb4a703c, 0xec3d4f26, 0xb723e644, 0x698df1aa, 0x3e6d7ae0, 0x30e0f81d,
+    0x8eb4d082, 0x62818029, 0xa04b49e5, 0xf915331a, 0x34660d5b, 0x01a8600d, 0xfc77ced3, 0xc91737e5,
+    0xddf9adbb, 0x13513280, 0x4c43ce75, 0xebff92b0, 0xe9ce6e01, 0xa42a5813, 0x43552283, 0xe23eb296,
+    0x4724afc4, 0x2eafc4b8, 0x83082ef0, 0x730ec391, 0xb347d3ec, 0xc858260e, 0xd6e7c6e5, 0xddde0baa,
+    0x8377f9f4, 0xcd1c42b2, 0xff3b1866, 0x28f6b22f, 0x439ffdd7, 0x4e24f12e, 0x6b034de8, 0x88376a3d,
+    0x97256419, 0x0affdb7e, 0xe53d6f86, 0x3db9b1d7, 0x36f9b51f, 0xed98987a, 0x81fc13ca, 0x7d922f32,
+    0x5ebd8ea2, 0x258cef83, 0x55c3d27f, 0x3e464f14, 0xecbfcbd5, 0x3c3433c2, 0xd25c7c8e, 0x18a38f8d,
+    0x53a73884, 0x5ed63c37, 0xcff2573d, 0xb4556e0a, 0x057295aa, 0x6336c6c0, 0x3b61cea3, 0xb0a79fd4,
+    0x9351460d, 0xeece4236, 0x49e76209, 0xbe3ab320, 0xbc09423f, 0xaf4042ea, 0x1d5ab7d7, 0xac0b1362,
+    0x0b4907ef, 0xbd17a3a0, 0xa5b96afe, 0xe0d33baa, 0xd7ab493c, 0x0b96e089, 0xaed70791, 0x8a28194b,
+    0x14b38ddf, 0xa55e846b, 0xe55a33f5, 0xa63e70e0, 0x362ecb3b, 0x2f0d3b4d, 0xb4df6463, 0xf80df3ee,
+    0x11934c7e, 0x1779557c, 0x3e7d6ed3, 0x9abe83fa, 0xf477b93d, 0x86753b52, 0xa747d60f, 0x032a0d39,
+    0xbfa08621, 0x431adaba, 0x38e7f995, 0x77306523, 0x5f28ee90, 0xd54fb0fb, 0x736a1880, 0xf37b0b3c,
+    0xb17ec643, 0x4e197af6, 0x9ae1915e, 0xc6d34f1b, 0xfd62312b, 0x89334366, 0xcfca1a50, 0xa8eae7ae,
+    0xb9f01012, 0x11ba87b2, 0x6350048e, 0x3b3484d2, 0x0ee6c3f9, 0x0bcaa7d2, 0x63f3c30f, 0x9a696176,
+    0x1b66b814, 0x98a6e61c, 0x9a6b7e5d, 0x9e0f275b, 0x4f2f320b, 0xc8fcc93b, 0xec442d10, 0x80a81f86,
+    0x5a4369e2, 0x8998bca2, 0x8b47d306, 0xfb49700f, 0x81addf02, 0xff4c8b83, 0x63aba473, 0x4456ecce,
+    0x8355b84b, 0x6676cb65, 0xb6a42893, 0xa220105b, 0xf5f902bb, 0x62028895, 0x99e197a1, 0xdef75738,
+    0x2cb534f8, 0xee4f6f33, 0x06817724, 0xe354c82e, 0xa5ce8d3f, 0x6d54412d, 0xbc1e7d2a, 0xe49a6836,
+    0x5e695677, 0x17442190, 0x94ba67a8, 0x4d10b555, 0x0d36fe45, 0x628a52ac, 0x5cf0b97d, 0xf1869de8,
+    0x307447b8, 0x1836cb46, 0x2e2153ea, 0xf598628f, 0x5198013d, 0x3850f99c, 0xc917ea17, 0x05bcd927,
+    0x2d419133, 0xff699336, 0xf56e4986, 0xd70d5756, 0x83f475d6, 0x69478839, 0x4e335ef4, 0x4a8d2911,
+    0xd8d26eed, 0x4c08e4c7, 0xe42a16b8, 0xa7609f6e, 0xe3c96a9f, 0x4059dd0b, 0xf0d9f6ab, 0xff566554,
+    0x77b05f35, 0xb9fd1570, 0x7dddbd3c, 0xc9227e55, 0x6ace0f0d, 0x43fe9923, 0xd00bd493, 0xa00f064a,
+    0xa1b8c850, 0x40978536, 0x9cd75d6b, 0xb8d019fb, 0xb1bc9aa5, 0x13f40181, 0xe46be421, 0x73971bd7,
+    0x7b59de28, 0x6ba241c0, 0x50585e00, 0x72189083, 0xb5ad3784, 0xcb26c2bd, 0x33fbf1b9, 0x6ba908ff,
+    0x762e134d, 0xa49dae2e, 0x4d713f7f, 0x51210346, 0xa1d1ceea, 0xa8414007, 0x9b0647c8, 0xc411de33,
+    0x4a6b2b50, 0x7e559333, 0x7f7241f7, 0x41c51cac, 0x89cd8036, 0x6fd7f5a4, 0x72e308df, 0xe327a01c,
+    0x397eb71e, 0x9aeb362a, 0xb6f72642, 0xf23fdd45, 0xbb010e78, 0xc87853e1, 0x2b8cc410, 0xe358c1ed,
+    0x86943b0e, 0x8f3cd42e, 0x07f44043, 0x2a49129b, 0x511a8c72, 0xcd2c459a, 0x1ff3bd26, 0x9d63f956,
+    0xdcb2d0ed, 0xa0af1c7a, 0x5faa2ff6, 0xbb011fd8, 0x52a41698, 0x68901ac4, 0x5287b0e7, 0x34b6e92a,
+    0xbe1970c2, 0xa76a14da, 0xefd14ecb, 0x3337a255, 0x209478cb, 0xe2e04623, 0x1812181b, 0x9a22b817,
+    0x80e8e86a, 0x8f7e9b0e, 0x272b3b6d, 0xd07747d8, 0xe9b7311e, 0xefa245dc, 0x922aa093, 0x85d326d6,
+    0xc1afc541, 0x214d81fe, 0x5a9c99e8, 0x543b203b, 0xdc88fe2b, 0xfbf23b81, 0xb3d81bad, 0x40ce86fb,
+    0x6548c0d0, 0x29f2f6e9, 0xae70bac9, 0xaaa77bf5, 0xf98181cb, 0x0101dee8, 0xf466861c, 0xdd9106f1,
+    0xc45eb8d0, 0xbad21694, 0x0042fbc5, 0x89f0a546, 0x1f374161, 0x704923ba, 0xd61fca31, 0x86f338bd,
+    0x25bed95f, 0x6fb1b89e, 0xa379877b, 0xa3794aba, 0xdd224121, 0xc431ef95, 0xf857df19, 0x24fb30b3,
+    0x97f12908, 0x313d8d62, 0xf7106c07, 0xd49ace7e, 0x9540517b, 0xd688fadf, 0x794cfffe, 0x3bb6daa3,
+    0x8a3e7d33, 0x09743bae, 0xd96a3945, 0xef7907ff, 0xebdd3f3a, 0x827b8981, 0x31c58db6, 0x2ba3b2bf,
+    0x7d37c3a9, 0xd552d0ca, 0xf2a9b872, 0x56efa34d, 0xf27b9f46, 0x48ee3974, 0x5f9fc3b4, 0x354ecee6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000036893488147419103232 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ed0, 0xcb91d405,
+    0x00000000,
+    0xe7caf151, 0xb24752eb, 0xc48de24d, 0xc07d8061, 0x90c8ccdc, 0x49bb2d11, 0xd42e0489, 0x70bc78b8,
+    0x3c9d40a5, 0xeeec6b59, 0x142b030f, 0x6ae5ac54, 0xcd42f294, 0x8ea5c0a5, 0x6af3aa09, 0x29d799fc,
+    0x7aea4be8, 0xa12fdea5, 0x3a8ec7c1, 0x3c22925f, 0x8f00a49b, 0x8062a97e, 0xc50803f3, 0xf572537f,
+    0xa887094b, 0x190c74e3, 0x7a451820, 0x948a7b22, 0xfe79eaf3, 0x65e0e733, 0x13bfd162, 0x1f90d1e3,
+    0x395982b9, 0x56660348, 0x3ddb8cbf, 0x0627ce23, 0x1bacfa52, 0xec722b33, 0xe9f2f483, 0xbf1381b1,
+    0xea4b3817, 0x35f9d06e, 0xfb21ae7a, 0xd7fd86e4, 0xe678a541, 0x23fc484e, 0xf3ab1d3f, 0x82a9b6cc,
+    0xdfb612db, 0x0d8e45c1, 0x93f82119, 0xb4311c11, 0x9140e528, 0xf593301c, 0xba5bcf24, 0x57836bae,
+    0xaa0a083d, 0xff5bf929, 0x9318e9a5, 0x350acfad, 0x182892b3, 0x149cfeb0, 0x2c6ec258, 0xf3509abe,
+    0x30a56ad1, 0x8a186043, 0x0bceceb9, 0x20d7ce3a, 0x969affa2, 0xdde0b090, 0xc870915b, 0x9e0bb72e,
+    0xaf20715f, 0xfbeb5c95, 0xa141e617, 0xed8327ce, 0xabe0880c, 0xfd52b865, 0x47869d64, 0xf41e52a1,
+    0xfbc2d1d2, 0xcf3b113a, 0x14db436a, 0xbc886e98, 0xef388f1a, 0x6410b047, 0x2a2a880a, 0xf8b8a51c,
+    0x4f00fa12, 0xf9b4ff5b, 0x946ec457, 0xea7c3118, 0x10e3c25f, 0x568fc3a2, 0xbabac82e, 0xa7ed6840,
+    0xa1c5df35, 0x509d7331, 0xb1dfde95, 0xc404b083, 0x3d1eb27c, 0xe2144fb1, 0xa0a20ffe, 0x05524726,
+    0x4d6e2853, 0x7e709e44, 0xf782f522, 0x41987f26, 0xb6e165c5, 0x79f07ec0, 0x0e52d25c, 0x6b4a93fe,
+    0xf544326a, 0xb28264b8, 0xf6ae5d23, 0x8d4ddaa6, 0xa10ec824, 0x928b03dc, 0xf2b308aa, 0xe184f222,
+    0x9730b60d, 0x2ec6c3fd, 0x94ff0247, 0x643a0c62, 0xb5e1df3e, 0x24c2a0b8, 0xc9f983d5, 0x9a370139,
+    0x1ff9099a, 0x054e297f, 0x387b30f8, 0xebffcfb8, 0xf2f8f0aa, 0x3ebcecc7, 0x4fc4eec5, 0x69908839,
+    0xaccc2976, 0x7c69784d, 0xca592ab3, 0x68a3e00e, 0x47878216, 0x8afbd15c, 0xae9aabea, 0xe00a60af,
+    0x51f71a3f, 0x7aebaea7, 0xa216b8b1, 0x0b364756, 0x9db71178, 0x0660d37d, 0xedd20602, 0x5225d5a9,
+    0x658a4f88, 0xca3ffb78, 0x54f1a7fc, 0x2b727ae7, 0xe0aa2ac4, 0x23ae2746, 0xafd1c4ce, 0x1cea0db2,
+    0xc120e900, 0x369d0104, 0xf38babf7, 0xad09895b, 0x1f38356a, 0x23ccb0cc, 0xf9541a8c, 0x7ab4b768,
+    0x78916613, 0xa3cf7765, 0xf311967e, 0x5c6d7d72, 0xd7bb01a4, 0xa5159a9c, 0xa42e5ac6, 0xda2f98aa,
+    0xa834903d, 0x429c2aba, 0x1b563a89, 0x8992cc02, 0x1f56d855, 0xdcc8efdc, 0xab562edf, 0xae4d6cfa,
+    0x3a3d9ac8, 0xbf676170, 0x79fe70ed, 0x40926910, 0x3ca8cb82, 0xd2657c1c, 0xa2d2930f, 0x08bdadfb,
+    0xef913153, 0xf30c344f, 0x051e4024, 0x2ce38d45, 0x390ea50b, 0x6a3f6828, 0x454527e6, 0x82924d56,
+    0x3c81594f, 0x525ff249, 0x8e3f9004, 0x22e92209, 0x43530afe, 0x35181ff9, 0x231b9a1f, 0xaadf6abe,
+    0xa46f4f33, 0x4091830f, 0x0007f3ba, 0x8f9ef58c, 0x002b57f7, 0xfbb56e1d, 0x7051204e, 0x7e9a8cc2,
+    0x29f0aa76, 0xb56f99a5, 0x2c273a63, 0x94a9dafe, 0x7243a0a6, 0xf12e0ab3, 0x766d3712, 0x170a83e3,
+    0x8b0c03a1, 0x195ee756, 0xcdd7f5bc, 0x4ea1a15e, 0xb3b9cc6e, 0xa245c452, 0xa613834b, 0xcbea3481,
+    0x0aac907b, 0xd210abe9, 0x26238b6b, 0xa2a29d7b, 0x77acf379, 0x52058bca, 0xd3667a82, 0xed8fe6ac,
+    0x70c7ec04, 0xb440f1b6, 0x4a0a79ec, 0x9dab7ea8, 0x76bce8e2, 0xbc44ed1f, 0xffbad22a, 0x194fb799,
+    0x23c53d24, 0x432fe8aa, 0xdd78bb36, 0x8a81e7cb, 0xbe3de295, 0x116c8458, 0x4d27665f, 0x200f7b3b,
+    0xc066297b, 0x4cde2728, 0x3d003864, 0xc345784c, 0x4405b19c, 0x280145a1, 0xd8ba1bb1, 0x5131b679,
+    0x2d397e40, 0x28c72c7c, 0x86f2d060, 0x72c82bee, 0xdcd316df, 0x14358cb6, 0xfa768775, 0x7e7331bf,
+    0x36b3a6c0, 0x87e16005, 0xae8c585b, 0xa966d083, 0x2dbafd6a, 0x054816ed, 0xbe16f652, 0x4e9d1097,
+    0x0d86054a, 0x7b6fa766, 0xf2b4275c, 0xf08ef6f1, 0xe03a6a1c, 0x786c4cc3, 0x25a3368d, 0x57929538,
+    0xc74bd872, 0xb217cab4, 0x3a036faf, 0xeb0f1637, 0xeacb3f85, 0xc0b0dbea, 0x2f750427, 0x2e325b1d,
+    0x93ca87de, 0x0cad2a65, 0xc130e90f, 0x650ee1d7, 0x8a89e4e3, 0x7f8b17ef, 0xedc54747, 0xf20df03c,
+    0x61b1a72c, 0x57036015, 0x58f1a3f9, 0x0e6f312f, 0x6d4159f0, 0x02b9d2ea, 0xea8df0ad, 0x6f4e0b5a,
+    0x6add754b, 0x345628ae, 0x5cf50daa, 0xcc8fed41, 0x83aaaa00, 0xa199f093, 0x8ee4aedf, 0xdc08bdc0,
+    0xeca1bda3, 0xc25765d4, 0xece60328, 0x1a8c7e4c, 0xf0d16e6e, 0x569abd4f, 0xa6236d91, 0xc8af0cc2,
+    0x2689e204, 0x003cdc95, 0xcbbb05f5, 0x9bb515d7, 0xed486d6f, 0xbb1d85ce, 0x7a4ec6df, 0x4eb26d83,
+    0xb0c466aa, 0xda4f14f1, 0x9f0a8ffb, 0xf8b43879, 0x92ef6f50, 0x425ed27e, 0xa6b0b378, 0xeee4375d,
+    0x6a8b73b8, 0xbdc1df07, 0x87cdfc67, 0xcb019d45, 0x4d6e2823, 0xd36a26e5, 0x93791706, 0x9d34d82d,
+    0x94c2b431, 0xe25794dc, 0x071eb6be, 0x033aa5ee, 0xb9cddfc2, 0x6c3cd39a, 0xfb526ae1, 0x74882ef0,
+    0x20835463, 0xf03e687a, 0x15736ba3, 0x11fbd18a, 0x5ba27515, 0x4c7376da, 0x7f7d2758, 0x1d72a5ce,
+    0x50b53ddd, 0xbbc89b63, 0x7e6853bd, 0x65da679c, 0x61eb3188, 0x8497b3f4, 0x1b038220, 0xa5a04380,
+    0x7c3bc225, 0x1f5d719e, 0xa7192630, 0x5ca1b888, 0xdc52e115, 0xce755ca3, 0xcaef75a3, 0xd81b0e88,
+    0x227e538b, 0x3aeef463, 0xeaab7449, 0x039cda74, 0xd08373be, 0x69135d0e, 0x99f33be8, 0xff016245,
+    0x4f9b25c6, 0xb2ba32c0, 0x4ac9ee95, 0xd3a85a33, 0xe9a9cf26, 0x1196793e, 0x762c3a5a, 0x46d0cec5,
+    0x3778fdfa, 0x363ec674, 0x5a13ef65, 0x40f394e4, 0x186715c5, 0x083c36a2, 0x83a8b835, 0x45a1afa7,
+    0x11fbabac, 0xe105b5fd, 0x5b4f11ee, 0xefec4ade, 0xca7463ec, 0xe220eb7c, 0x2cb81f8c, 0x8c48ec23,
+    0x2c2a3311, 0x64acf6c5, 0x6e813e03, 0x5f2fa3cb, 0x199bac1d, 0xf0a10cd1, 0xb406e9aa, 0x9d93634a,
+    0x3bebfec5, 0xcb8d09a7, 0xab4f7f16, 0xe48c1d73, 0x2f330a51, 0x202c2f97, 0xaeb78dc1, 0xe4ff194f,
+    0xa26270f7, 0xef233d37, 0x567d1ddc, 0x3d9cb80b, 0x5adf61c9, 0x2ebdaa73, 0xb2efafa0, 0x1ef2d35c,
+    0x522bc0d4, 0x15f6dc3a, 0xf0cb0cda, 0xaee469c5, 0x9908c951, 0xb6ea7f60, 0xb2facadd, 0x190e90c0,
+    0xdbf980aa, 0x0f03eb0f, 0x04c6e49b, 0x556c12fe, 0xd5a96486, 0x157c3785, 0xf6526ef2, 0x5add5370,
+    0x24361b11, 0xf04dca1c, 0x1e1d5d7f, 0x4efb0d76, 0x879ca9e5, 0x957d52a7, 0x093edbec, 0x6cd2c1fc,
+    0x05d94d93, 0xf1eca6f5, 0x89e93fbc, 0x6c9432f0, 0xa14f1b33, 0xc9ff6093, 0xcfece9ed, 0xd8f8617c,
+    0xf6450828, 0xb0d4ad25, 0x5caa0d64, 0x8cbd38fb, 0x5775feca, 0xe5d2de21, 0xac3d7c46, 0x159b08de,
+    0xce1879a0, 0x23959eb5, 0x66735b90, 0x9d1ffebd, 0x28519c33, 0x82d0cd94, 0x96a1bcf0, 0xd1b9d089,
+    0x70bba7e1, 0xf7f7d2c0, 0xc2d5e49b, 0x1c3a6a70, 0xc4c02293, 0xfa8a775c, 0xd49ad69e, 0x1945d145,
+    0xdd76c5db, 0x9d2e340e, 0x39384590, 0x7cf789f6, 0x70da0293, 0x3c8dd54c, 0x057c618c, 0x8eb4f657,
+    0xe0980a0f, 0x1c3cb71d, 0xa052c694, 0xa7c134b3, 0x64747693, 0x8d1b095a, 0x511bf3c3, 0xc659cf26,
+    0x73437e90, 0x117387cf, 0x953d219a, 0xb55a8547, 0x1cf4a410, 0xe52af3fd, 0xaaea5062, 0x8a678e31,
+    0x34b9151a, 0x02ecba21, 0xbd32b888, 0x4185c5d8, 0x6e7b0261, 0x69e9eb93, 0x97d3074c, 0xe65283f3,
+    0xcb4ce86d, 0x5b37fd88, 0x9c49d24e, 0x1cb449c2, 0x4528ede7, 0x04e383d5, 0x08809a70, 0x6b084354,
+    0xd985104c, 0x4a564053, 0x44374203, 0x6270f1b4, 0x2fa0f204, 0x76877eb9, 0xe25f0922, 0x04ce183c,
+    0x44306185, 0x5ba20e77, 0x15baa970, 0x411563af, 0x190d4d5b, 0x452bb4f7, 0x91bed0ec, 0x6a575820,
+    0xf7631c74, 0xd34ae9e6, 0xb01050a3, 0x0dde9501, 0xe30b0470, 0x0dd7db4d, 0x6a2fba76, 0x3cd78802,
+    0x156b59e4, 0x298662d5, 0xd22dbab0, 0xfc3139fe, 0x75c3243f, 0x281dc407, 0x95693371, 0x91e5514b,
+    0x70bea99e, 0x880fc3ff, 0x58fb5d00, 0xe03509ec, 0xf915f123, 0x7d05b501, 0x879d5b7d, 0xa5b105db,
+    0xa1a84456, 0x9cf5ae18, 0xd18e3e28, 0x7f1a9906, 0xdbc51843, 0x13e57872, 0x32b10052, 0x289b176f,
+    0x7bf6c801, 0xc920b5a5, 0xdae83410, 0x493eebd7, 0x4feb4cf8, 0xff625e7e, 0x063a7d37, 0x89e43138,
+    0x5ff1b328, 0x2f5ef551, 0xddccb534, 0xb1999ce8, 0xed7c9010, 0x62e8711a, 0x0279bb70, 0xe1eff818,
+    0xeb889161, 0x05d08333, 0x20c3b686, 0xd1cf3eb7, 0xf038ab22, 0x41f36f58, 0x5dc490ab, 0x0bffb7d7,
+    0x3fd0f74b, 0xbdf708a3, 0x6b96638d, 0x345e3ac6, 0x17178761, 0x25a3c02c, 0xea22b119, 0xfaf13811,
+    0x71dca91f, 0x8d66e581, 0x4dba28d5, 0x973496a5, 0xadcd4a65, 0x87f8baa4, 0x8e683ce2, 0x78125723,
+    0x0ba8b6a7, 0x714768e8, 0x590fb6a7, 0x91b39374, 0xed080e66, 0x0984fc55, 0xba43102e, 0x6dd709f3,
+    0xc7482447, 0x08042821, 0x45051257, 0x15bf4cbe, 0x86ad009f, 0x5a24ca4b, 0x15afc76d, 0x65938fc7,
+    0xaf8c84f6, 0x2cb82ce0, 0x6684c927, 0x286dd9c6, 0xc3c50eef, 0x9bfc245e, 0xc2e8c5e3, 0xe65c60fb,
+    0xa237bfa4, 0xae2b7861, 0x187f9638, 0x8942ced7, 0xc09b8f38, 0xeb556ee6, 0xc845b8d3, 0xfcc01df7,
+    0x4ddb99fe, 0xf024f7ff, 0x545879aa, 0xff227e5a, 0x2e47dc0b, 0x8744194f, 0x9f74421a, 0x5600cfb6,
+    0x75f32cc0, 0xc051e745, 0x914b5ba7, 0xc7d493df, 0x482c6fcc, 0x2c920a07, 0x75d4f614, 0xf22bc98a,
+    0x8c409a9f, 0xe691b154, 0xf89adfc8, 0x2f54efc3, 0x1ff5b962, 0x7f8eb29d, 0x967014b8, 0xb3193f34,
+    0xa6c85b9b, 0x5d509ae8, 0xde558fd3, 0xd48f3af6, 0x717d851f, 0x34ca6ae4, 0x4e93a662, 0x21ec5a6f,
+    0xe8848d0e, 0x480ca335, 0x2609313d, 0xdfa50db2, 0xb9984bcf, 0xb10ef5a1, 0xc809b0fa, 0xe7132cce,
+    0x2fb6ffcb, 0x986a228f, 0x5958f645, 0x319657ac, 0x5706a96d, 0x4f409f98, 0x23a0f825, 0xf7b27986,
+    0xdb2c679d, 0x417f43cd, 0x02c41af3, 0x3e35a437, 0x64803b4a, 0x79945c2c, 0x8a3faf1b, 0x94aeedba,
+    0x8f7e02e3, 0xb10582f3, 0x0af0bd16, 0xd47a2812, 0x0ca71a8c, 0x087481d6, 0xad286401, 0xc4390bf2,
+    0x3ff53fb6, 0xdf62158c, 0xd9c2737f, 0x3c7f61db, 0x1af01526, 0x6a4fb05b, 0x54cb379b, 0xc705809a,
+    0x4750389f, 0xb2d66aeb, 0xf9ce1bac, 0xc1d9c819, 0xdc4b207b, 0xcb45a3d6, 0x4dbbb0c0, 0xd4616794,
+    0xab11ad6f, 0x1b2009a1, 0x73f57d1d, 0xcc733adb, 0x1e4cc367, 0xea14f585, 0x1577ced5, 0x5f874120,
+    0x726fe4da, 0x44820046, 0x78368935, 0x208c084a, 0x2696e90a, 0xaebd0fbd, 0xae47df51, 0xc4beb9c5,
+    0xec9e395d, 0x88770aac, 0xbf14d15a, 0xc95639c7, 0x75db56ca, 0xabf231db, 0x7f668256, 0x4a62a54f,
+    0xe8902bb6, 0xb2088ded, 0xed070e56, 0x6c32ae79, 0x96f00737, 0x1e57d6a9, 0x235ca366, 0xb95c1752,
+    0xe90b086e, 0xe8b7b204, 0xf5e6e846, 0xb78aa4c8, 0x9aa48ab7, 0xff9d966d, 0x6f6dfe79, 0x3213b0c4,
+    0x181f7fe7, 0xb2c151de, 0x8ad6d7db, 0x2ece965c, 0x07dfce41, 0xd77a572c, 0xd55ee0b1, 0x48990866,
+    0xaf1f5d80, 0x257cbbe7, 0x53198c73, 0x73510654, 0x1e43879f, 0xbb2beb8f, 0x5e458d15, 0xd082b653,
+    0x78f8a911, 0xa5976ed8, 0xd327cd65, 0x8c3a28df, 0x24b778e8, 0x46bb12f4, 0x5becadf0, 0x723ddbfe,
+    0x36a838e0, 0x0c1cef3b, 0x962522a0, 0x70f5b711, 0x540c4354, 0xfc4d7692, 0xe9fb841b, 0xfb0a80a9,
+    0x6d6fb5dd, 0xbc65d32d, 0xa52fde99, 0x866711b7, 0x3e93ea70, 0x43e238e8, 0x0ead9534, 0x2539cb9d,
+    0x032b8ecb, 0x6089e9b6, 0xce0c6b09, 0x375d0920, 0xe427f709, 0xc094ff1c, 0x5b0e5fef, 0x03ff8945,
+    0x6202abc9, 0x076ba047, 0x1895e70d, 0x7f590777, 0x69dcf904, 0x9bd8edd2, 0x6a47397d, 0xccf77e43,
+    0x4d89326a, 0xc7c08ca1, 0x67d6fd3a, 0xf532403b, 0x13e61364, 0xfac5907d, 0x1e2f6a58, 0xc01039af,
+    0x5f01b05f, 0x4bd82fb0, 0xa7dc62bd, 0x675f7f78, 0x8ea7139a, 0x365f751f, 0xba98e6ab, 0x8a580e83,
+    0x8a312e49, 0xe20448ea, 0x05d8ad68, 0xf7a96fda, 0xd933ca15, 0x74ee29df, 0xf97ce9c0, 0x52ce6be2,
+    0xdb84cc8d, 0x8a2534c5, 0xe7df11cc, 0x49208694, 0xc03ec083, 0x3e8ce02f, 0x4fffbc2e, 0x14a1d7ea,
+    0xfd23076c, 0x6b7b2712, 0x871eea16, 0x1e44b538, 0xea07b9e2, 0xfb2bcfca, 0x43db4ab3, 0x96aed6e1,
+    0xfc2f2db9, 0xa9b0f8fc, 0x84e099a2, 0x1b73c48e, 0x589f5b88, 0x6cd03477, 0xc2ddb825, 0xafd6104a,
+    0x2d713c92, 0xee2fb264, 0x66e08c2b, 0x9eef1231, 0xfac7bd55, 0xac330faa, 0xa28febf1, 0xf5e2160b,
+    0xdaf2954b, 0x6de8675c, 0x0edf731f, 0x0fd25416, 0x882ec31d, 0xbf3feb1c, 0x9fa03d23, 0x464dc85b,
+    0xaf6b97ff, 0xee5e4779, 0xb5186834, 0xc42be3f8, 0x8a38a62f, 0xe288924b, 0xf9ab8b48, 0x00070b86,
+    0x74b47c57, 0xc08c6c6f, 0x23ec2bd9, 0x4fe5f42f, 0xc9001928, 0x27ff2812, 0x212d6f98, 0xd738e0c6,
+    0x77ac842b, 0x3254be64, 0xf4102aa6, 0xf1f4e8a1, 0x4720de14, 0x3ca7bf8f, 0x8eaefb54, 0xc3b99bc0,
+    0x7d3d008c, 0x957c98e6, 0x239420c9, 0x8de8b54e, 0xd6bcd769, 0xf4bc2e4c, 0xb01fbc00, 0x0070aca1,
+    0xfa0a04e7, 0x76c17588, 0x4e484621, 0xad205fcb, 0xfc26c1f2, 0x51523343, 0xbbc47b06, 0xd9fed23d,
+    0xeeff41e2, 0x1134a143, 0x00b66e4c, 0x7be3b770, 0x7f193531, 0x55f5af8b, 0x4ca7e78c, 0x546eb0b9,
+    0x4e494dd9, 0x3bebfa0e, 0x00dc34ab, 0x5635ed68, 0x8e7c3b8c, 0x7bd2501e, 0x2bb7fe0b, 0xfcbf0a27,
+    0xf12c9fee, 0x26a30a18, 0xa76fc6f9, 0xeb3bb415, 0x1c36a1c9, 0xfdd43d7b, 0xfb1b1d00, 0xb7d01765,
+    0x09a60f7f, 0x6f605f89, 0x09f96f04, 0xf2a234d4, 0xe3f6e938, 0x0b80e8c0, 0x20e462bd, 0xd1c122f1,
+    0xb59e82b5, 0x2349ec60, 0xcc13b29b, 0x0d30186e, 0x938c8b81, 0xabb361fb, 0x8b235fd1, 0xc4c3d398,
+    0xb89a65dc, 0xa3324f52, 0x7599b43b, 0x9184ba8e, 0xac103fde, 0xc42f7d51, 0xbbab035e, 0x9601bed4,
+    0xf383c800, 0x96f5a8f8, 0x4eff270f, 0xded87633, 0x089ee804, 0x1daff828, 0xf745c121, 0xe5a29f67,
+    0xc6de23c4, 0xd252fbfb, 0xf1ba055a, 0x8a252bdd, 0xbda3ce0a, 0x8b0e1149, 0x6a61ab26, 0xc2d8f542,
+    0x7000041f, 0xbf04d73b, 0xb8144e2a, 0x3242b898, 0x08284e17, 0xf114cb81, 0x6ec919d8, 0x9d7febd6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000018446744073709551616 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f68, 0x65c8ea02,
+    0x00000000,
+    0xac3f8f89, 0x97063269, 0x0c4cd8f4, 0xa693f118, 0x4dadfe1f, 0xc0099a93, 0xb22e76d5, 0x968bff1c,
+    0x45b58c0d, 0xf532fb4d, 0x2f5950c7, 0x976be0a0, 0x8ba27f14, 0x9cffb10b, 0xe6c7e456, 0x2fa152cf,
+    0x7332304b, 0xfaf4a5cb, 0x70eae413, 0x52ade55c, 0xe01d94da, 0x4e2b8592, 0x9888313b, 0x8da25e14,
+    0x7510d13d, 0x160e3f46, 0x45d4c1dd, 0xfb6beddf, 0xc430a42c, 0x0f6c10fe, 0x8d9a1fb7, 0xf0675542,
+    0xc1c91812, 0x36a46342, 0x29796166, 0x1cc3113e, 0x936ba785, 0x1e306fe4, 0x4945d6ea, 0x2d5777d7,
+    0xcfb2ab14, 0x5347b2d0, 0x9b749ad7, 0x6d235b31, 0x09ebaf39, 0x353ea56b, 0xb2e5ba7f, 0xda090a9a,
+    0xcaa9ae37, 0xb93083c7, 0xe5ada4eb, 0xa90a67d1, 0xbe50d4fd, 0x81527f51, 0xc6aed6a1, 0xd29e7a43,
+    0x9f1f427b, 0x288b090e, 0xf784cf9a, 0x0773aea1, 0x7b9a9c04, 0x51f14287, 0x87556966, 0xae8a8b22,
+    0x66551a42, 0x8850dac7, 0x81dcd792, 0xbbe5bbde, 0x68ff9237, 0xbda25f18, 0x5759dcdf, 0x366edad0,
+    0x3e90c0f8, 0x73da89d7, 0x646378b4, 0xb4af9405, 0xb13cb437, 0xcde4e634, 0x58826c07, 0xecd57fee,
+    0x9b3de5a6, 0xdc9c2f3b, 0x8900d625, 0xd4733cbf, 0x0d404010, 0x40353d4b, 0x086a0760, 0xaac539c9,
+    0x6b61c1a8, 0x4bf28ae4, 0xfe94bfc4, 0x726abe44, 0xfcbe4bb6, 0x3f9eaafd, 0xef47f6a6, 0x191e0644,
+    0x18d73fd7, 0xd77b1c65, 0x8fafd265, 0xc182ecc7, 0x8188a242, 0x1d045158, 0x946b363d, 0x6c9c1011,
+    0xf6fd760f, 0xba47cec7, 0x80bc3ad5, 0xc26db837, 0x294a9ca8, 0x89a1a19c, 0x49bb4286, 0x6b9da58b,
+    0x5a6a511d, 0xf25ab3f1, 0x82072afd, 0x04584748, 0x00bf6eaa, 0x1d32b6b9, 0x72bde9d2, 0x855cf5d5,
+    0x2354a7fc, 0x42e1d500, 0x7feca03f, 0xdb3d413c, 0xd3f7271f, 0x2a52f2cc, 0x336c66c9, 0x63cfeaed,
+    0x11d3f9c1, 0x8c5f6cea, 0x77cacc11, 0x874a103f, 0xe7304b2a, 0x8f1eccaa, 0x4608f9c4, 0x76097f51,
+    0xd8624bdf, 0xb13582b9, 0x60e17b54, 0x804e3e93, 0xe70c67d6, 0xc8ef6a7b, 0x56243b7c, 0xd2fef008,
+    0xad882286, 0x58f44225, 0x058e0418, 0xd9016ae2, 0x02417286, 0x875f5335, 0x12ad216b, 0xf5b9441f,
+    0xfe56c4f5, 0xa298e9c9, 0xf0f466c1, 0x8ba48d00, 0x6d7d1b4e, 0x7eca6412, 0x2040dff5, 0x84261937,
+    0x70294284, 0xb8bd9ed1, 0x255edf8c, 0xac714be9, 0x792730b9, 0xb350b382, 0x21c7575c, 0xf869789b,
+    0x92c6d678, 0x9083af28, 0x415a5a10, 0x462c4bd8, 0x50befa3e, 0x09122833, 0xb45709bd, 0xa37b2d85,
+    0x6e7bd99d, 0x6cee5af1, 0x1b46265c, 0xb6d641ed, 0x70059c6f, 0xfe7a33fd, 0xa7e0ec25, 0x58897c62,
+    0x8ff65967, 0x4c72070a, 0x6a8b6e21, 0xcff0e17e, 0x61b10f99, 0xa8dd70fa, 0x1bb21451, 0xca4c8d9d,
+    0x15b264a6, 0x594c6c6b, 0x75542e0e, 0xcc62ffe7, 0x149ea210, 0xb530504d, 0xe09fe0ff, 0x474fbf82,
+    0xa348c494, 0x3c859d75, 0xf522307c, 0x4d72c5ee, 0xcf84d137, 0xa8a08f8a, 0x70d0abf2, 0x593faf27,
+    0x0964b546, 0x94102a61, 0x612a0a5b, 0xcd409fe7, 0x4aaf766b, 0x08d55717, 0x72f26ddc, 0x2f734822,
+    0xa9dea7e4, 0xebbd6331, 0x1de7d3d4, 0x24d236b1, 0xad0bc219, 0x907a7ef1, 0xa029829f, 0x8cff56c7,
+    0x90d24bda, 0x9d293758, 0x6e69ad75, 0x78dfe7d6, 0x7ee57c11, 0xb4045feb, 0xaeeb2441, 0x1d66e690,
+    0xf6b77671, 0xdc8feb21, 0x906756f0, 0x60c9aa65, 0x4754ff86, 0x705fc28d, 0x5c0b7304, 0xc5ba816f,
+    0xd0dde4c9, 0xf1076c35, 0x39c991fb, 0x583a3d91, 0x6c431515, 0x86adcf88, 0x8ed9d28f, 0x2a4b9213,
+    0xee5b1b74, 0xd4759fbc, 0x91566744, 0xbd240ef3, 0x9ec49c1b, 0x25f59207, 0x4c764260, 0xe0122cd3,
+    0x864846a8, 0x1ea01809, 0xb5af909d, 0x9251c564, 0xbc4f3ac5, 0x0487305d, 0xe1bf4b79, 0x96484d34,
+    0x8cee33f7, 0x3875f8c0, 0x3a37b50b, 0x781db6c1, 0x0235764b, 0x76f89b00, 0xa309f5f4, 0xa7d1e3f9,
+    0xf12cdf78, 0x1372dc33, 0x447d9c31, 0xff35cf02, 0x516afb20, 0x237b6af1, 0x29d3993c, 0x0c57b9ab,
+    0xbbc8e3ae, 0x2ae1a368, 0x8d34d2cb, 0x30ceeaf7, 0x26015bd6, 0x0fa4ad29, 0x1b59f901, 0xddc94ce2,
+    0x716f1cdc, 0xd4323ccb, 0xeafe91f9, 0xb8346dd7, 0xa07ad292, 0x81970c61, 0x10f9941d, 0xd917ec08,
+    0x5bde4027, 0x93e81efd, 0xe26a53f0, 0x6e117827, 0x564505af, 0xb7bc1cb8, 0x37386a51, 0xe4ce16dd,
+    0xac506bd4, 0x2159fe8e, 0x338ad0c4, 0x6336787c, 0x27fe4ecb, 0xf1628962, 0x1f9ea16e, 0xdb1590ed,
+    0x4e949b8d, 0xa187ea41, 0x60324b51, 0xce6fbcf7, 0x754f14f8, 0x8cd6a8b2, 0x668adfcd, 0xc5f75b58,
+    0x2d677d3d, 0x33386d44, 0xef5961aa, 0x02d77d00, 0x57ee0f18, 0x126fc6d0, 0x404691dd, 0x68b16a86,
+    0x59b05752, 0x64b7ac6d, 0x024cae05, 0xc7cf0d5c, 0xbbd1fbe5, 0xeddd9549, 0x0182c0a6, 0xaa4dae67,
+    0x439fbbf7, 0x922e98b1, 0xf23de3b8, 0xf52c41ef, 0x7db86702, 0xa7e9e92a, 0x80dd34fa, 0xcacea553,
+    0x0132b5bf, 0x1e3e4539, 0xa1a189e7, 0x912f9ff1, 0x5759c3af, 0x0a860023, 0x930709b0, 0x8d3a8d71,
+    0x19703c44, 0x41f4686d, 0x068a4dc6, 0xf0333827, 0x7b0d9443, 0x3abd1e25, 0xdb5b07cf, 0xdffd044d,
+    0xfe79f729, 0x4404c1c4, 0x3dc8cb3d, 0x0ec22548, 0xe9744ea3, 0x72d49fa8, 0xace8af4b, 0x12f82209,
+    0x6a99188a, 0x99dadfbc, 0x2493765a, 0xad7e6dd1, 0xf7010f15, 0x8ebb19d7, 0xddfce069, 0x515e2b93,
+    0xedf2efc0, 0x8e01f555, 0xc1c4e07d, 0x45108c26, 0xc027e1f4, 0xec22ab0d, 0x636bd5a9, 0xe96d211b,
+    0xc3f6f56a, 0x740a2f6e, 0xe8c49e20, 0x6a040114, 0xad7e6222, 0x6aa06f8e, 0xe787c040, 0x8e525f5a,
+    0x99743a12, 0xf13b7960, 0xf03a65bd, 0x86a2f65a, 0x19b6a430, 0x04afc8a8, 0x41664b1f, 0x58e28740,
+    0x52b282ab, 0x2d8b03cc, 0x1f375230, 0x054fe32e, 0xe4cb4568, 0x1a502cf8, 0x2392c39c, 0x48eeca0f,
+    0x85f6c34a, 0xedcb77ee, 0xe7268fe6, 0xd8bcf957, 0x979e224b, 0xd0386961, 0xb259a91c, 0x96f628e2,
+    0x0eff0583, 0x6b444b65, 0x480a5b87, 0xc3dec6d0, 0x29d422c5, 0xdeeabecd, 0x207fb1fd, 0x6050277e,
+    0x59ac3865, 0xa61082b5, 0x37aa4ee3, 0xfcc82483, 0x98c65d9e, 0xade31830, 0x23a3f932, 0x0978705e,
+    0x24baaab5, 0x853e1d40, 0x698cc194, 0xb2e75f0f, 0x86499a55, 0xcc6a4174, 0x2c361f44, 0x36bc5f7c,
+    0x18e7a61a, 0x7f798444, 0x367e46b0, 0x9cd7fe41, 0x7f8c2367, 0xd5d5f97f, 0x9de0d717, 0x527d1d9f,
+    0x5681faf2, 0xd1d0b5bc, 0x10f6cd2e, 0x5b14f11f, 0xd43b36a7, 0x4bec16e4, 0xca600af1, 0x6a2c7b29,
+    0x9d982f2e, 0xc008679f, 0xd5b10317, 0x98080264, 0xe7aeea0d, 0xf47ce7e1, 0x122d8529, 0x4b881900,
+    0x3c7f0839, 0x322f2bd3, 0xd67a2298, 0xf5eb3fba, 0xba392d35, 0xc474ce23, 0x0d0163a8, 0x36c9f3bf,
+    0x8d4a44a5, 0x0f7c14e0, 0x9e2682a4, 0x9549227a, 0x77ac6291, 0x698f2517, 0x9f2654f3, 0xc37c0c33,
+    0xd8c2ba54, 0x00483414, 0x76976c5b, 0x06c2019c, 0x91e53d43, 0xe158bcdd, 0x8bf640af, 0x6feefe96,
+    0x92794b43, 0xeb715905, 0x42081944, 0x1355fc0c, 0x7c477cd7, 0x6404a6f3, 0x1c1741ec, 0xb62a034f,
+    0xfbbd15cf, 0xd07085e9, 0x000198cc, 0x4b41ed53, 0xb5ece3df, 0xea28c093, 0xe0d3991f, 0xb6116072,
+    0x56b69b73, 0x7a4dd55d, 0x266d5734, 0xa7c3c6e9, 0x3aa47f47, 0x61a631a8, 0x4e06a76c, 0x4471e005,
+    0xa80bb8a0, 0xbc76b636, 0x9d4f79d2, 0xba3f9f64, 0x768cbf39, 0x7331ebbe, 0xdd86fa31, 0xa695c3e4,
+    0xb6de6d41, 0x586aadfb, 0xd54efec6, 0x3854816c, 0xc54d02af, 0xc28d999f, 0xed165ffc, 0x0b8e0239,
+    0xdd5f1f91, 0x8d3156e8, 0xdf7d585f, 0xfc4115fe, 0x09b1e50c, 0x694f9bd4, 0xf8eb6669, 0xb83ec59d,
+    0x6033eabf, 0x347cc9cb, 0x5940fb61, 0x06b48ef5, 0xac60ecbb, 0xaab74b05, 0xe152a406, 0xa6c64cda,
+    0x17fb6168, 0xf959dcd0, 0xebfade5b, 0xe5cb206e, 0x9cc87543, 0x0cb86369, 0x26da8c9b, 0xdf390b44,
+    0xe1f63d2e, 0x3bdd6bf5, 0x3277f39c, 0x4331a2d9, 0x70abb412, 0xcafdd356, 0x78ab5b9a, 0xbd9a9e1b,
+    0x280c4d61, 0xc25f0bcd, 0x3a0ec42d, 0xb1d65dce, 0x48d049c2, 0x6066ebaf, 0x715513f6, 0x47746df0,
+    0x59bf3ea4, 0xa767875c, 0x7b2d9772, 0x1f10de78, 0x8bf5aea6, 0xe7ed4512, 0xda4be645, 0xcd14b58d,
+    0xbc3e36d5, 0x1aebbd26, 0x8009f8ea, 0x357b437b, 0x137bd3a8, 0x4ea2c12f, 0xccb2be45, 0x196ad303,
+    0x34c8b73b, 0x1c912440, 0xda7c28d3, 0x68e2f339, 0x84667668, 0x981a97c0, 0x2898a130, 0x923d143d,
+    0x9f8b7fe8, 0x1dfa9691, 0x3b6ba52c, 0xe75e8777, 0xd13ea717, 0xf31c204a, 0x926f3ef9, 0xa59d1b60,
+    0xf69c71eb, 0x719d019e, 0x4d25f9b6, 0x996b9997, 0x3cf88bd7, 0x20d1c000, 0xe408ba3d, 0x0faccf44,
+    0xf10ad755, 0x0e175ea4, 0x5e4aeb83, 0x91cc7618, 0xd41d4798, 0x2ad563e4, 0xe446aa30, 0xe629f676,
+    0x562de0df, 0x07cb58ec, 0x0b8826ca, 0x04bde252, 0xcd6c70d7, 0x35f233d8, 0x1ea8f147, 0x9b14d276,
+    0xf1bb28c7, 0xa3a756a4, 0x75873931, 0x8c140ee8, 0xc4abaf63, 0x1995a949, 0x262e3fac, 0x4b93b8ab,
+    0x817699d6, 0x3fc52aa7, 0xf0d9931f, 0x71da2454, 0x6c0bd4de, 0xee711e67, 0xfd846422, 0x86454b0a,
+    0x839e2296, 0x957caabd, 0x3918343b, 0xf44413a0, 0x4a49d93b, 0x3858475d, 0x6a9c5acb, 0x9ee3d99a,
+    0xfc7da16f, 0x056f999f, 0xeebb6414, 0xe72c1196, 0x198cb705, 0x4d2df4f9, 0x070d62a2, 0x4a8309fa,
+    0xbfdcd9a9, 0x4bfba5d7, 0x9ff22102, 0x86ed28f7, 0xee7a33f9, 0x6af6abe3, 0xbabf45f0, 0x72cd49ea,
+    0xf400dce6, 0xcef1800c, 0x2f783f30, 0x832f0db5, 0xdb4c27a8, 0xb9dcba3d, 0x599c89c9, 0x07595368,
+    0xc207c202, 0x8233d0f0, 0xe0e628d5, 0x523fced2, 0x0f5c8f61, 0xff23c0f1, 0x4f8ca70b, 0xe225e924,
+    0xc9e396c0, 0xc7599375, 0x1b195365, 0x75527988, 0x2a192e69, 0x9947bff5, 0xe4ca5f45, 0x1ea9bdad,
+    0xbe331560, 0x515b6354, 0x050b33fb, 0x98710cbc, 0x7770c089, 0x8f824aa4, 0xe06f44ac, 0x700acb15,
+    0xb05de2be, 0x4b03a91d, 0x29fc6f93, 0xcaf63077, 0x948ee1ba, 0x3296fb86, 0x193e759b, 0xa5f69afd,
+    0x9d80899a, 0x79572b41, 0x338e8ac0, 0xdaaafe0c, 0xeae86753, 0x39ad5ce1, 0x3e0583b2, 0x8b2ba95f,
+    0x67688441, 0xbe4a2144, 0x5e2a9441, 0xadf73adf, 0x76b8fae7, 0x84b8ef79, 0x14c37132, 0x5b30c059,
+    0x9f8e61f7, 0x0f545687, 0xfe303434, 0xb2a05467, 0x3c740612, 0x5608316b, 0x54d8e824, 0x06aca541,
+    0xb7dbd9eb, 0xceaa1957, 0x9dc1994f, 0x781d60d8, 0xe43b0cc6, 0x89c5325e, 0x098dfb9b, 0x60d76c7b,
+    0xd362c6ce, 0x78ca1c54, 0xa8fac25d, 0x784dae94, 0xc39215da, 0x216998d5, 0x8a585b29, 0xf0aa8361,
+    0x150cf901, 0x2b1d4e9a, 0x759eaa4e, 0x5eda5ee0, 0xdad78e58, 0x91ff2c87, 0x1a21faa7, 0x3b91b839,
+    0xd47f54b3, 0x560e7a78, 0x9af07860, 0xf1a360e4, 0x505a756d, 0x16e40100, 0xbc24ab15, 0x6d34cee7,
+    0x286d8bd8, 0x5558f9d2, 0x569f3b3f, 0x09bdd8c5, 0xf1505e8a, 0x41ba49b7, 0x048905ed, 0x553d3b9b,
+    0xbaac2e43, 0xf2a69314, 0x1fdee7dc, 0x9cf44e39, 0x396ccc6e, 0xd3385b53, 0xe8330feb, 0xf3ac2a15,
+    0xe26f689e, 0x83c21cc4, 0x02bc1eac, 0x984452b7, 0x7de81c75, 0x49feee62, 0x2c614a2e, 0xa25e3c27,
+    0xe26d639e, 0x85e8d849, 0xb259f4cc, 0xf8101ddc, 0xcac2ae16, 0xc1af853f, 0x749266d4, 0x37f96b83,
+    0x1a1fc455, 0x7464afee, 0xc63ee56a, 0x7d569767, 0xce29e63a, 0x0cc3a5d4, 0x864a5b15, 0xada42ae0,
+    0xcb4f39e5, 0x25de3525, 0x164225cc, 0x847d4bbf, 0x5ecdb0df, 0x734dceab, 0xba2fd136, 0x5611b7d6,
+    0x93805ff3, 0x75ba442a, 0xfe200e54, 0xccfa1b4f, 0x088f1520, 0x35b847a5, 0xacda7997, 0x67d6741d,
+    0x8d9b83b3, 0xa9cc8b1f, 0x91afc040, 0x093ee9ac, 0xd57b6fcd, 0x88887204, 0x2ce71d81, 0x894cc085,
+    0xfeec1fa6, 0x268c51e3, 0x10ac0041, 0x567da361, 0xcb962d4c, 0x07a8148e, 0xd21267d7, 0x91cef33c,
+    0x9ca9ef6d, 0x686019e6, 0xe17c499b, 0xdf7f27da, 0xa6ff329f, 0x6f591964, 0xcbd794e2, 0x0227e6e9,
+    0xe827765d, 0x01c2914d, 0x303c6a94, 0x0f51c341, 0x157a0bf8, 0x0e6eea90, 0x0e22e6e9, 0x55407858,
+    0x69425d9f, 0xcf530e6c, 0xbafde79e, 0x135ca53c, 0x6355f38a, 0x9bf41d31, 0xd45f924d, 0x89c22979,
+    0xbd4d83da, 0x1ec72853, 0x55cff36c, 0x6470b66b, 0xc65fe43f, 0x49825d1c, 0xa097e07b, 0x42b1cd05,
+    0x71975255, 0x87ff4a46, 0x4167c6c1, 0x6e4a05da, 0xdce5bbec, 0x33e7f0c6, 0x5ea4e240, 0xfd75f5e2,
+    0xce33b81d, 0x5e2f6a76, 0xc9826fcc, 0x3cee7e69, 0x48853466, 0x7ee3db10, 0xa80c9670, 0xb3f404a0,
+    0xfc4a09f0, 0x4ea03c58, 0x3f40dcc5, 0x6f3c1e56, 0xcbf9a4e3, 0xb370307f, 0x9ed1918f, 0x47c2477c,
+    0x3567efa1, 0x369a90ad, 0x822dd1f0, 0xb114dbfd, 0x6b47204f, 0x4d07cd23, 0x29c98767, 0x22a0fdd7,
+    0x169c06d6, 0x08696205, 0xd3fc0b88, 0x52bfb9e2, 0x25d5756e, 0xc9e41419, 0x8ab980e6, 0x64d30c47,
+    0x356e33ed, 0x58df91a0, 0x19ef1897, 0xf6f5241b, 0x3b7a227c, 0x6e99a7cf, 0xea8edb57, 0x4ba6ab51,
+    0x0c683ce8, 0xd28dc8e3, 0xc4a8a2d1, 0x878d08f6, 0x1f30ebdb, 0x8cbc0b2d, 0x1472557f, 0x16eedb63,
+    0xc0a94752, 0x09d1d9dc, 0xf8a48854, 0x2f86fbd7, 0xca92d06c, 0x4f768847, 0x4a756319, 0x61ba1224,
+    0x0eb9e2c0, 0xb8007815, 0xb7935c7e, 0xbf94e4bf, 0xa214ba35, 0xe459118f, 0x312eb5b9, 0xc3d29109,
+    0x6268070e, 0x6c346320, 0xa6871ab5, 0xfd65993e, 0xb3301ec0, 0xc8cc032d, 0x61bfad7d, 0x9c932f7e,
+    0xb41cd7c9, 0x4c12e7fa, 0x31900102, 0x9c57a4bb, 0x05c343fb, 0xf0cea7c8, 0x3ba3b0d8, 0x58ab8bee,
+    0x1657d08a, 0x56fc3429, 0xc43c14ad, 0x66840045, 0xd89c257b, 0xee28a31f, 0xbc3b4968, 0x4b2bec7f,
+    0x5fd39e0d, 0xe1e31d7f, 0x28a1b478, 0x1831e3e0, 0x261af000, 0xa4b6ce5b, 0xfbfa51bb, 0x262f7ee7,
+    0x15a36c8b, 0xe5285fa6, 0xd5ebfde7, 0xdca75c6d, 0x194c6610, 0x6737c528, 0x46f5208c, 0x64a43732,
+    0xd3e2bd6a, 0xdd5102c6, 0x88294441, 0xe24415bf, 0x6b8cf9bb, 0x376bcf94, 0xd44571cf, 0x8d3e4044,
+    0xeaa53f69, 0x26cd2bd6, 0x088568ba, 0xc933f9e1, 0x0a9dc60a, 0xb60e3555, 0xc779afa8, 0xa0ab0e27,
+    0x667b4faa, 0x6abdef7f, 0xb1e8f58c, 0x02538df3, 0x54bec819, 0x8ab58c2d, 0x57470d44, 0xc44e1570,
+    0x0ed0171b, 0x92e30da5, 0x00954b3f, 0x5dd1d077, 0xa9d76769, 0x35b87565, 0xbe7fae79, 0x0476baad,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000009223372036854775808 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b4, 0x32e47500,
+    0x00000000,
+    0xd1fd4b48, 0x164b375a, 0x0ace22dc, 0x6f68f6f9, 0x8f4ae8d9, 0x307ec5b7, 0xcb63be14, 0x48e1ffaa,
+    0x0a0ebb5e, 0x7d059e53, 0xf8a07fca, 0x05dd9d4b, 0xc4f26926, 0x695349e0, 0xcee866a1, 0x1d664141,
+    0xda7aa8b8, 0x8b244e3f, 0xd3a44e89, 0x19f285f7, 0x64ce0b33, 0x82e9f944, 0x60f0d0bb, 0x88a0d22c,
+    0x76ef46fe, 0x3555f7f1, 0x89ea77da, 0x8fa7ffb8, 0x7afccb24, 0xc5aede72, 0x89e8fd29, 0x9ccc3ba5,
+    0xfacd4e4d, 0xe4e75a5a, 0xe72a6e65, 0x3329289f, 0x134d1569, 0x9d93bfc5, 0x3298523f, 0x6b8cdb48,
+    0x3d071c9e, 0x712f3c5a, 0xf9303313, 0x43cdff99, 0x9dfc67d5, 0x7b58e4c9, 0x9be1791b, 0x1030b430,
+    0xdce4dcb5, 0x349749a5, 0xa55d210d, 0xae7ad408, 0xb832f681, 0x9cd3ffa6, 0x23ab9018, 0x20cb5637,
+    0xcbcd5609, 0x821d6e3e, 0x6f93b6c4, 0xe96f6803, 0x518cce25, 0xc459d6e2, 0x82b1d8b5, 0x6b1402db,
+    0xf253fe97, 0x0acae088, 0x106bdd03, 0xb31de801, 0xe3925caf, 0xf52a4b68, 0xa13c5fb7, 0x60141911,
+    0x6959d833, 0x35134d7f, 0x1748b612, 0xc18ee20c, 0xa80edffe, 0x6c361b2d, 0x2419f260, 0x4d7dfcea,
+    0x6d4fdea1, 0x9624232b, 0x9df606e3, 0xfa02b297, 0xad7fa560, 0xb9820d7d, 0xa873853d, 0xaf614d6c,
+    0x460138ae, 0x8b2809a1, 0x1b99df62, 0x60ff8ed5, 0x28ad158f, 0x753b57f9, 0x81eab99a, 0x5d236e86,
+    0x3c7f42e5, 0xb80d8cf8, 0x47a1929d, 0xf549a339, 0xfe0bfdbb, 0x80a9118f, 0x33c14cc8, 0x85f791be,
+    0xc22cf4d5, 0x39b09d6c, 0x1643597a, 0xdafdde83, 0x1d9b12e2, 0x75114446, 0x9f2a5f8e, 0x370d4adb,
+    0x52c00f9b, 0x41c03cb8, 0xa34ed515, 0xb70dbc63, 0x1d503bd9, 0x906940b6, 0x0ca83eeb, 0x3f5baa9f,
+    0x242c651b, 0xff63f2e3, 0xf5187717, 0xfdd464ed, 0x6a3e6b56, 0x7f9373e4, 0x7ec8de22, 0x8b51731c,
+    0x72b33a1c, 0x6568d18c, 0x2868c5f9, 0x121834e1, 0xb639dcd4, 0x05ad77da, 0x88c79bb4, 0x9143066f,
+    0xf945a77d, 0x048e77c7, 0xe21707a8, 0x06e06f8c, 0x0bda6132, 0xc3a62579, 0x8a9d0170, 0x16538164,
+    0x34b54372, 0x6c76a0ab, 0x9f3e8ade, 0xb32b3420, 0x87b4c9ee, 0x892cd923, 0x117646af, 0x99c6cfa7,
+    0xf291cda9, 0x39e65cf1, 0x85fe60c7, 0xf4221097, 0x28298dbd, 0xb5473ce2, 0x03b91cff, 0x07003ba2,
+    0x2af4f9fe, 0xaa8be245, 0x7d24c5c0, 0x2d47e2f3, 0x3332239c, 0xa99d99a5, 0xff070e30, 0x4a936bea,
+    0x835d3787, 0xb3fd85ce, 0x0fce84d4, 0xbb53ca68, 0x4d4f3de8, 0x98722f5f, 0xbaf9d35f, 0x5d5cb63a,
+    0x4b3fe212, 0xf4a8b1f0, 0xfaad8c17, 0x9e7f3a84, 0x2dd306c0, 0x59e51ae0, 0x58099237, 0x59ab7a01,
+    0xf527153d, 0x5a69cc34, 0xa0781805, 0x02d3b93d, 0xc8bae856, 0xbcfd2580, 0x2c6735c2, 0x7bb89221,
+    0x5262b012, 0x16a8e1ac, 0xfea79d13, 0x0921d728, 0x8c5ca8f3, 0xc4e12939, 0xb2dccdee, 0xb67e1b4d,
+    0x315b5d90, 0xc762b684, 0x591f99bd, 0x4401c193, 0xaa0c0152, 0xe560e3b5, 0xf6940345, 0x031db969,
+    0xc6740225, 0x57fdd763, 0xb1f55cc2, 0x240eb6f0, 0x1114aa3b, 0x1eccce77, 0xe1e399e6, 0x14cd0097,
+    0xb05dca0e, 0xf04cbaa5, 0x4bf4511c, 0xfd008506, 0x12d35bc3, 0xfa0bb88e, 0xa46bbed8, 0x0f3449c3,
+    0xc1d51463, 0x57ed69cf, 0x9224dd09, 0xde6a7eae, 0x582bca9e, 0x549cca95, 0x842b97a1, 0x024acb16,
+    0xd28cf789, 0xd96199e4, 0x3c75ede6, 0x0f659e2c, 0x98742e8b, 0x6377334b, 0xbab51c98, 0x5840abbd,
+    0x7a6bd784, 0x555f53c1, 0xac0cbc5e, 0xa7341c7a, 0x37ed88d2, 0x8bdb9c97, 0x98c5e404, 0xae01f9bd,
+    0x68c067e5, 0x024225dd, 0x92e29dc7, 0x9687a8d1, 0x089ae963, 0x10ad4d99, 0xbe02295c, 0x163a7ffb,
+    0x2e76e2ba, 0x6b069fe6, 0xe372f71a, 0xca0372b1, 0xfee4da40, 0xe0d0592a, 0x98e6ef6c, 0xf4d70da4,
+    0xa42293f1, 0x6dc50317, 0x0eb55046, 0x6b44bd04, 0x03fcf9cd, 0x150f5418, 0x35471d9d, 0x214ab4c3,
+    0x14703d78, 0x280ed872, 0x88b727a8, 0xfad7770a, 0x704e5895, 0x3f5d07e0, 0x86367c48, 0xc36b7016,
+    0x8af506fc, 0x8f54d23f, 0xddba5e81, 0x3037528d, 0x7df4cc65, 0x36f9de0e, 0xcb9e47ca, 0x2f21ff43,
+    0x59ad59f2, 0xc8bc72e4, 0x32c74f34, 0x469fdee3, 0x61f8baff, 0xfdf68ccf, 0x10c02386, 0x14c40d18,
+    0x94ffb591, 0x9bed26f2, 0x63f5fd54, 0xb0370f78, 0x9a4686f2, 0x73b16b1d, 0x25dcc821, 0xb5387d46,
+    0xf298c4be, 0x5e24175e, 0x6cc1e873, 0xbce2e9cb, 0xe4e08bc1, 0xfec19020, 0xcf86a8d8, 0x82b0bc5d,
+    0x12786d6e, 0xc95e0aef, 0x6fe93b49, 0xffa55033, 0x38d921f1, 0x17cba76f, 0x52ccf7e3, 0xe7cb7198,
+    0x4d2ea0f6, 0x0b6a77f8, 0x5818db43, 0x734bcac6, 0xa49d1060, 0xbb9316f4, 0x7fa76f8a, 0x37490b08,
+    0x4377904e, 0x431e00ec, 0xdb59ec39, 0xfe2bb5cd, 0x25340b64, 0xfa52de6e, 0xe9d003fd, 0xa78bd7e2,
+    0xe04454c8, 0xa40a41a9, 0x9c92a135, 0xd71909cb, 0xc2884696, 0xad01bbde, 0xbb8df90f, 0x41448162,
+    0x5f64f61b, 0xe0ef0047, 0x70a93edb, 0x2cf26c4e, 0x28af3633, 0x31942465, 0x1f54e479, 0x9a32f8b8,
+    0xf06d9b9d, 0x6fc2562a, 0x74b66df5, 0x9a0b95ec, 0x464e1270, 0xa836d570, 0xa5819bad, 0xdb93900f,
+    0xedfe2aeb, 0xcd6e4ed4, 0x66e78f4d, 0xdeb743dd, 0x5f7aedfe, 0x2303439c, 0xeefef2fe, 0x55245e76,
+    0x9c153b3d, 0x50b3eab6, 0x33cd02e7, 0x9c460d60, 0x899b513e, 0x1e6e3221, 0xc34ae411, 0x1840a4ab,
+    0x41a094c0, 0xef806503, 0x32ab0e9d, 0xce2e3ce1, 0xfad02758, 0xcbd22936, 0xbbbe1371, 0xf9e9c4d8,
+    0xe2d95cef, 0xf7711e7c, 0x9100cc2f, 0x09fefb07, 0x4f978fe0, 0xb66720d6, 0xfc38b58d, 0x4674e652,
+    0xb57e46a0, 0x38b9cc2a, 0x9ef99a34, 0x14bd489f, 0x40ddee74, 0xb1319d53, 0x16b8bb8a, 0xbd089413,
+    0xf8b4a07a, 0x76619982, 0x1b0ca767, 0x457e055d, 0x993a8f86, 0xeedf39bb, 0x90efcde1, 0x69fef7d5,
+    0x2fc805c9, 0xc32e066e, 0xfe4d8a3b, 0xe902437d, 0x8f1c5d33, 0xb9f9b301, 0x744f8d85, 0xc87ca7f6,
+    0x2c9d8082, 0x25ea6053, 0x1be57d63, 0x02f5f5a0, 0xcc9e88da, 0xd70648a2, 0x7b7a222d, 0x8bcdacbb,
+    0x8fef01db, 0xc28fa118, 0x375b11bc, 0x77edac4e, 0x3c6bf3a0, 0x4fb84129, 0x1cab9551, 0xd057e700,
+    0x05143660, 0x4e2e5ec2, 0xc12a7876, 0xfe12cdf1, 0x0f6e5c9d, 0xe026ac2b, 0x2c4ec577, 0x25d94440,
+    0xa970de27, 0xe1cfa4ad, 0xe36c44d1, 0xb5aad07e, 0xc1c43d15, 0xb02829c4, 0xa616761c, 0x72671bfd,
+    0x30ad8bac, 0x4ed5ff6b, 0x65f1b56f, 0xa1cd5038, 0xaa90a47c, 0xafc7f604, 0x14c0c4ce, 0x3fb60fa5,
+    0x464b7682, 0x680681fb, 0x36d73138, 0x7185fe45, 0x863d670b, 0xbefabd7b, 0x70b576a6, 0x7977572c,
+    0x5075ece2, 0xb38c31c0, 0x23e8f9ca, 0x8d07a904, 0x7760decc, 0xe1670a09, 0x464398db, 0x596f126b,
+    0x470be994, 0x9821432c, 0x8ebdac9e, 0xc76b6910, 0xc645edae, 0x2cd8ac80, 0x054d34f3, 0x8ff710e4,
+    0x8de28844, 0x4036c6d8, 0x25dd6d94, 0x94a7dd4d, 0xeff509d3, 0x07a5cd3d, 0x90d082b8, 0x8fcba1dd,
+    0xaeffa70c, 0x8a5b7164, 0x92f1d3f4, 0x753fbdf1, 0x6d0689a8, 0x7c90aaf5, 0x6d768e72, 0x2d89f776,
+    0xccae0494, 0xc04d57ef, 0x97fbbeba, 0x3ced382e, 0xbd150ef3, 0x82e94031, 0xa45ada8a, 0xebc3d84d,
+    0xf02fd7ae, 0x5ed4d52a, 0x73dca5e0, 0x75bf9cd7, 0x35476619, 0x648ce757, 0x5be99251, 0x5e4d66ae,
+    0x28d2055e, 0xb356a633, 0x5301d5b2, 0x88ca9175, 0xe26b6bda, 0x99bac3f4, 0x980abd7a, 0x45bf6434,
+    0x548160a8, 0xe95294fa, 0xcd8a08bc, 0x1315af58, 0xbdb1f32d, 0x2781d376, 0x4316a6c2, 0x09f0ab47,
+    0x50f8bdb1, 0x3d9acd66, 0xc9bbdaf7, 0xb0d2250c, 0x409f9504, 0x305b96e7, 0xa5393109, 0x2390465e,
+    0xff7a2700, 0x70c386e7, 0x2e1d27cd, 0xc3370788, 0xb1d7aea0, 0xf8583cd5, 0xf8eaa0af, 0x2851c237,
+    0x97965f89, 0x7ee4958b, 0x65d99ffc, 0x5110d9ff, 0x0ebb8211, 0x49447711, 0xc1717c95, 0xb7f819ff,
+    0xff084a2b, 0xcee46de5, 0xf5a1f735, 0x4da56156, 0x8662c92c, 0x082dd9fa, 0x1a3cade2, 0x7185e280,
+    0x77d46eb3, 0xd34a3f2d, 0xde7ce999, 0xeea8f65a, 0x4dd33377, 0x405d5164, 0xb23a3f58, 0x791fc5ad,
+    0xd8f4848b, 0xcb274117, 0x83ca375e, 0x803d9c4c, 0xace7d544, 0x7a56754d, 0x419a5805, 0x150a984e,
+    0xd5505897, 0xa52f1172, 0xffe12f7e, 0xfeaebe90, 0xd1a9d4c9, 0x1f4ed8ff, 0xc49e2987, 0xa6385fe8,
+    0xa60a8504, 0xef06d98e, 0x0c54eecd, 0x4032427c, 0x64d9823c, 0x2d342f69, 0xd015cdf8, 0xe636945c,
+    0x3855a8a5, 0xc133bac9, 0x69baeaaf, 0x53d9a91d, 0x1120f091, 0xf0f58c94, 0x5fd51252, 0x6da26ee4,
+    0x1cf85c98, 0x31d01a0b, 0x5f558839, 0x740dc89a, 0x42b722d1, 0x90cf6549, 0x2537e18c, 0x5ffe9660,
+    0xe466ba20, 0x159e691c, 0x9707590d, 0xe73e1a8c, 0x486029a3, 0xcc53e90c, 0xeed6b82d, 0x05c329cb,
+    0x2f73c3d7, 0x36f000b2, 0x33acefa9, 0x6219a5f7, 0x25c23392, 0xbffdb795, 0xd340c258, 0x1be2137d,
+    0x3e9ed925, 0x41384ec2, 0xffc5c378, 0xe4dad7ac, 0x26a46759, 0xf40f3460, 0x13b8a746, 0xf78af02d,
+    0x677f241a, 0x214235f5, 0x9433fb3a, 0x52b97c33, 0x94f85a57, 0x73e36b95, 0x205d6697, 0x0f76a10d,
+    0xc936f0a4, 0x34cc0ac2, 0x6a892d79, 0x9e1aedb3, 0x1513e56e, 0x66998998, 0x50213ae0, 0xe936f322,
+    0xa0268866, 0x042d54f4, 0x2a0774a0, 0xcdb6e3d7, 0xa09233ec, 0xd9aa06db, 0x1605732f, 0x1c5fb159,
+    0xe5c3517a, 0xf12c18cb, 0x54d799f4, 0x9e35d635, 0x43fb8ad6, 0x49a23f88, 0xff814623, 0xc0803c1d,
+    0xb0fd98c0, 0x79752bd0, 0xa7aae830, 0x7485fd61, 0x1aa8e963, 0x4114ac0f, 0x80afbd33, 0x96e965b1,
+    0xe92fe3f0, 0x49638349, 0x53c99a58, 0xcf1b46ed, 0xc3889072, 0x4e04cc10, 0x67c67f5b, 0x7a2a20a1,
+    0x22a41a67, 0x07ec9de1, 0x5ec0569d, 0x9dda6730, 0x91fcccf8, 0xa72c037f, 0x7c74ed41, 0x659d509d,
+    0x51fe91a0, 0x6378666b, 0x3fe6c23f, 0xbdc0ca81, 0xe36da040, 0x26089f97, 0xf50e401f, 0x294c8b4b,
+    0xd85c31e1, 0x6866391e, 0x93cc390e, 0xc8a8a035, 0xbc7af8ee, 0x82a96dac, 0x578e161a, 0x156541fb,
+    0x156482cd, 0xaa4662d9, 0x9cd7a527, 0xa1060a94, 0xb6b9b755, 0xb1517947, 0x2ef6394b, 0x5e7a849e,
+    0x66a2079b, 0xfc754ba3, 0x0d293a1a, 0x9878c58f, 0x8d390810, 0xfad664b6, 0xffba345d, 0xfb3734e3,
+    0xa3c42688, 0xd2a8c92f, 0x1d28ebea, 0x24bc4a9e, 0x97fcbc36, 0xd366b999, 0x867e3857, 0xb8524e62,
+    0x3b43d2e7, 0xb13f9928, 0xff83874a, 0x81a86944, 0x49d008e6, 0xb64703d8, 0xa8599fa9, 0x2c1ad73a,
+    0x3463efa5, 0xff4334d8, 0x10a3b5ef, 0x5d02f626, 0x5464a8e1, 0x1b9652e4, 0x6a2335d4, 0x140f2c45,
+    0x9ad4f566, 0xfd086826, 0x4f8ce225, 0xe1710e30, 0x1b8242b3, 0x1b40b094, 0x54c841e2, 0x2666b2b8,
+    0x899a766a, 0x4beae6c2, 0xbd45b760, 0x7bc1f2ca, 0xa9034c90, 0xc7a44e77, 0x66dbc8e9, 0x62a67e09,
+    0xd7cabb11, 0x634435b8, 0xcbd8eb50, 0x9e76161a, 0xcc0ab56a, 0xccd4cbfc, 0xb05201bb, 0x9964679d,
+    0xe93e1c3a, 0xbfcce83f, 0x682e3660, 0x41300e24, 0x5ea28195, 0x9d024238, 0xa74b28f9, 0x3898a8ad,
+    0x6db0c73e, 0xd931b98f, 0xf925fe62, 0x550cd0dd, 0xf3948209, 0xe22ebb46, 0x3685c4d6, 0x5cebb43f,
+    0x40f3b1bf, 0x1b0de6cb, 0x949374f7, 0xe5a7ff2b, 0xdfddbf90, 0xc3b155a6, 0x9a103ddd, 0xd3302571,
+    0xbc433dd5, 0x392fd710, 0x9cc8b033, 0x783e70a3, 0xd7aeb72c, 0x0f7894a0, 0x9aa4fe20, 0xd297d81d,
+    0xb051b511, 0x906e1ff5, 0x09f19ad1, 0x59acf30c, 0xa915ba82, 0x0f603f17, 0x1c0c2b07, 0xd1bb05ba,
+    0x7e89ebf6, 0x99a5a5ae, 0x28247b73, 0xa7502f5d, 0x0efd1062, 0x93c85c55, 0xfcf291bb, 0x205969b1,
+    0xaf6b84ec, 0xbb2c56ee, 0x1181c416, 0xa567df1f, 0xd479b536, 0xee8a051a, 0x0aaf94df, 0x5dd55802,
+    0x8d5b39dc, 0x55bdd3ad, 0x712de4f2, 0x459305a0, 0x8466d263, 0x714b9b22, 0xbfa0269f, 0x80100e24,
+    0x6f4bf738, 0xb48c1365, 0x4f52df3e, 0xc57a19a8, 0xffb928ab, 0xe0fa3183, 0xaa1ec641, 0x60563df2,
+    0x15504e44, 0x848cea41, 0xf0383433, 0x873f1ca8, 0x69013ea5, 0xcebf3e42, 0x3a85012f, 0xdb996f12,
+    0x006c5248, 0x0418ec30, 0x24517968, 0xd2aaf729, 0x74f67967, 0x80b7b2ca, 0x903b1792, 0x57da8eab,
+    0xc5938f37, 0x20550cbd, 0x393d2c9a, 0x092e06ad, 0x253d52ed, 0xa2f07621, 0x54119250, 0xd206a6ec,
+    0xf066e415, 0xe488e2fc, 0x4a9a91a7, 0x7ea128a2, 0x67d28301, 0xb6482fa2, 0x8221ad35, 0x55463688,
+    0x6ccfec4e, 0x25135e31, 0x72d8dfc3, 0x38ed3c25, 0x44e05017, 0xf3972bc8, 0xdccceadc, 0x3a268e6a,
+    0x9aa762c9, 0x5c14943f, 0xc4504d5f, 0xf0a79470, 0x3504e174, 0x89dacb56, 0x18753fce, 0x9691c40a,
+    0xaeb55e1e, 0x751053bf, 0x6bdb556e, 0x7b54227b, 0x0c32fb00, 0x8b41b7f8, 0x97b8ad2c, 0xa25036e0,
+    0xd3d5a2f9, 0x2ea14d91, 0x4dc3c860, 0x3fc7bc24, 0x8ecad41b, 0xde1122c2, 0x63eff394, 0x10f08fae,
+    0x1e347045, 0x3f8d42ae, 0x67cfc960, 0xf1a6cf1c, 0xf6ce04fa, 0x19b71234, 0x7c1d57c6, 0x785d022a,
+    0xb296cc2c, 0x907d8d08, 0x918da39e, 0x0fb4fd90, 0xbb41151f, 0x29b087e4, 0x0b31a2ff, 0xbb28c499,
+    0x28fa9b1d, 0x856fb758, 0x8733249c, 0x5667e7b0, 0x23e59c74, 0xd54c9064, 0x9b8e40ac, 0x408da35d,
+    0xf3c8b336, 0x76fa7afb, 0xdcc38570, 0x092a446f, 0x1179b32c, 0x96e5e77a, 0x709ab8d6, 0xee8ea355,
+    0x6497a681, 0x1bd5248e, 0x8b2a2db6, 0x41ca5ab6, 0x238c1f03, 0xea16e723, 0xf34db641, 0xf0a463e2,
+    0xa437183b, 0x649d54ab, 0x43a32232, 0x3e284561, 0x7a296b6d, 0x5b1c8c85, 0xeb1e1086, 0xf2487dfc,
+    0xe30b8762, 0x2705ef1c, 0xa78e1d0c, 0xecc4eb61, 0x3582db7d, 0xa33d725a, 0x50d0435e, 0xf4b119de,
+    0x1a1fc0ac, 0x240f7867, 0x9aaf4f9d, 0x415b02ed, 0x830f4a4d, 0x02d5b52b, 0x0cc80703, 0xd04c4909,
+    0xcadc8280, 0xbb57f57f, 0xf8187acb, 0x4365ec0a, 0xe68f2d19, 0x59c17501, 0x096d8eca, 0x0704e4e0,
+    0x824f81f5, 0x723d56ba, 0x841090cf, 0xc4664af2, 0x4fb1393e, 0x9379f5e0, 0xf29459f1, 0xd1623ec0,
+    0xd7394443, 0xf53d2c93, 0xcc07c0f4, 0xc95a4faf, 0xa84d3a43, 0xe928396e, 0x5a741411, 0xcea45fb1,
+    0x0f37bbf9, 0x63508587, 0x75ae0226, 0x82d8a5b1, 0x435d9adc, 0x34f1af94, 0x86def8c1, 0x5cc86519,
+    0xddc75478, 0xe9ae0784, 0x576ba674, 0x0f1b2b3f, 0x7baeabd5, 0xc4c09d6e, 0x044c69e9, 0x7ed15d97,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000004611686018427387904 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3da, 0x19723a7f,
+    0x00000000,
+    0xe7db2f70, 0xf97787f8, 0x661064aa, 0xa6792e3e, 0xe75c7c67, 0xe5a58c7e, 0x5860af6f, 0x76031b18,
+    0xfe1c48e7, 0x1bcfc014, 0x65eafd33, 0x3af2fede, 0xd8a266eb, 0xb215b6d3, 0x64a4dbd8, 0x23640bd2,
+    0x8deeb74e, 0x5b6554f1, 0xeb63c0bd, 0x224016f8, 0x7e4329ff, 0xf2509d3f, 0x65fa883f, 0xb54980d8,
+    0x8e521c5d, 0x62f63e8d, 0x5c257e36, 0x60f9600c, 0xa593788c, 0xf3f28f97, 0xcf331054, 0x720a8784,
+    0x92a043b1, 0x51397642, 0x4d857447, 0xe13558d3, 0x8e575a38, 0x4fa3929d, 0xd1f6ede1, 0x1dcdfa66,
+    0x85da1fae, 0xaa380161, 0x595437f1, 0xfe60e356, 0x22cc7f79, 0xa38491dc, 0xc4761629, 0x931b3be8,
+    0xaea35658, 0x88c7c5b9, 0xeab99367, 0x5d5b3fe9, 0xa3710821, 0xf883318b, 0xc0c72aa2, 0xa93be0f2,
+    0xb58eab82, 0x70a0d619, 0x3f16d33e, 0x2378e917, 0x5c067eb1, 0xee7c2c43, 0x787d49dd, 0x7ebbb799,
+    0xd38ae437, 0x0b6f99c0, 0x7e7f8790, 0xf2d422cf, 0x8875c25c, 0xda2ca1b1, 0x5393c0e3, 0x23f24928,
+    0x80635477, 0xf536af25, 0x7d3aa5ba, 0x136ac335, 0xb23de33f, 0x3784fb30, 0x4969cdc9, 0xb862c267,
+    0xf3990693, 0x3839d73b, 0xed48a7b8, 0x5509af83, 0x198ef875, 0x57d4a0b4, 0x38996861, 0xf0a00ff2,
+    0x5a350906, 0x6409405c, 0x8739234d, 0x6b7ea0af, 0x0d9e2827, 0x805d4542, 0x09184f3f, 0x5a2d1758,
+    0x7d2bd4bb, 0x31c61b9a, 0x69281e21, 0xacfdf07b, 0x24535abb, 0x6493ac3a, 0x8f75ec68, 0x3a8dd3d2,
+    0x415d4465, 0x10c1effb, 0xaf0c31ed, 0x118beda6, 0xaed18cbd, 0x9c09d83c, 0xd77aa18e, 0x58c7db1f,
+    0xb4103f46, 0x290e7042, 0x40841916, 0xb3ec5d78, 0x1da89d06, 0x00bc83cb, 0x5b0c9520, 0x0b5e5e76,
+    0xc0ebb32a, 0x7efec87a, 0xa8a8ca8b, 0xabea3b02, 0xeea52bfa, 0x37c4e06f, 0x0f307f7b, 0xb9f9911d,
+    0xcb4a8161, 0x05396277, 0x968c6f4a, 0xf4d96f1d, 0x00a39959, 0xf6e2faf6, 0x39acfd0d, 0xe5945d92,
+    0x8c72491e, 0x13505b62, 0x61db79b5, 0xe09f8bb6, 0x9755bc34, 0xccca338c, 0x4c449513, 0x692c3e54,
+    0x44feab80, 0xbf4d18b8, 0x0b7b0041, 0xdb2f46fa, 0x9e06ebe6, 0x70f88b80, 0x37e83b8b, 0x4683c162,
+    0xe3d27bd6, 0x50f8ef02, 0x3b2657f2, 0xc826e9a8, 0x56845038, 0x2adaa538, 0xda52562d, 0x33e91ef8,
+    0xb39d1674, 0x0d1e46bc, 0xd1b9c0c3, 0x081d8e0c, 0x04de5aa5, 0xd17496cc, 0xe20e9037, 0xff2fe416,
+    0x3b73325e, 0x50681924, 0x1b9f4946, 0xb6c04aeb, 0x72dade56, 0x93dba9f5, 0xc66b424d, 0x4452961b,
+    0x00bf5728, 0x7163b60a, 0xfea19fcc, 0x2fec56f0, 0x573acdff, 0x1996e16a, 0xbfd93171, 0xdb44c26c,
+    0x5951c614, 0x7526d804, 0x9343430b, 0x3be0ecbb, 0x4cf934be, 0x6de292c4, 0x745b166e, 0x36b1c453,
+    0xf1372671, 0x67be6d4a, 0xe274fea7, 0xe8ea39b1, 0xe3af5b41, 0x68ba8250, 0x8aba0ace, 0xe8b927b2,
+    0x0012ac48, 0x0bcffa6f, 0x8aa13241, 0xefa40760, 0xc78e6f2f, 0x93e2eaaf, 0xf0465813, 0xb6ebacd0,
+    0xa8d2dfb7, 0xe5065206, 0x1bf83a15, 0x9a57c1dd, 0x53540109, 0x7ff49401, 0x8c6849c8, 0x4fd73c08,
+    0x126614bc, 0x52145ba3, 0x89e8393c, 0xafce710d, 0xbc7da946, 0xd04a46cc, 0xb6384de4, 0xdabeb152,
+    0xb7e801c2, 0xca8da66a, 0x7667d40b, 0x5b8272cc, 0x7cbbed7c, 0xf195d7c4, 0xa014c929, 0x8f44d6bb,
+    0xd7d2daca, 0xdd8a9126, 0x9d26365a, 0x6d3b19b2, 0x81138380, 0x39e4d5a6, 0x90fa585a, 0x00758301,
+    0xe05862a5, 0xc5aae972, 0xb1c6b069, 0xb46365b0, 0xbd8f105e, 0x995ba46b, 0x5fe42f2b, 0x8bb4c342,
+    0xc17b5941, 0xda8294e5, 0xee077412, 0x26d6412c, 0x42fc6b6a, 0x1e7b4a3a, 0xc279b872, 0x80a64ade,
+    0xf980fd43, 0x8339db2a, 0x964d8fc1, 0x00ab8b80, 0x2b409ba3, 0x6e30c857, 0xa60c94f8, 0x3382c996,
+    0x3808b94e, 0xa50267ad, 0xd11c4576, 0xa1f33af5, 0x47e0bcd3, 0x4071b1e5, 0xed189e38, 0x9f78db8b,
+    0x69c4b637, 0x71adf94a, 0xb547f8a1, 0x352a86d1, 0x2c97ed8a, 0xf67cd665, 0x2d19106c, 0x87dab112,
+    0x51d2ca47, 0x14df3be4, 0x5c3fe10d, 0xe0021b98, 0x2c994b9a, 0xc6372770, 0xc1ce7266, 0xfcf16a4e,
+    0xed54a9a7, 0x49996660, 0x23d32a13, 0x9048066b, 0xfe7d2d7a, 0x12c15d69, 0x9962990f, 0x9d4f7f30,
+    0x2fd7b797, 0x62cda19a, 0x14c0a7e5, 0x57473ad8, 0x8d3010bc, 0x5d9af05b, 0x59b50e30, 0x4394c82b,
+    0x443dd549, 0xa6008593, 0x81eb5bdd, 0x7fba7b33, 0x530a94d8, 0xd99e9491, 0x232ade3d, 0x88a73a9a,
+    0xac12a8dc, 0x3c0d77ac, 0xdfbd8f98, 0xb06b4aae, 0x1ba6f252, 0x05e5ff1d, 0x747ccd29, 0x0ad0950c,
+    0xbd94fa9c, 0x84c05f52, 0xa17fae34, 0x1415cac2, 0x5c6042d0, 0xb231c0c3, 0x874de13f, 0x599870ab,
+    0x60326458, 0x22ab2052, 0xe920859b, 0x04e0ded6, 0x911d4109, 0xf611809d, 0x2e7a786a, 0x25c31a28,
+    0xabce88a3, 0x8b2f331e, 0x416d0485, 0xe8413426, 0xbc2e0f59, 0xccebcc50, 0x08ff8af7, 0x7c729061,
+    0xbf1dd091, 0xaf3c71e7, 0x80d36e1b, 0x48205792, 0x5ed0fe8d, 0xafff9f86, 0xbaa0ee02, 0xfc8307a8,
+    0xd1dfb9a1, 0x56928451, 0x122490b1, 0x1420f08f, 0xdd9db8b5, 0x1a9c7804, 0xdc153e6c, 0x20452c04,
+    0x0f2f0bd5, 0x25062b73, 0xd467d0b8, 0xf9c89bf2, 0xf7be43dd, 0x38c8802c, 0xd8ffb661, 0xb60b0ec6,
+    0xd4dc3150, 0x7685d4e1, 0x020e34e7, 0x6453ae14, 0x70cf2b70, 0x5b5f88b7, 0xb5a72d89, 0x08498219,
+    0x95ac1a94, 0x8015952c, 0xd33880be, 0xe29b550c, 0xf41adc26, 0x754468f9, 0x51824eb3, 0xa7ebcf67,
+    0x53f41dbc, 0x743c0121, 0x7e45e8eb, 0x559d88f5, 0xcf414b91, 0x1a414050, 0x014538e1, 0xc566bbfb,
+    0x311d7573, 0x78a8d038, 0xfe9a6abb, 0xfeda36fa, 0xafbbde48, 0xb5dd62df, 0xe7d5659b, 0x6db93f1e,
+    0x445d59c2, 0xf9e159f3, 0x64291d7e, 0x5d4758af, 0x85d5be68, 0x5c66a7ea, 0x5577b3f4, 0xa53d1d2b,
+    0x66c53538, 0x3a15fa9b, 0x091cf8ba, 0xab596705, 0x3432ceb3, 0xe47e2b78, 0x6e1534b6, 0xa72e7758,
+    0x86547b8e, 0xfc8c85fb, 0xb92dec9f, 0x4800d36d, 0x9c8863cb, 0x295822a1, 0xed26699a, 0x42c2c8ba,
+    0x1106cb14, 0x638f1731, 0xd914df34, 0xed6334b3, 0x75e8755e, 0xd34bbe76, 0x05aca897, 0x87cb4575,
+    0x73018c05, 0x945fb80d, 0xf0402aff, 0x3b8fa6c4, 0x6c721ac5, 0x6f08399c, 0x80286395, 0xf144c222,
+    0x365275cf, 0xed8696a1, 0xd818fa73, 0x116238b5, 0x93b80001, 0x0b005952, 0x3a7416ac, 0x0e6e91c4,
+    0xb813a7a8, 0x5cddbb49, 0x309e2065, 0x6ce98e12, 0xee4a38ec, 0x82024a71, 0x4fc3c9ed, 0x346ea897,
+    0x49c0bfd4, 0x5c0fb4aa, 0xfcfe1185, 0xe19b9926, 0x359a3700, 0x7865510f, 0x71cee8ca, 0x40d782d7,
+    0xf9ef1958, 0x12e0c398, 0x9937c527, 0x16074404, 0xdcc36f70, 0xc4b911f7, 0x79888722, 0xe230493f,
+    0x98e76efe, 0x4e4fc2cb, 0xf222ed09, 0x076607db, 0x49874055, 0xc940b768, 0x12bed2de, 0x38408fad,
+    0xe99766dc, 0xd51f30eb, 0xbaec8b99, 0xe0e39c6a, 0xb32e7550, 0x1094da00, 0x237db4bc, 0xa8311373,
+    0x2467a020, 0xea50a2f1, 0x8b1ad5b4, 0xda55415f, 0xe4065975, 0x3c21f9e8, 0xa3fc7cb2, 0x01865deb,
+    0x1664043f, 0xfaf333f1, 0x1f6befd1, 0x020ec5f0, 0x3b968e1d, 0xc4164fc0, 0x86ba1a7d, 0x500356d7,
+    0x6ace644a, 0x1d8a05ce, 0xd466ad45, 0x27189f45, 0xae736091, 0xf11b7d66, 0xbdf1b8ab, 0x52677d07,
+    0xc2417e6b, 0x835b35ac, 0x2a0c3f99, 0x9f84dabf, 0xeabd005d, 0xbffd4150, 0x8294a115, 0x90e4cd01,
+    0x2cd31759, 0xe8db330d, 0x879ac7ee, 0x9c9f9570, 0xc7909962, 0x9cebc7b7, 0x1c1cef65, 0x2048e2fc,
+    0x77e886c8, 0xb9b168c3, 0xdbd5f9d8, 0x370f806b, 0x3103b124, 0xb0e4083d, 0x8fd4e4f9, 0x25fd48d3,
+    0x92f10597, 0x052d63b7, 0xeb792107, 0x589ee6bf, 0x296be64b, 0x47bd8800, 0x078f4a43, 0xd25278a2,
+    0x5ac7cbfa, 0x7c737933, 0x86b8b6a4, 0x2bdbf959, 0x9242b557, 0xae48bf78, 0x72e8147b, 0x404cf62a,
+    0xab1c6aec, 0x7a7a7d72, 0xcf9266a6, 0x5c2e74b4, 0x33f3f632, 0x39a05c5d, 0xac5eed3a, 0x8981b422,
+    0x7a75ee86, 0x6e024cad, 0x48fdcb3b, 0xcdf44c3a, 0x5222cc46, 0x5c5c055c, 0xf4476116, 0x1ca92a9a,
+    0x9acd1070, 0x1f2748a5, 0x9a0a74be, 0x6e517ab6, 0xe7d7942a, 0x8a043fea, 0xbe1f8a87, 0xd6e25839,
+    0xc9e6ebe7, 0xd799ed73, 0xf844bada, 0xf3ad0535, 0x6055e7c1, 0x62ef9da4, 0xd3a2c738, 0xff2b2492,
+    0xb54274e2, 0xc4102a22, 0x452332a1, 0x5d458afd, 0x208f846f, 0x30020b28, 0x46e983c6, 0x04262181,
+    0x975dca41, 0xc2936558, 0xc38b5a9f, 0xae857b40, 0xec7424d4, 0x1cd8ebc1, 0xe03e2b49, 0x6cedddc2,
+    0x317c2805, 0x16c73725, 0x001675a7, 0xc300646b, 0xc1052cef, 0xdb598215, 0xfb581810, 0x5b91835a,
+    0x77318490, 0x8aa17c1b, 0x09748817, 0x1c4a1f7a, 0x8ecf3aa0, 0xcba48e19, 0xf1084c61, 0x9eb47311,
+    0xdf7a89bf, 0xda7096e4, 0x714cb6d0, 0x7711d2b7, 0x39d075a0, 0x6c968d0d, 0x9979d1e6, 0x678ac262,
+    0xb14e661d, 0xc4ab7616, 0x46d858aa, 0xcf98fe93, 0x3742529c, 0x4bdb6698, 0x8ee1b889, 0xa6c3ba42,
+    0x794701c6, 0x157cabf2, 0xf316c9eb, 0xaac9e269, 0x5df8d663, 0x17dca16c, 0x4111edd6, 0xbaeda404,
+    0x5f674162, 0xbb485455, 0x539460cb, 0x513f7bee, 0xbea0eb31, 0x66042e6b, 0x38da3d13, 0x2bf01418,
+    0xdcce366b, 0xbc409c83, 0xe2aabb99, 0x00c2e928, 0x8d54bd80, 0x899eaff1, 0x9c501465, 0x240222e2,
+    0x8b808579, 0xe4fde96f, 0x94599fde, 0x647256d5, 0x8974b403, 0x2beaf0e3, 0x07881a0e, 0x5fc085ec,
+    0x1d8ae04e, 0xe306d2e5, 0xeee04ccc, 0x051f485d, 0xb2fe7520, 0x5ff7b7a1, 0xaff5d603, 0x44728d4f,
+    0x099eb43b, 0x5cd03eed, 0x5643937a, 0xeddf8330, 0x5a9eb86a, 0x75d8fc76, 0x9ecd573b, 0x6c0482ab,
+    0x19a362c4, 0x24ea225d, 0x404e7401, 0xf6501f06, 0x19339b6d, 0x88c61958, 0xda1ef35f, 0x16cc9433,
+    0x7c08e67c, 0x665b6404, 0x86c3e153, 0x541e2930, 0xe4644507, 0xc4ef8d55, 0x090e2624, 0xd0c17fd1,
+    0x404e6235, 0xea360aae, 0x6ddc2797, 0xb692c815, 0xc7f58b54, 0xfff9bc96, 0x6052ebc4, 0x6219b9cd,
+    0x4506cabf, 0x9ae84dff, 0x7c1e0ca0, 0xb02745a5, 0x2a396238, 0xa2acd023, 0x508ca0a4, 0x6b287c47,
+    0x0a796a60, 0x441394f7, 0x3d800a60, 0x1d9f9fb3, 0x2e9c0a9e, 0x4f41348f, 0xe8e61d1d, 0x97d71873,
+    0x019d9d5d, 0x142ac9ef, 0x7cabcc63, 0xd422ea41, 0xa6fcc244, 0x6b50b7b8, 0x652114b9, 0x61f09eb3,
+    0x0bde6b63, 0xbced67d8, 0x7d0e6ae2, 0x1cd55cc8, 0xa638a3a9, 0xd23684ef, 0x4a841b3d, 0xc87312e7,
+    0x2d2154b7, 0x683d2ca9, 0xa8215dfb, 0x0e69a51f, 0x7239da2e, 0xafad302a, 0x949080d4, 0xdc07bd33,
+    0x766da3a7, 0x18a465b2, 0xad1391ed, 0xbbe52471, 0x564aed8e, 0x6fa07fe7, 0x619d5914, 0x8bcdd9a8,
+    0xa9c4e88a, 0x4ca94936, 0xaa13e032, 0x0993529f, 0xf09896e0, 0xf428a6bf, 0x5a9db32f, 0xa576393e,
+    0xc72c5dc3, 0xb5b289dc, 0x425dc6c7, 0xa87834b3, 0xe71a206d, 0x8a793ef9, 0x67a64f46, 0xd4d85758,
+    0xd425ee61, 0x374d18bc, 0x3e0d03e7, 0xd66a0a5f, 0xa596ef71, 0x9c647973, 0x47b51ca9, 0xe7782de5,
+    0x51635e59, 0xcaa60f7c, 0xfab5ac73, 0xd0bef39c, 0x3df54b30, 0xd191e547, 0x6b59cddf, 0xc5fa10f1,
+    0x48ad3872, 0x48e7ce31, 0x7138b60a, 0x5a5980ba, 0x3a7466ba, 0x067e3c6a, 0x6ae9c2d6, 0x42fa2291,
+    0x7470b644, 0x0a3fbdff, 0xf4732ad4, 0x8fe37d9f, 0xeb067d11, 0x96b99ea9, 0x7cbde600, 0x12cde4f8,
+    0x73e9c2ca, 0x1e8fe74c, 0x38bdde00, 0xa770c99d, 0x6d7cfec2, 0x4ac7b1db, 0x5ce1dbd5, 0x9b4b88f2,
+    0xd4c05a4e, 0xf864fdb3, 0x7ba854df, 0xb36e0dac, 0x50ff6761, 0x89d81a69, 0x746f9386, 0x4c71d6c5,
+    0xfd9a68cf, 0x9ff18700, 0x82341dd4, 0x00c657c7, 0x8a8e82a5, 0x318ae6a9, 0x7b1e6962, 0xf57ec526,
+    0x248a620f, 0x53743903, 0xfc8a9361, 0x49f0abce, 0x2ce72317, 0x41407f55, 0x3f19c24e, 0xe66926bd,
+    0xd3971261, 0xdd9e72a3, 0x3e668b6a, 0xef522188, 0x05dd70f0, 0x60497999, 0x1f142cc6, 0xdf9d869c,
+    0xa4bcce79, 0x6acf907e, 0xaf69782e, 0x575cd31c, 0x25e5f154, 0x7f7b7409, 0xbb40a69a, 0xecc0fcb8,
+    0x569c1b9c, 0x4c1f1b49, 0xa3fee39b, 0x9db70150, 0xe6ad103f, 0xe9964bb5, 0x2c93c0b1, 0x228603d5,
+    0x4ec9549a, 0xd6f3fe82, 0x9aa14b8f, 0x9c7c14ca, 0xa13c2cb5, 0x77432c12, 0x2ee660f6, 0x87d7de93,
+    0x91dac62c, 0x30cfe8d2, 0xac4ba2fa, 0x34dba631, 0xdb9ce1a7, 0x065b597d, 0x73c21336, 0xffc0057d,
+    0x1790b95d, 0x5178b549, 0xfff3e19c, 0xaaed107e, 0x7a782631, 0x5b98e6cc, 0x8f9f8e2e, 0xa73e49fc,
+    0x8ab1cf36, 0x6a9ff1b9, 0x8c0de4b2, 0x805b36b3, 0x304d965a, 0x6d16884c, 0x442cf02b, 0xc7e0eb5a,
+    0x50d4e78c, 0xe31cf301, 0x3012ba84, 0x30f8ce7e, 0x1822a26c, 0x89d1bacc, 0x4eda064e, 0x537a754f,
+    0x374349cc, 0xf8e280fc, 0x98f8096e, 0x3e99174b, 0x789b8ad8, 0x3b08406e, 0xb59e4f65, 0xb9c3197b,
+    0x6cb62843, 0x11a70492, 0x865d6215, 0xb021e6f7, 0x6beed29d, 0xf0b17286, 0xbd301d68, 0xe18177b3,
+    0x5726ae72, 0x1d753381, 0x76baf513, 0x59aa36a0, 0xa679771f, 0x9af197dd, 0x933624b3, 0x1e95ceb0,
+    0x84775b82, 0xcdfe1e79, 0xa4d725ff, 0x6b4f554e, 0xfd18a5cb, 0x236b915f, 0xea7d3477, 0x92ef1d14,
+    0x46dfa4cd, 0xb06cf9d2, 0x1597897b, 0x8a981dc5, 0x7965eda5, 0x18bee870, 0x10b044bc, 0xb118e0e7,
+    0xa61b3678, 0xcc7b824b, 0x1a5e13d6, 0xe7cd55fe, 0x909d99b6, 0x66ceffb9, 0xc5f450b4, 0xec62d387,
+    0x48927c71, 0x96f81a3c, 0xd293fb4b, 0x28514864, 0xfa6d97a7, 0x24bffbda, 0xe403a39a, 0x4050097d,
+    0x0060c592, 0x1430dc21, 0xcbe216d7, 0x0e369772, 0xedb9624c, 0xb913010b, 0x2fb2eb0f, 0x2823e814,
+    0x1ae45138, 0x9684a39c, 0xd130e04d, 0x5b72a485, 0x17ea7e31, 0x77b754c0, 0x9669bdec, 0xbc0b3155,
+    0x1952d1db, 0x39a94a41, 0x9598ec41, 0x9a9b29a9, 0xcd6143ce, 0xedc7e061, 0x32634457, 0xab836b5a,
+    0x202101fd, 0xd14f7166, 0x306c66c2, 0x9075718f, 0x45ba8da3, 0xa8e945ae, 0xe8936b1a, 0xd85b14c3,
+    0x44d06e9b, 0xcca1f963, 0xd4e2ad4c, 0x531958e1, 0x7088e3b1, 0xc94bb25c, 0x4b53e56e, 0xc1356eea,
+    0x856fada8, 0x603374c4, 0xcff44d49, 0x935c8ceb, 0xcc41a16c, 0x430447e7, 0x7787164f, 0x5a1f8a0c,
+    0x3a4253cd, 0xc5571c54, 0xfe1fdf58, 0xca729ae6, 0x0edeed8b, 0xf3d71008, 0x67718ea6, 0xdeeb8539,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000002305843009213693952 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ed, 0x0cb91d3f,
+    0x00000000,
+    0xac459868, 0xe9426fc3, 0x804d71a2, 0x5b505dd8, 0xbb0ca1ba, 0x2ba9f2f1, 0xc8bd56e6, 0x481f8177,
+    0x92719434, 0x1479a07e, 0x429b53a0, 0x05cf7e2f, 0x321aeef2, 0xf7e8bce4, 0xa8a27b95, 0xd6081f1b,
+    0xff0b4bf7, 0x1026bbd9, 0x20f946b4, 0x6a9882c4, 0x014a3929, 0x0129e223, 0x868d2308, 0xfa0ef9db,
+    0xba4cdcc5, 0x9b45d1d3, 0xc3730cf2, 0xb8493667, 0xcac0a2f1, 0xb23e9d34, 0xdf3f455a, 0xaf7141cc,
+    0x93123ddc, 0x44253736, 0x30410b53, 0xf3abe716, 0xe608f5a2, 0xde83a74d, 0x7a4165ed, 0xa027a5f1,
+    0xb67be89a, 0xfd064826, 0x821b83d7, 0xeaba2cc8, 0x663512d5, 0x9ac1027f, 0x43897c78, 0x2e30967c,
+    0xbb9ca64f, 0x97e91bb6, 0x62b07285, 0x90955d2c, 0x6757efcb, 0x81cc6427, 0x4dbd2f18, 0xd4ad113d,
+    0x6e48a7c5, 0x5e8acd5a, 0x4c4ede55, 0x945e580f, 0xaa2fedc3, 0xf6ad053b, 0x777791a1, 0x069accd9,
+    0xdc8f16f1, 0xf99a6e69, 0xbf835b09, 0xbbc2df5d, 0xfbcf978f, 0x993a7871, 0x4034416e, 0x135860c8,
+    0x8c5a3e18, 0x93e16dfa, 0xcba0caf1, 0x1b4e4543, 0x4c684d9b, 0x5603c412, 0x5ab4a876, 0xdfece32b,
+    0xcd21f76d, 0x5d56f11a, 0x46493cad, 0x98f17959, 0x73dcd07f, 0xc34f2f1f, 0xda9683c7, 0x13ec1572,
+    0x1fc2fc46, 0xef1337cd, 0x91b55a9a, 0x034e57ec, 0x7721ccae, 0xc0a15d0c, 0x14e24cbd, 0x0d0ded89,
+    0x3c28e6e5, 0x15421346, 0x25ac07fb, 0xc1affbe3, 0x5c992ca2, 0xec9cf6ff, 0x98b5d491, 0x871873e1,
+    0xb006a046, 0xa6d2cc3b, 0x30c63e8f, 0x8717ed7e, 0xc72b3358, 0xc65ab982, 0xb1d69b3a, 0x1f904754,
+    0xaae49035, 0x8ad67a79, 0x08f86ba2, 0x6195a3f5, 0x6198f7bf, 0x4996460f, 0x29edaddf, 0x155c4e32,
+    0x9103c9ee, 0x4c97ba61, 0x78756911, 0x39c8e536, 0x0d525664, 0xae3dc395, 0xc3f4bd82, 0xd8190674,
+    0xb87f3bcb, 0x82068963, 0xfb35e1ca, 0x398268fc, 0x3381cb0a, 0xa0540b81, 0x8e56896e, 0x5ce18666,
+    0x680c83a4, 0xa3805852, 0x7bed9cbd, 0xbeeef7ae, 0x32658551, 0x7b29a3c2, 0x316d8550, 0xad16316d,
+    0x06b471f9, 0x45b5d075, 0xace7cb95, 0xc43bb5c3, 0xed777adf, 0xf650d3a1, 0x751f3817, 0xaf34728c,
+    0x98468763, 0x5668d897, 0xb110c2d8, 0x55221bd3, 0x75fe94a6, 0x320eb93f, 0x65b5ee94, 0xde58b101,
+    0x39dc2176, 0xe9e26c2a, 0x74173c5f, 0x63776a69, 0xfd5d3c4c, 0x5517b1f9, 0x3d968768, 0xd4c9955f,
+    0xd15b23f7, 0xf785f6f4, 0x05ad0844, 0xaf0fd13d, 0x04ca0807, 0xdd5d9bfa, 0x18854672, 0x6077b38d,
+    0x791ac496, 0xfd701a6f, 0xd28d4d31, 0x37c947c7, 0xfb1a175e, 0xf60624a3, 0x25b4092a, 0xf8a47a4e,
+    0x98c5dfeb, 0xc7377fc5, 0x70610c9c, 0x6a25743a, 0x7cd71e38, 0x52f8d24f, 0xbb845fc2, 0xd2c37195,
+    0x46075e39, 0xca4d7793, 0x2f398fd2, 0x4770e663, 0x3fc1f7cf, 0xf8c6da49, 0x63e4a8de, 0x3764b789,
+    0x9e6e2a69, 0x61d97aa8, 0x17cf4912, 0x0cbf3589, 0x90f7396f, 0x5baa5eae, 0x16078260, 0x64d88753,
+    0xc22e8ff2, 0x37587cde, 0x5aa7cefd, 0xfd0d63ab, 0x916d38e5, 0xdfe5ac4f, 0xf057a9c0, 0xd0610a54,
+    0x2a951372, 0xdaa3049e, 0xd4cb50f6, 0xce92f47f, 0x227058eb, 0xf0c66ffd, 0x1e7ef415, 0x73a8db93,
+    0xdee00a36, 0x01687c93, 0xedf19352, 0x9d2a97db, 0x0f09eacb, 0x04626329, 0xaa45c381, 0x4d1ae660,
+    0xada04698, 0x13e3fc64, 0x7f62a055, 0x7cd21a59, 0x482c4a3a, 0x78c2bd4f, 0xf0042075, 0x97c81bd6,
+    0xf24393ee, 0x586a731c, 0x0d6d17b4, 0xb810fe79, 0x38196923, 0x68932589, 0xfaea8227, 0x7421d14a,
+    0x382239fb, 0x76381d68, 0x3112e3eb, 0x1cacaa26, 0x2e57568c, 0x098d521a, 0xc8aa941f, 0x133f4e19,
+    0x106f9abd, 0xcee9896e, 0x260b98a0, 0x4392d3db, 0x840b6606, 0x225eeafe, 0x82d9d667, 0xfb299b53,
+    0x067f5534, 0xbc7b61f4, 0x61f08424, 0x5b1f46f4, 0xa38a7ef5, 0x8207841e, 0x722fe87a, 0x1fd19a5b,
+    0x6e7f25ac, 0x95fef59a, 0x84d30407, 0x63166220, 0x5584183e, 0x24f1f340, 0x8fe1ebf1, 0x72c2e324,
+    0xa1f955b2, 0x275c9bbb, 0x91186ca6, 0xfda1c886, 0x88ea2d91, 0x8d893724, 0xc709255e, 0x0a4f90e7,
+    0x36975ae6, 0x1f348684, 0xdcc800da, 0xe3aed22d, 0x77584195, 0x76df45a4, 0xb0d9baaa, 0x0a3351c2,
+    0xcc7b6ed2, 0x80b2af3b, 0x19d40fd4, 0xfbe6cc6e, 0x1c2f2f04, 0x5e0257fa, 0xe0957521, 0x08aee7ba,
+    0xd18a26e3, 0xf7b6024b, 0xe965305c, 0x92e09b9a, 0x075afcb4, 0x03e3bba8, 0x8b0bf31a, 0xcdfdbc03,
+    0xab9353fa, 0xf26036a1, 0x9f7cd4f4, 0x66dd786a, 0x38543649, 0x39a2a8c6, 0x4e29a61a, 0xbc19094e,
+    0xbcedfea1, 0xe9c4b89d, 0xdc4f3844, 0xcbe9b8dd, 0x8ba32c8e, 0xb5dc1914, 0xd036400e, 0xf4c9bef4,
+    0x73af3818, 0x66d47b82, 0xa8667871, 0xe28bf02a, 0xad914a09, 0xfb80d0cb, 0x32466e14, 0xf18c67cc,
+    0x845def01, 0xa5e2d8d9, 0x8e707341, 0xee11bb8d, 0x2786cbb8, 0x05d78d11, 0xb415a442, 0xcd34c1bc,
+    0x7a0e2824, 0x5985eb41, 0x1b4a6186, 0x199ab46a, 0xc46739b0, 0x0c8fc445, 0xde79b9e8, 0x9ad299cc,
+    0x94692ef1, 0xf52bed85, 0x0a31c427, 0xa83fd623, 0xea95c93f, 0xee4cbe03, 0x90e7a4ac, 0x08ea7904,
+    0xf6304b8f, 0xc8fcfeb0, 0x020208ac, 0x7a2b8309, 0x2014d7af, 0xc26aae06, 0x987f3944, 0x1e6a6f09,
+    0x86f23790, 0xcec78a39, 0x3b15459d, 0x302bb3a6, 0xfdd20880, 0xad30b942, 0x1c6cea9a, 0x96c35252,
+    0x8472b77c, 0xf52ae5e6, 0x22554812, 0x3f8555d4, 0xd199f6c2, 0x19c15fd1, 0xa62dce91, 0xd57bca6f,
+    0x5d8c7343, 0xea7595e2, 0x1fb8113c, 0x7991e5bd, 0x38f725ad, 0x7c0960d7, 0x78821ad6, 0xf6154fbe,
+    0xb896822d, 0x3782bf72, 0x2e5a7cd4, 0x6de0bfaa, 0x7d0cbb8d, 0x71f2d0cf, 0xb4563bbb, 0x84050393,
+    0x14912248, 0x44744a72, 0x2907da36, 0xd781edf4, 0x1f84d825, 0xacc97efb, 0x4001441a, 0x1c6be944,
+    0x9e310ae8, 0x1e3d8bbe, 0x13b9dc60, 0xce229f41, 0x5aa6dd0b, 0xbb439ffe, 0x91e3aab1, 0x5b1db187,
+    0xad9c655f, 0x8717ae5a, 0x1d2eaea4, 0xc5ca037a, 0xc1e04fe4, 0xe0d2cbc6, 0xeb57ac28, 0x28ec940a,
+    0xb735e0d6, 0x18afd0fc, 0x103ebfce, 0xd20bf44c, 0xbdd99afb, 0x1d584977, 0xcebca070, 0x4255145c,
+    0x88b2f579, 0x498c3df3, 0x04dc6b9b, 0x7dbf29f7, 0x14e4a2ad, 0xe1ae4552, 0x287e7817, 0x03fa8c45,
+    0x8b250239, 0x1cd37735, 0xde6b46e5, 0x48bc6af5, 0x8c95b7bc, 0x5cc3e2f1, 0xb596d3c9, 0x75e2d332,
+    0xea0dd852, 0xd96710ad, 0x37189746, 0x0b5ed208, 0x60f86b95, 0x4c371e70, 0x61adaa41, 0x640f1660,
+    0xe8b9ee4f, 0x403cbbcc, 0x914c4a39, 0x9b6e54b9, 0x43a3bfdf, 0x001504b9, 0xec4d3a2a, 0xde56fec9,
+    0xa0236237, 0xa97986c6, 0xe0212473, 0x105ce79a, 0x70e1e498, 0xa0c3229f, 0x7ad635c2, 0xd9363705,
+    0xa8685b8b, 0xd8b33080, 0xf620bd20, 0x6359a879, 0xb093bc34, 0x6d119bed, 0x13c9a714, 0xb8dcebed,
+    0x35f0cafb, 0xdd053161, 0x004d209a, 0xb2868de5, 0x43c2fe76, 0xe7518457, 0xa105321e, 0xd0b7b5fd,
+    0x0cca2518, 0x6f6f4bc0, 0x10e73f94, 0xee14c003, 0x8c335b6b, 0xd8aa061c, 0xa742d3a7, 0xfb7b4432,
+    0x7d7a4374, 0xd46ccd59, 0x11ce002a, 0xbb6aaccf, 0xfa728a58, 0x967b3102, 0x9cff411a, 0x04d6306b,
+    0xbd99af48, 0xe1fa45af, 0xfce1ca54, 0x856595cd, 0xe5e444b5, 0x5b3a37d9, 0xc2da8b15, 0x3e2f2a31,
+    0x0d9d4420, 0x09513ac5, 0x97ea479c, 0x81c0b924, 0xfbb871fa, 0xcef73674, 0x4c0738c0, 0x958f97dd,
+    0xfcab1f1c, 0x299ee85e, 0x405e8643, 0xe0719070, 0x8fa33014, 0x299cfe3a, 0xabb982b8, 0x9752b5dc,
+    0xc317480f, 0xbfc54d60, 0xd1302985, 0x2620a0ae, 0xe7e795c8, 0xc9df7971, 0x7adf4a94, 0x6d4570da,
+    0xc81ce7b3, 0xe4cc4e6b, 0x384dfad1, 0xd5d828ec, 0x11c0ec87, 0xa25dce52, 0x5618f41e, 0x9c9a4f7f,
+    0x116e21ea, 0x2d14d987, 0xe41b96b9, 0xa8cf98df, 0x2f790ad6, 0x6d726dac, 0xa982ff97, 0x9df02d50,
+    0x487582d0, 0x9158af03, 0x96ea4b66, 0x675e1556, 0x27a5da5a, 0xe7293890, 0x8a1956a2, 0x96cb71b9,
+    0xcdb31b97, 0x0c451af7, 0x9ab0161f, 0x43281c72, 0x6cd2e849, 0x0a012b33, 0xf6a31a34, 0x83f57a78,
+    0x70787697, 0x70d0539f, 0xceffea79, 0x2c9fa732, 0x52c6aad5, 0x5df4823b, 0xb084ef1f, 0x9b0ac1d8,
+    0x8cfb2189, 0x5f2fc0e0, 0x7a32b24f, 0x729a60e7, 0xe6e46db7, 0x35acfcaa, 0x28ed8d35, 0xb7f1c08f,
+    0x1d01006e, 0xbd978322, 0xa41ae331, 0xde955baf, 0x17dc2b6d, 0xd84be517, 0xdec02b8b, 0x77727ae6,
+    0x2ad81e0a, 0x965c8e93, 0x96582cfe, 0xb5d66a1c, 0x6ebe1faa, 0xb451c9dc, 0x8dbb7ca8, 0x9590d641,
+    0x00a5835a, 0x3d1ab8c5, 0xd0b63da9, 0x6be1cb59, 0x338ae264, 0x876e2841, 0x1fc1b82e, 0xf088b437,
+    0x61082dba, 0xb8b3716c, 0xbd90af96, 0xe6a92a98, 0xbcf32c22, 0xbdbd922b, 0x162dece7, 0xe032d0db,
+    0xf03734fb, 0x9b86f8df, 0xdb0eb5f1, 0xc1235ebc, 0x78df7ebe, 0xc52c870a, 0xba0e0fe3, 0xb5406dd8,
+    0x8c6c25bd, 0xc5027597, 0xd5753b1b, 0x1ea243d4, 0x0722d69f, 0x584981d4, 0x693b0f96, 0x240d3b68,
+    0x4f9e72e4, 0xe869eb22, 0x53a6c3a4, 0x8625202e, 0x44e2fb6f, 0xe4797229, 0x0c46ae78, 0x9d5972f5,
+    0x94bda622, 0xfc10099e, 0x531ca826, 0x7f77fcc4, 0xbfea7141, 0x5f5e1a75, 0xa2920c41, 0xb921e019,
+    0x3d48ec9c, 0x582d930c, 0xda518465, 0x4842e118, 0x1ffdca23, 0xa5c383e2, 0x62faa432, 0x0e87f76b,
+    0x45a17e8b, 0x7a7953c2, 0x8046e061, 0x96819077, 0xc8b215f9, 0x5a106256, 0xe604cc1c, 0x1e3c073a,
+    0x221e028f, 0xeaa58614, 0x279c3024, 0x5fa108cf, 0x240f551b, 0x4fdc1bdf, 0xa0e5d3ac, 0xe10b5ad8,
+    0x90cad485, 0x46cad3ff, 0x2afcb6c8, 0x56bf91fc, 0xd0223e14, 0x7d2f8e35, 0xe7162e87, 0xd170caa3,
+    0x0c724f7b, 0x31485127, 0xd2d7b365, 0x5a8d8619, 0x26727df8, 0x00b9b178, 0x4faeda83, 0x58312d97,
+    0x85205d05, 0x0ef9a1ff, 0x8f00f312, 0xd1d117ea, 0x81c57197, 0x8de81e16, 0x8222c2d9, 0xe9688722,
+    0x1705644d, 0x1b6ef9e4, 0xa0ad0f64, 0xf48db3c9, 0xcccf0b95, 0xe09ede90, 0x66387287, 0xc8201eb5,
+    0x9a497234, 0x666b9a6f, 0x4b0447b1, 0x3f37b7a6, 0x9ba0a58f, 0xa43ce938, 0x34548441, 0xbd2ededf,
+    0x5b0b11dc, 0xa4ffffb3, 0xff72780c, 0xa39fee1d, 0xe0a3eede, 0x1c0a9a17, 0x27ef4de0, 0xdbed9e00,
+    0x49a16fb3, 0x798b0a6e, 0x02cc8508, 0x38c34c13, 0x06a164e1, 0xdf73e107, 0x5aeccd7e, 0x51617fb1,
+    0xba85e0bb, 0x779aa2d8, 0x2f0636e6, 0x54dcd1fd, 0xfc7c5f9c, 0xd1010700, 0x3e78f36d, 0x8277e79b,
+    0x47d7aafb, 0x30df99f9, 0x55d4cefd, 0x1647336d, 0x9f4f6a0d, 0x26660902, 0xb6376a74, 0x080d6b44,
+    0xbb819d13, 0x4da75a28, 0x6bccb596, 0x7f170a98, 0xb2ad0cf9, 0x350300b8, 0xcc59d9d5, 0x76b491ac,
+    0xf8e4ae07, 0x34d084f6, 0xdcb5949a, 0x14e54ac1, 0x4f29c318, 0xc8e99dba, 0x8be135cb, 0x8192fb58,
+    0xb7b54762, 0x8ca08c7d, 0x67654e62, 0xa4f0c7a0, 0xe7626d14, 0xd1c32db0, 0x00ff5854, 0xf34e1d57,
+    0x17dede24, 0x73fd3600, 0xef7b7e74, 0xf1ddc0fb, 0x126b92bb, 0xacb61373, 0xb882ba7e, 0xc9e05288,
+    0x0674baac, 0xc4a968c9, 0x85e70862, 0xdf2f091d, 0xa945f40f, 0x61b603fa, 0x4048b2e0, 0x272cfa08,
+    0xfff595e9, 0x15f62fbc, 0x41c06e9b, 0xa10d27e6, 0x77892131, 0x7cd6c538, 0xeb046b40, 0x219924ea,
+    0x97256875, 0x9e246e58, 0x60650ae0, 0x9032e94d, 0x004c1416, 0xac45f193, 0x3dbc49f5, 0x8778f015,
+    0xa4318f0a, 0x843a1213, 0xf3fb1738, 0xc2ecefe2, 0xdac3a53a, 0x4739b76e, 0x7447df56, 0x553870ad,
+    0xe3053e5b, 0x60c247b6, 0x6e0ae3d8, 0x14cc4e08, 0xf4cae192, 0x7b7735c3, 0xfd8467e1, 0xf6a728d9,
+    0xe2aec6fe, 0x30cfe789, 0xb1d18d05, 0x5f32c92c, 0x63fd7b08, 0x9a38c13b, 0xc9846562, 0x76005ddb,
+    0xd0ed066a, 0xf19abb3b, 0xb25d5f1d, 0xc43a2d03, 0x91c8307c, 0x398d4299, 0x3b2c7435, 0x25b8e275,
+    0x58ba5115, 0x37e27f2a, 0x76fa8969, 0xa8d0c336, 0x407799d2, 0xe27936a8, 0x59eba127, 0x4c188a2e,
+    0x4624d562, 0x07109edd, 0x1032f603, 0x28cbd09e, 0xef006939, 0x8eed244e, 0xbecc75c3, 0xb1db3e92,
+    0xa623a358, 0x12c74998, 0x0816ead0, 0x81d4d73a, 0xcb9c1ef3, 0x23135b05, 0x34c8385d, 0xf852b7d9,
+    0xd2cc7ac5, 0xb43272be, 0xae8415ae, 0x97f21640, 0x60827468, 0xd9205749, 0x122a7274, 0xc86b17fc,
+    0x7e189b28, 0x7214a08f, 0x29e8c2a6, 0xf7427d13, 0x7b0291e2, 0x61f382a1, 0xddcbbfd7, 0x27a936e5,
+    0x5ddfdf5a, 0x6ccecf53, 0x4665f6ce, 0x9e274316, 0x86f93b90, 0x2d4d1b34, 0xdb1f1477, 0xef1ed3ce,
+    0x7710dcc9, 0xdcefbdae, 0xc7241c6e, 0x0347b04a, 0x02b9242a, 0x45d5d417, 0x55a8776f, 0x1a5fd63d,
+    0x40b581d1, 0x3d837ec8, 0x59112098, 0x0a72e07d, 0x026fef4a, 0x649ed387, 0x8ee81060, 0x4a749823,
+    0x8f802321, 0xa738b736, 0xcb743659, 0x395ebeda, 0x58f15a31, 0x37edc10b, 0x87653478, 0x4c166259,
+    0x0b6e9572, 0x298eef7f, 0x5cc44137, 0xbcbf651d, 0x33b80d13, 0x2b9c6429, 0x724c0a59, 0x4918ad7b,
+    0xbc1f2be0, 0xad252584, 0xc1ba72fa, 0x8422136a, 0x79542c05, 0x2c520e21, 0xf058544a, 0x4254111e,
+    0x3290d42e, 0x5f5e96a5, 0x5a69edb4, 0x79308dcb, 0xa127e091, 0x57059617, 0x6a6a3782, 0x57e5f75b,
+    0x5e4086c0, 0x6ac347c7, 0x24ac9299, 0x841b37e5, 0x83018411, 0x503c116e, 0xe0379a1c, 0x74ee3c65,
+    0xaee88802, 0xac791a44, 0x1dec6e0d, 0x204d08d0, 0x344d1764, 0x8950540d, 0x9d11f900, 0x2638f299,
+    0xd2596078, 0x507a8e27, 0x35a27c2a, 0xdd6e0a9f, 0xfa18bc62, 0x2c6d0687, 0x6581d00a, 0x34b31a40,
+    0xba643cda, 0xc7c1b990, 0xd58c1949, 0x6bb09df1, 0xed2630b0, 0x8e66fe58, 0x98c0f75b, 0x2f2e4c1a,
+    0x2c4a77d3, 0x23545fd0, 0xbf3c7c7e, 0xe71c9e9a, 0x9aeaf509, 0x1bdcd681, 0x0a834217, 0xeb16a874,
+    0xb03292cb, 0x72688d4b, 0x725d5570, 0x33ef31b8, 0xdbc7bd66, 0x8186ace4, 0xb708e899, 0xb0cc5e56,
+    0xfe987dc5, 0xcc3f4bb5, 0x87d9f024, 0x0e042571, 0x24fa2ad2, 0xc8690fa4, 0xaaf9d1ea, 0x6147e573,
+    0x93cf7657, 0x06167383, 0x0bf26691, 0xac9e235a, 0x4d1a7c27, 0x8fab1c43, 0x941a2a5d, 0xd981ae7d,
+    0xacef7e60, 0xd838a15f, 0xdd474764, 0xac20ee50, 0x1a69d9c1, 0xbd612af0, 0x26f6c335, 0x946b2b77,
+    0x18166b01, 0x03bd75f8, 0x4a54d8ec, 0xdd7db18b, 0x07cca113, 0xf3faf2cb, 0x736bddee, 0x2557b4d8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000001152921504606846976 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f6, 0x865c8e9f,
+    0x00000000,
+    0x947ebf86, 0x5e55424e, 0x28023ad2, 0xa78cbed8, 0x035e59fb, 0xfa5dbd11, 0x0e7fbec6, 0x12869af3,
+    0xa842135a, 0x4558435a, 0x3b373256, 0xa44ec3ce, 0xf3f6af51, 0xfd528a85, 0x45d2cfc0, 0xa16d97b1,
+    0x4d1ca6f1, 0x981ddb61, 0xef29a68b, 0x81edc687, 0x93837290, 0x45c7166f, 0xf99418b1, 0x93217dbb,
+    0x1e02da79, 0x885ae760, 0x4067c57f, 0xbdb920ce, 0x7da7c99b, 0xa47b5a87, 0x8672237e, 0xda0646a3,
+    0xa5f18a84, 0x0b233e69, 0x1d01bd97, 0x3d03187d, 0x8a0e6eb3, 0x612acb3b, 0xbaf21e0a, 0xbfd830aa,
+    0x9f10b33a, 0x0833076b, 0xeae75248, 0x14d1cbfb, 0x78682a59, 0x57aa4578, 0x3455dc60, 0xe37db596,
+    0x9861a178, 0xa71f9dd6, 0x52de83a3, 0xa20cabcb, 0x4ccd7c19, 0xd8055444, 0xc1f14501, 0xed82f05f,
+    0x4ea385b1, 0xa0ce6276, 0x7cf42147, 0x0a30ba68, 0x956fdf61, 0x7087802c, 0xa0634fe0, 0x8ca3a2ec,
+    0x159fba00, 0x544d89c0, 0x0b14cebd, 0x03d4ef78, 0xb3a349aa, 0xf503336c, 0xf5850776, 0x2b4734ee,
+    0x61f997e3, 0x84d312d9, 0xbcc4a0dc, 0xd34819cc, 0xe290f141, 0x78ad3661, 0x2955f16e, 0xaa184586,
+    0x2fe05a1e, 0xcbbe49d5, 0x7885fe55, 0x73abc18f, 0x84d9bdbe, 0x05535773, 0x8068f42d, 0xe42916e4,
+    0x54c8a972, 0xd7f895f0, 0x9d914208, 0xb9ed138b, 0x20143f63, 0x08e0b772, 0x1fd685e2, 0xf9bef8a2,
+    0xcb7dabf7, 0x05ee163a, 0xb0ec252d, 0x513e5647, 0x1e114a07, 0xd8540f76, 0x5d7e55b2, 0x51a3d0ad,
+    0x9a036ae2, 0x1b2d6926, 0xe211d3b9, 0x7a8a609c, 0x16f23db6, 0x7e2f4cb3, 0x39e39483, 0x744010f2,
+    0x9732d0ba, 0x6f73997c, 0x49fde8b0, 0xaab1e588, 0xf21d35d1, 0xfb986f67, 0x119392d1, 0x66ba5907,
+    0x1c14c8d6, 0x67acd720, 0xfeef8b37, 0x12c1ca53, 0x9881fd08, 0x58f1cf9b, 0xbc0aaeaa, 0x384eb361,
+    0xb9081fe3, 0x1c3db281, 0x75aa4f6c, 0x1139cfcd, 0xf3ee595a, 0xaaf82884, 0x38404bb5, 0x0341b350,
+    0xec69830a, 0x5e28981d, 0xa7afe656, 0x6a72d38d, 0x902c3894, 0xf539257a, 0xbefa2cc2, 0xa5705370,
+    0x07ad74d4, 0x2c48a66a, 0xedf9d72c, 0x2932dff5, 0xf5a1e50c, 0x9c2db9a7, 0x707b32f2, 0x4d486979,
+    0x08e24eb6, 0x2c5a4d61, 0x95321eb5, 0x62648f6f, 0x031c8e2f, 0xc554cae9, 0x2570f441, 0xa03e0a8b,
+    0xf68bff5b, 0xe415971c, 0x94d6fb4d, 0xfe6a8b7f, 0x45d95e59, 0x5980307d, 0x5a7e02d0, 0x7c9f81ed,
+    0x98be00dc, 0xc9543ca1, 0x23d5b1eb, 0x5770d587, 0x81136533, 0x10c00789, 0xfcdca1b2, 0xc47a85f6,
+    0x1a23751c, 0x480d8807, 0x455c340c, 0x40b25c2e, 0x6e01b79a, 0x937aa142, 0x4ba9ebfe, 0x27de2560,
+    0x4f3e342b, 0x9e31cdfd, 0x555bbf92, 0xfd115040, 0xd1d6bfee, 0x9d8359ab, 0x55fd1a87, 0x77dd1ea2,
+    0x6a5528cf, 0x4bbae88c, 0x1da646ae, 0x2d6905ee, 0x97037bae, 0x7097c034, 0xc8b3c504, 0xe496698f,
+    0xff843f7e, 0xe6255e99, 0x0d345062, 0x130ab24c, 0x50423d50, 0xc102a6a1, 0x8fa373c8, 0xb61db4bb,
+    0x76d56ee8, 0x6f92b25a, 0x9f20a738, 0xe7767e0e, 0xae724c32, 0xb498b135, 0xa98d7e62, 0xcc86300c,
+    0x63ef5837, 0xd4e4b94f, 0xc078f9e8, 0x41f3b55a, 0x8d3d2c02, 0x302b64b2, 0xb70ac723, 0xeba176c6,
+    0x61315073, 0xf709d704, 0x1973324f, 0x42f83aaa, 0xd803efa2, 0x55dd4cef, 0xad98ff4f, 0x5f48bc1d,
+    0x16a90d67, 0xbcfb7fac, 0x076da7da, 0x349a84f1, 0xab12b3d4, 0xd62e9f48, 0x5b80bc3c, 0xf691e5d1,
+    0x75c8fe70, 0x3dff2ae6, 0x067016fc, 0x8b3f670f, 0xf0a35761, 0x880fc7d0, 0xea646dc5, 0x26344ed7,
+    0xc5e203cd, 0x8c6919ec, 0x8b67b6eb, 0x606185a6, 0xafeef040, 0x7d5d1491, 0x7e49230d, 0x5f7e1aea,
+    0xce4fee73, 0x4dc1a742, 0xb9d64913, 0xe9beeb56, 0x4cdd6b7a, 0x57e25c1f, 0xaee4ae88, 0xa36280ce,
+    0x3a2a5b1c, 0x97cf66de, 0xa576db79, 0x23c00eaa, 0x871fe72b, 0x174ca02d, 0xcacc6ea1, 0xd8187b52,
+    0x97d77cca, 0x1891a4f8, 0xa952bf69, 0xd8dc12f8, 0xbd51919b, 0x427fa71a, 0x03ca1316, 0xfbef951e,
+    0x2fcf7844, 0xeea6b40e, 0xfd199c8f, 0x7f7ab463, 0xafb02c20, 0x48ea9785, 0x588142a2, 0x6c66a61f,
+    0xbddc15df, 0xd81f129b, 0xe7ce8a28, 0x514ec6e6, 0x0ceacdf3, 0xe954ed2d, 0xe2b128ff, 0x82b83b67,
+    0x1f313c3c, 0x5ee49c53, 0xf6ba4d70, 0x1979f1e3, 0xd43d2e06, 0xca0e1354, 0xb64794c5, 0x98df8c8f,
+    0xddc58a0a, 0x4b59c4ef, 0x23bf3e3c, 0xe7e62de6, 0x9fdaa69d, 0x8c524517, 0xac2338ea, 0x68c8e1e1,
+    0xeb4f982e, 0xa0ebef3a, 0x52ecfdc0, 0x8235a936, 0xe96ad36b, 0x394c97ce, 0x6ae50a52, 0xa8e405d3,
+    0x1f2ce91c, 0x1b176569, 0x61d709ce, 0xa7aba454, 0x26726cb6, 0xefe1b8d7, 0x60debd57, 0x77dacfcd,
+    0x8782f6b6, 0x31157aac, 0x0519f022, 0xe1e1736a, 0x733fa359, 0xe48c7271, 0x0ac9aa78, 0x146c6956,
+    0xdf655c57, 0x59a1fd13, 0xaa37c695, 0xa7c96668, 0xbf1e8428, 0x18661eef, 0x3bf990fe, 0xd5cb8888,
+    0x744c7966, 0xcb9233de, 0x25e27289, 0x71d77b29, 0x3c40bcaa, 0x71c60958, 0xc7a079f3, 0x1ea2dd50,
+    0x4a6e8e04, 0x4a0d2190, 0x4d2b9a03, 0xb69fd278, 0xdbc7bc75, 0x838f78e1, 0x0bf0989d, 0x9eb69c92,
+    0x4862d871, 0xaea32181, 0xa4c9d206, 0x03456b55, 0x4a2d9dda, 0x0f238ca2, 0xfa95aaef, 0xd680d275,
+    0xa631f82b, 0x2f7595be, 0x9686882d, 0xa76af19a, 0x77584c11, 0x8f8d6a88, 0x7d93d052, 0x5c6b1c21,
+    0x6a4684f6, 0x70d0669e, 0xdc43ccd2, 0x4277d897, 0xf4e95d3f, 0x80475cf1, 0xebf4f00d, 0x5da6b603,
+    0xd589327c, 0xf55065ca, 0x064f8b45, 0xe304279f, 0xe9c155c2, 0x1c145587, 0x3c1363c9, 0x26bb6a9a,
+    0x9c6ac634, 0x9a155314, 0xa8f9aaba, 0x19f2c66b, 0x3fee0e81, 0x6d5715f2, 0xce7a14a3, 0xbe97ac42,
+    0x85e61703, 0x70ca2667, 0xba63c957, 0xcea45a13, 0x7b60590b, 0x93975464, 0x3e0b04a9, 0x8924de36,
+    0x596801ae, 0x468c46b8, 0x3781fb7e, 0xe481f9a0, 0x5a2cdf34, 0xaeaa3aec, 0x44cef1ff, 0x7ee049f2,
+    0xa7b4ea10, 0x7f345d40, 0x39ee9488, 0x94aafc33, 0xc2706fee, 0x9a758867, 0xe178b1d1, 0x01e0168f,
+    0xc9b5a657, 0x89909349, 0x104d2a79, 0xe98fe8e7, 0xf4b385db, 0x537d85f2, 0xd71b3344, 0x99cd5b16,
+    0x09671e72, 0x61a690ad, 0xba2d5726, 0x33d8fbce, 0x55c4ce46, 0x1e734846, 0xccd2e028, 0x97c12706,
+    0x8e2a047d, 0x1e00287a, 0x345b6b1c, 0x495c7bc7, 0xc6453a43, 0x06e8e95d, 0xab9b4b22, 0xc9971ee2,
+    0x33c4d0ff, 0x7066dbfd, 0xcbf4cc88, 0x3e2ce672, 0x7eef0aaf, 0xdf055ecc, 0x251b7d79, 0xbcd07e84,
+    0x6800315b, 0xa7d69e71, 0x50a0eff8, 0x7fd43acc, 0x552bd5a1, 0x880feb5e, 0xcb7e7b0f, 0x69496685,
+    0xfde5c050, 0x0d928173, 0xa8325665, 0x5c086c22, 0x054aab63, 0x2c495828, 0x186b0c47, 0x56fcf3df,
+    0xea60aa20, 0xe39486b2, 0x44fcbffc, 0xe06c18a1, 0x2c0f66b9, 0x1ede8044, 0x44234b2b, 0x01b546b8,
+    0x9014e92d, 0xf24878e0, 0xe4c7b907, 0xd72fa4cb, 0x92b8537e, 0xf86c38fe, 0xf7eae48e, 0x2548d3dc,
+    0x614f47d8, 0xa178e365, 0x0d28031a, 0xb8eb6412, 0x0db00ae0, 0x0ce58039, 0xd8e7d981, 0x234eb419,
+    0xdc7d57c1, 0x99fef2f5, 0xe941d60f, 0x5469a386, 0xa11727b2, 0xe012bf7d, 0xe1a8ab92, 0xf49836ce,
+    0xc2ede0b3, 0xc6822f26, 0xbf4e8b30, 0x7eac82bd, 0x27569d2f, 0x7c6d59e7, 0xa8d21b88, 0x9fd48c02,
+    0x6048d317, 0x91be5a91, 0x06c219c9, 0xd309b89f, 0x4ddb1230, 0x86ff575c, 0xd36db100, 0x2e63986e,
+    0x9854cf8d, 0x183db7e6, 0xb1d9cd32, 0xfe459e80, 0x26142465, 0x8efa8ee4, 0x40c9a3fa, 0x90ce570d,
+    0xcde59361, 0xdfac2b30, 0xcc5f90df, 0x36821f77, 0x01f35712, 0xac0705a8, 0x4f253437, 0x9aced1ca,
+    0x32115bc2, 0x8a011d12, 0x051329db, 0x8b301a6e, 0xd4d4b1b9, 0x36a24756, 0xe01c711c, 0xbb22ed2b,
+    0xad6e85cc, 0xcd7a74fa, 0x9d99067a, 0x078e63ea, 0x226d0f57, 0xabcfb6db, 0xa588c545, 0x66e63e4f,
+    0x1e9604ee, 0x272e7c4b, 0xe1b98674, 0xc5297293, 0xd588f864, 0xcf9344a8, 0xbdd5228e, 0xaef291f8,
+    0x12030dfa, 0xbc6a38c6, 0x46e8a78b, 0xd22461bf, 0xec1827fb, 0xe09efac9, 0x1541cfb7, 0xe72fa9a1,
+    0x6263faba, 0x31994ffb, 0xf50a9dbb, 0xb110d1ea, 0xaecd6933, 0xe902ac2b, 0x6ff694fa, 0xaaca12a0,
+    0x92731391, 0x5ad1a252, 0x4687852d, 0xfb75780c, 0x1ceb177f, 0xd18a3988, 0xc7238164, 0x244a8f6d,
+    0xe0aa277a, 0x3ff28e24, 0xf3a63f16, 0x775fbf72, 0xa2aa5662, 0xf29a240e, 0x3b4c9085, 0xa43dfbfa,
+    0x64cff201, 0x4175c57c, 0xf4d8a18b, 0xee61b004, 0x06b1b4e2, 0x72d01e95, 0xc90960bd, 0x9d58e59d,
+    0xa4ecafbe, 0x2a1e6707, 0xf3ad8ed5, 0xfc6a0b07, 0x496a2e71, 0x185c7372, 0xdade8fdd, 0x9177e796,
+    0xf509d913, 0x56507d3d, 0x41a8384f, 0x6528bd69, 0x17aee4c8, 0xa9927f91, 0x3da39710, 0x9c6b5415,
+    0x331382f2, 0xd48dd563, 0x861054d1, 0xe3b58b9b, 0xb20a1877, 0x6536a4ca, 0x8d349d64, 0xed067329,
+    0x911bd134, 0xeea17add, 0x55864d26, 0xb6ee063c, 0x02b5d1d4, 0x8ef289d2, 0x73041dfa, 0xcb080e6d,
+    0xc1e1f089, 0x6a55354e, 0x6b69eee4, 0x65a15379, 0x933d42ac, 0xbd20b98c, 0xf1f5464b, 0xbec3b5f5,
+    0xae68e2fc, 0x3bbc5c1c, 0x76e1cf33, 0x29d420dc, 0xaf637589, 0x52de9117, 0x853651ee, 0x89cf2765,
+    0x87314065, 0x93d6c11f, 0xcc7adbcb, 0xea5e48f2, 0xad398866, 0x51aa03bb, 0xc1221598, 0xb76261ce,
+    0x673b2618, 0x758aa9cb, 0x76d3e36a, 0x2dd16bd9, 0x58240e91, 0x9f27ff7d, 0xa093c698, 0x761de89c,
+    0xbda3b7de, 0xb3f6ee6e, 0x11533eb5, 0xd4ae4c20, 0xc2236651, 0x5fdbd6e0, 0x6e02cfd2, 0xe36bd619,
+    0xfb5fb2b1, 0x0a1c1299, 0xc7fb4331, 0x44e847f7, 0x4e7d4292, 0xe866f0fa, 0x5f1419a9, 0xcfca04da,
+    0x5ec1446f, 0x4281483a, 0x9a85b254, 0x73ac4cf8, 0xcd1f4804, 0x87d25af3, 0x6941fa2c, 0x2ead7bdb,
+    0xaddf906a, 0x2f37bc41, 0x93836418, 0xd3a96f1a, 0xdbbe732a, 0xc217fdde, 0xe691c870, 0xe045b584,
+    0x948ff00b, 0xc359cdc3, 0xd187aa1a, 0x1647aa82, 0xe54264e0, 0x51a71c48, 0xf8773db4, 0x704e5464,
+    0x06ad5842, 0x5f3a0424, 0x4ff6877e, 0x1978725d, 0x6c84e01e, 0x128c6b1d, 0x287d0d8d, 0x21c5ea4c,
+    0x6427fa8a, 0xf84ead1f, 0xf6e40bdf, 0xf6438918, 0x44693254, 0x60cee7b5, 0xf97ab53f, 0x01e01183,
+    0x4295ed96, 0xb9581142, 0xce9a342b, 0x39979c5c, 0x8f8d3d70, 0xa179d6f9, 0x8d13daa4, 0x5a9172ed,
+    0x53bffd85, 0x987027d2, 0x9184d827, 0x2fd5dd6e, 0xf7e3f3da, 0x46e8cc87, 0xfbc03b83, 0x1302cbbf,
+    0x822c91a3, 0x85d1023b, 0xda2b9714, 0x9143be25, 0xb47f8d93, 0x3817740c, 0x1afdd6e9, 0x9ab4cdcc,
+    0x4f0ec865, 0xe889b7c5, 0x71839a83, 0x3ea4afdc, 0x7f414a34, 0x8444d690, 0x4deea2a6, 0x83970595,
+    0x005281a1, 0x77fc97bd, 0x183f2de9, 0x63528b47, 0x6263b804, 0x5a0bb850, 0x824e9600, 0x12222436,
+    0xcbe01291, 0x43736a29, 0x46c90063, 0x62885b1b, 0xdf2f1eac, 0xef6022e9, 0xda45b653, 0x9c2a3924,
+    0xb261c8d6, 0xb594806f, 0x2bf02323, 0xd478b391, 0x894f88b3, 0x84439f7e, 0x5a85c823, 0xe80ee275,
+    0x14925f20, 0x967f67e8, 0x9f2634ae, 0x7dcfd4a7, 0x394cd331, 0x11e1c561, 0x277dd5a0, 0x00633bf3,
+    0x272afdaf, 0x0e5ab72e, 0xc04e0952, 0xab13a2d7, 0xcc40b480, 0xe765dd9c, 0x963ce763, 0x345e6bd5,
+    0xf14a06b8, 0xbbc63032, 0x1e6faf3f, 0xe494424c, 0x80b9eb48, 0x6060bbd5, 0x56e06e34, 0xa628f434,
+    0xc38d147a, 0x64a748a7, 0x8e443232, 0x53dd417b, 0xff93eb2e, 0xba634af5, 0x7d08aaca, 0x07351068,
+    0x1906b277, 0x1d43e86a, 0xddabab98, 0x68d98ef6, 0x392b3185, 0x39294641, 0x714213d1, 0xd5f1984e,
+    0x8e33f118, 0x8c645dd2, 0x856920f8, 0xd576e14b, 0x2c7e8b1c, 0x21df1c70, 0x3db6866e, 0x518a7fa1,
+    0x638962d4, 0x0cbe532b, 0xaf59fd52, 0xda5861e7, 0x403e71a8, 0x76aa6308, 0x445e2e90, 0xcdc2f322,
+    0x8ae27469, 0x3324697f, 0x8ae29b27, 0x14d8351f, 0xf421fee4, 0xb04c17f4, 0x6257d889, 0x8753dacf,
+    0xa0f88121, 0x34dd0ff4, 0xf2f5da75, 0xecffd561, 0x2119a013, 0x684a8d4b, 0x8cc4d302, 0xe6962298,
+    0x76b0ea19, 0x4b239278, 0x294ee315, 0x360183fc, 0x14c133aa, 0x8b095d29, 0x9c22e58e, 0x8f462d6c,
+    0xa9810c22, 0x848c121a, 0x3b41894e, 0xb53ab456, 0xd6b10ae0, 0x176814ac, 0xd3f30cc6, 0xbc7f8da7,
+    0xb40bacd4, 0x56188817, 0x9497b211, 0x33cff80b, 0xffd83eb4, 0xf971c3f3, 0x11864fa0, 0xbec645d1,
+    0xd347c98d, 0xfe993dca, 0xf4209675, 0x0c068f36, 0xbc7ca222, 0xf28a9bd4, 0x8c810749, 0x91080bf6,
+    0xc8ee9a9d, 0x1a1c9657, 0xab23875f, 0xa766ca04, 0xa5172ac8, 0x8fb4c6db, 0x5922b9d9, 0xeaeee72b,
+    0x1c9b3ba3, 0x5f8538d4, 0xbc110893, 0x25d49eff, 0x3494534c, 0xc7d76a8d, 0x20502e50, 0xb66d5eb6,
+    0xd0735288, 0xae067acd, 0x5aa2fe99, 0x7c33aa6e, 0xfe30155e, 0x6d100c53, 0x8a04c001, 0x4ee11f9e,
+    0x91765a4b, 0x4c55b74e, 0xe8cc9e77, 0x19b9b8d6, 0x140ab1e5, 0xdc85d1d1, 0xef18c833, 0x1227da5d,
+    0x4d71940f, 0x9e0297de, 0xcb48c774, 0x08adfdd7, 0x9fc3671b, 0x6268aedf, 0xab9cf7ee, 0x2c909a11,
+    0xb068d7c6, 0xa1a81b5d, 0x338a83e6, 0x9b7d94b7, 0xc133fe06, 0xe54f998b, 0x831ca05b, 0xaf92c729,
+    0x069fd909, 0x1c59f511, 0x7e8ba192, 0xc6e5774f, 0xfbd1d0fc, 0x71af950a, 0x974babad, 0x30583037,
+    0x183f5e0d, 0xc40ee015, 0xf0844b81, 0xf89979a7, 0xdccb12ff, 0xf6ee4466, 0x87b69119, 0xf3a25e86,
+    0x760c763f, 0x0294f594, 0xc90c7462, 0xf50db234, 0xe4a0449f, 0x4bd790df, 0x7855e211, 0xe9d697cc,
+    0xcc179f66, 0x83dfa854, 0x279697e8, 0x39db5e3b, 0x638f284d, 0x4ff729a7, 0x83afe399, 0x55f364dc,
+    0x8924d53f, 0xa52bb993, 0x5e6a0650, 0x6e708214, 0x55b690a9, 0x0eb0d498, 0xe0c16759, 0xf60ffa83,
+    0x766c13ce, 0xd15a9972, 0x964b52af, 0xdc50ffff, 0xf14e5558, 0x5e0c8ac6, 0x9f30fd5d, 0x8e2f3d02,
+    0x8216a2d7, 0x391775e5, 0x599af8f9, 0x8a44185e, 0x2ce65e58, 0x0da6ed13, 0x1c073ce9, 0x81eab48d,
+    0xf926e152, 0xda5c4a64, 0x5ce8084b, 0xc2cd4c6e, 0x1250d893, 0x5453b191, 0x5d7d8d0f, 0x9be1b401,
+    0x0aa78ff3, 0x9910c77a, 0xe548b0ba, 0x3ebd3121, 0x44e38dcb, 0x87e28339, 0x7c775c56, 0xeab11d28,
+    0x3ce0679b, 0x85fed18a, 0x88bbcc6c, 0xa88e66ad, 0x1904156c, 0x96aa21ef, 0xc1a51285, 0x0ffcf6b3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000576460752303423488 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587b, 0x432e474f,
+    0x00000000,
+    0x89de0303, 0xb2310b15, 0x87ae84e4, 0x5529c693, 0x54c2b8ca, 0x80a48af2, 0x6c9ae3e2, 0x873fe440,
+    0xa393cc55, 0x5f6f3037, 0xc323dc68, 0x72a04396, 0x3b6ad3b8, 0xfea2e9a5, 0xf5616444, 0x99b8f311,
+    0x8e1c6124, 0xc300c7aa, 0xb08e2254, 0x31da165f, 0x0e1ade26, 0x0ddf8f62, 0xbd6e01ef, 0x4707de74,
+    0x933cbb11, 0xca46df85, 0xcadea5b7, 0x9ac07958, 0xc3f7bfd9, 0x65cc730a, 0x8d3f2232, 0xbfb05948,
+    0x4252d1d7, 0x1e6819ee, 0x4d6f66a5, 0x9fd41a94, 0x7bfb15d6, 0xaec41650, 0xdfa2bf33, 0xdf3ac941,
+    0xdd641282, 0x30230a97, 0xa96ffa7e, 0x6b07659e, 0x931db197, 0xc3c8c1e6, 0xd8416f99, 0xbf89adca,
+    0x7b74a45c, 0x5843827f, 0x1d0856d9, 0x1a808184, 0x31f6562f, 0x121055e9, 0x4d0b314f, 0x87b4ce92,
+    0x56e57283, 0xc269d397, 0xd644abc8, 0xbaf871ce, 0x3c7ec5e7, 0xa65d27de, 0xd46b733d, 0xf5124ca4,
+    0x638aad1d, 0xd3cf57fb, 0x3eb9522b, 0xe32221c3, 0x37856bc9, 0x2547f368, 0xd3e29c02, 0xe2f775a8,
+    0xc95891bb, 0x8e338198, 0x754baa87, 0xa412b7a1, 0xf8eb4709, 0x67959b7f, 0x4f396b43, 0x0dcc9a27,
+    0x292e189e, 0x45cc3945, 0x3a95413b, 0x2a68d370, 0x3b2db9f6, 0xa31411d6, 0xa4bfd514, 0xac757761,
+    0x52925d56, 0xde37663b, 0xf5325042, 0xfec2e21d, 0x17814a62, 0xf9f1e580, 0x64347e29, 0x4854df94,
+    0xc197d5c4, 0x4abf9526, 0x1adc0cd9, 0xef2d507c, 0x7e4f3239, 0xc85a7018, 0x3d424dba, 0xaf569a8a,
+    0xbbcb78d4, 0x02d6b70b, 0x19fe435e, 0xc33efa33, 0x71dab428, 0xf829d2bd, 0xf2573386, 0x5883ab36,
+    0x8f08501f, 0xbd30fd75, 0x3b119dde, 0x0285a99d, 0xb2bc4650, 0xdd81cfb8, 0xa6cd1572, 0xd6bf534e,
+    0x0aca39af, 0x6db9731c, 0x94e664c9, 0xb49a001f, 0x6f3de245, 0x45e64f8b, 0x41bf2ccf, 0x08fa1b88,
+    0xca3a4d1f, 0x2c6b785f, 0x47b4d30a, 0xce20a958, 0x008a64b1, 0xcbb72e72, 0xdc92add7, 0x91c482dd,
+    0xa811dd3e, 0xbb2648cb, 0xc41b5307, 0xf13d51ea, 0x0020fad3, 0xdff11b5c, 0x29e829ce, 0x14b4363a,
+    0x04754f3b, 0xa9667119, 0x68f99d1d, 0x9cec2a39, 0xe6fd5eee, 0x2a536e95, 0xdbc00b97, 0xc1ca9be2,
+    0xd836a103, 0x251c412f, 0x399811e8, 0xd2cd8590, 0x3330b883, 0xefabd01d, 0x20e7c1d3, 0xd717ef3b,
+    0x34d1abec, 0x83e0902a, 0x6ac5dcfc, 0x33ad356b, 0xd8efb963, 0xbd78cbc0, 0xa0a1509a, 0x83a839d7,
+    0xf42ce4cc, 0x9502ea4c, 0x46e332e1, 0x99feb090, 0xab581201, 0x9d073de7, 0xe08dcd35, 0x75f23e61,
+    0xf40e900f, 0xd482ec58, 0x355e8861, 0xad6388fb, 0x44b5aeea, 0x8d453060, 0x39dc5d75, 0x7b54e83f,
+    0x6b6c3a02, 0x14e0a569, 0x16478ab6, 0xd5bfbf14, 0xd34bddd2, 0x4297eec1, 0x275f1b80, 0xb514b1df,
+    0x9ca2d6a9, 0x2eb37c20, 0x03108fe3, 0x0b0436cd, 0xec0692bd, 0x20a869ed, 0xb64f394a, 0x8e64bf6e,
+    0x0ed6d7a9, 0xde957c8b, 0x4798acd4, 0x6777047d, 0x99983e7a, 0x4fdf7de9, 0xdb7cd4c6, 0x3725d4e1,
+    0xfa3e6346, 0xd643fa42, 0x91e155e2, 0x9313333d, 0x3357e854, 0x904e1280, 0xffac9315, 0x4d422451,
+    0xdf07247b, 0xb5f0e1cd, 0xe9999e00, 0x0bb10b47, 0x79a0ba01, 0x21289cc8, 0xdf608073, 0x772e0a7e,
+    0xbce938f0, 0x8ea8ed7a, 0xf6ba01cc, 0x51a32a47, 0x3336be5f, 0x21a6c1be, 0x4ce9c5be, 0x704a4053,
+    0xc962209b, 0x00d5bdc7, 0x82ff59ee, 0xc4023534, 0xf75dc3e7, 0x1353961f, 0x2a33ddaf, 0x37dbe4f0,
+    0x1f615669, 0xeb5d6ae8, 0xc6b0d9d1, 0x7dcdbf78, 0x595515ce, 0xb2ba68f3, 0x8f07aca8, 0x2f4767d8,
+    0xfc05801d, 0x2510b75d, 0xd08df958, 0x888fec12, 0xa113e195, 0x6c0ef358, 0xd70e1af4, 0x18c9ad09,
+    0x0a4173e8, 0xd6487b17, 0xb6b467f0, 0xd52d391e, 0xfb542e11, 0x123aed2a, 0x0857bc45, 0xa11d6cd0,
+    0x7e72228e, 0x032c309a, 0xc0f5d31b, 0x89ca653f, 0xb2e94f8c, 0xd77ff56b, 0x41dd192d, 0x5147abda,
+    0x7afe6537, 0xc0fb65c9, 0x34e53e6e, 0xe86274a3, 0xc693546a, 0x8297614b, 0xcfb3b02e, 0x4461c070,
+    0x38432d4e, 0x82c5828e, 0xb38ea46a, 0x2b8ef0a8, 0x4005541e, 0xb4cb6eef, 0x8ae2d849, 0x5c630093,
+    0xcb19b51a, 0x7bb6a941, 0xb602946d, 0xb102321e, 0x3211c256, 0x8fedbe41, 0x0f4436ef, 0x696e6c6d,
+    0x208d3eaa, 0x1ae4a48c, 0x59f8b4bd, 0x76a41dfc, 0x4807b35a, 0x44863215, 0x807c5b26, 0xb4869fdc,
+    0xe9041c04, 0xa670bbff, 0xc30fefdd, 0x97b81210, 0x26b92241, 0xd23ea9d7, 0x9bc524ff, 0xfcc2383b,
+    0x5797fba3, 0x266bdd47, 0x9956e3d1, 0xee872d98, 0xab140df1, 0x083d38ca, 0x8ab2c6b1, 0x7009cb78,
+    0x3d8709b9, 0x5b288ab2, 0x4ee9e346, 0x7d08cfee, 0x189ac38e, 0xc06264c2, 0xefe9ecde, 0xfe98a22b,
+    0x501c8c93, 0xac4cf25e, 0x58ee0ac8, 0x2a4f177d, 0x56e44481, 0x38a2b738, 0x181bd3aa, 0x9c7d6353,
+    0x179b0055, 0x28900dae, 0xcef420da, 0x0f6bdefa, 0x39ea5141, 0x974a6584, 0xd695e4fa, 0xf593fa74,
+    0xfef49fbe, 0x3f805c3c, 0x85aca80c, 0xef0be8d5, 0x310d0640, 0x5b1a7e83, 0x3648e586, 0x5caa5d8c,
+    0x7a73d6c5, 0x3dc4be15, 0x000f902d, 0xf745989c, 0x8d216278, 0xf63cdd30, 0x86655807, 0xc2b5f7ed,
+    0x6f429e84, 0xa2f447f4, 0x69b6a42a, 0x5f523256, 0x754b0a7e, 0x7552ff85, 0x83730ac4, 0xc2e42303,
+    0x3aa3d500, 0xa224f617, 0xc6ec093c, 0x81ce7a32, 0xb5148e68, 0xd60ae716, 0xc160add2, 0x6c4c2d0b,
+    0xf2d44db3, 0xa2351638, 0x8babe4a9, 0x3734c1fc, 0x2982e398, 0x38c04669, 0x828bcb39, 0x66c3060e,
+    0x214ff869, 0xf0a9a476, 0xcc0ea2e0, 0xd029189a, 0xa9909cca, 0x75581210, 0x5652a36c, 0x7522e30b,
+    0xc3c85729, 0x9950bf94, 0x0d70f8b2, 0x61e684ae, 0x7549a6d8, 0xb062d868, 0x6c2847c9, 0x8562498d,
+    0xaa6e2951, 0x23f552e7, 0x36235589, 0xfc9f043f, 0xd4c2d92d, 0x09944a2c, 0xcb63a5fc, 0x3b4c2b2b,
+    0x1ff73b50, 0x7bcb857b, 0x5649109a, 0xfbced2b4, 0x7e61031b, 0x2a331430, 0x10779870, 0x6b215a8c,
+    0x2757cad6, 0x46b3e763, 0x39c329ab, 0xb6abd48b, 0x43aedf6a, 0xdd1531b3, 0xddde1ed3, 0x3caab8ef,
+    0x54037196, 0x5ffba00c, 0x435415ec, 0xe3278d49, 0x83544126, 0xe63833af, 0xa7124992, 0x3444d316,
+    0x62d94812, 0x2c66430d, 0xb577817f, 0x6b33e458, 0x31c0af68, 0xfe6b5b7d, 0x8a1690d4, 0x6cedf97c,
+    0xb4c6ef5a, 0xf06ac0f0, 0xff1dfe8c, 0xe5010c84, 0xad4a9165, 0xeea094c6, 0x83a50dba, 0xf7e54328,
+    0xd49d906c, 0x08dcc4f7, 0xef4f77fb, 0xc8f63221, 0xf1b943ad, 0x371b4fdb, 0x2f54a5ab, 0x67955db0,
+    0x8eeb58de, 0x5df03f12, 0x330ccee9, 0xcf4e1499, 0x6caea186, 0x1606d7e7, 0x445f9461, 0x260fddf8,
+    0xe2999703, 0xe5db44ea, 0x55a1b535, 0x2479bd24, 0x4df2ca71, 0x17ed0aad, 0xb014fea0, 0x29bd57a0,
+    0x4ad85aee, 0x3c7dd483, 0x4e51d6fb, 0xa7312596, 0x6258ce09, 0xfffbd2a8, 0x61d3b048, 0x386989e5,
+    0xb68e1a7f, 0xcac02d3d, 0x1f9effe2, 0x8ee9f127, 0x2139ae33, 0x21987c97, 0xd532e2cf, 0x3fdc5af4,
+    0x8c7f6307, 0xb6be009d, 0x0d1e6e22, 0xb470759a, 0x4eb243f2, 0x8857bcce, 0x2aeb3465, 0x65b9b4d9,
+    0x9a227a3d, 0x3ef3afad, 0xdc0c1c48, 0x797837d7, 0xb77a4019, 0x53405307, 0xea3a4d27, 0x2a9e4ce9,
+    0x74429d0d, 0x7035801a, 0xda16b8e9, 0xe0ecbe3b, 0xded4bf3a, 0x60053563, 0xd53d601b, 0x3c9db9d6,
+    0xbe3b9d4d, 0xffe86685, 0x411910ee, 0xb1e1d50d, 0x3fdb6e86, 0x9b4ed8fb, 0xb41c023c, 0x30ac758c,
+    0xc9efb855, 0x7f7fc4e6, 0x68733b11, 0xe8b18a88, 0xd2038af2, 0x9d8df6e3, 0xcf8e87b8, 0xc7cd4e19,
+    0xfb7c3465, 0x5fb94ba7, 0x077f7b0f, 0x77c5ad5c, 0x538fba49, 0xfef6f340, 0x41a2196a, 0x8481fff1,
+    0xf1fc9b53, 0x1b28830d, 0x59a8e4cc, 0x5033b444, 0xc0870e71, 0x4cb719c7, 0x0ecefc18, 0xaab117c4,
+    0xfc05ec50, 0x486cad95, 0xf73f2b5a, 0x8e4ea0c6, 0x5e92d02b, 0xba66e9a4, 0x549b972c, 0xfd3530dc,
+    0xd82c15a6, 0x1eae792a, 0x6c246e7d, 0xd56a8a00, 0xcb3716b8, 0x9f16b0d4, 0x6d4be96b, 0x7534a486,
+    0x2d1bb51d, 0xd61ee6c9, 0x8cade3f3, 0xac8f4dd7, 0x78eb0407, 0x3038e1fb, 0x2327ea7f, 0x691ca70f,
+    0xcf0cd474, 0x374d1624, 0x907a4396, 0x9b40225c, 0x1cbd50fe, 0x05cefc0a, 0x66045f16, 0x0d6bc156,
+    0x3383746a, 0xff2c431c, 0x9c09e643, 0x2660ba48, 0x79fa0274, 0x24878211, 0xd5aece69, 0x5dbcc55b,
+    0xdb67a425, 0x457c042b, 0x55ed1138, 0xce39a6a4, 0xa677d66d, 0xf947c742, 0x0f6d0981, 0x1d94df8d,
+    0x5fe8490a, 0xf9b9ce55, 0xc2f66b6b, 0xe0efca25, 0x1f19a27e, 0xcedcb32c, 0xcd0b398e, 0xe10055b1,
+    0x0b400543, 0x1cff6472, 0xd2cf3443, 0x96e47bee, 0x117e4c6f, 0x176f1e3e, 0x74306fbc, 0xc695150f,
+    0xdea27be1, 0xbaaf403c, 0x4e5abd8e, 0xcba696e3, 0xf9e63e19, 0x984bcc14, 0xa0fd1a5b, 0x0d66afa9,
+    0x7977c7c0, 0x24ab4acc, 0x7cd2fc63, 0x38bc47b2, 0xd3fd7578, 0x103651a7, 0xf417b296, 0xd4228fe3,
+    0x3735692d, 0x285a2d85, 0xdfe024fe, 0x4a6c2136, 0xe7fe7d49, 0x709aecda, 0x16c2233e, 0x33db0a4e,
+    0xd84b739f, 0x58eebfb7, 0x05a40013, 0x11e29c01, 0x2cfce81f, 0xc16d75cd, 0x387ef5cd, 0xb1f0192f,
+    0xb808d3f6, 0x94eb45b3, 0x003a6ca2, 0xe7fd4a0a, 0x3d35b2c1, 0xbbe8739f, 0x05fb8779, 0x58a465ca,
+    0x107d6365, 0xe7eb0bf7, 0x97c54a1c, 0xe0a7e331, 0x145cd5da, 0xdaca55bf, 0xfeefa03d, 0x288faf49,
+    0x3c07649e, 0x2e5fcb44, 0xb76751f5, 0xe164f641, 0x68651f1f, 0xd95931d8, 0xc316429b, 0x0fafab34,
+    0x07e02d5b, 0x86f621f8, 0x24f78f40, 0x38e96704, 0x247c4b4d, 0x1ec5f3a7, 0x1d598f50, 0x8c0df3df,
+    0x9522e46f, 0xff4a3429, 0x84e0c5ef, 0x175cc170, 0xe79715e5, 0x4acd268d, 0x6343b8ab, 0xe1f68511,
+    0x6ba5684c, 0x574d459e, 0x3d583865, 0xd1a23fc3, 0x6fcdb04d, 0xc7f57bdd, 0xcfe3ea12, 0x2467fc52,
+    0x9878c51a, 0xc8360751, 0x6050db4f, 0x651ecc4d, 0xb9c7af96, 0x21b1ac46, 0x6e78ad0c, 0xf4777e1f,
+    0x8070c674, 0xcd1b1fa4, 0x4116e5b8, 0xdaef925b, 0x11f8089f, 0xcfe32a14, 0x60e962a8, 0x44605f81,
+    0x96069010, 0xa6701641, 0xe0346f26, 0xf8e0df84, 0x68452ee2, 0x583328be, 0xce7dc498, 0xcea074a5,
+    0x5518a256, 0xdcb630e2, 0x7302f0ea, 0x7dab250e, 0xb8a82c85, 0x42747b0a, 0xea8462eb, 0x1c2c4c73,
+    0xbeba94dd, 0x4a6bcf84, 0x793c0522, 0xcb729b60, 0x7f065a05, 0x0bd46085, 0xe63b0ff0, 0xf43743de,
+    0x0ee19ef6, 0x491322a0, 0x6a5d98fa, 0x5f68fd2e, 0x7d991eb9, 0x9771142b, 0x0058d79c, 0x94baa9da,
+    0xc433a551, 0x7a2ff780, 0xb7a3e825, 0x353d9088, 0x23fe6e75, 0x2e587acb, 0xfee24c9a, 0x9af06ead,
+    0x73572ded, 0x5292e12d, 0x1b0d75a1, 0xe2357603, 0x613021ee, 0xfd6c5e13, 0xd7ef3fd1, 0x084c08a4,
+    0xfdca667d, 0x2201544e, 0xfe2f78ec, 0xf75f8bee, 0x52d0b1a4, 0x89f6563c, 0x6c374a2e, 0x66f519de,
+    0x692d41a8, 0x4595dc1b, 0x8ceeb42e, 0x4d44fdc8, 0x40dbe780, 0xe7133393, 0xaa8b92d0, 0x1cff8682,
+    0x33e1d9ac, 0x589add4c, 0x6222bae0, 0x765af3c2, 0x2546850e, 0xb280da91, 0xde2ff453, 0x0ee1e503,
+    0x53246424, 0x14557588, 0x10e47219, 0x4a332f29, 0xf9206255, 0x877de61a, 0x9a9930c0, 0x85b8207a,
+    0x0f91325a, 0x6c7ce186, 0x09bdc787, 0x151bcc3d, 0x77d28ec7, 0x56b42e39, 0x838a2cef, 0x4925a3c5,
+    0x1f04ecfb, 0xfd6da6c2, 0x63d90da9, 0x87741fa4, 0xd5659b22, 0x2b650b3a, 0x9f8b21dd, 0x7a3c649d,
+    0xe2675a3d, 0x72afa898, 0x5f97e4f9, 0xe9d34d8b, 0x549a9687, 0xcb2bf593, 0xb6f901bd, 0x84ce10e2,
+    0xeef8ca89, 0x57d487db, 0xa82dd9de, 0xac894ae6, 0x1a81451e, 0x6bcece9e, 0x6e5e1f15, 0x46f61e38,
+    0x85512e38, 0x45a0ce11, 0x762ab4be, 0x36241957, 0x8dbe450d, 0xfa2c9b01, 0x11257100, 0xd680a961,
+    0xeb758c40, 0x4f6d9dc9, 0x3e1bcc64, 0x16f34eb9, 0x3d8de32d, 0x2862e644, 0x8bfe9b7d, 0xf7c56f28,
+    0xad415fe0, 0xca59afa6, 0x578b78bb, 0x03b57d4a, 0x20b7fea5, 0x79760607, 0x4b12af96, 0x726e3452,
+    0xe585bbb8, 0xcdbc8849, 0x4d36b886, 0x87594c80, 0x421c25df, 0x56b48450, 0xbc3d10cc, 0x1c8a297c,
+    0x30cd3ca6, 0xa2bbd488, 0x22572c4c, 0x424aef94, 0x68bbaa87, 0x603dba9f, 0x354207ac, 0x86b0a5cb,
+    0x96056393, 0xd9b5b74a, 0xef66d3ac, 0x26e1d74f, 0x65bbcda0, 0x1a05a0fc, 0xbe665c2c, 0xe606d627,
+    0xb7c354ed, 0x6eba64df, 0xfd2b5969, 0x86aebb7a, 0xa233ba8d, 0x5f9747cd, 0xa2a8fcaf, 0xbb297c9a,
+    0x27c2456f, 0xc1438443, 0x536f6350, 0x3cef4d05, 0x5969ca85, 0x623c1523, 0xace07c8f, 0x5d24b8e9,
+    0x5b4ced00, 0xcd44c324, 0xc13567c3, 0xf80e4d4e, 0x91178cf7, 0x6938f5a7, 0xc831ef00, 0xa883d393,
+    0x307323af, 0x812ddac6, 0x02814f69, 0x5ff6c45e, 0x3176bdc0, 0x3c815c87, 0x169fd764, 0x3d76b371,
+    0xb635249b, 0x22d3eab6, 0x2482df6a, 0x26a6e39b, 0xe3353617, 0xe7b856d6, 0x9eb93f31, 0xc2b4cec8,
+    0xfc152f88, 0xd46a9121, 0x9f40bee1, 0x7350967d, 0x354806a3, 0x776bef05, 0xc4de21ac, 0xba379428,
+    0x0096ba90, 0xd51a0df7, 0x5d1a653c, 0x4c4eba37, 0x3635053e, 0x9bb45635, 0xab60a5bf, 0xe1459e0e,
+    0x55198b4c, 0xfdfb01cd, 0x47572683, 0x642c1aaf, 0xa55dd28f, 0x0b5082ae, 0x03fab036, 0x06cd3936,
+    0x82a6bb76, 0xa9c40c6c, 0x93b7cce0, 0x633cb65f, 0x85c9f795, 0x49e3df16, 0xe6bdc53b, 0xc0e833fe,
+    0xa341eb57, 0xc9fe567c, 0x325ef331, 0x04b52f3a, 0x8a5849fd, 0x3eab38f6, 0x0eba9168, 0xf9501cfe,
+    0x3b4b1a24, 0xbe10c488, 0xb705a9d9, 0xc9b966c5, 0x62b1123a, 0xbd11109e, 0xf35ddc7b, 0xbc8325b8,
+    0x23039816, 0x94a413bb, 0x82f32ab0, 0x0cfc7cd1, 0x8d7c9824, 0x80b776b1, 0xb415c413, 0xf814318b,
+    0xf6f3e31f, 0xbd2e402e, 0x72004443, 0xd82505dd, 0xa4b618ff, 0xbfbb42e1, 0x788790e0, 0x758b9d90,
+    0xc4fad8bd, 0x0f253e18, 0xd982ac65, 0xbb2cc1d1, 0x477596f9, 0x486b547d, 0x42030214, 0x90dcad57,
+    0xfc59ee8f, 0x5daeaaf0, 0xe380a434, 0x0ebdd0e5, 0x3934e877, 0xe5f01bfd, 0x4d08d061, 0xda8d6f62,
+    0x6af79448, 0xf9282f9c, 0x23abe6b4, 0x72f02a71, 0xda4dff8c, 0x040c64f4, 0x2311c6d1, 0xfdc00f89,
+    0x878fc57e, 0x080a0825, 0xebe5db63, 0x3b0b0f07, 0x72f9a6f7, 0x9d57b422, 0x6c30cf02, 0xf05a4e85,
+    0x51d1378d, 0xb68bd3ce, 0x62e51d96, 0xa464dad0, 0xaa2325d3, 0x2f5e2f13, 0xf3df5225, 0x5a18ac38,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000288230376151711744 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3d, 0xa19723a7,
+    0x00000000,
+    0x84d78f83, 0x5f02d0ba, 0xce491289, 0x68cc7040, 0x0b5bb549, 0xd9cc30d3, 0x3b2a6da1, 0xd903b6d8,
+    0xedc3354e, 0x05426882, 0x901f1a95, 0xb02863f4, 0xb1b4495c, 0xec95a6ca, 0xee4a264a, 0x8b5e3b58,
+    0xdd665c3d, 0x726107cf, 0xaac95ee2, 0x4a9b3c0d, 0x6c37d2a1, 0x72ad194e, 0x963e501f, 0x08e056c7,
+    0x2a78cc9b, 0x3d99e240, 0x6b9859d4, 0xa635be6f, 0xde564282, 0x6c93e163, 0x5fb62dbc, 0xcb8f3461,
+    0xb5bf1ec9, 0xb81bc958, 0x29f76d4f, 0xeeac50e0, 0x3be81911, 0x328f88ee, 0xa852248b, 0x9dad57f7,
+    0xbdb71459, 0x0b3bac58, 0xd4e44a04, 0x48201211, 0x0558b6cf, 0x73ecb507, 0xc461123c, 0xa81ea111,
+    0xe1479777, 0x84c18193, 0xd6b3b1ab, 0xffb7bb4a, 0xc9b7ae94, 0xf5cc6634, 0x653babed, 0x07040730,
+    0x261ac4bd, 0x3e8b9a73, 0x8849a2d8, 0xbcd56f88, 0x1d17ba59, 0x773fe482, 0x9135ac1b, 0x1ed3bf21,
+    0x1c11e486, 0x156557ef, 0x3ad7bba3, 0x6a3b3b5e, 0x0d67e464, 0x91233d6c, 0x79953e56, 0xd5d76bab,
+    0x70c4e40e, 0xd86c0a04, 0x51e292e8, 0x24818da3, 0xf1feab27, 0xe6da27fc, 0xd8499008, 0xa5e283a2,
+    0xad919478, 0xea35bf0a, 0x9ad171aa, 0x89959c7b, 0x701bcda3, 0x5d9ff5e1, 0x635b2bf0, 0x529ecced,
+    0x4e0ae1b0, 0xbb978f24, 0x4e6457f9, 0x1f8acd67, 0xbc1f3fbf, 0xbf2d2f75, 0x8fa57a93, 0x350f036a,
+    0xa8b46b67, 0xf93a6e02, 0xebfb9c89, 0x27345ccb, 0x17b18838, 0x4c06a98b, 0xb95227c3, 0xa95ec542,
+    0x66952218, 0x02dd2a03, 0xe67a9d60, 0xc681220b, 0xe999179e, 0x50456f68, 0xed4ea93c, 0x99fea4d0,
+    0x9dd4c9a4, 0x5c538e71, 0x9019b146, 0x0e8ec750, 0x192f9cf2, 0xbf37f279, 0xc7b70d91, 0x76607683,
+    0xb1c5503f, 0x3fbc6c5e, 0x6a3e0a5b, 0xafcd7523, 0xa8402756, 0xb2eef147, 0x4675ee25, 0xd0c6ba27,
+    0x6061a8a7, 0x77538c58, 0x83ebb454, 0x59048a80, 0xfdfb3278, 0x6d87de2d, 0x7837e430, 0x24ed1bb4,
+    0xc5ae6509, 0xa16ead97, 0x96cb1506, 0xde8255df, 0x2c4d4a22, 0x15edd6b2, 0x06ef342e, 0xd5a501d0,
+    0x0ce43a10, 0x9c5f793c, 0x734655ce, 0x21ebc914, 0xe9ce9fde, 0x98c59449, 0x76949cfc, 0x06a0e34c,
+    0xb1539416, 0x36e2d80e, 0x51be4112, 0x9442902a, 0xae453074, 0xeef5cf31, 0x905d153c, 0xd197f774,
+    0x538a0fdb, 0xbb1cbf5f, 0x17a0f235, 0x14a427ec, 0x86888d13, 0x1e241389, 0x9095b35f, 0x1c5165d9,
+    0x15ddc3fd, 0x922f0407, 0x1eb72098, 0x4f1bd629, 0x5e289348, 0xcccc2cf0, 0x6dcf7cc5, 0xc52fb7dc,
+    0xfd20a370, 0x000e413f, 0x2b32da85, 0x60d23e73, 0xef4c6416, 0x1e8a9f5f, 0x77c75974, 0xc513ee57,
+    0x1dc844f3, 0x527488a6, 0xf051d9be, 0xf7586a5c, 0x6bccc68b, 0xc59c2eec, 0xc5bd8348, 0xe124a374,
+    0x586b85ad, 0x76df1d96, 0xd6cf4abe, 0x122523f2, 0xc4fc2d22, 0xf1ac62a6, 0x5985494d, 0xbe3576c0,
+    0x9f2715a9, 0xbee2306a, 0xf62e7a64, 0x1e98f1d8, 0x967cf776, 0xdd4ab6fc, 0x5c6d3959, 0x8bfdd589,
+    0xe6b39b88, 0xa8d72d0f, 0x87e4d54a, 0xfa3722c6, 0x4d23578e, 0xebf272a7, 0x55d1dfe8, 0xcdfc9e5a,
+    0xc99244ae, 0x184673d6, 0xf646c69e, 0x59ecafb7, 0x87c939be, 0x1b7b44e9, 0x8b2dde7e, 0x896a9f40,
+    0x79937277, 0x7b83b597, 0xb4f81e25, 0xaa05c88c, 0x6bb2afe3, 0x0906829d, 0xbfc773b3, 0x13c95fa4,
+    0x6e7c9fb6, 0x19001e48, 0xc278661e, 0x2563f9d2, 0x359fdeaf, 0x0532fc43, 0xded8772b, 0xd2c77539,
+    0x4e3bc449, 0x53b281fb, 0x313005cc, 0xdd74173b, 0x5894b411, 0x0fec930e, 0x1126a46d, 0xceac44f0,
+    0x10d843d9, 0x8fc9dafc, 0xd4b68239, 0xc3c7d1fb, 0x5552a525, 0xc3c6938b, 0x34fccc21, 0xc23fcb8b,
+    0xc3bb7372, 0xeca9a046, 0x16abd4e5, 0x5af193f3, 0xcf86c9c8, 0x5fbb43f1, 0xae5ab528, 0x635eee92,
+    0xbd821852, 0xf8b57188, 0x582b53fd, 0xfb633e65, 0xf89e1b2b, 0x6d6e6b01, 0x600687d7, 0x7f0d2b2b,
+    0x308087a0, 0x2a3f922f, 0x732a733a, 0x99a9fa4b, 0x1fbc3307, 0xdcfd1c7f, 0xd16775a7, 0x18ea76d2,
+    0x22855a39, 0xa5e97d6e, 0x5a03260a, 0xfb7ee2a8, 0x93a79f5e, 0x47d20cb6, 0xab8c0523, 0x7bef39a0,
+    0x2f24b38d, 0xf67db6d4, 0x14d6f3ee, 0xa6c71869, 0x62497a61, 0x4bc4b41c, 0x272fe5c2, 0xd81da6de,
+    0xade170f8, 0x5d1903af, 0xbf6a1d00, 0x0e6129ed, 0x446da712, 0x6c7cfe35, 0xf72f89ee, 0x865bc40e,
+    0xe3e4ee5f, 0x7a40fbd5, 0xa6679929, 0x3e9f5aa8, 0x3fbd0c40, 0xd8af2647, 0xcb4b3130, 0xd80eec51,
+    0x0e36934b, 0x9017e110, 0xc0308056, 0xf3d6c443, 0x2271712d, 0xe591a051, 0x5fb4ff55, 0x18e90ece,
+    0x9d4b3b92, 0x9357728e, 0xe7268e79, 0x53ac65b7, 0x6631f2d6, 0xa3194a53, 0x70708c4a, 0x0c88173c,
+    0x6cd47467, 0xa2d5cd60, 0xdcbcf07f, 0xf5139c1b, 0x810c7a8f, 0x5e67c263, 0xe369061c, 0x5491b9b2,
+    0x8ff42637, 0x51614e86, 0xa4450201, 0x937db406, 0x492c2b28, 0xaef36694, 0x919f8793, 0x6174aeb8,
+    0x51e6fdef, 0xa6bef608, 0xddee06a8, 0xb4a1a33c, 0xe4b6968b, 0x9972cba1, 0xd3ee87b4, 0xe7e32ff0,
+    0x131b2c58, 0x4a545678, 0x36100b8e, 0xa4bcd2d9, 0xc36933d3, 0x0dd746c0, 0x703b9f0b, 0xef028c6b,
+    0xafb706a1, 0x4f0457ac, 0xba26506d, 0x49cef5d4, 0x1850e97e, 0x6a6b28cd, 0x5d007444, 0x75f281f8,
+    0x4d13bc85, 0xf069803d, 0x52a716a3, 0xe6876b85, 0x3679c394, 0x588abdae, 0x97dfb205, 0x597a00f1,
+    0x217dd5ee, 0x98d6c180, 0xb8017227, 0xca669148, 0x2e4764b9, 0x696ea30d, 0xc6eb0a7f, 0x1e4f909c,
+    0xbd0b1942, 0x86ce311d, 0x91a535b1, 0x29081602, 0xe1127bd9, 0xf4721dd7, 0x82313bc4, 0x9d5113b9,
+    0x3424114c, 0x4a984cb5, 0xdb7f0579, 0x2de90028, 0xfbe062d1, 0x3f70e6bf, 0x71ad5aa0, 0xffec73ab,
+    0xc82c9cc6, 0x9d03eb54, 0x43e43883, 0xd75e5e92, 0xeabc89a1, 0xf0028be0, 0xc5cff3c7, 0xba9db3c1,
+    0xf298e670, 0xfbec7bed, 0x6156c725, 0xc604bcc2, 0xcd59866a, 0xb9363658, 0xde93c648, 0x4f9a33d7,
+    0x20d2aecf, 0x37dfae16, 0xb646fa67, 0xf0fdf2b9, 0x4be25758, 0xafcffde0, 0x76d44753, 0x12e271ec,
+    0xb70e3cc5, 0x7cf8da80, 0x82b09662, 0x1b124880, 0x3091936d, 0xac639a40, 0x05d33feb, 0x64355d90,
+    0xa1796a0c, 0x05a67531, 0x5231013b, 0x1600bca1, 0xfb99042f, 0xd04c3135, 0x0d43274a, 0x2c8d6ef8,
+    0xff2ad42a, 0xda538b27, 0x24685557, 0xd1626e0b, 0x3ed0d0a0, 0x079dd5d0, 0xee82b9be, 0x89a51150,
+    0xbfb89d8a, 0x5490ca56, 0x11e7c979, 0x87c93186, 0x17e117f9, 0x25334a16, 0x7f4b3767, 0x4ee02e9c,
+    0x8b2dac6c, 0x2547ab30, 0x42eaee51, 0x62b03669, 0x4b423502, 0xd7530892, 0xaf0523f0, 0xcb58185f,
+    0x26d8fed8, 0x68e04b9d, 0x7cc2e85b, 0x80593b20, 0x8734d94d, 0x62d9ba6e, 0x1268b3ca, 0x2495703e,
+    0xb5ae409f, 0xcdb0864e, 0xad7ea47c, 0x8ca9a8df, 0xea10353d, 0x51c9672f, 0x11c63da8, 0xb0a08925,
+    0x985328da, 0xacb7df70, 0x19a08143, 0x0454937f, 0x7d8aa063, 0x535bb251, 0x4203aa4a, 0x07499507,
+    0xa1e5f695, 0x94ca30ef, 0xcbe2365b, 0xe6dcbd5c, 0xc89afcf6, 0x1fcbcaae, 0x0e3a1f4a, 0x80e492d1,
+    0xfcc7c9ed, 0x59fedfa6, 0x6512363b, 0xdf1eb26b, 0x96593c4e, 0xd3f0f8d0, 0xd4d8e5a2, 0x5475936d,
+    0xe91ff23f, 0xec73370f, 0xfb45d3b3, 0x1ee8e435, 0x131d290b, 0xabb782fd, 0x2c7183ab, 0x1678680f,
+    0xbf0cf35d, 0x27226447, 0xdb80ae0a, 0x500651ba, 0x461ea3ec, 0xf12c0c4a, 0x44d97efc, 0x3eaf57f7,
+    0x73e30605, 0xcd8b103e, 0x896297df, 0xa00818ad, 0x55b971cb, 0x2bbfd196, 0xd37b1e07, 0x142db513,
+    0x637e401a, 0xa07b2db9, 0x877cbd4d, 0x75673849, 0x389cdc43, 0xb57143a2, 0xa0eaab51, 0x0089a705,
+    0xe5af616b, 0xbeb54939, 0x3416cd4a, 0x85ef7d92, 0x0681b2f4, 0x52a069fc, 0xbce9447c, 0x3a5f8034,
+    0xd04e4a0c, 0x3b39644c, 0x1dbd2dba, 0xc4f8f53d, 0x87374cbc, 0xccdd300a, 0x6d80f28d, 0x149966a0,
+    0x64bb93ff, 0xc36c4083, 0xa7bcc202, 0xc7ead066, 0x5c69c7bf, 0x46b38b84, 0x0595d2da, 0x94040097,
+    0xb87de24f, 0xeac18e7e, 0x8bac8f6f, 0x9bbd0261, 0x6a980caf, 0x24efe9c0, 0x30470479, 0x42635f1a,
+    0xc5a3eb70, 0x1f88a8f3, 0x06b906cc, 0xfcafb605, 0x33ea69a0, 0x633c5ed9, 0x848f9a4f, 0x93daa20f,
+    0x311b3d98, 0x77823c2d, 0x60afe5b4, 0xc13c9a01, 0xf2298fa4, 0xc79a6651, 0x08d8d178, 0xeac75cb3,
+    0x0e18457c, 0xfa4a925a, 0x3ce3106f, 0x407b1c88, 0x4cb81974, 0xd33cfba9, 0x4c25e7f3, 0x1663d242,
+    0x43268a35, 0x08c980cf, 0xd60775b1, 0x62fc76a4, 0x91c061d2, 0xf50e7959, 0x883003ac, 0x4e5e443c,
+    0xd72312f6, 0x57ce762a, 0x78a6ec98, 0xbc1d5d84, 0xa7beb01a, 0xf88285a1, 0x60c51515, 0x02508dc0,
+    0xa49288df, 0x21e981c2, 0xd95c9bb8, 0xf5ce2439, 0x813e9229, 0xf55df4bd, 0x0f26257a, 0xa2fd9643,
+    0xd65b7e21, 0xbed2b4e5, 0x333365b0, 0x67c9727b, 0x3c01c0de, 0x4501ffa8, 0x14896b99, 0xa84c45db,
+    0x7486299e, 0x243540c1, 0xd84fcfb1, 0x88d8c0f2, 0xf49fc302, 0x3bb3e43d, 0x1a9e0f89, 0xd6c530e7,
+    0x1aa0b668, 0x8cdba542, 0xc818ad84, 0x8fe7e974, 0x9fa35959, 0x788b183b, 0x2e40fd25, 0x22a09cae,
+    0x9cd999f8, 0x2812f7ec, 0xa90ff7d6, 0x4ca57dd1, 0x75c5d36e, 0x37bc1a47, 0x8d44ff40, 0xce65f6e3,
+    0xe132c192, 0xbc740ec8, 0x1ae2e608, 0x12827885, 0xeead0f23, 0x700f0230, 0x7d29f11d, 0xe5531fdc,
+    0x3fa63c4d, 0x45181603, 0xb1dfcd87, 0xce82374c, 0xe9602f97, 0xadc5a209, 0xf54b9d22, 0xc66da3fe,
+    0xc0513e6e, 0x4f5443af, 0x5fcadaa4, 0xf27ea83f, 0x16eee626, 0x22d8aace, 0x2c9d6b1e, 0xd20ec85a,
+    0x8aa59a5e, 0x3c420db5, 0x8bd0f3c2, 0xb11fe1d0, 0xd3e1c1a8, 0xf84e9428, 0xf0070b11, 0xbf7edf40,
+    0xcf28bd59, 0x40fbcd9e, 0x78e1e071, 0x29f3bc45, 0x51e7bcd0, 0xe06780bf, 0x26b04160, 0x2ed60ab7,
+    0x244d3e9a, 0xa3274f75, 0x7620ed4c, 0x2cb84a8a, 0x2d42e7a0, 0x8cd2ed1a, 0xc6fbc20a, 0xb105ae4c,
+    0x6e7f9942, 0xc6f14bf5, 0x0549514a, 0x850f7d1f, 0x648006e4, 0x5aa47c84, 0x5eacb5ec, 0xeb0c7359,
+    0x2cd49d9b, 0x27c79347, 0xbeba3cb2, 0x785f7ce5, 0x3b5213e8, 0xf14b658a, 0x81ea7105, 0xcf766fc9,
+    0xea5f2177, 0xbdc72187, 0xdef09a0e, 0x52032f0b, 0xb5e42560, 0xbb70a7ba, 0x0d4f7fd8, 0x24c8901f,
+    0x258db731, 0x89fda86c, 0xc79db648, 0x18c95971, 0x80cf5941, 0xaa744f1c, 0x85e08fdf, 0xe11cb678,
+    0x05080508, 0x9314ccec, 0x8c29cf58, 0x6f297428, 0xbec8fcfa, 0x04e24e50, 0x560adc13, 0x7e8f2ad8,
+    0x202d3932, 0xfd7d62e7, 0x60821cc1, 0xf521db2c, 0xbec93572, 0x3d6746b7, 0x7f6bf2c7, 0xc3693edd,
+    0xcc414e2d, 0x3eb617a0, 0x08231a73, 0x99610ef4, 0x7a12daaa, 0xbcf7c4fe, 0x15c6b401, 0xadac1fcf,
+    0xb2f47bfb, 0xf12304f8, 0xa033c453, 0xe6aa3f18, 0xfdcda29f, 0x0845ae19, 0x9dd60ffa, 0xb28424e8,
+    0xdf0ac993, 0x5ff7fa43, 0x51923cd0, 0x54453a54, 0x511e243a, 0x2d63a74b, 0x832645a8, 0xf8b5671c,
+    0x7aa8002d, 0xcd4485e1, 0x8ad6bcf1, 0x2b89505c, 0x61af904a, 0x1bf85d1d, 0xafa63b33, 0xb8653efe,
+    0x8ca9ea29, 0xfa23a968, 0x20166cbe, 0x930ae310, 0xbb71efa4, 0x6373f157, 0x40e64fba, 0x0d47c0be,
+    0x00187c2f, 0x1b701b1d, 0x6a2a2aa9, 0x99c5f102, 0x78956a43, 0x23c29108, 0xa22642df, 0xe07a8612,
+    0x38417196, 0xe56e5447, 0x4ab89047, 0xb1a9fbcf, 0x3d8aa04f, 0x08220db5, 0x73cc1ace, 0x5cb09405,
+    0x7835b9e7, 0xa90338ba, 0x3755ec81, 0x4f4eb89a, 0x80bfc23f, 0xe963cf98, 0x10f13c77, 0x2a471b09,
+    0x62d47154, 0x7bce2a22, 0x22feb43f, 0x6f100cce, 0xb9f77deb, 0x2483bbd6, 0x16c5b933, 0x0aee4089,
+    0x7c07ec66, 0xc44917ae, 0x8634e46d, 0xe7e4c126, 0xa8a85e12, 0x58e21eb9, 0x5b93f66a, 0x1e715ee5,
+    0x32b51aaf, 0xfec2785b, 0x3c5a067f, 0xfabbb054, 0x435a9c00, 0xfd8e32f1, 0xaae98694, 0x28156482,
+    0x6b24b2b1, 0x45f502ad, 0x7206c0db, 0x42f8e603, 0xa0b0b7dd, 0x110d12cf, 0xe1ef1c26, 0xc4c022b0,
+    0x20439597, 0xc3ea0920, 0xd908fb6d, 0x8a7430b2, 0xcb5af707, 0xae63080c, 0x5d26370c, 0xf140d944,
+    0xa389c9a0, 0xc0476ec7, 0x5da4e457, 0xd7f7328d, 0x8fca6e44, 0x559d4136, 0xf3231d18, 0x60f7122e,
+    0xc1a19453, 0x69ba0e76, 0x995cc33c, 0x9ee7e079, 0x63f2a422, 0x4aa57f56, 0x3adb0c5e, 0xe0a2fbee,
+    0xa5053afa, 0x98131d2b, 0x456d4874, 0x83590e4d, 0x7a5970e9, 0x885508f6, 0x0d45d132, 0x2e44c347,
+    0x18d2d221, 0xa0ab4fca, 0xf5c9bcea, 0xda620a7d, 0xbfd70b65, 0x05ac1a3b, 0x6b1ef796, 0x301c624b,
+    0xe2f5e0f0, 0x44776993, 0xf0af86d2, 0xd79f444f, 0xdd7409c8, 0x6ab89d24, 0x1c5941e4, 0x515c9c72,
+    0x610bb3fd, 0xd78826e1, 0x392b992d, 0x89e0aea8, 0x9b5ccd1b, 0xbb30bed4, 0x3c6d8330, 0x0fdb5ede,
+    0x9cbd7e4e, 0x5d8ff0df, 0xb794ebdb, 0x20565bd9, 0x7a61f0c9, 0x0ae9f350, 0x3bf232ab, 0x771959a9,
+    0x14ce7e98, 0xc313caa9, 0x464b6fb9, 0x79026bec, 0xadd7560c, 0xeaa36f7f, 0x3e749087, 0x3207e679,
+    0x33bf951d, 0x92b429b9, 0xc21023b7, 0x7c79a985, 0xe1e010ad, 0x92910c11, 0x4714faf3, 0xf4f8bb70,
+    0xb5569c6c, 0x8b2d3130, 0x0846e526, 0x3093846f, 0xc651ef10, 0xb5253683, 0xcb1e6f37, 0x75a12c60,
+    0xdea95ca7, 0xd625c87c, 0x3f641098, 0x1937a7b3, 0xdd1d6450, 0xd97fbf21, 0x9df4a35f, 0x9b4526bb,
+    0x8fa865f8, 0x73042dab, 0x8da54628, 0x0564850e, 0x82ee4f88, 0x920335ef, 0xd84cefae, 0x8e079ac8,
+    0xcb2f9a20, 0x35c16116, 0x2a83d7c3, 0xe523d280, 0x530c1462, 0x217976f5, 0x9cbc5788, 0xef1eefe1,
+    0x53bedc46, 0xc8b78775, 0x2ed56bca, 0x2943756a, 0xa78ebf93, 0xd0edbf84, 0x303673ef, 0x9f123eca,
+    0x2e77711b, 0xfc2abe9e, 0x88c4abf2, 0x66d2500c, 0x1ccab278, 0xf54eb95b, 0x420899d4, 0xdbcaad08,
+    0xc25a48ad, 0xe439d7e0, 0xfa387fa8, 0xde086067, 0x28317122, 0xc3d93de2, 0x686866b0, 0xaf370665,
+    0xcca8ae1b, 0x5a8e0e95, 0xaf876d15, 0x6baee485, 0x260f86b5, 0x18c88955, 0xc216a4b7, 0x66123e51,
+    0x29395510, 0xf7238e75, 0x03e01445, 0x0dfaa162, 0x4edcb4bd, 0xe95c5c23, 0xcfa2fa94, 0xcac037b2,
+    0x0d7f6be0, 0x38ab7334, 0x571a1d59, 0x150f1acb, 0xc92911ba, 0xc255e25e, 0xb670174c, 0x93f66d23,
+    0xc3f8125d, 0x47720118, 0xd6563266, 0x5271ecb5, 0x984a88d3, 0x88bb0d7c, 0xc7f6ddef, 0xfdf30e89,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000144115188075855872 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961e, 0xd0cb91d3,
+    0x00000000,
+    0x826606fc, 0x2da5a731, 0xba7eca74, 0x05e11a0c, 0xd398e1b7, 0xe543ed14, 0xe28a2ed0, 0xca7087eb,
+    0xa97ded74, 0x5780796a, 0x68b39ced, 0x8556ad6c, 0xdd28c670, 0x1ec148d2, 0x3cb09b1d, 0x775d22a2,
+    0x5597e390, 0xde8df480, 0x013e16e1, 0x7263c549, 0x945854dd, 0x06834e83, 0xbb770372, 0xa2c15ec7,
+    0x49b1caae, 0x50141fdf, 0x1cf0ee24, 0x7d1d1034, 0x221128d9, 0xe8a327b6, 0x3bcd71dd, 0x38e5bae7,
+    0x0501d708, 0x7aa4cdde, 0xc24a5cf2, 0xb838026b, 0x08ebcf9c, 0xfb63dc38, 0x20cf319a, 0x6c0e037b,
+    0xb177de6b, 0x489e662a, 0x58d682b5, 0x04a8ece6, 0x0c866d5c, 0x9d5706c6, 0x1b663dca, 0xa5e027fd,
+    0x35f37267, 0x7772593d, 0xc83d6213, 0x07afb22c, 0xfee14f85, 0x2dd8e23c, 0x5d204715, 0xe54f7a27,
+    0x64cff029, 0x585ebbcc, 0x046f3763, 0xda35d67a, 0x84695d99, 0xe1e153a9, 0xd58c73e1, 0xfeaa92e0,
+    0x82899949, 0x91a1c1e2, 0xe5a9aae4, 0x63571faf, 0xef9d5893, 0x719264a0, 0xed6e4f9a, 0x2f6a1ff4,
+    0xf99bfa1b, 0xe3942f3f, 0xc4c00533, 0xe3fad1d6, 0xa1d97728, 0x36b425ba, 0x773af732, 0xf12ecbdf,
+    0xebae9ec2, 0xfa7b1120, 0x93d68215, 0x1a4f3eff, 0xe861f089, 0x0f99a9f5, 0x055e7448, 0xb140e0c3,
+    0x87c74e82, 0xa1fd4b1f, 0x15aca61b, 0xbc02a314, 0xf7e2f0a5, 0x22b86a06, 0x7e70bf2a, 0x852726e7,
+    0x027ec47a, 0x56e18033, 0xbfee189b, 0x285794e6, 0xcd9923bd, 0x303d28f1, 0x5af5eb64, 0xb33a46de,
+    0x046e15af, 0x8966a63f, 0x0d229079, 0x35149a22, 0xe26fbc12, 0x25a6cd48, 0x170eaac9, 0xee21aad0,
+    0x35ff2748, 0x26ed9e40, 0x3c7ebb2f, 0x33e12e2b, 0xef969d4f, 0xf017c4db, 0xb9868334, 0x19040cad,
+    0x3723eba6, 0xe07b5e9b, 0x6f583135, 0x1399d08b, 0x0e11c847, 0xd92bc7da, 0xfbc0abc9, 0xcef47343,
+    0x921b513e, 0x771fb60e, 0x255989a4, 0xcdb767eb, 0xd64a7262, 0x9626125f, 0x8a4d415e, 0x47e99130,
+    0x8ce0bcfa, 0x6451a521, 0x55789541, 0x088e8b8f, 0x97b605f3, 0xc2ab492d, 0x564a2cf2, 0x19238da2,
+    0x09cd38f0, 0xd1fb3ce0, 0x0eb0172f, 0x3cb5d53e, 0xdb258eba, 0xb21619b4, 0xd1cccc6e, 0xde1fef1b,
+    0xf87bf90f, 0x9fd34036, 0x213a48a5, 0x607f85a3, 0x7d382a2c, 0x4832a163, 0x4f2dbad2, 0x386bd218,
+    0xe425b595, 0x8f0e71b9, 0x74c6f6db, 0x4775503f, 0x429763ca, 0xf67c5421, 0xc955cd75, 0xf07ba681,
+    0x70838e51, 0xd1b69614, 0x08973280, 0x5035846b, 0xa99a7046, 0x82426124, 0x6161ef6a, 0x3b83d0cc,
+    0x157c17a9, 0x91a1a32d, 0x58d80588, 0x3cf299fb, 0xf4ab370e, 0x31597dc3, 0x296c4462, 0x9429924d,
+    0xac230980, 0x9686336a, 0x0b50404f, 0xcb871681, 0x9fcbe62f, 0x41b937c3, 0x4b987fc2, 0xf355cf74,
+    0x3666f0e8, 0xdd0432e9, 0x9aaf801c, 0x250258ed, 0xaf9a91d2, 0x59c19032, 0x99eb24a2, 0x9fd26326,
+    0x48e2f437, 0x3d48372c, 0x7cd8a9b6, 0x84b3cdb6, 0x8bbd0ead, 0x3414b0f1, 0x58c6b7dd, 0x1679aa3d,
+    0xcd74be82, 0x0c4467e0, 0x21e0da55, 0xcca6f446, 0x2e45c08c, 0xb9c58f4d, 0xf6a0415b, 0x19f07831,
+    0x236d828f, 0xe2648767, 0x0ca7877d, 0x2e4a5b1a, 0xafb82afb, 0x9aaee5ac, 0xe5498052, 0x0a21c439,
+    0xf548ff49, 0x2c3ad92e, 0x0388b5f9, 0x9e9e19b5, 0x02e45e36, 0x17fca5de, 0x4d02b3ec, 0x30a78d15,
+    0x31e8c2cf, 0x86f5b3e5, 0xefbe66e7, 0x162dbe2b, 0x6aef4717, 0x0549204a, 0x4986755a, 0x946d7d9c,
+    0xe4b7316a, 0xcb17d8f2, 0x54fd7fbd, 0x55b111ca, 0x4d20efe1, 0x6bd31730, 0x9f8eae6b, 0x818482c3,
+    0x2ce9efd4, 0x6fbc0429, 0xc5512ffe, 0x9f037920, 0x68fc539b, 0xa7f45510, 0xf04a2f88, 0xe1e0eb92,
+    0xa0bad30f, 0xea6c0613, 0xbe02d59a, 0x77be87e8, 0x8fda0295, 0xc2e98bde, 0xef8c5bf0, 0x49247a75,
+    0x841ad5dc, 0xb9b6922f, 0x8de3683b, 0xa4c9f717, 0x84035006, 0x3787c557, 0x4eb7cf1d, 0x9ef86876,
+    0x9f9a105e, 0x47085b17, 0xff84ddc7, 0x6e187fab, 0x158bda8e, 0x06488088, 0xa6777e8e, 0xcee40aa3,
+    0x6f9c066a, 0x6d5cecbc, 0xbe5c59fd, 0x5805f22f, 0x61324ce3, 0x2fd0729e, 0xebf6368f, 0x7dd5be34,
+    0x2003baa6, 0x5f21bedf, 0xed8d0a16, 0xfc5bc107, 0x0666f625, 0x4ddb3a43, 0x83791bf8, 0xbcd27cb7,
+    0xde0450d4, 0x947ef989, 0xb0d04048, 0x38be29f2, 0xdb7ed071, 0xf3ecc38c, 0xd5a8edf2, 0x3243a598,
+    0x4ae3b8ff, 0xa9a9d67b, 0x3df08679, 0xdeaef650, 0x2f8a1978, 0xaef94132, 0xcbc242b4, 0x69172956,
+    0x9ea8f437, 0xdaa83711, 0xc8c4b7c7, 0xd3743a8f, 0x35e14e75, 0xc3b61ded, 0x865f12a7, 0x2e469c8a,
+    0x71a63a0e, 0x3136219f, 0x8a7f33ae, 0x048df48a, 0x394dc597, 0xa293f52c, 0x560542fd, 0xf18fd83a,
+    0xb7412661, 0x8f3c2cd6, 0xd59950a4, 0x28a0932a, 0x9ee657ca, 0xba26bcce, 0xbb557d35, 0x482d2673,
+    0x4488d719, 0x94d96e65, 0x57fc50b7, 0xb8508363, 0xf350ffee, 0x87e8a5e0, 0x20af4349, 0x371070e8,
+    0x3005587d, 0x144c297a, 0x0f5239b7, 0x1cd058d5, 0x6cd3119b, 0x445b5db6, 0x99156320, 0x0c10b169,
+    0x3bae5835, 0x1c61a017, 0x82332d1b, 0x54b7d07e, 0x5b1e1472, 0xc181d958, 0x925cf064, 0xbfa96f43,
+    0x60106040, 0xba7eb393, 0xb191f526, 0xa897b169, 0x33d0b03c, 0xc3497910, 0xff19e6f2, 0xf7a34843,
+    0xabb1f4e5, 0x5797a702, 0x004ee756, 0xc40f1e4a, 0x08e0fc11, 0x662fda6c, 0xa491216d, 0xb75f5f7f,
+    0xb94ad5b6, 0x2d33b490, 0xd007a3c5, 0x96f3e9cf, 0xe38ca31d, 0x792c8d2d, 0x947c055a, 0xb49ab067,
+    0x09871004, 0x9d251174, 0x3aad981e, 0x2afd0f75, 0x4374641a, 0x4b4c6709, 0x67c9fcb1, 0x3238b8d1,
+    0xc6311459, 0x9950a694, 0x78c45eec, 0xb10372f3, 0xf99b0c7b, 0xcb72b7b5, 0x6106e36e, 0xfe9a69f9,
+    0x42b35d5b, 0xd16ec42f, 0xfd2668cc, 0x9dba0977, 0x4a46cb3d, 0x40c709a1, 0xdb342e32, 0x1b48e1b6,
+    0x84eb428e, 0x540a4d66, 0xd5d2d5e7, 0xe2a1c477, 0x6f8938ec, 0x9a87c1dd, 0x8d5d185a, 0x9d59c0aa,
+    0x995ffe89, 0xc8f3533c, 0xe52c336d, 0x6c64600f, 0x560ae7da, 0x751e7eca, 0x771ac072, 0x53252b77,
+    0xc6435dcb, 0x8ab2111e, 0x916666d1, 0xa36c91c3, 0x96da5714, 0x72cba873, 0x0b737e83, 0x4416f1a2,
+    0x60a09137, 0x7ad3911c, 0xf575f02d, 0x08d529a1, 0x6cf86c36, 0x54fadb0a, 0x9ccdd160, 0x613939c0,
+    0x60946504, 0x60935f05, 0x20f202dc, 0xbc3da258, 0x1f91ee87, 0x4283b263, 0xd1c6211a, 0xa78f4948,
+    0x5598ab0d, 0xe19bb1ca, 0x1c509e62, 0x23308a8d, 0x89ef5a3e, 0x4c5935d8, 0x606a6e4c, 0x34208b3f,
+    0x5912bf4a, 0x0aa6491e, 0xc0acf251, 0xd345fb08, 0xbdd32a0c, 0x0e3863a8, 0x67212a35, 0xf4f1e091,
+    0x59256395, 0x93e67437, 0xf907b3ca, 0x6091784e, 0xcc104568, 0x161fa71a, 0xdb94d7ef, 0x3141e0c1,
+    0xe4043103, 0x92a1c2ca, 0x392fcfbe, 0xf3e49085, 0x545cb250, 0x0a9f4f5a, 0xd66dddbf, 0xa70d8851,
+    0x02328fcd, 0xa95b4a25, 0xde977a3e, 0x18315d08, 0x02c5a4bd, 0x7cac385d, 0x0e9071af, 0x7ae72b02,
+    0x3219439b, 0x82d929d8, 0xa450eb11, 0xd4f9b5b5, 0x0e2f6673, 0xf26de319, 0x23391e94, 0x1036fa54,
+    0x837d0f75, 0x5638841e, 0x5b0e34c4, 0x2622897b, 0xd4f163e6, 0x39d4c5e3, 0xc21988ca, 0x08478c9e,
+    0x99200a37, 0x13203a50, 0xb70fe1d5, 0xbaff4623, 0x73632bcb, 0x120beaac, 0xd5812467, 0xe27efe90,
+    0xf594ae67, 0xfb2d2611, 0x939dc3ae, 0x6a47df4b, 0x5757fa5b, 0x2f552e53, 0x579fa54d, 0xc6d256b5,
+    0x507cdc38, 0xb1de60ca, 0xe6bebbc3, 0xa367fa7e, 0xc36ad8b3, 0x65d5a241, 0x7fb05653, 0x7e48d6fc,
+    0x8dda31a6, 0x8df3ed5a, 0xa36df290, 0xe74b9a18, 0x6aa035de, 0x46bf8bc7, 0x64dcb389, 0x1683cb91,
+    0x8776e314, 0x41ee5b52, 0x863ad507, 0xdbe8330a, 0xca47ec99, 0x562da15d, 0xe31c791c, 0xb27cb29d,
+    0xfa54382f, 0x28d6cc72, 0x7ccf2852, 0x87ff88de, 0x56acd3e2, 0xed45277a, 0x143b56ee, 0x5013e668,
+    0x5cc9935c, 0xf4155b1b, 0x6234766b, 0x51a74d58, 0x57bfec17, 0x4db71951, 0x40b2fbf5, 0xf36376ba,
+    0x1e54abe7, 0x4ef91a0d, 0x28224056, 0xf1d1e482, 0xaa7d5da4, 0xae7a6c76, 0x8f49f7c3, 0x4d5fa6f6,
+    0x3b599dea, 0xdd1d4617, 0x32aab0fb, 0x901c6c7b, 0xe34b1beb, 0x70a24287, 0xed68857f, 0xdb01906e,
+    0x58f92e3e, 0xf737040a, 0x938d7b49, 0xb8009681, 0x3cfcea8d, 0x964f75ad, 0xdafd1332, 0xfb5c4ae2,
+    0xeca77823, 0x23aea13d, 0xe3e946c3, 0xe5ef3061, 0x746a3450, 0x9dc08ac0, 0x8aa07489, 0xdcf73c83,
+    0xbd12ec63, 0x988fb5c6, 0x18bb77cc, 0x66addc3c, 0x8e2e35ca, 0xdc3a3f31, 0x349d59b4, 0xa51489d7,
+    0xdc30c138, 0xc91fffae, 0xf0641e07, 0x9de366ed, 0xa64541da, 0x2aac0e4e, 0x83944ff9, 0x20babb42,
+    0x7c70cedc, 0xa7c43a63, 0xe3e87749, 0xbe2ee57d, 0xb81de561, 0x48c6ff35, 0xd7717cc2, 0xd2647f82,
+    0xe4df6f84, 0x300eee49, 0x07204119, 0x54697d52, 0x6d0de466, 0xc56816e8, 0xb3c775f0, 0xd7072f14,
+    0x9455aa5a, 0x6d30d5ec, 0x188fa689, 0x0b6cf930, 0x02c787e2, 0x9396c948, 0xfaf923ec, 0x87a0dc8b,
+    0x21d69b97, 0xb8eceb14, 0x38e42e12, 0x9d001dac, 0xfd31c1b4, 0xa649090c, 0x34acb52e, 0x9dd8023c,
+    0x74c3244d, 0xabc6d706, 0x058bf530, 0x4a34b746, 0x67404c0b, 0x0c087c73, 0x3040793a, 0x67028c0b,
+    0x7fcebacc, 0xebbeb123, 0xfd28b30c, 0x4fe54c02, 0xdc0779e1, 0xdfe88c4c, 0xc26d1316, 0xea550dc1,
+    0xd72baacf, 0x03c9f27e, 0xd0937084, 0x5e8698b8, 0xbaadd075, 0x1e3fda70, 0xc7cd5b96, 0xa54bc1b6,
+    0xa537fe5e, 0x0ab8eda2, 0x129ae167, 0x8f18a0a2, 0x0ce13956, 0x26df607e, 0xb4d17b35, 0x9ce04a57,
+    0x85473ea4, 0x6e10cbfa, 0xe54236b4, 0xdceb5fca, 0x42145c96, 0x3ed5256e, 0xfe77ffac, 0xb2706209,
+    0x1d7cdaf0, 0x7df12ecd, 0x8b8d37af, 0x67c75af1, 0x90b70b69, 0x5108c5ca, 0x335c65b1, 0x17bf6956,
+    0x92ce1ffb, 0xb82b6b85, 0x18592360, 0x01051e16, 0xa691c270, 0x036dc606, 0x8d8789f0, 0xbf3c354f,
+    0xfb17078e, 0xf29b3f41, 0x1930a28f, 0x69c481a6, 0xff19a682, 0xfaef0ada, 0xa3cc020c, 0x1f8781c4,
+    0x25a216da, 0x088138b1, 0x012a0567, 0x32b42e40, 0x6448c4d3, 0x646f4c85, 0x508b904d, 0x4e19d251,
+    0x0252d4da, 0x7efb27e1, 0x59e95425, 0x973202a6, 0x9fc590af, 0x4fea7a73, 0xc882bb07, 0xa9a58ad1,
+    0x24577fc5, 0x8f4c4add, 0x65ec9f3b, 0xb25f8021, 0x47fc2a70, 0xc9b3f889, 0xb97a55c5, 0x52a810d2,
+    0x94974ea5, 0xe7dfddee, 0xd6152a65, 0x02393e3b, 0x8b827215, 0x99544b2e, 0x1f52863c, 0x184a8270,
+    0x052882cf, 0x59966b28, 0x96ccbb66, 0xb433f1eb, 0x041ef9a9, 0x8e1dbb26, 0xb9cb5486, 0x7b493cc0,
+    0x70c81dcc, 0xf8ad8cc7, 0x891a4591, 0xb6050e83, 0x6d4cb0b2, 0x4cc8a045, 0xa4fcb9d0, 0xbf874d88,
+    0x799b3a94, 0xa26a5a47, 0xe513f8fb, 0xf00fe242, 0x1bad78d7, 0x4136fd97, 0x2f4e6244, 0x8e0948f2,
+    0x26a5cce6, 0x600c8e29, 0x3f0f2aca, 0x93ab8ab3, 0x5d2c5ac8, 0x35f420bd, 0x07a16bb7, 0x7058a9a8,
+    0x2ae3aabc, 0xdb1c30c2, 0x418013eb, 0x77080baa, 0xb4c8a758, 0xbaf7500c, 0xe4480c2e, 0x1669748c,
+    0x7e73ca12, 0x8af5dc41, 0x4cf69cbd, 0x2febc04e, 0x9a664e5c, 0x623d0e59, 0x36dcbd50, 0x669b71ae,
+    0xa730dfba, 0x5679f7e7, 0x5d7a504e, 0xe0941aee, 0xfb6800d8, 0x0971972e, 0xfd5cef5d, 0x2020fbb5,
+    0x5035afd3, 0x06d4b493, 0x0db620bb, 0x280bda6c, 0x4a02a193, 0xbc339033, 0x94182d22, 0x7b0a496c,
+    0x54661aaa, 0x22ea20f0, 0x3bc95def, 0x8439264c, 0x1f761aff, 0x7963e160, 0x81019bc0, 0xc05dc515,
+    0x1b085088, 0xfbfcb629, 0x2a22908a, 0x39cf6c2e, 0x9f1cac19, 0x45e73222, 0x673798b0, 0x5001c147,
+    0x7219747a, 0xc3b86889, 0x5e455ec6, 0xe18a7e2b, 0x30664987, 0x6f6b83eb, 0x986ff357, 0xe37e10a4,
+    0x0d8b6877, 0xeb7001f7, 0x6004da64, 0x9ddfd58a, 0x5545e4ef, 0x67b3ff5e, 0x2fb39170, 0x48b2abd6,
+    0x3de1c8e3, 0x8e274a7b, 0xbd16cc96, 0x9cdc5189, 0x50fa201e, 0x60108d43, 0xacb07f59, 0x6b326051,
+    0x3198c409, 0xf8a7b6cb, 0xd0b7cc44, 0x949b7f5e, 0x7c9bd5db, 0x3ff642b2, 0x32b15e18, 0x9384b8f8,
+    0xaa9663c8, 0x49d5718d, 0x06213a81, 0x16f1a9b9, 0x9e9efa24, 0xf5a44622, 0x40dd453d, 0xe8cc89e5,
+    0x66343a13, 0xb20b70f3, 0xf86e90ee, 0xbebbb9ee, 0xf378587e, 0x2f48c4fd, 0xa41c33c6, 0x6a519ae9,
+    0x89b9b707, 0xcbf0cf4d, 0x1aa6dfda, 0xe8bdb11e, 0xc34a48a6, 0x79c4cbf3, 0xa62ace38, 0xaeb868ef,
+    0xe436d145, 0x3bd90b34, 0xe0f77694, 0x77462142, 0x26229d37, 0x02d6d2ea, 0x2275a3b3, 0x1440615c,
+    0xd669ab80, 0x687f4759, 0x841956db, 0x3dc99d6b, 0x42f7cfef, 0x00217de6, 0x2a5ab904, 0xe46d01c6,
+    0x1ed1d353, 0xd905be86, 0x5bc7155c, 0xb6d5a118, 0x046698b0, 0xc1ea4ed7, 0x69278b98, 0x5bdcd4a1,
+    0x4ad2bad1, 0x81214510, 0x79ed3f42, 0xeb36bd81, 0x24b8284a, 0x33ea9ac6, 0x6d2b157d, 0xa400f13c,
+    0x6110c981, 0x6c22bcc9, 0x01d315e3, 0xcf32541c, 0xd57914c3, 0x0061b637, 0xa2d4ecf6, 0xa28b0a4b,
+    0x67bfaebf, 0x92dc5e50, 0x3cb68ad5, 0x2c8abee6, 0x1ca10b0f, 0xc8f22172, 0x56018980, 0x2ea6de59,
+    0x0aba0a3e, 0xfbb18f8b, 0xa5b6f2e7, 0xd6dc42ed, 0x1513def3, 0xe842e0da, 0xb2e2a508, 0xb60b9f87,
+    0x61bfa36c, 0xdf436f3d, 0x369d3b5e, 0xfcdec448, 0x2b02547e, 0xe592e57e, 0xff249c5d, 0x13d637ad,
+    0x863c1f62, 0xa82ee67a, 0x68b547a9, 0x6060f23d, 0xc58babb6, 0x61dc108c, 0xa6f2ce52, 0xfda6c003,
+    0xcc5b7f52, 0xd611b24e, 0x78648e2b, 0x8284edea, 0x925454bc, 0x0383f2c9, 0x69afad8e, 0x804455b7,
+    0x9573c914, 0xfe57285d, 0x747fd86d, 0x199ad659, 0xe647863a, 0x515d12b4, 0xbcd75ac3, 0xebe74dc6,
+    0x4e46f7ec, 0x6ada750d, 0x8eb5618b, 0xfebaffed, 0xdbc68d4e, 0xddc1cfe9, 0xd85350ac, 0xa1e6bef6,
+    0x57e57785, 0x56a9ba38, 0xb73d4c32, 0x108063cf, 0x5181310f, 0x62244c61, 0x69f4e9d0, 0x750a8907,
+    0x92633480, 0x96716b62, 0x473bda06, 0xc9906308, 0xfab44102, 0xdcd1f78c, 0xffb0e2d1, 0xb7ae5658,
+    0x6386d2b5, 0x1b628c9e, 0x4f6b1b91, 0x54b4e823, 0x67952fcb, 0xeb01741a, 0x52fad461, 0xf468da53,
+    0x3f1f3f01, 0x5250ad45, 0x5714ac79, 0x9aca6dc7, 0xf2727531, 0x4971eca5, 0x9f1e1dbc, 0x412125af,
+    0xe1a1b733, 0xc971cabf, 0xbb480e47, 0xb8afe9be, 0xb488a71c, 0x069ec189, 0x1b71a130, 0x18caad66,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000072057594037927936 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0f, 0x6865c8e9,
+    0x00000000,
+    0x813196b5, 0xa14f1b33, 0xd8541b55, 0x677bf337, 0x58aba7a0, 0xce5171ac, 0x18e8d090, 0xc00ebf80,
+    0x0e6483fa, 0xf33db04d, 0xd4c3da8b, 0x6bb17635, 0xb14afb72, 0x5a247626, 0x9aae8791, 0x085fb7a4,
+    0xe0ee8c59, 0xbe978a41, 0x43844998, 0x0fbe6f6e, 0xec848056, 0x37302d33, 0xdd1d6c22, 0x61b392ae,
+    0xed16bd8e, 0x9ec79f6c, 0x05f821dc, 0x4f69fda3, 0x4c548c4d, 0xdaad77f9, 0x6a1fe3b8, 0x4208263a,
+    0x8121eed4, 0xa94739f0, 0x79abfbbb, 0x480c4c39, 0x8e0026de, 0x85d78fd3, 0x43a6bdee, 0x8c24b58c,
+    0xdc0e5c81, 0x3e5bca13, 0xeac4131b, 0xa69ba0b2, 0xce7db46e, 0xbd120ba1, 0xe29551ec, 0x60b8ded0,
+    0xb9506156, 0xfac1cd29, 0x1638eae3, 0xa3ca3283, 0x6dafc247, 0x1d6689ce, 0xb24e4d0a, 0x9726379d,
+    0xc51d62d6, 0x2099dbf3, 0x229566be, 0x47d0bfb4, 0x03ae5d34, 0xbc05a59a, 0xcaff9700, 0x7b49b2a6,
+    0x4fb1f731, 0x37bbc845, 0xaa2a6b56, 0xba8d98ab, 0x336782ba, 0xe5338ccd, 0x0fd780ec, 0x4c2548ab,
+    0x1ea4ba2b, 0x366abe00, 0x353464d9, 0x42cc182b, 0xc0f3b429, 0x7c0a4fe4, 0xd55daf36, 0x2d9e91d5,
+    0xef69ea6b, 0xd2f2d984, 0x4d37063b, 0x5c07c864, 0x57d200f4, 0x49270abd, 0x484787da, 0x3952f38c,
+    0xda165aa9, 0xc8349d95, 0x2d5e5ccb, 0x350d649c, 0x7c2baa93, 0xb7b034bf, 0x6210da29, 0xa089ddb4,
+    0xa545b588, 0x5c704611, 0x0637181c, 0x2494e6b7, 0xedb0b714, 0x4fe24185, 0x3d17f65d, 0x304095f2,
+    0x4c9898b0, 0x2c3bf707, 0x340d375e, 0x5488ccc7, 0x4aca2852, 0x0d33236a, 0xbed487fb, 0xc45f3d4c,
+    0x85df2f11, 0x05fb3ed1, 0x5d55fa20, 0x9232b127, 0xf2c46d6c, 0xf1a8479b, 0xd905e130, 0x54c89a17,
+    0xd2922a83, 0x0f15b092, 0x12104b8c, 0x84f1bca7, 0x240cf221, 0x6683fa69, 0x676db68f, 0x5c8036d7,
+    0x343c813e, 0x7b1a6030, 0xf7ea5fd6, 0xf2a4c925, 0xc9a57a16, 0x36cd05c1, 0xd6704d81, 0x7b9570a0,
+    0x71d8c315, 0x8602253f, 0x93832aac, 0x42fd3097, 0xf24b3841, 0x54bd08bb, 0x43c807e2, 0x91603bb9,
+    0x2406db1d, 0x82ba6abb, 0xa9a27b46, 0xea1121e7, 0x82f7324b, 0x8048d10b, 0xe10e22a8, 0x9b7268d2,
+    0x67f74e44, 0xb53c0934, 0x8c9e103a, 0x5b935eee, 0x43e1b6a7, 0x569ecb2d, 0x6feeed35, 0xa7832be7,
+    0xd5c5e97b, 0x0a23c9b7, 0x009865ac, 0x54dd2130, 0xd811d507, 0xe30641c1, 0xa8ecaadb, 0xab5d0638,
+    0x12370603, 0x74f3e769, 0x190414b4, 0x261ee87c, 0x54766d8c, 0x04239499, 0x8e8d1d79, 0x5645f922,
+    0xbb0e3042, 0x776e54d8, 0x81a758c1, 0x84fe7bcc, 0x102db12e, 0x1f59dcb5, 0x1310a618, 0x3fa1ea33,
+    0x3d48b560, 0x8f0d5cc2, 0xc1db2dd7, 0x61af3ef1, 0x43af272c, 0x11d0bb7e, 0xf3662147, 0x2901f4c5,
+    0x84acc758, 0xcb0ba947, 0xde0a9b46, 0x7eddda03, 0x33bae974, 0x0b6c0632, 0xbe046767, 0x47e9b035,
+    0x3218d65c, 0xd3e4f3a7, 0x71e129a5, 0xb3ca90c2, 0x08eb6009, 0x18ca88da, 0x6084a351, 0x2400ce32,
+    0x016a2c15, 0x6df416f9, 0xc5be90d1, 0xac7a2091, 0x799524fe, 0x736369e4, 0xd49fb4a4, 0xca2edc88,
+    0x773430a3, 0x854b288b, 0x87841085, 0x8c0b12c8, 0x5d81f1b3, 0xdf5d0490, 0xadf38cf9, 0x8a7ec793,
+    0x14499f73, 0x2e9acc53, 0x6e6f4ae3, 0xccb52d91, 0xf57034da, 0xd8544f79, 0x0e435a5e, 0xeecf0070,
+    0x303525a8, 0xa056bffc, 0xec5cff0b, 0x3329dbd2, 0xeb6e714c, 0x61edc4b2, 0xa6c586f8, 0xb53ddcfd,
+    0xa1752bf9, 0xa28480ef, 0x00f8d86d, 0xa76fab69, 0x2fb92ae9, 0x82ceab8d, 0xa2a7acf6, 0x2c0c10d3,
+    0xdd21c646, 0x6a1bf1d1, 0x9936a711, 0x20948ecd, 0xd94bb393, 0x66c5b976, 0x930b7673, 0x8afc077b,
+    0xbcf8252f, 0xa94d2d7f, 0x4dbb7e98, 0x7f7c8a96, 0xb3770fef, 0x3ab54c6f, 0xecb1e2cf, 0xda412dc6,
+    0x09405816, 0x4c29093c, 0x8d9ba5bf, 0x37590b5e, 0xcb97d28c, 0x04643293, 0x17b9058f, 0x47aacb3d,
+    0x61a7e4ac, 0x870654f5, 0x40b0d85e, 0xf915edfa, 0x39b10eb6, 0xb0b57041, 0xfaa572d8, 0xb10b4ea6,
+    0xafee7729, 0x50be0cd1, 0x3f858f9d, 0xd13903ec, 0x59a34601, 0x704bcee4, 0x241fc7a7, 0x348e2ea1,
+    0x162d33e4, 0xea1e70aa, 0xd17f4f1f, 0x2136cb6a, 0x4466ed02, 0xed13676e, 0xb2215397, 0x47ff2e57,
+    0xe8829c50, 0x328e5068, 0x054422f1, 0xbdcd463b, 0xdfc707bc, 0xd3013b90, 0x476fd6d1, 0xc591f9d3,
+    0x0292b1d6, 0xe54c3b3b, 0xafb42c4d, 0x37b5d817, 0xb41671ff, 0x7867f26f, 0x85db4963, 0x7048ab6f,
+    0x719badd7, 0x7b8b3878, 0xe7e326ac, 0x8c688882, 0x9e56a0fc, 0x2ce9ad5f, 0xba1032e4, 0x45a50b65,
+    0x2dc21786, 0x944e5e31, 0xfe71270c, 0x01c8dea0, 0x43f4eabc, 0xa8d83119, 0x41b2f237, 0x8488bcb5,
+    0x9f2770e5, 0xb6d57645, 0x6b95679b, 0x88f00bb0, 0xfe9d7a04, 0xae3f61b6, 0x2dbde542, 0x452ece36,
+    0x77d924cd, 0x1788a8b5, 0x50fb315d, 0xf6d9de2a, 0x7f0f3ce4, 0x0d7826dc, 0x7d7da1b6, 0x05a59887,
+    0x5d23c0da, 0x186d0aea, 0x41548c65, 0xb90066e3, 0xc46d8b43, 0xd3474bf7, 0x60d62db5, 0xdeabd1d9,
+    0x9b0d0941, 0x5e1b2110, 0x9221b4ee, 0x3e068faf, 0xa09925f5, 0x8b296a79, 0xbb30622d, 0xe8558366,
+    0x98b8715d, 0xc0ad6687, 0x4f84c226, 0x6b04bc8d, 0xb24575ad, 0xba242b54, 0x11bebba6, 0x6e7e0046,
+    0x2faf5211, 0xa06234a6, 0x927fe1a5, 0xde10db48, 0xe6b0cb8d, 0xc7d82eec, 0xec31fe90, 0x8b39cb09,
+    0x09c58d10, 0x2a805890, 0x54b305dd, 0xeb50b3ad, 0xb0901b00, 0xa1a821bf, 0x6758a7d7, 0x2e7a451b,
+    0xd4474c50, 0x3295af2a, 0xff62e8e8, 0x06c29206, 0xd511669f, 0xe08174c1, 0xe0886e48, 0x4c8c1ddf,
+    0x7f007ad1, 0xad537998, 0x126e0d6f, 0x3be641e3, 0x05ade26c, 0xd9634e64, 0xe6578e74, 0x916a3a9d,
+    0x2ce4dae8, 0x7160244d, 0x75faac63, 0xf838477c, 0xf860f1d7, 0x90be45f0, 0x15fae467, 0x5b7e8556,
+    0x66a2b87f, 0xa94d68ea, 0x48ae81d8, 0x472b3073, 0xd9a9f9e9, 0x1913bb0a, 0xd78e6784, 0xc6a46d23,
+    0xcd802c0d, 0xb5a2ecfa, 0xc9f5e162, 0x08fdec28, 0x4082f6af, 0x72ce7f4a, 0x96a72364, 0x4052261b,
+    0x827ab136, 0xc9906dff, 0xde24c2d5, 0x6bb0b3e5, 0xc56e1054, 0x95568afe, 0xcaa8c4ff, 0xf853e45a,
+    0x8eb34c8b, 0x1b7e23f0, 0x20f6ee33, 0xc5a59df9, 0xdbd73061, 0x7a5f218c, 0x150e55d5, 0x95eaf1dd,
+    0xe5167345, 0x089a48bc, 0x7d31625b, 0xb2f3b4ee, 0xd505b632, 0xc843ee48, 0xe90b1e4b, 0xf3392159,
+    0xf49f66a6, 0xe3074a8a, 0x022a5ade, 0x4e7cad78, 0x68e94997, 0x443ca1fa, 0xeadd3462, 0xd5dc2b62,
+    0x7f41fc34, 0x4f7827dd, 0xff13ff50, 0xf56dd809, 0x274c098d, 0x4f7a2c40, 0xc4b08201, 0x0935ad05,
+    0x51f3925d, 0x5f32721d, 0x5e04b630, 0xcd49de90, 0x4d6ec8c2, 0x43516505, 0xb1bc82de, 0x80cd9733,
+    0x1fe356a9, 0xf008f130, 0x838f0e37, 0xfd797e5b, 0xb5af66fb, 0xae5d9ad8, 0x7cb9ab83, 0x4b019261,
+    0xdd68ee1f, 0x3b07c1b8, 0x24c72261, 0xfc59ff22, 0x0d381acd, 0x7bb22667, 0x849e569e, 0x15d52240,
+    0xd30c093c, 0x707e40cb, 0x66eed466, 0x0745fd7b, 0x16879fd1, 0xaa2dab7e, 0x271fbf39, 0xe4e5f90f,
+    0x05d63fe5, 0x5b2ba324, 0x3d03fbb5, 0x977fb1b9, 0xbf273168, 0x83f895df, 0x3b7c2da6, 0xc2e6240b,
+    0xe4ea08a8, 0x032bb07d, 0xe7f67496, 0xb2c4b99a, 0x0560ac9c, 0xe852a89f, 0x3f554c71, 0xf4609675,
+    0xb78a8133, 0xf03a02a3, 0xc047090a, 0x51e63037, 0xcd1c6607, 0x19722a7e, 0x82c9b1c5, 0x9e0a6de6,
+    0xd4c96d0a, 0xd4fb95b3, 0x74b84a7c, 0x6ea53e32, 0x39d7bd45, 0x08661635, 0x04eb776f, 0x460fb24c,
+    0x00f4f730, 0xd0546a9f, 0xcb377c59, 0xcef4df3a, 0x10ff78f0, 0x25691404, 0xfc443352, 0x67fb9b98,
+    0x9934bf34, 0xeb4a1296, 0x2cb0f6e2, 0xd2bc3403, 0xcf8a1000, 0x4004cb8f, 0xc49aaf3a, 0x963da1e9,
+    0x8858bd05, 0x81562fda, 0xb1db3a29, 0x4cfb980d, 0x6821259a, 0x76eaa40b, 0x155db296, 0x3555a347,
+    0x1edf503e, 0x49c75841, 0xb381c584, 0x9d29797f, 0x88632b95, 0x1cbfe028, 0x85a50a9d, 0x18f8e4d1,
+    0x4936b715, 0xaea78f67, 0x518ef41d, 0x74393707, 0x85e87b03, 0xc7d847bf, 0x846ea74d, 0x8b02712d,
+    0xb52f74de, 0xdd527f93, 0xa46b30f6, 0x7ad2eabb, 0x81f900a7, 0x3b1a9e4e, 0xdf51479f, 0x95b5ea91,
+    0xa604b925, 0xead1466c, 0xe492739f, 0xa8b7b721, 0x5d0254d0, 0x04640049, 0x1c0ba53f, 0xe7ae4d43,
+    0x10d0411f, 0x151df6ba, 0xf0d7ede5, 0x45892178, 0x3d263cdf, 0xd127f8ab, 0x4d1ceecc, 0xc050428b,
+    0x59603184, 0xaef23f4d, 0x4f8548f8, 0x00cce1e0, 0x9bc83c14, 0x243038a8, 0x5df4d191, 0x2b292c32,
+    0x78f9a033, 0x1996843f, 0x88e3fabc, 0x02b5eae6, 0xe3f6a0b0, 0xbd8e9748, 0x6b309680, 0xba7c1fb3,
+    0xefb65f14, 0xedea9af4, 0x0d60a333, 0x33d3bdc0, 0x74020062, 0xfb5d7396, 0x0b4be42d, 0x113e5cff,
+    0xbca7908e, 0xa81a5164, 0x8a3dfe40, 0xaa5f03fd, 0x78c37889, 0xe7ed8683, 0x01509978, 0xee1cf039,
+    0xe1951165, 0xfd5c54ed, 0x04483aed, 0x9c2dd8c1, 0xf7012aba, 0xc0c7d9c1, 0x6b078c06, 0x2e92facf,
+    0x3e2edc72, 0x159248a3, 0x6336472e, 0x2b725c80, 0xa1424066, 0xdffdd196, 0xaee60b7b, 0x1878abec,
+    0xf004f922, 0x287c8f9d, 0x13fe46bc, 0xf79ee171, 0xdfe11611, 0x7f12b441, 0x26d8b039, 0x87f4be1c,
+    0xb646a236, 0x42e092ba, 0x1f8ff236, 0x0fb01b11, 0xe5ff3b9b, 0xeee891b4, 0xebbddd7e, 0xdb6c4813,
+    0x265870fa, 0xd6e8837e, 0x6a8e8abe, 0x3b400fe4, 0xe5a87d6c, 0xcbd59758, 0x4b9e3fd2, 0x58537a03,
+    0x2741ac6d, 0x890f57f3, 0xcb28e452, 0xd74d05e7, 0xc53a1dbb, 0xbbc92819, 0x5891f078, 0x1777f142,
+    0x3d549408, 0x7cbecda9, 0xd15e8a5e, 0xf7345795, 0x8bbabb56, 0xf21878f8, 0x6489ab2d, 0x8a6ccff5,
+    0x3328e6ca, 0xab377d15, 0xdc166f16, 0xc3349c95, 0x8589b207, 0x7a65563a, 0xbe7d38f4, 0x8f185d21,
+    0xac8e0a48, 0x793ae6f3, 0x962342ae, 0xf5159cbe, 0xacadf295, 0x536b0e49, 0x52305846, 0x53372f21,
+    0xf2192613, 0xc4deaaa5, 0xe458ac3c, 0x912de484, 0x631caf9e, 0xf09b3f9f, 0x95e0d3b6, 0xa4c26614,
+    0x2c1616e3, 0x72266c3c, 0x2a4a82cb, 0xad61cc42, 0x31f41bfb, 0xc1771cd8, 0x73dcea1b, 0xbc229412,
+    0x6cf06d71, 0x52d592d1, 0xd13d9a71, 0xb17f9377, 0xe3eb94e6, 0x3e69a2b5, 0x08afb828, 0x6884c2c5,
+    0x14972b72, 0xfccb9248, 0x87a11184, 0x15ca8edb, 0x749cefa2, 0x6a501580, 0x591bce74, 0xf14ab630,
+    0x8f33a45e, 0x7f45c522, 0xdd701d41, 0x58a14719, 0x8a3a4a3d, 0x91451d4e, 0x216fdea6, 0xd646b528,
+    0xb615db2f, 0xcfd07679, 0x4776ff6a, 0xa7e36df2, 0x2ca63714, 0xa57f383e, 0x55745fcf, 0x0a54d890,
+    0x6b7af281, 0x90c56f1d, 0xd1b7d65b, 0xbc5aebdf, 0x47bc944c, 0x641fb067, 0x8a77787c, 0x6b89043f,
+    0x9e58b7f9, 0x22ec8972, 0xd68a7f2f, 0x92058821, 0x9135b571, 0x11fd7cd4, 0x6719987e, 0xe28260a3,
+    0x36cc0334, 0xb1e9cb57, 0xe709c3b6, 0x48f2686a, 0x6ce5e947, 0xcd0a683d, 0xae0ca9c7, 0x091103af,
+    0x7e5bdafd, 0x372c257a, 0xd2b70566, 0x55b8fdf5, 0xa762fb07, 0xc2918767, 0x8ac38b3d, 0xa488965b,
+    0x154eb518, 0x432d9ffb, 0xaaf6cb07, 0x205f80bc, 0xbab7b5d0, 0xc37dd91a, 0xc2041167, 0xafebc997,
+    0xf921eb02, 0xf7e8984d, 0x4f201ba2, 0xab2f56ec, 0x98aaa816, 0x454aa7d4, 0x901dd412, 0x94a5f59b,
+    0xe7230db1, 0x9f7f54c3, 0x21c72f0b, 0x6aa67dda, 0x9376e8de, 0x283724fa, 0x4e210ce0, 0xfb6bed4c,
+    0x27c936b4, 0x8d72db3e, 0xe2077aa5, 0x47db57b2, 0x68c58822, 0xdb65d598, 0x327c92d7, 0x370af786,
+    0xf3c36771, 0x8e32bb8f, 0xe7d16041, 0xc7101289, 0xfadc5155, 0x5478a9c5, 0x64730057, 0x17546f47,
+    0x46276d48, 0xba04e15e, 0x16387ad3, 0x0edf14a2, 0x945874b9, 0x3c26ec2c, 0x50ab77b5, 0x0edd1bdf,
+    0x019f4974, 0x0922be49, 0xd5ab9814, 0x8c7bfc6e, 0x83f290de, 0x19bff26b, 0xebc537f8, 0x8b7f0f1a,
+    0xfb3b0cd2, 0xd3a76848, 0xf0fc9ac9, 0x67d3253a, 0x4b1a675b, 0x1a6f3caa, 0x4e413798, 0x06d23b08,
+    0x4848ddba, 0xee32c448, 0x8a6028c9, 0x253d7b4a, 0xf0b35cf0, 0x8dd0d3da, 0x6288d113, 0xd72a5447,
+    0x941dbd81, 0x89c27354, 0x1e401159, 0xcb87bd81, 0xe949ebfc, 0xd36f2429, 0x1d30b638, 0x037bbb7c,
+    0xa158aa0b, 0x6e0c8c8b, 0x9c11d72a, 0x54556fdf, 0x7ec9e750, 0x02058296, 0x4c438f45, 0x808d5e72,
+    0x65d6747a, 0x20a65a12, 0xe24e8b07, 0xdf4e8726, 0x883dcd94, 0x9dbe6ec5, 0x543f5f17, 0x5f41fc70,
+    0x02c5879a, 0x3cec8d33, 0xdd9bdc5c, 0x77e73175, 0x2b9c7755, 0x4d7c6947, 0x50af412d, 0xfaf3b19e,
+    0x2b74112c, 0x38aa29d1, 0xfb74b497, 0x8e126ae4, 0xd3a9cdf6, 0x1575c1aa, 0xafbf4dbc, 0x71bffa0c,
+    0xaddcc7b3, 0xf22b50e5, 0xb7f5dfc1, 0xaa904bb1, 0xe40a8440, 0x6f7575c5, 0x70de43d1, 0xbdf09112,
+    0x0971b0eb, 0x84ebafec, 0xd35e1573, 0xc4f14d50, 0x7af7ec34, 0xd4cf222a, 0x1cefe8af, 0x76bdad8a,
+    0xe8895a16, 0xfb855500, 0xc4573d0d, 0xe94de93a, 0xa172a63e, 0xa68a3673, 0x0007a7fb, 0xb9248d78,
+    0xf2cabd50, 0x23325715, 0xdb03fb18, 0x1d1c5902, 0x32047424, 0x8f2c39a7, 0x6849796b, 0x33f96678,
+    0xe7c388db, 0xc6d2f91a, 0xc82967ff, 0x98bd91aa, 0x9584f30a, 0x9f277fec, 0xe22287b9, 0xf744238c,
+    0x478032c2, 0x22532fbe, 0xac4f77b7, 0x4eeb2343, 0xbd9317f0, 0x96caea40, 0x2a24024a, 0xeb7be4db,
+    0xb4e7a11b, 0x07328b2f, 0x8aa455a6, 0x213afa11, 0xbe6a6640, 0x5d3d06f4, 0x61b25a23, 0xae7cd6ce,
+    0xaf59ff1b, 0x54d9b2b9, 0x3e79185e, 0xe4bdec4e, 0xdb57cdfb, 0x0ff315c0, 0x402c3264, 0x6432243c,
+    0xcde348a1, 0x77221b91, 0xf3a3c897, 0xd4ee5c54, 0x4664e399, 0x6f265621, 0x1229eacb, 0xb2cb05f5,
+    0xfb0cbef6, 0xb9ec4d6a, 0x86eebfd5, 0x1c9d8822, 0xa3cad260, 0xcf564762, 0xcc77ab64, 0x0c42ca1f,
+    0x987fa542, 0x3baa1ef1, 0xf737e8dc, 0xa0b3245a, 0x79a2e269, 0xa7b9c75e, 0x260d50db, 0x5fd5f62a,
+    0x3dbf1d35, 0xbce9804d, 0x1cb60677, 0x975ac0d2, 0x31e9cfa8, 0x99b6e462, 0x93b55ccf, 0xe814aa26,
+    0x3415263e, 0xaf0620f6, 0x931df306, 0x2c7cc52f, 0x3dc6a4b8, 0xf3573d1b, 0x5c3cf683, 0x42d186d3,
+    0x4b91a120, 0x74b1f59b, 0xe03c776b, 0x40ddb1ea, 0xa87c2711, 0x37d44587, 0x68a0204a, 0xb3c78d3f,
+    0x06e03c3d, 0xfe44cf0c, 0x11997516, 0xf31a1641, 0x8e17c3ac, 0xdb5b5634, 0xf45dd2f3, 0xc1174e02,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000036028797018963968 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6587, 0xb432e474,
+    0x00000000,
+    0x80987094, 0xee49eea9, 0x6ed8aa5d, 0x9fbdd196, 0x59ad7724, 0x1dfe9dee, 0x8ced04d2, 0x2057b0e6,
+    0xe6b6d518, 0x0c2cbe0d, 0x7f5ab647, 0x9d12640b, 0xea024698, 0xbadaf655, 0xe25f0ed3, 0x601f5dc2,
+    0xff8ce155, 0x1fdc8587, 0x60db3fa2, 0x84a9e8e4, 0xb14a8b3b, 0x592960a1, 0x1041875b, 0x6282043a,
+    0x1233e946, 0x15c4de35, 0x75702bbf, 0x9201ef7e, 0x4f800e0b, 0xe5c79630, 0xfd74aad7, 0xf41e4afd,
+    0xb983317d, 0xf1e540f1, 0xb3b65b5e, 0x15696679, 0x1d6cffa6, 0xcb74d520, 0x688f267e, 0x15146199,
+    0x3d065480, 0xa934176b, 0xb56833ae, 0x4a366511, 0x9e5b4499, 0xd351fc21, 0x18911560, 0x9ba74bf8,
+    0x18079b4c, 0x5efd5384, 0xbcf74cf8, 0x187a4463, 0x97d52b6e, 0xbe28c1d6, 0x121f66c7, 0xb2576aae,
+    0x9b186b72, 0x6932d9fd, 0xf8a9ac24, 0xe4838515, 0x928a4071, 0x80464bb3, 0xe101adb1, 0xde1948f4,
+    0x11a2955f, 0x836d9cd2, 0x419c5235, 0x2a35905e, 0xba3986f4, 0x5e507d03, 0xc2111f53, 0x74411697,
+    0xf4ace4b8, 0x79c5985b, 0x0ddb45c5, 0xa8a90697, 0xb7a6f1e6, 0x03e70820, 0xdddf6e6c, 0x78c3a336,
+    0xdfd7bd79, 0xa2d96973, 0x80caf3d9, 0x43bcba66, 0xbfaecf63, 0xe3e5edad, 0x365b17a1, 0x6fd42e7f,
+    0x9c1f5611, 0xcc4b4dc7, 0xb7c3b613, 0x30449868, 0x89393119, 0x6bc23c1c, 0x6545b837, 0x8be05147,
+    0x3c1ef219, 0x9771aadb, 0x61e334fa, 0x863d2aec, 0xf3105c81, 0x1d9f74e1, 0x28943c6a, 0xb4b3defa,
+    0xf28a139d, 0xa7df594e, 0x54a4354b, 0x2a9e2023, 0x98cbb8a4, 0x09e2e50e, 0x93ab7b35, 0xbf314058,
+    0x6fc56886, 0x684af71a, 0x5705d91c, 0x39dbd318, 0x5e75287e, 0x5fb3656f, 0xf96e7197, 0xbb89be57,
+    0xbbf42485, 0xd55bf3d2, 0x671511b8, 0x6d62e081, 0xe965e38a, 0xa0f4cad2, 0xbc8e3e3e, 0x01bfe193,
+    0x2bbb9503, 0xe542c931, 0xf335e540, 0x4570f452, 0x47eaa756, 0x715049ba, 0x2a2a0c94, 0xddc46ec1,
+    0xca4ff6f8, 0x9cfc187e, 0x012ca848, 0x2530aeb0, 0x62338d54, 0x18dd14c5, 0xe1be104f, 0x43c2f40a,
+    0xf2329c58, 0xc26e5b30, 0x7ab343db, 0xf7557b5c, 0x1aaa542a, 0x8cec847e, 0x8badf184, 0x52d3df38,
+    0x9b197016, 0x770e469e, 0x9b6a49ca, 0xccb4501d, 0xccf2526b, 0x9dcc81b7, 0xc48e610b, 0x9d588d3d,
+    0xa3a62890, 0x37e34a4d, 0xf66e4753, 0xbb2be75a, 0x19fee62b, 0x333a030c, 0xde3396e6, 0xee999c9d,
+    0x2686ffe8, 0x56235f1d, 0x851a1508, 0x912fb6fa, 0x04b78349, 0x7fbd7ff5, 0x0ffaf772, 0xc7dfd05e,
+    0x0eace69f, 0x5b67253c, 0x396c4f2d, 0x09d0858f, 0x1add3425, 0x1d21fe59, 0x0a540d2f, 0xd45ce05d,
+    0xb0144c39, 0x530a6ab0, 0x89be8730, 0xef42a764, 0xae0c90f4, 0xc4293200, 0xfb2256f7, 0x37a06dd6,
+    0xd4c05c7e, 0x15188d6e, 0x4abaed4f, 0x23c0e167, 0xe04d109d, 0x2a839f84, 0xdc0b098c, 0xd85da615,
+    0x9d2b009c, 0x29b82218, 0x6097f53a, 0x3167b848, 0xd87df59d, 0xdfc3f3bb, 0xc79fb441, 0x207775b1,
+    0xff870514, 0xfe6ce3c5, 0xe7dc5a06, 0xa13c27de, 0x8cf042bc, 0x41b59ad8, 0xebc249ac, 0xff759fc0,
+    0x629873b1, 0x994dd732, 0x9658a986, 0x4d2da67a, 0x942dcd30, 0x949025fd, 0x90c165f2, 0x46494e7f,
+    0x1c3b4a69, 0xbe94176c, 0xfac5904c, 0x16e682f3, 0x76b17034, 0x105b3c28, 0x1524c252, 0xedbbd01d,
+    0x5473091e, 0xf9c6d94a, 0xc774ec0c, 0x9c8c25ef, 0x9763f059, 0x96a15614, 0x54040d45, 0x0c28d5ae,
+    0x566e00f0, 0xe74d2f3f, 0x7a2fd14a, 0x5ccbe107, 0x422ea11f, 0xe78a4ec6, 0x98fa5862, 0x02e347ba,
+    0x63ce8255, 0x0d81ec69, 0x59ce4101, 0xa882914b, 0x808c9974, 0xb8f041f7, 0x7fe83c7e, 0x8e576d05,
+    0x79d4a3ec, 0x674e4ec8, 0x5136f58b, 0xa87f96e2, 0x5416bda8, 0x6bdf4431, 0xce3b24f0, 0xc2ee3c2b,
+    0x4162ceba, 0xbbe0bce4, 0x9efbd54b, 0x4f28663c, 0xfaf7cedd, 0xcd27cd22, 0x498dee7b, 0x3242ce15,
+    0xcb06a44d, 0xec7d9046, 0xfdfdb916, 0x0c7dde89, 0x012bc63b, 0x226567e7, 0x2528bde0, 0x8a90cf58,
+    0xe97da4f5, 0x1e50b8bc, 0x726e6ac7, 0x41160e0e, 0xebb26088, 0x7bd635a2, 0x525e992c, 0x53aa0268,
+    0x7ac3aa56, 0xbfd076fc, 0xa92b2683, 0x4bfdfb83, 0xd2cbd876, 0xd29c7e12, 0x16fc39d8, 0x35bd731d,
+    0xc4cc2886, 0xa06f4ff9, 0xf6405ebd, 0xd8e89ac7, 0xeb9b2618, 0x95953d97, 0xe879d5e3, 0x1558a0ef,
+    0x6804e33d, 0x912467f2, 0x107bc6f2, 0x402ad682, 0x111e4311, 0x1265e91a, 0x0b07ea11, 0xb11768bf,
+    0x9e08c971, 0x6f23b6a3, 0x43d28008, 0xbde8963f, 0x7ad494c3, 0x6e0d515c, 0xe8372328, 0xf61f0732,
+    0x6c2f6f6a, 0xc0c01bd4, 0x7de538cc, 0x1019fa30, 0xbb917464, 0x9e0d7f4c, 0x7f8eaf37, 0xce82405c,
+    0xd3756452, 0xaaa9fd45, 0x1b4b9823, 0x49d4c7d0, 0x709a9c15, 0x834487f5, 0xa25eecc4, 0x8056a90c,
+    0xaba12832, 0x861ae9cb, 0xdca26cae, 0x2331b3e7, 0xce4de7fe, 0x0fd85da0, 0x903a3d84, 0x3d88c069,
+    0xcf2f8189, 0x8296611a, 0x938d5e4a, 0x14cd4056, 0x5d7f69f3, 0x3ccbf34a, 0xe7a5b1f9, 0x08bc0686,
+    0x449cca82, 0x4d06aad9, 0x7d1cf1c1, 0x8dff0308, 0x7f02b327, 0x80ce1360, 0x9f3b1c48, 0xe70da140,
+    0xc7a33705, 0xf268b4c1, 0x01ccbd44, 0xce81e986, 0x43b1e883, 0x1e704238, 0xc5cb0e11, 0x3e89fed2,
+    0x33488241, 0x06071f19, 0x1d4288fc, 0xa70f1e2f, 0x6b6f9c61, 0x43737d74, 0x9f76431f, 0xdd752891,
+    0xdf0d691b, 0x89f134b6, 0x47818451, 0x0de3d6b9, 0x0ca32752, 0x1e91b943, 0x9a802743, 0x785a7b5d,
+    0xa73b3b35, 0xab933c27, 0x3049c154, 0x9b2b96f7, 0x7b246586, 0x1f71a7e0, 0x168d693d, 0x1e27f48d,
+    0x28863a6e, 0x39e2aa60, 0xa7854a53, 0xb9832c03, 0x1e00c3ed, 0x90b37563, 0x40043f52, 0x32157725,
+    0x03fa6929, 0x531df3ae, 0x213d1dcc, 0x55424d8f, 0x37c28bb1, 0x0a6a44c7, 0x344a8762, 0xb0e6f1b6,
+    0x73eca360, 0x9ac72130, 0xcd60417f, 0xc3af121d, 0x3082cb6f, 0x030cef94, 0xb7442e0b, 0xe2a4812a,
+    0x76779c3e, 0xafa025b9, 0xfe0f69fb, 0xeb0ec83e, 0x761fc546, 0xb1e58cfe, 0xa5d3504b, 0xd7880e98,
+    0x41f5a789, 0x15deaeb9, 0x691112c9, 0xa4b7151f, 0xe620f0dc, 0x995d2d3e, 0xf7fa5017, 0x33cec0f3,
+    0x568df306, 0x69d85d78, 0x4697ebae, 0xd97c956e, 0xb595fe06, 0xc6de3a42, 0x215bd5a5, 0xc6e91817,
+    0xd593021f, 0x2649ab61, 0xc2abb355, 0x8523946f, 0x23da75d1, 0x31bd29a6, 0xdb73bbf0, 0xd5c4ab5f,
+    0x8f194657, 0x757991e3, 0xa7d8e105, 0x425b6cc8, 0x8618fbf6, 0x4139ce9a, 0x0f9c86eb, 0xb1aca220,
+    0xdb381c51, 0x5c4dfe62, 0x956e319a, 0x42dcba2d, 0x41803ad2, 0x7babeb6c, 0x84589910, 0x6cea64da,
+    0x5ddbf070, 0x772bc18a, 0xc1c4b9c5, 0xc5e77adf, 0x1a459127, 0xb2f17a00, 0x67403928, 0xc6779d71,
+    0x6b80a24d, 0xc0d302c4, 0xd08a63da, 0x32d7af4b, 0x1aa0747a, 0x4bdeae06, 0xddf81de8, 0x2cf737e6,
+    0xef63a2b8, 0x77c6e6a2, 0x338e775c, 0x8e2e5628, 0x4020a9c5, 0x60115338, 0x1a21f157, 0xa6d384cd,
+    0xbd86a3e9, 0x7efcaa01, 0x3c95169b, 0x1c48cee9, 0xdb0a4eb4, 0xc43ba25a, 0xe49d3131, 0x5b5968e8,
+    0xac149f30, 0xc98dac0e, 0xbce02f6c, 0x5b9a31db, 0x2a088d16, 0xa78baa17, 0x5efe21fc, 0xdb600e9f,
+    0x20bf58c7, 0x72c02510, 0x237ac47e, 0x18c0e897, 0xa435d636, 0x91a306e4, 0x6b08e6e2, 0x49f7217c,
+    0xc56534e3, 0x05953a90, 0xce636c0b, 0xfbac066d, 0xf35adbe3, 0x9d3a91ec, 0x11f7869a, 0x1cb8eefe,
+    0x498cf2ae, 0x010d780d, 0x346ea1da, 0xf6b3b8d3, 0x1cb984f2, 0xbcd4c132, 0x9f2637c3, 0xb621b827,
+    0xbc7ebcd7, 0xc87f9f81, 0x683538ef, 0x7089f777, 0x7253531d, 0xf39f00ee, 0x8eeaac38, 0xc88be2cc,
+    0x1ac99db6, 0x0426c5f6, 0x93be9baa, 0x97fc6703, 0x857cd0b0, 0x1e9f831e, 0xdbb3f305, 0x4d74c0a0,
+    0x06c2b83b, 0x2c2b1ceb, 0x1495ab8e, 0x72ea1557, 0xa7da4574, 0x4b71792a, 0x74c5bb8c, 0x56938495,
+    0xe4e7b65b, 0xdbb077d4, 0xf879162b, 0x6a76cee2, 0x4d88326c, 0x8cd737c1, 0x3021f64f, 0x4e0825b7,
+    0x10de8af2, 0xb7d51a6d, 0xa6f0ff69, 0x1ce3bf71, 0x7285018a, 0x88b765a9, 0x19f6b448, 0x89694df7,
+    0x4ab9eaf3, 0xc3ae28ce, 0xd198b9c8, 0x9eca7381, 0x664668c2, 0x811732f4, 0x27c9a747, 0x14436526,
+    0x006e7992, 0x72cc4b27, 0x74ad0979, 0x8b5bd35b, 0xa08d66f4, 0x0a8973af, 0x286573d9, 0x4a129808,
+    0x15087c35, 0x8562f0b3, 0xd7d00b1c, 0x2f3f7493, 0x7d2fc299, 0x6a4ad7a7, 0x503850ca, 0xfa3468ae,
+    0xf4610859, 0x80eb7d2a, 0x997eb21a, 0x2fca4dd8, 0xb02d8158, 0x14748eca, 0x9e1cd623, 0x743d974b,
+    0x9587848f, 0x191e271a, 0x396a34d9, 0xb77713f3, 0x3b5ba884, 0x48323916, 0x62bb3159, 0x68cbe10b,
+    0x7225e3fa, 0x5ae556b8, 0xedcd59e4, 0x94fdef7d, 0xe84aea0b, 0xbffa1abc, 0x5ebc3363, 0x471c0c0d,
+    0xd97890d6, 0xc2bc76b7, 0x302b567b, 0x04aa6b83, 0x14edc5bc, 0x794b088c, 0x8ba63346, 0x0e4fab25,
+    0x88d745eb, 0xff118cc6, 0xb04c2c20, 0x899ee10e, 0xfd8b49d6, 0xa2f81cb9, 0xc6fcedd0, 0x6a705b4b,
+    0x4b4ad737, 0x6b8dba81, 0x78304bcc, 0x92580d6b, 0x01c32b83, 0x58a70697, 0x61822c5a, 0x97621f5a,
+    0x927487c4, 0x17bc4a34, 0xd9e4e211, 0xdbf11c08, 0xd6413b8d, 0xeb883832, 0xe156781d, 0xcf75884f,
+    0x020c86dd, 0xdd505bc1, 0x002da75a, 0x835c7b8c, 0x26cca461, 0xb92e325f, 0x8377d4fa, 0xf1d2877b,
+    0xed6df53d, 0xf0023ca2, 0xf2970492, 0xe431c8e3, 0xe9bb111c, 0xd559eac4, 0x27b3e35f, 0x658c55a3,
+    0x30bd4a65, 0x7dfd359d, 0xa5eb449f, 0x02dd7025, 0xb3d9125f, 0x9ebb95db, 0x56803912, 0x9ac3ea7f,
+    0x8da1485e, 0x8271a5c2, 0xbe04b4a9, 0x2c8d6011, 0x3dfd85b5, 0x9401aab3, 0x237b4073, 0x7114ab65,
+    0xd66e747b, 0x07228a86, 0xeb7f2ac7, 0x9e4e47da, 0xe95ef6eb, 0x2a2795fa, 0x6cb89f74, 0x7a75571a,
+    0xcfada955, 0x16f98e74, 0x4a7ee5b9, 0xa7c8f469, 0x1b572e04, 0xa8afb18c, 0x6a4d4ada, 0xa22a034e,
+    0x2a510e51, 0xc6f200af, 0x4fa30670, 0x587d1b4d, 0x4edf8d4d, 0x0311d4f9, 0x778ee2c0, 0x7bc71098,
+    0x8043742a, 0x5add98e1, 0x9568c577, 0x2540e992, 0xc3103dbd, 0x535c2d05, 0x2e1db30f, 0xe199ee79,
+    0x3153d362, 0xea499c8c, 0x7efa8393, 0xd5988967, 0xd85558f7, 0xad4e619d, 0x1f911fae, 0xcfe1c7b7,
+    0x3dee2ce5, 0x3f87b5a8, 0x8ddc3d34, 0xa8911c2b, 0xd7855e40, 0xbda671ba, 0x6601c43e, 0x325cd4e5,
+    0x2c43e9c4, 0x181482d1, 0x1ac46bc3, 0x2e7ae1ea, 0x14b95a2b, 0xb6f26714, 0x27395983, 0x2a2c8b40,
+    0x772e846c, 0x89a3d2c0, 0x66bcafdd, 0x4064bc72, 0x5015604f, 0x00755fc2, 0x869ec301, 0xee969aa3,
+    0xec2caaf6, 0xb76a1479, 0x99f5a7b7, 0x2398719c, 0xfff19d57, 0x65d23082, 0x3cb61f5a, 0xe5beafb2,
+    0x83a3c7a7, 0xa2b8ea1b, 0x591c1fa0, 0x0aefa561, 0x405d123a, 0x0bb4f4ae, 0x4c448e61, 0x1dafaa52,
+    0x86f23bfd, 0x01744661, 0x2fc215f0, 0xce8bff46, 0x55aca07e, 0x626d26a5, 0x57731ab9, 0x0613fe5b,
+    0xfece2232, 0x1ac22fd9, 0x8fa6ed3d, 0x6f26b652, 0xa92fc335, 0xb0c89a23, 0xbe5e5c1b, 0xb0d0d475,
+    0xbbce1fcc, 0xcc99d3b5, 0xb77baee6, 0xe1464f69, 0x858befcb, 0xd7721c36, 0x3dfbeec4, 0x4bef3eb4,
+    0xf3c38dd1, 0xdb3f80e1, 0x14cfbeb7, 0x9ec0b3eb, 0x80977f13, 0xff3423a8, 0x5e2df029, 0x0519277c,
+    0xfabff006, 0x28753d69, 0xa4c12865, 0x80b35b06, 0x19c32fa0, 0xdadb7c97, 0x2705314b, 0xb10b072a,
+    0x4fb112e0, 0xefbebb60, 0x5ea47709, 0xd19a52e8, 0x39386930, 0x0e3f1383, 0x14db747b, 0xc41de4de,
+    0xe4a0ac13, 0x5ab59385, 0x58ed968d, 0x8070d5e7, 0xfedd02f9, 0x9d0c5932, 0x0be515e1, 0xa168986b,
+    0x56120595, 0x3b98d237, 0xe13b3438, 0x14021f38, 0xbe243d02, 0xd9bd5ba6, 0x483e210e, 0x38823636,
+    0xa4e0dc89, 0xbdae8b1d, 0xdf260ce6, 0xdccdebb8, 0x84b6d608, 0x92ba870b, 0x219b6f50, 0xdf66d0cf,
+    0x0b83e388, 0x2e5e6e43, 0xf7280e81, 0xd44487cd, 0xf3de0ceb, 0x01236dda, 0x1ddd59ea, 0x03e8ec88,
+    0x7a0f3ab3, 0x188a78e5, 0x7b56174e, 0xb241fb4a, 0xc9bed375, 0x56709203, 0x7bdf7213, 0xda13cbcb,
+    0x746e6005, 0x7967f285, 0x2fa4d3ad, 0x2611abc8, 0xe7c832a7, 0x40a5344a, 0x796c213f, 0xf6f986f8,
+    0xfebc4334, 0xebe7e050, 0x1421df21, 0x08ece1f4, 0x3c70c101, 0x0784781f, 0x72689c75, 0x9b2cad1e,
+    0xf5f70beb, 0xae6a01ce, 0x1124db97, 0xf82d7894, 0x4cb09399, 0x8561f6a7, 0x16211a4c, 0xe00cf490,
+    0x5d080756, 0xe276089d, 0xce97f63d, 0x707fa1e3, 0x8996b17e, 0x0be9726e, 0x11aa3b04, 0x84329c87,
+    0x7b34aca8, 0xc1aa22f7, 0xc5ed3387, 0xa32ba253, 0x2c366345, 0xedb1d226, 0xf223f8d5, 0x655a0850,
+    0xd4db6a9e, 0xce827bf8, 0x5c5f2c6c, 0x0ee3b6c0, 0xcd99ea19, 0x86cd20c4, 0xcf94499b, 0x7b7bc0f8,
+    0xd0ef1374, 0x8dbeb180, 0x64a364d0, 0xa7bbaaaf, 0xd9e16656, 0x6fe598ac, 0x3b45bd6b, 0xdcd26275,
+    0x2341438f, 0x3ec500e9, 0x95d2b874, 0x9bc4d95b, 0x90443ea2, 0xd4046f0e, 0xd1b37b0e, 0xa414aed2,
+    0xecd822fb, 0x2746ce92, 0xb1a41304, 0x042e1b09, 0x0b2dd3ae, 0xdcf994e0, 0x9aa5ce15, 0xf352215e,
+    0xbf6dab31, 0xef24bf36, 0xdacea562, 0x4974f8d8, 0x381f1355, 0xe8acfc44, 0x4e73ad25, 0xdc71c7a5,
+    0x9bdc0296, 0x18a7d7aa, 0x618a31ab, 0xf146f345, 0x533caa27, 0x737dd047, 0x63c99a3d, 0xa2784acd,
+    0xb4fe52b1, 0xc96fc0ca, 0x61cbf364, 0x67bc4732, 0xfe66ee26, 0xaef14b9d, 0x653d7383, 0xae0cca9a,
+    0x34b46ba1, 0x9c2fd39b, 0xd6af5aa9, 0x53570400, 0x6825c48d, 0x8c9df1b9, 0xfbde0af7, 0x41eb8880,
+    0xb6a047af, 0x77023496, 0x33d2db40, 0x03e33e2a, 0xc1ae9c6f, 0x6a05c9d5, 0xc6639484, 0x631b950d,
+    0xe75dd0af, 0x91e58952, 0x7dae9be6, 0x7c62f96c, 0xbea4dfbd, 0x51e07414, 0x6cb70798, 0xd8d37146,
+    0x1130006e, 0x8367d75a, 0x7fa7261e, 0x16b9372c, 0x57902970, 0x8b5c87cb, 0xcdbef637, 0xdd1bd2d3,
+    0x6216c097, 0xcdd34500, 0x950eb104, 0xaecbfc3c, 0xd40e9c8c, 0x942d9299, 0x6ba83662, 0x767dee65,
+    0xb2c7a5c5, 0x98745b51, 0xa738a46e, 0x7d62eede, 0x4234b7bd, 0x2923b118, 0x936b47dd, 0x00a051e7,
+    0xccf85e4b, 0x06b21642, 0x274c65cd, 0x4cb05681, 0xab2a9da5, 0x6c3a68fa, 0x1562aa66, 0x2acc4b42,
+    0x819a2333, 0xbe918af7, 0x8bf7b6e8, 0x1ff044c6, 0x31e495fc, 0xf8445b0c, 0x82b80484, 0x11bf0b51,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000018014398509481984 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c3, 0xda197239,
+    0x00000000,
+    0xb5709dbb, 0x1362fcdc, 0x3e29a2bc, 0x2b2cd1c2, 0xbb68c01d, 0x14099b00, 0x51819818, 0xf5442c04,
+    0x6c6e38b7, 0x918ab2f5, 0x8936e5d3, 0xaddea9b1, 0x01a5b209, 0x048a78bb, 0xf50067ac, 0xc7a66fac,
+    0x1e944c39, 0xc74413c4, 0x7514d67f, 0xaa8adec0, 0xee262cc2, 0xb29ebfa3, 0xf9c47716, 0x17c0f84b,
+    0x423b068d, 0x0d6f3e6e, 0x594fa911, 0xaf50fc90, 0x1056af40, 0xb9de9d7e, 0x2f0e7055, 0x87531817,
+    0xa17a600b, 0x4ba8919c, 0x2e94b668, 0xde0799f8, 0x2a762e0e, 0xfbe74230, 0x32307c9f, 0xa9d63f22,
+    0x0a4fc95f, 0x456ec439, 0xe61adf6d, 0x1c9e8c39, 0x73be40d3, 0xe7ddb486, 0x50ad83fb, 0xfe1387ff,
+    0x6e271b51, 0x077a0b51, 0x8c484a3f, 0xa77fda22, 0x62d54ebd, 0xdf43cf13, 0x9489652e, 0xde214fc9,
+    0x6b88fc39, 0x1b5868c4, 0xd909af5d, 0x62906240, 0x8f200ddd, 0x1a44028f, 0x10d5ca78, 0xc11c4401,
+    0xeed6e8e0, 0x7eb3b54b, 0x769c6e2a, 0x68ebc9e0, 0xc481a80b, 0xef1fcf6b, 0x5cc42a73, 0xb4115871,
+    0xd608082d, 0xc01a88e8, 0x18b58b07, 0x5e70946f, 0x1f1227a7, 0x7adefdc5, 0x7a7aac9d, 0xa1ce7255,
+    0x590c4465, 0xcb9d0fc3, 0x5aef54e3, 0x3dabc6c2, 0x45dfe074, 0x45bd2638, 0xec1b8b73, 0xa7654257,
+    0x212d4964, 0xe52d55e2, 0x84e551eb, 0xa940a2e9, 0x2a92e284, 0x999dbd13, 0x93fb952e, 0x3eb300ad,
+    0x146881b0, 0xc17c4117, 0x1b73d2bf, 0xafb7247e, 0xe3ce6275, 0xb414b0a6, 0x3fea05e7, 0x1e1d4c1e,
+    0x56015e0c, 0x5848233c, 0xd915de91, 0x984892fd, 0x43405344, 0xad4c5893, 0x2a2f85c9, 0x56ec1889,
+    0x225bf80d, 0x81e4605e, 0x9b54bfa1, 0xfcd31878, 0x349cdda6, 0x6245077b, 0xbcda5e96, 0xd4eff893,
+    0xf94d38c9, 0x514524d2, 0x9ddbc63e, 0xbfefc060, 0xe33418dc, 0xd9901ba2, 0x448d70c7, 0x911bf47f,
+    0xc901c366, 0xee567c02, 0x285c461c, 0x2b428de9, 0xdfe02766, 0x21ac23cd, 0x717afae6, 0xf1521a4c,
+    0xa185d4d7, 0x4a381cd6, 0x368ad59e, 0x77eb52b1, 0x5e708f53, 0x028a1202, 0x6214b94e, 0x55549b55,
+    0xc586b842, 0x8baa01d6, 0x984eefff, 0x054cc5a8, 0x4b93a909, 0xe71d6e69, 0x745cd008, 0xb576a48d,
+    0x84ce2bfa, 0x16c4ce0c, 0x08e59760, 0x384bf71f, 0xd4434191, 0xe0c49b09, 0x19d501c7, 0xfbfae724,
+    0xf849397b, 0x105fcc74, 0xa1cd4f42, 0x57cc9099, 0xdc5086be, 0xd55cdc2b, 0x683b6307, 0xbd9891ef,
+    0x340a3776, 0xf244ed63, 0x34d7c734, 0xff5fca6e, 0x61a0c8f4, 0xd06cec57, 0xd4cae986, 0xc77e234f,
+    0xb2923b79, 0xe047cb04, 0x38269796, 0xb091454e, 0x20c9da0b, 0xb9880d86, 0x020f19a4, 0x6d7055e3,
+    0xc0033da7, 0x1c7ea822, 0x37ecf14a, 0x0cd68782, 0xe4dcbea6, 0x72818bc3, 0xbf834886, 0x3d786b2b,
+    0x771977ed, 0xccaaf649, 0xab5813f6, 0x2b563f39, 0x6a17ab65, 0xc47a98e1, 0x87019453, 0x2a70fece,
+    0x279b5c17, 0x4743e436, 0xd49a727b, 0xc172ff5c, 0x9f8105ce, 0x56cd5b32, 0x65b24ac6, 0xa989cead,
+    0x8ba72bce, 0x9fd07d84, 0x34efa1ad, 0x1850076e, 0xce4a86d4, 0x223b8946, 0xf74d3d72, 0xcd63e2c5,
+    0xe3b509b9, 0x1f99f2ea, 0x03ff6558, 0x4901e1cb, 0x462ce9ee, 0x192e7839, 0xb71c3c49, 0x10b37da3,
+    0xa95bd377, 0x6786e4aa, 0x1a649ae8, 0x471d0eb2, 0xa8db4f10, 0x7bcaa603, 0xf1f0caf4, 0xaa03b3da,
+    0x077fade7, 0xcad524b4, 0x9a2ed384, 0xc104ebaa, 0x184b8900, 0x916962f3, 0xa3469a0a, 0x74eb970c,
+    0x2b90c5d2, 0x5ded1728, 0xceb6ebef, 0x84f1ac72, 0x4dca1806, 0xee687ec1, 0x730599d2, 0x19dae5af,
+    0xcb26d04d, 0xa6ce6983, 0x7261b1d1, 0x55ba5291, 0x5bdf672b, 0x996b0934, 0x517035d3, 0x8bdd6af8,
+    0xf8170b0f, 0x69abf821, 0x9322fdab, 0x6d69c9a9, 0xcf90e4d6, 0xad45018f, 0x6cc07fa9, 0x88aa9b51,
+    0x104fadc9, 0x5cde0521, 0x95b496dc, 0xcfc2f919, 0xeb6b4423, 0xef052ef0, 0x660a8840, 0x05f8da1e,
+    0x1b50defc, 0x7220623b, 0xb7c7db41, 0x2bad30c9, 0xf95f22f8, 0xbdf86b38, 0x229c9bad, 0x6a4a2657,
+    0xde5e069e, 0x3dd04eca, 0xe45cf931, 0x8cc80f98, 0x970fb72a, 0xc6d9d336, 0xba638971, 0x4bdf980a,
+    0xd4e0b374, 0xb1c603b0, 0x4d5e85bd, 0x040b499f, 0x530f4beb, 0x3cc7d8c8, 0xbb5c8746, 0x8dafe166,
+    0xd4c2229e, 0xfb33759d, 0xb367aa5e, 0x10ff9ea8, 0x2fd112cb, 0x37ad5f43, 0x848ca791, 0x292fa98a,
+    0x2567f766, 0x584d1a9c, 0x34d234e4, 0xb589b855, 0xe38478c0, 0x095c7902, 0xad556b1b, 0x559ed6fd,
+    0x8252b26b, 0x50f87c51, 0x9756919b, 0x010a83ee, 0x91cdde58, 0xfeb16e2b, 0xa25ca6ba, 0x8a2edd84,
+    0x863694e2, 0x995c7630, 0x249be5f2, 0x9f28b7b3, 0xb18f422e, 0x1e1f3079, 0xe443b95c, 0x24669218,
+    0x0a8bb78d, 0x87321266, 0x674a594c, 0x8ead0ce9, 0x09b9d74b, 0x022cc68e, 0x7ec0b2b8, 0x056cacf4,
+    0x61d6ce1c, 0x7b42bff3, 0xe26db2e1, 0x59b139f3, 0xa3f55015, 0x355a6c38, 0x835a2c7c, 0xbdd16de1,
+    0xfcd79c78, 0xa55d45da, 0x3b0a5120, 0x4ad69452, 0x6904f6a5, 0xc4fe6b8d, 0x4812a406, 0xcb07e8ca,
+    0x3ad237d4, 0xcc285b80, 0x3c204664, 0xae346062, 0x57b2b910, 0x33b133c7, 0xb15cb937, 0xdf7d55f7,
+    0x2d5c2f38, 0x38b74f2a, 0xd88c6482, 0x366df51f, 0x0690d397, 0x8e9e3d57, 0x8f497cc5, 0x751895ba,
+    0x7bd97f5f, 0x3f836818, 0x5258f8f6, 0x3aed7cf3, 0x011a66f4, 0x52a4881f, 0xe76d63f1, 0xf1928c24,
+    0x4d3fecb6, 0x63ae14de, 0x5065c432, 0x46ebf6f4, 0x225abdda, 0x7cb1ea5a, 0x12d62d74, 0x71794948,
+    0x0be9062d, 0x6eddcd4d, 0x41daba56, 0x34ebbb03, 0xd86beaeb, 0x35ae5bee, 0xab87a50e, 0x1e02dd95,
+    0x54d966e3, 0xa9fc98df, 0x2cd61eae, 0x870caf77, 0x9bc406a4, 0xc8a2f9b4, 0x5f731a57, 0x1de7a2d8,
+    0x0c6939fc, 0x852d0332, 0x36712e25, 0x0889c2ce, 0x14d18b89, 0xb841b100, 0x925c8c89, 0x77d2f2b6,
+    0x7c4d0f4c, 0xc5b11820, 0x06e93f47, 0xd4cb6276, 0x44cc99a6, 0xd60fcc5c, 0x06d72448, 0x4d867fd4,
+    0xdc24b4e3, 0xc7450f20, 0x4dafa24b, 0xa4535445, 0x8dd49541, 0xba1eeb2b, 0x724ba925, 0x545f2d67,
+    0xe008dd9a, 0xf5e921b3, 0x8e44f77f, 0xdbf2f8f0, 0xb5e1d079, 0x71732a53, 0x3b91237a, 0x06f07a48,
+    0x5fdbda50, 0x52303eaf, 0x27ded1fd, 0xacb2d8db, 0x54215699, 0x5c07fcca, 0xba44e96b, 0xb5ea630a,
+    0x3b866f83, 0x9ed1ac07, 0xc2c306ec, 0xa029bcb5, 0x4e8b4b64, 0xb60f261f, 0xd47e02a3, 0x65d4b43e,
+    0x61829df9, 0x6f97a3e7, 0xafcc7810, 0xf5c5fe78, 0x94622dca, 0xb67dd828, 0xf86b9bad, 0x2cc29a2a,
+    0x1693fc4a, 0x5bec3788, 0xead51b78, 0x1d77314e, 0x5c34d236, 0x3d51d99c, 0x761a9941, 0x5d0aeb6e,
+    0xfd1d906c, 0x7b74e863, 0x705e256b, 0xfb8e2d14, 0x2d5fc0d8, 0xd1652027, 0x21f1f786, 0xe59de80c,
+    0x8c362f89, 0x3c478646, 0x6c5dc2fb, 0x3e985b77, 0x935246fd, 0xb025fcab, 0x2d1eb164, 0x915121be,
+    0xbadb8b22, 0xe97a4c61, 0x47ac756e, 0x744b86c5, 0x63a8914b, 0xbcfb942b, 0x20f089ac, 0x009f3966,
+    0x69c12292, 0xdf16af3c, 0x1dda89e4, 0x335ceefc, 0x59816506, 0x01b4c036, 0x2a2fb959, 0x678c1035,
+    0x31fd924c, 0xd7d8739e, 0xb7526299, 0x399f0dc3, 0x4b82f1eb, 0x3b761118, 0xa42097c4, 0x3cc0e8e7,
+    0xea20f461, 0xad9a5659, 0x5cc8dc2e, 0x7405cc71, 0xc87e42da, 0xc7dfbaa8, 0xacc22182, 0xc0b29732,
+    0x4f84de7a, 0x81a14ecd, 0xf597d80c, 0x45d47cba, 0x1e05d720, 0x02beb00f, 0x4b4f5091, 0xb47b4fd3,
+    0xeb7b37f8, 0x96dae9c3, 0x7967fbba, 0x1aceaeca, 0x4f178ce4, 0x4c162162, 0xc7df66f9, 0xcb1bddf5,
+    0x20a2e16d, 0xe8d291d9, 0x51e9c665, 0xaef60fbb, 0xa4bc47cd, 0xb5ceeb06, 0xc7138c36, 0x602ba63f,
+    0xdd18accd, 0xecf614c2, 0x90ab32d8, 0x1eb98d37, 0x291f1ecd, 0x09118fb3, 0xe810db32, 0xade3c894,
+    0xd59eae6d, 0xaf899684, 0x0cf3e0c6, 0xe5936cfb, 0x9d804ac8, 0x384777da, 0x9418786c, 0x2e7146e9,
+    0x8b21c953, 0x1e13c602, 0x6bbfbbfa, 0x4af33d01, 0x0b743569, 0xc1431e93, 0xf0ace3c7, 0x55df350b,
+    0xbb3ce3b5, 0xa4685073, 0xdf104fae, 0x1ecc426e, 0x56a2c896, 0x38d0f153, 0x93c8b471, 0x0c226421,
+    0x366de9f9, 0x38ced904, 0xc50207c1, 0x987f913c, 0x04094aae, 0x0f7063a0, 0x9b5a5e71, 0xd56dcde7,
+    0x82ce1232, 0xb668532f, 0x84f5dff1, 0x16f7e71a, 0xc063733e, 0x288b704f, 0xcb6ced2f, 0xbe03bdba,
+    0x3d667da9, 0x9c42bb28, 0x1746d721, 0x71e84138, 0x733a36a4, 0xf82c8aea, 0x4038eb17, 0xefd1e3fc,
+    0x4997873e, 0x7e01039f, 0x31425f37, 0x31bbb827, 0x82d6dca0, 0x311a6654, 0x74bfdece, 0xe9b73ac9,
+    0xcca99a2a, 0x45089169, 0x6aabd155, 0xce63832a, 0xfb7cda62, 0xfcbfdd3f, 0xfb5e2a6b, 0xa09dc8b1,
+    0x2380e78b, 0xe22a8a64, 0xc43f7b86, 0xdfcd1789, 0x0985e0e5, 0x3f3e12a0, 0x769a5305, 0xcd1fcb96,
+    0x557954ca, 0xce7a8fbe, 0xbf64f001, 0xad2b7fb5, 0x8b22812e, 0xb15da684, 0x9310ad6a, 0xb09e15ac,
+    0xa806cfad, 0x188747fe, 0x0c0d9683, 0xcd6bc2ed, 0xe6839a9f, 0x8e42984e, 0xb44ae0bf, 0xca3cabcb,
+    0x48a490e2, 0xc53bd412, 0xed889df8, 0xdac5ed54, 0xbed447d0, 0x6cd73d30, 0x2544a6b1, 0x51e70fc9,
+    0x61b97a15, 0x55a8ffbf, 0xd6149488, 0xbe0c503f, 0x163f31ec, 0xfeba8558, 0xdf9b8ca9, 0xef397b04,
+    0xd294bff1, 0xb50673d8, 0x7096a288, 0x0a030cbe, 0xba9af56f, 0xe341dc42, 0xa14ea8dd, 0xffe28959,
+    0xdaa84654, 0x2cd2e25f, 0xe5401142, 0x4767caca, 0xa1c03534, 0x8b353b33, 0xc34f3d55, 0x8fb4a061,
+    0x9d3d3007, 0x1e419c1e, 0x75b53231, 0xc5c18d24, 0xd87d68ec, 0x9922f7a6, 0xe9044c89, 0x11ef02f9,
+    0xff433e93, 0xf2aa3f51, 0x7c8b94aa, 0xeb283856, 0x8c275a50, 0x34268bd1, 0xf8c94658, 0x9f0fb3ed,
+    0x1554c70d, 0xb6c37011, 0x0f94c455, 0x3efa2489, 0x9ec982ac, 0xe4ba00b6, 0x55dbe19d, 0x1e7ee400,
+    0x3bb20b41, 0x6b4cc8aa, 0xb1447d63, 0xc9f873eb, 0x7cecba96, 0x089ccb47, 0xf84ae2fd, 0x2e443132,
+    0xe10926e7, 0x4c42accb, 0x9d47d7e7, 0x5ebbf73b, 0x71a94757, 0x50c12191, 0x6e258968, 0xbd5a2635,
+    0x59d348e5, 0x77e75628, 0xa3d64537, 0x04165f63, 0x5d514fba, 0x8c39ec8b, 0x8ebbd899, 0xcb72f14b,
+    0x31b925ee, 0x0ee9e815, 0x149e8efb, 0x4ff3c8ec, 0x7b1318d0, 0x50d5222a, 0x7b359c68, 0x614ff0be,
+    0xafbb2e12, 0x0f97e2e6, 0x04bf86e5, 0x8397d59f, 0xa78cdc01, 0xf522dd22, 0x5575aa65, 0x35ec0647,
+    0x8e22db78, 0x433dca23, 0x8b585fa6, 0x5feb20b0, 0x2d817e44, 0xdb2666db, 0xfca60c8d, 0x6bece29b,
+    0x0cd20fa2, 0x97060540, 0xe2d645ad, 0xbb5f332a, 0x121b44ad, 0x0b4a3bea, 0xfbdda80a, 0x856dd986,
+    0xc00d4ab7, 0x3bc9e4ac, 0xcc161717, 0x8ebd13e3, 0xcd35d373, 0x86c7f990, 0x8ab7878c, 0xdb8b3233,
+    0x72f2c9f7, 0x556de3ce, 0x5e680b64, 0x598a7123, 0xcfa1c6e9, 0x13330115, 0xa8d13149, 0x86cfa0b8,
+    0x65ba5499, 0x4640c788, 0x7fc2c940, 0x00eda340, 0x9a85ac49, 0x085c04d2, 0x842c1dfe, 0xcfdf5e70,
+    0x21bf4493, 0xf1ad4bbf, 0x478743f1, 0xf2e73ffb, 0x8f17cc4f, 0x72533793, 0x2302ea6d, 0x5ace2c76,
+    0xef818ea4, 0xaf110f2b, 0x9d7efcdd, 0xc21704ae, 0x014d8e13, 0xf49d6881, 0xc7f269c9, 0x92338d3f,
+    0xd31647a4, 0x1b819fb5, 0x4972e9e0, 0x976db046, 0xdcb3b4f8, 0x1ed00eb8, 0x97696253, 0x9c1b3814,
+    0x6ae222d0, 0x4030fdc5, 0x3df57b3f, 0x8bfc5f4d, 0xa4de9423, 0x3e2ed2a1, 0x9bd59827, 0x7fc1b014,
+    0xbf751481, 0xcd678bc1, 0x21519017, 0xc81460f2, 0xf511db55, 0x67b3f500, 0x06c6b66b, 0xe682e910,
+    0x2376547e, 0x2bc0dd66, 0xef6d0e15, 0x93347774, 0x8608f815, 0x63a63319, 0x083e03bc, 0xddb44d50,
+    0x1987ce79, 0xa4f3d48b, 0x9a4c697e, 0x7444b21c, 0x8710089f, 0x97380d9f, 0x7ab1abf3, 0x928e2895,
+    0x6f509100, 0xe59504d9, 0xfe33cadb, 0x209fc054, 0xe9346cca, 0x8f466a3a, 0xd6c25795, 0x35d9015a,
+    0x7c7b812d, 0x903a146a, 0xc84c05e8, 0x491f42b0, 0xc3a60c91, 0xe69ae045, 0xe621dfc3, 0xc6a873af,
+    0x4e10c3e9, 0xe1dec822, 0x434fdccc, 0x2515c62d, 0xf62d81b2, 0x440865e6, 0x8542e24e, 0x99d9a641,
+    0x9ad9cb28, 0x07f01ec1, 0x073b615d, 0x5c77d8a1, 0x16585120, 0xf7838918, 0x94a79d81, 0xa37c34dc,
+    0x03324fbe, 0xa6ca7cd0, 0x7fd7a30c, 0xcc195d3e, 0x6d178991, 0xf2d87ff9, 0x59cddd2c, 0x9eda0d43,
+    0xd470006f, 0x8b4b1d00, 0xbb197bc8, 0x06415a9f, 0x7c9719b8, 0x8da08f63, 0xebd34c6f, 0xb4bef7fe,
+    0x0bfe8be6, 0xe8b460a1, 0x54673c75, 0xf4a2bfab, 0xda6b69ba, 0xe71681a3, 0x6ae55e4f, 0xcdc54ce4,
+    0xc75f8f03, 0xed650608, 0x6cd5e471, 0xc8388a18, 0x55be1273, 0x1d1f3077, 0x9bcc30cc, 0x7987259d,
+    0xbed13a08, 0x983181b4, 0x084ccd41, 0xa990a3a2, 0x7e5eb533, 0x81c5612b, 0x76a7d1d9, 0x03dea25e,
+    0x834521ea, 0x0d1bac4a, 0xb74228c3, 0x4a972fcc, 0x985d5a08, 0x1db17f94, 0xf6909a0e, 0x2d83c44c,
+    0xce323826, 0xbf41cd51, 0x97c5c5f3, 0xe7f1dff5, 0x7802a218, 0x7eaec425, 0x6fb2fa33, 0x3cdd0370,
+    0x79edb0f0, 0x81594190, 0xdbec73ed, 0x0261f396, 0x42768077, 0x92d98984, 0x3b688645, 0x8ef5527c,
+    0xcce00c2d, 0xdd2052b1, 0x8546f48e, 0x079ecbcc, 0x21e46ad5, 0x70e05d9a, 0x2559628f, 0xa58d03f8,
+    0x470dbfab, 0xfbb61a0d, 0xe9ff6941, 0x46b904ab, 0xbdf70cdc, 0x064098ec, 0x43638e40, 0x2af1f1f5,
+    0xf79117cc, 0x0baae38d, 0xca34d306, 0x0a913940, 0x50ea67c9, 0xe1a6f591, 0x39aa1db8, 0x9963ca85,
+    0xbf6a18a7, 0xac89b892, 0xdedbc8cd, 0x885805c0, 0x5ab85610, 0xc4ee60dc, 0x321ea2fb, 0x7bd39819,
+    0xc88fcbff, 0xe9c64072, 0x7a6fa3bb, 0x19fe8e16, 0x87bfcfab, 0xc78685ad, 0x8875ac97, 0xba72f585,
+    0xb47a7af1, 0x40a9ebea, 0x5ec00269, 0xa13b13e0, 0x19b956ad, 0x5b7b410c, 0xef926a36, 0x7e9623cc,
+    0x7837da4f, 0x397c8a96, 0xf9c0af21, 0x1310e3e8, 0xf53d93cc, 0x2a3d2841, 0x9b3eb5cb, 0x54dcce14,
+    0x861e21f0, 0xcf28b7cc, 0x456859ec, 0x2901036f, 0x6b670718, 0x520990fe, 0xa9e23998, 0x39d8c40a,
+    0x624cd792, 0x7bc05411, 0xb35b72ca, 0x84192e09, 0x624254af, 0xa6c20645, 0x8615af59, 0x4483fda0,
+    0x72ad45cf, 0x6c73259e, 0x8a010cb2, 0x8787041e, 0x32d59115, 0xe0141225, 0xa82ac77c, 0x20bb3cbd,
+    0x31e49060, 0x49b37acd, 0x11d33326, 0x12e882a2, 0x9162bca6, 0xcfb8daac, 0xfbbb6c2e, 0xc64215ae,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000009007199254740992 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad961, 0xed0cb91c,
+    0x00000000,
+    0x98652e35, 0xee252f47, 0x8fbd6ce2, 0x5eebc0db, 0x1970316e, 0xb7410b51, 0x1ec060f3, 0xefa1c701,
+    0x936ee09e, 0x7e94dfad, 0x87ab090e, 0xfe9d847c, 0x32e8c535, 0x9d6af3c7, 0x3633817e, 0xcebc23fb,
+    0x60e845e2, 0x8313f337, 0xb9b0ddcd, 0x37b91104, 0x4dd3f6ca, 0xe397204a, 0xeb83cfb4, 0x253bac4e,
+    0xb0516f3c, 0x98db726b, 0x5de84c74, 0x15408ab5, 0x513a40ea, 0xc7481b1e, 0xff5e0569, 0xd8c8dc62,
+    0x31e77f5b, 0x625d2ac5, 0x8686a742, 0x42298606, 0x1cb4c500, 0x7db4aa70, 0x5ca03c9f, 0x16346ab9,
+    0x1d015956, 0x4e55d14d, 0xa967a2fe, 0x443dfd10, 0x22cd2c6f, 0xdf90871f, 0xaadec211, 0x88d26f23,
+    0x27f01d40, 0x139fed80, 0xb102a7de, 0x1352c086, 0x913ddddc, 0xb1dbb875, 0x4ff3340e, 0x1149a1af,
+    0xe8430725, 0xc05e7be9, 0xfbc35d98, 0x1008d038, 0x2d61b9c8, 0x04af561f, 0x64016c85, 0xf447b694,
+    0x9a6bbeea, 0x74c6b4e5, 0x6656446e, 0x76dbfc5f, 0xe8f97f3b, 0x3ea7b1a3, 0x34bb5a49, 0xfe0edf1e,
+    0x80267e47, 0xe2835245, 0x3ccb2863, 0x7987db2a, 0x42dac9fc, 0x01833f2e, 0x143668a5, 0x39e8ffbd,
+    0x6caa3c38, 0x4f0c7ba1, 0x6abfacaa, 0x7a387d1b, 0xedea2414, 0xda7fc0b2, 0xa979a2c5, 0xd30bd21d,
+    0xb307cbf2, 0xfaec6c16, 0xd46b2c07, 0x4c138548, 0x867f4b9b, 0xcd2064d2, 0x0aa32d0d, 0x4bff6023,
+    0x93dfbb22, 0x0966930a, 0xd4f366ad, 0x3d5e7803, 0x417a69b7, 0xf7c9cf8f, 0xb2cfcadd, 0xc51ece17,
+    0xc03a1a81, 0x713976bd, 0x7c19b1fa, 0x78520e6f, 0xa17b7f0c, 0x8490ea84, 0xc62bc13a, 0x78946e67,
+    0xa341410d, 0x365502df, 0x189a6ff3, 0x0b4fa6c3, 0x976d77d6, 0x14474446, 0x085a6e9b, 0x471d3f1b,
+    0xd94e3fe2, 0xab3fdf3a, 0x3971bb69, 0xaca5e5e5, 0x5315237c, 0x1c507fcc, 0x999963fc, 0xfb5f3c17,
+    0x22f7d670, 0xcf579596, 0x0c8e5f65, 0x57b2a053, 0xb1a53c80, 0xf8b167fc, 0x24086688, 0x52f827e3,
+    0x320c0f1f, 0x6fb28ed7, 0xe61a12bd, 0x5da29c65, 0xcce007c0, 0x5a46f9a9, 0x57af6506, 0x4ebdb592,
+    0xb76a2725, 0x52bcfee6, 0xa22b8f82, 0xa7bb8b6b, 0x18cb29b4, 0xe2ae66a5, 0x817e7026, 0xadb502e3,
+    0xb3a4c1ae, 0x0d81178c, 0x65edbd20, 0xa6d2a558, 0xca930b16, 0x25c26f32, 0x69aa4cf0, 0x391e2814,
+    0xb0676753, 0xe7805f75, 0xd29ff5e8, 0x67367e1b, 0x926b7706, 0x4e8ba00f, 0xf166d542, 0xc7127db7,
+    0x0992e8e2, 0x5d42223a, 0xdcb5742b, 0xd529e94e, 0x93af9401, 0xf293cbb2, 0xba9fab32, 0x99a21818,
+    0x7411a655, 0xbaee7f7f, 0xe4add0e5, 0x039cea4b, 0xea6daa7e, 0x2b6d7d47, 0x0b474a44, 0xa9b10063,
+    0xfe1ac9a7, 0x69079c52, 0xb8679088, 0x4975d298, 0x2dc48640, 0xb2014d62, 0x87db9eb5, 0x4f334bf4,
+    0x76a71c3b, 0xb4230a75, 0xdaf8f501, 0xf30c1dcf, 0xe1b29d08, 0xf027ae76, 0xe3bc6349, 0x9f30c726,
+    0x8736af3e, 0x56ed8edd, 0x20e0be91, 0x874a5983, 0xa9782ddc, 0xc220d761, 0xc2effd64, 0x5796b939,
+    0x4bbf40ed, 0xfa75bf4a, 0xf130484c, 0x168429a1, 0xa2f12584, 0x55498cbf, 0xe41f27e3, 0x1afcce14,
+    0x044d2303, 0xec1313e8, 0x8c945303, 0x1d50218a, 0x9c3025d3, 0xc276ff45, 0xe4ce9b87, 0x7c0bc29a,
+    0x87f17bf1, 0x8646353b, 0xc41c25f1, 0x3160c135, 0x38e294a6, 0x68dbe419, 0x01d15582, 0x60e677fc,
+    0xa685799d, 0x77c5b486, 0x7eeae304, 0xf0ed8c6b, 0x503395b6, 0xa79a6ec4, 0x57a895ba, 0x08b4e124,
+    0x56d04d2f, 0x7b358551, 0xee3be7eb, 0xd8cb5b22, 0xd5b9806b, 0x563608ca, 0x7bfc8f04, 0x1670c395,
+    0xc7cdc00b, 0x0af3e000, 0xe1982f88, 0xf42b5a55, 0xfda1bcb3, 0x87054aff, 0x29312ab5, 0x8378d257,
+    0x883d6413, 0x3da6ec00, 0xde8a0c1a, 0xffa73f07, 0x2c4367e3, 0x468ba99b, 0x1d94a95c, 0xff2c874f,
+    0x09210cee, 0x530a5db0, 0x1cfb7b3b, 0xbe42baa9, 0xbd1f0e9c, 0x9577d757, 0x19f918b2, 0xbbbafb22,
+    0x5089c858, 0x7f5c9d69, 0x17110f7e, 0x56ce3b31, 0x77861bf4, 0x8c229606, 0xf061b084, 0x693d7462,
+    0x18610ec0, 0xcb253705, 0xbeb1b99b, 0xd1a281ad, 0xf7c03cdf, 0xecb2badc, 0x607e32a9, 0x1d574b86,
+    0x4486f106, 0x397aff0b, 0x5db9a61b, 0x73cd3d0f, 0x41eda04b, 0x4fe1e232, 0xe99e34f9, 0x7ac49e4e,
+    0x88e01633, 0xe422bb08, 0x522d9451, 0x8604861d, 0x0d3e9c52, 0xd7b8fde4, 0x7fffa555, 0x5ad62687,
+    0x9529e57f, 0xe0bfee9a, 0xd4ef6768, 0xd177e333, 0x0621b191, 0xfe6b4d2e, 0xd7ecf68f, 0x2da892d7,
+    0xa5ab29e8, 0xc685217f, 0xe55bbe98, 0xc2bdfb98, 0x417d95ef, 0x480d994e, 0x087753eb, 0x1a82823b,
+    0x553ab069, 0x4cfd4028, 0xa50d1d08, 0xb7957968, 0x83908bb7, 0x35cac51a, 0xef90274b, 0x91d1fdf6,
+    0x20aa2c4f, 0x54891814, 0x5de31da6, 0x1b8db656, 0x9760c690, 0x68e81fd8, 0x5131a3ea, 0x35a56e2e,
+    0xf91a9dd1, 0xd332bce2, 0x7400ca79, 0x7dadd3ba, 0x766b76cc, 0x478fef78, 0x2d022257, 0xbcd5912d,
+    0xaae6b95c, 0x8bae8290, 0x74b826c6, 0x00e5ae37, 0x04c2fa94, 0x6cee9b97, 0x05882963, 0xd58c6295,
+    0xc9422cac, 0xfb842215, 0xb135ce80, 0x7fe80fbe, 0x249cb562, 0xbf74a24d, 0xaf7a6542, 0x9efb11e1,
+    0x27c63aef, 0x6ce2b10e, 0xfd1da4c8, 0x24c07298, 0xb15133d8, 0xaee3c7ee, 0x67605de2, 0x46bdcefc,
+    0x819c53a0, 0x603ee795, 0x47f8728a, 0xa11e1827, 0x97a5f768, 0xe3edf035, 0x036f0398, 0xefc889af,
+    0x30c01f9c, 0x668b9823, 0x2ae4a30f, 0xce500904, 0xa0e78881, 0xadbf62cb, 0x4c33ec5e, 0x4b181d80,
+    0xa959f2a2, 0xd8a3890f, 0xfe782709, 0xf7567399, 0xa28f89f4, 0x549a937d, 0x47fb3940, 0xc6ce6758,
+    0x8cc5a3c3, 0xdc26b372, 0x245cc441, 0xa561b7f7, 0xfd8d86eb, 0xce9b44b8, 0x1d4dac02, 0x3ec851fa,
+    0xe721be06, 0x442b997a, 0x4ca8a44b, 0x6f57fa2f, 0xb91d0c02, 0x578aa2ad, 0x4b8d769c, 0xef2df012,
+    0xe1f24a48, 0x0f2823d3, 0x62e69ddc, 0xfb0827c8, 0x02d128b1, 0x06373ad7, 0x4bc6ae60, 0x7e544991,
+    0x0163707c, 0x150963c3, 0x2a93a431, 0xfd65e201, 0x17fb6755, 0xa6dcb0ec, 0xa5c29726, 0x1b2e7653,
+    0x0e6f1318, 0x4b1da408, 0xa31372ba, 0x7bdfbc43, 0xcc41c382, 0x12fae5f7, 0xb36d321d, 0x7d06b2e7,
+    0x3795f424, 0x7333e263, 0x36bd32df, 0x072f18d4, 0x7be6dce3, 0x5a8b2a33, 0x1077cdc5, 0x03e9c59a,
+    0xacf7dfcb, 0xe811a83e, 0x5a569bc5, 0x6949df60, 0xb94ce8b4, 0xbbc70c07, 0x633ce8a3, 0x8eb147b2,
+    0xf18f06a6, 0x49a31329, 0x2a8b2dfd, 0x37c296ef, 0x875b8937, 0xcd407e96, 0x74f228a4, 0x5e65a6a9,
+    0x89204f6f, 0xf66deaeb, 0xcfb1bb5c, 0xba3d787a, 0x35061d53, 0x981b5861, 0xd8779214, 0x91137cab,
+    0xe37ca66d, 0xadd92ef6, 0x18242847, 0x15c59989, 0x65743535, 0x25047816, 0x34697a32, 0xac6d68bf,
+    0xbed2d31e, 0x8a27fef8, 0xd8f18975, 0xf2fd4af8, 0xcfcc5cf8, 0xd5417d70, 0xa5c4b59e, 0xfc0c11f6,
+    0x7b456fe2, 0x2697a198, 0xba26569a, 0x71592f14, 0xf5ddf35e, 0x11057c8c, 0xd53ca73a, 0x9f899481,
+    0x09b39d9c, 0x68694031, 0x263de9eb, 0x552d5d1a, 0x3994e471, 0x00eabeab, 0x313121d5, 0x922ec438,
+    0x09451a9c, 0xca5f36a6, 0xcc8c786a, 0x706fcd13, 0x0b39bb80, 0x44592644, 0xb614ba3c, 0x6fcf1bc8,
+    0xff2853b9, 0x3d7134a8, 0x93e476e3, 0x100b6003, 0xb3d83492, 0x73885c6b, 0x0793e344, 0x8ee01e86,
+    0x8666358f, 0x9059387a, 0x4dde1132, 0x1d9432d1, 0x0003a84b, 0x6268156d, 0xff0e653b, 0x57cd6119,
+    0xee5507b3, 0x89056dda, 0xe5496bbe, 0x6970c42b, 0xc6a7fdf9, 0x8afe1fdc, 0x7b07af81, 0x187b64e5,
+    0x927ddf59, 0x0a6734b0, 0xfbd3dd55, 0xf91da7ff, 0x003bfdae, 0xdeebabbb, 0x26cebc1e, 0x129d4469,
+    0x21868415, 0x9bce3830, 0xca1904e4, 0x7b759eda, 0xd0eca6f3, 0x2402abbb, 0xad51754b, 0x008d09ab,
+    0x03635b08, 0xef3f8dc6, 0x20a8bfea, 0x38ae878a, 0x0822790f, 0xf099f7a1, 0x1fc7b1e2, 0x53cd75fc,
+    0x250584a7, 0x0967fade, 0x265841d6, 0x6a8f95a5, 0x6c84cfba, 0x9dec8cd7, 0x6ccb8ea9, 0x6466be27,
+    0x3141794a, 0xa6612303, 0x5f630ad9, 0x1b7b9d16, 0xcb0ff0ac, 0x9d69b271, 0x21a7b68a, 0x53e6658d,
+    0x48c91da2, 0xff36da6a, 0x8e489e1f, 0x34a59998, 0x9c5843fe, 0x404ce703, 0x7f129313, 0x77aa035f,
+    0x6805401c, 0x86c7fe3a, 0x41184962, 0xa52d5108, 0x7c5556d1, 0xb171148f, 0xda2921c4, 0x074dde6a,
+    0xfc220bde, 0x5b880040, 0x29e2b009, 0xa78645e3, 0x0b5a280e, 0x73f567a5, 0x5876f468, 0xcb533e37,
+    0x1ca89297, 0x1cf023a5, 0x377f15fa, 0x7c4b7892, 0x74d0d283, 0xcc49afcc, 0x531118ab, 0xb17d7f45,
+    0x33eb54df, 0xf685405b, 0xa56457f5, 0x500eb641, 0xcb85372c, 0x0e9d52b5, 0x2d4b347b, 0xab8bd290,
+    0xce2b6a59, 0xaf70e3c1, 0x93855c19, 0xe6e21634, 0xbbc10672, 0x5c92a49b, 0x9430ffc2, 0xc8c39092,
+    0x270a865a, 0xa22d4ed6, 0x8517dd76, 0x18a6a2a5, 0xf751d0db, 0xd43a55f9, 0xbd7bc60f, 0xf8f63c52,
+    0xebd0a1e2, 0xf5aee48d, 0x6c77e299, 0xda90e88e, 0x99035a88, 0xed1c167f, 0x39ad6946, 0x4c322e3e,
+    0x7ca0d00b, 0xfb145b6b, 0x08e8a0d0, 0x0f5ce164, 0x8be9fc3a, 0xcc55dc58, 0x33a59560, 0xe19a2c06,
+    0xac3f5e0b, 0x61a3ffaf, 0xb8406587, 0x1db3b558, 0x5a8e091e, 0x867f22aa, 0xfff83c88, 0x087accfa,
+    0x682ba7fa, 0xd7696e91, 0x2afdaf12, 0x5be498b3, 0x470ad542, 0xf7d13534, 0x7e6f5ffa, 0x8bbec00c,
+    0x9405042d, 0x0eb6782a, 0x90c01736, 0xddbcbb9e, 0x9cf30cfd, 0x4d92d102, 0x34e57301, 0xb829eb94,
+    0x13af9065, 0x168804eb, 0x8ddb7d4e, 0xbb1e8fac, 0xc7f6b5c3, 0x1f597067, 0xafbe8876, 0xf37e7883,
+    0x1a990dac, 0xab6ed521, 0xaba65d70, 0xa7b1246a, 0xa7bf74a9, 0x77d83627, 0x577d3ec2, 0x84cdee5b,
+    0x5b831aa1, 0x1991048f, 0x90286f96, 0x93d1c893, 0x12b2131a, 0x55fac2b6, 0x6ef7852f, 0xdfdafb51,
+    0xc3e11f39, 0x83f76d6c, 0x52c4d0c8, 0x291b39df, 0xe5923158, 0x6d446d99, 0xbe28836e, 0xda300801,
+    0xe394658b, 0x3912d6ac, 0x02e840c2, 0x8ef1e9b8, 0xbd5fb2f5, 0xdfc0f5b0, 0x415a5fde, 0x10a36606,
+    0x9fecdf7b, 0x449f65cc, 0x331d63b7, 0x6314cc9f, 0x47f30408, 0x4233b6fa, 0x86b9293a, 0xfa70c796,
+    0x6cff0b64, 0x6ef1e7f5, 0x094c3de1, 0xf1e24f6f, 0xf03b2f3d, 0xee67d6eb, 0x2c0c29bd, 0x7f8bc852,
+    0xd9518d63, 0xa37f1e26, 0x4a7e09df, 0xb00306fc, 0x671ac9d6, 0xd99fdc0f, 0xbc9b13a7, 0x4f716faa,
+    0x9dfc6734, 0xb499bef5, 0xfd401abf, 0xf98e5117, 0x533737e3, 0xa3e6499f, 0xbc796268, 0x8a7901a3,
+    0x75883622, 0x34f4a98d, 0x21ed6294, 0xe96282e2, 0x4dc48d45, 0x5d6d0685, 0x1e72c2ca, 0x88ec7730,
+    0x1a28081c, 0xcaea66d8, 0x8de04b18, 0x3cc0bf67, 0xa3dc96d0, 0xf6d3876c, 0x10093710, 0xac379667,
+    0xc17f927a, 0x46ff94d8, 0xbdddef37, 0x02a860e6, 0xe32f5974, 0x6264afe7, 0x11567807, 0xabfe83ab,
+    0xc8666333, 0x60b0d330, 0x732d028e, 0x490feeb1, 0x39327965, 0x3920d1c2, 0x436b6a4a, 0xdbd6fb33,
+    0xb5f5cff2, 0x147a5360, 0xe5010d2f, 0x2535f6dd, 0xffc7eef0, 0x9d9add5d, 0x7b4e6d6c, 0xe30b1913,
+    0x604208e8, 0x30e99c48, 0x2ddb6208, 0xb8c0d0b5, 0xf82ba144, 0x935114fd, 0x6f28dfe3, 0xf5020e78,
+    0x394a7859, 0xe0ace5ee, 0x9d10593e, 0xec0529c1, 0x339bd6d7, 0x6a851076, 0xd4a7e117, 0x5f053a67,
+    0x9c121d12, 0x96c395bc, 0xefb2ce30, 0xbbd0393d, 0x444a21d7, 0x15af33a5, 0x7eace3d1, 0x99e00471,
+    0x84301c09, 0x2af96c56, 0xfc9b507b, 0xb5735bdd, 0x2f3eb794, 0x48a18fe9, 0xb0c3d986, 0x1a18b2cc,
+    0x1f6b311d, 0x1abbcea5, 0xdec71cda, 0xd1e986ee, 0x38781e2a, 0x34dfba61, 0x9a853b24, 0x73abd663,
+    0xa64e5161, 0x92b07b8f, 0x09fa726e, 0xc9bd0c6e, 0xa94bdba8, 0x2a517d5b, 0x16af2acb, 0xead90a2a,
+    0xb9b5e5f0, 0xfba3f8ed, 0x6644732c, 0x097b8c8b, 0xb34bf78a, 0xc04476b7, 0x0e803749, 0x77370957,
+    0x530897d6, 0x733b8b77, 0x5a46f27b, 0x538c1566, 0x67f466dc, 0xfc122d68, 0xea23f346, 0x3c2af59d,
+    0x4210841b, 0x9c5c0709, 0xfabea4d2, 0xf34674d8, 0xfd178d5f, 0x6396ab25, 0x190f33ab, 0xcfb71481,
+    0x012a301b, 0x17d4a8af, 0xbf215a51, 0xfc78c13a, 0x8e73af72, 0xeeee16f9, 0xda19945b, 0x1161a193,
+    0x60720a2b, 0x17e6fa82, 0xca126960, 0x41d99ae7, 0x7f4457c1, 0xdc7244b4, 0x30eadd4c, 0x5631b75c,
+    0x7174082e, 0xebdf14ad, 0xf9906183, 0xe3596c95, 0x5e4be595, 0x4d85a368, 0x251916c9, 0xcd8b8a6d,
+    0x01086258, 0x3d333bb9, 0x4f380f8d, 0x29b1e30c, 0x62e2519a, 0x4e34f7f8, 0x57aa4c8e, 0x98c7d5a2,
+    0x9db55485, 0x3447ffed, 0xa142ffcf, 0xa14518f2, 0x5a92b317, 0xb2ea9c8a, 0x69663ce8, 0x84543d33,
+    0xab53d35f, 0x1c217df4, 0xd1e2c41a, 0xe504e50a, 0xf6da23c9, 0x0a4aac32, 0xaa5d71fa, 0x171acff7,
+    0x0b801d4d, 0x9f9ae8e5, 0x5f621034, 0x90656632, 0x087cc0e9, 0xd30857f4, 0xab85d244, 0x06b43541,
+    0x90860d7e, 0x399e080b, 0x91783aa0, 0xfbd92b40, 0x7d8d0ce7, 0xa4bc7962, 0x5df0cc1d, 0x90c90ff3,
+    0x08f6bc88, 0xdbd421a4, 0x15c5c246, 0x391f62f5, 0x3d7f738f, 0xfe41247b, 0xf717138b, 0x36e774d2,
+    0x6d451db6, 0xc1ce2401, 0xa5bbc7eb, 0xea0ba06c, 0xd5c17762, 0xf295048c, 0x40c3d91f, 0xf423db23,
+    0x907f24d1, 0xe9c04114, 0x78bba22b, 0xb717c73b, 0xe02b0fdc, 0x8d234a3a, 0x2cb49127, 0x6d10906c,
+    0x8f612cc2, 0x6200f8ef, 0x1b4a58d8, 0x4aef29dc, 0x10dcd0a1, 0x568b7758, 0x04533bbc, 0x5c1ab25c,
+    0x823323d0, 0x9141e67f, 0x42952d9e, 0xf6bd448a, 0xa7efd71d, 0x4b1b8a05, 0xefd1001f, 0xc9a6d879,
+    0xdbdeb531, 0x5e88fc85, 0x2b937c3d, 0x050bfe55, 0x78b843ea, 0xe03be4a4, 0xc0a40941, 0x400c7e16,
+    0xcf5dd3ef, 0x223fcc83, 0x8130b429, 0xc900c18c, 0x5a5c56e5, 0x866b52ba, 0x11f33c08, 0x4aeb4c08,
+    0xcab20d2e, 0x2cc4cad8, 0x5c1bfc51, 0xfa375f97, 0xc102eb75, 0xb7e9c412, 0x48320966, 0x4d86a9b5,
+    0x59578939, 0x2fbe906a, 0xef0e17a0, 0xf80fcfb3, 0x83d93b65, 0x006bbc42, 0x7b169d28, 0x5770970c,
+    0x6f610dca, 0x3ef67ae8, 0xc67c9707, 0xec5c02c3, 0x5bdf01f2, 0x7d48d116, 0x48654e3d, 0x6db7b298,
+    0x089a7426, 0xe96530b7, 0xb878e768, 0x4ce45d72, 0xfcd1c516, 0xabea4899, 0xf23231a6, 0x3c2426b0,
+    0x2e124ceb, 0x206940bb, 0xf108f9ec, 0x4d3b2cf2, 0xb9c009d8, 0xa0806de5, 0x0ef0a17b, 0xc9ea0242,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000004503599627370496 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56cb0, 0xf6865c8d,
+    0x00000000,
+    0xc5847dd1, 0x2dde2c79, 0x604304a1, 0xdf7c37af, 0x00d8ed55, 0xaa50a16e, 0x2a81a6d3, 0x5412632d,
+    0x051c5915, 0x16ea578e, 0x0cb74b72, 0xefc49318, 0xd5e57878, 0xd332e161, 0x809a29be, 0x09164014,
+    0xd327640b, 0x5e551a1f, 0x1ab4f3f5, 0x73d88d01, 0xca76d5f7, 0x95f5fdde, 0xd4de3237, 0xa458506e,
+    0xe779b42d, 0xb68f21a9, 0x0166a87b, 0xecdcf4bd, 0x17ae2aed, 0x4d5afb0c, 0xb3b34dc3, 0x0fbba97a,
+    0xa9814423, 0x4a0389ff, 0x09902a7c, 0xba3a2a90, 0xc119e042, 0x6f49f1df, 0xbc838d3a, 0xfe3a17d0,
+    0x4e391e79, 0x530b9294, 0x8d47d502, 0xa7eccc48, 0x50b1e910, 0xc80ca599, 0x860aaff0, 0x6a1502c9,
+    0x6ea535df, 0xf7ab3a18, 0x38876475, 0xf1d040e0, 0x60f9ccb9, 0x3442323e, 0x2615fd4a, 0x8892ad1a,
+    0x36cce278, 0x76db92cf, 0x09706491, 0xf1330469, 0x4cee241a, 0x43f50606, 0x9195d30e, 0x11846879,
+    0x0ec0e136, 0xe8a58857, 0x77a46faa, 0x23836c20, 0xb7167d94, 0x2dc457b8, 0xf719dc4c, 0x3d02ebdd,
+    0xc37d9006, 0x7f86fa0f, 0xf8084952, 0xc0e3b955, 0xc81b719e, 0x77fc0034, 0x156f1d7f, 0x8b243678,
+    0x6a5de815, 0x4be13df7, 0x3f332c5a, 0xf6596211, 0xa74656dc, 0x8a1c352d, 0xa0a0e823, 0xf5a23e07,
+    0x14ee1ff3, 0x2d856162, 0x655a0308, 0xa4fccfb4, 0x6cca26af, 0xe9018a36, 0x9ebf4a7d, 0x165b271a,
+    0xc477cad1, 0x56bc7ad9, 0x123f9edb, 0xa6d78d03, 0x11d688f8, 0x19b75280, 0x8e5689fb, 0x9c230ff1,
+    0xe9592319, 0xe6c45a23, 0xe679ea1e, 0x9fc78ec0, 0xc0272854, 0x713d010f, 0xc4ff3198, 0xf0373352,
+    0xe0c0ad88, 0x554cfe18, 0x39c5f720, 0x65ac4227, 0xa86b3e17, 0xb3966cb6, 0xcc45bf4a, 0x9f975f3a,
+    0xc77c9530, 0xf5fb93dc, 0x08d2f2d5, 0xdc7974ba, 0xca8744d3, 0xc3bc41dc, 0x0ef939ea, 0xfb05328b,
+    0xe4101b42, 0x11207299, 0x46beb4a9, 0xdd1e2561, 0x0927da9e, 0x5db71bcd, 0xf51c5ea2, 0x431c3b8f,
+    0x2033d1aa, 0x1fa6a7a1, 0xe8b5f0d3, 0x6455cab9, 0x03dc4dc2, 0x54f6a72c, 0x7203fc98, 0x0c68c108,
+    0x2bbb63b0, 0xd44415a6, 0xfeacbf14, 0x3d281f78, 0xc241840b, 0x834a7801, 0xad28f6e0, 0xc84cfc79,
+    0x90d52bbf, 0xb9d08d90, 0x00443742, 0x619efcad, 0xcd6de8c2, 0x8f4b5b29, 0x4708ad10, 0x11f2ac7f,
+    0xc248d9b7, 0x1cb4927b, 0xbe779a72, 0xa2b5e337, 0x7b2b2f17, 0x49645e80, 0xd9284f39, 0xbce8a5b6,
+    0x98ffd787, 0x171b8fd3, 0x176b3f9b, 0x8baa7e74, 0x62f133e7, 0xeb2546ba, 0xa5277486, 0x542d1721,
+    0xf4d480fb, 0xe0946379, 0x1270d094, 0xfe76b869, 0x318f8aa2, 0x438b7d13, 0xb54290da, 0xeabc5c2a,
+    0x9ab6b4a1, 0x9c088fa9, 0x0b66575c, 0x414658bd, 0xfb355541, 0x0a1d5118, 0xfb1875d8, 0xf3613654,
+    0x98be7a38, 0x7ff1d9a1, 0x5c055842, 0x142cf380, 0x4d80dd11, 0x6695f5f1, 0x283a4252, 0x3b508abb,
+    0x6301a4a9, 0xa2ce5fbd, 0x781ef4ff, 0x33a4441c, 0x0574f947, 0xa1955484, 0x6d3a2bb3, 0x11394963,
+    0x76bdc4ca, 0x8dcd98bd, 0xde05afbc, 0xbfd3a973, 0x0071c14f, 0x2051b983, 0x693604ab, 0x118e4768,
+    0x61535735, 0xc45b86c3, 0xdb40c3cd, 0x5ad9f6e2, 0x37a79220, 0xe661e991, 0x0acc50ee, 0x27086e89,
+    0x508e053f, 0x82882c7a, 0xabcd1f92, 0x997d6023, 0x50951c26, 0x98a6dcd8, 0x072c167a, 0xb3635b8d,
+    0x8eeed8fb, 0xfa81d89b, 0x225c04ce, 0x41830db5, 0x92c44275, 0x756792db, 0x9df3487b, 0xe3d4a1c8,
+    0xcd36b794, 0xd858261e, 0x4408a219, 0x1e45e8f7, 0x3613e2e3, 0xe29d2cb4, 0x611182f3, 0xacf19420,
+    0x89807241, 0x61832f5e, 0x67b54ea8, 0x227076c5, 0x0ee01f4a, 0xd28ce9d9, 0x4419462e, 0x71f66edc,
+    0x635fc352, 0x51b71e6e, 0xf24d4c0e, 0xa9501075, 0xe403e971, 0x27c8bf43, 0x49332bd4, 0x55e057d3,
+    0xc48f44ca, 0x2baeb50e, 0x3162c486, 0xb9ee0c10, 0x36da1bba, 0x89bc3d90, 0x15357d97, 0x5865c087,
+    0x4ee6b7a8, 0x53667c4d, 0x31fcc045, 0xe80e8be2, 0x2909e0ee, 0xd44986ee, 0x910e92df, 0xabc50b7d,
+    0xfd201ba5, 0xfca2509c, 0x4a4a8cb3, 0x3c56814b, 0x062762f1, 0x90d94e7f, 0x92effebb, 0xbfb22e2c,
+    0xef5e5cb9, 0xaebbfdba, 0x375c41f9, 0x6cda2a32, 0xfb9950ea, 0x1c8f8ecc, 0xa9dd3c19, 0x19998dde,
+    0x29299b1e, 0x472e267d, 0x6e40ef4b, 0xe9e4e6c4, 0x96c9503c, 0xfd60424e, 0x193fcdca, 0x74ab18bb,
+    0xe94a230a, 0x4b801e6a, 0xaeb9d6e8, 0xda4017b0, 0x4be060d3, 0xa00b9dc4, 0xb2f99ade, 0x3cbdf9b1,
+    0x9f1fdf89, 0x93685e3d, 0x0f31ad4d, 0xe91e1bc6, 0xd4980314, 0xdfc277b1, 0x1e83270b, 0x1fb8fa36,
+    0xd81f4ad8, 0xdacd0d93, 0x583ecd8a, 0x3aced865, 0x6eefda20, 0xbacf8d9b, 0x8611d971, 0xaf84ef74,
+    0xccdf4417, 0xdeb8a26d, 0x57dd22fd, 0x01d75bc9, 0x9a8d253d, 0xf9cd9a26, 0x34db388c, 0x8651a176,
+    0x9d5d4e6e, 0xe3c6edc2, 0xbed2189a, 0xc210e1f1, 0xed09abb2, 0x4c0a8496, 0xe61e682b, 0xf5623336,
+    0xd8cb7778, 0xde7261d8, 0xe06a79ed, 0xa4b6168d, 0x3755adc1, 0xcc76d69e, 0x2c048a09, 0x87dae5ad,
+    0x1fadebc2, 0xb1239b4c, 0x3ecff702, 0xd2d6e42e, 0x6631f577, 0x33f25227, 0x8fa2d7ac, 0xdcdea4eb,
+    0xdbe6c39e, 0x1eced7dc, 0x738acfb9, 0x26a4c7e0, 0xc5422f53, 0x48485822, 0xf47b7671, 0x7d48794b,
+    0xaf25dc47, 0x10663dcf, 0xf8d247d7, 0x6938e92d, 0xf4a4d6fc, 0xc4141276, 0x7785d850, 0x0cca036b,
+    0x8b53c0e3, 0xc08cc22c, 0xcd7c1c7d, 0x6118992b, 0x1b3c8071, 0xf425e455, 0xf5cba5c2, 0x4c48beef,
+    0x6589302e, 0xeaeabac6, 0x8ba670bd, 0xe284cad9, 0x85ef531a, 0xb580d75a, 0xe9ea3443, 0xca78fb8b,
+    0x653b8253, 0x75b09800, 0xf362b432, 0xd609d717, 0x893a577f, 0x61a9da31, 0xedd32b8c, 0x98a2ac26,
+    0x1423659b, 0x6a0b86f1, 0x75e855e1, 0xc6b2b03d, 0x140c2319, 0x148ad748, 0xed8f71d6, 0xcc624115,
+    0xa72b869c, 0xa94089b7, 0xf799bf19, 0xe1ce61ce, 0x39057326, 0xb1dc330b, 0x0d46c78b, 0x1f1be24f,
+    0x12cf982a, 0x1830672b, 0x4f79c865, 0xe5462661, 0x995d3519, 0x846a5445, 0xff24c068, 0x96a931c5,
+    0xf522733f, 0x0cfca1e8, 0x7d355a38, 0x692a473d, 0x5a24d5d1, 0xcf39829b, 0x73f0c886, 0x7046a903,
+    0x962c324d, 0xb911bddc, 0xfa272520, 0x5494aea7, 0xa86d7d8f, 0xa2aeabb1, 0xd52d3115, 0xe545f96a,
+    0xbc372dfc, 0x1cb690b6, 0xcb8333e1, 0x62277509, 0x0686d879, 0x4636e590, 0x636cc68d, 0xf2a59033,
+    0x8c8b9bc3, 0x683ff7fe, 0x3a7ab7b8, 0xf8dc71c1, 0xc5f30a09, 0xfa9446f8, 0x4a8b45df, 0x0da21241,
+    0x7ff5f782, 0x89b50b4c, 0x51bd0c45, 0x9fefe8b3, 0x9c83138d, 0xaa7523df, 0x6c9813b1, 0x4af67de2,
+    0x3fe1f274, 0xf396eae8, 0x3c7fb9bc, 0xe3c99206, 0xa0c4a398, 0x249097c4, 0xadcdf334, 0x78aecdb5,
+    0x543618ee, 0x97a69e48, 0xa6a51cda, 0xd7e4af29, 0x6a71b7f3, 0xa5e30f1c, 0x4496816f, 0xf937f832,
+    0xc0c90c78, 0xb1b0612a, 0x4577d3f9, 0x4b5967c4, 0x29a9fa7d, 0xa3ecdcab, 0x122450ad, 0x9a1b3832,
+    0x7d0785a7, 0x4844a56d, 0xacbb7cb8, 0x2ae586dd, 0x237527aa, 0x02f81ab9, 0x9d79a753, 0xba04fa08,
+    0x664f333f, 0xd95079dd, 0x33b5a204, 0x0f236509, 0xab356a82, 0x58e2e3e7, 0x66a8a998, 0x151f7c6f,
+    0x1a498e7f, 0x708747e8, 0xd63e2611, 0x1acf2fe6, 0xd471ada4, 0xa633b4fd, 0x384abe9d, 0x048046e4,
+    0x77ae2b07, 0xa97fc2e1, 0xedbe0245, 0x2c05774e, 0x1cbc72b0, 0xa83d2039, 0xd07667d6, 0xb158bb33,
+    0xcc5dc70e, 0x6e58210c, 0x0b92a5fa, 0x1242e4c9, 0xbe611a7f, 0x99f2271f, 0x12dc4411, 0xc1189273,
+    0xb48c3646, 0xc67f4fa6, 0x18f8f42e, 0x2aeee212, 0x88b9deb4, 0x34dcf17f, 0x87669042, 0x31af9dce,
+    0x578e2738, 0x6b8bae4a, 0xf350edaf, 0x32b286b8, 0x46d61ace, 0xa6b806ae, 0x7a97add6, 0xc014dac1,
+    0xe60164d1, 0x2b591b79, 0x0c051c19, 0x8293a666, 0xbf832322, 0x310568e9, 0x65d08d59, 0x79312a87,
+    0x36c06c8b, 0x4139861a, 0x7aca218e, 0x10a38caa, 0x79f23595, 0x792d7e1c, 0x2bd0940e, 0xa110509e,
+    0xe3ddfd27, 0xb65890a2, 0xb1a71c1e, 0x3851d79d, 0x0b4acb92, 0x46da506b, 0x1cd286cf, 0x4994cbfd,
+    0x02815ffe, 0xc3fd202e, 0xcbfb8479, 0x108ea563, 0x38ca9b83, 0x6ee09f7d, 0x92712e38, 0x75144774,
+    0x093e94d9, 0xb59e0181, 0xeeba0d68, 0x4704605d, 0xa4b18ff2, 0xed1473b9, 0x68ab0742, 0xaec5c5e0,
+    0x9f74f40c, 0x9eef88b4, 0xfac675b6, 0x455f8036, 0x9ca5146b, 0x15dceb4d, 0x597c2e43, 0x765ee439,
+    0x9644dbf9, 0x36e5382c, 0x152b6e2d, 0x0cb4c8ea, 0xeb0092fc, 0xd91197e8, 0x03040b5b, 0xcd47ba5a,
+    0x67269fb9, 0x2f682c7e, 0x93177971, 0xa74892d4, 0xedd2e6f2, 0x0d7ff57d, 0x8aa3a3e3, 0x94536270,
+    0x0ee0db90, 0xc26ae908, 0x282228f0, 0xdd7c9a89, 0xa0fa8c77, 0xc24c6567, 0x7a4898f6, 0x69577cb1,
+    0x7fc1043a, 0x22097f5f, 0xbc56fadd, 0xeaf13821, 0xa56b746f, 0x2733a3fd, 0xd0e692b2, 0x880dca1d,
+    0xa2342e5f, 0x05c7c3b7, 0x8466ec14, 0x12f3a575, 0xdae2d8a0, 0xe131d4d3, 0x00c5582d, 0x353a0955,
+    0xee798ad0, 0x0a56d594, 0xa44576a4, 0x9743a907, 0xab0b1f51, 0xa34215f0, 0x6be4f6b1, 0x7943ceb1,
+    0x5fe9b2c1, 0x05a95043, 0x67a0951d, 0x228ac175, 0x12d5b606, 0x0d1b1453, 0xb3c48866, 0xc5d2b77e,
+    0xdc07ed5e, 0x2e3a0b12, 0x67fcb2c1, 0x1e736d05, 0x45671a85, 0x4cff1e68, 0x374b692e, 0x4faf3c4b,
+    0x2bf4c5a1, 0x380d1243, 0x24ef8a44, 0x1dfb9469, 0x5dd73518, 0x8cb90724, 0xba223170, 0xcece46ee,
+    0x442fddf3, 0x8980d4af, 0x008d5f70, 0x3562b0db, 0x7c153782, 0xb3280983, 0x8b6f45fe, 0x9ba3127e,
+    0xa4ef3b45, 0x6f9406d7, 0x2c4b2662, 0x169ddc53, 0xe704ed3c, 0x94c4e197, 0x0acf9313, 0xc9778254,
+    0xd89e9fa7, 0x7d617024, 0xfbbd6abc, 0x37effd92, 0x91b20c5d, 0x18ff0de5, 0x6b5c332c, 0xf38ac8a5,
+    0xc90f4d8b, 0x5f8e6959, 0x1d310320, 0x92ccfc7a, 0xc01ba8a7, 0xa7abcdac, 0xd48e798a, 0xf37c29ad,
+    0x9d2b98e3, 0x985d49fc, 0x933ae805, 0xe2d96864, 0x7ce78ead, 0x6c8cdac2, 0x422e5117, 0x4c3a9395,
+    0x16ab9bef, 0x2b131cfb, 0x3eb0c1a2, 0xb82f5d17, 0xb7e15969, 0x2448a9f8, 0x7bb35ee1, 0x4a0e14d9,
+    0xea683f85, 0x4d77eb84, 0xfeec2cd5, 0x23602af5, 0xa7f8607c, 0x331f4849, 0x7ab76cc0, 0x81d75304,
+    0x7b70e352, 0x49f63c6f, 0xfbc86c87, 0xe4ede354, 0x0796d9b7, 0x13dad289, 0x4f64949a, 0x2c41ee25,
+    0x9e0a5f12, 0x592ff0b3, 0xbacafbd3, 0x3c706f6b, 0xa5caf681, 0x47e6ae21, 0x8ac355dd, 0xa30be3ef,
+    0x51b6ba80, 0x64fff659, 0xfcae3a94, 0xa8bbbf7f, 0xe81a6440, 0x5a104c25, 0xb1d35a74, 0x1fe7fcb2,
+    0x8c7be766, 0x34eab63e, 0x1a95bb9f, 0x8c8bd80b, 0x7dbc209e, 0x3280e879, 0xbd8b96dc, 0xf36830fd,
+    0x2e721390, 0x6aa7f473, 0xdf148901, 0xae419510, 0x57326025, 0x0714546c, 0xe472779a, 0xce78a5bb,
+    0x2148e973, 0x97daf6e2, 0x91ee152f, 0x5f99a2ea, 0xdc6e7855, 0x470e3c3e, 0xa159d511, 0x4fd03b22,
+    0x406c9176, 0xe3820bc0, 0x9bde8ef2, 0x6aae58f6, 0x93caf35c, 0x8c37bd2c, 0x19b79906, 0xab370d8c,
+    0x7e02564c, 0x7cd1a3b9, 0x0239ff48, 0x880d293a, 0x4daa311c, 0xc62566bf, 0xfcfae3a7, 0x9819915b,
+    0x20ed214c, 0xf79ff613, 0x509d7db1, 0x2e528bd6, 0xe613aa07, 0x6f48c235, 0x7cd38378, 0x08f9c6e1,
+    0xf7b89f6c, 0x0c070d10, 0x35088969, 0xaf4408bc, 0xdf29bfee, 0x67f3f633, 0xa8f0a318, 0xc0d94b09,
+    0x0f92117a, 0x37a508c7, 0x694dec85, 0x6a9f7564, 0xa164bbc8, 0xa1b27ea5, 0xf1fcfc00, 0x92e09dac,
+    0xa216bdb2, 0x4ae9f32a, 0x6b3dcd4c, 0xb4c8e2bc, 0xbaf4a638, 0xf4516fda, 0xa16b45f8, 0xba9b5fe0,
+    0x46a51a6a, 0xc8912267, 0x59281268, 0xa93e62cb, 0x9132142e, 0xc8ce268d, 0xf237df8a, 0x641c7c1c,
+    0x0b0002a7, 0x03eea3c2, 0x1108b624, 0x804487aa, 0xa3302410, 0xb948cac7, 0x551cb1d6, 0xfcdba43e,
+    0x10e06556, 0xf7a5b3f5, 0xe524d185, 0x8e692b70, 0x076c85d5, 0x0f01c70e, 0x5b5cb85c, 0xdfbe7b72,
+    0x5f895e75, 0x8e12d4ac, 0x2050b5e7, 0x766cd0f7, 0x0042fc5c, 0xc32b8494, 0x4b0487dc, 0x26526308,
+    0x15e40338, 0x4eba7057, 0x7df77ced, 0xc19c7335, 0xbef717d8, 0xb01894fe, 0x904b9e34, 0xf07402c6,
+    0x4d5ad033, 0x62db54b0, 0x2e7e0a08, 0xb6ca82fc, 0x823541db, 0x071fa12d, 0xc83be840, 0x50bbccf9,
+    0x417dca59, 0xb6f22658, 0x71d551cf, 0x12380808, 0x2af45db1, 0x0511e623, 0xda7ee510, 0x5f80ace0,
+    0x4ae1862b, 0x5c8ea938, 0x0ba11cf5, 0xe92de9f1, 0x06eb5313, 0x9d8bbdfc, 0x3e694b7e, 0x190a8ad6,
+    0xb0fcd267, 0x44388ec7, 0x6dab3a56, 0x05fdad22, 0x37023105, 0x518482d0, 0xd0b66c0b, 0xa045d37b,
+    0xf7821452, 0x859a4ea3, 0x35ced9a5, 0x9913b05c, 0x812e4ea0, 0x3225be94, 0x0aca011b, 0x8a941485,
+    0xd1f4805c, 0x90c13e2c, 0xd6a5b3ef, 0xa0bedeea, 0xe5ded8a1, 0xb825d5fa, 0xf06a7302, 0x5ebb1b43,
+    0xc33ed33a, 0x8d775ee1, 0x881ad49f, 0xccb37c29, 0x66eb05f9, 0xc6e9cf46, 0xc6441f5e, 0x8bc98ba5,
+    0xe0d6e59a, 0x6f45db5e, 0x81fc9edd, 0xbf9d7a2f, 0x2c6d12de, 0x631ea076, 0x4f029089, 0x24729e9c,
+    0x1cd0325b, 0xc104b8fa, 0x7c6fd7b9, 0x9c0e8fc4, 0xe2d19a3a, 0xf6f762cc, 0x4a49d195, 0xf01c7a1e,
+    0x42a84d1d, 0x0240ecf2, 0x9f56b27b, 0x2c722757, 0xbd821bdc, 0x168c93d3, 0xd46825c0, 0x8c37ff05,
+    0x5722a66c, 0x5005faf9, 0xf2661c02, 0xe029effe, 0xab45136c, 0x36e6cb7a, 0x9fdba95a, 0x7103f4c5,
+    0x5d07045c, 0x5a602471, 0x34eab45e, 0xb76a2e89, 0xf8a438eb, 0xbe8bf197, 0x61a254ab, 0xa4292eaf,
+    0xe523d2eb, 0x41f5b1d6, 0x1d3451b2, 0x3b79341f, 0xac513ef3, 0x802c4288, 0x0c5d7456, 0xa9896890,
+    0x0f118c40, 0xb7b2a974, 0xea5c418d, 0x8bd530ef, 0x9f34eb49, 0xeb98c88b, 0x1190ce1b, 0xefd2c2e1,
+    0xb8ba1954, 0x16cffd01, 0x951c7def, 0x05449ddb, 0x2e7be27a, 0x37ec2765, 0x907fe5bc, 0x0fcea9e4,
+    0x6c87c08f, 0xb45bf367, 0xbe13a3e8, 0xa4cc862e, 0x33d01149, 0x480109cb, 0xe59938f8, 0x9c2d08d2,
+    0x28e392f1, 0xc1256eb3, 0x81e8500b, 0x63c625f3, 0x60cee226, 0x9c84f519, 0xef1206fd, 0x1a030c9a,
+    0x7ca0bb17, 0xbe3cd81f, 0x6cdbd91b, 0x7d67939a, 0xda09a6ad, 0xf6de2b64, 0x515c9ed4, 0x676248b6,
+    0x00f87cc7, 0x16f6e95b, 0x8c14221c, 0x06935eff, 0x73600cd8, 0xcaac7211, 0x8b79f1f6, 0x4657601c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000002251799813685248 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b658, 0x7b432e46,
+    0x00000000,
+    0x9f0100ba, 0x6eac0758, 0x40183048, 0x387946dc, 0xf936e4b6, 0xd8548cb2, 0x858478ca, 0x1c13b017,
+    0x26e0fb7f, 0xa6204586, 0x128a6f26, 0xf3520dfa, 0x63ad1c7b, 0x2258d9d3, 0xc4582d60, 0x5e4c0ee3,
+    0x6b302bc7, 0xe6ca65db, 0xcfc18394, 0xd2b3b7f6, 0x776bd19d, 0x39f7ebba, 0xb13483ee, 0x9d763091,
+    0xb6eff5f8, 0xc46301e3, 0xca97972f, 0xb584b2e0, 0xfcf6efd4, 0xb5b6d383, 0x4933d835, 0xf79013fe,
+    0x444bf488, 0x29292f31, 0x87e07702, 0x9e7ff547, 0xf89adf8b, 0x61f969af, 0x65de8be6, 0x39202685,
+    0x5a1a8ee8, 0x4a3cca90, 0xf9252882, 0xd7813011, 0x36560b21, 0x6e06cede, 0x800acf8b, 0xc88e7afd,
+    0x1dd4ae27, 0xf0718176, 0x7f0c7462, 0xf6ba21a0, 0x7f47c673, 0x80b1ceb7, 0x89ed4367, 0x18dc775f,
+    0x7c6bc92f, 0x734b25b8, 0xb4e0d54b, 0xfee463ad, 0xa1b7f8b4, 0x4e4385c3, 0xdeb1babc, 0x4e8779fd,
+    0xb639f293, 0x5d9d7059, 0x83a0b9bb, 0x3763fafb, 0xc419d944, 0x017ffcf5, 0x5c0b267c, 0x7b7b6e00,
+    0x43a4056d, 0xecd4a183, 0x52e1c564, 0x77810474, 0x85971ba0, 0x3e1a01b6, 0x2797aeb4, 0x0e4cbe29,
+    0x238d90e8, 0xd2a7168d, 0xe42e84a5, 0xf9b1191e, 0xac0664b7, 0x6bfeb7af, 0x4c8dfe6c, 0xb4952d4d,
+    0x2d431229, 0xe450d5f7, 0xbf5a7de4, 0x2507dec9, 0xf728a292, 0x389a36bd, 0x7a438533, 0x40b48891,
+    0x8b9a08a7, 0x067de0a9, 0xf3268ced, 0x61f9e2db, 0xfc8fe271, 0x20b70b97, 0xa7f2156a, 0xf09c7254,
+    0x9146d6c7, 0x8c04a5a8, 0x0d20cb62, 0x17070f0e, 0xa903a664, 0x5a3bb717, 0x21b03524, 0x363a39bb,
+    0x963e633c, 0x77c17053, 0xeffc9a62, 0x81043335, 0xc12c3f8e, 0x48163c4d, 0xd993a1cd, 0x95ac2a74,
+    0x87040edf, 0x5bfd9bae, 0xd3a31789, 0x0696a36a, 0xf9cbe807, 0x027ce274, 0x7b1a1e44, 0x23eee841,
+    0x1658a4bf, 0xe7384838, 0x4691700c, 0x573e218e, 0x43feeda5, 0x74c650cb, 0x02d79b0b, 0xcf43e597,
+    0x1e903606, 0x93390263, 0x00fc8728, 0x19f5a857, 0xed251d34, 0x9cba66a4, 0xc3b3d5c5, 0xc00f0781,
+    0x64b6b1d5, 0xcbc5bc9d, 0x49328db0, 0xac5a5d3a, 0x8e9866fc, 0xca618a35, 0xbe6167cc, 0xcdef3e5d,
+    0xcd013b62, 0x44caab0e, 0xdeff5d95, 0x4e7855ba, 0x93d2365b, 0x4339bd13, 0x6ed0bc9c, 0xd05a80aa,
+    0x065044be, 0x9333696f, 0xc5431800, 0x08548886, 0xaa6261f2, 0x126e3dcb, 0x55ee7f8f, 0xe26d5c23,
+    0xedef2d34, 0xcfc266d1, 0x7ac3bb10, 0xb0df03ce, 0x8f437274, 0x686a8970, 0xd69a3ae2, 0x8a15bcd3,
+    0x06f34ceb, 0x86ba81b1, 0x90832999, 0xd1ae4593, 0x998c2f24, 0x0137d077, 0xf3c3ad36, 0xf83522a7,
+    0x0d16d2c9, 0x48c45638, 0xa5deb0d4, 0x4f648831, 0xbf237b3f, 0x33135e2d, 0x78bafd0d, 0x2f47ce4c,
+    0xf6588b30, 0x5994f996, 0xc64bfc41, 0x6fba2785, 0x95bb9436, 0xce133359, 0x0585f5cd, 0x1e1c4fde,
+    0xd63a32a1, 0x4529853b, 0x9ebd12eb, 0x34795798, 0x947ec2df, 0x690790bc, 0x37efddc8, 0x94885412,
+    0x8f6d27a5, 0x1fc83436, 0xd4f065d8, 0x91b12905, 0x784414ca, 0x27505589, 0x8d623859, 0x9d8745f6,
+    0x83f08b38, 0xb7e58ae4, 0xb65978aa, 0xf6c2f756, 0x63d54124, 0xe3588d72, 0xb9870f40, 0x23b6c134,
+    0xa0973429, 0x693d01e5, 0xf02fd24a, 0x5d3a2f20, 0xcec24b9d, 0x7339f6e6, 0x45c6eee7, 0x5cdd7b71,
+    0xffc05bb5, 0x36e6a79b, 0xd0dc368d, 0xc63de259, 0x51e4a9c3, 0x17c212f9, 0x8a13d380, 0x3d9a851d,
+    0x31834edd, 0x04aa68c6, 0x684ee1d3, 0x5b8961e5, 0x36f0fb9f, 0x1a7506cc, 0x79d321fb, 0xd0114d28,
+    0xa7182a5e, 0x57f86375, 0x5bdaa618, 0xa1eb53c4, 0x42875e43, 0x486920e9, 0x755c4802, 0x6bbec579,
+    0x4877474d, 0x53dd888a, 0xdd4bce1a, 0x65d0d553, 0x201c0feb, 0x2bb55717, 0x505a0d66, 0x84b2e4ff,
+    0x7a0c025a, 0x33fef027, 0x56695442, 0x2b6139eb, 0x87a06bfe, 0x28b20047, 0xd866d808, 0x09580be4,
+    0x5ebd2ae0, 0x80e95efa, 0xbf20df26, 0xd11abe1a, 0xbb201fba, 0x3d184e6f, 0xd411e051, 0xffb141f1,
+    0x96206324, 0xbe524818, 0xb5039aa4, 0xbf7a616d, 0xcde45634, 0xda3fe488, 0x465743ed, 0xe4d18e50,
+    0xeb7f47db, 0x3b8bfd65, 0xa34d2504, 0x10130db2, 0xa06c3fa7, 0x7999b469, 0x57ca14b3, 0xe0871a84,
+    0x0e22831f, 0xba4cfdc1, 0x243a868c, 0x6f352c16, 0x49130916, 0x62496c12, 0x11fa04c5, 0x502e47d1,
+    0xca0f3f09, 0xf6853a38, 0x124ab8aa, 0x7f99853e, 0xda4a5333, 0x5d66091f, 0x4d91cc8b, 0xada3899d,
+    0x90ece45e, 0x5e39f014, 0x1cb73607, 0xa78d01c4, 0xebff7917, 0xde6afbe7, 0x998ab0b0, 0x45393d67,
+    0xf36b4f7c, 0x8590163e, 0xb60205df, 0xad8037f9, 0xca8d71f3, 0x2507410d, 0x7279edf6, 0x44323031,
+    0x97991f8a, 0x22084383, 0x13a1fd8e, 0x5949efa3, 0x3e847d40, 0xe7cccd0a, 0xebc824b0, 0xf055a2ee,
+    0x64e5ac5c, 0x1b4e066b, 0x1d5d19a1, 0xfa9ea097, 0x31f86f9f, 0x18ef4dd4, 0xc5046631, 0xb4ecdfdc,
+    0x80a3cb54, 0xe2319df9, 0x24c544af, 0xf35d490e, 0x5367a040, 0x3f32dd30, 0x0b29a6cd, 0xe8cdea8a,
+    0x82f5103e, 0x40b51204, 0xdf6eb6cf, 0xde17f67f, 0xadf72a39, 0x8743cc76, 0xf44a43c1, 0x0baddf05,
+    0x47835295, 0xedcb367b, 0xe82de78a, 0x1c6109c9, 0xffb3b5c1, 0x95afe3d2, 0x55096a47, 0x3e96f49a,
+    0x80b0da18, 0xd3ed91a8, 0x8a65ddd6, 0x1a32801f, 0x95c41ece, 0x10aeae8c, 0xc43bc41e, 0x7bc5eecb,
+    0x91b935e0, 0xaf5e2100, 0xa7750c3e, 0xf7ccde06, 0xc5b2724b, 0x68780fd0, 0xb482492b, 0xf1a44a9b,
+    0x518f6ec1, 0x31b0b43b, 0x6bd2c1cd, 0x0b9fa90f, 0xb0886aac, 0x277adbab, 0x49705832, 0x32e0a481,
+    0xdd961b93, 0x697a1c69, 0xe0b64c9f, 0x8bdce414, 0x10a46afa, 0xe8ef9221, 0x2d562eee, 0x508a961c,
+    0x4771b1df, 0x9debefd0, 0xc837aef8, 0xe5f11be4, 0x1d40af50, 0xf019313c, 0x026fc558, 0xdbfe4758,
+    0x6c9416dc, 0x4c15e58e, 0x2be57c47, 0x232d8c64, 0xa7fd2388, 0xd2b70db7, 0x265ec615, 0xc78ede55,
+    0xa06bba23, 0xe91e550e, 0xf0989cb4, 0x9e55c6a9, 0xcc9b262a, 0xbe450d0e, 0x79fd10d4, 0x7f0278ba,
+    0x8af48b2f, 0xf30d3da6, 0x99ad428c, 0xd5aaac31, 0x5215d2f0, 0x30e51df0, 0x1a07b3f7, 0x247db8e3,
+    0x5371fb94, 0x4b3b2054, 0x240e996a, 0x83351f69, 0x6bc3eb45, 0x472abcd9, 0x591daa5a, 0xbb5bb8c5,
+    0xb78f027c, 0x25c91bc9, 0x357b6919, 0x9f47919c, 0x888f23c9, 0x0ef650fe, 0xd3ede005, 0x3f6a6b65,
+    0xbb402afe, 0x3bda45f9, 0x7e6a2cc0, 0x8fe8b99d, 0x2a91bbfd, 0xfcfc5edd, 0x3fe51831, 0x2c447e62,
+    0xd5b7a420, 0x61c46745, 0x8560175d, 0x498de2b6, 0xb2db456f, 0x9e73e179, 0xd5994a38, 0xb75354cf,
+    0x82cdcb5f, 0xa83045c1, 0x72d8cfd1, 0x8e336c7a, 0x8d68c48f, 0x1711a475, 0x475fffd2, 0x2b6afe08,
+    0x394e81a3, 0x8ab4dccd, 0xfd967891, 0x9c400496, 0x8392113f, 0x9fa46992, 0x67bbc3d1, 0x34c53b75,
+    0x46dcf969, 0xc05d8417, 0x371fb215, 0xbd79d8bf, 0x33f9dbf6, 0x19b8bb85, 0x9593f66d, 0xdb69cdc6,
+    0x6ff4247a, 0xa1458c34, 0x38a3d10b, 0x7bdc3081, 0xbe61a225, 0x8dc4028a, 0x84c5f957, 0x330aa43d,
+    0x708a0e95, 0x0546edd9, 0x6358acc6, 0x2732bf49, 0xa035b46b, 0x40e98a88, 0x53827936, 0xc25f684a,
+    0xf9a19cd6, 0x4474365a, 0x4d8b11a5, 0x4786bef8, 0xe17099d1, 0x917ce70b, 0xe630dfbe, 0x76ba6cb7,
+    0x0b750729, 0x632c79ec, 0x8b05b218, 0x35c0a6b3, 0xceabeaf7, 0x448ae642, 0x6fcb367f, 0x05f7fc1c,
+    0x67c35aef, 0xd38380b8, 0x8dc12c71, 0x0fe2d7f2, 0xf794f20f, 0xcea3d34b, 0x11402447, 0x8240cf72,
+    0xc4995259, 0x56008d30, 0xc7daad5b, 0x85a5eaf0, 0x8cde4f16, 0x172bd0c3, 0x2fbf3e98, 0x79ca32c9,
+    0x5a4b2bd1, 0x9b557cfa, 0x01cc637b, 0xc9ee74f4, 0xe8b9dc35, 0x57a8cda9, 0xc1835c29, 0xf84a0826,
+    0x16e00be6, 0x53ea922f, 0x4f79d0e7, 0x0be7f4f0, 0xe023d944, 0xb73323c7, 0x35ceb296, 0xce4915a9,
+    0xa68b4ae2, 0xdd176264, 0xd2fcf719, 0x4e1b339d, 0x6ca28190, 0xc93d529d, 0x0d0a3adb, 0x98942f2f,
+    0xac8564d9, 0x36285358, 0xdbba614e, 0xf4e6dc02, 0x2c8b5752, 0x22072a1b, 0xa0f5175c, 0x25223163,
+    0x0f74f40a, 0x6a4b02a2, 0x2397dd83, 0x543b3570, 0x22afe8a0, 0x3e236cce, 0x9a6153e5, 0x49406aeb,
+    0x2a3a9949, 0xcb5e2430, 0xccdfc00c, 0xf34f4f8c, 0x87ad126f, 0xc24f12f2, 0x8ebbb161, 0x1a0e5a43,
+    0xf8639a51, 0x81d8136a, 0xda26299a, 0x44c6791f, 0xea9e7476, 0xf1a0eb68, 0x2e3f4800, 0xaf303318,
+    0xc27a96bd, 0x5e377823, 0x6794bf73, 0x8e005c29, 0x27c2cd26, 0xe876ca04, 0xa8d43093, 0xe1b23c68,
+    0xef729839, 0x79c7dd13, 0xa8058ade, 0x39994803, 0xf21d1163, 0x74e89af4, 0x3ade83fd, 0x83a49ba5,
+    0xc4dd4338, 0x846b21dc, 0x409f8e6f, 0x4337706c, 0xd2760ce0, 0xca68592b, 0x817c1166, 0x6a31a53d,
+    0xd15e1128, 0x289a5b50, 0xaa536e57, 0x9e24e646, 0x18fac2cd, 0xd55b4877, 0xb466635f, 0x52148e41,
+    0xf718f616, 0x26729cd9, 0x5937c4db, 0x251754d2, 0x2bd70dbc, 0x7198a7a8, 0x750fa28c, 0x91e869f1,
+    0x24a0e7cb, 0xbb2c086b, 0xebeb3342, 0xdefd745d, 0x0dad6b89, 0xe80a7e9b, 0x65d8b4f6, 0x822784ce,
+    0x9f0a5144, 0x6b498c11, 0x0757509c, 0x1676410b, 0x2e847df0, 0x5abb1b10, 0x558fc6a0, 0xcbcfa2eb,
+    0xdae346ed, 0x55597149, 0x7544e825, 0x805507ca, 0x66ce1373, 0xf8071029, 0xfd8ade75, 0x92f12082,
+    0x12b5ee19, 0xca3edcc8, 0x39d6544d, 0x9c8ce4fb, 0xe51b3a1e, 0x06fd0ccb, 0xd10beb57, 0x0ef9cab7,
+    0xa1050336, 0xe3fe8d92, 0xce836f9f, 0x8a7615f4, 0x21ba3249, 0x925f9095, 0x7fafe0cc, 0xb6d0baaa,
+    0xcd1a0949, 0x0d259dee, 0x516a5b21, 0x61aaee01, 0x3d916ca0, 0x83f0dfb6, 0x8550aee1, 0xc6d61877,
+    0xcfd6e906, 0x1519463f, 0x44f9492e, 0x0d6034a8, 0x155ecb4c, 0x0adfd872, 0x910a0110, 0x29fb62f3,
+    0x19f43384, 0xf77dad39, 0xab0cfc3e, 0x714f7ec2, 0xbadaf8aa, 0xc74c1eff, 0x324811a3, 0xc04cca98,
+    0xcdc05821, 0x20c79462, 0xda01061a, 0xe286b299, 0xad7acbbb, 0x952b97ac, 0x1b9634a6, 0x80639438,
+    0x2a61669e, 0x79453ce3, 0xae7bd837, 0xd14b658b, 0x3da92f4c, 0xe0d17e53, 0x475c30ca, 0x773a1a82,
+    0xf870b82d, 0x3f5c09b7, 0x04e66af2, 0xb21405af, 0x43191bd0, 0xf6a53d3b, 0x595d79f7, 0x592453e1,
+    0xe2097641, 0xdbeddbbf, 0xb4a83474, 0xec912dc8, 0x2368d191, 0x72767e39, 0x805c99b2, 0xc7b6dfd0,
+    0x41c38116, 0x861f43f4, 0x588f4f26, 0x0db125e1, 0xcb7c3f9a, 0x38bc7914, 0x97027fc5, 0x3854fa85,
+    0xaa4f91d6, 0x4724e0c0, 0x45a413ab, 0x1e902705, 0xb6f340d0, 0x61bec498, 0xea960f4c, 0x53d7a5b6,
+    0x6344908b, 0x31c7497d, 0xe054a72e, 0xff7c12c4, 0xd5f8c0b0, 0xfd441a1d, 0x2f1066fd, 0xf66a0909,
+    0xc591938a, 0xadffdfee, 0xa3b59845, 0x495eb6ad, 0xf0e230f3, 0x3f7105bb, 0xd92f71b5, 0x20f2630f,
+    0x12d00b5d, 0x8b14c268, 0x81baa1b8, 0x5c8765f8, 0x4dfe2f9e, 0x87e6eb03, 0x0ca8c157, 0x295b58f4,
+    0x12aaa53e, 0x703e7e85, 0xa5295f6d, 0x38e8fcd9, 0x1f043c10, 0xbde37a38, 0x852e9608, 0x7347f5b2,
+    0xaef716ce, 0x24e56151, 0x9e205455, 0x3791722a, 0x5ac17dbd, 0x2d2503e5, 0x4e95e6d0, 0x8806b8f9,
+    0x22638f11, 0x485b81f1, 0x07850dca, 0xa742f53a, 0x40f888b3, 0x720acd00, 0x5b1b8218, 0x2df4b0e0,
+    0xc88664bf, 0xfc33ede5, 0x9c964d6c, 0x6a2186ab, 0x02e997cb, 0xb8b3d75e, 0x9b7138a1, 0x11b4432e,
+    0x15d6daa0, 0x99aea9c3, 0x25d3d19e, 0xa8f3b4b6, 0xca0bd282, 0x3d061d96, 0x75b7c825, 0x54527d2f,
+    0x66d1f7e3, 0x23bf93da, 0xfc3ec980, 0x8097d349, 0x283003ed, 0x36f57467, 0x962d017a, 0x57586127,
+    0x5f6b9f4d, 0x27e5708d, 0xd05b8d88, 0xa9cff6ce, 0x6fe72a12, 0x92bc88b5, 0xa8504552, 0xaf2bc0b8,
+    0x5886b925, 0xb878de06, 0xe13dfbf9, 0xcd665e01, 0xbe4004d4, 0xfd60a7b2, 0x9ed33706, 0xf6e141cd,
+    0x06bfb30d, 0x9febd259, 0x92160eba, 0xb790a1c9, 0x2af65ce1, 0x53f05a25, 0x84fce316, 0x70b2e3c5,
+    0xc66454ca, 0x8ce5c1de, 0x33b85581, 0x76bbc0ef, 0xaf957cd0, 0xbb7a5172, 0xa1e5a922, 0xa2040468,
+    0xa8fd228c, 0x7c9853d5, 0xfd0b80e0, 0xa2f30f14, 0x27de43b1, 0xb107ad87, 0x80f92e53, 0x2fc5e477,
+    0x04be7c15, 0x1fd106f2, 0xd67d095a, 0x98c01d4f, 0x133c5168, 0x5ce5fe26, 0xa4743f70, 0x7c387fd0,
+    0xcfeb1923, 0x391f56f1, 0x469051dd, 0xc973b056, 0xce2d9b3e, 0x1f2fe61b, 0x63e2e72a, 0xeb65ecaf,
+    0xd4849d88, 0x81952d5d, 0xf602c455, 0x17c17a3d, 0xb5f290de, 0x84d7cb48, 0xd54fa183, 0x50a48155,
+    0xb6a79543, 0xb632d2ae, 0xe15bc7e7, 0xf32aea37, 0x773dbce3, 0x7ea7d19f, 0x330931f2, 0x948cdaac,
+    0x2bbd6a50, 0x01ab31cd, 0x286c3b0d, 0xe2ce9121, 0xad0d0338, 0x52082740, 0x778e9a23, 0xaace28a7,
+    0xcda98b35, 0x0264ed54, 0x02b02781, 0x1b88980d, 0xc3e62630, 0xf16bcad2, 0x378dc67b, 0xe0de253c,
+    0xc379e7f1, 0xa0950175, 0xab33020b, 0x0b1925aa, 0x3d86c94d, 0x504de0ce, 0xccd3f734, 0x47b7f347,
+    0xe12c7e85, 0x157efe2b, 0x548c99cc, 0x0883e103, 0x94db181e, 0x32a3d097, 0x0edf4361, 0x98783a60,
+    0xbf6be941, 0x11dc5288, 0xef5c959f, 0xfaaaded5, 0x6235dc25, 0xd1f8624d, 0x9d2c0f8a, 0x849f8f69,
+    0x5609ce65, 0x258a1322, 0xcc9fbbc5, 0xed7e24f2, 0x1cfa8d1c, 0x2a06e0fe, 0x56c31998, 0x0364ad94,
+    0xbd7f0418, 0x42bfaebd, 0xe372aebd, 0x98ca3c7b, 0x76c0418f, 0xf9c34ab7, 0xd38cb656, 0xbca05001,
+    0x42c7a9bf, 0xc482b6f0, 0xc976af79, 0x36488f54, 0x1c63ee58, 0xd2e48d84, 0xeed75920, 0xe915ee24,
+    0x36ce7193, 0x90815fd5, 0xf4588693, 0x5af03c84, 0x814fb619, 0xaa755482, 0x34c41cf1, 0xcc3da485,
+    0xf64144cd, 0x28c586ca, 0x76d1a1d5, 0xeb79e715, 0x9ddfccf5, 0x700b9cc9, 0x466feeba, 0x9dacccd0,
+    0x9235e18f, 0xe87d8263, 0x05905c42, 0x35e1fb67, 0x513bd4c3, 0xe74d8c4f, 0x05b522b6, 0x9135498a,
+    0x0e8776d8, 0x5d0c0457, 0xc6a4076e, 0xdf4f74dd, 0xef1eb262, 0x6620c8bb, 0x647f3eb7, 0x7c6f7d77,
+    0x87f08ef1, 0x2a78611e, 0x5a511324, 0x3d3bf6ad, 0xe1cd000a, 0x20f33600, 0x169c8a71, 0xb0a86afa,
+    0xfb700cee, 0xa7d55798, 0x2e04cd28, 0xccff0830, 0x6d635e16, 0xc37daf10, 0x309ae5ca, 0xafcb3525,
+    0x99c1f94a, 0xebc7f9f1, 0x1900edb7, 0x56f1d8e5, 0xe6d366be, 0x702743e1, 0x7772afc0, 0xe8362f5f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000001125899906842624 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2c, 0x3da19722,
+    0x00000000,
+    0xc9c13b25, 0x0fffdf64, 0x84d69bb0, 0xc27b37d1, 0x80235823, 0x3922fb53, 0x6647e666, 0x93e9c87d,
+    0xa22ef776, 0x37ddbcff, 0x0f489325, 0x3a5553c2, 0x106e38e6, 0xdfd6338c, 0x1407004c, 0x2ca7b69a,
+    0x20b8af73, 0xa0562d2e, 0xeb0bd9a6, 0x731f0f22, 0x9417dc61, 0x7af65eef, 0xf4403218, 0x990578b3,
+    0x6cbe0aa7, 0x3b593a52, 0x53353e23, 0x5e03a801, 0x01030a22, 0xc465ce89, 0xa5eae5ee, 0x4c274440,
+    0x42827ea9, 0xd28d4556, 0x406817ed, 0x0ae0ce20, 0xd8e0bfb1, 0xe500c307, 0xaf939d1c, 0x5bb5171f,
+    0x4e20e750, 0xebb63a71, 0xf3c7c7da, 0x052eb916, 0x987c21ca, 0x77fa0856, 0xd45c6563, 0xfa28a8cf,
+    0xdc34008f, 0xa229ab35, 0x2b9a900d, 0x6f10ac5b, 0x631c63d8, 0xcb11b3ad, 0x6f540e5e, 0xd8d8086d,
+    0x1b8f424f, 0x52cb58e5, 0xb51d588c, 0xc7918fc9, 0x8429ebd4, 0x02089f36, 0xefaf67dc, 0x70f32020,
+    0xc6d15e41, 0xede5c393, 0x2865f8be, 0x8916d4e5, 0x77013e6d, 0x4c8f3ceb, 0xf720cc0e, 0xf86bd917,
+    0xbd80457b, 0xe772ef60, 0xe792e293, 0x64b7a4c1, 0x9015b0d7, 0x49b40cd1, 0xfa4d98e6, 0xc64490ee,
+    0xe3ea6f19, 0x1b33144e, 0xd7071797, 0xd68222a7, 0x4decb33a, 0xbaa26d80, 0x83eecbc3, 0xf01b26fd,
+    0x3ec61ede, 0x24b58e3b, 0xff8e50fe, 0x1359d7c8, 0xbada9d34, 0x33aff7c9, 0x93fbc847, 0xad1a9dce,
+    0xbd9dca34, 0xc3c2f82a, 0xac283d98, 0x46dcb5bd, 0xe88c9a35, 0x6a3b53f1, 0x882c18d9, 0xa6558aa5,
+    0xfa8af8c3, 0x8731f9f0, 0x28020cf2, 0xc6c824e9, 0xe1cb030d, 0x71fa79d6, 0x383c483a, 0x68ab88f6,
+    0xf51f1dcc, 0x11f55b46, 0x3ea84953, 0xc3346703, 0xfd3db357, 0x5ee338b1, 0xb8ab2f74, 0xccdfe2ce,
+    0x0d022e9c, 0x24381d43, 0xb9326922, 0xdd07d773, 0x974476ee, 0x1116bd9e, 0x01c69c2d, 0xb63e1fa4,
+    0x583b7e7a, 0x94e03099, 0x923a8f03, 0x46941b01, 0x316b670e, 0xd87f249a, 0x803d518c, 0xfc1bfd2a,
+    0x55cc4ea6, 0x73074f5c, 0xd35acabf, 0xa674578e, 0x85aa7000, 0xe9c26c9c, 0xe35f0cd9, 0xdcc9df66,
+    0xd93124cf, 0x82f6aff0, 0xeb12ce2f, 0xd8f93e14, 0x7a3e3db5, 0x0c88b583, 0x18d138b4, 0xf8c903a0,
+    0xfc8db5b6, 0xebb11016, 0x874d2e8b, 0x887c5bc1, 0x0a426533, 0x65af5fcc, 0x7c004d2a, 0xe5d49ec7,
+    0x4321bd9a, 0x432d6072, 0x8c9313ce, 0x3496219b, 0x0fbefceb, 0xd19ee994, 0x2b8c8553, 0x27c3be23,
+    0x62027f92, 0x517c74ee, 0xa777e542, 0x3141ef06, 0x9a372cd6, 0x62b0b604, 0x553c34f9, 0x9396ea2f,
+    0x4eb024d4, 0xb706a717, 0xd13a2046, 0x6499c172, 0xc0969b80, 0x0469f7e3, 0x54eae812, 0x6482a999,
+    0x6c9a79de, 0x1ca46b4b, 0xd98ba9a9, 0x7073b6a7, 0x9f56e615, 0x0a3fc6d4, 0x7b54e44d, 0xa64546fa,
+    0xbcc658f9, 0x2635e01e, 0x4adb5a7f, 0x7660c6c2, 0x5b80afc4, 0x55494b87, 0xc89efc83, 0x56821139,
+    0x0b454786, 0x7a499f25, 0xf7705868, 0xeda8c5bc, 0xfb838882, 0x6b293457, 0x07df8c44, 0x07443c02,
+    0x764ed876, 0xf7059e55, 0xbb0ed6f1, 0xa0a2d4bf, 0x45a94937, 0x323e593b, 0xde17f31f, 0x450112a2,
+    0x134b3a33, 0x43c722e3, 0x8af71536, 0x47cf1f09, 0x19d8ed4c, 0x28156d24, 0x78e6fc7f, 0x834151b0,
+    0xaec13161, 0x3998c3e9, 0x5ced3a9c, 0x0bf19537, 0x87cdbe7f, 0xc97e36a6, 0x3782a8cc, 0x43d2b1ec,
+    0x4a38f054, 0xf30d2fe8, 0x7c70dad6, 0x2774777c, 0x0a9fb40c, 0x4502aadf, 0x1224f9fd, 0x491cebbd,
+    0x729a0dd4, 0x0e09f97c, 0xc61fcb69, 0x11d6950b, 0x056e4181, 0xa71dd22e, 0xfc8a597a, 0x5811fa2a,
+    0xa649d4b3, 0x6529857b, 0xebf80209, 0x9c8603aa, 0x78bc5745, 0xdd7c81c0, 0x008f757a, 0xacf9dd67,
+    0xd37c4ce9, 0x759b6e57, 0x91a7962c, 0xd6f66bcf, 0x24aecb27, 0xa4a5687f, 0xedbf23eb, 0xadce5bfd,
+    0x80627dc9, 0x9a7fa66b, 0x520e9a3a, 0xecdc7ec6, 0x8ae6c367, 0x2562ee37, 0x1b4ae6cf, 0x7f18fe4d,
+    0x1da0f38b, 0x31cc9182, 0x90c903c0, 0xcc97fcb3, 0xdaba676b, 0x5838810a, 0x40fd1929, 0x666c7b87,
+    0x82d18832, 0x436bdf3c, 0x363a3104, 0x265b680a, 0x14faf229, 0x59e76e57, 0xcd7736d7, 0x9a965e96,
+    0xd08413b8, 0x89c1bf09, 0x69d57101, 0xac125114, 0x3f3c104b, 0x3d2a4e1f, 0x4d66150d, 0xf3cd3c85,
+    0x799b1038, 0xd8e28092, 0xfab396b4, 0xba5f7e75, 0x0913f15a, 0x1ea2e4c5, 0x4dd8fb27, 0xf1d04e98,
+    0x0a9a429e, 0x7a3c097f, 0xdb32ade0, 0xc5ec95fc, 0xf1babad7, 0x3b4c128f, 0x908b15ad, 0x84ebba01,
+    0xdc010dd7, 0xbbd07727, 0xf9db71a2, 0x4e62c2d1, 0x8798c426, 0x110174d0, 0x5c26b146, 0xe629d99a,
+    0x8cca4991, 0xf44ba267, 0xfa6c193e, 0xd606899d, 0x636b5251, 0xfa08ea60, 0x14e13624, 0x0985cef9,
+    0xbb877668, 0xcb0c3379, 0x46405aba, 0x3cdb8628, 0x2f98c2f3, 0x5ad23e84, 0x7797a414, 0x27fc2393,
+    0x5147664f, 0xaaf65087, 0x25ddc2c6, 0xa9f599d2, 0xa37c6648, 0x8ba54487, 0xb863ecc9, 0x33a7ef89,
+    0x6dd6f029, 0x2d85be27, 0xd19d6c98, 0xe29c234a, 0xbae8f0af, 0x50b008da, 0x7e3e3ea5, 0x86d7770d,
+    0x172575db, 0x18f0e0de, 0x13616bde, 0x5c4b68e8, 0x52cfe81f, 0xd8688c8b, 0x31a5d970, 0x384d6578,
+    0x1b592045, 0xba5f7caa, 0x7ae607ad, 0x53b7ef4a, 0x47598dcd, 0x6871459a, 0xd9118d6d, 0xc2532556,
+    0x4c8b1931, 0xbd860043, 0x37f4ba47, 0xe8743b4a, 0x467c8b90, 0xbae8d244, 0x290d967a, 0xb6bb21a2,
+    0xeedb3646, 0xef858d72, 0x4d4477f2, 0x1670ee59, 0xc8ab8c52, 0xc2dbdd63, 0x9f0b8887, 0x24bba33f,
+    0x5606bbd8, 0x94abbc0b, 0x6e524d19, 0xaa8e17ff, 0x133ddc0c, 0x9df2ac12, 0x20db4728, 0x37cd80fb,
+    0x6a9c5295, 0x2a00e48b, 0x7be3bbec, 0xa9a98cbb, 0x03a0c8ca, 0xcbdf622d, 0xeed40bfd, 0x9f1b6c49,
+    0x80bdd3b2, 0x658f69d9, 0xeedcfe57, 0xc7b02945, 0xad472e63, 0x86d26397, 0x5af9fe89, 0x2a5849c4,
+    0xb635565a, 0x0f5baa71, 0xb7782791, 0xf0a77be7, 0x7b521ae6, 0x4e790ac8, 0x98fa8a8e, 0xa8f34f56,
+    0xc7191e1c, 0xeec56233, 0xf4114786, 0x61c8a546, 0x53ad78f3, 0x102a4c90, 0x4fb845d1, 0x4fd52c3c,
+    0x56c80f6f, 0xb88419f8, 0xe9ff32c3, 0xbd3a8b3a, 0x905fc306, 0x9cef9fce, 0x97218875, 0x44490d17,
+    0x974859d1, 0x6e746482, 0x49ea1c7a, 0x1db02447, 0x31290bc9, 0xeeb6ef7e, 0x961add19, 0x3aa1a776,
+    0x697492c9, 0x4525fe21, 0xd0bf2b5e, 0x5cdca542, 0x33323e85, 0x9387e546, 0x94b583d8, 0x15c689e8,
+    0xd1671d6d, 0x029ca3fe, 0xf7f76799, 0x5504d77a, 0x3f87abcd, 0x774627d9, 0x4904984d, 0xdfb424be,
+    0x9a36d547, 0x5336a7b8, 0x9eef2f3a, 0xb223d5af, 0xbdbdba84, 0x1fc35af4, 0x9302f5a0, 0xc7917366,
+    0x603b9fd5, 0x649c21bb, 0xc1bf1954, 0xefc4fa73, 0xf79699d8, 0x1c2c0d38, 0x850f4c9c, 0xf5c8c063,
+    0x7a3f76ff, 0x2f0f0b86, 0x17ff5c91, 0x08b106ce, 0x253c4ff1, 0xae1ab10c, 0xbddec28d, 0xa67ce0e3,
+    0x98c60d09, 0xd34a6ce6, 0x963cfcb3, 0xb86a3879, 0xbf79b07a, 0xe908be8d, 0x07cea095, 0xc81d6194,
+    0x0285880f, 0xdabadee9, 0x7a804fdc, 0xb0131404, 0x340895ab, 0xc76cd8fe, 0x4d5a0b31, 0x2dd53752,
+    0x704c6e05, 0xb1f476ae, 0xe54511fb, 0xe20efbc8, 0x1e3646f9, 0x82e95882, 0x2727c0d5, 0x4d87fe45,
+    0x6df3e534, 0xcba21375, 0x897362b0, 0xfe4b9396, 0xac8bcab5, 0x60509d88, 0x3bd444af, 0x1bd42106,
+    0xc05091a2, 0x8fa1c60d, 0xa3d365e1, 0x2ee5875b, 0xcf588517, 0x138590a2, 0x03347bd6, 0xce086b0e,
+    0xe85d14bf, 0x84078c61, 0xf31a5eb2, 0x2ce1ec72, 0x85593c20, 0xe6cacb3e, 0x4c4dc2ed, 0xa892a7af,
+    0xe6187a07, 0xc23125a2, 0x4858e5a9, 0x7c5d1dd0, 0xc9939cc4, 0x21a3db33, 0x1c2ed2ab, 0x41018e30,
+    0xfab11e01, 0x82878fcf, 0x899a389a, 0xe90eb32f, 0x5eff692f, 0x49a8abd7, 0x118c1f8d, 0x6a95e97f,
+    0xcbbb7043, 0xfd361e0c, 0x44eef972, 0x7bcebcda, 0x0826b8c2, 0x48aeb380, 0x531ff782, 0x30d02945,
+    0x83a061d0, 0xd8b04276, 0x8d3f808d, 0xb5ee6455, 0xf45ebdfc, 0x00ed536e, 0x03823a24, 0x34dfa0d2,
+    0x361d10db, 0x02c62171, 0xb4e59bdc, 0x92d651f5, 0x78419055, 0x6b04a2b4, 0xbe0d3439, 0x7aa8a651,
+    0x2bba49ec, 0xd4775b44, 0x4802525e, 0x380ff9f4, 0x22c4a69b, 0x0849b4f0, 0xb93f56b4, 0xa200d842,
+    0xf5626650, 0x97ea28a5, 0x644e59c6, 0xc6e8ba07, 0xea9a2ce4, 0x50a7c6ab, 0xf6c64b60, 0xf3c632c0,
+    0x2b9c00e3, 0x58f60687, 0xd353065c, 0xe234c79d, 0xa1e0c4ca, 0xca3a6751, 0x950be1e1, 0xbdc26fee,
+    0x8811106b, 0xd3d29a1b, 0x0030e8cd, 0x7132ea4d, 0x60378bb9, 0x031d35f5, 0x5668efe2, 0x9b06c1c0,
+    0xb1e14c30, 0x2ed42241, 0x32e636f9, 0x1113e557, 0xfe362025, 0x388a0fee, 0x77020cdd, 0x50b8f267,
+    0x1d36a5c2, 0x91e178cd, 0x8fe2f456, 0xa189df57, 0x6d4b729d, 0x6d53681b, 0xbb1f0cb0, 0x30931db6,
+    0x27c7ab75, 0x76b3ac57, 0x0123add1, 0x30eb60e6, 0x77584f7b, 0xd7294952, 0xd2e75317, 0xd6d9e70a,
+    0x9b0c647b, 0xd1f28004, 0x19c95724, 0x35c4912e, 0xf2d264d0, 0xb4b8b524, 0xc2bd5b23, 0xf20c0de7,
+    0x894ca824, 0x4c250c84, 0x4faace1e, 0x9a982d64, 0x95e6cd22, 0xe9d80eb0, 0x39220e53, 0x02ed627f,
+    0x0ff06c2c, 0xc749f0ef, 0x5c04e2db, 0x1bbec00c, 0x3aa1073e, 0x8d6b2f7c, 0xe11bca3d, 0x8f0b1553,
+    0x0ce7005c, 0x33e72b27, 0xabf579c3, 0xac1b52f3, 0xb6313491, 0x6f8f0d69, 0xdd73da6d, 0x7c7eb347,
+    0xc1347b98, 0x51ee9afa, 0xe945d987, 0xf88b5270, 0xc79fb37e, 0xfa9832ca, 0x78685eb1, 0x4324c7ef,
+    0xf02cd701, 0x5302d5cd, 0xb42b9dbd, 0xf86ef2bf, 0x6c55b865, 0xce5e9907, 0x6a30a252, 0xbaf73ffa,
+    0x1393ed97, 0x4f93248c, 0xae8cefbe, 0xe14f514b, 0x8d529398, 0x962c68ac, 0x176626bf, 0xab8c86ae,
+    0x181e62d3, 0xe05ff7ec, 0x585de8de, 0x052a7607, 0xe745f251, 0x68b6e42c, 0xf860d25e, 0xc4ada2b2,
+    0x79732e50, 0x3e71c974, 0x35bbd2c8, 0x485d10c7, 0x5eb7367b, 0x182b8698, 0xe2e5fca1, 0x6e3f9e93,
+    0xfab01630, 0x81a1d473, 0x1e0dcd7c, 0xdf7169e1, 0x7fb1bd4c, 0xa511cb1e, 0x419c6ce5, 0xb00547f1,
+    0x24a96d27, 0x877a2922, 0x544a4b78, 0x3282c674, 0x50e5ded5, 0x0e2563af, 0x7313a893, 0x93183ae9,
+    0x5cdc89b6, 0x7dd0b66b, 0x2835c414, 0x19417bc7, 0x30ae6503, 0xa325ad29, 0xfb0edc76, 0xe3aaf1cb,
+    0x4e29a084, 0xdede5c18, 0x01ce0500, 0xae9bff95, 0x435cbeba, 0x30cd6c18, 0x9a84dd8e, 0x711da7fc,
+    0x10109e38, 0xdbffba38, 0x9adff77b, 0x69015432, 0x28aa4298, 0xcddd9cd6, 0x43a90a75, 0xde7e2ee2,
+    0x6ea855d5, 0x379f59b7, 0x3adb5f41, 0x852c6da8, 0x529a9f24, 0x3838f72c, 0x26fcd086, 0x5260dbf7,
+    0x820ec7ac, 0x30462524, 0xfbb6d703, 0x24fcd446, 0x3d4301ae, 0xa92b23f6, 0xca458e2b, 0x2174af41,
+    0x04dbb36b, 0xf8e9c4a6, 0x4fff0406, 0xde42d29d, 0x1de20c1a, 0xcb53e429, 0x339268fc, 0xb8d8e4cd,
+    0xaad77137, 0x59c926fb, 0xe6ac23d6, 0x4bd2ce76, 0x721d8ca8, 0xc902259e, 0xa6361115, 0x28159e94,
+    0x24436f55, 0x79f15f78, 0x9d146879, 0x229ce907, 0x592dce51, 0xf9d96e0e, 0x972a2cc1, 0xc7ccb341,
+    0xd9040583, 0x3f723f23, 0x5b8c238f, 0xc2d43cdf, 0x60286f47, 0xf5ef6e9f, 0x6ff38a60, 0x6ecfa421,
+    0xa6d55ae4, 0x0e91a7b8, 0x71064339, 0xbf7f1c82, 0xb24eb179, 0x79432bbe, 0xacf6d3e7, 0x097d90ee,
+    0x83fe74b5, 0xcdd2c6be, 0x0544df3f, 0xdc462057, 0xdb5f7326, 0xdcb1c10a, 0xd598733d, 0x7de7eadb,
+    0x9caae582, 0xf0a2ee62, 0x0f28523f, 0x17999ea8, 0x15b1ce4d, 0x6ada9eb2, 0xaa612806, 0x4d0dacb0,
+    0x6ee517d5, 0x47cb418e, 0xbea62522, 0xb62af665, 0x62109387, 0xc6a75edf, 0x3ff75ceb, 0xf107bce2,
+    0xf772bd1c, 0x386c5171, 0xc493eebd, 0xb1da00e2, 0x661738b7, 0x999052f7, 0x3fc6baf3, 0x53400844,
+    0xb7094f7b, 0xb19388d4, 0xee24822f, 0x631a4e36, 0x959e8d4d, 0x39e00ad0, 0x94ded105, 0xb46c2077,
+    0x6edcb9d8, 0x329500e0, 0xa0d5386c, 0x9ca61583, 0xdfa9280f, 0x181f8e45, 0xc8bfc335, 0x8582fb8d,
+    0xdd813d1b, 0xcfe1e038, 0xd9cfbf5d, 0x6b61ece2, 0xf1418992, 0x75aee84c, 0x0c4c10fa, 0xc47152ad,
+    0xf49057b0, 0x9df430df, 0x3db5f115, 0x6cc98adc, 0xe7397efa, 0x63839f63, 0x42707305, 0xa02e4df0,
+    0x8bdaadbb, 0xa1f613af, 0x9bef991f, 0xd6cd549e, 0x4556649c, 0x7a9ad84a, 0x59bdc7ee, 0x688113a6,
+    0xc1f427f2, 0x5944db34, 0x31cd407a, 0x44bb3bf7, 0x72ef3f7c, 0xe9c4eb7e, 0x135250f0, 0x544d50b3,
+    0x168fbb62, 0x417f2541, 0x394c6dfb, 0xfe8e0080, 0xb4df60ca, 0xb947d2fd, 0x9c1ea647, 0xb3ba2293,
+    0xac2adc37, 0x3a8c24d0, 0x988e8f03, 0xfb69d60d, 0x4b308781, 0xb4f535fe, 0x1b57c3aa, 0xd3d582ca,
+    0x862e9d4e, 0x5373b339, 0x2f4200c4, 0x5e19f661, 0x064bca2b, 0x0e7c3ed5, 0xbfc5d79b, 0x434aa0e4,
+    0x0e041f47, 0x97bca9d5, 0x9b87e1b9, 0x71582b91, 0x55ff1a98, 0x679fe1e3, 0x354fc932, 0x57b9e4d6,
+    0x853fe19b, 0x9b5a4315, 0x5758706c, 0x54315127, 0x675caf6c, 0x69c8e0fe, 0x9b3a55c0, 0xd8977b6a,
+    0x1227a165, 0x5f7ddb82, 0xf143c8da, 0x01c6ec6f, 0x56fc3739, 0x1c2498d3, 0xd7683900, 0xa3aa3d55,
+    0x9912fbe9, 0x41b371b4, 0x8163fabd, 0xa1801641, 0x6edc531b, 0x14f9e79c, 0x335db663, 0x9600d1ce,
+    0xc1636a7a, 0x4bc672b2, 0xd4ee4b0d, 0x935c6585, 0xa66e27b8, 0xf2229162, 0xe5765c1b, 0xc1ac28f8,
+    0xb1a2e1d4, 0xd9077611, 0xb4ea6ca2, 0x10675023, 0x6b3c5c00, 0x3f138414, 0xf3893a04, 0x745bf6f5,
+    0xe732777a, 0xac355d93, 0xa705c6e8, 0x4c3b382c, 0x6254111b, 0x0b8c3146, 0x8866ed35, 0x9f51143f,
+    0x55024b7d, 0xf1679f29, 0xc75872ed, 0x7cd63fd6, 0x7fa6e9c3, 0x4d93eb5e, 0x7a1314a6, 0xab8b6715,
+    0xb7077c4c, 0x19ca551b, 0x02113c78, 0x89c1c163, 0x839063bb, 0xbd89e9a6, 0x08ff2e76, 0xc7efe911,
+    0xd7d97e6e, 0x00d4b56e, 0x0be2b54f, 0x87cb3e43, 0x346c1f63, 0xaaa75e5d, 0x109ea8de, 0x54ed6be0,
+    0x906cc6d4, 0xb1aea8a0, 0x96ad1ae1, 0x9e3ca70e, 0x5875647c, 0x1b86f30d, 0x98e0e98c, 0xb57ef7e5,
+    0x600d37a3, 0x2515a5b3, 0xdd725f20, 0xb34725c1, 0xc404dd27, 0x79cd8775, 0x1a1803b9, 0x51857955,
+    0x0e54d05b, 0xc44d3a8b, 0xae7225c0, 0x17ea86f3, 0x9bf0432a, 0xacf0c8b9, 0x2d6cccdb, 0x4ad4031b,
+    0x80487b3e, 0x18d341dc, 0xe3ef1fc5, 0xd1499971, 0xf4f6d79e, 0xe603d49e, 0xb5e753e6, 0x1bd7a556,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000562949953421312 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad96, 0x1ed0cb90,
+    0x00000000,
+    0xe343c187, 0x7019c4eb, 0x3af0ad96, 0x87f6547a, 0x62d6b121, 0xd5595b3b, 0x423bcc85, 0x40d7f1ae,
+    0x72567b41, 0xb2a027fe, 0xf65913aa, 0x56d79fb4, 0xfc4e16c0, 0xc80f92c0, 0x2350a1d5, 0x9011f806,
+    0x10f0ec5f, 0x6a590bef, 0xbc2d466b, 0x0e1438e6, 0xa9a9f3c6, 0xa706c561, 0x5a573a60, 0x81b8bd27,
+    0xfbadb4ab, 0x97bcab1e, 0x1ab19aab, 0x21087424, 0x8c35977b, 0x54ec2697, 0xdc20710e, 0xb54756d9,
+    0x07c89e6a, 0x7b4e2aa1, 0xd9f517f2, 0xbaf1e7c1, 0x060d7a8c, 0xe49d557c, 0x8e091044, 0xbf9961f3,
+    0x0d15e84f, 0x0553efbe, 0x25d0c227, 0x793c5888, 0x3c7b16ec, 0xee6e0e7b, 0xc43c0ddf, 0xf6fc1f40,
+    0x009f6b08, 0xdfc84af3, 0xae22ce3c, 0xcdb3f69b, 0x925ffa32, 0x0a2382a7, 0x82f68201, 0x4aff3836,
+    0xd4d75414, 0x60fffcc6, 0xc1502ccf, 0x7dd2643a, 0x62c36a87, 0x6667d882, 0xc7929d93, 0x0e909f04,
+    0xa693ba0e, 0xdca72eb8, 0x1f5dbea7, 0xcbfdf79d, 0x65176d09, 0x5389861b, 0x4a4b2e0e, 0x4a674620,
+    0xd2d98edd, 0x0cfd4404, 0xb1569a6e, 0x499d6f24, 0x53c8dc6b, 0x7b828009, 0x6f8e09ad, 0x98bfefac,
+    0xd127f9ac, 0xf8c41cdf, 0x8fd8bb42, 0x1c3446a7, 0xaa5f8f30, 0xe9fa4d22, 0xbb822b42, 0x8fa42e8e,
+    0xe35a25f0, 0x892e3a13, 0x41eb1eed, 0x0dfe2c4e, 0x17b5b896, 0x4295a525, 0x47a082d2, 0xd494850e,
+    0x4e1f6ff4, 0x133375b7, 0xe21db7bc, 0x991fc484, 0x3f32ca99, 0xe4106fde, 0x05622c96, 0x33f75585,
+    0x4ee205ea, 0xc3a4266a, 0x8b47d428, 0x0025761b, 0x03ffd1dd, 0x2a19bf25, 0x4baf0624, 0x9ff97e97,
+    0xef768f32, 0xa7be5dd4, 0xb7cad354, 0xa90baf10, 0x16298649, 0x4afc3e50, 0x915158b4, 0x6a88eb99,
+    0x7ec02deb, 0xd4738630, 0x49b89874, 0x3d8d84d9, 0x477c3a94, 0x0e52934a, 0x78da106a, 0xd73ecd3b,
+    0x783ae3b5, 0xe8ee7a61, 0x838e7573, 0x85abc95e, 0xa18346cf, 0x5d10c161, 0x1534e306, 0x1bf17040,
+    0xe4b21ca3, 0x4ff4315d, 0xb21ec662, 0x770408a5, 0xb3530edf, 0xe8243c0c, 0xc56439b4, 0xfdf840d4,
+    0xc470c227, 0x853319c5, 0x07560432, 0xdf96085b, 0x7a09cc63, 0xebdbd202, 0x1a4a99f6, 0xeafe060a,
+    0x991650f1, 0x5ef7917a, 0xdd44beb7, 0xc06d95f8, 0x60c4d288, 0xb8840552, 0x29d05fd6, 0xc3165896,
+    0x6e62d020, 0x943d0405, 0x04e2e230, 0xbf748a35, 0x1b35ac1c, 0xb8040df7, 0xdb61ceca, 0x6bed0a47,
+    0xa3ddd306, 0x2ee254e2, 0x67ab5ea9, 0xdea72301, 0x2085b216, 0xed4de823, 0xc3434bb3, 0xff9081ce,
+    0x27b78ba1, 0x56412e0e, 0x0bcc54bd, 0x28d09403, 0x0122b6c2, 0x254cf3cf, 0xadbfeb4b, 0x61c3eb10,
+    0xc8c0b42a, 0xfd9c00b5, 0xebc81a50, 0xfde31424, 0xe349ed85, 0xefdc6612, 0x23e4e169, 0x64e1e13a,
+    0x02794843, 0xd9938162, 0xe3b8300b, 0xfb32e73d, 0xc98fe568, 0x95853dc2, 0xfbdd603d, 0x9b2348a2,
+    0x630d8aef, 0x1ee765d8, 0x5cb2ed4f, 0xe5f5fa14, 0x14aaee73, 0x9e3c1a38, 0x37a5c242, 0x17d5d887,
+    0xd3d03509, 0x98ab2e94, 0xc3530aee, 0x7bfbd2d5, 0x208b2d07, 0xfb63de4d, 0x4a043876, 0x15fefca7,
+    0xe0381130, 0x459b35fb, 0x70e7543d, 0xb0da9395, 0x72b576b1, 0xf11a8e7a, 0x6313136c, 0xbdcfb40c,
+    0x7a9faa11, 0x0cf5155d, 0xf13683dc, 0xa4becf88, 0x81688e89, 0xe59de0f4, 0x2c0dd2aa, 0x10b04679,
+    0x963b084d, 0xdfb325fa, 0x2144e8b8, 0x4b70843c, 0x3884d3c6, 0xd232eaf2, 0x37c8c59a, 0xb8706207,
+    0x789e2a3a, 0x98142764, 0x5b12e142, 0x8a172a26, 0x9a39a9f4, 0x43b29bca, 0x54060060, 0x362b59c7,
+    0xfaa0d402, 0xcab8b837, 0x97886f88, 0x98fe6ec5, 0xed9cefb7, 0xbeac0e46, 0xb2b31df3, 0xa6ddb596,
+    0xc51c9998, 0x884c134c, 0xdb4e8b58, 0x3ca4c6e4, 0x8b46dbb6, 0x9947e965, 0xd42cbbe3, 0xc86d7953,
+    0x7c21cfe4, 0x42110cbb, 0x35518857, 0x22b5e975, 0xaa61631a, 0x1f12efd9, 0x4673fc50, 0x0ff21868,
+    0x22a6102f, 0x0baff397, 0x91e3665c, 0x1774ca0a, 0x0b1166bf, 0xa77507f3, 0x791899f9, 0xde99ad6b,
+    0x945f5f88, 0x869b09e4, 0x89230437, 0xed94ad7e, 0x2a4ab158, 0xba468668, 0x925518ae, 0xb3b01df4,
+    0xea488f2e, 0xcd2e815f, 0x6a334700, 0xd3d8ccef, 0xcf86e7e5, 0x28a2a2c6, 0x99105dee, 0x5850a0b9,
+    0xa4e67433, 0x91cbefa9, 0x4039c2a1, 0xbd67bb07, 0x561cf34e, 0x2ca64b98, 0xcb3f53a1, 0xc986c5d7,
+    0x94a848ce, 0x94284e69, 0xd5283fb7, 0x4726361c, 0x5e55e203, 0x9bd35a2a, 0xc413b212, 0xc5a74cce,
+    0x34409d6e, 0xb7daf4c6, 0x212ab957, 0x5f323cdb, 0xed0b630a, 0x58a33e0b, 0xfe395893, 0xd1f39c3a,
+    0x94f3340c, 0x9990e982, 0xaadfc352, 0x1d2e9ee0, 0xf883842c, 0x696eddd3, 0xe5ad3bf2, 0x783a1108,
+    0x441f91ad, 0xa7bbf6e0, 0x3a963d94, 0x4a2635d4, 0x8016f3de, 0x4170f07d, 0x705d9f48, 0x908caa22,
+    0xf78f0a94, 0x1c151745, 0xe41345ac, 0xaa6a15fd, 0xae598511, 0x2dd8177c, 0x02e2cddd, 0x8f76611b,
+    0x950bd899, 0x54e6ab85, 0x205949a9, 0xcb864faa, 0x3b7a6a96, 0x50c59359, 0xb643e39d, 0x6e364888,
+    0x09bc2be6, 0x3ff854ba, 0x964fbe78, 0xd055d70c, 0x927677d2, 0x697a3059, 0x91eccc7a, 0x26314c11,
+    0xe2b6e347, 0xbe7d8957, 0x4b7239df, 0x08a7272f, 0x062266eb, 0xf3d26bfe, 0xac18bfc9, 0x5ec0a39a,
+    0x2fce00a4, 0xc4ee9afc, 0xc58bbd03, 0x3139b83f, 0x3145617f, 0x403b80e7, 0x09e53975, 0x527238c9,
+    0x165ad304, 0x4b5e37fa, 0x7d41e6a4, 0x274ae406, 0x3d60f5b8, 0x78bc92e3, 0xcb348e6d, 0x2faf09ce,
+    0x23596b9d, 0xe50272fd, 0x9e666495, 0x868f43ce, 0x8d673fe2, 0x2ae3896c, 0x8dff002b, 0xe3f1b210,
+    0x12879999, 0xe1e17309, 0xecc71ad6, 0xc1fea63b, 0x95a839a2, 0xda440e2f, 0xad59a03b, 0xa6c9f9e7,
+    0x23d37fec, 0x412f8d79, 0xca1b553e, 0x6e04edb2, 0xa420ccde, 0x3778b2a4, 0xd9e4f6a3, 0xc74299d8,
+    0xac4816d1, 0x420f8d20, 0x1c874c8a, 0x8a3898b5, 0x0458916d, 0x0e8bbd5e, 0xde433c98, 0x63e7102c,
+    0xa466d2f8, 0x44083001, 0x7a860778, 0xc0ff2ca4, 0x3736ec8f, 0x6e89f60e, 0x587a587a, 0x317b513f,
+    0xae0e0fc8, 0x967a68bf, 0x01854a91, 0xead34b8f, 0x28f4c2ca, 0x940e52f1, 0x6b3f728d, 0xe564bb95,
+    0xdc1c967c, 0x2f928155, 0x4851885b, 0x3fa2e63d, 0x81a718cf, 0x72274e31, 0x215ca789, 0x6ec909f6,
+    0xef1bddb8, 0x7ab2da6d, 0x0e255e0f, 0x619d9343, 0x58211ec2, 0x6e2c1c66, 0xc4430a81, 0xc5dfd9da,
+    0xfbb7480d, 0x2b913ce4, 0x01ca2302, 0xcbdc0db8, 0xf4589701, 0x4df74c65, 0x6406c8b4, 0x441e6618,
+    0xee711614, 0x6aad37bc, 0xb4c4e47e, 0x35fd26b3, 0xb13caa27, 0xb86b5232, 0x5ca32107, 0xaf8d9d80,
+    0xa2425ab6, 0xbb94ccd3, 0xa95337c6, 0x951996ee, 0x0525c932, 0xcc4c831a, 0xd5ac91a6, 0xc55c4bf0,
+    0x88126db6, 0x825d5a42, 0x3d9d0c8b, 0x89598265, 0xbf6c7b76, 0xa8969c76, 0x8d22d5af, 0x98bd7f17,
+    0x0dc184ea, 0xf22c852e, 0x27d82fbe, 0xdf274f70, 0xbd72a009, 0x91104a8d, 0xc301ec52, 0xce8ce1e1,
+    0x9da1b6eb, 0xef5587fb, 0xef52ca8a, 0x9cd3e3aa, 0xfa8780da, 0x1e33a234, 0xafdc8216, 0xb12a36b9,
+    0x1187387d, 0x4348aa57, 0xdcea06d1, 0x9bf07caf, 0xb942e552, 0xb1028607, 0xdb66832e, 0xd052ca83,
+    0xd7c55916, 0x35e0337c, 0x7d986ee2, 0x02009811, 0x4886a081, 0x0bd305a1, 0x436a997c, 0xbd90ab04,
+    0x8fd51f91, 0x60680026, 0x12bb7f9a, 0xce5937d1, 0x1aa21923, 0x40b18d92, 0x5ef54849, 0x88747f8a,
+    0x0637a0ff, 0x23614525, 0x596f888d, 0x61ade8bb, 0xfa9a691c, 0xc8c96ff7, 0x2b6fb698, 0x4dce30fe,
+    0xe9c8c084, 0x190ea03a, 0xf89d1e84, 0x62ed481c, 0xbb0dce61, 0xa4b7e371, 0x1d7b9d47, 0x42fece9c,
+    0xe714157c, 0xd05c9bc4, 0xe8f104da, 0xb06e828f, 0x10aa7d01, 0x4f1ee5e5, 0x99c47c68, 0x58950548,
+    0x1e7492b8, 0x1e4f3cc5, 0x4177edae, 0xda2a6d5a, 0xe67c5e72, 0x39ab075b, 0x20a74821, 0x90299e3b,
+    0x58031b53, 0x09a93095, 0x67af87ed, 0xd2792654, 0x9831ec56, 0x20b38694, 0x81a88564, 0x697f824c,
+    0xca7d8959, 0x9067f785, 0x85b4eeee, 0xec309659, 0x46f4ed43, 0x5ed2efbc, 0x3d94be18, 0x66c648fd,
+    0xf368b0c7, 0x412e4551, 0x58adfe63, 0x59160a25, 0x5c1c43c3, 0x52418982, 0x5020036f, 0xab27e837,
+    0x2c2b9d71, 0x9d8bc816, 0xef2d97e1, 0xce67da34, 0x3d815130, 0xa21b5237, 0x40edb2cb, 0x9ff1c9ce,
+    0xd9694698, 0xc55064af, 0x57553125, 0xdae5ab76, 0xee9d3e39, 0x30bae271, 0x82e213b7, 0x5a6c6781,
+    0xc19c9076, 0x77544d5d, 0xfadcd43a, 0x97fbbcb2, 0xea0252ae, 0x77cc7a01, 0x2fe7e3ea, 0x0f83a7be,
+    0x297a2913, 0xfc156864, 0x483cb992, 0x154c625f, 0x4bd55060, 0xf54b2fbe, 0x74382a96, 0x8c082b7c,
+    0xe5211f51, 0x593e1d4f, 0x744c028d, 0x4ccbc1ba, 0xcfe9a3d7, 0xfaa1fd49, 0x35468f67, 0xd9820044,
+    0xc630591d, 0xc42f20de, 0x58736ea9, 0x8d0eefdd, 0x7acad440, 0x69faf56c, 0xda56aa1a, 0x01ee459c,
+    0xad677bcf, 0x43d80c1b, 0xef877b4b, 0x77f84b59, 0x8ed98183, 0x54e3784b, 0x20281fe5, 0xe2f15a27,
+    0x1f068791, 0x71586399, 0x7689a6fd, 0xe397f497, 0x23940bff, 0x50f89250, 0x8d7c8442, 0x5228158d,
+    0x5c30b4f6, 0xa36bd25c, 0x57a2bb56, 0xfa50a59d, 0xad571b8a, 0x415f7798, 0x0a1ae36a, 0xa463384a,
+    0x2b546513, 0xb04d6492, 0x81735411, 0x3cde90c8, 0xc172d0d5, 0xc4b6b28e, 0x575c6c57, 0xb8e84532,
+    0xffebbf76, 0x41cb15b6, 0xe082f049, 0x1ea97e3a, 0x3db5089d, 0x5aa0dd31, 0x6ba5aad3, 0xedbac726,
+    0x92200deb, 0x0cb34475, 0x05a7a11b, 0x1385da80, 0x0ff4e5b8, 0xeb713cda, 0x09df9291, 0xabf5b5b4,
+    0x726c0da5, 0x0aab5cea, 0x96cc9ca3, 0xf1c74ff4, 0x02cab29f, 0x946b2044, 0x6a4602c0, 0x4e5a5c13,
+    0x01662a8c, 0x27688cc4, 0xfa08f8f3, 0x9c29a68f, 0x71adc095, 0xaf32e5b0, 0x01ceaffa, 0xa9362900,
+    0x0d351cb4, 0x6c7cd9ea, 0xeeadbd74, 0x46a2853e, 0x4dc569b2, 0xc75f705b, 0x956a6178, 0x1107fd85,
+    0x92ee1ffc, 0x54752f6d, 0x51818c81, 0xb51da4a6, 0x35290e82, 0x309b6254, 0xa7f7030b, 0x769588f9,
+    0xbecbd99b, 0x1fc43ad7, 0x82841d52, 0x954f75f8, 0xde8db710, 0x50df5341, 0xef7f337a, 0x98b03f05,
+    0x725f1557, 0xb2183d52, 0xa7dc623e, 0xcbcd038e, 0x0bc67541, 0x59306315, 0x402e3ac3, 0x8a85d36f,
+    0x291ce8c2, 0x8a866725, 0x8f612eef, 0xa0cef2f8, 0x91092806, 0xab830efe, 0x3443e9d7, 0xb961f933,
+    0x30ddae4a, 0x087de34b, 0xf074129f, 0xae0a0400, 0xfd71bf94, 0xe20fc18d, 0x9ddd3c6e, 0x11ece96c,
+    0x6c603107, 0x40b92801, 0xd267505a, 0xaccaabe8, 0x9ccf263c, 0xee43982d, 0xe5c23c16, 0xed84d26f,
+    0x74ea240b, 0x33d55566, 0x19c3aa71, 0x23efa4e8, 0xf8cf4e24, 0x192cdb1b, 0xe224234a, 0xdeba5086,
+    0x8b8fed21, 0xbe52b419, 0x3f9df4a7, 0x726d5b81, 0xa2bbdbef, 0xe06947e0, 0x341d8404, 0x6d03f3a1,
+    0x29cbcb09, 0xc0a2c59a, 0xc9de52d9, 0x4dbb6c12, 0x8e50b912, 0xad04b8ee, 0x8fae12db, 0x28d5b48a,
+    0x92afe6b0, 0x70647df4, 0x335d9343, 0x6104587b, 0x0848e9cb, 0x9134ad06, 0x3d8531a4, 0x4e44ea7e,
+    0xd6a2ceca, 0x00e769c5, 0xec2ea7da, 0x8d588529, 0x1a18d64a, 0x6a21ac13, 0x92a343e1, 0xac282192,
+    0x3ce0c6d8, 0xe52c5f5c, 0x4dbe4a35, 0x7003a7a0, 0x8b6a567f, 0x74d538a3, 0x9a6aff49, 0xcb914e53,
+    0x861da720, 0x597aa548, 0x6856ccb2, 0x59f3e3f3, 0x575210c0, 0x2152e668, 0xd4d1d4df, 0x5c8b5444,
+    0x7e81aab1, 0x731887c8, 0xa7d2296f, 0x5bff8b47, 0x1a6ccf19, 0x61ea8037, 0xea10a9c1, 0x71164e9f,
+    0x9ff77064, 0x324b5d31, 0xd841bb59, 0x1d0115b1, 0x73b62973, 0x461a44d1, 0xc416bdb8, 0xfb565e6b,
+    0x8aabb51c, 0x2892537b, 0xde11e7d3, 0x2c893491, 0x288f24fa, 0xad038e1d, 0x17783fc8, 0x5a053abe,
+    0x11ebc0fb, 0xd10a29e0, 0x9dcb8935, 0x151f8dc5, 0xbb7da282, 0x5fcf1666, 0x014fab75, 0x64190283,
+    0x4704f073, 0x9930a77c, 0xe78b2aca, 0x5f3378ff, 0xe0e4dcc3, 0x8e288bbb, 0x3c4fb4a2, 0x79ce5544,
+    0x9085f30b, 0x90ee8d29, 0x0016e508, 0x94953d71, 0x660aa45d, 0xd4f2f951, 0x4533d7a4, 0x34bef1b4,
+    0x310556d3, 0x8489fc45, 0x613a6da4, 0xe9d40154, 0x28b6e18d, 0x55f436a3, 0x131b9da5, 0xdc025312,
+    0xe446a473, 0xecafd9fc, 0x1145b188, 0xa0f317de, 0x0e6432a1, 0xd4cc027f, 0x8b5d55ff, 0xcd902859,
+    0xb812be6d, 0x5bd9d6a3, 0x9247ecd5, 0xbb2963cb, 0x6c17504f, 0x629f1664, 0x0d3423ee, 0xada1b45c,
+    0xd3f0d8e4, 0xf54fd375, 0x4596e144, 0x76c1c759, 0xaadbf7b2, 0x271f4bab, 0xfb560047, 0xe74fceef,
+    0x3124087a, 0x46023d44, 0x109ceea0, 0xda759b30, 0xfe2b7ec0, 0xda8a33a7, 0x3451c65d, 0xbfbcfa97,
+    0xc9a77273, 0xe1877f6c, 0xfd247a21, 0x3b65202a, 0x74f96fd3, 0xd48b37fb, 0xd3a60a12, 0x6eba9d7a,
+    0xae667a93, 0x6bbb1952, 0xc7fada05, 0x282bd44e, 0x22c57ebc, 0x36b59cff, 0xf48f548f, 0x429b5e42,
+    0x1a82de26, 0x3d0d8ba2, 0x95427f88, 0xe857d1c3, 0x0511bb13, 0x7a39e109, 0x74641719, 0x64462738,
+    0x8ae5cb6a, 0x88ad13d7, 0xbb160a38, 0xfeb124ba, 0xe11f62dd, 0xbc10b7aa, 0x8b476812, 0x89f38d0d,
+    0x7a662404, 0xec2b9a41, 0x738b2f81, 0x4e1e4927, 0x631b528f, 0xd0a2bd5e, 0x974f52f3, 0xb9b7562f,
+    0x81c44d99, 0xb6b526a0, 0xc5e6697b, 0xa2dfb337, 0x8f995185, 0x99020ef6, 0x5c43b377, 0xdc462f46,
+    0x02697247, 0x26bc0275, 0x4da6da19, 0xd975b897, 0x519620ac, 0x51e5ad3d, 0x9f16407a, 0x8848b98c,
+    0x94e4a562, 0x530324ac, 0x9b413544, 0xa76ded22, 0x15f594dd, 0xe486cdc4, 0xdc3e164c, 0x203ce2a0,
+    0x15297b3e, 0xe4e77748, 0xbe21fded, 0x787e95ce, 0x688d5c61, 0x65ad7392, 0x9be3bec4, 0x45ef5661,
+    0x349975ef, 0x426d1d98, 0x94e39450, 0x9c4eaaf5, 0x79ce577d, 0x03850c12, 0x8f87e969, 0xfecda9e4,
+    0x1dff2522, 0xcc02710a, 0x3bae3628, 0xe24ce145, 0x36349596, 0x7eb541d3, 0xcc3f82dd, 0x22f37fbf,
+    0x44438889, 0xda79f1b2, 0x579add0c, 0xfc89e5c8, 0x9e5bf3c2, 0xf5e0c9b3, 0x1f47fce6, 0x898e2d3a,
+    0x6e69bf4e, 0xd1082933, 0xba403ede, 0xd6e4d1f3, 0x496021f5, 0x6fe088ee, 0x98f28c3e, 0xd7c7a57a,
+    0x0b2e5f9f, 0x6b0333a8, 0x0ed3a71d, 0x0a084eed, 0x68ee3202, 0x4ec4ac1d, 0x71a00547, 0x6cba8902,
+    0xa095ad02, 0x79fbe249, 0x83a9b22c, 0x6c1aa9ad, 0x7f35d5b2, 0x8f5bf8fc, 0x8f73466d, 0x8e629ec4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000281474976710656 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56cb, 0x0f6865c7,
+    0x00000000,
+    0xf1346dd4, 0xc90c52c5, 0x50ba1c9b, 0x9f644d95, 0xafa803e5, 0x2d8ba476, 0x904ac23d, 0x5d9d612d,
+    0x960fabd0, 0xfee0db3f, 0x1d2c0604, 0x45e78143, 0x499007ae, 0x346b4a44, 0x7118ef4e, 0xf17ac80f,
+    0xa7699630, 0x4f30a3c8, 0x14a21c0a, 0x6f1420cd, 0x42843b78, 0xba386ecb, 0x9daf4c35, 0xb3405b53,
+    0xd9d26ac4, 0xe99c8b07, 0x6bb92b5a, 0x75b305ee, 0xf90d9031, 0xb41b16f4, 0xd2cfb4c6, 0xf10dadce,
+    0x03167829, 0xac989aa8, 0x7b049c56, 0x4ecb62f5, 0x4be57b2b, 0x06d378f9, 0xf3c04b58, 0x4cbdf957,
+    0x35ff7c08, 0x739455ae, 0x6514046c, 0x1d2de86f, 0xfa415479, 0xffd99137, 0x35f4d421, 0x476a093e,
+    0xe55b7c5b, 0xb449a822, 0xbdf8ce29, 0xe4eaded4, 0x670f1e20, 0x8719a39c, 0xf982b048, 0x5a466790,
+    0x59a40c57, 0xf63c8e79, 0x41f8e2df, 0xe39c959e, 0x2132bfc0, 0x9ca75783, 0xe352efcd, 0xa56a73bd,
+    0xcc845717, 0x4fdb7eab, 0x36396477, 0x9ece0cda, 0x7070759b, 0xe4cd971f, 0x3a749649, 0x6497231e,
+    0x94e938b7, 0xf0add5b6, 0x32083b80, 0x8bbd0d2a, 0x140f38ee, 0x3dec4371, 0x3c1a87a7, 0x10a4d7cd,
+    0x80fd9b72, 0x8b0e9632, 0x0809d1ef, 0xb1385d6b, 0x19ffecd1, 0x9e0bf3e3, 0x806d4d64, 0xfbed69fd,
+    0x25b35c20, 0x261d11dd, 0xe510d350, 0xbbf0e290, 0xdb06c2af, 0x2e35085a, 0x71326c59, 0xa3ed8167,
+    0x5ff74c56, 0xe0fba3e2, 0x8029a394, 0xdbadaa0d, 0x8031e118, 0x55297915, 0xf5b631f5, 0xf00ee23a,
+    0xf3bf14f6, 0x71d0407a, 0x838a2a60, 0x8314ff7a, 0xc82a694c, 0xaa0d84e5, 0x01483b61, 0x92744501,
+    0x394201b3, 0x7d3f984b, 0xcdf8b7e1, 0x7ce0d599, 0x4f1f3cf4, 0x43c44884, 0xcd5a95c8, 0x84db1a89,
+    0x793c492d, 0x2f83a321, 0xeb4adfe7, 0x4c74efc4, 0x692a3fe0, 0x1adcf160, 0xa5308587, 0x0311262c,
+    0x39cfca91, 0x2e982819, 0xdf8d94ba, 0xa340dd07, 0xae57e277, 0x8cd3de3c, 0xc01bda58, 0x52b17975,
+    0x3c8e397f, 0xf5c5f029, 0x61bc5fb9, 0xab862776, 0x4ad4a975, 0x8f711845, 0xb8467a0a, 0xd13b8bfc,
+    0xe9d002a7, 0x70304393, 0xcf7a6a39, 0x7a979378, 0xdf37ee5f, 0x16380fad, 0xa9eac407, 0x07d4d2ed,
+    0x415a7dfd, 0x4400cfe2, 0x2581aa7a, 0x42dd1e53, 0x05d2c1a2, 0x750084af, 0xc83692e9, 0xd4f61f8e,
+    0xb08b90aa, 0xf078a5a1, 0xd1526a41, 0xadb867bc, 0xd82ae554, 0x0117e3f1, 0x723d48ca, 0x98826a1d,
+    0x9d2a6162, 0x3a0e8afd, 0x73527e83, 0x20c6f8f2, 0x83012707, 0x9fc8a04e, 0x71df5a1d, 0x0dc2eda9,
+    0x30942db3, 0x0a644988, 0xa2effea3, 0x21a909a1, 0xfc8ee00c, 0xc9549888, 0xe2389a16, 0xc31d4629,
+    0x5772e478, 0xd339c2db, 0xa49e4f3c, 0xc7583242, 0xab766846, 0x90cedb2d, 0x17a66dc5, 0x77530910,
+    0xe6355763, 0xa3c5d713, 0xd2ae8a08, 0x0de84257, 0xff2dd7b5, 0x88793ca3, 0x7e78f3fb, 0x058aa02c,
+    0x86077b42, 0xa1b35e40, 0x354b91a8, 0xe7799bf7, 0xdbe22fc7, 0xbc3d9b03, 0x11dfeded, 0x41614b92,
+    0xb3215fb6, 0xe63cb623, 0x7bd65140, 0x66a5a592, 0x901d58d8, 0x7929a777, 0x8bba9734, 0x8666e97f,
+    0x51370d51, 0xf802bc1f, 0x98135fd2, 0x173f45cb, 0xa10754f3, 0xb3437bd6, 0xf973f171, 0x87bc64f1,
+    0x68f6536e, 0x3eae6495, 0xc8343918, 0xebe296d9, 0x81e3b69f, 0x6c1cf5e5, 0xf480dd02, 0xca5dfee3,
+    0x04ca3cdd, 0x48f881d7, 0x016a2691, 0xa76993e9, 0x03458a01, 0x3e74dba9, 0xa08bd1be, 0x91bb84d4,
+    0xbf7da37b, 0x839fbe02, 0xb8415c79, 0x4dcdb94d, 0x25f954fe, 0xef2dad28, 0xd284d07d, 0xe6215503,
+    0xf2ab56b2, 0x2039d73c, 0xb513021c, 0x58a8058b, 0x1b6b5d02, 0xa6f2d6ab, 0x64e7175e, 0x513bcf50,
+    0x2fce873a, 0x2d2ebad5, 0x8c336872, 0x74afb849, 0x611f00bb, 0xe5c2bd4a, 0xae83da7f, 0x7f871b62,
+    0xa5a6c632, 0x21739c8e, 0xac6f8f85, 0xd72b7167, 0x69481939, 0x62c97253, 0x292b7087, 0x7494935f,
+    0x0b98d983, 0x9bad65b2, 0x9a943577, 0xc1efc670, 0x53b74805, 0x64d2a113, 0x5e177820, 0x5d60b488,
+    0x7cf55fc4, 0xda2c4782, 0x328c0aa3, 0x5ad96c29, 0xdcae4fc2, 0x782a24cf, 0xdfe3d065, 0x521bc278,
+    0xc7064dd3, 0xa9dd6bc7, 0x0b5bfacf, 0x2d4b1e72, 0x9a1e7d23, 0x81d721ce, 0xcf012ac8, 0x57787cfb,
+    0x6cc6dc08, 0x49a6b699, 0x01f8ffe7, 0xb697d61d, 0xfe63a3a3, 0xe9b0fa96, 0xe052fac2, 0x0637e446,
+    0x56b8e061, 0x6c937a10, 0xd5d733c4, 0xc6ccb613, 0x104cbd4e, 0x1375f7ed, 0x4ded559b, 0x08c820a9,
+    0xfbe8e300, 0xd82040b5, 0xc90a0668, 0x30a5d9c8, 0x784b8596, 0x80252fa8, 0x44715b33, 0x9af4bfcc,
+    0x941f1616, 0x2b5a2381, 0x1a09398b, 0x14b9fc49, 0xd846cc40, 0x01b48a73, 0xcc13d089, 0xa2711b6c,
+    0x40aa7dbb, 0x4447e2a3, 0x007d24bd, 0x3d71631b, 0x88c2056b, 0xd106ce93, 0x48245c3d, 0xa71f64bb,
+    0x48c14388, 0x0c6c8cfc, 0x97e456c3, 0x2aaab5ee, 0x4c3db37f, 0xf486922c, 0x9a9e3bd2, 0x91de2467,
+    0x97ac5d0b, 0xaa5f6b93, 0xcc9f33fe, 0x798eed94, 0xa2dfe890, 0x0fedba65, 0x8261e757, 0x876cbda6,
+    0x595a6431, 0x236210fe, 0xb7bb9b30, 0xd3393eb1, 0xaf61b0bf, 0x9ae71140, 0xcda38189, 0x35cb5070,
+    0x0f167fd1, 0x7798a237, 0xbd30db0c, 0x9038b384, 0x2ac6c408, 0x9692a032, 0xcb782ede, 0x12dd5d4e,
+    0xc1da3291, 0x0793cb14, 0xac9ae730, 0x13a19a11, 0xd2aebfa0, 0x06bba7c9, 0xaa25d56d, 0xe953f109,
+    0x494f4706, 0x6b2e767b, 0x7419e652, 0xdc0c3e28, 0x20932e6f, 0x4bad3618, 0x9f2d9ed4, 0xc481815c,
+    0xbd167134, 0x5f3c52fb, 0x445e6f7d, 0x44bd09a2, 0xaf47a809, 0x5b0201ad, 0x92db8574, 0xb371a2fd,
+    0xf9504c65, 0x56dd3bb6, 0x430ab406, 0x5de87d98, 0x0f4ed039, 0x591c22d0, 0xa0116354, 0xc3be6b55,
+    0x56a75003, 0xc79cf414, 0x8b521a16, 0xcb8cf17b, 0x76f288d0, 0x725c8b05, 0x59819b13, 0x456dee36,
+    0x70de017a, 0xbe3a08a8, 0xc20dd808, 0xa912a562, 0xaaa6039c, 0xf608cc9f, 0x15492d5a, 0xbc982a5c,
+    0xe629327d, 0x9a683527, 0x17733ab4, 0x7b5a4ce0, 0x5f4acb64, 0xcfab3871, 0xe830fd72, 0x39a62067,
+    0x36e84392, 0xc8a5d252, 0x51996845, 0xe7a9f674, 0x89f80faf, 0xb0e0dc84, 0x927a6c55, 0xe4bd2c32,
+    0x3ca83414, 0x5c7a8c74, 0x0d6f6901, 0xf058cd7a, 0xa4e12d4c, 0xdcbeaf11, 0xf762d964, 0xa6e09735,
+    0x5137269b, 0x37059710, 0xfef6dd0e, 0x10ebef68, 0x56ee5190, 0xdee7734f, 0xcb670138, 0x2fdfab31,
+    0xe2e2bdfc, 0xe0653896, 0xb21b83e7, 0x5f383b9e, 0x164cda98, 0x0d3cad1a, 0xba32b653, 0xbb07f067,
+    0xbbb42d74, 0xc508fd10, 0xc2acc18c, 0x89428a3d, 0x59e4c0f5, 0x67ca4039, 0xea1d9a34, 0x3966809f,
+    0xa92fc742, 0x978153ad, 0x46fad7d3, 0x47c4db49, 0xe05f7d90, 0xa2162c39, 0xee10cdac, 0xe8765cb7,
+    0x5b3a9872, 0xa52d8c55, 0x6c94048c, 0xccdb4d4f, 0x3056d741, 0x1c0e0e90, 0x55615bf2, 0x4459e9f8,
+    0x5de2e269, 0x26ba252d, 0x01e54de8, 0x2079cb81, 0x8f5a3327, 0x036bd0fa, 0x49650f04, 0x6abd7530,
+    0xbc605644, 0xe42242f0, 0x454d45bb, 0xde8d3571, 0xcf645fb6, 0x9559fac1, 0x459e76c1, 0xcd1065e8,
+    0x24ca778b, 0x97c2e000, 0xfe418228, 0xdac7cf6f, 0x6da96867, 0x22396e33, 0x8325956d, 0x90fdbcc0,
+    0x8dfcad74, 0x5d20a4cc, 0x89959fbf, 0x119af9c3, 0xb6854eb5, 0x69cda61b, 0x5e9ed30c, 0xd6feaba5,
+    0xf0638971, 0xc4b57fb2, 0x677151bf, 0x96d3c2d8, 0xbf576398, 0x3cc010d5, 0x1af1ae7a, 0x06b038da,
+    0x927f9261, 0x4b5e9020, 0x5f63ef8c, 0x557c22a9, 0x22ee3ccc, 0x55379bed, 0x36300d27, 0x011f1c0d,
+    0xcadb69ab, 0x1651993a, 0x52678542, 0xe859b64e, 0x099ee2e2, 0x2371f3d6, 0x0d31e74a, 0xb52aa6fd,
+    0x512eafe5, 0x10633ad8, 0xf863306a, 0x043650f7, 0x4cca8bb1, 0x5998da90, 0x24aab18a, 0xa43adbff,
+    0x8c6b3c26, 0xaa767330, 0x7d057905, 0xc905ce42, 0x90b251ee, 0x4e3b2ba4, 0x0e52983f, 0xc4da17a1,
+    0xb9c728a4, 0xe1500ca4, 0x6845a5d5, 0x152cbbe5, 0x5b33ca32, 0x30569093, 0x8b9d1ddc, 0xa3d94b90,
+    0xd1c19ec3, 0x78575c64, 0x7c908d47, 0xbad7c953, 0x0fbee581, 0xafc5fd81, 0x6a1eb5ba, 0xb1e9622e,
+    0x5d6983cb, 0x9a735d7a, 0xf70c5a8a, 0x2f5d84f3, 0xad9ad1d6, 0x3b6dee65, 0x97683ac2, 0x74007903,
+    0xd3b27b7b, 0x0fe384c0, 0x89c9fdb1, 0xc57a0f34, 0x165c49e5, 0x6cc1fb77, 0x7c4f423f, 0xb8667eba,
+    0x44eba8d9, 0x97366782, 0x129b91ae, 0x347b257d, 0x9b1d8d7a, 0xc305b092, 0xded3d65f, 0x7fc2c25b,
+    0x71f01ee1, 0xac32145a, 0x0e760cd8, 0x3129cefc, 0x70755257, 0x067a190e, 0x429400ad, 0x84487665,
+    0x11be15e9, 0x0ab3e8d1, 0x79e49023, 0xc88c5e77, 0xd5ef0cf7, 0x0faad6c7, 0xd99a4292, 0x25375513,
+    0x2183f4a4, 0xfdedb518, 0x3ec00223, 0x87638e05, 0x7c066878, 0x42e14c1e, 0x43741a41, 0xb7fdb2dd,
+    0x27223a3a, 0xbb279c5e, 0x3a003774, 0xd8f58432, 0xe7dd70f7, 0xc287544e, 0x61e08602, 0x16d00a6e,
+    0x2adab5ac, 0x2040a61d, 0xa6862aa9, 0xee2aef16, 0x48470e70, 0x33debde9, 0x223f5e1f, 0xe314b5c6,
+    0xaa539358, 0xef8247cf, 0xe5ab6b1d, 0x04b78ba1, 0xd04a22e0, 0x4eb480ae, 0x1f266733, 0x5d18f2aa,
+    0xf20b0f8b, 0x419b4550, 0x0fa81099, 0x72423a38, 0xdc25ea84, 0xfaafa529, 0x312eee75, 0xf56bd599,
+    0xc1cd8212, 0xb935cb49, 0xd6faf1a0, 0x11a6e3e2, 0xe9b74325, 0x63f4621f, 0xd0ddd8ff, 0xf1a33bce,
+    0xf589c6ac, 0x5691c856, 0x5e2f9829, 0x9dd67af7, 0x53758013, 0x56774d80, 0x5f38454a, 0x243e0fb5,
+    0x54fc5585, 0x1b307a53, 0xaa19d4ec, 0x6217fe01, 0x3a869789, 0x55fd0268, 0xbd8805fc, 0x4aaa95db,
+    0xbaa50da0, 0x47aad19d, 0xbe291e47, 0x0a7b6989, 0x9c3f2889, 0xd492433c, 0xbe10ebf8, 0x39a0c009,
+    0x1b6254bd, 0x6dd36413, 0xfeb2e94d, 0x11a94b96, 0x2f32446f, 0x816751cd, 0x5642c0ac, 0xedfd043c,
+    0x604ee707, 0xa7784219, 0xaedbb9b9, 0x79658a7d, 0x4aae2c79, 0x2b1ad023, 0x258e3bae, 0x3a451115,
+    0x4d1deae6, 0xcc47dede, 0xa8785a83, 0x2281807c, 0x9ae3773e, 0x4fa94f57, 0xbd4487a2, 0xe8935a28,
+    0xfa1f530d, 0xc7da0743, 0xde59223d, 0xe66f79b9, 0xea4344ad, 0x716952dc, 0xa57c42da, 0x7dd40c64,
+    0xf9bb1a18, 0x694d641a, 0xa9ea8cf3, 0x72d84251, 0xe270dbd3, 0x7b326eaf, 0x17a9d3cf, 0xc4af7b4f,
+    0x3c0585a5, 0x2e2dd2ae, 0xb8d1c246, 0xa0dce997, 0xc3134783, 0xed654be2, 0x2b126e8e, 0x90df63ae,
+    0xfa7446f2, 0x81724d86, 0xd78ee382, 0xc024927a, 0xd042434b, 0x333884f7, 0xa7bbe07c, 0x26a99b6e,
+    0x524d9613, 0xc057ab47, 0x8bb0850d, 0x14555351, 0xedb76277, 0xe60e4a42, 0xcecc77a9, 0x1e8675bb,
+    0x574dff8d, 0x9d1bf2f7, 0x8505f3b6, 0xf5b9ede6, 0x0368ffef, 0x32f4a6e9, 0x4cd6f038, 0x76a4a49a,
+    0x5718a4a7, 0xfcc43d17, 0x2158eab7, 0x95b4fa4f, 0x53363a8c, 0xb50f631f, 0x769735ed, 0x322b7d46,
+    0x2d81abe8, 0xd3d94162, 0x5b21053d, 0x89bf5eff, 0x2e9fea40, 0x72cc5a61, 0xbe9e3425, 0x24f5559e,
+    0xd005e084, 0x52495377, 0xa30732ae, 0xa102351f, 0xa887b912, 0x281e930e, 0x551c5062, 0xb7c0185b,
+    0xfb9c5e8a, 0x8f0b5711, 0x20ff972e, 0x2b3a0600, 0x33a7f49e, 0xdcb0fbeb, 0x6ad05599, 0x6ecba192,
+    0xad53def7, 0xf63518e0, 0xc99472a3, 0x17c7408e, 0x5a7f3ad4, 0x61bfed11, 0xc1fde684, 0x92418043,
+    0x52c7b8a9, 0x7a447122, 0x10d643bb, 0x501f89d7, 0x9416ad55, 0x96f37b29, 0x50077fa0, 0xf92f09dd,
+    0x6fd6ad32, 0xb0a2767f, 0x96fbac9b, 0x9a9ed5d2, 0x79f9e537, 0x6fa9ea64, 0xabf97cfa, 0x5a9f0e25,
+    0x65d1c333, 0xc174a6da, 0xb4bc495f, 0xd802d7c8, 0x629757d5, 0xf80753f8, 0xe364af54, 0x7c3a0c2a,
+    0xa6f699b3, 0x1e4fb865, 0xad1a6f58, 0x7db7f6a3, 0x12631109, 0xa89ebfe5, 0x9b07d9b0, 0x79c3608b,
+    0x16afd806, 0xb8074022, 0xc876e898, 0xcde34400, 0xf5c42688, 0xea05c23d, 0x51938156, 0x7d85d0e8,
+    0xd6fee926, 0x8384def9, 0xa8454b2b, 0x67fd4e72, 0xcda0557b, 0x220bb75f, 0xc63755db, 0x4f633c5d,
+    0x90acf9e1, 0x492885b7, 0xd86871df, 0xea3f1147, 0x36b18cd1, 0x8bdf01b3, 0xb2c5f404, 0xfefae157,
+    0x83c7dac0, 0xb777c9ef, 0x319a6827, 0x8f802d55, 0xafe9e5b6, 0x6f4e7a63, 0x52a0fbb4, 0x71578f68,
+    0xc5f8bfdc, 0x9ab0f037, 0x6369cd9e, 0xd54d972e, 0x9e39f1b4, 0x706ee719, 0x2f33a324, 0xbe647e93,
+    0x4862bc39, 0xa0dfd8ee, 0x0f5c2e84, 0xba4f3a9f, 0x95ec08ad, 0x7b0d2c56, 0x0bae9eca, 0x745cc02c,
+    0x1ebeb68e, 0xcd31d4be, 0x0eacbe44, 0xb41f555b, 0x50d6fe88, 0x3a196dc8, 0xd5619d63, 0x6faa6a37,
+    0x6bf79a0b, 0x16cb1962, 0x3878b1ab, 0xe01c1a32, 0x19f0fdbe, 0xd498f818, 0x232ea7f0, 0xfc447efd,
+    0x5d4f09be, 0x458ac8ab, 0x8f8cb381, 0x8911ddee, 0xb242f722, 0xeadac78d, 0xcc08666c, 0x52874b65,
+    0x4cbafd3c, 0xc8683649, 0x21c25106, 0x78f1c725, 0x81a2cbe6, 0x8d3cc729, 0x9350ba62, 0x82b08027,
+    0x9e1a850c, 0x135cbd87, 0x3b0aeac7, 0x2e24a3aa, 0x8eaf5194, 0x7a4ed9b7, 0x5b34e593, 0xb8ab36cf,
+    0x33466020, 0x9f00bbc2, 0xd9f29276, 0x6d19aa5a, 0xa84943d1, 0xf9ee8732, 0x6dc7d0fa, 0xd4f49408,
+    0x8a97c98d, 0x19c28f57, 0x81fcdcdc, 0x419cb365, 0x1256ea9f, 0x30fdc9dc, 0x0850093e, 0xf8aec6ee,
+    0x777557cb, 0xe804de58, 0x2caed517, 0xe11b293c, 0x744561c1, 0xfb9e7694, 0x4c82f85d, 0xaec4cb67,
+    0x127c156d, 0xa5287320, 0xb3fc51d7, 0x5fd1bf75, 0xceea762a, 0x184d1ee3, 0x0a572e51, 0x7743d116,
+    0x01dbbed5, 0xe5be90b0, 0xd65efe17, 0xb7f68430, 0x190e19fe, 0x51f93c45, 0x1c08689e, 0x920efea4,
+    0xfaac5985, 0xc2af989c, 0x0a369d8d, 0x15017fab, 0x71e67d3a, 0x158e4481, 0x1eb03ea8, 0x18b52c9c,
+    0xb2a1ad30, 0xdbc066b3, 0x3be676a1, 0x95b67ef4, 0x7f141534, 0xdd47e4c1, 0x97af4813, 0xd8e57985,
+    0xea4db2cf, 0xcef5fd4d, 0x4da10b84, 0xff5fe259, 0x28b4f217, 0x16825a01, 0x1e3705e2, 0xc3593510,
+    0x10eb69d1, 0xc49e5c3a, 0xed0c032a, 0x4ea6a249, 0x53db622d, 0xc19b891f, 0x719627b9, 0x056453ec,
+    0x4df2d477, 0xafa41e87, 0xcca01110, 0xc41e688d, 0xca351bda, 0x34191672, 0xfdbfafec, 0x13748894,
+    0x6d6b8a55, 0x8ba60847, 0x0afa8f87, 0x77a09f13, 0x37c72f4b, 0x51de3138, 0x945d0160, 0x51e21e1a,
+    0x3ba29332, 0x0acdaab2, 0xe599e6d0, 0xe4cf412c, 0x22f9f6b2, 0x141818ba, 0xe315b818, 0x569e1bba,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000140737488355328 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b65, 0x87b432e3,
+    0x00000000,
+    0xafb5e9cc, 0xc39ed7b2, 0x9429ef90, 0x8121ff67, 0x5e5a8ce4, 0xf65cf5ac, 0x5da8db27, 0xd3a89954,
+    0x6cdf468e, 0x3c8c8365, 0x459523b5, 0x2c15998a, 0x9a64830f, 0x73757792, 0xf75bb485, 0x4168f8af,
+    0xe8482eca, 0xb75bc98e, 0xd2af6d55, 0x8f0a589f, 0x0385b7a9, 0x7821d4cc, 0x6d4195ca, 0x8228530f,
+    0x72cbed11, 0x93026ccd, 0x05bc46fe, 0xa8b01991, 0x3534b3b2, 0xefd47069, 0xf314a66f, 0x744d908c,
+    0xafaa2e45, 0x6ea5e784, 0xcb105187, 0xb8e79f7f, 0x97a6bda1, 0xb4c55d5c, 0x8f779bfe, 0x2dfc723b,
+    0x58a70a4a, 0x61f1df9d, 0xd377d274, 0x135515e8, 0x301aa3ce, 0x1a973bb3, 0xdfb8992e, 0xece4d9d4,
+    0xb06e8d9c, 0x2b6e2317, 0xcfa3b088, 0xb09ec48e, 0xaa6c643b, 0x7264d5a1, 0x78a255db, 0x9f9de96e,
+    0x8e416503, 0x63385b11, 0xbc9c1fcd, 0xfbcba657, 0xe9144d92, 0x9f92139e, 0x5336cab0, 0xa6bca4fd,
+    0xc3f1df46, 0x454a8cf1, 0x1b55dba4, 0x4ce3a4eb, 0xc5fc9be1, 0x5925ea7f, 0xf0ad5ff8, 0xf56324e9,
+    0xae8fb475, 0x3d846c32, 0x89db4f3c, 0x6ea6e7af, 0xb08c3721, 0x9857009b, 0x327f7547, 0x996d7b62,
+    0xa0ad95b1, 0x60a325bd, 0x25f4961a, 0xe97dbb19, 0xc1d3917d, 0xe29cd237, 0x02205617, 0x733c180c,
+    0xc5e63c67, 0xbbe49642, 0x2de34b4d, 0x05a54aed, 0xc10d9fff, 0xdd7f8ebe, 0xdea09932, 0xaf7b7639,
+    0xaa0a52cc, 0x520b45a4, 0xf51aebb4, 0x8b57d0fb, 0xe5dd75ef, 0x4402ee49, 0x3e126414, 0x4016796e,
+    0x424124c0, 0x10ff9378, 0x72d3cdcb, 0x21cfc756, 0x0bf4ebfe, 0xcb5d1ad1, 0xbd61fb66, 0xec2efc90,
+    0x08c0f080, 0x29354c62, 0x86340b18, 0x382660fc, 0xacfa1727, 0xcbd0b45f, 0xb142c385, 0x536f635d,
+    0x9e95b2b3, 0x0f8b4f04, 0x863c7a27, 0x5e09d12b, 0xf312f0a4, 0x459866b1, 0xe95fde9e, 0xcc51bf21,
+    0x0f93512e, 0xb1749275, 0x5bb01aca, 0xf7cfaf48, 0xe2848275, 0x18592b01, 0xa264cf9d, 0xdf80f04a,
+    0x319fc03a, 0x62bf5724, 0x0c166765, 0x76844879, 0x20f49cd8, 0x1feeb1b3, 0xfbc76bbd, 0x09fabcc9,
+    0x22dc1c80, 0x35d1bed9, 0xe23204c6, 0x6601179f, 0x0fd206b6, 0x98e53782, 0xf1289607, 0xc33f3e87,
+    0xa81eb8b5, 0x62df9c96, 0xee6c109a, 0x6aefc967, 0x65d7d0ba, 0x8f9aae74, 0x6b44191b, 0x3f747269,
+    0xc4bc3300, 0xb7345343, 0xf3cb856c, 0xfc3a8293, 0xfee6b948, 0x1e603f62, 0xdfd60658, 0x0805689e,
+    0x6a4f3548, 0x78d94e49, 0x6dded812, 0xf62049c9, 0x4c60001d, 0xefa881a3, 0x0c124ae4, 0x69379c8a,
+    0xaa99373b, 0xdf2ee2ae, 0x95638e9c, 0x8a4c9f9d, 0x0e7f2547, 0x3c55daea, 0x8bc3ba94, 0x72177b78,
+    0xfc6801f2, 0xf68abef3, 0x2c0eedcb, 0x8355c66a, 0xd67fc51c, 0x7bd764ad, 0xbec5a8e4, 0x5ece1fb7,
+    0xf28520b9, 0xeb897917, 0x548ccf37, 0x5697b9e9, 0xd0e7bc8d, 0x1a62f9d6, 0x201708a8, 0xce3c27a6,
+    0x0143a578, 0xcb954d97, 0x0e5288f2, 0xe164a8fd, 0xb7a34337, 0x56f5d05b, 0xe9b786de, 0x026f9640,
+    0x57f76389, 0xc2e87649, 0x94e81c9d, 0x8c289b7e, 0xa61cd9c0, 0x5bd302e6, 0xa378ed73, 0x6819fe1f,
+    0x1d50cce9, 0xca34c77e, 0x02b9043f, 0xcb8f50e2, 0xd7341bfd, 0x1155b297, 0xf25edda8, 0x80f398c2,
+    0x4a6f9228, 0x3404d45c, 0x98f9e308, 0x833c9fa2, 0x5b3d64fe, 0xb43245c4, 0xd27ba194, 0x5c856c32,
+    0x5fcc92b1, 0x6c024e7a, 0xc1ee9de0, 0x6e93c28e, 0x7df9c5e9, 0x7013750f, 0x4efbe487, 0x24f305af,
+    0x67fc81bf, 0x93942d9b, 0xb7da2ba5, 0x18135fee, 0x5845283c, 0xecc09b7d, 0x8d7655d4, 0xb0684174,
+    0x9cd27dcc, 0x4b365867, 0x2947dbfe, 0xf5b54fd4, 0x40599785, 0x0a061b37, 0xd74547d7, 0xdd0d19ab,
+    0x34aa5fcc, 0x9a43878b, 0xd8dec9fb, 0x705fb550, 0x9c7e4097, 0x41e45bf0, 0x5ea77857, 0x1188a812,
+    0xfad62074, 0xc30022ae, 0x347782e4, 0xf7606938, 0x1a67f9c3, 0x9cb5d786, 0x5102c907, 0x6379a1c2,
+    0x07ea7c89, 0x328f539f, 0x08ea9ee3, 0x6a21acbc, 0x067f6319, 0x494b05ed, 0xaff643cb, 0xf99280e1,
+    0x395ea277, 0xda32317b, 0xb472ba4a, 0xffecfc26, 0xf9864f87, 0x2493f374, 0x4bee5ff0, 0x76da7e9a,
+    0x0059996e, 0xf25b3438, 0xd2cb9f6e, 0x8b0b93d5, 0xa20ec1ec, 0xa9a4f581, 0xc4be50c2, 0x6cd4d65d,
+    0xca745941, 0x46e6e8f0, 0x9b9822da, 0x5e5bd382, 0xc734e058, 0xf23cfb05, 0x2cc5b0e4, 0xaca52d21,
+    0x17729893, 0xc2d19a4c, 0xf1910fd8, 0x8e86a738, 0x23752776, 0xadf3b757, 0x4e139cdf, 0x11db10d3,
+    0x3b838f3d, 0x7ed14420, 0xfdb859a5, 0x98b550f4, 0x1eb45620, 0xeb3d437f, 0xa6742d73, 0xb2d28891,
+    0x4ebc396a, 0xfefb295e, 0x0bc51a38, 0xe87c6181, 0xe72f1b5d, 0xa4c36598, 0x841ef86e, 0xbb70c54a,
+    0x48ce8550, 0x620397c2, 0x76fd4c6c, 0xf39945cf, 0x18edc8a0, 0xe4453fa1, 0xfbdc2982, 0xe5e9f3e8,
+    0x137bc31e, 0xa337ffea, 0x9a6fc2d0, 0x61cd2ca8, 0xa34f7d92, 0x910b9b13, 0x894342cb, 0x05d8b1cf,
+    0x14b3e085, 0x212b04fe, 0xeb209a46, 0x43a3c4cd, 0xeebbc384, 0xd502823c, 0xdeaa2ddc, 0x83c0447a,
+    0x931d0579, 0x2b0cc544, 0x570a015b, 0xc327b33f, 0x68606089, 0xcb883ceb, 0xdae11e07, 0x47a50101,
+    0x0c02d1f9, 0xe7385a31, 0x3be3b8d5, 0xec83831f, 0xd93ffb08, 0xb1fb611f, 0x7d79ea53, 0x7e86703f,
+    0x8d4fc887, 0x0ab38273, 0x3c8e8e24, 0xbd51e5d0, 0xf8b6d139, 0x116232f0, 0xd26e9f6c, 0x86a839c2,
+    0x84f81abc, 0xc147953d, 0x68aad3d2, 0x3d13b7d2, 0xc2078dae, 0xa999b11e, 0x3938420c, 0xc9e47d2d,
+    0xd22d1d8e, 0x463ab407, 0x9c3b624a, 0x02d4d5d8, 0xb83916d2, 0x13543cea, 0x3a722b76, 0x739373e1,
+    0x96409772, 0xe9d0fdaa, 0xbd3ebcce, 0xade8b981, 0x0249041a, 0x45ac3af4, 0xfe33bbc3, 0x7573f1b5,
+    0xd4bca371, 0xd511d1d3, 0x1df29e34, 0x9615e9b2, 0x937a187b, 0x2afa195e, 0xecd6c022, 0x3dec3688,
+    0x41e80eb5, 0x580ea0a3, 0x70df2763, 0x997439c1, 0xb6b8b76d, 0xc8cac9b8, 0x2af7bfc4, 0x924be361,
+    0xd5d0d5f9, 0xf1983a65, 0xd2209794, 0x3596e32e, 0x42d87a5f, 0xd2bcc371, 0x9b3b7a52, 0xd7d49249,
+    0xd8ca0966, 0x4ff89e55, 0x723c3122, 0xce316029, 0xb86a6632, 0xc8d290d1, 0xd706a9be, 0x7d8d3aa8,
+    0x1aea644b, 0xfe830fb2, 0x37509704, 0xb0e5c9ca, 0x9de868a1, 0xd88da5be, 0x3acbaeaf, 0xef04dc64,
+    0xd63a494e, 0xfa33d7af, 0x298d3b24, 0x2ec6660e, 0x8aa071a3, 0xd2d028c0, 0x6dd302f5, 0x31f38639,
+    0xe3ddfa7f, 0x6b94d8c4, 0xf18e9f26, 0x437d946d, 0xe587f7e8, 0xc10f0109, 0x788d427e, 0x0a49c03e,
+    0x10531bf1, 0x3afb74c5, 0x50a7cb2f, 0x3180eb97, 0xc7bc89a5, 0xf63bb01a, 0x78082617, 0x4d2f85b7,
+    0x91b8104a, 0x7d62483d, 0x905e82ba, 0xe273f9e0, 0x5e201bf0, 0xe379f315, 0x5555748c, 0xbd2b0194,
+    0x264339c8, 0x1ed78935, 0x183f33b5, 0xb799c350, 0x91bc396d, 0xb41e8f63, 0x3fcb0dfe, 0xf1916f46,
+    0xcc984c25, 0x49a7cecf, 0x43568cf5, 0x8c9f5063, 0xa58d144d, 0xf48d5258, 0x07f751ea, 0xfcb41396,
+    0x6afdcb71, 0x54351bbe, 0x2547d595, 0xc4704359, 0x6e0d3062, 0x79d22387, 0xe97ff39a, 0xe51da1f4,
+    0x45863282, 0x64e81a43, 0xe0429e96, 0x7065e07b, 0x158ec1c8, 0x9111e24b, 0x0aef5ff7, 0xd7161b89,
+    0xeea53883, 0x75e7ec97, 0x922425b2, 0xecf6a990, 0xc5dc7bc0, 0x9e66585e, 0x933dbdbd, 0xd1803621,
+    0x4a868b35, 0xae27cc43, 0xdf6f31d0, 0xde12518d, 0x78749cba, 0x1bf92ea8, 0xb4c0adfe, 0xe0c99299,
+    0xf6ad62a9, 0x8ccda042, 0x41cf229b, 0xa8ab6f50, 0x9d9f23b0, 0xf0985110, 0x312a0ab3, 0x052ef9dc,
+    0xddac8091, 0x692a1df2, 0x474df9d5, 0xd80e68ec, 0xffb80f77, 0xca5da1c5, 0x16b508b0, 0x9840e5f2,
+    0x2d1a544b, 0xc8f75031, 0x88b6a338, 0x017b5bb9, 0x9fe676c3, 0x49aef67d, 0xe6913157, 0x9a84cf07,
+    0x13ed1186, 0x51291bb1, 0x4c81df98, 0xb0f60f04, 0x095e8077, 0xc32ab929, 0x379ad9cd, 0x21ea415d,
+    0xb9a88af7, 0xcd8f7de2, 0xb03199cc, 0x28ab3ba3, 0x6a642f7e, 0x41dba938, 0x0849b42a, 0xcf180859,
+    0x37f29af6, 0x2bf2195e, 0x490ba5dd, 0xf5924d86, 0x346de784, 0x85116971, 0x5ae5d396, 0xa6a5224e,
+    0x07967007, 0xb674754c, 0x274a81e0, 0x8e96a429, 0xfb59a9c8, 0x94eddc08, 0x9a4c741a, 0x920e712d,
+    0xa3335b64, 0x62ddb08d, 0xb4616f26, 0x7865f67c, 0x1c015003, 0x02e080ce, 0xbf3853b9, 0x1ebe6ddc,
+    0x60306a8b, 0xef1b92a5, 0xd40149e3, 0x41767ac4, 0x8d9974b3, 0x34a7e39d, 0x594a037d, 0x34e7b4f2,
+    0xc8668758, 0x08991319, 0x6a435aab, 0x770cc587, 0x3e9c980e, 0xf1da20ac, 0xbe15f4b6, 0xcc1f9d7f,
+    0xaeec304d, 0xe7dbfb09, 0x0b32fd46, 0xd51d2975, 0xdc2e5368, 0x5c999233, 0x05906bc0, 0xd85f921d,
+    0xc9baef69, 0xf1e401db, 0x4261ed2f, 0x99d96fcd, 0xb17c270b, 0x0ad277d0, 0x82901b51, 0x487ae63b,
+    0xb7b0501e, 0x46c2c138, 0x4c7b438b, 0xd6cc4672, 0xb2e3565f, 0xe66fa8a1, 0xb9d5f4b5, 0xf0cf1890,
+    0xdd89f837, 0x09a8995e, 0xbe9fd64d, 0x54004415, 0xa8112a5e, 0xe4da135e, 0x27139714, 0x5d7525c7,
+    0x4f714b94, 0x9706e7d1, 0xfacd48fb, 0xcb649af8, 0xd02f218a, 0x6bd599d5, 0x813517d7, 0xe324ff68,
+    0xae12c003, 0x1051e112, 0xe115ba06, 0xe9d3eef9, 0xf8c7e79e, 0xfc50c2c1, 0x734f220e, 0xd11cff9e,
+    0xa801c29b, 0xc6d76969, 0x953d9ec4, 0xcd6179f7, 0x909df004, 0xedab81c7, 0x9f4d0e56, 0x392590cd,
+    0xfb671b85, 0x260bd918, 0x646fd982, 0xc2819b2e, 0xd3108a7a, 0x70c2a264, 0xe4b8eb82, 0x8079ff13,
+    0xb6c1260e, 0x8488565a, 0x2eb8ff2e, 0xa6d68101, 0xfec1be3b, 0x13438abe, 0x31945687, 0xb67dc5c4,
+    0x3c95831e, 0xeed3878d, 0x2adb1b57, 0xefa3d572, 0xcab0c5b2, 0x8a928377, 0xd84fbcea, 0x453f41a7,
+    0xf0907b5d, 0x678190db, 0x3ea12ff3, 0x2a5dd2bb, 0xb02351bf, 0x2cf97103, 0x69e948b1, 0xc6812c56,
+    0xfd7d6aa2, 0x6b1891c3, 0x3906d946, 0x1f28af39, 0xb9c10d05, 0x4138e23a, 0x7ab939ad, 0x2200d112,
+    0x7599f070, 0x292c5259, 0xd576d937, 0xe4a424a5, 0x80144add, 0x0cb6d241, 0x84674742, 0x239f2fa6,
+    0x26ef0c10, 0xde3c3b4e, 0x8d086562, 0xd5a9bc40, 0xf6a0f559, 0x426f8f04, 0xca8747c1, 0x41586f77,
+    0x271b2f6a, 0x098573d0, 0x74a1855d, 0x1a7904b0, 0x73f16b58, 0xdb608420, 0x6ceff712, 0xffd217fc,
+    0xfef78682, 0xb5a00b0e, 0xc5c5c619, 0x7adb1159, 0x955881bd, 0x060f3cb8, 0x32bcb65f, 0xbe3569ac,
+    0x2462f7df, 0x600c9cf4, 0xb8dc284f, 0xa3610b29, 0x2a3b52ae, 0xab6463ce, 0xd9618c36, 0x696f20d3,
+    0xac4c5628, 0xf47b18ce, 0x9952ad33, 0x02a3f600, 0x4eae1363, 0xdd86dfb3, 0xeb5171de, 0x431c7c49,
+    0xef8b0233, 0xec6ee12b, 0xa602dd9b, 0x1d0c2cf5, 0x49974e0c, 0x153fc760, 0x39bdab34, 0x85144981,
+    0x57503ff4, 0xe4fd31c3, 0x7eda6398, 0x2b23810b, 0x94238f75, 0x5a9da7c5, 0x3a2b173b, 0x0944656a,
+    0xa87ac3d4, 0x293606ce, 0xe32a8545, 0xac2c21f5, 0x2d44cb9d, 0x30c95cc1, 0x090da149, 0x10eac431,
+    0x51f42b8c, 0xbe876b59, 0x044e5745, 0x61bb75a1, 0x9b704b41, 0x3e44ae7e, 0x86a22a8e, 0x9088d81d,
+    0x8f0baa45, 0x59e9ca3f, 0x0c0ee2fa, 0xd8274234, 0x509e1493, 0x21c3a8ae, 0x4ba5df30, 0x75d4ac1a,
+    0xd58e16db, 0x0fbbf65e, 0xf9e0f3df, 0x718534ec, 0x1c0b9fb9, 0x502dcac7, 0xcb22e788, 0xd44cc957,
+    0x64476bd6, 0x067f2069, 0x21a03384, 0xeb5e5afb, 0x0946787c, 0x0563e513, 0x5eab33e2, 0x7175ae14,
+    0xa38f0331, 0xd54c365d, 0x594fdb4c, 0x2529be1f, 0xdf9a6731, 0x759dc71f, 0x3b5dd32b, 0x92ff500d,
+    0xc2d6dd0b, 0xfb90ba0a, 0xfafb28c3, 0x53d92f72, 0x33e16415, 0x71a61ef9, 0x9dc3b367, 0xfcd8d092,
+    0xd09d152a, 0x214c5e9d, 0xe32b4f40, 0xc451fb8a, 0x7b8f8230, 0x6139a07f, 0x2737c931, 0x8074e7fa,
+    0x3e4bea26, 0x92f7aa54, 0x7ea65163, 0xd36f2a8d, 0x218c46cc, 0xfe016191, 0x9057bfcd, 0xeb09bf88,
+    0x916c7993, 0x32ea1e62, 0xcb19a012, 0xfd5e275a, 0x9c6bdcbe, 0xe1eb01fb, 0x9e417256, 0x067b3318,
+    0xb35383d9, 0x0dd07386, 0xbdb9e5d8, 0xc74b1152, 0x2bff5668, 0xe14a3cf7, 0xc4e02701, 0x1246872f,
+    0x1530031c, 0x064d25a6, 0xf4414416, 0x98dfaa1b, 0xc22567d4, 0x054a405b, 0x7c5269c4, 0xc7160e09,
+    0xa507a537, 0x6e1e10a9, 0x8a08d73a, 0xeeddba97, 0x3b891e3f, 0xadff5d92, 0x1367b64b, 0xf1e92a5f,
+    0xc10320db, 0x65c22c16, 0x3d0b69c3, 0xf316e6d8, 0x3fea5b95, 0x0532db32, 0x7fdf3a3c, 0x54dc35cf,
+    0x22cff011, 0x41530286, 0x49bf8864, 0xea2bc751, 0x181ff742, 0x1174f6f2, 0x5b4ee81e, 0x4258ae67,
+    0xb4af537e, 0x5606e4d6, 0x131818ee, 0x72fa09c1, 0x5ea64bb9, 0x1fa4d6ac, 0xff5fea38, 0x85a40c53,
+    0xe6c4a65e, 0x94906282, 0x76f677dd, 0x99e59f5c, 0xe49ba3ff, 0x924738c3, 0x96212ed2, 0x4821065d,
+    0xaa99ee98, 0x0a295df1, 0xf6f1f8dc, 0x70fa5e5e, 0x8aac6c2c, 0xcb05a7e0, 0x3c27f914, 0x2572bec7,
+    0x1733f181, 0xc3597fbb, 0x9515b2a2, 0xa267a7e7, 0xb3a8e6be, 0x90687567, 0xbcd584b0, 0xe1d64083,
+    0xc23b8b37, 0x13f3c6de, 0xdc78779f, 0xda93e99e, 0x77e8af52, 0x9bce6712, 0x4f334dec, 0xcc1556f7,
+    0xd33b3d7a, 0xa548b67d, 0x5c09a28e, 0x1f433c32, 0x8079b8b9, 0x1af6750a, 0x9108037d, 0x301be71e,
+    0xc60ddfe3, 0xc2cdf498, 0xec09e313, 0x29d02736, 0x00c819de, 0x8de79092, 0x92c0ff13, 0xe3a0021f,
+    0x0a4f344b, 0x6b7e6c88, 0xfb8c0b0b, 0xd7c31332, 0xf5d4153a, 0xd48fbb6c, 0xcc4403ef, 0x1d82105b,
+    0x185ebce9, 0xe1289786, 0xd76b08bf, 0x5bd8ce77, 0x45fd0ac2, 0xfd2a7f0c, 0x038450f5, 0xf053d6c3,
+    0xb1b03787, 0xe60631f5, 0x24a3d1f5, 0xce764801, 0x7b8be052, 0x994ca26b, 0x5a9d2635, 0xd21e3774,
+    0x068add3a, 0x907597d7, 0x1eafd820, 0xeba55d22, 0xaef47037, 0x6edcd918, 0xd1dd336c, 0x3c87f179,
+    0x879563f8, 0xa1373013, 0x6d92eabb, 0x8c4a6f00, 0x85688fb8, 0xfa435ac9, 0x342f7973, 0xaf7b8e6d,
+    0xdd2e4c41, 0xa2d8fd00, 0x05124324, 0x3f2760c1, 0x7344a7a4, 0xeba98826, 0xd82e562e, 0x02076601,
+    0x98f4867f, 0x8777c9f9, 0x43795f71, 0x1752472b, 0x6ae1eecd, 0x88e18398, 0xc45f3a11, 0xc75c80b3,
+    0xcb375dd7, 0x67063eb8, 0x21849717, 0x26777ee0, 0x533200fa, 0xf850289c, 0x5ed18dda, 0x0bfec6b2,
+    0x00f77c40, 0xcb2ab8d3, 0x1684911c, 0x2a5a0f3a, 0xb7c9c30c, 0x7500f4bb, 0x362982bc, 0xfad80812,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000070368744177664 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b2, 0xc3da1971,
+    0x00000000,
+    0x95f8483f, 0xd83e42b6, 0xdcbd6476, 0x17b0e2a5, 0xf617e03a, 0xa94f453e, 0x22bc1d5d, 0x2525a54e,
+    0x932a2df6, 0xb660489c, 0x3f92e950, 0x45329561, 0x34125ab9, 0x11ed45e2, 0x8c6f2c90, 0x51a637d5,
+    0xea6cc22a, 0x73ba015e, 0x3d71f522, 0x4e989470, 0xd64a0113, 0xaf5a3a45, 0x93960798, 0x1b81491f,
+    0xa0739775, 0x09b46b02, 0xf6dc0cf7, 0x372ae2a8, 0xf697d0fb, 0xcc306e50, 0xdf536549, 0xe96b1e90,
+    0x6e873aa9, 0x60f3e21d, 0xa921a94d, 0x74aca166, 0x6d064d56, 0x5a475678, 0xf8395d74, 0x797b81f5,
+    0xbf168ddd, 0xe65c841d, 0x70834bff, 0xa0334d6b, 0xc3fece5e, 0x3bbb181d, 0xaa2583c6, 0x306ad126,
+    0xd6fb4e36, 0xc0fe4145, 0xa34246dd, 0xfbe7423d, 0x0e1861a9, 0xb0254a54, 0x5e40d1e4, 0x406ea659,
+    0x98bad46d, 0xe12c499e, 0x1521aef4, 0x69156577, 0x992d1fd7, 0xa6fe1217, 0x8062734f, 0xc43db622,
+    0xe91a1d5b, 0x3a495789, 0x0412fd69, 0xb4dc8e0d, 0x94999e52, 0x655db2b0, 0xceedb08b, 0x857f1c6c,
+    0xabf43269, 0x3a27295f, 0x0c3bc507, 0x4c3290a6, 0x9d66cbc7, 0x52c4c817, 0xb7014c59, 0xb58adcb1,
+    0x555a038e, 0xd744c088, 0x9fae9d08, 0xbd7f2496, 0xa9a301ec, 0xa8993c2e, 0x008c8d93, 0x1f273760,
+    0xe0270712, 0x71bcba1f, 0x5a1739fc, 0xb6b70a8a, 0xb3c61e08, 0x33a0af34, 0xe086a0fc, 0x3da7913d,
+    0x6d4cc5af, 0x246be7fe, 0xbde82758, 0x266ae155, 0x90711ffd, 0xdccac56d, 0x92747b53, 0x5092beff,
+    0xa201fd43, 0xd80fcb38, 0x2d08bbf7, 0xe6f95221, 0x4275d25f, 0x372a1344, 0xfc123233, 0x920d1b1d,
+    0x515f1a69, 0xc402faa9, 0x7948cb8a, 0x3a4480b8, 0x89d1cf87, 0xb795faa5, 0x0e3a89cf, 0x48965af8,
+    0x0dafd1db, 0xb2f25fd7, 0x0191f493, 0x60384d55, 0xfab4c6f2, 0xb92fd445, 0xac418bbe, 0x857a3698,
+    0x8bdbf913, 0xd4801055, 0x0569ecf2, 0xefc53458, 0x5674973b, 0x85b2c6e6, 0x3ba9e3b8, 0xf5095961,
+    0x35ecba36, 0x274415a0, 0x90501480, 0x26d1d887, 0x40473a9f, 0xbac1b927, 0x8c9cde44, 0x48d0215b,
+    0xca139018, 0x71f36d3d, 0x9765e809, 0x66007fc5, 0xc9e20e7d, 0x9fbf1577, 0xf7b56dcb, 0x00dda4f7,
+    0x8f7c2042, 0x3b4eacd3, 0x51d93850, 0xa010be5a, 0x48b796ec, 0xe3e27f79, 0x91c03429, 0x7b6236f9,
+    0xad9d57bc, 0xaecfb616, 0x5b6c5fa2, 0xa377fec0, 0xa602c491, 0x507201ed, 0xf286ffef, 0xa67d1fd0,
+    0x129e7653, 0x0d4678c5, 0x18635c60, 0xbb2cc4c4, 0xf9ed164d, 0xd2b6929a, 0xcd5cf616, 0xcc41a977,
+    0x19d2fb5f, 0xf163a52c, 0xce1f3c9a, 0x7761aec6, 0xab17bb54, 0x30831eb8, 0x43d16817, 0xdae105b4,
+    0x16b6ac0e, 0x1ddf75a7, 0xa0322bde, 0xfb0fe74f, 0x2da54cf9, 0x7132cf17, 0x91c9c63e, 0x863f46f3,
+    0x6023e603, 0x14fa52d1, 0x3f9279ed, 0xb580fc00, 0xab8679c9, 0xce47ef90, 0x2cdd43f1, 0x26cea89e,
+    0xe02b5a1a, 0x23148e90, 0xfb638e3d, 0xeb8e4f67, 0xfaccd5a9, 0x074a562b, 0x5293c41c, 0xe18c56f8,
+    0x1e81a5ba, 0x02bb3087, 0x0f003595, 0x337e65a6, 0x89758095, 0x9fc2d704, 0xba5983de, 0x0f3e6217,
+    0xfb16ad6b, 0xee13f05a, 0x95f2db83, 0x9793bc75, 0xd103e458, 0x8817373c, 0xa2be8c67, 0xc36df001,
+    0x9eb54a57, 0x4b00a86a, 0xe2f5894d, 0x0365bdac, 0xb2229246, 0x1a54a784, 0xe83bccc3, 0xb0f9aa42,
+    0x2098c65d, 0x669be951, 0x80035a5f, 0x49ae48d9, 0xe88b3a68, 0x28fabdc0, 0x3d39b70a, 0x69f4e413,
+    0x6ee2bea0, 0xbe9e2d2f, 0x7c44ada5, 0x08d10e70, 0x95115a2a, 0x09bbee43, 0x91d091e7, 0x80f1445a,
+    0xf68cf7af, 0xb25c29f2, 0x0f6b2387, 0x3a66937c, 0x4e708422, 0x2f21c244, 0x87b29826, 0x4a6de5d7,
+    0x5586de5a, 0xff018268, 0x5e6a4f3d, 0x80b82ef3, 0xdf58c64c, 0xc04f29c0, 0xa470ea48, 0x9d4cd97a,
+    0x52824148, 0x1545f4f0, 0x1927e300, 0x55d528fd, 0x5fe55863, 0x48176249, 0xed50a241, 0x56394cac,
+    0x7abc2e58, 0x42529fe5, 0x123e5eac, 0x4451b534, 0xd4535f05, 0x09c9b6e4, 0x30658f11, 0xf3645323,
+    0x813c2eae, 0x47fdf025, 0x298c8cd6, 0x1d7cb9e5, 0x931ce62e, 0x3194abcf, 0x733254ea, 0xee33087c,
+    0x5b65993b, 0xccb39c36, 0xcb06edac, 0x001ca96a, 0xfca678ec, 0x36cc7799, 0xffba5b7e, 0x5335c616,
+    0x88705c3b, 0xda2afffb, 0x4ede9004, 0x55c0c894, 0x6099f945, 0x7b2af716, 0x46b7a9eb, 0x0b0ff37e,
+    0x60c89f07, 0x38399059, 0xa1effd37, 0x9deb611e, 0x1d5bb792, 0xc1986c70, 0x694b1b3e, 0x782083a6,
+    0xc76bd68b, 0x379bdb36, 0x94062b29, 0xbdc8b0be, 0x380f3c27, 0x2fe1f6a2, 0x5b1ef6ef, 0xeb473f41,
+    0xe2ab8b69, 0xa772e3c2, 0x93948ce0, 0x2aac82e8, 0xbcb384f7, 0xf00b0136, 0xf00e2bac, 0x4e7cf244,
+    0x02e161c4, 0x2a81944f, 0x132feeca, 0x8625c609, 0x352b99d2, 0xffafd76b, 0x500e9f24, 0x5734af67,
+    0x7e94649b, 0x68e01dea, 0xa38b71de, 0xd1ecff64, 0xc6001dc7, 0x958f058a, 0x0c30b2bd, 0xb59d67d2,
+    0x2049ffa5, 0x78166c79, 0x49092326, 0x749cf1ee, 0x003860e6, 0xbf21cb0a, 0x6441974b, 0x9954c50e,
+    0x89a6c030, 0x03a9620c, 0x1ad6d52f, 0x6e2991ac, 0x0f7fa55d, 0x92fc2218, 0x6ac6caf4, 0x457e889d,
+    0x43f2fd8a, 0x28f99043, 0xe6878bde, 0xd4c8ee44, 0x1206e934, 0xe95cb811, 0x7afed94b, 0x17ee0a95,
+    0x22292008, 0xf131449a, 0x5055f2a4, 0xb8072c83, 0x8d8556b1, 0x69708086, 0x277d22de, 0xb76a3499,
+    0x659fb527, 0x321b2c09, 0x6f4034e7, 0x4a48ab27, 0xe68334c3, 0x7a941c08, 0x142dad57, 0x62c711b1,
+    0x0c9a6fd7, 0x9e136c8f, 0x11fa7447, 0xde25c7e3, 0x0985b08d, 0x8a93bfb3, 0x7e81ad91, 0x8cfc90df,
+    0xc536bbe2, 0xd4351cd3, 0xf6e5812f, 0xeeaf4fa6, 0x59b39036, 0x372e57c5, 0xd30fce93, 0xb81ea9fa,
+    0xd48fe96a, 0x46023a97, 0x220f35b5, 0xbacf3bc7, 0x59fb7e76, 0x4e64ace4, 0x747d9a1a, 0xbe61e43f,
+    0x52c8c58e, 0x42ae5022, 0x149d967c, 0x79089ef7, 0x14593d58, 0x096713d0, 0x7aea4083, 0xab867e61,
+    0xcd2cdf31, 0xd28f50df, 0x096b649c, 0x23d31fc3, 0xc3ee7938, 0xae85475b, 0x7d271ca4, 0xfb8ba67b,
+    0x27032089, 0xcb17e251, 0x113b686b, 0xd6d8c50f, 0x58321d48, 0x1c9f8fc6, 0xd48d93a3, 0xc0ec1dbb,
+    0xb7201057, 0x339f8d58, 0x6243f0eb, 0xeda68ef8, 0xfd9b1398, 0x9ddcfbd9, 0xa17ddd08, 0xbd1d3946,
+    0x19a923f1, 0x8d54c11a, 0x776afaee, 0x2a0d3ef2, 0xc7cf7a37, 0x6ac4d9a3, 0x11fb2f9c, 0x8862bbc5,
+    0x13f39e02, 0x882ebf0d, 0xa9e6dfea, 0x451ac976, 0xaf009ba6, 0x51b7cefb, 0xdefb4ef0, 0x0b9145e3,
+    0xcad4de25, 0x40d99958, 0x46fbd78d, 0x6ec517c5, 0x2f54fd7c, 0xa3d558f7, 0x4c58d7a5, 0x0b9cb002,
+    0x9c0d5763, 0x52c14e62, 0x3c3a3edf, 0xa9558ae5, 0xa032a3a4, 0x258d6f8f, 0x7f45a7bb, 0x4ad7bbfc,
+    0xf895b7e6, 0xe4bf8ce1, 0xb4574c3f, 0x62d4bd68, 0xcd2a982d, 0x08111b00, 0x87465b98, 0xe8f2a52f,
+    0x468808b3, 0xbd0cc2b3, 0x3a3307bf, 0x0f682e43, 0xb313b0ac, 0xec78217f, 0x563becf6, 0x7dfaf889,
+    0x1a884e93, 0xa91f5bbb, 0xb6a3fbb9, 0x28f0cafb, 0xf1136289, 0x5d15ab6c, 0xdbe68835, 0xb48ee61c,
+    0x983018c8, 0xc86c57d1, 0x7778cb06, 0xc1c5dae8, 0x5c1ece0c, 0x1ee532d9, 0xa4144c00, 0x60cccb44,
+    0xae34a70a, 0x93d8b297, 0x7715dd49, 0xb4b387e0, 0x7f3ee4c9, 0x75a084e1, 0x87057009, 0x64368d1e,
+    0x413e05f8, 0xcd6b8810, 0xe7d36484, 0x46440d27, 0xf73d9939, 0x70254d48, 0xbe270acb, 0x18fe6683,
+    0xdf1dd6bf, 0x6a82e64b, 0x77ff0aef, 0xd7821c9a, 0x32641bef, 0xb06318ca, 0x23f83fe4, 0x7d7ef29d,
+    0x21089611, 0x41b0f4a5, 0xe103052f, 0x58af89a9, 0xc4c29a30, 0x8f2b340d, 0xcb954d98, 0x70230447,
+    0x7f5883f1, 0xb4e13ead, 0x8ae9cca8, 0x673d8ef3, 0x608610db, 0xc5f4aacc, 0x7de8188c, 0xfc13d035,
+    0x1c538175, 0xc65a066c, 0xd534d394, 0x97daf426, 0x159d3042, 0x416be124, 0x735f5c91, 0x12e5b0e0,
+    0xa4e5ebf6, 0xd0677694, 0xa9342aea, 0x9def9eb3, 0x9960621c, 0xcfd83082, 0xc49a6caa, 0xe3a16236,
+    0xf8c093ed, 0xe732c536, 0xa8b69c8a, 0x5a2ad1b8, 0xa452916c, 0x8bb4362a, 0xc79fea09, 0x7bd8fa62,
+    0x1eb8d299, 0x3e198644, 0x94c61483, 0xf0c22237, 0x696f2c4e, 0x760f5ed1, 0x9f0a2f43, 0xed190b30,
+    0x7bfcc1bf, 0xb5fa51aa, 0xe6eca2de, 0x95f475f4, 0xf34d27cc, 0x2f1485d0, 0xd51e820d, 0xcd2e2725,
+    0xe50dcd4c, 0x158f4f22, 0x38a90673, 0xc85edd43, 0x57ea1795, 0xd8536266, 0x05326f0e, 0x179b1469,
+    0x8680bd00, 0xf095beaf, 0x3cefa6e7, 0x828b07b2, 0xb50a0558, 0x8d815d46, 0x4f775837, 0x30eefece,
+    0x0e23387d, 0xaa85b011, 0x57e6f233, 0x92cd33cf, 0xd13fa9a9, 0xa8973b75, 0xad7e8c74, 0xef09afe8,
+    0xb784990c, 0xbbcca1c4, 0xd87884e1, 0xbe77c6d0, 0xa0a88dd3, 0x18853467, 0x177a0c6d, 0x69bf0f77,
+    0x2b5776a1, 0x4876cc9d, 0x98f11b35, 0x05e86e61, 0xe329b7e4, 0x91ee1a68, 0xa597be19, 0x00f38c94,
+    0x6a1c7bfd, 0x64719ca2, 0x2cb9b0a8, 0xd4b30a32, 0x0b14f1fa, 0x6ee6dd0c, 0x8fa705b2, 0xa596a135,
+    0x3088717d, 0x22ed61e3, 0x7a556b82, 0x6037e376, 0xd4baf560, 0x598d40b2, 0xf7e26ea3, 0xf8c6bba1,
+    0xa35ee2ff, 0xddd90b6c, 0x615f760e, 0x2faae11c, 0x2aa6e082, 0x9007abcd, 0x26eb1634, 0x328ef36c,
+    0x1ad980e6, 0xc5d44541, 0x2754e2df, 0xb848915f, 0x7b30a473, 0x896a19e9, 0xb3fcd6f6, 0x7ac73ace,
+    0xf3f93d59, 0xeeb802ad, 0x93f98e07, 0xd2f5fc4f, 0x9249845d, 0x26bae643, 0xf262be5f, 0x34fdce83,
+    0x7d70fc40, 0x04891202, 0xb9da8b6b, 0xe1ca6697, 0x7aa938ad, 0xd0ff7a2e, 0x094e2b5f, 0x1dccba6e,
+    0x60699917, 0xbc748202, 0xf9c74922, 0xebcdcea2, 0xc70432f4, 0x9ffa8511, 0x13ef850c, 0xcfbeb002,
+    0x0f7e1e5d, 0x1b09a2ed, 0x28b5d7f8, 0xa43c9181, 0x2bcf2b96, 0xd45b688e, 0x435e47fc, 0xd3700a1a,
+    0xfbed08c6, 0xe66f9f9e, 0xfef96100, 0x502b3281, 0x938e10c1, 0xd0577487, 0xd7366f7c, 0x12338e17,
+    0xb7ea15f4, 0xc520f10a, 0xbd2739a1, 0xc745ada9, 0x94ebedd8, 0x1ffb3862, 0x10f297c1, 0xd78feb07,
+    0xca85f454, 0x6c5442e0, 0xd7d749d8, 0xa86f8fb6, 0x46510ed3, 0x992c75f6, 0xb7177976, 0x3ddf1b57,
+    0x2576c3c1, 0xfeec3e57, 0xd32ea30f, 0x841b3c9f, 0x63e8403d, 0x7cf52480, 0x654017dd, 0x94d33b32,
+    0x5ea25948, 0x0a91fee5, 0xdde9ba92, 0x6d007659, 0x8b1f47ff, 0x7bb957e1, 0xfe2f8d17, 0xb886bfae,
+    0x6d60f8c5, 0x5d56f0e2, 0xafaa5e24, 0x44dfaa60, 0x9f7e4c3d, 0xaad7b8b9, 0xc64cb1d6, 0x7dbcb353,
+    0x8cd847eb, 0x411fff1f, 0x2a79e83c, 0x98c4a660, 0xf4488abf, 0xed2c718c, 0x2bc7ce69, 0xc8cbd01d,
+    0x67aed0bf, 0xdf81cb7d, 0x0e0216f6, 0x17a51511, 0xfb4a5db4, 0xff94a6fd, 0xbcc18995, 0xe38258f5,
+    0x1bd19fe0, 0x95495fd8, 0xa9861b98, 0xfa9477fc, 0x3f821b59, 0x723b2e9c, 0x3d89a774, 0x4c1b7eb6,
+    0xc2097d74, 0xdf73b719, 0x405636bf, 0x7edc00eb, 0xafd23ddc, 0x64f93cf9, 0x26858792, 0x5bc314fa,
+    0x57338dca, 0x3fd2e7dc, 0x8fd38831, 0x25571479, 0x247533c3, 0x7bd46fda, 0x29b4a4b5, 0x2322837c,
+    0x2d1adb88, 0x2196f6c9, 0xfcbb6378, 0x39c96398, 0x63e14792, 0xa4374385, 0x77acb486, 0x2a8c03e2,
+    0x89806d4c, 0xc87e6e83, 0x1ce5c667, 0x4da5dbc9, 0x538688ba, 0xf792f5ca, 0x49d4e928, 0x5e0452b6,
+    0x54ce6ca9, 0x118aa5c4, 0x5814713c, 0xab794c31, 0xd6b2d7c3, 0x5111d9e9, 0x002cc720, 0xa353999c,
+    0xa87147fe, 0xa2bc7fda, 0xeca4fb3d, 0xcbd92a87, 0x6b6e3b5f, 0x3941d2bf, 0x4f6bb030, 0xc33e0826,
+    0x1b564ac1, 0x61b621eb, 0x40634bdc, 0x99b7ab2c, 0x15d2603a, 0x7ba282f8, 0xaf4a9577, 0x0acb95c8,
+    0x2486d481, 0xca3d95f1, 0x6d12361e, 0x496e1403, 0xc6e4b998, 0x0c16d8ce, 0xc64aecc6, 0x88367651,
+    0x2451a536, 0x6f0d2433, 0xa66ec6b8, 0x1e6474c0, 0x766936ec, 0x2be0c4cb, 0xe66d77a7, 0x9629a898,
+    0xcfe33b26, 0x6364fb49, 0xb7ca5a68, 0xe93346bb, 0x9cc8c858, 0x2b323413, 0xf8a0242d, 0xe3974ed8,
+    0xf9b61423, 0xb41dee62, 0xe42a45ef, 0xb9bcda24, 0xa9d4b85b, 0x026fdf82, 0xeebbe71d, 0xb20883bc,
+    0xd530987b, 0x73a49ae8, 0x35c08610, 0xd6e6cceb, 0xfb2c0514, 0xe39e1991, 0xe5a675c3, 0xe7525b24,
+    0x082e64a4, 0x7a5921c7, 0xc0e111cb, 0xd7b9454b, 0xdbe01ef2, 0x9444645f, 0x4a53a7b1, 0x07dc8314,
+    0x57bd86aa, 0x4f3d5c56, 0x653fe143, 0x3fb96e6b, 0xff72da3e, 0xa761ee50, 0x9df95510, 0x5833662f,
+    0xe07d7aca, 0x01952eab, 0x51c10f3c, 0xf4c522e6, 0x6186239a, 0xf79c9155, 0x3976d003, 0x9967367f,
+    0xea0f0742, 0xc8e758ff, 0xe5ea50cb, 0x9706d370, 0x02df9e7a, 0x4622c89a, 0x43759c11, 0x090a6886,
+    0x6b58e4b5, 0x1a76318e, 0xe2ffcd75, 0x4fa00f08, 0xf6306097, 0xce2f35fc, 0x8bdf14a2, 0x897e3a20,
+    0xac697769, 0x47174136, 0x0e183ccf, 0x8d329d39, 0x953dcc42, 0xdf9e49fe, 0x1ea310ca, 0xa0a217eb,
+    0x5b46bb4d, 0x90d4d81a, 0xfa499c49, 0x182d3fd7, 0x82279bb9, 0x0297a5af, 0xdde18371, 0xb3bbcd3e,
+    0x99e33cff, 0x0a4aab27, 0x192a9efc, 0x841c31c7, 0x30a5c748, 0x2199193b, 0x56e62532, 0xe5f6888d,
+    0x03e7ff42, 0x455ea71a, 0xfbacb0e5, 0x06a88588, 0x9d9d77be, 0xefb69b83, 0x4ce8b8f5, 0xb4eb2ed0,
+    0x5b9a5505, 0x0aed1866, 0x8e9fc040, 0x1a56b4bc, 0x761c45b2, 0x8909b769, 0xe14512b3, 0x3d33faf9,
+    0xa6527753, 0x08a8b086, 0xc253e13a, 0x081d2d8a, 0xb2a6f7cb, 0x37e353fe, 0xdc466734, 0x64fba2b4,
+    0x15e112f4, 0x6999bd6f, 0x18e2e748, 0x9db78fab, 0x6dc6e57e, 0xe654ff24, 0xcfe067e4, 0x5a49d3d6,
+    0x869392cc, 0x8f68ffcc, 0x22972577, 0x49ee2d79, 0xd745db57, 0x1b2e5ce2, 0xd532f653, 0xdf7d7df5,
+    0xb3ef8754, 0x45a2d16e, 0x73d8b45a, 0x13938b0f, 0x2894910a, 0x6191d026, 0xc6cd11ca, 0x654dfb9e,
+    0xa16c287d, 0x9f936643, 0x09cfa5b9, 0xcbfa3dab, 0xfdb26de0, 0x2c549849, 0x77dee7fd, 0x877fb9a2,
+    0xb78d605b, 0x17c477dd, 0x6ad84157, 0xe9f171e1, 0xecf0bfb7, 0x30124eae, 0xdb3585cb, 0xff173664,
+    0x5fe0d3b6, 0x383414da, 0xa14ce3b5, 0x141564f4, 0x6d1351c6, 0x3d248bb4, 0x5b9ee9ea, 0xb9b7cd07,
+    0xe32b4ea2, 0xf03976f2, 0x067dcf99, 0xf553ee5d, 0x064350f2, 0xee052f2e, 0x857c7074, 0x51f80381,
+    0x3d3eca70, 0x1eea8906, 0xf2fd1096, 0x4d67ae3b, 0x514ae5af, 0x025db323, 0xbcf8bf82, 0xab4cb24f,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000035184372088832 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad9, 0x61ed0cb8,
+    0x00000000,
+    0x8a8cd5ee, 0x98781456, 0xbcd2bd00, 0x71054f82, 0xc38a4dce, 0x8107582d, 0x416f9188, 0x5c24715e,
+    0x5418a4d9, 0x755505e6, 0xca4893f5, 0xdc032db8, 0x5d2f6d35, 0x527a5b3a, 0x89414e3c, 0x8112ef46,
+    0x70b22bd4, 0x6d2a544a, 0x794ac3a8, 0x623b0075, 0xb73a7230, 0x56293167, 0x23172da2, 0xdbf4cd4f,
+    0x42645158, 0xda6684bd, 0xc4d19908, 0x12907ee1, 0x45cb10b5, 0x192a82b9, 0x5ff340d2, 0x0a508b01,
+    0xa6a81088, 0xd72d3efb, 0x89065284, 0xe0f567f2, 0xfa011a5d, 0x219bce76, 0x183d3c5e, 0x232f48fb,
+    0xa04c2361, 0xd3d6d43e, 0x563dfed2, 0x71950173, 0x4211f135, 0xa3d1c506, 0x42081ad6, 0x19522447,
+    0xc93b158c, 0x22123feb, 0x610c749b, 0xb22ac185, 0x50915f7b, 0xa61fcdb3, 0xd1b82fdd, 0x389230db,
+    0x82464e7b, 0xf307ff08, 0x6ceea272, 0xa0f42bcc, 0x4957f423, 0xfff30410, 0x8e6be308, 0xcbb53622,
+    0xb7fb518f, 0x731e90ec, 0x074b518d, 0x9ec698d0, 0x6b32b078, 0xe9ded3d7, 0x640a504b, 0x97276860,
+    0x8a9b0257, 0x86cdad34, 0x057fae16, 0x1f0061f6, 0x70e5282d, 0x4aa6da40, 0xa85d87fe, 0xa346d107,
+    0xd6b04402, 0x261e402b, 0x8966029a, 0x7a14f6a4, 0xca4906a1, 0xe98b2efe, 0x1b7d28f3, 0xa475dd5e,
+    0xf27eaa15, 0x7a113c7f, 0x58c2b19f, 0x9bf4b98e, 0xe2233520, 0x57d894e3, 0x84801c79, 0x024a0d13,
+    0x9665a7a0, 0x0863b484, 0x8799acfc, 0x1f6b6579, 0x5a5aaa23, 0x10a59da1, 0xc48d1094, 0xbe4577b0,
+    0xc8826556, 0x4bbedd54, 0x7242e170, 0x64207ca3, 0x8d477f94, 0x5637eab1, 0x8908940b, 0xd957d2c7,
+    0xdf185ff7, 0x89057810, 0xcb2fbaf3, 0xc6c50827, 0x44ad81f8, 0xb43b2903, 0xcc4ef29c, 0xb9b8a84a,
+    0xc6a00974, 0xea1b685a, 0x4ba25bc1, 0xf71ce5e4, 0x84a0476e, 0xb7f9180e, 0xbe04143b, 0x4c3db951,
+    0x4d4a6d19, 0x40f18010, 0x33da774a, 0xb2f0628a, 0x35ebdd95, 0xbf9ec6d2, 0x04e9a597, 0xcdc36ff3,
+    0x39786e5e, 0x9cfee2ee, 0xfca9508c, 0x364fc0f3, 0xfc8e7c0f, 0x217d3728, 0xa933236b, 0x5f35e6d5,
+    0x3702b116, 0x83068d41, 0x1a100cdf, 0x9624ae43, 0x72ae1c29, 0x41b64516, 0xbb204aec, 0x34358564,
+    0x1cad4591, 0x6f721dbf, 0xf6d2396f, 0x328273cb, 0x38ee092b, 0x5a2db613, 0xd8a903f2, 0x0216cd64,
+    0x6e8c2be2, 0xe05ce98e, 0x94b9c01d, 0xd9176e95, 0x611b495e, 0xc2db1ee7, 0xeeff263b, 0x279b3068,
+    0x1c986789, 0x589c1840, 0xaf8e51a6, 0x7ddda627, 0xdab5ef93, 0xa6914c15, 0x3b92c7b8, 0x0c08190a,
+    0x681eb584, 0x2dd29f6c, 0xd6a67535, 0x23189734, 0x3b1bc227, 0xea258b58, 0xe4e96c2c, 0x743a2bf5,
+    0x7cea169d, 0xdf0a96d6, 0x7ac1c494, 0x7da167e5, 0x4fbf0e16, 0xe867a610, 0x6b586caf, 0x7f35b67e,
+    0xf33c41d8, 0x424cc719, 0x260d3839, 0xaa2dfc5e, 0x29896202, 0x4da8c0d7, 0xc46a79ff, 0x98319711,
+    0x6c34f2dd, 0x0ecc90ea, 0xca0878ea, 0x12c5396c, 0x620b4810, 0x71dea391, 0x6e205381, 0xfa880025,
+    0xfa1b70ea, 0xe877d8e5, 0xebd73810, 0x3fe06b58, 0xfdcd0d82, 0x45f07cf2, 0xfd14de83, 0x80cd7c45,
+    0x9d49edd4, 0x5b79d712, 0xa3d50630, 0x22f00da1, 0xcba03bf0, 0xd2cc928e, 0xe5dbbc1f, 0xdc42b0df,
+    0xc713cfd2, 0x535bca1f, 0x444ba032, 0xaf7a2974, 0x7cca7923, 0x7328e79d, 0x23bd516a, 0x42d5b9fe,
+    0x9012be3b, 0x8ad64a1c, 0x703cb8e9, 0xc0683d7c, 0x15e0d91c, 0x26a2df42, 0x03f0a946, 0xafb46cd0,
+    0x5d20cab8, 0x76770b22, 0x0b10a375, 0xa5f829e6, 0x6795b354, 0xef1758fb, 0x4638e127, 0xc20b00ce,
+    0x83c28ba4, 0x8e4d9487, 0xe07afbaa, 0xf95851c2, 0xf9dc6918, 0x3a18556f, 0x23d4f0e8, 0xd1f2b41b,
+    0x32d8a211, 0x18060d1d, 0xfe0b3f5e, 0x88ccf0c3, 0x38fa6c33, 0x7ec48a4e, 0x624e0b6c, 0x887929f9,
+    0x47c938fb, 0x476546b0, 0x50ff1bd1, 0xd1a54a9c, 0x7268d6b2, 0x567f40ee, 0x9d1f4730, 0xfacef174,
+    0xc00cb5e2, 0x8ee004d5, 0x1419409b, 0x2b662988, 0xba9d326e, 0x8dd230ef, 0x0a7cd786, 0x7371045d,
+    0x2443514f, 0x14af3020, 0xfe29a8b8, 0x331dbf1b, 0xe9904db3, 0x47b8f1f8, 0x56047871, 0x0036d31d,
+    0x51daf1dd, 0x6aaa736a, 0x7736aab3, 0xcb83b869, 0x2cf11255, 0xe612dbba, 0x611333a4, 0x115ca7bd,
+    0xfe68b08e, 0xae610ada, 0xdaa7c483, 0xda71c430, 0x52989053, 0x78efb8e1, 0xfcf4d833, 0x115fd46f,
+    0x6081c328, 0xb2a55fd3, 0x0ca7d296, 0xda8290de, 0x782d499a, 0x07eacdf1, 0x66325fac, 0x35bc810b,
+    0x69c9f43b, 0x0d65e219, 0xb0ad5617, 0xe9f7d387, 0x12dea49d, 0x6952edfc, 0xfeef76ba, 0x5ee1f654,
+    0x5c61c0b3, 0x497b1a35, 0x6ddcf004, 0xe0e83542, 0x5dcff13e, 0x7fd163c6, 0x7121c5df, 0x61568ab2,
+    0xa5d1c674, 0x34fc855e, 0xda1b6ea4, 0xd4805021, 0x0fca3492, 0xc330506f, 0xf39d7d25, 0x9735a526,
+    0x28c31028, 0x05d4e2e2, 0x26c1530b, 0xd0abebf7, 0xdbc84e19, 0xd4a447c6, 0xbe75d1d0, 0xf1024525,
+    0xed2f9515, 0x9d54369a, 0x3cc683a3, 0x1cff2faa, 0x8fcee543, 0x7eb60271, 0x82b9476c, 0x3c6c1bb1,
+    0xfe5b142d, 0xd4ca7bf1, 0xda6227d0, 0xdcc42ba2, 0x11071793, 0x7b63d778, 0x18b00757, 0x62d35c8a,
+    0x70774f55, 0xbe8cf0d3, 0x957b8ab9, 0xa4d96695, 0xa5883c9f, 0x3a669dcd, 0x7c4c75f3, 0xfa534ea3,
+    0x7883b551, 0xc2177e39, 0x126325d9, 0x0debf01b, 0x1f754c43, 0x7780f96b, 0x554b5132, 0x5f83a77a,
+    0x42c9b23d, 0x3fe7f02d, 0x8ed01afb, 0x753a7a25, 0xe34b5d46, 0xad4d56a9, 0x8c2c196c, 0xd2d2cf20,
+    0xc417def6, 0x705ec158, 0x744264f7, 0x2901eea4, 0x777da479, 0x53eea51a, 0x396edfdc, 0xd32364bd,
+    0x26e54691, 0xfc4ac7db, 0x15070b8b, 0xee9e8b0a, 0x742ba934, 0xe0031ce6, 0x542edc98, 0xcdf4afa2,
+    0x264f5211, 0x29a2d5dd, 0xd3bc6342, 0xe753843e, 0x99985bde, 0x6fe77c3a, 0x2cd9e22e, 0x53e566ca,
+    0x83e0d05a, 0x007724e4, 0x3c6fcb6e, 0x9cebdc7d, 0x4023c751, 0x94b66583, 0x9c935930, 0x2be8250c,
+    0xcde26660, 0x85ecfa58, 0x3262725b, 0x263d3502, 0xf6cbc777, 0x66ffed99, 0x6ba8a7b2, 0xb740c05a,
+    0xb51cca0a, 0x1e773c89, 0x3e16abc5, 0xbab4bd50, 0x0fc787f3, 0x51509f8e, 0x6a4472ae, 0xde127d5e,
+    0x358618b0, 0x053fd049, 0x26e6301b, 0x4ab26163, 0x470a4d43, 0x13b8f9ab, 0x88ab6ba1, 0x9f2b8b85,
+    0x66f2c4b6, 0x8796744c, 0x5bdad4a7, 0xa06ed03a, 0x9bfcce26, 0x0153df1e, 0x200d5ef0, 0x1dd38ee9,
+    0xe66c7443, 0x22d54e65, 0x0415f147, 0xe63ce81f, 0x2cebbea6, 0x7cce40f5, 0x25fd1b1f, 0x956ccaae,
+    0x1c76b3a7, 0x2338e52b, 0xd562801a, 0x81115e4e, 0x1e76fd75, 0x95631b65, 0x9abc66e8, 0x19aa0d31,
+    0x5dd950a4, 0xe4d66f4a, 0xb2b3fbd3, 0x88e36d54, 0x2a67dda5, 0x3abfef04, 0x9883a7d7, 0x6df1c857,
+    0x5b77bead, 0xba68c058, 0xa1d837ac, 0x8469a73b, 0xadf3d326, 0xe2dceb49, 0x6c01ad7d, 0x5a4848cb,
+    0xce579826, 0x5d61a515, 0xf16a5112, 0x857f40b1, 0x1788263d, 0xba3d53c1, 0xb74268b6, 0x94ab1556,
+    0xd8c90c90, 0x2d1a7b73, 0x29954925, 0x02507034, 0x76a8a9d8, 0x5d1398f3, 0xeb0e1bc6, 0xfddd9634,
+    0x2426deda, 0xdaa29600, 0xc6bdd1d4, 0x0954c97e, 0xeb62e27a, 0x95091c73, 0x5822e3ec, 0x957101c1,
+    0x4f459aee, 0xa9e06972, 0x8e53fda5, 0xcc2b2a3f, 0x84b7b8c8, 0x8bdd37d0, 0xe390e963, 0xf1a21874,
+    0x594b9255, 0x156a20f0, 0xf2df2f9e, 0x3cc98c91, 0x0433e0e5, 0x5c3da79e, 0x2b4fce64, 0xa8cf1a04,
+    0xf2ad8420, 0xd516277f, 0x34cf0bcc, 0x7228ed86, 0xd5e7c01c, 0x7ae86bed, 0xdf2ed983, 0x6fafbc70,
+    0x428db72b, 0x96a1164c, 0x97f65789, 0xbb29ec35, 0xb5fce298, 0xc515c18c, 0xabd49901, 0x4e03d3c0,
+    0x62c09e92, 0xaa546ea7, 0x61431538, 0x02b0a0e9, 0x4f2beb6d, 0x76d140b0, 0x24a4a881, 0x5017831c,
+    0xc6fac944, 0x72d7e361, 0x0ff3dc91, 0x81d5d9ac, 0x6697c389, 0x6b63a66c, 0xccab133f, 0x72204f18,
+    0xb4c18ccc, 0x564bc93d, 0xdd59acd2, 0x15182cb5, 0x8f61169b, 0x66a395ef, 0x9d6e323f, 0x5ac46442,
+    0x881b8548, 0x00853a8c, 0x50df701b, 0x877672a9, 0xfe912eb1, 0x2a5ded7c, 0xab28cd7a, 0xf20946f8,
+    0x278290cb, 0x4041ac8e, 0x1d4f9599, 0x362b425b, 0x6ab43ccb, 0x2d76ef4d, 0x529ee031, 0x2a0c8da1,
+    0x0151d7ce, 0x91910d76, 0x16479e8f, 0x4d5c96bc, 0x8212c15c, 0xe7c20faf, 0x306cfdab, 0xd924bc35,
+    0xb6dc246f, 0x91183851, 0x6cc04da5, 0x37680428, 0xa7c5130e, 0x8b1855d7, 0x9a2a6fa2, 0xca59f2ac,
+    0xd238c33c, 0xf8f30181, 0x661623f8, 0xbff34e47, 0xc2b19f8f, 0x78b40c7d, 0x4113a9e7, 0x79d7c072,
+    0x9fbaebbb, 0x241c295c, 0xf08f6e9a, 0x944cb9f8, 0xd27ac424, 0xf659a0be, 0xeed39f58, 0x5f7b1f19,
+    0x96b40a37, 0x7d3e197a, 0x8d2a29be, 0xac130340, 0x69c7317f, 0xe7487b98, 0x9478df12, 0x57c51ea1,
+    0xc48f5224, 0x62b12277, 0x16abad22, 0xa2aa3474, 0xae89bf81, 0x5707e3ec, 0x8d2045f7, 0x5a205834,
+    0x772ded21, 0xc2362ac4, 0x9dac5f7d, 0x0e269b53, 0x62b0cb4c, 0x69d3bc7a, 0xd841f3b9, 0x1f68a693,
+    0x129ae05e, 0x744bf277, 0x54f442ec, 0x57f5140f, 0x969d14ca, 0x353ae7c9, 0x400df6b4, 0x45c73aa5,
+    0x631a7f79, 0xfb60dbd7, 0xba65b067, 0xc4e5c773, 0x0f80c0d6, 0x145ba8c3, 0xa5e766e6, 0x3250ff64,
+    0xed43ef59, 0xa5a957af, 0xf1c0be29, 0x5ce72669, 0x53a3b7fc, 0x2aa7196c, 0x8e432aaf, 0xc1e058d6,
+    0xf77acade, 0x7084b1d0, 0xeedb12fb, 0x87f1925d, 0xde77b280, 0x5fa42f7c, 0xaef3a984, 0x4504a39e,
+    0xd2d3d827, 0x355b8d52, 0x0623c824, 0xf3bccf7c, 0x76b2a999, 0x211777ac, 0x9e3da326, 0xd465c788,
+    0xa2ded2d9, 0x6811f40b, 0xebe18eef, 0xe577e231, 0x267fa7c0, 0xa11f7e02, 0x4cc4af46, 0xe6f4e162,
+    0xb027fe7b, 0x0cbe16a8, 0xd15b870c, 0x8060bd9d, 0x27ff3be1, 0x8c7e3ff4, 0x5aee938d, 0x3effb1f4,
+    0x83f2e099, 0x9f7bdce0, 0x1f4c13d7, 0x6ff9e1af, 0x8f6ba2f5, 0x8fc3932c, 0xf4d3fda7, 0x06e52fa8,
+    0x77efec75, 0x2fc9d896, 0x1b720d7c, 0x120114d5, 0x94fd0b30, 0xb3bedbdd, 0xb47560a2, 0x9102885a,
+    0x0fb8810d, 0x22eae2bc, 0x26f6f1f9, 0xa1cfdd44, 0xc2337890, 0xeea398a8, 0xdec9ea69, 0xc399f546,
+    0x5b0f1cab, 0x2e3fd0c5, 0xa378f3de, 0x159c7dc0, 0x16e59c10, 0x0a7872f5, 0x7db11c75, 0x0fe011d8,
+    0x859b1476, 0x8d4b6165, 0x8bc85832, 0xc9d67a79, 0x437a6bad, 0xcd384589, 0x22d83c67, 0xc5844bbc,
+    0x6d276948, 0xdb94e303, 0xbea8df62, 0xe5a24dae, 0x543793f2, 0x11328ef2, 0x6d04087b, 0xa827fd00,
+    0x9b5b9452, 0x4397b2bc, 0x397c744e, 0xba3d1925, 0xd5bd6050, 0x31e403d3, 0x9f402a0f, 0x0b931860,
+    0x31f48662, 0x436eae26, 0x53281ac1, 0x95a73e89, 0xcd557004, 0x40006130, 0xbe2c12f5, 0x5e04405c,
+    0x596bc082, 0x8730b605, 0xd052e1c8, 0xc49e4f9d, 0xc6594db4, 0x5d751345, 0xe41bb45b, 0x1320d124,
+    0x78dfffc3, 0x85d16deb, 0x8f3fa154, 0x8e277472, 0x771ae7ec, 0x40bdb40f, 0x47979a88, 0x76c3f822,
+    0xb8e1f78f, 0xcafc3124, 0xca078045, 0x78f4f86b, 0xf81a88ae, 0xc2d3031a, 0x76498d16, 0x530b5877,
+    0x1eaf5f55, 0xff126e36, 0x5858c1b7, 0xe384bb77, 0x933fd02e, 0xcbbb56d3, 0xa78e3c44, 0xc84fe7cf,
+    0x9edcd9e2, 0x8d0353fe, 0x2db73a9b, 0x3de43522, 0x7e035777, 0xb24701d2, 0xa0caea04, 0xaf20b2de,
+    0x49133574, 0xa43f7515, 0x33ccfc71, 0xb51d33e7, 0xe0beea9a, 0x6b74f5a7, 0x9648ab28, 0x2400a455,
+    0x7244dcc1, 0xbe1210de, 0xb14ca2ae, 0x3a61192b, 0x0ba8ef70, 0xab875eaa, 0xb0c60316, 0x1041aca9,
+    0xe72ff7d3, 0x32fd504b, 0x272c174d, 0x9e37f2e2, 0xb62c52f3, 0x11cc2b91, 0xc107371d, 0x36cd5037,
+    0x6306ba05, 0xc8618e59, 0xf2c215e5, 0xcbf549af, 0x66297e53, 0x2d66757f, 0xb258c549, 0xd8afaad5,
+    0xdb1e049b, 0x2504cc23, 0x51f70f68, 0xb4d2a32b, 0x477bf221, 0x0608ef5e, 0x95bdd16d, 0x9cccf055,
+    0x16c34ec0, 0x15d960a1, 0x3a8d073a, 0x47f14cee, 0xc5088691, 0xfb4a84af, 0x88ebfb8b, 0x318d5d02,
+    0x9daed85b, 0x10605686, 0x42aa3e32, 0x82f944b9, 0x38a4b2cb, 0xef216d59, 0x51cae4ae, 0x1cad19c7,
+    0x84d00a58, 0x4b3c880e, 0x5138c593, 0x7e2fa5fc, 0x872d067e, 0x78eb53b9, 0xd3bbc76c, 0xf125713b,
+    0x08debdb7, 0x75d007ef, 0x547b93c7, 0x4140515f, 0x0ce65a05, 0x45131988, 0x7554e1cf, 0x1f23854b,
+    0x35ae6cab, 0x0a4f2137, 0x672773cd, 0x282f5655, 0x6efc2c07, 0xb6b70a5f, 0xe82c031c, 0xd11d6748,
+    0x1d27278b, 0x0d08bd7b, 0x39de7928, 0xba1d21f3, 0xf95d15dc, 0x02b905fe, 0x861e809d, 0xc5059383,
+    0xb8ba81c6, 0xdfacd5d0, 0xdd58dc9b, 0x7cb94448, 0x8b20281f, 0x5134b881, 0x19b35723, 0x98e7f9f1,
+    0x516794d3, 0xa4678c55, 0x5868d09b, 0x68f3e03b, 0x2ac4abc0, 0xe03b0d40, 0x14e8e2a8, 0x7c0cd43e,
+    0x2f58cf66, 0x4966ed90, 0x6b9ecca8, 0x15a37802, 0x75939887, 0x56b6a9b5, 0x905f3799, 0x5d3cce20,
+    0xb9875c58, 0xced97a69, 0x09b52262, 0xf1b8a6d5, 0x52d9f80f, 0x789888e4, 0x7eb6b723, 0xb303a037,
+    0x11c4cf05, 0xdd791b19, 0x4feb5850, 0xb416f326, 0x715bd922, 0xb2f73046, 0x29de89ac, 0x880df8bb,
+    0x997568cc, 0x4225c316, 0x17cb1e1e, 0xa15ec9c4, 0xcfdeaa48, 0xc2dec46d, 0x12cbb403, 0xe40568b5,
+    0xc6a6faf1, 0x79bc417d, 0xf1f4851f, 0x683d4bf1, 0x546e54b7, 0x182878a9, 0x835528fb, 0xef04fa87,
+    0x086ae6f0, 0xccf3d287, 0x5a8144c2, 0x7ab85f3d, 0xad7260b1, 0x9eb54dad, 0x405c9785, 0x4820e959,
+    0x6450b2c0, 0x929a9be3, 0xa958f1ef, 0x95399883, 0x534f991d, 0x85a48d17, 0x0b9b6ca1, 0x467cec52,
+    0x0d82f28b, 0xdc49a68f, 0x8d01c337, 0xd6922f26, 0x19c57146, 0xf1033ab9, 0xd3391d0d, 0xdddeafca,
+    0xa9e4cc7c, 0xaf97fd36, 0x3296f69a, 0x70e8fc11, 0xf4efd4a6, 0x362a6469, 0x358ec24b, 0x00245e40,
+    0x266ca3e9, 0x5a0385e2, 0xc98f7f2e, 0x72292be3, 0x1451be37, 0x4bcdcb4a, 0x85625d0b, 0xf197608c,
+    0xc9e83cbf, 0xec154bb5, 0xb63c10cf, 0xfabc612f, 0x3cd7b891, 0xac43af36, 0x074358fb, 0xad05271c,
+    0xd6c0a893, 0x9270b7dc, 0xfce922bc, 0x24ddc140, 0x55cc3d97, 0xfd7e5a66, 0xffeaa89b, 0x142a66e6,
+    0x4a2bc800, 0x690e47c5, 0xdd0fa7d2, 0xa89ccd37, 0x6fc520dd, 0x5ed8d990, 0x2070569d, 0xfb02befd,
+    0x322ca6c9, 0x458a5eca, 0x8f64ad0a, 0xbb916f08, 0x705ddf56, 0xe70cf9d2, 0x3377c69a, 0xfe114aea,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000017592186044416 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56c, 0xb0f6865b,
+    0x00000000,
+    0xbc54eb69, 0xb5869bf8, 0x66587bdf, 0x359c6687, 0xcaedf6a9, 0xcd04bb6a, 0x697a8e6d, 0xcfb67b68,
+    0x4b93eedd, 0x430c0744, 0xb576f33d, 0xbda9d011, 0x604dad63, 0xeb625c17, 0x2f3c602e, 0xc06597b4,
+    0xeddbf0ba, 0x889fa12c, 0x94acad8c, 0x3abfedd0, 0x8acadf25, 0xa335d156, 0x860b12b9, 0x21758d25,
+    0x18886c60, 0x162183d7, 0x8a4c6167, 0xed4e8c61, 0x34389ba4, 0x01368bdb, 0x3c27a626, 0x3704a601,
+    0x72596535, 0x491af7bc, 0x5c200de2, 0x0412703b, 0xa8e751b2, 0xa5f0f08a, 0x7506679b, 0x964a9632,
+    0xb603fcf2, 0xf3d85896, 0xf6ac3b6a, 0xbff99f41, 0xec7f6c59, 0xf2c1b096, 0xe05dddd6, 0x6da35728,
+    0xd03ebb89, 0xd9cb83c7, 0x54b54bee, 0x8da1f9d9, 0x6bc83d0b, 0x9bc0248a, 0x171f6d00, 0x680ddfdc,
+    0x83563dab, 0x2df6f91e, 0xdb1c22e2, 0x2f8906f1, 0xaa5e8f8b, 0x23ddf7ed, 0x2f5cf73a, 0x089f1d65,
+    0x338578a4, 0xa6615f35, 0xff5526c6, 0xdc49bfb4, 0x69c6a9bf, 0xcf6de4f8, 0x950a42e6, 0x541621fe,
+    0xb27ba19a, 0xbb41c090, 0x61eb9043, 0x1d0ee10a, 0x07136d82, 0x1bc95ca7, 0xed792bb2, 0xe0956666,
+    0x1357338a, 0x5b0c40d0, 0xb3d98864, 0x3713dad4, 0x91e84da4, 0xdedf3826, 0x16ed0ffb, 0x9380b65a,
+    0xb1d462f1, 0x8719d64d, 0x8b217903, 0xf90412f8, 0x43e35fbf, 0xf7ac25af, 0x2a4fcd91, 0x109a3d50,
+    0xb5b40559, 0xfd92d835, 0xe01369bf, 0x8c83e6fa, 0x6723b17f, 0x1e49611e, 0x7f292e88, 0x2f16b029,
+    0x21f7dd6c, 0xf5d33682, 0x505fa9b2, 0x1b89d6e7, 0xcc629db8, 0x422d8b30, 0xe8af3dc0, 0xdf79e5ed,
+    0xae016897, 0x01cf4bea, 0xd3d0ba5d, 0x08b262a7, 0x0fab3ee8, 0xa48a23c0, 0x1f4841cb, 0x07d15414,
+    0x24692630, 0xab1f5c6c, 0xd9b867ae, 0x8bf3f648, 0xa5081e61, 0xfd22e59e, 0x6e3c8a82, 0x626a0d9b,
+    0x7d59a258, 0xaf95d1b2, 0xc26c328e, 0xcc92cc5b, 0x0ea3fe05, 0xf2ad3e2e, 0x43d2e6c8, 0xd4a9c3ab,
+    0xe2395d3b, 0xae2770a3, 0x93283e81, 0xe2c809dd, 0xc404f4d0, 0xe151361e, 0x61af1023, 0x86fef312,
+    0x162a8b88, 0xb0a7db1a, 0x49879d2c, 0xe47617a9, 0x49efc537, 0xe9baeb63, 0x3d244f2a, 0xb0a50bde,
+    0x5e414d07, 0xf8072598, 0x4c6054d7, 0x82902f0e, 0xa78d6f58, 0x171e4283, 0x7886221b, 0x498307f4,
+    0xb67c7f47, 0x265fecd9, 0x638b4bc3, 0xa12d5f64, 0xb5b2ec49, 0x77b9c536, 0xa887e45f, 0x5b00a715,
+    0x0b9b04a2, 0x826a6474, 0x36311411, 0x8174bdc6, 0xd9416a8f, 0xf423a1e8, 0xec4c6279, 0x08137c06,
+    0x8ae0b550, 0xb72eb461, 0x67031bed, 0xaeda67bc, 0x86d39e90, 0xf7c25086, 0x6e3aa6c7, 0xe3822547,
+    0xff9cea60, 0x81c8bbc1, 0x9f062333, 0x1c27c442, 0xc6101e6c, 0x629f2d74, 0xca495446, 0x7ca1f658,
+    0xed7e218b, 0xe4be2733, 0x8711eb79, 0x376b6680, 0x3d334a0d, 0x9e48c3f4, 0x77a0c2dd, 0xfb8d103d,
+    0x4b88f058, 0xfcd898df, 0x34dda669, 0x7dd7ed1e, 0x9223f683, 0xc8dbebd4, 0x6775443b, 0x0993ae41,
+    0x56a37e0d, 0x9c1dc58a, 0x265dc716, 0x47dc3eea, 0xb2377346, 0x2db29aeb, 0x7686f8ec, 0xfb49bb71,
+    0x66067a00, 0xe21cf01f, 0xdb5a9680, 0x3019cb75, 0x7508be23, 0x3cd367bc, 0xf9e43001, 0xf9e29cbc,
+    0x223c3964, 0xfc108f36, 0x3553e721, 0x74f91fd2, 0x54a5e59a, 0xf0e1f827, 0x08164c29, 0x867e8d08,
+    0x24305f69, 0x10a4bb58, 0xb0771d2b, 0xfcc14f94, 0x07453259, 0xb3dba7f9, 0x8887c002, 0x0014acfe,
+    0xe5ce57ed, 0x4b7db580, 0xee413b7a, 0x85397a07, 0x13b13e0d, 0x9b74ba94, 0x4997324f, 0x5ef9e327,
+    0xfcc98127, 0x11279f96, 0xecbaf1c5, 0xd1e2315c, 0x6c705df7, 0x0e672c3a, 0xd692ef45, 0xebdaa14a,
+    0x5145eef8, 0x1a46d018, 0x4f0ea685, 0xe71aec96, 0xff764ec6, 0x19b423b6, 0x1e50281c, 0xb9fa9892,
+    0x003c440c, 0xe8055aad, 0x6b81620f, 0xcc237e57, 0x09faf11f, 0xb8545ef9, 0x38e548a2, 0xb63446ff,
+    0x51cbf6cb, 0x06644c0a, 0x15e8c9ce, 0x3d2bd64d, 0x0f540364, 0x4fb1fd8d, 0x794e4797, 0x3aafc006,
+    0x8db09b7c, 0xcc4e82c8, 0x244e6bc3, 0x175119ef, 0x8aeda2cb, 0xa2738ac4, 0xd0ddc232, 0x94fa1af7,
+    0xce04bcfb, 0x86989a78, 0x7a68ddb6, 0x99c1e19f, 0xf8e7ea9c, 0xec07aa2c, 0x8e2b952c, 0x2129ccf1,
+    0x0f2ebff3, 0x421fe7b8, 0x2e85c741, 0x1f825fe0, 0xb9b636fe, 0xe08183d8, 0x48a198e3, 0x167231d8,
+    0x0dc78f56, 0x4a56344f, 0x7f1f3b4b, 0xc6c418db, 0x4a6a6f59, 0x39a7933b, 0xfac2bd99, 0xacaa63fd,
+    0xe1f2b1b6, 0xc801d92f, 0x58dba2ac, 0x666dae9a, 0x269b0168, 0xd102b00c, 0xf7fa4c32, 0xc742addd,
+    0x4eb5ed19, 0xf88461b4, 0x57237fc9, 0x0e06346a, 0x25e779bc, 0x483fb5e7, 0xaae64c08, 0xa5de588d,
+    0xb2fb9fc0, 0x0f5bc4c9, 0x081a74fe, 0x055c1e5c, 0xd56653f3, 0x956fb0ec, 0x7c662d18, 0x26a40b42,
+    0x57f56b14, 0x8d2198bd, 0x971f5043, 0x561590c8, 0x3c6466bd, 0x162803cf, 0x4c911388, 0xf7737d90,
+    0xc369ee97, 0x49b744af, 0x54700d00, 0xb2a3be00, 0xdfb00864, 0x770ec314, 0xdc109fb4, 0x6f139f0c,
+    0xb8c84ab8, 0x698b2734, 0x37ffe950, 0x43709419, 0x61677055, 0x4725d738, 0xb9eb46d6, 0xe8a6b6c1,
+    0x214d3c21, 0x6bfb9f5c, 0x8b20cfd6, 0x8b68e5c2, 0x57943a06, 0x1d7c8b98, 0xa0434f06, 0x9919c2ce,
+    0x423090e3, 0x8a838ab4, 0xe81e36b7, 0x8c49393e, 0xa5023f46, 0x47f78413, 0x329c0892, 0x5cd7c2c2,
+    0xcc358a75, 0xaa69ab00, 0xe11ad151, 0x9f475f15, 0xe1ec3577, 0xfe80217c, 0x0f513daa, 0xdfd5b7bb,
+    0xb092e54f, 0xc42b9532, 0x190ad962, 0x2ab2ab53, 0x614fb4d8, 0x1561d378, 0x7a4476ac, 0x25c2b865,
+    0x80eb4c36, 0x6a75cd1f, 0x3e2078b0, 0x1e063559, 0x76302701, 0x038a6f0f, 0xd6d9b592, 0x625ee74d,
+    0x2a749994, 0x038c3316, 0x7e1b7c16, 0xdf714dcb, 0xc8f9b084, 0x1c067f29, 0x5b1a6c6f, 0xad192d0b,
+    0x4e8e095d, 0x77db51fe, 0x770dea1e, 0xea1459e3, 0x4d622da9, 0xf1b9aaf3, 0xc6e090d6, 0xc08763cd,
+    0xedc66d6a, 0x5cc315c3, 0x97084c67, 0x967a5ae3, 0xa5e6b28b, 0x309dca6b, 0xdde4b6bc, 0x017b0905,
+    0x1b4b0140, 0x6b3e5a4a, 0x4399ed0e, 0xf79eea83, 0xfc998745, 0xfe72f13b, 0x7d5ff6c8, 0xa958051b,
+    0x2a49f1e8, 0xcd92955a, 0x134ef116, 0x88ddaaaf, 0x9ee6bbec, 0x8208d613, 0xf4ec8475, 0x280255d0,
+    0xe93da946, 0xf4896188, 0xcb350309, 0x0baeea79, 0xd1141ab8, 0x77877a73, 0x952f3956, 0x5d720abf,
+    0x508db881, 0x4b90e464, 0x7684b0ea, 0x6a7aeca9, 0x0de18613, 0x8b6f598a, 0xfbc553e7, 0x3965627d,
+    0xb8cdcaf8, 0xa68c2bac, 0xc521f86a, 0x46db67aa, 0xc845a136, 0xe440c061, 0x465adad7, 0xe6a34230,
+    0x957d01d7, 0x50fce6a3, 0xed707917, 0x215f5b94, 0x675d1859, 0xf3b04ea0, 0x1f94703f, 0x6735f438,
+    0xb77c5bb3, 0x013c0fba, 0xd4505cb1, 0x1193b938, 0x0fc3b4a6, 0x3fd3805f, 0xf74d382f, 0x54d583c0,
+    0xe4eb1e89, 0x992b62b6, 0x757a6c09, 0x03d2ba6a, 0xf0f269ba, 0x4700df45, 0x60653c4b, 0xc121aff4,
+    0x24617fa0, 0x10b37fea, 0x1c810e92, 0x2fc5b72b, 0x06318564, 0xdde9a8af, 0xca8033ac, 0xc399cbef,
+    0x3b577d88, 0xf68320a9, 0x213b943b, 0x9d982c75, 0xb647c776, 0xd3f0c1ce, 0xd9a0c425, 0x8441208f,
+    0x6c746ade, 0xf0461870, 0x7e2bdb1c, 0x8ac13752, 0x04a8857c, 0x8b104fbe, 0xfde56e71, 0xce34e849,
+    0x76cafecc, 0x95601adf, 0x3ecad239, 0x4f371209, 0x4d25bdfd, 0xd08c7d38, 0xfb7acda6, 0x9f47a11f,
+    0x3490cf80, 0x13e4271b, 0xa876020e, 0x2917978b, 0xf50cd9ef, 0xf03ca0c7, 0xf8e3ce8e, 0x0dcf4b40,
+    0x4e88d288, 0xadedeeab, 0x37e93b95, 0xe8b7ff1f, 0x01a9ec37, 0xc8988efa, 0x68d7f6f1, 0x34cbf49d,
+    0xf05e9923, 0x0cc6a790, 0x0af740e7, 0xdc564705, 0xe69ec09e, 0xc08f8f77, 0x6afa7575, 0xeb737c7f,
+    0x14a52408, 0x8cd06681, 0xe8a174fd, 0x94f857e3, 0xeb512b89, 0x01700caf, 0xde18dd6b, 0x7920cdb9,
+    0x8a491677, 0xec974191, 0xe8184171, 0xa9577115, 0xf55e3e08, 0xa90a61de, 0x2a18c222, 0x69ae1b5b,
+    0xfb44e68d, 0x1a49ed36, 0x55fee48d, 0x031c07d4, 0x2673698a, 0x3f4fc0bd, 0x23bc7943, 0xfa993c48,
+    0x36210620, 0x4c9e3504, 0x171e67fe, 0x609e889f, 0xe769160e, 0x9dced577, 0x19358737, 0xa79c9689,
+    0x0b30b3be, 0x372204f1, 0xf0211ce0, 0x6ea9b7f5, 0xdd725e8c, 0x9951c9e2, 0xd1a2b6ad, 0x68cea519,
+    0x081a9062, 0x961fb1c3, 0x330baa93, 0x07a29e5e, 0xcd06fc08, 0x769d96bc, 0xb96a8e38, 0xec8b0904,
+    0x599ca695, 0x0c0e8bd5, 0xfc7e3d55, 0x70c8669f, 0x551ee7a2, 0x8f8588d7, 0x3729f5c9, 0xd770fa48,
+    0x743abf10, 0x4a8cbdf0, 0x3840f415, 0xc948cbcb, 0x153c100c, 0x2d672c05, 0xdccc8800, 0xf819dbb4,
+    0x514cfef9, 0xf4c423cf, 0xdfe88f05, 0x988d7909, 0xb5e20f04, 0x00520d89, 0x01f8c367, 0xb9a7dc6f,
+    0xf3730346, 0x9f7a3117, 0x9537e662, 0x006b360b, 0x49a7cdb3, 0x99e7b437, 0x824eeb73, 0xe59923da,
+    0xc80f6962, 0xa140904b, 0x0f1bdb24, 0x17328389, 0x139f24c0, 0x2f1ad041, 0xeddba880, 0x3ba3c405,
+    0x4fe2db10, 0x4e8cbc64, 0x152d477a, 0x4c459639, 0x769078d0, 0xfe488109, 0x182b5acd, 0x65430dca,
+    0x78e1b4e0, 0xf427d1bf, 0x8b1f7bd0, 0xfe169fe4, 0x8069bb5b, 0x195c8b91, 0x267a2561, 0xa915cd39,
+    0x9171344c, 0xc731e6b2, 0x2b620465, 0xe95500fc, 0x03b67197, 0x05abacee, 0xf95fcdb5, 0x0db25d52,
+    0x3131bf56, 0xa0a8d499, 0x88f61e3c, 0xc4a4a9c2, 0x79589f26, 0xe3a303d0, 0x271bb920, 0x60b0bed8,
+    0xc2d4704b, 0x259b36ee, 0x8559ca2e, 0x2ae46ae1, 0x716adbef, 0x03884734, 0xb6593b41, 0xac5109ab,
+    0xd9b57cf9, 0xb1a3dcc1, 0x33aa281a, 0xebc95113, 0x10a50bc3, 0xa1b51f12, 0xbfbfcb3b, 0x69e1d488,
+    0x9f0bf80b, 0x76334c39, 0x1e83ddaf, 0xa886285c, 0xd0156c4f, 0xab821b97, 0xe27d24e6, 0x0784b979,
+    0x32e9ef7f, 0xa48117bb, 0x577645fa, 0x3e331c0d, 0x922cf409, 0x30543073, 0x8146be26, 0xf453d241,
+    0x6f1b80de, 0x5053d2f2, 0x314decaf, 0xcc4af8f5, 0x7c79467d, 0xf797431e, 0x43f7a51f, 0x3470f3a2,
+    0xcb433d0a, 0xc58e0c60, 0x0686fb81, 0xbd93b0c5, 0x93f9c33f, 0x75631bf0, 0xa990ee00, 0xc88a3341,
+    0x9eb942e8, 0x1136d6fb, 0xe82f4a5f, 0x4c4c2966, 0x48948aa4, 0x23131f82, 0x645dd322, 0xbcecb713,
+    0x6b7b17f3, 0x7eb8394a, 0xff12645a, 0x28fd78ef, 0x9ccef282, 0xb018bba2, 0xd3e1aad6, 0xf0cca39e,
+    0xf102333b, 0x80c62edc, 0x17d1c46d, 0x4bf6a5e6, 0x624a3052, 0x9c99729f, 0xa586b3e2, 0x8ca1020e,
+    0x59dac1fa, 0x5f79f945, 0xf1be2487, 0x3d05a342, 0x80ed7569, 0x728f0dcd, 0x5281831e, 0x42da6076,
+    0xf42c49d1, 0x59d8cde0, 0x7df47eba, 0xe1614cb1, 0x6f5c8284, 0x550e8e6a, 0x6af94d17, 0x7a15451d,
+    0x943563b5, 0x499f362e, 0x2af60a74, 0xc5b9c329, 0x52d1d9e5, 0xaaf94d88, 0x8047de68, 0x5cb7b337,
+    0x7d954b9b, 0x6362dcfa, 0xf0f68ac4, 0x5d79391c, 0x76310d47, 0xedef6129, 0xf78643bf, 0xc54e100e,
+    0xfb0c57db, 0x2de3f853, 0x5f33f362, 0x729c0b35, 0xbfc661c3, 0xa2decf0d, 0xa3480901, 0x589c2822,
+    0x511ba468, 0x2e891646, 0x22cd948e, 0x58d92f6a, 0x8b0b5976, 0x1ec4765c, 0x9d5a4a40, 0xec447006,
+    0xef43eb2f, 0x78f99702, 0xf4ae92b2, 0x66d96895, 0x4a336907, 0xd9057e76, 0x240e1157, 0xce8c6660,
+    0xb2dd01cc, 0xe733ca7a, 0x9bbb0338, 0x58cb42d3, 0x8ac2a136, 0x47eb1005, 0xd1e9a019, 0x8d57f156,
+    0xdcf19683, 0xc8061364, 0x31b738eb, 0x87985917, 0x82e6522e, 0x8becbf95, 0xa45d6393, 0x2d6f3a28,
+    0xf641d6fd, 0x7713cca4, 0xae6809d5, 0xe12d2961, 0xa22020e8, 0x4170ed5d, 0xbeb2293e, 0x955e0f37,
+    0xb2a3e636, 0xadaa2813, 0x1ba9584a, 0xb2bc26ee, 0x890ec3a9, 0x565a83b3, 0x4c8a302c, 0xdefec258,
+    0x5472ccca, 0x078e5901, 0x788f176e, 0xcd550210, 0x336937f6, 0xba1f5e8f, 0xc7e43c32, 0x5d36f7bc,
+    0xbe2683b4, 0x59f1afc9, 0x95bb305b, 0xd4bd024c, 0x714e3b27, 0xcf9a1be4, 0xc370d079, 0x877216b3,
+    0xa685b822, 0x546cad67, 0xdc57211d, 0x23e667f5, 0xa5b3a82c, 0x8ed8c330, 0xa113889a, 0x0725f946,
+    0xce34a23f, 0xc7391c19, 0x29ae2be0, 0x87348c10, 0xa190ffa9, 0x762e8fb1, 0xacf41265, 0x01c7892c,
+    0x30e3cc2a, 0xe5dc6863, 0x58c87e33, 0x90b32b7a, 0x76c353dc, 0x766b2397, 0x6d456126, 0xdbaba08c,
+    0xd5a1504f, 0x6ac58b58, 0x011fde4b, 0x3c3134e8, 0xf4f81087, 0xba3e2087, 0xee189879, 0x912a1668,
+    0xd55313bc, 0x710e8407, 0x43b95701, 0x47c482e2, 0xfc80682f, 0xbf24ac25, 0x3fc8292c, 0x25ef5aa7,
+    0xcb9f019e, 0x321fc128, 0xead97e70, 0x2cbd406c, 0x2cca839d, 0xddeafec0, 0x00b9cc14, 0x6655f44e,
+    0x2b3964e0, 0x0bb40e67, 0xfb03b440, 0x0f6c95eb, 0x8ccbc80c, 0x5523ff5e, 0x5ea04dba, 0xe2a6e87f,
+    0x0e1698b3, 0xfe1aa70d, 0x0d73051d, 0x110a1f92, 0x4ed1bbef, 0x602774bd, 0x915110ed, 0xe0b82f99,
+    0xc30d00dc, 0x0527ce7e, 0xb7397dd2, 0xa73259d9, 0x304781bc, 0xd3de7367, 0xf0b6bbce, 0x509ea63a,
+    0xbee63b7a, 0x0b12c474, 0x1156f5f3, 0x8e3feb0a, 0x10433b3d, 0x103f76e1, 0x143616f8, 0x5b3d2349,
+    0x5dff91e9, 0x8e9f83c1, 0x75378ba5, 0x6c0eec02, 0x9c7a69b0, 0xf1c3ae3e, 0x76a480f4, 0xc799f406,
+    0xad19441c, 0xadb0091d, 0xe5c0fec0, 0x4527f129, 0xd908023f, 0x6516b5a5, 0x2dc0c8fb, 0x6c227363,
+    0x7bfc6457, 0xef1fa330, 0xb8772722, 0xe303f725, 0xa98eaf29, 0x32da789d, 0x22e56b53, 0x2cf71dae,
+    0xe94d9bd6, 0x89926122, 0xaa45f8b6, 0x33ad519d, 0xd4186775, 0x5ea2511b, 0x69282087, 0xadc28c71,
+    0x33607720, 0x6dd61c24, 0x0f2ec02a, 0xb5ac1ae9, 0xf90b7948, 0xdd3338bc, 0x2a151543, 0x5f847c6a,
+    0x4c5820c8, 0xdd7d73e3, 0x1f00d486, 0x78aa8fff, 0xcd930f13, 0xe4ec0e42, 0xb5e9078d, 0xa951901a,
+    0x720676d7, 0xbf578498, 0x09cb35ac, 0x3e9fb994, 0xe13a862d, 0xd56671a9, 0x3f916d1a, 0xd36a66ec,
+    0x492e0ea9, 0xe9870486, 0x9318463a, 0x9b0b2d05, 0x3789aa0b, 0x6cb7298e, 0xc171c461, 0xdba8fddd,
+    0x996dbf7a, 0x7eb81bf5, 0x4cb4f262, 0x18897944, 0x49c1efee, 0xa1183b00, 0x10f96c7a, 0xf29f30c6,
+    0xee30b9e0, 0x3500018a, 0xb8d93f99, 0xbaae4983, 0xb5a86bd3, 0x6cba887e, 0x596f1a30, 0x23807d50,
+    0x90918215, 0xaed14e94, 0x414b4b0c, 0xd2c97227, 0xe935570c, 0x62b4a1ca, 0xea01c4af, 0x1f22894e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000008796093022208 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b6, 0x587b432d,
+    0x00000000,
+    0x9b43368d, 0x6c45ea2f, 0xa0bb7104, 0xfec4d1e2, 0x62c44c2d, 0xb5091026, 0x59282af2, 0x0409154e,
+    0xf4749139, 0x5c35259a, 0xddfe369e, 0xc38abec1, 0x45da1acd, 0x87cf5b0c, 0x9b3bb8fa, 0x36fdd026,
+    0xcf79002b, 0x25c9e6e8, 0xbbf55aa9, 0x53413816, 0xf6b16088, 0xe1bfbbc3, 0xdc419ec3, 0x42ed93c6,
+    0x48e775f8, 0x2c694633, 0x56e78e59, 0x434050ec, 0xccb2eae4, 0xc9a3e05e, 0xc9940ea4, 0x4e8876ae,
+    0xcfc8a485, 0xad5c0fc8, 0xc228bc4b, 0x3960f9a4, 0x9ea14eda, 0x8e4a39f0, 0xf81e2066, 0x232424c8,
+    0xd57e116c, 0x589cc75c, 0x71d77127, 0x0328f331, 0x8b84ac13, 0xe31a01b4, 0xc3f36fca, 0x95f26eec,
+    0x6de5721f, 0x1dbf52da, 0x56022aa9, 0xbe8cb78f, 0xcb63a962, 0x1bc7caba, 0xc9322930, 0x2549cccc,
+    0xfe224290, 0xa18f722b, 0x2f76b6c9, 0xf93d6c99, 0x078f446e, 0x78046bfd, 0x135d11d8, 0x4ad18013,
+    0x0354913b, 0xb32d6418, 0xe1a784bd, 0x022b0156, 0xd2e02ec8, 0x54ac9897, 0xca6aa530, 0xd24fbfb3,
+    0xcb169534, 0xc33bf2de, 0x36d2f7dd, 0x06982982, 0x351baaa9, 0x31660192, 0x31703416, 0xae2327c8,
+    0xd1027b0b, 0xb6d0d9fa, 0xa67ad0ed, 0x5096642d, 0xd7d3cbf4, 0x16aaa4a0, 0xd309a558, 0xed41959b,
+    0xdb1aac49, 0x70cb2fab, 0x7d4bc0d9, 0x9c805894, 0xeacc89d3, 0x2ea7ecd7, 0xee4e61b5, 0x4e8652dd,
+    0xad152685, 0x0c3c18c8, 0x267bc00a, 0x818fec02, 0xa6430a69, 0xbc18bf4a, 0x328c45f4, 0x3b6c9930,
+    0x27e54db1, 0xc700336a, 0x3c451dab, 0x1ec1c70c, 0x5dee0f7e, 0x18a64fd9, 0xa9451aa5, 0x65a2431c,
+    0x6ee37111, 0x657bbd14, 0xcf9c5237, 0xcf87bebd, 0xf978a303, 0x41f70d08, 0xf714224c, 0x6ade0548,
+    0xaae96dd2, 0xad8a2663, 0xddb08ed1, 0xcf1173e2, 0x3e15d1b4, 0xff513cd3, 0x76b723d2, 0xe518b909,
+    0xe224622f, 0xbc61d08e, 0x2e0ff446, 0x5d62f50e, 0x4088a8a6, 0xbbd93cb5, 0xb0a0d39a, 0xb6f17053,
+    0x2b6ec467, 0x67aea72e, 0x598c3abe, 0xdba91d9d, 0x440f9c19, 0xada23673, 0xd72c6e42, 0x757f6fa8,
+    0xb072009b, 0x607bb030, 0xd803239a, 0xf49b1ddf, 0x175af5c0, 0xe1719436, 0xc767bbca, 0x0c987492,
+    0x509d7814, 0xfa6b818a, 0x38975710, 0xd2e83f0b, 0x7085e6fa, 0x3f0b71a9, 0x8848d45e, 0xec8640d9,
+    0xd2f54098, 0x269f15ee, 0x18bd87d0, 0xccfa42cd, 0x167a77a9, 0x8b066156, 0x3435607c, 0x0866aa89,
+    0xa914852c, 0xbaef44f4, 0xf6e9ac05, 0x718d3735, 0x05e06946, 0xbb1d92b5, 0x938cdf4f, 0xc274aa9b,
+    0xaddf848b, 0x2603f242, 0x0e606ba8, 0x8ba6f110, 0x42fcf950, 0xbe2ffdb4, 0x87e97b08, 0x80e5df7f,
+    0x8de88c25, 0x4920bd10, 0x4f5dbd55, 0xe2f6fcd1, 0xa96c683a, 0x13cda321, 0x29212df6, 0xe6f25b37,
+    0x8c3d02a8, 0xa86690f0, 0x8510543e, 0xf338208d, 0xcb3fdc33, 0x71a6b936, 0x5ff6b6f7, 0x085a3e1e,
+    0xded9537d, 0xf98392a4, 0x29102f10, 0x4331f344, 0xf8af8676, 0x8ad7349a, 0x0335a654, 0x16150019,
+    0x3e699d96, 0x1cc069d6, 0xa83a04a8, 0x194bc001, 0x86577041, 0x2efe7e6c, 0x1479398d, 0xaca02b79,
+    0x7659acd3, 0x065dbd32, 0x0fbd342f, 0x25b89ac6, 0xa9c0c15a, 0xae63d77c, 0xd0c96ac4, 0x8abd4d58,
+    0x87823cfa, 0x063718f2, 0x57caa704, 0xe969b6ac, 0x2ad5d62a, 0xf64fa99e, 0x16391ddd, 0xc29a7fd4,
+    0x987b485b, 0xac170327, 0xd9af85f8, 0x451c7033, 0xaae62fa4, 0x4b97140f, 0x8b22ca59, 0x216cbacd,
+    0x710b5e39, 0x71fa42ac, 0x266ab91f, 0x9f64175e, 0x12764cec, 0x41137539, 0xc3c78316, 0x7e10fd92,
+    0x6a1ad52f, 0xb94812f7, 0xcbe9cf11, 0xd9e43434, 0xceabd164, 0xdaf67cfc, 0x4afdc5a4, 0x114e857f,
+    0xfbec72dd, 0x13e9f506, 0x257bfe74, 0x5eecc846, 0x13c22b2e, 0x5b414929, 0x34ee4037, 0x993dfe6e,
+    0x57ef7dbb, 0x87b9b97c, 0xefec5b10, 0x26a92699, 0x0fa26022, 0x9bd10617, 0x397bcb1a, 0x7cebbb09,
+    0x2c7d23c3, 0x12d9232b, 0xa152e718, 0x9fe07317, 0x45574eb8, 0xc813359a, 0xe806ae41, 0x90bb9e7c,
+    0xf40c6188, 0xb892ddc5, 0x998e314d, 0x6f3fe320, 0x6334c14f, 0x99b969cb, 0x410af59b, 0xbc871bca,
+    0xdb0dbba2, 0xdb7de7ce, 0x1c6a5658, 0x22cbf552, 0x7f81b279, 0xcb8c7429, 0x4cdc9667, 0x1ba040ea,
+    0x7eb924fb, 0xbe2cd69e, 0x54dbdd63, 0xf23ae3e9, 0x73a65682, 0xf5e63f30, 0x1aa8e2d1, 0x96d6a271,
+    0x237a0579, 0x6dd69d5e, 0x93587bb7, 0xe49022f5, 0xffbde26f, 0x51c0e658, 0x56ceed01, 0xb91db423,
+    0xadf254e1, 0x82b7a8b2, 0x625f2de9, 0xa3de1ae9, 0x4d2cfd73, 0x236562da, 0x2194a524, 0xb32caf9f,
+    0xa865058d, 0x73353734, 0x51544daa, 0x44fc3bfd, 0x5966d578, 0xdb3a182a, 0xf04a9fc1, 0x532e1ebc,
+    0x7bb728db, 0x3c791301, 0x35a65c5f, 0x262eba0f, 0xc8bcf59a, 0xfcdf0662, 0x438b5c07, 0xd5f80d53,
+    0xd68cefd3, 0xaac686c2, 0xe9898f0f, 0xa157b09a, 0x0154828a, 0x2a4c3aab, 0x459a1b77, 0xb3b57e61,
+    0x2f93b271, 0x6ad3ab60, 0x3d1dc991, 0x4a084f6c, 0xf0437501, 0x3ee75ee4, 0x5cbc9677, 0xf9f7815a,
+    0x4438394c, 0xb65079d8, 0xe2923dc2, 0x035ab1ab, 0xa42ee8a5, 0x7ade59c7, 0xd2b4b7b5, 0xafac0e71,
+    0x33994261, 0x16f21aa9, 0x31930c77, 0xb121ea24, 0x2b273f44, 0xdf2e63be, 0x229c3792, 0xabc592ae,
+    0xbfe5b945, 0x504e7d78, 0x62466fff, 0xe6ed13c7, 0x64fa8ca6, 0x47ebff38, 0xeb88d2fb, 0x070ca1c2,
+    0xf552c6a2, 0xa76427a9, 0x77a59e6e, 0x9c5a7a07, 0x7fc0f757, 0xda873e6a, 0x90b679f3, 0x9714fa41,
+    0xb79c4e6c, 0xf931590a, 0x000030bf, 0xea268832, 0x5e58be82, 0xa8485d14, 0xe84f135a, 0x09f6956b,
+    0xa52ae9c6, 0x35fb7666, 0xc31cca74, 0xab7e4e21, 0xfae2039e, 0x85c10d6c, 0xb55d7a9f, 0x9a1a8007,
+    0xf3ff2c87, 0x964afd62, 0x1f1a7722, 0x4fb9e436, 0xec893680, 0xc31d33a7, 0xb98a4ea0, 0x8a6a75c2,
+    0x8c411e43, 0xdb58beb0, 0x5111f9f6, 0x3bf41c88, 0xf31e5c97, 0xd23e36ab, 0xd374cc9b, 0x508db1a0,
+    0x4f555a33, 0x77dd9e5a, 0x860081bc, 0x5766bb31, 0x90adde90, 0xc61c961e, 0x3ccb97b2, 0x429008fe,
+    0xff74fe34, 0x9f15bc48, 0x90cbfab1, 0x8d41afb7, 0xde2b8c84, 0x722ce26d, 0x7b01c6f0, 0xdcbbbb20,
+    0x82f89ce9, 0xecee8451, 0x994e213f, 0xb6a2d938, 0x74f4bbe4, 0xc884a516, 0xfe1a2240, 0x120361e4,
+    0x9cd95f86, 0xc28a9276, 0x33da84d3, 0x8132f29b, 0xc39505f8, 0x7339d8d3, 0xe52c9359, 0x5c4937d3,
+    0x7cf83605, 0x6505864b, 0x43204298, 0xff12dbec, 0x05d91377, 0x0297432f, 0x63f45616, 0x111825f4,
+    0x26fdf50d, 0xdeb0f958, 0xf74afea5, 0xc5ba1044, 0x8c47e14d, 0x83183503, 0x28fb6035, 0x45c1d2c3,
+    0xd226420f, 0xac1ecb0e, 0x7e2a6d22, 0x47185113, 0xb1aad7aa, 0x98dce993, 0x8b63cdc2, 0xae7a9f09,
+    0xba31ad90, 0xc9c5001b, 0x89f29faa, 0x7ab8ad1b, 0xb5602878, 0x9c3f3599, 0xf71004c2, 0xdc31c8b0,
+    0xe3e2547e, 0xa0e74f05, 0xbeef3305, 0x6ac8b6d1, 0x8f5d3646, 0xba5f86bf, 0x1b22fdaa, 0x0db09961,
+    0x8ab1a85a, 0x51ece5a1, 0xa24783b9, 0x69bf4237, 0xa57a4c2f, 0x971723b2, 0xd3a5af46, 0x2a1f30f0,
+    0x0ebd1475, 0xaef853af, 0x71acbf16, 0xa9fb450d, 0x320082ca, 0x14612ea9, 0x40399748, 0x7f6d31a6,
+    0xd1670d8a, 0x29dad372, 0x2a4fc9d0, 0xab728b43, 0x9390aaa2, 0x942e6964, 0xe574ee2b, 0xd2e7c0a0,
+    0x445556d8, 0xdd678339, 0x10c952a1, 0xfde681c0, 0x92ca9a4c, 0x5e286c94, 0x67173910, 0x8520a70d,
+    0xb09a9ae7, 0x09e3cef8, 0x0745ef3a, 0x2ea8e665, 0x92f60cc8, 0x881f89a5, 0xe6791fd6, 0x0f67b639,
+    0xcb20c607, 0xc582e8be, 0x053013ea, 0x6ec0c70b, 0x0f75d755, 0x3a8484af, 0xcd7379c7, 0x80a1c354,
+    0xb66b2d50, 0x9b779ed6, 0xfdfa7d09, 0x8811a65d, 0x9dfb1300, 0x3eec12dd, 0x527527f0, 0x85914191,
+    0x5b1fb34d, 0xd306c166, 0x44ea2ac5, 0xc96b6f4f, 0x27b46ebf, 0x35167ef6, 0x37d58276, 0xe96dc1d6,
+    0x05e29350, 0xcbbbedd6, 0x67f583a2, 0x65cb30b1, 0xbae5a8f8, 0xc58b34bd, 0xd241847c, 0x250469c9,
+    0x60b8bd76, 0xab65d150, 0xc45077ed, 0xc9d43244, 0xffda52ee, 0x4f9ac205, 0xa60d424f, 0xdeeda475,
+    0x57515290, 0x2f82ae2b, 0xe684aade, 0x9ff29365, 0x61fb3810, 0xc06db38b, 0x852a8fb2, 0x2e8ea33d,
+    0x4b6644c7, 0xb0b34df7, 0xd1796ba7, 0x50bb3a2a, 0x3c5e4ab8, 0x1c6899b6, 0x71e22e06, 0x5348e6b3,
+    0xed62f005, 0x504b7c24, 0xea1c3c9c, 0xfd7e7111, 0xb7524ece, 0xfc997607, 0xf0155c9d, 0x2e938e33,
+    0xd061762e, 0x332bf0d2, 0x33e69179, 0x733d6542, 0x7da3a0f1, 0xd3a8093f, 0xdb36897d, 0x7fdb383a,
+    0xe6cf81f4, 0x55252cc2, 0x49e027b7, 0x38386a24, 0x5109a3eb, 0x575fd958, 0x35955522, 0x0be40bc8,
+    0x4bde387d, 0x6015d68b, 0xac76f7e3, 0x23d7e95c, 0x217ac73c, 0x81a3369c, 0x00d986bc, 0xf4d15cf3,
+    0xce96ee9a, 0xd1897936, 0x2db4e5e7, 0xa998c24e, 0xed97d270, 0x86997545, 0xfc8780a5, 0x837349f6,
+    0x37943553, 0xcdeaaddf, 0xfacfd554, 0x5cd34976, 0x7c9be5d1, 0x4475b71a, 0xc82018bf, 0x3053f7c1,
+    0xecb03667, 0x1d56425d, 0x07918ef7, 0x3cf2a10d, 0x54365ff2, 0xf48ed1b1, 0x0e3b8910, 0xb3429021,
+    0x0ed7af17, 0x9e866b35, 0xeffca480, 0x8e78de89, 0x3c90da65, 0xaa1125c8, 0xf69d4da1, 0x88e04445,
+    0xc4885b7e, 0x440de10c, 0xf2f8cae9, 0xa5489957, 0x299b76ae, 0xf4a5fcf8, 0xd6bf717d, 0xa26edd97,
+    0x5634f710, 0x88f5df26, 0xd0d4eaf0, 0xed81a93a, 0x6f854de3, 0x7d6fe49c, 0x0126ad45, 0x2af31552,
+    0x284f63dd, 0x812edfd7, 0x556d0ea1, 0x63578a15, 0x81b14375, 0xd94e6050, 0xce9cdbc7, 0xb4893e41,
+    0xd08484c1, 0x2c67fc1e, 0x3d3f023c, 0xa23dae30, 0x6079ab6e, 0x31be3252, 0x8bd0f2de, 0x5cf253e0,
+    0xa5d784ae, 0xf1c44ef2, 0x007ccc86, 0x68f320f7, 0xb86f4d60, 0xdb7a6292, 0xa12ea12f, 0xb568e2be,
+    0x0bf7c13b, 0x5b925963, 0x4d06f97b, 0x4cadf537, 0xdea2242a, 0x80b21930, 0xb20e8991, 0x9a60a175,
+    0xb25533f8, 0x3d361651, 0xd0990936, 0xc9c28545, 0x723c6f5e, 0xd4d50c18, 0x983f18bd, 0x59a9b7d2,
+    0x4727bde8, 0x2406ca4e, 0x5aa321cf, 0xab91fc05, 0x9b5ac08f, 0xcec16eef, 0xc23c2805, 0x20772925,
+    0xa7d96aff, 0x24a8eeef, 0x57b64cc8, 0xcec3afa2, 0xda6bf098, 0xd090e2d8, 0x09b12705, 0x9371e155,
+    0x8289429d, 0x7cc11e12, 0x2de96daf, 0x2261c702, 0x6524184c, 0x01b73572, 0xd5498912, 0xa43303f5,
+    0xfbdbf457, 0x381c0d08, 0x0a96c6c1, 0xe7fb69cb, 0xc504ec27, 0x6e620dc8, 0x53a7ed9b, 0x76305519,
+    0x1c72a300, 0x40d2443f, 0x890c45df, 0x4ba66f9d, 0xa061f5d2, 0x547c89ca, 0x95b44cc6, 0x47975d3f,
+    0xd832539a, 0x3a6d41a3, 0x69f8c1b9, 0x22ce76b2, 0x3518cc80, 0xb8c4390d, 0xb3d33c0d, 0x148729ca,
+    0xf7619dd7, 0xda27978c, 0xffd9a1a4, 0xc8d0bd24, 0xa892f0cc, 0x082e1576, 0xca6d1d20, 0x162d3f09,
+    0xd9bda30d, 0x0c49c104, 0xbfe34818, 0x621721e3, 0x22655b44, 0xa61aedcc, 0xa590297d, 0x4bc6c142,
+    0xd1a85941, 0x75a63607, 0x10ce5ec9, 0x3d427824, 0xfd71dea1, 0x6f4285a5, 0xbd4fd406, 0x1a094155,
+    0xcd6e6a11, 0x61ccc1eb, 0x1994a562, 0xd3e469b0, 0x0ac472bd, 0xfc098e56, 0xaab7eff0, 0x2a45eb77,
+    0xf7fb1e24, 0x30d2afae, 0xa41f811b, 0x28b83bfb, 0x3bddcc5b, 0x5c8dc918, 0xc6bc7bba, 0x72d77d5c,
+    0xc8470294, 0x7b4adf3c, 0x423c2f1e, 0x5b97ea91, 0x0c827965, 0x48f51bdb, 0x4f251163, 0xfcf6fd03,
+    0xf43718aa, 0x5796e271, 0x666c8899, 0x5e9c85c5, 0xc52ad5cc, 0x35c85078, 0xcf65a18f, 0x42f6e0a3,
+    0xba3b6158, 0x08468850, 0xa56fc425, 0x758e6ce6, 0x29e55e3e, 0x42e95c8f, 0x5133ea40, 0x3072d9d8,
+    0xb94f5ea6, 0x92aba8f1, 0x0ad9c3a3, 0x88c7af79, 0x9662d7ae, 0x0deaf8cd, 0xfa9c9c33, 0x7c5d9dfa,
+    0x8fcdfdf7, 0x98f90cc3, 0xd5efa8c2, 0x189cc009, 0x917c9baf, 0x10ebfaf7, 0x4fbb1a61, 0xc0523548,
+    0xe307a369, 0x84a2fd41, 0x1876daee, 0x4169041f, 0x0f2ccbbb, 0xaa36c7c6, 0x5ee38984, 0x9c7bf5ef,
+    0xef48af01, 0x26dadf86, 0x0634e51b, 0x1f1808e1, 0x8d305781, 0x2e4ab9f3, 0x4e412e69, 0x532e3195,
+    0x03365241, 0xe0be5e7f, 0x0b9fe1dd, 0xb32f87d4, 0x2803030d, 0x1efeaa30, 0x2547c99a, 0xa6ce7023,
+    0xb4cd4ee5, 0x32727c04, 0x074144de, 0xcabad9a0, 0x50bc2960, 0x6a96fc7a, 0x107eb93d, 0x8d51a605,
+    0xffe79209, 0xf3e69129, 0xf0576901, 0xccf4d745, 0xff4e5176, 0x0b4f2035, 0x92b9d4ee, 0x3510cc64,
+    0x44a23dfb, 0xe3f24d8f, 0xac67f1e5, 0xdc021f2d, 0x8d0e8743, 0xfc4fd4ec, 0x90db7613, 0x1c521c08,
+    0xce790aa8, 0xdf393948, 0xd6e35ba9, 0xfa7333e1, 0xd646a564, 0x96e418c9, 0xac6efe68, 0x9f027977,
+    0xa382d226, 0x34fedb4e, 0x4faaa2cd, 0xb9b5b1f5, 0xae3b9ab1, 0xdda883e2, 0x8dd43f31, 0x81b31e95,
+    0x260d78ba, 0xc8ce20e5, 0x78d8b426, 0x927faadd, 0xd7917342, 0x7eb0e616, 0x97a213d1, 0xf09e40ae,
+    0x3f04b425, 0x65fc676b, 0x4cef6e5f, 0x04a2f832, 0x429f498d, 0xffd72292, 0x2f851097, 0x93cadba5,
+    0x089885ca, 0xeb48fbe4, 0x9b142e54, 0xf041069c, 0xa2520e62, 0x01589f79, 0x44cf659a, 0x731e2368,
+    0x4a54f79b, 0xc3efd995, 0x89158ca5, 0x7e410c57, 0xce9bc8e2, 0x371d8baa, 0xe35c47eb, 0x956b3858,
+    0xb60a0525, 0xb058109c, 0x379b9114, 0x256590ca, 0x715c7a9d, 0xf5067707, 0xde14520d, 0xb0d6a719,
+    0x5be8f4ec, 0xc8f19512, 0x0f838b74, 0xeb79f07c, 0xf0e13634, 0x468f4334, 0x5ec69a53, 0x8f2a382d,
+    0xbaeab3a2, 0x77e232fa, 0x52c0d8f4, 0x38e31eec, 0x354f56ae, 0xd5808de8, 0xe1e25235, 0x1dc6afac,
+    0x389ed486, 0xf6d3e49a, 0x66913ca0, 0xb17c981a, 0xedfa7d98, 0x4cf4cbe7, 0x7ba2a26d, 0x1dfd1f4c,
+    0x61d6b2d3, 0x23f87592, 0xe6df1c3f, 0x375842c6, 0xb4be6492, 0x5db50858, 0x07f0bc4e, 0xfb6d1942,
+    0xd66057c4, 0x86920b60, 0x479a2bde, 0x69616447, 0x175305f9, 0xac2902c2, 0xf958f8c4, 0x5da5256a,
+    0x73e78422, 0x506525ec, 0x3980ab50, 0xd55f2332, 0x687b9d04, 0xa53ad91f, 0x479fab36, 0x676315d9,
+    0x1a54c048, 0x52a17331, 0xf9939fb9, 0xb993fed0, 0x98fd600f, 0x3df83b58, 0x6eb425e2, 0x2fdc094d,
+    0xd4ee63eb, 0xb0e3d95f, 0xc8188dda, 0xf48bdc82, 0xcdf77d12, 0x11485287, 0x6759cc57, 0x9d4d2284,
+    0x55b111af, 0xe3cff8c2, 0x591fb6c4, 0xe446575b, 0x9c2d0004, 0xcab8aa34, 0xce28e47c, 0xd0f5e27b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000004398046511104 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95b, 0x2c3da196,
+    0x00000000,
+    0x8cf9499f, 0x75ba28ac, 0xdccfe1bd, 0x99af1ff5, 0x7878d439, 0x4e979adb, 0x2c8cffbf, 0x5a2f5fc5,
+    0xb83df607, 0x0199a36f, 0xc40a95c5, 0xbd7edbf2, 0xecd99070, 0x666b4e32, 0xe78196a0, 0x7cd6ff4d,
+    0x420f554b, 0xaef89eda, 0x85592a07, 0x3f4ee50c, 0xbf85c664, 0x8b462fdb, 0x6eb3bf85, 0xdb70b487,
+    0x8d8aa7f1, 0xf8e7adcb, 0xfb0d9d05, 0xe5d0e23e, 0xeef315a6, 0x44973af6, 0xb0b2ede2, 0x7a6ac633,
+    0x20cd95ef, 0x0290c239, 0xef9bb793, 0xdbfd368f, 0x768320ea, 0x77bb0fa0, 0xee2f3cc0, 0x892c5381,
+    0xec67309c, 0x97242622, 0xb8db798f, 0xe31c9e24, 0x3394a52f, 0x263fe273, 0x40592369, 0x7562c77b,
+    0x7c7ab735, 0xeaad8956, 0xf53fca76, 0x07c57c51, 0x5e573a28, 0x59f5b4ca, 0xe11b1e6f, 0x0e818827,
+    0xf79c96e9, 0xe3655d13, 0x8b71a673, 0x54acf01b, 0x456ff5eb, 0xf22dc229, 0x6c540701, 0xf25cac91,
+    0xc9557dea, 0xc08963cc, 0x82276406, 0x49263987, 0x0ead68fe, 0x7f16bdac, 0x531d2d88, 0x2bc1278c,
+    0x4cf8db7c, 0x10f1c966, 0x405a9465, 0x253fccb5, 0x5f689b58, 0x299af262, 0x3bbc6dac, 0xe40a7192,
+    0x74f80d56, 0x990127a8, 0xac8654ca, 0x365703b5, 0x99859dad, 0x6f5bd6a9, 0xc414c85f, 0x017da245,
+    0xc0e9fff0, 0xce2af4b7, 0x3a5d45f4, 0x7c545f1e, 0xfd6ace74, 0xa1295efd, 0x0b003a17, 0x403a69eb,
+    0x39409c88, 0xc8c05f88, 0xe67c55d5, 0xf16bec88, 0x60e1d6b8, 0x1b0c83ae, 0xa9388e01, 0x5c5308f1,
+    0xd972edc0, 0xe09e4287, 0xbd5bee0c, 0x4fb38f5d, 0x9e58594d, 0xb4df3489, 0xfd20029c, 0x1b0ac3d0,
+    0x905bc914, 0x32959812, 0xaebd4c83, 0xe7370f32, 0x15dbb7d1, 0x00368007, 0xcaa2c848, 0x19d346eb,
+    0x007c1260, 0x239f9c59, 0x5ab590e7, 0x8a716fad, 0xcc25e6bb, 0x011d39cd, 0x723226cb, 0x75962ba9,
+    0xdee0c20f, 0x7fa1261f, 0xa477beaa, 0xb99b1089, 0x8a0919af, 0x0ab410a7, 0x78184ac3, 0xb1371e07,
+    0xda0c54db, 0x0000c65c, 0xc20454b4, 0x159fe353, 0x94dc9d89, 0xc83d1b18, 0xf02ec928, 0xc392568a,
+    0x7e47129c, 0x29279534, 0x9879c843, 0xeea3d18f, 0x45a27ea0, 0xd2017585, 0xc09cb628, 0x6329d3d0,
+    0x85ee1fc1, 0x05c159db, 0x621cc7c8, 0xa87755af, 0x6e5d0487, 0x05671e96, 0xe61cde5b, 0x7eff2d0c,
+    0xc2792030, 0xccd5fd3c, 0x8ac91afb, 0xba3918ae, 0xbc07d723, 0xb6939cc4, 0xf69d4306, 0x337be038,
+    0xc3838aa7, 0x4615e39a, 0xa3b2af0e, 0xb5760888, 0x7c81b943, 0x238d4dcd, 0x85c77c6b, 0x7db45f02,
+    0xe4e60ec8, 0xdd5dcadd, 0xe23ad6e2, 0x4226c3b7, 0xc8e6bac0, 0x430861cd, 0x4abfa964, 0x016c8484,
+    0x52ec493b, 0xba312c28, 0xe5863ae1, 0xbac18e2a, 0x4a462dba, 0xcfc06ade, 0x7dd46017, 0xaa5069d5,
+    0x3fa800c2, 0x62561090, 0xd310ec7c, 0x620818a4, 0xf41af24d, 0xf108e715, 0x5f871ef0, 0x25109a15,
+    0xd25d9387, 0x4c1260e0, 0xb03c960d, 0x632c7953, 0x9261ea19, 0xbde33163, 0x4cf1212b, 0xfad3f5a4,
+    0xcca6081b, 0xe169b961, 0x3f09ec9a, 0x689e8cbf, 0xed6d16e9, 0x78376ac1, 0xf99b0514, 0x625d25d2,
+    0xb61ec18c, 0x96ecfa87, 0xf6c99b9b, 0x2231d066, 0xf79708d9, 0x87989bb3, 0xc8faf6b5, 0x9fead94e,
+    0xf7f375da, 0x993d3642, 0x9fee1e2a, 0xef25c0f2, 0x5d692533, 0x5bc7b24e, 0x2d1e5a78, 0x1a0a686e,
+    0x8da5f9d2, 0x48191f5d, 0x54341bae, 0x202f1189, 0x77072ec3, 0x08b3fbe5, 0xf985f2d5, 0xd7c3c25d,
+    0xdf2012c2, 0x7def6173, 0x9178668f, 0x0bbb0354, 0xe86eb950, 0x19cb8cb1, 0x28984f76, 0x76a0c9cd,
+    0x84aaaee5, 0xb46d37ab, 0x7dcf05be, 0xdb33ec67, 0x27c0147f, 0x30d6f7fd, 0x74aeb5a5, 0xd14fb399,
+    0xf8af477f, 0x30781e77, 0x0524c465, 0x8c4af544, 0x8ed29395, 0x0965049f, 0xab74c712, 0x09480e46,
+    0xa729fb19, 0x9930769c, 0x79ea6a3a, 0x73b0d1df, 0x61571bba, 0x8394db16, 0x8f43af6c, 0x6bdf8139,
+    0x774a5c7b, 0x9faafb67, 0xea74c235, 0xd77b7201, 0xa27b5b23, 0xaf69e9a2, 0x7d80434f, 0xd060536f,
+    0x70ca0e10, 0x6ac32a3f, 0x60d60e12, 0x0480a972, 0x96165954, 0xf7bdfeeb, 0xa26d2ecc, 0x7a71d5fb,
+    0x5e702171, 0x3edd2847, 0xba63266f, 0x4af55d7e, 0xfda4ad48, 0x8627256e, 0x796dbbdd, 0x77fd56be,
+    0x3970271a, 0xcac117eb, 0x29771457, 0x0a498e13, 0xd951e29d, 0x2ea72c35, 0xff80d2d8, 0xa367b44b,
+    0xb75320f5, 0x21fe0f75, 0x65bfa081, 0x0d79e0dd, 0xfc5f972c, 0xf0ad33c5, 0x4322ec20, 0x5dbff0aa,
+    0xc1a956dc, 0xefe2f34a, 0x1fa92aa2, 0x722fddf6, 0x27f2ceef, 0x6d0394c4, 0xcccb528b, 0x006837c2,
+    0x617c3bc8, 0x79fbce56, 0x58f5b238, 0xccf7cfcb, 0xed14db69, 0xafbf4762, 0x3505a189, 0x08c2e739,
+    0x94d49794, 0x02fb0f55, 0xcef24268, 0x23cc5f3c, 0x25626a2b, 0xf6a6a1a6, 0x3def5668, 0x707f2caa,
+    0x86a99aa7, 0x02492f3e, 0x5006cc65, 0xec852ddf, 0x1fb08822, 0x205829c3, 0x97f3a94d, 0xea7fcfb8,
+    0x5a4429a7, 0xba1c6645, 0xe947139e, 0xeaa9b6f5, 0xa7affccd, 0x02412de2, 0x74143a46, 0x2be78875,
+    0x64a66683, 0xe3c15f25, 0x8f96525c, 0x970c377b, 0x3044d379, 0xa5b67d7f, 0x4e59e922, 0xc3720f8a,
+    0xa6cffc03, 0x456dcd55, 0x589e2490, 0x10bdca4a, 0x6fb0f960, 0xe441065c, 0x64da231e, 0x20432902,
+    0xd559af4c, 0x9f59e9f0, 0x6cbc98e7, 0xb7b5ac3f, 0x81402de2, 0xe455ee57, 0xe427142e, 0x3105a76b,
+    0xe57f04a3, 0xca7c572f, 0xb134463f, 0x0d86fd63, 0xd860831d, 0x90a6f5f4, 0x068777db, 0x1ca20b92,
+    0x166726e4, 0xa7db04e2, 0xb0b5135d, 0x649f5c3f, 0xf312b5ce, 0x96e4c581, 0xe8e81b80, 0x2764713c,
+    0xe43c7a75, 0x65dc5442, 0xc3e6f4ea, 0xd358d29d, 0x4b5229ba, 0xbfca26be, 0xe4051e28, 0xfe263a59,
+    0xbfc114a7, 0x93a3d6ee, 0x1a45b4d7, 0xde9fd0e8, 0xeba53297, 0xbc1db4b3, 0xebe2b3ab, 0x218cafa8,
+    0x4aa7fc96, 0xc92eb91c, 0xc5a5ee9f, 0x0803557d, 0xe552626f, 0x08aef671, 0x21523742, 0xa25d1f12,
+    0x1bf23ac7, 0x75ab0f5c, 0x0bd14c7a, 0xc2f06a65, 0xebd3fca9, 0xb6d5f0fc, 0xcdad4cbc, 0x55fb9177,
+    0xadde3eb1, 0xd84e1b92, 0x0169a46e, 0xf1897df5, 0x7dd7e655, 0x3dd1d66c, 0x940ee455, 0x50e98ee0,
+    0x9f9afa11, 0xc9f5327a, 0xc38ddf03, 0x8f5756e6, 0x20e9a085, 0x577f73fb, 0x6aa0b2d3, 0xd5f52180,
+    0x2ce51247, 0x818786fc, 0xae192dde, 0x8f36829b, 0x0d4ff112, 0x30ac6969, 0x401e3de6, 0x14dba6db,
+    0xeeab8545, 0x3fb01d73, 0x6920de88, 0xac91d1c0, 0x00f0638c, 0xf43b42c1, 0xc27ea3a7, 0x07b252ab,
+    0xf7329b79, 0x2a2c406e, 0x2d313cd0, 0x22ce6c8f, 0x03602f96, 0x55df309b, 0x54871b7c, 0x8ef8025f,
+    0x56c1fe75, 0xeb411ab3, 0x5a5b017a, 0xd62e0d6c, 0x8194f38b, 0x183feefe, 0x7289d467, 0x856f63e8,
+    0x2d03e5ea, 0x8c669d09, 0x5304ecc9, 0xffd5375c, 0xa94b0e0b, 0x67263754, 0xa0a8161d, 0x5c4e5b29,
+    0x330764d2, 0xd6e3d03e, 0x7f256707, 0x4b16f86c, 0xed8465e0, 0x7160e2e0, 0xb5dd8882, 0xd351b436,
+    0x3d6c8c08, 0x9f210b69, 0xfc0038ba, 0x06bda0d2, 0x1a8068e0, 0x5c0a80a8, 0x1c2f2c48, 0xa5dfe06e,
+    0x8328b079, 0x767b3af5, 0x0410753e, 0xb9a1a915, 0x56897186, 0x1a8ed646, 0x1e550905, 0xbf3d5c2c,
+    0xead6c4ca, 0x693bfc8c, 0xf27272bc, 0x85c3f4b8, 0x0d431ff6, 0x5241d574, 0x2b517ee3, 0xc6502dec,
+    0xc6e54c11, 0x6ef17061, 0xfc380c17, 0x9606d105, 0x7e9074ea, 0x9e3eefd8, 0x02b4c85f, 0x41d1b678,
+    0x529e233a, 0x751f8117, 0x96c78bc2, 0x7fbefa8c, 0x48591b75, 0x255c3029, 0xfa4cddae, 0xbf687a84,
+    0xa2f2916f, 0x13cee2c6, 0x41eed538, 0x29527184, 0x90fdb946, 0xbcf1c62d, 0xf2fa1b2f, 0x9d973f4d,
+    0x554317c4, 0xca92cea0, 0x0412e7a7, 0x300f034a, 0x3369daee, 0xc4661277, 0x881ea7c6, 0x5ddd8162,
+    0x13ebb7ba, 0x3f7aed48, 0x2d8207b1, 0x5fb0644a, 0xb8adb750, 0xf31658c3, 0xc1d493be, 0xe3761f48,
+    0xd458df71, 0x6fc8333c, 0x9d4e1cd5, 0xcfce20e8, 0xecbb1429, 0x8cd76571, 0xdde89c75, 0x303887b7,
+    0xccff3e8c, 0xf2fb6401, 0x2be0f627, 0x44997c27, 0x609df534, 0xacc34f5b, 0xa75b64ec, 0x8a0c554e,
+    0xd1543714, 0x90efaf24, 0x47446e68, 0x3c2d6712, 0x458b578a, 0xb83d66e1, 0x62cfa97f, 0x4c3135c2,
+    0x0a6254d6, 0xe22b8468, 0xa8350912, 0x297d1b87, 0x05607ead, 0x21c66504, 0xaf895449, 0x1b378eb7,
+    0x0b127e4c, 0x19b81810, 0x71b50e71, 0xa7a176b1, 0x67aa407f, 0xcddcf186, 0x4c079527, 0x0614ed72,
+    0x9d46bbca, 0x25927f3b, 0x5ef113bf, 0x185dd190, 0x9df3fc09, 0x82bbe86e, 0x82a32f99, 0x7233a540,
+    0x94d657e5, 0xe15e2c0d, 0x44821df4, 0xb21c1ad5, 0x7405bf4a, 0x0beea4c7, 0xee68f0ff, 0x3d532a61,
+    0xa4914997, 0x3c35522f, 0xdd2b7394, 0xc6c5798f, 0x7fbb87fb, 0x990a405f, 0xe9f8f8c5, 0x68827fa9,
+    0x5650def1, 0xde45d05f, 0xd0061d9c, 0x02727530, 0x402aa523, 0xc24940d3, 0xaa884460, 0xef4457ca,
+    0xdaf4e694, 0x87980668, 0x5527137b, 0x3d9a3ef7, 0x86ccca5e, 0x285e75e5, 0x9a6f44b0, 0x8377b4bd,
+    0x978c0fe7, 0xbb915d8b, 0xbeeca4be, 0x0f8b67f6, 0x0af88dcf, 0xe9417c20, 0xbc24eb9a, 0x111d00f1,
+    0x2b37e493, 0x0546cd59, 0xeb306b6e, 0x77a28910, 0x88a8ef7e, 0xc1796ea6, 0x7068f60f, 0xe9074edf,
+    0x1bbd781f, 0x622bac7f, 0x565eb6a3, 0x70ce5fe0, 0xf3dad503, 0x669dc997, 0x03d829a6, 0x0821db2a,
+    0x6015c1c3, 0x992b341e, 0xfb23b6a6, 0xb7d0b931, 0x5a1fea21, 0xddadb233, 0x5cb3aea1, 0xe17d443f,
+    0xc0b55efe, 0x02591ffb, 0x166402a4, 0x625a7023, 0x3577f9ca, 0x8ec379ef, 0xe3d5a080, 0x328c6424,
+    0x10920038, 0x5a63e273, 0xcad178af, 0xba289deb, 0xc895e9a5, 0xc05cfd9e, 0x8821d299, 0x08b2c581,
+    0x57799460, 0x39c3a726, 0x7c0a349e, 0x40947390, 0x5cb4d745, 0x06118ded, 0xc2ada36e, 0x9d6f0c60,
+    0x7e31650f, 0xd7492962, 0xf78ce71a, 0xc63b2ace, 0xc2d7d8c7, 0xfa09641f, 0xd592c54b, 0x6529b24b,
+    0xa44a67dd, 0xbbbe70e2, 0x6020bfda, 0x96abab01, 0x8d990837, 0x29dc074c, 0x56318e8f, 0xb788d763,
+    0x45833434, 0x8d526da1, 0x5f17b344, 0x553d87de, 0xe16e8596, 0x6a9e54f6, 0xb0a8fc40, 0x8b875f8b,
+    0x601f4372, 0x726b707f, 0x0b198b15, 0x3c5b9902, 0x363e5037, 0x6d9fda07, 0x57b1b3c9, 0x21c30639,
+    0xc78de1f5, 0xa2427cac, 0x8236056e, 0xcb3d7f08, 0x66fcb39c, 0xd0868b34, 0x3480f8cb, 0x0f35dc18,
+    0x70e21910, 0x4fb86c7a, 0x719d0cef, 0x5f11b5c7, 0xa1e91fb4, 0x040bad87, 0x92aba2d1, 0x71da2787,
+    0x19815030, 0xbc79e089, 0xb7109876, 0x5ee7051d, 0x372f2230, 0x39263270, 0xbe9c85dd, 0xbf9475ab,
+    0x85464b9c, 0x6e13e8af, 0x87fb2f13, 0xe24ce822, 0xa553d7fe, 0xe006bf62, 0x28c84135, 0x03a9a0c3,
+    0x0f3bf470, 0x107bb099, 0xcf81efd5, 0xe13d45b9, 0xd171c103, 0x7b0d98e9, 0xba12126d, 0xc58f1446,
+    0xc36dcad7, 0x95c80224, 0x8fe7ac8f, 0x68d6d19e, 0xb96688cf, 0x4b66bf3f, 0x3598efa0, 0x4edc1587,
+    0x827d05f8, 0xffa11460, 0x3f5c6791, 0x97223aa8, 0x4b09a69f, 0xe1477250, 0x6d26517d, 0x462d09c4,
+    0xe05dd863, 0x9fc1513e, 0x6fe7728d, 0xd1343550, 0x075f2abb, 0x3a024a73, 0xef4b2b39, 0x8e67b7d5,
+    0x3d94ebb7, 0x81ba9bfc, 0x5a88691e, 0x913afa77, 0xc479532c, 0x6c50ee1a, 0xc63f37a7, 0xd41cdc33,
+    0x0077e85f, 0xba21a551, 0x656a6def, 0x9ff3929b, 0xa3dc2e75, 0x3fe4aa37, 0x0e2fb385, 0x3745d459,
+    0xefe69b48, 0x0af939d0, 0xcbd2f308, 0x024edb01, 0xe0fe08da, 0x1b419a0a, 0xcca350d0, 0xfc0954f2,
+    0x2e874827, 0x99ab3800, 0x8b195a67, 0x22a81a88, 0x8f883627, 0x6ac30a4f, 0x7a6d85f9, 0x6dbb4733,
+    0x805d6508, 0x1de814d0, 0x9008d342, 0x09908a67, 0x63c6a7ba, 0xd8effe31, 0xf471dceb, 0x00c19f6d,
+    0x844e6368, 0x3d34a4eb, 0x60d44500, 0xe2acd4e6, 0xd58450d9, 0xd690d32b, 0x6ba9c78a, 0xf704b023,
+    0x29b7068f, 0x0de15771, 0xfb210f6a, 0x01adc89f, 0xc41007e7, 0x6472eb58, 0xf68c47a4, 0x43abf933,
+    0x1e6605b8, 0xdb891bba, 0x498c786c, 0x31bd67e8, 0xf7425544, 0xefa9fd48, 0xb257a46d, 0x034e8130,
+    0x1e8e636a, 0x1880001a, 0xbc708b82, 0x8d917474, 0x42c7f962, 0x664e4ef0, 0x84e698eb, 0x4592cad3,
+    0xeaa4e283, 0xd1ebc32d, 0x1351633c, 0x61b3251a, 0xd6d8ed10, 0xfe03e04a, 0x2fcf78c7, 0x2ee9bd91,
+    0x35803ced, 0xbe53de95, 0x2c1e9485, 0xa9b4fcaf, 0x0b62a937, 0x8a608513, 0x81f247b0, 0x880a0a35,
+    0x14467239, 0x3cc84a05, 0x41cbcaea, 0x8549d886, 0x3feacbf2, 0x8a58f033, 0x540b27f4, 0x8d8a1915,
+    0x3e1d2181, 0x534f0069, 0xdaa016aa, 0xa40ab141, 0xb02fccf3, 0xd7bba1bc, 0x34f65672, 0x70f87803,
+    0xd60a25e1, 0xceec81ba, 0x0eb607d0, 0x1b314f2d, 0x4f27eb5f, 0x7de1ca53, 0xf8d1a033, 0x2e6e9682,
+    0x99277a41, 0xdb63a30c, 0x262cc03a, 0x18f9c4ad, 0x0c30fd58, 0x78bc4be0, 0x71a074e0, 0xfe426b36,
+    0xb1f3db5d, 0x248400b3, 0xf3b3521e, 0x2f9ee707, 0x63da55bf, 0x189257b9, 0x9fec6eef, 0xf1141698,
+    0x34d5deaf, 0xbee6b756, 0x932be04e, 0x2acba4a8, 0x7382c086, 0xcadae87f, 0x0bd2ab73, 0x1deb2042,
+    0x2857b1f3, 0x33759651, 0x4a3c97ce, 0x043e46af, 0xdf611273, 0x0b840f7f, 0x2263e85f, 0x0589d36b,
+    0x0da1795f, 0xb00ad159, 0x0d0ee045, 0xdcb48978, 0x09d552a2, 0x8c06f147, 0x9fe9220f, 0x3781e388,
+    0xc4e26664, 0x301e5651, 0x6e19b9ee, 0x5ba4c78f, 0x190c3ce5, 0x3f34ffe2, 0x223080fc, 0xe08d569f,
+    0x23388124, 0xfeef14a4, 0x2f823a91, 0x4299def9, 0x342fac4e, 0x8b6758a5, 0x4e38a5de, 0x9fce1136,
+    0xfe87c61c, 0x4a981ac2, 0x265a5eea, 0xdda796fa, 0x23c3aa56, 0xc1fe928f, 0xcf915fab, 0x5b52c6d1,
+    0x42cf7ac9, 0xc416a022, 0xf3abcbd2, 0xf4b5434a, 0x1893a424, 0x87486d6f, 0x2b6d7d8a, 0x4f1f3174,
+    0x6227cb74, 0x7cb9f0f7, 0x81b7374a, 0xfa164dad, 0x9ab41fd4, 0xe1739500, 0x167db2f9, 0x1a08ff60,
+    0x6f253d4c, 0xf637cb12, 0x025b71d5, 0xb62e113a, 0x25df29e9, 0x8a03a272, 0xa5d89e9b, 0x759af12e,
+    0xa5eb1cb5, 0x479ce931, 0x7f74e785, 0x6121e9a3, 0xd46651ef, 0xa1504d79, 0xb63a2c03, 0x9d485206,
+    0x83dd219c, 0x8fed5584, 0xeb58ce93, 0x6b7dd868, 0x2bdee54b, 0xda28d53d, 0x5c05224d, 0xe8e83ee8,
+    0xcb05f074, 0x7f8b9d0a, 0xa08264d2, 0xc1b9e6d7, 0x3ec49856, 0x75ae32f3, 0x79c9209c, 0x0dca7fbc,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000002199023255552 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcad, 0x961ed0ca,
+    0x00000000,
+    0xbdf8c85d, 0xe439a7e8, 0xdcbc0397, 0x5e42bbeb, 0x307b7e29, 0x1f76f8c8, 0x5bf88d88, 0xaaf94b90,
+    0x1325985b, 0xee6f5236, 0x3b5d761e, 0x54ab969f, 0x820ad910, 0xef6412fd, 0xd63bb79e, 0x0f246cda,
+    0x6b8c088e, 0x1f88f31a, 0x09c8b88c, 0x7e35b8a8, 0x82d3e2f4, 0x711ec9a3, 0x9d9c6ab8, 0xf6ba2f01,
+    0x26b013b8, 0x4b3ed85c, 0x1ff1fd54, 0x9d721366, 0xc890aee1, 0xf504acfe, 0xa0e39b7b, 0x43a795b7,
+    0xfa1f009b, 0xa1db312a, 0x04707505, 0xd201fffe, 0x5ef748ae, 0xb0f3ea80, 0xc534f2aa, 0x55690537,
+    0x6d3fd6f3, 0x1b3d2a62, 0x3e2524d7, 0x8642241c, 0x5d4718f9, 0xf0456601, 0x076ea4cd, 0xfee54546,
+    0xb7000233, 0x4d5e1bca, 0x7d3c3bab, 0xa4c6c86d, 0xd9b4cdd8, 0x8435384b, 0xf3efa9bf, 0x97b7456f,
+    0x8c0f6142, 0x77e1e625, 0x793ebae8, 0x11f44f4f, 0x0c5c78a1, 0xaf20b187, 0xd8cc45cf, 0x5a045584,
+    0xcee44753, 0xe9b967e0, 0x63e926cc, 0x79332160, 0xbe21c47b, 0x5f07b17c, 0xbc7f20e6, 0x1bab73f0,
+    0xb30bc1d6, 0x315e022b, 0xa4d19b98, 0x8257b8de, 0xf4409334, 0xd27e811b, 0x6b15c04a, 0x0e6befaf,
+    0x32198792, 0x730a5871, 0xbedb98a0, 0x26069368, 0x47e00e9b, 0xd21c226f, 0x2d76faa0, 0x99e0ba45,
+    0xf1239fb9, 0x66b86b45, 0xc7291430, 0x30a86b75, 0x3efd9723, 0x5c665296, 0x9b9f959a, 0x719218da,
+    0x88742e15, 0xb2341df5, 0xfad88a4b, 0x25656199, 0x4e2c3006, 0x0bfa7d29, 0xcb34a240, 0x30cd9757,
+    0xe0e96b4f, 0xf993b1c3, 0x4f7ff041, 0x09a87e7e, 0xdf045d73, 0x3af51f08, 0xcf4198e0, 0x0d007ff3,
+    0xb30214b8, 0xa544a268, 0x65258cf3, 0x67f70127, 0x00be8786, 0x44e723a2, 0x59256a44, 0x749ec671,
+    0xc3355380, 0xd5f26817, 0x814079c8, 0xd0a2bb1a, 0x492b5d49, 0x6c14b494, 0x02bfb84f, 0xc915282e,
+    0x367fe0b4, 0xbb99c519, 0x2cef5229, 0x10c4c3e4, 0x7e66bf8a, 0x6bb33d2a, 0x6e05aa8d, 0xdf13efbb,
+    0xcc2c7a5a, 0x9132e7ad, 0x3bc14715, 0xd6ebd662, 0x5fafbaf4, 0xc6581cf7, 0xaafc15cf, 0x30c0686e,
+    0x8a4f8e00, 0x5dd43409, 0x7d4877ef, 0x53148b39, 0x70da3b4a, 0x574c9e56, 0x97e411a5, 0x1207e589,
+    0x92c160ca, 0x9028a1d9, 0x7e106ed7, 0xa09e171e, 0x31f70e9c, 0xdaba9566, 0x713fb71a, 0x365ea660,
+    0x48ff3907, 0xa9f169f7, 0x8a5e2ca7, 0x3610f1dd, 0x2ef41ca9, 0x25648d93, 0x28ab11e6, 0xa8fb17f1,
+    0x86da56f6, 0xf9353ac6, 0x6777a691, 0xbe159c71, 0x3529dc8b, 0xa47c114f, 0xc8485dc1, 0x2000d448,
+    0x608f5d33, 0x0f65e7b6, 0x50dae9c7, 0x5b719d85, 0x2a09ea83, 0xc6b534bc, 0xbd2a2590, 0x26aec637,
+    0x7ec1c507, 0x25013af9, 0x5e7e001c, 0x08c9f563, 0x7a6aa57a, 0x3608a555, 0xaa3daa5f, 0xb251ee54,
+    0x055dd9a5, 0x4df95736, 0x8bc58b00, 0xab2ea340, 0x021a0a73, 0x476c60e4, 0xa9389bc2, 0x4fefbe36,
+    0x3a403072, 0xe82e390c, 0x1dde76fe, 0xeaea1a24, 0x5430a461, 0x1b2b5799, 0x941d9442, 0xce45129a,
+    0xc40a66e9, 0x4bd161ee, 0x9115428a, 0x1c14791c, 0x03d27103, 0x8da6eaab, 0xcff880bb, 0xf8985ca6,
+    0x263844c1, 0xf263158d, 0xfad2f51a, 0x0d1c47ce, 0x682b4267, 0x4828bd0c, 0x29ffe325, 0x5553d8e5,
+    0x12ee6327, 0x2334dfc9, 0xc930d16d, 0xe3ddab68, 0x16f75f4a, 0x208817d3, 0xa0b32b63, 0xfee03958,
+    0x7b160baf, 0xe5c9b6e8, 0x939cd4c8, 0xcd23a30f, 0x10feb5f7, 0x3b41d0dd, 0xd2138b98, 0x021aa705,
+    0x13becdc5, 0xa10d16e3, 0x1f5244be, 0x624e55c2, 0xd093196c, 0xf1d6e197, 0x7c3e1816, 0x4d6d1c96,
+    0x64733c39, 0x41a00733, 0x0ff84bdd, 0xfb7de905, 0x26d4f118, 0xe4e56363, 0x186239e2, 0xadfbb850,
+    0x7019716a, 0xcdfe5ca2, 0x2b50886b, 0xb757f2fa, 0x26d89f58, 0x648cb928, 0xe3f3e3ae, 0x59d7fbdc,
+    0x63b8d4f1, 0x5afbc5eb, 0x1869cf10, 0x7103ac39, 0x2f47cb0d, 0x6870be6b, 0x954636c3, 0xff3355d3,
+    0x7ecd1b07, 0xfb781862, 0xafd7b8f2, 0xc77e2c05, 0x446ef139, 0xd0a903e4, 0x972df490, 0x2f869912,
+    0x3342cfc2, 0xc89bd5d9, 0x73908c8f, 0x4850be22, 0x0568c8e6, 0xfce38fc7, 0xad3e4cf6, 0x1fbbb530,
+    0x89fbccf1, 0x93efe387, 0xe1dcfbc3, 0x14a8c3c6, 0x3d1ce61c, 0x8a66c836, 0x0875407c, 0xb4bbc574,
+    0x0df93f9d, 0x2092d093, 0xa5a5ed9e, 0x2f0aacdc, 0xe236a9b7, 0xbf678775, 0xbbbb1d43, 0x5b55d935,
+    0x78a2a7f1, 0x825217ae, 0x5abda766, 0xd3856195, 0x9e1aa511, 0x374566ca, 0xd0667d88, 0x061ed8c3,
+    0xbd1aca50, 0xd4b2bea1, 0x36bc1104, 0xfeb80bc3, 0x4bf6411b, 0xecbf80d5, 0xd1a864da, 0x549b1dcb,
+    0xb9b9e258, 0xdb29e6b2, 0xe8a741ff, 0x6559bf85, 0x1e2ddd75, 0xe236c025, 0xb12dca64, 0x48de4910,
+    0xf4d7bf4c, 0x2fe9634b, 0x16ccea6f, 0xd766de5e, 0xd048777c, 0xd6718d79, 0x79669b00, 0xcaa0da7e,
+    0x50f5de24, 0x36d6bbde, 0xe509d90b, 0x2f5b768e, 0xb650fd6a, 0xd1307159, 0xa0e40213, 0x07c9f932,
+    0x82ab9891, 0x92aa23b2, 0xdce50ac3, 0x9b862c13, 0x732a74de, 0x333f6be3, 0x46174938, 0x6a21ab3e,
+    0x89124962, 0x4ede7df3, 0x4f88e80f, 0x32feab30, 0x5bff73fa, 0x1051bec4, 0x7e3efe49, 0xc93bb931,
+    0x5f875902, 0x8dddb89e, 0x58a08d45, 0xc4ee67af, 0xaf8bacaa, 0xf1ededb5, 0x064147b5, 0xe16b22be,
+    0xf229bd85, 0xa38a438e, 0x5ab827d8, 0xcbed66b9, 0x95da6be8, 0x7384f9eb, 0xbf842be4, 0xfe4dcb33,
+    0xddfcc064, 0x2fddd9bd, 0xf5dc3a39, 0x07acd8bf, 0x4fe1fa41, 0x5959ca68, 0xf1c31125, 0xbb825af3,
+    0xfa409b4f, 0xb250b4c0, 0x468797dc, 0x6abffbb2, 0xb9cb4317, 0xdeae2b53, 0xf5369c1a, 0x1ca2da8d,
+    0x207d03d8, 0xd0c18068, 0x0476049b, 0x39319873, 0xc7ec3aa9, 0x6b9617bf, 0x1b0da669, 0xb65cb25b,
+    0x334285e9, 0x0fdcdab1, 0xef89bb11, 0x9af06763, 0xef361ed7, 0xb9bd1b07, 0x2abdc8fa, 0x9a099892,
+    0xb90066e9, 0x45698892, 0xdd1cf45d, 0x6cd99c0d, 0x761d1a35, 0x446e5c7b, 0x8b775558, 0xc08b00fd,
+    0x566d4e7c, 0xb70b7514, 0x2121fc78, 0xb1ec6120, 0xf4e74815, 0xc464f988, 0xe72da140, 0x4573110f,
+    0xc6b7b0b9, 0x7e6d8c34, 0x8e9ccff8, 0xab0f3a3b, 0x559cb8e0, 0x81fbb3d1, 0xad2ed935, 0x0dce6fa0,
+    0x34f61225, 0x28faa27d, 0xed297631, 0x81f9f5a8, 0x648346d4, 0xe0e976c5, 0x078c7510, 0x48e597c8,
+    0x8f2de33d, 0xa692437a, 0xdc9c49d3, 0x03452a31, 0x66534a45, 0xd0efd5cd, 0x2b58af54, 0x712c3af2,
+    0xc267a1cf, 0x2d5e851b, 0x0b938303, 0x02523929, 0x8a9196c9, 0xd4f65f4e, 0xbebf7363, 0x6f942402,
+    0x99871193, 0xfd932d21, 0xcb791e89, 0xf76ea842, 0x5b922e5c, 0xab8c31d1, 0x4a8c0e72, 0xf5f8c269,
+    0xbcfd1ac3, 0x760b2b3e, 0x5b5fd62d, 0x4205fc96, 0x465f7fa4, 0x9f4fa6ee, 0x7de2775b, 0x4be8d291,
+    0xa389cdb3, 0x8a24bca3, 0x05fef9d2, 0x4a752368, 0xf00f207f, 0x0b1031e8, 0xef7df54c, 0x269218e7,
+    0xbca40092, 0x944d8d93, 0xf2169a6e, 0xefe45056, 0x5b754bf7, 0xd642f92c, 0x83374bdf, 0xafac7b56,
+    0x37b74a70, 0x5e66df7e, 0x2b96bd80, 0x7201b45c, 0x4ed1506f, 0x3b9c2d9a, 0x15706b28, 0x205fa1ef,
+    0x567c5c74, 0x67c2dfd7, 0xef74af22, 0x607ac103, 0xb97d6644, 0x23ba32de, 0x4bc5a369, 0x2af717a4,
+    0xc7f0f739, 0x988f11e0, 0xf5db25f8, 0xf8636a6e, 0x5281305e, 0x843066d2, 0x505412f1, 0x5a893a3d,
+    0x8d356cf2, 0xc1f970a7, 0x9491899b, 0xcd26ad4c, 0xcce6589a, 0x1cdeea4e, 0xbe83553c, 0xe469d944,
+    0x902923fa, 0x2ebedc10, 0xa486c6ea, 0xfe6cb61b, 0x9aa72009, 0x7d0fce85, 0x3b0f5bdb, 0x502e0756,
+    0x21ab82f8, 0xc31757ec, 0xbc0139aa, 0xdad94f4f, 0x744f3fe4, 0xa4d3d10c, 0x867f18e9, 0xdacdd8f9,
+    0x581c8062, 0x21083b37, 0x01d097ab, 0x267ac2e7, 0x789e2d13, 0x4bce01f3, 0xecf59f13, 0x7a0bc63f,
+    0x0e008fa1, 0x1bf87d2e, 0x0ce016cd, 0x63b76b80, 0x5ed77497, 0xeed16fec, 0x3f5b79a3, 0x8f81da69,
+    0xbd4a7e68, 0x109ea7d9, 0x701266b3, 0xf88e736b, 0xc5f4e808, 0xf603e3f9, 0x4cb3b1de, 0xaba0fdb1,
+    0xc7f9be51, 0xb846094f, 0xe9431bd4, 0x52ea6fc9, 0x1503f40f, 0xd347af03, 0x7bd2411f, 0xdf36eb9d,
+    0x335014ec, 0xb4d62070, 0x6dc4fc3a, 0x9e7c37c7, 0xf265a03f, 0x24b3aad1, 0xc01a8956, 0x0e467484,
+    0x445e30d6, 0x2276e310, 0x54089c2f, 0xff51641c, 0xf23f375e, 0x4d146c38, 0x7b6e4b03, 0xdcc5ee94,
+    0x37a4cd33, 0x1f44dc8e, 0x0d756662, 0xb1ecbd5c, 0xbc5bb3fc, 0x6881b272, 0x1aff95ad, 0xc77a300e,
+    0xcf735feb, 0xb7e56897, 0xb31d8b52, 0x07ce226e, 0x4d3be1cb, 0xd36c86e5, 0xf00c8210, 0xb6a2bd88,
+    0xea21f2fa, 0x097441de, 0x22d08560, 0x65562c92, 0x5d278655, 0x7f772f9b, 0x5caca0c0, 0x463e2ca5,
+    0x1d638415, 0xefb6ebb2, 0x8fddd69c, 0x05c6e851, 0x5d5e29ad, 0x9d72f4ee, 0x0e9b9ab2, 0x79560687,
+    0xa0102a52, 0x294e6e1a, 0xcf90118b, 0xa5aa131a, 0xdb7fde84, 0xd8ac846c, 0x79eaa23b, 0x38e19e44,
+    0x38c611fd, 0xdc596ac9, 0xe7b48ece, 0xbe6c247f, 0x3d3d54bb, 0x1fdf6533, 0x2135a3e9, 0x1388a1b4,
+    0x830abb05, 0xb18c4b42, 0xa6ca67ec, 0x46882b5c, 0x1c117140, 0xc5c94f3f, 0x5969f04f, 0x37cad53e,
+    0xbcc92b4b, 0xcd721263, 0x2321398c, 0xc2b658ce, 0xe2c2964d, 0x4e8e2578, 0x1a6df0c0, 0x541ee8b5,
+    0xb9307aa2, 0xdcdf41b0, 0xc4c337b2, 0xd606fd18, 0x012e4ee4, 0x3d11a3e8, 0x2a9ed240, 0x78ef7361,
+    0xd3445aea, 0xdc0cd76a, 0x58d6605b, 0x0b0a9b32, 0xa716ac75, 0xc7b31560, 0xd6c257e2, 0x3d44f680,
+    0x3bb9c108, 0xe7da5d8c, 0xb8900918, 0x9e54d242, 0xb92477ed, 0xab023dc7, 0x715539f0, 0x1648e9d8,
+    0x02d4152f, 0xce3c898c, 0xfa6e0b6f, 0xc23c93f4, 0x6a3c3f72, 0x2350f9d4, 0xb365b13d, 0xc0376d25,
+    0x52b98e0c, 0xc99eeaf0, 0x0f0389eb, 0x78dd0223, 0x68e236f8, 0x7bcb0714, 0x8e6d58e9, 0xc27ebe93,
+    0x1a041e5c, 0x8abdd21b, 0x1eaca54c, 0x2c23a8ec, 0x9d3b6353, 0x04ae4887, 0xad3d2646, 0x0cc3d52b,
+    0xfc4e0d49, 0x48998f5f, 0x9ae94972, 0xb3841376, 0x2dbfb3ce, 0x77101b02, 0x3a970059, 0xcd96588a,
+    0x340ca896, 0xe833f378, 0x2d012c28, 0x6e40de3c, 0x2c8bf7d6, 0xc3f8cd06, 0xb03313d1, 0xc09e7ddd,
+    0x8858a05d, 0xea5b518f, 0xf89b1e93, 0x122bbf5e, 0x647812e3, 0x047b7471, 0x4445a8c5, 0xd1c7880e,
+    0xe21cf62b, 0xa9931605, 0x33ac396a, 0xeebaf59d, 0x136da60b, 0x00e834c8, 0xa1f040ad, 0x9bc97338,
+    0x0053b2bb, 0x9594b0d6, 0xd922a107, 0x3ccfad25, 0xaa3bd73c, 0x3d54e2a7, 0xaf2d4aca, 0x4b70e7b4,
+    0xc44aa438, 0xe6004096, 0x4270c5a2, 0x3bfb3955, 0x1251bd8b, 0x872335c7, 0x181f3c2f, 0x5906b360,
+    0x78de4fff, 0x99f65349, 0x46f06efb, 0x91071464, 0x5c1654cd, 0xfd4e712a, 0x6cc40de5, 0xfa5d1f93,
+    0xba941ace, 0xb8c83c1d, 0x32aff6b5, 0x7abd516e, 0x227a6cae, 0x16650b49, 0xe7a17f39, 0x94d8e65e,
+    0x49a3af9f, 0x933ea97b, 0xdeb6fb34, 0x64342f80, 0xcf2bf344, 0x406824d4, 0x274be614, 0x9bf01325,
+    0x3bf8a9a1, 0xbc1b8bbf, 0x95ac8338, 0xc2cd51d3, 0x96eea732, 0xb5fd0dd5, 0x0d93f37d, 0x2af1e49c,
+    0x981b7938, 0x951215a7, 0x69b9613c, 0xec7c4114, 0x5ed0053c, 0x6c318145, 0x233fc876, 0x117c70c7,
+    0x37f20c6e, 0xdb3d0691, 0xd4fa322b, 0xa7f45eb5, 0xe6f79c86, 0x96775e95, 0x08dddfed, 0x83127f8a,
+    0xc2e705fd, 0x0fbc65f8, 0x0c6058cf, 0x4f5bfa15, 0x9047210d, 0xc78ab884, 0xc49973ef, 0xd9e06260,
+    0xf790c09b, 0xfa261211, 0xe6508bbf, 0x50d198fe, 0xdc512c85, 0x37877b1f, 0xd9751962, 0x96b3eb10,
+    0x33c312f4, 0x267d31ef, 0xaad59f69, 0x49357d87, 0x83747168, 0xf2d1b0e8, 0xd81182b2, 0x0228d06b,
+    0x88bb209a, 0xcaabff2b, 0xf442e35b, 0xe31eeb52, 0xcc7e0f4c, 0x912de267, 0xa4a4fa54, 0x62ae56eb,
+    0xcc6da89d, 0x8eee198a, 0x26ca215a, 0xc0d9c28b, 0x9845144b, 0x50acdb73, 0xe78c4f50, 0x72793609,
+    0x970e6dfa, 0x41a6c7b9, 0xa4a489ac, 0x0b1577ae, 0x26fd7dec, 0xcdfa7bfb, 0xb6db8c40, 0x7a880316,
+    0xb802e573, 0x8bdabceb, 0xeafd3719, 0xf1d7f029, 0xa924d14f, 0x5e1e72d6, 0x28bd3070, 0x6c81b798,
+    0x3167811c, 0x846c6b71, 0x0cc0150c, 0x29aa265c, 0x1f0002a2, 0xd7c8c46a, 0xff28c786, 0x20ed3d20,
+    0x1c9f6384, 0xe7865406, 0x4b060460, 0xcbf64272, 0x5b91d129, 0x1465d8ca, 0x916936da, 0x4ab768cd,
+    0x0ab2f9ca, 0x6ca36d3c, 0xf7190472, 0x7f403287, 0xfe01f188, 0xcfb74546, 0x1c65892a, 0x6e25f6d2,
+    0xdb6ce1e6, 0x4192a1b9, 0x38390a39, 0x0c806ae9, 0x009d0283, 0xb72700c3, 0x8295808c, 0x8a271ba1,
+    0x3f9cddd8, 0xcfd09d05, 0xd1aa5038, 0x3fdcd7ae, 0x0af6f6ea, 0x19298458, 0xc7824212, 0xd6791f1f,
+    0x24627d3f, 0x47ecb3c3, 0x1a9b3f65, 0x039d63c3, 0x65fbf514, 0x0ebe0413, 0x5593d42a, 0x0ccea018,
+    0xc7cbba43, 0x411dc4b5, 0x984e79ba, 0xca7b22fa, 0xad277ef3, 0xb91496a1, 0x276748e1, 0xf705928d,
+    0x25441733, 0x14645e29, 0x113a513d, 0x30f5f4a7, 0x5b94aeab, 0xfdc07dd4, 0x4651acad, 0x7ffcc959,
+    0xa72b0c01, 0xbc393505, 0x653a280a, 0x221a5f19, 0x9ef7c4e3, 0x1d4c72c0, 0xe3beabed, 0xb58ad235,
+    0x396e0fc3, 0xde728267, 0xc0d726a6, 0xec2e6a54, 0x7916a9e8, 0x8dff0f87, 0x179baf69, 0xd9403036,
+    0xb3b1db40, 0x77d10a70, 0x05b5f6e0, 0xeb2eaa10, 0xe32e3b38, 0x0898a540, 0x994bf394, 0x62a0a655,
+    0xa17aac37, 0xdfe8e551, 0xe517be33, 0xa712cec7, 0xb0ac6bef, 0xc352876d, 0x53e02ba1, 0xf1776cc3,
+    0x530265f2, 0x1767ec70, 0xa824c826, 0x21bf2f88, 0xab386444, 0x2f891f1c, 0xb752662b, 0x243e2fc0,
+    0x220c1226, 0x18fed38c, 0xe00d0221, 0x8b9a4afc, 0x53a5a3db, 0x558ad7d9, 0x8af0809a, 0xe5b37819,
+    0x92bfa0a6, 0x2ae17b68, 0x634a5b8b, 0x85b10583, 0xfdbfe5e6, 0x254a6a50, 0x46333f01, 0xe5914e1f,
+    0xd844a234, 0xe476ea7b, 0xf27c60a0, 0x5667d88c, 0x37205f0c, 0x26f03748, 0xad695687, 0x0fcc00a4,
+    0x86959494, 0xc629d708, 0xaa21b66c, 0x0f267ce2, 0x3b26ee80, 0x18f6eb2b, 0x8f63f911, 0xd1a016bb,
+    0xefbb8081, 0x8014b41b, 0xe40c7e6a, 0xfe1c61af, 0x0506e4b4, 0xc9546204, 0x8be3a596, 0xf1e86a15,
+    0xb2ab43bc, 0xc15d3405, 0xe9ae1580, 0xcdef856a, 0xb120da9e, 0xf8717789, 0x4298d13a, 0x087767c0,
+    0x99ed2b05, 0xaa54b8cd, 0xcd8829c3, 0x6f05fcd2, 0xa887cda6, 0x3c85cae2, 0xeaa2d383, 0x48ada8ab,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000001099511627776 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe56, 0xcb0f6864,
+    0x00000000,
+    0xdc874655, 0x50d392b1, 0xd7cf9996, 0x3fe7c2d1, 0xc1bf460b, 0x004c347c, 0x209089c6, 0xa5008244,
+    0x32e31c57, 0x996e2762, 0xb687848a, 0x4e92beb0, 0xbbb15131, 0xf7622bf6, 0xaf72f815, 0x5c3b9514,
+    0x3d28649f, 0x72f0fa10, 0x24e893a9, 0x82cb380c, 0xf8828265, 0xbd7879ba, 0x4ac21043, 0xd65b2df7,
+    0xe44a7bc8, 0x2e1aa9d2, 0xca053082, 0x667a167f, 0x4825945c, 0x2bf2bf9b, 0x714c253b, 0xfbd75a4a,
+    0xe6c4c4c4, 0x1bf614c4, 0x1f7b3439, 0x598403e8, 0xdb7e552f, 0x15763c0a, 0xa1910ab9, 0xd84aa864,
+    0x7d61abcf, 0xd2d827fe, 0x95237895, 0xdecc23c0, 0x518cc381, 0x576d0545, 0xd1acec5c, 0xcbdc4545,
+    0x7689fedd, 0x901332a1, 0xb77a8cbc, 0xc050cfb3, 0x8338ae4f, 0x411d56fb, 0x7bdbc9b0, 0x23f7e480,
+    0x573f707a, 0xe08f4d1c, 0x8ddc3315, 0xe495898f, 0xbf3f539e, 0x45602409, 0x15dd046b, 0x9a83c15a,
+    0x07044e97, 0x8424c110, 0x1f82a22f, 0x33d91743, 0x68c30ccb, 0x561fd6ff, 0x2bdc1d2f, 0xbda78332,
+    0x56b97967, 0xeadcc8de, 0x092ad31c, 0xed14a678, 0xf370fe53, 0x3f8c7c42, 0x79b17724, 0x01b04e34,
+    0x8206f355, 0xbf0368f5, 0xeb3d2aef, 0xd195883a, 0x6d5af521, 0x1269c64e, 0x4eebb284, 0xf9a62bd6,
+    0x58a16c06, 0xc877121a, 0xed020112, 0x57664a2b, 0xca5fa891, 0xb6aa1f23, 0x3fee3a05, 0xca2c3229,
+    0x63af759f, 0xe9cec8a2, 0x186df318, 0x530a9fc6, 0x5c361762, 0x4059aec8, 0x32136fc0, 0x9bb65b10,
+    0x2a472845, 0x7853cfba, 0x402bf851, 0xf5db43db, 0x8f91ae26, 0xdb5e8c21, 0x435a4d54, 0x6f7b6ce0,
+    0x4e1acc86, 0x731fd6b2, 0x4029c19c, 0x6e9707fc, 0x2fac3de1, 0x6647281e, 0xe449c016, 0x1b6acaeb,
+    0xcdf12bd1, 0xfdd3af73, 0xbff7eeec, 0x39d00d6a, 0x7d5f9687, 0xde1d57e3, 0x40fd444b, 0x012f66d4,
+    0xa2ba92c6, 0x1b494470, 0x01bffbb5, 0x0cbea833, 0x98e115fe, 0x0bc35eee, 0x94b870c2, 0x98b0e5f9,
+    0x26af068c, 0x83d6a3c9, 0x6747d0b2, 0x46ed8253, 0xab94eb4e, 0x08afec5f, 0x3fc979b9, 0x9f6d6281,
+    0x7051d700, 0xbeed1229, 0xeb47aa16, 0xaaf87d50, 0x42eec3b8, 0xdb49bb69, 0x9de80221, 0x9c843a53,
+    0x8e7cfc6b, 0x24d80a61, 0xe6ae30fa, 0x9c9d86f7, 0x0b8c5ae8, 0xa1be2f66, 0x851fbabf, 0x2380558e,
+    0x4e059853, 0xe6cae66a, 0x892b84a4, 0x6f1c87ae, 0x95dabdc7, 0x939d1bf8, 0x896178fd, 0xf2e35dfc,
+    0xb58adcc2, 0xc3e979fe, 0x1aed769c, 0x69b63514, 0xe15f7306, 0x0260ea33, 0x5fc0a664, 0x7dced29d,
+    0xd25de545, 0xfbfb2428, 0xc3115cdc, 0x5acbea27, 0x40451f9d, 0x9ac2d3f8, 0x2fd61ca3, 0x8654b86a,
+    0xc8b5b3ac, 0xb1dd674f, 0x0bc2a776, 0x15b434a9, 0x60368ced, 0x87b74115, 0x1cbb4fb9, 0x179a7ef8,
+    0xba0c392d, 0x9c19d017, 0xe6b20a41, 0x300c02fd, 0xdf52c949, 0xcbbec76c, 0x5d56ac85, 0x5b954e30,
+    0x8279f41b, 0xfee329ae, 0x708410ea, 0xbd7cc4d4, 0xe2eb416e, 0xd020e5e3, 0x469399c5, 0x00989f4c,
+    0x37bf61a8, 0xff25497f, 0x3de9d6e4, 0xfb8284b9, 0x2abea284, 0xe23a1289, 0x2d6b74d8, 0x0e8fa49f,
+    0x5af5ad46, 0xa8bbc23a, 0x56d89ece, 0x791ebf22, 0x368331b0, 0xf93127c1, 0x85000010, 0x8fd00121,
+    0x31e3c212, 0x62f7ac67, 0x9fa382b6, 0xd8efc36b, 0xd6298c6c, 0x643d7734, 0xae03009b, 0x984a9366,
+    0xc687d307, 0xaf8ae1f0, 0x2c6ded24, 0x6f6cccd4, 0x38e9c9dc, 0x8aa9c19f, 0x44abac9e, 0x7281beb4,
+    0x56c84c68, 0xbd08c9d6, 0x1efabe3a, 0x64757146, 0x578587cb, 0x68418370, 0x62444c56, 0x42c305a1,
+    0xd0c47690, 0xe669c37d, 0x5ed015df, 0x60708570, 0x4276680c, 0x55320a49, 0x48db4202, 0xe5369c3a,
+    0xb25b24d3, 0x30b87dd2, 0x550b7135, 0xa18bf8f0, 0x3209e4f6, 0xb3be42b9, 0xf1c16c64, 0xe1e87735,
+    0x57a11f84, 0x603e7ff2, 0x30ac3a40, 0xc007e4e6, 0x1fd0ccd8, 0xfd4d102d, 0x8003f998, 0x7685ca66,
+    0x8cabb323, 0x3a020831, 0xa264d6a9, 0x5f490616, 0x93aadac2, 0xf0cbcbaf, 0xe437ff20, 0xf2d59789,
+    0x8305ad48, 0x8c92166e, 0x65a74552, 0xbcdede32, 0x3658145c, 0x1d9e3a6d, 0x73c1f143, 0x663f8963,
+    0x7b5137c7, 0xeaee9762, 0x6684226c, 0xcd7d99e1, 0x8674d269, 0x3a3a8122, 0x485c6a0f, 0x8dac511c,
+    0x0f0a7da5, 0xad341bc1, 0x51ee6f27, 0xed7d3710, 0x3651536e, 0x0b89fb1e, 0xceb086ef, 0x333bd665,
+    0x6652c636, 0x73e23de8, 0x6f744290, 0x6cd3cc5d, 0xa8b0b6e3, 0xaed9bab2, 0x6ac39c35, 0xc40ed198,
+    0x91be81a3, 0x87ae3de0, 0x223d0870, 0x0830f177, 0xc368649b, 0x5b469dd6, 0xdef889ea, 0xce5646a0,
+    0x7aa8a6d8, 0x52267458, 0x6e5fb5e0, 0x58b4ebf8, 0x8d67694a, 0xe5bc1bf2, 0x93a0e9f5, 0x0511f9fe,
+    0x2d595867, 0x5fdc8ac2, 0x16e24c22, 0x57e8a578, 0x3764bacc, 0xef722898, 0xbf576ad1, 0xfb0070b5,
+    0x30c4952d, 0xe626d84a, 0xe665fbd3, 0xed8be05c, 0xc7c164d5, 0x45764632, 0x0662446f, 0x362ff81a,
+    0x25c749d5, 0xb095dc2b, 0x272fb687, 0xccc880c3, 0x5cd6a89c, 0x2e8d48d2, 0x451e1c71, 0x14138886,
+    0x26928c00, 0xd29fe979, 0x69026466, 0x5dfa06cf, 0x7dc22635, 0xc6fed500, 0x24afa64e, 0x2350d620,
+    0x3eb6970d, 0xd337b155, 0x97ef5e75, 0x156a40ba, 0x34a55a46, 0xb1721904, 0x9d5a3780, 0x0c810a18,
+    0x8c8904bd, 0x6c106aca, 0x40bdc5aa, 0x1e110663, 0xd043ca52, 0x4ab28c93, 0x8ed88977, 0x97d553bb,
+    0xe78c16b1, 0xdf0a4d1f, 0xdbc804f3, 0x8854c12f, 0x2bafb5e8, 0x6d8ad454, 0x5ec6a2a3, 0xdab5ed68,
+    0x36ca919d, 0x7fd591a8, 0xc983583b, 0x6fbd7e3b, 0x71a7d973, 0xf3aaae6d, 0xc1b28c5f, 0x1f4b2c78,
+    0x050c646b, 0x57196e90, 0x465a7bcc, 0xbc511511, 0x96081bdf, 0x34ceae5c, 0x5f436267, 0x07798eee,
+    0x07b6bdef, 0x89640251, 0xfa763ec1, 0xec22723a, 0x86de496c, 0x737ad32e, 0xa34a3614, 0x104bde3a,
+    0x8bee5894, 0x97df6e17, 0x299ef1bb, 0x24c06d90, 0xbb738984, 0x48dc90b5, 0xe9b526aa, 0x2274f870,
+    0xa42d49d0, 0xf9e39efb, 0xb78be0ec, 0x3fccea90, 0x743b5da9, 0xb7f5059a, 0xc0f6bc74, 0xda315cff,
+    0x6e85df48, 0xe95fdc84, 0xbe1f07b6, 0x0ea1b773, 0x49640a7d, 0x6f692c42, 0x8e6bcee5, 0xb81da46c,
+    0x8a58a672, 0xadca5bed, 0xeaafb8ea, 0x88260e25, 0x0fdfe9f3, 0x345d155a, 0x89715f7d, 0x8900d996,
+    0xc737c1e0, 0xc5aad7d7, 0xaffd2eef, 0x508bcc4a, 0xa43579af, 0x6ea12a35, 0x0ab6f559, 0x7de3a3ff,
+    0x5b261713, 0x52ab2ae9, 0x5aa9b891, 0x6a9e9122, 0xa611a164, 0xb26069b1, 0xf1c81082, 0xe7b41a03,
+    0xf2251ec7, 0xd8fb6c26, 0x9b5c32e7, 0x61e641dd, 0xd55572de, 0xa25524de, 0x4a1cd4a0, 0x1ac7d83a,
+    0x27c4c5b7, 0x3a8a40fc, 0xcba517bb, 0xad82dc52, 0xd4244763, 0xb5254c0c, 0x83a7517a, 0xd6251eb1,
+    0x5cb63139, 0xbceeefb9, 0x40d6ceab, 0x4046ab24, 0xf92406cf, 0xf2f64bae, 0xa4f84d79, 0x541d5aec,
+    0x8ef870ce, 0xa35cd51e, 0xc463b381, 0xd016a7a9, 0xebe577bd, 0xc19ec00d, 0x3a2f13cc, 0xc566f55a,
+    0x734f8945, 0x8d69d276, 0x52fc979d, 0x9fecfcea, 0xca28e956, 0x64248977, 0xb8bbe85e, 0x7fef8d4d,
+    0x7cfd5571, 0x43a0f41d, 0xe6b7d056, 0xe1fdd926, 0x19d14d46, 0x4d9068f0, 0x27829d5f, 0xf19d590e,
+    0x12129051, 0x30bb018e, 0x017351c3, 0xc703b73f, 0x13c1e8eb, 0x8b486f44, 0x01d9cb58, 0x7a437da0,
+    0x18f61e28, 0x7d0ccb67, 0x6f90a030, 0x0c6b5013, 0xfc059cd2, 0x355b431a, 0x27f27a97, 0x8c0aa487,
+    0xccaa2487, 0x156c7ebb, 0x8a856d32, 0x69894457, 0x8a9dea4f, 0x92264b32, 0x4d98ad83, 0x51cc8ab1,
+    0xbebff5b5, 0xf3b46346, 0x71daa9bf, 0x72a348dc, 0xd0d0c79d, 0x09affa8e, 0xe59944ae, 0x7d0caf9f,
+    0x8ff98980, 0x280ea77b, 0x813f65b1, 0x6d01f05b, 0xa40111d1, 0xbfc6f8de, 0x8f8ee91e, 0x0e8fcf73,
+    0x051a37a5, 0x14ca9b90, 0x0744ba65, 0xf61b3efb, 0xae4a4633, 0xb946fad5, 0xc1713809, 0x0f18eda5,
+    0xfe872165, 0x2f2ee8bf, 0xcc08bedb, 0x06ddb04c, 0x7a29e2a3, 0x9355cc88, 0xab585baf, 0x515912c2,
+    0xf1e3eb0f, 0x05169e9f, 0xee097377, 0x32a9afb6, 0x8982f58c, 0x8de2a366, 0xeac2641f, 0x9ba7b8ab,
+    0x9bfe3d9d, 0x01abb93c, 0x8db67e1e, 0xafba2868, 0x2b7cc11f, 0x249c5049, 0xf9d72a24, 0x5feae141,
+    0x2a0523c7, 0x5bd59658, 0x4ccda0a6, 0x458005da, 0x8e37effd, 0x8aab6909, 0xcc5fa3d2, 0xb9674d51,
+    0x141a0b50, 0x473d0a42, 0x68752731, 0xa466fd7e, 0xe5863d1b, 0xa009185b, 0xcaffa21b, 0x92eacb5f,
+    0x1118e46c, 0xcbf05dca, 0xc5e83d7e, 0x80e39b17, 0x8adfece5, 0x5d72bcbd, 0x90a8f6f6, 0xa4df5336,
+    0xf62d6175, 0x3e10a242, 0x139914e4, 0x0a0b7bce, 0xd880af5a, 0x340ff003, 0x98972617, 0xd730c944,
+    0x4b09f3c5, 0x3f2d4497, 0x188f887a, 0x1e698417, 0x75f6b68c, 0x587eb89e, 0x10a88f24, 0xd23c6cc2,
+    0x652c9bb3, 0xbdebf120, 0x84d6b889, 0xc09313bf, 0x0f823cf2, 0x5b1c419b, 0x0183bcba, 0x9b221dc4,
+    0xd22b226c, 0x586c414b, 0xfcca9be4, 0x56503a4b, 0xa4a51265, 0x0aaefaf5, 0xe92dba4f, 0xbe7e7425,
+    0x0257c01b, 0xf330db06, 0x401482f8, 0xac22b6b1, 0x7713cc49, 0xbef9fceb, 0x64d069a4, 0xa0df3216,
+    0x381c0952, 0x44097c4f, 0xbc91d2b6, 0xcc0da122, 0x197252a0, 0xfd7eff14, 0xb79727e9, 0x9a18eb9f,
+    0x48e1ea33, 0x2ed01d3a, 0x58b44197, 0x2492b6d9, 0x9517db96, 0x1ba9bddc, 0xe6eff608, 0x94c32e37,
+    0x217e4297, 0x206cea72, 0x4311f8b5, 0xcba1878a, 0x3fa6e290, 0x67896416, 0x4bb5a215, 0x6895809c,
+    0x0f27088e, 0xfb107ca0, 0xfd44399a, 0xb2fd6ba0, 0x0f8149e3, 0x1bf83bd4, 0xe710c30b, 0x272ed745,
+    0xa9ac9a06, 0x5d82556b, 0x3402847a, 0x62ec744a, 0x66a4a362, 0xc4decf5a, 0xf07fab4e, 0xbd7d3997,
+    0xdbbf6e31, 0x11b09b1f, 0x520915ea, 0x136a4b37, 0x5d080b68, 0xbaafd3ed, 0x3b9683b7, 0x9a0f2386,
+    0x506b1e04, 0xfa04079d, 0x27fb2f56, 0xa25cfff7, 0x3304e1a0, 0x6bdad3fb, 0x8c7bd110, 0xb74245dc,
+    0x11635501, 0xc13391dd, 0xc415a55b, 0xab433079, 0xa281f11c, 0xc2ae8089, 0x465e68e0, 0x04a3dd28,
+    0x53baae73, 0x025ae846, 0x610fc851, 0x9c6a5b38, 0xe220a417, 0x1e9bd014, 0x430cd3b5, 0x08b4a6e3,
+    0x3e340ac6, 0xc96b4c39, 0x633c2484, 0x0d7411c8, 0x6dc46a1b, 0xae63d80b, 0x5e29dabe, 0x9f85ecfa,
+    0xfdeeafc4, 0x216bdfe4, 0x75f09b91, 0x8082de15, 0x94857b92, 0x8caa4df8, 0x194c59de, 0x69c5521a,
+    0xe9015799, 0x11555933, 0xcde9577e, 0xa2fee3ef, 0xa3d8e681, 0xcedbaed3, 0xd47e35fa, 0xa1ef03c7,
+    0x318cfc94, 0x778b9b7e, 0x9def7948, 0x4e143bcb, 0x76d9db69, 0x1bcdb7bf, 0xc87a4d27, 0x8b7f5c0b,
+    0x693f8537, 0x91c837e9, 0x1abeee06, 0x7d10fa89, 0x1fc9cf34, 0x613d6553, 0xbeb97f81, 0x8968abc4,
+    0xae37c504, 0xb3d0ce84, 0xa905149d, 0xdb7bfaa4, 0xc1150d7a, 0x5c693833, 0x89fe259d, 0x49b43652,
+    0xfc383d84, 0xed3cecd0, 0x67631e0b, 0x203b9fb0, 0x3ae58b2b, 0xf2e3c522, 0xdd061eac, 0x031d8972,
+    0x34b28afa, 0xf7c8c196, 0x629b832e, 0x0ebe7a9c, 0x81d3bba6, 0x1a7697d3, 0x0230829d, 0x23701efd,
+    0x370a6e3a, 0xf8a81c98, 0x20a7c4ea, 0xe25ff33c, 0xc8b9a888, 0x4d616667, 0x5142400b, 0xf308e514,
+    0xc71ccfaf, 0x10a0f47b, 0x5ec718df, 0x13111643, 0xd6bd7e83, 0x298c9f3c, 0xba8ea54f, 0xf5f1554c,
+    0xe21934c3, 0x7f12dc3e, 0x0860eba9, 0xf68681a7, 0xbff90800, 0x81362e71, 0x78f8a58f, 0x826c21ea,
+    0x28b22f19, 0x9a673c2e, 0x4cf608a6, 0x63966135, 0x56bd7d13, 0x50fcc7c3, 0x94c88998, 0x793f703a,
+    0x9d38609d, 0x069ca714, 0x4405184f, 0x4d9f4cb0, 0x7098e637, 0xe8e825c8, 0x68c60217, 0xbea1eb34,
+    0x2b4d06a2, 0x260225dd, 0x406b3fdc, 0xb34f979e, 0x50b32787, 0x23781dbd, 0x564f054a, 0xd79d4cac,
+    0xd25e4aa6, 0xa28ce064, 0x51de676e, 0x23fb01f1, 0x6c7efbd5, 0x67b1d381, 0x9ca16432, 0xbf570e2a,
+    0xdcc216cd, 0x78c2980d, 0x5d4c2b17, 0x34580075, 0x6f51c20f, 0x75bd9e2d, 0xf41758cd, 0xffa8ba37,
+    0x71ccd355, 0x0741358a, 0x06981ad2, 0xd5896e97, 0x8bee12ba, 0x8d239ab3, 0xe96128dc, 0x5bfcc268,
+    0xef706825, 0x8cfef4d4, 0x2d8b4f94, 0x931c1241, 0x85a5acda, 0xf4e1862e, 0x649b1bcc, 0x470a864a,
+    0xf277a939, 0xc98ce5a5, 0xfc1086c7, 0x707e50b1, 0xb22dcdc1, 0x6dc8a7c5, 0xbbd91a83, 0xe5138761,
+    0x56a8b496, 0x6a62adb8, 0x2f7918dd, 0x952dcd06, 0xb4f77719, 0xa4ba66d2, 0x038e4326, 0x2fd80280,
+    0x5d6c9da2, 0x1accee11, 0xa794cb06, 0x8abf5abe, 0x15198a5e, 0x6223ea8d, 0xefd73e19, 0x0f8289c4,
+    0xe07f95d9, 0xf40d6f5e, 0xcad12171, 0x7df784e0, 0x9771d58d, 0xd6e2ca77, 0x4ce12e50, 0x67b451c2,
+    0xbd116624, 0x4e2ef702, 0x56867de0, 0x616fefd8, 0x6652328f, 0x859dc143, 0xddc3639f, 0xa9b5f20b,
+    0x3a28b70a, 0x0d82241a, 0xc819415d, 0x07132fe9, 0x3953dfb2, 0xce003cdd, 0xf86168d2, 0x274212fa,
+    0x770f7bc6, 0xca949eab, 0x6926cc52, 0x2706c82a, 0x15b2554b, 0x04d38ad0, 0xe10a2b81, 0xcf4cbeea,
+    0x17101872, 0x46b98ce6, 0x3f92a135, 0x1cc591bc, 0x6276854e, 0x180a3cb1, 0x52f346c3, 0xc766b4b1,
+    0x064e308c, 0xc7933de2, 0x22ad48df, 0x238ef928, 0x433cf9da, 0xa1bc3bb0, 0x327e065d, 0x94803192,
+    0x0bc10030, 0x361d8514, 0x7414d4b7, 0xe856af94, 0x609d74bd, 0x689edc0a, 0xb16c433e, 0x1f88e869,
+    0xd562872a, 0x6349e82d, 0xc9a5a969, 0x162b5506, 0xb4677a7f, 0xa4fa1a7a, 0x16dae37d, 0x4a64a476,
+    0x7841884c, 0x7434711a, 0xbb0d5155, 0xc112eb80, 0xf71aa21f, 0x88cc27c6, 0xd9ccfb18, 0xa4ff3267,
+    0x2f9a440a, 0x8491dfec, 0xfa34f99c, 0x67c952f0, 0x7bc485f1, 0x294d78c1, 0x0e09c594, 0x06636e53,
+    0xb575f044, 0xcf5358d0, 0x25dfc640, 0x2b3ff726, 0x8644fbad, 0xccbc1e90, 0xf2b9256f, 0x8e80d2d5,
+    0x993acebe, 0xe5cd5f98, 0xdfb42510, 0xb4bad704, 0xb0154206, 0x043da76a, 0xef9167b4, 0x83220cbb,
+    0x5999b2dc, 0x3be74766, 0x40562d91, 0x4138ee60, 0x10a64052, 0x6990f452, 0x22a9d31b, 0x6cd0b90b,
+    0xfb9c08f0, 0xbfda8059, 0xc7afe34a, 0xde838917, 0x12c2fc3f, 0x8d0ea409, 0x6b712295, 0x230b1540,
+    0xc86d27f1, 0x6baa9d21, 0x8083b8c3, 0x01464c25, 0xd2e49c1f, 0xf8fb3818, 0xb8b10166, 0x8ae935eb,
+    0x9637dfd1, 0x39879ff7, 0xc3d41eac, 0xaac453a0, 0x9011f297, 0x31a2e87b, 0xffecc368, 0x786107ae,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000549755813888 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2b, 0x6587b431,
+    0x00000000,
+    0xed9a6a80, 0x015ba4e4, 0x0729cefa, 0x12110eec, 0xa75414e4, 0x56cb3514, 0xafbdaed4, 0x4709288c,
+    0xfe991a72, 0x9fa36c47, 0x2db7e35e, 0x30c8f253, 0x72351b68, 0x8f1ff2cd, 0x1530a74d, 0x87c58be7,
+    0x61055aa9, 0xc35d337c, 0x11d63cb4, 0x224816e2, 0x24999665, 0x68100fe9, 0xb069d6d0, 0x49e517e7,
+    0x3b44c2a9, 0x0b6fed9e, 0xfbe813ce, 0xdb0b8623, 0x712bc958, 0x98432b4e, 0x677adf17, 0xb42d4a5a,
+    0x050e9204, 0x3c0a471e, 0xc6a96b1a, 0x2126b68a, 0xaa4adf59, 0xe0d86596, 0x3eebc9b4, 0xc146cd5b,
+    0x878c9662, 0x21c92351, 0x9ba6a860, 0x8845b850, 0xc30f6e12, 0x08356f96, 0xa489ebcc, 0x61b776cd,
+    0x55f8e066, 0x1208e2be, 0xce99b089, 0xed05d8d8, 0x4891fdcc, 0x86e87ad6, 0x7d744abe, 0x7574e1e1,
+    0x4680b9ac, 0x66566434, 0x80e0f26b, 0x719459fc, 0x09d96411, 0x6af39431, 0xc7be7488, 0x7dcfe242,
+    0xee80bb57, 0xf8bb5693, 0xc415e6cc, 0x5cbfc139, 0xe76a3039, 0xd8bb97fe, 0xfc7e673b, 0x67823bab,
+    0x7be0f5f2, 0x55993037, 0x630a90da, 0xa3df657e, 0x7821c6dd, 0x5ac460b4, 0xa006ca51, 0x76eeffa3,
+    0x68d9a13b, 0x11a71d02, 0x7652becc, 0xc876d2e0, 0x8337ad45, 0x9fd20736, 0x9286add7, 0x1feca427,
+    0x49487b1f, 0xb637e1f7, 0x8974346b, 0xfa25fa31, 0x214f8dfb, 0xc449e659, 0xc0697520, 0x9f2f2377,
+    0x82fe1f50, 0xd930a057, 0x9e5072ee, 0xc95cce91, 0xce261989, 0x2ff1d890, 0x671d7ce8, 0xfe9cc44d,
+    0x789af545, 0xe440a6b7, 0x7e793fc8, 0x1f594f2a, 0x67489f27, 0x78f147e3, 0xc8b72c8d, 0x3aa4de3d,
+    0x5be5b02a, 0x97e74dc1, 0xd42a0cd3, 0x6945a7a2, 0x3b77eb17, 0xbcd2801c, 0x490e3f50, 0x8f4aa5ab,
+    0xa11ee574, 0x1e77e20d, 0x6f6c30b6, 0xdd51cd75, 0xf89686ef, 0xacb42243, 0x8cd0c8c2, 0xe9196c25,
+    0x4e3b22f0, 0x658dab00, 0x31991b05, 0xb1a75ec9, 0xef437a41, 0x73beee9b, 0x7cd3d538, 0x721e09a3,
+    0x42d4c7fc, 0x3f3bbcaf, 0xeb26d795, 0x6b6efd13, 0xb79b2682, 0x54b561d2, 0x08f906f6, 0x6f87b992,
+    0x9edaacd9, 0x15cd2c03, 0xb5a29655, 0x5de200e1, 0x5a9c3830, 0xf340cffc, 0xcf6af9d4, 0x5c37d708,
+    0xd6eb10c9, 0x05aa4322, 0x0cc9a53f, 0x2842ab0a, 0x5663e69f, 0xc89d46b4, 0x29590ab0, 0x1145806c,
+    0x1bdfa4f7, 0xbe8acb61, 0xde7ee6d0, 0x4c221b66, 0x7a714a6e, 0xcdabffb2, 0x7889e671, 0x489ceb35,
+    0x2c19f774, 0x9b254eef, 0x55765eb2, 0x34494d37, 0xde886b40, 0x5e93f8a3, 0xad2918b4, 0x0791dd49,
+    0xd2ee6324, 0x3087c689, 0x7f8f042b, 0x8fe55f04, 0x93ad1edf, 0x01794e14, 0x672b1a0b, 0x247b3f1c,
+    0x6aecae50, 0x1b696db4, 0x4350d3a1, 0xc4384776, 0x2124c02e, 0xf9c38fb4, 0xd45862da, 0xa37abdd9,
+    0x29591d2a, 0x5d353034, 0xe9e3d25b, 0xb710fafb, 0x58621677, 0xad455667, 0xf37f79f2, 0x3d746204,
+    0x41d7acf2, 0x1cc6f548, 0x1f50be30, 0x995fc9d5, 0xe2ae0607, 0xaaf97956, 0xb79a7b61, 0xc174e905,
+    0x3c6d150d, 0x9bf7d588, 0x517eaa08, 0xdd29d8eb, 0x03ae453e, 0x740a2c5b, 0x6f5e0d6b, 0xff77bc99,
+    0x3bd7bcb1, 0x3c092460, 0x5a1e39c5, 0xcdb59daa, 0x0aa3afd7, 0x07a2375f, 0x495062d2, 0xbcf3eaf4,
+    0x51e97d75, 0x39647ba4, 0x93c15e33, 0xa7fa14b5, 0x837d966c, 0x0e7ceba4, 0x28b24505, 0x0d7781e9,
+    0xe4c64298, 0x88651476, 0x3314c6e1, 0x21820899, 0x39b761da, 0x1be99f2f, 0x11658b25, 0x53aeeccb,
+    0xe2ce29c5, 0x90f8cccb, 0xe1b34617, 0x9db7d79d, 0x7857c524, 0x5dfe6c53, 0xb6a131f1, 0xbd04424b,
+    0x28af7f75, 0x5617011e, 0x52432f2b, 0x8a5b1db2, 0x00e5c957, 0x790b1491, 0x7698c0df, 0x289f11de,
+    0xa946fe94, 0xf32767c2, 0x3f8b7d21, 0x9cee37f4, 0x1cf86adb, 0x0674d7de, 0x9b20483e, 0x0b1a181d,
+    0x6476614e, 0x049b172b, 0xd13d7adc, 0x475715d8, 0x76647ff3, 0xecd5bc63, 0x381d2e02, 0x30d9faa0,
+    0xdea37866, 0xfa9df1ba, 0x42927815, 0x15be57e8, 0x45c0314c, 0xdc42a067, 0xe3de6da0, 0x9adfb481,
+    0x247ca9f9, 0x0703c45e, 0x593dc1ae, 0x3ed53a43, 0xb223c6bb, 0x91f52b7b, 0xead9a317, 0x0e8fecaf,
+    0x888a7967, 0xa34ddae7, 0xeb4d0d8a, 0xeb7ff098, 0xacfeedeb, 0xd14c3c34, 0x9be3d84a, 0xbf48377d,
+    0x53379f59, 0x23b9aa7f, 0xab6369b1, 0x540b2b66, 0xe21c91c8, 0xbd916e6b, 0xb2d482cb, 0xcef0d5cb,
+    0xf1d15e8a, 0x94458547, 0x6ea7f10d, 0x160cf32a, 0x7f845710, 0x597b5d01, 0x3b026088, 0x23cce180,
+    0xd381cf80, 0x5aedc4fb, 0x5cd83fbf, 0x615fe20f, 0xb8ef0d80, 0x168d855a, 0x796f9e3f, 0xf55611af,
+    0x44f28239, 0xa9c347b0, 0xd3a8de24, 0x77462032, 0x81682220, 0x9da66946, 0xea059149, 0x56d35a91,
+    0x1bb0adf5, 0xaff36c91, 0x8ff85905, 0xb7264068, 0x7520832e, 0xa8feb863, 0x236515f9, 0x188ea317,
+    0x95e9d6cc, 0x02e47cb0, 0x4cefa32b, 0xef9b58dd, 0xfa54e604, 0xa2ff1e0d, 0x6e55ea45, 0xe2988354,
+    0x36802ee3, 0xaa248791, 0xc87e10bf, 0xe12a3a6b, 0x83e27a7b, 0x44ced962, 0x2e9a2d70, 0x5f6825c9,
+    0x69ea0084, 0x2332986f, 0x296782db, 0x024fcfba, 0x7d4d08ca, 0x27068cc8, 0x9fb10fde, 0x9733a82d,
+    0xffd3cd25, 0x8fe1b909, 0x93a7e7ec, 0x108efca9, 0x70bdfe5b, 0xf59c9a69, 0xd92b1d28, 0x1406e5a9,
+    0xab0e9b19, 0x41b00797, 0x27f5e9dc, 0x717852a9, 0xec8e1a47, 0x9938db15, 0x4f0db931, 0x1134ce50,
+    0xa3c070c3, 0xaee062fc, 0x1b7bba5a, 0xc6139fa0, 0xdeea2fe8, 0xdecebbc8, 0xaa78a8b9, 0x1267e6ee,
+    0xabbafab4, 0x5097ac75, 0x7fb64ef7, 0x342a33ef, 0x19a756cf, 0x9a3a155d, 0x6a1a89b6, 0xa98a83bc,
+    0xa242bc89, 0x94b57ad7, 0x955709cc, 0xa5ba7e8b, 0x452eeaad, 0x107fe6ed, 0x9b694eea, 0xb93399f9,
+    0xbe304ab4, 0xc2b77460, 0x0532ff90, 0x3ab0e91c, 0x87cfa25b, 0x6b0aa2f0, 0xe89ab8a8, 0xd976f146,
+    0x9b13bbde, 0xf6a13144, 0x32fa71a4, 0x27673788, 0xd326a200, 0x1d8659d1, 0x7cbcfd06, 0xaf772a19,
+    0x01eba0e9, 0x4049ba5d, 0x71da4ca2, 0xcb09da3f, 0xd374ca3c, 0xfbe3da44, 0x828d6fe8, 0x71e53820,
+    0xbf40f18e, 0x8b6a82ec, 0x73a7f9b8, 0x08b10cb0, 0x22c5b200, 0xbc8c95e3, 0x027088d8, 0x5898f523,
+    0xb3711b73, 0x86d29a7a, 0xdf1ecb50, 0x12d52360, 0x7d1e790a, 0xf3e12926, 0x4b67e5e7, 0xb213f74e,
+    0x274a765c, 0x763e423b, 0x0a8e2cc5, 0xa668e9b3, 0x6774ce9d, 0x91b5cd7d, 0x829edad6, 0x4549319b,
+    0xeed6c843, 0x774f3e34, 0x0878a2e6, 0x76cd62f5, 0xd5766b4e, 0xe7e49a89, 0x88f3935b, 0x1fab4c80,
+    0x7793f768, 0xd03460f7, 0x67d5ab8b, 0xf560a752, 0x5587d0bd, 0xa62f20a7, 0x364a476d, 0x614945bd,
+    0x87cf9599, 0x9b96c232, 0xe4427c79, 0x3f835441, 0x7b5d3fb6, 0x61a0a6ea, 0x28b42b9c, 0xa78d800a,
+    0xf441711f, 0x23987e22, 0x4f89b698, 0x2582ef77, 0x096df8f1, 0xa1484067, 0x0ed4d87b, 0x82e60641,
+    0xebe0a74e, 0x7de4939a, 0x618a12b6, 0x957100fd, 0x9b05b053, 0xf75d44b6, 0xece17d07, 0x36c731bb,
+    0xd1441c4a, 0x2a38efa1, 0x72d02fb7, 0x71800a2b, 0xf8614348, 0x89eed616, 0x995f4011, 0x76a367f9,
+    0xdc4ae15a, 0x2238c415, 0x6aff9d05, 0x518f6cb0, 0x2e603807, 0x4ce0ae43, 0x1d914c70, 0x51c82ec6,
+    0x57b928a4, 0xb1b83e80, 0x3b94caa9, 0xaaf38969, 0x2b9b0f94, 0x58a409e9, 0xcf26e1dc, 0x001290f5,
+    0x380d7b11, 0x57582d46, 0xfe7477bb, 0x44815d74, 0x68a3f407, 0x9dba9ead, 0x97e8bbc6, 0x2cb9533e,
+    0x40791683, 0xa4c44496, 0xe8bfb9ab, 0xc127802d, 0x9877d40e, 0x8e0821f4, 0x16b054b7, 0xdc615dcd,
+    0x0be12fbe, 0x73266ee0, 0xa3fbedce, 0x79be1aed, 0xea8a22d2, 0x16182c8e, 0xedb201ce, 0xcddb2fb1,
+    0x5a4e4950, 0xd72e75f2, 0x42ba22b1, 0x1c69428e, 0x19a3dc3c, 0x6ff9783d, 0xad78ed1a, 0x994a2d6c,
+    0xdc90ee1c, 0x8c2fd81c, 0x092b0fb3, 0x5aee097b, 0x06d92dcb, 0x77512ff1, 0x451d404c, 0x6c4673d5,
+    0x41b22c0d, 0xe5e243d7, 0xe5c5f802, 0xe8717ec1, 0x36a06052, 0xce58034a, 0x5a75d992, 0xb8c08f85,
+    0x5ad523ba, 0x2d74ccf1, 0x54d0fa4d, 0x018a5dda, 0xcbda3d01, 0xfc4edbe3, 0x510282d7, 0x5553bbb5,
+    0x583e44dc, 0xfcc82e61, 0x5a5136f9, 0x69781c32, 0xbd40cc21, 0x9139ed23, 0x101eb57e, 0x218600f6,
+    0x4ce71e68, 0x14ad546d, 0x3702a307, 0xbcd76f23, 0xc781e0cc, 0xe741e9fd, 0x55527251, 0xc1d9c68a,
+    0x526b7954, 0xf6a2342f, 0x35eb044b, 0x45fb3ae9, 0x744305d6, 0xf36bfa4e, 0x632ffc00, 0x760350c7,
+    0x08ab73db, 0x4ff6b827, 0xb8de67d6, 0x3315347d, 0xbe66beb8, 0x5b12ef74, 0x2868f7fd, 0xa433926f,
+    0x5f26a4b5, 0xdb7633d1, 0xd31ae19c, 0xb61a0630, 0x0459b606, 0x2264d291, 0x7a224228, 0xb846d700,
+    0xc6f99800, 0x7d4f1546, 0xac397ab1, 0x833d4ca4, 0x7bad104e, 0xfe8376bd, 0x56015d16, 0x519d7e54,
+    0x7c2800fa, 0x528b901c, 0xc5c6fa81, 0x680b2291, 0xe5081462, 0xb6671d6a, 0x702a31bc, 0x2ca4306f,
+    0x9e31d2d8, 0x471ee0fc, 0x7c6621f7, 0xe24bd604, 0x832649ab, 0xfa2ec7e1, 0xdf535168, 0xc3372f68,
+    0x0e65353b, 0x09a63c67, 0xac7a2dc4, 0xd7803532, 0x90cad2ae, 0x9f34eb12, 0xc42fa984, 0xf0906c15,
+    0xbcbca700, 0x7ff3c624, 0x8861c935, 0xc3367251, 0x978fe13a, 0xdc94d7b3, 0x3f4eefa0, 0x28dd7a31,
+    0x1bbf1a4c, 0x30a74d02, 0xdb397fc2, 0x9a962a22, 0xa15a9d66, 0x27261c3d, 0x827e27dd, 0xddc04fc2,
+    0x020fcb96, 0xc3547b92, 0xf0d85bbe, 0xc39c5029, 0x1057ff0b, 0xab843ce0, 0xfe75a982, 0x485a22ee,
+    0xe209c117, 0xd07264d7, 0x34dc008e, 0x26b89dbe, 0x013caf76, 0xe3d62142, 0x2bd50c71, 0xfc0f202e,
+    0x18c25f4d, 0xb9cd9524, 0xcee2beca, 0x9e3b4a3d, 0x7e325e23, 0x49d9aed5, 0xacb4c4c4, 0x38caff6c,
+    0x1e78eb56, 0x5107d638, 0xb740e1da, 0xa95d55c1, 0x0e11aa40, 0x8f36529c, 0x06f120c1, 0x7f1ca51f,
+    0x1bbbf8f3, 0x77794474, 0x2e01db46, 0x81835e4f, 0xaa5b455c, 0xc16820e2, 0x1353090f, 0x5b0f59af,
+    0x739087c7, 0x5cf5c21c, 0xb565a0e1, 0xddb96404, 0xa74cda9f, 0x3c0709b5, 0xf9ba706a, 0xc0a2d5c7,
+    0x792b8ead, 0x5cfbd3a5, 0x3bfd8b20, 0x4e9912bf, 0xe5dacb60, 0x49bbdee1, 0x50ee272b, 0x9ac93049,
+    0x5742dc30, 0x90054f53, 0xb5651004, 0x47f3c96a, 0xa6eaae60, 0xf56b47db, 0x202ae7f9, 0xf30e1001,
+    0x11394be0, 0x422cedb1, 0x4968bae6, 0xf5ebb389, 0xaf242c40, 0x088e0f80, 0x387495c8, 0x79086da1,
+    0x417f87a1, 0x450dd440, 0x8dba1451, 0x30a93c3f, 0xe4c72e1e, 0x2a2934ac, 0xa7fc2e16, 0xb16af603,
+    0x504d596c, 0xc9650b0b, 0x7c2baf60, 0xf9f18973, 0x2b430ed1, 0x70b075c9, 0x7176ef1b, 0x3dc2ca1e,
+    0x9773e596, 0xe0609ce4, 0xf49e0e05, 0x8f7af317, 0xb9981df3, 0x43e988ed, 0xa55fda5f, 0x40aeec8e,
+    0x4417fb4f, 0xb1e71467, 0x57a31864, 0xbe3fae15, 0x6e681b94, 0x04eee454, 0x18096fed, 0x5d1d99cf,
+    0xafdb2748, 0x91a5b223, 0x738c2765, 0x8b86245b, 0x31b977a6, 0xdfec4bb8, 0xd339aa26, 0x31bc6900,
+    0xaa785ae8, 0xd94eeaac, 0x47f9fdaa, 0x25703e39, 0xe1cd2cff, 0x86828a03, 0xebf5d573, 0xffa8c093,
+    0x6ef27504, 0x35a7cf9e, 0x0a3f0d10, 0xa177a3b8, 0xa71550da, 0xd7764339, 0x4ef3d26b, 0x34873fb6,
+    0x132a43fc, 0x6de189fa, 0x113d27c4, 0x2e89a394, 0x62ee205c, 0x8cab031f, 0xd5498827, 0xe8ba22e1,
+    0x7681546c, 0x0cf54241, 0xcc14340e, 0xc3470e3c, 0xd369cbd1, 0x713f244a, 0x54148d53, 0xe478e7db,
+    0x228570e2, 0x31c88630, 0x5d34d828, 0x0188dd7b, 0xa79ac705, 0xd785a171, 0xc82c7a0b, 0x2bd8234f,
+    0xe7c51a5a, 0xa6b11e5f, 0xfe1f8917, 0x94e3844e, 0x4c36d4c1, 0xbad946fe, 0x4a02d425, 0x438e3dd0,
+    0x9360daf7, 0x12f7056f, 0x78c9021c, 0x714829fa, 0x548aad15, 0xdbb98e28, 0xcc5fb8c1, 0x4408d58a,
+    0xec172c7f, 0xb8859915, 0xfdeccf9f, 0x7bcc2721, 0x459de73b, 0x65dda160, 0x92be4ed4, 0x11498990,
+    0x54814ab8, 0xb1f052ea, 0x376a0940, 0x6927da24, 0x9255e72b, 0x2f5427dc, 0xe284c81a, 0xd8daa620,
+    0xcdc15a5c, 0x2d17e307, 0x7609dd98, 0x37f8c638, 0xa3b84bc1, 0x57bfb35b, 0x6014fa4e, 0x1596ea36,
+    0x8d028010, 0xf4a2bbb5, 0x0444cec9, 0xf85df87f, 0xebf21af0, 0xd7de4106, 0xdf800ac3, 0xf1d6becd,
+    0xba8349b9, 0xbd224870, 0xbe644992, 0x2d306c5c, 0xdd11b7b6, 0xce6767de, 0x44467068, 0x5cdc0f5b,
+    0x374b137d, 0x36f20267, 0xe13971c1, 0x34331301, 0x6375ab1e, 0x43860b52, 0xd32f81c4, 0x3180d5f0,
+    0xa507d794, 0x846605e3, 0x3c8e2035, 0x37439875, 0x6987bfce, 0x386ddaf9, 0xd805352f, 0xac326abc,
+    0x5ef0da08, 0xf5ab9a36, 0x32b112e4, 0x3bd8878a, 0x1526e375, 0xba40aeaa, 0x2746ac4f, 0x1d3bd721,
+    0x477961a9, 0xeb70ea7d, 0x946becf6, 0xe5dd6ac4, 0x31a5bc48, 0xdb8cc180, 0x75856e32, 0x0e47aa06,
+    0x06061902, 0x4b76deea, 0x093cefbc, 0xfe0798e7, 0xc8e1258e, 0xcb0b7d6a, 0x29cd2dbc, 0x1d168f07,
+    0x143eeb1a, 0x88f84cda, 0x5ed3f81f, 0x8eb3e679, 0x54adace2, 0xf5975069, 0xd23e15c3, 0xcd957204,
+    0xc25898d2, 0x37a33c6f, 0x5a112a4c, 0x5a8600ff, 0x5d65aaed, 0xdc1e201a, 0x46181641, 0xf5cd8504,
+    0x8a7e2daf, 0x245e2a5e, 0xde1ff30f, 0xa611bd73, 0x602151a9, 0x6ff4a376, 0x348ed347, 0x5cdea527,
+    0x1c63ea7e, 0xe5b7b229, 0x3b070412, 0x7c26d575, 0x01aa4be7, 0xb60ea556, 0xf39cd488, 0x73c4ca8a,
+    0xa0154bbe, 0x9991480b, 0x45798926, 0x8e5e5eb3, 0x843c5569, 0xa79d2bff, 0xa313abc4, 0xe3e4f45e,
+    0xac3b0ebf, 0x17535600, 0x5acedf77, 0x4c0f70de, 0xf16ffa72, 0x9d53e98f, 0x78e80bdd, 0xbdb9acf2,
+    0x51130b00, 0x5179a45f, 0x4b8abfc9, 0xe23c3bed, 0xfa74f286, 0x9318402c, 0xd650cdcf, 0x1bd23a80,
+    0x4941539c, 0xc1113abf, 0xda9753da, 0xde2d0d88, 0x757d2503, 0x0a749a78, 0x96b02c93, 0x7f7285e3,
+    0x590c19ed, 0x82edcb5b, 0xc348903f, 0x997c0ba9, 0xbab9adb7, 0xb52accf9, 0x714003ce, 0xab9d37fc,
+    0x1af70831, 0x4326affd, 0xc2dc4014, 0x2ca2f737, 0x484e2cb5, 0x75bf127a, 0xcf4f177f, 0x9931ef33,
+    0x68a8a3c1, 0xd9160dc3, 0x5c152bbe, 0x0bed6acb, 0x54f19c78, 0x99b50725, 0x3db35a3e, 0xaf4d3e3d,
+    0xed8fff80, 0x01c8ad3b, 0x1f579825, 0xf028b31b, 0x14485ca6, 0xcadc55eb, 0x8edd33a9, 0x513924db,
+    0xc9bbbea8, 0x247e4b60, 0xe70bec72, 0xc3c1a7ac, 0x8bce6f29, 0x78b06f6a, 0x8f764392, 0x43b04fe6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000274877906944 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff95, 0xb2c3da18,
+    0x00000000,
+    0xae64d20e, 0x243f7c06, 0x9b1e741f, 0xd073d65d, 0x40eb1279, 0x996e3051, 0x6bc39569, 0xe65ed391,
+    0xcfaca788, 0x05591d9f, 0xbb783375, 0x9f0d69b9, 0xaffb3791, 0x7883060d, 0xfb06f10d, 0xfa2cabde,
+    0x003d7eec, 0x0d272b34, 0x2aa5cfa8, 0x32e1b08b, 0x20dff5c0, 0xa3d98741, 0xd48a2767, 0x5ae9aab7,
+    0x26392309, 0x88725b0a, 0xf23b4d86, 0xaf1211f3, 0x85a48c14, 0x4a6e22a4, 0xce81a48e, 0xad1b1c58,
+    0xc9ed463b, 0x90ebc39a, 0xc30c721f, 0x56e6dd04, 0x53024806, 0x1ab723d6, 0x20b42c51, 0xa11a2eb6,
+    0x3021a642, 0x1d2662c4, 0xb90d69eb, 0x732e07ad, 0xf0914700, 0x03e1bc4a, 0xf64331a3, 0x45ff1f4f,
+    0x8ffe4c9b, 0xbb3314bb, 0x7e11fdd0, 0x9a93aa16, 0xabc38086, 0x07c1fa27, 0x7cf60654, 0x4473e06f,
+    0x118eba72, 0xe7fc4197, 0xf6b59d4a, 0x0714a06a, 0x3bed6d30, 0xb6bf87d4, 0xa6cff531, 0x9da741ff,
+    0x974ee92f, 0x94885821, 0x066be6f9, 0xd3fae5af, 0x030fb64c, 0xf8b14e02, 0x3ffbdc4a, 0xd01270c3,
+    0x8f8c93a9, 0xcf6fdffa, 0xdd4ea1a5, 0xb06cccff, 0xfc9ab8d4, 0x07224f4d, 0x1bc0a58c, 0xff33eb2f,
+    0xdee38ed2, 0xf15656f9, 0x23160c7a, 0x68a42808, 0x86568622, 0x219ab873, 0x9a07bfb7, 0xe84359bf,
+    0x9c13278b, 0x7d023b13, 0x169a7aa2, 0xc55db73a, 0x68ea4588, 0xceeb453b, 0xf5cfe80a, 0xb5aba017,
+    0x9ca74e37, 0x2ad6b5e9, 0xfe448dc5, 0xbda5fb4b, 0x5e80b875, 0x382ecd3f, 0x77af1a30, 0x051d4558,
+    0xd56f65f9, 0x0c68a1a9, 0x65b619e1, 0x48d701a8, 0x96831c55, 0x532eaff8, 0xab83997f, 0x1d759c72,
+    0x4b096b7e, 0x5300bbb7, 0x92108926, 0xf3459304, 0xa5b571de, 0xec03252d, 0x08b1530a, 0xb74d8f1a,
+    0xe2b1d541, 0x847cc703, 0x5210d744, 0x5d05beb6, 0xe51edc32, 0xd37b23c1, 0x318734a8, 0x33ea05a9,
+    0x7c4bda2d, 0x1b4650ea, 0x4823f243, 0x48a35e85, 0x70f59503, 0x95680c63, 0xe7ab02a3, 0x7a19c129,
+    0xbaf885af, 0x67094408, 0x820f30b3, 0xf4244d30, 0xe3d0cf03, 0x695b4622, 0x12eac2e9, 0x89508517,
+    0x9ba31195, 0x64b83e9b, 0xf7648ad8, 0x5473d056, 0x26e0f27e, 0xd1a5fce9, 0xd2876e9b, 0x33955ba4,
+    0xcef6b007, 0x06a2ddcf, 0xe7f658f2, 0x4509a5f6, 0x1a4f08ef, 0xff9272b2, 0xff29e482, 0xb9e341e4,
+    0x096cd29e, 0x6f926bfd, 0x042bae96, 0xfc896844, 0xb9e1eb81, 0x1c26277a, 0x33a20c6b, 0x17b98850,
+    0xaca9f463, 0xde91166f, 0x062a36b4, 0xd5895086, 0xd69c0414, 0x21968dd8, 0xcfff79c0, 0x71242405,
+    0xb758bf9b, 0xb11ac730, 0x053ed2a1, 0x016b4635, 0x9acc3c6f, 0x258a6784, 0x531bd4ee, 0x1016ec9e,
+    0xd7e23e65, 0x5df256c3, 0xc2f1b3e2, 0x9b07afad, 0xbf35a3dc, 0x3e4151a4, 0x335b0785, 0x35a52ebe,
+    0xf49bec52, 0x912a3515, 0x2b4e2f90, 0x77f07bc3, 0x7aa57b96, 0x65c8fe67, 0xcf171d8f, 0x43586db0,
+    0x69a5e3d9, 0x1a8f6853, 0x6165298b, 0x0c40b7c0, 0x6cc25609, 0x1769c8d2, 0xaab3c4c5, 0x49e548cd,
+    0xcb55cd5c, 0xb30eb8c1, 0x075d4084, 0xfb48c401, 0x0e1eefe2, 0x7045ab29, 0x63a94612, 0x1466091b,
+    0x5d81eac7, 0x0f837b43, 0x56d2950e, 0xbf5036aa, 0x02b6bbd6, 0x40b20c15, 0x9ba3e10c, 0x0c002b27,
+    0xa7c47b28, 0xc851d3d7, 0x7caff678, 0xd3eb1eb8, 0x1981152e, 0xb2c5f567, 0x7f9ba4b1, 0x8d38c983,
+    0x3102b71b, 0xb7a727f5, 0x89588f30, 0xde5c1d9a, 0x2aba032e, 0xf1cd082a, 0xfad3e72d, 0xa0bae728,
+    0xdb1ce462, 0x759b9073, 0x62f2046d, 0x4616d7b2, 0xcf0140f1, 0x0fd0a072, 0xe5cd85a8, 0x4e91a90b,
+    0x6d1cdfa3, 0x43099cff, 0xa00f8b9b, 0x97156730, 0xbd2e3593, 0xd6d9588f, 0x5d544921, 0x600c2520,
+    0x9bc9d17a, 0xf494a9f0, 0x2a5c6c6c, 0xc82675e2, 0x8994a34d, 0xbf03355f, 0x317bf5f3, 0x3fda73d9,
+    0x09a780cb, 0xf38fba09, 0x511b636f, 0x9ca31197, 0xcd09df48, 0xc355be5e, 0xcfdb5092, 0x190f1cb4,
+    0xeff1e7b3, 0x6d46560e, 0x7eeb9515, 0x93f9cbf4, 0x5384ae7a, 0x68ef7683, 0xa004043b, 0x18e66e68,
+    0x404dbfe2, 0x4776eb20, 0x81446bd0, 0x904cff37, 0xefeffc4b, 0x45f53fd4, 0x50ec6f41, 0xda1e0990,
+    0x92a34f2f, 0x964b2c2b, 0x4610f006, 0xec10bec5, 0x6e2678e9, 0x51f9237c, 0x416b75d7, 0x4a80d124,
+    0x5622adca, 0x5556d579, 0x9fd3f709, 0x409cdf6c, 0xa8ffb64d, 0x39beee35, 0xa7e2fd40, 0x38fe4c99,
+    0x3bb9fdc0, 0xb3f8952a, 0x594f3f9c, 0xf9a43eb1, 0x750c8c9a, 0x0cee64b1, 0x69f049ad, 0xfcd96bcc,
+    0x2360ee07, 0xa1c3f153, 0xb52e2a80, 0x2a630dd0, 0x9e0bb8db, 0x67093e02, 0xfbaacd8b, 0x55a4c928,
+    0x6d8db123, 0x50a51e0f, 0x7dfcdccd, 0xc14b70eb, 0x58de0388, 0x0e4819d1, 0x7ca09a09, 0xdceb720a,
+    0x154a741f, 0x82f70835, 0x27981f92, 0xe63d2fde, 0xd8c4bf0f, 0x507072dd, 0x8b7d1182, 0xdcec027a,
+    0x69917b4d, 0xf25d14e7, 0xc3b2c972, 0x1a0275b5, 0x88d1a8b8, 0x0c53cc97, 0x9b01194c, 0xa7348341,
+    0x294475e4, 0x189ea416, 0x783779e1, 0xcd0206de, 0x1a4c186d, 0xe52d49e8, 0xb76f0760, 0xca4568e5,
+    0x5092406f, 0x9b494ab2, 0x41b7d6bf, 0xf4304aba, 0x05835a24, 0x0fe7bf67, 0x14674eac, 0xe02f4151,
+    0xf36d43e1, 0xf7a2a3d9, 0xd8e3f654, 0x3526d902, 0x6cf71aa6, 0x884969ff, 0x26217ef4, 0xff1999b5,
+    0x9ca99ebc, 0x793fc7f7, 0x727821b3, 0x3225778d, 0xd3c38734, 0x1a7fa255, 0x47860eca, 0x7054e145,
+    0xde56e060, 0x93dbd834, 0xb82d0b50, 0xb8da9189, 0x9f963368, 0xdb453380, 0xf541a2cd, 0x61f4285a,
+    0xe747df1d, 0xd0b5d5bd, 0xb44a3644, 0x8284b2b2, 0x539a1ff1, 0xdc05b43a, 0xf53ad3ba, 0x76dc515d,
+    0xe58f9c8d, 0x884c538b, 0x3bd044c9, 0x368d0872, 0xe50a8401, 0xc185aac6, 0x18458b76, 0x53f57378,
+    0xd7402bc9, 0xa8796651, 0xffd4a123, 0x427d0db5, 0xc9983e11, 0x72be55a1, 0xab58bf83, 0x850e6ffe,
+    0x27642683, 0x38a2c751, 0x88f8b0d5, 0xa869d27d, 0x1164bec4, 0x6283054d, 0x2320c5b2, 0xd792b4ed,
+    0xfad2dd09, 0xd40d448b, 0xa860a971, 0x64a32d55, 0xcf644a74, 0x1d7d91f5, 0xb7ea546b, 0xf82bb72f,
+    0xc4042df3, 0x970290d5, 0xeedd6bfb, 0x28db3e4a, 0xfb094937, 0xa4105fe4, 0x03b15815, 0x66b02a83,
+    0x3b623a41, 0xfc5d72dd, 0xc99c26a6, 0x9fe4dce3, 0x98a98714, 0x8fb979ff, 0x23d56488, 0x3fa2653e,
+    0x1ff54b53, 0xe2c2dc93, 0x4cf0f95a, 0x24456936, 0xc51c548b, 0xce8ff50e, 0x2062bc8d, 0x0b7807dc,
+    0xdbe887a7, 0x19812f4c, 0x094d10fa, 0xb7d32f98, 0xf50bb9f9, 0x4cf30915, 0xecb1e4f5, 0x58748eaf,
+    0xc5f7f200, 0x30d6134c, 0x7b4acb6b, 0x0f931fe9, 0x3c18fc77, 0x287a5a04, 0xde49793c, 0xd8bf0091,
+    0xbbc35d26, 0xfd53e7c5, 0xf4ba0aae, 0x6000e3da, 0x287b3167, 0x0e60de64, 0x8c8de476, 0x6b0447be,
+    0x16dfb6f9, 0xe373ef5e, 0xc7290fc7, 0xff1d8217, 0xd1f5ba97, 0x438c92a1, 0xfb36ffa9, 0x2295da43,
+    0xe0bc6e92, 0x062c69fb, 0x5544dd0a, 0xbf54227d, 0xc21e2f7f, 0xb5b37113, 0x32068b27, 0x9b4ad48f,
+    0x03436a19, 0xf179b5dc, 0x526dcf7b, 0x622bbfe5, 0xeebeb443, 0xc4690db5, 0xb30243f2, 0x1883727e,
+    0x48e47fd3, 0xe310f63f, 0x1e328e3d, 0xd2693ad2, 0xd239b5b5, 0x4ac8c390, 0x771c432c, 0x9bac0a29,
+    0x0ee4f85e, 0x9a843c9b, 0xa618c26f, 0x90246aa0, 0x02781d84, 0x6e2fda8a, 0xf2483805, 0x625ab78c,
+    0x1f91d055, 0x97e6db7a, 0xe3453308, 0x7bb1a6ee, 0xffb579fc, 0x4e512691, 0x0d6d1623, 0x87be1fbc,
+    0xab103283, 0x14a97a1e, 0x6c519ae4, 0xaeea280d, 0x738f861b, 0xf47334d2, 0xc23abeb6, 0xba62b780,
+    0x430ad6e6, 0x5ccc8061, 0x5c01b56e, 0xbeb0c63e, 0x71fcd292, 0xdb05cf5e, 0x132900db, 0x9b37d47d,
+    0x1efc6d54, 0xba5183f3, 0x3b574e23, 0xe353bf2d, 0x50991201, 0xd9eb7778, 0x1a4e084d, 0x518a74aa,
+    0xfac49a34, 0x9fecd02c, 0xa3b6682d, 0x00c2bbd1, 0x56f54942, 0xc5f580cb, 0xc4008b57, 0xbba54686,
+    0x488d1220, 0xb7a552fe, 0x8b35906c, 0x422d6915, 0xaca0b4f2, 0xc0a5da43, 0xb43a62c9, 0xe0b77144,
+    0xf71326d7, 0xc33671ac, 0x2fbf5168, 0xd1ed99ca, 0xede0032b, 0x4b961027, 0x47c25d96, 0x22984466,
+    0x9d38bd30, 0xb73d062b, 0xe550c0ae, 0x7e7ab5a8, 0xfad09606, 0xf5ca92bd, 0xdfdec304, 0xf30612a1,
+    0x10cd80ca, 0x80b7a2c6, 0xd4b135c5, 0x07a2b29c, 0x07f8087a, 0x449910fc, 0xaefa6d49, 0x301e003f,
+    0x0c3cb676, 0x1b311c59, 0xd64b8cc1, 0x964915e1, 0x77b1953e, 0xf6613bfb, 0xd15f47de, 0x49a494a1,
+    0xffbbe3b0, 0x3267bc99, 0x5f5394a2, 0x344f848d, 0x5b23c0cd, 0x552fb32d, 0x6bb71b7e, 0x61ece0b2,
+    0x69a954f8, 0x4e4e1e3a, 0xd1da3204, 0x4716ee4f, 0xd99ef8fc, 0x8b4cc139, 0xcacb5713, 0x97e09e89,
+    0xe33bfdd4, 0xe99c2b31, 0xe25ef6f6, 0x6872cdd1, 0x92f332b3, 0xb339a770, 0x28579273, 0x2db2b330,
+    0x66fd8bea, 0xb19dcfbb, 0x2b83d2f5, 0xf4233ed6, 0x5d87af1b, 0x6d5124bb, 0x5bf53ec7, 0x3bade260,
+    0x49ba7d4e, 0xd4b08c96, 0xe944b8bd, 0x60a73e2e, 0x8794b2d7, 0xbeb859a4, 0x0b8f71e7, 0x3e7bf722,
+    0x18d89411, 0x804a6333, 0x11bc6e27, 0xb84f7ead, 0x16994aef, 0x2f3fe404, 0xc5ee77d1, 0x938d8908,
+    0xd7d77089, 0xf66c6120, 0x1d19c1fa, 0x03295e5f, 0x17e73740, 0xbc2e36ac, 0x7d6e97f5, 0x0dc9471b,
+    0x8db2ae29, 0x3f275fea, 0xa780bec5, 0x338f2e2a, 0xeccbc5c3, 0xe03d47d9, 0x8c9e76d7, 0x781dd095,
+    0x88d0a9ec, 0x7f47e082, 0x0c3375ce, 0xcf17eb47, 0xa731fdce, 0x4122b5a8, 0xec80ae35, 0xb00c8131,
+    0x719d7d8c, 0x918f1cc2, 0x74439cf8, 0xa4a0f17d, 0xbfdd576e, 0x4fde050d, 0xc1d29577, 0x7e33b949,
+    0x3638e202, 0x5b985d79, 0x837fa8f6, 0xa1749867, 0xc0890fd3, 0xaa285ce4, 0xd688b12d, 0x44da2898,
+    0xe7c58ae4, 0x2f6c261a, 0x5fa86a9a, 0x325be85d, 0x7bfd211f, 0x43dc1f93, 0xff5c2bd4, 0x21ef2426,
+    0x25c2b977, 0x598346b2, 0x7aa7cb48, 0xa2dd0743, 0xfac9dbd6, 0x27eabecc, 0x12c475a5, 0x8f1dbc8c,
+    0x65a66ad8, 0xdf5ef820, 0x7b48d6e2, 0xa8c4376d, 0xfd8435e3, 0xd39af23a, 0x845e10e5, 0xd3338473,
+    0x5c6615f2, 0x97403c01, 0x0d71a321, 0xff5bfb68, 0x2993d65f, 0x5c3760ae, 0x63452505, 0x0818c368,
+    0x78f1ed9b, 0xff9ef7c7, 0x3dbfe0e7, 0x5f82b22f, 0xba33755c, 0x098dcc93, 0xe3af7961, 0x8b094045,
+    0x5a62996c, 0x86c93d4d, 0xfb88e725, 0xe5c8105b, 0xc5fdc83c, 0x07dec34d, 0x2b05e782, 0x4448df86,
+    0xc3bbfe95, 0x847db737, 0x977c02c6, 0x91928a04, 0xfd14cfe1, 0x9d4b735d, 0x24e7230f, 0xf1e97832,
+    0x50e6b2a9, 0x6b7ab32b, 0xb8654cb3, 0x4f80ce75, 0xdf74925c, 0x110927e2, 0xb3b9747c, 0x002feeca,
+    0x31b12ec0, 0x58eb1b57, 0xa8c5ceed, 0xe5d9c0b8, 0xcd8c7aec, 0x6250fec5, 0x5a08b8dc, 0x0ff76aca,
+    0x8cfe4f01, 0x04250892, 0xb8aeb3eb, 0x15efd5fb, 0x38896ea1, 0x1d729c53, 0xf708044e, 0xf17c899d,
+    0x9c80f4a8, 0x9dc196ea, 0x20c248d3, 0xf321c0f9, 0xc98325c1, 0x4ff42b08, 0x958c925b, 0xbf1e3f5a,
+    0xaf67016e, 0xcb233e84, 0x707daf8f, 0x62b8f5bb, 0x98700e3e, 0xbe452bcc, 0x017eea8f, 0xab660ed2,
+    0xa07c651b, 0x3c615cc6, 0x4bc7ecde, 0x49a2de83, 0xb69d3064, 0xdbb5e6d7, 0xf41696ae, 0x10b4f946,
+    0xe93851cd, 0x3c47ac82, 0xb7c90785, 0xd7166397, 0xb5ae9246, 0x096a1c5d, 0x89eac73a, 0x92211bac,
+    0x1f36c71c, 0x1ba0c0a3, 0xf77a4dff, 0x720f0abf, 0x8746889f, 0x722d71d1, 0xfee2e53b, 0xf49cec1c,
+    0x200c6a03, 0xc59c23f5, 0xead2bd2d, 0xb25b7854, 0x39c99d5e, 0x3e6443fc, 0x75587327, 0xd129f44b,
+    0xfff451e6, 0x0e0ab189, 0xdd2f0c7b, 0x8a3730c6, 0x522c0eb1, 0xa1a8b0a7, 0xe93b5df8, 0x4a813845,
+    0x495918b2, 0xae48adfb, 0x3c9825de, 0x91eeead2, 0xce847173, 0x90ee68bb, 0xb5472e90, 0x85b97a6f,
+    0x615c070e, 0x12ae10f6, 0xb52ff26c, 0x958e71fb, 0x39bf7d03, 0x9c942580, 0x765117ff, 0x09a8233a,
+    0x3e3e73b3, 0x5b917259, 0xeed4a38e, 0xfbb33105, 0x17fa8147, 0x36f02f08, 0x608f1633, 0x48f6cc4b,
+    0x9c38bed3, 0x78476763, 0xcdd805c9, 0xd062cfd5, 0xe01672d3, 0x0966f9f4, 0x268d52fe, 0xdeb0ac1a,
+    0x3f95084c, 0xe23b9742, 0xa7753ad7, 0x9c0fb374, 0xe346a88b, 0x981542a3, 0xf6ed3520, 0xa99625c4,
+    0xec8d013b, 0x9d9cc2f2, 0x18ff141f, 0x41e70f06, 0x1bccabd0, 0x0dfb64dc, 0x4bea90a6, 0x8acb9705,
+    0x90f106c5, 0xc8b793cc, 0xfc4d82da, 0x034dea34, 0x661f8e99, 0xadc885a7, 0xec45c255, 0x64954c50,
+    0xf864607c, 0x3c4dbb2e, 0x0bf24308, 0xfeee9b99, 0xaab67f37, 0x26f6f4a5, 0xdf744b0f, 0x04a720e2,
+    0x7620fb8c, 0xc514e576, 0x433743c0, 0x630499c6, 0x809806df, 0x2b8bcf1e, 0x899afaf9, 0x009a4762,
+    0x50f40035, 0xfe0df3ad, 0x9088c902, 0x15d7a64e, 0x5a66184e, 0x8903abcc, 0x0417987e, 0x1e45bd92,
+    0xbe7366fc, 0xf12ac2af, 0x758c877d, 0x3547add5, 0x252f9bdd, 0x55cc9b5a, 0xc73d59fb, 0xeabe8ba1,
+    0x78209d77, 0x08238716, 0x354b60c3, 0xf19d75d0, 0x71499eeb, 0x0efc9f8a, 0xf63f5e55, 0x8eebfde4,
+    0x227bc5f1, 0x91311f27, 0x734bae98, 0x18faee68, 0x47d18772, 0x380112b4, 0x4b9c3bd2, 0xabe0a17a,
+    0x7a57c7bb, 0x5adfaaaa, 0xa761da42, 0xd4ef8519, 0xfc970ee6, 0xf19acac0, 0x444e43b5, 0x3a176cba,
+    0x29245ca7, 0x0f7eb75e, 0x9d522946, 0x06f5af81, 0x32da45db, 0x89020c5f, 0xaea04709, 0x48cb738e,
+    0x4a6ace00, 0xf89aec86, 0x267f3065, 0x8cbaad28, 0x60251a97, 0xdcfebbd4, 0x30d37d48, 0xf4e88630,
+    0x2d40e4c5, 0xeac55dcd, 0x71045a8a, 0x816e753b, 0x2878d8d3, 0x8b2e5737, 0x068afe00, 0x397b2a37,
+    0xfe4d10f3, 0x4e1ac8f8, 0x466e2112, 0xe66e35fe, 0xfbf3daea, 0x13b7c533, 0xe4ea15bf, 0x06148491,
+    0x042ce9b3, 0x04b12268, 0xe519cd1c, 0x0b3442a5, 0xacb7144c, 0xef9c551e, 0xdfe5c8db, 0x30aab5cd,
+    0x06b3fca4, 0x3391d6cf, 0xbc72fbe7, 0xc8f3ad22, 0x02a5ad4b, 0xb951a160, 0x9d166cca, 0xc60fb49a,
+    0xe71f4909, 0xbc7bddf6, 0x17fb251b, 0xceb9caa0, 0xaf2f1588, 0xb6b8770b, 0x220b5cc2, 0x3d29cd52,
+    0x207f93e1, 0xabe21492, 0x1d6abe53, 0x5e67e92f, 0xeaba0cb2, 0x0c09abef, 0xbeaa539f, 0x0954201e,
+    0xfef8fe8e, 0x1d6b4075, 0xbf679593, 0x888d660c, 0xa8906293, 0x497e3a94, 0xff45a70d, 0x4baee3af,
+    0x9573f480, 0xe1692f91, 0xe976b82e, 0xb6df547c, 0x9e89a3f3, 0xa5ca5b0d, 0x223f4c78, 0x22328ec6,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000137438953472 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffca, 0xd961ed0b,
+    0x00000000,
+    0xd34b0fcc, 0xf8380ae9, 0x9e4f0aa0, 0x855401ca, 0xe834030f, 0x0496bafa, 0x5294ab7c, 0x2dc3a973,
+    0x3491ff4d, 0x9e8e8938, 0xd2f443e3, 0x3d5e03d2, 0xa4a94781, 0x09ce988f, 0x2984cd47, 0xaebab54a,
+    0x60bd5e26, 0xe7c40217, 0x898ad2a1, 0xdb50d154, 0x44e0def5, 0xa583a18d, 0xb08c10fa, 0x862390e9,
+    0x7a09395d, 0x9ce10566, 0xd58f8928, 0x59b5bf07, 0x44787ce1, 0x853714e8, 0x58d71022, 0x08f46331,
+    0xa571a26d, 0x4c119b18, 0x534aa4f9, 0xafbeefbb, 0x1a5c7d02, 0x7933465b, 0xd3330ddd, 0xce47ba94,
+    0x8f649796, 0x809d9c16, 0x44c5b203, 0x4f521d6d, 0x44d5a0bd, 0xc66b7220, 0x386e1f9c, 0x741892f7,
+    0x0bd73691, 0xf22cb7a5, 0x234014c0, 0xf4a77f88, 0xa87e2274, 0x02172448, 0xd600e483, 0x02401eba,
+    0x8fe9305d, 0x798ef3b3, 0x3d157cd8, 0x50b0c8d6, 0x2fde67a3, 0x741fe7ec, 0x92554b90, 0xe9abf7f8,
+    0x20341c80, 0x5523b147, 0xe5592b65, 0xac0c0210, 0x4b68ba5c, 0xddaba4ac, 0xe629c376, 0xaa09b569,
+    0xb56df1e8, 0x7eb844d0, 0x4d589ff1, 0x8dcc3d60, 0xa8351784, 0x8016589a, 0xf4dea9d1, 0xbd6cd957,
+    0x4da8a02e, 0xc012b976, 0x0b0074ad, 0xce7d3969, 0x9f9ad7b2, 0x4f77421b, 0xfb1d2bc2, 0xa377bca2,
+    0x02410849, 0x9f6eca82, 0x9369d9db, 0xeb6feee7, 0xa1d6af6e, 0x2a02b559, 0xa394b05e, 0x5a95afd0,
+    0x8e74b147, 0x3cdbce87, 0xd08e3e22, 0x9896eff2, 0x4209a123, 0xdc73164a, 0x16e2cec2, 0xc96ae180,
+    0x4e9e8cb9, 0x5dd83ffe, 0x5dca62b0, 0xbc5edeff, 0xd8bab35a, 0xfc2a3a96, 0xe100237a, 0xc57d31f9,
+    0x8ac7a78d, 0x5c3c48ff, 0xa1bc9c3e, 0x066a10ba, 0x5c70ccba, 0xe3876089, 0x82417fc3, 0x0207f504,
+    0x8f617d2c, 0x4f77f02f, 0x760a9ba0, 0x71482b42, 0x0c7fb7b6, 0x547bdb65, 0x47005ed8, 0x4b400c7f,
+    0x88d5b63e, 0x153a8357, 0x7a365c5e, 0xb7a07fb9, 0x9e6e5c59, 0x83380bee, 0xaaadcb00, 0xf7e3f309,
+    0xf84df133, 0x0b636ae6, 0x219c4353, 0xc254f6ac, 0x2a5148e5, 0x08b21ac0, 0xb888bed4, 0x64f8e938,
+    0x41c03a95, 0xe40e61b4, 0x17d44b06, 0xdd1eea64, 0x3dd6c514, 0x72a0c19a, 0x1f0c9bdf, 0x7416b282,
+    0x34896e04, 0xa32a2d7d, 0x43f6b621, 0x5f34e648, 0xa09fb606, 0xa3eb2d2e, 0xf1af51c0, 0x71ae0d9c,
+    0x2dba5db0, 0x2dc8717b, 0xbf564c07, 0xe164b23f, 0xa3b02d8e, 0xa8b3847c, 0x7d131e8f, 0x047dba0e,
+    0xf80e89d6, 0xd63d60bb, 0xd8e10e10, 0xc8354576, 0x1de69651, 0xe094fc9b, 0xea0adc87, 0xe3ffd449,
+    0x896c5b34, 0xe6fc9cfc, 0xc7abf4c3, 0x9ae18d11, 0xd1749bb9, 0xc8fea6ac, 0xaf43b31f, 0xb3421887,
+    0xe021d21c, 0xd4cd7e91, 0x53a1dae2, 0x20543a0b, 0x30199e40, 0xb232b0ca, 0xa31a4fbd, 0xb6cd6e5d,
+    0xf908ac13, 0x4429811a, 0x170b786e, 0xaa1f6484, 0x0462a04e, 0x501dcbd1, 0x3505a2a6, 0x1ccb22b3,
+    0x72cb1a76, 0x611316af, 0x2efc29d9, 0x769668ce, 0xcf7b5228, 0xccf3af6a, 0x49399fbb, 0x39efbfe5,
+    0x2d8ff6c9, 0x45b5a134, 0xaaefe921, 0x2b253e57, 0x0a5e24bd, 0x2c68bbba, 0x88486d10, 0x273f158c,
+    0x4cb62d7d, 0xab14da68, 0x2d1ef3bc, 0xca222cfd, 0x19c68ab6, 0x36aabeeb, 0xf687f955, 0x3c90ea35,
+    0x5f9d298f, 0x66c844f9, 0xc6659f6e, 0x4d90c6f8, 0x810b6747, 0x93dc19aa, 0xd8adafe7, 0xb0802054,
+    0x4712e64f, 0xb519fc5c, 0xfe007e15, 0xa494a67d, 0xee6454aa, 0x0e58fa07, 0xc1d1d614, 0x15fa7a6e,
+    0x6dccc661, 0x39e67f25, 0xd96006e8, 0x60f01092, 0xcaef60db, 0x8e65ba95, 0xb0e41161, 0x58d5eb0f,
+    0x6278310e, 0x8cd76808, 0xbc670fc8, 0x83605784, 0x6ed5eac2, 0xc873b059, 0xc761a734, 0xaebff4d0,
+    0x1ffbc7bd, 0x49793b14, 0xb69feb62, 0xe9d61eb3, 0xb13517c1, 0x76071051, 0x70773a2c, 0xe5641e2a,
+    0x60f4b907, 0xafc728fc, 0xea907ee7, 0x6f2b578b, 0xaa278719, 0xb5f83f7d, 0x0fe8a367, 0x9192f239,
+    0x8be52baf, 0x1bf58b9c, 0x1b485586, 0x2056dbba, 0xc33a8e34, 0xa3348c37, 0xc65a4c14, 0x26a22554,
+    0x647db570, 0x76f4525a, 0xbeb677be, 0x16e37708, 0x737966b1, 0x8a4f76b9, 0x577301fe, 0x8cb1d3da,
+    0x98e39b2c, 0xeaaef100, 0xe8d4faaf, 0x17a5d2e7, 0x648f42bb, 0x8863889c, 0xe1cb1428, 0x98f09ee2,
+    0x27a33cf7, 0x03d4e354, 0x2ba30853, 0xd1a4b092, 0x6284d582, 0x476fb2c7, 0xa9e47089, 0x28332c63,
+    0x97504980, 0x1fbf765a, 0x09b642f3, 0xea476095, 0x58f6aec9, 0xd133a5ad, 0x5c228a58, 0x949faa12,
+    0x46f28bde, 0xc9534f5f, 0x418038b2, 0x58b59753, 0xfdafde1b, 0x359b2b9a, 0x90374b9c, 0x1cf908d0,
+    0x1c5524c1, 0xe845d7d1, 0x62c6d01c, 0x7e502000, 0x62b95cb5, 0x48838cc1, 0xec9ec270, 0x55928629,
+    0xb61d7730, 0x2afecb47, 0xcf97cfbf, 0x6da9c2b1, 0x05b499aa, 0x1bd075ae, 0x4eae009b, 0xaca745e8,
+    0x44bd1930, 0x02e2b3e5, 0x74ee52d7, 0x41687bcf, 0x3f654c6e, 0x18603dfe, 0xeaef2ff6, 0x1bd3bb23,
+    0xaaff7f9b, 0x35d8c48b, 0x6571cfe0, 0x1191f783, 0x6c6fa843, 0xdca63756, 0x9e2d2b83, 0xfaaeb14c,
+    0x18a15939, 0xb3f4e141, 0xbf53a20b, 0x9582c657, 0xfe4d5d5e, 0xaadfe7e6, 0x34b10ed6, 0xbba2a07f,
+    0xadd83eb1, 0xa2e84152, 0xfc4bd94d, 0x68ac7c1e, 0x645cbf7f, 0xcddf2e82, 0xe01379e7, 0xe1d6688d,
+    0x45296da5, 0x1b94b8d3, 0xc3303051, 0x512e6211, 0x918e66a0, 0xfb7786d0, 0xec8b85a6, 0x37bd1fd5,
+    0xb4bd639c, 0x4265832b, 0x2ec4fb75, 0x6afe4591, 0xa9d59be5, 0x4cd45b32, 0xc16dd819, 0x2eb150b7,
+    0xb5fb1b56, 0x1bcd2aa8, 0x39f9083f, 0x62c2f20f, 0xfc510b68, 0xa7248fe4, 0xbcbc51db, 0xb3c88599,
+    0x9fe13509, 0xbaccebf1, 0xdedb6011, 0x935edb72, 0x42565562, 0xf96f0c9f, 0x2898328f, 0x6ebb1825,
+    0xf7e43ed9, 0x89cde718, 0x60bb1339, 0x9b3f3027, 0x1d1cdd96, 0x5566a52b, 0x24003315, 0xdedfa7ef,
+    0x2b80599e, 0xd712a8de, 0x52e86207, 0xe8ee75ba, 0x02487d8f, 0x570b9da0, 0x602f7ce5, 0x77e3e76e,
+    0xdacff113, 0x63559ef4, 0x64dcc796, 0x4cb3708d, 0x41df3a8f, 0xb1e5cad9, 0xd9dedb2b, 0x025a3973,
+    0xa838fd81, 0x1c412f12, 0x57994a49, 0x4da81019, 0x36e7db20, 0x5107b76b, 0x7785bb43, 0x3d2b88a2,
+    0x4cdd5cd2, 0xeb05f2c9, 0x3af30033, 0x697e0b97, 0xf71a69e3, 0x1012bbf4, 0x0805e7dd, 0xd492d660,
+    0x4ad6caff, 0xc0ece666, 0x44d19fc8, 0x3577d309, 0x88d3a873, 0x6a199ce3, 0x500b5d49, 0xcfa39a75,
+    0xed755d80, 0x261e20fc, 0xe30a1f63, 0x722f940f, 0xca2fc087, 0xe7374ad3, 0x7ac5ffe5, 0x5410a08a,
+    0x6c2bb1d6, 0x5dcd6e56, 0xba52e799, 0x0c312c26, 0x9ac1dd8a, 0xa146eade, 0x8e6bee7f, 0x50c12cf3,
+    0x0e5eff2c, 0x42bd660f, 0x1d2b3828, 0x60fa1bd3, 0x0cdced79, 0x50eca0c4, 0x23a785d7, 0x038e72eb,
+    0x46959c28, 0x56a21804, 0xeec37b2d, 0x9deb0a0f, 0xb459bb68, 0x3acfe438, 0x21e2c3f8, 0x642f2e00,
+    0xdaedc7a6, 0x6e12d6bc, 0x21f6f0ea, 0xd5b3ba74, 0xfed6e8c3, 0x3598f15d, 0xcb6000cb, 0x27a71796,
+    0x2468d552, 0xe8c617de, 0xf081d3e3, 0xa53eba88, 0xd7ded914, 0xf4482f64, 0x55cdee31, 0x9d2ad0a6,
+    0x78a0ca2b, 0xb9ad55c1, 0xd80575d3, 0x60d5e76f, 0xbbfcddc4, 0xd0815bbb, 0x73d39159, 0x35d841b3,
+    0x096cc61f, 0x45640fc9, 0x8ba11e60, 0xb010bea3, 0xc2e6ea20, 0x4bb1019a, 0xf85b053a, 0x5a79e072,
+    0x5636cf84, 0x9635294d, 0x7966c673, 0x38d52104, 0x36256599, 0xcf934cb1, 0x21526e07, 0xfb8abb4a,
+    0x3679010f, 0x117e577f, 0xb734d799, 0x5403feb2, 0xf62296a8, 0xd90e212a, 0xf4f51205, 0x7c93adbd,
+    0x642c9fcb, 0x326c8a36, 0xd8bd209c, 0x48a14bd1, 0x3eb128b3, 0x3de0351c, 0xf4051701, 0x8497fa86,
+    0x78a84039, 0x0ea0a462, 0x6764cd58, 0x40c3bbfd, 0xcbe41d45, 0x3675b9f3, 0x4ad8a9f8, 0x26c82084,
+    0x34250339, 0xf28e3637, 0x1d014f1a, 0xf8389d27, 0x098da138, 0x5e8c608d, 0x48dedd31, 0xa44f21c3,
+    0x2705c666, 0xcef14212, 0xf74666b6, 0x3d92bb74, 0x55f0a3b0, 0x48631f16, 0xbe4ca18f, 0x9d2795bb,
+    0x60e8af67, 0xc0540dee, 0x555274ec, 0x9c108d9b, 0xb71c82ce, 0xb37267b5, 0x0633417e, 0xbafb0c13,
+    0xd216ab48, 0xdf8eecb5, 0x7440b7ca, 0x5760884b, 0x6ad6586d, 0xb7b4eea8, 0xf02cee2f, 0x6ffbb18b,
+    0x43f7dd0c, 0xbb73a4a6, 0x8a47295c, 0xc233e428, 0xbfba42ef, 0x11105daa, 0x2fd7367e, 0xde0d90e7,
+    0x60375111, 0x2ee08344, 0x0d3e2025, 0xc9367d21, 0x20ab493f, 0xfb9a0b4c, 0xc4b4ce80, 0x0f1334f2,
+    0xf48fbaa3, 0x5b6ecd85, 0x44d00697, 0xc20c7b86, 0x95422abf, 0xe9968fe0, 0xdc2c6dd9, 0xaccfaeb5,
+    0x3491d6d6, 0xdb19e126, 0xab4771d4, 0x76dca3b2, 0x6eb3c623, 0x9a49a037, 0x33cd17b0, 0xd6a6aed0,
+    0x79d9e9df, 0x22dfb20b, 0xb7755630, 0x042768b1, 0xe8795cf5, 0x5e23375b, 0xf95d3475, 0x0f9b4c1d,
+    0xcbf3f8ac, 0xb85616ba, 0xc3a78b16, 0xdeace022, 0x1be7cf33, 0x58bd0e0e, 0x53165072, 0x63365e19,
+    0x178abcac, 0xb3b176e0, 0x0a12a6e4, 0x36864a77, 0x092ec1d6, 0x1413d7a1, 0xfdb14849, 0x366f6962,
+    0x3855cbe1, 0xabedfeb2, 0xfa650de9, 0x39c6383c, 0x5e5e56b8, 0xd88faf36, 0xe14fe8c8, 0xc6746f37,
+    0x97ad62a8, 0x27bf1463, 0x28a9d15c, 0x86642ff2, 0x6d6e6cb5, 0x629f5e2c, 0x2e9c1d87, 0x9f8b3cc0,
+    0xc47f5da7, 0x90950a79, 0x19883152, 0x1bc6136e, 0xe4b423d2, 0x23f406a4, 0xd4c6d859, 0x952154c7,
+    0xa045bbf5, 0x7870d096, 0xcaa0ab28, 0x158281d4, 0xbeb30f6e, 0xbe770d60, 0x62fb9d7e, 0x6e5c698d,
+    0x149ecb50, 0x1cf90244, 0xa6a05531, 0xf1f7eff8, 0xc5eaae04, 0xbf19cbee, 0x69e9d3b9, 0xdefc6c9e,
+    0x22c6242a, 0x38f2d5c7, 0xb565b39e, 0x86cf51f7, 0x9d0c565e, 0xbe356ed5, 0x9a1b381e, 0xdf678226,
+    0x12c85a65, 0x255a6369, 0x1662eab2, 0xdc1b3791, 0x7c34d5ba, 0xcf301d56, 0xfcdf0cd0, 0x8291b8ce,
+    0x403a4d8a, 0xb532dc2b, 0xc6ea26aa, 0x61cbe74a, 0x45399769, 0xeba0226e, 0x61360f9f, 0xdd2f9869,
+    0x0ed9c923, 0x7a0d7795, 0x647d27d6, 0x22cc9876, 0x98e6e9ac, 0x664f73a2, 0xa5cbab18, 0xc727fbfa,
+    0xe2755046, 0xecc7eb51, 0x470776ee, 0x7da4b188, 0xb380a489, 0xd5d2e8ca, 0x5bda8ff7, 0xf3741794,
+    0x45447b75, 0xb4d6b86d, 0xcba587ed, 0xd1ae3e45, 0xc685a409, 0x1c997864, 0xd370ee03, 0x1d9171a9,
+    0xe68a99b9, 0x98bf1a53, 0xda29f576, 0x6b6538ea, 0x569b36f7, 0x81fcdc1f, 0x5be37fc0, 0x9bfa9ccc,
+    0x08124007, 0x79ff0282, 0xab7be9ac, 0x71ee6d78, 0xb2cf36b5, 0xaf091a7a, 0x4371a469, 0xa8c6617c,
+    0x816f94a1, 0x838bbb02, 0xbac6d1c9, 0x29e4b530, 0x96ad6aab, 0xa8d76ff9, 0x0e0d6fce, 0xcac9455c,
+    0x4b7f8139, 0x922147ac, 0xaf032493, 0xb1a98426, 0xb5dc505c, 0xb1d6ddb6, 0x76b0343c, 0x29d82b4b,
+    0x1cb4a8ab, 0x2bad6634, 0x5d388069, 0xd10113be, 0x1a3d2494, 0xcc6bb434, 0x6d29a53e, 0x4ee99b7d,
+    0x487b6206, 0x35924e8a, 0x1920e7f1, 0x8124b858, 0x68ec45fc, 0xfbcd04de, 0x6423b63b, 0xa1143f5d,
+    0xe9535ee1, 0x6302ab87, 0x8050ef84, 0x32ce3c00, 0xceaaaa15, 0x4de1c4a1, 0x32c28a7f, 0xfcfd0f19,
+    0x0f9ad89d, 0x5d413f6a, 0xf883ffb2, 0xba5415a1, 0xab5a53f8, 0x0dfb38f6, 0xa91db58c, 0xbce94faf,
+    0x4f3bd8ee, 0x2c659d7c, 0x739b25f1, 0x7a242259, 0x81cbf8c4, 0xce18f7f3, 0xdbd9003c, 0x3abede39,
+    0x9b772033, 0xfc2ccdbb, 0x53063d5e, 0xe6d30f03, 0x89e2e4c1, 0x9948feab, 0xa40fdb5c, 0x6a2733db,
+    0xaa4ca0e1, 0xb411d990, 0x5542a31e, 0xfd9e0be0, 0x6c3e84d5, 0x93c883d4, 0x55a31f5e, 0xa7126f83,
+    0xa6fabf1f, 0x08304e8a, 0x3989dd63, 0x11d56bb4, 0x0e13620a, 0x5f1c918e, 0xc6c68f3c, 0x89fb346c,
+    0x16cab9e4, 0x62b73810, 0xd394ac26, 0x7fe1c44d, 0x59e4f62d, 0x2bfaacdb, 0xf9d34ee2, 0x051386ce,
+    0x6502852e, 0x7b6e9e1c, 0x56055747, 0x6c62431f, 0x784c3048, 0xc71b8708, 0x604acfb0, 0x7f37b78a,
+    0x81340565, 0x13e0dd0f, 0xff0c72e7, 0x22544de0, 0x25bfe97c, 0x91cb4d68, 0xe73a5524, 0x1c497cb4,
+    0x8c2a8992, 0x5f602eb4, 0x4d8f047c, 0xb03a7c7c, 0xdf461cf3, 0x2e4f90f1, 0x46519df5, 0xb811057c,
+    0x86791c5e, 0xe335e6b0, 0xca7be4d5, 0x4c53c157, 0x3334f94c, 0x49f9358c, 0x0fbc9465, 0xac69a8c7,
+    0xb9c2f568, 0x31cc1823, 0x5c4f0e2c, 0x03ca7cf4, 0x2098d495, 0x717d59c8, 0x6f17c501, 0xcb814cba,
+    0x30264d8b, 0x14b487d8, 0xf11f0409, 0x31344858, 0xd2ee7232, 0x89ae1d15, 0xaa2af5ca, 0x6f34a91e,
+    0x0a8ebd5c, 0x3a5218a9, 0xb8c34917, 0x6a212fac, 0x9c01a7ba, 0x79c9062d, 0x90a9cd2d, 0xe17f2c6f,
+    0xeeea994c, 0xa33a1e26, 0x07e727a8, 0xff0c4fcc, 0xa9c6ba51, 0x1e1f18cd, 0x6374381a, 0xc3a729bd,
+    0x5f3f0ec8, 0xb05366d8, 0x00fb7fb7, 0x11f627ec, 0x621a390f, 0xb4f17a72, 0x4403832a, 0x34af2015,
+    0xacec2f2b, 0xee25850f, 0x242974bd, 0x1aebd89d, 0x53fc88fd, 0x88be58ff, 0x88673744, 0xc7d74786,
+    0x2e253008, 0x5d4007fd, 0xcb17b98a, 0xab515f2d, 0x02a54d6f, 0xef8bce5c, 0x4763140a, 0x4b6c9344,
+    0x1cbeb63a, 0xe30a25fe, 0xa416d347, 0x08e9fee3, 0x22f72c98, 0xae10c931, 0xbc5fc8e5, 0xd7e73a98,
+    0x5d363401, 0x3288f08d, 0x4245ed10, 0x700f40b9, 0xca8b3ffe, 0xbdd805bf, 0x880f9f83, 0x7e9d8b1b,
+    0xbc795625, 0xbee830df, 0x0eb69dda, 0x4001b5df, 0xe1966af7, 0x3c483f67, 0xbd8e2ec4, 0x91b54229,
+    0xd9181a05, 0xb6e3cdef, 0xb6d02399, 0x7a495ef9, 0x6770ea7e, 0xc6d21a7b, 0x175d64a6, 0x0ec0620d,
+    0x50b4216e, 0xc48ca2a4, 0xb344d188, 0x3896e377, 0xac661eb6, 0xc56b781f, 0xce254332, 0x3438005c,
+    0xf2337e25, 0x5cfe6bdc, 0xd4adc10b, 0x40f7d71e, 0xc14c1048, 0xf381efe3, 0xe1b369cb, 0xe6c13c4d,
+    0x84100c13, 0xbfe98550, 0x4ec83c80, 0xe73e41bd, 0x18315624, 0x0eeb77c5, 0xf85678dc, 0xb46a440c,
+    0x441648ff, 0x4a1a6c73, 0xafc57655, 0xebb10f2b, 0x9ca7f11f, 0x8a314bb6, 0x37a300a2, 0xaa968754,
+    0x31967d34, 0xed32058d, 0x4209303c, 0x264b25ff, 0xdf2f2503, 0x6c195e8b, 0xc6eb6613, 0x60330d98,
+    0xbf3f43c9, 0xc836608a, 0xc4d403d6, 0xda2d101d, 0x673a30d6, 0xc1b4289f, 0x46c40118, 0x8d895028,
+    0x10201439, 0x7616eed3, 0xe4897387, 0xf7bfce3f, 0xfff96ae0, 0xdb480696, 0x375df26a, 0x3998d168,
+    0x88e5ee7b, 0x324a16ef, 0x21caf417, 0xb668808e, 0x2fba9ce6, 0x8c42c450, 0xd5bc505a, 0xab9f712b,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000068719476736 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe5, 0x6cb0f685,
+    0x00000000,
+    0xa4748b95, 0x9c6c0fc9, 0x2111dc48, 0x081e8d5a, 0x8fbbf327, 0x2dc06e21, 0xc8b3084c, 0xfee7ccaa,
+    0xf2c1c347, 0xacbec895, 0x49869208, 0xa755d21b, 0x3e9fbbfe, 0x89e1dd12, 0xf3834482, 0x9a3d4a7f,
+    0xde3e1a29, 0xa6883982, 0x9eb48f8e, 0xa7add6e0, 0xe4a2cab2, 0x892726b3, 0x7a4cf631, 0xdf1e5100,
+    0x28e0ebe3, 0x26c46e60, 0xa40fde5d, 0x6d5d950f, 0x6693a719, 0xa54e6f24, 0xa546c365, 0x7767c7bd,
+    0x989d58de, 0x626846f5, 0x612e0d92, 0x02b91134, 0x66e7b619, 0xf53589cf, 0x53d5db2e, 0x11a2191f,
+    0x5610359e, 0x9ce36e60, 0x8e7d326a, 0xe38126c2, 0x9a80e0aa, 0x7c8e607f, 0x892ca8dc, 0x2005cd61,
+    0x39b59eb8, 0xd5ff7879, 0xb3e83500, 0xefb4a5df, 0x72751d4d, 0xee12bc05, 0xea778045, 0xa39dac88,
+    0x7b56a653, 0x31a580a0, 0x7877b679, 0xbe4a9d81, 0xb5eab91d, 0xf8c4e97a, 0x6fbd7922, 0xc20887eb,
+    0x64d9f4d2, 0x12ef20d2, 0x88d81968, 0x7b70610d, 0xba5f7815, 0x11447f4d, 0xf6c07679, 0x14d89476,
+    0x5fff3c14, 0x5ca9c5a4, 0x39b2babb, 0xed586823, 0x25c014f1, 0x31866e58, 0x43fd428a, 0xde55ab85,
+    0x4f209cdf, 0x9e1bc986, 0x9980bc73, 0x68ff22fa, 0x2d4f5030, 0x0ba5e341, 0x1ad15b8b, 0x06292c8f,
+    0x738683fd, 0xa0b9ffb4, 0x79e7e812, 0x08bf2a4a, 0xec326c36, 0x04401bd2, 0x8791f9e1, 0x6ce81e9c,
+    0x631fa2a9, 0x9a2ea272, 0x526b3fb8, 0x52bfccca, 0x2e04ba78, 0x2080376a, 0x8b34cdb5, 0xfceb4e25,
+    0x7e29cd06, 0xa15ddf9a, 0xd36ead8c, 0x57a4b6c2, 0xba331ee5, 0xbadbffa3, 0xd7da7b9f, 0xb9fa804c,
+    0x3e03bf7d, 0x83933d4f, 0x5b69e584, 0x11d156ea, 0x8f63cc3b, 0x1f6c8451, 0x33fab7ea, 0xd22d1157,
+    0x068335f6, 0xf11571ad, 0xce455b33, 0xc02ddd22, 0x0d11ebf4, 0xfb8e464b, 0x9e6302ad, 0x42a6e17d,
+    0x65c04e6c, 0xc1d54da6, 0x709e7f7c, 0x5d5e7ac9, 0x15399334, 0x1605f7e7, 0x94a5c9e2, 0xc794ab06,
+    0x863e620d, 0x05e91092, 0x0e91215f, 0xf8187fa6, 0xde47fe95, 0xea6f534f, 0xa90eaae6, 0xd1febd65,
+    0x648c1fb0, 0xd028d999, 0xe8098dad, 0x0101b648, 0x800edd90, 0x5dbdea0f, 0x6e373e2d, 0xdf3dbc69,
+    0x65f17576, 0xfc167113, 0x66422b75, 0x39c8eb11, 0x0c8febdd, 0xa9270287, 0xf5959312, 0x0a0602fe,
+    0x9258dfeb, 0x0deaa0ca, 0xd5c53343, 0x46bf24ab, 0x728ac9c5, 0x474399dc, 0x5a4790c9, 0x0ce2e0ba,
+    0x3478cdf9, 0xc8dc6781, 0x05f3d8d6, 0x48b64aca, 0x037c23b7, 0x9139fdb7, 0xc3c2445c, 0x664d9db3,
+    0xc3911bc9, 0xc0e085a7, 0x007c02d5, 0x19a24b19, 0x427d2166, 0xd26f853b, 0x12905652, 0xc4e397b2,
+    0x5d4d1556, 0x8e3ee862, 0x34cdc224, 0xb8dad75b, 0x7dcee297, 0x94fbfd77, 0xb9996613, 0xa9d5efee,
+    0x0608a767, 0x8853224a, 0x1400eb78, 0xc0a99f42, 0xfed6025a, 0x95543c85, 0x550e6b33, 0x941741f5,
+    0x97c854b0, 0xafeacb11, 0xbcb26f7b, 0xca936faf, 0xf6ab9b4d, 0xe3ff7f94, 0x668cabd5, 0x7e7a1a4c,
+    0x0d4cf60e, 0x083cb36f, 0x96fa5b8d, 0x0d1805bc, 0x1a535304, 0x251b652c, 0xa9b5b044, 0xee8636e8,
+    0x83231c78, 0x8020f198, 0x88d19214, 0x11aa68fd, 0x10f66e94, 0x7f21f6aa, 0xe8b58e02, 0x9ed10c59,
+    0x7ab2eb33, 0x26028d18, 0xe77aab22, 0xfe083106, 0x92ba521c, 0x1be3f323, 0xa7822d84, 0x8f111b3a,
+    0x0e46bd31, 0xcbeba9c3, 0x035200d2, 0xeec8e21c, 0x96cdfba1, 0x03200430, 0xa3914248, 0xbe9dbc2d,
+    0x7ea4f5e5, 0x0ffb8a2a, 0x584171ac, 0xc803300a, 0x37d81e38, 0x664ccaed, 0x18ccb357, 0x039f28c9,
+    0x5cde7d34, 0x9852796f, 0xddd37a90, 0x9722f9b5, 0xcb0007db, 0x3def9a33, 0x15a7f87f, 0x5506d88f,
+    0x99ec07ed, 0x76b6f487, 0x11c07e42, 0xf1247020, 0x14c9bd39, 0xb25b2c0c, 0x390162e7, 0x28de4704,
+    0x33302cb9, 0xb1cc3eeb, 0x32eb1422, 0x6537100a, 0xe3fcdb82, 0x7f37f6a4, 0x37d48c09, 0x054e0ef9,
+    0x30fa8a0e, 0xfea31498, 0xdd650551, 0xe5b74b6f, 0x8ba4ec45, 0xa80628d1, 0xc7052ddd, 0x19da170c,
+    0x020deba5, 0x5d9bcd56, 0x29a734fc, 0xa27778c8, 0xe5819f2f, 0xcf0b12e2, 0x7e4d7f0c, 0x3fe4ae87,
+    0x23593bb3, 0xca03aa2e, 0x3226ff82, 0x6a2fa3be, 0x7142045c, 0x94efe5ac, 0x6f9debb3, 0x81dd79a5,
+    0x791cf9b4, 0xafe76beb, 0x0abcaa05, 0x99e0f985, 0x6b1aebbf, 0xc4ca70e4, 0xa0b7b127, 0xd7ef1d9c,
+    0x23fe6a9a, 0x893849cb, 0xf5035b91, 0x0a0ab4c9, 0x4e120a0d, 0x2268bd50, 0x5f177032, 0x76f345e7,
+    0x17cc658c, 0x50a16481, 0xeae1c77b, 0x62b85d2a, 0x21fef698, 0x0eabadae, 0x8569e96b, 0xced55ec4,
+    0x14616e54, 0x809725c2, 0x58cdb8e1, 0x987afa4f, 0x2f3ec240, 0xbeb7f024, 0xab0517ea, 0xb07a2c85,
+    0x5dcbb7fa, 0xd523e380, 0x7137ea89, 0x1358d581, 0xd7bdce8d, 0x88c4158f, 0xa274b604, 0x26ddefd7,
+    0xd22ebfe6, 0x1618eef9, 0x6164e44b, 0xc8952b19, 0xc8d9e4aa, 0xf1731455, 0x7af45ed4, 0xf206a826,
+    0x3bd52e59, 0x6b26b1e5, 0x8fca3f97, 0xc498a349, 0xc5ebce98, 0x761388d9, 0x539ff8db, 0x7739ed2a,
+    0x5bd79fba, 0x6cea73c8, 0x45c43e76, 0x0c85bf0c, 0x8ce46c0a, 0xec32cafb, 0x29cbd902, 0x1028290c,
+    0xa4dd45f0, 0xd684e0b5, 0xd75f7d3b, 0x62177b78, 0x4639d613, 0xaaf091d4, 0xd47e42ed, 0xccaa7ab8,
+    0xc0d34b1f, 0xbc548706, 0x8b2f55de, 0x4655c3c5, 0x3869b8e9, 0xc1fee06f, 0x6ec43fe0, 0x79cfeb75,
+    0x1740e8d1, 0xef44137e, 0xefe8073f, 0xb79489ce, 0x7b140558, 0x163c3bc2, 0x0b6bb8ec, 0x86c8f194,
+    0xabae28c8, 0xd26dbb4b, 0x5ad49e48, 0x3e08d88d, 0x4cea6600, 0xcd399cd2, 0xdfd3959e, 0x7b72cd93,
+    0x23737bee, 0x9a51bda3, 0x265f2c2f, 0xbdf1cd39, 0xb0b9e254, 0x03dc5809, 0x5f9a11bb, 0xafe341b4,
+    0x90a875db, 0x5ab2be8c, 0x62a1a419, 0xbd5202ad, 0xa3d60b60, 0x00315001, 0x6bfd063c, 0x9dc649a0,
+    0x2cace48a, 0x89e0e607, 0x417c3a36, 0x2e7181ac, 0xa7506e37, 0xab9efe4d, 0x2816b80b, 0xbf8f1bc1,
+    0xb6b14e65, 0xf18985df, 0x3f94a633, 0xe7c07f2c, 0x1ffdfcda, 0x4bde669f, 0xed21aa75, 0x8dc15d8a,
+    0x243c8a04, 0x35b9bd6b, 0x13e461a4, 0xd7d1c37a, 0xc8f4c027, 0x4147d0d5, 0xd4088f06, 0xd25c0100,
+    0x908fe25e, 0xf221268c, 0xdbb2ad96, 0x2c344e8c, 0xa9457743, 0x054131ec, 0x014eb199, 0x62447fdc,
+    0xd681937e, 0xf9d89819, 0xfd713616, 0xd9774724, 0xdf8ebbb0, 0x0fb521fc, 0x54659fd9, 0x42066b5d,
+    0x3d33054f, 0x2ce7eb51, 0xd1e803d9, 0x82743bb7, 0x00d89d0e, 0xf49f0239, 0xdaabcb40, 0xc4669e8f,
+    0x17715ce5, 0xc3ed8874, 0xdecb46c2, 0x8002afc0, 0xa4d0895a, 0xa9b8720c, 0x210a8c9c, 0xb53ffb2f,
+    0x3109c742, 0xe1e09bd3, 0x8d94470a, 0x38590e0d, 0x4d46ac38, 0x5e4bb794, 0x856e944c, 0x0fd9df1e,
+    0xbc5ce892, 0x2e370a99, 0xb6abc010, 0x216e0001, 0xfe11174c, 0xb341079f, 0xf1785c99, 0x41e9d9db,
+    0x948fa37a, 0xe8b564fa, 0x2151df3b, 0xfef5c451, 0x1f271a7b, 0x5544fb4d, 0x003fb332, 0x644d9157,
+    0x8668db92, 0x959ecf0b, 0x07617065, 0x2ece72ae, 0x9d1d8c06, 0x03c51339, 0x09870e8d, 0xba9b722e,
+    0x164f300d, 0x9b275526, 0xda5b8ba3, 0x9529fb65, 0xcd52abd8, 0xca84d94b, 0xf20f0bc4, 0xa472813d,
+    0xb26951d5, 0xfbb74772, 0x707cfeb0, 0x12603f54, 0x2f7c2c86, 0x53885228, 0x56a88479, 0x05b03666,
+    0x0a244fb3, 0xc24f5182, 0xf8c436cd, 0x6fa91b93, 0x599b039f, 0x66b54913, 0xf34d9224, 0x0960f179,
+    0x84c9ac3a, 0xc3508790, 0xecbb9e21, 0x1050efea, 0xeb733616, 0x4e951a06, 0x62e2d10b, 0xb3df8317,
+    0xcaf4c039, 0x8f202b8b, 0xc1c558c3, 0x9e842e9b, 0xbccb2e02, 0xc0cc3566, 0x321e9571, 0x41441642,
+    0x5abed7f2, 0x520a6865, 0xe91074d4, 0x17b8bcdd, 0x0a44d3b6, 0xc3fe5107, 0x235145be, 0x79c4812a,
+    0x645a3969, 0x99be2fb0, 0xf2b9ffc1, 0xb9ce5409, 0xf5fb33a4, 0x03569c43, 0x8698109b, 0x70098ab6,
+    0x46b23c80, 0xf164dff2, 0xe78b13d5, 0x9cb528e1, 0x449edb00, 0xd527a544, 0xbf74bfff, 0x3240ca4a,
+    0x27119e37, 0xa6284654, 0x9e4cbf8a, 0xc8964aa1, 0xe5917c7e, 0x86492728, 0xc6e60543, 0x61ed9881,
+    0x0e4299c8, 0xfb2ebff2, 0x64887f1f, 0x3ca59407, 0xca86f11d, 0x404a9256, 0x8db638d0, 0xf7a9fbba,
+    0x1ffdfee2, 0x69ff4f4d, 0xbeb05b20, 0x4edba574, 0x5f0b7d8e, 0x7277af14, 0x6f246458, 0x21dc8de7,
+    0xed5215a8, 0x52dc3f8b, 0x4e574e4b, 0x7e13dae9, 0x485dc8db, 0xb2e9946b, 0x4faa9962, 0xd2dbd26a,
+    0xe4adaa50, 0x0b49f920, 0x9e557598, 0x4d533444, 0x787cba8e, 0xc87354d6, 0xf7ff3e1c, 0xa3970853,
+    0xb1986e8b, 0xd132e86f, 0x0dfe7d3f, 0x1ac89eca, 0x9de59335, 0xdf6d730b, 0xcc328a7e, 0xf77e9728,
+    0x3bae0578, 0x2acef792, 0x1c18e6d2, 0xc9fe27f6, 0xb42c4db1, 0x58cca2c8, 0x509ab537, 0x20e5ff44,
+    0x585f3da8, 0x1caedb3a, 0x6af2cb36, 0xe8d08651, 0x5340355f, 0x9d3ff4d4, 0xf0e10d0f, 0x389a39ac,
+    0xd7c20cc1, 0xf3e8cac1, 0xaa534c7c, 0xb5cfa000, 0xea1e713f, 0xd64b6f2f, 0x4058f1cb, 0xae1c42a2,
+    0x8d8067f1, 0xd4219372, 0x48b528d7, 0xd5486fbc, 0x2ebc925d, 0x8ffeb862, 0x95616af3, 0x47c52821,
+    0xf5a14a63, 0xa4ce95ef, 0xb7872b74, 0x31db4e5c, 0x23d39092, 0x7730b337, 0x38b78695, 0xc3f44d34,
+    0x6723d82e, 0x78dd1973, 0x40b37d4b, 0xa8e22767, 0xad46b0dc, 0xe7cbb7d8, 0x886f96ec, 0x1e6febf8,
+    0x8404143f, 0xee57a9ad, 0x24a9de5e, 0x930c6104, 0x5b208614, 0x2f4fa1f4, 0x509acb80, 0x091f5151,
+    0x9923d611, 0x0a5aeaa5, 0x0c51c588, 0x901a7103, 0xbcafb2cc, 0xb7f59b52, 0x3c3c40a8, 0x6681ad89,
+    0x9449f1d2, 0x8ca20357, 0xdd74415b, 0xb377f6ac, 0x23fffa98, 0x7b1cb978, 0xed5dbb89, 0x85a20c26,
+    0x79bfce48, 0x776993fb, 0x5a557285, 0x0f9ac162, 0x1dbeea2d, 0x37677674, 0x370f49cc, 0x88ffe4d9,
+    0xc0a551ce, 0x32bef27e, 0xca9c8927, 0xad3db642, 0x5c577cff, 0x317f58f6, 0xe2bbbbf0, 0x9030aca3,
+    0xe042aa4c, 0x420197ab, 0x59ffc512, 0xb31d87db, 0x07692a6c, 0xabb9c24e, 0xd0f67183, 0x152df47e,
+    0xc28de3d4, 0x8d14ddfe, 0x281ebffd, 0x721f6a17, 0xe034215d, 0x1494f706, 0x920ee3aa, 0x8b845ce3,
+    0x3e343c67, 0xdcf616ad, 0x1a346624, 0xea8f0679, 0x2047e78a, 0x07e7335f, 0xb0f21062, 0x3987abbc,
+    0xf9f3ad9a, 0x8f1a58b1, 0x7b4d4f45, 0x979df285, 0xefef67dd, 0xee640aaf, 0x130af0e5, 0xc143bc92,
+    0xd19bb5f1, 0xc6cc96ad, 0xb765a19e, 0x56e97fd6, 0x7cd46b8e, 0x529cd892, 0xc38afe26, 0x00406364,
+    0xa279b286, 0x00550cdd, 0xeea5165e, 0x63a6dcb8, 0xdf1a191c, 0x3813571a, 0xa90fac81, 0xbcae7492,
+    0x013d08f2, 0x2ec15051, 0x8dad55ef, 0x1ef69663, 0x213fd0fe, 0xc742620f, 0xf715e005, 0xb788c03c,
+    0x446b8ca8, 0xaeb91e71, 0x74dd7d40, 0x48da7253, 0xbaacf06a, 0x3145d4b7, 0x5ca25ddb, 0x459efdcf,
+    0xd04023f5, 0x9957bdc5, 0xdfd02a33, 0x09865cd3, 0x3b006f57, 0xcb0ef159, 0xd24331ea, 0x2bdaae0b,
+    0x5ef6dfcc, 0xe7952b65, 0xe0010879, 0x3bb851b5, 0xc6d5f6f7, 0x65c04c73, 0xde7ab7b5, 0x8fd9b9ed,
+    0x284a2789, 0xafcb2628, 0x69f903f9, 0x34a343b5, 0xde283d76, 0xdfc282bb, 0x870b207f, 0x966fa9e5,
+    0xd92866cd, 0xca7d8a11, 0x4576f0ae, 0x5768cdcb, 0x91110cac, 0x9e971bac, 0x8c81ae76, 0xd089ad5e,
+    0x22cdb937, 0x7e8ed5ed, 0x07db9427, 0x055e0a52, 0xb6202aa5, 0x7bfab54f, 0x1d1e81c5, 0xb729e69d,
+    0x13d51422, 0xf23f96ee, 0xbaf13b8f, 0xf62b39a7, 0xd1e8a1de, 0x5ba13fc3, 0x81426f3a, 0x394f9640,
+    0x609bbfce, 0xd06d48b7, 0x2c5ce44f, 0x3c7c4545, 0x39bc6e00, 0x88e00b95, 0x3790a11e, 0x4db09662,
+    0xbe24a77a, 0x530844bb, 0xc948d264, 0x61b595d9, 0x53f40ffd, 0xf8e9e1a8, 0x370dd4f4, 0x2525d8f1,
+    0x18e1dd81, 0xdeb5327d, 0x2723a66c, 0x535b9837, 0x3ea7b80b, 0x9689457c, 0xef34eac2, 0x6edc4d55,
+    0xbbc0cf0e, 0xce1a1148, 0x62ddae24, 0x1fd9884e, 0xb62dc48b, 0xa48bc59c, 0xbd681a35, 0xcb7f940e,
+    0x4f8f6afb, 0xa632c7ba, 0xedb1f42c, 0xe59e0afc, 0x30af0512, 0xd06b8216, 0x22638471, 0x4ad3e4f1,
+    0x350139b5, 0x1e9ba8bb, 0x022cd131, 0xcc24693f, 0x49e05967, 0x75baa522, 0x7b38b881, 0x59249187,
+    0x89aea513, 0xc49e1107, 0xb81e5179, 0x0bd5dfe2, 0x9a6fd6bf, 0x32115100, 0xe5612341, 0x0bf38475,
+    0xd0e07b96, 0x2d1c2262, 0xe874dadd, 0x39a46102, 0x18d8e10a, 0xacba34d5, 0x237433bc, 0xaef3fe5b,
+    0x5624a6cf, 0x62d4258f, 0x05951be8, 0xc8d206ca, 0xb92bdd70, 0xfcbed956, 0xbfb0c6e1, 0x05ce74d4,
+    0x73b1f8f4, 0x4cee39c2, 0xf05a902a, 0xf8085d22, 0x904e834e, 0x217d7d76, 0x42c9c27d, 0xf685155d,
+    0xe0127d0d, 0x36d16721, 0xc246e437, 0x2e905bd9, 0xc92e857f, 0x96e76014, 0x41e0b896, 0x1a0acb36,
+    0xe6c15bc8, 0x36ea185b, 0x4cf267d7, 0x61a5ad33, 0xb8d0f7a7, 0xb085f9b4, 0x56adbc0a, 0x276c9ac2,
+    0x410419a4, 0x1c5ff792, 0xa2904018, 0xe30bc800, 0x7721dd76, 0xbff33aaa, 0x8c2b262f, 0x608bd892,
+    0x00ec4b33, 0x934b6a40, 0x25fb93ee, 0x944eff2d, 0xf39d5aa7, 0x3eea1c44, 0xdb02e254, 0x641f6afd,
+    0x752285ac, 0x86280aad, 0xd9f67bb3, 0x75ce22c2, 0xef936118, 0x84183da6, 0x3d6183e0, 0xd647ddb7,
+    0xa5e0b718, 0x03f37574, 0xae33b32f, 0x6e27a098, 0x7cf4c1e7, 0xbdc1115d, 0xe210f393, 0x3a2e30dd,
+    0xf782b367, 0x0a5ac9de, 0x9a9668a8, 0x4864e812, 0x9ddc2e79, 0xa96fc3cd, 0x7bbf06a7, 0x511f049c,
+    0xad12d91b, 0x9e8fa245, 0x223800bd, 0x295ad129, 0xc7c1cb78, 0xa76c4c7f, 0xbd3beea5, 0x484e6502,
+    0x6b55fe03, 0x6d3e31e6, 0x819122a7, 0xb014985c, 0x940f839c, 0x7566da70, 0x1ae3bd76, 0xfbc460ec,
+    0x91bea65f, 0xc46fd837, 0x674cf676, 0x01771141, 0xf47b2a4f, 0xf3f620aa, 0x81011ef8, 0xb925810f,
+    0x3c762b71, 0x5a485d60, 0xb7660761, 0x45e56b7a, 0x1fc33c27, 0x15a97276, 0x8028119d, 0xe679bf9d,
+    0xb4a9e957, 0x6d4fa09f, 0xb35c6079, 0x0866cb1c, 0x20e4c0be, 0x933bf0ba, 0x82b08039, 0x3568065d,
+    0xe4abf19b, 0x44175ef6, 0xe2321b94, 0xeadbfa07, 0x36ff28ee, 0xef957dd9, 0xb70240be, 0x23049b77,
+    0xc37960bd, 0x0773d728, 0x4ea87a5b, 0x0d9618e9, 0xfe285521, 0xa768f64b, 0x886f8c6f, 0x0784c51d,
+    0x2afba5b8, 0xb0354cd0, 0x4219d661, 0xf4bb248e, 0x6afd743f, 0xe3c758e7, 0x17b69085, 0x5e6c8cea,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000034359738368 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff2, 0xb6587b42,
+    0x00000000,
+    0x91164d8c, 0xb2ca783d, 0xd87fd675, 0xd3b5d17c, 0xbd034c24, 0x3e61b536, 0x46a04c68, 0x837c2915,
+    0x0b744646, 0x045366b6, 0x925601f7, 0x396f71a2, 0x72b80cb7, 0xba543634, 0xde8a0011, 0x46f1d226,
+    0xd7e7eb86, 0x8acf2a66, 0x3b29c5b5, 0x1ec483e1, 0x8ba252a4, 0xeeb714f9, 0x6932f974, 0x7451a784,
+    0x0ef51edd, 0xb23b2ea6, 0xfabb5580, 0x16cccaaa, 0x95a7e04f, 0x6a8cf0e6, 0xd4b65872, 0xda4c5e97,
+    0xbcad97d6, 0x49a83c6a, 0x698c8b26, 0xebd8fa6b, 0xbab6968d, 0xaf19a03f, 0x94dc85bd, 0xea813522,
+    0x1d1e138e, 0xa09a060a, 0x19ffccab, 0x0e970427, 0xe0e8cb26, 0xc456d114, 0x11335bab, 0xdf006b2b,
+    0x5c552768, 0xb99ba75d, 0x5cf4c540, 0x638f9afe, 0x24f83407, 0xb8f47bb6, 0x4ac46a57, 0x6b495cbc,
+    0xf930aad7, 0xe3d7bb31, 0x2f164497, 0x7afbc168, 0xd1981832, 0xe4368229, 0xf810906d, 0xf979190a,
+    0x7fe37462, 0x2419da59, 0x4ec7c199, 0xb1ab5e5f, 0xed98ecad, 0x291b0f5e, 0x61d7d7cd, 0x720c853b,
+    0x2791caea, 0x58bc07b3, 0x5f2f6d1d, 0xb46430a7, 0x534d07db, 0xa5b9cf04, 0xe51c2aec, 0x2d62e4a5,
+    0xe1db77b3, 0x7efd5123, 0xac0477d3, 0xd38d48ec, 0x808853d0, 0x0d0182a1, 0xe6258478, 0x40a697c7,
+    0x6c6e5512, 0xee54fe06, 0xe58a6497, 0x3167f5af, 0x42d2699c, 0x25d0f9e3, 0x4f383635, 0xc7c83e43,
+    0x7163eb94, 0x6603c483, 0x2bdb0e69, 0xa1d6d020, 0x4a9b6329, 0xbd89f878, 0xc8746eb4, 0x7933e05e,
+    0xd31e0367, 0x9332a7fa, 0xfb9e7a4d, 0x561a7296, 0x593349fc, 0xce7a7dca, 0x5107bc34, 0x3f4e6e22,
+    0xada9442d, 0xf53f5cc4, 0x6bd664b4, 0x3e75d9f3, 0x2c8eb5e4, 0x343954d9, 0x0513bfb7, 0xc333be59,
+    0x6336129f, 0x5031c6f0, 0x6e9761a7, 0x6053511d, 0xf2888ef4, 0x0666b870, 0x5d514a18, 0xd7fbefeb,
+    0x197367e4, 0x5ae05e2b, 0xfaac0621, 0xe0b9800b, 0x94bd0432, 0xf1b30034, 0x49623339, 0xd581da5c,
+    0xf7eb4b27, 0x7354ae3d, 0xbffa6ea7, 0x52879e85, 0xf53fb740, 0x096acb56, 0x7e5e2bac, 0xbb6934de,
+    0x41a5fb0c, 0x32c007bf, 0xd9b2701a, 0xfd484a9f, 0x6dd26fdb, 0xd8ea060f, 0x2d0a8a67, 0x3658d4da,
+    0x4fe7dc47, 0x3f21da6d, 0xc7e46675, 0x1f14dfe3, 0x06b0ac0e, 0xbd77e206, 0x3a90c58f, 0x15fbc6a1,
+    0x7e514d6f, 0xaece840c, 0xfc8fef31, 0x1849fa81, 0x481e6455, 0x91a15451, 0xdf28f7ba, 0x0ebae139,
+    0xaaa5e780, 0x18bc3429, 0xba77fd25, 0x170b3f15, 0xa9ad4b54, 0x6038ef49, 0x9237e69c, 0xecbe717b,
+    0x8e54569a, 0x56a19b7a, 0x699c7afe, 0xe9d1284c, 0x0c43a23c, 0xefe12948, 0x31fdd220, 0xa980ded3,
+    0x08b93351, 0x79db4f5d, 0xb987134a, 0xb0f7932a, 0x6266e0d9, 0xd3de13ce, 0x86d18e65, 0xeadae882,
+    0x74390671, 0xb2e880bf, 0xf7e32b64, 0x1ce7894b, 0x73a24e1a, 0x86e2f6f1, 0x9dc77ca8, 0x695ed5ec,
+    0x1f9a6677, 0x477d0b96, 0x48c21bc0, 0x861b13b6, 0x13a88299, 0x15daa765, 0xa8d0cece, 0x820d0c08,
+    0x91d90b97, 0x85fc3b05, 0xf7b3f736, 0x24fb2153, 0x46d16015, 0x08da528c, 0x60a9e2b5, 0xb8f8cb98,
+    0xad5a049a, 0x4168ea7e, 0x755e5268, 0xe7d0609a, 0x38969617, 0x8b98c7b8, 0x1e2aadbe, 0xf09be634,
+    0x341b871e, 0x8380df82, 0x323247d1, 0x66ec890c, 0x7b27382a, 0x3b220419, 0x0962507a, 0xd966c2a9,
+    0x97aa8e0b, 0x57d20b50, 0xf6291f82, 0x3604638a, 0xf7de518a, 0x98127baa, 0xffbca852, 0xbf8c389b,
+    0x6688efb2, 0x0dbe9cb0, 0x801384c0, 0xf57f5a04, 0x7e4f8d3c, 0x8d9120f9, 0x99dc0576, 0x65732de7,
+    0x5a6d0221, 0x8d90ce99, 0x2912c8b1, 0xbb2c3500, 0x8d7e3d2f, 0x87884f77, 0x02defd98, 0x8c2bbf36,
+    0x01bf58af, 0x6bcdc582, 0xe75afb95, 0xa8ed543f, 0x05578d9d, 0xc0a1790a, 0xd313822a, 0xd5e680ed,
+    0xf60caaef, 0x089b2516, 0x5594d3c1, 0xd4d52726, 0xa0a65b09, 0x364ef1a2, 0xe3e17bfe, 0x320f75ec,
+    0xeb727510, 0xc8972842, 0x20422a7b, 0x08d43923, 0x29c3cca1, 0xdbdcc5af, 0x1370d385, 0xea4e9d3e,
+    0xf74a4c41, 0xb9bff0ac, 0x8b353722, 0xe15110d8, 0x4b94f1e4, 0x99b639cd, 0x2df70fa7, 0x57b10dac,
+    0x8bb2f84b, 0x96f608c1, 0x8974b05c, 0xbb833fef, 0x786d2362, 0x5f32e570, 0x60826bc1, 0x19bbb88f,
+    0xd6643550, 0x289641d2, 0x793bc261, 0x0de94975, 0x9ddaa197, 0x9b5f8643, 0xabded8dc, 0x70b19474,
+    0xcedaf76a, 0x9ff3135f, 0x530901e3, 0x3e035c3e, 0x500facd2, 0x3d0efb89, 0xaed633dc, 0x286f154a,
+    0xf43a83cc, 0x69ec77c5, 0xebca1fb2, 0x74ffd9e9, 0x12800198, 0xfbc0fd75, 0x175a5ee8, 0x15e55444,
+    0x8157adad, 0x33badb06, 0xf5c34bb5, 0xdaa31837, 0xb598eeac, 0xa275b4c3, 0xfc122c87, 0xad1d0567,
+    0x4c61ccba, 0xb5925464, 0xe7cc985c, 0x177c1dd8, 0xff36c0c1, 0x0a94459a, 0xe6f72542, 0x70b486b3,
+    0xf588c6fe, 0x3393630f, 0x2f5fe822, 0x24c8269e, 0xf08f358e, 0xa7683385, 0x81ddc719, 0xe2f8b034,
+    0x6ff2d1a5, 0x3ff515cc, 0x3439b4a9, 0x2f77ceb9, 0x6e552adc, 0x0fcc8527, 0xf2219b26, 0x581cedd9,
+    0x5c9b8eef, 0x2f44615e, 0x492d523e, 0x2568f9bb, 0x24fa6921, 0xcfe82d8a, 0xbd0746a6, 0x15cafd64,
+    0xe2d18817, 0xb343c1b3, 0x764e59f2, 0x3f2b04e7, 0xed5bd563, 0xcb035aad, 0x25d01afa, 0xb73b7e8f,
+    0xa63fc64f, 0x7ca0aa8e, 0x8da54986, 0x6f3ae67a, 0x172a5a6a, 0x5a1458ac, 0x7a1b16aa, 0x24c356bd,
+    0x4f911043, 0xa574cc8b, 0x7fd29c34, 0xc2e2d825, 0xa0e53106, 0xf64a8a58, 0x02b7a113, 0x9a506441,
+    0x95e011b8, 0x7ce6bbe3, 0x277ce184, 0xce3d3ccc, 0xe419a342, 0xec3fe1ba, 0xd5ddcbe4, 0xe0803b27,
+    0x2d58afa2, 0x54661282, 0x03cffca0, 0x3fe9a7c8, 0xb359c338, 0xa78cd743, 0xa4514ad0, 0xce97d7bf,
+    0xeeae2052, 0x1969b7bb, 0xf1bbd5f5, 0x21aba0e1, 0x375b3f77, 0xfc57c881, 0x53c90f4d, 0x75e00567,
+    0x2cab3a34, 0x576eb400, 0x225b5b21, 0xad025bf3, 0xdbfe7aa3, 0xd1001d13, 0xaf39915d, 0xaed365af,
+    0x9e4b2750, 0x3c419719, 0x47623cea, 0xcd6057ce, 0xc31ccf66, 0xe47e4d79, 0x27ee80af, 0x3b1d81f3,
+    0x3164fb76, 0x686820cc, 0x1bedfbae, 0x3bff9513, 0x41d3f5c5, 0x7e156ea6, 0x5e0ce097, 0x6a1296ca,
+    0xa3dd48e8, 0x4a0420f0, 0x4a150a92, 0xc02f7d2c, 0xf3d985c1, 0xc0a80c63, 0x14e55b87, 0xad02b808,
+    0xf812488e, 0x6fd6f752, 0x6df4d4a3, 0xdadb1254, 0x11f4d69d, 0xdda7c7ae, 0x950132fc, 0x5a4db1bf,
+    0xd14d32b8, 0x2f0cc6ec, 0x169fdeda, 0xf7b0d07c, 0x2e3d92ed, 0xd393d8a1, 0x64dbc085, 0x1d6b1a57,
+    0xda4fbe1b, 0x467c4001, 0xa6d74ae5, 0x98d84979, 0xf5e83eb8, 0x420ed8e2, 0xb81114b6, 0x3b7cc120,
+    0x974ec591, 0x4c8abcce, 0x3f1136bf, 0xfce1a48e, 0xc522d0c7, 0x320e4d12, 0x2b2af1c6, 0x02bc46d6,
+    0xd081e27b, 0x316f7466, 0xd14e96dc, 0x5f045dee, 0x3b251c44, 0xebe1bcc9, 0x8f9172cf, 0x93e12eae,
+    0x545184bb, 0x4bd1b526, 0x69d39243, 0xb3b29bb6, 0xfdb4e959, 0xb91864ec, 0x5f598cd7, 0x30ac3c44,
+    0x1a0c9eb9, 0x0e4db2a9, 0x44c7d10b, 0xbbb04894, 0x236f6066, 0x562d900b, 0x6b50a6b6, 0x2c4a67e4,
+    0xf0a7616f, 0xc9b4ba64, 0x2808d830, 0x6d051756, 0x2c47fc15, 0x33823a46, 0xfe25bc55, 0x9c877c0c,
+    0x0b087af7, 0x54edfe8e, 0x6c2ba6f1, 0x45c0b8bc, 0xe91a52ae, 0x2911e5f5, 0x4db51f2a, 0x5a3e344e,
+    0x81f72240, 0xfb86ab94, 0xbd50eaee, 0xbae2758b, 0xc3b460b0, 0x568eabad, 0x9b7f95e0, 0x432c180b,
+    0x84666cec, 0x8404ee41, 0x3699da1c, 0x2dc0ebb4, 0x82d668cd, 0x7add64f9, 0x28716263, 0xcb5ee38a,
+    0x2a8f5974, 0xc65e8c18, 0x14712efa, 0x9725705a, 0x46c14a8f, 0xdc02b3fb, 0xae94d97d, 0x33f4d553,
+    0x2fec0970, 0xe8b0aeaf, 0xc580a4bb, 0x53e206bb, 0x17d27c55, 0xf9e802cc, 0xcbf499f6, 0x1e1e1a4b,
+    0x1b97f033, 0x0280567c, 0x3b6abddb, 0x3fc19ae8, 0xd48e11d6, 0x7ecfc674, 0x0a5f09d3, 0x2581522c,
+    0xde80c975, 0x16601f60, 0x1d0e1e08, 0xcff019f8, 0xdd178319, 0xbbc4031c, 0x8e0062a8, 0x568e5338,
+    0xcac84bf8, 0xa12705fb, 0xa12e7322, 0xc5146b4f, 0x63fa19f4, 0xc08387a6, 0x74625d11, 0xd57f9a02,
+    0x4cc0d89b, 0x7463be62, 0xa8b8e46b, 0x4520e42e, 0xd68be262, 0x16415a51, 0x014b9b81, 0x6a117078,
+    0x2d3bcf13, 0x3efc6575, 0xcb49bd07, 0x2acc8af0, 0x5c6e09cd, 0x4c2da434, 0x737b588a, 0x6597d46f,
+    0x48fd1c34, 0x3e66a0e6, 0x65f6a785, 0x452a7ed8, 0xbd7ddb0c, 0x37a490e1, 0xa6269b2b, 0x7f25a3a5,
+    0x7c54f38a, 0x5bd82b3b, 0x70d2dd1e, 0x00a84b40, 0x7a9ec495, 0x8f3365d4, 0x468cd4ad, 0xc206be11,
+    0x85d2935d, 0xce33b8f9, 0xefa98e35, 0x0e456439, 0x02e9a8c7, 0xc5118837, 0x3e613b9e, 0x434c92d9,
+    0xc11d9be8, 0x3b6f9985, 0x3b69af66, 0x35056dac, 0xe56bfac8, 0xed37efcd, 0x5a34bf4a, 0xbd317377,
+    0xe25268f9, 0xec1e93f2, 0xfd66bca0, 0x4aefa5ec, 0x0acdf75e, 0x2bc65b2d, 0x73389e02, 0x9e40959f,
+    0x57ec1f6c, 0xc2882cdd, 0xf928c8bd, 0x3a807164, 0x31695f63, 0x9051a1db, 0x373cb0fb, 0x56d7541a,
+    0x76de1949, 0x68da00bb, 0x86953c1a, 0xc696ce49, 0x9f8dbc4c, 0xdf1cad99, 0x50360c76, 0xb746c8eb,
+    0x8956565e, 0xf83880e0, 0xdc2697e9, 0xcb832cb9, 0xc2078fbe, 0xe8b44444, 0x93441541, 0xd494d0a0,
+    0x175e2e59, 0x552c3fd9, 0xcaba3c8e, 0xac166824, 0x7f81bef8, 0xebade046, 0x25c75cd1, 0xfd80db45,
+    0xec2e51c6, 0x7022b4f1, 0x587eb2e1, 0x2e0426cc, 0x23e93581, 0x5efd1e51, 0x2a722af7, 0x816185bd,
+    0x50497cb5, 0x5ecb8f14, 0x4c007579, 0xc3508b99, 0xde52b0e5, 0xd181f067, 0xfa81d959, 0x92f03af7,
+    0xa1002a96, 0xd03fce73, 0x4e038d3c, 0x5311d187, 0x99487abf, 0x1674961a, 0x16077e53, 0x2c39fd73,
+    0x97fc3881, 0xce17d89a, 0xfba67bde, 0x3f644359, 0xe2a93d5e, 0xc66b4e8e, 0x11589d88, 0xd5af670a,
+    0x9aad6998, 0xf57cd264, 0xb8104d57, 0x76dc528f, 0x98b92ef7, 0xa1e8c157, 0xd9d6faa9, 0x380de11c,
+    0xff06f11a, 0x5436d76b, 0x005f7286, 0xfebd62cc, 0xe8743dbe, 0x6f2cc95f, 0xfd232a77, 0xd880a947,
+    0x6c4dea60, 0x36d8d7ba, 0xab3696a9, 0xda757e40, 0x894c0747, 0x61685bf5, 0x3867cfdf, 0x03c5db73,
+    0x15fd9256, 0x1fabc295, 0x2abdd6d1, 0x0bb9ed67, 0x63b797c7, 0x18cc2b80, 0x009f72bf, 0x5c61760f,
+    0x2baae957, 0x1a0d2147, 0x56f25beb, 0x786aad57, 0xc75c723b, 0x9086d6ed, 0x1cb78bf1, 0x87054f71,
+    0x0da82a95, 0x94780a71, 0x0e50bc31, 0x6652d347, 0xfa1218da, 0xb56d9f96, 0x780f7d66, 0x5208babc,
+    0xc15fa9e9, 0x8c1b3167, 0x60d4a33b, 0xd9cec81a, 0x59e2b2c9, 0xad5a0b41, 0x1d7adc84, 0x77f11129,
+    0x756d4cf7, 0x7522be0b, 0xab6d77fa, 0xefd70602, 0xfc2191f1, 0x1b7193a1, 0x3d688e5c, 0x88aa3047,
+    0x66b6efd3, 0x5ff40d31, 0x3762473f, 0x0bedf5d3, 0x8289c6e7, 0xcaf9adc8, 0xa6c4da26, 0x1abb4a55,
+    0x8470596a, 0x61436aeb, 0x4689e2a6, 0xa61329e3, 0x1b61b14e, 0x080b6c28, 0x3a1aeb34, 0x226ed6c5,
+    0x22a51108, 0x8c3d52fd, 0xf8ca3797, 0xb707830b, 0x4637ea1e, 0xa95c0fbb, 0xa7154c94, 0x04dbd897,
+    0x81de1dcd, 0xcdec7b24, 0x98c00b3c, 0xab6e6039, 0xc71def0c, 0xb99d506e, 0xa3cda6e0, 0x2fccd294,
+    0x6e2364b2, 0x512d30e2, 0x90b706ad, 0x3b88abf6, 0x646ddf59, 0x2d6c493a, 0x5e35bec9, 0x3057b8f0,
+    0x46f76788, 0x8130dcae, 0x10957513, 0x9bdb75ca, 0x48ce3546, 0x0d1a7237, 0x226f8436, 0x869fe195,
+    0x7b167451, 0xd8f99546, 0x97bd9a49, 0xcf39457d, 0xc7b33d19, 0x6ce49fb2, 0xcdee7483, 0xb86da69c,
+    0x27e0eceb, 0x2487d5c8, 0xfc8be902, 0x529efcb7, 0x2c26ad0b, 0xf100208e, 0xf10c9320, 0x9cc03225,
+    0x5e30b780, 0x86c1e278, 0x021b0306, 0xdd28c189, 0xc828bb60, 0xbe1d4a76, 0x8e542b64, 0xfdb36368,
+    0xc9b43e0a, 0xde290881, 0x009b6336, 0x1681edf8, 0xd203121a, 0x933080e1, 0x5ae46f20, 0x478893d3,
+    0x43ad5aa7, 0x38897a0f, 0x1d3e79ad, 0x38c6706f, 0xe4202999, 0xabeab30b, 0xfc633870, 0x161f1cf0,
+    0xd36e982e, 0xe217f5c6, 0x9aaf92ed, 0xd20b3f2b, 0x2b071510, 0xdb12f30b, 0x7f769cd4, 0x2da1e6fb,
+    0x9b60dccf, 0x657294e6, 0xad6c6112, 0x3877d3ac, 0x226e5a04, 0x6a08db1d, 0x74427d26, 0xb8e69567,
+    0xb59dffe9, 0xfe1c4d1b, 0x40c42e25, 0x045411b2, 0x733bf614, 0x49497c30, 0x43297daf, 0x80a51de9,
+    0x162fc793, 0x2deb0126, 0xd22aef9f, 0x65f011f4, 0xe4a77924, 0xc11e8efc, 0x72124085, 0x7b082cbd,
+    0x05d9fe5e, 0x73958469, 0x7b29309a, 0xd217abce, 0x71712e10, 0x04da366b, 0xebbc206b, 0xbe0d6e87,
+    0xc96c81f2, 0xa29586b3, 0x1629c21c, 0x8ba72ea7, 0x1826ef2d, 0xf422c3f5, 0x87a26e0b, 0x34a51e7a,
+    0xe1811c81, 0xd713d4b4, 0xed8f31fe, 0xbef787b2, 0x19178217, 0x68050d3b, 0xca3b1258, 0x2f4d6f06,
+    0x0b02755d, 0x06676edf, 0x5218add4, 0xa83f9e67, 0xb51cb8b4, 0x82cf1349, 0xd16456fc, 0x3378c2bb,
+    0x048f4cfe, 0x0a19c4d1, 0x50c0681e, 0xe32c6bf5, 0x2d8d6fad, 0xd801a806, 0xc795413d, 0x3b6f77ec,
+    0xecf2fc86, 0x1012e2b5, 0xcfac41dc, 0x8a70cf7f, 0xb3f0cc24, 0x09b434e1, 0xafaa108b, 0x5aa3fd93,
+    0x76ff323d, 0xe3aed8f4, 0x7253891c, 0xf1773773, 0x40283857, 0x480d5938, 0xa9a10a6f, 0xb9645766,
+    0x2264bf44, 0xda13fff1, 0xaa44046d, 0x5054c542, 0x423d3c31, 0xfe24772d, 0xba2949b8, 0x1ff3063b,
+    0x69531ada, 0xd8a116bc, 0xe622f3f6, 0x59380a1a, 0xe9e877ee, 0xe0345c31, 0xa52d852a, 0xda3b74df,
+    0x480c1c4d, 0x68eb6b98, 0xb5ec6886, 0xaaa2004c, 0x2ed53b52, 0xc1b7eb33, 0xb7bcc915, 0xe95d9032,
+    0x8619524d, 0x953ebe00, 0x29216f52, 0x0ea2f9e0, 0x83cd264e, 0xef8c7dfa, 0x8016198b, 0x564a5086,
+    0x2570cd0f, 0xc544d4a6, 0xa747a688, 0x9c6e631b, 0xae7ab9f4, 0x9cc6bbcd, 0xcbf4a3c7, 0x7fda146d,
+    0xf8a2ec76, 0x3d196f05, 0xb35fb3fe, 0xb51a3ab5, 0xa72c7629, 0x1925bf1d, 0xd4677942, 0xfe02ba2f,
+    0xde0878eb, 0x048ade61, 0x367fd75e, 0x69d1ea58, 0xef5eae84, 0x698b8fbf, 0x1a3be74e, 0x651fc001,
+    0x8cb68937, 0x93a7747e, 0x5fb0b00d, 0x003e06fd, 0x7e0e339f, 0x20d02640, 0xd58de58a, 0x1ce4d5b3,
+    0x51648fbf, 0x67f804d8, 0x5862c310, 0x8aaaed66, 0xbd0ad059, 0x98150787, 0xee7d26c7, 0xaf01d7c2,
+    0x49356bf5, 0x2b350a5f, 0xaba3dd20, 0xf834a777, 0x1336b4a0, 0x56e092e5, 0xba1ce18f, 0xbf200865,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000017179869184 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff9, 0x5b2c3da0,
+    0x00000000,
+    0xc0b92fb9, 0xca3ef172, 0x8e591e34, 0xb92c75f2, 0x654c4461, 0x77b87ad8, 0x137872c2, 0xae283528,
+    0x070f3af0, 0x370cd13d, 0xbfb35405, 0xc670202b, 0xbcc944c4, 0x9c6cb3e0, 0x96974dff, 0xb00a4de1,
+    0x5df8ea6b, 0xa42d4165, 0x21a2b3fc, 0x0f19a96b, 0x1bcc35d8, 0x05931129, 0x901ce734, 0x38638e62,
+    0x94785cb2, 0x45cb5ebd, 0xc304828c, 0xa93a4d7e, 0x94df262a, 0xbfc611a7, 0x8c3a4aba, 0x5488f5d3,
+    0x1e7f5b70, 0xe80acff1, 0xa33d9f24, 0xaa2e2cad, 0x824aee98, 0x071fff77, 0x934faf44, 0xebdac64a,
+    0xb7672381, 0x84d9a4cc, 0x9229b072, 0x07114731, 0x60d36170, 0x75d79427, 0x4e70f270, 0x06db76f6,
+    0x830aafbb, 0xf81afc4a, 0x6a8e22b4, 0x57e97d26, 0xc4881311, 0x2b111339, 0x88e4ed2f, 0x13758b15,
+    0x018ebd46, 0xd03d65a7, 0x03c48c46, 0x6383a8df, 0xcbedc22b, 0x8ded7979, 0xa27eba84, 0x000aeb0d,
+    0xee0960cc, 0xf9245e71, 0x3429cfbf, 0xcd771af2, 0x656dac84, 0xf22be9ed, 0x619a6f24, 0x8785b716,
+    0xa5be29f3, 0xca04d4cc, 0x6e577992, 0x67a1f86c, 0x27847c14, 0x56d098bc, 0xd7b486d7, 0xd2131e76,
+    0xf5b25343, 0x1a3a5fbc, 0x15830118, 0xf232601c, 0xe5a5c96a, 0xaaeb11b5, 0xca0be524, 0x266ef580,
+    0x87d647da, 0x76fc614a, 0x8a9c052b, 0xec261978, 0xa518df60, 0x476807e6, 0xeaf776a5, 0x281ad554,
+    0xf930c668, 0x77da0599, 0x47ccace0, 0xf76d669b, 0x69e5e101, 0x87a7b75a, 0x9051d737, 0xd69e60c9,
+    0xbddcfc37, 0xd244e1ea, 0x64c42304, 0x23e3333a, 0x1ce53c59, 0xf7a6f9b3, 0x70fe2a80, 0x3a29c88c,
+    0xb97b36c4, 0xb7c2e0f6, 0x31d1c9e2, 0xe670985a, 0xf2e8b6ce, 0x04b7033b, 0xe491ae8a, 0x949ce313,
+    0x4b2e9b94, 0xa86b150e, 0xe5307ff9, 0x1a932155, 0xeb066287, 0x483450a8, 0xec2d4dd7, 0x98bd222a,
+    0x5d3dd2fc, 0x27326878, 0x686658e5, 0x6b5ab3cd, 0x91984736, 0x148f8596, 0xc061f818, 0x93633072,
+    0x3d39623a, 0xbbad792d, 0x7e85a901, 0x762ef1f7, 0xedbe09e9, 0x62be329c, 0x282ab443, 0x6dd1de7a,
+    0x17ff3a5e, 0x79be4acd, 0xa2d8a28e, 0x38b79661, 0xba114f2b, 0xc73f10d3, 0x9aa870ca, 0xe89594e3,
+    0x02132bae, 0xc410ffef, 0x17c7fb4f, 0x94008d0d, 0xf2435a84, 0x731598a6, 0x0aa29f6f, 0x96fb96c5,
+    0xfdbcd173, 0x6632d2e9, 0xb72cfc1b, 0x1b83aac8, 0xe0f58e81, 0x64f23e9c, 0x77180db3, 0xa9c6cb88,
+    0x0fc5e67f, 0x261a10f4, 0x4bacfed0, 0x1aba470c, 0x263fa04c, 0x683deda1, 0xb7929215, 0x51a4aab3,
+    0x99e3fd1b, 0x4a263427, 0xfa70b93b, 0xeda32410, 0x893e9836, 0x736e5add, 0xf118e910, 0x459044b6,
+    0x3e75cd25, 0xe6d4525d, 0x0d950990, 0x21032603, 0x63d79e7c, 0x9a4f1d59, 0x52c9daef, 0x06fccec1,
+    0x9246333b, 0xffe640d4, 0xd805192e, 0x8fec4147, 0x3ad4b34e, 0xb69ec74e, 0x72e0f8da, 0x9f7c3fea,
+    0x3dfc7176, 0x8acbf94a, 0xcde98b87, 0xb920881a, 0xc65663a9, 0x946da108, 0x9b2270d1, 0x136739c3,
+    0x13b07f8e, 0x996b453f, 0x904e0ca4, 0xd3370d7c, 0xfac8cc65, 0xc59131de, 0x88c6f4ff, 0xbdedf4da,
+    0x57e0b42f, 0x8a0947cc, 0x93a514a7, 0xe1921ac1, 0x437d70d2, 0x879ebca8, 0x09eefc77, 0x0a9e0c47,
+    0x13b528b9, 0xabf6ed9b, 0x94cf0e99, 0xf351bf51, 0x879a2ce3, 0x27876e9b, 0xdc4fa6b0, 0xecea1977,
+    0xa272b53d, 0x77d243b1, 0xf6d51c51, 0x18aafcf6, 0x58122dc4, 0x53b2b927, 0xfdf083f7, 0x763242d9,
+    0xfd72d504, 0xb5e5421c, 0x29b6f0e4, 0xa0db43b3, 0x85f76905, 0x650c93fc, 0x7803add3, 0x5c38aef2,
+    0x8ce58a33, 0xe36097e1, 0x10a1c4ee, 0x94b6b083, 0xf5426359, 0x5fa18252, 0xcd4853a9, 0x5b5c4f7d,
+    0x20fe5401, 0x7a3f9242, 0x5556a9f3, 0xa83b9687, 0x0599d105, 0x850524f4, 0xd6518a3d, 0x49bcc33b,
+    0x4c8fd363, 0x1c4472f1, 0xa6ccd61d, 0x6396f567, 0xeb5a2b99, 0x71fbe703, 0xe6d28b9e, 0xb959ea08,
+    0xdaed26f3, 0x68612c0e, 0x874df0ee, 0x91cf7d14, 0x724c4672, 0x1f573402, 0xa857d497, 0x06822d8b,
+    0x38824c7e, 0x8e5a9848, 0x6d1522eb, 0x39b87226, 0xcf709199, 0x7d486639, 0x08fbff11, 0xe5fc3e4e,
+    0xcf08d139, 0x3afdd197, 0x212b9484, 0x371d6572, 0xf2d549b4, 0xfad754d8, 0xb3104fcc, 0xed9442eb,
+    0xf5c73c05, 0x25d81eb9, 0x6c6f0b39, 0x2e2242fa, 0xd8dbccdb, 0xfde3f31a, 0x0b73c60c, 0xf45912ac,
+    0x68ef9f8f, 0xd6a537d0, 0x0323b5a2, 0xd9114f52, 0xdc789864, 0xb59a9457, 0xf15963de, 0x5f376883,
+    0xfa03fac3, 0x25ddd65f, 0x6002891f, 0xc1dc2278, 0x2d0d52e3, 0xfa52e90e, 0x3a846a31, 0x11f50010,
+    0x6f6c8527, 0x6d689c4b, 0xa8401e3b, 0x7e8dda98, 0x13bab949, 0x8f130ee6, 0x9fb8d82f, 0x080e8c53,
+    0xa9039b51, 0xa9acff77, 0xa52ccd8d, 0x71342911, 0x9a9601b8, 0x700ecf67, 0x13c9a5c9, 0xdc11751c,
+    0xbffa2db3, 0x5714af18, 0xc8ca26c0, 0xbc652a67, 0x289ffbde, 0x1ba5e99d, 0x8da000ce, 0x168392e8,
+    0x8f334db3, 0x50f291ef, 0xeef02bc8, 0x775d2f1e, 0x542de577, 0x274b7809, 0x05673e86, 0xaa0ec600,
+    0xb80ed2fa, 0xe4dfec1d, 0xb6503176, 0xa975bb3b, 0xbc663444, 0x29454c86, 0xff7fb501, 0xdf58bc65,
+    0x2b524d21, 0x1ffcbc5e, 0x9034feb0, 0xaaa8fa51, 0x24a40207, 0x9299f49b, 0xdb44be86, 0xe06e4a8d,
+    0xb4a67fa3, 0x4c70a956, 0x374d3d75, 0x03ae6f36, 0x36601937, 0x0dce1b29, 0xe6d1c43e, 0x8b3cf64a,
+    0xebd467d9, 0xcfadaa30, 0x9342c6e0, 0x5c72d98c, 0x43ed9024, 0x0fcfd4ff, 0x120a7fad, 0x028d1b64,
+    0x46bb3a1d, 0x36c87445, 0xddd3acf2, 0x265f08e1, 0x2be628eb, 0x5bfceee4, 0xb6969e80, 0x8a4e4482,
+    0xa2f0a777, 0x659ecc19, 0x4795f97d, 0x987865a2, 0xcf31b185, 0x606c35fd, 0x66cb91f9, 0x4f843bc9,
+    0x0e539aac, 0x8edae3f5, 0xb2b8359e, 0x23958b89, 0x1498eb20, 0xc1ac3701, 0xc59f0535, 0x5679407c,
+    0xa8258d37, 0x90c4f915, 0x105ce1a7, 0x1839c596, 0x6ce6710f, 0x60bf5a23, 0x5cc091de, 0x8e970da3,
+    0xf9cf9a0c, 0xaf219640, 0xbd5d2d2c, 0x5f4976a9, 0xdf924640, 0xce9fc854, 0xbd8fb668, 0xe9249fca,
+    0xd46f5dc3, 0x7e4d6321, 0xb6b0e41d, 0x1ae82013, 0xb0290fbb, 0x0d169152, 0x1506342d, 0xe08e5e9e,
+    0x1ae71929, 0x721393f8, 0x5f8bf5de, 0x6b8ec49b, 0xb997cb89, 0x4481dc2c, 0x16b1721e, 0x687cdfeb,
+    0x4349c21d, 0x9f3427c7, 0x3d84f150, 0xaa992043, 0x63711650, 0x17619565, 0x17973a61, 0xc7f0d701,
+    0x29887b54, 0xd9fb12fd, 0xdbf286f7, 0x8d60f453, 0xf8e8acb0, 0x704712fb, 0x808f4dcb, 0xdde68833,
+    0x04847216, 0x2a7a4e15, 0x05c0d646, 0xf6d92853, 0xa2e5ff2b, 0x69ba64fc, 0x26845baa, 0xdd4ce712,
+    0xc2e5f25d, 0xa209e110, 0x14383d39, 0x4ac9abca, 0x1685458c, 0x76660410, 0x7a9a8d84, 0x15e0cd17,
+    0x9fc3d7f0, 0x8cb1d7e2, 0xac9da4c7, 0xd25e6b8f, 0x3669e102, 0x94650537, 0x5d5e6441, 0xed6ffb6d,
+    0xd6c9f91a, 0x93525245, 0xbb22aa53, 0xfec9ad0d, 0x48a1af59, 0xc1513c02, 0xcfe3f7d9, 0x2d14cd69,
+    0x026bb591, 0x5482b4c8, 0xdd99573c, 0x9f9cb9dd, 0x49460d0e, 0x8e1f8ede, 0xe3561e2b, 0x9b0f99e6,
+    0x2a6c5207, 0xb17a9f2e, 0xdcc664b4, 0x13c93316, 0x0f6aa5f3, 0xfb818251, 0x385f298a, 0xcda5d04c,
+    0x941b2094, 0x9e3dde25, 0x54aab69f, 0xe032212f, 0x5bd1ea9b, 0x4c353adc, 0xb233b017, 0xcdf5ebe3,
+    0x1a94415a, 0x9dbd1dde, 0xc299530d, 0xe7daab71, 0x412bede7, 0x778ab154, 0x3b05f98c, 0xff215c23,
+    0x8c88f66b, 0x13978016, 0xe42620e0, 0x900cfaca, 0x251df78f, 0x14a3af18, 0x35e8052d, 0xbf3b800c,
+    0xf2aca3ed, 0x3d36e37f, 0x9d4c7306, 0x010038b0, 0x39a1a4d3, 0xac95e9e9, 0xe9bc8a0a, 0x38b4aefc,
+    0x225fb92c, 0xa55b5865, 0x3d916f49, 0x9c47b88c, 0x845029e2, 0x2f99713b, 0x4963e0f6, 0xc16db8bb,
+    0x81502023, 0xcaa29c0c, 0x26983c2f, 0x08f39a2d, 0xd934a9a6, 0x37227215, 0xd508f7fd, 0x06606e5d,
+    0x4e0d77c5, 0x59224755, 0x7c250e1b, 0x13a68af9, 0x7301a6ee, 0x21dc4021, 0x57528224, 0x8d6b7d16,
+    0xdcad5e37, 0x3768f51c, 0x824063d4, 0xa0255990, 0x08fe603d, 0xe5260114, 0xabf9dbe4, 0x287b1823,
+    0x6e055849, 0xba75b138, 0x150391f9, 0x3c0402d6, 0x724fb086, 0x0c215505, 0x4774add2, 0x1010cc08,
+    0x28b98093, 0xc6fa9106, 0x37cca3dc, 0x81535fff, 0x3b8566b4, 0x7943d8cf, 0xb6831ffc, 0x309086c0,
+    0xdcd56e5c, 0xdb6e6a13, 0xe4f6fa78, 0x4dbc195c, 0x1860a424, 0x16a64d7b, 0x5103b104, 0x82ec783d,
+    0x79c9516c, 0x7e5f24cc, 0x874eef89, 0x85c63ae2, 0x0159ed5d, 0x2a1bccb1, 0x9b8e595e, 0x8039ad89,
+    0xfbde6a27, 0x4fbe8dea, 0xc201518e, 0x70fa81b8, 0x44da52f4, 0x95c1a26f, 0x17f75083, 0xf2a9120f,
+    0x2149c316, 0xe2892104, 0xfd3cb738, 0x48228102, 0x67767e35, 0xca0f1796, 0xe0983d88, 0xe5d649ae,
+    0xba3b48a6, 0xc8491d13, 0x74f017fe, 0xd9d5827d, 0x302119dd, 0x76ec4fe1, 0x374a57db, 0x4a220bff,
+    0x09e57ad2, 0x238b6c66, 0x2c8ee358, 0x4fd927db, 0xb27700ec, 0xe03130be, 0x55c8101b, 0x93067a4a,
+    0xc408ddb0, 0xf0e78d6a, 0xaabf85fd, 0x0101d364, 0xdd971687, 0x4d5a72ea, 0xc81215f4, 0xcabdfcce,
+    0x9df3faf1, 0xc2458a0b, 0x5e851f2f, 0x57539215, 0x479820d7, 0x55284d6c, 0x546fa62b, 0x90ff0017,
+    0x6079ca2b, 0x1c1b96ba, 0xcb815644, 0xd48cb955, 0xe05a1146, 0xeeef56ff, 0xfb3edfc0, 0xe4a5d426,
+    0x90c94f8c, 0x21c015fd, 0x9bf8086c, 0x1ede7ae7, 0xe3c89dcd, 0x6d0f3910, 0x2ebfaf9f, 0x0b638e98,
+    0xa46a82a6, 0xa06280b9, 0x49f09fa5, 0x711ced37, 0xee8e3a99, 0x004748d1, 0x338c085a, 0x15987e8e,
+    0x90e88772, 0x0d4e5109, 0xc4b52fc4, 0xf6b526d2, 0xd2161853, 0x62063877, 0x0003d39c, 0xf45eaf91,
+    0xb83dc1d7, 0x60379a2c, 0x43dbb758, 0x849010f6, 0x92114ef6, 0xa9371e68, 0x760cba91, 0xfb7d84af,
+    0xbe5d48b3, 0xd036aa97, 0x7cc18a99, 0x3654e311, 0x024968ce, 0x11071f74, 0xd825c2ed, 0x6dc17420,
+    0x8ccd93f2, 0x15454671, 0xe1a56c60, 0x7b3b45b3, 0x62444f85, 0x24e60c61, 0xbf51a3eb, 0xcb32875e,
+    0xb2cde0f2, 0xc3d73177, 0x47d7fedb, 0x0e40c510, 0xfff1ce6b, 0xa587508c, 0xaedf6951, 0x21a88084,
+    0x32e40732, 0x5607088d, 0x66ca556c, 0x21677967, 0xa5b4ed72, 0x707c6909, 0x46ec16ad, 0xdb9e2c4b,
+    0xf4d33be7, 0xb800f1b4, 0xdfc7e41f, 0x8ede04d6, 0x3f35938f, 0x99691437, 0xb86a2ed1, 0x4004d11c,
+    0xee6aa725, 0x8fc2b5bf, 0xe27b490b, 0x50f34749, 0x5cf0fcab, 0x5eb0c2e5, 0x992d39b0, 0xb5975195,
+    0xfb93d14a, 0x5492a68b, 0xa9f1e525, 0x83152468, 0xd363f477, 0xaa0126da, 0xa5d8bfca, 0x127141a6,
+    0x64df8711, 0x39941ee0, 0x15660224, 0xe09861d2, 0xd146adbb, 0xafd4e8cb, 0xba4797b9, 0x9f7ed4fd,
+    0x4448c8f6, 0x68a166a2, 0x14fb067b, 0xc28dafc2, 0x1b79ae3f, 0x51f6656f, 0xaaa52c97, 0x9dcc9f96,
+    0x49186af4, 0x780cca56, 0x7aab78f5, 0x94e10c77, 0x15eac6e9, 0x61e1c260, 0x49039850, 0xa0fb4044,
+    0xed2f218f, 0xa09ee9da, 0x4ee06f7b, 0x48871192, 0x2878670d, 0x86e623a9, 0x433cb418, 0x7871b68e,
+    0xc4b706ed, 0x27912da3, 0x421886b1, 0x1f669ab8, 0x3db809b4, 0xaca7d908, 0x3ae8fbd0, 0x69a3b2b8,
+    0xf153d06e, 0x9e6ec6f1, 0x1fc61bcb, 0x9d192a9c, 0x9e5dbccf, 0x16454837, 0x93c0e821, 0x55223e27,
+    0xc3930f08, 0x8bd8bbe3, 0x10392270, 0x6f263b77, 0x20ca18f8, 0x625a22ca, 0xa655a9a8, 0xde1c795d,
+    0xb1a9578c, 0x3daa4c88, 0xea8db2c4, 0x2a3cbc8f, 0x192523c2, 0x0fe7c4af, 0x66cba6f3, 0x80b29d73,
+    0xa0e53418, 0x9f852764, 0x08f9ff97, 0x8a84847d, 0xbe006f24, 0x82c7539a, 0x13ac4e29, 0x81357814,
+    0xf3bf7fb6, 0x42981ffa, 0xddc799a6, 0x28080439, 0xd7ef8cd7, 0x34df54cc, 0xe220abe8, 0x20d62316,
+    0x38126c2f, 0xc340a514, 0x30d54edf, 0x609c65b2, 0x499512ec, 0x678d796c, 0x23a4033f, 0x57c26696,
+    0xfb304c13, 0xe4044023, 0xf695892d, 0x1fc3211b, 0x8b5ca7be, 0x66512b3f, 0x1f049659, 0xa3620157,
+    0x0305a419, 0x7efdbdde, 0xa9a18117, 0x3ad20e42, 0x0e22389f, 0x4a68dca5, 0xc2a0eb4f, 0xb3e6c526,
+    0x1faa1411, 0xc4b6cf55, 0xaf039563, 0xf753838a, 0x86cdce20, 0x3a804ddc, 0xb8eade7f, 0xa8e958c4,
+    0xd1a1dd51, 0x561bbe17, 0x0c521c91, 0xe1494858, 0x6c503154, 0x2046cda2, 0x55d43d23, 0xdfbd0184,
+    0x7709e8fc, 0xece8ddd0, 0x3bb622de, 0x75a9c336, 0x44d7b9ee, 0x133ebf03, 0x023bd2a0, 0x8dd92bc0,
+    0x276c6bb9, 0xb0757e01, 0xb2ce9fea, 0xba3deb6b, 0x1519182b, 0xa00a943f, 0xcfb1ec31, 0x2c9d7fe5,
+    0xdf513df9, 0x520b2f35, 0x39c9bd43, 0xd0b3527a, 0x5fe30790, 0x51d5e6fc, 0x6b5caac3, 0xac5bf447,
+    0x39c34b7e, 0x207d1a60, 0xc97980bc, 0xba4665c6, 0x1c306d70, 0xa74b77ef, 0xe114d94c, 0x888e9015,
+    0xfc8ed210, 0x5f8d74b2, 0x92df7efb, 0x6b245c73, 0x3bd5e9f2, 0x017c917d, 0xb498da1d, 0xe7d0de80,
+    0xda03847b, 0x259d4806, 0x335ccfb1, 0xefdc0b60, 0x5a5ff97b, 0x4a6729f8, 0x9dcc239f, 0x6216d5bd,
+    0x5fbbdf9a, 0x62a553b1, 0x4b4d5075, 0xa57c03e7, 0x60a8e349, 0x7ebc4b90, 0xe2cd297c, 0x1b98612b,
+    0x04c207bb, 0xb36e2f59, 0x4b7561b6, 0x8fc5343a, 0x6de3634e, 0xa75308f0, 0xa445b921, 0x277f0619,
+    0x1a370970, 0x8a13fa74, 0xaeb59f11, 0xbeb21329, 0x5ab1d4f7, 0x0bf67477, 0x75f551ff, 0x58f5cc4a,
+    0x78d24eb6, 0x8bfa1119, 0x697067c7, 0xd8b67230, 0x365483e7, 0xbd4eeccb, 0x7317186b, 0xf41c8477,
+    0x1d082620, 0xade7990e, 0x79c7f54d, 0x37156db6, 0x0274ec43, 0x46e2b284, 0xe5b711ec, 0x184a16ed,
+    0x6f7f5bab, 0xce1efeca, 0xf56759a3, 0xecb082a4, 0x66f295b2, 0x73720c9a, 0x80597ea6, 0x64fbf5e1,
+    0x2d3a6043, 0x2b5bc0a6, 0x0aebfb1c, 0xc38da0ac, 0xe664797a, 0x49d1823c, 0x11ece018, 0xbd9e944e,
+    0xf143f691, 0xc1830ee1, 0xa6709762, 0x6084c816, 0xa8fefc9b, 0x01564688, 0xa007d58c, 0x140d7230,
+    0x3a0dc559, 0x5a489861, 0xb043914c, 0x9896f3b6, 0x734a42e5, 0x4b5e791f, 0xe921cb2f, 0x540802f3,
+    0xea85f3e3, 0xdf102c18, 0x5496845f, 0x8264a399, 0xb12eeada, 0x317cf931, 0xcbf248c1, 0xf94dec1b,
+    0x2a863bed, 0x4e4a5fa4, 0x451f7129, 0x73d20b94, 0xdf6f07e8, 0xe105e9fa, 0xf0cce8c8, 0x9353242d,
+    0x0e15f31b, 0x27f1da51, 0xfa387297, 0x47c9240d, 0x35e07d78, 0x82ebca82, 0xb7788c9d, 0x1b7addbf,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000008589934592 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffc, 0xad961ecf,
+    0x00000000,
+    0xde1ea864, 0x42df6fe1, 0x4da5f4db, 0x6e47196e, 0x8c833f34, 0x098b48d8, 0xf7062a90, 0x048ccb3c,
+    0xbc230871, 0x8fdaefe5, 0x3b58c37d, 0xc05d945d, 0xb925105f, 0xd90d90f6, 0x2195910c, 0xdcf6de31,
+    0xe1375443, 0xca985086, 0xeca78ef2, 0xe0b2a7e6, 0x3152504a, 0x1607b4fd, 0xf5fb8777, 0xbcd8ea15,
+    0xf9f7e972, 0x6c430043, 0xaa738ead, 0x167983dc, 0x3d9deeab, 0x660a08ba, 0x12b52eca, 0xb2fdfe60,
+    0x7b0d1e06, 0x53d8290e, 0x2f3f2f33, 0x44d3976e, 0x27349106, 0x6f08c7e3, 0xd1f07639, 0xa53eaea3,
+    0x1a17c034, 0xca3e336e, 0x66fb3315, 0xfec4abdc, 0x4b3dc4e9, 0x8d9e906f, 0xcefa1a85, 0xe77551b0,
+    0x6757a854, 0xf03a5b27, 0xc20664e6, 0xc86ecb43, 0xc96ee331, 0x2d72012d, 0xfccc92b3, 0x94356b55,
+    0x3d27dbfb, 0x58e4ebf1, 0x657bfe13, 0x5c33ccd9, 0x8d1cda06, 0x26223225, 0x53ee3a10, 0x778e542e,
+    0x72978dc2, 0xbd8a1667, 0xfe68af5d, 0x3bbeffcb, 0xe68a7874, 0x0c423435, 0xa24eb7d8, 0xc428caa9,
+    0x502ba80d, 0x92590b7b, 0xda5db8c5, 0xf78c95dd, 0x4041662e, 0x2983a506, 0x5c8600ba, 0xa4c835e4,
+    0xcc8b658c, 0xfb776070, 0x954d7481, 0xe0b6aa96, 0x85b89e99, 0x227fd8a1, 0x179cbb1d, 0x4fab88ec,
+    0x9d3fd33b, 0x2a77a7a7, 0x2d125569, 0x29fbaee8, 0xb7fbe741, 0x4afea2bb, 0xd87dcda7, 0x0d067355,
+    0x1e34a7bc, 0x43f6467e, 0x4a72a0be, 0x71bfca99, 0xf6837882, 0x7bacba76, 0x2e68fb56, 0xc70c9587,
+    0x72d9aa27, 0x6bdfe2c6, 0x95f351a3, 0x2455bdd7, 0x31589f9f, 0xd067bbd1, 0x2c8ade09, 0x9f91336a,
+    0xe6745d48, 0xe02455ec, 0x1a414380, 0x5441f331, 0x408017f7, 0xeb88eec1, 0x0018cbef, 0xdb13742e,
+    0xd04e6fcc, 0xc04127f2, 0x49ec3b54, 0xa59d6664, 0x7dd6aef7, 0xdf1a353d, 0x097570f8, 0x0e2243d0,
+    0x4aac3f00, 0xf72341ac, 0xea4b501b, 0xf9881469, 0x629a9d96, 0x9f63f723, 0x7c1af5e4, 0x6a3a239b,
+    0x7922ca59, 0x49386d31, 0xb5845ddb, 0x1a002bd0, 0x0ccd8334, 0x7e7c708d, 0x3e75d721, 0xcbe4788c,
+    0x0df61620, 0x0978d69b, 0x0e3884e4, 0x9738be12, 0xaff14eb5, 0x808897cc, 0xf6bfaf8d, 0x7084b3e9,
+    0x7f0b11bb, 0x7e1135cd, 0xd5b3cb7a, 0x32caeab3, 0xaa55edc7, 0xbeb10419, 0xe194a624, 0xd8438e81,
+    0xe44225cc, 0x13f31842, 0xb7b487ef, 0xeb23e1fa, 0xaf43d02a, 0x3c556f7a, 0xb6bc68f0, 0x7c6f6377,
+    0x582ce5f7, 0x97e8a23f, 0xee10af1b, 0x8fb64edc, 0xba4a7f6a, 0xd4850b71, 0x5a442db9, 0xc703fa27,
+    0x313098ac, 0xd540e074, 0xf727cfa5, 0x05afb603, 0xaff05313, 0xba8d9e0f, 0x00ab0129, 0xde0b9ddc,
+    0xfca3f212, 0xae4db5a8, 0x38329247, 0x3c1a703a, 0xac1b024b, 0xa31e4cda, 0xc627d6d6, 0x9431321d,
+    0x6d44df3c, 0x98286cdf, 0xbedc109a, 0x20c8b6a7, 0x03a9787d, 0x679824ff, 0xad32ee0e, 0x1ee808ef,
+    0x487b7554, 0x41a07904, 0x493d2624, 0xc6fbfa85, 0xe9862875, 0xdeb2be66, 0xd3b40625, 0x87071a01,
+    0x2f49adeb, 0x7e73350d, 0x8c7edca5, 0x81ac5a97, 0xffc98782, 0xba291355, 0x054968ec, 0x43d360eb,
+    0x4bd6a9c9, 0x63e24505, 0xff8ec1f3, 0x2626e7aa, 0x7d16b923, 0xa4a8fcb5, 0xd02140b5, 0x1fa76e20,
+    0xfc9d32df, 0x296e6ce4, 0xe88c2c7a, 0x9f51908b, 0x521a2b41, 0xaaeacc23, 0x30631fd2, 0x3ed6b3dd,
+    0x1e469f1a, 0x83a19cd6, 0x7f00850d, 0x7ee14906, 0x16b733e1, 0x0a43d72d, 0x4f0d26fe, 0x223f0154,
+    0x800f917b, 0x1018b77a, 0x354297c1, 0x7d12af44, 0xe3987fa9, 0xbcdf2c50, 0x01a9c6e3, 0x28184d32,
+    0x0a585ba6, 0xf65835d1, 0xdf7e5395, 0x57e5175f, 0x58af9a80, 0x5aef1038, 0x5b1c94b8, 0x46ffc9de,
+    0x71d336fe, 0xe4486440, 0x841322d2, 0x896caecd, 0x372c3246, 0x94163164, 0x0703b7ed, 0xa333fa75,
+    0xf02a0a20, 0x28d7f2b9, 0x958f35b5, 0xf7b2cc99, 0x85805022, 0xc1734a6d, 0x70c7d35e, 0xd0800dc4,
+    0x290be292, 0x99883bf8, 0xbef85bcf, 0x2d3dbb99, 0xb2fe4f04, 0x0d7d9abd, 0x6bbf9c71, 0xc6fe158d,
+    0x1fe962e4, 0x638d24d8, 0x2025bcf2, 0xba4668de, 0x1c4d7274, 0x9689e82a, 0xef730610, 0x03cb0c37,
+    0x8d6d434d, 0x8ef0daaa, 0xf07bfe31, 0x3fed0687, 0x17a905f6, 0x6563b11b, 0x1c5b44af, 0x9f9e43bd,
+    0xda8929f5, 0xe110f967, 0x71d6affc, 0xa9dca27a, 0x293cae5f, 0x36c9511f, 0x8df95bbe, 0x8da4f8df,
+    0x69c04d2a, 0xd6ee4b56, 0x35861025, 0xe54582ff, 0x6d43037a, 0x551e5b7f, 0xf4cfdb58, 0x49572c44,
+    0xae86580f, 0xaf8cd1ad, 0xa01f2f4f, 0xb047eedc, 0xa1bb74d6, 0x5d41b276, 0x36d4bfda, 0x60b8f9cf,
+    0x34056be8, 0x988279b9, 0xf76737b9, 0x51e4c8d4, 0xe428bc49, 0x92cb1f22, 0x0a2f52cc, 0xc2dcc339,
+    0xc4107811, 0xfae2048b, 0x28f03f17, 0xfadfbf3e, 0x51740436, 0x1bb347b8, 0x9acd3ba8, 0xbfe6ec19,
+    0x05f4c89a, 0x25db0110, 0xd7a78a39, 0x9d65a876, 0xc711d77b, 0x3d117da0, 0x6b75827e, 0x63e24f5f,
+    0xac67ac12, 0x06a4efc0, 0x0d9322cc, 0x6a54cd0d, 0x5923bd23, 0x0589b24b, 0x6d0e7149, 0xf5151e60,
+    0xde9b9802, 0x0d60cecd, 0x23613d7e, 0x761815c2, 0xda159aff, 0xfb75fb5f, 0x2c08cbff, 0xda7c98e4,
+    0x3541d2f7, 0x6620771f, 0x442b5c2f, 0x6306f445, 0xe4ac733d, 0xbc1a42d7, 0x9d7873ef, 0xedac4b00,
+    0x893e3932, 0x5c8cc6f8, 0xaa587eed, 0x18b084ec, 0x7a4dbdee, 0xfbc9d2bd, 0x4cc43815, 0x61dbb78f,
+    0x339f94e1, 0xb4fff859, 0x603943c9, 0x197ca8e5, 0x26dfb937, 0x59601589, 0x51686078, 0xcfa564f9,
+    0xda826cbc, 0xd7e1750d, 0x2ccd6e1d, 0x26e1a0ac, 0x649a18b2, 0x50c0fb56, 0x34e9f8b0, 0x57cb1eac,
+    0xdeb5a979, 0x8aefbd82, 0x4998ed18, 0xa4ab865b, 0xff05d1a5, 0xa4ae4229, 0xaadce20a, 0x32548b67,
+    0x80063dd1, 0x759cd6e9, 0x4e4047f1, 0xa58ed567, 0x8a77660d, 0xd9013c41, 0xceab38f8, 0x9f4dfe84,
+    0x2247bdc1, 0xd567be11, 0xb783d22a, 0x03c59798, 0xa1f9fee1, 0xd9df9e37, 0x424f4b5d, 0x84f6f5b8,
+    0x3584abad, 0xf0d4ac0c, 0x2259dfa2, 0xb6d8616f, 0x56b3ea09, 0xf34646a4, 0x17edb816, 0x835422a2,
+    0xd9a05c50, 0x550b2bb2, 0xc6976789, 0xd89a51cb, 0x82eeab2e, 0x3789908c, 0x3620f69f, 0xdc2d783a,
+    0x26e3d712, 0xcd904b58, 0x35345f1d, 0xb15c6e1f, 0xd0744dbf, 0xcfd158e8, 0x57430c08, 0xa4678c2d,
+    0xf89844d1, 0xc81e5ea2, 0x915e7240, 0xdf0ea747, 0x9f898492, 0x4008e3e1, 0xd28ce7a7, 0x3e24016a,
+    0xe9a86893, 0x6ae89f01, 0xebf63c3e, 0x619b8ad3, 0xe5f1f967, 0xeb2c0e7d, 0x0fb9c1d8, 0x2d455f4d,
+    0x96415b9e, 0x60eeeac3, 0x54485d2b, 0xf1f2e375, 0xef917eaf, 0x77d99513, 0xabb833c2, 0x11d27d71,
+    0x2e689853, 0xd9ce3fab, 0xf9868499, 0xdb04d549, 0x85adb28b, 0x257dffe0, 0xdce1134d, 0xe7c84441,
+    0x82f72dd5, 0x84c80b60, 0xce14f8e4, 0xf2973724, 0x79a1c003, 0xb290dbbc, 0x7b1c8f45, 0x040be61a,
+    0x06f91775, 0x300ed40c, 0x4da49080, 0x7c3ff789, 0x0bd6c57e, 0x2b7a2903, 0x5119dc79, 0x0c49bfee,
+    0x3843c7c6, 0xc3b97d82, 0xafca06f6, 0x1d21f6fa, 0x9af464fa, 0x9f79300c, 0x696d93b5, 0xbe797014,
+    0x6a8e08cb, 0x3bbcfe6d, 0x3d42c913, 0xcbc8a783, 0x61a29bf2, 0x55564b91, 0x70191604, 0xc12bea29,
+    0x6818a9d3, 0x973310a6, 0x5f56b54c, 0xd0ef78aa, 0xdef8d976, 0xac8e8b0a, 0xa2a51796, 0x5d9d4db9,
+    0x81758552, 0xf0a92e05, 0x66abdf57, 0x9964e349, 0xd18c31da, 0x37d4741d, 0x84dba1af, 0x74d29f52,
+    0x58dc5373, 0xdf404b18, 0xc2b4f3a8, 0x78a01bee, 0xf15da863, 0xbba06fc3, 0xa7c47f64, 0x2dedab8b,
+    0xa7be7d00, 0xd996c7eb, 0xc0296709, 0xb429591d, 0x61caa45b, 0xad936e91, 0x2a2756c9, 0x61512da0,
+    0x31e79a6a, 0x7d09c2bb, 0x72c011ff, 0x2165a908, 0xaa8e94a5, 0x205c0442, 0x66901668, 0x58c2fe08,
+    0xe1512e2b, 0xab24abc4, 0x642d49b2, 0x3facdada, 0xe458ecb3, 0xada99526, 0xd363eba4, 0xea95921d,
+    0x94d0348f, 0x6d035842, 0x8c435d61, 0x4256a0da, 0xb781863b, 0x74bc6902, 0x6d80bd8f, 0xd580a248,
+    0x0b5dfb25, 0x67e184f0, 0x860d9f64, 0x12fb034d, 0x8549f57e, 0x4b4eaa70, 0x62b67f35, 0x6a06e3ed,
+    0x5c7af9de, 0x542f2f7a, 0xc996789b, 0x5995fa32, 0xb87d1c08, 0x0847b5c7, 0x6798caed, 0x0f2b2928,
+    0xe79239a7, 0x14ca1255, 0x56c69dcf, 0xe9963c19, 0x026f8099, 0x396a35c7, 0x5bdc0826, 0x22a53565,
+    0xb2f1961c, 0x4acf1e3d, 0x1cca00f0, 0x2d28afe4, 0x0e159f4a, 0xaff03ee8, 0x6e51bbb5, 0x3e5c3957,
+    0xd44338b7, 0x2019a3fc, 0x3eeb0047, 0x460354a2, 0x2eee3a93, 0x542f18c9, 0x5e18a00a, 0x7923f61f,
+    0xdf815ef6, 0x3ba40400, 0xfb130688, 0x680328f7, 0xa09fa88a, 0x0ea80c71, 0xdc3971f3, 0x60f76419,
+    0xd9f28539, 0xc46beed8, 0x64e6e175, 0x8a0c959e, 0x4c4249bb, 0x1f556904, 0x036146e3, 0x43e476f4,
+    0xe73414d4, 0x9f72bc74, 0x04054469, 0x2cf4623b, 0xce4840ec, 0xa2f94105, 0xba51d27d, 0x3b29f769,
+    0x09ddb5c1, 0x721b432b, 0x241e89b7, 0x827a6c76, 0x0a55395b, 0x0332818e, 0xbdbd085b, 0x83d94af1,
+    0x8c0e2359, 0xe39f41df, 0x8bf16d7f, 0xe971c30f, 0x4d96ead3, 0x56e27546, 0xa1c0afac, 0x693e1d63,
+    0x4129509d, 0x2894995b, 0x120636f9, 0x5fba55d3, 0x9866c7d0, 0x4e658e27, 0x3066db9a, 0x59cb9406,
+    0x040706fa, 0x16ac9ea2, 0x9ff0c6e8, 0x10cc68cb, 0x705bd468, 0x6c04eefe, 0xb5de6723, 0xd05f8ae9,
+    0xa7f04a1c, 0x5e0b1e69, 0x8a537da2, 0xf1248fcb, 0x5d481d19, 0x59d5cfe0, 0xd594c7a7, 0x4b7acfcd,
+    0xd640635c, 0x2df6b2bd, 0x85c7fa62, 0x473aecca, 0x2a93f7fa, 0x087a4ebb, 0xfa002a0a, 0xfe93bc50,
+    0x4472e3de, 0xf6bd8384, 0x08eb97b1, 0x4ff18595, 0xe760e3fb, 0xea80b12d, 0x42a5d46e, 0xcb2c1634,
+    0x9c5e4274, 0x519bdd26, 0xe1b66753, 0x0de2b802, 0x515ff9c0, 0x6115eec5, 0x4756267a, 0x6e6c2347,
+    0xed4ff312, 0x873fc84e, 0x640ece7e, 0x2148ae72, 0xa8e54c2a, 0x01b7fee7, 0x73a42d97, 0xbf549454,
+    0x8e8d952d, 0x1cbeaf11, 0x2c2cadde, 0x8f85f88c, 0x30fede68, 0x15b59b93, 0x77d1de25, 0x8904116a,
+    0x140cc4c6, 0x145fbe91, 0x80e96e33, 0x87f26950, 0x7b65ac6a, 0xd98cb222, 0xbd365a5f, 0xc26108d1,
+    0x2e6bd68d, 0x8cf9c38a, 0xe3c0519f, 0xfe273bce, 0xc7f9ac43, 0x995dd00f, 0x10785503, 0x44ef8bb1,
+    0x5b43806b, 0xad7f6f96, 0x62e3d814, 0xfae6e593, 0x251e8463, 0xc0238807, 0x05018029, 0xb532b78b,
+    0x291e2862, 0xef9eb5e7, 0x1be66963, 0x98e288b3, 0x5e4a6d33, 0x48842a33, 0x6562e453, 0xe5818d30,
+    0xd878aa58, 0xe0e81251, 0x32b2da2c, 0xd7948c90, 0x488703db, 0xc7d23823, 0xce39be15, 0xd67f01b1,
+    0x325190d0, 0x222babb2, 0xeb0ed5c7, 0x614c282c, 0x91698a13, 0x969602a7, 0x1dd4660e, 0x466ab36c,
+    0x1b8f805e, 0xf7baf4cf, 0x8833cd9a, 0x8e5392be, 0xcc671082, 0x1ab81d90, 0x95064959, 0xe4087b6d,
+    0x3cde2788, 0xa9097869, 0x68d45bbe, 0x660221f5, 0x8c7f42cb, 0xb1042843, 0x3c51913e, 0xf604cfc9,
+    0x5b39c26a, 0x979f9609, 0x3b5b5ce2, 0x8df39bf5, 0x4e83ef4e, 0x27eff12f, 0xc3878c94, 0xb38faff1,
+    0xc55ad6ad, 0xf533ec0d, 0xa2790344, 0xfa1a8237, 0xeb5d94a9, 0xfaaee7f8, 0x76eaec6e, 0x5d2fb9dc,
+    0xf7519898, 0x0f7b4525, 0x90dea70c, 0x01b8190d, 0x30b39d1f, 0xf74a6d6d, 0x94e933ca, 0x90a638d1,
+    0xb341f7e8, 0xf75c354d, 0xa0f209ff, 0x5687caa5, 0xeea238ec, 0xd7db5122, 0x1b1699f4, 0xea0b5ad6,
+    0xf599bbd1, 0x590ad3a3, 0x6da43fb4, 0xc4f6323a, 0xac587461, 0x64e8ea72, 0x4b422463, 0x07f76ff3,
+    0x4f1ec07d, 0xcd1d6542, 0x1cfe0cc3, 0xd14de530, 0x2fc29e6d, 0x400b9ef2, 0x9973aa31, 0x3ae2d9b3,
+    0x488330cc, 0x7ac76e73, 0x6c8fb3d1, 0xc9bb19c3, 0x06ba48db, 0x8f5030ed, 0x418ad947, 0xd94df691,
+    0xa80f521c, 0xf08e2965, 0x91768893, 0xed168928, 0x768e770c, 0x4460c365, 0x1cc4c316, 0xe2371f28,
+    0x6d93207d, 0x43147ef8, 0xbedb715d, 0xe04d40f9, 0x707dc9b6, 0x04615116, 0xdd15c106, 0x22b361c6,
+    0x48734ce5, 0xe6844a9a, 0x8aa45985, 0x619316fe, 0x365ec238, 0x8fcea16f, 0xc03693cd, 0x6da8f170,
+    0x79cf5906, 0x501abf00, 0x444e72b1, 0x55733cf5, 0x00ec2a7a, 0x24ecdc86, 0xf4381bf9, 0xe79187b3,
+    0x23fab132, 0x8dbcc531, 0x3c2f2560, 0x99c744d7, 0x5a9240a0, 0x70c2d27e, 0x2785cc65, 0xdbffb106,
+    0xd4914f09, 0x4d2a001e, 0xcd6186db, 0xe61f3b24, 0x3296b2d5, 0x2e7d5e78, 0x084e041b, 0x6428cd67,
+    0xca6bbb85, 0x3fa62534, 0xe833fdd9, 0x33720684, 0x10e13d46, 0x0b21da45, 0xa0cfe042, 0x7b30bf66,
+    0x04c24d52, 0xa8927a87, 0x5e33b7f5, 0xebe2ba69, 0x8135da89, 0xaf314a81, 0x2a281393, 0x14d55775,
+    0x9793c4cc, 0x5f40edc6, 0x0f21b8d5, 0x60af044d, 0x77a4e2b5, 0x49e4065a, 0xccc1a428, 0x976219dc,
+    0x0e2c8b9c, 0x49ce5ba4, 0x86ceba62, 0x775d0946, 0x9e09ddf5, 0xd3e03340, 0x19f59e14, 0x86800881,
+    0xa51d94fe, 0xfcd872fe, 0x7e0205d7, 0x04c4d959, 0x59c25775, 0x046b8b88, 0x60b21973, 0xf8700a5c,
+    0x1cc3e155, 0xf09a809a, 0xb78e4b8b, 0x21b2eaf2, 0x9f8f6416, 0x144dc353, 0x7bd52de8, 0xa1ade4fc,
+    0xc9edf009, 0xcb911105, 0xc0af87a2, 0x284f93d2, 0x56cee6a7, 0x610b0f01, 0xec503af2, 0x73c43e8f,
+    0x43efcc5e, 0x2613d28e, 0x544bc338, 0x6be26b7c, 0x5a63dd11, 0x32c4202a, 0x18d40a44, 0xca99bea8,
+    0xee82a196, 0xf805b59f, 0x6f28f576, 0xe5dce138, 0x6983c6d1, 0xb8329fc3, 0x215dec0d, 0x63ae7880,
+    0xb9c94e70, 0x9af566ef, 0xc3582d7e, 0xe1dbe7f5, 0xc44bd679, 0x66b1831d, 0x01bcd86c, 0xa9545016,
+    0xb4dea53f, 0xbcfecb94, 0x5a9b82b6, 0x6b1ed58b, 0x1ab7f8ce, 0x0e2277b6, 0x527a9e02, 0xd901e18d,
+    0x08798a3d, 0xba9c31dc, 0x82a4bace, 0x4537d38b, 0x5d81a62e, 0xb6ecb6b8, 0x24613816, 0xeeafd63f,
+    0x26717769, 0x1e897da8, 0x5c4574ed, 0xd383307b, 0xd881ab90, 0xfbc3672d, 0x666c65ea, 0x1bb31ca4,
+    0xa0f34454, 0xc44de517, 0xcb9ef85c, 0xf2a477fd, 0xfd585629, 0xab8fe68b, 0x2b058147, 0xf6f84af2,
+    0x3177c1fa, 0x6e26f240, 0x6edc3eca, 0x7b3d644b, 0xbd8661a2, 0x0baa84fd, 0x8147be3f, 0x4b978132,
+    0x592def4d, 0xcf978376, 0x9f4ed8e1, 0xf72dda33, 0xb66ab5d4, 0xb7da23c9, 0x57cfd7ac, 0x9027426b,
+    0x6f0c240d, 0x3d3bde8b, 0x0a76bdc7, 0x04b4ca5e, 0x25ee8493, 0xacb25b0d, 0xe6e339d4, 0xf11edebd,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000004294967296 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffe, 0x56cb0f67,
+    0x00000000,
+    0xa89dad03, 0x665a58f2, 0x32aa1f1f, 0x0ecc43da, 0x1075fb3a, 0x682ba22b, 0xb7a2c4e5, 0x8fc650a9,
+    0xb1f33faf, 0x5b08e4d5, 0x3524df67, 0x2bc8485e, 0x6c3841d7, 0xf5525f5c, 0x51d205f4, 0xfd67b80e,
+    0x0c6a7c72, 0xe89d6a85, 0xab525d2a, 0x433f322e, 0x2e265508, 0xe621c1fa, 0x2e0eb110, 0xea462103,
+    0x569c5ca2, 0x7781ccda, 0xc0688127, 0xc11ee339, 0x22022bb0, 0x1816e2f6, 0xda9152d3, 0xfd572d67,
+    0x321833c2, 0x1336aa22, 0x6a2761cd, 0xa373eb4f, 0x397be76f, 0x3f4cb7c8, 0x7397a5da, 0xd02d9a2a,
+    0x55eced02, 0xa1a93e29, 0xb10bc7be, 0x255b5a88, 0x74a2effd, 0x7a2f2b57, 0xf7a7bd27, 0x829ef0df,
+    0x10ded21c, 0x3bff803b, 0xfae7dd7f, 0x8e9c0227, 0x04028ea0, 0x9576ebfd, 0xdd4b3180, 0x63b1a668,
+    0xef3f09a0, 0x90778c3a, 0xd629f457, 0xa1c39436, 0xe6c0fb27, 0x1d4566ab, 0x20deb1e0, 0x7a24947a,
+    0x022fb5c0, 0x20ec5266, 0xa16d803b, 0xff7c3460, 0x23b0f9fb, 0x28f2f575, 0x596ec48b, 0xa978e4be,
+    0x55c804d9, 0xcd08c28b, 0x0819b8de, 0x29c976a2, 0x0f10ac24, 0x564d0d7a, 0xd1a2d013, 0x75233208,
+    0x7c48a331, 0xec54cbad, 0x7510d1ee, 0xe8c2d72d, 0xd8144131, 0xaf8da957, 0xdab66b1f, 0x21224098,
+    0x9daf0346, 0xf9ba59a3, 0x7756383f, 0x7905b100, 0x61333df2, 0xf0b3099b, 0xd0ba7984, 0x944858a3,
+    0xc283ef68, 0x1922aed6, 0x082f4559, 0x824cf03a, 0xaa20170d, 0x226ce8bd, 0xe3b3ea1f, 0xefb6c170,
+    0x4dda1fd2, 0x37f5b260, 0x32e144dc, 0x9eb0f083, 0x6424bb8b, 0x82977439, 0xbc65fb86, 0x8896b377,
+    0x98a772fc, 0x7dfa359a, 0x08fd1f63, 0xfc3db7a0, 0x950d90f4, 0x68575d25, 0xd0cc2625, 0x87e87ff0,
+    0xdb6ba7b5, 0xb2b693cf, 0xba1d5eaf, 0x393efc91, 0x70418316, 0xac54a3fe, 0x3db7f811, 0x067f27cf,
+    0xe5307656, 0xa9de32ad, 0x4878729b, 0xb4f25c58, 0xda618735, 0xfa6b9674, 0x97cc9f4f, 0x61e61a66,
+    0x02c386e5, 0x8f6704bd, 0xa4502b8a, 0x834acf8f, 0x366ca1cf, 0x78fc0f78, 0xb15013fa, 0xb3e478dc,
+    0xda11cdfa, 0x9f3187d5, 0x4e38eea6, 0x9d0699ba, 0x3fe6738f, 0x804723b2, 0xb3e1b1fd, 0x7a535888,
+    0x08d26d37, 0xd2230597, 0x1a707f0e, 0x00f598fb, 0xef647f27, 0xbe072383, 0xdab15e59, 0xf9f520dc,
+    0x6c88c285, 0x0c863029, 0x04136f33, 0x590d71a8, 0x7bb13802, 0x5eeb2e3e, 0xbc2beba3, 0x7e45abe4,
+    0xea817fb9, 0x60d38a7a, 0x7e40b98d, 0x0feeb84b, 0x3001384c, 0xa2a9ad41, 0xce0a4912, 0x852d1640,
+    0x80b97e04, 0x47486e5a, 0xc9876f6b, 0x184e1c5b, 0x09175bff, 0x68e30e46, 0x7db32479, 0x93df7ce5,
+    0xec15fb3d, 0x37e5c1d7, 0x1aa58b8d, 0x9d65cdb2, 0x8b301891, 0x3795ca73, 0x5313c8f8, 0xbd0c0d41,
+    0xdf6e613d, 0x273c4f4e, 0x67969315, 0x253de9d3, 0x004f8683, 0x2c68a871, 0x65246004, 0xa87e2b60,
+    0x68e8286c, 0xedae9383, 0x6d90ab46, 0x70f1fefa, 0xa3c563df, 0xda302e12, 0xaf110bcf, 0xc8909cb5,
+    0x90a19f12, 0xf392b062, 0x613077c7, 0x9243ca24, 0x0a3d891f, 0xa890d6d8, 0x4645456b, 0xd8b00316,
+    0x4aaa5769, 0x35a0462c, 0xa1964f31, 0xa272bb1e, 0x49a428e4, 0x05c39266, 0x468ae088, 0xaa400a4e,
+    0x1df0661b, 0x84c6975f, 0x86b355f7, 0xe817b8d9, 0x2b85146a, 0xafc99152, 0xb285b5ba, 0x1578981c,
+    0xb23e844b, 0x17016022, 0x949c13b9, 0x6fee84c8, 0x44de99d4, 0x05599ef2, 0x5f709104, 0xcf710563,
+    0x6ad8d8d0, 0xd349206c, 0x7e21bc41, 0x941c8fb9, 0xdd50e64f, 0x389333b2, 0x4c4cda3b, 0xed365f9d,
+    0xcc172d23, 0xa822e905, 0xaae27e53, 0xe34d051d, 0xb0832e98, 0xf57119f9, 0x501248a9, 0x76eed0bf,
+    0xdb774c9e, 0xcfb03a89, 0x82c1c396, 0xc6828893, 0x01e21c6c, 0xe1946747, 0x6da7b4f6, 0x5cd1004a,
+    0x4a9817d8, 0x7626d2b7, 0x42b2f761, 0x72f47398, 0x9de01de2, 0x3a8b6e7c, 0x3e70ee6f, 0xb308adca,
+    0xc40443f3, 0xd79c143d, 0x67cd93bd, 0x2e8351be, 0xf313d881, 0x84b00bf1, 0xc5a09528, 0xf9923b5e,
+    0xeb26f6c3, 0x3cd7db0e, 0x7f1ff59f, 0x2029b68f, 0x40b52306, 0x4457d8e6, 0x5dfb2c44, 0x8a0dce8c,
+    0x5cc6e28b, 0x821865e4, 0x9ec1e253, 0x8a72a258, 0xc52021ba, 0x919cbb7f, 0x4a22eb0f, 0x0af03c35,
+    0x0c3ad051, 0xfbc10afb, 0x7275d65a, 0x9afec2e3, 0xaab982d3, 0x272ed38e, 0x626d2901, 0x75e4ebd5,
+    0x5c96f35d, 0xe2882bc0, 0x6709f807, 0xdcbd10e9, 0x3f66ad43, 0x6056d3b0, 0x651f4ecc, 0x1a7e4491,
+    0xade6fbd9, 0x0a0ec267, 0x09f612cd, 0xfd1e66dd, 0xa008f1ff, 0x293b3baf, 0xfe3b04e9, 0x11fc3191,
+    0x24136983, 0xb97c9bfe, 0xbd0ebe81, 0xa54eb33d, 0x1c0ee1a0, 0xaf24ac78, 0x80d85761, 0xe1e8f16c,
+    0x140f337d, 0x26689eaa, 0xc50a4892, 0x6241a479, 0xd1024ba3, 0x542ec1c8, 0xc01c4767, 0xf8f99b0c,
+    0x1be1f919, 0x0925c7cc, 0x00b57541, 0xa9ffe80a, 0xb76d1bec, 0x5022ee3b, 0x2043ee08, 0xbec9e950,
+    0xf9abc3a6, 0xa6b21532, 0xd583e164, 0x998e26c6, 0xb58e502f, 0x78e6842b, 0xff84de4a, 0xcae9fbce,
+    0x9220d502, 0x5e04edd9, 0x84ef4d85, 0x874ad5a1, 0xd398a78b, 0x9aa0b514, 0x48fab90c, 0x171c775e,
+    0x830d1401, 0x12cd4135, 0x1442f910, 0x716e55a4, 0x716e9df9, 0xb251fd4e, 0xe1fc8384, 0xf61cce9e,
+    0xc827c94e, 0xa6bfb4e4, 0x09657c5f, 0x335ee712, 0x2da36cb5, 0x9b23753d, 0x259f8a23, 0xee49adaf,
+    0xb8b7490f, 0x7209d777, 0xc44806f9, 0xd0e7661c, 0xb38b4d53, 0x331e2b4b, 0x59dde067, 0x3e6d4ea9,
+    0xf10887b9, 0xfea44887, 0xb691ef63, 0x47786135, 0xabf887a4, 0x629c599a, 0x22cc21c5, 0xe75062b6,
+    0x795abfbf, 0x14421f33, 0x3253eb2a, 0xb241fc93, 0x25d8e638, 0xb932acaa, 0x98deca34, 0x17c62e77,
+    0x28939eec, 0xf7449c08, 0x1735e9e0, 0xde4689d8, 0x59fbc1fa, 0x464b7855, 0xe46ed3b1, 0xea1c7613,
+    0x53fffcd6, 0x20db94ff, 0x73c25f4a, 0xeb8ad992, 0xef6c2b80, 0x298b68e1, 0x28b83697, 0x6f08746e,
+    0x118ca686, 0xe73074cd, 0x3dbf2c14, 0xfc95026f, 0xaab7abc9, 0xac8089bf, 0xa3136ff3, 0x2d5358b4,
+    0xaa98eea5, 0x19a19aff, 0x22fe5edf, 0x4baca54c, 0x34d8c0ff, 0x9f518b16, 0x36ffda7a, 0x3b48e225,
+    0x81b43aa3, 0x06023eb2, 0x418939fb, 0x7f34f22a, 0x5cf3adf2, 0x4d6d3135, 0x8d7862e6, 0x23e856c3,
+    0xfa0dbebc, 0x2939e334, 0x27f54eb4, 0x7aad8774, 0x40c41523, 0xebef1cf7, 0x4e870e95, 0xf0d55b84,
+    0x6f0b6d34, 0x8affd218, 0x1dd83e62, 0x9e18d33f, 0x03fe1d17, 0x4822d243, 0xfd8516c9, 0xc39ea9d9,
+    0x28b1d286, 0x64903994, 0x9456b197, 0xe415a7cd, 0x5b164479, 0xe4d0bbaf, 0xe7c62a73, 0x875159e8,
+    0xa7218d01, 0xd515905d, 0x48e7ff2c, 0x2ba8d5b7, 0x0036f60a, 0xb73c1616, 0xd2c6bf9b, 0xf43de1ac,
+    0x291c3ba2, 0x2d32bf3a, 0x84023c93, 0xbeb87599, 0x6b8a61b1, 0xee5874b2, 0x52a426dc, 0xce50c877,
+    0x95657571, 0x0f826113, 0x6af41c28, 0xdd1929bb, 0xf1cfdde7, 0xd1d3e95c, 0xc51caca6, 0x090ed72a,
+    0x4312a07e, 0x1a07a84a, 0x2aa9aff3, 0x3761e542, 0x8b2743b9, 0x4c408b19, 0x8ababade, 0x91e6a721,
+    0x2cad530d, 0xfe945ffb, 0xefbe25d9, 0x5fb1c686, 0x0049d5fa, 0xc9c09a58, 0x0b6653a9, 0x56b27feb,
+    0x7fad4b75, 0x6ba0a9a9, 0x72805ee9, 0x4df50b54, 0x34f3f201, 0xcbe90abb, 0x6be6e691, 0x4adee494,
+    0x430b409f, 0x4d091b9f, 0x1dc4e720, 0x79fcebf2, 0xf6bc9e1d, 0xf4a71960, 0xe0907c23, 0x965c12c5,
+    0x918443af, 0xee44470d, 0x6d4252f2, 0xfb8cb9e1, 0x5e9df6ec, 0x74ec768e, 0x93ce6ea6, 0xc7ff1fb2,
+    0x79469964, 0x1f68a9ec, 0x4e509810, 0x6a5423b6, 0x0fa37f7f, 0x611dd488, 0x9db13029, 0xe84b5229,
+    0x51346529, 0xc25f8b8e, 0x0690263c, 0x8788fcbc, 0x87ec4b53, 0x5ddb1093, 0x8aa86d76, 0x83948ef3,
+    0x7c899d34, 0x8f039cfa, 0x58a61126, 0xf769c149, 0xcaa96db6, 0xccf27876, 0x4b5ac43f, 0xad018ee8,
+    0xfa575669, 0x55d33a1c, 0x0649ef00, 0xda8750b2, 0x705ad65e, 0xc1a96798, 0xf31c7224, 0xa92ddd81,
+    0xb554f73f, 0x092a58f2, 0xa5a00ce6, 0x7318bd5a, 0x7bb16dba, 0x91c5f488, 0xc7c75340, 0xe5ea9525,
+    0x57d7f50d, 0x0ec8de65, 0x2e0559df, 0x962987dd, 0x0240b15a, 0x937f6366, 0x162253c9, 0x9d007fb6,
+    0xbba9ad57, 0xda54c069, 0xb21bef14, 0xecb01dbf, 0xed3c0982, 0xed93435e, 0x51d7d684, 0x188f1a4d,
+    0x7797be99, 0x30917b89, 0x9742945f, 0x0a6b53e0, 0x10b58fdb, 0x2227b2aa, 0x575d26e7, 0x6adc676a,
+    0x02a65739, 0x5645e1c1, 0xb59b9b38, 0xf048ec56, 0x580a8820, 0x21d2f825, 0x0dfb2128, 0x3678209d,
+    0x62735121, 0x21e7ee25, 0x97a9106d, 0x3f58371d, 0x186a911c, 0xe079bea3, 0x452e9eb7, 0x95c9c2ce,
+    0xfa7d496e, 0x2dcda433, 0xdde6b4f2, 0xebeb8075, 0x163982e4, 0xa07eeeeb, 0xd28812e6, 0x076eb9e7,
+    0x02a81e16, 0xfcbfac22, 0x12da35f7, 0xabd63f75, 0x9f43b846, 0x18ab5499, 0xac52195c, 0x5957a119,
+    0x1c948ecb, 0x86326270, 0xbea8015e, 0xca5affc0, 0x5a4cf47a, 0x9a54da8b, 0x53b50062, 0xc1113691,
+    0x5d1f35b3, 0x81f11a76, 0x9e8477f3, 0x3c32e584, 0x2b31eff0, 0xc2a0ade3, 0xbbcc87f5, 0xed287ab6,
+    0x39257bcf, 0x40082471, 0x27f5033e, 0x6596fcc0, 0x188f7dbb, 0x6c5e648e, 0x838d8132, 0x5a8b6280,
+    0x7bd270ca, 0x52385309, 0x207c1483, 0xadc3c1e9, 0xaf30ea03, 0x1554f63d, 0x1f04f7b8, 0xf0745872,
+    0x5b716629, 0xb9590bf3, 0x9bb3b3b7, 0x1503a6c4, 0xa05937f4, 0x072a4a60, 0x545bc9ce, 0x40d3bd5e,
+    0x21e2ff27, 0x70b1b3c2, 0x6cfc2e6c, 0x6bf041b1, 0x845fd626, 0xef79aae7, 0x5d88c9b2, 0xfc23b3db,
+    0x175e7d04, 0x1137cb4c, 0x5b7287ee, 0xe99d13a6, 0x0a2bfeab, 0x355d8799, 0x16222a26, 0x2a0d0593,
+    0xf5e638e1, 0xc7ec3195, 0x056b5765, 0x5b0cd2ad, 0x7f2b2999, 0xffd62f3d, 0x7dabcae1, 0x8604760c,
+    0xcd674648, 0x6801f5a6, 0xa5c599ff, 0xad051748, 0x63e1d973, 0x3181e96b, 0x4e128c41, 0xd3c4974c,
+    0x46c7ebb6, 0x0e7bf452, 0x660a408d, 0xbc40a888, 0x651b5a15, 0x9d64a8fa, 0x1ba76f8d, 0x47d23806,
+    0xd52a40d7, 0x2f6c7f3e, 0xe545fac3, 0xd55ba619, 0xcc6b17c8, 0x41bccc88, 0xf1bc258f, 0x17ffb54d,
+    0xd1e41524, 0x2a7d3775, 0xee1810fc, 0x0de74014, 0x7466f490, 0x0c93a8ae, 0xda8f62c8, 0xb20fadd4,
+    0x7e726cdd, 0x0f926b1f, 0x2249f093, 0x32d492be, 0xf2152aff, 0xab772716, 0x64d58214, 0xd87ced2e,
+    0x1f0093b6, 0x13d8ae96, 0xf2b0b953, 0x44229680, 0x260cb98d, 0x175f5522, 0x0c82893b, 0xc41e3ff9,
+    0x24f0afb9, 0x2c7ca97b, 0xedb3207f, 0xeccda30f, 0xdaf2fd90, 0x4873332c, 0x61c651d5, 0x29c2312b,
+    0xcaf08f43, 0x8a289339, 0xdd7e123d, 0x4fe969b3, 0xff55e108, 0x09c7600a, 0xfa0cd94b, 0x5873bf34,
+    0x4d924f4e, 0xea9e102d, 0x25f14185, 0x3972799e, 0x33c08a51, 0x86960545, 0x5bd22f4f, 0x5a75c917,
+    0x1255a4f5, 0xb8985a1a, 0xfc97f266, 0x027fb458, 0xe01d1cac, 0x0d6c213c, 0x40bbb514, 0xdfb8cf6f,
+    0x770f31f2, 0x641c531c, 0x018a22d0, 0x07e06a2c, 0x7c0060d0, 0x7b6e32ad, 0x9ffc4c0c, 0xbf687065,
+    0xc7b81b47, 0x48dc48bb, 0x2136e685, 0x6a1a981b, 0x609fca83, 0x552801cf, 0xc87ff360, 0xe4fb3083,
+    0x572a75cf, 0xa8a25c2a, 0xdbc2f3ac, 0xa388eef7, 0xef63cc6b, 0x4f5adf3d, 0x9687bdf6, 0x5f5d9576,
+    0x3b606d42, 0x62e1de1b, 0x320bee21, 0x7930a339, 0x1dd8c9a5, 0x3e3ba62f, 0xdae40b43, 0xcc9b821d,
+    0x6d891d3b, 0x8d5f22e7, 0xc9fbe3f3, 0x6d2a6240, 0x8d88309f, 0xdd7e8f05, 0x1c849e4a, 0xed5b77fb,
+    0x6dc33c94, 0x892780c0, 0x645caea7, 0x50e5f959, 0x81a60739, 0x0c6498fe, 0x4c4862cd, 0x417c6e24,
+    0xf50cfe0a, 0x570c6d12, 0xe692c8f7, 0x42c27422, 0x155b3762, 0x5fd703c5, 0x60566414, 0xda50cec7,
+    0xb51ae671, 0xe1ee651f, 0x2f1f9ad7, 0x5c7776ef, 0x859cfdf7, 0x90518f87, 0xddecb068, 0x89f8e509,
+    0xb695bcc1, 0x69daf9a2, 0xf4f9fe01, 0xbebbd486, 0x1ec9257e, 0x29b08288, 0xd3fd4889, 0x7d649d3d,
+    0xf518a26d, 0xce4ecccf, 0x1f16f47f, 0x21ba7366, 0xdb5d2a08, 0xbba6b5fe, 0x929e1ef9, 0xa8d3ed69,
+    0x8e8992bb, 0x8133705e, 0xd49d6941, 0xcbec5b72, 0x92969691, 0xc1d01f7e, 0xe43a2888, 0x0064d8a2,
+    0xd77f66c8, 0x52bdb05c, 0x8b2fec8d, 0xc483697a, 0xebe90eec, 0xbc164861, 0x24843f61, 0x1ea84406,
+    0xade09768, 0x81e45abc, 0xbd63a5a7, 0xd8d4a23b, 0x15a337c6, 0x39cdd4af, 0xd6db3ce4, 0x6fdada61,
+    0x3b9e4580, 0x3d9e97f1, 0x1eb99533, 0xd40d7e97, 0xd1201db7, 0xfc7fe7f6, 0x5e7bfc90, 0x0b69a3fa,
+    0x2f29e897, 0x4b35facc, 0xf0026eac, 0xaf2de548, 0x3567f52f, 0x2f47a0e3, 0xa5faf333, 0x233a1459,
+    0xf410edea, 0xcc41efcc, 0x488a85f1, 0xce180aa3, 0xc795e46d, 0xed7731e2, 0xdfa1dad0, 0xad389416,
+    0xa2fd2ba5, 0x96705a9a, 0xe8b1c7fb, 0xd19ae3fe, 0x032db771, 0x49da7c18, 0xf6ad9150, 0xc69cf4fc,
+    0x773844f6, 0x457594b7, 0x59b7cd00, 0x816541c4, 0x352c0631, 0xd2f49d19, 0x8eab9a87, 0x24ea5f28,
+    0xac6a2e9f, 0x60d0552a, 0x6856a0d7, 0x3edff9e3, 0xc3c45d41, 0x26ff7869, 0xe3c129fb, 0x2f7f7abd,
+    0xd1288ecd, 0xd4bd5b12, 0x1b35545c, 0x67e94c29, 0xc285804a, 0x08bc54e7, 0x459551d4, 0x8890bef5,
+    0xd17b2935, 0x50b8ff3f, 0x62f74831, 0x74c1b10a, 0x2ee3bd57, 0x1a6ae686, 0x47fb9676, 0x4648ff01,
+    0x1e0226ed, 0xc7ba298f, 0x639aa594, 0x5692a701, 0x0ea7b487, 0x8c5c160e, 0xf8c77552, 0x373aa04a,
+    0x860559ce, 0x5ab665a5, 0xe1fae1ca, 0xfa1eb518, 0x8a4c6cbd, 0x0472529f, 0x9c73d1c8, 0xc342d826,
+    0xd819d0d2, 0x2e3a818e, 0x73a94e36, 0xa4c601ad, 0x31887af9, 0x1f2ec3ce, 0x328e414a, 0x0d96b4de,
+    0xe2f03167, 0xeb2840a6, 0x156aa6ea, 0x04c80012, 0xdc54288e, 0xaf126b2e, 0xe03c36ad, 0x5f6ab0bd,
+    0xe7cff545, 0x17cdbed3, 0x010c40f3, 0x4bd986de, 0x35b85f62, 0xb07d0865, 0xcca4a83c, 0x94285948,
+    0x399fc21d, 0x7d80ee71, 0x38be215d, 0xa8310ba9, 0xf12b344d, 0x5fbaf056, 0xd1b2a90a, 0x907f02b3,
+    0x3f5f28c5, 0x91ab5c9a, 0x4bf0e32f, 0x22c1ae39, 0x1b7b0a4d, 0xdc8a3c37, 0xbb4785e8, 0x7f7eaacb,
+    0x094e00fa, 0x4f193f5a, 0x3f6e9f58, 0x93b311ac, 0x50bb2a00, 0xfb9783c0, 0xd30b067f, 0x31366e68,
+    0x1b429338, 0x2c2f8153, 0x55ec0a11, 0x43dd01b8, 0xaa8de562, 0xcf725710, 0x125fb9b8, 0xd4802d7a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000002147483648 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x2b6587b3,
+    0x00000000,
+    0x92e93667, 0x1f792cc7, 0xff2105db, 0x099b2c56, 0x67c7f676, 0x19951275, 0x855903ab, 0x3fc0affa,
+    0x0c275267, 0x917cc954, 0xeb543cce, 0x64a77a01, 0xfd4f42f8, 0x13aeb705, 0xcd64b26d, 0xd8da01fd,
+    0x4bdeb196, 0x23c6c565, 0xf6036fd0, 0xb4cc96fb, 0x02bddc15, 0x87eddfa5, 0xaf802c1b, 0xafdfb052,
+    0x11f47e61, 0xeae5cb7b, 0xd5187baf, 0x9f832b22, 0x75f7c807, 0x422170dc, 0xb0d0e286, 0x1a32b8d7,
+    0x4081b628, 0xcb81c5a6, 0x77962232, 0xf751a3b4, 0x778982f3, 0xaac9ee22, 0x5dfa3ede, 0x8be0365c,
+    0xac0492dd, 0xc0235eb0, 0xfc810d26, 0x2ac465f6, 0xdd200ba5, 0x21689dab, 0xaa9c0d05, 0x4141aa16,
+    0x37307274, 0xfdc993fc, 0xd2b03b66, 0xe79830cc, 0xb9be303d, 0x71f09abf, 0x9ba77d55, 0x1852fb48,
+    0x9e465c70, 0xa004962a, 0x97994d79, 0x71724fc8, 0x297a7456, 0x684a4660, 0x3020e083, 0xd8505031,
+    0x85c9ba53, 0x130fe863, 0x7f826a71, 0xa016468c, 0xc03ce288, 0xe9ff995e, 0xf17e6d54, 0xef309152,
+    0x22bc81b1, 0x54d9320b, 0xfb815711, 0xf5888d21, 0x7b9b8104, 0x7368242b, 0xc4c0aa09, 0x397f189d,
+    0x086316e6, 0x8ad4d332, 0x2c2b9aae, 0x1d9e9f3b, 0x8b6886fc, 0xd793250b, 0x4eb77226, 0x7a717a7e,
+    0x918d27ba, 0x0e535b14, 0xf23940bf, 0x3f78de1e, 0x4c29d3bf, 0x6be917d6, 0x0dc07011, 0x36540d8b,
+    0x9e30a9b5, 0xa8150457, 0x378168e4, 0xd638f298, 0x85888a15, 0xd9f68112, 0x01488388, 0x14df7de3,
+    0x25a6e7cd, 0xe9f88f52, 0x9ceada4a, 0xa88e7d10, 0x317d3561, 0x164dffad, 0x437b238e, 0xa9b866be,
+    0x19187461, 0xadb58abb, 0x936989fc, 0xa6cfba3c, 0xf5795909, 0x5593e8b8, 0x162073ef, 0x19bed21f,
+    0x70737404, 0x9761daaa, 0x18de732a, 0x2ff63805, 0x72cc5c16, 0xfe775e47, 0x5811e317, 0x5d76608b,
+    0xcd2d36e5, 0xb9416887, 0xf2f87faa, 0xdc08057b, 0xe7b253ef, 0x7b5886a1, 0xf7fc27f1, 0x2d16e96e,
+    0x456f0571, 0x929df9a3, 0x350efec8, 0x82097e2d, 0xae3e4fa2, 0x9f19604c, 0xff399d75, 0x5de62f4b,
+    0x176d6ef3, 0x7ef586a3, 0x8c9b8f33, 0xc3b7a5cd, 0x9dec891b, 0xfdf1894c, 0x26b1a6ec, 0xb24837ed,
+    0x849c0932, 0x2d074356, 0x3659bf13, 0xd0145a27, 0x88c81f1c, 0x9faa02ac, 0xfbeb9a53, 0x378f2043,
+    0x6268d254, 0x3d850b1c, 0x2c9811d7, 0x895a357a, 0xe18f6cb8, 0xd5a5c8a3, 0x06024590, 0x7ec8de3c,
+    0x3983999b, 0x5de1f6b1, 0xfb21420f, 0xe6da66d5, 0xed438353, 0x3cca49cc, 0xa3197245, 0xd10104eb,
+    0x2e1e9a4d, 0xfb158d60, 0x11aacb5d, 0x7b3a3186, 0x4f3cb630, 0x66a7d391, 0x5f9c016a, 0x7341d5ac,
+    0xc55fc69e, 0x3ed3e31c, 0xbdf296e8, 0x781c0e4d, 0x53aa5e31, 0x1e17e7b0, 0x66a1d4a5, 0xf1f1c1ad,
+    0xad2e5391, 0x5e57438e, 0x092578c8, 0x3dbc1632, 0x815d2f6d, 0xa9f238ef, 0x4890b8a2, 0x5e7b43bf,
+    0xbe7e851d, 0x7b70cb9b, 0xf55ab474, 0x0354ba03, 0x22fcaa95, 0x43f1dfa3, 0x2aca1dbc, 0x84cb70df,
+    0xba8eee80, 0xb762290f, 0x15eb3507, 0x7de3d8b5, 0x9cad6226, 0x6a3ba15a, 0x04b70287, 0xa0b81dae,
+    0xafa7e67d, 0x31e6bd5b, 0x56efc246, 0xb5dd18b3, 0x4a588534, 0xcf59d800, 0x071e233b, 0x218eb5a3,
+    0x614c9df5, 0xd81a45ba, 0xdc412019, 0xf98c7eff, 0xcaa129f9, 0x73769eb9, 0x29c26fbe, 0x84ecb56c,
+    0x7051b8f1, 0x0a7a6d23, 0xe29e7485, 0x9b7ad7d8, 0x4a85b7d2, 0x664f35a5, 0xc8ef1734, 0x42f25c43,
+    0xa242c2f7, 0x8683dc1f, 0xc6f85dfb, 0xbd21dc3a, 0x663d8674, 0xaa47e897, 0xc84e5c48, 0x5746a586,
+    0x2894e28b, 0xbd5d16f1, 0xbc0214ea, 0x18d0e572, 0x4a22d976, 0xa56eafde, 0xed411932, 0x9f8100aa,
+    0x54b0b90b, 0x61467e2a, 0xb9202085, 0x02e29cee, 0xbc9a9139, 0x078564fa, 0x0db3b0ed, 0x48e1d5e8,
+    0x0a17b3f5, 0x79089c8d, 0x005b0fc6, 0x96426059, 0x11aeb3e2, 0xa04cdcf5, 0xdf7fa8ce, 0xc5dcfa59,
+    0x60147d2d, 0xa07a8b66, 0xd83b8350, 0xd6b9b977, 0xf84b766d, 0xbd5bfdf0, 0xbbb73435, 0xc623f791,
+    0xcaa7f398, 0x16cf74fb, 0xadc39904, 0x5aa09afa, 0xb2cb6c29, 0x8b22973a, 0x0dca75b0, 0x8bc282d2,
+    0x6cb94593, 0x7f586fd9, 0xe9d2268e, 0x5816f408, 0x789299df, 0xbb03d3b1, 0x9e13c9c8, 0x963ee3c6,
+    0x18d42622, 0x61aad553, 0xa584b298, 0x69e7747a, 0xb44b83ae, 0xb45a5659, 0xe9b3a6af, 0x29b27ca7,
+    0x4139220d, 0x262b7a75, 0x8ab3a5ed, 0x5711dd85, 0x01ef78f8, 0x08cd5339, 0xeb772891, 0xd3c5579c,
+    0xfb469dff, 0x6c3d9e9c, 0x850c0c26, 0x36294023, 0x00f0da0b, 0xb8cdadf4, 0xb41417c7, 0xeff5011a,
+    0x32b5c161, 0x2c09bef8, 0x72a31fb4, 0x23bacfd8, 0x8621e887, 0xb7b63748, 0xe44a4ecf, 0x42e328e1,
+    0x586aea7b, 0x89a1fe64, 0x5f8e9f27, 0xd503de9a, 0xc46975da, 0x2d605bc6, 0x3a7d9435, 0xe295acc1,
+    0x3b4e0f8f, 0xfd2e872b, 0x4be5b451, 0xd60072d4, 0xd62eef5c, 0x393def15, 0x8740d595, 0xe9205f95,
+    0x11b99918, 0xe850620b, 0x9f6cefd5, 0x2b458ef7, 0x388c22a2, 0xd38e5782, 0x2bfdf94e, 0xab03f09e,
+    0x012cbfe0, 0xcf0f1fbd, 0x66e1c948, 0xdcfc70d4, 0xca86ba45, 0xf056f32c, 0xf42a8ceb, 0x5814c56f,
+    0x3d2de0af, 0x77b423a1, 0x1fdc99fb, 0xbd9a77ff, 0x16d3d7df, 0x9dadd2ae, 0x08e3f2d1, 0x4fd6038e,
+    0xd4be6638, 0x430e5a3b, 0x99375de8, 0x7c3a9b58, 0x4e385b13, 0x962e4b16, 0xe3f4b9d0, 0x9498b5cf,
+    0x93974a08, 0x17397701, 0xc50ae255, 0x8d40a0b9, 0x1082e28f, 0x82e4a55a, 0x7c5edcda, 0xbdaa9c11,
+    0x561e47c9, 0x3b36b09d, 0xe4a6d201, 0x7e0a77f4, 0xc2c08eda, 0xa50e5a0d, 0x2f9e189a, 0xe0082ee7,
+    0x3ffd4612, 0x90aa3639, 0x856b7daf, 0x55007188, 0x0ed0055b, 0x60f34835, 0x05758965, 0x991f5bc9,
+    0x6495ab42, 0x8ee2a5c0, 0xf9931715, 0x5473a973, 0xee6d8d31, 0xaf63dd2f, 0x2d43162e, 0x2727ef42,
+    0xac4f1331, 0x57391c99, 0x77cfff9b, 0x69a8ab84, 0x74ac8f07, 0xfcee397f, 0xcb000e32, 0xa3bcae1b,
+    0xde796155, 0x8fce69f4, 0xf47d41d8, 0x0bf7226e, 0xe05ac670, 0x787af4b9, 0x4a1acf8e, 0x4c19dc94,
+    0xb654b284, 0x140f9030, 0x354d784a, 0xa22dd282, 0x4fbee21a, 0xa3946473, 0x5617f84a, 0x457af0ea,
+    0x8dbb5d12, 0x155e879e, 0x96cddebd, 0xde71b3bd, 0x29dec5b3, 0x8df5ea4c, 0x392b772d, 0xee407b37,
+    0xdfea0c58, 0xd388ff2e, 0x3fff1e0e, 0xd4d0ee38, 0xe88b5de7, 0x8a78880a, 0x3dabbf53, 0xd91c9635,
+    0xfbe34fe4, 0x1cd72fb0, 0x4a6db526, 0x36119e43, 0xfb7eab37, 0xa9a343d4, 0xd6696ec9, 0xd063c4e7,
+    0x77f8530f, 0xe5bc032e, 0xab5318c1, 0x3025eee9, 0xce4d3f51, 0xa31a5d44, 0xa708906a, 0x4c67b559,
+    0xb7e50372, 0x2ae284b8, 0x50c5f306, 0xce7b506a, 0x9afe5e2b, 0x4a6b8c11, 0x8aae5b86, 0xa0e44d06,
+    0xdbdd9aba, 0x8595f67e, 0x76bb614b, 0xa417d148, 0xe5f9d347, 0xe0483043, 0x0edadaba, 0x39dde178,
+    0x8a466a1a, 0x4f33bdf2, 0x6fb57250, 0x2e40d8f6, 0x456f8478, 0x3f9bc608, 0x4c2f1603, 0x9419e3cb,
+    0xc35d6027, 0x364f64b3, 0xca3e0989, 0x6f40c775, 0xd1a30391, 0x1bf2c0ae, 0xbf4f7d6e, 0x13459d31,
+    0x2af37d25, 0xdad46cb5, 0x11d3eec4, 0x19a97f45, 0xd089ef0a, 0xd86e140a, 0x2213384b, 0x1d96f635,
+    0xe298b160, 0x160ba269, 0x18158f2d, 0x679b0570, 0x417f8962, 0xbf948433, 0x876d830a, 0xe9d36a07,
+    0xd2ffaaf2, 0x18c05d3c, 0x4f0bb144, 0x287d80bf, 0x196054c0, 0xb5cd0f84, 0x291c7973, 0xabca1dd4,
+    0x80234d40, 0x099bcd4d, 0x28930ff4, 0xf7b588d7, 0x512baf3e, 0xeb986819, 0x89256a58, 0x9c6afbbc,
+    0xfc0d3beb, 0x9241e0d5, 0x7bf61065, 0x3c9a432e, 0x83aef010, 0x2224a562, 0x79e9cda8, 0x9837086e,
+    0x7926dca2, 0x5a7a4207, 0x50fef489, 0xfb296266, 0xc3505ce9, 0x15f6a4f2, 0x086cc94d, 0x7f3858c2,
+    0x1ffe6a6a, 0x7de6fc80, 0xb5f390d7, 0xf9473ec5, 0xc8f94a88, 0x0b09bd44, 0xae949593, 0x3a3e46b1,
+    0x8c75be83, 0xed095fe0, 0x6a8aadc9, 0x02150efe, 0xa17e45d8, 0xbfebcee2, 0xf2e70dea, 0x8c96e5db,
+    0x92bf3655, 0xc58642e3, 0xf199a3c8, 0x8e274dc5, 0x04c590f6, 0xf199aec1, 0xac86ba1c, 0xed275b23,
+    0xc70a590e, 0x6b0bc054, 0x22b59c0d, 0x7a4411f8, 0xb9a75e90, 0xef3f1358, 0xd9a7ec7d, 0x5586fb60,
+    0x105a2443, 0x8cef7514, 0x84af2ea0, 0x7e2906b5, 0x9fd26479, 0x6578beb1, 0xfe0d23ea, 0x14fb7a5e,
+    0x3582d9f4, 0x8a8f863d, 0xc558b5a2, 0x3a7c6de2, 0xa4fd5cb9, 0x9885af09, 0x4315a9be, 0x65ea8b45,
+    0xf1aae28c, 0xa3febe64, 0x8eab846d, 0x234d10a5, 0x19de6427, 0x9c6df1b6, 0x9bb50e30, 0x48acc06e,
+    0x1b6e4a25, 0xf04b4cfe, 0x3c86fefb, 0x92c19c0f, 0x9d901d56, 0x1b0ac727, 0x9aa23790, 0xbc0abe7b,
+    0x1fcdf210, 0x728cdaa2, 0x73dceabf, 0x1576713d, 0x720c3987, 0x3719fcc5, 0x4dcc3770, 0x50fdec15,
+    0x3f9d4f0c, 0x758a9a76, 0xa11f2c68, 0x5f6b6dc1, 0x2ecc64b8, 0xb7c5fae0, 0x104456c9, 0x428c9f82,
+    0x68842e5e, 0x13d8588f, 0xa320d37e, 0x2e5b68f1, 0x48c164d6, 0x78b7828a, 0x0565b1b8, 0xd8f96d3a,
+    0xb4e34cf6, 0x25fc00f2, 0xca2c966c, 0x0171c171, 0x53b34e19, 0x7380bfa4, 0x8c0fa4d9, 0x017ee46a,
+    0xae5dcd09, 0x5b8ed308, 0x13fc6c64, 0x21eb9e64, 0x7facfc30, 0x8adff249, 0x530d5c6e, 0xb37b661a,
+    0xb3624f37, 0x79d632b3, 0xa7d47768, 0x15337db9, 0x19ca4123, 0xbce4fcb7, 0x8b40d28b, 0x47e7c407,
+    0xad87e26a, 0xc01522d6, 0x59b4742e, 0xb397964c, 0x168eee59, 0x2ce455b8, 0x5758ce4d, 0xd5ab7177,
+    0x97d095e6, 0x991cbb90, 0xb88278ff, 0x77759279, 0xe685803f, 0xb96d55ce, 0x3edf11a3, 0xaca4a16e,
+    0x8c6b86c7, 0x2dae5917, 0xbe7fccd2, 0x490b7899, 0x40befa00, 0xd84890cd, 0x993ca348, 0x1046a9c6,
+    0x2b7858eb, 0xdfd25af3, 0x24d05e58, 0xe6832235, 0x228e00d2, 0x4436aebb, 0xda7e9787, 0x48677440,
+    0xbb1d822b, 0x68ec376b, 0x1e026025, 0x4242aea7, 0x91551bea, 0x9dc4e6dd, 0xc8754e27, 0xa5cd9743,
+    0xa4e34bde, 0xb35f6bb5, 0xe0065fbc, 0x4dc3ddd3, 0xafc92d12, 0x2bb926fb, 0x9a9d21cb, 0xb1f1cc0d,
+    0x0d7301e9, 0x73d1c2f5, 0x705b6884, 0x22398767, 0xd7681308, 0x307e08c0, 0x39f13f38, 0xa0407828,
+    0xc9567214, 0xd515d595, 0x07cb8e02, 0xd39d8fe7, 0x32cd69dc, 0xe6c58e30, 0x802ded50, 0x1b7ff244,
+    0x65651bef, 0x58d0b705, 0x072f8094, 0x3dfa8218, 0x01f63916, 0x83e3f50b, 0xe5d58a87, 0xa831ab62,
+    0x43d1be1c, 0x98ef4684, 0xa7c53547, 0x1534184f, 0x955584a6, 0x64eb8e78, 0xbe7a7283, 0x1edb347f,
+    0xca8420f1, 0xc5b848fc, 0x16d20fb2, 0xc1da8f1f, 0x442a0523, 0x95d39b62, 0xa4f2288f, 0x0b2e988f,
+    0x85c7c3d7, 0x1ef26a33, 0xc10caf2f, 0x9d89818c, 0x251d8ec2, 0x98b9570b, 0x0cf5e09e, 0x64e8058f,
+    0x125f7525, 0x5e3876ae, 0xc45a2fb1, 0xc13b695c, 0x65ee86e2, 0xb707ea6c, 0xf066a439, 0x08b02cf5,
+    0x5ce66df5, 0xe1fa8ac5, 0x1ba82ef8, 0x935b9072, 0xb717da66, 0x1ed0da4e, 0x762cebae, 0x3f69838f,
+    0x3e2e04e6, 0xcbdc4326, 0xd8c91ce7, 0xb36be18b, 0xde93a025, 0x3e95501f, 0x53f6b41f, 0x4722f392,
+    0xfc2b26e9, 0x54329256, 0x4b4de382, 0x1799e440, 0xdf8ac367, 0x34c1f5ea, 0x53b4bd79, 0xaf52f4b7,
+    0x84d18b03, 0x6d226c31, 0x0461c68e, 0x58427ed8, 0xa5b0fca5, 0x0184edcf, 0xd3d6bbf6, 0xc9e35362,
+    0xb72b4d8b, 0xb17238a2, 0xf986a3ac, 0xd02f1906, 0x46d25eab, 0x482e1712, 0x16fb1d3a, 0x157f9a05,
+    0x3383d8f3, 0x78ffebfb, 0xcad47ed6, 0x3945c819, 0xb4c8919e, 0x32f371ab, 0x2e1af3d3, 0x5a09917d,
+    0x8498cbfd, 0xb8b25ff9, 0x90b77c66, 0xb20ef6fb, 0x81977735, 0xde01a783, 0xbe2b91df, 0xa238af7f,
+    0xf99c9456, 0xb0ad64c0, 0x82b5b119, 0xa3555e5e, 0x13410e1c, 0xe4383770, 0xe753b9b0, 0xb83aff4d,
+    0x5b94a8bd, 0x4850165d, 0x81760ac9, 0x61300805, 0x43a714bb, 0xdd7351be, 0x3127d314, 0xa0d74831,
+    0x71ff3afd, 0xafc45fd0, 0xc249462a, 0x084d9e0b, 0xd97d020a, 0xd377afe3, 0x90266762, 0x7e3bfab3,
+    0xdbc3b068, 0x64f7bcc2, 0xd71354ff, 0x7424a07c, 0x041a02f3, 0x9cfa2d08, 0x5ede5c87, 0x4f645cd2,
+    0xce7c56d2, 0x1f81a2af, 0x975ec715, 0x4e1a210a, 0x7801605f, 0xc4364c98, 0x2e48f0a5, 0x1d171dc2,
+    0x154e6e55, 0x5234677c, 0x7e21c7e2, 0x75189550, 0x32cd24a8, 0xfb1b5239, 0xe989dcd5, 0xe125de54,
+    0x082321d1, 0x14bbc6fa, 0xeb3dc056, 0xaf541529, 0x7741bd6b, 0x91eb4bed, 0xcad1e64a, 0x5c0ffb01,
+    0xbdc80f12, 0xd4e7ad40, 0x59a922e6, 0xde375bb8, 0x54b739e2, 0x46bcf7b5, 0x4bdc4db0, 0x2fd02aa7,
+    0x1920b359, 0xbfde658d, 0xa8258ef9, 0x2fd18d0a, 0xd7ad385e, 0xe83828cb, 0x40bc4c8f, 0x77a88c27,
+    0xb57d650d, 0x82caf8fa, 0x227922b9, 0x4ddde6c9, 0xbf45143f, 0x3332dcc7, 0xf3ae08f7, 0xcbaccedc,
+    0xa98a7bf8, 0x813cf968, 0x81467dc2, 0xde4c3001, 0x826003c5, 0xe4b2d580, 0x7b77e153, 0xf4f42253,
+    0x7ddd3cae, 0x76a75c35, 0x45ad3d42, 0x24c81f64, 0x8db45c37, 0x60ba46b5, 0x91dd1ce4, 0x357b4231,
+    0x102cb181, 0x2e8acaab, 0x94fa4f80, 0x32024b81, 0x048172af, 0x3ec20c69, 0x7e8b8299, 0x4cbea963,
+    0x385593a7, 0xf53c4529, 0xac2b5f2b, 0x700e4d21, 0x5aa697c0, 0xb3c8b790, 0xf8c2d82a, 0x206ab56b,
+    0xe211e9d9, 0x37059287, 0x2a169f21, 0x5efa8c01, 0xe00c480b, 0x5db46f28, 0xe0f8c663, 0x6056e372,
+    0x847ee9a2, 0x0cbdad6b, 0x9c5db5ad, 0x09e34ca9, 0xf3f9f7a0, 0xdc311443, 0x400ef2f7, 0xc263283f,
+    0x415054d0, 0x7610b898, 0x5c57191c, 0x537c0f43, 0x9da1d01f, 0xa87f2b86, 0xb4cc9d15, 0xdb373867,
+    0x733ea87f, 0xba0cafbe, 0x42f3e392, 0x55d59b31, 0x1ecee958, 0x993bbd73, 0x2141475a, 0x846705e8,
+    0xda83dac4, 0x34b01bda, 0xbb3de571, 0xdfe0170f, 0x8a86940f, 0xdcb3b831, 0x68c7311e, 0x188d538e,
+    0xd900c304, 0x7d6af9ae, 0x934be3da, 0xe16d6829, 0x3701d818, 0xc2a03644, 0xbe28a1d6, 0xebac4769,
+    0x98547718, 0x6a3fc3e9, 0x528f8253, 0x1c3e8de9, 0x8677a44d, 0xe863ba52, 0x98333b34, 0x72739e86,
+    0x225a2372, 0xcb4d703f, 0x31e490d4, 0x4bb36ab9, 0x98df1504, 0xc4f96eed, 0xd1df6653, 0xb97a8841,
+    0xe7f5a191, 0x16bd321c, 0x15626620, 0x411cecd3, 0xd9144832, 0x24132d24, 0xaa478347, 0xc5d59cce,
+    0xef56cc01, 0xd5454c93, 0x5d4b3431, 0x0789761d, 0xadc8a5d9, 0xad777bc3, 0xbbfae256, 0xddaa43f9,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000001073741824 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0x95b2c3d9,
+    0x00000000,
+    0x8921405b, 0x796f91f5, 0xbee21a0c, 0xee2e5c96, 0x61fe85a5, 0xefaf4abc, 0x3ef259a0, 0xf94c0325,
+    0x79115b52, 0xecfcbf14, 0x829f942d, 0xc107a869, 0x20eac8ce, 0xe2bc7227, 0x8b1e0898, 0x76b66749,
+    0x52b47e5d, 0xaee27d6e, 0xbf4fdd91, 0xa421bd69, 0xa3750fce, 0x33685f55, 0xd9eb5085, 0x474890e0,
+    0x0c31b975, 0x8aea0f66, 0xcd392aec, 0x1fa44d63, 0x4d97e52b, 0xb4efbc5a, 0xddc20a58, 0xefa6bb3f,
+    0xa5a6011e, 0x3ba6d8c3, 0x5c307ac0, 0xdfdd548f, 0x93aeaf13, 0x7189656b, 0x114fb8b3, 0x42d6304d,
+    0x725ccd3b, 0x35e9f844, 0x717cd6fb, 0x416e3e54, 0x81819dee, 0x6e9c15d9, 0x3556a5d3, 0x2f70f25e,
+    0x7bb3cd59, 0x0e98c3a9, 0xb8b3c68f, 0x16247b61, 0x1683cbdd, 0xfe92f811, 0x5eae0f91, 0xc128f920,
+    0x0dd60b1c, 0x899259aa, 0x7e63b34b, 0x72df6c89, 0xb4ad530a, 0xa1b36636, 0xfe9ba36c, 0x587709b2,
+    0x8aa898a8, 0x800ce1c3, 0x79233271, 0x3e61228b, 0xe0c5fde2, 0x8de340c1, 0xf18ef6e6, 0xacc1df98,
+    0x95c8dca8, 0x24905b13, 0x50da4790, 0xe2e0656d, 0xb9be9419, 0xd31233e9, 0x0e95df0d, 0x643161ce,
+    0x8cd1087c, 0x117593df, 0x153d819f, 0x9f26f201, 0xd0a36514, 0x8dff3937, 0x54553386, 0x2d70d07e,
+    0x229bc899, 0x5cba496e, 0x523b5cc9, 0x4e9b8c90, 0x2b0c1c6b, 0x7e7a98d3, 0xf3d58288, 0x1fa38887,
+    0xc501f6f3, 0xa3b96805, 0xefb3a192, 0xf31dc840, 0xcf41f747, 0x0f52939e, 0xe949c10e, 0x835f5ba6,
+    0xbc7da6b0, 0x2a7d6ff6, 0xc5dee4d0, 0x55ce7f46, 0x3280dc16, 0x2695a535, 0x46561309, 0x9c7e443c,
+    0xa9bf9af0, 0xa1a24d9d, 0x1a27b7ae, 0xa5b9397c, 0xbe534d0a, 0xcedf9705, 0x41e127c6, 0x5eb75160,
+    0xdd12b690, 0x4a0b778d, 0x94d77fdf, 0x208b03e9, 0x915a656a, 0x127056b1, 0x11e412df, 0xeae39e0e,
+    0x0ba0a9be, 0x5e1cf569, 0xed782530, 0x863b3ed0, 0x86cfb990, 0xe7b97aaf, 0x48f69fce, 0x0d2bc7bf,
+    0x86b6e5e0, 0x564461a2, 0x1393b28d, 0xb01f2027, 0x67d920ca, 0x0b68e3bb, 0xc00c3971, 0x62e51147,
+    0xc13a2e64, 0x09004961, 0xdc652370, 0x4cfdcf8a, 0xf4c5ed79, 0x1e071b3e, 0x16079c81, 0x82e83eeb,
+    0x863a3809, 0xc840af64, 0xe34b6792, 0xaafcddb6, 0x3c64bd3b, 0xc32bdbcf, 0x2f751850, 0xf0f2c0d4,
+    0x83614f29, 0x9f0b0e8f, 0x6f3ada40, 0x5c24911d, 0xb5af4be0, 0xfe463a23, 0x5c837c85, 0xd36cddf5,
+    0x1d68c5d6, 0x927a9e96, 0x0c4d22e3, 0x4b4146c6, 0x5d44d656, 0x48897b46, 0x80b72b79, 0x3c3b36f7,
+    0x98646f9e, 0x6319d132, 0xc16922bb, 0xb4e57f48, 0x9b6d6934, 0x40ea6f9c, 0xf6c858ce, 0xc0a86c83,
+    0x3a842136, 0x6801f00b, 0x0be9eee0, 0xe5ec95e7, 0xae8461ea, 0xbd74a5ca, 0x47d2762c, 0x957a52a2,
+    0xb9f4606d, 0xe9cd07d7, 0x0b006795, 0xfa2ea3f7, 0x1d6b3f80, 0xc3c014f7, 0xf104a85c, 0x10886335,
+    0x2a44a7a0, 0x6aba2174, 0xa654084f, 0x80e57b1c, 0xf17a16b1, 0x6d08ce89, 0x1ea2e3f4, 0xd49fae0f,
+    0x8a1c7b39, 0x12072613, 0x8033596e, 0x30a99879, 0xa05af0a7, 0x9842758c, 0x32cd7f6e, 0xa00b0c62,
+    0xf22564f9, 0xdcdb3b7b, 0x28f17117, 0x77089bb3, 0x002b4a08, 0x1e180177, 0x1c21cd6a, 0x893d5894,
+    0xd8bfd1f3, 0xac925c23, 0x53014469, 0xc62ca2c5, 0x9d843013, 0x84d0d11d, 0xf97dbdde, 0xdb875df8,
+    0x18a5c614, 0xf34aa653, 0x05171532, 0x03dad081, 0xbf531ba9, 0x975c9a15, 0x6795f6e2, 0x1a55594e,
+    0x450c7ff7, 0x5af9b01d, 0xfc44c502, 0xbb03d17c, 0xe92f853e, 0x70d95abd, 0x4932a92f, 0x07209fc0,
+    0xd71b8b5f, 0xa38dcd91, 0xa8e421c0, 0x9faf9d99, 0x216f6a1a, 0x990c840c, 0xa24c691d, 0x9425c5b1,
+    0x13115fa4, 0xd966b5be, 0x9d0dbfc8, 0xbc402415, 0x9a3017a9, 0x169ceac6, 0x89a78eb9, 0x9168ef59,
+    0x3b2bc728, 0xc9b04432, 0xa30d9f6a, 0xfcb4ddd4, 0x3aa0b0eb, 0x0598ddae, 0x27d09f3e, 0x5663e6ad,
+    0x13c04e25, 0xd0b03550, 0xefcac89d, 0x7f0e3510, 0x5e5a6952, 0x6c452ee5, 0x0dfa2454, 0xa170ee0e,
+    0x5cb34b3f, 0x2dc42d0d, 0x407016e5, 0x8ffb28bc, 0x29b3650b, 0x2f10065e, 0x50d05979, 0x1ac6b816,
+    0xa434aa9e, 0x8cd3fe52, 0xf2520497, 0x0a3187d8, 0x28604cd5, 0xdc72775b, 0xcb2126f3, 0x4e0ce953,
+    0xba599cbc, 0x7d5a2e2f, 0x4073019a, 0x0e043fe0, 0x847654a6, 0x7ce08e08, 0xebdeefa4, 0x55cde1cc,
+    0xe447af8d, 0x2e28f1da, 0x9c7d425b, 0x1debabf2, 0x3c2dacb3, 0xe97f801a, 0xf06c4fd1, 0x9f2849bb,
+    0xd83bd7b4, 0x36b4be77, 0x84c519a4, 0x5dd21f8a, 0xc4567988, 0x5635799a, 0x052ab245, 0xe355a35d,
+    0xe42ebf15, 0x3dc1e85a, 0x84f89c0c, 0x40cceb55, 0x8b2c6cc8, 0x0acf087a, 0x1eef502d, 0x92d87a09,
+    0x9e4da2b4, 0x8d76c5a5, 0xeabcbcfc, 0x556b126b, 0xa5c42251, 0x1ce02a8d, 0xdece1bb0, 0xe9a90f1c,
+    0x821e06a6, 0x5793ae86, 0xa702c92b, 0xb6f4fbdd, 0xfacb3641, 0x06ff9fab, 0x816924a4, 0xc73a9e04,
+    0x56cdebc6, 0xd1b0d0c9, 0x6e602867, 0xa22a4213, 0xe4ac820c, 0x93e3a24d, 0xca4b4e73, 0x685e86a5,
+    0xea87dafc, 0x19c788cd, 0x3a774a6e, 0x2529e10b, 0x455b35bd, 0x039ab211, 0xc1552f5f, 0x73aa2019,
+    0x71f84e8f, 0xe65f5dd1, 0x12a6fb81, 0x54c772c6, 0x5107cc9d, 0x9ae0ab12, 0x0612d0a4, 0x48759c2b,
+    0x11b5954c, 0x9c5118bb, 0xcfa03370, 0xa5431df8, 0xb90de160, 0xe8915237, 0x1e6bc167, 0x2975e073,
+    0x1cd5fc01, 0xf99ecca4, 0xfb399976, 0x5cb04263, 0xe7a2b287, 0x07170b0f, 0x3b7c17d8, 0x59c86c23,
+    0xb50bd6bf, 0x90090f5a, 0x1497ca97, 0x6efa4c85, 0x574e698b, 0x86c007c0, 0x9c62e1fb, 0xe014579d,
+    0x51f8a0e9, 0x2f379a91, 0xd9108723, 0xf7a08785, 0x20af07a8, 0x712d6210, 0x73ccd1ba, 0x038d54be,
+    0xc5e937d9, 0xfb54fc98, 0x3962fddb, 0xc0227806, 0x31bb749e, 0x4437b077, 0xb3a245f8, 0xa051176e,
+    0x74d6a2ac, 0x4020bf6d, 0xf308f31c, 0xf4fcd13b, 0x34932a18, 0x57059520, 0x102ad6fd, 0x5ed01969,
+    0x6735efe7, 0xa642cfc6, 0x3ecadb02, 0x3f6c4503, 0xc73008d0, 0xc67ac0ac, 0x343c9ab6, 0x282afd95,
+    0x18bf9a6f, 0x15d03f7b, 0xd50d7ef5, 0x59a4f184, 0xce1facf2, 0x4e4f7648, 0xe98b2ce8, 0xc7c427b4,
+    0xa5b98026, 0x7b5f02f9, 0xdd26a294, 0xca00e0a1, 0x2a445b1f, 0x7012af10, 0x6beb6aa8, 0x43e8644a,
+    0xc66672dd, 0xec34f4e9, 0x77b33819, 0xde34ca03, 0x123b6bfc, 0x8dc2b857, 0x8e080f62, 0x2266075f,
+    0x765cffce, 0xceeddf0d, 0x05b61196, 0xbfb2ca67, 0xd430492e, 0x7eddd535, 0x2b994828, 0x13ec1e86,
+    0x8f8ce89a, 0x1c9ba3d7, 0x1b2fa1af, 0xfb9f1fc7, 0x127aa79c, 0x13f4a383, 0x7ae72bcf, 0x94f16050,
+    0xf4f7084e, 0xe4c910b5, 0x57ef61a7, 0x825a0652, 0x7303a58d, 0xad453ccd, 0xf22d2d36, 0xd357df40,
+    0x27bcac14, 0x748ac86d, 0x4a1c70ef, 0x0378c0f5, 0xb413cd78, 0x64d785c6, 0x44e955cb, 0x8a2ef092,
+    0xfac1d7e2, 0x9411d974, 0x200cb34d, 0x77314cfe, 0x8c047dd1, 0x62f0c63c, 0x85a81d63, 0x2ce4f6f5,
+    0x5d93c9ba, 0x6591d303, 0xc9646783, 0xe7375e2b, 0x0c35b664, 0xdd194b06, 0x824cb808, 0x2a03dafa,
+    0x042274f9, 0x57369062, 0x39fb80c9, 0xd8c8bc01, 0x27e37218, 0xeb2ab9aa, 0xff11603c, 0xedcdc265,
+    0x30a05266, 0xf42ac908, 0x954eef13, 0xa2de4b8f, 0x3fd99ef8, 0xad360815, 0xda524f4b, 0x5c1a48d9,
+    0xbc63623e, 0xe2f4874b, 0xe6f0f15f, 0xd2b75593, 0xbe284af0, 0x38ba81f3, 0x10697444, 0xb01e94e0,
+    0xf7166e2b, 0xe9dc92d8, 0x4f6972f8, 0x11397164, 0x32260af8, 0x57152d3e, 0x82f58b05, 0x9bd7f77e,
+    0x18aa4904, 0x46bcb773, 0xa0211bd8, 0x2286a404, 0xeeb8d510, 0x1892f5a6, 0x8b8b70e9, 0x1f09f38e,
+    0x0fc7cf4f, 0x04db7ba6, 0x7cb4c813, 0xe91541de, 0x8150445d, 0x1b7c9c82, 0x3a549a9a, 0x7f64782f,
+    0xc35017f8, 0x9bb7bf3e, 0x6b646b9a, 0x8fcf5460, 0x00a9ef48, 0x0b650578, 0x1d84002b, 0x06af1541,
+    0xc39ae2fd, 0x37ed7fe0, 0x6966f9ae, 0xe6ca8257, 0x4e79bc07, 0x9d95e46b, 0x89ab9aca, 0x658eb6e8,
+    0x35770a0f, 0x5b7eff39, 0x43d10994, 0x475f45e2, 0xe2667313, 0x519fba85, 0x6e51a01d, 0xa4273e7f,
+    0xe4cce7a7, 0xcf258338, 0xf03fc997, 0x7088ccad, 0x27a520d7, 0x043f133a, 0x93f0234b, 0xe364b684,
+    0x9e158e84, 0x84b8ac0a, 0x2f932fac, 0x86bf78d5, 0x51286db3, 0x7068e2c8, 0x51138761, 0xc10cacf6,
+    0x88f09b41, 0x58035d31, 0x6be1ecf0, 0x951a8637, 0xfad185b6, 0x5ff478b8, 0x80c69ca5, 0x48bc2d88,
+    0x00e413b6, 0x499e49c6, 0x30b90b4c, 0x74682e28, 0xb52e2832, 0x8755e7d2, 0xa81d43bc, 0x2fdf436e,
+    0x8ab0599e, 0x631e7084, 0x4a0d6a65, 0xcbc3efc4, 0x36c22d37, 0x23e5f023, 0xe9c6f6f5, 0xd93775c3,
+    0xcb2c1723, 0xa06ac4ab, 0xec0c6430, 0x26c8ac68, 0xa15dc5ff, 0xc47b326e, 0x94cea363, 0x9616152a,
+    0xcf4cc534, 0x8e0e6562, 0x7627c724, 0x8d864178, 0xf7fcec58, 0x041d58cc, 0xb2107aa5, 0x42cd25ea,
+    0x2811ada2, 0x38ebc30b, 0x39c0e2ad, 0x538db846, 0x24c28943, 0x71ba536f, 0xf0913303, 0xd1895871,
+    0x1cead15c, 0x76073ea6, 0xe57c2f55, 0x4b682029, 0xaab9dd10, 0x3a8e6489, 0x8dc19cbd, 0x6d2105ee,
+    0xb56caf4a, 0x5b7ac595, 0xf903fccd, 0x4abad675, 0x931e50e1, 0xf91ba232, 0x3a598b86, 0xae888463,
+    0xaf71ff81, 0x989b74be, 0x442b03b4, 0x8a9bb78b, 0x5da6250c, 0x44b34c70, 0xdcb3a4ab, 0xb5224755,
+    0xaf60cd6f, 0x243ed833, 0x6bbd0259, 0x7d8cb127, 0xa4f5aee0, 0x336730f3, 0x12ba23dd, 0xf8aaab9d,
+    0xa941c183, 0x9bec5789, 0x65ff8ae5, 0x064fc35b, 0x359c9f7d, 0x5e4d6fef, 0x6d632e1b, 0x6390b571,
+    0xfc3e81f0, 0xf057fe21, 0x0dc36a13, 0x33f240e7, 0x4dc12d5b, 0x966ba77e, 0x7d4051c1, 0x4c71e4b1,
+    0x9eab879b, 0xa2a38b1b, 0x70597c11, 0xcac1177b, 0x5f0e726d, 0xf4bd82cc, 0x58936a0b, 0x809cf2bb,
+    0x31591a3d, 0x78f2814f, 0x9ee3be52, 0x6fcbd30c, 0xdce81464, 0xcfd0296d, 0x8b07de11, 0xc2bdc9ea,
+    0xc5880fe7, 0x80670e6b, 0xcc71d509, 0xf156b65c, 0x55aa8bbe, 0x833d74fd, 0xace7a66d, 0xaf4a9569,
+    0xa4839930, 0xfe548247, 0xa95d7fb1, 0x9600c9ec, 0x249029ab, 0x78e22ffd, 0x68260703, 0xf80ee47b,
+    0xdf23632a, 0xdcd69485, 0x353e6703, 0xbc374568, 0x29349a6a, 0xda4d2d2c, 0x2a3533af, 0x932ec805,
+    0x5eeb6ede, 0x03d03fdf, 0xfb7b7bdf, 0x6c4bb519, 0x4fb45f33, 0xc60ed2dd, 0xa95bb8cf, 0x20153600,
+    0x2ba8080b, 0x618eb02b, 0x9ccbff59, 0x8ff56b02, 0xb8c5f373, 0xa7f3fd37, 0x361bb181, 0x5ce166ac,
+    0x810bbe12, 0x44c9f9f6, 0x685aa796, 0xba3e9d68, 0x7cd81e50, 0xecc322ee, 0x09596725, 0x438d9a44,
+    0x5e5dfe13, 0xf39fa4e2, 0xdbf41819, 0xb057ca12, 0x0bfa27e8, 0x7f4e42c9, 0x627966c9, 0x6dbdc30f,
+    0xba700e71, 0x40a19244, 0x7927f831, 0x9bca3a3b, 0x6a53eab9, 0xb03a0868, 0xcca7ca15, 0x68a7c0db,
+    0x5485b3b2, 0x2d4beb16, 0x9473f98e, 0xeb8ab3af, 0x1232b164, 0x927497b7, 0x2e27d94c, 0x936d3aea,
+    0x855b3e34, 0xc8915f2a, 0x14b1c283, 0x82fc5865, 0xc928072c, 0xac7225af, 0xeefd159f, 0xe48f759a,
+    0xc237cde5, 0x1139adeb, 0x8b2c49f7, 0x77a65988, 0x1ee4d20f, 0x1032cbc3, 0x43fd7cf1, 0xe1fbebe4,
+    0xe6fecf0d, 0x9431e0e4, 0x83a4a11f, 0x861779f2, 0x6e1dc363, 0x5e5e916c, 0xe17e89b6, 0x000338ce,
+    0xf478eb9e, 0x61a50e80, 0xbb0e96a5, 0x50336c6b, 0x8ab6e069, 0x61a1d19f, 0xff2a416f, 0x821a6e0e,
+    0xe9f7d38a, 0x96529a3a, 0xfce694de, 0xda4cb86c, 0xf34c6d55, 0xa6c94369, 0x1e681bae, 0xbef18591,
+    0x260fd51d, 0x271beb22, 0x8b9c5865, 0x5a381bc6, 0x6fc834dc, 0x60c3b25b, 0x240ce556, 0xe18faaf2,
+    0x3ba9cac6, 0xf39311e5, 0xcd361681, 0x50638d48, 0x0df4d6c8, 0xdefea5ad, 0x3856b92e, 0x4a191b11,
+    0x4f83eca2, 0xb637c5ec, 0xeb4800e9, 0xe226a1eb, 0x6d17c517, 0x2dffc9d9, 0x2f932607, 0xdbe8195e,
+    0x3d89ee9b, 0x43a596ba, 0x5178cb29, 0x91c939e0, 0x6328790a, 0x5809d8ec, 0x78348ba2, 0xe005d029,
+    0xa08abef1, 0x9f069ef5, 0x3c2df6b7, 0xd77dc111, 0x6eca5094, 0xdc604f7c, 0x43979cbf, 0x30fa2251,
+    0xa97c1a66, 0xc94504c2, 0x4fd6d551, 0x1ddf47bc, 0x55270f81, 0x4d1fb83a, 0xffe129f1, 0x8b6b67cb,
+    0xd7e61772, 0xc6f4a6d8, 0x9bf9e049, 0x7dd3de20, 0x174350f1, 0x8b3ec31c, 0x2fd4800f, 0xaa312db2,
+    0xfb871648, 0x5949240b, 0x529f82f0, 0x5c540adb, 0xb940908c, 0xc8400864, 0x519848b8, 0x229be096,
+    0xbc865d64, 0x80c2ceb1, 0x35c44a99, 0xb158658e, 0x3836ee71, 0x1810fc52, 0xf67bdf16, 0x7d2eea26,
+    0x72f58d17, 0x4eebb096, 0x99b974dc, 0x81e97101, 0xfc3aa762, 0x412a1365, 0x77e7a500, 0x052ab058,
+    0xf6d2b364, 0x8c0b6cf6, 0x727a7304, 0x2876ad7d, 0x096678c9, 0x2faefa2d, 0x5747e09f, 0xb90468cb,
+    0xf4633db3, 0xbb5ae6fc, 0x806d8c69, 0x6592a2f8, 0x1a9d2f70, 0x52b6514c, 0x56714260, 0x91618f93,
+    0x07b3135e, 0xcc8dcb8e, 0xe2082557, 0x903fc138, 0xc0737871, 0xae4be6e0, 0x980b43b7, 0x18651d63,
+    0xa35f0500, 0xad11f78f, 0x783970a7, 0xa57e3f85, 0x1f56e827, 0xdbe1f0db, 0x20bda4dc, 0xfa2495d2,
+    0x54835986, 0x039ac3e6, 0xa6ef971f, 0x5ee2e47b, 0xb91529c5, 0xd0c5cbf1, 0x2c4f3ddd, 0x287c37a6,
+    0xb4399551, 0x8ea08fdc, 0xa048254b, 0x3da7cbff, 0xc8a41ef5, 0xff0a9d4a, 0x7febfd71, 0x821c7389,
+    0xae4a65c7, 0x8794edc5, 0x9f945653, 0xad5da13c, 0xab8a9c72, 0xbedc774c, 0xdd60c00a, 0xd525d738,
+    0x151343a4, 0x5a062b57, 0xc906414f, 0xeb317c50, 0x79b9623b, 0x871db256, 0x6f45ad8b, 0x0b1aa768,
+    0x543d0eaa, 0x72ea598e, 0x093fe523, 0xc32b5b42, 0x9dab8305, 0x7f154b65, 0x3b203846, 0xd6da685e,
+    0x1b8ff198, 0xdd1a0e07, 0xebed54cd, 0x2236ec0c, 0x7c15b506, 0x78930fe4, 0x83e55282, 0x1b6f55b8,
+    0xdc78b538, 0x2c528a69, 0x684e03ad, 0x8b42f70d, 0xb2fe0ffe, 0xef5f428c, 0x446abdf6, 0x0d54919d,
+    0xb0ef7c21, 0x04b45404, 0x2c62f236, 0xea512f18, 0x31bcfe8d, 0x533aec47, 0x2f1fb94e, 0xb1cce348,
+    0x7f94091b, 0x8df8e8fb, 0x4f438b14, 0xa5919238, 0x0185b7cd, 0xaed0c24e, 0x41e9de2b, 0x9fbc2e9c,
+    0xb5fab69e, 0x6cf13fc4, 0x58d24a72, 0x2d593526, 0xbb880d39, 0x5a334eb5, 0x580f7af5, 0xd6a5ca7f,
+    0x8649bd6f, 0x46748a42, 0x0080b1fe, 0x19e481e1, 0x774c4ea4, 0x243acdd7, 0x051ed40d, 0xfc05836a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000536870912 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xcad961ec,
+    0x00000000,
+    0x847c7fa4, 0xb0082efb, 0x5ed1c885, 0xcab1ea5a, 0x284cc701, 0x083cc9bc, 0x5e34625e, 0x3e6b214f,
+    0x9ea89e16, 0xc3d386c3, 0xd31ae12a, 0xf1e85499, 0xf259704d, 0xa4f2a0dc, 0xad630cd8, 0x0a4e4b46,
+    0x0da0c57d, 0xa9f3add7, 0xf577e608, 0x2ce8b3d2, 0xde26de1d, 0x5650c531, 0xc9a589f8, 0x85177fdf,
+    0xaf6d358e, 0xae7cb2f6, 0x0c3bb895, 0x5bd5dc1c, 0x672f281b, 0x627f5652, 0x33755c0e, 0xe6dda02d,
+    0x8493536f, 0x019d9eb0, 0x27ec0549, 0x3a025047, 0xab2cdbf7, 0x99d1b16b, 0xc4756459, 0xdaf8e994,
+    0x577c8973, 0x64ea2df8, 0x0b49cf0b, 0xe0349269, 0x7d87039c, 0x532ace55, 0xac73942a, 0x373acb7c,
+    0xf125d81b, 0x7b889ece, 0xdb51d2f6, 0x605b6efb, 0x93639d75, 0xbe9533f0, 0x4290ae34, 0x55465eed,
+    0x23324d48, 0x5e5c7ad5, 0x49342f30, 0x760b9bf1, 0xe6575a96, 0x3aa2ac32, 0xabfc387b, 0x6fd04292,
+    0xf063a8a0, 0x3246e2f9, 0x42587bc4, 0x5f7e1679, 0xde792e3d, 0x086fa44e, 0xf1066142, 0xf248c9d8,
+    0x0f40c245, 0x64e60d50, 0x696f3ecf, 0x30a33adc, 0x36dd6976, 0x6b255c53, 0xd5be9c2f, 0x3db4f8f8,
+    0xb5d77408, 0x2461c655, 0xb350e174, 0xcbecd395, 0x3dc7f632, 0x66e34ebe, 0x36b77659, 0x8825efab,
+    0x5a7b8374, 0x172776df, 0xa045bb81, 0x99728f41, 0xf7f50a4b, 0xf7bffccd, 0x306b3cfa, 0x0f991e9c,
+    0x7aebc54f, 0x8f07c112, 0x8c5718e0, 0x98eaefc4, 0x6365abd1, 0x146cb4da, 0x911e25a9, 0xe668e893,
+    0xb4f1c182, 0x5b170e2c, 0x3d5ba436, 0x18e7b640, 0xb421c519, 0x9735890b, 0x5734149b, 0x197db4fb,
+    0xa884d3d8, 0xc2ebd531, 0x51b369c0, 0xf4df9998, 0x7f774238, 0x2e17918b, 0x4f010431, 0xc4434fa3,
+    0x468cb1fc, 0x9d6edb09, 0x03b14d6e, 0x9b101774, 0xfdc2f4de, 0x84671fca, 0x438b3a8b, 0x4c3e80c4,
+    0xea7f43ed, 0xdc709b8b, 0xa857fb6c, 0xf9923bbd, 0x6fbaa0e8, 0xb6e0b711, 0x36fee8ec, 0x0624627b,
+    0x82989167, 0x891335b7, 0x30050e9b, 0x1ae01148, 0x965767b7, 0xc22197d9, 0xa4242278, 0x6ff3132d,
+    0xeabd84f2, 0x40517be8, 0xa5280bec, 0xa981eb47, 0x0d0ddba2, 0xf6b6f592, 0x7db8c3b2, 0xe3d096ae,
+    0x33a4c60d, 0xeaccb6df, 0x7b892a89, 0x50303e49, 0x04eace62, 0x73922863, 0x4812d21d, 0x67fdcc7c,
+    0x4adb10cf, 0x0cc8f5b0, 0x8ac3a649, 0x0e85fc74, 0x0734cf63, 0x4d4f4a1d, 0x7e6bc7cb, 0xb9ddab8c,
+    0x55e4889c, 0x1ad5a26a, 0x5dda4af6, 0xade223cf, 0xccc01d43, 0x393d8449, 0x0ab5b177, 0x272573e2,
+    0x96eed780, 0x26066d53, 0x4835812b, 0xfab6b917, 0xd83028fd, 0xd987c5b6, 0xaf62962b, 0xeb26bad8,
+    0x281cfcc1, 0x42c1a04e, 0x53420154, 0xeca36d5b, 0x484e3a40, 0x4f3864be, 0x56cf932d, 0x5a2d8083,
+    0xa98a94fc, 0x03aaa49e, 0x6d9a69f0, 0x7429fce4, 0xca7a7274, 0xd695cd15, 0x7dafda87, 0xf0acf08c,
+    0x8b2e8c0d, 0xe93c6047, 0x52abb7f3, 0x3bcb81b5, 0x39b127c8, 0xfc2d9a3d, 0x7d832a84, 0x6e165277,
+    0xfcd739bf, 0x75b3df52, 0x81baba19, 0x1d4e8ae9, 0xc6af5df7, 0x8998a643, 0x6684c43d, 0xe961fc66,
+    0x50df29cb, 0xb3695ff2, 0x6b838dda, 0x43f00fe8, 0x322f95d4, 0x56439251, 0xcf68e45f, 0x167700f2,
+    0xcda7dfad, 0xfa2ddc5f, 0x8cf1ca69, 0xf7233fd3, 0xdc6762af, 0x3b8136bf, 0xaba1cd25, 0xf3ab2348,
+    0x486d7a47, 0x1095da8a, 0x11ee5eaf, 0x21ea36a8, 0xf7b1cba1, 0xd2fda8a8, 0x0c2784dc, 0x2e7a94db,
+    0x00d9445a, 0x51d4f801, 0x8578f39d, 0x93031152, 0x6b2b7223, 0x38a25a0b, 0xec202522, 0x8faf9574,
+    0x2aab282f, 0x2725b1d0, 0xd88a022a, 0x1885982f, 0x1a9b6b62, 0xcb690e51, 0x7970171c, 0x3c925e36,
+    0x9f2499e6, 0x2ef262ac, 0xac8cd40e, 0xde0fed75, 0xa619253b, 0x0736ae64, 0xdb667aa3, 0x7bcf96fa,
+    0x2172b676, 0xb0cfc1bb, 0x505d12e9, 0x48919c35, 0xdaf54edc, 0xd3ed758a, 0x16506461, 0x0dfeae22,
+    0x4dc4ccf5, 0xc2890798, 0xad09d099, 0xc3e83941, 0x03adaf18, 0x9e997db0, 0x58446282, 0xba71f405,
+    0x58f1b0c2, 0x045e501b, 0x16412dfb, 0x81ffd2cb, 0x8335a671, 0x67e565f4, 0x98c2b082, 0xb92a2557,
+    0x2b67b03f, 0xaf5c7dc2, 0x1c68bd5f, 0x7a098e49, 0x0be744d5, 0x6d862157, 0x62d1b577, 0x8850f11c,
+    0x0be24f9f, 0x5b5bce34, 0xd51abcb8, 0xf57744e3, 0xf6a55f44, 0x98fe0996, 0x8d33e19d, 0x91332071,
+    0xc6b49ec2, 0x7b22b45e, 0x94b6d5c2, 0xea008933, 0x1b114724, 0x6c9747d3, 0x8e2401e6, 0x97772ae0,
+    0xd293d9b8, 0xef1ec6f9, 0xb66902ef, 0x2777fd6c, 0x2ec2d267, 0xf7cdb51f, 0xf6a914dc, 0x3ef840b7,
+    0xf2638138, 0xf15a5ead, 0x992e4734, 0xc2cc6d88, 0x6b47e31d, 0xb1b49058, 0xad987653, 0x88dc6876,
+    0x6c9f6c0a, 0xde88d060, 0xcc41dd9e, 0x0bb1545e, 0x5d0380df, 0xa50c745d, 0xc6cce244, 0xea9ffa73,
+    0xe4f1744c, 0x96a9c50b, 0x20cfda9e, 0x9d778977, 0x5673ea45, 0x6db723a5, 0x56756ce3, 0x2837db93,
+    0xe371c4aa, 0xdf2f4d84, 0x404f06dd, 0x3da09471, 0x2936954a, 0xf7ce3b25, 0x4e285fce, 0x0feca5e3,
+    0x2cf3ab11, 0x655d0143, 0x150ee281, 0x6ea46a00, 0x3c7f9fdb, 0xcaf0bf77, 0xd35a0ee8, 0x2607a1db,
+    0x4f576b49, 0x0d10587f, 0x43a83527, 0x881ffbbf, 0x1368321c, 0xf6871899, 0xd61adf30, 0x6fc23197,
+    0x129e9876, 0x3e29549f, 0xf607d66b, 0xf23cc4ec, 0x2acad41b, 0xa23c427f, 0x543328cf, 0xc1081eb9,
+    0x2fd50e63, 0x3107a626, 0x6546dea0, 0x6fe654bf, 0x7b9f5127, 0x1b2a07ad, 0xd1c8334a, 0xcf7ba949,
+    0x11e0a85e, 0x779420e5, 0x9cb940a4, 0x2cbc1c5b, 0xe8fd0d66, 0x262826b3, 0x7e6f7442, 0x602d8a77,
+    0x23c04116, 0x0e127ec7, 0x4c1f3c6b, 0x52938ce8, 0x11596d79, 0x6abb5a06, 0x4da2ee57, 0x615681be,
+    0x491f14cf, 0xda51c544, 0xf40034bf, 0xafd78b27, 0xd11233e5, 0xa1175d18, 0x1e438ffe, 0x52c3e549,
+    0x4fef5bb7, 0xb66a8d25, 0xc096b72c, 0x491cf14f, 0xe5616606, 0x52d4de15, 0xc1deef5f, 0x07c671b3,
+    0x5224b54d, 0xdeff992d, 0x376bdf24, 0x7ec7d59e, 0x6503e1e3, 0x666a34d5, 0xe31ac925, 0x85acd09b,
+    0x057e4ea8, 0x81014b38, 0x60db98c5, 0x7f4982e8, 0xe48b23fc, 0x066e6e58, 0x3840e6b9, 0x944630c6,
+    0xe0327d26, 0x61281fc4, 0x95d8b6dc, 0xbb7043a9, 0x90d65ee7, 0xdc17d1c7, 0xa79e465c, 0x008e4b65,
+    0x940832c3, 0x2a9b3a2b, 0x1d193bb5, 0xf8dc8a8c, 0xb151d773, 0x4cbefcbb, 0xea0ce7b1, 0xcc904f22,
+    0x3a0706e1, 0x3d330c95, 0x7198b8fa, 0x4950b5b0, 0x40e2bea3, 0x8119bfbb, 0x978dc6dd, 0xc958924d,
+    0xc35b6193, 0x6049919d, 0xd1fe1b28, 0xcc0d9af9, 0xd415c3f6, 0xdb34b5ac, 0xd65e2dff, 0x602189bb,
+    0x6d74b247, 0x392af9ee, 0x747ab407, 0xba18e33b, 0xca8d72e5, 0x525ef0fc, 0x4268c801, 0xccf5812c,
+    0xac791419, 0xe7802325, 0x55f7a8f8, 0x6ea3ed95, 0x22fe1ac8, 0xb186a297, 0xc7accd7f, 0x6291045f,
+    0x8c1f5b7f, 0x8366daaf, 0x670610f9, 0xec3cba31, 0x50f80f3e, 0x97cdef9a, 0x5c4f0e8a, 0x76604844,
+    0x7eaa4df5, 0x63da2745, 0xd632103a, 0x92fba9ca, 0xbff04af3, 0x7e39c665, 0x4d57de05, 0x492f9ebc,
+    0x16156cff, 0xc277427e, 0x95f0ba25, 0x1e07ad03, 0x07c3d7b0, 0x0afcffc3, 0xbab7ea07, 0xa1283056,
+    0x02784b94, 0x58c702e7, 0x80c2adb6, 0x7563ad79, 0x345c721d, 0x0cabb3a3, 0x9c897da6, 0x0b46c0d6,
+    0x09af5bcb, 0x431fa7de, 0xcb02c1d8, 0x60dbcca0, 0xc1b0926b, 0x9fc15fe6, 0x22ba1bea, 0xfdb64424,
+    0xc0106f12, 0x3f78dca5, 0x03494b46, 0x92814f09, 0xc19586b0, 0x7466c1b0, 0xb427f37f, 0x73f50af3,
+    0xf3be2577, 0x09fd37fd, 0x557ba7cc, 0xcf410594, 0x97505128, 0x1fce1520, 0x2e2becdc, 0xf6d85594,
+    0xcbbac576, 0xe8323987, 0x3626bd4d, 0x892301be, 0x5df2e95d, 0x3eafd22b, 0x56aeb308, 0x626510db,
+    0x957dad5f, 0xb7bccb8a, 0xecf576ee, 0x740d8e9d, 0x9689e310, 0x713f670a, 0x6ed160a5, 0x45cd3ed3,
+    0x03b7d5c2, 0x94a04b49, 0x34c3876d, 0x5aeb6831, 0x8a142cd5, 0xfe7a6329, 0xa9b2fc87, 0x265a22f2,
+    0xb8a5c645, 0x364d9452, 0x0047fec3, 0x9aed2f16, 0x9f500633, 0x705dd454, 0x0081e40a, 0x13d3e0a2,
+    0x74c9206d, 0x54c879f5, 0xfffe9eb8, 0x5f5bd870, 0x2262e1f1, 0xec82baf3, 0xdea83c92, 0xb2ae2057,
+    0x46a8415d, 0x95bb2dba, 0xfc13250f, 0x82c6e56b, 0x8ea1d39f, 0x4dad51f8, 0x2032094d, 0xf6266616,
+    0x6bdc52ef, 0x238c618f, 0x2c8d3667, 0xfb3689ab, 0x0c6636d9, 0x490d28d6, 0x0e602077, 0x199b72fb,
+    0x337e8fbf, 0x17738688, 0x6eadf4b4, 0xb0c7de53, 0x5a30aeb7, 0x72dab8f2, 0xe91d661c, 0x3eb5bb1b,
+    0x4da776bf, 0x295c5671, 0xe415fe54, 0x544be099, 0x022bbad5, 0x8cefe7f7, 0xbd4acdc6, 0x20583394,
+    0xe6c250f3, 0x0224c02f, 0x95ed28f0, 0x9a3c25a9, 0xe2a47009, 0x772fd790, 0xfff558fc, 0x3cc360e8,
+    0x4adfe6ad, 0x9d65c54a, 0x0eebdcca, 0x503be499, 0x66d09642, 0xc5cd2d91, 0x7fdcfddb, 0x9a5ed49b,
+    0x8fed060b, 0xb401e1e8, 0x437d765a, 0x0a42d01b, 0x7a24c584, 0x4715518d, 0x76f0dd64, 0x92330d66,
+    0xce91c72f, 0x1cfdb162, 0xaeedba81, 0x2aced168, 0xe07fdc97, 0x4805eeed, 0xe61f8f77, 0x984c7be9,
+    0x62fcbaa8, 0xb7de05c2, 0x995e95c4, 0x7ec39b56, 0x6b3dc354, 0xcd5c94d1, 0x102499de, 0x203c9d8a,
+    0x01940779, 0x5c0aabef, 0x61eeb3db, 0xee8e36b1, 0x1a3d02b3, 0x4179165d, 0x32207016, 0xff4f77b3,
+    0x86cdf0b8, 0xe2372d93, 0x973b30be, 0x36ec600d, 0x32ac8ad8, 0x6f701200, 0x65331abe, 0x26d6ec0c,
+    0x2c5e1b98, 0xfcfefba4, 0x5308bce8, 0x7cdc8232, 0xbb0c7a5c, 0xf68d55c5, 0xcfa1028e, 0xe87f15cb,
+    0xc5fa5612, 0xe41b4b7d, 0x4a7e9969, 0x4a305ba3, 0x05a8e89c, 0x4387702f, 0x9c2511b7, 0xc4800982,
+    0xd1ba5deb, 0x29b5961a, 0xed03b18c, 0xfb1a49ae, 0x14b7ea98, 0x5d93a7c8, 0x18e41df4, 0x9ddd4153,
+    0x332632e7, 0x3cfd5e37, 0xc87ba4fd, 0x88487b45, 0xa6ebb5bc, 0xf70eddf1, 0x8f966d4e, 0xea04d621,
+    0x5df4f021, 0x473baee3, 0x30b20c7f, 0xcc221350, 0x44564cce, 0xaed2ac2c, 0xd01fa0e8, 0x9681b8f4,
+    0x3fb327ab, 0xaed01e40, 0x20d4fffb, 0x77e770d2, 0x0e6a4e77, 0x924aa2a6, 0xfbaae814, 0xa069bef4,
+    0xa8cd1db5, 0x1579cac2, 0x7ed7cddb, 0x9eefc37b, 0xc73e14d8, 0xaedbeea5, 0x3433b51b, 0xfac436de,
+    0xeed66398, 0x44a9f759, 0xf6aea3fd, 0x8136ebc0, 0x28e334c6, 0x1e5d6ee9, 0x6e3a8514, 0x02f3cc02,
+    0x6deb34ac, 0x759e19ce, 0xf7086b46, 0xd88407f7, 0x1245fdc0, 0x336c8621, 0x2bc6495f, 0xc31d4aec,
+    0x00cd0b7a, 0xf209e7b8, 0x1b3f46f0, 0x520d5c81, 0x48354573, 0x3d1a9b6a, 0x01b85e3a, 0x032ce6f1,
+    0xea7227a2, 0x1475efbd, 0x7c3a43df, 0x0ce1b34b, 0xe46cdb6e, 0x3c28e28e, 0xb218e56c, 0x33b75791,
+    0xc5d030eb, 0x16a5db9d, 0x2cf6fb1d, 0x1ea15ad4, 0xd228a825, 0x0e1976e4, 0x074089ff, 0xa37309a9,
+    0x0aa421dd, 0xdf98bb28, 0x54a7a896, 0xba032fd5, 0x8dd98ead, 0x3f70cb3c, 0x20ccbfa8, 0xff0a3393,
+    0xa112c163, 0x3f304169, 0xb5e1beba, 0x6708f178, 0x9858b14c, 0x6982a0fc, 0xc732e28b, 0xc0ec52f0,
+    0xf8d71b55, 0x1f710547, 0x3e64c1b4, 0xb5b4dbe3, 0x05d37403, 0x37f38b6c, 0x9b2348f5, 0x3dc51a37,
+    0xefcad6ee, 0xceb6750e, 0x8da3c9e4, 0xcc2d6308, 0x2b36ffd6, 0x7f776353, 0x0d5fcbb9, 0x311a6561,
+    0x3615469e, 0xefd4d9e1, 0xce3f302a, 0x1f2bda8d, 0x846c195a, 0x33054955, 0xe4684e17, 0x44e295bd,
+    0x15e8c356, 0x7c1fd3d1, 0xbb0188a1, 0xce500449, 0xa613c857, 0xad8c5533, 0xf49a965a, 0x18454894,
+    0x3f1f69fc, 0x930bbad9, 0xe554be83, 0x83f4bcbe, 0xaa17b447, 0x58530b1b, 0xb87ceddf, 0x7b7b8ff2,
+    0x5bb615d3, 0x771b2126, 0x3b930720, 0x94d9b0fd, 0xed0b369a, 0xc777c858, 0x432f3719, 0x2249c68e,
+    0xfa96e884, 0x872a5a9b, 0x754d7885, 0xf3719b94, 0x1cfce45c, 0x1381e6ce, 0x1b5f2c89, 0x8880272c,
+    0xcd7a4903, 0x72b71423, 0x1f0cdd0b, 0x964b51fd, 0xd62648e4, 0xb16d374d, 0x7136d2a6, 0xb8c9cbe9,
+    0xc94d6b21, 0x1ebe6386, 0x3ba32197, 0x8d3e9527, 0xda740d5e, 0x35f00ff1, 0xef72884e, 0xdca4acaf,
+    0x89040bfe, 0x52442349, 0xbe8d0e63, 0xa3136fb0, 0xa5db1047, 0x1a716ef5, 0x71029c4a, 0xd61242d1,
+    0x3271ee5b, 0xa2d1edc7, 0xc3cbc8a5, 0xbf2f0b7a, 0xc21af137, 0xb3fd16b5, 0xfdb5b5dc, 0x3c16c083,
+    0xff9708f7, 0x84e75eb9, 0x24daefe7, 0x4b03f360, 0x9a800fca, 0x563583b9, 0xf713fb53, 0xea3cc7aa,
+    0x9825a720, 0x3e328124, 0x7f93c13d, 0x1904a597, 0x13c8e454, 0x4d8c72ed, 0x6e73d7c6, 0x76b331f9,
+    0x99e8f962, 0x08d4091a, 0x47b3e290, 0x1427d3a6, 0x3ecfaa92, 0x01390f8f, 0xf4131660, 0x17291575,
+    0xc57c69ba, 0x422998ca, 0x91c9c6c0, 0xf46f005d, 0xfe6e2ab1, 0xfd9c8dd8, 0x43713927, 0xc50a8f83,
+    0x44275fee, 0x414b772d, 0x2597aac8, 0x2b47927c, 0xd87844fd, 0x5dcbae19, 0xdde667ee, 0xfca02e58,
+    0x597e1bd3, 0x72ea2808, 0xd46a7528, 0x2bc72d0b, 0xb17a885d, 0x4e7f4ce3, 0xe62d5b3e, 0xa1d9f76c,
+    0xb22ce038, 0x0d1a5c28, 0xa0196799, 0x91410117, 0xd418475b, 0x1112e348, 0x2c16c61b, 0xf9e89679,
+    0x13aefa13, 0x8052651c, 0xb4d12114, 0x95243960, 0x19e3db33, 0xcd5e8884, 0xe7ef6be7, 0x69173d45,
+    0x80053666, 0x14078168, 0xfc9ddc36, 0xfb314b3a, 0x9d8f1829, 0xbe9daf7f, 0xbcff3cb3, 0x301cb086,
+    0xb03090f0, 0x64120e65, 0xfa0fb0b4, 0xe5bce602, 0x3539f9f8, 0xe3479693, 0xc97149fa, 0xe11837ad,
+    0x525f5275, 0x7ad2a62b, 0x727d03cc, 0x3a71244a, 0xe16f9f3f, 0x4d4efc58, 0x2e2000d6, 0x7500f9f8,
+    0x560c468f, 0x2ae96d62, 0xff0165af, 0x0c59f3db, 0x135f8e4e, 0xbbaf5cf6, 0x56d6d54f, 0xd15768a6,
+    0x10c88baa, 0x05af7b6b, 0x93ece9a2, 0x75f04441, 0x88463ee3, 0x5f94bbc5, 0x4910de0d, 0xd310931d,
+    0xafe04be8, 0x78c5dde1, 0xae970205, 0xc3d36551, 0x89fecdc9, 0xafce6d82, 0xba3e0075, 0x7667a792,
+    0x997714d5, 0xab7ff151, 0x7479b20f, 0x5bbb63aa, 0x71a2a195, 0xef54e5ea, 0x72c0c158, 0x1202b530,
+    0xec8f45d2, 0x58d07b9a, 0x9091a9c0, 0xcd7765c5, 0x0322062a, 0x49538a44, 0x6dab801a, 0x42b2a4c6,
+    0x25b05241, 0x9394958d, 0xbaf16795, 0x36b3c0a8, 0x09ceeae0, 0x450ca73b, 0x3ef146b4, 0x862a3192,
+    0xafbf4919, 0xc41daa8b, 0x10c027d2, 0xc2622376, 0xfb8d0d1a, 0x05157473, 0x1c081f19, 0x78f394ac,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000268435456 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xe56cb0f5,
+    0x00000000,
+    0xb82a1134, 0x334d7a81, 0x64684b3a, 0x6d019783, 0xf0531f32, 0x363d806e, 0xb33ba591, 0xb74fb61f,
+    0x858c4560, 0xb65cbccb, 0x68a675b3, 0x992e358f, 0xac85e875, 0x571eec71, 0xc77951d7, 0xc264bd06,
+    0xce7283d0, 0x1eba21dc, 0x4bfe38b6, 0x47399d42, 0xd1ae6e97, 0x5f7ae632, 0xe52d0b04, 0x7c1990f2,
+    0x683992ab, 0x3e60db87, 0x1b81d1cd, 0x5345e65c, 0x92e48d06, 0x6e7a092d, 0x98fd7274, 0x4883d870,
+    0x3792bc13, 0x630ff2b5, 0x41d62126, 0xf2289385, 0x5aababee, 0xb4c1a44c, 0xfbaf19eb, 0xff36cfbb,
+    0x5f217ab0, 0x2ffa5cc8, 0x6a65c65e, 0x7b1bc408, 0xf3856430, 0xf5eae7b4, 0xc6f050b9, 0x1b5d371e,
+    0xfc489d56, 0x787d2df2, 0x572010bc, 0xed087cfa, 0x023f679d, 0x9d5a2164, 0x3ce3ec66, 0xeee9840a,
+    0x51e9981f, 0x8f577f6d, 0xed68f18a, 0xe833ea8d, 0x042217f0, 0xe3c75b66, 0x8521b7c0, 0x0da70e88,
+    0x8f22b1df, 0x717ecde5, 0xe7f3f9f3, 0x382c5692, 0x87513726, 0x8ef3e45a, 0xb4ebb38e, 0x6245b593,
+    0xd2eb6647, 0xbba29079, 0x8ed4ffc9, 0xf2877270, 0x44c563b4, 0x08108775, 0x06e7ec9a, 0x70910468,
+    0xf748b868, 0xb743c4f7, 0x6c54fdfc, 0xbd1218d2, 0xa7190638, 0x186f3e18, 0xe81df489, 0xdd190ed0,
+    0x17c53479, 0xad36afa7, 0x80fc619f, 0x092547db, 0xbd329068, 0xe7384f77, 0xe9cfdead, 0x9b5dcc7e,
+    0xafa8f966, 0x8b2beee1, 0xc7034dde, 0xfb9091d7, 0xee5cd346, 0xd31a017e, 0x254c1d18, 0x72ef3cb0,
+    0x16a0291b, 0x36da2b28, 0x2ace4701, 0x3ee767af, 0x42477966, 0x8174f36a, 0x6624fbca, 0xfe08307e,
+    0x22df6691, 0x1be6fd45, 0x1e931f8c, 0xcac44fe6, 0xcb60d819, 0x7c5cd19a, 0x1aa8637d, 0xf81a239e,
+    0xa0deb4d7, 0x27d6371a, 0xcbde9b21, 0xc3c48d84, 0x687ba885, 0x0cd33524, 0x2b958b20, 0xe9cf9804,
+    0xbd7c5fa9, 0x7e7d56dc, 0x4c4007d5, 0x77913158, 0xbb9ba295, 0x0be2248a, 0xdbbebc1f, 0x954983a7,
+    0x953717ba, 0xf3d67860, 0x0ad72587, 0x9bdb9ed0, 0x672563e3, 0x62d0f901, 0x96002f38, 0x540bdefa,
+    0xd07d0fa5, 0x2223092e, 0x4ad9d2f0, 0x14a27e69, 0x55be5561, 0xd3087f32, 0x0f1f6ac6, 0xa7686ffb,
+    0x1c9c146a, 0xd9706b9e, 0x8fe7ce77, 0x14987356, 0x4a3d7a71, 0xcccdeaba, 0x39c92a68, 0xa80ee76b,
+    0x62c1017c, 0xd34bf4b2, 0xfc24be65, 0x87238a45, 0x927028b3, 0x88975c87, 0xb815f2e7, 0x2b2a2873,
+    0xd68620ba, 0x5826cf09, 0x4021e69b, 0x1c6bbadc, 0x156726ec, 0xe71d512b, 0x4b79f849, 0x3d09c8d1,
+    0x59d6a9b9, 0x5a5b93de, 0xd9c34fd9, 0x667bee63, 0x2c3197d9, 0x13127229, 0xbc3ce4d9, 0xb2490925,
+    0xb2e8c5f9, 0xc0880dfb, 0x1ba52eed, 0xe77eae98, 0xe7dd4524, 0x9c004087, 0x96fd6d89, 0xcc15c834,
+    0x5157bbd8, 0x3f59e865, 0xfcd1b0f8, 0xe0cea6e3, 0x96896ff3, 0x926e48af, 0x4efec884, 0xebb2beaf,
+    0x777a4ad2, 0x71bc9963, 0xa1323e5d, 0xc98ae9f7, 0x17a4efcf, 0xfbd38303, 0x8d9b54b5, 0xc0e40d58,
+    0x054514eb, 0xaa14c1ee, 0xcd3b3042, 0x35a1a635, 0xf9fca41c, 0xc8981816, 0x7d8b6a58, 0xff43727e,
+    0xcf0f9058, 0x2b60cbbb, 0xb47ce9db, 0xed97c0d3, 0x5507f676, 0xf62802d5, 0xd126bf4b, 0x042928c5,
+    0x53ab0af8, 0x87797c60, 0x25586e5a, 0xf9e28028, 0x16b492d5, 0x7ba185b4, 0xfce120a4, 0xd1088a12,
+    0xac322fd2, 0xa810303b, 0x20d61074, 0xfa53c889, 0x1b27c5ea, 0xdd671623, 0x4f946d10, 0xeba6aac5,
+    0x21dfcc61, 0xc2cdf7bb, 0x304a091c, 0xb368c69f, 0xc862f928, 0x35ffae90, 0xced09839, 0x1d4f0dca,
+    0x3a6964f9, 0x23346e7e, 0x3bef7418, 0x12fbedb3, 0x1e6366b6, 0x0cd8fefc, 0x7e058527, 0xb35d0b0e,
+    0x6221c45f, 0x6112e586, 0x55fda0f6, 0x62c8d166, 0xe470bf8b, 0x99fd7331, 0x8359b999, 0xa7af5c40,
+    0x4594d5f9, 0x160758c5, 0x915fcbfb, 0x0070180a, 0xf4fb28ad, 0xbe9bcde1, 0xbb74cd2f, 0xde6ebf27,
+    0xd04dea6c, 0x64625554, 0xd0152e33, 0x4c3a1ed1, 0x2705071f, 0xd999b5aa, 0x4af16c14, 0x441c06e5,
+    0x7a52771f, 0x5e1023cd, 0xfda75062, 0x3196f153, 0xa5a13b24, 0xeba1f6ba, 0x3d442c66, 0x6b8ef8b4,
+    0x4843642e, 0x7f1af503, 0x9e81a3c0, 0x8d8f21fc, 0x2feab752, 0x87c6047a, 0xc266d773, 0x10c82dd9,
+    0xeb6fd23a, 0x40bfaed8, 0x84b68400, 0xe08bfab5, 0xfcd0c46f, 0xa846c498, 0xd2ecd47f, 0xa308e205,
+    0xd30a80bf, 0x46501cc5, 0x8c88fe5a, 0x0a24ecef, 0x1c199244, 0x52fb5431, 0x63461b11, 0xe3725321,
+    0xdfc07ac9, 0x630b8e8d, 0x2871a0e3, 0x2d812120, 0x2b5a5e5a, 0x65512056, 0x452f10c6, 0x1c590343,
+    0xc8b86418, 0xd4d733d0, 0xf6ebaca7, 0x3fb4e534, 0xf0744f2a, 0x38aa51b9, 0xfea8e6ac, 0xa1116e6f,
+    0x5d24bd76, 0x87d62b1c, 0x069d75cd, 0x6348c308, 0x8d0bc4fe, 0x3ac6473e, 0xe80cfc35, 0x562dc8ca,
+    0x0e998307, 0xc41af09a, 0xaa143d30, 0xfe3a4a6c, 0x9f263e02, 0x88050d08, 0x0a17641f, 0xe4d2320d,
+    0xf53196d9, 0xe866eda7, 0x59ea5c8b, 0xd0a6713b, 0x9c5c77d8, 0xf3423896, 0x4fa104ae, 0xcfff3d78,
+    0xe36d9f36, 0xc9fae847, 0x0e8bcf4e, 0x0e3b2975, 0xff991bd5, 0x1b43bd7d, 0x799ed6fb, 0x61d6673d,
+    0xd5699834, 0x3c346d28, 0xc850d8a1, 0x7e8169f0, 0x1c121c30, 0x4c8b8723, 0x59ea3e01, 0x9230046a,
+    0x35c7626f, 0x33fb83c8, 0xb3a1534b, 0xceb0fc6e, 0xc19c8aa0, 0x8d0ce01d, 0x594d6fba, 0x8ec0c6b5,
+    0x4ffbeb91, 0x8fa0cf45, 0xcc4b6f5a, 0x9653c597, 0x850ce07a, 0x7efa1635, 0x68955595, 0x7f466882,
+    0x20fc0b53, 0xc3ef0c9d, 0x8fc47494, 0x7749b8f6, 0x82c18436, 0x1f9c8363, 0x103d7a90, 0x68324d88,
+    0xf644f1ef, 0xb473fd12, 0x7bd0aefd, 0x1db15a89, 0x7ed5e0b1, 0x7d5a90b2, 0xfa1b1386, 0xdeb84a2c,
+    0x0c4ae1b8, 0x64a4fb1b, 0xda346622, 0x896ab410, 0x31ec8694, 0xc20444f8, 0x383f9107, 0x7758a311,
+    0xf13d1be5, 0x4f6a4c5a, 0xcda1fa0c, 0x3a32eb89, 0xd5c73c77, 0x32b3ccab, 0x0140a219, 0x60b826a4,
+    0xd751ddbe, 0x63966dd1, 0x730b021d, 0x547eb08e, 0x4a834586, 0x4bb01e6d, 0xc7d131b6, 0x91e147fb,
+    0xa35c6fc5, 0x01ab6a1b, 0x8fefc682, 0x0ba3f0af, 0x8294a7db, 0x2894fc23, 0xa17b950f, 0xb77016a2,
+    0x551684b2, 0x59318db7, 0xa254bd32, 0x007e699c, 0xabe3f87f, 0x1dc9c3a9, 0xb78bdbf8, 0x2e971dd1,
+    0x40bbc6a6, 0xe2dcaba1, 0xe2bd391f, 0x590bb5ed, 0x06d3e47e, 0x3e031f32, 0xa86e1f91, 0x8e1254bb,
+    0xa6ff8d7d, 0xba83a5fd, 0x41b9e4e1, 0xbb300322, 0xe2c8e8c6, 0x78ef3a1e, 0xafe1db14, 0xd3442d3c,
+    0x0d6d906f, 0x98618d98, 0x717b9b34, 0x1f11b52d, 0x0b9c6c04, 0x1ba06a2c, 0x455330be, 0x796c8731,
+    0xcae1a96e, 0xa527a3de, 0x32d2d3f9, 0x1147f831, 0xa5bf407a, 0x5bfefcdd, 0x4c5722e1, 0xe56460e7,
+    0xfa634599, 0xa359d63f, 0xf3815be6, 0xe8ec2f62, 0x5402a5ef, 0x928bf28c, 0x3dd67440, 0x9e9b3ec8,
+    0x96dff287, 0x742ee4f6, 0x3aa2807d, 0xa2603bea, 0xf5b98ed9, 0xdfa0b9b0, 0xae61451b, 0xc264c679,
+    0xb75f516e, 0x52981dc4, 0x387c997f, 0x75534325, 0x0fac23b9, 0x2e61b156, 0xf8a4be2f, 0x84c4876d,
+    0x8fc71d11, 0xf86f1819, 0x6297f197, 0xb6175194, 0xa9ae6165, 0xf5ba8fe9, 0xe3fa6dcd, 0x4406bfa9,
+    0x361fd2ff, 0xcb49d6f3, 0x4752ea07, 0x82eaf2c7, 0x3e015e6b, 0x25927443, 0xf5379484, 0x5ed84315,
+    0x6e01206c, 0x13a46e6b, 0x7d0e9534, 0x27535470, 0xa37f43f4, 0xae172769, 0x2099b57f, 0x88bc8a61,
+    0x63aed923, 0xa4df3068, 0x687bf634, 0x4cd184d1, 0x74b2b6cb, 0x8eb8c35b, 0xeb2a5c9f, 0x41b8afe7,
+    0xa50600bf, 0xa6b1eeef, 0x8709aa93, 0x041d935a, 0x6c7b6405, 0x44a654f4, 0xdafa97a4, 0x1ec1f8c8,
+    0x8f0c5025, 0xa207d60a, 0x2b394161, 0xaddd2576, 0x1b0ac3d3, 0xe1518bed, 0x5154a6d4, 0xa191526d,
+    0x4cd628b4, 0xb58e7ea9, 0x4e4f1ef2, 0x916434f0, 0x807b59bf, 0xd6e21ad3, 0xb95a3b4a, 0x5fe19ab5,
+    0x29947a1c, 0xa2e680d3, 0x58c36f20, 0x712c56a3, 0xb7881aa3, 0xfb2955cc, 0xa83cd9d2, 0x2211c2b1,
+    0xa30ec99b, 0x109b4d27, 0x5ed403d0, 0x8b503c8b, 0xde35ceb0, 0x3c392a9f, 0xef4efba8, 0x6e3b8b6a,
+    0x299a5ae3, 0x96a8fff2, 0xa2af1a81, 0x5b5eddb0, 0x4d3980a7, 0xba8901a1, 0xcf047b02, 0x9fde234f,
+    0x2ec3e243, 0xf76a09de, 0xba7ef996, 0x66114454, 0x10cb211e, 0xd11c360a, 0x0258c6bc, 0x31a67018,
+    0x04798d6e, 0x015949d9, 0x5a581305, 0x5d094039, 0xb152aaa3, 0xd4c96094, 0xa1f0c20b, 0x3109d7ca,
+    0xd3bbc0d5, 0x79a3c3e4, 0xdd67766d, 0x9f92821d, 0x4f0c3cd3, 0x11b96541, 0xbf6a894f, 0x064169a4,
+    0xb4c030da, 0xb7fb0a9e, 0xe01ccc8b, 0x3ce8db9a, 0x1e2ab041, 0xf94dc28b, 0xb5398e34, 0x5f92b6d3,
+    0x671ebd1e, 0x5aeab24d, 0x0fc0a2e9, 0x6501bf33, 0x3dca61db, 0xdc3ab93a, 0x3d627b4f, 0x179be1e1,
+    0xd8c19cc4, 0x7cf0c46a, 0x8c2b858b, 0xb2cd0ca2, 0x738c757a, 0x460b9e9b, 0xde336f31, 0x2a2a88d4,
+    0x479faaa8, 0x67c018a0, 0xe6484c80, 0xe5ce4552, 0x46891707, 0x71d95b00, 0xde9b472d, 0x7e6c06e8,
+    0xd4039627, 0x05227027, 0x2f6fa5f6, 0xa55e0339, 0xbf0b94ff, 0x377f8f8f, 0xd7e749ba, 0xd06b8866,
+    0xb5e057d4, 0xeeee95be, 0x91a32b06, 0x4aca9d80, 0x7e584127, 0x174ae37b, 0x9e8620aa, 0x13ae7fcc,
+    0xe45eb483, 0xc280f673, 0x504806fc, 0xd81a1855, 0xf757adf0, 0xcd2c4bcc, 0x74618e2d, 0x5f9696d7,
+    0x2967717c, 0x2cb6c5d1, 0x33c4d20e, 0x4e9ee8f1, 0x2d82cb2d, 0x192f6f76, 0xc6008ade, 0xf5313daa,
+    0x9a7a9967, 0x2a92e9c2, 0x73d5ad05, 0x8217c67b, 0xeb675a39, 0xe0369067, 0xf7c2caac, 0xdf9f048a,
+    0xd5beee29, 0xa39131e2, 0x97e9abea, 0x7d3068b8, 0x8aafa573, 0xe44afb8f, 0xff7e110e, 0x8b4bd3b2,
+    0x3dbc8dcc, 0x1ed2aa82, 0xc151e0d4, 0xc70b6528, 0x9c7c18d8, 0x9644b6d3, 0xaf81741a, 0xcd78a68c,
+    0x849b76a1, 0xf9d39c7b, 0x514f60e5, 0xec0de4ed, 0x4efeb43f, 0x569ff459, 0xabbb46ca, 0xac8d28a0,
+    0x2d3615cc, 0xdf0d9001, 0x7babe23a, 0x9571ab30, 0x0c7a8d40, 0xd42e8654, 0x97ae0f41, 0x1729df14,
+    0xc51c8682, 0x6ac959db, 0x833aaae4, 0x88ad6dc8, 0x0289cd83, 0x2fdc30ac, 0x94a8afb4, 0x583b946c,
+    0xcef11dd4, 0x26e5fc1f, 0xac2bc028, 0xa84ae3c6, 0x25343c75, 0xc7664088, 0x7ccd88bd, 0xd90f27a2,
+    0x41b3baa3, 0xe7bd9ed2, 0x3499ce7b, 0x0b169636, 0x5e618bd4, 0x1d4423c5, 0x18b62019, 0x1692d124,
+    0xc1bc5861, 0xc9329437, 0x600caa3a, 0xa37635dd, 0x3ec42a38, 0xa22ad1e7, 0x57f95427, 0x85bf75d1,
+    0x4e59a690, 0x2cb69cc6, 0x4b5f458e, 0x803ca7c5, 0x3bf44bb6, 0x3a20d916, 0xdbe42dbb, 0xf012e283,
+    0x8aaafd17, 0x9095b0cd, 0x95a8a267, 0x3a8d6df5, 0x942c9c3f, 0x9c29a95a, 0x07f6510b, 0x5f37446e,
+    0x393eedbf, 0x48c2d617, 0x603cd330, 0x0ff959c6, 0xac1e7bd7, 0xadfd4e07, 0x056c4846, 0xe28ee9d7,
+    0x726864d5, 0x547156d5, 0x513d5fa2, 0x64e55f5a, 0x10fb12cd, 0x7c786585, 0xe70e072a, 0x4a15b66b,
+    0xb66cd63a, 0x23278e8a, 0x76364851, 0xe767ed1e, 0x710fc582, 0x84d4b658, 0x06941a74, 0x126d7a65,
+    0xdbec8c5f, 0xd80cadce, 0xa8dc7f45, 0xc0f2edb9, 0x6e708623, 0xb076493f, 0x8951b815, 0xc9c5d2a9,
+    0x01990eed, 0x786c19b0, 0xff43b17d, 0x4e580bd0, 0xe462643d, 0x79cbab67, 0xb019f25f, 0x60685c30,
+    0x990ad9cb, 0xc778bb8c, 0x8cb96962, 0x1c053742, 0xab7a861c, 0x4f2b4e21, 0xb9d713e7, 0x9cea4b17,
+    0x1192c313, 0x741cc3ab, 0x0e536ad5, 0x8c8c4571, 0xe925daea, 0x4bdf4655, 0x5a157068, 0xf5b37129,
+    0xcb36d35a, 0x0c759bac, 0x54b2d23c, 0x70169304, 0xd1502415, 0xd8e75676, 0xc1814a87, 0x8dd1f866,
+    0xae404c65, 0x84a23ddb, 0xc65ea6ec, 0xa61bc013, 0xdd918022, 0x59740694, 0x15a08b63, 0x59423044,
+    0xf6b4fadb, 0x35f959f3, 0x509935cb, 0x0ca328b3, 0xb7686fb7, 0xd11462bc, 0xba81ce14, 0x34d1822b,
+    0x88ba0c66, 0xe923a559, 0xd45ddd51, 0x1c833391, 0xa83cb102, 0xf1039e38, 0x7cb10ccb, 0x88d5c8d3,
+    0x6e86cd53, 0xe389c2d1, 0xd8e5b987, 0xed969ee1, 0x9abf86b4, 0xcfc7ed4c, 0x6999e18f, 0x769d68ef,
+    0xb1caa251, 0x2eac27f1, 0xbe0d9347, 0x8c278822, 0xdd113c38, 0xe024e250, 0x43b75004, 0xc46993a5,
+    0x2f3d467e, 0xabdf886f, 0x7db9315d, 0x0879dd1c, 0x021e5b55, 0x8bff4388, 0xd9e3ab33, 0xec9c2f35,
+    0x296b7ef8, 0x267bbe30, 0x3d715b34, 0x1ab8a817, 0x0bab4eba, 0x6ffbcdc5, 0xf1c88657, 0x317e442a,
+    0x85fecaa6, 0x314c7455, 0x246eb8ef, 0x77427b8d, 0x5fba63ee, 0x4088bd12, 0xd503ec2c, 0x0e2e7fe7,
+    0x14f25c51, 0xd595a5ba, 0xeda8fbe4, 0xdba6dca8, 0x9c033a3a, 0x026fe4c9, 0xd6004e2d, 0xa73e327b,
+    0x349cda6c, 0x08747996, 0xce9bf29a, 0x31764ade, 0x872c6625, 0x46690542, 0x570ece28, 0x6d791ebb,
+    0xbd2a366b, 0x48aa2517, 0x37c85adb, 0x18874915, 0xa2b4b7b5, 0x72ccace4, 0xcc62c677, 0x50481d47,
+    0x4f7c8358, 0x80de8c46, 0x5e22fb07, 0xc3b456c0, 0x59c41c20, 0x4c59ba00, 0xa0f52c7a, 0xb2d8154a,
+    0xa09932df, 0x7a6a84ad, 0x9a2e7800, 0x8f25de7d, 0x83fbcde7, 0xb51fd0a2, 0x13fd1b5e, 0xc041c817,
+    0xf40c452e, 0x3a3b5491, 0x424a04c4, 0x85ab7910, 0x2c9d4f4a, 0xe025b222, 0xfe60e3ce, 0x6617e86f,
+    0x20b878ef, 0xf7b88c09, 0x5eb2b36f, 0xe6a42031, 0x58ddeafa, 0xfd45961b, 0xf3d1229b, 0x12a09838,
+    0x085a1f2e, 0xe3e5d350, 0x16668415, 0x50f39197, 0x60221016, 0x8374ba2d, 0xb1a0b1c8, 0x1ba56250,
+    0xd51ce3f1, 0x447758d0, 0xb2a6bf69, 0x78e65f1d, 0x6201a92a, 0xac9c9a3e, 0x46235dec, 0xf8c803d1,
+    0x83a4cb9b, 0xce5d113b, 0x4c6e90d9, 0x773a405e, 0x202a5abc, 0xecb2d0a9, 0x303a27db, 0xc5ec49ca,
+    0xaf515114, 0x79ec374b, 0x717fdbb5, 0xf978d71c, 0x7c06d139, 0x31eaeb9c, 0x75da2cc3, 0xe1045eb6,
+    0xc13c0646, 0xf59a02db, 0x8407970b, 0x43cac88f, 0x8912e8d9, 0xc0fe2f10, 0x4a7ac531, 0xc2bc4f8c,
+    0xcc4dc9dc, 0x16017a7e, 0xadac2baa, 0xe20a6755, 0x2cd547a1, 0x25f57de9, 0xc6fe7883, 0x091d2258,
+    0x0648fb0b, 0x8df548e5, 0x91de29ea, 0xd10d7ced, 0xd6353c6c, 0x0d4e7094, 0x76ef7f03, 0x7a37e683,
+    0xa3b5aa2b, 0x5eb58d34, 0xb8fbd566, 0x40bda459, 0x70882834, 0x72c62ded, 0x6bcf738e, 0xb825844f,
+    0xb7b4275c, 0x5ec580b0, 0xe33138df, 0x7753362a, 0x60a111c4, 0x66bb322a, 0xea661f54, 0x39494af3,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000134217728 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf2b6587a,
+    0x00000000,
+    0x9988fdbc, 0xac15477e, 0xb927999a, 0x85047278, 0xf82ce629, 0x0efe214e, 0xc678f594, 0x2a77f1bb,
+    0xb2d4fdbe, 0x908e8223, 0x4f520c84, 0xdffd7b99, 0xde9a1f30, 0x0ed6f194, 0x649886e7, 0xd08769da,
+    0x001ad7a0, 0xb468f2f6, 0xcd9fd8a2, 0x5da88352, 0x639410d9, 0x92afd6ba, 0xbee3f34c, 0x8fc57d27,
+    0xb5613be9, 0xc347796a, 0x426d02d6, 0x677ba762, 0x86bf73ec, 0x0e7fa81d, 0x584e037d, 0xdd48fc22,
+    0xd8a91701, 0xa287b990, 0xde629120, 0x128ca622, 0x18377876, 0xb7b28369, 0x2a6c3bcc, 0x41e86692,
+    0x44fe62fe, 0x48bc9a6b, 0x072757ab, 0xae61c1f7, 0xd7f8d7fd, 0xf7201c2b, 0xf5164b12, 0x5eb06998,
+    0x9f57d661, 0x7273b717, 0x05406834, 0x0fe2e179, 0x202a43b8, 0x6ee636ff, 0x04c9662c, 0x9853cb79,
+    0x3c260dfb, 0x2b2bb0ae, 0xa90f55ac, 0x3afba242, 0x07c174f2, 0xdc319c05, 0x0b83f9df, 0x6411c66b,
+    0x7f18a5c9, 0x0b35b16b, 0x620a52bc, 0xf390d65c, 0x86a49448, 0xaa046181, 0xb55fb11a, 0xb11b25a7,
+    0xb5015865, 0x192252f7, 0x4dac911d, 0xe0fdc5d5, 0x1ce40e7c, 0x2fd5f20e, 0x00d18616, 0xb32c5229,
+    0x13699a9f, 0x38e75ae3, 0x79111762, 0xcb58248f, 0xe70220f9, 0x2fab2e0e, 0x66551944, 0x95b45f61,
+    0x971910c3, 0xa6d257c6, 0x3f034fa7, 0x3574a86e, 0x458b176f, 0xd50f8c05, 0x0fee5090, 0x2ceb8aa1,
+    0xa0e0feda, 0x8e2052e7, 0x437adb44, 0x0d5549f2, 0x67e27880, 0xd1390f71, 0xe7b9031f, 0xf8d7a8ec,
+    0x30736634, 0xcd624b92, 0xf6415eb3, 0x11c541a2, 0xe8957ae0, 0xad36d58e, 0x02b0ede8, 0x55dd802f,
+    0xbf935194, 0x7f4fb999, 0x2ed89754, 0x68bfad82, 0x8884bed0, 0xb2533b8d, 0xaada13da, 0x0720b4c1,
+    0x21f4fcdb, 0xaa8a1d60, 0x497ecc1b, 0x47422af1, 0xe75e5fb1, 0x4f6688bc, 0x5283bccf, 0x98904838,
+    0xadf515f0, 0x5ad35071, 0x70a9e109, 0x91d9592f, 0xf032d572, 0x2c0ee688, 0x764effd8, 0xbfaf33ed,
+    0xe6bc541f, 0x506b186e, 0xd0425a85, 0x27923783, 0xa1f3b3a4, 0xaeeaad3c, 0x3c825d5d, 0x91df9fd5,
+    0xb2dd2a25, 0x10e865b6, 0xb4331655, 0xff11f013, 0x749f0610, 0x39dfe692, 0x52c783f6, 0xdcb5a15b,
+    0xcc4661aa, 0x7038c6a5, 0x3f693992, 0xd4e018bf, 0x12af76aa, 0xfd386818, 0x8b331a3a, 0x2392badc,
+    0x136ca033, 0xc934cf80, 0xbbc004d9, 0xd5b9a07f, 0x4a264299, 0x1b73459b, 0x4eb1cf6c, 0xeeb45e35,
+    0x6c56bf7e, 0xf267281a, 0xe77c5e55, 0xb61c0647, 0x17e17ec8, 0xa9d5e317, 0xdaad348d, 0x486049b3,
+    0xc805aa8a, 0x95a6d242, 0xfb27974a, 0x9c46aaef, 0x9c4f2c01, 0x560ce4bc, 0x5ad03bf0, 0xe9542808,
+    0x571e0798, 0xfd75e6c3, 0x68ddd8b2, 0x2e5537ae, 0x94c878ff, 0xe9c87348, 0x1c197049, 0x0c01931a,
+    0x6fdf81ec, 0x2a17dd72, 0xb78810f1, 0xfc169be0, 0x66ba7ccf, 0x6f3eb530, 0x78fb3dd3, 0xf84f9fbd,
+    0x5e062c43, 0x9e6f1572, 0xbfddfa2b, 0xbecf2a89, 0x3f0491f5, 0x5b8a7be0, 0x8e86c0fe, 0x668c087d,
+    0xe1927a01, 0xa59f7bc8, 0x4be45400, 0xb26a1161, 0x321287b8, 0x4fafc814, 0xd9ab2797, 0x23b23831,
+    0x64d7e25d, 0x415eb737, 0x9c464b17, 0x3677f835, 0xc78cbeaa, 0x73800f2b, 0x26b1c5d7, 0xb8b0b9d2,
+    0xa0432297, 0x50a707f1, 0x9c7d082b, 0xab3333c7, 0x91ef6298, 0x317cb36d, 0x03d25afd, 0x709754cc,
+    0x5b8759a8, 0xb9edf449, 0x9637eca4, 0x336f4716, 0x0b5de440, 0x9695acb6, 0x2002ad13, 0xc5eda0e6,
+    0x79c17818, 0x69f83265, 0x19ce7d8f, 0x8866059e, 0xfc3ce08f, 0x54404fb9, 0xcfbcf859, 0xd9c09417,
+    0xdfad2d20, 0x39f6ad2a, 0xf84a63c7, 0x5089120f, 0x867dd229, 0x31e246e8, 0xdf8600c4, 0xa3f7fd5c,
+    0x86a71548, 0x94b63b67, 0xc606f43a, 0x33b973ed, 0xee164ba0, 0xa4b5a350, 0xf93feb18, 0xaafdecc4,
+    0x83a5de39, 0x5dc949e5, 0x94912892, 0x69df8fd4, 0xa653fe36, 0x4478ab0d, 0x7f848fbe, 0xd5937ad4,
+    0xb57826bd, 0xd9073378, 0x7996c9d4, 0x4ae35758, 0x80b23e9d, 0x912172d4, 0x1d1b7f88, 0x98676ce6,
+    0x5feeed3f, 0xecdc2fa6, 0xddd085f1, 0xd54c0526, 0xb9814a39, 0xb9f7b4f9, 0x3a597d50, 0x0c610902,
+    0x9a453020, 0xfecbd85d, 0x1c2e44cf, 0x42429980, 0x4578e4da, 0xdc8ae791, 0x0eac9eff, 0xd72c6246,
+    0xb55088c8, 0x349f0ca5, 0x8c3ea19f, 0x385c4cd9, 0x18ee6353, 0xe0963929, 0x01e51d85, 0xa09da61f,
+    0xdd166808, 0x1ab2dc39, 0x15886754, 0x4e8e057a, 0x6b64eb13, 0xdbd6db5b, 0x50a8b7f0, 0x7fc730cd,
+    0xc5779fc7, 0x28807d6f, 0xdbf3c4f9, 0x1d5a77ba, 0xf0f51423, 0xfcced081, 0x442f6433, 0x24c36b75,
+    0x5476b175, 0x3f03e5ec, 0xb4d859f5, 0xc51033fa, 0xcfa29c54, 0xeb3321e5, 0x821b9ac7, 0xd9e9223b,
+    0x3bc91f70, 0xb0267fe1, 0xe00efa70, 0x6905d38e, 0x1c305646, 0x8396fe90, 0xe9bef06f, 0x9c936aa4,
+    0xdf684874, 0xdd8cc914, 0x616beb66, 0x8c3ce134, 0xac2f6eb3, 0x00da96fe, 0x367adf76, 0xc463db90,
+    0x59bedd01, 0x26f34a9c, 0xc61e7778, 0xc991ccea, 0x64f6233b, 0x12a3378a, 0x607108c3, 0x4dd93c72,
+    0x211c21ea, 0x5ba43760, 0x6d4cc64d, 0x6763a1c0, 0x6f1da1fb, 0x5620e582, 0x464270c7, 0x9abab0fe,
+    0x2d301265, 0x2a94fd4a, 0xfb7abc44, 0xd10a01eb, 0x6b723067, 0x61c8c0bc, 0x4a1f7c59, 0x4584b44e,
+    0x86ff0efd, 0x63af6b74, 0x214d870f, 0xfe15c9a1, 0x44d4d082, 0xe679a1b4, 0x13f6550e, 0x7440497c,
+    0xa02d25d5, 0x0bffe30a, 0x998fd53a, 0x6af224eb, 0x67c2bf89, 0x9fbe548f, 0xcc01141b, 0x55f72657,
+    0xcf59aa87, 0x38101e63, 0x98ff1834, 0x01be74ad, 0xb0705de8, 0x7ee23d86, 0x842111e7, 0xcb0003a6,
+    0x2ff96ea1, 0x6e24ea5f, 0xdc6cdc94, 0xadbc1abe, 0xda7f640a, 0x483b78b5, 0x75393506, 0x5a17923b,
+    0x175dccf8, 0x322cc373, 0x4466b699, 0x10817be3, 0x65e8fb48, 0xa20acad7, 0x06f3fd1c, 0xb54f6a90,
+    0xf1a3be3c, 0x8dad878b, 0x7e4223b2, 0xc229e336, 0x7915c14f, 0x20e84544, 0x2c862c58, 0x5233b3d8,
+    0x61b3af12, 0x1dc75ea3, 0xdbe22546, 0xb815ad2d, 0x3708b846, 0x880d14dc, 0x320d790d, 0x2b6ce069,
+    0x46a2b1f2, 0xaa8f4f00, 0x66a8336a, 0xccfcbda0, 0xe3f06f17, 0x1331fdfd, 0xa13a3070, 0xc399db75,
+    0x602afae9, 0xc21c5c50, 0xc462c319, 0x4e4cf5de, 0xb7a00bb8, 0xdff8d9e6, 0x65172401, 0xc1bd326a,
+    0x1674cff3, 0x42af5837, 0xbc2614fe, 0x3f882a56, 0x1b041746, 0xb5a721fc, 0x23fb857c, 0x1d40d8f0,
+    0x7d4451f8, 0xd87d7656, 0x89c9ac05, 0xdaea7c5e, 0x23e7ec66, 0x4fcaa51c, 0x72afff5e, 0x22955fac,
+    0x35695837, 0x026a2497, 0xcfd29a6a, 0x52d53e35, 0x0066adfd, 0x7971ad0e, 0x04403379, 0x118e2326,
+    0x2f583f5d, 0x93f55b49, 0x29cdaab6, 0xec5febf3, 0xf2d1cfca, 0xebd96541, 0x49a0dd6b, 0xdce58300,
+    0x15f3dbd8, 0x773bb7a3, 0x1d2a7142, 0x43fe75e5, 0xc2020cd6, 0xa6870452, 0x747f5f2f, 0x8cd0e875,
+    0x7e8b0072, 0x195b0a53, 0x9a96bac3, 0x3d136b8b, 0xc368c0cc, 0x91658b63, 0xdbfee54e, 0x4b280161,
+    0x8eecf9cf, 0x771428d6, 0xe2aa08f2, 0x2c096fa1, 0xa0fde9b2, 0x34eaf871, 0xea65c0ca, 0xe4a79aa0,
+    0x9f0d5dfb, 0xa75e6792, 0x120adfb6, 0x3523b716, 0x0724badd, 0x432bc452, 0x615d17d7, 0xcacf6060,
+    0x141e7520, 0x52279a8c, 0x2f07fc52, 0x96e185af, 0x881cf739, 0xc83c76ba, 0x308a424a, 0x8545dc44,
+    0xf5af24ba, 0x3794153b, 0xbe2db7c4, 0x3e66d399, 0x4b3ceb6f, 0xb8812db1, 0xcb21701d, 0xe2600fc4,
+    0x2a1af6ef, 0xa0f53be1, 0x88388d1b, 0x9864b9ca, 0x40dbed42, 0x5bd33500, 0x3a67c526, 0x4167dcbb,
+    0x5605ed10, 0x798f1607, 0x823fabd1, 0x417a3a80, 0x444b2b15, 0xe10abf4e, 0x0457a59d, 0x49b2bcca,
+    0x89aaebe7, 0x5baba899, 0xba99075d, 0x44f08303, 0x8c8adf2f, 0x93d3c208, 0xa332a67b, 0xeb1e3ba4,
+    0x429730d9, 0xccb95c03, 0xe01b9354, 0x7d52389e, 0x87a8cc57, 0x9ddc9fa4, 0x7b6428e0, 0x9b1a6eab,
+    0x4d770ed4, 0x1be8bb2e, 0x4497b7d3, 0x67bc411e, 0xcd0145dd, 0xefc3a902, 0xc26107cc, 0xa72b00c7,
+    0xa4d71802, 0x668909f0, 0x538c0feb, 0xcfebddeb, 0x66e11bf3, 0xe9b63a07, 0x51942c27, 0xddb55d3c,
+    0x5d5fff0c, 0x174b7eca, 0x2d4eddcb, 0x8429afde, 0x11425432, 0xe17b4ff6, 0xb2fc7a27, 0x6cda6fcc,
+    0x7ed51c15, 0x4ab80a43, 0x2d0e10e0, 0x9e5b9f35, 0xd82edda3, 0x3dad8dae, 0x967714fe, 0x0b3cffaf,
+    0xf0ce6fea, 0x95b77b74, 0x5c9ab49b, 0xcc70186c, 0xcd3ff202, 0x0fff982e, 0x78ccae51, 0x0ab71ba0,
+    0xa0070c25, 0xb21e8013, 0x11bc0f1b, 0x1d5cc5e0, 0xc4fdd8da, 0x0ce153c2, 0x4243b002, 0x09661406,
+    0x0ac1cc68, 0x280e1059, 0xc22312de, 0x537385e0, 0x983a0d14, 0xf1bd50ad, 0xd01b0f7d, 0x0dfd515a,
+    0xa79b479f, 0x0c1be3a4, 0xe1a7018a, 0x6324ea53, 0x124459c7, 0x9b135282, 0x9f816203, 0xbf403fd3,
+    0x09a62095, 0x87260967, 0xf9e0db43, 0x51dcdd2d, 0xe58d36b8, 0x1f1b92f2, 0xbbcb62ba, 0x2e5665d0,
+    0xda718387, 0xdef0318d, 0x98b23c3c, 0xb9f8ec80, 0x692105ea, 0x45ff80f8, 0xafa33e9e, 0xe742f839,
+    0x02ef5422, 0xdfe0a478, 0x8912752f, 0x476244de, 0xbfedab2e, 0xcdaba4c7, 0x03a84618, 0x941bc89c,
+    0x5916f8c3, 0xa23f8eb1, 0x24f14966, 0xc4d773c1, 0x0a786b39, 0x0bcabb06, 0xde05b61e, 0x3ce7d355,
+    0x1c37f0f1, 0x9fb45e3f, 0xb2d8ae87, 0x9835b66d, 0x593c9a0a, 0xd84a2efd, 0xa2179c77, 0x1c1494b7,
+    0xa31a5862, 0x07a37ca5, 0x88eccf52, 0x0718d435, 0x6f4214ef, 0x110173dc, 0x2add6eef, 0xe1b9da2e,
+    0xb2b1faf6, 0x9d9295d4, 0xe955a7d6, 0x95587314, 0x9a855309, 0xdbbc9228, 0xae3b9191, 0x21053dd2,
+    0x1f44c66a, 0x59403104, 0x62b098a0, 0xed890c40, 0x66a63f15, 0xfdd77cc6, 0xf68a7881, 0xbfe0aefa,
+    0x9dba2da2, 0x752e87e6, 0x822c3a1a, 0x95522125, 0xfb4c346d, 0xc907d820, 0x83b5c4eb, 0x901e3ee8,
+    0x29b7901d, 0xc2f9516c, 0xe307fc6e, 0x93307630, 0xec1cc49b, 0x91354aa3, 0xf01d28bf, 0x8ae6aa99,
+    0xb1d260b6, 0xcdecefe6, 0x18c64f2e, 0x7088d06b, 0x86e8b537, 0x7a3995c0, 0x6e221b8c, 0x728d8025,
+    0xe8947f78, 0x163fd0f1, 0x7379ef0a, 0x4f4406f0, 0x83ea96aa, 0x70b9a9aa, 0xe8a2310e, 0xfbbf4858,
+    0xf42d01d5, 0xa4c24daa, 0xc2584331, 0x6b816897, 0xb914a2be, 0xaef51d84, 0x1a06c9e7, 0x54fce504,
+    0xa905ca74, 0x5eeca3f3, 0x55e863c5, 0x3a90df1e, 0x2ae0b15a, 0x3b5830b2, 0x43dc558b, 0x1a01e10e,
+    0x0319c12b, 0x73d93856, 0x7dd4291a, 0x427a3ab7, 0x621c6c90, 0xca51054a, 0x485e6f85, 0xa70a966e,
+    0x4debe9ef, 0xe085e1a3, 0x4e7e346b, 0x6b1ca96f, 0x9ac5779d, 0x0b648322, 0xbb461923, 0xe130f84b,
+    0x61c426e6, 0x51c3e440, 0xc8f4e643, 0xdd38b57f, 0x39e07ea9, 0x28776440, 0x9b80243b, 0x99cf6956,
+    0x86203422, 0x2b6e8d89, 0xdb52f60f, 0x1d4c494f, 0x3012d04a, 0x51ecc833, 0xa1fbbc5b, 0x965fb55b,
+    0x2696abe5, 0x8bf656a8, 0x13ed01b9, 0x225c134e, 0x0bd9c354, 0x7784c7b9, 0x97964c52, 0xad9576b2,
+    0x665fc324, 0xc76b2250, 0xe0d68b3a, 0xccdfdfc6, 0x3fec303e, 0xe6113802, 0x59495f5a, 0x5c443805,
+    0x4d80bc03, 0x575e3c3a, 0x6aac16a5, 0x2985f2f9, 0x66224428, 0x3c908576, 0x13c4922b, 0x624e25b9,
+    0xa5cee1c7, 0xe0b7ccde, 0x2f71ad3f, 0xaf6c7874, 0x16875ce6, 0xa77286e0, 0x6828d74c, 0x0879238f,
+    0x8c72a130, 0xfda31037, 0xc0de0027, 0x7fff0dcd, 0x9ea50601, 0x8fa0ed6b, 0x0a2bf934, 0x4636b40e,
+    0xd4630bfe, 0x00530262, 0x69c7a7cb, 0x3a825a81, 0x0199a894, 0x32fa7613, 0xf1aca718, 0x95f61169,
+    0x754a6cd7, 0xf46227b1, 0xde28eace, 0xe71eebc7, 0x9982b752, 0x847a28a8, 0x4bb38fa9, 0x52d2346d,
+    0x34dbde7c, 0xa70f2bd6, 0x78b3ea74, 0x84b09d00, 0x746c2862, 0xe671ea09, 0x081f97c3, 0x3e7cacfa,
+    0xaf5d0dfa, 0xb226d3e6, 0xb9aac914, 0xf63e3a39, 0x2ba5c18e, 0xb390a1ee, 0xe9cdbb3d, 0x20d17490,
+    0x4824eeb4, 0xc949e097, 0xf29456ba, 0x8041a9e7, 0x80da5b02, 0xf74cc986, 0xbd9c6a26, 0x2483a257,
+    0xce4da407, 0xe0855656, 0xe1ff2227, 0x2add35e1, 0xbd1d95a3, 0x2654a867, 0x34825fff, 0x7d68c60a,
+    0x68be324b, 0x3c3ae775, 0x0c38f0e3, 0xe3daba9e, 0x32c0c6f4, 0x23559d6b, 0xf525c26d, 0x115a6bbc,
+    0xbc317a33, 0x360c0ac6, 0xc021921d, 0x61a23ebd, 0xf0f85ef8, 0xeda5c019, 0xa1e5f3b6, 0x74df4912,
+    0xa318751e, 0x8ba99834, 0x8731ac94, 0x2bf8458a, 0xdbfa008d, 0x9cce3bd5, 0x737e91f7, 0xd6f68f91,
+    0x6779312d, 0x0224f1f4, 0xea800760, 0x8b002536, 0xdc29f95b, 0xc61c87b5, 0xfa82bc9f, 0xda2584a8,
+    0xd9555264, 0x61a83190, 0xbb2fdc9c, 0xb1755234, 0x4b9ec1db, 0x9be4e547, 0x7c1cd72b, 0xc31df5c8,
+    0xdf78a3a0, 0xd913bca2, 0x57ce21c5, 0x1b3f7ede, 0xd46649c3, 0x50017bfd, 0x1a131c6e, 0x2aaf8d71,
+    0x3faf54eb, 0xca2b94a0, 0x3c4486ce, 0x4b552d33, 0xd693f343, 0x48262f43, 0xeb69dede, 0x5b460fe6,
+    0x9030422a, 0xcd42af95, 0xdcab7f5b, 0x90466f8b, 0xa770817a, 0xaef64d2c, 0xf777b3f5, 0x317ad95f,
+    0x8337818f, 0x95276bd9, 0x955b1d08, 0x72b86576, 0x42e9cd9c, 0xa0b62d4a, 0x7c706a8e, 0x2efc0f8b,
+    0x7ac2bd54, 0xbeb1dd28, 0x9baf43c3, 0xdc54b66b, 0x51f602b8, 0x3a29e6d8, 0xd00da307, 0x17150e34,
+    0xc35180e0, 0x637e9239, 0x7d07a3ce, 0x3fabf0c7, 0x53179a44, 0x132c179d, 0x29540db2, 0x6eabc382,
+    0xd99723ef, 0x1fb7256a, 0x41f81090, 0xe9a1961e, 0xb7361c29, 0x93751f90, 0x033578e1, 0x49c0f350,
+    0x3ce45086, 0xeac72947, 0xd0b1313c, 0xeea8fb5a, 0x7b6b849d, 0x66b2362f, 0xbeb1cd0d, 0x6ecaaf35,
+    0xc64a979b, 0x01d3e3d8, 0x02f8ede0, 0xae42c001, 0x434d1bbd, 0x834fe0e5, 0xdcb8c86a, 0x1e4e0a4c,
+    0xd413f6d7, 0x9386d40c, 0x8eecc042, 0x6ab7dcb2, 0x038bb202, 0x27affa1b, 0xcf3cabe4, 0x37a1106f,
+    0xb8667032, 0x52b410e5, 0x3c948dd6, 0xad12baf3, 0x95367598, 0xe837b65e, 0x0af1095f, 0xeb4b61c0,
+    0x1d18c084, 0xaacb43ea, 0x0fdab685, 0x55958cbc, 0xe26dcda1, 0x2b26489b, 0x341dde7a, 0x899d36d7,
+    0xd7c9caac, 0xdf2cf632, 0xc675b24c, 0xa05640ad, 0xe503f9ae, 0x18127e55, 0x48b61cd1, 0x0f65681f,
+    0x71ea48b9, 0x153078a2, 0x32eb829e, 0x8afddb08, 0x901e8abe, 0xbb346ec6, 0xe557b21f, 0xe5ca08b4,
+    0x6d0c0638, 0xb54af227, 0xe7ad7913, 0xb77283fd, 0xb92924c0, 0xa258c202, 0x57214a1e, 0x741e230e,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000067108864 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xf95b2c3c,
+    0x00000000,
+    0xc6413ec6, 0xf044b8a4, 0xee0032b5, 0x6fd0d410, 0xc57687f8, 0x5d2f8ba3, 0xc33c22e5, 0x9a8e6eef,
+    0xc4da26d7, 0xbad66e8f, 0x7648075c, 0x735dae1a, 0x14ea5d3c, 0x3dbdc811, 0x00e40cbe, 0x77a6be66,
+    0x712f25a8, 0xdcf7eb74, 0x702d8fe7, 0x79842f4b, 0xe6820b2e, 0xe7823cda, 0xad8f74a8, 0x42e834c9,
+    0xe1443325, 0x616f96c3, 0xef78230e, 0xa133b1a8, 0x6e76ee5b, 0xb524130e, 0x38763e76, 0xd6b38790,
+    0xe006dbf9, 0xf0e48124, 0x7e1ad4e3, 0x7adba174, 0x894335cb, 0x55563c7e, 0x5259f121, 0xdf128e5f,
+    0xbf4ffffb, 0xed2c9f26, 0xb3c8b5b5, 0x5567b2b7, 0x7cad3aba, 0x4d60fc42, 0x1fd4da99, 0x0196a822,
+    0x9fcfa1e0, 0xc1c38081, 0x9939c943, 0xa0547d28, 0x0caf11b4, 0x8e61db4f, 0x0800df13, 0xc876cb41,
+    0x9f02bbf9, 0x2221aa2a, 0x17677b1c, 0x7592d4d9, 0x3e981be1, 0xc8ca4683, 0xa592030f, 0x1475cead,
+    0x17ddd9ee, 0x830ad560, 0xf34bb90f, 0x1feed7c6, 0x1b3efd76, 0x9631fd8e, 0x6fa3c52c, 0x33191390,
+    0x02402f6f, 0x249fd33f, 0x509ad79b, 0xfffab8b3, 0xc507a7d6, 0x5e7b0acf, 0x1ebb800c, 0xb2b22415,
+    0x69c94492, 0x08274f2c, 0x4732b153, 0xa34f2e5f, 0xf4cca1dc, 0xbf9c5f92, 0x128b2920, 0xb86b98b7,
+    0x4fdcc2b1, 0x7719104d, 0x215d2de5, 0x39e6c63e, 0xc1461a1d, 0xcf57d587, 0x807a37a8, 0x3bb98e21,
+    0x33491284, 0xcc9e6076, 0x55653186, 0x7d4512f6, 0x1516bc49, 0x507191bc, 0x1659cff4, 0x2d3f36ce,
+    0x3d8651fe, 0x335475f7, 0x6e522a79, 0x782e8a7d, 0xcd85038c, 0xcbe47629, 0xb55044a4, 0xbc9faa52,
+    0xd7d195c0, 0xc8967dcf, 0xba824f7c, 0xf36c7afc, 0x197f16fe, 0x288aad2a, 0x92f403ee, 0x24fe7269,
+    0xc398576b, 0x21c23994, 0xe2bcb1c0, 0xb9148d97, 0x913df4ca, 0x5bbc01ae, 0x8225693e, 0xb842c959,
+    0xd76225ee, 0x9794f36b, 0x966293cd, 0x01ac5961, 0xac92f03c, 0xc5348a47, 0xc261db4e, 0x456e80e4,
+    0x3bfca3fe, 0x067eec6a, 0x5b980448, 0x072789b2, 0xd58dbb10, 0x198b5537, 0x18b5be85, 0x35fec00e,
+    0xc80c738c, 0x5a065d8e, 0x8af88123, 0x6bc7069a, 0xf9f9ad47, 0x70724a12, 0xe1696bd8, 0xa1939f9a,
+    0x886c3931, 0x6f546516, 0x3ddcc0e9, 0xccfeb5e7, 0x1a69be25, 0x87b85947, 0x956b6715, 0xa3c6ce7d,
+    0x228a216d, 0xb802df19, 0x569530cf, 0x447bfa6f, 0x26a8598b, 0x872c7d2d, 0x19078cd0, 0xe1c8d0ab,
+    0x82832fb4, 0xc37292bd, 0x5e6eece7, 0xf9b78cbd, 0x70146fec, 0x74fddf63, 0x2703479e, 0x676cf81c,
+    0xcfd9aada, 0x3d0a6cc3, 0xc1831b47, 0xbdba744c, 0xb59701b8, 0x7135aaed, 0x36bdcc59, 0xfaa29e0d,
+    0xa64bba19, 0xbac53b8e, 0x550dc91f, 0xded68176, 0xd25b4277, 0x65d90938, 0x8dd7d6ae, 0x423a3363,
+    0xbf5c5f42, 0x97e1db53, 0x42cbf603, 0x340d4f15, 0x91d77bb6, 0x591f2355, 0x14510522, 0x901fbc19,
+    0x2930330e, 0x3692e31c, 0xb0471ed4, 0x8c80e826, 0xd0489a93, 0x2415014c, 0xfdee7594, 0x66d6953b,
+    0x708c74d0, 0x056dc53a, 0xbf22bc42, 0x2ee0084c, 0x90490dc8, 0xce97f936, 0x3a04299a, 0x73d70cbd,
+    0x579ed948, 0x40f7724c, 0x7255fd49, 0x1875bf08, 0x033eef0b, 0x1a62191e, 0x473bb7ee, 0xe42c442b,
+    0x0857c36b, 0x0b560dc4, 0x93da40c6, 0xeef4c494, 0x5be27b5c, 0xa5877682, 0x24754837, 0x9e93ee29,
+    0x637f0429, 0xe946d21c, 0x445cc552, 0xfe3ebc24, 0x9ba062bc, 0xe5289992, 0x4b73ab65, 0xe70519d1,
+    0x6d6f085f, 0xc6038c1f, 0x9d2045b8, 0xacc3eb0a, 0x440c6ac2, 0xc5282482, 0x3c565e77, 0x5d50c387,
+    0x59526f84, 0x07e8d9f7, 0xb86fbef9, 0xe8389217, 0x9bb861f3, 0x8871e342, 0xcdd343cd, 0xed37b2dd,
+    0x7119bf58, 0xf2c4cfcd, 0xdb29cc3a, 0x725304a7, 0x5410f4b6, 0xaa31164c, 0x09833839, 0xff9dab08,
+    0xd91cb668, 0x0c5d78f4, 0x2c70fedf, 0x0d6a1a71, 0xbf1aeaa8, 0xa1eb606f, 0xe8c11b2f, 0x6b47a5ac,
+    0x835ee7c0, 0xccdc8038, 0x4ace0881, 0xf9917d9b, 0xcce0e8e5, 0x32a10256, 0x22438c70, 0x540d286f,
+    0x3814912b, 0x1027ed29, 0xf09338f4, 0x8b93a4ef, 0x0e7ad40d, 0xf9b25dc4, 0xfb6fa12a, 0x6f2a0f5c,
+    0xac20b92f, 0x0130695a, 0x5013e9ef, 0xb3339956, 0xbffa5585, 0x24f45a76, 0xfb1d2248, 0xcd3a89b2,
+    0x2fb8816d, 0x47accdda, 0x9fc4d07c, 0x2d3ae824, 0x6180057a, 0xd7d795be, 0xf3774c45, 0x040c3bb7,
+    0x449cb417, 0xd9891ed4, 0xdc05f4e7, 0xc3a4cb55, 0x19bdfcea, 0xb87999e6, 0xa0ee4221, 0x5210b702,
+    0xda14c098, 0x71dc55c6, 0x75ba63fd, 0xb7a70482, 0x4e62a5bc, 0xc6674b68, 0xbf4cc83c, 0x0167863d,
+    0xdda6d1d5, 0x0fbf2e9c, 0x442f1fd5, 0xcbd23203, 0x54c333ce, 0x140d2bc9, 0xce2986e8, 0x8d61754e,
+    0x4fc5c635, 0x64c7ee41, 0xbb008327, 0x6cb3e75d, 0xb4894945, 0xe3a3bc99, 0x56b3084b, 0x58233ba9,
+    0x98a33ae8, 0x45523e8e, 0xbd526d30, 0xcc83a11d, 0xade26402, 0x6e026db1, 0xfe4951ef, 0x7798f4c6,
+    0xd40d452e, 0x08f554fd, 0x63dcad81, 0xb39a5fc8, 0x87d6c32b, 0xa356d02b, 0x8349ee90, 0x0273b491,
+    0xa50109b2, 0x3cfd4957, 0x19edf04d, 0xe56e5a71, 0xbcfe2506, 0x58830ed4, 0x9802d8a0, 0x98079b87,
+    0xef925b0c, 0x9138e4cb, 0x3811cf4c, 0xa8861cc2, 0x6deed3c1, 0xd15f25b5, 0x48c5415b, 0x16fbd67c,
+    0x6b9226f1, 0x101f3378, 0x3d8b706d, 0x6ee20c0d, 0xbe7c70ed, 0x2281125c, 0xc0f70afa, 0xd4dfb53c,
+    0x6908205f, 0x6da7cf18, 0xaab32a29, 0x092a103e, 0xc72fb1ba, 0x52ae926e, 0x19c6b9bc, 0x1848608d,
+    0xf72e4065, 0xed22eace, 0x44a28541, 0x90600986, 0x1417898c, 0x3c4694c9, 0xecbdf1e2, 0xc00bda72,
+    0x2ac1df60, 0x0ab6b5b4, 0x9f6470ca, 0xe7d76068, 0xd3fe9cd3, 0xec937a79, 0xbd656d21, 0x979ca6b2,
+    0x1adb8f96, 0x91eb3962, 0x05aea78f, 0xf1ff9952, 0xca4e9779, 0x8e75ec4b, 0x556e61fb, 0xb4f04408,
+    0x2139cfe6, 0xe2dc3c1b, 0x4f6e37f7, 0x7640fb84, 0xde5713c3, 0x4a12cb2a, 0xd8ee5d57, 0xda20c040,
+    0x7faaf785, 0x54746ba8, 0xb6e7022a, 0x5ace0569, 0xfa742ad9, 0x12920b1a, 0x727caef2, 0xc29b2e88,
+    0x004eece4, 0xc27de8c3, 0x19f34679, 0x8b1e7275, 0xe5616241, 0x171be78a, 0xd5f0937d, 0xff485bcc,
+    0x268c0a3b, 0x7597a09f, 0x20f2378c, 0x78eb698b, 0x144488d7, 0x662c86a9, 0xd6e4cc11, 0xa84c4bfc,
+    0x283ae66f, 0xd2961c5d, 0x0b031daa, 0xfc92bd57, 0x48a6a10c, 0x5f0c462e, 0xde223ea2, 0xfbcb0840,
+    0xb2116d1e, 0xe5dbf2c3, 0x0043ced6, 0x5a60e640, 0xc7fd4857, 0x3c1272ea, 0xc76e59b9, 0xd43f8451,
+    0xbebd8ee4, 0x5f7657ab, 0x74983fd7, 0x3ff95e28, 0x3fe549d6, 0x7f41bdd3, 0xa097db06, 0xc45c3b63,
+    0x5316f4d1, 0xe71c0a32, 0xeaba0723, 0x046cb7f1, 0x03f7a7b4, 0x12f2d721, 0x7940fbb0, 0x298f0869,
+    0x2674bfe0, 0x4ce41547, 0xd9edc194, 0x4f458044, 0x0da216c1, 0xf67688d8, 0xe3453d45, 0x31635b3d,
+    0xe67bf635, 0x4942ea5b, 0xa3c590bb, 0xb198b535, 0x0173b19e, 0xc36a23ef, 0xb91f766b, 0xfa8da4b3,
+    0x16a1f197, 0x5a587c59, 0xfe7f4b87, 0xa61a85aa, 0x1997a160, 0x3a802b17, 0x6291cbbe, 0x82035efe,
+    0x86db4d6a, 0xa1d9823e, 0xf2fcd370, 0x95ad1df4, 0x4e868bd5, 0x9d5fc971, 0xbbdb64fc, 0x6e8dcc86,
+    0xbdf34bc7, 0xb44e4f84, 0xbff3bb31, 0x5a4f6a84, 0xd7eb27c8, 0xddd94e21, 0x4e509acd, 0x882c5433,
+    0xd4542f5c, 0xe533f5d4, 0xd097d7e6, 0xf8c9ea01, 0xe1fd8fbf, 0x8f10d016, 0x96f4ab3d, 0xd11760fa,
+    0xff586dfc, 0xdbe21efe, 0x5b0027b4, 0x56a6f51a, 0x214ba7d1, 0xa970cc42, 0x49fac2a3, 0x308d5279,
+    0x33cafcd0, 0x46c99965, 0xe3964272, 0xfff02cab, 0x3cf26280, 0x490b88a3, 0x450ed391, 0xa0b61239,
+    0xe4b92471, 0x8053abdf, 0x5c58c956, 0x413797ef, 0x3b42466f, 0xe9dfc638, 0x8652c186, 0xee0fedad,
+    0xfe79feea, 0x87930435, 0x8c0a2033, 0xbbe7baf3, 0x53e175b5, 0xfc62a77a, 0x21de16e8, 0xe9bd9ab4,
+    0x54bf443b, 0x7e3ba615, 0xab67b3e5, 0x6a8af39e, 0x2f8d595f, 0xa74b5c81, 0xae9ada02, 0x39cc1523,
+    0x9193a8d4, 0x05def91a, 0x88bd5b98, 0xca6bc367, 0x04adf5a1, 0x0af4c3f8, 0x62e3b3be, 0x86e40af8,
+    0x0498d304, 0xcb9108d3, 0x2bc2b094, 0x8d110c96, 0xa92c458c, 0x592415f5, 0xf6f61f10, 0x8c8c6879,
+    0x1315171f, 0x47e8bb9d, 0x75aad038, 0x8a3448e1, 0x7f1420ed, 0x26f61e10, 0x5302f444, 0x9c952e7f,
+    0x4dc251b8, 0x8f8eb385, 0xbcbfe719, 0x37e1a638, 0xbde20401, 0x1fcdd2e9, 0x530cd334, 0xc5e2e2cf,
+    0x9d999275, 0x9d96d752, 0xeb811455, 0x46b7873e, 0xa7bb8acd, 0x9b9650df, 0x07a81bcb, 0x76b4babd,
+    0x0be320ec, 0xc0a227a1, 0xed8e10a4, 0xa2b17e1d, 0x73175360, 0xba0c6f95, 0x5d5d39b9, 0x860a8b31,
+    0x89a8645e, 0x50737c3c, 0x4fd384c2, 0x4180706a, 0x9fe44475, 0x24484838, 0x5718f374, 0x588b76ed,
+    0x854a968b, 0x18096bb4, 0x61fa781d, 0x67377187, 0x16de6db3, 0xc440ee7d, 0x7db1dcdd, 0x9d738b14,
+    0xb20a95cb, 0x712a5e6d, 0xa564a308, 0xd91f35e7, 0x7bddbe68, 0x08edf7f1, 0x247a5596, 0x83a43821,
+    0x2d5c16ab, 0xe5338606, 0x88565328, 0x21da368b, 0x6f5349c2, 0xe3c2bb94, 0x825529fb, 0x32af888d,
+    0x6f8ee205, 0xbfda13bf, 0xe1759b74, 0x2ffebd80, 0x5d0e7a6c, 0xd6b8defa, 0x2ceeff8c, 0x040445c8,
+    0xa142477e, 0xceb09539, 0xdf66d27f, 0x9918e9c7, 0xf0613af8, 0x7db389d3, 0x6f54defb, 0xbb1400fa,
+    0xade8f56d, 0x7b072061, 0xd8f50bbe, 0x5f74182e, 0x87b48b14, 0x9ed61319, 0x570f6963, 0x4380d858,
+    0xdd090f43, 0x1b31aa41, 0x0bc14765, 0x6db30c57, 0x7f3a0095, 0x0ca93f60, 0xbd1b8de1, 0xdecdda3b,
+    0x3237c0cf, 0xd78a003b, 0x7f4e2462, 0x47c1422b, 0x5eb4f6d3, 0x8e2ce12f, 0x1c8cebe8, 0xff967be2,
+    0x79775fc6, 0xabef32a4, 0x9e8031bd, 0x454afe19, 0xc78adc08, 0xf158e7b9, 0xe3bcf671, 0xf1a2653f,
+    0xb134e8c4, 0x22bf2dd7, 0x27042a0b, 0xab37ef48, 0x7c2ad213, 0xffb5f09c, 0x54aa596a, 0xd5274806,
+    0x47105e9e, 0x20631129, 0xf422798c, 0x45c72cda, 0x9a3b4ed4, 0x8039f7fd, 0xc1df2b05, 0x68cf1c1e,
+    0x47f3d291, 0x6e3a39a2, 0xcb96018c, 0x9612c43f, 0x2babec1b, 0xd88e5f3e, 0x9df5c1a8, 0xace487cb,
+    0xb6e4f824, 0x25eba809, 0x295d9c6e, 0xfd3133fe, 0x61dc902a, 0x54ef7359, 0x9951942b, 0x89c3efec,
+    0x11b2d0c5, 0xb9d731f5, 0x92d35a6c, 0x5bd2ce67, 0xc2f7c341, 0x321adc22, 0x0d64d088, 0x5c598246,
+    0x1f660f5b, 0x627efc4d, 0x2153ab18, 0x07ce7c00, 0xeae8138c, 0x35112171, 0x8502d480, 0xaa612253,
+    0x22697a68, 0x1d6bc25a, 0x7bf23e14, 0x720322af, 0x69214e41, 0x93ae3b80, 0xa76f64f2, 0x12c6161d,
+    0x21c4dcf8, 0x6b23ead1, 0x6c504319, 0xb5b946a1, 0xb253b379, 0x4c4c5b30, 0x07945a33, 0xecde75ff,
+    0x60166e3c, 0x79c55b43, 0x4f539e49, 0x3246d107, 0x71ced1ba, 0xb9e7bd69, 0x81a60b8c, 0x33174170,
+    0xacb47994, 0x02ac9705, 0x6812b305, 0x8341863f, 0xa9c402bd, 0x387564e2, 0x25a2fdda, 0x85669cda,
+    0x1e8e1f06, 0xada590c3, 0x7726ba71, 0x1c3c1751, 0x061412f3, 0xbf10b38a, 0x69e89b59, 0x5bf63bb0,
+    0x7410bbe5, 0x8c6aa334, 0xbb7a6b01, 0xc3031b52, 0x6d82bf83, 0x278569c0, 0x54c911d6, 0x746ca009,
+    0x7c8016b3, 0x51a2aad4, 0x791f810d, 0xa7b7feaf, 0xe21e1bc8, 0x81c1d6fb, 0x50b129a6, 0x5c5c0435,
+    0x90e849cf, 0x29cf210c, 0x2b9a9284, 0xd1c38e8e, 0x5820ad35, 0xd72ce4f5, 0x52a98383, 0xcc9b848f,
+    0x8f0cc1f2, 0x7ea39f98, 0x09c4d05e, 0x4e7c4eb3, 0x95a09e8a, 0x9b6768b9, 0xa64773b8, 0x46cdbbcd,
+    0x23a08b46, 0xd42726bd, 0x58489472, 0x6046f6e0, 0x4861da78, 0xc4cce911, 0xeddb8dce, 0x15a6da59,
+    0x23619890, 0x9546f979, 0xd5eaeab2, 0x342bd03f, 0xc65fbdbc, 0x7d68d7fe, 0x62a69d61, 0x39214bb1,
+    0xe57a5af6, 0x1ed86814, 0x5f8eb732, 0x97b53150, 0x70acd4cb, 0x39366637, 0x743b112f, 0x037714e9,
+    0x927b79cd, 0xe5452d5c, 0x54ad0af8, 0x0cfc28e7, 0xb0f1c32b, 0xaa741a04, 0xae746aba, 0x908ae567,
+    0x2f65b1cd, 0x5fc7c630, 0x1a455977, 0x2ad8c79b, 0xb857047a, 0x64b994c9, 0x59311b6e, 0x959d52fe,
+    0xe7785c8d, 0xd1ee16c0, 0xf0a33731, 0xf9f85dea, 0x89c0ea99, 0xa616cb6b, 0x8121f8c7, 0xe219fd80,
+    0x27eae796, 0x6fb39412, 0xcfbe95da, 0x0825f94f, 0x2452eb88, 0x9a160000, 0x58a67ef5, 0x009215cb,
+    0xdc69962b, 0xaed7be6a, 0xf8c8fb29, 0x7b8f4884, 0x9547c491, 0x4820a44e, 0x97d84182, 0x05aa1320,
+    0xd76f2c03, 0x5829c521, 0xef414f73, 0x01fc2466, 0xf45f30f1, 0x9ae64a7e, 0x3b00e315, 0x27d73965,
+    0xeda463ce, 0x6b2ed7dd, 0xb9983cd7, 0x9657740a, 0x549dede2, 0x9bde417b, 0xe0a66ff0, 0x35284b4f,
+    0x1c2671c7, 0xc7d4903c, 0xef2130fa, 0xc831fbcf, 0x8572f608, 0x112d6cdc, 0x5394a66d, 0x57046cec,
+    0x76c530cb, 0xeed1258e, 0x1436cc39, 0x300b6ecb, 0x8ef95373, 0x3590cd1d, 0x1f0c16a2, 0x8596edba,
+    0xf027c768, 0x460daf02, 0x64fa9825, 0x71da5001, 0x3b9be69f, 0xe842f9e7, 0xa071d533, 0xec3dbd2c,
+    0x209af08b, 0x705abe0c, 0xd0a0ecf3, 0x7894e89b, 0x6b41af9e, 0xdab7df13, 0x9b958262, 0x0e65f215,
+    0x51945448, 0x61b6efe1, 0x44f8edca, 0x31bcaa55, 0xdfeb2001, 0x93d7f678, 0xe24100c0, 0xb8c4439a,
+    0xd5802a8f, 0xe1a74105, 0x53868c81, 0x1414e6a2, 0xde71ff9a, 0x946a3b1c, 0x9d96fcc6, 0xf0683ffc,
+    0xe6ba9bd9, 0xb8240141, 0x820411e1, 0x85f510ca, 0x51b01ecd, 0x05f6fc88, 0xcbd1cc82, 0x2b8e4895,
+    0x238b96da, 0x7ea1d679, 0x784a8d30, 0x630bc85f, 0x4de43c2c, 0xec1609ad, 0x6b831745, 0x801c126c,
+    0x7e86bc1b, 0x05f95096, 0x1a6657b0, 0xafb4d413, 0x9e2bf91e, 0xe097348b, 0x3edcaeac, 0xfbf3e932,
+    0x41a772d6, 0x3e830493, 0xb5dde1b1, 0x328f5c6c, 0x03fcff94, 0xa6054503, 0x56162d86, 0xe95fff21,
+    0x242eb49a, 0x7f77f168, 0xded51b0a, 0x89cbcf9b, 0xfe2dfcf6, 0x13eda077, 0xbe2be5cf, 0xe6dfa2c5,
+    0xb21edd96, 0x577fb3f6, 0x8c87e17b, 0x322905b6, 0xa1e4aebc, 0x10b04d7c, 0x3d4b0440, 0xb921209a,
+    0x1d139f68, 0x16baf34d, 0xf45c5cf0, 0xb644bcc8, 0xa901bf9c, 0x3f329169, 0xe6419f29, 0xf6e5ed9c,
+    0xef05f522, 0xf7db54ea, 0xd885509c, 0x643f1b3b, 0xe6809c3d, 0xf93dbaf0, 0x23dae9fb, 0x3d834107,
+    0xc4b08fb4, 0x9e7c985b, 0x29cd2b2a, 0xd8b618d1, 0xcc186c02, 0x1d81715b, 0x5302ab85, 0x73c56958,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000033554432 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfcad961d,
+    0x00000000,
+    0xe148e940, 0x3af21be6, 0x65d30b48, 0x2a519e33, 0x6af9b938, 0xd7657503, 0xb56952aa, 0x2eabca3d,
+    0xdf524c73, 0xfba6c61f, 0x3fadf2ec, 0x1033edb3, 0xa3d8719a, 0x90c8a1c0, 0x0f454f47, 0xd6872623,
+    0x0fcff2f5, 0x545df32b, 0xd2d54316, 0x07aaea0d, 0x08286b8e, 0x32cdebed, 0x9470fab3, 0xf4d2b854,
+    0xa5522593, 0xec526a9e, 0x9fa3d90d, 0xb39fc6ce, 0xcd5c3b6e, 0xb7b3b9f2, 0xdfe4a014, 0x84ba7fc5,
+    0x97105b32, 0x3412dab5, 0x3d11175b, 0xb11358d1, 0xe28150f5, 0xdda95fe5, 0xec13d05b, 0x26a9f3df,
+    0xd57e366d, 0xa4269028, 0xc4f0f3b3, 0x8fd34181, 0xea20bf2b, 0x6d07b4b7, 0xf7fdefed, 0x9946cf5c,
+    0xeefe98c0, 0x9bb5bd7c, 0x171812cd, 0xd53a960f, 0x108a8335, 0x25e3456d, 0xf7393f9a, 0x059ee349,
+    0x20be82ce, 0xbaad0809, 0x48c0ccb8, 0x5f90474d, 0x51edcbaf, 0xa5c6b11d, 0x1892fa10, 0xc76895f7,
+    0x79564f59, 0xdf6ff6b8, 0xc1aaf0a1, 0x6961a6d0, 0xfab0e291, 0x0adf908e, 0x189ab4a2, 0x6251af23,
+    0xb238d14d, 0x22a38930, 0xc2b9e335, 0x957d6b02, 0x29b6c5a2, 0x687a1922, 0xf66dca67, 0x7d3aea32,
+    0xb9370d29, 0xcd3aecbd, 0x3aa09757, 0x727b7530, 0x5b4c109c, 0xa624517a, 0xc9daa913, 0x92bfca48,
+    0x3a196a22, 0xb5d063f7, 0x8f2187d0, 0x3a725043, 0x7fb0ffd9, 0x2879097a, 0xc924462e, 0xd4d31051,
+    0x9939c7d4, 0x613d9f99, 0x9a566d2f, 0x5d48e42f, 0x62e15948, 0xc470d1e6, 0xd871c715, 0x68b2816b,
+    0xa3598bf2, 0x7898f06a, 0xa061989f, 0x5f006e1c, 0xa76938da, 0x9c4fcd11, 0x76960aae, 0x81312eab,
+    0xb0608b67, 0xe67bab5d, 0xe151260a, 0x7952e04a, 0xbc7d79bf, 0x981e45cb, 0x2dde63d6, 0xe1c5e7d6,
+    0xbb458821, 0x928ec4d4, 0xde8799b2, 0x6583403e, 0x3fefcca4, 0xa249128c, 0x3b3d65d0, 0x36ea6b6c,
+    0x2aed4d7f, 0xd6b57c5a, 0x972c435f, 0x84500528, 0x9e0629a5, 0x57312762, 0x5904c2a3, 0x05b34ec4,
+    0x3255002c, 0x51e2bef9, 0x3e8d396e, 0xc931e1f4, 0x6dce7864, 0xacc034ae, 0x1b1c7ea4, 0x12ddfa29,
+    0x8b7b19ca, 0x602bf692, 0x1ef6d685, 0x4b40a1de, 0x4a572309, 0x4abc184b, 0x46ce1c44, 0xad7cc944,
+    0x34bcefd6, 0x0a252cba, 0x4c305ea8, 0xc3ecce45, 0xef8f8bd4, 0x5e58a0fa, 0x497701fd, 0x09df5a60,
+    0xb083f1c8, 0x79e1575c, 0xebfecb02, 0x2f5e53d5, 0x64f48e2f, 0x4df15616, 0x17f13472, 0x301ba256,
+    0xe4b7edfe, 0x35c4c19f, 0x30535a62, 0x8c183379, 0xcc50ba33, 0x0f8e6481, 0x5d77b205, 0x3c058647,
+    0x4d4f30bd, 0x8a482dd0, 0xaec288dd, 0x0e08d968, 0x14956ac4, 0x90d5f1c2, 0x875d051d, 0xe16b701a,
+    0x535e2207, 0x3ce13326, 0xa26f7c26, 0x329c3957, 0x4521b2e7, 0x69b977e2, 0xb45fd867, 0x1f578b0e,
+    0x446730a0, 0xc9519595, 0x1fe6688d, 0x8edfef9c, 0xefac69d3, 0x7684b1f0, 0xaacfc987, 0x157a976c,
+    0xb5088d9f, 0x7e8553f4, 0x19d6da78, 0xc49b062f, 0x6e52dde6, 0xe2fdb921, 0x82db0dce, 0x8011053c,
+    0x45701d5e, 0x335c1e03, 0xfc3c904e, 0x37bb6e97, 0xbd8d5871, 0xf2345696, 0x00589af7, 0x90aa724c,
+    0x5c879550, 0x82cd7100, 0x0585cc14, 0x5e403986, 0xc95819be, 0x7b5af7b9, 0x6e89dd66, 0x191828b1,
+    0x93347364, 0xf407f572, 0x3ced00b3, 0x8433f71d, 0xd9d5a901, 0x445010cb, 0xd6d5729f, 0x4749f5a0,
+    0xb515808e, 0xe7d4f999, 0xca7d5dec, 0x46fa80f6, 0x891f0aa4, 0x15f6888c, 0x70abc54e, 0x1061bd9f,
+    0xb7546d46, 0x7ad91f4a, 0xdfca3f73, 0x92f71d58, 0x3580fe03, 0x6e892bbe, 0x7213abcc, 0x0715701a,
+    0x1f1f2e39, 0xeda812e6, 0x3725091c, 0x7c124b6c, 0x8b1e6251, 0x1963e592, 0x8c43a84f, 0xd7bd2994,
+    0x1963c96b, 0xddc032cc, 0x9d016c2f, 0x7efee00e, 0x9d2ee35b, 0x1ec4582c, 0x68878e7d, 0xd6ebd640,
+    0x3e4eea16, 0x0243e415, 0xfc0fab95, 0xd68fea0e, 0xd9d90814, 0xf650e06d, 0xba4fed4b, 0x7a013b09,
+    0x2ad513aa, 0xd2d5de8c, 0xa12aebc9, 0x564c401d, 0xbe163a13, 0x584ae209, 0x6e49e2e8, 0xdca2d524,
+    0xcc322ac2, 0x7ceaa8b9, 0x6448dbe3, 0x20895285, 0x2b75134c, 0xc314aced, 0x77ac48a6, 0xa1c93841,
+    0xced11336, 0x88bd4d1c, 0xff27093e, 0x3167ea42, 0x46ab6dae, 0xe9c8d2a7, 0xb425ffb4, 0x7a23a534,
+    0x5747dcce, 0xe465d04a, 0xb5b11f15, 0xde12f0fb, 0x257dd434, 0x9fe7d8fa, 0x723669fe, 0x0cd3c179,
+    0xb697239f, 0x3a666013, 0x74bd89ef, 0x58a74933, 0x84ab179d, 0xbf002b75, 0x25382fe9, 0x9c7afed8,
+    0xf425a694, 0x33d55012, 0xd04ffdee, 0xc23eecf2, 0x2477b217, 0x5f0e7f0d, 0xeade9cb5, 0x66c0c682,
+    0x1a9beec8, 0x9b479e0f, 0x0081f8d8, 0xcd392a43, 0xdb1edce4, 0x6a143420, 0x967e6619, 0xf40d4f1f,
+    0xbf591de5, 0xedf41054, 0xc05884fc, 0x66fe090c, 0x2e7445c5, 0xbfd62715, 0x03514499, 0xdfa0ab71,
+    0x04439f46, 0xc5e6e5f1, 0x3f59f1f8, 0x11074c37, 0x088ca282, 0x02aff739, 0x25743b10, 0xce847a74,
+    0x5250d32e, 0x30b7e102, 0x7696727b, 0xcf264a20, 0x397ad855, 0x2b3e5d3e, 0x3d19515e, 0x65ee3c08,
+    0xd7ff4693, 0x3b1e93df, 0xd9296891, 0xbb512614, 0xb26a26be, 0x2c74aa1c, 0xc8eedd09, 0x04945aed,
+    0x0822d715, 0x2865664d, 0xee2ef09d, 0xfc52f55b, 0x8c3ff39d, 0x70677e7c, 0x11339a40, 0xfbfb50f9,
+    0xbb89a948, 0x07491b4c, 0x5593733d, 0xe98fcc44, 0x5df34641, 0x92d0354d, 0x0ef7339b, 0x3ea66406,
+    0x700c6655, 0xab3302fb, 0xfdf11211, 0xd229e66e, 0x36a8d2fb, 0xd4694e27, 0x2ae0784c, 0xcbf12004,
+    0x0b07a95c, 0x50ab1c22, 0xe80715be, 0x62f1c023, 0xe964266f, 0x43fe5bef, 0x17b239ab, 0x96d3c6b5,
+    0x5e7a5e29, 0xe592e9cd, 0xc038ab22, 0xf2a34e1f, 0x403ee4fd, 0x5e886368, 0x9d2145c1, 0x5362e1fc,
+    0x8e8bf15b, 0x96d8eac1, 0x9c006a95, 0xc2764804, 0xa77b1cc9, 0xc2b4d2ac, 0xd24ee527, 0x0e1960fb,
+    0x875b87cd, 0x881ce6a4, 0x762f2e41, 0x7a03a897, 0x0857f492, 0x278ddd30, 0x48426598, 0xcb96c8db,
+    0x8de2c8f9, 0xd53ce065, 0x2bc1aeab, 0x30fe1a63, 0x2668cb91, 0x2675b259, 0x948df6f8, 0xe1d62913,
+    0xfbc71640, 0xc4bb156d, 0x8a24abc9, 0x60c8c3cd, 0x8d539a21, 0x428d74b8, 0xc0719862, 0x061f7237,
+    0x95145b0e, 0x4f606a11, 0xeed04269, 0xd789d14c, 0xe8ff6b7e, 0x2401da43, 0xa6c7b2c8, 0xf7a2d439,
+    0x41f4da36, 0xf63c81b4, 0xffc5039c, 0x3b0ce02f, 0x11122a03, 0xb79a4880, 0x97dca13d, 0x6b28507c,
+    0x71d47ac8, 0x0d183c03, 0x5a90690c, 0x90bb543b, 0x8be6044e, 0x0b828e46, 0xee9b727d, 0x1d4d3a8d,
+    0xe417a3ed, 0x96598720, 0xba1c6b88, 0xc1a2b01f, 0xc28b577b, 0xec3d14b1, 0xc0fa3016, 0x525f7669,
+    0x74b1dabd, 0x27bc65e7, 0xfabf43df, 0x1ed5ff0e, 0x81f9356e, 0x570f4de1, 0xd3108439, 0x9532cbd1,
+    0xb35de0db, 0x44bb5c61, 0x23b3e452, 0xdceca60f, 0x7f3a1dc1, 0xd385bcf4, 0x48df2024, 0x34ff9392,
+    0xdd8851f9, 0x278f4031, 0x29a6510c, 0x1bd3d2ad, 0x8e06d976, 0x76d9c29d, 0xeb9df5d2, 0x2cd56770,
+    0x74393cf6, 0xddb8aed1, 0x71b54855, 0xc44322e8, 0x68d77d99, 0xa067ac72, 0xf5679550, 0x415f0e38,
+    0x7b46c1f8, 0xff19fe56, 0x5974045c, 0x02698806, 0xf93d76fd, 0x7cf4cf4f, 0xd14668c8, 0x81fd6402,
+    0x20222c15, 0x05b0778f, 0x5308f128, 0x23faba69, 0x10d2f360, 0x2b01a744, 0x4510f424, 0x241f99a5,
+    0x480c183d, 0x4fef8251, 0xaa586724, 0xe948af1d, 0x8c48495a, 0x7c35bcd2, 0x6f6148ba, 0x285fe9ef,
+    0x75baf551, 0x7cfcdeb4, 0x3e2641cb, 0x0715587a, 0x4bb8daf3, 0x8833d096, 0xcc31057d, 0x81f7d15b,
+    0x493ebd42, 0xb1fb9aec, 0x36e54751, 0xad7d3f04, 0x6e201ad4, 0xdfb6712b, 0x4af11131, 0xbb675100,
+    0x8a287009, 0xf96c7fe9, 0x096f5239, 0xe7e3731d, 0x3090e77a, 0x7e8be02f, 0x8f90a5a4, 0xbbf0e3ec,
+    0x95ee9a96, 0xf0e472f8, 0x1a8e56b0, 0xc78ba239, 0x3768d88b, 0x9b8377d8, 0x74b11784, 0x0e426770,
+    0x175c6aff, 0x5bfc1810, 0xab478608, 0xa5de7fc7, 0x556258f5, 0xdd088062, 0xdb31d5b4, 0x1972c831,
+    0xa685d800, 0x2f797d0b, 0x325d2568, 0x71d4a4e4, 0x8042929e, 0x3d63a370, 0x62e753c8, 0xf436ee74,
+    0xc72abd15, 0x03cae080, 0xf8b7471a, 0xdef26713, 0x6d19aeba, 0x488546be, 0x4d44008e, 0x98cb24aa,
+    0xf8002f8b, 0x1920b4d2, 0x794f7e3d, 0xeb104310, 0x8b7cc8cd, 0x0f543dbd, 0x99a2602c, 0x69717c89,
+    0xf5e35e7f, 0xeb7b5698, 0x38713219, 0x5be8bf37, 0x3bffe569, 0x3b5b0d25, 0x3a158aed, 0xf03941d7,
+    0xa3ac4252, 0x55df92c9, 0xbf5e14fc, 0xf668942a, 0x0a121e56, 0x5eb94cc2, 0xf69ac3d5, 0xddf14a4a,
+    0x00f2f86b, 0xdbdca738, 0x8c7b1bac, 0x34c9b834, 0x4fa7e08e, 0x8f949020, 0x0e1993b7, 0x5a5e6772,
+    0x582275f1, 0xf77949a2, 0x1392a6e4, 0x0420e3c8, 0x0400830f, 0xa301e90b, 0xbc890b55, 0x471aaf41,
+    0x2a4ef2d9, 0x755153e7, 0x03cce8e6, 0x6db24a9f, 0x9714af28, 0xe01cfe9f, 0x7c9da74e, 0x26a7bdc7,
+    0xcc30e201, 0x1930a67c, 0x116bf2e1, 0x6c97fd7e, 0x903c7109, 0x02b439d0, 0xc0e216e1, 0x2ffb47d1,
+    0x5632ec6a, 0xdcac2aac, 0x30894572, 0x2786abe4, 0x7404ae51, 0xd640ef80, 0xcba86e06, 0xeba1b978,
+    0xc29813b2, 0x9c6a113f, 0x77bfa4fc, 0xabfd1e06, 0x7147b90d, 0x86073038, 0xbc610794, 0xc353942e,
+    0x98f33c78, 0xc7515c79, 0x3863c2ab, 0xe980bd70, 0x6a3aaf86, 0xcd16a22c, 0x271ec978, 0xb09991df,
+    0xc18678b5, 0xb2701169, 0x570d6279, 0x347ac805, 0x83e07f20, 0x51a40cb3, 0x53811349, 0xebf20b1f,
+    0xa69c67dc, 0x6fbbbeb8, 0x2f30a04c, 0x1ac436c5, 0xa0716e8b, 0xb28b0e94, 0x2f848856, 0x09acb70c,
+    0x9feaac54, 0x2e5d9b92, 0x11b70116, 0x80435d7a, 0x09307145, 0x76691c88, 0xba0e7dd5, 0x650cabc2,
+    0xf8549643, 0x6fcef339, 0xbd7ed9ab, 0x7ec3f374, 0xc66593cb, 0x08e825bf, 0x4756f1a7, 0xed71508b,
+    0x1aa57618, 0x1efb1ff0, 0x6e05c5f8, 0x00d98567, 0x0b09a16e, 0x4e08ad50, 0xa908d9d3, 0x22caa629,
+    0x56bf75e8, 0x2f2d1c49, 0x95014842, 0x667f6fd2, 0x48d8a6a7, 0x4ede9478, 0x4bc9c86d, 0x2b000889,
+    0xbb3f9e89, 0xa5fc2bab, 0x992e2cf0, 0xd018044c, 0x8fa26460, 0x8d0683bf, 0x3094ce99, 0xfaa47d0d,
+    0x26a7188b, 0x25f527f0, 0xdcf06065, 0xcf533a15, 0x9d4f983a, 0xf8e0e346, 0x97ef1504, 0xcd396ccb,
+    0x7e4528c3, 0xd41e3d3a, 0x60e4da56, 0xaeae5237, 0x62e98136, 0x8f96f708, 0xe8aad006, 0x99314a82,
+    0x19afc76f, 0xcfca8297, 0x076d157e, 0x72ae2034, 0xc0d05da9, 0xed5fb67b, 0xbde13b7b, 0x8f91542c,
+    0x25c978ad, 0x3129e75d, 0xe0f270bd, 0xd7a75f84, 0x023500f1, 0x77352b12, 0x313a2db9, 0x402b8e27,
+    0xb342797f, 0xe4a17735, 0x26df876a, 0x15bdc1b7, 0x57253ac0, 0x9a692060, 0x8729f94f, 0xd5d6d92b,
+    0x36a3c982, 0x20c5c707, 0xbb966116, 0x363ee12f, 0xaeb2e75a, 0xc57c966c, 0x86bf2bd7, 0x59b4f74e,
+    0x07aed3d7, 0x28e535e3, 0xd0123151, 0xca7427c3, 0x689667c4, 0x829234e1, 0xb7d27ccf, 0xdb71bfcb,
+    0xf869fe47, 0xbb5e4a18, 0x80a4acda, 0x9d4ad489, 0x13c32b8b, 0xa7a99430, 0xa6d3980d, 0xeb7cf9f8,
+    0xb6f82e79, 0x66cf26ae, 0x19fa487e, 0x2670c9c2, 0x618ea654, 0x023ae490, 0xaff010c8, 0x65f642fc,
+    0xca8e3cbd, 0xd08372ee, 0x57ffd74f, 0x56418e9c, 0x7e901c30, 0xee80ca74, 0x14556d39, 0x20d5889f,
+    0xa4c25cfc, 0xa37cd223, 0xaa41e8e0, 0xa42b31f3, 0x4266d8d7, 0xce5f14c0, 0x0d7ac522, 0x1c9d40af,
+    0x3ddf7b1e, 0x9dd78f7f, 0x2de01ced, 0xae8a1266, 0x10704957, 0x966441bf, 0x2ab92331, 0x061fa984,
+    0x2fd926c0, 0xf65cefdd, 0x2fc6da3b, 0xa6c829e5, 0x229dd9d0, 0xc02b6a6b, 0x796960cf, 0xc3cf98ad,
+    0x9340b464, 0x30faed85, 0x94486055, 0x340a0c27, 0x3ac5df36, 0x4e2081ee, 0x7b4492da, 0x587599c4,
+    0xeed7d9da, 0xb7034495, 0x9a1e6d72, 0xd2cda111, 0xef9ee1de, 0x5b68e7e3, 0x7757ff0c, 0xff7ce616,
+    0x52bd6e5f, 0xc672dd33, 0x1cf6d655, 0xaf9c9602, 0xef2ca19c, 0x9a39b64a, 0x89a65c9e, 0xb64df7eb,
+    0x44475e56, 0x3f3790e2, 0xd79e4aac, 0x9abfb52e, 0x0c20b62c, 0xd461dd40, 0x9b68111f, 0xc631fbb6,
+    0x1a7f0604, 0x51fa62e4, 0xad046ffb, 0x0d20202a, 0x1ea62873, 0x4e07ac6d, 0xc804d870, 0x8d57804d,
+    0xfcc3a947, 0xddbb6ca3, 0x06095fcd, 0x4db38bf8, 0x67277613, 0x3d2be143, 0x5a7f3a75, 0xbcbfe1a6,
+    0xcddf8bf1, 0x40ad6941, 0xa00e5e3b, 0x74369962, 0x7950ae35, 0x62c4174d, 0x64092813, 0xac0b591f,
+    0xc73982a8, 0xfbc91828, 0x6d8b6867, 0x4825b3db, 0x40604960, 0xfcb1dea1, 0x8169bfdc, 0x217e1498,
+    0xf85d8554, 0x11107328, 0x31b4e774, 0x0f150f4a, 0x3a361636, 0x914da6e0, 0x5d22173d, 0x6f9481f9,
+    0x7358bf5c, 0x09ff9f10, 0x875535b5, 0x3b11d4b9, 0xec272a0f, 0x40a3a699, 0x45a5a09b, 0xe020f490,
+    0x4c7278c4, 0xfd729d59, 0xf6418a4d, 0x0263bec0, 0x76e444d5, 0x97c255df, 0x01169f74, 0x222903b2,
+    0x193acc59, 0x8a6fef7b, 0x524b0bf1, 0x6d75eb9e, 0x736b4e6b, 0xa3a4fc1c, 0x6ff690d3, 0xdf7d0af9,
+    0x4ca374a9, 0xfaeaae42, 0xc3aa1d47, 0x28f3c9c4, 0x97c32b1c, 0x9fd8519c, 0x3a099387, 0xa53eda18,
+    0xc44dceef, 0xa1a06568, 0x0fda2853, 0x63962414, 0x08c42a0c, 0x31a1dece, 0xd2d403ae, 0x2eae6ec3,
+    0x464c6ff7, 0x290d7a8c, 0xe736cfdc, 0x7044928b, 0x411f09e6, 0xeb486636, 0x7133024d, 0x227fd21e,
+    0xf5517547, 0x9eca6e9a, 0x0beaf5bf, 0xaf7f8a7a, 0xcc10ccb6, 0x91e7a177, 0xa5727652, 0x834d1445,
+    0x6cdeda19, 0x648efcbe, 0x71df4ef3, 0x5cbdba5d, 0x2a16b5db, 0x3aa6875b, 0x2c786a8d, 0x826930a5,
+    0x3cdfd100, 0x93717e03, 0xfea930a2, 0xb997cf57, 0xb82c4f1a, 0x891817bb, 0x2c42d5ed, 0x464e6d53,
+    0x2105c4af, 0x9178f2c7, 0x39019e3b, 0x9b4944b0, 0xd5f0a4e6, 0x3da7d80c, 0xce7c9c29, 0x5359e4bc,
+    0xf33db166, 0x88c7b6d1, 0xdc55c651, 0x7baff271, 0x5880c6b7, 0x06fea45c, 0xcab82237, 0x1fa91f16,
+    0x92cf8398, 0xbced6df8, 0x6ad8f535, 0x566bf5cf, 0x6a7bde85, 0x9a980fa5, 0x9b643237, 0x66cf2b0e,
+    0xc88fabc5, 0x63c9a3f4, 0xde05ff88, 0x870e0297, 0x18c9ac49, 0xf8afa4ef, 0x20a9a9e3, 0x90166f27,
+    0xf9f93c40, 0x9695b754, 0x0d59ca09, 0x2eccfe27, 0xe44bfdfa, 0x985bb874, 0x5bcdacc5, 0xf103b5ae,
+    0xb55ddddd, 0x4cffcca0, 0x5e257223, 0xa0004451, 0x21f0bc37, 0xffb90187, 0x4ea3ed48, 0x3e4722b2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000016777216 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfe56cb0e,
+    0x00000000,
+    0xa9d020e2, 0x34c36502, 0x47434a70, 0x7b36c936, 0x9c87cd6a, 0x054df827, 0xfdd93864, 0xed0ff5cd,
+    0x031d84ab, 0xe93601e0, 0x65a9adc4, 0xb5997bc7, 0x2883cc92, 0xbd99caa6, 0xde59e247, 0x3c6bafb8,
+    0x34ff8aae, 0x8356271e, 0x1bc85226, 0xfc602726, 0x8b41b4d3, 0x5578f8bf, 0x57e42c71, 0xaec4c8c4,
+    0x7539cc68, 0x83396978, 0x8876cc8c, 0x3f63e1f3, 0xdfffe46b, 0x8fa094f9, 0xb40c04d4, 0x9302c88b,
+    0x27bed9e9, 0x6079c0de, 0x39a7ba77, 0x271dc2d7, 0x17aa5788, 0x016f3953, 0x7014eee0, 0x28fdd36f,
+    0xdb465182, 0x67f0dc1c, 0x114bca85, 0xfb348eac, 0x7fd99329, 0x77851430, 0x04acd149, 0xa9ade625,
+    0xc8673fa8, 0x4a350ff9, 0xeece3c4d, 0x8c65f892, 0x1217c597, 0x35ddfd72, 0x6289ea51, 0x37e3acc2,
+    0xc23a9acf, 0x20f19f11, 0x180aedf0, 0xdaf946dd, 0x6618b10c, 0xc447a0bf, 0x79f7abe1, 0x809fed2b,
+    0x9d0807f6, 0x0b9c1e47, 0x9312d66a, 0xbe8e3868, 0x899767dc, 0xe9d1e536, 0x673f546e, 0xf7ac3262,
+    0x62be7386, 0x7ef5415c, 0x6f748f97, 0x645df3c8, 0xecf241c5, 0x923ea48f, 0xdc8befe5, 0x3f1f5cd2,
+    0x7532506b, 0x460ca974, 0x91ba019c, 0xef84d4cf, 0x7327c5bb, 0x8f044ab6, 0xa40a88bd, 0x48d5d799,
+    0x991aa72b, 0x6c03858d, 0x176b329d, 0x652b3016, 0x1cf73925, 0xbc2c8b94, 0x023ad9a6, 0x9a257644,
+    0xfc9677ec, 0xc9d6b19c, 0x795f4da5, 0x5760b9cf, 0x93aab01e, 0xa722dd17, 0xcf2c8d5a, 0x1e09718c,
+    0x8e2b45a8, 0xcee2cee4, 0x4da1fbdc, 0xba4488d7, 0x5a009a7f, 0xb60910b3, 0xa829fbbf, 0x38c5fa96,
+    0x8e90e003, 0xffb17a7c, 0x402b98e8, 0xc0a6f20c, 0x6a648a5e, 0xad2d78ee, 0x073785f8, 0x7d03e396,
+    0x468d1cc6, 0x29483a53, 0x2c4d9cbe, 0xc40e2640, 0x09d6b3fe, 0x46073035, 0x845ef2e7, 0xfe9f1307,
+    0xa42d4aea, 0x6b24d540, 0x04c542a9, 0xcb67104f, 0x963bbc8e, 0x29a0103d, 0x65fc1994, 0xd8dc082f,
+    0x2afb55fc, 0xaedbbebc, 0x2bd82c8d, 0x0efac300, 0x76ad10a5, 0xb1ac3937, 0x223859df, 0xe455d1f5,
+    0xbca01ce1, 0xd4f63857, 0x840854ba, 0xc4062332, 0xcc4e13f8, 0x1c475048, 0x53fedaf4, 0x2055216c,
+    0x3fab28ce, 0xf01e8026, 0x85a798ed, 0x345d5a5e, 0xd3681978, 0xf4b7a2a2, 0xee0eaf3c, 0x61ce7bc6,
+    0xdcaded93, 0x1c3dfd4b, 0xa37faf74, 0x464531fe, 0xfb631c1f, 0x9fec5bf5, 0xcdb363b3, 0x40e9a436,
+    0x1821bfc2, 0x85f49888, 0xeb8f7668, 0x8370f1b2, 0x0bdea18d, 0xac780f8a, 0x856d7642, 0x71de6e79,
+    0xbf1c7707, 0xcea91056, 0x9d639fd7, 0x0d3dc39d, 0xb1e52b1c, 0x2484e830, 0xf25eceaa, 0xf8c2f068,
+    0x0da6a541, 0x5f81b1fc, 0xcb256b8b, 0xeec65745, 0xf6a148a2, 0xc6fb2207, 0x29472b0b, 0xaec0d6e5,
+    0x66fded27, 0xe7127712, 0xbb98c029, 0x6b01c116, 0xaceffe29, 0x6fe2794c, 0x99c16aa4, 0x99777a40,
+    0xd3d9bbec, 0x314c68b9, 0x225a9bfc, 0x83e87db2, 0xc5fe19c5, 0x5abe3c5e, 0xfbf60272, 0xc33f5719,
+    0xa7b38f40, 0xeb5d8f80, 0x66054a9e, 0x6520b85f, 0x89542fc3, 0xb29805f2, 0xf24474b4, 0x23ef8ca2,
+    0x5e2eaa4c, 0xb4ba866a, 0x68125d65, 0x3af6580b, 0x56e7a94e, 0x15adcba7, 0x1f58fd33, 0xb345205a,
+    0x50ccd779, 0xa9ef823c, 0xb6a53328, 0x172a80d9, 0x3ff3da1b, 0xcba7e46e, 0xf7a5a57a, 0x0fcc3825,
+    0x4d75eb4a, 0x920bcff9, 0x32e71d35, 0xafdf242e, 0xa7c947ca, 0x8fc687db, 0x4c45acaf, 0xf39c5a66,
+    0x15e22f96, 0x6990908a, 0x767142ae, 0x4578ea1b, 0x23a7ae03, 0x3b80b76a, 0x9ff26bf4, 0xae504b84,
+    0x021cf09d, 0xb9165c40, 0xc073049c, 0xa2b459f4, 0x62238253, 0x54f3d7e9, 0x919c7439, 0x481c5b3e,
+    0xc098dbf7, 0x63d23e8b, 0x4964ef33, 0x4875f0b9, 0x8e473ba5, 0x18d14aab, 0x9e6d333c, 0x3df8fb2a,
+    0xb88cdcb9, 0x63da0672, 0x89c9595e, 0xba480a96, 0xa33dc4b8, 0x8eacff1c, 0xc9890074, 0x62bf0e1c,
+    0x9d463de2, 0x3d1487c1, 0x6324c95d, 0x2f9ea28b, 0x0544de2e, 0xd52738d3, 0xfb6fefa1, 0x5fadeba0,
+    0xc365a45b, 0x98e0c2fc, 0x15d0c4f9, 0xafa1c9db, 0x93328363, 0x8d4f2c5a, 0x75a46aa7, 0xecf1a54c,
+    0xcd2aec5f, 0x90e0152b, 0x320b978e, 0xf873efc3, 0xf0ee5279, 0xdbff63c8, 0x3b7a979e, 0x55bc448d,
+    0xe3465e20, 0xaa56a9d1, 0x2763112a, 0xb3b03d84, 0x9b30b513, 0xb8932b17, 0x27761af1, 0x71f968c5,
+    0x401f9719, 0xc8312fa9, 0xd2170f4f, 0xed9276c9, 0x2dfee2bc, 0x8aefd3b6, 0x99d4511d, 0xf40421c4,
+    0x578f7e23, 0xb11d72c3, 0x894b08ca, 0x2e4251bc, 0xaf379ccf, 0x133a8093, 0x32467df7, 0x9c73e232,
+    0x0fec7c8b, 0xa605828d, 0x805fd780, 0x85f4329e, 0x91742792, 0x3b259133, 0x15a066f4, 0x34bfcfcb,
+    0x7c74a308, 0x1791be46, 0xf2ac9d82, 0x3a604f4a, 0x40ca9d93, 0x431c1505, 0xa60dca62, 0xcd5fbfdb,
+    0xffb8609b, 0x7327c23c, 0x8e4366c5, 0x8a8dadae, 0x07646221, 0x7f0a1622, 0x5da2e795, 0x808de84d,
+    0x6c63c6af, 0xdb8b8649, 0x175ee9da, 0xcf1a9fc3, 0x15556879, 0x34fd24cd, 0x70b15aba, 0xc5823553,
+    0xeb695360, 0x5fce30b2, 0x6030a3ba, 0x80e0a823, 0x0aced2ca, 0x94bfd078, 0x8eca5987, 0x6177744b,
+    0xd8e436ad, 0xd0470ac5, 0x27ce1414, 0xda771b6e, 0xc70c61d1, 0xc74b8230, 0xf1e2544a, 0x52b933cf,
+    0x2a042b93, 0x71806821, 0xbd2c9fa9, 0xc7a8108f, 0xfdda9abb, 0x51ac0d5e, 0xb6606604, 0x7ce8bd62,
+    0x14154ea1, 0x76169a6f, 0x09a151f0, 0xfabac43b, 0x6ed4027f, 0x6eac2b7c, 0xf0f632fd, 0xdb98b4b2,
+    0x551dcb16, 0xc56bd529, 0x1051b2da, 0x8498b5c3, 0xdfc2f5cb, 0xcc78db24, 0xbe7c588c, 0x4acb5b0b,
+    0xb4d71053, 0x207255c7, 0x3d318873, 0xcbaa2caf, 0x451523c3, 0x7e4fe7c8, 0xb491bddd, 0x61daeb37,
+    0x57f041cb, 0xd6307c40, 0x00d0f31e, 0xaffa955b, 0x55431e3b, 0xe64069a5, 0x494e3f7f, 0x22025caf,
+    0x988dab96, 0x87f3ed87, 0xc74a8752, 0x4746c007, 0x87e32831, 0xb6e47504, 0x5c7a2c5f, 0x105c4e66,
+    0xb23a267d, 0x1a0f00f5, 0xed396333, 0x26f125a6, 0x4d142080, 0xfe04b187, 0xfbdb47ca, 0xfc2a3c37,
+    0x7a3d6585, 0x9fc8d3b8, 0x94634a3d, 0x4d88f9a4, 0xe1b11df0, 0x72e5bc57, 0xf3612dff, 0xe024b58e,
+    0x5678bbc3, 0xb42f3e3d, 0x288750dd, 0x0a89901e, 0xd2d13891, 0x327a5fba, 0xe0126b5a, 0xcccd8030,
+    0xcf34bd39, 0x88ec1520, 0xf2942947, 0xe9aa9015, 0xad6dc44e, 0xe4253755, 0x75167d4f, 0x78d94200,
+    0xb652696f, 0xc6da51a4, 0xe0d1400f, 0xba0ba5b1, 0x76262875, 0xe04a3bc7, 0xb4eaceaf, 0xc3257857,
+    0x7dd004c5, 0x8d20874a, 0x45c77b3f, 0x43b8f754, 0x3bc9f4c5, 0x5678b00b, 0x16d70c61, 0x16e6be98,
+    0x16154103, 0xaafddf7e, 0x88c9192e, 0x51e647e0, 0x48f372c2, 0x436d8adc, 0x126e30a5, 0xc430bf83,
+    0xffa68552, 0xab38001f, 0x252ee9dc, 0xfa1627e5, 0x4c328b5f, 0xaae0651b, 0x074bb438, 0x2b71c375,
+    0x9d9e8956, 0x7c5f1afb, 0x00b31b85, 0xdb525984, 0xf42c578d, 0x8d5b9249, 0x6f805109, 0xd524798c,
+    0xa8cffff6, 0x6e562e30, 0x38a424b4, 0xb2d362eb, 0x85358b65, 0xcb00f21b, 0xcbde3e61, 0x125ff8c7,
+    0xfbb4b2e0, 0x0d12ed17, 0xd90b89d3, 0x1760f438, 0x40addd7f, 0xb7f17eaf, 0xec55ab29, 0xaae7bddf,
+    0x4ff0ae0d, 0x500a71dc, 0x378aeb7e, 0x3d3cf7da, 0x7dfe125e, 0xd06207ca, 0xe3fd78e7, 0xb60d0d2b,
+    0xb0e6e39a, 0xc6d6a6b2, 0xbdde74c2, 0xf5339470, 0x0a4de8ca, 0x4b28031f, 0x4a07d347, 0x6dfb3715,
+    0x08076003, 0x399785e3, 0x2f6cbede, 0x6da7b1ae, 0xd8fa1c87, 0x0c15642b, 0x0efa1a7f, 0xba4d4ee9,
+    0x51f18a76, 0x49fd13fa, 0x7287f478, 0xb2464757, 0x6579b79b, 0x9a489e5e, 0xce81b231, 0x6096a1f9,
+    0x42b127c9, 0x7e537d92, 0x3cf2e7c0, 0xa8a746f3, 0x833e9180, 0xdea155fa, 0xdae268d8, 0x12a355c7,
+    0x63a9b4e3, 0x321114e3, 0x11f16680, 0x6658c867, 0xe9da592a, 0xccdd5c4a, 0x6d86395b, 0xf78570b6,
+    0x2785db6b, 0xf6ddbe2e, 0xfcc1b4cd, 0x33c4e518, 0xdc84c2d1, 0xaffe0273, 0x6e0cce3d, 0xe4b375d8,
+    0x2412d0f5, 0xdf0f79a5, 0x0ea20f6a, 0x8e9064dc, 0x91055be2, 0x288312a8, 0x7b3cdee1, 0xb401d06d,
+    0xb73e5aa4, 0xbde20b9d, 0xc4474848, 0xdffb88c4, 0x30b697b6, 0x16462bd9, 0x46a111dd, 0xeda11e2d,
+    0x4f9ce022, 0x6490323e, 0x004247bb, 0xbade8b11, 0x72a6068c, 0xa0cb22c8, 0x3a0796ac, 0x569ac69f,
+    0x5af34a25, 0xec481101, 0x6741a80e, 0x2ecf40a9, 0x31827695, 0x80031b4e, 0xea97ce91, 0x23d047c2,
+    0xb1b8dc63, 0x627e06a1, 0xcc4f80ee, 0xb0ec18fe, 0xaa6051ea, 0x53269100, 0xcf04d499, 0x1250de90,
+    0xc0e79645, 0xfd07d480, 0xa5e9bcf4, 0x280ed651, 0x60d1889e, 0xb808a60e, 0x0dcdc3d9, 0x3ad1ce6e,
+    0xc34e6bc8, 0x0ccc648a, 0x3d4794d9, 0x039d742c, 0x4998cbc7, 0x57ad5626, 0xccb2c389, 0xbebd9197,
+    0x6acba67d, 0x9166378f, 0x6b75188c, 0x7dc36116, 0x478bc1bd, 0xb1b234fd, 0x92ebb3e5, 0x6ccb4c45,
+    0x808023ac, 0x112e1af8, 0x162c8ef1, 0xb1047ef3, 0xfe01e44c, 0x30512e65, 0x4fd488b7, 0x394dac9a,
+    0x871e4029, 0x36296814, 0x837d218c, 0xd62f17b9, 0xb7a5ca49, 0x86d28dd0, 0x3d23d904, 0x8b06c7fa,
+    0xfd60f880, 0x8fb89766, 0x4aa7586b, 0x0aabfae6, 0x34c6f006, 0x9361d91b, 0x8cc8fc76, 0xeb834e99,
+    0x5131fde8, 0xc0aad7a4, 0x8fe05e56, 0xeab52fe4, 0xa53e60fd, 0x5d272645, 0x6b357c76, 0xe9c0374c,
+    0x4ac65a07, 0x6a4f0f8a, 0x64693eb0, 0xdef42deb, 0xc1e546d8, 0xace379d0, 0xaf8c1946, 0x43df0e86,
+    0xc4c7fd8a, 0x350266ba, 0xf786c1f4, 0x082abf4c, 0x3c00a504, 0xe2379d80, 0x3a72ea49, 0x1d8f098a,
+    0xad19ba34, 0x1977435d, 0x1ef56d35, 0x69680d3e, 0xfe4289a8, 0x42104f89, 0x3e550cac, 0x16783d71,
+    0x41684dd5, 0x33ec229d, 0x3cf57729, 0xfd506691, 0x4339454b, 0xf24436f5, 0xf04c464f, 0x4620eea7,
+    0x16c3f5ab, 0xa7fa44d0, 0xc2fa1996, 0x12fddfff, 0xdcc7cb52, 0xa376af95, 0x99882076, 0x3e7f446b,
+    0x3544a8ff, 0x9d0753ab, 0xd3cb17ed, 0x0387d5f0, 0x49fd6583, 0xcd2c60cd, 0x23836ac3, 0x7b0d1ac5,
+    0x73c9e383, 0x6fd48b03, 0x56440885, 0x938a45bd, 0x27b50aa9, 0x74b18418, 0x5f9784ab, 0x34a89eca,
+    0x203b192b, 0xd0597845, 0x469f6efc, 0x6cacfe80, 0x076fa82f, 0x8fe2d8da, 0x0f2e173a, 0x8db70ddb,
+    0xcadb40d5, 0xc6b806aa, 0x33236379, 0x4f286786, 0x9b28e8d8, 0x0064d56b, 0x0b616c5d, 0x20af6327,
+    0xed512788, 0xa634e310, 0x4ca67742, 0x1bc80392, 0x9e3deefb, 0xa90e8ece, 0x55ba6245, 0x2550ceb5,
+    0x2d317c3a, 0x7f5a8640, 0x1976195e, 0x34e06228, 0x0c086c5a, 0x0c1bd42c, 0xfb6fa072, 0x14a318ea,
+    0x8f5704d5, 0x152dfc4c, 0x8ff9dd94, 0xaf56faaf, 0xe28cb64f, 0x8f79c38e, 0xe3eff571, 0xcf0c4bc1,
+    0x8ff6a4f8, 0xcbaf61d6, 0x2d0a535d, 0xe36f817c, 0xbc3d6d8a, 0xea0e2f5b, 0xaa9f7407, 0xcc255994,
+    0x50fb9b49, 0x2b4da5bc, 0xc8f2fad9, 0xb9ec183e, 0xdd5075d4, 0x9fc960a9, 0x969bfffa, 0x5f8edc62,
+    0xd140650e, 0x566d9a02, 0x3f14ca6f, 0x09e3545b, 0x20bb5650, 0x96f0ac81, 0x23354c39, 0xc7c96931,
+    0x8a9b454b, 0x6d171831, 0xec611ce8, 0xf3b70512, 0xad346568, 0x0c9f4b86, 0x79642eff, 0xe6410fed,
+    0x6f32f060, 0xb97e0450, 0x77566e00, 0x8e2d9b5c, 0x01148e2f, 0xe30af9e2, 0x68f3a455, 0x63e01655,
+    0x581ee399, 0xc961a720, 0x9eb46fb0, 0x1e1cbd7e, 0x658b5b8e, 0x48e07823, 0x2afc1c20, 0x559c39b2,
+    0x4b5b6fb4, 0xd8da1384, 0xc1919672, 0xb021a72c, 0x008bcd40, 0xed4a52aa, 0x5c8639fb, 0xc229d970,
+    0xeb9e37ee, 0x352dc155, 0xbf6271b7, 0x2db7d861, 0x0d864e69, 0x08ef2eb2, 0x9c2ddd5a, 0xb1b4ce62,
+    0xaa1318bc, 0xb15865d4, 0x8f1364c0, 0xb40d46cc, 0x58183ad6, 0xa17f497d, 0x3dfeadb6, 0x6d817199,
+    0x2f33ffd4, 0x45962acf, 0x2ff13491, 0x0a36b68e, 0xd9e381ff, 0x3b05b637, 0xbb37b398, 0x0c9a4b16,
+    0x251101b2, 0x37af196d, 0x33c6ab34, 0x0ac3d490, 0x8bfc8e2c, 0x3697de0e, 0x3397ef3a, 0x44d929b0,
+    0xcd9a791d, 0x5e09b048, 0xda2910de, 0x8ed130b9, 0xd2b57070, 0x2a6c2fa5, 0x36f688b4, 0xc4e41a73,
+    0xe9fcf9bd, 0x884ae2e8, 0x941ac838, 0xf4435a9f, 0x2c6732fd, 0x3cb29678, 0xbf20fb41, 0x8c9a01e6,
+    0x20f65f0b, 0xb52ca909, 0x2f31054b, 0x55c4a844, 0x73a0726b, 0x9b9bb13a, 0xb28cc1c7, 0x7dfb4242,
+    0xc9249a50, 0x1ef3d7eb, 0xe4617665, 0x318e86fd, 0xbca30cc8, 0x9bf96d97, 0x71ce6c12, 0xed6a7700,
+    0x62b49d15, 0x7a8407b0, 0x6d801ff5, 0xda868e4b, 0x8dceb5e9, 0x8857c4d4, 0xad632ac6, 0xf1623dc2,
+    0xacbedec5, 0xa9140f25, 0x81a11a06, 0xd07df44d, 0x9c018db5, 0x490f8c13, 0xe825d166, 0xdc779908,
+    0xb85da049, 0x661b1ef1, 0xd32a0718, 0x54eecc79, 0x2a70df38, 0xde786b2d, 0x277d22d1, 0xedca34b6,
+    0x76ebb442, 0xaeed4259, 0x4668519b, 0x2d41322e, 0x83bbc05b, 0xec41a119, 0x8f148db1, 0x17931641,
+    0xd6f04d6f, 0xb4502302, 0xdff5269b, 0x15f49636, 0x47b728d2, 0xc184f6f0, 0xf21f9001, 0x4770ae5f,
+    0x8502a14d, 0x96838ef0, 0x13eb3223, 0xcc8c0bbe, 0x6db18df1, 0x7725ba3a, 0x90eec882, 0xd88626d9,
+    0x921f7051, 0x5d9f4ac9, 0x89c1fc2c, 0x211fb630, 0x67408321, 0x067c726a, 0x54392dd1, 0x9e8b032a,
+    0x199f40cd, 0xc4cbdf3e, 0x1a770aae, 0x1595e274, 0x4bfc547d, 0xd56732ab, 0xd0d06dc0, 0xbe1a9721,
+    0xce84c58f, 0x5b86b0a7, 0x31fa4037, 0x37c0961f, 0xf9c3b863, 0xd621390c, 0x4afd1e6d, 0xe45e5a81,
+    0x92eb1395, 0xd350c4fe, 0xba21851f, 0xfce0f600, 0x9ff2e12c, 0x8c843987, 0x7f3fa19a, 0xb12a3864,
+    0x217da876, 0x002ea0c9, 0x3e801a41, 0xdb51f8f8, 0x8019baf5, 0x0ff23f76, 0xa48d969c, 0x5ef8e8e3,
+    0x92c082cd, 0x51ba77ed, 0x979e25d2, 0x43a650d4, 0x49da5dbe, 0x9e929d93, 0xdaa812ee, 0x4fb36af3,
+    0x93846817, 0xae644e04, 0x77dc31fe, 0x0062d3c5, 0xcf677685, 0x59caf409, 0x30b8aceb, 0xe79d7620,
+    0x2e69e963, 0x8fb2b0f7, 0xb12a7852, 0x67132bab, 0x09c9c0ea, 0xea94960b, 0x823f2b9c, 0xbde1af6c,
+    0xebcb54b1, 0x979b5559, 0xd8ffd0c7, 0x7ecf7371, 0x90f907bb, 0x747e94e6, 0xbd5d5e08, 0x3a5a8f3d,
+    0x22de426b, 0xdc510f5e, 0x056556eb, 0x4b1ec51c, 0x6d6c3a19, 0x53dba0de, 0xfa00271c, 0x1958e8ce,
+    0x466289e6, 0x44f2151f, 0x4e5ce9d9, 0xe8a4aef7, 0xaebcf937, 0xc691d74b, 0x336ae384, 0xd09dfab8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000008388608 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff2b6586,
+    0x00000000,
+    0xd07fece5, 0xb99b9db0, 0xced72f3a, 0x6e270b32, 0x581ed04f, 0x436faed8, 0x8fef4a4e, 0x92797fc0,
+    0x6ae3227f, 0x422decc1, 0xcba67b06, 0xdb7ef117, 0xa3b527dc, 0xef21ef55, 0x4f5bbfe9, 0x70ab06ac,
+    0x2914f37a, 0x66b30f0f, 0x8d146fe9, 0x38295d74, 0x8a6befdc, 0xa0ddca78, 0xb1b0b15e, 0x7e7f39bf,
+    0xbe022d2a, 0xa34e3d60, 0x7a917441, 0x245cb42e, 0x008dba3f, 0x53539405, 0x0786e858, 0xe8258ce9,
+    0xba9c5bb4, 0x20ffa041, 0xcb321e52, 0x147e6c12, 0x3fa245ac, 0x7abe3dcd, 0xb9205e0f, 0x911e043e,
+    0x7b8830ea, 0xa10cb463, 0xe5b6fd69, 0xc1e988dc, 0x095e46a6, 0x2ed8fee0, 0xa0f45fe4, 0x8868f3cf,
+    0x48ea3594, 0x8ed70a96, 0x41e38cf9, 0xcc6e09df, 0x68ce593f, 0xcb5216af, 0xa1ed9cb4, 0x1880cf0d,
+    0xba67663b, 0xbab3ef40, 0x5eca0d4f, 0x5ef141ab, 0xe4d1f5bd, 0x598000db, 0x4815e2c1, 0x1a137e96,
+    0x3d427626, 0xd97d5b4c, 0x63072cc7, 0xcf54f5d7, 0x460439da, 0xbca5dfd8, 0xafd10495, 0xa1ee7890,
+    0x704dcec4, 0xce15289f, 0x22b77854, 0xd576aaa5, 0x02dda927, 0xe530c414, 0x67efb318, 0x4d40ee51,
+    0xafdc8b2b, 0xad4e7a5e, 0xf8a1f90a, 0xdb1079c4, 0xdc16a065, 0xdff3e057, 0xea79d17f, 0x43d34bf8,
+    0xe3e1420d, 0x2255cf6a, 0xe0e492da, 0x35431bcf, 0xb54f3c04, 0xc183c13e, 0xb7bbccf4, 0x5e417ff1,
+    0xca9111fe, 0x9fc82452, 0xa6e8a242, 0x209d681a, 0x703af4ed, 0x99125073, 0x99115ac6, 0xa076178f,
+    0xbbed112c, 0xb7c0d6a3, 0x36a7d16a, 0xd5d36a1e, 0x95bb035e, 0xe9ba8f88, 0xf58b5f92, 0xf0bc7c0b,
+    0x586233dd, 0x7651c0a2, 0x2dd2bd9f, 0x9c0d544b, 0x5080a355, 0xfcd62a72, 0x61e38558, 0xf81f1185,
+    0x5bbaa36b, 0x2197a0fe, 0x1a64e134, 0xd325455f, 0xcdfd66f4, 0x28281020, 0xe74a0081, 0x705aaba9,
+    0xf0205a2b, 0x158e7671, 0xfda14763, 0x519c4cd4, 0x0b9c7235, 0x7fd4f569, 0x9ac456a4, 0x1448bbb2,
+    0x418da722, 0x4c8a15d3, 0x1481127f, 0xfd796446, 0xbecc68b6, 0xf50174bc, 0xc0b73fa0, 0x5d02d482,
+    0xf1171b8f, 0xc00d96c0, 0xbcd7a444, 0x0e8e6cdc, 0xb57ae9e5, 0x68241f5b, 0xaf07211f, 0x3c6ff3ed,
+    0x34a323e2, 0x8fd9c964, 0x5b4ad7a3, 0x53390722, 0x16600ec9, 0x002d08f7, 0x434839cb, 0xfbd60179,
+    0xc7296bed, 0x4f09d4f8, 0xdfe5a307, 0x01e2ab6a, 0x33a70317, 0x37620147, 0xa5cd948b, 0xd1dc7e2e,
+    0x88f93613, 0xc2345c80, 0x3bfee9d2, 0x8880948b, 0xc6f2fdc8, 0x58ff16ba, 0xa8280dcf, 0xf45bcd8d,
+    0xa7d97a5f, 0x5c272560, 0x26401ba9, 0xae06520c, 0x162a8707, 0xe3340e9b, 0x76ba9204, 0x720d27cf,
+    0x301000a0, 0x5f79f765, 0x8e639b6d, 0x556ccc65, 0x855eb997, 0xb1e4f62d, 0xa933c0b3, 0xeffbe01e,
+    0xb56f4165, 0xe804169f, 0x297be14b, 0x47bb157d, 0x289adc8d, 0xaeae4f3a, 0x32dd158a, 0xd1a48fd1,
+    0x96dd0470, 0x131b8719, 0x61cb0773, 0xddc9d473, 0x54583789, 0xdff5481a, 0xc7a72194, 0xd38c8963,
+    0xf5dab67a, 0x2ce6145d, 0x4de8c957, 0x94563f54, 0xb86738d7, 0x29e2677e, 0x3e295d62, 0x44ea46a7,
+    0xb77fd6ed, 0x83d331e2, 0x26104d2a, 0xa0512d0b, 0xfa0e0221, 0xd3d62d03, 0xb3cc34db, 0x4c8aebcf,
+    0x54dba62b, 0xbde788b2, 0x0172ad25, 0x7e4ec6c2, 0x7ecf87e5, 0x3358fe0f, 0xcf598795, 0x370ca420,
+    0xd7edbe16, 0x249f8fcc, 0xe9d512fc, 0xb15d42c0, 0x54f2c02a, 0x8e862068, 0x07d028a1, 0x920cb725,
+    0x8ff9c30c, 0xe8f212d1, 0x7e174f75, 0xecbb870d, 0x51af116d, 0x70a1a74e, 0x744b31e5, 0x505e5600,
+    0xf9769d67, 0x11b7bb50, 0xbbaac5b3, 0x7e492df1, 0x19eb36bc, 0xb1932ad8, 0xe2f53d6b, 0x7a3c5aec,
+    0x25227c89, 0x94bf00ec, 0x2fc26a6d, 0xd471cdd1, 0xeb59d086, 0x405c6599, 0x10f88574, 0x9ad80879,
+    0x5293a7d3, 0x2c5e86a0, 0xa03320e9, 0xb5e63073, 0x4ca767c4, 0x4f9794bc, 0x51fe07fe, 0xc711d24d,
+    0xa00e19ab, 0x9a022b10, 0x3f7c64c4, 0xbe6d53ef, 0x784d1aa9, 0xaef1c89e, 0x91e63e09, 0xd146d000,
+    0x79f482d0, 0x6f378571, 0xa945c46a, 0xdfa35b8a, 0x9673ad96, 0x13a3d0ae, 0x66529029, 0x65c3e1ab,
+    0x2182a004, 0x985ae7d0, 0xb6a27ebc, 0x7390b35b, 0x27c5d703, 0x7aa583bc, 0x77f4e3e2, 0x1e3adbfe,
+    0xc55b96c1, 0xc8243b68, 0xc14b0cfe, 0x546ddd74, 0x8806c0f5, 0x78b76c45, 0x4b4319b4, 0x049f0d8e,
+    0xb0a78e4f, 0x683f0068, 0x0458e8a7, 0xd15d06f1, 0x5f2efc06, 0xdb2a69b7, 0x32409b90, 0x3712cfa2,
+    0xae7cce76, 0x2517894b, 0x4286d4c3, 0x5804f498, 0x146d1c16, 0x8f929381, 0xf639566b, 0x97105487,
+    0x60d7ce7e, 0x5082dc80, 0x494ec8bb, 0xecbb8b1f, 0xe00ad16f, 0xe23a351a, 0x64aad672, 0x50d6ef17,
+    0xabb7b041, 0x84e4b619, 0x8547e2d2, 0xf15b6e70, 0x19e0b6e8, 0x062015d2, 0xc2075fd5, 0x2526657c,
+    0x02867e22, 0xc0ecc94e, 0xa8b33919, 0xaa4a6783, 0x3c0eff2d, 0xff7d98a0, 0x1936c516, 0xe74e66eb,
+    0xecc3ad1f, 0x0769330f, 0x48f2d8d6, 0xa081a9c7, 0x81845454, 0xb6225561, 0x081d2207, 0xf1fe0158,
+    0xc88667bc, 0x974228d9, 0xd39a959a, 0x29ba0728, 0xc0099804, 0xd040d6a6, 0x03960844, 0x5490ecfa,
+    0xda825c3b, 0x5249b394, 0x2e483469, 0x43472c28, 0x1d41c1d5, 0x03c14d91, 0xa1f1932d, 0x77538cee,
+    0x1f4e8e64, 0x49b99684, 0xf9b60be0, 0xaa822151, 0xae9f711d, 0x2bba8ea5, 0x7a7fba24, 0xb7de9797,
+    0xa363f409, 0x0308b9a3, 0xa7c19de8, 0xd5dc3d86, 0xa2a993ef, 0x1aa723e5, 0xfea22fe3, 0x2e249428,
+    0x9ed9f28a, 0x5d67acab, 0xb8654765, 0x0e793e20, 0x475b6b69, 0x273f55eb, 0x3ffd9374, 0x6acd9fc7,
+    0x41810072, 0xe314aeaa, 0xfdd8b16b, 0xfce4733a, 0xd390ce9d, 0x4350caab, 0x1ef62fb0, 0x51fd0e84,
+    0x54394b1e, 0x18cb80c3, 0x21e34d60, 0xb89596a4, 0x07597d22, 0x8c5a4753, 0x9c232850, 0x7b415db6,
+    0x4cf66bfc, 0x4d42df5e, 0xbe696816, 0x5c4acc02, 0x97b9cc2e, 0xfd1d6615, 0xd1a56cb0, 0x4835c1e9,
+    0xd5fa2fd8, 0xf713cc31, 0x8f392bff, 0x6ca357fb, 0x8d064dc1, 0xf9b4f8aa, 0xdfd24899, 0x280e1f44,
+    0x528cf00f, 0x3d6c6f56, 0x7542b66d, 0x2051754a, 0x00df7217, 0x57139f6d, 0xd947140e, 0xd8cbfc26,
+    0x49d4dd6e, 0x1f1464ac, 0x0ce9d847, 0x1c646780, 0x98e95ddf, 0x11358831, 0x1ca5da36, 0xb728ef03,
+    0x9abc5bc0, 0x5e41932d, 0x15b8b497, 0xa1da5b4e, 0x5bef9885, 0x22fe851a, 0xba5fbbe2, 0x7b2b380e,
+    0xe717aa40, 0xbec4316f, 0xf02e1a17, 0x2891f696, 0x554cd2c8, 0x5453fb29, 0xd8811415, 0xfca006e0,
+    0x32e904b4, 0xd443cf25, 0xf4a0ba3f, 0x3e919ca3, 0xe31b18b6, 0x3f0ca77e, 0x908b7ece, 0xa1bb79f0,
+    0xc63ee749, 0x14d89f27, 0x823a08fe, 0xb40befb0, 0x6844a85d, 0x60ddac86, 0xf98e7d28, 0x0812a3ce,
+    0x4074c58e, 0x55f9ee11, 0x362fe99f, 0xa905f86f, 0x2a455b51, 0xe16d2cf5, 0xcba4ba1c, 0x0d55ffe9,
+    0x1d41f6b4, 0xa28e21c5, 0xa2e59972, 0x9c093cc9, 0x13ad2583, 0xbb0f9fc8, 0xd7a3c5c5, 0x4bf98c18,
+    0x386e4e01, 0x1cde3221, 0x575a63fa, 0x8be96504, 0x3e9a1c14, 0xe2e84c8f, 0x6dce622a, 0x746b08a0,
+    0xa65bbfcd, 0x2890b96a, 0x5d734f99, 0x3d95fbcd, 0x3ae3caea, 0xf65cff22, 0xb5cfa854, 0xc8e5369b,
+    0xfde2b4b1, 0x49e16d57, 0xce0231e0, 0x084ece97, 0xa0da3568, 0xaec4b48e, 0x5186854a, 0x1458810d,
+    0x93ea5d9d, 0xd1aba50a, 0x3b1a93cb, 0x2b5685fe, 0xe9e67b45, 0x28081fb2, 0x32dde2da, 0x9ee3823f,
+    0xa33fc89c, 0x1b3bdd51, 0x056d2a9a, 0x75c56c26, 0x38ea7023, 0xc6173b04, 0xc879a18a, 0x4dec44d7,
+    0x04495db7, 0xae276201, 0x94ba5d1a, 0x7e2430f3, 0x448fdef9, 0x4bd8de4f, 0x4fd6cf9d, 0x61fd0dee,
+    0x5737144a, 0x51acb731, 0x8877cb69, 0x57d071a5, 0x16bb0461, 0x3ad0b334, 0xc48acf40, 0x83230eed,
+    0xfc5f7d13, 0x48e32f3f, 0x976514e7, 0x0b32fafe, 0xf4b19c8e, 0x941b1139, 0xdc309a1a, 0xc430f311,
+    0x483644af, 0x22afa543, 0x36da0cb9, 0xeac31961, 0x894ed52a, 0x073e1523, 0xa982a243, 0x03e30677,
+    0x34053867, 0xed1244cf, 0xb5715320, 0xb181da37, 0x62625e7b, 0x46a4f6b6, 0x5e8af5f5, 0x0819204b,
+    0x5b7161c8, 0xfdeb3870, 0x23900e7a, 0x53cfb4f9, 0xa5f0d7c4, 0x23978913, 0x4930acb5, 0x6b31646a,
+    0x91f447c4, 0x87246e95, 0xa9667573, 0xdcb321ef, 0x2a651cd5, 0x36f15c91, 0x344a501d, 0x8937e2fe,
+    0xba95cb4c, 0xca297ee4, 0x90d9b2b9, 0xc198e491, 0xa8bfc762, 0x6c3b249a, 0x5d341001, 0x3e5aa4ca,
+    0x51844c37, 0xebfaa759, 0xfa57c80b, 0x2f5f2e99, 0x7bfcceb4, 0x7f5abf31, 0xdb2d0ee7, 0x4a786a8a,
+    0x8c5ecdc4, 0xe4f57e98, 0x6f2f472b, 0x2afaa6ec, 0x1a0ebfd1, 0x022671f1, 0x3784c990, 0x30ae60bd,
+    0xaaa7d2ff, 0x0733d744, 0x7db63afa, 0xbc6a8da0, 0x50b4c1a1, 0xf871db66, 0x5aff0b0a, 0x6fa5913c,
+    0x249e982b, 0x346a6e92, 0xb8a5f54b, 0x11e798e0, 0x5a885a8a, 0xda0b6280, 0x716e981d, 0xa1a962be,
+    0x29a0e703, 0xe67223bf, 0x1e2994f0, 0x514bce7c, 0x90dd9fb1, 0xcf6cbde7, 0xb59a1d78, 0x38d3c526,
+    0x3d5c662a, 0xd75abd85, 0xf3f8bc74, 0xc48a6e4b, 0xca3a2982, 0xeda2ecd1, 0x3b5908f4, 0x9b21f20c,
+    0x12554445, 0xb804ed43, 0xb189f679, 0xb9eac0f3, 0x7c63b7a5, 0x17326dbc, 0x60f498db, 0xe1af5a5b,
+    0x56f2bd66, 0x2da4128d, 0xe86b5165, 0x91a0f429, 0x90b09919, 0x59dae4e6, 0x8f0ea699, 0x9984a40a,
+    0x39a9c003, 0xc75fa21b, 0x36dd08f0, 0xfa9f1b57, 0x994b502b, 0x2b98d413, 0x0196c5fb, 0xc794f185,
+    0x7d653970, 0xea95a5ef, 0x2bd8d52a, 0xc16d7a8e, 0x40a946b0, 0x4ab05583, 0x8a25fbe1, 0x850a3dbc,
+    0x951e82d2, 0xedb0e17d, 0xc4ce2b50, 0x38665afa, 0x7c94e591, 0x4eced290, 0xc8570d73, 0x03f9c536,
+    0xeb6f2a45, 0x3e798ea3, 0xe0336243, 0x07c112f9, 0xc46c08c0, 0xfe17a581, 0x13d1a3dd, 0xd0f625a0,
+    0xb35527e6, 0xae28723a, 0xa9a6691f, 0xc8c78775, 0x33608a3e, 0xa37b9b3a, 0xebb26747, 0xe0f638ed,
+    0x97ed072e, 0x9fe7cde9, 0x4fd861be, 0x4fedc961, 0x960b347c, 0xe05ed28f, 0x6068e5ed, 0xf3daf015,
+    0x303026c9, 0x3980338c, 0x29330460, 0x59e16371, 0x44825383, 0xc3fd4e81, 0x4cae4cae, 0x182b0905,
+    0x9c77c7d1, 0x54c7426b, 0x72077d17, 0xdeac8628, 0xc82701a9, 0xedf01d8c, 0x5db67151, 0x8225d802,
+    0x93f07353, 0xcacf8b20, 0x53518500, 0xf709fccb, 0x1d85a89a, 0xc820f123, 0x5eb97e6e, 0x36afad90,
+    0xd1a62ca4, 0x0a21356f, 0x662cf25d, 0xb20f5e28, 0x1db52166, 0x5d43e54c, 0x1f2e60d5, 0x99a05aad,
+    0x517014a7, 0xda03d52f, 0x8d62f525, 0xe2976ba2, 0x062d3c98, 0x34b1fa08, 0x4b661ed7, 0x416c7f80,
+    0x68aa6fa0, 0xeb254b7d, 0x1d84c466, 0x78f35d3b, 0x48635834, 0x3e34c6ef, 0x147ccec7, 0xea3d40ae,
+    0xe13071ab, 0xe49a5ed5, 0xd047930f, 0x73be8e00, 0xff12c52e, 0x255593a2, 0x0b66fd6f, 0x1650777b,
+    0x7dfc82c7, 0x5a00b4cb, 0x9c5c333c, 0x558d75e5, 0x12e202f0, 0xf620db39, 0x03f1ad81, 0x74188c0c,
+    0x2a3b7853, 0xdae4717c, 0xd4a5327c, 0x9a6592a4, 0x4d8b95b1, 0x402e5260, 0x70c40a75, 0x39fdd29b,
+    0x10cf6564, 0x41fff887, 0xdab6dec1, 0xd371940e, 0x82c1b132, 0xae707b39, 0xbfdd12d7, 0x92ce2793,
+    0xe9fea053, 0x9ce7520d, 0x07227878, 0x0f349cc3, 0xa4c86f22, 0xf01eb843, 0x8d609291, 0x14e8aaf1,
+    0xf54b8a05, 0x100dab3b, 0x6a3ff09c, 0x058eecce, 0xffd00d0c, 0xeeff752f, 0xd8efabc7, 0x3855aee4,
+    0xfcac6ac5, 0x36210aba, 0x9df25af3, 0x204d51e1, 0xf88ee2ee, 0xfd546cbf, 0xb8183715, 0x8ea8e7c0,
+    0xad1743f3, 0xe6ae3059, 0xebfb1bda, 0x72c2e7d0, 0x4a84283f, 0x53e91af8, 0xb1e41e98, 0xea467ac6,
+    0xbb525d9e, 0x7e175820, 0x16addb3a, 0xc66ed9dd, 0x042d060e, 0x6adbc802, 0xed69cbc8, 0xb87f2035,
+    0x52e1a71f, 0xf1347457, 0x51f8b2af, 0x9891c4d7, 0xf18174e5, 0x42629837, 0xfdf689d6, 0xaa2deb4a,
+    0x247725f4, 0x9bec8518, 0x4b8b3da7, 0xbeb374ec, 0x6efa71ab, 0x28ffc7c7, 0xa810f0bc, 0x8622919e,
+    0xe4b6b4e1, 0xb2a8708b, 0xff166df0, 0x7456800b, 0x4882583f, 0xa0a035f0, 0x800f77f3, 0xcc40d486,
+    0x8a8aca11, 0x0f365098, 0x75afbc60, 0xd2d67fc4, 0x3a1828dd, 0xc14eae4b, 0xc7077ecb, 0x550dc08b,
+    0x4996802d, 0xc3a32800, 0x059d3f1f, 0xbf5b73cf, 0xe440f642, 0x10fccab5, 0x6c0d785f, 0x72853271,
+    0xddce0eb7, 0x102516d6, 0xac1ea68a, 0x00b403a5, 0xe96dbd17, 0x843fb3b9, 0x7d185a89, 0x20bfcaa3,
+    0xa25b44b8, 0xf9a82600, 0xff094f92, 0xbaa83e63, 0x7b973a01, 0x2b84a8e8, 0x86125b43, 0xe8054f97,
+    0x1df7a9a1, 0xc2e0da79, 0x93e64b23, 0xb6de088f, 0x47588ec3, 0x6e25a4c2, 0x87e672b0, 0xcfa235f9,
+    0xee9176ac, 0x4b711abe, 0x99dff7c7, 0xfd569748, 0xa9b9c564, 0xdd4fe1cc, 0xdc101796, 0xf887f909,
+    0x52eda093, 0x808354e9, 0x8836f22c, 0xf35fab89, 0x3a99b068, 0x489922a3, 0xcb0aa234, 0xc3964e3d,
+    0x99879e42, 0xa4de3780, 0x3dcc742b, 0xf8f2f874, 0x04e2c9e7, 0x3d66f58e, 0xf7e6a7b0, 0x755d23a7,
+    0x88ee3c8c, 0xf8b7333f, 0xa49156f0, 0xc2fbc51f, 0x221e19fe, 0x9c676d60, 0xe6753bda, 0xcd85b520,
+    0xe4cc8fc1, 0x6a4aca36, 0x3a79c7eb, 0x02ab051a, 0xc3875fdd, 0xa2ddae60, 0x69699559, 0x1b21bee9,
+    0xcf500219, 0x334414d4, 0x3d430b0c, 0x64652a63, 0xfc8c0521, 0xae7a6d13, 0x6db5c13f, 0x36790f42,
+    0xd8f93dc1, 0xbec36e5d, 0xe5267649, 0x79f97243, 0xa34c66d4, 0x134b46c0, 0x9e89bf70, 0x1c92b50f,
+    0x067566b3, 0x1e3f143d, 0x9d1827e5, 0x1db83b9e, 0xd8284cae, 0xb4b95a08, 0xabbd1ed2, 0x09f9b1de,
+    0x76ac69e9, 0x3a094ac2, 0x56372964, 0x4439b9a6, 0x83b8a8a9, 0xb4cbe3f5, 0x650c9c28, 0x41f20ba9,
+    0xa3cf54f1, 0x6f692083, 0xf5ddfdfb, 0x20de13e6, 0xb684e1a0, 0xba671e5a, 0xcd891450, 0xf1e2fda2,
+    0x8f38b105, 0x2d1579f9, 0xf7cf3a7d, 0x6a3d910c, 0x72d4d875, 0xc753c0c4, 0x5e09385f, 0xa85e9889,
+    0xdaebe794, 0xf1816459, 0x452c9d19, 0xcd57cbf0, 0x079bff11, 0x1c3ee23e, 0xdcbee2d3, 0x15884d47,
+    0x6b227a23, 0x2a112aa9, 0x342df7c2, 0xd99b3202, 0x43fb99cd, 0x64a5ed53, 0x8ed150a6, 0x4bd54994,
+    0x522f1847, 0x235a3290, 0x59dea7bf, 0x289f2c8e, 0xa8e17d31, 0x2858a2c2, 0x36ca3937, 0xbd092937,
+    0x53c5837e, 0x6425886e, 0xee0bc455, 0xc9c9be00, 0xf8d4daf1, 0xb09e26c5, 0x2c9423ea, 0xaf3322d8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000004194304 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xff95b2c2,
+    0x00000000,
+    0xe708450f, 0x25b27986, 0xf64372a3, 0xe9a3ec8f, 0x3fc4acdc, 0xfcdff49b, 0xf9716db3, 0xaa167f96,
+    0x2069391c, 0x2fe8b64d, 0x94c965ac, 0x8eaae3c7, 0x0aef8cad, 0x038138f9, 0xebcbfbf0, 0x6736315d,
+    0xd9d30953, 0x30f00e5f, 0x7fd0f0e5, 0x5d91c7cc, 0xdc0efbd9, 0x6f5fef67, 0x208a1fff, 0x767fb153,
+    0x30b15aea, 0x2b5c2fad, 0x9f180bad, 0x6eba1e1a, 0x741b3d9e, 0xf2585545, 0x79794d3b, 0x279380ad,
+    0x164b2cc4, 0x3d572e13, 0x9607002c, 0xe5cdbb93, 0xa3f11c5d, 0x1182c5d1, 0x02386394, 0x900a9472,
+    0x168ed51a, 0x2fbe7f9b, 0xb193178a, 0xd32c21f1, 0xb47ed217, 0x607d5b1a, 0x58abfe0c, 0x42b12e39,
+    0x45918727, 0x7e5e88a2, 0x382ba499, 0xb757581e, 0xd902629a, 0x02ddb4c3, 0x6d10422d, 0xae4b439c,
+    0x3de5c00e, 0xe2c901b0, 0x3b610725, 0x18d7d92e, 0x186400e6, 0x6277d496, 0x72114540, 0xa38b6b2b,
+    0x8c5e79fc, 0xe7895007, 0x52fac05a, 0xcff920f7, 0x03f0b729, 0x53a774ef, 0xf7755777, 0xa486ada6,
+    0x80ad67d4, 0xc3846ef3, 0xa0d32c8d, 0x6e76d069, 0x3fbdcf2d, 0x624d7756, 0x8da67923, 0x9fc5b0c5,
+    0x01926553, 0x56feacb7, 0x8e4154cb, 0x2afb6fed, 0xcec52540, 0x1331ac84, 0x235b4950, 0x399adb02,
+    0x6724ecec, 0xe888be26, 0xe26e19e5, 0x9b04cca5, 0x52437f6b, 0xefcd0c0d, 0xa795590f, 0x6a7fef91,
+    0x89c036ae, 0x67af9322, 0xcbc2eed0, 0xc6490db7, 0x7506b69f, 0x29c74eec, 0xe21e5446, 0x56a4a3f5,
+    0x14c73713, 0xb0bf9e37, 0xd3525cb7, 0x1f119b14, 0x3eee2189, 0xc58bd56e, 0x7d30fbac, 0x0b76c5eb,
+    0xfcd3d58c, 0xe5c013c3, 0x3f5fc2d7, 0x2a875f30, 0x7f6ff764, 0x80f7d89b, 0x2d6a33f9, 0x74c63d90,
+    0x546887d2, 0x9c5a1f3a, 0xd645564d, 0x201a9660, 0xf5c91c05, 0xbcffc61e, 0xcb220c56, 0x6d7df44d,
+    0x59a3f9dd, 0x2da3bcf0, 0x43dd559a, 0x1db1b50b, 0xdf714d24, 0xef6a621c, 0xae985044, 0x16d6b7ad,
+    0x3d104a1e, 0xcf0ae14c, 0x1f7fbd35, 0xa2a77bfb, 0x5bbdf83b, 0x45800076, 0x52c6ceb8, 0xc5ee543d,
+    0xf4c11b6c, 0x6633c8ca, 0xf32517fe, 0x3337aa5b, 0x94834821, 0xb4dfc0ae, 0xaf2009c9, 0x8b95dfe8,
+    0x302da8cb, 0x3d6bd807, 0x03963972, 0x3d9cda21, 0x0fc8b628, 0xa8834c5c, 0xcb90b68a, 0x3307aeb1,
+    0x54682660, 0x0bffd104, 0x0fc27d7f, 0xe700c026, 0xebc3abe2, 0xd913402d, 0x82110038, 0xe966e0dd,
+    0x7617dd2f, 0xa4ee6efd, 0x0764cdb0, 0xc8d64423, 0xee25bd2c, 0x7a7cf463, 0x3d4f5c2e, 0x72f027df,
+    0x696ccf07, 0x4223b71e, 0x267fabf7, 0xbccb63c0, 0x26663dd3, 0x7b85f384, 0x63ac6587, 0xdbc09314,
+    0xc419367a, 0x9085c426, 0x26f5de72, 0x84b161c2, 0x3310d7b4, 0x697abcb9, 0x8e61ce86, 0x4ba6856f,
+    0x3afc1ec8, 0x70901a81, 0x23ab3790, 0x24a9a799, 0x2d7b0619, 0x9690abf0, 0xcab0f79c, 0x3d9e0cc2,
+    0xb4d9bbcb, 0x5964e962, 0x60b9c059, 0xed105e5d, 0x285a1b41, 0xd8032864, 0xc6af62e8, 0xe601ec81,
+    0xc6574f5f, 0xd0c9b2ca, 0x1eabf9f1, 0x94a10bb3, 0xee26c9e6, 0xec6cc0fc, 0x86d46ae7, 0x173d2fdd,
+    0x2c6b30c7, 0xef5e214d, 0x9e4128cd, 0x52d9dcb6, 0x1ab0b089, 0x9fe65c72, 0x1a2c91b0, 0xf4aa6f03,
+    0xce1c446f, 0xbc35f14b, 0x77bcb9d0, 0x30ab5e8d, 0x98fd6966, 0x8d135779, 0x0af6da05, 0x884fa0af,
+    0xce20140a, 0x20cca2f4, 0x1b58af5e, 0x4e7156ae, 0xb95ce010, 0x913f8d28, 0xb4fc4af5, 0x1b51b9ef,
+    0x7e05154d, 0x2e0d6c2f, 0x812d2ce3, 0x9a15ec95, 0x9fdfa9c4, 0xef0dd9f0, 0x6655e219, 0x8db29259,
+    0xc3d5a67e, 0xc0ff8a7e, 0x07230de0, 0xa980cb48, 0x2861a30d, 0x1706be9d, 0xafa33104, 0x8cd30af8,
+    0x88bd9c82, 0x8b146930, 0x322e3e14, 0x66f7f68b, 0xacafac09, 0x37b04b16, 0x2794ce5f, 0x8a8895fe,
+    0x4e2f5b7d, 0x1afc2abe, 0x292a9e21, 0x3b89eea2, 0x695b78a6, 0x250e5ec4, 0xe11e09b8, 0xf957cd9c,
+    0x9454c5e1, 0x0b66cc74, 0x61bd22a5, 0x1980504b, 0x5ad7ac09, 0x0b14c78f, 0x6a737abf, 0x9840d734,
+    0x26ebe348, 0x06a4c880, 0x9c8ed760, 0xa6b3cbbf, 0x6bfb6576, 0x4f4bec57, 0x0a2a9c71, 0xa273ac9a,
+    0x7282f952, 0x62f0eb0f, 0xa901150e, 0xa98276f1, 0x11cd70db, 0x721e2279, 0x883b4dd9, 0x3f323349,
+    0xdda84495, 0xa0445264, 0x8da005a4, 0x78b5fd1a, 0xf0d414ff, 0xe1839fcd, 0xb88083d3, 0x89cc9f34,
+    0x6603b761, 0x3ef9c968, 0xbb09e588, 0x0d4a5162, 0x9cf74bd8, 0xb6165206, 0x0551ee53, 0xd09766db,
+    0x0a0ba6e6, 0x32812a8b, 0xbc4de5ef, 0x6fa2a963, 0x7f283de3, 0x945d4611, 0x8731ef5c, 0x6de51ca3,
+    0x201e84b8, 0xa0bee97c, 0x4705899f, 0x6b819b16, 0xc66d6881, 0xafba75ce, 0x750c70ba, 0x45f5762c,
+    0xb1f345aa, 0x86921d40, 0x47a91b8f, 0x7e54d4c5, 0xfd7a9e1c, 0x7c92fd55, 0x333272a4, 0xd18018a4,
+    0xbca31649, 0x13411ac6, 0x1b440cf4, 0xdccfd3ee, 0xb5f8f56b, 0x6048dccb, 0x2f75a4f7, 0x581f3b53,
+    0x1860b049, 0xa57187e0, 0x6f1e994d, 0x7c2f8132, 0x8c1ab7e3, 0x58cb56f2, 0xc6f07da2, 0xc2ac8ea2,
+    0x2b2e3c8f, 0xe6811ace, 0xbccd6b0b, 0xdbe354eb, 0xed62aeac, 0x027d5a9d, 0x385b1b60, 0x45cf7f18,
+    0x33967fa6, 0x5bf38be8, 0x711b9ba2, 0xe7f95b05, 0x4d6cb6e2, 0xcdbed2ad, 0xbf3625a6, 0x9c6f1953,
+    0xf71968c3, 0xd91a7ce7, 0xa4fe3fd2, 0xe875f517, 0x615c3d9f, 0x813a29a5, 0x80074fad, 0xfcceae95,
+    0x47a4fe5f, 0x078bfd57, 0x2e68a922, 0xc40a4fb9, 0xe815bef3, 0x9f7d6fbd, 0x8b9460bd, 0x15aba952,
+    0xae13a74c, 0xd7bd083b, 0xa7f4e455, 0x6f900a98, 0x745212df, 0x75546504, 0xf2c9484e, 0xe791bd7e,
+    0x43fc17a5, 0x28a921b5, 0x8b427425, 0x526000d2, 0xa37d05fe, 0xb3618623, 0x0cf5900c, 0xe30a63dc,
+    0x112d5428, 0x5b02b3fa, 0x87f3161e, 0x66297958, 0x4f2a9b35, 0x3e73e0b0, 0xec9ae54f, 0x3276bf6d,
+    0xfd6fff7c, 0x28420630, 0xdcc83052, 0x8dd6e5e8, 0x81adeb14, 0x55a1212f, 0x15b63970, 0x193ead6c,
+    0xa759698c, 0x01941da7, 0x5a41b0ea, 0x4467b04c, 0x6f45fa9f, 0x4d8b65ee, 0x7c17abf6, 0xe6f8b409,
+    0xeaf8a60a, 0x2dd84c76, 0xcf3369c6, 0xaab5d6f2, 0x2eb48fe5, 0x8754b3b3, 0x8dbf281d, 0x54bad9c2,
+    0xd53fa375, 0x8bd3f110, 0x70d2ef32, 0x50b97648, 0x9d080dba, 0xf8971b61, 0xd5bc641c, 0x1406e81a,
+    0x2fdf25c2, 0x43ae1bdb, 0x85021aab, 0x20c11bd0, 0xf759f9b6, 0xe296b063, 0xdb0ea670, 0x735aed31,
+    0x1952b334, 0x9449e773, 0x4a3711ce, 0xfd0a7ad9, 0x348368ad, 0x1668e4c0, 0x311ebd52, 0x124b36e9,
+    0x14a0bce3, 0x34bd5ed7, 0x30ac5eb0, 0x50df9c52, 0x1aeda4e2, 0xafcce396, 0x5d44a4a1, 0x3b5f2add,
+    0xb2b49224, 0xdfdbc1e6, 0xa0ff6e39, 0x7796e188, 0x7f7a6c64, 0x71f83835, 0x40b1798b, 0xb5a733f6,
+    0x38e554e8, 0x9b4f0d6c, 0xa7447359, 0x7082b643, 0x3981c6ca, 0x6c76263a, 0x6c9c936a, 0xd82c0ac1,
+    0xb4db6e77, 0x65f84ea9, 0x86e11657, 0x00e6dfaa, 0xe644a5df, 0x91af8a62, 0x06bfa95d, 0x6f23eb2e,
+    0x4e85709e, 0x6ba173e7, 0x83dd51fa, 0xdd0b43fa, 0x7a1ca182, 0x16e555c1, 0xbd60fb0b, 0x480e2eb5,
+    0x02dc681f, 0x4e2e9dbb, 0xbec26779, 0x6626f24d, 0xae07e10d, 0x568a4f75, 0xb1abf77a, 0xb8e52520,
+    0x7ca2c7e4, 0x5418f4a4, 0x7dcdc32a, 0x7e754ab8, 0x558d3136, 0x5ad2cdcc, 0x54b1eacd, 0xf2893ddf,
+    0xe83bcd08, 0xab8bac7b, 0x18f53cd4, 0xac87f4e9, 0xfcdf1599, 0x2619804a, 0x076e71c9, 0xdd204418,
+    0x3f68c07f, 0x0e09d1da, 0x7525a36a, 0x29249608, 0xaee35d7e, 0x0512b715, 0x3d6d70f6, 0x7de76bbc,
+    0x8043a7f5, 0x05f40c44, 0x42c7f5e3, 0x2c77df1d, 0x089e4b52, 0x7a0275ab, 0x196963a1, 0xd683417b,
+    0xc85cbfb4, 0xfdb551c4, 0x7f417bc8, 0xdd42ff41, 0x02e6e7ea, 0x1df2a29b, 0x534d2eee, 0xcff62f46,
+    0xe678f7ef, 0x3089c4a9, 0x69badf0a, 0x14d6559b, 0x62bb3476, 0xbe6dc950, 0xef926b9b, 0x22d398c7,
+    0x38ba0780, 0xbd02039f, 0x1eeafbdf, 0x1e91b783, 0xfe38c7d4, 0x58332cc2, 0x89a7734c, 0xad57ebf1,
+    0x22af4396, 0x483950ef, 0x8ab4e159, 0x79fb2d88, 0x6b0e3fe2, 0x05cdd6d0, 0xb67476f2, 0x4ea4055f,
+    0x07dec4cc, 0x943aeaec, 0x75487786, 0x0e4a0866, 0x12f4622b, 0x49983327, 0x84a53c52, 0x160ac5c0,
+    0x4964575d, 0xdff14057, 0xa092f4e4, 0x59efa9df, 0xaffbecc0, 0x6bcb87a0, 0x22d8dd04, 0x85026674,
+    0x5365a60a, 0xb81ba507, 0x111400db, 0x6e8096a8, 0x92b2f690, 0x1ecbf2ff, 0x5772908d, 0xfe24f8bd,
+    0xb17072fb, 0x006a1b15, 0xbb42a0b0, 0x99c7554d, 0x7ee07538, 0x4c9f2af5, 0xef664acf, 0x1f81be22,
+    0x2564d6a2, 0xf227ef28, 0x82b1ae25, 0x5c1ced36, 0x5bfd9eef, 0x87f3f158, 0xbb3b4219, 0xe32d3f8c,
+    0x6accfd03, 0xd5828796, 0x7621e435, 0xb0c481aa, 0x2438f72f, 0xbd08c9c2, 0x5b704d6a, 0x8956eb7d,
+    0xaca00a4e, 0xed3d6124, 0xef023283, 0xf856e43e, 0x6777ceab, 0x08a50396, 0x0556e705, 0x29c7543d,
+    0xf23cd024, 0x980914c6, 0x9f5bcd5c, 0x6faa0b74, 0xd277892a, 0x2ac36212, 0x64b8ba59, 0x8327db44,
+    0x53cb3c06, 0x65317e2b, 0xeae9bca9, 0xd02f7ac3, 0x332645ca, 0x042dc3bd, 0xb7a1fec9, 0x51bf3bbd,
+    0x6a2e1891, 0xd30ac6cb, 0xd38603e7, 0x6ded0076, 0x4277cf1a, 0xeb691ba7, 0x6c0782ff, 0xfd3134c9,
+    0xeff5589f, 0x09be0e53, 0x92cc4245, 0xecea9742, 0x15292ae2, 0x3b224120, 0x6216a0f9, 0xa39e0d82,
+    0x9abcb2dd, 0xc9ba4380, 0x2d6344ed, 0xef06a2ec, 0xb25d3184, 0x543413c1, 0x53d32719, 0x88f00d90,
+    0x02daa80e, 0xf95c5461, 0xdd45a38b, 0xbc2816fe, 0xabbfc539, 0xe07b28c9, 0xdbf7cd4c, 0x50e89401,
+    0x751cf4d3, 0x0323c123, 0x9519eb92, 0xada80d01, 0x1c36982b, 0x03bd4ef9, 0xe3da62de, 0xe83f155d,
+    0x3a70595c, 0x353caf60, 0xd3e6f704, 0xcdab9015, 0x6077215b, 0x3c51d744, 0xc751f11b, 0xdb109a35,
+    0x4a1eb762, 0x4edf3632, 0x37d56675, 0xb1a073a3, 0xc153d671, 0x797e6a29, 0xb30b860a, 0x60e02c81,
+    0xaa3ebecc, 0xc2d5b839, 0x4292e4f3, 0x2750c093, 0x38b47f50, 0x40aaa9bf, 0x1839f75b, 0x5280b203,
+    0x7982ffe5, 0xa5869c06, 0x9837d47c, 0xfcd9cbad, 0x16be1d08, 0x1dbf0aa0, 0x17d8732b, 0x5cd7e36e,
+    0x87a0a157, 0x95c5617a, 0x8e74cb0a, 0x2f332ad3, 0x55245084, 0x55cd371d, 0x2dc9fd77, 0x421ffe98,
+    0x8d27f075, 0x450b4038, 0xe1643561, 0xccd9cd95, 0x46874bec, 0x74fb8a96, 0x2aa7f678, 0x45e6467d,
+    0xda41cab8, 0x5c41fb46, 0x40609424, 0x760bc14b, 0x578e1e31, 0xaa9b6740, 0x7cafa12e, 0xca1eeb55,
+    0x29a8c489, 0xb3d865ff, 0x03580908, 0xe82d9a22, 0xb45d6f20, 0xe79d9e0c, 0xc987fbec, 0xd12df25c,
+    0x9d31807b, 0xa79cfab4, 0x4a58f4d9, 0xcc744062, 0x23af8123, 0xe66311c8, 0x7724e72e, 0x7dfffef0,
+    0x087730df, 0x7cac0a0b, 0x7558efb3, 0xf4ec269b, 0xe86b09f9, 0xa6049e40, 0x568c765f, 0xef89b409,
+    0x91b20f5b, 0x853ebfe4, 0xc426490e, 0xec829419, 0x0c9a63b3, 0x54830352, 0xb1578109, 0x45741acc,
+    0x05721825, 0x899b132c, 0xfa4447dd, 0x2c21d294, 0xf29c8c37, 0xca4b6bbe, 0xff5549c9, 0x2881570c,
+    0x619128a2, 0x3503ea3c, 0x4aea032c, 0xb1bec162, 0x0b4231cc, 0x22bc575a, 0x3107f18b, 0xa66c0ea6,
+    0xf547a065, 0xeffdc0a9, 0x10eae798, 0xa690ed6f, 0x2d2dfeea, 0x31fd4510, 0xea33034d, 0x75ddbd33,
+    0xa62ba297, 0xe602ae63, 0x55d0edb4, 0xde7c9b48, 0x3dde410e, 0x2ea919b7, 0xf1191ef1, 0x434f9167,
+    0xe0e84367, 0xe789928a, 0x99c281d4, 0xa0029d90, 0xccedbc1e, 0x10ff7069, 0x95afd0a7, 0x7959af28,
+    0x9bf51c68, 0x3d2e9801, 0x5ba8cda6, 0x446918c9, 0x2d41aec0, 0x2a606c31, 0x07fce21d, 0xae32ec5e,
+    0x7e62cd52, 0x0f03a5a0, 0x54790ce7, 0x2ec2a7f6, 0x71fa7f39, 0xfed140df, 0x0c7d56b9, 0xde263d58,
+    0x39c99a11, 0xb4ffb1e4, 0x6a2b368e, 0xcd6f98b6, 0xc919fa1f, 0xc9cdcd96, 0x15fe2b92, 0x9088abb2,
+    0xb59dcdd9, 0x27bae1e6, 0xd30bed02, 0xe18aa575, 0x306ad59f, 0xd51da684, 0xac4932bc, 0x583e64b1,
+    0x9bffcb0c, 0x1332846e, 0x0aa2e314, 0xf83090ff, 0x22f233cb, 0x36c89a2b, 0xaaff22a0, 0x09869938,
+    0x594136b2, 0xe134b308, 0xeb1e8292, 0xbafe76b6, 0x18d27f6d, 0x44ac22fe, 0x7151522c, 0x434f8ba8,
+    0x430ea4a5, 0xb526fc36, 0xb9485cdc, 0xfecf4cae, 0xc40f5392, 0xe0bdf019, 0xd862a63f, 0x8018d16c,
+    0xfaad1da2, 0xf9215e97, 0xd91467e0, 0x109d4f53, 0xac1f4294, 0x780cf622, 0x9d1f0485, 0x62864df4,
+    0xe52e2d1f, 0xdad04eff, 0xdc556544, 0x0b0fcd79, 0xbcd0638f, 0x9c9a0432, 0x9550cf78, 0x0f7b0934,
+    0x2f550ae7, 0x7e3b4648, 0xba43ebfb, 0xebd29fa4, 0x17383cd3, 0xd90acbef, 0x03d1709f, 0x81217a00,
+    0xa23b2a10, 0xef1e99f3, 0x787d6feb, 0x7b40cff4, 0xb1e02a15, 0x0788b7ed, 0x1df8c22d, 0xea1f4da3,
+    0xf45e1c6b, 0x7ac134d9, 0x94d3ab55, 0x0a3fbd1f, 0x0d48dc26, 0xc38238c9, 0xa3b6d141, 0xc464c520,
+    0xf4348877, 0xf69a1b21, 0x3ce9b53a, 0xe0d4a0ca, 0xc41ae18c, 0x0d8174e1, 0xfeb995ba, 0xe941ce72,
+    0x259dcca3, 0x935957f2, 0xcb5292e0, 0xc3ebd5c1, 0xb9bf2256, 0x4b4df086, 0x2c2ad004, 0x922a3d6f,
+    0x483a3b31, 0x9dab0c95, 0xbb0dfd28, 0xf6808628, 0x11093eff, 0xddfc6b10, 0x01cbee05, 0x22d8be02,
+    0x742e77c7, 0x7c81d91d, 0x946bf101, 0x2a024764, 0xd419bc44, 0x159bf226, 0x3cd93b53, 0xddbf0036,
+    0xc7c522e8, 0x03fc8916, 0xa71a5d6f, 0x8f6375a1, 0xedeff708, 0xf8fb092e, 0x621a25b3, 0x85d111f7,
+    0xde513a76, 0xb2e33133, 0xc4e76fb8, 0x53e6cb2b, 0x87ca8038, 0x21cfc141, 0xebd836f0, 0x98380950,
+    0x7b924896, 0xa957d71a, 0xa44af182, 0x575efbc8, 0x196be29c, 0x77c98fe9, 0x50be903e, 0xbfda4efd,
+    0xd99217cd, 0x92525b64, 0x3ec6955f, 0x33346e72, 0x04db8fb3, 0xc9688ae4, 0x2fb30ae2, 0x96941f76,
+    0x3436a8ff, 0x887fcdaf, 0x5110f36e, 0x837b9bde, 0x33e97133, 0xed759b06, 0x4fa8cafd, 0xedadea30,
+    0x2ddcd223, 0x0383a52c, 0x9431dead, 0xa30e2f95, 0x337fcc94, 0x109dc9ba, 0x7ac6bf67, 0x6d3bae58,
+    0x95839548, 0x92543e2c, 0x906f4e7d, 0xd1b54830, 0x38bdf952, 0x4c6a6ef3, 0x73049e61, 0xff8ae154,
+    0x815ce9fa, 0x06a3ee61, 0x99db6348, 0x8f6d918a, 0x3ac62ec5, 0x17f73861, 0xeef70dc4, 0xfb6faa5d,
+    0xcfe58887, 0x7f066b54, 0x4479d4ed, 0x925ae298, 0x580d590c, 0x7c22b07e, 0x8042296c, 0x8a733357,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000002097152 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffcad960,
+    0x00000000,
+    0xf33229bb, 0xf4226e8e, 0x50237f60, 0x53c66c1f, 0xa8630850, 0xb3e120a3, 0xecac054f, 0xb6919961,
+    0x2cabe219, 0xb421307d, 0xbdbc5d09, 0x32326ed8, 0x890d9ff6, 0xb5e4a9ae, 0x108ee751, 0x33467f7e,
+    0xb00bd9b2, 0x571b5616, 0xe402e85a, 0xd8bca996, 0x652b5e69, 0xc8f7a851, 0xcd4b13fc, 0x33767b7c,
+    0x57f8f6ff, 0x1e530bfd, 0x748f0ff5, 0xa2554956, 0x646a37eb, 0x0cb0ba0d, 0x3eb5ed08, 0x2b3323fe,
+    0xf4d744a4, 0xf1d6acd1, 0xa3bfd117, 0x6f057b84, 0x699bb121, 0x3f3b9767, 0x4903e615, 0x10dc58cd,
+    0xd3e827ed, 0x071b123b, 0xbc9659dd, 0x0ebe387d, 0x4773be9e, 0xea8a677a, 0x5c9b97f6, 0xff211776,
+    0x2890cafb, 0x49da938e, 0xdaa4b177, 0xaaffbb6c, 0x734e242f, 0xaf5a753e, 0xd2d9c6bf, 0xab94c01b,
+    0x17e5e5eb, 0x8573ba2a, 0x62956205, 0xb8d5b35b, 0x5e3248e5, 0x2203073a, 0xf36a57b3, 0x129b740c,
+    0x5660e5f4, 0x9523187f, 0xa3369bd8, 0x310c3416, 0xa1819846, 0xf869257c, 0xd49269b9, 0xef4bacde,
+    0x2b774b79, 0x1380ef3c, 0xe5a6912f, 0x8b771877, 0x915b5704, 0x890437ac, 0xd0eb6eae, 0x032e24ba,
+    0x02a1f0c2, 0x1db2bad0, 0x3243d7db, 0xef77824f, 0xdcc43cf8, 0x0a85c3c4, 0xd8397bfb, 0xd593970e,
+    0xaaca20c0, 0x847461ed, 0x5a6fb8a5, 0x5ac51e9c, 0x66546d6c, 0x8a1db6e7, 0x69c585f7, 0x1419a732,
+    0xcdfec7f5, 0xc5178428, 0x1dbd2757, 0xc9429107, 0xef48750b, 0x5ed55792, 0xe5b61365, 0xa7394e1a,
+    0xd179aebb, 0x5c52273a, 0x2137a40d, 0x3f8bc052, 0xb7c7527d, 0x6a7f06f1, 0xaaeda540, 0x18c733e8,
+    0x3a4cd0ee, 0x130682eb, 0xf7536679, 0x155651ec, 0x910c6435, 0xdba21190, 0x58415e4b, 0x2804bd15,
+    0x7616afcc, 0x021760ae, 0xce2f8179, 0x5ff38936, 0x5471b690, 0x105f46a5, 0x9d774afa, 0xed8f6c3d,
+    0xb07bc263, 0x8fd0a9aa, 0x316d8d08, 0x2da1ac5e, 0xecac08ec, 0xe8a5a94e, 0x1493d92c, 0x19559e2a,
+    0x6b277f5c, 0x17afb031, 0xb4b061f0, 0x1e6b63c6, 0xca6a2d7f, 0xdfb7d764, 0x981a9681, 0xceaa7a5d,
+    0x5b28f051, 0xde4859af, 0x6c421511, 0x9ca81f30, 0xe45de7fa, 0x83107816, 0xde0cac4e, 0x6ee72aa8,
+    0x64d60fbe, 0x39a62ebf, 0x111dc242, 0xf556790b, 0x9d8d2f58, 0x61448e7d, 0x472f9022, 0xbd408742,
+    0xb760a77b, 0xf3572984, 0x3436ab4f, 0x9d8d47c0, 0x098e4d00, 0xcc134764, 0x22a719b1, 0x6c684660,
+    0xfab9dd44, 0x68379517, 0x242f65d8, 0xa1ca5311, 0xf84d7a7e, 0xa50b7f93, 0x8fab8330, 0xd8200750,
+    0x3456b2bd, 0x3cac3652, 0xdc95bad1, 0x6a0ea7f4, 0x763bda24, 0x13e398f4, 0x75095466, 0xa51569f6,
+    0xb187bb0f, 0x71e876c5, 0x2b6f7f65, 0x78fa9062, 0xc1269397, 0xa2a7b7cf, 0xa5d9867a, 0x8019821e,
+    0x6604fa8d, 0x70ecfb00, 0xa943a5d4, 0x4db8d6e5, 0x171ff0dc, 0x0a66c437, 0x3cfd8a28, 0xbd1ffd26,
+    0xbc4600bc, 0x9289ac91, 0xc7f55e2a, 0xbaca4462, 0xd99b6caa, 0x5ef83ec5, 0x28e3ca27, 0x4d1e2fc9,
+    0xe7aa2839, 0x7d334ccc, 0xd5237e27, 0xba4ce7fa, 0x40178158, 0x9113c031, 0xf3b5e921, 0x6789098f,
+    0x0af12f13, 0xe50148ff, 0xd6f61168, 0xb5473fbb, 0x35bf2fb5, 0x6e073ae1, 0x03e65273, 0x288f75b9,
+    0x405b0518, 0x1fa372e9, 0xc97d87f6, 0xb076edd9, 0x37a17e63, 0x238b9026, 0xa4f80413, 0x94f23f4c,
+    0x4aee4eb0, 0x62b1f2d4, 0xdeda4723, 0x2ed67708, 0x9b88baea, 0x88c040d1, 0x80e7f45a, 0x40bb11bc,
+    0x5aa4a667, 0x284cbf1f, 0x029383a6, 0xbc390503, 0x795d694a, 0x17722e0a, 0xa648ac0c, 0x4c3be7fa,
+    0x85a9eb24, 0x5fb9cafa, 0x163dd352, 0x5446131e, 0xc252f5d2, 0x21d169b5, 0xe603d154, 0x217ffc8a,
+    0x3f504ea9, 0x755b5c57, 0x5672e577, 0x3ea3f0e2, 0x744e72c4, 0xa04354b3, 0x5111e62f, 0x3eaa1aeb,
+    0x2f7e5aad, 0xffce5c9f, 0xd4c93976, 0x7d4287ea, 0x82d32372, 0xf2f815a8, 0x7606cc80, 0x320e5396,
+    0x560e976f, 0xe48b80b3, 0x368dc67c, 0xd39c240f, 0x0371a5fe, 0x9ea58a85, 0xb7c4b191, 0x75843529,
+    0x94fe7632, 0x07899da1, 0x98988d17, 0x5626f702, 0xbc49f720, 0x752a63ba, 0xa7b37312, 0xc24e3fbc,
+    0x1f0abc24, 0x61595ce6, 0x4a9aeb9e, 0x72df1cb1, 0x5aa0860a, 0xd8261ecd, 0xb03ef8ae, 0xf4affddd,
+    0x96e84b49, 0x92afb8e6, 0x1f1ea39d, 0xb574c5c2, 0xe6ae804d, 0xe4e09457, 0x045f7d61, 0xdc1b9a76,
+    0xfcc9a731, 0x5b6651ac, 0x11226b10, 0x91585f53, 0x5d64eb05, 0x45974572, 0x491354df, 0xae866f25,
+    0xdecabfd1, 0x98b472c7, 0xd6de3892, 0x270cf227, 0xd7f5911e, 0xa34acf23, 0xfe832721, 0x59f1553e,
+    0xca6c1fc8, 0x7bd38ad2, 0x6f7fbcbf, 0x7979ab8c, 0x93e0c49e, 0x50027f40, 0x07ea4242, 0xd524aca9,
+    0xf2a89cb6, 0xc140e11c, 0x95171e0e, 0xb354cd68, 0xef61544a, 0x5b07beb9, 0xb22bef96, 0x7efe3b2a,
+    0xf686d627, 0xa2f054f3, 0x3db8cf31, 0x4d53596f, 0x600aaefc, 0xc5289b82, 0x9cc6e551, 0x7df4f0cf,
+    0x806d0fee, 0x18027efb, 0xad9eb421, 0x7dd8a3cc, 0x03997917, 0xa258452b, 0xfc1e54cf, 0xcf1b9af9,
+    0x582448cb, 0xf7e4805d, 0x55b1c7d3, 0x994e366f, 0xbcc32ef8, 0x8b5e5e88, 0xa39be2c2, 0x5f6ca634,
+    0x9fa2814c, 0x0bbc42ef, 0x19303cb8, 0x818358bd, 0x146f2dc3, 0x19ab0ecd, 0x92db9f87, 0x12d92922,
+    0x1f79a044, 0xdd5dba41, 0x61aa6834, 0xf978064b, 0x0d2736f4, 0x1483a382, 0x16e8fc6b, 0x40a12e68,
+    0x1999d757, 0x17d0fee0, 0x6c0f3594, 0x685ec75d, 0x6eaf4d62, 0x5aa1fd71, 0x634427ec, 0x2c5de806,
+    0x7dd5f9a7, 0xe2739fa4, 0xb8c8aa05, 0x90dceb79, 0x64f1ae55, 0x16c2375b, 0x582dd10a, 0xe061f3b0,
+    0xd2692bcf, 0x7da2935f, 0x79a8ea01, 0x47eb0d37, 0xee1b5cb5, 0x14be35d8, 0x1ec37f52, 0xf6bdf89b,
+    0xe0eb31da, 0xc198ae88, 0xd27d8d4f, 0x5c8a7e88, 0x1bdc9724, 0xa5ff0db3, 0xf5ec4546, 0xc6e70749,
+    0x5f71810f, 0x09bebaac, 0x6e097b5e, 0xebc74947, 0x91460cc4, 0x2772261a, 0x6ce280ee, 0xe395ba55,
+    0x2f1b02c1, 0x6b975fca, 0xdd423b61, 0x36a760a2, 0x67034e94, 0x64f70a41, 0x02d5e3f7, 0x9706bade,
+    0x46ea99b6, 0x2a2536f1, 0xa4febb50, 0x4b842e8d, 0xb844829a, 0xeff12e07, 0x3606409c, 0x32c6e57d,
+    0xf06a2b84, 0x5d1859e7, 0x2aca8d07, 0xdb6956c2, 0x08053491, 0xa477a372, 0xd5cc97be, 0x0712dacd,
+    0x554ced10, 0x0fb78334, 0x2fb6b765, 0xc58044bd, 0x5287a9f1, 0xd54aa0d2, 0x876ec081, 0x30f432f7,
+    0xd518a769, 0x05f62090, 0xa8caae35, 0xd10a33f9, 0x834fa3d3, 0x1679905c, 0x80052ab4, 0x2ceabd7d,
+    0x57770b07, 0xf99fd494, 0x9bed0f68, 0xf19fcdde, 0x16a850b5, 0x050709b5, 0x36d99f96, 0x4dceea1b,
+    0x7c44322e, 0xf1e29c67, 0x4dc245f6, 0xe606b209, 0x21218162, 0x5f347da5, 0x5f5a2e34, 0xf8bcb340,
+    0xc854be40, 0xa5b4164e, 0x1870bb87, 0x7cc2a181, 0xa8a71724, 0x1fba023d, 0x33a5f2a6, 0xb1a56c36,
+    0x4a88c6e0, 0x529ea2b5, 0x2d48832e, 0x73e74acd, 0x70b03424, 0xc8884f26, 0x73968bcb, 0xb5d32974,
+    0x2fe443dd, 0x3eaf38dc, 0x5da09c7f, 0x2fadcc4a, 0xc2446eb3, 0xb36403f6, 0xbf9b6b31, 0xc78aafab,
+    0xab378ecc, 0xcee7dc94, 0xd2891a77, 0x769f75e5, 0x5a57e7ac, 0x13d9838c, 0xfa4999ef, 0x5592a53e,
+    0x808ab245, 0x17b41330, 0xd5de65a6, 0xc9b942bb, 0x58e7b01b, 0x9776ffd9, 0xfedc28ba, 0xc3174182,
+    0xe74590fb, 0xdfbd56b9, 0xf0e81cd2, 0xde016444, 0xc3467d17, 0x1d8d83fe, 0x0f251513, 0x7215672a,
+    0x40fc3e6b, 0x92c5219a, 0xa3ada7b5, 0x4cf994bb, 0x817dd37b, 0x55668838, 0x1d430899, 0x0307f939,
+    0x16359a4f, 0x6552abb6, 0x775bda64, 0xbdd02191, 0x25bdb4e3, 0x27b3f76a, 0x0f773f28, 0xd9ea549f,
+    0xa1ff388a, 0x0a775fcd, 0x887615ac, 0xc6e78d56, 0x8aea7bad, 0x45242691, 0xcc68a1f0, 0x221597c0,
+    0xbf966656, 0x60e3caaf, 0xaabf2224, 0xecdb851b, 0xcda3c16d, 0xd9064564, 0x813930b4, 0x98a2133b,
+    0x7ea49594, 0xe1c22563, 0xb6b27e18, 0x56420fa5, 0x5ee8b2e4, 0xf9512656, 0x77e57e43, 0xc19d7d5d,
+    0x3dc5a604, 0x6c9ae0cb, 0x48909701, 0x5be1a285, 0x125471e8, 0xbe68bc96, 0xaffa2103, 0xf760f1af,
+    0xa6855535, 0xe21322d4, 0x8bd490bb, 0xab923f10, 0x3a7f93c7, 0x9fee7efa, 0xe9c7f437, 0x26a53c70,
+    0xf348773a, 0xd5e2f14d, 0x2cb8d6a0, 0x7a2e21ec, 0x54830496, 0x8ed478b1, 0xe29cd31e, 0xc0defc04,
+    0x6fc4714d, 0x9cd3e2c0, 0xd1407b57, 0x0211e5ac, 0x6ea7af73, 0xd3c81cc9, 0xf3ce4e41, 0x8e6e5f02,
+    0xeb044e19, 0x48d25450, 0xd2599a8d, 0x58697f23, 0xb31724b0, 0x91cdf43f, 0x70969c57, 0x59a5540e,
+    0x87f611d2, 0x4258d8a7, 0x413de5c7, 0xa9f3109e, 0x943630e6, 0x9ee0c8f5, 0x14ad6422, 0x0918f8be,
+    0xccc1c31d, 0xf21b92ab, 0xd41bd764, 0x261f01f8, 0x94dc00da, 0xe1cb4b1d, 0x99428b50, 0x2eb10e8a,
+    0x68b261a4, 0x1eb324c4, 0x8456ad70, 0x529d6b8f, 0x03212809, 0xee7fd857, 0x654b0b17, 0xe3820b1d,
+    0x072e6138, 0xf246a8b5, 0xda8aac75, 0xb04bef1e, 0xc52c870b, 0xce1ae964, 0xbffe162e, 0x19eb3337,
+    0x06fbfec5, 0xfbc21992, 0x98bd46dd, 0x1e2c0ddf, 0xe357f674, 0xb1a0ba85, 0xb4ab08a8, 0xf5e2b948,
+    0xfd72a6af, 0x79ec301a, 0xefb1dede, 0x9ea6eb0f, 0x91667d9a, 0xbcafac3e, 0x51f9d9c9, 0x9f1a0ed7,
+    0xe7b4a54c, 0xafff8adc, 0xa79d7184, 0xa69c00f6, 0x5cf2d47e, 0x949da9e0, 0x87fb2f03, 0x02cc2999,
+    0x7362dc83, 0x12e687d0, 0x6b2b2f8d, 0xaf3f7520, 0xce0e6545, 0xb99f5b35, 0xd098638b, 0xa5263dfc,
+    0x1d7d97e4, 0xf8aee76e, 0x2babfc4e, 0x368fe4de, 0x7783c480, 0x51b0bb9d, 0x31e03ff4, 0x5a459f63,
+    0xada48eb8, 0x9d975622, 0xa57ad6d6, 0x682d079b, 0x71ed717c, 0x8efe4661, 0x8f00d6f4, 0x765881d8,
+    0x746abc38, 0x6a8828ce, 0xe296b48f, 0xc1e73b1d, 0x7ea6fd01, 0xb1fb6004, 0x53e3adbb, 0x46b84f32,
+    0x0aa1c6ea, 0xa37613ff, 0x276802bb, 0xef3b19f9, 0x673b9bba, 0xbd20708f, 0xaaa2e2d7, 0x4a69ca9f,
+    0xeb021f64, 0x15517a55, 0xc18718b4, 0xe0dd4757, 0x3f9ce6d6, 0x0df00e22, 0xe2933f1d, 0x9b015a21,
+    0xd916a01b, 0x4d47f879, 0xeb05ec10, 0xf4ddd181, 0xecfda9df, 0x59124857, 0x324b4664, 0xf07dbff1,
+    0x748892bf, 0x9e84dc41, 0x5ea001e2, 0xe70e7d64, 0xf434d4bd, 0x4505e4f8, 0x6b267db4, 0x84f147b3,
+    0x015551ba, 0x6128e369, 0x301b56e3, 0xcc5d5e81, 0xedc3fd8d, 0x982d554f, 0xf106e976, 0x19376583,
+    0xbef4a54d, 0x1240c04b, 0x12e31705, 0xe682aa3f, 0xba89c032, 0xc219a79c, 0x0c46cdf4, 0x5bfb4356,
+    0x6cf96c16, 0xf9e9cf7a, 0x46d88471, 0x3bdca8cf, 0x69d05fdb, 0x70cfdd50, 0xc3ab6028, 0x7aaaeb1b,
+    0x3414e49e, 0x317f4d7b, 0x012035f8, 0xef8bdf9d, 0x309fa04f, 0x5be4be43, 0xe39d43ee, 0x34cb791c,
+    0x56a91bcc, 0xacd3b886, 0xba75b79d, 0xebea477a, 0xbed258cc, 0x029bbf50, 0xeaa19c2c, 0x4efb2d4c,
+    0x246c62df, 0xbeb68d52, 0xd78b7334, 0x8d7a977c, 0xe22b6214, 0x2cce9a4f, 0x79d928c8, 0x7c54c1da,
+    0xdc684c8a, 0xd8929226, 0x1ee41dcc, 0x1684614f, 0x1c123639, 0xfbfcf254, 0x815518e9, 0x8a2f94af,
+    0x46a417ce, 0x7d15e79b, 0x5c3a4dcd, 0x9d8e0514, 0x9c01b5b1, 0x1f8d5cb4, 0x05aa1ca5, 0xc505b88c,
+    0x879d43f2, 0xc0ba0b38, 0x1debd566, 0x9d336570, 0x10dba273, 0xa994f0ca, 0x88cb4199, 0xb467d966,
+    0x3e5a08b3, 0x24b67c72, 0xca9f36a9, 0x4d81dd64, 0x84667332, 0xcf5ece77, 0x1dc090bd, 0x65f76299,
+    0x2e8635da, 0x00a9df5e, 0x4d6d8c50, 0x4cda213b, 0xf5c02982, 0x1d510f07, 0xfed81d91, 0x26342dd0,
+    0x2044e8c8, 0xf49e08b6, 0xda38bf60, 0x07fd5724, 0xd2010f86, 0x5ec7bab6, 0xbcd4e447, 0x257387de,
+    0xe4b1f63b, 0x51895a8a, 0xe75f63e7, 0xdcb326cf, 0xbd1d9b49, 0x895f4f76, 0x65f1fd5f, 0x139f0a75,
+    0xee52d674, 0xfec0b5ea, 0xeea25a8a, 0xc66b6544, 0xb8cdfc52, 0x1cafe650, 0xeba5d58f, 0xe193bb5a,
+    0xf20569fc, 0xd5145686, 0xac81b5d8, 0xaffb452a, 0xf6a3f985, 0x2c05eed5, 0x0a4e3411, 0x81d07d04,
+    0x9d5506e2, 0x5d71fa71, 0x11267be3, 0x3191eedc, 0x2cfcd420, 0x44a870c7, 0xf5a0b9a2, 0x298649c6,
+    0xb9fb88b5, 0x722d8d83, 0xa89538a9, 0x8159772a, 0x93fcc9d0, 0x630ee132, 0x63fd19dd, 0x3dc3b152,
+    0xd5599cc2, 0x98e2c005, 0x09e3dd9e, 0xed446438, 0xc6648eb3, 0x347aadfb, 0x6f74a204, 0xd8cb7c31,
+    0x7f926193, 0x2a6c2e2a, 0xee94c03b, 0x1c427271, 0x3f505fc1, 0xed6c18b6, 0xffc2c6d1, 0x1b8fddce,
+    0x9fecdf7a, 0xa57f274a, 0x9231b792, 0xb6cae4e8, 0x5a55e2ac, 0x56e28b25, 0xa1b1bf69, 0xad15d924,
+    0x32f74a40, 0x8663d488, 0x62075024, 0x31902f22, 0x4677655f, 0xda0d6aa8, 0x73361411, 0xb2913b70,
+    0xc6a15909, 0xa2b380d1, 0x017f8aac, 0x6d560d42, 0x3e944541, 0x51dbed7f, 0xd69dddd4, 0x7f5205a5,
+    0x93c8e27e, 0x87d7852a, 0xf961776e, 0x0d89fdc2, 0xf584b9c8, 0x5327574f, 0xa8cb655e, 0xac59ad18,
+    0x46317085, 0x2bc48886, 0x4cbeff97, 0xc07ef649, 0x22715492, 0xbc96d583, 0xe6e5421c, 0x2252f6db,
+    0xd192f02c, 0x464f17ba, 0x84d119b7, 0xb39c1611, 0x4df983d1, 0x276859a7, 0x508d91bf, 0x34acec95,
+    0x1c3c2998, 0x7604a27f, 0x353df613, 0xd42dbc83, 0xbd703af5, 0x4a6e8783, 0x41f0587f, 0x48ef1e7b,
+    0x3e21ab45, 0x64ef0f32, 0xe3c4bd78, 0x87c8e00b, 0x63712339, 0x23452ccd, 0x87c3cd04, 0x84ee2738,
+    0x02436619, 0x2e3e0421, 0xac68588d, 0x11ac5cfb, 0x22e5bd64, 0x4186c804, 0xf28571fe, 0x0d4d6a8a,
+    0x6ea844ff, 0x9e20b19d, 0x062d2146, 0xceeb6ed4, 0xfdc91e79, 0x9496a86a, 0x77b6cdbd, 0xd38293d5,
+    0xe4896b2c, 0x026bb703, 0x1e442e8d, 0xc493ea12, 0x1db1ad4d, 0x7abf6aa9, 0x505c4b50, 0x78d0fabf,
+    0x16da4a0d, 0xae3b9426, 0x12a6e005, 0xb2e973e6, 0x83ab9f1a, 0x40d00d74, 0x31ad184d, 0x1bd1aba3,
+    0xd74291a8, 0x501532f0, 0x82db83ae, 0x6e41f80c, 0x7f99cb8f, 0x7168b755, 0x59dea79a, 0xc81befdd,
+    0x0b7c332e, 0x4274ebbe, 0x14c3c593, 0x639e9004, 0xc7bc5809, 0x32146fcb, 0xe74f68b1, 0xade1a1fd,
+    0xeddd6969, 0x651ee945, 0xa34fb8b4, 0x32a17d06, 0xcda9f000, 0x14d9234d, 0xd4f4c05e, 0x3dc03fe0,
+    0x1ff96151, 0x2937f404, 0x755d1f03, 0xb95073b5, 0xe0eb5975, 0xba71390e, 0x752de155, 0xaf60c82b,
+    0x25f5ccf4, 0x0bf5b31a, 0xdda8590b, 0xd6fdc81d, 0xce57f50b, 0x92fe1c6d, 0x5c1eef78, 0x5206d7cf,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000001048576 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffe56caf,
+    0x00000000,
+    0xf9840f38, 0xad1ffa36, 0xa9519efc, 0x0abb2f92, 0xc6f9d80b, 0xb630b0f5, 0xa6559d32, 0x32f33a4d,
+    0x1bcd350a, 0x0533757b, 0x49060d93, 0x847ca8b3, 0x78b4d5bc, 0xb998065f, 0x33863168, 0xeabec522,
+    0xf7a00532, 0x13a0fe96, 0x3c84d0cf, 0x7c85e4a5, 0x66f7b162, 0x4a3cb290, 0xe766f033, 0x7677107c,
+    0xdf9e9dd4, 0x9df1b9b9, 0x50dc14bd, 0x7d8e6428, 0x41b083eb, 0x08594966, 0x460f2092, 0x5584853e,
+    0x722c13e5, 0xaa1a2c02, 0xd6bb5663, 0x67b0a9ad, 0xf2f84855, 0x76ddbca6, 0xc83cb8d7, 0xbc6fe6aa,
+    0x3d91bf8e, 0x67a8649d, 0x43e62a3d, 0xf5deed9a, 0x75b54d87, 0x4efbb8ed, 0x80766d8a, 0xd45bddb0,
+    0xa1793efb, 0x3ac2fc9b, 0xb87daa06, 0x8686ac98, 0x44465a2c, 0xa79a0082, 0x9752976f, 0xaf1bba4d,
+    0xfaad8aab, 0x549a58ef, 0x96f9e31e, 0xc81ac544, 0x482352a3, 0xdea3a09b, 0x85be34d1, 0x047c3f81,
+    0x5974dc0e, 0x98be5cae, 0x715aa54e, 0xed4a58c7, 0x36e60411, 0x94f37963, 0x90175a20, 0x65a97a83,
+    0xbd5827db, 0x0475b861, 0xd4a57f74, 0x8f935fe3, 0x6ee38d56, 0x095b8261, 0x953def11, 0x2a20919a,
+    0x81695138, 0xea8d24e2, 0x2009e4e7, 0x4d427946, 0x9c037ce1, 0x575329f9, 0xe0bbd343, 0x9f410ef3,
+    0xb955c443, 0x433e6567, 0xda1ea47f, 0x140438ad, 0x04ea2396, 0xed1ce9f5, 0x1d0dc46c, 0x0fcd31cd,
+    0x7fb2ad1e, 0x3a957d39, 0xb810abc5, 0x62b98d42, 0x759263e0, 0x4bfe42b3, 0x6eaa046d, 0x5756ae1f,
+    0xdd207e1e, 0xd6040cc2, 0x595c6ea6, 0x409661c4, 0x2f11b178, 0x7d96608a, 0x451e6aca, 0xfeef706c,
+    0x4ac829cc, 0xe91734ef, 0xcf450385, 0xb8a3ed15, 0x30c754cf, 0x81cde787, 0x8eb007b0, 0x1caed18f,
+    0x22e90cc9, 0x397b0442, 0xf528d366, 0xdc878bee, 0x0edb4412, 0x57b474df, 0x62f7a832, 0xec0be55a,
+    0x77ff2414, 0xb9f7abeb, 0x6ec3d43d, 0xa48d93a7, 0x591d3c29, 0x9eb9d873, 0x75b9f1b2, 0x4cce73c0,
+    0x714620b3, 0x6eb74682, 0x8d03996d, 0xd6ed6312, 0xe4029dd6, 0x8d7fd284, 0x6b7fc69f, 0x7fe56f11,
+    0x78a8a002, 0xded1c4e6, 0xb9bc1387, 0x1c3fdec6, 0x7ada4efc, 0x6932426e, 0x4b42025c, 0x8698dadb,
+    0xf2265973, 0x82059c96, 0x83619cb1, 0x2a5efbf3, 0xe3461222, 0x4b266e0e, 0x1a0918c8, 0x0a3c39de,
+    0x727f24bb, 0x2ff68aa4, 0xa35b6ac4, 0x2d13aad7, 0xabdfe6c6, 0xacf73c31, 0xaf085414, 0x5ae493fa,
+    0x3fc0721d, 0x8a3bfdf4, 0xdb2254cd, 0x9ba5b4da, 0xc6a17cbb, 0xbae48e67, 0x58fdfb5b, 0xecba7f3b,
+    0x3a5b7ba1, 0x23fc0dd8, 0x8ce608f5, 0x8c332ccf, 0x8a9c7c29, 0x47246608, 0xc1374d64, 0x5e67fc0b,
+    0x03c4a3ac, 0x0b42c5a3, 0xd10f2766, 0xa92b357c, 0x1d536d44, 0x24cc1d2f, 0x0d35438c, 0xecc11cd4,
+    0xf62a26f1, 0x25496c89, 0x1b72c461, 0x7becb3d9, 0x1d8e82c9, 0xb5b46ae5, 0x947272fa, 0x549df858,
+    0xdf372889, 0x1833c864, 0x2725c375, 0x3e8cd159, 0x2a27d747, 0xcc445d23, 0x8caada23, 0x3890de0b,
+    0xec84d911, 0xc10c9bf5, 0x91cea48a, 0x3ce212f8, 0x60706964, 0xcf60062c, 0x381aaa60, 0x3be48ec4,
+    0x2c013a52, 0x9a9cc3b3, 0xf7026d24, 0x41df5401, 0x3db562f5, 0xbd0baf4c, 0xfd994bb8, 0xfdadf183,
+    0x1e0f9f68, 0x05c5157e, 0xf5705c27, 0x2ba70412, 0x665f7b48, 0xfef2c222, 0x3ca61280, 0x196b2996,
+    0x770a0216, 0x4bce0f61, 0x6d978742, 0x78ac6491, 0x27ad3d16, 0xd2f91662, 0x3a81d9dd, 0x4540cfc6,
+    0xc5b95d3d, 0x4658b89a, 0x0a7a087e, 0xaa6f56d8, 0xbe9373c7, 0x439d02fb, 0x89d697f7, 0x1c388602,
+    0x71b0d91f, 0x518a7c45, 0x310890d0, 0xfd1aa6d9, 0x760399de, 0xf4b69a24, 0x8253bad5, 0x78a94020,
+    0xa7d334ee, 0xb84825b5, 0x5f8f58b5, 0x08c36561, 0x5d081cb0, 0x5d5011bf, 0xb997880a, 0x6e9fad22,
+    0x46dbbf23, 0xf306ab8b, 0x8855c53a, 0xac6c9772, 0x81f7e70d, 0xa2460482, 0xcf767a8c, 0x2308ea6d,
+    0x7c885f94, 0x44e34f29, 0xa7c5755d, 0x516cf689, 0x5b4da947, 0x8726bf48, 0xb689625c, 0xce236d0b,
+    0x00df9b50, 0x58bafb82, 0xa5a1e41d, 0xe8a77dbf, 0xdc0aacfd, 0x4e5a7119, 0x002a5bed, 0x6657dd65,
+    0x67e62a0f, 0xae292605, 0x2af2f47e, 0x2b72ad15, 0x1950e7cb, 0x9d82a647, 0x96487872, 0x2b622780,
+    0x59bb28a9, 0x410cfa16, 0xd67b9539, 0x30cd2a54, 0x784d00da, 0x7e5ed0ba, 0x1513ddb6, 0xb227f160,
+    0xfd90300f, 0xf1417fed, 0xc4549531, 0xf28103ab, 0xed16fa47, 0x5bd75219, 0xc14c11f4, 0x51353239,
+    0x69bfea8f, 0x66dd9a57, 0x92f4aa75, 0x642b2f10, 0x83cca18c, 0x5d06ebf1, 0x18179a09, 0xdb8e258a,
+    0x4f1921b9, 0x17bd89be, 0x4899e5d1, 0xe0389d4e, 0xc45817ef, 0x0d68b611, 0xc7bf2f37, 0xe825ca96,
+    0x7f73dad6, 0x8768dfc3, 0x357a2fa8, 0xd9c5c4b3, 0x714fdfd0, 0x27a780bf, 0xbcf546bd, 0xc3437ce5,
+    0x3883d532, 0xc1a29592, 0x75e42b2f, 0x579cc517, 0x46834bf1, 0x66074ea4, 0xb0a98dc1, 0x3ed12762,
+    0xf36746dd, 0xb85fc672, 0xfaf7bb9e, 0x05f06fe4, 0x456572d7, 0xb7d11846, 0xc4bccada, 0x6ef89620,
+    0x7bb673ed, 0x830bd940, 0x3712e017, 0x640a82f9, 0x702e0cec, 0x80f1487f, 0xbd670512, 0xe4f28e11,
+    0xf5a044f0, 0xf4ce8d25, 0x82c9fdf3, 0x31b840c1, 0xf9c96e32, 0xb6eba8ce, 0xbc9ebae5, 0x0e13ebe8,
+    0x45feb7b4, 0x8abbb91f, 0xc063c1f5, 0x5ec08481, 0x63f6a629, 0xd5f34ed8, 0x8c4319f3, 0x9c17ce88,
+    0xcc97c136, 0x0f574587, 0x10839e1a, 0x5dd30d29, 0x0653bd81, 0x25dd0d3b, 0x3e48f579, 0xb8d90a8e,
+    0xad1d721b, 0xd31fff2e, 0x42067675, 0xcd590856, 0xce60b60c, 0x4c1b5a23, 0x1355e052, 0x962a8823,
+    0x9ba31141, 0x340fc0be, 0x95de1a43, 0xcf3f1eab, 0x9990d7b1, 0x9b1914d6, 0x5415a67b, 0x3d2d7c53,
+    0xa130691e, 0x10336ffb, 0xce8d793f, 0x632e9614, 0xab244841, 0x0745ac20, 0x9798db19, 0x52604480,
+    0xa87cb9b8, 0x65f1ba1b, 0xcaddd320, 0xb19ab35b, 0xb2cb2968, 0xbf54960f, 0xb8755a73, 0x9809465d,
+    0x756e11cd, 0x33a0445a, 0xa8a64be4, 0x011572c5, 0x591af344, 0xdabdb292, 0xcda33e29, 0x27496016,
+    0x0c6bf842, 0x50022660, 0xb8e28ff7, 0x751ae451, 0xf3381f13, 0x014fb861, 0xb0aedbb6, 0x472e367c,
+    0x0cef5c0a, 0x9cff1510, 0x4631c46a, 0xd7a207df, 0x58408472, 0xdd27534e, 0x838d337e, 0xcf1d9e46,
+    0x31433738, 0xd0ebc8de, 0x2a7fc7d4, 0x2dd1a3f3, 0x6a11cb3a, 0xa624ca8f, 0xa07e8002, 0x0f9387f5,
+    0x018c0443, 0x5a489277, 0xcfe64ee1, 0x5a358171, 0xb40e7589, 0xa277d0fe, 0x7b729bf7, 0x1ecb3197,
+    0x75d3d6d6, 0x5164865f, 0x0236dda4, 0x62b1c049, 0x9e047e75, 0x1d565b4c, 0x5f4399fa, 0xecce65f0,
+    0x754631b4, 0x2f6347c3, 0xb2af93d5, 0xdf723fd2, 0x013b6290, 0xf58d0eba, 0x5b803947, 0x39ee2cfc,
+    0x4fda0563, 0x7f6686b6, 0xa3dc93e7, 0x41fcd15a, 0xbaf79e90, 0x040d4433, 0x7a9368e9, 0xdbbaf84b,
+    0xacba1dd0, 0xc3684e20, 0x10e82c03, 0x9733dd2d, 0x4834942a, 0x011ad300, 0x8b6bf2ed, 0x32d07b05,
+    0xb4bf6a07, 0x53ddfbf2, 0xc0b66f9b, 0xad290f6b, 0x3361cddb, 0x231b8659, 0x9ea698c0, 0xc1c5b4d1,
+    0x628e2248, 0x272a5e07, 0xa7b70c4b, 0x73011859, 0x833ce01c, 0x758f7a30, 0x4ae3d4dd, 0x34ea0b0d,
+    0x279a028a, 0x05ba8007, 0x2da44e21, 0x8ebe747e, 0x19a60477, 0x72fbb836, 0x57604f08, 0x827de99f,
+    0xf5c016e1, 0x06e2c5fd, 0xb736407b, 0x939419b6, 0x6dfb94d4, 0xb6f8a776, 0x98fc36c2, 0xffa98770,
+    0x8150dbe0, 0x646f8c28, 0x01639d31, 0x469fcfe4, 0x44c69ff3, 0x3bdc43d7, 0x9086e93d, 0xeeebe1ce,
+    0x1e42730a, 0x195c640e, 0xeaf49757, 0xbe289b36, 0x06f81f81, 0x0743d92b, 0xe7ae8b7c, 0x66717874,
+    0xf49b64b6, 0x0bc14306, 0xb51ac7ac, 0xe162be41, 0x86425dd0, 0xd3091126, 0x343398ec, 0x5602e168,
+    0xf0d6c122, 0x820e6b9f, 0xbb77325c, 0xfeb99d26, 0x589250b9, 0xeb48126e, 0x141ad5b1, 0x4c4fc541,
+    0xe6c9f94e, 0x0b1ec9ff, 0xddbe36cc, 0x951d30db, 0x500b87bb, 0x63bc2c6b, 0x05db2aec, 0xbbb51d48,
+    0xc464569d, 0xe57f768f, 0xaa25b904, 0xda732a53, 0xa73ee9d0, 0xeb3ad2b9, 0x4e4ccf11, 0x4fe6fb17,
+    0xdf835f6c, 0x7e6dc58d, 0xd7b346c9, 0xce7b7b02, 0xd678884a, 0x9e60bbe0, 0xb787db87, 0x38fc7fef,
+    0x2230e452, 0x7d71866e, 0x63f8c2fd, 0x565e644e, 0x1a61a742, 0x65fad019, 0x528faa7d, 0x62b22e04,
+    0x211c3129, 0x90caf181, 0x86d62c35, 0x7f2347e3, 0x8321515b, 0x8a93d098, 0xb862d37f, 0x6edde5ff,
+    0x7384cfbb, 0x552626ef, 0x891dfd47, 0x9bbe0cf5, 0x46469c4a, 0x1f67aba7, 0x6a44c5f0, 0x91fc1ac1,
+    0xc35adc6a, 0x87cbcfc1, 0x74045074, 0x99838b44, 0x34d78f08, 0x0c7f3123, 0xc9f80015, 0x1f246e61,
+    0xc910dfed, 0xc2250416, 0x44d52b30, 0xc801c300, 0x72ce5c27, 0x3485c3df, 0x67a17cf6, 0x2ec823b9,
+    0x971532d4, 0x171d75a2, 0xb26ddc43, 0x6ccbb40d, 0x223a747b, 0xd6a6fe1a, 0xfce434aa, 0x7c7ff9a6,
+    0x56ad2990, 0xcff16059, 0x050d4361, 0xc14b886b, 0x420b393d, 0xc0c891dc, 0x1944e31c, 0x29507dbd,
+    0xd94f158f, 0x1e167e28, 0x53c15335, 0x3745d202, 0x476adac8, 0x171808cf, 0xff0b78ea, 0xe7221800,
+    0xdb2b3c5e, 0x785e3db1, 0xb2eaef73, 0xb6ec0829, 0x3060d85f, 0xa3e46a1e, 0x685f8d9d, 0x1412bf88,
+    0xa1cea7c8, 0xc285def5, 0xae649d27, 0x50df2324, 0xfce52d96, 0xbe2216c7, 0x4adf46b8, 0x804b380b,
+    0xbd1e05e6, 0x0f5c5434, 0x83e9d5f9, 0xd9441168, 0xdea67cf5, 0x0342e259, 0xfab45167, 0xe6c31680,
+    0x6e0216fd, 0xfb680df1, 0x2e4c461d, 0xfb34c900, 0xe60ad427, 0x9c0dc36a, 0x83773d69, 0x2a0a1070,
+    0x94e5ab15, 0x4b64e7eb, 0x6ce9977a, 0x05e9adc7, 0x6c5e6511, 0xbd69defc, 0x702bd896, 0x981d17ee,
+    0xf570f84e, 0xc651679a, 0x08220ab1, 0x1c071f3b, 0x580627b8, 0x7c3c3332, 0x33101e1a, 0xd371578d,
+    0x033956d0, 0x511793b6, 0xcea9e3fe, 0xdcbb511a, 0x9ef43859, 0xd0e60884, 0x4f2b8ad4, 0xf7e53463,
+    0xd58e93f0, 0xd4419109, 0x6fefad0f, 0xcf68516b, 0x0764221e, 0x093f41bf, 0xaff4c346, 0x03431397,
+    0x2d1b3fc1, 0xeadfae10, 0xc7c004d7, 0x3526bbe9, 0x39672494, 0xc277bf48, 0x329ec3e5, 0x0e07d357,
+    0x16a284ab, 0xcc43954a, 0x59fc00b1, 0x37c91b10, 0xb4bc85b7, 0xc41ca2b4, 0x70f76ec8, 0x70ee4055,
+    0x44e78ac2, 0x98ef0597, 0x96f3a584, 0xf9b8ce7b, 0x8d52fbdb, 0x9a7532e1, 0xaf929b00, 0x6043510b,
+    0x07b453ef, 0xc604cfe7, 0x6b726a8a, 0x5bad7561, 0x2b4405cc, 0xe4a48b56, 0x2544e45f, 0x9a382d88,
+    0x06bbfec2, 0x1276b8d3, 0xbc0bdd0b, 0x88e4f470, 0x17decf24, 0x6b90beba, 0xac1086e4, 0x1f32c583,
+    0x1ba0712c, 0x92d10969, 0xa1d050da, 0x4319b134, 0x5186ddeb, 0xf7bc699a, 0xe74b55b0, 0x6b724219,
+    0xb44d94b3, 0xd00436b2, 0x8deffb0a, 0x78278baf, 0xa3fac676, 0x17fb4784, 0x64c6202e, 0x83cdd1cc,
+    0x2f11c3ce, 0x009e1c42, 0x405f202b, 0xf3f3577c, 0x2fcbc949, 0xf816dfa0, 0xa077d689, 0xe71256d7,
+    0x32b905aa, 0xa1566c1d, 0x11c1b207, 0x3c18b8ee, 0x2065ba75, 0x9623852d, 0x1e76a867, 0x48089435,
+    0x7ba0b8c3, 0xe2255228, 0xcc55626c, 0xad41e38a, 0x07ca4a59, 0x95be723d, 0xee1afd74, 0x585057ab,
+    0xcb0c9d32, 0xcb5f0ece, 0x807b063d, 0x14cbdb12, 0x272f7060, 0x7200768c, 0x6d6fb349, 0xe7a9452a,
+    0x707aa394, 0x5e25e3bf, 0x8575a53d, 0x73d2154b, 0xb7baf55f, 0x2c14b718, 0xbb8faa00, 0x525b30e5,
+    0x620df0dc, 0x44b91e1d, 0x9a8b9d5c, 0xf2a7af30, 0x58beac68, 0xe000509d, 0x25d3d90a, 0x3f74146e,
+    0x84006f9a, 0x49ed63b3, 0xd7f77915, 0x711b0fa7, 0xe7f650b9, 0x3de197d7, 0xa70eb18f, 0xfa7cad92,
+    0x1cca5575, 0x8ce29837, 0x4c7955d0, 0xc10f6906, 0x408df53e, 0xe7f5a116, 0xfe7e849a, 0x5ea0a9aa,
+    0xca5e8ed5, 0x3ff4b62b, 0xe791e02c, 0xa0191f70, 0x66b8f4d3, 0x18bf5e58, 0x8f197a58, 0x0d8a5906,
+    0x6066096f, 0x450483e1, 0xdf1aa4db, 0x04a891dd, 0x32a0dcc4, 0x0668ef3a, 0xe1a9766d, 0x9828ffed,
+    0xad8599b9, 0x34e5b30f, 0xc92ba289, 0x69196ce1, 0x8c7a0dc6, 0x6125f77b, 0xf188b65d, 0x56ec5aa6,
+    0xc4dac0a1, 0x4788aec1, 0xf16d1d69, 0x43cd6cef, 0x3b16c013, 0x27ba1a04, 0x047a6016, 0xbfc7d3de,
+    0x1cef7342, 0xe48d51da, 0x8834df62, 0x0bb9b1bb, 0xb5e0998f, 0x2bc3173a, 0x9fb93231, 0xf680d820,
+    0xdf2ba776, 0xfe92422f, 0x51d92a7c, 0x5b9e81c7, 0xa168a481, 0xa8eee11f, 0xf854b717, 0xa43c538b,
+    0x3e88ec7f, 0xc3311a71, 0x88fba8e8, 0xe268f11f, 0xb763cd82, 0x9bedf15c, 0x0efa337a, 0x04ef7655,
+    0xc2debc6b, 0xbf0e977c, 0x4d666721, 0xc9459662, 0xaae9c07d, 0xbac2ebf8, 0x720830e9, 0x8ae5dca4,
+    0x8861f4e5, 0x6312df2a, 0xd187850e, 0x86eaa43a, 0x3a8e9921, 0x61251bc5, 0xeff9dcf8, 0xb2f7d69b,
+    0xf4aea883, 0x41c3c608, 0xe12ebe6b, 0x41ad4a79, 0xce45957a, 0x93c86929, 0xf59f6ec8, 0xaa50edd8,
+    0xf0d02552, 0xc0835679, 0xecddec34, 0xf4f407b9, 0xb7185a44, 0xc72c0aa1, 0x335a1d02, 0xf74442b9,
+    0xe2470ac1, 0x377f7ea9, 0xb638bfc8, 0xf740bf10, 0xd4a5f220, 0xd05191d6, 0x7eec97f6, 0x2ca68f5e,
+    0x19bdcbee, 0xf453bb0b, 0x62c3474b, 0x855419dd, 0x467e6ae7, 0x76bb5368, 0xf5468674, 0x4f8cde3c,
+    0x2821b82f, 0x99f34b6a, 0x17f82f98, 0x62e56857, 0xc4527b2d, 0x78821586, 0xa5dd00b8, 0x2ccc9bf2,
+    0x7435c805, 0xd67d26d4, 0xa62fc7dc, 0x4b9ccd31, 0x1d95ac51, 0xd5dc9289, 0x2fc0275a, 0xcc759a51,
+    0x0408f510, 0x49be0695, 0xb50d5882, 0xea0ecdfc, 0x6f0ec6ac, 0x5c1db0a1, 0x5c05508b, 0xe4694965,
+    0xe3e27331, 0x619167e8, 0xc058eb0c, 0x9ffd77ab, 0xd520f583, 0xc495d64a, 0x70c3eb27, 0x322a8592,
+    0xf54ae09a, 0x2625ca7c, 0xddad7163, 0x18ad158f, 0xcedcd8c3, 0xfa6569f9, 0x3f0df3b7, 0xb81d7876,
+    0x96acf016, 0x1d0477de, 0xbf0ce2c7, 0x553598c2, 0x13b8bc4e, 0xc7bb51bf, 0xbcd88fa9, 0x7e343403,
+    0x2c1bfa10, 0x4952d9fd, 0x5594dc2a, 0xa6020c76, 0xedd7d6a6, 0x4d3c8a60, 0xd30c2ad3, 0xba41cc30,
+    0x87aea69e, 0x7099d613, 0x2db6e2ab, 0x99282a6b, 0x9d8fbe57, 0x905f1ed4, 0xe26d2d78, 0xf2768748,
+    0x8413b5a0, 0x77ecba03, 0x8f34bd92, 0x987c9f89, 0xe03d06d4, 0x7298b822, 0x22a97e61, 0x681f55fc,
+    0x1688f8ac, 0x9b4af487, 0xee3f5f4f, 0x92a9a07a, 0xd05db2c6, 0x6cdd2f73, 0x5ad22c9c, 0x04df284c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000524288 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff2b657,
+    0x00000000,
+    0xb2b64ef1, 0x9d3f7af4, 0xc34ec2f1, 0x01cf3b1e, 0x4b17aa38, 0x482448ca, 0xee919160, 0x6531f7d5,
+    0xbdc54d6b, 0x86351fd6, 0x3d261d33, 0x5adec36e, 0x6c131d93, 0x6cdca200, 0x6c81d64a, 0x73ddb6d3,
+    0xf54bbb4f, 0x65fe5ced, 0x68cf27fc, 0x33dff257, 0xa2ff6a5f, 0xd929471c, 0x9ad84a59, 0x515c2afd,
+    0x7248749e, 0xa4b92c53, 0xea2eda35, 0xa376b768, 0x27db40c6, 0x45ff295d, 0xe413d640, 0xb9523408,
+    0xd9e9bd4a, 0xb28a6f30, 0x5bac43fc, 0x3ec9021b, 0xf6c2bd3c, 0x4748a9a8, 0x1bebe6d9, 0x97148658,
+    0x84f62c9f, 0x46f29548, 0x9cc7510c, 0xce445a0b, 0x3a2717b0, 0x52290b7e, 0xef21cd9f, 0xa67ed84a,
+    0x51033e8a, 0x2ca19384, 0x90da46dc, 0x70cc6ffc, 0xb39d31dd, 0x3bfd2448, 0x273caee8, 0xcae73e99,
+    0x15ee2c52, 0x5e4df4cc, 0xc749e38b, 0x63d67f70, 0xe4470c18, 0x07b3db8b, 0x39c6eeb9, 0x5d829571,
+    0x540a5093, 0x21383578, 0xd6c2beed, 0x6c434943, 0x2d477bf6, 0x94babf5f, 0xd76e90e3, 0x2760bc18,
+    0xbef6b44a, 0xcb1d4301, 0xaf275566, 0x502300f0, 0x19dad497, 0xb5ac5c2f, 0xe0feae17, 0xf8eb5135,
+    0x587bdd70, 0xeed4207b, 0x4e346509, 0xffd9dd14, 0x9c318a3b, 0xda1e62cb, 0x3f24235b, 0x1f42adfa,
+    0x3f2da6ae, 0x2e008457, 0x9878d617, 0x6c6f7265, 0x21c683a3, 0x55b45c59, 0x55baed06, 0xd46521b0,
+    0xee1afda0, 0x95f47341, 0x31e02903, 0xb81d6976, 0x2f814458, 0xff7f5174, 0x1801cc9d, 0x9cb68101,
+    0x2a401726, 0x1c6ddbc6, 0xa47eb506, 0x5ea31be5, 0x4c272467, 0x7a57d409, 0xa46a3781, 0x59901801,
+    0x8936b7c4, 0x437710e8, 0x553e7169, 0x090f6dc1, 0x25e2751e, 0x0cbc3b94, 0x25ac1e4a, 0xe0178e42,
+    0x36ade123, 0xa79be8a0, 0xc8ada2a7, 0x862f26d6, 0x9c0e58c1, 0x215a4a10, 0x9adfb394, 0x8535cd08,
+    0x829a5a75, 0x2a0bdfd0, 0xbb23ca59, 0xed1d93bc, 0xd143cbe3, 0x07ed5ee0, 0x9ff589c3, 0x91a5a2d1,
+    0x18f18585, 0x0e4c79e1, 0x4c24ac58, 0xfe679e93, 0x133faf40, 0x4b5406f3, 0x439463a2, 0xd6e0024a,
+    0x52987af0, 0x801d7e5a, 0x69700439, 0x2d8e3212, 0x3a27328b, 0x3547f260, 0xa369cd7a, 0x3e16a11c,
+    0x9ed39227, 0x30fb8d99, 0x72f9a198, 0x3a1b8ab2, 0x5417e680, 0x852dfe77, 0xc244d902, 0x8c5f25bd,
+    0x2a0682e8, 0xcb92d7ff, 0xa5aa4a10, 0xd117da3e, 0x15ae6e4d, 0xc860d50d, 0x96c922e8, 0xbc7d1616,
+    0x307db8e7, 0xc7b7a04f, 0x29e45f77, 0x79bac5ae, 0x3968fd34, 0xe47ba3d1, 0xbfb4a424, 0x31270c6a,
+    0xdb810f35, 0xd890a29f, 0x4479966d, 0x99c3bffa, 0xcd923b2b, 0x6debb519, 0xb5a26ede, 0x665fc662,
+    0xe8b0a5df, 0x55b11d0a, 0xfe25fea9, 0x70eb8af6, 0x63de552a, 0xfa85e41f, 0x1a52025e, 0x9376d322,
+    0x688e8e54, 0x2817585d, 0x0f9014cb, 0x15228306, 0xf3dd808d, 0xe9c74c1c, 0x37c66393, 0x87c8205d,
+    0x5eb57135, 0x3d2c763f, 0xefa109e0, 0x0923747a, 0x256b4106, 0x9d760020, 0x2590a9c4, 0x1f60fcda,
+    0xe5d4bb98, 0x45977ff4, 0x90dd07fd, 0x94797c5a, 0xe60395a9, 0x960deb9f, 0xb95d5dca, 0x685df0ff,
+    0xff845fac, 0x923ef434, 0x10cbd37c, 0xd0f3da4c, 0x8990f31e, 0x3431b018, 0x9e8628f7, 0xa1522b6e,
+    0xd715a1f7, 0xba04f534, 0xd508bb32, 0x57006163, 0x338ccb67, 0xeb7fc00d, 0xc62efd6c, 0x45ff1826,
+    0x2869194c, 0x6ae62c6a, 0xc161817b, 0x97335e41, 0xc26a7040, 0x4fd2ebba, 0xdbd2b477, 0x60849ac1,
+    0x88e2a462, 0x72351731, 0xb6d6c757, 0x629ca036, 0x0dbb6932, 0xf2a228fb, 0xc0c085a4, 0x886f78d7,
+    0xbb6ea57e, 0x61c3b46c, 0xb8394a45, 0xbe2f21b8, 0xda10bfbe, 0xda16e223, 0xddc8e2b7, 0x28aa7aed,
+    0x31c9facc, 0x59b2fdad, 0xae6ef497, 0x0b9b420d, 0x5b04e376, 0xe2d5d1b5, 0xb868517b, 0xd2a7cb94,
+    0x62e55819, 0x2dfd0987, 0xcb7c2b7f, 0xdba90b9a, 0x4b30f32e, 0xb9234564, 0x29f91ca1, 0x9a1e1c9a,
+    0xc4d2974d, 0x3f2fdb5b, 0xc7fca6b9, 0x3dc33b6b, 0xc061a996, 0xc2d64533, 0x378c9122, 0x42f84161,
+    0x50652d7b, 0xed113459, 0x34a70fb6, 0x2e205840, 0x5159c0f1, 0x6807f35f, 0x0bbf0ea5, 0x7803d801,
+    0x42426fbd, 0xb1f82a53, 0xb69d9ee1, 0x92831500, 0x82b4335e, 0x5ed29bd6, 0x1b69572c, 0x159e1ef6,
+    0x4c9a28bd, 0x4349bc2e, 0xd28807bc, 0x32d78e1d, 0xd5dc8b05, 0x336b0c5f, 0xe6287976, 0xcf3c40d2,
+    0x3e170919, 0xcbf770b1, 0xe743fc15, 0x31a0119d, 0x5d5fd611, 0xda27f116, 0xafa24105, 0x58a4a1a2,
+    0x669568c6, 0x898974b6, 0x2fbd1e10, 0xf81a0438, 0xfc1c0328, 0xb1e24d76, 0x2bf3529a, 0xbdd62d3f,
+    0x3297d863, 0x1c98a9c6, 0x98118827, 0x7cb28bd2, 0x230d43b3, 0x8ec4cacc, 0xc7b21d1a, 0xf3056ba3,
+    0x7781c73d, 0xb8b79e66, 0x49cf2c48, 0x52123b50, 0x4c659a1f, 0xe10354cf, 0xff3bc243, 0xa3e9860a,
+    0x73ae2620, 0xd247686b, 0xf8a6f47e, 0x4b48ba71, 0xa3b4b7fd, 0x40a4690d, 0xbd61228e, 0xa3a9a7c2,
+    0x4d7fcc25, 0x6a6d56ce, 0x5e73a7c0, 0xad0831ea, 0x40743111, 0x2cab788a, 0x3aba327e, 0xf70b6c14,
+    0x1efe909e, 0x1542af19, 0xb3874fa6, 0xb58441db, 0x66eb6eec, 0xd9f3a340, 0xdd59a9b1, 0x18b4c64d,
+    0x3acb06a8, 0x6b1d9e6a, 0x00b87420, 0x19e9f2e2, 0x63cd37ea, 0xb2841332, 0x1ed15db6, 0x3c70ebe6,
+    0x1da9b908, 0xffbef4b1, 0x30ddc299, 0x672111c1, 0x734cc24c, 0x954bf9dd, 0x1e2bf255, 0x16fd60f0,
+    0x46e4c092, 0x1d5dbd40, 0x8ab43d9a, 0x5101db69, 0xd5150337, 0x07604d13, 0xc32e1ed7, 0xc3af4897,
+    0xcefa4dd4, 0xbe7c44dc, 0x88f9ae09, 0xf567c0c2, 0xb136dcba, 0x280d3312, 0x8d8d7f7b, 0xcfa8c63c,
+    0xf140a0dd, 0xdac2b18d, 0xef05dbeb, 0x03f582c0, 0x33ce5ec8, 0x746c74c8, 0xd7568e00, 0x159bb12b,
+    0x13aab055, 0xc8965c44, 0x553b9d17, 0x85985c80, 0x1255b58a, 0x04865567, 0x44b5b403, 0x648e1c7d,
+    0x2d6677fb, 0x8e19513e, 0x7e4354fe, 0x916f44ff, 0xa1c77a63, 0xbe77d131, 0x4bde2729, 0x37a3cc79,
+    0xc7561a74, 0xbaa5eb3b, 0xffdc23e6, 0x62577d91, 0xac1a228f, 0x80368206, 0xebe522b2, 0x42a59a3b,
+    0x77791886, 0xd2f23aac, 0x0650c19e, 0x424205b8, 0xa79a0172, 0xa9026312, 0xc91dbf65, 0xcf85ebce,
+    0x1f4066f1, 0x3b7965cc, 0x7e6bdfbd, 0x3e79c418, 0x55b6e571, 0xd22fa1b7, 0xb599c92f, 0xe01dbca3,
+    0x111281f3, 0xbbfd7763, 0xbe010c16, 0x1b821f74, 0xf64bf9ef, 0x9a2dbf33, 0xc8ec2d5c, 0xbd9c015a,
+    0x0a0f35ff, 0x02a4dc5b, 0x833deed9, 0xa84e9b26, 0x01314634, 0x9ca8e65b, 0x25458942, 0x1a92662f,
+    0x05905cb9, 0x9af0d1ea, 0x812fe9e0, 0x2851a482, 0x28a43b8d, 0x223b52eb, 0x53bc39aa, 0x113bce50,
+    0x24e0090c, 0xbf300e49, 0xc911d967, 0x2e25209a, 0x2330eec5, 0x53c6a0a5, 0xda9d66eb, 0x1da71acc,
+    0x2bf17130, 0x3a1593ef, 0x319966b3, 0xc5e7f504, 0x5c916eac, 0x840d7dc8, 0xfb9d4988, 0x991a7b85,
+    0x1966edbc, 0x886e314a, 0x50f6b9ca, 0x0f2ca314, 0xe81355b9, 0x0d9d5288, 0x9978db87, 0xdb0e0530,
+    0xed9ab946, 0x6d820b5b, 0x2d46d733, 0x38878617, 0x07d6a11a, 0x294b4004, 0x3211560c, 0x9158b5c4,
+    0xb4db3498, 0x0a3d28e5, 0xd7590b46, 0xdf7b9596, 0xe1b4c4f5, 0xa11ca3b5, 0x994cb8f0, 0x46139c52,
+    0x2d429112, 0xd30011c5, 0x37933f9f, 0xac52f5e1, 0x22cec106, 0xd44d6aa2, 0xe96e3987, 0x46e4676b,
+    0x4d4d41a3, 0xfee510eb, 0xce3c73ef, 0x6ff04982, 0x06765e2b, 0x8d528e9c, 0x80606683, 0x6d2bb15a,
+    0x2b8faf7b, 0x1bf97c87, 0x3413b3d5, 0xdb609be4, 0x8fd7f657, 0xf72be165, 0x8336e301, 0xba08afe6,
+    0xa8e04a77, 0x81c6e831, 0xb83df01f, 0x6b87f6b8, 0x30a977fa, 0x9982581b, 0xb97858c8, 0xcb606ba7,
+    0x92eda0a8, 0x1cf1e751, 0x23d1d28a, 0x3df1f326, 0x1a0d357f, 0x4e16540b, 0x8384eef8, 0x834fd984,
+    0x7cbb3da8, 0x38c03358, 0x14aba435, 0x3a5a3e9b, 0x551d8445, 0x6fc1ec13, 0x3600da7f, 0x6e2e46ea,
+    0x249421cd, 0x43e5e9a7, 0xf835f48f, 0x82ab15be, 0xeb55b636, 0xdcbc8988, 0x27f908ea, 0x654d7a07,
+    0x3a07b54b, 0x08fa46eb, 0x620daaeb, 0xd10267f3, 0x54b3a90d, 0x352722da, 0xd3eebce1, 0x275141ad,
+    0x9acfccf3, 0x663d7ee2, 0xa5485de8, 0x7b4f3031, 0x26df0f5c, 0xeba5fbe6, 0xf5044489, 0xac3af6ca,
+    0xbed37a84, 0xdf1cc7d2, 0xafd897ae, 0xf9bd225d, 0x00b38f52, 0x4ed8e4f4, 0x4843c579, 0xde0aedb4,
+    0x6c5c52ec, 0xe2ab563f, 0xd2f39821, 0x29796460, 0xc22c8056, 0xbe26a7ea, 0xf75cba72, 0xb3c7c9c8,
+    0xf4bba4cf, 0x14125fcc, 0x227b43b1, 0x5d40e957, 0x516ec922, 0x8152518b, 0x52347a59, 0x1f15b166,
+    0xcb2ce498, 0x31108d00, 0xe7a0db50, 0x95098434, 0xd520daa1, 0xe0edeae7, 0x06d648ab, 0xd7ddfdce,
+    0x69d0a1b7, 0x3df4de26, 0xa8288875, 0x3369a77d, 0xd879b4ba, 0xaa32c388, 0x1cb3e067, 0xb6ceb03d,
+    0x8af03c1f, 0xbb040485, 0x65116581, 0xc05122f3, 0x9a77c728, 0xf3fd5e77, 0x6bd51ccc, 0x5d52ff60,
+    0x85141285, 0x1654af94, 0x4914d821, 0xa037d7f2, 0xfc4813f9, 0x0ed6b208, 0xe70b454a, 0xca28b94a,
+    0x25b635bc, 0xed20913a, 0x410591f7, 0xbb002bca, 0x5261d728, 0xe3f20766, 0xc71aa918, 0x00cede47,
+    0xc9709e70, 0x2905c362, 0x241bbc9b, 0xb21e6018, 0x4de7ab96, 0x9dfe8324, 0xf7331b34, 0x24297dea,
+    0x51edd736, 0xf86a7937, 0x769f91aa, 0xac800004, 0xf9243c9f, 0x6eef89f2, 0x5cdf807b, 0x80e1c746,
+    0xfc62bae2, 0xf79d18db, 0x8b22d0fe, 0x57db2d3b, 0xaf992f62, 0x3a7f5fda, 0xcd79cf8f, 0xf7d86a58,
+    0x6df5a3c4, 0xd55c3315, 0x60ac8f3f, 0x0b1528b1, 0xc728f311, 0x658499d7, 0x4c672ced, 0x9385d6b2,
+    0x8198f43d, 0xe44214ed, 0x728733d5, 0x723f2f0e, 0x9e93a095, 0xa36d9c1f, 0xea8771da, 0xa8e73970,
+    0x82f698ec, 0x514ae758, 0xc4d01b8a, 0x5a7fa35d, 0xb3d3bd3c, 0x2d2ec90c, 0x5b65d092, 0x122912ce,
+    0x26ff57fc, 0xe4fa811b, 0x7378baeb, 0x8de4491a, 0x43e046c5, 0x033f8d51, 0x0d40db09, 0x5c4af04f,
+    0x749d2aa2, 0xb401cdef, 0x18d59d47, 0x02ad5baf, 0x68d50c03, 0x9353e799, 0xfbc88a16, 0xd8c55113,
+    0x4d679ecb, 0x5d0c6306, 0xdff04416, 0xc35bac88, 0x1477af21, 0xf9753191, 0xa547632b, 0x7003a744,
+    0xff62f0dc, 0xc9d32bb1, 0x16b49298, 0xe118802a, 0x31e2cbad, 0x823d87ba, 0x172b397e, 0x4ff5ee7c,
+    0xe6dcbb0c, 0x51414734, 0x65c573b5, 0x31384682, 0x9d434134, 0xc6476eff, 0x357b6f1b, 0x0c5ca43b,
+    0x57cc2959, 0xdbc9e5c8, 0x71438d9f, 0xcb358288, 0x36af1636, 0x0406121a, 0x4abf7c36, 0xab8cfa40,
+    0x66915157, 0x4841556d, 0xf636514f, 0xa386dcc7, 0xf36b2a83, 0x2da7017e, 0x7ce18517, 0x90169997,
+    0xa6905cbd, 0xe0d05ed6, 0x47f058ac, 0xee086a20, 0x9ff84225, 0xad5cb7bb, 0x09c57b1e, 0xec4d104f,
+    0x93a99e37, 0x5ea14954, 0xa7ff52b2, 0xe15e4a37, 0xcef2d712, 0xfb9c6ba2, 0x055b4a48, 0xc5c2370c,
+    0x24112828, 0x0f9db95f, 0xf0bbea23, 0xe39ecf67, 0x9a6248b6, 0x0763e22a, 0x4e098c4f, 0x13ede9c5,
+    0x0514275d, 0x7c9d4191, 0xd0f3a2f4, 0x1d00488e, 0xd3855859, 0x79147fdf, 0x5778fd07, 0x61dbd67e,
+    0xd057c53d, 0x36836bea, 0x5d7ed529, 0x22c3972f, 0x283a61d9, 0x187b9e48, 0x29da3609, 0x572933ac,
+    0xabc52b5d, 0xb94d21d2, 0x5bf77e78, 0x68adbcfa, 0x79a4e527, 0x30142191, 0xa96456c8, 0xd772d5a0,
+    0x8b7cc06b, 0xbd4d3b9d, 0x6d90e49d, 0x3ed4b52e, 0x381737e7, 0xc4a4a005, 0xae718aca, 0x2238e89f,
+    0xc0d396e3, 0x58f9e546, 0x7633dec1, 0xef408e43, 0xe0e30284, 0xf8b4f981, 0xcf5dee71, 0xccd87cbf,
+    0xaf3508fb, 0xfbb2dcdf, 0x56649720, 0xcb704b5a, 0x447669d1, 0xcbecc26b, 0xc6bc8508, 0x1ba07854,
+    0x5e1b94ed, 0x011c1dae, 0xcde77d10, 0x70d34e5d, 0x41c0ed1c, 0xc29d476d, 0xf05a7a3c, 0xf88b2de6,
+    0x181259d6, 0x622b2c27, 0xf7dee96c, 0x9d8edbdd, 0x45c7fb5c, 0xc559c065, 0x9c4de51e, 0xe3f83a10,
+    0xb713e7f6, 0xfa87d78b, 0xe169387c, 0xe4b3b25a, 0xe7817ad0, 0xf8b7efc2, 0x3b7c18b5, 0x91d0b918,
+    0x6e2d53ee, 0x9bec1380, 0x0f25fbea, 0xb0f0b28c, 0xa168dc56, 0xdd9575d5, 0xcbf7a46f, 0x615a4dec,
+    0x2b75159e, 0xcad2b561, 0xbc9f7e33, 0xc253e40f, 0x75ce981e, 0xbc549659, 0xe27f9cce, 0x176da044,
+    0xd597f3e7, 0xd6bc8e3f, 0x256ee653, 0x5bda0754, 0x6277b6a1, 0x34569b9a, 0x13618f9c, 0xa644ce25,
+    0x9d2d8177, 0xbfd116c0, 0x80c6f59a, 0x63a844e9, 0xa8f10053, 0x5897c3f4, 0x91c617a6, 0x875892ae,
+    0xfd0429ee, 0xb7398b41, 0x8b97dbe2, 0xee0398e0, 0x42aa2495, 0x9e402ec6, 0x549bf7be, 0x5a356a16,
+    0x1be2c0f2, 0x958d3d71, 0x52a8f702, 0xca34d7bd, 0x197e2f28, 0xfafecc47, 0xba9db44a, 0x1754c243,
+    0xfa6ea32c, 0x66646ff8, 0x56919513, 0xd53d0f5e, 0xda35d2b5, 0x493e534f, 0xfa7d30d4, 0x4bfea2a9,
+    0x8e25503d, 0x923627b2, 0xb6be6edd, 0x85d080f0, 0xdc046f02, 0xa21f9229, 0x96d3e3e6, 0xaaed6e79,
+    0x406c8efe, 0x20613551, 0xaa1d67e9, 0xe6df1c1c, 0x7b468ae7, 0xbda81781, 0xa7823954, 0x7dd0513c,
+    0x2259f850, 0xe03b303e, 0xe52f4d29, 0x91baf343, 0x4bf94a8b, 0x5a30e6b5, 0x7a91bb05, 0x2882c4d8,
+    0xd61019ae, 0x6fc2590e, 0x05894ad3, 0x7a7a7156, 0x1ec69522, 0xfbccd7c4, 0xefaf4feb, 0xb05d1e1a,
+    0x221a3d10, 0x14a16444, 0x94d9c363, 0x35858267, 0x2d305635, 0x8c57abe5, 0x488fe36f, 0x8710cb33,
+    0xba5179ad, 0xee9fd4a9, 0xcf43d302, 0xc2e514be, 0xe1bd119e, 0x8456b819, 0x88599801, 0x4980b60e,
+    0x7c8658c5, 0xb011228a, 0x89773b55, 0x8393307a, 0x8917ca8a, 0x9f1ef5e3, 0xadb21bb5, 0x1dc504a4,
+    0x5c52f0e5, 0x28962a20, 0xc4ab5abf, 0x0ec80bf4, 0xe184dd35, 0xe56e10c4, 0xfe8fddad, 0x597b0d90,
+    0xf6c52b9e, 0x58d3b63d, 0xd8d17d7c, 0xc45afa49, 0xd12bfc04, 0x2a9d6926, 0x7e90df56, 0x49b4128c,
+    0xdfc82d0c, 0x9fc5d60c, 0x7624ecf7, 0x60e7085c, 0xb050b3ec, 0x0afa46ff, 0xd3e9d6e9, 0x8ad88a81,
+    0x5827a763, 0x9eb15bf7, 0x830b1f34, 0x9f8c92f3, 0x55e3ee99, 0x894a417e, 0x224890d5, 0x0c86e749,
+    0xb84c9353, 0x6f02224a, 0x5e90c8c1, 0x5c5979c0, 0x39852a44, 0x1a510f8c, 0x84002a64, 0x6d8b6975,
+    0x50e2031e, 0x03f42ecd, 0x9ec6f802, 0x600e5c3a, 0x8d8252af, 0x448aa83a, 0x313b2880, 0xf3071401,
+    0xaf0b011a, 0x0182ed94, 0x20b1ff46, 0xb3c0b74f, 0x75c06133, 0x76e30b23, 0x28ae5f7d, 0x58d00a18,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000262144 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfff95b2b,
+    0x00000000,
+    0x973ecee3, 0x21687655, 0x58600399, 0x8e195e6d, 0xfb30d3b4, 0x168e9301, 0xfec838f9, 0xb5d01eac,
+    0x6c03ed24, 0xbfa41e54, 0x2090f835, 0x7dc75bc3, 0x32193881, 0x38d6228f, 0x19fba1df, 0xefcc545c,
+    0x93d7eb61, 0xa9bdf612, 0x663d0c8f, 0xbb3343af, 0x44d55f83, 0x0a398cc9, 0x758eba53, 0xc22ede3e,
+    0x14fed527, 0xd97b1add, 0x2e5310ec, 0xc5e38342, 0x420b7862, 0xe5375369, 0xdfec41f6, 0x8336752e,
+    0x35f6c234, 0x8302a8ef, 0xa72f337e, 0x6608e585, 0x7a35945c, 0x2a230ea9, 0xf5d7f999, 0xa30b8dfe,
+    0xf09e139f, 0xa0fc59d4, 0xe107ac05, 0xc71f9814, 0x1f2c039e, 0x47ffd7e7, 0xf3abddb5, 0x787d5b2c,
+    0x8df92e1b, 0x3886f3b6, 0x157cfb41, 0x6e08deda, 0x8b1110b2, 0x13dacfd9, 0xd28f29be, 0x0d7ac20b,
+    0xcdf3f56e, 0x64a154fd, 0x98dab2a0, 0xcf2cf4f3, 0x536da62e, 0x7fb73813, 0x39ade15a, 0xf4218b81,
+    0x317950e9, 0x556b13c8, 0xd0f1fee3, 0xed325b45, 0x3e9b3954, 0xc185a02a, 0x5ae863b2, 0x096b526d,
+    0x905bbceb, 0x4e31ec0a, 0xce90551a, 0xed5eee4a, 0x6b9e190f, 0x56365818, 0x092d1641, 0x747f46f8,
+    0x08a5a212, 0x56864ef0, 0xf59fe509, 0x4539d032, 0x0ecd70be, 0x8c042b56, 0x90b3c473, 0x9394340e,
+    0x8a3070db, 0x9224d41a, 0x59d96785, 0x45b9b9a2, 0x686e1ea5, 0xf4040f40, 0x654ebac8, 0x7efe35d1,
+    0xefa50321, 0x4c1f288f, 0x6e237f37, 0xa484bdcb, 0x61193322, 0x26b226c5, 0xf4306ae8, 0x1ae5dff6,
+    0x9e36b4d9, 0xf70bdc40, 0x0837a2c4, 0x2ad0fa29, 0x1cc1160a, 0x95128d00, 0x54c155bc, 0x3febea39,
+    0xd42dbf66, 0x404dddd2, 0xfd5cd63d, 0x6e19b78b, 0x23d15f2f, 0x24ec91c9, 0xd698bf51, 0x8c7e6702,
+    0xf99c10a4, 0xc06c8e30, 0xc6a4d625, 0xe5327cba, 0xd5e71fd0, 0x54ca0d05, 0x1f744042, 0x2d781dbe,
+    0x633f138f, 0x3e63e0ab, 0x812be5c0, 0x21058c30, 0xbe614134, 0xbad1f69d, 0x2c02188b, 0x0ed4336c,
+    0x56710187, 0xcb7a7f88, 0xeb4cffc2, 0xae17eb3e, 0xccd79507, 0xf903042c, 0xcf9587ed, 0x10a2a15a,
+    0x259ee9f0, 0x3c384edb, 0x549532ce, 0x88909b10, 0x62c4f3ff, 0xa7ce9819, 0x2d98a525, 0xd25ede30,
+    0xd3109877, 0xbb7f1551, 0xf4e8a1be, 0xb53b09e9, 0xfa193578, 0x220e0c8a, 0xd0ed4852, 0xb6334a25,
+    0xc4983c7d, 0xdf4f9dfa, 0x7cdf2d3c, 0xf2ecbfda, 0x900f1b3f, 0x329b01c1, 0xf62db061, 0x6192682e,
+    0x34965021, 0x6c54a005, 0x639e69db, 0x47c027e3, 0xa21e7e5c, 0x56b48949, 0xcf0dd94b, 0xef1831bc,
+    0x2f9cd124, 0x9c8e0a4b, 0x0658af11, 0x44f47769, 0x2470d415, 0x51071206, 0x407a6e9a, 0x78a30799,
+    0x85812f1f, 0x52cae82b, 0x2cbcd370, 0x714d07a8, 0xd907f062, 0x630135f8, 0x54b1fdcc, 0x2a43f279,
+    0x1d204ae6, 0x11453417, 0x806ba8ae, 0xc4cd640a, 0x42addb50, 0x87bb4f45, 0xc336ddc3, 0xdb67c017,
+    0x4c75097a, 0x8a37f2cf, 0x96a90fc5, 0x684048b9, 0xbbf29052, 0xfb04a166, 0xac33076b, 0xe6220f11,
+    0x1b76d1b0, 0x64185ebf, 0x9cb07d30, 0x54001b73, 0xede625e2, 0x4f62fc59, 0x516f845f, 0x821bdc01,
+    0x874e6149, 0x76565310, 0x4d9fe73b, 0xe701a3e2, 0x1926fb31, 0x59848b4d, 0xfc8d9dce, 0xf2926675,
+    0xdb6f84a1, 0xe81bbf16, 0x71698245, 0x323d2994, 0x69161a2f, 0xcfcbe922, 0x775a8cff, 0x7958ba1e,
+    0x56859d89, 0x67a97fbd, 0xd34c4329, 0x3bef7900, 0x0ff1a627, 0xfc2486f3, 0xc8d95c7b, 0xc5d0e3bc,
+    0xe9bfbc50, 0x40ccb7fa, 0xe9293812, 0x4f0826fd, 0x9219542e, 0x542d7487, 0x7f6f250b, 0xe3dd4914,
+    0xe6b2c26b, 0x9699880d, 0xd65cea86, 0x3526c363, 0xc2d0b471, 0x8afd76d0, 0x7d0b6c01, 0xe0f5ab8b,
+    0xa51f8051, 0x4c90b055, 0xda1d3e8d, 0x6b116523, 0x4f14ab4d, 0x2f837236, 0x32e24937, 0x593808c1,
+    0x0fe7ac55, 0xfe014b7b, 0xf8d18d9e, 0x13c15276, 0xae2b261f, 0x41f764c3, 0xaca47fe0, 0x63eb80ac,
+    0x863a8871, 0x64e5e39e, 0x7825bee2, 0x2a0b85bf, 0x693018c5, 0xe4b19516, 0x0df3414e, 0x3fa48ac1,
+    0x5e4049a9, 0x7c1bb54b, 0xd601c45a, 0xe9a4a9d4, 0xad9ef64f, 0x31f0e1e3, 0xd6117360, 0x22567d19,
+    0xf26a3cef, 0xe3a3cd42, 0xcbc28f2d, 0x0dc16dbf, 0x56ede6d1, 0x98cc17d5, 0xe9b11510, 0xf41819a7,
+    0x77f2e93f, 0x3ec86c5d, 0xd6c8f2d6, 0x235a3ecd, 0x0414c10f, 0xdb506991, 0xf344eb1b, 0xb6cf0fb7,
+    0xd5591322, 0x63f5f9ac, 0x1b1211ce, 0x846d044a, 0xbd7b814e, 0x71dd1c88, 0x6a200b5a, 0xc02d0cc1,
+    0x88ad00ff, 0xb2b85859, 0xad00994f, 0x7603e529, 0x7377936c, 0x001aa6ea, 0x688fab41, 0x56559d7e,
+    0xbfb607ab, 0x65088051, 0x3be304d0, 0xc5035fca, 0x14be27ed, 0x51e0d7da, 0x85edca7a, 0xb4c2d297,
+    0x1634f1b0, 0x9ff61d35, 0x5750510b, 0xfd4b6f6a, 0xaa113453, 0xbbdf8a39, 0x0702d532, 0x12bb9e3b,
+    0x1fd99f5d, 0x6ae3cce7, 0xe5c31787, 0x8dd313e4, 0xabd5db2c, 0xddcbb094, 0xa08596e0, 0xdb71aa8b,
+    0x7c49b423, 0x09662385, 0xb326ef44, 0xc85bbe53, 0x5442bb88, 0xcd2371a1, 0xc44255f8, 0x05cd34f7,
+    0x436bbe40, 0x3b683448, 0x51549438, 0x2ee9fcf5, 0x5928ac08, 0xb79cd114, 0x4e12ee9a, 0xd81330dd,
+    0x27144daf, 0x50493742, 0xbf565013, 0xfce2feba, 0xf7ce798b, 0xf084c352, 0x3512c638, 0xc942887e,
+    0xa5a81d76, 0x403afdc8, 0xfb46e573, 0xf4e31a1d, 0xae327743, 0x2bbde775, 0x6d1e19ec, 0x3c828987,
+    0x1a4f8ab3, 0x479fcf95, 0x7edeeed1, 0x6c2b5d98, 0xe47fff14, 0xdef9785d, 0xec8fe7a5, 0x1be093ba,
+    0x963d1647, 0x26f96074, 0xa679353a, 0x37f09e03, 0x0fd75e05, 0x0b401faf, 0xe45a94de, 0xc2c2f4c4,
+    0xabeba0c9, 0x648b2330, 0x6cd48bfd, 0x6546407c, 0x7302aa4e, 0x92cf0fa1, 0x62517730, 0x8515e660,
+    0xee057cfb, 0xc8b140ff, 0x0af56074, 0x5815844d, 0x8c497297, 0x3f7b98ff, 0xd573ff5e, 0xc22d827b,
+    0x26bb4d84, 0xcbc61b78, 0x40bc5fd8, 0xde61a810, 0x4a38e749, 0x843aa751, 0x83e58631, 0xbe4b479f,
+    0xd3a79785, 0xd9d6ebdc, 0x7b0e36a8, 0xe019d24e, 0xbcbae065, 0xb34442cb, 0x03a161e9, 0x85eb388e,
+    0x2b889af9, 0xd0f6c82c, 0x3238f03c, 0x5671b2b4, 0x2e8dad97, 0x4ca86729, 0xfa049a82, 0xd6d194f5,
+    0x456a6390, 0x01b4b94b, 0x3ee146a8, 0x0c08a5a7, 0x2164c271, 0xf3a9ef43, 0x008101bb, 0x2e79ff4f,
+    0x4cde9ab3, 0x438dac0c, 0xae4dd915, 0x20eb4001, 0x97c8942d, 0xa7a28c09, 0xd9aee856, 0xc6a4b023,
+    0xe0966e85, 0xf956a618, 0xd50ebdba, 0x6da402cf, 0x157d4b43, 0xcbd3a959, 0x6fb93ee5, 0xce9a1c0d,
+    0x35602e9d, 0xfc18302d, 0xf3e6ac18, 0x23bd8994, 0x6e556991, 0xdc9ba41d, 0xbee97586, 0x8ada6ad1,
+    0xafb236d3, 0x08592d95, 0xec3a5b02, 0x6e1ae738, 0x9c2d01b6, 0x46d8b097, 0x24fa39b4, 0x3ce3b95b,
+    0x58a436aa, 0x6ca648ce, 0x216e06fd, 0x387b5a10, 0xa3e8f687, 0x15f7031c, 0x430a105e, 0xd463517e,
+    0xf9f0bdf4, 0x350cc965, 0x66dcf0ae, 0x37ff0758, 0xd1e5199b, 0x1881b78e, 0xf4b04569, 0x7ef404da,
+    0x0c318604, 0x6c1bf074, 0xfabbc4e6, 0x56812123, 0x78a35d4c, 0xf03a6ed9, 0x3fa36b21, 0xcf0391f4,
+    0x74b9baa1, 0x195cc090, 0x43bb361e, 0x03656d13, 0xbd31806a, 0xade93915, 0xca11f669, 0x8cca0894,
+    0x23cbe62b, 0x31b324c2, 0x9469d632, 0x855c397f, 0xea104afd, 0x8d8d423f, 0xad696303, 0x2845aba2,
+    0x513b92bc, 0x48366e44, 0x1f06c24c, 0xd562add3, 0x6888d925, 0x998bc8e8, 0x0e09ca12, 0xbe99754d,
+    0x9c893225, 0xadd88a15, 0x56ccbaa4, 0xa2a949f8, 0xcc97d34a, 0x8de675ee, 0x551ff419, 0xe54d68a2,
+    0x61f8e081, 0xbc102b18, 0x2b06eece, 0x772e28cc, 0xd287c46c, 0xfd6b1b33, 0xbaed2763, 0x23431d61,
+    0x833e9e69, 0x58c311c7, 0x8e1f9563, 0xbd298543, 0x02dcf61d, 0xbe0c4e09, 0x3f3817dc, 0x89c14ee2,
+    0xed5b878f, 0xf866fbf6, 0xdcb4a61c, 0x7f542712, 0xd5fddd43, 0x68b48168, 0x46b985b3, 0x622755b4,
+    0xee3e615d, 0x8d0ac184, 0xbf82544a, 0x05f5deb0, 0xa23f7e20, 0x216fb05a, 0x857fa7c8, 0x47be9b49,
+    0xa1af3c09, 0x3c8bdb6e, 0x4b3b085e, 0xa824b58b, 0x8f8e1b07, 0x49ce6d67, 0xa58c3748, 0x6c5ae9a9,
+    0x7afd7be9, 0x52846acb, 0x7bcf07bd, 0xc318584a, 0xe402ef77, 0xce8adc07, 0x394495d5, 0xb7259bfc,
+    0xabcd09a8, 0x14c76931, 0x8f0f1bf4, 0x5366d8d6, 0x68066336, 0xfdd6d6bf, 0x5bad3068, 0x8c9b8b03,
+    0xea9e49a7, 0xb203c2bc, 0x8dfa72fc, 0x8c92c1f7, 0x6e499a05, 0xdf278175, 0x229f9ed5, 0x18444142,
+    0x6722811b, 0x045f2480, 0x48077dbf, 0x31a9d7d7, 0x0e76c539, 0x5a9377b5, 0x705ca9e2, 0x170c012f,
+    0x186baeef, 0x9ece774c, 0x40c88219, 0xd8960b62, 0xbd3aeb3f, 0x22a3fc3e, 0x893af7c4, 0x543ad6b2,
+    0xe65cad7a, 0xbded26c7, 0x40b5dd52, 0x88e232dc, 0x07383ee7, 0xd2f2b4d2, 0xb5b143f7, 0xa6c333f7,
+    0x833d066b, 0x012c8072, 0x009d7bf7, 0xd9318299, 0xcf614e94, 0x9296346e, 0xf5cb356a, 0xa1e6e37e,
+    0x984b1ddb, 0x337fd429, 0xb1a6263d, 0x980de24b, 0x38fe156b, 0x71419700, 0x6c70a96c, 0xa62d88e9,
+    0x7797a37c, 0x0073077b, 0x0996335e, 0x9455ccff, 0x3daa845a, 0xc5e369b1, 0xd88e7537, 0xa14c1861,
+    0xa0863532, 0xb447cece, 0x4c6f287d, 0x01e96f17, 0x8c837ce8, 0x7808d214, 0xbe89d089, 0x56bb2bb8,
+    0x121490b5, 0x4def4300, 0xfbb0c61e, 0xdda0f7dc, 0x179d00f3, 0x56b5f47b, 0x7223df85, 0x8bf0de51,
+    0x2606b060, 0x194a5612, 0xabf4d481, 0x75fff3d8, 0x0df85881, 0xe100df6a, 0x5750c33f, 0xac74c7bd,
+    0x6f45fc4d, 0x60298d58, 0x7cb985d5, 0xa8e2b9a0, 0x29debc15, 0xa84b9f00, 0x1511555f, 0x5d866105,
+    0x1000aafa, 0x5e1d0062, 0x920c19be, 0xafa8aa6f, 0x94030acc, 0xe0177769, 0x5705ffb1, 0xfeed1d48,
+    0x971e9174, 0xb50ca488, 0xb6b3c653, 0x9a260d16, 0x32dfffeb, 0x5929b81f, 0x4a3148dc, 0x15ce434e,
+    0xdc55cca2, 0x4ac52b7f, 0x533bb83c, 0x05eb1e08, 0x584c22e6, 0xa3eb4dca, 0xcf6c7144, 0x79f418c8,
+    0xab024368, 0x8c231925, 0xc6b54a41, 0x5b146e01, 0x3383a1b0, 0x7829104c, 0x60c15cca, 0xc5aa6e80,
+    0xbedb0071, 0xab5585f7, 0xf6f8b54c, 0x730a1c55, 0x9e1db95b, 0xe20ba028, 0xbf2fcf11, 0xcb0b231d,
+    0x148a435a, 0xabb27895, 0xc479a809, 0x4277521a, 0x93151b68, 0xb5ac6797, 0xd0157dd3, 0xfc851dc6,
+    0x7bc82098, 0xb14009f2, 0xc2efd495, 0xa6c29925, 0xfc49adf4, 0xf17f8a2d, 0xf3541744, 0x6298b40b,
+    0x72e241e9, 0xdb54232a, 0x78cb3493, 0x5fc400bc, 0x6422c0c8, 0x8470d743, 0x60c42856, 0xa1d7a11f,
+    0xf73b65b9, 0x03907778, 0xcf6984fb, 0xd80a0956, 0x714d907d, 0x502dd374, 0x1281ca0a, 0xfa100515,
+    0x1a79db91, 0x550f8a22, 0xabbdb1ce, 0x0fbedf96, 0x7dcc34ca, 0xd8d40d21, 0xcd3931ea, 0x9e0af62a,
+    0x8f84bcb2, 0x83c284ff, 0x7a854236, 0xd4138f7c, 0x074dcb8e, 0x8201a085, 0x508f95ef, 0xbea1fb94,
+    0x4869dcf2, 0xa6237f9a, 0x4af77cdd, 0x04430e68, 0xe1589999, 0xe723b60d, 0xf9f0e193, 0x69877a4c,
+    0x5c09029a, 0x7df29dfe, 0xdd0d868f, 0x1bb8955c, 0x505fdcdb, 0x1751b249, 0x006baaf3, 0xb2e2f7f3,
+    0xb0480124, 0x274e7454, 0x637f8b3b, 0x54867a3f, 0xd5ae9dab, 0xd955e48c, 0x03c7cb77, 0xcf352195,
+    0x256e635b, 0x6c0183b4, 0xa13546b8, 0xc37847b3, 0xa1ec2524, 0x27970af1, 0x5b1c0cce, 0x1bbc18df,
+    0x8c7a81ec, 0xff745c0f, 0xe260c233, 0x73e7eb47, 0x5f6b692f, 0x648235d4, 0x8631b617, 0xa43e7236,
+    0xbe195fbd, 0xe8918948, 0xc433e907, 0xce0a1d42, 0xdf154b56, 0x3aef240a, 0x56f25c9f, 0xe9512fee,
+    0x40c8f0ac, 0xd0062035, 0x3cf8c447, 0x190f1e04, 0xa58bd237, 0xf853e567, 0x437bfb62, 0x5e9b2951,
+    0xa4f382c6, 0x9bbb5ece, 0x0639fcd4, 0x57283745, 0xf0fd84c0, 0x99bbb261, 0x0e399aec, 0x81ffc73f,
+    0x5f78352a, 0xc3bb74dc, 0xc32a794c, 0x0deb71df, 0xb747ddb4, 0x07b83e0b, 0xfa4d234f, 0xf0dd86e0,
+    0x860f5b91, 0x45799fed, 0xbae9aa0f, 0x8b040928, 0xdb9592a0, 0x396e3526, 0xaa93f42d, 0x3934ff12,
+    0x59532467, 0x5f962ba4, 0x5086a8cb, 0xfb9629d7, 0x9314f072, 0x51a038ff, 0x37620eff, 0x6a57bcb6,
+    0x987520c0, 0x18ce4a14, 0x8c16a92e, 0x9089c772, 0x27882c1e, 0xd660a201, 0x59942baf, 0xc4e18990,
+    0x23cc83d4, 0x7fe3412a, 0x55f08768, 0x93076f19, 0x56239d1c, 0x37996717, 0x8ddb3ce2, 0xf8358061,
+    0x075cb17d, 0x5f439c6b, 0xe2f83bab, 0x62370e55, 0x0f573aaa, 0xd0f44780, 0x18e7dcea, 0x688dbd03,
+    0xbcdb61ab, 0xe7017e46, 0x03913657, 0x6bd0b532, 0xaa8e9ef0, 0xbd1c559e, 0xc2ef06d8, 0xb871e5fe,
+    0xbf569fbb, 0xcba662ed, 0x36dadd6b, 0x02779e84, 0xaf4d3047, 0xfb4dd7b5, 0x6c8e094a, 0x20172943,
+    0xd16c4d9c, 0xd24864ad, 0xd80b4100, 0x502f3024, 0x37630055, 0xb1e66faf, 0xe058afa8, 0x51fc9e13,
+    0xbc57b520, 0x36778870, 0xe9366b15, 0x66506ca9, 0xbeacb50c, 0xa6460e81, 0x2ec0db85, 0x8645844d,
+    0xf483d94e, 0xdf6a11fc, 0xcedb5ed6, 0x4776f263, 0x172e35d3, 0xdf29ccb1, 0x7b30087c, 0xdc8172f7,
+    0x94038d6f, 0xd605c07d, 0x94e93aa9, 0x743f5f35, 0x51ee8ea6, 0x11f57a7c, 0x5e386834, 0x71761431,
+    0x67df688f, 0xf262158d, 0x360d7971, 0x856832c9, 0x0e6409e5, 0xe0b026db, 0x206680e2, 0xd6a503ca,
+    0xc26f30a7, 0xb66cb78a, 0xed33c968, 0xfeb7fce2, 0x6cd313b2, 0x6d7dc565, 0xf8243fe3, 0xedf7afcc,
+    0x201c6d80, 0xbddaa911, 0x49aa8f92, 0xbefe266f, 0x60978c42, 0xa8608c27, 0x68ff61db, 0xffcbd03f,
+    0x9b2beb22, 0x91a9bcde, 0x7d0ebec6, 0x4e5bae24, 0x9ca11e63, 0xc24dec4f, 0x79cfe249, 0x95a57e4f,
+    0xee95f7c0, 0xa4ee3090, 0x150e221b, 0x5322f176, 0x25d2a6e3, 0xfd6b81da, 0x51935077, 0x2e8f8f78,
+    0x07d04bdd, 0xa10adde8, 0x0696a68a, 0xd6c23160, 0x2c44f829, 0x1ef9b422, 0xc4f1742e, 0xde11c4e4,
+    0xc7921957, 0x283d1e7a, 0xee2fd702, 0xbaa236a0, 0x93ac8290, 0x65b810aa, 0x5500da68, 0x3ebbba5d,
+    0xfaf1fd83, 0x82437c2b, 0xf41a80a4, 0xd697acf3, 0x6e31fa85, 0xffb864fd, 0x8773adbd, 0x0c0889cc,
+    0x7c3adb8c, 0xe9dda1bc, 0xba9c7861, 0x3c2a9479, 0x856516ce, 0x05b0ade2, 0x0d8cbf16, 0xb2ed05af,
+    0x61d10e67, 0xee4b041c, 0xd94ee84e, 0x4ebb2c8c, 0xdd5f5d63, 0xf91bbef8, 0x00639e93, 0xe7d7ef1d,
+    0x0f4608dd, 0x35c7636a, 0xd8938202, 0xdca096c4, 0x7908a864, 0x90bfce89, 0x6a8879c0, 0x60609ac1,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000131072 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffcad95,
+    0x00000000,
+    0x8b2358eb, 0xdc628061, 0x2591506b, 0x30320e73, 0x99f6b651, 0x65d787bf, 0x0947fbef, 0xe1b7e2e9,
+    0xcaac64f8, 0xd86be15a, 0x1509a102, 0x28680295, 0x5d8179ee, 0x450f3086, 0x4b96bed6, 0x302e70b4,
+    0xc2063b0e, 0xbd412f05, 0x67c01003, 0x531aa40a, 0xa8f53cd1, 0x3d9e116a, 0xe33fa8b1, 0x86966ac4,
+    0x6069ecc9, 0x743b311a, 0x430818cb, 0xc2b3a872, 0x2386e1fe, 0x883d35de, 0xcb06db98, 0xed5378f6,
+    0xf304ed38, 0xfdf812b4, 0xf39c9733, 0xa03dbd76, 0xadd7f145, 0x131230af, 0x0d63122d, 0xce02a1a8,
+    0xd3eb6136, 0x3b23c014, 0xa29691d8, 0x961c505e, 0x826a518d, 0x6fc055e4, 0x30070e8a, 0x9317ebe8,
+    0xa03a1416, 0x77caf8c6, 0x5a505b66, 0x3392756e, 0x2a014939, 0xa8ef1b7e, 0xeb24f451, 0xa72f5bc0,
+    0x474d5ad5, 0x9af4b8d2, 0x9e3a11e7, 0xeef341a9, 0x84577259, 0x6fcfab97, 0x8ece5324, 0x8db514db,
+    0x7b7600d8, 0xfd16dcbc, 0xc2ca8ace, 0xb2387893, 0x360264fe, 0x24934639, 0x6e02cea2, 0x8abb0beb,
+    0x54ea3ff5, 0xd05c1c79, 0x825f83d9, 0x1c78a845, 0xabc8da53, 0x91cfd7ca, 0x89944370, 0x3b02fa80,
+    0x7a55b78a, 0x035b8153, 0x00066900, 0x351ec628, 0x0cc5ff45, 0x1a14d5e4, 0x022ad469, 0x4a66d45b,
+    0xc8e231a2, 0x35dd4ea6, 0xe44f026d, 0x877b8f5c, 0x2fd51660, 0xbd07b3f4, 0x1aa5a985, 0xae44ee99,
+    0x9f265b9b, 0x3f64c8f4, 0x7fe2ec5a, 0x646c09ca, 0xf77dbd24, 0xe4869231, 0x82808e2e, 0x7642432b,
+    0x85c83e5a, 0xba3df06d, 0xc2430b98, 0x7f3990fe, 0x8c19edde, 0x28a76093, 0x706aba97, 0x2729c572,
+    0xf47c865c, 0x313aab0d, 0xad33c909, 0x72a7a2cc, 0xbc00ae84, 0x5b698bb8, 0xf6b5edc4, 0x0fcb3122,
+    0xbb4bc966, 0xaf9631ad, 0x91712c1f, 0xef0d6794, 0x388eb529, 0xff34efbd, 0xe1e61f88, 0x80a2d356,
+    0xd8a52361, 0xeceb0478, 0xcfc1bc7e, 0x0844b1e7, 0x209a8e37, 0xb7ea4f24, 0x0939894a, 0x5f20c135,
+    0x0e562d28, 0x6380597f, 0x7e420318, 0x16fda207, 0x6795d2e9, 0x3371771f, 0x3a8a1c14, 0x875cb060,
+    0x120dea98, 0x984ddf90, 0xf58b8dc5, 0x0437641f, 0x4d5b7dcc, 0xf70bf640, 0x45e4f4d8, 0x2c6cffc7,
+    0x9b263973, 0x27d276f2, 0xe54352e3, 0xa531ba0e, 0xc182977d, 0xd6aa5e8c, 0x1f5cd554, 0x067c89b1,
+    0x71e317d8, 0x9e48712c, 0xc2fc3839, 0x88d69324, 0x76c0da7b, 0xdbc9eb17, 0x501b39f5, 0x6509cf1d,
+    0xea0b8c01, 0xc9da6862, 0x0cb7475c, 0xa1a474da, 0x8af4bb53, 0xfbb87907, 0x42bd4cc9, 0xe9f99ac3,
+    0x9112d201, 0x7f530200, 0xc2fad650, 0x54601a27, 0xd90c1670, 0x31944437, 0xfc5e1c5c, 0x23760c36,
+    0x0bc6c09f, 0x027b0839, 0x918f0d40, 0x0d18cd4f, 0x4304c5d1, 0xbb8916f2, 0xdaf88d4e, 0x7bafc650,
+    0x6e990f62, 0xc4f48c3c, 0xbd968485, 0x201d247e, 0x2aedc780, 0x2115858c, 0x79c459cd, 0x757b2907,
+    0x1eb37880, 0x67849292, 0xe4eef843, 0x4e3494ff, 0xee2501cc, 0x1a79855b, 0x6549a7b1, 0xaf938d13,
+    0x3cbbf8be, 0x4dfa834f, 0x35a92160, 0x73dd89b4, 0x0773ee93, 0x0acb4863, 0xd0a0bc02, 0x2444d4a2,
+    0x17d256b5, 0xb50310e1, 0x2d69cf24, 0xbe44e874, 0x4dc2594e, 0xa146b37a, 0x10118be6, 0x25214448,
+    0x8ecb795f, 0xd351fd5f, 0x039c6162, 0xb4eadf1f, 0x2bd292e1, 0x28c5945f, 0xe357dbc2, 0x4f42d505,
+    0xbb3e806e, 0xb6ca308a, 0x40845f66, 0x548a8508, 0xd8143561, 0xedf6c778, 0x7ff0e49f, 0x778f797e,
+    0x43299509, 0x17f11787, 0xbab064aa, 0x5c417998, 0xc17fef2c, 0x44a0e4af, 0xd1b688e7, 0x05603751,
+    0xa6cb52f7, 0x26f7b563, 0xe4ee9c9b, 0x7158e202, 0x635326e5, 0x5c81ad82, 0xc9e1afcd, 0x756ea030,
+    0xe37dfc05, 0x5129e61d, 0xa1c3000d, 0x14ee1459, 0x8591780f, 0xee830252, 0xc5ad4296, 0x06710ddc,
+    0xade1df71, 0xe33e24d6, 0xc998c3df, 0xf5ebc5a8, 0xb085ca5e, 0x97344c2d, 0x8139ce82, 0x622a0659,
+    0xafb5fc0e, 0x1db4e31f, 0x98958a75, 0xcfc89a50, 0x00ee22a1, 0x0db12617, 0xfdeeb4a1, 0x0995329d,
+    0xe09cae7c, 0x267d003c, 0x62897701, 0xc4b9e39b, 0x67694de8, 0x3ee3a933, 0xcb2828ff, 0x4d37bbc7,
+    0x4f7eabff, 0xee7d8b4f, 0xd4507d0b, 0xef9068af, 0x443b63e2, 0x9f9a1af0, 0x2d3bf5ca, 0x0795c1dc,
+    0x5283257b, 0xdd5f187d, 0x904ca1d0, 0x6ee9cb87, 0x03492959, 0x663a0bb0, 0x927380d0, 0x4c3598ca,
+    0xcb50d3fb, 0x2e382b96, 0x8be2e241, 0xcfaf8973, 0xfacd1c85, 0x7682188c, 0xa5dba0c2, 0x274ea0f5,
+    0xdf428372, 0xffeedeb7, 0xff7a5331, 0x6ee64e83, 0xa5d413b0, 0x3504a56a, 0xd4d77683, 0x0bc07958,
+    0xce501022, 0xe23ce4eb, 0x05f73075, 0xcdf99457, 0xf15c7530, 0xb1c667cd, 0x1629d88c, 0xe481bb3e,
+    0x60dbe8cc, 0xb1fe1cde, 0x4744d231, 0xe0aa8e3e, 0xc297944c, 0xc1861ecb, 0xc7b93acc, 0x80d9f7c9,
+    0x9c0214c3, 0xf1716c9e, 0xdd40350e, 0x9ff30708, 0x83cd6d90, 0xcc371a66, 0x0c866605, 0xbb13171a,
+    0xd64cd2bc, 0xd5f012b6, 0xee9c65d7, 0x93bd1297, 0x61a44ad6, 0xb09b1692, 0xcfa660ae, 0xc0e1d657,
+    0x106f86f8, 0x4db01d40, 0x1e2cc56f, 0xacc064b4, 0x2c7cfb23, 0x4186d13c, 0x957c1649, 0xa96a956f,
+    0x4dfffb13, 0x70450c92, 0x80eb6c95, 0x3224db17, 0xe560e1fc, 0x0b566892, 0x36e16516, 0x72240899,
+    0x13f353f4, 0xd6e03294, 0x22506db2, 0x73f0a3ea, 0x33625f8b, 0x05f589c0, 0x61376f8a, 0x64b0560e,
+    0x1ea6b70b, 0xfb2d9170, 0x717b2ab2, 0xd4908f45, 0x5e333298, 0x68b18882, 0xf6627bab, 0xf9f38d4b,
+    0x3d6da415, 0x06062ee0, 0x2498e367, 0xd5e737c3, 0xc9a8d6fa, 0x64e9fb57, 0xb997fe90, 0x3337de37,
+    0x2ac0b383, 0xcd0f8a53, 0x74e5255a, 0xaf6924e0, 0x4ad29250, 0x465c9c32, 0x7f234592, 0x0fdfa22a,
+    0x18a1ddc4, 0x0258ad11, 0x9a885531, 0xcc24801f, 0xc649f3c0, 0xb91a0e4f, 0x6a4d5590, 0x9fdcafdd,
+    0xbef8cfbb, 0xab19bfc3, 0x44f7fd2d, 0x86a4340b, 0x9fe51c81, 0xf20c5118, 0x7c0b4c98, 0x58f656e2,
+    0x2a21f705, 0xb5957af0, 0x265a157a, 0x7c9591be, 0x443f535c, 0x95967bbb, 0xd48db0d5, 0x70465b79,
+    0x0aa818b6, 0x836d8f08, 0x00cc581f, 0x1aac451d, 0xcea2bd04, 0xf26f365a, 0xd719da30, 0x23b9655e,
+    0xe63f2434, 0x155ac81c, 0x607f5999, 0xb2e13b32, 0x423a617e, 0xb4540dc7, 0xde06b2a7, 0xf8e1d696,
+    0xa9b7363e, 0xbcf0197a, 0xb8d4502f, 0x95d2140b, 0x41732648, 0x3eb8a267, 0xa4ccb9f9, 0x0c04b1f4,
+    0xc247fe9d, 0xb6e004ad, 0x85cd445c, 0xeab2adf1, 0x8a61b11f, 0xbcdd1090, 0x1f6268bf, 0x310415fe,
+    0x73949a0e, 0x13aa2714, 0x5637d644, 0x19e3e628, 0x2ba48c17, 0x4187b4db, 0x91c2c416, 0x7874e459,
+    0xa1f3d515, 0xbe84fedd, 0xd6d2000e, 0x96d17142, 0xbaa1b1f4, 0x011b8764, 0x17ed3e4d, 0x4d60a340,
+    0x2538843a, 0x851891b7, 0x28ba98e1, 0x1016e135, 0x7e3d0912, 0x5636d4c4, 0xe987b823, 0x251c039b,
+    0xb6bf0ac8, 0xfd299a8b, 0x7dcb200b, 0x07d2e960, 0x565457ca, 0xe5f02589, 0x6cab5658, 0x250269db,
+    0xd73e8724, 0x7c11e04b, 0x61851fa7, 0x19680cc0, 0xd8615f28, 0x8bac4f6e, 0x67d9214f, 0x30fd940e,
+    0xf05f491a, 0xbcf5d27c, 0x1f5389a1, 0xdbfa6749, 0x1961267c, 0x61bf0630, 0x0b5a2d4b, 0x26b8dc35,
+    0x84b97dc0, 0xe21ac855, 0x88e8fd48, 0x0eb75b45, 0xa40933d3, 0xefcc2ea7, 0x4a6524e7, 0x01a25fd2,
+    0x7f63485b, 0x19228c55, 0xc0562f8e, 0x160e2bca, 0x6972700d, 0xd91ac91f, 0x0dceabb8, 0x4845dd4e,
+    0x8d92aca5, 0x1159fba9, 0x5a7056f0, 0x93e4d900, 0x8c64d0c7, 0xd90f7bba, 0xea892f38, 0x7ac36554,
+    0xe121bc8f, 0x40985260, 0x70019633, 0xa67b8d7b, 0x4918a087, 0x6014c94e, 0xe73805ef, 0x5db8c0dd,
+    0x1d4e1579, 0xc5559164, 0xf4ee8311, 0xd251bdb2, 0xad0d384a, 0xf975ef02, 0x9cf38317, 0x59633e0b,
+    0x59c931aa, 0x7f440897, 0x9d2ea773, 0x6fa2fb2b, 0xdeecc3c3, 0x9b7d3959, 0x9212826b, 0x166159b9,
+    0x73f33011, 0x41745008, 0x56b613cc, 0x91f2c5ad, 0x6b96ee0e, 0xecf84cfa, 0xccb9465a, 0x8d7af4c7,
+    0xa3440c11, 0xef495fa2, 0x76314fab, 0xe84e4b3e, 0x0dbfde31, 0xb9f3dc50, 0x790460cf, 0x1e425f6b,
+    0xa1db8b80, 0x784415c5, 0x9971ae20, 0xeed876fb, 0xdf9caa02, 0xbe0fe268, 0xe59ae3bc, 0x4ae47b3b,
+    0x3f1696f4, 0xde47d804, 0x1e209b84, 0x446dd1e1, 0x25f86675, 0x81da6888, 0xa2a0d910, 0x092e9a9b,
+    0xb74dce8c, 0xe4385303, 0xa687806d, 0xa9c8c2a5, 0x3831a64c, 0xf2a9ddd3, 0x71a69e48, 0x430e324a,
+    0x4bd8f725, 0x374ec817, 0x74f15168, 0xab49b0c8, 0x054ec72d, 0x9cdc2692, 0x0d899a4e, 0x8c83e22c,
+    0x8ad0fad0, 0xbd0d20f9, 0x22565778, 0xfd5bf9d3, 0xa616b5b9, 0xe443e012, 0x8b416e23, 0x54bd25e0,
+    0xec46242a, 0x0d96bc99, 0x5a7f024f, 0x3322ed98, 0x4872a78b, 0x4d0a3010, 0xd9031e21, 0xc2a3b004,
+    0x4ce150d3, 0x886c67c1, 0x2eacb0ee, 0xc5b43480, 0xd77c8b42, 0xf8d25e69, 0xf5e5c606, 0x06b42ffb,
+    0xad7a4a5a, 0x84423e1a, 0x46befbb9, 0x581b0f89, 0x77269b6a, 0x47111f54, 0x13673456, 0xca33fc3b,
+    0x4eff034e, 0x466b6f05, 0xa65ae35f, 0x199e349d, 0x8ed6336b, 0xa7bf6660, 0x24036a5f, 0xeab649ae,
+    0xd1830f26, 0x68810fb6, 0x6a675bd7, 0x18cafaf2, 0x1e83e28e, 0x6546ca9b, 0xb06a5ab5, 0x65fc271b,
+    0xa26c723d, 0x63b2eac9, 0x46a95ffb, 0xcff7f0ec, 0x2091d371, 0x4c17ffa3, 0xef426140, 0x3a60a000,
+    0x377d1af4, 0x5b5f83b5, 0x5f33c9e0, 0x7341c586, 0xac3adbd8, 0xe2f47763, 0x1a068687, 0x5c48f690,
+    0x92f95e99, 0x5f894d20, 0x0021818a, 0xad0363a3, 0xfbabfd3f, 0x1e869f0c, 0xb3a99ce8, 0x5c535932,
+    0x0525d5a5, 0x140dc11a, 0xec34e06c, 0xb4c6e0c8, 0x1edac044, 0x3059ec47, 0xc55140b1, 0x56526793,
+    0x7419bc03, 0xb2db547c, 0x5b8fe97c, 0xd0da0901, 0x8b9fd368, 0xba83b009, 0xdf46a055, 0x0fb0a673,
+    0xc6f9d725, 0xf20b3a67, 0x6e4555e3, 0x9e2abd7f, 0x1b86c1da, 0x0d7a4428, 0xc9acc0f2, 0x25c556dc,
+    0x3e634b71, 0x2371cd32, 0xfefdfce2, 0x1ea9cc87, 0xc42553e9, 0xd65833c3, 0x40a0c34a, 0xf3e2afb9,
+    0xd0f05889, 0x6178c187, 0x21b8fac9, 0xdd5696d3, 0x65bdfdf0, 0xcf78b049, 0xbbd64584, 0xac2ec670,
+    0x5dc4c6c1, 0xe6eb45ce, 0x79f2e362, 0xdc64a14d, 0xf4556f6a, 0xdbcc87c6, 0xa54ffadf, 0x3d5e46fe,
+    0xdfdf2607, 0xa0085c83, 0x1811a6fd, 0xc5196da0, 0x20b921e0, 0x9ec29e06, 0x6f7f36f2, 0x475150a2,
+    0x4e3e9281, 0x62d3fb9b, 0xfd9872e9, 0x964c329e, 0x4d71b672, 0x84cf1c4e, 0x46e6a9bf, 0x3132feba,
+    0x1850ab05, 0x7a96fa48, 0x62403b7e, 0x0c16d48b, 0xca696855, 0x1b44a834, 0xc74703da, 0x8ad3cc78,
+    0x3555c880, 0xdb6cd1b2, 0x5738ad07, 0x3d24034a, 0xd28236cc, 0xded7baf1, 0xbe92c3ff, 0x88401ecd,
+    0xc1ec7731, 0x7473d6e7, 0xc002efbe, 0x6ec0ab1a, 0xda07a544, 0xa3b5ee88, 0xaf87232d, 0x98239954,
+    0x73fbbcfa, 0xc9f4bf67, 0x54b92f8b, 0x9804db82, 0x9cbeb259, 0x72e9431d, 0xc215465c, 0xa519f3b7,
+    0x35381edf, 0xdda4555d, 0xb34c4beb, 0xafa47f7c, 0x389dda1f, 0x01f16a76, 0x5cd869fa, 0x152839fe,
+    0x1f4d07dc, 0x0287b49a, 0x8fc26313, 0x14ee4ffd, 0xebe932e5, 0x2d477767, 0xabe38660, 0x13ef5b94,
+    0x9f6f9325, 0xfc195ca7, 0x25115d0c, 0xc16dd3d2, 0x738dffb2, 0x93187174, 0x68adb947, 0xf8e4ef80,
+    0xf46150fa, 0xbaaa7410, 0x90f70395, 0x504a6369, 0xffe99a69, 0xb6e15f49, 0xad5e63bb, 0x06c08a59,
+    0xc5029c3b, 0x7aaf9f1b, 0xe25e9dab, 0x297bfa29, 0xe2cd47e5, 0x92743017, 0xb3d477fb, 0xf05dbe75,
+    0xf1619629, 0xa1d9c2aa, 0xe745d1cb, 0x443ca55b, 0x3b05da36, 0x2869a964, 0x3a3b6918, 0x5ab7792b,
+    0x87f4fddf, 0x58489243, 0x275d0c3f, 0x932059f4, 0x166505bf, 0xbfe31f71, 0x7d426be5, 0x4ca64ab4,
+    0x158b4aee, 0x2804d68b, 0xb2bc4eee, 0x9a25fbbb, 0x44cef968, 0xbb1a834e, 0xc52fceb3, 0xdaf47cad,
+    0x65a8a750, 0x068f663e, 0x9a989ede, 0x81e7e49a, 0x73ae1f75, 0xf4c30c1c, 0xf7fa41be, 0x6509aad1,
+    0x47bc2d6c, 0x0f3e424f, 0x774aee36, 0x6278d5a5, 0x11c70795, 0xbd6748c6, 0xebfdeda1, 0x960d4b2e,
+    0xa6bcbf05, 0x8d3ed8a8, 0xf6354345, 0x72cea5de, 0xed06fd15, 0xab5017e8, 0xc1e7c369, 0xfa8c8c71,
+    0x538bd04c, 0x9e7cc618, 0x9c6f1658, 0x4460d625, 0xa9adf10b, 0x120f6487, 0xea6f582a, 0xcb7b43ad,
+    0x6cbe2159, 0x3c091ed2, 0x94334b31, 0x8429031d, 0xc4475bf0, 0x86ef9430, 0x5088708b, 0xbd7d59fe,
+    0x3275c96a, 0xbf8c5e56, 0xa5a01647, 0xa8d4051b, 0x95ccc241, 0xbb70ed61, 0xf4e1fca9, 0xf1ec17c2,
+    0xab07083b, 0x6e7ad73e, 0xf490e300, 0x725a4369, 0xcb26c039, 0x914c9d25, 0x984cab61, 0xb6d93f8e,
+    0xe9ef09fe, 0x143a317e, 0x0c3f0123, 0xeba335fd, 0x957a03ed, 0xc7810cec, 0x461a7b08, 0x08b3ec1d,
+    0x1db31702, 0x7f05f3c4, 0x6676e2e3, 0x45e79a0e, 0x8b9e15c9, 0x46a1f4c8, 0x4095d0cb, 0x4ba86916,
+    0x5412c2b4, 0x9dc059a7, 0xf212c1b0, 0x3ce27143, 0x87661333, 0x2233c98c, 0x2529f65c, 0x0e0b73ba,
+    0xa1944dd2, 0x799d406e, 0x5194a682, 0xb9f007c6, 0x83ec4814, 0x9eb0c45e, 0x0e3826c2, 0x51ed81ac,
+    0xfbe3403a, 0xe49994b5, 0xe074341e, 0xb644d69f, 0x2037b6f3, 0x6a90de01, 0x16443260, 0xdeb14c53,
+    0x91d76e40, 0x3db99c10, 0x0bd65c4f, 0x8e9d0548, 0x577ee6d2, 0xc95e8296, 0xfb61488d, 0x5dd1b748,
+    0x5f671551, 0xb9aac669, 0xd9db0e87, 0xb71272a6, 0xaef53f19, 0xae770654, 0x7e9d6a95, 0x5d2b85c9,
+    0x07114c17, 0xff3cdd25, 0xa2d8ca33, 0x6e7745e3, 0xd89adba1, 0x7c8a1b8c, 0xd4c54355, 0x60a11970,
+    0x1f9f8aa2, 0xbf8e38f5, 0x5ab554a0, 0xefec018f, 0x8e8d896e, 0xb90de288, 0x9ee86046, 0x469b155a,
+    0x12bc0262, 0x9d909c38, 0xe8d7b9de, 0x7a8819ff, 0xc4c4aea2, 0xb21a6845, 0xa9b42091, 0xadbf0b89,
+    0x7bff10e1, 0xa1cbe92e, 0x2b0a35f5, 0xa4d19381, 0xfde80a80, 0xf47f01d9, 0xdd47c82b, 0x8213124f,
+    0x9c02768f, 0x64422407, 0xc8193390, 0xb8a35925, 0x1c2e25d2, 0x080d4b23, 0x8922185c, 0xe9666292,
+    0x3bcb8ab3, 0x8d4c3b76, 0x5406b533, 0x68b40335, 0x5a869e5c, 0x9edec5f9, 0x5a87137c, 0x0bf352a4,
+    0xee4b94ab, 0x71ec079f, 0x564218fc, 0xb46bce86, 0x9029469a, 0x38532167, 0xd94144ab, 0xc635b075,
+    0xa133e4c2, 0xe8fd52cc, 0xba343b3e, 0x7af5ccea, 0x027f7f65, 0xb6741461, 0x26bcaa89, 0xf24003aa,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000065536 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffe56ca,
+    0x00000000,
+    0x8573f08e, 0x5ca085e5, 0x718e8c4e, 0xa73abf7c, 0xd2b17e71, 0x6f5893a0, 0xd31f7cb6, 0xffc3e1d3,
+    0x74a104cf, 0x5e82cd5b, 0x197a57c8, 0x55637174, 0xb64206fe, 0x2d649b78, 0x6ad0b829, 0xe2c1238e,
+    0x832cf075, 0x67d339d4, 0x3a1ebe90, 0xabcd9538, 0xaa173774, 0x648268a8, 0x2fcb8e9d, 0xe03f02b8,
+    0xd7772d09, 0x57a08d80, 0x798c45ec, 0x9047172c, 0xe61d8cfb, 0xdb1bd274, 0x80afd557, 0x2eae7246,
+    0x4142cff8, 0xc0989792, 0xeb799950, 0x5cb30dd5, 0xec4f0299, 0x30d572b0, 0x3a65ec31, 0x0708f2c7,
+    0x3df83629, 0x679861f4, 0x5ac435ac, 0xcfec1675, 0x64b8cf2f, 0xa77a5cfa, 0x5dd09104, 0xa3abebf5,
+    0x18d4b6a8, 0x11bc0b2c, 0xbaf76724, 0xbb82ea38, 0x5093c977, 0x108c87e1, 0xbd063e26, 0xe2af4453,
+    0x8f62d786, 0xc1d48e0c, 0x3ef49d02, 0xc000acb2, 0xb616db46, 0x43cba67e, 0x79feab5f, 0xea4894c7,
+    0x9c9fdd39, 0xea447a46, 0x25ca6cfb, 0xc6e38267, 0xb09e2969, 0x19e20ac2, 0x5f4352f7, 0x9817653c,
+    0x6d785f32, 0x01de1f30, 0xd5e52b13, 0x30eb2c7e, 0x6945a3d0, 0xb22f28ab, 0xb83aec52, 0x989af0a5,
+    0x503670cd, 0x33bcd404, 0xc9bca21d, 0x314b9536, 0x09ce2de2, 0x473a4190, 0xc70799aa, 0x4c62637f,
+    0x7647fb5a, 0xff00b48b, 0x5f270a20, 0xdb340628, 0x572ac0c5, 0x86f4e901, 0xa82cbe5e, 0x655fc716,
+    0x62b0d00f, 0x4727ea23, 0xda19f959, 0xd7092955, 0x75629555, 0x451f2c39, 0x3bddea4d, 0x194d434a,
+    0xd0a22216, 0x431b12b5, 0x0e70b6a2, 0xd6d2ef30, 0x115f5e15, 0x26bc3827, 0xb21ee93d, 0xeff0eb4d,
+    0xc3c0f9bb, 0x4c6de48b, 0x2086926e, 0x4bcd5610, 0xf418870b, 0xcac80139, 0x12fbb6ab, 0xb2dabd2a,
+    0x62005152, 0x32e69926, 0x7cd968d1, 0xfec54df6, 0x8ac6d9f3, 0x87e4b856, 0xa12aa3ae, 0x731f76fb,
+    0x555d8044, 0x222624ea, 0x367096ca, 0xa04068bf, 0x1d9009da, 0x3fae1749, 0x43761813, 0x768e910e,
+    0x1b3596f4, 0x0cb9e39d, 0x1a4a3011, 0x9a1e4937, 0xd4111eab, 0x0345e0fc, 0x2a4da393, 0xe8bfde5b,
+    0xaadcc5b4, 0x780bbed1, 0x4bb7986e, 0xba1f154e, 0x48cfdd49, 0x117fa06c, 0x65b02a6e, 0x31eb71bd,
+    0x4879da62, 0xb6e468a8, 0x319cccc6, 0x70278c0f, 0x4ad1373c, 0xd1a386de, 0x552cef6f, 0x9c9732ae,
+    0x6903be9a, 0xdcdf2484, 0x765e1949, 0x345e221f, 0xcd0eb5aa, 0xa2f9ec5b, 0x1526078d, 0x450bd9f5,
+    0x6b7d4c98, 0x1f1571d9, 0x0d0d5b68, 0xf580653c, 0x586649ad, 0x5b986d56, 0xba607119, 0xa8ffc38f,
+    0x1b4082e3, 0x990be71c, 0xeecff63c, 0xc58afd6f, 0x07fbc38c, 0x9d6f73bb, 0xd93c5d98, 0x18d3e0db,
+    0xc46fa3a4, 0x43c8c0e0, 0xa90b98cf, 0xfad37f54, 0x14334e59, 0x75dc4b92, 0x6b0e4b43, 0xe4e94c0d,
+    0xcf87ad39, 0x3525eed0, 0x6cdc2c05, 0x8e18faa3, 0x956d7d3a, 0xb670c76d, 0x8eb639ea, 0x6b04494f,
+    0xe814dbac, 0x4c2dbb26, 0xf218eb8f, 0xbca6d0c3, 0x904300dd, 0x159621c3, 0x7fe8f016, 0x88cd6e2d,
+    0x7bd40ca8, 0xbab8eb92, 0x937869d8, 0x1dc08c2d, 0xd9a6963a, 0x593987ee, 0xe74f1b77, 0xe670898b,
+    0x9ba2c84b, 0x74cef923, 0x38ebc2e1, 0x567f9a82, 0xdd347d54, 0x07600a50, 0x753924ea, 0x25d97c8f,
+    0xe0de69e5, 0x75311a89, 0x194876ea, 0xce921fb3, 0xfeacce2d, 0x75ea5718, 0x4190c6b0, 0x61c68482,
+    0xc9e8dbe1, 0xefe936ab, 0x8086382e, 0xd8d1f2b7, 0x93c5b075, 0x7335afff, 0x39783692, 0x003d9849,
+    0x7e397a27, 0x6bc6dcec, 0xa8f8f8fe, 0x9099cfea, 0x47f57c15, 0x1bfa6c41, 0xaa37f416, 0x26fca7c0,
+    0x0f7b6900, 0xdcb4f87d, 0xc9ccc03a, 0xa359e3bc, 0x824993f6, 0x65bba093, 0x3e41c5db, 0x0bd68c26,
+    0x9b325d19, 0x9c966f7c, 0x0d20d291, 0xa2f9574e, 0x2c4f9527, 0x12922c17, 0x5a066510, 0x52915589,
+    0x81879046, 0xe6d1e21d, 0x266dbd5a, 0x7a222a7a, 0x3696e53b, 0xf84276c6, 0x2782997b, 0x1f8bc5d0,
+    0xb153b8d3, 0x3dba8609, 0x4809f1e1, 0xf817a08c, 0x5f0e8c66, 0x3aaff4b3, 0x76e016a1, 0x58c807b4,
+    0xe3a6417d, 0x9161e281, 0xe96f93b5, 0xfb3afe0a, 0x2135e6f4, 0x85ef2c70, 0x71698592, 0x450f1ec1,
+    0x984c9caa, 0xaec43385, 0x44f15cad, 0xb056caea, 0x4f485eb3, 0x99d9734d, 0x48991f66, 0x9caa302d,
+    0xf4016daf, 0x2c11f8f6, 0xcd3e9e38, 0x6446a10a, 0xfe44535a, 0xd993eeef, 0xc57df50b, 0xa20749e4,
+    0xcc0a8fb9, 0x66747d36, 0x24984711, 0x83677d1a, 0x25c5666b, 0xce1a38c4, 0xe5cdf9d1, 0x816e9745,
+    0xcfb4ce87, 0xcaf5276f, 0xa76ef7e5, 0xe1e4befb, 0xb2805b0d, 0x01b3d1c4, 0x388d8d47, 0x1c613627,
+    0x17bc980d, 0x28203ce0, 0x1ab5e802, 0xd5150349, 0x177058dd, 0xde52b0df, 0xa14c3503, 0x9bb80846,
+    0xebc07eb0, 0x64acbd3c, 0xbe426d11, 0xa87abc5b, 0x9c79abd7, 0xbbf8fb63, 0xedfa5b93, 0x0731671c,
+    0xe1a6b8de, 0xd9b4e7e5, 0x0f5a5901, 0xd8786bf6, 0x4243707d, 0x031fa3e0, 0x690bc56d, 0x88f2dbda,
+    0x1f5b6b67, 0x3152d65b, 0xcb40112f, 0x87e9378c, 0xabe02aee, 0xfea09f72, 0x95fbd8bb, 0xbf2e77d6,
+    0x4e37b07f, 0xec5fd36f, 0xe0f71b85, 0xb0e25a56, 0xb4598d34, 0xe7c1b871, 0xd550b8cf, 0x6c9ff71e,
+    0x627290df, 0xb7211905, 0x9ac335ad, 0xaba5cb72, 0xa85031da, 0x4ab165c2, 0x5829998d, 0x983e7562,
+    0xb6f452e6, 0x2f4ef134, 0x1133f78e, 0x626d2d0c, 0x68dd0003, 0xc6a85a4d, 0xddd2f369, 0xb23b2dd4,
+    0x06cb1923, 0x61882419, 0xb464cf7d, 0x469cb567, 0x5fa6ddba, 0x0c2be573, 0xcf434429, 0xd1056c39,
+    0x67b3802c, 0x7aac96ec, 0x14145f1a, 0x77dbba6a, 0x657d0898, 0x9930cfab, 0xa906eb7e, 0xb851cf29,
+    0x79663f7d, 0xbdc1b3f6, 0xb724fc2e, 0xd8685afa, 0x2af013d9, 0xaab98ffc, 0xa224a84e, 0x1a3bed37,
+    0x7288d37a, 0x4f7c82fb, 0x6217d5d2, 0x9dc95b3f, 0x34452e24, 0x41ca802b, 0xb648f9f2, 0x9f90f42f,
+    0x91a612d8, 0xab8cc3e7, 0x3d618bdc, 0x7d691d4e, 0x3d8a8d05, 0x550b27d9, 0x9efbe977, 0x3a15d770,
+    0x75f53baf, 0x93ab5cab, 0xb1b69d5d, 0x1b771488, 0xb02c08f7, 0x1eb574f5, 0xfc365de1, 0x2636b9f1,
+    0x9aadc83d, 0x0dec6f44, 0x0baa356c, 0xe019a385, 0x800c6d76, 0x54c16304, 0xeee58fc6, 0x4068cc41,
+    0x14b89932, 0x2c358af0, 0xfe40e581, 0x77716ae7, 0x5c379313, 0x03c1b3be, 0x338bb00b, 0x353f7021,
+    0x2e5f0394, 0x233e5a50, 0xfe62067f, 0x8966bf5c, 0x47f8ebf6, 0xabd8c18c, 0x900a2b15, 0xc2425c87,
+    0x3d54dfd5, 0xcd6bc491, 0x35af2434, 0xdc5f38fd, 0xf9cbb882, 0x31778f81, 0x04933663, 0x96a8d449,
+    0x632f2b8d, 0x72221a8d, 0xdda8cbbc, 0xc1a7ae6b, 0x9478daf1, 0x8dd1d017, 0x62a74549, 0xf9caf652,
+    0x00be9b1f, 0x9b1faa45, 0xa1e017b6, 0xde220aaa, 0xf31bb111, 0xc5a62ccd, 0x75f45f9c, 0x4693bb6b,
+    0xdb12a8a7, 0x915e1e78, 0xf1ba03bc, 0xe83f03f7, 0x108c8709, 0x0242758f, 0x9b8d04cd, 0xe39b264c,
+    0x98d05d2d, 0xf657d59b, 0x93c66093, 0xaea96781, 0x358b2f6a, 0x0a41eb31, 0x6ab4a8e2, 0x0c72cde3,
+    0x02efc8da, 0x326c50ae, 0x19bd3b0b, 0x4307edd7, 0x8210d861, 0xf65c1855, 0x8dd752cc, 0xa4ac5f8d,
+    0xcaf3fafd, 0x860cf8a4, 0x08d6c9c8, 0x887cea5c, 0x712c4f0a, 0xe601cc21, 0x7e47da93, 0xbdae641f,
+    0xced41aa0, 0xf0d770cb, 0x48674d9b, 0xc18c164d, 0x3de329ff, 0x299964ec, 0x20d18c4f, 0x786e222d,
+    0x67bfd5cf, 0x8b2cc359, 0x5949e904, 0xa38d645c, 0xbda61dbc, 0xed4adb6a, 0xba707d89, 0x0d1256e7,
+    0xcd683e0b, 0xb21acd5f, 0xe7647fbf, 0x2e863b75, 0x11df2dad, 0x0a1f6481, 0xcebc42b0, 0x17eb6bd4,
+    0xab0872e1, 0x44154c5a, 0x8bd7f24f, 0xb9f99a0f, 0x8f5e9de1, 0x1bc5c964, 0x643a3029, 0x9c8fd874,
+    0x8d3f2771, 0xb804e192, 0x6f7274aa, 0x6d542c56, 0xb1b15509, 0x2997e44a, 0xac80dfbb, 0x2ec130e7,
+    0x5cbe5daa, 0x525f4040, 0x1a16ae63, 0x759121ce, 0xcd5275ca, 0xbcd90241, 0x2cb38b45, 0x95842ead,
+    0xb0c401a5, 0xa94e97ac, 0xe7ee56bb, 0x35157b50, 0x206380bc, 0x56cc9c39, 0x96b8d869, 0x56ea57af,
+    0xa598f66f, 0x0e48105e, 0xd1f1b470, 0x5415b7d2, 0x8e306177, 0xc56d0cbb, 0x19bdde46, 0x6c486d24,
+    0xa662857a, 0x93d5b2a5, 0x9ca9b105, 0xeb810c96, 0xbbb24570, 0xa98cd74f, 0xe76fbe32, 0xe0af2c99,
+    0xf20a5b91, 0xa7003cab, 0x48f8d982, 0x11d4cf9d, 0x5ccd1847, 0xe032dbb1, 0x9b450803, 0xee65e9bb,
+    0x151e450f, 0x4eff4893, 0x1f81b9df, 0x8e8280cb, 0x0b6a0379, 0x5881de45, 0xfeb291bb, 0x820070a5,
+    0x728ffe8a, 0x747cdc78, 0x35cb1d69, 0x3e10e78a, 0x7023fc8d, 0x579d6a24, 0xe32b4cee, 0xf251e0ca,
+    0x5e4dded9, 0x1f878dad, 0x155d8818, 0xf635b577, 0x61ecf571, 0xb8ca622f, 0x42278d38, 0x2f93ae9d,
+    0x3fd7a8cc, 0x1ddaf422, 0x67f946ea, 0x6696df2d, 0xe5064944, 0xa2813587, 0x083d1df5, 0x81e28b28,
+    0x8c24eaa0, 0x2aa0a03a, 0x01be5aa0, 0x6a247aa5, 0x519f959b, 0x3ffca9cd, 0xf34750ad, 0xad0a1cce,
+    0x545512b8, 0x06d56824, 0xb3fd71be, 0x4f33cccc, 0x1d5443b6, 0xdbd883be, 0xbc25f42c, 0x3113f672,
+    0xcf296fe8, 0xef69a553, 0xd35d359f, 0x393de555, 0x3b376259, 0x28bcdc62, 0x1e254e9a, 0x812f03c4,
+    0x4f2bd4a6, 0x3f8fe38d, 0x0d81953a, 0xcbf68011, 0x7ecc0cbc, 0x3381d2b4, 0x4c61b3ec, 0x52899370,
+    0x3a6619f5, 0xfc5b785d, 0x9562c49c, 0xd6639cc6, 0x05cb04bc, 0x52f75763, 0x5f029966, 0x42f6cd6c,
+    0xddcfcccf, 0xb76d7828, 0xcea0af88, 0xc9218d65, 0x6ad4fcd8, 0x16a278b0, 0x8a2b68f3, 0x59023923,
+    0xd9a6daaf, 0x6c5d1304, 0x2efb7017, 0x3b485727, 0xdf671cbe, 0x56f4aac1, 0x692fa811, 0x9af415c8,
+    0x587b348c, 0x4c987566, 0xe78e9fe6, 0x9849985d, 0x251a39c7, 0xc799a415, 0xc1d9cc39, 0x6ddcea4d,
+    0x4862c9f6, 0x285874d2, 0x6b5fb86f, 0x90d571a1, 0x74b5c64e, 0x2b6a1cbb, 0x0d4fe786, 0xe270865f,
+    0x82343232, 0x67372f5f, 0x13271792, 0x4f3435b1, 0x8d6b8112, 0x53da1a79, 0xc5a07be3, 0x0dad8cda,
+    0x4e17c7c8, 0x14f7c6cb, 0x62352919, 0x41096269, 0x603774e9, 0x79697274, 0x10391864, 0xcd2220bf,
+    0x5726cac6, 0x2501f7a9, 0x63338885, 0x688923ec, 0x0ec76271, 0x16f3de8d, 0xdb3cc06e, 0xf4115f35,
+    0x0e45af89, 0xf5b4a2e9, 0x9a7e4b2d, 0xa95231e4, 0x73ca63a8, 0x7cd26a31, 0x519110f6, 0x66a771f0,
+    0x006a4604, 0x3fbe67b7, 0x86036699, 0x43971fe0, 0x7b8070d3, 0x5669309f, 0xd0fba6a9, 0x39d09dd8,
+    0x8bd47c38, 0xfac8579f, 0x9f086f7f, 0xad84d817, 0x3bcf6990, 0xc08df45c, 0xafbff059, 0x43acdde7,
+    0xf6fcd639, 0x4fe89c71, 0xb7155df3, 0x9c309088, 0x4ed9f2c1, 0xd4648d76, 0xb3cde157, 0x7ff2ac2b,
+    0x7ddca9d8, 0x20c590c4, 0x687075b2, 0x1cfe9c5d, 0x5497e0fe, 0x436e003c, 0xaabd348e, 0x8b6ec898,
+    0x9ddfa020, 0x1e4a2645, 0x7e739871, 0x761b5e01, 0xa4ef1d56, 0x453cedb8, 0xdd7239a4, 0x2a8918c8,
+    0x5473cfae, 0x57249a46, 0x03763a68, 0x2cdbba16, 0xec46a0cb, 0x2b2b0b93, 0xed91b49d, 0x61fd0e1e,
+    0xda1d372d, 0x2af4a5b8, 0x8cf40ee9, 0x5b9f478c, 0x3699c153, 0x81d509e4, 0x0c99528f, 0x75f9d494,
+    0xfcd22b84, 0x14e82bfc, 0xb9bc0781, 0x1a6c0968, 0x8971078f, 0x84071b53, 0xbf259fd8, 0xd10ffbff,
+    0xf1ea1e4d, 0xfc7529f1, 0x0df5ced3, 0xf714164c, 0x45a5b00d, 0xdb0ff193, 0x19ecf513, 0xd8a40452,
+    0x8a236b88, 0xf4b9ab5d, 0x94da1f98, 0x19fcce46, 0x08923894, 0x30b30cd4, 0xcc7e8edd, 0xcc448b52,
+    0xa00cc788, 0x4514f210, 0x22a70dec, 0xc1368353, 0x0be6366f, 0xf89e1e88, 0x0f6d5186, 0xf9ae36b7,
+    0xb4e97713, 0xd335ca39, 0xb2f32900, 0x748d714d, 0x39e866b0, 0xd18cfb22, 0x20bab094, 0xc9263fb1,
+    0x41f9b3c7, 0xb697b077, 0x07cb444e, 0x12db0201, 0x1bac2a59, 0xb2098266, 0x8581b8fb, 0x185ec7e7,
+    0x928d42c2, 0xe1969f44, 0xdc4f522e, 0x67d7bb24, 0xe62c7716, 0x9e4fb89f, 0xca4059ef, 0x8829cbe4,
+    0x767ab259, 0x1fd4e705, 0x4a71aa4f, 0x90f0ea7f, 0x3b18d25b, 0x42dc5c2c, 0xcaa62ead, 0x9d6227f7,
+    0xdf52d271, 0x650f31c9, 0xe19b8139, 0x63a62ca2, 0xd3bcca75, 0x3156e48f, 0x4839e7d5, 0x4c727735,
+    0x7bf23acd, 0x34bfd6c9, 0x4070c3f6, 0x29bafe55, 0xe70a4517, 0x7f082bb3, 0x68d95167, 0xc7a4d185,
+    0x43ee4778, 0x28a6e7b7, 0x1cd2edc6, 0xae3bc93e, 0x71ab1c73, 0xd3796d63, 0x2b373991, 0x338d4196,
+    0xac3fb8d2, 0xa3011da9, 0x80c9b070, 0x2d3bfda4, 0x53c5b98d, 0x2fd612ca, 0xacd64685, 0xd37b0326,
+    0xc827bdf6, 0xb1a43f8a, 0x6969ebc6, 0xded3c766, 0x28e9f359, 0xbb3cf2d2, 0xde6277c1, 0xbbed5acf,
+    0x4281aa87, 0x9aff884d, 0xe7416c28, 0x9637829f, 0x303645f3, 0x828f43de, 0xa7c3650a, 0x2d881576,
+    0xdc73f133, 0xc89cc4d7, 0x4c34c32a, 0xf8eeff1a, 0xb20f8304, 0x3359a50f, 0xcd4579ff, 0x903489a0,
+    0x60ee0c5f, 0x03fda32e, 0xc94a66a6, 0xcfa5556d, 0x8a8c3cf8, 0x4cf9fb96, 0x38b0b8a3, 0x1da52961,
+    0xaaef473b, 0xad4873f8, 0x1e155c1d, 0xff3a8582, 0xbffd1429, 0x6a80ed26, 0x1165c0ef, 0x9d8e37bc,
+    0x03d0fa06, 0xb8ba0d3d, 0x86eef1b7, 0x2a92f385, 0x046090b8, 0x7fd8fb3b, 0xdb199478, 0x9a629014,
+    0x082589af, 0x5f7c6898, 0x954d5188, 0xf933043d, 0xda1ec9f0, 0xcda3bbb4, 0xfed599bf, 0xa4b42ae6,
+    0x4b70b712, 0x04ce0df3, 0x1307472f, 0x7015fe25, 0x03fed6d9, 0x49caf1b2, 0xd40aad44, 0x0975c4c1,
+    0x2b9e4994, 0xfd3eca4e, 0x291767c5, 0xab91bcd2, 0x535412f1, 0x066729f1, 0xd80cfbad, 0xbb36eea8,
+    0x1abb31fd, 0x8503445f, 0xe42cbd59, 0x4139d5e7, 0xe95e0a74, 0xe3bb5ef6, 0xa3cb7c57, 0x384d8952,
+    0xb794f433, 0x6cbb4697, 0x4c83e46e, 0x0728116e, 0x9031986e, 0xb8633998, 0xb962666e, 0xaefdb282,
+    0x1633b8e3, 0xa1f3256e, 0xde6d4fac, 0xa876fc1f, 0xbc2b3f2c, 0x88eba2fb, 0xac898f39, 0x711c0060,
+    0xa9df216c, 0x3d6d549b, 0xba75f995, 0xb8b8e152, 0x2f78eaed, 0x502545c5, 0x9e8b5088, 0xea68263f,
+    0x0326c14b, 0xbfd939df, 0x4db5e268, 0x6accec28, 0x3340268d, 0x24492ac4, 0x753ddfc1, 0x8aaac88d,
+    0xc96ef891, 0x39dd2e4b, 0x86f20b2f, 0x54c58794, 0x00e98c73, 0x827c1e13, 0x9778461e, 0x96b2fcf2,
+    0xae7b315f, 0xfd9ddc13, 0x0462af9f, 0xea2e433d, 0xdcbc9690, 0x358d918c, 0xcf79e704, 0xe974fd7e,
+    0x4e8e3f94, 0x675be2c7, 0x3e0e98cc, 0x81afd0f7, 0x412a7fc0, 0x60fd6110, 0xf6e3f7ef, 0x3b19d8e2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000032768 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff2b64,
+    0x00000000,
+    0xb8d5bbe7, 0x0e108517, 0x456e9e09, 0x4283bb25, 0x538a30f4, 0xbfe56662, 0xed3491e8, 0x67b318b7,
+    0x1a29f86c, 0x2138b9fd, 0x1876005a, 0xf6efa18b, 0xffe9c27e, 0x143dc2a9, 0xbb9e5f8e, 0xc9886ef0,
+    0x0703e028, 0xbb4d7845, 0x02e31447, 0x9a9d1b52, 0x5ffc377c, 0x2dd5735e, 0x69de4d9f, 0x4d1347e6,
+    0x871b50c2, 0xb9098550, 0xfd2e2dd5, 0x72f93ae7, 0x35b62681, 0x42a2899d, 0xf6b84794, 0x7bd57c81,
+    0xfd1ab4d1, 0x137bbb2a, 0x0a42116e, 0xbd4fa60e, 0xa17a0412, 0xb7b8299a, 0xe559cd6b, 0x206f1aac,
+    0x007244ff, 0xd32fa695, 0x97e9b9ca, 0x2bb8e220, 0x3c67c643, 0x4c7e18aa, 0x45f52c7a, 0x58521468,
+    0x41a2c2cb, 0x4c9acca2, 0xe60e1f1c, 0xc1b3138f, 0x9d52578b, 0xe75ff8fe, 0xa379c7d7, 0x69098490,
+    0xfd484218, 0x330136c4, 0xa82d7479, 0xab7ead1b, 0x61d2286f, 0xcc6eb05c, 0x332e1109, 0xd6d9c98a,
+    0xe3b02aa6, 0x1c235c84, 0xa43f2f0d, 0x1ff4ac71, 0x5ab7ffe7, 0xb4500607, 0x41e9578d, 0x3b2f3e6a,
+    0x66b04376, 0xe9e6104b, 0x13cad56c, 0xa5510f7c, 0xda190733, 0x3cad7812, 0xe4c64dbe, 0xb78e4261,
+    0x86a68ec5, 0x30dc68cb, 0x1048cefc, 0x5a743c13, 0x440a3e56, 0xd8b66e0e, 0x2d6a5d40, 0x1caf4fc7,
+    0x0f4ddf06, 0xdcfe0d07, 0x40969453, 0x64c72b7e, 0xcde6566c, 0x786f2537, 0x6d71986d, 0x3b97a074,
+    0x62f3a078, 0x9b0c64a0, 0x26b0ceb0, 0x4d79f7f8, 0xf006ed4a, 0x9643175e, 0xe1b95ebe, 0x89ca22d0,
+    0x70c6652d, 0x3161b18c, 0xd3fcec96, 0xd666008a, 0x4f383e70, 0x7b4974ee, 0x0550cabd, 0x4778484a,
+    0xebbc5df2, 0x916308e0, 0xf85d76d3, 0x63cc8cd7, 0xff65e2a0, 0x640a16f8, 0x59faec09, 0xcff3d526,
+    0xe55f98fb, 0x297347d5, 0x2711f245, 0x9be0c497, 0xfcae0444, 0xfa33012f, 0x9ceb6532, 0x8f4db564,
+    0x472ff876, 0x2ee483ba, 0x333e8968, 0x4308ee49, 0x72522ba9, 0x9f90673d, 0xd5480c92, 0x81cc7766,
+    0xa9a1555d, 0x0215eb27, 0x57a23928, 0xa608d9df, 0x85419a7c, 0xc6ff211a, 0x4d829a6f, 0xeab182b9,
+    0xac092e91, 0x83834528, 0x7f66e357, 0x5b7823ef, 0xb1a73830, 0xfcd0d7c9, 0xbfbe9a39, 0x1cd045cf,
+    0x9dd962f2, 0x1d4c43a7, 0x467db5b5, 0xf4cec0e0, 0xb7640b1c, 0xc1e8a44e, 0xbe1be98d, 0x79bae6e3,
+    0xbcb107c3, 0x69c88b0f, 0xa9f02237, 0x6be240d8, 0x80610abb, 0x5f6659e6, 0xb69657f1, 0x194174b1,
+    0xde399897, 0x8f260d04, 0x0a797562, 0xbf846cdf, 0x01788ef3, 0x505e5dcc, 0x1a0ef29a, 0x5dcbdf82,
+    0xfef9c200, 0x4b1a623d, 0x32c89089, 0x07f58b63, 0x56b8734e, 0x496e1abd, 0xf774a83a, 0xeb38ab13,
+    0x4f49901a, 0x2c66bd78, 0x205197ce, 0x0c5860c8, 0xf467b3c0, 0xe88c36b4, 0xff3e6bba, 0xbc2389e7,
+    0x33ec1758, 0x0d1732a9, 0xe111c4a5, 0x320f9563, 0x625f14be, 0x9eeb091b, 0xb9617934, 0x79e760b9,
+    0x1dfce69e, 0xe6785c17, 0xd65b30d6, 0xf9696550, 0x87f78e94, 0x7778bcb8, 0x3a68bed7, 0xd998607e,
+    0x624af84b, 0xf7281d9d, 0xb0c06fbe, 0x1f1235a1, 0xa8bcfb97, 0x81696885, 0x071da16f, 0xa876f9bc,
+    0xe17f4012, 0x6fe40c06, 0x8321feb0, 0x6a5e0a4f, 0x230ccc54, 0x3b45b0a7, 0xa422627b, 0x10b13491,
+    0x32c05283, 0x6d529da5, 0xcb3b0834, 0x00f8f5f1, 0x30b2ed59, 0xd7aa1f56, 0xfc1ca13e, 0x3311de05,
+    0x2c39c31e, 0x377ab3d3, 0x0c6086cd, 0x6bc397a9, 0xfc30768a, 0x7840b1ea, 0xc8c6ad0c, 0x02711cdb,
+    0x8969a13b, 0xa6dcaf7a, 0x9109dcdf, 0xe5735f77, 0x838b9b3d, 0x5fc7a17c, 0xc827e0d2, 0xf55c0d5c,
+    0x8c148447, 0x93b6e411, 0xa6b33434, 0x41b6801b, 0x31979be7, 0xfe8a854e, 0xa8e5ef93, 0x6144dd84,
+    0x67c4e42f, 0xde22c3d7, 0x2a2247a8, 0x9aeeeb65, 0x56ec5020, 0x7305ce56, 0x80e57258, 0x9f539f60,
+    0xbba3d853, 0x3b436d50, 0x3813f05d, 0xdb5d41c4, 0x14aeac14, 0xe68cdc0d, 0xca613622, 0x97b84b73,
+    0x43ee0ce3, 0x66f31e3e, 0x3a8c69f9, 0xc6bbcfb6, 0x40f7c6f3, 0xad6b6ffb, 0x48fb7725, 0xaf73fbf1,
+    0x96557a05, 0x21cd4ce3, 0x5e43a830, 0x0cefd762, 0xd3fa08c3, 0x2de298d0, 0xd1f03de5, 0x948fc5d8,
+    0x138c643d, 0x414de158, 0x0816b80f, 0xc475bffb, 0x5ec5bbd1, 0xa22e3840, 0x680370d3, 0x9b55b3e0,
+    0x8139a24e, 0xf6c40fae, 0x9648f179, 0xefaabad8, 0x1cc7637b, 0x35d1472b, 0xfebb4f6c, 0xa21860d6,
+    0x70e2c843, 0x1fc63082, 0xcfb9f50b, 0x90d6ab05, 0xa6010804, 0x05eb0070, 0xd093b3f8, 0xc59f1392,
+    0x1de641f0, 0x4f7e1cc3, 0x8eb9c550, 0x0e5d62de, 0x802de073, 0xb6a1178a, 0x0ac1f76d, 0xbd965efd,
+    0x92535d6e, 0x0096ffda, 0x621b8761, 0x939da841, 0x46cf979d, 0x8c516ce2, 0xc8935726, 0x1eeb7843,
+    0x800ea6ae, 0x7af1a224, 0x93c3ea27, 0x2bed1e0b, 0xa5e92348, 0x3ba749b7, 0xfabc0e6a, 0x0449af37,
+    0xbd9626b3, 0xa27a8fa6, 0xa431cfed, 0x3082aae3, 0xa0c329a6, 0xb13aa065, 0x227da4f2, 0x84fdb5f8,
+    0x893281f1, 0x4bffd0d8, 0x442345e9, 0x317be4c4, 0x67ef41b0, 0x1f1fe25b, 0xa9db12d5, 0xba8b9b74,
+    0xfc79d3db, 0xbab82c74, 0x350624d2, 0xae5b4666, 0xf22f2be5, 0x55ea9536, 0x6c9d955f, 0xe5aebc35,
+    0xf9ca0101, 0x8e8d387b, 0x1d8d541b, 0x5c580e91, 0xb3cf715e, 0x5b21543f, 0x4eda9572, 0x20444a66,
+    0xd7188ff6, 0xb8ff1ca1, 0xe2aa3acd, 0x6a8816ba, 0xa759c979, 0x0d16e0f5, 0x2fc5b710, 0x84d78e22,
+    0xb922cbf9, 0x26b29e5c, 0x2ebf9945, 0x670139fb, 0xc5afc9b2, 0x8a910ef6, 0x46a94618, 0x8a481e04,
+    0xb94716b7, 0xbcaabf9c, 0x93a62e8a, 0x4dc8642a, 0xa8e7105c, 0x99733c8a, 0xb7c18aa3, 0x96697d5c,
+    0xef472050, 0x625bc6ba, 0x3f579ed8, 0xb537dd5c, 0xed4bb23a, 0xaef2df9e, 0x65932bf3, 0x65424b7e,
+    0xff67937d, 0xcaac809d, 0x1fd5c7cb, 0xbfb977d7, 0xe2824849, 0xb1cd1a6e, 0xa88a8d1e, 0xf70574ad,
+    0x72f4c490, 0x04b8a39c, 0xcb4aa46b, 0xa082d3eb, 0x98a41e80, 0x3b95a3ad, 0xe639b3ca, 0xe4230b51,
+    0x16801244, 0x53506ac5, 0xa23aadc5, 0x7293257f, 0xe4d15e9b, 0x3b63fb80, 0xa7705653, 0x8f188c9c,
+    0xebe00e20, 0x7ef4c06f, 0x5d9970fd, 0x370a5830, 0x7a564dcb, 0x301daad1, 0xc4331e86, 0x4f1ef4b9,
+    0x0a33967a, 0xa6e06b04, 0x21de4e00, 0xc28f2327, 0x4b4d23fa, 0xb084c37a, 0x859de99b, 0xef605e51,
+    0xce917e83, 0xd382abd1, 0x2245170e, 0x0350160d, 0xe77ef01c, 0x93dd5555, 0x28dee701, 0x562506d2,
+    0xd7479894, 0xed9b73ac, 0xc2f86cfc, 0x3f4de578, 0x463f1783, 0x6688b6e5, 0xcdaed417, 0x8b6d4971,
+    0x280af4e3, 0x39f1d448, 0x5f4dd48e, 0xecc974b6, 0x35bbe53b, 0x18362fd8, 0x64288ede, 0x13161aa7,
+    0xf2b3a0ec, 0x51bae7cc, 0xada0a685, 0x08644380, 0xe4ab51ac, 0xdf36b44b, 0x41ec6314, 0x1298c337,
+    0xd32f35f3, 0x8e4233e7, 0x562ff8c6, 0x387d3020, 0x91c7fa27, 0x27cabc79, 0xcffe0c3d, 0xa4575774,
+    0x9d3a5d8f, 0xace4894b, 0x4ffdff9f, 0x8f5ac45e, 0x3bb85486, 0xcaf77898, 0xcd888117, 0x69c3dd18,
+    0xda528876, 0x21f646d1, 0x11140f3c, 0x5fa66d74, 0xcaa8d7cb, 0xa96fd5d6, 0x927c7fa7, 0xe9eb4fae,
+    0x61ed0c2f, 0x82d76071, 0xe02d1b2b, 0x2574bb92, 0xe424b1b7, 0x8f141169, 0xabaa3743, 0x2ab57982,
+    0x96f83b00, 0x39cf4b83, 0x2c1d54ec, 0x02b9ea2d, 0xb5862a6a, 0xca134dad, 0xb778c344, 0x18bc90e7,
+    0x0b8ee7cf, 0x5158dd78, 0x32ce6e6c, 0x0c36848e, 0x20e96987, 0x017c45ca, 0x1d166796, 0xb50fbf88,
+    0xfdc75949, 0x513ca044, 0x4dd36dcc, 0x50d383da, 0x50fef6e1, 0x596017ba, 0xe0a18766, 0xe60037fa,
+    0x0ce3f78c, 0xdf84bf66, 0xd4691759, 0x416c0aca, 0x47a1ae16, 0xb5f3fc75, 0xeef09faa, 0x32b31a70,
+    0x6dbec998, 0x332efe9e, 0xa6e99b87, 0x5b074fea, 0xfba1e001, 0xa5507675, 0x1a8cdfda, 0xdf182e8c,
+    0xeea19b95, 0xd1b70bd2, 0xd9b6e74c, 0xd42a91d0, 0x4a6e85f3, 0x23fe47bd, 0xcb706382, 0x6ab85755,
+    0xb5ea5c70, 0x2834338c, 0xf8301be6, 0xe1d9cf19, 0xefd9a66c, 0x0be7ffba, 0x1fc1e2e6, 0xb1d885a0,
+    0xee1e7bba, 0x732d4bf5, 0x6ec2d63b, 0xa47de212, 0x42f1e6eb, 0xb2419bbd, 0x7385f76a, 0x9d74eaaa,
+    0xf97eef6b, 0xc1acc105, 0x21a2af8f, 0xb214e7a0, 0x295b85b2, 0xe22a889f, 0x7830bbf0, 0xa5d5fe6b,
+    0x6bfc6598, 0x6b0e8865, 0x78ce66da, 0x5e368d3c, 0xcd9fbcd9, 0x59fcd2ce, 0x6d1aa80f, 0x2ea70a37,
+    0x8061b613, 0x189a3f06, 0x24fb1c0b, 0xcd19daf8, 0xa1fcf271, 0xd2f3f363, 0xb2cbf672, 0xd48ca57b,
+    0x457118f9, 0x281206ab, 0x9632e76b, 0xd2fc2fbf, 0x5ee05f84, 0x1d6792b1, 0xe2b13fe2, 0xe6bd4ff7,
+    0x6cd41b54, 0xd0163c0a, 0x2e289289, 0xf76b69dd, 0x884813d3, 0xc0ae5810, 0xc9e003dc, 0xd3dced3b,
+    0x41a14609, 0xbb813d7e, 0xa8e22c77, 0xdca9cbf4, 0x28d40e38, 0x57bff4a5, 0x3395873d, 0x5093297f,
+    0x2b6e657b, 0x91a8e8c4, 0x339c7ddc, 0xac2e973a, 0x35f22039, 0x684ead9b, 0xd7339393, 0xde193397,
+    0x7ce8dc8d, 0x49c104f1, 0xdbcd3e4c, 0x27b67188, 0x72f4cb58, 0xf04bb8fa, 0xee102f94, 0x96463d40,
+    0xdf8f42c6, 0x4ac1a459, 0x34464662, 0xd87c67cc, 0xed072559, 0x55f5e667, 0x2c7d1ad8, 0xd6818ff4,
+    0x5a4f7162, 0x525dcae7, 0x898c8389, 0xf85b7731, 0x350ff547, 0x434655c3, 0x813d69a7, 0x2cb8cff7,
+    0x26681d11, 0x9d9c6773, 0xaae41dfa, 0x077bc39a, 0x68e2a99a, 0x31a15599, 0xc024d825, 0xc3a25778,
+    0xc6099ac6, 0xb469b86c, 0x5dbe991e, 0x841de65e, 0x1153d10d, 0x9f3485c3, 0xa07fe647, 0xc4605955,
+    0x21559385, 0x30bb26d9, 0xe097c3d4, 0x2c396ca5, 0x219e39b9, 0x64b665b7, 0x977c6d2b, 0x33a6ae8b,
+    0x3c44b090, 0xdf1e2695, 0x64da8aad, 0x5e801eef, 0x0cc4c46d, 0xd0432525, 0x6a139fbd, 0x2f52d1af,
+    0x8cb60b02, 0x067364c1, 0x9c610e7f, 0xad7133b8, 0xd9369e35, 0x63271dcb, 0x0d6d7c2d, 0x54d19cfd,
+    0x9c509d18, 0xd97e004d, 0x106760db, 0x85a03bdc, 0xab4c8dfa, 0xaa09e799, 0x700bedf6, 0x6a5adfb7,
+    0xb8e141fe, 0x663b96ef, 0x7640df4d, 0x455b1cf5, 0xc36b1492, 0xdf4c35e8, 0xce789178, 0x560e95cd,
+    0x667a7a38, 0x8ec33db0, 0x909ab15b, 0xbcc63e9d, 0x6f009052, 0x4c3f2636, 0xb5de30bc, 0x6fe61a2b,
+    0xc991a4e8, 0x000ebd55, 0x9dc48648, 0xa8077224, 0x8fe54e6c, 0x6cf261a5, 0xb1e5522b, 0xba0d9b59,
+    0xdb42d967, 0x539e6273, 0xb8728d40, 0x321bd58b, 0xb2a661ec, 0xfb0d9294, 0xaec498b9, 0x28438a4b,
+    0x9b9cfc20, 0x8101c8d3, 0x8a7711a0, 0xd916134d, 0xd1198c0d, 0x51e1f935, 0x0a39329f, 0xbc5acad5,
+    0xdcfb501d, 0x490f7d42, 0x017d1364, 0xb74c6864, 0x4654f137, 0xf3aed7d6, 0x0225b166, 0x54a114a4,
+    0x5fc0c7b6, 0x62f436eb, 0x18d211e4, 0x742279d6, 0x64a69898, 0x00dbf357, 0x61ba597b, 0xb7b15d21,
+    0x81a489fa, 0x1ed6ec71, 0x26eb268f, 0xa094ef0c, 0x230cac59, 0x46b7824d, 0xd5a5f113, 0x76c38243,
+    0xecb39cc9, 0x30d08343, 0xa3409b71, 0x1e80cc79, 0x775744b2, 0x64b49600, 0xf47f803c, 0x3a55932a,
+    0xdbe36c42, 0x43eb5063, 0xbc04e53b, 0x2b674e01, 0x0a4361a3, 0x7c680c7b, 0xba97fec9, 0x9cc96b98,
+    0xb703d57d, 0x30662c53, 0x3d2d8b22, 0x42330987, 0xe27ec1d5, 0xff09532a, 0xabf3fb1b, 0x5edfb633,
+    0x68e65fcf, 0xe55794f7, 0xf1fe414e, 0xadb8f12d, 0xbf7eaee0, 0x21f0d5d7, 0xdb6737eb, 0x89c7eaa8,
+    0xab178544, 0x6d32c39e, 0x90e91bc6, 0x9a475b98, 0x88a40426, 0x4913b4bf, 0xc616532f, 0x9fa927c4,
+    0xc7b50399, 0x136c2398, 0xe94de3cc, 0x77f70aed, 0xe11bbd02, 0xb52910a2, 0x1b6c4f2d, 0xb21dcabd,
+    0x8305a4c5, 0x9e838c20, 0xa62d7382, 0x46ab7ecc, 0xd34ae41a, 0x9f38c4ea, 0x223e31d2, 0xa45b9ae8,
+    0xc5afc539, 0x55841cd6, 0xb5654b85, 0xa8eb18bd, 0x25c803a6, 0x442166c4, 0x73889201, 0x24d38788,
+    0x05b92abd, 0x5a11de3b, 0x36f19481, 0x1d0d7ec8, 0xe443ebd8, 0x8b923e79, 0x6d4c6194, 0x0024d1da,
+    0xfd482448, 0x8733fcd8, 0x17e77531, 0x9695095f, 0xd2622706, 0x20b3c7a8, 0xdd70bc79, 0x41d3b012,
+    0xf6b00cf8, 0x73f10312, 0xd52df580, 0xd3d6a170, 0x07e53736, 0xa3ffb3f6, 0x8983e5da, 0xbd5c38c5,
+    0xee48f02d, 0xc6fe23c5, 0x973b64f8, 0xcfa5447b, 0xd55b28e3, 0xd13790a4, 0x7997680a, 0x909bc50b,
+    0xfe8c8574, 0x9a8dbb2b, 0x0ff0c58b, 0x1fb3d458, 0xfdef01fe, 0x5b45ab5c, 0x6c132f4a, 0x5b16991a,
+    0xcde3aa93, 0x1a5e3260, 0xb03e1db1, 0x7d1d8bc6, 0xa3a7593a, 0x562c94e0, 0x1329a934, 0xf454550e,
+    0x6defb9ab, 0xbd00f94c, 0xfc5118e9, 0xbb2fbbf3, 0x53027439, 0xdcda522c, 0x55c1da5a, 0x8cd76c0b,
+    0xe766d430, 0xbb7b0a87, 0x13b5e5b7, 0x4ce7fd97, 0x36cfc4a6, 0x68af1e9a, 0x9a198f82, 0xc94c2c2d,
+    0xd341749c, 0xe8300210, 0xe58f1759, 0x3773599a, 0xb33b0696, 0x9259f91a, 0xf6d3463f, 0x1e41c47d,
+    0x013fe70f, 0x42aacffe, 0x71415a09, 0xc29fa59d, 0xe4213e8f, 0x52b9e55c, 0x6047a88c, 0xe6c844f7,
+    0xcbda5f56, 0xd3293a89, 0x573c1403, 0x0d2f98a0, 0x68cb115b, 0xb652b218, 0x69f2f4ee, 0xd4ce67d9,
+    0x263c360a, 0x636fddbb, 0x1528cb34, 0xae42f57d, 0x780983e6, 0xa5cd6953, 0x6534808e, 0xf445d605,
+    0x8d02bdba, 0xa5b70273, 0x422a5068, 0x2086647b, 0x95f04c1a, 0x03acfb39, 0x2f08bd60, 0x6db915ed,
+    0x1172d67c, 0x1f7d6d77, 0xa1b0329f, 0xc12e8bf9, 0x23aed657, 0xdc2c17c2, 0x2f983a92, 0xda7f63e4,
+    0x2b56bc5b, 0x5a06541e, 0x6d0f7edc, 0xccee93db, 0x5b4c2d0e, 0x419f3135, 0x8095fdcf, 0x2965e178,
+    0xf346f34e, 0x77dfbc0c, 0xe621384f, 0x84ebc211, 0xa8af6800, 0x1eee85c4, 0x1a292777, 0x85a0f972,
+    0x0bee3cca, 0x394365da, 0x4c9c73a1, 0x72d17d26, 0x5a9ae22b, 0x29788db4, 0xcd1d0aa1, 0xa6fdd4fa,
+    0x8d668b1e, 0x03c8d44f, 0xe20c772c, 0x37b10ff9, 0x43601481, 0x8a443c20, 0x13789e99, 0xce7eeda4,
+    0x3bb47219, 0x57a22105, 0x61796ae7, 0x97ded2fd, 0x05aa5116, 0x8bb54032, 0x7d8e3128, 0xe4463062,
+    0x0059eb23, 0x804fbc56, 0x75ff9c1e, 0x220edccc, 0xac5105ad, 0x1b5be99f, 0x6704d60c, 0x9b676615,
+    0xc5f2544e, 0x3b5f53f5, 0x8e48f57c, 0x919fe9e8, 0xf1c07630, 0x36b78113, 0x204814e4, 0x4b46f816,
+    0xae70ec66, 0x14854487, 0x886161dc, 0x3ba18b37, 0xeeae5661, 0xb9563854, 0x2f061ca3, 0x027f565b,
+    0x83a7c423, 0x0dd1999d, 0xe3f7ba94, 0x25a22f47, 0xbe524439, 0x07b5201d, 0xd1fa5120, 0x0a13b193,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000016384 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffff95b1,
+    0x00000000,
+    0xd986c20b, 0x686da869, 0x5d1d4fd8, 0x5b05f4c2, 0xeef18384, 0x9aee88f7, 0x6e7ad89a, 0x55416d56,
+    0x35482430, 0x2cb9572c, 0x4628bee7, 0xc8b0d71a, 0xdc434119, 0x43b307d5, 0xfd7b1c77, 0x00eddd40,
+    0xee8cf729, 0x0ce77a0c, 0xeddff5c3, 0x600498db, 0xeeebc7a0, 0xca08b3d2, 0x1aa3e35d, 0xecf66558,
+    0x70667772, 0x72ecbafb, 0xc99c0e1c, 0xe0131258, 0x5e119408, 0x8f9e8916, 0x31f670f9, 0xf67c96bf,
+    0x2b8054a2, 0x9e847be0, 0xc346dedf, 0x3967aa4a, 0xb9b8ed93, 0xc938b16d, 0x4e89a62e, 0x15f9df48,
+    0x8e0ca11e, 0x024bfc40, 0x09e326ca, 0xc2009f7c, 0x1a8a7273, 0xb1f29a06, 0xd99e1146, 0xe90d2a0f,
+    0xb48c668e, 0x6cc5ffe7, 0x412ed086, 0xca523976, 0x8b39dc05, 0xe8e19bb9, 0x6909f229, 0x62993eed,
+    0x6201bbee, 0x49783bec, 0xe19b3b18, 0xbf94947c, 0xb2eb3c19, 0xb4f937aa, 0x2dd87445, 0x9f46d6a4,
+    0x61641ea6, 0xb3671c67, 0xda292dcf, 0xdd7b9540, 0xdb2bd744, 0xa4dd6e73, 0x463c3faa, 0x39d032d3,
+    0xd2847b25, 0x5b050a2e, 0xbadaaa5c, 0x0f4e1049, 0x3a65e5ed, 0x9cd9829b, 0x1a67a4f2, 0xeb0b6339,
+    0x749bc76a, 0x741b14ef, 0x41371813, 0x4362686d, 0x9c1c55a5, 0xcd4900fd, 0x881e517b, 0x89c90a21,
+    0xd043a8b9, 0x693efbc3, 0xbcb2d031, 0x2060e064, 0x5888d986, 0xfe9ba74a, 0xdbf60cc3, 0x23962a3a,
+    0xce1fed0d, 0x047a75ba, 0x88af5ca4, 0xbcac08d4, 0xa3fdb68d, 0x50117c14, 0xbae53c7d, 0x7ac09d07,
+    0x0df26ebf, 0xa2b7f537, 0xc5369685, 0x85d14cbd, 0xfa7b6e70, 0xa818f7c2, 0x6d89bd62, 0xcca07aa7,
+    0x395af863, 0x645551a9, 0x80344c92, 0xcfe244b9, 0x16896d18, 0x9d173e79, 0xe7daa2b1, 0x0a31c026,
+    0xcfedf48d, 0xebc36fed, 0xd36c9708, 0x7848bffb, 0x1f03b553, 0xc2f408ac, 0x74329c1c, 0x9c779d91,
+    0x2d3eb179, 0x195b8245, 0x267b0fe3, 0xc87119eb, 0xc5d75954, 0x03b64bb5, 0x86aa576e, 0xd1e6808e,
+    0x0aedc75a, 0x29ff6bec, 0x51a63492, 0xb2808f8f, 0xa494b7cb, 0xbdf62043, 0xebe0bea0, 0x4f8b56b0,
+    0xf9053293, 0x7cc030dd, 0x774295b6, 0x31635999, 0x162bbe92, 0x16430d91, 0xc45b40a9, 0xac27b8f5,
+    0xf9d87f70, 0xe8667585, 0x5ce6ebcf, 0xd45297ae, 0x90d2a025, 0x3f0fd6bf, 0x7a0e470b, 0x6cb80b3d,
+    0xbac8c6e0, 0xd2a43d95, 0xa8139110, 0x45ff7c4c, 0xdbf87a90, 0x1fe4f3a3, 0x9ff0f24c, 0xb4d2248b,
+    0xb78f16c1, 0x5dfdd800, 0x91641bc8, 0x96b6cc2c, 0x8e334cf2, 0x7d4d5c80, 0x0271253d, 0xa4beb42e,
+    0x4077a958, 0x0b4eb33f, 0x78256286, 0x96758997, 0x25bf6710, 0x911344dc, 0x55554bc8, 0x6eada4ee,
+    0xc8715739, 0xae16c1f0, 0x048108fe, 0x42f796f8, 0x1b17d5f1, 0xc70b1290, 0xedf9a69f, 0xf936aee3,
+    0x0dfeebad, 0xe35d431d, 0x5ffab3f6, 0x8157abe6, 0x22ab3643, 0x2a5ca248, 0x41310717, 0x09f359c3,
+    0xf7c8816b, 0xae61dd28, 0xec327111, 0xa4ff9363, 0x42aad9b8, 0x2f3fe824, 0x4fbc6e22, 0x5456c573,
+    0xe1e50493, 0x359253c2, 0xdca3804e, 0x8cf60621, 0x456c56b2, 0xe4dc6c49, 0xa1d13282, 0xe1c96523,
+    0xb45b3c27, 0xe79e1511, 0xd17fd592, 0x49c02fa6, 0x754ea957, 0xebaf22d2, 0x191e11b0, 0x9f25771d,
+    0x1d449e6e, 0xcbe06089, 0xee933020, 0x678beb0f, 0xd22bb75b, 0xed5253f5, 0xd1a30db5, 0x5fb23574,
+    0xb9f6fcde, 0xf1dc6623, 0xfafba29d, 0xedd2c24b, 0xa3d34fcc, 0x77db5fdf, 0x84d79ec5, 0xa638abbb,
+    0x79dc0886, 0x31636c48, 0x7f27820f, 0x7d74bf43, 0xb0e7f756, 0x33ad8865, 0x673507c6, 0x6c1292d9,
+    0xfcf341e6, 0x14cc756f, 0x6aec2128, 0xe29f6c6a, 0xa1c5d0e0, 0xe35c6909, 0xa7a3fe06, 0x489cc75a,
+    0xd53ec97a, 0x158d4fe9, 0x41d36ff2, 0xfd17b87b, 0x40eb17b6, 0x4cd7d91a, 0x2bbd8161, 0xaecd7643,
+    0xbc2643cc, 0x05dc0d71, 0x55c3e1e1, 0x4c2a9bef, 0x1e8e1761, 0xbde2a395, 0x29c251a8, 0x964a0e63,
+    0xefae7b8a, 0xd860730a, 0x094db0b5, 0x97f8c952, 0xe4142e40, 0x015fd5a6, 0x0deec789, 0x4de8d397,
+    0xda6eb707, 0x772d0d38, 0xb3c86a77, 0x03c66995, 0x26ea67ec, 0xff7b5072, 0x8341d79e, 0xd71a5c07,
+    0xe1be1b18, 0xeb784333, 0x4be9b73c, 0x184fb4cc, 0x7e995290, 0xa2253a7c, 0x87550325, 0x7246527f,
+    0xcb59d9d9, 0x168ecb00, 0xb0a54222, 0xba7f52cc, 0xab0a39ff, 0xdfce8f0d, 0xb555c6d1, 0x6744e715,
+    0x67f79e51, 0x66e41b4f, 0x028ee630, 0x9317d807, 0xad8481ef, 0x6289cba3, 0xe0417c24, 0x932c2b83,
+    0x764ac0f9, 0xa4b492bf, 0x39bbebc9, 0xf5d2e255, 0x5c5955fa, 0x6a4ad796, 0x82e89f35, 0x8bb55181,
+    0x2a981dc5, 0x1b391fac, 0xcd023498, 0xb3b0c220, 0xf95fc4a3, 0xa8e4991a, 0x48e829df, 0xa4088529,
+    0x735158f1, 0x7da40549, 0x9192a841, 0xc992f0c4, 0x68a5b6cf, 0x6111a15c, 0x5c965797, 0x8233969b,
+    0xf703d15a, 0x146b1d57, 0xbe05fb6a, 0x86c75eae, 0xb8cbbd3e, 0xedc3b561, 0x7e46681d, 0x91fec3c8,
+    0xb7f28385, 0x4f862324, 0xeecf2904, 0x632e9264, 0x27c5ab45, 0x51c159e9, 0x9cf96983, 0x26de8d71,
+    0xf9bed4f6, 0x21ebca88, 0x9afc0f6f, 0x2a47b2d4, 0xf14eea47, 0x47750a57, 0xdcb7d203, 0x74341220,
+    0x36f333cb, 0xdbf51f63, 0xda46e20f, 0x0e84246c, 0x00f644be, 0xcc9c8280, 0xa107b5b3, 0xd7e4f467,
+    0x44394641, 0xab6d26d4, 0x396b1b3f, 0xa676b3f8, 0xfdde60d0, 0x14e20f56, 0xd40cabec, 0xebe019b6,
+    0xd0e6b464, 0x459acaa3, 0x57cb7d62, 0xf8c256db, 0xa15209e9, 0x573c6d59, 0xdcec26db, 0xdd6b580f,
+    0x2ce70416, 0x601bc790, 0x0d395cbb, 0x258bc757, 0x7e186ce9, 0x178dcde6, 0x8464745e, 0x184bf3d5,
+    0x5c3ff826, 0xa24792ef, 0x00aee686, 0x7ba2daff, 0xff9746b6, 0x33a419f2, 0xd3923995, 0xa80924b3,
+    0xeae8d1e5, 0xdf89741e, 0x739c018f, 0xf6dc55c7, 0xd6f87c3c, 0xd4d8059d, 0xa7c777a1, 0x7a1f0c66,
+    0x1b57392f, 0xa86b1d5c, 0x393c1e29, 0x64e53a64, 0x35aabefb, 0x9e4ca134, 0x18c58e20, 0xefd86b2d,
+    0x6c54a2e1, 0xc51ca20a, 0x35f7103b, 0xb4304219, 0xa473f8e7, 0xe283be1b, 0x3387673b, 0xb1c22e51,
+    0xbc936ebd, 0x170fa7f1, 0xf5081476, 0x42f12378, 0x723f1626, 0x5255f19a, 0x278046f6, 0x5bb7501c,
+    0xeaf79b3f, 0x52785213, 0x11e0b361, 0x827d7e0e, 0xe117a1ff, 0xfe79cf4a, 0x415f2b98, 0xe574acd4,
+    0x9a678768, 0x49f41217, 0xf2a2bc77, 0xe2558446, 0x6f0d239a, 0x9aaeaca3, 0x37ecf3fc, 0xb643d26c,
+    0x4562669a, 0xfa06e709, 0x4dd87604, 0xf9af88bf, 0x5c629b85, 0x0b196d20, 0x42e93252, 0x9cabdd54,
+    0xe9d1ea70, 0xf2cd7ff4, 0x2a00d74c, 0x86e25e11, 0x37838074, 0x8ee434c1, 0xc2dae8fe, 0x44904e56,
+    0xe5f23b54, 0xad34bd9d, 0x2b9cdbdd, 0x6bfa7417, 0x17a0d68b, 0x9707d15b, 0x586b129a, 0x14bc73f0,
+    0x361f1aa8, 0x65709705, 0xda821fb2, 0x2573fb4d, 0x481dbf5d, 0x09286b37, 0x098b5b3b, 0x85a029bf,
+    0x7b33dedd, 0xd712201e, 0x2e9468e7, 0x651047f8, 0xa753be4f, 0x06345ab8, 0x911f11c7, 0xdded7d8e,
+    0xdd7fd5d5, 0x4bc323a5, 0x422241d6, 0xa92d3073, 0x33533bf0, 0xefda3a63, 0x9e58742a, 0xa0bc5d5b,
+    0xda3af242, 0x169e2414, 0x502b2db3, 0x517d759d, 0x00ea7280, 0xd3e8fac9, 0xb854dfe6, 0x3449a1f1,
+    0x822efffd, 0x79324577, 0x7190b0e8, 0x7bea3172, 0xc4bfd385, 0x6dc058a0, 0x08838aaf, 0x963219a6,
+    0x30f5ea61, 0x847cbe0f, 0x58abdd40, 0xe6b8402d, 0xd676da86, 0x2a206fb9, 0x14ba4152, 0x80da3cc0,
+    0x7d3ac8a0, 0x517a8d66, 0xb6c4894f, 0x20e10756, 0x0ff39568, 0x59c24fbd, 0xbc1462ba, 0x0af44383,
+    0xa6fff99b, 0xc881d3d5, 0x0939b18b, 0x5cd8c1e2, 0xc4972c29, 0x9868c4f8, 0x40c50ffe, 0xe34dc4d6,
+    0xff9e68a5, 0x9b50cf66, 0xd0579fab, 0x00bf5fbf, 0xa5840b8a, 0xa8ffb694, 0xf7a8ebfd, 0x4d73087b,
+    0x4b85d935, 0x51531a4b, 0xc877810c, 0x45f59645, 0xda29913d, 0xbd420c2d, 0x68314925, 0xfe84225c,
+    0xf55f8f06, 0x16bae2a2, 0x839344ac, 0x5975ae37, 0xd9200d4d, 0xbf732013, 0x5cb6ecfd, 0xf49cc731,
+    0x67252108, 0xbdd57587, 0x957f3d6e, 0x3d2385c2, 0x7ab6ea71, 0x52cf0613, 0x7f122084, 0x91b4c412,
+    0x76507164, 0x9248fe23, 0xb9780ff9, 0xc269fcaa, 0x7ad38fe4, 0x46faa0e0, 0xf28d1f23, 0x0d9a575e,
+    0x0335437e, 0xc76c5b1f, 0xc76fcae3, 0x1323d23f, 0x205487d0, 0xb60c1276, 0xb94a3d4f, 0xa054e39a,
+    0xaa7ebf00, 0xbbc69af4, 0xd5a8d2b4, 0x80d5c878, 0xf4318397, 0x891ec27e, 0xf4f08494, 0x6f48bff5,
+    0xbefbdb44, 0x50f7d3bc, 0x08314ae7, 0xeeb894bd, 0xd90f3661, 0x05df9f3d, 0x0b1bd264, 0x35dc32d8,
+    0x4d372c51, 0x64cd3e6c, 0x73fa3810, 0x86570bd2, 0x4f233901, 0x2b486a2c, 0xbd49d6b4, 0x97020a9a,
+    0x21795b8d, 0x0a3764ea, 0x4d17ad9a, 0xa6d90e93, 0x4837a809, 0xab37b12a, 0x6e521c5f, 0xa4e0e426,
+    0x8c6895db, 0x497a8ce6, 0xae86a56d, 0xa08df2f9, 0x6a08a4a0, 0x72798880, 0x2b9cb9b2, 0x699b6355,
+    0x8b832a85, 0x03a950fd, 0xcd292dfd, 0x3903e817, 0x27f03065, 0x8d4a977f, 0x9a802dd7, 0xcc891981,
+    0x47dcf70d, 0x865b8c53, 0x73f96882, 0xa48dac8c, 0x2479ebc9, 0x991ec67b, 0x1378b4a3, 0x905fcd71,
+    0xec51d5e3, 0x864b3978, 0x30716319, 0x96f655ba, 0x9bc36261, 0xd6081f09, 0x2b2ab149, 0x5e7ce15b,
+    0x87465c4a, 0x4e3bfbc7, 0x5310171c, 0xee8cc559, 0xed2725f0, 0x6330d9ca, 0x81dbc1b8, 0x8e6d66c3,
+    0x22a255c1, 0x9744d58a, 0xccce85e4, 0xa879e4a6, 0xe18975b0, 0xc1a05a05, 0x00adc141, 0x0f1c4e73,
+    0x0357c6ae, 0xaa4fa7be, 0xf6597abd, 0xe4ac6afa, 0x14c01a20, 0xcb8de7ef, 0xad3f8c83, 0x90ebe243,
+    0xcaa09994, 0x88a3887a, 0xcec049af, 0x2e3f62bc, 0x503e996c, 0x68203cb7, 0x51284a07, 0x1061de84,
+    0x785af9e4, 0x43ddb52e, 0x6e94077a, 0xe60281eb, 0xa973ed6b, 0x4adb6445, 0xf56c5bac, 0xcdce1cb3,
+    0xf4eb76c8, 0xb4b70a27, 0x49efd98e, 0xa34c2302, 0x575052c1, 0xfc2d5095, 0xc2de8830, 0xc473eb0f,
+    0xb4debbcf, 0x72398614, 0x8a871dd9, 0x794561d6, 0xa84457c1, 0xcdca17aa, 0xc6fc868e, 0x8983054b,
+    0x2d3296c5, 0x965fe831, 0x3c35ef6d, 0x46e0ea16, 0xd46d8f89, 0x732a2816, 0xdc56577f, 0xda79ce5c,
+    0xb20b1716, 0xcb724e08, 0xa25b0f70, 0x036d35ec, 0xa5f56cbc, 0xe7335e4c, 0x96ee57ce, 0x5e0835a2,
+    0x69803dea, 0xe4d5ccdd, 0xda0952ea, 0x7e6d142f, 0x2f9dc326, 0xcea8cbb9, 0xefddd512, 0xd11dc047,
+    0x18ac43af, 0x0ba0cfd3, 0x213e6e8d, 0xc4f4a91c, 0x24281971, 0xe802e534, 0x2f7f5aa6, 0xf44a5a0e,
+    0xf88d37ab, 0x5e53a34a, 0xa705e049, 0xfce1e252, 0x17ced92c, 0x04516614, 0x116d831d, 0xd7e580b1,
+    0x7608fb42, 0x914e5609, 0x0246d971, 0x112b65ee, 0x9d68926b, 0x2f75382f, 0xc33e73ce, 0xfae945e5,
+    0x8d5174c0, 0x3c29a7b7, 0x39c98aee, 0xf9dcd33e, 0xf0612f63, 0x9a3b0149, 0x10d16dbe, 0xcb0408c9,
+    0x8d682ca1, 0x5347b411, 0xf5555fb5, 0x125f08c0, 0x4ea9cd25, 0x9986b7e3, 0xe2ea6ab2, 0x8361f5ea,
+    0x96cea3a2, 0xab88f4c3, 0xf0ba8c29, 0x57c4407e, 0x13bbae59, 0x3d219591, 0x072cd50c, 0xeaf57d5b,
+    0x79f3fe36, 0x2a10bede, 0x4a242e0e, 0x06881db2, 0x04e0a9d4, 0x24761408, 0xe58abe6e, 0x9de6c82f,
+    0xb526fbf6, 0x6b15cc2b, 0x2650bbb2, 0x6d706aa7, 0xbc090469, 0x85cf8620, 0xb0dd0765, 0x9e794527,
+    0x53f2bd6c, 0x223ace7b, 0x0f846a07, 0x0ca01370, 0x283b7d18, 0x4bd29db8, 0x80e79885, 0x14c01760,
+    0xa4981592, 0xfbec2352, 0x6848146e, 0xdfbec6c6, 0x700a670f, 0x63ff1d26, 0x2c62a79f, 0xea54acd8,
+    0xd0dd76ee, 0x27829939, 0x6c32b270, 0x9b37d686, 0xf78fd749, 0x921ac172, 0xfc2601ff, 0xd041f41e,
+    0xb5422386, 0x339e65e8, 0xdcb13d35, 0x6d4caa86, 0xa943816b, 0x13987727, 0xadd0fd81, 0x2e6a19b2,
+    0xc1809b0f, 0xe9a03004, 0x9e6ea388, 0x09f29939, 0x56d455a1, 0x1a65d4f6, 0xc4550e94, 0xe395b03a,
+    0x9548e611, 0x71ebed00, 0x89322ca9, 0x95bc9e10, 0xe0d4b8c6, 0xa92d5e45, 0x4decd778, 0xe72b409b,
+    0x1cb39354, 0xa66b70b9, 0x75ca914f, 0x533f700d, 0x1f251d38, 0x21382248, 0x4715f2ae, 0x2bf071a1,
+    0xa29b2170, 0x8d626902, 0x5cf274c1, 0xe410145e, 0xb2def5cb, 0x7f91e940, 0x8234f36e, 0xde1025d1,
+    0xdf9ea5b1, 0x3551212a, 0x7a0b5576, 0x86087573, 0x6b799549, 0x756f0190, 0x509d2115, 0xd0335a08,
+    0x0ffb7aea, 0xc1b587ff, 0xd02befa3, 0x11e63762, 0xac5d0e67, 0xf933f0ef, 0xc1e3c27a, 0x26a5e71f,
+    0x6755e340, 0xeabc0065, 0x95473b21, 0xc90c586c, 0xd3690870, 0x90a03721, 0xdc606c39, 0x51e65a49,
+    0x3e693689, 0xd9e50cf4, 0x7c125624, 0x09c16162, 0x4e1f0eb3, 0x6da5d3f8, 0x7570eba6, 0xe3ba1421,
+    0xb4143a77, 0xe4de6bf6, 0x695a8911, 0x0e7fcd2e, 0x7456bb38, 0xe069a9a2, 0x0eb8db7c, 0x1bb71c87,
+    0xdbfa7eb7, 0x4622c993, 0x2a4b5941, 0x640ac534, 0xd398ed25, 0xf58e3042, 0x87442ba7, 0xd058663b,
+    0xa30a9232, 0x35fb3d3e, 0x6ec9ddcb, 0xb5440844, 0x90fa6b4c, 0x8f6a0258, 0x3ff0d4dc, 0x9a0be728,
+    0x6fb353f5, 0x244064b0, 0xa16fba4a, 0xe523b597, 0xdf8665d9, 0xe9ff5be6, 0x6b9205b1, 0xf589d511,
+    0x6f77ed0c, 0xbb2dd5eb, 0x1490a29d, 0x564ddb18, 0x3dcd7c2f, 0x6e54bccd, 0x2a020cf5, 0xa97f85cf,
+    0x1f3df615, 0xb266389d, 0x5278da93, 0x95aa512f, 0x0cf696fe, 0x3e1a6bcc, 0xb902a2b7, 0xe489dba6,
+    0xf26066d5, 0x34f063a7, 0xff1a3892, 0x14867fea, 0x790404e2, 0x9201cf1a, 0x37550568, 0xd20aadc5,
+    0x3f49f1ce, 0xb4fa7be0, 0x27a8bde4, 0x0f1c30ff, 0x2d8cc437, 0x7b2dc6e9, 0xf526520d, 0x608ccc9f,
+    0x2dcc9504, 0xe0890875, 0xf6822bea, 0xbc911cd9, 0x69f2b4ae, 0x6f863104, 0x25ed60de, 0x7d439ba4,
+    0x9299963b, 0xce15d154, 0x22496d54, 0xfe104ac2, 0x8f835858, 0xd4944fdb, 0x5bf33def, 0xcf875694,
+    0xecad4ea7, 0x0de91574, 0xba8a3418, 0xa112b1bf, 0xb8866fe6, 0x3a935b40, 0x89dc3bfc, 0xf1ecf4b6,
+    0x62b320eb, 0xa9619cbe, 0xc36d7557, 0x6a4a65d2, 0x3d142f27, 0x920be131, 0x4566e226, 0x825c9b08,
+    0x899f3e55, 0x250b29a3, 0x50348a4e, 0x25d60251, 0x64fe6458, 0x43b6a980, 0x6fd9d17a, 0x5964ef47,
+    0xb23733ab, 0x43a872af, 0x1c43a0d7, 0xa3ae26b5, 0x3a6e7743, 0x9a478c3d, 0x97005e90, 0x5a2c16c3,
+    0x727368aa, 0x42b533aa, 0xd3eba988, 0x567366a3, 0xeee37aaf, 0xf4983e98, 0x67f4882d, 0x8a2a957a,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000008192 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffcad8,
+    0x00000000,
+    0xa6dd04c8, 0xd2ce9fde, 0x2de38123, 0xa1c3cffc, 0x20305d02, 0x44e091ba, 0x5e2d7403, 0x972f6f2b,
+    0x04e663ac, 0x16d51215, 0x98342657, 0x91e1cf28, 0xb1e18621, 0xd364461a, 0xf22c3f47, 0x05668d3e,
+    0x9a57c17f, 0xb08da860, 0xbc5f7fd8, 0x7ac90add, 0x2ced8c02, 0x7d6d7749, 0x16058908, 0x79e0f480,
+    0xee77fa96, 0xaf1af03a, 0x3598ec02, 0x61aca145, 0x48118c04, 0xbdb45b9e, 0x46f24971, 0x796c39de,
+    0x47925c7e, 0xcf5efe79, 0x930048ea, 0x1840f559, 0xf8ed6e8c, 0x984becba, 0xe19f130d, 0xb44efcf9,
+    0x2da1ae29, 0xd8d7ae4d, 0xb24a172e, 0x1c99a79f, 0x0e6778b9, 0x2cc685f4, 0x8b992f76, 0x5c652cc2,
+    0xe1fc4cb7, 0xe5d9a9f7, 0xc610c9d7, 0xd7b04793, 0x4db4675c, 0x97e6a463, 0x07e454ff, 0x78ecee3a,
+    0xf21cfde9, 0x425d2f2e, 0x3dee64b0, 0x9a8bb441, 0x57b7dbfc, 0xa41ddc0a, 0xb18576d0, 0x7e1a0bdc,
+    0x9f9d8fcb, 0x3a33e8b9, 0x961a8967, 0x99047538, 0x2aa79378, 0x941b70ca, 0xdd3b8034, 0x0e7b77f8,
+    0x92d7b5e5, 0xae73689f, 0x8e3d83f8, 0x173de0a6, 0x33780c16, 0x44d33b0f, 0xd89cb885, 0xc7bfa4ae,
+    0xf225f112, 0xedbff643, 0x7a33fd97, 0x97da0851, 0x3730057f, 0x2e78340f, 0xadd154e7, 0x613efad8,
+    0x636ae115, 0x2b2f8b33, 0xafddd231, 0xb0d59349, 0x633103e4, 0x7cd92bc3, 0x3d33049e, 0xdbcf832a,
+    0x2edf2dce, 0xfad0f8c4, 0xb17f3398, 0xb558b252, 0xf39af28c, 0xf1065d64, 0xea04b83c, 0xb6f42253,
+    0x78cc60bc, 0x413a63ac, 0xe6b783aa, 0x8b40166d, 0x279f7274, 0x8249e496, 0x3624e283, 0xdfa4633b,
+    0xf8378292, 0x5d3c93ae, 0xe5e905c3, 0x543518be, 0x43c5e5c1, 0x142e39b9, 0x6c01c29f, 0x4c7fba79,
+    0x2c27dfdc, 0xa5281daf, 0xbfad9f38, 0x8e632ed1, 0x476839d9, 0x90797370, 0x7959e14a, 0x38a1c4e6,
+    0xeba92259, 0xb007902e, 0xd6c3bbb8, 0x88715dd0, 0x476466fa, 0x3bc28482, 0x4b9b0a6b, 0x61247b5f,
+    0xbaea524d, 0x74ed9485, 0x64571f87, 0xd2476d88, 0x81081097, 0xf13e37ab, 0xbda06c06, 0x4c852032,
+    0x300a8bf3, 0xf22580b8, 0x84168160, 0x1abf0098, 0x454adcba, 0x3a9e1ae7, 0x39263421, 0x0658fbf3,
+    0x2cf24372, 0xdd98543b, 0x5fdc52d2, 0xa6c819ca, 0x67dd8f60, 0x1668c4a8, 0x0729ed76, 0xac6ad4ac,
+    0x6c9efc22, 0x2ddbe164, 0xe506346e, 0x7d25d028, 0x52ceec88, 0x4111a1aa, 0xdee6d2ea, 0x9ece4ac6,
+    0x5cf1e098, 0x77efd5ae, 0xfcc0d72e, 0x6ff78d21, 0x46f5adf9, 0xfcca47f6, 0xc63c9b22, 0xecea5ff4,
+    0x9da9e214, 0x865a25a8, 0x140e57e4, 0x0a793f76, 0x7fab1b35, 0x856b5b94, 0x4befd794, 0x1472faf9,
+    0xf8569aa6, 0x624a905f, 0xfe38a9e3, 0xcee50b44, 0xde0a8e72, 0xf1203f14, 0x4011c0e6, 0xcbf91f75,
+    0x2fa0354d, 0x065b02c4, 0x6e16238e, 0x3e0cf32f, 0xf6656d16, 0x81990750, 0x14c06eaf, 0x58483bda,
+    0x69651f3d, 0x1a6e1794, 0x7117463a, 0xa427e215, 0x697dbf4c, 0x47184139, 0xd7f4e17e, 0x9282df09,
+    0x27df65a6, 0xa24291d3, 0x7a71f9bc, 0x9f676722, 0x28fe7255, 0x3f332189, 0xab1e5df9, 0xb12e8fe5,
+    0xcd961809, 0xa85ed49e, 0xbb3ba83c, 0x20803a28, 0xd3000fff, 0x554c56e2, 0x3dbe175e, 0xddc338cd,
+    0xb21c0eb8, 0x2fe9f6fa, 0xe30b6578, 0x908c5d15, 0x39bc261b, 0x5673af53, 0x99fd9d88, 0xb07e90ad,
+    0x407b89f6, 0xf015f414, 0x3d19f9c5, 0x39f66bbe, 0x88609e8d, 0xbd2f5647, 0xd0018b91, 0x70233f96,
+    0xd45f4533, 0x3ad9f4e0, 0x675b787b, 0x56e3334e, 0x8efbe72a, 0xd9a368bc, 0x75bfcfcd, 0x75bb0bc1,
+    0x9f52bd7c, 0x588803ea, 0x67e5bb84, 0xf81134c9, 0xc166f24f, 0x0e798809, 0x90fac5cd, 0xa0ca6aa2,
+    0x5ad1df7a, 0x91e11b7d, 0x647552cc, 0x89782b9d, 0x1e5c2713, 0xd1c4cf5f, 0x39d80954, 0x3e491cc2,
+    0x1350215f, 0xf966b91a, 0x7da0ecce, 0xe6ee0488, 0x89775b59, 0xf2111be5, 0x85f63810, 0x4b0c29bc,
+    0xfc7edccd, 0x354748f8, 0x1301dee9, 0x0ad0c3de, 0x62883386, 0x8c31b65e, 0x3dfe1394, 0xa71f5cd5,
+    0x1c5c7328, 0x26b1e706, 0x7b12987f, 0xdde2c7cb, 0xac36b373, 0x4d597ca1, 0x590022fc, 0x5bc0f1a5,
+    0x9a123153, 0xa4ea353a, 0xf0c20ddb, 0xb13cce79, 0xfd71a0cd, 0xb005933c, 0x596f5efb, 0x40887b91,
+    0x7df2f4c7, 0x031e2ced, 0x121d1d02, 0xa2e83377, 0xce1f9a83, 0xad353d12, 0xb3369417, 0xc34202bc,
+    0xf8369c2a, 0xeb6702fc, 0x5582fd5f, 0x078a9a82, 0x40022b59, 0xcdc5ed4e, 0x8a1efefd, 0xa0f3ba20,
+    0x7bf2639e, 0x6981175d, 0x1b3623ef, 0x4bb0dc57, 0xf07b3e8d, 0x61b99e74, 0xbd91eab5, 0xfb759a48,
+    0x31456f0c, 0x7de138f7, 0xe807bd65, 0x3ea460b5, 0x695f9019, 0xe83e00bb, 0xe083d349, 0xe2d83c84,
+    0x0bd127d7, 0xd64d241e, 0x52f12cb7, 0xeebe86ea, 0xdf40bfe1, 0x59e6bdf8, 0x508fc1ba, 0xf17b32c1,
+    0xa9b7358c, 0xfc613876, 0x1c96113d, 0x0b25c7a1, 0xc22e490e, 0x02e2c201, 0x89a17c07, 0x5c55fefa,
+    0xdd08b22b, 0xdf1d9bb4, 0x3a142a98, 0x2512d09c, 0xfdd9e8f8, 0xbcf7affe, 0x6db02c01, 0xab6cc52b,
+    0xb00d6e33, 0x099cc903, 0xd8221e42, 0x2a57350a, 0xbab37e14, 0xe1bea4e7, 0x75ee3297, 0x68bb930b,
+    0xc975bb59, 0xb0d76539, 0x73499e45, 0xde036601, 0x69b76cb4, 0xeb55ac1b, 0xf6b6a479, 0x54d489a1,
+    0x36561aed, 0x98d782b8, 0x97b7f2d1, 0xdda9b7dc, 0x01808e0f, 0xd696c29c, 0x6e8bc6bc, 0x28a5155d,
+    0xf9c1e19b, 0xf6d8a7b1, 0xeb86beb7, 0xb15f4058, 0xee40436a, 0x68e89d70, 0x7b84e342, 0xfaa1df33,
+    0x82fcbee9, 0x0e260251, 0x638d5f73, 0x7b833c98, 0x6a1e5766, 0xeda14608, 0x4fd9c8de, 0x6f45c4bf,
+    0x5b7643bc, 0x3f3734d4, 0xe27e0892, 0xf72093db, 0x45ebd589, 0x16939394, 0xd2d17cd0, 0x6023e3df,
+    0x949b8bfc, 0x1ac3ecf8, 0x70836557, 0x09bab436, 0xc91eaf10, 0x4462b70e, 0xed1682a6, 0x2659f39b,
+    0xef419fe4, 0x72a03c68, 0xdf0eaac2, 0xa3d858f7, 0xc1624137, 0x37dcf2c9, 0x3db9cf14, 0x7fc6446a,
+    0xf90c7bd0, 0x2cb1ab7b, 0x65cf5140, 0x080df9f0, 0x2870dc63, 0xfc32270f, 0x2ae8aea9, 0xf37a75a9,
+    0xcec63496, 0x201f4de0, 0x4f2144c2, 0x920a57a0, 0x257764cf, 0x56ff2ac2, 0x9b27e666, 0x140e3536,
+    0x71ca1095, 0x42d38651, 0xa9a0f596, 0x0c136f75, 0x4ad696e7, 0x662cd0c4, 0xee847dbd, 0x04012a86,
+    0xd9477509, 0xef103c8b, 0xed795a31, 0x9303c68b, 0x371b95b8, 0x4ed3280c, 0xdc7c81ab, 0x048abe51,
+    0x00048fc2, 0x24b2b960, 0x50b2517f, 0x354a6a35, 0x5da60871, 0xcc9fd461, 0x42b954b8, 0x6a5cb90b,
+    0x1c28fc8b, 0x5a1b8d45, 0x68e7cf2b, 0xa55f88ed, 0x4af7cba7, 0x95b54577, 0xe606dfeb, 0x3baa32a4,
+    0x2fef6824, 0x2855b5fc, 0xbbab4673, 0x020b874d, 0xab239e75, 0xa551ca63, 0x553f5a65, 0x7f15cd0f,
+    0x662ad227, 0x56ffba71, 0x96365dc7, 0x30582248, 0x9c5d7042, 0x5b87aa3e, 0x8bac17ff, 0xe09e7c1a,
+    0x888454b7, 0x8279a93d, 0x7de4349f, 0xd7788262, 0x3d946027, 0x8c55f411, 0xab9c82b0, 0xe8344499,
+    0xed581e74, 0x2a4ac240, 0xab281952, 0x37803f02, 0xdecfe036, 0xe19f0fbe, 0x9d576309, 0x8847fbcd,
+    0x8a0eeba7, 0x6e731e64, 0x2416199a, 0x88b7e196, 0x99c6cffd, 0xff8dbe1e, 0x8162dda6, 0x9781f2ed,
+    0x40a5dae2, 0x24b3ccb9, 0x491a2ab3, 0x2bc473e2, 0xd9d312f8, 0x26dc4fbc, 0x3f1fc6c7, 0x74b965ca,
+    0x256fed77, 0xe2effa4b, 0xc8a561e1, 0x04cb9db4, 0x2c387f8a, 0xe4119afb, 0x06a621f2, 0xe024e029,
+    0xdab72b56, 0x267f46cd, 0x3ce2d3d7, 0xd9f0bac2, 0x65d329c8, 0xef360275, 0x2e06a0f8, 0xdd4f0ea5,
+    0xf660fbd0, 0x4a1a027b, 0xb906d49a, 0xe4a97f80, 0xd21aad9e, 0x408d469d, 0x0cd22d0a, 0xa1ac0b77,
+    0x3ba5d789, 0xc6206e85, 0x61cafc88, 0x8da90f20, 0xc0a39534, 0x1680a3dd, 0x7ee277ea, 0x8660833a,
+    0x94128eea, 0x743e6e70, 0xb5f61501, 0xee50eb13, 0x15339ae3, 0x9d429318, 0xb863f81c, 0x52cfa2f2,
+    0xcb6595b4, 0x00448fe4, 0xa5cb9f37, 0xb72a491a, 0x997f418a, 0xaeab6880, 0xc3a6745a, 0x785207ea,
+    0x90170b83, 0x411d9737, 0xe0d5cfea, 0x72c9c163, 0x2f4909e1, 0xc9a2d600, 0xbde41330, 0x5ed1c3d6,
+    0x7e7cb787, 0x3509e7a8, 0xc20bceb7, 0x1f94a375, 0x8dfba7d7, 0x53ece7a7, 0xb98a6fe2, 0xaaec5d25,
+    0x360303f1, 0x769309fa, 0x55f887ef, 0x106b19fd, 0x5c40e82a, 0xe29d9e33, 0xb1aaf716, 0x32ca9538,
+    0xf081dd3d, 0x2a64d614, 0xf7af118a, 0x41b5cf94, 0x69cac421, 0x08d6f6ba, 0xb7ec5ef3, 0xda566d46,
+    0xb3b0f146, 0xddbf6d33, 0x337331e7, 0x2ef96f4b, 0xba6364b8, 0xf1873b01, 0x6110bf52, 0x5e8e4312,
+    0x4eaa89d6, 0x676786ed, 0xd28bca67, 0xbcc6b1d4, 0x872c0188, 0x5d05dccf, 0x391a31ef, 0x4e8f5f91,
+    0xf13bf125, 0x6c5b9bc8, 0x7f247265, 0xbc510baa, 0xd5d51045, 0x88750281, 0x01e9976c, 0x96a9ed06,
+    0xf51bec6a, 0xb5b8da15, 0x8d7d13a3, 0x4e03f90e, 0xc81b5fbe, 0xdecbb2a6, 0xdf31c146, 0x59177761,
+    0x3988e918, 0x257de7fa, 0x12d093c8, 0xce9f5798, 0xef8034c7, 0x312959b7, 0x88d4c71e, 0x0d093e5a,
+    0x544d161e, 0xc80548d9, 0xf57dd906, 0x146d8026, 0x9a14e148, 0x27901ce5, 0x07e2e456, 0x9a81c155,
+    0x8db28e1f, 0xb9a33240, 0xe265f2f5, 0x813b333d, 0x3b814062, 0x7083a4c4, 0x794448fa, 0x21c91bf6,
+    0x0c12b542, 0x308798fe, 0x0ef9f928, 0x232d1c2f, 0xd5cd4deb, 0x9fb26adb, 0xa3ba6d6f, 0xfd2a149e,
+    0xe4db4765, 0xe791bf20, 0x2a6b7a8e, 0x5078e454, 0x13019489, 0x6c297a74, 0xbbd15a16, 0x682a990a,
+    0xc176fac6, 0x3846284a, 0xfebf36b9, 0xfa11daba, 0xc39fb784, 0x1d51fec8, 0x9bf0663a, 0xce5f36c0,
+    0xb87d380e, 0x7188d928, 0x8526b8e5, 0x11741e2f, 0x2e0d100e, 0x919f04f2, 0xdb20a77f, 0x4250a7a0,
+    0x7fdbca19, 0xb7a94124, 0xf563fe56, 0xe0e1d8ef, 0x1b6ba7e2, 0x31e786b5, 0x6ae9854c, 0xb2dbc389,
+    0x1bb65ba7, 0x7aaeaeeb, 0x80d9140e, 0x2a04644e, 0x033568c6, 0x44708397, 0x27b6bb64, 0x3d6e5ab7,
+    0xba4898e7, 0xd53fd310, 0x50825037, 0xd361acfb, 0x04bf8a98, 0x866b4371, 0xacfa0cf0, 0xa16027b5,
+    0x0642069e, 0x1dc9783a, 0x5d315e25, 0x1267f99e, 0x9f7740d0, 0x9e31c61f, 0xb0001a7b, 0x74637e3c,
+    0xf9ac84f0, 0x734eb310, 0x54e8a07e, 0x3a961e3d, 0x869c6e98, 0x253bd2ba, 0xe1605996, 0xcbcd66eb,
+    0xc788d590, 0x72900d38, 0x06a70539, 0xd10f1694, 0x153effdb, 0x4b818d5f, 0xd3ab5d6b, 0xe0c54048,
+    0xcb2d3a0f, 0x4cf0dc82, 0x53912786, 0xf09cd1a2, 0x69e78fce, 0xd244fa60, 0x0aebbf7b, 0x39459eec,
+    0x1a30b355, 0x841a0e73, 0x4a3ea180, 0x50691e30, 0x50f1ecae, 0x40397215, 0x7e729480, 0x555118a0,
+    0x0f5cf256, 0xbac2fdce, 0x50f6dff4, 0x0a888e1e, 0x16fd5b9c, 0xb899b855, 0x278dc857, 0xc9b13acc,
+    0x4b64e567, 0xef2abd9b, 0xe824bd67, 0xb29ddee0, 0xc34325b2, 0xdd6434e9, 0x70d017c8, 0xb94aed83,
+    0xb892e741, 0x53dfdbe0, 0x078c42ca, 0x80158ec5, 0xa6e8fa50, 0xbf598882, 0x854c05ad, 0xe98d9528,
+    0x82360572, 0x2219567e, 0xade4e508, 0x716b597a, 0xaa789128, 0x346ce1ce, 0x88730cee, 0x67b0a199,
+    0xd9dab2b3, 0x49e74075, 0xdf6081a0, 0x814da19c, 0x0691d112, 0x3398b9e4, 0xafa78d44, 0x0f079a6c,
+    0x9202f914, 0x46bf3222, 0x449876ab, 0xf91c4928, 0x01e88730, 0x049685b2, 0xf8cded10, 0xf070e7fa,
+    0xf906e3e9, 0xd37700d7, 0x8aeb3f3e, 0x7dad69d0, 0x181da537, 0xb4d3d222, 0x06ef6806, 0x92156837,
+    0x1c950d6c, 0x798fc907, 0x5f669c83, 0xddb68b63, 0xe9a97e79, 0xe638caac, 0xdaa1d64a, 0xc5048006,
+    0x71101397, 0xc1f2d7fb, 0x18a4a424, 0xbf667677, 0x8a85df3e, 0x53875c95, 0x58256c0b, 0xd0e59374,
+    0x042e3066, 0x4a5a181b, 0xa5401b2a, 0xee727f30, 0x31fa8a2d, 0x4429f63a, 0x01edf3fe, 0x96848668,
+    0x938f39e0, 0x70f15c11, 0x1420e9de, 0x4698b9ca, 0x809ccedc, 0xcb179fc9, 0xb672113f, 0x9519b8bc,
+    0x6ae5dc52, 0xa14acba5, 0x5ecf8cf8, 0x5608bac3, 0xe44aaf62, 0x470c9f2f, 0x3c0573f9, 0x96130a3f,
+    0xc6834bc0, 0x8230f9bc, 0x7dbcee5a, 0x1f5df14c, 0xa4e48234, 0xa7dd5b35, 0x9db40400, 0x1f616522,
+    0x9eb0dad0, 0x0b96dc61, 0x0c2cd256, 0x97bee6f5, 0xfe789ba2, 0x8b7158f6, 0x1bbb7368, 0xc2abd819,
+    0xd212c8ff, 0xa4115294, 0x2993d9a7, 0x8a7a27dd, 0x7776e13b, 0x86d2218a, 0x4583cb95, 0x982d1604,
+    0x4b8db457, 0x38d5fedc, 0x7b125893, 0xdd0e35f9, 0x95198e70, 0x47df73f1, 0x59c8f005, 0xc71ec940,
+    0x14ac1cad, 0x4afe7982, 0xa27fd901, 0x5f58ceab, 0x9012fb12, 0xef3fd898, 0x06235822, 0x03368747,
+    0x2ea66474, 0x265981c2, 0x9891e7c6, 0xec2f1033, 0xf977107d, 0x4d79c797, 0x5bb1ab5d, 0x336765de,
+    0x54675e4d, 0x11bb5e84, 0x29fcc1e8, 0xd016a945, 0x27382f8c, 0xa7190d69, 0x8e5354f7, 0x2d5136cf,
+    0x8cb7a5c8, 0xbd813951, 0x5548016f, 0xcfcaf7c8, 0x7867fb88, 0xb0a6d244, 0x35ba5a13, 0x4bd91261,
+    0xfc6b18c9, 0x12dedba9, 0xac5137f3, 0xf8752f71, 0x705d5cdb, 0xdb01e835, 0x7388574a, 0xbc3e26f8,
+    0x37c7d7fa, 0xaa362918, 0xa31d91cd, 0x9a23df7c, 0x2f5df172, 0x864c7758, 0x4b8b6702, 0xba4ef234,
+    0xf8eb9b04, 0xe27c0ff1, 0x0b6ba07e, 0x12f40031, 0x4085b690, 0x3c4105f1, 0xe4e49730, 0x4f4d7b09,
+    0x92260b50, 0xd99ed21e, 0x1e43ad36, 0x365c12a4, 0x0971169f, 0x08bad2d2, 0x658733fe, 0xbfc7c360,
+    0x6710d465, 0xad13639e, 0x8507ef63, 0x2526d9ae, 0xd67f622b, 0x29ec28c3, 0x04a69916, 0xdef14e24,
+    0xfa468069, 0x7973d738, 0x404b920d, 0x9f463013, 0x592e2c94, 0x5151bd41, 0x10ec4aec, 0xe953d404,
+    0x74f20a45, 0xbd78e57f, 0x75cc0d1e, 0x22173bca, 0x529c770f, 0x37496701, 0xe579f1f4, 0xc08477d9,
+    0x8cb5a292, 0x015f259e, 0x3fc3555c, 0xefb416cf, 0xfd1b98c8, 0xd7e58120, 0x5c9f5ba6, 0x8f5e4bdd,
+    0xda929d91, 0x9be6f417, 0x5ea81ae9, 0x5baf52a8, 0xf59e5e85, 0x0977297c, 0x668fbab4, 0xf855c685,
+    0xf2c05899, 0x1d8bdb0a, 0xad1696e8, 0xef15e4d1, 0x7993f613, 0x9f17f5f7, 0x17147f48, 0xea766e3e,
+    0xe9f50b7b, 0xd5a9b0aa, 0x9dd5fc53, 0x372311fa, 0x82d856e8, 0xaf22fac7, 0x237d5620, 0xa0b121b5,
+    0x580345cb, 0x7b94e7ef, 0xe30004ed, 0xb07428eb, 0xabc84dd4, 0xf96028b9, 0x8e95a900, 0x903edf49,
+    0xc287b3d0, 0x9e88ec9f, 0xc50705fd, 0x022cd883, 0x71e9f470, 0x1e7115e4, 0x91f9381e, 0xb8ae24d7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000004096 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffe56b,
+    0x00000000,
+    0xceae534f, 0x34362de4, 0x492512d4, 0xf2ead2cb, 0x8263ca5c, 0xbc774bd9, 0x71aad590, 0x46c74249,
+    0xddddc0df, 0xbb0d6f2c, 0x0583c8fe, 0x05b57dc3, 0x2cba0316, 0xecf72da5, 0x9c8c0d90, 0x77ecce4d,
+    0xf05788d4, 0xfd98d935, 0x3b2d324c, 0x69a75d44, 0xa00847a8, 0x57e4aca5, 0x8ee6a01d, 0x1b5f928a,
+    0x50f16414, 0x794e6932, 0xf91e7d98, 0xaf70d2c8, 0x80adc832, 0x405ce8cd, 0x5684e591, 0x53349a3a,
+    0x0b4c5bdc, 0x358f0309, 0xec9272fb, 0x9c549dac, 0x1443eb1a, 0xf808fa3f, 0xa592645e, 0x952c08fe,
+    0xac77c0d2, 0x64f01b52, 0xaf104e69, 0x0481312a, 0x246536da, 0x63e865e7, 0x4e1bc578, 0x41a7fde1,
+    0x63ffd851, 0x36c9f8b3, 0xfce41cae, 0xa92ac9d2, 0x30522b56, 0x87b560e9, 0x6f663746, 0x38172523,
+    0x1f217a3c, 0xacb74c7c, 0xb22f6168, 0xab5c8e63, 0xeab18e06, 0x5f62f66d, 0xf432070c, 0x3fbcabe1,
+    0xdfe8a3f8, 0xbd4e4af2, 0x902c5316, 0x7ad93754, 0x951e0643, 0x2a21f4e6, 0x49b017f0, 0xf92f59e7,
+    0x7a785c67, 0x43cb9f0c, 0xd6f9b79c, 0x782fda5d, 0x8a27569e, 0xa4137e73, 0x2c33fa13, 0x058ce613,
+    0xbf417e46, 0x0150935b, 0x39cdcdfd, 0x47b0b72f, 0x088becf3, 0x76b2b2b7, 0x3a31a6c9, 0xf69b7659,
+    0xfbe16a8e, 0x97273d71, 0x23052a85, 0x59b7d2e5, 0x4ddb7606, 0xcbe2f046, 0x3aaa3a56, 0xb6a0bf1f,
+    0x7fe1064e, 0xef34e18d, 0xf35d05b8, 0x438e40f6, 0x129c0d70, 0x10470d6b, 0x1b24ca05, 0x2b7a26d3,
+    0xf45d8ea8, 0xadc57144, 0x084ed1f9, 0x8a6d51f0, 0x1ec8a0d9, 0xe9e4100a, 0xe8d5e61b, 0x0d0a3ef6,
+    0x7eec95fa, 0x5e1de8be, 0x8428a35b, 0x09434d9a, 0x00726298, 0x7c9e3783, 0xafaa04b2, 0x26624a22,
+    0x38c1ee62, 0x5e566b1b, 0xa5379eed, 0x0007df6a, 0x7d07a7aa, 0xe6e5e1b4, 0xb3b51d61, 0x02bccfcb,
+    0x3a0a423e, 0x518343d3, 0x8034d506, 0x2d7beaee, 0xe7cfe5d7, 0x32bfb740, 0x5ef909e0, 0xdc4a781a,
+    0x34f5290e, 0xd78ac712, 0xde896f3c, 0x83b330f9, 0x531f6913, 0x794bf22b, 0xcd60c47a, 0x0e740211,
+    0x536e28ba, 0xd4148343, 0xcd3ef182, 0x3ffbc4d6, 0x7e3f208d, 0x2ee339b0, 0x676fa053, 0x23232bbb,
+    0xe6408307, 0xbc834bb4, 0xd88d25f8, 0x44fbfce9, 0xac218c69, 0x63ad0d83, 0xa1775105, 0xfd684796,
+    0xac9abf80, 0xdd39e95e, 0xb54ccb9f, 0xdb405915, 0xd54cbb9f, 0xdd4abfa2, 0xd9a6b9e4, 0x6897e85c,
+    0x99562a52, 0xf32605e8, 0x2c91585d, 0x6e8cf9be, 0xbb09817b, 0x76adf291, 0x5755e186, 0x914075d6,
+    0xae4a7b14, 0x1db19275, 0xd8785f7c, 0x0f612b48, 0x42cde34b, 0xa7cb58e8, 0x94c17295, 0x5057cecf,
+    0x2eb713c7, 0xe3f6d13b, 0x624655b7, 0x673473a6, 0xa475294a, 0x2a3b3c88, 0x16b0761d, 0x3619256d,
+    0xf6ab7a97, 0xe68e036a, 0x16d81e97, 0x7ddc9c78, 0xb4f25683, 0x87b4206e, 0x77cd6ca2, 0xe77482ee,
+    0x91c9a7f8, 0x33f351cf, 0xa3c3ae40, 0xd5f2e70a, 0x005b3e22, 0xab60af98, 0xdc1695f6, 0x42c934e7,
+    0x1c4f4742, 0x379fe66f, 0x5917848d, 0xf62c8d7f, 0x84d51795, 0xc1a6d35f, 0xbb67c797, 0x3cb57a01,
+    0x1ce54de9, 0x3c981606, 0x43152492, 0x2283dd08, 0xa26886f9, 0xef2ab447, 0xa37f4d90, 0x0e7535fe,
+    0x1d520ff7, 0x80a77517, 0x5df2c531, 0xb7aca827, 0xf166a532, 0x13ae4519, 0xf6ae984d, 0x94915b8f,
+    0xa0d617bc, 0x29ff0d2a, 0x65f1eeb3, 0x252f85b2, 0xcf1e2404, 0xbc6b7a3e, 0x25d774a7, 0x2641d044,
+    0xd4787cea, 0xc2041d07, 0xc694b480, 0x9b1fc6b8, 0xbf44a5f5, 0x2189f2f2, 0xbcf551ea, 0x1d6f9f76,
+    0x1f9a6cb2, 0xe13c29dd, 0x50e600eb, 0x95c7ef21, 0x156b8b14, 0x488540c3, 0xd4b8202e, 0x10cb003b,
+    0xfb48c1cc, 0x64348d78, 0x4ce84465, 0xf2f10edb, 0x6cbcd840, 0xf42d5c22, 0x2584ba42, 0xe9295899,
+    0xc6e6a0a2, 0x89458aac, 0xf37d4e08, 0x9a09c4ff, 0xbfe5d398, 0xc6db81fd, 0x4113ef84, 0x6cb1f5bf,
+    0x16f7117a, 0x291ebba2, 0x080b67a1, 0x1fc49a1e, 0x258e0edb, 0x2c06d4de, 0xcf0817d2, 0xf2f906af,
+    0x5df5c113, 0x6f8bbad9, 0xdc2424af, 0x658959fc, 0xb7e69d2f, 0x9407b423, 0x9c1bc504, 0x76595852,
+    0x8089e279, 0x73c6a010, 0x6858c4d8, 0x22bfe3bb, 0xc52820e6, 0x211fe7e1, 0x994e3d3a, 0x953a765f,
+    0x85c99f9b, 0xb2c4cdb8, 0x818ec592, 0xe8f8c6b2, 0x465079dd, 0xd99fa4e3, 0x3f48ed4b, 0x1d37a02b,
+    0xb9bb2f50, 0x2cc9169e, 0x887c842f, 0x214457aa, 0xd26e3a13, 0x546b6063, 0x16f90b9e, 0x8717c446,
+    0x5db712fe, 0xc06a7964, 0xfe86453d, 0xa8086a13, 0x638962d4, 0xd3c94820, 0x9578b7ca, 0xbb810f11,
+    0x2af9fa78, 0x22598c70, 0xda7254bc, 0x2d425434, 0xcaa6bf36, 0x8e2816b1, 0xfb558eaf, 0x7f805ca3,
+    0xbed16e1b, 0x8fad31ae, 0x0db77d9c, 0x1b166f2f, 0xeb56af93, 0xf07d4f3a, 0xafce2eb3, 0xed385d12,
+    0x97e62712, 0xed5fa7b5, 0xc48205fc, 0xac8554c5, 0x1422edeb, 0x23ec4efb, 0x2fba3f44, 0x0d2852df,
+    0xdbc5fa34, 0x8c1e203f, 0x00ebdfa1, 0x17498147, 0x57b924cc, 0x2b06908e, 0xb7b2bb97, 0x58dd9e9e,
+    0xdfd4877e, 0xd4ba8c1b, 0x814d4e49, 0xc681457b, 0x61b3e2bd, 0x1ae79a5c, 0x99656c7b, 0xcd010418,
+    0xcf8833b7, 0x082378ed, 0x80f02889, 0xe76fb20c, 0xe3a5e4bb, 0xb1f331c1, 0x4b3984a4, 0xac9e5c96,
+    0xebead775, 0x2eb82462, 0xb62bbafa, 0x93274b71, 0xd28dde05, 0x00d78bba, 0xd3e9bcaf, 0x0fdc42eb,
+    0xc3991615, 0x5d195ff9, 0xd918224f, 0x0f85b2fe, 0x8db7857a, 0x3dc8cfc3, 0xdb9f83be, 0xbe8131ec,
+    0x8be20de0, 0xe2475f5c, 0x18823286, 0xa2089596, 0xb38688eb, 0xbcab5545, 0x1df23261, 0x4a12a227,
+    0x06b00f7e, 0xecd8f17e, 0xc0317c2f, 0x2f1b082f, 0x0456748b, 0x38f7234b, 0x9aca32e7, 0xdb9684b4,
+    0x5c3ccb70, 0x1d841794, 0x3c03d840, 0x404ee4ed, 0x475c9881, 0x16d165ca, 0x9fe01403, 0x4730710c,
+    0x99fcce8b, 0xdb51a216, 0x61f1d932, 0x954d1e22, 0xde9b9787, 0x798195d1, 0x1de8b029, 0x4985f327,
+    0x4a11c06f, 0xc7e12f21, 0x3f48ed55, 0x078edfb0, 0x22d33e12, 0x640dae24, 0xc6ae0b12, 0x34d6fadf,
+    0x9a2d2921, 0xd1298aa4, 0x4e2bddf0, 0x87ef904e, 0x2a87bc3d, 0x8798d432, 0x47743efa, 0x641d9477,
+    0xcf22a0e1, 0x076ad3fc, 0x74dc95df, 0x24fbe085, 0x344fc8df, 0x9bfea5e0, 0x488b1dcc, 0xc5915b4c,
+    0x9761d06b, 0xfbd971bd, 0x9c75101e, 0xb8a51257, 0xd7f001a2, 0x9113b88b, 0xd4449416, 0xa7beb9a6,
+    0xde4782fb, 0x6c8532e1, 0xa2c5374e, 0x8d959019, 0x7e350bf0, 0x1276cec1, 0xd76acd59, 0x34845d4a,
+    0x332f0ccc, 0xa91f7cfd, 0x671768df, 0x6de52a70, 0x9c9b0231, 0x92694945, 0x41169a69, 0x06d5e469,
+    0xc5d521c0, 0x6a607c37, 0xb0d2bd61, 0x9b2128b0, 0x8ed3013e, 0xe661e343, 0x3d22c941, 0x640ed639,
+    0x9b21471c, 0x32c16144, 0x9935b759, 0xc1cf3934, 0x78f35c25, 0x7b4db00b, 0xc41eab94, 0x741f1fe8,
+    0x37b26eeb, 0xb997f89c, 0x7e133d39, 0x1d665927, 0x38c74048, 0xb598d92a, 0xcb37c026, 0xd3378cb0,
+    0x3f36d735, 0x3cb7c4a3, 0x5ede36c8, 0xb43cfb9d, 0xa1e4190b, 0xbf8f8240, 0x10218575, 0x7e97a8a8,
+    0xd4ee1af0, 0xa8f966fd, 0xffd28e48, 0xe8e4d344, 0x95a2e586, 0xdcad5a42, 0x40ebe0d4, 0x5eeb0a12,
+    0x31cad7da, 0xbfd7fbc4, 0xe635d052, 0x33638b43, 0x4c7ca3f8, 0xfbeb1e0e, 0x689f0d57, 0xaf1c6af4,
+    0xd90d5151, 0x3c90c52c, 0xda53c133, 0x14957879, 0x0bfd5bf5, 0x58a4ec0a, 0x6f5cc7a4, 0x0d09d277,
+    0xf16f1622, 0x35d783bb, 0x64707067, 0xc5645173, 0x75ec0cb0, 0x444fe477, 0x4284ef43, 0x9ad61778,
+    0x1d9be57b, 0x1c8ea4b5, 0xcb039f3b, 0x9e0a0b09, 0x5e36aa0d, 0xb96f3f41, 0x30431b0c, 0xfcbcea09,
+    0xb407b575, 0x46b6d3c4, 0x0b6ddd69, 0x8175770c, 0x63b3afb2, 0xf4f7cc9f, 0x138a6299, 0x100bdc05,
+    0xc824e3a2, 0xb8afba69, 0xbba42e1e, 0xc149b5cc, 0x49b06148, 0x33607ed9, 0x7dd7379d, 0xd65d8e52,
+    0x2e10142f, 0x5bbd281d, 0xf1bacc4b, 0xcb778a82, 0xdc810aba, 0xc2cc4cb0, 0xf7024249, 0x06b00e94,
+    0x2c36354f, 0xeb4bacde, 0x1b4c9241, 0xf11d9036, 0x9b134985, 0x33ee4c98, 0x335fb437, 0x20d256d5,
+    0x238d6269, 0x946698e2, 0x14ab2195, 0x4d32b3f0, 0x400b45d4, 0xff12572c, 0xac57dd63, 0x24d6dfd8,
+    0x6ee07262, 0x739ec28b, 0x318795a9, 0xff698cde, 0x0cf68410, 0xf718b455, 0x0b772eff, 0x42209b1c,
+    0xcd047958, 0xfd09088b, 0x8a1ef5ef, 0x92f9d08a, 0x73eb4f03, 0x37529553, 0x1827028c, 0xb55677eb,
+    0xa6407194, 0x63fd36db, 0x1378b2c8, 0xc1ae2c83, 0xc6d6214e, 0xeaa6f8e8, 0x2e298137, 0x930663cd,
+    0x3652cf62, 0xd581f964, 0xab420d1b, 0xea1be285, 0x2c3af6d6, 0x1a248ac3, 0x1da9f1a2, 0x4a766fcf,
+    0x1865163c, 0xb9eb1c22, 0x104c78fe, 0xa41eb793, 0x1c96eaf1, 0x24c6434f, 0xaddda0f8, 0x78124f52,
+    0x8b80d269, 0x199faf5c, 0xc0552df2, 0x56723478, 0x2433e717, 0x29b19369, 0x45346348, 0x04459407,
+    0x6880e437, 0xc908348e, 0x362396f7, 0xdefe4f27, 0xd341ef35, 0xd6f51d83, 0xe137135b, 0x44b34b3f,
+    0x2b1043b6, 0x87e8d053, 0x4275a1df, 0x0c8d88b2, 0xf6fb26aa, 0x8bb177f9, 0xc28e507d, 0x9ad37b96,
+    0x14f0f961, 0xc63e33ec, 0xb2e988fb, 0xbcd5d8b3, 0xeb05de6d, 0x0cc51b42, 0xf15ee0ad, 0x4f68761c,
+    0x77d8fa39, 0x50759c01, 0xb8b4fd2f, 0x5561f545, 0xd21f2190, 0x2e8a8387, 0x7db90981, 0xb1844f38,
+    0xed00cdec, 0xd5e452f0, 0xc7b28be4, 0x4aebd34a, 0x6581165d, 0xd1bdbb0a, 0xea704568, 0x5891d3ba,
+    0x41410b46, 0x1dc9da30, 0xa1e28fb0, 0x61dff2c3, 0xad5a3d7e, 0x0c31e170, 0x1deff80c, 0xc798bbab,
+    0xe96cb87d, 0x0c781663, 0xf0ea4592, 0x0285b32d, 0xeef5b18a, 0xff942bae, 0x74809f6a, 0xac1e6a9f,
+    0x089960e0, 0xcf5b57e7, 0x9a3b87c4, 0x5726f609, 0x97eb41d1, 0x99075335, 0x806ba8b6, 0x1a870ffa,
+    0x491fa12d, 0x71b4edfa, 0x866fc05e, 0xd5d661d8, 0x6a47c295, 0x587d7687, 0x188ad44f, 0x93f26c49,
+    0xda2ce3d8, 0xda481171, 0xc485ae9f, 0x01ccb953, 0x08753f19, 0xb9233610, 0xbc33abb4, 0xbedc4cd9,
+    0x826820d0, 0x9b264055, 0x57e2278c, 0x3876e274, 0x7bf29bdb, 0xddc27f0d, 0xf21fe974, 0x4da9c7a3,
+    0x7c1b8559, 0x19fdd927, 0x6c06edc1, 0x5e2a536f, 0xa07f3083, 0x755ec0f6, 0xa8a62981, 0x160d780c,
+    0xd6046b9f, 0x17f892bb, 0xdc072b65, 0x119d2640, 0x5e9ab0f5, 0x9c3a68ac, 0xd531fea6, 0xd1e20012,
+    0x500c2967, 0x06cf21e1, 0xe730bef5, 0xb41c3eba, 0xa1052795, 0xe6c0b67b, 0xd6467d2d, 0x562afac1,
+    0x810a7bca, 0x700a8aef, 0x01e936aa, 0x60ab0e63, 0xd323fbcd, 0x73b22a21, 0x249f0d90, 0x4c0264c3,
+    0x15aa8bb8, 0x78d8ffa3, 0xf459d8d9, 0x828ea171, 0xd22024e6, 0x6516ade3, 0x42b6edde, 0x33d0f9e1,
+    0x0a8580eb, 0x176f3f13, 0x46bf8a00, 0x3c8e4860, 0x73e997ac, 0x4f7cbfdd, 0x67215f08, 0x6d8e89c8,
+    0x5d6543dd, 0x7bd522c5, 0x2d6cc260, 0x53bf4d0c, 0x8c18e03c, 0xb358cd4a, 0x5fba468d, 0x3ece6a44,
+    0x4332a8a1, 0x6d3a02c9, 0x4a6c2c0a, 0xdb56d144, 0xe41c31c3, 0xec531b00, 0x574f096f, 0x7114f1c1,
+    0x831b1a9b, 0x91590ad3, 0x5fff8a85, 0xbc2d22c8, 0x1b32c837, 0xd06696b4, 0xe5562ae4, 0x77e4dc7b,
+    0x6e6246ee, 0x83eadfc2, 0xed167576, 0x78755191, 0xde20f08d, 0x867bc8d5, 0x5aa237bf, 0xc2fa33e1,
+    0x2cac4226, 0xa9add2e5, 0xf2c8c4c8, 0x90ef4d09, 0xf4e9a5ae, 0xf177eebf, 0x37adacf5, 0x64e304ec,
+    0x0ab43297, 0xabca94c0, 0x4c519eea, 0x985ededa, 0x54c955f6, 0x5a401915, 0x6a870d4e, 0xaffc4ca2,
+    0xfa3d753c, 0x59086e62, 0xe2b23cc8, 0x86b56076, 0x59c6a313, 0x2c296f6c, 0x61dd857f, 0xcc5bbb94,
+    0x6c47284f, 0x26fa1f0c, 0x7dcf0269, 0x3129400f, 0x1c4ba85e, 0x7e82b9a0, 0xbe388086, 0xde19dd5f,
+    0xda46e038, 0xab8afdd3, 0x62be73d7, 0x96529159, 0xa6daa067, 0x6aeeeba5, 0x34dcb983, 0x90c0c0a9,
+    0xa41ef065, 0xa9928939, 0x820cbeea, 0xf7bbf89d, 0x5b11feb0, 0xc3ba7b51, 0xd9320caf, 0x26b10d01,
+    0xdc757dc2, 0xaab4b3c9, 0xd240b95f, 0x90cb34bf, 0x9b603551, 0x6d54bb97, 0x4b2c0a2f, 0xe02c51c3,
+    0xb5560ce8, 0x9080be78, 0x6a54fa3f, 0x40cec459, 0x950c8830, 0xcdcb4200, 0xd184638e, 0x38ac3930,
+    0x10594ebe, 0x0cdd14fb, 0x7b98aab3, 0x3c7d36b9, 0xf9e05983, 0x9a47c144, 0x3c5fd2bc, 0xb3f95d62,
+    0x999aaed8, 0xadb8e619, 0x1f871ea6, 0x7c1cc39d, 0xb940e8ea, 0x3b526dc2, 0x74c9b108, 0xa0600217,
+    0xfb8993ca, 0xbb5ef614, 0x96730d91, 0xa65a0038, 0x54afe769, 0xe77265cc, 0xcda0cfe3, 0x08e1e5d4,
+    0xb536fc9f, 0xe97b5c97, 0x21f8ac32, 0xcbbbb7ba, 0x0a456ebc, 0xefbdd696, 0x2705a6d9, 0x3b4fe4ae,
+    0xb99abad3, 0x84d40d9f, 0x233e3894, 0x82a1108c, 0xb9067d33, 0x4972ca28, 0xd59957df, 0x6c24954e,
+    0xfccfd8ac, 0xa5de911e, 0x3c8b66ab, 0x57537760, 0x67f9a11e, 0x84194a2b, 0x1e16962f, 0xfc4c2cdb,
+    0x4461bd84, 0x8b979f55, 0x5cd41e43, 0xefbec976, 0x4d6e0c19, 0xdee98fcf, 0x3efab311, 0x129b049e,
+    0x3499e483, 0xbfdf64a0, 0x079e244b, 0x2ef5e1d3, 0x0883e989, 0x3772b6d1, 0x5951b59b, 0x32f99170,
+    0xd3920136, 0x48ea6928, 0x1b91fb90, 0x76c91fdd, 0xb6f03023, 0x24dc823e, 0x18057cad, 0x654182cd,
+    0x4a82dec9, 0x9b027348, 0xed6ff6a9, 0x65f27070, 0x2335c716, 0x8252668e, 0x8bbd3c3d, 0x0e7795c8,
+    0x5ca5264a, 0x2f9d3683, 0xce95fe9c, 0x1a3bb785, 0x06a059fc, 0x03702631, 0x530c28dc, 0x4d22df85,
+    0xb95f8564, 0xfedc8fb7, 0xc172610e, 0x25b55d8a, 0x8ddbc02b, 0x29e91da3, 0x76db4bd9, 0x20fece58,
+    0xd2441d12, 0xecd1261a, 0xa4644b7d, 0x6d7d1380, 0x074e3e0a, 0x2ddcfca4, 0x2867471e, 0x4cf28a29,
+    0xe363a1cc, 0x3e51c3dc, 0x5a368576, 0x4c75dad3, 0x5269af18, 0x247f1670, 0xb6d1ba52, 0x3ee86d20,
+    0xb560f1c6, 0xc7b3417d, 0xf6f8eadd, 0xfbcda227, 0xf1cb957c, 0x0548d549, 0xea9e6f6e, 0x06e20ce4,
+    0xd13bf0e6, 0x1873651d, 0xe9a692e3, 0xee72931c, 0xa4c8fe3d, 0x3673592c, 0x07fa008f, 0x2e9e700b,
+    0x9d45312a, 0x53baa2a1, 0x3788d4a3, 0xfccbda47, 0xf961eb85, 0x61425a81, 0x767c9235, 0x771f3cc3,
+    0xc18e6eac, 0xc3b6b081, 0x17b8f81e, 0xd3e8d271, 0xd29489b7, 0xa3589de2, 0x3343477c, 0x86818ddd,
+    0x081b22d2, 0x648f08da, 0x787dd079, 0x75236c8d, 0xca4b2ca7, 0xa8e2921d, 0x92df7796, 0x1f7f99d8,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000002048 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff2b5,
+    0x00000000,
+    0xa2a682a5, 0xda57c0bd, 0x87a60158, 0x6bd3f698, 0xf53e94d1, 0xb2357c32, 0xc0eaff37, 0x55a2ddcd,
+    0x5191a70f, 0x9e339aa9, 0x62702807, 0xd10d8cfa, 0x791d963c, 0xf9e43fbc, 0x64822d87, 0x3d4584f7,
+    0xf904a16e, 0x256d8390, 0x790c0220, 0xe8f0ea8a, 0xf7cb2956, 0x0ffa753e, 0xca5c1466, 0x9be6d311,
+    0x492b37a4, 0xb6ef1f5d, 0x345e9b44, 0xf616ece9, 0x4f7b204e, 0x90bc9068, 0xc31dcc12, 0x2b852d26,
+    0x6821efbd, 0xde446225, 0x57e599fd, 0xecc56125, 0x0d5132ff, 0x0c331f7a, 0x98aed5e2, 0xc84d85c8,
+    0x345d830a, 0x47486868, 0x3b049a0a, 0x1762d0fe, 0x55d8392a, 0xe3feea57, 0xbf06a224, 0x6b6a1ea8,
+    0x5779f933, 0x1a60b8ea, 0xd33e27fa, 0x16c069d3, 0x6d081e8d, 0xaae223a4, 0xcf620dc5, 0x13f7b9ce,
+    0x41a557dd, 0x2bb3c7f7, 0x7e3db067, 0xd7e61016, 0x50ad9dcd, 0x8b7fe659, 0x84efba5c, 0xa1f4a0eb,
+    0xae3a54b3, 0xa7879246, 0xc807a8de, 0xca5b2da0, 0x3e88e70b, 0xe42a3c49, 0x51c234a8, 0x90fa38c9,
+    0x6014d967, 0x638de003, 0xcc1dad54, 0x19838f3e, 0xdc5e7fbf, 0xcf9822e0, 0x6cdd2d6d, 0xc1da6803,
+    0x05a79643, 0xbba4ea39, 0xfb8d0a4d, 0x73a7d1ed, 0x87c568ef, 0x804bebe8, 0x5eb68298, 0xd7b9c69a,
+    0xa30b0165, 0x73adc0c6, 0x7a58c39c, 0xb0e036d3, 0xa9946c6b, 0x5e9d93f8, 0x53010366, 0x1931e027,
+    0x505cf76b, 0x5f985973, 0xb3e0c68f, 0x7d21dcf0, 0x9a58e78c, 0x11997abe, 0x48e591e4, 0x2e83c07e,
+    0xa4869203, 0xedf42883, 0xce02512e, 0xf06f833c, 0xb8296c5e, 0x7abaa055, 0x65939df4, 0xd0f9cfb9,
+    0xaff24947, 0x3cfe8041, 0xe6dee381, 0x49460e40, 0x395dc690, 0x22856ba2, 0xafb38a0f, 0x3cb9dac3,
+    0xcf5c6b3f, 0x0ffc6dff, 0x985fcc6c, 0x9348f9b1, 0x1c5a54dd, 0xe181a341, 0x557f0cc6, 0x786fb603,
+    0x90ec1fa8, 0x0bbfada1, 0xa3e8a89f, 0x68297210, 0xa83271bc, 0xec946348, 0xbc190c45, 0xf86a7c7c,
+    0xdc74e507, 0xe7fc409b, 0xbb1986bf, 0x8941ce0e, 0xeebe4f39, 0x1a55b810, 0x91bc8e71, 0x820dd242,
+    0x87bb2bcc, 0xef76d74a, 0x09665f28, 0x548f7dde, 0x004c249a, 0x7e15ba6b, 0x4694e7f0, 0xa7c9b664,
+    0x382e57df, 0x8620540d, 0x81075e79, 0x4db4424d, 0x2ae238d1, 0x8ede1570, 0x41f3c91c, 0x14f6564c,
+    0xea529789, 0x702e162f, 0xa8ae46f7, 0xa651c2b1, 0xe43353f4, 0xa760d36b, 0xfd504739, 0xb1fc4100,
+    0xe86c7e4f, 0x1fb67d38, 0xf20b2f98, 0xb53e007d, 0x9cff099b, 0xe096d9df, 0x11177d34, 0xd4c7a2d7,
+    0xefe49784, 0xd3688747, 0x1bf6a26b, 0x1784589c, 0x72f7366e, 0xbe0215b7, 0x7f1699c6, 0x0409a160,
+    0x2fb98a7c, 0x99407df7, 0xcb676a7a, 0x1673af7b, 0xd75d67cd, 0xca506105, 0x07573eae, 0x3eafe6de,
+    0x1d019369, 0x8afc00a2, 0xd4d7312c, 0xc4bce444, 0x7c8549eb, 0x56881e90, 0x4e449457, 0x375f9738,
+    0x87513ed5, 0xd85102ff, 0x3ca239b8, 0x3f465d32, 0xde0c555d, 0xaddeeb69, 0xc16135ce, 0x10738711,
+    0xbdd00714, 0xe96180d0, 0x7478e579, 0x37ad7852, 0xf8bdf16f, 0x62da6831, 0xc495cf33, 0x7b5175e5,
+    0x305b4368, 0x3f060ff8, 0x802af256, 0x3a5bb4f3, 0x085db3de, 0x3017f567, 0xf781930f, 0x8afba90b,
+    0xab176ded, 0xcc1f4e27, 0x899a80a8, 0x20dc3c46, 0xad92b1b2, 0x9bc54032, 0x0922019c, 0xe5922f6c,
+    0xfa6eba76, 0x6e09c492, 0xb10a0b0f, 0x30ca3436, 0x1d7e7753, 0x4bcc8152, 0xdf3383b1, 0x1d27198a,
+    0x0fb835b8, 0x8dadcca7, 0xe5e9e0af, 0xb0b15ea9, 0x2ba5f3ff, 0xc92f9442, 0xc31071f7, 0x67355b20,
+    0x2d1d06d6, 0x64c04915, 0xc6d35a39, 0x91ab5aff, 0xc875aaaf, 0x80247d28, 0x7239a47e, 0x7df06bee,
+    0x9b58637f, 0xf0c32aa9, 0x4ba99b68, 0xfb7ba735, 0x61dd965b, 0x25c1d223, 0xdcdcd9a6, 0x1c2885a2,
+    0x8786ff6f, 0x63ab779e, 0xef419ed8, 0xa0ead02a, 0xb5c68641, 0x1f06d06b, 0xc1382c9d, 0xecf2dc15,
+    0x72cd2c7c, 0xab159c86, 0x322a70cf, 0x824ba363, 0x8620837a, 0x16cc3feb, 0xe4003988, 0xa0a9ba01,
+    0x80013df9, 0xb112a8a4, 0x091dd555, 0x10c5cd15, 0xc87300ef, 0xd68beed8, 0x3746b60e, 0xc0e79bf6,
+    0x0d3e7f6d, 0x3ef04186, 0x1f427823, 0x13289db8, 0x31e3002e, 0x6b4dc50a, 0x420fc8e9, 0xec5f1a7a,
+    0xd807c8ec, 0xe36f8e12, 0xd74c0ca6, 0x147eccd5, 0x2d9478f9, 0xdc574b5e, 0x74f95f87, 0xfc9a6ba8,
+    0xeb3e6a3f, 0xf604f0d9, 0xd6e1bf99, 0x7e240e61, 0xa5c3afde, 0x3dd1828a, 0x6b2bbf25, 0x975dca9b,
+    0x66d31a96, 0xb3fea732, 0xb72ca69f, 0xfd59cac9, 0x63b7879b, 0xd2e247c9, 0x78ff8751, 0x6cd53ab0,
+    0xaae668c2, 0x77dc305a, 0x84a2f619, 0x38fb4b3d, 0x601490db, 0xf127883d, 0x0cf26c6e, 0x565f1c8a,
+    0xa4bdf58f, 0x2ed2469f, 0xd4fb46e2, 0xf6b79407, 0xbea8d8e5, 0xcfd6ca0d, 0xb868f270, 0x54275569,
+    0xc2702574, 0x67061490, 0x95669d62, 0x805c597e, 0x120a7dcb, 0x27391825, 0x6195886d, 0xcc97cd9a,
+    0x6cb8bd96, 0x500338a3, 0xab982b3b, 0xbbd74bf2, 0xf927f0ed, 0x91c1beb8, 0xec2a997a, 0x93380aa0,
+    0x11fe7b6c, 0x63a07584, 0x6494e131, 0x6a6e5b45, 0x9875354b, 0x5a3a3988, 0x8f86c5a0, 0xd7f12b31,
+    0x78ace2ac, 0x5a469f26, 0x6a68316b, 0x9bdc6e92, 0x7ff36da3, 0x85d94854, 0xf4cc3716, 0x3a069499,
+    0x8346d0a0, 0x7c99259e, 0x5f5f894c, 0xb6b89b97, 0xaf256fc3, 0x0b763b36, 0x4ddb0876, 0x73923afd,
+    0xb9eda6b9, 0xd9e795dd, 0x66edcf3c, 0xbde0d805, 0xba48fe96, 0x83b338c5, 0xb4690224, 0x695b69f3,
+    0x18cef687, 0x14c57004, 0x92671694, 0xae452fbb, 0xfe8e350a, 0x16338423, 0x6fdf7246, 0x52432e9f,
+    0xc07031db, 0xf333295b, 0x956cb8f3, 0x1cbc628e, 0xd2fefc28, 0x0a44fbcc, 0x718bef97, 0x32083fcf,
+    0x0dd46f72, 0x9fb0eee8, 0xda81c057, 0x211bf1ab, 0xcd9c6993, 0xb2a9e067, 0xc064f590, 0x1d524002,
+    0x3c147e37, 0xdaa1c775, 0x9911395c, 0xada6cfd7, 0xc345e3eb, 0x261e1518, 0x9a36a884, 0xf5952d27,
+    0x041a65e6, 0x6801f2a4, 0x52947ad1, 0x19dc239a, 0xc2fc8d95, 0x106a0dc6, 0x6c42f428, 0xe11979c4,
+    0x83310fef, 0x2cc05985, 0x09797001, 0x3a90ac67, 0xb2e934ed, 0x28a4413a, 0xeb3579f4, 0x479a68e2,
+    0x0dbdb21b, 0x7405aba9, 0xd041411e, 0xe0769357, 0x8a507e93, 0x253febfe, 0xf51cb06c, 0xecce76f1,
+    0x6e6c5339, 0xe23b7420, 0xf1efb826, 0x898770ae, 0x3a70e6e3, 0x28fe46af, 0x34cf2178, 0x894d89e4,
+    0x2c66e101, 0xe30cd97f, 0xfb3e7e70, 0xf8605d82, 0x8cb1738c, 0x27c4d6c5, 0x7cc7d22e, 0x979fbd26,
+    0x864ef7f1, 0x8131f0f9, 0xe97ffe29, 0xe5e1bbad, 0x18dcd852, 0xe5f29614, 0x07e4fc19, 0x64abf094,
+    0x1cc0c6e8, 0x47bcab71, 0x3ad82e77, 0xc99ffb63, 0xc17a66a2, 0x83175026, 0x93264ea8, 0x8372ea98,
+    0x6d0cfb17, 0x4f662cb0, 0xe3f853f0, 0xe5b9ad8d, 0xb730e739, 0x3762603f, 0xa71a9d3a, 0x70493776,
+    0x987bd394, 0x911d1c66, 0xe05351cc, 0x4e7707ee, 0x534856d9, 0x6a7fb67a, 0x0ed0cfd0, 0x8a687d90,
+    0x7c32a094, 0x6fd4dbf7, 0x7690782d, 0x038aa286, 0x683f4af3, 0xb4cbfdbb, 0xb0384d24, 0x6b4b22be,
+    0x9d8ae6db, 0x44e63fef, 0x9c7e04b3, 0x731af7fb, 0xee11f95a, 0x6fc21264, 0x79d6c171, 0xded83a56,
+    0x144d7433, 0x8d7b65c6, 0x03942396, 0xcd544499, 0x26d592b3, 0xf824ca5f, 0x4f719822, 0x88a77de9,
+    0x3f928909, 0xdd4fb574, 0x1e66e8a3, 0xaef4da3b, 0xba439a1a, 0xaa6936bb, 0x46b33b43, 0xd3ace40c,
+    0x4535d1e8, 0x55ccf49b, 0x209e5f20, 0xf0e03ed8, 0x5ad544d9, 0x9310aa95, 0x245c9633, 0x640e4ab4,
+    0x8d637804, 0x6e4de448, 0xe012933e, 0xc36fccbc, 0xb8273834, 0x429091f9, 0x91416ea9, 0x81f99cfa,
+    0xdce6d9a1, 0x6cabddf4, 0x558b7d8b, 0x1ce8d06b, 0xb52ed73a, 0x265fbeef, 0xdcf39280, 0xb9f7ed9c,
+    0xa2160ece, 0xdb842ecb, 0xc8305fce, 0x45111bbb, 0x183113e4, 0x15020559, 0x84a9f60b, 0xf63e4c37,
+    0xb84292eb, 0x1235eb7d, 0xcde3ed8e, 0xeda0d6f0, 0xd85e2fe6, 0x9304a605, 0xc1608d1d, 0x801f1c52,
+    0xc6b96c6b, 0x61339bf7, 0x116ab1ff, 0x2a0da500, 0x20fcbb1e, 0x2ffa1fa8, 0x8c7de446, 0x88f00f68,
+    0xba506e8e, 0xe5b46dc7, 0xeaec9f5e, 0x6419593c, 0xe26c7ef9, 0x1cf5d51c, 0xc4c79646, 0x0d1da969,
+    0xbb4870fe, 0x0ca0b150, 0x23627712, 0x6c1e9bea, 0x58200772, 0xa91d3608, 0x152bb3f4, 0x3a7028d2,
+    0xf01903d8, 0xfad4fbfd, 0x36dc0753, 0x95b9a99a, 0x8f2cfcaa, 0x88d7fae4, 0x2426dc8a, 0x29755b8c,
+    0x1928e0b3, 0x8ae6dc96, 0x72c8b7ee, 0xa4574384, 0x5d4bba99, 0x725e5631, 0x41bac26e, 0xe2f057c8,
+    0x911e5b8f, 0xdcd13bd4, 0xe36d31f4, 0xcbe4b234, 0x4978eaca, 0x3d7afd0f, 0x34a9a6fc, 0x5c9cc792,
+    0x38f2570b, 0xd3c1dfd1, 0xcf186e44, 0x16b3c279, 0x6fd72003, 0x9b122b38, 0xcf6a5b21, 0x9645deb1,
+    0xbc0004e0, 0xbd5efc9d, 0x235deed3, 0xd64c6e19, 0x7eaa16b8, 0xb1f6fca0, 0xd1b5231b, 0xee209124,
+    0xbc41accb, 0xdefb4220, 0x323f272e, 0x13eef77d, 0xc203b063, 0x864928b9, 0x88e8a624, 0x1ae7336a,
+    0x08e4ab8b, 0xb5f5de32, 0x41f7db2d, 0xef26b3b5, 0xaf97d01a, 0x44cf93c6, 0xb3e19d79, 0x4305a57f,
+    0xb611b921, 0x9e2cf57c, 0x65033244, 0xaadaf85c, 0xb2eb3cba, 0x80409c62, 0x707f4dc6, 0xe6f971ec,
+    0x252e9e97, 0x227aba77, 0x2e43307c, 0xf34ae569, 0xb8ae8e02, 0xac2bea6c, 0x97e8b694, 0x66682f5d,
+    0xf27eb5b0, 0x59a0444b, 0x4f229e7a, 0x0066b3fb, 0xde73e770, 0x7700660d, 0x8d33295d, 0xfe632617,
+    0xc0a8c1dd, 0xffc1eeb8, 0x172ffa2c, 0x759ed5da, 0x6d763ebc, 0x3220ca19, 0xfb907057, 0xfd9c74d8,
+    0x583df7ca, 0xcab2a98d, 0xcac756db, 0x3eee2bb6, 0x6eaf7228, 0xbb292f75, 0x8f6435e8, 0xe61558be,
+    0x6c24b17c, 0xda88d709, 0x430a6f20, 0x8109d777, 0x62afd81d, 0xf26d9ebc, 0x11fd2c80, 0xac44feef,
+    0x277c16d3, 0x1246ae44, 0x256d1a04, 0x1777ab90, 0xebe38ad7, 0xf41c72c3, 0x5de8ffa6, 0x6dbb7d57,
+    0x33733b4b, 0x786617ee, 0xafc3187b, 0xf8e9025b, 0xd9a6ecc1, 0x930c4366, 0xab86db70, 0x9d4791d3,
+    0x91328459, 0xf477be3b, 0x2762b3b1, 0x341dc88b, 0x294d60dc, 0xe5c6aeee, 0x518a307e, 0xbc8cc157,
+    0xa9c46980, 0x265049d9, 0x70256f6b, 0xd4204bb0, 0x01f53f07, 0x60ac2f61, 0xc4b32ed4, 0x818b5247,
+    0xcc013f56, 0xe0e05040, 0x7174995f, 0xa54a65bb, 0xaf52e79b, 0x72c09392, 0xf9dddac5, 0x49fba0ac,
+    0x89c25082, 0x6f98db63, 0xac820e0a, 0xfb6f3adb, 0x6e98e767, 0x4016e8ef, 0xbe65b623, 0x5ad330d9,
+    0x59919d72, 0x6f403c3b, 0x1226e349, 0x88a174a1, 0x3d43d34a, 0x579ebb30, 0x9a2b2d21, 0x4e0666ac,
+    0xc7441c22, 0xb1355ed9, 0x80709256, 0x8c42d6e5, 0xe033a6e4, 0x4988ca17, 0x30323251, 0xbf60969d,
+    0x56d6b80a, 0x11996a6b, 0x1b91453f, 0x9fe3b8d5, 0x25f2eae7, 0xad5149ea, 0x3c1e0d3d, 0xf3d01af6,
+    0x8642879c, 0x457047b6, 0xbeeb3563, 0xab14295d, 0x976efaa6, 0x3563f62d, 0x7510f38b, 0x88984458,
+    0x0b21e326, 0x866e60e6, 0x363c9ca8, 0x641e0f73, 0x6518f798, 0x3e891a34, 0x38fb0794, 0xb9149be9,
+    0xa3cd3b76, 0x912ecffb, 0xf74ca74f, 0x91af9ecf, 0x6289f539, 0xa9f8d08b, 0x22e8a9c6, 0xbe3cc290,
+    0x28f158fa, 0x8df02c33, 0x5614f097, 0xb8eb690f, 0xb2697611, 0x078260ea, 0xa3f4ac89, 0xf02add24,
+    0xe562da53, 0xdb3c44cc, 0x3d15cf64, 0x70fd48c3, 0x86be3592, 0xae15b017, 0xb697a3dd, 0x78ffcced,
+    0x8d680f03, 0xd4d040f9, 0x7a8fc029, 0x2c61d880, 0x33b20ea1, 0x9d388fc9, 0xc8ece6b4, 0x042f86d8,
+    0x961b9ef5, 0x7d0349a3, 0x1c7fcb99, 0xbe71b99f, 0xd12a5473, 0x3c31dca7, 0x8d4050b7, 0x60cadb94,
+    0x199349d8, 0x962aa344, 0xf72944ae, 0x818b3f07, 0x7d04a1f5, 0x23e8dbb0, 0x0501ef59, 0xbcc99705,
+    0x848779d3, 0xc9bd57f0, 0x9d909766, 0x33579492, 0x39c60523, 0xa9d2cbe7, 0x111bdeec, 0x429e6f6c,
+    0xf8bd8280, 0xde2bfe0e, 0x26d53a09, 0x1a77e31a, 0x6b639398, 0x7914b82c, 0xf18e35a7, 0x0debb69d,
+    0x8cf6de0c, 0x7d027891, 0x0537ae03, 0xfc5e1fc6, 0xe5587181, 0x3c0a0719, 0x90f97354, 0xcc5911c1,
+    0x3c3e5363, 0x87f1aba8, 0x547e2c04, 0x3f1352b3, 0x096d7b44, 0x1bb27ca8, 0x49b55019, 0x9649735d,
+    0xd78d7b2a, 0xfbadad43, 0xb625c9f4, 0xc94db4a3, 0x75db95ed, 0x99582119, 0x2cbf2d28, 0x50ba912a,
+    0xcb18f063, 0x7d13040f, 0x3b1fa4fe, 0xa5b87edd, 0x4d2db5bd, 0xefdc8872, 0x0869eee8, 0x3593a3c2,
+    0x3c40bcfc, 0xd6065692, 0x9f2f7fef, 0xcd65eb4c, 0x5b23c1bb, 0x34d7b570, 0x405796f3, 0xa3556628,
+    0xa9a3241a, 0xbf58f9ee, 0x69a6785a, 0x07f51409, 0x07cdade1, 0xf37c1db5, 0xf5e948da, 0x7ea1be38,
+    0x0240f6e1, 0x081f7126, 0x23438e83, 0xda2c0207, 0x572905d6, 0x89d4b53c, 0x085b8bde, 0x4e862b0a,
+    0xd7ac6a27, 0x63c2f988, 0x9ec455f9, 0xa51353b2, 0x94525af3, 0x86203a1f, 0x936e6d8d, 0x2fa3ac63,
+    0x9964a006, 0x8127b4f2, 0xe6488088, 0x8c88cac8, 0x81c5973d, 0x3cd04bbc, 0xb9661ec3, 0x3de77f02,
+    0xe3239551, 0xdb3bd34c, 0xfcae11c0, 0x0d3c7037, 0xc631318b, 0x9104040c, 0x3d965def, 0x6b71a89a,
+    0xf9c95b8a, 0xac8d72f4, 0x4603d332, 0x380dbf3a, 0x2fc6d878, 0xd11ef16b, 0x19f4b416, 0x937d9777,
+    0x0df7fa5e, 0x477c99ae, 0x4e78431d, 0x48fec080, 0xbdc3acad, 0xd4392c74, 0x950e5f7a, 0x212e5213,
+    0xd93fbf8f, 0x9a489c91, 0x3f1d1d2a, 0x933fe700, 0x93409d53, 0x16baf3c3, 0x6d2d0190, 0x44a3fc3a,
+    0x8b37a235, 0x8bfb8f47, 0x6afd074e, 0xf99b4add, 0xbabeb374, 0xac586e57, 0x2964f193, 0x253cb952,
+    0xaf572249, 0x839c6883, 0x87c37758, 0x42019c3c, 0x57f96c56, 0xac87c627, 0xdd6fef12, 0x9d90fc11,
+    0x2a43c9a1, 0x47ca6e5e, 0x9230ca7d, 0xe94e073c, 0xbc72004d, 0x4c933301, 0xc1601cd0, 0xfa1cb6f6,
+    0x19068b7a, 0xcd61615d, 0xa87cfdad, 0x38b649ff, 0x6364f349, 0xdfd299f1, 0xaa5e6e30, 0x116b0b28,
+    0xef3bca75, 0x3e0c51ad, 0x57315ae0, 0xcabc6437, 0x4d4cd93d, 0x697c1b18, 0xe3da1e06, 0x121cbf71,
+    0x47d4e7fa, 0x916fc69e, 0x709e17fb, 0x86370812, 0xa2038651, 0x50363a9a, 0x7a4e7f6e, 0x011ef1ab,
+    0xf563f56c, 0xe91e0bea, 0x7eeac7f2, 0x046796c3, 0x79fc55b9, 0x978121a9, 0xb7c1254d, 0x5ecfeea7,
+    0x5bc627b1, 0x19288d50, 0xa1043879, 0xa78f01d2, 0xc09eac32, 0xadd57f11, 0xa21a33ed, 0x64f5b3cf,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000001024 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffff95a,
+    0x00000000,
+    0x9049ee32, 0xdb23d21c, 0x7132d332, 0xe3f204d4, 0xe7317d62, 0x209b6a93, 0xd4c94a9d, 0xa0693e0c,
+    0xfefde89b, 0x01e51068, 0xe0e47572, 0xdfadea99, 0x47d7c137, 0x5d35bafb, 0xe8318460, 0x0e906d64,
+    0x0c1ec3eb, 0x3e8e0a80, 0x0e421325, 0x39a47d37, 0x3018e3ee, 0x7319560b, 0x5143d3ba, 0x9eb1af78,
+    0x97e0669f, 0x6c1158c7, 0xf61f98d8, 0xea784a4d, 0xb7c15899, 0x9e9417e6, 0x82aca121, 0x155ef808,
+    0x56e9c680, 0xb381495f, 0xbf03bd37, 0xb37ff019, 0x74e6e881, 0x8ea58844, 0x63205b60, 0x9d95899a,
+    0xe030d4e2, 0xf02b6e57, 0x5fb1c1e4, 0xdbced830, 0x517f6bec, 0xb6b5d467, 0x7576da6a, 0xe1284265,
+    0x58a540c2, 0xfb5d5b69, 0xb533bbf4, 0x173e290c, 0xea2a3883, 0x52acab89, 0xefc65150, 0x46946e27,
+    0xf8ab1e4d, 0xfebd5315, 0xd214c1a8, 0xce90785f, 0x323f0597, 0x4a123c5a, 0x1e75a2f9, 0x82d510f8,
+    0x28ea3e4b, 0x997846ef, 0x16784839, 0xb20ebb49, 0xa4912044, 0xbcab954d, 0x00f7503e, 0xa0b2c86a,
+    0xbd9d1402, 0xf10336a4, 0x60293e02, 0x6298e49a, 0x1746a353, 0xdbf2f196, 0x0e87338b, 0xb72f227c,
+    0x22682356, 0x50036c30, 0x175b448c, 0x5a10cf5d, 0x4c3f62ce, 0xa72a76b9, 0x375b0266, 0x72ca786a,
+    0x63b0be25, 0xad28125c, 0xcaf644cb, 0xe1d4addc, 0xb920e54a, 0x4609ccf3, 0x259b1183, 0x0b39ad61,
+    0x7276ee8c, 0x72438718, 0xe8fba71f, 0xb3dcac96, 0x302de8f3, 0x718ee4fe, 0xd550b11e, 0x6907fb13,
+    0x6a40c4ad, 0x412e399e, 0xd31ddc8c, 0x131161e9, 0x5fd4eec4, 0xe772e8b6, 0x50743242, 0x4e95778c,
+    0x8d492952, 0xd54cc5f6, 0x73d405ac, 0x15ae6c8f, 0x9e691076, 0xf0a6b105, 0x1b96de6f, 0x6ad2c45a,
+    0x31875f43, 0x4d83ff36, 0x2aaed1c7, 0x06ca2c83, 0x6b9c1dbe, 0xe9cbaa36, 0x044980f5, 0xeb61ae9d,
+    0xf15d57a8, 0x722fc9f1, 0x150b53d0, 0x556f2f10, 0xf5e8f244, 0x9c633562, 0xa5f6a320, 0xbf2d73b6,
+    0x987891ab, 0x23e45605, 0xfe1fb617, 0x30d54ae9, 0x8c4123a9, 0xaad2e330, 0x63231da3, 0xccdac02f,
+    0xe28f7977, 0xa256fbfc, 0xc3f39cc8, 0x73c9e559, 0x55662034, 0x067a05a6, 0xafc2dbee, 0x3d2ac6e0,
+    0xbe7d5dcf, 0xae2820d8, 0x7e15aaad, 0x85d627da, 0x60521f77, 0xf5ee3018, 0x8b5e3b0e, 0xafe73f28,
+    0xbc007451, 0x6064a231, 0x3e87ba6a, 0xa2c9854d, 0x2801f894, 0xa773b154, 0xca7f2753, 0x696b0fc9,
+    0x41158965, 0x380c5d65, 0x8c4f4891, 0x2b984b4b, 0xb7b9651e, 0xa155d219, 0xeb86928f, 0x08ecc4bf,
+    0x327f3263, 0xb92b3d29, 0xcd5b315a, 0xbf8cc2a9, 0xcf4688d0, 0x045b29d3, 0x108f8f83, 0x52912baf,
+    0xfd3141cb, 0xeac98972, 0x2e25f359, 0x5670bc34, 0x49df191d, 0x66b1cfd1, 0x2323e9dd, 0x12647ab1,
+    0x9a511cab, 0xc833b75d, 0x15302400, 0x556c4cbe, 0xb0c7eb46, 0x81552395, 0xacfdcc56, 0x880f49ae,
+    0xed3eff71, 0xfd806db5, 0x454ad5ba, 0xdb54abf4, 0xd0987f7f, 0x2fdf7cd6, 0xf106302b, 0x504c7cf7,
+    0xf85d2879, 0xf5181bf4, 0x434a29db, 0x7a2b7ba2, 0xe6e6f2f6, 0x842722db, 0x36388165, 0xae515b6c,
+    0xecfae099, 0x9453ec17, 0x3eba7996, 0x70c30a88, 0xbae2e31f, 0x196a0545, 0x01358a2b, 0xd438fdb7,
+    0x1aeeeb4f, 0x52c275e2, 0x3e0ad7b9, 0xb479275e, 0x562747bc, 0x37b1f50e, 0x7e675158, 0xbde0c24a,
+    0xcbc10085, 0xfe1bfa4d, 0xcd6becc0, 0x1c68b3b3, 0xe160a16e, 0xe8d40b88, 0x8a9e0a58, 0x4864d38a,
+    0xb2a2a9db, 0x669cf1f9, 0x9359764f, 0x22a4901c, 0xc9c7dd8e, 0x3a0cb3d3, 0x0d323070, 0x1a4b05e5,
+    0x677ac6a0, 0xb76b66c5, 0xe7e853ea, 0xf6d41ed5, 0xe925ac4a, 0x2c12de2b, 0x1763623f, 0x9bbd095f,
+    0xe3f97a22, 0x079ee9a4, 0xafb70cef, 0xe7d94ed9, 0x2c8a0dfb, 0x569a69c3, 0x19f0d3ee, 0x2fa0e033,
+    0xcdc99d92, 0x4de3fb8f, 0x693773fd, 0x30a08277, 0x4539c216, 0x2dc16313, 0xcf9cafee, 0xaa42c185,
+    0x1b803cfe, 0x227a557b, 0x782e9007, 0x9d2659e8, 0x3627bf2b, 0x9a8d1891, 0x7b557790, 0x4b3b7977,
+    0xd5a6f1e4, 0x8eb938c7, 0x51c0b168, 0x5308554d, 0x172f9459, 0xcf383401, 0x93374643, 0x83a31039,
+    0xf0b1ac39, 0x761126f8, 0x7873bf9f, 0x8612dc6e, 0x641680cd, 0xfd572f1d, 0xfc7c65f6, 0x6be6dc88,
+    0xd1fb2ae3, 0x2dcd3aa6, 0x194dcdd3, 0xff8da76b, 0xc1bef2d9, 0x75fe92f8, 0xe51c9c0c, 0xb01b8b45,
+    0xe216976c, 0xd7835d49, 0x1796a7b3, 0xfbda044b, 0x6474a501, 0x743e8c50, 0x305483ae, 0x7d03c5bf,
+    0xed760074, 0x71616ccd, 0x343a8010, 0x17c0f193, 0x033e2dc1, 0x4168aa8a, 0xb7017168, 0x177872d7,
+    0x133f88bc, 0x9546767b, 0x4ba1c48d, 0xaeff3613, 0x2892c623, 0x6981a255, 0xe6247ef5, 0xf0fc49e7,
+    0x11208d56, 0x5a916989, 0xce420705, 0x26343e19, 0x5bf749ef, 0xb351ab32, 0x152c59f4, 0x4f2b97b6,
+    0x7d5f13c9, 0x45623e4a, 0x0daf9bd7, 0xd11be526, 0x949563b6, 0xb9a4300b, 0xf2d29ed0, 0xda55b73f,
+    0x27588a00, 0x2779ae25, 0x1c6623fc, 0xd0dc0123, 0x73d2b951, 0x0decb251, 0x45d5f708, 0x8735d6fa,
+    0x8c1a5632, 0x6becadc0, 0x14bf3d9a, 0x55eb938e, 0x5a81bb92, 0x379456dc, 0x4fd827f1, 0xa05b0d78,
+    0x2ab33c42, 0x1c6f3a0c, 0xfac213e0, 0xba9f2ad0, 0x18c3705e, 0xe49e090e, 0xe3cb6dcd, 0x6afa9d96,
+    0x86efe54f, 0x398cce50, 0x3e2c2430, 0x66c4efbc, 0x602c3d5a, 0x700821af, 0x695b6c37, 0x738ff232,
+    0xd3378c8b, 0x987e4e02, 0x4053f303, 0x8cf7ac53, 0xc98e1538, 0x1818fb4c, 0x7e476d7c, 0x207eb57b,
+    0x87a5e5ef, 0xc93f3ccf, 0x3c5d3009, 0x195c3f76, 0xa9eb3910, 0x8f3c0150, 0x0da27675, 0x4ca0b62b,
+    0x85739441, 0x1e5592b4, 0xe15c67bc, 0x7acd49d3, 0xd57e3ef0, 0x190c109a, 0x717ef862, 0x1bc9db3a,
+    0x2c0b994d, 0x1529ac2d, 0xd88f970c, 0xf371c301, 0x17260d1d, 0xcad94cfa, 0xcd871e35, 0xad49a42a,
+    0x3a47b7b9, 0x983c3f18, 0x7abf9871, 0x351c805e, 0xefef3268, 0x41c6fbf4, 0x3ff014df, 0x51a24712,
+    0xcfca06f0, 0x640fde0c, 0x9f07db97, 0xa7faa3d9, 0xb4a38f35, 0x7292ddfe, 0x13bc5af3, 0xb1fed1b9,
+    0x7091b06e, 0x583a5aa5, 0x82e3cafc, 0x710a5725, 0x065ba36c, 0x5b4ff868, 0xd1a4aec5, 0x6c707f43,
+    0x22cd843b, 0x0be2c2e3, 0xbd81ce44, 0x8a5aee8b, 0x7a86c5da, 0x930fe843, 0xca049a91, 0x488f8ea8,
+    0x7a80d56d, 0x731b6c83, 0x0a5d1eb6, 0xf301f1f9, 0x4d60caa8, 0xcd7a61be, 0x54cf42eb, 0xcd32e260,
+    0x756e50b8, 0x42d6461f, 0xfb858822, 0x199e98a2, 0xd781aa5a, 0xa1cc9229, 0x1ba9567d, 0x9997780f,
+    0xba016117, 0xea49ef5f, 0xf2097d1f, 0x8cdacbd2, 0x6536f318, 0x80d8989b, 0x79fb462c, 0x3fb25dcc,
+    0xc9bfcaef, 0x1fa62d69, 0xcf31e178, 0xffd29e6e, 0xf601d4a5, 0x1b9ee8da, 0x27711038, 0x1e8b22f3,
+    0xb811b0ac, 0x8844b335, 0x8e51316d, 0xf4c12b32, 0xd39a83fc, 0x8ab02f8f, 0x73632b6c, 0x08f3caa7,
+    0x2e1a0768, 0x969def0c, 0x319a629e, 0xdbcbd40a, 0x1833ed16, 0x8a8f20e9, 0xac60f6dc, 0x787a3994,
+    0x4472433d, 0x50590b94, 0x84e5ba6d, 0x10405c2a, 0xa5638d82, 0x5f0c8d64, 0xad67988e, 0x2d3dfb06,
+    0xd6126931, 0xeedf67de, 0xc37194d7, 0xf5034f4b, 0x17866196, 0x2f70960e, 0x9b267880, 0x5d8736f1,
+    0x64b67a6a, 0x71047beb, 0xb56a9da7, 0x97645436, 0x8a528d5e, 0x4e55b216, 0xaed91bc4, 0xf5c54c31,
+    0x888949e2, 0xb2072e53, 0x530075fa, 0x66a3edcf, 0xc36b2d1d, 0xac80b062, 0xf88e7a87, 0xf57689f5,
+    0x55e3f856, 0xedc64710, 0xbd58fc08, 0x3e57c02d, 0xd3335f5a, 0x48390cf4, 0xc9f5ea15, 0x9bc92162,
+    0x6fb7ebc3, 0x431092aa, 0x4474d77f, 0x43172d19, 0x5671e84d, 0x4fdaedc2, 0x3e780fe3, 0xfeb40bd8,
+    0x4290eba2, 0xc4cb03be, 0xd2b5fe94, 0x6f7bacbb, 0x50397c03, 0x2762a367, 0x546ca9e4, 0xc19ec02a,
+    0x54c4ad52, 0x142817c0, 0x4a70415b, 0x5a5c4e11, 0xc56e5e11, 0x3dc1e04b, 0x7dd4db32, 0xe5a38e43,
+    0xf01742dc, 0x8350357a, 0x65de0692, 0x201573ce, 0x568779e4, 0xca148837, 0x0dfe81f1, 0x1cf8a5de,
+    0xfd600908, 0x4b9b352b, 0x634121f2, 0x8b8a6006, 0xc88db359, 0x5bad88ce, 0xd7955acf, 0x1cac51ea,
+    0x2cfcb4f9, 0x005fd734, 0xe7ab0f56, 0x5df1aa58, 0x99e8a0f9, 0x43c50325, 0x7f276ef8, 0x620ea50c,
+    0xe0773fcf, 0xe5a0a1c0, 0xf88b42bd, 0x0c41ed21, 0xd3369644, 0xbdb67d00, 0x9d5c83f3, 0x175b130a,
+    0xf05b6dc0, 0x20fa2985, 0xcb138ed2, 0x3b294189, 0x82004133, 0x4eab9a48, 0xb163e294, 0x4a456a4c,
+    0x225008e3, 0x60dff653, 0xf0bf7132, 0x12fea435, 0x6e300d7b, 0x1bf0ea4d, 0xb59c9b6e, 0x7df67c02,
+    0x86a166f1, 0xee8fb8fd, 0x8c574473, 0x69379dcd, 0xbcc936c0, 0x698b0c95, 0x63633f28, 0x351adf13,
+    0x90cbd54c, 0xa8ed9a85, 0x5c22a812, 0x5803f22c, 0x6147578f, 0x760836c4, 0x73ce3a14, 0x906a1579,
+    0x5cd82081, 0xdf0ef832, 0x09866bea, 0x12266b64, 0x84fed96f, 0x0e28ed03, 0x92fed051, 0x46b9f324,
+    0xd75f4fcb, 0x0c98f14d, 0x69148085, 0x77ca0342, 0x4624ee72, 0x926c927e, 0x5c88eaac, 0x3522ce0a,
+    0x02e287dc, 0xbc546ce4, 0x2ff0d702, 0x8698fa0e, 0x743af537, 0x5af4283b, 0x37587860, 0x868f4a24,
+    0xd9994f12, 0x825dc752, 0xbc6d4441, 0xf86264e1, 0x521dd841, 0x2a780fc6, 0x83e57ce8, 0x4fbaa6b1,
+    0xc27f3e15, 0x9bc44ff8, 0xe78b0524, 0xaa70ca04, 0x0ce5c99e, 0xa86a8509, 0x2d4a5985, 0x5c108362,
+    0x1fa288e6, 0x0ef6233f, 0xf28632e4, 0x451ceffe, 0x3ce54d00, 0x8afecdc5, 0xf9b501a7, 0xcc24e694,
+    0xadf8ebaf, 0x02e8d1cc, 0x6ea2384f, 0x67e92797, 0xca1f49fb, 0x8a96297a, 0xe715e467, 0x64ded954,
+    0x8590cdca, 0x269cf042, 0x6594e05f, 0x59b4abf1, 0x3c281403, 0x49e8776d, 0xc18a5ac9, 0xd2338652,
+    0x524f0c64, 0x362dd2ca, 0x85ae7449, 0xc1ad4df5, 0xe43a0b8b, 0xff6c532b, 0x9d8a4191, 0x213c5d27,
+    0x2c9a1d87, 0x708dba6d, 0x0f8cab18, 0x623aa736, 0x9daedc63, 0x0f604f16, 0x72b4261a, 0x174b9975,
+    0x1b084ff3, 0x9546c801, 0x822f918b, 0x421a029b, 0xb059d5fa, 0x2587914f, 0x370bbc3c, 0x6ae1bf19,
+    0x354ec3d0, 0xf9f0c97d, 0xf7698e35, 0x4b13fda4, 0xdce090e3, 0x5e714dab, 0x4f1470d1, 0xd0e5563b,
+    0xaa6b93d3, 0x879e9e92, 0x2777ac72, 0xc2777bc8, 0x09abd540, 0xb93ea91e, 0x3ed1ba61, 0x9fdfb834,
+    0x55f7f7b0, 0xd2a898dc, 0x9dadccc4, 0x1409637e, 0x5676a2dd, 0xd3e8e583, 0xb3f66674, 0x7051c238,
+    0xfc88ca38, 0x582dc797, 0x25f24da0, 0x483dcdf6, 0x89fc7a30, 0xafdfa235, 0xbb9a24d7, 0x05e99012,
+    0x4ae299ad, 0xe6a78d84, 0xf49c9e2e, 0xf8d845a4, 0x87affa48, 0x152cba27, 0x533e38f7, 0x89c63554,
+    0x8b47651b, 0x7286fe54, 0x63a7de75, 0xabf57f39, 0x39ecc252, 0x45d4d578, 0xc90e9914, 0x179644ad,
+    0xd63faf47, 0x7206b107, 0x67ea1bbd, 0x0d986e4b, 0x99b998d6, 0x87fef19e, 0xab7dfe28, 0x595b124a,
+    0x7c547936, 0x28850cc9, 0xfd59bbd8, 0x2a4f49c2, 0x798ed605, 0x297b0fcf, 0x95e29977, 0x6bebf85c,
+    0x4dfc9503, 0xb7c56163, 0x58b52f38, 0x83e24122, 0xa51a0392, 0x8f4042c0, 0xeb6d0dec, 0x466426b8,
+    0x35f724c4, 0x25507ef9, 0xc8d10bdd, 0xe8c86cda, 0x6f1703ed, 0x430eab28, 0x92628f72, 0xd57cb488,
+    0x07b55162, 0x59b5076b, 0x622dc8ec, 0xf2ecd14a, 0x3919610d, 0xd0c12214, 0xa7df46f9, 0x535cef50,
+    0xb699a275, 0x8b1ddfba, 0x4af19629, 0x154fb5f7, 0x0acfe59b, 0x0d3fcb76, 0x1b6ec221, 0x61d3dd9b,
+    0xaef6539f, 0xa6f2a09b, 0xe0681aee, 0x610b4c1d, 0xc9643142, 0x2de19532, 0x075028c6, 0xbd445ea0,
+    0x8fa0ca3d, 0x239d7ac6, 0xdb97aa05, 0x44b02c54, 0x9b2ab785, 0x91923458, 0xda560c7e, 0x974f251a,
+    0x0f2a019c, 0xa599aa66, 0x59ac9408, 0xbcf3bf89, 0xa7f0edbf, 0xd81c2189, 0x005ec2d8, 0xec1cd2e7,
+    0xe8abb467, 0x8e5d23fa, 0xed4c9df4, 0x9344d3ff, 0xf4335ea7, 0x202b0a47, 0xa38dde7d, 0x3fc732c3,
+    0xac58aea3, 0x99a0bb8e, 0x26bb109c, 0xfdf59de0, 0x285f515c, 0x81dd0e84, 0x08af6e2c, 0xd1ed54e3,
+    0xe3a9f470, 0x604a0bd6, 0x80765a45, 0xe85df0a6, 0xd8722382, 0xa97367fe, 0x3c6e732a, 0x7f433553,
+    0x87a02f76, 0x0f272513, 0xa43d296a, 0xe984d888, 0x53e8e757, 0x8f9b14a2, 0x75d59884, 0xf32a4da9,
+    0x74aa7086, 0xdafaf596, 0x98c99a6f, 0x0a9a2d6e, 0xd68e46f4, 0xef15d1e1, 0xb62d8d15, 0xec6bab9a,
+    0x769a7596, 0x0afe709e, 0xdb20437f, 0x9692656f, 0x8b208967, 0xb5b31193, 0x9909ed00, 0x59f5664a,
+    0x6296db3d, 0x3b14e9a9, 0xb539bfdb, 0x73ae9c2e, 0xb17f6350, 0x0d55cbfa, 0x4046558d, 0x57427475,
+    0x49180277, 0xb36d0d0b, 0x97568fd4, 0xa13d3772, 0x0c0147d3, 0x3577a33d, 0xe157b53d, 0xba58eb36,
+    0x120ff94c, 0xab3b563a, 0xaf2bd006, 0xe1b016ac, 0x39f416db, 0xfa8ae022, 0x92f17b89, 0x832d13f6,
+    0xcc796ddd, 0xccd0a82a, 0x52b2971f, 0xde2b30c8, 0x3aa7d136, 0x8be29784, 0x414bad46, 0x6cd2d468,
+    0x88b46efc, 0x22ae270f, 0xd198e52d, 0xb8e9871b, 0x6bd32d35, 0x6a74eccd, 0x9ce5eb66, 0xa5b938e9,
+    0x7bdb4eb2, 0xdf3676d4, 0x0dd4ee45, 0xc4c71daf, 0xb410f86a, 0xeb4dc66b, 0x893d11e2, 0x54576581,
+    0x0412d260, 0x7df002b9, 0x37a28e6b, 0xacac20ff, 0xfb5b203e, 0xd1fd31f0, 0x6fd746b7, 0x8e54a225,
+    0x4e7229dc, 0xadfc8a19, 0xc3f12a28, 0x4d6f2865, 0x835e6143, 0x24e9b5d6, 0x95f8be0f, 0xcfffffab,
+    0xe4212f2c, 0x602876f7, 0xede195d2, 0x436bf57f, 0xcfb87481, 0x82364c1e, 0x81026f80, 0xe234a284,
+    0x6ab93443, 0xae6f500b, 0x707c443e, 0x58e8040c, 0x0b6e3b4a, 0xb7672c7f, 0x780fe2d6, 0xd0273e95,
+    0x2bce6e2a, 0x566c07fc, 0xab17ee5f, 0xa1f62aaf, 0xadac6240, 0xde4a7773, 0x969ec0c5, 0xc7d4a189,
+    0x7ec3e0cc, 0x2e2d58fa, 0xfa0fac39, 0x3429dd97, 0xdbe8affb, 0xece8cdf1, 0x8809adc5, 0x4225a023,
+    0x1d9c22cd, 0x01d80d68, 0x9c6992bb, 0x9ca15193, 0x27d3840a, 0x54da5bc7, 0x4fcb2371, 0x5a877495,
+    0x247d7413, 0x83aa829e, 0x5ed4bc22, 0x53b48a15, 0x8b409a77, 0x06fc7338, 0xdf38c851, 0x90faf633,
+    0xda4d003b, 0x02109bd6, 0x293c4688, 0x809da997, 0x1ac40a3f, 0x4c602381, 0x17f3fdbf, 0xcd9c890e,
+    0xecf71dfc, 0x96d5c88c, 0x7df2ec62, 0xb753c481, 0x26677ee7, 0xe813a95a, 0xb4301c47, 0xdab3af0f,
+    0x020d67de, 0xa385ddd3, 0xb6bf56d4, 0xafa1736c, 0x2cfbab9a, 0x23abc1c6, 0x5954f033, 0x4ff62d7c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000512 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffcac,
+    0x00000000,
+    0xc0314325, 0x637a1939, 0xfa911155, 0xfefb5308, 0xa23e2ed2, 0x7766e8cc, 0x9b035377, 0x08b1648f,
+    0x7a730e52, 0xe6e74360, 0x55f3dff4, 0x5e1bdf17, 0x996c8440, 0xac86a8a5, 0x46e7e442, 0x27c7792a,
+    0x4e21885d, 0xe07dff83, 0x231bb409, 0xbd2f7b29, 0x5f6ac417, 0x402b20c6, 0x1e2d5fed, 0x8c3744fb,
+    0x66a46fbf, 0xd3202e6c, 0x88720a58, 0x855c91c2, 0x0ab7648f, 0xf2b5fe6e, 0x4f92d8ab, 0x6312e199,
+    0xd35d948f, 0x5dbe79c2, 0x5b1daf09, 0xde6e28b5, 0xe91d17c4, 0xc2373b2a, 0xd4241bb2, 0x5539ddad,
+    0x7d5b8041, 0x9ffd46af, 0x6da1ed1d, 0x92cc7367, 0x2ceccd57, 0xb2998a9e, 0x13f50b81, 0x4bdc6234,
+    0xdbf252e6, 0x8b9cddd6, 0x28807b61, 0x7ffbfff1, 0xfa4a697a, 0x14f85905, 0x3c176a0c, 0x8befc0b4,
+    0x2e927863, 0xe7b3f359, 0xe2e84e8c, 0x3797850c, 0xb8313665, 0x8371d001, 0x3c7bb0bb, 0xbcedfed4,
+    0xad5aeb20, 0x081d841d, 0xc8d3bd04, 0x6e70c757, 0x28922b18, 0x86efb3a6, 0x1496051c, 0xcb04ce75,
+    0xd2db34da, 0x8307b663, 0x5d559f18, 0x5d1531cc, 0xd184f560, 0x27694d29, 0x7ca4e1d1, 0x874b6baf,
+    0x40fb824c, 0x1b94db1b, 0xa77fb783, 0x97399cf5, 0x0d43e50b, 0xdc48c277, 0xda6366e8, 0x61045025,
+    0x2b58c9de, 0xa5d20936, 0xb8acdd35, 0xa054e859, 0xdfb0fc10, 0x29370882, 0xcc5223fa, 0x5f38aadc,
+    0x492e2d7d, 0x290361bd, 0xe71805d2, 0x52161bdf, 0x10bad5a7, 0x7a17eb1c, 0x28f0b0e7, 0x1ffa601b,
+    0x75efa34d, 0xd6febe37, 0x96cd5458, 0xb842f321, 0x9cb1fa07, 0x0fce4b98, 0xfe87cbfe, 0x4c1a9dbd,
+    0x45f8f2b2, 0x7886d89a, 0xb67901db, 0x05518c1e, 0x277f0b59, 0x24d9a2bf, 0x6c76c6d6, 0xd7ec6392,
+    0x1608cf4c, 0x97228021, 0x05bd3776, 0x4778cd04, 0x8c9e7dea, 0x2511b51d, 0xed9a5939, 0xd62c6de8,
+    0xb1012d32, 0x47e5b646, 0xd961b72c, 0x13122dea, 0xfc5fbdc6, 0xe752b3e7, 0x1d5d2fab, 0x069abe87,
+    0x06d635e5, 0x756c5204, 0xfc5a9249, 0xcf8bf849, 0xb6e9e4bf, 0x88b52549, 0x7bbc6692, 0x0bd2307a,
+    0xe8f2c326, 0xeeb6d337, 0xb3f18d7d, 0x11e71491, 0xabcea7e0, 0x54964a70, 0xf7d6b3a3, 0xed6855f3,
+    0x6d8a194d, 0x21f51a1b, 0xecc1d5d3, 0x7320f7ae, 0x60bd7007, 0xe97ab9b8, 0xc43e370d, 0x9c6e02f1,
+    0xe0d64c25, 0xc6e35efb, 0x31518caa, 0x5e15a08b, 0x8a7d6ae5, 0x9da038fc, 0x2fc02bdf, 0x2af4e223,
+    0x3bbb15de, 0x6e320f74, 0x7a64f1e7, 0xad6b47d7, 0x5bf149c1, 0xb90c157f, 0x8aee516a, 0x2db519f4,
+    0x364b5346, 0x52e898d9, 0x369901a2, 0x0c7fb41f, 0xbc8cb4dd, 0x990b7bbb, 0xa424e72b, 0xb98377a6,
+    0x18ea89e8, 0x90c27854, 0xf7da5cf8, 0x58ce428e, 0x8f7210f4, 0x1a51ca8e, 0xa21c53a5, 0x6bcb71d3,
+    0x50696cf7, 0x44acaab5, 0xfac10bbb, 0x0489fd12, 0xef5b3242, 0x18f2b69b, 0x3abcaff5, 0x08ffdc68,
+    0xba6c9ad4, 0x232d76a3, 0xe99859c7, 0xecc72c83, 0x759c5efb, 0xbd0d34ab, 0x2b2c92e0, 0x738fdea3,
+    0xcd396c42, 0x065adaef, 0xe91bcd43, 0x21c98a06, 0x29409f55, 0xd2107031, 0xb5831ef5, 0x95a77a13,
+    0x46501e54, 0x09a73632, 0xf2c14fdd, 0x4cc01848, 0x27ebb781, 0x948380bc, 0x661fbada, 0xb972051a,
+    0x7c21be95, 0x2594f71e, 0x528c178c, 0x5f18af03, 0x0c8105d4, 0xf8089586, 0x3b081eab, 0x2348cae2,
+    0x919e7df6, 0x7c071fc7, 0x0c737171, 0x29cf2efa, 0x13073f97, 0xaf2cda18, 0x0d0dded1, 0x93051f32,
+    0xeb04c650, 0x80b50fc6, 0xec4c702c, 0xeff5bd40, 0x4fdf2f16, 0xb4eed506, 0xdef60e4c, 0x87f2befa,
+    0x8d62dc12, 0x2858a074, 0x8f60c8b4, 0x8fa85f5a, 0xcb43bd29, 0x38aaee17, 0x1a559db8, 0x25f60642,
+    0x48b51094, 0xffbd5ba3, 0x1519e3c2, 0xd378c35b, 0x59f02a16, 0x0115e45c, 0xbefc7c7d, 0xf2e37d54,
+    0xfbf5938d, 0x68ad3b4c, 0x5946073f, 0x13ae5197, 0xde864f7f, 0xcc626d59, 0x8baf74df, 0x5e35a8ae,
+    0x3ea29a00, 0x39d08e40, 0x0f043335, 0xb55dff13, 0xae4900d1, 0x46dd5079, 0xf168bf51, 0x4a80f5b6,
+    0xea53ce2c, 0x0418cc59, 0xeb9054e8, 0x2fd6669a, 0xca10d6a7, 0x14836d1e, 0x29b5c173, 0x26da8aa3,
+    0x82a7afd4, 0xf5468924, 0xa7885b1f, 0x5a41b05d, 0xf1898fac, 0x62c1d329, 0x110a405a, 0x67628354,
+    0xf3328fed, 0xb7fb3fd0, 0xb6a1e5f8, 0x6e6fc63a, 0xe59014dc, 0x99765981, 0x37ca19b9, 0x15b3eead,
+    0x3ac75a98, 0xc490e15e, 0xaa001276, 0x655a205a, 0xfa2855ce, 0x3cdde9a5, 0x3c840ff3, 0xf9b2c83b,
+    0x60491436, 0x82aa4abf, 0x4e11ddf4, 0xc281113e, 0x6e9fda35, 0xec5a0323, 0x1de23971, 0xe3dd99cf,
+    0x20375cad, 0x8d106dc3, 0x04f9fb94, 0x58bfb838, 0xac7adc0b, 0xb1645249, 0xf32880dc, 0x632acca7,
+    0x1b8c755e, 0x04b1e3a8, 0x1af278d5, 0x7fcdd55d, 0xf9074d2f, 0xedf924ab, 0xd12e2048, 0x613ed587,
+    0x87f24ae9, 0x475bb927, 0x041324e6, 0x8d125778, 0xce8b5216, 0x5414c8b9, 0xb4022122, 0x9c3192a5,
+    0x14ea8cc7, 0x4b3b6263, 0x38d13a58, 0x2e59551c, 0x3fb912ad, 0x8e755d22, 0x71b33183, 0xaf4f6e9e,
+    0x4b34c37b, 0x94750e74, 0x2a5b3c43, 0xfac2ea80, 0x1a159ade, 0x6cfb07be, 0x0a7cf9ee, 0x9cc42307,
+    0xd88b572a, 0x8ebbe0bc, 0x14fc01cf, 0x98aa3825, 0xe5f604f9, 0x5ae5e8ac, 0xf11e8838, 0x8917005a,
+    0x94f62b22, 0x19b71582, 0xb6d63ea2, 0x25b8fc44, 0x04898912, 0xe6b18634, 0xc87656bf, 0x364d6ea0,
+    0x1cc30047, 0x84f7f434, 0x9bb2e335, 0x0aec3897, 0xe91a6e54, 0xc17236c5, 0xac19dcb5, 0xdf72a741,
+    0x68572b05, 0xb6c9a3d6, 0x0ada8530, 0x6058f41d, 0x4d34a394, 0x26ad8cbb, 0xcafc81b4, 0x307c4e03,
+    0x5fe7f97d, 0x78335ad1, 0xef182af8, 0x149ac00c, 0x69e4f11b, 0xba15461a, 0x65395178, 0x6117df2e,
+    0xe0d7f0eb, 0xbe550fbf, 0xed284874, 0x8cb2c073, 0x2203e473, 0xdc9a5784, 0x3bc35cdd, 0xb43c9b2b,
+    0x7d3fe9bc, 0x2db61462, 0xef964f33, 0x4f678328, 0x38aba72d, 0x6c3ea0ee, 0x64e87148, 0xd68e8485,
+    0x4cdce513, 0x47061164, 0x672a3811, 0x96a0badc, 0xbb6b35fa, 0x0f308289, 0x0adb5cf0, 0x251287f9,
+    0xdb7f1f85, 0x1b95e058, 0x8e9834b7, 0x416d4111, 0x023b0958, 0x12a4c5a7, 0xead05c41, 0x653bbfad,
+    0x1a5ab2b4, 0x42acd372, 0x9ddb5b15, 0x29a61c5a, 0x7f9dbb01, 0xc593fc13, 0xb2847b41, 0x0b1be02d,
+    0x880d37bf, 0xbd047e8c, 0xb00cf548, 0x2f947ac6, 0x03a08ec6, 0x431b025a, 0x02231f1d, 0x15d6f739,
+    0x5cf32ab4, 0xd2a8e7ab, 0x1723100e, 0xe1a7336b, 0x4f63c907, 0xe5cbdfb4, 0x89d5f0d9, 0x979953be,
+    0x3ec889b8, 0x706cb737, 0x1254fe26, 0x1866bc2f, 0xb56400b9, 0xf9cf0428, 0x8af82b62, 0x1d16c2a7,
+    0xdeba8ca1, 0x9fd62d05, 0x1062eed9, 0xe6aae2fb, 0x20e0e32e, 0x1f7efd09, 0xa035162f, 0xc86018be,
+    0x676bb57c, 0xf6b45957, 0x4cc3ee13, 0x1e324159, 0x10ce07b9, 0x9802dc64, 0x2f32894b, 0xb4567493,
+    0x6a9b55cd, 0xd02f2095, 0xf1d1dab6, 0x58cc9111, 0x94cc46d6, 0xb85d166e, 0x1066d655, 0x3bca96aa,
+    0xbf3ecdfe, 0x550d49b5, 0x39e13c99, 0x82fcb657, 0x27a034f6, 0xcc6e9115, 0x50a18014, 0x64827503,
+    0x1cc15c54, 0xa04eeaf4, 0x776bebb7, 0xa5980cbd, 0x2ce918a3, 0x3a386cef, 0xc272806c, 0x7999d452,
+    0x67e5b5ab, 0xf0041d09, 0x3cc6cd87, 0x963edfa6, 0x68130cf4, 0x8c81a751, 0xc509db41, 0xdcdcfc19,
+    0xa729d8e7, 0xcd3d2dd1, 0x28364cea, 0x8e7bec86, 0xd0c91e37, 0x8e3df34e, 0xa78f22c1, 0x84ff256a,
+    0xf1ea5a00, 0x1bba9e62, 0xca1e263d, 0x7bef008b, 0x553a38eb, 0x3602f1e8, 0xeec7c1cc, 0x18b850e2,
+    0xad54e622, 0x36b12ffb, 0x4c91619d, 0x3b176116, 0xab46d083, 0x72416c29, 0xbb30ae6c, 0xfb4ea663,
+    0xf289ae4c, 0xa898d13c, 0x53012bd8, 0x3ee9e81b, 0x2e80a2de, 0x67c67f40, 0x2ce46190, 0x61ca31a5,
+    0xa41aae0e, 0x596fa7bb, 0x9020df4f, 0xd87ee4a4, 0xdc4b21c7, 0x6879ca34, 0xfbfe215f, 0xd74eb1de,
+    0x1300326f, 0x66f30096, 0x88ee1bb0, 0x77ac958b, 0x15e48b1f, 0x908cd6b8, 0xbbfbe2f9, 0x2efbf5f9,
+    0x1ddc9ab1, 0x4a5af9a9, 0xce699770, 0x23689f15, 0xc5d5f7db, 0x3cb3e7c5, 0x3b1019e0, 0x8aa7dd92,
+    0x560ae2d7, 0x4bbbca62, 0x9a3ec99c, 0x5739c341, 0xb36c59e6, 0xfcd73dbc, 0xe224d8a8, 0x42f9f808,
+    0x7fdff327, 0x860bdb32, 0x44552a4d, 0x0443a69c, 0x7b0c3b1f, 0x803398f0, 0x20d6790a, 0xb8d43db2,
+    0x44da9345, 0xf1204fa7, 0x42447fcf, 0x6545d747, 0xdb498c03, 0x805db37b, 0xd96162cb, 0xdde52789,
+    0x4c02560b, 0xe969405e, 0x5b477aa6, 0x707430b6, 0x35140f90, 0x74c201d2, 0x335325fe, 0x29352499,
+    0x1b62b6bd, 0x804eca51, 0x082b6489, 0xb9788c3c, 0xf392a0bd, 0x258c9028, 0x9ced30cd, 0x4f50180d,
+    0x129af25f, 0x0d58f280, 0xe956a752, 0x931adbeb, 0x0dbdbc96, 0x3bcd2350, 0x66cb6249, 0x601aeeeb,
+    0xbbeffdc9, 0x23495615, 0xe1f4a65c, 0xcdd4e2e7, 0x6f84b47b, 0x10ab7bdc, 0xa6a98525, 0xd4c3d3ee,
+    0xd948c428, 0x4966e71b, 0xf94db809, 0xf527d210, 0xe4129036, 0x58890609, 0x0717a543, 0x31a04261,
+    0xde03ce09, 0xf5ab2889, 0x2c860d7d, 0x48e4c598, 0x2bb31801, 0xccdc6894, 0x43322cb4, 0x5076743a,
+    0xd8b5f027, 0x390358a9, 0x9047a503, 0x191fcb89, 0x36fea04c, 0x99c50866, 0xe6ef5ab9, 0xf921b0cb,
+    0x29e524cb, 0x5199093c, 0x13e9f16d, 0x3e6acc1b, 0xad537efa, 0x4dea272a, 0x607bb06b, 0x251858b0,
+    0xdab7e56b, 0xa7d6d825, 0xb72ca671, 0xdc560a5f, 0xb13d44c9, 0x29219f50, 0x9bcf2809, 0x98081770,
+    0x81fbda2c, 0x3370c914, 0xe6113378, 0xf8a3b240, 0x82604ee5, 0x0898b1c5, 0x655c2fa4, 0x45cb6d61,
+    0xb1c5024d, 0xafb2f6ee, 0x7f2391be, 0xbfd9999c, 0x179fa91a, 0x706fd79e, 0x0d103628, 0xd700faf2,
+    0x6265602a, 0x2308591f, 0x536d9afa, 0x27283f6a, 0x7a34566a, 0x8c5904fd, 0x6f79359a, 0xf2a5d1ee,
+    0x26e610ab, 0x4f9dd6c2, 0x217fbb67, 0x7f7c509d, 0xabaff252, 0x878705d0, 0x92033637, 0xd98fe55b,
+    0xb5864f04, 0x97c6af1f, 0xe5721b9b, 0x509b5b7a, 0x2ee1270f, 0xbb58d89c, 0x60b1b2da, 0xea4f5058,
+    0xbdcaaf88, 0x58619930, 0x1338b8c6, 0x4f6ec1cd, 0x0bba152a, 0xd64cb0c5, 0xfb0d57b1, 0x36707b47,
+    0x6843479c, 0x478b26e6, 0x75a0987c, 0xadd80cef, 0x2e4eacd0, 0x7f1b7b37, 0xe4e8fa97, 0x83c02c88,
+    0x644ba735, 0xf95f51df, 0xf3cc724d, 0x9e21da1c, 0x94324592, 0x35c58422, 0xf13853b6, 0xebd2d70e,
+    0xe06d63d5, 0x2ebaf303, 0x86026cda, 0x205e0879, 0xd73eb3fd, 0xa8f825f7, 0xbe583b75, 0xd0919adf,
+    0x544de462, 0xf2095a31, 0x5339226f, 0xc7d80d02, 0x1eda031e, 0x8efa7088, 0xf7316e19, 0xea7d60c6,
+    0xda2d954b, 0xc001d22c, 0x933187c0, 0x003033e3, 0xe09e43b8, 0x7252ccf1, 0x2eee98ff, 0xf986f9e2,
+    0x92414a2a, 0xecc07947, 0x31323fcb, 0x66ef3ac4, 0x3de3f64a, 0xf01e70a3, 0x21cc4d16, 0x6f1128b4,
+    0x7667ec29, 0xb8690651, 0x379d9602, 0x8cdc25c6, 0x66d6d681, 0xcdc66c84, 0x12fef944, 0x01157edb,
+    0x0330ae7a, 0x8a78fa14, 0xc2326000, 0x90588d8b, 0x488e8ef6, 0x1bd4ebd6, 0xe77c38f3, 0x6e947644,
+    0x60e5e5a4, 0x77f82695, 0x9337ddb3, 0xfd758165, 0x71064042, 0xceccc8bb, 0xf632dedf, 0x96619422,
+    0x76b664b2, 0xfdd50d86, 0xda53cb2f, 0x1883b25a, 0x0cb12f51, 0x3ceb1758, 0xe0a1c31e, 0x23e06c43,
+    0x3d503b5b, 0xdb5082b4, 0x99a24664, 0x42ee0ae8, 0xd783fd39, 0x46222701, 0x6275a668, 0x4b32f941,
+    0xd56f7b9e, 0xd0b28516, 0x982cda3f, 0xc6ddbd01, 0x04b3c0e4, 0xa6bf6101, 0xc8b161ff, 0x0d16751d,
+    0x160dd36d, 0x485e5ee8, 0xeb381f2b, 0xf7e3a30a, 0x37277a4e, 0x19812e5a, 0xeb4f9562, 0xb11b8fb3,
+    0xe8d1b9ed, 0xcf41f8dc, 0x40c94616, 0x81e9f89b, 0x760286b8, 0xf8b21179, 0x47bf949a, 0x8644eaed,
+    0xad4d4bc6, 0x0bb041c1, 0x07ddcb91, 0x599e9ef3, 0x796d6e34, 0xf9fe8100, 0x7143b2d9, 0x9094d923,
+    0x2eedac54, 0xbf560a3c, 0xd5b6f253, 0xe8c26315, 0xe987d8fc, 0x2e3cc32b, 0xcdf69977, 0xc6fc8ad6,
+    0x1e97398f, 0x4606def7, 0x2bdc6415, 0x226583c4, 0x7d0e0b40, 0x3cee6f26, 0x5429620b, 0xfc1c22d4,
+    0xc1800640, 0xb488733d, 0xa705d0c1, 0x498414ac, 0x0786374a, 0x9efe82bb, 0x80ab3896, 0xd7bcbf78,
+    0x6dea85c9, 0x788f4170, 0x0a5b5178, 0xb130a46f, 0x67016b5e, 0xcbfc645c, 0x6728e5cf, 0x96464c72,
+    0x48ad25fe, 0xfbb2f980, 0xab624695, 0x0fb55ef7, 0x4d2248d1, 0xf6b406eb, 0x9ffb684b, 0x4f0c9aad,
+    0x348b47a0, 0xf0f22bee, 0xa8ae2d79, 0xa8619efc, 0x37ba3535, 0x59f78807, 0x747c2513, 0x73d4e2c0,
+    0x81872144, 0x785153f2, 0xaa673a4f, 0xb80da30f, 0xd46d119d, 0x35e9c8e8, 0x8f417efc, 0x81377c30,
+    0x87bdf8dd, 0xa9547faf, 0xc11314ba, 0x5faf3db2, 0xb56d756f, 0x7c732c78, 0xd7aef2dd, 0xf57d99a1,
+    0xb70d1fce, 0x3d789da8, 0xc254b37a, 0xec251226, 0x5576da4b, 0x02c19017, 0xe252d57e, 0xfa9e8259,
+    0xd588f9bc, 0x4d75dcf7, 0x8ca57307, 0x54a6dc2e, 0x56889299, 0x48b0c699, 0x0cc35afb, 0xb2a1e0ea,
+    0x9f74d918, 0xa7d2258a, 0x5670af5a, 0x3570b9fb, 0xa88e81f4, 0xc630b2bf, 0xb2f0b20b, 0x8edc71e2,
+    0x713befe8, 0x643f30c7, 0x57f10ebd, 0xc1c3b374, 0xf6c6f6b3, 0xc363f3f4, 0xe5cf922b, 0xdaaf1c39,
+    0x0cd6c3ac, 0x02baac1a, 0x1d92b472, 0x078646c5, 0xa5f93e3d, 0x333832f1, 0x73bb221d, 0x07ec107a,
+    0xc7d7825e, 0xb2447e5d, 0xd325dabb, 0x0fc5fc8c, 0x4775e233, 0x70122ab6, 0xd17143cf, 0x88899b3a,
+    0x30931c29, 0x4845210a, 0x0a166097, 0xde263f22, 0x5fa8c53a, 0x3fe141f7, 0xf9079b55, 0x592ce9dc,
+    0x062ec3a6, 0x4b481ca1, 0x1a443957, 0x4662cfd3, 0x63f8b202, 0x58616ccb, 0x337fba72, 0xe8c3d816,
+    0x4ba12a4c, 0x18dd4112, 0xf298ce0d, 0xd31ce31c, 0x7c18c2c7, 0xd96b6d16, 0x7f062e63, 0x3dbe6240,
+    0x5a736ba5, 0x565a70e1, 0x318128b7, 0xa9f16baf, 0x3de161ec, 0x36038725, 0x30071397, 0x59b317f9,
+    0x6a50c4ea, 0x18a6e95b, 0x470c2b6b, 0xf60f0bbc, 0xa99f1291, 0x7eff1e39, 0xdd66bec0, 0x5853eab8,
+    0xfbad0918, 0x68ee3dc4, 0x8d0bbf8a, 0xa7344eb2, 0xeec4786d, 0x5286c9af, 0x77a8c60e, 0x1117b287,
+    0xa315484e, 0xd1d91fdf, 0x8bb56e3c, 0x67971574, 0x0929fe09, 0x7944c4f7, 0xcebb62fd, 0xd617630d,
+    0xe2fe0cc8, 0x09d6aea0, 0x4cff7d23, 0x05576e19, 0x279d565c, 0x1961abc6, 0xcaca1a92, 0xef635941,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000256 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffe55,
+    0x00000000,
+    0xddd0467c, 0x64bce4a0, 0xac7cb3f6, 0xd05ddbde, 0xe26ca606, 0x3461fffa, 0x4ed775fc, 0x49f27952,
+    0xf2f3a45f, 0x9009f3c9, 0xee49e1c1, 0x2e611caa, 0x30eacfef, 0xed54ddeb, 0x484db2c7, 0x91d9d77a,
+    0x0390e18d, 0xd2e30f0b, 0xb55b1c64, 0x5bbecab3, 0xaa32e712, 0xa86433de, 0xe64e338f, 0xbe3efb85,
+    0x85d9fa49, 0x60032f3c, 0x708b8369, 0x9616e5b1, 0xdb2b58db, 0x235bd2f3, 0x7d02db2a, 0xed3f01a6,
+    0x89f89fad, 0xc7754a70, 0xc8c3e741, 0x52c174df, 0xf0221550, 0x7e35a976, 0xb922e058, 0xa274f1a3,
+    0xa5dcf894, 0x6a55164a, 0xc316efb6, 0x2fa803db, 0xd4562b1b, 0x23c8c1f1, 0x0bebb9bd, 0x8206c45d,
+    0xf707e02c, 0xd7cb1eef, 0x6729e608, 0xd785ff22, 0x829a2b3c, 0xb130f67f, 0x976a1e74, 0x7d5cae66,
+    0xc45fcb60, 0x3dfbf68e, 0xfe24de59, 0xd0bf24b4, 0xa649f304, 0x810846ed, 0x5a42bf7e, 0xa2572730,
+    0x2549bdc5, 0xddfb9015, 0x0af2f5f8, 0xb4010d3b, 0xd712b55b, 0x214e990c, 0x23e99133, 0xe20b4184,
+    0x2f2ba08a, 0x9cd08e26, 0x6889b769, 0x86e37bb3, 0x03b35cc8, 0xaded7c9e, 0x86f1c0e9, 0x577913a4,
+    0x4cd512cb, 0x2ec84129, 0x583aa5fd, 0x5da714e4, 0x143c47ce, 0xf1840744, 0xfc75d0ac, 0xd40eb15b,
+    0xf1a1b529, 0x5d91083c, 0x687c8860, 0xa6fe71ce, 0x6925f1db, 0x6a9194ea, 0x33b14742, 0x8b8139a9,
+    0x5068e004, 0x740fb938, 0xb68897a0, 0xb61fcc06, 0x8360cf4d, 0x56c93962, 0x58f8cb28, 0x41e16350,
+    0xe1dfe936, 0xb0281cff, 0x7b433de1, 0xe02e777f, 0x5a453e00, 0xe12d3774, 0xaf817625, 0x0845b744,
+    0xeb796156, 0x2c1d2a9a, 0xe94a297b, 0xa3c57342, 0x8704209a, 0xe64eb81b, 0xa3894aa0, 0xb931591f,
+    0x4842f92a, 0xa0e6154e, 0x6ba2af5e, 0x4a1c8948, 0x8d2ea1f4, 0x3729e004, 0x83451a55, 0x84d4189a,
+    0x996cad75, 0x4fefe5cf, 0x44335891, 0xa8562fd2, 0x214dd341, 0x0f983467, 0x569eb845, 0x551c6e15,
+    0x1fde0654, 0x72c7af1e, 0x656323ea, 0x10d036a8, 0x9899db18, 0x7468ce51, 0x3857d7a3, 0xf781a5df,
+    0xdb6ce159, 0xc7f41496, 0x067abe25, 0x0de68e95, 0xa7e91fe0, 0x95fb0aa7, 0x20721b08, 0x041db49a,
+    0xe97c9560, 0x49f347c3, 0x1f67a680, 0xf9c75fe3, 0xcfbadb2e, 0x6f6ebd45, 0x03df47fa, 0x315205f7,
+    0x605e360a, 0xed3de400, 0x3f918144, 0xaa932fb6, 0x3f4980b4, 0xf43f1772, 0x5c8fff1e, 0x548df731,
+    0x8a961d83, 0x0ee60893, 0xceef7058, 0x8986de00, 0x855574a8, 0xc7d76d84, 0x2fbe4be5, 0x2f1677f7,
+    0x7984ae26, 0xb57e3cc4, 0xc9f679f7, 0x1f4740f8, 0x3ee26c44, 0xc2da001f, 0x7ed09988, 0xd1775ba2,
+    0xac8760f8, 0xbc198cd2, 0x18889914, 0x6eb69ff2, 0x82792e5d, 0x2cb77bd4, 0xc7187d6d, 0xe99c1337,
+    0x7d03772c, 0x02563eed, 0x69ede583, 0x8916910d, 0x95601403, 0xf8b119d9, 0xbb022526, 0x2f959672,
+    0x5fe8a31e, 0x7b527e8c, 0x02834b91, 0x74b5e95c, 0x6911ca50, 0x89406956, 0x7edb2ba5, 0xc9900380,
+    0x6d71ddbe, 0x3e48490d, 0x524962ec, 0x58dc7a14, 0x9f1e5ecc, 0x5556e07f, 0x3966e2c6, 0x40850ef4,
+    0x19a3b2dc, 0x343272ea, 0xbe0dd697, 0x33d9972f, 0x8e038e53, 0x0b4f8535, 0x98f37275, 0x8b6247cf,
+    0x475ed067, 0x0ac742d0, 0x7db02725, 0xff5d0cd6, 0x096429b5, 0x27bc7e09, 0x3c046638, 0xf4225f91,
+    0x17c8981f, 0x4c04c5c2, 0xb4ecb2aa, 0xe0192d06, 0xc9e75487, 0x0f34ca01, 0x7204196d, 0xd11ae81a,
+    0x12a45767, 0x994eeb4c, 0xbfceb1cb, 0x0fb443ce, 0x90a74e9c, 0x242d31a1, 0xfa30a890, 0xfbcfd1a8,
+    0xeeea73c0, 0x2f1c4df1, 0x62e06ccc, 0xb146faf7, 0x195562f6, 0xf9216a8c, 0xc6bc1b58, 0x5ece2ca4,
+    0x9cace564, 0xdb809e1c, 0x129e9b24, 0xeb5ffb04, 0x3b4db127, 0xd8e6f58d, 0x64051d8d, 0xf5835e2b,
+    0x7c73f919, 0x5c0bd77e, 0x2cf7a3ae, 0xee064621, 0x50c78483, 0x9c75c856, 0x95b4bd1e, 0x977add78,
+    0xd0a67a2a, 0x230892c4, 0xab12c6ec, 0xdcdf9ee5, 0x859f88e6, 0x1dca526f, 0x87fc7040, 0x98a57262,
+    0xe0ea00d4, 0xa4da0a19, 0xa697b8fa, 0xdc184a18, 0x1d401d37, 0xc051b13c, 0x9319a82c, 0x2fb8a628,
+    0x58d693da, 0x2c958ea3, 0x024c8d72, 0x466e147c, 0x9a16a864, 0x81155c85, 0x50a22980, 0xefdcc35b,
+    0xab0a4a7f, 0x43638f61, 0x742e653a, 0xb3270984, 0x51d7f5b1, 0xc2ee555c, 0x50022f65, 0xfeea7863,
+    0x232a2490, 0xfefbaa22, 0x85bf694e, 0x99f84917, 0x213cbc0b, 0x1c1e3c84, 0xb91afd75, 0x2a33e809,
+    0x00277d16, 0xc42b593b, 0xbfe374fe, 0xa8129f72, 0x3bddca3d, 0xbbd58211, 0x2bdff673, 0x87b12e17,
+    0x45b3f220, 0xe512e054, 0x42a7906d, 0x9296f6a4, 0x63f999ae, 0x9684aaa3, 0x26fe7f19, 0x366916ec,
+    0x11b59db6, 0x038ee30d, 0x4074b138, 0x65cafa1a, 0xe871ae0f, 0xe2877c7b, 0x7ffc82b7, 0xcd621bd6,
+    0xbc7b47ec, 0x66feaf95, 0x84d6da97, 0x2e050f46, 0x7377039e, 0xf63ab374, 0xa821b6a2, 0xc4139bba,
+    0x243a6d6e, 0x1dfa34e9, 0x3b157737, 0xd8a0ef84, 0x948507e4, 0x4a832822, 0x073e3f53, 0x8ffcfea6,
+    0xaa2793c5, 0x7be0c207, 0x94b35b24, 0xdd8146ea, 0xf1e20103, 0x00e8ee23, 0x2ee691e7, 0x69a0234f,
+    0x79da8c44, 0x6b5eaf21, 0xeffd9c4a, 0x6be449d5, 0xf7971906, 0x521ee14d, 0x9dcc60e9, 0x5f7fedd8,
+    0x382a2720, 0x6dbbadca, 0x70bf929a, 0x65281274, 0x75ea93de, 0xa24b954b, 0x158b7873, 0xf27f5d15,
+    0x43aee2e3, 0xa833d2f4, 0x08b48cc3, 0x97649c8d, 0xccb4df29, 0xa75276d3, 0x86205ac0, 0xe9e89383,
+    0xa8894f92, 0x65574b8c, 0x79580af4, 0x4f0be97f, 0x45f92ff6, 0x630c0709, 0xa5b02a17, 0x405e9f70,
+    0x4cd84eb4, 0x954c61f2, 0x6f64bdba, 0xba3a9155, 0xc8f98ece, 0x82a03ae4, 0x7da54293, 0x7eb643da,
+    0xe394414e, 0xfc1cacef, 0xf395ac29, 0x7d08ae2b, 0x2c4b1b72, 0xd69c7754, 0x17bd83ed, 0x9112d802,
+    0x94e51fd5, 0x9557b5d8, 0x0d468331, 0xab7b7a73, 0x6d82c681, 0xc086f7ab, 0x48404b6b, 0xefa0d8d1,
+    0x8f50566a, 0x314038e7, 0xb4f93583, 0xc03485a8, 0x87939dc6, 0x70f3318c, 0xb487b6db, 0x11a8f5fd,
+    0xa0cec064, 0x43c199d2, 0xa93eed81, 0xa5800196, 0x39ff2a50, 0x82062f68, 0x69a7f683, 0x4341e5fa,
+    0xa3fca30f, 0xc288b3b5, 0x0b9e1831, 0x7aa8bbc4, 0xbd8f7800, 0x1c0a008a, 0xd06829d1, 0x23c32985,
+    0xb703ddc4, 0xd6f35d02, 0x956fedfb, 0x877d5de8, 0x7a6d2830, 0x7cb35b0a, 0x93d325ec, 0x60d306d8,
+    0xe8db2b3d, 0xd3dc6198, 0x281ee6ce, 0x145e878e, 0x66783fab, 0xd79c690a, 0x4b865895, 0xc8e0e618,
+    0x67bcbf4b, 0x1dec252f, 0x7107ed71, 0x02530b55, 0xc07d4000, 0xd7994f84, 0x7150c4a6, 0xac8f25e7,
+    0xb61dd741, 0xdce3f688, 0x41a6f4d0, 0xbcce7882, 0x5457f125, 0x05fb1e16, 0xe51e24c0, 0xcf8890a9,
+    0xa40a501e, 0x6e2e0f4d, 0xa161a28a, 0xfde7a7f1, 0x1edda3a5, 0x5ba727a7, 0xcb468547, 0x659c5eb7,
+    0x8e449b17, 0x95997a7c, 0xb38ab12d, 0xf9f0829e, 0x57e9d276, 0x9fba1fcd, 0x5d257806, 0xe459b82a,
+    0xffa0c216, 0x7402c9fb, 0x91c23ebd, 0x89f9b659, 0x0e9570b7, 0x7f445a3c, 0xbd46d44d, 0x1350ac3b,
+    0x69dbc18d, 0x7e6660a4, 0xbd6ffc66, 0x82761777, 0x2e7708f8, 0xf7529dca, 0x0b160c59, 0x3df7626d,
+    0x0397dddc, 0x0ecee4a0, 0x0e771d2f, 0x2ac3c210, 0xff774379, 0x86b3d3e4, 0xc3aaac8a, 0xd192cb71,
+    0x2feb825d, 0xdd9e2b80, 0xe17c2568, 0x034fdeab, 0x10a26265, 0xba4e587e, 0x01bd7a3e, 0x19202ab5,
+    0xeae591f8, 0xa9392ee4, 0x2e2ff5c8, 0xebba26f8, 0x5a3af7c1, 0x0255211e, 0x7f5b622e, 0x3a743dbd,
+    0x91271fa6, 0xab512e83, 0x8a3b5969, 0x3c8640f4, 0xca89485b, 0xa118c9a8, 0x595ec01e, 0xc36e229a,
+    0xc01c4ef5, 0xf99b51a9, 0xfb35b13e, 0x667e4289, 0x097e2e4a, 0x6192d729, 0xd7f939fd, 0x02b68194,
+    0xfb2c7c11, 0x9158a28a, 0xfb690b14, 0xf4f5d83c, 0xb495cf9c, 0x4fde10f7, 0x42ba956a, 0x9de7759b,
+    0xe3821a89, 0x8a78fa5f, 0x2ba81134, 0x38606999, 0x9cfbf62a, 0xb099bdd3, 0x9cffed83, 0xd7eeefa0,
+    0x90353cbf, 0x3bc55f0a, 0x1d8940ba, 0x998587fe, 0xab27c61a, 0x75946e88, 0x69d84ff8, 0x145e5e48,
+    0x34f1dd93, 0xe1450593, 0x555a0751, 0x5da2f42e, 0xebef6607, 0xd492155f, 0xaf2f9c44, 0x7babc2f5,
+    0x80c3444c, 0xd37f1756, 0xbca6161d, 0x92623e1c, 0x636a31a3, 0x260166c6, 0xbe0f3037, 0xaabd80b8,
+    0x22afbc3c, 0xaa94e7c1, 0xaa6440f3, 0xa80692f4, 0x430d0e78, 0xe0e37a02, 0x91e73a84, 0xd1948793,
+    0xb615c3bd, 0x752631c1, 0x1227609c, 0xd1214c4d, 0x66fe85de, 0xd72bfb75, 0x522395f3, 0x9bd3e509,
+    0xf2972497, 0xde397ad1, 0xab049535, 0xad67f3d1, 0x8e22961e, 0x78da08a0, 0x20f67a69, 0x19225ba8,
+    0x4f248cfc, 0x8acbaf15, 0xb669a31a, 0xbcf8aa9f, 0x21c01134, 0xf2d030dc, 0x7a20a300, 0x68ab632d,
+    0x1a9d5125, 0x27f46fc9, 0x6ee162b7, 0x6cc283b2, 0xaa5a5a74, 0x8d12cd83, 0x5e219ef0, 0xa298c714,
+    0x1d749bc8, 0x1fc76ba7, 0xdf48aa08, 0x1c4ae341, 0x47197d19, 0xe31b4f07, 0x75c7d4b0, 0xbb1bbf08,
+    0xc82e2ca1, 0xb0fcfc9d, 0xa5d0f343, 0xd4394ae6, 0x10c256f8, 0x88a5ad16, 0x3863a4bd, 0x9fa63ec5,
+    0xd21579d9, 0xfbdd3b29, 0x6c51b204, 0x18dde461, 0x62445727, 0xee5d9e6b, 0xc681d887, 0x7e32308e,
+    0xa5b64ef2, 0xb845f9fc, 0x2827d932, 0x92318e12, 0xb4acf280, 0x8cef6996, 0x2ed9fd3b, 0x96c5571f,
+    0xde4a323b, 0x9dd0b2bc, 0xbb3caff4, 0xa0c31225, 0xd8a4c62e, 0xcfb05b14, 0x8f34f929, 0xf9ce04f9,
+    0x6c1de104, 0xfdf5ba90, 0x57f0bc15, 0xfebe9f41, 0xb991e418, 0x3bf2d211, 0xafd4350f, 0x50e0deb8,
+    0x6cbb8e76, 0x5139cd57, 0x4f9b0e55, 0x8608dd5b, 0xd8561ae7, 0x2e130d4c, 0xb92201ba, 0xf7dee1e4,
+    0x02034911, 0x02cc1b74, 0x572b3a6b, 0xbb7d1c21, 0x07a32aff, 0x1a43a2b0, 0x83c65198, 0x3e0bbdcf,
+    0xfd4e5203, 0xc7bdecb7, 0xc24c2f86, 0x691d5e1a, 0xf7fd6b33, 0x675dc594, 0xd4d7d37e, 0x34c5e12c,
+    0x1024cff3, 0x4f4a8ecf, 0x97848d0b, 0xac989e3f, 0xe0b0174a, 0x0267c7c9, 0xc38cf3b8, 0x283da7a6,
+    0x8019f226, 0xcfd3ca56, 0x27ef6a39, 0x797eda78, 0xb24a1429, 0xb0918b39, 0xfc169b86, 0xf457ae8f,
+    0x07d720f9, 0x1de1ebc4, 0x830d4f77, 0x286f9124, 0xefcfda1c, 0xe49d5453, 0xb23b442e, 0x520b6ed8,
+    0x47b9bae5, 0xfae0f91d, 0x3073fa1f, 0x304f88eb, 0x41763958, 0x70413edf, 0xfbefe513, 0xf4dd02e1,
+    0x23cac160, 0x66fba5df, 0x643e3266, 0x45abec8c, 0x50bef641, 0x07024211, 0x9e0647a7, 0x24866aee,
+    0x491d3c26, 0x516be395, 0x979deddf, 0x1318f0f3, 0x0ed39e5b, 0xead246bc, 0x069c44bf, 0x7721f22f,
+    0xb241e0b7, 0xb144455e, 0x83371551, 0x2ef1de41, 0x851145d7, 0x2f57655a, 0x22e31273, 0x06c8d2c1,
+    0x93f56223, 0x4bd86c45, 0x7543a426, 0x0d16a45b, 0xb233b9da, 0x1fb6debc, 0x598de793, 0x8a2ae955,
+    0x806aefda, 0x700835a6, 0xfc4f31df, 0x1085d6bd, 0xb620fff0, 0x6581daff, 0x5e0fd065, 0xc1c6945c,
+    0x18d32690, 0x8b0cc3ed, 0x19c26650, 0x9b8691e1, 0x1623063b, 0x0b215b45, 0x1d395efe, 0x84526cc5,
+    0xa50982da, 0x3aaf7bf0, 0x4b8f9f56, 0x19571ced, 0xc9295efd, 0x8204101c, 0x3e813b47, 0x0c37b1a0,
+    0xd3668af1, 0xc867f645, 0x5cb226e6, 0xa62d0559, 0x533f189d, 0xe65661e3, 0x30811409, 0xc3e3d4b5,
+    0x2bb4e978, 0x84090e4c, 0xe67a5059, 0x7f455bc1, 0x1703c700, 0x728ae356, 0x88ab9c7f, 0xb9fab365,
+    0x3b2dfa2b, 0x186c6830, 0xbefe8c79, 0x5b4b7ed1, 0x63635a96, 0x6b1a21bc, 0x4177347a, 0x169d6735,
+    0xf31a232a, 0x047714eb, 0x19251328, 0x61bacf77, 0xe7c0cd38, 0x2ac96eb1, 0x5f5ec197, 0xb316312b,
+    0x2d64a52f, 0x1ded0ddc, 0x5895d904, 0x281722ab, 0xdcdde6b7, 0xb2cab854, 0x96256c5c, 0xe630041c,
+    0x7a591817, 0xd5f2d898, 0x087b3f10, 0x0b5a3cc3, 0xa29b27a6, 0x4be319f2, 0x2e8cedc4, 0x9b1de032,
+    0x020307af, 0xa009693d, 0x96fbcf91, 0x96fa3ab0, 0x1f153139, 0x92e424a4, 0x4774e65e, 0xa586c9ec,
+    0x9d408611, 0xe3206fb3, 0x79799b86, 0x463ce90e, 0x9eb66147, 0x5edc4e42, 0xd5f64a91, 0x967fffd0,
+    0x2d1b5a0d, 0xd7c5cdc1, 0xd447cda3, 0xed76d652, 0x5aecd449, 0x1586ad45, 0x7a6a6486, 0x0a70464c,
+    0x6a244bee, 0x7e47f96f, 0x02edba84, 0x4e99cb5f, 0xa398b353, 0x4cad6214, 0x655bdb89, 0x249ae836,
+    0xc796ecf5, 0xf2c38224, 0xff1f2c2f, 0xdb027edf, 0x6cd78dd3, 0xde4ee478, 0x93687804, 0x2ed2ddf6,
+    0xf490005b, 0x9b009db7, 0x82ae3e03, 0x5789468b, 0x5ca54d01, 0xb54b7a25, 0x8a7436e1, 0xde584db5,
+    0x9f5e7472, 0xc33bf1f5, 0xb4eb8923, 0x0f785051, 0xd97c99eb, 0x7e5c5399, 0x366bf270, 0x09c1599d,
+    0xcd236736, 0xf22fc0c5, 0x21bfec2f, 0x7eb5e914, 0x8770350a, 0x7a78419c, 0xc39b1ff8, 0xa32fdc78,
+    0xdab9cae3, 0x080525b8, 0xd625d0cc, 0x107f72c1, 0x46502ca5, 0x3149c4ed, 0x1388868b, 0x99763fdb,
+    0xf20ecc6b, 0xedb44df0, 0xfdc41a5d, 0x45cbb7e6, 0x5f029bbf, 0xbc29c18e, 0xbd0ce23e, 0x55f93956,
+    0x7719f1ae, 0x42160789, 0x415401a2, 0xd861acb1, 0xc56c5be3, 0xc1af61cc, 0xe5fc3db0, 0x35a0e127,
+    0xa69e1326, 0x39f99180, 0x93ceb2c5, 0x6c0ba5f7, 0xa1ea4ecf, 0xabb6509a, 0x3682b937, 0x4a86cc77,
+    0x916c62f9, 0xe147ee11, 0x8c90e43e, 0xa4855443, 0x8964b0d4, 0xb4bd11e0, 0x5df25fdb, 0x18bb627a,
+    0x1e98a800, 0x99208b93, 0x32dd9c07, 0xf97cdda2, 0x510b31c0, 0x68807af9, 0xaa4c863d, 0xe13d8d9c,
+    0xe1d99e8a, 0x28eac113, 0x109a72e3, 0x68c4cf18, 0xb44d8879, 0x07991a37, 0xb977a484, 0x73ab0cfa,
+    0x2007a2cf, 0x38061bf7, 0x8c668dc5, 0xe6873b87, 0x6ceeedf3, 0xaed24d5f, 0xc28646ab, 0xd5fd284c,
+    0xbb9dc650, 0x8d36a2b8, 0xdad48517, 0xb2faef3d, 0xf61999a1, 0x3b4c5568, 0xb12b8014, 0xf6a09284,
+    0xf24bdea5, 0xbb10cc51, 0x4fb85640, 0x3c8765d3, 0xd0e95ce8, 0x87639c11, 0x29baf07b, 0x356daf96,
+    0x191c4a79, 0xa448140f, 0xd0f82eab, 0xb1bdc8c2, 0x4e71c051, 0x92103f71, 0xbcfa16f3, 0x544c8879,
+    0xbe1f697f, 0x2343a3e5, 0x33ebdc53, 0x4765dd8a, 0x6d5e0eb7, 0xd507f32e, 0x3e05d758, 0xb0e1187b,
+    0xc252c43e, 0x703f146d, 0xd9509c47, 0xbc78c08f, 0xfa7aee8e, 0x62baed75, 0x545ad1c6, 0x7e41fee5,
+    0xb6d3af78, 0x1b8ad832, 0xf1049b1b, 0xae2f2395, 0x9997f1aa, 0x93c83777, 0x650d596c, 0xd65ba519,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000128 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff2a,
+    0x00000000,
+    0xa87fea27, 0xa539e9a5, 0x3f2398d7, 0x47b36224, 0x2a1fee40, 0xd90aab31, 0x0e128b5d, 0x938cfb3f,
+    0x6f203147, 0x025d1129, 0xe4926e2d, 0x6669a035, 0xeeb11bea, 0xf4823361, 0x20a045fe, 0xa510b02a,
+    0x952506ec, 0x10215c1f, 0x0e64ecdd, 0xac3e5db4, 0xed90e0ac, 0x3c51e6c5, 0x34f056f1, 0x19b7ccc7,
+    0x1c70a650, 0x502b9457, 0x946a014c, 0xf189ba82, 0x6dd4f170, 0x64d3326d, 0x56a80bfc, 0x3c91c562,
+    0xff5db50e, 0xb8834912, 0x448a7db9, 0xcb92b3f3, 0x5596b426, 0xdf967c27, 0xe5d11252, 0x0a832f06,
+    0x9d5de9f2, 0x62e39de7, 0x42852e42, 0x50c318fd, 0x3235a82f, 0xc6ebef17, 0x36f6ace0, 0x2373e10f,
+    0x38e8a42a, 0xab3499db, 0x92cf4c02, 0xf73a2808, 0x4b7770c2, 0x335da88c, 0xae13b4e4, 0xcd5d64ae,
+    0x43b26c0a, 0x8dfbbca3, 0x7f2f4934, 0x4e4dcf02, 0xb3ae156e, 0xfa10b7e7, 0xa519adf3, 0x6aceafe7,
+    0xd0b4865f, 0xfd066300, 0x00fa0f4a, 0x94da9e93, 0xed05b5eb, 0x2de3f167, 0x3fe136b1, 0x22e608f7,
+    0x7bb88bca, 0x316b117d, 0xfac76395, 0x3b715a22, 0x560df0d7, 0x129e06c8, 0x65a8bd4d, 0x3524e0e0,
+    0x28cd4078, 0xee349f44, 0x79eb75fd, 0xe292fe10, 0x57df146a, 0x20f94401, 0x800e0bce, 0x37d331dc,
+    0xf2cbca4f, 0x4141fb7f, 0xf211c433, 0x5d399c20, 0xd3371499, 0xf1ea8871, 0xd5733e27, 0xb12e1e7b,
+    0x740c8a69, 0xb61e7c1d, 0x64ed6158, 0x87927937, 0xad68dd94, 0x4b3d7d0b, 0x612045af, 0x6b660da8,
+    0x2dbd9317, 0x0520c557, 0xd1d23fc1, 0xce0a6928, 0xa641cacc, 0xdc667e01, 0xb63bb2ef, 0x438dc608,
+    0x793d33c2, 0xd0261fac, 0xe220da17, 0xf181b8bc, 0x0ce052fa, 0x0b6e4e59, 0x0678a27e, 0x3340f20f,
+    0xd4c3066f, 0xc9ef900b, 0x9c05efaf, 0x54813d82, 0x9f56f292, 0x738dce0f, 0x333d3ada, 0x856fb0e8,
+    0x0f414231, 0x85832ed5, 0xa89e6415, 0xb6a92f57, 0x08901c06, 0x45d2ce8d, 0x3d7c61a7, 0xab7d1e39,
+    0xa6fc388b, 0x7c187548, 0xe2ad5ac9, 0x7fcf53b0, 0xe4373062, 0x0aeeac7e, 0x39a7e7e0, 0xf7a65b6e,
+    0xf29016f1, 0xca71cb12, 0x73c78ee8, 0xd35ffe3d, 0x20548084, 0xb5ea187b, 0xf3effcfd, 0xf3c96e0a,
+    0x3b0bf83c, 0xcc3fd4e0, 0x50f9ddaa, 0x9b70f06e, 0x8470f4a7, 0x07444d4f, 0xef81bf57, 0xb9a9724b,
+    0x3de38f55, 0x08c31604, 0x913270b8, 0x3303278d, 0xb1454cb6, 0x0f4c78c9, 0x5b65edc9, 0xdd8e2473,
+    0xfd4d55d7, 0xcce7c00a, 0x17ec601b, 0x83357075, 0x6b03c4f1, 0x6e5a3cf2, 0x2f1d68b4, 0xc8f428d9,
+    0x201e5d5b, 0xee010aa1, 0x2e93cb97, 0x067a8482, 0x8f9c6a82, 0xd94ad533, 0x576fc1e5, 0x7e3e00e1,
+    0x0d0d2d24, 0xac6b7837, 0x1816b0fc, 0xc4fd0462, 0x84a75882, 0xc5fc6bae, 0x9bf0e40a, 0x050e96a7,
+    0x62f262b4, 0x77b570c6, 0x7a5ce2a0, 0xc485f15f, 0xb6d35d8c, 0x50479e0d, 0xd305afad, 0x2cddbeee,
+    0x530490dd, 0x7aed1a72, 0x8f8622d1, 0x9feeb4f1, 0xc9497465, 0xa19ed882, 0xf795190e, 0x9a3d95b8,
+    0xbc87bb2a, 0xd6f2d4c8, 0xafdc74e6, 0x782f2001, 0x0abe1a22, 0xe8edc2ac, 0x9d1a4c37, 0x89f5609e,
+    0x942003d7, 0xa5acd8a8, 0xa994172d, 0x1323ef20, 0xcfbd1f0e, 0xd1a5d065, 0xc9fa860d, 0xbbc13c62,
+    0x3cf9938d, 0xeb63e06b, 0xf056b6e6, 0x326bfa00, 0xa958d623, 0xa9b3aae1, 0x38b274a1, 0x94f234b2,
+    0x64f3351f, 0x779da996, 0x5681d91f, 0xe584438c, 0xd941e79d, 0x4f104b19, 0xb26a1e93, 0xadbc5e50,
+    0xfc068db9, 0xf087ef9b, 0xac6a15fb, 0x120dd503, 0x69239f84, 0x7033e2e2, 0x83e6697d, 0x8c3c8991,
+    0xac243c5a, 0xd8eba066, 0xcd821cee, 0x5f5448d9, 0x5bcafe6f, 0x50d1de76, 0x10ed526d, 0x978bdbd2,
+    0xa62a3952, 0x73a9734f, 0x4eec6208, 0xa0a66203, 0x62037a44, 0x97fa2353, 0xb31586b0, 0x014f1a06,
+    0x5c5a2d36, 0x2224c9d4, 0x433c50c7, 0x84847351, 0xcfa29e5f, 0x80e33c64, 0xe3931f81, 0x6de5f3a0,
+    0xedc507c3, 0x159d96b1, 0x7d97c0e5, 0xf7d41696, 0x05db3684, 0xaf9b8ec4, 0xa05f1e47, 0x68ff6bfd,
+    0x3b642cfe, 0xd3b03da4, 0xf8e380c1, 0x9151dd89, 0x78822949, 0x7da002f3, 0x39c35950, 0xf0108752,
+    0x7e2ea4b9, 0xb0ceeb90, 0x9165f789, 0xc59ddb6a, 0xdd743c5d, 0x8ba80fd4, 0x9d1dfe5e, 0xd8de4d00,
+    0xad14efbf, 0x228ebf31, 0xbd89311f, 0x17a68928, 0xd9192437, 0x9b2e4827, 0xd056a2b2, 0xa743f7bb,
+    0xa825b692, 0x3431d51d, 0x1acf89d8, 0x038dd438, 0xdea92cd7, 0x0ca75639, 0xdc14761c, 0xafbb950f,
+    0xc62cb19c, 0x9128fe0b, 0xdc3386a2, 0x2cbf6521, 0x3fc89901, 0xc36557ea, 0x19662b40, 0x263e2fe7,
+    0xb6208eef, 0x244fa6a2, 0xe19e4740, 0x63989ee3, 0x0504ad22, 0x1127b733, 0x8523ca8c, 0x39507319,
+    0xbf6f0622, 0x74f6f231, 0xa9f11be9, 0x5d401ba3, 0x168c2f8f, 0x5f66700c, 0xd8055424, 0xe5627f3a,
+    0x26be340d, 0xf2b6c035, 0xe66785d0, 0x8c43eb97, 0x03d75cff, 0x5ea7bea4, 0xa80a6472, 0x9d056100,
+    0xd2c96c90, 0x8dc0a355, 0xdf8153db, 0x84e653d0, 0x020f0551, 0xcd50062f, 0x3e449828, 0x00315525,
+    0xebe636b7, 0x717afe00, 0x2a83c290, 0x5cb72eea, 0x39111248, 0xdfa02e9a, 0xfb8278dd, 0xb3f86b40,
+    0xbb04d292, 0xd7e12466, 0x3e849986, 0xe2d6e302, 0x50512a9e, 0xabf49679, 0xbbc61751, 0x04b835c0,
+    0xa5cff2c8, 0xa54c2743, 0x4ef2c500, 0x42ec4eda, 0xa9e7b321, 0x9e23220e, 0x57ca0d5c, 0xfce4db53,
+    0xb2f6b28f, 0xf88c696b, 0xebaf1f8d, 0x41d98ad9, 0xe4b02dfc, 0x57ec4445, 0xe763c2ab, 0x5b784a2e,
+    0x14fd1cda, 0x5afe686c, 0x01e55510, 0x1bfd15a8, 0x1f45dd32, 0x121eef2d, 0x3bb9c2ca, 0x793d5888,
+    0xbceb788d, 0xb407a702, 0x338d881c, 0x7cf57f24, 0xdc91e6b0, 0xb58793dc, 0x1cec5762, 0x60d48957,
+    0x3b4e47dd, 0xc03c4ada, 0x4c9aac88, 0x709c5946, 0xf2c3a9f9, 0x16c628a6, 0xe9c344f8, 0xd4ee6728,
+    0x3331bf48, 0x0c1b67fd, 0x0d18d252, 0x5cf56949, 0x0844f618, 0xd54a94e2, 0x99802457, 0x5795f5ae,
+    0x89d2350d, 0x85a4d878, 0x30e6c033, 0xdf1b9a69, 0xe8dd191c, 0x87e6901b, 0x131f764d, 0x04a204ed,
+    0xfd5f3d28, 0x7d16208d, 0x1d8d8220, 0x94b069c3, 0xcd716f2e, 0x247af28d, 0x3a5abcb8, 0x7e0192ff,
+    0x1e112840, 0x0e12525b, 0x859eb9f1, 0x4761476e, 0xf1b6810a, 0x0237256d, 0x2c76ee47, 0xc2bb514d,
+    0xb12b6c99, 0x6f3f9b48, 0xd4936b2c, 0x7349817d, 0x51250886, 0xc6bc6dc1, 0x5ee30e43, 0x6cb3469b,
+    0x093219c7, 0x384566bb, 0x9d1689e6, 0x740a950f, 0x44d9402d, 0x61c43350, 0xcfb24d9a, 0x0f61ea47,
+    0xcb8b4744, 0x1ad0ad90, 0x9178c97d, 0xe9ddafd8, 0x6ea85c26, 0x7c112132, 0x3a83d0e0, 0x212e32af,
+    0xd1450db8, 0xb0603cfc, 0x48617d87, 0x691ec7c6, 0x28e0af41, 0xe7316989, 0x59de1218, 0x1b46905e,
+    0x5a9d8ffb, 0xa012741b, 0x09d23a35, 0x95705661, 0xc165ae02, 0xdf455da2, 0x1e132b04, 0x0e0181cc,
+    0xe8f3251a, 0x5a0ef58e, 0x984c7255, 0xfaed3d17, 0x5cccad60, 0x20b28457, 0x7127c4d4, 0xa854d0b7,
+    0x78a9ff0f, 0xeb5b4a47, 0xd30d1bbc, 0x545f9bfa, 0x711f4647, 0xf96f9755, 0xf8c4533c, 0x0df617b7,
+    0x20a011e3, 0xfe2c8909, 0x473ff60d, 0x41b5b9cc, 0xee068628, 0xe3592059, 0x7e658f55, 0x3b20a7ec,
+    0x44508d1d, 0x368e3d1f, 0xb31667eb, 0xd7ff2b5a, 0x1d9a2f75, 0x38ec6c57, 0x12a334c3, 0x2714e052,
+    0x15cb23a6, 0xbaeeffff, 0x00e5e928, 0xa17f749b, 0xb5bacb73, 0xd269bb87, 0x8ee51d27, 0x9c6df8a8,
+    0x236d3635, 0xfce4d6c2, 0x26609aea, 0xa8753d36, 0xb9affae2, 0x5a69e103, 0x4cd05390, 0x0ef39d4a,
+    0x39ec54f8, 0xd6933956, 0x202f570e, 0xe0ca20cc, 0x9ea2983f, 0x11747718, 0x039288d3, 0xf8bab9fd,
+    0x3d8072e7, 0x1430b276, 0xcbd48904, 0x6cf43258, 0xb5132494, 0x63629660, 0xec4bfa42, 0x99e652bc,
+    0x73e4b9a1, 0xb4b78818, 0x372b33f2, 0xf35325e8, 0x2b8cb4ef, 0x60aba7cd, 0xada31b2b, 0x9f9850e5,
+    0xa6e48039, 0x67dfd5be, 0xd4d44cee, 0xb07f07a4, 0x723a09cd, 0x122f7f53, 0xcf5f7123, 0x2fcde7b9,
+    0xa325429c, 0x8940fa66, 0x623337c3, 0xfd8bd33f, 0x8a625650, 0xeaa63d2a, 0x761833ef, 0x4f7d48c5,
+    0x10d9dc65, 0xf4bfe3df, 0x922d55b9, 0x20090b86, 0x11cb976d, 0xbfb15a80, 0xe744f242, 0x70f81f00,
+    0xee69e0ff, 0x8b723993, 0x9f041bf0, 0x6e8c4ce9, 0x2c37f348, 0x6c06c818, 0x930f6963, 0x9243a633,
+    0x0f26df6f, 0x631dddfe, 0xf8a083ab, 0x591bb89e, 0xf1a1c7a4, 0xf50ae983, 0xc6ef4fe3, 0xe51612b9,
+    0xb56ac1d2, 0xbe881672, 0xebb44039, 0xa2e223ea, 0x00aad46b, 0x4828172a, 0x36c1334c, 0x1249eb27,
+    0xe1db8ae1, 0xe3f1de2a, 0x6d060800, 0xccabae38, 0x0f54ea57, 0x33ff4c29, 0x6d8a028b, 0x55e5af8b,
+    0xec9c9976, 0x10d1e7f9, 0x2d1a19a7, 0xc22e6223, 0x0f987b0e, 0xdfdc451e, 0x7f4477c7, 0xf80b57fe,
+    0x92cbb353, 0x9fa11a4d, 0xde680d33, 0xaf5f2066, 0x35045e7f, 0x0ef6f403, 0x69a1f100, 0xd011ce1a,
+    0xffbe0291, 0x12c654f4, 0x8fe03459, 0xc78b8663, 0xf7846de4, 0xc23e56fc, 0xd0f79837, 0xab9c64b9,
+    0x959201d5, 0x2997d299, 0xcabc176d, 0x212d50e1, 0xe271e195, 0x3ce765c6, 0x5979b863, 0xf0dc74fc,
+    0xd5f6b007, 0xaeab896f, 0x04a5d763, 0xb050f46e, 0xb705b276, 0x12bfa0c3, 0x46b7b188, 0x361a95a5,
+    0x7095be1a, 0xa70b27f1, 0xa1fdef49, 0xe13f5d81, 0x97ca83e2, 0x6f18e2fa, 0x19df00ef, 0x134696dd,
+    0x0aed63f0, 0x8ddc885c, 0xf57e0f50, 0xa0ede19e, 0xc173ca14, 0x46d7a0fb, 0x71989fcc, 0x18529af6,
+    0x6d9242cc, 0xa5675bf8, 0xd162e0c2, 0x6c88683a, 0xbc82a0d8, 0xc5ae2f73, 0x8aa1b61e, 0x7466379e,
+    0x529fd22f, 0x11c806c8, 0x91b0fa20, 0x8e712183, 0x8d1dbbdd, 0xe2997caa, 0x2eca791e, 0x1544e8e6,
+    0x33aad1ec, 0xd0456b14, 0xdf2c29d8, 0xb586f585, 0x7e81e259, 0xeacd1083, 0xb97bd871, 0xb04f215b,
+    0x028b43ca, 0xbf3e8b01, 0xa6ff3974, 0x8c7b3df4, 0xd46be5ea, 0xca489146, 0x86befef8, 0xdf0831a5,
+    0xe22d4f02, 0xa5faf17b, 0x43d0c24c, 0x42bcb542, 0xa33fb98b, 0x058156ef, 0xcb8c7a67, 0x761ebf2f,
+    0x26db2e62, 0x96b5ff87, 0x84934d6b, 0x7bc948c2, 0x025e0bc1, 0xf1cf81cc, 0xb6d8e2fe, 0xd5a4887d,
+    0x02c6116f, 0xfd84f7cb, 0x4a7b308a, 0x92d8fbe1, 0x04c6d5be, 0x39ebf851, 0x34f89615, 0xdea9c501,
+    0x44650ac7, 0xc2e6eec1, 0xf65ea683, 0x6db03ea3, 0x8f636f25, 0x8661d17f, 0x1bddef4e, 0x83beb0d7,
+    0xb1861e7f, 0xede6bb2b, 0xcaf4143f, 0x0e6de0ad, 0x3a34110b, 0x492840d4, 0xaf3f54c8, 0x98d689a4,
+    0x7466e8e4, 0x5bcc77ef, 0x27fbec72, 0x002bbe5c, 0xb1174033, 0x6c6697ba, 0xb9ea80c1, 0x18794647,
+    0x30b46df5, 0x52d56468, 0xce078cbf, 0xdc14788a, 0xcb04c638, 0xe2a5ccc9, 0x20ab98e0, 0x1ca65405,
+    0x7273a0e5, 0xb675813e, 0xbd06083b, 0x1c068b69, 0xfdd694cb, 0x62841dd1, 0x5819165e, 0xef082b93,
+    0x496edfcb, 0x37a2966d, 0x8c7bdb8e, 0x480fb69f, 0xb7192103, 0x67618812, 0x96bae127, 0x6528d7f0,
+    0x08bafe56, 0xd97b3636, 0xfcb55d64, 0xd5d876ce, 0x9eb0fe52, 0x67466e3d, 0xea7527d0, 0x614cc24f,
+    0x9cb6c446, 0xe3f382a5, 0xbcc6048e, 0xc589394a, 0x67b1576b, 0x06b28fd9, 0xf821591f, 0x90c0b3a5,
+    0xa2400658, 0xeefd6a49, 0xbb00105b, 0xdf328964, 0xfd198cda, 0x87511e95, 0x574f4e48, 0x4d1b2644,
+    0xc448a935, 0xebb2e524, 0xc9e763bc, 0x7bffe632, 0x0b2a40fd, 0xd42dcdda, 0x6f2d3d3c, 0x7da5336a,
+    0x80095ed0, 0x06c50057, 0xb4488b10, 0xbf9d9e12, 0xfb3c5d58, 0x1cbc0004, 0x95b11fb1, 0x796b8a16,
+    0x51497f84, 0x787ccdb6, 0x2a851e0b, 0x4c0d0002, 0xfd4cf10c, 0x498a8b1a, 0x9af7bc5e, 0x0491f36c,
+    0x05b5d14c, 0xb7cddbb5, 0x603f9f94, 0xccc75584, 0x0813dd2c, 0xfd68bc44, 0xe3e2b552, 0x71d3b537,
+    0x302a1cc9, 0x2aba64d6, 0xd5e2d3df, 0x971ca239, 0xd6f0a4aa, 0xf2c94ebd, 0x3d0c8a0d, 0x3011959f,
+    0x1ad47481, 0xa694357d, 0xa7957fba, 0x187c0699, 0x853e9455, 0x56c93269, 0x15fc7961, 0x8a3f72a0,
+    0xe8aa1b8f, 0xf5e47142, 0x4255aba1, 0x3b689345, 0x98024d81, 0xff0e213c, 0x44f2bf35, 0x38326964,
+    0x7e9c4ebc, 0x35853fd3, 0x93ca5a7e, 0x19e92940, 0x0b5000cf, 0x44ca9114, 0xa885dd86, 0xf6a75f7f,
+    0x6bba3d6f, 0x3f6ecfef, 0xddd7f98c, 0xbc818277, 0xeaa5511f, 0xf9bd664b, 0x250a131f, 0x2b7c8193,
+    0xbd0c1f6a, 0x91838d6a, 0x4a417cd5, 0x4b7265ee, 0xb74016d3, 0x8ceb84f0, 0x45a0a05b, 0x3a72b3bc,
+    0x2752db23, 0x1d0f4c93, 0x7a3288c3, 0x7f6ab424, 0x8ea91f1a, 0x344cab5f, 0x13d3eb3c, 0x47eed17c,
+    0x00ba6901, 0x36ce4e63, 0xf3edd563, 0x15f3ef84, 0xa9899aeb, 0xc24c51b4, 0x928ed07e, 0x62c08a02,
+    0x22570fe0, 0x1909a72f, 0x85f26269, 0x62fec072, 0xf4164b4e, 0x3628c9b2, 0xcc2620c3, 0x50a3ad7e,
+    0x5b3729b9, 0xb30fa040, 0x54e9f180, 0x1b01902f, 0xc87b8b96, 0xd8e8f9dc, 0x5b92fea1, 0xc96357fa,
+    0x8c1c41cb, 0x43f8311c, 0xbba12ef6, 0x36cb919c, 0xe6a5950e, 0xd2877b8f, 0x8f99fcd2, 0xe3482027,
+    0x567c7c90, 0x945fd9cb, 0xcc180926, 0x2e652be6, 0x14cfd9a1, 0xbb0b50a2, 0x79b4aae5, 0xbf39cdf7,
+    0x0e6b978d, 0x58d77c20, 0x3f68f23c, 0xb6da1eda, 0xf438c516, 0x94581147, 0x44e1441b, 0xaafb300c,
+    0xc9568445, 0xe3656397, 0x9416074f, 0xcf3f2fa0, 0x5b2f40e6, 0x909745d2, 0x921049ca, 0x0fa669f0,
+    0xad6d40a3, 0xc0550dae, 0xa96b584f, 0xa2dcc9f0, 0x4919ba80, 0xb678f894, 0x0aac2092, 0xbf93e75d,
+    0x521f4585, 0xdcd1480b, 0xdfd57324, 0xf8e58fc0, 0x47ea9abb, 0x5fb0f0b3, 0xf7482d24, 0x79539f6e,
+    0xc1f9e913, 0x2c208ab7, 0x64053790, 0x83e4f3fe, 0x9c997873, 0x5ff85972, 0x82937820, 0x904634bf,
+    0x9e90ff33, 0x886423a9, 0x443fd4d0, 0xf61b96ef, 0xb7fe7716, 0xd4760670, 0x0da87cbf, 0x873b0eb5,
+    0x1d8cb7e0, 0x96df9971, 0xcd17b090, 0x1e90158f, 0x8195a116, 0x04e63474, 0x4dc26747, 0x407e48c1,
+    0xc35d8e49, 0x46e287ef, 0x16e2513e, 0xa224c58f, 0xb95c6023, 0x2fee6b66, 0xcdf1114f, 0x0a34be3b,
+    0x6a01a876, 0x258c9c8d, 0x82963052, 0xd3fdd4b9, 0x0cf617d7, 0x9b35e67d, 0xe84e9c8b, 0x113ab73d,
+    0x63ffe7e9, 0x784f2a15, 0x03b79512, 0xe9c7841c, 0x05ba787f, 0x9cb27552, 0xd46c62b6, 0x5329162c,
+    0x68e16529, 0xbfbecf24, 0x34967d78, 0x3ee150cc, 0xb5df1ea0, 0xb89b3fcf, 0xbb3cdb95, 0xcc357fc2,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000064 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffff94,
+    0x00000000,
+    0xcfb11ead, 0x453994ba, 0x67de18ed, 0xa5814af2, 0x0b5b1aa0, 0x28ccd99e, 0x59e338e3, 0x87ad8e28,
+    0x56760892, 0x162196af, 0x3c7ede80, 0x38a3b843, 0xd185e627, 0xc28efd14, 0xd94d6dd8, 0xa0d48efc,
+    0xf7c25fc9, 0x7727ac4e, 0xab3728ce, 0x177e120f, 0xdbab57f7, 0xbe604814, 0x4ae22624, 0xeed89eac,
+    0xdf3b83f3, 0x5fdc2f93, 0x102e301f, 0xc9ad65b2, 0x6acd2d8a, 0x08447b8b, 0x87466c10, 0xf58a9a72,
+    0x7da0eec0, 0xdda00646, 0x8ca5f145, 0x6e59a013, 0xbcf0cae5, 0x1b93f910, 0xe2a31dea, 0x098818e2,
+    0x8d7b438f, 0x0212ea28, 0x37b5aa9f, 0xd1a115e0, 0x779329bb, 0xa4518094, 0x13aaa9dc, 0xc509afe2,
+    0x4b6a182a, 0xfc36cfe1, 0x79d88501, 0x4bd2561d, 0xbf5312ee, 0x13e63e12, 0xe37796d0, 0xa80a5742,
+    0xe89daa06, 0x0d00e694, 0xca0c0598, 0x91b5f922, 0x0f644832, 0xb5c26573, 0x620b05e8, 0x39c74933,
+    0xb59cb51d, 0x6cf66b46, 0xd118ea65, 0xd8cfa498, 0x5716e025, 0x16cef650, 0x798d53fa, 0xa48792b8,
+    0x3090a749, 0xd59d61ac, 0x3d0d4afe, 0xa4a009d7, 0x74a00f5c, 0x8fdbc139, 0x6bbbbe0c, 0x8eee1ec2,
+    0xf426b91e, 0x02d71bc4, 0xb88f46af, 0x12ab3126, 0x5ae1be73, 0x85d78a61, 0x95b98af1, 0x30d71750,
+    0xd009f103, 0x439a7729, 0x3423a916, 0x43e84a54, 0x8393f499, 0x008ba887, 0x66244ddc, 0x0dac8593,
+    0x423f2f20, 0x986cb5b9, 0x1a087ff3, 0x7c18470f, 0x48e099ac, 0xc2015fef, 0xa666831f, 0x6d3a69fd,
+    0x75feba61, 0xb192bb01, 0xd271de48, 0x2312afdd, 0xc27c3fac, 0xf7bf0d7d, 0x91a4078b, 0xa45fda75,
+    0x0de512ab, 0x45f89812, 0xe860863d, 0x72bb26d2, 0x0b23fad2, 0x61727b54, 0x3fe351ec, 0x75263cbc,
+    0x9f8200a2, 0xef55ba38, 0xe3342abc, 0x57e9693e, 0xa4b29156, 0x62b45421, 0x3ce73085, 0x84ff5e4d,
+    0x59ca705b, 0xa33f61f5, 0x91945157, 0x7a110528, 0x003af818, 0x83b937d3, 0xa1cab089, 0x73018f4a,
+    0xf42f80e2, 0x0c8ea2c7, 0x4d6600a2, 0x4470e318, 0x04e555df, 0xf23d4b57, 0x0f13f171, 0x9742c26d,
+    0x19bc5c85, 0x0d0f9314, 0x2386a8cb, 0x6678cd08, 0x42a08b55, 0x7e1ef0df, 0x3ad51939, 0x9137562d,
+    0xe5db2bed, 0x495c61ca, 0xcad77f80, 0xdfbd2093, 0xfd1126bb, 0x12b573e6, 0x91fbbeda, 0x24882f9e,
+    0x3c7d5870, 0xa025226f, 0xfcedce8c, 0xd77eb70d, 0xe2108c62, 0x7ea2074d, 0x95593bf0, 0x114a92c1,
+    0x231401c1, 0x59583540, 0x5a725d49, 0x163ebaf7, 0x67785b3a, 0xc03732af, 0xf2c78f0e, 0x0ab5a22d,
+    0xfdf29893, 0x3571d646, 0x1316d61e, 0x05c2658a, 0x0c1c1fa3, 0x63338f0b, 0xda80fd0f, 0xd27dcc56,
+    0x7c329cb7, 0x10e8fa5c, 0xcc9d5207, 0xea341e02, 0xdebcc7b1, 0x6f3bdfdb, 0x758f4197, 0x7ef7aa4c,
+    0xa62f6827, 0x6abc5ad3, 0xfa7db1c1, 0xef0edf85, 0xefb9d04b, 0x9db87b1c, 0x4dbb5b36, 0x9863fd00,
+    0xf6d59a8e, 0x173fd9ff, 0x0e145e17, 0x8c705603, 0x9b88d0f6, 0x487fe964, 0x04206a40, 0xe66d4557,
+    0xba9d5234, 0x7bc7b06b, 0x1d670519, 0x209f7564, 0x9b8ab771, 0xd6ce00b8, 0xf2dd1703, 0x64699875,
+    0x7916222b, 0x4cfd2e7f, 0xa3b2b2ec, 0xd804c11f, 0x3412f19b, 0x1a0600e0, 0x8caff7d2, 0x91343e27,
+    0xe34f4423, 0x2875b197, 0x843d1512, 0x0f04aa6e, 0xf75189dc, 0x809379fb, 0x3c9da9fd, 0x1876b7db,
+    0xff57f7ca, 0xe96e0933, 0xf0a6b779, 0x2a6efd29, 0x6d3e01b0, 0xb2ebe9b1, 0x0e6720af, 0x032ab20f,
+    0x54686005, 0x91f7cd3d, 0x6e128e96, 0xbaac7ab3, 0x456a25f1, 0x94e93417, 0x77fb2c4e, 0xb2b2fa01,
+    0xcd6bca87, 0xed6cf4f5, 0x5fadc8e0, 0x0fedeab4, 0x10554606, 0x04854a5c, 0x585ef732, 0xcbcb2738,
+    0xe8639f2d, 0x5dbbb972, 0xdf2fae8a, 0x7b5c57f6, 0x002a2f67, 0x8fbbf5fa, 0x97628421, 0xa50c5131,
+    0x54126f05, 0x1f86d66e, 0x7c59a75d, 0x6c58693c, 0xb0ba83d3, 0xb5c6f224, 0x80539131, 0x98110e0f,
+    0xdf82b467, 0x5b83ad8c, 0x38613709, 0x74fb21bd, 0xd8362060, 0x147e31d0, 0x04018685, 0xfd802721,
+    0xe4e08264, 0x2662c51e, 0x8d109f37, 0x02b32672, 0x5b78c788, 0xef263ec3, 0xd80d883f, 0x56b78498,
+    0x16ced99d, 0xf910cfb5, 0x5809434e, 0x1d01e2b6, 0xdca5be65, 0x1c2f30b1, 0x0e8f0669, 0x4bba2488,
+    0x9b421eee, 0x46b2302b, 0xf70b360c, 0x7c8a3b10, 0x49cfabed, 0xaee0dc85, 0x3331394d, 0xae3793c7,
+    0xf685ba9a, 0xb5f0f44b, 0xc732b501, 0x4ee28678, 0x1ed8b8aa, 0xe06d6dbb, 0xf2326f2c, 0xef6a47f6,
+    0xd86263a7, 0xbfa39f1e, 0x96c2f255, 0x094308c4, 0xd3a77535, 0x69308b93, 0xdcc77196, 0xc4fce182,
+    0x1dfa519c, 0x0c33458c, 0xd418d232, 0x80d0c081, 0x930ede32, 0xf6a7539a, 0x6e9fcd38, 0xd11b16c1,
+    0x565ef7bf, 0xff4d17da, 0xbe01de8b, 0x858f724f, 0x7bef44b4, 0xa71f869e, 0x3c5ee07c, 0x6d7a7bf3,
+    0xf15daeea, 0xdb1afc93, 0x0d085d8f, 0xa6d66054, 0xf7f9ac6b, 0xea7f462a, 0xc9394089, 0x459263b9,
+    0x4209dffc, 0xa7cfe727, 0xd803bdc8, 0xad573a27, 0xd8b807e0, 0x026c8f4f, 0xf6d558da, 0xa80bdddc,
+    0x90768f94, 0x43559ee1, 0x134c65ad, 0x72e6163b, 0xc8460937, 0x4ea43469, 0x577cfe5f, 0x408e700d,
+    0xe5be327d, 0xb46c5fad, 0x0a4513b8, 0x54f116bd, 0x05ae384c, 0x21e1ecc8, 0x25ab8994, 0xf2747572,
+    0x1b3ab952, 0x35f3833c, 0xc9f8df31, 0x8fd1d8a9, 0x6593993b, 0x85394200, 0xd32b5dab, 0x02c34cbf,
+    0x305fdb99, 0x4132e053, 0x58fe4f38, 0x5796e1c3, 0xe51138f0, 0x630a9861, 0x727f9e94, 0x1f24f95c,
+    0x3e70d570, 0x850909bb, 0xad5c512c, 0xc32430d7, 0x6a2e92a6, 0x6d1c7cef, 0x57c7ff93, 0x39b3aeb9,
+    0x04d3bff4, 0xc063e6aa, 0xaa8e316d, 0xb89c8e48, 0x9f846dc1, 0xfa96ed58, 0x0595e3ad, 0x3eb847b9,
+    0x94e63de7, 0x54408f9d, 0x777eafc6, 0x1cbc8a37, 0x0bf17868, 0x52bd23a5, 0x35830089, 0x69be3ce7,
+    0xad52f8d7, 0x0dabcd29, 0x3cb1797f, 0xf8d109b0, 0xa5ea3e27, 0xfe6c8352, 0x6bdf1eaf, 0x49240c4a,
+    0x8d6c0adb, 0x2cc23876, 0xb985f548, 0xebf9e1a5, 0x0c71de06, 0xcb22343d, 0xfeec0a95, 0xd809d81c,
+    0xadd12a86, 0x1865de01, 0x4bc991e0, 0x175badf0, 0x6a8e8b16, 0x7221a849, 0x5343396c, 0x8f8f4f3b,
+    0x18e6ed05, 0x60451c49, 0x37003b00, 0x2ad5e00b, 0x7996f9c8, 0x8ed37e15, 0xa64c8080, 0xff204a40,
+    0x8e50d291, 0xa7a83fad, 0x9642d30d, 0x4bd86418, 0xf2ab12c5, 0xe0c67503, 0x974be652, 0x1e1b63a6,
+    0x650d7124, 0x7f60d937, 0xd67df069, 0x999e90b2, 0xd6045a75, 0xdb15307a, 0x8aadd5da, 0x873d0338,
+    0x0d5a4247, 0x50c60522, 0xb7348e32, 0xa78fa43a, 0xf82d45f5, 0x2e062a9f, 0xd22e4bbc, 0xdac52aac,
+    0x5afe6695, 0x8c7d22e5, 0x93167096, 0x4f2d7be2, 0x5531309f, 0x01180311, 0xf60b66ee, 0xd2a8365b,
+    0x312a6f3d, 0x19dfe7da, 0x5d1aab35, 0x3d2d1604, 0xcc4a29ac, 0x30f489fe, 0xdb58f6c5, 0xc7821147,
+    0xe604c8a9, 0xe084123a, 0xc5cdea7f, 0xb5efc9c5, 0x3fe81fa3, 0x85fe3e81, 0x73b0f363, 0x55f41a1d,
+    0x918ce892, 0xd20fbb3f, 0xcfea579e, 0xea0fd31b, 0x629b4994, 0x8b039971, 0xcbad2463, 0x2f142826,
+    0xd4956299, 0x24b2b835, 0xfcce8058, 0xa188f8a0, 0x6af60137, 0x3719e051, 0x68dd8013, 0xc30d4476,
+    0x904cbac4, 0x31b00944, 0xc524344c, 0xca2aee2d, 0xd993d6cc, 0x37c70fde, 0xd78e7271, 0x757b7029,
+    0x270a9f8c, 0xf2b86e5c, 0x52e5b755, 0x0a434a14, 0xb0612e93, 0x4df96d69, 0x0aa4ecb7, 0xebea004f,
+    0xffeafea0, 0xc09fc418, 0xc1c2748a, 0xe2c3d60c, 0xac8f4b2a, 0x647a3c48, 0x35466765, 0x6f472e8a,
+    0xc33aba43, 0xd2e125a2, 0x2bc42b4e, 0xc0c820cb, 0x18b46904, 0x477cf86f, 0xd386d7c4, 0x028b0b01,
+    0x04982ae5, 0x31ef6a69, 0x419920ac, 0xc6ba0362, 0x9ff9499d, 0x31679e9b, 0xf3c52d2c, 0x826f558f,
+    0xb8a6ea90, 0xe42bfc1e, 0xc56b37fe, 0xc1d6483c, 0x1d600fd5, 0x208d3ef7, 0x55b0ea4c, 0xf6ec7bcf,
+    0x2aa8c14b, 0x4b588cdc, 0x04791dba, 0x32da4010, 0xce598af3, 0xccd3f066, 0xb7a7de68, 0x73a3fc16,
+    0x7aee27f6, 0x3019f56e, 0x99049d9a, 0x3810fff6, 0xe6a1b140, 0xf4c855ee, 0x54b78bc9, 0x2330818d,
+    0x3005a87d, 0x0e79c16b, 0x0c65a93c, 0x704ae0f5, 0x3728f94f, 0xf0f04b96, 0x0c4fef1d, 0x1d993cac,
+    0x4281249d, 0xc0ea68f5, 0x73b6b586, 0x183ec6aa, 0x5852598e, 0x5352036c, 0x090ca6e2, 0x3824be33,
+    0xc2a894d1, 0x9ce8c414, 0xa02e8360, 0x8082a325, 0xcbc3a885, 0x05d6bd44, 0xd0f241be, 0xd239776b,
+    0x716e49ad, 0x71a23892, 0x44f2563c, 0x8235e38e, 0x5c0ba1ef, 0xffe1ad1e, 0x57d40727, 0x25cb15b4,
+    0x7cb0b32b, 0x8e6073c2, 0x7e18b517, 0x0f7190ca, 0x2d147415, 0x1942921d, 0x3830e006, 0x8d8f79be,
+    0x3db06247, 0xdb0f4ca4, 0x4683dcb9, 0x99050cad, 0xd3c79d3e, 0x9188a94b, 0x00d36ff0, 0xa2926347,
+    0xef961336, 0x3bb5bdd9, 0xacc05464, 0xa8ebae17, 0x65e300b3, 0x48d604cb, 0x76e3296d, 0x82fd37f8,
+    0x981e8313, 0xf0519800, 0xec34079b, 0x2f261b2b, 0x33bdde14, 0x390d97b2, 0x13228835, 0x4f26a34f,
+    0x5ccceba2, 0x7bc6c76e, 0xd64739e1, 0xff28519f, 0x253c4f07, 0x43e99ed6, 0xab0d8e0a, 0x2313c870,
+    0x64ca0c26, 0x8b4d54dd, 0xfabe43d4, 0xc956ba55, 0x826bde33, 0xfa360283, 0x9be02767, 0xa2b5e198,
+    0x1afdb2d9, 0xadadfd28, 0xeb977a5f, 0x0292b753, 0x2978ded5, 0x3bf49051, 0xed70785b, 0xa77aa61d,
+    0xe7b32546, 0x47c93883, 0xaa51dbc5, 0x78e55b9a, 0xf133b687, 0xcfcfcdab, 0x4ea39819, 0x527007f9,
+    0x914cb168, 0xf59a1edc, 0xbd46f17c, 0x5c165b3d, 0x6c03aeab, 0x16769c73, 0x5083834b, 0xef4bf1c7,
+    0x84caad39, 0x7845094d, 0xf5feb990, 0x15a6a61b, 0x4fc12c6a, 0x7a41cdc6, 0x8f230d3a, 0x9b59d6d3,
+    0xe6400b95, 0x93e595cf, 0x99ab8453, 0xa637eea5, 0xc7353a4c, 0x355a2fa3, 0x19395dd7, 0x417dc55e,
+    0xa585325f, 0xc4bd1d85, 0xf730b39d, 0xd06a1593, 0x9dd9644c, 0x68bbf2bd, 0x63c473c5, 0xeb46f1f2,
+    0x4c5d685d, 0xa3b43ed6, 0xd18fa92d, 0x979c3d96, 0xd961b42d, 0xba3fdb4f, 0x9ec282af, 0xa2c8e698,
+    0x302fb451, 0xa0ab4cec, 0xcb63419d, 0xdc23c09d, 0x3242ec6e, 0x61b5d83d, 0xfcfb6098, 0x02360acb,
+    0xaa00ac62, 0x3c4495b0, 0x0ee00a47, 0x5e6bcddf, 0x5c326de4, 0x3077e2c3, 0x90873a74, 0xb577a999,
+    0xf59fb2ce, 0x738c9002, 0x3c8129d7, 0xb2d56548, 0x716c4147, 0x3fde439d, 0x9831fcde, 0x734f82a9,
+    0xdc9a55e7, 0x9aecde93, 0x926a6d12, 0xd0aff4a7, 0x97646169, 0xfce62bf5, 0xc39884bc, 0x63eb6b11,
+    0x2fb05024, 0x3b64a7e6, 0x5126d32e, 0x1c2d9068, 0xe27c9e26, 0x5fa5d3e4, 0x6b13ee7b, 0xf55973e0,
+    0xb99e070b, 0x158ab89e, 0xc632360a, 0x74a6dc04, 0xe30529c5, 0xad8c0092, 0x2170aabe, 0x64ff03bc,
+    0x7c8ae3da, 0x00595e59, 0x38e977ca, 0x79367487, 0x95c51295, 0xc31c33bb, 0x6b0eece9, 0x07020971,
+    0x77a9ea27, 0xde19bd18, 0xa71709a3, 0xc4fb5c2d, 0x29ba5c68, 0xfd1aa570, 0xffdc577f, 0xebef1ec4,
+    0xfcead321, 0xbb89a8f9, 0xc2061f1f, 0x8c0b2f90, 0x317ebbdc, 0x29500c5e, 0x9b06f22a, 0x8d16f327,
+    0xe438b3e5, 0x0f9e9eca, 0xbce102fb, 0x731328b3, 0x173bc3c7, 0xe52f2ef1, 0x1ca90ba4, 0xf62e3db4,
+    0xd491ccd2, 0xadc0b9e2, 0xa657700e, 0xfa28519c, 0x0788d215, 0x4555e9c2, 0x6bbc3f37, 0x82d817c8,
+    0xd21fc1db, 0x1453aa97, 0x1cc07800, 0xc1903423, 0xfae67025, 0xa6c0fe7a, 0x1971b6b8, 0x3464e93f,
+    0x378ead5d, 0x0127a93c, 0xedb19255, 0xa2190606, 0xa47fcb45, 0xd792b25d, 0x5c093d23, 0x8434e9e2,
+    0xa1cc6440, 0xc683aa60, 0xf13422ed, 0x8aaba8ae, 0x88d43cbd, 0xe0fb36ca, 0xa33e6ae9, 0x84fb920b,
+    0xdb0f8e6e, 0x1ac7fa4e, 0x7fe733a2, 0x5367b704, 0x64d1226a, 0x27e3dae3, 0xfd3c19d2, 0x2709e75e,
+    0xd029f883, 0x2ea0115c, 0xe2c2e4aa, 0x66fef807, 0x4677ba35, 0xe1dce702, 0x79652a04, 0x569c849c,
+    0xa12404c0, 0x20f8a615, 0xf4962bf7, 0xfbb6a87c, 0x6e171852, 0x0d63d77a, 0x33747f3e, 0x0093299d,
+    0x95d4a321, 0x2827c70d, 0xd4e9c569, 0x93141ea8, 0xbb9cf75f, 0x90df107f, 0x6f1011f7, 0x68d35691,
+    0xb07d039f, 0x3ee2c475, 0x4e4c6d24, 0xfba10eea, 0xcd6ce8ea, 0x9bbd1f30, 0x6f6b0fa2, 0x2276ad19,
+    0x64898884, 0x20ba2a76, 0xab8ef9dc, 0xbdad4127, 0x36dd2eb2, 0x8be2c646, 0x233aaf8b, 0x05c9f32d,
+    0x5751212d, 0x34ec3c3e, 0x85489ccd, 0x563e53aa, 0x88b598b4, 0x9315770e, 0x1898f3ac, 0x7740f172,
+    0x63224c85, 0x6fb30104, 0x3932131d, 0x68bf073b, 0xe3ffae25, 0xa7cafcb8, 0x5d715d9f, 0xc9ebde70,
+    0xe0bf8e78, 0xb9842d55, 0xaab897f9, 0x345a54d0, 0x5fe74d1b, 0x400570b3, 0x4ebb77a4, 0x74820ef6,
+    0x76559cce, 0x00cf617a, 0x6ab87394, 0xe48faefa, 0xe3bcdb61, 0x32fe0182, 0xac963a31, 0x993588c9,
+    0x543afb43, 0x498d60d2, 0xc02ed7fa, 0xa07e1316, 0x13474f76, 0x18a9b807, 0x78955bb3, 0x162b4e02,
+    0x47219848, 0x50d304ee, 0xec38c280, 0xe979faa1, 0xa1507a34, 0xb07d2b8a, 0xbb29bc6d, 0x965dbac9,
+    0x8b273569, 0x8c897098, 0xef573068, 0x105be761, 0x20cb71d1, 0x1c4c819c, 0xc0c05d4a, 0xf457d87d,
+    0x6782d0cd, 0xf7b5ec99, 0x14980af8, 0x641fc966, 0xdf4acd41, 0xf66a7109, 0xdbafdeee, 0xc7c22a27,
+    0x687c95f6, 0xa52e60af, 0x30032b0d, 0xbd3c5ba8, 0x8050417e, 0xcc46005f, 0x734363f2, 0xc1a29d04,
+    0x9fa22550, 0xff53288d, 0x3764581b, 0x0f8ca274, 0x387519f4, 0x6a32bbba, 0xa6057afa, 0xda193181,
+    0xe826bb06, 0x75980ab3, 0xb22a29cb, 0x05a0107d, 0xdafb9625, 0xd3f93e8a, 0xb16a0c78, 0xfae5de64,
+    0x394e5fc4, 0x0b5aa1fd, 0x8e3be08c, 0x71cedb6c, 0x23553d53, 0x462e804b, 0x624935df, 0x96f0eac6,
+    0x46027933, 0xec202a27, 0x78b34c1b, 0x13ca79db, 0x4fdd452b, 0x3134c370, 0x4f9a9aa1, 0xe8f678c0,
+    0x4e15828c, 0xd7012a34, 0xd011658c, 0x85c5cde9, 0xc2286ba5, 0xe9a7e8e8, 0x4a7d740d, 0x369f0398,
+    0xbb4d0aa7, 0x948340ee, 0x35b8e4df, 0x485146b7, 0x5c44a6d1, 0x084c34c9, 0x5687ce82, 0x28134115,
+    0x20644c97, 0x99f126f0, 0x43f75491, 0x6768db60, 0xcdd48379, 0x68093963, 0x11e95afb, 0x731840e2,
+    0xc82c3315, 0x6bb9a146, 0x3d0dd0b4, 0xc27a8257, 0x0fdb1f74, 0x233e8b89, 0x9bfc2fed, 0x489f76b3,
+    0x59e2cbd4, 0x2759a985, 0x7cd62906, 0xff8be161, 0xa9124508, 0x92d4d346, 0x8931ab60, 0x49521cb7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000032 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffc9,
+    0x00000000,
+    0xe69594be, 0xc44de15b, 0x4c2ebe68, 0x7989a9b3, 0xbf716c1a, 0xdd27f085, 0x23ccd348, 0x4db670aa,
+    0xd6e012cf, 0x7fa7cf42, 0x858294ca, 0x267ae62d, 0xb82b4f8b, 0xaffdb8f6, 0x9c549671, 0xfcf03cb3,
+    0x56f52444, 0x8ae28440, 0x04093289, 0xcd450e52, 0xde4236e8, 0xbe229fa6, 0xba291c24, 0x8474ad16,
+    0xf7fc1e65, 0xcaab6b09, 0x973b7578, 0xaf701307, 0x9adb7ceb, 0xdf4cd5e1, 0x09f4413a, 0x68fba4d6,
+    0x2a8b9dc2, 0x13886dfd, 0x9c7ae8fe, 0x93f2f0eb, 0x3c53a507, 0xa2be0709, 0xf1c38e76, 0xcd663d71,
+    0xd533bbf4, 0xa8e8a685, 0x4646706a, 0xf3062b3e, 0x6346a4bd, 0x80bc9b2a, 0x6fb66a4c, 0xb72bc950,
+    0x4633b6c8, 0xfd7ce321, 0xc0d7e182, 0x5c249b0e, 0xa3fc4e0a, 0xfbf65286, 0xbbfe21db, 0x18d15aee,
+    0x23e193b9, 0x5b39e0c0, 0xb55db33f, 0x74deeb6a, 0x49916c06, 0xfdd47ee5, 0x782b8e2e, 0x15df18af,
+    0x3882d09d, 0x8b01b7a9, 0xa878baa9, 0xc7cc9028, 0x7dd510b5, 0x0ff5d513, 0x6c26cfa1, 0x97f46c5b,
+    0x84911fca, 0x929dbe65, 0xe0f4c1ef, 0xabda7582, 0x043c2fc0, 0x07b96937, 0x19765d55, 0x63297d7a,
+    0x5c11f0cb, 0x8f95cd35, 0x0eeaf2dd, 0xaa32b967, 0x12208661, 0xa19bff7d, 0x3dcbe254, 0xb4c8ca2c,
+    0xbeef5379, 0x077cb156, 0x6241e62f, 0x7464689a, 0x3b42c79c, 0xa5dceb3a, 0xa8ee47bc, 0x333724d7,
+    0xbc2c058c, 0xc6543bfe, 0xda442681, 0x1572a624, 0xd9c35553, 0xfc680ff5, 0x25ea58fd, 0x49e00e6b,
+    0x3d61794f, 0xb011b8db, 0xe80135a3, 0xcdaaa6b5, 0x0bae1aa7, 0x90ccb865, 0x4011f977, 0x54f8ad4c,
+    0x1951d858, 0x0d52832d, 0x2fb87b27, 0x6655a498, 0x3679dff9, 0xfc6351c1, 0x3c2f90ba, 0x87afcace,
+    0x4ed5e3f6, 0xf1da75a7, 0x3be1afe6, 0xaf4ea46b, 0x4a3b8c4a, 0x9d8cf9cf, 0xc6dab075, 0x50c8a615,
+    0x5739aeb7, 0xa7c0a2a5, 0x14cf05a0, 0x03780211, 0x120081e1, 0xb8e3ce2e, 0xba4a6834, 0x0b4d9681,
+    0xbba3c6c5, 0x4483a7b9, 0x38bfce3e, 0x0bc69d5f, 0x03b19044, 0xbd3011c1, 0x306e59ff, 0x7b233e58,
+    0x2337eba8, 0xb7b6e863, 0x78447618, 0x59b11ca3, 0x5f14d9cc, 0x04641bb7, 0xe8b5bff2, 0x94acb800,
+    0x7b1e0717, 0x18a4f89f, 0x8d831d17, 0x47845fa9, 0xec5351d2, 0xe2895696, 0xefeec1be, 0x9e73fe64,
+    0xc59d9b25, 0xa339b856, 0x4cb592aa, 0x29e0d6d0, 0xf4fcf4a8, 0xa177207e, 0x154049d6, 0x5fc395c9,
+    0x9fec3208, 0xa99b908c, 0x7ff33955, 0x520fd38d, 0xe2decc17, 0x8bb7ee3b, 0x386a402a, 0xe4d98278,
+    0xdf7698e8, 0xd1ddfa14, 0x0bf8b197, 0x01a03c2f, 0x5c421f36, 0x7a8ac823, 0x6b90dd39, 0xe78a7347,
+    0x2d30feff, 0xa6deed82, 0x8fe447cb, 0x5972f86f, 0x13eb5457, 0xdd1064a6, 0x3b0e400f, 0x233fc8a8,
+    0x0f7bde34, 0x8436442c, 0x99a09236, 0x6ca2a371, 0xdedd078f, 0x82c54a80, 0xc5bc28da, 0xe3cec362,
+    0x8d4b3378, 0x02ea2aac, 0x55bf5e30, 0xef5a43ba, 0xd8641cfc, 0x578805c6, 0xed4e25ba, 0x98ab4dfb,
+    0x68ac8a7f, 0xd00fa317, 0xf6162ee7, 0xf22410c0, 0x3d14d6d0, 0x0e3aad2a, 0xe7ae7189, 0xf9bee6de,
+    0x3d395cc6, 0x5b02c991, 0x37be8129, 0x5c575578, 0x8f755265, 0x74e0d218, 0x66970011, 0x25a289f0,
+    0xa6aee6b8, 0x48ae75f7, 0xd66c438e, 0x74d60d3f, 0x5ad7576a, 0x41093fac, 0xc7ded7ba, 0x849ee267,
+    0xae4efa71, 0x681e7281, 0x03de7265, 0xa309556e, 0xc06a1e3a, 0x0e5b63b2, 0xade99022, 0x0416d9af,
+    0xce4ab386, 0xc446fc7c, 0x8db04506, 0x99ecc302, 0xdeb464d3, 0xe04d6a7c, 0xfa7dd330, 0xd6f7ca88,
+    0xe582647f, 0x5d5dfcb9, 0x8291378c, 0x46ae5231, 0xa42c7557, 0x59ff6ce0, 0x5f522128, 0x5f71f5e8,
+    0x1ae9c6aa, 0xe36de730, 0xa016f35d, 0xf245dcde, 0xdfd94593, 0x10b18440, 0xc207a6b3, 0x9f6b8e2e,
+    0x86b52f37, 0x0a8684f2, 0xbe2b5f6a, 0xbc622e2a, 0xf36d4af5, 0x2b2a0a11, 0xd6d8a23f, 0x7fde2487,
+    0xd19696cf, 0xfaa2f7e0, 0xb9ff02c1, 0x450549ee, 0xef47f730, 0xf95d3271, 0x057d75cd, 0xe522d4a9,
+    0x8da8f737, 0xbea0854e, 0xfb0f6566, 0x29d3cbbe, 0x0b61d451, 0xba9b6bcd, 0xb218f978, 0xc47512c0,
+    0x4026b3f4, 0xc2ba719b, 0xfaf413f4, 0x6eeb981f, 0x5f15ec9d, 0x8fca5b0e, 0x0341e7de, 0x0429dc07,
+    0xd88cf30c, 0xa2c6fa8f, 0xaf15095e, 0xde1e3a91, 0xd239fc98, 0xb4509eb9, 0xc42ca7fe, 0x1cb16ef2,
+    0xac1a9d57, 0x18c1423c, 0x4bd35502, 0xdde9ac71, 0x17334a76, 0x9f5b65fd, 0xb6f3562d, 0xc67c70bc,
+    0x93331fb0, 0x380d2365, 0xa3b6a751, 0x805b8cdf, 0xf268adb0, 0xea820ba0, 0x5705cfc6, 0x7936935f,
+    0xac52bf9e, 0x35101888, 0x7f1acdcc, 0x3b4c7dcd, 0xf44ac3ee, 0x3e15b65b, 0x5bf91a25, 0x28229a83,
+    0x9f49f9b7, 0x4f2d87dd, 0xb767a6cd, 0x05ca89f3, 0x33fb737c, 0x0c4de824, 0x7802542d, 0x67ac4df2,
+    0x5c0eb2b6, 0x569ee3df, 0x1336ad58, 0x4732775a, 0xa9652924, 0xd5f93557, 0x69afd3b1, 0x6732b99c,
+    0x898d2dd3, 0x5ffd53d1, 0xbc81b538, 0x1cfbc47e, 0x5fb9f325, 0xc9b03634, 0x07cf8efb, 0x28253991,
+    0xb623c933, 0x66ddf5c6, 0xc43e0409, 0xaa51f79f, 0x30a02f63, 0xfe258b16, 0xd90fe0c5, 0x7266afd0,
+    0x0852f124, 0x06f2f779, 0x7b7cadc5, 0xdb7a6b23, 0x9648c2e4, 0x4c32c8e7, 0xb202ec06, 0x1794e424,
+    0xae0ef6ac, 0xb4aefe24, 0x96059812, 0x2629c965, 0x4e45082c, 0xfe645a1b, 0x67b039f4, 0xb388e8c8,
+    0x7005657d, 0x060b8785, 0xc0861aa7, 0xf5b67e60, 0x55d8a3df, 0xaad9a14a, 0x2fc476d0, 0x12d2cd52,
+    0x18727213, 0x16cecc2e, 0x7ad6801c, 0x4c919d94, 0xb2085837, 0xdf403ede, 0x9ff98c9b, 0xc3945004,
+    0xf8acccbd, 0x829ccc4b, 0x98830a87, 0x45131e09, 0x5317cf00, 0x99dcd186, 0xb4828fba, 0xad7c228f,
+    0x63e70a39, 0x39b0385d, 0x504556d3, 0x06769157, 0x5c22f9b9, 0xdb9050cc, 0x870125e5, 0x484a06ce,
+    0xadf73d57, 0x3a8315fb, 0xecfbf37a, 0x248a3051, 0x8c3d3ecc, 0x6902ebb8, 0x6f250d96, 0xd69b6e9c,
+    0x85fe3a8a, 0x7492a748, 0x3ebc809f, 0x8a07b211, 0x7d32a334, 0xe7bc533a, 0xd54e01fb, 0x7414f6ff,
+    0xe9ae87ca, 0x73acb782, 0xd3bc183b, 0x07667fed, 0x39988de0, 0x97caa8da, 0xb3e3734e, 0xa53f8758,
+    0xecd6f16b, 0x977e508f, 0x89033201, 0x5a449d05, 0xc39c2802, 0x0e1321d8, 0x1d18b215, 0x2b625850,
+    0xb640dcc7, 0x4c6d7954, 0xef9ab133, 0xd8c5f43a, 0x2eec4655, 0x016faa7f, 0xe582901e, 0xbe61bd56,
+    0x1d7f1271, 0x73e4df6d, 0x0f53cc33, 0x6ed8d04a, 0x71c7acb9, 0x9b23e8f8, 0x0a49880d, 0x47abe993,
+    0x4cf5ad46, 0x81d46ccb, 0x4ea3507d, 0x2e0411a5, 0x3d3aba00, 0x03f15ce6, 0x507475a6, 0xcf1de6a4,
+    0x2b5be8e0, 0x32f25214, 0xdb846844, 0x646be52b, 0x7d223bb2, 0x172aa4f8, 0xe16e15dc, 0x446a062a,
+    0x94b90356, 0x19211db9, 0x465916d8, 0xcea6d4cb, 0xb7692a85, 0x431e81ca, 0x4638b994, 0x7029f6bb,
+    0x89cc94a5, 0xc6563666, 0xc48dc877, 0x7e754a03, 0x66d74f0e, 0x1d319061, 0x175f3420, 0x1629a144,
+    0xfda60d3b, 0x5207c343, 0x0831f033, 0x02f48af3, 0xfd9994b0, 0x27e5393c, 0x56a0d153, 0x1303bfdc,
+    0x8ca015e9, 0xb3664948, 0xf0f1a73e, 0x977b2ca3, 0x4e5aa858, 0x6f1c8944, 0x361737f7, 0xc978ee88,
+    0x7a7e5108, 0x90caf208, 0xf3ff1223, 0x64ca06f8, 0x9770a700, 0x1da86ca0, 0xc3d75484, 0x4f451bd3,
+    0xfffbdd76, 0x3e9d8bc9, 0xe787bf3a, 0x5295191e, 0x37182653, 0xaf3d01b2, 0x3e673646, 0x1eaa8e02,
+    0x0bd2154d, 0x7019998e, 0x2a8713a3, 0xea1729bf, 0x738aca2f, 0xc9a8020c, 0x068880d8, 0xa5ee35fa,
+    0xc0a1e81c, 0x687a896a, 0x3068b550, 0xec931a30, 0x9e65776f, 0x6918c7e5, 0x83166e99, 0xd6cec2c1,
+    0xb62624c3, 0x264ece4e, 0xd8e343f2, 0x32c321e4, 0x295e08bb, 0x2a8bda41, 0xd08ef82b, 0x28de7d0e,
+    0x57baf686, 0x5adfaecf, 0x642c7e8a, 0x58dd8f9d, 0x9e81a5ea, 0x5630dd48, 0xb3e51ad8, 0x36c27126,
+    0x2809aa05, 0x6e2611a7, 0xa10dc242, 0x933d61bc, 0x9453ac26, 0xd2eb4f2e, 0xbb919d53, 0xa7cd74a7,
+    0x7148b907, 0xa9429be4, 0xb2ba1ccd, 0x5de22ca3, 0x13003755, 0x38156e70, 0x67c83b24, 0xb58167b6,
+    0xebf8f23f, 0x3af618dc, 0x4231ea70, 0x3b295f2a, 0x856a2cc7, 0x96843bf7, 0xc41931b9, 0x521f4307,
+    0x9af91f3c, 0x2593235d, 0x54c67b2a, 0x4c7be779, 0xd44fe3cf, 0x36ba431c, 0x232f4354, 0xe93941b2,
+    0x16205382, 0xbd9dd074, 0x7231a3ff, 0x79a31074, 0x432aebb1, 0x997dec32, 0x582406bf, 0xeabb6b84,
+    0x4858fd2d, 0xc275ae87, 0xebca8f15, 0x50668544, 0xbdf51c2e, 0x790536a7, 0xe26ec543, 0xe48c0ae7,
+    0x54b47bd7, 0x4a0e4eef, 0x75112bf4, 0xd12c72e6, 0xedf74817, 0x98b02aea, 0x2012113e, 0x08e72265,
+    0x784192c9, 0x6ba22e89, 0x8ee7f6ef, 0xe07acf43, 0x93d628e3, 0x7c0d6f72, 0xa30d674a, 0x2a6c34e0,
+    0xba62b5a3, 0xa346bc3d, 0xb6be9836, 0x118b18f1, 0xfa4d3502, 0x45a27663, 0x17f86e52, 0xb4276de8,
+    0x1b07bd6c, 0x70ed1110, 0x70305c73, 0xf400e204, 0xb3831efb, 0xfd3a2fdc, 0xa910c2e6, 0x3711996a,
+    0xf0446de2, 0xb449cb5c, 0xf2c01157, 0xfa9c08c4, 0xe32fb8e3, 0xf820b772, 0x13328854, 0x71aba32e,
+    0xb0e39c58, 0x8264251a, 0xaa019904, 0x3c81fccf, 0x7108357b, 0x34814198, 0x550ba83b, 0xfb98a403,
+    0xf8c44e54, 0xa0da48af, 0xfa9532a1, 0xe873d5f6, 0x206f91a5, 0xd91116fd, 0x802080dc, 0x8b606dad,
+    0x967448cb, 0xd18df3e7, 0x47f81cc4, 0x3c5a8961, 0xf2236a3b, 0x22859eb0, 0x14ea78c7, 0xc4358278,
+    0x461b07ce, 0xe82cba95, 0x2ca8206f, 0xa36011a7, 0xca4c2aab, 0x8629bc9c, 0x0d031eca, 0x326bff6d,
+    0x0bdf50b8, 0xf22504ea, 0x1ebaf080, 0x7d968e39, 0xd66d1534, 0xb2944e6a, 0xc5d1fd8e, 0xa4414d17,
+    0x1c63bcd5, 0x2694106d, 0xcab968bf, 0xd6934884, 0xb95f3f8c, 0xdc75a130, 0x996efaad, 0x69cf2e76,
+    0x953dbf4b, 0xf97d0410, 0x61308086, 0x7af302b0, 0xd2f1c7f1, 0x73210a8d, 0x1d8878bb, 0x44d205c8,
+    0x80f97684, 0x19042fc9, 0xd08c4f93, 0x4663d6ad, 0x5791e8df, 0x3fc9d91a, 0x36698cf9, 0x3e1019fb,
+    0x58887012, 0x294eab36, 0x3702fedb, 0xb9050084, 0x959c39eb, 0x546291c9, 0x2fb1eeb3, 0x2f351cb1,
+    0x21383894, 0x70984f23, 0x96eba768, 0xdab7ec37, 0xa07eb50e, 0x12991ae6, 0x8015b93b, 0xee07c054,
+    0xe9858eca, 0xda7e4e82, 0x7516d883, 0x4c39a55e, 0x6c2b94a0, 0x5178b88b, 0xa5eadf56, 0xa546bca3,
+    0xdffdf1d1, 0xe6d02873, 0x095e3688, 0x1824d9b7, 0xd29108b2, 0xe6679fa6, 0x0b392cac, 0x0ab8e89a,
+    0x5111c3f9, 0xa9f62f54, 0xbe518ad2, 0xf5133b77, 0xdb05a268, 0xdb944872, 0x6c24c062, 0x09ea211e,
+    0x326f0f93, 0xeee74aa9, 0x68f2a876, 0x8d9857c0, 0x3f02d017, 0x209ed4f7, 0x3926bdc4, 0x9f7d7df8,
+    0xff79e103, 0xbd4fe27c, 0x8d7ab198, 0x3771f8f9, 0xb4c8b755, 0x3ff981c6, 0xefb7855d, 0x8891a508,
+    0xcec61320, 0x8bc8b8c8, 0x50da7ca1, 0xfdcead47, 0x4fcbdda0, 0x496f8829, 0x0f258f1d, 0xb2e95eae,
+    0x92a293d2, 0x4303a1eb, 0xc88c5c76, 0x80161f15, 0x8514c983, 0x3ded85df, 0xca19ed1d, 0x7afb9d35,
+    0x72153d08, 0xe5e12b91, 0xf4d5badb, 0x190bdd32, 0xeba5c2cb, 0x2bc29851, 0xb5efb8d5, 0x3754ed4e,
+    0xbd8e118a, 0xb9097a7d, 0x254165fa, 0xda50f5b7, 0x5f676d20, 0xe1b318a2, 0x07f85c6f, 0x5c66b63e,
+    0x1d5b261f, 0x9f2163c8, 0x2f220bb2, 0x036f1318, 0x37096054, 0xccbcf290, 0x32c902cb, 0x3e6276e5,
+    0xbb747948, 0xabc57020, 0x33849541, 0x4c1454dc, 0x7dc2ace0, 0xb4eb33e7, 0x6985012f, 0x0ed3e124,
+    0x3ba969e4, 0x7b5da44e, 0x7c414c7d, 0xb62072a5, 0x1bf974ba, 0x5dff964c, 0x7dc57e33, 0x8ce951b4,
+    0xbc67df89, 0xdea76aab, 0x50c07ddb, 0x56d7d3b7, 0xdf8882e2, 0x01e7c703, 0xbdffda05, 0xf5c7a276,
+    0x5c40ea23, 0x70c58bc1, 0xbcbad004, 0x972f7817, 0xc8df2f18, 0x7132ebc5, 0x12a3557d, 0xc1ba93ec,
+    0xe44eadc6, 0x0d58b751, 0x0cd6447b, 0xda53721f, 0xc3615baa, 0x96417254, 0x58a0a39d, 0x28f8409b,
+    0x7c6ba78d, 0x99aebad8, 0xc04e3d83, 0xfeeb02ec, 0x047d0ce3, 0xe96a1f2e, 0x4b60f465, 0x342462f7,
+    0xe71879a1, 0xa51a3644, 0x7c73bf56, 0x90d51441, 0x2d0a28c8, 0x4af20669, 0x03dec823, 0x0e38339b,
+    0x88dfa9a2, 0x28eaeb31, 0xe8da5527, 0xd00e27df, 0x3de7292a, 0x57f00d58, 0x0dfd9f4c, 0x2c135865,
+    0xb3d2cc4a, 0x42224443, 0x69d01fbd, 0xbbbc06b1, 0xd0b6e179, 0x064defcb, 0x93d753f8, 0x0e5269c9,
+    0x25e2e607, 0x8880efca, 0xd6895bea, 0xc4ee4949, 0x29408cc0, 0x1833904c, 0x258a6f84, 0x3ad06cf6,
+    0xd4b676c5, 0xaddbec16, 0xc1af18dd, 0xd0131ff6, 0xcff56c83, 0x53fe9dc7, 0x9e427cfd, 0x26037e1f,
+    0xcc795a12, 0x54086173, 0xaac34e6e, 0x4709a720, 0x93e31eac, 0x567e6f39, 0x4804744c, 0xd15f1f74,
+    0x6f612226, 0x3efecafe, 0x16f658c6, 0x83f90685, 0xcf284301, 0x360fbb64, 0x1c5ac57c, 0xb9017095,
+    0xa9339b8f, 0x5066fd92, 0x539bef5d, 0x1fb702d8, 0x23eeeae0, 0x5defb24a, 0xa590841e, 0x79f24285,
+    0xf8c2fc9d, 0xdee6c9c2, 0x3e11ada8, 0x7db1c68e, 0x89db44d7, 0x6ed567f4, 0x237a02b5, 0x6c71eb27,
+    0xadf5abac, 0x56932bb3, 0x79e02266, 0x24378e59, 0xb03d25ec, 0x583243a5, 0xafd4eda2, 0x3758a6ad,
+    0x0c651ad8, 0x09ef4527, 0xc2687642, 0x6aaacb6b, 0xd9cd5b61, 0x3dfa1934, 0xab6db489, 0x3121b1ec,
+    0x21563214, 0xb1e00d7f, 0x52fbdde1, 0x3ec66570, 0x169720a6, 0x62a0e140, 0x6f5de8ac, 0x67598ce1,
+    0x67189797, 0xe88de816, 0x08e94181, 0xb92d3f25, 0x306689d3, 0x672c87f5, 0xeed3f9b6, 0x713bd61b,
+    0x3ac97343, 0x6712242e, 0xd93f2481, 0x5c48f85b, 0x4acbb5b7, 0x46055485, 0x09fb380b, 0x6386e39e,
+    0x045eb81d, 0xb71bf59b, 0x27cc4200, 0xfc7e7bc1, 0x54f6dde1, 0xfefcddd3, 0x732bf2db, 0x4e9a6434,
+    0x87de32b6, 0x15c548ee, 0x8cb3232e, 0xc1f86515, 0x61645015, 0x43a1fda6, 0x573a7214, 0x8d25c4a5,
+    0xd0a32635, 0x65a66552, 0xea4d80bf, 0xee4d577c, 0xd99f9e40, 0x4c939acb, 0x135439b4, 0x9f8c97dd,
+    0x4492fe8c, 0xd5b57c69, 0xe3e1a674, 0x7560637d, 0x2cf3d134, 0x4b05a63f, 0x87e625e8, 0x685d17e2,
+    0xf594f4c1, 0xba73e6ca, 0xda28f42b, 0x8c22a414, 0x4d8377ff, 0xf274f99e, 0x879eef02, 0x6b103aee,
+    0x322a4e72, 0x39b627b5, 0xfddf4b35, 0x2addfc8d, 0x14cbf8b4, 0x19a61ecc, 0x6302b7e3, 0xe32b095c,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000016 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffe4,
+    0x00000000,
+    0xabcc7711, 0x8461cefc, 0xfdc20d2b, 0x36ba7c3d, 0x3d4d3d75, 0x8161697c, 0x7068f3b4, 0x6d2f8350,
+    0x5705755f, 0xd37a3b04, 0x8dd94703, 0x9f9cbde6, 0x55091bdd, 0x8125039a, 0x94406951, 0xa83e4d17,
+    0xb5d437d0, 0x25f2addc, 0xf289cac4, 0x89dd3900, 0xa79ab929, 0x56e66baf, 0x50901058, 0xe8a46eb4,
+    0xbe8e1ab5, 0x62f8c8a9, 0x26aa63c1, 0x45851a5b, 0xa0e59342, 0x3c907f13, 0xb162b907, 0xc8f72a43,
+    0x7575a2ef, 0x58bddc44, 0x0e21d6bf, 0x69e2c7b5, 0xe1a3c973, 0x5105811e, 0x4d9ded91, 0x3d7f925c,
+    0x63833224, 0x14874b8e, 0x48d88bf2, 0xbcf66b00, 0xd4e7228e, 0x754e35c3, 0x0578bad1, 0xcd929a76,
+    0xe437f869, 0xde95f7f9, 0x764e1003, 0x584f217b, 0x4fd783b5, 0x00d339a3, 0x64c98341, 0x3d8cfe55,
+    0xb0e189c8, 0x404b1eb7, 0x5038d284, 0x71bf3509, 0xa2153e2a, 0xb306fdf6, 0x0f914288, 0x0fd966e4,
+    0x0fb47df6, 0x7af10cf3, 0x02968842, 0x2e4dc631, 0x7d259a99, 0x48e6ceab, 0x9f2aa81f, 0x436732ea,
+    0x0d2480bd, 0xd58e117b, 0x279397cc, 0xe5cc4d20, 0x1950082b, 0x1cb94937, 0x56836f60, 0xb5f849fe,
+    0x25e03966, 0x28281242, 0xcdaff6a8, 0x3d765820, 0xfe5255e3, 0x3670aa62, 0x13c65b6e, 0x90ac601a,
+    0xc7d76f93, 0x0adf2c1f, 0xee87dd84, 0x8001edeb, 0xd6525c99, 0x3317598d, 0xe5dc3d58, 0x2530103e,
+    0x10b1d3f8, 0x0f45c32d, 0xbca6b9e8, 0x9986fa2f, 0xb1737fff, 0x69ad17d0, 0xac2a6ae2, 0xa1f6347a,
+    0x301cd34a, 0x6a5c6a39, 0x2ecac3b3, 0x1da42ac2, 0x20766d19, 0xb3db394c, 0x26f50c5c, 0x03e1e1dc,
+    0xd456d9d6, 0x7598079e, 0x2eff9cd8, 0xbe47a3d8, 0x8cc97c8b, 0x40e64f29, 0xdecba7de, 0xabc76e94,
+    0x075e6e1f, 0x6d589dfb, 0xd3f661c6, 0x9981f1b2, 0x34701f21, 0xd943a8a1, 0x4966506b, 0xfe2ae8b6,
+    0xe32b88ef, 0xd3371f26, 0x0b0190ce, 0xc4c99e19, 0x3027bb04, 0xf939116e, 0x9259df44, 0x73a26418,
+    0x83599140, 0xda90afbb, 0x191b2f05, 0x7c15d020, 0xea305fef, 0x28ed3420, 0x6e099de3, 0x8042858b,
+    0x9aa8625f, 0x45b5c1c3, 0x595b90f5, 0x5b365c88, 0x6c1fb8d7, 0xf84f06a3, 0x5d3cc705, 0xb87bb1fd,
+    0x12bac2b4, 0x1a236cc1, 0x9f472d91, 0x07cfad26, 0xea24a175, 0x053aa770, 0xc7be451f, 0x99ce47cc,
+    0x1c78b197, 0x922d699a, 0xa359e1c8, 0xb260e5c8, 0xf221c5f8, 0x724211c8, 0x546d14ab, 0x5dbc48c6,
+    0x177bf294, 0xb27f18b9, 0xe0360b29, 0xd4baace4, 0xa505b373, 0x34800f59, 0xe523b0b4, 0x3d5edb2c,
+    0xb6ed3c83, 0xe9d9f8da, 0x46dddfef, 0x944cfe8b, 0x60c6bf41, 0x9edbcdc6, 0x9cdcf005, 0x8c06082c,
+    0xca3872e3, 0x2177f4d9, 0x305d6aea, 0x2eb26fff, 0x41692be8, 0x91237e5f, 0x567cb964, 0x0f491e2c,
+    0x0ffe4fd1, 0xa477eef9, 0xf34b91a3, 0xd6df4a52, 0xdf75f1c9, 0xb1646686, 0xf2a2f537, 0xfaee1d54,
+    0x79a9e516, 0x44baf000, 0x83888b29, 0x695ae279, 0xb2489215, 0x15e6c71e, 0xe2ef230d, 0xf70e94c3,
+    0x46105a96, 0x23986089, 0x82a02ddd, 0x5de9952f, 0x7c9a5a5e, 0xc6340164, 0x591af955, 0x96e056c2,
+    0x598150a2, 0x84cfb306, 0x27367abb, 0x5d0dcd1d, 0x29b17f3e, 0x798d5fa4, 0x805275c3, 0xa6886a72,
+    0x39ae4c84, 0x121de4c2, 0x61e4cc72, 0xdfc679a1, 0x819a745f, 0xf939e82e, 0x272fc4be, 0xb65ea14b,
+    0x13cf95a9, 0xf5dd3c5b, 0xa5ee10bf, 0x3ff15ca4, 0x1ad1e86a, 0x8d11a0e7, 0x40c1663c, 0x4a0836db,
+    0x336ce9e3, 0x3315ac0e, 0xbc307263, 0x9fb795d8, 0xefc5cb25, 0xd8aca9ec, 0xa300f675, 0x11cfe129,
+    0x50306f08, 0xa1643e43, 0x06bada31, 0x0e6ad1da, 0xfe93c442, 0x8f9c95a2, 0x692100d6, 0x94a1b821,
+    0x192a487d, 0xf31ff2b9, 0x9b6cad7d, 0x51398384, 0x596b812d, 0x6716649b, 0x60184398, 0xb1115a70,
+    0x63eb36f0, 0x2c2272c6, 0x9c063070, 0xb6208dea, 0x0dfb4052, 0xab738bbd, 0xe3d0ca5d, 0x5bd0b63b,
+    0x65dca8b7, 0xef9b02fb, 0x320ff291, 0x5780c562, 0x4a4d0038, 0xdff06b0c, 0x93614641, 0x01fddc0e,
+    0x5e3ca146, 0x0b5218a6, 0x94ffabf2, 0x36beadfb, 0x257ab8d8, 0xcf0e9b79, 0x42b709c1, 0xf5ae4273,
+    0x1723de00, 0xa6c3f994, 0x8100f16c, 0x9452ddc8, 0x72a00599, 0x72017a28, 0x90170ee5, 0x4b1de090,
+    0xa3fc9ef7, 0x7c78cc6f, 0x84c82649, 0xebb1696f, 0x046fa656, 0x158b578c, 0x83dc6dff, 0x8ce8863b,
+    0xc3d079d5, 0x8400802d, 0x8cd611c4, 0xf96ec153, 0xc7d33dd5, 0x22b1b0bc, 0xa0daab87, 0xadb3d7de,
+    0x4dd39d76, 0x72f8f0ed, 0x12927ec8, 0x320865d5, 0x1bfbb415, 0xf1aed971, 0xcbca435a, 0x9db0549c,
+    0x0e93ec86, 0x7b84b0a9, 0x55a44c50, 0x0fb7d8f4, 0xce48a2dc, 0x0d877d0c, 0x7025d7d5, 0xea57cd1b,
+    0x7c325592, 0xae98da2c, 0x05ed54d7, 0x9db633d9, 0x206d32de, 0x4eaa5d0b, 0x48de6b2f, 0xcecfb158,
+    0xa80ccef0, 0x688854a2, 0xc4909335, 0xa756c68b, 0x3f38d000, 0x3300b359, 0x334d0973, 0x1b559be8,
+    0xd43f5ce2, 0x2e32ee3e, 0xe268eb50, 0xf15f2859, 0x906a1afb, 0xd9d59ed8, 0x72c84985, 0x5a1c8115,
+    0x13628860, 0x613eb445, 0xc256fd11, 0xe4031f44, 0x3df27ee3, 0x09fb0091, 0xcb440b9d, 0x9800e832,
+    0x58edacec, 0x31c1eef8, 0x45cc67f8, 0x0beac4da, 0x6510d0dd, 0xa8922fed, 0xd961db92, 0x377a959d,
+    0x60a383d3, 0x33c427b7, 0xa9fae5b9, 0xd8a94eee, 0x4fa9608c, 0x06deec5f, 0x0e585d64, 0x34320bc0,
+    0xd36f5349, 0xfefc9fce, 0x3c0da254, 0xff0ae287, 0x1e41df73, 0x6d8af2e2, 0xb6182a6e, 0x3da0498c,
+    0x101927c4, 0x3f349e42, 0x4ad337f5, 0xe59fd776, 0x490785db, 0x4bc09dbf, 0x6e14859e, 0x0f1f2cc0,
+    0xfe377df0, 0x9bb3fb19, 0xbc3eb51c, 0x81ebd2f7, 0x5e45db81, 0x7082f4e7, 0x73164d1e, 0x6bd0de7f,
+    0x51c4c3be, 0xdc1e4e74, 0xad261365, 0x0c9f1fc0, 0x64b48a8b, 0xb4a99565, 0x2c7f8fd8, 0x24c4b073,
+    0xa5bf16d6, 0xb12729e5, 0x81a4855a, 0xf340a9e9, 0x4802a31d, 0x7be6d638, 0x5b662d30, 0x8fbfd110,
+    0xd438a6e5, 0x8783c26c, 0xcc8701bc, 0x6daf0510, 0xb605b5f7, 0x733e910a, 0x53ebe56b, 0xd5103d39,
+    0xf23f2229, 0xcb80717f, 0x74297295, 0x1ddee324, 0xd2f32c87, 0xf353f51f, 0xa73a4119, 0x7ad055c3,
+    0x560092a2, 0x03a0737d, 0x7b2aee96, 0x203d6236, 0x2b0a44d2, 0x6cf4caed, 0xa488b5f1, 0x94017f31,
+    0x0d941246, 0x28ae49ff, 0xd35f6311, 0xf31c97bb, 0x48151794, 0x46488eba, 0x17936f88, 0xf9e43219,
+    0x2cccbcb1, 0xa1a32863, 0xa1651502, 0x9b90bfab, 0x51270f0d, 0x8f09c8ab, 0xaae92242, 0xf5f3e290,
+    0x587d44a4, 0x49cbd0f9, 0x57445f80, 0x6e2475d6, 0x1aff34d3, 0xf23008b1, 0x54764ee6, 0xc2ed2506,
+    0xf59293c0, 0xe791493e, 0x0c80160f, 0xe1ca5fe0, 0x0f74bd16, 0x4b70eca7, 0x32b45d3f, 0x4b4476fd,
+    0x626bdaef, 0x7a4bcb85, 0x79fcf12c, 0xd372ae48, 0x525435b7, 0x46fe971f, 0x40e2f42b, 0x8b7411f5,
+    0xa0d679c9, 0xc5865c7b, 0x00266b79, 0xa0aadadf, 0x8a13bfa5, 0x71e9fd34, 0x48b1f585, 0xfe872f08,
+    0xd7142378, 0x80196ae0, 0x1db775f8, 0x7fae0b15, 0xb2c4b8d7, 0x218f71cd, 0x77c28449, 0x7b492187,
+    0x0e51a767, 0x8d82dfee, 0xbd8d69b5, 0x7b4c7c85, 0x61a93d50, 0x9873d4b8, 0xff657b59, 0xe87eaf07,
+    0x94f4c437, 0xa7e206c5, 0xc1eb9d47, 0x79106222, 0xdfd3e59a, 0xcef8cc04, 0x24fdbb57, 0x2e900b50,
+    0x6b276b53, 0xe0fdb146, 0x3396048e, 0xb0069875, 0x82382911, 0x464e6df7, 0x296cb5e0, 0xcd09de7b,
+    0x2006db91, 0x60bb00c7, 0x7b294116, 0xf6919741, 0xa591ca6d, 0x4c08c21b, 0x6def9cb0, 0x7a5bbbbd,
+    0x85dcf93f, 0xc76b3909, 0x0b168984, 0x4dad0709, 0xb489b4f5, 0x14bf7fb2, 0x3cd39af2, 0x343a6f3c,
+    0xa3ca4a10, 0x9a5703c7, 0xe0a9ce70, 0x100860cc, 0x9e7eb0b5, 0x141e7002, 0x9c677f40, 0x270c8950,
+    0x4b46fb3c, 0x20ed8b5e, 0x4280831d, 0x2b5efe68, 0x25585429, 0xf8ccdae4, 0x92913ca8, 0xd2c78d9d,
+    0xb7e1584a, 0x18fdd2d4, 0x22d77069, 0xca740205, 0x68ca99c1, 0xb29263f0, 0x3f6da925, 0xd3a42c6f,
+    0x9fa018e4, 0xa860b1c6, 0x8c15f864, 0xd6187af6, 0x15707f99, 0xe91fbeb7, 0x3560dfe9, 0xb50fecb2,
+    0x1a6eec1b, 0xf279da8c, 0x7dfd30ed, 0xb3a22e68, 0x9e2417e2, 0x49e1a06e, 0x74fdadeb, 0x3542acf8,
+    0xc6fba780, 0xb7f650ff, 0xa1e13bc4, 0xa7396a59, 0xe5fa7049, 0x1344556f, 0x732a6f14, 0x5fde61f5,
+    0x936a807c, 0x672eb84f, 0x3c534272, 0x4064492a, 0xc149b6d8, 0x43ce60f6, 0x8fe9c27b, 0xe5ff78c6,
+    0x9047b64d, 0x0393de43, 0xc2a27c6c, 0x3735cc3f, 0xb42002a9, 0xd3788d85, 0x642d7c0f, 0x1a244381,
+    0x341d130b, 0x4a8bea59, 0x7a9aa5de, 0x20873411, 0x549126d9, 0x5da9d44f, 0x4d1a3a12, 0xf651d661,
+    0x7611aa21, 0x7c269718, 0x8ae64d7c, 0x5fa1fc13, 0xb741f619, 0xa23d8216, 0x9b2204e2, 0x92dcbc03,
+    0x25fa3a99, 0x2e0edc10, 0xe27b5fc7, 0xbbc0e0db, 0x4c975d54, 0x43f9ffe0, 0xcb5c5f51, 0x743be70b,
+    0xe8409ba6, 0x8f206ee0, 0x5d785627, 0xffce56e5, 0x94efbbba, 0x2adea5e8, 0x31822e18, 0x164c47ac,
+    0x3c0899d7, 0x820781a9, 0x8dd87044, 0x0ac6d86c, 0x124cdeaa, 0xf0aeff31, 0x78f3dcb1, 0x1b6b6b5d,
+    0xf1f8ab4c, 0xf5512561, 0x8e655dfd, 0xb72570a7, 0xddd507d9, 0xbe21e42b, 0x6330260d, 0x85cf8d46,
+    0x7a0ce164, 0xdf52b65b, 0x464cc077, 0xffc0eaec, 0x47916415, 0xff1ad2bf, 0x2a21e786, 0x61837da3,
+    0x6eda7e3b, 0x444eb976, 0x83bfe88d, 0xc8800bfe, 0xe6d0591e, 0x5453ea37, 0xecab6472, 0x456cc6a7,
+    0xc4aa9468, 0xad3d9059, 0x5404391f, 0xb14b3c13, 0x819210e4, 0x28def167, 0x8bd560c5, 0x11c27530,
+    0x02d21764, 0x75a06b19, 0xff5a939f, 0x59a207d2, 0x3165a8a6, 0x51e3cd6f, 0x5f087920, 0x525aebb3,
+    0xedadc2f1, 0x56c4ddc0, 0x0f24353e, 0x7b3adece, 0x2c1d6a49, 0x1f02cf93, 0x25b71eba, 0xab3725dc,
+    0x07a83ffa, 0x96df8002, 0xc4ab6b28, 0x421375d3, 0x96c07652, 0x41c1407c, 0x9cde9d84, 0xb5b1d321,
+    0x4fb0ed48, 0x4263fdab, 0x66f6842b, 0x48583372, 0xc92044ee, 0xf2668f56, 0x1ec592f1, 0xb4b8aedd,
+    0xa389b270, 0xd600fe01, 0xce0b663a, 0x9c890d2f, 0x6878646a, 0xb8b08b22, 0xb35e3bca, 0x86767c33,
+    0x2c52436e, 0xbfa648a9, 0x920a2e2c, 0x38423bb9, 0xbf7edb7d, 0x3ec50cb9, 0xf7b2ff71, 0x39d40c31,
+    0x3bb73b40, 0x1cfb8e56, 0x4485401b, 0x4e0f2c98, 0xba4b95d5, 0x94c777ce, 0x42c39efb, 0xae36b49d,
+    0x002b73f7, 0x1dae3bbd, 0x1a7d2ed4, 0xd4ae17aa, 0xec7d4149, 0x4b787963, 0x6e396e8b, 0xa3e29dc4,
+    0x769202a1, 0x6ffcbd2a, 0x6d66e0b4, 0xb62a9ee5, 0x0802020d, 0xcc466a1c, 0xa958ff4a, 0xa3674dc1,
+    0xffbf3d6d, 0x1de59921, 0x79a2585a, 0x0935deb4, 0x2aea6462, 0x5534bac7, 0xbc97a070, 0x227cd797,
+    0x00373271, 0x4160c86c, 0xc0c88798, 0xbb22556a, 0x6aacf210, 0xff00d18c, 0x243b1db8, 0x4cb81483,
+    0xf08ff580, 0xf609b205, 0x7636930f, 0x10ea081c, 0x0340d22d, 0x33eabe24, 0x686a21b1, 0xd67c4e04,
+    0x44de2b6e, 0xeea03138, 0x5c3cecc5, 0x65a54b53, 0x9075d975, 0xfd882b88, 0x1913a249, 0x4090bed4,
+    0x91923928, 0x14c70c6e, 0x7858ac3e, 0x8cd89603, 0xb7f071c2, 0x9007f56c, 0xd413bdf7, 0xf2c05169,
+    0x542c7d0b, 0x99664300, 0x04dd8a5f, 0x3effc51c, 0xaa2fbedf, 0x794cc804, 0xbbfc6ffd, 0x93ea023c,
+    0xc62ef8e6, 0xdc179878, 0x0676e792, 0xf6bd362b, 0xe1046742, 0xda453060, 0xc5e8820a, 0x05e84c5a,
+    0x20b2d2fb, 0x9003c3ae, 0xebe64294, 0xa5131f6c, 0x81de66fe, 0x10e783dd, 0x44bf21be, 0x6bb6068c,
+    0xb7081476, 0x8496a822, 0x9e658641, 0xa30d8bae, 0xca585353, 0x393804ff, 0x184e806b, 0xa0371799,
+    0x4ec60bbd, 0x7870fff2, 0x691394dd, 0x4743607c, 0xed667554, 0xebbfac27, 0xe6a3e374, 0x840b67e8,
+    0x1bb2b8fa, 0x5cfddce5, 0x1dd1772b, 0x8594d4e3, 0xc79021f6, 0x9fd9fa87, 0xc6078bba, 0x88d27705,
+    0xc5e7ab4a, 0x711266df, 0xddf695c8, 0xff8dbf45, 0xd099b5f4, 0x18403db2, 0xbe02da7a, 0xe045fb61,
+    0xe09ab4f7, 0x98fe3e33, 0xed426326, 0xebd2209e, 0xb1059bf6, 0x4038aa40, 0x85d71a02, 0xb591f2b1,
+    0x37f0dd22, 0x5a72e829, 0xf571dc91, 0x3afb539d, 0xe1d2c35b, 0xdfcfb3dc, 0xe6cb50a0, 0xd750895a,
+    0x5c41f542, 0xe2a8ac31, 0x20df48a5, 0x604c45fe, 0xbcdeee0c, 0x8d82092f, 0x28b7843b, 0x38903f52,
+    0xd13338e7, 0x7d274818, 0x729299a0, 0x24a32284, 0x64533bbc, 0x43bd99fe, 0xef33d4ee, 0xaf4ab0d3,
+    0x470f5e16, 0xe198e1b8, 0xc228d9e8, 0xea0ed1ff, 0xe7815906, 0x00a00dfc, 0xedd1d51f, 0x56b26949,
+    0x44c27cbc, 0xbf0d9c75, 0xc1f90940, 0xc66eb9c7, 0x0b97b8c3, 0xd6591295, 0xd9c6855f, 0xfbbe26ec,
+    0xa8e03386, 0xeb1638fc, 0x75dcd0fb, 0xdb831e02, 0x1e933e0a, 0xd296e635, 0xff6b5a96, 0xfa57f55f,
+    0x681a7099, 0x9b1c25a5, 0x810375ab, 0x52d48e37, 0x3ad4bd31, 0x23638763, 0xe1fcb4c6, 0xf19685bd,
+    0xef8f4481, 0x0e5d65e1, 0xb1356c9e, 0x63d8c279, 0x61c0ba44, 0xdfd8ee18, 0x4bfc2ce1, 0xb5672a86,
+    0x915425c7, 0x0ef2b717, 0x2deefba0, 0xcabb4fa1, 0xd3cfcb59, 0xdb12b5ba, 0x369d200b, 0xe40eddbe,
+    0x61a50b92, 0xb0465955, 0xb1b8495d, 0x163098fa, 0x0c760514, 0xe7c39e24, 0xeea1deb7, 0x85e8b7b9,
+    0xeb1dc5b8, 0xb161e248, 0x342144c9, 0x32b965bc, 0xc847d7da, 0xf2d54a1e, 0xdd0fe5fc, 0x1dc83cf0,
+    0x2063f8a2, 0xe97980ca, 0x6ac7ca03, 0x99bd80d4, 0x7bc2c40a, 0x5b78a1a7, 0x5a218992, 0x9065e93d,
+    0xf1a82375, 0x251b1788, 0x87ce6b07, 0x8ae3c93d, 0xa1204ba4, 0xef0d3e81, 0xf0db74db, 0x493c5f00,
+    0xec6416d5, 0xda67950f, 0x9c2a429e, 0xb60e1973, 0x439987d0, 0xef464965, 0x79ac6955, 0x033ca06f,
+    0x4bbd42c1, 0x1abcefb5, 0x042e37f6, 0xbc5f6c4c, 0x2e81c897, 0x88f32e35, 0x727da0ea, 0x9bbfb993,
+    0xdff141cc, 0x28372bbb, 0x44ba1940, 0xeeb2a5af, 0x269ea547, 0x21d28dab, 0xfa9a3a7e, 0x561c4154,
+    0x33330840, 0x156ed21a, 0xbf73f3c2, 0xafe86584, 0x9423e3df, 0xe3d5d2da, 0xd8d41718, 0xf64617e7,
+    0x525f1d71, 0xd5db3e54, 0xa4720fbc, 0xe1724b4c, 0x03b99df0, 0xec3bd2e9, 0xf24c8e23, 0x18dec923,
+    0x9fed45be, 0x253f29b6, 0x87bbf690, 0xc08210bb, 0xe4f3094c, 0x84e8dd79, 0x98475f0f, 0x2f1cf90a,
+    0x1786038f, 0xac85da75, 0x0108e988, 0x9a42e1d1, 0xec9c4af9, 0xce62a40f, 0x136e46da, 0x84f140f4,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000008 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff1,
+    0x00000000,
+    0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb,
+    0x923a29c7, 0x79a6b50b, 0x0f27bb2f, 0xec56d5cf, 0xaacd9e83, 0xe425aee6, 0x31f8a090, 0x2de00d1b,
+    0x71758e21, 0x9652bd3c, 0x36113404, 0xea4a8c15, 0x4c985f06, 0xf6944673, 0x81d7dbf4, 0x87fcb923,
+    0xa29c779a, 0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42, 0x5aee631f, 0x8a0902de, 0x00d1b717,
+    0x58e21965, 0x2bd3c361, 0x13404ea4, 0xa8c154c9, 0x85f06f69, 0x4467381d, 0x7dbf487f, 0xcb923a29,
+    0xc779a6b5, 0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e, 0x83e425ae, 0xe631f8a0, 0x902de00d, 0x1b71758e,
+    0x219652bd, 0x3c361134, 0x04ea4a8c, 0x154c985f, 0x06f69446, 0x7381d7db, 0xf487fcb9, 0x23a29c77,
+    0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e, 0x425aee63, 0x1f8a0902, 0xde00d1b7, 0x1758e219,
+    0x652bd3c3, 0x6113404e, 0xa4a8c154, 0xc985f06f, 0x69446738, 0x1d7dbf48, 0x7fcb923a, 0x29c779a6,
+    0xb50b0f27, 0xbb2fec56, 0xd5cfaacd, 0x9e83e425, 0xaee631f8, 0xa0902de0, 0x0d1b7175, 0x8e219652,
+    0xbd3c3611, 0x3404ea4a, 0x8c154c98, 0x5f06f694, 0x467381d7, 0xdbf487fc, 0xb923a29c, 0x779a6b50,
+    0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8, 0x3e425aee, 0x631f8a09, 0x02de00d1, 0xb71758e2, 0x19652bd3,
+    0xc3611340, 0x4ea4a8c1, 0x54c985f0, 0x6f694467, 0x381d7dbf, 0x487fcb92, 0x3a29c779, 0xa6b50b0f,
+    0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4, 0x25aee631, 0xf8a0902d, 0xe00d1b71, 0x758e2196, 0x52bd3c36,
+    0x113404ea, 0x4a8c154c, 0x985f06f6, 0x94467381, 0xd7dbf487, 0xfcb923a2, 0x9c779a6b, 0x50b0f27b,
+    0xb2fec56d, 0x5cfaacd9, 0xe83e425a, 0xee631f8a, 0x0902de00, 0xd1b71758, 0xe219652b, 0xd3c36113,
+    0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb, 0x923a29c7, 0x79a6b50b, 0x0f27bb2f,
+    0xec56d5cf, 0xaacd9e83, 0xe425aee6, 0x31f8a090, 0x2de00d1b, 0x71758e21, 0x9652bd3c, 0x36113404,
+    0xea4a8c15, 0x4c985f06, 0xf6944673, 0x81d7dbf4, 0x87fcb923, 0xa29c779a, 0x6b50b0f2, 0x7bb2fec5,
+    0x6d5cfaac, 0xd9e83e42, 0x5aee631f, 0x8a0902de, 0x00d1b717, 0x58e21965, 0x2bd3c361, 0x13404ea4,
+    0xa8c154c9, 0x85f06f69, 0x4467381d, 0x7dbf487f, 0xcb923a29, 0xc779a6b5, 0x0b0f27bb, 0x2fec56d5,
+    0xcfaacd9e, 0x83e425ae, 0xe631f8a0, 0x902de00d, 0x1b71758e, 0x219652bd, 0x3c361134, 0x04ea4a8c,
+    0x154c985f, 0x06f69446, 0x7381d7db, 0xf487fcb9, 0x23a29c77, 0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa,
+    0xacd9e83e, 0x425aee63, 0x1f8a0902, 0xde00d1b7, 0x1758e219, 0x652bd3c3, 0x6113404e, 0xa4a8c154,
+    0xc985f06f, 0x69446738, 0x1d7dbf48, 0x7fcb923a, 0x29c779a6, 0xb50b0f27, 0xbb2fec56, 0xd5cfaacd,
+    0x9e83e425, 0xaee631f8, 0xa0902de0, 0x0d1b7175, 0x8e219652, 0xbd3c3611, 0x3404ea4a, 0x8c154c98,
+    0x5f06f694, 0x467381d7, 0xdbf487fc, 0xb923a29c, 0x779a6b50, 0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8,
+    0x3e425aee, 0x631f8a09, 0x02de00d1, 0xb71758e2, 0x19652bd3, 0xc3611340, 0x4ea4a8c1, 0x54c985f0,
+    0x6f694467, 0x381d7dbf, 0x487fcb92, 0x3a29c779, 0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4,
+    0x25aee631, 0xf8a0902d, 0xe00d1b71, 0x758e2196, 0x52bd3c36, 0x113404ea, 0x4a8c154c, 0x985f06f6,
+    0x94467381, 0xd7dbf487, 0xfcb923a2, 0x9c779a6b, 0x50b0f27b, 0xb2fec56d, 0x5cfaacd9, 0xe83e425a,
+    0xee631f8a, 0x0902de00, 0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944,
+    0x67381d7d, 0xbf487fcb, 0x923a29c7, 0x79a6b50b, 0x0f27bb2f, 0xec56d5cf, 0xaacd9e83, 0xe425aee6,
+    0x31f8a090, 0x2de00d1b, 0x71758e21, 0x9652bd3c, 0x36113404, 0xea4a8c15, 0x4c985f06, 0xf6944673,
+    0x81d7dbf4, 0x87fcb923, 0xa29c779a, 0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42, 0x5aee631f,
+    0x8a0902de, 0x00d1b717, 0x58e21965, 0x2bd3c361, 0x13404ea4, 0xa8c154c9, 0x85f06f69, 0x4467381d,
+    0x7dbf487f, 0xcb923a29, 0xc779a6b5, 0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e, 0x83e425ae, 0xe631f8a0,
+    0x902de00d, 0x1b71758e, 0x219652bd, 0x3c361134, 0x04ea4a8c, 0x154c985f, 0x06f69446, 0x7381d7db,
+    0xf487fcb9, 0x23a29c77, 0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e, 0x425aee63, 0x1f8a0902,
+    0xde00d1b7, 0x1758e219, 0x652bd3c3, 0x6113404e, 0xa4a8c154, 0xc985f06f, 0x69446738, 0x1d7dbf48,
+    0x7fcb923a, 0x29c779a6, 0xb50b0f27, 0xbb2fec56, 0xd5cfaacd, 0x9e83e425, 0xaee631f8, 0xa0902de0,
+    0x0d1b7175, 0x8e219652, 0xbd3c3611, 0x3404ea4a, 0x8c154c98, 0x5f06f694, 0x467381d7, 0xdbf487fc,
+    0xb923a29c, 0x779a6b50, 0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8, 0x3e425aee, 0x631f8a09, 0x02de00d1,
+    0xb71758e2, 0x19652bd3, 0xc3611340, 0x4ea4a8c1, 0x54c985f0, 0x6f694467, 0x381d7dbf, 0x487fcb92,
+    0x3a29c779, 0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4, 0x25aee631, 0xf8a0902d, 0xe00d1b71,
+    0x758e2196, 0x52bd3c36, 0x113404ea, 0x4a8c154c, 0x985f06f6, 0x94467381, 0xd7dbf487, 0xfcb923a2,
+    0x9c779a6b, 0x50b0f27b, 0xb2fec56d, 0x5cfaacd9, 0xe83e425a, 0xee631f8a, 0x0902de00, 0xd1b71758,
+    0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb, 0x923a29c7,
+    0x79a6b50b, 0x0f27bb2f, 0xec56d5cf, 0xaacd9e83, 0xe425aee6, 0x31f8a090, 0x2de00d1b, 0x71758e21,
+    0x9652bd3c, 0x36113404, 0xea4a8c15, 0x4c985f06, 0xf6944673, 0x81d7dbf4, 0x87fcb923, 0xa29c779a,
+    0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42, 0x5aee631f, 0x8a0902de, 0x00d1b717, 0x58e21965,
+    0x2bd3c361, 0x13404ea4, 0xa8c154c9, 0x85f06f69, 0x4467381d, 0x7dbf487f, 0xcb923a29, 0xc779a6b5,
+    0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e, 0x83e425ae, 0xe631f8a0, 0x902de00d, 0x1b71758e, 0x219652bd,
+    0x3c361134, 0x04ea4a8c, 0x154c985f, 0x06f69446, 0x7381d7db, 0xf487fcb9, 0x23a29c77, 0x9a6b50b0,
+    0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e, 0x425aee63, 0x1f8a0902, 0xde00d1b7, 0x1758e219, 0x652bd3c3,
+    0x6113404e, 0xa4a8c154, 0xc985f06f, 0x69446738, 0x1d7dbf48, 0x7fcb923a, 0x29c779a6, 0xb50b0f27,
+    0xbb2fec56, 0xd5cfaacd, 0x9e83e425, 0xaee631f8, 0xa0902de0, 0x0d1b7175, 0x8e219652, 0xbd3c3611,
+    0x3404ea4a, 0x8c154c98, 0x5f06f694, 0x467381d7, 0xdbf487fc, 0xb923a29c, 0x779a6b50, 0xb0f27bb2,
+    0xfec56d5c, 0xfaacd9e8, 0x3e425aee, 0x631f8a09, 0x02de00d1, 0xb71758e2, 0x19652bd3, 0xc3611340,
+    0x4ea4a8c1, 0x54c985f0, 0x6f694467, 0x381d7dbf, 0x487fcb92, 0x3a29c779, 0xa6b50b0f, 0x27bb2fec,
+    0x56d5cfaa, 0xcd9e83e4, 0x25aee631, 0xf8a0902d, 0xe00d1b71, 0x758e2196, 0x52bd3c36, 0x113404ea,
+    0x4a8c154c, 0x985f06f6, 0x94467381, 0xd7dbf487, 0xfcb923a2, 0x9c779a6b, 0x50b0f27b, 0xb2fec56d,
+    0x5cfaacd9, 0xe83e425a, 0xee631f8a, 0x0902de00, 0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8,
+    0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb, 0x923a29c7, 0x79a6b50b, 0x0f27bb2f, 0xec56d5cf,
+    0xaacd9e83, 0xe425aee6, 0x31f8a090, 0x2de00d1b, 0x71758e21, 0x9652bd3c, 0x36113404, 0xea4a8c15,
+    0x4c985f06, 0xf6944673, 0x81d7dbf4, 0x87fcb923, 0xa29c779a, 0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac,
+    0xd9e83e42, 0x5aee631f, 0x8a0902de, 0x00d1b717, 0x58e21965, 0x2bd3c361, 0x13404ea4, 0xa8c154c9,
+    0x85f06f69, 0x4467381d, 0x7dbf487f, 0xcb923a29, 0xc779a6b5, 0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e,
+    0x83e425ae, 0xe631f8a0, 0x902de00d, 0x1b71758e, 0x219652bd, 0x3c361134, 0x04ea4a8c, 0x154c985f,
+    0x06f69446, 0x7381d7db, 0xf487fcb9, 0x23a29c77, 0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e,
+    0x425aee63, 0x1f8a0902, 0xde00d1b7, 0x1758e219, 0x652bd3c3, 0x6113404e, 0xa4a8c154, 0xc985f06f,
+    0x69446738, 0x1d7dbf48, 0x7fcb923a, 0x29c779a6, 0xb50b0f27, 0xbb2fec56, 0xd5cfaacd, 0x9e83e425,
+    0xaee631f8, 0xa0902de0, 0x0d1b7175, 0x8e219652, 0xbd3c3611, 0x3404ea4a, 0x8c154c98, 0x5f06f694,
+    0x467381d7, 0xdbf487fc, 0xb923a29c, 0x779a6b50, 0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8, 0x3e425aee,
+    0x631f8a09, 0x02de00d1, 0xb71758e2, 0x19652bd3, 0xc3611340, 0x4ea4a8c1, 0x54c985f0, 0x6f694467,
+    0x381d7dbf, 0x487fcb92, 0x3a29c779, 0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4, 0x25aee631,
+    0xf8a0902d, 0xe00d1b71, 0x758e2196, 0x52bd3c36, 0x113404ea, 0x4a8c154c, 0x985f06f6, 0x94467381,
+    0xd7dbf487, 0xfcb923a2, 0x9c779a6b, 0x50b0f27b, 0xb2fec56d, 0x5cfaacd9, 0xe83e425a, 0xee631f8a,
+    0x0902de00, 0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d,
+    0xbf487fcb, 0x923a29c7, 0x79a6b50b, 0x0f27bb2f, 0xec56d5cf, 0xaacd9e83, 0xe425aee6, 0x31f8a090,
+    0x2de00d1b, 0x71758e21, 0x9652bd3c, 0x36113404, 0xea4a8c15, 0x4c985f06, 0xf6944673, 0x81d7dbf4,
+    0x87fcb923, 0xa29c779a, 0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42, 0x5aee631f, 0x8a0902de,
+    0x00d1b717, 0x58e21965, 0x2bd3c361, 0x13404ea4, 0xa8c154c9, 0x85f06f69, 0x4467381d, 0x7dbf487f,
+    0xcb923a29, 0xc779a6b5, 0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e, 0x83e425ae, 0xe631f8a0, 0x902de00d,
+    0x1b71758e, 0x219652bd, 0x3c361134, 0x04ea4a8c, 0x154c985f, 0x06f69446, 0x7381d7db, 0xf487fcb9,
+    0x23a29c77, 0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e, 0x425aee63, 0x1f8a0902, 0xde00d1b7,
+    0x1758e219, 0x652bd3c3, 0x6113404e, 0xa4a8c154, 0xc985f06f, 0x69446738, 0x1d7dbf48, 0x7fcb923a,
+    0x29c779a6, 0xb50b0f27, 0xbb2fec56, 0xd5cfaacd, 0x9e83e425, 0xaee631f8, 0xa0902de0, 0x0d1b7175,
+    0x8e219652, 0xbd3c3611, 0x3404ea4a, 0x8c154c98, 0x5f06f694, 0x467381d7, 0xdbf487fc, 0xb923a29c,
+    0x779a6b50, 0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8, 0x3e425aee, 0x631f8a09, 0x02de00d1, 0xb71758e2,
+    0x19652bd3, 0xc3611340, 0x4ea4a8c1, 0x54c985f0, 0x6f694467, 0x381d7dbf, 0x487fcb92, 0x3a29c779,
+    0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4, 0x25aee631, 0xf8a0902d, 0xe00d1b71, 0x758e2196,
+    0x52bd3c36, 0x113404ea, 0x4a8c154c, 0x985f06f6, 0x94467381, 0xd7dbf487, 0xfcb923a2, 0x9c779a6b,
+    0x50b0f27b, 0xb2fec56d, 0x5cfaacd9, 0xe83e425a, 0xee631f8a, 0x0902de00, 0xd1b71758, 0xe219652b,
+    0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb, 0x923a29c7, 0x79a6b50b,
+    0x0f27bb2f, 0xec56d5cf, 0xaacd9e83, 0xe425aee6, 0x31f8a090, 0x2de00d1b, 0x71758e21, 0x9652bd3c,
+    0x36113404, 0xea4a8c15, 0x4c985f06, 0xf6944673, 0x81d7dbf4, 0x87fcb923, 0xa29c779a, 0x6b50b0f2,
+    0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42, 0x5aee631f, 0x8a0902de, 0x00d1b717, 0x58e21965, 0x2bd3c361,
+    0x13404ea4, 0xa8c154c9, 0x85f06f69, 0x4467381d, 0x7dbf487f, 0xcb923a29, 0xc779a6b5, 0x0b0f27bb,
+    0x2fec56d5, 0xcfaacd9e, 0x83e425ae, 0xe631f8a0, 0x902de00d, 0x1b71758e, 0x219652bd, 0x3c361134,
+    0x04ea4a8c, 0x154c985f, 0x06f69446, 0x7381d7db, 0xf487fcb9, 0x23a29c77, 0x9a6b50b0, 0xf27bb2fe,
+    0xc56d5cfa, 0xacd9e83e, 0x425aee63, 0x1f8a0902, 0xde00d1b7, 0x1758e219, 0x652bd3c3, 0x6113404e,
+    0xa4a8c154, 0xc985f06f, 0x69446738, 0x1d7dbf48, 0x7fcb923a, 0x29c779a6, 0xb50b0f27, 0xbb2fec56,
+    0xd5cfaacd, 0x9e83e425, 0xaee631f8, 0xa0902de0, 0x0d1b7175, 0x8e219652, 0xbd3c3611, 0x3404ea4a,
+    0x8c154c98, 0x5f06f694, 0x467381d7, 0xdbf487fc, 0xb923a29c, 0x779a6b50, 0xb0f27bb2, 0xfec56d5c,
+    0xfaacd9e8, 0x3e425aee, 0x631f8a09, 0x02de00d1, 0xb71758e2, 0x19652bd3, 0xc3611340, 0x4ea4a8c1,
+    0x54c985f0, 0x6f694467, 0x381d7dbf, 0x487fcb92, 0x3a29c779, 0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa,
+    0xcd9e83e4, 0x25aee631, 0xf8a0902d, 0xe00d1b71, 0x758e2196, 0x52bd3c36, 0x113404ea, 0x4a8c154c,
+    0x985f06f6, 0x94467381, 0xd7dbf487, 0xfcb923a2, 0x9c779a6b, 0x50b0f27b, 0xb2fec56d, 0x5cfaacd9,
+    0xe83e425a, 0xee631f8a, 0x0902de00, 0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985,
+    0xf06f6944, 0x67381d7d, 0xbf487fcb, 0x923a29c7, 0x79a6b50b, 0x0f27bb2f, 0xec56d5cf, 0xaacd9e83,
+    0xe425aee6, 0x31f8a090, 0x2de00d1b, 0x71758e21, 0x9652bd3c, 0x36113404, 0xea4a8c15, 0x4c985f06,
+    0xf6944673, 0x81d7dbf4, 0x87fcb923, 0xa29c779a, 0x6b50b0f2, 0x7bb2fec5, 0x6d5cfaac, 0xd9e83e42,
+    0x5aee631f, 0x8a0902de, 0x00d1b717, 0x58e21965, 0x2bd3c361, 0x13404ea4, 0xa8c154c9, 0x85f06f69,
+    0x4467381d, 0x7dbf487f, 0xcb923a29, 0xc779a6b5, 0x0b0f27bb, 0x2fec56d5, 0xcfaacd9e, 0x83e425ae,
+    0xe631f8a0, 0x902de00d, 0x1b71758e, 0x219652bd, 0x3c361134, 0x04ea4a8c, 0x154c985f, 0x06f69446,
+    0x7381d7db, 0xf487fcb9, 0x23a29c77, 0x9a6b50b0, 0xf27bb2fe, 0xc56d5cfa, 0xacd9e83e, 0x425aee63,
+    0x1f8a0902, 0xde00d1b7, 0x1758e219, 0x652bd3c3, 0x6113404e, 0xa4a8c154, 0xc985f06f, 0x69446738,
+    0x1d7dbf48, 0x7fcb923a, 0x29c779a6, 0xb50b0f27, 0xbb2fec56, 0xd5cfaacd, 0x9e83e425, 0xaee631f8,
+    0xa0902de0, 0x0d1b7175, 0x8e219652, 0xbd3c3611, 0x3404ea4a, 0x8c154c98, 0x5f06f694, 0x467381d7,
+    0xdbf487fc, 0xb923a29c, 0x779a6b50, 0xb0f27bb2, 0xfec56d5c, 0xfaacd9e8, 0x3e425aee, 0x631f8a09,
+    0x02de00d1, 0xb71758e2, 0x19652bd3, 0xc3611340, 0x4ea4a8c1, 0x54c985f0, 0x6f694467, 0x381d7dbf,
+    0x487fcb92, 0x3a29c779, 0xa6b50b0f, 0x27bb2fec, 0x56d5cfaa, 0xcd9e83e4, 0x25aee631, 0xf8a0902d,
+    0xe00d1b71, 0x758e2196, 0x52bd3c36, 0x113404ea, 0x4a8c154c, 0x985f06f6, 0x94467381, 0xd7dbf487,
+    0xfcb923a2, 0x9c779a6b, 0x50b0f27b, 0xb2fec56d, 0x5cfaacd9, 0xe83e425a, 0xee631f8a, 0x0902de00,
+    0xd1b71758, 0xe219652b, 0xd3c36113, 0x404ea4a8, 0xc154c985, 0xf06f6944, 0x67381d7d, 0xbf487fcb,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000004 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffff8,
+    0x00000000,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
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+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
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+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
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+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
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+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d,
+    0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3,
+    0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a,
+    0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70,
+    0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7, 0x0a3d70a3, 0xd70a3d70, 0xa3d70a3d, 0x70a3d70a, 0x3d70a3d7,
+    0x00000000 }, /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000002 */
+  { 0x00000000,
+    0x3fffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff,
+    0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xffffffff, 0xfffffffb,
+    0x00000000,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc,
+    0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccc, 0xcccccccd,
+    0x00000000 }  /* 10**-0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                          0000000000000000000000000000000000000000000000000000000000000000000000000001 */
+};
+
+#else  /* BITS_PER_EMUSHORT != 32 */
+#error ei_mtens_256_emu32msb.dfn: ERROR: Failed size of EMUSHORT data type.
+#endif /* BITS_PER_EMUSHORT == 32 */
+
+#endif /* __REAL_EINTERNAL_MTENS_256_32MSB */
diff --git a/mpu/etens/emu32768/ei_ptens_256_emu32lsb.dfn b/mpu/etens/emu32768/ei_ptens_256_emu32lsb.dfn
new file mode 100644
index 0000000..218c791
--- /dev/null
+++ b/mpu/etens/emu32768/ei_ptens_256_emu32lsb.dfn
@@ -0,0 +1,67208 @@
+
+#ifndef   __REAL_EINTERNAL_PTENS_256_32LSB
+#define   __REAL_EINTERNAL_PTENS_256_32LSB
+
+#if BITS_PER_EMUSHORT == 32
+
+static EMUSHORT _ei_tens_32768_[NTEN_32768+1][NPIR_32768] =
+{
+/*   lgw                   */
+/*   S i g n i f i c a n d */
+/*   hgw                   */
+/*   Exponent              */
+/*   Sign                  */
+  { 0x00000000,
+    0xd911efcd, 0x85a19444, 0x34b70cee, 0x9ec573f2, 0x919e041e, 0x5ebae777, 0x75d3eea9, 0xcf4138b2,
+    0x45db3be1, 0x879fd61f, 0xa791e99a, 0xe1408c03, 0xeb4244d3, 0xfddb6abb, 0x00706b39, 0x59f70995,
+    0xd94df71c, 0xd70ee414, 0xf2bd9849, 0xbe247651, 0xd95b047d, 0x8f33d1ad, 0x9630d5fb, 0x6a6e471f,
+    0xb7ef4b7a, 0xc237deee, 0xffc04190, 0x3ae0c02d, 0x638b9611, 0x9b47d434, 0xdd9d0a82, 0x90578800,
+    0xe6443471, 0xa25d450b, 0x39ba2894, 0xa75fa960, 0x6487fc14, 0x77838bcd, 0xa65f3e31, 0xc7b5a882,
+    0x44a0a098, 0x02a5ae8b, 0xef521d78, 0x100148fb, 0x6707e316, 0x0702df3e, 0xc5577af3, 0xa4f74ccf,
+    0xd754eba1, 0x477648e3, 0xb31af4b2, 0xf9f18095, 0x20bb7073, 0xd782fecd, 0xc5f6806e, 0xdfdf6452,
+    0xee8c3d00, 0x14ce4316, 0x775911ee, 0x93a0cab1, 0xc2957991, 0xd6b72f4c, 0x6681f45e, 0x88ede1e3,
+    0x92ab4a2c, 0x6f2b329e, 0x27a9a47a, 0x5277d0e2, 0x1fb3857f, 0x74e34362, 0xd45fc6de, 0x2764e38f,
+    0x12928c69, 0x535aa4f9, 0x68a7a3b6, 0x5d070571, 0x92b83453, 0xf883c0e6, 0xcc6b170a, 0x994b97ef,
+    0x19c8c226, 0x99b5e3e2, 0x018565c0, 0x15cfd5fe, 0xb8679b1a, 0xc41b12e6, 0x319f233f, 0xed4bbdcd,
+    0xf7ea1065, 0xf44f1bb8, 0xcb1768b9, 0x1f439de1, 0x449b6dd3, 0xdd8ee8d4, 0xd645ee72, 0x887bec6e,
+    0x657503d0, 0xa5594eab, 0x72921e60, 0xa5d54ee0, 0x8b432e6d, 0x0025abc2, 0x4030e48c, 0xe6542e79,
+    0xd17ea798, 0xbbb3cec4, 0xbe90a5e1, 0x03a3fffa, 0x583e4033, 0xe65ea1de, 0x0e03eb19, 0xd113d6ba,
+    0x67d8e62a, 0xe9c8d1a8, 0x3acc9b80, 0xd462e5b5, 0xe08edfcc, 0x57f525ee, 0xb1fe5d65, 0xe4b67975,
+    0xd7b04561, 0x3f04e8c5, 0x732782bd, 0x56b4947f, 0x5719a319, 0x7cf02b45, 0xacb6c81e, 0x4832802c,
+    0x4f7f09d1, 0x6adf98f1, 0xe5358b62, 0x600c27a0, 0x667e7e4d, 0x158c6e6f, 0xae476930, 0x71b539a4,
+    0x5ee01dd8, 0x29b1a431, 0xc80eb045, 0x477c8488, 0x99220a4b, 0x9e560e32, 0x688c5e92, 0xa5ddeefe,
+    0xe5863262, 0x96e48272, 0xc79609e5, 0x2aa84bb8, 0xdc993e81, 0x874b8af7, 0x958f55ab, 0x8cecdd79,
+    0xd8e652a9, 0x16b2c6c1, 0xc4a92583, 0x2af15336, 0x6480ee1e, 0xbf41d7d3, 0x59c3d587, 0xa666f4c7,
+    0x94c7eca6, 0x6b182e15, 0xe764311c, 0x436c61ff, 0x064ff429, 0xa4edf8ad, 0x9d774cc5, 0xcb07036b,
+    0xa06f88d3, 0x7f17f51d, 0x4f6054b8, 0xe22cf6a1, 0xbafed31c, 0x20408a61, 0xafb092ef, 0xd47bbb89,
+    0x204fa8b8, 0x1f210712, 0xf67ebe44, 0x60057724, 0x5baef099, 0x9dd512ec, 0xdc72b89f, 0x7495e390,
+    0xe7a5e3e7, 0x25149252, 0xf1f99241, 0x02d70cda, 0x59897605, 0x451a93c4, 0xffa891c2, 0x9e780339,
+    0x39da2a0d, 0x9c25f227, 0x36bbef4b, 0xe3dbc779, 0x325d0b74, 0x1f2a25b2, 0x9cffb88f, 0x3b7f18d1,
+    0xbd05eb3c, 0x88898746, 0xe60d1a74, 0x699e7c4e, 0x38e128f5, 0xf00d34f1, 0xf15429a5, 0x5ed9a052,
+    0x76ac5c04, 0x918cc483, 0xfe75640f, 0x631f86fa, 0xc52414a9, 0x948e1d62, 0x0553eaa2, 0x6e674329,
+    0xe1649050, 0x0f568fa0, 0x1918d50e, 0x9de6f682, 0xe55b7448, 0xde1cc4ef, 0xe8016123, 0xc70f5a10,
+    0xe95fca82, 0x3430aedd, 0x0067d6b1, 0xe67be7a2, 0xaaf56858, 0x236a3ee6, 0xe693f6ad, 0xec2a1aa7,
+    0xf293111f, 0x7b3d6e1c, 0xe376786e, 0x40128aad, 0x018ed627, 0x4d6d506e, 0x927da29a, 0x7cc5e371,
+    0x15a1223e, 0x5b798492, 0x93424fc6, 0x27987d31, 0x1584619b, 0x84cb8239, 0xc0fdd2c4, 0xe5b22fec,
+    0xd97b500a, 0xbf9c24ce, 0x835e1b00, 0xbd99fb53, 0x8e74d527, 0x297332df, 0x2b4c28f5, 0x703214df,
+    0xcb27694a, 0x5e52667e, 0x230e5fbc, 0xba686f15, 0xcab5c304, 0x76133be5, 0x6713ff3c, 0x6df1bc3e,
+    0xb78d50a8, 0xebdb983a, 0xdf978a5b, 0x5cde4976, 0x3aed4757, 0xed34484b, 0x405e4b64, 0x27c46fcd,
+    0x5a30f896, 0x71d11b74, 0x5cf7473c, 0x9429ac51, 0xcf5d5903, 0xd2a8d3e7, 0xf44dc16d, 0xec9c8832,
+    0xc1c5d92a, 0xb52d4b74, 0x9fb79df3, 0x4b7dbb4b, 0x548adda5, 0x44ffa33b, 0x90f66936, 0x8bffab47,
+    0x84c8c6d7, 0x1edec231, 0x51a4a60b, 0x7bba7a04, 0x5ff98ab9, 0x80a90aeb, 0xf0248a0a, 0x8479f2d7,
+    0x9904dd88, 0x9f092e2b, 0x14ebff76, 0x1eb95b40, 0x01bf72a8, 0x420bf421, 0xa0ba80a5, 0x45afe347,
+    0x7c722f29, 0xe83658f6, 0xfd0db5f6, 0xd558964e, 0x3099abca, 0x2dc394c9, 0xb2bc6707, 0x62864464,
+    0xcbfff685, 0xa66c7762, 0x3233ed9d, 0xb9bdec39, 0x212e89a2, 0x19b9c1c6, 0xd307efc9, 0x5b80306a,
+    0x5d4bcff9, 0x05f9d05e, 0xca38a94d, 0x8b1fbf87, 0x18255656, 0xae306edc, 0xf15a8a69, 0xeec3038b,
+    0x2e1f37bd, 0x0c005f2d, 0x86b68259, 0xf3cc0fac, 0x5541e220, 0x47150540, 0xebf0eaf1, 0x48313521,
+    0x5ff81e23, 0xd8e90b92, 0x761153d5, 0x58b7fdeb, 0x9d06bbda, 0x3affeaab, 0x46c5843c, 0xbe9a949e,
+    0xc0980f30, 0x14e063a1, 0x4cab5283, 0x8e51b0c0, 0xd6ec154e, 0x2a04a18b, 0xc3dc3ea8, 0xd175988e,
+    0x09ee7d8b, 0x3e3ae7df, 0x8a41529d, 0xc83ed10b, 0xd6bab37c, 0x99992170, 0x66c8d28c, 0xe38a92ac,
+    0xcfcfe758, 0x3f9ace48, 0x7127a990, 0x19fb4392, 0x2feba54c, 0x07011422, 0x64ac7fcc, 0x56488f58,
+    0x69c00d6a, 0xaca2d898, 0x5f156bc8, 0x750ca1c2, 0xa9d40021, 0x122eb021, 0xd2c5c859, 0xb4009d53,
+    0x917dce72, 0x85d11bb3, 0x75924638, 0x57196cdf, 0xaa10ecdf, 0x643d2e5c, 0xbc1ed477, 0xe75e0831,
+    0x32988e98, 0x56136114, 0x682a32df, 0xa37fa82e, 0x5878f07c, 0xccc771fe, 0xd560e7a6, 0xb9fdef18,
+    0x4ec43064, 0x777389b2, 0xa7d04a8f, 0x39e349cf, 0x6f4ea9aa, 0x902c6c77, 0xee39bd19, 0x80bfa560,
+    0xe6238c39, 0x1da05fb8, 0x185265d3, 0x3405b0a3, 0x205e2ed2, 0x46d661de, 0x4ea449ba, 0x9ed1c0b0,
+    0x70bb9169, 0x5c45ec46, 0x448d5c96, 0xcad71072, 0x3d27bd52, 0xf1121a2f, 0x6e7b040a, 0x77a35706,
+    0x58beb286, 0xebf5a995, 0xe46873c0, 0x9e7ebfc0, 0xd1c62344, 0x584b02b0, 0x22a037f1, 0x0c130388,
+    0x024e0f1d, 0x256a341a, 0x31e446ad, 0x5dbd4818, 0xeb406d48, 0x7069f970, 0x7ed4eb58, 0xf702adf3,
+    0xfb781754, 0x6130d27e, 0xd869b879, 0x440909b2, 0xabdbc97b, 0x788eadbe, 0xfb0df4d6, 0x39943ffb,
+    0x7f0e2c32, 0xa2074f2c, 0x54190960, 0x43317d45, 0x93d25cf4, 0x5ab07133, 0x63a0b8dd, 0x92437ffc,
+    0x526a2166, 0xcc49a138, 0x9f50bb54, 0xd60abdba, 0x568e6ece, 0x868c2530, 0x306e715d, 0x13460b35,
+    0xfd992c2a, 0xb8bcb85b, 0x3d60cf73, 0xe2c539b3, 0x0f20dcc2, 0x4dae8c19, 0x37134aba, 0xfd2235ba,
+    0x1cf301be, 0x710878de, 0x4a228c7b, 0x39051aeb, 0x44eac6e0, 0x7284cca9, 0xe5f94422, 0xea744627,
+    0x2a86553a, 0x7af65718, 0x91083ce7, 0x8fcbe4b2, 0xa9dadbcc, 0x051738d7, 0xb46af306, 0x6a7cad74,
+    0xe2cb8684, 0x8fd4fbf5, 0x50204978, 0x7747f222, 0x3cf8820b, 0xcb571c9a, 0xb8464bc4, 0xc1e20ae0,
+    0x11cce5f9, 0x857e660f, 0x0cf22c5b, 0xd7dc30ad, 0x1721e0e3, 0xd78adaf2, 0x3e547c74, 0xcc5ea9ac,
+    0x94d28b5b, 0x298c4cdf, 0x838979e1, 0x1c353cb3, 0xdcf6a1f0, 0x441774d3, 0x4b30d1ca, 0x0b872903,
+    0xd67b804b, 0xe6feb7f0, 0x84f0e17a, 0x8e5c50c7, 0x821d469d, 0xbbe1cb4f, 0x62d60d96, 0x5ed4ebee,
+    0x87267c43, 0x5586134e, 0x3dfe1a2a, 0xe7760478, 0x62883614, 0x92bbb994, 0x78675a48, 0x494b8832,
+    0x7647d9d6, 0xa54e70a9, 0x4bd04e4f, 0x89bff0b1, 0x3281b073, 0xf0915d48, 0x6ae4722b, 0x1d2234d0,
+    0xe89cf792, 0xc2f39520, 0x55b2e06f, 0xa5a0a361, 0x514a3aaa, 0xdc470737, 0xcdb2222c, 0xe923cccc,
+    0x646b970e, 0xd5c3d791, 0x76655c70, 0x62ea8728, 0x1e703292, 0xf4825236, 0x0f421f5a, 0x07d7927f,
+    0x54b32797, 0x09963524, 0x6f5cd720, 0x47a1ef0f, 0x009298f3, 0x66d30797, 0x57ce1270, 0x0bb064ed,
+    0xaadafc33, 0x1fc3b859, 0x8a2c26aa, 0x84ee0b30, 0xfd2a5f35, 0x97b17dba, 0xbaae8abc, 0x53ef511a,
+    0xe73a3af4, 0x6d17ddd7, 0x2766fae3, 0x24c34abf, 0x405e02c4, 0x2637c3e6, 0x874e4d1b, 0xa7706a80,
+    0x0e549edb, 0x47559d70, 0x184d518f, 0x1b1d4607, 0x14df4d7b, 0xb6bc53eb, 0xd65e7379, 0x9d2c63b8,
+    0xce7a5d4c, 0x03816260, 0x69a31982, 0xefc90e18, 0x824a714e, 0xcafa1b92, 0xf52e2234, 0xa90ae9ad,
+    0x46d37f6e, 0xeba3bf40, 0x56efe5de, 0x067c764a, 0x91d56d68, 0x7b1c4bf1, 0xf8f3dad3, 0x0c384fbc,
+    0x49275ed0, 0xf1217d4b, 0x5f42bc3b, 0x523ba0b4, 0xaf339ce0, 0xfcab97b5, 0x895c97e7, 0xa045c869,
+    0x2d16f7cf, 0xe7709b06, 0x5e65219b, 0x0adfea85, 0xf8ea4caf, 0xfb4ecdd3, 0x0ce6d0d4, 0xc882954b,
+    0xc8e00cbc, 0xd51899c0, 0x0003f167, 0xc0da0978, 0xe072ec2e, 0xe1a3e291, 0xc2ce4969, 0x8ebfef65,
+    0x8eb88449, 0x67c442f6, 0x00657b37, 0xff7fd3c5, 0x535c4313, 0x2ddbcf24, 0x664fad59, 0x379e4180,
+    0xe3efacc3, 0x35a8317c, 0xb6e01225, 0x41cff446, 0x2b57e31a, 0xc3a6f294, 0xeb2b2aee, 0x6b25567a,
+    0x39e12c2a, 0xd4308484, 0xb3f698f6, 0xafa6f33d, 0xd6a4e438, 0x3bf535b1, 0xf57e468a, 0xf33205d9,
+    0xffe5f745, 0x2abfb871, 0x0e38170f, 0x9860b0f6, 0x65200b02, 0x96400ead, 0x7e62e2a0, 0x3f6f4445,
+    0x1b28d783, 0xa1379f40, 0x7a89fe9a, 0x400edaaf, 0x793ee841, 0x4db38ea2, 0x2d979794, 0xc4d40de2,
+    0x508bb680, 0xe1a57c99, 0x02068425, 0x6a9e61f8, 0x1be70c1b, 0xff677c96, 0x3429dc87, 0x7ee43d97,
+    0x51477ee6, 0xd9ecbf91, 0xc9dea1b3, 0xa28ed7f5, 0x162008b3, 0xe2fd51ec, 0xe3631909, 0xb5915d7b,
+    0x2b52aa9e, 0x43a80c96, 0x939f409b, 0xf183dc48, 0x423b1a2a, 0xc9719bc2, 0x21b01c56, 0x817cc47b,
+    0xb3055cf8, 0x040a7fd2, 0x5855d37a, 0x7a088d82, 0x0c482956, 0xe978f70e, 0x7d057b90, 0xa6f7df50,
+    0x732fcadf, 0x4975a6d0, 0x8076959a, 0x761b88b3, 0x3e9041fe, 0x9cc92400, 0xfae3809c, 0x5a54b119,
+    0x73a7d1d0, 0x0164d2e6, 0x77791065, 0xc8d96bfc, 0x829ef8e8, 0x06aa2e06, 0xf3503611, 0xa63c5c57,
+    0x77bf310f, 0xffd83196, 0x7c3bd5f0, 0x74e0c5f8, 0xfddcab57, 0x01532062, 0x47940255, 0xb464cf6c,
+    0x7e31d6ff, 0xcdc61c2a, 0xf6d7c0f8, 0x0d3c534e, 0x8e70a956, 0x78501432, 0x4d71c9ba, 0xb27c1480,
+    0xb73c9e2c, 0x824a1b54, 0x5fa7a9ed, 0x87d68165, 0xb359bfbe, 0x2f37cd68, 0x62d313f8, 0x32b13205,
+    0x8a8aab3f, 0xd65a7f57, 0x6e594bd7, 0x39038b91, 0x83e043b9, 0xe10851b6, 0x49d60e68, 0xb728da26,
+    0x1d60f5cf, 0xff8572eb, 0x86d59195, 0xcc6c1ab9, 0x9184c725, 0xe23680d6, 0xe7ff3b08, 0x376fece4,
+    0xdb7e405a, 0x95376afd, 0x0e26c721, 0x41c3c00f, 0xc38d1367, 0x0227bee1, 0xe9ff07a0, 0x057ae68a,
+    0xe16a6cec, 0x66bd084b, 0x80a61f1d, 0x6d48506b, 0xcd4df9e2, 0x57e3b60c, 0x3596bf97, 0x462a9c44,
+    0xde5ab483, 0x55656b70, 0x29ffe9f1, 0xc5e48a8a, 0x671a48d6, 0x3398aa80, 0xbae867ad, 0x1a8e33c3,
+    0xffa9fc6f, 0x60fff3c1, 0xf056b2f6, 0x09ce4a56, 0x456b18a7, 0x5213e772, 0x8fdc8eac, 0x2235f2c8,
+    0x18656879, 0x3684b638, 0xaa82b7ac, 0x1135cffc, 0x0b28d97d, 0x3aa06828, 0x7a6ce071, 0xdfeef139,
+    0x3d42151d, 0x2e736a41, 0x266c40b3, 0x89f31b4f, 0xd4918a2b, 0x2d69dba4, 0xa3d4c181, 0x1473f065,
+    0xe7cd6f36, 0x84690e43, 0x54372229, 0x4741462d, 0x4b9e277e, 0x201bb50c, 0x25ef8f67, 0xb6324f69,
+    0xe7398c6e, 0x9ed94d1e, 0x7adb6c44, 0x26281291, 0x809781aa, 0x466d0f8f, 0x9b7d0faa, 0xb70071b2,
+    0x1b73d3d3, 0x84ac3fd1, 0x8babf329, 0xa04903dc, 0x7ed72b98, 0x61fae9b3, 0x427bec9b, 0xd0a528c6,
+    0xffd0853a, 0xa70c3c9f, 0xbfeab1e1, 0x152acc28, 0x60d031e5, 0x5836538a, 0xb975ff0a, 0xcc97f359,
+    0x45f18666, 0x4d2cb62b, 0x73330a4b, 0x45dd7be5, 0x53bec592, 0x85e26265, 0xafefa88e, 0x3e60847f,
+    0xdfb2d6ac, 0xc40920c3, 0xca1e113b, 0x4e700378, 0xb0fc8081, 0xffc129af, 0x5476a645, 0xb778a188,
+    0xa2eed516, 0xb028065c, 0xd152c44e, 0x999b6184, 0x9755c168, 0xb32dff23, 0x2e44b454, 0x7f2f23cf,
+    0x1cde9e9c, 0xe1e6e114, 0x95624a7f, 0x97f74702, 0xab8a7723, 0xbe760509, 0xf1f126ec, 0xa4b74ea6,
+    0x68369882, 0x0063c67b, 0xf8d4c1fb, 0x5103a588, 0x0639e5d7, 0xe6d87779, 0x723c6ba5, 0x5981906f,
+    0x361680e0, 0x5191e918, 0xf1308d17, 0xe532ba75, 0xefa85de6, 0xef06aab4, 0x2ab90035, 0xd332767c,
+    0x9953bb67, 0xc0d3d234, 0xcf4bd3d6, 0xce9d72ed, 0x17c33dcb, 0x97eaf16c, 0x41525723, 0x10cd16a8,
+    0x60975832, 0x4634d7f5, 0xc86e4724, 0x032abeb5, 0xeac82a03, 0xe7884228, 0x7c6a0679, 0x834db2a0,
+    0x90f26eb8, 0x4360aa15, 0x949fc31f, 0xf89e7f2a, 0xa5f06308, 0x2b11ea84, 0x3368d7db, 0x9b4953e8,
+    0x5d42ee4f, 0x79b43e3a, 0xa4caef56, 0xfca98223, 0x809feb4f, 0x7739794b, 0xdf154b4b, 0x6fee1ddb,
+    0x8fc9e2b6, 0x2c097bc8, 0x12b28e58, 0xc4e75d24, 0x859833ef, 0xf684ea58, 0xab675f13, 0xef335046,
+    0x9fc877c7, 0xdc830c77, 0xe1399f84, 0x937441f3, 0x0bf8d673, 0x6bf309ba, 0xd9cecae1, 0xfac4cc3e,
+    0x5029f3c1, 0x619b64f5, 0x852e18c5, 0x21d01730, 0xa8dcf493, 0xd6fa4751, 0xe4b7fc89, 0xdae80884,
+    0x441c7617, 0xc8766630, 0x021403c3, 0xdf835752, 0x729582c4, 0xaf7892e3, 0x5bc703f0, 0x22f8a0e3,
+    0xbda60113, 0xed31b498, 0x3c5c2c77, 0x408ccc04, 0xbf3f85ae, 0xbc276f44, 0x610da96d, 0xd10bdaa1,
+    0xe718dfa0, 0x121107ec, 0x0f714336, 0xcb8de410, 0xbfc0f819, 0x39aa753a, 0x6075ac98, 0xe55139c1,
+    0xfcd5f849, 0xe61d3f05, 0x56473bd6, 0xc30c0818, 0xf3bfacf5, 0x3a5c13cf, 0x7fb28c04, 0x69b9022f,
+    0x6ff529d1, 0xae0b68d8, 0x1eaaea38, 0xd20c6136, 0xd842c4e4, 0x135e78b2, 0x9abc6e1b, 0xe9c398c9,
+    0xd8b77abc, 0x6aa0a36e, 0xa5923071, 0xa1fd27e5, 0xb0f06de9, 0x070d3ab0, 0x8a9d22de, 0x40f4bb28,
+    0x3b40ea24, 0xbb063879, 0xc57a63ba, 0x891b2bb4, 0x22eb1b4c, 0x0637481a, 0x193913ef, 0xcb9c15ef,
+    0xfdad7cc8, 0x337b8216, 0xdf305fc4, 0x37541779, 0x02894508, 0xc2e9a281, 0x17c0b231, 0xbbebf7d1,
+    0x99abe311, 0xb0cf1b41, 0x6bea3d2c, 0x1efe77dd, 0x16e37523, 0x4f459c78, 0x84ea0880, 0xc6b20859,
+    0xda6d0ae1, 0x6f9e97b7, 0x58938375, 0x97900812, 0xf25c5bec, 0x4c493132, 0xdcaff09a, 0xb3d6039c,
+    0x00000000,
+    0x53d80cdf, 0x33fc58b3, 0x01597295, 0x850d7b92, 0xd8eb42f5, 0x8f892faa, 0xa77547ce, 0x419943f7,
+    0x20b9e167, 0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x75269e12,
+    0x00000000 }, /* 10**08379879956214123187233765623878653829674603637870245861077225902326102518795\
+                         96686050117143635431464230626991136655378178359617675746660621652103062880256 */
+  { 0x00000000,
+    0x5326eefd, 0xda3fee40, 0xf9f5307b, 0x268edd5e, 0x2d4049bb, 0xeca782fb, 0x4c1e19c2, 0x8d1d6593,
+    0xd9057379, 0xf07d6504, 0x0addff44, 0xb6ac189c, 0x5e85500e, 0x947a1d99, 0x1aa8815b, 0x3dfdb2d6,
+    0x5d2f7ebe, 0x12e6eef4, 0xe2882e77, 0x3908f9b1, 0x1843b65d, 0x8d3be205, 0x615a60fe, 0x1ee87ae2,
+    0x6719ed77, 0x40c9944d, 0x8be5e748, 0x0842245d, 0xd6f22dba, 0xc2b6d7de, 0x419d26c2, 0xbc9dc22f,
+    0x1e0bc766, 0xcc793371, 0x9dd84f02, 0x5689b5f8, 0x3b954aca, 0xf931dab7, 0x8cfdf3e3, 0x02c68124,
+    0x6b72da4c, 0x00113166, 0xb257f928, 0x2b1942e4, 0x5e8c94b5, 0x687c6593, 0xbca5c8f3, 0x35ec5434,
+    0x0b88de7b, 0xc681fa9b, 0x95c424b0, 0xa8410b3e, 0xdf797cae, 0x5368280a, 0x6639b42c, 0x86546b4f,
+    0x94c5d67a, 0xca712a0e, 0x265ae731, 0xf3af9271, 0x5d8e4e07, 0x73c72d15, 0x4fab1147, 0xad9dc001,
+    0xc2d01d64, 0xbed52a7f, 0xb0a91e13, 0x95abd1d6, 0x89acead2, 0xf6f13a5e, 0x860dbe76, 0xf4d48605,
+    0xb25b2ab1, 0x08c1d780, 0x37ee1c23, 0x16c93d35, 0x5007f310, 0x40914696, 0xe8863d19, 0x9805dfa1,
+    0x58b63b12, 0x367a6048, 0x8d131df6, 0x3d743e2a, 0x4871aadd, 0x560d4c8f, 0x322d6b37, 0x15b6f3cc,
+    0xf201bbfd, 0xd8ff9948, 0xc68d6f70, 0x637de738, 0xa58aef91, 0x3251f127, 0x672b37a0, 0x65ede1e2,
+    0xb4e3a978, 0x57864c32, 0xe6f3afe6, 0x1bb9aa92, 0x68a65cf9, 0x610a91db, 0x0bfdab59, 0xba1f39c4,
+    0xe9f234ac, 0x7912c007, 0x576cf77d, 0xbf10488f, 0x1ca9207a, 0x1f5485cd, 0x5c09833e, 0x0f10ad6c,
+    0x531a99f7, 0x599d10ea, 0x2019fc9b, 0xf331138c, 0x7166dcdf, 0xf605113b, 0x130fd967, 0xe8adf380,
+    0xd0ee9ee2, 0x1454c980, 0x0f694d53, 0xf051dc7a, 0x61dbe99c, 0xddc3a672, 0x351c37eb, 0x740d42d0,
+    0x13f80443, 0xf9633e07, 0xb4e9951c, 0x97334a4a, 0x8d5507e9, 0x38ad8395, 0x1c43cf02, 0x68d174e7,
+    0xc3794afb, 0x0b4ad658, 0x440c8a5e, 0x615cdbe2, 0xe9e26826, 0x00653633, 0x30c1345f, 0x868f616f,
+    0xc55655f9, 0x24bd622e, 0x9b3684e5, 0x433eaf55, 0x82100eb3, 0x84ab4b68, 0xab5b3ff3, 0x42f556dc,
+    0x63b13339, 0xbf14090e, 0x73cb4003, 0xaa57ad9a, 0x620f96c5, 0x5b41e1fe, 0xc93db229, 0x3aece069,
+    0xc2b31587, 0x2ee51686, 0x566d11fb, 0xadbfbfdf, 0xbd8eb64f, 0x00cdb356, 0x4c689d7a, 0x7f5ce2f2,
+    0x27546a11, 0x937ebdf3, 0x58181dd7, 0x4b0202ee, 0xe7b56a70, 0x0b7afe28, 0x5194e169, 0x8fe95b68,
+    0xf26e4911, 0xdbaa9fb5, 0x05e8fccc, 0xf5cdbb6b, 0x6508277a, 0x4f0959c0, 0x12085bea, 0x8f37289f,
+    0xc7df17de, 0x500bf3ee, 0xb9c0afea, 0x081aa1ed, 0xb30a29c5, 0xb280e207, 0xbfd2c5c7, 0x6c43e611,
+    0xf6f5c88c, 0xb585c6ea, 0x098761a0, 0xe39af3f4, 0xd3a24923, 0x4d3bf79e, 0xc8a33d7a, 0x27885aa7,
+    0xeeb9512f, 0xf1c3e96c, 0x53dab300, 0xf64085a2, 0xcfa89860, 0x28199baa, 0x3c59df53, 0xe6e2c5a9,
+    0xcea0a438, 0x335e492c, 0xc39be239, 0x549c477a, 0x5041160c, 0x8c3bce1d, 0xba590d67, 0x7ab85bee,
+    0x3dd2a81d, 0xa3516b7d, 0xf9f385a0, 0x98cb660e, 0x76a3bb66, 0x2e911d7a, 0xccd6c47d, 0xfaa3318a,
+    0xbee3b9c2, 0x7c90f0df, 0x11d23577, 0x46bb7cc9, 0x6ad3bc63, 0x60ebca5a, 0xda6b7793, 0x65563051,
+    0xa64e2007, 0x9187ec2b, 0x0dadb7c2, 0x71b16200, 0xa787a671, 0xee639fec, 0xf3c03107, 0xca825d41,
+    0xb9fce0e3, 0xaee35031, 0x77857d00, 0x77b17fce, 0x2ad652bb, 0x2609ed13, 0xb83dbc5d, 0xe42cc3c3,
+    0xe2e9fa8f, 0xd74fedbf, 0x3e921d38, 0x846686f2, 0xe3625ed9, 0xa2414ac8, 0x4c878067, 0x2099585f,
+    0xe30be801, 0x15ce885f, 0x2dda6345, 0x689406f2, 0x6401bb54, 0x72c83a50, 0x0fee0ea7, 0x081ac987,
+    0xf3584be7, 0x0d4f70c8, 0x815bcc85, 0x8fede80e, 0xb45dbced, 0xc7360630, 0x9759f522, 0xff31152d,
+    0x9f87cb1c, 0x17b01543, 0x2c8eb8eb, 0x5ba4df15, 0xc2acd28a, 0x282341c9, 0x3291b47e, 0xc2afec74,
+    0xd9323769, 0x2b82d728, 0xfe5120ec, 0x66044a21, 0x9206da73, 0x66bca303, 0x160a4c05, 0x7f32199e,
+    0xa8ad36c9, 0x417f73a0, 0x4b1ab798, 0x748c871e, 0xbb356915, 0x922fa190, 0x0ffcb81e, 0x1a5e9635,
+    0xfdfc4901, 0x6cdd8e05, 0x378a5f89, 0x8491c5a3, 0x40879cf4, 0xfd48ce8c, 0x93f38b9d, 0xa27e7987,
+    0x42f10c3e, 0x8a9d2749, 0xe87d07da, 0xc5422c9f, 0x53f615b0, 0x8ecb7a3a, 0xca2d0aed, 0x5d22793d,
+    0x4ae7568a, 0x438400ed, 0x81153451, 0x4027f418, 0xa6fca7ee, 0xf603d015, 0x063307ed, 0x923a1ae5,
+    0xf3970520, 0x21270ac4, 0x944744f4, 0xaf8c79d7, 0x5b2b1b21, 0x1661fee8, 0x5717f7f1, 0xa210617c,
+    0xb43eb8eb, 0xa0f7fdb7, 0x441c0c5b, 0x660e4bed, 0xf2c92c91, 0xf587050f, 0x797fe4de, 0x99cdf944,
+    0x08c020ef, 0x17dc163f, 0x095e9555, 0x1c09e8ea, 0xc5bc5260, 0xec0b35c5, 0x380ca541, 0xe1dca25d,
+    0xf8e91661, 0xd476f540, 0x74a6bbf7, 0xccdf2664, 0x4f711f76, 0x1800a180, 0x645c6df1, 0x97de3706,
+    0x11c3e253, 0x161961cd, 0x59fede8e, 0xb983ac13, 0xb24d16f8, 0xed774c3e, 0x6e764fa2, 0x78ac7ab1,
+    0x68a57385, 0x9cc160eb, 0x5a786a39, 0xfbcbe981, 0xa6d45129, 0xf43bc3bc, 0xf80c332a, 0x3a1b7fea,
+    0x748d90ab, 0xf1094d42, 0x2bba4074, 0x72177d04, 0xb5052ce7, 0xf9b6d5d0, 0x0080c2ec, 0xe778ec26,
+    0x96a4935d, 0xbac0c7fc, 0xfad686ca, 0x43fee52d, 0x8d196155, 0xb079b769, 0xc5addfc0, 0xe104e512,
+    0x2c9e1c93, 0x5df84ebb, 0x3cd345d0, 0xfea3bd57, 0x301258e6, 0xa4e58351, 0x0bc17d2e, 0x85a9d2b0,
+    0xd888a723, 0x33529105, 0x043f0193, 0x12044fce, 0x2127b189, 0x1ed006ee, 0xbc41ef79, 0xdcf04d02,
+    0x23ce4286, 0xb709ad9a, 0x86f6b448, 0x3c97470a, 0xec865ebd, 0x41be4579, 0x8f534498, 0x059b615d,
+    0xb95553ea, 0x14557e35, 0x8f43fa4d, 0xd4899d8d, 0x600161c7, 0xe6e26049, 0x023c9dd9, 0x98b78765,
+    0xf7546125, 0xb898ebf0, 0xa606c8e1, 0x5f5cc217, 0x2384b300, 0x24bd745e, 0x89477f52, 0xfa65b818,
+    0xf34512af, 0x62f77b80, 0xae9bfcf1, 0xa14a3dc9, 0xb7d538d8, 0x4805a3b5, 0x68b73957, 0x55ea92e8,
+    0x8b34993a, 0xaf23d76d, 0x4a8e66f8, 0x24675ac8, 0x73a3ad9e, 0x301048fd, 0x0e915546, 0xbccc9add,
+    0xcf1972ba, 0x52aff225, 0x844debbd, 0x5e2eb90d, 0xe95a0064, 0x9d421c24, 0x7382fa34, 0x02b10b96,
+    0x6783ea49, 0x7e3badcd, 0x364d6455, 0x258e7f6f, 0x96d79b4c, 0xa6fe2fd5, 0x9fa8a2c0, 0x286e8377,
+    0x0e2479ba, 0x460b49fe, 0xc1340689, 0x2e662fc6, 0x40645350, 0x8192f7d0, 0x7d71bd18, 0x60865937,
+    0x963d560e, 0xc84bbbd1, 0x09b04fbc, 0x4c51cab6, 0x11375bc1, 0x1c93bcb8, 0x95b9bb12, 0x5408852a,
+    0x27e76285, 0x99f65b65, 0xffd3530c, 0xc621c48e, 0x87c563d0, 0x99ce5b08, 0xf571c881, 0x5e82e22b,
+    0xa5f9d063, 0x02d27568, 0x346a6623, 0x16b05fe7, 0x61ebb84b, 0xdd941c6b, 0xcde6aec1, 0x843ddb01,
+    0x02d6646c, 0x0e83ddb8, 0x93c00d80, 0x061660a2, 0x10f7191f, 0x29b5aa03, 0x5e3d7600, 0xd57b926a,
+    0x762186ce, 0x08c21d93, 0x5ab96729, 0xdbabb692, 0x2857cc54, 0x62ee41c9, 0x94f8ca61, 0x6199ea63,
+    0x123b3d76, 0xf94057f2, 0xe09f9edd, 0x79121e71, 0x35b8004d, 0x0f6a183f, 0x69fec659, 0x8020615c,
+    0x8bf80328, 0x8dc35060, 0x573bcd67, 0xc563ed51, 0xa322bf14, 0x563a89d6, 0x1cfd2312, 0x6bff479c,
+    0x282bcb10, 0xea20d4ad, 0xa169d04c, 0x2a5b734b, 0x06558acf, 0x6fbad454, 0x2524b192, 0xf1b13801,
+    0xa30bedc8, 0xba25e6f2, 0x5f7a5c3f, 0xb2267469, 0x90f5c38c, 0xfafd300a, 0x2fec2cc4, 0xc4ce1b52,
+    0xbcdcca21, 0x89f2d827, 0x1a8c8010, 0xd544a4b9, 0x0d08429c, 0xf7691d43, 0x0a6a2145, 0x6c8a827a,
+    0x69cef4bb, 0x4b36b4df, 0x45262110, 0x3f610490, 0x90afe4d3, 0xf60cbe42, 0x3e0f5f54, 0xe37f259f,
+    0xb338104e, 0x37d5f37c, 0x3de1a261, 0x77399349, 0xe3c1da9b, 0x2772b290, 0x7179c233, 0xb6d2f558,
+    0x9d17e9bd, 0x07b10953, 0x9db3d1ab, 0xbcf6b12b, 0xf065ec72, 0xfeecc4e7, 0xb524ab46, 0x0490e071,
+    0xaf3e6526, 0x80086cfd, 0x3630e2d9, 0x0c1837dc, 0xdfd72af0, 0x950d8b0f, 0xa1306778, 0x9d17ebd5,
+    0xe7b294fb, 0x49ee6cb8, 0x6f932458, 0xf205512e, 0x0892c8e6, 0x49e17fbb, 0x6742a294, 0x073334c7,
+    0x8a75d72d, 0xc5fc87f8, 0x783f0f1e, 0x8996b660, 0xf3fe9481, 0x083a68a1, 0x00570749, 0x527d3967,
+    0xa8520ac9, 0x9508e6e4, 0x63d40756, 0x56d331e9, 0xa989c455, 0x7ff2463d, 0xf343facd, 0x7ccfc619,
+    0xc4ad79f0, 0xf5f65228, 0x61080aab, 0xcad068cf, 0x05f5f6d3, 0xc921e7ef, 0x684c78fc, 0x4568e7f6,
+    0xae26b0d5, 0xfccad501, 0x8740b244, 0x37923438, 0x1d394acd, 0x8d128ecc, 0x24045554, 0xfac5ff4d,
+    0x6433e599, 0x56c0a168, 0x3d7b9386, 0x6c591bf8, 0xe76ec851, 0x6d56e2c4, 0x6ccd179a, 0xe853d42d,
+    0x0364c51d, 0xe75df380, 0x3e407aab, 0x2f0a4e3d, 0xab807f58, 0xdbd59fd4, 0x091b770d, 0x95fa678a,
+    0x7ce12e51, 0xde364c0e, 0xed844e58, 0xdebae590, 0x9d8764f5, 0xf1beaaa9, 0x6002b1ab, 0xd342861f,
+    0x099693f9, 0xa792d38e, 0x6b1fce2e, 0xdcb0f141, 0x011851d8, 0x62658984, 0x04a32099, 0x3c7f109a,
+    0x3e4e1fad, 0xe484a7e5, 0xaafba7f3, 0x290005e6, 0xaa391e6f, 0x9da2699b, 0xce964a7d, 0x050ca63b,
+    0xdd6b66bc, 0xe069eaa4, 0xfa19b704, 0x157bdbd1, 0x71b10ed8, 0x0c0c3c0e, 0x09e0280c, 0x38c54867,
+    0x4ee8178f, 0x4b471e0d, 0x22c7926e, 0x0733c08a, 0x2112f59f, 0xec7197d4, 0xc54f4b8c, 0xc064d350,
+    0x5e016f84, 0xd7548ffc, 0x8d9757c1, 0xec9859d6, 0xd8ed227c, 0x24ef9265, 0x116b180e, 0xda21437b,
+    0xc27e4a2b, 0x103033c9, 0x1ea4f5e7, 0x5b30c2e9, 0xee2c9c1a, 0xe6e5a0a0, 0x209133b2, 0xce18bced,
+    0x97608a69, 0x852143b6, 0x467c34ce, 0x0dde17c3, 0x278d4a74, 0x66af1f71, 0x73b02b18, 0x3d644ceb,
+    0xed575434, 0x74a87a64, 0x5ace8545, 0x98c11851, 0x1978b8cf, 0xc464c2f8, 0xc95bc8ee, 0xe453f95e,
+    0x283cb895, 0x138a676d, 0xeeb984b2, 0x0b983f59, 0xa271288a, 0xe0db1f22, 0xf66b9cb1, 0x25b6ade4,
+    0x6144e404, 0x74a7d89b, 0x9b0587f0, 0x0c0995a2, 0x9dfa10a8, 0xc73a226b, 0x855a8796, 0xd3a99921,
+    0xc9dd7697, 0x1b9bb440, 0xcd4f6ca7, 0xfb0c005c, 0xf01bb0fc, 0xf7b2a2bd, 0x83acceae, 0xe9e15056,
+    0xa58a799a, 0xa4fe529e, 0x2f0769a8, 0xe7033aa1, 0x56dda2f6, 0xd9da7678, 0xc99d2d7b, 0x6cd1586e,
+    0x56f1f083, 0xaddc2e7b, 0x9224949b, 0xaaf57b82, 0xc69a0301, 0xba107d39, 0xf37ac418, 0x3a9fb6c6,
+    0xf5380d67, 0x38c3e5a4, 0x0b23d380, 0x08e663e9, 0x6e618ec9, 0xfd73991b, 0x34967d80, 0xe92085d1,
+    0xc7ad983f, 0x9c4d561e, 0x423ec127, 0x5057ca71, 0x0d05a8de, 0x65164a27, 0xb129aceb, 0xfaafb4e5,
+    0xe5af9926, 0x8a001473, 0x1203df4b, 0x8120c5ef, 0x6e4c3c2f, 0x0a5bd1f7, 0xdb1dc8d3, 0xfece5f5c,
+    0x1a45ccb6, 0x25dabd03, 0xb6f45586, 0xa1b310c6, 0x39275e1a, 0x9d92a4f6, 0x175ca384, 0xf357794c,
+    0x3a333e0e, 0x779e7738, 0x567a73c1, 0x2352b028, 0xd7cb23f0, 0xaf2ef159, 0x0e09c7a1, 0x66e3a91d,
+    0x9d5f141a, 0x481deb2d, 0x87ec0b4b, 0xbc3dc25f, 0xbb3e2535, 0xd584e4e3, 0xcdbb703c, 0x917f2a51,
+    0x6a5462d8, 0xd072d167, 0x5015ba67, 0x64960192, 0x7719780b, 0xbdbabbc0, 0x22e1bfb4, 0x02032a5d,
+    0xdb99d659, 0xb156593d, 0xf7baf975, 0x9310b3b0, 0x9fa1d8c0, 0xfd699b0a, 0xe6310970, 0xeebfeb45,
+    0x150f46db, 0xd0a7074f, 0x28ef2bd5, 0xd61ec6dd, 0xd28aaacc, 0x0e123b45, 0x26149e31, 0x9b55ee4b,
+    0x7db80364, 0xc4e25390, 0x9b54114d, 0xc788eb6a, 0x13156713, 0xadbc95e2, 0x1e658e43, 0xd17cc023,
+    0x7e21778a, 0xd6ea3d88, 0x6d4bb06e, 0xa17652bd, 0xc4b0d72d, 0xafa66be7, 0xacd87f4d, 0x75b10412,
+    0x11a64082, 0x2d52b646, 0xd613432b, 0xd13c41ef, 0xc0b7d563, 0x9851d450, 0x0e63198c, 0x91601e55,
+    0x7905bda4, 0xf69a8851, 0x508988b9, 0xb5b959ea, 0x041e56f2, 0x9d815025, 0x2d8df7f7, 0xd29cc5e9,
+    0x1b191ec2, 0xf4e22a9b, 0x2e8afe54, 0x6a6b664d, 0xd3d203b7, 0x68256904, 0xf7682735, 0x7fb08f09,
+    0x44386641, 0xc97b20da, 0x92cbe093, 0xd13be9f0, 0x167787a1, 0x099652b6, 0x986b601a, 0x7076b1d2,
+    0x72d074b7, 0x560a6ef9, 0x2b6cc21a, 0xa8bb2d8d, 0x31685c4c, 0x70423840, 0xb865e32a, 0x6bbee1df,
+    0x3e9c4d9d, 0x14354953, 0x67d1ec60, 0x1a65c14a, 0x007b9015, 0xc9acdf7f, 0x230f8cd2, 0xae8df231,
+    0xa55fbba0, 0x44f2a13f, 0x85c7eb74, 0x469e1bfa, 0x732a04e3, 0xb00a6d8e, 0xe4c0abc6, 0x15e41643,
+    0x78f6e15d, 0x559ea87a, 0x753b8e58, 0xac11182f, 0x87f6e72c, 0xe77d0fc5, 0x5fdc23ab, 0x3531f308,
+    0x12b2664d, 0x09a64344, 0xdc8b7707, 0x21dfddc5, 0xa0862513, 0x2f9dce63, 0x88cc5794, 0xd354027f,
+    0xf34ed269, 0xebded9d8, 0x2a0ce603, 0xccd6242c, 0xe58ec1c3, 0x519d667b, 0xbd03ebf2, 0x6e72b76e,
+    0x7fee0bc4, 0x6b7761b3, 0x3780fc33, 0xbfd875d3, 0x83658772, 0x9e64ee05, 0xdb7180b1, 0x6f00f4db,
+    0x6d3c7f36, 0x581c7bee, 0xcc6bf37e, 0xa13364f9, 0x1f3513a6, 0x1f37e1d5, 0x6de1aba7, 0x6ae7cffb,
+    0x974bce24, 0x5c2fb673, 0x160c34e2, 0x13c67ce7, 0x07e29e4e, 0xe3a96f35, 0xbb77cdae, 0xde35be66,
+    0xbe55f460, 0xa3603f54, 0xe86bfb4a, 0x083aeaff, 0x166e7d57, 0x8432df42, 0x405ed251, 0x0b27322b,
+    0xe0310071, 0x84a55358, 0xb7e3ee08, 0xf647f12f, 0x5189efcc, 0x09f7eafe, 0x199920b2, 0x65bf732c,
+    0xdc78dc72, 0x68f296c8, 0x7c5b281d, 0xeb6f36d4, 0x50d990e4, 0x775bc53f, 0x78403c9e, 0xad23e6d6,
+    0x0627e083, 0x4191f9eb, 0x36298639, 0xa38f7771, 0xdb30d299, 0x03b166a7, 0x0ce36bff, 0xcfb400c3,
+    0x68c7df7e, 0x1509d85d, 0xb9a90aac, 0xc55a84dd, 0x63ec2218, 0x893fe14f, 0xb26b1319, 0xa94a4c9f,
+    0x83b026a0, 0x91a368ea, 0x96031036, 0x59976e8d, 0x30bd1624, 0x71c8f0a5, 0x86d9da67, 0x8d82872f,
+    0x597e5f73, 0x1240e924, 0x048acfbe, 0x2665d24a, 0x73a31c57, 0x5f167adb, 0xb7e75d38, 0x0ce2cd7f,
+    0x9fcdc2db, 0x2a574361, 0x4e12f3e0, 0x3efa1f0f, 0x36606aa4, 0x30057bf0, 0x9abfb01f, 0x363446b4,
+    0xeee0e2d8, 0x7fd284a2, 0x3a209f61, 0xc9a26b16, 0x379ad720, 0x6940d20e, 0xb828dadb, 0x97b85c6d,
+    0x00000000,
+    0xa9ec066f, 0x99fe2c59, 0x00acb94a, 0xc286bdc9, 0x6c75a17a, 0x47c497d5, 0xd3baa3e7, 0xa0cca1fb,
+    0x105cf0b3, 0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x5a934f09,
+    0x00000000 }, /* 10**04189939978107061593616882811939326914837301818935122930538612951163051259397\
+                         98343025058571817715732115313495568327689089179808837873330310826051531440128 */
+  { 0x00000000,
+    0xb5e16c03, 0x6fe92236, 0xcbe6353e, 0xe43d6064, 0x60d867e2, 0x4c7a07d8, 0x08c291d2, 0x52c97a3c,
+    0x6828c42e, 0xd5ae0455, 0x31c32b02, 0xa327c8e8, 0xf6c146b8, 0x3d485934, 0xb64ae767, 0x3c7c2fc8,
+    0xfc9b8f68, 0xdb2a500d, 0x216c0232, 0x1523616e, 0xda236fe7, 0xd208d3ff, 0xb8582a27, 0x58bc7787,
+    0x3f8718f5, 0x875ba666, 0xc0b5235f, 0xec63343f, 0x716b5263, 0x9f68ee37, 0x4c18f174, 0xd2807fae,
+    0x98b01389, 0xcec204f0, 0x88dbdc6d, 0x0315a940, 0x32ef6e80, 0xca722e16, 0x8ed94add, 0xadc0ad3e,
+    0x4eaac64b, 0x3bdec927, 0x079a3f77, 0xe1a2b5d3, 0x159e42dc, 0x9cd78f62, 0x5e26c04e, 0x8670f65b,
+    0xd1086116, 0x896c04f1, 0x9ea2c0f2, 0xe5f8f5c9, 0xe510fd38, 0x70c40527, 0x2e9d3ab1, 0x5d6ed9fe,
+    0x680d265d, 0xbf86f8bb, 0x7220f143, 0xdda9a402, 0x71e589d4, 0x0b5da358, 0xe3ed276c, 0x171f4c39,
+    0x93c04f05, 0x88f040f6, 0x4b58555f, 0x13618678, 0x2653e1bb, 0x784f3623, 0x5b4aef13, 0x4e2d425a,
+    0x39a8006c, 0x766f719a, 0x722ea158, 0x605a9045, 0x48ac8a40, 0x47912fd9, 0x52205b50, 0x1bbc56a2,
+    0x137b20a4, 0xc1dcc8c0, 0xbe361ed3, 0x5b8a86e6, 0x642c8e01, 0x45327611, 0x7929211e, 0x62cd06d7,
+    0x6f30ac33, 0xb66e80f0, 0xe178eb2b, 0x79375fb4, 0x011acc09, 0x00cddb9e, 0xae3ac3f4, 0x127f8058,
+    0xb2c5ca7c, 0xeba8ed81, 0xcec8ac6e, 0xbfb25852, 0x30666c9a, 0x200661d3, 0x72217558, 0x9a679a56,
+    0x95143b2e, 0x30e8b02e, 0xdba2db41, 0xde79bae9, 0xa4e90e70, 0x5817a00c, 0x1ade832c, 0xaa0cae8c,
+    0x4904f485, 0xf20ad250, 0x0f52c11b, 0x7c721b3e, 0x1674c6fd, 0x4b7a4877, 0xb28d422e, 0xa3b8c700,
+    0x4b5719d3, 0x89b5f9bd, 0x32924968, 0x95829f01, 0x76e9517a, 0x680e879d, 0xf70b54c7, 0x9c5b74ef,
+    0x0a1db839, 0xe7b4ab36, 0x89f2f985, 0x69bc0d9c, 0x66b0eb68, 0xcc898aac, 0x3a9b8ab0, 0x7f80675f,
+    0xbc28e86b, 0x2835a5bd, 0x41f5e73b, 0x0eaf458d, 0x5ea69660, 0x9bf80060, 0x372ce93e, 0x44f4690d,
+    0x91403fd7, 0xc8dbb124, 0x76f25b9f, 0x2bc294be, 0x895d9407, 0xfd03b343, 0x3864cdf8, 0x01572c6d,
+    0x0aead284, 0xc718b057, 0x4db3f199, 0x28f0fdcd, 0x6b3e56af, 0x0bbeb1f5, 0x34f53c21, 0x90afc055,
+    0x1e0f626d, 0xb702b1cf, 0x847a59e0, 0x1aff2ecc, 0xa74bfb9a, 0xc09c80aa, 0xdbc739fb, 0xe30f5660,
+    0xb759b8e8, 0x07b01e89, 0xbe29a6e6, 0xafc76168, 0x884e4eaf, 0x752ea6cb, 0x5336351f, 0x48b609d6,
+    0x55b7317f, 0xacd7148d, 0x745bc3d5, 0xbb3e2557, 0x830f449a, 0x52c930e8, 0x7c36ea43, 0xf8854077,
+    0xc222ef66, 0xb38c64d9, 0x9f6a58e4, 0x563c2ea6, 0x8e0506c7, 0x573f8a67, 0x077d1809, 0x6d9086da,
+    0xd63b1797, 0x0a42fe85, 0x87a5be5b, 0x01bd4cbd, 0xb037c412, 0xbf5567ce, 0xd04b1f5a, 0x866d77a7,
+    0xd4fb0eaa, 0x505712ec, 0x603e8d3a, 0x7448c589, 0xe40e579f, 0xf7a48a75, 0xae32f754, 0x765c8311,
+    0x8221bbee, 0x26f1190d, 0x76eaf493, 0x514ff762, 0x59d8c31e, 0xfbb9231f, 0x98737c73, 0x3176b153,
+    0x9c3738e3, 0x074533d9, 0x86c79bad, 0x66f4d3a8, 0x44254b56, 0x7189f77d, 0xcde28784, 0x4a8adc82,
+    0x594b9a1b, 0x688b824e, 0x2bc753df, 0x409c2c74, 0xf007d4a6, 0x51d99c96, 0xbea83900, 0xfbf01d1a,
+    0x3cddc9dd, 0x9adddf7a, 0xda272d6b, 0xe5f8c130, 0xfddc8bbc, 0x1452fdc6, 0xbed6d05d, 0x820f88ad,
+    0x9b7fe68d, 0x87988042, 0x40737a47, 0x7bcfc4bd, 0xce8b4acb, 0x49ef1413, 0xcc6ee2af, 0x121c3419,
+    0x59cf8b71, 0x2ad884e8, 0xb93cf196, 0x4ad86770, 0x22901cbb, 0xd4d367af, 0xc1e0b4d7, 0xfc11e83e,
+    0x69cfa909, 0xc93cf16b, 0x37e3a05c, 0xd046cbb7, 0x2f734eeb, 0xbbd5d70e, 0x7c9b88b1, 0x32af8f97,
+    0x12320c9b, 0x737f423d, 0xdc711cec, 0x19a60046, 0x0f218ddf, 0xb4268247, 0x1cb91b10, 0x1db6a48e,
+    0xd655aa1b, 0x09768b7d, 0xeb7fc7ea, 0x95c68aed, 0xdda9220a, 0x26ac92f3, 0xb22a5eb2, 0x6815518b,
+    0x4b670d5b, 0x3b273683, 0x2f61537d, 0xa1d92fb6, 0xbf79caa6, 0x5df874ab, 0x2cb96a2b, 0x0799b57e,
+    0x2740191c, 0xe8ad5690, 0x37a6b970, 0x0d677052, 0x9904ae22, 0x0db56a0b, 0x32f37685, 0x6ef66278,
+    0xb75ef275, 0x12fda501, 0x2a26f315, 0xa701936c, 0xf27e7366, 0xb25ca778, 0x5343a701, 0x03fd9182,
+    0x1a858bf8, 0x51a6131e, 0x5a4cba16, 0xe0a821f8, 0x3078563c, 0x4f4cb197, 0x6674b4b3, 0x3bab9a93,
+    0xdd7b0371, 0xf377cd1a, 0xe7d90706, 0x85670854, 0x4b0aed94, 0xf6a88fe2, 0x32b2312c, 0xf6b09eba,
+    0x74616e33, 0x9257ba80, 0xd9124039, 0x9e487a1e, 0x69587c87, 0xcd530f8d, 0x09dfefdd, 0x8d0f9132,
+    0x4c23d9a1, 0x8ac8db99, 0x63a35f55, 0x8d83cb9c, 0x5159b7b8, 0xda9040c2, 0x7cf03072, 0xbf0c4ced,
+    0xeda20161, 0x9e011cab, 0x9cfc7d3a, 0x75207cf1, 0x23631511, 0xee211550, 0x828173f7, 0xb256b01d,
+    0x50b0db4a, 0x20927d41, 0xf527c21b, 0x63f3022b, 0x549d292d, 0xf6a4129f, 0x3abcdd17, 0x65930861,
+    0x8224bc30, 0x73e00d4e, 0x2ab0558b, 0x6c350960, 0x89933f78, 0x34236e12, 0xd8f2075a, 0x67920266,
+    0x2f86050e, 0x547741b3, 0x30b38a68, 0x61e76c07, 0xebc6ff97, 0xaedf319d, 0xeb4f4acc, 0x29d5e772,
+    0x438e87bd, 0x3b208e99, 0x9afd0990, 0x36e6459e, 0xb10528f5, 0x80383530, 0xfaa8d378, 0xd4cc46f1,
+    0x0224be13, 0xca4f5efc, 0x443407e1, 0xfd565e48, 0xf78827ed, 0xdceca3ee, 0x95284489, 0x74c722b9,
+    0xa5349e13, 0x2918e35d, 0x882fa505, 0xb1ec65dd, 0xae670cb6, 0x127233d4, 0xafbc2625, 0x478c813d,
+    0xd5af4e76, 0x03b39978, 0x9713499f, 0x20bed7b2, 0x1e0004a9, 0x82dd47f2, 0x9f6c0681, 0x6b9f3fee,
+    0x67fc976f, 0xfe635669, 0x3fb551a0, 0xf5936780, 0xb0db2fad, 0x4790e1e1, 0x4773761c, 0x117efc6a,
+    0x9a92f1fd, 0xf7b2fb61, 0xff5d2738, 0xf5b16357, 0x2b11628a, 0x6c267d43, 0x0adc1365, 0xdfc0b464,
+    0x4d7e6f5f, 0x944134e5, 0x9bb88739, 0xa428bef1, 0x89128fe9, 0x2cab674e, 0x54f90a0a, 0xadde187e,
+    0x2fea576a, 0x1d575916, 0xac38b319, 0x7a2e6de8, 0x531f3838, 0x302fdc02, 0xb8ef2f99, 0xf48afd12,
+    0xe1660d49, 0x49bbe6cd, 0x5ed0834a, 0xbaf943fe, 0x74616908, 0x90bd8879, 0xfaab637e, 0xcbbd77d5,
+    0x5571dd32, 0xf867cf60, 0xd25700ce, 0x7d8fb3f9, 0x4dd53cb6, 0x6a2d5828, 0x244c125a, 0x3c6ea4f9,
+    0x573cf04b, 0xd70e19af, 0x8752ffbf, 0x7eacaff0, 0x06491c49, 0xd4d5bbd9, 0xef5496a0, 0x39837c09,
+    0xa3bc5aa0, 0x8abf9eca, 0xe07b500e, 0x02a31a57, 0x9f095e99, 0x52a339fd, 0x873cb4e8, 0x4eb7698c,
+    0x01a2e9b2, 0x4b5d733b, 0xfd673ac0, 0x97870557, 0xcde4c760, 0x7708f016, 0x3b611031, 0xe4b0ef9d,
+    0x7f998f36, 0x3af91238, 0x488986e7, 0xf9351ff5, 0x7cae874f, 0xac6ec850, 0x15040b52, 0x4944471f,
+    0x0b791f38, 0x6131177a, 0xa2ae3419, 0x72ed057e, 0x46ba3e97, 0xcbeab98e, 0xec368fcf, 0x24075b06,
+    0x9091d128, 0x38f39c5a, 0x8a9e31a5, 0x669a4e20, 0x782c6449, 0x62032e3e, 0xcc5c694c, 0x944e5886,
+    0x25000193, 0x0b99a1ae, 0xe9a481a1, 0x261df164, 0x2327f67f, 0xfa306f87, 0x6178a02c, 0x2c7bdff7,
+    0x7ffc8309, 0x417f8220, 0xe08451fd, 0x53c2bf77, 0x113f33b3, 0x2fc1b3f1, 0x70a85409, 0xc3fd2f85,
+    0xb1ce2991, 0x1431c1c7, 0x5bc11553, 0x00469921, 0x9771ec5a, 0xe546bbcb, 0x43fb42b7, 0xe0618138,
+    0xf039dbc6, 0x7a60fb62, 0x4aec5df9, 0x493a541d, 0x3483fd85, 0x6a173e6d, 0x595126c1, 0x29410c0f,
+    0xd087f1f7, 0x2988ea77, 0xd8375ec9, 0x90e5b35f, 0x754360f2, 0xba4db139, 0xaeb35c30, 0x7a33acd7,
+    0xbb78c86d, 0x6a64a915, 0x037085f0, 0x8a4e1eff, 0x714abce0, 0x2d165a18, 0xe329273d, 0xd7794fd2,
+    0x68258387, 0xeef6d3f4, 0x4eae1e85, 0xeb52f7de, 0x03178e1d, 0x56e651a0, 0x7f2c2ad4, 0x732660fb,
+    0x70798cf5, 0x6a86055a, 0x4ef639a0, 0x40bb1a99, 0x812cb2e2, 0xfb43cbfa, 0xc0fdfd5f, 0xd1afe91c,
+    0x5cfebf26, 0x59ec6f66, 0x07e01f34, 0xece09012, 0xe879932e, 0x297ab0ef, 0x8387d8a2, 0xf6716c89,
+    0x03b1b983, 0xb2a24600, 0x1e3c3cb7, 0xa2be7183, 0xd798e50c, 0x47186f40, 0xe47fa02f, 0x8886efb8,
+    0xe782a0ec, 0x90ad6adb, 0x0a1f617b, 0x890a42a2, 0x332c63bc, 0xdebc6072, 0xb4ca4986, 0xac09e807,
+    0x0143fd2b, 0x9f154f4c, 0xfe66be85, 0x613cfa42, 0xc43d31d0, 0xb87fdf6b, 0x1e04263d, 0x8cd7ad33,
+    0xd0c2b29d, 0xa7802c08, 0x480aac23, 0x025f3b47, 0x7ddbf365, 0xa60d6bfd, 0x653e141f, 0x75ec6677,
+    0x5496e577, 0xe85dc64f, 0xa58298b4, 0x189e4bca, 0xa620e0ff, 0xd372d97e, 0xd7491dd6, 0xd72c076a,
+    0x0fac8bc7, 0xc61f6d45, 0x182372cc, 0x67cdc5ab, 0xe018b992, 0xa002facf, 0xf2370bce, 0x4c4f5bef,
+    0x4f637659, 0xb50db585, 0x58853862, 0xc4ebb154, 0xbf8f03dd, 0xee01ffa6, 0x5d847610, 0xeff6e7ac,
+    0xe58c55da, 0xc78d427f, 0x47cd95b4, 0x614d6c62, 0x68605e74, 0x58f1eaa6, 0x794a9035, 0xc60e852d,
+    0x9621f441, 0x44d80023, 0x3e4f85fb, 0x1c5bd714, 0xa408ca90, 0x9bcfd97e, 0x98b23aac, 0x2471d3e1,
+    0xd4d179ae, 0x22ba208e, 0x1d9b89e4, 0x2cf1f7e6, 0x8c4a9c71, 0x6da2b0ee, 0xc98c0e48, 0xed6f3e94,
+    0x22b43bb1, 0x401ac4f6, 0x07922824, 0xa721568f, 0x065ec863, 0x665743a5, 0xd6b7c4aa, 0x687171e9,
+    0x9542fba8, 0x763a9b9a, 0x6f01c58b, 0xefcf4153, 0xb4aed612, 0x271c52a5, 0xa1cf999d, 0x122f692d,
+    0xd6dfe1db, 0xaee51700, 0xf49d32b4, 0x80fbe0d5, 0xbb29ee88, 0xcb9b6abb, 0xa88a9b0c, 0x2058c1e5,
+    0xab1381ba, 0x5a1fa601, 0x1df278e9, 0x517cb190, 0x30a68c79, 0x2621e86f, 0x46b580a6, 0x7df1514b,
+    0x11dfa53a, 0x772181ce, 0xb3578325, 0xa2a3f456, 0x2db1acca, 0x5ddf7e6a, 0x6f2692a6, 0xbe40d768,
+    0x4fcee346, 0x2d29940c, 0xd983e02b, 0xac7a478e, 0xdb1b18cc, 0x265b0b58, 0xa4504ec6, 0x571cab0a,
+    0xc8c84ada, 0xd3ffe1b5, 0xb0bae8c9, 0x3e006be2, 0xab05e550, 0xa3d9b3e9, 0x8fff2c56, 0x818b7b34,
+    0xc342c77c, 0x733de1ef, 0x344573d6, 0x77a100b4, 0x72f12fdf, 0xca24e9a7, 0x8d3d44d1, 0x34168cf3,
+    0x1b2c1c04, 0xd5725201, 0x92de5c24, 0xbd4c5947, 0x0d584696, 0xa9f320cd, 0x15030ff7, 0x9b113c7d,
+    0xef77527e, 0x0acd6c76, 0xa579a793, 0x2cb42d77, 0xafccdbb3, 0x5bf39336, 0xa4a698ef, 0x213015a1,
+    0x0b6247ee, 0x22f53556, 0x790512a4, 0x89cdced6, 0x56aec3fe, 0x793e5ba4, 0x364feccd, 0xaa6d3dd7,
+    0xc5a43c8e, 0x76d277ae, 0x20408dea, 0x886a1807, 0x0a56b891, 0xf9fbc5b3, 0xa5b499de, 0x95b25d09,
+    0xe30580d1, 0xaf156a1b, 0x35002252, 0xfd73890e, 0x1e033423, 0x6774180b, 0x11e6233e, 0xe567b5a8,
+    0xe7c2a9ee, 0x2157bc9a, 0x309ed6c1, 0x56637c60, 0xd15a73d0, 0xf0f6c30f, 0xc9333765, 0x918d595a,
+    0xd95cd55c, 0x684b7d55, 0x1779d02b, 0x816283f5, 0x30dc164f, 0xea1bb834, 0x303f8aa1, 0xfc71fc6c,
+    0x75c93d57, 0x0ac97991, 0x6354cfb9, 0xa3932908, 0x7eb7a4db, 0x06b40d2e, 0x86209a26, 0xdf19b117,
+    0xb0641835, 0x055e2122, 0x9a0e9056, 0x18516df7, 0xdf1f8821, 0x322dc7a6, 0x1e274cee, 0xd924cabd,
+    0x176e6b4f, 0x8527de5f, 0x09811429, 0x12f4d21a, 0x82670b7a, 0x90838143, 0xc64a711c, 0xf1b2fc62,
+    0x8453524c, 0xa29d5199, 0xa70bad00, 0xd1b9f9bb, 0xd0587bee, 0xb258f743, 0xf3112726, 0x8f216eb4,
+    0x7a58766d, 0xa23588d6, 0x2f63d8e9, 0x3ed14bcd, 0xce30457b, 0xcff32c2d, 0xcc2cff53, 0xaad26cdf,
+    0xd4f081da, 0x8cb6eec9, 0x5bb248a3, 0x56caa1eb, 0xe75646ca, 0x36b38940, 0xa6354d81, 0x3a70a231,
+    0x2b852efd, 0x5072a0e7, 0x9f20bc75, 0x895518be, 0xf3d1b338, 0x7094107e, 0x9e397206, 0x9934949f,
+    0x54d31cac, 0x0b7d5d2c, 0x290528dd, 0x3c8aabd8, 0x371874dd, 0xe286b275, 0x47a98ffe, 0x8f78e100,
+    0x9470ffa8, 0xfa3bd48c, 0x46f4c0b0, 0x01295df3, 0x84f166b4, 0x8eb683f1, 0xc9544b67, 0xa60d3691,
+    0xf5774a57, 0x9da70531, 0x77214b8c, 0xf65526b6, 0xf311a805, 0x2afec89a, 0x286760c1, 0x99f7bbf6,
+    0x2090743a, 0xbaa76089, 0xd0df7cd1, 0x5f807575, 0xb64d0f26, 0x7196ebb8, 0xc6206833, 0x8911c018,
+    0x37d9a356, 0x53d775f1, 0x1ddebbfe, 0x19baea10, 0x1adc3e85, 0xe16b055d, 0x16b6027a, 0x41260462,
+    0xce3a3cb9, 0xa2bd1882, 0xbf240440, 0xd3cb729b, 0xef1cb5a7, 0x792595a8, 0x3acdad7b, 0x3a496e04,
+    0x7faafdb2, 0x42d36819, 0xc3bf9841, 0x2322c270, 0x32d1c05c, 0x79dbf5b5, 0xa4b847cf, 0x9834c499,
+    0x7448c48c, 0x768cb386, 0xb0b09b6d, 0x25678d8c, 0x479b6e16, 0x3e2f6adf, 0xfea1bdf3, 0x0383c4c1,
+    0x74c6f3b2, 0x98325a2e, 0x01feb724, 0x6a5366df, 0x0c463603, 0xccb51855, 0x002a9ab0, 0xeac0bacf,
+    0xd46821f8, 0x7a5014ee, 0xbe6e1c58, 0xa252eaab, 0x3e2a5a35, 0xa9c17d87, 0x0320d12c, 0x4c366025,
+    0x9727104a, 0xcc7b3a36, 0x8f75a7ef, 0x144f2639, 0x7c04f227, 0x59943e1b, 0x76976b25, 0x1a581044,
+    0xad75578c, 0xb1ee3265, 0x2d1cf380, 0xdef3a2a3, 0xe9f65029, 0xcccd81e2, 0x389fdf7f, 0x154e89d8,
+    0x0da7cc95, 0x47af186a, 0x83545649, 0x6919ddcd, 0xeece3819, 0x94b876d3, 0x193112dc, 0xcec47392,
+    0xc4bce12f, 0x0d98dfd4, 0xef93d1f7, 0x9d44e3c7, 0xc0c6b767, 0x96a783ab, 0x4b02cdd7, 0x8d88111e,
+    0x2e94f65e, 0xa4341ed9, 0x78fdf74b, 0x45ac963e, 0x95c8cebc, 0x03a51d80, 0x39ed258e, 0x3bfa646b,
+    0x608f464a, 0xf604c623, 0x802cba04, 0x05e42d3d, 0x2acdd353, 0x6a092df9, 0x1919f21d, 0xf0046ead,
+    0x6d8259c5, 0x0d77c17d, 0x78835c4a, 0x6ba3f78d, 0xd9919033, 0xae9934dc, 0xbab1c925, 0x464899d8,
+    0xa5b93df9, 0x746bdda4, 0x0dbd9486, 0xbad65482, 0x8bb72747, 0xa043a850, 0x5c70df36, 0xa17a454d,
+    0x195ed442, 0x6157fd6d, 0x02e6b7fd, 0x65feca7b, 0x4efa58f3, 0xca1a0f15, 0xa4d063ad, 0x5be08038,
+    0xad10686c, 0x176c7183, 0xa79d1ce8, 0x6f2efc4d, 0x897ce680, 0x20d7e415, 0x4bc9abaf, 0xdc74615b,
+    0x8b49053e, 0x991c0a13, 0x800425e2, 0xfdfe0d87, 0xca6929ed, 0x6655f196, 0x25274c18, 0x125a1d7a,
+    0xd8c63d6d, 0xcdf4e329, 0x7bc72308, 0xcb080d9b, 0xce0d46a2, 0xbd857924, 0x925ab2c7, 0x99dfb72a,
+    0xd55f9508, 0xd1900ada, 0x3fe77328, 0xa57ec4ad, 0x2920fec2, 0x4f25a8ca, 0xfadb842e, 0x8b5b36fc,
+    0x00000000,
+    0xd4f60337, 0x4cff162c, 0x80565ca5, 0x61435ee4, 0xb63ad0bd, 0xa3e24bea, 0xe9dd51f3, 0xd06650fd,
+    0x082e7859, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x4d49a784,
+    0x00000000 }, /* 10**02094969989053530796808441405969663457418650909467561465269306475581525629698\
+                         99171512529285908857866057656747784163844544589904418936665155413025765720064 */
+  { 0x00000000,
+    0xec4d01c2, 0x160ff7e5, 0x832c59d3, 0xa5cf95d4, 0x61a8c571, 0x38ad48ae, 0x7291caa0, 0xf0fcfcea,
+    0x1f63b1cb, 0x9cd58bae, 0x61054e1d, 0x37a1c262, 0x0f397d80, 0xcbfa0275, 0xf5b2c952, 0x782f1f63,
+    0x778e66fa, 0xf0897936, 0xdedfb9ca, 0xff128678, 0x8f11f815, 0x8211d59c, 0x4d7c4caa, 0x1dc2b221,
+    0x3011be64, 0x32c3e63c, 0x47055fd7, 0xbe52ae3c, 0x3047ccd1, 0xda5e37f2, 0x87dcf769, 0xecc85e41,
+    0x46f34ba5, 0x9d316b36, 0x084637bc, 0xa2a3c9bf, 0x41101567, 0x2c21cf95, 0x0b753894, 0xe5486239,
+    0x70a4ed8f, 0x15aa7fe7, 0xb8c1c853, 0x76df7f62, 0x5024edff, 0x8982b14e, 0xe6192e8e, 0x2d587ede,
+    0x60ba2da2, 0x1104dcfe, 0xaa7a9b20, 0x4f851df3, 0x102c76d1, 0x705f0500, 0x00495db5, 0xb4ee23f3,
+    0xa0708572, 0x690025c1, 0x8ef74ca1, 0xf0cad92d, 0x6bab24ef, 0x29fe3e57, 0xb248440c, 0xbdec52bb,
+    0x7a7620e4, 0xbd6ee39f, 0xa72e7a8d, 0xcdb10bc1, 0xd2f4032a, 0x3cbc1727, 0x0ee89344, 0xc0a844a2,
+    0x23723e12, 0x38e0763c, 0x8a6fe3d5, 0xbb0e1760, 0xc206b49d, 0xa433cf02, 0x0ce3bb97, 0xcfecca7d,
+    0xb41bbd9e, 0x1856d79b, 0x85649d6a, 0x90e8edc9, 0xce863594, 0x7dce16d6, 0x07296b0b, 0x2ebf4b61,
+    0x15dbbe80, 0x6a1770cc, 0x9c07da1a, 0x95820c30, 0x71e6ef16, 0x3515702b, 0x57a9778d, 0xae2d6f76,
+    0x6456caa2, 0x3ffae611, 0xfe47840d, 0xe662f885, 0xf8c40032, 0x9ffeb91d, 0x816a725f, 0x2fae68b6,
+    0xb5d87154, 0x9ee8aa7a, 0xacc5f898, 0xa28ea63e, 0x605c045c, 0xa8966de0, 0x2c052fd3, 0x767d1483,
+    0x8bcedbc8, 0xa5b5fc82, 0xa895aa55, 0xe7c5b174, 0xdbcf8d1d, 0x5b664a48, 0x68b3c52f, 0x7b7052fd,
+    0x407d6d0b, 0x8bf652a6, 0x50ba860c, 0xc289aa79, 0x0e224c9b, 0xbd533f50, 0x9ab6b6a3, 0x82e9d684,
+    0x6ce7b0d8, 0xa7160c1d, 0x7d0dd71a, 0x0527b0a7, 0xc2da85a9, 0x2e0da2aa, 0xf8ae6a5e, 0x0aff0fb7,
+    0x9e50d393, 0xf189b099, 0x103713c2, 0x088002a7, 0x6923542f, 0x558cf73c, 0xc8cc3d8f, 0x54c51d30,
+    0x98156f7a, 0xfb550174, 0x5ccdf1f8, 0x744d9eb6, 0x8f110fee, 0xfdf207b0, 0xd5804b7a, 0x7a07548d,
+    0x32d3f715, 0x39dce405, 0x913ffd21, 0x31a9938c, 0x18c72a60, 0x20ee9c50, 0xdc8f1146, 0xc7d4afd1,
+    0xcd12c7c0, 0x4b453cab, 0x92267e1f, 0x04e44a11, 0xcdbfa30b, 0xd168ee01, 0x1110291c, 0xfa1a41a6,
+    0x7c4f1773, 0x3fa51a06, 0xd3298d61, 0x9ecb096e, 0x4840f52f, 0xde92e76f, 0xbf70f12e, 0x935b7f1e,
+    0x7579bb26, 0x06541ff1, 0xe6ab7f92, 0x6f3512bb, 0x13e46e0e, 0x12cdd3ac, 0x1d9ad329, 0xb75f62d0,
+    0xa06ceb31, 0xb02ae8fc, 0xbb51c6f6, 0x5e4828fd, 0xb3f3b15a, 0xe32c393b, 0xdc5ce555, 0xee563f00,
+    0x8d461640, 0xbfc3fdd5, 0xa9a655f0, 0x01c7a22c, 0xe2c27147, 0xb89ca599, 0x37dd68b1, 0x2dbcafb4,
+    0x76f7aa67, 0xabf0c5fe, 0xe4760c21, 0xd5e1f6a4, 0x3b26ae6a, 0x3e2b8921, 0x2aab73be, 0x1d4532ca,
+    0xcdcdeb1f, 0x5583192d, 0x18fd79db, 0xf53a3b52, 0xa4a2aa82, 0xd2eba9aa, 0xafbe05fa, 0xc70dcf62,
+    0x21a4f39b, 0xbee153b3, 0xfe17684b, 0x0da35df0, 0x6b072369, 0x12a11120, 0x8576e0ec, 0x275e6bd2,
+    0x965302ab, 0xb2ce66bd, 0x062e7443, 0xa82d737c, 0x9c88f63d, 0x0a125fb7, 0xcb981c6f, 0xac41db30,
+    0x58309e5c, 0x0a4e4172, 0x64d856ee, 0x9373565c, 0x6f5f5032, 0x0ce4b25a, 0x009ad08c, 0xbcced1d0,
+    0x72751b49, 0x1c96f46a, 0xcab16995, 0xb8903fd8, 0x63518e20, 0x5b394cc8, 0x43475531, 0xe915338c,
+    0xc033b891, 0xff643621, 0xd35dd8af, 0x6c1ff894, 0xa19f8ab4, 0x0278a0df, 0x5efb81f0, 0x0a50d65f,
+    0x1eb28678, 0x715a2249, 0x232fe531, 0xb8a0a836, 0xa140d7b4, 0x6eeec970, 0x28ed653a, 0x90f37787,
+    0x19c67659, 0x73458261, 0xef53b834, 0x10ef5a94, 0x63ca3f1b, 0x7719d3b5, 0x5ef6897b, 0xb968f92f,
+    0x66de370c, 0x53300792, 0x3637660f, 0xcc6d9c7c, 0xd2e9c15e, 0x8c83d778, 0xf627b5c3, 0x74576f89,
+    0x5ff66b5b, 0x27b0d5da, 0xa35ac354, 0x67cc234a, 0x1bb23ce6, 0xa35a7d9f, 0x000d0391, 0x89c21d63,
+    0xea3dd4f5, 0x66b7a203, 0x03422d4c, 0x31c7279a, 0xde51ef91, 0x684b47e4, 0x5f11f632, 0x9949654d,
+    0xa28b0c1b, 0xe2631392, 0x03c25fed, 0x4b7c1316, 0x59f0506a, 0xcd7f7f92, 0x863e074b, 0xcbdcdd55,
+    0x3a38c0d1, 0x59daa4eb, 0xa2693203, 0x398002fa, 0xf0caf353, 0x51d62f4a, 0x0f131ad5, 0x20927a58,
+    0x178b7899, 0x62717e9a, 0xfbf16f69, 0x2ddea664, 0x2d4c68e9, 0xc9d7bd45, 0x903ec38a, 0xbbbab7cc,
+    0x6029f8d2, 0x5cb5cd10, 0x316e3809, 0x3b920fb1, 0x16ba9497, 0xe0ea5f0b, 0x5ebd281c, 0xc3d9f02b,
+    0x5502bd7e, 0xfa696f94, 0x5426ebc1, 0xe2c40034, 0x4c3a8d0d, 0xf88d420c, 0x40dab053, 0x46d83643,
+    0xfa2cc4ce, 0x0eb980d5, 0x85c59d10, 0xfaa20b3b, 0x6f8fc20c, 0x34935e45, 0x989354ec, 0xf70f8f0b,
+    0x05c0d0bf, 0xa092c9f2, 0x3b720aca, 0x5d35fdac, 0x75b6cf8f, 0x830a6361, 0x37424dd8, 0x4acf95f9,
+    0x15fdaa03, 0xb323d58b, 0x7685cf5f, 0x7520f602, 0xbab60add, 0xc4216717, 0x6c5442dd, 0x7da0d835,
+    0x9d60ae42, 0xdd07c518, 0xcc67b35c, 0x99a2041c, 0xd5720018, 0x15dcb7a8, 0x13b452d2, 0xb7e77ec7,
+    0xf32967d7, 0x242e40bf, 0x2ce6e6d6, 0xb1718f9d, 0xbd46dc4e, 0x292bdcac, 0xf4036a11, 0xdeb004ef,
+    0xcf639b86, 0x4e76b486, 0xeea534b8, 0x4c991f30, 0xb8a67bc3, 0x1295b422, 0xa489b685, 0x0da6c904,
+    0xafc8cad3, 0x721986a4, 0x6e0488be, 0xbacdee50, 0xfea9a652, 0xc60261ad, 0xccf14ab1, 0x228f9800,
+    0xdd14fa21, 0xb3dd54a4, 0x67721241, 0x2a9d741c, 0x13a2a348, 0x0b93a580, 0xa3dbab24, 0x37b669ee,
+    0x1ed6faa9, 0xdaa673fa, 0x573a19a9, 0x0bc4c953, 0x74865f70, 0x7fa9fa36, 0x232d0387, 0x5c25dee6,
+    0xdd6db462, 0xbf8884f7, 0x9b29a98d, 0x42f14da1, 0x5f777c03, 0x791cd17e, 0x0ac9d43a, 0x4652441a,
+    0x543a16c0, 0xdaa3e1f2, 0xf385ce7d, 0x7162b166, 0xac4d21ac, 0xb7419995, 0xb0cc7b60, 0xd887a003,
+    0xd54c6475, 0xf21984d5, 0x98027291, 0x2f921476, 0x749123b0, 0xc0456db2, 0x5d6e1d1f, 0xd5f944ca,
+    0x2304df54, 0xbaa10693, 0x6d29a98a, 0x2394b89e, 0x9763474d, 0xc1af269c, 0xb5b31d57, 0xf21612f5,
+    0x5f1778b8, 0xa70017a5, 0xfbd1021a, 0x60adc618, 0x28d0fe42, 0x1effd7c8, 0x422ffb90, 0xd0d0cda4,
+    0xf8519d28, 0x23109a26, 0xb3fa476b, 0x323df99f, 0xb7dbce71, 0xf56df77f, 0x283548e1, 0xddea5f24,
+    0x8e77d714, 0x539a6565, 0xc92ffcc8, 0x138dd3a7, 0xa6be4462, 0xa19bdc8c, 0x4f26958b, 0x2a16324a,
+    0x6db7c271, 0xc9086210, 0x4d38e176, 0x390c8407, 0x14607cfc, 0x59cdc554, 0xd1ff2438, 0x8e98df70,
+    0xd491fcef, 0xaee37fce, 0x8b87f6e5, 0x05d5a99d, 0x7e7e3412, 0xfd2f0e6c, 0x3ac5a186, 0x1da56cb0,
+    0x64ae2dfd, 0x1746c2c4, 0xe1b0a175, 0x9c45cf87, 0xb87119d0, 0x76b139b9, 0x9139366c, 0xc2dd36be,
+    0x0ffef5a1, 0xd1f6c6f8, 0xf843b544, 0x69a83c59, 0x01153a8d, 0xf0402966, 0x7e940591, 0x03e30685,
+    0x77ed26d6, 0xd52a15dc, 0xabaf84f9, 0x276f3f91, 0x8a26889d, 0x57c496e0, 0x309d31ad, 0x62a31d1a,
+    0x5497c696, 0xe168dce0, 0x466ef213, 0x63330e82, 0x8ba16814, 0x1c6aee1f, 0x4c8cd996, 0x5f45b2b4,
+    0x202cb41f, 0xe07aae4c, 0x273bb9c7, 0xb5e2fcd7, 0xa5c6a8e6, 0xe861aa5f, 0xfa760864, 0xd704f785,
+    0x0192d8ec, 0xd367ac6c, 0x13c8da72, 0x963458f5, 0xbdeaf878, 0xf3c42b29, 0x03742b70, 0xa8e26c64,
+    0x2c7eb67d, 0x1099616c, 0xd3eab6a9, 0xc5c2dfcb, 0x144b87c7, 0x48f7ceac, 0xa15948fa, 0x3ee0f246,
+    0x28f2fb76, 0x62c91701, 0x114c9af6, 0x725bed8d, 0x2fd467e6, 0xd620b925, 0x27bbbdba, 0x4fb1ad54,
+    0x72180ccc, 0x4bb02215, 0x3acff56e, 0xc8ce94f6, 0xb1ac6614, 0x14246800, 0xde6102d6, 0x0e145d59,
+    0x9c509474, 0x1e60306f, 0x50445fda, 0xc9e2914f, 0x3bedab94, 0x0b22abcc, 0x9a825ad0, 0x76265972,
+    0xcc51d510, 0xb6f33c15, 0x5ca3d322, 0x63e6b2b4, 0xaa972821, 0xe8c45ab9, 0x8df74a1e, 0x6788ccbe,
+    0x57c21602, 0x6e74a582, 0xbb70e83a, 0x24dd307d, 0x2bcaae5a, 0x000d339d, 0xbae1af3c, 0xfb7dd43a,
+    0xc7b4f324, 0x5308a6bb, 0x643cc9f9, 0xfb1f6e50, 0xf34385f6, 0x8020f163, 0xf4429cec, 0xfec4b052,
+    0x06c3461f, 0x1ba52575, 0x1b6ed201, 0x458e16e3, 0xdb25ce3f, 0xe5e3b61e, 0xf5f82801, 0xfe37204b,
+    0xf7471be7, 0x46972f66, 0xdaf17e43, 0x8cc7979b, 0x318b0b70, 0xf0c2b374, 0xd371cbe0, 0x44c9ed78,
+    0x393924bd, 0x97647c47, 0x44c2625a, 0xd867a529, 0x573d02ba, 0x434cfc85, 0xe3c2b522, 0x46663555,
+    0x84611e10, 0x439d2d24, 0xf64b01a3, 0x00c85aa1, 0x9a3c1a94, 0x5bb6a407, 0x53c89456, 0x4ca57963,
+    0xe36897dc, 0x3e818ea8, 0x28eeb279, 0x792eb7aa, 0xfec8a47d, 0x9de43815, 0x0d4e6d34, 0x46dcb494,
+    0xe29179f5, 0x1cafdd41, 0x586b1b98, 0x325c9bc0, 0xcb79d7be, 0x36db6eb3, 0x636a40df, 0x6b04493a,
+    0x9b82a9bf, 0x303c368a, 0x890ac23b, 0x81ba84e3, 0x2a935270, 0xac07090b, 0x80340ce0, 0x859ab4b2,
+    0x3d8c0435, 0x4eb96753, 0x15163274, 0x877663e4, 0xa137e7e7, 0x440f2d67, 0xcdfb8526, 0x239af2f3,
+    0xbbdc1eb0, 0xba9e745a, 0x8906058b, 0xb8c280b3, 0x72b89013, 0x8f0b78ce, 0xebb29a1c, 0xb35a1237,
+    0x22848f29, 0xd6b65289, 0x5351747c, 0x4111fc4c, 0x16f2fe9d, 0xe540c7c0, 0x35f26474, 0x0da9f3e1,
+    0xea88a042, 0x5ad4de09, 0x2cccbc60, 0x0569c794, 0xfcf97a4c, 0x84f099bb, 0x427bbb96, 0x4157399f,
+    0x8dd9cb75, 0x2d46eb76, 0x38d972b3, 0xc9a8d941, 0x4acca91f, 0xd423c563, 0x445261b3, 0x3d45dc95,
+    0xe2584262, 0x5da9420d, 0xde60cc81, 0xad098e07, 0x3fe6e658, 0x11b2e4e2, 0x51e71656, 0x7b3dfd14,
+    0x7dddc3bc, 0x2f31d6eb, 0xae8194a4, 0x0c91b33a, 0x4baf767b, 0x927fcf1c, 0x8516f827, 0x80d99c91,
+    0x45dc679a, 0x57203eba, 0x34fbd555, 0x88c6dbb5, 0x41aef26a, 0xfabf69a7, 0x4eabd908, 0x9c1b99b9,
+    0x868b6342, 0x3f19462a, 0x8b817ae3, 0xe3e55330, 0x5cea1c74, 0x3d069d62, 0x9fcfb048, 0x9b2d9c74,
+    0x1b3876eb, 0xfa864dfc, 0x6e0c31f7, 0x75d60b67, 0xdd9f6711, 0x360033bb, 0x185fb850, 0x599378d7,
+    0x2303f06e, 0x3f85e6a2, 0xe56e9212, 0x99aee6d4, 0x01af9d3f, 0x845a6a06, 0xef16e727, 0xfb1967f2,
+    0xa2e057ce, 0x437c8658, 0x27f10e2f, 0x0b5289b9, 0xb9c77725, 0x6c4e423f, 0x8e2a96b4, 0xace7b1f6,
+    0x25dbbfa3, 0x1ad25475, 0x2013431b, 0x82c288ae, 0xd8af8a56, 0x6b80c7b3, 0x3f836d9a, 0x81caa849,
+    0x18cabc3b, 0x3abf5641, 0x7d43d1d3, 0x9ace555a, 0xf88120f5, 0xa2bd9220, 0x14fa41f5, 0x6417e782,
+    0xf78f2d9d, 0xb35049b7, 0x5eafaaf1, 0xababa92a, 0xba0d25b7, 0x3612c7b1, 0xac21e844, 0xb988d08c,
+    0x15e71921, 0xe4dc9495, 0xe5b4b598, 0x06f52531, 0xc06b0342, 0x4d3c0025, 0xfbdf0693, 0xb46838f3,
+    0xba01cb00, 0xf2a2a1b1, 0xdce4eb8c, 0xb9dc263e, 0x43e81caf, 0xe491da1d, 0xd547993c, 0x57d208e4,
+    0xb827ed7d, 0x51e981f8, 0xd7081624, 0xe1d1584c, 0xc11eec63, 0xe2f045b4, 0xaf5b534a, 0x2949202d,
+    0xaf8282b1, 0x73712a14, 0xda40121f, 0xfaabcb08, 0x921c6551, 0x5cd7038b, 0x578503ec, 0x48cab5f8,
+    0xf26f2bc6, 0x352b143d, 0x06d9676c, 0xfb0fc000, 0xb68f4a9a, 0xde817234, 0xb8b78df3, 0x08012246,
+    0xcc68f5b5, 0xf40f4fe0, 0x42b3adf6, 0x76120947, 0xabd59c1d, 0xf2046b9d, 0x643dc697, 0xf7b21bea,
+    0x1cafccbc, 0xe2237c7a, 0xb318a4d6, 0x5b46877a, 0xf58aa83d, 0x4ba43de3, 0x4fbb8be0, 0x082d4d61,
+    0x2c5494ed, 0xb5886e03, 0x093c7966, 0x84f3d4ac, 0xc146b7c1, 0xdc23a06e, 0x7a9c5849, 0x95b516dc,
+    0x7e7d1aea, 0x5f8d3727, 0x32afc969, 0xd948e752, 0x7fe0406b, 0x27c90008, 0x204855dd, 0xf2e46acf,
+    0x9f463c11, 0x64f22a93, 0x130a73c3, 0xa15a6bc6, 0x17a9bc79, 0xdabc26a4, 0xa74ddbcb, 0x32e1f5c3,
+    0xd3085e39, 0xbac28059, 0xab11742a, 0x79228815, 0xb3fb3fd7, 0xb99b6e97, 0xdf193cf0, 0xe260d7f3,
+    0x897a0940, 0x8572db69, 0x0edf98ac, 0x8691d195, 0xed194965, 0x1e0a91aa, 0x0a5fdf2d, 0xada1bd83,
+    0xf358060d, 0xe4c51356, 0x292b0411, 0x589ca116, 0x62ba0477, 0xc930368f, 0x22f5075f, 0x987ce4f8,
+    0xdb652ccd, 0xcfc1823e, 0x4a47d3ae, 0xa586d14d, 0x31e99e3a, 0x6f709a8b, 0x8c32d0f7, 0x53629efb,
+    0x91146aed, 0x49edcbb3, 0x9c0062b4, 0x63a6dae3, 0xd53ab54e, 0x6b16b07a, 0x1f53d88f, 0xb4ceec28,
+    0xd42839d7, 0xb52fee25, 0x03cf3b93, 0x982538a2, 0xf699aa7f, 0x1058f059, 0x1ae88d93, 0x59ecd770,
+    0x26451169, 0xe97576ec, 0xc4fc9c0a, 0x2b14510c, 0x60421823, 0x02538287, 0xb3ef555f, 0x05f3fb5a,
+    0x645c70fe, 0x1714dfff, 0xe80e4c9b, 0xc99616b7, 0xb7feaef6, 0x12d127cd, 0xf58498ce, 0x38c29fb0,
+    0x75bc6db2, 0x32bd3531, 0x55857735, 0x2bec89fc, 0x443a3569, 0x55a473e2, 0x63ae4746, 0x5ce547b6,
+    0xa06fa1af, 0x876a0a7a, 0x8f23cc77, 0x96e90f9d, 0xdf8f335e, 0x966bd5d0, 0x3ac085ce, 0x869fed11,
+    0xa3f83d85, 0x052b7d1f, 0x934f4c30, 0xd0e45da9, 0x10a7cfbb, 0x346378b9, 0xe9d848dd, 0x85ae55b7,
+    0x48225931, 0x9266bb40, 0xfb08006d, 0x8186327b, 0x3deae1a1, 0x8fa95329, 0x1c255415, 0x493fee77,
+    0xc7f361d3, 0x92b33489, 0xcf548561, 0x6f3c7f03, 0x67a3684c, 0xbf17386d, 0x996282b0, 0x0785875c,
+    0x31fc75cd, 0x0ad5e4bf, 0xbcaa0554, 0x7241e0ba, 0x94707062, 0x6d42a7b1, 0xc74950b9, 0x16d87fe9,
+    0xe76171ec, 0xcb6a5298, 0x914e7431, 0xabbb4fc3, 0x4c74c189, 0x95d2ec01, 0xe59e10e0, 0x6312e409,
+    0x144685d1, 0xb0ebd05d, 0xd3eef2cb, 0xccb0aeee, 0x2b68037a, 0xd43bf38f, 0x52eb0066, 0xd872111c,
+    0xbcca7ea0, 0x9fdfa5b6, 0x9e6cec03, 0x8a256db2, 0x2d71bcfc, 0xfe0b54d0, 0x197db6eb, 0x22b48960,
+    0x656bcebb, 0xeb313d0a, 0xd445bdc4, 0xcc223dc1, 0x96ae28dc, 0xa1570a95, 0x7bfee26f, 0xa536c52d,
+    0xa68a2062, 0xb0b6c0ca, 0x68911d9d, 0xefad154f, 0xfef3dd84, 0x966c7bfe, 0x70dd79fb, 0x258cb890,
+    0x46d04cf8, 0xc54e6fa5, 0x9c68507d, 0x511f206c, 0x5e62e6b3, 0xefda0965, 0x134ca23c, 0x4b9a5634,
+    0xe4e8fd3c, 0xceb43565, 0x06c1978c, 0xc0a8327d, 0x82b26979, 0x73a17f88, 0xf2d21d78, 0x858eb8b5,
+    0x00000000,
+    0x6a7b019b, 0xa67f8b16, 0x402b2e52, 0xb0a1af72, 0x5b1d685e, 0xd1f125f5, 0xf4eea8f9, 0xe833287e,
+    0x04173c2c, 0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x46a4d3c2,
+    0x00000000 }, /* 10**01047484994526765398404220702984831728709325454733780732634653237790762814849\
+                         49585756264642954428933028828373892081922272294952209468332577706512882860032 */
+  { 0x00000000,
+    0x81ac704c, 0x0355f539, 0x37b9a3d1, 0xff0afd93, 0x829366b2, 0xeff688d2, 0x568092a0, 0x53d1fe2f,
+    0x0f5a547a, 0xa1b7b3c9, 0x7ed84c6d, 0xc7d4c7ac, 0x84eff3cd, 0xc7aa2b3c, 0x06be0fa3, 0x69adef47,
+    0x065c0062, 0x20a9f88f, 0x7d2c3c0b, 0xdae848a5, 0x8bad9aa6, 0xadbf214a, 0x78b17fcd, 0xddfc1632,
+    0x589d48fa, 0xdd013cdd, 0x98c45cbc, 0x109e08b2, 0xc5c34602, 0x97b49346, 0xc815a211, 0xa89c3d34,
+    0x360eee87, 0x8783bfc9, 0x611ecca5, 0x24e39ded, 0xb1a02448, 0xf104dee2, 0x621f1247, 0x46f3d97c,
+    0xadb4b483, 0x0b199f56, 0xd1dfdda0, 0xfaad0114, 0x0e64230d, 0x00676d14, 0x31229743, 0x864cba0c,
+    0xae18dd18, 0xc31d0ccf, 0x9995d297, 0xbe579cfc, 0xae573b8f, 0x7a1f2274, 0xeb478c45, 0x6078ae1a,
+    0xb9ce0abf, 0x3001824a, 0x061f63a1, 0x6b323ff8, 0x1d2bea58, 0xe72d160c, 0x5badeecc, 0x16e7eba3,
+    0x9ccaee3c, 0xd74a514e, 0x430c3f5a, 0x64394a0a, 0xbeddc6bd, 0x265408d6, 0x626a8d17, 0x46975fc4,
+    0xddc29493, 0x44c81748, 0xb8f3f4c7, 0xcfd9fb95, 0x1144cb7a, 0x2f178566, 0x10ea11db, 0x75135cc6,
+    0x5d9f08a7, 0x9fac92d3, 0x2544dd22, 0x26f42ce0, 0x672e65b0, 0x468aec75, 0x8a3aeb99, 0xd38b88f5,
+    0x8fa07665, 0xc7611a64, 0xb1852b00, 0x1f0a4eb2, 0x87ed688a, 0x2b87b9f1, 0x0de0e7a6, 0xe4770690,
+    0x3bb7578c, 0xf97449c5, 0x7dc9872e, 0xdfcd3554, 0x25c512e1, 0x73de3f59, 0xbb8ba0b0, 0x0b8ac5c2,
+    0x9a03a7a3, 0xdfa0eea9, 0x61c19bce, 0x1559958b, 0x72cfc476, 0xe724367f, 0x9df65082, 0xeb8cc9ff,
+    0x365c5802, 0xe6a6bef0, 0x792bf6b0, 0x013bbcfc, 0x2ccb593f, 0x94a7f4f7, 0x523d23d5, 0xdf934751,
+    0x1fdd2236, 0xb001f3ab, 0xb273a061, 0x47e8531b, 0x1ebb0c7e, 0x20ad0b6e, 0x252594c4, 0x6a55e3e1,
+    0x5d3c5c1b, 0x867c1772, 0x666922e2, 0xd7c02201, 0x337a501e, 0xc681ee51, 0xb47bc138, 0x0f327c2d,
+    0xeac8c4c5, 0x6a9f94aa, 0x920f151f, 0xce05b8a7, 0x8c03e666, 0x9712e285, 0xd2f310ac, 0x50381b1e,
+    0x4293d81b, 0xcd427ace, 0x60cbd560, 0x30efb80d, 0x53771b4a, 0xb065bf64, 0xf9f3f7ac, 0x989b1504,
+    0x2999286d, 0x82de3bef, 0xfcf81866, 0xb08c3be1, 0xb3a7eda1, 0xe99c8cdd, 0x6dfb6f5f, 0x53926d54,
+    0xc9b8da6f, 0x5365f364, 0x2f9739e9, 0xace6ba95, 0x35d6943a, 0xb4a5fa65, 0x8873ca33, 0x8a17514a,
+    0x08a5e351, 0xef1baa37, 0xadf13cb9, 0x280fe3d3, 0xaaeff315, 0xf6700edd, 0xb19f41e7, 0x58a36a65,
+    0x2dbcb796, 0x30d24d27, 0x043ebeba, 0xa84209cb, 0xf45fce61, 0x65e848a5, 0x45c4240a, 0x0b2faeb9,
+    0xcba7ede9, 0xb354b65b, 0x5f7e784f, 0x6d77d328, 0xc94a1796, 0x52c430a6, 0x196b3860, 0x2e3b5a4d,
+    0x72ad65cb, 0x4c48f17c, 0x4fd77c57, 0x6890f901, 0x70f35b4b, 0x528a7e53, 0xeca3c5c3, 0x4d5bbb7f,
+    0x4efaa817, 0x2c537881, 0xc900bebf, 0x9281c730, 0x4f5f2981, 0x51faea28, 0x6849324f, 0xfcd6d49f,
+    0xe51a892f, 0x176c1adf, 0x1bb5a79d, 0x658bfc2f, 0x6e471e55, 0xbe396e9c, 0xdc24dba3, 0xac5e7f28,
+    0x0dbc40f7, 0x9b2039b9, 0x6727bda7, 0xd501213c, 0x5574f657, 0xbce85521, 0x188b8656, 0x96ea5997,
+    0xb17dc789, 0xe7bbb11f, 0xa20d4a34, 0x7f32ee43, 0xad4a07ef, 0x2fcd4f91, 0x020775d3, 0x290846c1,
+    0x0f31d624, 0x90a459f0, 0xa1a260c7, 0xefc656da, 0x275527dc, 0x378584b0, 0x4df1a7d5, 0xb3748322,
+    0x498d3b4d, 0x31194aa3, 0x81bd9495, 0x6ead87c2, 0x1db4beaa, 0x4d8e51b1, 0x00d90072, 0xdcf7582b,
+    0x83a59e9a, 0x513b87e4, 0x8489607f, 0x0f8f9719, 0x51282378, 0xae73f58e, 0x37a9bc59, 0x526ee37d,
+    0x9afee9c4, 0x0cd455c9, 0x3e6e1b3e, 0xf8a082e9, 0x2309ac5d, 0xb8ac4a76, 0xd2e2ab7a, 0xcc23336b,
+    0x6dc8b93d, 0x03a45127, 0x304353cc, 0xba373a30, 0x25e48a2b, 0xe7d4bc7f, 0x29eea08b, 0xb1f2dd0b,
+    0x0ba15cd6, 0x26ae4fe7, 0x4cece682, 0xfa6a6be2, 0x7358267b, 0xbf071a9f, 0x577fd73a, 0x9673aece,
+    0xc938bd00, 0xbac70a9c, 0x0a27b369, 0x4afaa4a7, 0xcdbd2e9e, 0x0b979d1f, 0x60d920e7, 0xc47b39b1,
+    0xb2791eeb, 0xf1bb1616, 0xaa5ed9a4, 0xf272b59a, 0xa2dd0dfd, 0x35aef2ba, 0xa4b46b28, 0x69f9a3fa,
+    0x6334ac73, 0x1270a393, 0x9b1a9592, 0xa3e43044, 0x7b0f6c37, 0x30f3c09f, 0x27890659, 0x7a994425,
+    0xd392a2c3, 0x8d33b8f4, 0x8040f5de, 0x238ab1da, 0x127e0d36, 0x323f81ce, 0x326ca4cd, 0x041f5d28,
+    0x76668c58, 0x6a1bae51, 0x71e428f8, 0x30435614, 0x3080f70b, 0x23f4e149, 0x9871901e, 0x84bf3656,
+    0xb48012b2, 0xc6648416, 0xb6de1236, 0xeb65673c, 0xf19a5f81, 0xc789d140, 0x2037d586, 0x37efcbd9,
+    0x65b29193, 0x3d593c01, 0x9127b753, 0xcabfcce5, 0x5f952059, 0x05cfad7c, 0xc78352a7, 0x19b185eb,
+    0x2e9a249c, 0x927ddc46, 0xca83ad7c, 0x871e3dbf, 0x20b8d543, 0xdbc57605, 0x7e85ab4d, 0xe00ded8f,
+    0x597065e5, 0xb0c67d0f, 0xda8cc961, 0xf914865a, 0x7d0f68a8, 0x44a5850d, 0x70ea60cd, 0xd46a3f2a,
+    0x0d02b6f6, 0x80f2b911, 0x1a9cf5a3, 0x98c2d80a, 0x0ddbce93, 0x7aa8fbca, 0xc133ac71, 0x135209e0,
+    0x0034c3df, 0xfffe6d4f, 0x74223af8, 0x024fe891, 0x49296069, 0x6703fdd8, 0x202772a1, 0x0f17948c,
+    0x243772d4, 0xafb3a3e5, 0x31a9ad93, 0x9b840189, 0x0d109523, 0x15f148e1, 0x7795eb1d, 0x8da6d8d0,
+    0x15a023bb, 0x95fb2b49, 0xd815af75, 0x940141b2, 0xb4160c9c, 0xd31bce53, 0x1fe40fb6, 0xd745fc3b,
+    0x827f3976, 0x5fe3198f, 0x707c93ac, 0xc4d2bfb2, 0x76a3903e, 0x0ddbafa0, 0xb356dc33, 0x9754ed4b,
+    0xaad73815, 0xa0f1f549, 0xa9a61f1c, 0xe720343e, 0xb72adff9, 0x7f4c287d, 0x78b5a2a0, 0xe28366a0,
+    0xc90b250e, 0x59f6bb93, 0x933b06e4, 0x48a5ad25, 0xa10a507d, 0xd1a06737, 0x8de36bb7, 0xe8dc3226,
+    0x2cd1bf4a, 0x71c37e17, 0xc592b6cf, 0x64be9273, 0xdfc427e1, 0x39f965de, 0xe39fed64, 0xabf761bb,
+    0xf41814a4, 0x730c1416, 0xca9e1fc1, 0x3f2aefb4, 0x25c9eea8, 0x0c9743a7, 0x8ebeaf4e, 0x217bcc10,
+    0xc46d7495, 0x80101619, 0x39c3a2bb, 0x21dc8ae8, 0x28e58b5e, 0xf98f0686, 0xb97018ff, 0x4b891dad,
+    0x091acd56, 0x34e1b10f, 0x27ad84e9, 0x280562ff, 0x44b828f5, 0x674de576, 0x55e85e72, 0xce84bd8e,
+    0x20712124, 0x0c11fd57, 0x74ed1d0c, 0x502ff604, 0x53138368, 0x5284042e, 0x558da44c, 0x172a9446,
+    0x84b3704c, 0xc5c24fd2, 0x4934651d, 0x72cb1944, 0x09514bea, 0x9f6fc027, 0x334d9c49, 0x1a6326d0,
+    0xb58b256a, 0x5be0feae, 0xf86dca2c, 0xa768f0a1, 0xeb2f00e1, 0x19ec0b08, 0x249489fb, 0x4c1045d3,
+    0x8b69ffdb, 0x0918c99f, 0x819242b2, 0x11ca6a62, 0xc85928cf, 0x9c4eb50e, 0x78aff70e, 0x6f6e5d5d,
+    0x1d6bc556, 0x0fabaf79, 0x1bb3e7ea, 0x402f0364, 0xa9a2e16b, 0xb08c9bba, 0x494914f1, 0x88ab5254,
+    0xb10e6511, 0x59eeebda, 0x02be1486, 0x1a008307, 0xb26993a6, 0x1274096e, 0xa32cb0d5, 0x471dc006,
+    0x840179d2, 0x934fbfe8, 0x7dbfc7c0, 0x8dc0d2d9, 0xf043f263, 0x49c431fc, 0x4639510a, 0x5bd3b84e,
+    0x8c4fb842, 0x9cf0d80f, 0xc4d55ccf, 0x727bf22b, 0x22cb4a1d, 0xcf0d0338, 0xe2e8edc7, 0x25b63343,
+    0x2da96edc, 0x81c59475, 0x11994985, 0x38408cd3, 0x03b12113, 0x644b9248, 0xa735cd39, 0x6a327894,
+    0x448a7d97, 0xdf5d74ec, 0x71025d47, 0xfc9494f1, 0x456df85e, 0xcd89edf6, 0x3751aa9f, 0xb4dd10b7,
+    0x382612f0, 0xa006551d, 0xe6713360, 0x9d6a926e, 0x3ba0fee4, 0xcb870248, 0x2003890a, 0x0063d7ab,
+    0x8ac56cdc, 0xef59f38e, 0xaef29c15, 0x6ba13f85, 0xe947560a, 0xb43c9432, 0x2be416c8, 0xacd448ad,
+    0xb7ddd74d, 0x0d1f7ffd, 0x39ddf808, 0xa647d46e, 0x039c3e50, 0x1efc546b, 0x55440b7a, 0x1d696fb0,
+    0x2a710cc0, 0xff19ffb6, 0xa9c6269d, 0xb4f7ec90, 0x83be337f, 0x2d9d362e, 0xf44bfe51, 0x5837b01c,
+    0xdd7a7371, 0x06282170, 0x757a3f6a, 0x7849f34c, 0x6330839a, 0x6ef41f8b, 0xacd7d21d, 0xa78b6bfb,
+    0x885c425b, 0x5012b6b2, 0x43621134, 0x5663a222, 0x3ec17883, 0xca86b9d7, 0x45be2178, 0x4b94edf3,
+    0xf73c8f30, 0x3bdbe893, 0x4fdb0f60, 0x64a4e1b1, 0x247db6ef, 0xd667507a, 0x6a13ed7f, 0xdb71670d,
+    0x198fc77f, 0x3ac254fb, 0x024ed02c, 0xc06256db, 0xa7699a4d, 0xa0e6bd85, 0xf2f721ba, 0x0817a5b6,
+    0x62d75952, 0xc37d5b1b, 0x9e632b98, 0x61364f97, 0x1b4d223f, 0x4d408241, 0x7fbe16aa, 0x313e4650,
+    0xf60a0577, 0x2f8ebcd2, 0xd9e421bd, 0x87646767, 0x85e89acc, 0xc38afb58, 0x0ddddde5, 0x4f8a3f5f,
+    0xd8fdb5fa, 0xffd076b1, 0x5cd912f2, 0xaacf12b4, 0x9f645fc3, 0x12001eef, 0x13e6b24a, 0x78f006d2,
+    0x5001bc84, 0x374205c5, 0xf24e9fc6, 0x406f3af1, 0x65217156, 0x56e5822c, 0x1fe83cee, 0x296eaa0b,
+    0xbd74cb88, 0x7ef7160f, 0xd1e1fe5c, 0x71353287, 0x8df183a1, 0xd58e0164, 0x53e3454e, 0x615c917b,
+    0x21ce73c8, 0xc78fdc88, 0x3cc9b3aa, 0x91084104, 0x396b2603, 0x07cd5e07, 0xe9ec1030, 0x27b8404d,
+    0x965da09f, 0xbc3a94cc, 0x266cb3f2, 0xf12aa5a9, 0x4ce03d31, 0xb6bbeee9, 0x512aa4a5, 0x03755fd6,
+    0x2b7e2d98, 0x891e1e76, 0x0331ef00, 0x31819440, 0xeb154c89, 0xda527bb0, 0xaf56708a, 0xd908e0c3,
+    0x0ef64d51, 0x1a084664, 0xe6f78848, 0xcd168624, 0x3d4d9f0f, 0x66671f97, 0x4a51d447, 0xdd1b5544,
+    0x84faa1e9, 0xc0fbca50, 0x1d8e839c, 0x1eccc1eb, 0x60f4f5b4, 0xf2965749, 0x5ca6ee25, 0x61cfc0f3,
+    0x7665114b, 0xda3a5181, 0x3315abbe, 0x3767ebe3, 0x2f8a9b43, 0x02c21a45, 0x23d35167, 0x59c36426,
+    0x30b59122, 0x04cb1650, 0xd521ce07, 0x21f1cc3d, 0x56c67845, 0x7366ab43, 0xbebc72a1, 0xa72d45c9,
+    0x4e724853, 0xff035f3f, 0xca7968da, 0xfbf3dff6, 0xdc0e1ca0, 0x63c73e2c, 0x78deef78, 0xd373e2f9,
+    0xda1448b8, 0x7270ff79, 0x38c11bbc, 0xbf13c6d7, 0xe5d786dd, 0xebec9056, 0xeb8f568e, 0xc8098391,
+    0x398e30b5, 0x800a7ffe, 0xf12b5bfd, 0xce48ba76, 0xfad42cab, 0x929cc348, 0xf2893d99, 0x3585ec8a,
+    0x8f3bc911, 0x44c486f3, 0x555e4a23, 0xe28f050d, 0x0fee640c, 0x907f6ace, 0x7cb50ca7, 0xe94a87ac,
+    0xc67a10fc, 0x0e2037cf, 0xbc9d50a9, 0xe4bdb8ed, 0xf4b49007, 0x2be775c3, 0x53e4122b, 0xe7090457,
+    0x42387e26, 0x1e864332, 0x6a7e1560, 0xe162f5f8, 0x0761553b, 0x5850f359, 0xa9415ae7, 0x9a996343,
+    0xc0413336, 0x29107c72, 0xa124c9eb, 0x11329bfc, 0x141c4242, 0xb9e495dd, 0x6867b65c, 0xcd6cdac7,
+    0xd9aed057, 0x562e0218, 0xcf2b1307, 0x7dc91d21, 0xd65980c1, 0x540cafa9, 0xc77cfeca, 0x1ed092f7,
+    0xf12edebb, 0xb58ab4fb, 0x113e44ae, 0x522d7e90, 0xf41ff6c1, 0x6e6ea0b6, 0x92d8ed90, 0x504718be,
+    0x5bbed321, 0x03b4a939, 0x8c1bd7ef, 0xb8bcddd6, 0xb6ed3651, 0x2b06163f, 0xfa0aae11, 0xacb7a283,
+    0x381a4795, 0x98576c94, 0x780ae238, 0x851f4f90, 0x3dc0c188, 0x4cceee60, 0x368ed180, 0x90778e31,
+    0x28e6b9be, 0x5ce3450a, 0xf3042724, 0x3d1c3826, 0xbb0bef50, 0xc6b6340e, 0xa05c5f1a, 0xad4c108c,
+    0x9a4c1501, 0x9d9cfe42, 0x730db8c5, 0xe7342fa7, 0xceb5e492, 0x1155ac83, 0x5c14aa50, 0x7be82512,
+    0x0ac3bb0e, 0x91216b3c, 0x21fa45c8, 0xe0a4f609, 0xbedfb7b3, 0xa9fcf162, 0x0fdf5a0d, 0xf162c1fb,
+    0xd0485971, 0x1f40769f, 0x5fc2dd34, 0x820b1710, 0x210e2533, 0x3c9ed708, 0x311f358c, 0x10048344,
+    0xa9476f0a, 0x9aeda316, 0x2ccf37ce, 0xa65526b3, 0x686c89cf, 0x02691fde, 0xc09366ce, 0x8f185855,
+    0x46177b97, 0x5dd9d407, 0xa1383b6a, 0x3dd29828, 0x9edec435, 0x4c048eac, 0x3155455e, 0x29b32d2b,
+    0xecc6e26d, 0x89935345, 0x908ba541, 0x4ec6272a, 0x0d751813, 0xb62d53d4, 0xba602e89, 0x3eea215f,
+    0x8a50355f, 0xea20b5bf, 0x89e23494, 0xd4624b38, 0xc284ec91, 0x48671a00, 0x27a5ad26, 0xe9284c56,
+    0x440d9197, 0x3c39a089, 0xf4dad4af, 0xecce775d, 0x8580e576, 0x3770bcc0, 0x17396557, 0x6f80c167,
+    0x2551aadd, 0xc489c467, 0xcbb38910, 0x2dc2a482, 0x1851644c, 0xec8fa0a6, 0xa5b5742e, 0x993ca8c9,
+    0xe45a9e60, 0x8884d70a, 0xcdbeda70, 0xa88dc11d, 0x045a086b, 0x320aa9a5, 0x8ad43dd3, 0xc307065c,
+    0xabb247e5, 0x322b455c, 0xe8a59e58, 0x3be5e625, 0x2cabb89f, 0x3991c322, 0xf62fbcde, 0xf620d292,
+    0x1cfb7eeb, 0x658d99b4, 0x5f81b2d5, 0xa9c09bf9, 0xf8e0e476, 0x0426ea48, 0x9482c575, 0xfdf9d024,
+    0x2d0b69f4, 0x1e531ad0, 0xc0a42180, 0xc92a1a26, 0x7e20463f, 0xcde564ba, 0xd8e82859, 0xdc399a39,
+    0x14a40225, 0xc88aa165, 0x8c69db0c, 0x7ebfae5e, 0x10354af0, 0xdc59859a, 0xdcc25a51, 0xc2fc3c03,
+    0x4082120d, 0xaf393880, 0xc44a9158, 0x3c8818f4, 0x4856c310, 0x23d16fb0, 0x495a4961, 0x36e79343,
+    0x3a1fc930, 0x4222531d, 0xa4373b2a, 0x46cde54c, 0x6d8364b3, 0xe4f15ddf, 0xc11ed1d1, 0x3d925d9c,
+    0x72ce0d2e, 0x910e6384, 0xc18f5a3b, 0x6245b9b2, 0x5fc4e7bd, 0xee76e0bb, 0x467858f9, 0x1c37035b,
+    0x09a459c7, 0xee0cef7a, 0xa0c19bea, 0xbb86a720, 0x3d9fac21, 0xebecaf92, 0x8703e493, 0xadd743ef,
+    0xaba9d26d, 0xda1a388d, 0x7de97bd6, 0xb66ee963, 0x43d39420, 0xfeaebacc, 0x209ee43d, 0x82ed09cc,
+    0xa84a5654, 0x78ccfbca, 0xa80c2068, 0x28eeb16c, 0xd11bfe36, 0x8e797cdb, 0x8b58f309, 0xaf1e4bd4,
+    0xc78bbe89, 0x2d6ef926, 0xe3fddc1f, 0x5a0c1101, 0x1065dc7b, 0xb6fbb3ad, 0xb63f0af9, 0x9618488f,
+    0xef4da3f0, 0x6ca0af72, 0x7ae6ce49, 0x42ccdf8b, 0x49961a37, 0x9f4469c8, 0x82468305, 0x4457a8a4,
+    0x6e9f3c76, 0xea826baa, 0x410d19f9, 0x3508c623, 0xf28aa616, 0x272bc3c9, 0x28846a0d, 0xefc49f82,
+    0x758d0807, 0xd0e361bf, 0x01e1c7ce, 0xdfd87758, 0x9c3c1be0, 0x229436ba, 0xae5267d8, 0x50ad626e,
+    0x28a78f04, 0x6f6f2d53, 0x4ab7ce17, 0x7c65a4a5, 0x951541e6, 0x382298ca, 0x93a19945, 0xf32ac10b,
+    0x629cdd29, 0x293aa7c3, 0xc1379f1a, 0x6d970d54, 0x1b7313a3, 0x506cffdc, 0x88a1e63a, 0x2c301672,
+    0x767e7b6f, 0x1582ce53, 0x9f69b604, 0x8da8843e, 0x71e1ac74, 0x980b4aa3, 0x138cbdf6, 0x04f97bd8,
+    0x6c7e4ca9, 0x3d1d2c98, 0xc2685322, 0x66254ebd, 0xb0e498a6, 0x584a6c46, 0xffce088a, 0xee77c8ba,
+    0xc8b5457d, 0x6c9c3c1f, 0xfe4e2201, 0x42e56ed6, 0x00fdceb4, 0x506148c4, 0x01e285ba, 0x82bfcd71,
+    0x00000000,
+    0x353d80cd, 0x533fc58b, 0x20159729, 0x5850d7b9, 0xad8eb42f, 0xe8f892fa, 0x7a77547c, 0x7419943f,
+    0x020b9e16, 0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x435269e1,
+    0x00000000 }, /* 10**00523742497263382699202110351492415864354662727366890366317326618895381407424\
+                         74792878132321477214466514414186946040961136147476104734166288853256441430016 */
+  { 0x00000000,
+    0x77c24ad7, 0x2833d32e, 0x3d78696d, 0xaa308081, 0x85e10b20, 0x0c829008, 0xed2051ad, 0x353039f1,
+    0xa2e0ac3e, 0xc2c8ad07, 0x0807ccd3, 0xd7e04c6c, 0xc39882ef, 0x50846204, 0x06990130, 0xc9b54eec,
+    0x7161be26, 0xa6997cbd, 0x7f91f87d, 0x5f8c857e, 0xdb591eeb, 0x874142a5, 0xf305e4fe, 0xaa2efcbf,
+    0xf5a9cd8e, 0x62257b27, 0xe3788232, 0x1e89912b, 0x4579c999, 0xad5eba39, 0xae8f164f, 0xcc3cdc8f,
+    0x3979266a, 0xe6c0e935, 0xb96d516e, 0x0e21e1c4, 0x97a79726, 0x2e682731, 0xb70ef406, 0x4c7cebf0,
+    0xca6c6793, 0xde6a1f30, 0xdf70ed7d, 0x9a2b0546, 0xb0c6ba0c, 0xd02ad632, 0x443df78b, 0xdf24cd0a,
+    0x663e6b92, 0xd100b0e0, 0x6ff966b0, 0x1edf1e9f, 0x3bfd7b49, 0xadaa5bbf, 0xe296b588, 0x594b1a01,
+    0x1d595aeb, 0x77355632, 0x2b49689e, 0xf6f1990a, 0xcf7737dc, 0xfc9ea8eb, 0xd11d2eec, 0xb9e2e52e,
+    0x23de0ae7, 0x8e619f01, 0x780d4c80, 0xe5360893, 0xc58507c3, 0x40330947, 0xc4e06d76, 0xc2d6ad65,
+    0xe34c0a43, 0xd17f0da2, 0xfb32bc4a, 0x0710d998, 0x2de8690b, 0xe2f98e5c, 0xfe2a943c, 0x5926a04f,
+    0x08f1835f, 0xff2e259c, 0x523d71d0, 0x8d02e46b, 0xef37a47b, 0xeff3e637, 0xbb7e9dae, 0xb83abdae,
+    0x9af7d03e, 0x7cf41042, 0x0c3207bc, 0x38470c39, 0xf42cefba, 0x4202826b, 0x430756e9, 0xdf01f36a,
+    0x5e7a339d, 0x11af981e, 0x432a0e49, 0x25c2c8d5, 0x71125384, 0x74fbddea, 0xaaf279be, 0xe8b2a280,
+    0x92aa4086, 0x6c3023b7, 0x07f70fbf, 0xa6c51e3e, 0x11604c8e, 0x1b632cfd, 0x8bd4eceb, 0x6a48eb10,
+    0x091f5b8e, 0xe90fd584, 0x9b60af4a, 0x651cd8b0, 0x3f7800f3, 0x282cc8b7, 0x3d6856f2, 0x1b0ac96c,
+    0xe88332f7, 0x2ff2b9cb, 0xddc6e837, 0xcccd22af, 0xcb2dfd8e, 0x9fec3e32, 0x3739177d, 0x9f694729,
+    0xed6eaa70, 0xbc7686da, 0xec09d5eb, 0x79f004b5, 0xcddbc3fd, 0x9890f56f, 0x08501e73, 0xa123fb84,
+    0xd3d0a238, 0x834f5a40, 0x511d9bb5, 0x7592144c, 0xe3555793, 0xc047e279, 0x3e543002, 0x4c12f801,
+    0x41e53c26, 0x70698893, 0x9d660542, 0xc489a817, 0x7da88fce, 0x790493fa, 0x748f6b90, 0xa8929dd2,
+    0xd623427f, 0x03a0d965, 0xa1a4fdee, 0x28afc016, 0x652699f0, 0x7c7e6588, 0x2f05afa3, 0x49cb39a9,
+    0x266dc066, 0x2753d61b, 0x0ce337e1, 0xb41980b0, 0xb557cfbe, 0x8fd11da4, 0xcbf311a1, 0xb5913b12,
+    0xc0cc7dd0, 0xfdecfcd8, 0x5e65c247, 0x902d6bee, 0x35ef5a5b, 0x8ade63b2, 0x911caaa8, 0x3c6925bc,
+    0x12d1f5e5, 0xb4ce9362, 0x33bb1e43, 0x672932fc, 0x7dee50b6, 0xd1427160, 0xae2b0d3f, 0x69776912,
+    0xbc02e746, 0x6bfdaf0c, 0x5b5a9dcd, 0x5b63ed79, 0x97553522, 0x1db84eeb, 0x787556f6, 0x31c93ede,
+    0xc7bec9e7, 0x66ac1392, 0x7e16731b, 0x14ab0f20, 0x8573ce0f, 0xd50a0945, 0x6c6eb11e, 0x7592cac2,
+    0xc2a5315d, 0x6d5f7c68, 0x33bcc876, 0xc959444e, 0x80204e7b, 0x9d3c4612, 0x3a08ef39, 0x95ef8f84,
+    0x7c69345d, 0x7c2c9718, 0x860677f2, 0x5fcad5e8, 0xc19bdc96, 0x5b84f114, 0x597d705f, 0x96ac6efb,
+    0xff808823, 0x653849a4, 0x594d4ee8, 0x4895554c, 0xd04601e6, 0x9a22b182, 0xef124e4a, 0x9a4defc1,
+    0x312e0268, 0xa994a80e, 0xd96cb814, 0x40b9f3fd, 0x665ad99a, 0x0cde01a3, 0x914a7adc, 0x9b7e5e28,
+    0x73d9956e, 0x59d671fb, 0xa6a224b7, 0x65b4d0ac, 0xddd0258d, 0x07d7b50f, 0x09a67494, 0x440a0a5c,
+    0x78f80b54, 0x96a730ce, 0x6a1e6730, 0xbcb073ab, 0x154cbd4b, 0x6edf9a4e, 0x48ca6603, 0xd5ae1bd0,
+    0x15fe614b, 0xb3abdd70, 0x64ba32ed, 0x559b5970, 0xbdd7549e, 0x15221b68, 0xd909d867, 0x2577559e,
+    0xe60570ba, 0x5d5e7714, 0xa9d6879d, 0xca66aea8, 0xbab44827, 0xff40f006, 0xb819184c, 0x1429481a,
+    0xde0d02a2, 0xc3667199, 0xe9ff8344, 0xfa36342d, 0x1c1d9910, 0x6bfdd40a, 0x97e4b5cc, 0x46517c99,
+    0xb6926f2a, 0xef8f9833, 0x6b3160ea, 0x5b8cf29b, 0x0a53f303, 0x66436583, 0x50741dd1, 0xfa70272a,
+    0xd3eab68e, 0xbc8a4cae, 0xa46cce05, 0xcdc3fa55, 0x2e5862e0, 0xc502a817, 0x6de3c1a4, 0x9c9fc234,
+    0xc011ebf2, 0x6a32e996, 0x52a26128, 0x018df8c2, 0x1d26e69b, 0x0bee875c, 0x69282b82, 0x4943376a,
+    0xb5942213, 0xe42d5ef2, 0xafda5f71, 0xf6604910, 0xea046048, 0x8b2b1987, 0xfc604c56, 0xe5ffa0fb,
+    0xa23eda0c, 0x8519bdfc, 0x21bbd61f, 0x1e1765cc, 0x5fbec3e4, 0xc238d2d9, 0xa133ef59, 0xcb971e60,
+    0xc4babb8b, 0x5e17da2a, 0x20ace1ab, 0x8582bc17, 0x84ad6ad9, 0x598f5850, 0x9a6e4065, 0x8167072e,
+    0x07b46881, 0x1e497d05, 0x55085ab0, 0x89436de6, 0xbda308eb, 0xeefdd8cc, 0x8f243830, 0xe4e30ec3,
+    0xae15e7d8, 0xb2037609, 0xadc3445e, 0x630727ea, 0xe8412ed7, 0x05e3f8cf, 0xa0a1ba94, 0x210d11ad,
+    0x198c822a, 0x6791cb30, 0xafb21739, 0x5deb7e94, 0x37652d92, 0x30342cf6, 0xe536b734, 0xc67927a8,
+    0x9fc88072, 0x3bea5cf8, 0xcbbdc29d, 0xad71ee83, 0x5f91eb15, 0x445dbb42, 0xfedc9cfd, 0x74f3d209,
+    0xb1ed8a8f, 0x960949e6, 0x29486c05, 0x72f27694, 0x83dc943d, 0x02c7566e, 0xd6aba270, 0xeb898e6a,
+    0x18fcb138, 0x9cec7456, 0xf71c5437, 0x7a5b6c55, 0x0b328c5b, 0xc61a9323, 0x7b988504, 0xfe7c6a4a,
+    0x9832f839, 0x0f85d267, 0xeb8729a8, 0xd5e2e81b, 0x44aca4ba, 0xf823e493, 0xd5255f00, 0x5bd47024,
+    0x11f0fd9d, 0x781aff44, 0x04c72e2c, 0x0d631b2d, 0x6fedbeda, 0xd9978d0b, 0x277b4886, 0x2358b561,
+    0x105ac196, 0x0aca4464, 0xa9f04f5b, 0xe9d1a4ab, 0xd220c0e1, 0x1ff8ff43, 0x41f8aba4, 0x02b12570,
+    0x53b81bc0, 0x037b1d26, 0xe3d9a957, 0xc8371e5c, 0xd07987be, 0xbbc17969, 0xec7339f8, 0x99642c80,
+    0xe6605a30, 0x2afbfeb4, 0x6ef86a2d, 0x8675f7cc, 0x9b9bd700, 0xfa14d179, 0xb0a62af1, 0x328bf185,
+    0x9f218b53, 0x3accf397, 0xea6ac7ea, 0xfdd82d5e, 0x6bc98b45, 0x0c46a0c4, 0xcd158b36, 0x4ee248d6,
+    0x9fc6b03d, 0x1428d1d3, 0x1eeaef8b, 0x66a7b8e6, 0xb5046259, 0xa236f232, 0x8cc7fa39, 0xb613a8b7,
+    0x3268eac9, 0xa8899775, 0x992f3bf2, 0xffb1e519, 0x83474057, 0x2288ba6a, 0xeebcb4cf, 0x7461e7c0,
+    0xcbd208c4, 0x2ad8adde, 0x1d808e7d, 0xd9f2b7e6, 0x0d6099bb, 0x03074ecb, 0x0d89adf3, 0xabd7e49a,
+    0x6e8cec84, 0x5058841c, 0x4d75cf35, 0xd5d703aa, 0x902facb2, 0x7fd08de1, 0x65abdae3, 0x0ca0ca7c,
+    0x30b8ca88, 0xd86c2d6b, 0xd944e1b4, 0xfb4b1458, 0xf8eb7fe7, 0xf18811e7, 0x90752370, 0xd5f29c1a,
+    0xcc59c96f, 0xb040c8d8, 0x02b3d153, 0xc9cc7bf7, 0xf22ab3d8, 0x98631d42, 0x205b184c, 0xa65c553f,
+    0xfb7f1a68, 0xd8590ce7, 0xd13d9da8, 0x14f1a617, 0xa8a7e6b7, 0x2de60087, 0x3a83f582, 0xab799f87,
+    0xf3f9c51c, 0x260c3e9b, 0xcc573790, 0x05796192, 0xbeb8b328, 0x864bd72d, 0x878cd57c, 0xb0671a25,
+    0x856a74f4, 0x80bed2ab, 0xda0ef5b9, 0x5cde3ac1, 0x9b216dd4, 0x615d8750, 0xd0cb8866, 0x6cd44c3a,
+    0xa152b1b9, 0xab25c694, 0xb36f181a, 0x1b24a7c3, 0x0ed00f19, 0x8d402f76, 0xc93325a1, 0x104df666,
+    0x1145b7df, 0xa3452bfe, 0x8c7e9759, 0xdbd9b721, 0xddd38d23, 0x9867a14c, 0xed5296db, 0x5b336359,
+    0xed6cde06, 0x36e4327f, 0x29653dd1, 0x9b116585, 0xd0b6a5ab, 0xd851520a, 0xeb22d90b, 0x10bed7dc,
+    0x647b2eb4, 0x9f156fb0, 0xb9d09e34, 0xa207f1af, 0x7050556b, 0xbb01d725, 0x82675d74, 0x99f04ae0,
+    0xdec3c0a1, 0x9b28fe32, 0xd27e853b, 0x40e0241d, 0x25dc5200, 0xd3d9db35, 0x08c70d9a, 0x71f03053,
+    0x2f68d498, 0x2483b871, 0x8875186f, 0x95dc9c01, 0x0525e68d, 0x1e9260a0, 0x1a4f238d, 0xa88b13bb,
+    0xf3853f52, 0xcca855db, 0x9caf194f, 0xf5a76e49, 0xccffcf84, 0x3244882d, 0x4c0b5a77, 0xc00de525,
+    0x9a0a527e, 0xc8e83859, 0xfd2b10a2, 0x44756bbd, 0xee8c2b00, 0x85bdbbb6, 0x62b5f7b1, 0x62340fd0,
+    0x8000d583, 0xdc99fe28, 0x8c46eb8d, 0x3167720e, 0x30ecc12a, 0x37c18020, 0x6a509663, 0x2e514aa6,
+    0xfa55cfc3, 0x3f84b74b, 0x404155b3, 0xd37ed6c4, 0xb522cfe6, 0xcdbbd811, 0x997a36f5, 0xcff1cafd,
+    0xae88d102, 0x6322ffe0, 0xd92a14b2, 0x1bf40027, 0xe80f699c, 0x5ae95aad, 0x27234626, 0x249fd4d9,
+    0x5a7b9d78, 0x36c6a9c3, 0xe5a55494, 0x5b527e53, 0x6c3f5873, 0x1689eb69, 0xfd2523ae, 0x61e1eaad,
+    0xd581741c, 0x606de036, 0xa47a5b77, 0x02e29cdc, 0xf4746e0e, 0x9421fd0e, 0x275b1b0e, 0x2a53eeda,
+    0xcae665b1, 0x5abea56f, 0x79c7ba06, 0x1ee301d4, 0x9a994bc4, 0x55e6ab3a, 0x2daf9c20, 0xcc643e34,
+    0x885312d5, 0x1c0b6488, 0x305e7256, 0x0e013a9d, 0xcb4a24de, 0x7bf9b53a, 0xaf66ab53, 0x7f012855,
+    0x24149a90, 0x4d3176d8, 0x1fee73c7, 0xfe6bf1bf, 0xb37571cd, 0x17b64704, 0x7e43c4dd, 0xd439282b,
+    0x206e7de2, 0xe4bd4b04, 0x74eae047, 0x83db4eaa, 0x7b4487ca, 0xe4bd0856, 0xaebcf511, 0x8921ef24,
+    0x3dfcb221, 0x3405d7b2, 0x1331bcac, 0xc366f6ad, 0xa9824130, 0x75ab3e47, 0x73db0130, 0xba5b3abb,
+    0xb53e7bb1, 0x64be9cf0, 0xe5ab1b66, 0xf3727d29, 0x30a77bea, 0x5490e3e3, 0x5f90db5b, 0x8f0b859e,
+    0x8753a444, 0x5eb70ebd, 0xeb0d2006, 0x63cd571d, 0x13b26505, 0xf8fadf5c, 0x417935d2, 0xac7da0c2,
+    0x67bad723, 0xa5a157c0, 0x822bf818, 0x32521187, 0x3d0057a5, 0xb14652c2, 0x208f7690, 0x2a9a7e51,
+    0x661f2e1c, 0x66e531f0, 0x2a0eb08c, 0x5d74d35a, 0x8691e396, 0xf2b376b6, 0xe30a4104, 0x17f68920,
+    0xac9d4125, 0x5faf8136, 0x131af4f4, 0x2cd7e4ec, 0x261fc61e, 0xd9fd2f2b, 0xa583a161, 0x455a33b4,
+    0x6ec260c9, 0x5e6d636b, 0x6d9d7fd3, 0x674ad853, 0xc089c0c2, 0xc6208422, 0x57a57949, 0x3c1364ba,
+    0x3bc9d334, 0x0671ba15, 0x249d2f36, 0x510f1025, 0xe086fe0d, 0x988e4b72, 0x04ec05cc, 0x50f3471e,
+    0xffc0d34d, 0xaf275a41, 0x3d215c2c, 0xd05bdae8, 0x2cb3c30e, 0x95e20508, 0xdba03279, 0xea1e5e11,
+    0xb957466a, 0x2f68a6ab, 0x75616003, 0x74f40488, 0xb5c5159c, 0x27496eea, 0x994950c0, 0x5115e694,
+    0x065eed89, 0x3b95f609, 0x0af308fa, 0x75e65154, 0xd6f7e539, 0xa24d648c, 0xf6c9865b, 0xbbd3b4aa,
+    0x59068500, 0x3274e5a1, 0x67a9ef6e, 0x48ee5c77, 0x0d892be0, 0x61932313, 0x59e429d7, 0xac4d689a,
+    0xe23f8135, 0xd22bd22c, 0x49ae9026, 0x425a5ea3, 0xd172c2dc, 0xdfdcdb98, 0xdd00fd7f, 0x8a8e0d01,
+    0xdac8105a, 0x1f03de43, 0xc445a822, 0x4e597317, 0x72475f8e, 0x80a0032e, 0x15faa87b, 0xf0602e1d,
+    0x87eaad44, 0xca6cc63e, 0x1f1ab8ca, 0x31c877ee, 0x7e414623, 0x5ca0f9c8, 0x5037bf5a, 0x47df0e39,
+    0x20e99ad1, 0xf0cea494, 0x66138411, 0x0bc5847a, 0xbd3efc4f, 0xe6182fc0, 0xffc0f5c8, 0x7c2d0f69,
+    0x1e331c0d, 0x2a3a296b, 0x0c748700, 0x6a1ce2f1, 0x14c6df28, 0x0c2476fa, 0x5918159c, 0xc2ef5bda,
+    0x7dd398a8, 0x0b05162d, 0xb40afd64, 0x192cc827, 0xeceb143c, 0xc3b93111, 0x5232136e, 0x50567351,
+    0x4dd14678, 0xa21d4717, 0x813d0eac, 0x71bede2c, 0xe248878a, 0x5fc5bfeb, 0xa7fbdce5, 0x8c0ce90d,
+    0x8a697247, 0x149e2a24, 0xc7772c72, 0xe42abafb, 0x2defe538, 0x01f55e7d, 0x7148d886, 0x55fde067,
+    0x811d5361, 0x417d05f0, 0xabfb1628, 0x1b7c8df5, 0x18812cc5, 0xb9c3d220, 0xfd115d56, 0x25e0e536,
+    0x16359a8d, 0xc47aa672, 0x37d22185, 0x2451caa9, 0xf1f60979, 0xc8ca4e05, 0x877cd38c, 0x3d00c86e,
+    0x5825b7c1, 0xa8eb9363, 0x8f871578, 0x81bfabae, 0xda5dd607, 0xb47555ef, 0x7b6b21ad, 0xff399cbc,
+    0x28127d99, 0x1a5c361c, 0x5ec87480, 0xdc1998a7, 0x1b8a8b8e, 0x6435e958, 0x051e2e1c, 0x7ffff1ff,
+    0x6bc17996, 0xf940e5bf, 0xd7f83947, 0x044ffab6, 0x056a7bf8, 0xacbb0fe4, 0x3ca486b1, 0x0059f7d5,
+    0x98bd32be, 0x62e8156b, 0xc41388af, 0xaadcfe64, 0x454d409d, 0xa5301cf8, 0x588e8f26, 0x77188984,
+    0x3724593d, 0x1dff57a0, 0x78cb2079, 0x0333aba1, 0x23e00953, 0x18f8afcb, 0xbe9dacac, 0x4c8cac3d,
+    0xa656e765, 0xbafbb585, 0xcc6a225e, 0xcb35731e, 0x5791cbc2, 0xf109dc82, 0x3bf4b213, 0xfe050dbd,
+    0xb036be2d, 0xfac96044, 0x71885b4a, 0x18894084, 0x069c1210, 0xfa6098b7, 0x14fad504, 0x0d479163,
+    0xa34f7053, 0x1b459d45, 0x2fd3b55d, 0x0d797d0d, 0x4dfad47f, 0x952cbbc7, 0x6818cd5c, 0xe5e17451,
+    0x1a7161e4, 0x0723d2e4, 0x9ed78132, 0x803637e2, 0x77ad9108, 0x859e7dab, 0x43990b30, 0xaefac62b,
+    0x0944761a, 0x148949f4, 0x226ad082, 0x856d434a, 0x063a0969, 0x2623ecb5, 0xb14ae828, 0xc59eafb8,
+    0xeed219bd, 0xfc7de637, 0xbc7ed2b0, 0xcdae4124, 0x9a66a49f, 0x65faca9a, 0x7c058e27, 0xd8b15389,
+    0x236f894e, 0xddef0116, 0x36d69f4c, 0x134c3a7e, 0x3e68ad1e, 0x1e387d19, 0x7cbdaab7, 0x41355397,
+    0x6d9fbbe0, 0x8e2e90df, 0x555d93a2, 0x9ced0470, 0x8b820e4b, 0x3e8398a3, 0x035c69ea, 0xd1e8e96d,
+    0xec0e02a2, 0x3bdb7302, 0x58adabc8, 0xcd80cbe6, 0x06c34e7f, 0xe49c1c9e, 0xc8f06fb6, 0x79b2b515,
+    0x66230478, 0xf9c95c7c, 0x8c3127ac, 0xdf4ff4cf, 0x99813a87, 0x1b4565c2, 0x0a81e853, 0xe097d5bf,
+    0x6fb74226, 0x83d945c9, 0x570040fa, 0xd14d2e5a, 0x1ad21d44, 0x277ec1c5, 0xae06ed2e, 0x213f8347,
+    0x08ee9f07, 0xc3c0a92b, 0x288be786, 0x330ee92e, 0x85e573a6, 0x0002c60f, 0x6ff9f53a, 0x9d90cd3b,
+    0x31d32b74, 0x33bc65ec, 0x970fc461, 0x8a02fffc, 0xb5b45123, 0x8d5ff45f, 0x3b21f12a, 0xdbc6506d,
+    0xe89d996b, 0x23ad7dc9, 0xe3935c1d, 0x52d34786, 0xb0302fec, 0xca58928d, 0xd53a1c2e, 0x41aba123,
+    0xf484c35b, 0x8a1ed049, 0x06056e60, 0x2acb8d00, 0xe9fc3391, 0x7c8ce594, 0x43433d0c, 0x9fce7c24,
+    0xdf6bfc96, 0x7fe8f2f9, 0xfc8eb274, 0xb5204ab3, 0x38465836, 0xec945452, 0x8a92fd2a, 0x10cf4eb0,
+    0x5dc7a0ec, 0x65dee627, 0x9a56f67c, 0x6b2154b3, 0xed17c927, 0x27677195, 0xd04d8ed0, 0x0c352a0a,
+    0x4404f7c3, 0xc324ee1d, 0x02ff7f49, 0x210f31fd, 0x8ba9c61d, 0xaea7fcdf, 0xb31375d1, 0x7103402b,
+    0x4e0c2c47, 0xac2dffa7, 0x3cd4f15e, 0x036d9a3a, 0x52bf561f, 0x4987f740, 0x306da8d5, 0x5fd8da28,
+    0xe380e75b, 0xbc6370b3, 0x48b12132, 0x0500ecdb, 0x478f6b85, 0x3e221bb2, 0x54f81253, 0x21987943,
+    0xa092f411, 0xebf0eaec, 0x85a7c2e5, 0x7c236180, 0x95aecbfe, 0x8d2e1a48, 0x4dd28eab, 0x815e081e,
+    0x00000000,
+    0x9a9ec066, 0xa99fe2c5, 0x900acb94, 0xac286bdc, 0x56c75a17, 0x747c497d, 0xbd3baa3e, 0x3a0cca1f,
+    0x0105cf0b, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x41a934f0,
+    0x00000000 }, /* 10**00261871248631691349601055175746207932177331363683445183158663309447690703712\
+                         37396439066160738607233257207093473020480568073738052367083144426628220715008 */
+  { 0x00000000,
+    0x1f1e59be, 0xd007b0f6, 0x182a3871, 0x146133aa, 0x28a68564, 0x83c83164, 0xddf53e35, 0xbf5b52e0,
+    0x0e0f366a, 0xc1c6da40, 0x41a59f33, 0xe09db1f0, 0xc212a846, 0xeb3e7be9, 0x22b83739, 0xe9e749ee,
+    0x21cc3a78, 0x3863cd38, 0x6e848bff, 0x56d69c44, 0x7482753a, 0x15941c60, 0xdf30f9d7, 0xd2308605,
+    0x7d940ce0, 0x8cd5b998, 0x5dffa891, 0x6fd4d17e, 0xe10e3aff, 0x3b3f26da, 0xc36dc51c, 0x03ccc0b1,
+    0x6f75d1c4, 0x06791b14, 0x3c15ebde, 0x94a5c78e, 0x74f8c635, 0x9c792ca9, 0x27e96947, 0x8d1c02bb,
+    0x4812ef42, 0x7c7069cf, 0xf37d1fc0, 0xe2c8ad6c, 0x844c7568, 0xd9050dfa, 0xf0852932, 0xdd812eab,
+    0x66cef014, 0x9d3485c6, 0x172eaf78, 0x2c00128a, 0xaf3b436a, 0xdbb1f84a, 0x77f350f1, 0x890657df,
+    0x3aeb0a12, 0x15f558c7, 0x587371a7, 0xa35db7da, 0x212540b0, 0xe9cfd25f, 0x0f0c548f, 0x8816baae,
+    0xa92664a3, 0x38003f01, 0xac5c1da2, 0xd354f327, 0x15f6ccf2, 0x91ef9857, 0x0d30a4e6, 0xf10a2faa,
+    0x1bf83686, 0xfaf11d15, 0x4704fb5b, 0x3dc13c1e, 0x2ae19e2f, 0xab6ba4cb, 0x6c492c1e, 0x4a110c10,
+    0xf3e4419e, 0x06065a65, 0xfbbb380e, 0xdea4ff72, 0x10833f08, 0x27369386, 0x32881a40, 0x38300485,
+    0x68b9e498, 0x156b2280, 0x01b400ae, 0x949bf0f0, 0x54407c9c, 0x08676ccd, 0x99ddfb6e, 0x01d1aa44,
+    0x46ee6305, 0xfe88edb9, 0x0c63be1e, 0xc5db39ac, 0x97a6f2f9, 0x44b5e237, 0x143048e0, 0xd1b7728d,
+    0x7702e373, 0x90e237de, 0x063f42e1, 0xfb436370, 0x71723a67, 0xbd1ad5c4, 0x85548c65, 0xaba768cb,
+    0x5018d967, 0xe491e263, 0xe4aba6f9, 0xa3edeea5, 0x3ae04ba5, 0x5ef47e7d, 0xaaab2fdc, 0xc0667131,
+    0x5f325bd8, 0xa7dbb6be, 0xe3372d62, 0xed4e1766, 0xd5ec31a6, 0x15210e20, 0xd273f8dd, 0xc76c7507,
+    0x51778cc6, 0x7a3def4b, 0x1def887a, 0x769335d3, 0x782e7fdd, 0xa72d6001, 0x53664f03, 0x229ee172,
+    0x414a92b2, 0x9a6a11e7, 0x4613505c, 0xf39fe551, 0x6aa07c46, 0xa3f0ebee, 0x22459be9, 0x8805994f,
+    0x1cec5a25, 0xb5f966cb, 0x6a466d6b, 0x7f59d704, 0xb31f5485, 0x25bc108b, 0xd600e0ce, 0x610038b4,
+    0x290f1637, 0xfb838865, 0xa80f02c4, 0x8b221a45, 0xaea32874, 0x6feaf634, 0x8ca8197f, 0xbba87c12,
+    0x885977a2, 0x7b41865e, 0x24cdc237, 0x097e9c00, 0x5f403fc4, 0x8b8acfad, 0x4b5800dc, 0xd7319be7,
+    0x548ed5af, 0xdcb7c329, 0x2ed0aa66, 0xcecbbcf4, 0x04bc8100, 0x390b91c7, 0x66e7d69f, 0xf30e2054,
+    0xeacf0e01, 0x6fcd1f92, 0xed1a93ff, 0x87aad887, 0xca633c46, 0xd5e89cf9, 0xf8f5e56d, 0xebd0b178,
+    0x5b636ce1, 0xb1a5677f, 0x6b05d5ec, 0x3b644803, 0xfd941621, 0x8467958b, 0x9beff5a2, 0x2ef1c590,
+    0xd950aea2, 0x08b45f52, 0x92ea869b, 0xd76206d5, 0x9f4db45f, 0xcb0aea2b, 0xd9b09802, 0x939ee538,
+    0x9bb94310, 0xe79b3634, 0x825794a3, 0xe80600f4, 0x194dcde5, 0xb67eae94, 0xca6753f2, 0x49217b48,
+    0x9035f8c2, 0x70a7a065, 0x3b53fa91, 0x5b8603df, 0xddbeefb4, 0x9d404179, 0x1213047b, 0x1c4684f4,
+    0xe83bab61, 0x24dc46ff, 0xbbca62a4, 0x173f1217, 0x59fb791c, 0xf4fb26b6, 0x88de4fc0, 0x395fad7b,
+    0xb488f21d, 0x1dfe6bc0, 0xff4b8117, 0xae964b66, 0xa600b8a4, 0x53baf18f, 0xe3dff76f, 0x6ccb9f40,
+    0xdd9b3e43, 0x1fe82e44, 0xcf289c5d, 0x779fc9db, 0xb162d77b, 0xff21a98c, 0x98eb259d, 0x4b20e181,
+    0x361ae6e5, 0x09515a49, 0x3fd7ee46, 0x06c64eeb, 0xc4144f39, 0xd3be3d23, 0x4d855195, 0x6db5b176,
+    0xaac4d2f6, 0xaa448467, 0x06849815, 0xba4abcaa, 0x64ab2fe6, 0x1751523f, 0x5b026cd8, 0x3be3d0e9,
+    0x84f3e2e2, 0xf4d43ff8, 0xd22ddfc0, 0xdcafb3af, 0x98f2ac39, 0xf0537a89, 0xf00f8636, 0x249a2926,
+    0xac502758, 0xd14529c7, 0x7beef0cd, 0x70d78910, 0x8dc099dd, 0x6cdf6983, 0x34a9ca4d, 0xb6848c27,
+    0x077fd526, 0x7d7d13f4, 0xdd3906cc, 0x4e8aa734, 0x1f50fa65, 0x93d5844a, 0x2daca9bd, 0x17fd7822,
+    0xba34897d, 0x4b6658f0, 0x7bee2da6, 0x47eeacbe, 0xecb952b6, 0x1f2c9a5b, 0x9b6cbfba, 0xc05b69ab,
+    0xb575e18d, 0x1e1d049d, 0xa44124e8, 0x5c836ea1, 0xfc27a22e, 0xbc97c634, 0xeb80d968, 0xf509f52c,
+    0x55e2f49b, 0x7b663a1f, 0xdb040666, 0x3da94fe1, 0x475b4bfb, 0x2af3679a, 0x074ca2a7, 0x520d360b,
+    0x7f589589, 0x428c924c, 0x1dd477fb, 0x882143d0, 0x763f62c0, 0x826c6f4a, 0x8230676b, 0xb7771ee9,
+    0x3e7022fd, 0x46ba765e, 0x793c819b, 0x9eb17298, 0xd4068617, 0x74bc9b2f, 0x1d567bb9, 0xf997d70f,
+    0x3a385f0a, 0x6edf2473, 0xf16aa300, 0x94237d80, 0xc58c190a, 0x9693e997, 0x624859c4, 0x8d9eea11,
+    0x342f24be, 0xae616875, 0x2d27c772, 0x0ae6ca54, 0xb5e0c9da, 0x4738bc16, 0x2e23e790, 0x6d002c4d,
+    0x6e6c42ad, 0x71708a0d, 0x3fb7ba04, 0x930f1169, 0xb4684dfc, 0x050fbda4, 0x86075335, 0x259da744,
+    0x660c3579, 0x5e8a6c8b, 0x8b6c9ad4, 0xc6b2963c, 0xc46bc378, 0xf0b9b8df, 0x91ebc44a, 0x8454b6b0,
+    0x4418f4fe, 0xef6295ab, 0xd1205c7a, 0x9e31d1bf, 0x39c920fd, 0x902596e5, 0x77b6b2a0, 0x9e8aa571,
+    0x4e8e7d65, 0x7994566b, 0xa37d983d, 0x84db862c, 0x7e45c0aa, 0x6b84c11a, 0x3bf92a1f, 0xdd66b281,
+    0x8ea12e4a, 0xf6e4b972, 0xaad2799d, 0xeae7071a, 0x104df149, 0xe05b4a72, 0x8fc24023, 0xbe948bfa,
+    0x3396be4d, 0xd2235d19, 0x5241944f, 0xe26adcf5, 0x9d819e34, 0x52c5016a, 0x87b061ba, 0x257701dc,
+    0xfb3037fd, 0xf252621b, 0xdfef80da, 0x03dfc3fe, 0xe930f0f4, 0xc9ab8c2e, 0xa61c6962, 0x252e1929,
+    0xe427d945, 0x9d8aa374, 0xca6f1df7, 0xb56de94c, 0x625750fb, 0x82134aed, 0x29b5f634, 0xa81bb523,
+    0x767da374, 0x83b86ee7, 0xb0cb0a33, 0xeaf35590, 0x339a6200, 0x6550edd3, 0xc832fdb6, 0xacd325ee,
+    0xceb57b5a, 0x608a997e, 0xee515813, 0x0ee7ace4, 0xa0592c77, 0xca9d3e43, 0x0fe95216, 0xe00b2e41,
+    0x8a142dd3, 0x512f6e51, 0xd0a4e58d, 0x98babb78, 0xe6e7c963, 0x6025d200, 0xc170bc3e, 0x04b2af6d,
+    0x44bbc5de, 0x949ed788, 0xafc09d63, 0x71bd6f90, 0x399a909c, 0x32f69040, 0x8582e82f, 0x4744e608,
+    0x6664047e, 0x8269c989, 0xa46026e9, 0xaa65a505, 0xb9b4ee8d, 0xbbba0ea7, 0x8426dd4d, 0x87ad92ed,
+    0xee3ecf1d, 0xc9f513c7, 0xbfb70ea0, 0x74833072, 0x2a67b328, 0x94238706, 0xbf07a168, 0xeac8a684,
+    0x0e5d9b55, 0x855d8f30, 0x79a9519d, 0x6c7f1ce8, 0x2cd25b74, 0x81ea35ba, 0x64bf7053, 0x7f1f6660,
+    0x5f31e762, 0xcedd862c, 0x5c6cba00, 0x5e280206, 0x0acb3251, 0x44a44705, 0xea26d438, 0x243e1bb6,
+    0xcc44476e, 0x11656f01, 0x3dd11ba9, 0xbb45550a, 0x83a9b04d, 0xbb9887c5, 0x13fa7a08, 0x7cb7471b,
+    0xff7be732, 0x08c1d665, 0x37cdf0dd, 0x21af6d6d, 0x548fd3b3, 0x97df8627, 0xa72b8d53, 0x4be5a3de,
+    0x4163562b, 0xe34cbd1f, 0x581d02e4, 0xe35ac9cc, 0x96e93595, 0x6c4ce60c, 0x593685b6, 0xdd28de14,
+    0x6c15eaaa, 0x68c6492c, 0x31dec99d, 0x4dbfc05e, 0x6047b66d, 0x79e899da, 0x8b16ffb3, 0xbd987b75,
+    0xa0e6609d, 0xd1036eed, 0x789df8d2, 0x8028f154, 0x9f12e95d, 0xb603764e, 0xc699f97c, 0x5056aa14,
+    0x80fdfb52, 0x7ce7f35d, 0x5fe8a986, 0x2eae6bb5, 0xd0ae2a61, 0x0aeb4f0d, 0x815f0caf, 0x46817f6d,
+    0xa79a062d, 0x67c0c9a1, 0xdbb76bbb, 0xd4306f8c, 0xb956be27, 0xac3c542f, 0x138ef569, 0xa25846d6,
+    0x36906d9b, 0x17e305f1, 0x49600809, 0xb8e3a813, 0xc406555b, 0x93243ed0, 0xb60b1632, 0x58bd15ae,
+    0x65356148, 0x9f62b0a9, 0x525c8e1e, 0xf7fb6b23, 0xed2dffcc, 0xd7aa5ee1, 0x08c9edf3, 0x4555b99c,
+    0x2a1a10bd, 0x7a06c86c, 0xc0bac631, 0xec0dfd3b, 0xc9efdd01, 0x9b95e756, 0x20b801ff, 0xbc096295,
+    0x52f9c20a, 0xafcd347b, 0xcb289c8d, 0x0fdaa8f6, 0x977228b6, 0x127dbe4a, 0x79eec240, 0x7a0a3659,
+    0x1ac4d7f9, 0x4da1e479, 0x6b0af752, 0xb53bd30d, 0x622395c6, 0x2dc6e513, 0x00c59bc9, 0x5ac0d3cf,
+    0x5f02d0a5, 0x775530f5, 0x1a8cf4cb, 0x0dc56eeb, 0xcca8d1e6, 0xf55e0e82, 0xcd2806e4, 0x604ae211,
+    0xe10814f7, 0x110ee019, 0x2c46aa86, 0xab33042b, 0x501fc43a, 0xee5bb05b, 0x4403acdb, 0xc76dacdc,
+    0x8ededf27, 0x185240a6, 0x3291c7b5, 0x3f50108e, 0xe916a357, 0x6bb8c266, 0x50f0c4b5, 0x256fa7ce,
+    0xb30d5f61, 0xbeb37666, 0xd99d256f, 0x64f291ae, 0x1eaeaba0, 0x90c4ea79, 0x90d6a3e6, 0x8fac8306,
+    0x306748ff, 0x835ac582, 0xf3110324, 0x3c92dff8, 0xdc796f14, 0x7997c3f1, 0xfe59150b, 0x917dc22c,
+    0xa87a782a, 0x59ab2a5b, 0x57630a8e, 0xe32f2030, 0x3d54c817, 0xe2269c0f, 0xfd2608e4, 0x8bc82eb3,
+    0x6080fc48, 0xb48cba18, 0xe393b6fb, 0x170095bb, 0x7c434d30, 0x9038e6ae, 0xfb12b58a, 0x6c4b82fc,
+    0xe9b9aea4, 0x9fc4e50b, 0xbe8dcf40, 0x8608ee5a, 0x66721243, 0xa70da5b0, 0x064dd8fe, 0x49b3e377,
+    0xeff0cc5a, 0xaf47b7c1, 0xc9817881, 0x051e687d, 0xd066474e, 0xa0cc19b5, 0xaf6febbc, 0x1a7df5e6,
+    0xfd9bb557, 0xa34839ec, 0x5f9b7a66, 0xa81b16b5, 0xb0d72b9f, 0xe46e8bdb, 0x6c0939ee, 0xf8618155,
+    0x59fdcf43, 0x43ba712e, 0xf7acd365, 0xc1cab26f, 0x9628057d, 0x52b14564, 0x521fffa1, 0x93b29a84,
+    0x6665ef3d, 0xaaaaba5c, 0xfd26eb00, 0xad522f09, 0x46c58457, 0x39f0b9eb, 0xa36de8ac, 0xe823a974,
+    0x72a5516b, 0xf633b662, 0xfa5c997a, 0xacc34814, 0xed063387, 0xa1200e0c, 0x077a3583, 0x5d8cb1be,
+    0x8662807b, 0xfed67853, 0x17a1837a, 0x95a0dc58, 0x57724efd, 0x312b6722, 0x29a29de8, 0xc6ab61fc,
+    0xe51812ab, 0x19d89e42, 0xe9f6448d, 0x20677051, 0x67e0cccf, 0x4674176a, 0x4ca37837, 0xb944ca3e,
+    0xb5092cff, 0xa130d76b, 0xdca7aa0c, 0xee0e7348, 0x639a9a5e, 0xe4b37927, 0x8e2ab65a, 0xd8fbc7df,
+    0x501653af, 0xac3e3f6f, 0x2808d908, 0x4a94b45d, 0x25cf67a9, 0x63d673bc, 0x35add4e4, 0x2ac2faaf,
+    0xdf30b51b, 0x6f74fe61, 0xb690d45e, 0x8f136eef, 0x6cb52b58, 0xa699402c, 0xab32b15f, 0x7791b377,
+    0xa9b6c72a, 0x0c3501c1, 0x3a8a2c3f, 0x1ea37197, 0x73917a88, 0x4151bf04, 0xdf9dda15, 0x0ce1cc6b,
+    0x80bb18be, 0xcadf84f2, 0x13147c7f, 0xa8d137ed, 0x1887248e, 0x566ec5b4, 0x0bed3e8e, 0x7e6bc55b,
+    0xc4c87adc, 0xec71658b, 0x985ca845, 0x7c5ebe27, 0x1c58c6db, 0x4a901d82, 0x33e47224, 0x3c0e1ef0,
+    0x5bdc5c28, 0xa4e4fa26, 0x5b5d7fc6, 0x88fb8c2b, 0x77853bdc, 0xdb9337e5, 0x37bb4789, 0x50fc671a,
+    0xc15e82e7, 0xaa6bbdad, 0xab1f29d0, 0x42dc1a16, 0x7b8093c1, 0x4864eff1, 0x68fc25b4, 0xe84ce29f,
+    0xb6770dfb, 0x01d3e123, 0xca070c28, 0xdb46ca87, 0x3f2b5d73, 0xef3a4ebf, 0x1812c951, 0x8bf78580,
+    0x867b0444, 0xaa088f4a, 0x1f612848, 0xc053d43a, 0xc879eaf8, 0x89cce4f8, 0x57f4e27e, 0xce203711,
+    0x8d034e13, 0x3e7979b6, 0xa49976c5, 0x88a8a452, 0x2a696b4b, 0x18fb4580, 0x2783a8bc, 0x003d18f4,
+    0x93dedf08, 0x3adc712d, 0x85bfd57a, 0x32f6477f, 0x1b0429fe, 0x8f072e3c, 0x62d2faa2, 0xcc76716e,
+    0x00870ffb, 0xa543c7d9, 0x5a186db7, 0x9e89af00, 0x0f8877e3, 0xf5a504c8, 0x6e5b9d57, 0xcd0c1169,
+    0x0be1431b, 0xe59228e5, 0x7df8ca13, 0x4aec96ff, 0x40444adf, 0x5e50cb10, 0x1804720a, 0xe3315272,
+    0x284a6665, 0xe96c6dc6, 0x8766914e, 0x59c5e49d, 0xb88ca864, 0x4e5829b4, 0x5bc4e94f, 0x97b889e4,
+    0x1d1486a8, 0xee55d723, 0x19bd8964, 0xf41ce8bd, 0x52212289, 0x4dd12367, 0x6b6fea10, 0x6b316b83,
+    0x09272ae4, 0x5f772b79, 0xaefdee2c, 0x81e28971, 0x0a968160, 0x49b4b593, 0xaff78076, 0x9e14683e,
+    0xc5de53aa, 0x5463ebea, 0x63f7928a, 0xd5ac3e4f, 0x864033a0, 0xdb1a8ba7, 0xab786238, 0xaa92d3d6,
+    0xdcade5ca, 0xe8ed43b0, 0x15e3dc10, 0x8ecc99bc, 0xace45c5a, 0xff329c3a, 0x139fc456, 0x6b2dc295,
+    0x2a48eee4, 0x3d5d1048, 0x3ecb6723, 0x56796003, 0xa6343d22, 0xd11ca4e8, 0x5b70c81d, 0x2a409d5a,
+    0x2b60b428, 0x0eadc073, 0xf911f9df, 0xcb9aa9c1, 0x4053b9a0, 0x2884dde1, 0xbd36eeab, 0xdcd888be,
+    0x9c413955, 0x842b59ee, 0x4fda0c13, 0x88e19d89, 0x37d47eae, 0x7ec4c64b, 0x6a261ee0, 0xcd73f497,
+    0x39ef592f, 0x50699722, 0x07f104ad, 0x15726314, 0x19761085, 0x95775f91, 0x3f538b51, 0x22267d69,
+    0x6db64cc1, 0x16fb38ec, 0x7fb741f7, 0x2b3aa0c0, 0x33ec1701, 0xbb63206c, 0x3321dd3e, 0xdbc3ce83,
+    0xd8fc2c77, 0x8f63a313, 0x1a95c709, 0xdc4b1f29, 0x737dd494, 0xf175fe0f, 0x4f389d16, 0xf02898d1,
+    0x81c365df, 0x2631c7af, 0x02bfd7fe, 0x195cc5d0, 0xaa5c14f7, 0xf43c3148, 0x2cf962af, 0x7f8cf944,
+    0xfcd50825, 0x0bc90d5e, 0x00439943, 0x6aa0488e, 0xd585d58a, 0x2d468976, 0xb1c54adf, 0x1a7b3236,
+    0x4e74d95f, 0xe84630d1, 0xbf963654, 0x35cd82d9, 0xc42b5061, 0xff4bd4ce, 0x65cf4464, 0xca65e4a6,
+    0x04799044, 0x6ce6e532, 0x508ef8d3, 0xb4ec6387, 0xd3cb4417, 0x81f226ba, 0x908918c8, 0x8cd77e17,
+    0x2dc76a75, 0x6d21ad50, 0x27cfd13c, 0xc3917ebd, 0x454fff52, 0x40dd48eb, 0xa3a75870, 0x401379bb,
+    0x9d716fc1, 0x363186cb, 0xc1a56c1a, 0x9e516df7, 0x055bea6b, 0xdc0d265d, 0x2c082552, 0x42e0c901,
+    0x534ebe73, 0x40f620cd, 0x49af35bc, 0xebbc4922, 0xd217c508, 0xe3e20b16, 0x1b2b4980, 0x2fc65bc8,
+    0x990b3b67, 0x6dc73f09, 0x0339862e, 0x2c1ece08, 0x93270139, 0xf4c132f4, 0x5d6e5127, 0xe28a865f,
+    0x4c73e692, 0x22d4df5a, 0xca02572b, 0x2daa1e28, 0x79f23c0c, 0xda820ecf, 0x54b9c485, 0xbb7ce38c,
+    0x2e9772c2, 0x2a217141, 0xfafd7491, 0xc7988a80, 0x1a0609bb, 0xc3b9bb30, 0x0fbc717f, 0x253c1cbb,
+    0x0aa90789, 0xb6837e06, 0x89b7d95d, 0x67386198, 0x778233d9, 0xb568397e, 0xbf2ef5c1, 0x4f68317b,
+    0xe74d9b70, 0x7a6ba577, 0xe2b3c86c, 0xbc004518, 0xd8468a11, 0x593fb770, 0xc1a59a9d, 0xa8b28f21,
+    0x1d6d8d91, 0x41674773, 0x20e791e2, 0x64f25810, 0x12e6f916, 0x20faa2a6, 0xbecd2805, 0x538a4faf,
+    0x9732b79c, 0xa3868781, 0x087ef8ca, 0xd3df42b9, 0xa06e9d7e, 0x81c39283, 0xceaa09b2, 0xf7133ae8,
+    0xdb91fe0f, 0x0a494a5d, 0x5a170319, 0x7501ae71, 0xa76e4c2f, 0x99aae044, 0xf5278afb, 0xda614a92,
+    0xd44a5241, 0x7087bd6d, 0x6abd541f, 0x21285353, 0x74821d1f, 0xe92394cd, 0xc1681411, 0xb5fbcd65,
+    0x00000000,
+    0xcd4f6032, 0x54cff162, 0x480565ca, 0xd61435ee, 0xab63ad0b, 0x3a3e24be, 0xde9dd51f, 0x9d06650f,
+    0x8082e785, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x40d49a78,
+    0x00000000 }, /* 10**00130935624315845674800527587873103966088665681841722591579331654723845351856\
+                         18698219533080369303616628603546736510240284036869026183541572213314110357504 */
+  { 0x00000000,
+    0xb06ca0e5, 0x6d1c2cc5, 0x4bce865b, 0xe47cecb0, 0x8966d9ce, 0x4c9dc0b0, 0x8112207c, 0xe435ef72,
+    0x21e47e9c, 0x414d815f, 0x9578feb3, 0x764529a4, 0x88d052a6, 0x547980f0, 0x1c689f75, 0x9e2ada46,
+    0xacb1629b, 0x62f6f715, 0xdbd51b3b, 0x3c36dfc8, 0x8af34dc4, 0x951f99c4, 0x00996ec7, 0x45987fa4,
+    0x1b35e474, 0x2d571bda, 0x4e53a236, 0x6b523ae0, 0xbb6b29f2, 0x63a15b0b, 0xbcb3a7a4, 0x9fc0eba3,
+    0xef5a9717, 0x0c24cc81, 0xa619d64c, 0x362dd9e5, 0x1ce06e4e, 0xfdc2cf45, 0xa822b93a, 0xfb509719,
+    0x2bc4ab71, 0xa9cf6b0c, 0x989d7ac7, 0xf8679616, 0xa218234b, 0x99f0ce00, 0x061e29e8, 0x6af89908,
+    0x7d1709ad, 0xf2166ced, 0xd8df0471, 0x70941d34, 0xe013967e, 0x3ce974f3, 0x1f23f740, 0xd87009b1,
+    0x573b41e3, 0x17cfd41e, 0x0dcb1144, 0x13c5af82, 0xda4244b8, 0x338fe275, 0x979e21d9, 0x16049269,
+    0x17ac6e39, 0xd821f6de, 0x033ba335, 0x72478813, 0xf7405dec, 0xe29f4579, 0xee60bf92, 0x87315284,
+    0x2a19f22e, 0x932ba779, 0xf174a66a, 0xfba3d37c, 0xec88f2d2, 0xd80a9fe1, 0x445d1fcd, 0x509fa80e,
+    0x571a9856, 0xf2165268, 0x231c3007, 0x33cf0a17, 0x0c7f47f2, 0x1ae75090, 0xa57d3f8b, 0x061d1b55,
+    0x1d8fcc78, 0x8a125c4d, 0x4892da71, 0xb25c9652, 0xc8ef42c5, 0xef0ad24d, 0xbc96fb08, 0xd67bf220,
+    0x533e0471, 0xe1c9fb19, 0xeb43aaaf, 0xd74ae54a, 0xa4e824b1, 0x48211b81, 0x99b9cf32, 0x781f567a,
+    0x9e7fe5d5, 0x8c1087e2, 0x6d2ba515, 0x2c971f8f, 0x0fe07b7d, 0x0e0fb896, 0x98e45cf5, 0x8212faa9,
+    0xb4726992, 0xae8fa7ba, 0x7987c5c6, 0x588a99b3, 0xb405f55b, 0xba12cf31, 0x901c204e, 0x642d6b2f,
+    0xe7858d11, 0xf54c1552, 0xc925d603, 0x397a7bce, 0xd24c7f91, 0x812fa471, 0xb3ae9562, 0x057fb618,
+    0x7929d9e0, 0x0e91a807, 0xd13ad47e, 0x686cdd06, 0xf1ca0e9a, 0x66bd64d7, 0xefd5eeca, 0x0d31102e,
+    0x954bb33e, 0x0954d402, 0x4a5689ca, 0x2909cf8b, 0x86530215, 0x75db5fd8, 0xb9c7354b, 0x413c88e4,
+    0x9ed4aa9b, 0x356264e0, 0x44a72303, 0xd6f205ea, 0xe64e662a, 0xa1887000, 0x4eb8945a, 0xa1f1a95a,
+    0x792a3dc3, 0x4d77ebf4, 0xaea90a56, 0x82d5c9c8, 0x51762228, 0x4eef3db5, 0x820652cd, 0xb0a61ddb,
+    0xbb95e8ca, 0xcd662568, 0x37eb5b8c, 0x5669a484, 0xb0073728, 0x60a12710, 0x9bf4d6a5, 0x9520ad38,
+    0x38ddde9f, 0x3cfd55f2, 0x49410c9d, 0x509a693c, 0x3401abec, 0xe7ea02a7, 0xcec7c2e5, 0xf456c795,
+    0xdfda87d1, 0x62f9b6de, 0xfd07dacc, 0x2c5f446f, 0xcadbb260, 0x3c8a59da, 0x41442307, 0x814aa8d4,
+    0x3b62b5c7, 0xea09e839, 0x1185f0bf, 0xdd4f0936, 0xdd76e54c, 0x86f6031e, 0xbcc1ce1b, 0x2fc972fa,
+    0xb8436a6f, 0x58f0a47a, 0x2ed638d2, 0x3a67a33f, 0x1f7cf56d, 0x718411fb, 0xa67af3e5, 0x2a1578fc,
+    0x8bd06dc8, 0x55b9fee6, 0xf056c6b3, 0x80b2c7ae, 0x71fd946f, 0x0f7f6735, 0x71807518, 0x362da4cf,
+    0x16b50d32, 0xf8412ae1, 0x3455b585, 0x5d513932, 0x17a43aa2, 0x3d693e00, 0x44b79db3, 0x8bcf577c,
+    0xc6a9a2d9, 0xa583be29, 0xfcdaff04, 0xda7246e2, 0x5dc23021, 0x34e8ce25, 0xbd62d08f, 0xfb957166,
+    0xb4453882, 0xbb9a8646, 0xb3edd302, 0x85bfee1c, 0x610344c6, 0xf5fd061b, 0x839e60bb, 0x1b41d9ba,
+    0x7e52e743, 0x741b24ca, 0x929252ce, 0xba54caa7, 0xc59039d9, 0x43c7fa6e, 0xc7af20c6, 0x5ed9cab7,
+    0x00eee005, 0x83767e85, 0x6337899c, 0x3c9944e2, 0x3b72e609, 0xdee7e657, 0xa448ef87, 0x1f1a8e89,
+    0xeeaf68c9, 0xa4f17d88, 0x7f9dbe8b, 0x19be46b2, 0x5e16b548, 0xf2390943, 0xea69e494, 0x24affc39,
+    0x23c3e919, 0x92d20135, 0xa5e8395b, 0x66c9c156, 0x2eebe60e, 0x34f9b3f1, 0xed927ca0, 0xead8d854,
+    0x53e543f5, 0x3b904884, 0x617b43ec, 0x450a96e1, 0x4ce438a2, 0xec1bd22b, 0xe9023971, 0x0e94b395,
+    0x627365fb, 0x322269d6, 0x45254273, 0x99776f8e, 0x4fabc433, 0x127c2a23, 0x2f496c35, 0x7362eaaa,
+    0x3c6f366a, 0xe8d763b2, 0x8cd9954b, 0x3b0b0e0d, 0xe74f325a, 0xf3708e58, 0x48bdd18a, 0x9745eeca,
+    0x463277cf, 0xbebeeff1, 0xd50b593e, 0x15513e76, 0x57a216a9, 0x258812ff, 0xb64d6f5a, 0x7dfe0d34,
+    0xde79dae6, 0xd50e320f, 0xab5e483c, 0x85364fd6, 0x53ed4a97, 0x67dacc5f, 0xe0bc78e4, 0x1b01cf09,
+    0x45d4dcbb, 0xf0ad5116, 0x1df14201, 0xd8aca974, 0x027885d5, 0x554e6bc3, 0xbfdd782f, 0x7eee1165,
+    0xce9a1669, 0xde9775c5, 0x7fa4d1fc, 0x6242c67a, 0x3c84336a, 0x71a404ea, 0x387e6d6b, 0x1f24bfe9,
+    0x5ac0fc73, 0x40e2d4e6, 0x9ebe11cb, 0x0d6f6424, 0x8a3dac9f, 0xd8cabdc3, 0xf3155e5d, 0x16ece97d,
+    0xea62adf9, 0xacc31285, 0x27643e4b, 0x9160b6e6, 0x0fa3f55c, 0x51442614, 0xd0ad2f04, 0x5b2c49d9,
+    0x099544f2, 0x93d20988, 0xc1566019, 0xe710673a, 0x92c2847b, 0x2bc601c7, 0xa63290a2, 0x6be2fb9f,
+    0x784a27b8, 0x224ecc3e, 0x7bb531c4, 0xed596150, 0x9df4eed6, 0xbfc20579, 0x80f3bc95, 0xa5088416,
+    0x2cc5b11d, 0x38a2221d, 0x81e9af9e, 0x3971939d, 0x7674779c, 0x5b57300f, 0x50753a37, 0x21b2f13f,
+    0x16f06bdb, 0x49c96e84, 0x3c85e8a9, 0x7a94910a, 0x43d3c356, 0xce172b48, 0x19da1cfd, 0xb7bb15aa,
+    0x231651c3, 0xd9cd3648, 0x51791077, 0x20d0236c, 0xb41dbffc, 0x4ac3a539, 0xf2b16b8f, 0xff5fd8b1,
+    0x05b756b9, 0xa7698b2e, 0xe99b82ab, 0x87e70c95, 0x16750034, 0x8e01ed08, 0x7c34d15a, 0x990ae2de,
+    0xcb3b69cd, 0x07a3078e, 0x1ae68656, 0x76a4e221, 0xe28022e8, 0x8b2399b7, 0x4d458267, 0xa0e05cb8,
+    0xf1ec1845, 0xa3b4bbfb, 0x5a0094ad, 0xf13bda69, 0x1da910ba, 0x74ab8164, 0x75671ebf, 0x5e176e80,
+    0x1eb5fb62, 0xbda902c1, 0x8badced6, 0xa9f99222, 0x26a96a54, 0x7018374b, 0x02b2e185, 0x65359f86,
+    0x9b7e25c8, 0x9281d7d2, 0x8faeed45, 0xd54fb7f9, 0xea3a641e, 0x63fc9ab9, 0xdefc9d65, 0x93b7ba8e,
+    0xebbc5f3f, 0x48ef364d, 0x32180145, 0x59066217, 0x2d48ca84, 0x9ce09451, 0xf0537e36, 0x4e0d6c8d,
+    0x74c59e70, 0x5f1feb29, 0xf2a82cff, 0x51cfcd3c, 0x6aa62a14, 0xb62c411b, 0xc5fb8250, 0xef83ecb4,
+    0x6e54d9dc, 0xda2df4a9, 0x4c51eb66, 0x6be69334, 0x7db0d05a, 0xf6a7a5b5, 0xd879e6ba, 0x322f9764,
+    0x24843e49, 0x67cf7509, 0x7e3aa5f0, 0x6c7f6d51, 0x9c8d9748, 0x67e344d1, 0x6784a581, 0x1b2fa294,
+    0x8cc1479d, 0xbdabd436, 0xe0b0cfcf, 0x61d9f80a, 0x8b5765d2, 0xe579cf94, 0x6ec5fd1f, 0x4e629ffe,
+    0xc3ade0d5, 0x3c756314, 0x227bb680, 0x4eb57134, 0xff896083, 0x1f6effdc, 0x7e41a378, 0x73f9c944,
+    0x48b2b92d, 0x32955e33, 0x3c967c83, 0xf0228897, 0x8fb04eea, 0x5f8587bc, 0xbdeadabc, 0xa7847ffa,
+    0x9a021e57, 0x288743dd, 0x449dab04, 0x917d05de, 0x603ca8df, 0x2c8632ae, 0x9b633bd2, 0x3f4cf36c,
+    0x44f1917c, 0xd834b04d, 0xc37e2b28, 0x94455058, 0x81f80364, 0x6f6b80dd, 0x3d15c9a4, 0x39363242,
+    0x1cbe21da, 0x21a33325, 0xd35e43b2, 0x3299a34b, 0x4f3035b7, 0xb23d79f5, 0x5833cfc5, 0x5aaccd87,
+    0xab4f49a0, 0x003f44c2, 0xfe7b5b81, 0x4fadeac6, 0x3fb5d5a1, 0x4c9de575, 0xf084c913, 0xd7ae4729,
+    0x175f589d, 0xe882d3fc, 0x877753cf, 0xba06cad4, 0xd97b6a74, 0x89ec6657, 0x2b914336, 0x9aef2951,
+    0xa4f1b6b1, 0xa73c8542, 0x510da52a, 0x6348e93a, 0x2e1e56df, 0xa4acbee0, 0xc21c4205, 0x53df6101,
+    0x27ce45f3, 0x52af228e, 0x95090966, 0xf3679fbd, 0xda7fac36, 0x7786b932, 0x8cc30621, 0x7e9c8d34,
+    0x9ac31474, 0xbb97667c, 0x7cc56e5c, 0x0b1126bb, 0x58055bbf, 0xb5f43a9d, 0xd7bea92b, 0x5d7358f1,
+    0x74e36553, 0x14f7fa8b, 0x7c57af2b, 0x995798f3, 0xb35fa9ad, 0xe6489f65, 0x97b9f19a, 0x3947ce3e,
+    0x83dad29e, 0xb68f6097, 0xbb601be7, 0x95a8cbad, 0xf1e1ff2d, 0x40e3e82b, 0xc8c63955, 0x40dec84d,
+    0xc060a673, 0x5da80c4e, 0x1acc1eb4, 0x96a4cd8b, 0x28979661, 0xb2131e78, 0xb00c059a, 0x10890ef2,
+    0xc3796a91, 0x9d03ad3d, 0x9601f39f, 0x66afccea, 0x742502b1, 0xf00829b6, 0x3ad02784, 0xb13a12e3,
+    0xc9781b5b, 0x1cf30548, 0x905b7c78, 0xc4f69d0c, 0x320f238d, 0x1f91c7d1, 0xdb657831, 0x6cc3e784,
+    0x7bea9b3f, 0x0669ea7a, 0xffea0e0e, 0xabb2f8f3, 0xc81dc21d, 0x066c18f7, 0x990505d2, 0x90156c3e,
+    0xca3bada6, 0x31ff8013, 0xd19b5eaf, 0xa5d9bf2c, 0xa1f566c0, 0xb9c214a9, 0xa7b5676e, 0xf9e82809,
+    0xa3d61a55, 0x106636ef, 0x61be3403, 0x62d5ce72, 0x885ea67b, 0x8e9d9945, 0x1fbd61dd, 0x79d9b6ed,
+    0x7eef92f0, 0xf8e976bf, 0x004d5fdd, 0xd1e1dc9d, 0x62e2cd06, 0x09df9359, 0xd5940993, 0x2160eb49,
+    0x2bea350c, 0x2ed90c6e, 0xcf354c8f, 0xa640a9bb, 0xd73e7585, 0x00b04ac8, 0x25db7dbb, 0x207838a7,
+    0x6aca37c4, 0x1e7ac35d, 0x84f3a9ba, 0xa6afc7c0, 0x972b51d1, 0x1f1ae520, 0x76e8e184, 0x15dd6ccc,
+    0x5774fc68, 0x82cb2bfa, 0xa3cc1ad8, 0x98a39a81, 0x79086c40, 0x83ed5124, 0x62074bc6, 0x9c7875d9,
+    0x47d47976, 0x42cebcbe, 0x4018c854, 0x9aae97b4, 0x78f589c8, 0x58cbbd3c, 0x97246c4a, 0x9d96daca,
+    0x493c1cd4, 0xe90c8f87, 0x29fdccb6, 0x0344a869, 0xcfde4120, 0xe4950995, 0x183b3d10, 0xf5f89e2b,
+    0x7957fa04, 0x442c41d7, 0x10e0f577, 0xf791ceec, 0xc468bd35, 0x3fbf0d25, 0x6794c0e7, 0x0b6081e6,
+    0x2995fc9d, 0x8c992611, 0xb75de6c1, 0xda7ff9d1, 0xc4b4e903, 0x5d9fd638, 0x85fec2f2, 0x3a592f2f,
+    0x40c12a91, 0x8f746e8e, 0x6118f31c, 0x53c863ab, 0x67917c87, 0xf472d9d9, 0x4ef2a44a, 0xda5e8c78,
+    0xe5263f24, 0xb4bde77c, 0x5343f0ed, 0xa8ff81cd, 0xd0791c2c, 0x63955d91, 0xddbc69ef, 0x51b8c08d,
+    0xc065645b, 0x286414bb, 0x79876330, 0x63e40c11, 0x4147cfb4, 0x1848865d, 0x85e95a15, 0x50d880cd,
+    0xe03698de, 0x8be5c37a, 0xe1dee379, 0xce786f6c, 0x9290eab9, 0xd6f18904, 0xf6750775, 0x37519562,
+    0x174168f5, 0xf1190a35, 0xd1f653b5, 0x670a8d2a, 0x4bc28c34, 0x32aa1ea8, 0x0f2ae2ca, 0xf4de9da7,
+    0xad497960, 0x5358f789, 0x7649b9c1, 0x0b089448, 0x70c99108, 0x80317b38, 0x89a0458c, 0xc09e0f6c,
+    0xddf0c7ec, 0x5bfcfd4e, 0xe3b93846, 0xe0507eaa, 0x7df553e8, 0x6beaaf3d, 0xd6797613, 0x57a9ff17,
+    0x33d12b9c, 0x9e188223, 0x3ae81b76, 0xc4be67e7, 0x0f8e419a, 0xe5379f1e, 0x818e0ced, 0x300bde63,
+    0x7b1e36e6, 0x47cf554d, 0xf8c1a88f, 0x9bd5753b, 0x2f10e9a3, 0x47756f9e, 0x69f51585, 0x14409c69,
+    0xd385fbc6, 0x5d632831, 0xa00ec203, 0x432875f8, 0xd2b68155, 0x44d73899, 0x98db3df1, 0x193ac33d,
+    0x6f6f4dc1, 0xa0f8560b, 0xa795ed48, 0x761d8896, 0xefe7e16f, 0x56d6b96b, 0x46b4d28c, 0xf41e454c,
+    0xf91648c4, 0x277fe1b3, 0xcc02d1a1, 0x4b22228f, 0x7372587d, 0x4d07b64b, 0x307678e9, 0xa5498c51,
+    0x79ea7f79, 0x0e0ee346, 0xc52fa011, 0x871fd11c, 0x4adb8829, 0xc250dc05, 0x8b637b45, 0x0442ecef,
+    0x848df507, 0x3011bd01, 0xaf88d22c, 0x6db33230, 0xfdfad28d, 0xc971ddc1, 0x6a90ca77, 0xa36aa877,
+    0x7f614993, 0xb874fc21, 0xd31dad55, 0xe7bf87b5, 0x916a3d41, 0x6ab27e2b, 0x4ec5724a, 0x150cc34b,
+    0x15ce98df, 0x56c16cd4, 0x37a6245d, 0x9c7f3fbe, 0xa1c25d30, 0xc27a03e6, 0x07208b8d, 0x948d9afa,
+    0xd60cf64c, 0x0c4e5083, 0xf899a014, 0xd77d1b53, 0x64a81944, 0x4a240cad, 0x9261183e, 0x3a4e8c0b,
+    0xd428d1be, 0xd9d50373, 0x7f738406, 0x9157ac6c, 0x6bfb346c, 0x944588e2, 0x18851402, 0x0d094dbe,
+    0x401fc6f2, 0x83abaacd, 0x70c7816e, 0x91db9ab1, 0x4890bd95, 0x9c9d2a03, 0xc2700002, 0xf3e46a6f,
+    0x49be1f59, 0x0ce207a8, 0xd77d3a23, 0x26722081, 0x25e8795b, 0x617f7ee3, 0x8e248fb6, 0xeb76e22e,
+    0xc9b25623, 0x0c961e06, 0x0405f502, 0x2db3844f, 0x0328bb5e, 0x0721a7be, 0x81c6f02e, 0x563b2253,
+    0xec8f5c74, 0x8e1d22e9, 0x3f04ca57, 0x433d8c30, 0x0fbd474a, 0x9b4ae170, 0x2512be58, 0x676828ca,
+    0xdca70682, 0xe4337a67, 0x2fbc5809, 0x16d0de34, 0x2703fd77, 0x4edf0d4f, 0xe0f17e71, 0xecdc057c,
+    0xf39dd66d, 0xd3209316, 0xff62d490, 0x19d7604e, 0xd09d43c1, 0xda51ec55, 0xb25678e4, 0xf64595be,
+    0xd2f5695b, 0xb3b268b7, 0xfb4d4b27, 0xa3ebc6ac, 0x8fc26a92, 0xba5a892d, 0x6d1e5d16, 0xdbf604e1,
+    0xbcf6171f, 0x856292db, 0x02022c06, 0x65522ffd, 0x5fc445ae, 0x7f48dffc, 0x262e90ac, 0xe585f6f8,
+    0xece8fbdf, 0x6cf8d7af, 0x5632bd47, 0x54f502a8, 0xdbe9c3ba, 0xc09eff9b, 0xa3e889f0, 0x5b95a785,
+    0x7a6c95cd, 0x341b3218, 0x1a8f6cf5, 0x807be7c1, 0x3131c0bc, 0xcc09200d, 0x10a825c7, 0x0de9780b,
+    0x2ab79864, 0x4bc0bb13, 0xb9f6612a, 0x22b93682, 0x68e33052, 0x17bcd654, 0x3a865c9b, 0x426228e8,
+    0xa857c7ce, 0x882e2658, 0x5b4c819c, 0x6ab6aa10, 0x92c7e473, 0x42c1baa4, 0x18653eda, 0xf9766e02,
+    0x81fe0d4c, 0x0f9b43c9, 0x54f78bb7, 0xdaa41ff1, 0x073e0cfb, 0x0ece7fdb, 0x24bb8676, 0x9d88f7e7,
+    0x11c370d0, 0x2d6ea5e7, 0x166f6499, 0x918f1f5f, 0x62304e81, 0xb72df727, 0xd1181b6c, 0x8db05404,
+    0x36467d34, 0x92d58d57, 0x38d1be91, 0xc20d721b, 0x914059a1, 0xad25bf16, 0x00497186, 0xd2c48588,
+    0x8c8117bd, 0xf6252961, 0xc6f268f1, 0xf12313a4, 0x81cbce59, 0x52dd010d, 0x162bcdcb, 0xd1301859,
+    0x14884ad1, 0xbc6de954, 0xa0ccb5fb, 0x92616ab9, 0xfc87e084, 0xd52811ed, 0xe1dd4849, 0xe8d1da76,
+    0xa9b3bfb1, 0x9813d4a6, 0x8217e65a, 0xb4f0e46c, 0xa55db427, 0x6d7c1951, 0x78e310ee, 0xa49d7e99,
+    0x17992eb7, 0xb67a103c, 0x516f201a, 0x7c425e9f, 0xc2bf9a78, 0xcfccdbf5, 0x5c337177, 0x80f88e8b,
+    0x60d89e14, 0x9d8ef3a2, 0xd8fa3cc0, 0xf12f37b4, 0x74afd424, 0x21d1ce84, 0x582b68d0, 0x011c426d,
+    0x9cc1d053, 0x0eec9c06, 0xa5d669c7, 0x3bf88295, 0xb5d17e7c, 0xfd9709df, 0x2623e1de, 0xd7853fbd,
+    0x20886ab0, 0xa0e1e8d4, 0x57b6f265, 0x99f06f9e, 0x2f0a37c1, 0x1fb98e13, 0xf5f33db6, 0x48ea8269,
+    0x68a55a4f, 0xcdfba969, 0x74e91280, 0x9abd9cfe, 0x76bc2077, 0xef040bb3, 0x3c5026a3, 0x11f9e52a,
+    0xe09c650f, 0x2d873281, 0xa4983163, 0x9a0883c9, 0xaec2a2e1, 0x784c2d63, 0x2204eafd, 0xf9b22e7a,
+    0xd39e57ab, 0x050b0738, 0x9fdb61d6, 0x6ce9fc40, 0xeed5179b, 0x24bd3c3c, 0xc787f9bf, 0xd7d79260,
+    0x00000000,
+    0x66a7b018, 0x2a67f8b1, 0x2402b2e5, 0xeb0a1af7, 0x55b1d685, 0x9d1f125f, 0xef4eea8f, 0xce833287,
+    0x404173c2, 0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x406a4d3c,
+    0x00000000 }, /* 10**00065467812157922837400263793936551983044332840920861295789665827361922675928\
+                         09349109766540184651808314301773368255120142018434513091770786106657055178752 */
+  { 0x00000000,
+    0xf216aef7, 0x17d61563, 0x3e550463, 0x8f5babd9, 0x7887f032, 0xa23f68bb, 0xd73d1905, 0x8130f0ca,
+    0x97de2b5e, 0x228bd63f, 0x29db0334, 0x9384802b, 0xa008e5b0, 0x0fed3494, 0xe6ac4699, 0x56c06455,
+    0xdf1c189a, 0xfdeb70da, 0xaeadba4d, 0x1a4f16b3, 0xb0ba1a36, 0xfb67eac1, 0x083bb100, 0xe4ddba39,
+    0xe7d7a21d, 0x5c2c5acc, 0xf78efca8, 0xdc9d82be, 0xd86f9f7b, 0xb4eb0f82, 0xc609a84a, 0xf88b9c85,
+    0x632ef029, 0x0e647f4c, 0xa4a71cc5, 0x2dafd482, 0x79ffcb00, 0x470bcee2, 0x57a48c1f, 0x804b3649,
+    0xa8a33b15, 0x28f3cca7, 0xb1f64c9a, 0x11c58f69, 0x14afc69f, 0x17feb88b, 0x7a3cbad8, 0x55d609c4,
+    0x78944eef, 0x444b058a, 0x81cde12a, 0xc3a7adfa, 0xbe2b8a50, 0xf8d5c714, 0xf0c4eea1, 0x9c1cd311,
+    0xc15f761e, 0x87c02c92, 0x937645cd, 0x4d5251ab, 0xe299aa58, 0x218a5420, 0xed66698a, 0x5836eb37,
+    0xcbd2cc9d, 0x93470e09, 0xc2759b13, 0x9955f074, 0xbbc2555e, 0xf272a774, 0x404ec07c, 0xd561ad08,
+    0x4d3295b5, 0x5db2b4d1, 0x9797f861, 0x6d183d52, 0x95dcbcc7, 0x1731587d, 0xb6bd188f, 0x3ad3d4a7,
+    0x6820e0db, 0xcaf697e7, 0x47c94156, 0x64cb7f6b, 0x4f5fc8c6, 0xbd2f1f55, 0x2fe169ce, 0x121cb4b0,
+    0x6b36bf52, 0x093c1128, 0x7c41bc7f, 0x17c7138f, 0x2a23ffce, 0xc550f100, 0x98c6ce82, 0xb7501e36,
+    0x54e151f5, 0x2534c089, 0x771e6269, 0xd24e42c4, 0xf6a25c66, 0x76d7d62e, 0xcd4853ca, 0x133374e6,
+    0xad2f1150, 0x35aa3db3, 0x0db3fc69, 0x313dc101, 0x322a2fa0, 0xf6291873, 0xfd467eec, 0x579341b6,
+    0x605e2cd3, 0x94afdcec, 0x524b461b, 0x2d41017d, 0xd6dc70ae, 0x1c33cba1, 0x8a38b9e8, 0x20e42bb6,
+    0x713b57d6, 0xf1f9b923, 0x4061b37b, 0xf4d4786b, 0x0797398e, 0xb271bb57, 0xe8eaacea, 0x50b08bde,
+    0x6f087404, 0xfe9bc96e, 0x0d883634, 0x895f6b49, 0x3be70b78, 0xe642e7e3, 0x8ff1900d, 0x2d0f8230,
+    0xb0745386, 0x7217941a, 0x9daa40f4, 0xcdb0a3b0, 0xd6e95775, 0xe8e133a8, 0x039cc683, 0x5b05f16a,
+    0x66d71f5f, 0xa3fc9518, 0x99b3798a, 0xc46dd59a, 0x7234f6ad, 0x187b9279, 0x7ef92293, 0xe372cdbf,
+    0x455aa717, 0x08d5a924, 0x866edcf9, 0xbd549b5c, 0x9936cfb3, 0x8686ad6a, 0xf145893a, 0x409e8bbf,
+    0x53d73a7e, 0x870d4127, 0x5eb515d1, 0xca9ecaa3, 0xbaa82def, 0xdd885955, 0x7238a144, 0x28a9a57a,
+    0xaa37f5ac, 0x1633fc1e, 0xe7c6df05, 0xb83a56b7, 0xa001dd36, 0x118ef626, 0x5432ba02, 0xfaaef3d6,
+    0x672316b4, 0x73e55339, 0x6c95e4f3, 0x90c712de, 0x77af2bb5, 0x60108986, 0xc61257dd, 0xe3ac7c37,
+    0x8f495927, 0xc4c94208, 0x6c724319, 0xc8b3b6d2, 0xfbf2d765, 0xec480b18, 0x41e7605d, 0x9eef2083,
+    0xc0a1a1e4, 0xbc53fc49, 0xfc1e0afa, 0x64095c05, 0x0039651d, 0xafd6058c, 0x5f21129e, 0x30b25bd1,
+    0xe4b2e7a6, 0x13e8b277, 0x1b8237fe, 0xb8060aee, 0x3a981d3b, 0x8e200885, 0x3c8a8e6a, 0xd69556fa,
+    0x4ffea1ed, 0xd1fde2a7, 0x9ef4ad4f, 0x66ae95b9, 0x8c92810b, 0x76302217, 0xfc301325, 0xd66718b9,
+    0xafc6675a, 0x394ab665, 0x9e9423bd, 0x4d988efb, 0x7d1f0aed, 0xe724ee0b, 0x1761147f, 0x1c872b75,
+    0x8dc8f497, 0x0c7b494e, 0x2642d449, 0x0b26affa, 0x4c4618eb, 0xa768c966, 0x880398b9, 0xe5409069,
+    0x0001a1a9, 0x923ef8f7, 0x74bd063d, 0x6030db23, 0xed4dc422, 0xe841d428, 0xf4655af5, 0x9186b17e,
+    0xed003c1b, 0x8d6747ff, 0x18a9d691, 0x0027e50d, 0x19db6fac, 0xfc080644, 0x8c1c700e, 0xfaf59728,
+    0xcc2f0247, 0x2ef0c1c1, 0x0496e2d2, 0x38f04808, 0x8fe79605, 0xa11330e6, 0x3a44fdf7, 0x6792ad98,
+    0x57f869e1, 0x991c247e, 0x7d8e5d67, 0xe70750f7, 0xc00af599, 0x07f2529b, 0xb347c440, 0x40a7eab4,
+    0xa9d129d2, 0x568da683, 0x8ce4e4d9, 0x90556668, 0x66a15b56, 0x3ad66f3b, 0x179cc4d1, 0x916bb5d3,
+    0x4ba31338, 0x8dbee3dc, 0xeedb7dac, 0x24e48a28, 0xe57ce542, 0x39d7e005, 0xc2c35020, 0xc5245e2f,
+    0xab9b2cf9, 0xbbd21c44, 0xb7e4338b, 0xb6d1713f, 0x8fdca77f, 0x190e8901, 0x0f705d98, 0xeb3ec126,
+    0x20dd894b, 0x20af7501, 0xd64a2b2e, 0x876ba6fc, 0xa2cd0243, 0x00eba90c, 0x9fd3142f, 0xe2884072,
+    0x048e431d, 0x2c1841ac, 0x4ac80d69, 0xcb65ac7b, 0xe185eadf, 0x9a06bea7, 0x4ae4628c, 0x47109c9a,
+    0xc0421169, 0x87a31820, 0xd1504ca6, 0x9e904c90, 0x005c8505, 0x29a21e3c, 0x62a72133, 0xc8d42a78,
+    0x94112574, 0x2e36464a, 0x6c47d915, 0xc9926bbc, 0xf52c63ba, 0x98ea0779, 0x5e760a83, 0xc80649f2,
+    0x5aa30c96, 0xc4e817a9, 0x9e81e34f, 0x8602157d, 0x6eeaaf3e, 0x7d979a02, 0x40285599, 0x39e642ed,
+    0x3a80a6ad, 0xecf0298c, 0xef933c8b, 0x0a49d56b, 0x364806e9, 0xc5a16e88, 0x7f159ee8, 0x39632bca,
+    0x41c6f204, 0x24fd0888, 0xb7fcaad0, 0x0de64bfc, 0x4d593f39, 0x7e4547cd, 0xfe69a404, 0xed9ca450,
+    0xaefe453e, 0x8e5198c2, 0x1cf4e071, 0x9d9c9b02, 0x6d5c0406, 0x1ab8f979, 0xb0af4f91, 0xaf9e5357,
+    0x6bd7bbd0, 0x2828675c, 0x788918cd, 0x8477088e, 0xed565536, 0xd5367613, 0xa4cb49db, 0x96df55e3,
+    0xf0cdeceb, 0x70b6b645, 0x235f6019, 0xd404fc9d, 0x9442f0dc, 0xc97640aa, 0x86b1a2d0, 0x2f1e6875,
+    0x9396232e, 0x32517e87, 0xa244c82e, 0xf1f273dd, 0xe343cc89, 0x4abd35af, 0xef145914, 0x4e6a1b2a,
+    0xc6a7f0ce, 0x125bd15c, 0xcbd1bb52, 0x7d8d20b6, 0xf6b70e68, 0x356c755d, 0xfa679413, 0xd5b21cd4,
+    0x98610639, 0xc50ff420, 0x1d6e1e24, 0x2659a70c, 0xcadacb9a, 0x4aec0b6b, 0x694ba0fa, 0xc3820723,
+    0xdee35841, 0xe27458db, 0x6ae15574, 0xc292b732, 0xe3dacb60, 0x6b066322, 0xf7540f98, 0x5fa7cc3c,
+    0x6cc1794c, 0xc8745eb6, 0xe9c67a6d, 0x08e2912d, 0x51791357, 0xbf9ba6e3, 0xffedb5aa, 0xedc01bc8,
+    0x9665a2ec, 0x0ce6b2a5, 0x832a9835, 0x40932c44, 0x57a29d50, 0x03e013c1, 0xf33495f3, 0x47d3ee7a,
+    0xe598cd05, 0xe53124fb, 0x8d432a2c, 0xafaeba36, 0xc901ae94, 0xb1773f64, 0x0bb25353, 0x5d19b4c5,
+    0x5aa0f4e7, 0x2169c7e0, 0xbd9e01fb, 0x52da6f9d, 0x12bdc1a0, 0x8fa49ad1, 0x40c59b67, 0x6b85731a,
+    0x7eba91d9, 0xd91cfe90, 0xe040173e, 0x4d7a1df6, 0xa4540506, 0xcd8bfd83, 0x09395cd4, 0xcde46ff6,
+    0xf76b17c1, 0xe7749fe0, 0xb13f9b27, 0x9bc945a4, 0x5d6b5133, 0xeb7222b1, 0xdcecdb4b, 0x937a3dd5,
+    0x8f677f5b, 0xaaada654, 0xb947ab55, 0x36f3bdbf, 0x3afb8f50, 0xf8011f40, 0xd8479724, 0xde4edc02,
+    0x921459ce, 0x413d1b11, 0xd139efd2, 0xa7b15c04, 0x6cd6d2c0, 0xd1b36ef6, 0x494a7f3e, 0xffe273e6,
+    0x9a5c9cbb, 0x3db712de, 0x9b9e4759, 0x695f4616, 0x8dc537c1, 0x4fbdaa77, 0xe453e26a, 0xe12c00ef,
+    0xe808c9a2, 0xafc77473, 0xa29359d8, 0x72ac1fbe, 0xd51039f5, 0x916c68ab, 0xbd281af7, 0x247f5791,
+    0x92206446, 0xfde83a66, 0x1c7fabb8, 0x2d94f572, 0xb68236ae, 0xef2e9e9c, 0x8e2ac72e, 0xee03cf1e,
+    0xadc4b454, 0x82d3c76f, 0x7d25ea54, 0x56d2c48f, 0x8efdba12, 0x5403a8e5, 0xcb11f67f, 0xb7f079f7,
+    0x708bbb6f, 0x7bd625b1, 0x488858dc, 0xb9148f1f, 0x5cf13eb1, 0xdb2b9d84, 0x05600587, 0x49bf34af,
+    0x0f890d23, 0xcf79787d, 0x1631c3e8, 0xe5aa9b4e, 0x05b6581a, 0x6a2ce3a3, 0xe4b4b217, 0xa3c5b1e9,
+    0x10264fed, 0x6650a1fc, 0xf66276d8, 0xc442a2f9, 0xe152866c, 0x8fc5e12e, 0x8ec97c7f, 0xd427fa1c,
+    0xf13c4e51, 0x3c484eee, 0x9d4100fa, 0x526b739a, 0x3535480b, 0x140977c0, 0xec00f68c, 0x349ca32e,
+    0x53ba1fd0, 0xe1a85d2b, 0xdc66d006, 0xd111390a, 0xa750d1bd, 0x4b02eae3, 0xbfa68c70, 0xc51ce728,
+    0xbe59a8cb, 0xef2bf183, 0x94000e5c, 0x28536424, 0xba2616b0, 0x502a2d65, 0x3633c775, 0x2a9c696c,
+    0xaa064790, 0x33f5b616, 0xd1e5557d, 0x1088f59d, 0xc068fdb8, 0x1c0b96b6, 0x1d1f3246, 0x90fd42c8,
+    0x2c32a8fb, 0x5c180ba0, 0x8536c4ec, 0xad9669fb, 0x6b2528dd, 0x36c4b8f4, 0xe6802a84, 0x93c66cf9,
+    0x6b83787c, 0x25db3e6a, 0x2df79ceb, 0x272a30e7, 0x8f6353ba, 0xef3fe502, 0x63eb6945, 0x15246e8e,
+    0x7e49babd, 0x30fe085a, 0x53e15057, 0x800c3d17, 0x5d1b424a, 0xf13146e3, 0x57d8c70a, 0x42a2a815,
+    0xc6a7b883, 0xbb7d2694, 0x70a04da3, 0x6864cec4, 0x751ae2fc, 0x79953406, 0xa7719421, 0x33c861d7,
+    0xc4c4d5f0, 0x582e0f01, 0x7a074545, 0xcb43f7bf, 0xa840a721, 0x4e4e9a7a, 0xd7c449d1, 0x9b43ba5a,
+    0x1d1b79c9, 0xc64fde9a, 0x032147b4, 0x81e4fc50, 0x2136462c, 0x99c32676, 0xac36a9e5, 0x6eb3c140,
+    0xe285bf2a, 0x45ca17fa, 0x1e536742, 0xee01b13b, 0x593648d7, 0xc1aeb626, 0xeeaa554a, 0xfdebcf65,
+    0x724f6d2b, 0xdc2a15f7, 0xb245530b, 0xdf42b2e8, 0xbc1138ff, 0xdf5773ca, 0x1162788f, 0x8bc4c032,
+    0x99bc3584, 0xedc30353, 0x004e2783, 0x1b738839, 0xe6269c0a, 0xed3709bf, 0x4adcba4e, 0x38cd5130,
+    0x4f1ede09, 0xc4e34859, 0x471092ee, 0xa43c6486, 0x95ad10f1, 0x92cee85b, 0x3d672612, 0x45938868,
+    0x1c39a094, 0xa1d76bb5, 0x999fdc99, 0xa0572f02, 0xfadfee3e, 0x3fa47819, 0x5e98b30f, 0x8e6943d0,
+    0xb13d71f8, 0x462d9439, 0xbdb6386c, 0xcbb7b0dc, 0x6dbe8273, 0x3990249b, 0x5ab0f718, 0xc58b90fb,
+    0xa6cf2906, 0xe2fac352, 0x4d6f0a7b, 0x3594a100, 0xe52cb238, 0x7de93bd1, 0x742ff2dc, 0x5697bf63,
+    0xe6af7e5f, 0xb036030c, 0x490909ed, 0x6a53541b, 0xfd92bfa3, 0x3dace377, 0x2c4b2370, 0xc8e9af22,
+    0x63e3d435, 0xd0e6b2dd, 0x254c31dd, 0x629be123, 0xc5c6e3e9, 0xc398514c, 0xbdab371a, 0xc0a34041,
+    0xb53cb06d, 0xd7d76aa1, 0xb84963fc, 0xa4585ed1, 0xc79dee11, 0x0c5c4090, 0xd8d2ff55, 0xf34d0fec,
+    0x6f70246c, 0x1f71239b, 0x87487756, 0x14f20b34, 0x138c12b8, 0x6ee0dc6b, 0x18e6e7f3, 0x905d2a22,
+    0x31ef73c4, 0x43428511, 0x49ac5052, 0x284b59d2, 0x5e03ce45, 0x914527d3, 0xda601917, 0x0a0c4268,
+    0x96d83ad4, 0x2524e4e4, 0xae9c6e5e, 0x9c606e28, 0x8feb9518, 0x37c98235, 0x824642cf, 0x049ef061,
+    0x3826b67f, 0xe10c54ea, 0x3fb53173, 0xe16ec04b, 0xb8577267, 0xe04efb28, 0xfdcb6dc7, 0xefe50465,
+    0xb7b1a69e, 0x102cd67d, 0x189fcd5c, 0x052326c5, 0xaf1d5d8b, 0x4a6aa9b2, 0x49988f0d, 0xee9158db,
+    0xa963550d, 0x8b09de6e, 0x0c935753, 0x287f9e7c, 0xbcfa22c1, 0x2cf9a514, 0x4644158b, 0xccfbd0fa,
+    0x50953f0b, 0xcc2e3d2e, 0x0e708fd4, 0x48431aea, 0x815e308e, 0x02ff0153, 0x96a19a77, 0xc05963ec,
+    0x4ff2e483, 0x5dc9c355, 0x3b2a6be3, 0x4219f8bc, 0x07686c40, 0xd8e81310, 0x3914c510, 0x1356b6e3,
+    0xd8e00dac, 0xcbfcbabd, 0x60504a7e, 0xb68a0cd5, 0xc82add52, 0xb1497f6b, 0xee49c900, 0xbd5ea352,
+    0x42c66aaa, 0x87c45b56, 0x2d567ba4, 0x70bb2f62, 0xa358e292, 0xbddd464d, 0xcd521087, 0x0fbaa354,
+    0x7e8fa4c9, 0x16acd3cc, 0x9bd71d31, 0x093a882f, 0xe4775ff7, 0xbe2f8a48, 0xca30edfa, 0x60672838,
+    0xe69ec752, 0x4565c9e2, 0x45cf46e2, 0x3d7ce612, 0x72b41024, 0x321f74f6, 0x908f45c1, 0xc6b8ae99,
+    0xf770b3ee, 0xa29ef862, 0xcc272bd9, 0x37655a9c, 0xeadf4015, 0x73dc6bd0, 0xc151c949, 0x9ab9391c,
+    0xae57e086, 0xfcf0273c, 0x50f097aa, 0x6c025d2b, 0x306c581e, 0xef21d732, 0xffb21eee, 0x015010a2,
+    0xfe5d45cb, 0x91b3c147, 0xa2bc810d, 0xc722deec, 0x2f5f18f5, 0xb79df198, 0x60b7d1d1, 0x45102995,
+    0x4709fe75, 0x21ce63c5, 0x73224a9c, 0xed9f3994, 0x8f4e987a, 0xdfa14641, 0x2e80994e, 0x831cc018,
+    0xc6f84dac, 0xd3a3ff8b, 0x3741184e, 0x7b31282e, 0x504d53ed, 0x1aa9f321, 0x821e2e7e, 0x705fc20c,
+    0x6084cc8e, 0x806d4f51, 0x01dd04f8, 0xd6927997, 0x109c2199, 0xc4f4c9d3, 0xa53c7348, 0x8fdd86cd,
+    0xaef8197f, 0xddc5e52b, 0xca1ae52b, 0xc10c1e10, 0x15849a9a, 0x9321602c, 0xb6f414a3, 0xff1c418f,
+    0x6b291944, 0xada85821, 0x84e986ae, 0xeeed66a6, 0xebb93790, 0x8aaedc56, 0x95661be7, 0x010c8861,
+    0x032ed561, 0x5e91aa6d, 0x6b5f4a09, 0x1d81e270, 0xc9c15d75, 0x66673e78, 0xeb9c7a80, 0x6cb6edaa,
+    0x1b627883, 0x8249d466, 0x273a00cb, 0xc891ba03, 0x1f95725d, 0x75e4ee9a, 0x3611d51b, 0x4f7f4835,
+    0x5ceaab6b, 0xa1f8ef2c, 0x7e914133, 0x61043ad8, 0xbf718130, 0xb5f89b9c, 0xcee7a71d, 0x7e5524e8,
+    0xb2717294, 0xd7c1b710, 0xbe976be1, 0x8e00e930, 0xf4f47111, 0x56b73492, 0x1cfeb8a6, 0x35bcfa5d,
+    0xb9e598a3, 0x746b051c, 0xf1358b3f, 0x57c6b850, 0xb515e8d0, 0xc46d36b8, 0x027435f5, 0xb7d23049,
+    0x4d0c7d3d, 0xd2a3d0d3, 0x0d521dba, 0x758e68d7, 0x723b936d, 0x9bcafd6a, 0x6f2cd3a1, 0x3ed15af1,
+    0x7cf58797, 0xe9b45b58, 0x306b2b7b, 0xf296ac16, 0x7caaa89a, 0x3913746d, 0x14f02422, 0x213ae131,
+    0x81f6edfc, 0xa5accd4f, 0x66ff1187, 0x5653441a, 0xa2d5acfa, 0xf0a013f2, 0x907c8935, 0x95e77cc7,
+    0x763bc5d1, 0x68791994, 0xa0f8609c, 0x39f0491e, 0xb4534e4e, 0x87b2c2d4, 0xd9c31961, 0x5eea9c1c,
+    0x17359117, 0xf7f904c3, 0xfbf922f6, 0x1d7735d9, 0x0bc3f927, 0xfc6f521e, 0xbac6349c, 0x79df1065,
+    0xc43e046e, 0x647ef7aa, 0xe768ee98, 0xcb6d3a3d, 0x1cc525ec, 0x937c3902, 0x16c7dbdf, 0x48de2216,
+    0x6da77dd2, 0xebdfdc77, 0x17710442, 0x72d547c5, 0x8d23ea8f, 0xafcf23af, 0x86e28742, 0x75fd6f43,
+    0x622f9d59, 0x7a8543ce, 0x90f39054, 0x55732ac7, 0x67e9ae1d, 0x2b394667, 0x0b536e8a, 0xfb65a046,
+    0xba0e60b4, 0xf3715779, 0x3f01626a, 0xc0151131, 0x0709a021, 0xd8aed525, 0x4ecf52ab, 0x73ad65fe,
+    0x33062598, 0xffd09d88, 0x62df6879, 0x1a95d89d, 0x793680fb, 0xbdcb39f8, 0x7ddaa112, 0xb4a0c084,
+    0x2ada2863, 0xd2cc6f76, 0x78026c5b, 0x57477123, 0x98d48419, 0x528c2a05, 0x448b99a6, 0xfae6a6e5,
+    0xb2fdbc57, 0x2e69a33e, 0xf9ef9807, 0x4d76e316, 0xbda2c8c5, 0x5a4a3854, 0x11b34146, 0x49d00378,
+    0xd54fafe3, 0x5232a8ac, 0x5cf548dc, 0xfcd7b19e, 0x6ea701ba, 0x1e2c84cb, 0xc2195793, 0x916a626d,
+    0x30ae0e1c, 0x112e914d, 0x0af0317a, 0x97b59451, 0x2110887c, 0x56c9013c, 0xd3818c03, 0x93edaf3b,
+    0x314e7a69, 0xa45e2570, 0x1b1b78fe, 0x25ad8e11, 0x42a85b64, 0x384385a8, 0x1f6e5856, 0x9d85ca7b,
+    0xe40f2aa9, 0x6b52e586, 0x2a715821, 0xba35fcd1, 0x36c286f7, 0x4b781475, 0xd7d96838, 0xeb10a649,
+    0x00000000,
+    0xb353d80b, 0x9533fc58, 0x92015972, 0xf5850d7b, 0xaad8eb42, 0xce8f892f, 0xf7a77547, 0x67419943,
+    0x2020b9e1, 0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x4035269e,
+    0x00000000 }, /* 10**00032733906078961418700131896968275991522166420460430647894832913680961337964\
+                         04674554883270092325904157150886684127560071009217256545885393053328527589376 */
+  { 0x00000000,
+    0xd9563c36, 0xe630f0a5, 0xd27bf147, 0xed16c31e, 0x84b90e29, 0xbfb02944, 0xa1930cc1, 0x4b8a1dcd,
+    0x61967251, 0xb0cb0d65, 0xc8379416, 0x6c0453c0, 0x8094d2da, 0xfd931586, 0x8851f5d0, 0xc14b1673,
+    0xe62a287e, 0xb1c554a6, 0xc0f2d41d, 0xb9e15b91, 0xc8129f18, 0x05c4111b, 0xd54c8b4d, 0xd1ebb39c,
+    0xa2153157, 0x8ab19cbd, 0x426fdba4, 0xc491daf7, 0x09691f2a, 0xb045ef3c, 0x7fee1da1, 0x7c51875e,
+    0x3a38dd9f, 0x8d1a328f, 0xe63fdf82, 0xbac9adf3, 0x42088a27, 0x5cb08e37, 0x76ef747a, 0x06329c3f,
+    0x33ac8d63, 0x4acd689f, 0x2791b885, 0x6e521d51, 0x09cdfce5, 0xa333dc6f, 0xcb13a758, 0xd7dd0c58,
+    0x98210b8a, 0x0c91d004, 0x301b92f5, 0xb2d390c9, 0xeb9cf434, 0x3f0e6ca5, 0xbd905682, 0x76801ef8,
+    0x57760248, 0x86e53b4f, 0x65d135eb, 0x876d80f4, 0x27842cf5, 0xa2f2ce3c, 0x9e3dddc5, 0xf629b3ad,
+    0x2f3a2cbd, 0xb8b05251, 0xd10a1a06, 0xaf33a511, 0x0da6324a, 0xe1caa5e8, 0x2174ac28, 0x5d3422d7,
+    0xbfce7539, 0x247fffc5, 0xefc5827a, 0x29b2fb62, 0x246bc271, 0x8dc3fc10, 0x9c559117, 0x62931652,
+    0xa9b3a499, 0x5bf278ab, 0x1e9adca1, 0xc4c8d770, 0x10c37d2e, 0xa80905bb, 0xd4a15063, 0xee76b076,
+    0x98901ed8, 0xfad70b21, 0x25f5d1bd, 0x491347d7, 0x441f48d7, 0xb3779a67, 0x46795ad5, 0xa70189c9,
+    0xc8fd3815, 0x90ce3a2a, 0x4302f8fd, 0x672a7099, 0xacb4dd4d, 0x6c78206e, 0xf5e4b1b3, 0x2180ebba,
+    0x3bb7c481, 0x43cd86bb, 0x81662585, 0x354efae7, 0x33868317, 0x2eeab508, 0x9e35a60b, 0x43d298ee,
+    0x0b8dfa0b, 0xe5c496c5, 0xdf5818be, 0x52e8ac73, 0xe95f2c0a, 0xdca54e2d, 0x04636db8, 0xd68ef4b1,
+    0xab8b155f, 0xa7de5e03, 0xfa67d348, 0x1fd1afec, 0xaecbfc68, 0xf5f41488, 0x7d4892ec, 0xead1a33c,
+    0x5d1cdf78, 0x7e7834ab, 0x61837b67, 0x5d1a969e, 0x312386b7, 0x208a6649, 0xc8ff2dff, 0x0351d1ab,
+    0x8780ba62, 0x3dbb0be2, 0x818f058b, 0x80a1c486, 0x9fa9b066, 0x9a505e70, 0xd49b8abd, 0x0bc949f5,
+    0x1a0a9344, 0xf92d1e40, 0xac70b1be, 0x4a0de375, 0x4f35823a, 0x8dd8799d, 0xea638e70, 0xaab858c2,
+    0xc2de0253, 0x2bd9a8bf, 0xee3b1d20, 0x4befa230, 0xaaebcc76, 0x70486e41, 0x05361640, 0x9b85b0d3,
+    0x74670fc6, 0x31a06a39, 0x59691f92, 0x251fa66f, 0x97d03389, 0x3d448aa3, 0x3a76294b, 0x6bc74d31,
+    0x09e77bda, 0x0ede4a7c, 0xeb49d15a, 0x6abb616d, 0x3a64117e, 0x5cc17b86, 0x5c97c2ef, 0x77360f55,
+    0x36ddace3, 0x8a7dd519, 0xc4cc6dd6, 0x039a55b6, 0x8ee89910, 0xa26ae171, 0xdc99bd3c, 0xe0947e46,
+    0x85a934d8, 0xb8d7bfc3, 0xb4242236, 0x8a3c26f9, 0xf8d6ce7a, 0x512c9adb, 0x35a18d40, 0x5ca824ec,
+    0x15b24690, 0x86a03b31, 0x7c8da8bc, 0x2f3fafd0, 0x30072e8c, 0x30260dcf, 0x42b0a2dc, 0x356665f0,
+    0x773ec64a, 0xf9f02326, 0xa3fbd5c5, 0x91ab5aee, 0xc34d6375, 0x33bbaf8c, 0xbeb108c9, 0xa4ee1979,
+    0x28e8b4a9, 0x19e9a5fa, 0x4052284e, 0xd8cc08bd, 0x8cbbe815, 0x0163c6c4, 0xf789b05c, 0x9005f5bc,
+    0x579478fd, 0x13dcf640, 0xbdfdc707, 0xb9ced4b0, 0x391288d5, 0x60d08f06, 0xc30f8809, 0x4e1a7d79,
+    0x6ea19814, 0xc96b2ab3, 0x6a2ba884, 0x725fecc9, 0xe555867e, 0x84045ba8, 0xe4095298, 0x7e1aff37,
+    0x76120ed7, 0xd4278871, 0x03db01a1, 0x740fdc91, 0x9afc0338, 0x6a911980, 0x33d3c554, 0x9530c81b,
+    0x2bc05574, 0xdc5d1ac7, 0x87ffdc80, 0x86cbdf2b, 0x2685532b, 0x5465582e, 0x0ff21314, 0xb03bd9b4,
+    0x69329dbf, 0x19ff3a34, 0xadb50f64, 0xac171abf, 0x5adf1c9d, 0xb5bcf166, 0xe968045a, 0x54eb8fa2,
+    0x13544775, 0xbd75b9e9, 0xc0bea1f1, 0x49163b7e, 0xf2772556, 0x30dcc74a, 0xa51a45a6, 0x60a6e88e,
+    0x7a7bbbaa, 0xdd34c98e, 0x828d534c, 0x2f136a01, 0xdcb50e07, 0x36c015a4, 0xa176c591, 0x3a4211af,
+    0x812db82b, 0x518d3ae6, 0x55e76a4a, 0xe0087e24, 0xc4e23216, 0x06d3c6b1, 0xab2ff987, 0xb2f080d9,
+    0x93cc8f13, 0x0191e451, 0xd4bf5911, 0x7e992a45, 0xb88ef133, 0x2838a0ed, 0x9ec9d5fb, 0x75d6affb,
+    0x8e29a913, 0x9145af9c, 0xa9fe2446, 0xa1d30391, 0x6e47bf14, 0x8ea2c407, 0xecf9467a, 0x979c067c,
+    0x7bcd8f19, 0xf1402868, 0x7a8a2e6c, 0xdf898d8a, 0x708f756f, 0x19da897e, 0x88694a89, 0xec28a92e,
+    0x2bb3bb1d, 0x8355c780, 0xde051fac, 0xc78ab64b, 0x9c6aec87, 0x0e8de41c, 0xf5344a9c, 0xf7f471d2,
+    0xc43fec75, 0x131ff29b, 0x74b42935, 0xc37c1b4e, 0xcbaa5d5d, 0x00dd3c46, 0x9843db85, 0xaf352232,
+    0xce32f7ee, 0x0db34751, 0x7eff8d8e, 0xdb953bff, 0x19885393, 0x5ae92bbf, 0x13576d5f, 0x3d149b8d,
+    0xbef5ad9f, 0x0c4cc679, 0xfaafdbec, 0x31038c9e, 0xcfadbf0b, 0x716af707, 0x57ebc695, 0x7596f8ad,
+    0xfe0611c4, 0x676ea6c2, 0xc1e188cf, 0x5028c8c4, 0x32214e55, 0xa3a11afb, 0x6b7bee23, 0x61c40ad2,
+    0x784dbeee, 0x3b6e7213, 0xd28903e8, 0xf9ae6943, 0x192865be, 0x9aa460fb, 0x09c13c5e, 0x3d8f2678,
+    0xd72b5a99, 0x0153bf2a, 0x105233ca, 0x7cff5831, 0xc0f1b614, 0xae9e28ee, 0x8f76704c, 0xfe5fee63,
+    0x29a78d3a, 0x7ff4b2e9, 0xb5431b9d, 0xe3807166, 0x79ae7122, 0x62d28864, 0x724cfed9, 0x69de32ff,
+    0x21e2e66f, 0xea061562, 0x6816b889, 0xd7c66535, 0x9c43c681, 0x101e461f, 0x35d38e2b, 0xe926c008,
+    0x14990677, 0xee08df9d, 0x6f7e2fb5, 0xd9b149ab, 0xfe2f0aa6, 0xd6d1de6a, 0xa27c6ae7, 0x802acec3,
+    0xe14d01f8, 0x17afd333, 0x283f1a08, 0xa60241d4, 0xcd794cb3, 0x903ee2ec, 0x9833fec2, 0x8a95bcf6,
+    0x862d33d2, 0xcd473206, 0x2668e4ed, 0x0bd22601, 0x0a7e6ee5, 0xe5be3141, 0x26857fb1, 0xc2afbbd4,
+    0x25e8ec41, 0x29f09130, 0x87966609, 0x3ea4314a, 0xdc0d0452, 0x97137689, 0x8ae97539, 0xaa3abc79,
+    0x8c2ff66f, 0x4a2e332f, 0xe7081d83, 0x6927a799, 0xa0cddddb, 0xbbf29f6e, 0x1545146a, 0x74efedd4,
+    0x7cbdcb4e, 0x0e5a9b1b, 0x2aeb83fc, 0x3ae7afbf, 0x74395ac8, 0xaa40a464, 0xabe0ec83, 0x03e0948a,
+    0x29c2fc57, 0xd6fa63c3, 0xb7a7e2ba, 0xd0e72fb1, 0xfbccd676, 0x61e589b4, 0x5c1c5ad6, 0x2edeacf6,
+    0xf0d124b0, 0xeb9eabc2, 0xf6e71ae9, 0x7d74f9e4, 0x5d429e11, 0x25fba1b1, 0x3de48857, 0xe7a5a460,
+    0x7519bcaa, 0x33784197, 0xf5c4c02c, 0xe73bbf72, 0x1b67227d, 0xd6b6b889, 0xde25e082, 0xb4927afa,
+    0x39811f55, 0x3658f984, 0xedea1bf8, 0xf2f2b961, 0x14789941, 0xb6e115f8, 0x71c66aa4, 0x3e25ed2b,
+    0x802e87dd, 0x526d5ae1, 0x0ab7095c, 0x1549233a, 0x396467b6, 0x0096fb73, 0x668307fc, 0x26407fd6,
+    0xe7adf503, 0xd9c84756, 0xc10288a9, 0xafac181a, 0xe3ef1073, 0x8581ea50, 0x5520883f, 0x7fddf9dd,
+    0xfac033b7, 0xfb784563, 0x9da1fc91, 0xd6f36585, 0x21d9e629, 0x66925479, 0x705d6e08, 0x4df89b56,
+    0x249c5ff1, 0x06ea3489, 0x664a5fc9, 0xb24e2b87, 0x2aad9031, 0x1462f7f6, 0x5c48dc94, 0xfbed0c7d,
+    0x36482e22, 0x008ae3f5, 0xd4a1039d, 0x2431b298, 0xed239fc6, 0x8fe013ca, 0x76e34ff9, 0xf94c5c1d,
+    0x54381404, 0x429aa21f, 0x72a815f5, 0xd3e4a4e8, 0xf338a4a6, 0x6be2ad6e, 0xd3259263, 0x1dff18e4,
+    0xcce960ab, 0x4b6a55a9, 0xbd9a150a, 0x166f4c51, 0xdb3588d7, 0xdf84595a, 0xf7197ce7, 0x9b8e6f52,
+    0x32e87a85, 0x9b280f46, 0xcc9a58ad, 0xc8cf90c5, 0x901a3087, 0xd9243bb0, 0xa0a3b61b, 0x361b1106,
+    0xdc0c2022, 0xd17b0e1a, 0xbf8d2bff, 0xb53b13db, 0x2b70bd2c, 0x011622b5, 0x00122a34, 0x002783e4,
+    0xce1b3d4c, 0x7872dee8, 0x6dcf5730, 0x127e5067, 0xd9697a04, 0x5ed7aa4d, 0xf5a874f4, 0x1b6d8e06,
+    0x3f9eabe8, 0x2359c193, 0xf1f56e4b, 0x13ceadf4, 0xaf49663e, 0x98ea04f9, 0x12f232b1, 0x122a09e8,
+    0x3d787600, 0x62e50094, 0x9c627879, 0xa5ce91f8, 0xa0a11838, 0x31d35901, 0x4c6bdde1, 0x5437004f,
+    0x72f3d1cd, 0x17fd0820, 0xd123ea05, 0x51e76078, 0xe7c60aea, 0xb294888d, 0x9ccc6aee, 0x7aa6c1d6,
+    0xac17cdb1, 0x2fd56619, 0xedccd0ff, 0xcd8c1cd4, 0x2214cd97, 0x6b8352fd, 0xaadb322e, 0x22532b2d,
+    0x0018d801, 0xecea71c7, 0x18829bed, 0xed3322aa, 0x243fd416, 0x050fc1b4, 0x77625948, 0x2c0d686e,
+    0x05df837d, 0x86747ffd, 0xa7963d3d, 0xc847e850, 0xa9f8e00a, 0x00c02d53, 0x323a1c32, 0x34062d51,
+    0x83db95c9, 0xddeaf287, 0x014ac679, 0xaeb7f5ec, 0xa9496c2c, 0xe8c7de43, 0xe9c631eb, 0x3681c31b,
+    0x6418b9d9, 0xcea3b311, 0x020a3e2a, 0x6eac25c1, 0x9b51640d, 0x00bee53e, 0xc6b99ee6, 0x634f9e6c,
+    0x1b9e0c7d, 0x86d55bb9, 0x01ee0f1d, 0x47bb5aa2, 0xa26a632e, 0xe60f5546, 0x6649d828, 0xf1010ecd,
+    0xf18f7fc0, 0x99a1809d, 0x7548e1ca, 0x63ad7e8b, 0xb692b619, 0x0ae6134e, 0xf1baaf00, 0x20948fae,
+    0x40199afc, 0xc98e6958, 0x76a0a945, 0x0a78caa1, 0x8517b997, 0xef143716, 0xbe0dc46d, 0x9da84791,
+    0x3a7ec287, 0xe0d2f468, 0xc28ec1cb, 0xa533ce0b, 0x67422acc, 0x9259cb2d, 0x9323557b, 0xb2d5012a,
+    0x477a85e6, 0x08e5cbc4, 0xfa9ead19, 0x9241bff1, 0x1226bda3, 0x1150be89, 0x2cf9338d, 0x4ab69bbe,
+    0xd763600a, 0xd47b29b9, 0xe509a7ae, 0xfc4149be, 0x095b7bfe, 0x46882428, 0x73530784, 0x049d279e,
+    0x73f26555, 0xb8f43ec5, 0xd71546d9, 0x233bc98c, 0xe17da4ed, 0x5588364a, 0xd7083150, 0x79c6df71,
+    0xc1fed4e3, 0x8f1ece30, 0x1ae9e304, 0x66542f27, 0x6102c8c4, 0xb9d8002f, 0x41c5b768, 0x839c7227,
+    0x2e8df8f3, 0x32993f61, 0xa2a90960, 0x20fa0d90, 0x521e8de2, 0xdac4d3b6, 0x6e4cf295, 0xe3ba812f,
+    0x1cf59f72, 0xe1c50e10, 0xb5a81315, 0xf4632043, 0xd6102cb6, 0x1d6d96d2, 0x5228a8fe, 0xfa9b54ef,
+    0x90ad042b, 0x0de2f17e, 0xea90f73a, 0xe7564f46, 0xd9bc6112, 0xb25aead7, 0x1e3fa73d, 0xb9db9b13,
+    0x46f91df8, 0xafc246ce, 0x4cb43a3d, 0x81e39dc9, 0x09c76843, 0x924ab8d8, 0xef2cb3fd, 0xd0b637f0,
+    0xbd104564, 0x8a209fa9, 0x33744334, 0xaae61609, 0x5690f8d8, 0x49488ad9, 0x830977bb, 0x50bb660b,
+    0x7926751f, 0x7ec4074c, 0x067e7e11, 0x91f048f8, 0x4aa2c1da, 0x9dae7f79, 0x2444b4a3, 0x535bdb62,
+    0x213f1dee, 0x9d1625e5, 0x17cf184d, 0x8e41b731, 0x109bafa3, 0x77c7d9ab, 0x76951e07, 0x845bf1fc,
+    0x9967369b, 0xeb445db1, 0x2d27d3cc, 0xb55a711a, 0x5fc4bf7f, 0x2b665fae, 0xd1122cf8, 0x9b37ac85,
+    0xa49b47fc, 0x357110ae, 0xfa063142, 0xfc0e425f, 0x9922156f, 0xc26e4787, 0xc46c80b0, 0x41f9b979,
+    0x9d083cfc, 0xdd1c52e0, 0x1fe056f0, 0x3cbcad8a, 0x6f91c907, 0xec32670e, 0xcf4c6f39, 0xbc430d5d,
+    0xa644c12c, 0x60126289, 0x25b03a2d, 0xe13b38f4, 0x393a447c, 0xb11ebd34, 0x1d93e9d3, 0xde3a4abd,
+    0xe1b9d2f2, 0xf908d20c, 0xf1085d9f, 0x5e36054d, 0x3d6d4324, 0xee1327d9, 0xf209bd6a, 0x831292b7,
+    0x42790709, 0x2e286bda, 0xed875f88, 0x11655bd4, 0x829e4566, 0x33703d87, 0x573693bf, 0x6b4fdccc,
+    0x7914702d, 0xae8c2706, 0x2db0e8bf, 0xf9b68553, 0xa37d7d79, 0x13a3af97, 0x1aa0faff, 0x112107ae,
+    0x92829e88, 0x0670af2d, 0x3f052315, 0x6661dd93, 0x53fbb9e7, 0xbfb63746, 0x0614daac, 0x055be58d,
+    0xb1859883, 0x6939dc64, 0xca11ad7a, 0xae22eddb, 0xdc878776, 0x1a448df4, 0x0e222b1d, 0x63c78ce8,
+    0xd1a6fa5d, 0x570cf354, 0xb2bc2740, 0x9a249dd1, 0x283e0f08, 0x05858b80, 0x040a65e0, 0x1398a1e8,
+    0x5a2a9aff, 0x1df9d917, 0xb4fcb9b6, 0xed069e5b, 0x12571341, 0x6b4f43f2, 0x10c2e070, 0xb6b468e2,
+    0x2bec5d38, 0xe21c5494, 0x35d4d9e0, 0xb89afed9, 0xeeca4f1f, 0x61a899a2, 0xf0d8160f, 0x6199fe84,
+    0x1e387c8b, 0x4cd045ff, 0x486f469a, 0x80878122, 0x682367f9, 0x341787f5, 0xb75f8828, 0x30dd46e4,
+    0xac34619f, 0x124201c1, 0x9a0b5cae, 0xa1af5987, 0xa929d03d, 0xdb5a8985, 0x810bc891, 0x2329d584,
+    0x2288ebeb, 0xb08c9a47, 0x780d72da, 0x2094d286, 0x7f70da31, 0xe0dc4d41, 0x102f569a, 0x82d8e13a,
+    0x808b94b6, 0xe56ad685, 0xf32b246a, 0x161df818, 0x5ea43a0b, 0x2d984aa1, 0x2f1d26fa, 0xc6d68284,
+    0x8f717243, 0xdcf58b8b, 0x9ada4c82, 0x35375fa2, 0xde92b163, 0x3d214b1f, 0x32c8255f, 0x0975fb73,
+    0xdad0a9d7, 0x525932de, 0xe090073f, 0xf8be771d, 0xcd2f93c7, 0xd6686c87, 0xab81bfaf, 0x6dde4704,
+    0x7256f79a, 0x40cbff66, 0x4460aeec, 0xf54aed0d, 0x07366070, 0xa0e10149, 0x5f294a1a, 0x3563a75e,
+    0x9832c41b, 0xc2f5d61a, 0xd85ca4cb, 0x57d0e3c6, 0x88d9b22a, 0x941da9d0, 0xbeca3a13, 0xace4efe0,
+    0x9c3ebdb5, 0x36372e82, 0xe206c705, 0x4817ca4e, 0xdf89d26b, 0x61c2150a, 0x70f09043, 0x697cfb13,
+    0x0751a5a5, 0xf08196ed, 0xd0ff5f9b, 0x4ab8d123, 0x58cdae2b, 0x9afc6103, 0x541345df, 0x347dbd7f,
+    0x8fbdf25d, 0x5a9af303, 0xf8bc104f, 0x556fc7ab, 0x4414605b, 0x8e87fc15, 0x1d70d892, 0xdf2ff11a,
+    0xf5113d1c, 0xd73b175c, 0xb9286a77, 0x64882ae2, 0xe8d1f975, 0xb55891d3, 0xaa05690c, 0x7e2728f0,
+    0xeeb1ab88, 0x3f20b49f, 0x4a37cb45, 0x3e5897ae, 0xe0cb399c, 0xcb6c046e, 0x39cc5ab8, 0xc3ad87c1,
+    0x2b85659b, 0xd1e6feed, 0xe609648b, 0xcf2ff2aa, 0xd405a3e8, 0x28187530, 0x7a137b77, 0x27ea8b16,
+    0xb7a5d6cb, 0x7d7db0d2, 0xcbf5c8a1, 0xaa460140, 0x784b285d, 0xc97c27c9, 0x458a2842, 0xd58f8c6f,
+    0xc51c831b, 0x3932b121, 0xcf4b7aef, 0xd74ba9b6, 0x61c7f531, 0xddbbc0e8, 0x1b0145b1, 0xc21f32d1,
+    0xaee04083, 0xb7ce508d, 0x81aaab28, 0x6ed48f14, 0x56e447bc, 0x80408391, 0x229168e0, 0x1d3ede47,
+    0x6410d3ca, 0x69198a22, 0xc6c66456, 0x07339010, 0x00d38392, 0x54c2bd2f, 0x79406cab, 0x243cd13c,
+    0xbc54ee00, 0x8ca38c49, 0xbf1d7d11, 0x051e4a1b, 0x470edb53, 0x90ca7bb9, 0x54c61c3c, 0xd9d8760a,
+    0xe7805d1f, 0xc58b5a0e, 0xa758fc15, 0x8dec9af8, 0xe1804291, 0x43ab1dde, 0x98a80188, 0xccb4c911,
+    0x166ed099, 0xc7b587a0, 0xe42a4c0f, 0x752d5cf4, 0x5796b3af, 0x65ba9587, 0xc4772d18, 0x32cab31e,
+    0xd132a382, 0x3b21d3f8, 0x994c2f5b, 0x0ca69858, 0xf905d999, 0x25936e18, 0xdf95e73c, 0x951e0032,
+    0x3bf9cbda, 0x277db3be, 0x66d1023d, 0x80e2d5e6, 0xe6fd5882, 0xa42a2638, 0x25dea0d8, 0x7afed4b2,
+    0x507f5c07, 0xe6a9a881, 0xf3020df6, 0x2ce3ed94, 0xbf088ebb, 0xa778853f, 0x39809a20, 0xad75b9b7,
+    0x00000000,
+    0x59a9ec05, 0x4a99fe2c, 0xc900acb9, 0x7ac286bd, 0xd56c75a1, 0xe747c497, 0xfbd3baa3, 0xb3a0cca1,
+    0x90105cf0, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x401a934f,
+    0x00000000 }, /* 10**00016366953039480709350065948484137995761083210230215323947416456840480668982\
+                         02337277441635046162952078575443342063780035504608628272942696526664263794688 */
+  { 0x00000000,
+    0x31d0283a, 0x451fe564, 0xe8a867de, 0x21b1ad9d, 0x37ce339f, 0x98a34a24, 0xef93073f, 0x4770a25d,
+    0x9c7b6bda, 0x08e17973, 0x86cb892f, 0x42e6e068, 0xa20bf102, 0x05cea4c2, 0xc5187b13, 0xe9492086,
+    0x0374da1b, 0x2e7fa0f6, 0xb365beed, 0xeaeb506d, 0xf6056fee, 0x047fca0c, 0x2a2cb944, 0x74397bbe,
+    0x9c39afda, 0x4c5025c0, 0x6a00ecc1, 0x94a7bd53, 0xaeeebf6e, 0x9c70fe20, 0x110e0df4, 0x9d6827ba,
+    0xf6055e0a, 0x4d8c672a, 0xdd662d41, 0x2f951187, 0xe7b2802b, 0x01e9a5c4, 0x7e1d7458, 0x9678cef6,
+    0x6cd2097a, 0xdf4d3b03, 0x2ca39da0, 0xc27a76d4, 0x14b31c4b, 0xae3e0313, 0xef9ea8e5, 0xbc0f56fd,
+    0x82f5acad, 0x0d6ceed4, 0x588ed66d, 0x53c59523, 0xcfd60bcd, 0x9dafc51d, 0xd3863189, 0x0cb9da46,
+    0x739ab529, 0xc89a0e64, 0xe44c836e, 0xc31df625, 0xfa47bdfd, 0xba3b4858, 0x7dd5d3c5, 0x6fb90a4b,
+    0x000ee1bd, 0x44aa2ca0, 0x934f9a60, 0x7d978db2, 0xb4ab1ea6, 0x0676e996, 0xd8491275, 0x361e3d1c,
+    0x1563a114, 0x79dd1448, 0xf42bb537, 0x0a1cecb4, 0xfc610e42, 0x6464ae1a, 0x8984ed13, 0x829e5044,
+    0x4ffd847a, 0xcb725e41, 0x79aeca3f, 0x29a1be51, 0xf6c2e185, 0xda2855c2, 0x69d4ffc2, 0xcc798e98,
+    0x18be157c, 0x76230c9f, 0xbc5b2c55, 0x44f04a2f, 0xf82b0671, 0x34ed7124, 0xa5725e38, 0x81971cd4,
+    0xa5736a9c, 0xcd8774cf, 0x75c89f69, 0x2625d9d9, 0xe3fc0d4a, 0x9f51090f, 0x0e1b4774, 0xbeeaecc2,
+    0x2857683d, 0x8c77414c, 0xb38ab323, 0x684a119e, 0x770742cc, 0xd51c58da, 0x9d22e946, 0x0ffcb54d,
+    0xd45464fd, 0x8159d4a7, 0x84cefec7, 0x88bb8bb2, 0x44f5f703, 0xb6f52b1b, 0xe9207ab9, 0x9961fd17,
+    0x2a8161ea, 0x20ba97c2, 0x8008894a, 0xee76e51a, 0x92550ad9, 0xe0797527, 0x7bcd087b, 0xd5a39f19,
+    0xc4db9c88, 0xd82ce830, 0x086ee6a4, 0x2f70f6b2, 0x87da12fb, 0x152812c6, 0x1158eaf4, 0x28bba76b,
+    0x11213b1f, 0x82ddb208, 0x4b61845b, 0xbd444eea, 0xd09abe54, 0x8b5a28f9, 0x6ac10a5c, 0x98fc85be,
+    0x590a3526, 0x4aa9f0bf, 0xdde1f8fa, 0xea13c4ad, 0x548cfabc, 0x5f6386b0, 0x102e43c1, 0x6e3bfe75,
+    0x33fe5627, 0x4c252290, 0xa5a9749d, 0x8c178bc9, 0x1150dd37, 0xe32c5839, 0x9c5ba077, 0x512c8152,
+    0x9fbf7f65, 0x6c80187f, 0xd9001e41, 0xc7555cc5, 0x01e64e56, 0x17afee1e, 0xdb6b980a, 0x25f3e457,
+    0x40ea9bef, 0x6d67ddf8, 0x3e12f23d, 0x97481cdf, 0xa9d8582a, 0xeb6cdc94, 0xba1b4da5, 0xc512c7c8,
+    0x6f6452e6, 0x30b3c13d, 0x987393d8, 0x8718758a, 0xea0c6584, 0x59ffabb3, 0x3a762bd8, 0x0977fc80,
+    0x47bdf873, 0xa5d7abb6, 0x84747e25, 0x2473c115, 0x8d6e14a5, 0x48fd68e4, 0xb62af3ea, 0x47496348,
+    0xd81b00b6, 0xa3b68152, 0xb60bee74, 0xfd1da37d, 0x2d121991, 0x5fc7aaac, 0x5b013578, 0xda988599,
+    0x8d9d41c2, 0x5dfeadb6, 0x18696695, 0x7cfe8c8e, 0xe8e90581, 0x384209c9, 0x842ee454, 0x3989cc2e,
+    0x38b67202, 0x2920945d, 0x9b60474f, 0x77d777b0, 0x06e550e8, 0xa4c36f4f, 0xf62ab16b, 0xb5fd158f,
+    0xc0b1fb1e, 0x21403237, 0xa63ababe, 0x20136b6a, 0xbd87f6ed, 0xff0775d3, 0x8d347275, 0x3a3454e2,
+    0x31e27472, 0x7f854c2a, 0x65787493, 0xefff793c, 0x0039b3ca, 0xd868ce2b, 0xd5d1020d, 0xb30b21ff,
+    0x18f80530, 0x61835f67, 0x3b215e23, 0xe0930e81, 0xf4c2f124, 0x18f4f657, 0x682ba400, 0xdae5f135,
+    0x31afd109, 0xa2f11759, 0xae262f4c, 0xcd78d095, 0x85b0ce20, 0x03cee732, 0x114347d3, 0xd54888a5,
+    0x031e4acb, 0x0d93a233, 0x30ee53ae, 0x1f846a19, 0x7a9a4f80, 0x82224aeb, 0x272a011c, 0xfa390296,
+    0x544de38d, 0xa9d5ac98, 0xc9563207, 0xa824faaa, 0x3fddc1f9, 0xf89a9134, 0x20be174e, 0x7699f894,
+    0x3418bbcd, 0x56ee33b5, 0x07472230, 0xb5bb8c78, 0x9d10bc80, 0xc335089f, 0x94be946c, 0xe1be6d73,
+    0xec999673, 0x236e7676, 0x7e35f818, 0xe144001a, 0xa5ea7287, 0xe8d481b5, 0x64ae0421, 0xcb2b0862,
+    0x6a062c39, 0xc88f012c, 0x3d21aa56, 0x68e27f96, 0xb9a49138, 0x5de8b204, 0x0f9c3191, 0x861d2448,
+    0x4ab5d0c3, 0xadced533, 0x6cff0139, 0xbb599176, 0x53a36540, 0xfb32bb6d, 0x81d89d08, 0x6b599b54,
+    0xd56023de, 0x20a45c37, 0x711dc796, 0x59445c9d, 0xb1dafb73, 0x6bdbdd85, 0xcebb22e9, 0xdff4cd53,
+    0xa384ba13, 0xc391a253, 0x3a7eb6a4, 0x4c267999, 0x6492a7f5, 0x3019bdd9, 0x1d93e2d9, 0xfef54f74,
+    0xeeb6cafb, 0xdbf7b599, 0xd8e3d608, 0x795c742c, 0xcefa53c9, 0x737849fa, 0x786de409, 0x9ac489c3,
+    0x7daa2865, 0x02b39f59, 0xad0ab6ac, 0x7d7e4246, 0xbd7103c4, 0xba413a55, 0x36d5464c, 0x2436eb32,
+    0x13c6c8f2, 0x680fef91, 0xbd089092, 0x0fcc6909, 0xbece6c94, 0x5a8cddc9, 0x6e6e48f3, 0x4d85a150,
+    0xb8ce4711, 0x28a6b913, 0x60941e6b, 0xb2e27b44, 0xf4c7e90e, 0x1d0f2037, 0xc1de69d9, 0xd7941290,
+    0xe6d4829a, 0x31158f2e, 0xfdd23fef, 0x45829fd5, 0xea3875f5, 0x4ad94efd, 0xc0bee775, 0x299d5561,
+    0x0ea081c2, 0x0425ad3e, 0x6128f6c4, 0x90981a69, 0x0626943b, 0x015e4d8a, 0xdde34d17, 0x4733056a,
+    0x6a6dceb5, 0xd715679d, 0x4a4ce129, 0x2a87f33c, 0x2c7ef296, 0x2efa1650, 0x309cfa1d, 0xdc8ba9ad,
+    0xd0046ea9, 0x01a2d849, 0x69a17116, 0x3b9f34b4, 0x93b6796e, 0x06eb4f18, 0x57f5de4d, 0xf46c6bf6,
+    0x1123610d, 0xf2651b75, 0x720c5e04, 0x9299fcd2, 0x8fd94626, 0x45362d58, 0x529d7ed2, 0x1978252e,
+    0x3117a155, 0x886ef825, 0xbf459b87, 0xa850aea3, 0xe3e20c9d, 0xa266369e, 0x14f5688b, 0x2b25cc07,
+    0x4e84a078, 0x09991a75, 0xa875f693, 0xb2845b9e, 0x0f90be4a, 0x8df4ea61, 0x96781234, 0xd3532c92,
+    0x50804073, 0x4d6bb78d, 0xd62d9292, 0xe0b37156, 0x82a79a2c, 0x2d0bec4a, 0xd1eb0fd5, 0xe83774c6,
+    0x3e769e0f, 0x73957631, 0x9d49ff14, 0x9f524e35, 0xb0028a16, 0x5d4f4c38, 0x29cb6bd5, 0xe382c028,
+    0x98927d06, 0x874d874a, 0xceb61871, 0x2facea1c, 0x09e4c9c2, 0x99f9dfa6, 0xe20a2529, 0x93e5ecca,
+    0x3b2b5ef3, 0xd08715f4, 0x46558a37, 0x763baaf8, 0xc4c1e929, 0x410f876f, 0x29ad8597, 0x536a7126,
+    0x9a246991, 0x9454764f, 0x9c65ae18, 0x4ee748d9, 0x6792b270, 0x174c42d2, 0xb5f6de26, 0x840701b4,
+    0xea93ca4c, 0x940dbdca, 0xb93c5ca0, 0xfee2bbd6, 0x57acd462, 0x50c7a250, 0x0fa03f9b, 0xda9fce36,
+    0x8042968b, 0xed078f55, 0x0331b43d, 0x6ccd04b7, 0xd76b9a7c, 0x99f18fce, 0xded6c6b2, 0xaeb6e5ef,
+    0x0888d22d, 0x86c5de37, 0x3bc8979f, 0xc6495444, 0xe3991df5, 0xdb741f9c, 0x771ed5c6, 0x3038589d,
+    0xe12a6a5d, 0x4f32b48b, 0x98a25bf9, 0xfc49dba7, 0xa6ce87ac, 0x81a7bc50, 0x853fc1cc, 0x6e9e8355,
+    0xec171fee, 0xf7ac35ae, 0x20fdc6ed, 0x75fd724b, 0x05b5aae6, 0x818ff1cb, 0xdeb4a4ec, 0x53c0f58e,
+    0xc43d6a3f, 0xc4ba7b52, 0x21d5294f, 0x5751cfea, 0xa9c88536, 0xd6b3fcf0, 0xb39c9155, 0x612fc984,
+    0x13c26b81, 0x8ef30954, 0x31d933bd, 0x4fe44927, 0xac287130, 0x5896f463, 0x19c15ddd, 0xc8f8cfaa,
+    0xbec967aa, 0x7f7fb0db, 0x292ca241, 0xb95e4173, 0x3057de2b, 0x3fa44959, 0x92bd5944, 0x430f12fd,
+    0x4339f41c, 0x9383ae6e, 0x0c88bf2a, 0x8751f8ea, 0xdd6da5d0, 0xf35a98f4, 0xd3c890c1, 0x5b61e1fc,
+    0xf92d113d, 0x17927e9c, 0xa1ef90c4, 0x51738f21, 0x8f798f4b, 0x5f060d56, 0xc122727e, 0x68da3f26,
+    0x66415b6a, 0xbb45646c, 0x0a6f89f5, 0xa6f2e3b4, 0x03b9e937, 0xd67e6410, 0x5fe41d5c, 0xf17f8378,
+    0xb9b8e192, 0x306d3c56, 0xd06d722f, 0x0fa367b3, 0xf710fbff, 0x062473a6, 0xbdbabdaf, 0xe8e22bb5,
+    0x67f466f9, 0x7a0eeca1, 0xf254d68e, 0x40e9800d, 0xc0c02de6, 0xaab88c16, 0x7e6c942e, 0x847e530c,
+    0x8bc47a06, 0xaddd13f5, 0xdef56b2a, 0xd5746cd9, 0x323dcfa4, 0x9508ef48, 0x9da23d6b, 0x13fa5e5c,
+    0x5dfd6abc, 0x84581cb9, 0x5db54856, 0x04343543, 0x056d1d9e, 0x8ce4be0d, 0x4763d0e9, 0x621bebad,
+    0xb378efaa, 0xf3a1aa63, 0xeca3084e, 0xf0d389b5, 0x20ecb540, 0x9f11e89d, 0xf856c988, 0x478c9ef4,
+    0xa29acf32, 0xb3b9617d, 0xf3e74605, 0x55cb2fba, 0x853aa347, 0x1a74f21e, 0x331201a0, 0x15cc3abd,
+    0x8d83a741, 0x22a391c9, 0x429a2d02, 0xfa208ef6, 0x061a5256, 0xcd65316e, 0xba76a773, 0x4b3ceddb,
+    0xcc6f8bab, 0x899420ff, 0x74aa42ed, 0x3ff4895c, 0x1210a885, 0x9de66e7f, 0x8b80c4cb, 0x158a3df5,
+    0x6f89bd59, 0x621cbb0b, 0xb998348f, 0x8ac3425a, 0x48f30a9f, 0xa3e92df9, 0xbdcdfeac, 0x2381f83d,
+    0x4b1fea5e, 0x158d9b54, 0xdbefc9dd, 0x286668f1, 0x0880bd9c, 0x78c627dc, 0x7a1cf6cb, 0xb3fca667,
+    0xa180aec0, 0x07c6ac5f, 0x762cbe16, 0x57e0288a, 0x3befbb50, 0xd8bd7be9, 0x34ffcba7, 0xd572e203,
+    0x6c34a69a, 0xf35614c7, 0xd0d71ce1, 0x65c7b7bb, 0xf18f7f59, 0xb75d6fdc, 0x68d5f960, 0x11eee671,
+    0xea4fdeda, 0xe90ec307, 0x75e39876, 0xe9f9433b, 0xa7694ed8, 0xb7955066, 0xbb0cb54e, 0xeb4e187c,
+    0x34c91ed4, 0xc0d1bf36, 0x94e38d00, 0x1a7ca4d1, 0x80716aca, 0xfb65c710, 0x6b541423, 0x0fe70c51,
+    0x16d26a3a, 0x2ff58fc5, 0x667e096f, 0x55230a37, 0x53c347f9, 0xf9ab4a6e, 0x6bae9f80, 0x9e236031,
+    0x78ffc6ad, 0xab9bc8ec, 0x0b615e15, 0x150c76d6, 0x47504da1, 0x5c80439b, 0x10f352c2, 0x43549777,
+    0xaaeed63b, 0x3828c1ce, 0x4e59ca82, 0xa70245ee, 0x2c25c6b3, 0xe0c2c8e9, 0x8a00f823, 0x2c466150,
+    0xa1a12e5c, 0x919df5a9, 0x95fba3c2, 0xee3e61b0, 0x33b1e8d2, 0x2f632ddd, 0x4e57bf62, 0xb8127937,
+    0x54553a2c, 0xee70228c, 0xa1af37a4, 0x734f215c, 0x497193d7, 0xad993ea4, 0x2d73bb02, 0x977ab747,
+    0x77c396cc, 0x03d3da48, 0x0cb45c03, 0x957fe326, 0x81853d7c, 0x730f4a7b, 0x7830371e, 0xedcf489f,
+    0x86df15c1, 0x06bdb894, 0xe4aa7a87, 0x500c5c1f, 0x8c7a8216, 0x50a2f1f9, 0x843fc9ef, 0x10a8f4bd,
+    0x7c481348, 0x05fc9ed2, 0x6a879449, 0x277677a3, 0x5563c124, 0xa30ab4fd, 0x120491d3, 0xed2c8a41,
+    0x970a4a70, 0x5dcbb02d, 0x1b7c6d5d, 0xf59f5700, 0x0e1928d4, 0xd9544d32, 0xc5476730, 0xdca1dab4,
+    0xfe9ace13, 0x39f75d01, 0x28078993, 0x8e2e9c1c, 0x61e26c7f, 0x8147cb11, 0xc0ac63af, 0x2ea0ff1b,
+    0xc75424cf, 0x8e1ed6b2, 0x7d80e071, 0x5562ec30, 0x83fab181, 0x2d3e8e4e, 0xf8a4e813, 0xc342e31f,
+    0xbc8fd57a, 0x78124c69, 0xece7be3c, 0x1f09bff9, 0x2e616b15, 0xbfe2de57, 0x9bc1cbc1, 0xf47d44fc,
+    0x505533e9, 0xc2a9c770, 0x47e76f28, 0x88ad4392, 0xf70dc6a5, 0xd959212e, 0x8e6cb275, 0x34260d2d,
+    0x03a4d3d5, 0x6ab051c6, 0x138983f3, 0x311f2f90, 0x13f16bdd, 0xc85d52a7, 0xe0bb8c51, 0x2697b9b6,
+    0xb336ff54, 0x780ea7a8, 0xd8284aef, 0x52991a7c, 0x856aafd8, 0x966c009b, 0x5b4a7b3b, 0xad693289,
+    0x44be224a, 0x0dc15099, 0xa619f545, 0x34e12f53, 0x1c199417, 0x732b7373, 0x425cd7e3, 0x4cd6a608,
+    0xb71152ed, 0xc46c575a, 0xcff010d1, 0x81278336, 0xd98a45a2, 0xd3f01797, 0x766eefe4, 0x03b3161f,
+    0x4f9d182c, 0x3007d6e8, 0x79077113, 0x6f675572, 0x58e7adfb, 0x378cbe04, 0xdbd15b37, 0x1312bc5a,
+    0x5e35c4fc, 0x708f1dbf, 0xf4586982, 0x9471a82e, 0x84cdfd7b, 0xaca284c2, 0x00975119, 0xe01ff9d4,
+    0xbed7c8a9, 0x047713ee, 0xad288d7f, 0x5887340d, 0x77ebe324, 0x402c75f3, 0xbcb98a2d, 0x32cb41c4,
+    0x5b54c8cb, 0x37786646, 0xa8fdfd40, 0x23bd2b04, 0x18769cfa, 0x734dec09, 0x2a9a43c3, 0x7b7ca2c1,
+    0xb82fa055, 0x3657d93c, 0xb6261e1d, 0x1b50c250, 0x43c43ca6, 0x61fd9065, 0x8184d620, 0x1f3fdb7d,
+    0xa061af4c, 0x49ede63e, 0x8784a075, 0xac898549, 0xfa4199cf, 0xf6e56a4a, 0x7ac5baaf, 0xd51b5489,
+    0x2f111fe1, 0x6edfd31e, 0x190ea3ac, 0xa11eff50, 0x65c5c6bc, 0x4a1b50f0, 0x4cda6c0a, 0x168527ae,
+    0x3faf0545, 0x1a586611, 0x495a4e8f, 0x48f1e005, 0x54a2147a, 0xa3f2afee, 0x7438a5d6, 0x6e35b750,
+    0x37e60148, 0x972887fc, 0x487d7502, 0x1dfdea3a, 0x9bd6b11b, 0xadf976b7, 0xfda80508, 0x4011242b,
+    0xdffcb35e, 0x3a3e5ce4, 0x04731df6, 0xbbfff3a1, 0xedf90dab, 0xec7912b8, 0x6fb2f828, 0x48b79bb8,
+    0x65fac1c0, 0x46a54e6c, 0x1ca9dcdd, 0x2ffc79b4, 0x3d00cd94, 0xd969ef88, 0x0ba22514, 0x02ab119a,
+    0xa0084401, 0x3f7efc73, 0x7ffb3603, 0x9bac86c0, 0x18789901, 0x88793f1c, 0xc38597c5, 0x56ba84ad,
+    0xc32142b6, 0xc5ba4d70, 0xba62192c, 0x8f58bc9e, 0x00ed9952, 0x78eda833, 0xf09e81bb, 0x8665883a,
+    0xccb702e2, 0x813ed0e4, 0x3661415b, 0xc1f7f41c, 0xbb7e34d6, 0xed3a3a71, 0x48e3b14c, 0x2ab5f4c9,
+    0x16d29d45, 0x373aa762, 0x71733623, 0x465df56f, 0x277dd146, 0xc39aea26, 0x46c58702, 0xf31886b6,
+    0x447019ca, 0x736a0199, 0xfcc40875, 0xaaaec986, 0x8f5e8b15, 0x74ef9410, 0xf5d20b59, 0x3254ebad,
+    0xd5011749, 0x4e6fefbd, 0x7e223d76, 0x0cced961, 0x37d9cabb, 0xee019760, 0x76487df2, 0x4e40309a,
+    0x54f97545, 0x5cf5bda5, 0x6e9a6f3e, 0x591965ac, 0x05ae371e, 0x9c0c8107, 0x9c454965, 0x5f4832e7,
+    0x324d9ccd, 0x0f6d6f6b, 0xf93e0bb1, 0xcf6019be, 0xb929eb0d, 0x579d979d, 0x2aa0a523, 0x6c7048e7,
+    0x1b531ff4, 0x88729206, 0xdf32149d, 0x8a73beb2, 0x0cd51e1a, 0x433a6379, 0xca7d7bd4, 0x2ed4087e,
+    0xa273f579, 0xe1a5971b, 0x1ec62322, 0xeebe0482, 0xac87826e, 0x82e62312, 0xc9d0a8a7, 0x23de0726,
+    0xedaa75d0, 0x3dff049f, 0x71fe2f2e, 0x0ef4cfd0, 0x95b59b65, 0x8a189d70, 0x5d6009ab, 0xd8616b82,
+    0xae1c51fd, 0x423e58f5, 0xf83a0948, 0xeb3788c8, 0x0daa3a16, 0xb457488f, 0x1b8b3203, 0xafb31e2d,
+    0x571a1b31, 0x178514ca, 0x859a48f6, 0x488e3fee, 0xb0802449, 0x4e9df2b8, 0x014c6bee, 0xdbc1fb6f,
+    0x7079552f, 0x29976373, 0x28845512, 0x8fab8daf, 0x719a8ce4, 0xa59962c3, 0x7e3c3c6a, 0x54faaae7,
+    0x080aadd5, 0xe6b02cef, 0x9824e7c6, 0xbef5f116, 0x40676fc6, 0x6784a616, 0x36bf5bbb, 0xb404782c,
+    0xa3ee2358, 0x100d4ef2, 0x8d8b4d2c, 0x2ad6ff05, 0xe76a9f78, 0xe70df2e3, 0x45d9bbdb, 0x594c1021,
+    0xeb481b70, 0x7f7074f6, 0x8ca411ec, 0xad3c990f, 0xb56f8b3f, 0xdc944484, 0x81b0dc04, 0x9ddf18db,
+    0x9d01cee9, 0x6bbfa064, 0x1a5c4f7b, 0xda06d95f, 0x4a9dc52f, 0x850fea39, 0x20021cd5, 0x950199a4,
+    0x00000000,
+    0x2cd4f602, 0xa54cff16, 0xe480565c, 0xbd61435e, 0xeab63ad0, 0xf3a3e24b, 0xfde9dd51, 0x59d06650,
+    0xc8082e78, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x400d49a7,
+    0x00000000 }, /* 10**00008183476519740354675032974242068997880541605115107661973708228420240334491\
+                         01168638720817523081476039287721671031890017752304314136471348263332131897344 */
+  { 0x00000000,
+    0x6cd4b425, 0xc5d9b289, 0x13ec1c0e, 0xdf038361, 0x131e57ee, 0xf2804dc0, 0x54653654, 0xe0239dde,
+    0x94844a77, 0x409b05a6, 0x2145d8d1, 0x0c478054, 0x86096595, 0x4f1450a3, 0x0db382b4, 0xe008e3b2,
+    0x52efae0b, 0x07700e2a, 0xb4b39bff, 0x0d397760, 0xc0519e8c, 0x3fe4ad9d, 0xab89c24e, 0x3e8e19ab,
+    0x9b294f93, 0xdfa29d25, 0xcba26c25, 0x1a6e8c0d, 0x304f164e, 0x0b2c3294, 0xb5801472, 0xcc7a2446,
+    0x211cca4d, 0xfd6a477b, 0x3b84ae6b, 0x006e2a91, 0x4e2b26d1, 0x99eea045, 0xed72891c, 0x5fb8440d,
+    0xa36d53da, 0x1aea97f7, 0x6025181e, 0x89565742, 0x53c3694f, 0xc11f3a05, 0x2e66d290, 0x930246d9,
+    0x6233d565, 0xdf54f40d, 0x8b73ccd8, 0x09e554fc, 0x4c176174, 0x5354b9f7, 0x4382dc48, 0x0d11efbe,
+    0x7012ccf0, 0x40cf46ca, 0x55bdd551, 0x08c5bd39, 0xdf03b97f, 0x75b05251, 0x3f1cf93a, 0x5f534332,
+    0x8d3a0aa5, 0x863ffc73, 0x5ef9335b, 0x8e400fb0, 0x241f1a56, 0xe0a2ba3f, 0xd102e5f4, 0x5b38128d,
+    0x8a1ec0cd, 0x4819d30e, 0xd6944c7c, 0x45572fab, 0xcc909185, 0x77390888, 0x7d6adc7a, 0x76103c51,
+    0x7b5011b2, 0xaf408914, 0x828c1d83, 0xaf1c7192, 0x91fea29b, 0x0e683bff, 0xcb594f7d, 0xf396b443,
+    0x5a034e54, 0x4c00275d, 0x00f3f5b5, 0x06853a38, 0xa070415d, 0x2cf31961, 0x09db5446, 0xc7416d9f,
+    0x5b67f1d7, 0x961927c5, 0x2218cb1a, 0x618aafc5, 0x5dcce7b7, 0x6d9da6ea, 0x65525cd2, 0x6935b15b,
+    0x273b7b54, 0x391a8498, 0xdbfbfa6a, 0x9c3f9a79, 0xb7511437, 0x16afb4c8, 0x80ba8ca0, 0x672887f8,
+    0xa61af35d, 0x986998c4, 0x76deb928, 0xd5b0c4d3, 0x0d9f65e8, 0x8f1e2fcb, 0x1279f268, 0x5f68686c,
+    0xcac6b540, 0x4d12d83e, 0x1c069d09, 0xbd114bc2, 0xd7429425, 0x63135798, 0x86598280, 0xf9c91997,
+    0x20a822a5, 0xc89dcd23, 0xe3a05964, 0xf6c62090, 0xcbfc0a89, 0x6e840ad9, 0x7d5ede66, 0xc9ad9d8c,
+    0xda16e964, 0x766253cd, 0x7a8c9939, 0x6fc6e595, 0x473eeffd, 0xc870e0ee, 0x1e32bc47, 0x110d906f,
+    0x167c77d0, 0x2ef96588, 0x404c83a7, 0xe8aec5a7, 0x2d69f97d, 0x39f32991, 0xbca34e3e, 0x75f5c707,
+    0x6033f5db, 0x90fc7104, 0x7638dff2, 0x70cead1a, 0x3d3dc584, 0x2c5c2c7f, 0xbc938be5, 0xcadc4316,
+    0xb68bbdbb, 0x0e1453b3, 0x1c66fc19, 0x1ce492f4, 0x77414431, 0xfa075eae, 0xb92b0eb1, 0x88b7f45f,
+    0xeef11056, 0x0dec8252, 0xf7e87bf4, 0xef5ce760, 0xdffaf7c5, 0x72f7b067, 0x256bc702, 0x5be8a7de,
+    0x04650d8f, 0x5286d4c8, 0x6047eea0, 0xd2596d7f, 0x3afbc676, 0xeb6e9fbd, 0xe5ac0a95, 0x9d75129c,
+    0xaff4e565, 0xaaa450fe, 0x244b51a0, 0x65ae8685, 0xedc717a2, 0x32433773, 0x22278ac6, 0x15ddeb8f,
+    0x6d2fec27, 0x031df4ae, 0xa4bf8e45, 0xe3a076b7, 0xbf324614, 0xc60900eb, 0x24f31855, 0x5357a54c,
+    0x2652ea72, 0xfdd108fd, 0x0c681ff2, 0x413644d7, 0xca0e2303, 0x171daa17, 0x0b1dcd16, 0xd8c40963,
+    0x62127994, 0xf15863c2, 0x675f001f, 0x4732483e, 0x5fcb9eec, 0xea65e1a5, 0x8ff6133a, 0xb7dfac8c,
+    0x1183b06b, 0x9725d2d1, 0x12ec1b07, 0xb0cd2b7c, 0xd9ab0179, 0xd0e4bb4c, 0x7b3d1c99, 0xe3dcacbc,
+    0x637ba241, 0xc3c954ed, 0x9555224b, 0xa3588993, 0xc0aff0bb, 0xc9415976, 0x702111be, 0x03d0f1fc,
+    0x6a1f65af, 0xcf97fa75, 0x543357a7, 0x80a6e42a, 0x9c39c224, 0x3fff5214, 0x6c316d86, 0xaedf4a1f,
+    0x1a9b3e2a, 0xc56f7adb, 0x116addcd, 0x4f0630fc, 0x42b3eeaf, 0x6f0c3250, 0x37d386be, 0x40d2624d,
+    0x9ae8c4a3, 0x7f2d4db9, 0xe0fffc28, 0x27bc0851, 0x4f201fae, 0x3a912cfe, 0x7bb349e2, 0x880c7b58,
+    0x0e877646, 0x8147f13c, 0xc0fcd60e, 0x8932ab63, 0xf96d9902, 0x9171f109, 0x6e42ab4d, 0xad189a47,
+    0x66267f7a, 0xf02cfab6, 0xc22cec90, 0x9a6f826a, 0xd7340fe7, 0x4fe47af9, 0x61ec77e4, 0x82ce85db,
+    0x4c63d542, 0x098d7c3e, 0x028f1ddf, 0x7c74d9db, 0x31c90fac, 0x68235cfa, 0x7d2ce410, 0x9783ff52,
+    0xc8094da0, 0x7e6081b6, 0x4cd9223a, 0xedfe53f5, 0xaba90516, 0xc2422516, 0x73d9fff4, 0x695f8ff6,
+    0xa48e23b0, 0xa75f07c8, 0x3398c17c, 0xaa04ea95, 0x22e73aba, 0xadbe1c28, 0x86e4d24c, 0x41bbddac,
+    0xb08edeec, 0x20fd5055, 0xaf5ab84a, 0x75701bdd, 0x163f66cc, 0x5e877622, 0x0e986545, 0x293415e3,
+    0xafb102b5, 0x0bffb670, 0xb6e77386, 0x28f3023c, 0x1823c11d, 0x0e330774, 0xf1e13b29, 0x3c451703,
+    0xca40818b, 0xdba9eeff, 0x103b3ffe, 0x0d2d18e6, 0x0dca6845, 0x02368270, 0x26bb351e, 0x382a1895,
+    0xb690501b, 0x9d3ae96d, 0xc7cf1baf, 0xc1a6f200, 0x9ec21164, 0x39d02e55, 0xf46b0b41, 0x9054571b,
+    0x627448fb, 0x7120e784, 0xcb952218, 0x96b5e158, 0x90e370c9, 0x68dc7d6a, 0x7e03823b, 0x6959ad79,
+    0xe5ff4017, 0x7d9ae968, 0x8bd28426, 0x7c585240, 0xef51e01b, 0xc93d7647, 0x8cb8c4fc, 0xafe08256,
+    0x980eb8df, 0x3d0c477c, 0xdd772061, 0x27a38f43, 0x6d528752, 0x1036e83a, 0xe591d410, 0xda6b6479,
+    0xf1d3568e, 0x11dcd288, 0xcc2ec93a, 0x13c8970c, 0xd2528daf, 0x807947d6, 0x32ddef45, 0x0e8cfe62,
+    0x05a4183c, 0xb5d626da, 0xb45b47a5, 0x29a01a91, 0x8a25e29c, 0x0ccf06ad, 0xd73ebdea, 0xce872690,
+    0x255dd41e, 0x6d0fa5df, 0x48fbd3c6, 0xc3db6dff, 0xa62b73ca, 0x67c293b2, 0x8af90d98, 0x156cc7a3,
+    0x79fd5d10, 0x0fc0a594, 0xa85f68ca, 0x61340e98, 0xc522464d, 0xa0632c75, 0xa4e842fc, 0xa50e27d2,
+    0xd2849646, 0xf43548ea, 0x3ad2ff52, 0x944fe9d8, 0x904da3dd, 0x3d5fd76b, 0xef6fdb91, 0xc5d9a1cf,
+    0x994ec0a6, 0x3dcd8018, 0x812e3c5f, 0xaff5dc22, 0xe03f53d8, 0x8b0778f1, 0x79d7beec, 0x244919f6,
+    0xea0aa804, 0x162b44b7, 0xb46419fb, 0x189bdd54, 0xb44c4f57, 0xc741dc7e, 0x172bff0e, 0x512b261f,
+    0xcfe30695, 0x9f0625e5, 0x723803f7, 0x1dfd2271, 0xb2671a70, 0xd29b2a22, 0x689adc34, 0x22387253,
+    0x86871395, 0x8fdcb017, 0x4f7181a0, 0xa226c358, 0xf4dd0ac7, 0xc3640172, 0x07685216, 0xc9ac8ad2,
+    0x6aaf44e3, 0x371560db, 0xb7015839, 0x7bb7c0f8, 0xbf6326de, 0x84b407f6, 0x20306d9e, 0xe46efb96,
+    0x0b9825b4, 0x0c607c0e, 0xcd0d5db1, 0x9c144dc3, 0x80f9f3bf, 0x46d7d128, 0xde3eca2e, 0x4c056e48,
+    0x7b04c80d, 0x747de291, 0xe108f970, 0x94db282a, 0xd4fbb1d6, 0x3deb0759, 0xe275d6f8, 0xab9bc082,
+    0x43efc7f2, 0x3cc951ef, 0x05374647, 0x111a4af4, 0x95424ae1, 0xf4585edb, 0x88123900, 0xd9eb2e50,
+    0xf046b1cc, 0x357af289, 0xbabfcd42, 0x06e6a532, 0x97fa5f4b, 0x7221b1d5, 0xcaaacc1a, 0x587e3c6e,
+    0x6091bca1, 0xd32d438f, 0x1bf085a6, 0xa612c24f, 0xbad0a376, 0x4091a23f, 0xe7eed0ee, 0xf7f9f521,
+    0xffbb0dee, 0xbc02632a, 0x5cd45d05, 0xcaf7f3f0, 0x00732efd, 0x441474bf, 0x291d4242, 0xd044c3eb,
+    0x9e12b796, 0xa951e94d, 0x6145a1d2, 0xfb2699b0, 0x5c3b93f4, 0xf437a187, 0x2fcca966, 0xcc1ed2e3,
+    0x95fed26e, 0x33bdf28a, 0x327d9cef, 0xb18498aa, 0x20118c63, 0x9eb47185, 0x00700acd, 0x6580b174,
+    0xc9c768e0, 0x3ffed07c, 0x65f3ce4e, 0x56300174, 0xfe0e8a95, 0x7452f247, 0x04020b15, 0xa2441da6,
+    0xef3fd5f9, 0xa3bd55ea, 0xb6702633, 0x28516940, 0xec99f902, 0x61703ab8, 0xf9ea5d96, 0xf457f443,
+    0x5f61cd5d, 0xa20c533e, 0xd74fa20f, 0xa661a943, 0x136dfaea, 0xd9b6e352, 0x0d2d93ee, 0x842bb1d6,
+    0x43732f21, 0xfe4cc6d5, 0x27c04de2, 0x99576ac8, 0x02214109, 0xd85379ab, 0x7f3f11c0, 0x4e68cf7d,
+    0xd35f6398, 0x8af7fd8d, 0xddd60662, 0x0b4ce6fd, 0x3fee714a, 0xab026999, 0x3e3f5a97, 0x1d5abe15,
+    0x1342193f, 0xf386f476, 0xb7315791, 0x497b733a, 0x6eb958ee, 0xbdbec8a1, 0x88e5fff3, 0xff3422d5,
+    0x488a1650, 0x10f2721e, 0xb8cfa976, 0x44d1ab8c, 0x04d3bc63, 0xb8a5718e, 0xdeca32a7, 0xf1b4254d,
+    0xc208d289, 0x19a12741, 0x4c41f4a7, 0x24551b6c, 0x92c795e2, 0x3bf60bc6, 0xe0ced0e7, 0x35c7dfaa,
+    0xecd1e04b, 0x7d98fe52, 0x20c3ae36, 0xe70ab5d5, 0x6157a3c6, 0xe6fc5bf6, 0x5f033020, 0x54463680,
+    0x54accd17, 0xa0c5851d, 0x943ee852, 0x7d375745, 0x3337e1b9, 0xcfd1e629, 0xd1bf0e30, 0x5905d815,
+    0x3d527958, 0x26446665, 0xf234399e, 0x2215b18a, 0x995713e7, 0xd174db39, 0xf3f0c919, 0xb5002e56,
+    0x687a70c9, 0xa3e5c6f3, 0x456a3159, 0xd2e6c9c4, 0x4217593d, 0xb0c99f5a, 0x632ecdd1, 0xccf86b29,
+    0x0254ad61, 0xc97c2d53, 0x3b24584d, 0x129fee26, 0xd4eb6dd4, 0x2e939758, 0xee9a30d0, 0x7a28e4e9,
+    0xdca6acb1, 0x9ffbe2fb, 0x4a6567be, 0x02de7dfb, 0xc10fd0a0, 0x72d554f2, 0xc55f5dc8, 0x156f861d,
+    0x023a4f21, 0xdef96d27, 0x025447a3, 0xb1612bca, 0xb3846be3, 0xdda23ee3, 0xc5b27c3e, 0xe66699ac,
+    0x48da7705, 0xa81716f3, 0x339d5fc7, 0x120f1e2a, 0xc063500f, 0x78704765, 0x0c00ded7, 0x881f716d,
+    0x5fb96f9c, 0xccf8ff26, 0xe871e9f6, 0x896cfdce, 0xd360b957, 0x42a8cd4d, 0x5b2638ad, 0xeb9b378d,
+    0xbba15f15, 0x4028f4d9, 0x1838fa4c, 0x37912c57, 0xdd21d536, 0x318f0c4c, 0x39f55f98, 0xab92d245,
+    0x790c9de5, 0x42bf22cd, 0x361a169b, 0x884fdcb1, 0xa38f01f6, 0x4be6157a, 0xf63d6f80, 0xded04f00,
+    0xa109556c, 0x8806e6eb, 0xbc1984a5, 0x31b9859e, 0xcebe3f3d, 0x603d3e4b, 0x16a9c0e1, 0xbd94f644,
+    0x78f46b21, 0x3bbefda9, 0xee54d0d2, 0xfe8dd2f0, 0x95036e1e, 0xcd5d2a60, 0x46755c65, 0xb17c48f8,
+    0xac69ced5, 0xb86aa1c5, 0x3b7f4c23, 0x357707e9, 0xb904d4c1, 0xe6d97ad1, 0xea69743c, 0x91bb8b55,
+    0x6a6d71e6, 0xa2296385, 0x3d5f20cc, 0x344fb440, 0x4ed5b81d, 0x8f81a5a8, 0x51bf709f, 0xbbf1cb15,
+    0x7a0bd438, 0x5563a14a, 0xd8ea9cc6, 0xa92c1b8b, 0x8be65665, 0xf9dc04b5, 0xd01c0919, 0xb09a384c,
+    0x310c8eb2, 0xe9199340, 0xeae87df1, 0xe2b35554, 0xf192aa4a, 0x3e5de6e8, 0xf9eeee88, 0x19777524,
+    0xc308722a, 0xbc60bfd6, 0xeab5f6a0, 0x7ee42df0, 0x0b635132, 0xc9110e9c, 0xaf81fe65, 0x560de6c1,
+    0xb235aabb, 0x54d98214, 0x0366d51f, 0xba7f2b36, 0x4c158c9e, 0xcce2974c, 0xbb22a201, 0xa91deb83,
+    0x908d73ff, 0x0e3334d7, 0xd6ab22dc, 0x5930bdaf, 0xb7dc0cd2, 0x847eb4ce, 0x1ae44086, 0x0ee62f14,
+    0xe63befd5, 0x67b673c1, 0xa99859e6, 0x60ec4a4f, 0x88cb1420, 0xb0efd7b4, 0xff491f39, 0x40d1e97e,
+    0xfc269c18, 0x68e437ec, 0x8d21ac79, 0x7440378a, 0xd09dadee, 0x6d8e6027, 0xd37e68b3, 0x53112327,
+    0x433e2fe3, 0x5b2349b9, 0x7bf84025, 0x4d7e6faf, 0x4fc4b826, 0x5ea67e51, 0x66ba2003, 0x9be9d4d9,
+    0x5e01a9c2, 0x5e24be23, 0x3cbbcabf, 0xa8b7e368, 0xd3bb48c1, 0x31fcfdf9, 0x0cd62d41, 0x0536a64c,
+    0x9358ded2, 0x8940a09d, 0x8795abef, 0xd115048a, 0xefa34632, 0xbd16abe0, 0x0552097a, 0xbd759d04,
+    0x516ac690, 0xa8267fc0, 0x383a6116, 0xe3177957, 0x779a42d4, 0x9a76714e, 0x0359c776, 0xcfd69d86,
+    0xce7ba6fa, 0xb2b7578b, 0xcd50ce51, 0x97648a14, 0x11e989af, 0xdb62c1cb, 0x637774d4, 0xcfe01ccb,
+    0x27d56d0f, 0x0af37657, 0x92675a7b, 0x4416f367, 0x17c1c626, 0xef517e9c, 0x9c4e0582, 0x9ae428db,
+    0x44c5d09d, 0x6d5377ff, 0xbc26e69c, 0x698ccc9c, 0x7c51cad4, 0x28f4a8bc, 0x94641be9, 0xc1bb21e4,
+    0x981cd52f, 0xd2738c09, 0xbea40cb9, 0x7085b488, 0xaad05c8c, 0x1b9fd7f0, 0xdd346385, 0x02fca39c,
+    0x36f98b59, 0x26411b3b, 0xdfe8fd66, 0x10c37de4, 0xcb122bb4, 0x22ac0347, 0x1dbcb96f, 0x18f2fd87,
+    0x49006b74, 0x3714badc, 0x59733560, 0x7075a650, 0x72095613, 0x6bf45912, 0xac9b7e96, 0x446b4eaa,
+    0x30ab1bb4, 0x5a64a3ac, 0x84ace75b, 0x68f7dbe2, 0x3d7fb31f, 0x3fb516ff, 0x167cb568, 0x02775f24,
+    0xee870f47, 0xfe08e3ac, 0xa9f3bba2, 0xff8872d3, 0x683ebf0d, 0x58f0c93a, 0xd746fc13, 0x275db0b4,
+    0xb627d29e, 0x11d440dd, 0x8fc32a68, 0x4e4ef964, 0x370e4f7d, 0x2129ea80, 0x97039e3f, 0x81eb9ba2,
+    0x3fd7f8dc, 0x8e984bb2, 0x8d588d7f, 0x8d1b67b6, 0x659c6d82, 0xbf5696b2, 0xb8f1f3ce, 0x2469769e,
+    0xd8602bc7, 0xc2bc7d9e, 0xe133ffd1, 0x77ce3afe, 0x11ff0f3e, 0x0bdff1bf, 0xaf5a659a, 0x9c4a8e50,
+    0xae365c27, 0x9a7b74d2, 0xf3ddf7e6, 0x84bc73e8, 0xa0219f19, 0x857246f8, 0x7bb14fd6, 0x88e24688,
+    0xd3fcff2a, 0xb0cc54c0, 0x08535dd7, 0x83779ecf, 0xa6e98b30, 0x3fe2f60b, 0x7c104e72, 0x7fdbfcc6,
+    0x56f8073c, 0x0fe6fe9c, 0x4cc6d095, 0x6949832d, 0x5c7d5de8, 0xbbb3fd60, 0x567265be, 0x816d99df,
+    0x457bcadf, 0x5c5491e6, 0x6b568572, 0x9161dbcc, 0xf41ad3a1, 0xb15ec935, 0xb6de6e3a, 0xe70d282b,
+    0x81eb6ed5, 0xc1714a76, 0xe54605f2, 0x7fc21839, 0x664e2bc1, 0x89763a20, 0x38845c4f, 0xbde011c0,
+    0xb01c8cfa, 0x1f9ba86e, 0x75b62ab5, 0x1cb8d062, 0x64af7a1c, 0x2ce5ebbc, 0xed6eb4d1, 0x6cc58c3f,
+    0x6f48628b, 0xb74a4eae, 0x14259a5b, 0x6ed2018e, 0x97214525, 0x059c4bfc, 0xa5a2a864, 0xd71b828c,
+    0x7e6cae73, 0xcfbc065d, 0x29330eba, 0x858e5ef4, 0xcd6e340b, 0xa4c69759, 0x03b35d93, 0x25a6790a,
+    0x4b51c34f, 0xf09fea72, 0x2ef2c7e4, 0xbbbde4c0, 0x0c73042c, 0x2f7514b7, 0x342e2a40, 0xd566dfa4,
+    0x74bb54a6, 0x29bc5c3d, 0x6815f686, 0x17bfdb71, 0x619838f6, 0xa7a50258, 0xc09c3fb9, 0x55aaa470,
+    0x8ddc27a1, 0x9f6677d9, 0x4d59fdcb, 0xc8199c79, 0xb7881120, 0xcca9d7dc, 0x661b9b72, 0x4adede44,
+    0x4d94468e, 0x286cb9c6, 0x158a9938, 0xd36c7371, 0x9cd20845, 0xe6d24933, 0x996443b6, 0x942d65db,
+    0x4d9d30b4, 0x1eb980f7, 0x9c9506b9, 0x354cafdb, 0x07af2ff0, 0x99bd7f87, 0x22e60feb, 0xf2137815,
+    0xb4a38e61, 0x588cfdff, 0xa391ce87, 0x09c6083c, 0x2518069b, 0x34ae2462, 0x1433ff33, 0x155d755f,
+    0x9e2dad23, 0x929f0568, 0x28afc6cc, 0xd93740ce, 0xe419f302, 0xba6b11bd, 0xb3469298, 0x33c2373a,
+    0xd0ad3dae, 0x6ab459d5, 0xd318cb37, 0xaa084c4a, 0xe67ee28d, 0x3046f735, 0x848d3c30, 0x61f2418b,
+    0x41984c5a, 0xab7ffe61, 0x5d7e8be5, 0xc2b0d477, 0x9cc5d192, 0x08e39dd7, 0x5878f7a0, 0x546f5033,
+    0xc6a86762, 0x17460eab, 0x7c5a4dc8, 0xc17af5e7, 0xda75b138, 0x062f1f40, 0x67ab635a, 0xc7a44ab7,
+    0xe11153b6, 0xbd009533, 0xcc47da4f, 0xe6c06487, 0x084859ea, 0xb1465278, 0x3afd1cfc, 0xc34f19bb,
+    0x00000000,
+    0x166a7b00, 0x52a67f8b, 0x72402b2e, 0x5eb0a1af, 0xf55b1d68, 0xf9d1f125, 0x7ef4eea8, 0x2ce83328,
+    0x6404173c, 0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x4006a4d3,
+    0x00000000 }, /* 10**00004091738259870177337516487121034498940270802557553830986854114210120167245\
+                         50584319360408761540738019643860835515945008876152157068235674131666065948672 */
+  { 0x00000000,
+    0x4d511849, 0x3888fd48, 0x963959f1, 0x3c6c170a, 0x57d50f7c, 0x445d4cd3, 0x69ad4c58, 0x35cff833,
+    0x454cd28d, 0x279aade1, 0x7ba3e53f, 0xfce9a81a, 0x74cbb563, 0xcdf83514, 0x00e27914, 0xf303dc20,
+    0x216361be, 0xfe0140b1, 0x61c610f5, 0xdee5bfe9, 0x862c42f4, 0x4fc98cae, 0x42e1fd76, 0x0cbfff40,
+    0x215f8b36, 0xde61dead, 0x3551c005, 0xe940a0ae, 0xa8483a43, 0xf4511fb0, 0x6a075476, 0xd81dc917,
+    0xd5e7d161, 0x06560b63, 0x4cadcada, 0x47cf124d, 0xafb7a851, 0x42945820, 0xec942451, 0xf5452b96,
+    0xf873e80d, 0x701b2d37, 0x948797dc, 0x386c3621, 0xde5f3431, 0xfe2868ad, 0xc094d6ba, 0x8d6b5328,
+    0xc1366cf5, 0x4a60776c, 0x4caedd6a, 0x9d075d4a, 0x78761e32, 0xb05f7cca, 0x1c1afea1, 0x5f3a5e9b,
+    0xc23fb3b8, 0x972738d7, 0xc3e99750, 0xf50b1593, 0xdb7f9bc0, 0x05e68603, 0x19919512, 0xaa50f74a,
+    0x60197274, 0x1403ddcc, 0x8d1e92c3, 0x24e9eb23, 0xf046c9dc, 0xc4503e00, 0xb2665876, 0xbd2f25df,
+    0x5ea45c9a, 0x00789ed1, 0x7a77a180, 0xed6d44ec, 0xbfe401e6, 0x2c8cf351, 0x872ba452, 0x564a1d4e,
+    0x50e5a980, 0x279dce81, 0xf944adf2, 0xe8ec085a, 0xdc5af770, 0x6d4bdb8d, 0x191ac17c, 0xa69d3d19,
+    0x321a0646, 0x8ea8be0f, 0x66dc0d85, 0x35ae7c87, 0x139c1085, 0x1dd02727, 0x477a536e, 0x76a0012a,
+    0x06e7ade7, 0x6f875ae7, 0xb93d3f61, 0xa40c188d, 0xf239e19a, 0xbb93e405, 0x82cccfbd, 0x6855568e,
+    0x3f61ed99, 0xcc180def, 0x8118fdb9, 0x235cddc9, 0xa34906c0, 0x00979d3f, 0x08086e5b, 0xe25e5de1,
+    0x831e7351, 0x068840bb, 0xa8088aee, 0x40b5f8cc, 0x28ea4429, 0xf3a6b5e4, 0x6a2d06b1, 0xbaabb55c,
+    0x15e24da1, 0x1342e3ea, 0x6e6c1fb4, 0x1818dd89, 0x4b366513, 0x3d46123e, 0x7f3a27c0, 0xcade4835,
+    0x4932cb70, 0xa3169ff9, 0xc5aed719, 0xe47bd385, 0x537afd51, 0x71198aba, 0xc9f96e73, 0x5524a838,
+    0xe1078c21, 0x93a92041, 0x3e6aff25, 0x6e200fc4, 0xcddbcde3, 0xb941373a, 0x6ca06526, 0x7f31f752,
+    0x22c9f767, 0x095e9edd, 0x110a48b7, 0xb824c9b6, 0x5bdcdca4, 0x4ae74be9, 0x28e83374, 0xb35d79d5,
+    0x83031146, 0xc1056d1a, 0x52a2039e, 0xeedb327d, 0xf0a5116c, 0x359ed9bd, 0x299788f7, 0xeba946d5,
+    0xb78dff5b, 0xd8351770, 0x3acd580e, 0x1e9cb5f3, 0x3fac15f5, 0x06ff5758, 0x1cf689f5, 0x043c1e45,
+    0xe47796fb, 0x93cd7b9a, 0x21e35b8a, 0x15191bfc, 0x7c58126f, 0x37446ff6, 0xa4699a92, 0xc413b12c,
+    0x331cfe57, 0x5d0db7bc, 0xe654d9a7, 0x2fbe01a4, 0x2329e637, 0x15852c93, 0xf6e9aadb, 0xc5314098,
+    0x59abdf8e, 0xd0de5665, 0xaedc3fa0, 0x548cf415, 0xa65a8cb0, 0xaecbbeaf, 0x0060c85c, 0xab29f0b9,
+    0xbcfd4fa9, 0xf7b467d6, 0x4ecc0487, 0x0543675e, 0x4cdc8329, 0x71a16198, 0x1c200394, 0xf4d5807a,
+    0xb5cee783, 0x5aa8b11a, 0x89ac8c05, 0xa5233779, 0xc4a5127e, 0x446b507c, 0x079349e2, 0x7309f2ff,
+    0x34cf837d, 0xf0f78276, 0x0ec250ef, 0xf0dd2b28, 0xab8b8f54, 0x78e4b67b, 0xf38c443c, 0x839fee83,
+    0x2c489baf, 0xb553f189, 0x81ceab88, 0xc1dc956f, 0xc80dfb37, 0x2f8e27f2, 0x00f34ebc, 0x5840e2a3,
+    0xd8565a63, 0x9a57926e, 0xebc0add6, 0x817a76b6, 0x2374f555, 0x6884523b, 0x8c369f5d, 0x26321b0f,
+    0x0f88591f, 0x80ee4098, 0x4194b9a2, 0x938a2342, 0x094ac2fc, 0x2e44bb9f, 0x092081a7, 0x3046a0c3,
+    0x18c6c02a, 0xc1cd9169, 0xaab67992, 0x5333118f, 0xe67597d3, 0x1d3c3a62, 0x7d3b0220, 0x9ca41912,
+    0xa124e945, 0xaab2d6c3, 0x2a9fd264, 0x6a97e88b, 0xc57c69fc, 0x35636658, 0xd47ec2fc, 0xf9501fd9,
+    0x5cd61b62, 0xe8277e9e, 0x02edb731, 0xdf890061, 0x5c8c7de8, 0x8972a054, 0x018146e5, 0xa6a646b4,
+    0xe1234f3e, 0x2a1b14bb, 0xf265ffdb, 0xd02a1f39, 0x6ee9e8b7, 0x231a432a, 0x56cad906, 0xcc273cbd,
+    0x03723f6e, 0x88449d3e, 0x25f5106e, 0x7b7f0c1d, 0xa9b46337, 0x5bebc139, 0xa678d99e, 0x4de1a889,
+    0x853ccd88, 0xf0242608, 0x96b69cee, 0x07531a05, 0x6e7c1871, 0x0e49803f, 0x62cb5535, 0xcc45eeb9,
+    0x14f78c4c, 0x94c249d2, 0xb3403544, 0xf8cf1297, 0x380d57d8, 0x2224ce21, 0x4b9de9a6, 0xd0157fe8,
+    0x9db5d76b, 0x014575af, 0x4f5005aa, 0x66d6fa7c, 0xa3e20487, 0x39f515f2, 0x299fcfb5, 0x3586e125,
+    0x476f58e6, 0x924fa0df, 0xdc2f8b11, 0x20fcdb3c, 0xc6a9e952, 0xa1a785c0, 0xb24da0f6, 0x2ae0e40f,
+    0xbc160b9f, 0xb41e10ed, 0xe35f0d4d, 0x94e3b2a4, 0x1ade79b7, 0x9664d07a, 0x1c6c7583, 0xa6fd91a3,
+    0x5097d73f, 0xb5d2b0ab, 0x6faa50d5, 0x7c6d1353, 0xc818c614, 0xaa66844e, 0x5f9c5a0d, 0x9a42ddc0,
+    0x7bc47583, 0x5b1ad1fd, 0xa1679728, 0x6cfa502b, 0x734f7b51, 0xdf7202db, 0x433ed8ab, 0xb3a3fa5e,
+    0x48352e61, 0x682dbebf, 0xb837b03d, 0xfb1d83b5, 0x4178414f, 0xdfb692c6, 0x8a40e54e, 0xe7abf49e,
+    0x2cdd0eaa, 0xd9dd4f5f, 0x8836b2b8, 0xc7428e8e, 0x0223298a, 0xc50e4b0b, 0x1882cc81, 0x62fd0c83,
+    0x2ba57611, 0x9277d6bb, 0xf6934ed3, 0x13800fc7, 0x5b04a21c, 0x267db0c0, 0xef4b6807, 0x3454b5d8,
+    0x88f0d8c8, 0xfe5fc731, 0x875c34cb, 0x2d8e8bcd, 0x54bc7fd3, 0xe4e323ab, 0x88f29e82, 0x206f16f1,
+    0x308ed6fd, 0x7453cd35, 0xdcf533e4, 0x295a50c8, 0x938e0286, 0x0bac0fac, 0x07b7442d, 0x26426b53,
+    0x19f14310, 0x15bfe0e1, 0x54f559ed, 0xa960b40e, 0x207d66e2, 0x9c1a9615, 0x8dc7124e, 0xb2898f87,
+    0x307410f3, 0xc0bb5699, 0x6e9b537a, 0x0c0f5a37, 0xabdaab5b, 0xd8c6767e, 0xdc0e7300, 0x23aa6201,
+    0xeb71ba02, 0xc6a95e6d, 0x8d8b1546, 0x5aa298b4, 0x30d77a2d, 0x8a61d1f6, 0x76440c1d, 0x504ee3ac,
+    0x2e006253, 0x26a633f4, 0x27f3aacd, 0x9ce3eed3, 0x90fa9ce6, 0xe5b89938, 0xd3a352d0, 0x83889e79,
+    0x119876df, 0x488cd997, 0x97757adc, 0x77246f21, 0xca22606c, 0xa71662a2, 0xf3ad1903, 0xa2a04d0a,
+    0x3788a609, 0x74de1c5b, 0x26887635, 0x79bd6349, 0x15e58a60, 0x9757dcb3, 0xa613cfbc, 0x4eddc5ff,
+    0x056846ad, 0x8301117a, 0xe043c5f3, 0x6290811f, 0x97093d1c, 0x970e7595, 0xa4080c9f, 0x1aac9031,
+    0x7b995e84, 0xa5db2134, 0x87fba1cf, 0xe3170b01, 0xe7ac25a1, 0xc2fa9327, 0x1bbe41ec, 0x2d862cbf,
+    0xf9b72eef, 0xdaaddb07, 0x4049eaa5, 0x5b5a8114, 0xbe14ed21, 0x2ec9f772, 0xcebe21c2, 0x58df047c,
+    0xfe673d5d, 0x33ddbf80, 0x4a3f9e5c, 0x2ff1c7e9, 0x483baa99, 0xd0ce0ff5, 0xb5fdf527, 0x6070a7c3,
+    0x3822454d, 0x909829e3, 0xc6bbac34, 0x665128fa, 0x54296af2, 0x261e498d, 0x222d5362, 0x1c52a9d6,
+    0x97b65364, 0x00186256, 0xed07cc6a, 0xa3fe4436, 0x088a58cb, 0xf2729d45, 0xdf6ed078, 0xe1f373d7,
+    0x7bbc4796, 0xc5828b2e, 0x10c8d8a8, 0xd6f5ddd6, 0x8e6ef3c5, 0x7e3f0aa6, 0xd73a3606, 0xa7399a93,
+    0x5ebd96e0, 0x6cd0d7c6, 0x5a3da999, 0xadc095bc, 0xa1803124, 0x0aac30aa, 0xc7239824, 0xc5b73321,
+    0x6d5e36e3, 0x3384f6b4, 0xcb4b575e, 0xcda7ddb2, 0xa678ee98, 0xb0771f3d, 0x08015055, 0xc59194db,
+    0x6aa2bbcb, 0x79fecca3, 0x15bcc349, 0xbd9f4311, 0x38e96526, 0xc80c6fe5, 0x89e34a43, 0x1e57abc7,
+    0xb349e9f9, 0x5dc605dd, 0xafb3e514, 0x6900d7e0, 0x96f4dd3c, 0x1455c15f, 0x5c02534b, 0x992d55ca,
+    0xced67054, 0xa559db6d, 0x09c408e8, 0x898741fe, 0x983cee3c, 0x16ed1cd4, 0x84c597be, 0x7cc0cd04,
+    0xca222b35, 0xa15d0ac9, 0x204dd907, 0x43200080, 0x4f392dd0, 0xd0c24f8b, 0xd6042681, 0xab39ee91,
+    0x72af3728, 0x6cd8a1ef, 0x3c224667, 0x6fcc1684, 0x9eab01ec, 0xe30c5c3c, 0x2b3009b4, 0xabc18006,
+    0x8974384a, 0x8d6fe8da, 0xcaecd966, 0x2a007fb0, 0xc1fffc33, 0xc502866f, 0xb4db54d0, 0x971e898e,
+    0x5ac599ef, 0x4594161e, 0x47b75686, 0x8936fdab, 0xe10fdc10, 0x5f1b55cb, 0x736d84bb, 0xc1cf145b,
+    0x62a73e65, 0x3f5799c6, 0x4a45c9cc, 0x01eb054e, 0x4b43957e, 0x9980e5bc, 0x996b67de, 0x57f7cdb3,
+    0x503a4f3a, 0x719c4e5c, 0x77a22877, 0x25c97c6b, 0xd732b56e, 0x3f233357, 0x052f103b, 0x696fff00,
+    0xbfee49fe, 0x2fc6bbfe, 0x4d88c5e3, 0x5cc8295e, 0x07e144b2, 0xdf47b8e4, 0xc6e33c75, 0x27075bcf,
+    0x18e03675, 0x9b2d803e, 0x1105ca6b, 0x7a6698db, 0x645c94ca, 0xabf74db9, 0xe4ea15e6, 0xdfa19ab0,
+    0xf38885c6, 0xf459878f, 0x8db0fccf, 0xb9822368, 0x9be38fba, 0x872c745c, 0xb82a5546, 0x5ecaed25,
+    0xdedb1cc5, 0xf1b80ba2, 0x77d75bec, 0x929c2132, 0x75a1fa12, 0xdb8dc185, 0x68a91141, 0x200ad1d3,
+    0x5390d05a, 0xbb38693d, 0xbb5c5161, 0x31cfe07a, 0x531141d8, 0xf486823a, 0xbb58163b, 0xa48ecb9d,
+    0xd9a0e015, 0x71093836, 0xaf36d697, 0x0a9fe579, 0x22cae230, 0xc25f9353, 0xbdd9f661, 0xb6d99dc1,
+    0xe2694522, 0x3eacc4c0, 0x146bcbde, 0x5d2f6adf, 0x24c2b981, 0xf0a0208f, 0xd00f5096, 0xa27d00e2,
+    0xbe99c7d2, 0xbe82b928, 0x8a87b6d9, 0x5b294183, 0x9dbbee21, 0xd3e91be3, 0x510092c6, 0x3b77b5a4,
+    0x95b2e1e9, 0x9b7f0ab9, 0xfe30dd4f, 0x17aacf8d, 0xd0aa62a8, 0x190e1008, 0x1ac6d204, 0x44e37ada,
+    0x05ba8dad, 0x0b287a85, 0x72c4b374, 0x74e81007, 0x670b2fb2, 0x9f552ce3, 0xf7e81ddb, 0xc309172e,
+    0x052d5ae8, 0x83e0358b, 0x4b75433c, 0xead16fb8, 0xec5eb767, 0x2267dff0, 0xe15a5970, 0xa69eb7cc,
+    0xc00a46ed, 0xdf0e0300, 0xc2a3ab7d, 0x04ebbb08, 0xf2c6ad63, 0x688a254a, 0x8b9ac5d2, 0x2bacb1e4,
+    0x97190d8a, 0x29ce76a1, 0xc67ab78e, 0xc7f91af9, 0x007eaa1b, 0x26a93b12, 0x1d1df528, 0xdad6f18e,
+    0xce678a6c, 0x4888c1e6, 0xb0badb0c, 0x8a8a58ff, 0xe9674c0d, 0xc57d6e5b, 0xeafdb43f, 0x18a92fc5,
+    0x3d6567df, 0xf595de3e, 0x653a36fe, 0xf1c57539, 0x7702ca8f, 0xe095fa88, 0x6435f8c8, 0x300469ed,
+    0x5d869bab, 0x0f1b6ab0, 0x4bf77f6e, 0xa6fd8301, 0x865f664c, 0x8fd14cb4, 0x3571bab7, 0x673457d9,
+    0xd5759de6, 0x4fcfe21d, 0xad8a68f3, 0x03dcfe9d, 0x9b8dfcea, 0x36358a67, 0x475284fc, 0xdec8b852,
+    0x8560eb5e, 0x207032fd, 0xe13d7d40, 0x2ce353aa, 0x2d027b45, 0x98f14ef2, 0x2d134f29, 0x3a7a3524,
+    0x7d5b7429, 0xd3ed4baf, 0x5c356ece, 0xcf30b6cd, 0xf2e5feee, 0x2ea02c0f, 0x80db0889, 0x77222ea1,
+    0x68f4aacd, 0xb73ae296, 0xd58a5e6a, 0x5ca0fa23, 0x127326b8, 0xc95ff7e5, 0x6180d63f, 0x3c32fde3,
+    0xb56acdd5, 0x5b2c2977, 0x4dced2c5, 0x3bd263b9, 0x27cff546, 0xdf395dea, 0xd12728a7, 0x7a70295a,
+    0xb83071bb, 0x4e87d72c, 0xd97f5433, 0x51f972df, 0xd3d45db9, 0xb149afb8, 0x65b4942a, 0x35f248b4,
+    0x7d6d6927, 0x29529adb, 0x361259b0, 0x1f6c1145, 0x961eff87, 0x9fd95b55, 0x57543962, 0x09cb399a,
+    0x88a97b17, 0xeab5070f, 0xcbf1317a, 0x9c7ecc0b, 0x302687b1, 0xfd748a2a, 0x28155e5f, 0x17ff3018,
+    0x134b74ce, 0x0ef65585, 0x6817fe61, 0x867364f2, 0x4145b029, 0x272172ae, 0x39e86da4, 0x756f5474,
+    0x123ea9d0, 0xf791b199, 0x12c265c3, 0xff1740c7, 0x0f2050fb, 0x7bc9d220, 0xd8b239be, 0x12d1ca1e,
+    0x180275cf, 0x53701e62, 0xdae5721a, 0x295c44db, 0x133a2d12, 0x0e5abe23, 0x9a14872c, 0x6ed85a3d,
+    0x0a49706e, 0xc78fc241, 0xb415e662, 0x8eb4f794, 0xbfa82303, 0x8b4f371f, 0xd41200f9, 0xef3e15d6,
+    0xf0177f79, 0x9429a09d, 0xfca08eb5, 0xd149c999, 0x9333a9c9, 0xd3f847cd, 0xf565942c, 0x4326a5e9,
+    0x375666a7, 0x83143a4c, 0x26d7116b, 0x3d669c5f, 0xdc6eed7a, 0x83089118, 0xe12f5fa3, 0xf9790c98,
+    0xcc5bc4f5, 0x90349182, 0x7c7f072f, 0x6115c9e2, 0x76fc9f78, 0x4eaa9c1c, 0xce99f9ab, 0x4c458631,
+    0x9ec608fa, 0x077b57fe, 0x40cc1a27, 0xdce35474, 0xbe52248b, 0xddadbfcf, 0x1b8cdffb, 0x9b198f84,
+    0x2702eca2, 0x628c4152, 0xd810ffed, 0x1817c3f4, 0x5abba598, 0xed50194a, 0xa652161e, 0xa669e6e5,
+    0x136cf88d, 0xe1957d8a, 0x2b237c55, 0x1912317d, 0xbafa2858, 0xa6f8c126, 0xac5c00ee, 0x2d99f8d2,
+    0x9cd1ab2e, 0x504511f9, 0x1f0cb982, 0x81940ee5, 0xbec64337, 0x6184a7b3, 0x161584fc, 0xfe8e4e16,
+    0x3f8c0a25, 0x233b1569, 0x33afb75f, 0x8f4c56e0, 0x037e44ab, 0x34d6de09, 0xe5f89d67, 0x1caea94b,
+    0x05bacf15, 0xf269adac, 0x3142eab8, 0xa93cd1e8, 0xa1f24923, 0xb3d25c4b, 0x0ced2dbd, 0x06a107c8,
+    0x0b46da3e, 0x33796d4c, 0x56311693, 0x3eae5368, 0xdec795b8, 0x881502bf, 0x5f5dd5ce, 0x7f42fc17,
+    0x9ef26e80, 0x1b25e485, 0x9b6d5c4c, 0xffb82c4a, 0xb96fa09d, 0x7e653404, 0x7caf958f, 0x37a6a3e7,
+    0xa59ac587, 0xe278ec83, 0x8adb5c6e, 0xad5338ae, 0xfdfc92cc, 0xb182b947, 0x91805bea, 0xc315c21f,
+    0xad46b9f6, 0x2434a083, 0x1d8913a6, 0xaf2735b0, 0x87f27355, 0x9c182a68, 0x1b130189, 0x24d818b8,
+    0x36a17fb4, 0xed227df9, 0xdc001b8e, 0xe6933765, 0x114ef4ca, 0xc731fafe, 0x60fd5f5f, 0xe795cc5e,
+    0xc9e821aa, 0xd2d7953a, 0x1ff1c486, 0x9e7a8d53, 0x4b695d8a, 0xfb54a243, 0xd077c8d4, 0xd2ac4522,
+    0xd4419d18, 0x7afae45c, 0xd22303bb, 0x23707ac9, 0xe8b37841, 0xc8d21ae3, 0x89e6b259, 0xd726d3c1,
+    0xf0dbb0f0, 0x56232bac, 0x088a5854, 0xc00e140c, 0x976b1f16, 0x1b9142ab, 0x3e0dbfe6, 0x9d7c9fd1,
+    0x9d6667e9, 0x6aaf313b, 0x376682fe, 0x46811126, 0xe8eb0188, 0xf2faa7f4, 0x1379adf3, 0x5561d862,
+    0x146d3598, 0x8131278c, 0x7212b33d, 0x081a0118, 0x5e8db167, 0xfcb42643, 0x9a7557ad, 0xd576c531,
+    0xde80a03f, 0xcc213d31, 0x9dad7c87, 0x7f8e2db7, 0x28bf50de, 0x43d115e0, 0xfc072b7e, 0xce4963d7,
+    0x40c19465, 0x4bfcd913, 0xfd6a62ba, 0xa1b1ca1b, 0x1ad00b5f, 0xbec3f495, 0x514a8d5c, 0x0d882172,
+    0x15b47800, 0x5f1090f7, 0x93429e62, 0xebdfd2ca, 0xccc21b0d, 0xb913a5fc, 0xd7720ebc, 0x38dbdcfe,
+    0x4d2283e9, 0x2ac513c0, 0xabf5e662, 0x524f0f22, 0x464eb205, 0x919e5438, 0x08cac089, 0xa21d2467,
+    0x109d62be, 0x55b67ee2, 0x91e20f57, 0xb094dc31, 0xfb2177af, 0x3e73bebc, 0x81765941, 0xcc844b50,
+    0x605d6915, 0x571a5c8a, 0x9307ece0, 0x75b8139d, 0x50a37044, 0x16f90d5d, 0x077f159c, 0x572ac360,
+    0x6e1fc740, 0x10ccb6c4, 0x4421f58d, 0x38348b83, 0x0d03547a, 0x68860609, 0xee7379f1, 0xed827f4f,
+    0xd3915545, 0x1fa787ea, 0x9f21ec80, 0xf1074f4a, 0x267caa61, 0xe1e247c1, 0x85f1d70f, 0xdf9ad348,
+    0x00000000,
+    0x8b353d7f, 0x29533fc5, 0xb9201597, 0x2f5850d7, 0xfaad8eb4, 0x7ce8f892, 0x3f7a7754, 0x16741994,
+    0xb2020b9e, 0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x40035269,
+    0x00000000 }, /* 10**00002045869129935088668758243560517249470135401278776915493427057105060083622\
+                         75292159680204380770369009821930417757972504438076078534117837065833032974336 */
+  { 0x00000000,
+    0x5b581afb, 0x348b21c7, 0x25415121, 0xe87bf981, 0xab3c0260, 0x85437bb3, 0x1900e69f, 0x5e8177b8,
+    0x60ef4a4f, 0x98086893, 0xdc5c190f, 0xd602ded2, 0xcc3aee39, 0x75174807, 0x6e85a348, 0x944f21c1,
+    0xa32f9559, 0x7e9f3d77, 0xb58b6c41, 0x18edd0e4, 0xb879e417, 0x0e3743aa, 0x271bb11a, 0xa99a54ed,
+    0x41cd486a, 0x8a8d2335, 0x81c8954c, 0x44f1f6fa, 0x2d8f22a3, 0x4d49f6f9, 0x2c4c99ee, 0x8cb2b05e,
+    0xc0c59d9f, 0x41e54683, 0x053de421, 0xff686a9e, 0xa41409e1, 0xc8e2dc16, 0x7814a03b, 0xc60ec0d3,
+    0x5a0dfc5d, 0x666f25fe, 0xf3e2efad, 0x5d008671, 0x2672dc08, 0x80de43af, 0x0bf27239, 0x9b20c937,
+    0x78aee0ee, 0xe50aae67, 0x1ef8f4aa, 0xdb0a7af5, 0x33f7d2a1, 0x266d1922, 0xcfe5143c, 0x572e3679,
+    0xd63567d1, 0x5ccceb0b, 0x18b5b4b3, 0x3071d4e6, 0x1a9b8562, 0x044d1302, 0x3da2e3b5, 0xe19024c6,
+    0x0c46f3bb, 0x30d11b5b, 0x9bbea5d4, 0x989e630e, 0x4f167ce3, 0xff124ffd, 0xf4176b7a, 0x43ec4fe7,
+    0x0f1bc9c3, 0x5e38dc63, 0x9eff636d, 0x7f44e19f, 0x31241267, 0x49f5bb9d, 0xb3b15037, 0xbb7cba0a,
+    0xa9e8729c, 0xd8eb9090, 0x7494ed09, 0x24fc2088, 0x93b1de4b, 0x8fe0b2a3, 0x7b5a4c26, 0xa778f74e,
+    0xe1129754, 0xd3cc20c0, 0xdfb4a70c, 0xe575e7d3, 0xf08feb54, 0xf66a41f0, 0x08f4928c, 0x779a51b6,
+    0xfa59c881, 0xd98b357d, 0x56e4ef93, 0xf00875d7, 0x0ed18f7e, 0xb9535236, 0x5dd83bf6, 0x3e0dd848,
+    0x622c4fe7, 0xcd88c7f4, 0xa3f01037, 0x5e250262, 0x51edbb1a, 0x79e97d1a, 0x4f12ad79, 0xe3e0ba0b,
+    0xfa582270, 0x8657baae, 0xa0bfbbac, 0x8ebf9188, 0x542ea9d1, 0xae0fcfd1, 0xc856ada8, 0x55877604,
+    0x753d2d44, 0xa26e24f4, 0x5a569b61, 0xbb64a69d, 0x1bfae5ac, 0x22b6b188, 0x6c0ea8d3, 0x56d3c1b0,
+    0x5f1da6c3, 0x20d83b50, 0x643479f9, 0xc97d12e3, 0xd14415d6, 0x0c678a69, 0xe9f2a23d, 0x66ce0a2f,
+    0x0e28f22e, 0x07aa97c0, 0x4e0b1eb8, 0x1c32b81a, 0xbd632f71, 0xa346c312, 0x1cd5d399, 0x7edf703c,
+    0x9ff5dd2c, 0x68bcf1d2, 0xedb660eb, 0x072d4819, 0x7a1c8d71, 0xc9185ea9, 0xa313ece8, 0xcc520d9c,
+    0x25b6cd58, 0x5a17ab81, 0x5b55c5f4, 0xc77431eb, 0x4e8271e2, 0xc441acc3, 0x34f50cfc, 0xa4b59f97,
+    0x714de629, 0x75892d0f, 0x6f43a7df, 0x7335dd7d, 0xc102f357, 0xd8ef1bd1, 0x77b4c4de, 0xf3b67c23,
+    0x2877755f, 0xb1e7da7c, 0x0809fd5f, 0x236e7a9d, 0x2e0b2bd1, 0x13936cf5, 0xe576723c, 0xf6edb651,
+    0xe9a1531e, 0xd93171a2, 0x5e84a4cc, 0x1901b8a9, 0xabfda88d, 0x8d8531d4, 0x60fc4b55, 0x8fd249d4,
+    0x31663d64, 0x7945c8ef, 0x9d5b4ea3, 0x80400162, 0x862465a2, 0xa92c6f67, 0x38ed2ae4, 0x2fe6e02f,
+    0x5f29431d, 0xdd72a7be, 0x648f1210, 0x0ff3d004, 0xa0be03eb, 0xfa21f502, 0x35a43b64, 0x1900ef46,
+    0x746854ca, 0x786b3ff5, 0x51c9f882, 0xcc4041c2, 0x1904e531, 0x98541ea9, 0xb094dd75, 0xc13ce468,
+    0x2a0ed866, 0x85765d53, 0xc273893f, 0x81d52a75, 0x507f21db, 0xb51ad9e4, 0x539bc3ea, 0xbdcf30eb,
+    0x5c55564d, 0x622c0065, 0xa3045b33, 0x7d57a34c, 0x30ae5baa, 0xa3053d70, 0xec97c511, 0xb55da33b,
+    0x3a9fa218, 0x0426cec2, 0xd6341323, 0xb999763b, 0x0deff86f, 0xb9982308, 0x2f4563ce, 0xe31f344b,
+    0xe102556e, 0x6680f18f, 0x11c8fa06, 0x29189e5d, 0xaf5ce6d4, 0xccede4b2, 0xdc99138c, 0x15894c5f,
+    0x4b37afab, 0xdfdda4a3, 0xc8c4181b, 0x36db26bb, 0x12a44a2e, 0x7514f7a5, 0x21ca620d, 0x785c9c16,
+    0x2c250318, 0x5b46e830, 0x3d4c84c6, 0x39634db0, 0xbf43cc53, 0xac931122, 0x10da3a93, 0x0bfdfc41,
+    0x8d1736b0, 0xc1904a79, 0x43e14f8b, 0x3720098b, 0x6a578fd6, 0xbbc9f060, 0xdb33822c, 0x7b1d2ed5,
+    0xc37568b7, 0x3a466f45, 0x25ef9b64, 0x40220f10, 0x02c4cb3d, 0xbb06d7ee, 0xdef3bcb8, 0x8c731758,
+    0xc6ca536d, 0xceaa7ae7, 0xd98dd6c6, 0xb3d7b313, 0x91ccba19, 0x3e6853a2, 0x5e31a27e, 0x3ecdb848,
+    0x991929fe, 0x6d9a15ff, 0x58ac5778, 0x12931e38, 0x49502f40, 0x80376428, 0x9f785496, 0xa52cc817,
+    0x1a284afa, 0xba3dd219, 0x0bd60319, 0x9745218f, 0x40c44b3e, 0xde87c633, 0x5966ec8e, 0xe3eed683,
+    0xd0883006, 0x1257970e, 0x4405218e, 0x24d8ec6d, 0x2c8af27f, 0x7c12a4c2, 0x87cd1f5d, 0x286c18dc,
+    0xc2e37a5b, 0x3e6af914, 0x6251c28c, 0xe7cb09ef, 0xb34be572, 0xea908844, 0x8323c4d0, 0x2fb52606,
+    0x5d1b4970, 0xa4062ac1, 0x335f6f9d, 0x9aeff4db, 0x81bab343, 0xf42d3544, 0x125b52ca, 0xf8f9ac92,
+    0xc0df6420, 0x99fbc795, 0x57cecce0, 0x1a6ed25e, 0x6289902e, 0x16831890, 0x314de9c3, 0x57c160e3,
+    0xd0cb771e, 0x8e75c8d3, 0xff9e31c5, 0xba9b95e2, 0xab4b9d01, 0x1e50a977, 0x77ae2266, 0x2cbcee95,
+    0xd3d518d1, 0x54b6fc8b, 0x5b7126bc, 0xc30d1180, 0x9a0770eb, 0x44ff123b, 0xa3a974e4, 0x04af75dd,
+    0x90eb2b7f, 0xee056db8, 0xbeb00adb, 0x25685670, 0xd9ebbed8, 0x1c6637e1, 0x7f9b74c2, 0x8bbb903c,
+    0xe7b6e3a6, 0x0826680a, 0xe50eaedb, 0xe4d38feb, 0xa3433027, 0x34c780bb, 0x86ba620e, 0x41dd1b78,
+    0xe865465c, 0xa8ea16e6, 0x466b7b10, 0xba672610, 0xae549691, 0xb91014d6, 0x35c78b61, 0x7db0392a,
+    0x4cea7912, 0x277db12d, 0x4e663627, 0x5428eab9, 0x519e67e0, 0xa31b2069, 0x396c6db7, 0x3ce273f5,
+    0xa99e0077, 0xd14f4909, 0x51a80bec, 0xce5fb4bc, 0x16380d52, 0x0c740f19, 0x06eecf41, 0x4f95fd6e,
+    0x06067c4f, 0x9cc9fb04, 0xcec77a1d, 0xd9c371b4, 0xa8063f9a, 0xdf6db3a9, 0x9ac1bf06, 0x9b107203,
+    0xe78fc345, 0x61ec0372, 0xd7987707, 0x03d0d214, 0xb4d31fea, 0x1f0d4fc3, 0x62c82d63, 0x88d7e5b0,
+    0xf378dcb1, 0xd8753b6f, 0x523c5c9b, 0x11a4e022, 0x78205b5c, 0xdbf04d5b, 0x9c1551d9, 0x7dd32c41,
+    0x6ee635c8, 0x8da6c374, 0x3b495a25, 0x71fb6c90, 0x87845ee1, 0xf5216d97, 0x66fef2b9, 0x14ed91b5,
+    0x5c66a46e, 0xc22048e6, 0x94fe2ac7, 0x54c074ce, 0xa0397736, 0x84429104, 0x7c42ecb9, 0x8611306d,
+    0x4e366db1, 0x65973138, 0xcd961956, 0x94ca2854, 0xa5a93405, 0x400420df, 0xcab03e4d, 0x551feadb,
+    0x57b5a34f, 0xef404570, 0x6cd35d2f, 0x872b4ac1, 0xa9d59631, 0xda1b9e47, 0xbee8c09e, 0xc175da99,
+    0xbf8f7e0b, 0x5db5ae83, 0xbd298521, 0x06b12ef5, 0x3259df8f, 0x674f678c, 0x106e5848, 0x17b99819,
+    0xdaa9f98f, 0xe9e07b37, 0x66d6cf83, 0x4835d662, 0xae4beda8, 0x2fc8aaf2, 0x5c24ca32, 0xdd466795,
+    0x549e556c, 0x0e9e440a, 0xb4029504, 0x038cf16a, 0x25a3afb7, 0xbdfb59b1, 0x73de37f7, 0xb3a9bb4c,
+    0x2e24e237, 0x5b46532a, 0x06a0ea37, 0x73eb6b0a, 0x113a9f0a, 0x6778aed0, 0xf76d7c56, 0xa61e2a24,
+    0xb0dad3e1, 0xf2ef9b8e, 0x729e5068, 0xe5b1d818, 0xd99ffbc7, 0xe54fcfa5, 0x4a1d8771, 0x3d75954f,
+    0xcd7339b7, 0x29b205e4, 0xacc18791, 0xc2b7caaa, 0x9d7b2f6f, 0xab21bd78, 0x96e7bbca, 0x7f604bf6,
+    0x941fce54, 0x12095f09, 0xcf97ca89, 0xdee199c6, 0xd0e8bb73, 0x84fe04a7, 0x41c60d13, 0x09016459,
+    0x2aeec328, 0x81a9cfb3, 0xb84102c4, 0x26bd82e7, 0xac9a708c, 0x7a287fa2, 0xb8757846, 0xc1b307cb,
+    0x68f385b6, 0x935bb80f, 0xc33978a5, 0xb2a64ef9, 0x13434c4d, 0x10fa475c, 0x566c45d3, 0x4898cb2e,
+    0x1af89c99, 0xc8068d0f, 0x7e4337dc, 0xec890ee8, 0x42acb2f9, 0x4e165455, 0xd253a934, 0xc6020104,
+    0xa01b9f4b, 0x8897bfe8, 0xa9dbb42c, 0x1e3adedc, 0x43c19d13, 0x0f1f4eeb, 0x9f9c0143, 0xd733a158,
+    0xeeebc1cc, 0xa2210cca, 0xe871d2d3, 0x555621ea, 0x6f618c13, 0x0220ba2a, 0xb885061f, 0xa0009dcc,
+    0x653c552f, 0x768d0ee5, 0x37ed68a0, 0xbcb0f725, 0xf84d2592, 0xe27ddd57, 0xec8f8c60, 0x89887eaa,
+    0x5ee14a24, 0x4b671f17, 0xbbae9645, 0xb78a0c33, 0xcdd6cd85, 0xd4cddaea, 0x65616e4c, 0x202c2b1b,
+    0xf12e07f0, 0xbcf87c8f, 0xadbcf9f3, 0xca3e8774, 0x990c13a1, 0x88ab9c12, 0x2ec9d0ab, 0x2ff44f83,
+    0x2162611d, 0x6518d8c8, 0xa7073f60, 0xda6e3eda, 0x24afeeaa, 0x2828a0b1, 0xaaf24007, 0x60dd0d86,
+    0x40941ebf, 0x53c76fe2, 0x3191e31f, 0x3dc773ab, 0xdb6f6d86, 0xd9c34300, 0x54be4174, 0xb70be4b8,
+    0xb1684aba, 0x79996ed8, 0x1d8776eb, 0xd282b9dc, 0x991b8855, 0xb18c0787, 0xd1aad5de, 0x29481962,
+    0x3f40a66a, 0x8583e216, 0x96a66b91, 0xc2f21505, 0x9b7d1644, 0x0eea0210, 0x0f84030f, 0xd5b83ae1,
+    0x9605f842, 0x364fa208, 0xe595d1cd, 0xba038970, 0xfb5c8a12, 0xf7e2ab26, 0x996eb8fb, 0xda364f0f,
+    0xb551ca44, 0x700736fa, 0x6b48b7a1, 0x0ca3fc1f, 0xc2d9b56c, 0xd5fed19e, 0x308c941b, 0x9d734a0b,
+    0x2bb0dbc7, 0x9a9320f2, 0x009ae212, 0x479c320c, 0x6346548d, 0x7f60fb22, 0x26478a50, 0xb6bf5889,
+    0x21c8be42, 0x5065b45c, 0x18260f58, 0xf7230b09, 0x0da1e852, 0x8f84f380, 0xf764ed90, 0x70fab53f,
+    0x56c9e0bb, 0xd12ce8b2, 0x50c3b40c, 0xfd64d9fa, 0xd151024a, 0xbd464b30, 0x6ffbd768, 0xeb873923,
+    0xf5f6d295, 0x126a2f27, 0xd570e3f3, 0x67dd24d3, 0x8e387a72, 0x2aaefc9a, 0x50bc2674, 0x15fe3c2d,
+    0x07b42a15, 0xd888c048, 0x16636bf7, 0x31aa6947, 0x574aca41, 0xaa164350, 0x70b74dc0, 0x74602855,
+    0xf18d3df7, 0x1ed65ff2, 0x4f5eccd7, 0xfdc43464, 0x261d482e, 0x88a9f569, 0x5b8e65b2, 0x569a1f4e,
+    0x3206f700, 0x4f106f8b, 0xc0e05c94, 0x153a61c5, 0xe3f1d6ec, 0x9fca4071, 0x02ff2fc6, 0x93087638,
+    0x1fa34c33, 0x7d94a28c, 0x05ca9cbc, 0x552d4cdb, 0xdf798783, 0x0531c0f9, 0x242679bb, 0x08326ec5,
+    0xb8ab6dd9, 0xdb731ed2, 0x391574bc, 0x3c1939a1, 0xae715270, 0x0799aa54, 0xd2798852, 0xd9ea5435,
+    0xd4b94239, 0x07b7f0bd, 0x49badbea, 0x4d03aeb2, 0x87b1fd45, 0xede5c73e, 0x5b65f0fc, 0x603a92a2,
+    0x72d07e06, 0xa7e96696, 0xa2d4d192, 0x4c06c508, 0x191a25af, 0x04279936, 0xbe8bdd78, 0xa05a7bfd,
+    0x1fd7ab8f, 0x631cb654, 0xb4b48ab2, 0x8925ab82, 0xa9522477, 0x06a48358, 0x4c713e0b, 0xc23df4dd,
+    0xf202f00f, 0x9ac57fdc, 0xd2dc88f8, 0xea40f8d4, 0xc2ada55a, 0xf639d1d0, 0x6c1677b8, 0xf4cee98f,
+    0xe0a1286b, 0xbd1c1021, 0x216bd179, 0xc25f4401, 0xfab9df0f, 0x56a25493, 0x6a6f313d, 0x2ce422b2,
+    0x70fa001c, 0x10b40020, 0x560fd6ff, 0x56da548f, 0xac740c49, 0x90a9cb12, 0x83637a10, 0x9bacddf3,
+    0x3981fa57, 0xfc2e2969, 0xdfd22ca2, 0xfe6bcefb, 0x45e18793, 0x90efaf60, 0x7e81f470, 0xf26052c2,
+    0x368ae282, 0xeb888675, 0x5eb6cd43, 0x03980f11, 0x6463f2bf, 0x8287cfef, 0x017e4c60, 0x529e43a8,
+    0xa302f9e8, 0xdbccc8d4, 0x539d3164, 0xb8ed1ee0, 0xaeee672c, 0x2e16d13e, 0x869a0253, 0xdf029da2,
+    0xa1b89e00, 0x343717e4, 0xf58cf79f, 0xbceffb54, 0xfa5186e2, 0xd2e9306c, 0x0bfa42fe, 0x24187a7a,
+    0xf2805799, 0x2a142f3d, 0xa3f0d9f9, 0xcc15542b, 0x65503eb1, 0xea5a4c90, 0x032655f0, 0xf708b5e6,
+    0x70c44476, 0x644f242c, 0x85b77990, 0x6889334a, 0x90bf23ae, 0x09f03edd, 0x5da2b378, 0x0e283e99,
+    0x6202fb4b, 0x3d30da13, 0xb0c113f4, 0x2ca484e8, 0x0b0acdf8, 0xb8db260e, 0x664e1ab2, 0x04f7cbbb,
+    0x2b800bcf, 0xfd51d64e, 0xcb01dcce, 0xe65af1f5, 0xe6142ccc, 0x336f887c, 0x3838a226, 0x3ff96352,
+    0x26aaad0b, 0x68d074e1, 0xbf7bb0a8, 0x5bef88a9, 0xac58642b, 0xdb1d0221, 0x849d5689, 0x4593c80b,
+    0x11cf8dbd, 0xcb7a74ee, 0x23796c3d, 0xc7c124b0, 0x1bce5ea4, 0xa13d7bf3, 0x285618fb, 0x7d513c33,
+    0xa5d8141a, 0xe0a2537a, 0x6046fa55, 0x682e97e8, 0xf75ad6ae, 0xba05e4ec, 0xbb234356, 0x06ef38d3,
+    0x7a309d25, 0xfde2ff47, 0x27059236, 0x6d7d8b14, 0xdbdb1a3c, 0x2530f1ee, 0x2178a0a3, 0x6ff30034,
+    0x6d275018, 0xe1cde15c, 0xd894ad47, 0x9dc9a180, 0x5658d8fa, 0xf97e02bf, 0x7a55f837, 0xa81ca6ea,
+    0x58546f40, 0x81367a09, 0xfb8f1006, 0xd8c8f0cb, 0x3d7cf570, 0x4d48d1df, 0x60fa137b, 0x827397a6,
+    0x804d521f, 0x46605534, 0x4a6efc26, 0xfcc0fc42, 0xe0f31f7b, 0xd688f183, 0x6e42bc17, 0x0ef18116,
+    0x3335d2dd, 0xf2c0c4ea, 0x90e23762, 0x86b56809, 0xc008f9f0, 0x1d606d94, 0xff7399fa, 0x4b681ebb,
+    0x75b3f179, 0x9a45c5fa, 0x604274f7, 0x5f3eeb36, 0x07989747, 0x1a46a394, 0x296f6655, 0x50203e0f,
+    0x89ead8d6, 0x18843d6a, 0x9d3b939e, 0x09aa2a16, 0xa95e4753, 0xeb8717ef, 0xcf64a648, 0x7ac3ebe8,
+    0x8695f375, 0xb4e2d126, 0x6a318dcb, 0xda6310a1, 0x95e08b31, 0xa6b8cc5f, 0x6816086f, 0x0738b8d3,
+    0x01edb41c, 0x8b3824ff, 0x86b8eeff, 0x54a36d81, 0xee25791a, 0x5eca701b, 0x0aedc36a, 0x306328cd,
+    0xdbd52f64, 0xf4716b63, 0x15f613b2, 0x5c7114f7, 0x29c380b2, 0xd7606d7c, 0x44100d64, 0x0b7444f6,
+    0x5b277fd2, 0x130bfb11, 0x0bc7283a, 0xbc99d50f, 0xcbf22966, 0xcbac0d0c, 0xfb855478, 0x181a7a09,
+    0xd9c1a293, 0xff6e91df, 0x8e3cfd26, 0xd4ebcbb7, 0x1944a753, 0xbd66ce5a, 0x24a8c499, 0x2e91073d,
+    0x3edb44ed, 0xbeb60cd2, 0xcd00cd71, 0x5690cd4a, 0x8a9201d2, 0x1113b83d, 0x95f96fed, 0x26d02072,
+    0x44ec9746, 0xc366bf74, 0xe3fe2d43, 0x79f2f03c, 0xf048e45d, 0xf59b6480, 0x10f47048, 0x95e74211,
+    0x5e0915a3, 0xb5006b71, 0xca3102b8, 0xe5f2d4c8, 0x439dbe10, 0x18b3bf4f, 0x0baad828, 0xcbd594eb,
+    0x40ecdd34, 0x180e0705, 0x98c4f16d, 0x907c0d73, 0x135dafe1, 0x530b0852, 0x6f091207, 0x9e4fed4f,
+    0x3ad70667, 0xe9e9967c, 0x45a98aaf, 0xccb58139, 0xadf27cfb, 0xee82f3e3, 0xe3598047, 0xce1620b0,
+    0xbab53500, 0x022b06e3, 0xa0dafbaf, 0xa706f3a7, 0x6315bf63, 0x828687ba, 0x4751790c, 0x3b4fe2b6,
+    0xedf18c14, 0x7378f0fb, 0x6bc58c49, 0xefba0a40, 0x7d1dc620, 0xcd300852, 0x547edfd4, 0x1eb7611d,
+    0xb4dacf09, 0x4580dde9, 0x264b9b24, 0x0e6d587b, 0xc59f6793, 0x2d5bfe83, 0x480307d4, 0x9abacd36,
+    0xe8ec3b7b, 0x7acdf1b5, 0x51bc30b5, 0x6c56e0ea, 0x1f9dc456, 0xfab32e38, 0xfcc033c0, 0x74194f3b,
+    0x82d9753c, 0xe0b50612, 0x0d274ae2, 0x167bdbfc, 0x5a0bf64e, 0x1766c1d6, 0xa21aa48e, 0xda86d44f,
+    0xf828834c, 0x7ed8a1f8, 0x779a4158, 0x49dcec6a, 0xb849e858, 0x9545e671, 0xe25348b9, 0xbb680cc1,
+    0x7b691b88, 0x5695a975, 0xf60c766e, 0xff800d7e, 0xc2071be8, 0xf20ad577, 0x3581197f, 0xa92dbb6f,
+    0x00000000,
+    0xc59a9ebf, 0x94a99fe2, 0xdc900acb, 0x17ac286b, 0x7d56c75a, 0x3e747c49, 0x1fbd3baa, 0x0b3a0cca,
+    0x590105cf, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x4001a934,
+    0x00000000 }, /* 10**00001022934564967544334379121780258624735067700639388457746713528552530041811\
+                         37646079840102190385184504910965208878986252219038039267058918532916516487168 */
+  { 0x00000000,
+    0x87546c17, 0x475d7e71, 0x70f5c245, 0xe9a7063d, 0x074f392d, 0xd4d548c3, 0x37bfe560, 0x5d8107bb,
+    0x78fe7b22, 0x716581c7, 0x7a3fcb9d, 0x2bc6b372, 0x1f06beaf, 0x20e1b111, 0x0b3f2588, 0x6fd34194,
+    0x977f2a98, 0xea32dfaa, 0xa78c1839, 0xf1b3b77a, 0xc3a41e23, 0x41732e85, 0x69cdd594, 0xf2c4c5ec,
+    0x79df4282, 0x8a6cba52, 0x1bce006b, 0xf242c12b, 0x9ccd2cb8, 0x1e3658e9, 0x110a169c, 0x606745c1,
+    0x2fe104a5, 0x9eb93ce6, 0xbeb36171, 0x593e40c8, 0x20b9542a, 0xff3eb55e, 0xd6a4c44c, 0x3735faa6,
+    0xf75a8460, 0xb6628c75, 0x5c265021, 0x712ab18c, 0x63aeb302, 0x725242a2, 0x20cc9d6f, 0xa1d7693e,
+    0x7648c145, 0xab0f821d, 0x4bb35a28, 0x5fcd65eb, 0x298a4a90, 0xc19ad651, 0x67dd5cb9, 0x3f683080,
+    0x4ffcfea3, 0xbcd32f5c, 0xcc663ce4, 0xe268139b, 0x3de6c3d9, 0xa0a77807, 0x796f7c0e, 0x8b8c076a,
+    0x61fa3eac, 0xd2272ecb, 0x99bc4b2f, 0x43545dc0, 0x0436d5a3, 0xe04d76ee, 0xd98bf8f5, 0x91b8e890,
+    0x15b618e7, 0x32b46a1e, 0x03573fcb, 0x00815e75, 0x00d2afbf, 0xb46eb02f, 0x35860ae9, 0x1e80112d,
+    0x0b3c45fe, 0x6de09826, 0x0f5596bd, 0x4d50b92b, 0xa62966c9, 0xa6c16871, 0x57df8231, 0x7dc4432b,
+    0x30dcd6ac, 0x777a97d2, 0x53f4d61c, 0xf997f867, 0xb8975d53, 0x6dc32a9c, 0xfa1b02aa, 0xb79fff23,
+    0x6ac72ae5, 0x84e511bc, 0x40d1e532, 0x27341dad, 0x50aa2845, 0xff253f06, 0xd3a3c9d2, 0x8e23f45b,
+    0x3541694f, 0x617839be, 0xea61c855, 0x5c0015f1, 0xaa0e15dc, 0x57ab48c5, 0xba340b60, 0xf5e5211e,
+    0x7ec65916, 0x01d2f7aa, 0x746925e8, 0x34995696, 0x6f5ceb75, 0xb4fdb90f, 0x3513c727, 0x7687fbd9,
+    0xc061b498, 0x613f525d, 0xc26d4861, 0xa664767f, 0x581313d9, 0xd06f8784, 0x7df5430e, 0x85a7d861,
+    0xd87cddf5, 0x2ff15d29, 0xdbd80435, 0xdc359065, 0x0a9bd7b1, 0x6bb0c995, 0xa2d38c3e, 0x7554d61a,
+    0x59a5d169, 0x26ae2c5d, 0xba3c25a0, 0x2e455243, 0x1996630f, 0xfa8fb699, 0x85ca6535, 0xe4af154b,
+    0x69772951, 0x717d800b, 0x7f39c48c, 0x2798d264, 0x0c917e2d, 0x942e4cbf, 0x20f153d6, 0x59dc9e05,
+    0xe9d93d39, 0x42534572, 0x374d1e05, 0x4da042e6, 0x98080c96, 0xf2c8d246, 0x5382fb71, 0xf354c60f,
+    0xf4534652, 0x28563a69, 0x4a8a3e8d, 0x4bbff2e7, 0xd49ea1a7, 0xe365561b, 0x24e8ed47, 0x051fbcec,
+    0x5336e696, 0x3cf7182b, 0x108a220f, 0xeb0b50a0, 0x9b74c3cb, 0xe509fefa, 0x85c3ced0, 0x2a67eeec,
+    0xeb6be81e, 0xd28b9125, 0x5d19e8ac, 0xc14cd679, 0x430563b1, 0x4dc0374f, 0x04553ebd, 0xcd10e159,
+    0x2bfc0828, 0xd289f974, 0xabcc4dc6, 0x133fcab0, 0x4018600a, 0x3d084d1c, 0x2d09ce99, 0xecca32d1,
+    0xe44aee03, 0xb6c03abf, 0x1d3ad221, 0xe4a12512, 0xfb5a29a5, 0x31f1cf74, 0x2593a0f1, 0xac8835bd,
+    0xacacfffe, 0xffa0f2d3, 0x1a1aceac, 0x1ca24bdf, 0x88b65ff7, 0x5134efa5, 0x0124ea1a, 0x958b4f75,
+    0x45ba981e, 0x5da34d11, 0x56256df4, 0xad9d413b, 0xc03fa973, 0x2bb17cec, 0x2d055a30, 0xcc6d539f,
+    0xb8656674, 0x10f6205f, 0xed2a20ff, 0xf8a68933, 0x9b46df7a, 0x8c59ac44, 0x5b8e82fa, 0xa93a58c6,
+    0x8727e202, 0x6e6a6ea1, 0x25c6d2c5, 0x28f78e3a, 0x14cf689f, 0x35ed5a9d, 0xc6873436, 0xbeae9eff,
+    0xd52c81c3, 0x2dd9873b, 0x20af2a1d, 0x1bc22b33, 0x75538a12, 0x56598859, 0xa6fb8822, 0xdce5a6ab,
+    0xd5b7343f, 0x86b91c90, 0x90ef1f06, 0xf043a423, 0xad42edeb, 0x8c32d6ee, 0xfbcf6312, 0x54eff1aa,
+    0x68e34b19, 0xe56b3460, 0x8d14283e, 0xc0476f7b, 0x1869d0c1, 0xcb45457e, 0xe41ad3ba, 0x6a57c45e,
+    0xd9f2696c, 0x718a6623, 0xbd727518, 0xd91e3941, 0x8f61f357, 0xadb23aca, 0xf3a2fe55, 0x5d57ba84,
+    0x0e3af860, 0x9cb89e7b, 0x7b048cbd, 0x0eb8e575, 0xce5caf34, 0xa20ec41d, 0x6dd706c2, 0xb5465273,
+    0x560dc9f1, 0xdbc46d6b, 0xfbcb7e14, 0x553d93f5, 0x5114b83a, 0x0273e174, 0x917af27e, 0xc4444812,
+    0x9202be5f, 0x1f745692, 0x5941096e, 0x767e6e0c, 0xef05c8cf, 0x3dc6172e, 0x19d0dd8b, 0x5779b150,
+    0x5506fe39, 0x5ae25f0f, 0x3f789093, 0xac8170ec, 0xedd7da9c, 0xaebf41fb, 0xc2603d3a, 0xb7606ae9,
+    0x8a416cb6, 0x1f0cd719, 0xa07bd55a, 0xbd3148bd, 0xb35e8873, 0x34ee1eae, 0xe9d54ef3, 0x04ff36cd,
+    0x6dbe59ce, 0x66ade936, 0xfa467be3, 0x429cb9c9, 0x1a6d9627, 0x23fbeac4, 0x28fb126d, 0x18ce852b,
+    0xbf6e7129, 0xe1936daf, 0xf88ab5eb, 0xcb315fad, 0x207e7d82, 0xb395b891, 0xa56fe660, 0x7065de3f,
+    0x0412fffb, 0x0bfba521, 0xdba44778, 0x589cefc5, 0x70a286ad, 0xd51ed562, 0x883381a7, 0x6173f95a,
+    0x24700dcc, 0xb1ebc22c, 0xf34aa22f, 0xa3f48841, 0xc3e1c684, 0xae62f66d, 0xb336dd3c, 0xaaaa3e6d,
+    0x2f467f56, 0x6a8b694e, 0x6d7101cf, 0xeb5cff9b, 0x059010ea, 0x2f9d459b, 0xa49a796b, 0xc6fdc5ff,
+    0xc8de03d9, 0xd8310775, 0x8e329dc7, 0x6fd5d5df, 0x7c41cee2, 0xe6fbbf3b, 0x40909376, 0x6b36f73a,
+    0x9c159448, 0x147e4dee, 0xdaab1c5b, 0xc02ee605, 0x6fa70529, 0x85ab50f6, 0x8c506478, 0xe6876f0c,
+    0x43cc49f8, 0x2c5586d2, 0xed808be5, 0xe0bbd8c8, 0x473933f4, 0x1e3fa0d3, 0x69890109, 0x54ca8735,
+    0x23b35950, 0x362e457c, 0xf5fb2f14, 0xe68dc22a, 0x25c506bb, 0x2d42779e, 0xa4843ea7, 0x7a04344c,
+    0x748bd456, 0xaa625c50, 0x79648133, 0xf5f05f7c, 0x4c9bd12c, 0xdef1d799, 0x715fea8a, 0x65425797,
+    0x8eb199f9, 0xc626350f, 0x24a2575a, 0x4e6ca1bd, 0x82c22505, 0x4058a582, 0xc5d8b1d3, 0xf9bf0272,
+    0x618b1c98, 0xe9b9b591, 0xd1be0f1a, 0xe017ea2e, 0x7f2a3df1, 0x024d885b, 0x7a753881, 0x19e55aa5,
+    0x12d3eb82, 0xeb229227, 0xb50ce08f, 0xdf05b191, 0xe2d482e0, 0xa85cf51e, 0x832877f6, 0xa774ebe2,
+    0xf27c6dff, 0xc23b7138, 0xd6d312cc, 0xff40c117, 0x50fcfad4, 0x4d6981fc, 0x9c95068d, 0xa713c7f7,
+    0x0de27af1, 0xb17291af, 0xd375435e, 0x2f5a1ab2, 0xa2a76048, 0x306230f5, 0x0edf6ae5, 0x969815e3,
+    0x65610dcc, 0x8bfda53a, 0x6f7a288a, 0x2255077e, 0xfc3f280e, 0xed35a2c2, 0x17d3f959, 0xa06e29e2,
+    0x7458b1c1, 0x50c25746, 0x490feca0, 0xeb2611db, 0xc216a7d1, 0x09238f3d, 0x67e1af9d, 0xf96b6cb2,
+    0xc5a12c39, 0xda3d161a, 0xd2dac291, 0x380ab3a1, 0x8a4f0a3c, 0x89e784d9, 0xe3583f88, 0xc91f6c8c,
+    0x27aa1854, 0xdf02287e, 0xc399e7d8, 0xec7652d4, 0x1f7eef27, 0xfc4c2313, 0x04ee265c, 0x27a57baa,
+    0xce92a18e, 0x14cde582, 0x3d2740ee, 0x81e87d5f, 0x97def626, 0x02d4ed83, 0xb62833ac, 0x633af4ad,
+    0x6d47bcee, 0xca6a2b04, 0x42f25deb, 0xd3d7178a, 0x6bdd0a32, 0xd47a8ab5, 0x4ec7a953, 0x13211a54,
+    0xd5bc90d8, 0x9552f207, 0xe7f79c71, 0x4d64617c, 0x620ca0f8, 0xf1c78467, 0xd58e0823, 0x2aee7a7d,
+    0xbeaca950, 0x9ec5ffb9, 0xe1e03545, 0xc9b4824c, 0x64f2badd, 0xdc5fb8fd, 0x724050d6, 0xa8784723,
+    0xeacbdfee, 0xed4e3036, 0x967e158e, 0x85c30040, 0x34511a5f, 0x4e5ab1ca, 0xe02c1ae3, 0x2a7be416,
+    0x47573631, 0x79db364a, 0xca23a84c, 0x36f458b4, 0x01a5774f, 0xc3e502f8, 0x1daa0aba, 0x3ea753a9,
+    0x07357bcc, 0x7189a8ff, 0xa1fb5f71, 0x701c5bba, 0x1d8bb1f2, 0x392a5f16, 0xf9467ff0, 0xe79729e2,
+    0xdc28b248, 0x85c7cf95, 0xef253263, 0xfa1a33b7, 0xa850471d, 0xe05f845d, 0x67a72987, 0xa76b7fff,
+    0x6b38e828, 0xd0e22787, 0xce94b5e9, 0xb77effc6, 0xff9ca6ca, 0xb079bd57, 0x86859d4d, 0x98e7ddc5,
+    0x8d21574f, 0x6a07078d, 0xf2e36d60, 0xa530d7b0, 0x73b3c8c9, 0xec6cdb98, 0xc3ac186b, 0xee90e171,
+    0x4303d02a, 0x9604b90d, 0xcfb17950, 0xcaa11e77, 0xb3e15ad6, 0xaacc7177, 0x45475653, 0x02ddf869,
+    0x7dd0b549, 0x4417f58f, 0x7d8cf407, 0xe25a36cc, 0x3ddffa7e, 0x26d3c934, 0xd0acfc58, 0xecddfaab,
+    0x2cecfb96, 0xef51f698, 0xb409e02e, 0x4255541e, 0x36a460ec, 0xccad28aa, 0xa7c60ad8, 0x11f374a4,
+    0xa4570d82, 0xc5397ab6, 0xc01e365b, 0xfb01650f, 0x43c7b4ca, 0x3802865a, 0x12054177, 0x7a95cb93,
+    0x3f4b2c25, 0xaceec097, 0x11eee17c, 0xb5a012ac, 0x75d25753, 0x2552bf09, 0x8b355c7b, 0xe69f6559,
+    0x3653bdce, 0x335b93d3, 0x8c9a9068, 0xfa8d9e91, 0x141f87d5, 0xeb4ebf23, 0xf4a30278, 0x1c7c6d31,
+    0xb713ef4b, 0xebef7e0a, 0x232f5890, 0x3d4afbd2, 0x41e99f82, 0x8576f5e0, 0x390c781d, 0x78659325,
+    0x981bf66f, 0x7f0a0642, 0x751d75be, 0x7dca339b, 0x785d9ec9, 0xa9f35740, 0xb7a89227, 0x8ba3bd86,
+    0x83e6d542, 0x45cec37e, 0x6295372c, 0xe97bfa31, 0xc08d59bd, 0x8aa3c3ac, 0x7c87a6a6, 0x5ba24fdf,
+    0x889c1d10, 0xeec5de59, 0x5c1008b8, 0x52c23bcf, 0xe0f5e84a, 0xf30804ef, 0x765e0683, 0xa880ff50,
+    0x548a52e0, 0x2755f441, 0x2a8dc354, 0x1d05ac36, 0x0befadd2, 0xa7e0b4ca, 0x467d1672, 0x243a6874,
+    0x594efb18, 0x0db5f0fd, 0xc72d3029, 0xb4850713, 0x2534e106, 0x92f4fcb9, 0x185867cd, 0x7dd4fb0a,
+    0x8272d0c7, 0x685dae63, 0xa6dee091, 0x00fcfaa8, 0xe0ff7e84, 0xad35a6ac, 0xc759520c, 0xdc8b8521,
+    0x7362adc4, 0x38e33d28, 0x07067167, 0x7618170d, 0x6b926937, 0xb2db51a4, 0x7000ded6, 0xee6c9ab3,
+    0xc806a261, 0x8c88282f, 0x71ee996b, 0x39cbd11b, 0xbf0f4695, 0x7a5e07f6, 0xef01c27e, 0xbd8a3e4a,
+    0xfd9b3f11, 0xd7e8665e, 0xdfe7fb09, 0x25b70ae2, 0x302ff3d5, 0x8cc83f7a, 0xd78bf80e, 0xf67f369f,
+    0x7f38e98d, 0x059afa70, 0x84b10201, 0x2e328be4, 0xf1c78e1b, 0x27cb803b, 0x423ff372, 0x18b4e08c,
+    0x469d9482, 0x33e37749, 0x21bab800, 0x95c087a5, 0xbc518275, 0x365bd63d, 0xf721e615, 0x538c8f65,
+    0x62ef345c, 0xe029c7fb, 0x8267559b, 0xcd89ae42, 0xd2ea2505, 0xfe9cda72, 0x2bcf7da1, 0xe8d3ac13,
+    0x8f642126, 0xcd1f275b, 0x30f41c43, 0xc4991f90, 0xcd39a300, 0xf72e0e95, 0x9eb610e4, 0x2ffe3d96,
+    0x7e7a621f, 0x2f4ea34d, 0xfdb6267d, 0x6cda8e9e, 0x6d4ed337, 0xb76e743f, 0x9072f837, 0x870759dd,
+    0x17a06525, 0x4385a081, 0xf7561dab, 0x93badf63, 0xc47c9606, 0x7aaa16c2, 0x0fab5266, 0x93cf7e06,
+    0x55c8b934, 0x02f23d6e, 0xaeae7540, 0x5a366831, 0x456a21c8, 0x9fb83080, 0x975aa0dc, 0xc6af37ed,
+    0xe75274cf, 0xb9aa66f2, 0x7757e4b9, 0x8690182f, 0xcb51c477, 0x207703f6, 0x33e5af51, 0x0e598abc,
+    0x234b1667, 0xb5fe5295, 0xd52304a8, 0x623c0ad3, 0xaebde6f6, 0xb5ee8205, 0xb7581d00, 0xe86026b1,
+    0x20073e81, 0x4ff30a15, 0x0c3f0dde, 0x8d05f7c3, 0x246aecdb, 0x38b6f231, 0x03fc9ff7, 0x24ab43f3,
+    0xf28992ac, 0xbc8c3675, 0xf4eaec6f, 0x9ce9e963, 0x76b2fbaf, 0x082593cd, 0x88ffeacf, 0x9e74dd9b,
+    0x512e2de9, 0x9e13dcc8, 0x80a6e48a, 0xf275f846, 0x13bf8e72, 0xb45c0668, 0xed109b38, 0xb472f90c,
+    0x7c1a49dc, 0xbb88b76c, 0x92a636b5, 0x5f55fb17, 0xa59b4a92, 0xf745336a, 0x40e7aa39, 0xefba125b,
+    0x3e01dca6, 0x6d2f3c65, 0x790aa0b5, 0x20898b13, 0x7ae0a709, 0xbea65f3e, 0x58956504, 0xd5dd0b99,
+    0x9055d71a, 0xe971d777, 0xeae8b99c, 0x5cbef130, 0xbb881784, 0x04be93fe, 0xdc6a7bb2, 0x99218ec4,
+    0x7bdf50b3, 0xd2c797df, 0xd9d42e60, 0xed51a77f, 0x57be864b, 0x4d8c8955, 0x016f52a5, 0xc7b49532,
+    0x86161a90, 0x9f4037ec, 0x013421af, 0x6ee0cd75, 0xeaf95da4, 0xb299b0bd, 0x869e6e3a, 0xc8402e6f,
+    0xb54599c7, 0xa381c313, 0x33e8a344, 0x906d6e34, 0x69b9d297, 0x03f1e6ef, 0xac3673fd, 0xab626074,
+    0x2fb855e9, 0x495e6648, 0x0414a10f, 0x8e168868, 0xfe0fce7f, 0xe302e110, 0x143461c1, 0xe0c4f7ef,
+    0x1f0be8a3, 0x35e5743c, 0x6b8a19b5, 0xe4b49c13, 0x84092b16, 0xa74a180c, 0xc7c5cc10, 0xd11556d4,
+    0x1ca45911, 0x0b6c8e3a, 0xdb8aff55, 0x90318149, 0x982f1138, 0xc2ed0c39, 0x790abd31, 0x6d524f1e,
+    0xf55d57b1, 0x01629a32, 0x5038db2d, 0x78bd393b, 0x04af2b14, 0x896429e1, 0x9675bd56, 0x0dd2fa85,
+    0x4bb5b4de, 0x3f2d9002, 0x59e8e6cf, 0x2f736a8e, 0x9685aa45, 0x6511d446, 0xf19f3b46, 0xfd12dadd,
+    0x1641b66d, 0x3e47493b, 0x8414de1f, 0x36b47990, 0xaaccbd7b, 0x6552c43f, 0xeffe45a0, 0x13ec19ee,
+    0xb2d5da40, 0x76c2e1d0, 0x6b33979c, 0x3fcb6a2d, 0xe80d6fe1, 0xd967c18f, 0x3632ef70, 0xe3629e9d,
+    0xdad7b986, 0xd9f10776, 0x278b0dbd, 0xaea0c8d2, 0xa0230a6f, 0x00979348, 0xa4ba065e, 0x80b261dd,
+    0x341e1733, 0x7e959a44, 0xc372f258, 0x38967cea, 0x5754ca3e, 0xac40bae4, 0x676b3757, 0xc97ccfd9,
+    0x953af39f, 0xe92fdcd0, 0xb790010b, 0xeec7e852, 0x0586aa8c, 0xed432ab3, 0xde30da62, 0x4e759292,
+    0x048c6cb0, 0x14214317, 0x673af118, 0x28d1e161, 0x61d5e712, 0xe36b1286, 0xb3afa92b, 0x14180649,
+    0x95a47daa, 0xfa7a02da, 0x904ddc48, 0xef535114, 0x45097eaa, 0x86c18182, 0xee4c75d5, 0x5156ba40,
+    0x1c9d4dd9, 0x108490ec, 0x4fc89ea0, 0x019412c5, 0x3e7b7e64, 0xd6786dd8, 0x5f9be6aa, 0xecb0502e,
+    0xc4962442, 0x8c21ecd4, 0xe020631a, 0xff1f230f, 0x04c2d9e1, 0x0db49131, 0x41e76440, 0xd19f3d09,
+    0x6e25bc88, 0xc4da995f, 0x4c9fcca5, 0xe8ef743a, 0x3a04da4d, 0x160184bd, 0x855405fb, 0xb82671a8,
+    0x5868dab8, 0xa662a2ef, 0xb5a282d1, 0x39e7ce06, 0x50f45060, 0x2245b487, 0xa824bda4, 0x42f8298b,
+    0x8ac8266d, 0x227e8a65, 0xf5b9d078, 0x1d7c87de, 0xf02c72b3, 0x1845ea60, 0xfce6b32b, 0x36e99ff8,
+    0xe0fe8469, 0xc9705eeb, 0x9d3fb8f8, 0xe8763829, 0x3227c8f5, 0x92af1b2f, 0xbb035432, 0x3f205468,
+    0xdf5390ca, 0x9f720442, 0x5be68c14, 0xea370a0a, 0xbddf2c27, 0xfc1fe754, 0x601c2def, 0xfbd91925,
+    0x98e5c43f, 0x1aca11f0, 0x1c916e6c, 0x25938677, 0xb2de8b86, 0xef12cd2c, 0xc43d603c, 0x852b7614,
+    0xbdd8972c, 0x1fa0ab94, 0x8e1ad56d, 0xf140c806, 0xda1551e5, 0x363ef4b3, 0x39154966, 0x5d683c1b,
+    0x04b494b6, 0xea49be08, 0x893e523e, 0x664bfd37, 0x70024442, 0xaa4bce1c, 0x758bc100, 0xc6ea3976,
+    0xf7c26f13, 0x7c8ae951, 0x329351be, 0x8508f2a1, 0xdddd88a9, 0x471ed1cc, 0xd00d62f7, 0x2f81b6e0,
+    0x95a1bc41, 0x76b606ab, 0xb8b465ed, 0x292996fb, 0x542ce14d, 0xf9e8afff, 0x083e6d09, 0x4b0212b2,
+    0x96b12100, 0xc2dc7123, 0x6df3000d, 0x4821023c, 0x804b82cd, 0x4df2a72e, 0x2826dead, 0x9327eaa9,
+    0x00000000,
+    0x62cd4f5f, 0xca54cff1, 0xee480565, 0x0bd61435, 0xbeab63ad, 0x1f3a3e24, 0x0fde9dd5, 0x859d0665,
+    0xac8082e7, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x4000d49a,
+    0x00000000 }, /* 10**00000511467282483772167189560890129312367533850319694228873356764276265020905\
+                         68823039920051095192592252455482604439493126109519019633529459266458258243584 */
+  { 0x00000000,
+    0x45431f2d, 0xac7dade9, 0x1ad94e2a, 0xde6d2b4d, 0x589729bc, 0xb51eb8ed, 0x9e07e0f0, 0xfc3d14a6,
+    0x91d0ef0a, 0xf1672820, 0x58aee944, 0x149bb593, 0x0b52c3e8, 0x3307cbe9, 0xecb059aa, 0x1fad996a,
+    0x3a1797e8, 0x20c583bb, 0xb6e7150c, 0x4135c4a6, 0x306b1272, 0xe6037f6f, 0x8be6b587, 0xfc033b8c,
+    0x6dcba4d9, 0x812f747d, 0xd64742e1, 0x300c3800, 0x329ea626, 0x02fb6724, 0x4f837017, 0xe44695cd,
+    0x32d11c2d, 0x0ba01085, 0x77ddaa93, 0x14aa04c8, 0x5eac3a17, 0xfc23376e, 0xa8c359d3, 0x7d57418c,
+    0x3a044e68, 0x59034a05, 0xf4134e72, 0xef0fa7e8, 0xad560133, 0x3b03b190, 0x121001df, 0x42013a37,
+    0xad2c50c6, 0xe0dae1a0, 0xcf911fec, 0x14d7050a, 0x1b8efc6f, 0x6f42d38e, 0x8ed2d914, 0x3c4da8cf,
+    0x17d038e7, 0x3b0d7986, 0xa35f8045, 0xc4b0c369, 0x3b934fb2, 0x4edf336d, 0x01d03f4b, 0x4200abad,
+    0xb6ea423c, 0x30b21705, 0x597d2f1d, 0xe91497ce, 0xfbb7f161, 0x82898c4b, 0xc3dd0493, 0x9b145afa,
+    0x5c4e7b42, 0x63d15977, 0xd244a780, 0xf5d3b711, 0x2703b17f, 0x621eb399, 0xa47a5d47, 0xff5a05e1,
+    0xe2e52c64, 0xc632e7f8, 0x53484766, 0x5a5fba88, 0x2a400c72, 0xa2417c69, 0x048a53eb, 0x4789aceb,
+    0x6e112b1b, 0xaa3a7446, 0x7309b4c8, 0x4edaed8a, 0x06d20bdc, 0x070fcf85, 0x39ff0261, 0xb09e24ce,
+    0x307b4e15, 0x19aea65b, 0xa7392f90, 0xc305c657, 0xbe964699, 0xc4e9f281, 0xc728f0c9, 0xde521b37,
+    0xb8ee0ec7, 0x7f878d39, 0x2287ba01, 0x3f95269e, 0xa3f19677, 0x60d16c31, 0x4c766b84, 0xb7016142,
+    0xea6c55e4, 0xdef86a04, 0x6a80c4d5, 0xd751ef8e, 0x0f621aa0, 0x4ccc463b, 0x37a86d76, 0x47cd4444,
+    0xec3dceff, 0x6c78979f, 0x296c6178, 0xee2981c7, 0x24132ad0, 0x9ccfe800, 0x9609289c, 0x0035e458,
+    0xff808996, 0xdaf30999, 0xe6169616, 0x228a46a9, 0x17e86ac9, 0xcafc4ca0, 0x8ee54f69, 0x8236c637,
+    0x3ea72b95, 0x6660bc5c, 0x3e0ccacb, 0xc6e48820, 0xb55ded38, 0x77bef1a4, 0x93aafc00, 0xd427cce5,
+    0x2f9ee986, 0x5a7d68d7, 0x0a59f5d5, 0x95f8b498, 0xbbca8bc8, 0xca9f8756, 0xef149a4f, 0xae7d65d5,
+    0x9e3ca131, 0x35767113, 0x4706e755, 0x4f5fae28, 0xfe8eca8b, 0x7ec8bd99, 0xb0622f94, 0x431da3bc,
+    0x2ce2f987, 0xcb0c1847, 0x8647c0b8, 0x50963389, 0xe58f0d2a, 0x38368c7b, 0x88b12a24, 0x3c4a67b9,
+    0xfac288f5, 0xd96fb1a2, 0xadb4ee03, 0x5059fd44, 0xa638cb33, 0xa1220fa4, 0x5ef9d959, 0xb4a7a302,
+    0x4a541541, 0x7aa9a1a7, 0x848d4ce2, 0x684f4055, 0x3bec5749, 0x4923688e, 0x0de3fdfa, 0xf6cb8e3e,
+    0xeebe7ad5, 0x55e0e8ce, 0x781cadd2, 0xd2be8c46, 0x960199df, 0x5fdde84f, 0xd87bf765, 0x6f4d58e6,
+    0x56cd9b2c, 0xca0b4ef1, 0x39796f0f, 0x0a8ed8e2, 0x21ee2fa6, 0x5893da11, 0xc3f583c6, 0x26326b85,
+    0xa3aa90dc, 0x7dfcd3e0, 0x8f33c653, 0x598acd05, 0x3aa0ad4c, 0x1ddfe143, 0x8fa8f0f7, 0x10ba8aaa,
+    0xb063b75a, 0x3f95a445, 0x50c0c164, 0xf900d2ad, 0x24a83ae6, 0xb4adde28, 0x6213759e, 0x20f2532b,
+    0xb2da4e7b, 0x06c9e893, 0x6c398575, 0xcf85ddc8, 0x930aac5a, 0x6806cfc9, 0xe241bb4b, 0xda0ed94c,
+    0x910d3caf, 0x6d561735, 0x5cf6d70a, 0xbd1656b4, 0xdd67cd9c, 0x802f9c28, 0xc952d1ca, 0x61e76e89,
+    0x0ad3a623, 0xa1e31732, 0xa3c9e482, 0x2b436842, 0x657a03b8, 0xd4aa498a, 0x5913e306, 0x57a56d38,
+    0x383cbc39, 0xd19e2530, 0x7463cf4b, 0xac848fdd, 0x98e3e538, 0xa715ca3a, 0xd23ba1b5, 0x07ae7d4f,
+    0x4942b0ad, 0xaac3a5c7, 0x5accb83a, 0x4c4254cd, 0x2a129bd4, 0x9b368288, 0xd17948b9, 0x9745087e,
+    0x1934d44f, 0x887285b5, 0x820f60de, 0xeb777a80, 0x9ac259bf, 0x8512052c, 0x4f4cabdb, 0x73536aea,
+    0x92a73aff, 0x68cdff08, 0xd1656047, 0x05d000f6, 0x20403c31, 0xb3f47454, 0x43f9edda, 0xd71dab7b,
+    0x156e753b, 0xdb0f4e74, 0x4b4d0db0, 0xc75a3390, 0xe4ac37ab, 0x8b66eb0e, 0x048a34b8, 0x43983fbf,
+    0xcde2a530, 0x9c474976, 0xb74ccd81, 0xe7eb45de, 0x99f76726, 0x5194bdb8, 0x5e15cb05, 0x8ec3c914,
+    0x6705c0b4, 0x11695088, 0xecac6761, 0x66ac4b07, 0xdd9ed376, 0x039b3a8e, 0x8bd81f99, 0x5ce785ff,
+    0x1809cb5f, 0xce0176b2, 0x39dc2e42, 0xa46fd0b4, 0xa205b5e9, 0xcc45834a, 0x6966fbdf, 0x784d598e,
+    0x99acc1b9, 0xac37e830, 0xd47f58ab, 0x78a6ccaa, 0xf15075c6, 0x473b8665, 0xcd2793d4, 0x9287c636,
+    0x4a2a1a15, 0x33abd4b6, 0x6d5d84b4, 0x115130c9, 0x335a30f3, 0xb5365929, 0x4686bb90, 0x76fd164b,
+    0x3036d8a1, 0x6ae5f9d6, 0xb0b223b7, 0x9600d65e, 0xc6cf8647, 0x2861a542, 0x5b212f3e, 0xc1b8d68a,
+    0x9e9674cb, 0x217cfc2c, 0x20a25d0c, 0xab7982f4, 0x434896be, 0xcf694bde, 0x21cebf42, 0x82674d85,
+    0xb8a02a45, 0xbc665a61, 0xf4772b5e, 0x02d136cf, 0xb82a1cf2, 0xe07f6a31, 0x28c286c8, 0x83bbc1d1,
+    0x6e57f07b, 0x9bf67be5, 0x834068b3, 0xefd674f5, 0xcb9dae94, 0x9e078e1d, 0xb5f9351b, 0x1dc41ed1,
+    0x368fc9c8, 0x1cad1822, 0x14ea57c1, 0x7bc7fdeb, 0x96435cf0, 0xaa09d5f8, 0x73d848f5, 0x9eb851dd,
+    0x5a004773, 0xf6e6ea4f, 0x125e935d, 0xb6bd1152, 0x204928ff, 0xfe9844bc, 0xec48c1c6, 0xe1a8d48b,
+    0x5d844b59, 0x3a5f104f, 0x75e0debc, 0x4c6c2ba3, 0x2993b330, 0xc6cec062, 0x40033492, 0x84377b8f,
+    0x085a14ee, 0xdbefd89f, 0xe49f5a21, 0xa4937996, 0x9e701a72, 0x2d32c559, 0x86ffe791, 0xc40137e9,
+    0x4aee29f4, 0x52cd0cab, 0x38bc0684, 0x997d4d16, 0x59b6c941, 0x2960cdea, 0x72ce4491, 0x04cd76f5,
+    0x1b913e98, 0x7cfaab4d, 0x7de88b4d, 0x64302657, 0x73a0551b, 0x3e560dc6, 0xf2b9fbc6, 0x3183e0a8,
+    0x410ea3b3, 0xc58bd5ea, 0x6d7efd70, 0xa28dbff5, 0xc2387b45, 0xa7b7a4f3, 0xa41a9a70, 0xcf9128fa,
+    0xf304a006, 0xf7829873, 0x4ea2a6e9, 0xe147c6ac, 0xf750aa56, 0x16803a30, 0xd55e1d1a, 0xaf72ca45,
+    0x9caf069a, 0x49774008, 0x047a90ea, 0xefadc3dc, 0x26bcd761, 0x614da3a5, 0x2de645e3, 0xac62d60f,
+    0x9db1651c, 0xd470379b, 0xd469dbf9, 0x3edfbff5, 0xe793a97d, 0x01b69c73, 0x2452226b, 0x210d2b45,
+    0x78aac05b, 0xc3db5913, 0xaf2be82c, 0x5b609926, 0x78c29d69, 0x0574fe38, 0x825d0ed6, 0x6748f50a,
+    0xbe731427, 0xf5d1ae58, 0x8aadb809, 0x5c3a79fc, 0xda423b61, 0x835299cb, 0x4e0f4806, 0xaf7cffe5,
+    0x73db10a2, 0xdd9bb491, 0x26479daa, 0x634f0062, 0xa378b930, 0x207c92de, 0x04fbade7, 0xcdd33a2c,
+    0xf0d78cbe, 0xe4f1058e, 0xab7c92e5, 0xce7b39d2, 0x8f91d7c4, 0xc4154fb7, 0x365e564d, 0x75798034,
+    0x01f71329, 0xd7ae581c, 0x0c583b8c, 0x7a33b7a8, 0x50ab8574, 0x047c7c38, 0x87021242, 0x9ef924b0,
+    0x8d7a1fda, 0x717b19bf, 0x61e59c3e, 0x85b334a0, 0x3130bb24, 0x715bdeac, 0xc33cbc86, 0x2025c78c,
+    0x036cd98c, 0x1bba9af9, 0xa7337eac, 0xfbee6c9f, 0x2c765d2b, 0x5cd73546, 0xc75447c6, 0x913675ba,
+    0x7543a59f, 0x3271e9c0, 0xb0ecbd97, 0x02cff163, 0xb1bbd2d3, 0xd064157e, 0x198db3de, 0x44009282,
+    0xed3d1e5d, 0x29f3a284, 0x2d4d5d75, 0x4edd4bc5, 0x18d64989, 0xd70df027, 0x34691502, 0x82cff283,
+    0xffa34617, 0x5e77f146, 0x52d8eb4f, 0xc4c50d3e, 0x4bbe378f, 0xd0724211, 0xb40ddffb, 0x31865fe0,
+    0xa543de79, 0xe194454f, 0x802d65ad, 0x20cb2a2d, 0xb6386bcd, 0x4f7b9ce7, 0x2c35eaf7, 0x4cad8809,
+    0x4a4c3e13, 0x39a1cb6e, 0xc5fc9326, 0x0accdb9d, 0x4a42f640, 0xf13b6977, 0x4c7c0e5a, 0x0ae320fc,
+    0xeb4ad734, 0x0f42da93, 0x9a0a42c7, 0x5bae6862, 0xad21dc07, 0xf6f19e23, 0x0611f408, 0x36692d5c,
+    0x6eca8961, 0x0616bbe5, 0x55645109, 0x2dcb06f4, 0x65158db9, 0x7a7b2c53, 0x878d322b, 0x1b3d2e0f,
+    0x48bae3e4, 0xcd72ce9a, 0x33eb7858, 0xe2632b7a, 0xadbb8663, 0x8649484d, 0x4d1f5fa7, 0x7d9aa490,
+    0xd1c65391, 0x5fe4fdfe, 0xd97b95e0, 0x401e3ed5, 0x48f6426b, 0x4e25c113, 0x859576a3, 0xf523265e,
+    0x825d0848, 0x01f6f644, 0x7729ef9b, 0xb2677e8a, 0x69406577, 0xf59228d2, 0xc6965901, 0xbd240820,
+    0xa9140c81, 0xb486d8bc, 0x758da601, 0x781d0c05, 0x980bebfc, 0xd511ed99, 0x11bd7d69, 0x35455f24,
+    0x070538bb, 0x59a62ee6, 0xb6c0c4f5, 0x1b259715, 0x2af891a1, 0xb36988a5, 0x73af88d2, 0xb5e19ca7,
+    0x7db9b9db, 0x5009b157, 0x8352e97a, 0xe4daca87, 0xe2d14cc5, 0x381ab022, 0xbfc19cfc, 0x3b2970b1,
+    0x244fc6d3, 0x7599fb1e, 0x25b8ebd0, 0x48c4c199, 0x95ea0cc3, 0x01634b50, 0x4d326871, 0x3edcf3a6,
+    0x98448a98, 0x52738eec, 0xe0f317fe, 0xec61df55, 0x1a23b675, 0x6a514a98, 0x30ab2a7f, 0x4be49410,
+    0xa117e8b7, 0x06a243d4, 0xebca6419, 0xfb28d2d9, 0x372a0771, 0x24fbd46b, 0xdb2ac924, 0x873a1ba5,
+    0xa8a530b4, 0x1bf6ddd8, 0xa80df250, 0x521f6d09, 0x0042b008, 0x9dfbdf18, 0x063e4b8c, 0xd58dd23e,
+    0xc4e1a25c, 0xb61b0f95, 0x079bbceb, 0x503cfb0d, 0xfa551dfb, 0x58d7a088, 0x0c07cf6b, 0xa6552cdd,
+    0x56f5adef, 0xf374be2d, 0x1386d1aa, 0x715b0565, 0x4484ef68, 0x384eff0f, 0x66e9073c, 0x53c3930d,
+    0x01896c22, 0x724a3835, 0x4890a15e, 0x3584dcb6, 0xa2f0c927, 0x8874bb48, 0xddfc88e4, 0xf626cea9,
+    0x802e5296, 0xcd128d2a, 0xd04f69d7, 0x047e77c7, 0x8596a1c2, 0x78a7061d, 0xb567f457, 0x3f3ee2b0,
+    0x3fc47083, 0xe5192708, 0x95905b15, 0x80c9870d, 0x238c0d0b, 0x2c7f5f7f, 0x2612147a, 0x984986b3,
+    0x3364a695, 0xf657e923, 0x6bfaf34a, 0xf07620f5, 0xfa91f9a1, 0xe211ca39, 0xd5877baa, 0xdbd8c018,
+    0xf6380f77, 0xfb58b9cc, 0xec7a0a74, 0x22fbd146, 0x25213784, 0xc1d1618b, 0x7b658846, 0x8478e4f4,
+    0x95989302, 0xf4511d22, 0x0e38816c, 0x7f7d9625, 0x51307265, 0x21841c03, 0xeb2ef046, 0x6263a857,
+    0x9d5da756, 0xe0711648, 0x8d69fe96, 0x91d26952, 0x1da1138d, 0x2ecd31ff, 0xc6e2195a, 0x7a42469f,
+    0x7a01879c, 0x150b0f28, 0xc10aa01c, 0xaee219bb, 0xd7f0cd98, 0xe7bbec58, 0x68576ab6, 0xc1ff3cde,
+    0x9c5ee9af, 0x3ddf039e, 0xe362a392, 0x258e6b42, 0xf04d895c, 0x96b0938a, 0x003d229a, 0x22400621,
+    0xc12e0447, 0x1d03e3e7, 0xa7580d74, 0xc65ea385, 0x3a9b621b, 0x17e4929b, 0x111986ae, 0x9054de5e,
+    0xbfc2b453, 0xa6614e12, 0x82f48b08, 0x4e0e72e1, 0xc9c21a0b, 0x7e87b7eb, 0xea93430a, 0xb11261ae,
+    0x407b357e, 0x6a44c1a4, 0x6d203486, 0x39577d9c, 0xba64341b, 0x17db9cef, 0xb91dad74, 0xf3d0ca24,
+    0x5f638543, 0x8aa4c002, 0x6486c6a9, 0x9e7b0044, 0xf03f34b9, 0xc6c114a8, 0xce03997a, 0x5093693c,
+    0x8544cd82, 0x5eb461dd, 0x907ca061, 0xd0620fdd, 0xbe3384fc, 0x61f6dc30, 0x45db1cd6, 0xcf18a44f,
+    0x28176a2a, 0x39d1db58, 0xe045cacb, 0xb437e529, 0x686a885c, 0xd2b113c4, 0xa0f80f51, 0x6af1b071,
+    0xaef99c1f, 0xc74f52c7, 0x380581a3, 0x093dd24d, 0x43a30779, 0x5eda81f1, 0x10db7030, 0x7d9e5b7f,
+    0x06f1dbff, 0x11a2c2ad, 0x57946ae9, 0xfb9c6eaf, 0xa405ee22, 0xd8ed91a7, 0x6f312e4c, 0x61faad90,
+    0x4fbe0bdc, 0xe876207c, 0xb03a4608, 0xf0b31ea2, 0x190fd4c9, 0x344b93ac, 0x106dcf2b, 0x6cfd1b0e,
+    0x39f42769, 0x03106845, 0x128a9e20, 0xe1ce8eef, 0x1e158534, 0xb250fa52, 0x008de385, 0x013b59b4,
+    0x29979fd0, 0x1433bff8, 0xf2c1888b, 0x7652aed6, 0x4a682fd3, 0x0583f819, 0x14a79a16, 0xf36a4943,
+    0xd765c4c4, 0x3e5715a4, 0x76b644c8, 0x05043452, 0x2a133549, 0x5090ea69, 0x6b78b9ec, 0x987f4109,
+    0xb06fb19c, 0xa80397d2, 0xb881172b, 0xef246802, 0x438733d1, 0xe2878eac, 0x9ae3cb9f, 0x36bf14fc,
+    0xdf258035, 0x2c703e2e, 0x5cbe9301, 0x65de395f, 0x66264290, 0x8c06dee7, 0xe26a391c, 0x920e8f12,
+    0x7347cac8, 0x926d723a, 0x63f0df78, 0x5de5c46b, 0xd19a4f8c, 0xc70b3bf2, 0x35d10f7d, 0x378d1372,
+    0x667abcb0, 0xd492d22c, 0xab645db7, 0x34498a05, 0x71fb9eaa, 0x8453d0eb, 0xaec0ab6c, 0x4f7a0a8e,
+    0x7c9e3225, 0x91481377, 0x1a1edbc2, 0x013fc95e, 0xdb4bfaaa, 0x7d78627a, 0x795f3e96, 0x4f865641,
+    0xae606b2b, 0x99bc33c8, 0x34a4d5cb, 0xea841a6d, 0x0148c233, 0xf261be35, 0x38b25518, 0x7b45cd31,
+    0xb52d8438, 0x2def8147, 0x5692d9d8, 0xb7b31260, 0xbfeb9506, 0x6c934325, 0x840d7e65, 0x3d83a2bb,
+    0x46bacc8b, 0x668449e1, 0xaabe2ee1, 0xe2aa2b92, 0x03f7dda5, 0x205874fd, 0x777be43d, 0x3a9cda1d,
+    0x220eb17e, 0xcf6d43e4, 0x58e4e150, 0x4a97fd4a, 0x67e75525, 0xb28efa4a, 0x646989be, 0x2c081949,
+    0x28891f6a, 0xfbde078a, 0x2236aaa7, 0x7fd74a73, 0xb890d236, 0xa539b328, 0xa6d7c501, 0x338603b0,
+    0x8ddc2176, 0x2c52d739, 0xa8632dfe, 0x33747d61, 0x99719949, 0x3ecc84ce, 0x85050ab3, 0x539587a5,
+    0x6bacd277, 0x61f9e16f, 0x2c4b8580, 0xd37805ed, 0xc606a5ee, 0x14018bb6, 0xe332e71d, 0x44c39dc1,
+    0x7ec5b37b, 0x0e151db7, 0xd6814804, 0xa549963a, 0xaaee0ffd, 0xf810ac97, 0x21773a98, 0xfd3759c9,
+    0x4717f28e, 0x131f6638, 0x5f3bd99b, 0x07a87fa5, 0x71193aa1, 0x3ff177da, 0x5047f131, 0xe0e833ac,
+    0xee44641e, 0x2778d9df, 0xeb184042, 0xb3333b2f, 0x0619b4ac, 0xb5d79b84, 0xc99bc881, 0x4295c48e,
+    0x4ab99ab5, 0x28097b58, 0x2c7f212d, 0x4ac63a23, 0x14a5809f, 0x2599b7f1, 0xfad405c9, 0x26077ce2,
+    0xb49e836c, 0xfafcdeb2, 0x47869e9c, 0xed853e39, 0x026a1acf, 0xb00f9c33, 0x8bd186fe, 0x0713c2ee,
+    0x8dc9c708, 0xd6db4a27, 0x38925224, 0x70c58830, 0xfeee9668, 0x7d644c5b, 0x1dbc6d84, 0xb21dd786,
+    0x44396eef, 0x231a69a2, 0xf9b10280, 0xaabe00c0, 0x7cc98b6b, 0x884d1cec, 0xdca139e2, 0xd6ab0b78,
+    0xb30197fd, 0x15db057c, 0x74583780, 0xde10e42b, 0xcb6eb79b, 0xb40a82fe, 0x5bb80335, 0x59eae7f7,
+    0xe44cfbf8, 0x5b370324, 0x4f119aa9, 0xeae0d86d, 0x947936dc, 0x31173f43, 0x45a23d7e, 0x1baf76d3,
+    0xcc6a0a1e, 0xf5ab532a, 0x4ac8eb61, 0x04e8452b, 0x60a1c99c, 0xa57f9d0b, 0x42e5c8b6, 0xe551ab5f,
+    0xbd7931e1, 0xe9713114, 0xf879d108, 0x02fdbd9d, 0xbbe0e792, 0xfb1ba5a2, 0xe8f69327, 0x44f0a817,
+    0xb63557a7, 0x65d8d757, 0x5c4e63ef, 0x685f8ff0, 0x50afbfa5, 0x8cb2e384, 0x3b2c0524, 0x046edef3,
+    0x54bfa0d1, 0x2884102a, 0xf63d9b60, 0x84cfae2d, 0xbcc2e459, 0x7005beea, 0xd9d42837, 0x893e80ff,
+    0x00000000,
+    0xb166a7af, 0xe52a67f8, 0xf72402b2, 0x85eb0a1a, 0x5f55b1d6, 0x8f9d1f12, 0x87ef4eea, 0xc2ce8332,
+    0x56404173, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x40006a4d,
+    0x00000000 }, /* 10**00000255733641241886083594780445064656183766925159847114436678382138132510452\
+                         84411519960025547596296126227741302219746563054759509816764729633229129121792 */
+  { 0x00000000,
+    0x5696d451, 0x0cc8e9ab, 0xb4085c5f, 0x83175669, 0x2b3d5549, 0x4d56a410, 0xc801a98b, 0xf930390c,
+    0xc74a0e5b, 0x69f32e7f, 0x38e81f9d, 0x9d8ff889, 0xf90202e2, 0xa5275f9e, 0x710fdad6, 0x23b4cd9f,
+    0x7f5a6ef0, 0x595a5d12, 0x80e26f13, 0x4e1acf6e, 0x1cae5570, 0xbbefc211, 0x743796be, 0xbf2deba0,
+    0x0ed7fba9, 0x008f5414, 0xe5deb7bf, 0xb1fb393c, 0xbf77eb56, 0x97e5423a, 0x07929dea, 0xa5b07be4,
+    0xed9e3a0e, 0x0860b949, 0x893f571a, 0xd044924f, 0x0a3eefb5, 0x9b77d875, 0x910c0610, 0x60b9da42,
+    0x8b2dce62, 0x098dafb6, 0xa2a57f91, 0xf3bbd652, 0x2651d545, 0xf40ad1b2, 0xb7108fad, 0x6c62c55b,
+    0x9ec2a292, 0x6eef0f1f, 0x2ad89878, 0x5672f6ee, 0x452846dc, 0xe16f81c9, 0x35bc1ea9, 0x799dc143,
+    0x156741e3, 0x88b06364, 0x77260b4b, 0x886f54f0, 0xf07776dc, 0x81881243, 0x804b63a1, 0x2af24eec,
+    0xe7cad3d6, 0x2dc58225, 0xe88d9657, 0x6918ecf4, 0xc60a8ec3, 0x81a832ad, 0x6fdb35b6, 0x677389c7,
+    0xd989a171, 0x0b41978c, 0x5f801912, 0x5d4094f9, 0xeea3f3fe, 0x5d06a8c0, 0xb2b67694, 0x12a9fa72,
+    0xe512901d, 0x8cefc7b2, 0x374807a1, 0x5f2f24e2, 0x2d4f3109, 0x82e1ad13, 0xfad12d95, 0xb4063c4c,
+    0x4eaaf003, 0x70ca8f14, 0xcf69ee8f, 0x393b9d0d, 0x5115ca28, 0x92f48f5a, 0x075c631a, 0x0e5ec732,
+    0x6581e9d2, 0x3fbaac0f, 0xb093a16b, 0xc7cfddbe, 0xcfa738ca, 0xbed7b633, 0x58fc2d53, 0xbcf0834c,
+    0xdc288cda, 0x12baa535, 0xb410a324, 0xcac54e0f, 0x0de06b55, 0x04eab2ba, 0x3e8dd708, 0x9006713d,
+    0x3374d336, 0x1238d2bd, 0xdde4dec5, 0x2ebc4bde, 0xc84f4b2f, 0xff15dcdc, 0xbd82cac4, 0xc6c1b1b6,
+    0x723d045c, 0x63a2c0b9, 0xb6a11be9, 0x3ce7f769, 0x572dd88a, 0x4db54f8b, 0xacc91f1b, 0x70671d92,
+    0xa22c673f, 0x4cad99bc, 0xc3eea43f, 0x88bfe596, 0x81c22eee, 0x83c25edc, 0x57b9bd14, 0xdba263af,
+    0x3a2ea0c3, 0x83932035, 0x2ec6f18a, 0x039e7fb8, 0x99864988, 0x1baaaf65, 0x436793ba, 0x63a16564,
+    0x0e2b28b7, 0x6f6181f6, 0xd1120f93, 0x52a15f82, 0xf8434674, 0xeac49dcc, 0xd159c563, 0x3eb25676,
+    0x63445465, 0xf8f5561f, 0x384b141d, 0x304668d3, 0x4a2532a0, 0x43709f63, 0xc3c93204, 0xb6ab5d7c,
+    0x687bb6d8, 0x76b744e8, 0xe6401213, 0xc7eda983, 0xa2eb13ba, 0xa617f2eb, 0x8211b8d0, 0xc290f0a6,
+    0x4058b358, 0x51bff577, 0x468e12b8, 0x35977169, 0xcd47f218, 0x7dfb244d, 0xdf6a3d3c, 0x419a1419,
+    0x7f17dac3, 0x5770cf35, 0xb0613331, 0x91d46d24, 0xc3da484d, 0x4fc4b109, 0x5bb33e7f, 0x9d8f912b,
+    0x52f0255e, 0x6ee2e861, 0x39ebe86f, 0xee4340fa, 0x47b8923d, 0x8b8b305a, 0x23886d1e, 0x2801d144,
+    0x18ee52ce, 0x2b0b9b5a, 0x830838b6, 0x9b7a2aa2, 0xd7d14a70, 0x081d47a4, 0x6e8fe251, 0x2d219332,
+    0x079e1579, 0x240e2f66, 0xb95c11b4, 0xb425cf8c, 0x24cf479f, 0xe0e92bac, 0xe9bf9406, 0xe6bc52d7,
+    0x8af56df7, 0xa9dab26d, 0xb320bca6, 0xcb306644, 0x680c496f, 0xeb374b7b, 0xea4c7f40, 0xb6acf007,
+    0x4b5aebef, 0x9acff3a0, 0x05e58a0a, 0x5584ba9c, 0x86a75ee6, 0x72c8ec60, 0x1503db73, 0x4d2a760f,
+    0xaacc814c, 0x42a9cdbf, 0x214f3321, 0xbe943060, 0xd01ebeb7, 0x4c058723, 0x26a3c7a3, 0x6667072b,
+    0x0b080734, 0xbdabcc92, 0x0e6d5ae6, 0x00627a51, 0x94a418a4, 0x441a78d7, 0x70d3837b, 0x17481969,
+    0x0b9e104f, 0xeb51220b, 0x1b4cfe57, 0x015c2656, 0xf9b2356d, 0xb5c0af21, 0xfd956adb, 0xc0fe8713,
+    0xcf8b7f1a, 0x9dc52540, 0xc596ffd7, 0x448cde3d, 0xc0332824, 0x51cdcb83, 0xc06962c3, 0xdfe6ed2d,
+    0x18f19374, 0xcc7192da, 0x7de42aa3, 0x227e2dfa, 0x8e0fccfc, 0x5baf4737, 0xef2fbc26, 0x8b3a82aa,
+    0xfc23042a, 0x39e90a0c, 0x96a0352f, 0xb1b6d321, 0x82a1387f, 0x46449e0e, 0xdd738084, 0x046978ee,
+    0x5ad9c255, 0x0095f085, 0xff39d3b1, 0xcb96454d, 0x41aaa503, 0x3b0d25a7, 0x00e02321, 0xfb52574d,
+    0x190c3fcb, 0x6bd41540, 0xc143f43b, 0xc62a5622, 0xf0b581ea, 0x87b31331, 0x76b74154, 0xe1069275,
+    0x92273a2a, 0x4515d73e, 0xb81013f3, 0x35387dd4, 0x7dc9425b, 0x2906d62d, 0xb42ac337, 0xc9f3cf6a,
+    0xcc11f402, 0x9bdc202e, 0x90d4a9e3, 0x33a02aab, 0xf06768f4, 0x0092e91b, 0xdacc6289, 0x5374f806,
+    0x4bc9a6fd, 0x81583014, 0x7f6791ca, 0xaf4c5d90, 0xc3a95b35, 0x05942423, 0xa9cdb9ad, 0x9ffe5d06,
+    0x3eda8f9c, 0xc6991c55, 0x69e2a90f, 0xa9f2c6d3, 0x86d9353e, 0xf3ff4e5f, 0x59ddf667, 0x43d58ca8,
+    0x1f33aed9, 0x5f0246d5, 0x53ad16b8, 0x36b1baf1, 0xd89704c5, 0x4a2f4456, 0x097d6b8d, 0x66dae7cf,
+    0x0a112b8d, 0x48917981, 0x052a0feb, 0x15457fca, 0x7d3a2b95, 0xa8381b33, 0x47bfb9f9, 0xfd7bdd0e,
+    0x0c553011, 0x6f0a22d6, 0x980bf4b3, 0x7e802477, 0x8c72ad1a, 0xcae593e0, 0xc98536fc, 0xeded611d,
+    0x70fb8f91, 0x5604ff82, 0xf5ffaa97, 0x7ae5cf38, 0x2fca3473, 0x0713472d, 0x76b471cb, 0xb5f0ba33,
+    0xd47a4a68, 0x9207ed66, 0x3f99004b, 0xbf2612e2, 0xdb42724b, 0x75c84710, 0xcdbe78c5, 0x591e4fd8,
+    0x714dd806, 0xb01345fc, 0x0e578d9f, 0x235191c7, 0x5d7dd98a, 0xc46aeda0, 0x08588dfd, 0xe3ff0927,
+    0x6d06c736, 0xfd54981a, 0xc333fb86, 0x5ec9821c, 0x0c9ac0e5, 0xd2ca5a5b, 0xd23364db, 0xc452597d,
+    0xedfa2adf, 0xa8287e9e, 0x9de89fa9, 0x475360cc, 0xe6ec3cb5, 0x748d317c, 0xb782a58f, 0xd51249e9,
+    0xe4106ac5, 0x7a28229f, 0x40e310d6, 0x7172170e, 0x73f75f92, 0xff0bba51, 0x0b0ca0fa, 0xac5377d7,
+    0x8d19c8cf, 0xb288d909, 0xdefa6845, 0xa3c95d91, 0x7f15ca52, 0xcb9ee8a8, 0xf69a9070, 0xc447116e,
+    0x8b6e1079, 0xa323ddfe, 0xdd062086, 0x3e28ef4c, 0x39586a33, 0x4199fe0c, 0xc91233cb, 0x3de9d18b,
+    0x6dabc1d3, 0xb2924ab3, 0x7a0ab040, 0x5f84a68a, 0x3178e4a3, 0x269a4620, 0x3d358bb0, 0xf161a6b3,
+    0x962c4c18, 0x5e748950, 0x7a914d8d, 0x4a50979a, 0x1f92c860, 0x94924b63, 0x854bb1c4, 0xc3a8abbe,
+    0x9e0d2d39, 0x2b114325, 0x7360bbc4, 0x666ed83b, 0xa8dd49cb, 0x7f07df18, 0xe7aab6f1, 0x2997cb60,
+    0xa3a106b9, 0x37a753e3, 0x7d92188c, 0xb8ed8ff1, 0xcdd12303, 0xf1699f30, 0x8053baa3, 0x4d216370,
+    0x94403891, 0xad5cfd8e, 0x0df0de6e, 0x5a262cf6, 0xba94bac0, 0x8d215127, 0x8664e4c4, 0x1ec8057d,
+    0x5eca2675, 0xa6984428, 0x33160316, 0x8db30222, 0x441cfd2a, 0x83714e3e, 0xe3855b20, 0x5355683b,
+    0xca492821, 0xc43afcde, 0x7df6ec47, 0xd209e579, 0x1ad51db6, 0x5c89021b, 0xe912dd87, 0xef406d5d,
+    0x43037991, 0x16bddb43, 0x705fa091, 0xb860a145, 0x9e388d62, 0xb915d837, 0xf0dafd8a, 0x75dabea1,
+    0x981751f0, 0xb4e13b16, 0x38d92e27, 0x110ff555, 0x80f4cbf7, 0x3fdae5aa, 0x3b2e0f09, 0x7a20d553,
+    0xcd85396e, 0x8b659628, 0xfb1085fc, 0x76b7746b, 0x806dffa7, 0x034d2c92, 0x14de55de, 0x2bc583a0,
+    0x45eb98a7, 0xb75eda3a, 0x71c458fe, 0x7a5e699b, 0x3998a3f7, 0xca959d98, 0x2371ec1e, 0xdb0f8b87,
+    0x46368fc2, 0x684f2d7f, 0xed799f3f, 0xbff2b843, 0xa7cea0aa, 0xb7e51c6b, 0x334913a7, 0x998487ea,
+    0x64bc81cd, 0xeabb2886, 0xc2f7f5d4, 0x510890c3, 0x534a640c, 0x8348926c, 0xb30b4325, 0x80835406,
+    0xa0c44b76, 0xbb73033b, 0x711fdb71, 0xcc2a3ad7, 0x1bd7973b, 0x9dbd3c38, 0x8fe90f76, 0x0fb9754c,
+    0x9b67f223, 0x337d653c, 0xcdd1a86b, 0x73fc3e80, 0x53071dea, 0xff129313, 0x093f9966, 0x51d1970a,
+    0x1c29decd, 0x27f8e805, 0xf5c697ce, 0x6780e41b, 0x0c4c8195, 0x1e352aa7, 0x472625ff, 0x5d05ff59,
+    0xd0590bba, 0xf1893d34, 0x85bfb78c, 0x91a97514, 0xfb561902, 0x43201810, 0xbced6c77, 0xf983fb77,
+    0x69a2238e, 0xd1ea13b6, 0x6689690f, 0x6c183d85, 0xe5ec6b78, 0x8d528d36, 0x5b7819fb, 0x6d781c94,
+    0xebc811bd, 0xa8bb4301, 0xe914eb54, 0x8ad7811f, 0x2e17ea48, 0x30152a95, 0x3461a018, 0x39b4e83e,
+    0x893d5489, 0xefc8f4f3, 0xee4304a8, 0x4b664f8d, 0xa78b4a6e, 0x962faa0d, 0xe3744f27, 0x09389446,
+    0xf127cf0b, 0x117d806e, 0x8f2d37ae, 0xe9c3b912, 0x2add91d8, 0x0f23b90c, 0xd1c2e361, 0x9b8ed480,
+    0x2faa5249, 0x791eb83b, 0x889cbac0, 0x9ad9c60e, 0x9a4ed2dc, 0x8274a9f3, 0x29345323, 0xfd49f083,
+    0xb0ceb95a, 0x51d53652, 0x59acf29c, 0x2aea3a29, 0x78a3ca19, 0x21062fed, 0xabda7915, 0x722b8ea7,
+    0x0d321a47, 0x9181acbd, 0x5beeca30, 0x2b384d3c, 0xc5e944d3, 0x12d82252, 0xd976fe39, 0x654a507a,
+    0x8511e88c, 0x6a82bae2, 0x9b977895, 0xb98550d3, 0xb65aaa69, 0x58252df9, 0x572b20e1, 0x5da38649,
+    0xebdcc3d8, 0x24497599, 0x8f4fee21, 0xb223994b, 0x2810eda0, 0xc97b9656, 0xe807b67c, 0x15bbd355,
+    0xff7ffc8c, 0x0cbf6f31, 0xb27062af, 0x3cd9d688, 0xff856870, 0xf09d1133, 0x22948b35, 0x25dc3c21,
+    0x5d0ec28d, 0xc237cb81, 0xee42a51e, 0x58e8ad03, 0xfbb805bd, 0xdd01bfcc, 0x0a11736d, 0xc5eac35f,
+    0xc69cea1d, 0xba14078e, 0x95ef533c, 0x283bdec2, 0x2f9bae11, 0xafa18774, 0x3f5427da, 0x380a8429,
+    0x06389c05, 0x287d29b0, 0xc626544e, 0x9af5bf1f, 0x194f999f, 0xbecb9a04, 0x9b71ec61, 0xdc27a949,
+    0xd1d55d77, 0xe476d7dd, 0x86846355, 0x7db20447, 0xf90cbad5, 0xedec8f63, 0x19675180, 0x05ad885c,
+    0x90a3463e, 0x0f04909b, 0xcba1b02a, 0x8c0a6cc3, 0x4027accf, 0x1365cbda, 0xd01b2a11, 0xafc6b9ab,
+    0xb89f83f0, 0x5c2c9ade, 0xdeeca706, 0x905eb580, 0xf3b55329, 0x4cddbcad, 0x3cea532e, 0x24dbc41c,
+    0x83094724, 0xe240a7a6, 0xba7f2bb2, 0x3dce277e, 0x357c3a5e, 0x20e7672d, 0x9d6814f6, 0x52fedde0,
+    0xda21612d, 0x4e8a40ed, 0x38b0f04e, 0x1fcca421, 0xd52ad42a, 0x9c658f6a, 0xf7f58a63, 0xd9401f5a,
+    0x5ac9f350, 0x880c6705, 0x3e3355a4, 0xc00e9106, 0x00b99221, 0xfaef4c33, 0x70fcee82, 0xabd0bc7c,
+    0xaec6b2e9, 0x74929836, 0x4d835e1c, 0x9dbd96a0, 0xc3c0126b, 0x34f28b63, 0xbcb00136, 0xf15f0b0a,
+    0xa270a4b3, 0x569a65b2, 0xc227a8ca, 0xb8780bf4, 0x84d63b2c, 0x9fabac31, 0xc57cdc77, 0x432711b8,
+    0x565d0fac, 0x1851bf0a, 0xfdcdec02, 0x4199bc5b, 0x1a40c594, 0x84997049, 0x548a52a7, 0x45c6e50c,
+    0x528d303a, 0xda0af4e4, 0xaf457adb, 0xa1648fe2, 0x10a1dc52, 0x09c5ccee, 0x68c9b13a, 0xd0bcebbf,
+    0xba79aaf2, 0x024da96a, 0x0cb824c5, 0x5e41857c, 0xa6981e24, 0xbbeabbb7, 0xaad8f5a4, 0xd107a637,
+    0xc7910263, 0xaa5bea17, 0x68fd7a1f, 0x9ecee187, 0x58b9a744, 0xdde11d83, 0x19a3db89, 0x407800ef,
+    0x6354b33c, 0x340a2d83, 0x5df45910, 0xcc864c5d, 0xce2c14ca, 0xac03ca14, 0x9de5deb7, 0x44f8c546,
+    0xf4fa0bd7, 0x4db8f0a3, 0x1af0360f, 0x474d171a, 0xa5196d38, 0xfc849e36, 0xe648719c, 0x31028b09,
+    0x471d59e0, 0x2c757d38, 0x28a33b33, 0x635fe630, 0xc4b3e5f2, 0xbfb02cd8, 0xe465a035, 0xd00b7b11,
+    0x9d705f0a, 0x99325fb0, 0xd78e24e2, 0xd670c371, 0x57d6d61b, 0x2c9cd903, 0x173cf4b2, 0xb8a6b330,
+    0x0b75a5a2, 0x6463522d, 0x5069dd2c, 0x30338073, 0x1679475e, 0x811009de, 0x71498390, 0xd42cea97,
+    0xc4db8f64, 0xa95f48a8, 0xcabebdf8, 0x50c94b31, 0x88ce5bf7, 0xa6dd8e45, 0x31c94183, 0xab97b4ac,
+    0x140e1fdd, 0xea0a8cd7, 0x138f13da, 0xdf82595c, 0x472f0586, 0x8b05baab, 0x2aef2733, 0xebf48b20,
+    0x3017c225, 0x201323a9, 0x99f10d42, 0xfba8e811, 0xbbb48fe4, 0x516b2bad, 0x9420402e, 0x5c4cd451,
+    0x7cbcedb2, 0x94d405a6, 0x4bd9f11a, 0xe3ead59a, 0xda684918, 0x2677cddc, 0x876c74f6, 0xc7ca891c,
+    0xae32264d, 0x82ac52ae, 0xd180053b, 0xdd9d9903, 0x315cd8c0, 0x323d9e12, 0xdda9bfe0, 0x36550be3,
+    0x2f471424, 0x1de46f3c, 0xdfc2f9a7, 0xda8a0c3e, 0xe06d0992, 0x4e171fd5, 0xc0299869, 0x7376649d,
+    0x37cf86f0, 0x810c4f51, 0x5b4fd5ba, 0x0b9f912f, 0x4aa7bd27, 0x9950e936, 0x31b9d196, 0x26e2e864,
+    0x19dad2a3, 0x2efc2fd4, 0x18859ac6, 0x3b58bfd4, 0x68407364, 0x32f1763f, 0xc3ebc564, 0x21c1ce0a,
+    0xadee95fb, 0xf3c2b309, 0x4594db54, 0x186ddd46, 0x72a868ac, 0xc20a500d, 0x0d393890, 0x20cdeec8,
+    0x5d9171e5, 0x91d42950, 0xfa85fd46, 0xdf90909b, 0x80360745, 0x3d897a3b, 0x50674944, 0xb7bd5e01,
+    0x8fa45c66, 0xd9a45702, 0x9813483f, 0xc1a28ca6, 0xa55aff56, 0xf104f616, 0x6fa495e0, 0x5d635256,
+    0x73c34646, 0x2e98fcd6, 0x079b8aa9, 0x3d95b9d6, 0x3debb03d, 0xd662b3bd, 0x7b26546d, 0xee0dfa26,
+    0x44bdc53b, 0xeb728b11, 0xa6a99ecb, 0xdd0d1942, 0xd365a611, 0xe4ae2133, 0xdc52f01d, 0xf4baea28,
+    0x05cf83b3, 0xc3275221, 0xcbb61c3d, 0xeae75301, 0xc61a1be7, 0x8cc9780c, 0x516ad835, 0xe28687fd,
+    0x59658cf1, 0xc92fbdec, 0x48d41143, 0x8c865ba2, 0xf5b00721, 0x50c950a4, 0xb2556f9e, 0x3865ad3c,
+    0x5809d406, 0x4c4b54b6, 0xeb13160e, 0xffed0eba, 0x6baaf6e8, 0x238903f0, 0xc50fe5ed, 0x2cfa398d,
+    0x5f856e7b, 0x66558e16, 0xf62c73a7, 0xd333afec, 0x4bf8913b, 0xa28c4730, 0x9f2f00c1, 0x5a0e5a82,
+    0xa8d978e8, 0x5bde6044, 0x66625e1a, 0x16b47bfd, 0x926262c9, 0x60ff57c5, 0xcbb73310, 0xb686102e,
+    0x8b067f93, 0x25469eeb, 0xe68ab7ae, 0x7ccbc170, 0xfeab546c, 0x6d435ba4, 0xeaba5fa0, 0x3cde5a0b,
+    0x7d9829e4, 0x77321fa6, 0x1a7265af, 0xa7c1331f, 0x8e9e3b83, 0xf0bbad6c, 0x2ded0d20, 0xcd35f6b5,
+    0x865a8821, 0xf9efc97a, 0x661c291d, 0xb53927b5, 0xba6fa72d, 0x1d4a773d, 0x22413337, 0x70d4fa91,
+    0xced1b08e, 0xb020cb57, 0x2e419309, 0xf8f17d36, 0x3b025025, 0x8ebdb2d9, 0xad747056, 0xe592bbd7,
+    0xf7e0cc84, 0x43697406, 0x56f63856, 0x1b649fa9, 0xf8cd391b, 0x4349e319, 0xd9fce237, 0xe7decf95,
+    0xc4285cd0, 0x1dd42a9d, 0x7ad81204, 0x08369c44, 0xa60c163c, 0x3e95e623, 0x2374fff5, 0x07e10ad6,
+    0xbfd88864, 0x86725cdf, 0x5294c008, 0x1422dfbc, 0xf4c8d9ac, 0x28d63b19, 0x24197425, 0x2d467a15,
+    0x65d8baab, 0xff9c092f, 0x688563da, 0xf80081d0, 0x03baa308, 0xeee8d732, 0xad94ac1a, 0x42d54971,
+    0xd919b65c, 0x936e9ba1, 0x3e39e993, 0x5981499b, 0x04394c31, 0x28cdb153, 0xdd81ef7a, 0xe9d51e7d,
+    0x8ede2de9, 0xb0c1754d, 0x7b020579, 0x4e7e7312, 0x5aa8a6c9, 0x8eb76da7, 0x3af0cb8c, 0x848aa06b,
+    0x00000000,
+    0x58b353d7, 0x729533fc, 0x7b920159, 0x42f5850d, 0x2faad8eb, 0x47ce8f89, 0x43f7a775, 0xe1674199,
+    0xab2020b9, 0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x40003526,
+    0x00000000 }, /* 10**00000127866820620943041797390222532328091883462579923557218339191069066255226\
+                         42205759980012773798148063113870651109873281527379754908382364816614564560896 */
+  { 0x00000000,
+    0xfd8b9265, 0x65fc26c3, 0xff74515a, 0xbdf23b77, 0x28b2f019, 0x414bd5ea, 0x3dde4abd, 0xeda22c8f,
+    0xac96139a, 0x379bb26e, 0x75510b94, 0x7ac2a690, 0x51ebba23, 0x45d8a7cd, 0xb7dc8330, 0xffceee1d,
+    0xad6669a8, 0x090e65f1, 0x340e63a7, 0x6ea60609, 0x6ee817ae, 0x35c2f664, 0x4abb31ac, 0xc9746e58,
+    0x77a32f6b, 0x2bdf1a9c, 0xee0c310c, 0xbc79a1d0, 0x5f285398, 0xb39f36c8, 0xa77184f3, 0xde5e768b,
+    0x2e86342f, 0x8d4ea9c2, 0xffeee028, 0xa3e1382a, 0xc79b962b, 0x1be6d4f7, 0xf865a7d3, 0x0fa55422,
+    0x197e4165, 0x4d4cefa9, 0x807c57e4, 0x933e689f, 0xca26d6df, 0x38f6bd04, 0x128bda31, 0x3290e8a6,
+    0x1a27afde, 0x1d2760d2, 0x71e2f011, 0x6c7a6adb, 0x9aa04416, 0xc6dfd2fb, 0xb72b36c7, 0x8438828b,
+    0x3c73b287, 0x88bf0ce0, 0xae03217e, 0x44139bf5, 0xaded88b3, 0x8afc35f5, 0x55e882e1, 0xf049eaf5,
+    0x6943714b, 0x98fc64b1, 0x5dd283d0, 0x70ca2f90, 0x912257ad, 0xb8e5002e, 0xc308a9ea, 0x98e77b44,
+    0xb163c0db, 0x2311254a, 0x4827c59a, 0xac5a9f83, 0x5090f039, 0x7db70262, 0x3b5c639d, 0xb47f5f08,
+    0x7600ebd2, 0xa4df76e6, 0xcce4c7cc, 0xb25c2c8e, 0xdde2831c, 0xd7fce813, 0xba0e9463, 0x96461f33,
+    0xa6c47b96, 0x143a8058, 0x6f44fb4c, 0xd7771252, 0x5368019f, 0x596c3d5e, 0x9910277e, 0xdc84060a,
+    0xe2a3771d, 0x0a9599b5, 0x23714e06, 0xc86f9541, 0x3f955191, 0x609bd2f4, 0xaf964d30, 0xcb810f8a,
+    0x34b8e0e9, 0x008e6266, 0xe6065155, 0x1381c409, 0xf3b160f2, 0x1ccb8aef, 0x2e10c56e, 0xddbda6b8,
+    0x148f6588, 0x892c9bb8, 0x3a7f7d16, 0xc6461d76, 0xf9e727f5, 0xb68e38bd, 0x4f087d18, 0x8c91cb08,
+    0x59c1a6f5, 0xb9b9f381, 0xc27baab4, 0x1dc5aae0, 0xebb782a4, 0x6e902863, 0xb5e2ba04, 0x7736b57d,
+    0xd16f90dc, 0xb9f18dc1, 0xa4241697, 0x022b3ff6, 0xe38235dd, 0x232db558, 0xf585ca40, 0xf373e302,
+    0xfbd009dc, 0x81049583, 0xdcf36f38, 0x5f3b5497, 0xd358185f, 0x02ae3559, 0x048eb32a, 0xc43db90d,
+    0x8da734cd, 0x2cef57f6, 0xce984224, 0xa9b84d30, 0x276fea61, 0xa0194abe, 0xbc6f19b0, 0x42f94885,
+    0xd99f81bf, 0x6b693740, 0xcb0e5907, 0xf7cf8cf2, 0xb5beaed1, 0x60028872, 0xcc1ed9f7, 0x2c8757cd,
+    0x521a1029, 0xf18829ba, 0x0204fec2, 0xe073a6e3, 0xb634f2d5, 0xecebc521, 0xb82f0ee0, 0x859228f3,
+    0x0c86fb65, 0x7e055bcd, 0x5fa9c174, 0xede28edc, 0xaf53cd52, 0x800cf1ab, 0x60e741f5, 0xba6bf912,
+    0xf9376c05, 0x4bae91ee, 0x84811cd2, 0xdd2dfc59, 0xf0a4f79f, 0xd6565539, 0xd874922a, 0x98e53bbb,
+    0x743da23a, 0xe21ef830, 0x4f76afec, 0xbbe033d6, 0xc600c774, 0x8425f34d, 0x95f416a3, 0xd282255e,
+    0x006c66ce, 0xabd9ec10, 0x8fb3b59c, 0x00b31a98, 0xccaf2e86, 0xe0f685a8, 0x89415f9e, 0x2c8104dc,
+    0xd07f5a31, 0xf9e1c779, 0x4c41c319, 0x0ef74b78, 0x2059d63f, 0x82e4f58c, 0x35ceaac6, 0xbc45f09c,
+    0x0897f4bf, 0x5f9913d1, 0x6401799f, 0xc51739e0, 0x578356dd, 0xe3b94756, 0xe0dd6ccd, 0xf1613e5b,
+    0xd2fa7c5f, 0x196e802a, 0xdf1ae14e, 0x8d9c4bea, 0x78d1b396, 0xc96c532f, 0xd1b5ba9c, 0x0b8a9161,
+    0x05901d33, 0xcba46926, 0xa8b03944, 0xe2a75a40, 0xd4248132, 0x0a7e7d03, 0x05947adb, 0x3fcbd94a,
+    0xab17c2fb, 0xed36023a, 0x18348bb1, 0x1921ed7f, 0x52fda9ee, 0x2ec46d13, 0xce84dd7a, 0x83c844e6,
+    0x74b80625, 0xe4f0dc0d, 0x08367948, 0x93361a7e, 0x47b4aed1, 0xd3c11021, 0xf31f6c82, 0xe5d40dce,
+    0xe9a55f1d, 0x1fb52505, 0x3d358a1a, 0x1c6f9cda, 0xa88445cd, 0xe3ca1376, 0x3524f21d, 0xce026fdf,
+    0x223e7383, 0x2ca846a7, 0x4e89fb7f, 0xdb625d05, 0x105a4ae5, 0xeb53e215, 0xc49dd6cd, 0x816233af,
+    0x024d0fcb, 0x38bbf4d5, 0x4610777d, 0xe8009854, 0x9b285bb9, 0x4648d239, 0xfd388f5f, 0xd7262fef,
+    0x489abad9, 0xb9301dc1, 0x4f324758, 0xc76bc7da, 0x8850c4a9, 0x9126306f, 0xa3371189, 0xbe1b2873,
+    0x41b8e948, 0xe6bb8d37, 0xaa6afb17, 0xbbfb1392, 0xfd442a8a, 0x8406db25, 0x0dc1012e, 0x62d31830,
+    0x1d7ce42e, 0xe23962fd, 0x9cf68723, 0x3268bca8, 0x82d87344, 0xbdb5df05, 0xefb0eb60, 0xede54154,
+    0xddebfa2a, 0x41209c0a, 0x7606e330, 0x068f1531, 0x3c0e0273, 0x7b8f3c93, 0x69c08820, 0x7f5e9b76,
+    0x08030b5b, 0x11d83a8e, 0xd7226c43, 0xf62ee422, 0x39d30e49, 0x14281dfa, 0x3f8ae738, 0xa6f6a2bf,
+    0xf6757219, 0xbed13f7f, 0x174d9c32, 0x390ce723, 0x32fc33fc, 0x5cc57c43, 0x8cbd9e35, 0xf4aaa3fa,
+    0x9a3d3b57, 0xb1c22f4d, 0x4bd9c311, 0xc7f583e2, 0xc1126d59, 0x61a9c5dc, 0xd0b21391, 0x5c1fa76a,
+    0x84e97773, 0xbf3b183b, 0x7f2e2636, 0x48b2110b, 0x79b8202e, 0xb6063820, 0xe176bc23, 0x18ee56fb,
+    0xa906f582, 0xe488408b, 0x78ee7c05, 0xd72d9608, 0x4f39ea27, 0x48d6eb80, 0x78bd097e, 0x3d37dc31,
+    0x405a003f, 0x380b4456, 0x77f4a74c, 0x687b32f6, 0x1e07a4b1, 0xa19d4cce, 0x8cf36ce5, 0xd746282b,
+    0x3585c4f8, 0xde55c54d, 0x074e37c5, 0x0e1addb8, 0x2e4e28ad, 0x7346c628, 0xcad58a44, 0xd6e61e76,
+    0x3d1765f7, 0x6d70e80b, 0x2bf173d7, 0xa6526712, 0xb7d0a893, 0x8093006d, 0xe82393c5, 0xe257954d,
+    0x6dbff753, 0x70a95132, 0x8c760d2c, 0x0c0e9768, 0xf9653e41, 0xd642e2b5, 0x0beccf40, 0x9d45228a,
+    0x983f5927, 0x203f1fdb, 0x2fd85607, 0x80d407c3, 0xa25d6fe1, 0x902e4d88, 0x3019764c, 0xdf476eaa,
+    0xccb491e2, 0x869c29c1, 0x88012876, 0x22a6e105, 0x49b89b26, 0x916500b5, 0xa42a928a, 0x5e3c76a2,
+    0x9046ee4d, 0xe28a58b4, 0x4e5a1c4c, 0x6004dd3c, 0xdc08727e, 0xedec38ac, 0x84c31856, 0xd2be2d9c,
+    0xe9181b74, 0x97a02c9a, 0x3c04e957, 0x83df75e1, 0xe57a9d3a, 0x2415631a, 0x106970d0, 0x486d3539,
+    0x603b6333, 0x39a469b9, 0x447dec57, 0x35b539ca, 0xed4d15d6, 0x06cde5ef, 0x05415cb3, 0x9de4a75b,
+    0xcd13fbb6, 0x403e4aa9, 0x5b1cf7c1, 0x15f9e3d2, 0xab889eb3, 0x9715648c, 0x757480fd, 0xba674571,
+    0x8a8226d3, 0x0e01fe2b, 0x4c99372d, 0x18ad27a0, 0x6738aac2, 0xb3a79f17, 0x34a443b8, 0x614ee4ec,
+    0x50a98268, 0x97a47359, 0x982579bb, 0xb4a6caa0, 0x2b0a9f08, 0x78155fc0, 0xba5ec490, 0x1ff16825,
+    0xfd57e029, 0x0bf8137b, 0x0e529bf0, 0x877cd8cf, 0x002f81ef, 0x60ba6c8e, 0xb855c130, 0xf6d4faad,
+    0xb68ee0a0, 0xa438dd16, 0x445ac7da, 0x981f2eac, 0x6967f901, 0x3925f8e8, 0x9a727c45, 0x8b1e2351,
+    0x9b58d5ca, 0x0fec453f, 0xbba8b63e, 0x56cb4a26, 0xca8580cb, 0xf58f38e2, 0x4989ef9f, 0x0078aa7f,
+    0xe3009136, 0xff4e529d, 0x6524b4b8, 0x6d810666, 0x43f041ee, 0xcad1fc8d, 0x7567320e, 0xba03de0a,
+    0x682c2aa2, 0x2ae78a84, 0xeac89fc9, 0xff4c12a0, 0x7f64436b, 0x7d7ea196, 0x4a786d51, 0x4a9f2002,
+    0x3817b8f0, 0x624da2fc, 0x375064e5, 0x0c21046d, 0xdfd71449, 0xf72e85da, 0xebfe94ad, 0x0e9ae2f9,
+    0x9d64341f, 0xba17168c, 0x6ecb5065, 0x518263ca, 0x6ab7cfb0, 0x785b05a4, 0x80a9e12d, 0xf23d7210,
+    0x0b6da036, 0x75c1ee41, 0xf83bf161, 0x71cdfb39, 0xa220ab64, 0xd2ca84df, 0xe77d41d8, 0xc0f90184,
+    0x046d6c6b, 0xb0a60680, 0x83378a58, 0xd5cc6d6f, 0x38f3c2a9, 0x2bf76d95, 0x27fbad51, 0xeccea7a2,
+    0x435fde77, 0xe3137b08, 0xe5b269c5, 0xddac1989, 0xd5da5e1a, 0x9d53b5de, 0xa93686ca, 0x1f2bc9fa,
+    0x90212230, 0x8b9c278b, 0xe004508f, 0xcf606b18, 0xc72faff3, 0x1a644947, 0x31844339, 0x84e18e77,
+    0x06e52feb, 0xf69d450f, 0xcceb3cbe, 0x73450e86, 0x507146ff, 0x92ff89a8, 0x75b9fa5e, 0xee127f62,
+    0xd0cefd48, 0x32a6ba19, 0xf84d5d7b, 0xefd4eeb4, 0x76d05330, 0x7e34f581, 0x3fefa57a, 0x51eb900d,
+    0x4883a998, 0x851c7307, 0xbee79fdc, 0x018cd599, 0x2b9e4322, 0x684a1e42, 0x322bc6b8, 0x84c2c211,
+    0x46d4474e, 0x13c2aaf0, 0xa1588435, 0x0f588929, 0x74b9b7ca, 0x4792af33, 0xe6f5ee1f, 0x8f596a1a,
+    0x8ad760ff, 0x15e21025, 0x0b5bb53d, 0x0db18e6a, 0x70de6c13, 0x1b4b86af, 0x5f432c3c, 0xfc168175,
+    0xc4825a0e, 0xbf1bc4e2, 0xfe3a3792, 0x70cab593, 0x68bce84d, 0x700ebaab, 0x80a05711, 0xa56274cf,
+    0xa033a3ea, 0xcfa366ef, 0x5dccaea5, 0x81a79598, 0x192ad775, 0x6ec9c455, 0x376a7435, 0x4202153b,
+    0x6b347952, 0x3acc6258, 0xcf02fc02, 0xe12fced8, 0x16a9063d, 0xac2cfd17, 0x4414edf5, 0x5951d0df,
+    0xfc4e4796, 0x99665ee7, 0x509bf023, 0x05667eba, 0xfc447065, 0x7ef55dca, 0x3a1d4ed3, 0x06a2aa2e,
+    0x37da02a2, 0x1773247c, 0x59e36d90, 0x3423306c, 0xfcf4ae65, 0x03838d9d, 0xae57bd54, 0x8d9dd5c0,
+    0x4a3377f8, 0x65d4b0c2, 0xefe22806, 0xa48fb87a, 0xb27d38bf, 0x7a23846c, 0x29fa6352, 0x7dfa520e,
+    0x35f41717, 0x38961105, 0xd246d39e, 0x14872080, 0x084fb825, 0xbed29a7a, 0xbbaecd2b, 0xe00e7323,
+    0x313b4e47, 0x77997788, 0xac109776, 0xb1545137, 0xd5f7cd71, 0x0f026f5d, 0xdf8f76c3, 0x708e13c3,
+    0x38f6dc46, 0x3b1d3e8e, 0x26444c85, 0x44505bc9, 0x53738429, 0xa7d557d7, 0xec10e258, 0xe24976f8,
+    0x624fe2e4, 0x0cdd4788, 0x669e683e, 0x4c9c4419, 0x44f2741b, 0x244f56c4, 0x01edabb5, 0x7ee8410a,
+    0x726e555b, 0xb37fadc9, 0x7376596f, 0xa52b8512, 0xa42f84d0, 0x63ca860e, 0x3f47e027, 0xd043f7c0,
+    0x52aa2ed1, 0x6c3f4ba3, 0x63aaf052, 0x64d8f15b, 0x69e04bc0, 0x102fc2e7, 0x298e8c06, 0x2413b01e,
+    0x9af1e3d6, 0x9831847e, 0x7f7205d9, 0x30f19642, 0x6935f015, 0x0952e1d9, 0xae465212, 0x34aa82fd,
+    0x9c29b86a, 0xf5b1ba1c, 0xb24cd4cc, 0xe28e88a7, 0xc844ede4, 0xb846ca2f, 0x949a56f1, 0xe37758a2,
+    0xfc5d9831, 0xc7063014, 0xf0f724d9, 0x4888418f, 0x2c3e1351, 0xfe0641d1, 0x476af537, 0xcb125979,
+    0xd4d0cd08, 0xcdf69ea6, 0xfacd33e3, 0xed8db329, 0x526b1e6c, 0x15e8e7e4, 0x78ab46e9, 0x066b51d9,
+    0x31c4dae4, 0xc400b7c9, 0x9539a943, 0xe25e675b, 0x647714e4, 0x81efe4a6, 0x5edff11d, 0x6450e939,
+    0x3c9d9c24, 0xff423002, 0x167fecc6, 0x8462200c, 0xcc5a45e4, 0xd4ec4b0b, 0x2799d1a0, 0xeacc315a,
+    0x4ec396c8, 0x9f2c25b4, 0x29dcad99, 0x63e122a7, 0x139d3f21, 0xd5e59213, 0x69131edb, 0xfe88c262,
+    0x496903cb, 0x00ec6060, 0xaf23b8e4, 0xd10573df, 0x46935f78, 0xa950637a, 0xd9a749fd, 0x1de4a6a8,
+    0x2cae8f24, 0xa069931c, 0x0516a670, 0xb52d9495, 0xeec78f72, 0x0fc31f3d, 0xa631dc72, 0x2f44b756,
+    0xa9ed0720, 0xc04fa2b6, 0x28901e3c, 0xcf5e3a7d, 0x44b245e6, 0x0f8ec454, 0xb75325d6, 0xa1ac32c6,
+    0x07746e4a, 0x73c45f9e, 0x696fe217, 0x1b6a5a08, 0xd075edd7, 0x5c149d3a, 0x65cc5eb8, 0x248d3408,
+    0x345cf046, 0xa5df1804, 0x851f6a49, 0x3da5a40a, 0x71b2d012, 0xa431955a, 0xa5723cee, 0xebd3cd17,
+    0x7684aa85, 0x03dfeffd, 0xaeb91ad8, 0x7736e024, 0xe5563527, 0x8bcbc28a, 0x74311e37, 0x77c2106d,
+    0x296078ad, 0x5bf4b8ca, 0xbea442a1, 0x017a6538, 0x94ba5241, 0xe1886e57, 0xd4aee599, 0x44892639,
+    0x868b52f6, 0xbe00da89, 0x1916e171, 0x4fb3715a, 0x5a00a2f7, 0x1be3d252, 0xef1f71c7, 0x7dae7f35,
+    0x32e3467d, 0x2fab2426, 0x3e60655a, 0x2c9e46ea, 0x3078b7c7, 0xf120bee2, 0x60b37620, 0x2817c483,
+    0x40bd7449, 0xe3fdf6f4, 0xd50ba895, 0xc7db0b8f, 0x94ea7e98, 0x5e771947, 0x93945596, 0x593ee412,
+    0x8bbecaf4, 0x62d816db, 0x62001293, 0x1bf2685b, 0x3bbee2fa, 0xa25df301, 0x89fc07ff, 0xe5986b1c,
+    0x55266c21, 0x608f4c91, 0x77dbc2c1, 0x2d00535a, 0x5461f432, 0xf73a8860, 0x9294cd28, 0x9ead1c35,
+    0x611c658d, 0x328ba217, 0x518faf18, 0xef57da4c, 0x85bd34be, 0xdd5273c9, 0x16a6cc8a, 0x7d1842c6,
+    0x55ec41ca, 0x7810ce95, 0x5b843ce8, 0xeb1465f1, 0x6415618f, 0xcd7ff09f, 0x23202618, 0x64ec904f,
+    0x44cd90fc, 0x762ba309, 0xa60a6034, 0x75c9f413, 0x0dc11104, 0x3d603bc8, 0x923abc0a, 0x3feab2d6,
+    0x21387fac, 0x9074baf2, 0x4f593bd6, 0x79023f71, 0x9d5adfa7, 0xb0e182b1, 0xd881fe06, 0xd248bd58,
+    0x39de7bd9, 0x776eac16, 0xcdcd4d61, 0x03d50089, 0x7d844bfe, 0xc1123ee4, 0x126d7f80, 0xf294e75b,
+    0x18c108ea, 0x2679e05d, 0x49d1edba, 0x37e1c32d, 0xd25e8ff5, 0xd8412e42, 0xc12c1202, 0x6a0b958e,
+    0xfec4980a, 0x6856341c, 0xf935c98f, 0x222341dc, 0x9422e87e, 0x3a4e449a, 0x83a8f2df, 0x1799b05c,
+    0xd3a655bf, 0xf09c6a07, 0x41eeecd9, 0x9bd56d70, 0x9b51bab3, 0x5db7e1de, 0x4a20c885, 0x3f5655c5,
+    0x9de4ec81, 0xaf648011, 0x9fc10d8b, 0x55db625b, 0x05a2e57c, 0xd2bd45d7, 0xf682e854, 0xef4bcbf4,
+    0xa1f18640, 0x5fd7dc96, 0x74652835, 0x2e28357f, 0xe72f0dd8, 0xaa1b0cae, 0x2987a6d9, 0x54e462c4,
+    0x1d8f85ec, 0x1b6540c0, 0x8f61db88, 0x868cbc0a, 0x838d9028, 0xae3206bd, 0x4d6d62d3, 0x15c9e0e5,
+    0x050328b0, 0x891ecf23, 0x8f903e43, 0xc29fc85e, 0x2ba30ffe, 0xa56e91b2, 0xa5cdcfd7, 0x9ea1bb39,
+    0xf0b6689e, 0x2b273dd6, 0xc4c8d3b7, 0x4e2f10dc, 0xbeb465b6, 0xb857f33f, 0x010f975f, 0xf063d5eb,
+    0x2aba36e9, 0x34a25537, 0x79116603, 0xdbd14ba9, 0xefae635d, 0x2de31b83, 0xc03a529d, 0x32f2fb7c,
+    0x4acafe3d, 0xb3920719, 0xde7ddc76, 0xe20c9aa7, 0x35135e75, 0x5983822f, 0x20ba2b0d, 0xeabbbf7e,
+    0x66e6d316, 0x15336a52, 0x1e6ed6f1, 0x45664d05, 0x8981a1eb, 0xa528f41f, 0xfba590b9, 0x381d33cd,
+    0xab494c98, 0x5318ddc6, 0xe1da7581, 0x648cddf5, 0xce9f6bc2, 0x838f0b7f, 0x359a5b90, 0xb2830edc,
+    0xc52133cd, 0x6669e737, 0xb37eb27a, 0xaa506412, 0xa8ca24c8, 0x617c304f, 0x4f7d879c, 0xf2dd9ecf,
+    0xcdcbfb93, 0xcdb199b1, 0xc1a3d7b0, 0x16a7d168, 0x18564482, 0x059f393b, 0x41a8ab16, 0x3c6f4960,
+    0xc774ece5, 0x0be23b9b, 0x462461ae, 0x979c66d3, 0x73cc8980, 0x1b74f24a, 0x21659a14, 0x36424f73,
+    0xb86ad6ce, 0x6e1a7b78, 0x6de417a7, 0x6cdadc77, 0x42c17307, 0x0a09077e, 0xc26b865b, 0x2774aa29,
+    0x4df191d7, 0x65aeb28c, 0x2cac063f, 0xf2a25b96, 0xe7a37b88, 0x7c98b4f5, 0x7ac11a3d, 0xedce465f,
+    0x456fa199, 0x3cd47e9a, 0x8e58358d, 0x9a00b05e, 0x6842a1b6, 0x435d4d61, 0xd3a3a3ee, 0x8caef4bb,
+    0x6c5bbd08, 0xe14e551c, 0x29180147, 0x699af09f, 0xf8f229c4, 0x81e80ad0, 0x9ab2a52b, 0x82403f19,
+    0x00000000,
+    0x2c59a9eb, 0xb94a99fe, 0xbdc900ac, 0xa17ac286, 0x97d56c75, 0xa3e747c4, 0xa1fbd3ba, 0xf0b3a0cc,
+    0xd590105c, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x40001a93,
+    0x00000000 }, /* 10**00000063933410310471520898695111266164045941731289961778609169595534533127613\
+                         21102879990006386899074031556935325554936640763689877454191182408307282280448 */
+  { 0x00000000,
+    0xf7949697, 0xdacaa775, 0xf210fc27, 0x68e682ff, 0xb789bafb, 0x04052a37, 0x1fbd1bd9, 0x4a80dc65,
+    0xccf993d3, 0x8de2d795, 0xeac45006, 0xb7ddde11, 0x72b6c194, 0x4c5cafb9, 0xc0ba50cd, 0xc22c6bdc,
+    0xe99ee82b, 0x78e27a07, 0xda34ba4b, 0x6a595368, 0xa078811d, 0xf962d51e, 0x118a374f, 0x3e921c9e,
+    0x614f442b, 0x3375e00d, 0xfbe5a406, 0x60cb3386, 0x79e8eb6d, 0x490d4be3, 0x68819214, 0x29afba9c,
+    0xa15810eb, 0x51ae3fad, 0x0c1c4169, 0x72822933, 0x10f3aac7, 0x01131ff3, 0x22f59f77, 0xae86d597,
+    0xa2a134ca, 0x58381b6e, 0x5f01677d, 0xf0bf7c8f, 0xd663e5f4, 0xf9a57fce, 0x2e315551, 0x98b13ac8,
+    0x6259643a, 0x02ca436c, 0xfd97ab1c, 0xbeb98705, 0xb1e89da7, 0xab9066ca, 0xebf7453a, 0xe882f28f,
+    0x7c32a00f, 0xae8bcce2, 0x470ccb68, 0xefe6df33, 0xa119c5cc, 0xe8f3e54e, 0x5c489b82, 0x1e50356f,
+    0x820113b6, 0x85a6c410, 0xda149456, 0x64d279dd, 0x4369aa67, 0x8a3fe2a0, 0xd956b3fd, 0xb5130496,
+    0xd4a66cbe, 0x19da5cdf, 0x589ef714, 0x513dd197, 0x0f387573, 0x68ba47e8, 0x0baa46d1, 0xea408a1f,
+    0x38f74e18, 0x8a443e0d, 0xaa3f24f1, 0xe5d1a804, 0xc70e2c78, 0x5cb636e3, 0x70540f91, 0xdc43080f,
+    0xa0d828e0, 0x76977db9, 0xdec75c6b, 0xe12be577, 0x23cd4787, 0xd34f1ff3, 0xec632f6c, 0x30a64af0,
+    0x81c50849, 0xd0bccb9f, 0x5667398a, 0xba58e49c, 0xda5457f2, 0xa7ad9272, 0xad566532, 0x0a5ae11b,
+    0x1914c1fb, 0x55509f1d, 0x134a376d, 0x059597aa, 0xb80b4ce6, 0x5a5aa2b1, 0x4c6ff730, 0xfa41406a,
+    0xd184a925, 0x6bb1e7f4, 0xac63e874, 0x267f38ba, 0x4f48afb6, 0x68cf7de8, 0x950768e5, 0x6d97a20c,
+    0x36441e83, 0xa0f44812, 0xfb162214, 0x700ab996, 0xdc956ed7, 0xb9e2207d, 0xfc13e391, 0x5791419f,
+    0x7b6e6c6b, 0x269e067f, 0x8c2fea2f, 0x62cf2d21, 0xcc0fe03a, 0x16778351, 0xd0dd580e, 0x73fa78bf,
+    0x45abd91b, 0x02899069, 0x6b2307b3, 0xca0e9397, 0xc79d7a15, 0xcc65b555, 0xa3b6094b, 0x7ff4c46f,
+    0x421e157c, 0x8838bc9a, 0xa653c2b0, 0xa0d2103f, 0x0ecd1127, 0x6a1b9db0, 0xb2d0bc83, 0xe37c2150,
+    0x4d4857ba, 0x1e55490d, 0xae2384cc, 0x007e3ea5, 0xc35d444a, 0x8633ec0d, 0x8ae2446d, 0xcc135cb4,
+    0x53f858fc, 0x0228e5dd, 0x12530525, 0x0708ccc4, 0x276f9f08, 0xeda6d872, 0x97458bc1, 0xd7c8ada4,
+    0x8e7bf275, 0x7f2a4e4f, 0x6f84d153, 0xb707a075, 0x728ad2df, 0xe2f51e38, 0x887ceab8, 0xe3b530e0,
+    0xd1f4733c, 0xfc576a5c, 0xe4594ced, 0x9551749c, 0x787cbba1, 0x39fb5f64, 0x4cefc637, 0x1b9bc353,
+    0x423201f2, 0x6cd82d8f, 0xd4c6968b, 0x99173873, 0xd0fec946, 0xb2e578f8, 0xf5169620, 0x8a5cf837,
+    0x4c252fa8, 0xd60e5616, 0x102f012f, 0xa7ea7aa9, 0xd1e55c34, 0xd4e4fe22, 0xdc944298, 0xad72a935,
+    0xbe7e86b8, 0xe0a6b5fa, 0x302155d4, 0xfc563ec5, 0xb41cba66, 0xa74d9392, 0xd57e8846, 0xff7a6419,
+    0x2f8d9c20, 0x38a52491, 0x700e4d53, 0x62289389, 0xc8384b20, 0x17e3f39b, 0xbe6ac4cf, 0xd8c2483a,
+    0x19423e82, 0x62e446a3, 0x5c0f03c2, 0xe49c9e57, 0x737e32ed, 0xbaad25fa, 0xb3bd5786, 0xac114d06,
+    0x6e3e0983, 0x3737eefa, 0x68691ae2, 0xe0a231bb, 0x777ffaf2, 0x3828c4a0, 0x14f82e99, 0xbb90382e,
+    0xb89a4c27, 0x9e9cd13a, 0xdf0c59ed, 0x8811e056, 0x9bf015f9, 0x29661ce5, 0xd9823a12, 0xe27a89fa,
+    0x9b4acc79, 0xb470b408, 0x63606528, 0xa11833fa, 0x0037efbb, 0x6c489bb2, 0x949d9cd1, 0x57775cea,
+    0xfff62341, 0x7680d584, 0x614aa9a3, 0xbd3bcfab, 0x34a5ec59, 0x1d69023b, 0x08712330, 0x851f0f7e,
+    0x410ad6d0, 0x0067a512, 0x5cfc8fa3, 0xe8eeac55, 0x69d0e8dc, 0x6ffd57bf, 0x0cad02cd, 0x33492bc8,
+    0xc7b72ac4, 0xed0365fe, 0x9523ffe9, 0x6e141c84, 0xaed323a9, 0x903c51b5, 0xfef6bba4, 0xaba6f688,
+    0x81d1e071, 0x53eb1a4c, 0x74bf2b42, 0xae36e95c, 0x75848898, 0xd4804de8, 0x5addc5de, 0xf22b0730,
+    0x860cf28c, 0xbbe7c420, 0x0daab85e, 0xd89ace5d, 0x623c74b3, 0x1d2b9ebe, 0xa910f5ef, 0xae203c2f,
+    0x0b732e98, 0xb6eccda9, 0x8b5ed9a9, 0x64fd419e, 0x8e0c388f, 0x51722250, 0x1a473432, 0x6a2838f1,
+    0x1fb2bfc7, 0xdf113891, 0x0d575527, 0xb2bf9735, 0x7d3b7e30, 0x876cdbad, 0x1b4510c9, 0x9bd1d916,
+    0x5bc309ca, 0x6f0168fa, 0x9e1e2112, 0x3fb21154, 0xcc269876, 0x234322ca, 0x0fd91b56, 0x30282d33,
+    0xbec5688c, 0x5759ddca, 0x47e55927, 0x4e7f29e5, 0xcbf2fb50, 0x2be88382, 0xbe499c02, 0x05ad0fdc,
+    0xbe5816ff, 0xc9244154, 0x4fcf4898, 0xca8d0f6d, 0xe67a9903, 0xd3d05e11, 0xda0bc1de, 0x206aaeb2,
+    0x3423823b, 0x654862d4, 0x1d6b674c, 0x4baf85f3, 0x468dceb4, 0x1d3b6f05, 0x5f1872f8, 0x0221f51d,
+    0xf4c7f5ee, 0x4537d86d, 0xa732c435, 0x9dd572eb, 0x6892452a, 0x9adc7661, 0x23a0ca0f, 0x85e77b70,
+    0x33449693, 0x7df81076, 0x8eba627a, 0x57ef8a83, 0xd6319533, 0xed466927, 0x247efb9a, 0x12b25ada,
+    0xdc8bbfc4, 0x00d5076d, 0xf7f961f5, 0x1c60ff0c, 0x4806300b, 0xacb7f11b, 0x3a86e212, 0x883278c3,
+    0xdf4548c7, 0xd2a4a0f9, 0x62d022c1, 0xaa864a80, 0x313e9efe, 0xaabf6829, 0xd22ea102, 0xb43dc45f,
+    0x792011e7, 0xb4cc1280, 0x32e745a3, 0x73eb385e, 0x01ab74d6, 0x49a5ac07, 0x12307634, 0xc79f1952,
+    0xa106ff33, 0xb9b9b9f6, 0xa20b8efe, 0x3827c26b, 0x9f241cad, 0x7920e240, 0xc58e8200, 0x3b466a9e,
+    0x57fa35d1, 0xac11f52f, 0xf9cf4160, 0xca5e0f86, 0x75f5888b, 0xf5015841, 0xe66c695c, 0xb439d036,
+    0x467a5889, 0x516895f4, 0xfbb7e519, 0x2d1f3e4d, 0x9fd204b6, 0xe7e2a39d, 0x6c49850c, 0xd63a20fc,
+    0xf3ddad1c, 0x1c17252f, 0xa3c2455f, 0xc9c72133, 0x4196aa74, 0x42a6acf7, 0x582d1767, 0x0f61885f,
+    0x5d0e2266, 0x0adf5024, 0xe4ac5000, 0x426c31de, 0x6f9db891, 0x08b42ab1, 0x7e701ef7, 0x70504e3b,
+    0xd251f5f0, 0x8ba878a8, 0x4be3fbec, 0x2a64af60, 0x17110cae, 0x61ffe8d0, 0x067de380, 0x18c2cb67,
+    0x2b401054, 0x97bd23fd, 0xccb01018, 0x0fed359e, 0x7a88b7bb, 0x5b19ddd2, 0xb8b32865, 0x6db54ac2,
+    0x8d5b04d9, 0x6a3967ab, 0x59cb3d38, 0x77ada5a0, 0xa0e4eebb, 0x3424d776, 0xc5d97de8, 0x02dd0fe9,
+    0x85112b6e, 0xc1b1af5d, 0x2d97ac70, 0xbc97c533, 0xaa809d18, 0x9c7f581f, 0x731fca33, 0xd670539e,
+    0xbf4e8aff, 0x5d56c8bd, 0x91cb3beb, 0x87526d5c, 0x6a2b0738, 0x2d2cc350, 0x9ab5fc6e, 0xd6deddaa,
+    0x45ebb3f1, 0xfe978c33, 0xfd49135d, 0x93ce6f51, 0xa0c1d240, 0x1c233eae, 0xfd50467e, 0x927548ee,
+    0x75be8af0, 0xe29f73d3, 0x88398688, 0xe8a50579, 0x4c2e1dc7, 0x2e47b273, 0xeaa3c817, 0x94456365,
+    0x1ee1edbb, 0xb89e3320, 0xb0f9a178, 0x5c75f755, 0xe7daee80, 0x8087f600, 0x775af364, 0x025ba31b,
+    0x05597855, 0xd83490df, 0x6915a15e, 0x5d64cf61, 0x985f8b33, 0x7d4cc775, 0xa08cdb49, 0x7f7bc37c,
+    0xab4c7c56, 0x3e6c6ba3, 0x3c8a5de5, 0x88040aa3, 0xd620e144, 0x54dd291f, 0x3fdfb019, 0xfa0db673,
+    0xb86e3a89, 0x8f04b7d4, 0x90f1fe7c, 0xc6c22d22, 0x10dc98d6, 0xb5245f50, 0xc5132a94, 0x4408dc7c,
+    0xdca43487, 0x68adccde, 0x1288d2c3, 0xfcd08751, 0x8592215c, 0xd36bfc7e, 0x25c6bc97, 0x7674c875,
+    0x662c3dd4, 0xb08424cb, 0xdddbc225, 0xccaa3dfa, 0xd2bf15ef, 0xb88da95d, 0x91eaa8d6, 0xf2cd6fed,
+    0xd35b6c8d, 0x0194239f, 0x11a67309, 0x3b1d453b, 0x4a36cb47, 0x625e9b2c, 0xecfb4292, 0xbe15b9ef,
+    0x80348fc4, 0xdec8da36, 0x390b8be9, 0xa28ef1e2, 0xcff64859, 0xcd728e38, 0x4e056da6, 0xbdaa0000,
+    0xe1cd7a1c, 0x8f1abaa6, 0x2cc0e8a0, 0xaa62a6f3, 0x16bfac9a, 0x05d2f96e, 0x910feed0, 0xddd512e2,
+    0x884d797d, 0x88d5b737, 0x1e724d74, 0xfb716184, 0xeede5109, 0x141880fe, 0xaba5df62, 0x51f9f980,
+    0x116234fd, 0x10ca2293, 0xbc0c2e47, 0x5d831926, 0x34f3a2ad, 0xe51a1127, 0xe4d7ce25, 0x01a27572,
+    0xf1f6fbc6, 0xd1c50d59, 0xb97d3f39, 0x2bbe717f, 0xdf14a66e, 0x6d88178c, 0xee7d3432, 0x83d2f7c5,
+    0x6898cf67, 0x09a28694, 0x9d3ca509, 0xf3d84511, 0x43739a13, 0x23e07469, 0x5914b461, 0x64597a52,
+    0x1057e711, 0x86e72fbb, 0x39161e2a, 0xc3059055, 0xeb234c78, 0x3e366bf8, 0x9f1b970f, 0x91f562ee,
+    0x968e0ab5, 0x9ce273e9, 0xded695ca, 0x9073454c, 0x07d4f8ea, 0x8e685d1b, 0x007844f7, 0xbe81545d,
+    0x719df6b6, 0x0c69cd32, 0xe6de43fa, 0x3d4844b2, 0xc24112cb, 0x0834af23, 0x3202e5f7, 0x1cdcdb5a,
+    0xe004f557, 0x49ce080c, 0x8146575c, 0x8aebaff6, 0x267b9adf, 0x1f67339f, 0x28061a2f, 0x6c0acd8b,
+    0xf68c9511, 0xac1b08f6, 0xaa6aef2c, 0x8908e212, 0x7d9b7b1f, 0xaa2cae23, 0x7d5747f0, 0x09024ec2,
+    0x7fd2c805, 0x226664e5, 0xe5084379, 0x61ae9e14, 0x27f2c589, 0xb30726e0, 0x511fc192, 0x8db86198,
+    0xa2b2d5a9, 0x116a4f93, 0xd66f9f7f, 0x51670a90, 0xa0795b31, 0x05a4df87, 0xfe560520, 0xadc349d2,
+    0x57ddbe21, 0x179f3462, 0xa64fab2d, 0x5d3fda2c, 0xb53e1c84, 0xd85fd7aa, 0xab3964e9, 0x68f8aaf6,
+    0xe387990c, 0x99be8575, 0x59239d0f, 0xfd074c02, 0x097aa854, 0xc6d9804f, 0x5a651474, 0x5efe6430,
+    0xe37b3da7, 0x51056355, 0x79fc1ef1, 0xff027e1f, 0xd240510a, 0x057ee701, 0xac7d440c, 0x341db4eb,
+    0xd88c1e92, 0xc5053adf, 0x195a1bec, 0x26f25ae6, 0x3dcab436, 0x50a975ba, 0x59c17da0, 0x714f4969,
+    0x1c9f5203, 0x70ffdf05, 0xffefc2ae, 0xd7c39c88, 0x349c5abf, 0x33f6f401, 0xd210dc25, 0x6c36dc31,
+    0xeab2fd5b, 0xc2a4d30c, 0xbf8ca501, 0xf32611a0, 0x44d5dc41, 0x1da60aab, 0xdcdea565, 0xd955f4b3,
+    0x36cd3be9, 0x1ccd2695, 0x0b3672c4, 0xba34dd4c, 0x1b4cd23f, 0xcd9aea67, 0x25692694, 0xf658c8a4,
+    0xd8c559ed, 0xa8c551a3, 0x44c460d4, 0xd7840ab6, 0xe565aac0, 0x37f78e56, 0x0786e7fa, 0x63155a68,
+    0x851e8933, 0x9a1f58cc, 0x79ba79f4, 0xd50227c1, 0x145db607, 0x45fa26d2, 0x958cafca, 0xb55b5a15,
+    0xd2cc98e4, 0x3115afbf, 0x20d3fffc, 0x4714913d, 0x5998b4dd, 0x2a6bb986, 0x390e1143, 0xbb30be59,
+    0x2225888b, 0x2dca5952, 0x0b17bd71, 0x4a516753, 0x781b9526, 0x755cb8ed, 0xa63be8e8, 0x9bdd8b69,
+    0x404d837c, 0x7ffd7930, 0xf3e89b33, 0x0c4a6700, 0x8f61a02c, 0x839fa878, 0xff858a05, 0x6e82d23e,
+    0xf56b4bb4, 0x9a24f3b5, 0x3e8f1594, 0xa0f5a21d, 0xd60d9ca8, 0xbfd6ff0d, 0xcdf7ca75, 0x8b7750f4,
+    0x0494b4e9, 0x3ef6671f, 0x59442006, 0x69c0e751, 0xe355905d, 0x6c5f3f76, 0xd5c9dd18, 0xbadada6a,
+    0xea437ecf, 0x0cebf18b, 0x556a1689, 0x0e4baa85, 0x038973c8, 0x85356675, 0xea7fda3a, 0x08400d5f,
+    0xd9aa75ef, 0xccd49a3c, 0x90c6faed, 0x71a3e3e5, 0xd429dbf6, 0x3088bbbc, 0xeff14a91, 0x989a7ad8,
+    0x86089979, 0x8e4ea877, 0x9898ef3f, 0x1143b465, 0x6e674b04, 0xc2e1c172, 0x98ff15fe, 0x1ba9f802,
+    0x263f3f26, 0xfdc76d3e, 0xea51a553, 0x205469b3, 0x45293ab7, 0x7b63d2d0, 0xd0c4a58f, 0x7224d298,
+    0xff1f075a, 0xb40af809, 0xd42b747b, 0xddda74e3, 0x22dbc833, 0x7a7ac15a, 0x2423e5ce, 0x299b9af6,
+    0x45cafb63, 0x1493814f, 0xa6655ac4, 0x38220394, 0xbdc090cf, 0xc8bc9ab2, 0x77b62d18, 0xdcf5d32d,
+    0xe4572831, 0x8193fbad, 0xbbd09f9a, 0x01907f18, 0xb8837188, 0x64c01f65, 0x9fce947c, 0xe9957f06,
+    0xf7800c26, 0x717609dd, 0xb5c4dc46, 0xb57e80c6, 0xaa911247, 0xd0b2d799, 0x3ed8d604, 0x73b536ce,
+    0x6c5b4440, 0x2f8e1fb1, 0x1cc75095, 0xec167994, 0x5ec583f0, 0x51b55ec1, 0x64f05828, 0xad0430c6,
+    0xbfc026e1, 0x2262d04c, 0x265b4c1b, 0x1e574bf7, 0xac7ed1c4, 0x5909ad4d, 0xd43685a6, 0x26307531,
+    0x97c95c02, 0xc063e4aa, 0x5d89015a, 0x3507b223, 0xfe896e03, 0xd94a98aa, 0x1ceb1869, 0x494ce7c3,
+    0x0868ac50, 0xd5318942, 0x6000b3d5, 0x94f3057d, 0x70c44742, 0xa02f5453, 0xdea4b2f2, 0xd0dc7118,
+    0xee4f45db, 0x2f4af0a4, 0x78bd6bb4, 0xb749607d, 0x87a5f239, 0xa094ae3e, 0x9071c1dd, 0x61d68885,
+    0x864f7131, 0xcd50fb52, 0xf6115c47, 0xabe0a851, 0xbaafcf17, 0xbbb2a16a, 0xce71dc0e, 0x446faed6,
+    0xd51f3dac, 0x9264600b, 0x41c65423, 0x3c4e2bd5, 0x3a6c9a87, 0x51529b9e, 0x4e824f46, 0x14e30991,
+    0x35ddf0c2, 0x81e309db, 0xfd11f79c, 0xc299fb88, 0xe48728c1, 0x4e49ff08, 0x0a479d12, 0x4671f350,
+    0xbbdae00e, 0x7cb9cacf, 0x1b721045, 0xb7d54feb, 0x73533680, 0x90831ae9, 0x4755f5ae, 0xaa9e678e,
+    0x786d0a9a, 0x7dface9c, 0x37b56810, 0xb7f1335d, 0x72371ee7, 0xd12de197, 0x8779f2cd, 0x25eaaef2,
+    0xfaefa826, 0x187a246e, 0x591e5f84, 0x8ba1e378, 0x12170284, 0x5cbe7617, 0x0ba43ac4, 0x380b3df2,
+    0x092fbb97, 0xb0e2beb0, 0x90d11d65, 0x844ba02b, 0xd476b1a3, 0xc6597418, 0x3d77a449, 0xcee2bfab,
+    0x4d8f34d6, 0xf6ad5c48, 0xe8acd16e, 0x60c90884, 0xbcadf4bc, 0x1f4be5b9, 0xe558b338, 0x22f0d979,
+    0x7d24c793, 0xf9e35434, 0x09095e52, 0xf8140d49, 0xb4ef35c4, 0xdb834202, 0xa6c00380, 0xac4a13b0,
+    0xd9f7a3f2, 0x96b6f8b5, 0x8321c35b, 0xf6cffd88, 0x244f8f63, 0x3bd70d80, 0xf3cb8965, 0xd85370c2,
+    0x077e12f2, 0xd511977a, 0x6f1fefcd, 0x6bf02a1c, 0xad0bb34f, 0x83cab323, 0xd7ccd390, 0x40bd5746,
+    0xee741125, 0x6533cac5, 0xe1d2ef9e, 0x1bd2fb61, 0x90411c59, 0xef5769f7, 0x112cbdc6, 0x39371a23,
+    0x5864dc79, 0xaccb1b7c, 0x4300587b, 0x306fb6e9, 0xfbc967f0, 0xe4f772df, 0x61658215, 0x9c8db49e,
+    0x5733766b, 0x773add7b, 0x6e2d21ce, 0x80228d41, 0xf7c01613, 0x2bbb5719, 0x0452bae5, 0xdca66ac3,
+    0x58e53e9e, 0xf636941e, 0x839ff968, 0x9300b3f2, 0xee31d022, 0x6e7c5bfb, 0xba69dc6d, 0x791fd1ab,
+    0xe01b24be, 0xbd13760f, 0x1c9cec41, 0xe5bf8223, 0x2b45151e, 0x3757081e, 0x74c72288, 0x5cb346cc,
+    0x6816604e, 0x1eedfbb6, 0x91888e75, 0xcf9b5f3a, 0xc03ed4a6, 0xa873c8bd, 0x2933f0b4, 0x32cb4b0e,
+    0xf605c8c3, 0xafbe83cc, 0xc1375dc2, 0xce7a4ecb, 0x93f92322, 0xbc7ae926, 0x1815a2d8, 0x06efe967,
+    0xe761f2fe, 0xd626d037, 0xc737b8b2, 0x1735d4f5, 0x4e572c7b, 0xd6191b07, 0x5cc9d385, 0x80ff1f8e,
+    0x3f7a398b, 0xe5d3109f, 0x38b1fcb2, 0xe40fb784, 0x8c341cfa, 0x0c86d26f, 0xcf787368, 0x811ede17,
+    0x00000000,
+    0x162cd4f5, 0x5ca54cff, 0x5ee48056, 0xd0bd6143, 0x4beab63a, 0x51f3a3e2, 0x50fde9dd, 0x7859d066,
+    0x6ac8082e, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x40000d49,
+    0x00000000 }, /* 10**00000031966705155235760449347555633082022970865644980889304584797767266563806\
+                         60551439995003193449537015778467662777468320381844938727095591204153641140224 */
+  { 0x00000000,
+    0xd9eae9b3, 0xf49d1250, 0xaa44f583, 0xb624b795, 0x89b6f22d, 0x82140176, 0xbe443c5b, 0x192106b9,
+    0xb0fb9ec7, 0x480aa2f6, 0x258da6ef, 0x885b36e2, 0x4e999ee4, 0x3b79f1bb, 0xd4609c53, 0xf5e40dda,
+    0xfdc240b4, 0x15dc9ead, 0xa2078f71, 0x36b1b1f1, 0x46adf41e, 0x31009dd5, 0x1cf9c50f, 0x08f7084f,
+    0x4976fa4c, 0xaf3a5377, 0x2e96ab8f, 0x26e13aec, 0x9583aa95, 0x2a2bf654, 0xc0335cdc, 0x2b24ea57,
+    0xe4d1830a, 0x3ffe37b3, 0xb4a87d2c, 0x0d66bc43, 0x261fd962, 0xe9076398, 0xb2bf1d21, 0xc58764ca,
+    0x195ec6f6, 0x47d0c449, 0xfb25d455, 0x06576bd5, 0x25e14ec8, 0xd057e5ba, 0x8808e230, 0xf8b498cc,
+    0xa00f00bb, 0x0a5e4117, 0xe4fd3755, 0x4c1fbc80, 0x8252ca16, 0xe45d8d4d, 0x13f3a3f6, 0x638cd3ba,
+    0xc6c343de, 0x9948872c, 0xc285c037, 0xd461b6b3, 0xe77c41bb, 0x6dfb5810, 0x5e6d44d0, 0x234e735c,
+    0xe16bdac3, 0x21d11ee0, 0x5a6bee5d, 0xaa762dc1, 0x4ebbe22e, 0xf524cb88, 0x00ca42a5, 0x89bbfe15,
+    0x5b0c9e24, 0xfffb4862, 0x6db7a0c3, 0xec6c0bce, 0x2c2b2e31, 0x4a1f0b47, 0xb4afb571, 0x6abd84a1,
+    0x694e1e31, 0xc5adf70d, 0x5606c944, 0xa6c2403f, 0xd20bbde0, 0xa45698d8, 0xec5e5bf4, 0x9476d4e4,
+    0xb103b8a4, 0x6aa1d012, 0x41583e52, 0xd33916c7, 0x0c582563, 0xab2f28cf, 0xb7d0654e, 0x2cb94f53,
+    0xc3e8035d, 0x572127b5, 0x4682a0f1, 0x4773964e, 0xa9493f4e, 0x8904c61b, 0x7375258c, 0x1b34daba,
+    0x3f2f34ef, 0x187a206a, 0x4a7ddb33, 0x48e1155b, 0x578d9370, 0x2986b75d, 0x314f8c75, 0xbc9de284,
+    0xb585c66b, 0xc8caddce, 0x2f4162b3, 0xc7de6cee, 0x8b701b36, 0x3933da40, 0x31fef225, 0x9aa89ad2,
+    0x8915e460, 0x8cabb7ba, 0xf17d0865, 0x31bac272, 0x2c8218db, 0x2cb9acdb, 0x725a7b5b, 0x3ac59180,
+    0x0f28b02d, 0x1cf0aa03, 0x801d33ad, 0x8299b529, 0x6e595ed8, 0x00641887, 0xfb84d009, 0x054c3024,
+    0x6d166bf6, 0xae65f4a5, 0x4126e313, 0x60cea7e1, 0x42c0a92f, 0xb9f72e24, 0x32bc80da, 0x2eaaffc8,
+    0x03a9db86, 0xd3c9233d, 0x6febf43e, 0xd60d7626, 0xa3a35fe6, 0x071a47dd, 0x40c0deea, 0x24e6b54b,
+    0x7df2b543, 0x863a203d, 0x0b0fa247, 0xaca0b323, 0x741111b2, 0x41aa1f68, 0x7ed95057, 0xfeded380,
+    0x434d8e0c, 0x497271c3, 0xe61d53a8, 0x0967492b, 0x6b6f5dcb, 0x1f8006f7, 0x9b471e7b, 0xa6fe99ef,
+    0x84129c4a, 0x5a3fc578, 0x30f057a5, 0x8e68000d, 0x774cc636, 0x799f75ff, 0x0bb18431, 0x365a2aa8,
+    0x64ecda13, 0x48de9c27, 0x661195ed, 0x07e3afb5, 0x3c55fcc1, 0xcff4eb14, 0xd2284e8c, 0xc70513f3,
+    0x8a1e01d7, 0xaa11869d, 0xc36b8e53, 0xbfb68d67, 0xb1e15058, 0x035d448a, 0x422fb004, 0x60f78945,
+    0x877318c4, 0x650ab3a3, 0x57bf086a, 0x710a974e, 0x626e80d3, 0x3ecaac76, 0x6f1ed252, 0x8fdaf2e4,
+    0xdda2fe98, 0xc05e1a72, 0x0265833f, 0x605e9a41, 0x1fb119eb, 0x3eeb9c20, 0x1fec7f0f, 0x748d1594,
+    0xaa515433, 0xd0671e1b, 0xba572f58, 0xf6a8fe31, 0x38f8774c, 0xcb615e28, 0x2d352333, 0xacf6a75f,
+    0xdfa3e9db, 0x8f3918c7, 0xa07b0721, 0x581fc810, 0x8b54fbcc, 0xcdb136e0, 0x3f2debfc, 0xcf39cd85,
+    0x1fde3451, 0xd727f468, 0x31e3cf2c, 0xa523e126, 0x15532a71, 0x70e12737, 0x174ad7c9, 0xc2c79fa8,
+    0x6cbca2c3, 0x455f6c0c, 0x0556583c, 0xe784d998, 0x01fac910, 0xca780b7a, 0x241b9a52, 0xe3cf3c75,
+    0x87c35fe0, 0xc38ab19d, 0x3e09eafb, 0xdb169466, 0xf2d8e2e7, 0xb079ed17, 0xe34ce364, 0x969cc532,
+    0x35a3ad25, 0x28014499, 0xcabfe87c, 0x061bcd8d, 0x6517e6c5, 0xc4167760, 0xf6d28bbf, 0x4af2bc1b,
+    0x941a099a, 0x6471ebc3, 0x564ae16c, 0x54697ff3, 0xc4bad275, 0xd917f8a6, 0x0708f12a, 0x210ddc76,
+    0xd1d48584, 0x3aae84c9, 0x969d00c4, 0xde0bab34, 0xf6587cbf, 0x1111c8a7, 0x95758bf5, 0x9b025c36,
+    0x126f33f8, 0x828ae15c, 0xf8aa9a34, 0xdf09c317, 0xe2cb4ecd, 0x056d2d1d, 0x3e60768a, 0xcea03566,
+    0x87c2771c, 0xfd06ef55, 0xf57a09ce, 0x50360895, 0x534e560f, 0xaa32e74a, 0xd7ca957c, 0x1bb63617,
+    0xdd15059b, 0xbe18db43, 0x70ddd20c, 0x663c83fa, 0x42446b45, 0x4c674d21, 0x8e69b943, 0x61642c09,
+    0x6d04e7f9, 0x4274f5d0, 0xa0a98a12, 0x4e31997d, 0xa229261d, 0x9bbad079, 0x33dbec9e, 0x2d8c407a,
+    0xae15f3e6, 0xe0e1b17c, 0x38ed54d7, 0xe4b77976, 0x4958ecae, 0x066302cb, 0xc16c035d, 0x4c11d27b,
+    0x79655640, 0x1e41781e, 0xe47d4179, 0xc72fdd48, 0x5ba7f001, 0x3ce9f56b, 0xf64bae3e, 0x9d3574be,
+    0xd82a1659, 0xb804cd71, 0xa40be875, 0x13193072, 0x24cd54a9, 0x8a9d0533, 0x6adbed3f, 0xc1bd60d9,
+    0x93f597df, 0x9dfc0ccb, 0x5a123a7c, 0xce097805, 0xea474f7e, 0xf6933aca, 0xf6a0aba3, 0xe4d93630,
+    0xae376c7a, 0xe39c44e3, 0x021544ce, 0x1a658d4e, 0x6d689b1f, 0x0d51fd91, 0x444e984f, 0x367baeeb,
+    0x014198c4, 0x7f6fef4e, 0xb3bbd871, 0x4ff37439, 0xcbbb6e9f, 0x3991b505, 0xb01e4d54, 0xc70842e4,
+    0x43fbc2bc, 0xe4a375b5, 0x621da712, 0x6e03dfc8, 0xec30d9af, 0xad3c1e2e, 0xe8675a1d, 0x943e468e,
+    0x10984ea3, 0x66cc664a, 0x47b4d932, 0x2c8d87cf, 0x740f221b, 0x3790faaf, 0xa97d9a81, 0xa9cd2db8,
+    0x48ba09e5, 0x81b03473, 0x4b12f7a8, 0x8459e0eb, 0xc83da4f2, 0x52089609, 0x0bd58cc7, 0xfb420da5,
+    0x7ca60952, 0x19215f46, 0xdd173e03, 0x4e770501, 0x69d8173f, 0x38b23846, 0xc5d5f152, 0xa2cf6cf4,
+    0x92097464, 0x3b6781d9, 0x96c69947, 0x45cfd173, 0x96cfed21, 0xe935ffcc, 0xd7b4e1be, 0xafbb937b,
+    0xf699e1b5, 0x06777026, 0x041cfc5c, 0xec13b520, 0x916b28dd, 0xe531e03c, 0x2ad51033, 0xcf419034,
+    0xf65f7816, 0x93032789, 0x7c7c7783, 0x01ffd065, 0x80ab3af7, 0x5541a8fd, 0x3cecfb9c, 0xcd50f08d,
+    0xbf9c3cc3, 0x6c9b6898, 0x2c12598a, 0xed0e77f3, 0x55397e79, 0x7a54071f, 0xb079eb8c, 0x7213ed87,
+    0x61b0cd55, 0x8374f392, 0x66d64897, 0x3c75d595, 0xe810ac41, 0xe325ba59, 0xa84d07bb, 0x46d65cf3,
+    0x3ef2941e, 0x764b8955, 0xde801395, 0x4bd50f13, 0x420768d5, 0x10a6c137, 0x0dc90e9b, 0x92f09685,
+    0x76c5c3ca, 0xa5424375, 0x52a26c17, 0x28f89dc4, 0x1ff7cdb8, 0x82cde708, 0x88ca3cdb, 0x7f31d65b,
+    0x53727f2c, 0x6a479e30, 0x1a9716c9, 0x71d7b9a1, 0xdc5200e5, 0xb210f963, 0xca4deece, 0xf8ec5140,
+    0x7fba806d, 0x7c75f348, 0x9e3239ad, 0x028fccca, 0x86b017cd, 0x912db403, 0x08181f63, 0xe61db7d2,
+    0x3110aa7c, 0x2266f9d6, 0x0642be1a, 0x292a3523, 0xc7434cf9, 0x1a5d4c4f, 0x7a50e5d0, 0x0dd3f491,
+    0x5d748ddf, 0x41b92ae0, 0x044a4a80, 0x8315efe8, 0xfdb2099a, 0x51962642, 0x725c5b39, 0xf686cb48,
+    0x049d8cbe, 0x0ac63e24, 0x4e92c95c, 0x93fd8724, 0x8d2a7cb2, 0x3f278593, 0xe6b8f23c, 0x4bab5f12,
+    0xe7d45560, 0x4102bbe0, 0x093e9c25, 0x22726cec, 0x266475e6, 0x6a13cd68, 0x8895fbce, 0xd711dd56,
+    0x03837d01, 0xb1ef7817, 0xa20e7b36, 0xf0490577, 0x3dcb529b, 0x1c4dff6a, 0x6775ea20, 0x95062cbd,
+    0x607f9e75, 0x31df097e, 0xeda2c559, 0xde7516c8, 0x024048bc, 0x9ed54423, 0x9609800e, 0xe8719d56,
+    0xea5471ed, 0x08ae1f85, 0x761438f6, 0xd069f654, 0x87f435d9, 0xa7918e70, 0x6b748ca9, 0x546ab6f3,
+    0x44e408bf, 0xd863cf00, 0xac39f4f1, 0xf54f6d07, 0x4556e761, 0xc40f4366, 0x5e655045, 0xe9e629dc,
+    0x2662bd84, 0x4add0f1f, 0xe30149b0, 0x724e3e3f, 0x867f46b6, 0xf8c24f65, 0x1168d572, 0x94d20336,
+    0xee019925, 0xd9ba48ea, 0x53d331b2, 0xa461eab2, 0x259c518d, 0xaed945ef, 0x003757ed, 0xacfa5c36,
+    0x669bdd9a, 0x2098d7ad, 0x61e7efea, 0xfd6c2d08, 0xaefdfa27, 0x978ecda7, 0x7b591d89, 0xfaaf4ae0,
+    0xe7b1be74, 0xc3ca383d, 0xd5690b49, 0x07accec9, 0x950b0023, 0x69ee9b8a, 0x632dd64a, 0xed90b2df,
+    0xcc023423, 0xfb926e2f, 0x5a6150f7, 0xd022f0a1, 0xcea661da, 0x90ce8977, 0x97fc2fae, 0x2693ca39,
+    0x7f3b4d8b, 0x53d5b658, 0x70aeeabf, 0x51a6bf04, 0x62642787, 0xf605d15c, 0x08dc779a, 0x742ba08b,
+    0x27a91889, 0xabf6a30c, 0x83c00e41, 0x75f84566, 0xc7d88adf, 0xfb472143, 0x2464bbea, 0x43dbd467,
+    0x1a66470c, 0x6c5ef6a2, 0x88c61a98, 0x2d6da7cf, 0x9e5838f2, 0xd44e5ffa, 0xc8b4f4c2, 0x09641aee,
+    0x991d57b1, 0xf811134a, 0x374edf17, 0x6367cecf, 0x3efaa0e8, 0xc5920233, 0x043988c4, 0x3e8ffa32,
+    0x6d5cc139, 0x93e4fa70, 0x2b1a172e, 0xcf6393ec, 0x3509b28d, 0xcd038c97, 0xcc9f6eea, 0x81854aca,
+    0x3c58f4d3, 0x0f7a85a8, 0x07f2e5ec, 0xd6f6cba8, 0xd9057d49, 0x266ad6c0, 0x9f6d8d5d, 0x38718d54,
+    0x0dac2c5e, 0xe101b223, 0x94307e39, 0x09f48995, 0x6f3228fc, 0xc2b42e91, 0xf86fad29, 0x5d1833bb,
+    0xbb1352f1, 0x43922d79, 0x2adbd7f2, 0x5c2450d5, 0x7aee5c55, 0x99698b4e, 0xab5fc548, 0x9c520aab,
+    0x0608765d, 0xf42e7429, 0x301db970, 0x45089148, 0x93897c01, 0xe126b044, 0xbd37f335, 0xd4baf8a5,
+    0x2b9d28fa, 0x547515f9, 0x4d4626e0, 0x1c89f65d, 0x8d80d9c4, 0x65396d0f, 0xdbfe8ce6, 0x042e5c2a,
+    0xce299049, 0x96b162d2, 0x4559f649, 0xb019509b, 0x49f11819, 0xba765a34, 0xf8a5c922, 0xcf01f4a4,
+    0x6e8b9601, 0xc2dc3737, 0xb7337cd3, 0x4d8970f3, 0x107f7936, 0xbd4def60, 0xaaf2f465, 0xda3e149b,
+    0xadae4a77, 0x03d1af79, 0x8fb25b5d, 0x0657fb0d, 0x43e1f324, 0x5bee94f9, 0x6c108046, 0xd5235f7c,
+    0x9183c453, 0x61ca5778, 0x3bf40139, 0xa9d022bc, 0xfe6725f7, 0xd873f29c, 0x4dbf1010, 0xbaa59417,
+    0x3b6594ea, 0x2d6517d1, 0x30a6b27f, 0xd3810b50, 0x2ae2700b, 0xf394e39f, 0x91652428, 0x1c475232,
+    0x0286d66d, 0xd7a9a6fb, 0x79e0b4c3, 0x8fda4fae, 0x0143c33f, 0x6d893a70, 0xd8bc9dfe, 0xad62f5e6,
+    0x4ac5f780, 0xe65fecd7, 0x0fea0f64, 0xb7e840ba, 0xb17df16e, 0x0d920008, 0xafb4b33d, 0xa3209aef,
+    0x745baea3, 0x0c0345f7, 0x78bada87, 0xb9353d6f, 0x8343e495, 0xa8da95a5, 0x541295a5, 0xd33f51a3,
+    0xba40a313, 0x1a68b6a0, 0x4ca9ba8e, 0x56b54755, 0xc311dec4, 0x68e7fe48, 0x0ca5becd, 0xd2261a64,
+    0x4fb9c72e, 0xef1082c8, 0xf8290309, 0x11200562, 0x1e6afe62, 0x4072e744, 0x2e2cabc5, 0x78a19f3f,
+    0xb1b0fe5d, 0xa050fa50, 0xefd1d69d, 0x7b927299, 0x2698bab0, 0x59dbdc4f, 0x1f22911b, 0xf6d12749,
+    0xad761cf6, 0xc6f2897f, 0x002f9066, 0x17c6bbaf, 0x5b04c916, 0x4464d7b6, 0x992f858d, 0xb20f80cc,
+    0x75b8c635, 0x6ff32b78, 0x5b11d9a1, 0x774ec637, 0x2cbbfef4, 0x4e234183, 0x6c663d6b, 0x8084029b,
+    0xdd964a7e, 0xe914e64e, 0xff183328, 0xe4fbbf7a, 0xd66e350c, 0x79af2f81, 0x7539611e, 0xf9f07d9f,
+    0x00eeaf19, 0x0ef8fa7d, 0x47effe7e, 0x7a2c5e56, 0x65c366e8, 0x6b5c28e8, 0x88dfa7ff, 0x097f0e33,
+    0xb0db6cc5, 0x3d93b130, 0x47b19f17, 0xb9e68eed, 0x780b34fc, 0xa31fff3d, 0xe2c5829a, 0x63f0d242,
+    0x7de5bce4, 0x06434d2d, 0x45d32589, 0x24e3370b, 0x8bc897ce, 0xb07e5378, 0x44fc1d49, 0xf93578a0,
+    0xc16163d6, 0xca2bdd16, 0x3f2ba03a, 0xd985a7f1, 0x1b458989, 0xf085c724, 0x3202a0c3, 0x370425ee,
+    0xcc0b6b6a, 0x03c41f70, 0x06938cd1, 0x11437a4d, 0x8b0b013c, 0xe832e868, 0x771a5939, 0x5fa78119,
+    0x17c2eb00, 0x31a44e78, 0xd387b1d8, 0xe9f950da, 0xc6c1d7b8, 0x5c5181fd, 0xbf6684af, 0xf2b3a031,
+    0x4f0ac772, 0xb2902b35, 0x328b7bb3, 0xea6cc1e9, 0x8295e140, 0x4ee2601e, 0xea2a4707, 0xc19f90ed,
+    0x2ccc95c5, 0x09be42c2, 0x9e030a4a, 0x6f09dcec, 0xcbc13bc6, 0x4bbd5429, 0xfdd24459, 0x6ddf444a,
+    0x1b5e015c, 0x832c339c, 0x010118ca, 0x0ae88853, 0x42979a0e, 0x4eeb1812, 0x09f181bb, 0x0148096d,
+    0x7e34fe07, 0x85d8fad0, 0xbd26ae80, 0x2332f160, 0xb32cf93c, 0x06c526c1, 0x9b5e7c71, 0x9fe0821b,
+    0xc5f2c288, 0xd3ae2912, 0xe6625f2a, 0x2de83bcc, 0x35da4b69, 0xb967af61, 0x52ce160c, 0x554c42e1,
+    0xc662472b, 0x09f8498a, 0xa272ffd8, 0xfeef18da, 0x844d9c24, 0x2c951028, 0x6bec6944, 0xf6e98812,
+    0x49ad96cc, 0xeec43114, 0x8f3bffe2, 0x00bfd04a, 0xf7cea75d, 0x2cf23142, 0x779be1d9, 0xbfda2dd2,
+    0xe8a695b2, 0xdf871a93, 0x4b78b99d, 0xa07adfc9, 0x796f6db0, 0x9c70eba9, 0x0d56614e, 0x39cc70e3,
+    0xe3b2ac7b, 0xbcccf679, 0xc9098614, 0x950ed33d, 0x05b1f463, 0x6b856024, 0xc8d43ff5, 0xb7664418,
+    0x08020caa, 0xe3f51a26, 0x2512f47e, 0x1359873b, 0xfd947d0c, 0x2b576fff, 0x52f0e1bd, 0x7065017e,
+    0xe957fb86, 0xf7a54944, 0xbb9d8ab1, 0xbb8734af, 0x18e10691, 0xd66a7ed1, 0x3f00d0ff, 0xd97244f2,
+    0x8c5da7ab, 0xeae03e8b, 0x3cede207, 0xe9d36c7f, 0xb0ea204e, 0x0312bf81, 0x189d5d13, 0xe635eaf8,
+    0x0734c03d, 0x074589c6, 0x39592bd2, 0x4d385927, 0xcfeefe65, 0xb9f65c5d, 0x05d5d953, 0x0b06acf1,
+    0xd66f6019, 0xf9337840, 0x762c29bc, 0xfb359538, 0xa076014b, 0x22fabb38, 0x9a62f005, 0x36a4f647,
+    0x0b174cf5, 0xc0120bb2, 0xf2841e01, 0xe329e64a, 0xc6a9fa22, 0x6c2e33d4, 0x4d9c1faf, 0x61030b07,
+    0x0b418ad8, 0x123b4427, 0x72a61468, 0xe6320a56, 0xb3aa8f88, 0x792285aa, 0xb4ff27b8, 0xd18d0a94,
+    0x3307f5b0, 0x80cae5dd, 0xa6d5b18f, 0xc0fef334, 0xc889497c, 0x06a653b4, 0xbdf04cfc, 0x47160e34,
+    0x068111cc, 0xa96b0873, 0xb6637e67, 0xfe76c8ad, 0xe4822292, 0xcad1d81e, 0xe9af2763, 0xcb81359c,
+    0x50432425, 0x187e3e82, 0x238c8be3, 0xfe7e15cc, 0x5534c236, 0xd726eb44, 0xa226527f, 0x68f678fb,
+    0x0fe2e283, 0x45b668a8, 0x548ab7fc, 0x09881080, 0xcc0c640c, 0xfe84c61d, 0xf2668f81, 0xe7e9e12f,
+    0x47acceb7, 0x5dcd2c9d, 0x29ffb17f, 0xb0ca79f9, 0xd6a778f7, 0x072e9e04, 0x71dfa76a, 0xf6637dfd,
+    0x0dbb2bc9, 0xe39861b6, 0xe32c7148, 0xdfdcaff6, 0xdf27c2ca, 0x3788824a, 0x57b935cb, 0xd6183314,
+    0xa42668ea, 0x495a117c, 0xfb801fb5, 0x4165906f, 0x523e9b43, 0x1052ccd3, 0x0591ffe8, 0xb01aed3d,
+    0x18a8b2db, 0xd67d70b4, 0x2ed65e2f, 0x234bdae5, 0x101189db, 0xea7d8532, 0xe4ba06ed, 0x826c4cda,
+    0x573eac57, 0xa16f064d, 0x889abb60, 0x19783312, 0x7cdfd410, 0x8a583a32, 0xe31ee928, 0x6a3d72a2,
+    0xcdc378ba, 0xe52ef3f8, 0x1159ba5f, 0x56eda46d, 0x42eb2276, 0x9b03487d, 0x38c9ca3f, 0x808f1f08,
+    0x00000000,
+    0x8b166a7a, 0x2e52a67f, 0xaf72402b, 0x685eb0a1, 0x25f55b1d, 0xa8f9d1f1, 0x287ef4ee, 0x3c2ce833,
+    0xb5640417, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x400006a4,
+    0x00000000 }, /* 10**00000015983352577617880224673777816541011485432822490444652292398883633281903\
+                         30275719997501596724768507889233831388734160190922469363547795602076820570112 */
+  { 0x00000000,
+    0xd02ed5ac, 0xd5be99bd, 0xa6f2530a, 0x3b852b7b, 0x968fe3da, 0x41f1a43d, 0xf7e2159c, 0x16de2d45,
+    0x45f84334, 0x10a0ab5c, 0x0e9c5103, 0x3aa2b045, 0x6ff300d5, 0xa1af170c, 0x4aeea996, 0x28b7fe18,
+    0xb54ae31d, 0xf2c7dfd9, 0xbd30929c, 0xa8bc52e1, 0xb505cde5, 0x3a67d424, 0x242ed6aa, 0x8d045719,
+    0x1c9da73d, 0xaff62417, 0x82fd0cd7, 0x4012f654, 0xb627b072, 0x085bb286, 0x0cb16011, 0x3d427304,
+    0x85faa9ca, 0xd7549cd2, 0xf6e67a7e, 0x898a57e0, 0xf88e0224, 0x5090e128, 0x551a9feb, 0xf2ddcf03,
+    0x5a03fd12, 0x0e96fe76, 0x32bcdf62, 0x8436c53a, 0xcadcd64e, 0x28b01ac2, 0x131a1164, 0xa1692ce2,
+    0x5d10aa6a, 0x49935193, 0x26ff4a88, 0x36ccb1c0, 0xbf25554d, 0x9ab4790e, 0xfacc075c, 0xdffa356a,
+    0x4f2a860b, 0x74975454, 0x048d49e7, 0x9924ba56, 0x6d3ee589, 0xead7aaee, 0x2b067f73, 0x0794be2f,
+    0x37fbe7f1, 0x238de90d, 0xe82d94fc, 0x15869547, 0x175715cd, 0x46d42d61, 0xac6501cc, 0x4e65ae3e,
+    0xf4e8f242, 0x88c22e8d, 0xaef01e36, 0x334ffcbb, 0x64176d36, 0xd2e2e9e4, 0x64f2d0c7, 0x798992d6,
+    0x79e5dce7, 0x47addfbb, 0xa8615b82, 0x603977d8, 0x374593de, 0xcef55326, 0x97687899, 0x20fbf0d5,
+    0x7a3835b1, 0xbf0ed202, 0xba01f42d, 0x3646c045, 0x7b300557, 0xd6d5f8d4, 0x3f3fc92e, 0x49e0b90d,
+    0xc4aec572, 0xf217085f, 0xc0be869b, 0x5a5172ae, 0x87ee15ce, 0xc22010f3, 0x7c444350, 0x2abfbefa,
+    0x56aab7ad, 0xe9d6918d, 0x5cc6d7f2, 0x9053d834, 0x68e717eb, 0x9782fed4, 0x20309d37, 0x8e9d3a85,
+    0x9fe06d4d, 0xaab32817, 0x9df2fbaf, 0xbb680663, 0x1d720242, 0xc4f8d18b, 0xa6e39144, 0x2757ff43,
+    0xc738165f, 0x72cb4ab5, 0x74cf5864, 0x2ae86804, 0x4867654d, 0xccdff2cb, 0x1c322cd1, 0x0eadff85,
+    0xc5d39e33, 0xe35ac5cd, 0x7231c191, 0x0ea86bee, 0xa7934593, 0x951d27e0, 0x9ba0c9f7, 0xf30390af,
+    0xf2f19a32, 0xa4e8ecee, 0xc60fd2d2, 0x5c75fa5c, 0xff3f013c, 0xfcec9196, 0x74b3d813, 0xea71f693,
+    0xd7eb707b, 0x5d6fb2b6, 0x56082402, 0x526f9068, 0xf616f255, 0x3ce36900, 0x7b77397b, 0xc2ca7a2d,
+    0xe80fa76b, 0x5f512679, 0xe3b665b3, 0xa10567c2, 0x53e3c977, 0x143e783d, 0x8d45f54e, 0x1d367c18,
+    0x1efe1bb2, 0xe45319bd, 0xa3caf02f, 0xe271b986, 0x3004b50c, 0x72a200d3, 0xa5362638, 0xed7c5b4e,
+    0x0d5f210b, 0x3f44646c, 0x892da8d6, 0x8c197fe0, 0xb5c9ba48, 0x58de15ce, 0xa81e6728, 0xf1a89e6f,
+    0xee275f3f, 0xf8c92069, 0x6d9d3916, 0xfa93fc36, 0x2406c150, 0xbc4e0571, 0x52dd21e8, 0xadc9fe5f,
+    0xff78a3cd, 0x989f7f3f, 0xa7f68b4f, 0x03821e01, 0xfc02a69e, 0xbaee9c1e, 0xe319899e, 0xa9473c3f,
+    0x70e07fce, 0x8186f458, 0x6617fa40, 0x5094faa6, 0xb05810ac, 0x59aaa020, 0x2adb0de9, 0x57ff2d69,
+    0x09cb1fdf, 0x6cf18e76, 0xd175e3bf, 0xd08699bb, 0x03ca736f, 0x259e6035, 0x05a00585, 0xaa94e910,
+    0x5e99b824, 0x95edbd78, 0xc52a67cb, 0x076c7de8, 0x30a8899f, 0x5fe1ad97, 0xc4d858a6, 0x66495630,
+    0x779fbf39, 0x8be3c429, 0x491b9187, 0x8da4b21a, 0xd45ddeea, 0x19bb51c3, 0x31f3735f, 0x3d30d069,
+    0x3813952e, 0x69f148d7, 0xc8e2e738, 0xa2c32a9b, 0xc88f9586, 0x94653468, 0xf237e15f, 0x782078cb,
+    0x173d125a, 0xc8550ce9, 0xa66a7678, 0xf530eb80, 0x736a4ccc, 0x61cd4a19, 0x81969e36, 0x2c5b9ec7,
+    0x2c6c06b9, 0xa6eb883a, 0x583b1624, 0xe6c70b57, 0xc15bcf71, 0xbe38ec39, 0x0fe94891, 0x8783ee9c,
+    0xe7ecb640, 0xf3d78fae, 0xeaf3c2d0, 0x5aafde83, 0x06657fb5, 0xe673ef68, 0x69e1af37, 0x5aeaa341,
+    0xad728dcb, 0xdd90c1e3, 0x8786b177, 0x1d662c9e, 0x444cb365, 0x2bf6eebe, 0x20a93242, 0x8ed84773,
+    0x4cb0f9e3, 0xce6175f8, 0xc2fc3c90, 0xe8f0b22a, 0xa5e12088, 0x0162b531, 0x66b61cf7, 0xca148f13,
+    0x52be699c, 0x89391fc0, 0xc24ea08d, 0xb957f372, 0x7fa5b4ec, 0x297a36f0, 0xcdceb736, 0x4a5106c1,
+    0x0b37acab, 0xa815f137, 0xcbae96e8, 0x5a48218e, 0xfd8ad04c, 0xdd49569c, 0x0865b6da, 0xf2ce0e71,
+    0xda943938, 0xf909bdaa, 0x1bb07ca6, 0xa9e8f5ac, 0x29ab3d67, 0x5d7bb95a, 0x4a139f8b, 0x7b509d2e,
+    0xaae4233b, 0xede6a86f, 0xdeb2e18a, 0xe58ebfa2, 0xef511c00, 0x9f23776a, 0x09d0d72b, 0x6efa7657,
+    0xd7ac8ce2, 0xbb452ddb, 0x92d1f2d0, 0x29e0d47b, 0x17b40966, 0x82a72e57, 0xca7804fa, 0x928a9bf4,
+    0x65e2344c, 0x34ecea4b, 0xb815f3ca, 0xc54950e3, 0xbae8dca7, 0x70662558, 0xa7cbb9b3, 0xe78f12c2,
+    0xbfe474eb, 0x14dbe180, 0x110f6b41, 0xe35a257f, 0x49fe2d5c, 0x5ed50e97, 0xddeda58b, 0x2b6cca18,
+    0x820238ee, 0x1e0e8b3d, 0x3c3eeb46, 0xb0e8932a, 0xfc2f9047, 0x762955cc, 0x067e736c, 0xc46de6e2,
+    0xd1be6ba5, 0xa107e8fa, 0x0396ea8f, 0x1ae95135, 0xc19d4e65, 0xa65be728, 0x2458fbe5, 0xc9be6193,
+    0x8117b3f4, 0x6ff1cf5a, 0xb53b85d6, 0xaf5697cf, 0xe5d0bfbb, 0xc60de8d5, 0x11938411, 0x92091f26,
+    0x4c30b0c1, 0x47a88df7, 0x4988c842, 0xbd5a6be0, 0x6ed104de, 0xd13bba2f, 0x37d285e6, 0x6426227f,
+    0x431136e2, 0xad10a803, 0x9c4cc9ba, 0x3b94153c, 0xb897d1b9, 0x24449918, 0x2a1a6cb6, 0x4e4e1228,
+    0xe6f0a84e, 0x098da1f7, 0xc8e05e93, 0xe7b93040, 0x9605bb20, 0xa8c465bd, 0x4c958a13, 0x87071bf2,
+    0x1d9061cd, 0x64a02197, 0xe015229f, 0x8175d2ff, 0x9ec4ab2a, 0x8c2c4423, 0x962ec65e, 0x91d0810c,
+    0xbbc14af5, 0xb10187fd, 0xecd27334, 0x60b424a1, 0xff32f114, 0x4435da26, 0x608d6d94, 0xa0a05e4a,
+    0xbbfa38da, 0x85560662, 0xb0cfad45, 0xf029871a, 0xef7b9f68, 0x4044177c, 0xab41bcc9, 0x32e1082f,
+    0xefcc5475, 0xf0d6ab72, 0x90fb7ff2, 0xb72b4361, 0xae68d884, 0xec595d1a, 0x502d45a2, 0x04b1d806,
+    0x58112027, 0x10d8af25, 0x47a4bb9a, 0x8ca36d43, 0x6c094fe3, 0x7ad6bceb, 0x7a3c079a, 0x5fd08e61,
+    0x5c42f4a5, 0x0833a515, 0x3eedb730, 0x170756de, 0x2cbd95a6, 0xea9d7b7c, 0xe51513c9, 0x533472df,
+    0xf3ae81d1, 0x60f54029, 0x17c5014c, 0x6d40916a, 0xdb306f6d, 0xc6def782, 0x6c637837, 0x997dcd55,
+    0x6d61afbe, 0xa4249a16, 0x2ceaab29, 0x8e9b78aa, 0x49c24d4b, 0x3c404ffe, 0xecbf9135, 0xa0fa4c2a,
+    0xee46df06, 0xafc3a841, 0x01eca3ec, 0xf0ac0e5d, 0x297f410a, 0xa76db96c, 0x7a38c859, 0x570bcae9,
+    0x68bb5ac0, 0xa4b3636a, 0x23246695, 0x4d2d9faa, 0x6ead78cc, 0xf8a35f57, 0xe9e3833a, 0x86e59e96,
+    0x659f7603, 0x45ced353, 0x863d5aa2, 0xd239150f, 0x2b4e8e1e, 0x4dd96135, 0x1d6532ea, 0xce8f8e01,
+    0xc783ff22, 0x35a8c607, 0x9ba10e92, 0xf78936a3, 0xee178d71, 0xf29ffc92, 0x8f1c1a06, 0xcb2cf6df,
+    0xf7a57a45, 0xf31a3673, 0xa7b9d6ed, 0x2d056002, 0xa35f1cdf, 0x1ccc1b2e, 0x05755e05, 0x820f1313,
+    0x042e3d5a, 0xff99cc87, 0x4a173ceb, 0xa84f4a6d, 0xee61980d, 0xee9c5b56, 0x6d3cf9e6, 0xddaa438b,
+    0xa7b3014a, 0xd1f3cd1a, 0x334b3b45, 0x4e16b495, 0x9e008c3d, 0xec5cd493, 0xef5fb59e, 0xcf373bfc,
+    0x6f6f33e3, 0x044d1b70, 0x69a0bb39, 0x75e56b58, 0xe66138eb, 0x5d8ba386, 0x4cb07c05, 0x1f09c367,
+    0x238bebbc, 0x6211a125, 0xc4a0f375, 0x3518a58b, 0x2a66a333, 0xcb37269d, 0x4522a973, 0xd86285f5,
+    0x9fbe6af6, 0xdc18b973, 0xd997ff41, 0x7b59dd72, 0x3deb69ad, 0xf3f18584, 0xb271e1c8, 0x19324d27,
+    0xb9c10749, 0xb3d51093, 0x87d35c91, 0xf37b906c, 0x6746936d, 0xb6bed202, 0x83f7c6e2, 0x316ff4c7,
+    0xb65b1911, 0xe83e9721, 0x67fba983, 0x814e831b, 0xe64a6265, 0x0618a9d5, 0x736c5564, 0x523185ef,
+    0x6f261f56, 0x7079f776, 0xdc32e3a3, 0x37d6d43c, 0xd995f571, 0xe20dcaa0, 0x77d6e9ba, 0x87fcf06e,
+    0x1aae611d, 0xf42ad856, 0x6633ea55, 0x6e61be9d, 0x5ed9982f, 0xef323388, 0xc44435ef, 0xd86ca494,
+    0x3cf0de95, 0x12ce983d, 0x060fac03, 0xc6fb06f7, 0x53d2b914, 0x0b464d8f, 0x76e21222, 0x1142ed1e,
+    0xdf018e2a, 0x87d31106, 0x4ef59468, 0xe8499f8d, 0x7ef19bcc, 0x2c1f675d, 0x15abac5d, 0x2f229d79,
+    0x90aa1bbb, 0xb3865075, 0x8825560b, 0x37162c1b, 0x788f2530, 0xf6eecfdf, 0x69e518a0, 0x54aa1299,
+    0xf4a7f73b, 0x12b5dd72, 0x7cd99c8f, 0xfc67007f, 0x55c7d60e, 0xdb5b5da0, 0x617654d8, 0xaf121297,
+    0x6f53931b, 0xbc4a5c19, 0xee1f4ea4, 0xdc890ca7, 0x6d9cc02b, 0xbe2b0232, 0xef6ce246, 0x3755449f,
+    0x90d233e1, 0x308a674c, 0x030f9927, 0x171b1155, 0x0fe78cf0, 0x7b6b8a0a, 0xfad98baa, 0xd99b1872,
+    0x36f27fba, 0x33ff5c28, 0x8766bb81, 0x4bb9d40b, 0x9ab385ec, 0x8940301c, 0xda3c4ddc, 0x4ec65fad,
+    0x78a71af6, 0x5afd06e8, 0xf77f8d15, 0x9e8c7ceb, 0x0611943c, 0x1c2e2a83, 0x87dc3a39, 0x06576a09,
+    0x5eda780f, 0xe6b2b811, 0x5a2975ea, 0xccdafbf4, 0x41f7b14a, 0x8c675ff5, 0xf01b0bdc, 0x86404d32,
+    0x2a089865, 0xd0d37972, 0x680591ee, 0xe08af737, 0x521782e6, 0xafacc769, 0xefdc3ac0, 0x2a6041cf,
+    0xcc4b49ff, 0x5c92ef9c, 0x8ec7f7de, 0xd7e49036, 0x54470cd7, 0x641c24be, 0x8d3107ff, 0x44bfd8ce,
+    0x13a88279, 0xc1851414, 0xb1d25ee5, 0x56feec28, 0xd5bbec30, 0x21848bfd, 0x682b4e77, 0x8cda698c,
+    0xc8764803, 0x2e4dcd01, 0x0a76e424, 0xa6956db4, 0xfe18c209, 0x82b87d16, 0xf45dc76d, 0x8a282eda,
+    0x24e05f61, 0x40cc0a13, 0xf6f246e6, 0xd3b445e3, 0x6895c101, 0x7835346b, 0xd0e966eb, 0xc1bde545,
+    0xa951a6bf, 0x70bfef1b, 0xabf20f52, 0x0218e164, 0x687673a0, 0x17ffbfce, 0x5b33661b, 0xda6a101d,
+    0x0f77439e, 0x7098d2bd, 0xcb7bcb62, 0xa53e2ab9, 0x8870a9ba, 0x5f56ce28, 0x614f1f08, 0x3c22ace5,
+    0xadc74563, 0x30054e37, 0xd6fd8328, 0xbb4e018b, 0x9a810962, 0x00c0dd6a, 0x91d6a003, 0x627f5c22,
+    0xa04a5d17, 0x9e317551, 0xfa47b175, 0xb0f08002, 0x9e303c2b, 0x5f8b9448, 0x46c7d3b4, 0x3f3c74e4,
+    0x477d0f93, 0xd2ef3efd, 0x49d98c23, 0x2d5ad7a1, 0xae71661f, 0x6785370d, 0x38b307cf, 0x81ee4264,
+    0x5086fffa, 0x9769f30c, 0x778be6ce, 0x904e53f6, 0x1d9aea89, 0x41984daa, 0x507426ad, 0xf425e0b5,
+    0x4de2d2ce, 0x3740bd28, 0x513b0b42, 0x3db8649a, 0x96e99155, 0xdef3d327, 0x978482f2, 0xb76490d2,
+    0x7b56cfb2, 0x226be7d5, 0xf3993108, 0x9cf9877f, 0x1511f0ab, 0xf6476406, 0xcebc20f3, 0x4f9d4adf,
+    0xa6c4fb66, 0x728ab21e, 0x2692cb5f, 0xa3c20a31, 0x2a1742f3, 0x5e2b19f4, 0x9f891f8d, 0x2d23dc40,
+    0x33354271, 0xb03bb988, 0x5c86c292, 0x880e3876, 0xe25d4179, 0xf56853c3, 0x3e4f6db9, 0x074379e9,
+    0x9edf5f9f, 0x626d1e44, 0xcdf0e504, 0xe15f1673, 0x7799d8b7, 0xc9ccf1f2, 0xfc1a7798, 0x68ff80b2,
+    0xeee42c72, 0xbf862797, 0x62202c69, 0x51eee175, 0x5beb4056, 0x42a8d47e, 0x1782fb31, 0x27ad4492,
+    0x22f3b2c3, 0xf90071e2, 0xb12aa5ca, 0x2e0aeb00, 0xde01e4e6, 0x6234179f, 0x67492ae3, 0x044d0c2d,
+    0x2e44fef6, 0x5906db92, 0x9439ceb6, 0x23ef26b0, 0xcc415310, 0xdb3ae4c2, 0x799210d3, 0x31e5084b,
+    0x4f6d29f2, 0x7ff4a560, 0x89ee63d1, 0xb5556bbd, 0x4c71d7fc, 0x8bd3ce7c, 0xf9d120a0, 0xff869959,
+    0xf454717c, 0x6c84ba71, 0xd7db0877, 0x37489772, 0xfcf99d22, 0x82164c15, 0x6df356a2, 0x6331b8ac,
+    0x5078d540, 0x1aca4b7e, 0xeae313d9, 0x3d995c2d, 0x9594a9d1, 0x8cfb5343, 0x67ed14c3, 0x07a1ed46,
+    0xff9b8b01, 0x306dc5f4, 0x2f9959cc, 0x05176f6f, 0x32b6e2f1, 0x609d73fc, 0x92ca880b, 0xa8b28fa7,
+    0x54f344ea, 0xed02e354, 0xfe7a46f2, 0x47e2558e, 0xaf0fdc76, 0x006d7089, 0x4a9db6b0, 0x81f2ba8a,
+    0x99fb78af, 0x692b66c5, 0x130b10ac, 0x5610d1b6, 0x507cd1de, 0xd99cec4a, 0xe27742f5, 0x8deab269,
+    0xb71a3071, 0x18f43105, 0x2fff6129, 0xc8bc2553, 0x65899494, 0x6da1a238, 0x32e8091c, 0xf6675758,
+    0xe0d1e0fc, 0x82f13f08, 0xc7166932, 0x419c780f, 0xd80b37d0, 0xdf947500, 0x3bfa3e18, 0x728211da,
+    0x5c6e02fb, 0x6f83b8e9, 0x89df2998, 0xaac3a816, 0x76968ce2, 0xbb3a0986, 0x1de8c2f1, 0xa1111d38,
+    0x141d6991, 0x8942202f, 0xc5359755, 0xa5ae719c, 0x4d67c7bc, 0x0d1fcc05, 0x31fdf137, 0x6cb0b3e4,
+    0x2e83c2f9, 0x51844933, 0x27b8f249, 0xb7155822, 0xb1e02ed4, 0x919b2621, 0x8d431ea7, 0x608986a9,
+    0x05523ae9, 0x402152d1, 0x520b8444, 0xae7c1784, 0x33e10c05, 0x37971637, 0x19953e7e, 0xc729972d,
+    0x42b8bd3c, 0xeccfec5e, 0x02403c71, 0x75353c7d, 0xd637fcf3, 0x44ac2f24, 0xf21fa4d5, 0x9ab162d2,
+    0x1dc494b8, 0xb3ca0c3b, 0x69a1b2b3, 0x7b36b49c, 0xcb551582, 0x3ae73036, 0x5439868a, 0x071f1000,
+    0xd83cc5eb, 0x62d91749, 0x7dafbf8d, 0xa4743921, 0xdfc8ed9c, 0xa3ec4514, 0x09e50f63, 0x54d432b5,
+    0x85330d6f, 0x80e7cd0f, 0xc9336e9e, 0xea982b64, 0x53d70846, 0xd50ae339, 0x70abc6f7, 0xc0ec7b91,
+    0x115a2a29, 0xf008bb6f, 0x736c04c5, 0x9a0feeeb, 0x415b1aed, 0xb05a8741, 0xc75f5250, 0x55be0c66,
+    0x9cb4dbbe, 0x88a0cc1a, 0x4efcb471, 0xed767f53, 0xc9917472, 0xc24d7bfe, 0x3100709d, 0x95a590e0,
+    0x40bb1f99, 0x94f161c7, 0x8ac4889f, 0x97c2754f, 0x59487842, 0x078bc651, 0xc32f3677, 0xcd26c1a7,
+    0x0682f28f, 0xff704f72, 0xacdfab44, 0x0339eacf, 0x933ddae9, 0x81e98174, 0x4a8a9a23, 0xbe44a6da,
+    0xfed3ff22, 0xc0f66902, 0x47b59f70, 0x368f1350, 0x44f45e30, 0x810b8032, 0x5377114e, 0x19d7c9f4,
+    0x28d51e15, 0x12c3b7e7, 0x3477a269, 0x73cf990e, 0x363367c8, 0x9bc9d7ed, 0xfd91054f, 0xe9425c69,
+    0x8dc7d497, 0xa74c4251, 0x4119a948, 0x3f787f55, 0x25fb5836, 0xe5f5af35, 0xa7788e64, 0x176fa305,
+    0x3ada3307, 0x2549e3cf, 0xa05a665a, 0x521cc02a, 0x8c350902, 0x890e2668, 0xff386f39, 0x742a81e3,
+    0x1ca0e43f, 0xb3f58c04, 0x6479f2df, 0xc26fd5be, 0xb5c54c65, 0x583d5cb2, 0x2409bf82, 0x407fbc65,
+    0xd1335b1e, 0x2f371c86, 0x0ecf1cba, 0x63db9fc4, 0x917a5c08, 0x56e31abf, 0xb6f4c0be, 0x11c68dfb,
+    0x25f1de1d, 0x053ebf6d, 0xb2471706, 0x0257fadf, 0x13eafb4d, 0xd109e69e, 0xa4b32233, 0xe2a8dc57,
+    0xff8c8357, 0x92553fab, 0x49914ff5, 0xe63c73e7, 0x293dbfdb, 0x57f1a735, 0xaab84316, 0x79c42f63,
+    0x25d0c76b, 0x30e3f019, 0xfe4b31ec, 0x71186d62, 0xcbf355ae, 0xd2165e26, 0xf01192aa, 0xb56a0aae,
+    0x00000000,
+    0xc58b353c, 0x9729533f, 0xd7b92015, 0xb42f5850, 0x92faad8e, 0x547ce8f8, 0x943f7a77, 0x9e167419,
+    0xdab2020b, 0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x40000352,
+    0x00000000 }, /* 10**00000007991676288808940112336888908270505742716411245222326146199441816640951\
+                         65137859998750798362384253944616915694367080095461234681773897801038410285056 */
+  { 0x00000000,
+    0x83ee6aee, 0xbdc441bd, 0x3f012b74, 0xa460848d, 0x8a0973f6, 0xa00a8600, 0x022e6d8d, 0x712050c1,
+    0x5f67c10e, 0x207b5b94, 0x4443efaa, 0x9d85a232, 0x42a9c2e0, 0x0d221d88, 0x0bb7392a, 0xe1b3d7b6,
+    0x0d0d388f, 0x5e66ff15, 0xb5b5219a, 0xaab606bb, 0xe56bfef4, 0x081f2b1d, 0xbcac90f4, 0x302827cc,
+    0xbf88dfd8, 0x7c991239, 0x54f709f5, 0x9d01562e, 0x997b5bd8, 0x724b910f, 0x9f1e118d, 0x6c2028f8,
+    0x9c5f9cfb, 0x7ee446bb, 0x372ba468, 0x525fed39, 0xcdd40019, 0xa07baafb, 0xdd803453, 0xd8989892,
+    0x0b1c0021, 0x3a3aba4d, 0x019556e1, 0x57dee1c3, 0xf682da52, 0x6c1fa404, 0x310dc7bb, 0x7545a60c,
+    0xbfd2443e, 0x9d1c51a9, 0xfaee5b95, 0x67fde612, 0x40caca1a, 0xe567b3a2, 0x5ab6c889, 0x02ad03c9,
+    0xdcc3335f, 0x13d9c2ed, 0xa8adeeea, 0x3a63cef8, 0xaea0de25, 0x91083580, 0xe5978ad0, 0x554190e8,
+    0x0c8e1e32, 0x7ffeba59, 0xf2f6f07f, 0x36981a1f, 0x51425a99, 0x374db891, 0x15da7613, 0xe0b3ed6a,
+    0x976200db, 0x77dfc9e7, 0xf2c27421, 0x3568a19b, 0xfe7a50ff, 0xcf5b07a5, 0x0a1c39bf, 0xbd6b4da1,
+    0x7d02d460, 0x08adeb71, 0xe450d697, 0x3721b5ba, 0x144c7582, 0xaba4d2d0, 0xb9c42589, 0x67d82f73,
+    0x1a5a4f08, 0x59834db8, 0x8ba28727, 0x3981ac1f, 0xb4d12f63, 0xb8fc6027, 0xe637ac8c, 0x6d3bd78d,
+    0x6116cf2e, 0xf6359354, 0xe35b9509, 0x26f92850, 0x3fe6fd0c, 0x5d9e0446, 0x6fdb628e, 0xf2cc4aff,
+    0x69dc9d0f, 0x1c8470ee, 0xc5e9c86b, 0x071fddb6, 0x041b7dc1, 0x9faaadcd, 0x2f59690c, 0xce2f71fa,
+    0x41939ea7, 0x56346834, 0x8e69c176, 0xcf98475d, 0xe6d2c2ad, 0x8b0592c7, 0xdbd7e5c1, 0x3a83b748,
+    0x4110eb54, 0x8944aaed, 0xb3654cda, 0xc0851e1e, 0xd8577c8f, 0x92b45465, 0x72ea4fde, 0x9eb4cb39,
+    0xfb99325f, 0x2ddbe564, 0xbc48ecee, 0xd5c1bbc1, 0x363c5605, 0x39fea8f8, 0xf2708903, 0xcd229f37,
+    0x4780d979, 0xc5393c16, 0x311bd67e, 0x9ecd039d, 0xe858ca4d, 0x3ecae332, 0xa3f1d30a, 0x3d2ca6e6,
+    0xb2f40753, 0x35ad974e, 0xe31431c5, 0x2fbe15ed, 0x27e4096f, 0x4e1399c3, 0x787f948d, 0x5fcd8588,
+    0xf8d8a34a, 0x57089774, 0x7f7bc45d, 0x7e5a5353, 0xeb0f60e2, 0x0e5b8d40, 0x02221fda, 0xcebc6731,
+    0x97d9cacd, 0xc5a582fe, 0x466c8df0, 0x84cfb30a, 0x6423fd8c, 0x551e106b, 0xc8510f7b, 0x8047a9f2,
+    0x2c2b03ed, 0x133822ab, 0x9ca6ec6b, 0x8b37027d, 0x143e2f38, 0xad3266c2, 0x8ee80695, 0xb8830017,
+    0xc3590263, 0x762884fc, 0xadcae29f, 0x53e0c217, 0x04532882, 0x8640b968, 0xd3f92863, 0x82d9343c,
+    0xb4d03ff3, 0x8888ac3b, 0x74a37e40, 0x06d983c9, 0x37c3cff5, 0xe0aa7b31, 0xbf9b27b6, 0xf98f945b,
+    0xd58939d2, 0x50ac6a40, 0xa371bbe5, 0x3bac5a6e, 0x64c72fb6, 0x5bc2975c, 0x97f8bc32, 0xfec5716a,
+    0x2433df97, 0xb5130e8e, 0x83a34846, 0x56cc2547, 0xca778abc, 0x3641b97e, 0x9766d156, 0xf030895c,
+    0xf5ea5ba2, 0x7797a7b3, 0x94acfe29, 0x804a3692, 0x3a161054, 0x10508ddc, 0xce7ea436, 0xc06cf1d2,
+    0x9ffa2321, 0x08ac9202, 0x9bcd6268, 0x12f99aa9, 0xb7b9347e, 0x01ab794a, 0x2fd334c6, 0x7bc825d1,
+    0x5c7fe4a0, 0x97d23adc, 0xd6708d2b, 0x4b9dc2f9, 0x5563ec31, 0x5cd2e978, 0xff97f4d3, 0xabf66366,
+    0xbea60b48, 0xb133f867, 0xd04b087c, 0x2ef36c7a, 0x2f2e668d, 0x40035463, 0xd41adffe, 0x84f30dde,
+    0x45bf9d75, 0x3f24f708, 0xe719bca8, 0x533bb58a, 0x27ef7ee0, 0x643cf9c0, 0xb583cfc9, 0x2e555674,
+    0x6637b407, 0xa5c7d9d4, 0xc3cef3ac, 0xc35956c7, 0x87050a8c, 0x0818f5d2, 0x92c8f082, 0xaa00a317,
+    0x2ef6697f, 0xe1110a8b, 0x04a43394, 0x81119fc8, 0x65b2931b, 0xddb05f1d, 0x119b1fef, 0xec9f60b8,
+    0x04fb9d0c, 0x3f1476b1, 0x78c0c48c, 0x61b91e23, 0xbe361920, 0xb06ec08e, 0x27304a23, 0x5f67b215,
+    0xf2e82618, 0xbb0cd45d, 0xd4ca1c57, 0x7c451916, 0x6be1f94f, 0x22172628, 0x69210583, 0x15fd19e2,
+    0x6cd6ac1e, 0x9eba9f86, 0xa9367694, 0x5ec145bb, 0xcc6bb4a0, 0xccee11cf, 0xde91bb9d, 0xabf5f6d4,
+    0x15506593, 0x03d8cc1c, 0x94bfd65f, 0x21aa0930, 0x1f25a44e, 0xe2542dba, 0x2cd70ba6, 0xf708b52a,
+    0xae1ee749, 0x1e8bbb3c, 0xd83186c5, 0x4817faaa, 0x43e2c080, 0xfe2be7c2, 0x4d5b6144, 0xf497fe5c,
+    0xdb426917, 0x85fdb231, 0xb5844474, 0x0403b325, 0x9725c5e3, 0xe7591fd3, 0x6686525f, 0x885595a9,
+    0x091967f8, 0x7d0a8bef, 0xeda6e670, 0x84effd85, 0xe52a7706, 0x9147437c, 0xc9a72262, 0xcf8f6141,
+    0xb59f2946, 0xcd757708, 0x22ba00cf, 0xd7d2db0c, 0xc26939cf, 0x96d2739b, 0xc43466b2, 0x3ea965b0,
+    0xa5fd1edd, 0x3fa13e19, 0xd8787161, 0xbbd8217f, 0x63ac8819, 0x1567bce4, 0x482e97aa, 0x460add39,
+    0xe510dd98, 0x54041a6a, 0x4448a9b1, 0xe8edeb23, 0x653c58f4, 0x8f57360c, 0x515d904b, 0xb35ab3e7,
+    0x51888b8b, 0x04ff53a5, 0x75d898c8, 0x892ad9e9, 0xac25b677, 0xe4f0a709, 0x20547aa2, 0xaae22cd7,
+    0x6e069611, 0x872bb758, 0x5940fecb, 0x4bb587a3, 0xec8bb4fb, 0xb33fcf2f, 0x3a66a7d0, 0x240cb92d,
+    0x3e7a1a24, 0x959d391e, 0x9e2015c3, 0x2cf19510, 0x9a8fc3c6, 0x7d548374, 0xb4b9b327, 0x5ed23fac,
+    0x388e7069, 0x4ca02d91, 0x1d28af8c, 0x55e1288f, 0xb89fe180, 0x97443e72, 0x24d49715, 0xc843b796,
+    0xb053bdc7, 0xaa08cf8e, 0xf41dbe44, 0x359c0ed4, 0xf8152eaa, 0x1199696d, 0x37d66041, 0xe09a2b6c,
+    0x3e26c9cf, 0x6505417a, 0x0e4f2c78, 0x6cbca6b1, 0x82eb6a16, 0x6f02085d, 0x618f2787, 0xa7e88edf,
+    0xa21bf5fe, 0x84f70c4c, 0x425789fe, 0xa0f61926, 0xbf58645d, 0xf120629c, 0xaf34126e, 0xcba11772,
+    0xf682b1d6, 0x33f03d8c, 0xdac362db, 0x6efd6c5e, 0xaccf923b, 0xf62e0946, 0x8e527dfd, 0x635de3e6,
+    0xf141e3e3, 0x83439fa4, 0x1d935dba, 0x9dafead1, 0x16383803, 0x03bcb0d9, 0xf773c05a, 0x0c3d2cb4,
+    0x345a0a7f, 0xca9f1f03, 0xf8f67fa5, 0xf8eefaf4, 0x1a9924b3, 0x22e8f96e, 0xd0df4aaa, 0x28173171,
+    0x3b746380, 0xd637a3fc, 0xbe8e9aaa, 0xa410f545, 0x8cf347f4, 0x556b7338, 0xddd4831e, 0x12bc5e34,
+    0xc2e62422, 0x8eb6596e, 0x11a7251b, 0x793607c2, 0xd0007675, 0xa9169242, 0xf532f012, 0x3fb66745,
+    0x336e7d6f, 0xb4251d66, 0xd2143c30, 0x5293370c, 0xd2761183, 0x850290fb, 0xbdbe0aa2, 0x3b90a5f9,
+    0xe64311f7, 0x3d545d97, 0xeb7679fc, 0x26498a3e, 0xd9cbef7d, 0x59eabe80, 0x43a1ec0a, 0x0e11f117,
+    0x2357d275, 0xdc5854a3, 0x8a9b34e6, 0xd77be93c, 0x0234ad0d, 0x24492048, 0xa2aefb64, 0x7c091416,
+    0x3aeff36a, 0x590fdf0f, 0x439b3239, 0xcf8f828b, 0x315afcc3, 0x2965d5d4, 0x0a2fa968, 0x388d5b22,
+    0x94b8d2ec, 0xbf245496, 0x426caf81, 0xd21dda4b, 0x5a9a70f5, 0x9af4eac2, 0xf0a6720b, 0xab667a62,
+    0xed8ba9e4, 0x3db73141, 0x7446e98d, 0x9f9d1b76, 0xeb4659ac, 0x1948d8e4, 0xb4ea5e05, 0xd546e9a1,
+    0xf8152ab0, 0x57dc51ed, 0x84f63dac, 0x007a3ec5, 0xd4f95ad9, 0x2ad5b100, 0x5d6e6edb, 0xc06307ad,
+    0x62126986, 0xf396a13f, 0x64061749, 0x3c56a344, 0x03dae3c1, 0x6d48c71c, 0xa5a4e69f, 0x93cde016,
+    0xaf42b1f1, 0xd0cf41d5, 0x4f0dd27a, 0xf64e82a0, 0xd8692d96, 0x8f888222, 0x5e77bdd9, 0xa6e88859,
+    0xb5b94dcc, 0x5c1bb707, 0x85a6be97, 0xa270160e, 0x60bde976, 0xfcd7f7dc, 0x34a2f7f6, 0x69dc62ca,
+    0x98706060, 0x8427e064, 0x4f6eb86c, 0x0325b507, 0x5c87abf1, 0x5061fcff, 0xeb1de453, 0x029344a9,
+    0xfedd3167, 0xc8ab0997, 0x4a722d88, 0xc3fc06d0, 0x9cfd017e, 0xa2dce5ce, 0x01fb1001, 0x7147e1b9,
+    0x5e695346, 0x3f9b2037, 0x25cf5c99, 0x1b6c373d, 0x1bb4668b, 0xa0389fbe, 0x5d986492, 0x4a4ba58b,
+    0x40d9dd91, 0xc7b40f5d, 0x007afcd5, 0x81c52873, 0x79f0e0fd, 0xfeaaf28a, 0xe309a202, 0xaa42eaf7,
+    0xf606958a, 0x3b7af650, 0x451d0bd9, 0x263213a4, 0x2eda7a89, 0xe1cf8f00, 0xa54f8023, 0xd1fa277d,
+    0xb67fc206, 0xf89a0315, 0xc1735881, 0xde7dbd81, 0x3deb6d31, 0xe2cc8aed, 0x53e4957f, 0x87e015bb,
+    0xf9436f16, 0xaa7959cb, 0xec0cba38, 0x9a7d4094, 0x2b5c2a19, 0x24083654, 0xcf406f53, 0xcc981af3,
+    0xe37db0a4, 0xbc2ffc92, 0x0b2fb93f, 0xc2fcb72a, 0x04abeefb, 0x2ced47fb, 0x5cf26c12, 0x046c08b3,
+    0x73a3eb98, 0x59a06e8e, 0x87188126, 0x8c7ce23a, 0xa1caa478, 0xa2709a1b, 0xe75dde20, 0xcf28a438,
+    0xc38f9bc8, 0x01a168d2, 0xc98d75c6, 0xab7a175d, 0xdd5e679c, 0xaeb1e305, 0x6be46547, 0xe52e4400,
+    0x0d39f324, 0xf8b38336, 0x7d2d613c, 0x7a9471a1, 0x90566ff8, 0xf78a8832, 0x1bd47878, 0xde3a7cf1,
+    0x402d2a85, 0x69470882, 0x1bbe7e46, 0x94ee72ff, 0x4fcbdc4c, 0x8ef1d43b, 0x34f9c73f, 0x8945f818,
+    0x5b192655, 0x41a0253f, 0x96f68f32, 0x307fed49, 0xa0a8de3d, 0x1c888b9a, 0x89776099, 0xdf597206,
+    0xafa0ec80, 0x85dd4476, 0xa38e0019, 0x737b37f4, 0x5123a9f3, 0xd521a4f9, 0xbead6319, 0xe8b9f7a0,
+    0x33f82631, 0xc4138fb7, 0xa4a3d88c, 0xb6ab0b70, 0xe7799622, 0x4d5fa164, 0xad36fcb9, 0x02d3b726,
+    0xf00cb81d, 0xd2eccf68, 0x3f91d758, 0xef46b2cb, 0x5c484929, 0x4f6bfc4a, 0x8c71bfe5, 0x3fccb8c2,
+    0x2290cd4d, 0x3330c5ca, 0xf61e9018, 0x41f7bde5, 0x52064da4, 0x538395cc, 0x4e751139, 0x29b2e888,
+    0x6a85fcd1, 0x30556af6, 0x95a47d3f, 0xc4bb41bb, 0x47e36af6, 0x36f58000, 0x042e3d72, 0x07069a4a,
+    0x06e34b1e, 0x55578f3c, 0x1cc04e06, 0x875a4567, 0xa356d473, 0x0b6c6989, 0x1a727d53, 0x936d0c5c,
+    0xb07fc162, 0x25fc69ff, 0x8bfbce10, 0x33b3aef0, 0x0db251fe, 0xf0b2374b, 0xc0361067, 0x8a215289,
+    0xd1aa4228, 0xe69b5677, 0xf9fa13bd, 0x50a29528, 0x3b4cafec, 0x118d8419, 0x871d39b9, 0x1b944a4e,
+    0x56807c9e, 0xcb922e8f, 0xea6c532c, 0xbe5dcae3, 0x8cd65d96, 0x37210819, 0x8aa0ffcd, 0x0cf5e450,
+    0xcb8feeb5, 0xc957f0fe, 0x7ff17da0, 0x6e50e2c3, 0xf65e2521, 0x713063f8, 0x9d863664, 0xd75709ba,
+    0x7a2b1804, 0xd81d5eb6, 0x10cd1bf8, 0x27375791, 0x4bf25a4e, 0x9e518cc5, 0x1579d413, 0xa33d3657,
+    0xf86e5339, 0x84670da5, 0x017f2976, 0xc84797f2, 0xf0203d49, 0x374d6aca, 0x9e47bd17, 0x86e6aca9,
+    0x3448cabc, 0x60ecf607, 0xa83df2fb, 0xaf984ae1, 0x0733d333, 0x47caeff4, 0x1cf79bef, 0x3633f363,
+    0xe32c2102, 0x88de0c08, 0x0fe196b0, 0x9f0f1253, 0x910880a0, 0x489a2f08, 0x06ac7c67, 0x910e782e,
+    0x0e51cb2d, 0x18e2ef24, 0x4d5e5e31, 0xa349ebdf, 0xf7053c2d, 0x6a4afe8d, 0x9629a18c, 0xf1957905,
+    0x776993b7, 0x11084546, 0x2a02bd7b, 0x58eb67cb, 0x195cecb4, 0xf466f8f3, 0x5d767bbe, 0x44818c16,
+    0x9d3aa41d, 0x9d9a9f13, 0x11ecc280, 0xda02792c, 0xfccef48a, 0x2a70131c, 0x8b7f7563, 0x949a7202,
+    0x0b0dbcf4, 0x988de042, 0x08fbd074, 0x6a951383, 0xde6e7b70, 0xf6e6c9cc, 0xe264c52f, 0xc8ad7243,
+    0x19be8067, 0x20a17024, 0x6e3d21c8, 0xc4972c3c, 0xcac9a00c, 0xe5e163aa, 0xda6c8f0b, 0xec45e58c,
+    0xb2b28b01, 0x8ec045ff, 0xe4f93d8b, 0x7b5e70ae, 0x79bf03b0, 0xb07b24b2, 0xc883f349, 0x95b01825,
+    0x69de047f, 0x960924a5, 0x7004fc1c, 0x44f9b62b, 0xb379392e, 0xe9b4f65c, 0x3d2fa059, 0x197526cc,
+    0xb26488ce, 0x55f4b37b, 0x2b6a6ead, 0xec1d1fc5, 0x0abe2c60, 0xe57574bf, 0xe60b0ea6, 0x352abe9a,
+    0x0ede17b0, 0x474392c9, 0x336c8416, 0x40416990, 0x8c822b62, 0x6b4a7894, 0x54cceb4d, 0x7ee0c427,
+    0xd0897525, 0xca66bd5a, 0xe5130f62, 0xab249a80, 0x9005c7c1, 0xfc01198f, 0x9efb5670, 0xd7a585e2,
+    0x228647d3, 0xc695cdda, 0x22d90de0, 0x9c45e6b6, 0x59e8448d, 0x89040efd, 0xe950cbb7, 0xd2a9aa2e,
+    0x080c4662, 0x2c91b018, 0x37c63a63, 0xdb31961b, 0x59e696c1, 0x7c229ce4, 0xd2cfa180, 0x96dd928f,
+    0x6feacf7e, 0x8744c6ea, 0x58677412, 0xe0ad7a84, 0xe8b131f1, 0x9d307cb4, 0xe15bc49d, 0x3d2b3ab3,
+    0x390b48d7, 0xa140fd39, 0xecb5ece4, 0x811f3500, 0x639a1900, 0x08ea73d6, 0xcf58a2ee, 0x0eda0777,
+    0xe13d4062, 0x3f4fabef, 0xb97ca76c, 0x343de418, 0x8862417f, 0x412b98da, 0x05053bf2, 0xef034af6,
+    0xf2e819d1, 0xfebf80b4, 0x50822d55, 0x6557b2ee, 0x00d4534e, 0x551163c9, 0xf8114025, 0xba105194,
+    0xd191f135, 0xca279184, 0x8595268f, 0xe29df20f, 0xd9c49ac5, 0x15b0e8e9, 0xcdf0784c, 0x7bc900ec,
+    0x7f52f936, 0x0b248418, 0xd601c89b, 0xaff71f6f, 0x449c0d7e, 0x2ff6d89d, 0xc076779a, 0x0377173a,
+    0xfc5f7305, 0xf0889a67, 0x0d3b173b, 0x2f8d1475, 0xb671802c, 0xacd65917, 0x5ccc4053, 0x040800e9,
+    0x1c4c293c, 0xf7e688df, 0x9d67934d, 0x31432e81, 0x7d767437, 0xb75282f4, 0xed3a473f, 0x8d83fa73,
+    0x6a590716, 0x1776aebe, 0xffa3b214, 0x243bdccf, 0x80ebaa01, 0x25718cb7, 0xb829901d, 0xb17850c4,
+    0x151dcb88, 0x1244be9e, 0x4e9a1bac, 0xb4ba3de0, 0x816b5efe, 0x59ef9ef4, 0x43e73de1, 0xb27033da,
+    0x6c66afcf, 0xc983612c, 0xe784af00, 0x2b40508a, 0x0fffce63, 0x48a85c1b, 0xaaf46de0, 0x5e6cebf4,
+    0xc77cab14, 0x8fba6646, 0x45580d10, 0x25250c44, 0x7988d0e8, 0xaca5b157, 0x2be2441a, 0xec3e9ae3,
+    0x505b4dd9, 0x30e34892, 0x4b6b1398, 0xffc8743d, 0xa9ba7c36, 0xf0e165e6, 0x6bef1e12, 0xb5fc8e28,
+    0xb06d8cbd, 0x11d38740, 0x2815a58f, 0xfd1f53cd, 0x4e7e1901, 0x0aeb6889, 0x755ee076, 0x1a6d2371,
+    0x6af9d139, 0xcb0a38f8, 0x9c22c84c, 0xe00a32a7, 0x1e149103, 0xd867035c, 0x22e83f6c, 0x4ea209e8,
+    0x7505d90b, 0xc02088f1, 0x7698bfab, 0x62964a54, 0x297da687, 0xbe1f5c2a, 0x413ed67d, 0xcce376a1,
+    0xaee0ca6b, 0xf5bdb82d, 0x7b1c8457, 0xc9172940, 0x91e0d42e, 0xa68fee16, 0x3d65e01e, 0xc702798f,
+    0xc9c32f1b, 0x6fbe3b24, 0x014ef0fc, 0xb9473bab, 0x1fcca3b4, 0x356139d5, 0x605d2ba8, 0x8f4b58f2,
+    0x2af034f3, 0x96afa786, 0xb36466ff, 0x8383adb8, 0xf5d150bc, 0xd6d99142, 0x6bc0dea8, 0x63fb432e,
+    0x0e09ef29, 0xfe32d0ef, 0xa8e74e78, 0x064ae953, 0x5d12d41b, 0xc2d6269b, 0xee339eb8, 0x3ec4de0e,
+    0xe55405ac, 0x5bfb40f5, 0xd899e3d3, 0x78b77c2e, 0x2a3cc997, 0x620ed80d, 0x66da17e2, 0x6964692c,
+    0x48017df7, 0xb3e544ee, 0x2821f463, 0x2331742d, 0x36dc706d, 0xc5abefd5, 0xbcf5ca3b, 0xd7811070,
+    0x00000000,
+    0xe2c59a9d, 0xcb94a99f, 0x6bdc900a, 0x5a17ac28, 0x497d56c7, 0xaa3e747c, 0xca1fbd3b, 0xcf0b3a0c,
+    0x6d590105, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x400001a9,
+    0x00000000 }, /* 10**00000003995838144404470056168444454135252871358205622611163073099720908320475\
+                         82568929999375399181192126972308457847183540047730617340886948900519205142528 */
+  { 0x00000000,
+    0xc912c9f9, 0x1d0f6c12, 0x347156fd, 0x36e95540, 0xac2241c0, 0xb504d325, 0x02989460, 0xd9e6fcf1,
+    0xced4d28d, 0x835d4fdd, 0x0e491d6f, 0x26ea39b0, 0x65f53f60, 0x35486d88, 0xee333738, 0x46017116,
+    0xa45b4989, 0x3065a9ba, 0x122bebea, 0xf78b8170, 0x27d28b94, 0xe0409e19, 0x1f51d4ec, 0x21484849,
+    0x4e42c29e, 0x528daa45, 0x72276309, 0xafea7110, 0xcc2b1bac, 0xa58be578, 0x79b4caad, 0x1c3e3d58,
+    0x7ba30ece, 0x3c9cc22f, 0xb9c6e520, 0x8d17b546, 0x2446b371, 0x902e70e4, 0x55db7777, 0x2d37895e,
+    0xe39dcfb1, 0xeb69cea9, 0x4bc44d30, 0x5b306cba, 0xdcffbacc, 0x8ec8fbb3, 0x2744dc2d, 0xb6e7d84a,
+    0x172dac05, 0x5e23157e, 0x679c57f0, 0x5bd7b570, 0x26306995, 0x66bf9914, 0xb61b49aa, 0x43f822b4,
+    0x6a11b248, 0x97da7081, 0x0f462ea6, 0x6b7c6b6e, 0x106ce086, 0x182ba291, 0x7dee266a, 0x79779ce6,
+    0xae38dd80, 0x6310f844, 0x92e6ac34, 0xcbdef3d9, 0x052eeda7, 0x76d2fbd5, 0x073ae347, 0x5752ab44,
+    0x3e711297, 0x7e3a6158, 0x5660605b, 0x851e14c0, 0xe35a68f5, 0x17fb9733, 0x58b8c9a4, 0xc4f4c45f,
+    0x3a75be04, 0x06b327dd, 0x24e90001, 0xdc7d9054, 0xb04eb195, 0x6e6107d9, 0x3cd0995b, 0x555e9e83,
+    0x7e1ca5fb, 0xd380bdac, 0xb198af5e, 0x5c16922c, 0x48ef78e6, 0xe4244770, 0x49e92101, 0xf31af4f1,
+    0x2d6214cc, 0x497dfebf, 0xc9a6978c, 0x7879ba91, 0xe5cd4ba5, 0x5dfc5118, 0xb0a2fd24, 0xdd371d71,
+    0x93b18f06, 0x6b3af733, 0x22909212, 0x8d13c8e1, 0xb32321df, 0x3e04b18c, 0x92a1efa7, 0xfe233514,
+    0x95da8842, 0x85ca645e, 0x85819060, 0x04b5b7f1, 0x30b5d6c2, 0x9615ca0e, 0x47403728, 0xe0d8e8d0,
+    0x2a2800fa, 0x53fe19a4, 0x66cd3962, 0xffcc65f9, 0x9b55a7e0, 0xa4c4879d, 0xf17efbf3, 0xec726a98,
+    0x4dbb8a01, 0xd3f7b2dd, 0x14bea3c8, 0x7895cd14, 0x78ff608d, 0x1f48b0e7, 0x8f0a1ecf, 0x135ad265,
+    0x60b55a40, 0xdc0103eb, 0x02d657a4, 0x13e195fb, 0x73f05fc9, 0xa5fb9d6f, 0x95feb9f4, 0xd59c3307,
+    0x19e344a7, 0xe26bbb7d, 0x96535ec5, 0x5cb05ebd, 0xef2a1984, 0x0da78caf, 0x13b706ea, 0xddf4dd7e,
+    0x8f0030a9, 0x62cf09e0, 0x975d0828, 0x65d54bc1, 0x3049e5a4, 0x5d3bbee9, 0xca69fb80, 0x6a4af7cc,
+    0x1852f12c, 0x3e0297ec, 0x5b4b97a0, 0xb72f8fdd, 0xef4eda65, 0x680c3d03, 0x93507305, 0x64d1a2f2,
+    0xeae14186, 0xf40fd8bc, 0xf85e23e6, 0x338e8c16, 0xd576b5dc, 0x15c824e7, 0x3fd341ef, 0xfd8dca89,
+    0xd73ada44, 0x45932f14, 0x94d342db, 0xe2223398, 0x8c3aa48c, 0x579a0c31, 0xcaa06218, 0x4eaebd84,
+    0xd4a6962f, 0xc4cb875e, 0x285c7607, 0x3eb4a671, 0x61efb512, 0x26d4f6f1, 0xb7303eee, 0xf9a74d71,
+    0x7a87eaed, 0xa9843f12, 0x7d666ff4, 0x00fc4ef1, 0x32135cbe, 0x8df6eb12, 0xb4725958, 0x354a257d,
+    0xbf55ca00, 0x40883681, 0xfc5bdb4c, 0x18774d7d, 0x64b4af5a, 0xd0f1b2bc, 0x92a1a096, 0x2afe0ae0,
+    0x7ba44ccf, 0xcf2f84ca, 0xcb7a921d, 0x2cc5a523, 0x5a44bbd8, 0xd29583f4, 0x231739f5, 0x2ec4dc1a,
+    0x1ad2c43b, 0x561feccc, 0x57faa87b, 0x6e69b85b, 0xd146dd7a, 0xb8a5f2d0, 0xfe50bebd, 0xab42fd68,
+    0x144c2da2, 0xba6bc6e8, 0xc67510a2, 0x97d9507f, 0xc42199dd, 0xb693036f, 0x953ce5da, 0x66d8ed94,
+    0x6494487d, 0x8a649a0b, 0xc0172bdd, 0x9df278d7, 0xfc05ef8a, 0x9f932ba4, 0x2e404cc8, 0x006378c6,
+    0x5ffe7bfc, 0xa3b65e54, 0x0d7a502c, 0xc2a120a7, 0x7e98565b, 0x216020d8, 0x8d71ebd7, 0xbafe19e3,
+    0xe6239592, 0x19780a95, 0xcb649a58, 0x9e160e06, 0x58b2d218, 0xcd21f4c0, 0x4b8d2c8c, 0x9ed1b8dc,
+    0x9c0d9701, 0xa2d89a10, 0xb73cbc2e, 0xed0189c6, 0x56bc77ca, 0x9d3dab48, 0xb9d508a0, 0xec2b0a95,
+    0x1b36d860, 0x026cc59f, 0xd695cd16, 0x9dd03168, 0xb598b968, 0x123a52a4, 0x19ff1523, 0xfd75061d,
+    0xa0667588, 0xec6e6cce, 0xecf820c1, 0xe0f6149f, 0x23987487, 0x55ffd201, 0xae872765, 0xe00fb920,
+    0x1d9037f0, 0xc8c5214c, 0x20f3c2c2, 0x967bdab9, 0xa6fb336e, 0x308cc1a8, 0x3d8a24f7, 0x8b24b71e,
+    0x664c768f, 0x49fe5f9f, 0x63eb8848, 0x6dee8a4b, 0xe7d8660e, 0x02e24066, 0xd6ca617f, 0x3486b8a5,
+    0x23ca0fe5, 0x4bf4c812, 0xb315a988, 0x32662294, 0x83e4390c, 0xad4034c1, 0x514c2cb1, 0xb463146b,
+    0x700959d1, 0x030f3561, 0x9559ed76, 0xb2e2cfa7, 0x922ac2f3, 0xe9b71df1, 0x01a2135c, 0xd99d5573,
+    0xb0b6697b, 0x1cf4c605, 0xf9bd27a0, 0xe59addd4, 0x96e65590, 0xab70f4b2, 0x2b3bc782, 0x71b0e0de,
+    0x5ec265ed, 0x9b7b7dd7, 0x4596a5d1, 0x4efac6bb, 0xe6103f04, 0x1324c2d4, 0x1d3e70f2, 0xb2672e67,
+    0x4d4ef12c, 0x17321f93, 0x7a769d21, 0xee21841e, 0x85fe981b, 0x394e9152, 0x56207452, 0x76b73f50,
+    0x4cfdd8ce, 0x7094068f, 0xd8ac016e, 0x0f1fd00c, 0xfd2eeb65, 0x0e01f8d9, 0xa3ed79af, 0xb3d43fff,
+    0xd45b74c8, 0x415b8981, 0x5ee25c6d, 0xb511fc58, 0x94c56adc, 0xb7820431, 0xdbd26a28, 0x04e5ff68,
+    0x9e13891f, 0xe03f6583, 0xf44c8b7e, 0x23a67e3d, 0x67aa80d4, 0x3144e761, 0x8542694d, 0x1ee52909,
+    0x1bc56ee9, 0x6c67fffd, 0x1d2f5745, 0xb0698687, 0xb8430407, 0x54d21b08, 0x8c43f4ab, 0x45137b08,
+    0xf10ec7ca, 0x8b2fe470, 0xa6d528bc, 0xd866e063, 0xfe184ddf, 0x39c73464, 0xa1432792, 0xc4b8dfa5,
+    0xc2110bf8, 0x626b6008, 0x5e74c0d5, 0x04a9b5d7, 0xfca6ba7a, 0xa43a1d4d, 0x45e734bf, 0x9356d9ed,
+    0xe775159a, 0x84f34299, 0x2d9168b1, 0x80606882, 0x7807ae81, 0x446ec188, 0xf1346631, 0x9c8cabee,
+    0x60fdf07b, 0x9d297824, 0x9328581a, 0xc53379b9, 0x5b380112, 0x7f4657a2, 0xd16e38e7, 0xf988af39,
+    0x67d59e9b, 0x6944e9ad, 0x7e9c54d3, 0x77260707, 0xd527d18a, 0x426064e9, 0x8ef979b5, 0x29808aee,
+    0xba8f3abd, 0x61dbbe42, 0x7173b239, 0x55f4182d, 0xf0c680a1, 0x56ee116e, 0x9e9ade54, 0xd754d959,
+    0x1bbdc8fe, 0x9c43e3bb, 0xfb77e37d, 0xf01f7898, 0x999286a2, 0xdc6b04cb, 0x026f0def, 0x4b9abb19,
+    0x3bbd28e1, 0x582170ff, 0x724f9464, 0x01169324, 0xf8b04342, 0x6db51028, 0x3c52f0b0, 0x2cdb2f5e,
+    0xd05ad19b, 0xb9319e30, 0x3f7b6dd7, 0x00f941da, 0x3371c33d, 0x2d51814b, 0xb90bd51c, 0x8efbd62b,
+    0x28044a4d, 0x0048be1b, 0x7a664847, 0x2e8b0c07, 0x4262bfd1, 0x76a3dee3, 0x2e481e1a, 0x86625618,
+    0x10160740, 0xaa74bbee, 0x276b7b0e, 0x8c58803c, 0x433978c0, 0x683fe65a, 0xc22db67f, 0xf2efe3bf,
+    0x04b8216f, 0xdd2a1dc8, 0xd27bbfa6, 0xf53b450c, 0xecdc53a0, 0x9eac5212, 0x7da43249, 0x366acc7b,
+    0x6db67bcd, 0x8c6cffe5, 0xf67710d8, 0x0b018021, 0x3a73e1e6, 0xbeff8cbf, 0x9f7e1593, 0xe924f594,
+    0xe79b2f48, 0x27deaba9, 0xeb0cea82, 0x4b7b606a, 0x0b172a3a, 0xafd5475f, 0x6176025d, 0x0037d1cc,
+    0x99accc03, 0xfc8e32b7, 0x1503db73, 0xfb3d95a3, 0xf1fb068c, 0x12f65c34, 0xd26a0318, 0xa37be7c4,
+    0xe31c0fd8, 0xc17523cc, 0x836da452, 0x2fc66099, 0xc5dd9e09, 0x87a51c2d, 0x8b792383, 0xdc9f48bb,
+    0xa8bb90a6, 0xc4c2589a, 0x4c413a4c, 0xb0206647, 0xfde20bd3, 0x3d3e8460, 0x4fa58710, 0x78fad7ec,
+    0xfc4a3d47, 0x1d93401f, 0xd65184b6, 0x8306a8e1, 0xcd407a75, 0xa3524682, 0xdb5c7e11, 0xf650a2a6,
+    0xbd8e35d6, 0x88db26ed, 0x48f43c5f, 0xf856e700, 0x51b2f1d4, 0xfdf66837, 0x682f33d7, 0x7ea0f172,
+    0x5c41234d, 0x933471b1, 0x80aa9496, 0x7b740ca1, 0x55a031ba, 0xabb488e6, 0xa5a800fd, 0xe82bb9d4,
+    0x1b73903e, 0xab848b54, 0xade83d1d, 0xd3b25ad3, 0xd58b4fc0, 0x2f1d54e9, 0xfa110490, 0x705f8ce5,
+    0xcbb7519e, 0x5eed2454, 0x1467dce8, 0xfae21b4a, 0x3121917a, 0xdc6f6942, 0xa5701aad, 0x12bdc6c2,
+    0x67f24285, 0x333d6f21, 0x51724727, 0x3547355e, 0xbcac270c, 0xf60ace4a, 0xcd6e0c37, 0x9c65d0ed,
+    0xe52ca214, 0xb996e763, 0xacec18f7, 0x14e19932, 0x21f111d5, 0x344ae746, 0xe4b13a31, 0x5a561827,
+    0xff6b0ec5, 0xcb4bc655, 0x2c8c51ad, 0x3f7c2f00, 0xc66e31a3, 0x75437997, 0x78a3c72b, 0xb36e62ee,
+    0xd336aed3, 0xe49defae, 0xd5e4ff6d, 0x0c484cbb, 0x9203595d, 0x7b1316cf, 0x405e76db, 0x5a2bc639,
+    0xfe64b2a7, 0x33506b78, 0xd9050229, 0x953aab55, 0xeb1e17b9, 0x43350a75, 0xec4e5263, 0x0c732c18,
+    0xc0e15ca9, 0xf3e5ca9f, 0x86a87ff3, 0x2a3c8c86, 0x564db0fa, 0x3705c983, 0x8bf74cae, 0x1f95fb81,
+    0x9a613e30, 0xe59fd703, 0xc86fa5a3, 0xba40b980, 0x8b5d60ad, 0x24e1b0a9, 0xd432fa50, 0x534b1eea,
+    0x64455123, 0x695cc111, 0x532d96fd, 0x88eac0c7, 0xeac04ef5, 0xfdf5433c, 0xd2f513c8, 0x2bcf3784,
+    0xbe562b38, 0x47f195df, 0x1cab3b0f, 0x34f685de, 0xa1825123, 0x400d4c17, 0xf11fa33d, 0x7d66c582,
+    0x76cb0dcc, 0xac573685, 0x14f33986, 0xa94e3fef, 0x98e729d8, 0x85b53d92, 0x706daafc, 0xb79f12d6,
+    0x745cac31, 0x9db4ed44, 0x57c5235e, 0x9fc7c580, 0x3fd6ee20, 0x57417649, 0x244b091e, 0xbc013bbf,
+    0x1e967b3b, 0xb545625f, 0x53026333, 0xec915c5f, 0x74407b53, 0xdd54a6bf, 0x7354d865, 0x1f496f69,
+    0xa0d1c687, 0x14122a31, 0x63dc330e, 0x1868b052, 0x461349f6, 0x409fd7b2, 0xd62a1178, 0xa3345dae,
+    0x7439a624, 0x1785ec1d, 0xe7dab647, 0x651de2b1, 0xd6d80331, 0xef3ad416, 0x420222bb, 0x10a39976,
+    0xdfdea5cc, 0x58037007, 0xe3490a6b, 0xf1cf2c9f, 0x70b3f38d, 0xc0f0d5f5, 0x8ab7e963, 0xd05a1113,
+    0x599f0407, 0x57b64ded, 0x5558b708, 0x7e0609d7, 0x10078feb, 0x59e63eca, 0x2e457b60, 0x622d24f9,
+    0x3e917b17, 0xa368a838, 0xf4093d44, 0x6159ae7e, 0x4bdb2b45, 0xf078dfb6, 0xeea45973, 0x46addd1e,
+    0xbbcdd264, 0x0ff1952f, 0x4d0a213b, 0xbc28e652, 0x90ae3fe3, 0xdc43490b, 0x0a3a6121, 0x3e0ccb86,
+    0x4c0b3582, 0xbfa18ddf, 0xadfab538, 0x4d628c2d, 0x1f276a07, 0x7287a89c, 0x2a6b5280, 0x53601922,
+    0xce7b5dc4, 0xacf3d24c, 0x32ef4f6c, 0x3a503cc5, 0xeda1b13e, 0xf49e6f8b, 0xb7776a7e, 0xbb128f6f,
+    0xeba11040, 0x0852551d, 0x0a0c7743, 0xc2a3038d, 0x9ec36e07, 0x4061808d, 0x27e9245c, 0x7a744b76,
+    0xad523115, 0x878893f7, 0x814c881f, 0xb4dc7d69, 0x554857a4, 0x1d35c8df, 0xdc739205, 0x400f6e2c,
+    0x88b98c2f, 0xcd7ae5f1, 0x05465f4c, 0x15f80e80, 0x1d87ae53, 0xb644e2bd, 0x4d78a254, 0x662db767,
+    0xe6d89e8c, 0x09d4c614, 0xea49c1d7, 0xe3c43fed, 0xe1476717, 0x903c2f8a, 0xdeb3920b, 0x07c7da08,
+    0x6383c3d7, 0xbc6c2d19, 0x43108aea, 0x2f6b5f68, 0x43fcb183, 0x26ab1d83, 0x78ac9423, 0x5927e31f,
+    0xb356e6fe, 0xd1cd45aa, 0x2927dd10, 0x83cfa23d, 0x4e36684b, 0x894aecc6, 0xf07b598a, 0x333b9ca6,
+    0x2af683cf, 0x46f88867, 0x68605c57, 0xebabde8c, 0x2a9c8cd8, 0xf5697b67, 0x7a8f31ee, 0x8d3dabfd,
+    0x31f14bdc, 0x071473e9, 0x7d84348c, 0x5d41ed3c, 0x1b5e4ac8, 0x986b3bdd, 0x2b580cd8, 0x3aa9908d,
+    0x58c13cbf, 0x01ed11dd, 0x32052dbb, 0x08b3d59c, 0xea7d5ac8, 0x97fab1d1, 0x8828c2ff, 0x0b6ad7cc,
+    0x28573d56, 0x6b2379dc, 0xb93c41d8, 0xf8cb8db2, 0x1ccc6f1f, 0xc0983732, 0x26417695, 0xaa18ee5c,
+    0x1b561796, 0xb28d3c4b, 0x4ca1c39b, 0x1ac65976, 0xc0d64cf9, 0xc570fdd4, 0x91f5cfbc, 0x526a20c9,
+    0xd7e23e1f, 0xb1511041, 0xf1eeb93a, 0x6ec4f1ee, 0x0182c442, 0x9956bac0, 0x6672a886, 0xae6b2402,
+    0x55f5438d, 0xa44ce4ad, 0x083be5d1, 0x7819c7a2, 0xcd6da791, 0x2605d523, 0x373eb031, 0xc6b94e22,
+    0xcadc6e29, 0x0105ba27, 0x437a7fa8, 0x6a079bd4, 0xd1a59ea4, 0x153cef10, 0x5c608373, 0xf69ac277,
+    0x1d6d8c48, 0x7176d59d, 0x4563a124, 0x8c87c227, 0x9e1646d2, 0x32c23b05, 0x32b8189f, 0x72870076,
+    0x9285db14, 0x43270367, 0x65e91869, 0xba92e095, 0xe794c36b, 0xcb299423, 0xbce39cf7, 0xcdfeeee1,
+    0xcb622f1d, 0x27dca94d, 0x2b84fc72, 0x473db9c8, 0xf0877521, 0xa623c488, 0xe1e82559, 0x04378c90,
+    0xff2924c8, 0xb164a60a, 0x006026df, 0x79896c43, 0xb20d3d94, 0x579f3626, 0x0ea7b439, 0x0db7b131,
+    0x7e98b237, 0xb66153ec, 0x6c98c6e3, 0xf9192706, 0x4cfb7463, 0x280539eb, 0xabb5c6d0, 0xa84dcfa8,
+    0xbf89e538, 0xe260844f, 0xd9ea5a4a, 0x1a4f3562, 0xa75977c6, 0xc5c7f801, 0x47d2f926, 0xe7efed9c,
+    0x930c8fc6, 0x7ba9756f, 0x056ed034, 0x6e2fd541, 0xfa04fb91, 0xc497bd94, 0xfd31a57c, 0x300dd4be,
+    0xae319e5e, 0x8bfb2ac3, 0x1b6d3bd0, 0xc3e3e6b7, 0x7444d80d, 0x1ed5eece, 0x8821266e, 0x231af102,
+    0x20cceb8d, 0x75594e7f, 0x6167c0e9, 0x1a4ea077, 0xed244a91, 0xbd01746b, 0x01dae1e1, 0x85610c5a,
+    0x9c2ac4bd, 0xfe07b582, 0xb2e4e43d, 0xf8a5d890, 0x76009ffa, 0xc56702d4, 0x2dd72b83, 0x58d0ec8c,
+    0x519510d8, 0xa4908b73, 0xbd25bfd5, 0xc1493698, 0xf442b34d, 0x2b604fd7, 0x2ee266bb, 0x3cced176,
+    0xa4370753, 0x59c98cf3, 0xbcedc809, 0x4e62a5fc, 0xd2c8e645, 0xe407f93e, 0x80e9b085, 0x2f1c77a3,
+    0x41b3c85b, 0x33f3a125, 0x3c28b087, 0x2b9b85ea, 0xb7759113, 0x907acc4a, 0x4e9c9eab, 0x5add3844,
+    0xe6146f33, 0x81a01b73, 0xa7af3d59, 0xa562ea86, 0xf360b549, 0x7c43fe1f, 0x1834ea8c, 0x777fa8c4,
+    0x84d6b068, 0x12ea7dab, 0x10a2942b, 0x161faa5a, 0x7659c00f, 0x68fb6248, 0xc2d54b63, 0xbbb1dbe3,
+    0x4c0f6c10, 0x2b7d57fe, 0x3f3e99f5, 0x398d6830, 0xa34a93d6, 0xa94a41f6, 0x1abd7548, 0xfe7afb63,
+    0x57be6294, 0xaf6bf549, 0x6209f6f6, 0x8ca6d3c6, 0x7d4bcd90, 0x244e9aaa, 0x909ee441, 0x76d7790f,
+    0xb3b13cfb, 0x8d654f7b, 0xc7f9f8a9, 0x8cc94587, 0x85a705ec, 0x01f401b9, 0x1ca8b90d, 0x4c8fb557,
+    0x502e47c0, 0xe9c4ed32, 0xd370ed1f, 0xe1d84183, 0x1ccf54f5, 0x4f66f066, 0xe39dc53c, 0xbbdfce73,
+    0x753662ef, 0x755ba330, 0x3911cd3c, 0x3341dbe6, 0x5562bf6f, 0x99b23b21, 0x6da09c03, 0xb76d0e22,
+    0x2eacf691, 0x06a0989e, 0x075519cb, 0x9c3c6f9c, 0xbd51b73c, 0xaae68b8f, 0x439023ae, 0xd1474943,
+    0x2fa6493d, 0x0403b811, 0x6261b3f3, 0xc49e7dde, 0x2997f703, 0xc6a6ac4d, 0xf75291e0, 0xb6f56b37,
+    0x8467221a, 0x67d91570, 0xd76dfde2, 0x865fbba1, 0x2fccd547, 0x3c416eaf, 0xb20a20ce, 0xa95e70a2,
+    0x9d905e45, 0x66be690a, 0xa734640e, 0x43ec8705, 0xd8816263, 0xe6fdec8c, 0x6e5b323e, 0xa615feb6,
+    0x00000000,
+    0xf162cd4e, 0x65ca54cf, 0x35ee4805, 0xad0bd614, 0x24beab63, 0xd51f3a3e, 0x650fde9d, 0xe7859d06,
+    0xb6ac8082, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x400000d4,
+    0x00000000 }, /* 10**00000001997919072202235028084222227067626435679102811305581536549860454160237\
+                         91284464999687699590596063486154228923591770023865308670443474450259602571264 */
+  { 0x00000000,
+    0xd65eb2e9, 0xd29460bf, 0x978770a2, 0x032572a1, 0x18a206c1, 0xf6f5a2d2, 0x88367c37, 0x834634c7,
+    0xa8ace244, 0x8bfbaff2, 0x5d2ab00f, 0x15bb6065, 0x292d1e55, 0x7e9b0acd, 0xb880a5cd, 0x5bd43b73,
+    0xf9c0de42, 0xc2bde63e, 0xbb1b899d, 0x1ecb99f2, 0x0ab13990, 0xc5725af0, 0x1d9423ba, 0xe734da15,
+    0x75a7817b, 0x2ae437a4, 0x738f4223, 0xc364286c, 0x8568b5c8, 0x1413183c, 0x78e6b1f1, 0xdeb68d3e,
+    0xbab80039, 0xb321470d, 0x185dd4f0, 0x2779feaa, 0x9a65ff62, 0x57f66e5f, 0x65a16445, 0xf9f7fc32,
+    0xe2952390, 0xc3f1750f, 0x2f75e571, 0xd2a327a5, 0xa7afce9b, 0xd438d752, 0x220bf050, 0xf2173cda,
+    0x42e067fd, 0xfd0108df, 0x8c3d9c32, 0x199549a1, 0x8f42ea33, 0xdb34bfa4, 0x31de612a, 0x6330c86b,
+    0x518ffd33, 0x61d6f7e7, 0xc3739fdc, 0x3756e49d, 0x59ad1f7b, 0xee223668, 0x7cc12b23, 0xa34429da,
+    0x6897ffb4, 0x979815dd, 0xdc3928d9, 0x743606cf, 0x838b9826, 0xc532dee2, 0xed1c06be, 0xf44cec20,
+    0x86367f13, 0x4bb034fd, 0xcea1fe40, 0xb17ddccc, 0x4d575dec, 0xc9127061, 0x726525c0, 0x4196392a,
+    0x0a044506, 0x10dcc200, 0xd658a22c, 0x8f249410, 0x656b7f8c, 0x2c60442b, 0x5ce5f105, 0xe77eefb4,
+    0xbba12aee, 0x4b702370, 0x7b1ec6c4, 0x260cf699, 0x731cb3b4, 0x766bfe94, 0xd23e32ce, 0xc9645bc3,
+    0x01d979ca, 0xf3843c85, 0xae03e82d, 0x42e56f98, 0x7257eea5, 0x55a57257, 0x2eb62e2d, 0x63eb1a2a,
+    0x5769eb65, 0x0baa7125, 0x04705d09, 0xff66ff43, 0x8102380d, 0x6dcbe604, 0x6d032cd9, 0xec687f75,
+    0x035dee48, 0x3e9428d8, 0xb17cbb4d, 0xd41034a0, 0x303c77e6, 0x6cecf9f2, 0x29cd43d5, 0x33acd177,
+    0xb5b9e6ea, 0x87f619e5, 0x5d39562c, 0xe3fa815e, 0xbf0f00b6, 0x38b7c4f4, 0x854db7af, 0x58c0edf0,
+    0xf4ca96ff, 0xbd9978e8, 0x8d67f9e6, 0xe8c2a205, 0x76454a19, 0x92ed3247, 0xd69f4e96, 0xfe2d112d,
+    0xf60dc37e, 0x1ced3a8c, 0xa0fef45c, 0xb9c8a97c, 0x136a7152, 0x9f203730, 0xa8314bce, 0x00fd3ef4,
+    0x6e8e8ae0, 0xd0e7aa51, 0xcfb0cb00, 0x9b7180f2, 0xa4cd15bb, 0x1d516964, 0x2f978379, 0x5f17472d,
+    0x243f4a50, 0x1639745f, 0x86026fa2, 0x96900c9a, 0x7a53f92d, 0x4dbc6b9d, 0x2d731a01, 0xf9c804fa,
+    0x67e59a1c, 0x05015047, 0x7fb07c66, 0xacacc635, 0x57164802, 0x66c38032, 0xf6ce5f6f, 0xa6bfb833,
+    0xd2a60cac, 0x29f431ec, 0xc2fecbb2, 0x2d8955a6, 0xe76cd031, 0x26fd5c48, 0xaf807702, 0x12867b1f,
+    0x0f89887d, 0xf4160cd5, 0x93ad889c, 0x822690c8, 0x4bf613b1, 0xd2e49647, 0xf8624ea0, 0x7896d100,
+    0x37dcec83, 0xf3743844, 0xcf077aeb, 0x971948b4, 0x8274b3ec, 0x18b41be5, 0xc2c381c5, 0x80626bb8,
+    0xc27fbffc, 0xe7b76db2, 0x388bbfdd, 0x41073937, 0xe235f92d, 0x8b4be7ed, 0x8116dd5d, 0x41b0810d,
+    0xff641aac, 0x7c092b13, 0x0825eebc, 0x781caeab, 0x41f6385a, 0xba8b8861, 0x0da6ee33, 0x33f9ebf6,
+    0x263ac278, 0x773d05b7, 0x1bded5b8, 0xc7d7ffa1, 0x2c84d8ea, 0xea42e21c, 0xa7ea141d, 0xae691ee3,
+    0x7e9d77f0, 0xfa05f08f, 0xf32af79d, 0x26485b22, 0x61cc7f49, 0x905c613d, 0x23239dfb, 0xb838a55a,
+    0xa6dd76d1, 0xa1be5597, 0x9465531c, 0x7434522f, 0xbdfdc622, 0xf2b38fb5, 0xcbd53d9b, 0x63371cd7,
+    0xf2f5d1e6, 0xc397893e, 0x575b3e56, 0x15650a50, 0x23201780, 0x4f3b0e45, 0x3d9a08f5, 0x3bdc1632,
+    0x9ac0c958, 0xfa3e5955, 0xe2d84dbb, 0x4fb70d70, 0xeb414d0c, 0x3394d75c, 0xa2750783, 0x15cb5cff,
+    0x7cc44f6d, 0x2c4bdfbf, 0x6fb788fb, 0x8e1d9ed3, 0xf05a987f, 0x5aed8eb5, 0x5dd0043f, 0xa28af421,
+    0xec3513db, 0x84da082a, 0xa648535e, 0x8d72c79f, 0xd2886df6, 0xcb2c2ea3, 0x214d490d, 0xa9d29c41,
+    0x100136b4, 0x0960fa47, 0x2d01d0b8, 0x1d16d001, 0xfb39d094, 0x92c61ef8, 0x232cef32, 0x945a2f77,
+    0x3a44521a, 0x312b99f2, 0xdc9c59d8, 0x1f185943, 0x333e4075, 0x2fe57d68, 0xd7fa2ec5, 0x59eb51a9,
+    0x550678f6, 0xd7c83736, 0xa47b25a2, 0x3f812c1f, 0xc2c83503, 0x1434f86a, 0x5d719292, 0x40f9f1dc,
+    0x3df8999e, 0x49482577, 0xd3639aac, 0xf5efb2e9, 0x92b669b0, 0xccbc4a41, 0x10d99297, 0x5baf0a0c,
+    0xeb4b319f, 0x425b9b22, 0x15c65cb3, 0x387e1d6c, 0xbe32c89f, 0xab4835c4, 0xbef2586b, 0x8d36a032,
+    0xf9d4cb1a, 0x8356743b, 0x967fc92b, 0xe36ea2d6, 0x55c63eb8, 0xf6095907, 0xccc3ab49, 0x15c8b75f,
+    0x96c38610, 0xd02209f9, 0x9d5999c7, 0x83dfba15, 0x7c7232a1, 0xd84636b0, 0x9a1a76d4, 0xf352e8cf,
+    0x82ea71ec, 0x35b0bc95, 0x2da3e4d7, 0x48aa1562, 0x4036a709, 0x638c4849, 0x1a0d54bb, 0x4e49d2ee,
+    0xdc5f031d, 0xf6519ede, 0xb9b8f063, 0xf5b584d1, 0x93320a20, 0x99e90e5d, 0x306ae6ad, 0xdfe10b8a,
+    0x2547691d, 0xdf529c39, 0xd5bf0ffc, 0x5bebf1e9, 0xc63b29dd, 0x8f0f6f18, 0x9c8dc6f4, 0xe6cff230,
+    0xebcbb617, 0x1ef56a04, 0x5d88b92f, 0x23801224, 0xcd6e93e8, 0x21242e15, 0x435813de, 0xfb60925d,
+    0xdced3c35, 0xe642479e, 0x2fff88f5, 0x233acc85, 0x3ba100c7, 0x6510590e, 0x111060e8, 0x9f563198,
+    0x46124567, 0x187964da, 0xca99c92d, 0xa534d765, 0x6eb9ec51, 0x5f9c9010, 0xe68d0a31, 0xca0e33b8,
+    0xea7a4c4e, 0x8d198c36, 0x578a02b8, 0x93f5f646, 0xf6886dc9, 0x92a48391, 0xc6256e16, 0xcc32dbab,
+    0x3e486f60, 0x3e9e43ca, 0xdf8b8992, 0x10d3ed92, 0xbca0ad31, 0xe076ad92, 0x67f4615e, 0x93655c0a,
+    0xfb0e52e8, 0xf01d82d5, 0x11806412, 0x063c684f, 0xf731898b, 0xa38f6eaf, 0x3b5212cf, 0xcb6fe388,
+    0xc2a9813f, 0x832912aa, 0xd264eb22, 0x97d7114f, 0xf9e3fd21, 0x50df293e, 0xc83d1b68, 0x3c08334f,
+    0xc9eb90ab, 0x3397c110, 0xad628836, 0x4b471102, 0xfb077042, 0x427443e5, 0x039ed974, 0x65395151,
+    0x6db998d5, 0x47cfe4f4, 0x95fbb682, 0xe2db5426, 0xb86abb90, 0x58708c16, 0xdaee5240, 0xdc33f888,
+    0x28079a8c, 0x987f81f3, 0x125f6f43, 0xfd2e4578, 0x8abc6441, 0xe1c14972, 0x9311946a, 0x6799bf21,
+    0x6f223ba9, 0x648d26e3, 0xade86a0e, 0xfd79199e, 0x7dfa78f1, 0x64654642, 0x21f484be, 0x43e48721,
+    0x9a9cac37, 0x663d4b33, 0x63a724ab, 0x418e1839, 0x01cfbf71, 0xee98c6ce, 0x815176b6, 0xfd0abdc2,
+    0xf6313d8c, 0xa6361530, 0xb06fd776, 0x4c00648a, 0xf673b62b, 0x03fc56d6, 0x0cab443f, 0x1a5677f7,
+    0x75e6d732, 0x2b2ad791, 0x4a0cf577, 0xa14753b2, 0x1e2b71a3, 0xf50dab70, 0x7b676424, 0x7efc6820,
+    0x3eb6af2b, 0xc415b67f, 0x04d60601, 0x71d274b5, 0x0463bcca, 0xb54a5718, 0xaef1eb4a, 0x8e4e045f,
+    0x63d100c5, 0xe3a32d1e, 0x8ae37ceb, 0xd20135cd, 0x50a6c815, 0x74146ea0, 0xcb65c208, 0x0f84faae,
+    0xb5973d40, 0xced26846, 0xa7f3976f, 0xf0fa8485, 0x8c11c4d0, 0x26745947, 0x9331e0ff, 0x4d44dd93,
+    0x406e796e, 0x9e12581c, 0xe60a9797, 0xccd59e8e, 0x3e129b85, 0xb9bdf63b, 0xb6356e2d, 0x08df3fd0,
+    0x9cf22ca8, 0xb4aca7fa, 0xad013b10, 0xe6d55cdd, 0x1d217018, 0xd5a948b2, 0x22f63c1f, 0xbc2f8ab8,
+    0x90e10810, 0xe0b9491d, 0x50738526, 0x31b60836, 0xfdc8e656, 0x89944ade, 0x6b81c539, 0x48b9df49,
+    0xe4f13565, 0x2078a629, 0x056fbfee, 0x6120a988, 0x13c0c646, 0x86643de0, 0x8a7a5eaa, 0xfc934d31,
+    0xbe89a501, 0x56102cce, 0x0c685bac, 0x0097ca86, 0xb09ebbb7, 0x473cfc53, 0x341019a4, 0x737714a2,
+    0xc49109f2, 0xf8ee410e, 0x9db971d0, 0xab1e3fe8, 0xfe01b650, 0x2c6ff1e0, 0x41332bdc, 0x0944026d,
+    0xbd27bd61, 0x05e15642, 0x75696b09, 0xbd37cfc9, 0x4e7813e5, 0x8c013ef5, 0x544747b5, 0xea0ff882,
+    0x64808d31, 0xc88bf2f6, 0x3257f4b7, 0xc6990fb1, 0x7a413bff, 0x259e5897, 0x523f5240, 0x4e2570dd,
+    0xabc14e74, 0xdcee0a0f, 0x846e21e9, 0x2ab705e8, 0x6e0dfdfc, 0xa9cfd60d, 0xc8da34cc, 0x66cfb3b9,
+    0x64978737, 0xcbf1dec7, 0x501fbe86, 0xbaf1a2e8, 0xedb45b5b, 0x04f61633, 0x97f68a20, 0xb4762b84,
+    0xe708b37e, 0x722645a8, 0x8143a9be, 0x591b600c, 0x16a3333a, 0xbcdbbe05, 0xb4b4b068, 0x19d8ecf9,
+    0x051f740c, 0xd56ba1db, 0x871950a2, 0x6e1331db, 0x303ea816, 0x2211a8d2, 0xf87ec523, 0xaea6658e,
+    0x3b9c5c70, 0xfe5b5396, 0xea7aceb0, 0x2bf00339, 0x44cb9c10, 0x117a4dc0, 0xb37cdb2d, 0x3b5e8462,
+    0x8aec9c72, 0x746ecee3, 0x68ab13cc, 0x53cb3c78, 0xa86ab02f, 0x244b5a64, 0x138683df, 0xe1552f78,
+    0x599b8e70, 0x5d3c2fea, 0xf8e61ce2, 0x9a4d60d4, 0x491cc76b, 0x8d9401f4, 0xecf32b58, 0xb3b87fb9,
+    0x21b0f8c5, 0x8eaffd84, 0xc9e1dbe2, 0x2024b1ca, 0x4046c5de, 0x892074af, 0x6bf8ed6c, 0xe36d9de5,
+    0x23b734dd, 0xaff6e927, 0x016efa29, 0xdc384d98, 0x2c5c08ae, 0x7a4cab8b, 0x578009e2, 0xde07f925,
+    0xd83b3cf7, 0xde61b06f, 0xd0c940c7, 0xfe876b93, 0xbe264775, 0x19a6e779, 0x85de947f, 0x015b2d32,
+    0x750e5517, 0x79f6c028, 0x8e3cafa1, 0xf574714f, 0x8b8708f5, 0x52804690, 0x9fb37d3c, 0x38f7ac95,
+    0x2e505452, 0x7b518063, 0xf3a2bd87, 0xde021a42, 0x97d521bb, 0x909d6d99, 0x142b265d, 0xd38c0765,
+    0x710dacfb, 0x93c4b196, 0x84332b0b, 0x5cc699af, 0xe7378324, 0x0d349b9b, 0x573879cd, 0x99d744ea,
+    0x9afc1508, 0x3053a92f, 0xb60c562b, 0x09e3b176, 0xcfa61f97, 0xfa3fedc0, 0x80d67c9d, 0xb378a7d7,
+    0x80a2ab1c, 0x01638dfd, 0x263cb409, 0x0500be75, 0x63990570, 0x050ea375, 0xda063523, 0x5e832d20,
+    0xf1fd5f3d, 0xea6a5f57, 0xce3d5d2f, 0xb4735eb0, 0xfc0171bf, 0x90aed67c, 0xfcee57e4, 0x1d607c99,
+    0x283fe31c, 0x31d6eff0, 0x5110eade, 0x094fc6c6, 0x6b8ea8eb, 0x7642384a, 0x8d7a67d1, 0x402acf06,
+    0xbc9d340a, 0x45ce2bf6, 0x4d4ed8fa, 0xc90b7f09, 0x7c6b1dc5, 0x873ebf67, 0x1405c64a, 0x820bdc78,
+    0x2464a26b, 0xf7b6778c, 0xeff87223, 0xf35e2205, 0xd086f8df, 0x42a9747c, 0x7d266d04, 0x6af62f21,
+    0x16e0f586, 0xf015757c, 0x07a83ef0, 0xc9834c19, 0x223d65f8, 0x446ba45b, 0x63182a86, 0x60f72ea1,
+    0xb9fde01b, 0x24eb80d8, 0xb0909fed, 0x7f5dc13c, 0x475f4cd8, 0x98db148f, 0xcf066043, 0x0c117708,
+    0xfa8a8468, 0xdcbbbf77, 0xfb3f80b3, 0xa162c863, 0xe8c3f834, 0x0d12c1b5, 0xb3f5893d, 0x25bd519f,
+    0xd43fb7fc, 0xa7651bdd, 0x311f7324, 0x07d606ac, 0x14d3eb8a, 0xde0c9cfa, 0x43ce9972, 0x2326817f,
+    0x3b3d6760, 0x75afb351, 0x4f355137, 0xd1d33757, 0x1847cab7, 0x96f38f50, 0xd2dcd3d0, 0xf9e455e2,
+    0x0c194a1f, 0x5f15e907, 0x39350d80, 0x40fb2dc3, 0x355d7485, 0x00237c34, 0xfb940e8d, 0xd2b4bc04,
+    0x5ac99b55, 0x5f50569b, 0xe1a6bdae, 0x6af517e2, 0x6e9460d8, 0xc9796eb9, 0xcd420bc4, 0x5e48752e,
+    0x4c0c2ff8, 0xbf67ec4d, 0x506ea7ea, 0x86a00d3b, 0xc50244ae, 0xbd310418, 0x47804e02, 0x28918a56,
+    0xbe58b9b9, 0x709f5f78, 0x1d10cb5d, 0xb5cb127a, 0xc9de427b, 0x76b91822, 0x47e4a572, 0xfd411221,
+    0x6b57ece4, 0x8271372d, 0x112695cb, 0xd85e689f, 0x3c9089f1, 0xd7f2ea14, 0xa0ac3298, 0x720079d0,
+    0x7a559401, 0x48f3c08d, 0x5779cd90, 0x2794090a, 0xf27ad0c1, 0x05f094a6, 0xec3a3ba4, 0x2606b545,
+    0x21887770, 0xa086d181, 0xb67440d6, 0xdfebcbf3, 0x0a86bc4e, 0xebfc3301, 0x31a248da, 0x93c51e49,
+    0xaef9e87f, 0xe7c151f2, 0xfe05bc51, 0xfa209c85, 0x00e4483d, 0xd2dcc908, 0xf9a1b969, 0xafd2470c,
+    0xa18a2870, 0x4484596d, 0x2eef7680, 0xaa76e62c, 0xf02a50f9, 0xac890eb0, 0x8f20ae13, 0x33db569b,
+    0xf854f02e, 0x4570e1b5, 0x0296ff62, 0x7d325f11, 0x70635e1e, 0xc9f9f0b3, 0x7cfd3ca0, 0x31ada6b1,
+    0x07c26257, 0xa898651f, 0x617e56d5, 0xe6677939, 0x24980661, 0x1dade3fa, 0x0e19e136, 0xdfc778b0,
+    0xba2590ab, 0x531f40cb, 0x7ae46630, 0xe4624e67, 0xd3a3b442, 0xe4c7c578, 0x7c9c76f3, 0x4f74d407,
+    0xf58b5a81, 0xbcbd679c, 0xed90268c, 0x25a06a42, 0xce05bb92, 0x3616ff0a, 0xc568141e, 0xb5067cf9,
+    0x6f0133fa, 0x736a736c, 0x001a6e9b, 0x566a8f85, 0xd6bc88a1, 0x36baa926, 0x633f3e1d, 0x6024d30f,
+    0xaca47dd5, 0xc387deb1, 0xf5dc438a, 0x0500cc67, 0xc235f683, 0x16159bcd, 0xb439a73b, 0x852f6da3,
+    0x023bd968, 0x59c090e9, 0xdebbcbd7, 0x5b272139, 0xe5d11ea2, 0xdfccd5d6, 0xe62d1db4, 0x5a673a65,
+    0xf7c81932, 0x84f18362, 0xcac2aaec, 0x6d245696, 0xd26c3710, 0x6bf6c830, 0x141b9b78, 0x7114d362,
+    0x408fae3a, 0xb8a47356, 0x9c963b83, 0xd76aee0e, 0x57153abe, 0x7a324068, 0xfef43166, 0x82279cd4,
+    0xcb4bd678, 0x885c2d2b, 0xcadac77f, 0x88960d06, 0x084bd20e, 0x93f977dd, 0x9dd6d2d8, 0x9d3702da,
+    0xa887aed4, 0xd6d954c8, 0x1e6c5f7b, 0x9bae586d, 0x53205c7b, 0x62cae2fc, 0x76b35c02, 0x5fd72843,
+    0x3c2b689a, 0x70aae708, 0x9a2d3406, 0x242243ff, 0xea545e44, 0xe0ba1e02, 0x6b33fce4, 0xde73e768,
+    0x49c13573, 0x23b9c044, 0x0d3814be, 0xf49198d5, 0x54c27799, 0x96d85780, 0x54dd9a05, 0x504c8da2,
+    0x6ffb5087, 0xbd552e06, 0xfc9e86ae, 0xddf2684a, 0x854a429a, 0xbd3406a2, 0x6db5582d, 0xf6393f00,
+    0x63f568e9, 0x2380a410, 0xb5129519, 0x7f342b3c, 0xc7710b4e, 0x88610f47, 0xb416f770, 0x52040bcc,
+    0x081d8de5, 0xa2280442, 0x6940d868, 0x75aaa830, 0x09f610db, 0xff53c799, 0x1b3ee622, 0x9d044566,
+    0x7fa3d118, 0x642e9db3, 0x0e29868a, 0xac9ce872, 0x046e36f1, 0x1bc7d9c4, 0x7f970e28, 0x241ef088,
+    0x99fa0b79, 0x84094999, 0x0f0f767a, 0xfbbd9b98, 0x32b4bbb2, 0xc91a4fd3, 0x3505a31f, 0x666f41d6,
+    0x71ff2d4e, 0x67e97f55, 0x3747a9c1, 0x050af54f, 0x8c629daa, 0xac0409e8, 0xbbedb305, 0xe2484a03,
+    0xc05d8731, 0x20fe75bc, 0x5f9b507f, 0xe8d85dc8, 0x0d23b83c, 0x94262d56, 0xcfa89269, 0xcebf5f52,
+    0x1029ccf5, 0x52b45177, 0x89fb0e54, 0x1727c2d3, 0xa69d2516, 0xc654432a, 0x096c1f1c, 0xfddb1d0b,
+    0xfb9ad660, 0x6341e9cb, 0xa586c030, 0xd2d3833d, 0xb13bca25, 0xc5bddcfd, 0xbb797a08, 0x01b26487,
+    0x64b24adf, 0x52260ed4, 0x695bd505, 0xa39e4219, 0xf3696568, 0xd485fce3, 0xf19516ee, 0x202052b9,
+    0x5e4768f7, 0x39ee26b2, 0x9f8752c7, 0x1740e53a, 0xa8c44a56, 0xefb021a7, 0x8968b26b, 0xe470cb2d,
+    0xe7fdb8f4, 0x07a01b74, 0x5154c221, 0xb8edb659, 0x75ef0c2e, 0x9a6b0f0a, 0x88ba2e76, 0xce32ec7a,
+    0x00000000,
+    0xf8b166a6, 0xb2e52a67, 0x1af72402, 0xd685eb0a, 0x125f55b1, 0xea8f9d1f, 0x3287ef4e, 0x73c2ce83,
+    0xdb564041, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x4000006a,
+    0x00000000 }, /* 10**00000000998959536101117514042111113533813217839551405652790768274930227080118\
+                         95642232499843849795298031743077114461795885011932654335221737225129801285632 */
+  { 0x00000000,
+    0x9ef82b67, 0x4d93696e, 0x7d8282c7, 0xd76e66d2, 0xe6ebc389, 0x44147a48, 0x4d0e7e48, 0x69c49ece,
+    0x1a014c45, 0x7bfe9ee7, 0x36b64d4f, 0x396e9dde, 0x6ecf7707, 0x0f891d9f, 0x90842e7f, 0x2499d239,
+    0x05d25510, 0x18701146, 0x7cc79386, 0x5178abab, 0xd5ee7d23, 0x2d5dc3d7, 0x2d47eeee, 0x12cfe0bb,
+    0xecf9bdc0, 0xa9970562, 0x8be75862, 0xf6683069, 0x8dba02dc, 0xd5643506, 0xe1ab1cf9, 0xe219d485,
+    0xad69e794, 0xac665a35, 0xadd10884, 0x0a907ba7, 0x3c32d4cc, 0x053e92b4, 0x101a6280, 0x015c194f,
+    0x3560eb4b, 0xba8b82e5, 0x917e8118, 0x8a8df3e4, 0x874d4cc4, 0x2204ba0b, 0x961801fc, 0x32abd870,
+    0x561a3f9e, 0x07d44a3b, 0xcd49fab8, 0x62c48709, 0x0cabac31, 0x30270e59, 0x6f719843, 0x493b10c5,
+    0x55f4f837, 0xc60cc619, 0xbc3aef92, 0xf2e64c71, 0x335986ba, 0xd14888bc, 0xd14fa02f, 0x18385420,
+    0xa3dcb29f, 0x94ae34b9, 0x475247cc, 0xca69a108, 0x4655e646, 0x5ad7c9cb, 0x66143822, 0xc49de81b,
+    0xee6b3c10, 0x8ea5fd86, 0xda93e42a, 0xaaaae66d, 0xecf0432a, 0x5357c907, 0xc7cb749c, 0xa649e323,
+    0x84609734, 0x83456156, 0xfdcc6926, 0x3fcdab15, 0xc8912093, 0xab5537b2, 0xade9cfb0, 0x1919cb6c,
+    0x40cd3e03, 0x4eaf2a63, 0x4aa85a22, 0xd97273c0, 0xe5021f73, 0x9c6f2685, 0xb5bba9f7, 0x460971e0,
+    0x49f9a415, 0xc4020b72, 0x9e85e373, 0x0aa87392, 0xd8a86a90, 0xad4b5ab8, 0x9611dd73, 0x1a252cf3,
+    0xfc987423, 0x6fce0c64, 0x817e334d, 0xbbdb2e36, 0x6a459a01, 0xea269f9a, 0x5b3f9808, 0xf0607d47,
+    0x2859083b, 0x6f51e601, 0xbc485670, 0x0377c8a4, 0x5d0dcf66, 0xd432f3b0, 0xa9ee2743, 0x48757158,
+    0x0d94c734, 0xab82437c, 0xef973b36, 0x3da97f9d, 0xebe4b7b6, 0x0be46765, 0x8af5c0d3, 0x60603f62,
+    0xdcffdfa7, 0xecf3bf22, 0x0c720aad, 0x0a66f322, 0xf79aa9f8, 0xab3ac409, 0x91a85cb6, 0x17cf93c7,
+    0x4d0a1caa, 0x0e1a2320, 0xef4ba61a, 0x631ccc6b, 0x9bfb4e66, 0x1354bd46, 0x43c5841f, 0xb7eba959,
+    0x0a6bbc7b, 0x67b30acf, 0x2decbbe2, 0xaca56008, 0xbf640e54, 0x36361559, 0x406802c5, 0x9164ae28,
+    0x89c3ede4, 0x07d82a8e, 0x0980636d, 0x89504a8c, 0xa54db9b1, 0xf60d0e53, 0x1a245bcb, 0xb61cbab5,
+    0x8c472d4c, 0x082e9721, 0x25036b2a, 0xfd8b263a, 0xc3d718ef, 0xc25a1636, 0x67f0f350, 0x52cea74c,
+    0x43ca88c3, 0xfd227076, 0x0c992032, 0xaf82042d, 0xfa1d78dc, 0x54c097e5, 0xfe5f57f9, 0x7230b70d,
+    0xde0f78a9, 0xd3a9aa76, 0x1d789724, 0x3b989f96, 0x92166136, 0xffdcf28b, 0x6ad96391, 0xd15cfe94,
+    0xdd674f7a, 0xc1999824, 0x7df85912, 0x2f0baba7, 0xfc9cda99, 0x644913e8, 0xeee00f6a, 0x3a03ead6,
+    0x7333a883, 0x68bb623e, 0x9ff78ab4, 0x9f803dd2, 0xaffd8d43, 0x97383132, 0x9b1e13d5, 0xa6d733e7,
+    0x4ddd1fd5, 0x012da32a, 0x8be7d777, 0xccd520c3, 0x2a95ef3b, 0x757683b8, 0x3280f821, 0xeaa7aa65,
+    0xaa027ed3, 0x4e8bc432, 0x85b6ef5f, 0xc48808d8, 0x090afa4f, 0x9a0fbab2, 0x18367adb, 0xfac04a2f,
+    0xf109bc7d, 0xd49b7fa6, 0xba300938, 0x771bfab3, 0x761202d4, 0x1f0609ec, 0x9d520663, 0x1fe5f1e6,
+    0xedfe1ad9, 0xc88714fc, 0xdd138c2d, 0xd3b8c66c, 0xfefbe037, 0xf100058f, 0xb63c106f, 0x2b078162,
+    0x9e5030b9, 0x47c86bec, 0x5b1d71f8, 0x5fd07509, 0x2f4e881e, 0xb9bb1c1f, 0x4a391278, 0x457a7edf,
+    0xb12e1538, 0x30920bbe, 0x55d59556, 0x03291b67, 0xbea1ed73, 0x18d1cc1f, 0x37bb7877, 0x4b09a142,
+    0xa7c48301, 0xf57334d4, 0x9eef94da, 0x4e5037f6, 0x9aeaea5f, 0xe95071a6, 0x84b51a6b, 0x1956d946,
+    0x9d7d8e2b, 0xacba3842, 0xc314427e, 0x0c84a65d, 0xf12dc9ca, 0x6a1c405a, 0x5117be9d, 0x147eeb4f,
+    0x9ab2ecb5, 0x9c371db4, 0xad644687, 0xe320cad8, 0x78d211b3, 0x40f3d940, 0x536a1d1a, 0x967b99da,
+    0xd9dec0ef, 0xc39d2bd7, 0xaad53681, 0x5a4640da, 0xf61179f0, 0x4940caa8, 0x9c53a247, 0xd7ee9be8,
+    0xcf45a38a, 0x7ff8a597, 0x8a9b136b, 0x72773554, 0x9ea23a5c, 0x1539d190, 0xedd690a2, 0x519e1334,
+    0x30b5d00f, 0xf3bfcf1f, 0xc7103c08, 0xbc540cc3, 0x6be054ef, 0xe15d0715, 0x6ea14646, 0x38c1c1b3,
+    0x03dbb48b, 0x568b8aa4, 0x5f6feb9a, 0x46842346, 0xc568cf9f, 0x5afcd903, 0x6389bbf1, 0x5f2ce723,
+    0xdf18c26f, 0xf0c2c4a2, 0xb6135ebb, 0xcb56bb2f, 0x7da72674, 0x4d20403d, 0xc9b3c08e, 0x27008018,
+    0x4965a440, 0x05fc8079, 0x89054c20, 0xbc038808, 0x2c3ffaf3, 0x6dd98f11, 0x9e343634, 0x3328b0b6,
+    0x43ee5f96, 0x77fdec3d, 0xfe2d78c9, 0x21241e07, 0xd8304788, 0xbfea91e2, 0x1ff21254, 0x343e97a6,
+    0x28b35622, 0x24178d3b, 0x6e92d6fd, 0xbaff5aba, 0xda2c6841, 0xc45c9d5d, 0x29d6d70d, 0x98186a75,
+    0xd77df15e, 0x0cee356f, 0x385f113b, 0x5f538c06, 0x4726def0, 0x1811a929, 0x05b52fd1, 0xbb8fc284,
+    0xf7eba4be, 0x82612114, 0x9b03fde6, 0xbdd5174a, 0x793cc58f, 0xe527c00c, 0xc1386bc1, 0xac1d97c1,
+    0x866236fd, 0xf709f4ad, 0xd359b8cb, 0x1b6aa13e, 0x6ed9dd31, 0x952c8349, 0x5c30e233, 0xb7b981a6,
+    0xca565903, 0x867d22dc, 0xd397882c, 0x66b4ec4e, 0x13c367b6, 0xec054a42, 0x301c6879, 0x1ff95323,
+    0xc4bd32f6, 0xe9ef46c8, 0x1ec615dd, 0xc5de7755, 0xb0280fe9, 0x42ba956f, 0xc186a1c6, 0xcd79287a,
+    0x3d8b64ec, 0xe00f8afe, 0xc240e838, 0x4c757715, 0x58c9768d, 0xb06f840f, 0x023beef4, 0xc6c7eb4e,
+    0x2df37e5e, 0x1fe1aee2, 0xb79f910f, 0x88601533, 0x883a6701, 0x0a1bb1c0, 0x74fb9686, 0xda3018c9,
+    0xfaa16e58, 0xc944ea3a, 0x7f0253e3, 0x5a5417d4, 0xed0bdc4e, 0x44a4f189, 0x91319b98, 0x55dc60d9,
+    0x0f0fa400, 0xb8baa848, 0x04a22345, 0x05ac78eb, 0xdad4a760, 0xa706c073, 0xfcb27a57, 0xd005a149,
+    0xa82e9986, 0x345e1611, 0xba52eaa2, 0xc2d9a2b2, 0xf0767088, 0x4bcb464b, 0x00579279, 0x45a20faf,
+    0x67607a0c, 0x0c503ea8, 0x62ddf7c1, 0x4a4b5041, 0x75c80e45, 0xa5cd54b2, 0x64baac07, 0xc0b17cdf,
+    0xae5136bf, 0x565d0398, 0x0bbe12fd, 0x09f18993, 0xa2288a2c, 0xdc32e232, 0xe0e9070b, 0x5f1f31f6,
+    0x88d149ba, 0x7d44eda6, 0xf105a571, 0xfcbf7e70, 0xf44f5587, 0x258e2c23, 0x0fc34941, 0x1d3c375a,
+    0xa42575aa, 0x6df33dee, 0xeb454f69, 0xa250d779, 0xec460525, 0x4548dc26, 0x5d2ec0c4, 0x2336e223,
+    0xb1c87297, 0xa0057f1e, 0x8b7cb660, 0xd56d32ed, 0xdd67125c, 0x4717e209, 0x398816d4, 0xb7e9a32e,
+    0xa9c10f2e, 0xc47692ff, 0xc3a93f0c, 0x46eddcb5, 0x2e5fe8b1, 0x6e52196c, 0x70be79ad, 0xcd1b6787,
+    0xbde54317, 0xca669843, 0x7707be25, 0xcc48ece4, 0x6a06cdec, 0x2849fe3d, 0x6f9cc711, 0x5d1a2827,
+    0xc1c99b00, 0xce2fd532, 0xd2b30d97, 0xa3d12055, 0x223b074d, 0xe5247073, 0x655f704e, 0x687e09be,
+    0x9d3a0fc4, 0xaabdda29, 0xbd655a52, 0xc9e06121, 0x316173de, 0x2c835ac5, 0x273d5406, 0xffe0ae4d,
+    0xe97ea5a2, 0x8b4cca7f, 0x9d198010, 0x5241568d, 0x783a37af, 0xd81b8df2, 0x3ba4337e, 0x8ec22969,
+    0xe8fc022a, 0x8ec9b1dd, 0x5e1d52fd, 0x658c509e, 0x047dc30d, 0x9f3b12f5, 0x64e4b890, 0x44ba0e85,
+    0x5ce8dabf, 0x8e22fda5, 0xe10b615b, 0x9048a43f, 0x4f20e598, 0xa01e7d47, 0x211ea9b2, 0xded6ba0c,
+    0x468a3cbb, 0xefd987f0, 0xcd4c8144, 0x93f34ad0, 0xfa0e9868, 0x0fb01a46, 0x5a54bf83, 0x2ca09f59,
+    0xcfdec8cf, 0x20945a77, 0xd93cfeb6, 0x3a01c201, 0x78dac08d, 0xaaed864b, 0x64f37b79, 0xaaaaad2a,
+    0x8666c659, 0x85a5479a, 0x277d18d9, 0x4e5d78d5, 0xce058fba, 0x671a1323, 0xee9d7ecb, 0xa2b506ac,
+    0x9bb6efcb, 0xd97281bc, 0x010d856d, 0xd3b3731f, 0x4ccb1d0e, 0xeb32d9b9, 0xf4f27cb2, 0x84a9b123,
+    0xa4b8bb67, 0xe246f320, 0xb73e4d53, 0xb4574656, 0xe7aa1778, 0x51c7c00b, 0x565e21b2, 0xd27c445b,
+    0x8124d1a2, 0x64bea29b, 0x0422d415, 0xa4595aee, 0x49f1d168, 0x09fa8131, 0x0d593da7, 0x56b0554c,
+    0x3470eda5, 0x0fd59a0a, 0xfd460124, 0x7eec2ad7, 0xd84769e0, 0x78b2600d, 0x21e930fe, 0x2816e164,
+    0xc879afa7, 0xb8050a8e, 0x1038bb4e, 0xeb2f6ffb, 0x16c880ba, 0x139c1071, 0x2e9e1c73, 0x53f8026d,
+    0x88dcb1a0, 0xbb1746b2, 0xf97d02b0, 0x51b4bc53, 0x2cab6116, 0x9ff2c982, 0xe6870433, 0x52a1f3e5,
+    0xa704df76, 0x74f57983, 0x6bff5699, 0x0a9624d0, 0xfba3884e, 0xdaf589e8, 0xaef501b6, 0x8e057db8,
+    0x44ff0fe3, 0x298e20a4, 0xa17fe337, 0xb2cbf695, 0x93d86892, 0x8520808e, 0x1094fa8e, 0x169b251e,
+    0x713d54ea, 0xffe7310c, 0x71b4bedc, 0xf2d237b6, 0x23710fdc, 0xec2f51f2, 0x4ee01ca1, 0x719b7fe2,
+    0x212086e8, 0x5764000b, 0xddb1075a, 0x63293312, 0xf3d558c8, 0xdb3d4057, 0xb5e16ffb, 0x7aaaa12c,
+    0x0bdca816, 0x2904a3ce, 0x609184f8, 0x16d70dee, 0xb00f8c2b, 0xf191805d, 0xd5a40680, 0xa9df48c5,
+    0x3beb914f, 0x9f561b77, 0xb9a0b483, 0x34ae7f24, 0x26343028, 0x6e4c8f94, 0x0fadf9cb, 0x5f5f88f9,
+    0x766c8e65, 0x76716504, 0x28431b5b, 0x14b82261, 0x082db2d1, 0x2a8b3b3f, 0x9f162043, 0xddd67f61,
+    0x339d2665, 0xe707121b, 0x1770112c, 0xea9e14f0, 0x5239d49a, 0xc3ba318c, 0xe89d3215, 0x9ab59b54,
+    0x26734a2f, 0x7c6df5e2, 0x59d0fb44, 0x90f51900, 0x643dd401, 0x2088793a, 0xf538aed2, 0xc1637133,
+    0x5cc5f971, 0xfea70174, 0xbb1598c1, 0xe2d9441b, 0xf34fc42f, 0x0a63b2bc, 0x02a5108d, 0xe82c1c9c,
+    0x0fb76141, 0xaa292785, 0x1b9861ba, 0xff748a4f, 0x75617fc4, 0xe1c7946e, 0x420bbf04, 0xdddb5f30,
+    0xddb8f429, 0xb72bf45a, 0xe50ecaa7, 0x5c0f566b, 0x800d2390, 0x9b5a9eb6, 0xbee49e39, 0x319b171a,
+    0xc5fe32b2, 0x6865bcec, 0xdaef4224, 0xc6f181b8, 0x429505bf, 0x3119a5ea, 0x72e88b4e, 0x1cd1e8eb,
+    0x2809487d, 0xef568a92, 0x2643ee98, 0xf3be3932, 0x67055e92, 0x0daa719e, 0xad3d95ca, 0x81856dfd,
+    0xb2acfa13, 0x51cb1bf5, 0x49a7efac, 0x825a0deb, 0xcb94d7fa, 0x3bc2e8f4, 0xd4b3be53, 0xb30ba003,
+    0x925e5339, 0x77bd82aa, 0xeca615a2, 0x47cfff1b, 0xd12f742c, 0xac308717, 0x610ba02f, 0x1884e5cc,
+    0x6fb13537, 0xd166f977, 0xfe8dec02, 0x0974e0a0, 0x82e22f5e, 0x5bb8d850, 0xfbdbfdae, 0x5ad971a1,
+    0x8a31f051, 0x95b9da94, 0xbb6b3174, 0x3c06a81a, 0x1d16e307, 0x832ec7ea, 0xb05aace9, 0x866ac083,
+    0x7f8d45d0, 0xb7f3d275, 0xff7f35c1, 0x47b33a0d, 0xb5015cc5, 0x440040f0, 0x743f4892, 0x49c14723,
+    0x177aa266, 0x68b28c1c, 0xd560b2fa, 0xdbb3ec2a, 0xf48be740, 0xa57c29b3, 0x3c739ce6, 0x193aac5e,
+    0xe0e7356f, 0x37ab3f7f, 0xaad6278a, 0x3c496966, 0x2303839d, 0xf9942200, 0x7566d5b0, 0x93e49778,
+    0xbc326b52, 0x08779ad7, 0x9cb61a49, 0xa7f960ea, 0x98374b8b, 0xcf525dfc, 0xecd2c2f2, 0x6e03642f,
+    0xa3026178, 0x5236671e, 0xfbdceb2b, 0x2936a5cb, 0x5492cdcb, 0xd28ccb32, 0x1172aaf1, 0x099bc282,
+    0xa452534d, 0xc7a9ab9a, 0x7684abd8, 0x6e1519f0, 0x1ad43bdc, 0x60ef010b, 0x8e88c464, 0x78e4e876,
+    0x196911fe, 0x891c0a55, 0x5f081af6, 0x87b53bbc, 0x9468f1fa, 0x2e5b44b5, 0x3802a1ac, 0x3729728e,
+    0x0e52b9a6, 0xd4a99743, 0x4a0de8f1, 0xf0ab8dd6, 0x8637363a, 0x38dc6775, 0x1c0087d2, 0x655b3e95,
+    0x591d460d, 0x06eef897, 0x240df342, 0x93d4690c, 0x4b5b1149, 0x4b6c9ed4, 0x8963e01e, 0xf2d8ca3b,
+    0x12cf113c, 0x04018b65, 0xe8696daf, 0xb1bbc6c2, 0x14af9aa0, 0x90d33f5a, 0x7c61500f, 0x91304c3b,
+    0x85b928fc, 0xa4866a5e, 0x2ce5824f, 0x19878091, 0x59323397, 0x776ef54f, 0xa54f03e7, 0x4be1cc56,
+    0xd863cd16, 0xffd75d39, 0x74880db3, 0x4b96a9ad, 0x26ff3664, 0xa4fdc90a, 0x1ff9e59c, 0x120c66d2,
+    0x7e4be904, 0xba98cef1, 0xfeb20df9, 0x498dc053, 0x21e21409, 0x10f0a28a, 0x9d5eabc9, 0xb07fa596,
+    0xb60e8a71, 0xd2a3aa2c, 0x4ced71f4, 0xae3cdd88, 0xf1715307, 0xf1069f9b, 0x2f070047, 0x628c933f,
+    0x3e3bdcad, 0xcb56a9b5, 0x89d80bbf, 0xec444f1c, 0x1f5452b7, 0x656fb84c, 0x2b699b25, 0x59b2f6f9,
+    0xdfc17c29, 0xad115d8a, 0x4cfa2735, 0x7afac280, 0xf7e82abc, 0xb38c71bd, 0x58c02020, 0x2d727554,
+    0x3fcfcab7, 0x8201b785, 0x98095adf, 0x399a7d7e, 0x43f8e8c6, 0x0bd9d784, 0xa762b103, 0xc654a63c,
+    0xa8837730, 0x61f1060d, 0x1fe5879e, 0x9cbfd034, 0x58e6a3c7, 0x4349a27f, 0x866adc61, 0x341a0e6f,
+    0x8e931ff9, 0xe8330e31, 0x2ce41771, 0x2a093602, 0x2f584334, 0x8c1e2b90, 0xc0fb6201, 0x1fbf113e,
+    0xa8c63438, 0xc15b5d6f, 0xea22aeeb, 0x4e6f1f94, 0x13a76d93, 0xc10906a3, 0xdb1d8406, 0xe6536a10,
+    0x0fd135f1, 0x630bca1b, 0xe5372489, 0xdfd8037d, 0x01e7ad4b, 0xbaf002ba, 0x7e0fb64a, 0x97564128,
+    0x463bb4f4, 0x60cadc5a, 0x9228ad81, 0x916dbfc1, 0x4900227c, 0x34f40070, 0x9164b980, 0xa6444b6c,
+    0xb5b0c634, 0x3dcb246b, 0x37eb7f10, 0x3b77c0da, 0x22cfc7bf, 0x019d1090, 0x8ece3360, 0x1681e57a,
+    0xce1c4947, 0xf5e5a4bd, 0x83ea4192, 0x86fe9fb4, 0x6a31f98b, 0x54adbde0, 0x7bf8cf98, 0x2fe6459b,
+    0x5fb4b525, 0xd9c63e46, 0x02c3f906, 0xb2da1e97, 0xf04a1918, 0x87d5983a, 0xfc292ddf, 0x39efd4a5,
+    0x1fcd7a9b, 0x575be34b, 0xf3bfd403, 0x8ef0e736, 0x27e66e4a, 0x6d1a2eb9, 0xd608aebd, 0x939637dd,
+    0x3f63ecf7, 0x17b9539a, 0xa2882caf, 0x75092a9b, 0x9bb0d1cd, 0x86327536, 0xe2ef7452, 0xad06f19c,
+    0x8d60af92, 0x04e91fbf, 0xf2e6b670, 0x188cd1ff, 0x9a69671b, 0xf6cdc7b0, 0x8b6987cc, 0x1d50317f,
+    0xe05079a2, 0x73a3f7a2, 0x90f3f02a, 0x7771d1a6, 0x7bd28030, 0xb966bcec, 0xddfdfc12, 0x0d2d81a9,
+    0xbf389157, 0xe2091bda, 0xe7c25c37, 0x82975a98, 0xcacb1880, 0x52b52232, 0x23ec8119, 0x9a521a79,
+    0xb6f182b4, 0x14a907e9, 0xcf5cd70c, 0xd75c30de, 0xaa6360e8, 0xfc546b64, 0x2c632a7f, 0x6a92dffc,
+    0xcb0e3d1e, 0x6304bdc1, 0x8b4f1e4a, 0x0b1b42b4, 0xe115bec0, 0xed604854, 0x5e89fd19, 0xcc4e8a3c,
+    0x5e126c32, 0xe4565cb9, 0x3bbebe04, 0xf97fde76, 0xafb65807, 0x8e683f2c, 0x8ddabcb4, 0xdb9d3fb5,
+    0x14bdaf4e, 0x3cc985d5, 0x914d96ad, 0x68280b13, 0x32d05f30, 0xe6705a32, 0x210246f4, 0x54a1a956,
+    0x06d551c0, 0x1b8ed929, 0xd69460c0, 0xbf5e52f1, 0x9f870c1e, 0x52d657f6, 0xf94b6129, 0xe5c10974,
+    0x00000000,
+    0xfc58b352, 0x59729533, 0x0d7b9201, 0xeb42f585, 0x892faad8, 0x7547ce8f, 0x9943f7a7, 0xb9e16741,
+    0x6dab2020, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x40000035,
+    0x00000000 }, /* 10**00000000499479768050558757021055556766906608919775702826395384137465113540059\
+                         47821116249921924897649015871538557230897942505966327167610868612564900642816 */
+  { 0x00000000,
+    0xaf894d45, 0xbad03eec, 0xd1d6fe78, 0x06df06d0, 0x49ab4f16, 0xc7977f22, 0x9376c9cc, 0x5c019342,
+    0x92461292, 0xd4a25d72, 0xe152049f, 0x403c177c, 0xf0da0393, 0x256c8285, 0x8d676a5f, 0xb23ca184,
+    0x87f81eae, 0x0ca942a6, 0x0b663b3a, 0xe7daa8a5, 0x3493a3c1, 0x32403113, 0x139dd492, 0x7b0f1d79,
+    0x8ab9ba41, 0xb30d939a, 0x1f703828, 0xa709c885, 0x830026da, 0x7a38c568, 0xb47601c1, 0x0f242d5d,
+    0x15483bf5, 0xfd7c45ce, 0x20235d8e, 0x6db76792, 0xe3a9e982, 0xb675363e, 0x9db06f61, 0x6aad6d36,
+    0xbf3ae50e, 0x8501072a, 0x9cd7c370, 0x59931c2c, 0xe2e4be12, 0xf221dcc0, 0xb41d1dd2, 0x6fc996de,
+    0x40f5160f, 0x1e3fdcdd, 0xc8539f11, 0x12921058, 0xe44f251e, 0x5f5bf236, 0xabd985ae, 0x0e8cab84,
+    0x9b91dddf, 0xe1f0efbb, 0xa8a445ad, 0x71ac4ae9, 0x183c0771, 0x9194e11b, 0x73d53f57, 0x1d4eadb1,
+    0x8dfacfac, 0xc5b7866f, 0x2e2d6ff4, 0x9a9bb719, 0x51451da5, 0xef479077, 0x8f9b42a5, 0x435bb4ce,
+    0x397bd89c, 0xc11291fa, 0xb7bf7896, 0xb3da5eaa, 0x1606d1b7, 0x56751259, 0x7af21aa8, 0xa56c98ea,
+    0xe1a2c17f, 0xfb10af6c, 0xf9d8f0c2, 0x6736532d, 0x2dd05a09, 0x26de2f5e, 0xd116f84a, 0x91ed0faf,
+    0x7b3bacbc, 0x3d1be4f1, 0xc3bd4ec6, 0xcc14d943, 0x1196a779, 0xb0cc6989, 0x1def69db, 0xc7242728,
+    0xd5de4218, 0xc1dd74d8, 0x7ecd88ed, 0x97df6ede, 0x7e6d778f, 0x098137ca, 0x74b62715, 0x658dadfa,
+    0xa0d2ee2e, 0x567ba2fa, 0x56565011, 0xbaf1f225, 0x48cde2ec, 0x2aaae2dc, 0xdd9135eb, 0x20cbf49f,
+    0x2cb60cb7, 0x6dbd47de, 0xf825be19, 0x1845e92f, 0xd5fc7bf3, 0xac6a2ef4, 0x6c66ef98, 0xdf3afd44,
+    0xa86405c5, 0x37f8677d, 0x5fddfd3e, 0x4e25e6f7, 0x453b6d5a, 0x12237f23, 0x93c6d907, 0xba128224,
+    0x5241bcac, 0xa4ec279f, 0x13ed0e03, 0x9cdcf2ba, 0x8cd984a5, 0x408f0940, 0x73fda504, 0x9a5faa2d,
+    0xd0c7ee64, 0x2785efdf, 0x424e0936, 0xf73071e4, 0x90a5f07c, 0x98c312c9, 0x9a615da1, 0xc41af480,
+    0x72f14a96, 0x099d168f, 0x1e9a1390, 0xf1640a35, 0x10404897, 0x2f747fca, 0xda1b8c1d, 0xc634fcb0,
+    0xcdaf7569, 0x0fe8bf58, 0xb1217144, 0x50339659, 0x93ff0072, 0xe75c1742, 0xb8fe3126, 0x325d01ac,
+    0x359dead3, 0x0f69da03, 0xf94ed262, 0xa48c7196, 0x43f25c70, 0x15b62c58, 0x7ff41e75, 0xe551fe02,
+    0xbfba6941, 0x7b665f68, 0x8a459d00, 0x94e22044, 0x96fbbd15, 0xad974d97, 0x76c374d3, 0xb5782f4b,
+    0x5cb54edb, 0x4dc8dcd2, 0xcc41be5d, 0x5e6fb0e7, 0x07ca33a7, 0x4ef1a055, 0x1afad741, 0xfbfbf8dc,
+    0xd283b8aa, 0xffefc638, 0x29e0ec1c, 0xcccad2ea, 0xa5bce6d6, 0xde927c08, 0x171aa8f5, 0xf2db4f73,
+    0x16f7d11b, 0xfae28e04, 0x1e5592f7, 0xe3202676, 0x7daf48f2, 0xe0989ae6, 0x3365b06d, 0x57298dff,
+    0xb2bb47d7, 0xb2647f87, 0xff5e2933, 0x076ccbb6, 0x2327b254, 0xe0820fc4, 0x826fb906, 0xa8ce3748,
+    0x99823859, 0x0ec938a9, 0x361ec2ed, 0xd40b2d12, 0x97c72465, 0xd4720cf8, 0xff1a50f1, 0x0958cec3,
+    0xd55536fb, 0x12a08614, 0x70b906d7, 0x24c05d8a, 0xd4552b52, 0x938c580c, 0x6bd5e953, 0xd329e804,
+    0x46281527, 0xb53adb7b, 0xaa07f525, 0x5c8f3865, 0xeb8b4702, 0xd062a053, 0x57967f6c, 0x91b3d443,
+    0x92b63eb3, 0xa7023b66, 0xf393d53c, 0xd8527c26, 0x2e2123a7, 0xd0bddd7c, 0xedf596c9, 0xbd921136,
+    0xb15533b6, 0x74efaec4, 0xf8def9b3, 0x09ebb085, 0xa73f3544, 0xac33568c, 0x0bda27cb, 0x3875054c,
+    0x5f80d36a, 0xe0ac147c, 0x67be1671, 0x63514fdc, 0x397bb421, 0x910a71d2, 0xf74ad240, 0xea7e4e40,
+    0x5e995468, 0x1e8ffbdb, 0xe6f1f02e, 0x7b55ea2d, 0xaa28237c, 0x93504db4, 0xbf4c7df4, 0x28fdb7aa,
+    0xa20dbb4d, 0xcae4a856, 0xf52ba52a, 0xdca87bbb, 0x66bf5b9c, 0x5a186e47, 0x9d8c3230, 0xe7890980,
+    0x51884f81, 0xd756db3c, 0x0e5ce89d, 0xafcd4d61, 0x6f395bc9, 0xf8f2232a, 0x59bfe98f, 0x4fd0cc5c,
+    0x0b4b8e95, 0xb3213322, 0x527886b9, 0xd70e8508, 0x047ed4b2, 0x976334e8, 0x2332d269, 0x1e1c2934,
+    0xac7a9263, 0x5bf494e6, 0x8e4be42c, 0x982550fb, 0x5cb341c3, 0xf431a935, 0xda04bb1e, 0x48af1059,
+    0x5a2ef018, 0x56a0a489, 0x7a2c1e4c, 0x4a0a70d2, 0x5f089083, 0x1007ece7, 0xfc75626a, 0x5de1baf9,
+    0xc3f2dbae, 0x9867acf6, 0x683f5cf2, 0x55d6c34c, 0x168609ba, 0xf0a7d765, 0x0a2745da, 0x34992709,
+    0xe8117d96, 0xfb2969c8, 0xc87d0ae0, 0xe774ef45, 0xc401c3f9, 0x0455c1a4, 0xa07c562e, 0xbc5cfa98,
+    0x8d795edb, 0xd9d7e7b1, 0x8901ba11, 0x83fb2d83, 0xba101cb9, 0x75f4a1f4, 0x5e7783ea, 0x55b2f556,
+    0x6d6f78d0, 0x0f71def6, 0x96820a6e, 0x990511e6, 0xa8e3b056, 0xc99a35cf, 0xc7f35c7e, 0x76092a5f,
+    0x1761d9eb, 0x12cf1090, 0xea8f2a66, 0xd346379d, 0xf3c9a565, 0xed5290c1, 0x15357ce3, 0xeb367786,
+    0x47265721, 0x45b41649, 0x47c943f7, 0x75e83ea6, 0x1c50e336, 0x64433e6f, 0xdc919bb8, 0x2fb184ed,
+    0x1eb713d0, 0x31df25ce, 0xc778a206, 0xbf1cbf6e, 0x51cffef0, 0x609d2a20, 0x6a52568e, 0x52e8026c,
+    0xd50582ef, 0x6aba9ab2, 0x84645d54, 0xc8266756, 0xa7ff193d, 0xb76cd976, 0xac740ed3, 0xf21245e6,
+    0x2cdb2607, 0x4f660b55, 0x0101c410, 0x0e559223, 0xaf78f89a, 0x1288356f, 0x67f01900, 0xedc34605,
+    0x84281acd, 0xa37dbf81, 0x89e862ff, 0x5a37e937, 0x73477c86, 0x1289ef3a, 0x2763274f, 0xe0d847a9,
+    0x62b7075c, 0x31536716, 0x76951f76, 0x598e7665, 0x66bccd4b, 0x944c9d1c, 0x3e35027a, 0x9b7e37b4,
+    0x29a5621a, 0xfa601b6a, 0x1aacfae0, 0x61c08f93, 0xfdcb5337, 0x95284256, 0x54a5fecc, 0x53841818,
+    0x0dab6552, 0x5cd10260, 0x1039a5ea, 0xa458de53, 0x5fc640b0, 0x15f46858, 0x17fd0ef2, 0x962eb0bd,
+    0x5a97373c, 0xa80a1ddd, 0x205ca0d5, 0x6ef9bfb2, 0xe1a435de, 0xd279d3e5, 0xddbd016d, 0xc5973932,
+    0x1083d82e, 0x4a12e561, 0x98151563, 0x57bb4705, 0xf7533191, 0x37c303b8, 0x814931ec, 0xf6105926,
+    0xb82eb7b0, 0xc7b20141, 0x998986a7, 0x12fed3bd, 0xfe9f0abb, 0x06b59660, 0x0b10b509, 0xaf4a5486,
+    0x9ae58a4b, 0x4848640e, 0xa540fbc7, 0x4d669c1c, 0x1ed468eb, 0x3f2a24ed, 0x882ff398, 0x1d8cd8c6,
+    0xfcc2b326, 0xfd653ea6, 0x31c217f1, 0x505bd6f7, 0x63c66299, 0xa3d87289, 0x7bf47f97, 0xb7f95dc4,
+    0x4bd471e1, 0x407810af, 0x1493e62b, 0xd874b74e, 0x24376e05, 0x9e85a113, 0x07c9db40, 0xe2126b10,
+    0x7b185bec, 0x3e1056a0, 0x9e091a28, 0x3e9f916f, 0x3518b3d6, 0x18fd7d33, 0xb5e83c40, 0x5beb7b71,
+    0x88fa2cc3, 0xbf81da5a, 0xfc4cba22, 0xd6a0f41e, 0x65c64358, 0x746bed3c, 0x1ee191b1, 0x9b91db42,
+    0x99423138, 0x7bc69eae, 0x3ef32634, 0xa7225b59, 0x8f55fa9f, 0xdf1d2b2a, 0xece565e5, 0x87092476,
+    0x7b94050a, 0x95313559, 0x2fa3ed35, 0x81549bce, 0xcee3c855, 0x3c360dbc, 0x7b05346d, 0x07483c88,
+    0x84adf73a, 0x8fe49be9, 0x629bdbb1, 0x93186cbf, 0xca26d6b3, 0xdfb15111, 0xaa02a112, 0x2ac1b8d3,
+    0xdbda55a7, 0xfa2f32eb, 0x009f6fab, 0x51ea721a, 0xd803f4de, 0x0a43ff2c, 0x879b197e, 0x91aa5ebe,
+    0xe6c00677, 0xdb8ffc91, 0xe6ca1bc0, 0xa26c9bd6, 0x760c5190, 0x7e59b4cc, 0x092f10dc, 0x3edbc3e5,
+    0xec2ff291, 0xc7c4a516, 0x208b991f, 0x4bc68c94, 0xb160d76a, 0x48a0f46a, 0x411f5c2b, 0xda3db8c4,
+    0x5fc5aa4f, 0x202a9aac, 0x3c6e4997, 0xa70ebeea, 0xb3815097, 0x8a12ec53, 0xbeb24ea0, 0x7c94011e,
+    0x99c613b3, 0xa9b5b5d0, 0x127eea74, 0x34ab636c, 0x0cad9dba, 0x45d27514, 0xa3af1eb6, 0xa7c019ad,
+    0xf77e8102, 0xba0e0141, 0x00847497, 0x93673df9, 0x40fbaefa, 0xc6f3f2f6, 0x3f276992, 0x2dc6a412,
+    0x402cebba, 0x671e3531, 0xbca6fcb5, 0x70e0a172, 0x6a52ffb6, 0x7853cbad, 0xf2703a63, 0x0de71d63,
+    0x4b247cd2, 0x83c30a48, 0x8ff21fda, 0x9e67c621, 0x2d6a9f0c, 0x3a703e1d, 0xfcfdaf5d, 0xc76ead06,
+    0xfd5e3884, 0xb64572e0, 0x971e829d, 0x77abc395, 0x13b22639, 0xa14afac9, 0x3a81cf47, 0x53370fe4,
+    0x415968ba, 0xb36570a9, 0x15da9f49, 0xb8d2f0d5, 0x96601f49, 0xae6dcf8a, 0x08872db4, 0x55f07835,
+    0x00311ca9, 0xd36add93, 0x8a503224, 0x977a7c22, 0xfee92354, 0x44e2e309, 0xfd80c5c1, 0x35ea1b79,
+    0xd44d725e, 0xb45f050b, 0x007b24e2, 0x01358d26, 0x0b1b53c8, 0x8de53a34, 0x0f6c17b6, 0x4655677c,
+    0x4d7fdd89, 0x245c8b33, 0xf008333c, 0x028f5e1f, 0x20dd8f1b, 0x022628b6, 0x9dce8e9c, 0xdd285ebd,
+    0x027e4ecc, 0xd361744a, 0x429fb52a, 0x8272cf3a, 0xb66e4089, 0x8b143930, 0xf315b690, 0x38014094,
+    0x745dc0cc, 0x6ae47690, 0x0489a19d, 0xfeb099d1, 0x5275762a, 0x83974ac7, 0xa7d78d02, 0xefc44fae,
+    0x7cffc731, 0x96e476bd, 0x8acaa381, 0x2114dec4, 0xe486d6db, 0x25c0a0d6, 0x2c54e1dc, 0x2ef2fa32,
+    0x6c897ed9, 0x5db6aecd, 0xdec43ac5, 0x58cf3c9e, 0xf96d0047, 0xceae6686, 0x62497513, 0xd5b9d8cf,
+    0x1214aa09, 0x179ae3c3, 0xf2f3f651, 0x6485adad, 0xb5245c72, 0x79352ac1, 0x90630d19, 0x50f84736,
+    0xec84d554, 0x58519915, 0x1b7b382b, 0x093e48a9, 0x63168a86, 0xf8e3d19f, 0x5005d25c, 0xaf1d55aa,
+    0x269c8f2f, 0xa31e4fb5, 0xc2877ec5, 0x8f337452, 0xc29b6f6a, 0xa82dfbc2, 0x407b47d1, 0x8a6580da,
+    0x5256dbab, 0x4dba0510, 0xb3070de5, 0x6be494cd, 0x591a30dd, 0xa9867551, 0xe67de83d, 0x7a5285b5,
+    0x49a80880, 0x0ab011c5, 0xe0d1dfb1, 0xaa1d2df0, 0x2dd8313a, 0x4ae1ac7a, 0xc2cad6af, 0x1aa4f724,
+    0x16fac8f7, 0x7e94434a, 0xac6f0170, 0xb10bb81f, 0xd7b4fba6, 0xa7d1aea6, 0x946e147f, 0x9998e97a,
+    0x5479808f, 0xc7f1c365, 0xfa5712ed, 0xc2db8b68, 0x9c9c52b5, 0x31bb6a82, 0xca59f4ee, 0x1ee1501b,
+    0x81a0ebad, 0xd08075c8, 0xdef2e260, 0x67b717d8, 0xd3409fc5, 0x74660ba1, 0x9b1344af, 0xa386027e,
+    0xfe4c7dba, 0xc6095297, 0x5b549f48, 0x2d517e88, 0x06d7a654, 0x9dd1266d, 0xb4eb6229, 0xebacf27d,
+    0xf0d881a7, 0x801cec35, 0x900b88af, 0x41a88cdb, 0x3d248def, 0xf3c2696e, 0x88f5e4f3, 0x92d9cffe,
+    0xe88a5356, 0x1f5b0403, 0xad04a72d, 0x528b11f4, 0xf5b393f5, 0xd7be6cfb, 0x80f61c82, 0x4671b299,
+    0xcd64ebd7, 0x93ce8c9f, 0x918e4ff6, 0xa12d8a9a, 0x98258a10, 0xd7a6c301, 0xf00fc0bc, 0x9358d1e6,
+    0x669a0166, 0xa3c65e2d, 0x7f1900ee, 0xc428269c, 0x21ed9d26, 0x881b13db, 0x222939b5, 0x7b65970f,
+    0x684e9117, 0x9f864a74, 0x31a030fa, 0x90def80d, 0x826f4d4e, 0x73855935, 0x798256dd, 0x2ba72ad5,
+    0x8fa9168c, 0x805be97a, 0x46863e03, 0x46b69cc6, 0xf19fe86a, 0xe209ac37, 0x26287c99, 0xc3d7e737,
+    0x60e3c286, 0x6375ab1a, 0x70ef1da1, 0xf5b575fa, 0x28dcf59c, 0x0b58a297, 0x25ba7098, 0xdb614c43,
+    0xaa22f7eb, 0xf2bd73c8, 0xb9e62db9, 0x3e58a12a, 0x4c776a2c, 0x7cba0ffb, 0x6cf74ad8, 0xf807ada7,
+    0x37b6456d, 0x98fedef0, 0x87eda3b8, 0x44cae9dd, 0xb49a4016, 0x540a31e2, 0x70de5374, 0x7881154b,
+    0x838f4944, 0x68e185fb, 0x594cb94c, 0x28fbeab1, 0xc8fa0c3f, 0x676c9aa3, 0xe1e3eecb, 0x22d9a732,
+    0x8b25db5e, 0xff324548, 0xfd2109a9, 0xf629291e, 0x1c64deb7, 0x4011e006, 0x2d3e9f8a, 0x45f20209,
+    0x3ad2e676, 0xdf6337bf, 0xdd5aef21, 0x0a60e8c5, 0x63ba6ef0, 0x43a90051, 0x65f07f6d, 0x93aada0f,
+    0xc653b554, 0xc4c8e496, 0xb6e8d827, 0xd9c6564b, 0xa718c0bc, 0x7a2b419c, 0x9a2211e2, 0x1b8e2bf6,
+    0x6da3427a, 0x497c9658, 0xe8132901, 0x74e35669, 0xde989a5f, 0xd6e0cdfb, 0xa06e5170, 0xee90f011,
+    0xbc82138a, 0xfb692de1, 0x1654514e, 0xc69574f3, 0x139e15fb, 0x6a9e9a9e, 0x0dd16cf9, 0xbf326d9c,
+    0xead594f7, 0xf005f7b0, 0x8349119c, 0x4900bef8, 0xed514835, 0x6199f527, 0x652b37d0, 0x86f9a8c8,
+    0x9e95b456, 0x97f82fc3, 0xe81659e5, 0x50706a3f, 0x9490afec, 0xdd77d3ea, 0x7a12088f, 0xc21ff5c2,
+    0xef0e90bc, 0xe355cf34, 0xf1488460, 0x3ea27e6f, 0x1866bde0, 0x2dbf7987, 0x99fa4201, 0xef3e3014,
+    0x06ce5a72, 0x0e5625bb, 0x636b30ff, 0xf02e4154, 0xa7a4f2e1, 0x992be713, 0x6e2ce26d, 0x9347cc8f,
+    0x8c04e78b, 0xd37bc9b6, 0x1e1864c6, 0x8af94b8a, 0x99bf2bc5, 0x514c482a, 0x0b945b17, 0x22a8b952,
+    0x922f38b8, 0x9f55e3f5, 0xb7986c3f, 0xdb823c3c, 0xf40698b0, 0x875741ee, 0xef48e372, 0xa7aa385a,
+    0x3deaf844, 0x4b34b576, 0xac635ed1, 0x0a2cc315, 0xbfc22399, 0x864cfcd9, 0x7f82fc78, 0xf69ee9b9,
+    0xf7bc78ee, 0x51d8570d, 0xfa8d118f, 0x4763708d, 0xf8b1709b, 0x7a6c6ff6, 0x53407b91, 0x01b1d0c9,
+    0xbb0f6cf8, 0x3e3ec075, 0x4ff433bf, 0xc88592f1, 0x1da64160, 0x92801f3e, 0x435e3f33, 0x51e1de7b,
+    0xfbd62e68, 0x562ac38f, 0xbd8cba46, 0x128138eb, 0x8c831694, 0x59ab07ae, 0x560f86dd, 0x9d771fbe,
+    0xadbb3976, 0x1bc9634c, 0x32b268b5, 0xcd4ffeb7, 0x4723dc9d, 0x3e2ee291, 0x22177c37, 0x33fc7ccb,
+    0xf7a7fc48, 0xe2a3f4d9, 0x9fd7045a, 0xf9f029a9, 0x035ac94b, 0x179b0523, 0x91d02eb2, 0xe729e26f,
+    0x55b17853, 0xea74daa6, 0xd6a63969, 0x3621e5b6, 0x965e86d8, 0x89546ec5, 0xe46761ff, 0x77540f4f,
+    0x717a134d, 0xfcea3153, 0x6c79fcac, 0x5ad7ff4e, 0x16e37ccf, 0x701d7e42, 0x8acbd055, 0x1a0c3734,
+    0x85523ec1, 0x82e7377d, 0x7ae933ac, 0x1a962771, 0x7a947bfb, 0xa901cdec, 0x625bbac1, 0xaa9b4507,
+    0xfeccd9da, 0x59e68273, 0xd7b92472, 0x3596a00d, 0x51b1c1cf, 0xb23573a9, 0xccdbabd9, 0xd20406bb,
+    0xb808ba34, 0x858bbb48, 0x62c59a1e, 0x58cfedf7, 0xbb30d16d, 0xd789ce73, 0x4cdfea1d, 0xe6ca40d0,
+    0xc760b0e5, 0xcea4d990, 0xe0130412, 0x3d8ece78, 0x5d78fa5f, 0xd5e00417, 0x54d027c1, 0x7f6261b9,
+    0x6e7a0c9a, 0x860c222c, 0x15a4f88a, 0xc647fe23, 0xf89d72d8, 0x5344877c, 0x7e9c3547, 0x77474933,
+    0x54e31b64, 0x035f3b1c, 0x12e2ad91, 0x4cf814ed, 0x7442093b, 0x51316536, 0xe2a2f5bd, 0xe9db9943,
+    0x953376b1, 0x7b391ea6, 0x9956c58d, 0x21be33c5, 0x84ee5509, 0xf0548ca2, 0x2de2843f, 0xd6e0afd1,
+    0x713f270c, 0x217dce69, 0x17abe82d, 0x9506c9cd, 0x5ae4fff7, 0xce636f94, 0xc0ac0e98, 0xf404a98b,
+    0x1e3dc2e0, 0x7085dc73, 0x032a9781, 0x2f9a10d0, 0x58306b88, 0x3e26b15b, 0xe482300a, 0xf285b186,
+    0x00000000,
+    0xfe2c59a8, 0xacb94a99, 0x86bdc900, 0x75a17ac2, 0xc497d56c, 0xbaa3e747, 0xcca1fbd3, 0x5cf0b3a0,
+    0x36d59010, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x4000001a,
+    0x00000000 }, /* 10**00000000249739884025279378510527778383453304459887851413197692068732556770029\
+                         73910558124960962448824507935769278615448971252983163583805434306282450321408 */
+  { 0x00000000,
+    0x769e6eb7, 0xd3534551, 0x3ec7f2f0, 0xc27aba07, 0xe046155f, 0x1c1aa264, 0xeae35d97, 0x3bdceabb,
+    0xd8b6e5b3, 0x108eac84, 0xf89d3833, 0xb2716481, 0xdb8b1680, 0x5095b44d, 0x4ce4a208, 0x39e2d9c9,
+    0x7ba0eb7d, 0xdfca123d, 0xc653a5aa, 0x1c7e817b, 0x493cceff, 0x6b9788e8, 0x4cd9a3dd, 0xe66ffffd,
+    0xf11ebdcf, 0x1af0b4ab, 0xdc603f46, 0x90985e87, 0x998fc713, 0x38d40f16, 0xc9deeb9a, 0x12745c8d,
+    0x4b6c4538, 0x79edd330, 0x3711724d, 0xc881e671, 0x0e6ea7b1, 0xb3905d5c, 0x4d0ae51b, 0x6b00603e,
+    0x054fcd93, 0x1de1fad7, 0x548577f3, 0x6fe0034d, 0x4fa1ea2f, 0x9ddeeaf3, 0x061dbfca, 0xe87385ee,
+    0x6aadd5ff, 0xff386e71, 0xf5953f46, 0x59308196, 0x00b47528, 0xa26ac7cf, 0x44009e78, 0xf878ab5a,
+    0x7e2fa94a, 0x02d5cee8, 0x8d466253, 0x67821272, 0x4d9391a4, 0x6fb2676d, 0xc45e6f13, 0x024c471c,
+    0x6d6b8fc0, 0x73a5837a, 0x799a902f, 0x5c3487b0, 0x236c2611, 0xe8327902, 0x385c220c, 0xf21c9819,
+    0x17a867dc, 0x0b69e185, 0xa051aa1a, 0x5ed0fec1, 0x9eaa393b, 0xc11697a3, 0x33a860d4, 0x27c71f6e,
+    0x54071dc1, 0x91c75b4f, 0xf3cc9512, 0x7ffdfb9b, 0x38ae8455, 0x935c15de, 0x8b7863e3, 0xb8af0b0d,
+    0x97954aad, 0x7d334e6c, 0x5d90c003, 0x23cca786, 0xe4600792, 0x240d5f00, 0x532206cd, 0x53194f3d,
+    0xcd8c4049, 0xcedb7f53, 0x5f1efba6, 0xd4fcc6aa, 0xb48fc253, 0xe25c531d, 0xc4d95d02, 0xa8a7547a,
+    0xfacfc05e, 0x0a3b0b68, 0xeb1c9808, 0x351c2dfc, 0x7ea0d03b, 0x939434a0, 0x9345c358, 0xa4abb4f6,
+    0x1d62f49e, 0x0814d51d, 0x35cd6088, 0x2610515c, 0x3ab1c029, 0xefecc002, 0x1041bcaa, 0x31c23e34,
+    0xf5d2ea7c, 0xd10eb98b, 0x983ee8eb, 0x4469a4d1, 0x2cfb361e, 0xfdce34a0, 0x36cb4e0b, 0x7c3a5965,
+    0x5aa44304, 0xc45e919f, 0x5227825f, 0x187061f7, 0x9ec00650, 0xb725ecd7, 0xf58e9c1c, 0xca6435f7,
+    0xaadfac1f, 0x8234c7ff, 0xe13464f6, 0xfad0ebe1, 0x3698ef28, 0x8670e5c3, 0x3ad0726a, 0xf6923c41,
+    0x8af30a12, 0x4b0b8919, 0x7a6302e1, 0xd7cdf4c9, 0xa5d4ac64, 0xbe41ae4a, 0x7f907ad0, 0xfa645f3b,
+    0x2295c6dd, 0x056db088, 0x5207dfee, 0x4a88fba9, 0x63146a2c, 0xe106cbad, 0xd0b9785e, 0xd63e885f,
+    0x3258302d, 0x020b3612, 0x30c984e2, 0xc47666ed, 0x2826c3df, 0x7688ab12, 0xe6f4f8cc, 0x8f9b8eb4,
+    0xcbe89aaf, 0xb4512f5e, 0x74b96cf3, 0x036d7c24, 0x45c7446f, 0xa7ad01dc, 0x54411b94, 0x79976770,
+    0xb7b24b91, 0x516a2da3, 0x01ae247a, 0x7960a5af, 0x95e4f8e4, 0x6f76e56f, 0x7d477c09, 0xa56ad9a1,
+    0x3eebf64a, 0xf4cade5c, 0x89639476, 0xa782db40, 0x65cbb1f0, 0x571458e5, 0xc5c9a16d, 0xf316496d,
+    0x10d3cbf1, 0x3ae3066b, 0xb78ef642, 0x5a0e7bb4, 0xc3b19467, 0xb1980b99, 0x8ad9c5d2, 0x6b95f95d,
+    0x0544c791, 0x19094d78, 0x3eac87e6, 0xbcb212e8, 0xce7d140c, 0x4627c87f, 0xaa535994, 0x91e474e7,
+    0x8fc9b3b8, 0x5a73c4b8, 0xb65cf2f9, 0x6505060c, 0x989515c1, 0xdbbbe31c, 0x5ecc3cf9, 0xad056340,
+    0xca4829f5, 0xc24dcd74, 0xecc266e7, 0x6e2f15ff, 0xc02ae2b9, 0xf0aea154, 0xb23d1d77, 0x747b75d6,
+    0xdc1a2609, 0xd2bc9e20, 0xe281fba0, 0x860fd882, 0xbff93ac2, 0x0895db17, 0xd470766c, 0x88ac3ff7,
+    0xda416b4b, 0x6f5722bd, 0xa7e159c4, 0x6de2c03b, 0x721f7ff9, 0x7b56b3fc, 0x88c9a243, 0xd03b3400,
+    0x53971579, 0xa99c7708, 0x474b8ea0, 0xa5e85f3d, 0x3c16742e, 0x9e987c54, 0xe09124d4, 0x0dba5e7b,
+    0x10b5d4e9, 0x5ffa2cf9, 0x31e94919, 0xe03458e8, 0x5e30560e, 0x84ed01d4, 0x99352ea7, 0x7408279a,
+    0x1963314d, 0x2cb3cda1, 0xb85be5d5, 0x30d12e77, 0x7de495da, 0xbdf0927e, 0x17f79c4b, 0x4ba29a9f,
+    0x8472fccd, 0xa88a0baf, 0xbb3eb5bb, 0x391bde93, 0x296012fd, 0x615c2b7a, 0x23bd74e5, 0xd9a35d78,
+    0xccd8a6dc, 0x85ed6498, 0x2c1a6a3a, 0x767a206a, 0x938abacb, 0x4711f70f, 0x21ab163b, 0x3edb603a,
+    0x91aefc15, 0x694ac877, 0xb43cd525, 0x9f49bda0, 0x135d3989, 0x761a0966, 0xb54c1df4, 0x6f791a03,
+    0x23796bf2, 0xe2b83e8d, 0x2b70324e, 0x3447071c, 0xda0ce6bd, 0x890499c6, 0x383dd1c4, 0xa81ab135,
+    0x65bbe8c4, 0x01011a7a, 0xc0ec207f, 0x0177c45a, 0xbb647413, 0x95c3296c, 0x24f762cf, 0xd24c809b,
+    0x51545414, 0x1e9122e3, 0x5107945b, 0xe53b24a7, 0x04f8589e, 0xdafd5efe, 0xea770987, 0x74be663c,
+    0x0ca2b7e3, 0x37f8f257, 0x36855625, 0xd6bc8231, 0xc76b3c5f, 0xa12cce95, 0x6a52d99b, 0xead9008d,
+    0x2680f83f, 0x6ebeea99, 0x576fa839, 0xff495200, 0xad954267, 0xaf950533, 0x0686c706, 0xf5916922,
+    0x2f55c312, 0x64e9dc62, 0x8252445b, 0xc6a978d0, 0xf1b842c2, 0x7a778bea, 0x14988c6f, 0x92eb6593,
+    0xe475786e, 0x20cd35f7, 0x45dd6a82, 0xdb258c03, 0xf8715e08, 0x05d7b8a4, 0xffa0fa0c, 0xe50e091b,
+    0x8163f5ff, 0xf4456e7f, 0x673cc89b, 0xec83d683, 0x009d746e, 0xd5b4ed7b, 0x44a9c0f6, 0x0236e2ef,
+    0x14ba1dbd, 0x7f6fe975, 0x71b4f973, 0x5cd0becd, 0x06b24391, 0xf3c94515, 0x8614afe2, 0x0b03cb5b,
+    0x4eb3b112, 0x49c0d01f, 0x18f1fa8d, 0xcc87eaa5, 0x24139d9e, 0x5f434019, 0x542e72d7, 0x1ee947b4,
+    0xf5cec092, 0x474be42c, 0x85546279, 0xe3953aa4, 0xa32a7403, 0xa9df6c02, 0x74d1f8fa, 0x1a2299db,
+    0x90b97e90, 0x4c3f8719, 0x79a8a9ad, 0xb203bb83, 0x87ebc793, 0xfea90588, 0x1e6f2f3f, 0x0b725f7d,
+    0x8569cd35, 0x5485db76, 0x97d7c83e, 0x5d5eb7fe, 0x636ff783, 0x1b048fa7, 0xd57b12b1, 0x7ba964cb,
+    0x9b1d382c, 0xb611ada4, 0x8a4aa998, 0x18200da6, 0x5448e65b, 0x8f84a620, 0xcc10f643, 0xe731f73f,
+    0x2734c76a, 0x279e7b96, 0x5f434557, 0x3e2d7881, 0x3e382f22, 0x78e585b6, 0xc3b66baf, 0x2b2db6ed,
+    0x4e67dede, 0x9c6369c5, 0x12d37418, 0x7b865475, 0x30d862df, 0xa725b742, 0x6da082fa, 0x788fa58e,
+    0xf17fb36a, 0x1a5c7ef6, 0xff414ffc, 0x3058bf3f, 0x60486452, 0x6bb11440, 0xf7e470d8, 0x26373785,
+    0xa86a3f3f, 0xfa551b3e, 0xb63b14da, 0xe3bcaf7c, 0x522a8958, 0xbfb0e29a, 0x6c67475a, 0x7fa59797,
+    0x047e07b3, 0x4c8ca03f, 0x05a455e1, 0xa889c333, 0x7dade164, 0xce333214, 0xb9b36f52, 0x6f564827,
+    0x2f00a20e, 0x1cb465b7, 0x62068414, 0x49e38cb0, 0x956bfc53, 0xa98e35f7, 0x76e0f6af, 0x04a626d2,
+    0x750f97fe, 0xb23aca3a, 0xdf03bcbd, 0x1e58caab, 0xbad65f6b, 0xcbffc742, 0x5bc313e5, 0x46d5a478,
+    0xf2bb18e5, 0xb6d8ec71, 0xd386b1b8, 0x3dd90f18, 0x2dfd406c, 0x0b677b0a, 0xca0ac314, 0xe81c03b7,
+    0xa3f82030, 0xc4b4ea43, 0xfa1845b1, 0xc59110ac, 0x409f97ca, 0xdc46533a, 0x522a5111, 0xcf0bf332,
+    0xeef6f981, 0x564af3e3, 0xc5d815a1, 0xfe029f01, 0xb6a563d0, 0x88d4f9e5, 0x95cb6094, 0xd6888b89,
+    0xd58591a3, 0xb0aa4dd0, 0xd27c37bb, 0x4480e9ef, 0x7d9be50e, 0x91837333, 0x7043002b, 0x39b31ca1,
+    0x91176f20, 0x0f609997, 0x31762f9b, 0x61edf41a, 0x78890a58, 0x4f2634d5, 0x0b07e011, 0x893283d2,
+    0x09305f4c, 0x1a8bb1b2, 0xb906436b, 0x17a3d438, 0x340662aa, 0x71e9131d, 0x19487d9c, 0xeef727d9,
+    0x79f52b06, 0x23ad6458, 0x74ece8c1, 0x10ffb664, 0x9b71db5d, 0xc4571e5d, 0x702545ed, 0x40889f2b,
+    0x3863eae7, 0x852513a4, 0x6320c3da, 0xb397471e, 0x80b3e134, 0x063e3cab, 0x5dc73ac3, 0xe0b9d2ef,
+    0x7048b393, 0xbb5bf80e, 0xcc461687, 0xcbaec99c, 0xf8be02b4, 0x17db9998, 0xf9fdc11c, 0x06aa51ed,
+    0xade870eb, 0x4b4f3690, 0xa1bb891c, 0x8615c746, 0x02892375, 0xcee2f661, 0xc6a23d59, 0xa9ecdfca,
+    0x73bc8a94, 0x032f7eee, 0x4069ffe7, 0x0ebdadcc, 0xc45b719e, 0xc29cf11a, 0xdc71dd79, 0x3dabeb66,
+    0xde3cc84f, 0x0d602a4e, 0x6fc08961, 0x09a478b0, 0xa0f3b6dc, 0xa3746ffe, 0x70d05666, 0xd51ab9ef,
+    0x6afdfef7, 0xc7c33e30, 0xadec402f, 0xddf9bb3c, 0xfdcb56fd, 0xba5cd318, 0x077d9184, 0xd05ae7b2,
+    0x6f26e4c9, 0x15e75af9, 0xe5e7e3b7, 0x612266dc, 0x9cd34006, 0x05c55e82, 0xf6a95527, 0x2ce9d4e4,
+    0xef6cf7b6, 0x02854d2b, 0xdca02842, 0x035aaae1, 0x071367df, 0x405ee7bb, 0x45adf9a1, 0x476c931d,
+    0xb2e8beb5, 0x531e2742, 0x4ee570d1, 0xce88bd0b, 0xc0677885, 0x3bf52176, 0x031700ca, 0x6eda9177,
+    0x158efc65, 0xd4f4a7b6, 0x3646fd10, 0x9d671270, 0x9042892b, 0x9a11a196, 0xe0d7e55f, 0x94efc0d7,
+    0x07f298ee, 0xc756bff0, 0xd39faad3, 0x414a68d0, 0x5e993e16, 0x1b16a17c, 0xe463496b, 0x4a4b50c3,
+    0x7f713c1c, 0x09a44207, 0x5913e29b, 0x43a8d578, 0x53376fdb, 0x1c86abb9, 0xe08c78af, 0x1cfe2fc2,
+    0x0aaad49b, 0xb0a85fec, 0x87d53239, 0xb3584220, 0x7a1c56cb, 0x80c86ceb, 0x2b4556f7, 0x29b4186d,
+    0xa4b2861f, 0xbc07fe59, 0x0fdd3e35, 0x39d38d4d, 0x08c6c5d8, 0xb1b690a2, 0x21943f33, 0x0d9dee38,
+    0xee34107a, 0xda80d2c8, 0x1caac3ce, 0x841ff426, 0x2d7b9335, 0xe110965a, 0x3d3ab29f, 0xbe5da6ff,
+    0xba6515eb, 0xa26b95b4, 0xdf0e3dd9, 0xe281ebe9, 0x924b6760, 0x7728b6a2, 0xf77baf31, 0x6d5d5cf5,
+    0x0f36f160, 0xc1a6033d, 0xdfa960d8, 0x12a47ef6, 0x63e69261, 0x8d107a82, 0x38807bcb, 0xa247709c,
+    0x957856e5, 0x7f521cfc, 0xae7e1492, 0x2bc08dfd, 0xbcebfc47, 0xa9949e25, 0x0e20c6bb, 0x84b54aa2,
+    0x2adb5190, 0xea9133c1, 0x9d29ace9, 0x662105a8, 0xde31bd71, 0x1707b8c0, 0x770853d3, 0x12b18078,
+    0xa3d5f1fa, 0x8a474db8, 0x07158346, 0x093f0b20, 0xaf5012be, 0xe46c4dac, 0xf954b145, 0xc78e2022,
+    0x3fc00078, 0x7dd0a1de, 0xe41a9d95, 0x3007c0ca, 0x843d1790, 0x4c7f56f4, 0x26fc8579, 0x3a34379f,
+    0x4bf7cceb, 0xd9481562, 0x2c199ede, 0x9920e26c, 0x8da7d113, 0xcf29e5f4, 0x63caeb29, 0x5d7fcdf9,
+    0x95ce541b, 0x6d23980d, 0xda139dc1, 0x0c8d9145, 0x201621fc, 0x0a377be5, 0x50874473, 0xd0c1b1ac,
+    0xe771f595, 0x8f01718c, 0x71ace154, 0x5a047dc5, 0x6832c102, 0x991c0e97, 0xf42d5966, 0xb164769b,
+    0x5e9dd8a4, 0x13f106a1, 0x474fc7f0, 0x80107536, 0xca14adf8, 0xcbbd2e56, 0xba1c32e9, 0xb9e00311,
+    0xc1d7bd31, 0xa851542a, 0x770c3ea7, 0xad0a3467, 0x7396898d, 0xf245d3c0, 0x513bb3be, 0x36a7bc45,
+    0xea7a7c88, 0x6fa09d83, 0x22a20fe6, 0x92b60515, 0x25404563, 0xfd68cc05, 0xc4fd81d7, 0xb4cd18b8,
+    0x03838120, 0x41773035, 0xdd1d9e57, 0xb9e86737, 0xcecfb00f, 0xa34fa3b1, 0x672ccec3, 0x49fcbadc,
+    0x24ab8525, 0x22455173, 0xb664b061, 0x7e588cb9, 0x4d4a6561, 0x2c7c072c, 0x05e8521e, 0x7b66bd0b,
+    0x4fe53722, 0x8ae7dd61, 0x76fc0ec8, 0x0ac562d4, 0xcf595bae, 0x0d2653f6, 0x49c864f7, 0x5dacc701,
+    0xf89993d5, 0x828c899f, 0x29673a02, 0x61cc6721, 0x886b9fd9, 0x26c47bf9, 0x4304d7ad, 0x2abe7108,
+    0xc8f906db, 0x783a93b6, 0xfb6a18fe, 0xb4807f99, 0xd995fa57, 0xbbbb2f83, 0xa5cd3d4a, 0x0d1e5e15,
+    0x66c9dcb1, 0xd6ab7683, 0x5f0d593a, 0x7d36588f, 0x2815dd38, 0xd6d9963c, 0xadb822cc, 0xfc5c643f,
+    0x19da8d92, 0x2e9939a3, 0x36e57346, 0xba5699d5, 0xfd9989c0, 0x8233ed26, 0x4056511f, 0x33bae064,
+    0x678e3334, 0x922d8077, 0xcda976c5, 0x9ed8de85, 0xf13f9e95, 0x9ce46f26, 0x054c0f2d, 0x8f401020,
+    0xd26dd789, 0xfe880d44, 0x4c9e1d2c, 0xa773b702, 0x5764b8a6, 0x72768e70, 0x6237e2e6, 0x7e91da99,
+    0x8ae8921b, 0x7e02cfa7, 0x020c108b, 0x20913432, 0x4468a2cd, 0xb41682a4, 0xa79c0149, 0x77109012,
+    0xf3537ae8, 0x9991218f, 0x191fb59e, 0xf2acd714, 0xdf387091, 0x652f6111, 0xe87a2bac, 0x009b8bcf,
+    0x994896f4, 0x63643c0b, 0x65372c62, 0xf1908222, 0x8a775304, 0xfc173c05, 0xd624acf9, 0xe6fba721,
+    0x10048c22, 0x809167bd, 0xf8beba3a, 0xbab0292b, 0x2bc741f8, 0x1a16a21a, 0x4d19b14e, 0x805a0a2d,
+    0x169bc948, 0x9aa3f75c, 0x831ca89f, 0xd0172f52, 0x6fdd3e90, 0x120ec4ad, 0x996b6051, 0x141546bb,
+    0x9711b1a8, 0x7ce0618e, 0x66825179, 0xafcee3ae, 0xa6b10ca2, 0xe3249b14, 0x3a491d46, 0x0f0e2caf,
+    0xcdd5346b, 0x41932d38, 0x79db15a3, 0x73bbe63a, 0x6e1f0127, 0x629b9c72, 0x568c8d8d, 0xae60dea8,
+    0x98e1e0a0, 0x902e3efd, 0x81867eee, 0x97d07c12, 0xdb9daa20, 0x6d9e61d9, 0xe65ecd8a, 0xea415eb3,
+    0xf7b6bc23, 0x0f2436be, 0xe94948dc, 0xdd222c94, 0x51f35a8d, 0x4d3a9496, 0x389c0462, 0xd32c301e,
+    0xc2c36ce4, 0x0156e626, 0x1dc453a3, 0x2beef8b6, 0x65d85686, 0xb4dd3629, 0x9729122f, 0x64063993,
+    0x9d0fa2ad, 0xbaae10b7, 0xcbe52e0b, 0xff474d57, 0x749218fc, 0x788aebdb, 0x10fe35bc, 0x91368097,
+    0x51ab6217, 0x75ca37f4, 0x04c981e2, 0xe3d6579e, 0x24731ee9, 0x5847c8e0, 0xa0acde06, 0x305f5b16,
+    0x1041c21e, 0xc9335238, 0xa2f0d998, 0x0c0b5aba, 0x5db81315, 0x0bf19dbb, 0x886ee9a6, 0xf62451a2,
+    0xfb402ade, 0x038ac782, 0x88a4b5a5, 0xe95d65fe, 0x40440637, 0xdae3c062, 0x13434ac0, 0xe8ed2fed,
+    0xd640b519, 0xc48b4b5f, 0xdc948761, 0xd2755149, 0x478442ea, 0xd8385bd3, 0xb5013fe8, 0x94e18d7b,
+    0xc5c4745d, 0xf138c97c, 0x646ca175, 0xe4a11303, 0xade93df7, 0xff42f9fa, 0x8830ed2a, 0xa237987d,
+    0x07e74974, 0x0faa5ac7, 0x5a5ac53f, 0xde4c7e09, 0x90178b2c, 0x9ad1fc3e, 0xe19d310e, 0x96bba269,
+    0xb689934b, 0xd502c497, 0x6a096ed0, 0x9b62a4bf, 0x4daa07c8, 0x6d9b89df, 0xecc02e6c, 0x4d1261b2,
+    0xc0dc2e99, 0x04cc16f0, 0x571d05ba, 0x48f15132, 0x11798f36, 0x39d63f6d, 0x57b91b6f, 0x154037e6,
+    0xe3b8656c, 0xec36c4fc, 0xe384b6c6, 0x1273d248, 0xcf2ec895, 0xf2ec5cbc, 0xc8ccf0a8, 0x66d483d2,
+    0xf3ee4204, 0x5d8d947e, 0x36ea57fb, 0xec8253e9, 0x8933042b, 0x01096350, 0x0767cae4, 0x415b2748,
+    0x467a4705, 0xaeb30027, 0x5bcca411, 0x34d043f9, 0xc922258c, 0x802fc754, 0x2b27a30d, 0x382f8563,
+    0x5c2107a0, 0xfa6a12d2, 0x65f6e10e, 0x8d84315a, 0x247f8faa, 0xb9c63345, 0x5dd19ee2, 0x878d80fa,
+    0xb91fd685, 0xd0def239, 0x27c5c51a, 0xafad95a9, 0x82d37cf3, 0x38e40423, 0x26f7b6d7, 0x9e3e3f33,
+    0x00881e90, 0xe141be93, 0x068d240e, 0x8824e813, 0x41733a50, 0x05de787a, 0x1e98a5ed, 0x6a9aab29,
+    0x197fc2f0, 0xc8384133, 0x762b4325, 0x5ad492f9, 0x2012f45a, 0x608c6981, 0x64186441, 0xf92b85b8,
+    0x00000000,
+    0xff162cd3, 0x565ca54c, 0x435ee480, 0x3ad0bd61, 0xe24beab6, 0xdd51f3a3, 0x6650fde9, 0x2e7859d0,
+    0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x4000000d,
+    0x00000000 }, /* 10**00000000124869942012639689255263889191726652229943925706598846034366278385014\
+                         86955279062480481224412253967884639307724485626491581791902717153141225160704 */
+  { 0x00000000,
+    0xf12b64e1, 0x427522f5, 0x4d2c8294, 0xe233688b, 0x32756869, 0x218d1fdf, 0xf5018f91, 0x41ddf042,
+    0xf30a87e4, 0x9e4ddbb2, 0x536baa60, 0x1faaabf0, 0x711ef51b, 0x502f9d3a, 0xd0c302da, 0xe4234f13,
+    0xbe4f56ca, 0x109f811c, 0x8a2f9786, 0x39f23f46, 0x6d52ac4a, 0xa18c46f4, 0xe62f666e, 0xafde8450,
+    0x4bae8100, 0xa506a50d, 0x14f205b0, 0x6e5eddb9, 0xfd9d4aa6, 0x8bd56928, 0xb1f35a32, 0xb6f35963,
+    0x17226563, 0x5fc19b0c, 0x77dd4f7a, 0x361c80c0, 0x12a82c95, 0x5870059c, 0x3110d09f, 0xd8456117,
+    0x7362e9e6, 0x2306552b, 0xd74ddce5, 0x297e7f59, 0x6c7288ce, 0xbaabdb55, 0x3c39c302, 0x059d6c44,
+    0xbac02197, 0x2ebde21b, 0xb0a19593, 0xf9612fa5, 0xe567b57e, 0xcd850221, 0x0bcd6ec7, 0x4388d3d5,
+    0xf70621ed, 0xc56a32b7, 0xf43b201c, 0xfe542c4f, 0x9c2039cf, 0xf3b5795f, 0x80c33d3e, 0x54a4b7aa,
+    0x543e5f33, 0xc3d1b0ac, 0x05bd244e, 0x37fa2f89, 0xe7c60f77, 0xbd38a109, 0xb243cd5c, 0x3b4e262a,
+    0xa4a8339e, 0x020686d3, 0x784a970e, 0x799a6a2f, 0x70b8d48b, 0xed4d9900, 0x30663223, 0x2cb10706,
+    0x8ce70236, 0x77b9cc5a, 0x6624d541, 0x5fbaf27c, 0x46d953ce, 0xb64cd567, 0x26b938a3, 0x6d9d22b3,
+    0xa21bf2b9, 0xe8efec91, 0x3fe68eb2, 0xd0e63700, 0x34f9d14c, 0x0c630fe0, 0x1ffbf2a8, 0xa7e1b3fa,
+    0x496bde97, 0xf4d88540, 0x295254c1, 0xedc8fc90, 0x1bf48d75, 0x47ed26f7, 0x1ace8013, 0xd255f4fb,
+    0xc90ea986, 0xda97318e, 0x16be4281, 0x49bb2863, 0x8b2753e2, 0x9e88d365, 0x2f8a6189, 0x354c79b0,
+    0xe4494f93, 0x63a9b7c9, 0xe3b688f9, 0x5183a453, 0x89ccb1be, 0xed6c1d9b, 0x46f630d1, 0xc9b0c911,
+    0xe00ae840, 0xec1aff0c, 0x1003c6c0, 0xc0cf51db, 0x37ca95b0, 0x3ebaca5e, 0x12ad0aac, 0xf4acbcab,
+    0xd51e8455, 0xadec0b10, 0x71cd7a8c, 0x2a416d31, 0x962c5417, 0xc4e231b2, 0x67486bbd, 0x4f8b1aed,
+    0x86a78439, 0x6b7b0478, 0x1244f5f4, 0x52add468, 0x6c493792, 0x580bba31, 0x9cbc50ed, 0x9a506c4c,
+    0x5d99b766, 0x09678527, 0x39490a0a, 0x103a8fb7, 0xc27e97b9, 0x45a6198c, 0x4a8a1469, 0x168e13b5,
+    0xa8dea085, 0x4fa13c2a, 0x6f20acc9, 0x939ef2e2, 0x3ecdde77, 0x40a8020e, 0x17720d98, 0x2704d9b9,
+    0x4920751c, 0x48eeff4c, 0xff31110a, 0x488bffd0, 0xad94c766, 0x260d4764, 0x73b0eb28, 0x311f2c1c,
+    0xa5531766, 0x7d63407a, 0xf7d43c92, 0x1a825edc, 0x26667f30, 0xcc80fa79, 0xee71e2a5, 0x6f481b1b,
+    0x6e4a0eb4, 0xe21a44fd, 0x02dbb282, 0x475ac408, 0x1f51e038, 0x5b408137, 0x2e044659, 0xb6106ec4,
+    0x4d54da4f, 0x53ed6a46, 0x963a0da6, 0xf3dbb832, 0x3a68487c, 0x6fe6a6f7, 0x868bf7d9, 0x77868c1d,
+    0x7303145b, 0x073caec6, 0x32b3d287, 0xcea2d64d, 0xc0d5e548, 0xefa18d3e, 0x5df5f910, 0x6a4e6922,
+    0x55b597b0, 0xbfbb320c, 0xb6c90ba2, 0x0b0854ff, 0x3294f98d, 0x4d11c5f0, 0xd57ba639, 0x504b32a3,
+    0x2e4b67c6, 0x86820011, 0x49aa561c, 0xe343f32a, 0xd83700e8, 0x0f72842b, 0x3bda5030, 0xe1aa4744,
+    0x7a86f2ec, 0xaa485ea3, 0x1da6f69e, 0xdeff34ac, 0x3c216827, 0x18a14a3a, 0x67890b59, 0xe60b98c2,
+    0xf942819c, 0xbbcaaf20, 0x61699d89, 0xb1be6b77, 0x2d92a0df, 0x26d5eb29, 0x6d723f82, 0x9483a5de,
+    0x03c4295b, 0xe80cc836, 0xa44a9c10, 0xbbca9c7b, 0xb46486c7, 0x26dd834e, 0xccb17b4a, 0xd56d4558,
+    0x68691b09, 0x20265997, 0xe3a15e20, 0x4bdab753, 0x7f79acea, 0x932eab48, 0x124fa12e, 0x43d41c64,
+    0xdfe7a682, 0x2d72c0ab, 0xa7ace87b, 0xcefb28b3, 0xc212b63d, 0xf0495081, 0x00855d25, 0xe34b2ec5,
+    0x085d1402, 0x7bd09be3, 0x27de766d, 0xdfe5519b, 0xfa0b642f, 0xb4f7ea16, 0x6dd2f672, 0xb782b526,
+    0xc913d5eb, 0xc0ea77c1, 0x2d20cbbf, 0xf187456d, 0x98664ee8, 0x503a0bc1, 0xae63a070, 0xa9dd6d27,
+    0x6c3b6708, 0xaed404b1, 0xbe571228, 0xcc3661e6, 0xac234130, 0x60d4ff03, 0xb0eeb1b9, 0x3e6ada55,
+    0xffdc4688, 0x0a4a933b, 0xce212d5f, 0x0a70818a, 0xc83982bf, 0x91b2489d, 0xcf5d221d, 0x60b9bfe7,
+    0x2d1269ff, 0xcf134050, 0x1def0763, 0xde3d0cfa, 0x82b84043, 0xe350bfdf, 0x94731c65, 0x0f39757f,
+    0xaa3ca812, 0x87069b14, 0xb8a4a4f7, 0x582f6c4d, 0xae5f436b, 0xf1928c91, 0x13b14c8e, 0xba6f642d,
+    0x689782a1, 0x31c3855c, 0x23f34c7c, 0x3ddc2aad, 0x6489d786, 0x8580349d, 0x4d79ffa1, 0x8ef90ec6,
+    0x5dc96c7c, 0xe7f38065, 0x77dc3265, 0xf1459b98, 0x12569b6f, 0x900473e9, 0x48c49a7a, 0x0e7354bd,
+    0xaaf1e55e, 0x4c144441, 0xd10aa069, 0x46a324b6, 0x1b058ace, 0x56117b27, 0xb4b8e03e, 0x5f894fc9,
+    0x96d481e2, 0x0c55a160, 0x7bf82f8e, 0x7d9adf44, 0xcd128864, 0xbef0ed75, 0xdcb87db8, 0x81d90579,
+    0xa12b41f4, 0x11b7803b, 0xec88ae7c, 0x364325a8, 0x211406d3, 0x78b56ded, 0xa349cd0c, 0x80b84fc0,
+    0xd06b0561, 0x000a4b3a, 0x2af6eeb1, 0x10140016, 0x05196495, 0x57982311, 0x85f06142, 0xc0932152,
+    0xa423b25d, 0xef5e4ee5, 0xc36d6d90, 0xaa98d939, 0x48521fa7, 0x3d88ce69, 0xb8b79e18, 0x2494ec94,
+    0x5e78e14a, 0xfd30b68e, 0xc0ea6e3f, 0x3e8435fe, 0x5618f52d, 0x9f41c83b, 0xa60b3eb8, 0xb7e42609,
+    0xfb9c27ec, 0xc64be507, 0x1ef837b6, 0xf9e42d91, 0xae5eae59, 0xdb5affe4, 0x23818f91, 0x63d3cc16,
+    0xe872f4b8, 0x0272b8a1, 0x443e70cb, 0xd37ccb05, 0xb0e79d17, 0x6c859cde, 0x10f52f84, 0xe93be0a8,
+    0xd83a9d91, 0xb5431f7d, 0x50bdd8e0, 0x2666e3c2, 0x151045fa, 0x1e98504e, 0x6b992085, 0x66698f6d,
+    0x7bf65bff, 0x4c489c7f, 0x739c43df, 0x2c460d6e, 0x900d3921, 0x695eec0d, 0x44d55ef7, 0xbb4749e9,
+    0xb6c47dc7, 0xcea66089, 0x46b01d8b, 0x42a5665f, 0xb6aa18c1, 0x556755cb, 0xfd83ee11, 0x8034fccd,
+    0x41cb6838, 0xb5bb022f, 0x26641f04, 0x6dde61f5, 0x9c4054da, 0x87a9dea3, 0xf01ba14b, 0x227ac855,
+    0x2a05c181, 0x03f95141, 0xb84aad9c, 0x59fa0a89, 0x178e720f, 0x13a1f9cb, 0xf7b3b737, 0xc858073b,
+    0x7da4e7fe, 0x23139edb, 0xc9dbf7cd, 0x9a3a9f6d, 0xbd9a348a, 0x0a136c4b, 0xf9cd5046, 0xbbd0692a,
+    0x77673df4, 0x4f11fb42, 0x0396b87b, 0x7935542a, 0x9a1ffae6, 0x84a609dd, 0x8cf0462a, 0x2db24324,
+    0xeb3cc884, 0xd80be1df, 0x27bfba9a, 0x65ef151e, 0x4bf72def, 0x9527bb83, 0x256d23fc, 0xff0ee99d,
+    0x8c7709ce, 0x19cc6c64, 0x8e4313b1, 0x77d50dde, 0x5e16fc50, 0x012fa4e5, 0x82eefec2, 0xe7b80f94,
+    0xe91776f4, 0xba45fd5d, 0x1067213b, 0xa6aaf4bb, 0x3ecaa8ca, 0xe1309f54, 0x2b0ce881, 0xcaf52c6b,
+    0x8d605ea9, 0xe1b18e9a, 0x61d761a5, 0xecb69da2, 0xb914ef5d, 0xf8924b5f, 0x62986422, 0x07fa3a1c,
+    0xa9a3507c, 0x68a44355, 0x21649702, 0xcbf19b9f, 0x39da4a08, 0x5bd0c840, 0x050b9eb6, 0x8c77b65d,
+    0x1939661f, 0xffe647b7, 0x5bb7d363, 0x68921bdf, 0xce68ba6a, 0x52933ad1, 0x1d012ea9, 0x71872c84,
+    0x6640bf6c, 0x0c2debaf, 0x8917fbec, 0xccaea41e, 0x15274fb7, 0x1262ccd9, 0xcb8bc55c, 0xf7d194a1,
+    0xc64b6948, 0x68ea4f02, 0x156fe58d, 0xa21af93f, 0x27be40b4, 0x342af8ba, 0x7d25ac55, 0x8e662600,
+    0x0f2f6352, 0xe84e3849, 0x292c2ba5, 0xb2335287, 0x95656b9b, 0xfd072955, 0x8e4a57b0, 0xcfd41056,
+    0xea88f069, 0xb477e1ee, 0xe19df527, 0xa18517c0, 0x929c1f61, 0xa0564229, 0x14704111, 0x1fe9e8e2,
+    0xadf6f9b6, 0x7ba2994b, 0xdcf36c6c, 0x1b4278a3, 0x4ab12bef, 0xa1e5c3ec, 0xc191017e, 0x1ff3a61e,
+    0x83199041, 0xd42f06bb, 0x04a7094a, 0xe49766e6, 0xdedc8802, 0x83413039, 0xeaee7536, 0x6d6700a2,
+    0x140bdf71, 0xf47a96df, 0x86eaa98b, 0xc5788128, 0x4e4ac4f1, 0xc7aa8d31, 0x7712ff9b, 0xabed1f98,
+    0x97dcee52, 0x8ed0e9b1, 0xba770f16, 0x9a376003, 0x3a5359c3, 0x0608ae2d, 0xa9ff760c, 0x218cf184,
+    0x752378b6, 0x9ab43290, 0x1d63998d, 0x74d97b66, 0xd8c62156, 0xaf696b01, 0x113d42db, 0xc85e8b5e,
+    0xde328dc2, 0x859c5a26, 0x1af489db, 0x13a73a5a, 0x15361117, 0x71b7f0ec, 0x89c42c01, 0x1b3287c0,
+    0xcc61eb8a, 0x3a7ee5ee, 0xa3b18405, 0x0660cef3, 0xf3ee2f52, 0x86d2a975, 0x62467532, 0x745df8a8,
+    0x5750fb23, 0x26efa8da, 0x2a37750a, 0xc85ba017, 0xa7cf13e9, 0x7ff6cdc7, 0x27f28c8d, 0x6d58c060,
+    0x6f677cd1, 0xc9fff88e, 0xa08bf52e, 0x356d7afb, 0x1f54507c, 0x769bf6a2, 0xb19c158a, 0xef310846,
+    0x0d7108c9, 0xd364eb36, 0xc48ab968, 0xacdd71c5, 0xd584f72d, 0x04f6500e, 0x45aff2eb, 0xcd9f177a,
+    0x08c298b0, 0x4a7be613, 0xf5c085be, 0x540f2ecc, 0x2201f511, 0xe02c0091, 0x093875d3, 0xca2c4e4c,
+    0xe18c93b7, 0x13065afd, 0xa623f05d, 0x347b7ea0, 0xa754be97, 0xdb8392c3, 0x3584fe20, 0x819ba9bf,
+    0xc4874805, 0x1a5e8e20, 0xb8cbda11, 0x9a1ccda2, 0x7f5947e9, 0x82b345c3, 0xa2a46d72, 0x27204369,
+    0x2ef370b1, 0xb0b8e36f, 0xbf589584, 0x69d4bf0c, 0xa0cab164, 0xd44079fb, 0x9ef561d2, 0xa1dbfc1c,
+    0x6107e738, 0xc1aca626, 0xb42d6c7f, 0xb5092cb8, 0x95c70eee, 0x0926462c, 0xb8a7e287, 0x2da9b4c7,
+    0xd64e0fd7, 0xf93098a6, 0xcdedbe4d, 0xca48d739, 0x1247f7c8, 0x7ead9859, 0x0a161514, 0x250a2ea3,
+    0x2f465274, 0xb81e9a1e, 0xb1dbad69, 0x29962278, 0x954db8c2, 0x16f4863e, 0x9bdffbb4, 0x9a4f916c,
+    0xc3100f38, 0x1abb784d, 0xd26f9e64, 0xaada20ce, 0x62f4e602, 0xe980f8ef, 0xa159f6c0, 0xdf48ecab,
+    0x507199c1, 0x44e7635c, 0xa60c5b24, 0x76bd6586, 0xf53d452e, 0x57c33569, 0x8ceea67a, 0xaad6d7e0,
+    0x178a6c80, 0x716a7905, 0x613f5664, 0xe66c11b9, 0x5dc5bb0a, 0xa54ee6f6, 0x77561bfd, 0x3090268b,
+    0x17d2c087, 0xb0c03105, 0xe4d5c14c, 0x407bda32, 0xbb89a972, 0xfa047883, 0x21765f8c, 0x9c070c76,
+    0x0e93a88a, 0xbe24ec78, 0x4fe1fd92, 0x1dc28d9f, 0x8bee628a, 0xe8f9e7c1, 0xc2fbd526, 0x5d7e115a,
+    0x571befe9, 0x0f026b66, 0x64714990, 0xea503ade, 0xddac412c, 0x7964c5c5, 0xd8567a05, 0x2c5189ce,
+    0xd0c74917, 0x1668833b, 0x1eb00b00, 0x5f1f8727, 0x4f0b2c90, 0xeb154928, 0x9b78339b, 0x9c8c9c7b,
+    0xe04b17a3, 0x9bd720f7, 0x4cabd076, 0x9fe24007, 0xc4fcb3fa, 0xd55d9437, 0x996a2ebc, 0x4a52eb81,
+    0x24fe3929, 0x529d51d7, 0x6beaa2c8, 0x81be2353, 0xc0de0358, 0x8eda6649, 0x78f04716, 0x30aa288d,
+    0xae458fe4, 0x6cbaa9a0, 0xf45ec327, 0x4258b971, 0x9f00f2f5, 0x70e26a1f, 0xb2d51b78, 0xb215c8e9,
+    0xfe93ea33, 0x2f9caff5, 0x51e4d664, 0xa4f5a93d, 0xd6db3ee2, 0x6ed122ae, 0x316e3459, 0xbaa660e0,
+    0x4fb437c3, 0x957e29f8, 0xb36cb7a6, 0x3363ec92, 0x7fab520e, 0x9b6b8a3f, 0xc06d901a, 0x7529d052,
+    0xa0985447, 0xffba183c, 0x815dd4be, 0x2398fb86, 0xf6470f50, 0x7565a690, 0x683ad7ae, 0x806bbb68,
+    0x811c95f2, 0xdb6df5c4, 0xbf632bdb, 0xdacb7bbb, 0x00b27d69, 0x947c0786, 0xfe904313, 0xc419b8d5,
+    0x7085e976, 0x99f1edf6, 0xcb79fe36, 0x35ebb167, 0x528b544b, 0xbe94fbe5, 0xb224a0fb, 0xc7a152ea,
+    0x8179ad89, 0xf54d22cd, 0xee62bf9b, 0x4000d8a1, 0xf6a63967, 0x3f9cbe7c, 0x54a8bdf0, 0x99ac28f9,
+    0x17bc9915, 0xd93b9ce3, 0xae662643, 0x4e6f216f, 0xcf05eac5, 0x1a4443ac, 0xc4444be6, 0xab2a5639,
+    0x7d6b8fed, 0x9a1143e6, 0xb4cbd1c7, 0x40197e69, 0xc3893e11, 0x064b781d, 0x15ceb95e, 0x4a897f95,
+    0x3d4c51ec, 0x00e956e0, 0xeaa3a27e, 0xd7232ec8, 0x39b9db24, 0xd7be1ad6, 0x8a0ef89a, 0x2d4b9735,
+    0xcb22323e, 0x98bdc84a, 0x8a796939, 0x48c2efd0, 0xca21d8fd, 0x8dc0a42a, 0xf0632523, 0x592f6b3b,
+    0x214531b2, 0xce701c3c, 0x0a2fc237, 0xa6c44f8f, 0x98c40925, 0x52e49a97, 0x7e871776, 0x6c084daf,
+    0x7d803a28, 0x58b11932, 0x948835b8, 0xd24d1b98, 0xbf8cfe71, 0x6d265055, 0xfc56bbd6, 0xf6ae7486,
+    0x4a54c6e7, 0x1174d6ed, 0xd6f5610f, 0x426942b1, 0xc9ae0164, 0xc180b74f, 0x8c0a3f4e, 0xa87611f0,
+    0xddd212ac, 0x8dea6a28, 0xad49d3cd, 0xb4104127, 0xe0b3f28e, 0xb7890c27, 0x250f8f34, 0x82e8c9d7,
+    0x412510d9, 0x9f745d54, 0x714e27f6, 0x4108cdb6, 0xf4ff9226, 0xfd1d68ac, 0x1b85b93e, 0x3465aeb4,
+    0x2b1cd10f, 0x66fbff9d, 0xd9768381, 0xa5a976b8, 0x3af62682, 0x104f5d6b, 0x8316756e, 0x3322b7ce,
+    0x7ca782d4, 0x25619113, 0x5376edf6, 0xe6fcddf2, 0xec8fcee2, 0x22cbafda, 0x6408cb10, 0xd2865ed7,
+    0x1641de75, 0x087e0345, 0x97024235, 0x34043a92, 0x75eb0e16, 0x4b93eb1c, 0x180e435b, 0x59b998bf,
+    0xd1a9e0a2, 0x563f01ca, 0xcaac4b78, 0x18d9e00d, 0x6e7edaf3, 0x1acecc20, 0xbf6d1212, 0x2640942d,
+    0x352a3451, 0x24ef8412, 0xe76b1f95, 0x4a4d486b, 0xc6d03876, 0x7bfa70e0, 0x67274cd9, 0xeab68084,
+    0x6d198de7, 0xac0d9c2a, 0x051b6ac4, 0x24510811, 0x5abe485e, 0xf1cb0876, 0x1413f6fa, 0x9a91d3ff,
+    0x76e7ccac, 0xd469b153, 0x96987c96, 0x33dceb5a, 0x33963afb, 0x53dca637, 0x4ef3188c, 0x7909d6c4,
+    0x215b667d, 0xad8c5fd7, 0x9c7d90f2, 0x3d239538, 0xbd2ad8fe, 0x3d2c1f5b, 0xfe8a8fa5, 0x70a814fd,
+    0xea0a6e42, 0x7eb0156d, 0x4af6182c, 0x11dd551c, 0x4c95dd72, 0xdfcbc94c, 0x0112f785, 0x8bb3ae1e,
+    0xe33ab4c0, 0x124fe6de, 0x809fc3e6, 0x4d2fca39, 0x840b0c51, 0x13275387, 0x57086a86, 0x45440198,
+    0x48a07d96, 0xd21e591c, 0xc0cf04c1, 0xd8e95b3c, 0x7387c2e9, 0x070dc511, 0x2699f518, 0x48255453,
+    0xdeeb53a0, 0xa23f740d, 0xdede7dc4, 0x2a397591, 0x12a4f2a6, 0xad23df95, 0xc9df7e73, 0xcde59e1c,
+    0xef4d64a4, 0xe5e55388, 0xf690af70, 0x95b639e2, 0xc788ac16, 0xb84df797, 0x2940af69, 0x0eaaca4e,
+    0xb657bac7, 0xedd736fd, 0xe124b784, 0x1e5a93be, 0x0cadaa7b, 0x9c0a16c7, 0xf7ee1b9f, 0x5317fe47,
+    0x66c4de9f, 0x6af71ed6, 0xa2c448e5, 0x87257a1f, 0x80b7bb86, 0x030dc791, 0xcbca0f23, 0x470fd872,
+    0xd754f114, 0xec60b37f, 0xa4a311cb, 0x1b8d789d, 0x32b4ae8b, 0x6dd2be27, 0x43156e32, 0xc1747c3b,
+    0xc7aa22c4, 0x07405ac5, 0xa9e98f80, 0xccd2fff9, 0xb5523d09, 0x3d870ba5, 0xd27499ac, 0xdec27f8e,
+    0x590ea1a5, 0x3f60ac3a, 0x4bdea5bb, 0x8105cf54, 0x93111132, 0x1de6f8c8, 0x48405169, 0x2553581c,
+    0x5682764b, 0xc82e51b5, 0xecac1227, 0x759692f0, 0x6372a25d, 0xefd53ff0, 0xade623f9, 0xb2969735,
+    0x00000000,
+    0x7f8b1669, 0x2b2e52a6, 0xa1af7240, 0x1d685eb0, 0xf125f55b, 0xeea8f9d1, 0x33287ef4, 0x173c2ce8,
+    0x8db56404, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x40000006,
+    0x00000000 }, /* 10**00000000062434971006319844627631944595863326114971962853299423017183139192507\
+                         43477639531240240612206126983942319653862242813245790895951358576570612580352 */
+  { 0x00000000,
+    0xd9c7b85c, 0xb6e43a3a, 0x1a8d35d4, 0x128f4e8b, 0x2481cef8, 0x952b6e5e, 0x0c6ab368, 0xf57e1569,
+    0x512cdb86, 0xc3f1788c, 0xc582ac1d, 0x05298345, 0x6867dbd3, 0xfcf421dc, 0xe22e64d7, 0xb22dbe40,
+    0x4fdf44a2, 0x206f444f, 0xba811b9e, 0x3e8f1634, 0xb914d840, 0x74a4574c, 0xa80be450, 0xb8ecda26,
+    0xd6ec23c1, 0x023efe4d, 0xa7dd2f4f, 0x46d656ff, 0xee8fe7ef, 0x1d7a0daf, 0xab0c6970, 0x8c2b5370,
+    0xa8a7af44, 0xc344d6c0, 0xbdb02532, 0x7c51eeae, 0x11934aa0, 0x4ff28c21, 0x47b8d245, 0x399cb485,
+    0x3e51dbc7, 0x22a3b82d, 0x8331ca6b, 0xef52e2b3, 0xd7d16b62, 0x66228708, 0xda86af8d, 0xb73b2069,
+    0x88a738d1, 0x827b6edd, 0x84e598a0, 0x96543e50, 0x1344c18f, 0xef4fab32, 0xefe4fb1a, 0x1424794a,
+    0x1109027b, 0xb8698ad5, 0xa1609ba3, 0xc4db6959, 0x35738793, 0xb6801cda, 0x4811f3c4, 0xdebe4c4e,
+    0x770c3d5f, 0xbdb2f1aa, 0x94a64929, 0x89a12c61, 0x3389315c, 0x009981fa, 0xf7175b84, 0x9c910d57,
+    0xd03a6bdd, 0xe1f31ad6, 0x75e35a34, 0xca898eae, 0x766fed07, 0x022505af, 0x8069f579, 0xb04cb789,
+    0x10daa092, 0xe5c68ab9, 0x04a41eae, 0x3dd6ca43, 0x368f2c5c, 0xdb198cc3, 0x08423582, 0xe4103a68,
+    0x52789f6e, 0xe92322ee, 0x29d77893, 0x3da77e70, 0x93a8b3bf, 0x6fad15ec, 0x6c32794d, 0x3a019359,
+    0xe264f89c, 0x1dc03a88, 0x223f7bbe, 0x0bc95af3, 0x9955b466, 0xbbb747c8, 0x40756ccf, 0xb14c8ced,
+    0x2381b909, 0xcb923a95, 0xb4b80e8d, 0x1b0c6713, 0x732278f5, 0xdaa0302f, 0x832079c7, 0xf75aa327,
+    0x01b15a70, 0xccdefe9b, 0xec2d3808, 0xf97bdffc, 0xc2659d64, 0xe09e6bc4, 0x84e8b201, 0x71b455da,
+    0x1daed617, 0x7e07cbe6, 0x915f2d01, 0x9ad5f71e, 0x84a7d4ee, 0x611498c1, 0xba1f166c, 0x2eafa39a,
+    0x7f554097, 0xe429012e, 0x2088d88e, 0x12dd74b4, 0x9142ef5d, 0x7caacd21, 0x9866cf0e, 0x44aaafc8,
+    0xc46fa123, 0x99e0f052, 0x40041221, 0xd7fb6586, 0x09794094, 0x43475656, 0xd57d15b5, 0xb0d36ef3,
+    0x6c5f0d7b, 0x615f0828, 0x1ffb49b6, 0xdc8d532b, 0xe52e54c6, 0x546598db, 0xc04f868d, 0x0e5a9700,
+    0x3bbcccae, 0x58cc6906, 0x8a845d03, 0x7f453c95, 0x79fd21ec, 0x45c47f59, 0xe27ae48e, 0xbb205230,
+    0x7baee841, 0x693df729, 0xdff009e5, 0xbd721e05, 0x291be10a, 0x4eec5d05, 0x867ef9a0, 0x43b08cc6,
+    0x70c25fd9, 0x86019afa, 0xefcdc7ea, 0x1ffa909a, 0x79348d0e, 0x7cba44ba, 0xcb543b5a, 0x6d84371e,
+    0x196d65ff, 0x9af12b23, 0x11be7a45, 0x2ef27244, 0x88e16769, 0x4b5bbf6d, 0x28591e28, 0x281010a2,
+    0x70221ed9, 0xb7efcf89, 0xf936c8ef, 0xdb793256, 0x40441b73, 0xb4f0cefe, 0x0891584d, 0x4eb7f784,
+    0xff8b8b7b, 0xe7b3f41c, 0x0f4b0390, 0x323a6621, 0xe193464a, 0x226bbd97, 0x261e3369, 0x467adec3,
+    0x189e11ee, 0x3d5a9339, 0x7b9048af, 0x07801998, 0xbea47b3e, 0xec3539a8, 0xea32f966, 0xaf430a3d,
+    0x992dcb21, 0x7c575e11, 0x77bebb90, 0xcc2e1a90, 0x8be361de, 0xa344f514, 0x5aa3c0e3, 0xb0757fb4,
+    0x6f895c8e, 0x2b4af3c2, 0xbf474a2b, 0x29592f94, 0x9f724e35, 0x3a9c6d30, 0x74705822, 0x0118f9e3,
+    0x3098f59a, 0xbead7a38, 0x8f6c0595, 0x7848bfb5, 0x7846e746, 0xb508fb61, 0x92da524c, 0x3585ce40,
+    0xd1290a01, 0x9edbb4be, 0x26394631, 0x43612209, 0x26246e2d, 0xc5cedf70, 0x6a742022, 0xc9597373,
+    0xc217cae7, 0x8ceac751, 0x4633f1b8, 0xf3868aac, 0xe3739fff, 0x01e7ed14, 0x78ad9843, 0x9791c5ea,
+    0x8388136e, 0x40477224, 0x51a65542, 0x9c74a4dc, 0xea9a1ebe, 0x94d6d993, 0x86f40241, 0xc6a398ea,
+    0x99c1b5f2, 0x4323e0b5, 0xf79a0476, 0x774f5c70, 0x9714ed60, 0x44f16bd9, 0xc0f0ccc2, 0xd902b8ab,
+    0x3266f79e, 0x417e14b4, 0x6ae64eb8, 0x5960e3d2, 0xd530f102, 0x7d729c06, 0x65b8d317, 0x29cc1308,
+    0x33543423, 0x30a64cca, 0x733a0036, 0x08d5f8d1, 0xdd2ae0d6, 0x2accda67, 0x89ae4da8, 0xd62081b4,
+    0xc8f35032, 0x2a57e728, 0x86c73c1d, 0x3b8c4b7c, 0x24d4f74e, 0x8b3b69b1, 0x5b080719, 0x53b24d44,
+    0x38b60f29, 0xd9afe15a, 0xba9dfdcb, 0x5563e7c9, 0x0db031ae, 0xdab9c163, 0x524f1450, 0xb48f86b0,
+    0xf15c21de, 0x1d5d987c, 0xfd91a855, 0x58aef6bf, 0xaea60bae, 0x66761101, 0x59e4a5bf, 0xd9ec0680,
+    0x5157984e, 0x50fbc694, 0xe0030d78, 0x88115cae, 0x60b156aa, 0x2e917b63, 0x6af7ccd8, 0xca932f07,
+    0xb01962a9, 0x86391c78, 0x42c7f748, 0xeae6dc04, 0x40a28b34, 0x94f2f784, 0x3f8e9a37, 0x65b3a9d0,
+    0xba1b58fa, 0xaae216b3, 0xbde7bef2, 0xd82c2c8f, 0x4031a5bf, 0x12349315, 0xde618bf9, 0x6077f35a,
+    0xcaa2e7ad, 0xa176efa5, 0x31a8d44d, 0x5efa06c9, 0x44b796e7, 0xddaf24c5, 0x9a23bd22, 0x29582d79,
+    0xc3ff21d9, 0xb2b2731b, 0xa3bdf84a, 0x2d8c8a07, 0x0ad879ab, 0x40e286ef, 0x381454db, 0x12f5cb73,
+    0xbac1eb7f, 0xd806df42, 0x120399b7, 0x08d560f0, 0x9cedce6e, 0x3053c326, 0xf4cf830e, 0x65056400,
+    0x5343acc8, 0x337c8d76, 0xf444215d, 0xdba16028, 0x95e597a6, 0x8982b726, 0x7ed8012b, 0x776e50bf,
+    0xf9f6cdf3, 0xdb9e7808, 0xbc76cca6, 0x85102fea, 0xd29bc3e3, 0x5e444811, 0x00217c92, 0x03bd2411,
+    0x6e645b82, 0x07474883, 0xe87dd5d9, 0x33e8cd19, 0x6816600a, 0x63234733, 0xbebe6308, 0x030dc7cd,
+    0xc5f1744c, 0x230b119a, 0x1fbf3405, 0xb2591bff, 0xd9f28942, 0xe6bf9804, 0x999708f3, 0x2e7102f2,
+    0x6c644d21, 0xade17d03, 0x8b761ac1, 0x20f2d2e2, 0x35ccb8e0, 0x8f774961, 0x8e000f62, 0xe17f8818,
+    0x8c274e8e, 0x9f29d98f, 0x519ee436, 0x8b967dac, 0x4e627d6a, 0x2b10030a, 0xa8d2edae, 0x1ca996b1,
+    0x31b1b175, 0x3e397e75, 0xfb1c32c8, 0xb13b8605, 0x48ddf5c5, 0x9a5cebad, 0x9e50c0c8, 0x1482f456,
+    0x35f5c0ea, 0xce33e72d, 0x9f26f4d4, 0x76df223f, 0xb57374db, 0xc61b9615, 0xda5f1ada, 0x68250c66,
+    0x3fe80c81, 0xaad57126, 0x29aa8bb0, 0x36bd5fcf, 0xa3e73faa, 0x9b12f027, 0xbacd6311, 0xbd98866d,
+    0x209a96ce, 0xe61a3fd5, 0xf2e50531, 0x7dd7ea7d, 0xf71be221, 0xdcf2c127, 0xd7492f9c, 0x16dff5f7,
+    0xede92824, 0x0b81096c, 0x03f0456e, 0x233781af, 0xf5421814, 0x9aa15742, 0x40a76700, 0x6df97df3,
+    0xbb2b31b8, 0x52854400, 0x05f5ed10, 0x5319211f, 0x6229932f, 0x17b298dc, 0x6a15271a, 0x10cf9b30,
+    0x24715f8f, 0xc2e89b2f, 0x439dc8a3, 0xbe92c081, 0x104885bf, 0xe9db2af5, 0x96a9e313, 0x827f0bc4,
+    0x51709de0, 0x28e4f5b8, 0xfcadc592, 0xaaaa6bdf, 0x56aedfc8, 0x0aa0f269, 0xd88fb83b, 0x946ab6e2,
+    0x80ecfddb, 0x6e3f0850, 0x3bf22c26, 0x7c538c77, 0x0be2996b, 0xbfd15bf3, 0x2c9a8dde, 0xdf4427cb,
+    0xe380e87e, 0x19e6b877, 0xf3bd6b6a, 0xfa5dcd70, 0x419ecf3b, 0xa728da98, 0x7c8d0c27, 0x219e8766,
+    0xb7de3bd6, 0xae357006, 0x02f1c8ac, 0x2968535b, 0x49463141, 0x93a35f8e, 0x104b27d0, 0xbd97d5d1,
+    0xf019b4a4, 0xe0919c44, 0x4b6e3d11, 0x8eb94e48, 0x1f6993fb, 0xff692adf, 0x03ad3b94, 0xe158d9a2,
+    0x9ab89b80, 0x564807ac, 0x9d65f9e3, 0x826e297c, 0x3ff12b48, 0x5a0fb03f, 0x49b22301, 0xaf0ae0ac,
+    0x9a288bd3, 0x2944fbb3, 0x3e0ea288, 0x18cc6274, 0xaf1dd83a, 0x3c9c2ebb, 0x129d4f1a, 0x8cd26fe8,
+    0xf7b61fac, 0x2ba650d4, 0x6498668e, 0x8fa929a5, 0x24264b7d, 0x026855d8, 0x1a3e6206, 0xa25440c4,
+    0x5b2a9536, 0x0be88d1a, 0x9f39a9f7, 0x8829e04e, 0x5b31aeb5, 0x6784e82b, 0xdadf147d, 0x324df1e1,
+    0xa8515992, 0xbfa3f1ca, 0x02043dc4, 0x8d0b3234, 0x0e395115, 0x2e860b65, 0x633e0828, 0x36725429,
+    0x0c50d394, 0x712f0fa8, 0x4ccf170a, 0x10ef684d, 0xe3a8cda0, 0x01054826, 0x44f4ec3c, 0x5ed7e461,
+    0x17b42547, 0x82a911c9, 0x3e2e6668, 0xbe9fd448, 0x49713c97, 0x44a2e009, 0xa161ac4c, 0x81803dd3,
+    0xafe05113, 0x227e8030, 0x0ca89ee7, 0x1b1dd50e, 0xd4009e21, 0x621c4a19, 0x94ad83bd, 0xab5fb486,
+    0x8a8dfc04, 0x6aa28e06, 0xe11a41de, 0x8608de7a, 0x85c82094, 0x39691e77, 0x58fd6136, 0xaf10395b,
+    0x2d15ce2d, 0x36f7c8ea, 0x777b7b47, 0x2dd97ccb, 0xcaa76376, 0xbc62aade, 0xacc5653f, 0x0f07cecc,
+    0xfc353452, 0x0047dbf5, 0xd83c7a1c, 0x3b06c92b, 0xecb51cab, 0x4b11f467, 0xf4672c02, 0xda1dbab7,
+    0x6da5ca83, 0xf72b9c02, 0xa8605efa, 0x7e554a53, 0x545a5f87, 0xe7c03b37, 0xf0ebfefe, 0x2ae78332,
+    0x02f3e2c7, 0xeee1fd5c, 0xa4805d0e, 0x392fe4ec, 0x1e377df2, 0xcd0b7959, 0x7f6e11f8, 0x3b2cde2f,
+    0xfb6d799d, 0x2db98d6d, 0x5aea0638, 0x04fc418b, 0xec26a980, 0xbed51ee4, 0x4a94bc80, 0x25850a38,
+    0xdff8c851, 0xf11c2890, 0xcde9daa8, 0x5a1ee4ab, 0x0b012a51, 0x1445a198, 0x1e503b2a, 0x3ea87cd8,
+    0xdfb9e7e4, 0x9c23be38, 0x1435b8dc, 0xe3f96ed8, 0x14e1530b, 0x69ab8040, 0xa7f27cec, 0x039559c4,
+    0x2c6b4a9d, 0x84dd89f9, 0x47146ddb, 0x1baef63b, 0xc225d765, 0xfbcfcbb7, 0x59dde91a, 0x5c0ecd6a,
+    0x76731dc8, 0x2adb7cc1, 0x2e8e38b0, 0x9100a5fe, 0xd154b515, 0x198501e8, 0xfdbdcb82, 0x3bd20379,
+    0x5f1d0baa, 0x281086a6, 0x36232d9f, 0x0f48e751, 0x4b040c29, 0xd83a06ab, 0xb61803bd, 0x55688f2f,
+    0x5ba8997d, 0xd88301be, 0xd0b989c9, 0x7ef4092e, 0x63c1ba07, 0x043610b4, 0x41f5b8ff, 0x26289501,
+    0xda1115c7, 0xee1bba90, 0x54af72d3, 0x30a7e154, 0x01a8cc54, 0x534c5d63, 0x67e38820, 0x57715341,
+    0x624b3b6d, 0xd5401422, 0x888f8a96, 0xdffbc371, 0x3bf4adec, 0x94c364ca, 0x0b37d868, 0x3b2bdd35,
+    0x6b642c83, 0xe825c1c6, 0x230b26a2, 0x3366c19d, 0xcd7bb99b, 0xb0cd1719, 0xe9eb5611, 0x5d14f554,
+    0x7352d533, 0xe973b15d, 0xc97b3bbd, 0xd6eb36c6, 0x4a28d0cd, 0xe16204b7, 0x39697433, 0xb919ea04,
+    0x4e0b04f3, 0x1c47814f, 0xbfd60cb5, 0x1ece4f91, 0xa04662bd, 0x20646adc, 0xdc4fc8a6, 0x315ad783,
+    0x15b1419f, 0x804223ea, 0xacbe04a8, 0x39fb3d36, 0x1a6edd5e, 0x6011e654, 0xf7428020, 0x7caab168,
+    0x43b13a75, 0xeba2c5c5, 0x7823295a, 0xf442b11c, 0x16d58ffe, 0x2052c3f0, 0x064c2615, 0xb4c7a40d,
+    0x0fd0a096, 0x4ed7f9ef, 0xdd318b9a, 0x7ab5cd59, 0x6ae8bfcb, 0x9bc5d713, 0x250aaecc, 0xc33dafc1,
+    0xb1ac1c00, 0x84211757, 0x3d6f98fc, 0x202cb09d, 0x9e013194, 0x56709cce, 0xe2d502ee, 0x49aaf4a2,
+    0xe44f6e42, 0x7843d27f, 0x24ba6134, 0x2fcfb8a9, 0xe1839757, 0x79c19481, 0x27c23e39, 0xf9dec928,
+    0xbe43cc20, 0xaf322dd8, 0x9163cd87, 0x17226fe0, 0x281ccd0f, 0x9c530683, 0x2154e54c, 0x739f9f95,
+    0xd853b684, 0x24ded647, 0xce0e2fe2, 0x0dfc1251, 0x64a02cae, 0x77751016, 0xef98aa72, 0xf2919538,
+    0xf1f4e122, 0x13617281, 0x0bc2dd84, 0xf8eeb3c1, 0xfc6b87cd, 0x260fa75e, 0xe2bf5779, 0xccbcf8ff,
+    0x783692c5, 0x461ed950, 0x26a34ec2, 0x69d5bde9, 0x7e9061d0, 0x0621aee8, 0x9902d004, 0xc1422e10,
+    0xbdd4de56, 0x843f7845, 0x68a533c3, 0x34feb483, 0xaa246d3b, 0x6e21b64d, 0x63caebd9, 0xcbed82ac,
+    0x8af018b0, 0xba4490a4, 0xeed8c9d8, 0x20546d63, 0x5e0441d4, 0x5c115606, 0x1c1efe54, 0xb3a407c1,
+    0xb79bff55, 0xbbeceb0a, 0xdcc353c9, 0x2552f234, 0xdd8aac5b, 0xaac1cf5c, 0x148f69b9, 0x9ba33bbe,
+    0xdbb8e4d0, 0x12a912ad, 0xf410099b, 0x555d2b21, 0x0e5b48ae, 0x546aeb49, 0x1f6edbaf, 0xc0573586,
+    0x9f79f219, 0xcafd4348, 0x0b017827, 0x3c235220, 0xbf669eca, 0xc43ad84a, 0x61b090cd, 0x749b9fe8,
+    0x090c4941, 0xbc7322ab, 0x89292cd3, 0xa6fd4ea6, 0x23ac0b0c, 0x938df72f, 0xb1656ce0, 0xe607d95c,
+    0xa9641943, 0xf583347b, 0x4f67a0cf, 0x7446503e, 0x6aee4976, 0xf9e1325e, 0x1b99a9ad, 0xde6012a7,
+    0x9bee1641, 0x24eb848f, 0x94c26271, 0xe83851b4, 0xa3ad9afc, 0x420e6d94, 0xffaf0fdf, 0x6775b513,
+    0x18f23d34, 0xfc5549f2, 0x7720b6aa, 0x2b7e4ef6, 0xd2903ee9, 0x96673502, 0x142695f1, 0x1f816bbe,
+    0x1c3208f3, 0x7cab24c2, 0xd3b7975b, 0x769ad471, 0x2ba251df, 0x828d566e, 0x38c67f3b, 0x9a03bab1,
+    0xf18ab01f, 0x6c450472, 0xad2d2ac6, 0x78e44c7b, 0x5ef8f798, 0xc28ee482, 0xb25910d8, 0x7ee3e530,
+    0x30046d4c, 0xb7adc3e2, 0xba1da2e0, 0xb69687ec, 0xf1b8d691, 0xe9090bea, 0xf747ca7c, 0xc2a9c5eb,
+    0xe83d5d86, 0x21abf252, 0x3069f8c8, 0x0593f4d2, 0x91805c52, 0x9a86a1a1, 0x4542531b, 0x0f43f73f,
+    0x186a674e, 0x8020e6e8, 0x1da467eb, 0x6b50bfad, 0x8a3d4fe3, 0x52057e6b, 0xadfc07aa, 0xa9185ae7,
+    0x718c1bc8, 0x4187bc04, 0x738c1a1d, 0x954ee347, 0xd2687988, 0x95bf8ee6, 0xd0498d8a, 0x494a4d6e,
+    0xfeb314d1, 0xf5773445, 0x3db18d93, 0x6c808d00, 0xc8721394, 0x58b7298f, 0x2ba92e7a, 0xb3f1dfc7,
+    0x5135def1, 0x1c6f6051, 0x7ade1e6e, 0x33672464, 0xf091b2fb, 0xec60a099, 0x84984ca2, 0xc95b9489,
+    0x700fb8a3, 0x59231439, 0x13c7d0d5, 0x89121799, 0x3b03e8bc, 0x2b18dbe3, 0x9ee1c9f8, 0xb4679805,
+    0xc1ca5250, 0x303cb443, 0xab2859e7, 0x33c88343, 0xa1941f2a, 0xca4b87d5, 0xe18eb86f, 0xd781c9a1,
+    0xa2cf52d1, 0x8d4a2b17, 0xca341d03, 0xa8372782, 0xd35a2afa, 0x109e7a19, 0x64399204, 0x1540942e,
+    0xdb3e4cf2, 0xca11dcc2, 0x4f0c01f1, 0x7cf6e5f2, 0xb567013a, 0x8e96e84d, 0x3145bd0a, 0x8f2d6967,
+    0x9cde74bf, 0x61f1d4ea, 0xdfe28ea2, 0xd9610eac, 0xcde00a84, 0xd9f4f36b, 0xa96a496a, 0x584a2277,
+    0x9b9ba15d, 0x226ca04c, 0xdb408d1f, 0xf40cb6b2, 0x4d71e4e3, 0xe35a5589, 0xd729d036, 0xf1e908b0,
+    0x8572069d, 0x070566cb, 0x66820e58, 0x005f68cd, 0x680c8490, 0xdede1676, 0xb96e6cea, 0xd0626819,
+    0x06505158, 0x29ee4cde, 0x4647af2d, 0xd29c2401, 0xb970995b, 0xbbbd6365, 0xef429627, 0x2a4f1ef7,
+    0x25fb57af, 0xe5b73c4e, 0xde3ff43d, 0xb0ba9722, 0xb1616bbe, 0x0b8a75ed, 0x452480f3, 0x93a27b58,
+    0xadb856d7, 0x44282c97, 0x5c3e3a06, 0xb97c3c6b, 0x43c23b89, 0x89ae453e, 0xc07497fc, 0xedcd0425,
+    0xbeb4ed24, 0x4fa7dc3f, 0x362b49ee, 0x9d3b0a2f, 0xb46d029a, 0xaef9e44f, 0x005a501c, 0xe00ff4ab,
+    0x50db3911, 0xce402cb6, 0x5a1ca52e, 0xbc41ff0a, 0xea38879a, 0x060a90e0, 0x82aa1f7e, 0x6cceba86,
+    0x69a083d5, 0x145dde42, 0x303dd424, 0xe74730a2, 0xdae2cd54, 0xe1a5ca11, 0xbe08b452, 0x97316265,
+    0x00000000,
+    0x3fc58b34, 0x15972953, 0x50d7b920, 0x8eb42f58, 0xf892faad, 0x77547ce8, 0x19943f7a, 0x0b9e1674,
+    0x46dab202, 0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x40000003,
+    0x00000000 }, /* 10**00000000031217485503159922313815972297931663057485981426649711508591569596253\
+                         71738819765620120306103063491971159826931121406622895447975679288285306290176 */
+  { 0x00000000,
+    0xbbedf800, 0x107de66a, 0x0412a617, 0x09b04300, 0x5b5f9d16, 0x0adc485f, 0x1337faad, 0x06f36db7,
+    0xce11340b, 0x07037fdb, 0x5cde9a41, 0xa67d312d, 0x7ee3ef6e, 0xc830a006, 0xa2bd8fcf, 0x3e983b67,
+    0xbffef533, 0x35eb7192, 0x24ed90ee, 0xf2abd641, 0xa3146ec1, 0x227d2ecd, 0xebc87ec6, 0xf59b4e3a,
+    0x0e56fc00, 0x0da3c4e7, 0x81e62acc, 0xb509eb02, 0x4d51f9af, 0xf075d16a, 0x802c2115, 0xe33eca18,
+    0x111dee7c, 0xb29c3053, 0xf2ce157c, 0x0bc1a37c, 0xda793d12, 0x1323352c, 0xa1712a0d, 0x8efecd1b,
+    0x206d80aa, 0x5465cb4b, 0x354abb9d, 0xdf48fed7, 0xac63b871, 0xe5f73d44, 0x79bf74eb, 0xf4b30d36,
+    0x07f45f61, 0x168cf683, 0x04cf038d, 0x7a11de00, 0x94e3370c, 0x6102e597, 0x4422d36a, 0x7c9cbe02,
+    0x7e60791a, 0x1ee355b1, 0xfcbe3362, 0x0c321b81, 0xeb0f1f7c, 0xa279edd4, 0x0f060d75, 0x756cfb94,
+    0x8c9bbf31, 0x52c219ca, 0x1c172dfb, 0xd233452f, 0x13f86d08, 0xb166384a, 0x54ec15a2, 0x40476b93,
+    0x015ea9b8, 0x2ac534f9, 0x390c4348, 0x146395ab, 0xe1fc7f0e, 0x786ef83b, 0xf7eca7b1, 0xcd83527f,
+    0x2d4cbc92, 0x200e0bfa, 0xba76490f, 0xfb2e4cda, 0x20fca94a, 0x3c3301ec, 0x10fadfbc, 0x29bad72d,
+    0x405a2ad3, 0x339d7bd2, 0x046bc36c, 0x0ac73355, 0xf8a44d07, 0xd13cf79f, 0xdbaf7b29, 0xd27c4067,
+    0xd7acd3d4, 0xa2e05376, 0xba68959e, 0x0b66770b, 0xeac18a6b, 0x5b3179ee, 0x4ee40249, 0xcabb53ff,
+    0x23f77f70, 0x3657e933, 0x908d7885, 0x9238723b, 0x1631001f, 0x3d211a25, 0x74c82497, 0xd38fafb3,
+    0xe54bbf7b, 0x7c65ebd8, 0x55911cfa, 0x64a99ba9, 0xf21ea693, 0x7adc4ff1, 0xeb267736, 0xbb877efd,
+    0x71930397, 0xaf006631, 0x40962a93, 0x11cdb055, 0x11707c05, 0x44d2b01e, 0x4da81840, 0x78df3819,
+    0x6ab0848c, 0x33cdb951, 0xedb449ce, 0x1067a8f6, 0xf3fdd8d4, 0xf4136f57, 0x0334a5d7, 0x08aa3985,
+    0x613c2e20, 0xa9360321, 0x274af0d9, 0x81acf7bb, 0xdd333d85, 0x7a3316cb, 0xcc30b983, 0xf888a476,
+    0x00fdbcc0, 0x74c4f82d, 0x5361f630, 0xe3324e90, 0x9d9fbca8, 0x3dddbc2c, 0xdb67da3d, 0xd42e3810,
+    0xece5f1be, 0x358175ac, 0xbecd703c, 0xa0d07de2, 0x39383579, 0x82e5992f, 0x0d73ae9c, 0xb8730230,
+    0xdd799cf0, 0x4ccbe708, 0x76350b3b, 0xbe29671b, 0x0f5ee526, 0x2648dd3e, 0xfc6760f3, 0xd4d83275,
+    0xb954aaeb, 0xbf3482ae, 0xc07eb110, 0xe7577ea3, 0xb8eb57f8, 0x8ec39683, 0x5bf3ad01, 0x6e99396e,
+    0xe57e2f73, 0xd9e2971c, 0xefa14c7f, 0xfb28d2dc, 0xebf23edd, 0x8c22fb40, 0x370c952a, 0xbaa22ad9,
+    0x2bacb671, 0x6c9afcd1, 0x6ca357bd, 0xfea788cb, 0x43c9dfdd, 0x793eaff2, 0x4277403e, 0x6409ba06,
+    0x0555bd2a, 0xaf03dcf5, 0x05a15e24, 0x204f2434, 0x3353e0f7, 0x1096a94d, 0x56745765, 0xdd9aca4d,
+    0xfe7a5a36, 0x86def472, 0x86d4711b, 0x087c0064, 0x234ce116, 0x2a1766e3, 0xb0d3841e, 0xe9199dd9,
+    0xe76a50bc, 0x48894774, 0x32076990, 0x93a55bcb, 0x132319f8, 0xd073893b, 0xdc01e32a, 0xcee4e6e5,
+    0x59352308, 0x90ca97ad, 0x07e14d80, 0x43c4fbdb, 0x0d8ac3d0, 0xc46e2d0f, 0xa6720d4f, 0x787a4263,
+    0xa3dc9811, 0x2269e002, 0x6b65216c, 0x20e1d8f4, 0xb96a8557, 0xc370ad47, 0x52adbf94, 0x6d4b59d5,
+    0xb962aae7, 0xe1a53dbf, 0x312014e4, 0x96390a5d, 0x79b858ad, 0x28b0d3cc, 0x1f06ae3e, 0x595ae91d,
+    0x073c97bc, 0xa9d02417, 0x05d1e695, 0x88cce0c4, 0x683b4353, 0x505c8140, 0xc73d7300, 0xbd8bfed0,
+    0x963946ef, 0x40c418bd, 0xf20ed929, 0x08ca3126, 0x20e0577c, 0x1ba05360, 0x0dfb4395, 0x1a2d969b,
+    0xa4c66f0c, 0xf28697c8, 0x53f6a313, 0x28e635be, 0xf4edcec7, 0x5b2d0ffa, 0x217aa794, 0xc11fadf3,
+    0x76b7238e, 0xd7fb6e7c, 0xa5591714, 0xed4aee13, 0xff5e4aaa, 0x85fb39ec, 0x77d3dbe3, 0xcd94357a,
+    0xdc5ed63d, 0x4fb20255, 0x99d340f1, 0x786eb9ed, 0x28bd01ad, 0x40b68266, 0x30ac6090, 0x5ad71bb4,
+    0x400f3298, 0x2463b733, 0xc5b6a7f0, 0xc81f7756, 0x69129b33, 0xd885956f, 0x4cc49ac3, 0x5c89f5e7,
+    0xb03447d6, 0x8a9c7e4f, 0xfa4a6924, 0x99f7f7fd, 0xe36d7e95, 0x1799dace, 0x3aad6583, 0xae6d48c6,
+    0x5649df29, 0x0508ffe4, 0xb4f51b24, 0xdb775b8b, 0x1e8db9f1, 0xe6a8723f, 0x415e20dc, 0xda5ba5b6,
+    0x3719ba5f, 0xb85a2327, 0xdcad2159, 0x2bbe51ce, 0x86d687e4, 0x30c8b857, 0x6e7a111b, 0xb06d232d,
+    0x218d3dea, 0x33fad1f1, 0x34e365a3, 0x44daea75, 0xe318cb4d, 0xd698b04c, 0xda74bf33, 0x715df1c2,
+    0x0d0cca9f, 0x8d3e0a42, 0xea4909e2, 0x986e2a74, 0x8ac0b8c0, 0xe24b8a23, 0x6cedc055, 0x162fe247,
+    0x4e99e40d, 0x28089c24, 0x2545368d, 0x9e136ef6, 0x113c856e, 0x8354223a, 0x094421e8, 0x1019a75f,
+    0xdca6d4d7, 0xd009051c, 0xd941e35d, 0xb2bc50c4, 0x3995271e, 0xfaa027ed, 0x5f9bfc59, 0x3d335522,
+    0x21bef978, 0xdf15c299, 0xe0e996de, 0xf779d19f, 0x374d2eda, 0xb0e75973, 0xa22da41d, 0xd13c3605,
+    0xb1e46c24, 0x2941ca3d, 0xb696789e, 0x9aa53382, 0x3e8748b7, 0xa0e3e962, 0xf37de9ac, 0xaa82e8da,
+    0x344f9670, 0x9406a2ba, 0xd64166f8, 0x7082545e, 0xa0e20670, 0x48ab1518, 0x22f116aa, 0x72258f42,
+    0x030a72e0, 0xa5454659, 0x403f29f8, 0xe220380b, 0xba281746, 0xfb7aa67d, 0x91c339cb, 0x4afc92d3,
+    0xc94a4c75, 0x0132ac31, 0x0a3db393, 0x218b35e9, 0xc1e9a3e2, 0xbed8fa96, 0xe6dae614, 0x40395217,
+    0x67b102e3, 0xf681adc4, 0xe672531c, 0x277438b3, 0x4e27bff1, 0x759ff13a, 0x9be4aa98, 0x7c73e428,
+    0x685f4a58, 0x535e3879, 0x89293995, 0x3402d86d, 0x0d930107, 0x9af8ea87, 0xb0509639, 0xcca4aa6a,
+    0x1fae7dbc, 0xd58ceb12, 0x963b61f7, 0x8bcf9a59, 0x932286ed, 0x636f607b, 0x023c2913, 0xe626f779,
+    0x77cdcc92, 0x3918db14, 0xf88237ae, 0x8dfcb5ba, 0x935a2145, 0x7f1027ef, 0x67a09be0, 0xdaffa503,
+    0x67691c6e, 0x1f7bf6a7, 0x2cd43931, 0xba638790, 0x78ece0c9, 0x87c5b498, 0x4e9bba9e, 0xc2451fe8,
+    0xdced869f, 0x6c3d0932, 0x050c8f4a, 0x08c64e07, 0x6197f583, 0x94ebdb52, 0x4ec4a174, 0x7fdc55d3,
+    0x850e574e, 0x52fc58a8, 0xe68ff797, 0x878d10fc, 0x0a1b5afc, 0x294f48d5, 0xb0b31029, 0xda901a5c,
+    0x30afffaa, 0xb335a476, 0x7504c5b3, 0x85211c35, 0x21122d68, 0x3b45dbcd, 0x4481204a, 0x37e8eccb,
+    0x3f70e637, 0xfd5b1d88, 0x03c2784b, 0xde1ffd8a, 0x5d28f505, 0x68a0e94c, 0x85a39e49, 0x2f365410,
+    0x721dba60, 0x1fda7c16, 0x6d1f7aeb, 0x2a03a598, 0x148be9ba, 0x976e487e, 0x0cfd466d, 0x89435da6,
+    0x308c3aa7, 0xa29186bb, 0x32f032e3, 0xd1bd7eb3, 0x963cffa9, 0x5113d4f4, 0xcadfc257, 0x7784c3a7,
+    0x3902f634, 0xb09ba81c, 0x36b2fda7, 0x03d05fcd, 0xfe65276b, 0x9f60f661, 0xe5585747, 0x82acbfbd,
+    0xe302ff22, 0x0aa243da, 0x7db679dc, 0xd27c6351, 0x9477dbf9, 0x8d2887f4, 0xaea578af, 0x5dd875cb,
+    0x728e9437, 0xa12866cb, 0x225b8182, 0x59944e7d, 0x87d24576, 0xc4174f6a, 0x467783d7, 0x33e4e7f5,
+    0x0cbd967d, 0xf17db562, 0xc0b1e021, 0x54b719e7, 0xc075d07b, 0x0856d2d2, 0x9ca37d2d, 0x2058f503,
+    0x72a575d2, 0xd756f677, 0x2bb7401e, 0xadd31214, 0xed641a0d, 0x5efd89a3, 0xf5a1ef18, 0x449e6cbb,
+    0x2e1a5ed5, 0x3dc1cfd0, 0x992ce899, 0xf817734d, 0x3a4a4014, 0x4a98bd4f, 0xcd51c6f3, 0x1625c694,
+    0xb7a8782a, 0x6f0097e3, 0x419dc514, 0x4a009852, 0x513b8ccf, 0x98a09286, 0x6aa994da, 0xf5ac6226,
+    0x9885c56e, 0xec8a7101, 0x163359fe, 0x5f9aff10, 0x6f2ae5e5, 0xab47b39e, 0xc010aafd, 0x3ffbbccb,
+    0xadbc76d8, 0x9c0288cb, 0x6f235ffe, 0xfccf3054, 0x98658015, 0x289bf32d, 0xb3ae7eff, 0xcafe6d9e,
+    0x3f9a97ba, 0xe9387f72, 0xa8024f37, 0x4c30aab5, 0xe67ee034, 0x98cd5c37, 0x68480615, 0xf2652082,
+    0x74cbde0a, 0x7edee1b8, 0xa50119c3, 0xa0e13f96, 0x936e3354, 0x64d15968, 0xb8304a6a, 0x4d9e4093,
+    0x8aaa39b4, 0x376912b5, 0x6a82f38f, 0x9b7554cf, 0x83b8bc88, 0xa58378df, 0x8f819324, 0x07f3805d,
+    0xb21c6c42, 0x959713f0, 0xc3fe2b6a, 0x376561dc, 0xcd2cfb02, 0xb4069b50, 0xe0d6346c, 0x43950ab5,
+    0x8cc01052, 0xe0fb3927, 0x439fd33d, 0xb11112d3, 0x60a7576a, 0x02412f7a, 0x8abb425b, 0xa6f4714b,
+    0x83c4e51d, 0x4ccf6bf7, 0xd0f64c99, 0x7dd4601a, 0xc7ae5cc7, 0xfd47f899, 0x366e0894, 0xf683d34f,
+    0x109012d8, 0x06d7b69d, 0xd3044d89, 0x5591662a, 0xa1cb9b57, 0x331240a0, 0xce24aec9, 0x78b8d403,
+    0x874dd4e3, 0x4beed544, 0x27671406, 0x2d3001c2, 0x61469931, 0x7e313dc1, 0x0ce94dc0, 0x647a40db,
+    0x0bba8bcf, 0x6f5e375f, 0x86751f39, 0xf97dfbda, 0x9c59a8f3, 0x3bfcec20, 0xb52dc47e, 0x0de1ea58,
+    0x72e162af, 0x4b3598b2, 0xdf43a30d, 0x9818f0e8, 0x5351a979, 0x3b6d0f5f, 0x1c7f92fb, 0x54b58b87,
+    0xee699f09, 0xe76c51ee, 0xb34d538e, 0x24c51305, 0xdc5b6144, 0xd8088fd5, 0x6d2ea4b2, 0xcf964db2,
+    0x95dff1e5, 0x4efcfd74, 0x0261cec3, 0x68ecdc30, 0xfea701fb, 0xf3ad878e, 0x811bc7bc, 0x3bec03b5,
+    0xfb7ff884, 0x521970f7, 0x6fc65f70, 0x02e625a5, 0x1ba9bdf0, 0x9fffc945, 0xc320c22b, 0x957f55e1,
+    0x3be51995, 0x77b9eb43, 0xc75534ca, 0xd5c7a100, 0xd3012e75, 0xf60a6571, 0xf0d25850, 0xf5240240,
+    0x10cbfc51, 0x031a7d26, 0xb609f8a0, 0x1565762d, 0xb8a8a6fc, 0xb95748f6, 0x17511792, 0xf7961bf3,
+    0x4c8a2c20, 0x47560cba, 0x7f5c3965, 0x675c4563, 0x31b80590, 0xaac18701, 0x0093a508, 0x48a50408,
+    0x00b8eeaa, 0x72a61586, 0x33bb8433, 0x45584a73, 0x5db58b63, 0x070db116, 0x5703763b, 0x0cca824d,
+    0xb4c671eb, 0x5d5cb050, 0x7ca02981, 0x0aab08aa, 0x65925741, 0x0b8a459c, 0x2a5109dc, 0x14a8286a,
+    0xf70d7f2d, 0x784f1142, 0x33548087, 0x3cd6f4a7, 0xb0d45d19, 0xebd90126, 0xc5884323, 0xa1f42ed6,
+    0xc1e9c8f6, 0xfcb768b2, 0x1ba870b8, 0x71d908c6, 0xfdc8e4a8, 0x2774f844, 0xd332e083, 0x0c99f343,
+    0x83c1946e, 0x9453cb88, 0x587d5005, 0x694fda24, 0x0c893434, 0x5d066124, 0x5f88cc97, 0xce96329a,
+    0x1262ec4d, 0x7a99e90a, 0x7b4731ca, 0xd97f5019, 0xe460955e, 0xf368d0d1, 0xc49e5fd4, 0xd0eb9a29,
+    0x853d1332, 0x7c929e6f, 0x5183b20a, 0x70fd9b5d, 0xda23722a, 0x7187db12, 0x3f2288a4, 0x2749d8ca,
+    0x7a82b1bd, 0x66167e75, 0xae669fa6, 0x880de5da, 0xddc0ea0a, 0xa99fac70, 0xae3735b2, 0xca799900,
+    0xfe2c0204, 0x05f5a4b2, 0x39fcb402, 0xd6c15458, 0x07fcc755, 0x5b76ed5c, 0x91d55db5, 0xc61fdd94,
+    0xd0dcfd1d, 0xc37d3fe7, 0x9c9b43a2, 0x10f8a7b3, 0x3e2b536b, 0x24d3b7fe, 0x0b2a4096, 0xf3bdb119,
+    0xe3ec0c23, 0xbb486736, 0x555de118, 0x835f6731, 0xc1f66b75, 0xc121aa25, 0xff94ddf9, 0xe4205577,
+    0xca320ae0, 0x5744265c, 0xff90c1d6, 0x966a9c69, 0xdab53569, 0x5e5d086c, 0x91bd8238, 0xe6039ab9,
+    0xd154d0ba, 0x34de22cd, 0x4ddd8fb8, 0xfa3dec46, 0x84910165, 0xb0cfeadd, 0xfba9ae70, 0x3b670d5a,
+    0x58dc3031, 0x4a2d5ab9, 0xd4a26769, 0x3a15a1f6, 0x06321725, 0xf4e4f62d, 0xf14df0b3, 0x3665df05,
+    0x3e0101ad, 0xb35c117f, 0xcd9f6ce6, 0xcdc039f4, 0x5d406511, 0xe6c98608, 0x4aa273dc, 0xa4ae5228,
+    0x614880ea, 0x85a58c29, 0x67a1dbe5, 0xc8d6620b, 0x32b35ca3, 0x229a70ac, 0x672a7be0, 0x7aad5677,
+    0xe2bd5f21, 0xa612f395, 0x0c2dd303, 0xbff52111, 0x92559e43, 0x7835f72a, 0x75391397, 0xa21f6fec,
+    0x309a3066, 0x6ed47b0c, 0x5836a086, 0x549ad76c, 0xd3daf17d, 0x674c9eb9, 0x667f4d8e, 0x18a3eb9a,
+    0x9f71efd2, 0x77f86d5d, 0x623f2f36, 0x15cda55b, 0x72b02029, 0x88b605d7, 0x138f84a1, 0x9b425c7e,
+    0xcc9f3641, 0x9f22171e, 0x698a224a, 0x31a78d94, 0x7ea71db6, 0xad4c467d, 0x908d1e9a, 0x67c579ad,
+    0xdb90783f, 0x91451cf7, 0xa628ddf5, 0xada10eea, 0xe91d68d4, 0x648828eb, 0x55b42069, 0xddfce4b9,
+    0x8a0528db, 0xf9894f21, 0x16bef73f, 0x70ac059a, 0x02d9b04e, 0x01355612, 0xdbf2b456, 0xc5dd2307,
+    0xd5b0a679, 0xdef86dea, 0x537cceaf, 0xb7497676, 0xf437a87f, 0x5a089551, 0xac6f0b7c, 0xfd775826,
+    0x44576d49, 0x188ba5ef, 0x12ebd64c, 0x0e4b158a, 0x74d6ecd3, 0xc94e4239, 0xff2b33c3, 0x8e92296c,
+    0xe3c9e486, 0x10304ff7, 0xddd2f5fe, 0x1c72829e, 0x2eaf2309, 0x57ff6e83, 0x6b14b844, 0xfeacfd1b,
+    0x22b3d68b, 0xb1fe30ea, 0x009092b0, 0xca5121c0, 0x19c13045, 0xe4d23ace, 0xcbcc567c, 0xd0f38916,
+    0xaa26a802, 0xc34fcfda, 0x2593a500, 0x16041ff5, 0x5c36a30b, 0x99b30f76, 0x4353b394, 0x605d5bc6,
+    0x4c63e691, 0x94ee5c9e, 0xd9fadadf, 0xed3d2c24, 0x66487b70, 0xf4502dd1, 0x12635c77, 0x6036c682,
+    0xf38a5a9a, 0x4d0133f4, 0x3e5478f5, 0x0ee87fd4, 0x29ce50ab, 0x2ade3d8e, 0x1e9f3543, 0x7701d3d7,
+    0x97cc1974, 0x0125bb41, 0xa79f719e, 0x04e00912, 0x4c05eb1a, 0x304e91ea, 0x13e66cd4, 0x3b17df32,
+    0xb75d9d3f, 0xf272333c, 0x8ce323d2, 0xa1844929, 0x131e4f34, 0x3bdf7ab6, 0x890ca6cd, 0x72484276,
+    0x49fa976d, 0x0d98f028, 0x0c05784c, 0x930bcada, 0x49eb63fc, 0x7aa6efb2, 0x9a331261, 0x2058db65,
+    0xf016f732, 0xd00bfe98, 0x9b40852f, 0xcf30bac7, 0x6aa6cb24, 0x74fc89e2, 0xfa1d6fc5, 0x108329e9,
+    0xe86ca178, 0xb1da3a55, 0xc2cfdc84, 0x2bb4401b, 0x6ed2db95, 0x533598c8, 0x77c041e8, 0xb1f49dc7,
+    0xbea1ec75, 0x7727f50d, 0xbfa1474c, 0xf7fdab1c, 0xe6935732, 0x67277cd8, 0xa1883d18, 0x54f846c8,
+    0xf51186c1, 0x93d0d2cb, 0xf4117395, 0x1eee3b9d, 0xb4957aaa, 0xb976beca, 0x64390b26, 0x70bdf128,
+    0xcf5f09ad, 0x75bb6bda, 0x4ea0451e, 0x5d844345, 0xce60e981, 0x93449a55, 0xaf4e9068, 0xe305ab17,
+    0x0ac1aad2, 0xaf197f8c, 0x19292e34, 0x8367f609, 0x915cc2c8, 0xe7b0f1ad, 0xe519204c, 0x7d9432e3,
+    0x2db3db96, 0x453669cc, 0xba5ab8d1, 0x2757f301, 0x684e35ad, 0x20081e35, 0xe2f12a53, 0x6c73e164,
+    0x854ec050, 0x2e9bd59c, 0x06c92b06, 0x8c9227b6, 0x8fb60e83, 0xbe29878f, 0x8fcfc758, 0x70ca07f8,
+    0x5dddd724, 0x87685d13, 0x0bf8d5d4, 0x19e19b15, 0x608c3952, 0x91377602, 0xe866fae7, 0x2bbd0f06,
+    0x7bdfbe04, 0xd65f526c, 0x1fb5c833, 0x9a021760, 0xfe8e67c0, 0x84b1b125, 0x4f21635a, 0xc4bca192,
+    0x00000000,
+    0x9fe2c599, 0x0acb94a9, 0x286bdc90, 0xc75a17ac, 0x7c497d56, 0x3baa3e74, 0x0cca1fbd, 0x05cf0b3a,
+    0x236d5901, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x40000001,
+    0x00000000 }, /* 10**00000000015608742751579961156907986148965831528742990713324855754295784798126\
+                         85869409882810060153051531745985579913465560703311447723987839644142653145088 */
+  { 0x00000000,
+    0x8cbff252, 0xb843e96b, 0x4e17e273, 0xa835ac66, 0xce91aa40, 0x5226b054, 0xbb0097a8, 0x78b607ac,
+    0xc4c0c288, 0xab10ac4d, 0xc4bd0f08, 0x363b9b0d, 0x4eeeb057, 0x9e5aec64, 0x2e4a9b28, 0x28b78acf,
+    0xb60526fb, 0xa763a976, 0x06c10053, 0x8f0a27be, 0x04a9478c, 0x338a9833, 0xc9c6a7cd, 0x48e33548,
+    0x2798da8e, 0x2fc3adbf, 0xa8034000, 0x7f1487f1, 0x1dbda967, 0x3e7c0ef2, 0xd72077b1, 0x47896a5e,
+    0x9eb8f45d, 0x69ad8392, 0xa121e8bb, 0x3d4abb37, 0x28c012b8, 0x400ce1b2, 0xb461e398, 0x4541ac8d,
+    0x15f0fbc7, 0x33ccc200, 0xb0c56c2c, 0x222c60b4, 0x5113e1be, 0x6612759b, 0xdc717b4f, 0xca3fc916,
+    0x350d932a, 0xb1bbded5, 0xf0b45c7b, 0x2a27def0, 0x63a3d374, 0xeaa7c1b5, 0x92670a9a, 0x1f47a932,
+    0x7bf80646, 0x36945e11, 0xc205dcb8, 0x6fddfc77, 0xaf1dc0f6, 0xf3e457fc, 0xcebb8046, 0x587825da,
+    0x9463ac00, 0x31b9fcc3, 0xe4a9a215, 0xd72de45c, 0x9fa031b5, 0x9557d0d8, 0x053e9fdc, 0x2e6b6ad8,
+    0x01036752, 0x5ed423f8, 0x51b40144, 0x387894b0, 0xa73a4f05, 0x02d6d988, 0x15947710, 0xc5be4cc2,
+    0x334e00d9, 0x6c501f4c, 0xc3e24598, 0x3beccd16, 0x48de302d, 0x3a5447b4, 0xb73df0fa, 0x5f329f98,
+    0x1d2e5ba3, 0x9725bce9, 0xed062692, 0xe669802f, 0x41e8b669, 0x18aad76a, 0x59ebe945, 0xb8fb6042,
+    0x1b55056c, 0xc3012d41, 0x79092890, 0x9c692987, 0x7c0d151d, 0xe84ac125, 0xaace69dc, 0x3f1390ed,
+    0x4ffd33f2, 0x1784a9f3, 0x9a5b1084, 0xec2edc8a, 0xc0ada29b, 0x6ebe59e0, 0xd0a7e911, 0x3b1ecc46,
+    0xdd288776, 0x383d76db, 0xa7f0c725, 0x504d4cb9, 0x1c6e939f, 0x8f4a16d5, 0x6fa62416, 0xaf11f260,
+    0x3c0223a3, 0xa0cdc535, 0x373461cc, 0x6845a8c9, 0x8ddf9d61, 0x1012ba7b, 0x53459e90, 0xac766696,
+    0x1be5e770, 0x18aaaac8, 0x455123bc, 0x75c18c57, 0x6acf99ed, 0xe85052dc, 0xf2e7b9d4, 0x876a54dd,
+    0xf2864e13, 0xf04266ad, 0xf7e5826e, 0x55a2f451, 0x20740ed8, 0x87cb3926, 0xdbe4d575, 0xe6e48028,
+    0x71a2f509, 0x3546693b, 0x4da8101e, 0xb966e637, 0x34fd16dc, 0xe6cd951e, 0x5ffd7624, 0x2d1c7e07,
+    0x1ef1a018, 0x0e86b57c, 0x776cfd9e, 0xcf4fed16, 0x181fa0cf, 0xb8a271c7, 0x99c0cce8, 0x72949406,
+    0x08358f12, 0x03483d6a, 0x97af17a1, 0xcc3266a3, 0x43b28d60, 0xc46d796d, 0xffa2b79d, 0xda24c8d6,
+    0x9cb3f2af, 0x41f19d46, 0xef2d7412, 0x6d8a6f7d, 0x75e51547, 0x2d455ac9, 0x922bfbf3, 0x7f6fc24c,
+    0x4ad958c8, 0xece9a4fa, 0x6fd9a534, 0xf1d97235, 0x839b11d6, 0x4756c47b, 0x4884edd0, 0x161b0850,
+    0x4693dbf1, 0xfae8386a, 0x9721e87b, 0xe3012a63, 0x12c684aa, 0x19aa2586, 0x5c4f8531, 0xe35774cf,
+    0x051627b4, 0x15cb0304, 0x43ac3234, 0x6bc96897, 0x669826a2, 0xad640fc1, 0x9183b2db, 0x4303785d,
+    0xf6af41b5, 0x48f5e1c2, 0xf427e778, 0x3a3cb409, 0xe1925d4c, 0xd034f237, 0x921f8f4f, 0x6dcaff5d,
+    0x1ef250db, 0xbd6c8984, 0xa2351fdf, 0x298676ee, 0x09cdc115, 0xc091d80f, 0x660385c0, 0x4f1ce694,
+    0x2413c405, 0x016a8338, 0x9113085c, 0x581c8fe6, 0xc44fedc0, 0x07169147, 0x12eaa527, 0xb718a452,
+    0x116de783, 0xa5cbe1b5, 0xa750d452, 0x65763b13, 0xa36b0937, 0x4ea0dc62, 0x90c3ef4d, 0xb8ee84c8,
+    0x2c2475ef, 0xecf75c41, 0xb2620262, 0x34511e0b, 0x66b0cbe6, 0xfbbc7903, 0x37940513, 0x61ff6d3e,
+    0x80726b8f, 0x6bb39fe7, 0x747d57a4, 0x68c3bfae, 0x63988218, 0x978a9540, 0x9c255033, 0x27535b07,
+    0x1c54fc90, 0xe1db8d37, 0x79fd2652, 0x4c355c53, 0xdd81403d, 0xa2923a5e, 0xc5835f3b, 0x33ea907b,
+    0x972f8067, 0x471f2526, 0x9712af8b, 0xae05469d, 0xc4be7fed, 0x91ff2c2c, 0xe2339f1b, 0x5615f7a9,
+    0xf635ea65, 0x9b82aec4, 0x5ef1bc3c, 0xe57201d1, 0x062bbfdb, 0x0b9a2487, 0x9df2257c, 0xcfaf7a04,
+    0x6c0a1de2, 0xcd041e0f, 0xbbdbc84d, 0xb4f695a7, 0x9d5a06d7, 0xc907adfa, 0x84947b3e, 0xa7dbba51,
+    0x19b580cf, 0xd120a21a, 0x52ea8b80, 0x02bc6daa, 0xb602dff7, 0x7498145f, 0xec352a60, 0xebc27e6c,
+    0x42d1f00b, 0x8af35e07, 0x0c68d459, 0xb9c16b7b, 0x9dcac3f5, 0xbfe76730, 0xc5c12908, 0x8acb7f1f,
+    0xc7eb57fc, 0xd51b1bd9, 0x294f1a13, 0xfbe561cf, 0x0ff1706a, 0xe57ffcf1, 0xbc25ed8c, 0xf75bb490,
+    0x9459d97f, 0xac6b2918, 0x159d602b, 0x74c7b292, 0xf7db8036, 0xe21cee3d, 0xa91a914a, 0x4fe47125,
+    0x168fd634, 0xa95a6b18, 0x3aeeebc1, 0x6ebf6aa9, 0x6bfd33ed, 0x79a14db7, 0x25e47cc4, 0x18502a54,
+    0xa090678c, 0x8245dc7b, 0x03f8f38c, 0xca1db9a9, 0x9351a450, 0x62a8000b, 0xc4c9d2d2, 0x680450bb,
+    0x88a97cf5, 0x532a7ccb, 0x714ca036, 0xdb453c02, 0x088dff85, 0x5fef93ee, 0x02405f79, 0x87ff332a,
+    0xee0b03ae, 0x8cfb4f8d, 0x9c71f3b6, 0x3bdd6b44, 0x61bcbd07, 0x7992563e, 0x706bfdc7, 0xf04d1570,
+    0x1d3aaa03, 0xeab989b4, 0x56650613, 0x879a00b4, 0x8686932c, 0xe581b35a, 0xab3c7aae, 0xe6622299,
+    0xedb91857, 0x6abf7e22, 0x0af91580, 0x5368dcba, 0x697c6263, 0x0d6b4f4f, 0x372f9667, 0x090633b7,
+    0x0874aac0, 0xe1e097ad, 0xf9c08605, 0x54e333d7, 0x4d1db101, 0xdf52698c, 0x02b14819, 0x23e26145,
+    0x049bc185, 0x0ad3f3a8, 0x4ad0fec9, 0xe08d49ee, 0x1af798a1, 0x7a942215, 0x9b8838d6, 0x5f1ef5fb,
+    0x2f011205, 0x9cf94fd6, 0x9a992e06, 0xbcd01194, 0x3e80ca9f, 0x0ede7e8d, 0x2e65c51e, 0x29508f93,
+    0xa82f3b48, 0x500ee741, 0xd843e011, 0xe60307d7, 0x1ddf8529, 0x624439d2, 0x645231d9, 0xb031194e,
+    0x37489997, 0x06aedefe, 0x0f24f7ed, 0x2ec1ad98, 0x62cb39f7, 0xe3d7f090, 0x90ad691c, 0xcf074867,
+    0xf6f98c19, 0x20facbd4, 0x55c36f8d, 0xc4f75be8, 0x1c65b137, 0x406f2733, 0x84250337, 0xc3e40dc0,
+    0x1d3f588e, 0xd79f8750, 0x42c07375, 0x85fad7e9, 0x5f5ecac7, 0x35388864, 0xc5d27df0, 0x8aea4509,
+    0xe6df1233, 0x6b4b5cee, 0x3fcd5089, 0x89fd2c81, 0x2ea8bb13, 0x3a5580f6, 0xfea01663, 0x568b7e2f,
+    0x6d81c239, 0x034eb54f, 0x3c82a48f, 0x5aca5b82, 0xc48fffbe, 0x5baa4237, 0x044ef552, 0x6bc925d0,
+    0xa2be1ab7, 0x40bb319e, 0x77fb44af, 0x8847283e, 0x39dc0697, 0xb6f02e88, 0xca87999e, 0x2607cc23,
+    0xb5abd79e, 0xbee7b9ff, 0xa81691ed, 0x2401245c, 0x13d83c80, 0x64a03d64, 0x7ea59b32, 0xadce0cc7,
+    0xa4d7d65a, 0x68bd4c9c, 0x879e4171, 0x15a890a3, 0xc0e20115, 0x6db3ea42, 0x216e02e3, 0xdc155514,
+    0x9785687d, 0x02a77491, 0x3f9b483c, 0x92f9a9b0, 0x5a0b1fdc, 0x6953b565, 0x45bdf75b, 0xa80d1f56,
+    0x9e29e1aa, 0x9a515380, 0x888f8afe, 0xc21a04c3, 0x8ee3734c, 0xf39279bb, 0x26d4c4e8, 0x7b63182a,
+    0x60ace031, 0xce494a52, 0x6f301b7a, 0x1c093d16, 0xd74c1d0c, 0xd236fb7f, 0x91622a25, 0x866a6577,
+    0xabcfb910, 0x8d7e0475, 0xce8a8808, 0xe782a9d5, 0x8a4d0a01, 0x0f4603b1, 0xd0c2edcb, 0x08635805,
+    0x5c2f9969, 0x021164cf, 0xe4d6d3ad, 0x537f0666, 0x550827d3, 0x06b917ce, 0xefef62d9, 0xbb9c267a,
+    0x5ea114d6, 0x2244abc4, 0x875b2d04, 0x378f3968, 0x0fea0358, 0xa911c96d, 0x9d055761, 0xb3a515a5,
+    0xf018654b, 0x5c0e569b, 0x9e8e1cb5, 0xdc77fe40, 0x28fc4fbe, 0xd0bf8ddd, 0x4c746add, 0x304938e2,
+    0xbf3810dc, 0xe593f7da, 0x07d6991e, 0xcaf4c052, 0xe0f3adc9, 0x8f235745, 0x7414a704, 0x2bcddff1,
+    0x727c4dd0, 0x0e13aa4e, 0x38af48e2, 0x341c8a11, 0x791a34e8, 0x66a68347, 0xbd1ad43b, 0x36e238f4,
+    0xf1780f5b, 0x33957037, 0xe5496b84, 0xe9a082d0, 0x43a79fc0, 0x197cfa85, 0xc9befeba, 0x09dc5fb6,
+    0x2ad4ff96, 0x7403af91, 0x787a2909, 0x0e811f46, 0x0f90974f, 0x6e6b14e6, 0x6fc8bd45, 0x2200580c,
+    0x9ced819d, 0xb6b83fd1, 0xd636873b, 0x83958a01, 0x26fbd965, 0x30ba9671, 0x60acb19b, 0x948f38c4,
+    0x26757409, 0x9e07e962, 0xc9c2cbfe, 0x5f0706bb, 0xd9943f54, 0x51fc7569, 0x1081d4d9, 0x99d2b80e,
+    0x53583672, 0x75f73107, 0x29474329, 0x3486d526, 0x7361dc34, 0x49d48ec8, 0xd1f80c68, 0xebe820b6,
+    0xb311f153, 0xd78ffcc7, 0xe712c55d, 0x5285a8f4, 0x2afc9269, 0x20a9006c, 0xbaf4f875, 0xe5315990,
+    0xb75618cc, 0xa132ffe8, 0xb2b4bb1d, 0xbdb140a0, 0x0ad4530b, 0x9eb423a5, 0xedddb356, 0xc64543ff,
+    0xdb02e89c, 0xa0c14a2f, 0x07c0ff06, 0x484a662a, 0x83a22f29, 0xaec59b29, 0x2eb58b42, 0x5ce4274d,
+    0xdb420239, 0xe36904cd, 0x8787faee, 0x4e3330e2, 0x56da7614, 0x5369d6f7, 0x08a92d46, 0xb7a58857,
+    0x01f3c2b4, 0xc5e26629, 0xe69a37b4, 0x2aa2e522, 0xa53742e6, 0x38be6bc1, 0xb75fc543, 0xbc86afc7,
+    0x7a6844dc, 0x7160a586, 0xc807bdfe, 0xe5c273bc, 0x11072634, 0x7192b5b7, 0x8b0fad9d, 0x5e1f1044,
+    0x05635976, 0x1883b7cc, 0x7e8029bb, 0xc47cf0d9, 0xfc710f73, 0x21531390, 0xff3364c2, 0x0c6ae2bb,
+    0xafc345c4, 0x30214c78, 0x2f7fa9bf, 0x342cdfec, 0x99632b56, 0xe1458ada, 0xbd28dfeb, 0xf5d9fc6b,
+    0x166bff63, 0x8b859c8d, 0xa349af5b, 0x6f6a8edd, 0x54376f46, 0xef0ee644, 0xcb94850a, 0xdde29e05,
+    0x13f8da46, 0x6fbca1dc, 0x9dbc4782, 0x0958231a, 0x76397c5d, 0x885d1575, 0x7bc015d9, 0xddfdd0b6,
+    0x41fd9847, 0x508f403d, 0xfe9542a6, 0x9d3a6e41, 0xeb4295ee, 0xdea7cc74, 0x43b2b4ff, 0x8f170ca8,
+    0x5aa5a974, 0x3bb61c9b, 0x2746b897, 0xd0fb9923, 0xe1ccca07, 0xdb22c7a5, 0x8a4eaae7, 0xbf4a5463,
+    0x7406be00, 0x36765f63, 0x3beaa2ae, 0xbea4a998, 0xeafc76d0, 0xd5489ba7, 0x95d07e80, 0xc10c878e,
+    0xd09de461, 0xbd9e1459, 0x58d24606, 0xe7d33c80, 0x0c740011, 0x8c2803d6, 0xe0237380, 0x135e56ff,
+    0xe000bc1d, 0x0ae41d0f, 0x609911e7, 0xda5d7269, 0x4801e251, 0x62eb4f20, 0x5ec23743, 0xa2fd1b5d,
+    0xfc1f1a28, 0x6d4bd00b, 0x42c0b7d7, 0xa685c5da, 0x3407de93, 0x52e7fd6d, 0xcb298d4a, 0x7d98a18c,
+    0x9f863619, 0x65be3ca8, 0x1bec1118, 0x6b65db8e, 0xc45bda84, 0x85d0dfbd, 0xb63a6184, 0x4829ee02,
+    0x62b23352, 0x94c28c4b, 0x5a7c37a2, 0xd90396ca, 0xeeece9ef, 0xd0f72724, 0xb5afce17, 0xcb4c6a81,
+    0x0e25753e, 0x32cfa121, 0x542831ec, 0x96d4f664, 0x29c4c566, 0x62af93da, 0x085c5999, 0x11037385,
+    0x300363dc, 0x1b828d90, 0x93dddb20, 0xd414f042, 0x36f0cd7f, 0xaefa3e62, 0x09d92194, 0x2dfe86d1,
+    0x6c54908a, 0x8f17527c, 0x926ac4d3, 0xa6cdd3f6, 0x204b73c0, 0x0e2c3c8f, 0x1c2c04d5, 0xf2550851,
+    0x49d8b3e5, 0x6b492051, 0xb7ab1e30, 0x16aa430c, 0xc2832c90, 0xac041a1f, 0x82ba3f23, 0xf62952b7,
+    0xa8bc6bd1, 0x7903db37, 0x92f4d3ee, 0xb94edb67, 0xe56480aa, 0x091c72de, 0x33855790, 0x0abd0e59,
+    0x991baf74, 0x5599b4e1, 0x27fb9563, 0xcdde6ec3, 0x96bb44ba, 0x33094cf2, 0x13b46e3d, 0x792d84c0,
+    0x74804395, 0x046100be, 0x0d6b7efb, 0x0ece48ff, 0xba0f953b, 0x8283998d, 0xcda0c2c2, 0x8a65ccaf,
+    0x69b0656d, 0xe4b4809d, 0x9213434a, 0xf365e725, 0xc0bef701, 0x0d8d21ea, 0xa8accdee, 0xb7163732,
+    0x0dc8450a, 0x89539a13, 0x15c06254, 0x243f1be9, 0xf8d18114, 0xcc8b1d24, 0x176c2910, 0x30107a40,
+    0xce6b927e, 0xae0d8267, 0xf262d060, 0x4933af5a, 0xc1080dec, 0x7e29c3cf, 0x1cc10d80, 0x335e3633,
+    0x1f665fdf, 0x261b5df0, 0x1234ea5c, 0xee520f78, 0x5c3b593f, 0xafd4b337, 0xcc3410ea, 0xc1b9075c,
+    0xf15943f1, 0x84c20db9, 0x401fb6a8, 0xcc166661, 0xa27944a6, 0x77678bd3, 0x4ca6eff8, 0x4ee7a462,
+    0x9ca6f057, 0x7ca4ddf6, 0x85cb008f, 0x25c12dc7, 0x5e784475, 0x9f5d52e6, 0xd0c4b826, 0xb4e3ba4b,
+    0x601abaa3, 0x343521ab, 0x90a85e31, 0xfb56ad67, 0xc8362d23, 0x371f8f83, 0x61e09fc2, 0xf2ac0005,
+    0x2dc5070b, 0x78157033, 0x4a369be8, 0x99b08f4b, 0x3fa61b10, 0xc64fd4d7, 0xd2d3f412, 0x5e3f29b1,
+    0x99f59a66, 0xa4023006, 0xc065847b, 0x00650740, 0x66495564, 0x60596803, 0xe6888497, 0x43aec32e,
+    0x105f607d, 0x90c6cf93, 0x4287cc2f, 0x7ba18ca5, 0x3db89d1c, 0xa83d6ca0, 0xe89d44ea, 0x2dd722e2,
+    0x1387cf8e, 0xc66f6309, 0xc352d025, 0xe2456e24, 0xd34ecda7, 0x5459a19f, 0x785a84cd, 0x2d0ea348,
+    0x05f29130, 0x345e3e57, 0xfd374960, 0xfeb3f3d5, 0x4a4c2ff1, 0x709cc68c, 0xfaa49cac, 0xcd58766b,
+    0x452271bd, 0x91d59d82, 0x53d8c141, 0x0ab94b12, 0x507f9e75, 0xa3cd3f1c, 0x7e5c77d8, 0x86ecb4e5,
+    0x7e057f92, 0xa9460cbf, 0x419d0d16, 0x76308f01, 0x6d6585e9, 0x65d076ef, 0xa35399c9, 0x6e66b3f9,
+    0xf17b9f0e, 0xc6c26d72, 0x02e1f80f, 0x15401c04, 0xc92dd9d3, 0x36de7cfa, 0x5dabd4af, 0x978b01fc,
+    0x507dfa22, 0xe684e74e, 0xa4c2bb1f, 0xe119b025, 0x917ee0a0, 0x70f83296, 0x5e0fa927, 0xa1983ad1,
+    0x6d14db04, 0x0aa13720, 0xd7c1d532, 0x01c81dc8, 0x14731a48, 0x79e15e3f, 0x6e4bc034, 0xb99fe218,
+    0x2647bac2, 0xc3f58cd6, 0x7c08104b, 0xdfc9362e, 0x4315b925, 0x0b48338f, 0xf64d8cf6, 0x6834446c,
+    0xbd227c5b, 0xb6ab6a47, 0x265df02f, 0x16c1b6bc, 0x49d53160, 0xa466bdc9, 0x483163b7, 0x53dba41b,
+    0xb4d4c01a, 0x79956659, 0x8ad98b08, 0x0ed17c0e, 0x0e566c42, 0x25d54b77, 0x56bc07b6, 0x06949d00,
+    0x1c1058c1, 0x7463ad53, 0x5e15774c, 0x4705d368, 0x2a1fc47b, 0xae9242a4, 0xde0d39fd, 0x35250dbb,
+    0x3e8e3b7b, 0x13804ad8, 0x9e5c89f2, 0x6be45101, 0xcd1f990e, 0x6c832c3c, 0x71daf37a, 0xaec893e3,
+    0xb56f7a8a, 0x49ade863, 0x323ce905, 0xef6f2f61, 0x447cc320, 0x84f67019, 0xd3463aff, 0x72054c9a,
+    0xf0f58b03, 0xf134a7f7, 0xb66aab53, 0x070d6b04, 0x0975d9d6, 0x3ac7c3ef, 0x6df90971, 0x5504043a,
+    0x8ed606f6, 0x32e73730, 0xf46e0385, 0xc79d9f20, 0x2dc03e46, 0x2284a3ad, 0xf3754dd9, 0x78ba732b,
+    0x0b0a7639, 0x7ccb8dbe, 0x32c89de1, 0xa9e91e18, 0x793bb9e0, 0xc13aff56, 0x9a138a53, 0x58a52630,
+    0x78507c72, 0xfe2b7dc1, 0x548cbf3e, 0xb2d3d52e, 0x3d734f23, 0x66cc5270, 0x1b198d68, 0x98dcbd81,
+    0x46b054bf, 0x2f71713b, 0xc4236094, 0x7105d7a0, 0xe7d8874e, 0x469a0d41, 0xbde05d2b, 0x30af9c98,
+    0xceff02dd, 0x3f92975c, 0x2a402454, 0x95c45f70, 0x3326f21b, 0xe82975b2, 0x0571a9c7, 0xdbf95329,
+    0x363ce414, 0xd42701ed, 0x660954ba, 0x5b8e4b23, 0xa7f50f6b, 0x6fabaf63, 0xa5f89356, 0x9eb07a6e,
+    0x00000000,
+    0xcff162cc, 0x0565ca54, 0x1435ee48, 0x63ad0bd6, 0x3e24beab, 0x9dd51f3a, 0x06650fde, 0x82e7859d,
+    0x91b6ac80, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x40000000,
+    0x00000000 }, /* 10**00000000007804371375789980578453993074482915764371495356662427877147892399063\
+                         42934704941405030076525765872992789956732780351655723861993919822071326572544 */
+  { 0x00000000,
+    0x1c3fadd4, 0x0223430b, 0xe9148872, 0xb2fe7211, 0xe071eaf0, 0x11a023ff, 0x3aadc3e6, 0x822e5ce6,
+    0xf14b7ac5, 0x4c9b4ee6, 0x802d5bfb, 0x67185776, 0x16e73318, 0xb9b6852b, 0x9eb7483d, 0x352a89b4,
+    0xc0e0f6cf, 0xd2c38942, 0x339ef3c4, 0x6b4a8327, 0x672a144d, 0xe3118a4c, 0xc0bfc7ec, 0xce0560f0,
+    0x5fe6ded1, 0xe1200218, 0x7dc17293, 0x77929152, 0xb7c4549a, 0x7d4f21ad, 0xe5769047, 0x7edb44dc,
+    0xdfcdba9f, 0x770376d8, 0x37217bef, 0x850d0716, 0x651a8cef, 0xd507f720, 0x552d873c, 0x9980c626,
+    0x4f5ecdf7, 0xa2ef6ec5, 0xd0380c49, 0x50088662, 0xb566d8e9, 0xf9ca6362, 0x45f6c691, 0x9342443b,
+    0x546fd889, 0xc94a5d68, 0x212b825f, 0x863aab74, 0x0b3cf006, 0xfe909e28, 0x11b4520d, 0x3a56ca58,
+    0xa75c8ce0, 0xf1c8e4b2, 0x4c4f68cc, 0x8b25a10f, 0xe01bc78e, 0x606c978b, 0x708a55ca, 0x105c0990,
+    0xc9c9ac80, 0x05de51e3, 0x8539a87d, 0x7d43ef74, 0x4501d554, 0x370c8240, 0x38b33579, 0x9cb13022,
+    0x00c1f670, 0x789b93f6, 0xbb9fd2ab, 0x5f22e52c, 0x6543b469, 0xb376eb98, 0x48a32c26, 0x21e1fbcb,
+    0xe77ecba7, 0xca6d0107, 0x34bdb8e2, 0xcdddf5f6, 0xa9b3f42b, 0x20f5462e, 0x6863f260, 0xa7ed12ca,
+    0xff094f48, 0x99e9844a, 0x147f3c3d, 0xb0ca8b1b, 0x533ade4a, 0x40ae8260, 0xc6bdca38, 0x844306f9,
+    0xcfcb837d, 0xbdd0f351, 0xf3a59fab, 0xde58353e, 0x522f5644, 0x4ae44604, 0x1dbf1c13, 0x558e93f4,
+    0x06f86ce8, 0x1d70b422, 0xeaa9363f, 0x3623eb91, 0x7d090f00, 0x2354976e, 0xd4972f28, 0x6f06459d,
+    0xa4152c4e, 0xba78f2dd, 0x9d451fd7, 0x0d19a491, 0xcc2a4be2, 0x8d0cec84, 0x9ff89449, 0xe53c2991,
+    0x6a54aa51, 0x1dd2550a, 0x142203f1, 0x20ab2ed1, 0x215a8d09, 0x0fc5a0b0, 0xa4b247cf, 0xca8503f8,
+    0x2c203492, 0x2060543f, 0x8a4ec605, 0x440a43e1, 0x9288d653, 0xdecc7fe1, 0xa053a317, 0x3f1ccc3c,
+    0x2f7d0b86, 0x0748d7a4, 0x9e5ca51c, 0x29ada03d, 0x2222d67c, 0x09420d6b, 0x2c5be92d, 0xeb4a99c7,
+    0x0374e3d8, 0xc41910a8, 0x722531e7, 0x521c4d97, 0x8f62eda1, 0x9154dfc4, 0xe09585a5, 0xbc1d1d42,
+    0xb9f5ba8c, 0x87629d2b, 0xb9751195, 0x049c4d9b, 0x6d32cb17, 0x76bba49b, 0x97e044b7, 0x69b72da6,
+    0x545a9acc, 0xb725f0d3, 0xe89ead42, 0x826f70ac, 0x8a282065, 0x9436b4e7, 0xc2a2f7fa, 0xa90f815b,
+    0xe3da4bc5, 0xa69d8aba, 0x02f80dc2, 0xac991099, 0x93f94995, 0x2ffdb303, 0x662f4089, 0x73425732,
+    0x333d3a0e, 0xc02fce91, 0x4211f562, 0xb70264f1, 0x02174441, 0xb677f287, 0x963adb77, 0x38cd8a62,
+    0xd8123782, 0x4bbd9032, 0xc48a1d79, 0xedb65c55, 0xb733f6de, 0xf93630d3, 0xbbe9b2c2, 0xdf03ec58,
+    0xb0d554cb, 0x14d5b1de, 0xaf0ddc2c, 0x544f3797, 0x4c764a8f, 0x9b139bae, 0x106c2b3a, 0xa131cd41,
+    0x2efe0e9e, 0xf5ed07e6, 0x15cf2f96, 0xbd6d2ca7, 0x37bf61ac, 0xf2e13b29, 0x7634ba04, 0xfebece86,
+    0x5efbbc6c, 0x346bdb11, 0xc2807d0c, 0xd0e8024b, 0xab001e71, 0xae0aede2, 0xdd94f34c, 0x8148734a,
+    0x81fd95df, 0x0d5b6f6d, 0x71965f72, 0x9ae3ed6b, 0x8448489a, 0xe2a6cf96, 0x9e30764c, 0x388c68cb,
+    0x0af1ce5b, 0xf8f6894f, 0x53f4ed11, 0xfade1849, 0x1264ff7b, 0x8f8d5633, 0xba4e6345, 0xba38d2c5,
+    0xa2c95639, 0xb0c8be7c, 0x5ed21287, 0xe35f45fc, 0x030655fc, 0x614a55e8, 0x833b9e84, 0xc54203d0,
+    0x448effc1, 0x0c130bb0, 0x965bf102, 0xe75fc9db, 0x2c9b98d3, 0xa3a3b31a, 0xa1ff7411, 0xf860bf2d,
+    0x7920c0e2, 0x579e30ed, 0xc82550c1, 0x80458f84, 0xbd59909e, 0x96fb7b4b, 0xf046ad9b, 0xf89f8dab,
+    0xe59efaf5, 0x07f6a604, 0x0073835e, 0x956d301c, 0x1d1bc423, 0x6aa7e04b, 0xc5f58086, 0xaad7764c,
+    0xb80122dc, 0x5dc903d8, 0x97920f8b, 0x8cf9a82b, 0xf69ab539, 0xf3dc11fe, 0x05487267, 0xf9d2eccb,
+    0x708aef10, 0x467bcb8c, 0xf87a1783, 0xf34752fb, 0x4d7f3154, 0xe0683301, 0x96b7bad8, 0x3652e03d,
+    0xb0d181ab, 0x6758146c, 0xd7690ebe, 0xa32df7f5, 0xd60ff344, 0xfa98cf3f, 0xc4daae4b, 0x4d7c9dbc,
+    0x90e4f613, 0x226f39d9, 0x3027ad81, 0x38df5ae5, 0x21e33520, 0x473a4358, 0xc081c871, 0xf58b218b,
+    0x4de0f283, 0x8e8612b0, 0xb4b8c526, 0xdc491747, 0x8d094e46, 0xf16d6a72, 0x02db3298, 0xa1904f0a,
+    0x338f3060, 0x9fad1615, 0xd84d5d64, 0x7a0f6a89, 0xad5b1102, 0x181456a7, 0x04afb873, 0xb92a8327,
+    0x1a2d9725, 0x11296431, 0x4539c8af, 0x7d2c1e0c, 0xf0d50e03, 0xac18a429, 0x3d375c96, 0x7968ba9a,
+    0x5f1e444d, 0xe3cf6883, 0x6e64cd40, 0x3f61c306, 0x1d61f843, 0x3e0ae8c5, 0xdf466a55, 0x673852af,
+    0xf436e740, 0x2ef76ddf, 0x448a58d2, 0xf419bfdf, 0x4e3b1104, 0x9656f841, 0x49aa59d9, 0xee5830aa,
+    0xb8f82239, 0x8eb0ddc7, 0xc8528700, 0x86282c36, 0xea62c6a5, 0x615d990e, 0x0bc15612, 0xdb60b2d1,
+    0x267385df, 0xce918e38, 0x7f8150bb, 0xb98c4c01, 0x85d7fe56, 0x1e51f2c0, 0xf8d5ec1d, 0x2b69d140,
+    0x4ae36295, 0x58981c54, 0x9cefb398, 0x395d5c57, 0x3ba1f0d7, 0xb981ff8e, 0x84858f84, 0xdc35a94b,
+    0x095ddc3d, 0xe1299377, 0x03ec12d1, 0x3aac6383, 0x411082d7, 0x0dfc8685, 0x4803bd7e, 0xa4aacd0b,
+    0xb5731719, 0x5faf19b8, 0x34e79f54, 0xd2e3b2fc, 0x29ab50c9, 0xbb6b2473, 0x298fc6db, 0xc1b12280,
+    0x621089a7, 0x167cff05, 0x3da2e8b7, 0xb82ab94a, 0x9dd94c1d, 0xd09d2b11, 0x23102d80, 0x6b824eed,
+    0xb1f9d73f, 0x61985a44, 0x5c3ec466, 0x39b7652e, 0x89849388, 0xb5729e3f, 0xab910d6b, 0xbaf1881a,
+    0x6aa4adf2, 0xaac8af7f, 0xdea303a3, 0x343060a5, 0x777187a5, 0x33b5b60c, 0x75b3853a, 0xf7b6b497,
+    0xebe6e8bc, 0x20f3c750, 0xbce52bc5, 0x35e46819, 0xfe56285f, 0x402a0edd, 0x1e59129c, 0xa846b982,
+    0xd924c16b, 0x9636231e, 0x326bed59, 0x8bdb2b81, 0xd7fb9b35, 0x275d9eea, 0x69701205, 0xbabc79e9,
+    0xf6154927, 0x67092ef2, 0xcd659e91, 0xeb50e61b, 0xff276fad, 0x16333a8e, 0xac076555, 0xae81bcee,
+    0xd8e76d89, 0x879af8de, 0xaae21def, 0x0e3894f7, 0xf6f48566, 0x53c87521, 0x27a5d55c, 0xb3272849,
+    0x4f430d0b, 0xb056da27, 0xe1f65f91, 0xc9d1c722, 0xae9709e7, 0x22e94d92, 0x2273a68c, 0xf9f611d9,
+    0xbc18f5bd, 0x22b9b680, 0xa5c07830, 0x39eac1ca, 0x71343b5e, 0x219ca9a1, 0x0508c990, 0x4c974c4e,
+    0x1ea26717, 0x0244c4f6, 0x90f1e4f2, 0x9dff1541, 0x3b1cf67e, 0x330d9ebc, 0x7a2a288c, 0xf365a1b1,
+    0x3b655827, 0x3e66db6c, 0xfe56c9c6, 0xbc400c23, 0xf550bd71, 0xa911b0f3, 0xe77d9251, 0xfbc06612,
+    0x3c5273f2, 0xe08349c2, 0xcfdbfb19, 0xd7057694, 0xf9f72a25, 0xe41b875a, 0xbe811954, 0x4f9ef62d,
+    0xc39f30bc, 0xe773261b, 0x895e9e04, 0xb3ac8c73, 0xf0e58062, 0xbc6dd6d3, 0x74d7a82f, 0xd8c2f244,
+    0x937fb61f, 0x06b3cf84, 0xad3e2092, 0x1c5d6e60, 0x50b91f32, 0x4c2c5713, 0x04b7cbda, 0x31a09d17,
+    0x0d228f4c, 0x82b3be31, 0x69333456, 0x9ed002c6, 0xd376271e, 0xfecbfc1e, 0x626fc9b9, 0xaaaac418,
+    0x92374fb0, 0xde30c9f3, 0x70450a3d, 0x02d107da, 0x26a564d3, 0x85c1f071, 0xc61dddc1, 0xa2835126,
+    0x527c45b0, 0x99f563d1, 0x3c9bd911, 0x39eb598c, 0x2ad722f1, 0x8f7764f4, 0x5f57e86b, 0x36a66762,
+    0x065d93da, 0x146054ca, 0xbb9cc5c6, 0x30802e9c, 0x6a55c5e1, 0x17d102de, 0xd23bbf4d, 0x3f7af49a,
+    0x68d1853a, 0xd8f45b57, 0x9110c606, 0x39123d47, 0xa1c01082, 0x2cc49061, 0x8ca77e93, 0xf5091e1f,
+    0x0b5cb791, 0xb3550d09, 0xb73db6a1, 0x2c76f77c, 0xffa24ea8, 0x33ad437d, 0xb530e829, 0xd340d1d2,
+    0xc9b0bc33, 0x91225bc6, 0xe7d45973, 0x062085bc, 0x98df246f, 0x18fbd540, 0x8a20137b, 0xf500492e,
+    0x4db192ce, 0xcad56782, 0x45c56c52, 0x866f05fc, 0xf5887ee2, 0x5f3bac80, 0x79d2585b, 0x2fc346d5,
+    0x8f88100b, 0x2e650065, 0xfbeadc96, 0xf0f7006d, 0x43b6a4c2, 0x8d1e02c1, 0x30585e67, 0x6b4c3fde,
+    0x308f1721, 0x5b7b5c5a, 0x3e48a3cd, 0x66e6fc42, 0xecf2a738, 0xe656ac5f, 0xc2db6fdb, 0x4b3a4e8a,
+    0xc0d5f34a, 0x12574156, 0x46b8d98b, 0xcd09c9e5, 0x0801d3bd, 0x4bf9073b, 0x6cd41f51, 0xd35369a6,
+    0x90a2185d, 0x9e6607f2, 0x126195c0, 0xc1c052a1, 0xdad2b846, 0x80e67668, 0x73e68bc8, 0x57e9a682,
+    0xf5caf0e2, 0xd2ed5ca5, 0x2d365f5a, 0x1687c4dd, 0x49d53c68, 0xd40b3286, 0x9ce489e2, 0x8a77f753,
+    0x9693eca0, 0x6d09939e, 0x5bcc77ac, 0xde155278, 0xb3339953, 0x74d51c43, 0xc81ab415, 0x9b645350,
+    0xf757016e, 0x58e21b7d, 0xdbcd3f19, 0x56719888, 0x79f5098a, 0xd08201cf, 0x5922d981, 0xedca5e8e,
+    0xee7399fb, 0x89af08ad, 0x6653a031, 0x87766f95, 0xafbd0eb2, 0xcd388e46, 0xfd2dd29f, 0xfaba315d,
+    0x1eae45a6, 0x07e0b2ab, 0x7d20565a, 0xddb655a3, 0xada3434e, 0xf970da1c, 0x51a36363, 0xdb861dac,
+    0x85cfb7ee, 0x3e5ee79f, 0x6630a82d, 0x1a8e8f8a, 0xdf0b5053, 0xf57cf284, 0xf541382c, 0x95d8decf,
+    0x084ddb61, 0x63dbe9af, 0x92fc508b, 0x24069589, 0x8e774276, 0x6d4d7f9b, 0xbca3d7bd, 0xc032c890,
+    0xa92869cc, 0x9eba19bb, 0x93691098, 0xd348909d, 0x98f333c3, 0x21104396, 0xa91c435a, 0xe21ab6cb,
+    0xc0b6c0fb, 0xc0899705, 0xf96edb4f, 0x34fd4a18, 0x17a411b4, 0x25e853c4, 0xf3cf1f8b, 0x3bc7104b,
+    0x67a248b4, 0x11b696de, 0x75dc6002, 0x80ddc48e, 0x36346870, 0xbbd88461, 0xe7974f99, 0xb46f4c8e,
+    0xbd403d6c, 0x8f7b04f3, 0x06e056d6, 0xeaa264a8, 0x6ce8cf42, 0x33679ad7, 0x728fe07e, 0x603ca044,
+    0xb5f25524, 0x861a9d61, 0xb2743c4c, 0xfcaf9cd5, 0x7a8f10c5, 0xa3864d1d, 0x67b72fae, 0xd07d6667,
+    0xf0a6561a, 0x602b1019, 0x6b231284, 0xa040fa08, 0xca47eee6, 0x6005bdf9, 0xc5337bbb, 0xd701746e,
+    0xfe10d4be, 0x12960453, 0x2e09a8f6, 0x8e256414, 0x2df38fb3, 0x6f8e69f2, 0x99ce17f2, 0xd8b9fc87,
+    0xd9bb1ce7, 0xe3c5d01a, 0x69a52323, 0x84c7fba5, 0xe6de5a9d, 0x2ebcd6b9, 0x5b7410e2, 0x45c97616,
+    0x78396ca0, 0x4de60e06, 0xb60fdfd3, 0x9a9e292c, 0x0f82c275, 0xda14b1ff, 0x1a91bc59, 0xbdcc0ab7,
+    0xbc923a4b, 0x7f0ee98a, 0x639c528a, 0x9e92db7a, 0xe0fd2eb2, 0x14b8a64e, 0x851dda34, 0xe867e15c,
+    0xdacb0cf1, 0x28e48523, 0x33edb6c7, 0xad7d7f6d, 0xb7530e89, 0x8f86a594, 0x0825c639, 0x26a15fbb,
+    0x744328b2, 0xd2cb6813, 0xdb64f945, 0xe4502af1, 0xfaa059d2, 0x343dc5ec, 0x9a5f36c0, 0xcdadb95c,
+    0x4b9db385, 0xc6a3b2ae, 0xfa105474, 0x7ad46f3a, 0x59b71afb, 0xff0818cb, 0x256fec95, 0xff6b8ef4,
+    0x9168a52a, 0xc0b4f11f, 0xb7058bf4, 0x1c4144ad, 0x36e3e385, 0x406ede44, 0xa3fae77b, 0xe032dfbb,
+    0xf98f5c18, 0xd8840ef8, 0xed59a766, 0x2226f808, 0xecc2015e, 0x39024e11, 0x8fb3d817, 0x4fc89ee2,
+    0x8997c91a, 0x016649b4, 0x0ffab6fd, 0x4c0e5e24, 0x5e2768b0, 0xcef07d4d, 0x9aad360b, 0xf3205fa4,
+    0xb3cfdc15, 0x3f28e110, 0x43d78ab3, 0xd9cd49e6, 0x6f2ea625, 0x7c367bc1, 0x33c1916a, 0x616dc699,
+    0x29cbf818, 0x446cff1c, 0xea3ab5cb, 0x689d77bf, 0x058d54d4, 0x59719924, 0x75755973, 0xefbc6a40,
+    0xb790ebbf, 0x6d25cd73, 0x970ea3ed, 0x9297b2cc, 0x001a8a68, 0x8264154a, 0x77dc2988, 0xd136db8d,
+    0x63fcae35, 0x8b154414, 0x5618f317, 0x06b6622b, 0xa60d5e4b, 0x1f6b6b60, 0x073cd0d2, 0x19a324bf,
+    0xf1bff379, 0x00bc62d4, 0xd0ff20d4, 0xb1b909f8, 0xf0d02bec, 0xeed9c087, 0x17daaba2, 0x7e84322a,
+    0x767f878b, 0x9aff1f2e, 0x13aa98ed, 0xcfef41c9, 0xda025266, 0x1bf8988d, 0xd22709bb, 0xf22e6099,
+    0x43e2aa86, 0xec637d68, 0x30ec34fc, 0xef46a5c4, 0xe99de1c2, 0x90f3e2e0, 0xda6adeeb, 0x360829e0,
+    0x176061a2, 0x26e4f831, 0x8096725f, 0x5b98f48e, 0x20c90b9e, 0x52ddbe70, 0x06ad4e5d, 0xb8b5df26,
+    0x61c080a2, 0x35205433, 0x9fed4637, 0xdaac923c, 0x3e0f4e1d, 0xaa8457e7, 0xaff641cb, 0x0d972787,
+    0x0ba22351, 0x16a624f5, 0xa70ff44a, 0x0196e3be, 0xbdb11c7b, 0xdeb5726d, 0xa3ef6dc2, 0xfdc80c84,
+    0x11cd78c3, 0x6c5ecfd6, 0x5e078e00, 0xa922101a, 0xd9fd35ae, 0x9fc986b4, 0xca87d743, 0xe149ff9e,
+    0xefa57fb2, 0x6d8d363e, 0xa72076fc, 0x0866853e, 0x172c5c12, 0x78a4e0e6, 0x2f7f4461, 0x2c3e86ee,
+    0x901a7528, 0x5f47f013, 0x070f007b, 0x69eab972, 0x4f5cf62a, 0x3d0685ba, 0x328e0509, 0x2cb20f73,
+    0xed05b1ce, 0xd0c0f346, 0xd487fe0b, 0xa9d5ffb6, 0xe51e279d, 0xb1d32460, 0xdcee7332, 0x81f6ced0,
+    0x1a87edbe, 0x059d0e2a, 0x2207f9fc, 0xa6bddf6c, 0x9ba91e57, 0x09c6c9e5, 0x70925782, 0xd88be013,
+    0x86c83f58, 0xb691528e, 0x56c6694b, 0x951c399f, 0xd1566314, 0x150b5917, 0xc1059f80, 0xf7eae4da,
+    0xcaf15192, 0x934a1c54, 0x5dbad85e, 0x8d8ad541, 0xeba063c5, 0xf9a91e66, 0x3b2daae2, 0xe14e681d,
+    0x2107c40d, 0xfed60e67, 0xe439c001, 0xc9c78417, 0x0ff063ee, 0xb031fa03, 0xef59de78, 0xd8553a5f,
+    0xba27a70b, 0xa53e494d, 0xcbc2f1c6, 0x17124aee, 0x940df65b, 0x4cc79706, 0x4595a772, 0x43f65434,
+    0x8e336150, 0xc216df46, 0x07f090a4, 0x3c2df000, 0xfca9b6bc, 0x126d47c1, 0x97ec3a5b, 0xcb690159,
+    0x173fe9bc, 0xb303dc26, 0xb2e26c26, 0x84b1dfe0, 0xfefdfb28, 0xad028113, 0x787fcde1, 0x15bbc98d,
+    0xf4c32886, 0x73cb0fb4, 0x1dafa1be, 0xacc7b22d, 0xffd047c4, 0x46d1d682, 0xd4125692, 0xeb67fad7,
+    0x58395ba2, 0x39c9483e, 0xaeb540cd, 0x3e7cffb7, 0x9cbe4a2d, 0x393e2a2a, 0xed53b363, 0x54c20db1,
+    0xf38fc3be, 0xae6445d4, 0x37722124, 0x13e1f239, 0x8f65f0cb, 0x6bfb8bce, 0x8006e17e, 0x4fbc265e,
+    0x0539d3a8, 0xf54ea6f2, 0x8d767b6f, 0xbf8c1fc1, 0xc693a588, 0x02ed5e4f, 0x04163365, 0xcb714251,
+    0x867e1410, 0xf84014b4, 0xc83a8e22, 0xb214f91d, 0xceeb22d4, 0x7fe3860a, 0x148af4b3, 0xa4de5434,
+    0x95c09ef9, 0x2956a501, 0x84da88e2, 0xbbf92bc2, 0x368ad241, 0x911688dc, 0x6941a19d, 0xd7f7ca35,
+    0x6eea26cf, 0xcda59b84, 0xa738edd4, 0x18f6e3d4, 0x2334d47c, 0xe4e50ff5, 0x7c7f9e95, 0xa6c55534,
+    0xa1fcfbd8, 0x9f38a8ae, 0x6138a1d5, 0xd2699d38, 0x27ceea7c, 0x5538cfb7, 0xe4189e48, 0x2a35cbff,
+    0xa3d23bd9, 0xe6bb08a6, 0x3713fa40, 0x3a620e2f, 0x8fe8f059, 0x8a1d1b2c, 0x72367602, 0xc98e1e45,
+    0x00000000,
+    0x67f8b165, 0x02b2e52a, 0x0a1af724, 0xb1d685eb, 0x1f125f55, 0x4eea8f9d, 0x833287ef, 0x4173c2ce,
+    0x48db5640, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x40000000,
+    0x00000000 }, /* 10**00000000003902185687894990289226996537241457882185747678331213938573946199531\
+                         71467352470702515038262882936496394978366390175827861930996959911035663286272 */
+  { 0x00000000,
+    0xe524e6d8, 0x5010c4d6, 0x92b7c8f2, 0x4a8e431b, 0x62c83547, 0x91efb914, 0xf5f0ac41, 0xf1f108ca,
+    0x2072c104, 0xd086183b, 0x2d802839, 0x31fdf313, 0x864c1b7c, 0x33ef4e2b, 0x9dbbe882, 0xed1453ca,
+    0xc04213f7, 0xc562c2be, 0xd00596cf, 0x3c5996c0, 0x43e1b6f7, 0x2f64e5e2, 0x002c129b, 0xc781f034,
+    0xc26d227c, 0x1de4ee58, 0xaad9e55a, 0xfd2501d8, 0xa9e4870c, 0xe05a9d99, 0xcbee0ca2, 0x47149ab8,
+    0xfa35f72f, 0xa1f113c9, 0x07798ced, 0x3b3818c7, 0x03d7a4a0, 0x64835e31, 0xca4d88c4, 0x6800ee4f,
+    0x8843dfd6, 0x8640dbce, 0x25da3ce6, 0x451d7d02, 0x36b797d7, 0x25fc287a, 0xe2899a0e, 0x0510dc59,
+    0x8d3063b3, 0x3bd93ac6, 0x5fc01ace, 0x07dcb41d, 0xe087efc3, 0xbc583ca5, 0x49507bbf, 0xba57b86d,
+    0x14cb00a8, 0x91cefb60, 0x79bab219, 0x38265683, 0x9553b627, 0x9f1201b2, 0xd5e8489a, 0x0697f666,
+    0x2677fb29, 0x3543ea32, 0x01164150, 0x299214ac, 0xfb8b9624, 0x4946c627, 0xf6aa0ad7, 0x5ded6276,
+    0xbbb4d1b4, 0xfa0e2c69, 0x4bebc29d, 0xfa052a28, 0xa170d524, 0x2bb529d1, 0x73f27dd8, 0xcbeb3b84,
+    0x8346b9f6, 0xb0d152c2, 0x10e2c6ed, 0x9b9b16fd, 0xfe723f1d, 0xac86ecd2, 0x3dfd30bf, 0xe75dbb08,
+    0x252eea39, 0x761559c3, 0x0322d1dd, 0x86ea5023, 0x98dd95a6, 0xbe1d4d97, 0xd3cf466c, 0x9e6e6e30,
+    0xadefc5d3, 0xfce47448, 0xdce0190a, 0xb58c4af3, 0xf0598eb0, 0x94801e3f, 0xcefd24de, 0x169bfa92,
+    0x3a04d085, 0x75b9c284, 0x38e28331, 0x8c4916e5, 0x66f0470d, 0xa0f81e7e, 0x4f5d950e, 0xf95b0d14,
+    0x2dd16e14, 0x2668459b, 0x8cba3472, 0x264441bb, 0xe7fd01a5, 0x2ce84685, 0x97b89405, 0xc20d5208,
+    0xbdfa74e1, 0xfe5c42b9, 0xedb6961c, 0xa4264632, 0x2e1c6e74, 0x176eb25b, 0x993f9f5b, 0x8bedd9b0,
+    0x12909c82, 0xd30c037f, 0x8d4e2be2, 0xcc44dc38, 0x15eb5ec5, 0xc72f48d6, 0x8dfbfa36, 0xa8e844dd,
+    0xb2c97179, 0x917e0927, 0x5dec4287, 0xc993c1d9, 0x439a053f, 0x974ec94f, 0x6c924967, 0xdfbcebd9,
+    0x3f6c9a48, 0x735fe56d, 0x2fe3d7b7, 0x75d5e8b8, 0x6a2e12c9, 0x06205455, 0x15da3c2c, 0x1c8fc928,
+    0x8a6e7205, 0xc59dc79d, 0xda9e66a3, 0xd90c7697, 0x540ba5e0, 0x7427a5e1, 0x63ad00c8, 0x33b7d086,
+    0x94eada7d, 0xa5d9d7a2, 0x82f4b69e, 0x47ab9115, 0x695e5cd9, 0xcc375b3d, 0x16e0b011, 0x2797a54d,
+    0x501f3c76, 0xbbc7e81a, 0x2e9342df, 0x7c54b2c2, 0xaf1ee8fe, 0x178f9bc4, 0xcd83f503, 0xa080ecdb,
+    0x64b1c470, 0x31e3cd3d, 0xbdaefa87, 0x127fc2a4, 0x451335cd, 0xc7560c79, 0xf4b71d59, 0x9feda3aa,
+    0x51d6ed62, 0x356a0b0e, 0x005eac4d, 0x8138e51b, 0x4daa45fc, 0x6f65e878, 0xe7855742, 0xbe5aebe2,
+    0x444d392e, 0xf79b858f, 0x6d24282b, 0x45700cf4, 0x24a8c682, 0x133a8229, 0x4183e410, 0xd803ab22,
+    0x7bf50540, 0xfa2df173, 0x43f11e02, 0x9f2ab17f, 0x79371436, 0x9b2a374a, 0x96986c76, 0xec7e0dbc,
+    0xf0ee867a, 0x4baa3750, 0x74932867, 0xcd8f693f, 0x4b8296ed, 0x56292ee1, 0x0e692d3f, 0x9adfb3cc,
+    0x51ff946d, 0x24f71310, 0x0856e5a6, 0x28490b45, 0x725ccb03, 0xdda6f2d6, 0x32bd325f, 0x3f8ac645,
+    0x9940596e, 0x40c1f2f5, 0x1027486e, 0x278f75a2, 0x2fe046d3, 0x5ef71ac3, 0xcc61cd76, 0x1a019854,
+    0x90a2fc78, 0xc6bbf094, 0x26fe3aeb, 0x5fc71939, 0x689ac1e8, 0x0700d23d, 0x0d2115ee, 0xd5ff3da3,
+    0x7b30379e, 0x36204cee, 0xb9f0fa8f, 0x7507c65d, 0x7aa8fc1e, 0x707a1464, 0xf7c24ba6, 0x5d011086,
+    0xb83cae93, 0x24f7ab1b, 0xebd9f0e6, 0x1123ca19, 0x4ffff5b3, 0xd8765a09, 0x4c0cc1b7, 0x36d9e354,
+    0x8ff8a000, 0x5f9f0dd3, 0xe5a66b34, 0x3a08c211, 0xa138b692, 0x9307b369, 0x9b0120af, 0x3dd4c8e9,
+    0x85e7e736, 0x940259c0, 0xc494add6, 0x0bb1df6d, 0x6f0aa2da, 0xe894efe8, 0xc83b441b, 0xc236ed64,
+    0xb786f71a, 0x95606b76, 0x5cea9b49, 0xedccb13b, 0x2a1167f1, 0xf06c8267, 0xeea473fe, 0x8d4961f8,
+    0xbe920b40, 0x37d49860, 0xa995780d, 0x85daf404, 0x8ba08639, 0x8b949776, 0xa97334a8, 0x346f8504,
+    0xb569f52d, 0xe662271e, 0x340b40c8, 0x79674c77, 0xdfdf012b, 0xfcbc3c6f, 0x69d70d98, 0xde9f2dbe,
+    0xe647e3c1, 0x69629fbe, 0x9dd1ce9b, 0xc59db4b7, 0xf7117330, 0x77da7a63, 0x62f3b863, 0x1e1262e1,
+    0x776bd632, 0x58b938c5, 0xcb5dc1bf, 0x1d056c67, 0x9e82a783, 0xeee0f7de, 0xba9b02d9, 0xba546b6f,
+    0xaf8cca9b, 0x8034f7ca, 0x0f6e4050, 0x53667657, 0xa4feb89a, 0x269c518d, 0xcef19e90, 0xc20bf89f,
+    0x8626560b, 0x115283fd, 0x2348a133, 0x111804de, 0xc1acd5f9, 0xcfe17e5e, 0x1783ed7d, 0xbf2b7035,
+    0x9a1f4e75, 0x107fd83f, 0x25e79890, 0x24a7ccd9, 0xc980abca, 0x27d8f8f8, 0x6222c2aa, 0x7dcee27d,
+    0x0b37e2c9, 0xb78a59fb, 0x722d3f53, 0xed4e5aa2, 0x7839c79a, 0xc7060b4d, 0x14ee3b6f, 0xfd80446b,
+    0x2ddc5e8d, 0x3adc58fc, 0x46f72d27, 0x7b8025d9, 0x83a3f90a, 0xe885ea1a, 0x867c4496, 0x87edaae5,
+    0xc539094e, 0x51205657, 0xec9d93c8, 0x3173f2a1, 0x40c77122, 0x6581517d, 0xbc5a0d88, 0xd50acaaa,
+    0x7970bbde, 0x864ba203, 0x7ae03929, 0xafb185b1, 0xea48e942, 0x725343cc, 0x3d611f42, 0x117972d6,
+    0x1dd8a2f4, 0xffc0c34c, 0xe1ac957b, 0x646657cb, 0x51ee0002, 0x97114a73, 0x715f9042, 0xda5ebfec,
+    0x25bf6105, 0x526ac5ef, 0xeaf4270d, 0x091ab5ee, 0xfa4c6aca, 0xb9ed172d, 0xb0be602e, 0xa0842981,
+    0x719ef5b5, 0x01b62896, 0x16803426, 0xcc57d551, 0xcd26bc2d, 0x7478dd99, 0x0803b842, 0x57fa2b49,
+    0x8ab05b24, 0xdbf895ae, 0x59b682cc, 0x573bfe4d, 0x4a5757e5, 0xf96d0c72, 0x88824f57, 0xe8f7fbe8,
+    0x0a42fa37, 0xb40cc2ea, 0x3c87eda5, 0xff10056e, 0x18d983e4, 0x6ce42a7f, 0x3f78bba3, 0x6ab44154,
+    0x55186988, 0x2cd63a27, 0x7e300ced, 0x04fd30eb, 0x8ee22a79, 0xc6da4b7e, 0x7babc5b5, 0xf3a85a6d,
+    0x9dcdaa84, 0x74f84e00, 0x5c688c90, 0x1c8a810d, 0x1c3d6684, 0x5a946345, 0xce43658a, 0xdb475f9f,
+    0x81f75dc1, 0xec3ce52a, 0x6de31264, 0x3e619175, 0x5785617a, 0x42881b80, 0xbf80bf47, 0xf02b2c7f,
+    0xffbca554, 0x282a3081, 0xd58daa84, 0x0205d8e3, 0x0ee22512, 0x21e6e2e5, 0x08df23c6, 0x60182b3b,
+    0xc58dc1df, 0x96857c13, 0x1abf0633, 0xec16ef39, 0xaa95c3cc, 0x6eea4238, 0xef1fc46c, 0xdddf0992,
+    0x200a34a5, 0x42f85286, 0x74cc821b, 0x4e7822e5, 0x500b83f7, 0x48f1aed5, 0x7a9b522b, 0x300cb659,
+    0x971805e6, 0xaf12c073, 0x1f47b3f6, 0x29a20179, 0x4f5d7831, 0x682a2e2f, 0xbeef0b28, 0xfd161e8b,
+    0x5fb63b7b, 0x4ee1cb54, 0xa9098a5b, 0x3f1d1794, 0xb695f12d, 0x94492b7f, 0x40367bb2, 0x95e1656c,
+    0x1fa2e212, 0xfcb53f65, 0x1276a48c, 0xcb0defc2, 0x4cff3ea6, 0xd43352f2, 0x51e25f03, 0xda071b6b,
+    0x6d91eb1e, 0xebf52250, 0xee5260cc, 0xf0e1be5e, 0x3614c8c6, 0xcf59942c, 0x4eb02166, 0x05ecde3d,
+    0xf6d6f5c7, 0x20071d16, 0xc3b3e7c1, 0x34e02459, 0xc71dffd5, 0x5e2d6e93, 0x8feb3c8f, 0xf67662f6,
+    0xdf86a2d7, 0x6ebe7e5f, 0xabd56e70, 0xb4dc10d5, 0x6d021d1e, 0xf5328ec6, 0xf7c204dd, 0x01d50975,
+    0x5b040969, 0xc7b8e563, 0x53445c22, 0xd6e6f61a, 0xe81a87a9, 0x711177cc, 0x0bf28312, 0x7c3e5507,
+    0x9c024d51, 0xbbe05c1a, 0x19eab3b9, 0x247e93ec, 0xae568e5a, 0xe14b8011, 0x1d7e4368, 0x6a168d25,
+    0x4af32ae3, 0x55b5d112, 0x1fd0b93b, 0x9e4e878d, 0x39f16637, 0x855ad39b, 0x64e9b997, 0x803050ca,
+    0x7bc75500, 0xc3a434b1, 0x7d131d8e, 0x8350dcdc, 0x52615b22, 0x57f30207, 0x3dc5aab1, 0x9613f433,
+    0x6aaa48df, 0x2f81152e, 0xa2c39186, 0xf46a7835, 0x0df12551, 0xd7d8408c, 0x8d824c72, 0xae4bbc52,
+    0x2731faf2, 0x1dd4065e, 0x86d733d0, 0x0d6c427f, 0x3b039af3, 0x2e61ec28, 0x8e09ba65, 0x2b6a88fb,
+    0x78ed1561, 0x21243f56, 0x82814ccc, 0x038c746b, 0x7ee7b4d8, 0x4aeb952b, 0x586a6b94, 0x916f717a,
+    0xc6b14348, 0x647beaaa, 0xb5758ded, 0xb0afeb92, 0xbf251e17, 0x348f331f, 0x2eb6a2a3, 0x593bd1ee,
+    0x99eed193, 0x85bc2814, 0x84225a28, 0xc9d19447, 0x7fc0df65, 0xca938942, 0xae7abc7f, 0x0e01cb84,
+    0x1956b517, 0x8fcfb086, 0x151ad296, 0xf61e65ed, 0x275692ae, 0x98de87e4, 0x733677fc, 0xb12037c3,
+    0x5e40e539, 0x99332442, 0x614a368b, 0x8dce91dc, 0x7dd66819, 0x4adc4ea4, 0x8dd37404, 0x433ea2c8,
+    0xee890e8b, 0xcab330cf, 0xd8a7f9ac, 0x297ec63c, 0x28148ddd, 0xe726dc64, 0x54230fb1, 0x6ca61aeb,
+    0x0e1313d9, 0x1216d890, 0x00fe3a3a, 0xa7d77673, 0xdf47f2cc, 0x40d89718, 0x91b645b7, 0x46084403,
+    0xd3b0ff09, 0x9cdb52b9, 0x48232db5, 0x2711c8c9, 0x229fec54, 0xa522a60d, 0xac9077b1, 0x06f78af8,
+    0x404f9311, 0x441126b6, 0xad4bb971, 0x92e48ccf, 0x88ebd93d, 0x0e1c175b, 0x00c2166f, 0xd01d2bb1,
+    0xcd7800eb, 0x060c99c1, 0x36a9ea9c, 0xb95c2f68, 0x6c091bc4, 0x2c0d9c6a, 0xe930a316, 0xb1194998,
+    0xea69603e, 0xe28ccd59, 0xf2b16542, 0x255224aa, 0x35d04220, 0x284c2611, 0x6b20b16e, 0xb9c2280c,
+    0x2373c873, 0x0096f2a8, 0xab675b16, 0x59d459e4, 0x998293e6, 0xbc252578, 0x307160b5, 0x5ba988da,
+    0x2dd7f766, 0xfb1240db, 0x2eeaa0ee, 0x9d43838f, 0xecf38fc4, 0x3ee04099, 0x2ae7e106, 0x045ce4f9,
+    0xb3d381c2, 0x09fc9760, 0xa80ccab2, 0xfb5e5fc2, 0xf9c1c255, 0x6fbca4fe, 0x2d6f14a8, 0xb98e4551,
+    0x7c431edf, 0x57e9ccb0, 0xaf9106ae, 0x7dfc557f, 0x7bf32c32, 0xa408d77e, 0xafb41386, 0x8cb8952f,
+    0x53a2e968, 0xa8d6302c, 0xbf618849, 0xc17e9f6b, 0x8c4cc425, 0x4b6590bf, 0xb4752eb0, 0x949f1e5d,
+    0x120c80d2, 0x63e7e6b2, 0x92533125, 0x1056cf72, 0xf6298116, 0x71f5d027, 0x696e7177, 0xf8fe51d3,
+    0xc625934f, 0xc4e8f7da, 0x560bb011, 0x782c0d39, 0xae9dca09, 0x35843a4f, 0xc06f9795, 0x27f254d4,
+    0x254576b4, 0xd2484775, 0x219d5575, 0x7be05ad5, 0x62b1e716, 0x106e762a, 0x6ccce546, 0x78903c97,
+    0xb9243552, 0x92c57568, 0x6be2b4e7, 0x4d5a24d0, 0xf2b4a016, 0xd2328beb, 0x6ef6e328, 0xae5424ed,
+    0x205b2117, 0xd5ae873e, 0xa7d12d6b, 0x9e549b1c, 0x4ee2a4ae, 0xd9770879, 0x7bc4eea1, 0xa1af809b,
+    0x0e820422, 0x5912662a, 0x4cd0b8b6, 0x4487cc17, 0x057304aa, 0x870c7517, 0xc2b24cd2, 0xc0f13502,
+    0xabdac281, 0x4256615a, 0x93d1b99c, 0xbe0598df, 0x36899d66, 0x8d33affe, 0x43f63aa1, 0xbd3c6330,
+    0x1b36b882, 0x6a6934bf, 0x893890ad, 0x71a21c4c, 0x64a4c2f8, 0x11813c07, 0x136c1dc0, 0xbbb7f6e0,
+    0xcb390b2f, 0x9dc0952b, 0x0532e9b1, 0x29198f0f, 0x2995c57e, 0x1a23ff62, 0x97f6292b, 0xdbf4d2be,
+    0x07036db8, 0x88206249, 0x991d7951, 0x2154e132, 0x5cbdaf65, 0x8fc00383, 0x3d6a11bc, 0x747b0233,
+    0x295d0fa0, 0x6cd94aa8, 0x59b9a450, 0xf83a100d, 0xf1ac5a14, 0x76fc0ce7, 0xeb21ab11, 0x6b5841c4,
+    0xa0330632, 0x790345aa, 0xe7e3d7b1, 0xbac5cfdf, 0x27ac1177, 0x72943a01, 0x7a526ce1, 0x2e922cb5,
+    0xd4b54be5, 0xf8289290, 0x2ecc2855, 0x308952df, 0x8c2bda34, 0x56e62d30, 0x68420ce6, 0xecceb251,
+    0x3078999a, 0x36de5513, 0xb3b5be5c, 0xa4c95bc8, 0x325c0cdc, 0xe40ff566, 0x2cb50676, 0x6a4b314b,
+    0x075444d0, 0x79f2aba2, 0x8492f41e, 0x3bbc1082, 0x7fecc960, 0xa1e38e68, 0x1c0c3f76, 0x74142338,
+    0x58a96e94, 0x188981a2, 0x9aed29f0, 0x24312143, 0x8364b716, 0x4849f87c, 0x1ca6e4c6, 0xf7ce342c,
+    0xc6092280, 0xdf064ddb, 0xffec595d, 0x853316da, 0x3278887a, 0xa4d4d32a, 0x8ec90d55, 0xf4010408,
+    0x15d05653, 0xf633fe82, 0x9cb6baf1, 0xb7a53cfa, 0xd9fc55c6, 0xaeec5665, 0x3dfd1566, 0xed405a60,
+    0xefa388a5, 0xc6e9db13, 0x3476097b, 0x11ef0894, 0x7a3e97ff, 0xee7fb2d7, 0x3993c371, 0xca0befc2,
+    0x95d18797, 0x988be8f6, 0x43809338, 0xa365fce9, 0x0619ac59, 0xa824deea, 0xaf58c1bc, 0xf50c44b8,
+    0xaa8b89f3, 0x795a2540, 0xc568b2fc, 0xe12b2ede, 0xab4db5c1, 0x5d9fda3f, 0xd3d20075, 0x9a897579,
+    0x2b3bdcb7, 0xb758b52a, 0xa95bfeb3, 0x376fc938, 0x62a1afdb, 0x01e74213, 0x499a7660, 0x52880ecf,
+    0x211598db, 0x78fa80ac, 0x74ef5ee6, 0xea2936ff, 0x025ff6e6, 0x12182d6a, 0xe2b4f8d0, 0xf852af6d,
+    0x0954e64e, 0xe111a2cc, 0xddabc12d, 0x73a97a2c, 0x2ea20dfb, 0x12bd44e4, 0x2fe35dbc, 0x3b51b344,
+    0x260784e1, 0x1e6fdd0e, 0x4b16269b, 0x44807d78, 0xc553a5ef, 0x601eb15f, 0x0985d5c6, 0xb877dc22,
+    0xc55391a5, 0x817403a1, 0xb4e272e0, 0xe09477f4, 0xd789e01a, 0x19b46eed, 0x9a02aea1, 0x9e1fdad8,
+    0x4a903011, 0x90c859e8, 0xa5d319fc, 0xd4714825, 0xb9313a45, 0xdbf70ad2, 0x71175c4d, 0xe5ac34d0,
+    0x4dee077b, 0xfad706ab, 0xc8b7d397, 0x1c6428fd, 0xda77c7b5, 0xd0096b98, 0x110405cc, 0x63dc59eb,
+    0xff0fa9e3, 0xafc03750, 0x6d9de522, 0x09613f00, 0x2ea29c35, 0xcb3ac5e5, 0x1e6402f7, 0x4f1f7860,
+    0x6af5e9c0, 0xb6a69710, 0xbc09f62c, 0x34bbac19, 0x0e6a9b04, 0xe15b7e68, 0x7f7d2d05, 0x7db22db9,
+    0xa42688ab, 0x0b73bdd1, 0x7336c547, 0x0210a156, 0xf2a785ec, 0xa1176cfa, 0x72cb61e4, 0x5dad3827,
+    0x3102dfe9, 0xab49ce24, 0x2600f9ac, 0x701f1e24, 0x5e7e06b6, 0xaa66e6e4, 0xc12d01a0, 0xdb55f010,
+    0xfa7a03fc, 0x77fa1a8a, 0x4e76d916, 0x512b3a5f, 0x250cb139, 0x05a8f5a4, 0x40d6b75c, 0x7f8cf97d,
+    0xda3d5383, 0xd86e3a07, 0x50976ba8, 0x76fa7e1f, 0x33425d42, 0xa0fea09d, 0xa2568696, 0xcca6f9f8,
+    0xf984c8c4, 0x70bcfd10, 0x0d4cdd54, 0x0889d9d6, 0x3f6b606d, 0x545ad2fb, 0x8ee82afb, 0x3d4955ba,
+    0x90813fbb, 0xc001a532, 0xb676556d, 0x7645064c, 0xa1975065, 0x5a205999, 0x8ba459d8, 0xb1e39ca4,
+    0xc6d0ee2a, 0x158ede49, 0x3ef045b2, 0xc9c08a0e, 0x1bbe1aab, 0xea781aaa, 0xbf2f9db6, 0x3d660f4b,
+    0x686ad7b6, 0xcab551ad, 0x32fd5cfa, 0xd1103c59, 0xe26669fc, 0x49409902, 0xcac2bb72, 0x7122f0b1,
+    0x37ab49e5, 0x5604a828, 0x5c0ec94c, 0x53a30094, 0x847a2797, 0x07584bb2, 0x0dcb144c, 0x6b5769df,
+    0xc1ca6fd6, 0x0b7c4673, 0xafe097d5, 0x50cc689b, 0xa401a7d2, 0xdd4a7e04, 0x1880865e, 0x25f4e877,
+    0xd7c01a08, 0x0f945531, 0xc32c2e93, 0x28f19b49, 0x31741cc1, 0x984a169e, 0xb631fde6, 0xa09ef05d,
+    0x00000000,
+    0x33fc58b2, 0x01597295, 0x850d7b92, 0xd8eb42f5, 0x8f892faa, 0xa77547ce, 0x419943f7, 0x20b9e167,
+    0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x40000000,
+    0x00000000 }, /* 10**00000000001951092843947495144613498268620728941092873839165606969286973099765\
+                         85733676235351257519131441468248197489183195087913930965498479955517831643136 */
+  { 0x00000000,
+    0xa03220ed, 0xe3204771, 0xbc7178b2, 0x8720de52, 0x1d017dd5, 0xf70b32b2, 0x46dcfa0f, 0x0e87d8a5,
+    0x937fa107, 0x2e738d5f, 0x6c1c9b06, 0x1ded4b9f, 0xcdeb2cc0, 0xe86634b5, 0xb9077087, 0xfb0d064e,
+    0xade94378, 0x3753cfde, 0x7ebc43d1, 0x91f0556d, 0xf42b1135, 0x49a06703, 0x5e22a21f, 0x30f45a6b,
+    0xace9dd91, 0x908f3a76, 0xa498a121, 0x005226f0, 0x1b5bc647, 0x250041a8, 0x783f55e0, 0x03840f9f,
+    0x93771c2a, 0xd90a92ef, 0xd8f2c744, 0xd49ebfd3, 0x7e240003, 0x3a61bc77, 0x7657474d, 0xac6ddb44,
+    0x35e9ba2a, 0x59393b09, 0x5931f605, 0x570d7f89, 0x503a3f78, 0x92dcbe05, 0x7d2ce96e, 0x1619cb45,
+    0xc98e46a2, 0xd3545249, 0x28396f59, 0x21fa3a66, 0xfd3c1be4, 0x073c7f21, 0xb5490f7a, 0x28b0b0d8,
+    0x28919094, 0x40094ff5, 0xf8ee3323, 0x6ead8b58, 0x75fd3024, 0x0e637a7a, 0xe9196ff2, 0x625f8813,
+    0xf20564a5, 0xa3f2a186, 0xa689ff25, 0xd502eca4, 0x03c23f34, 0x53ed5b29, 0xe9855b4d, 0xcaeb66bc,
+    0x8068563f, 0xc0e669f4, 0xc9e58ff6, 0x03becf7c, 0x03720861, 0x0d14768c, 0x52cafec3, 0x074f33f8,
+    0xe19de24c, 0xdf794580, 0xd7f34c1a, 0xff2e2a64, 0xae8ff454, 0xa0527078, 0x83226195, 0x8e01b83c,
+    0xc689bb90, 0x616b230a, 0x8bb15e86, 0x777c4a61, 0xabd7a484, 0x8ae72bf3, 0xdc1c4227, 0x6d2e874c,
+    0xb1db92bd, 0xc84b60b4, 0x1b775241, 0xc3316918, 0x4b10e487, 0x3027281b, 0x6918fa5b, 0xe00fee4b,
+    0xdf72229d, 0xf7537b8c, 0x000e6a1b, 0xe5cc7f95, 0x705107f2, 0xac5d2f22, 0xd0905eef, 0x5d18cbdf,
+    0x43630654, 0xb67fe0d9, 0xa96a8ee4, 0x3227e3fc, 0x8b54cd62, 0xafde22fd, 0xe16bd2b4, 0x061569e6,
+    0x5480a490, 0x3fc0ca82, 0x2cc77fe2, 0x622c0344, 0xd9d4cbae, 0xdfc3cb19, 0xa118a168, 0x931692fc,
+    0x28812191, 0xdb9bb1a0, 0xd989cdb6, 0xeb01aec8, 0xd2a5f540, 0xf38f749c, 0xca190b88, 0x1faefe10,
+    0x2dd12aab, 0x1aed4093, 0x9cf5e98d, 0xecc2b8e9, 0xdfde1015, 0x4fae5cb0, 0x29d757ed, 0x4cbf4fc6,
+    0x118117c7, 0x2e93158d, 0x6b062826, 0xfa4c3566, 0x7e0fb967, 0x26c873dc, 0x7ce5a3b6, 0xa1070b47,
+    0x480049a8, 0xe2474721, 0xe2fda248, 0x349cdda0, 0x38261426, 0x0669161e, 0xdef6b00d, 0x94b9eaaf,
+    0x4024270d, 0xa02dcc1f, 0xdde2e5e0, 0xe6cad6e2, 0x8b50c398, 0x67a5eba6, 0x95736f73, 0x39066bb5,
+    0x1f2ba211, 0x44a51d4e, 0x83cdcd21, 0x68eba954, 0x4fd90041, 0x6cc1070f, 0x3a8a7aca, 0x7be7ddad,
+    0x0c2ba448, 0x0b5f7c2b, 0xef20dd0a, 0x17b10c75, 0xb11f0c2a, 0xde0e248b, 0xe9629b57, 0x57da8eeb,
+    0x059e2632, 0x2c28b4c6, 0xa96a9d1b, 0x65897599, 0xd1ba1dcd, 0x3df95c34, 0xd2848455, 0xef0f6c9c,
+    0x23d94109, 0x2a33e7aa, 0xc5fd6ebb, 0x665c41ab, 0xd970c76d, 0x5074d379, 0xf9790927, 0xa149ed46,
+    0xa7005396, 0xb65737cd, 0xd95b6eb1, 0x6d2ae03c, 0xcfbd805c, 0xe176cb51, 0x1e07637c, 0x2075a513,
+    0x508d5374, 0x05b97167, 0x2169e484, 0xbcc6aaee, 0x73e8f389, 0xa0ead595, 0xa0422291, 0xb9d3133e,
+    0x291fdf17, 0xfe6e7d58, 0x9478f678, 0x58061c78, 0x8fe1aa4b, 0xd357fb52, 0x691d8d90, 0x7eeeac4c,
+    0xeaa37fdb, 0xb39548e6, 0x335bafbc, 0x7bc3c9f8, 0xcdd3ccb1, 0xff294d34, 0x4482c69d, 0xa801ce71,
+    0x6ebfad99, 0x5da05bd1, 0x4e8343d6, 0x8a2efb4d, 0xe5facc39, 0xe639a6c2, 0x51dd56cc, 0x63903ae9,
+    0xe09d6a83, 0x8640170e, 0x01cc18b5, 0xc7b16220, 0xd99559fa, 0x150fab72, 0xab4b8236, 0x1a4f3549,
+    0xbf781109, 0x57003dfc, 0xfaf8f17d, 0xfb207cc2, 0x5c91bf4a, 0x2848d145, 0xba2f8cae, 0x58f2efd5,
+    0x176320fc, 0xc71c0a22, 0xd4c6f2d4, 0x49a92862, 0xee03bb57, 0x93039e89, 0x1d2385b8, 0x67a42113,
+    0xb31c31bc, 0xfcb30094, 0x190ebff9, 0x33518bfc, 0x2926897a, 0x0004c1dc, 0x549d91a4, 0x023af992,
+    0x47f3a70e, 0x80b9e92e, 0x621ae764, 0x5a91a56d, 0xd9ba89b3, 0x87468f14, 0xabd9069e, 0xef08b264,
+    0x19b8de6f, 0xbd997595, 0x5f3ebb0e, 0xbcee30ad, 0xbb7407b4, 0xe40625e6, 0x6c1dfeaa, 0x75d16621,
+    0x5e209496, 0xc1408bbb, 0x13d5501c, 0xced811ca, 0xda1a25d4, 0x2e57cd1a, 0xa3bad121, 0x998a1442,
+    0xd8c51bea, 0xd7ad17be, 0x0503b0f6, 0xc99de682, 0xe668c07e, 0x54c941eb, 0x4b1bc022, 0xa6faecf0,
+    0xe2e96b69, 0x81d79b5b, 0x8dc01b54, 0x845ea9ee, 0x66294c38, 0x3d702f0d, 0xdc918374, 0x554a6b5b,
+    0xb94a6fac, 0x14f4aeea, 0x692b74ef, 0x08c3e056, 0x907b76a9, 0xe09bbc56, 0x59ad3746, 0xd1b00baf,
+    0xc1aa5431, 0xaee2ab6f, 0xf183ed3f, 0xd47b1524, 0xed895bcc, 0xbccf63f6, 0xde9511be, 0x31427ee6,
+    0x703782d4, 0xc6b84a01, 0x0a9f0cb9, 0x1ba0469c, 0xc1c1b9d8, 0x197e5128, 0xadc5f65b, 0xb42a444f,
+    0x619ea5ab, 0x420f70ac, 0x7bdceab3, 0xcaba32ce, 0xe7c05198, 0x37fc6ed4, 0xaa2905e8, 0x22c3ca99,
+    0x776d2d28, 0xa985afa6, 0x66687eee, 0x80019bf5, 0xe9c29939, 0x3c6d0da8, 0x35abfd12, 0x72c204f5,
+    0xfc9e9708, 0xd2d393ac, 0x21f34fd0, 0x4839373d, 0xe36ec7c2, 0x1ab5c040, 0xae49e3d1, 0xfd07eb76,
+    0xb2bedfca, 0x9d8707dd, 0xca586a47, 0x835e9961, 0x6164b102, 0xc55d1cd2, 0xa44a3de2, 0xb096bd1d,
+    0x69bd5fb4, 0xa19cf3a3, 0x5037d60d, 0x78039137, 0xa121125a, 0x234a0fd3, 0x967fe2c5, 0xfb7eeddd,
+    0x128d0381, 0x1fb36770, 0x146e3419, 0xf6679a47, 0x8e86ec67, 0x5f7d901d, 0x5e72210e, 0xb1c40f77,
+    0xd9ae4c12, 0x1ce8cd33, 0x090cef6d, 0x7598e4ad, 0x44cc11fc, 0x45f98bd4, 0x12ce8b60, 0xbadb8c92,
+    0xffc0e172, 0xe3fa2817, 0x1970d00a, 0x0310c450, 0x775e8b09, 0x8cb30506, 0x6583b809, 0x6c858615,
+    0x3dd56209, 0x81df89b0, 0xa989a073, 0x5b4e5623, 0x023c003a, 0x1f08ccfc, 0x3a3ff325, 0x6448f1a9,
+    0x547bd2a4, 0x18a3ad65, 0x104a3d89, 0x88e73c15, 0xa0f4fb9d, 0x6d727d54, 0x167a4265, 0xc546b7a6,
+    0x7959203d, 0xf62936d2, 0x0a91c6e3, 0x66ae53b3, 0x45f186c2, 0x21b6208b, 0xaea0398b, 0x8fce8bb5,
+    0xa8ed561c, 0xc084cada, 0xb5e68cb4, 0xa8401720, 0x41e0d80c, 0xd3965d7f, 0x4394c0e8, 0xae3fd0da,
+    0x376a5df9, 0x51216f8c, 0x35f8fe4c, 0xdf500b80, 0x2ddef115, 0xdb2e9dba, 0xb429235d, 0xf75ec81b,
+    0xa9d9dc36, 0x120338a2, 0xda18dfc1, 0xd888c444, 0xe9a9bbfa, 0xb4edf961, 0x1caf3e9f, 0x6afff988,
+    0xe1ba6a26, 0x5155f700, 0x6449cd73, 0x6b2d57a9, 0xff483be4, 0x8a5cd6fe, 0x0cf2a90e, 0x182ed00f,
+    0x03e91cc7, 0x45da6b2e, 0x4d460ef8, 0x27598d68, 0xa2bd94be, 0x1aa3c714, 0x85669697, 0x86923293,
+    0x36b5648e, 0x48e28181, 0x630cf01c, 0x6a5741a9, 0xdec2c22f, 0xcd7ee3ec, 0xaf5e5be1, 0xb2185c70,
+    0xbeac8384, 0xe2203f2d, 0x748fc7f8, 0x96fa5f33, 0xbd4a58d0, 0x7510d0bb, 0x8d5fe757, 0xa2603b52,
+    0xfdcebba1, 0x3b0657d3, 0x86e10a65, 0x88af4f18, 0x96dbbdce, 0x8d5812fd, 0x67282b16, 0x1373cee4,
+    0x8e826d41, 0xd9d8b38b, 0x64ec1b06, 0x6ea8d79f, 0x12710053, 0x7a0773c7, 0x53854d8a, 0x9aca2b98,
+    0x679120ac, 0x6f391213, 0x241ce9bd, 0xb7b8ee69, 0x8aff9b57, 0x6864b86e, 0x9df10af9, 0xa8c77eea,
+    0x0b299a72, 0xad733490, 0xd872ed30, 0xdfe1a4f6, 0xe2339a95, 0x86045615, 0x5a4517a9, 0x60174554,
+    0xf772a19c, 0x00ab9ed5, 0x19daf59d, 0x3c2550fd, 0xefeaeb3b, 0x67df94da, 0x5304e488, 0x29c78784,
+    0xd1122530, 0x8c59c86d, 0x3ad423a7, 0x3612cce8, 0x3cf87726, 0x45d9b009, 0x24f053db, 0x8bcce5eb,
+    0x2a909510, 0x32db09d1, 0xa59ec8c3, 0x7e025599, 0xc5910a0c, 0xfe92e3ea, 0x21c8446e, 0xa305fee5,
+    0x19eecba8, 0x8d5cd815, 0x022f7000, 0xc33cf9cd, 0x414281b6, 0x14cf56b9, 0x29c07e2a, 0xae744fd7,
+    0x243597c8, 0xb65cb0c7, 0x6f0b75be, 0x43923e90, 0xe30600bd, 0xc80e9dfd, 0x6774ddbe, 0xf9d85d14,
+    0xaa47b5b6, 0xa872c94b, 0x26f925fb, 0x09b71d98, 0x4654bb14, 0x2dd98184, 0x44cacfbd, 0xba0549f0,
+    0x25fc8046, 0x5d33b9b6, 0x3a0707c9, 0x575658cd, 0x0e90782b, 0x6aa82a97, 0xb56644c1, 0x71c07db6,
+    0xeafc5a65, 0x8d35cc90, 0xd4716144, 0x9af3e7c4, 0x86e31324, 0x965ea86c, 0x39c51c49, 0xb1fe3b63,
+    0x4ee7ccf1, 0x5bdd10f4, 0x6f47b1c7, 0x2bc129d6, 0x37fdc9a2, 0xe54c527e, 0x46f0e545, 0x0cd8b059,
+    0x92439848, 0x6f0d0412, 0xc62ed59f, 0x64b2ee0c, 0xe8c13c40, 0x12adad75, 0x45c31c07, 0x0018bcca,
+    0x8f90dd7c, 0xa90ec7e0, 0x00b35ac7, 0x48e346c0, 0x87164858, 0x6fc608c8, 0x15db8644, 0xa39ce307,
+    0x459093c2, 0xb641d59e, 0x497ea33b, 0x1eb97a6e, 0x473204c8, 0x867aa83a, 0xe628d8d5, 0x8a2ea09b,
+    0x04940859, 0xe3f895ed, 0xb078f780, 0xca9d6811, 0xbe9563a3, 0x7917def2, 0xec28de6f, 0x438b6ff7,
+    0xc4142419, 0x1aaec4a8, 0xd4080b80, 0x4b04c69e, 0x7e57cbbb, 0x5bfb5462, 0xa1f84349, 0x5450e941,
+    0x8f24c26e, 0x7124d354, 0x0a1e2bb4, 0xc0d6fdaa, 0xba1ef2a0, 0x0ad1f811, 0x9820b50b, 0x25721ba6,
+    0xef89a359, 0x995e3c64, 0xdaeff08f, 0xf984d912, 0x04993815, 0xc5a1147b, 0xf31e26a5, 0x8471cafe,
+    0x91a0fc44, 0x61fadd9d, 0x076d6062, 0x401ae5e4, 0xeff321b9, 0x7f73aa8c, 0xb53119a1, 0x215e372f,
+    0xa002cf08, 0x90ca72ba, 0xca4af4dd, 0x6d7171cf, 0xe9cf35fe, 0xf039b9f7, 0x571ea708, 0x95e2f9fe,
+    0x71423389, 0x6c0a6851, 0xf3255a1f, 0x6e4f5c86, 0x7c9ddc17, 0xf46c2562, 0x44bd00cb, 0x9ba20b3d,
+    0xc9524816, 0x6dee3e1c, 0x69064dd4, 0x087c9bcf, 0xfe4e007c, 0xac7d751c, 0x8dd7e96d, 0xb3b52091,
+    0x84989311, 0x6992fbd7, 0xad9794a3, 0x08c371a3, 0x9a389e7e, 0x2b2c31f8, 0xfeb6e28d, 0x243eb488,
+    0x4e475d0e, 0xe8f468bd, 0x759bf9d2, 0x05462483, 0x6e3f4cbb, 0x69233d45, 0x98cffa8b, 0xfc182aa7,
+    0xdd860a3a, 0x0b4ce110, 0x0588a9b8, 0x23ed1b13, 0xf762d134, 0xd371073b, 0xc8bbc377, 0xa7f24886,
+    0x74c6f980, 0x3181f1a5, 0x8ca04251, 0x9bab4731, 0x165a70e4, 0x12d64b8c, 0x0d1e8fd2, 0x3e7c6793,
+    0xc78fc38f, 0x495f350b, 0xb6d61272, 0x91721270, 0xca14e810, 0x940aba66, 0xafff5086, 0xfeec6b41,
+    0x8b29db14, 0x079d39f2, 0x1103bfb3, 0x6eeaebd6, 0x21cedf4b, 0xcc0982e9, 0xdb36ff00, 0x186ece60,
+    0xeb2115a3, 0x21d0338a, 0x2deccaa8, 0x4cc0b4e3, 0x2a654401, 0xcb3d1bf6, 0x24639ed1, 0x2c715b7f,
+    0xde8498f2, 0x2d545080, 0x28bb6a4c, 0xa3537b58, 0xb2e77ede, 0x5eb38b1a, 0x4e7c3ccd, 0xca5c7bbc,
+    0xb07cf972, 0xe31b72ea, 0x7b36043d, 0x9764e28e, 0x22100e62, 0x9f6644e1, 0x64e6e4f0, 0x43587cef,
+    0x63c8ffcf, 0xe7aeb384, 0xc9b90b6a, 0x761d24df, 0x46172387, 0xae26e64f, 0xe919f9a6, 0x4f885c8d,
+    0x198b0179, 0xc889e80e, 0x5ce0360a, 0xf0f13307, 0x86e20e4e, 0xda92d6b1, 0xb1f26f8c, 0xdc53c1b0,
+    0x3137c679, 0x0c5ab32a, 0x927fbdcc, 0x97447c7a, 0x894b2412, 0x26da33c8, 0xc8fe8057, 0xa0c8b4a6,
+    0xa3323ad0, 0xf77c57d8, 0x6d5167e7, 0x357f1bcc, 0x7a04ef87, 0x0ef26970, 0xefa57f26, 0xa4c0cefb,
+    0x9d60b1b0, 0x23a9256f, 0xc0ee1ed7, 0x1a5faeb8, 0x171cd6a4, 0x998db0b0, 0xf716c1d8, 0xbf36eb8b,
+    0x7a849db1, 0x27ad8ff5, 0xd97d3464, 0xfd5e4289, 0x0c3ec8c3, 0xe47a5f8a, 0xe9e32fb3, 0x3816bc0b,
+    0x405db8ad, 0x824974a4, 0xf183b87d, 0x07d771b1, 0xd1971f56, 0x526f42df, 0xe88275fb, 0x36e6d523,
+    0xac824bfb, 0x1be6b0c6, 0x8803ba7c, 0xe8c0dcbb, 0x891586a7, 0xdb4a07e4, 0x9e96cb3f, 0x57ccf589,
+    0x56a48d0e, 0x06ac20aa, 0xd7aac915, 0xfc10abac, 0x10a1f0d6, 0x274cac14, 0x952ac5aa, 0x6cc0087f,
+    0xf1bc5c70, 0xc7f70966, 0x7966b6a1, 0x697a81dc, 0xb0392d20, 0xdc9eadb7, 0x8f3a773a, 0xfb58b19e,
+    0x4789d14d, 0xc7bfa3bc, 0x3b10ed92, 0xbdff2caf, 0x9e88e92c, 0xfb1fe44f, 0x4af6d34e, 0x8d5aeb55,
+    0xfcf688e9, 0x98913d54, 0xd1a37c34, 0x82c63b29, 0x8c3e177c, 0x68a4e734, 0xca842311, 0x4e259bfe,
+    0x81f12e7a, 0x07f3d734, 0x7c253f2a, 0x89590003, 0x3cb1b58a, 0xae85ed4d, 0xc12edded, 0x5b5d4679,
+    0xc54f7173, 0x214e838b, 0xed495438, 0xf5faeab0, 0x84d15e40, 0x00ea7ced, 0x6443fa5d, 0x8260ba4c,
+    0x76df74e3, 0x29377aa7, 0x0afee698, 0x6821856c, 0x442b1258, 0x42a9f026, 0x309fd6f2, 0x83734b0e,
+    0x50fee4e8, 0x2d890b94, 0xd3cf1a0d, 0x4c0b3e3c, 0xd2baf426, 0x5598e752, 0x6eddd6b3, 0xbc353f73,
+    0xb33f8517, 0xe2a002fd, 0xba144482, 0x90014f73, 0x2a1c5308, 0x23b2267c, 0x79a077f7, 0x87a54fd2,
+    0xbb0e122c, 0xfa475de5, 0x1eec4682, 0x4a00b48c, 0x46c98831, 0xb75dab0e, 0x67ec9f57, 0x5e06c637,
+    0x299cba4a, 0x4430e2c3, 0x350b626a, 0x0fd45d78, 0x71ae719c, 0x445afc1e, 0x102b2ed4, 0xbcfcb117,
+    0x30b82767, 0xdaaf11cc, 0x10660506, 0x31c2237c, 0xde74d392, 0xe2cc4bf5, 0xeb87659d, 0x30e7a705,
+    0xbf1c281a, 0xe6283874, 0x18733e2c, 0x92ef628b, 0x14307460, 0xe2e2f4d3, 0xc4bee299, 0x41eb2475,
+    0xb11f11dc, 0xf8230003, 0xd85e3774, 0xf028754a, 0x818fdb19, 0x5d1d8ccf, 0x0fee1d04, 0xe663798d,
+    0x96a39526, 0x021e8a18, 0x12343a1a, 0xc7839870, 0x05b7df44, 0x50a90640, 0xba5068e1, 0x1ae9b349,
+    0x7f3c13f0, 0x0d78f752, 0x852c0b21, 0x80925d9b, 0xcf61d7b4, 0x7a2467b8, 0x7e80c9ad, 0x8811d56f,
+    0x881020e8, 0x77973270, 0x66dcc0d1, 0x60c81be6, 0x5cae251d, 0x3ce4410d, 0xaad95626, 0x7d125b11,
+    0x8a1aab4c, 0x6d640c01, 0x255cb4d6, 0xeb6516cb, 0xd2d62077, 0x9a6b33ba, 0xbec59eb7, 0xab47829f,
+    0xdedef675, 0xcec18e1a, 0xe661d9f9, 0x74914ded, 0x19964921, 0x14880882, 0xbcd8c6b2, 0x1cd5b5cd,
+    0x69d14cfe, 0xf0416d2e, 0x63ec1ee1, 0x1ddb1a8b, 0x222f601b, 0x9a94bded, 0xe6aff4da, 0x75d29c85,
+    0x07286133, 0x87fd3e01, 0xfe8fdca5, 0xd20ff369, 0x5999b112, 0xedf059cc, 0x5505d06b, 0x388456a2,
+    0xd9d48808, 0xeb603b7a, 0x4da01ee4, 0x55775c86, 0xb5fbc9e3, 0xe69e692a, 0x9796eaaa, 0x5e5bef95,
+    0x4fd6015a, 0x5f342984, 0x2d21ce36, 0x0d0908d6, 0x15181687, 0xf991fd0a, 0x701dcc4f, 0xbbf8ebd8,
+    0x00dbe0f0, 0x4de51c15, 0x21a9ee12, 0x6146a551, 0xa75a3ce4, 0xb07c19f7, 0x10fdbd7e, 0x93dfd1d4,
+    0xbfe355b2, 0x07f39cf8, 0x9aeaf3c1, 0x263fbe1b, 0xbfac33fb, 0xa65e031a, 0x818639c3, 0xcac72e81,
+    0x00000000,
+    0x99fe2c58, 0x00acb94a, 0xc286bdc9, 0x6c75a17a, 0x47c497d5, 0xd3baa3e7, 0xa0cca1fb, 0x105cf0b3,
+    0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x40000000,
+    0x00000000 }, /* 10**00000000000975546421973747572306749134310364470546436919582803484643486549882\
+                         92866838117675628759565720734124098744591597543956965482749239977758915821568 */
+  { 0x00000000,
+    0x15348a51, 0x5cd2b9b3, 0xb3741fe6, 0xbf41621d, 0x5a257071, 0xd4ac04d2, 0x1643531c, 0x92b89c15,
+    0xd91999bb, 0x64709a50, 0xa191033c, 0xceba4930, 0x6dcba3b9, 0x9b519777, 0xca10d176, 0x90bfdf95,
+    0xf0c78949, 0x808e3d3e, 0xb3afa551, 0x3d5c2a4f, 0xf00f0c5d, 0xf0977625, 0x03a9cca7, 0x027b0829,
+    0x3ef08d0a, 0x84592d56, 0x100d2446, 0x22ce3533, 0x7d909047, 0x4c1c736b, 0x82bd8bb0, 0x25b265c0,
+    0x9de2a7dc, 0x68ffa9e4, 0x0c1af475, 0x6f4cb162, 0xd98fc4db, 0x3dc619ec, 0x57b657a2, 0xed9289f5,
+    0xc920a6d2, 0xfa401c9e, 0x99c14f64, 0x61546df6, 0x9c3d5597, 0x9bc6c7fa, 0x64b5ace4, 0x038d3cc7,
+    0x8c925955, 0x3b7b8ce1, 0x9a6133d8, 0x62a1a20d, 0x8c1cf626, 0xc59dff3a, 0xb8608190, 0xcfea547b,
+    0x13cb3db2, 0xb2b8d4c3, 0xb483c6ea, 0x92b9050f, 0x7e104c82, 0x42e844b9, 0xa43e4871, 0x18524c65,
+    0xd036bd8d, 0x141f601b, 0xff4af9bf, 0xe931d138, 0x3c677cfa, 0xf34b1efb, 0xc89c38fc, 0xc8b919ca,
+    0x0d3cf123, 0x50591c26, 0xf57bb8a3, 0x57021d35, 0xd09c0f55, 0xdb1777a8, 0x685a6396, 0x527b5b2e,
+    0xc1a4ecf7, 0x5dec82ea, 0x0c66c110, 0x3f07b8de, 0x99a83a30, 0x3b136092, 0x84231811, 0x2026ab26,
+    0x00d5ba1d, 0xd63b430c, 0x2ef58e55, 0xc73d517e, 0xbcfe3c39, 0x2c266c84, 0x265c1f46, 0x8b69a156,
+    0xa9b49c8d, 0x82cc53c3, 0xc08f23bb, 0xa330bcd1, 0x16e742fe, 0x84eabcc9, 0xe7c2b324, 0xe72b6e94,
+    0xbea2ee98, 0x1693d737, 0x19db2314, 0xdc60728d, 0x67b15c60, 0xfb6f1083, 0x4742b803, 0x49d421f4,
+    0xf80aedc3, 0xad47326c, 0x55cfbb59, 0x221c93be, 0x2ed2a289, 0x1e867dad, 0x1bde7fd3, 0x839743da,
+    0x2b8920fb, 0xeb50ffa2, 0xc0194828, 0x7e16e6d2, 0x45a52089, 0xa534265c, 0x46ea257c, 0xdc704bcd,
+    0x570cf77d, 0x027196c9, 0x761b17f2, 0x7518f19b, 0x3458bb36, 0x020468b3, 0x5fe7780d, 0xb289fc2d,
+    0x8fb2d5e6, 0x314ef28c, 0xde442914, 0x9f36b34b, 0x15970b7e, 0xba4d53ef, 0x50d8e241, 0x13070711,
+    0xc7595822, 0x9b72bda6, 0xed5feec5, 0x6b4fac80, 0x7a06c21f, 0x832fd727, 0x3ada312f, 0xe2f4def4,
+    0x180f53fb, 0x23613a53, 0x97e89a49, 0x371067aa, 0x31675b15, 0x2d5ccec3, 0x59e57b8a, 0x317d7f97,
+    0xaa616e4f, 0x0b86e9e5, 0x9d8a3bab, 0x3d34dfe3, 0xa7f35c03, 0xca6ee69b, 0x7b503ffe, 0x6ab9dd41,
+    0xc80db590, 0x881fd566, 0xb2ddb38c, 0x86bb19f4, 0x7805f2e0, 0x6b778ca7, 0xf34235dc, 0xc6c409a5,
+    0x3e38e4c6, 0xfc0b7cf2, 0x5c2de803, 0x6d1d93fc, 0x98da4321, 0x7fded2eb, 0x551f56be, 0x387d8cb0,
+    0xb828a518, 0xb8637282, 0x9b8ff4ed, 0x1cdfaa4e, 0xcfb73c06, 0x52b71e2d, 0xe3f5b438, 0xf70c4aa7,
+    0x363bc50a, 0x30607a38, 0x1881817d, 0x85484cba, 0x1f7a5700, 0x85c90fe0, 0xed6594d7, 0xa04a9fae,
+    0x91b2ca1c, 0x3ba676ad, 0xdc8ed630, 0x195465dc, 0x50a99b39, 0xb1718b9a, 0xaa652adb, 0x0c8ae367,
+    0x7ce7d9f1, 0x95a1d78c, 0x3b1f1273, 0xa984d48a, 0x149c5e18, 0x73d677f0, 0xaa15ea3d, 0x835d51b7,
+    0x3fe7dbbd, 0xb2ced0bb, 0xbacba379, 0x05045207, 0x6a0c2884, 0xa7af65ac, 0x2b135ebc, 0x43a27459,
+    0x4be90c3d, 0x931cde18, 0x10bfedad, 0x38150198, 0xcabf377e, 0xd9d1ea10, 0x1052fe09, 0xd9312601,
+    0x286abaab, 0x2d1530ed, 0x2a28078d, 0x9066f142, 0xfdeb99ef, 0xeb09d41a, 0xc82ce36a, 0x950542d0,
+    0x09fcee1b, 0x601ea27d, 0xca2203cd, 0xd976e67f, 0xfa3f1097, 0xa81a6554, 0x6482ff05, 0xccb3101c,
+    0xf640fb25, 0xc2461f81, 0xd225dc37, 0x5caf97f8, 0xb307a8f0, 0x49bb567a, 0x05123e70, 0x6ba205a8,
+    0xee01dfab, 0x4a01cced, 0x1df03d11, 0xd03cbe88, 0x18d98ba2, 0x19ddb678, 0x37a48da5, 0x8388a530,
+    0xcf07169d, 0x8b415328, 0x249cbe46, 0x3fce9fed, 0xa146474e, 0xbfe72bc8, 0xadbddada, 0x90b9a47a,
+    0x61e3a92e, 0x596c10ea, 0x3c8cb6cb, 0xa8235f4a, 0xb48e6f6e, 0xd9a4bd77, 0xf4b74a38, 0x0342cdbc,
+    0xa9a297fa, 0x84c07de1, 0xc00f6b2f, 0x7d5dd8eb, 0xfeae215f, 0x591d16d6, 0xddf1918d, 0xeb8c1989,
+    0xf0774aa3, 0x5d2832ee, 0xe5028553, 0xae129d58, 0xf5a604ab, 0x30c50f66, 0xfd889a20, 0x5377b9d1,
+    0x6e4a0fa6, 0x0fbfbb31, 0x292aafed, 0x92588874, 0xc4343fb7, 0x35f860d0, 0x81a965ca, 0x4e47bfd5,
+    0x69e33c25, 0x34576bc7, 0xa8ec3150, 0xe179bfa1, 0x15908e3c, 0x1ed072bb, 0x71758cf6, 0xdb9e094a,
+    0xab514fb0, 0x921d6bce, 0x14a5435f, 0xf51bcff8, 0xb314e95f, 0xc172fed2, 0x7385ef0d, 0x24bead9b,
+    0x44747e46, 0xfcfba023, 0x73b74b5b, 0xcd28f32b, 0x348519db, 0xc3058688, 0x756f1703, 0xc04c96ca,
+    0x73ac0937, 0x405ee3c9, 0x74e8566e, 0x1386b757, 0x46774b1e, 0xd326aa19, 0xef5e551b, 0x7c12332d,
+    0x3793272d, 0xe0c89545, 0xc121ad94, 0xe1ca0289, 0xa6dbe9c1, 0x80fa62fc, 0x204a8e70, 0x76385c28,
+    0xde587d6c, 0x09e06609, 0x306f7293, 0xf45c64e0, 0xd63a09ef, 0x05aa6708, 0xf683ae70, 0xd8dbd38a,
+    0xaa66f22f, 0x4b947e13, 0x6623440d, 0x7a330c95, 0x1d392c8e, 0x3e73a21b, 0x7c893c7d, 0x522678ea,
+    0x3be84c20, 0xae7c08db, 0xcec1164b, 0xa94103e6, 0xea2c1c30, 0x93c37eef, 0x999844e0, 0xe92f2620,
+    0x99a4baa4, 0x6faf4344, 0x13843a72, 0xe98a874b, 0x9c8d11ed, 0x38110d83, 0x9d20a7fe, 0x77bf190a,
+    0xbc0cd016, 0x9413e3ec, 0x4bc75362, 0x64665484, 0x04ee0b73, 0x666ff6df, 0xf5fa98ba, 0x55431a72,
+    0xb128b4f9, 0xd546e853, 0x2d34e50e, 0x8feb5b56, 0x2057079c, 0xa1a2d0ed, 0x1f230c98, 0xaf55903e,
+    0x374fb81e, 0x18469e44, 0xc5b2234f, 0x132ffcb1, 0x73dbbfb7, 0xd1824a9e, 0x96b6dfad, 0x5561ffa9,
+    0x8eba9adc, 0xeb1a78d5, 0xdff1197b, 0x84e59a1d, 0x6d3b9465, 0x16649b9f, 0xe6cbb593, 0x27223067,
+    0x0b38cb57, 0x033702b6, 0x15ffbc39, 0x9be32f7c, 0xa1fe6fc4, 0xaec7d961, 0x54e05f51, 0x148a3e1b,
+    0x372e056f, 0x3f645d27, 0x757b5115, 0xba24289f, 0xac759763, 0xc5be4e8f, 0x96e92fdd, 0xa6dc502c,
+    0xcea22861, 0x809f5515, 0xd7579325, 0x7d534d9d, 0x70891af4, 0x44f7368f, 0x889de560, 0xccab22b6,
+    0x96eb4835, 0x09b639c7, 0x84764570, 0x8d4acda3, 0x46a307f3, 0x19dbce22, 0xa6643014, 0xeed3c190,
+    0x73c2777f, 0x995eab58, 0xe108a257, 0xe276aeee, 0x571286f6, 0x9ed574de, 0xc6a66c33, 0x12c8852d,
+    0x86e8a158, 0xa9b1b23a, 0x62f9ca85, 0x65e64bc3, 0x2ab6f832, 0xec5f8c46, 0xfe27bfb3, 0x16709617,
+    0x2a04a43b, 0x26876b5c, 0x17a6d459, 0xc170eeec, 0xacb697a1, 0x02738741, 0x7bb6696a, 0xca32209a,
+    0x0e6367be, 0x427309c5, 0x20b221d4, 0x8145b1a8, 0x199e7674, 0x853d9080, 0x831350fe, 0xee30d5ca,
+    0xa9bf2d94, 0x0804f52c, 0x4a106589, 0x32d01574, 0x91c0effc, 0xc12a0da9, 0xd2edcbbd, 0xb6ab48fa,
+    0xaec1bc94, 0x150024c8, 0x8cc52ea0, 0x3f70a703, 0x9e0620ca, 0xb2240e56, 0x95f630b8, 0x30b505ce,
+    0xe8194332, 0xe94cee58, 0xa8ea020a, 0x69b6c8bd, 0x0317a6f0, 0x81e57862, 0x43281973, 0x1e483544,
+    0x2af15c65, 0xbd0a69fe, 0x79bc1ebd, 0x5591d26f, 0xa8cbab22, 0x1d45971c, 0xa2775528, 0x1da39b00,
+    0xd4071e86, 0x5b624301, 0x7dfcf37f, 0x0aaa5a88, 0x65dbfd94, 0x84a761c2, 0x11f638e0, 0xb6919515,
+    0xdd26ba84, 0x309bb250, 0xde94841f, 0x1ac116c3, 0x81ddda66, 0x71e6ca14, 0x41887bb5, 0x56c898a0,
+    0x06d0d15f, 0x302b543d, 0x79a1f43d, 0x0337375d, 0x930d815d, 0x38b32231, 0xacb92f80, 0xf0322ead,
+    0xfdea88f8, 0x206ed6b7, 0xcb83c307, 0xbd8ae12b, 0x550cc20b, 0xf9038359, 0x6080c711, 0x26d26091,
+    0x480f61d0, 0x7884a165, 0x0fb6b697, 0xff2eb88e, 0x04963056, 0x96c93f1b, 0xa0e7adbf, 0x03d22b6c,
+    0x455a986d, 0x558ca73a, 0x835a0daa, 0x750d1d3d, 0xd9387b89, 0x1622b92f, 0x32772768, 0xd6fc88a6,
+    0x4630d226, 0xfe60ce4a, 0xfb4a1ac9, 0x30d285c4, 0x173f5a7e, 0xa162879a, 0x48dd396d, 0x9d1ae853,
+    0xf88b8dda, 0x8a32f45b, 0x6e4c6618, 0x81d86220, 0x6bfec1b0, 0xe5f5b90c, 0x8893f0da, 0x1a291dce,
+    0x87fc12bb, 0xf3bbe48b, 0x985f486a, 0xc7016d2d, 0x77c9f3ee, 0x934123b0, 0x38f4bcbb, 0xb07f8352,
+    0x86094086, 0x48376d3d, 0xdfa88f94, 0xa82574ff, 0x41ccd81b, 0xdde9fdbe, 0x8b2c6a36, 0x2a60d7d2,
+    0x811c21d6, 0x1551de8a, 0x8a95bc0f, 0xb2d0d041, 0x8998fcb6, 0xb21617f3, 0x1cbea7d0, 0x10552e1d,
+    0xafe42fbd, 0x50ed83f5, 0x5ed3d2d9, 0x20abfd1d, 0x7d20fe31, 0x79f0ed6c, 0xedbab996, 0xd293ca1e,
+    0x21e419c1, 0xb75f0a5a, 0xec5b3924, 0x9abbfdd4, 0xd190a347, 0xb9bc86f1, 0xf2e0b183, 0xaf4e4ad6,
+    0xdbeaa835, 0x0511a717, 0x234f5a6e, 0x48985386, 0x12d026ac, 0x8f2e4577, 0x73647210, 0x405cf832,
+    0xe382147e, 0x5897a4a2, 0x3bca1090, 0x760aead7, 0xd6f61b06, 0xb07b4bcd, 0x04471bd1, 0x3c754280,
+    0xae5e625c, 0xc01ab747, 0x47d0ff2e, 0x3b9b8756, 0x39688374, 0xb12d6143, 0x1c46c1bf, 0x6fc2dfa1,
+    0x11a276ed, 0x1ad99830, 0xb17d4c3c, 0x239740ef, 0x7eecea64, 0xccbc195b, 0x6bb81741, 0x9df9aed1,
+    0xee19ea6e, 0xe8702b40, 0xa009f1c3, 0x25e49034, 0x7421f839, 0x48f21b05, 0x358ed0f5, 0x0ee97a73,
+    0xec586f0c, 0xdd2b88b7, 0x1a04a246, 0x4793524a, 0x49c852cb, 0xab471869, 0xc285f5a9, 0x8e0a076f,
+    0xd43077e2, 0x3e65a79f, 0x78bdc52c, 0x7ece6b6e, 0x3a9d4110, 0xc2943145, 0xb5241a6a, 0x722f0026,
+    0xd53587f1, 0xd82cf98e, 0x2a37fb82, 0xed3ba061, 0x7c3f2046, 0xc88a7bf3, 0xd54f2797, 0xc8e53836,
+    0x0ff4fe60, 0x5b239d17, 0xe6a23127, 0xf9e81f38, 0x7ff7913c, 0x812fac07, 0xe63ebe4f, 0x70ab95c9,
+    0xec562ee8, 0x74526d03, 0xeffe337e, 0x4831189f, 0x5b98fe12, 0x591f0a75, 0x55f87f69, 0x45e0627a,
+    0x9918c770, 0xbbb68a96, 0xb44afdd3, 0x5e6e75fa, 0xb6c11b6d, 0x3125818b, 0xcd5b991e, 0x70da0864,
+    0x686caae0, 0x6b376ab3, 0x47db0cbe, 0x1d94c827, 0xaae81102, 0xa767047e, 0x85f38a3a, 0xf5b3e23e,
+    0xf436b01e, 0x27486c70, 0xb11ea03e, 0xd9152707, 0x7c066ded, 0x76cf2fe9, 0xa2f61a89, 0x32b65cc9,
+    0x39677316, 0x7e5cdcca, 0xecf78f67, 0x07fc38da, 0x70046361, 0x48e17760, 0x737c2fcc, 0x2280c82b,
+    0x6f664430, 0x0a20472c, 0x09e89cde, 0x84b85999, 0x0b8bf5a8, 0x84ebdfd2, 0xaaf64108, 0xa72c2385,
+    0x9685e625, 0xa3103c51, 0x5b9c891c, 0x036774ad, 0x80410a41, 0x075aad31, 0xc3b17896, 0xae79875f,
+    0xb5ffc202, 0xa4529f4a, 0xd79f2083, 0xf381e60a, 0xfda43a8d, 0x409df9a8, 0x56ce9d7c, 0xcac17f5a,
+    0x99ddf4b4, 0x92edfee9, 0x38c32275, 0x1041980d, 0x43a92996, 0x55b0435f, 0x5c0b4a8c, 0xf4d64bd6,
+    0x0adcd6b7, 0xcd61ba5f, 0x4733034b, 0x3acebc25, 0x27e26019, 0x9faa8048, 0x1aa61789, 0xa2e3572d,
+    0x05d61484, 0xe0c8ce9a, 0xf34a79bf, 0xa7ea6942, 0x13dec983, 0x18916647, 0x7459c8b4, 0x98b1bd0e,
+    0xc9cb1204, 0x8c0ff482, 0xb2aaced1, 0x65a7a888, 0x00291057, 0x7c93ec91, 0x2263e315, 0xfde55475,
+    0x3746a82a, 0x3c77cad8, 0xd3acf8c9, 0x8b9d22b7, 0xac15b964, 0xd6f0eb61, 0x147a9619, 0xabc368f2,
+    0x0a215b89, 0x7ee73664, 0x06798939, 0x4fb02c70, 0xcdb3500a, 0x4537eba3, 0x47c59d75, 0xf36fa79f,
+    0x4aa0cf58, 0xdc086938, 0x739c6b85, 0xd9a6fc7b, 0xf3dcefbc, 0x55c1ef00, 0xf67b6e8e, 0xe1242aa3,
+    0x98ca2ead, 0xd4935235, 0xaf721608, 0x7ba8035c, 0x3c535e3e, 0x32186cc2, 0x69831408, 0xa6290e27,
+    0x86c804d5, 0x42228561, 0x08338d73, 0x89934349, 0xa89a0b50, 0x6d2b1e13, 0xafb3d66c, 0x9e9503c2,
+    0xc4615550, 0xd9d1c115, 0xd6bad6b6, 0xdf1cd58f, 0x54c1fdc0, 0xf560177c, 0x1e9306f5, 0xc7f70b96,
+    0x4f2098fa, 0x5f41ff30, 0x59b6e89d, 0xd4195de6, 0xe4c13dfd, 0x2c7ae0c7, 0x34520362, 0x1736af4c,
+    0x0b5b7c4d, 0x4cbf18dd, 0x5c99f2d1, 0xce13f39d, 0xb32dda1b, 0x9e052df0, 0xb14ff9ba, 0x4077fa51,
+    0x4fff86c9, 0x4345282e, 0x72eb11df, 0xe1618864, 0xec03c0e1, 0xac1fc6b6, 0xdc4cc7a6, 0x7101d58c,
+    0x609daaff, 0x749bd330, 0x75c4ac1e, 0xcdbbd58b, 0x318b0cd1, 0x71fa0c07, 0xdd41132f, 0xbfccfca8,
+    0x6be93728, 0x146479b3, 0xae8602fa, 0x7fa2ab5d, 0x14f027d9, 0x1b37e2a1, 0x7dda7049, 0x452d5511,
+    0x23676b06, 0xc1d3da60, 0x590006d5, 0xc1d6c355, 0xa4a21c37, 0x51588477, 0x77bd2e30, 0x42d984d9,
+    0x9469ef2b, 0x977fe2e9, 0x191b2a2a, 0x5b38a677, 0xfdb5d513, 0x75497f03, 0xa977100a, 0xec399e4b,
+    0x52114142, 0xd7180218, 0x2a701ae2, 0xf0d22492, 0xbf993f85, 0x056d0abb, 0xa528da69, 0xfb45480c,
+    0xa0bd69f0, 0x36285d2a, 0x1c554ad6, 0x3dfa036c, 0x44b548ef, 0xb189788a, 0x4b8fdb61, 0x9607f29a,
+    0xaa1a50f8, 0x1096d415, 0xd9291990, 0xbaf2502d, 0x2e732c7b, 0x52c1f002, 0xd509b384, 0x6025af13,
+    0x46597a06, 0x643f409e, 0x265c48f6, 0x8bc7f855, 0x6b9201f1, 0xb846cfe7, 0x9ba46e7c, 0x18857440,
+    0x60b8cb5b, 0x0d269476, 0xb9931021, 0xd8506e72, 0xc2df5449, 0xeb27182f, 0x6ee9379d, 0x03011ed6,
+    0x2116d47a, 0x7afc2813, 0x6eb19536, 0x8cdb2045, 0x1fc4f48d, 0x3163d77f, 0x827716c6, 0xba63c04b,
+    0x0f2c4431, 0x86c1dd0d, 0x636b450a, 0xd905730f, 0x121bf364, 0xea5ee0a8, 0x4f8d65c7, 0xb0862705,
+    0x08ece7d5, 0x7f5670d3, 0x4bd21cae, 0xe0fd3fe9, 0x96436797, 0xf178ca1c, 0xe7f3e4c0, 0x1b868ad0,
+    0x7a7109b7, 0x39c5780c, 0x046b502b, 0xbdc26710, 0x6ac2e359, 0x7e4428a1, 0x2e09e254, 0x4e11f851,
+    0xdb357a25, 0xebe146e7, 0xa4bf6d9f, 0x305afc2c, 0x267ffed4, 0x5b334bee, 0x1eb2c4b6, 0x1c7d87e8,
+    0x658b2a58, 0x93cc513a, 0x73a9ff4f, 0x28bfa0b8, 0x978c6a19, 0x90598c1f, 0xfcc707a4, 0x32f48c38,
+    0xf64ad1d9, 0x76225725, 0xf8e89251, 0xb3ead9b6, 0x55bdab12, 0x7b1a697a, 0x3f74a2ef, 0x96c9debf,
+    0xa3f7e6e3, 0xe3f34341, 0x4f7a1ab5, 0x8e4c7b60, 0x080df07f, 0x62a2b4cc, 0xe20be229, 0xf2f044d7,
+    0xb4c544b8, 0x150c5395, 0xae891ff3, 0xec00c605, 0xe7d0b5b0, 0xd31d08c5, 0xd38b1fbe, 0x5efc9b13,
+    0x2e8f98bd, 0x43748fc9, 0x5bdb1e1f, 0xabb542c9, 0x6151301c, 0x7d737b00, 0x985df52c, 0xed633986,
+    0x09edb383, 0xf4bfccae, 0x6a8307fc, 0x8aacc855, 0xde1b322f, 0xb9894c7e, 0xaa2ed0aa, 0xe3d71aee,
+    0x00000000,
+    0x4cff162b, 0x80565ca5, 0x61435ee4, 0xb63ad0bd, 0xa3e24bea, 0xe9dd51f3, 0xd06650fd, 0x082e7859,
+    0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x40000000,
+    0x00000000 }, /* 10**00000000000487773210986873786153374567155182235273218459791401742321743274941\
+                         46433419058837814379782860367062049372295798771978482741374619988879457910784 */
+  { 0x00000000,
+    0x6bb7b80e, 0x65901668, 0x2a0b4881, 0xf0719789, 0x22370090, 0xcf76c197, 0xcb9f72e8, 0xe0aedbfe,
+    0x0dea7886, 0x9d600808, 0xbcf41ca6, 0x232633e5, 0x1a5eb5f8, 0xb6e495ab, 0x048f2ae7, 0xb4c9f47b,
+    0x4f81f454, 0xd1b95f43, 0x1c2c0518, 0xea67d98e, 0x4dfa168d, 0xe4ef4184, 0xee037bd1, 0x4f1b2613,
+    0xa80d87a3, 0x28ed1eba, 0xe7d063ac, 0xa28407ba, 0xb125e74c, 0xc40bfb3c, 0x01aff399, 0x4452f124,
+    0xe86414b8, 0x8da52665, 0x11ef9d27, 0x80bb40d9, 0x6acd8dbb, 0x10b0eedb, 0x0bc90f5b, 0x3989ff0e,
+    0x9919d664, 0x62bdf3a6, 0xeb6ca81c, 0xd43d38e9, 0xb2395129, 0x116365c9, 0x428c0cab, 0x1772fced,
+    0x4f5ea9fb, 0x7ca8d604, 0x0c9d8baf, 0x0397a089, 0x70e9a065, 0xba4104bf, 0x4ea54567, 0x3a19edad,
+    0x3dc2f86c, 0x9a1dbb52, 0xc9a8e106, 0x08e364f3, 0xd07031f6, 0x39520b4f, 0x16d18a47, 0x6e578815,
+    0xd2a030ff, 0x52b7c545, 0x10cd0c12, 0x3aff1dc4, 0x4f751ae4, 0x4cb6a793, 0x4251c3da, 0x619a7300,
+    0x9458a5f6, 0xb5c0d636, 0x52c5ad3e, 0x101eb9c0, 0x4da5162e, 0x190db9b8, 0x14f73f16, 0x4594cff1,
+    0x3445ed5b, 0x7885e676, 0xaea93dba, 0x68784a1f, 0x417f77bf, 0x515b98f5, 0x5615e0d4, 0xb506ef47,
+    0xa312a6c9, 0xe6a4f294, 0x515ff2b6, 0x86e167b0, 0x132a373b, 0x4ad4dd50, 0xa3d543bd, 0x346b760d,
+    0xe2f26920, 0xc5b7507b, 0x81b978f1, 0x42c99ebc, 0x0bad0f00, 0x747e79a9, 0x264191e8, 0x35f2bc9a,
+    0x258e6343, 0x55cae24f, 0x5692070c, 0x127e6b4e, 0x17be8837, 0x3c7cd57e, 0x7f54444a, 0x2a0cdf9d,
+    0x6158a975, 0x73fe14bd, 0xb058fc57, 0xd102aa46, 0x622e4e4a, 0xdca33c03, 0x5ab59b27, 0xe85ae2e4,
+    0x4d726537, 0x41745c87, 0xe7a2cc39, 0xe3839148, 0x07ded08d, 0x68989460, 0xd9c0ff51, 0x4cae2f67,
+    0xb0caf341, 0xa97ba79b, 0x0807b9ab, 0xe52372b7, 0xa9c76be8, 0x77c01ac1, 0xdbc67ee5, 0x9e8fddad,
+    0x52454ffb, 0xabfbe5da, 0xcce62780, 0xa7a56cad, 0x5a59947c, 0x52ce6bc1, 0x35952777, 0x7f981aae,
+    0xa26e3c16, 0xe08677a8, 0x890b8554, 0xdb8ce007, 0x305b5c0b, 0x66c997ff, 0xfa01cafa, 0x70f58386,
+    0xd87105e7, 0xfc8de163, 0x47bfe423, 0x494771cc, 0x163d0651, 0x34ba4df7, 0xab907675, 0x2a62941a,
+    0x08d16051, 0x30a28388, 0x1ce0e0e2, 0xf6cf4fb0, 0x518093ec, 0xe00c456c, 0xfd0b2a15, 0x3f7c971e,
+    0xa77f2822, 0xcc7f82fa, 0x81c7a68a, 0xa40b9c69, 0xc7ab0c65, 0x9563809c, 0x8e867cf6, 0x4c489b6a,
+    0x98180676, 0x6b021d86, 0x54c794a7, 0x8f66b706, 0x1389f367, 0xc670157f, 0xac39477b, 0xe87ae92e,
+    0x9d37572c, 0xac85a9e0, 0xfd6ec74e, 0xf1017282, 0x36394755, 0x163270fc, 0x24e1f601, 0xa7b49db2,
+    0x8aac5566, 0x04ba4a62, 0xa6134093, 0x32f06979, 0x4e2b63d0, 0x4866de11, 0x77ed70d8, 0x968750c3,
+    0xbdf51d87, 0xb20b8164, 0x9f2eeaf1, 0xb60c7dbe, 0xe5df8c10, 0xa72a1d9b, 0xb5b3dc66, 0x745c014e,
+    0xaeda9792, 0xc479150c, 0x286e0f81, 0x6be3e706, 0xcd52ce93, 0xa9722b76, 0x79926840, 0x927a9265,
+    0x131e6012, 0xbed1f2ad, 0xa2225f30, 0x19d4ab40, 0x3e47f645, 0x5eb2386a, 0xc8ff6978, 0x56291071,
+    0x8aefe006, 0x38e5c27a, 0xe61339d2, 0x142b82c3, 0xd6b3f90b, 0x5adee63a, 0xca6657bf, 0x920ea945,
+    0xb3ec0081, 0xd8e3c9da, 0xacfa4198, 0xe0fe9c35, 0x04140742, 0x0da9bd33, 0x3bfc65d2, 0x0921e358,
+    0x83a0d745, 0x7320e157, 0x1962ecc6, 0x384ce957, 0x2e9d6697, 0xd80ce655, 0xf93d94d1, 0xae75b7f9,
+    0xff23a6ef, 0x271e148b, 0x0d6e346d, 0x591d8ad4, 0x15b2a2dc, 0xd23e7a27, 0x62d6c149, 0x6c9cc23e,
+    0xf9333a3c, 0x9cb2185b, 0xb41b1788, 0xbbc739ad, 0xad157cf5, 0xea6fe383, 0x40e9fcd1, 0xccdc45c6,
+    0x075de13d, 0xfa814e76, 0x66319db7, 0x217a2746, 0xca72b707, 0x1c125a0d, 0x09deedb1, 0xa6fc745a,
+    0x5b8cd0ea, 0xcac94be1, 0x1de2f82e, 0xe52c10e8, 0x4762e547, 0x51a4c4eb, 0x8a776162, 0x138640ec,
+    0x8c9c5018, 0xa1cd1892, 0xc7d378d6, 0xf7dfc487, 0xe2fa6957, 0x7c8dbbbc, 0x8509bc38, 0x0b5c8a24,
+    0xd6ce2258, 0x769fd144, 0x60f5119c, 0xf6f3ff31, 0x9216c01f, 0x28b57101, 0x119bfb76, 0xf90548ab,
+    0x302512b3, 0xf76639a1, 0xa0b36450, 0x18c23bae, 0x27aac818, 0xcea3ce3d, 0xa829e74b, 0x5fe438fd,
+    0xa13be4ee, 0x95b53a31, 0x1047a1cd, 0x961f6201, 0x1a54a37c, 0xed46336a, 0xcb510d5b, 0xe7748812,
+    0xd44b7f24, 0x1121f9cd, 0x96f2852a, 0x6d53b4b6, 0x495d0eb1, 0x680ec723, 0x5608c346, 0x338410f6,
+    0x0bd4f347, 0xc8424af4, 0xcbbf49f8, 0x685758b3, 0x96c7fad8, 0x6156afb1, 0x534ae348, 0x2b558d0a,
+    0x9ee4cb5e, 0x03e061ed, 0x78da0864, 0x6f110c98, 0x11de9aeb, 0x375085c5, 0x7e83aecc, 0xe911e74d,
+    0xd1a1e8ea, 0x8062298b, 0x9fa6ae8e, 0xeafd321e, 0x3646650e, 0xb63ddf2b, 0xca3ea93e, 0x4988f2c3,
+    0x1ade8ff2, 0x8f07d94c, 0x42a6791d, 0x24412d01, 0xea89fc8f, 0x1653c5a1, 0x7b340c4c, 0x965dd5d4,
+    0xfa2fc673, 0xf1d46477, 0x6f3b9aaf, 0x4e06cb24, 0xf36eff91, 0xbbc318e9, 0x3dc2e2e2, 0x2ae93b18,
+    0x4141b037, 0xacd8cd5c, 0xe4c41157, 0x7f778d5f, 0x2c4e2d27, 0x4e839718, 0x353ba567, 0x2d0d3ef0,
+    0x913d1b2b, 0x36b873b8, 0x626c669c, 0x34b1a87c, 0xd94bcf9d, 0x185518c6, 0xe175f48c, 0x1258e44f,
+    0x1e4d3a96, 0x155ae099, 0x33c8fb52, 0x9071594c, 0xcf7dd1d4, 0xdf30377c, 0xdcadf34f, 0xfb021561,
+    0x615a8507, 0xa74384fd, 0x576505d7, 0x498440ec, 0xc836aed7, 0x55e17d43, 0x03eac2ce, 0xdb2bea7e,
+    0xba2b21db, 0x39c26902, 0x9ce4a755, 0xa0ca84d4, 0xa0005da6, 0x6d025ce3, 0xc1b93d9f, 0x413fd736,
+    0x30d041ff, 0x105e0f8a, 0xb14b7590, 0x7363df4c, 0xc17d9106, 0x3776422d, 0xd73974e4, 0x71b078f6,
+    0x3e44a623, 0x343d1de6, 0x8afd2370, 0x8b72756b, 0xaac63080, 0x284d6aad, 0x0da59651, 0x63403cf3,
+    0x004f74c8, 0x54be10d6, 0x92ab76c5, 0xdf205c07, 0xb82f449c, 0x49f5ec3c, 0x4a9fe427, 0x6bd524c9,
+    0x671fc08a, 0x984c4572, 0xeb62fe58, 0x7795cf11, 0x13280468, 0x3ad4ac79, 0x99aa420e, 0x2a58263d,
+    0xc6480b6f, 0x3c20cd28, 0xbc0e9163, 0x69b1feff, 0xca95e952, 0x05e62cd2, 0x879a3e85, 0xceb08925,
+    0xf5fc065e, 0xfde07719, 0xce39d3fe, 0x5559b09c, 0x3b8023c3, 0x71f0a3db, 0x52ac96a5, 0x1b48a2d1,
+    0x903e2121, 0xa59693ca, 0xfbfbae3c, 0xec0c8e0f, 0xae7f16be, 0xb18c8cd2, 0xfdb11554, 0x250822b3,
+    0x362e1c75, 0xbda79a70, 0xdfa39736, 0xe25ae965, 0xe8b0fdfe, 0x447dae6c, 0x5b123bcf, 0xf5b28ae4,
+    0x1694256f, 0x5937ff00, 0xc4a789f3, 0xb97c1ec9, 0x9f1e41de, 0x6b53b5cd, 0x5fd0766b, 0x402853a9,
+    0x55bc0b31, 0x8020e7ba, 0x7bc6992f, 0x500fa93c, 0x65fa8b95, 0xf465672b, 0xe5d78cc6, 0x1ba84269,
+    0xe3c6a75b, 0x0e7206da, 0x01893e34, 0xac23fcde, 0x872a0c75, 0xf9d72af1, 0x29ef6b46, 0x1700b9b1,
+    0x1e744122, 0x4e30a29c, 0x913cfa19, 0x96344bf4, 0xeddad675, 0x38fc4b04, 0x3a4de667, 0xd06ff5fa,
+    0x4f1f8fcd, 0x4d2ae222, 0x4b60cf71, 0xef143641, 0xba8370be, 0x8abd866e, 0x31b02abb, 0x0feb575c,
+    0xfebba53c, 0x05d59b6c, 0x7bad0779, 0x7eaa3111, 0xd21586cb, 0x88cd54cf, 0xc2f96537, 0x903353a5,
+    0xb56c60ae, 0x28965b0e, 0x9e31b060, 0x575bd4ac, 0xc81d7bbc, 0x03924937, 0xc7f006a5, 0x76184175,
+    0xa132a080, 0xaa8836ec, 0xb8c4b26e, 0xc729c01f, 0xc62196d6, 0x06e573e4, 0x3e95e7a3, 0x5345c8fb,
+    0xf216d64e, 0xdc521f43, 0xf246af8d, 0xbeaef496, 0x1bbabd97, 0x7c6d0dd1, 0x57a7822e, 0x6dd75030,
+    0x9d351700, 0x641d8cfc, 0xa50df3fb, 0x281e040d, 0x6bba1542, 0xcbe27dbb, 0x4b218934, 0xcc474cf9,
+    0x4b0e4595, 0xe46906db, 0xbd4f8a75, 0x42974cfb, 0xe51a5e46, 0xe982fa10, 0xc872afee, 0x40fe06e1,
+    0x84a4173c, 0x4ce1bd4e, 0x6418ec73, 0x7b02e7ff, 0xbb03e858, 0xca00ef08, 0xd75436f6, 0x554b289b,
+    0x12d1ffa8, 0x81708f7d, 0xceee6aa2, 0x368a8b1d, 0xaba6ef0f, 0xa3f818b9, 0x84a62016, 0x65a503d5,
+    0x7aadf1e7, 0xc2ff4ca7, 0x27fb4533, 0xf3ee80c9, 0x97c1200e, 0xe41b8db8, 0x30b88302, 0x1e808d1c,
+    0xae660c1d, 0x355d2c73, 0x7302bfbd, 0x52f240f6, 0x38042342, 0xc3ea99db, 0xd4f684a8, 0x6771ac28,
+    0xc3a3ceb0, 0x1b5e6590, 0x0e84a6db, 0xc52f0d2e, 0xb2a3ec59, 0x91e543b1, 0xfe7a2743, 0x1e8a0e40,
+    0x96e58f31, 0x1ad06533, 0x6f9745c2, 0xcdf1b075, 0x0d502213, 0xa92afca3, 0xa6db23b0, 0xf3bed51b,
+    0x3a5a9257, 0xd18e61ce, 0xbdb8f4f2, 0xb6771d02, 0x09b7f938, 0x3d351bec, 0x268d77fb, 0x5c5ad71a,
+    0xcabe5bde, 0xcd116881, 0xad1d1eac, 0xdbbbb3ac, 0x0cce9062, 0x94c0a5b7, 0x5c04871e, 0x4e7ea26d,
+    0xf602a9f3, 0x3254b5c9, 0xcd0c3fca, 0xeb2674f0, 0xd49e6fbd, 0xeb8f983e, 0xb9816abf, 0xcf141eb8,
+    0x2732289e, 0x4808df65, 0x45c6d9eb, 0xcf8d7ef4, 0xe8dafa1b, 0x4d1c0ba4, 0x1fcf83c9, 0x1245c62a,
+    0xd1b8c74f, 0xc277965a, 0x1fae0884, 0xeae87434, 0x6f310734, 0x5a82973b, 0x3eda14c6, 0xa3c525b5,
+    0x91616a1f, 0x25db6e02, 0xd65c5a9b, 0xaa1c5693, 0x1e90ec58, 0x54bc88c6, 0xdc86f0d5, 0x1e6cdfcb,
+    0x16898cf7, 0xe77c66e6, 0xee85187a, 0x505f1ac8, 0xbacea4fd, 0x543b3325, 0x98a62c05, 0x768f1373,
+    0xdad270a7, 0x5ea36e80, 0x7427bc81, 0x7e5e6871, 0x8c89b795, 0x9b70a261, 0xfbbfc4e1, 0xffd7cb88,
+    0xe14dc72b, 0x3dffe653, 0x55f1a85e, 0x68d4c754, 0x027d9848, 0x031eb5ab, 0xc046fbdb, 0x53feb50c,
+    0x2b39a549, 0xaf126c96, 0x1bcca39a, 0x84b80e57, 0xcbf28eb1, 0xa5fadcc1, 0xc3635e28, 0xbd819a99,
+    0xb3e6a2ea, 0x2a91a8bf, 0xac865cc4, 0x849fbdec, 0x3435cab3, 0xbea0e5aa, 0x15777ec0, 0xd5290129,
+    0xc6a2a976, 0x6d737145, 0x2efe42cf, 0x0de6cc9f, 0x3c4a40d7, 0x9fee95ce, 0xceb00baf, 0x7e7a2549,
+    0xbbcaf3af, 0x87b096cf, 0xcf7c1204, 0x6015f781, 0xe3bb2047, 0x52e8bcb9, 0x01f019ab, 0x9705db50,
+    0x1eaeb6af, 0xb166d0e6, 0x7f878742, 0xc1afd05d, 0x1b23924a, 0x5582e51e, 0x33f9f08d, 0xbca7a817,
+    0x0ff21f2f, 0x673267ca, 0xb1b77fe3, 0xd28282aa, 0x9f22bf2f, 0xacc9def3, 0x61aa575d, 0x8d8e3388,
+    0x504a976f, 0x625ed397, 0xfe37b42b, 0x3898590b, 0xbcedbd6f, 0x92b5031e, 0x9b27b13d, 0x2fe3842b,
+    0xb9898da8, 0xdd8c2e31, 0xbd2210eb, 0x26eedf86, 0xc8a63779, 0xef7ffa10, 0xfaf4b857, 0x4aef922e,
+    0x91652838, 0x20cda3e3, 0x8df02bc6, 0xb1bcd343, 0xcd148f56, 0x77f01ffe, 0x79b2cfcd, 0x0504be57,
+    0xa8d57995, 0x1e798eb0, 0x11cdfe39, 0xd77f4ec2, 0x410cbfd2, 0x2e23e886, 0x491555b5, 0x4106798e,
+    0x2c3cfe06, 0xb7d9dd73, 0x17116757, 0xdc7bcc09, 0x9e25c063, 0x90804713, 0x2292cde9, 0x8425536b,
+    0x097d26c7, 0xdad9b6fa, 0xc49fe851, 0xe070e991, 0x4e75ee01, 0x5725ee55, 0x8b4809df, 0xeb63ec84,
+    0x2144f2b8, 0x3f0f1b3c, 0x59444249, 0xe5550cce, 0x0f70158e, 0x9f0bda28, 0xf7ab483e, 0xe14bb7cc,
+    0x6a6132a8, 0x088e8d04, 0x60041837, 0x8da8de99, 0x4aaca254, 0xbbef2505, 0x97c828c0, 0xf418a64d,
+    0x1d765bf8, 0x9b9ec187, 0x9464ea0d, 0xb173d717, 0x0a637a1e, 0x4bce2db2, 0x73500a78, 0xe1d2c8ab,
+    0x4ff37e1b, 0xd8f62b8e, 0xee65338c, 0x50b94599, 0x20fb28e8, 0x558f2f65, 0xa410e7de, 0x88cfbfac,
+    0x33539582, 0x50d29e17, 0xaf26a7f7, 0x0ae54cf6, 0xaed12a71, 0x3a153282, 0x4a9d4fad, 0xff65462d,
+    0x78568658, 0xc004c2e1, 0xca347c65, 0xe8dd3ea8, 0x6f651b96, 0xc90bef2f, 0x7f39fe7d, 0x9b16aac8,
+    0xd50cbb7e, 0x215428ec, 0x3d075cf7, 0x40c83467, 0x8bbc91e9, 0x8e4bd349, 0x34276bbc, 0xfaa15fb7,
+    0xd9e03c90, 0xe404777f, 0xbb9e4e82, 0x7a38c02a, 0xd92ffc5a, 0x6db4498e, 0xbd50c840, 0x3ce50fdf,
+    0xedcd846b, 0xcabe4298, 0xcd50cc66, 0x1fb4869c, 0xddccaa8e, 0x1b92249e, 0x980fb1d0, 0xa800d170,
+    0x44f6318e, 0x7f79c0ee, 0x5bebad0c, 0x83c8b7c5, 0xef693564, 0x31c0cd52, 0x37aae90c, 0xfadb50ec,
+    0xfb4622b2, 0xc68344bf, 0xe133590a, 0x5e70a4a8, 0x94bfba73, 0x81c86564, 0x1e4632af, 0xfe21b15d,
+    0xa5c06247, 0x3ec19bed, 0xa78a3058, 0x36ce199b, 0xff81cd98, 0xbf2cabef, 0x68ef7edd, 0x8b7fcbaf,
+    0xf94c41e5, 0x44cd89b5, 0x9978def7, 0x00c5f3ef, 0xf044408c, 0x7640a601, 0x53e2966e, 0x5f661b8c,
+    0xa785d205, 0x7e997a04, 0x66315a93, 0x630efeea, 0x7a573f8d, 0xef51ab53, 0xfe5ccc86, 0x67ef9c0b,
+    0xf69b08b6, 0xa3f8a2e5, 0xc12d3269, 0x51d14640, 0x445980e8, 0xa788486f, 0x36ea652d, 0xd387a71f,
+    0x6194fd2a, 0x59fdce42, 0xe1d7b7d6, 0xe3862036, 0xf07ba6e8, 0xc349e6fb, 0xdd30d6b4, 0x6732ae85,
+    0x70c23220, 0x7869ba08, 0x3116d351, 0xfc995796, 0x56b578ec, 0xf4c75f31, 0x8b4f0b4d, 0xc104b2de,
+    0x29474478, 0xa58256a6, 0x96f4b564, 0x07b1e6e9, 0x5284cd78, 0x63afbf23, 0xdec136a5, 0xf8b6358b,
+    0x2b076343, 0x54325545, 0x087e090f, 0x6fc21d23, 0x629617c6, 0xe43b5fe9, 0x8c7da7ff, 0xb4eef8c7,
+    0xd2b5c0b2, 0x8e51710f, 0x5c133df5, 0x132837ad, 0x83a30e3b, 0xd7ec508f, 0x39862534, 0xd5d49252,
+    0x8005aa09, 0xb48d117a, 0x4553b872, 0x6ad07fbf, 0x2fdfb91d, 0xf128b4d1, 0x7e07400c, 0x24b0c15e,
+    0x02d66db4, 0x7fc41ca9, 0x932d0d27, 0xe569d1b2, 0x6c867c4a, 0x153df8d8, 0x2f437595, 0x65db1a07,
+    0x78056e60, 0x62399aa6, 0x805b0d98, 0x7ef60f85, 0xb7d83721, 0x24d365d4, 0x2079a18d, 0x899e75c1,
+    0x42f41fc9, 0x8cb81dec, 0x646bd279, 0xb86e2564, 0xbbbc04fc, 0xc066fbba, 0x556c9282, 0xe230eabf,
+    0x21801b9c, 0xf5f63273, 0xd1589d9b, 0x13287ff9, 0x893e8c7e, 0xad83e40f, 0xb6e73ee2, 0x746117e7,
+    0x9b64971a, 0x78f22863, 0x31562fcd, 0xccbca44f, 0xe7d26696, 0x2f66d3e7, 0x75776494, 0x732ad574,
+    0xe90d2bce, 0x25de4fd9, 0xcf6dceb3, 0x84fd9e35, 0xd0a0dbdf, 0x87441810, 0xd2c6745c, 0x69f8ae16,
+    0x5bd5477f, 0x6487ed5b, 0x507a89db, 0x350de26d, 0xdd7414c4, 0x8e597e63, 0x76d7f20b, 0xbd9c6e10,
+    0x9908209d, 0x009f84b8, 0x431c4005, 0xbb9eff26, 0x2b8d52b7, 0x0c403a6c, 0x8a69937c, 0xf4efa688,
+    0xe1ec639d, 0x09ac3f42, 0x6434ce32, 0x0ffb2e5d, 0xe40f7d53, 0x3cf5a0b3, 0xf0b75084, 0xaac5fd3e,
+    0x00000000,
+    0xa67f8b15, 0x402b2e52, 0xb0a1af72, 0x5b1d685e, 0xd1f125f5, 0xf4eea8f9, 0xe833287e, 0x04173c2c,
+    0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x40000000,
+    0x00000000 }, /* 10**00000000000243886605493436893076687283577591117636609229895700871160871637470\
+                         73216709529418907189891430183531024686147899385989241370687309994439728955392 */
+  { 0x00000000,
+    0x9064aeea, 0x6b952dae, 0x7014fb8d, 0xb2daf8ef, 0xe3ce3bfc, 0xabe9fbbe, 0x2af045e9, 0xc3320754,
+    0x2268f475, 0xed41b953, 0x1929812f, 0x68309b4c, 0xcf9ab149, 0xef30a3ad, 0x2bb23228, 0xfcbfce7f,
+    0x6996b14b, 0x7436af6f, 0x416620bc, 0xce132e96, 0x1c1ec82a, 0xdaed3e56, 0x691f3472, 0xe18a123d,
+    0x67a2e10b, 0xa66275d8, 0x9dc5b627, 0x8ce63295, 0x1e38f1c7, 0x1d337cb4, 0x33c84c79, 0x79234695,
+    0x70ead269, 0xed52add8, 0xa5d25cda, 0x3d2a3b73, 0x6bc75da4, 0x4ce3f6c0, 0x5c758b4c, 0xd4addf7b,
+    0xd33c881c, 0xd804251f, 0x740506d6, 0x41cb8b90, 0x9fb57093, 0x56946efe, 0xa4943314, 0xfce6cd26,
+    0xa9d55c54, 0x99bb913b, 0x7d821563, 0xcf6768c4, 0x85c37747, 0xd4d27832, 0x4fb99c5b, 0xf80956b9,
+    0xe14340f2, 0xa5e48fc5, 0xed10ae54, 0x628f97b6, 0xd7a05515, 0x19ab6549, 0x6a8985e1, 0x8488b8af,
+    0x9197d00a, 0xa2031a85, 0xbdcf1f28, 0xa3086705, 0x06a3079d, 0x431cc5ad, 0x8d7a1ac4, 0x39367d60,
+    0x62430559, 0x1b6ae6ee, 0x12d3198a, 0xb730adac, 0x824fdb07, 0xf4cf2999, 0xc1af35d9, 0xc2d0c622,
+    0xa2a810b2, 0xb67bb553, 0x6ad7869f, 0xdd136c7c, 0x78265711, 0xb879f40a, 0x1deaa26c, 0x8dde13ff,
+    0xf7d27a31, 0x5e7ff0a2, 0x3f86f52b, 0x2fe54539, 0x051254cf, 0x7ff11e30, 0xa0c23841, 0x5c60fcb0,
+    0x3b215417, 0xa86e6fe2, 0x8b3ae870, 0x9214fd2f, 0x4d871fd0, 0x44dd1704, 0x7cc7935b, 0x37791a51,
+    0xa7202f59, 0xff337ad3, 0xe4486b9b, 0xbd75ebc8, 0xd5705d04, 0x2142b391, 0xa0a528ee, 0x38695912,
+    0x02c9bb68, 0xca47708c, 0x838ce6bb, 0x71e1816d, 0x5256451d, 0x139a8b36, 0xf8dd1dc2, 0x56ca7a11,
+    0xe159aac9, 0x6b5a7d51, 0x33b588e2, 0x9c2e601b, 0x1dc7c7b2, 0xc104cb0c, 0x3da6c45a, 0x9514e33e,
+    0x216918c6, 0x64a5564a, 0x4dbb2f33, 0xad04b4e2, 0x5e57b520, 0x9ef4182c, 0x4ed6d7d1, 0xd8bf53c7,
+    0xec9fa583, 0x824d3ee0, 0x00f2d90e, 0xe92637d6, 0xcf9fd419, 0x4c5de6fa, 0xbecd6df9, 0xc2dc3cce,
+    0xc1df640d, 0xd4eff651, 0x48404d96, 0x804b025f, 0xd0d42a0d, 0xb6c0f254, 0xa5f556eb, 0x77ec9984,
+    0x58843bad, 0xca89ff50, 0xf3fdb9c8, 0xf6c50a38, 0xa80c6001, 0x76a3093d, 0x9de35820, 0x2f78f564,
+    0x88bc7a56, 0x635dae76, 0xb90a4b76, 0xb3a4235e, 0x7e55f514, 0xf80c647f, 0xd0a6555e, 0xc35e8482,
+    0x479bd1c8, 0xacbeb17e, 0xd07f8b54, 0xf44a77b6, 0xeac95599, 0xe7648913, 0xa44de5ab, 0xf0bd2f22,
+    0x6fd955e3, 0x63fbf304, 0xe592b956, 0x6b03049c, 0x62050476, 0x61d1b904, 0x7d2b150b, 0xe358ce14,
+    0xdb609566, 0xce20080e, 0xff64ad33, 0x239817fd, 0x2f983f69, 0x60532c96, 0xc8069cd2, 0xa5298c7f,
+    0x26164a1a, 0xbb9a9f13, 0xafdf76cd, 0x51cbd2a2, 0xbcd5ba54, 0xc4a55b55, 0xc26aa3cc, 0xb6a3e6db,
+    0xacf561cb, 0xb8c9a9fe, 0x8332c826, 0x80b380fc, 0x06c3d1b2, 0x39ac4e1d, 0x36ef5f00, 0xade8b04f,
+    0x452506b7, 0x5d81ff98, 0x04607b0a, 0xf88cb4f7, 0xbd31d465, 0xa4e89bb0, 0x257d025e, 0x36ccd73a,
+    0x76da0047, 0x4ce841d7, 0x1cf3466b, 0x7a5c68ca, 0x8319053f, 0x766776eb, 0x5861b5da, 0x30cdddca,
+    0x47c835a2, 0xfbae7977, 0x476fbc98, 0xef887088, 0xe40d885f, 0x5c996d20, 0x5d8d8849, 0x19d5223a,
+    0x583960e2, 0x40f3b0ba, 0xe99abc24, 0x09ebfcca, 0x037ec454, 0x74967357, 0x069ca708, 0xdc6d1c2b,
+    0x376fed00, 0x6d066661, 0x8895d976, 0x4683b0b0, 0x4ceccc8e, 0x18d7d39e, 0x07f7e18a, 0xc98c6532,
+    0xd2f1760b, 0x3b15e151, 0x19d79342, 0xa4197c36, 0x4d848350, 0x97936915, 0x74e6eb88, 0xced50ecc,
+    0xce9c4663, 0x25dd9416, 0xb3d52f7f, 0x54b782c6, 0x215dcb8c, 0xe09451fd, 0xfbd86e93, 0x97f96fca,
+    0x7b9746b1, 0x5cadfc5c, 0x32f5cf31, 0xc98356d4, 0x05793ff1, 0xb8a750bc, 0x42e5c38f, 0x213a8552,
+    0xd987bff4, 0x24f380c9, 0x72c5bce6, 0x66ee7d7e, 0x56aa604e, 0x9e54d532, 0x37deb8b9, 0xfe0663cf,
+    0x3358c1b2, 0x08f2e1f6, 0x95f28eb2, 0xf1386d77, 0x2bcd4212, 0xfe8683af, 0x0c8823fa, 0x3f463c23,
+    0x218021d1, 0xdc9f21ff, 0xc4a36a11, 0x8abef9fd, 0x732db1d4, 0xc3bc34df, 0x142f7d20, 0x39f07130,
+    0xf0a7c1dd, 0x48216fa5, 0x8f21e9fe, 0x81f23230, 0xa16fea3e, 0x31caf176, 0xcd6486fc, 0x697b7f49,
+    0xdf68f80b, 0x7719b7c1, 0x630eadef, 0x8ac88ae1, 0x689d29cf, 0x1a6d900c, 0x6139f4b4, 0xc85e76c5,
+    0x902b4cda, 0xf419ab59, 0x71eed393, 0x6f655359, 0xf0bee23c, 0x1ef080e9, 0xf76057fa, 0xd7a7ed10,
+    0x3b04d8fb, 0xaf2ae092, 0xd3f27339, 0xa94686e7, 0x59de66cc, 0xd2694641, 0x691c1a1c, 0xaedd6658,
+    0xb8d8ec42, 0x5491791c, 0x0a1434c9, 0x5a0d0b54, 0xbde82266, 0x2bb7e656, 0x462af12f, 0x8718be0c,
+    0xbe7b60d5, 0x931030e3, 0xa997c173, 0x9722231b, 0x469c34d4, 0x1d1a2e54, 0xe6e01d9b, 0xc637c95c,
+    0x89e1b918, 0x3935151b, 0xdd38be4c, 0x06d0edd0, 0x55c18810, 0x35f67d43, 0x20693a60, 0xbe30de9c,
+    0x19e0bc1e, 0x9920749f, 0x3cfb8006, 0x119184b8, 0x5567220c, 0x9151fc6e, 0xee0c4faa, 0x65ad159a,
+    0x91d6f9b8, 0xd5fe1e11, 0xf99653b4, 0x266f149a, 0xe801df10, 0x1b946224, 0x243ad33f, 0xc8a1ec76,
+    0x3b7d5cee, 0xffe81933, 0x7fe9af1a, 0xcca33c78, 0x9511e77c, 0x5b8e2779, 0xa982481d, 0x68b78819,
+    0xd27d0c26, 0x1399a9f6, 0xf447a76c, 0x23ad9c03, 0x9b1118db, 0xea9e0e83, 0x7dafdb71, 0xeb5e3ccb,
+    0x2d3399d1, 0x6962ce4b, 0x684cd3b9, 0x47b15851, 0x80c4284a, 0x44db2a79, 0x6038417a, 0xff918445,
+    0x4bcae131, 0x048c0db8, 0x7e35b7c3, 0x12a9993a, 0x787c1970, 0x3862e9f7, 0xe04855ad, 0xe353302c,
+    0xeb0711e5, 0x5ff5289a, 0x37b0f1c2, 0x3869c1dd, 0x9e886b0c, 0x4e0f7f71, 0xbb0e9eb8, 0x9fc6990a,
+    0xb600a771, 0xcebeb7f5, 0x2a25643f, 0x97fe36dd, 0xc43cd011, 0x0e60e9ae, 0x04917ebf, 0xaf9812ea,
+    0xf1962f94, 0x86b3135e, 0x64f5d9e6, 0xbd31760c, 0xab8000f9, 0xe6a77b0c, 0x92f7c33b, 0x4aaa2828,
+    0x84cb11fc, 0x76909744, 0x9845a06f, 0x3f04a286, 0xd222ea36, 0x5c339804, 0xe2801961, 0x11440ca0,
+    0x39aa6c8e, 0x9874444e, 0xa53a6941, 0x06bcb070, 0x52305ef8, 0x88daa0ba, 0x26897cdc, 0xb55b6b10,
+    0xe359ff34, 0xc4cad2e9, 0x5c2887fe, 0xbae2b235, 0xea7622d6, 0xaa6c3bb4, 0xe001af90, 0xedd53f41,
+    0xc607178e, 0xdee9934a, 0x0e699f73, 0x1595512b, 0xde50ca3c, 0x7c199ab6, 0xb3d5eb9d, 0xbd949960,
+    0xf6c16c23, 0xbbe39a19, 0x58f473e6, 0x9911ae9c, 0x7f957bd0, 0xbc73e5d1, 0x05092407, 0x94973f01,
+    0x628f6a35, 0xf43c7083, 0x296e2d38, 0x2eac0384, 0xf65f73c8, 0x5f8951a0, 0x4f720520, 0xcb8eaa75,
+    0x7e95c26b, 0xef02e051, 0xfb72f12f, 0x66324f07, 0x9d4d3551, 0x2461394a, 0x86d48fec, 0x48cb0a72,
+    0x67f2b493, 0x052dbdf5, 0xbe9ac75e, 0xa6a78fb8, 0x4006eaff, 0x84489447, 0x65d0d461, 0x3a752fa6,
+    0x4435b599, 0x5573daf8, 0x29502b00, 0x459704fb, 0x1bdea966, 0xb62e8a3b, 0x82f28032, 0xc770f92a,
+    0xb2565de5, 0x567356ed, 0x50951c41, 0xee515c60, 0xd85ceb16, 0x37e3bb1a, 0x70a358c2, 0x60f3ddb0,
+    0xab6af8e0, 0xd52cd2c2, 0xe6f7e3aa, 0xee47eb86, 0xcfd533b5, 0xd2c98b3b, 0xb669ab7d, 0x0352783c,
+    0x5f028cea, 0xfb5d9747, 0x00ee4714, 0x4fc326f1, 0x1c5c3da2, 0x86b098b2, 0x4b101d8d, 0x8595ebee,
+    0xa7d3c52e, 0xbadc57db, 0xfffd2d03, 0x86545792, 0x599f1769, 0x3b815a49, 0x072ca65e, 0xb3ef0fae,
+    0xa82bc5d7, 0x16eeb1de, 0x7b3e4818, 0x1002a128, 0x30e27c95, 0x7b04f8f9, 0x3bdf1ebc, 0x4a8ca2bf,
+    0x04144ec6, 0x142d7c48, 0xca8af87a, 0x7eb9866b, 0x86bb004e, 0x38707ba8, 0x3205a2bf, 0x743d2045,
+    0x929856f6, 0xfc45ed9b, 0xf01b355c, 0x17f02e60, 0xc052dec0, 0xca341488, 0xa8e6c591, 0xf09bf766,
+    0x4947be40, 0x08e36d2e, 0x03cdd07e, 0x557db166, 0x85eabe2b, 0x4ea62154, 0x3a48b884, 0x2f2461c6,
+    0x8b17ba0c, 0x6b980e52, 0x890816a0, 0x4896ff6a, 0x85263cd0, 0x616500b7, 0xdc971dc1, 0xedfe2cd5,
+    0x1ccafa52, 0x9be80323, 0x9be5b264, 0xbeb02d87, 0x30988420, 0x0e11e842, 0x99a6d3be, 0x846c122a,
+    0x7578a89f, 0x2abe012e, 0xaff33175, 0x4916421b, 0x6532db1c, 0x29170c16, 0x86236cdb, 0xee8224b1,
+    0x033ed5d0, 0xc31f5e46, 0x284e951c, 0xf108ed53, 0xcd414623, 0xa6861526, 0x7209decb, 0x3db29368,
+    0xed84eb07, 0x6a8a9f1c, 0xfc48ed38, 0x4ec17b76, 0x8f283ae6, 0x735f9bb1, 0x59b70393, 0xc8ec1252,
+    0x23fdca5c, 0x04b2a28c, 0x4f30c4fd, 0xfdd8f01a, 0x7e149416, 0xac175672, 0x226a7a61, 0xc1b29aab,
+    0x2d6ae919, 0x670b0dd6, 0x59a8c777, 0xb35a9309, 0x39fa1069, 0x043143cd, 0xe7425625, 0xdc9c30af,
+    0xd27cea99, 0x4065e474, 0xc1cd58b7, 0x432e05d7, 0xd7b4aef7, 0x232f636a, 0x8aca8124, 0x3e874648,
+    0x9c2463d0, 0x63184fb6, 0xbf560a1f, 0x401d4e24, 0x7e46fcb3, 0x34b89060, 0x26200fac, 0x467a5472,
+    0x3117a547, 0x1d8c3fd9, 0x27c25759, 0x2feb7b52, 0x14c9dbca, 0x90c1c869, 0x986765eb, 0x05691841,
+    0x6a52f151, 0x33857f6b, 0x2c7232fe, 0xf6e8f5b6, 0xbc949a70, 0x787ed6f6, 0x802ed042, 0xb4d2a49a,
+    0xd1c1f474, 0x69a922c7, 0x7f699e50, 0x16006058, 0xde1e25b8, 0x67321397, 0x3ad9c9f8, 0xd5a7bdc3,
+    0x6d382e4f, 0x6212d80b, 0x7b0c8653, 0x5d1f9c80, 0x6a17a10a, 0xd3d25571, 0x1eacda77, 0x58d53599,
+    0xe19fe304, 0x2d28279f, 0xd9a4cfc6, 0x7e0cdd5b, 0xf17c6aed, 0x58d2062a, 0xb3cac91a, 0xd1e00181,
+    0xb0195c63, 0x27181fd8, 0x6ad0ef83, 0x84914615, 0xd492a214, 0x91761a5f, 0x1b985ac9, 0xb3219cfa,
+    0x12667bdf, 0x357c565d, 0xab9e1173, 0xa254017f, 0x512d658b, 0x185947ce, 0x088a52a2, 0x57283313,
+    0xcc50bdba, 0x009ccc1b, 0xdcecdd1b, 0xeb4ef133, 0x75bd1ac1, 0x5db6b3e2, 0xc66aa3fd, 0xb09f0500,
+    0x8aefad6b, 0x4d6fc1bd, 0x60c4e3a3, 0x5421957a, 0x04043961, 0xaa4ccc7f, 0x288bf651, 0x456b76a3,
+    0xeddd5def, 0x6041a521, 0x1db56c5c, 0x146a40e0, 0xc3438fa1, 0x987956ad, 0xb862cc8a, 0x6b4bc394,
+    0x1282368a, 0xdecafd32, 0xfc68f18b, 0x45bfb341, 0x3bb3fb17, 0xb2d1968c, 0xd77cab0f, 0xb329d0be,
+    0xecfe0ec9, 0x6e8ff616, 0xe68fdced, 0xf75e6b22, 0xff5b98ed, 0xeef03d38, 0x4b7c07c5, 0x6bbc37c7,
+    0xc2c84ea8, 0xfc37c460, 0x8a715f9d, 0xf5029355, 0xd721c6dd, 0xf3d87871, 0x05f4276b, 0x2f3dfd85,
+    0x010a37ff, 0xf9bd6d25, 0x3b537ad2, 0xc44ebb13, 0xa352351d, 0x09f7ebb9, 0xfdd1ed52, 0xa065c530,
+    0x95542c14, 0xcdc44590, 0x68db2742, 0x78cc2b9c, 0xa914fd06, 0x46c9f886, 0x76dac548, 0x6ec72fd9,
+    0xbd3039a6, 0x890b54f9, 0x3ee463e7, 0x7809ca50, 0xa087c389, 0x128230ab, 0x0ae3fdf6, 0x22cd04f0,
+    0x0fec0ae9, 0x50f64fe5, 0xd6ec3374, 0x50c45cc9, 0x5d94d851, 0xed04f1bc, 0x1253a280, 0x97e28cee,
+    0x0eb3ed18, 0xa0f0e0f4, 0xfcbc88b9, 0x6c41188c, 0x75e835de, 0xaadda78d, 0x366a61ae, 0x622ad132,
+    0xcfface74, 0x6cd665dd, 0x5332a85c, 0x6b6aaa56, 0x5fbe6ef5, 0xf5822079, 0x39530e9c, 0x66b73ea9,
+    0xc05979f0, 0xf54bea29, 0x1979bfe7, 0xdfe3ab9c, 0x1f4261e9, 0x92e73aad, 0xd0cad497, 0xcf3f4893,
+    0x4a039f1e, 0x8d411c9f, 0xf2c51db8, 0xf8ce1b45, 0x05f1d705, 0xfbad54e2, 0xb6f0d53a, 0xfcc9d002,
+    0xeba33c59, 0x038f97ac, 0x5ef8b9a5, 0xdbecb024, 0xf1956d29, 0x1b4dda00, 0x14d793bb, 0xc64988bc,
+    0x6cf66c65, 0x024b1e63, 0xac3e2e47, 0xc9270cec, 0x660729cf, 0xac4b0709, 0x429170b2, 0xcc9db6c2,
+    0x49ec9f73, 0x4b111780, 0x1038e1b9, 0xc613c32f, 0x8a5a34b4, 0xac080b45, 0x7940b9e2, 0x7f7062ee,
+    0xbe83fa1c, 0xabbd0a2c, 0x05f0e6ec, 0x8b153058, 0x6f260b43, 0xd04cd45c, 0xdabb5bf7, 0xa9639578,
+    0x1038c20f, 0xfa46f2a5, 0xc47a0d17, 0xaaee5c48, 0xb51a6487, 0x7e17fb2f, 0x0c7c17a3, 0x1c811088,
+    0x06ed3b36, 0xfaa430d5, 0x6e458203, 0x7004b7c3, 0xa7ce74af, 0x0f08a7af, 0x60ac296d, 0x58cbf6a3,
+    0xfbedfbe8, 0x58d588aa, 0xacf44e0d, 0xf2001773, 0x48eeeff2, 0x2f275210, 0x4bfad4f6, 0xac070344,
+    0xadd0b4ff, 0x6b9f7e7c, 0xd8c9831d, 0x35966b1e, 0x00e00406, 0xd754bccb, 0x34c39d2a, 0xe7688d66,
+    0xe31e3c77, 0x0d344856, 0x604f43cb, 0x447ba3de, 0xb2d8c4ba, 0xb54fd653, 0xef925647, 0x7b7c5bc2,
+    0xbe3fde4e, 0x6c634f06, 0xee8b3dfd, 0xaa563a91, 0x8ce2e376, 0x8258c023, 0x01810b87, 0xc5662094,
+    0x58fb302c, 0x13b10294, 0x17f7157d, 0xc4adf50e, 0x5e511018, 0xd3d6ed11, 0x0abcd82c, 0x630e9096,
+    0x0e8b41ea, 0xe53722ad, 0x9066d4a5, 0x8848c196, 0x918bb3b7, 0x639b7d62, 0x37950155, 0x489fbcac,
+    0x3a639580, 0xf482dd1c, 0xad52a546, 0x8cc0c7df, 0x39afd207, 0x89332212, 0xbe500b12, 0x4b3f5e2f,
+    0x1db95aa8, 0xd89c16fe, 0x03a15d87, 0xb6408a52, 0x04bbc176, 0x0f5aa5a4, 0x661a4d86, 0x4a435170,
+    0x77824aaa, 0xfc31a881, 0xd8b04385, 0xc4cd00c3, 0xc1dcfeda, 0xb44fafa7, 0xf359e136, 0x3daa1188,
+    0x1f125935, 0x7a77f3f2, 0xe9ed1681, 0x12141b28, 0xffbb6db9, 0xd68ba2ff, 0x53372996, 0xff0cd472,
+    0x3979aa7d, 0x048bc7c4, 0x9ab3e829, 0x11cd33e6, 0x5aded369, 0x35ec24ed, 0xfc3be00b, 0xe9a62705,
+    0x7d0b69ad, 0x3fbe91b2, 0x31d5e0d4, 0xe49e2b13, 0xac6a631c, 0x3c0be0cb, 0x2214197b, 0xd21639d8,
+    0xdebf622d, 0xdc196042, 0x88eb56c4, 0xa92dfc49, 0x71c8eb3b, 0x80cb59bc, 0x64060902, 0x87058405,
+    0x6a3c3973, 0xcf9e1704, 0x6f13e598, 0x8376d30b, 0x3a3acd69, 0x222c3f40, 0x5b74c580, 0xb998a24f,
+    0xf5e09bea, 0xed0368a1, 0x311ff883, 0x29178219, 0x23b36ec7, 0x1e1aafbf, 0xc3e2f027, 0x5d8add12,
+    0x3fc93616, 0x90504b39, 0x0d699949, 0x970f6e5c, 0x494c308c, 0x2431a93b, 0x7a17a3f1, 0xa74dec35,
+    0x8dd8a71e, 0x6df7c888, 0xe52beb8c, 0x1314a537, 0x2a523633, 0xa9c613b2, 0x3e6c3e51, 0xbe628834,
+    0xef9a4195, 0xef521501, 0x12042a67, 0x03dd4f9e, 0xfcde16f0, 0x25ae0bad, 0x66d0e1ef, 0x3515438c,
+    0xdce0ea28, 0x18640c46, 0xb2ae68b3, 0x5e7df54d, 0x5030477a, 0x7367c994, 0x233c3197, 0x58c1a8b4,
+    0x16291a42, 0x0e614fac, 0x2450e62f, 0x56260c7c, 0x3f2a8196, 0xde8c64b6, 0x2eba38f2, 0x93d90e71,
+    0x00000000,
+    0x533fc58a, 0x20159729, 0x5850d7b9, 0xad8eb42f, 0xe8f892fa, 0x7a77547c, 0x7419943f, 0x020b9e16,
+    0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x40000000,
+    0x00000000 }, /* 10**00000000000121943302746718446538343641788795558818304614947850435580435818735\
+                         36608354764709453594945715091765512343073949692994620685343654997219864477696 */
+  { 0x00000000,
+    0xb664ed0c, 0x2541c314, 0x001150eb, 0xabb0400b, 0xf5128c9b, 0xcbfbf288, 0x89ef708e, 0xccbf511d,
+    0xcca37be0, 0xda66d4f8, 0xbe6ad918, 0xa5f2b0ae, 0xe96b4b8b, 0xb5018b2c, 0x3f961ccd, 0x88ef053e,
+    0xb87da229, 0x8726fa8e, 0x2fc8ee51, 0xe4b84b4d, 0x4742e5a2, 0x7a00fb2b, 0xa1dd8915, 0x1a498148,
+    0x04440d8a, 0xe28d0c26, 0x3d91b086, 0x7cbc33aa, 0xd5c8a7e5, 0x915d82ab, 0x6b1e49a3, 0x4e0c1aed,
+    0x48967666, 0x4cc6efdb, 0x5159bf1a, 0xee7e26f6, 0xd2a8c606, 0x34406011, 0xa43fff8c, 0x64414c43,
+    0x3c836653, 0x8c57ae61, 0x043d51bc, 0x0bd2c043, 0xc0bb25de, 0x75f02dfb, 0x08650e60, 0xe9607dc2,
+    0x9e867b56, 0x6da907fe, 0xda567557, 0x16f2adb5, 0xf773f3c3, 0xd8fb3de2, 0xee9f2602, 0x203d2006,
+    0x6e2af80e, 0xf46fa0c9, 0x4753d5ea, 0xb2bf7454, 0x7538b68f, 0xde258ae7, 0x2fd5110d, 0x8430cbbd,
+    0x5ee4cec8, 0x1794a684, 0x4ba0774a, 0xec57c81c, 0xaeced534, 0x65c8edcf, 0x965281ab, 0x3eee93d4,
+    0x2af5c377, 0x0c1e640b, 0x3ffe4619, 0x5f357528, 0x6c4f5341, 0xc5a5a75e, 0x4eb126fd, 0x5a5cf0c4,
+    0x498f98eb, 0x06f5d2b7, 0xcb5ab9b2, 0x8c648942, 0xded17fd8, 0x6005c883, 0x375fd9a4, 0xdd101161,
+    0xa66c379b, 0x39df92c4, 0xc6091365, 0x44ca6020, 0x49db20af, 0xff52d076, 0x2d4f9523, 0xe3580b1c,
+    0xbcb466e5, 0x84e9f21d, 0x4ba4cd59, 0x1b2e299f, 0x22142139, 0xc90b582f, 0xce75985f, 0x3af62137,
+    0x171fcdd0, 0x5713daee, 0x26029d07, 0x797137e1, 0x8d602907, 0x5c7e1c69, 0x53b2ed35, 0x4187788b,
+    0xab0947d9, 0xfa9b009f, 0xe629f65c, 0x0d1d3d30, 0x1182a507, 0x3226b686, 0xb7e87599, 0x58e21eb9,
+    0x03265dd3, 0x889a9a38, 0xafc4043e, 0xed626454, 0xbdfdc9df, 0x06bb5f59, 0x01f43747, 0xe50fde33,
+    0x41a1fe9e, 0xd52d8417, 0x22cc8dba, 0x1a640546, 0x8e74afca, 0xd073ae26, 0x4c4b1860, 0x8f7fd2d9,
+    0x950a1d06, 0x7332a4d0, 0x74e85425, 0x38badbb2, 0x9aadbadf, 0x7c6a1ee6, 0x6b379496, 0xe99161ce,
+    0x56b7144a, 0x35db9f11, 0xa6409d9b, 0x98002a35, 0x069ddcf2, 0xa6602a0c, 0x6e8dc4eb, 0x24e440bc,
+    0xc5be7cdb, 0x77f152bb, 0xe80bc576, 0x77b1e8c2, 0x97d503a1, 0xf08d8f89, 0x8d660493, 0x6c8777b8,
+    0xb1a9d8df, 0x20e37b81, 0xbdcbb03f, 0x1c89223a, 0xae083c5b, 0xa94a2e6d, 0x1fb6a35c, 0xadfec83e,
+    0x2f69784d, 0x08eeeb2a, 0x2212befd, 0x10fcac0f, 0x0c7c5ffb, 0x4822fba5, 0x7b824806, 0xcdf30d35,
+    0x5c5dbf05, 0x0a0273ec, 0x677931fe, 0xcc7afaaa, 0x6c010975, 0xa8b3b9e9, 0x03f2ea7b, 0x35de78a8,
+    0x1b393d0d, 0xe5d05763, 0x5faf275e, 0xbf73bd3e, 0xb1af370e, 0xf112dfc1, 0xf9bc2dfc, 0x975f0675,
+    0xd3c4a97d, 0xc2ed5ce2, 0x5364cf65, 0x950a8716, 0xcc3fd9ed, 0x0b5115dc, 0x29d310d5, 0xd67cc8d0,
+    0x28cb2afc, 0xb1abcb56, 0x24454b48, 0xf208fe25, 0x3c67ddd3, 0xea59b4c2, 0x9a56b7f5, 0x8297c95a,
+    0x0a7b3546, 0xc6c10f00, 0xf33344ed, 0x5c8776e3, 0xbda9cb5b, 0xd1308053, 0xccd95655, 0xb951bacc,
+    0x760de786, 0xb6e08976, 0x5bde7c85, 0xd4bf7a8d, 0x1c51d314, 0x7d9b0ea6, 0x37c623fa, 0x34a3b565,
+    0x1a278873, 0x21277dc6, 0x1f852e7b, 0x2b35c66e, 0x87bb21f1, 0x358668b1, 0x86a12235, 0x5d113590,
+    0x65ab2d4a, 0x009c2569, 0xaa6bb944, 0x2295d2a4, 0x2f408b28, 0x4b30dbb5, 0xa98a1547, 0x9f4920e0,
+    0x3d903f6f, 0xfa6e5ff0, 0x10b32f30, 0xf172bf92, 0xac66dbf6, 0x30a4a90a, 0xeef03306, 0xbaa62da8,
+    0x8081e0ea, 0xae911d68, 0xb23702a0, 0xce58ae35, 0x08fe4ef7, 0x2371501c, 0xfa7e3577, 0xb9d4fdb3,
+    0x7c95d1da, 0x5b01fe2b, 0xcb5c99a6, 0x54eb04fd, 0xff746507, 0x66bb73a7, 0x79282607, 0xc62d6a6e,
+    0xae7b8f38, 0x31daf259, 0x9ad50208, 0x515bbadb, 0x0af87d3e, 0x03e57050, 0xf40eaabf, 0x60ca8132,
+    0x6c7acc1a, 0x1ccc4f69, 0x03d3e1a7, 0xd93f6a0b, 0x36bcd89f, 0x29fe98bd, 0x8ad41225, 0x6881b9bb,
+    0xc7c9e766, 0x8d2b47a8, 0x52b589e8, 0x22c2b61d, 0xb050da23, 0x55b9d62f, 0x36cc95aa, 0x29db485d,
+    0xda52b60c, 0x545d3aa9, 0x034299de, 0x9d6034ca, 0x125f1c27, 0x4528e1ce, 0xc2e9a0af, 0x0edf6b34,
+    0xfdc9d441, 0x769bbd17, 0x83b4803e, 0x8019ee47, 0x7679b572, 0x4c3557fa, 0x2119ac31, 0xd3eda81a,
+    0xd796132e, 0x7b1eef4c, 0x2ea7e23f, 0x01e2b8a3, 0xef976943, 0x4ed6b3d8, 0xad212966, 0x0786b177,
+    0xf5eb0dcb, 0x1a5b4408, 0x100a955c, 0xd9c60ab9, 0x01da3591, 0x2945b47a, 0x69c4d686, 0x1de12d51,
+    0xeff0074c, 0x6acc085a, 0x0ad8b0a1, 0x7cb677e8, 0x61ebdd37, 0xdc5379a0, 0x5cd2bfb4, 0xd6f6fc8f,
+    0x5c9e9274, 0x7a3a9541, 0x9fe12357, 0x0286db5b, 0x0ae6fb33, 0x086e0e58, 0x8b0476c8, 0xa1923ef2,
+    0x8443837e, 0xeb663a6b, 0x04c64db7, 0xe6574bf5, 0xea95ad62, 0x8e1c0188, 0x67b36edd, 0x4a8f45d9,
+    0x60226cc9, 0x183171b1, 0x59c3d324, 0x02e7af9b, 0xc11fb741, 0x38253df2, 0xe1df4038, 0x347fd1a4,
+    0xb132c0d2, 0x1c5a5fa3, 0xd094767f, 0x25fac64a, 0x6f92cb2f, 0xa736b852, 0xdc0999b3, 0x79cba975,
+    0x7633cd9b, 0x86fbcb0f, 0x0c89d88d, 0x90ad6c90, 0xf211d4bc, 0x3a869552, 0x48417342, 0x6d542e1a,
+    0xeeb1e76f, 0x6b3013c7, 0x47a400ec, 0x69684a9f, 0xd1e31dba, 0xda589dfe, 0x71e0c39c, 0x683c720b,
+    0x52e9c866, 0xabf28e64, 0xd780d257, 0xa5c1b4bd, 0x2234eb41, 0x49ed2c50, 0x55421c0e, 0xbe9e563e,
+    0x95e3b59f, 0x6ada38ea, 0xc4e3d6fc, 0xc0b0c9e2, 0x2ddcd7b0, 0x58399d9d, 0x69c6b67c, 0x5a914995,
+    0x1aa2c245, 0x14d291f8, 0xc5a4aac6, 0x4b9e27a3, 0x34bd7865, 0xfb1a21d1, 0xc2f16c11, 0x283f7c86,
+    0x26fc7751, 0x5ea7d0c0, 0x4d0b6ed3, 0x97730cc3, 0x5efeebfc, 0x728c864f, 0xccaf4119, 0x72c61a5a,
+    0x90bc6853, 0xf222089d, 0x7ec17e63, 0xaa13fc73, 0xb716fbe2, 0x5c389a72, 0x05e438ea, 0x2a9f90b2,
+    0xc4c77e56, 0x92e36756, 0xfc7b85c8, 0x85b20f94, 0xeb25a204, 0xdcef9388, 0x625ca690, 0xd1f1a770,
+    0xe0d38b80, 0xd747f183, 0xd435f056, 0xbbdac8eb, 0xdf6aedc8, 0xd68ac254, 0xc333692d, 0x5eac0c62,
+    0x6a939641, 0x1f98cf3c, 0x606e6283, 0xa760ff0e, 0x804451ee, 0x1902fc91, 0x752a776a, 0xacfecb0c,
+    0x8f48e340, 0xd1b9e1e1, 0xe81c679c, 0xb1109abf, 0xc784aa98, 0xc2a81b33, 0x177aaf8a, 0x229ee4db,
+    0x6f9e2141, 0x20dd9216, 0xb87146b4, 0xab57259c, 0xc7eec390, 0xfb178cb2, 0x6e34fdec, 0x0d10fb2b,
+    0x2a94f78b, 0xfbd11738, 0xc4adb465, 0x0df74250, 0x8086c4cc, 0x40f4ad14, 0x68499e05, 0x9118427f,
+    0x6839454e, 0xa6076536, 0x073c09d9, 0x004444c0, 0x419166a6, 0xd157a607, 0x68ac634e, 0xf37b8b26,
+    0xcad001db, 0x6a558e3a, 0xbb11c966, 0x5cc6a505, 0xbcd2c855, 0xea00b2ca, 0xdccf8b8a, 0xdeba2d4b,
+    0x4bccd312, 0xb6b21d3b, 0x1ab81f5a, 0xf98779bb, 0x2fb2b3b7, 0x3ec48ead, 0x1d0d012c, 0x3a59f402,
+    0x9bf822bf, 0xbf0579d6, 0x548e446c, 0x47bd30ec, 0x56df036a, 0xc690a996, 0x78606e6d, 0x7d3e613b,
+    0x35e21cb6, 0xdfe96c56, 0x1a6fe5ca, 0xcf58997f, 0xfdc754fb, 0x60e67385, 0xe8904616, 0x50b834e9,
+    0xabadd687, 0x11e5ee5b, 0x1f9ab4fd, 0x48cb19e9, 0xd2b6a6b7, 0x89179c24, 0x444620c3, 0x3d0c1563,
+    0x10e07664, 0x81743e4f, 0x17d3cd58, 0xcf4d314b, 0x461aef8e, 0xe8259827, 0x7903b01a, 0xbbbaaaa4,
+    0xccc3ca5a, 0x0df96ecb, 0xb5d07ee7, 0x817e0383, 0xf746be69, 0x98eb2725, 0x8f529b45, 0xd790e2d7,
+    0xe506e4cb, 0x964aca3c, 0x091cab80, 0xe1d4dccf, 0x2ec094af, 0x897a6653, 0x794d259b, 0x5d219273,
+    0x190a65d0, 0x2280850d, 0xd2addaea, 0x0c2c8c14, 0x738f3db7, 0xd1c961e7, 0x5aa33253, 0xa6955898,
+    0xf474d0d9, 0x2c8700d6, 0x09b2f9e6, 0x0fb5a851, 0x65c970e8, 0x8206938b, 0x795039f1, 0x8183cf1a,
+    0x6f46db3e, 0xb8777e6e, 0x87a5662c, 0x5a23939e, 0x8db7bc13, 0xdd8e705c, 0xa361e72e, 0xd662dee7,
+    0x6787b78f, 0xbe0957ad, 0x66fb894e, 0xb2c5b7fb, 0xe698ad32, 0x8f464566, 0xddb13354, 0x59bef5ea,
+    0x859a7ef9, 0x6ce62d87, 0xe764783c, 0x60ad945e, 0x74c9688b, 0x198e91a2, 0x29d84c25, 0x1713e08b,
+    0xbf7855db, 0xd477ad35, 0xdff65a12, 0xea7c7d6c, 0x6031cd2e, 0x40755d83, 0x369408a0, 0x0a0ff7b6,
+    0x0a08b3bc, 0x3abfa6c5, 0x9a751a84, 0x6d805923, 0x3aa5bfd4, 0x8c3bb19a, 0x5907ac46, 0x6019bcf5,
+    0x2564b0c8, 0xbf1ce319, 0x5e8defc8, 0x1a9ad542, 0xc4100c1a, 0x1a208e92, 0xee7334c6, 0xae1df6f1,
+    0x48b681bc, 0xaa7f102c, 0x57aedee1, 0xba9ddc34, 0x782b595e, 0x27ff18bd, 0x2b99aaba, 0xd33a6624,
+    0x25ddcd8c, 0x3d3055ea, 0xfe8f1e1e, 0x1a7bf5ed, 0xc8e3ec8d, 0x22e3994d, 0xfe05097c, 0x7d816e83,
+    0x54fceba9, 0x07cf2fa2, 0xc8debee1, 0x7b807776, 0x3cd8c89b, 0xf28d02b0, 0x38d7182d, 0x80d073e8,
+    0x5c743ffb, 0x8983f876, 0x812f38d0, 0x97cce843, 0x9b92bce8, 0x69b06dc7, 0x015536f3, 0x6b8e9bc2,
+    0x9ec9e760, 0x1111f79e, 0x82bc0f93, 0x3fc1d811, 0xe35cd11b, 0xf2d67d9e, 0xa0398901, 0x547a6a56,
+    0x0b92baad, 0x2938f0f0, 0xf0edbf29, 0xf9b6da26, 0x3e1a1905, 0xffff883d, 0x4bd14a52, 0xab85decf,
+    0x800d7604, 0x805c9df1, 0x6a870dda, 0x7f25078a, 0x4e290f97, 0x68068e29, 0x2abcbd15, 0x774d0c29,
+    0x243b01a7, 0x564e0d11, 0x8775bdfc, 0x290b985f, 0x1053eb92, 0xd2725ee3, 0x257f5df5, 0xcbf81766,
+    0xf9b18a5d, 0x788775d4, 0xacc3e180, 0x600f1146, 0x4b110fd2, 0x2eab7619, 0xff911da5, 0x14ec872f,
+    0x90d479d0, 0xa1e762e3, 0x862ebc9e, 0x7898e3aa, 0x4879c04d, 0x2895de57, 0xfa62af36, 0x34efb9bc,
+    0xddafaa73, 0xc96de46f, 0x6ee877a8, 0x3ccbd85c, 0x7b4aa30f, 0x98bb05ca, 0xbde500a4, 0xb67d5112,
+    0x71d0c352, 0x5127a672, 0xd820b07c, 0x042b5b2a, 0x0401722b, 0x4cd92934, 0x1433a31b, 0x120e2e9f,
+    0xe6b9fdfb, 0xed1b7b6c, 0x27a27c93, 0x47804a13, 0xf0d72645, 0x9a4d8374, 0x8a8f182b, 0x1dad712b,
+    0x4e36664f, 0xbdba1af7, 0x32a82f4d, 0x81dec12a, 0xd3d07503, 0xfc9da3cb, 0x3fed9f14, 0xb9a501b0,
+    0xe85418cd, 0x1263d993, 0x9fda3195, 0x70a12cb9, 0x21a4e5de, 0x8be9255b, 0x3d99108a, 0x5f0d03fd,
+    0xe07396a6, 0xd0b0e6c8, 0x769d978e, 0x78cf9d1a, 0xc3643b16, 0xebbd3ce7, 0x4112f81f, 0xf3a34a2a,
+    0x34e5e4a0, 0x08460cc4, 0x01937d15, 0xb6a629c8, 0x48b78725, 0x7e69aa10, 0x0c8f5c01, 0x52535988,
+    0xe582c230, 0xde61cf66, 0x021cbbd6, 0x6975b2a9, 0x9890d8bc, 0x2eb882a8, 0x7317b437, 0x8ee34c61,
+    0x5541c4ca, 0x94935aba, 0x5f70d62e, 0x86f44331, 0xd4f33dba, 0x0fc64a88, 0xaeeaf5d5, 0x4ec234b7,
+    0xaeed644b, 0x6d3ab69d, 0xd1d3187a, 0x32d5554f, 0x7b3fffb9, 0xeb48046f, 0x40af59e5, 0x10531654,
+    0xaf8a0968, 0x1dd1b363, 0x40d23dcc, 0xf83754e3, 0x1d4043de, 0xeec373e4, 0x7f772c14, 0xbb4516a6,
+    0xe77b329d, 0xa3476c93, 0xbd6d2780, 0xe3f1746c, 0x8600facb, 0x6d9c74d0, 0xe7706bd3, 0x43bdb514,
+    0x456405dc, 0x48d61fd9, 0xb646219e, 0xd8dbf895, 0xd37bc59f, 0x5336438a, 0xe63dad03, 0xd8d6951c,
+    0xb7d7cb56, 0x5a859331, 0x53cc1417, 0x0d4ab034, 0xcb38672b, 0xeec641f8, 0x79dec434, 0xa057e31d,
+    0x7108baa9, 0x443a7547, 0x5c8d6e4d, 0x4c1937aa, 0x3a366181, 0x4665d7ba, 0x4abaa00e, 0x4e30f62c,
+    0x5a26634f, 0x9d16fc8e, 0x77a6ff01, 0xcc30b21a, 0xefe26580, 0x15387038, 0xeb8fe471, 0x630fd7bd,
+    0x49330372, 0x5e81a2ed, 0x5eddb62b, 0x98bb1c8c, 0x0e09bda8, 0x3d0a14ae, 0xdd416c66, 0x9f972b85,
+    0xca25542b, 0x5d6156a0, 0x20e35921, 0x5dbd1f3e, 0x002693da, 0x8ac9b511, 0x3c9c4590, 0x6e97b3c9,
+    0xc6cdc030, 0xf9cfd632, 0x1843ce19, 0x67f56c9a, 0x02c700d3, 0x0e647f25, 0xa3f582f4, 0xb730d1d3,
+    0x92b29db4, 0x57c08f27, 0xf0483352, 0xfb8c5a14, 0xdc957677, 0x00bb7005, 0xdedc2a3c, 0x893b9ad2,
+    0x6b139a6c, 0x7c170e7d, 0x3c3bde97, 0xcb3f8d98, 0xb5f30f5a, 0x68bcb356, 0x279cdc96, 0x63bb691d,
+    0xdf4cee04, 0x4d511f1f, 0x02e946ab, 0x9627539d, 0xc09aae3b, 0xe306d731, 0xc9f282d0, 0x1cbb172b,
+    0x3876a5d7, 0x62f0298b, 0xc2501ca9, 0xf9ba9c37, 0x67f90672, 0x45ff3df4, 0xc74169ad, 0x61ee5f1a,
+    0xd65132cd, 0x862c7ff3, 0x60e5a69f, 0xff4890da, 0xce4c01c1, 0x7cfa1be3, 0x6b9fb561, 0x72292180,
+    0xb949dc61, 0xb607fe14, 0x10981cf5, 0xd803d86d, 0x626ddea7, 0xdf13b740, 0x50a95418, 0xb79e067a,
+    0xd6baf6a5, 0x1de103a7, 0xc8093dc5, 0x917607e6, 0x03d1a66a, 0x5c3f4b7e, 0x629cd9d7, 0x1f428595,
+    0x7054b543, 0x4a4875de, 0xd9c060ac, 0x8452c715, 0x89315aa8, 0x2831925b, 0x6e699dff, 0x37a29623,
+    0x77de7062, 0xbed75d7b, 0x17094cc4, 0x5d6db1f6, 0xf5be4bcd, 0xdf6f5e0c, 0xa3138fa4, 0xcb27edae,
+    0xd04384e8, 0xfcea40c0, 0x0ffc5f4e, 0x9bddac4f, 0x1f2cb140, 0xd596636a, 0xe368e2c5, 0x1299cc53,
+    0xcbffe3d3, 0xcaa37684, 0x4c046b03, 0x09515bbd, 0xb0010cf4, 0x1b68a083, 0xcf590776, 0x298d068a,
+    0x2a33dce1, 0xad57e8d6, 0x2d72e7cc, 0x4e3a6cfd, 0x2dd49cb1, 0x9f6ab593, 0x0becf0fd, 0x9527ae79,
+    0xbdb1a21c, 0xe3bdb726, 0x150f6a81, 0x2bec1915, 0x7e5ae8f2, 0x3b47e38e, 0x99aabff7, 0xfa331374,
+    0x43dfdb51, 0x35d96310, 0xc1fa2fb9, 0x8b1dd1ae, 0x4c3e0c54, 0x0537c792, 0x81354ed0, 0x8589e6e2,
+    0xbdc0280e, 0xe012fe4e, 0x25cda7f7, 0x0def1b58, 0xb0cfdeea, 0x097d95bd, 0xcc7f7a65, 0x07c00a76,
+    0x98e79ef9, 0x9a76392a, 0xac1cf009, 0xb0ca4872, 0x2b773c84, 0xc5f20cb1, 0xf39aa741, 0xa5bedc3a,
+    0x74a1f044, 0x0c8aceb7, 0x7a8b441e, 0x6299725d, 0xd9cc1592, 0x11c93b90, 0x6c5d3ed3, 0xf49d9dea,
+    0xa6007bfa, 0x029ad677, 0xf8184023, 0x2698e3bd, 0xc846da6a, 0x0b2fa9a5, 0xe5b1b79c, 0x0744d0ca,
+    0x57331c62, 0xc49f1d0a, 0x847a4d62, 0x195f2301, 0x3c5905ff, 0x3f221ae5, 0x971b7756, 0x97204c2d,
+    0x483b08d5, 0x3abf8a73, 0x1735c769, 0x1c50dc0f, 0x5a9c1f11, 0x3082988b, 0xb0bb7841, 0x59c8781d,
+    0xa46ef7b8, 0x58ca78ee, 0xeabe654f, 0x360b97c6, 0xf836e342, 0xdef7f606, 0x0e7f7545, 0x5e85a092,
+    0x01ee6319, 0xa4ebaf3c, 0xaebe8e48, 0x538a85f3, 0x4016b729, 0x87d61d92, 0xc39bd833, 0xc28c5ffa,
+    0x00000000,
+    0xa99fe2c4, 0x900acb94, 0xac286bdc, 0x56c75a17, 0x747c497d, 0xbd3baa3e, 0x3a0cca1f, 0x0105cf0b,
+    0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x40000000,
+    0x00000000 }, /* 10**00000000000060971651373359223269171820894397779409152307473925217790217909367\
+                         68304177382354726797472857545882756171536974846497310342671827498609932238848 */
+  { 0x00000000,
+    0xbecb4ffd, 0xb12023c8, 0x3d4cb9f0, 0x8259a7db, 0x7ddb8200, 0x370a1523, 0x3b083c03, 0x4159e55e,
+    0x1b5515fb, 0x56db6f92, 0x8212c2dd, 0x1f9f0741, 0x9efc96bd, 0xd2132533, 0x4b9d368a, 0xfe9bc2b8,
+    0x27cf83c9, 0x2e4ed857, 0x4b1a3429, 0x90702f58, 0x92cc0607, 0x675abdeb, 0xb81c3625, 0x664aab1b,
+    0xd0123289, 0x520e8b06, 0x9cca1197, 0x83a5fc1d, 0xfbf3c5c4, 0x16c65cb2, 0x4d96da90, 0xaa332a34,
+    0x97673ac4, 0x4180d2d3, 0x35f24bd6, 0x859adfb0, 0x0c73c494, 0xbcf56a2e, 0x420ce655, 0x2211d774,
+    0x08af9360, 0x0b6d177b, 0x15120c07, 0x7fd4a742, 0x52b746b8, 0x0dc7bf94, 0xaa1eafbe, 0xad9d6e1c,
+    0x60a5248e, 0xc15a4c34, 0xcd0f15f3, 0x513a1d03, 0xf78d3841, 0xa5763902, 0x9db2856b, 0xffa952af,
+    0xd97a3886, 0xae376318, 0xc0ae8ab5, 0x6d6598b5, 0x070740d3, 0xc265f5ca, 0xd96127d9, 0x8cbf25ec,
+    0xd5b7d825, 0xd47a0661, 0xa0f8ca11, 0x604cd3af, 0x627aabf7, 0x15fce53e, 0x3313d4a5, 0xb09ed673,
+    0x8cd6b1bc, 0xb8817155, 0x17e3b315, 0xf0d66d8f, 0x2cfd5a54, 0xa9702178, 0xd2cd8082, 0xa2a74f3f,
+    0xb5534839, 0xdecd90ab, 0x894f537e, 0xed89326a, 0x5479ffba, 0x55780ff9, 0x9ad28f9b, 0x55df2a76,
+    0xe440a432, 0xf2dd9d0e, 0x0ba4cbae, 0x9100970c, 0x940d9fc6, 0xcb3357ab, 0xfc16de48, 0xc9146fa1,
+    0x47b69a20, 0x67ddd90c, 0xf9602f44, 0xac10a9ec, 0x4c2fee24, 0xeb224064, 0xfc017c2a, 0xd6ddc566,
+    0xe7e288f1, 0xda1665b0, 0xcc5c3e15, 0x79947735, 0x7b4381f2, 0xf798044b, 0x1d07f33f, 0x21fb95f6,
+    0x05386699, 0x35e20048, 0xa5931c6c, 0xef1771fa, 0xf42a0c4b, 0xfc8d1415, 0xa346225c, 0xd47e0437,
+    0x30496257, 0x7453571d, 0x1d1d974a, 0x42300d07, 0x0e1a2d54, 0xdafb3b0e, 0x52cee47f, 0x9613ad50,
+    0x3a91ee36, 0x0437fcc1, 0xd290edb1, 0x7d566959, 0x3c82d8b7, 0xe4733170, 0x7c5d52ce, 0xebc56e94,
+    0x138e062e, 0x8d1ae001, 0xdef09143, 0x3cb0e431, 0x4538a480, 0xdbe2436c, 0x90bd4415, 0xcb58a0eb,
+    0xdab50854, 0x9ded1e81, 0xa888621d, 0x8decd2be, 0x5fcd1090, 0x5291c9ef, 0x93e38806, 0x71af028e,
+    0x5a672d3e, 0xe8723b1b, 0xd2694223, 0xcd96655e, 0x259ba77e, 0x7d6c0af0, 0x63503614, 0x4456af50,
+    0xf273ad62, 0xdcfbeffc, 0x8af3d60e, 0x7b682a69, 0x7f0e3798, 0x099b950f, 0xa2358fef, 0xb936975f,
+    0x7060e26f, 0xc0827786, 0xa6f5f455, 0x441fbc58, 0xbfddc027, 0xfd5cbbd2, 0xcb9a257e, 0x36937ee8,
+    0x70b166aa, 0x17c3fbe3, 0x192f6c79, 0xe42b379e, 0x4b9a17a9, 0x42ed180f, 0x3d89b03f, 0xe3ba241f,
+    0x69eb3d62, 0x7fa1020e, 0xc593ce64, 0x64773126, 0xa834aabb, 0xf9a8c5ac, 0xdfb8eb76, 0x93888035,
+    0x2d964ba5, 0xa7fcd0a1, 0x8310d30b, 0xfabf5421, 0xb92b9780, 0xbba94dc9, 0x32b728db, 0x5da8a067,
+    0x6cc3143f, 0xc7bce2cd, 0x9d87b23b, 0x4d0238fd, 0x2561c815, 0xb9938ca1, 0x5132ac71, 0xa82d5440,
+    0xb4b2d062, 0xd9360e7c, 0xe3309fad, 0xbfe9b0cb, 0x7990a296, 0x8147c71e, 0x8e0ac10e, 0x4c2db112,
+    0x20ba9c8b, 0x99b48795, 0x80465b1c, 0x9dbc0a6d, 0x38816a1f, 0x2de8c67e, 0x5def889d, 0x4f6a2e5a,
+    0xef46f073, 0xddfe1639, 0x3d5778e7, 0x8cd89c6c, 0xfebfa6db, 0x368ce96c, 0xc42e9536, 0xb4e96eb7,
+    0x1ed6482f, 0xc36e634e, 0xa495d682, 0x3982c216, 0x37eb6262, 0xc88902d0, 0xb9f43617, 0x909d1cd2,
+    0xb2abfb7f, 0xe5b0eb7e, 0x9308845e, 0x24e24519, 0x68328af6, 0xbf5064e5, 0x1888ab50, 0x992ee446,
+    0xb8a45765, 0x7ec738b5, 0xf0a6ab4d, 0x7ab3555f, 0x0ec9fe87, 0xeffe0755, 0x33a4732f, 0x95180d71,
+    0x23118119, 0xeb894821, 0x0e4ba668, 0x9ac4a051, 0xa36293e8, 0x31e86784, 0xcf55ca63, 0x447b6eae,
+    0x5199a61b, 0xb709f975, 0x2433545d, 0xfa86717a, 0xacc3f70c, 0xd586c1d5, 0x1ebd2660, 0xbb38b967,
+    0xbd1b887a, 0xb8b4bcca, 0x8a47da07, 0xabe19623, 0x6567d4e9, 0x79fff0ae, 0x048364e3, 0xe0c0843e,
+    0xbe7646e5, 0xa636325a, 0xe06a9170, 0x1285e32a, 0x28105528, 0xa34c5b74, 0x94431ac3, 0xd6f82f2b,
+    0x346ba94d, 0x09d11009, 0xf1b308c1, 0x8dec0c7d, 0x510ed308, 0x10c30796, 0x0c669c9d, 0x9b689cdf,
+    0x79804153, 0x493052b7, 0x2b27b51e, 0xad493927, 0x073c6890, 0x86954715, 0xc8828800, 0xf0caad8c,
+    0x64355761, 0xb451ea46, 0xd4abf729, 0x4dfb4266, 0x209b8ac4, 0x4f73220f, 0xecff68b0, 0xe916ba53,
+    0x1bc04ae0, 0xc3f03a85, 0xf7f2a6ce, 0xec558335, 0xa9d2bf15, 0x525980a1, 0x14b1b82b, 0x36f448f4,
+    0x3105811e, 0x45c570b0, 0x0b524e55, 0x3389f44e, 0x30ecbbcb, 0xec62330f, 0xb662b6cf, 0x8551c649,
+    0x069d8e59, 0xc75be7f4, 0x3b7c350a, 0x5939c701, 0x815b575c, 0x5ee0de5d, 0x0874b01d, 0xe8b35cf1,
+    0x2c64a807, 0x71a65a2a, 0x5d86f465, 0xf3196043, 0x4775beaa, 0xa59877b6, 0x3655df08, 0x551340db,
+    0xaec0d992, 0x0731e018, 0xbfb4b848, 0xb0e70c53, 0x38d81548, 0x4a70af2f, 0x76eeae08, 0x53b3e32e,
+    0xd24345b1, 0x7fa6fe67, 0x47768a10, 0xdce22dae, 0x35f416a1, 0x9627cb8d, 0x8597a226, 0x5c940c84,
+    0x5351cafb, 0x7d7e730a, 0xd1a621ff, 0x7a31b7e3, 0x38c0ce7a, 0xe959fc59, 0x06a5aac2, 0x691dde6f,
+    0xb7ae96a3, 0xcbc0d75b, 0xf0608c69, 0x52f8a20c, 0xa96af9b7, 0x43ba3320, 0xab80231a, 0xfa22b690,
+    0x677365b7, 0x0c3dd8fb, 0x2f5f9fb4, 0xd6b89bda, 0xeaf0f8b7, 0x010db50a, 0xae99c628, 0x0722b1d9,
+    0x6bff129f, 0x14a30c03, 0x41b0bd75, 0x881fce65, 0x1998c49d, 0xa3a97aa4, 0x3c041cdf, 0xbd831de9,
+    0xd531d059, 0x9e787dbe, 0x53e90496, 0x1ea2290c, 0xa7e4fc50, 0x4a54c454, 0x0b9020c0, 0xa0ba2da1,
+    0xf5681af7, 0x66eeadaa, 0xb46b4209, 0xed3a3f58, 0x7c92e6f9, 0xb9d698a9, 0xf077f5ae, 0xb68f21ea,
+    0xeb96abe6, 0xf3a3fe5c, 0x9832fc1c, 0x797234e5, 0xb6493258, 0x31cecee0, 0x0f12670c, 0xbdaf66ff,
+    0x76cdda3a, 0x2cec0063, 0xf0195475, 0x45b4baa7, 0x5c167bf1, 0x5a0f6e44, 0xea03e9b6, 0x9ccb09c4,
+    0x14d2d370, 0xdd418cf7, 0xdcf090b3, 0x9ad0ed8c, 0xaf15f491, 0x8ee855c2, 0x5e31f460, 0x3a95904e,
+    0xd1032672, 0xe7b5fbc4, 0xe8e7b87d, 0x960e29ad, 0xc5944525, 0x97e621cf, 0x47658483, 0xf32ee3ad,
+    0x53d2bc10, 0x5180b4a7, 0x191740b5, 0x28b77606, 0x7b5c0c72, 0x65f53c9f, 0x95322a73, 0x6216ff2e,
+    0xbe88ee3e, 0x1981df6b, 0x34a68cfe, 0xf95c24c9, 0x01f6cedf, 0x9805de06, 0x71ba51a8, 0x39391370,
+    0x4add8cb5, 0xb9a0a4cc, 0x6d79f54d, 0x76825c28, 0xb00dbe79, 0x8249fd39, 0x614f017c, 0xfed635e9,
+    0xbb95ec16, 0x6cf0825d, 0x08f4a918, 0x4d848667, 0x7681e102, 0xd6b9c35a, 0xbbba3c8b, 0x1a81be6d,
+    0x92388b14, 0x7d745695, 0x911ebb3a, 0xd6912800, 0x8ed8c90f, 0x2fa784eb, 0xbd6a3495, 0x7c82cf9a,
+    0x689e26b7, 0xea39a676, 0xc275edca, 0xefcb3368, 0x99c3090d, 0x2104b7a0, 0x3a28f222, 0x19e70e4f,
+    0x96046860, 0x25a71185, 0x8b2663e8, 0x031b229e, 0xc28c4b63, 0x46f9bf4f, 0x1feb3ddf, 0x46bfa7ae,
+    0xaa1dcc01, 0x735ee43b, 0xe6e609f9, 0xba14c010, 0xda9d2fe0, 0x49520122, 0x0f61f7ff, 0x85dffc93,
+    0x47184010, 0x53bc004a, 0x45f92fa2, 0xdc825458, 0x3bd8e5a7, 0xb947ee94, 0x32823fdc, 0x487719fd,
+    0xece0355a, 0x32ba23cf, 0xcb3c1316, 0x061a51fd, 0x5a00f696, 0x53d57435, 0x304eb91b, 0xfe34415e,
+    0x39b7b292, 0x25b96fbd, 0xe81a4bc0, 0x2dff0846, 0xb784181f, 0x84adac09, 0x322a5b26, 0x340d2512,
+    0x7306fde9, 0x816f497f, 0x8adf5236, 0x7beba6af, 0x2546c3fe, 0xd81846c4, 0x9925df6f, 0x22baf1e1,
+    0x5fdd58cf, 0x946d978b, 0x53d35064, 0x007acd55, 0x2c83b271, 0x4eabb54c, 0xd80b5e31, 0xa16654d5,
+    0xa0187f08, 0xf4c9c545, 0x023a429d, 0x3fe7735c, 0x3b88d8a2, 0x9529c7c0, 0x1ad8cbff, 0x9c25a8ca,
+    0x8f2167b8, 0xc4c954ed, 0x8d272f09, 0x0a3547f6, 0xb8826267, 0x7f042028, 0x8f636b40, 0x465f13c4,
+    0x337b33ca, 0xe47e5655, 0x86ac2f23, 0xc46d3d82, 0x531d41c2, 0xb6f2f9e5, 0x010e1525, 0xd3a2fd17,
+    0x14b9092d, 0x33a8e7da, 0xd0a55bbf, 0xfcb3c445, 0xa7b68f67, 0x8aa9fb11, 0xe418d0ed, 0x66306507,
+    0x4f9d6363, 0x4c741963, 0xe3d9c499, 0xef0addb6, 0x609ac3c9, 0xbc687eb1, 0xf613e730, 0x7aea8616,
+    0x2d8386b8, 0xb45a2ce6, 0x77532d51, 0x3c119944, 0x58ac1df8, 0x2b9dddb9, 0x102a1bae, 0x5cb76ada,
+    0xa0316e6e, 0x96701809, 0x63c03501, 0x15b1cd22, 0xc8b3cace, 0x35a3b56f, 0x93bdc09c, 0x3546d3d1,
+    0xcd55919e, 0x5d49aa31, 0x0a822a20, 0x28785e4a, 0x5b9bd37f, 0x85cd9222, 0xc06fa1f4, 0xac0ffc4e,
+    0x1e420152, 0x06188ee5, 0xbd21bad6, 0xb2bf8834, 0x68a05aef, 0xaa3db586, 0x6913f341, 0x015284cb,
+    0x3544be01, 0x1e4c38c0, 0x78fbf5af, 0x534fd2f5, 0xcf0104d9, 0x4853cf96, 0x85aecb6b, 0x7e25e22a,
+    0xb5961185, 0x44612876, 0x1890f31a, 0x319ead95, 0x0f52fcd8, 0x197ee03d, 0x80c23052, 0xea524298,
+    0x8f34f785, 0x09a20150, 0x4c0bba3a, 0xa37aa8d6, 0xe21e4919, 0xeb0657ba, 0x720ce1b6, 0x3c0345b1,
+    0x814eb3f2, 0xb2d65aab, 0xdb7ff931, 0x2ee9ec62, 0xbabd0c0c, 0x056f6d07, 0x7108a232, 0x1e165c59,
+    0x3b4295a5, 0x2dc6dbbf, 0x1d33dedf, 0x985aa97a, 0x95dc6d20, 0x045260b6, 0x741088d5, 0x75e62032,
+    0x88d7e543, 0x43d98e5c, 0xbb380fab, 0x17c5ca28, 0x15c94088, 0x444a53d3, 0xc30794de, 0xfc7db265,
+    0x0ed970b1, 0xe3920dc1, 0x905dadba, 0xa3a4620a, 0xeb947433, 0xcef0da35, 0xc9935046, 0x5876814c,
+    0x3782e93f, 0x70df60b5, 0xce9836ed, 0x11c3c50e, 0xc8fe19a5, 0x4352f2f5, 0xe9f8c212, 0xa50bae19,
+    0x62a22477, 0x9f8292e9, 0x9b32fbea, 0x760ceb03, 0x9ef33d4b, 0x4c762f44, 0xbb5f2104, 0x3e0d33d6,
+    0x7a737af8, 0x25393b03, 0x7f587b95, 0x7c889f39, 0x94d84cfe, 0xe55e1f25, 0xd7495e2c, 0x9a15b605,
+    0xdd6f3464, 0xeb331fce, 0x7e7f8dc7, 0xfec84e04, 0x57e49306, 0x92746656, 0x4b5c009b, 0xaed1e366,
+    0xaabbab75, 0xbbd719f3, 0x6f9a5398, 0xaac2065d, 0x2cb6c401, 0xc6b46cb5, 0xa12c2d37, 0x957201e7,
+    0xcce2b0aa, 0x0a582506, 0xf75f5387, 0x18cd61b6, 0x46ed2ca3, 0x66ed6c8f, 0xd2d39ac8, 0x06743569,
+    0xca41923f, 0xb8f9afea, 0x6522532f, 0xa1935d74, 0xc45afde5, 0xf4f665a4, 0xca40b4dc, 0xcb968d95,
+    0x3c8a5a0f, 0x549069cf, 0x5f2f6244, 0x84c6dd8a, 0xa06d2a8b, 0xd2704004, 0x54096919, 0x129d77c9,
+    0xa998b297, 0x1411f60a, 0x765bd3b8, 0x067b1314, 0xccabaabb, 0x4f284472, 0x8204e156, 0x57cc7ca1,
+    0x2edc1941, 0xeda15e72, 0x7bdaf247, 0xdf61e147, 0x1c6a2aac, 0x5dbcca3d, 0xed256478, 0xfcd33a38,
+    0x5aa55d5c, 0xd0956fe2, 0xd4097553, 0xd02ed066, 0x119d1ac2, 0x02ed7d40, 0x0cf68f9e, 0xdf9c0d37,
+    0xf4686746, 0x38a3448f, 0x1b2e533f, 0x16914faf, 0x9064dcce, 0x838c731a, 0xb88fba01, 0x63a3a78c,
+    0x13a3289b, 0x8161e283, 0xefaa3f4c, 0x55b3e3a9, 0x5a94a72d, 0xa65c88e8, 0x71ef4ae2, 0x8275acc3,
+    0x8e077e3d, 0xcbf85b49, 0x13bb3c94, 0xea8f9379, 0xc7b4c526, 0x6d82e1a5, 0x5df3fdfb, 0x3d0f1726,
+    0xab24c2ef, 0xbfd6e89c, 0x51005f1a, 0xdaefd009, 0x2f829520, 0xee76ea6a, 0x6185e6ca, 0x347c4eec,
+    0xb905327d, 0xfea98c16, 0x57b0a901, 0x079a4b2b, 0x54b22735, 0x6926044e, 0xc458bad4, 0x676765ec,
+    0xb9e426de, 0xb505e937, 0x20200279, 0xd8dababc, 0xa78fe1bf, 0x8b7a0cd1, 0x6b2201ee, 0x2fe17934,
+    0x1151cfc2, 0xf8cc9009, 0x971eb408, 0xafa0cffe, 0x93b25b2d, 0x6a448892, 0xd2dd1d2b, 0x4efdce51,
+    0x42f5e4a5, 0xf6409a4d, 0xbcd308c2, 0x4ac60d2e, 0x28fd7cef, 0x27f3205e, 0x79c7caf2, 0xc5d1d8eb,
+    0x3cbc8537, 0x836a75b7, 0x3489c6c4, 0x9117b64d, 0x7c82b739, 0xeeeb3621, 0xb4492d61, 0x5f424e2b,
+    0x0e0d3ff1, 0x2861ab51, 0xeca5c809, 0x569e8757, 0xa6d1c304, 0x406b562f, 0x40d8bb36, 0x44035319,
+    0xdfb01f47, 0x1370eef5, 0x2f0dc169, 0xa8ccedf2, 0x60caf21b, 0xf0d0844f, 0x6573c976, 0x3d76b137,
+    0xe3515142, 0xf067c300, 0x80ecc7ee, 0x6cec5e1f, 0xd2866156, 0xb41f6b11, 0xcc9c732d, 0x02d5f2cc,
+    0xc7fdca98, 0xde8c0d95, 0x1ec18191, 0x76e7c385, 0x8ed6be7d, 0x9e5ffa52, 0xa9d236dd, 0x85bc86f5,
+    0x2a516d08, 0x8668a169, 0x6ae7b068, 0x33e76c24, 0x15bdb8af, 0x7b69738b, 0xd68dae9a, 0xa8cbce55,
+    0x708a4ea0, 0xc8cc9c47, 0x513da62d, 0xa6ab72cb, 0x5b904948, 0x01cd50b3, 0xa3343f87, 0xebc50c08,
+    0x947c26f0, 0x87c729b9, 0xba7f5a68, 0x6eb18c49, 0x34884e03, 0x102efeba, 0x9a1d1ff3, 0x05241f81,
+    0xb16e5eb8, 0x61967d17, 0x2c02dff8, 0xebe36873, 0x677ff278, 0x49a70c35, 0x51a46158, 0x6a8a3b53,
+    0x022038ac, 0xfacd2c2d, 0x3f987034, 0x758837c1, 0x899e2211, 0x1b38a4bf, 0x125e511a, 0xa5531704,
+    0x291982b0, 0xe025d5f1, 0x54bfbabf, 0x5079c0e0, 0xa19f6b2e, 0x0d2b808c, 0x6b9f3a61, 0x2efc8894,
+    0x7c27c5e6, 0x98268cc9, 0xa3de7111, 0xc3f9cf42, 0x237f9d97, 0x5b9a886f, 0x11d3c34b, 0x5b6d6c4b,
+    0x72a2debe, 0x89bb23c3, 0x59f7e017, 0xff9a89d7, 0xa84e5626, 0x08942da7, 0xc541c698, 0x93430687,
+    0x1086469f, 0x9eac7b94, 0x678d2e8f, 0x6463b2d6, 0x64c89346, 0x4fa5c877, 0x1f7fbfb8, 0x8d04bfd2,
+    0x85b035ec, 0x48c654eb, 0x1a02c237, 0x4b0664d8, 0xbf5a637b, 0xd8c24d1a, 0x760d547e, 0xb234e1fa,
+    0x9bc9f2e2, 0x47e2c37d, 0xc62fa5e8, 0xe2100685, 0x7528d461, 0x0a3293d1, 0xbe4fa77d, 0x25250a57,
+    0x06dda14c, 0xb8362f8a, 0x32f5b70b, 0xf9675a59, 0xc36839d4, 0x22f0e90d, 0x3c224261, 0xca6854d7,
+    0x15572dd1, 0xf1f90915, 0x49708511, 0x3e0913a2, 0x88e50b01, 0x41ed676a, 0xe82c586f, 0x19316e78,
+    0x377521cf, 0xa6bdfe0a, 0xce8f0d22, 0xd107d618, 0x410aff1c, 0x4d19659f, 0xb1005c79, 0x2d2e710a,
+    0x8a39ecd6, 0x867c8d7f, 0x80dd2a0a, 0x52ad96ca, 0xbf3c68fa, 0x782125d0, 0xd80edc19, 0x02dc61b0,
+    0xbf68acb9, 0x48ea9b05, 0x97a1d6ab, 0xcbc046bf, 0x8a912c5c, 0x66ffa1a9, 0x34020dbf, 0x1656bd89,
+    0x8e0c68bd, 0x6bed59cc, 0x6fe4172f, 0xc06829de, 0x5d1537b9, 0x82541edd, 0x07b8b204, 0xfee4094f,
+    0x64a115e6, 0x5d903cca, 0x2b28095f, 0x1ef01fbc, 0x8f6743da, 0x34926c26, 0x858a9df9, 0xdf2b3f86,
+    0x00000000,
+    0x54cff161, 0x480565ca, 0xd61435ee, 0xab63ad0b, 0x3a3e24be, 0xde9dd51f, 0x9d06650f, 0x8082e785,
+    0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x40000000,
+    0x00000000 }, /* 10**00000000000030485825686679611634585910447198889704576153736962608895108954683\
+                         84152088691177363398736428772941378085768487423248655171335913749304966119424 */
+  { 0x00000000,
+    0xd07c5000, 0x56057839, 0x18ab903f, 0x3e9d4bf1, 0xbac90d20, 0x4743caad, 0xe58835a0, 0x2f3fe4db,
+    0x4a1031d6, 0xdfe0748b, 0xc5f85690, 0xe1b53ef6, 0xbe47978b, 0x8f01ae00, 0xe1a50a06, 0xf5f8d014,
+    0x5be21632, 0x42447847, 0xd1fd2ef7, 0xd0455a9a, 0x46969794, 0xed8d1355, 0x409c5688, 0x653696c4,
+    0xdc5c77db, 0x48f030da, 0xd2b58919, 0xaa7f171f, 0xf0d20f84, 0x67caa363, 0x86c698fc, 0xe543024c,
+    0x77f6dfe3, 0x73bc340d, 0x73b00dad, 0x5be40a11, 0xa47ea0b7, 0x7e9aa405, 0xf1c9ae34, 0x7fd32566,
+    0xba230a15, 0x4d3bdf63, 0x69758c59, 0x7d64e1d6, 0x2a708903, 0xaf2e12e0, 0xd0f0e8e1, 0xd6c63aa3,
+    0x6e9a74b3, 0x90f98547, 0x383a516f, 0x8f30edd8, 0x6d3f778e, 0x400b95ef, 0xcbe42c59, 0xba11a7d3,
+    0x94dc1bdc, 0x906d9927, 0x38aa6369, 0x68f78d31, 0xf56fa1eb, 0x6727dffb, 0x7a933b7e, 0xc91a53f9,
+    0x6f6220d8, 0xb9a7ac19, 0xac23e1db, 0x41cedc64, 0xb9bba1f2, 0x061dc2bb, 0xab954143, 0x590887ca,
+    0x7b7eb950, 0x857acec5, 0x4ddf4cd0, 0x6afeb6d5, 0xbdc2bbd4, 0xa6c14dfc, 0x89b53052, 0x83216da8,
+    0x0eceda17, 0xa455ec34, 0x91a986ff, 0x3cff3315, 0x3db7eb02, 0x40ca321a, 0xba9baedb, 0x969822d5,
+    0xc7ebbf86, 0xe8a5f26c, 0x5b6e41af, 0x43751207, 0xd46c1b4b, 0xf3d91fb4, 0x0d6c47fe, 0x01f6f4e2,
+    0xb25aa8fc, 0x4431d527, 0xf44d3edf, 0x6a47b86b, 0xc5165d3b, 0xcfba92ec, 0xcfb9389a, 0x0974168c,
+    0xbff1722f, 0xef43180a, 0xf1e5e482, 0x8a52eab9, 0x3b4b01db, 0xcb9d62b5, 0x3babb4e9, 0x9d558133,
+    0xb756f576, 0xf2d04e63, 0x6dd79e17, 0x98015aed, 0x720f82be, 0x48b7f129, 0xd44b1fc1, 0x34b5617b,
+    0xc79a9ea7, 0x653039b7, 0xf6695861, 0x9f8ef390, 0x40eb1b0c, 0x983ac1a9, 0xbd873be8, 0x81201c76,
+    0x1e7de56f, 0x69a8233c, 0xae9547ed, 0x3c184e15, 0x22f407ab, 0x605106be, 0xb3b7b2fd, 0xcf42a3b0,
+    0x21be9ae0, 0x5f69c18d, 0xf4a478f9, 0x868c3093, 0xffd0aa43, 0xa92e2005, 0x7d0f871e, 0x057c3cf7,
+    0xb6ac66be, 0x14b3e7f4, 0xa5ffa4de, 0x3d6c89e5, 0x7354740e, 0xf74a38a8, 0x5b4c2a04, 0x505f9bcf,
+    0xb667a25a, 0x31da9854, 0xba81767c, 0x7e3569b6, 0x4b1223fd, 0x823e62f6, 0xd4d3aace, 0xfca295e9,
+    0xd3584d9f, 0x7719243b, 0x155c1d4e, 0x88c95acf, 0x8367bc6a, 0x92e286e3, 0x43304a0b, 0x6e2ea5e1,
+    0x39145758, 0xe828e326, 0xb81abe11, 0xef4d4a50, 0xbb15419a, 0x3f602e9a, 0x18015684, 0x6ea48517,
+    0x71e6cbda, 0x0478676a, 0x7c832a8c, 0x91bbe8b2, 0x460f5d18, 0x7f644be5, 0x96f46716, 0x49ab3743,
+    0x50230ca2, 0x275cb31f, 0x81503d46, 0x20c8b2be, 0x95d89931, 0xe0a6024d, 0x1e0b0ca5, 0xb6295e3a,
+    0xf8706949, 0xcb0278de, 0xb187abb8, 0x8499ca83, 0x41887278, 0x7e3e5521, 0xa9fa9e85, 0x0749d62f,
+    0xe322c1a8, 0x23369b9e, 0xda8cbad0, 0x0b928ff6, 0x52003c07, 0x6ec26823, 0x7d8b9aa6, 0xe0911dac,
+    0xf57aa4a9, 0xfd169755, 0x62c78b8e, 0xfbef6704, 0x22b82b28, 0x56251549, 0x2d12f422, 0x5fc50606,
+    0x336c03e0, 0x013232eb, 0x3d1922a9, 0x8a863c58, 0xcc53ccc5, 0xd5d78269, 0x1b5f7be3, 0x452feffd,
+    0x77bc481c, 0x89f91a02, 0xe95e2f07, 0xc3be3ed0, 0x5e628a51, 0xa40aafde, 0x73b0c468, 0x27c0b9d2,
+    0x97960757, 0x8fb2625b, 0x885b9122, 0xcfb87f83, 0xe63eb219, 0x5dec2060, 0xfaf51af8, 0x3ba43bfc,
+    0x2fbda865, 0xb11f47d4, 0xb04570f7, 0x989fd75c, 0xf657b5a9, 0x84d31462, 0xc5ae9b48, 0x1bf8dd77,
+    0x40fc62c5, 0x4d216353, 0x59dcfcb9, 0xf0396f81, 0x1f2bed86, 0xa3ff46b9, 0x4582c392, 0x2af042d4,
+    0x84caafb3, 0xb2bb0aa6, 0xf52ee19c, 0xfa492cc5, 0xd164f352, 0x5003b105, 0xb5bf0eac, 0xf244ea17,
+    0x0ee5e9bf, 0x1796e23f, 0xd3a17fbe, 0xd28191a2, 0x55f18959, 0x7cbcad89, 0xf4d9210a, 0xa7f3feb7,
+    0xcb585c7e, 0x87f77489, 0xc82abb4c, 0x0592b3ec, 0x25a93be6, 0x0791de15, 0xd282f7d9, 0x7a5f474e,
+    0xd2ff0908, 0x040a0133, 0x4991c4a2, 0xec49f183, 0xdac28027, 0x6fc4353c, 0x7ac0ac31, 0x1f8fb8a8,
+    0x771938bb, 0x9c1b7f8c, 0xab9a6c4a, 0x2942e70b, 0x728b0cd9, 0x05b04076, 0x3b012e00, 0x7e8e1271,
+    0xd15f8dd0, 0x74b9fd2b, 0x19f5cb98, 0x8246deb9, 0x0e49c510, 0x92ffddce, 0xcc8243b6, 0xc065b954,
+    0x4bf50838, 0x4159a240, 0x012ae001, 0x520ef8ad, 0x761b5e37, 0x64c9fc49, 0x4bf59227, 0x12376d27,
+    0x926ab83f, 0x9b189c95, 0x4cfa2a75, 0xef3cceec, 0x5fc03a46, 0x9bbb60d3, 0x3bab5b4d, 0xb21f330d,
+    0xbdf27035, 0xe2386343, 0xef9a3522, 0xa6707178, 0xee1f1b8a, 0xe2fc2bce, 0xf5e06f9e, 0x29d93aac,
+    0xac8d55e0, 0x818dfc7b, 0xe838094a, 0x2d499fed, 0x0428a74f, 0x7726b1e8, 0x2a638b40, 0xf44d1a8d,
+    0xda488bc5, 0x71bfe1b1, 0xff49b695, 0x7fa50b30, 0x645c6314, 0xa78bcd30, 0xf2942683, 0x1fbaddf8,
+    0xafc46d72, 0x66b9a748, 0x69ac1ef7, 0x55327010, 0xdb419d86, 0x03b736a1, 0xbd14e340, 0x4c725342,
+    0x3bce6fe6, 0xe7b8630c, 0x6d156f98, 0xde1171c5, 0x59c85492, 0x9995743c, 0x245a5c95, 0xf1e655eb,
+    0xd815b2c0, 0xb68c406d, 0x236530a6, 0xfb2d591f, 0x2c237685, 0x87230d6a, 0x96623988, 0xad2aecfb,
+    0x91aacc05, 0xbe7bb5ab, 0x8343c831, 0x224c715e, 0xa19dbe04, 0x0a609960, 0x044ffa24, 0xd79a930f,
+    0x5d6793af, 0xec59b1cf, 0x868caa48, 0xe1c42550, 0x5e4bb43c, 0x894d8a41, 0x5270a142, 0xc87e2b7d,
+    0xf2d74b7e, 0x1dd0c803, 0x1c12744d, 0x1c02e3c8, 0x1c08a67e, 0x0ea97825, 0x6dfcfc01, 0x57374452,
+    0x3992b1e3, 0x0a517c63, 0x5343beee, 0x0df930b3, 0x53ae21a0, 0xc2760304, 0x4b66c9fc, 0x82cc8578,
+    0xc03f7682, 0xc0f1dbb1, 0xd5aed646, 0x0b3f4629, 0xca20e5fb, 0x250109db, 0xb5db347c, 0xf1eeb276,
+    0x73c482aa, 0xc33767a1, 0xf7b3b090, 0xa8fc9fbf, 0xc50e40e3, 0x657065fe, 0x4c0cc0f2, 0xe628e3e0,
+    0x0c0506ce, 0xa4134635, 0xdc7f9a8b, 0x1e392bc5, 0xf493b993, 0xe4625271, 0xe4850e56, 0x310379f3,
+    0xfd6a4d3d, 0x2f49b6d2, 0x410430c6, 0x7494bac8, 0x2904a8d7, 0x741f5f6f, 0xe3cff08f, 0x395908f1,
+    0x4dad7d93, 0x9ad26c55, 0xa2afbe0d, 0x8ca9734e, 0x58ea3987, 0xeee82f32, 0x5099c169, 0xc81608fb,
+    0x2efbaaf1, 0xa4c2392c, 0xb67f79c2, 0x3a6b2e22, 0x75426c37, 0x7a46ea7a, 0xf432141c, 0xa8b3d87b,
+    0x667208ff, 0x69267140, 0xd969a524, 0x43e99a62, 0x97171103, 0x052076ef, 0x8680b064, 0x2c7055b4,
+    0xe9a84340, 0x4506df72, 0x0976f316, 0x69d9076b, 0x658f30e4, 0x999c3f49, 0x2dcea1d6, 0x5746ac53,
+    0x6176137d, 0x57ead836, 0xa85db278, 0x7b8783d7, 0x2b27f0d0, 0x97943cc2, 0x7564f447, 0xf3034b88,
+    0xdca47e11, 0x3793b913, 0xf219bf3a, 0xc0462e7d, 0x2e6786fd, 0x2f6f69a3, 0x4f5a5ea4, 0x26193ff5,
+    0xcae99ae1, 0x76ec8525, 0xede1bc55, 0x37d2a8a0, 0x9c824fdd, 0xba856d12, 0x2d35b180, 0x43ea96ca,
+    0x1cf44326, 0xb7c6fa19, 0x3c3640a4, 0x86d16110, 0x784121fe, 0x904d080e, 0x21f77118, 0x036dffcf,
+    0x19f423f1, 0x8351c906, 0x8cd8ea9b, 0x90ac8f7f, 0x3fe41151, 0x31bf041d, 0xd5fb30a0, 0x5be9cdd5,
+    0xf29f0368, 0x23bbcf74, 0xf474f92a, 0x803293f6, 0xf0e48582, 0xfdc96a7d, 0x94fc984a, 0x8b1d03bd,
+    0xf2ee5bf8, 0x3485651c, 0x8322007c, 0xe3b06d72, 0x034b3a29, 0x728f1014, 0xc01e45d7, 0x4dc53c2b,
+    0x7efdf454, 0x268c6cdc, 0xe32f9213, 0xcd28ce8f, 0xa53ee6ab, 0x3d40c3af, 0x795f02f9, 0x45f836eb,
+    0x3acaff28, 0x6eba4303, 0x259daa8a, 0x2bbb444d, 0x22d784a8, 0xaad1d30a, 0x72abfc54, 0x2ac24610,
+    0xb18c95d1, 0x0eba7601, 0xcd4fa80b, 0x18120daa, 0x6a1e3fa2, 0xd54c8ea0, 0xd76a6c54, 0x9a73aa3f,
+    0x2dab8b68, 0x383bdb73, 0xa5222a86, 0x100cefe2, 0x0400cc98, 0x0425596d, 0x00c6a3fb, 0xeafcef18,
+    0x890d114a, 0xe72ef34e, 0xf74e2b8a, 0x40f037bb, 0x60d769d4, 0x917c5c54, 0xcb5aa2c0, 0x088195e0,
+    0x703bf709, 0xce08ce4e, 0xd74faf7f, 0x71189991, 0x4671d66f, 0xbb4b881f, 0xf920561f, 0x278e1858,
+    0x3f58a050, 0x926252ab, 0x864ad6b9, 0xae62c583, 0x8b2f9343, 0xeab515e2, 0x0e5e515a, 0x4c6ca448,
+    0xd3b85dc5, 0x926c0b29, 0x3e2b3232, 0xbb361320, 0xe8f0b340, 0x0e7bf894, 0x8c3717dd, 0x624db068,
+    0x4601df13, 0x3eda6ca2, 0x390c8b61, 0x2131e0ac, 0x78d18fbb, 0x85b5197a, 0xfcd54d04, 0xa5ff86d0,
+    0x0bb4336c, 0x94962f36, 0x2732effc, 0x31c91e38, 0x8fbc781d, 0xf80e2250, 0x74fbbc38, 0x936dbd8f,
+    0xb6fd8000, 0x3652f874, 0xfc87da68, 0x6f694f1b, 0x0ef7dc6f, 0xf977370b, 0xa6d07853, 0xb604a418,
+    0xdf30249b, 0x7c7eaf34, 0x76f3a662, 0x7624282a, 0x6f2d6986, 0xb9ea574f, 0xf34e4acb, 0x056b90d8,
+    0x93886b4b, 0xefd4cd4e, 0x0968af22, 0xbac76fbc, 0xe7321bd8, 0x8d17e7fe, 0x2249dc2a, 0xe09ba1cb,
+    0x6fb3e0a8, 0x7bbba28c, 0x8bb5d8d9, 0x91cc1b4a, 0xd2920f7c, 0x1adde12d, 0xabdbd69b, 0x28bbe954,
+    0x88237f0f, 0x7a1b741e, 0xacedca14, 0x0f8e90de, 0x782a8ba2, 0x2d396f9e, 0x4dc59b12, 0x811026b7,
+    0x3d88ce55, 0x0135b6a3, 0xc91d1203, 0x0948d013, 0xc62b0300, 0x9e60d9f5, 0xcc674df5, 0xcd01484f,
+    0x92c5447d, 0xa5c4225d, 0x0e6c4536, 0x0b40fd9b, 0x706fe501, 0x08eabf12, 0x793e9ff0, 0x6799779f,
+    0xbf961357, 0xc456707e, 0x1e4ba472, 0xb960707a, 0x830e87cb, 0x4e0bc71b, 0x17289cd9, 0xce5559e0,
+    0x46019b51, 0xf7911d79, 0xbea04690, 0x13f613fa, 0xecb9ff30, 0x7fa2f906, 0x7f61fbdf, 0x98a7dc3e,
+    0xf43d76c1, 0xc04924c2, 0xf59d2b9b, 0xb8524dfb, 0x16c0a8fd, 0xe28c17c2, 0xa5fce16b, 0x21d384d5,
+    0xe319d97b, 0x359ebe04, 0x761e3b6d, 0x31863c04, 0xd9a31948, 0x6355797e, 0xe0906a8e, 0xccbf7543,
+    0x3b86a9c5, 0xb33ca20b, 0xe7ef9de8, 0xd4e27d31, 0xf91ebe93, 0x31580cf7, 0xa9648ff5, 0x8a710fbb,
+    0x4ecfe03e, 0x8d3aa67d, 0xaf87843e, 0xd9a27eef, 0xaea4f594, 0x1e902307, 0x1c46b2b0, 0x1e95d2f8,
+    0xb32b4785, 0x27456a95, 0x01854572, 0xc038a90f, 0xf2dc32ca, 0x5c29cb7e, 0x8c9d5bde, 0xe1d92373,
+    0x577f84f0, 0xec31a6e3, 0x2c46816a, 0x579f7ec5, 0xfe0b55d4, 0xb2c53a94, 0x4be87589, 0xa2876194,
+    0xd66ad000, 0x1f017d23, 0x8d3d0bf5, 0x5aac2058, 0xde8df0c4, 0x8f7550b7, 0xd59d6301, 0x4ea95d4a,
+    0xe4ac3164, 0xed4864b9, 0x3934bbe4, 0x446b5523, 0xd67af6aa, 0x380d771e, 0x99ae2bad, 0x95295799,
+    0x5ab9bec4, 0x9f474567, 0xccf0f47a, 0xd3df942b, 0x36a03f21, 0xd0a02166, 0xffbd5863, 0xeae4bda9,
+    0x2cb98f70, 0xfd5bbe98, 0xcf86e318, 0xb7f4f37c, 0xdcdf025b, 0x135b387a, 0x7eedd642, 0x4d020152,
+    0x7e7ddf0d, 0xc2b30af6, 0xa5c972ec, 0x64d35dd7, 0xcb3281c6, 0x9987b6d6, 0xa42e04b2, 0xf60b222f,
+    0x9f5ebd9c, 0x905a300d, 0x60a64e82, 0xb7a179f9, 0x4fb23fdf, 0x33147726, 0xe9d254b2, 0x1c572896,
+    0xbb64ae86, 0xe24caef4, 0xc942361d, 0x1cd7f24a, 0x3a17f16d, 0x4dc298a8, 0xd2b3083f, 0x3d242b85,
+    0xdb886b18, 0x139fca0d, 0xb83014c5, 0x31ca6639, 0xec4a0e79, 0x600aad21, 0x60da13cb, 0xfdec8b41,
+    0xb19578d5, 0xb8256f78, 0x5dbb6f22, 0x4157a760, 0x06f98c41, 0x1391f863, 0x7f0eaf6b, 0x8290c7ba,
+    0xd1ba3294, 0xed3354ae, 0xef067f40, 0x27ac6047, 0xd9877c4f, 0x310d1bde, 0xe6f889d2, 0x1f98bda7,
+    0x86897c99, 0xa7861565, 0xcdb90e3a, 0x715bc2f0, 0x0a8aaac6, 0x31159bf7, 0x3725943c, 0x3f7fab30,
+    0xd63beea4, 0x7824101d, 0xa9d6bd29, 0xcb346f25, 0x03db1861, 0xbc576bf2, 0x2a343a7f, 0xbee57522,
+    0x5023d914, 0x713ef98a, 0xebaecb4d, 0x6fc04446, 0x73611fa3, 0xa91f2084, 0x6da88115, 0xd0203ec0,
+    0x193bdeb0, 0x5a062642, 0xa23e03ee, 0x27f4fe86, 0x55055642, 0x06db7c95, 0xf18b1cc1, 0x56398310,
+    0xf0805d2e, 0x88da5cbe, 0x3288aebd, 0xa5519dfe, 0x34bbdb05, 0xe83fee94, 0xdb167216, 0xd70749fb,
+    0xbd5e53cf, 0x957295f0, 0xf158f4a9, 0x66520469, 0x10db21a9, 0x2ad609ea, 0xacfbee87, 0x47e73ae8,
+    0x1a78c3e0, 0xd0707e34, 0x846849eb, 0x63fd8985, 0xe93670dc, 0x75664848, 0x973280da, 0x0863eb3f,
+    0x5141e630, 0x0dc402f3, 0xba82783a, 0xb451050a, 0xc01ff60d, 0x3b15f09c, 0x0416eb65, 0xb05b4f0b,
+    0x14d332a2, 0x84235486, 0x295a21cc, 0xf0c0a9c6, 0xa49e68ba, 0xc9f85ead, 0xc679df92, 0x168c2d3e,
+    0x7ba4bccd, 0xbe99b97b, 0x3398e664, 0x64dc1b00, 0xaa1bfb61, 0x2bfa7534, 0x647d86fc, 0x90f392d1,
+    0xb49c3f5f, 0xe7b24012, 0x499673db, 0x10a3f5b9, 0xb4e919b0, 0x9e144b51, 0xdad37a46, 0x52cc0d5e,
+    0x4e6b75f0, 0xc4e2611d, 0x37cc2355, 0xfc361695, 0x9859cdf5, 0x2829f4f8, 0xc5c87ef5, 0xf17a7749,
+    0x015feb31, 0x0db78b97, 0x44b24138, 0xe9f3ca14, 0x1700d3b5, 0x4dfeff01, 0xdbcf387c, 0xc02724a6,
+    0xf211fc24, 0x46c7457a, 0x792a004e, 0x69e4d5a4, 0xcf1e81ee, 0x266d6366, 0xed6d0f67, 0x7d4a8e47,
+    0x9a761732, 0xcc530550, 0x89f2196e, 0xaf466e1b, 0xd33eba68, 0x43ed440f, 0x1558430a, 0x93c15760,
+    0x27e82ebf, 0x21b135ae, 0x61d52904, 0xac71df26, 0x4a8d4f4b, 0xe9001937, 0x2114f692, 0x48e7c63f,
+    0x6f6b6fdd, 0x444f6940, 0x5744fcf9, 0x96ca9ff2, 0xd771d3f6, 0x0a1ec0c7, 0xa7653e10, 0xde0335a6,
+    0xdb0ca3d7, 0xd16d8faa, 0xf0c7d8d1, 0xfa07afc7, 0x388072c3, 0xc881c822, 0x17003670, 0xd0d67c47,
+    0x5d6072c7, 0x7b05c091, 0x5ff2494d, 0x7a37ffd6, 0x315fa4bd, 0xf4971043, 0xe7e224a7, 0x42702d54,
+    0x2771cd49, 0x4213042e, 0xaa5096ff, 0x88e8227b, 0x729d5d30, 0x0b248adf, 0x66e12eba, 0xbaa9d00c,
+    0xfa6e3426, 0xaa2ebafa, 0x93d77f9a, 0xaed3acf5, 0xe2efef70, 0x59712189, 0x4aee10bb, 0xa90804f6,
+    0xb756dbdb, 0x6626a927, 0x9e72067a, 0x0306ec3f, 0xfa93b0e9, 0x04e85ca4, 0x6d16ab5c, 0xe36b0ef2,
+    0x9fcc5f66, 0x31b7a320, 0x46f7dd23, 0xbafbcf2f, 0xc0f09e89, 0x828fcb09, 0xcd9a54eb, 0xad15a3db,
+    0xe113b0cb, 0x4dcfbd78, 0x95e5ffc5, 0x4480df1d, 0x261855d7, 0xe516c2a6, 0x2f0ddc01, 0xa43ef06b,
+    0xc9457f2f, 0x99d8137a, 0xcc3546ee, 0x58afe54c, 0x9f707cb6, 0x6fa5d1de, 0x6faa75f9, 0xb6e3a970,
+    0x8fe8b63f, 0x141385c9, 0xf5484b57, 0xe85400bf, 0x6b6e57cb, 0xef588dc9, 0x99bc72f7, 0xa903808a,
+    0x00000000,
+    0x2a67f8b0, 0x2402b2e5, 0xeb0a1af7, 0x55b1d685, 0x9d1f125f, 0xef4eea8f, 0xce833287, 0x404173c2,
+    0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x40000000,
+    0x00000000 }, /* 10**00000000000015242912843339805817292955223599444852288076868481304447554477341\
+                         92076044345588681699368214386470689042884243711624327585667956874652483059712 */
+  { 0x00000000,
+    0xd642384c, 0xe4d6a391, 0x5a86498e, 0xbf51c8ea, 0x838dbed5, 0x51614f01, 0x62852ac5, 0x8dd4a7ea,
+    0x2830fd92, 0x41f13711, 0x4beba526, 0x646d62cb, 0xcf06aa50, 0x1f4d6b10, 0x673e2471, 0x4334c066,
+    0x0fbdd45b, 0x7499bc46, 0xe0660ede, 0x54e3d666, 0x1e4a95a4, 0x0d4c56e4, 0x1c857f04, 0x78265147,
+    0x7395be33, 0x70a5110a, 0x61c99eaa, 0x25957c3f, 0x5e0df424, 0x3a520c00, 0xd9cef2d9, 0xa57f8041,
+    0x3c764d23, 0x656ce7cb, 0x6344f558, 0x0de10f7d, 0xb53eb09f, 0xe4852171, 0x5bd81189, 0x660628cb,
+    0x19aebf52, 0xfc0ab66f, 0x5ebdbebc, 0x246559c2, 0x8f34cb20, 0xcb2cb4cf, 0xa174e99a, 0xc0ed9450,
+    0xbe92372e, 0x1a60ee20, 0x230d03b4, 0x3679e92d, 0xd2d91880, 0x08a5a84b, 0xc9c79537, 0xb8e4c047,
+    0xc6f21420, 0xcef9d67f, 0x395f0747, 0x6766e8e7, 0x84e53c9d, 0x59db4188, 0x83c93621, 0x34e08ddf,
+    0xc49920c7, 0x5a726b37, 0xc0003b77, 0xd297d896, 0x7c77868a, 0x8ba7ac8a, 0x10975221, 0xb10e137a,
+    0x05f8a1a5, 0x92cdc329, 0x87937d47, 0x7633411f, 0x9a2f892e, 0xe9bb88f1, 0xb9f6ab63, 0x819b9107,
+    0xe6e5995e, 0x1cdd5a78, 0xa8d07e25, 0x0a20a638, 0x8846e5bb, 0x9aea6031, 0x01a24942, 0xac79cc59,
+    0xe4ce58b1, 0xd9394ad8, 0xef7cdbd4, 0x33f7bcff, 0xef615bea, 0xa5ab864d, 0x2b62a2cc, 0x40e6f44b,
+    0xda95e74e, 0xf01e9053, 0xa62cd085, 0x84f18471, 0x7a9e98e1, 0x17a42968, 0x0efeddf5, 0x8e016089,
+    0x5e744fa4, 0x8a49803a, 0x5c6a73f0, 0x8789e134, 0xf8239300, 0xca1bf511, 0x4cd46ff0, 0x637ebe36,
+    0xba024b34, 0xd219d965, 0x6eba441c, 0xf66de999, 0x4c66e73a, 0xb08ad162, 0x5cf51fda, 0xe174e680,
+    0x464f4753, 0xf813f9ae, 0xfb09d31f, 0x7031a446, 0x1d7cf4e0, 0x7bc372d1, 0x343c391b, 0x4b999329,
+    0xf5d3092a, 0x09cc4e97, 0x2b877f66, 0x717f2571, 0xbb0535cc, 0x78c87446, 0x64a34cb5, 0x76c483e3,
+    0x1d2375f6, 0xfe96a2fd, 0x758d4cef, 0x41dde91e, 0xee23ab83, 0x04fe7a5e, 0xc2f04036, 0x27472606,
+    0xb707b414, 0x51935e19, 0x40a6acb1, 0x9c5675a1, 0x3fe16471, 0xe0084c57, 0x569bed1a, 0x18d49da6,
+    0xc6cc864b, 0x0aa2e058, 0x248ae51f, 0x025c24c6, 0x6c4cd780, 0x26ec25cb, 0x61945aeb, 0x3f1c7f94,
+    0x59b6d4c4, 0x5e650378, 0x97d51333, 0x1dec2cc9, 0x62360bf0, 0x92c6c5eb, 0x425ce500, 0x1e0693af,
+    0xdcbde7d6, 0x119868bd, 0x1cf5d883, 0x325ec346, 0x4ecf32eb, 0x60693855, 0x4fa8fa23, 0x9ecc57d9,
+    0x9687ba96, 0xa95a721b, 0x02172d30, 0xc1add97b, 0x54228e56, 0xbebd3f5b, 0x6f4cb53c, 0xfc2f5c2d,
+    0x228e08d6, 0xfc0e9c59, 0x1b0b07b2, 0x01b36aad, 0x5024fc53, 0xd7eefa9a, 0xcc19c552, 0x7a659d1e,
+    0x6bdf6212, 0x53347905, 0xd4133cbb, 0x3c6f6a55, 0x99ea11b7, 0x200097c8, 0x7615b0f4, 0xa7ba34b7,
+    0x3e583c9b, 0xcbc8b6f8, 0x9fcad52d, 0xae2895de, 0x199ed320, 0xfc2001f8, 0x515e2601, 0x95460951,
+    0xe50d6693, 0x0acf691e, 0x545b5e3b, 0xbc1103ea, 0x909e1189, 0xd41943c3, 0x23c7220b, 0xc1e7b1e3,
+    0x4df97542, 0x4b151971, 0x11158c8f, 0x12463d99, 0x6e79328b, 0x79fe58a0, 0x1cb79ae9, 0xa8416ed9,
+    0x08a8d666, 0x3318c5b6, 0x58df6e49, 0xc3d85943, 0x9d41f98f, 0xc83649eb, 0xd83be376, 0xbf72660e,
+    0x02e090e8, 0xefc488eb, 0xefd7183e, 0xfa6fefa0, 0x86dc226c, 0x8f29cef4, 0x1accf0fd, 0x1371842d,
+    0x5da5e02c, 0x0e4f464f, 0xe912ecb1, 0x3c7ec443, 0x51764f42, 0xf2987215, 0xda652252, 0xaf78cb83,
+    0xc958f36d, 0x4fe2474e, 0x4745b3dd, 0x369dbe68, 0x3a699137, 0x8c078301, 0x6c7482ba, 0x2bcda94b,
+    0x3ae482dd, 0x1db3f138, 0x664dbf57, 0x073bae86, 0xa661bb0d, 0x8709ce07, 0xd5235387, 0xee726a70,
+    0x53fdc354, 0x815e3c1e, 0x9c8cfb52, 0x6fdb05bc, 0xdad359da, 0x7cd90592, 0xe5a9bb43, 0x1532046c,
+    0xe6468eb6, 0x5f5bd290, 0x369be00f, 0x33c5f401, 0x21428cff, 0x9542d15a, 0xea0f9aa0, 0x820f317f,
+    0x4d443ddb, 0x37f894d5, 0xde3450a0, 0xafb57ba0, 0x8a688388, 0xeff4931f, 0xf79b3e65, 0x863c1463,
+    0xbb6084d7, 0x886e9e7f, 0x1fa1f037, 0xae43e019, 0x950fdb53, 0x25608c9e, 0x7a42163a, 0xf2dd83ec,
+    0x951f0965, 0xd398b133, 0x2166ad0d, 0xd525f8bf, 0xb5bd7c3b, 0xe1fe5220, 0xc0d3099f, 0xaee02379,
+    0xb332909d, 0x58cc909a, 0xe6f53ada, 0x31c116d3, 0x31936008, 0x0a3eafb8, 0x647ef0c7, 0x6154cf4a,
+    0xfc256efd, 0xbfe256c6, 0xd8d2c6a7, 0x71a10fb5, 0xafc64de2, 0xb33ffd2a, 0x1d3f2480, 0xf9d7ad63,
+    0xe8c07780, 0x7724e5f2, 0x98379320, 0x6eaf9dd8, 0xec9ba688, 0x5babcf3f, 0x37adf71e, 0x3fbb8dad,
+    0x318119bf, 0x0b6c69e8, 0x58020c1e, 0x5d44ddd6, 0x305a7ec3, 0xb57b8a01, 0x5ec73ba5, 0xc6f15ef7,
+    0xf4e299a6, 0x0ecc4190, 0xe9bf04f7, 0x468f921a, 0x153a6e4b, 0x7eec7eee, 0x1986f025, 0x27bb634d,
+    0x34c6b34a, 0x9e8b7e5d, 0x25a933fb, 0xf50b4df5, 0xa0d468f0, 0x80f99c33, 0x996b8cbe, 0x38199ff6,
+    0x3cd55317, 0x55143bfa, 0xf1a88e59, 0x8d5cf68f, 0xee3611c6, 0x915ea60b, 0x04960847, 0x02ea4b71,
+    0x9c4c1716, 0xbabc8ea7, 0x898b8e60, 0xa9420b02, 0x5b1d8860, 0x287bb13d, 0x654e5fed, 0xb5059350,
+    0x2d88784b, 0xd46992c1, 0xc68d4a10, 0x1ffed508, 0x6331d471, 0x79f228a6, 0x5cb300dc, 0x96052ce5,
+    0x1b02764b, 0x74e34e81, 0x3ee46782, 0xaebfeaad, 0x9a68ecf6, 0x00c4ed60, 0x2ce73208, 0xb7333dd4,
+    0xa18048ff, 0x380f39b6, 0xd5227c70, 0xb450b4fd, 0x5753ead0, 0xc56866c3, 0x89bb94fb, 0xad742916,
+    0x4ca54583, 0xdaf83bd4, 0xc647c548, 0x09a13f87, 0x5370a52d, 0x05ad6b90, 0x7a9f11a4, 0x4e96d6d5,
+    0xfffef3f7, 0x62dc7600, 0x30ba838d, 0x315c2087, 0x79f5a521, 0x2d62c9c2, 0xec5e717e, 0xa86851d2,
+    0x901cba4a, 0xdc592d6b, 0x465daebe, 0xe02aaba0, 0x4cea290d, 0xe6d820c8, 0xd9642c61, 0x08b8da22,
+    0x8d19aaa2, 0xd7acd527, 0x4ae15e38, 0x9674eea8, 0x57dddc9c, 0x8f32c147, 0xf7799b06, 0x92f8bb66,
+    0xbc87169d, 0x79d109e4, 0x44aa2aa0, 0x24c0494d, 0xb845a390, 0x03fd06f2, 0xc2f6fa2f, 0xec82168e,
+    0x6ff5315e, 0x0bed947e, 0xbfba4673, 0x71b319ad, 0xda98ec82, 0x68a76385, 0x7c905573, 0x9fc0c969,
+    0x6e4ec0d4, 0x4a455adb, 0xcab99828, 0x47f76ddc, 0x4134ecd3, 0x0a86f057, 0x8469c716, 0x3c2e5f22,
+    0xbd881e94, 0xb031128b, 0xbef519ca, 0xd9cb2832, 0x80cbc412, 0xd1a0bea0, 0xa99f8eed, 0x98408d82,
+    0x4c25d9fb, 0x9c570717, 0x93fa22af, 0x3428ef5a, 0xb16a7a19, 0x3dc4ff58, 0x03c85fc4, 0x42e5c14b,
+    0x9309810e, 0x9a703f3a, 0x728d6456, 0x1c79a9e2, 0x61760b0c, 0x0858eb3c, 0x3e511ca6, 0x1c1cd652,
+    0x82dcee5a, 0x563935f2, 0x6922c683, 0x0821ad3e, 0x64da6c5a, 0xe539046b, 0x3338fa56, 0x78a05ce4,
+    0x5121eb62, 0xf39b589e, 0x003fab8f, 0xe813a377, 0x5c85501d, 0x22cc7b52, 0x47bc6ebd, 0x4586ee3e,
+    0x1a35a4a1, 0x33cc3fe5, 0x4631d72e, 0xdce3101a, 0xf254e115, 0x3fa558da, 0x53dd979b, 0x4d6da0db,
+    0x484fdb75, 0x95da1fb5, 0xed5d1099, 0x722f0567, 0xb8af480a, 0x839c136f, 0x6ecdb17b, 0xc6f1e18a,
+    0xfcf2f28e, 0x976774d3, 0xb9f90807, 0xeec2773b, 0xf45c867c, 0x58be9f31, 0xe26dbf44, 0xec2fc1b6,
+    0x54a80687, 0xf0ed2515, 0x73b466c1, 0x956fd9d0, 0x5ef9c635, 0xd8a5d0d5, 0xa2cbe490, 0x21c3cb8b,
+    0xd4e56ee6, 0x753ab275, 0xcec31bb3, 0x9a45382f, 0x5394f8a2, 0x604adae2, 0x30c03c53, 0xb490b455,
+    0x986d5430, 0xb1955158, 0x88c65a7c, 0x727e5685, 0x041d9cae, 0x5bee3ebe, 0x4845ac96, 0x3bbeada1,
+    0x38f35764, 0x78c70469, 0x91e60020, 0x2870a937, 0xd86604d7, 0x061392eb, 0xca2c17a6, 0xe4337c82,
+    0x24bcb5c8, 0xb17ecac4, 0xa14e25e1, 0xd2eed1c4, 0xf2c70164, 0x462f3f21, 0xde5861d3, 0x09e85711,
+    0xda2178fb, 0xb6f2024b, 0x7d79843f, 0x8f84fe86, 0xe3117c9f, 0xf8459144, 0xa9ab1927, 0x4cfc90ad,
+    0x93098724, 0xe55a95ac, 0x362ed6a7, 0xab2c1789, 0x6567b307, 0x88057f55, 0xe67f8144, 0x794bb1bf,
+    0xf9278c20, 0x9a3ec7d1, 0x9986ec5f, 0xdf0539a3, 0x88e11d61, 0xb51b8d22, 0xbbbfef75, 0x00ab5be5,
+    0x96a6048f, 0x6f54a489, 0x1b4f7d44, 0x0e768dfd, 0x954c0466, 0xdf2eeead, 0xfb68566d, 0x2b6fe73d,
+    0x5250fd13, 0x4357045d, 0x648c4621, 0x111a1d6d, 0xee4943b7, 0xfe20e87b, 0x7548356c, 0xf6e8d259,
+    0xd178c800, 0x39364ca7, 0xa3e2a17e, 0x4b9aa5bd, 0x4a4a432f, 0x03a892a1, 0x634758a4, 0xdbf333fb,
+    0x695e454c, 0x65b37f96, 0x6deabad6, 0x96af84ab, 0x31d9cd5a, 0xec57b481, 0x951d4c30, 0x65918515,
+    0x94e15e14, 0xc7c9f84f, 0x705d3000, 0x018b7a1d, 0x8cd10e5c, 0x0e76f308, 0xbf63a8f5, 0x87d6d5d5,
+    0xe346a167, 0x44211693, 0x00823e02, 0xd2ac7f53, 0x3a35383e, 0xf61d32cd, 0xc0d810b5, 0xc1c5660a,
+    0x9a53f03e, 0x6b6726da, 0x093abc05, 0x39a2a0c0, 0x7287d7d6, 0x96ef20f1, 0xfdc85a31, 0x92752e05,
+    0xa89f2e07, 0x3f875426, 0x211c498a, 0x24e485a5, 0x5732cac3, 0xe87061ae, 0xdd420ed5, 0x6613d4ae,
+    0xaa4ce073, 0x17c92dcc, 0xd83ca4bb, 0x5c839954, 0x3e94ff41, 0xa0f8b90d, 0x4cf1a5ea, 0x4550e095,
+    0x724e54f1, 0x9d415a04, 0x4822f516, 0x91f0c436, 0x54734821, 0xf4e6269e, 0xdaf9760c, 0xded860bc,
+    0xb2d2ea01, 0xb007dada, 0x7f5d19e0, 0xf50ce1ef, 0x5cfd2d33, 0xebc264b9, 0xadf5f4a4, 0x152aee9e,
+    0xcb13e8bf, 0xaf3df48f, 0x3260c6d9, 0xb6b19c37, 0x4da119d1, 0x27bd4895, 0x6afb70d5, 0xe2d3e081,
+    0x23542ebe, 0xc48db549, 0x3bddea88, 0x6907cadd, 0xb8dfc664, 0x7024f6d3, 0xbfad6767, 0x668b5751,
+    0xfaf4eb70, 0x34406b88, 0x4c38ac4f, 0x3d7df824, 0xe2390062, 0x0e0ef59d, 0x5875af42, 0x09f3b876,
+    0xfbb754cd, 0x7c7acb0f, 0xd854cf88, 0xae3d879c, 0xf7b902e4, 0xc12d7800, 0x1ca0d1eb, 0x195404ea,
+    0xd44b6416, 0x6b11d8b5, 0x1197fbf6, 0x7cd95bd1, 0xbc17ee47, 0xcacd9012, 0xbb667881, 0xf8db3ee5,
+    0xafd996c6, 0x10cb10e1, 0xcd16a77d, 0x4ddad6cb, 0x6d2f3652, 0xfe792b72, 0x13729d55, 0x77eaae75,
+    0x7e7d73d0, 0x77d70f96, 0x0c219845, 0x732a238f, 0xcb8d2f3d, 0xc0083b72, 0xb84d6608, 0xc717b6a2,
+    0x40c9f02e, 0x3a285c83, 0xbebadb6e, 0x7d25f6e2, 0x10cf32d8, 0xb8bb6a31, 0xf0982b25, 0x55daee00,
+    0x72da872e, 0xd335c4e8, 0x51a789f8, 0x1aacfbe1, 0xa52f5d87, 0x39b883b2, 0xaed24aa4, 0x7f16f5be,
+    0xf002a614, 0x9ae8f95a, 0xba1fe4da, 0x906a34c7, 0xe8adc0a5, 0x741787cf, 0xd5b168aa, 0xc0117718,
+    0xd0aadfb8, 0x3d17d000, 0xaec03b90, 0x66a03067, 0x241eedca, 0xb14aabc5, 0x37e62af8, 0xe1886761,
+    0xa1bbf3cd, 0x8452e3d9, 0x3718b474, 0xe2353163, 0x35b30ba2, 0x43a5b92c, 0x7497fcb4, 0x0f803709,
+    0xc282dab8, 0x62fe2ff3, 0xf0aa10f1, 0xecf2f725, 0x31cbd69c, 0x2f572337, 0x69ae05e9, 0x3f72e407,
+    0x8e44b1a7, 0x5303d4a3, 0x26c30896, 0x2a1312d6, 0xe678fb07, 0xdb92da0d, 0xe95bb107, 0xd8ad7265,
+    0xdf484bc7, 0x218426fb, 0x6d079630, 0x56470165, 0xd97fc70e, 0x545dfd61, 0x795a7ec0, 0x91bfedb2,
+    0x72d5ab16, 0x5d1d17e9, 0xcfbc98ad, 0x06d63b36, 0x7910c56a, 0x4ed6d250, 0x8195156a, 0xe7a02079,
+    0x730d9d17, 0x997df021, 0xe32d2555, 0xa8bba879, 0x97c42c3b, 0xb79e64e3, 0x4a606730, 0x8e498e5f,
+    0x56d30ebd, 0x8819726f, 0x946f69ad, 0x957d30e1, 0x4430b5e5, 0x3eee6bb6, 0x7236ebd7, 0xd01921d4,
+    0x8f9380bb, 0x4013f1c1, 0xc98dd6c0, 0x3c3d3efa, 0xfbbab0e1, 0xd9dffe0c, 0x4d7db809, 0x8c6a2bb0,
+    0x7d92c47e, 0xb049d7d6, 0x80178e0e, 0x75a9cace, 0x9a9a1698, 0xd8b9c9ff, 0xc11f9165, 0xf6c92bea,
+    0xa9da7021, 0xdac1a5fe, 0x7dd869f2, 0x3d5ece72, 0x48a1e12b, 0xbc110154, 0x15a2318c, 0xe8d50fe3,
+    0x3b498f24, 0xc97c14d3, 0x6b6da4c0, 0x5b815abc, 0x3fe4960d, 0xec3be5c0, 0x82493230, 0xd8172452,
+    0xb2d348e3, 0x20ab38b1, 0xba157942, 0xb75ee905, 0x25789f45, 0xd17a6c04, 0xa903c8a2, 0x8f237dba,
+    0x5e31423f, 0x548417ff, 0xad1118e5, 0xc50f16cf, 0x8b2aa16b, 0x6fb6ecd7, 0x7d00c472, 0x75b3c297,
+    0x14388411, 0x830b1db0, 0x1720684f, 0xee7b04f4, 0x4548d0ad, 0xf25db0f6, 0x87b141b5, 0x1b6d5bf2,
+    0x3562f882, 0x235007a1, 0xe4b0b033, 0xcaa4ad27, 0xf81a11c8, 0xf40f324b, 0x12b239d7, 0x4ea9dcec,
+    0xc27b3f9c, 0x0549be55, 0xc6830b79, 0x29469e62, 0x229e10a9, 0x2f15f8f3, 0x135d684c, 0xdfbd3f60,
+    0x8cbdc239, 0x35be7039, 0xc8961d86, 0x0a6f9730, 0xe20df9fc, 0x14ff887c, 0x75503ee3, 0x6d977ce1,
+    0xe9658ab7, 0x936eaf80, 0x0bf27bd1, 0xc4986a11, 0x89611ffa, 0x55fa7336, 0xbf546229, 0xd5e75570,
+    0x4b0c14ae, 0x6241a519, 0x7345a6d7, 0xbe852ddf, 0x5053432b, 0x35d59e14, 0x7236f010, 0xa398ba87,
+    0x7de2246f, 0x7d593029, 0x0a698040, 0xfb92087d, 0xa9b77f40, 0xab002949, 0xc8cfd549, 0x1ca4657a,
+    0x25bca2b8, 0x5c09d2d6, 0x770e63af, 0x4e07aa1d, 0x90918b44, 0xb10e0a8a, 0x7b3878bd, 0x32be42cf,
+    0x82c9faec, 0xaaa61f57, 0x7721e995, 0xe78d7da5, 0xcf9445fe, 0x5fcd8ae2, 0x5a9d31f9, 0x1eb5462b,
+    0x9c67d60a, 0x966e7eb0, 0x55c4a16b, 0x7a45beac, 0x9d2746d5, 0x8893ceae, 0xe6a2b912, 0x6b742334,
+    0x017d6ec7, 0x85d016e9, 0x2af2b210, 0x53d2bf6c, 0xef469a1a, 0x7cbc55e3, 0x282528c5, 0x87144412,
+    0x7e7661cb, 0x67ab7a1f, 0xcb9a4257, 0x3d4e0b48, 0xdf375daa, 0xe8a45978, 0xbf8aa4b4, 0xa933e211,
+    0xe1b3d935, 0xde212dbd, 0x058fc610, 0x41c9d6dc, 0x0bff1109, 0x74ce2948, 0x4a7bd7ce, 0xaf951df8,
+    0xac11c240, 0xd183975b, 0xbecb3864, 0x5b8dc04a, 0x60af2a26, 0x9483a84e, 0xabc45745, 0xe717f37a,
+    0x82993e71, 0xbf50a392, 0xe8b9bec9, 0xe7f4aa69, 0x68aa6147, 0xd36bcbcb, 0x26281a02, 0xa41e9dd6,
+    0x6e0d8832, 0x9e40ffd8, 0x995bf269, 0x2826dcd3, 0x4ea168af, 0xf09235f9, 0x9806e89a, 0x554ae8dc,
+    0x9e19ef5c, 0xdc096517, 0x6871bc58, 0x61802336, 0xd4f7e683, 0xcb0fc100, 0x82aae736, 0x531299c5,
+    0xf828c822, 0x7ec1cf91, 0xbb708cc0, 0xf0888006, 0xc5f48a9c, 0x47ef25e1, 0x5fc51878, 0xf9b1c74b,
+    0x3f495478, 0xf25e69db, 0x16cc6862, 0x9499e185, 0x92ad261e, 0x5739f6ba, 0xe5629d5c, 0xd00227b4,
+    0x00000000,
+    0x9533fc57, 0x92015972, 0xf5850d7b, 0xaad8eb42, 0xce8f892f, 0xf7a77547, 0x67419943, 0x2020b9e1,
+    0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x40000000,
+    0x00000000 }, /* 10**00000000000007621456421669902908646477611799722426144038434240652223777238670\
+                         96038022172794340849684107193235344521442121855812163792833978437326241529856 */
+  { 0x00000000,
+    0xcdf5ecc5, 0xd864ede1, 0x1683f6d3, 0x8b94ee9c, 0x6987d16a, 0x5f3cea97, 0x4e875e82, 0x4b2b8f0c,
+    0xd1bed340, 0x8a479360, 0x3c2a28d1, 0x8a6b283d, 0x64d1a31a, 0x32b5624f, 0x7d670823, 0x0d6e56e2,
+    0xccb1423c, 0xc1508f3b, 0x2bcf2b47, 0x42148b68, 0x11e80250, 0xe2c081cb, 0xb5d7b6dc, 0xfee6f942,
+    0x7c4b29f7, 0x49c7dccf, 0x352660a7, 0x4e58eff7, 0x163cb46e, 0x3ccd7463, 0xac30d085, 0xf352ad0f,
+    0x0561c77d, 0xa1fc7066, 0x84325ea0, 0x88542dda, 0x9ff92358, 0x8a154ef7, 0x251f1ed1, 0x95e2c10a,
+    0x25d1a097, 0x54f16872, 0x9ab442f3, 0xa0eac209, 0x3829dee4, 0x2b7bb12d, 0x303d57f8, 0x51e02453,
+    0x1499fa2c, 0xc44620e8, 0x576274ff, 0x07036dd3, 0xbc428826, 0xd1f813c2, 0x8a20ec05, 0x08db544e,
+    0x470c4a66, 0x76969cc5, 0x33d807b6, 0x347b7e6a, 0xba3a4b14, 0xe5fe4a6f, 0xca061f3a, 0xd2c23ca5,
+    0xb6ef6e81, 0x732b5745, 0x3afda142, 0x0ab61c61, 0x177d9864, 0xa65e2e10, 0xdfd83536, 0x75ac0cd4,
+    0xe8cd3290, 0xf67cdef2, 0x49db0573, 0xf64158cf, 0xd93651c1, 0x3b145514, 0xf5323c0c, 0x90dfcde8,
+    0xb436f789, 0x30c4ee13, 0x128c0cd4, 0x4d8e7438, 0x6381f1a8, 0xbc50e817, 0x5da6141b, 0x1cb5deab,
+    0xd54815ad, 0xff57cbc4, 0x16bf0f3d, 0xaa671557, 0x67f234b5, 0x661d1682, 0x946adc54, 0x3182b893,
+    0x4103a750, 0x8bfb9d32, 0x4904a0c9, 0xd6f08124, 0xf364a4ce, 0x446d5029, 0x2657acb2, 0x19bcfdf4,
+    0xc2c6e5db, 0x2c872c49, 0x074bbfd3, 0xc739f033, 0x83a41b9e, 0x73087c13, 0x3343374d, 0xfc29ca5d,
+    0x91097ba7, 0x20234b3a, 0xeb7abcb9, 0xcb5e56bf, 0x9b742a61, 0xefb8b152, 0x17c88f6c, 0x20eec9f7,
+    0x99c7ef6c, 0xc9c5bb7f, 0x780f8a03, 0x832c4411, 0x7de1f6e4, 0xe7cae441, 0xc7067d3f, 0xd790b266,
+    0xb2db594e, 0x58f90006, 0x4946080a, 0x25676b4a, 0xc7177d79, 0xd237ecaa, 0xe816c630, 0x772126b8,
+    0xfc8f854e, 0xdc7b5f96, 0xf6d5b634, 0x4d29a356, 0xd18cc66f, 0xe3c26a14, 0x1f5aa767, 0xec3e4d50,
+    0x707623eb, 0xecfa516f, 0x3db4e683, 0xcf5bfeb4, 0x5449685e, 0xfd9f1889, 0xcf58fcdf, 0xdef9fe0c,
+    0x018b9fb6, 0x103b7778, 0x79264fc4, 0x004b5d86, 0x84f47062, 0x7c665949, 0x03b931d3, 0xbe87dae7,
+    0x57bdf906, 0xfe22318f, 0x0c7cc118, 0x286e0272, 0xdf8fe8bd, 0x18d0774d, 0x815b8846, 0x3bc93642,
+    0x913b1686, 0xde52998b, 0x1ab64c53, 0xa92e5840, 0xd27e2385, 0x65426849, 0x92749498, 0x2785edff,
+    0x56c5ed48, 0x37ff7849, 0xe156cf16, 0xa28056d7, 0x48f46c1a, 0x83a5989f, 0x8ab1cfcf, 0x63460392,
+    0xe8ec56de, 0x1986dfcd, 0x2cf8fe22, 0xf871a7a7, 0xaa3215c5, 0x22b4ce56, 0xe0bed89a, 0x7d13c332,
+    0x7d7227d4, 0x5f08702c, 0x0ab6359e, 0x1935387e, 0xaa7d80db, 0x4de2966e, 0x1180d6d8, 0x2c62bf68,
+    0x9119a6a6, 0xeb7dc017, 0xb0985da0, 0x994ab253, 0xb4e1a6cd, 0xceb7dd26, 0xece8ba81, 0xb3c454e1,
+    0xf589a66e, 0xb05e10c0, 0x018d3d17, 0x3753e157, 0xe02e2fbc, 0x79c0fe8c, 0xd203ba3c, 0x79bd7c47,
+    0x8ba4564c, 0x539f2576, 0x78fd042e, 0x42f6f986, 0xe4b3708a, 0x48b24ee1, 0xe7820d40, 0xbd55ff4c,
+    0x9bff634c, 0x91e64456, 0xb46a5d4e, 0x843c9c71, 0xca61a19e, 0x05e6d263, 0xa456675f, 0x6d8cbcbc,
+    0x30095f2c, 0x159771a8, 0xefd4e28a, 0x03a3d929, 0xf62f490d, 0x04fc48dd, 0x68a7bc2d, 0xee2fad7c,
+    0x53df3587, 0x32aacc0b, 0xe75dad33, 0xee688df8, 0x34e9f373, 0xc71b34e7, 0x363cf169, 0xfbfe7309,
+    0x003cc852, 0xf23eda0d, 0x6d1bbd2a, 0x5e794c02, 0x681daccd, 0x0a534f4c, 0x1574584e, 0x29c469cf,
+    0x4eaaf090, 0x10049a37, 0x3abb7f4e, 0x65ab7da1, 0x08b0cfc9, 0xca00267a, 0x2a4465da, 0xac399e1f,
+    0xec0de4ed, 0x1a792e5b, 0x61c7a336, 0xee93715e, 0xdd65a1b0, 0x077b6ca3, 0xf0c4658b, 0xe0dc6e0e,
+    0x4c19e703, 0x1c3d710f, 0x790592e2, 0x899b2feb, 0x4fe61bb9, 0x99984ccd, 0x181ac75e, 0x1bc9e31d,
+    0x9a37687f, 0x7174d4da, 0x1cb04384, 0x7888d53c, 0x40a4640a, 0x7d36498e, 0x38db525a, 0xe8a93151,
+    0x9fd16521, 0x5d6b4439, 0x0bd44f84, 0xc7e3a1af, 0xfa750139, 0x6fa20831, 0xad2da9b2, 0xa3033bfa,
+    0xef457e62, 0xda75c54a, 0x9eeb12a1, 0x924f2416, 0xf94c41db, 0x618c51fa, 0xa7e96421, 0xaab5b339,
+    0xb1a93a19, 0xad8a98f5, 0xfc31e9ea, 0xafa34718, 0x6f139a40, 0x66194940, 0x27a4116d, 0x75893eb4,
+    0x5b8b875a, 0x3c263a3b, 0xd51cb8ee, 0xe4aeea65, 0x2f7859e3, 0x674692b5, 0x332ba4ef, 0xc380f3cd,
+    0x82098620, 0x08f20679, 0xdb6a0054, 0xedad6ec8, 0x4d735a55, 0x51d158e4, 0x98d930d6, 0xffb3a0b1,
+    0x0642df10, 0x81180c12, 0x7b6a128a, 0xff95e2b0, 0x6084c5bd, 0x42991cea, 0x5dc47075, 0x97f94a8c,
+    0xfdc21c1f, 0xdcf5fa6b, 0xf30a7d78, 0x76fca041, 0x42c84372, 0xb8ab8c15, 0x6d59c34e, 0x3af1a83a,
+    0x4e1f9965, 0x046346b1, 0xcedea726, 0xe95b5db9, 0x9b7348b1, 0xce401279, 0x30fb0e7b, 0xe3860643,
+    0xc45b0c39, 0x9d437c0e, 0x7388f3d7, 0x4a37e5b6, 0x3bc181f1, 0x8f50528f, 0x41bc2ac5, 0xabfd0345,
+    0x2375ce47, 0x20f5ba9e, 0xa801d243, 0xb5870aac, 0xe428c211, 0xadce9d17, 0x26f30d0c, 0x7970d112,
+    0xdb4306ac, 0xab2917d6, 0x6d7b4724, 0xb9c0ffbe, 0x58c15e0c, 0xcca37600, 0x5ae23ab1, 0xea860ae8,
+    0xd2702956, 0x9adccb2f, 0x27c8eaf6, 0xa58c4c0b, 0x6fbc1e8d, 0xf9c3397c, 0xb67421fa, 0x7f341cec,
+    0xa19a29bc, 0xfc7e4d3b, 0x79bcf16a, 0xf297af47, 0x5ea5d8a0, 0x0c52558f, 0x53d9f07e, 0x82f0bd90,
+    0x26a1686e, 0x5ee469ea, 0xae740001, 0x84af5441, 0xad0bfca9, 0xe5e61a10, 0x5e41f805, 0x75b5b387,
+    0x6662f811, 0x216551f3, 0xf3ff9119, 0xad485b8a, 0x9d48509b, 0x71e8361d, 0x19cdc1cb, 0x218e7902,
+    0xa8a7f513, 0x0bbc85ff, 0x8cc58eee, 0xa3664ffa, 0xb9707dd6, 0x12573fb2, 0x760ab6cf, 0xec72b1e7,
+    0xc10e2f28, 0xa33b4361, 0xed617b8a, 0xb9797b79, 0x73224282, 0xc8bfc235, 0xe565ad44, 0xa9780db7,
+    0x40352d96, 0x0e89e701, 0xeb8094fd, 0x9b5e5add, 0x0f7cbbb2, 0xb626db03, 0x664ccec9, 0x2abbf6b1,
+    0x916700a0, 0x93625b1e, 0xff10968f, 0x2e2fcbc4, 0x441b02a5, 0x3a041ec4, 0x18f4e177, 0xf99ced3e,
+    0x20892943, 0x634168e1, 0x623fb581, 0x8e858629, 0x204981ec, 0xa8f447cd, 0x6d299b70, 0xdee44a15,
+    0x15de0aeb, 0x417903b3, 0xa7eb2e39, 0x332bd676, 0x698221a4, 0x1b95fa0f, 0x9b4d56c8, 0xa8823c13,
+    0xb0ef87e2, 0x294301db, 0xfbe1b528, 0x6695241d, 0xcef00c83, 0xef098df8, 0xcc93824a, 0x62dec247,
+    0xd72b2d30, 0xa4aae2e1, 0x80900a2b, 0x57812f0d, 0xfb688cc5, 0x19d75487, 0x9107d784, 0x9fd4e532,
+    0xb010a1ec, 0x22c20f13, 0x2a23efef, 0x460c3149, 0x38ace63b, 0x24cb793e, 0xe0e79f9d, 0x9c1093fe,
+    0x97a8c832, 0x967d2ed4, 0xb00bd72b, 0x86d570cd, 0x2e8aaa2e, 0xe66c1ed7, 0x0b2f2e17, 0x76a4e19a,
+    0xa9802c61, 0xa70ebe95, 0x9b2e132f, 0xee676778, 0xbc2ff587, 0xac29ee11, 0xb37d1799, 0x489d9f0b,
+    0xe2331eb1, 0x1aa1ff42, 0x0434f517, 0x1301aaa5, 0x89c157a7, 0x81a9d7e6, 0x0d6a9910, 0x5550c7dd,
+    0x57b6006d, 0x324b0c75, 0x1ea84f20, 0xc56c3ef0, 0x1a305940, 0x1b534309, 0x29eba56c, 0xb9a63fc5,
+    0xe51af898, 0xf42a5362, 0x0d745bbb, 0xe293c69d, 0x06fd6612, 0x26955e22, 0x20e01e3c, 0xac225a80,
+    0xa80efe2d, 0x90f9e672, 0x8848032d, 0x9f624e4a, 0xe1a20163, 0x63272b4e, 0x84c17fb9, 0x9261d4ce,
+    0x189ac6b4, 0x04fd174a, 0x06f59514, 0x1d6e7bdb, 0x991d861e, 0x79080a62, 0x44d9160f, 0x5b1e996a,
+    0xb98f3827, 0x0dee8cd0, 0xde3cd80c, 0x7529077b, 0xf9aaf868, 0x5234188a, 0x53894e3c, 0x443612e0,
+    0x9c48ee69, 0xcf8e4225, 0x5effef28, 0xee350945, 0x634bb1b7, 0x76cc0e6a, 0x91c17ce9, 0xb799add3,
+    0x152110fe, 0x225d8d18, 0xbcc1376c, 0xf9494911, 0xea4c43b8, 0x35373fab, 0x0cacff2a, 0x2aa6855c,
+    0x0e9763df, 0xb7f1f91f, 0xfd902cec, 0xbff63afe, 0xa0bab4f2, 0x9cd2f24e, 0x16969cd2, 0x7f9fadb2,
+    0xbdb644d5, 0xd154f19a, 0xc0a071ed, 0xf180250b, 0x7023a513, 0xd9af9d3b, 0xae6e7581, 0x09e73008,
+    0x2503f55d, 0xca08a7e5, 0x363f0f23, 0xcf6b2cff, 0x52d8c4fb, 0xb9d49c74, 0xedbb8cb2, 0xaeacded2,
+    0xb439346d, 0x765b8c23, 0x97423a43, 0xf02f7967, 0x71f02379, 0x8a8e8bb2, 0x4304205b, 0x273a80fa,
+    0x09640456, 0x1ec9bdfa, 0x313c3743, 0x51735819, 0xc06b857d, 0x20be936e, 0x4f3ab905, 0x8c035121,
+    0x9f702458, 0x5c69a3fe, 0x18168668, 0x935b902f, 0x010eb944, 0x4532d446, 0x7d6c11d0, 0x882b1f1a,
+    0x5505c8d7, 0x9edcf277, 0x23fcf11d, 0xe3519a7e, 0xcbaf1f34, 0xdbaa3e51, 0xee3b4f75, 0xd520eea1,
+    0x94619b14, 0x1392b078, 0x0766f5e6, 0x2a6c6577, 0xd7f0fb03, 0xdfae81fe, 0x88c1acd6, 0xb3b5d3d6,
+    0xbd2c9641, 0x94a4dcb9, 0xf3b89d90, 0x8db385fb, 0xfc71c813, 0x8e438648, 0x0d88dca0, 0x5531871d,
+    0x30a9e1f1, 0xfc2a942c, 0xfd920d16, 0x91b6a86f, 0x343df017, 0x8a4c9a05, 0xd7026c22, 0x40448c24,
+    0x847eb17f, 0x93a95e75, 0xe3b38738, 0x3f878033, 0xc5be3ed5, 0x492b77e2, 0xc3c80e66, 0x5e11538e,
+    0x88c5d7bc, 0x01a1fed2, 0x1b7e6627, 0x037cacaa, 0x0b7185f0, 0xe231ec9e, 0x36eab9a2, 0x6f06afdb,
+    0x8c8f28d2, 0x94c21a8f, 0x68b16835, 0xe828affe, 0xea0a2158, 0xbc2da298, 0x400f8546, 0xa91b2dd3,
+    0xe123d3ed, 0x9d60fc09, 0x51edca19, 0x569325ae, 0x043bbaf6, 0xad71dd64, 0x9964586c, 0xb9d8f6c7,
+    0xfd073623, 0xa47ce399, 0x63222833, 0xea0e2de5, 0x3528cb25, 0xbfc0320e, 0x0093e20f, 0x225aa93e,
+    0xe751433c, 0x6c7fe7ff, 0x44c42f7d, 0xe09aadf4, 0x5fcb7ea6, 0xfb2e2ed1, 0x235592d7, 0x7e3acfde,
+    0xb44a2e40, 0x810e02e5, 0xf5eec8a1, 0xca438e8f, 0xb8fe702d, 0x015ba27b, 0x54391893, 0x634860f9,
+    0x186e9a62, 0xcf1ac87b, 0xdc885957, 0x80c56c3b, 0x842efbb6, 0x34274c0d, 0xab1f1f97, 0xffd4a55b,
+    0xe2493b3b, 0xa4c7b94d, 0xd7a7dc89, 0x9d2060a5, 0xd2d2e9f2, 0x7db8b2f6, 0x25cc3eb9, 0x381fa5a0,
+    0xba7330be, 0x2564ed23, 0x4b3baeaa, 0x8061ea99, 0x91c8e92d, 0x6397c47d, 0x31a52512, 0x61ab033b,
+    0xee194d6c, 0x66786ce7, 0x64e12d63, 0xb87a4985, 0xa35d4dfa, 0xd71aa1fd, 0xfd8c78d6, 0x7a7c03d8,
+    0x6d93188e, 0xef44ab72, 0x353011a3, 0x2258f255, 0xc8b27c35, 0x589ecae7, 0xbf2ee663, 0xdef787a3,
+    0x35a7e490, 0x567eaf85, 0x68918400, 0x29c1f067, 0x5abbadaf, 0x95726aca, 0x5efe0bda, 0x6e719359,
+    0x922ac4a8, 0xdda47709, 0x48da68ca, 0x8f59fc28, 0x3d6c4439, 0x0be027e3, 0x5592050a, 0xc9593ffe,
+    0xa79cd7f2, 0x9fbead0b, 0x35c76f4a, 0xe3dab175, 0x968bcfa8, 0x1ccab399, 0x21bdced6, 0x4619602c,
+    0x6879169b, 0x70841381, 0x25b6a038, 0x66071393, 0xce8f5eae, 0xb14880a9, 0x8c792c8f, 0x936d70d9,
+    0xd2a8f375, 0xb99299ed, 0x2e7c0d52, 0x31bcaa46, 0x3cbcb8e9, 0x2aa54538, 0x42f74fd6, 0xe12ebf0c,
+    0x9a2e739c, 0xf2a533a0, 0x1e86adf3, 0xb2fd3ddb, 0xbbabbb76, 0x876aaaed, 0xe2437532, 0xe182b8eb,
+    0xafedcda7, 0xec0246ba, 0x21b4aa66, 0x584de07b, 0xef4e2708, 0xcac5c617, 0x75dd6c25, 0x3b1441cd,
+    0x669e0e64, 0x8087d086, 0x2d9102f0, 0x624ac4d3, 0x60501fa2, 0x7ccd8bd9, 0xfec45db1, 0xbe10bba4,
+    0x7fb021e3, 0xcb77e9a1, 0xba7afac3, 0x11d830bc, 0x5d61c779, 0xcad983ac, 0x536e020d, 0x82919108,
+    0x83d05d60, 0x85e9328d, 0x6756efbc, 0xa7feeda2, 0x321e892f, 0x722afaef, 0x3da66d12, 0x06bb814f,
+    0xe5aaab12, 0xf8ada97c, 0x9a5b25cb, 0x5f663afa, 0x1acb5511, 0x082f3b59, 0x9f80e461, 0x80968c05,
+    0x07ac35b8, 0xdc48aef5, 0x16ef3d21, 0xf16e95d1, 0x494942df, 0x6d41d89f, 0x6e9a7240, 0x0836782a,
+    0x7a4296d6, 0xbbe6c564, 0xcd7043d4, 0xe271f209, 0xef4fefa2, 0x6ec14646, 0xa22a5732, 0x8d0c383b,
+    0x7619fec3, 0x153db34f, 0xddd6f606, 0x3970904c, 0x366896b0, 0xd6aeac95, 0x384a780b, 0x00a17f9f,
+    0x444019f0, 0xb8d4a161, 0xb0dcd7dc, 0xad1c404e, 0x0c782bb4, 0x68764583, 0x3bb933ed, 0xd79c9627,
+    0x0ed58e18, 0x415db6eb, 0x95535d66, 0x1ac65ed8, 0x3a5424c6, 0x0bdd4d15, 0x34476b6a, 0xf730ab30,
+    0xb790457c, 0xd8cc4ed4, 0x036a8549, 0x1274c691, 0xd0fcef51, 0xd33cc76d, 0x991c4641, 0xd5f13f06,
+    0x0ba3307a, 0x71e49889, 0x79af0b0b, 0x8bdb4df4, 0x6edf8ef1, 0xee461f34, 0xe3f6b26c, 0xf76e4e42,
+    0x31e962a4, 0x3a50c625, 0xfeb77c10, 0x51157688, 0x283ea695, 0x04dff054, 0xc6b42e5e, 0xdb8af610,
+    0x53755c81, 0x19b68718, 0x78f7af2e, 0x0111f360, 0x50b9e2cd, 0x28e84a64, 0x10af8fd3, 0x9f9fc8a2,
+    0x52518280, 0xd2176f8e, 0x974754b9, 0x84781672, 0xa46e97e5, 0x72cf6f00, 0x9decc4ba, 0x1a3f125a,
+    0xa87c4374, 0xafbc1d40, 0x288bb4d9, 0xb11d8a1c, 0xd592ca4d, 0xace54bc5, 0xdc8e9d68, 0x569ff8ec,
+    0x3db53f8c, 0xd94d8c17, 0xf0b7369e, 0x92ef1cf4, 0xa3e8287f, 0x16cc0cd1, 0x0fc0a233, 0x2fbf12b2,
+    0x4698d9a6, 0xec977437, 0x7a3d18c6, 0xab1a0b5a, 0xe23e9224, 0x9a4a673c, 0x043340ac, 0x47ff4a3f,
+    0x1051491b, 0x2119201b, 0x2a0334db, 0x598f989f, 0x052e702d, 0x2c6070dd, 0x57b4b7ff, 0xafa2fe16,
+    0x229773e6, 0x5aa980dd, 0x3bcffd3d, 0xf39e0aa2, 0x9ad1c6ea, 0x7164ae67, 0x313fa7ff, 0x6b83c5ce,
+    0xc526dbac, 0x6bd79606, 0x40a6fff5, 0x20be3f75, 0xa16b2fe7, 0xe9cede50, 0xccb4bd2c, 0xd895048d,
+    0x9ac2a8be, 0x07c603e4, 0xd7f32c8b, 0x6b4677ec, 0x3fb803d1, 0x746ddfc6, 0xeed234e6, 0xc236bb78,
+    0x4ff07964, 0x8bbcf8e1, 0x3a2c05e8, 0x9121a66b, 0xdc9399aa, 0xb8d798b7, 0xb13f84f9, 0x1566bc4d,
+    0x5d97d1f6, 0x57c2b0b6, 0xefeaaa27, 0x93698532, 0x5d0786e3, 0x6632acaf, 0x0068acdd, 0xc563f3e8,
+    0x95283138, 0x210ada2f, 0x2ece0f86, 0x4ab152b2, 0x552f5c55, 0xd374b4ac, 0x0bfe2451, 0xa5082863,
+    0xb8c3fd50, 0x7643c9c5, 0x90333879, 0xa1618525, 0xde7fdfdf, 0x95fb4338, 0x56e751ee, 0x25828ccb,
+    0x8a5d6662, 0xf22c7735, 0xb13a6ff8, 0x7b5135ac, 0xbd477060, 0xb7ed7c71, 0x4cb28217, 0x75fbb9aa,
+    0xf534ccce, 0x556f3779, 0x25838eca, 0xbfcc9b8f, 0xa44c7775, 0xe1e5830f, 0xad1ca3ba, 0xa32c035d,
+    0x00000000,
+    0x4a99fe2b, 0xc900acb9, 0x7ac286bd, 0xd56c75a1, 0xe747c497, 0xfbd3baa3, 0xb3a0cca1, 0x90105cf0,
+    0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x40000000,
+    0x00000000 }, /* 10**00000000000003810728210834951454323238805899861213072019217120326111888619335\
+                         48019011086397170424842053596617672260721060927906081896416989218663120764928 */
+  { 0x00000000,
+    0x16cb143a, 0xb2c54075, 0x1745a0af, 0x51913857, 0x065df6b2, 0x318bca4c, 0xa69fc08d, 0x0fee3dea,
+    0x539e160b, 0x11001301, 0x11c7eea6, 0xc248d000, 0x9a8f5af1, 0xd84c2511, 0xc6bbd7d2, 0xa7b7acc5,
+    0x8f342a9f, 0x56dc47c6, 0x86375f0b, 0x6d33a159, 0xc98c2d38, 0x69395524, 0x4bf37aa6, 0x873b7e74,
+    0x5cf67056, 0x7832814d, 0x9a3830fb, 0x126f948a, 0xc8bbf5d2, 0x6410273f, 0x87ce7f0e, 0x0be11c01,
+    0x64681362, 0xc224ef7e, 0x7e714832, 0xd7f37ccd, 0x1f874f86, 0x86829999, 0x4d609086, 0xf9476049,
+    0xed308d12, 0x31cb2e7b, 0xe3a46143, 0xff5c8877, 0x3a584cf1, 0xa1f62109, 0xddc4b3b6, 0x70c5bcce,
+    0x70771c8f, 0xb49dfec9, 0xb58cb527, 0xce07eee3, 0x223fba7a, 0xaa23fa4f, 0x81fbfccb, 0x8627f25c,
+    0xb446777c, 0x1d5a7a54, 0xc54c1f96, 0x510c85f3, 0xf9c6a82a, 0x72881b38, 0x8d6a4954, 0x13730991,
+    0x6970eb83, 0x411bd773, 0x1b30a2ff, 0x091fc636, 0x7faa2126, 0x3ccc7b18, 0x0d0d4cdc, 0x0da8f55c,
+    0xf5c8f313, 0x403d6e9d, 0x0dacc562, 0x81c18e19, 0x85153d18, 0x8f0d8589, 0x1a52cd0e, 0x3d72baf5,
+    0x5c958645, 0x4c2fe90f, 0x5043110f, 0x8a552f8e, 0x597c285c, 0xac71873f, 0x725fa7d5, 0x79d5a83c,
+    0x27eaa41b, 0xd846b8cd, 0x8ebc8472, 0x90d2c2e5, 0x299eb998, 0x837e40fa, 0xab2e6c78, 0xcb62bf97,
+    0x7141e0d3, 0x62baf41f, 0xec058a6a, 0x30bf119a, 0xf1da8272, 0xf3c2911d, 0xc54fa8de, 0x912ea653,
+    0xa2b359a6, 0x017582cc, 0x0b980e53, 0x506929c8, 0xddc157e0, 0xef766b3e, 0x8a89dcf8, 0x7f7bd36f,
+    0xb423bd69, 0x77ecf3bd, 0xb4a30f1e, 0x7c7f027d, 0x3cb758ff, 0x0831c1fd, 0x1869b1ca, 0x188d4ba9,
+    0x8a32f9a9, 0xd6dbbb1b, 0xf285047e, 0x86106fef, 0x48a19ada, 0xa05848d8, 0x2cae277d, 0x53724858,
+    0x747fa099, 0x63106727, 0xa4f8f693, 0x05d55700, 0xd92d18f7, 0x773801a4, 0x6eb2a5f5, 0x5f5a4ade,
+    0xfdddf6ec, 0xcda24b9d, 0xfd998b81, 0xbd654a79, 0x47f3adca, 0x771673c7, 0xc9dda958, 0xe3dcd394,
+    0x7cc4b220, 0xcf8c9016, 0x12c9dcd1, 0xdea2e1f5, 0x14f88ed8, 0x9a1ba4f5, 0x5b64ec35, 0xdd6924d6,
+    0xd6803da5, 0x23822227, 0xcd63a24c, 0x6f0bd5f8, 0x3b3e0c41, 0x2538f913, 0xb6bf8f54, 0xe0a98198,
+    0x9b5b7739, 0x8522b352, 0xf7cdcc4a, 0x8274a381, 0x448e670e, 0xbf9a30da, 0x31d089ab, 0xd4d86584,
+    0xfd8d4008, 0x1ce2905b, 0xf08fa64c, 0x0fc93222, 0x2b289e07, 0x43a1d190, 0xa07e87b7, 0x45a429d7,
+    0x39f2a5c1, 0xce4235c7, 0xd8ef714c, 0x51230ef9, 0x0ef6035b, 0x4e0a6cec, 0x0cddc513, 0x920b71ac,
+    0x688f66dc, 0xcce94b66, 0x4ce8deeb, 0xe4d8c707, 0x7a8a8849, 0x10cfccaf, 0x6d97c7b9, 0x47e06445,
+    0x4e5622c6, 0x4bb13805, 0xc921bd44, 0xbc320810, 0x6837b02c, 0x60a2acd5, 0x8f9c2e83, 0x035806d7,
+    0x41fd67b8, 0x95315604, 0x8a62d999, 0x8db2d39b, 0xd456cd34, 0x0af4fc85, 0xbb0347d6, 0x2e30824e,
+    0xc5cd29fd, 0x093550cd, 0x66d396d9, 0xd9728d39, 0x21f3b02b, 0x0c8344bd, 0xebc5935d, 0x549845f9,
+    0x1d06ed21, 0xfba945d5, 0x859be0bc, 0x632733c3, 0xdcdc2129, 0x0c7ff9c4, 0x7b869a3d, 0x36ee129e,
+    0x897c5964, 0x8bf5f9b3, 0xbfdf1ee1, 0x8c6cdd27, 0x1235aef5, 0x8acd10c3, 0x9ae739a6, 0x355ae1f6,
+    0x83c0fc20, 0xee281067, 0xb9be2df1, 0x90e7f76f, 0x2cebcb00, 0x7f488926, 0xbc0439c0, 0xc4d41793,
+    0x675a00a9, 0xdac07df0, 0xa8348f91, 0xeeb83474, 0x7dd43383, 0xb749c33a, 0x27a2245a, 0x7299335e,
+    0xdc6e39ad, 0xd336f77b, 0xae90ebbe, 0x18a8cc7a, 0x61713b8c, 0x27f91626, 0x8cd23c24, 0x5600af59,
+    0x8edfc4b4, 0x8dd9aebb, 0xe83594fe, 0x29bfc398, 0x1fe2f7d2, 0x665bf2eb, 0xc7553974, 0x9a230347,
+    0xd2318628, 0xcc4622de, 0x84142ec3, 0x2f0bdebb, 0xf22afaa8, 0x2f1c1e40, 0xbfff1aa0, 0xf8bf357b,
+    0x3411efa0, 0xb8d2d457, 0x203d8eca, 0x87710016, 0x223b7bc2, 0x6cbd28ad, 0xd9aa6e02, 0x422b81f8,
+    0x44816f37, 0x32c299b0, 0xa2c2ad98, 0x0858b5e9, 0xac3a7997, 0x318b23e8, 0x4e151829, 0x9700adcf,
+    0xe923b872, 0x5d09ae3e, 0x316dd85d, 0x539edb73, 0x5c19f7ba, 0xcc9cc1b7, 0x4538d50e, 0x6202085f,
+    0xb6dcacee, 0xc5f472bc, 0x9a4a8ea4, 0x4bd5e8a4, 0x71189b0b, 0x0156fba3, 0x215b5c2a, 0x4251e116,
+    0xff6e5b26, 0xd468f9d8, 0x81aad578, 0x8a03e7b9, 0x5452fb4c, 0x6e6a4a01, 0x57afe44f, 0xce75b1f4,
+    0x60170d74, 0xc5694f36, 0x00cfdbc9, 0x1307bce9, 0x6c4e2507, 0x16a7c79a, 0xa351ba52, 0x0f722506,
+    0x26e0c65e, 0x537ab62e, 0x08144b82, 0xf691c2c9, 0x38adff69, 0xfe15e294, 0x8cc7e863, 0x0b89a429,
+    0xd9764650, 0xc2be3d1e, 0x580ab5b9, 0xb5c2d894, 0x64cc0f98, 0xef94e14c, 0x355dd744, 0x644726a3,
+    0x4b265799, 0x82c7b243, 0xc54a4e59, 0xfc450de8, 0x46bfbd40, 0xe05db4c2, 0x8467a37a, 0xcfbe85e8,
+    0xcf97b33d, 0xdb20d3de, 0x928107aa, 0x87729484, 0x3ac8a75b, 0x179e0656, 0x26baf711, 0xd5641b69,
+    0x31ae84b4, 0x8c4f0b70, 0xe3a46229, 0x49b657d9, 0xce0773b2, 0x08415ff6, 0x01358a56, 0x094cd55f,
+    0xcb688f05, 0x7e873cd5, 0xaa0daf8e, 0x448722e9, 0x43737a45, 0xdb01e90e, 0xa034b2fb, 0x0305ee41,
+    0x5e922e2c, 0xde77aa99, 0x4d72554e, 0x7921ca3d, 0xf490550e, 0x673881ed, 0x43055e6f, 0x2bd7d837,
+    0x1ba9297e, 0xc79d1036, 0xafcb9602, 0xa3d77e09, 0xa1593dfe, 0xfae35e6c, 0x15188f04, 0x512a4b8b,
+    0x24d7446d, 0x0c7f7138, 0x35f65601, 0xd6340b3c, 0xc389f738, 0x1edf404d, 0x19400ca6, 0x4fbff6ab,
+    0xd0d87706, 0x41dcf95f, 0x06540db6, 0x429c069b, 0x77c94344, 0xa7d7696c, 0xc87ef141, 0xbe2c1634,
+    0xd5559ab1, 0x1f67ec80, 0xbe27d3d1, 0xe58d6553, 0x7af7cec6, 0x30eba75a, 0x7b7694ed, 0xb7ef483a,
+    0x92a0ebcc, 0x93a7efed, 0x510d3aea, 0x6a259a28, 0x938ecb12, 0x60476e14, 0x01aee395, 0x10be5cc2,
+    0x3d4a3c92, 0x2c6acbcd, 0x4c84e43d, 0x8309813c, 0x88f2690f, 0x715a0384, 0xa8030cdb, 0x5239776c,
+    0x2906f770, 0xc7b4fd81, 0xd03fa47f, 0xced878ae, 0x402045e4, 0x96eccb26, 0xf20879e8, 0x2fed0a3d,
+    0x4092bb2a, 0xead0d9ed, 0xe3ee402b, 0x7ba1b41e, 0xdf85bc22, 0x932654ad, 0x845d2ca8, 0x316fbf19,
+    0xaaf54fad, 0x4bfcdbb2, 0xa801e7db, 0x305f478e, 0xd0702fda, 0xed74354d, 0x08a24dfa, 0xb800a097,
+    0xfd96eb37, 0x4cec5ca7, 0x88d7bcb0, 0xb73a9175, 0xc0c0ff52, 0x71d741aa, 0x6aea9c1e, 0xc18b396f,
+    0x63a9f2e6, 0x6e66ce5d, 0x6216123f, 0xfa206bb3, 0x11879a02, 0x9b9a43c0, 0x1b8e7471, 0x13136920,
+    0x1c4b3a70, 0xe8069c2e, 0x5a4029fc, 0x1e2057e8, 0x053b7dfc, 0x4dc155ef, 0xbddf5a93, 0xf6363724,
+    0x5ba261a1, 0x61ea16cb, 0x6fe30585, 0x7de825b2, 0x03d03786, 0x8279983b, 0x69e2abec, 0x347d2ff6,
+    0x8a333e56, 0xecb10184, 0xf9d0503e, 0x31aff629, 0x571c266f, 0x40e721d2, 0x7469aebb, 0x79b4baed,
+    0x9a8f68e6, 0xa8933324, 0x23769c21, 0x14ee77cc, 0x78efaae2, 0x02642991, 0x7bad7ef6, 0x609419eb,
+    0xe3b7402d, 0x333d7ea5, 0x8e4dbb5b, 0x6cee74b3, 0xa6f842db, 0x2b7e2f50, 0x27f0f195, 0xba58c34f,
+    0x93d48e64, 0x659cec71, 0x9bc449ba, 0xbc17d6b3, 0x682664a5, 0x9568016d, 0x6da2a7fe, 0xe31b0a0c,
+    0xece3eef6, 0x57af8e87, 0x3f4e283b, 0x5c238d46, 0x2372b961, 0xb3046e16, 0x9f02fd46, 0xbe31bf7f,
+    0x63ce604c, 0x9904ec8c, 0x13c34e0d, 0xae26a97e, 0x2d79d2f3, 0x3e94ee27, 0xd05ffdfc, 0x32fe148b,
+    0xafb1308c, 0x631a3bbd, 0x5407a773, 0x3575bb95, 0x10cfd543, 0x7b2f666b, 0xc059c854, 0xe3d3b5d6,
+    0x54cce583, 0x6e6b517c, 0x7537ae95, 0x66f01166, 0x2401748b, 0x34dbda27, 0x618641d3, 0xb6935264,
+    0x64c047ba, 0xebaed27f, 0x72c1db77, 0xa568ce23, 0x9300813b, 0xd66b3032, 0xdf73e286, 0xe5a56364,
+    0x346b6c3b, 0x87566a19, 0x566654ff, 0xe015dd25, 0xe8ae843c, 0xf762a6ea, 0xf78d64c7, 0x1cac711a,
+    0x070716d7, 0x3d72ab44, 0x4da6394b, 0x401ecaf5, 0x4eb1f15a, 0x4d6e727d, 0x972ce115, 0x72c677b2,
+    0xf9b2e3e6, 0xd989506b, 0xfba21e4e, 0x4b96b320, 0xa05029f8, 0x6104292e, 0x5bc171c5, 0xbd16f096,
+    0x03a44970, 0x43be8284, 0xbd4fa9c6, 0x3ff25983, 0xdae4e472, 0x90b4493a, 0xfd495453, 0x40942aca,
+    0xd0103009, 0x87401a22, 0xed49b69c, 0xfeb1806e, 0x8122f2bc, 0x916a3b49, 0x22d13677, 0x708ad15e,
+    0x494b678f, 0x4b1ab844, 0x68e8c6bf, 0xaa656f29, 0xcac9a131, 0x7cabcd97, 0x80ec0ea4, 0xac8277a4,
+    0x8406cda2, 0xc37a3e24, 0xce5ea1bc, 0x81235af1, 0xcf3addeb, 0xd68f6194, 0x3970eda9, 0x86c7c154,
+    0x1bf6687e, 0x03412f59, 0x8ffead72, 0x41b76862, 0x83c5bd9c, 0x44f3a35d, 0x5b539c08, 0xfb95cbf7,
+    0xaf572a19, 0xa0ad19cb, 0x0b2f749a, 0x99ec66ef, 0x755572e7, 0x4e0b9181, 0x31638208, 0x9f31916c,
+    0x271d1063, 0x14a66c0c, 0x8ad5b17e, 0x5d5ba57e, 0xac6f6314, 0x6a5fe4e2, 0xdd0d1ee6, 0x81e78b30,
+    0x98940932, 0x945797e3, 0x5f78a09a, 0xb89e6a5f, 0x86af2109, 0x6f12d1c4, 0x47e20384, 0x23635dee,
+    0x99d4d415, 0x423210f5, 0x908a0a04, 0x9919c85e, 0xb3dab511, 0xa82efa06, 0x434352ad, 0x08e80f3a,
+    0xba5eab5f, 0xe62d3246, 0xf08c31fd, 0x2867fa36, 0xe42b1a27, 0x58c9f168, 0x6ea9b5e2, 0x15800dcf,
+    0x7ee9e83b, 0xe0a6211a, 0x92bc11d2, 0x79c7a5ed, 0xfcf55b6f, 0xefc64a47, 0xbdd6fc48, 0xc1082164,
+    0x555bc146, 0xb77e6ad4, 0x6991684c, 0x2f345330, 0x14fd30f8, 0xb466f667, 0xa15c06de, 0xf06fcce7,
+    0x52d5a414, 0x0d3a433f, 0x5a920e68, 0xdf7fd3dd, 0x6d518949, 0x3055247d, 0xccd942bf, 0x33700ea8,
+    0x1c55af02, 0x8e181c50, 0xbc2dcb1c, 0xe71f7fc9, 0x5eb18a32, 0x23cf00c0, 0x07bbdfa1, 0x523deb7c,
+    0x3824d488, 0x4b051f74, 0x487c7700, 0x027f3c14, 0x3218f727, 0x1e44767d, 0x922cf241, 0x8044d13d,
+    0xa9137392, 0xc8e5d9b3, 0x9b8cdbb6, 0x700361bb, 0x31a5eb9b, 0x21471496, 0x0afb1c49, 0xcf63bbf9,
+    0xd08f1174, 0xbafdcb57, 0x57803dd6, 0xefdfeaec, 0xace40f33, 0xd532564a, 0xe5b71e21, 0x08ba3720,
+    0xe508e2a1, 0x2ac87e7c, 0xe69007ac, 0xefdadcaf, 0xab3bb876, 0xe352002c, 0xbb6f808d, 0x41184ee3,
+    0x7905c2ea, 0x05df1b0a, 0x9a2f4067, 0xa254b44c, 0xb5076cb9, 0x91526baf, 0xb91f2c41, 0x7b5f5961,
+    0x33227f40, 0xcaf575d1, 0xf74ebe91, 0xda033d56, 0xc7b2412d, 0x537aad1b, 0x326e94dc, 0x02f8976f,
+    0x4d7202e1, 0x32050214, 0x11e133bc, 0x287d308a, 0xb32e4a62, 0x631e3dad, 0xf5e2e7ea, 0x9c32389e,
+    0xbc998f52, 0x1d0ac48a, 0xde72dde5, 0x8fa45dc9, 0x4ff0df54, 0xbe7aa0d3, 0x04ca1de1, 0x225cc829,
+    0x1807100b, 0x799ac947, 0xfcb949c9, 0x1a2deefe, 0xd416756e, 0xb0c967cc, 0x911b1596, 0xad96f340,
+    0x6a1b446c, 0xc8def645, 0xec3229fa, 0x6e95776e, 0xb9d8ee19, 0x2895c01d, 0x08d10dcc, 0x112f92ee,
+    0x9fd60ff0, 0xb9ecafe4, 0x9c1f19d6, 0xdb41dee3, 0xf6364a45, 0xeba89ddf, 0x20c5272d, 0x8f0b7b99,
+    0x360c055f, 0x580ac563, 0x46277fcd, 0x38c6d0b8, 0x40a82d2b, 0x142431eb, 0x9a09500a, 0x87c081b0,
+    0x1832f7fb, 0x06348ec1, 0xa9e3539a, 0x8d5911b0, 0x06d8c950, 0x75c14267, 0x91ccff04, 0x61cc5144,
+    0xf1c9307d, 0xdad98b7b, 0x6079ce06, 0x90abd626, 0xde3a3f4b, 0xe86b4299, 0x10c6c210, 0x512a0758,
+    0xb872090f, 0x585ae769, 0x63b207ac, 0xd34b6445, 0xf8805d9e, 0x4b82e88d, 0x2fc77f82, 0x5a76bb65,
+    0x37a70681, 0x8e210dca, 0x08c9dc4a, 0xa3838bd5, 0x7be4c0c3, 0x6ef90a05, 0x91ccd462, 0xc61e0407,
+    0x6ca13a86, 0xd351fc00, 0x30f2dca6, 0x25c9eb04, 0x44f15e89, 0xa6951860, 0xc1f29efd, 0x23ce7134,
+    0x266f062c, 0x828ad415, 0xcccde5e9, 0x82cffa3b, 0xf9378477, 0x663c0de8, 0x039d4654, 0x67b19e63,
+    0x24e12acc, 0x3cd6fe70, 0x96602e0f, 0x7f1934f5, 0xd63cca79, 0xb19f59b2, 0x61da213d, 0x8b5d03a9,
+    0xa0bb5381, 0x5af59ec3, 0x0ce59caa, 0x65d64a22, 0xd5e75c9e, 0xf39bcd35, 0x4ed47f69, 0x7b2dabd7,
+    0xbcad22ea, 0xff7f8a4e, 0x5bf57ff3, 0x42745382, 0xa6d540e3, 0x88a48aed, 0x2c60a2c1, 0xafcf3d76,
+    0x334eb825, 0xbd3bb78d, 0x2c035b12, 0xce60b48c, 0x56f5fa22, 0x3b079061, 0x779e5492, 0xd332c0f9,
+    0x019a7712, 0xd9b76f4b, 0x03f5f13c, 0x5200c379, 0x32b42cef, 0x05a78fcb, 0x9ced2b9b, 0xb59edd43,
+    0x4e0140a5, 0xc9ef7a4e, 0xed5e7cc7, 0x79055c6f, 0x426cc7ee, 0xa1570ef1, 0x2d718d57, 0x19b35063,
+    0xd9a12529, 0x0e6d6f33, 0x153f9cce, 0x30b2b295, 0xaac9b739, 0xc14e503c, 0x4d815dc1, 0x3cfdac46,
+    0x3161d4cb, 0x6eb2b9b4, 0x7154fcd2, 0x762d952e, 0x0d9c3422, 0x21f732c5, 0xf3f0ac94, 0x74c1f9b9,
+    0xea423695, 0xcf7a5e2f, 0x397cd597, 0x4e70e734, 0x35b29a22, 0x35d64a45, 0xab07f06b, 0x8f51b25f,
+    0xfd9146db, 0xcbd73ea9, 0xabd1cf9f, 0xb3867c51, 0x62d25d18, 0x844ebee7, 0x7a59f800, 0x24c19143,
+    0xcacb0bac, 0xdfabc4c4, 0xa1327640, 0xbe797931, 0xce8fc4b0, 0x1b45e4fa, 0x373e0682, 0x858da61c,
+    0x1a1631e5, 0xab74da2c, 0x5967907a, 0x755dc6ec, 0xe6dec540, 0x84715076, 0xac00b8c9, 0xf8a06262,
+    0xe98bec1e, 0x5f417e01, 0xc9fdfeee, 0x6bc79f3f, 0x15d0d7b5, 0x2d4f8967, 0x26706788, 0xb0e3fbd7,
+    0x45ba8db9, 0x1561c18a, 0x24691a3e, 0x98910649, 0x3486182b, 0x22829b79, 0x12592357, 0xf66940f3,
+    0xc97ae994, 0x0642271c, 0x0ed80cd1, 0xa78eac1e, 0x720a57c6, 0x437ba0f7, 0xaf4f559a, 0x0f697537,
+    0x814e53cd, 0x9b30a13d, 0x7d1d4077, 0xb2c016ed, 0x473035c3, 0xacb96619, 0x8102530e, 0x5c109181,
+    0x1bcc33b2, 0xd062744a, 0x65eaf81f, 0x9d91729d, 0x29187174, 0xcffb9c0e, 0x6de579b8, 0xd7832ccc,
+    0x641e6229, 0xac76325b, 0xe3c0ee4e, 0x32993a4d, 0x3dfddee3, 0x041b557f, 0xbc1377c7, 0x0257941b,
+    0x241b0663, 0x9f831847, 0xf7eb4af4, 0x037cd98b, 0xe16e2f1d, 0xe242acda, 0x22fb7c3d, 0x2b379feb,
+    0x5159f30e, 0xdf0fca8b, 0x768e887e, 0xcb2a8b67, 0xbf90e13a, 0x4316b6b1, 0x4f962621, 0x2ae68f64,
+    0x33c7161b, 0x5a95a71c, 0x30e8e79d, 0xc1bdf5f8, 0x08b7e1eb, 0x1133b8b3, 0xc6d69333, 0xbb47964a,
+    0xc3e6cac4, 0xf535ca25, 0xa57265f5, 0xde396ac5, 0xce21ab34, 0xbf1ee49f, 0x5a3dd574, 0x90851951,
+    0x00000000,
+    0xa54cff15, 0xe480565c, 0xbd61435e, 0xeab63ad0, 0xf3a3e24b, 0xfde9dd51, 0x59d06650, 0xc8082e78,
+    0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x40000000,
+    0x00000000 }, /* 10**00000000000001905364105417475727161619402949930606536009608560163055944309667\
+                         74009505543198585212421026798308836130360530463953040948208494609331560382464 */
+  { 0x00000000,
+    0x975868dc, 0x73ed03c7, 0xc3c3563f, 0xbf4f5594, 0xf6fdcd0d, 0x900c0d72, 0x8503673d, 0xcd54a2d4,
+    0x74fbe738, 0x6f998af5, 0x2627108d, 0x79d32a6a, 0xd8ea2138, 0xca6e44a1, 0xb7bc87bd, 0x29628aa3,
+    0x6ef40f8f, 0x7e664011, 0xec0d8d52, 0xb55309fc, 0x9939d167, 0x6a6c0cae, 0xa537e201, 0x5c5ca734,
+    0xdd26d52c, 0x7af17bd8, 0x20c178a9, 0x31923bd9, 0x69b5ab8f, 0xf79a654a, 0x500ed3d4, 0x89ec4e07,
+    0xdd376e73, 0x4140cd72, 0x263dca1c, 0x2fea2395, 0x4b833c38, 0x90eec3ae, 0xc9a67028, 0x2588e349,
+    0x350a078f, 0xe0a652d9, 0x3ae143b3, 0x33d30b97, 0x247d116a, 0xe8171bfa, 0xee54dda9, 0xe6cff06c,
+    0xd61b8079, 0x139e75a0, 0x0bd11858, 0x803fda21, 0x6b2db73e, 0xdb33eaa5, 0x59084058, 0x9acf8492,
+    0x9b280d00, 0x7c6f1a27, 0x9c8b1299, 0xf7fcbd2b, 0xc1fb04c3, 0x91fc2616, 0xb27fc10c, 0xf87db6dd,
+    0x40efbf83, 0x3f43f1f1, 0x8de61fe3, 0xf1f51fcc, 0xdb1c0aef, 0x8ffd067a, 0xd7469be8, 0xab9fe0d5,
+    0x9e8d8018, 0x464efc72, 0x85c532f9, 0xf3b2b101, 0xe0d658c3, 0x6f9bd3b0, 0x3233eee9, 0xdee35c33,
+    0xf0f8127d, 0x666eda55, 0x498df9cb, 0x399a164f, 0x483c0214, 0xbe8eb271, 0xc403c98e, 0xd3a49bdf,
+    0x20b1f6b9, 0x58ac5391, 0xf21ca98f, 0x4bd71b53, 0x07899975, 0xbff31352, 0x99c5eec7, 0x3e7c7c9f,
+    0xbcfec6ef, 0x1b1deabb, 0x5839619d, 0x7a510b73, 0x9692cfd3, 0xea0e4164, 0x337dccbe, 0x7c3aa5e7,
+    0x8ff73521, 0x138803dc, 0x94e95b66, 0xf1143dec, 0x75d944c6, 0x804fdb2a, 0xba7243b8, 0x2126d9cb,
+    0x873af800, 0x561c3fad, 0x130e964b, 0xa22cfe5e, 0x16d283fe, 0xbd501d5e, 0x4f99a097, 0xcddfc7dd,
+    0xf4bb9162, 0xed77b6eb, 0xcb96e9dd, 0x1dc817dd, 0x9744a29c, 0x2b97a244, 0x1f8dfd8a, 0x071c5ffc,
+    0x58da6543, 0x443af7ec, 0xb36b98aa, 0x17e49d57, 0xc48a974c, 0x40800d35, 0xe34a0871, 0x0bd2f288,
+    0x5042bf9b, 0x5c26bc04, 0xc2a3d2a9, 0xb49eb52a, 0xdb12fc6e, 0x30c98030, 0xbe7a613b, 0xb8ce82b1,
+    0xc6d47fd4, 0x26df9d26, 0x9d6d02c2, 0x0fbb9a0b, 0x4115be4b, 0x55e375dc, 0x77c838e3, 0xcaf10117,
+    0x6602c2ee, 0xc4fc9259, 0x3711303b, 0x76bb2625, 0xc1240f64, 0xc66f5fb8, 0xd778dc06, 0xc696b3a4,
+    0x1329c154, 0x74a60e22, 0x5783db7e, 0x163098ac, 0xaff8e84f, 0x8d8dce1b, 0xb2bc3909, 0x10a79b2e,
+    0xb01be8c3, 0x3e7449e8, 0x38ac84fb, 0xfd60ea8a, 0xc89494ff, 0x650f2901, 0xb7168558, 0x2290c1f2,
+    0xdf1f6e4c, 0xa4905d3f, 0x19bb152e, 0xc18db8b7, 0x8ca5668c, 0x5ef58b7c, 0x29d48127, 0x0f009e1f,
+    0x2ce43208, 0xe7439925, 0xfd6b6a3a, 0x99af770b, 0x30dd1d28, 0xd9f1e3a2, 0x268b0a91, 0x08f81354,
+    0x0b92a4d9, 0x7a799af3, 0x47fbc849, 0x33eea766, 0xc3f62ec4, 0xdf53cbf8, 0x8bb301c2, 0xd7ff657b,
+    0x4868ecc9, 0x634d2a89, 0x6cb34556, 0xee79dea0, 0x7b4f96b2, 0xd4ff67eb, 0xbff1da6c, 0x3fbab6f8,
+    0x8a73788e, 0x6ad87926, 0x95ed93dd, 0x24bbe72c, 0x6b54ab6b, 0x957023e8, 0x20cf27b2, 0xf8edd64e,
+    0xcb790ed3, 0x6cf7b6d8, 0x7c2a5683, 0x0d3943bb, 0xbf7cf023, 0x45c1e1b9, 0x0058e699, 0xc2f96d89,
+    0x716505f8, 0x9e746084, 0x89a8afe1, 0xdfcb2da3, 0x19010ebb, 0xddb18316, 0x9ea94e47, 0x9ad17199,
+    0xe9016338, 0x0784fa28, 0x97a9516e, 0xd49db6ff, 0xa32b4e5c, 0x6beea67b, 0x609121fb, 0x457507c1,
+    0x12016b5b, 0x989ccf47, 0x05d41f7a, 0x0965b39f, 0x68d1f352, 0x4a8f0b3d, 0x93ee7593, 0x0927f926,
+    0xf369914a, 0x7f9435b0, 0xbcd95cec, 0x30d960e3, 0x31bb72dd, 0x7f37e43e, 0x36000649, 0x0a50419f,
+    0xcee6f398, 0x328b5fe4, 0x02f7bb58, 0x28144f72, 0x0b628a14, 0x0cfeef0f, 0x5d91cf98, 0xede0ef4b,
+    0xcdea01e0, 0xb2548333, 0xd712d592, 0x8d04024e, 0x64984680, 0x236541c1, 0xf158251a, 0xf9cae06a,
+    0x4a7fca35, 0x7a89e874, 0x260c63b6, 0x07b70b53, 0x0165a929, 0x4540c57c, 0x7cb0bfb6, 0xafe0fe27,
+    0xb6b763f9, 0x0cb775f9, 0x64b61033, 0x1a2e634f, 0xeaacee04, 0x9d4da1df, 0xda183860, 0xb5656da2,
+    0xfca2489c, 0xb251d31d, 0x777205cb, 0xb9ce33b3, 0x0e90245d, 0xc176a84b, 0xf2ccc95f, 0x6ee0614f,
+    0x543494a3, 0xb5323256, 0x72c0bec0, 0xb76e4f6c, 0x5339d228, 0x5777e995, 0x10147e93, 0x00250f36,
+    0x493e5a13, 0x7337717a, 0xb31894a3, 0xdbd8b9a1, 0x0c4cd4fa, 0x7273952d, 0xbbf05815, 0x647b3501,
+    0x7be96938, 0xb5be08a3, 0xa5568f35, 0xa7eade13, 0xe9257600, 0xea2e3ec9, 0x5cc44ef5, 0xe3dd6f46,
+    0xb24185c1, 0x8403d485, 0x9b1ee034, 0xadb97988, 0x41003cec, 0x7d3c375b, 0x2a85b0b5, 0x06808546,
+    0x75dd1fd2, 0x28a9f7c4, 0x49a78a10, 0xe36494ab, 0x8d0758ca, 0xf879ee3e, 0x0f861994, 0x640fe30e,
+    0x9ec3edf4, 0x7685b1a9, 0x9f9a033f, 0x63bee117, 0xe3488601, 0x7572f399, 0xa6fc793e, 0x2b757142,
+    0xcdfd870d, 0x905f641e, 0x36220a5c, 0x2ab18d78, 0x6de506f7, 0xda913de2, 0x84903843, 0xeb34b945,
+    0xff369ddb, 0xfca8689b, 0x6b473710, 0x60ffe60c, 0xa2e97ff7, 0x3395b109, 0xa1560d15, 0xd9a21bbb,
+    0x501f6d1c, 0xc6aabef8, 0xe68202ac, 0xdf306c7b, 0x5823cb43, 0xcdb8cbf6, 0x2728b7f4, 0x10daa4f5,
+    0x93f10076, 0xd80e4f2c, 0xae15714e, 0x4d8f58cb, 0x582581c3, 0x22762d28, 0x0cf14802, 0x52d484f9,
+    0xe963a779, 0x0b68816b, 0x2c796ae6, 0x2cdc06e7, 0xeaa13587, 0xc492191f, 0x4a3fa8c1, 0x07a2eca7,
+    0x65177c6d, 0x0ed736ab, 0x0a5689f3, 0x2ce554ed, 0x06682961, 0xab684f07, 0xafd1e3fd, 0x222dc01e,
+    0x09dd1ea0, 0xd7de201f, 0x73ede7b4, 0x11feb7bb, 0xf93a3a86, 0xf138e121, 0x57b31e35, 0x760e27e4,
+    0x3e5ce7f0, 0xebf5d675, 0x5ca4422b, 0x23566ec3, 0x7c04f265, 0x311baa4b, 0x7552d31d, 0x4ce482c9,
+    0x751d9e2c, 0x4d4e70c7, 0x5b28712c, 0x7131318f, 0xf2b3852b, 0xe6bc20b4, 0x27ffc14b, 0x4c679193,
+    0x0d0bec5f, 0x312427f2, 0x6e8f5dee, 0xd1dccf59, 0x921ffc87, 0xd027672a, 0x33e64feb, 0x7eec7d53,
+    0x81398dd0, 0xb89c8a44, 0xd6f6e4a3, 0xcf2e43f6, 0xcc8fb279, 0xab5d9528, 0xa35878db, 0x65a3b15f,
+    0x4926442a, 0x8c2d2ff0, 0xd075e26b, 0xb1d2e2e9, 0xac1de880, 0xc3459544, 0xf24cb651, 0x03b2ee81,
+    0xb4eecb97, 0x93489974, 0xcce236f0, 0x4c535d58, 0x4efab606, 0x2a1c7dbd, 0xd138f704, 0x92611bae,
+    0x1b885700, 0x8d788632, 0x9b5b3a5e, 0xba244fd3, 0x81a71b99, 0xad0ba4f1, 0x5afb3865, 0xe305d2b8,
+    0x7886ce46, 0x3c67699a, 0xafc41668, 0x65c3fefb, 0x25d2fd57, 0x8dfbf808, 0x04f305a8, 0x8cecc2e8,
+    0xc4678d91, 0x991a5948, 0x6a6a66aa, 0x91e36ec1, 0xef31255f, 0x0cab9e01, 0x9075b582, 0x8316b87b,
+    0xf200b41f, 0x541cec59, 0x173f643e, 0x9d1d4ec9, 0xa3c9761e, 0x8946d984, 0x8beec143, 0x844f959c,
+    0xa7bff356, 0xe57d168d, 0xa45e79c6, 0x0ab3fae8, 0x4575fdc6, 0xba5aac47, 0x034c3334, 0xd69269bd,
+    0x79242291, 0x0555e254, 0x93d93adc, 0xc0d49715, 0xe2cfc541, 0x871a623c, 0x00622007, 0xcae1e9b2,
+    0x6849a52d, 0xf43d4771, 0x729ff43b, 0x8f3e5183, 0x12014ab3, 0x5756b27b, 0x8aa6c3f5, 0xa2cd8218,
+    0xc7034219, 0x8d2cbb95, 0x0420a502, 0x28e0656b, 0x22c2ddde, 0x8aa40580, 0x1cdba4f3, 0x4ac05a68,
+    0xb3f578d8, 0x7dbf8cb8, 0x25ce837a, 0x4f4b5cef, 0xfbd8cbd7, 0x2f541542, 0x1104bd0f, 0x59aae4a3,
+    0xcb75b8f5, 0xfa08c3bd, 0xa1d445cc, 0x9b774b14, 0x2be78489, 0x5ba08a49, 0x398c42b4, 0x4e77285d,
+    0xe478287d, 0xbcd55117, 0xdec3186c, 0xd03463d4, 0x4c4b89f0, 0x28608914, 0xaf585f52, 0x9eae4c30,
+    0xa062b326, 0x6e1b3399, 0x83d82437, 0xe059beaa, 0x4c62de1f, 0xe514d1a6, 0xb9dc6a65, 0x5b9dbafc,
+    0xb1cccdc0, 0x25a2cf34, 0x6d5aac5c, 0x2e37b3c3, 0xddd2a06a, 0x8982bcad, 0xeda047f3, 0xeb40dc21,
+    0x97a0052e, 0xe7623f9d, 0x68e9a140, 0xb5161fe1, 0xbd37d74d, 0x262b1545, 0x0705cc38, 0xe7f0e120,
+    0xe589a9c3, 0x257f1669, 0x0a964d6d, 0xcfa69c8d, 0xe1d91373, 0xb92711ba, 0xc208217d, 0x3d79d65d,
+    0xb479c09b, 0x216cda12, 0x8b15919c, 0x086edec5, 0x033b7d86, 0x7939c2c1, 0xe840df99, 0xe4f02edd,
+    0x70b11ab9, 0x8d116b71, 0x4a38e04d, 0x8f546fb4, 0x4d921469, 0xb1d396ee, 0x9e4b1396, 0x47474596,
+    0xca26e5e6, 0x5665d3b2, 0x9747a16d, 0x10099225, 0xd0f0a7c4, 0x51f370d1, 0x6a6c29eb, 0x815589cf,
+    0xdb17bbfd, 0x5e38a9fb, 0x625c065e, 0xe5949d6b, 0x33a81705, 0xfb415401, 0x883677f2, 0xa964ea2b,
+    0x1a96ec98, 0xe97a91c5, 0xea8e1ea6, 0xcf8179b9, 0xf42f9426, 0xf4ef8056, 0xf4e93d62, 0x378f5ddf,
+    0xc5ec6ef5, 0x20dcd675, 0x58512482, 0x92459334, 0x4fc1ae28, 0xe79467f9, 0xc2a29b94, 0xfaf754ec,
+    0x7b10e68b, 0x3e6a09e4, 0xe61bcdb0, 0xa24899fb, 0x70a0ad03, 0x3be47843, 0xbb4bc542, 0xe0aaf3df,
+    0x2e942312, 0x82460a10, 0xca9b237b, 0xb6f64f18, 0x0e7ab17f, 0xc33de1af, 0xdc0c51ef, 0x29e4ee5d,
+    0x525882c3, 0x1414b655, 0x69907fda, 0x2e25f3e5, 0x4bf228bd, 0x1b6f4865, 0x47518fcb, 0x9bea70e7,
+    0xa9ab0146, 0x8749ebde, 0x9fbf438d, 0xac37f82f, 0x7f16b251, 0x8b8f9a1d, 0x4c59f377, 0xb6b11ae2,
+    0x45354ac1, 0x536fd82b, 0xc87ca077, 0xf4702d89, 0x8493b75e, 0xdd15fba7, 0x64093a6d, 0xe5b2b564,
+    0x873b8208, 0x4213464d, 0xcc9efa06, 0xf38e18ee, 0xd8c8f8aa, 0x99bafa38, 0xcb242786, 0xccd66c04,
+    0xc90e538e, 0x4b01d61c, 0x3b9e5463, 0xd7f740cb, 0x2f70ed84, 0xe2734ad5, 0xca881862, 0xa00fd3a6,
+    0xe6505d17, 0x28dc4474, 0x826bcb1a, 0xb499e2dd, 0x57311a33, 0xf23a4b8a, 0xfc956b6a, 0xae5abe32,
+    0xe662262a, 0x313ea65c, 0x12cc0907, 0x4ef8c50b, 0x95c4c0ba, 0x8df56d31, 0x3a0befca, 0x87f3f78e,
+    0x2527ca09, 0xbebecb0a, 0xbe0163b4, 0x8cf3e8d6, 0x2cdaeee2, 0xa6694896, 0x6aa3ddb9, 0x5daacf3b,
+    0xa9cf49a5, 0xb4e7d58d, 0xda203af4, 0x91976932, 0x511d2d89, 0xda08e713, 0x6e9ab855, 0x8acf63cd,
+    0x7bdf135b, 0x74ac00da, 0xb662d7e3, 0x8d3f9b9a, 0xa9eb2172, 0xed2ad97d, 0xfb3ddcbf, 0xd900c560,
+    0x2174de60, 0xcea5f1ff, 0xaa87e277, 0x835efb14, 0x76a788bc, 0x31210ce5, 0x1cde3d70, 0x1ccee910,
+    0xedee5de8, 0x6d684ebf, 0xea8216c6, 0x18db4322, 0xcdf4e8db, 0x831d5b18, 0x0b87a7b9, 0xf1f252a0,
+    0x435821ee, 0xd882dc3c, 0xaa387905, 0x81d036b4, 0x743c9b96, 0x925791ca, 0xa30a1249, 0x05fceca7,
+    0x4b51fd4e, 0xe350e49f, 0x3787508e, 0x2ba8a14b, 0x8eb40da5, 0x5266d8a2, 0xc2bc9caa, 0x74260e53,
+    0x0476c16c, 0x703730ad, 0x8fe358e0, 0x5a43cdc3, 0x2fb775fa, 0x69d67734, 0x2c831287, 0x51dda46f,
+    0xc4f29a07, 0xd19fe2ea, 0x471f2a66, 0xcbfc39c4, 0x86c828e2, 0x743882f3, 0xf6e7cc1d, 0xda8516b8,
+    0x9226ba3f, 0x27eee625, 0x65cf4161, 0x8e2fbca1, 0x83b699a7, 0x5c7d4cde, 0xa179391a, 0xf86d5c55,
+    0x1ae1e884, 0x6cc5890a, 0x51746c0b, 0xe16c722d, 0x0a2fe918, 0x8f2e53ba, 0xd59396a5, 0xca19d95d,
+    0x8e235225, 0xeb6737d8, 0x5e591a95, 0x68a34198, 0x21a2240a, 0x6445693f, 0x48e72811, 0x01264683,
+    0xbfc0e063, 0xb6cbcbb8, 0x6ce0ab10, 0xc26fbdcd, 0x95c7c62a, 0x8f2cfcca, 0xd701a01c, 0x697204a4,
+    0x1b684dc2, 0x71da47f2, 0xd05ec149, 0xe660fc72, 0x19801809, 0xd972f11d, 0xf3e9d87d, 0xdc6ab910,
+    0xea4d08ee, 0xba64df81, 0xf7a75427, 0x30979095, 0x41a2271d, 0x5034293b, 0x7a7d1513, 0x6a4be4b1,
+    0x254f97cd, 0x3bdbcab4, 0x51936649, 0x1b53d509, 0x00beca50, 0x0ca07052, 0xe6b1b0c2, 0xe663cdcf,
+    0xd7588765, 0xd2a57ca0, 0x413bdf68, 0x52fd566b, 0xa35dc2fc, 0x243bc3f1, 0x775d5d9d, 0x98c1b00b,
+    0x7895c14b, 0xa0888dfc, 0x86416132, 0x85e5602d, 0xd5e4d5a3, 0x94899679, 0x6f2ec57a, 0xa7c9a326,
+    0xf8e2a1b1, 0xea8ea282, 0x13a40c91, 0x96555012, 0xb28563a6, 0x73abdcfa, 0x8e6d3c55, 0xae478da3,
+    0x1e536b5a, 0x3eb38202, 0xc8dc435d, 0x4de3982d, 0x995a568f, 0x632e3bd8, 0x22b26304, 0x4193aae6,
+    0x4c5a88ad, 0xc70f6402, 0x691ddb56, 0x1e904b00, 0x4c043458, 0xd718f422, 0xb0576c34, 0xe34571a8,
+    0xeef826b3, 0xa1fbcc80, 0x8032eac0, 0xa66e6775, 0xc78839cd, 0x3c5d601f, 0x2ee12965, 0xe95bd908,
+    0x70d382b7, 0x38f625cc, 0x6f7c4bcc, 0x23ed0949, 0x47aa075a, 0x40da4589, 0xc72233ac, 0x74d5d455,
+    0x202b2683, 0x7570c322, 0xc61f3447, 0x7ee76ff7, 0x36ee30be, 0x152e0422, 0xd3d4a613, 0xe510d999,
+    0x668059cc, 0x00f6c30e, 0x9cd9928f, 0xaea5ab6c, 0xeba3b30b, 0x619b79be, 0xc63777b1, 0xa88004ab,
+    0x58f0eeca, 0x0c4a546f, 0xd91e8e8f, 0xaad361f6, 0xbdf83c05, 0xe68e73fb, 0x20f3d0f6, 0xf0a9c57e,
+    0x578b09a0, 0xd6d12173, 0x7d984a04, 0xc0cc7775, 0xd0258bb0, 0x76f334a6, 0xa2b18e76, 0xc707034b,
+    0x0264536c, 0x88064fcd, 0x5dcba388, 0x1564b291, 0xbf9a91b3, 0x6e325f3e, 0xc79a3de1, 0x8b08e0bd,
+    0x0eae9961, 0xfee8758b, 0xdcdcebd0, 0x7754bde4, 0x99ad293f, 0x7756df77, 0xba8ab0dd, 0x41e4a9a1,
+    0xfbb37f8c, 0xa3355cf9, 0x3418b12e, 0xdf6ffdec, 0x108f24e4, 0x6c84f2e6, 0x4a91c780, 0x50f8d2e9,
+    0x172db85e, 0x7631f819, 0x24bc53e4, 0xab63b558, 0x28408ee0, 0xde75bbca, 0x08d3584c, 0x64a26a7a,
+    0x572e2607, 0x639a2285, 0x8d471666, 0xa61afe47, 0xe8ff9dfb, 0x2075787d, 0x479cd79f, 0x72ad1df2,
+    0xec6c8086, 0x3c6e00c2, 0xd61772e0, 0xc02ae347, 0x38370047, 0xb0bde5c9, 0xca6dad51, 0xd99bf1a6,
+    0x4174e640, 0x09cabaf7, 0x08cdc5d4, 0xc91edd37, 0xccaedf1c, 0x04075f1f, 0x99b3ab16, 0x699f2714,
+    0x063dcd37, 0x60d1997e, 0x7f79951a, 0xafcdeae5, 0x1c382cdd, 0x368bf199, 0x155801d3, 0xc5e95937,
+    0xfed6e5ec, 0x695f4a9c, 0x8c00cabb, 0xa9ae0234, 0xe7a1360b, 0x31c88a94, 0x00b5226c, 0x403200c6,
+    0x171ceb68, 0x5b74ca91, 0x2ab922a7, 0x92d79ad6, 0xa9e2a5c2, 0x16751703, 0x2d1cf5db, 0xfba46c97,
+    0x93b9bda5, 0x368834f6, 0xb99ee9cd, 0x0a4e3958, 0x86b73c3a, 0xca356294, 0xd14f7dec, 0x7c2627a5,
+    0xf8414c0f, 0x840ec02a, 0x55870696, 0xdb912381, 0x7ef39494, 0x84a1841c, 0x4e1aabf3, 0x866f5b7c,
+    0x6870c3db, 0xd3b737ab, 0xb98c4b79, 0x3477c2ca, 0x677beb15, 0xe0baaf73, 0xfb938430, 0x8802663e,
+    0x00000000,
+    0x52a67f8a, 0x72402b2e, 0x5eb0a1af, 0xf55b1d68, 0xf9d1f125, 0x7ef4eea8, 0x2ce83328, 0x6404173c,
+    0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x40000000,
+    0x00000000 }, /* 10**00000000000000952682052708737863580809701474965303268004804280081527972154833\
+                         87004752771599292606210513399154418065180265231976520474104247304665780191232 */
+  { 0x00000000,
+    0x0513f294, 0xba6bf130, 0xb9a37f2d, 0x74809f93, 0x5549a12f, 0x1fc4116a, 0xa8ef8d85, 0x390aa9ae,
+    0x17b3ab2f, 0x5cac0a7c, 0xbb4ca3f5, 0x6665cd05, 0x70c15ea6, 0x9697dd9c, 0x03aae7a9, 0x60e4e579,
+    0x58c3ef7d, 0x9a1e4076, 0x168c564e, 0x5d397974, 0x8d84b94c, 0x9f35b0b7, 0x7438b1c9, 0x3fd42ccf,
+    0x24065cb2, 0x801a4601, 0x7bdf222a, 0xe63386d9, 0x5b804ab4, 0xbeead32b, 0x6765e1ac, 0x05e5bf5d,
+    0x57c5c674, 0xb5b550bd, 0x3524a806, 0xda8a42bd, 0x22fb01d1, 0x83c4cc5d, 0x8ab3b5d4, 0xfb6b750e,
+    0x8271ed88, 0xd69f6615, 0x2079d341, 0xd15770ac, 0xfc44241c, 0x17adbc0b, 0xe07e3f39, 0x118f8b19,
+    0x41b60297, 0xb94df0cb, 0xc7fb4fad, 0x5e153050, 0x07e096b6, 0x969966d7, 0x16e456c4, 0x25c6d2a3,
+    0x8b42d327, 0x81a3627b, 0x745fa371, 0x6446546f, 0x4838c283, 0xb6e800aa, 0xea6c9673, 0x90abeb9c,
+    0xab9fa4da, 0x362f486d, 0x0718f078, 0xf04e2be8, 0x4b99c0a4, 0x38994a33, 0x52a67007, 0x46bf010f,
+    0x96de0efd, 0x6c8030c4, 0xf7ca1983, 0xd4ade8e8, 0xb3006063, 0x50332ee2, 0xf5be379b, 0x8e56388f,
+    0x48c420c9, 0x0b78bb83, 0xbd5fd49f, 0x3cff63b7, 0xf9ca2d8d, 0x3e1a5b34, 0x86f58fd0, 0x5dddeebb,
+    0x56e7b5f4, 0xd5d58a1e, 0xc568e11f, 0xe6cb6357, 0x78026d69, 0x9d99411c, 0xceebf995, 0xa800daa5,
+    0x1abe5cde, 0x24bf2088, 0x2dff3e7e, 0x2a1fac19, 0x27ad857a, 0xbb49f11a, 0x02b40c92, 0xdae8aad7,
+    0x7e120fac, 0xaa4f4fe4, 0x28d59a66, 0x72cf74d3, 0xa18eb12a, 0x16b44c6b, 0xed5a57eb, 0x4ae1b93e,
+    0xbf195a4f, 0x5b79746f, 0x1f094272, 0x89ee4be9, 0x4db908f7, 0xa1f291ad, 0x9340877f, 0x90971ad8,
+    0x8539e14c, 0x39b03571, 0x0eb90512, 0x2a8c867c, 0x610892d7, 0xf54ef133, 0xd6088e1d, 0x2c474d81,
+    0xef9e0db8, 0x96c5bbc6, 0xd17be464, 0x137a08ff, 0xe0c68847, 0x6a0ed8d4, 0x046896ba, 0x3ddb48d2,
+    0x7eaf8aa1, 0x92ec1f6b, 0x78e3dbc4, 0x038d79fc, 0x04aa9013, 0x5118bf4c, 0xd174db20, 0x9109d27d,
+    0x28536b3e, 0xd0ea0a12, 0x89f72468, 0xb4f1e6f6, 0xad891391, 0x239246e2, 0x0a45d0ea, 0xc9bc0990,
+    0xeb1a1d1e, 0x4f0d74a5, 0xb0844d0a, 0x82823d9f, 0x841e413f, 0x72e84e77, 0x999736bb, 0xb844362a,
+    0x56ebba04, 0xa0c707f9, 0x24950690, 0xd807d214, 0x0eda44ae, 0x6cc5c656, 0x77c47e5d, 0x912fdbe5,
+    0xd105c929, 0x8e683e49, 0x8936ddee, 0x28f83a47, 0x9c3af4c1, 0x34c73a45, 0x0e1c48bf, 0x7d01b101,
+    0xb2aef58b, 0xd268994b, 0x2d4657ec, 0xa2ac5a5c, 0x01684b51, 0xa7178540, 0x1b273cbc, 0x70b47a97,
+    0x6482784f, 0x64c8f5e5, 0xd1eadf42, 0xc20086c8, 0xb3656f77, 0x87045952, 0x62f8433b, 0xdef651ce,
+    0x679d6da1, 0x109d09d2, 0x0b14ac70, 0x0c6ce717, 0x7d1a1b5d, 0x3d269e8d, 0x12f579a4, 0xffb4447a,
+    0x38031eda, 0x233bc521, 0x5808e782, 0xb4c6f612, 0xe9a80b9d, 0x2b28a018, 0xed3ce08b, 0x1f589bc7,
+    0x26d24c9f, 0x06f52229, 0xf3300d07, 0x828e7662, 0x6573f368, 0xa5b9e76c, 0x4c599008, 0x46b4cd7e,
+    0x76e93651, 0x905752c8, 0x719b3ec5, 0x4d6aa814, 0x133c9b07, 0x08300040, 0x5ca94108, 0xef63ed0c,
+    0xa59202cc, 0x93fe7472, 0x3b9ef9f0, 0x95ea0be9, 0x0ed253dc, 0x541afac5, 0xd5e2e76f, 0xbe5d9f73,
+    0x33f1f064, 0xa68312c1, 0x09157632, 0x25582e37, 0x8e7d7326, 0xdd0189e1, 0x7ab7d686, 0x9c2cd52f,
+    0x9073e856, 0x00668a96, 0xf327238e, 0xa73c20b1, 0x7fd704d6, 0xc98d281e, 0xda37c2f9, 0xbd4ee2d3,
+    0x2d2a3ba1, 0x7e05459e, 0xc6305ace, 0x7c6a2783, 0xf2fa9ec6, 0xab8e2bca, 0x22605b6b, 0x32064428,
+    0x13281b2f, 0x9393cadb, 0xb4e81111, 0xbe466d16, 0xbe6d81dc, 0x88dc4f4b, 0x375763a6, 0xc101bf4d,
+    0xa6a25706, 0x45307c67, 0xead36c72, 0x299e5875, 0x2c8562ce, 0x2c3766f6, 0xd167c864, 0xe4701e21,
+    0xf6fbd4e5, 0xd15df312, 0xfe55cba4, 0xe65abf16, 0x96cac153, 0xae3914e8, 0x14d8d01d, 0x59f40649,
+    0xbced72a1, 0x13f40d73, 0x52a0d6be, 0x9a0ddb17, 0xa21d85ef, 0xc84cd85f, 0x7e81ed23, 0x7f9c3d8b,
+    0xa4349128, 0x9b05fd53, 0x542a604d, 0xb6a74172, 0xf6d8afcf, 0x1056e00b, 0x95551af9, 0x88f09326,
+    0xa35af0ad, 0x7adb7350, 0x95a2eb27, 0x6b793c62, 0x7f4ef97c, 0x7070be42, 0xc752b532, 0x0428e7ce,
+    0xa158a878, 0xf20ff275, 0x67d76078, 0x70643dd9, 0xcc0eedca, 0xc7d961c1, 0x49747a64, 0xac8101d9,
+    0x21218dce, 0x95652668, 0xb5fafcec, 0x9f1ab771, 0x2fe19024, 0x78ec65fd, 0x5c6bfe70, 0xd35e9765,
+    0x46b869ad, 0x6b904bd0, 0x097d99e8, 0x5a7c0140, 0x22b491d6, 0x5a0a46d9, 0xc062cfa6, 0xa666093f,
+    0x9b5e2518, 0xc1a8591b, 0xbfd3f418, 0xaeda4fd4, 0x3d476979, 0xaac65033, 0x1fa4e518, 0x3bb89799,
+    0x65cb3cdd, 0xacc33c88, 0xaf13c721, 0xf4b90e01, 0x20f3ea75, 0x81de6f63, 0xad4c6466, 0xd2128bde,
+    0x67c94e79, 0x52af6d3e, 0x3baace07, 0xd94b7afe, 0x2f616c5c, 0xae4132d4, 0xe8f259ad, 0xd2d383b7,
+    0x7acdc23c, 0x2d9728ec, 0x9c0b4719, 0x0f83f82d, 0xb5e2b782, 0xdc7811a0, 0x8a67208a, 0x10030fe0,
+    0xf830d098, 0xba4cb3cb, 0xa42f8388, 0xb7aca377, 0x723abda0, 0xfa6c5743, 0xcbe597e0, 0x6c79b45b,
+    0x4c959093, 0x2db6681a, 0xe2d43ca8, 0xad279740, 0xb0919fef, 0x47caead0, 0x7db2d7e9, 0xb0b119ce,
+    0x94dd6b61, 0x99d997cb, 0x0e5fa7c7, 0x12ba2602, 0x27c20cb4, 0xb251c8d2, 0x7c596e44, 0x305b234c,
+    0xde4407a0, 0xaffa83dc, 0x9688e02a, 0x560aeafa, 0xe8da5c09, 0xa7dda893, 0xe09635dd, 0x46f9fffe,
+    0x57b3ccad, 0xe8c91df8, 0x0316a704, 0x3c34bb36, 0x1ac4645e, 0x8d06448c, 0xec7006bd, 0x30062f27,
+    0xbc842507, 0xdda5b8a7, 0x03183be4, 0x95d477f7, 0xaaabe4b6, 0x7a15ea5c, 0x76458794, 0xc69f5e51,
+    0x24cda5fd, 0xae2972fd, 0xc678b896, 0xe2921c76, 0x4eabb087, 0x4c3eb695, 0xfcb28568, 0xd65a4d58,
+    0x2df15845, 0x711e3b0c, 0x4dc447ce, 0xcb877d6f, 0xd2f0d5a4, 0xdbd75a81, 0xedcd4d60, 0xca84ac75,
+    0x1d44d4a5, 0x4f1bad60, 0xeb8ea291, 0xadcd5a76, 0x2428c376, 0xf9650e0e, 0x7f008ec6, 0xbbc8ba6f,
+    0x7385eefe, 0x8240d3d3, 0xcf79f0ec, 0xeac9c8af, 0x5900a461, 0x73e74f87, 0x61310407, 0xe513ff06,
+    0x32126059, 0x32e81fff, 0x7add3c6f, 0xa47ab295, 0x211145d4, 0x3529dadf, 0xe30e1ade, 0xf4a8f2b5,
+    0x51281eac, 0x5f66c6a8, 0x0e4dcf11, 0xad4e4e12, 0xc740b85a, 0xd29389d4, 0xb9123aaa, 0xefc1261a,
+    0xa34486ca, 0xd9094783, 0x0fea0aaa, 0xd18580cd, 0xb6927f41, 0x79b9e375, 0x89367a98, 0x6cbe0160,
+    0x97d340ad, 0xbff0e5d5, 0xb7c8694a, 0x08b8349a, 0x5e722629, 0x8d7698df, 0xc8ab4ad3, 0xc34bae51,
+    0xe5639c3f, 0x494819ea, 0xf74b93a8, 0xf18ae5e3, 0xf448bd7d, 0x0bb4f35a, 0xdb7fc88c, 0x2ab8828d,
+    0x75baf972, 0x67e4c2cb, 0x20a267e4, 0x7776d3d6, 0x27154b49, 0x66c9a2fd, 0x04075b46, 0x8b9edb74,
+    0xb4d2d795, 0x3e8ef8ba, 0x5aec40e8, 0x736e3abf, 0x34535a7c, 0xe4ab5ed2, 0xb078765d, 0xa1cfe139,
+    0x2fe41732, 0x713f70a6, 0x760c46a4, 0xe8bb305e, 0x78f33d95, 0x69290141, 0x0eef1125, 0x5271f7ac,
+    0x4d515185, 0x681835c4, 0xab405fc2, 0xa83aba72, 0x630ba72f, 0x60b8b01c, 0xda057f60, 0xc3accad3,
+    0x685e3efc, 0xa004cb91, 0x3508e006, 0x8cf25687, 0x30adeb3c, 0x7c01e87c, 0xcf1b3c13, 0x9f276a4d,
+    0x6fd1e7f6, 0x523ac949, 0xd836c762, 0x6738064a, 0x5a134d28, 0x5681b000, 0x0be10bc4, 0x76608090,
+    0x2172d961, 0x6c384c91, 0x188b078a, 0x43c80298, 0xa97cd03c, 0x8ca34340, 0x408eaa20, 0xd473012f,
+    0xb7907020, 0x874ae2da, 0x550d9167, 0xe6cc0783, 0x83aa1e9f, 0x8b209745, 0x1b51873c, 0x717f8458,
+    0x04f8c87f, 0x57d96516, 0xc61b250f, 0x9cf53718, 0x72ee7b73, 0x1899c2b8, 0xd9e197bf, 0x34d17103,
+    0x47f16029, 0x610c4ada, 0x2b679304, 0xcfe3bdc4, 0x7e8e6521, 0x2b071f45, 0x9b2fe2e1, 0xf37bb16f,
+    0x95990870, 0x9016d239, 0x2c5b1b41, 0x57e05229, 0xdda65b0b, 0xf458bf3c, 0x2d3fa472, 0x636a85f4,
+    0x2f0db860, 0x6f2c4e0a, 0x325d5f58, 0x4b86922e, 0xf299eaf6, 0x99ca8b2d, 0x1d2993ae, 0x665b51f4,
+    0xb24f8229, 0x429a1ee9, 0x2b42809a, 0x242293e2, 0x1b667797, 0xc8d58cfc, 0x24d9b949, 0x48dd6361,
+    0x9bd1c389, 0xc8c01ce0, 0x1285e149, 0x031d735f, 0x43c86a95, 0x4b3a4cfd, 0xf7abe36f, 0x016e3581,
+    0x82f53cd7, 0xc43ca7e4, 0xadbd99ed, 0xecfdd5b8, 0x82106e21, 0x41ab722a, 0x7a61d4ee, 0x2e1864a5,
+    0x7d4f0cf7, 0xcfafef74, 0x331c71f7, 0x1a87ec10, 0xae5899cd, 0x87af5ca1, 0x3b3c4384, 0xaaa717d1,
+    0x88a50d39, 0xff969882, 0xb3be82ce, 0x4c3c2bd1, 0x3d31494d, 0x39ecc1f8, 0x9462f06b, 0x78f61080,
+    0x1104ea6d, 0xef8d6145, 0x305dc900, 0xc85eee7b, 0x0c510368, 0xcbc8a8a7, 0x8ede8a73, 0x1e88b124,
+    0x40d2547e, 0xa344424f, 0xc1600a7e, 0xf353d631, 0x308ecc06, 0x60234da1, 0x42aed12a, 0x2db29532,
+    0x01a7ba39, 0xffea300d, 0x2c0df8da, 0xafb31ce0, 0xddd704ca, 0x9c92d308, 0x06a4454e, 0x20ba9c31,
+    0x58bdbd8c, 0x436515c7, 0x7527c8b3, 0xf0c33e9b, 0xaf1cec23, 0xad325367, 0x3e21fabb, 0xb2fe1c31,
+    0xdfbba449, 0x90ab1d0d, 0x56718274, 0x868dafc5, 0xc44cceaa, 0x715707f1, 0x2ea697d8, 0xf780f4e8,
+    0xda349156, 0x118061ae, 0xdb666024, 0x99c84e51, 0xa0bfafe5, 0xec7bed82, 0x56b94bac, 0xdc245bc8,
+    0xee276f58, 0x77dc6042, 0xbc05b00c, 0xfff1a94b, 0xcf8b2ef8, 0xbc78be62, 0xb4d59f6f, 0x49666078,
+    0x6d32a8e9, 0xa4af5aea, 0x8f87c151, 0xc9235546, 0x03868bc6, 0x03260e9e, 0x64b3da9c, 0x99516c4b,
+    0x8247af5f, 0x7cad5cdd, 0x620e4421, 0x6a6cff4d, 0x968616d9, 0xabb3cbe1, 0xe823004c, 0x38b16f1e,
+    0x41edd198, 0xb5eb3dda, 0x5115fa7d, 0x49f6237b, 0xf6d5668f, 0x2d009d44, 0x4234f9ac, 0x73a2bd26,
+    0x1bfbf1fd, 0x1cc61d33, 0x5ff5083a, 0x1f2cef54, 0x21148fc0, 0x95e9821c, 0x4153280d, 0xd6bdcf95,
+    0x6626ea93, 0x7c04a031, 0x7f40c063, 0xb20b487a, 0xca8ac70e, 0x335c4efe, 0x1291b3d8, 0x80cd0fb7,
+    0x3da5e79a, 0xa45c7739, 0x945bf9f9, 0x703e0544, 0x0177461a, 0x4871e6eb, 0x66cb7fb8, 0x96fe7c03,
+    0x5d1aab13, 0xd03917bf, 0x2fd99620, 0xb4e42887, 0x92c9843b, 0x87b3a52a, 0x764dfaae, 0xa8486d62,
+    0x9574b015, 0x2705fb6f, 0xd50976ea, 0x1e14887e, 0xfef6c6c0, 0x4c6efe9c, 0xcfe2ee0a, 0x0ef2f4c7,
+    0x1746a8cf, 0x6c635646, 0x412efd2d, 0x60884688, 0x13a8371a, 0xb4866b1c, 0x9373c709, 0xf399b1ce,
+    0x2633c838, 0x29ceb0ec, 0x67886753, 0xdcd296e6, 0x3c0409c4, 0xed8c0e03, 0xe324dd64, 0xe9cb8cbe,
+    0x1b2d7db7, 0xcdca2b1e, 0xdb79cf63, 0x720d7f49, 0x6e54480d, 0xcc77cfbe, 0x607bc8b2, 0x4b4938cb,
+    0x0238915f, 0x2e97c933, 0x3efd565e, 0xf5c4067c, 0xe5fe95c5, 0xad279fb5, 0x1aad8290, 0x6317c5d1,
+    0x79c9e7cd, 0x1740958e, 0xcd814211, 0xd3944a44, 0x65740335, 0x1549dd10, 0xf865defb, 0x3008a9a4,
+    0x3f711dbe, 0xd6cfc6be, 0x512dbd5a, 0xeca966a9, 0xae14e91a, 0x8ab930b8, 0x07fcbd66, 0x502b0530,
+    0xc32f45b6, 0xb48a92d1, 0x5532d685, 0x683c3af5, 0x4659c860, 0xaff36e9b, 0x63a04931, 0x80e5de02,
+    0x34b7b393, 0x480bc808, 0x33ad3feb, 0x7adde0a1, 0x13327d90, 0xa9718811, 0xf8b65220, 0x1ef3ffa5,
+    0x5990d578, 0xfcd8e44a, 0x531430e5, 0x5c6b552b, 0xd6a1f811, 0xfc58394e, 0xd82797cc, 0x56024ff6,
+    0xda9f1452, 0xe20d9f55, 0x3814d5ba, 0x55e73315, 0x4326505e, 0x26fc3c50, 0x7e2c26bc, 0x47d6f462,
+    0x935be7ea, 0xd8e6eb62, 0x61ab057c, 0x2dc0d9cf, 0x7eb957a4, 0xeebf4ea1, 0xfca58afc, 0x1a6392db,
+    0x7809cdee, 0xf668ae3d, 0x1844a67e, 0x36eac38c, 0xec12ea1c, 0x6619d597, 0xf5200d68, 0x287e4b4a,
+    0xf31c7577, 0x397b2b34, 0x2e0b52ce, 0x8f35e64e, 0xdc46e08b, 0xf0ab6a69, 0x3a399d36, 0xc0fc8fc8,
+    0xf8a3aa45, 0x014d534c, 0x1bfa0462, 0x8905b39a, 0x18bee5bd, 0x1b1a56d4, 0x712d579a, 0xfaef611b,
+    0xc2b5039b, 0xab80eec8, 0xe6671423, 0xb1e8563a, 0xd7e5f698, 0x2a04a510, 0x62dafb58, 0x8c847328,
+    0x545a413e, 0x6a429365, 0xa7b9f3bb, 0x6f5eaa70, 0x8a0d1af2, 0x2d42d7d5, 0xf2f3fd0b, 0x8aec867c,
+    0xc66a74f9, 0x7646a66f, 0x0dc94c86, 0xe39e51f7, 0x43a51bbc, 0xc8ae3c59, 0x2755407b, 0x3bcc5368,
+    0xb851b80e, 0x6c83fd74, 0x7ff4d8fe, 0x94ff307a, 0xee4fa49b, 0x6b9d9d43, 0x0ad65bee, 0xa2bc3c58,
+    0x3f0a29cb, 0xd7ad0e5b, 0x186117de, 0x0126919e, 0x4e7619bf, 0x7485569d, 0x41f20d61, 0x31de04b0,
+    0x4224f5b2, 0x40aa99ef, 0x86d3fb9f, 0xf92f654f, 0x55c60299, 0x47164b20, 0x5ee1ea7e, 0x40c3303b,
+    0x5d9aea16, 0x5e91a291, 0x7341d5c4, 0xc99538e3, 0x378f925d, 0xb189864d, 0x2fb56fd9, 0x6954dc83,
+    0xbcd2565b, 0xbb590c3d, 0x33376abd, 0x6c28f2a1, 0x4345c899, 0x0b90825b, 0x844f3acd, 0x46467763,
+    0xd99ec724, 0x37ea087b, 0xed5508c8, 0xfe6af929, 0xa3598111, 0xbd0dd3c0, 0xba498f01, 0x494951f8,
+    0xce901e78, 0x13e0db84, 0x95c21842, 0x0b1c7685, 0x0f724e67, 0x6a4b4592, 0x4b55a85b, 0xcb9483e1,
+    0x477944f9, 0xc28906b7, 0x1032405d, 0xb2876fc0, 0x6b234439, 0x2c3462dd, 0x25a75377, 0x67611607,
+    0x842ac2bb, 0x5b106ad9, 0x5d18fa69, 0xfb003211, 0x51c77bf2, 0x777f57e9, 0x44616a44, 0x896b910a,
+    0x7d863d5a, 0xcb598e80, 0x3ba549e6, 0x774df300, 0xda029a17, 0x77c8c8df, 0x93aa8ee3, 0x47994b15,
+    0x5d2768b3, 0xcd74b745, 0x08c684b3, 0x0bc8ddb4, 0xf974e88d, 0xc6a71966, 0x5536668b, 0xad976f6e,
+    0x700dbcfc, 0xdce21d5d, 0x091de299, 0xc11a2367, 0x4fa3e254, 0x3387ab43, 0x9df05e65, 0x9331fad0,
+    0x1e330ca6, 0x94bd4427, 0xf406e5e4, 0x10c6af6c, 0xc91d50ef, 0xb79810f5, 0xa9c24bf1, 0x67cd6c87,
+    0x9f03afdc, 0x8477f042, 0xfe7309a0, 0x82fe8434, 0xd8e8a3a6, 0x7effaa0c, 0x0ba2287d, 0xa2e41164,
+    0xe3e84395, 0x191226c5, 0x07dbd8e2, 0x02706329, 0x92a29168, 0x0c9c0d94, 0x5bd2082b, 0x552f8c54,
+    0x5a200337, 0x925c9aa0, 0x368fd14e, 0xcd0122a1, 0xac5237ea, 0xab8a7938, 0xdc670dcd, 0xa5e10c12,
+    0x9243d051, 0x3b1cdd26, 0xf7a2ad8d, 0x486eb0db, 0xb1b8e6e8, 0x65125bdd, 0x4ba5365c, 0xba98cdca,
+    0x00000000,
+    0x29533fc4, 0xb9201597, 0x2f5850d7, 0xfaad8eb4, 0x7ce8f892, 0x3f7a7754, 0x16741994, 0xb2020b9e,
+    0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x40000000,
+    0x00000000 }, /* 10**00000000000000476341026354368931790404850737482651634002402140040763986077416\
+                         93502376385799646303105256699577209032590132615988260237052123652332890095616 */
+  { 0x00000000,
+    0xea078263, 0x3cb55c92, 0x9bf4f8c3, 0x33a3b6fd, 0x1e69913d, 0xe20af759, 0x20c36138, 0xca1862af,
+    0x8547d948, 0x011d50e8, 0xbf52b4cc, 0xfb65fd03, 0x4605d864, 0x86746eb5, 0x7fc11ebf, 0xbe5fdc72,
+    0xc0b1a3cf, 0x4b189f6c, 0xe717c170, 0xb2d8be6e, 0x85e92344, 0x818816ca, 0xb3872d8a, 0x45927ea2,
+    0xf7c77882, 0x900ed80e, 0x93e15f52, 0x244b7aa8, 0x3d9be6c6, 0x35442f99, 0x7056dfe5, 0x3355b82a,
+    0xa03fab8d, 0xef13f0e3, 0xec2ea97a, 0x59efe9d4, 0x5cf4e3bb, 0xbcb496f9, 0x22303bc7, 0x7fd431fb,
+    0x5a98cbea, 0x7f28a7d3, 0x19a5468e, 0xc9d27f66, 0xf8156900, 0x3dc4bed4, 0xf4d939d1, 0x3ae9d6c4,
+    0xf12789e8, 0x95821391, 0x5d3d770c, 0x4ef310d2, 0xf22088d3, 0xe54247de, 0x470e0b75, 0x4d39269d,
+    0x270abe5a, 0xd0de2529, 0xa3d91525, 0x814aeb9e, 0x4109f214, 0x83c446a6, 0x982c4780, 0xd1ce7a68,
+    0x596d1086, 0x0a2534b5, 0x421490d8, 0x3d71e725, 0xf53e1127, 0x0c4ed239, 0x283575f3, 0x6ca6c84f,
+    0x6e988c08, 0x1fb661a7, 0xce374bb4, 0xddcb94d7, 0xdf03bda4, 0xc437ca05, 0x9186a3dd, 0x6db7fd42,
+    0x597bcc84, 0x62b9d254, 0x6b2cb2c0, 0x81dfdb94, 0x791727d4, 0x5b1c60a4, 0xa7ba57a4, 0xb6fdf0f3,
+    0xc61f7e56, 0x0af94bd5, 0x03ed6990, 0xb0026517, 0xf597d8f6, 0x85397e38, 0x139f3034, 0x5620a309,
+    0x9ab956de, 0x2c03a8e8, 0xe16da33f, 0x84436014, 0x39e4b759, 0x37ab5dd9, 0xde537213, 0x4f85e789,
+    0x60d9fa20, 0x8d0b66c7, 0x2942604e, 0x93274ffb, 0x84d7ee2d, 0xd4508d6a, 0x5a8e9a07, 0x28660020,
+    0x5b6fda53, 0x9f413158, 0x227a33e6, 0x18cf0019, 0xe12d5b20, 0xf6c81460, 0xcfbf5509, 0xb2a5a123,
+    0x986b03a0, 0xdf97fb1f, 0x0eb4d321, 0x96dae677, 0xc7a74f32, 0xbcff3da7, 0xd964aeb9, 0x96162cf7,
+    0x446df24d, 0xd8f0c3e2, 0xd8b61b87, 0x50f4ed0a, 0x2b8f3561, 0xc17292e6, 0x0ed2653d, 0x0436c791,
+    0xbe9d24ee, 0x3f647d7c, 0xb9aa2f65, 0x70ff911f, 0x8804638f, 0x41e97353, 0x0856e95b, 0x6b142d55,
+    0xfb583419, 0xb44acadd, 0x9f73af16, 0x0304f109, 0x43ecd9f2, 0xe48d03e0, 0x05614abd, 0xcffc270e,
+    0xf8d87df2, 0x556b61d8, 0x0467d6a7, 0xfa6f3595, 0x4b46f439, 0x65500ee5, 0x52f7a7b6, 0x541ce415,
+    0xe9d4b900, 0xdb94fc68, 0x1a1c7e2c, 0x1b86f3c3, 0xfb7f4af3, 0x184e781f, 0xf9585e3f, 0x9a769563,
+    0x900ed4a2, 0x8a27f1a6, 0x5ece3c59, 0x44e43149, 0xda396ab1, 0xa53eae75, 0x523ea389, 0x2a704173,
+    0xce2a54c5, 0x1b88407f, 0x16b24177, 0x3a204bb2, 0x1a2a19a0, 0x30fd3ccb, 0xfa7efb61, 0x10fe0612,
+    0xbbd769bb, 0x87e513f7, 0xe56f2880, 0x62dba27b, 0xa81ecbdf, 0x6861a3d2, 0x4401d43d, 0x24f71dfc,
+    0xe6be92c6, 0x83b333f1, 0x8fb09af0, 0x85d3b331, 0x91e89d1f, 0x423e8346, 0x2ed1f05c, 0x7a1e4810,
+    0x149a4421, 0xdee2f3a4, 0x73949576, 0x45a6a9a8, 0x9f0a05d5, 0xedda52cf, 0x63e32c1d, 0x2dcbe1b7,
+    0x24b939ca, 0x318686f7, 0xeeb027a1, 0xea73b855, 0xafa909c5, 0xd14cd095, 0xbbf49cb1, 0x22e2646e,
+    0x69a5ce28, 0x8fa705d6, 0xeff25924, 0x4ab82a85, 0x736d36da, 0x9153f294, 0x19005996, 0xb8b7fcb4,
+    0xe5862719, 0x0e471266, 0xe747a5ac, 0x109717fb, 0xfde2e8e8, 0xe79c588d, 0x4d6f125e, 0xe023fff5,
+    0xe4ef1cf3, 0xcc6f0dd6, 0xea7307b2, 0xc5b8ece5, 0x43e4ec97, 0x9b58e91b, 0x3b7f3b02, 0x2c18c7fa,
+    0x90da42d3, 0xd3a64505, 0xe96e73f6, 0x6a4bfdaa, 0xe815e7cf, 0x3b3032b4, 0xe65c15c8, 0xdca75352,
+    0x8115fd0f, 0xb786e22c, 0x0e944b95, 0x16a0b7c4, 0xef70224c, 0xd130ffbd, 0x9b875f7b, 0x5f89af45,
+    0x0458b59e, 0xc3206db5, 0xc8bb5721, 0x46d4d5f1, 0x71fce0a2, 0x70f9707a, 0x7f297363, 0x79d2d85b,
+    0x283dc1a0, 0x1e798727, 0x604c7866, 0x267983b4, 0xbf1a58d1, 0x8675a054, 0x99e43033, 0x4cbf471d,
+    0xdc3d7b29, 0x7031219d, 0x3a905b90, 0x4d7ea729, 0x99df3793, 0x90a13571, 0xd06dbafe, 0x969eda7b,
+    0x4e057b95, 0xd408a1c7, 0xe2bf6c23, 0xcd589c7b, 0x89d52327, 0x6b3a5d4a, 0xaf824e54, 0x61442211,
+    0xedf90027, 0x045279e9, 0x975ffddd, 0x9264b818, 0x7808cd9e, 0xc1148eae, 0xe0f8905b, 0xe9a7fd66,
+    0xcee40757, 0x051376e7, 0xfa0d6b06, 0x49f27e2b, 0x62385ce0, 0xc3143c58, 0x577d7e00, 0xb78edc58,
+    0x8de8ef0d, 0x9cbeb65e, 0xd4dd3b79, 0xe1657278, 0xd3d0ae5b, 0x316e4f15, 0xa7fd29dc, 0x2bf79f45,
+    0xcfdb7dea, 0x3739f960, 0xbb567623, 0x28807ba5, 0x5b91fb91, 0xbe87d1b7, 0x8a2de0a9, 0xf76b2c53,
+    0x49f7f05b, 0xc8f0f7c0, 0x85213d49, 0x6ce474fa, 0xdec290af, 0x723c05aa, 0xf49c3cb5, 0x32103b06,
+    0x47aeb983, 0xaa08d9fc, 0x5bdf2c82, 0x3233547b, 0x52a8d128, 0x85d20db1, 0xb6e5e355, 0xca784e25,
+    0x2ff52aaf, 0xf4be6702, 0xb8d8f7a0, 0x0f66d308, 0x10ee5aed, 0x098402f0, 0xb0dafea3, 0x14edafec,
+    0x8e7fedd6, 0x73226c74, 0x9807918f, 0xac86a1b2, 0x1b9231b6, 0xbf5416f5, 0xe98ea1dd, 0x634cb7ce,
+    0x5ef492e1, 0x83d1d3e3, 0x4c9c5eba, 0x15227e28, 0xab7fee6e, 0xbbb10055, 0x8ff6c382, 0x184befe6,
+    0x97c56e97, 0x9b3852cc, 0x94dad8c4, 0xdcee6474, 0xebe2f6a1, 0x2453602f, 0x7fcced7d, 0x8d196dee,
+    0x61ee86a9, 0x1b257fdb, 0x1e00e377, 0xdce22f6a, 0xd5023046, 0xc10b673b, 0xc3da6a5e, 0x532d6b7e,
+    0x37d097f1, 0xf7011870, 0xce37c845, 0xc748e9ba, 0x5daffbf5, 0x4883fa1a, 0x347637a3, 0xdbe3deb9,
+    0x16480f9d, 0xb1d32739, 0xa4963815, 0xdfaa510f, 0xcde8ed45, 0x774f24a7, 0x69b7fa77, 0x09d8714e,
+    0x295a36a2, 0x9f55aa1d, 0xb037a9c6, 0x1b7a15a8, 0x80c64da0, 0xbb6319a7, 0xe036179f, 0x4d49f0c9,
+    0x1b6e307c, 0xcae7e4d0, 0xa8f31157, 0xc9385224, 0xd9252fb6, 0xc916ffaf, 0xf691bc0e, 0xe892542a,
+    0x69d65b45, 0xb918a4c9, 0x156d1abe, 0xe24826be, 0x04ea935c, 0x13ab783f, 0xa50c139c, 0x3b917d5f,
+    0x22c41ee8, 0x57bf5a07, 0x9ee737c5, 0x2d9e01fa, 0x1a6bb4ab, 0x2ff104f8, 0xb413a96d, 0x69f4f299,
+    0xd53d44d8, 0x189e5acf, 0x7dfc3170, 0x5b154412, 0xc7f4c71f, 0xe49570fc, 0x0a4533a2, 0x2e795947,
+    0xeeafcff1, 0x763d073d, 0xc5bd765d, 0x5033ee07, 0x6b3b8edd, 0x5408b3de, 0x4ab4f2eb, 0x5d30164c,
+    0xc2aa941e, 0xe2381563, 0x0661c87c, 0x89af45fe, 0x68669176, 0xb844ba82, 0x11b0da7b, 0x3c46b712,
+    0x9ba24750, 0xec7af713, 0xf410f70d, 0x879709f1, 0x4a49e3c5, 0x7476714d, 0x30cc9acc, 0xb36e8bf6,
+    0x1cf46a8c, 0xe4548a5e, 0x836d9cef, 0xb42bbe4a, 0x0e7644a3, 0x804658d8, 0x975f228f, 0x5889c89f,
+    0xd3693833, 0xb5341879, 0x32fe44c8, 0x249fbd59, 0x9fc0264e, 0x3dae7866, 0x826e17ad, 0x5563e333,
+    0x9a188e28, 0x2f82ca3d, 0x33bb23a5, 0xe936dc8c, 0x05e5aa0d, 0x225c00fe, 0x01decbd8, 0x0db21862,
+    0xc3d564d0, 0x6a481c89, 0x4944cb24, 0xe4ba6497, 0xdcc05193, 0x8c95bce9, 0x200ffa86, 0x354d2d44,
+    0x5efe1c1d, 0x9f48e811, 0x7d31c5f4, 0x7165e06b, 0x528dd4d1, 0x32931247, 0x30ae8a56, 0xc43f17a6,
+    0x3c834fe2, 0x95fac0b1, 0xfcae2f94, 0x15bfc34c, 0x7d92ecf4, 0x460203a4, 0x019b8c4c, 0xb86d25c1,
+    0x56591480, 0xe47bcb24, 0xf7d841da, 0xa4a8ca73, 0x8ed84f67, 0x41d36ab9, 0x54c2f50f, 0x4cd4ca0f,
+    0x3da93755, 0x98fb8048, 0xc43c6165, 0xc1767365, 0xd7dd78c2, 0x19807554, 0xd619ccad, 0x2d0592c7,
+    0xa2041676, 0xb1bff28b, 0xf007f342, 0x7636f1de, 0x87b50b55, 0xfe917e37, 0x14317db2, 0xca7c2804,
+    0x82c50217, 0xc4345d8f, 0x6f710d1c, 0x556e7a7d, 0x99a66db1, 0xc859a484, 0x6fa7309b, 0x1305347c,
+    0xe083fb5f, 0xbad28c4d, 0x67ada23d, 0x3288d88e, 0x5b182767, 0x9a2ec5fb, 0x87bdb44f, 0x26cb445b,
+    0x95e54264, 0x34a5bcc1, 0x5efeadfd, 0x0c2c24fd, 0xdf3c4738, 0x3593b263, 0x1baf0f2a, 0x9652790d,
+    0x1ce43b60, 0x163fb97f, 0x99499500, 0xc8657371, 0x558dd4c0, 0xaab6e3ca, 0x97c0dbc3, 0x62c3e63e,
+    0x1eb6dc93, 0x0f24fb3a, 0x122f4188, 0x72c87b28, 0xb3c9ccb7, 0x60f5629a, 0x754a1fe7, 0xf87a2a6b,
+    0x0630ea03, 0x96d75086, 0x2f2a1e26, 0xd683b0aa, 0xf9941129, 0x118ef4f2, 0xfee7ff8c, 0x37b15103,
+    0x66bf820c, 0x1ee91286, 0x1e5b7253, 0xcbf95c92, 0xe031146c, 0xeec33a96, 0x2dfdce31, 0x3d224aa2,
+    0x600bef24, 0xb1c3a84a, 0x05eab1b8, 0x9e34f0db, 0x59dd1dad, 0xf3b1c97c, 0xdc758445, 0x93b8dc00,
+    0xd406200d, 0xbc7380d4, 0x70da312e, 0x3ed54212, 0xadb6d9b7, 0xe81fa028, 0x92e2e9ee, 0x7a9ee98a,
+    0xd6c04ab9, 0xe4e6812b, 0x14418b25, 0x34883a52, 0xc833a840, 0x9a157a72, 0xb17802fe, 0x32c997bb,
+    0xf4a49a7a, 0xeb8d779f, 0x7f492c84, 0xcdccc948, 0xda80995d, 0x6ca66d46, 0x29cc3931, 0x1267a1c6,
+    0xd8e235a8, 0xcbdc25eb, 0x8ea6fab8, 0x89614118, 0x63e59cd9, 0xe2765653, 0xc424a96c, 0x6c66a550,
+    0x7fb0d3f4, 0xf57ae36c, 0xf95464fa, 0x78351328, 0x5c9317fb, 0x17aba45c, 0xe4d0ffa8, 0x75870844,
+    0xa9463d74, 0xc5a9012c, 0xa6fbbe5c, 0x82eafb71, 0x60975278, 0xcc21d3ee, 0x823b9a29, 0x65a04197,
+    0x80c9e506, 0x094cbc0f, 0x80413069, 0x3fa9c815, 0xe7dd167e, 0x3c77b395, 0x23919653, 0x3265fe89,
+    0xb6240a89, 0x537bcca6, 0x505cd771, 0xb60aceb1, 0x56588bec, 0xc77c9b18, 0x7c6f6d6f, 0x91fdbc6e,
+    0x0f508fb4, 0xb770b2f9, 0x02378791, 0x812eda52, 0x2ca8f5df, 0xba1c6d70, 0x98386255, 0xd75208d6,
+    0xe598d083, 0x7a44e871, 0xca2e305e, 0xed559ea0, 0xc75daea7, 0xb318352a, 0x703fbbee, 0xe1a47976,
+    0xb8f91390, 0x91a8b4b5, 0x692b2e0a, 0x3bcffdc4, 0x3a9046fc, 0xdf35bfa1, 0x864497a2, 0xe585f5c9,
+    0x86acb8b2, 0xbf6210fa, 0xb86a3571, 0xf375ccc5, 0xf4de54eb, 0xdbd9bc2d, 0xbf6e5902, 0x16fa58df,
+    0x9534b5b7, 0xa4f2f5cd, 0xdcce05cb, 0x41b94934, 0x57bc17be, 0xbc32b411, 0xa1eb57aa, 0xc64e41a3,
+    0x35010916, 0x8a5d83cd, 0x92f38607, 0x117c4649, 0x480110ff, 0xfc3272ba, 0x4c4db8e7, 0x295784de,
+    0xe5989b7d, 0x2c59b524, 0xd8669e14, 0xd797aa9d, 0xdb8a56d2, 0xb2defebf, 0x6d92cc6a, 0x6fa63935,
+    0xd9c83e95, 0xc58b8b02, 0xbaaa0443, 0xc608294e, 0xa0b027bf, 0xad39907a, 0x4e9cd4ad, 0xc74bdba4,
+    0xd3466f49, 0xbccea910, 0x27ea550c, 0x24387501, 0xd18ceb21, 0xf6343981, 0x59adc87c, 0x407ef467,
+    0x28837f2e, 0xb1b369b4, 0x55e6a504, 0x5709f935, 0x67da1813, 0xafe1e717, 0x5d2fd0a7, 0x0d8fc663,
+    0xccd1b262, 0x1b0ebe73, 0x103dc330, 0x2718938a, 0x3bd6fc10, 0x9d394b31, 0x330eb05b, 0xee037c20,
+    0x8fec8a07, 0x05621e3f, 0x001e7dbc, 0x6c051956, 0x02afb03f, 0x4bdc81c8, 0x8263436f, 0x46a98cb7,
+    0x37dce98c, 0x5f8606d5, 0xfed0564e, 0x725bb8b7, 0x88c05849, 0x8b5a62d0, 0x69823fab, 0x69c93669,
+    0xa2667084, 0xe341223d, 0xc10acc70, 0xbc9f44f8, 0xb4a43de7, 0x09ecad3f, 0x0f16bd34, 0x09231f93,
+    0xc741768c, 0x6cf91d06, 0xc81242ad, 0x213cafe9, 0x50885644, 0x5f75de48, 0xc9b4cc1f, 0xc655be8b,
+    0xf8a89b0e, 0x9448e24f, 0x6edaf20d, 0x8ee04f12, 0x37974fa9, 0x3d82bff7, 0x807c7521, 0x7633a5af,
+    0xe90e209b, 0x61fe6775, 0x79c6a131, 0xf068a899, 0xd16cd453, 0x0abc2868, 0x4e5bcaa9, 0xc3117b17,
+    0xdf107ddd, 0x8f033450, 0xf4fd81b2, 0x1e0677d1, 0xe17e6f98, 0x1b32753f, 0x8a8edda9, 0x65092c56,
+    0xb4e53353, 0xb0f7f8df, 0x898a2c0e, 0xefc1de68, 0x041bab26, 0xa3c6ca5e, 0x7f483cbb, 0x195a2ac3,
+    0x060af511, 0x66e808d0, 0x7dcd6d57, 0x5518f07d, 0xa8a37f3e, 0x73da15d6, 0x81b8b88f, 0x9dab194b,
+    0xbc8b2e3e, 0xa3b881d5, 0x102ed80b, 0x15ebb1a9, 0x99ea25b1, 0xa4288464, 0xf6e84b56, 0xe52bf1aa,
+    0x30ff8cd6, 0xbf9c1b04, 0xca6d4b68, 0x8789c8f8, 0x039e816d, 0xcc7a2e2f, 0x1a465b69, 0x03df93b0,
+    0x568bdcca, 0xeef8c6d2, 0x52c76c98, 0x41f5514d, 0x9a5c086c, 0xae4abd14, 0x24a5bb7e, 0xa55e017d,
+    0xb7fe477c, 0x017ec834, 0x2b4b894c, 0x6ed2fdd2, 0x8d33e0cc, 0xa02cca13, 0x8840c8eb, 0x31e9cd34,
+    0xa2477c2c, 0x5237c8f5, 0xa84d93a4, 0xa838614d, 0x71ff299b, 0xa387fb57, 0x985cf7e0, 0x117d703d,
+    0xb2d61ff2, 0xecffb1aa, 0xc62abbd4, 0x82994820, 0x6ffb2f35, 0xb6ab8e85, 0x044f1438, 0xfa54de30,
+    0xe40a8aa3, 0x76d027e5, 0x275c2707, 0x0c73bda2, 0x4af9f011, 0xf79ab182, 0xcdd54319, 0x4862b480,
+    0xb87388a6, 0xac5da8d7, 0x700c8234, 0xe91aedb8, 0x7df7aa62, 0x5ad0d918, 0x29616d68, 0x7074303f,
+    0xc2cbc6e0, 0x4ffc05e6, 0xbf658cbf, 0xdde914d9, 0xd7995c37, 0x8c6c52d3, 0x292645b7, 0xec0776ac,
+    0x2eb46dca, 0xf2316c5e, 0x57f25ddc, 0xd4cd95d2, 0xc372c9f6, 0x438321ca, 0xaae025cc, 0xa2cdfb91,
+    0x22f31c2f, 0x2dda9c03, 0xca683ce4, 0x41956d80, 0x0ee28245, 0x34a9d023, 0x11b06ae6, 0xafa55426,
+    0x3b38c6e9, 0x4480ac48, 0x157afbc1, 0xac9d060a, 0xe40c1197, 0x7a636fc2, 0xaaddcad7, 0xf9daa61c,
+    0x8fee1f2b, 0x131f8a3c, 0x7fc61090, 0x6abc66e3, 0xd6d6b848, 0xcfb3c98f, 0x5cadb363, 0xd11c66ee,
+    0xc22dad66, 0xaf1278fd, 0xc616c9f3, 0x1d5829b7, 0xc9115da2, 0x2d9202fc, 0xbc2902e8, 0x4fac7b1d,
+    0x6c9af4da, 0x1b971847, 0xe716f6eb, 0x7d2e7a3e, 0xe8453fee, 0x43aaa0be, 0x815174bb, 0x31feaebf,
+    0xe4e860ed, 0xbe5131ed, 0xe224713b, 0x9578c5fa, 0xad73ee02, 0x64ef0a25, 0xd79c17be, 0x72ffd020,
+    0xeb744759, 0x8110e77d, 0xef350a46, 0x9fc5cbe2, 0xc2fd7ddf, 0x5c1a258e, 0xb5862861, 0xcb0a2942,
+    0x66d09aa1, 0xa3748932, 0x16c786ef, 0xed81df54, 0xa63d0845, 0xd02efdde, 0x3fbd9734, 0x1dcb2e74,
+    0x4748f497, 0x23eb2ebc, 0x21bc659e, 0xb4257e77, 0xdf8b7599, 0xd589745f, 0xa32c7760, 0x36b04269,
+    0x2e7f5d61, 0x9e7c3efa, 0xea12c523, 0xa037d22f, 0x4673f79d, 0x0bacec55, 0xb71de0fd, 0x8caf1367,
+    0x0f03f40a, 0x01b865ea, 0xf4d26815, 0xb9514331, 0x57052c0c, 0x4f877903, 0xca65495f, 0x1a1ebc52,
+    0x8a9289d6, 0xfc1e2527, 0x547d2e12, 0x135fb7c9, 0x9030db2f, 0x5b09873f, 0x9c69f536, 0xaa1eda5c,
+    0xc724d06d, 0x6617af87, 0xc2b0df8d, 0x5628e8c1, 0x022c7d01, 0xa86f07fe, 0xa9ad13f0, 0x0596c507,
+    0x7d4e95d0, 0xdde7af56, 0xf6469ca2, 0x14b2485e, 0xaa48ad20, 0xbf2693f0, 0x0a8582ba, 0xda8f8dad,
+    0x00000000,
+    0x94a99fe1, 0xdc900acb, 0x17ac286b, 0x7d56c75a, 0x3e747c49, 0x1fbd3baa, 0x0b3a0cca, 0x590105cf,
+    0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x40000000,
+    0x00000000 }, /* 10**00000000000000238170513177184465895202425368741325817001201070020381993038708\
+                         46751188192899823151552628349788604516295066307994130118526061826166445047808 */
+  { 0x00000000,
+    0x977e6d92, 0x75ee720a, 0x73a24bae, 0x936b51c7, 0x6eb873f2, 0x83a83507, 0x6f331263, 0x28368437,
+    0x6ffd0e0e, 0x0f444565, 0x6f6cc08b, 0x980a5795, 0xd14d22a1, 0x77863777, 0xaf90ab79, 0xc9af618c,
+    0xe334064c, 0xead85a9d, 0x7b4b8c7e, 0x36600fa7, 0x7398f0f3, 0xce5f036a, 0x878edbfa, 0x0239034f,
+    0x5a2e24f7, 0xc9da2120, 0xcf7622dd, 0x1ab16be4, 0x55a247a0, 0x419ed85d, 0x6f115ea9, 0xaf3e0e88,
+    0xbe45b977, 0xc2256410, 0x471b5189, 0xae343977, 0xb222d196, 0xbbbdf14e, 0x61a8a17b, 0xe2fa98f2,
+    0x9edb8801, 0x5e710aa5, 0x295f8a37, 0x95bef049, 0xef790c1c, 0xa381afe8, 0x8dceec1e, 0x799198a8,
+    0xe23a8670, 0x1ead7987, 0x3e5395c7, 0xe5c34324, 0xed9bd8cc, 0xbba3eb9c, 0x1dc3e752, 0xcbc54c17,
+    0xe9d14a28, 0x6c2bde6d, 0x5014978c, 0x5598d4b7, 0x39b14c40, 0xeed6035d, 0x60977c09, 0x47c9f9bf,
+    0x7c573571, 0x52281db8, 0xc33f546a, 0xa0d934e0, 0xe62505e3, 0xa36bb7e5, 0x731e2ce3, 0x2fef37ae,
+    0x68e075c2, 0x609961de, 0xcb80e6ba, 0xf3c7618a, 0xfe18d6f2, 0x11a4e642, 0xbffde69b, 0x2e412886,
+    0xc1ddb47c, 0xd6c008ab, 0xbf1227f0, 0xbd68a0bd, 0xe3e232ea, 0xacce431e, 0xc50b8d21, 0x75d432d3,
+    0x6cc9af50, 0x780c02b3, 0xc096d2e6, 0xd82d5cac, 0x832e5e94, 0x2a4dc992, 0xa2f0725d, 0x4d12f826,
+    0x1eda4fcb, 0xc2f99ec4, 0x0709974c, 0x5efc8d3d, 0x5954203a, 0xba883162, 0xc4420ee4, 0x4d1173ed,
+    0xae9b563e, 0x5242ff0a, 0x2c828ff1, 0xc2e1fadf, 0xc11b3854, 0x32677de4, 0xb002a69a, 0x593b3ac7,
+    0x3745d1e6, 0x9610db38, 0xc31183f9, 0x3ab20e4e, 0x74398d70, 0xeb7bc2d8, 0x81a4954d, 0xb197f389,
+    0x39b936c1, 0x52cd0aef, 0x5dec374f, 0xddfc67b4, 0x7ee42b37, 0xc020f0fc, 0x82899582, 0xd65a786f,
+    0xa8d57868, 0xfda544b3, 0x0c6a527e, 0xb19dc168, 0xeffff0d7, 0x00071cc3, 0xa4205aca, 0xd1969144,
+    0x0eeb8b7e, 0x86cb5ead, 0x20aebf2e, 0x9d74a800, 0xc22828a5, 0xf8ca7517, 0x35378928, 0xe2e31e91,
+    0xc06d43cf, 0x3e7970ec, 0x45328520, 0x6bd2440e, 0xdc2d1325, 0x8ebb9983, 0xd191c491, 0xd7ca3449,
+    0xf7ce7d68, 0x267d2754, 0x8ce9b294, 0x0d88a8b2, 0x6ecc99d3, 0x9949f05a, 0xeb019ceb, 0x24afe12f,
+    0x7210a7ab, 0xc8790b06, 0x8c37de4a, 0xd0dda1ce, 0x147f9684, 0xf8f87883, 0xb627db11, 0xf64ff9c3,
+    0x548b26a9, 0xaa5821e2, 0x36e901f0, 0x8ca4caa5, 0x73c43922, 0x40e4b98e, 0xf2b72157, 0x3093523d,
+    0xf3404a52, 0x725eb105, 0xb5e1819a, 0x8b28d8c5, 0xcc2baf30, 0xa2f87f97, 0x737f8045, 0x51420764,
+    0x88eeb920, 0xe56d2ab1, 0xe075e734, 0x7520106b, 0x7a17620d, 0x57742be2, 0x2bfe99f0, 0xe3ba7d70,
+    0x1015b7ce, 0x0b1f5280, 0x71e7b177, 0x5d957108, 0x403b37af, 0x373fe10f, 0x50eb6b1d, 0x7aaebff6,
+    0x3a6303ce, 0x8d23d0e4, 0x9b38ce58, 0x9b79615e, 0xa48a76b9, 0xa9c74a74, 0xa98695df, 0x757c7cc7,
+    0xb235cf18, 0xcf93112b, 0x12d30099, 0xd84a5bc2, 0x8cb91ba1, 0x94307fba, 0x354189d5, 0x5d0c494c,
+    0x638a06cc, 0xf592f4fb, 0x15284875, 0x98948caf, 0xae2ad090, 0x3ae27a2a, 0xc2739e61, 0xcbe7bf6e,
+    0x81314c51, 0x3beac6e7, 0x33da7eb4, 0xaec65dc7, 0xd42e0599, 0xc2fe4cf1, 0x1ae2e6d2, 0x7ee2bbbd,
+    0x23c35faa, 0x15f1d1c5, 0x89c4b1ae, 0x1cd95a7f, 0xb38967a0, 0xab226b98, 0x8263ab76, 0x4765fcb5,
+    0x42eb7adb, 0xd85ac81e, 0x6f0730a8, 0x95efb70d, 0xe33ab2b9, 0xe763b3dc, 0xb242adb1, 0x4e732c0b,
+    0xb85f3ef8, 0xed80685b, 0x18e87835, 0xb7d20ff5, 0x27620113, 0xe1aac4f6, 0xb41ef1ed, 0x71aef7d7,
+    0xedb20e07, 0x5eb0a3ce, 0x8c6f9c06, 0x6cc75f7f, 0xb01ccfaf, 0xbc2cf609, 0x8d2dcee5, 0xf8d883d4,
+    0x8d8a4a9b, 0xcde20447, 0xad1ca084, 0xe550163f, 0xf250d400, 0x7df9b8a7, 0x2e712e15, 0x4348e46c,
+    0x9b67ead5, 0xb87a935b, 0x4e0fca4b, 0xf85d3e42, 0x6f888f4d, 0x30c78467, 0x3efc332e, 0x6b54538c,
+    0xd847a79a, 0x125ff8d7, 0x1bd8d02a, 0x01d06d23, 0x98a60bd2, 0x7f245db2, 0x39977728, 0xc9418b07,
+    0x0b30dfb6, 0xc0695bb0, 0x8ae060b3, 0xec7dec6b, 0xec6edad5, 0x3ccf8b98, 0x5434066a, 0xcd0102fe,
+    0xb1d55102, 0xa3383ae0, 0xcfaf037d, 0xbf37c0ce, 0x9842e708, 0x9c958da0, 0x9168b7a3, 0xb4ef19b4,
+    0x0920c7cf, 0x2f471d47, 0x03e1257c, 0xa42e1a7f, 0x8cfb7b55, 0x9eb7f887, 0x0a83dd6f, 0x88425f94,
+    0xa535023b, 0x607ab236, 0xcd4b8f75, 0xf9de38e4, 0xf8ea8e7d, 0xa1e841ce, 0x5c8753b9, 0x1623044c,
+    0x6ddc2185, 0xbac30e57, 0x61f375cc, 0x7c4cd172, 0xf691102d, 0x86a8ab61, 0x86ff06db, 0xe563452b,
+    0x9c13fda0, 0x9c08f3d6, 0xf3de75ee, 0xc4557975, 0x0ed4fb4a, 0xd4073a33, 0x95de4c34, 0x938387dc,
+    0x273785f5, 0x244f1003, 0x27bfe270, 0xcfcd250f, 0xfdc20108, 0x887c39d5, 0x361f3120, 0x8eea7c87,
+    0x8963b769, 0x6d04af31, 0x5a112fb6, 0xf9ac923f, 0x397a1b32, 0xa0a02ddf, 0xe205a5be, 0xa8b81ee0,
+    0x0fae659b, 0xa60380f4, 0xfa9275ad, 0x84a6a541, 0xd3d9d4d7, 0x634d2d98, 0xe3aa086d, 0x1f8ffa79,
+    0x1c8509ad, 0x8b52d87e, 0xf5033f4f, 0x44cdc400, 0x947fbfd4, 0xd0a9eecd, 0x455c61de, 0x211b64d6,
+    0xf641a0ff, 0x17aed4b2, 0x37fcc094, 0x6de382e6, 0x76196093, 0xde4efe02, 0x39cd1a4c, 0xab546d68,
+    0x02ca261d, 0x1b4e23c1, 0x897f4655, 0x70c11f66, 0x6614d08c, 0x0449fc6c, 0xc89fda93, 0x8d02de3d,
+    0x9de24db0, 0xec544e58, 0xe36d2f0f, 0x27d1f9bb, 0x98406d2f, 0x86dad945, 0xfa449969, 0xba2c8e86,
+    0xb640b08a, 0xd2bc6997, 0xf7517bab, 0x39295bd4, 0xd1eb20c3, 0xbd52812c, 0xd7c12324, 0xcaa4f144,
+    0x8bc6d187, 0x510e0278, 0xdebd9b8f, 0x098afa05, 0x2f60cc99, 0x94abb371, 0x4ab45f09, 0x532baa2b,
+    0xa55086ac, 0xd3055693, 0x6c23416e, 0xd191ce19, 0x53a99069, 0xef85e852, 0x53555b01, 0x268022cc,
+    0xe2af7d97, 0x3b0ba940, 0x34925800, 0x88775dce, 0x790f5f9d, 0x7dc8f699, 0x69656f54, 0x42e5945a,
+    0x76a990ab, 0x07257a94, 0x28965b81, 0x558844cf, 0x3be6d0ee, 0x6feb6c86, 0x3487a0ee, 0xe99e4eca,
+    0xb7340fab, 0x91f02a69, 0xb3125721, 0x0e6f5d63, 0x7e806beb, 0xbd5f36c2, 0x418480e9, 0xeb2f790f,
+    0x1f4eb981, 0x13721322, 0xaa0d18f3, 0xd8606ef7, 0x1ab71a08, 0xcc48eeac, 0x5757567c, 0xe28a292e,
+    0x6343559e, 0x869385a2, 0x56039a80, 0x94daed57, 0xf00e7c01, 0xc4b38fe3, 0x3d8a9a7a, 0xd80cf4d7,
+    0x7f7f05b2, 0xa6831f61, 0xf094af81, 0xcb48bc02, 0x677d04cd, 0x5cb26fe9, 0x856ce25a, 0x4ea67303,
+    0x27c0c660, 0x6a14c603, 0x9999139f, 0x201244b2, 0xbd2487f2, 0xfe18f61f, 0x91baede9, 0x3f6d2ad4,
+    0x9cbb8e35, 0x93e79bea, 0x0b033e9a, 0x940070f0, 0x0ee4a561, 0xf69f8a30, 0x7ef8c012, 0xbe66ea46,
+    0x15d4a6fb, 0x64f63958, 0x5bb0c97c, 0xcc9c0b1e, 0xafa7a06a, 0x0effb8c4, 0xe9c96b8b, 0xfbde9d65,
+    0x327bf676, 0xefa106d1, 0x2065d137, 0xddbda37f, 0x28f4499f, 0x466ddcc1, 0x72de6a35, 0x80d5e338,
+    0x879837c9, 0x5f786b80, 0x0072442d, 0x4833fa7c, 0x0c776268, 0x4ee08704, 0x9f522698, 0xa6e66d24,
+    0xddcb331c, 0x58e03a7f, 0x02f2b84f, 0xc0544666, 0x649cb866, 0xcfb68edf, 0x1821a436, 0xd7dd63ca,
+    0x9acc56e8, 0x02d61758, 0xb757ef33, 0xcd8c7790, 0x491e349a, 0x9dd54419, 0x71bfbeb5, 0x2adf815f,
+    0xae310d09, 0x9386e0da, 0xd2b981c8, 0xc4c2ebfb, 0x747db518, 0x8d4d35ee, 0x4629162b, 0x000f0e4e,
+    0xb11da170, 0x1b457fbd, 0x57bbafcc, 0x4a979a2d, 0x233d96a3, 0x64aec7c7, 0xa5ac136e, 0x3f282404,
+    0xf3bbd54d, 0xad92aa68, 0xa13882bb, 0x5a223fa5, 0x0524e765, 0xbfa01eaa, 0xc4dd88fa, 0xff071679,
+    0xb34d27ea, 0x9f6ac742, 0x9562314f, 0x8baa3dd0, 0xedaa9ec7, 0x970504f9, 0x374cf3ed, 0x8196e1a1,
+    0xd37ed0ed, 0x90fd0606, 0x3cd10b2c, 0x0171082b, 0xe8bbe4f9, 0x0a668811, 0x84b916fd, 0xc12e2bef,
+    0x437c8e3f, 0x2511d4a8, 0x4417054b, 0x60bb5974, 0x3e8f660f, 0x583c41de, 0x0e98ade7, 0x30ae7545,
+    0xb189fa57, 0xc17f5d87, 0xc251f4a9, 0x2a95b1b4, 0x67439eea, 0x7bfdccdf, 0xd784838e, 0x16eca194,
+    0x73dbe6f6, 0xafd716bc, 0xb6c2f896, 0x54076870, 0x960a5e0f, 0x53e841f1, 0x34092193, 0xa7188901,
+    0xd0789c62, 0xd780e124, 0xa6b5d724, 0x43532711, 0x2825e6bb, 0x217a4f2f, 0x0d0c5b4c, 0x77593c02,
+    0xa16f794f, 0x0c8522b4, 0x19e216ae, 0xdcf4c672, 0x6d268da6, 0x00ee4937, 0xd1eb4351, 0xd7f77190,
+    0x1e71745f, 0xf88b2b8b, 0xef1be2f8, 0xdedf077f, 0x66c6bd41, 0x64cd637c, 0x1a40cdf1, 0x4214147e,
+    0x286b151e, 0x97654e69, 0xf14bd282, 0x1d07d5a8, 0x6edd2798, 0x5ac2ab11, 0x4316fca7, 0xb907efa9,
+    0x9e619a2c, 0xb6f1ba88, 0x68ac6fba, 0x7951f5a7, 0x1b6a7d32, 0x3221d026, 0x1d9aa99d, 0xb91eb7b1,
+    0x05c95112, 0x600d177e, 0xf84d46d6, 0x8d4297c2, 0xe6859422, 0x3360ef29, 0x99e4abc7, 0x694e598c,
+    0xca68badd, 0xaacce5f4, 0xc0b61bf9, 0xd36d0590, 0x5e05adf7, 0x93912965, 0x86935635, 0x2006399b,
+    0x998a8092, 0x80334db2, 0x8edd9825, 0x788e763d, 0xa5f24c77, 0x3fede6b4, 0x9856005f, 0xf87a22e6,
+    0x564e8344, 0xa6a2202e, 0xe87869a9, 0xe8c9593a, 0xa4ae90c7, 0xd6364528, 0xb37accdc, 0x4a1f527d,
+    0x4f230e79, 0xa7f299a1, 0x8c2f3fb3, 0x8b449af5, 0xd13ee341, 0x2828088f, 0xff896c58, 0xcc366446,
+    0x2f5bd190, 0x741e3b0c, 0x551fb8b5, 0xc99a2a8f, 0x4e10aaab, 0x027a1096, 0xa5eb3ccc, 0xc4b437a8,
+    0xdd205c9e, 0x3e26061c, 0x73bbe2a8, 0xfafac2da, 0x07ebe858, 0x5ab02cf7, 0x7e438f64, 0xb20bd70e,
+    0x24bb4497, 0xe84c5b72, 0xb8ea9076, 0x183478ac, 0xe6a7bb6c, 0xd6b2370c, 0xb41edd77, 0x11ecbc8b,
+    0xe1d86d6e, 0x433279dd, 0xfece18ab, 0x20b134c6, 0x7935e40b, 0xf982a212, 0x03628a94, 0xce1cf171,
+    0x5051efcf, 0x14d539b4, 0xeb6dce7f, 0x88851ea5, 0x2d726ee5, 0xd4ff9ddf, 0x43c8e014, 0x5f260d51,
+    0x6d92ecf4, 0x1dc40093, 0x8839ca18, 0x02abf7f3, 0x54a9bbd6, 0xb4ed90fc, 0x5625d8aa, 0x500d7f1e,
+    0x4d6eb764, 0x6a60a287, 0x75f4bf12, 0x92d40b01, 0x7aac6462, 0x9005432f, 0x68acd21e, 0x04bbb040,
+    0x1a979efa, 0x7def9663, 0x70e726de, 0xbd44bdbb, 0xf180a2e7, 0x1e74e7da, 0xdbc6b3fc, 0x770627e1,
+    0xb0e96a1d, 0xc3fe3b10, 0x2fbc994b, 0x2b44f65e, 0xf88d7391, 0x45240092, 0x35b3a6a7, 0x66dcb58f,
+    0xcb42d27e, 0x9f1afd70, 0x3645423e, 0x366e6b2a, 0x2d9f44da, 0x0ef64e29, 0xae184547, 0x21609db6,
+    0x6d901d06, 0x5ea971c3, 0x90fd3f28, 0x3dcc459c, 0xd538e5fd, 0xd98397d8, 0x4de82c93, 0xcc9cb23d,
+    0xa1bcf42b, 0x09de6ec8, 0x19c78822, 0x65ccd237, 0x9158f599, 0x7c01fe0e, 0x8ad01c4d, 0xfabfd45e,
+    0x80d4e8b3, 0x808f7dda, 0xa214686b, 0xab688f2f, 0x4646ce01, 0x9e886115, 0x3458ea6f, 0x46bcc9d8,
+    0x4ff045e0, 0xc645f116, 0xb0f32177, 0x045a11c6, 0x74bf7ba4, 0xd4c70647, 0x9e6fe3a8, 0x1963e5fe,
+    0x9082427a, 0x7eb01b90, 0xe2793642, 0xc3225810, 0x9cf20ab0, 0x09d8e751, 0x29f6e148, 0xc1cc0dab,
+    0x7f9f9bb2, 0x7f533617, 0x610b8d20, 0x808b05e3, 0xf6b01b92, 0x823d6f34, 0xfbc751bc, 0x34c625c4,
+    0x7b2b2d23, 0x20954cec, 0xee36ae02, 0xb8bea8f7, 0xba3b9659, 0x3a352963, 0x46fc4bcd, 0xfaacbe01,
+    0xf690813b, 0x2e2fa34b, 0x7b13f58d, 0x488a5c60, 0x55803b5a, 0x9d32bd62, 0xbeb1d0f3, 0xc0fc274e,
+    0xe219dacb, 0xe6677275, 0x0531cec8, 0x049acb30, 0x24b55e42, 0xec6d4a4f, 0x40d27722, 0xd1c89a61,
+    0x358f6d6d, 0x9d4fe09e, 0x34f09531, 0x5b223a90, 0x237c0078, 0x50385821, 0x700afbc6, 0xcad72206,
+    0xae6c76a8, 0x5074719e, 0x9b256a32, 0xa6627ece, 0x2e8a036d, 0x0c076bce, 0x80056ff6, 0xb5f17dd3,
+    0x9e3172fe, 0xf0379b1a, 0xa97bbd84, 0x986dff48, 0x268c3315, 0x2f223561, 0x4e13b0a6, 0xce07923a,
+    0xa92b429b, 0x952105de, 0x7bf7879c, 0xf10171f0, 0xf2861164, 0x0e009d95, 0x8f84ead8, 0x8a9bc35c,
+    0xc4ae2124, 0xb0b68824, 0x6c4332ba, 0xc8e33ff2, 0x9867c7ca, 0x414a31d5, 0xa646c2fd, 0x11daac80,
+    0xe81fe110, 0x5c2fc943, 0x510a8ab0, 0xb46c0a4e, 0x0ff79106, 0xa6afbdfb, 0x09bec9b1, 0xc2e7b347,
+    0x8cb7818f, 0xc2b4608f, 0x755529d6, 0x53f229df, 0x0aa1b7a4, 0x6f219c5b, 0x64b8be80, 0x5877ebb5,
+    0x0316fd27, 0xc462d45f, 0x150f01e5, 0x67a44efe, 0x5bd8b139, 0xab6ead3a, 0x86429dab, 0x92fc3003,
+    0xb1ac9d4f, 0x2e10962a, 0x29db25a0, 0x0e7203e1, 0x8c5881e3, 0x80e492ed, 0xac74e724, 0x7a8b9920,
+    0x061eb520, 0xe8ae0b5b, 0x07b7ebf8, 0x2a2378bb, 0xe917cbae, 0x72a482fe, 0xf06ba0e6, 0x39c40ae9,
+    0xfd4ecc30, 0xd2df913e, 0x83876541, 0x5c75259c, 0x3c662787, 0x88e040f8, 0xdfe8d667, 0xbd12e006,
+    0x06bb41ad, 0x90d42c0d, 0x6f5c00bf, 0x290177b6, 0x873b7368, 0x91847e61, 0xcd635afc, 0x3c823253,
+    0x0682d3f5, 0xe8f2612e, 0xeb3ee12e, 0x412ab274, 0xb10cde8a, 0x3608ac18, 0xf48edec0, 0x62cd52d4,
+    0xea311e82, 0x24ce1246, 0x5bb5b6c0, 0x465e30a0, 0xb62d489d, 0x8afc2364, 0x18d1edcf, 0xd97e1cc2,
+    0xcc6cdd8f, 0xf2f6f8f6, 0x8a09e178, 0x02d28a29, 0x769efc21, 0x3eacaa00, 0xe0bae00c, 0x74ec08ee,
+    0x443d85ae, 0xe148d7c3, 0x2c1ae625, 0xdc1990c2, 0x53b17eb9, 0x5713ad8f, 0x1f6e80fe, 0x64aada07,
+    0x75ee6a5b, 0x4b393bbf, 0x1e776136, 0x375423a9, 0xb7d033b7, 0x549fe02a, 0x89e76233, 0x832a4fd3,
+    0x66b47e8f, 0x457717fc, 0xfec9d248, 0xa16d7954, 0x8e6f981b, 0x32b68479, 0xfa3a13d4, 0x7222090f,
+    0xec361640, 0x3b2ac9bb, 0x963b27e1, 0x2bf3d2b7, 0x6da8aaa2, 0x21f3975c, 0xf0534693, 0x235079ca,
+    0x535eb000, 0x2d85f805, 0xc3186a17, 0xf50808a6, 0x26379ee2, 0x5399c933, 0x01cef211, 0x5f120120,
+    0x0da94618, 0x79e6290c, 0x8dd03675, 0xd0d094d2, 0xfe0e3c8f, 0x61ecda4c, 0x583e8b13, 0xc91ee873,
+    0xddbbc3d0, 0xc1818137, 0xe4622d81, 0x6cf40c07, 0xfe9e427d, 0x3586220b, 0x5899cdff, 0xd8632b82,
+    0x5dca4a6b, 0xc7f59591, 0xf83d3b11, 0x25197561, 0xcb1a28ca, 0x49265e35, 0x3f93fbab, 0x671fda2b,
+    0x45098e53, 0x513b5dd8, 0x6e408619, 0x26c4a7d7, 0x3ed52e71, 0x5aef2ffd, 0xa76c1ab3, 0xa74275b7,
+    0x00000000,
+    0xca54cff0, 0xee480565, 0x0bd61435, 0xbeab63ad, 0x1f3a3e24, 0x0fde9dd5, 0x859d0665, 0xac8082e7,
+    0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x40000000,
+    0x00000000 }, /* 10**00000000000000119085256588592232947601212684370662908500600535010190996519354\
+                         23375594096449911575776314174894302258147533153997065059263030913083222523904 */
+  { 0x00000000,
+    0x390db303, 0x667957f7, 0x88830dc4, 0x0298c521, 0x1324b7a1, 0x96ebbc89, 0xb1bc5af8, 0x5b838b4b,
+    0xfdd71bf6, 0xa5661735, 0xd7ab76a9, 0x3c881c84, 0x498a3702, 0x02a72953, 0x9aad58c7, 0x4a02212f,
+    0x2f214c1b, 0x1ec272df, 0x7a481765, 0x773fa718, 0x7c40f0f9, 0x1e46ed14, 0x1caeb6e1, 0x146a34af,
+    0x1b209295, 0x6609afa4, 0xda7e42b7, 0xcb05dbec, 0x3faad8ae, 0x132264a5, 0xab39d8cd, 0x8f06f1ec,
+    0x49f6a163, 0x2e396e0d, 0x257083c8, 0x50b5738b, 0xbfb58690, 0xdefb7f81, 0xc8eaa06a, 0x6d173077,
+    0xe9722a86, 0xe9a40d43, 0x6174c827, 0x5c2b69eb, 0xd10852a6, 0x18d686fa, 0xfcf3a0d5, 0x13a949a0,
+    0xea2f4231, 0x2992cba1, 0x57d43f8d, 0xdaddd686, 0x66aebd4c, 0xe0179c55, 0x9888d71f, 0xd0067eb2,
+    0x34f610eb, 0x809316f1, 0xd2b0720e, 0x7f5c9921, 0x640484ec, 0x6c57b63d, 0x699ab811, 0x3d1df6e5,
+    0x5791e61f, 0x7a36f138, 0xe67df839, 0x7a54a3c7, 0x2acad38c, 0x9cd707e1, 0x9013eae2, 0x6f77e051,
+    0xe7b54dbb, 0x49adb10b, 0xf82a266e, 0xc8c51aef, 0xe389987b, 0xa5137e35, 0x26eb138c, 0xdfc4824c,
+    0xd13fbd49, 0xac2b95ef, 0xbf90df0f, 0xb39a0d54, 0xa7849593, 0x9ee74e60, 0xa585ef59, 0x1911830e,
+    0x6372192c, 0xed714a3f, 0x52e22cbd, 0x83180cfc, 0x1e8a0695, 0x56b05f59, 0x76e75fc3, 0x99f36f8d,
+    0x9db01987, 0xb54fdd62, 0xb8f05688, 0xce73de5b, 0x48b64ff5, 0xc9487ccb, 0x8b5e6530, 0x3d39ab9e,
+    0x41b262fc, 0x72f6fcad, 0xe163a4b6, 0x45594b07, 0x17334a7e, 0x7416fd5b, 0xdb251e0c, 0xcbb5433d,
+    0x65ee8f46, 0x05f74cc7, 0x6f23dbb6, 0xeb2f27de, 0xca1deb35, 0xafc7f2cf, 0xbeedb018, 0x842ddb11,
+    0xcbf7a79c, 0x743a78df, 0xb88c84af, 0x2acd98b9, 0x4eb72b59, 0x2e0edb9e, 0x11fe36f3, 0x4fba8f4b,
+    0x5be27102, 0x85a36ae2, 0x4c7c6951, 0x1e95b836, 0x016f0626, 0xf54b0524, 0xc437fc16, 0x49f10172,
+    0x6ef7c0bb, 0x266d254b, 0x919814d1, 0x6080cd1d, 0x1e40055a, 0xd658a423, 0x8e24cfd6, 0x5fe969cd,
+    0xde8395ac, 0xccd5c184, 0x1a0869c5, 0xcffbf8da, 0x7da583f8, 0xbfa81481, 0x17aac943, 0x5f26272d,
+    0xddf98c0f, 0x80a727fa, 0x9eef0718, 0x42012add, 0x0e4b59f3, 0xd212a9a3, 0x79e70e7a, 0x5ba7cb11,
+    0x87ce20c4, 0xa5a92efe, 0xd908fe2b, 0xe1be6d07, 0xe1875a29, 0xfa0986b4, 0x35e6fca9, 0xba12a6f9,
+    0x343222a0, 0x006eb73e, 0xbbd77c24, 0x2642c406, 0xa7db9516, 0xca4615d8, 0xfd392fda, 0xb714f499,
+    0x3a0d47dd, 0x77911572, 0x6d7365df, 0x692be72a, 0xfcd3bb42, 0x745f960b, 0x930ed196, 0x53ff274f,
+    0x455b4263, 0xb2392f84, 0xead9a883, 0xc7f08c35, 0xeb2785e3, 0xd9989b1a, 0x021b0b22, 0xba9fd84e,
+    0x9bb98673, 0x1a25ca53, 0x92fd52d8, 0x5af4257a, 0xdac6e06a, 0x97841926, 0x98362a36, 0xd164318b,
+    0x2278a5ed, 0x487ac01b, 0xcee1a2b2, 0x603c3594, 0xcad38eda, 0xb943dd1b, 0x571f2229, 0x1b1884f5,
+    0x3e5903d8, 0x71c4f343, 0x7e8a2500, 0x0402a4b2, 0x92bb904f, 0x6d569fc1, 0xcdd350fc, 0x4191c65a,
+    0xfa174aba, 0x1694141c, 0x47587162, 0x3144653a, 0x9eff64b7, 0x18ea4a45, 0x0df15598, 0x50f1a9a8,
+    0xf1ef7dff, 0xc8c60308, 0x67176e90, 0x59216660, 0x1a16d0e2, 0xa137cc6c, 0x42258212, 0x7c515a44,
+    0x5924ea93, 0xd62cce1d, 0xf974ef7b, 0xb0e1c258, 0x71366233, 0x4cdf2fc9, 0x114d2887, 0xe2f7be8d,
+    0xdcaf3626, 0x4a5cd0e0, 0xd5dc0bf3, 0x990bd44f, 0x6d3bdccd, 0xaaec3cbb, 0x40287922, 0x6e4714ba,
+    0xc9bf7fc7, 0xe1f843a0, 0x533eb5f2, 0x9ec8cc91, 0x99694b83, 0xb5f61680, 0x4c4632f2, 0x6ff8f519,
+    0xf4b1b89e, 0x0291ea0a, 0xc5474329, 0x42dc0621, 0xc23c4e63, 0xb103e8e6, 0x1f32afb9, 0xab93c14d,
+    0xf4e70ac8, 0x2bf42614, 0xbef993d1, 0x7a7aaf37, 0xc53ec7c3, 0xe6fe1dc6, 0x78dd1b3a, 0xbe95587b,
+    0x0a4648f5, 0x3681ec95, 0x685883a2, 0x4bee35af, 0x97fb8e10, 0x6b257ec0, 0x764998fa, 0xb4979c62,
+    0xfa231efc, 0x48e0ebe1, 0x43f84262, 0x66970004, 0x3a5f660d, 0x2430fa54, 0xea4b0540, 0x20a123a1,
+    0xe42201c5, 0xd39765af, 0x72548a2b, 0x1727347b, 0x8e2b5d13, 0xae47ec43, 0x883d5f8a, 0xc5dcf924,
+    0x20fe3dc4, 0x08d27eee, 0x9fd75846, 0xdbbf46da, 0x33b1f638, 0x2de66669, 0x4389bee7, 0x417e5658,
+    0x1a3ac22c, 0x2b3febcd, 0xea175e96, 0xc8e69693, 0x51ab6e3f, 0x5441694b, 0xc9b66dd2, 0x11919004,
+    0x91082890, 0xaf913cf1, 0x113a141c, 0xbcef2935, 0xb57101a8, 0xecc1d14c, 0xb49dc1af, 0xbf9ea0cf,
+    0x85d63f6b, 0x4f8b8a98, 0xfe188880, 0x14a715a8, 0xa32b9eea, 0x355a5a99, 0x50b68cb6, 0xaa1cc0ce,
+    0xe32be4f8, 0x5d13fab3, 0x5679d419, 0x0832dee9, 0x37339e32, 0x45b22d81, 0x396efc74, 0x279247a6,
+    0x68c8dc42, 0xe5ed1b87, 0xb8fc6c3c, 0x5bc1be0c, 0x2b1b65bd, 0xd1fd0922, 0x0161d35b, 0x9e6e4fe7,
+    0x28eadc4c, 0x151b693f, 0x0e8ffdfd, 0x5258ace2, 0x1cec8dc2, 0xc5655160, 0x62ddace8, 0x9234f59e,
+    0x8911fb46, 0x87eacbbf, 0xbb4cf145, 0x43d00b87, 0x8048d7f0, 0xf6cee0a0, 0xa85653aa, 0x9a90901f,
+    0x7d16bc53, 0xab4f83d5, 0xcbe2e915, 0xa2ea838a, 0x276c66b9, 0x5b071a44, 0xe60be2a5, 0xed814448,
+    0xc2bfa00f, 0x20135197, 0x8db89795, 0xd7a77993, 0x04e800f2, 0x227d687c, 0xd6f0e33e, 0x44b41b93,
+    0xfa4148a7, 0xec47e3d1, 0x1778b58e, 0x0be89c22, 0xfda10da9, 0x6156dc5c, 0x95d9cb19, 0x09cf6308,
+    0xe0901247, 0xc55095e1, 0xb87bb146, 0xa94135aa, 0x7b83a63b, 0x9bbaa73c, 0xefe24ad4, 0xa11b768b,
+    0xda703064, 0x7547d57b, 0xb3458a55, 0xc621d662, 0x0fdf9ea4, 0xb4cd4d38, 0xa869a549, 0xcca7f556,
+    0xddf04558, 0x0f844674, 0x44895563, 0x656d94b4, 0xc9ec15f5, 0x817f5b70, 0x908cd528, 0xdc1d4cdb,
+    0x8d3fcab5, 0xe1b392ff, 0x9ebf5662, 0x4ff3f8e1, 0xb58ee722, 0x6674f513, 0xa5314649, 0xedd5036e,
+    0x1290cdb1, 0x73d93642, 0x56f38923, 0x9ebc5123, 0xa479643d, 0x3c30a3f1, 0x307ed029, 0xc1b53ead,
+    0x54101430, 0xb618a392, 0x1e08047b, 0xf0137468, 0x85e2d82f, 0x86e924cd, 0xd93001a3, 0xd5735f21,
+    0x7de78d93, 0xde4d1f6a, 0xdf53ac67, 0x1103749f, 0xf71f1ee9, 0x5b3f18a0, 0x7ca0b97c, 0xa9fff76d,
+    0x8656e4ec, 0xed180232, 0x08ce4c02, 0x8f407fd1, 0xdebbf006, 0xfb047bdc, 0x89326d87, 0x980a7226,
+    0x24d05733, 0x74843b41, 0x6ed1a1d4, 0xfe3ffac0, 0x5a9828cd, 0x5863d6cd, 0x5f442a03, 0x01c41066,
+    0xcdcf20d1, 0x355d5959, 0xe0b8f48a, 0x12640836, 0xce94e819, 0x0b7b0039, 0xa8c79e8a, 0x5aa8fdcc,
+    0xd9cfaa2b, 0xb4bcfc57, 0xa0805e75, 0xad087612, 0x2fc922cc, 0x338cbc77, 0xb2509427, 0x6cd9742c,
+    0x31b95148, 0x44fba350, 0x2d1c1b6b, 0xfffdb94e, 0x25b76791, 0xd5c7077a, 0x9beda756, 0xc53601da,
+    0x2435cd36, 0x7baf97d5, 0xb05ac0d4, 0xa819297e, 0xd4cce7b7, 0xf27199ae, 0x23ba8c36, 0x726c9575,
+    0x631f2ba7, 0x44477026, 0xddc965d7, 0x9d20e214, 0x8a80b4be, 0xf23471b4, 0x470d5c24, 0x3bcda1b6,
+    0x661cb22f, 0xbe9293c9, 0xc23a35fd, 0xba5634bd, 0x8bcd8033, 0x97e75374, 0x5ed40a5a, 0x9dfb27a1,
+    0x8366c546, 0xda07a381, 0xbd4322a5, 0xe70bf10d, 0x1406c0ca, 0x6f7cc7a4, 0x483c6ef3, 0x5e4100e6,
+    0xa84f46c1, 0xb8c6624f, 0xfce75de1, 0xd3c62717, 0xa3cb5b1b, 0x99bff078, 0x9645dc2e, 0x7f296143,
+    0xe56c503e, 0x871ec387, 0xee732644, 0x8661020f, 0x78127f78, 0xd2e107d6, 0x347199ba, 0xf2da2107,
+    0xb7cb983e, 0xa9a315e5, 0x22cfc637, 0x9af0f1ce, 0xa52627c0, 0xc1421a61, 0x48f973b7, 0x150eb337,
+    0x749d463e, 0xdc0f26b7, 0xcf820a10, 0x33ca8e02, 0x30924aa1, 0x667d9951, 0x7703717a, 0xf22909e2,
+    0x346b1b41, 0x7274bd0a, 0x15a2e72f, 0x8c924fb1, 0xb5475023, 0xb5f68523, 0x1e7a360a, 0xe5fc5dba,
+    0x2345875b, 0x9158a3f7, 0x8c51b9db, 0xb876f3a9, 0x1a3f15e8, 0xfa1440f6, 0xf0b604f3, 0x9f17e4d8,
+    0xfa8f97bb, 0xf920d65c, 0xd36abbdb, 0x44b6c125, 0xc82389bb, 0x6311f65e, 0x874b520e, 0x8e45cf6a,
+    0xfd31e5ac, 0x7607d826, 0x48aa672b, 0x9cb86dec, 0x2733d7c6, 0x224f3a72, 0xbfd0b87e, 0x4ab497bf,
+    0x5c1fe700, 0x469cba84, 0x63050af0, 0x65a136f8, 0x639a52f0, 0x9c2436c1, 0x528f0987, 0xed5011c8,
+    0x7783712d, 0xbbf97fd7, 0xb4d1f79e, 0x6b732546, 0x401dd59c, 0xf793c794, 0xc9474c08, 0x796a9d5b,
+    0x4a123eef, 0xc8f9ffa4, 0x03e28ce1, 0xdf9997ef, 0xb02b8925, 0xb82c1783, 0xb9ecc07f, 0x5376a6cf,
+    0xaa49d1d5, 0xc9924e4b, 0xbbf65c95, 0x292d2224, 0x07a74376, 0x76b51606, 0xa9cde366, 0x5f35ce4d,
+    0x186bd1ea, 0x2a912ee8, 0x6519793f, 0xbf3708f0, 0x08d20c6c, 0x0be0c6f8, 0x7af08702, 0x1e3ace21,
+    0x6e3cf3d8, 0xf0fa1aab, 0x69fb19ee, 0x21e4ed64, 0x163a7053, 0x4977bdc4, 0xf6fd1fdc, 0x2917483b,
+    0x4c90b820, 0xc0d3f1b0, 0xc0f0d885, 0x78a1b248, 0x9e0aed99, 0xf0d61a38, 0x101998d4, 0x6e0fcdaf,
+    0x87929b79, 0x69d16a55, 0x310e48be, 0x477413fb, 0xb6354ef6, 0x60ce0d94, 0x001693ce, 0xbaa78547,
+    0x3fb1ad87, 0x2dca3d63, 0x410ced46, 0x6c806053, 0xa2a75019, 0x9a19c5ec, 0x24dbfe69, 0x1aada1d5,
+    0x5c1d8805, 0xd484af42, 0x9f320dfd, 0x8c475e27, 0x661ca58b, 0x550ab15a, 0x6eed1741, 0xac44ed5e,
+    0x51c7e658, 0xcdfee998, 0x265374e9, 0x483159f0, 0xca79b5ed, 0x985adfe6, 0xe4e4e0b5, 0x4e7bc731,
+    0xb358626f, 0x0a461df3, 0x2ef358b9, 0x3ec7ea6b, 0x765e18a0, 0xdf4735ec, 0x18a79673, 0x89624d97,
+    0xc4400d90, 0x5bffdc53, 0x4403d051, 0x916d65d0, 0x8e1a950a, 0x9436ce90, 0xa669e15f, 0x379e54f0,
+    0x743c21be, 0xff18963d, 0x3c21dc5d, 0x54e54b36, 0x60196b62, 0x96bf8162, 0x33c1bd25, 0xa670bc27,
+    0xd813f52a, 0xcc08d199, 0xe824a8fa, 0x5a8a5b91, 0x2d0dce0e, 0xeb53f4d1, 0x68a2de66, 0xda5356f5,
+    0xeecc2ec7, 0x3671ecc6, 0xd107f56a, 0x6a669e66, 0x3c7ebe51, 0x99a4b45f, 0xbd946cca, 0x3422182e,
+    0x96dae66d, 0x9f4307a6, 0x0fcc739f, 0xea71570c, 0x767df6ee, 0x9f1bb41d, 0xfd4b66f1, 0x016d9518,
+    0xf7b71cf1, 0xa139fc23, 0x7922069c, 0xf65a433c, 0x7ebef33d, 0xfef70543, 0xb443348f, 0x83a8eb3f,
+    0x9fedc194, 0xcb57795d, 0x01846889, 0x64912121, 0x70075fe9, 0x8711ae68, 0x79193e7e, 0x9357509b,
+    0xb4515fd9, 0xe4dfd123, 0x22a71f1e, 0x0e2509f1, 0x48dcb213, 0x32c9450d, 0xb29f3877, 0xf78367b0,
+    0x389e6b42, 0x9cb9d97a, 0xb72acf46, 0xd6699790, 0x0c8d9f3a, 0xfc141abf, 0xc2f8523d, 0xa343e89e,
+    0xb04a48d0, 0x3bc6cd64, 0xcaf53250, 0xa6c3b190, 0x6a155850, 0xa2c88f79, 0xb0a125e3, 0x87165209,
+    0x8a65b352, 0x4c97276d, 0xd68567b7, 0x2f409a56, 0x9a332d98, 0xba05c697, 0xf96a4a81, 0x60a47e2c,
+    0xfe87e90f, 0x1aac9d31, 0xb435499e, 0x21f9d7cd, 0xf826cea4, 0x7ec2da69, 0x7a7f996e, 0xf4cb7649,
+    0x81411086, 0xc3249e65, 0x84e5afe6, 0x48ffcf35, 0x7192f4af, 0xc82ecdd6, 0x9b404c34, 0x3f714112,
+    0xea3ad918, 0x5b7b3302, 0xf12cd81f, 0x8fc7caa7, 0x649d84cd, 0x54dfe6a2, 0x993d1b0d, 0xef3a6c99,
+    0x4d926602, 0x083dde6a, 0xda8e6984, 0x1e0a14c6, 0xf702c6dc, 0x3f604bd7, 0x73d59d2d, 0x5ef6f3b4,
+    0x3c512eeb, 0x5efd980c, 0x72b7386e, 0x3d7cb700, 0xc4eedd49, 0x2e1d35f4, 0xa1280416, 0x8b3a94f2,
+    0x8635ca48, 0x3aa135f5, 0xcb325564, 0x06217dc1, 0x48d15806, 0x092f92e2, 0x6197ec8e, 0xe85fde2a,
+    0x4d9d630c, 0x5fd0b30a, 0x646d0d72, 0x9b289cea, 0xa5e4da98, 0x7e11d49a, 0xeb760b1b, 0xb0ab7c26,
+    0xfd45074b, 0x5b868012, 0xc89fa27d, 0x8f65187f, 0x80332b36, 0xed60591b, 0xf6406f2c, 0xe1dd5194,
+    0x0220b111, 0x58e53c63, 0x45235538, 0xd3e7c45a, 0x20eeb443, 0x61ea20d7, 0x2e8e4402, 0x59be0e99,
+    0xfefbbf24, 0x179eeb7a, 0x3b6c126c, 0x62b99f18, 0xa460a5e1, 0xee19494c, 0x85ff6a38, 0xf4c6ff12,
+    0xaad09f48, 0x94626331, 0x7fc371c0, 0x63182395, 0xf02af64d, 0x00876029, 0x3987c405, 0xf428e6da,
+    0xf2a4bd4d, 0x16de2903, 0xa465b0da, 0x3aeaf0b4, 0x2a412d4d, 0xb6c095d5, 0x41baab91, 0xced5df79,
+    0xbe158606, 0x5843a8b4, 0xc7f1ca03, 0xb14efbd2, 0x8ce35547, 0x54b88eec, 0xc1fa8ae2, 0xd8405ebb,
+    0x99f03db9, 0xb1bd561a, 0x779d259c, 0xfa47ebc7, 0x602f2677, 0x19564d72, 0x5d362e6c, 0x1652bc96,
+    0x0e1ae2ba, 0xf619c3c9, 0x181bbed7, 0x7d91f03a, 0xf94ae011, 0xbe6cb51b, 0xa7da1abc, 0xa310e4aa,
+    0xba5b91b3, 0x198b71c1, 0x1a6b1a11, 0x7f080f06, 0x6257d129, 0xf41a26e4, 0xf3e04e93, 0x2ced91c5,
+    0xbaa68cdd, 0xeec51476, 0xbee090e9, 0xb28bbff4, 0x15b99e73, 0xbd450284, 0x648809ec, 0x34269afc,
+    0x5455323b, 0x0139b063, 0x44abe3e3, 0x35340285, 0xab48ecec, 0x8d9cd8f5, 0xdea191b2, 0x0271cf2d,
+    0x1509f326, 0x7eddf090, 0x245e040c, 0x11d52c0a, 0x93b8b29e, 0x06fff91f, 0x16f23041, 0xf45c0793,
+    0xac4e4cba, 0xf75156cb, 0x893ad96d, 0x6b555378, 0x0b63bc78, 0x4b26ea5c, 0x579c0ece, 0x105b2b93,
+    0x5c324ed4, 0x61fb8d09, 0x7095049f, 0x0e46432c, 0xc234ac39, 0xcbaf14ee, 0xc75990fc, 0x4fd75178,
+    0x3cf67998, 0x5e97b33d, 0x49343883, 0x1a9d4790, 0x3abb6579, 0x068b7e2d, 0x31db0d77, 0x0304098a,
+    0xb37a1c63, 0xbda68dfb, 0xf512854c, 0xdae0fec6, 0xe13cd670, 0x6b3467a5, 0x0d2ffaed, 0x0f4e874f,
+    0xff8ae709, 0xd57b0252, 0xa9582813, 0x911d6cbf, 0x0023d5f6, 0xf32c2379, 0xc7f7a1ac, 0x0ea78089,
+    0x68247a57, 0xfbb20a9b, 0x3c225f8a, 0x43729699, 0x8b06a487, 0x521a163b, 0xcebdf9ca, 0xb893e217,
+    0x6a44a6ea, 0x36312ccf, 0x84854668, 0xcdac3ce7, 0x17641b8a, 0xab2660de, 0x150137ee, 0x185a4a78,
+    0x3f6725fd, 0x57a46907, 0x3a7f5ddf, 0x10364b8e, 0xb90f5fb3, 0x767362e8, 0x452208ef, 0xde010a80,
+    0x4ff4c216, 0xa9c99127, 0xc1da71f2, 0xe0648b17, 0xd19ad7e6, 0x2c009fae, 0x7e6d912a, 0x1a7595d1,
+    0x3620babd, 0x144b4566, 0x93b2c594, 0xc67c1111, 0xbe868066, 0x89a260ba, 0x8e7eaad7, 0xe5a876ef,
+    0x6c879834, 0x7b638041, 0x7a4137ff, 0x1737d895, 0xad447905, 0x4cfbd5a7, 0x16c15b4c, 0x43c24b86,
+    0x8a23952d, 0x9827e1ab, 0x75ddbaa0, 0x06f2ce39, 0xcbedfcdd, 0xb3d43736, 0x0919506e, 0xceed1ca5,
+    0x00000000,
+    0xe52a67f7, 0xf72402b2, 0x85eb0a1a, 0x5f55b1d6, 0x8f9d1f12, 0x87ef4eea, 0xc2ce8332, 0x56404173,
+    0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x40000000,
+    0x00000000 }, /* 10**00000000000000059542628294296116473800606342185331454250300267505095498259677\
+                         11687797048224955787888157087447151129073766576998532529631515456541611261952 */
+  { 0x00000000,
+    0x74705b59, 0x61d63367, 0x401b2c18, 0x0b39e59d, 0x43cca33c, 0x895eb69d, 0x0fd5b8eb, 0x1e17fa6c,
+    0x4cfdf57e, 0x8df6fb90, 0x9055ea8c, 0x47362ca9, 0x956f2611, 0xcf351042, 0xf026466d, 0x762c9dd7,
+    0x4cdeea06, 0x3fe54edc, 0x0b269cce, 0x9364b931, 0x6406844e, 0xdf0ce7fe, 0xf5577e59, 0x646b0c91,
+    0x68cb3a75, 0x587c668a, 0xc9a01db4, 0xd49d77c6, 0xf2799fa8, 0x0ff8cf00, 0xdbca194c, 0xe3bdb3b4,
+    0xdd60d8f7, 0x11713f0e, 0x5d13e5ad, 0x9ae42f74, 0x9fdcfce3, 0xc16bc5af, 0x2252149c, 0x7447064f,
+    0x83fdc27c, 0x2e5ae56d, 0x385d0d71, 0x8f5df580, 0x7fe15483, 0x16a25c09, 0x4594eb19, 0x65088e7e,
+    0xd22391d7, 0x693fba73, 0x039c578d, 0xd62227e2, 0x2bf1715a, 0xceb57292, 0x4a37cdff, 0xc1d7c08e,
+    0x780ca4a8, 0xc76c8318, 0xbf26afd1, 0xb450b86c, 0xf8f492e5, 0xfc53376a, 0xb6107c75, 0x1906f515,
+    0x8446386e, 0x0f691fa4, 0xde3d1b98, 0x231ce9f2, 0x1105f041, 0x2ec4e222, 0x818586c6, 0x362e1c9f,
+    0xdbe5b04b, 0x23d4156f, 0xddd1f04b, 0x68f872c7, 0xc1c7c8ef, 0x6adf97e5, 0x7a9bbe9a, 0x00140186,
+    0xe7d10865, 0xa57d4a61, 0x3e38937f, 0x8c4a5773, 0x382c59e6, 0x1cd15981, 0x39563fdd, 0xf5cc6d1c,
+    0x3ee47432, 0xd0246d15, 0xc5d1b978, 0x5ca127fa, 0xb1c91dd6, 0x2fc28e10, 0x41503d11, 0x9957800b,
+    0x9eb6a54e, 0x811cff48, 0xc823b664, 0xd1ba4441, 0x4b817ea2, 0x35a65857, 0xfd6c75e4, 0x6be3f727,
+    0x1a573dbd, 0x4b53f8a5, 0xa7178e97, 0x2a359e1a, 0x7c61e8a4, 0x9c9f9d3d, 0xceebe5e8, 0x3ca08683,
+    0xd1df1e89, 0x3478fbb8, 0x275716e8, 0x2291e0a8, 0xf78ca132, 0x1327f1f8, 0xb48418de, 0xee3f0cac,
+    0x83427995, 0x83d15317, 0xefc20c6d, 0x86e4dcdc, 0x8e62f565, 0x4f2cb329, 0x1f31a3e9, 0xa0a47fc4,
+    0x75fc9c7c, 0x651375ed, 0x2fdccc51, 0xa13d76d0, 0xbf5aeb48, 0xceb62a39, 0x4e9fb477, 0xdd429b95,
+    0x61c73765, 0x83cfc2cc, 0xfed57daf, 0xfcd3a6ce, 0x65acc9f7, 0xe87ffe3e, 0x90f663c3, 0x889f7d8c,
+    0xa477b55e, 0xb558d1e3, 0x18420247, 0x65b9bba8, 0x420f23cf, 0x76101afd, 0x351ba016, 0xe4f9d66a,
+    0x0d7f4e14, 0x5e3870a1, 0x233e3296, 0x9a83b442, 0xd0b605a8, 0x7267a441, 0x29e9c0ed, 0xadfb996a,
+    0x768ca15e, 0x6069038d, 0xe434dfca, 0xe4771385, 0x234bf418, 0x73aa3564, 0x15cf495a, 0x8c1ef8eb,
+    0x03e66360, 0xa006035b, 0x13b21e23, 0x14b2a2e5, 0x07d86252, 0x0a926c2d, 0x60b3d481, 0xcd57616d,
+    0x09424d41, 0xad6892c4, 0x777b02a1, 0x60309355, 0x580100fb, 0x6e51ca17, 0x43abe4d6, 0x0fd83fff,
+    0xb7f484d7, 0xeefb5091, 0x1234f67b, 0x0713b560, 0x538d2541, 0x70457e81, 0x4f842d89, 0x097383b5,
+    0x53e6be5d, 0x60eaba1a, 0xc21f16b9, 0xf316287e, 0x42fbef55, 0x2604f50b, 0x6e07518f, 0xbd7cf0b6,
+    0xbeaeb367, 0x186decbd, 0xbf88115e, 0x27bebe48, 0xd8ec57f8, 0xff1be2aa, 0x5180ca08, 0x85b278e0,
+    0xde6017ce, 0x8e685cc2, 0xe039d74d, 0x36f3f0a8, 0x2d7542c5, 0xf487172c, 0x3a688aec, 0x37354e6a,
+    0xb1f3ae8d, 0x88b66747, 0x5f982097, 0x9128c9b1, 0xb3889abc, 0xa10e2270, 0x1ca0d3e5, 0xf9c354ef,
+    0x6dd33af5, 0x23612cb0, 0x88e6ed62, 0x662cd98a, 0x9af15c00, 0x45a99727, 0x82e69dfb, 0xea40d20d,
+    0xee2a5bac, 0x0bf48d5d, 0x01ee4216, 0x54594587, 0x9f47cd4d, 0x4fbb0262, 0x62dccbe5, 0xb24fa81e,
+    0x0e707066, 0xcf01ae19, 0x0755080a, 0x787a4661, 0x9d2011ad, 0x94035a1b, 0xeaf1b7ff, 0x655373b3,
+    0x196bec83, 0x6c0c6320, 0xc9bccc2c, 0x5a6d40cf, 0x71683311, 0x85644d19, 0xda2d8f68, 0x64a22d33,
+    0xebd7fe52, 0x48c256f5, 0x4cce2a17, 0xa302590f, 0xf5af6ea4, 0x8288e99c, 0xa15b6e23, 0xc30761c6,
+    0x29e83551, 0xa5e64a3d, 0x120672f6, 0x9e548416, 0x11cbed6b, 0x3bc2e534, 0x131229ef, 0xab37f5b4,
+    0x528ccc28, 0x9e7e76b9, 0x4aba3880, 0x9f7aec7c, 0xaa0e65a3, 0x427583b1, 0x47bd9472, 0x2ead81e1,
+    0x77b8f85e, 0x6b638d3d, 0x9a09f6ab, 0xc7081976, 0x05eac399, 0x26ec6168, 0x5c70d675, 0x507379d3,
+    0x5be6494e, 0x2adf82f5, 0x479b6fab, 0x86dd5bc0, 0x973e76c0, 0xf13d8d7e, 0x49499306, 0x2fb36cd6,
+    0x4e5eef48, 0x6aaf208a, 0x488d3c8c, 0x0fb710da, 0x30f6a0f7, 0x51396b93, 0x3f292fb5, 0x2f12b8e1,
+    0x50e1caea, 0x61346da7, 0x825c2ad4, 0x485ff68d, 0xb9b049f2, 0x5521b686, 0x6324edaa, 0xc2d30a84,
+    0x6bc1d2ed, 0x18e72408, 0x45286a1d, 0xc8d375b5, 0x973514d6, 0x5aedd2de, 0x4fbcfa1f, 0x622e9f30,
+    0x1796eecf, 0x169d11a5, 0x50af54d0, 0xd7c92cc7, 0x5577be49, 0x96cf38fa, 0x9aec5b87, 0xfca3ed20,
+    0xae9a5790, 0x99257357, 0xb331851b, 0xb504b081, 0xf4c4c69a, 0x1f4788a7, 0x0e7b09a2, 0x532fef92,
+    0xc3af5fc5, 0xdf5eaf93, 0xbe26541d, 0x142a21bf, 0xbdae1b80, 0xe39d21be, 0xfd7afd34, 0xf37b8d33,
+    0xb83d02ee, 0x4705a530, 0x6e8351eb, 0x9c5a162b, 0x1c1d553a, 0xf8f5c0d6, 0xcf189bc0, 0x5a42a8c4,
+    0x2b6616c1, 0x321c7f31, 0x2c37db62, 0xa7403e12, 0x2a623a90, 0x7443510b, 0x9cc45d4a, 0xd009f4e7,
+    0x403c83f9, 0x4b8280e1, 0x16784a3e, 0x0a4e591d, 0xbeb73348, 0x4bd9be90, 0xd88c6c09, 0x17375569,
+    0xcf01d927, 0xa1aceb1f, 0xad7909c6, 0xfcc00df2, 0x67e48a44, 0xf649b4d8, 0x4997a4ca, 0x1a8bae14,
+    0x0f2e24c0, 0xb51dbfe6, 0xec05c50c, 0xbde1deca, 0xa3cd502f, 0xc63df93a, 0x39288560, 0x1a7f054c,
+    0xb9b2b3bd, 0x1851998f, 0x15efc7ad, 0xa5d98cd6, 0x20b4b5df, 0x1e1e008f, 0x32ea3a06, 0x3946f040,
+    0x0304b8da, 0x748258cc, 0x85bdbb76, 0xc4e07892, 0x8acb3c50, 0x55c5a487, 0x80db85de, 0xd1530a4b,
+    0x3a3ffc70, 0x5d89fee4, 0x8703e64f, 0x646e26f7, 0x9c9ad6ee, 0xa329b731, 0xe9b1f2bc, 0x01a0bfa5,
+    0x6241469d, 0xe3adc0dd, 0x40184c44, 0x82af798d, 0x3b5de35f, 0x158c121b, 0xac661a09, 0x6f936795,
+    0xababecbe, 0x93bb4140, 0x2f18205b, 0x39504f2f, 0xf233e592, 0x9653e735, 0xd776b94e, 0x726a4709,
+    0x3568ae69, 0xa13f76d7, 0x77b94196, 0xb4092754, 0x787bb8b1, 0x83ede17c, 0xd864e51b, 0x72f8c3b7,
+    0x2dffdfb4, 0x615e305d, 0xd42872e9, 0xa9b3c83f, 0x24f9ca7c, 0x255d0cd8, 0x3d1ce3b6, 0x92ed6f58,
+    0x5a1bce31, 0xdfa421a1, 0xd63a135d, 0x663b7527, 0x06efbcdc, 0xf8c1a2f6, 0x7b00c30b, 0x2b0f43ac,
+    0x19ba5e00, 0x143e7690, 0x35ede543, 0xd9d5b599, 0x94918457, 0xc8f1e576, 0x4b540bd8, 0x22d3365c,
+    0xda2cc506, 0xf09fc399, 0x4c0e5f0f, 0x0126771b, 0xff20e1b9, 0xd9058697, 0x74f09ec0, 0x8cd8dbe5,
+    0xb02cdb90, 0x62bd2652, 0x7a90fb11, 0x194ba968, 0x3b0a3944, 0x881a6c3d, 0xce905d2b, 0x50d4fe7c,
+    0x854e0576, 0xf8becb71, 0x734b668e, 0x2f7f94e3, 0x9ec8d999, 0x28fd7ed1, 0xae8c300a, 0xde99e8cb,
+    0x4d3f3326, 0x891ec7ff, 0xc65fa4e1, 0xad24a75c, 0x8aebd760, 0x922cb1a3, 0xd0c49b04, 0xfbfac51d,
+    0xd4f85e7e, 0xeb35214e, 0xc3b7a8fb, 0x69974850, 0xf636f405, 0x5928b888, 0xfabff635, 0xe1005742,
+    0x833038a6, 0x68562abc, 0xe496bd73, 0x0178fbe2, 0xad97ede5, 0x42d6897f, 0x3b98a044, 0xa1bfc521,
+    0xd047479e, 0x76006158, 0xcc03fc02, 0xee4711b1, 0x99636415, 0x228405fb, 0xb9d9e32f, 0xacfe590e,
+    0xf94e3364, 0x9505251c, 0xa069791b, 0xb2f172eb, 0x84158d9d, 0x507db9e7, 0x08de462f, 0xfb19b70d,
+    0xeece63b7, 0xf393ced8, 0xde50fe30, 0xa441ee9d, 0x1fe4b0b5, 0xbba8f4c0, 0x27f5be4a, 0x6755e7d8,
+    0xfbf6ec60, 0x77d84b43, 0x6a9fe869, 0xcf253755, 0x82589033, 0x66ade865, 0xa883e78c, 0xe9aad026,
+    0x28053c03, 0xbb8879a2, 0x28bb5379, 0x590b90b7, 0x1e7086c0, 0xf13a95cd, 0xc58fc5d8, 0xc3a3b505,
+    0x1ff3b468, 0xe2adf0c6, 0x23d01ded, 0xcc9ca2af, 0x5001d6b9, 0x789defbf, 0xda782a25, 0xd99fc8f8,
+    0x7ee8d1b0, 0xb412e318, 0x17b034a8, 0x59a35e8e, 0x72461e6b, 0x5c98520a, 0x3253f1f0, 0xb9c124e6,
+    0xa51be681, 0x88e48915, 0x7622e770, 0x1042a90d, 0x3c7f6685, 0xb1412a86, 0xea04fdfa, 0xc0838425,
+    0x9e3c8965, 0x3e3c1a87, 0xbfae1f44, 0x6961ffd7, 0x88d9efa0, 0x12b95ab4, 0xb9c730bc, 0xd52cba24,
+    0x895fcab3, 0x3dd59ae2, 0x734b3bc7, 0x13ad6994, 0x3ae99825, 0x85df4bf5, 0xe1f7bc30, 0x79d1611e,
+    0x404d63bc, 0x1882c74c, 0x374f6a32, 0xac0042f9, 0x6cb63520, 0xa6389760, 0x16fd31fd, 0x31251a53,
+    0x18cc03d8, 0x6a0c986b, 0x4bb75df3, 0x88c1ac14, 0x205cde71, 0xcc56107a, 0x30e60faa, 0x6fdc7c89,
+    0x945c0962, 0xb104c62f, 0x453a540e, 0x094f631d, 0x5c57267a, 0x4b52d70d, 0xd55fbcde, 0xa1144e8e,
+    0xe5a7dfed, 0x6795df18, 0x2b59e742, 0x4cd89400, 0xb682bb8d, 0x04bff51d, 0xae132b89, 0x299a4340,
+    0x39f10092, 0x56c05ad7, 0x6af44feb, 0x8acfc3fe, 0x74383283, 0xdd8a9556, 0x9b49c7b9, 0x8bc502eb,
+    0xabb2b4c8, 0x7eda1528, 0x708d8fdb, 0x74f79076, 0x8af0368c, 0x4948af4c, 0xa40156ce, 0xdcdacbf3,
+    0xf51434e4, 0xe4b1061a, 0xc98b0e1c, 0xe57d2867, 0xfeca7cb9, 0x3d5c527d, 0xabc66140, 0x4b3b883c,
+    0x7da3cf97, 0x163faeb4, 0x83677914, 0xb680baea, 0xf60e82cc, 0xa9734f85, 0x4b894e86, 0x56a8be41,
+    0x321e501f, 0x7b430483, 0xb5d1745e, 0xdc840082, 0xf3e4d5bb, 0xa6b00ad6, 0x82e1deb6, 0xbad5a19a,
+    0xa0b460b8, 0x20325428, 0xb58e6e4a, 0x628ecdc3, 0x28701740, 0x446180e8, 0xd8c6e5af, 0x5e028028,
+    0x45e5caae, 0x36a0eebe, 0x285c84c9, 0x90d8d585, 0x9e154694, 0x69598063, 0xb2d7fd8b, 0xf9862157,
+    0xa7ec0b53, 0x371b4510, 0xfcfec602, 0x438ac606, 0x929b71d9, 0xbf318b9e, 0xa61f7103, 0x9bd82abb,
+    0x4f380144, 0xa03c79a0, 0x05dfc243, 0x7ebffd71, 0x51fff2e7, 0x68573185, 0x35eae2cb, 0x5a920e71,
+    0x05084a1c, 0x207f21bc, 0xb1511dcb, 0x531ceb1b, 0x76dc7622, 0x72f6a837, 0xc860c232, 0x2a9685b3,
+    0xed8c228a, 0x8773e601, 0xd00e0070, 0x2f84ff2b, 0x8ffc280b, 0xf75bd8cc, 0x8daaa464, 0x7f0be99d,
+    0xde28e344, 0x513a4214, 0x98f2646d, 0x537af950, 0x389fc127, 0x7f55ca1a, 0x042228ff, 0x918128fb,
+    0x5b7a79ff, 0xe93b5b5d, 0x79d526ae, 0x7bae530b, 0x6859c561, 0x0ea54d2f, 0x3206fc9c, 0x541a439c,
+    0xe0e5494e, 0x374af52a, 0x99867fc1, 0x3fb63236, 0xf949af33, 0xee55d231, 0xee04df91, 0x523d4d0d,
+    0x6c86dc12, 0xb706142b, 0x4b45dc6f, 0xf958070a, 0x40ddb40f, 0x6d5303aa, 0x6f8560d3, 0xdec26a2b,
+    0x52272c0a, 0xf7007478, 0x85d04920, 0xbd8874c6, 0xd3ea2e2a, 0x99a7af84, 0x017948a4, 0x18185073,
+    0xdf40e3e6, 0xb636d496, 0x7b7a9bdc, 0xbee854f8, 0x3a1885a8, 0xe889f443, 0x4cc770dc, 0x5553f85f,
+    0x4f289236, 0xa9e46f4d, 0xa916060e, 0xb6c5dfe5, 0x9d6ba0d4, 0x3a249174, 0x3f2a1665, 0x0c788356,
+    0x806b6dfe, 0x20251a98, 0x9f500472, 0x8e458c88, 0x4dab8a18, 0x9f4ba496, 0x590c7772, 0x76ca4b4e,
+    0xcc3c6efd, 0x32f1f07f, 0x5d00e3bf, 0x2123bf74, 0xbb0d4ede, 0xd5882bd0, 0x0907e11c, 0x24575c13,
+    0xa1608d8f, 0x6c56bbe4, 0xe3c70463, 0x8402343c, 0x51b401b6, 0x28d4961a, 0x1cfed023, 0x53d7d730,
+    0x4ccfaafb, 0x1c1756a6, 0xcb835b41, 0xad9d89c4, 0xa77112ba, 0x91dc29fa, 0x0cbd83ff, 0x2a2ee07a,
+    0xdf7c210e, 0xc17a2710, 0x21b50f45, 0xe8b9c2cf, 0x47de507e, 0x2eadb2e2, 0x26f29130, 0x872bea2d,
+    0x8f78ed40, 0x517ee999, 0x4813a0ba, 0x145ad73f, 0xc10f02a7, 0xf28e6710, 0x1766e05c, 0x945b3853,
+    0xcd233bfd, 0xeeee3541, 0xf6291588, 0x91faf83d, 0x2eabd722, 0x620d53bd, 0x583cfec9, 0x49708170,
+    0xbfff9ab3, 0xc217c818, 0x28feac84, 0xeaf35e10, 0xfda07271, 0xdb5fc01d, 0xf98951bb, 0x847445c6,
+    0x1915e638, 0xc629e0e5, 0x71df5421, 0xb4968213, 0x76445538, 0x564d8a5a, 0xcce34519, 0xeb6022ef,
+    0xaea77fd4, 0xd26a0d65, 0x1edf5858, 0xb3f773c6, 0xd4b32087, 0xbd07a48f, 0x56a2e4ec, 0x6f9ab63a,
+    0xa18fa386, 0xe388aa91, 0x01888334, 0x2b3349bb, 0x0c6e0796, 0x54d74c32, 0x718edd97, 0x76a47bb2,
+    0x21ad550c, 0xe6acddef, 0x383e2923, 0x3fb8e4cd, 0x10df7a23, 0xb149dd65, 0x274c80f8, 0xbdf7084c,
+    0x551a5142, 0x9be822a1, 0x58a4dbea, 0x25b31425, 0xf9964d84, 0x493753a9, 0x70c3b279, 0x02d3feb2,
+    0xd2c190c3, 0x599485f2, 0x9c037ce0, 0xd090ba24, 0xd36ed95b, 0x164ad914, 0x30f47ac1, 0x911083fd,
+    0x1a77d26a, 0x70d3e1e2, 0xb36c30c6, 0x9a386db9, 0x72f6d038, 0x55f22a95, 0x41eeaa25, 0x39a14ba2,
+    0xe4298108, 0x73ab673e, 0xe6011555, 0x95429eb9, 0xd4498442, 0xbdc2f574, 0x6d37ffe6, 0x5fc2e8e9,
+    0x7aa1d8ba, 0x3404cd1d, 0xecfc762f, 0xb95ede56, 0xc8c1745d, 0xaba191b9, 0x8eecfda7, 0x4573c4d4,
+    0x337e2332, 0x6b5c3d23, 0x4ab5b4f6, 0x06eaa2dc, 0x0c10fb48, 0x1f652001, 0x2c0f2f43, 0x916a8f8b,
+    0xf9d96100, 0xbbb2bced, 0x4e87f78e, 0x254aad43, 0x563760d0, 0x4c630041, 0x16fedba2, 0x898480ae,
+    0xabccfa1f, 0x4e4e4f95, 0x4824c5b3, 0x441eed1a, 0xc03beccb, 0x9328b0e3, 0xd28b3187, 0x60877ad0,
+    0xea203248, 0x178118f4, 0x1fbf3713, 0x125c1b16, 0x6f46f578, 0xb207b59c, 0x820af2b4, 0xbc3a22c8,
+    0xb7179a0d, 0x18619c52, 0xa3219a9a, 0x581a0531, 0x508482cb, 0x9d4fbe1a, 0x95ff3824, 0x96243ac5,
+    0x8b32d60f, 0xf6b2195c, 0x7e5eb130, 0x83ee1cf0, 0xe4620f80, 0xec2424f9, 0xfb23f3ae, 0x704da684,
+    0x52921d90, 0x71046f39, 0xa4efd16f, 0x9df434be, 0xbd9be2d0, 0x744118e9, 0x13043d19, 0x796a3ae3,
+    0x71ed47ea, 0x6bc6a634, 0x6f8cb5b8, 0xbeb8c467, 0xb3d21ed9, 0x0e22d77e, 0x70d55e3c, 0x32bb41d1,
+    0x517f3aee, 0xaa907661, 0xf8744f1c, 0x8cb32ef1, 0x4c441748, 0x75f7de27, 0x423c49a5, 0x87146997,
+    0xde3a2c0b, 0xad4ef266, 0x7cb46a8b, 0xbeb5fac2, 0xdb4aaae7, 0x9a22f201, 0x9ad05c60, 0xf2906be7,
+    0xf5ffd7e3, 0x5050b359, 0x816abda0, 0xc0b7618f, 0xb538dfbf, 0x7bf07d85, 0x6a932502, 0xebbffe35,
+    0xb233667b, 0x493c0e53, 0x1a92a780, 0x1bdff887, 0xc041e03d, 0x11220a43, 0x8b07471a, 0x5e7aeb0b,
+    0x61908cf0, 0x01d87803, 0xb6bfdf9d, 0x6547cf44, 0xfb80aa88, 0x387f4b9c, 0xfb1f8baf, 0xa46496e9,
+    0x3fbe47ef, 0x377e9782, 0x5cd5107e, 0xa4119b45, 0x1ee80987, 0x1eb2ef7f, 0xd214a1f9, 0xa2bf3556,
+    0x00000000,
+    0x729533fb, 0x7b920159, 0x42f5850d, 0x2faad8eb, 0x47ce8f89, 0x43f7a775, 0xe1674199, 0xab2020b9,
+    0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x40000000,
+    0x00000000 }, /* 10**00000000000000029771314147148058236900303171092665727125150133752547749129838\
+                         55843898524112477893944078543723575564536883288499266264815757728270805630976 */
+  { 0x00000000,
+    0x43d87742, 0x5392b1eb, 0xa318a551, 0x2f22066c, 0x45f46842, 0x2d1b562b, 0x7dec0710, 0x5375f2b8,
+    0xadf70653, 0xf88faca1, 0xc1ec0127, 0x79bc3110, 0x71d799c0, 0x8fa11c1d, 0xb386d8bd, 0xae3662dd,
+    0x56f5e35a, 0x354a6e6a, 0x3787f600, 0x9e2e6915, 0x31ff2394, 0x5551bd39, 0x3b45e1c5, 0x1b7d343f,
+    0xb9bb5736, 0x2bd25af9, 0xb1b104bf, 0xb73421d9, 0x7b48ad09, 0x6e6dcaf9, 0x5b2593f5, 0x368f1014,
+    0x19efe982, 0x74c82bc1, 0x6ad6127c, 0x4a4361db, 0x468e5279, 0xf710d0e5, 0xb6945525, 0xc88fe9aa,
+    0x3c6b544b, 0x07233c99, 0x6a7ad6aa, 0xf5ddefdf, 0x68bbefb6, 0xf624d649, 0x6f5376d5, 0x7eb1977e,
+    0xc7272c16, 0xcca2cf40, 0x07f7ccd8, 0x20710763, 0x54621b11, 0xd8e6ebf9, 0x5fa7843d, 0xb44b16c9,
+    0x385e0048, 0x64cf2ceb, 0x59b16d75, 0xe54d7d18, 0xf2bdea4a, 0x5eb467a8, 0xb2ac4c17, 0xd666b096,
+    0xf839a28a, 0xd4db8702, 0x88d63780, 0xa45b813f, 0x80b81928, 0x024586bd, 0xc8646cac, 0x88c5bf2d,
+    0x609b8ab7, 0x5a08812f, 0x0e627205, 0x5916d456, 0x801dcfed, 0x14c5760f, 0xa3ffc3c4, 0x83229a14,
+    0x470fdf46, 0x0b2a8e7c, 0xb6dbd8b8, 0x79a4806b, 0x5795a2f2, 0xe8083b55, 0x961dae9d, 0x5ebe392e,
+    0xc4b05b6d, 0xe89408b3, 0x278a0521, 0xb76ac9ff, 0xd564e0a4, 0x5eead5c1, 0xa235849b, 0xb25044d2,
+    0x66b39b79, 0x12834fac, 0x291dae1c, 0x987e4598, 0x350a3024, 0xb6c97d47, 0x17cd5ed9, 0xbdf57826,
+    0xaa347bc5, 0x5a0b2deb, 0x646b112c, 0x87b55f2f, 0x475cdcb7, 0xbb7cf074, 0xe3ac4e17, 0xe6ebf877,
+    0x0abfc636, 0x56910826, 0xec8a66e0, 0xf1634bf3, 0xad75ff9f, 0xdbd95fb5, 0x4f91f796, 0xbebb8ea5,
+    0x717473cc, 0x7a0e9cd2, 0xb23c2ba3, 0x628ce32b, 0x05860611, 0x8a80dfaf, 0x656b48c1, 0x459b3f9c,
+    0x228fd3f7, 0xb95e8036, 0x118d523b, 0x50c4195a, 0xe0465d20, 0x0ad0293e, 0x4cc45718, 0x31450dc0,
+    0x09f4ab16, 0x2d0902eb, 0xfa3cb6f5, 0x699ea115, 0x2e966df3, 0xbc802126, 0x7b7ee1a5, 0xd02b14d4,
+    0xc3229ce7, 0x5ac70791, 0x1ad5644e, 0x562cd73f, 0xf72a93f8, 0xbe52336d, 0xbb1b000a, 0x64b83274,
+    0x180a5186, 0xe90f2ff7, 0x59559890, 0xbd62d223, 0xca4a9575, 0x058cd15a, 0xa1794154, 0x6a85214f,
+    0x4ff79551, 0xecacda32, 0x408e9625, 0xd6712fb9, 0x43d99164, 0xffc64202, 0xeb1dc155, 0x766e85ef,
+    0x04c01214, 0x70092c05, 0x5edf4eb5, 0xcd833f80, 0xfaab5133, 0x2e4b880c, 0x4dd26c11, 0xc9156129,
+    0xb1ca44a9, 0x6dfd5ffe, 0x35b5e70c, 0xad07316d, 0xd9a2e65d, 0x13e5b124, 0x1d9fe7c9, 0xb3e617ac,
+    0x34852f9b, 0x38f948d0, 0x3e7cd797, 0x25af1eba, 0xee9f3f6e, 0xab8f5e8c, 0xabeb51b0, 0x279fca57,
+    0x4987f8f1, 0x21ac9371, 0x2476143a, 0x7bf02ea7, 0x6095e67c, 0x574eae93, 0x5d065676, 0xfe71a63c,
+    0xd53153ae, 0x761d6306, 0xa73c8a02, 0xce85ef92, 0x862c57dc, 0xfab2a0bc, 0xa38a4712, 0x133ac78f,
+    0x9ee57abe, 0x7a4705da, 0xaafb5968, 0xcccfaace, 0xe8e15d4e, 0xb417c7bb, 0x3fb47092, 0xcb85075f,
+    0xb2965def, 0x90eb3e5f, 0x085b1721, 0xf1d7c1d5, 0x8f95a883, 0xf6008c7f, 0x5151efcf, 0x96012adc,
+    0x4066cee5, 0xc93f259f, 0x317d7a98, 0x36db9fa0, 0xf428c2d5, 0x9d94e251, 0x712191aa, 0xffc9dcce,
+    0x8c3696aa, 0x6c47f888, 0x50d21478, 0x23c39d60, 0x844f4216, 0xc176a05e, 0xc64811b5, 0x81cee626,
+    0xe61a0a9d, 0xcd5e5130, 0x2d73dde3, 0xd9804ed7, 0xbfa5c4cc, 0xe504cfdc, 0x3650fb0a, 0x9733ed42,
+    0x2971b06e, 0x736c2f4e, 0x84562bc8, 0x60f9ba8f, 0x37d294f6, 0x1ad166fe, 0xdf930b78, 0x3d3a2b16,
+    0xb5cd7242, 0x14fa0856, 0xff13e7e3, 0x310b1fe9, 0x30cd1b2d, 0x80ea13c5, 0xa623e6cf, 0xe2fe1e97,
+    0xbc3b47d2, 0x02f446b0, 0x28a74305, 0x514ae35c, 0xdfc85214, 0x249209b4, 0x4c36b025, 0x3eac3ff0,
+    0x10b6505e, 0x2c476e17, 0xcfdfab0c, 0x7fb84435, 0xd87d2200, 0xcaea891b, 0xdc03f0fb, 0x04ea836d,
+    0xa6fa8983, 0x5f3db885, 0x6647feb7, 0x53d1a586, 0xafc72c86, 0x8dcf8e06, 0x4f43eed8, 0x2dc2b9ef,
+    0xa6c67941, 0x778746c4, 0x7697fd7d, 0x95bbf77b, 0x98e463e3, 0xaedc74f6, 0xfafc5607, 0x4b55ee15,
+    0x01c2a2ec, 0xb1cc2283, 0x519f41e9, 0x94f8dcbc, 0x94b53834, 0xc17c0508, 0xbac4392e, 0xb7819291,
+    0x1216d0ca, 0x674f3ea6, 0x997267dc, 0x31497d6d, 0x2b9d6f37, 0x357c64b9, 0x3a1563d5, 0x024efb28,
+    0x504244f2, 0x585fd41a, 0x09fba150, 0xa226f887, 0x10d500f2, 0xdc7df1c7, 0x5941eca7, 0x8ef58f28,
+    0xf002bfb5, 0x1a4ae484, 0x8accda95, 0xaf8148ab, 0xba101a7c, 0x090f8a50, 0x72079f99, 0x7b4a449a,
+    0x6a1c86f1, 0xd2e0171e, 0x92140824, 0x09beef14, 0xabbc3c66, 0x84f2f5d5, 0xad5f5673, 0x6fe4cb2e,
+    0x0d41ac1e, 0x6203fc0e, 0x63bb64c2, 0x4f8976fe, 0xbc61809a, 0xf639cacb, 0x8a19320b, 0x508937c0,
+    0xe8db9d96, 0xd57ab08f, 0xbd8e6886, 0x39acaec3, 0x9d2d3dbb, 0x22a63bb9, 0x9b0508a7, 0x4da2e7be,
+    0xc8415254, 0x7a62e080, 0x4f0ac765, 0x3e689ff2, 0x3a6c191c, 0xce905f63, 0x11d93edc, 0xea22f8e3,
+    0xf822791b, 0x402fd7d2, 0xb05fe919, 0x1c5c89e7, 0x8f6869fb, 0xf5008fac, 0xf0aad48c, 0x629c54e1,
+    0x2b950bf3, 0x3759eb18, 0x34fea9e9, 0xb44a0ca3, 0x939ea393, 0x20eba740, 0xaac1f8c9, 0x8de4a40e,
+    0x26269546, 0x77ffeb85, 0x4293a7a8, 0xaa91c67f, 0xa3c376d1, 0x52f18629, 0xbbeb4d7c, 0x28dabadc,
+    0xf944e090, 0x5796c44b, 0xe2bae61a, 0x9b4b20a9, 0xfe60087d, 0x73e73bcd, 0x8ef0ae0c, 0x82abef43,
+    0x84e7018c, 0x36de7852, 0xf235b379, 0x9a486eaf, 0xaa679b48, 0x58a68d73, 0xd931f07d, 0xe9a4ae9d,
+    0x10d46e46, 0x419125d4, 0x05bf09c3, 0xbd5b6cf6, 0x4e6160fd, 0x079afbf9, 0x47ce9340, 0x575d92c5,
+    0x3733d8e5, 0x9bdbd963, 0xf0973265, 0x89fb9f6e, 0xd47a9bc1, 0xe83d2b06, 0x4a43672a, 0xace35e9a,
+    0x8926dfbc, 0x67dd073b, 0xf1cca38b, 0x2effe4bf, 0x28625b65, 0x6544e91e, 0xf5d8fa82, 0xb876e1cb,
+    0xb2c03125, 0x8c5364c5, 0xa2832ab3, 0xd2dd4dad, 0xa7412934, 0xad4e117d, 0xd2ea0017, 0x4a865e87,
+    0xe5152953, 0xf3258e3e, 0x69abb2ce, 0x4c86bd20, 0xccd48652, 0xa7bcfc4d, 0x2287f9ba, 0x4e728b20,
+    0x3fb69301, 0xbb8c0824, 0x49b21c4b, 0xf6d6bc4b, 0xe9febf6c, 0xef51c488, 0x821d7db2, 0x611dadbd,
+    0xf0143c82, 0xd9ab117a, 0x4b62c5f4, 0x7cb72766, 0xc301494d, 0x435477a0, 0x891bdb03, 0xb70b9541,
+    0xfb28cbee, 0xa58757ff, 0x6d97b5d0, 0xafdde273, 0x92cae47c, 0x05efa138, 0x9b1870b2, 0x7b64aa33,
+    0xb643400d, 0x12826ca4, 0xbb48af59, 0xed42fadd, 0x3122c7e0, 0x00bbc2c0, 0xe01fa3fd, 0x2b723eb7,
+    0xeae1d817, 0x829a863c, 0x7cfa1606, 0x84a77393, 0x78ae9180, 0x3f474c79, 0x62b12210, 0xb85797fe,
+    0x25c2905d, 0x0b37809c, 0x1e03a64a, 0xecd67d79, 0x8deee7aa, 0x0882ac37, 0x55c211db, 0xb7a3f1c1,
+    0xca987d47, 0x851b2677, 0x1e631b00, 0x1231b699, 0x53f76a97, 0xff7ca169, 0x1415cdcc, 0x6bfc3832,
+    0xd771a530, 0x6bdc3129, 0xf91c5441, 0x6db2b25d, 0x4602eb64, 0x8586f948, 0x1dd11503, 0x28b3e9e9,
+    0x030dd6c5, 0x968cc230, 0x916b6e00, 0xbcbe2f36, 0x56814ca8, 0xe64714d3, 0x62ea948f, 0x3eaeefe8,
+    0xbfc5fd39, 0xbe8dc719, 0x7717c1f9, 0x2967d9ae, 0x64a5a614, 0x4af44aba, 0xc542811b, 0xa72fe497,
+    0x4d19cc2d, 0x76994f8c, 0x92a6e9a3, 0x4df31464, 0x6b128809, 0x60e515cc, 0xc18072de, 0xe6e23e28,
+    0xfa0a86af, 0x367ade91, 0xa3aa56f7, 0x31b4cf01, 0xc0abc155, 0xef49fc92, 0x1189bc0b, 0xca258703,
+    0x7a75e953, 0xaf01b078, 0xb5619030, 0x5b567517, 0xbb823066, 0x3c776095, 0x9b3e823b, 0x0a9f18f3,
+    0xc7b190ac, 0x2ba0ef87, 0x9061e1b3, 0xd1ac6156, 0x89a84d93, 0x8d9ea200, 0x1075dcd0, 0xc0f18c68,
+    0x1ccc21a1, 0x8d938c77, 0x6c61b746, 0xba20d7b7, 0xd21f81b2, 0x1f61bdd7, 0xf8186a7c, 0x097873ff,
+    0xd31cef0a, 0xde09bf34, 0x0c6d950d, 0x423cce69, 0x5583e20a, 0x9f7ac552, 0xf237752b, 0x3e7025bb,
+    0x5293c136, 0xde9cd726, 0xb7f5f69e, 0x295ccb5d, 0x78571180, 0x068f405c, 0x2a2a7b10, 0x414de509,
+    0xf5ffbde2, 0x24d0ac42, 0x5170adb5, 0x0f05fd28, 0x075a4a53, 0xb3a534f0, 0x88c89f35, 0x2d01d51b,
+    0x78e7301c, 0x6f6c8932, 0xa740b24a, 0x388b7f9f, 0xa27e8bde, 0xd25ab598, 0x8342e2f0, 0xefaa2f52,
+    0x6367f7a3, 0x3ee3bf45, 0x627dcef9, 0xd674b0f4, 0x7b2f31c2, 0x7296c5bc, 0x99e42204, 0xbc9ec204,
+    0xe8156ce9, 0x4b79528c, 0xc7eb842a, 0x6565a349, 0x1a8b81dd, 0xd48b08ea, 0xe341b23e, 0x59cd993c,
+    0x327cd689, 0xdfb3a632, 0x5e89327d, 0x6dac2e71, 0xa84c6de6, 0xd897ae61, 0xb59bb52b, 0xa4a3e5c9,
+    0x8041165e, 0xf2e07018, 0x420848eb, 0xf31dc1cf, 0x3ef5f723, 0x51950911, 0x35496260, 0xd1fa10e5,
+    0x83661bf4, 0xe94cd112, 0xf79bb19e, 0xa2cfbd82, 0xe0dd3ca8, 0x0eb38355, 0x69af6f98, 0x436b713c,
+    0xa26d2601, 0x5fded58a, 0xa63b8df0, 0xb23ae01b, 0x0efd4879, 0xe57abe8a, 0x6280ac8e, 0xf75300e9,
+    0xcefa6925, 0x75efd553, 0xd1bb894e, 0xe57c5ff9, 0x1f24e29e, 0x86eaf57a, 0x101190f2, 0x60e34077,
+    0x593a4a99, 0x75c68001, 0x22dcaf12, 0x75f2be7f, 0x3f789c34, 0xa2e17df1, 0xf26c0353, 0x6dec7d1b,
+    0x4f4bd31c, 0x41406d83, 0x7971e641, 0xbb89b36e, 0x0203f13b, 0xd8d91f99, 0x9f1677cd, 0xbbc096cc,
+    0x4ec7d1fc, 0x9e2c062e, 0x662f3805, 0x040213c7, 0xd61abb54, 0xa61fbc70, 0xd7543087, 0x659e1aed,
+    0xae6f3a35, 0xd99dd62e, 0xae357839, 0x0a63ee51, 0x71bacff3, 0x2620914b, 0xb9148c46, 0x482e6366,
+    0xb1017631, 0xe990e578, 0x73112919, 0x8fdaaba2, 0xf928ce92, 0xb62a7f7b, 0xd2528d76, 0x69fb8493,
+    0x4546cae8, 0xc28c7215, 0x20d6d993, 0x077ab655, 0x9343408c, 0x12276296, 0x8e5d9e4b, 0x78a53635,
+    0xdd4d2bc1, 0x1839ccbe, 0x598b46b7, 0x241fa8e1, 0xd932085a, 0x1f368d66, 0x0386cdf9, 0xaac05580,
+    0xb931da3c, 0xa93010ac, 0x724e5c89, 0x6cbd4cd7, 0x711fcdb9, 0x05460c37, 0x9046c3d9, 0xce850db7,
+    0x3c25cbd5, 0xe1cc24ba, 0x0477716a, 0x1729834d, 0x71198bf3, 0x9c52dc5d, 0x6727e525, 0xab25938b,
+    0x1f36346e, 0x050a73d0, 0x5f452f06, 0xe2f5ed4f, 0x0623f71e, 0x3425cb60, 0x6102bedc, 0xc2dcb218,
+    0xd76faad2, 0xc976f4e0, 0x3b643d71, 0x43fef2d2, 0x28306e7a, 0x46442c40, 0x0568b7be, 0x63b36c5e,
+    0xb433a33e, 0x416771a3, 0x6474f4fa, 0xf499178b, 0xaf04d1fe, 0xb1e30c67, 0xa9e64e0b, 0xcfea8d15,
+    0xe30fc888, 0x184bf11d, 0x7e74cf69, 0x6117d47c, 0xd1415419, 0x54830b0e, 0x6483fc34, 0xeb3e3f4b,
+    0xee2b5cb3, 0x20fc3fd4, 0x53f6fd37, 0x43fe4ff3, 0x79351dde, 0x3cf353af, 0xd318f0db, 0x4e9daeea,
+    0xbf13ec61, 0x8eed0900, 0xc5d5bc78, 0xd751470b, 0x501b29c3, 0x4f13267d, 0xcb7c3823, 0x90193310,
+    0xe74427bf, 0x3dbb9e32, 0x04009943, 0xdc973d70, 0xdd096c41, 0x5aff5c74, 0xedae5fd8, 0x23a64407,
+    0x303df50d, 0xdbf2c415, 0x6785976e, 0x59342738, 0xd3a9b02a, 0xcee453f0, 0x19a55ebd, 0xef722bf3,
+    0xcace862d, 0x372d3ed2, 0xca045124, 0x8f864b21, 0x4803005a, 0x43ecdb4a, 0xb8dbc74c, 0xf5b03186,
+    0xfac09fd9, 0x8d9b66fe, 0x91245e5c, 0x80a9eff4, 0x5fe9c7ce, 0x2203d804, 0x81c32a16, 0x673a521d,
+    0xb10debf3, 0x213744e6, 0x426a26db, 0x96f56070, 0x578764e8, 0xbff6fd17, 0xfdbdbb83, 0xa6ddb360,
+    0xff13fc65, 0x35cd2aa1, 0x7100c77f, 0x979c4472, 0xbbd81531, 0x98799597, 0xc5917d53, 0x56799102,
+    0x043398d0, 0x6cc322ca, 0xb0e435e7, 0x2b66f5ef, 0x99472c06, 0xedf56285, 0x4596e73a, 0xc683c1fd,
+    0x273783db, 0x6d4c132c, 0x9b3e2599, 0xd4e86947, 0x0c547070, 0xdd45fd10, 0xfb19090e, 0x9373f840,
+    0x7f00c97e, 0xc7ee25f4, 0x1c7cc344, 0xa3b2208e, 0x3f3505c3, 0xeb2ad3ef, 0x21c0122c, 0x57c8d635,
+    0xc11755ba, 0xbe5e685f, 0xe9f8e2ef, 0xab766146, 0x6e305e54, 0xa3c5f096, 0x637ec00a, 0x9f2af1ee,
+    0xb1932fcd, 0xe4e28a63, 0x06b77fd5, 0x22e985d4, 0x289816aa, 0x1ab8d8b7, 0x716b4077, 0x80b7cfe9,
+    0x4774e3d6, 0x74964155, 0xb332d72e, 0x69f9af22, 0xa82a59dd, 0x74c72aee, 0xb9f3b06d, 0x1a6beb7e,
+    0x7993de58, 0xc008b194, 0x1d5caea1, 0x6754aefb, 0x72e180dc, 0x207f936d, 0xeb2ba76a, 0x9ae78f7c,
+    0x0ff54bae, 0x1599d509, 0x9cbe40c1, 0x6dc8fe30, 0xf267a799, 0x34042521, 0x61f02e19, 0xaed48cfd,
+    0x05f21949, 0x1da39b3c, 0xbf6b4d72, 0x3e79b35e, 0x5ab1ffb2, 0x9ee8f460, 0xaf657a2d, 0x16ce8240,
+    0x7e7c0c9e, 0xffa4f9c3, 0x84b7d36e, 0x300ce953, 0x3513b9d7, 0x1812f7d9, 0x1e5f823e, 0x669629b0,
+    0xe63a541b, 0x5db79416, 0x63438696, 0x0eeb1496, 0x11fd6f01, 0x59bc2b7c, 0x186f1177, 0x3b74eeca,
+    0x3308ef4d, 0x5f89214a, 0xece7a3b3, 0xa86d52ba, 0xc3b75af9, 0x6b2aac6a, 0xf65e650b, 0x53f1c0ed,
+    0x2c5a79a4, 0x8212740b, 0x5a1dab71, 0x2239d07d, 0x96442930, 0x0dd69f98, 0x15aa9431, 0x4ba09ab7,
+    0x94823d9a, 0x42799503, 0x23d6c1b0, 0x3e43cd8d, 0xea174cec, 0xb9743fc1, 0x41fc809f, 0xe97a31ae,
+    0x53e11b35, 0x246d2034, 0x5b75e659, 0x65034268, 0xf7bba054, 0x540c82fc, 0x22a996d5, 0xa742e344,
+    0x6e464c98, 0x2387062f, 0x637463e0, 0x6c13efac, 0x54a96719, 0xacc34c73, 0x947960ca, 0xd677db4c,
+    0xf3779298, 0x060eb125, 0x9936da67, 0x3d285616, 0xd510a5df, 0xccbc384e, 0x30cb1a51, 0x0e9bd3b9,
+    0xe27dc42b, 0xa51f4355, 0x95540de8, 0x316ca1d0, 0xbc3addc4, 0xf5376233, 0x6afbbceb, 0xf59bbdc3,
+    0x04c3f383, 0x3d0a20fa, 0x04fd6a01, 0xcf34aa1d, 0x43477801, 0xcd9c909c, 0x63b287b4, 0x9bb73a44,
+    0x490445af, 0x4356517a, 0x36327785, 0xc1240b1b, 0x11d0ee64, 0x4c61ae29, 0x6907d95b, 0x822436b7,
+    0xa0f302dc, 0xa0cca9ac, 0x3f463cae, 0x08dc95c9, 0xdf7cb778, 0x1f16f65f, 0x87e69d04, 0x65693665,
+    0x9164523e, 0x3035b0c1, 0x7aa1d72c, 0xbb19a69c, 0x9ed05263, 0x1ac3a465, 0x6c0dc928, 0xe4d9934a,
+    0x1407bf43, 0x4607079e, 0x2cfc6788, 0x1402a2eb, 0xac0a4e86, 0x76d0fee3, 0x5794f731, 0xd0e5a804,
+    0xdb838452, 0x1daf32e8, 0x426cc9f8, 0x358dcc0b, 0xd8815815, 0x36886ff8, 0x5c985768, 0x9054e23e,
+    0x00000000,
+    0xb94a99fd, 0xbdc900ac, 0xa17ac286, 0x97d56c75, 0xa3e747c4, 0xa1fbd3ba, 0xf0b3a0cc, 0xd590105c,
+    0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x40000000,
+    0x00000000 }, /* 10**00000000000000014885657073574029118450151585546332863562575066876273874564919\
+                         27921949262056238946972039271861787782268441644249633132407878864135402815488 */
+  { 0x00000000,
+    0x962563bd, 0xb5dddb9c, 0xd938e9dd, 0x990b99fa, 0x925197b6, 0x79f97bdb, 0xf58131bf, 0x341888b0,
+    0x6bc688f0, 0xefe33d2e, 0x8a2eb114, 0xc8b03401, 0x4e3cbfa0, 0x8a4cd164, 0xdc88e3de, 0x777a63c1,
+    0xc4075872, 0x26ea40e3, 0x6c2fe397, 0x30de8141, 0x45b28bcd, 0xb541e1b4, 0xf43de0e2, 0x952c04ed,
+    0xd2e6ea30, 0xbb025ae4, 0x167eb7d0, 0x26ff8e89, 0x211300d8, 0x05df0826, 0x7400a734, 0xfd3dd206,
+    0x5f8d5f75, 0xa4c5715b, 0xda713e13, 0x3e46cda8, 0x138c5ca3, 0x1180599b, 0xa429b6f2, 0x0adf01bd,
+    0x48bf0956, 0x5465664c, 0xbf8fee88, 0x618d9978, 0x6fddcca5, 0x7db21311, 0x8821a1d0, 0x6de8b5b7,
+    0xff6e78b0, 0xb3c6f9c1, 0x0578bece, 0x1a0fa313, 0x5f86355f, 0x0231f470, 0xa485edf8, 0xb1861852,
+    0xb799ff05, 0xdd796be6, 0x4d218c3a, 0x54bbedf3, 0xd3bc8ca0, 0x7e528d0b, 0xe921997d, 0xa9f2f039,
+    0x6a45490e, 0xd8d45485, 0xc027daa5, 0x71ab2331, 0xad42ef76, 0xce9ce185, 0xa3412016, 0x725a3bc8,
+    0x4433ec64, 0x8b731ac6, 0xc5d1c578, 0x771abe8a, 0x0975fbcb, 0x51fbe38a, 0x721d75f5, 0xb84065cc,
+    0xbf7c3cbd, 0x679d3b32, 0x2c4db6b4, 0xa0e75eec, 0x157b7fd8, 0x7dfb7236, 0x0360ae3d, 0x9a41d224,
+    0x00a610f4, 0x92922d7a, 0xaa123fa5, 0xd45a7a23, 0xde075689, 0xccac9d94, 0xf191a3fd, 0x2dda4f5f,
+    0xae76ab02, 0xbcfe0f56, 0xfe157739, 0xfe8b5f7a, 0x18bbe5ba, 0x7aae3014, 0x4724088b, 0x9ca0f603,
+    0x82ba9292, 0x81822dd3, 0x2ca85e6e, 0x6c4f7f11, 0xd0805fec, 0x12676759, 0x79e784e9, 0xd527b209,
+    0xfcdd34d7, 0x552ce506, 0x7c29f333, 0xc196f454, 0x87c09626, 0x8e3fa10e, 0xb161b2ae, 0x23e3d6d6,
+    0x6c8db718, 0x2ddb0c0c, 0x0de12ba6, 0xeebc143d, 0x7213dcf0, 0xfc1e5ef5, 0x624a7854, 0xe3d52611,
+    0xcbcf74c1, 0x9a8237f6, 0x9ff3bcd8, 0x760dc78c, 0x34918e62, 0x723bcc08, 0x9c7a44fd, 0x9ef716b4,
+    0x0121f05e, 0xa97c674f, 0x28362755, 0xb7420fbf, 0xa71af7e2, 0x64c87e17, 0x2390a268, 0x983f7783,
+    0x0a68988e, 0x3840d81e, 0xd45dd32c, 0xd90d58e3, 0xa141f899, 0x8962f921, 0x0b415657, 0x8d810eb6,
+    0x757eb9c3, 0x74895eca, 0xcaf0a20d, 0x892ed5dd, 0x0dc3020e, 0xe242c445, 0x5ee93910, 0xb023a8bc,
+    0x8070dc20, 0xefbbc809, 0x5e6cccf0, 0xc7191cd3, 0x6399c643, 0xb631cf00, 0x301f57a0, 0xcb075672,
+    0xe1c71162, 0x1fb56f46, 0x16557d05, 0x30239b66, 0x0720f244, 0xe55d9f4a, 0x35df4b25, 0x62ebdf14,
+    0xc00aff0f, 0x2386cadb, 0xfdf642c5, 0x9bad298d, 0xce636d3e, 0xff8df649, 0x376cb3d4, 0x6375df97,
+    0xf9918c8b, 0xe2e9d4e1, 0x6a8928d7, 0xf0e3401e, 0xb0960833, 0x74f97e71, 0x672ba623, 0x940a7042,
+    0x720fcf91, 0x30b515fd, 0x4bec5af0, 0x8f279e63, 0x535ce1f0, 0xb89a70e5, 0x5fc2c1b9, 0x84ebc21c,
+    0xc973e8fa, 0x18032847, 0x2ba2a9e0, 0x165f269f, 0xd684d009, 0xc1fccd37, 0x0f9c6d50, 0x5a669831,
+    0xdd778845, 0x76345bdc, 0xbf984467, 0xadb88fd4, 0xcaae9bd1, 0x1bce074f, 0x6441243e, 0xeca20d14,
+    0x54a2fe87, 0x4e9b021e, 0x329276aa, 0xc1fee025, 0xde8f992b, 0xb89d5134, 0xe4df1154, 0x91c4c1da,
+    0x316e7ec1, 0xe926e5d9, 0x93e2f654, 0x78c028a0, 0x2553b309, 0xcbc5f7ad, 0x30220fe8, 0x04f58ea2,
+    0x5ca212c8, 0x1d0b37d6, 0x4dbc4532, 0xa0056e3d, 0xb57c0022, 0x5a4bd355, 0xfe72edd4, 0xdc6ea967,
+    0xc3163fc5, 0x4eb0f2e6, 0x1d08fd47, 0x9e5d8356, 0x42c5291f, 0x412013cb, 0xe1b2a7c5, 0xdcd326f2,
+    0x96d72181, 0x47956e29, 0x25fe097e, 0xe4dd421d, 0x8d791e22, 0xdaf9c7e3, 0x071b4528, 0x06a8063e,
+    0x7c3d4d18, 0xc65fc761, 0x5e2aff1d, 0xd8807ff6, 0x620a28a7, 0x88947834, 0xbe09bd25, 0xeebae29c,
+    0x433e1244, 0x2733d40f, 0xc148f352, 0xbc7bb401, 0x9e24ca75, 0x8d44beb3, 0xb93aa8d6, 0x784377bc,
+    0x6af57f10, 0x7212b7f3, 0x98d455da, 0x223774b8, 0xd2c4d1d6, 0x945de43d, 0x41d4d55a, 0x6f87f6c9,
+    0x7eeb2ee4, 0x870b92e5, 0xfca13659, 0x0b261bad, 0xc835d7e4, 0x1493266f, 0x5236676f, 0xdf583124,
+    0xe826d2b9, 0x527e3178, 0x534361e8, 0x10ef9c72, 0xb6f08d6a, 0x83cf35e0, 0xb76608d2, 0x3d4287bb,
+    0x77d50674, 0xb440ded1, 0x341281dd, 0xecec45c9, 0xd2a27dc2, 0x2e547571, 0xb5f089fd, 0xc5798adc,
+    0xc5f99ccd, 0x5db65698, 0x2381e5ee, 0x61f2e8ab, 0xb3223570, 0x182d37c0, 0x4bbe6652, 0xb01d8348,
+    0x60992f7e, 0xf8a11240, 0x22445ad3, 0x01e7c9e4, 0x4ee3eae5, 0x7059e341, 0x778a762f, 0xc72c5088,
+    0x6beceee7, 0x66e1859a, 0x3d929634, 0x24c7d692, 0xd3bfa5d4, 0xf2deb507, 0xc1e790fb, 0x13e2c6a5,
+    0x88cd9710, 0x1f28a176, 0x97445982, 0xd0e0a1d5, 0xec106edb, 0xafe88c67, 0x41aa327d, 0xf3b0e307,
+    0xb5391978, 0xd1f9e8c3, 0x6e93bdc3, 0x1f935444, 0xd8edee59, 0x7b89e211, 0xe565ecdf, 0x9547453d,
+    0x4867bab4, 0x84ac3edc, 0xdca141e3, 0x361a64df, 0xd05f5962, 0x0cdad331, 0x99eeacc4, 0x5ce14516,
+    0x766f9558, 0x4713772c, 0xc79b7e8a, 0x50a34471, 0x2b229934, 0xbb7ae6b4, 0x600b4512, 0x8188393f,
+    0x6c36ad5e, 0x8bc1f037, 0x3484a21b, 0x914b1095, 0x371a14a0, 0x9e69b156, 0xf266eff9, 0xaedf99a2,
+    0x4ee3901a, 0xdfb3e8df, 0x062881ac, 0x9b3d99e3, 0x80b9888b, 0xd650b498, 0x14b9ae2b, 0x022df6a1,
+    0x634436a6, 0x7c53bc46, 0x84417886, 0x36206b17, 0x011983c9, 0xa757a449, 0x5a7daadc, 0x39165ef7,
+    0xcb222a75, 0x60659e2d, 0x6ee46e3d, 0x795a5387, 0x412712e8, 0x8218b301, 0x33a66778, 0x4d7bcaf2,
+    0x9c023a20, 0x03699a4e, 0x1e85481c, 0x2f432562, 0x4cbd3999, 0x828570ca, 0xa37c1100, 0xe59b1c79,
+    0x7204fd67, 0x20d38e93, 0x25495f89, 0x99cbc657, 0x403e548f, 0x23fb1c9c, 0x9b41ec05, 0x374ea277,
+    0x8dce8403, 0xffc9356b, 0xfb9eb5f7, 0x0419f59a, 0xe047a511, 0xa1db48d0, 0xb6982ec7, 0x67c0ab57,
+    0x9b79c53d, 0x2685a4c3, 0xbd9c7866, 0xbd7ee2bf, 0xd0340c59, 0x8ca6316e, 0x3847298b, 0x60adfb86,
+    0xd4dc1f97, 0x80f4e329, 0xb4bbaccf, 0xaeb5267d, 0x82392ac8, 0x651cdacc, 0xa401e670, 0x001c3a06,
+    0x431e8f8d, 0x45e97598, 0x6a49b754, 0x1c05e16e, 0xfd522a0b, 0x725d5019, 0xd7cdb745, 0xea3a797a,
+    0xe983445b, 0xa443da26, 0xbd36cf44, 0x8cb2812c, 0xf002b4b7, 0xfb5a5079, 0x2971771e, 0x9f3cd972,
+    0x7e659971, 0x829593fe, 0x149aaec3, 0x37a6565c, 0xf3ceacdf, 0x7e3be348, 0x52caf00d, 0x13b32e83,
+    0x83939e99, 0xeb399292, 0x0b155410, 0x808da4de, 0x110304d8, 0x1ddbfd5d, 0xb017d0cc, 0xc6d7db6f,
+    0xabca3273, 0x20ce0919, 0xa0c83acd, 0x0b1e4719, 0x3e5833c0, 0xecd1f86e, 0x5cfd0bae, 0x08c54c0a,
+    0x53caf332, 0x4287e9c8, 0x29433914, 0x1a028c59, 0xab7c85bf, 0xb2af1cf6, 0x069678fe, 0x974ea5ad,
+    0xb9513408, 0xf5d15d8b, 0x8b2ec2da, 0x9a0aea6d, 0xc5729797, 0x20cf6b8f, 0x789ee205, 0x5d298e87,
+    0x1b3aebb8, 0xf0c88333, 0x2c3122cf, 0xbd3584e2, 0x1f316b28, 0xe63fc360, 0xf8b88529, 0x34285a90,
+    0x3ce19263, 0xf44c61b7, 0xf117c792, 0x8a6a06bb, 0x4a4cc23c, 0x59a731aa, 0xb402d10c, 0x67f68c62,
+    0x39bbc313, 0x139c40d9, 0xbd4f964f, 0xab811312, 0x221b736c, 0x175f0778, 0xaa632d7d, 0xe7608d94,
+    0x83233bc2, 0x50cefb75, 0x27bc60ca, 0xf3d5ee15, 0x5edb05b2, 0xc40b3078, 0xf044d689, 0x851e66d4,
+    0xa1537558, 0x904c2cdb, 0xe63dbdb0, 0x741e3e68, 0xc7fd1936, 0x612398a2, 0xdb187f76, 0xa9180ee8,
+    0xff373402, 0x9fa6452b, 0xb5615618, 0x074858a8, 0x017a9ef7, 0xa082fed6, 0x72fa90c6, 0xe02648b4,
+    0x93d05e6f, 0x98e758f7, 0x2d2cffe8, 0xe845ce0b, 0x3aad9961, 0xf5a5e1cd, 0x9d59cc11, 0x53f7b7b1,
+    0xcd9e5d80, 0xfadcb400, 0x9a62793b, 0xcbb8711f, 0x665438bf, 0x4b985f22, 0x582ada44, 0x50dba160,
+    0x9cd885cb, 0x6bb0c48a, 0x43a1f066, 0x594f6a4d, 0x9fed8f5d, 0x44c4fe29, 0xff666d34, 0x6e518745,
+    0x144bc133, 0x4bae4616, 0xda793e93, 0x422e1cff, 0x1a3de25e, 0x50d0ef04, 0x83da02b5, 0xa3c09658,
+    0xcba1a2c5, 0x33d5e5ea, 0x1ecc464b, 0xd4fc6a2e, 0xe0f07de8, 0xb73cf122, 0x7aec812d, 0x276b0daa,
+    0xdbca4e49, 0x3bb28da3, 0x7067dde1, 0xede31817, 0x4dc369d1, 0xdc86b325, 0x7d29df73, 0x2cbaea29,
+    0x19b17e42, 0xdfb0eed5, 0xf43e539c, 0x1f82c19e, 0xea2a5369, 0xa7a98e80, 0x2bf9e4d0, 0x84b4b7d2,
+    0x9328bcf9, 0x7d419d26, 0x6905b70a, 0x35575a92, 0xa82400d5, 0x52fb4c0e, 0x7c915020, 0xcd5d3e52,
+    0xb12b12f5, 0x3f7d010d, 0x28268385, 0x212808a8, 0x1e3c64d9, 0x1d40f756, 0xcea56a1d, 0x7c48b5b6,
+    0x2e2b8c58, 0xd4d46937, 0xd2c6cbda, 0xf95d121b, 0x96bb98e0, 0x3f747936, 0xa63fd706, 0x595dfd92,
+    0x452599a1, 0x37ad7faf, 0xdf1ad2d0, 0x651f9f55, 0x5004cbbd, 0x5af08da6, 0xef112471, 0xf1788d7c,
+    0x8368cdf5, 0xe610d8ed, 0x659ad5a7, 0x0d5cc82f, 0x42717a9e, 0x4a3196e7, 0x5977891a, 0xe7ccd921,
+    0x556bbc24, 0xc655a38c, 0xe7393ee4, 0x0139ad98, 0x3a312b04, 0xe40696db, 0x53819b88, 0xe2bcfd5f,
+    0x08f8c56b, 0x5f0a12e3, 0xe1436463, 0x033a481f, 0xf05817b4, 0x06e8d2ce, 0x70b60c71, 0xec2c216f,
+    0x6e128cf0, 0xc827073c, 0x1a47ca79, 0xab9b9ba1, 0x6b213762, 0x475262f6, 0x5861608a, 0x7053b0fd,
+    0xee155653, 0x3762ed5f, 0x44fa2b35, 0x721a6722, 0x1484e2b0, 0x168cbfaa, 0xf5e43fa8, 0x035168a7,
+    0xc28db171, 0xd3c39b90, 0x071d568f, 0x76369bd4, 0x5aca6777, 0xf634ae15, 0xbe20835b, 0xfab5d89f,
+    0x19bcf3e5, 0x90fb139c, 0x9ca3d349, 0xcf0ad761, 0xb0d9c042, 0x578c1de5, 0x4b5507df, 0x4f1f0467,
+    0x4848aa59, 0xb115f9da, 0x234fc470, 0x51ea07a1, 0xcb5b4fc8, 0x7d8d61f3, 0x461698ff, 0x505f7964,
+    0x2bd201b1, 0x1f74a51f, 0x9676a41f, 0x36c89c31, 0x92231894, 0x652864ac, 0x4de2e763, 0xe5a117d7,
+    0xd3e96171, 0x850a8694, 0x77ea2ddb, 0x4864f1c8, 0x8b6f48b6, 0xadfc5b86, 0xd16958e7, 0x5245eb60,
+    0x30133ee4, 0x0b033942, 0x7d55256d, 0x090efe49, 0x32c80d36, 0x46f8c040, 0xaf82731f, 0xfc990a45,
+    0xcccfb866, 0xadf8e225, 0x75981f8d, 0x1d197666, 0xdd640632, 0x738d03e6, 0x6fbbffc3, 0x2b8a0df1,
+    0x6a057e27, 0x441f63d3, 0xba158e29, 0xd5bdb201, 0x0d6641e2, 0x3e82e8ba, 0x8747e0b0, 0x4ca7044b,
+    0xb77bb7d3, 0xcd25cce6, 0xf3af6d08, 0x6ffff90d, 0x6c4f773c, 0x65132f6f, 0x18f55f04, 0xa9d30b54,
+    0xf387c20e, 0x5a65fcb7, 0x79407a29, 0xc9cb6b25, 0x18e5387a, 0xa7f59008, 0x6357bd4e, 0xc40b3017,
+    0x578a8961, 0xf4be3faa, 0xb0d58df0, 0x967a5301, 0x49ead95c, 0xf7b18495, 0x9b452917, 0x4bfbc46a,
+    0xdaaf60e0, 0x0bb63af1, 0x204b28b3, 0xc4e2bfac, 0xd56c494e, 0x9fb89616, 0xd00d6590, 0x47ad427c,
+    0xb713ff47, 0x07d7d294, 0xf56e9bae, 0x9bb41d6c, 0x0a6a5240, 0xba64cdb9, 0x35d5d65c, 0xfa0597ac,
+    0xef18985a, 0x1626a8f8, 0x5349512c, 0xf97b9775, 0x413c24f1, 0xd4a0f1c6, 0x2eba2d78, 0xda7d07da,
+    0x46240fb6, 0x473cea20, 0xc5377580, 0x86292b4e, 0x8c8b22c9, 0x6383b102, 0x2d80ad70, 0xff25b7e4,
+    0x7a1fa2ca, 0x3abc0596, 0x7cb7869f, 0xe2cbc82d, 0xb06b7daa, 0x0a7e69ef, 0x5af26a65, 0xeb7b34e9,
+    0x77b34483, 0x237da31b, 0xe76eba67, 0xaad4ba4a, 0xffd1fe07, 0xc9e3445d, 0x3919dc70, 0xdfc63412,
+    0xa1a07317, 0x853e221b, 0x9f24d6f8, 0x75c489f3, 0x93951537, 0x162815ac, 0x3af31c2f, 0x3ac93879,
+    0x13059898, 0x82da9f95, 0x315d348a, 0xa8123586, 0xb306ceb8, 0x36d4e22d, 0xafee2cb7, 0x33325d2e,
+    0xb82c7605, 0x9bebf64f, 0xe59709d0, 0x96f33996, 0xcee31a44, 0x0fda40f9, 0x4a7e5f2f, 0x94c7e522,
+    0x1f91a1a0, 0x25d9fbf2, 0xa8f9d3a3, 0x59ce7781, 0xc7ff4400, 0x08329946, 0x9e974603, 0x42c9c2b9,
+    0xf809a790, 0x24c49663, 0x20bec4de, 0x149a8070, 0x7c901456, 0xfa21c974, 0x279317ad, 0xb03f8d89,
+    0x377ad7d9, 0x64e6b7d7, 0x94fc7f41, 0x31b7f79b, 0x18d1a786, 0x150a7f96, 0x1300f78a, 0xab4d9754,
+    0x72ebfa2c, 0x9cb26eac, 0x19d95725, 0x5adb4a27, 0xc6f4fa0b, 0xbfef5d64, 0xfd6753bc, 0x983954e9,
+    0xd5f3f733, 0xe5836f75, 0x715c95da, 0xde4d5ebc, 0xbb797e28, 0x62f96c49, 0x3da4388a, 0x850b77e5,
+    0x7936e409, 0xf862b234, 0x43db2a7d, 0xe0e30c5b, 0x0d0074b1, 0x3dd81d31, 0xb67b2911, 0xc9d39e2a,
+    0xd13f21eb, 0xce3701e0, 0x4feaddcf, 0xe5c83f0e, 0x91953d66, 0xfb50caa4, 0x4ec0542a, 0x295e14de,
+    0x82e05e83, 0x07e66a11, 0xeb2e9886, 0x15c3346d, 0x3a05d5a2, 0x85a459e7, 0xf0ad3013, 0xc135b8ca,
+    0x8e680c6a, 0x20b07e3f, 0x6a85925b, 0xc2e29960, 0x0b03d7fe, 0x8edee6e8, 0x4f72acb4, 0xba384cc6,
+    0x457c2a90, 0xbc867b19, 0x330390ba, 0x7a86391f, 0x13df5cd7, 0x403c2c18, 0x3b42e2e1, 0xeae409a7,
+    0x935bd5ed, 0x1fe57efb, 0x6b0d1559, 0x866d5941, 0x3b0b02ff, 0x0dcf0158, 0xfffe259f, 0x3bc801d4,
+    0xbf0849d2, 0xd6b36c09, 0x0f12733d, 0x434a67c9, 0x625c2044, 0xd1ed4a30, 0x73e2145f, 0x16a7781a,
+    0x3a543219, 0x36496a86, 0xfc5aafdf, 0x66f759a3, 0x4df4c9be, 0x519d1c8f, 0xf9c4fa87, 0x304d2799,
+    0xc8004ea5, 0x10c72e54, 0x369e3c0c, 0x70334be1, 0xde88b54e, 0x23a2a6f1, 0xdfb6717c, 0xc806dd6d,
+    0x94535e67, 0x4b4907bf, 0xafd8323c, 0x136565b7, 0xa59df3b4, 0x8fa4a0ea, 0x38bf61be, 0x87369d54,
+    0x43abfba2, 0x49414c48, 0x17743380, 0x9a805087, 0x71898b00, 0x22ce2faa, 0xf3d70b9b, 0xcaa735be,
+    0xee6f92e9, 0x08cf2d24, 0x3df4730a, 0x1e3944ed, 0x2ea1bb29, 0x710c38d0, 0x1f756b74, 0x677d14d2,
+    0xd7a5e981, 0x98f2041f, 0x6c6ed11d, 0x86d75d83, 0xd3814707, 0x1f4c139a, 0x91a8b292, 0x6985eccb,
+    0x278156ee, 0xaf4b1d34, 0x6b8f58bb, 0xf72aff97, 0x7f48d1eb, 0xcae0c6fb, 0x47aff6ed, 0x6033b658,
+    0x422fc12a, 0x9e41528d, 0x0b0b58c9, 0x38b6d04c, 0xd7abb4a8, 0xdd71b809, 0x52b170c1, 0xfd8c8eb1,
+    0x26833ab5, 0xf051a054, 0x30a2d070, 0x3742c276, 0x0f00e6dd, 0x12e300cf, 0xd0d65465, 0x0ae98a98,
+    0x7c3e8a30, 0xeae0bf7c, 0x202b24f5, 0xb29f0094, 0x4ea1e421, 0x78a4515c, 0x31beb78b, 0x35ff5b29,
+    0x59da2290, 0x2faf0fbc, 0x074b9b67, 0xb13df99a, 0xf7b3c34b, 0xa3c827f4, 0x4cf6530b, 0x87ebb43f,
+    0x00000000,
+    0x5ca54cfe, 0x5ee48056, 0xd0bd6143, 0x4beab63a, 0x51f3a3e2, 0x50fde9dd, 0x7859d066, 0x6ac8082e,
+    0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x40000000,
+    0x00000000 }, /* 10**00000000000000007442828536787014559225075792773166431781287533438136937282459\
+                         63960974631028119473486019635930893891134220822124816566203939432067701407744 */
+  { 0x00000000,
+    0xcc6ea86c, 0x371d7e02, 0x459afb8f, 0xae974779, 0xb400468f, 0x3c0cba93, 0xc6e224fc, 0xc729d25b,
+    0xc62c8852, 0xaab7b905, 0x542306bd, 0x6ee2b9c0, 0x069775bb, 0x2abe43f2, 0x24e3e06d, 0xf98efc7d,
+    0x7e661264, 0x6fd10966, 0x43eebc8d, 0x40679244, 0xce28f43f, 0x53af3c31, 0xfa0906d7, 0x42e4500d,
+    0xf677f0bc, 0x6194f370, 0x5185eed8, 0x0ea5f7df, 0x44b40282, 0x97237a35, 0xe3ea1a65, 0xc43e623c,
+    0x2e680f8e, 0xd88fc193, 0xc9eee393, 0xed1c4ad6, 0x18597b3a, 0xe89080ee, 0xc5e4d0b8, 0x80a80c45,
+    0x613c7fcc, 0x57c4b4b2, 0xe7e5a47a, 0xcbb694fb, 0x12e46da4, 0x006ccf5b, 0xf2772585, 0xe43162d6,
+    0xd978509e, 0xeb3ef775, 0xff66711e, 0xbc51efc1, 0x89b0af0f, 0xe68603c7, 0x7fbefae3, 0xe1c616db,
+    0xe1308afa, 0xcd13f369, 0x9fc87abd, 0x3e891136, 0x093e4c8b, 0xb6fe1674, 0x08ebd5f0, 0x063e8de8,
+    0xcdd48021, 0xd2303f10, 0x32b2cb3f, 0x1ea15ef0, 0x168501f1, 0x2facd558, 0xff961183, 0x2e99c263,
+    0x0565f736, 0xf86728c8, 0x6c8aede8, 0xe9c3bf09, 0x292a8260, 0x3969b09c, 0x866cb0d1, 0x38c84122,
+    0x02e45755, 0xc2786b4d, 0xa9253849, 0xcc990d13, 0xc9f04b76, 0xe058f943, 0x0ec50a57, 0x59464f5e,
+    0xe5f7cd07, 0xdb31a8ee, 0x45283bc6, 0x3bbd2f07, 0x1600c8e7, 0x07ee2365, 0xd3f03cd0, 0x1a288cac,
+    0x91c2caee, 0x85c2a0c6, 0xeeb92590, 0x8b4fb59b, 0x96249cf6, 0x9d784de0, 0x14af7c7c, 0x26a50eb9,
+    0xb969fc9c, 0xd49337d5, 0xe8f59777, 0x0b710105, 0xd203ffac, 0xfbedcc74, 0xa81f0fdd, 0x7cf4adaa,
+    0x6e25c339, 0x269aa2c9, 0xdbfb25ec, 0x5bc91be0, 0x174ac6e1, 0x4f1f3a60, 0x1b2c6c4f, 0x38569bf0,
+    0x203182ad, 0x6daa2861, 0x7f160ce0, 0x74ad1f92, 0xffb0168b, 0x1838cd0e, 0x4c07ed93, 0xa7794160,
+    0xc9625ec7, 0xf27a7182, 0xc65768ef, 0x75af36e5, 0xdf0756a1, 0xfecaf0aa, 0x2bd173c0, 0xf51573fe,
+    0x340e09bc, 0xec1b7c8c, 0x93d13443, 0xefaaf140, 0xfb284170, 0x9b627438, 0x953de49c, 0xca3e7595,
+    0x9506f3f9, 0x5495282d, 0x4cedec9b, 0x9b31d453, 0x29fbc09b, 0x07cc67bd, 0xd7fd80c5, 0xff2830a5,
+    0xc818f14d, 0x1f9aed9d, 0xa1f6ca4b, 0x4bb1db7c, 0x6696c0b6, 0xaa3d7ca3, 0xb43afe1b, 0x90733dc3,
+    0xcf96ca0a, 0x8fb86478, 0x9ab8521a, 0x6d428565, 0xb2f8e165, 0xcd631512, 0x9560047b, 0xe0445d72,
+    0x51871e67, 0x1d157a28, 0xb0be52f7, 0x9e56b34d, 0x8e52c0d3, 0x093abf20, 0xbe51acc2, 0xd6e79343,
+    0xce5bc6d5, 0x23a18a08, 0x10161b40, 0x046af8da, 0x6b93632a, 0xfb5b1bae, 0xa282cffa, 0x90c60ea0,
+    0x7ea94659, 0x56611dc6, 0xecad428b, 0x0279aef3, 0x477bf804, 0x78b0b750, 0x7639ce29, 0xb8493a22,
+    0xdfc90fbc, 0x1f069789, 0x2859b613, 0xd99552c5, 0x8fa1d3d4, 0x9fba942c, 0xf0df8291, 0x611f600a,
+    0xef7706d8, 0x453eb891, 0xb4e46404, 0x1ca50c82, 0x3491c39f, 0xdf8ac637, 0xb54e45f5, 0x55b46a87,
+    0x0289ec2d, 0xcf9ef5b1, 0xfaff3d98, 0x31960260, 0x4239693b, 0x58eda162, 0xa452e411, 0x5296ef12,
+    0x2385d7df, 0xdc738e04, 0xa16b40f9, 0xed80aa0e, 0x0d597755, 0x4866fbd9, 0x87cec876, 0x9cafc085,
+    0x4d2077a6, 0xdbb7f282, 0xde113916, 0xb2e125b2, 0xaa47ded5, 0xc28c6892, 0xa79011f0, 0x95f35855,
+    0xa1f90866, 0x94a4b26a, 0x43a17bee, 0x289392a3, 0xd9526f9a, 0x6842fd5d, 0x4025978e, 0x36d28fe9,
+    0xd901ff06, 0x18e3ebd6, 0x227d6f30, 0xc104c51e, 0x3faec9ff, 0xc5f82e8c, 0x35f6c7bd, 0x7541e411,
+    0x5103a61a, 0x27021615, 0x894fb81d, 0x638c72d2, 0x23f58235, 0x5e73c5dd, 0x0bca92d9, 0x900e91d5,
+    0x0bfcb948, 0x463ecbbf, 0x8644deaa, 0xee61d432, 0xd13e38fa, 0x9eea3691, 0x4279f643, 0x3e1b6ee3,
+    0xedab5c1b, 0x32cb1766, 0x3e2a26ba, 0xc71414e1, 0xde22e4cf, 0x3b2dc128, 0x4e2beb62, 0x4775b5ce,
+    0x2fe48463, 0x83fc3b8f, 0x1f78fbe3, 0xb8dd430d, 0x433fa245, 0xa1f81c0a, 0xb4510db8, 0x2e7c820a,
+    0x4dfabd3c, 0xb5f7aaa2, 0x4d737e42, 0x9124c310, 0x23203d52, 0xc8f74827, 0xff62b45e, 0x2a1275a0,
+    0xedb3391a, 0x1945b882, 0x0ae2f196, 0xa0577d72, 0xff4a6478, 0xf5f0b998, 0x4305940b, 0x9aaf3c73,
+    0xbf2bb831, 0xbccf72ab, 0x4a468649, 0x6b0ec645, 0x4d6f93b6, 0x5a005c2c, 0xd5a4247c, 0x2af18216,
+    0x4a93576d, 0xa4c2e20c, 0xdd573518, 0xc5d6d571, 0x7856f67e, 0x5899c2b1, 0x905710a6, 0xa6eac6d0,
+    0x3ac65d89, 0x63220f3b, 0x41c61eb1, 0x88b60eaa, 0x57444024, 0xbfb2f5e4, 0xdc4cda7e, 0xa56098e5,
+    0x6d1d3e38, 0x941ca9f9, 0x46442579, 0xb3380fe4, 0xa6d4f2b2, 0x47760be7, 0x2c29c48f, 0x50483422,
+    0x7281f49c, 0x8b782627, 0xaf5e0f19, 0xf95cb071, 0xee36951e, 0xb642db01, 0xdc26667e, 0x14d462de,
+    0x3a155c4a, 0xc2f558fa, 0xcd5a9a2c, 0x6f58021c, 0x889b011a, 0x4a557a56, 0x4779d8ef, 0xa85d8183,
+    0x1120d510, 0x9f843950, 0x6bbdb50d, 0xf3ab787b, 0x4f1e3532, 0x2092bdea, 0x9f3c6abc, 0x985cffca,
+    0xcfbef17a, 0x9548d3ba, 0x93f05331, 0x13a01ddc, 0xa476ba6e, 0x38f1844c, 0x3b3f0e45, 0x887e2d43,
+    0x1736b2f8, 0x4ca76ca9, 0xeff91a7e, 0x7453267a, 0x7ad15043, 0xb755c8d0, 0xaa1435e2, 0x39f2e11f,
+    0x31aea3cc, 0x21832ade, 0xa3839eb2, 0x41035fb9, 0xd66e2007, 0x6f645bef, 0xcc655b60, 0x7fae8d36,
+    0x1c237982, 0xb15a52f2, 0x628319f8, 0xd52e479a, 0xee169a19, 0x0d95c496, 0xb70fb68a, 0x23ea8827,
+    0x2c963cf9, 0xe9d11454, 0x0504413f, 0x2533aac9, 0x10130327, 0x10fa6acf, 0xa1e16071, 0x91652314,
+    0x32be30c0, 0xb4c8647e, 0x71ff9e50, 0xb32a18a2, 0x0bbdbd9c, 0x54780432, 0x04e1d5cb, 0x9fcc0c14,
+    0x3c0e3e61, 0xbc3bccd9, 0x15a52736, 0xf6f65f2a, 0x2081496b, 0x46fd3a98, 0x9347e294, 0xa92000a0,
+    0x34826573, 0x3f02df3d, 0x11b6a009, 0xbfeaf18d, 0x9f31dcce, 0x4e0f0009, 0x6198635f, 0x04a61a58,
+    0x179fa3cf, 0xae94b494, 0xe443206e, 0x522bab16, 0xe1dfe2fe, 0xdd75c224, 0x6fcb7319, 0x19e50d4a,
+    0x47ccd41d, 0x21b23e6d, 0xa23228c0, 0x7c815b88, 0xa3eee103, 0xb9015ff1, 0xd061105c, 0x014041a7,
+    0x6f56b8d2, 0xf83bf42a, 0xbe9a5759, 0x163bcc06, 0xc85608f5, 0xf00f90e4, 0x5fe49963, 0x7d65e02e,
+    0x48a2d06e, 0x302b9437, 0x87a0830e, 0x5cb1775f, 0x075a528b, 0x732212e0, 0x4e81a88b, 0x1af81556,
+    0x5c741054, 0x123b800d, 0xb09f6172, 0x3aaa7af3, 0xe0fd32c5, 0xcec3f9bd, 0x6ad0141f, 0x5943b374,
+    0x5e75a52d, 0x64d29071, 0x47d95ede, 0x4002f2af, 0xa412c4c2, 0x3f16df6e, 0x497ed3a8, 0x3347f458,
+    0xfdb0e61a, 0x1b4f9291, 0x3a3b5730, 0xe12e27b1, 0xc92c70a2, 0x3bfee7fa, 0xedd3da6a, 0x9efc4a59,
+    0x45bc542c, 0xb16ebcff, 0xd6e48538, 0x130528f4, 0xc18db256, 0x12592c06, 0x8a5eccee, 0x1c5bcba9,
+    0x33ed27b1, 0x4ca14d84, 0x35b94cd0, 0xa9258462, 0x762e82dd, 0x9228eed6, 0x3f6b26e3, 0x47a8443b,
+    0x86f23368, 0x4aec67c4, 0x7877ad3a, 0xe489e9e0, 0xd84928f1, 0x645fab46, 0x2961c75d, 0xb21a6c0e,
+    0x4c005e25, 0x2f58a5fe, 0x798018a8, 0xd8a5c955, 0x4bdb1c8a, 0xd186cedc, 0xa00f6bc0, 0x38679fcc,
+    0xc4205bf0, 0xe4ad38cc, 0xad49c401, 0x4a93dd70, 0x4a1149ab, 0xfaad55b3, 0xbb50c2f7, 0xf559b1dc,
+    0x9693081e, 0x10dec491, 0x791a942b, 0xc3bc6184, 0xce766dcf, 0x9351dd10, 0x615a6e91, 0x46c39090,
+    0x3f5967e1, 0x52e81fca, 0xbff3f195, 0x10185928, 0x2824b7bb, 0x18a367d1, 0xfe3a64c9, 0x55e25478,
+    0x2889f72e, 0x7ba57222, 0x8a8f6e87, 0x33778814, 0x00744443, 0x921dadea, 0x70e3b213, 0x590efc4a,
+    0x73c0398d, 0x3c32b94e, 0x98d7ae49, 0xd3713f56, 0x076ffe65, 0xb53cce4a, 0x2d6bcddc, 0xa360f3a9,
+    0x2c66029b, 0x20d0dac8, 0xe882ca94, 0xfdaa1bcf, 0x09a19962, 0xcff8cef0, 0xff5e929c, 0x3494af79,
+    0x4fb105d0, 0xc6dd435d, 0xc5db896c, 0x20a12f93, 0x7ac94a8d, 0x882a985e, 0x060a3e8e, 0xa8bb40b4,
+    0x3012ab6a, 0x242deda1, 0x041e2977, 0xb8314304, 0x55c62857, 0x93f3a9e8, 0x3eff3513, 0x36eaa152,
+    0x5a2873e6, 0xa986573f, 0x9b6afc6a, 0xe9a3f49e, 0x241c4786, 0xfb126e01, 0xee558a99, 0x7d48447d,
+    0xb5060642, 0x5409ff07, 0xd873aff4, 0x6c408b8b, 0x1ecc8ac3, 0x71472dd0, 0x43ae572e, 0xa2f2d22b,
+    0x5425568d, 0x6f8f279c, 0x61138fd6, 0xc473033a, 0x8777301f, 0x141e6cb9, 0x7e67cb06, 0x942cd593,
+    0x5637ed48, 0xc9fb9306, 0xc6c8e7b8, 0xf65a1b76, 0x18961281, 0xaf2ce48d, 0x6ee4a253, 0x8fdb55eb,
+    0x84494733, 0xa842d5a6, 0xf3abf6c9, 0xd1136096, 0x71c2372c, 0x99f4a786, 0xdb4106df, 0x38451c26,
+    0xaa7cdb5f, 0x8d0244fd, 0xfebcc117, 0x0b160817, 0x8c8781ee, 0x7dcc5a6f, 0xe39dfc40, 0x059d3e05,
+    0x50c47d10, 0x7f93e555, 0x7051e627, 0x396c3e5c, 0xdb0b0495, 0xae8637ca, 0x27fe5095, 0xa08b71a3,
+    0xc6e97122, 0x7d1af0d4, 0xa62f7872, 0x8776443e, 0x0065549e, 0x3a3cf10a, 0xa5cf6df2, 0x979b5c4b,
+    0xdf324717, 0xe63e699c, 0xd8915a6e, 0xb37ab37b, 0xa5759492, 0xd332bd54, 0x6ffa24c6, 0x0be390ab,
+    0x00261071, 0x41226ef6, 0xedb4738c, 0x7bb96103, 0x635828dc, 0xac8bbdfb, 0x62f32bcf, 0x970d3833,
+    0x6c82b4b5, 0xe343b17f, 0xe7f9852d, 0x589328bf, 0xf07c334f, 0x826a819b, 0x243d2750, 0x64a9d20d,
+    0x2f683f92, 0xb59dd24f, 0xa4de6d1e, 0x759bfb97, 0xe453dcca, 0x5e67f5f0, 0xca480b19, 0xd3f956e1,
+    0x9e3282ab, 0x61c7c848, 0xae37d328, 0xd7f7aba4, 0xa5806a2f, 0x34175739, 0x3fecb589, 0xad1f38bd,
+    0x44d54250, 0xe304a89f, 0x2530d274, 0x695c3943, 0xebc6dd4e, 0xae12bbf1, 0xf53dcd19, 0x1ec9a0d5,
+    0x66f1cec4, 0xc8e997e7, 0x9a219d8d, 0xf6fd4e4c, 0x228fc8cb, 0x154a0b51, 0x19840d94, 0x2e2e5b47,
+    0x1d9f29dc, 0xf23bd57e, 0x284e5d9b, 0x5897cbfc, 0x9a81f45c, 0x89e862e4, 0x902dfc1e, 0x218fb41d,
+    0xb875aa6c, 0x6362fd35, 0x8780fa61, 0x146dc0b8, 0x74e5a477, 0x0e70d033, 0x2ca64f82, 0x9bbafc54,
+    0x933d0718, 0x8d4f5c9b, 0xb8f12793, 0xa28615f4, 0xf2bee04b, 0xc01c5580, 0xd7b2945c, 0x71c674f5,
+    0x8af90b40, 0x2bde6f4f, 0x60b5c4d3, 0x2fb8b496, 0x5609cac6, 0x7e8b75fe, 0x5f39870e, 0xf84e1eba,
+    0xe745b557, 0x95ffded9, 0xe19af248, 0xe7d2492b, 0x64c88dad, 0x2f4103f3, 0x14f132b7, 0x126757aa,
+    0x10e6f036, 0xb2c212b5, 0x2bc6ef61, 0x9625e282, 0x1fc14799, 0x9a44f3f1, 0x2846d3cc, 0xe05dfdc3,
+    0x24349ffb, 0x93fe00b3, 0x929a4134, 0xc8153762, 0x54ae7b4b, 0x70cb6e1e, 0xccb78e23, 0xda014191,
+    0x542a536a, 0xb2fe6722, 0x418e7e46, 0x15c8f8cb, 0xd6a378c6, 0x9ab7c740, 0xaf50004d, 0xd5028955,
+    0x000b3370, 0x0e7fff23, 0x99938ac7, 0x8d3efd68, 0xc3cf9d69, 0x995641d8, 0xf155d6e3, 0xd81804ad,
+    0x2c57b1b5, 0x0bcfe039, 0xcff304c8, 0x585ed572, 0x5b6ea8b1, 0x7be752e0, 0x7907c065, 0x181219e4,
+    0x01d8d44b, 0x70d88f07, 0xa479e836, 0x33a94969, 0x7dacfb8a, 0xc6cb2fd1, 0x1271717d, 0x95ef0a79,
+    0xe9036ad7, 0x7cd961ae, 0xa3641fcd, 0x04042ef0, 0x6eb60e13, 0x35c7372c, 0x5c9725cc, 0xccf4b96c,
+    0x841d199b, 0x7cea8592, 0xd9d44814, 0x3881f4e7, 0xd6485bde, 0xa196c232, 0x196f5e1a, 0x1ef7ced8,
+    0x2260c31e, 0xf19f0ec9, 0xe4d8c561, 0xcbd64ebe, 0xc207c011, 0xff3ee95b, 0x7f299b9d, 0x44131499,
+    0x242d30bf, 0xe2316ea4, 0x2352c2d2, 0xabd70c76, 0x1e83fda3, 0x8c851db8, 0x9b767ce9, 0xa34e833f,
+    0xc35ef387, 0x1ae0e566, 0x992d47c0, 0x7bc440ff, 0x2a26984e, 0xeae9a8e2, 0x28dc2e3b, 0x63951b57,
+    0x531def9d, 0xfdc06d82, 0xc01f9349, 0x391fb788, 0x48ba3712, 0x01ceeed9, 0x92b851e0, 0xa5c03c14,
+    0x4f21fbb5, 0x538ebd14, 0x8767aef5, 0x3f0a1cf8, 0x0f7742e8, 0x690a4691, 0xf80f3d57, 0x27423484,
+    0xbbaaf631, 0xe886b810, 0x3059fc72, 0x21912e40, 0x7cae16f2, 0x73f04fed, 0xe3c5848e, 0x6bade65c,
+    0x3299d335, 0x657d183b, 0xe34b6f7f, 0x9a2760b5, 0x287cf72f, 0xc10c06aa, 0x0118fb8a, 0xe420c0f1,
+    0xa0356f37, 0x82e47ca7, 0x0a9cd88f, 0xff2ec214, 0x363f7707, 0xdbc83a65, 0x6ed48b83, 0x0d74d62e,
+    0x1ca661eb, 0x71d0c5fb, 0x7951e017, 0x4fffb3ba, 0x19e03bfa, 0x30d7a218, 0x998847a6, 0xf9cb955a,
+    0x16dcf963, 0xf606eae6, 0x21ae5322, 0x6df31fc7, 0xc87862ea, 0x78a4a15e, 0xa9a62c85, 0xaac7ab43,
+    0x3ef23159, 0xffad15e1, 0x3a042d4f, 0x93d6e54f, 0x75185414, 0x12e8994b, 0x4e0a4c1a, 0x42c0308d,
+    0xdc756f1b, 0x8e540a78, 0x0951c8be, 0x359d34be, 0xe4291b63, 0x0d7f8708, 0x63718621, 0x5a8c677d,
+    0x06f45a43, 0xb3d0a53e, 0xee42191b, 0xdce54751, 0x1a6217de, 0xe131e681, 0xe5929e29, 0xe4991ab9,
+    0xfe12d6f1, 0x05d0cae7, 0x6c9a5b75, 0xbdf50a15, 0x8a00e583, 0x6f29e7e2, 0x0cdde485, 0xe5ded24a,
+    0x983c4884, 0x7c1dcf8a, 0x4dd1970c, 0xa064bf1e, 0x09dc0e08, 0xd112cef8, 0xcf699cd8, 0x4a1f1578,
+    0xd10ed7f8, 0x5dcf386e, 0x429111e2, 0x648f7928, 0x04fa2ae0, 0x49299b99, 0x4d6ffa56, 0x1fe3c63e,
+    0x8b79b12c, 0x512fc885, 0x913e33d4, 0xe4a199cf, 0x43952e63, 0xec65adfe, 0x2e79d600, 0x3e9be8b5,
+    0xf9c200be, 0x3d5bebb1, 0x96735fdf, 0xd76bca4b, 0x9476a9ee, 0x5eaa8f9a, 0x7f8fd7ec, 0xcb2b439f,
+    0x8fde6c21, 0xb76f004d, 0x10486a12, 0x274f96e0, 0x90a2edfc, 0x139fcf84, 0x27c0b136, 0xacd71ddc,
+    0xca2d5c21, 0xd159c895, 0x91301f10, 0x3e7780f9, 0x886359bd, 0x9ab155fa, 0x0ea445c9, 0xd52b1b2b,
+    0xd052b84b, 0xf78dfc87, 0x968fff51, 0x54420156, 0x96496727, 0x90a6155f, 0x3dea2bde, 0x280c94d4,
+    0xe7e6d50f, 0x9e2b5d08, 0x8bcef4bc, 0x2a975732, 0x6c659cd6, 0x3ee4f652, 0x5519d535, 0x7cb08aac,
+    0xba74b11c, 0xe90d3cdd, 0xec5fa515, 0xbf6af573, 0xaa36737f, 0x5ea4c80c, 0xa6b00148, 0x72e695b8,
+    0xb7b2bc56, 0xf1aecfbf, 0x3f425dbb, 0x22241b49, 0xcbf15819, 0x0f9a51e7, 0x2598799a, 0xb07ec925,
+    0xe4580246, 0xac4528b5, 0xca554ad4, 0xe62aa7f5, 0xdf0d527a, 0x39be36c9, 0xe4a56b37, 0xe94a3c95,
+    0x37553ad6, 0xa0651c19, 0x7207be7a, 0x00e25049, 0xfaff22cb, 0xb9454a74, 0x527a2e7a, 0x71aeb252,
+    0xe67f0d29, 0x804ce629, 0x7bbf8b56, 0x57923fba, 0x87588165, 0x6d6a5bc5, 0xd02f9c82, 0xba893ba6,
+    0x00000000,
+    0x2e52a67e, 0xaf72402b, 0x685eb0a1, 0x25f55b1d, 0xa8f9d1f1, 0x287ef4ee, 0x3c2ce833, 0xb5640417,
+    0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x40000000,
+    0x00000000 }, /* 10**00000000000000003721414268393507279612537896386583215890643766719068468641229\
+                         81980487315514059736743009817965446945567110411062408283101969716033850703872 */
+  { 0x00000000,
+    0x730487c5, 0x51fbbad9, 0x43ef18a5, 0xd34ed9b2, 0x3b57e0ff, 0x33fbe627, 0x77a9f3e4, 0x0480a8bb,
+    0x6f0ab766, 0x0466c66b, 0xb04223b5, 0x57f08269, 0x8998450a, 0x61f02365, 0xd3a6c681, 0x809c5e5a,
+    0x8f0b7d57, 0xb8cdab17, 0xee3410b6, 0xec7b2653, 0xa87c53de, 0xc4c3f118, 0x0a7f1954, 0x71b60210,
+    0x8412561e, 0xcfae8b6e, 0xd2c291b7, 0x89136d4a, 0x8aa34fe8, 0x35d39d02, 0x614df22c, 0xe0a65721,
+    0x3f9cc6c3, 0xebe1dc58, 0xfd29c10a, 0x125da25e, 0x2df0fbd9, 0xd08315ac, 0x0870bf97, 0x5657e662,
+    0x1371921f, 0x6019c0ff, 0xe4d75239, 0x9550c1bd, 0xc0659327, 0xbb23f3aa, 0xaa8b33cf, 0xf2a34c0c,
+    0xe277b90b, 0x81a014ae, 0x8efbcfa2, 0xdac4cb4f, 0x87249e0e, 0x7abbae7c, 0xc4aacec4, 0x4de348bf,
+    0x6e922fa9, 0x0f3b802e, 0x80142e50, 0x09160af1, 0x0d7ea532, 0xd5621fa3, 0xa2fd9a13, 0x62b35e4c,
+    0x1e468a0a, 0x9ca76b51, 0x58c86f4a, 0x6c19f9fa, 0x143eb939, 0x26ef159e, 0x19c93462, 0x91d8e973,
+    0x470edd4d, 0x8bae6e66, 0x66c4dcae, 0x5ab8ce90, 0x3669abea, 0xbe28d53c, 0x540a2ca4, 0x6a66765e,
+    0x911160dd, 0xf810d308, 0x59877363, 0x0fc02726, 0x2b084459, 0x3a5657e1, 0x4e1c0376, 0xc8a620ee,
+    0x5ecde8e9, 0xc27a2180, 0xff6e12a2, 0x3789801c, 0x244578db, 0xd4845b95, 0x881ac459, 0xf691c6dd,
+    0xc5d7d216, 0x65ce047d, 0x0bff0f30, 0x527bdcd8, 0xa490349c, 0x0c0af39c, 0xcd70bb75, 0xa46690ec,
+    0x9a1dcbda, 0xce47e56e, 0x6c502863, 0xf82029c2, 0x9143783b, 0xac7d0762, 0x47553fa9, 0x2f61df3f,
+    0xe1f2a901, 0xba4f9de9, 0x1be4eca3, 0x046a0899, 0x9355dd27, 0x1cd6ab3b, 0xc998967a, 0x6dd60d73,
+    0x88c45d4e, 0x3b528a13, 0x9d32a3bc, 0x73dd1b3f, 0x972e937f, 0xd92b7c54, 0x818a170a, 0x1fdf34af,
+    0x4b4479ed, 0x0df25219, 0x74948b89, 0xc76b0eda, 0xb24a9400, 0x94ad7113, 0x0e73e9ca, 0xafc3d1a5,
+    0xc72e717a, 0x4d4eae17, 0x40d9eafd, 0x0c907e12, 0xf008ef02, 0xe5a6b064, 0x3db8cd5b, 0x407d1f92,
+    0x6dc657f6, 0x8c8b12a3, 0x1efecc86, 0x9d0534f7, 0x5429915e, 0x16a86181, 0x06bfbaed, 0x4ab891a0,
+    0x0a9e9021, 0x607d6a82, 0xe4c92d79, 0xb9b0508f, 0x0fab07db, 0x49f2f857, 0xd2b16276, 0x2985cd9b,
+    0xa4daf612, 0x3b0f38be, 0x074268f0, 0x5aba1b29, 0x01bef299, 0x1f082205, 0x56dd9567, 0x8c81f54e,
+    0x2236b209, 0x2edf8f1f, 0x30ca603a, 0x343aafbd, 0x38c04890, 0x04433b4f, 0x22f26951, 0x066b9ce1,
+    0x086d267a, 0x2911d19e, 0xce9a86fe, 0xd17991cb, 0x2382a942, 0x89ca00f4, 0xd07338ae, 0x50e47c38,
+    0x918261b9, 0xb55cc95e, 0x667f87c8, 0xb57ff5ab, 0x8a8b1c06, 0xd90b4c9d, 0x667ca013, 0x9698ee03,
+    0xabdb1bef, 0x79b0ac64, 0x1cce7d54, 0xab49d38d, 0x1af8ab49, 0xcf1b02f1, 0x3bf6d7f8, 0x27a21a47,
+    0x3fc87942, 0xbd7ca172, 0x8577fdd4, 0x13dc5947, 0xc006d6ce, 0x6276495e, 0xf1d4675d, 0xc0f32a29,
+    0x5d9a5998, 0x66f59e01, 0xd566ba6a, 0xe30fbb67, 0x173f43d2, 0xab09430a, 0xb0189277, 0x5322c234,
+    0x27c6c883, 0xaf1881dc, 0x6d3d8414, 0x0c274cdb, 0xd5ab9e35, 0x87c0ab52, 0x1a63e973, 0x5786cb4e,
+    0x58025e68, 0x087d07fd, 0xc9979518, 0xc83abce8, 0xc01d5423, 0x3a417ffa, 0x62a63298, 0x2bd088eb,
+    0x4299ee28, 0xf50698a3, 0x42c3e52b, 0xef7cccf6, 0x7ff76cbe, 0x7e98d298, 0xbec6ce29, 0xe7f2b0d6,
+    0x5709f948, 0xbc8feebb, 0x4b5a33ee, 0x4b38bed2, 0x4b7cdaf8, 0x573957ef, 0xbd3b463a, 0x7d9ec322,
+    0x6f46340d, 0x29e556b9, 0x8eeb3cff, 0xa51c7394, 0xd737fa79, 0xd9fc4dc2, 0xa7080a7b, 0xb5febbb6,
+    0xf1c5c195, 0xea4d0779, 0x84006072, 0x22ee5eec, 0xdc3258c5, 0x314e51e0, 0x749ed19a, 0xfffff673,
+    0x42b88d86, 0x72147fd8, 0x5560ef7c, 0x7690b31e, 0x7e870eed, 0xd4b4a234, 0xa40cb137, 0x20aff6f3,
+    0x13444fa9, 0x9bb3ff36, 0x0a2c2581, 0xef9fa01b, 0x3d77f17e, 0x1a69d880, 0xd472bc1d, 0xca71e741,
+    0xd3b90ef2, 0x28bfbca4, 0xe1fc3e09, 0x6c636558, 0x336f9939, 0x9f2d73cc, 0x26a37b6e, 0xe3b7d0fb,
+    0xac8ce674, 0x24d59c16, 0xbc24a95e, 0xc27b0563, 0xdc319db8, 0xdcf869c9, 0xfda8ef7d, 0x87cff264,
+    0x0e3b9054, 0xff8cf6fb, 0xd1faeb25, 0x0a6e3501, 0x9f8e0b3f, 0x3d9567e8, 0x38311c70, 0xe007b91c,
+    0xf514292e, 0x98de6072, 0x24a5d57f, 0xb0ce0e25, 0x1cb78a4f, 0x6147ccd0, 0x631e522c, 0x587d7737,
+    0x0bcb7215, 0x2c316a19, 0xc0609f70, 0x4fdb698b, 0x2e655695, 0x9c3118b8, 0x810242cc, 0x8e45f50d,
+    0x1b450398, 0xbad06cd7, 0xbfedfe2c, 0xa569ebd9, 0x6ed3bb1a, 0xc5876309, 0x8ae0698c, 0xb95229a7,
+    0x48d4455e, 0x13f87852, 0xbfdd7b20, 0x9504e5aa, 0xf666574f, 0x34c529b8, 0xe5b3aae3, 0x5fcff9ed,
+    0x3384d9a7, 0x425fe9dc, 0xdcd5b0d8, 0x7e57c93e, 0xc4bef7b1, 0xfdd64545, 0x70681de8, 0x22edb451,
+    0xeb622243, 0x23b7963f, 0xcc6add70, 0x51ed262f, 0xc03dd4b7, 0x7b582e08, 0x672c9149, 0xbbf0ce79,
+    0x1cb731df, 0x6228572d, 0xfd1ade3c, 0xc8f5f9a5, 0x4ebfb8b3, 0x09e6ae70, 0x0cdc53fd, 0xe5eac15e,
+    0xdc4da456, 0x62b4762a, 0x3ec9b153, 0x2cb3dc7b, 0x5198cc11, 0x4ba52d90, 0xe12a36cb, 0xcc2979d7,
+    0x2882a722, 0x53f1840d, 0xf3fc1d57, 0xe2cd04b9, 0x0303944c, 0x6b27a452, 0xe8877565, 0x40bd9a0d,
+    0x7ac5bb2a, 0xb9df4c80, 0x97358e71, 0xe8083f14, 0x7d77ff89, 0x40eddb6a, 0x39c6c810, 0xbc0d77a1,
+    0xa131b091, 0xa229b308, 0x41502d80, 0xb01693f2, 0x9b62f865, 0x7bfe7aa1, 0x5f8f125a, 0x6dbd13d8,
+    0x2fcb8db1, 0xecfa1c8d, 0x01222533, 0xcd8b1f93, 0xbc77409f, 0xadd56ee1, 0xc52fe3c5, 0x9c29bc7a,
+    0x505f40e0, 0x0e83d265, 0xc16d6128, 0xce6b30c1, 0xb07e6a1b, 0xa7520464, 0xd1b07ce2, 0xfd45e69a,
+    0x3f6874d4, 0x5d1eadec, 0x8ff2f313, 0xb7579d48, 0x80b05f84, 0x70cd8349, 0x78116f3d, 0x8f236eaf,
+    0xbf72b47a, 0x41cc8bf0, 0xa3755072, 0xc3fe8535, 0xae3d757a, 0x6af6d83e, 0xaab62d2e, 0xb1ecbec0,
+    0x3734a4c1, 0x12cc92bb, 0x9bbf873a, 0x0386fcf8, 0x9729233c, 0x4ba3cf90, 0x000cb524, 0xe0972322,
+    0x5bbdc0a1, 0x6f160f07, 0xf08590e7, 0x2025862d, 0xa0809cf9, 0xa827173f, 0x508b1869, 0xd281c297,
+    0x9718ac73, 0x8827bdd3, 0x2fc2401e, 0x30ce228d, 0x94fbbfc6, 0xe1bc361f, 0x0b3bb967, 0xa320c0fd,
+    0x55f735db, 0x83fc5ebc, 0x95368ab0, 0xee037a19, 0x05c84410, 0xb9fd4f27, 0x86658689, 0xf7976058,
+    0xcdf7faa1, 0x27857856, 0x775072b3, 0xb94dd53a, 0x5ff018c6, 0xc797ca9b, 0xde3097b4, 0x2c076e22,
+    0xdd75ee78, 0xe16cc86d, 0xc42aff35, 0x7215eeb7, 0x955413f9, 0xbd81268b, 0xd7453ac1, 0xeffbe24f,
+    0x7ac3f68d, 0x50a8b881, 0x6953beb8, 0x65889d30, 0x6eb53036, 0xc5343755, 0x3a026f5a, 0x9ebae919,
+    0x19d207f7, 0xdae1e5ef, 0xa3a26de0, 0xdf61619c, 0x5b218d80, 0xc26ab54d, 0xc589c062, 0x38d1a1d1,
+    0xa3c0a13b, 0x6a3b1141, 0x327fc581, 0x5c2708c7, 0x7cddc97c, 0x69075d49, 0x8c5e1f17, 0xf1fb9f4e,
+    0xeaf39143, 0xeaac66c0, 0x7c21ded6, 0xe06458b4, 0x3da0b5a8, 0xabd6f131, 0x2a5bd552, 0xcbd30664,
+    0x5d41a8d0, 0x01d511df, 0x2336afa1, 0xeca53661, 0x2112057b, 0x18b38cc3, 0x1a290b7d, 0xdb8ab2b1,
+    0x7d0abb44, 0x7273f3f8, 0x883633e5, 0xb5bd47a5, 0x7d8f4cb1, 0x6319647c, 0xceb9d4cc, 0x30240f51,
+    0x30a4edb0, 0xf2008769, 0x67e6c07f, 0x6db3870a, 0x0e369d70, 0xe409d065, 0xfa40e76b, 0xa54db049,
+    0x89c55e30, 0xbfc3e517, 0x0f555d5b, 0x5308b7af, 0x55297adf, 0xd26e9ed8, 0x467ffc26, 0x596b6085,
+    0x0648a407, 0x4ec10130, 0xc63efa37, 0xdee54127, 0x76751c01, 0x9b2f55cc, 0x8f603ae3, 0xfaf474c6,
+    0xb1eeabac, 0xae9f0c57, 0xdc2eec13, 0x97758ab5, 0x53dcd99d, 0xb55e7308, 0x03af47f0, 0xffc0dd1c,
+    0xbd7c9f1b, 0x2a551b2e, 0x24166da1, 0x75f94c29, 0x7c80116c, 0x61d8d543, 0xdeb59780, 0xd86870ba,
+    0xb189e2ee, 0x9bff7ab1, 0xd01c0b9c, 0x6d4bf400, 0x6370b0d6, 0x8dd76e6a, 0xd12efdb0, 0xbb263d88,
+    0x8434556d, 0x80bf3dc2, 0x850ca416, 0xf8e21be5, 0x96127eaa, 0x647540fc, 0x3279fda4, 0xc0a8f52c,
+    0xef9c531f, 0xc13a8a53, 0xbf784287, 0xd0e56670, 0x5e024144, 0xc34d3c38, 0x5bfc244d, 0x786c013f,
+    0x5388d2ed, 0x7399adb2, 0x97240a48, 0xbf0fe117, 0x66ba6029, 0xb0f1a539, 0x322b2fd1, 0x05b096d0,
+    0x39b785cc, 0x3d0520f2, 0x4c583ce9, 0x9a4c61fe, 0xa7771dbb, 0x44ecc9ac, 0x467bdcb0, 0xf2a051fd,
+    0xf5749176, 0x07981bd2, 0x8e34ce08, 0x834a95f5, 0x9526ce76, 0x90dfbeb3, 0xb35dd433, 0xcf9b3603,
+    0x1336ff83, 0x00091eed, 0x158a7f9c, 0x99aaf38f, 0x3a6c8300, 0x58a4b929, 0xdaf5a617, 0xfe115e27,
+    0xffe34264, 0x81af4c83, 0xaf4134e4, 0x83d2abe4, 0x54a40132, 0x757435d7, 0x7aac23b6, 0x583f57da,
+    0xc2af5fc1, 0x59fbaedc, 0x215bd43d, 0x2dcd9a34, 0x6241e8a9, 0x6143ad58, 0x5c783259, 0xfcaa902b,
+    0xaf1021ef, 0x8c123aec, 0x0ac9d95b, 0xec730264, 0xde8a8648, 0xb47b71c8, 0x80a7abdf, 0x4c7fcf1a,
+    0x9f9540ad, 0xbc3a8c09, 0x8b686c29, 0xcf79a8cb, 0x36bdd1c8, 0xd760b8e1, 0x89971b25, 0x04918a28,
+    0x4eb71d82, 0x706dcb50, 0x9e1f8ee7, 0xb312f578, 0x49f499cd, 0x56850c1c, 0x507017bd, 0x707cf309,
+    0x4cb9e5ae, 0xd939383e, 0xb03e52d0, 0xa2d84b36, 0xb88f020b, 0xd2ba02ee, 0x8872377c, 0xe7eff93f,
+    0x33895aa1, 0xa89049fd, 0x9a97b7a8, 0x4aab4ce7, 0xd776b4d6, 0x174cec08, 0xf576e019, 0xdf95f324,
+    0x20ed95da, 0x111fa899, 0x1710d2aa, 0xae717f01, 0x3fa85428, 0x0cec4693, 0x809d2892, 0xf07a3df6,
+    0x43e59755, 0x7111cf08, 0x8f42b5a4, 0xde71477c, 0x442e7da7, 0x9932ed13, 0x9ed85d6c, 0x57915456,
+    0x33a09bcb, 0x234f5c15, 0x099797f0, 0xa782721e, 0x48b24d3d, 0xe3311223, 0x49212b44, 0x71cfbbac,
+    0x93c506f2, 0x917b268f, 0xfdabe2d2, 0x099ef799, 0x12fc9087, 0x96b6f660, 0x99effd92, 0x9643f73c,
+    0xac94cba6, 0x71b442fc, 0x09d18d29, 0xca0f3137, 0x2babc838, 0xeb3f066d, 0x25e78e9b, 0x095ea8e5,
+    0x80e19005, 0xc46eb350, 0xf58e4f45, 0xd3f7da9c, 0x1395caa1, 0xd382ec86, 0xe2ed4b56, 0x67f9b83d,
+    0x07e8b972, 0x42ec7c09, 0x11c79516, 0xe2ae5aa3, 0xd2245528, 0xf459abee, 0x78429f2a, 0x0e1163ac,
+    0x8dbb444a, 0x338207c8, 0x9152c648, 0x215426f3, 0xcdd789fe, 0x735af8d1, 0x9ce3edbc, 0xff3665da,
+    0xd08c8046, 0x6ada2a26, 0xfa9519da, 0xd07a3836, 0xc72c0b85, 0x02a60082, 0xfeb872ab, 0x11db16ee,
+    0x489cfc37, 0x42e59901, 0x70ae4081, 0x8c3ec87e, 0xd6cd04c0, 0xcf176f3c, 0xbcac1eed, 0x46a43a50,
+    0x1657929c, 0xe8316f18, 0xb8f83e46, 0xb4cc4af7, 0x3319bb6d, 0x4e64fa35, 0x032a6e5e, 0xe1bd3cfc,
+    0x994d7d9e, 0x934c41cb, 0x501dc5d8, 0x25edf49c, 0xbc403165, 0x7d12c312, 0x1d8fb197, 0x2f47d441,
+    0x43202b9c, 0x1188416f, 0x77e4f74c, 0xcb097f72, 0x132f7ca0, 0x2ba3d753, 0xc933c639, 0xc48e6448,
+    0xde1790bf, 0xf41e485a, 0x8745bc97, 0x59c55990, 0x743bf6fc, 0xd215a670, 0x42369fb8, 0xdc17301e,
+    0x1c45d0b5, 0x24189128, 0x79499e55, 0x3c9a4166, 0xc6455980, 0x74866be8, 0xd17026d3, 0x053cb450,
+    0x91659cff, 0x787b2ed3, 0x886083b3, 0xc1f44595, 0xcb477ada, 0xc286630f, 0xc1df62c4, 0xa3703f63,
+    0x5f36d7d4, 0x7176b676, 0xb1054f91, 0xf4d1a021, 0x8717df75, 0x2084bc5b, 0x7d6aa41d, 0x1d0d8d32,
+    0x9d24da2f, 0xd2367fce, 0xccffff43, 0x6b1e70be, 0xc6264a49, 0x28d874ea, 0x8a9b322b, 0x570cea59,
+    0xd79a1cf2, 0xe513b3a9, 0x3e844d65, 0x9d1794ca, 0x90b72f16, 0x49a71ac8, 0x36dddab0, 0xa228778b,
+    0x398a35de, 0xb36a3fe0, 0xe932b7c4, 0x4db0c99b, 0x440dd1f3, 0xbe28a15b, 0x8f85c2a0, 0xdaf0d999,
+    0x3841f87b, 0x0713ca12, 0xf705e28d, 0x04cce392, 0xaa73a2c9, 0x9ccbf6bf, 0x33e8e732, 0xf8915b07,
+    0x79642273, 0x63add03b, 0xdfdea7f6, 0x3de3f3e8, 0xc75af816, 0xce96bac7, 0x45258408, 0xa45ea9cc,
+    0x7ed946e2, 0xc60d0574, 0xd5270407, 0x5e41adcd, 0x44a06cf0, 0xc02fbb97, 0xb6b1f7c8, 0x9f6ef8d4,
+    0x34e57108, 0xbc354383, 0xb5485e20, 0x5b78df5c, 0x5cb8cca6, 0xe41e6638, 0x96152259, 0xf4a20f3a,
+    0x1d6a9de1, 0x85e95a48, 0xac559a7f, 0xd6135481, 0xb7af1177, 0x847c630f, 0xbd096bed, 0xa7d927be,
+    0xe93e51d2, 0x26b65c28, 0xa748a1d4, 0x6b358471, 0x2f8658ee, 0x6ec5344d, 0xdad89a1b, 0x918a6107,
+    0x4f2a2057, 0x7f4199fb, 0xbec9085a, 0xd743a801, 0x7c1411ef, 0x9f8f6ebb, 0x6ddc1b75, 0xaba463f9,
+    0x5a7a5584, 0xf616b9c8, 0x6fa775e6, 0xb9d0f6db, 0xc2d77f6e, 0xd3d92a58, 0x59eac1a8, 0x9d4d2167,
+    0x28854645, 0x56ae3536, 0x77ca8098, 0xc5093ed2, 0xe7536e86, 0x7c3df72e, 0xea16dcf8, 0xcd835d86,
+    0xdde64b77, 0xf04d4478, 0x8b1f811e, 0x5a0fbcda, 0xc68fe110, 0x3660c3be, 0xe82d76b1, 0x77f77c42,
+    0xd1b618db, 0x21a4eab5, 0xe4da69a3, 0x27303bb1, 0x98eb9bf3, 0x2337f50c, 0x7799733f, 0xb49b7ccd,
+    0xab835b5d, 0x256f9a0d, 0xf1a44a41, 0x79384d18, 0x54273c4f, 0x0a2d0d61, 0x3d2f53d1, 0xf2684c91,
+    0x8c3975e9, 0x7982f1a9, 0xc8ef0024, 0x54a097ea, 0x74529e74, 0x5f9ad64b, 0xe7df3e47, 0x471f584f,
+    0xb173408b, 0x2b4e6999, 0xbdfc7c9a, 0x07ba3659, 0x6f1bc9f2, 0xa7f42b26, 0xd5e93464, 0x190c8a65,
+    0x0c933652, 0xf9768d60, 0x6771d826, 0x39c01ac9, 0x5a69b71a, 0xa4c36428, 0xce85bfb1, 0x440a04c5,
+    0x7864cab1, 0xea86bcca, 0xd4bb5e56, 0xb5474f6c, 0x24ae98e4, 0xdbe6b87b, 0xa3603d92, 0x185176d9,
+    0x9b9122be, 0xb112d796, 0x735ea751, 0x3a58a2ab, 0xe6e6e231, 0xaf05fb5f, 0x28ca098a, 0x2b911691,
+    0x11aff5ea, 0x3643ea9c, 0x8c53d9dd, 0x35fa6e00, 0x91c19a6f, 0x59c2439a, 0xccca1024, 0x5128cb73,
+    0x53732191, 0xe8ba9476, 0x048e1dd3, 0xd827b4fc, 0xc2de75bb, 0xb29b1bf8, 0xa2715df2, 0x4caf3059,
+    0x3c5319ee, 0x19716878, 0xd2cd8d1e, 0xc1465afe, 0x3f0a0eaa, 0x0107a001, 0x03de45d2, 0x9c8d2e33,
+    0xcfab94cc, 0xa7d3c043, 0x937d5fa7, 0x7381a3ff, 0xa820e61d, 0xa6d54530, 0x58ed838c, 0xae135db5,
+    0xeff8ba43, 0x83e26b57, 0x6ad5e26c, 0x2dfbaaee, 0x83bdbc49, 0xdb26d2fa, 0x6b3200b3, 0xda866f01,
+    0x00000000,
+    0x9729533e, 0xd7b92015, 0xb42f5850, 0x92faad8e, 0x547ce8f8, 0x943f7a77, 0x9e167419, 0xdab2020b,
+    0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x40000000,
+    0x00000000 }, /* 10**00000000000000001860707134196753639806268948193291607945321883359534234320614\
+                         90990243657757029868371504908982723472783555205531204141550984858016925351936 */
+  { 0x00000000,
+    0xb2b9aefa, 0x2db99ea8, 0xf0f45619, 0x847f0124, 0x6201a031, 0x15676dff, 0xb521db40, 0x9becdf52,
+    0x01bffd82, 0xd0169b71, 0x9410f148, 0xb5748a40, 0x0b0e66ea, 0x563d3b25, 0x1f243b7c, 0x5ec39009,
+    0xf58db805, 0x3c14fa35, 0x2c9e7815, 0x97c3d427, 0x8f1a7bb2, 0x7f45ab2e, 0x01e980a7, 0xa48c9b92,
+    0xf608e562, 0x0af2dbb8, 0x833dae66, 0xaf23f234, 0xc79aebd3, 0x86eaa6f9, 0xdebe4034, 0xddc5c648,
+    0x5575d93c, 0x8b53af57, 0xc09a6678, 0xc6941570, 0x6f23ffc7, 0x19984259, 0x60858052, 0xbf4a6a61,
+    0x1065903d, 0x5f504e21, 0x13dd918d, 0x7f5badb7, 0x18e18928, 0xa3c3c65f, 0x98a749ec, 0x7ff22ccf,
+    0x5ba4bc80, 0x3aee7d7c, 0x096b77c3, 0x3fee94f5, 0x288c17d8, 0x3e545d84, 0x102ccd61, 0x396482c6,
+    0xec3cb7f2, 0xa18c72ed, 0x561f5a07, 0x373aa2c3, 0x99f6faa1, 0x5885f591, 0x7a8517cb, 0x6083529c,
+    0x962f4db4, 0x897bbffa, 0xed3b9452, 0xdb07a214, 0x4d014570, 0xf8ee2227, 0x3c91f479, 0x342e9fc0,
+    0xfeb220e5, 0x2212d640, 0xdff944e0, 0xcc14a5df, 0x42938a98, 0xff968335, 0x6ba37c32, 0xc4dc79df,
+    0xda5bf2f6, 0xab5223b1, 0xb5b2bf05, 0x7bb02ed6, 0x55e9463b, 0xca59e34e, 0xadb90a7d, 0xb2f20035,
+    0x080c11d6, 0xe593ebfd, 0xa5bd6b39, 0x00ec10fb, 0x6b3b4f85, 0x1c4b77e8, 0x0d921e27, 0x51542a96,
+    0x549f2c70, 0xb1813cbe, 0x1ff25ab6, 0x81bb2a67, 0xe1050f82, 0x7e34e92d, 0xfcfb3775, 0x41e228b3,
+    0x20c883b6, 0x15586c9f, 0xa4e489a7, 0x70a5a284, 0xeef30044, 0x2823a3c3, 0x6327df91, 0xcbb0bba2,
+    0xcdb7ee08, 0x5f4cc31d, 0xf9c501eb, 0x880c979b, 0xcf9bc435, 0x6e7a758d, 0x001f207c, 0x9afc3f4f,
+    0xdb670d9d, 0x117b935a, 0x62f3ca31, 0x846e3ea8, 0xe105f5e4, 0x2924e581, 0xec6e9edd, 0xfc2f3766,
+    0xe39a7712, 0xd0febf38, 0x5b154c99, 0x3f170dd1, 0x66fb11fd, 0x8ba32598, 0x678fcaa8, 0x505b2ab7,
+    0x771c89a5, 0xc30bfd2c, 0xfac86cab, 0xb5592733, 0x1c15c846, 0xc192a8f3, 0xab07a14a, 0x501c690f,
+    0xcfc6e0cf, 0x4125e45c, 0x83ce6439, 0x1363d3db, 0xafbcd0d7, 0x2658615d, 0xad2438b4, 0x36fc8f6e,
+    0xa9751136, 0x265799de, 0x67fce9eb, 0x6bed1c46, 0x0d2b11bf, 0xf3c95020, 0xfaf0febf, 0x2c534333,
+    0x920dc15a, 0x3e319cd8, 0x1f893190, 0xc54ba9bd, 0x43c3c87d, 0x3849cadd, 0x6f3a9bba, 0x775656ff,
+    0xa22dff25, 0x11e751e1, 0x34df1fbd, 0x7fc315e6, 0x4d8318a0, 0x26f8bcb7, 0xbffb729a, 0xd1bc174d,
+    0x898f9c13, 0xd4459f19, 0xeb8aac40, 0xa5cd2596, 0x388e5dfb, 0x71db7c5d, 0x37b5086e, 0x0c43807b,
+    0xabcadb04, 0xde70922a, 0x2d9b6c2e, 0x75dd4b26, 0x8b1e7d76, 0xfc058a7b, 0xaca165eb, 0x58669a08,
+    0x31b06d3d, 0x8e4abdc3, 0x890b0cf2, 0xc95d3462, 0x1a668b64, 0x336ccddc, 0x7bfe3826, 0x3a6f3bee,
+    0x53adf558, 0x31787c75, 0x2e785611, 0xdfe3585b, 0x24cdd769, 0x8de5afc5, 0x93867e32, 0xf476630f,
+    0x9e63e9d4, 0xb71e0d6b, 0xc77bb86a, 0x64991830, 0x072e1058, 0x0913720b, 0xfe1bf73c, 0x49559647,
+    0x13c44e7a, 0xa1cb588d, 0xa7f053cb, 0x35093b6f, 0x21a1fc17, 0xad654b89, 0xe2dac9dd, 0xacbb4881,
+    0x85110287, 0x3ea80899, 0x3b048ba8, 0xf7d07e5c, 0xcbfe11d1, 0x986bf0a7, 0x86432ca2, 0x12674f30,
+    0x7615b4ad, 0xd752a6af, 0x50624890, 0x0e428436, 0xa8f33576, 0x87e6a253, 0x459b41b9, 0xb7b2f192,
+    0xda517400, 0x63806b09, 0x9d2ef40c, 0x02e13a04, 0x37432f98, 0x058399e9, 0xcf43a34a, 0xbcf887d4,
+    0x8fa81006, 0xccb88c00, 0x1694e1cc, 0x319a759d, 0xaa6b3ab0, 0xf1f41019, 0x7986d374, 0x45324db7,
+    0x407205b6, 0x672cd8ab, 0x35290285, 0x3a483e1b, 0x3ce7ce4d, 0x5da4d64e, 0x51557535, 0x7f095cfc,
+    0x2c6d590d, 0x9e7f475e, 0x94895ec4, 0xa9c2338b, 0x34e5e8f6, 0xd95da647, 0xf55d757d, 0xccbd0a9a,
+    0xdb71f8b4, 0x92eb89e3, 0x160f0dd0, 0x83fc9d14, 0x4ad574c5, 0xae38f69a, 0xd410e6b6, 0x035cbc13,
+    0xa4f16a79, 0xace09101, 0x9c8f1ec4, 0xbd83c727, 0xdcdbb388, 0xf9750b7b, 0x4c3003b5, 0xbace0a07,
+    0xfac54d84, 0x9f9cd210, 0x8c265d4d, 0xf66acc34, 0x24fe57c4, 0x4c28c6e3, 0xaf847e58, 0xbfc627c8,
+    0x8d371a0f, 0x1728c6d4, 0x06543e68, 0xe77a8d86, 0x01ef1aca, 0x915d002f, 0xa2833175, 0x5d472f76,
+    0x12dd6ec8, 0xc1bc6ede, 0x7b1db006, 0x5dbb897b, 0xa831216a, 0x1a9bbbf4, 0xff05b75d, 0x5728fd64,
+    0x0fb3addd, 0x15ca2ddf, 0x37c30c4e, 0x9234b6ad, 0x978fdfd6, 0x32e9d93d, 0xcbf0ac99, 0x42387c0c,
+    0xa595da6d, 0x10442e18, 0x782f35a2, 0x81357d8e, 0xac92808e, 0x24e747ae, 0x4bd8ea87, 0x1e5faaba,
+    0xc44fe4f2, 0xf99f58df, 0x33e19676, 0x81c1d2c5, 0x81bd5709, 0x702ebf4b, 0x45e966df, 0xe44d3a7e,
+    0x9de5da02, 0xb576276b, 0xc31eaad7, 0xcb90d140, 0xfdc4bb40, 0xbb39e585, 0x60df37fd, 0xbab67c9f,
+    0x84b23577, 0xe3c971ca, 0x1de170db, 0xdc804c67, 0x1d958280, 0xe5ed88e2, 0x2a360731, 0xabe1c66c,
+    0xe8be69f5, 0x47e9b5c6, 0x262bd91e, 0x1cace9e3, 0x6a389bed, 0x28c46e55, 0xf6d87984, 0xb393408f,
+    0xda249e6d, 0x35236a0f, 0xde6f8bc9, 0x74e46bbf, 0x48dd968a, 0xe5c064f8, 0xb1517748, 0xabf256f6,
+    0xf59150b4, 0xbb20b6a2, 0x1c781a59, 0x913c14b2, 0xb1b3844d, 0x24bbc38e, 0x6b9a9401, 0x0c0b0483,
+    0xb95d77c6, 0x5fd5126a, 0x73e703a7, 0xcf8a5ef6, 0xf7a80954, 0x08f5943a, 0x8e0555fd, 0xadcbc90a,
+    0x42dfa676, 0xc23de130, 0xa23306eb, 0x39422bfc, 0xa203ba27, 0x4ddcf6c6, 0x8b9253c0, 0xd49abfdb,
+    0x7d215f6d, 0xa3045048, 0x88feb5a1, 0xd596940b, 0xda9e6fdb, 0xa5fc5fa7, 0x1bc4b5b4, 0x3656a5bd,
+    0xed14e4a9, 0xc83cb84e, 0xb5923d7a, 0x191360b3, 0xf6550914, 0x2a62d7d7, 0x0b079cfa, 0xcd738c4b,
+    0x31c3050a, 0xc21eca9d, 0x3b6472c6, 0x623679f6, 0x3c58494b, 0x8cc42024, 0x9d5509d7, 0x7acfb964,
+    0xa6baf61a, 0x8cd89656, 0xcda88dbb, 0xe303292d, 0xb36f1088, 0x2e994c72, 0xe5a4b261, 0xc8c4b90b,
+    0x4f06b959, 0x5da69748, 0xe4a7149d, 0x91eec006, 0xad57e9f4, 0x91018961, 0xd4acf8d1, 0x7903d1a4,
+    0x1501cd46, 0x54d118e9, 0x11dc9161, 0x1b7d6716, 0xedff388a, 0x5051b1d0, 0xef5ae232, 0x218c7875,
+    0x0f8ea455, 0x3ca349cf, 0xe8b75933, 0x209551ee, 0xd0180530, 0x42acdc3a, 0xec48d13a, 0x749fd6e0,
+    0x4858a1bf, 0xd7e368e5, 0x26acfa4e, 0xba760e6e, 0xd3edfc73, 0x7d2d015f, 0xb083c855, 0x08fdd757,
+    0xf767e34b, 0xb50ee461, 0xaf2889e3, 0x1a1add15, 0x75a4340e, 0x936b5e7a, 0x26cb37d2, 0xab69ce8c,
+    0x54949390, 0x48ca5501, 0xd1a87e4e, 0x961ccfdd, 0x81e72cfc, 0xfbf8c4cd, 0x36ac7427, 0x284eeb3d,
+    0x5da3ab0f, 0xe7dc6d00, 0x37e9b9af, 0x11dd48c4, 0xa587da84, 0x3a2c8679, 0x8586a058, 0xb0fdc0c6,
+    0x54377a05, 0x04242dc0, 0xf2419171, 0xe188df97, 0x10b9e19b, 0xbc1fcff5, 0x1c734f13, 0xd908352d,
+    0xcf9dc52c, 0x87836ef7, 0x84b6fde6, 0x86f1f20b, 0xc6e35ac3, 0x027a440b, 0xa3c3721c, 0x62e95f85,
+    0xe51917f9, 0xcb486180, 0x10d6c803, 0x467c5c4c, 0x82eabf22, 0xcb9897a8, 0x813ef442, 0x8ff885ea,
+    0x4f9089f3, 0x6ee33819, 0xa155c665, 0xa03114ca, 0xbc4b9ea6, 0xdb78fb1e, 0x3ba327bb, 0x817f5af6,
+    0x54d713cd, 0x6074d96b, 0xff52c272, 0x7958e9f9, 0x7d770d18, 0xa50334b1, 0xe83c0da2, 0x7c42e402,
+    0x2c366a25, 0x45f2e009, 0x0565e497, 0xa4cb2faf, 0x3949ade3, 0x02b37bab, 0x0fb4e9c4, 0x2bc28657,
+    0xa681679f, 0x32ff8f5e, 0xd20125fa, 0x8d624774, 0x96bdf9a9, 0x8ce6d7d5, 0xd30daff7, 0x16b44748,
+    0xe3129c38, 0xa24d7dfb, 0xca0cd9f5, 0x0cb2e82b, 0x582c021c, 0x01bf619e, 0xe3c3d86f, 0xf953687d,
+    0xf01ab273, 0x004feeb6, 0x643e5e47, 0xffe7dc01, 0xf8d4c5e9, 0x46cf931e, 0xe8e6f661, 0xbc5fc781,
+    0xd8f5004c, 0x230e9e25, 0x765c328c, 0xe16719a6, 0xde9ff0cd, 0x55bbe241, 0xcb8c7f38, 0xc866dcaf,
+    0x23a7ff0c, 0x88bdae05, 0x653d1000, 0xd14cec22, 0xb07e9199, 0xe89bb69e, 0x9770376b, 0xcc2c1934,
+    0xfaff0bc3, 0x0cfe5a8e, 0xf27339d4, 0x7c4a84bb, 0x841c71e2, 0xd8c0265a, 0xb3c81488, 0x07de0e15,
+    0x4e428c83, 0x1ffc0d38, 0x503ec122, 0x0f52e781, 0xdb6a2861, 0xb404333a, 0x74d85a49, 0xa374559b,
+    0x55f296d0, 0x8c237cb8, 0x3530e3ab, 0x32f17670, 0xc34627a2, 0x4d3471d4, 0x2ea2f707, 0xec48140e,
+    0x753cf0b5, 0x1294569b, 0x043eb21a, 0xa4b386cf, 0xea55fcd8, 0xeb373c38, 0xefce49d8, 0x601d7641,
+    0xfadd703c, 0xc7f09047, 0x2a69c19b, 0x285aab8a, 0xcd562de8, 0x1d659eb1, 0x60d30ef1, 0x7fe9729a,
+    0xd301895f, 0xc2c02fca, 0xb85e7bc9, 0x4d6835a5, 0x8498847b, 0xe5cdaf41, 0x275bd865, 0x047b7688,
+    0x436f14e8, 0x6b54e370, 0xea908666, 0xccd453bb, 0x56cd28fc, 0x2c89aada, 0xbfcfb246, 0xaebf0cf5,
+    0xaf6ebb6c, 0x0d461e23, 0x5a383af4, 0xa8fd0305, 0x11a62099, 0x5e56c010, 0x27b633f3, 0xb9df213e,
+    0x0098620e, 0xdcf0564b, 0x22dc30cb, 0x726ac1be, 0x48ba5621, 0x665baee5, 0x54f5d548, 0xdea4215e,
+    0x315a2419, 0x14971d58, 0xad0867a1, 0x494f8a35, 0x6718443d, 0xcf98c74d, 0xae90e22a, 0x4b5f930b,
+    0x6302ec16, 0x5abbc57a, 0x14ae6889, 0x8dc3caeb, 0x17d3435f, 0x200f55e6, 0x5787c98f, 0xdf333f1f,
+    0x3915ac0a, 0x63e62d56, 0xad79009a, 0x5213a262, 0x89f72e0b, 0x29901efd, 0x66ae150a, 0x955501b5,
+    0xfe912194, 0x9fa452de, 0x2011b896, 0xf77c7000, 0x382e3419, 0xb150cb85, 0x9e7d02fc, 0x6d7da0c9,
+    0x728d311f, 0xcb326fcf, 0x3619d002, 0xaa866590, 0x73f00310, 0x394ee719, 0x82dbfe9f, 0xd45d6654,
+    0xbdeb0a0d, 0xf8d136dd, 0x0a9d9031, 0xa5a3b47c, 0x2e89a5a9, 0x19805e9d, 0xdfc4bb2f, 0xdc012aa9,
+    0xe2eb5ad0, 0x3e3c1f56, 0x13d1e062, 0x139c291c, 0x5010c58b, 0xd2ec0248, 0xa8c23a74, 0xfccc1c3a,
+    0xb5a874be, 0x0bf809db, 0x9594546b, 0x5cc059a0, 0x3bff648b, 0xfbfc2842, 0x993ba36e, 0x40c755ed,
+    0x43a3fa7e, 0xe14dd849, 0xecce8417, 0x516d1657, 0xfc41c2aa, 0x1ff9d3b5, 0xd9e328d3, 0x30070d6d,
+    0x8502a5a3, 0x4c83db4e, 0xcbd03eaa, 0x2005f1b1, 0x264ff5d0, 0xab0337f5, 0xa63d43c3, 0x20bc946a,
+    0xf4fe2b9f, 0x86625cf6, 0x6124decc, 0xc7a60270, 0x60198c8b, 0x9ee7b079, 0x76aea2a5, 0x6af3bf53,
+    0x3d3aa382, 0x785cc5a4, 0x08a8d4a8, 0x624fb00b, 0xa9e4e7eb, 0x0d624d40, 0x2234ab06, 0xc03a2e4c,
+    0x5081f3ab, 0x54ac041a, 0xd9688c13, 0x7732bdb5, 0xaf2aa3dd, 0xc0126a4c, 0x3e4ebd5b, 0x4be8cb9e,
+    0x66cd141e, 0x0768665a, 0xc5de7e70, 0x31e8b6ed, 0x49db1058, 0xec2567b1, 0x9d64f0ac, 0xd41ae805,
+    0xea88b0a5, 0x18a685f7, 0xdd44219f, 0x4f6fe3eb, 0xedc5599b, 0x40ce1596, 0x9cb63e98, 0x6b335836,
+    0xd32c5315, 0x19cd6a46, 0x3dd4bbd6, 0xabf90420, 0x8c51a5c2, 0xc510c37d, 0x773ce0a4, 0xf4de1303,
+    0xf73c19f7, 0x684d9dac, 0xbcd0822f, 0xd75b75b8, 0x3fc75ea8, 0xa8ecec48, 0xb113d673, 0xdf362765,
+    0xc53cb72e, 0xe88a307c, 0xb089524b, 0x35a6e4e3, 0x1097779c, 0xaf25cbae, 0x4bb8970c, 0x4c468ad7,
+    0x68848344, 0x64d28be3, 0x889219d1, 0xe66a50e6, 0xbe08cf3b, 0x3e641dbb, 0x7269c51d, 0xe1005d0c,
+    0x1c34f108, 0xab187cf9, 0xde123d8d, 0x4d061c57, 0x37ae5da9, 0xc452bab1, 0x5b3ae66c, 0x9c747633,
+    0xf3a53dd5, 0x023b95e0, 0x515ee3a5, 0xc3cf5a4d, 0x3e700729, 0xe3d167f4, 0x7a72b29a, 0xe8a50e13,
+    0x85332b0d, 0x76cd0cea, 0x600aa142, 0x09716785, 0x87fa52b1, 0x529b2aab, 0x8195a3da, 0x035d34c9,
+    0xba1427d9, 0x6437a003, 0x862e2d96, 0x8ea15b56, 0x415aee93, 0x72fe38fe, 0x0e5af92e, 0xd9339013,
+    0x99cc537c, 0xb3841dce, 0x8a33343d, 0xca151c1b, 0x3729c115, 0xeb54d3c5, 0xaf987c7a, 0x5fc9eba5,
+    0x4105d84a, 0x089e3bcf, 0x40d1e14c, 0xa7112b0d, 0xe5b6b7dc, 0x33dbad3a, 0xaa69c8e7, 0xc3cc594a,
+    0xa5c6d133, 0xeb11c285, 0x7c3b3040, 0xf3ade682, 0xfd13e4e1, 0xcec05272, 0x23181689, 0xba09edfa,
+    0x6932140d, 0x8c3dbc7a, 0x6c3db5a6, 0x48c1ad57, 0x800fbfd3, 0x72551916, 0x677f99a7, 0x717ee450,
+    0x8b760cb5, 0x390c38d4, 0xd133ad63, 0x06b194e2, 0xb8b4a297, 0x0a3d4bf3, 0x8e134adb, 0xee3a8f73,
+    0x40e0759c, 0x7f54fbb0, 0xf56b158e, 0x893fa9ca, 0xdee92482, 0xbe08fc1d, 0xa9086804, 0x8830c7c9,
+    0xabc64a1e, 0xf1ae2824, 0x796175be, 0x2e67ca2f, 0x5a460b68, 0x85f68d01, 0x0aedb5a8, 0x156fdff4,
+    0x8f5e8d0c, 0x93e1badd, 0x4c78b320, 0x8c4414da, 0xafc086fe, 0x77d900f0, 0xb6886c82, 0x4e1a51f4,
+    0xb647e314, 0x8619aa64, 0x7fda1331, 0x2bc50f65, 0x259fa836, 0x64399a45, 0x9b93aa8b, 0xf59a3407,
+    0xfb2d4f89, 0x09f80b2d, 0xaf5e48b2, 0xd297c54f, 0x4e685b54, 0xc6365252, 0xefd7b03f, 0x89b33157,
+    0x951ea161, 0x18d06292, 0x802749b0, 0xf065425f, 0xe5ec45cf, 0x4d6aa9a3, 0x1f0af11e, 0x868aa3d0,
+    0x322c2889, 0xcc5af1a7, 0xde29596b, 0x2225b96c, 0x9978c5bc, 0xf7bfd1a5, 0x0d87fbd6, 0x6d326234,
+    0x63661382, 0x84914316, 0x7f4f5cf9, 0xeda56c83, 0xfac17b4c, 0xc049d3a7, 0xd402a8f3, 0xee81a838,
+    0x2d135356, 0xa75c7c5d, 0x7b7d2d3a, 0x3a72f0c7, 0xbcf130b6, 0xd6c4660a, 0x48fefa18, 0xea8eb621,
+    0x2d7ea041, 0x8475dd9e, 0xa5594732, 0x3df2e0f6, 0xc735f245, 0xb7160499, 0xa3953007, 0xaaaba8b3,
+    0xfa1bb22a, 0xf19af624, 0x8e844138, 0x59b254a6, 0xe5047d62, 0x87aa972b, 0x6bafb6f7, 0x1fe6645e,
+    0x8a5739bc, 0x0b67d2a7, 0x79bbb2c5, 0x3b6e9f99, 0x81d3b896, 0xdcfc330a, 0x816230eb, 0x09bbd208,
+    0x1d089ded, 0x1292d359, 0xd9b00653, 0x560cf4fe, 0xc409470c, 0xfacce480, 0xe6008fd3, 0x2951d4f7,
+    0x99e90150, 0x4f53fd7f, 0xf5bb291d, 0x7a7d4f8f, 0xc9959807, 0x15206b9f, 0x33118b31, 0xa1ed3cba,
+    0x34d05691, 0x04e5ec77, 0x757f3a05, 0x86ca0c78, 0x852d47c5, 0x6183aa62, 0x35dc5043, 0x89d0e18e,
+    0x8131f279, 0x97551ca6, 0xf26b0a4c, 0x25e995c0, 0x9b180445, 0x6f9ebc11, 0x071bd613, 0x79e3f7f8,
+    0x9bdb9bcd, 0xfc75cb56, 0x3b78d7da, 0x36a84a4b, 0x32afc508, 0x5898d76c, 0xcd2155b0, 0x236d341f,
+    0x737115f0, 0xaef2953c, 0x636ebfbb, 0x7cf94beb, 0x7a83b4b4, 0xdcb311f4, 0x5fd8b2c6, 0xec8582ea,
+    0x00000000,
+    0xcb94a99e, 0x6bdc900a, 0x5a17ac28, 0x497d56c7, 0xaa3e747c, 0xca1fbd3b, 0xcf0b3a0c, 0x6d590105,
+    0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000930353567098376819903134474096645803972660941679767117160307\
+                         45495121828878514934185752454491361736391777602765602070775492429008462675968 */
+  { 0x00000000,
+    0x08c46435, 0xab85a623, 0x8efea7b2, 0x13615032, 0x75f516d8, 0x217dd203, 0xceded955, 0x17eff80d,
+    0x438c6720, 0x0716a1d2, 0x07a9751c, 0xf839409e, 0x542a83d8, 0xd5c42e79, 0xfb99367a, 0x03568f7b,
+    0x6c77eb9e, 0x8df361af, 0x84ececea, 0x4350df58, 0x805e463f, 0xe879d7fa, 0xcb2bffa4, 0x20f9f60d,
+    0x2f2ca55b, 0x5c3a1487, 0x58393534, 0x625356dc, 0x74c23a95, 0x3ae02970, 0x0abea385, 0xd8644955,
+    0x225735d5, 0x80ba2adb, 0x1cb1a9e5, 0x62174b2c, 0xcce7f72b, 0x6f5b0bbd, 0x4c654128, 0xbe93abfe,
+    0x2c967321, 0xe435bedb, 0xc33b5f52, 0x12cc73f9, 0x09f2dc51, 0x4b81bdef, 0xb9fb3cee, 0x273dc536,
+    0xacef9976, 0x9d90ff23, 0xaaa19b49, 0xf857acca, 0x84cd5fc1, 0x5af74ef0, 0x4649fd24, 0x3803ade3,
+    0x71640621, 0x98c2e6a5, 0x3d6c2ded, 0xafe58929, 0xbdbc4715, 0x368c2714, 0xb7aac981, 0x8c83f7c6,
+    0x30d913f3, 0x81311cfa, 0xc032f56f, 0xee6f6bf8, 0x209215f1, 0xd9f4bf7c, 0x0d88e767, 0x1c2c7c42,
+    0xbe6c48b1, 0xb84595e4, 0x71bfc494, 0x0a53e335, 0xbf8ff454, 0x80904aef, 0xa9f3fd4e, 0x8fd09608,
+    0x36e3ddca, 0x25d9fe33, 0x153e34dd, 0x6ef8cf59, 0xf433ad08, 0x1317f072, 0x0030b150, 0x1a846f05,
+    0xa0b06737, 0x86e8ea22, 0xa3653265, 0x350526ee, 0xa8c2616b, 0xa705bd80, 0xcb46aa3c, 0xb09ba0cc,
+    0x90045d6e, 0x5fb5818e, 0xc2d614a4, 0xf4c42271, 0x74803396, 0x4c04b9bb, 0x42d9c989, 0x82cf0414,
+    0x447c6b7d, 0x17b726a2, 0xcc224609, 0x55dc798e, 0xa7e3139d, 0x866ea51a, 0x026178cf, 0x964d8811,
+    0x3019e9fe, 0x88e4cccf, 0x0128f819, 0xe0cab491, 0x33f68948, 0xf9e43511, 0x2903617b, 0xfd4c7546,
+    0x4a9205b2, 0x9e198806, 0xe16a116e, 0x62a98828, 0x85239553, 0x6657c239, 0xe7462d02, 0x80e0bfcc,
+    0xff36a07f, 0x22abaa06, 0xc8590f4b, 0xdc2c6614, 0x0970798f, 0x4f37d6f4, 0xbde8e638, 0xa43b795f,
+    0x10779839, 0x9f2610d5, 0x78b995e1, 0x11a79570, 0x69d0ce09, 0x96fd0d2c, 0xfe2668d1, 0xb7caf359,
+    0x61a27226, 0x4149d07a, 0x53a46864, 0xd513d7f0, 0xd576f655, 0xebb4e859, 0xaacc2b7b, 0x6d2c7a7e,
+    0x61d76b57, 0x24e5819d, 0x1a05f89e, 0x33e6458b, 0xa1de988f, 0x9d5826c9, 0x8905203e, 0x46c03370,
+    0x005bd060, 0x07ee54d1, 0xd37720a1, 0x3f39121a, 0xa08c3ca7, 0x25103e05, 0xbfc86ccb, 0x6a71e1fe,
+    0x6592c19c, 0x0cdc04e9, 0x92ed9edb, 0xb6129085, 0x0e99c1a2, 0x6589fb6e, 0xed639776, 0x7989400c,
+    0x8409cb1c, 0x797d1852, 0x34ca904b, 0x11254273, 0xea9c7c37, 0x5edf654f, 0x15b473d7, 0xee8deaf5,
+    0xa26af6c3, 0xbea742de, 0xd1916ec4, 0xc158f3e7, 0x7f7cd3f2, 0xdb399ebc, 0x43c7fc8e, 0x1903e6d9,
+    0x75f1cce1, 0x2ef97be7, 0xa5549610, 0x58e4006f, 0x28a9c90e, 0x1a557cef, 0x62b4195c, 0x2c26bdc2,
+    0x809f06b5, 0xc2b4b5ac, 0x09d83dea, 0xb38c3cc6, 0x6ab787e7, 0x4b490038, 0x6cb3734e, 0x7944c98c,
+    0x05796cfe, 0x407cb999, 0x42ef884c, 0x79d7a1a3, 0x71ba4204, 0x86e988a9, 0xe20fb247, 0xcf27ae4a,
+    0xb97f973f, 0x52b77437, 0x676efd32, 0x5146954f, 0x6ce2137c, 0xc55c20c3, 0x977bd8f8, 0xa7226912,
+    0xcf1f676d, 0x34f3b339, 0x32c18bd4, 0x2820b759, 0xa8445a81, 0xb2b99d02, 0x19bcf903, 0x295b1754,
+    0x46c14161, 0x8b89d7d2, 0xea986de5, 0xd66ada19, 0x6fcf8bfb, 0x50f007ff, 0x1a60fdbb, 0x4e7520e0,
+    0xf622289e, 0x5ff0a725, 0x5203d1b3, 0x37434efc, 0x2c42ca08, 0xdadd0d42, 0x6b87494c, 0x56658eac,
+    0xd0700823, 0x61d53cba, 0xe54e56dc, 0xfdff2d73, 0x151a4808, 0xbc886ed1, 0xdd69de4b, 0x65049670,
+    0x305a548c, 0x463783cc, 0x34d14fb9, 0xb6f9d943, 0xcd27ab9a, 0x554e31da, 0x1403cfc4, 0xa7579197,
+    0xcde37f5e, 0x7c5dc702, 0x9645f88b, 0x06ab56c5, 0xbf313042, 0x9f6f3225, 0xea03b92d, 0x6aaefff3,
+    0x260602a1, 0x5ec7cd3d, 0xe5950cab, 0x4ab2cbdb, 0xc8b21289, 0xed96511e, 0x21a2a2fd, 0x0317c2ae,
+    0x3456879b, 0x6a14036f, 0x02b6e7d6, 0x4afbb263, 0x8fe3249a, 0xa16b3ec2, 0x74f4183f, 0x83df55d1,
+    0xce7cdd9b, 0xa062f4a1, 0x72c5218b, 0x4183b010, 0x88f24dec, 0x4c6cdb49, 0x738742c8, 0xfbccea69,
+    0x22d0f411, 0x7e8c6699, 0x100e8cf7, 0xe317e225, 0x5fc971c7, 0xf93a72c0, 0x161a4d52, 0xa02cae9b,
+    0xd9250065, 0x8e7f4d84, 0x6badf310, 0xdcb7374c, 0xe6ca183a, 0xc754eaa2, 0x5f0ee9ad, 0xf3241d32,
+    0x3772f022, 0x5fa1b25e, 0xb8eb4c2d, 0x65e15b8c, 0xe4606325, 0x36bf069a, 0x09ba4a4d, 0x5f3cedc9,
+    0x2b12ca23, 0xc404352b, 0x0cb8c927, 0x66bdd982, 0x6050982b, 0x4f1a42c4, 0x9b4745f4, 0xc3194065,
+    0x000fc950, 0x7d2de472, 0xa015dccd, 0x8acbb86a, 0xbaa8d36a, 0xc55e5189, 0x3c306f59, 0xd830c2bb,
+    0x957e2ef5, 0x3a8f5171, 0x2ef12984, 0xaf8b52ff, 0x15bb36a1, 0x7c36038c, 0xa2763624, 0x29561373,
+    0xa4b36447, 0xa48a3f67, 0xfb092212, 0xd8cb5250, 0x39dae014, 0xfde11849, 0x98437ae2, 0x4efe1815,
+    0x2ad28271, 0xc2eec65f, 0xc25f34fd, 0x6e4fff32, 0x171b1d14, 0xd0e220f7, 0x9f84b34b, 0x3b112a2f,
+    0x610d0690, 0x61a2cdf5, 0xb5507ac6, 0x88b0a916, 0x75bc6852, 0x59a646e0, 0x919077fe, 0x7e7345c9,
+    0x06d5b02d, 0x95659bd0, 0x9449732c, 0x2ab339c7, 0xe4631d75, 0x8cd1434f, 0x4edc35ee, 0xb5263bd2,
+    0x1536e239, 0x8676c85c, 0xcb21a5aa, 0x6fe4f726, 0xa1fda090, 0x74f3671c, 0x5ba38290, 0x86f05355,
+    0x4862057b, 0x541f2cdb, 0xa8c10a70, 0x4666efa0, 0x79223f0d, 0xdbf5f88f, 0x6e3d5113, 0xc8cbeb4b,
+    0x8c881625, 0x94ddb932, 0x91547fbb, 0xc8b40254, 0xeb6c5a0a, 0x49b735ae, 0x28e3db99, 0xd6d6fc78,
+    0x50e085ad, 0xf444ba1e, 0xafa36819, 0xcfc83fc4, 0x6784ff5c, 0xba6dea6c, 0x117172be, 0xdf42e9ca,
+    0x3319b39c, 0xa84b8c62, 0x0648ff4f, 0xd6c75f21, 0xb3bd2ad2, 0x97b52799, 0xd4ae327b, 0x6745f380,
+    0x573eb629, 0x94770940, 0x842d8110, 0x59200a5e, 0xb58c63e2, 0x7cea27de, 0xd9d6ae00, 0x881a0c27,
+    0x5332dcc1, 0xbc52be31, 0x45f37490, 0x3457e2a2, 0xba8c2d3b, 0xf5c82aec, 0x8ba0577d, 0x362cf0b2,
+    0x5c34c3f6, 0xb12443d4, 0xbff960cc, 0x3af8e675, 0x453bfc3d, 0x8e02f088, 0x866379f2, 0xa218c89f,
+    0x4692c54c, 0x821e1450, 0xf542fe8b, 0x52f2a356, 0xaa422763, 0xbe58db79, 0x702567a0, 0x7f4e8ebd,
+    0x9a7c66d8, 0xf27485b2, 0x98664a8c, 0xb074db85, 0x132821bf, 0x1f22480a, 0x70ba111e, 0xb399f717,
+    0xa0e286d1, 0xa3b2dda4, 0xb4cdc8ec, 0x684c678d, 0x0d066242, 0x75cbd3ad, 0x5ebdc760, 0xb3544962,
+    0xd9c7ce02, 0x6a89a24b, 0x3c1c73de, 0xa985212c, 0x9b848912, 0xf5a6baa8, 0x047ce237, 0xbfeed704,
+    0x6af358c9, 0x8ba532cf, 0x89a661ed, 0x08332805, 0x9336260b, 0x497e7515, 0xf5b8686a, 0xc68c83b5,
+    0x754a523c, 0x8014eeba, 0xbbb3c226, 0x3025f85a, 0x7de4a7aa, 0xf2b0c858, 0x67e33c5d, 0x0a33a96f,
+    0x9bf607fb, 0x29550159, 0x18ce9ae0, 0x36ee2f0c, 0x7216da5a, 0xffca0645, 0x9a8799a2, 0xb64d1da2,
+    0x768e9cd9, 0xa45e1297, 0x1496e2b4, 0x800a8d43, 0x996c4121, 0x29df6a5b, 0x9ae40411, 0x1f69c6c5,
+    0xb3773bf6, 0x0427b948, 0x2f5ba858, 0xedb3bb31, 0x78d34f0c, 0x3bd694a5, 0xe7b04af8, 0xdab293df,
+    0xa2147aba, 0xde889d6f, 0xb9e45f4d, 0x73445f1f, 0x45ef1a8c, 0xee0d8520, 0xb510b61c, 0xe3bd6a32,
+    0xfaf8de42, 0x6b426ac2, 0xdec7a15d, 0x117d66ff, 0xafe69e11, 0xc1dbc358, 0xa7184aba, 0xda27f9c0,
+    0x2bbe09f5, 0x9c526626, 0x94369a2a, 0xcc69d0b7, 0x1d94a85f, 0x4190469c, 0x628b6f80, 0x5fdbf21d,
+    0xa46754df, 0x0156b2f3, 0x81c4cabe, 0xea83d50c, 0x5fa93abb, 0x8f2001a4, 0xce371cae, 0x7844ea71,
+    0xc63a24aa, 0x3e16b74b, 0xaf62539d, 0x922ecd9a, 0x9165a9be, 0x312e7c76, 0xc8cd820f, 0x0cfc6563,
+    0x166991e2, 0x8cc2d7fc, 0xc2e9d1ef, 0x7fba1e90, 0xb70f1405, 0x46200b9f, 0xd15d1779, 0x51dd670e,
+    0xa4c57178, 0x5fa2a40b, 0x79c65499, 0xc38adc03, 0xe284831e, 0x912d340c, 0xdca93452, 0x6ded09f9,
+    0x42aabdf9, 0xc9a41129, 0xdb205a34, 0xa2a55167, 0x30de2542, 0x9b91ae41, 0x72a5f410, 0x62478f97,
+    0x4b501c91, 0xb47d7fcb, 0xd3332be3, 0xd9cb1828, 0x133f5b5e, 0x3c5950ee, 0xfbc22c94, 0xccd0b6c0,
+    0x39754290, 0xe44f3fb2, 0x73fd558c, 0xcf4aae98, 0x6f9845c8, 0x14bae4a5, 0xc5eb6582, 0x340f699d,
+    0x55794b6b, 0xc0b6e3fb, 0x85bc2956, 0xbd003834, 0x8a1786a7, 0x6489427b, 0xe2ab4b26, 0xd59f0814,
+    0x8f8d5468, 0x783bd50e, 0x6bc5070a, 0x7cd9cc55, 0xdaa7b142, 0x8efd8d1d, 0x46d0fb6f, 0x83802908,
+    0xca14441e, 0x9a03ef77, 0x36ac9868, 0x52b3dd71, 0x72f8c934, 0x59e402ef, 0xbecad0f8, 0xacc3f529,
+    0xe27564f4, 0xe5b1b1a6, 0x6b90b6ea, 0xe7bbc607, 0x672140aa, 0x616bc4fe, 0x278e56fc, 0xc4153f1a,
+    0xfee8e2fe, 0x252306a3, 0xcb495b97, 0x45faa1b5, 0xd04a4553, 0xc2383f76, 0x439407e1, 0x2d77e621,
+    0x27815165, 0x3d036b3f, 0xde3bc938, 0x3b26f40a, 0x8694627f, 0xfa96c36b, 0x3dc8145b, 0xd42ee421,
+    0xd705f9cc, 0x3ab74f98, 0xaabcaf45, 0xb0fcc16c, 0xa86dc663, 0x885dc333, 0xe14b87bd, 0xe664cbb9,
+    0x182c0bce, 0x12233d03, 0xaebeaec1, 0xc517619f, 0xb693928f, 0x72b40ad7, 0x145b2608, 0x2a1374e9,
+    0x4415e0de, 0xec1ad93b, 0x917cc052, 0x70995b98, 0xe6757b1a, 0x6b642af8, 0x5f37f9fb, 0x7a2b8224,
+    0x5dcff071, 0x59665b03, 0xda1a04d9, 0xbdcf39b0, 0x29ba13a1, 0x3b3b31de, 0x5665eaa7, 0xf98e1d31,
+    0xca42ea91, 0x869ccb82, 0xe2529fdc, 0x1f0e6b0d, 0xd6986581, 0x664c90b0, 0xd9331db0, 0x1dc9d00d,
+    0xd9a8c79f, 0xf7cd2801, 0xdc2693f1, 0x7973fb92, 0xe7f76d84, 0x4d1c95a0, 0x2bd50576, 0x2510547d,
+    0x289ce737, 0x2e2d5536, 0x8abde884, 0x8028add5, 0x1e2e399a, 0xf34a39d5, 0x4394720f, 0x5b585ccd,
+    0xb5ac89f2, 0xf0436735, 0x89c5baba, 0xce417f57, 0xb7bad1c0, 0xebe0b0da, 0xe8d72f27, 0xb3b9e60f,
+    0xdf15d027, 0x051ae7e7, 0xac21277c, 0x000e56b1, 0x6af6f0a2, 0xecad2bc5, 0x2baa3acd, 0x529e4e28,
+    0xa9aff8be, 0x63b0df39, 0x72b665f4, 0x037a762d, 0x34c24108, 0x1d067342, 0xff0e7d10, 0xde4e2261,
+    0xbeb7167d, 0xb3c3c7a1, 0xb3874477, 0x1f63267f, 0xf71ec87a, 0x17e58879, 0x8fdbe802, 0xb616343c,
+    0x8b8f048d, 0xf5201c37, 0x8834da99, 0x5e1d0372, 0xd2873631, 0x15783702, 0x1ac0f8c1, 0x12771610,
+    0x476dd764, 0x79ef5471, 0x0d1e6e0b, 0xf3235171, 0xe7e1195d, 0x7e21c1b1, 0x7d7defa6, 0xcd291920,
+    0x2cef5124, 0x552d417c, 0x235927fa, 0x2354e10b, 0x15a89042, 0xf618858f, 0x060eee43, 0x29eef8d0,
+    0x3572bb98, 0x17da1fac, 0x97d986cf, 0x38ed3e1d, 0x5d46b300, 0x967d0415, 0x7a99aa5d, 0x2ba8b89a,
+    0x5b831dd1, 0xf590d6b8, 0xba825cbd, 0xe5daabe6, 0x9c36e907, 0x13c89b6e, 0xc1107190, 0x6f3a31d0,
+    0xec60cd40, 0x27361cf8, 0x29895205, 0x1416b2a8, 0xbe4c7e11, 0x7ecc30c0, 0xe84e4a9b, 0x9417c63b,
+    0xa031a0b5, 0x6d562e1e, 0xbc3625ef, 0x6f77c560, 0x5e93e686, 0xa18e156d, 0xbae09198, 0x9acca44f,
+    0x14e8034b, 0x6f02dc42, 0xecac67a9, 0x30551e09, 0x104d69c2, 0xeaf841e9, 0xa62ec444, 0x541d67c3,
+    0x6709b29c, 0x9a5f00f4, 0x8af1deb5, 0x80c06b7a, 0x122aa0cc, 0x5af20dd2, 0xc4ca5976, 0xb3957333,
+    0x905aa95a, 0x3e3770c6, 0xac680f67, 0x41d14327, 0xfa5d018f, 0xf0ff9ed6, 0xba96a1c2, 0x396b3dd1,
+    0x80fe2ed4, 0xa6cd6f4a, 0x4c1abb61, 0x0e35f5a7, 0xfd89017d, 0xd04610dd, 0x48e9d669, 0x24166567,
+    0x682029db, 0x9ac29ff5, 0x60493409, 0xfb06a355, 0x64d525af, 0xf57d59ee, 0xbe7dc55e, 0x4d36751f,
+    0x204e19b5, 0x0cdec5bd, 0xaf22046e, 0x33630bce, 0x27500ed3, 0xa22ae15e, 0x9ea01bc1, 0xb89f5b08,
+    0xe9fe8a08, 0xfda1a7ad, 0xf7194e4c, 0x3088b1ae, 0xfbad7976, 0x63d80e90, 0x25e74f24, 0xbaf7638b,
+    0x3a76f83c, 0xb96e6554, 0x42864bc6, 0x70bf1f27, 0x4c9bd77a, 0x5aa0d95b, 0x0d6b95d0, 0xc07566f9,
+    0x07962560, 0x6a79e3cb, 0x2ac31400, 0xd7e25ca0, 0x4437c323, 0x9d5279b3, 0x5208528e, 0xd9b9f0d3,
+    0x0a6bf116, 0x6cea1ed4, 0xc1527261, 0xdcfcd2af, 0xb8f059a0, 0x80222b2a, 0x0a8b2bf7, 0x4d9dd8db,
+    0x682f610b, 0x48de0668, 0x1a379ffb, 0xd875a760, 0x0e080170, 0x57bae3ea, 0x42380c29, 0xa7cee701,
+    0x8f993933, 0x75e4e753, 0x2a079abb, 0x0ba4672e, 0x7388009a, 0x948eabdf, 0x5f7c1364, 0xe6324e49,
+    0xfbccdf51, 0x19c1ea40, 0x130876e3, 0x8ec42f30, 0xaaa02f1b, 0xb85d90ff, 0x6e234db1, 0x06af5612,
+    0x3f9c8aa4, 0xe837b314, 0x6b06908f, 0x8e0dce7a, 0xe7b20b38, 0x9e97b3e7, 0x47a815a5, 0xa97b503b,
+    0x2a75994a, 0xe99dfe89, 0x0c280e5f, 0x88e58c45, 0x54ad725e, 0xa540bd7d, 0x3b69be20, 0x251d397b,
+    0x77a6529b, 0xdd96dadf, 0xc3f4a698, 0x29af7196, 0xc02e8343, 0xb749dd13, 0x498da63c, 0xbe9c7f4c,
+    0x04016706, 0x2c1d33b1, 0x94aef2be, 0x96215a47, 0x6372dcfc, 0x6655cead, 0x79e467fe, 0x20ebd32d,
+    0xff0ed195, 0x6282ffd5, 0x840e8bdc, 0x9fb4aac1, 0x620b8427, 0x5efd202b, 0x51743d6c, 0x78af0572,
+    0xef68e35b, 0x05a41efd, 0xe90b8b08, 0xfc9044b2, 0xd2229b87, 0x015939ea, 0x3cea25c0, 0x68a6fee2,
+    0xa57f565c, 0xed2ea0a0, 0x4129b367, 0x662c1dd9, 0xe8a2e528, 0x0291fb6f, 0x6f86a341, 0x9c24ddd5,
+    0x3bf14d5f, 0x5c333930, 0xb3827514, 0x1a58aab1, 0xb33cd0f0, 0x00795b00, 0x662b3b29, 0x1e4fd036,
+    0x76b22a11, 0x4e812a79, 0x587094da, 0xd4900458, 0x6f5919ff, 0xd04f411e, 0x23e1a887, 0x885c6af3,
+    0x0915097b, 0xcb25d5d0, 0x3ab094ed, 0x065d58ea, 0x7e831477, 0xe1c7a385, 0x5f9eab45, 0xb0a7d635,
+    0xd7207a4f, 0xcff5d638, 0xb70835d2, 0x6ea1b316, 0x6f30f3f3, 0xb088a185, 0x629bdc03, 0x77ae6657,
+    0xad4c199c, 0x6534960c, 0xcc6d456d, 0x6c7bc5c8, 0xaf8a0091, 0x8e2268e9, 0x15e9bd27, 0x324b4f23,
+    0x03370b50, 0xaa285a8a, 0xa1bb9b26, 0xc7981208, 0x74bd85f8, 0x1e8d7116, 0x31e71470, 0x57e6792e,
+    0x2bba32f7, 0xf82276eb, 0x4bac3a95, 0x1ce74c60, 0x49908da0, 0x4df2a82e, 0xd50dd509, 0x3cab1d4d,
+    0xc0f38e5f, 0xf76006f1, 0x0a0d6863, 0x2d8e09a5, 0xf6a744d1, 0x9f167e2a, 0x4a200d15, 0xf6116f35,
+    0x00000000,
+    0x65ca54ce, 0x35ee4805, 0xad0bd614, 0x24beab63, 0xd51f3a3e, 0x650fde9d, 0xe7859d06, 0xb6ac8082,
+    0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000465176783549188409951567237048322901986330470839883558580153\
+                         72747560914439257467092876227245680868195888801382801035387746214504231337984 */
+  { 0x00000000,
+    0x1faf0e2e, 0x7bd2bffa, 0xe90ba984, 0x363304d1, 0x2bd1b6f8, 0x59f35277, 0x31d3755d, 0x4c62a786,
+    0xaca751a4, 0x887443f9, 0xeee7e50f, 0x008d694a, 0x77773cda, 0x2ea1a85f, 0xe5422eaf, 0x20f0d729,
+    0xd7541950, 0xdcce89bc, 0x02be40a7, 0x4c97cb0a, 0x36d2daf3, 0x1203e29d, 0x37da6994, 0x8618861c,
+    0xf5d00be4, 0xd10219d5, 0xa85f6097, 0x5f54d927, 0xfb2ad8d3, 0xb33733d5, 0x26852267, 0xd4b29512,
+    0xa8473862, 0x0e1d985a, 0x5d5dfd35, 0x8aabbce6, 0x88bb4075, 0xce851056, 0xfe69d1ce, 0x31778741,
+    0x734df36a, 0x220bb3ca, 0xdb74c9a6, 0x293fd6f4, 0x6adbddcb, 0xaa86985e, 0xeb3f64b1, 0x75288c7d,
+    0x34722870, 0xa49eb332, 0x34089ce7, 0x989cd9a7, 0x884c3904, 0x3fd9c189, 0xc5e62d72, 0xfe7ad225,
+    0x13f83c71, 0x3e3b0ab2, 0x730611de, 0x1e781e0e, 0x389ec476, 0xc4bc440a, 0x0c951e46, 0x264aa49c,
+    0x3050aa35, 0x6246d0de, 0x1c284d51, 0xce9d0d20, 0x3e0c724d, 0xd33410cc, 0x4dc8b013, 0xe075c8a2,
+    0xa8fc4428, 0x71e8c4e4, 0xd9dc987c, 0xacc499c9, 0x04dac717, 0x5c49acf3, 0xc54813d5, 0x601650d3,
+    0x71bb63ca, 0xd3b078bb, 0x2a69dc13, 0x9dd73938, 0xbefc8ca7, 0x72ae0eb7, 0x60da2b16, 0x8f324693,
+    0x426f0d56, 0x136366f9, 0x7156f5b5, 0xfca8d6e8, 0x946898c7, 0x260eda39, 0x50896a59, 0xa4626779,
+    0x5a7cec69, 0xc67e08da, 0xe0436442, 0x2350822c, 0xc9ddb08a, 0x6f1093c1, 0x3d94a13a, 0x7be30522,
+    0x840f6457, 0x6fd2f4f0, 0x5288923d, 0xb325433f, 0x50570c6e, 0xe1283a78, 0xd578d532, 0x0237ce52,
+    0x6354bd6d, 0xdaea5834, 0x9338804e, 0x9fbb41e8, 0x3bea542d, 0x685d9042, 0xc987c4d7, 0x2e3d7bb0,
+    0x448f7b6e, 0xe64a3fcc, 0x4c2eaa66, 0x02a45316, 0xc69173cf, 0x96dbaf1c, 0xd370fd51, 0x55f46633,
+    0xa7b3390c, 0x96664c67, 0x29ebd3f4, 0x39c821a6, 0x6cd758d5, 0xbc43cf66, 0xf5e343ae, 0x09dc26ef,
+    0x1d05940b, 0x2323d9bb, 0x79c5d711, 0x0e8438f9, 0x53bed981, 0xc0b344ac, 0x2173e0c5, 0x63df6252,
+    0xcab3f984, 0x26ef71cf, 0xa16ea5b0, 0xd7846886, 0xb86f3587, 0xd97cdd5d, 0x06a0efc1, 0x71f7432a,
+    0xa9eb4bb7, 0x29df1219, 0x3b5af359, 0x5e1ec013, 0x0fb9c82e, 0xa6788432, 0x11d49e55, 0x0d7ebd4b,
+    0x9daed122, 0x74884493, 0x701364fb, 0x81b6d86c, 0x6c3bc2b7, 0x7f3e84fe, 0x16da2523, 0xf34c18ab,
+    0xd70f02d2, 0xd68e260b, 0x30deffc4, 0xdeafb847, 0x9f8a1739, 0x683886ee, 0x99cc666a, 0xbfbe5764,
+    0x6d627d9c, 0xf682e315, 0x5241174a, 0x5c0e9d87, 0xf8a3cf80, 0xbce09b7e, 0xbd7787fd, 0xdd769cf9,
+    0xaab01675, 0x94d8cfb3, 0xbfc61e23, 0x1970fde3, 0xe5eda819, 0xade57c27, 0xd56d37cb, 0xcd6b0e03,
+    0x0acd6887, 0xe262be07, 0x087e9363, 0xe5dc96da, 0x2987b700, 0xd260cd0e, 0x7b1c4dd1, 0xe067052d,
+    0xbfece08b, 0x8e15a62f, 0x99eddd2e, 0x8f643014, 0xf1aefcbe, 0x5b4afdcd, 0xc2529310, 0xd646278c,
+    0xf3cff091, 0xa7dfd52e, 0x6b4e13a1, 0x2982232e, 0x6454d833, 0x93f80760, 0x235a993c, 0x5e82e2e7,
+    0xf85d4647, 0xd4fd9936, 0x885b0112, 0x9416f565, 0xe7067422, 0x732908d5, 0x0e0aa9fd, 0xa12cff55,
+    0xaecf7337, 0x83cb10b3, 0xf77943c8, 0xcd11a295, 0x419d53c4, 0x61b98a7b, 0xac9f97a9, 0x217c4339,
+    0x7d8027d5, 0x696b4de3, 0x7430898f, 0x8cde9842, 0x6f43dbf9, 0x01c89660, 0xb296cdbc, 0xe1dcbd90,
+    0x2cb6e723, 0x3d001357, 0x4a1787d6, 0x0de64856, 0x4221161a, 0xac989491, 0x61fbbd2e, 0xeda06e68,
+    0x50f3405c, 0x508b41fd, 0x798726b0, 0xa5691657, 0xf1dfb389, 0x2950ebf7, 0x2f1092c8, 0xb52a0177,
+    0x772e69c4, 0xc44d4c5b, 0x82861750, 0x0018d32f, 0x7507db6f, 0x962d511f, 0xd56a388b, 0xab6a0dbd,
+    0xa8bb5532, 0x607f2dff, 0x610cfea2, 0x8ce11a81, 0x4e684890, 0xa3d80d20, 0xaf2eef9a, 0x98a1c07b,
+    0xfa7a0fe3, 0x8402d77c, 0xe8e3ac48, 0xa7fe4a6e, 0xb5f66900, 0x2b0254a3, 0x7fc50380, 0x626b6cb4,
+    0x5faed9dc, 0x7f5eb543, 0xd0849117, 0x9c473b73, 0x7e0d3329, 0xa25cc2b3, 0xe6b34208, 0xa4013848,
+    0x7be7df7c, 0x8b1ce55c, 0x434c412d, 0xd22c3172, 0x3162ef3b, 0xbc454cf8, 0x446e04c0, 0xd10f9fa1,
+    0xff550927, 0xf6c858fd, 0xbc06ab02, 0xa1945a5c, 0xf627d9ea, 0x20768550, 0x1401ae81, 0xc7fd2a31,
+    0x64a8f903, 0x079bfe83, 0xcbe689a9, 0xf68fed27, 0xe88b8d73, 0x7f08b580, 0x61e52df3, 0x6ac14997,
+    0x50c45ff8, 0x4d3e6600, 0x14dfa483, 0x0943aed4, 0x3ef628ac, 0x68d21f30, 0x6b107ff6, 0x2c677a3f,
+    0x59b15107, 0x1753bb22, 0x3f4d43ba, 0x417996df, 0xa5b28c65, 0x6c47cb30, 0x57722ba3, 0x4198d73b,
+    0x10b97b66, 0x498db0b3, 0xaae54a51, 0xb46966ed, 0xef4201ac, 0xf313ee52, 0x281dcac6, 0x496a11d7,
+    0x3f61c348, 0x93cc8c43, 0xc832e4b1, 0x80092b4e, 0x90ef4427, 0xe54d6f8e, 0x098ab8cf, 0xdc67166c,
+    0x9628381d, 0x2c424bc2, 0x5c3bd463, 0x7b9c216e, 0x871d4eb0, 0x73e84ea1, 0x6aa61ba5, 0xd4771a13,
+    0x8af886e4, 0x3561731b, 0x7b206bab, 0x3366f337, 0xdf88c499, 0x8428ac96, 0x94009693, 0x38bc7961,
+    0x68989ee3, 0xc104ce20, 0x10165fc3, 0x356c0ae1, 0xb2a3089d, 0xb6b993a1, 0xe33862e2, 0xd2dc8082,
+    0x1390ffef, 0xb88ae369, 0xe7e54109, 0x4aee87d0, 0x8457ae50, 0x8b04ce73, 0x3d54b1fa, 0xef1b7f17,
+    0x9a9b1598, 0xd381a723, 0x96c68f80, 0x39e6ced8, 0xa28e4f4f, 0x36f60df5, 0xf802e946, 0xa100a4c1,
+    0xaca97e4d, 0xdc2fee72, 0x47e97a62, 0x3e7c7012, 0xf2e28a3c, 0x151bb58f, 0x53a812c8, 0x1d26e05d,
+    0x4c5bafeb, 0xa60e9ce3, 0x814c7c86, 0xee55f020, 0x228442be, 0xd51377bc, 0x922b9629, 0xe1882733,
+    0xcdaa4153, 0xc33de75f, 0x748b68a5, 0xa61c82e1, 0x8561000d, 0x8812d232, 0xc0ae68a3, 0xdba50247,
+    0xb9e93925, 0x8cf8350a, 0x67d33919, 0xfd797b22, 0x2b82cae8, 0x83fcceef, 0x6099c66a, 0x17100fba,
+    0x7a975aee, 0xb2827fd8, 0x4ffd825f, 0x14e73508, 0x0f080110, 0xa81708ea, 0xe9187978, 0xd0dd479d,
+    0x1599054a, 0x56acc038, 0xc2b76d73, 0xae7db372, 0x352b7ef8, 0xcae2c9e0, 0xae67f4ad, 0xcde23e9e,
+    0x7cd3a3e9, 0xa3f468a2, 0xddc6336f, 0xea1fc8c0, 0xc9f4e70c, 0x3e6e432c, 0x6bcf66d6, 0xe9db4a39,
+    0xde50fdc9, 0x935ccb57, 0xe074b83d, 0xe71cc3bf, 0x3baf711e, 0xdfce4bf0, 0x7e61f60f, 0x8a9c2abf,
+    0x8d473517, 0xe350ca4f, 0xc723a33f, 0xfc1374c9, 0x01ba56bb, 0x4534f182, 0xc7fd1975, 0xba44aff1,
+    0x24c0e25b, 0x5ecca268, 0xb14adf30, 0x4ffba10c, 0xaf293ee1, 0x352fb3a2, 0x6fb4112e, 0xafe98c3a,
+    0xec2237e5, 0xd26d25bd, 0xe7b2a691, 0x618c7120, 0xf1ff74ca, 0xd883868e, 0x2f4ef6c7, 0x65b3e8aa,
+    0x1f877cc4, 0x1b89eaa5, 0x847209e3, 0x4602b272, 0x5378fb12, 0xbe598d82, 0x9e6c60e0, 0x44444fad,
+    0x9adcc2c1, 0x3e71dc91, 0x348e483a, 0x4cd4ccc9, 0xa840896f, 0x3f0e48b5, 0xae11cd04, 0x4e571211,
+    0x1b82569d, 0xe1d663ce, 0x307f3340, 0x02e2119e, 0x736909cb, 0x801d2592, 0x41eab45f, 0x5267af41,
+    0xf8eeb23c, 0xdb11ad9e, 0x5523a5d5, 0xb7cf5786, 0xb21b2d3d, 0xbdda2302, 0xf430403a, 0x38dda251,
+    0xd7622a7c, 0xeef3303b, 0x3a03015a, 0x8aa90e24, 0x089df179, 0xfd312074, 0xcc4769c7, 0x53fe895a,
+    0xe48e6528, 0x4e500f3c, 0x8d37f638, 0x1aafb887, 0x8110ba0a, 0xb6b89107, 0xb50fed3f, 0xb71f3f2a,
+    0x04f701d1, 0xd026008e, 0x49f2539e, 0x3dc2d932, 0x8e5ef67f, 0x6206955c, 0xb531d95d, 0xe4c1ebe3,
+    0xd60d6b95, 0xff43b705, 0x31b58a98, 0x7eca1cfa, 0x7248c77d, 0x441ee311, 0xcce2eba8, 0x1da795e0,
+    0x44d8b7bf, 0x71b8920c, 0x8da41829, 0x17127477, 0x739957b2, 0xc9653ac4, 0x5a638b8d, 0x95c6fd0c,
+    0xaa476667, 0xea54ba1c, 0xb56427c0, 0xdda40c2e, 0x510010ef, 0x05f153b4, 0x7c4481cb, 0xcf1d14e9,
+    0x0d15cb0e, 0x1bea66b8, 0x13e8864f, 0x192597b0, 0xb3a8c9ec, 0x003b59fc, 0x85b536d3, 0x0a2d33f5,
+    0x23dcb9ac, 0x4656e66f, 0x79fcc99f, 0xce1c9d59, 0x1bf84f02, 0x4acfa376, 0x2831b347, 0xebbf1d25,
+    0x3876fcec, 0x5fe42238, 0xaca1f9d7, 0xe9ac15dc, 0xf4e3129e, 0x8822b264, 0x339e8a2d, 0x5134a315,
+    0x8978d3ad, 0x0b5c85c6, 0x9f870ba4, 0x1f0e40d5, 0x7e557989, 0x5b6aa81a, 0x3e1308f6, 0x55f7943f,
+    0x64a88576, 0x035aba15, 0x43006606, 0xef5088c4, 0x0b59613c, 0x323e749b, 0x67b75750, 0x59eca737,
+    0x30e0abd2, 0x45106e51, 0xc2792696, 0x81621cd2, 0x63f41f7c, 0x683ff235, 0xbb383692, 0xbd0199a7,
+    0xc4316934, 0x559f34d8, 0xa2bb8559, 0x7b6eb4f3, 0x59b85a47, 0x2a23c389, 0xe3ff5425, 0x48ab2d6d,
+    0x8e8ca108, 0x0b6a1983, 0x72cf9d48, 0xedc607aa, 0xe64677bd, 0x9b05b3cb, 0xa62cffd6, 0x3c675825,
+    0x1d9724bd, 0xdb65b3a4, 0xfaa922ce, 0x2cf5d2ae, 0x39269c3a, 0x326fbb82, 0xfdafd82b, 0x1757851f,
+    0xcf4f1e08, 0x8fa5aa64, 0x86217476, 0x28673631, 0x387c9506, 0xb1ca5592, 0x9eb71238, 0xde4dfd4b,
+    0xc6a523ce, 0x65e2da19, 0x577cd911, 0x0b422449, 0x9d8cdae5, 0xd1ac28a1, 0xb98bc575, 0x0a9d6029,
+    0xe8249b60, 0xb1c94c75, 0xcdca9f7d, 0x4bdf30fc, 0x731994f7, 0x6e5d8cde, 0x7b424c25, 0xd0931620,
+    0xe7753d24, 0x189fcee8, 0x4bd96691, 0xd588ad6b, 0xb1abcac2, 0x07f40dde, 0xbfe394a1, 0x8fa7a04d,
+    0x079a4abc, 0x488e5024, 0x5e3a4ae5, 0x65a75b14, 0x267cf9e5, 0x612873f3, 0xf66957b4, 0xb27da959,
+    0x90dd66e1, 0x0247d80b, 0xecb01ad2, 0xe9fbd494, 0x6be11d60, 0x28d613a7, 0xa1ae4435, 0x94899a68,
+    0x6839983d, 0xa935b37f, 0x2b0779dc, 0x59ae8c45, 0xa6582806, 0x11ce163a, 0x0a0cdd5b, 0xd151f0a6,
+    0x89e6a527, 0x1a92b687, 0xa01373cf, 0x37124129, 0x472e6492, 0xc7b809c5, 0xc3b4d6c0, 0xe9c7e4a8,
+    0x245f124c, 0x52c160ab, 0xf90e72fc, 0xd0df03b1, 0x414a7cf1, 0xfa23c6e8, 0x5dc41a0d, 0xed03eb5f,
+    0x57cd262f, 0x9308d863, 0xbe66bef2, 0x56d25e35, 0xd8d36da3, 0xc755a8bc, 0xc32b4d76, 0xa44fa003,
+    0x4817e61f, 0xbe90b8cd, 0xe59c00f9, 0xe12b231b, 0xc5a243e6, 0xe346a38a, 0x37d8fc98, 0x3b0bfe0a,
+    0x458d5f06, 0x64c86498, 0x5070c12b, 0x9ade7867, 0x183a68dc, 0x5b7ddc28, 0x428c1b7b, 0xf0819a81,
+    0x90e9a759, 0x4e9a1891, 0x81eefc33, 0x665f98a2, 0xe3f6ac75, 0xd5b2172e, 0x06e48964, 0x472476b5,
+    0xc5a967cc, 0xd3eb6d93, 0x724da08b, 0x1257da78, 0x827397af, 0x7722aee5, 0x5836c679, 0x53a72c04,
+    0xd1e06114, 0x9ec390a1, 0xc4ea4364, 0xc82d40a7, 0x3ada6273, 0x79218af9, 0x1cc4791f, 0x876d7eeb,
+    0x44b1c7c9, 0xf5bfae1a, 0xc30d491b, 0x50bbe8ee, 0x28497e67, 0x4c26689c, 0x43239b95, 0xa7a8bc2e,
+    0x36191886, 0x8434b2a6, 0x9436b780, 0x4f4bbf1d, 0xd956f8dd, 0xe7a68e1e, 0xb4e7bcc5, 0x56e9e7b0,
+    0x502adb5e, 0xbab8b3aa, 0xe202ebad, 0xc20f76a4, 0x391327dc, 0xef84b964, 0xd5ac6673, 0xb162e351,
+    0x070b8a48, 0x9acddbc2, 0xd09aa9a2, 0xfdad7a01, 0xf180f22a, 0x654f8cbd, 0x91a6a600, 0x01bfe76e,
+    0x7b89cca0, 0xa4a096ef, 0x2836593a, 0x9558e38b, 0xb5003282, 0xd1204668, 0x3c33cc49, 0xd96c8822,
+    0x5d24c748, 0x35d711b8, 0x33251199, 0x571a7dbd, 0x9f7fded9, 0x18f1dffa, 0x1eeab9e6, 0x92101e9b,
+    0xf3fe668f, 0x200d45fd, 0xc7610025, 0x3c25909c, 0xf88fbcca, 0xfec3714f, 0x15985e59, 0x2a9e962d,
+    0xedcdcb01, 0x64af3e31, 0x702f742d, 0xda873cc9, 0xd4e42eeb, 0x8028d027, 0xbe8d0f19, 0x4e83d490,
+    0x0e3b1682, 0x9b1c43b4, 0x84afb81b, 0xe0268d07, 0x2ae9f29f, 0x0468b955, 0x4dc91553, 0x938843bd,
+    0x96633f41, 0x4c8f0111, 0x646964c0, 0x472e8369, 0x6ec75ffb, 0xdbde9193, 0x09ac4e04, 0x440a43ce,
+    0x7475b486, 0xe63e20bb, 0xc7d1b9a6, 0x56106005, 0x6bb45971, 0xdf6b884f, 0xcf155b42, 0x61613737,
+    0x61090c29, 0xd97eced1, 0x17be9200, 0x6e4d6125, 0xf110b9e8, 0xdf61b792, 0x8ed969ec, 0x6551349d,
+    0xf23c9a76, 0x09e2edb6, 0x75057a16, 0xb2590c30, 0x9efd09c9, 0x4801d578, 0x50e507b1, 0xfbd9711e,
+    0x1dbd0a52, 0xa36eff97, 0x0d7fc069, 0x1d6bfa8f, 0x34e3d063, 0x27a361f9, 0x02867288, 0xc78c7cd5,
+    0x7be2e269, 0xe5595c45, 0xfea4ecbc, 0x7707f0f3, 0x86382a16, 0xcbdd0417, 0x7ca8a8c9, 0xf452f4d4,
+    0x84398d4f, 0x46cb96cd, 0xdfc10a3a, 0xde9557b0, 0x6e8685a7, 0x9322da33, 0x0c3bf770, 0x1528ecf6,
+    0xe7ed66b8, 0xb3bef8d7, 0xf7882e14, 0xb9b1a015, 0xb3c53b2e, 0x5fb18d5d, 0x9845f707, 0xa37cfbe5,
+    0x8d9bd0d1, 0xc6291e80, 0x1beb16b2, 0x3c0ba38d, 0x0273aad3, 0xe7fe5126, 0x9c1eafdc, 0xc8cdc686,
+    0x6e855c60, 0xa20aa448, 0xf823ed70, 0xf8524a7d, 0x74c5698b, 0xc953c4f0, 0x0b841d6d, 0xffc28af8,
+    0x0efcdae0, 0x93143e0a, 0xb847f4c1, 0x53bcb278, 0xc9bcc612, 0x0619f2a6, 0x45929160, 0xd643e540,
+    0x9efe700b, 0x3e888949, 0x13d7e28d, 0x5d9a3224, 0xf0c56b61, 0x77b5a826, 0xa9c789c4, 0x737e1ff6,
+    0x4c0c5551, 0x6ec98007, 0x879c17da, 0xecb1a1ce, 0x039980b1, 0xa4688630, 0xafecf25f, 0x5c508adb,
+    0xe90fe252, 0xad128cce, 0x58de2a61, 0xbc621dcb, 0x30277b2f, 0x154557dd, 0xccc28303, 0x39337d7a,
+    0x496c7d45, 0xfdf58a78, 0xe3ff2274, 0x196eb2fc, 0x1fc39675, 0x23015b2b, 0x38d20cfb, 0x6a4e595b,
+    0x6d10c361, 0x6f926836, 0xabb15a26, 0x6eb37a58, 0xed1d0339, 0xe9e63ad2, 0x780b58bf, 0xcfdf9bb0,
+    0xc4472313, 0x8de64c45, 0x87af9704, 0x777ac67f, 0x3c6d98c2, 0xf1f41caa, 0x27747094, 0x9e746514,
+    0x57e0a5d1, 0x8e4f96b8, 0xba2505bf, 0x860f148c, 0x6ec926b8, 0x1d4faf7f, 0x9ba8fe02, 0xa8845133,
+    0xd668fb5c, 0xa3bdd276, 0x24ffc725, 0xc00e0a5a, 0x35210228, 0x74d8aaf1, 0xb3825a48, 0x7eacbdfc,
+    0x8ed55612, 0x20e41fac, 0x433c3223, 0x0e57d473, 0xd89ad26f, 0x05896563, 0xba89070f, 0x427f2c84,
+    0x9c1a4257, 0x08707979, 0xadfc7b71, 0x1c8a67fe, 0x737ef9ed, 0xb703d864, 0x0ec7c423, 0x21c13a3f,
+    0x4b33d42c, 0xf0d55f04, 0x11475772, 0xdaf7426f, 0xabc48c83, 0xc596a35f, 0xcde3ecd0, 0x0d6c60e8,
+    0x5629f4c6, 0xe5772673, 0x7717bddd, 0xbfeadf68, 0xbe184e58, 0xc3075798, 0xf59e8229, 0x1101ead4,
+    0x65f922bb, 0x8ea1ae32, 0x4d89a16a, 0xf1cc5f21, 0x12036942, 0x98312989, 0x9eb9e23e, 0xfafc2448,
+    0x00000000,
+    0xb2e52a66, 0x1af72402, 0xd685eb0a, 0x125f55b1, 0xea8f9d1f, 0x3287ef4e, 0x73c2ce83, 0xdb564041,
+    0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000232588391774594204975783618524161450993165235419941779290076\
+                         86373780457219628733546438113622840434097944400691400517693873107252115668992 */
+  { 0x00000000,
+    0xa1dd43e8, 0xe16b427b, 0x86e31a44, 0x978d1788, 0x1fd22255, 0xc3491ab5, 0x789f7b47, 0x9fe7c025,
+    0x911b6f8e, 0x38719217, 0x7947e26b, 0xafdcab50, 0x829b51fe, 0x230f4be8, 0x7527498b, 0x92a23fc6,
+    0x78667be8, 0x142b5a7e, 0x6b60d133, 0x5359172b, 0xa52c0274, 0x3a377a6b, 0xa002c6e7, 0xb795511f,
+    0x6ecdf6b8, 0x0cdcefa1, 0x060e8fa3, 0x5983e374, 0x1f48a190, 0xce5b09e3, 0x09db9629, 0x5fab1dc4,
+    0x99c34955, 0x94dfffce, 0x2af18bb5, 0xc4c737b6, 0xcf98d513, 0xe373ab80, 0xe685443e, 0x404bdba0,
+    0x483eb445, 0x8e84feff, 0x5143d29a, 0x5a3ec144, 0x3ca3264b, 0xe4369e05, 0x0d47c147, 0xd8444b4c,
+    0x75ec3de2, 0xd71c078f, 0x56090e5b, 0xc476930a, 0xc989011e, 0x7e0e0dd4, 0x7e4fd63f, 0x971dfdbd,
+    0xb5d05301, 0xaec29670, 0x6d8a2247, 0xab612ea0, 0xb1169763, 0xc9288fc0, 0x94c30660, 0x69edef98,
+    0xfdefdafe, 0xecc4b1e8, 0xf3932347, 0x23cb66ae, 0x7d7bdf98, 0x7726ee5f, 0x97511dfb, 0xf1095000,
+    0xe9a0e4b8, 0x76b98902, 0xef6dace1, 0x52461042, 0x4153aeee, 0x0bd5c240, 0x590bc186, 0x09d24759,
+    0xa3abdc22, 0xa21e98ee, 0x5c5d88cc, 0xd6bc848f, 0x15dfaec4, 0x6709980a, 0x9192c6e1, 0xb1d85ea7,
+    0x18bebcee, 0x6036b4b2, 0xc82020a1, 0xacb95aea, 0xef279948, 0xaf9cf9fa, 0x7cd36078, 0x03fba2f2,
+    0xa0cdf440, 0x1dbccf1f, 0x84383786, 0xcca108c3, 0x3e503f04, 0x6a64a391, 0x9b36ab82, 0x7bd5ff9a,
+    0x64aa14c5, 0xa669d3fe, 0xc04a27fc, 0x413b3ddd, 0x15fed44f, 0x61636d4f, 0x1ad6c8c8, 0xcd29416c,
+    0xd09d5bb5, 0xc821aa6e, 0xe3440b8f, 0xb7eee00a, 0x34d1fd0b, 0xac25a967, 0x5d652cac, 0x3289f73e,
+    0x4c0f3e56, 0x8bd0203c, 0x5b0d57dd, 0x219ea038, 0x4d960e9e, 0x4e32cb45, 0xaa247e76, 0xe1240656,
+    0xf86fc7c6, 0x2a37b60c, 0x9a7126af, 0x4f78974b, 0xa341b0f7, 0x335c0908, 0x01bc8f80, 0xad352e79,
+    0x8e6208d5, 0xfd25909b, 0x658f217b, 0x873708f3, 0xc69c9fe3, 0x32fe23e2, 0x882cfabb, 0x2e86633b,
+    0xc6f3af1f, 0x0859804e, 0xe6faad3d, 0x9d9a18ed, 0x2f57bf33, 0x701d3a12, 0x1690dfdd, 0xf1dfc49e,
+    0xf8fb1294, 0xfd184348, 0x188e6134, 0x7a2cce52, 0x06336409, 0x345081a2, 0x14b20cf5, 0x07982f79,
+    0x5bd22683, 0xe92bf631, 0x9eb9f70f, 0xe2cd43e3, 0x623d9cd3, 0x96facfb8, 0x0ab2dec9, 0x2517bf96,
+    0x3d2e8c2e, 0xb2b63dc2, 0x18c747cd, 0x2d9b0f1a, 0x35acf768, 0x6f590f28, 0x890c976d, 0xd4d6e577,
+    0x88038f5e, 0x7d6d0c4f, 0x4e5cfa14, 0x5f8a458c, 0xe10c1244, 0x7d7675da, 0x727a985a, 0x5f7df8a2,
+    0x7ec04db8, 0xaa4f1d95, 0xd8ee7d8f, 0x863edd23, 0xcb2cc73d, 0xdb07b02c, 0xd5c68106, 0x3be2d914,
+    0x1f5f1c6d, 0x7dbf6a7e, 0x81d07546, 0xcf131444, 0xcbeacc3c, 0xec36051f, 0x2092a506, 0x38d91c9b,
+    0x5e457c8e, 0x64225a1d, 0x1a2fc0d7, 0xf9536b38, 0x5229efa0, 0x3ecd8e1c, 0xc39198fa, 0x0b5e6a7f,
+    0x4d6f0213, 0xd94450fc, 0x11ccc754, 0x2365f1c1, 0xac7ee458, 0x1c9c0748, 0x65100721, 0x12122572,
+    0xbfaa1cc9, 0x44cad6ea, 0x040f5838, 0x0ded6e40, 0x264de5fc, 0x22f972be, 0xe3a68ddf, 0xaf9bf40f,
+    0x478ad48a, 0x56fb60b6, 0x5c997ec0, 0xa80e3a36, 0x07c548aa, 0x87ebb660, 0x81fccb61, 0x89f32f4f,
+    0xd5247219, 0xe4d4c905, 0xe64395a0, 0x0f213518, 0xbb485b31, 0xb2d3b1dd, 0x4806d88a, 0x61c99bf7,
+    0xec58c4fd, 0x5b78f596, 0x4c1d30e3, 0x5ecefc62, 0x950215e8, 0xaeaaf1c1, 0xf5c63849, 0x4a60c05a,
+    0xb31e0d12, 0x3d6300f2, 0xfee05f9c, 0x9240f141, 0x048d8c86, 0xaad2771b, 0x239aaea3, 0xd5981e6c,
+    0x7941de5d, 0xb03e2923, 0xf6a926a4, 0x1f6e979b, 0x17d968b4, 0xe665ed08, 0x8d8de0c0, 0x6e5a1930,
+    0xe418a14f, 0xbe0d2a14, 0xf248042b, 0xaca23b97, 0x5a9f7ff2, 0x7c56d8ba, 0xe0389782, 0x3f7c0b5c,
+    0xa8c2d941, 0x7eed80a1, 0x9cf1c73d, 0x5eb665e9, 0xf6c5022c, 0x2192f51e, 0xa73f9f01, 0x388d98d3,
+    0x92c6eaa0, 0xac4eea30, 0xba3bb96a, 0x3de33679, 0x7b24f102, 0x4cb03788, 0xc0dd3751, 0x5c9bdde8,
+    0x385ad164, 0x53969e97, 0x2c3dacd2, 0x33dd5768, 0x7d60b82f, 0x4738095d, 0x1f3f078d, 0x82ac4cc3,
+    0xa361d37e, 0xe99a0ecb, 0x58a23ec8, 0xb0805e4a, 0x07b0f342, 0x28285a94, 0xab0235ff, 0x0a926f26,
+    0x37494df8, 0xffdfb748, 0x18e5f998, 0xdb73ddcd, 0xdaffc456, 0x59f54ab7, 0x1a9ef46d, 0xea1e0afa,
+    0x6f03e60a, 0xcd75bba5, 0xf97eba9d, 0xb07cf3c7, 0xbaabca3b, 0xd045ce2a, 0x0c25bdea, 0x7be54c65,
+    0x7f08983b, 0xe28b2a53, 0x66fc2f02, 0x0a4226a3, 0xfbddc184, 0xcc9512b7, 0xc1952363, 0xe3167e0e,
+    0x09b1dacb, 0xcc7c6fd7, 0x5d228fb1, 0x7af6e55e, 0xda4273e7, 0x3ee1d6eb, 0x218a99a9, 0xea4dab19,
+    0x2f5a4033, 0xb0f188d5, 0x533e0dd8, 0xd0d22e25, 0x90685877, 0x9137ea78, 0x18a7b658, 0x54c3113f,
+    0x5f7b2177, 0x10d6780d, 0xfdfbfb46, 0x984b5800, 0x0b1279a1, 0x2552d0aa, 0xd2e1b666, 0x331221e2,
+    0x550360a2, 0xee0d411f, 0x25decf02, 0xc5e60de6, 0x2af15e22, 0x3192200f, 0xdb9ac0de, 0x37760231,
+    0x0dee8c9d, 0x62bb53ea, 0xbec7ddb8, 0x364d7a00, 0x53a5fe48, 0x9bbfb5ff, 0x26f6edf4, 0x7cce20a8,
+    0x936cead3, 0xec91e494, 0xb192da4d, 0x68fccf02, 0xff5431c0, 0x6eaf3605, 0x8c6608d5, 0xdd03ea11,
+    0xbb93fa79, 0x4fbc934c, 0x87b8dc62, 0x1a265d4f, 0xdcca3ddc, 0x2536df5d, 0xf6b82471, 0x3d3bee3c,
+    0xf270894c, 0x07842cb4, 0x0ecddeac, 0x78c9e95e, 0x144defb9, 0x67d88a3c, 0x1364aed2, 0x1eb910c2,
+    0xa4eb5a00, 0x1c56cb71, 0x1d1d501b, 0xfff0f580, 0x912d0038, 0x8f3bb6d3, 0x2c9a8f88, 0x9679a322,
+    0x67b28147, 0xbad2bde0, 0x40075b06, 0x2f55e1e8, 0x7b92ff7b, 0x28bf729b, 0x129b8ecc, 0x453733e2,
+    0xa06717aa, 0x83ad7f84, 0x09a81037, 0xc7a12cfe, 0x08c25f3e, 0xd024839c, 0xefd74cfa, 0x16d9f609,
+    0xfe2729f3, 0x3d113815, 0x81dc5d20, 0x537ffe7b, 0x3c671aa0, 0xb722f1e1, 0xc3bc9e7c, 0x14a8bfef,
+    0x1e84cdcd, 0x5beb4919, 0xe458be1a, 0xc4a8b512, 0x77e95211, 0x18256805, 0x5718e0f5, 0xc57ff891,
+    0xba5a38f0, 0x2775d25e, 0xdc9b33e2, 0xae5a9420, 0x975209b1, 0xdf316c5e, 0xe4140b46, 0xd68eee3f,
+    0x937269a0, 0xda598c0b, 0xfbb309f1, 0x09faf833, 0x14eda831, 0xde5f2055, 0x44270ace, 0x7366da90,
+    0x9389ad94, 0xfee59e0d, 0x0d290280, 0xf08cbe09, 0xb33065d9, 0x52274e03, 0xf3e60f5a, 0x097d016a,
+    0xd27688c3, 0x0e313ea8, 0xdc912f56, 0x1232f6eb, 0x9af57d3f, 0x71c110e2, 0xa3aee4ee, 0xaa638eb7,
+    0x8f65da9c, 0xc2fa28a2, 0xb4d47a74, 0x2c24fdd1, 0x8d8a47d0, 0x68ee45b8, 0xbbf6f53e, 0x168298d5,
+    0x1f9dcc71, 0xef5616c8, 0x34125eb7, 0x6c4f81b2, 0xe7b0ee76, 0xd9e186e5, 0x1b463651, 0x2330098c,
+    0x6d8e9d7a, 0x6d7fcd6b, 0xc3d79504, 0x847c920d, 0x213700bf, 0xf02990f0, 0x0b66bb19, 0x2e192cd3,
+    0xb2f36fe3, 0x2eac1ef6, 0x85823b19, 0x8fcde9b0, 0xd983bf54, 0x8f309a48, 0x01a926be, 0x05963c37,
+    0xf12f2b47, 0xf097cf66, 0x3893d308, 0xd9ca3ebe, 0xca92fc1a, 0x516e9934, 0xda7779b8, 0xb598ea44,
+    0x9a1a48c2, 0xe2fb4c07, 0x251a3de5, 0x7a43d937, 0xd9e61b45, 0xf3624932, 0xb562c8d6, 0xf7ced697,
+    0xb2644775, 0xd9ab48ea, 0xd9408a4a, 0x876cf3e7, 0xeea046f9, 0x6c136885, 0x40807396, 0x43e15132,
+    0x71df1dbe, 0x020ca73c, 0x9b78af88, 0xc6f39d61, 0x442def01, 0xa2abc99a, 0xa42a5601, 0x192357b6,
+    0xa0f9f721, 0x5d760753, 0x2c665fed, 0xaa945805, 0xcff74e99, 0x95c3fae0, 0x488d1c46, 0xdddd8049,
+    0x21e3b539, 0xea1e2c91, 0x9550c1c3, 0xce112af3, 0xc125f1b5, 0x35a41780, 0xa64065d8, 0x1a97d1fd,
+    0xc8a4d397, 0x306cc099, 0xe451fb51, 0xb8ec1b5c, 0x57a8f432, 0x92a53d4b, 0xcbedba0f, 0x566fc9e4,
+    0x99291b76, 0xa537fee2, 0xd4d1736f, 0x3c576f6b, 0x81e4bec2, 0xb14290da, 0xfcb0c1ca, 0x99c2fb73,
+    0x58f419ba, 0x5ebd1f5d, 0x29c021ad, 0xf83d4042, 0xe4484ca6, 0xd9a6b992, 0x71f33587, 0x29310e2d,
+    0xeeb93186, 0xa19c3ea6, 0x00eeaf47, 0x072d3e30, 0x2e33de4a, 0xc5f7b267, 0x6908efbf, 0x3a689c27,
+    0x747c5c95, 0x2e284dd5, 0x97370a69, 0x6225d66f, 0x9173e9a5, 0x6837396f, 0x3379af40, 0x96d386ea,
+    0x1a74adfa, 0xaa2d82e3, 0x67ef7e13, 0xec394c61, 0xd35396ba, 0x8cb927e2, 0x52f751e4, 0xfb4ea101,
+    0x4ec11cf7, 0x1fce87af, 0x32f86ef5, 0x3a1e3767, 0x87c75299, 0x544d598d, 0x7db1f519, 0x68e60f18,
+    0x02238cc6, 0xc2d0975b, 0x0bccad1f, 0x55f3e9da, 0x3bcd04e2, 0xdbd32e6f, 0x1ab69088, 0x30876796,
+    0x2a0565e3, 0x77271a7d, 0x060e5a73, 0xc91cd042, 0xb21c2f57, 0x69bb8f97, 0x66fb6355, 0x33c67562,
+    0x95d508af, 0xe62ce440, 0x8e853f47, 0x4b8bc159, 0xdedc4eb7, 0xbd7a9ded, 0xc8efe333, 0x5c0dea1a,
+    0x50ec7984, 0xe31a5359, 0x761f3241, 0x96fdef12, 0xec1ced56, 0x9bef9086, 0x8522b3f2, 0x095671cf,
+    0x511a798a, 0x2129d574, 0x0bcd90a8, 0x0c826b7f, 0xc56598bc, 0x55115d27, 0xc0fc7e87, 0x3a035263,
+    0x88ef090d, 0x7e357b46, 0x9d40161d, 0xce5c6c9c, 0xea9ca741, 0x69905a4e, 0x712a8587, 0x48a75aca,
+    0xc8d6cb67, 0x270c7102, 0xe85da3b0, 0x1953ff6b, 0xa27c20d7, 0x8f0080d4, 0x2b606efc, 0xc0321456,
+    0xbe467f03, 0x29d93fcb, 0xad639699, 0x376747e0, 0xb1921366, 0xba8fbf1a, 0x0bf4ba1d, 0xc80ebf55,
+    0x7c74b9c4, 0x61a7820d, 0xe9830f0b, 0x9c4d538f, 0x4e874503, 0x69c60476, 0x7a533f1e, 0xcccab53a,
+    0x07e661de, 0xa1b4fb1e, 0x19229151, 0x393bd9f4, 0x590cc193, 0xd1c9121d, 0x82f7c903, 0x9ec8a203,
+    0xbbe3f2ac, 0x6e9f4b47, 0xf0596825, 0x9c9fa85a, 0xc1db7b7d, 0xe7ed40a6, 0x02d3ec00, 0x9241adc3,
+    0x8ad535ef, 0x4fa12230, 0x9382f7e5, 0xf7755cad, 0xd583791c, 0x101bc7ee, 0xf4b76008, 0x8fb99e34,
+    0x13cf59c6, 0xa510501e, 0xa2fc622f, 0xa6f962fc, 0x1eee621e, 0x1ef88010, 0x95ec4c00, 0x68fe8886,
+    0x30779c62, 0x3302ae4d, 0x7f387bf6, 0x73bfaceb, 0xa3c2f85b, 0x67c62dc2, 0x6cc07912, 0xe4d6b76a,
+    0x6f5bbc29, 0x4055aedf, 0xe8f6db24, 0xdc2aef58, 0x98089964, 0x90c622aa, 0x9ef1b642, 0xda1ddb87,
+    0x981fabc3, 0xd6789ee9, 0xe2c3a848, 0x1c892d11, 0xaeb91bfe, 0x4149378a, 0xcf200e40, 0x845a05e9,
+    0xc072e9a1, 0x1da6c161, 0xa006e443, 0x637f023f, 0xd6c59ed7, 0x4f4b2598, 0x6a47be97, 0x5009bab0,
+    0x1204c85d, 0x1bb229e2, 0x355f56be, 0x897c6f78, 0x8a826c87, 0x1f6c2626, 0xcfea9627, 0x77dbf352,
+    0x9db9c415, 0xdfcc9127, 0x5837945a, 0x7f3f17de, 0xc867c7ee, 0xebaacc4b, 0xa62e5de2, 0x5fb12382,
+    0x562b3fdd, 0xfa36157a, 0x95a3b770, 0x6ce68fb8, 0x2bc1aee5, 0x442de8a2, 0x30e6e172, 0x193444b0,
+    0x6b99df67, 0x354de242, 0xb260b2e6, 0x027321de, 0x441e0ce8, 0xe5862c2b, 0xde8927d2, 0xf8712620,
+    0x9e46f6f8, 0xeb7a54e2, 0xef86bb5c, 0xfa2712b2, 0x6db0dcd1, 0xbbc23d36, 0x5ff32376, 0xba4ccf3e,
+    0x28fd8d84, 0x2a3e67e8, 0xbcefe147, 0xbf38d090, 0x92efd022, 0x01835b99, 0x0e74d1a8, 0x326b7e9b,
+    0x0ecb22f3, 0x346b2eb7, 0x1fe22686, 0x120cbb57, 0xfbd1286b, 0xfccd59ed, 0x97769aaf, 0x79f04482,
+    0xe4552243, 0xf2bbcc55, 0xff6bf1ea, 0xf39448f1, 0x5db36283, 0x757f4841, 0x95c3ac55, 0x7896ec62,
+    0xac9165bb, 0x826fd608, 0x3be8d1c4, 0xf92c6392, 0xb5ccb1f7, 0x2018d221, 0xe294b018, 0x0208d9d2,
+    0x01a202c4, 0x9ae64a62, 0x03543c92, 0xfe5550d2, 0x68b78cc6, 0x3528ebd4, 0x5ef37d84, 0xda26db0f,
+    0xf25f82b0, 0x04c7998e, 0xafa4371c, 0x4929761b, 0xbfa13240, 0x7472887c, 0x78101f1a, 0x2d7a41f5,
+    0x46bda68f, 0x420a715f, 0xc96b3e78, 0x1ebef5f1, 0x6bfa23a5, 0xf1062d5e, 0xebcc3e07, 0x6314b0be,
+    0x868ea16b, 0x9002c4f7, 0xce92f1d2, 0x2b9705b4, 0x4b22dbff, 0x4317a0fa, 0x889191e2, 0x8af834bf,
+    0x8fb8d639, 0x0a60e302, 0x314513ee, 0x9a5076d5, 0x5f925faa, 0x0fd1ed87, 0xd3672f2f, 0x74cce0fa,
+    0x5548e32a, 0xba1b3f75, 0x2729dcd3, 0x54ecfdeb, 0x8f67d174, 0x3055cb98, 0x8c1f0e13, 0xabc804f9,
+    0x4bdff6ce, 0xf56938a0, 0xd0a20213, 0x08e5e2f1, 0xc39bbaf5, 0x79ac92d3, 0x699d3ddb, 0x2cce001e,
+    0xdf191f95, 0xd06e1ce2, 0xb20d24e4, 0xb7fd5aff, 0x52451252, 0x38226bf8, 0x111e2f6f, 0x47469e85,
+    0xfb224a32, 0xcee7e260, 0x5e4afa55, 0x69a96dce, 0x1075c210, 0x145dcb81, 0xb09246ab, 0x80e45787,
+    0x5ab27030, 0x666e9a85, 0x68ed9f40, 0xb4749cc9, 0x9364b8fe, 0x35f3ff2d, 0xb83e327f, 0x664199c8,
+    0xb1f0e3e1, 0x9da89c61, 0xefaf6713, 0x8f111d79, 0x1e665db1, 0xdfc00aad, 0x32b29c80, 0x0385fa9f,
+    0x00689985, 0x47e4c384, 0x9463a9e9, 0xa605a8eb, 0x93d8ad58, 0xfcfb46e4, 0xdc4c5215, 0xefc70283,
+    0xd0d1545c, 0x692632dc, 0x26c949c5, 0xa6ad4c63, 0x853e10b1, 0x43f81ae2, 0x3497d70e, 0xc543c8ca,
+    0x4dce7f19, 0x2858b7b6, 0xf75b61b2, 0x14ccc416, 0x8225f4ca, 0xabf00577, 0xfa6cfab7, 0xac9d1635,
+    0xa1535cdf, 0x5ca78d04, 0xf1ca4b8f, 0xb19736f1, 0xa4b31dae, 0x37840b06, 0x7046f5cf, 0xcf26db1d,
+    0x022289d6, 0x1e163f0d, 0x6dd2119d, 0x725eb18d, 0x29084e58, 0x8c5b8100, 0x8fd34eb6, 0x7ee295a5,
+    0x4d2264ae, 0x2c97ae98, 0x809ebc81, 0xbb5c0009, 0x4014f6af, 0xe0fc17f0, 0x20434a28, 0xe7191ddb,
+    0x0f1b285c, 0x746af947, 0x6decbe9f, 0xdc90f690, 0x35302f1c, 0xabeceb07, 0x9f0e01f4, 0xe6795922,
+    0x9f8686c7, 0xdaa25405, 0x10f60e50, 0x532a09f0, 0xdf776685, 0xc4a5af2d, 0x795efa78, 0x573fa513,
+    0x7c320526, 0x15aa2cf3, 0xe9fe0f3c, 0x0b208b64, 0xe16271f5, 0x5cc9b439, 0xb40112c3, 0x4315f5d7,
+    0x5a3e474f, 0xc9515bac, 0x2e519609, 0x7f29a607, 0xd4a4a14f, 0x27b49292, 0x6e9309ef, 0x9152bbde,
+    0xf68dcaea, 0x0d842dc1, 0x2a3836dd, 0x0a1a8e4f, 0x4755b2da, 0xe72d1130, 0xa1b21886, 0x5a79304c,
+    0xd6dfad12, 0xdc3309c1, 0xcd7571ba, 0xd0e1ef68, 0xf038fcc9, 0xd008446e, 0x0333f37a, 0x6528a607,
+    0x0ca3156e, 0x8640dbc9, 0x848b7459, 0x6c37a058, 0x19e61559, 0x45ea749d, 0xa86631a4, 0xb00f874c,
+    0x2b82dd6c, 0x932fb962, 0x35d786bc, 0xb8365506, 0xad88a7a6, 0xb0825daa, 0x9c26bd36, 0xfd7ae554,
+    0x00000000,
+    0x59729532, 0x0d7b9201, 0xeb42f585, 0x892faad8, 0x7547ce8f, 0x9943f7a7, 0xb9e16741, 0x6dab2020,
+    0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000116294195887297102487891809262080725496582617709970889645038\
+                         43186890228609814366773219056811420217048972200345700258846936553626057834496 */
+  { 0x00000000,
+    0x0870859f, 0x4badd518, 0xb654a415, 0x6f2799b4, 0x95ba8d4e, 0x9f068fdc, 0x9fd87a42, 0x2f35f9b2,
+    0xff59ce53, 0x73276d8d, 0x35fceec6, 0x419dc354, 0x4307d47e, 0x5fc1f0e6, 0xd45e76a6, 0x3f77f3c6,
+    0xe7ee140e, 0x22299936, 0xc445de3c, 0x88d38669, 0xe06c3c86, 0x1a3722dc, 0xaecda8ee, 0x12f4ae29,
+    0xa3d87aae, 0xb75bb7a8, 0xa1f05947, 0x36f3c5ee, 0x6675c020, 0x64d88a20, 0x7bd1e17f, 0x3d5af475,
+    0xa994ee0d, 0x28342e9a, 0x55d8b82b, 0x7155be69, 0xc306fe12, 0xe87307a1, 0xd00523a6, 0xbc7cc731,
+    0x21a70885, 0xdad644d8, 0x870e12f0, 0x7b730b77, 0x94d29918, 0x06f685a8, 0xd827fdc4, 0x10dbd7d6,
+    0xac016321, 0x49d4769c, 0xfd10ccd9, 0x70e23d3c, 0x3d75b88b, 0xb5950f91, 0xa5fc157d, 0x74ee688d,
+    0xed9313ac, 0x76f55a35, 0x7a25b52c, 0xafca307d, 0x35c97452, 0xe6268e45, 0x854ff8d8, 0x99864f93,
+    0x00b9829a, 0xec0fffcc, 0x49586c53, 0x1f0cebb4, 0xba8fe384, 0x0469ed2a, 0x74c67d1f, 0x7af425f5,
+    0xdd86592c, 0x4514c672, 0x39dd4243, 0x99291e46, 0x24f3cfb2, 0xa9f26064, 0xb60bba5b, 0x7f549048,
+    0x6a903682, 0xa908ff77, 0xbcd3219f, 0x2f830175, 0xe88da2b0, 0x1bd28a84, 0xfa64218d, 0x7298b976,
+    0x34ffc1f5, 0x2094d578, 0x1f1535b3, 0x396e1a36, 0xd73905ab, 0xd25ee1df, 0x6b6552c2, 0x305703c8,
+    0xfde16ac0, 0x6fffcd90, 0x0fec4e3e, 0x8ce64d60, 0x9c8f3ce0, 0x57877c9d, 0xada2593c, 0xe75ce5fc,
+    0x94f9799d, 0x847a1293, 0x106e16a8, 0xb10d84de, 0x4b2e36d2, 0x3e0269d6, 0x01895e33, 0x3992d390,
+    0x055e03c8, 0x2fe2c7e6, 0x496a64bb, 0xd8097672, 0xe06b5d11, 0xbd76438d, 0xf6a16287, 0x45c0fdfd,
+    0xf0e829dc, 0x1fcb4e5c, 0x33e59c6a, 0xc83b2a1d, 0x9eb6ceae, 0x69934dea, 0x82029cc9, 0x744d48e9,
+    0xb61bc719, 0x8a8dbcaf, 0xfbe5fa3c, 0x57439cf0, 0x6096b062, 0x9298fa04, 0x10fcf258, 0x3b7a3c00,
+    0xd7e0d636, 0x8a8b0e89, 0x95f0bfb9, 0xd4fa98cd, 0x2ac5c998, 0x32a65aac, 0x281dcbd3, 0x0fedbe57,
+    0x0a6fc677, 0x96cddec7, 0xf1d15f2b, 0x7f07fecc, 0x42be1464, 0x6d628656, 0xc1467bf4, 0x2ca91b69,
+    0x4d105bc7, 0xc6289f16, 0xb885718a, 0x6bb690be, 0xc0270d84, 0x78726a2e, 0x195d86ba, 0x48e083a7,
+    0x876485df, 0x21b20013, 0x6eb284a5, 0x480b0a94, 0x0f8f2d54, 0x051d722c, 0x39a7674a, 0x91bfb50e,
+    0xda2744f7, 0x7eea4f0d, 0x06b249ab, 0x3b7dbd16, 0x0106a7e9, 0x8e689e02, 0x56c5fd59, 0x726fcb90,
+    0xef9ee924, 0x0b0c7ae9, 0x4073b1e2, 0x94edcaac, 0x323817c8, 0x48cf007d, 0x06f064b8, 0x8ca79185,
+    0x3bcd81bd, 0xd078e68d, 0x1c199a57, 0x381ac8fd, 0x701a424f, 0x435cb7b1, 0x0e362c85, 0xa4a90a9b,
+    0x9014feaa, 0x62424406, 0xe7e4cec9, 0x9d816c3b, 0x4343b418, 0xcc713803, 0x21374a97, 0x31791648,
+    0xd26e1575, 0xab604bfa, 0x8bbdeef3, 0x173dc574, 0xf51c0cbf, 0x8a2d287c, 0x0e4bf879, 0x1e0ee47f,
+    0x4384f16a, 0x68b27e09, 0x64e794f3, 0x5f92e1a4, 0x6d2adccf, 0x56fc4050, 0x1d7612b2, 0x6a647c1a,
+    0xc4388217, 0xa8d53e26, 0x6b53ae11, 0x1904970a, 0xd15414f4, 0x41f7f9a4, 0x84627698, 0xfefacd3e,
+    0x7f029e86, 0x3caee05a, 0xf0f4cf43, 0xe2cbad31, 0x8cf6ee8c, 0x6c336a30, 0x5be240ce, 0x787f1162,
+    0x6807fdc3, 0xe0353f79, 0xee4e6415, 0x9cfba3df, 0x2107488c, 0x048039a1, 0x83b91772, 0xa4cfa0ae,
+    0xc383abe1, 0x93c2dd09, 0x92fb1e78, 0x8286cf58, 0x71bdc69e, 0x21bc4cdd, 0xa5b1f9fc, 0x5044f161,
+    0x9d72bee7, 0x98c16f3a, 0x9346cfef, 0xe16f3842, 0x5bb71ba2, 0x6a7f2acf, 0x368f3281, 0x297890e2,
+    0xe3076769, 0x349cce71, 0xc3074660, 0x7fcad5db, 0x48b1c312, 0x4ea75779, 0xeb068466, 0x2a539d3b,
+    0x34cbf681, 0xbba9ac5a, 0xebc2d986, 0xdd3fdb9d, 0x60b72599, 0x329bde63, 0x9a67b614, 0xfcbb64c1,
+    0xb11cd052, 0x2f2404d5, 0x3bb22e0a, 0x41ecff41, 0x3240ab39, 0x59d41d1c, 0x57c5151b, 0x02fb1b1a,
+    0xb6104904, 0x61e8c377, 0xafa5154f, 0x8d5f7f8b, 0x6b70104c, 0x0d987a37, 0x627bcbf5, 0x455fe6e2,
+    0x99f81340, 0xd4afc5f7, 0x0fb6884a, 0xf6be8a00, 0xb232b1e7, 0x73b5b8e8, 0x3f5e0be4, 0xc45c5e6d,
+    0x6b4e976f, 0x09a3729e, 0x29c1dac8, 0xfa0c65d1, 0x1c4dbccd, 0xfd18b0bb, 0x5a8be8fa, 0x5ab1a65c,
+    0x103d21c5, 0xbe5870b3, 0x32f07ec1, 0x04412927, 0x6c927c23, 0xd1d02b3b, 0x8e154f65, 0xc56f1042,
+    0x1a8be02f, 0x93dc0d5f, 0x3c8f047c, 0x4018d8b7, 0x68b46ed7, 0x8031df81, 0xe26151d0, 0xba2122eb,
+    0x69fc47b6, 0x5a801994, 0xe1304409, 0x5045316b, 0x26021f8b, 0xc0d860ac, 0x8e245c16, 0xaf840607,
+    0xf59c0fff, 0x1bae1c55, 0xd513dbcc, 0xad080ced, 0xb409517c, 0xf28a6c2e, 0xec900479, 0xa91c30dd,
+    0x6aa5f31c, 0x0753fbcb, 0x842a05b1, 0xd05584f0, 0x56e4de65, 0xaae35c78, 0x6b93521c, 0x272f4626,
+    0x78f8ce68, 0xa830d986, 0xa7c32ee8, 0xde508455, 0xcc2521cf, 0x9ed53562, 0x030e46c0, 0x60f98e65,
+    0x943ef81c, 0x2f474ab0, 0x99a1af66, 0x54fb1149, 0xaa0561b6, 0xd9ac3d0f, 0x74013ec9, 0x7a7003fc,
+    0x13b69cfb, 0xdae3932f, 0x715e4fe7, 0x18bdb405, 0x6f978793, 0xccd3e681, 0x5a72b409, 0x2150b11b,
+    0xd252bb37, 0x4b588936, 0x1303fca8, 0x3779600a, 0x5d11d5cc, 0x37f8e259, 0x799ece6b, 0xab914c7c,
+    0xeef399e2, 0x4ccabb43, 0x9a0eea4b, 0xc68e4868, 0x0c8f6446, 0x5e6d63d1, 0x2ca47540, 0x15acce0a,
+    0x20d294cc, 0x95dfad41, 0xe8fcac9b, 0x862722a0, 0x4baf98a1, 0x7f3eaecb, 0xdba1a227, 0x81e77f34,
+    0x287dbf08, 0xbe6b623c, 0xdcecad12, 0x1cea6615, 0x0fc2a96c, 0x15fa4737, 0xff7dcf45, 0xc4c8f525,
+    0x217c3f44, 0x56156ab2, 0x91efd1d0, 0x9adb3cdc, 0x76a42d73, 0x3730b699, 0x737d34d9, 0x51057ad4,
+    0x09bb7db2, 0xe8bacf61, 0x5d9024d7, 0x39990ddb, 0x7cf10dfb, 0x37b98045, 0x08e97c19, 0x7f9a717f,
+    0x84788c46, 0xb7fa5fcf, 0xc31f8486, 0x366991c9, 0xfb34d4a6, 0xb9922d76, 0x9589a3d4, 0x16f03869,
+    0x8d29442f, 0x8e02408c, 0xe39399b2, 0x91eecc6f, 0xd6c0df81, 0x72fcfcbb, 0x6139b307, 0xa3b27b33,
+    0x219a930e, 0xe674245f, 0x30892f87, 0x5c9c9165, 0x0629b67e, 0xc4cdb7d1, 0x7c962e2a, 0x9e6dc1b1,
+    0xee3f96a4, 0x94790757, 0x8b260104, 0x93f8ee07, 0x5336dbb5, 0x9f4f4024, 0x47b8460d, 0x637baecf,
+    0x9e96fbcc, 0xfb3e33c0, 0x24f97c67, 0x5f6fd767, 0xe0f1e66d, 0xdf5ce92e, 0x9680bc57, 0xbde43e86,
+    0x83566ff8, 0xf2b446b7, 0x76d5cd5e, 0x600a4f68, 0x14c68e40, 0x07e6ab16, 0x570418ae, 0x4e4a7562,
+    0x68a91c44, 0x3f850d17, 0xcda272a1, 0xe9dbf2f3, 0xc6fdf7c7, 0xadbb7980, 0xb6a5ab3f, 0x7278b375,
+    0x2db4f450, 0x8ece5d73, 0xaca2fc67, 0x76e90d44, 0x8717d43d, 0x4e7aa3da, 0x7408bf11, 0x16c7da47,
+    0xe2abe231, 0x9120628c, 0x2ed55d09, 0x724c73f2, 0xc8e5dc8a, 0x9799aa88, 0xd2f98247, 0xa4b1cd86,
+    0xa934e84d, 0xf77ba4ec, 0xc0602a09, 0xa1d9596d, 0xcd03df08, 0xd41b1c1e, 0x5676e253, 0x68cde866,
+    0x276b8cbd, 0x8fcb7a4c, 0x8b92a2b0, 0x756dbeff, 0x26959bce, 0x568db561, 0xcc59f3c4, 0x3920274b,
+    0xae1cc29d, 0xd394ab93, 0xf8730212, 0x23a624e6, 0x67df0f3f, 0xbd96f60b, 0x6831f908, 0xf96e6c01,
+    0x26201b7f, 0xc4555785, 0xb4ca0913, 0xb7a85017, 0x04ce3fec, 0xdedcd996, 0x750e9df4, 0xdcf27a52,
+    0x587efb04, 0x5ff9acf1, 0xeca28766, 0x94b3bc39, 0x57684c1b, 0x5f4e7b58, 0x32b1c7f6, 0x3fc8d6c6,
+    0xa578992b, 0xa8080a62, 0xa12ee6f8, 0x9dc3ed8f, 0x302e369c, 0x79b09f29, 0xe5e847a8, 0x2802c6cb,
+    0x9cf751a0, 0x8789aa69, 0x27e62de2, 0x0edb6315, 0xe922b579, 0x1696ba67, 0xa085176d, 0x3abdc938,
+    0x4d6f875c, 0xe3a52963, 0xe40d1eae, 0xdbf17784, 0xf9c3de03, 0xb1098e87, 0x6c85fe47, 0x46e34a70,
+    0x3a0f8aa0, 0x04733e2f, 0x22f331de, 0x87b679e5, 0x2b1bd484, 0x147fb22d, 0x8ca32455, 0xb102f9d2,
+    0x8239d283, 0xb4141f21, 0xd5fb1bc8, 0x949eba2e, 0xb6fb1775, 0x52b4a4e2, 0xcac6a87d, 0x7764702f,
+    0xb7faaebc, 0x04f644a6, 0xf0b2f9d9, 0x4d98fd0b, 0xd8e538fd, 0x04b43bde, 0x67488072, 0x073e385c,
+    0x197eb14d, 0x268978dc, 0x91105fa6, 0x9e80d352, 0x2d68016e, 0x4285f4a6, 0x400ab736, 0x968c193e,
+    0x3a7c28f0, 0xf3d8f0fb, 0x456bbc0c, 0x438b5dbc, 0xeeb3fdc6, 0x0d2032c8, 0x6913b8fb, 0x6c070a5e,
+    0x4536b92f, 0x7895c6d6, 0x7fab1a25, 0xb7fde96e, 0x0ba35226, 0x20c724a4, 0x905a6b94, 0xfbe82de8,
+    0x2fc663df, 0x1f304ec7, 0x56b876fa, 0x1e80cf99, 0xbe4e0fa9, 0x592fb607, 0x4036b5c7, 0x889b2007,
+    0xc6a49c20, 0xe89bfffa, 0x5d6a4e39, 0xa64e10b1, 0x0bb5a95c, 0x9a2e54b9, 0x39dd0c55, 0x2880308a,
+    0xce71d9e4, 0x9e5a8279, 0xb8945905, 0xa15cfbea, 0x3004a592, 0x5d32b529, 0x1e4382e3, 0xef18597c,
+    0xc2d1999e, 0xb5a660ea, 0xa578583d, 0x0503e0e0, 0xb1a9e19b, 0xa14b8ba3, 0x16858724, 0xf1920126,
+    0x993f9572, 0xf9a10a6a, 0xf54926b1, 0x72c86dfd, 0x8522de1e, 0x8f6ad9c5, 0x462372a5, 0xd5522a68,
+    0x8da8d690, 0x2e1e0300, 0x0b254ba9, 0xebf4db40, 0x937ce1a0, 0xaf90ae74, 0x84719551, 0x1ba20837,
+    0x770843b9, 0xbb8af74f, 0x4c0eebf1, 0xcf765da9, 0x0aefdb5b, 0xcf5ab264, 0x09c02670, 0x424a11f4,
+    0x0aee07df, 0xfc1401a0, 0x9720fb88, 0x5df26476, 0x7ab3018f, 0x761f1904, 0xc2f91eb0, 0x20491288,
+    0x316c1260, 0x48fb0ab8, 0x9e7a0ac3, 0xc10d7b11, 0x41209ac5, 0xce371df2, 0x0de73ca2, 0x79ed408a,
+    0x12d005ed, 0x96ec6275, 0xacbddda5, 0x184e338f, 0x2cd77b89, 0xf76dbc3d, 0x34917f82, 0xbc4001d6,
+    0x3e67f0b7, 0xe5cc4bb9, 0xffc2fda7, 0xc5812da2, 0x612bdaf0, 0xb685632a, 0x7f5a4cd9, 0x364bc42c,
+    0x6a35f20e, 0xaacfef29, 0x36841c03, 0xe4e67e88, 0x64840b7c, 0xe99704f7, 0xa0832207, 0xf7111de7,
+    0xc020f0b5, 0xd1202913, 0xdef644a4, 0x76147145, 0x0216a99a, 0x92c2daf9, 0xb172c975, 0x2085fe0d,
+    0x696742cc, 0x7813eba6, 0x4912f8ce, 0x1df403be, 0xc5304311, 0xb829eeea, 0xe6240451, 0xb1de7144,
+    0xe5ca290b, 0x080b3ddc, 0x2c9cded6, 0xa67c19b3, 0x159833f3, 0xc05f8ccf, 0xb2548642, 0x8f150a53,
+    0x87452c4a, 0x2f75ecc3, 0xeeb263b2, 0x37bba799, 0x809b1466, 0xf675b00f, 0x3ade8c6e, 0x45018857,
+    0x2ea152ca, 0x043ef700, 0xcf32eb5a, 0x3bfbf04d, 0xc02613d4, 0xff3a74d2, 0x682c8052, 0x97db60b9,
+    0x078794e7, 0x46dc89df, 0xda9181cd, 0x5e383870, 0x0b010016, 0x0d250c97, 0xf8f09201, 0x674cf660,
+    0x14da9cfb, 0x08f9da96, 0x004c78ad, 0xc29b960f, 0x83b20c93, 0x198584a7, 0x419458a5, 0x13c967f3,
+    0xafea5207, 0x488e44a2, 0x8ff3262a, 0x9c005ed6, 0xa0a31015, 0x12e0258c, 0x1cbe59cb, 0xebb15ce6,
+    0xf185e82b, 0x4b185ec3, 0xd0504655, 0xd099c7e8, 0x2dce70f6, 0x1ec335b2, 0x7d1d00ff, 0x1af1d458,
+    0x4bc7f0b3, 0x63f297ea, 0x1247660b, 0xca7a4c6c, 0x4547b710, 0xebc3d771, 0x31798084, 0x82ba378d,
+    0x87a7176b, 0x8facbbbb, 0xc55dfec7, 0x67da62ad, 0x445abec8, 0xd5c25adf, 0x56e0a95d, 0xb7f1e4ea,
+    0x526f03a4, 0x27ac72e1, 0x1982be59, 0x9093c0cd, 0x29c72acc, 0x34cfbab3, 0x2c41d511, 0x7d9023b7,
+    0x4a7f1873, 0x87dbca44, 0x7385430c, 0x6caeca6a, 0xab46ac6a, 0x2cb8b2a3, 0x1d64f554, 0xcef5d056,
+    0x767fd2bd, 0x159ae2f4, 0xe764de15, 0xde00f357, 0x958eda51, 0x9533986b, 0xc50b3bd5, 0x5c9bde4b,
+    0x47a09279, 0x8e4ae0a6, 0x819cabbc, 0xb6c9004e, 0xa3aaba6c, 0x05807907, 0x09315349, 0x7dc5469b,
+    0x70ed7360, 0x50bbc4d7, 0x7c369c40, 0x572ee43d, 0x88bf4f1c, 0x3d8829ef, 0x28b5405b, 0x6f0b1861,
+    0xbebdb7a0, 0x678b4234, 0xa9a5a6ca, 0xcee82e85, 0xeb65d240, 0x1b855ba0, 0x5775fccb, 0x1d8a255e,
+    0xef7ba0fe, 0xfc7ba2da, 0x45d201da, 0x7230ee93, 0x85866a9d, 0x3e954a72, 0x0d43b19a, 0x02b73f57,
+    0x22a1ef32, 0x572f60b5, 0xbf016c89, 0x6e86978b, 0xf420f3ce, 0x1af73b4c, 0x18d16f2e, 0xa8e7cb81,
+    0x7f24da25, 0xe0f30d6a, 0xf80ac3ee, 0xad9947d1, 0xe0a9caf1, 0xac8a52a2, 0xffddbc5b, 0x78b32ef4,
+    0x2cad44a5, 0x31f51611, 0x6f3e03ed, 0x1a3d0e31, 0x1404050f, 0x5a23b3f1, 0x8570b11b, 0x925330ed,
+    0x2fc6edba, 0xbd949b90, 0x17b08762, 0x102e70af, 0xb303cc77, 0xa80e289e, 0x7ad5cd6b, 0xdd1c411e,
+    0xe85e3928, 0x075c7cd2, 0xceb35d5d, 0xf8a7c7c5, 0xe6f1fe32, 0x614ccadc, 0xc12bdbd1, 0xc5169e61,
+    0xc88308c4, 0xb29b8851, 0xccb34026, 0x35eb7dcd, 0x0b8b85a3, 0xbb9ed636, 0x150d336f, 0xd5f247d6,
+    0x673d13d7, 0x9de7474b, 0x46e90675, 0xdc175679, 0x9b0393c3, 0xa2419643, 0x76420911, 0xebfc4c56,
+    0x6702de61, 0xe2eb058f, 0xe0507390, 0x5701defd, 0x9dc236c4, 0xb8e430fb, 0x9f688553, 0x5d1dc31f,
+    0x93636125, 0x9ec15a7e, 0xbfca4674, 0x1ebd288b, 0x7af025b4, 0xe110ca7f, 0x90200802, 0xd187571e,
+    0x47ba181d, 0xacbb2740, 0x7609edb2, 0xd8b64e37, 0x19b44a18, 0x5f1bea0c, 0xcc42f77a, 0x56879429,
+    0x6ca034e3, 0x424975a3, 0x1fe86a16, 0x95339700, 0x891fd000, 0xbd7db11a, 0xb31c1d13, 0xb1690cf2,
+    0xd7920dc6, 0x73f115c0, 0x6b0fbd91, 0x97eb66bd, 0x89f71693, 0xc0c62c1e, 0xa99cad0f, 0x39356e70,
+    0x2f6aa8e0, 0x0e88184f, 0xb874b9e7, 0x7a878692, 0x793f814b, 0x383f397d, 0x501798f3, 0x7712266d,
+    0x3b7bcd28, 0xa0264869, 0x73827c6d, 0x1adabe41, 0x6b76d841, 0x6768ceb3, 0x25744513, 0x8611c4c1,
+    0x22082b97, 0x1e15aac0, 0x17c258ed, 0x32004521, 0x5f50d071, 0x558cdacf, 0xc77264a9, 0x43ce1dce,
+    0x8773cf9d, 0x4188d4a7, 0x70d112fc, 0x24c1e55a, 0xfb6479bc, 0x666e265f, 0x098b6273, 0x031de24d,
+    0x60333290, 0xf5487c22, 0xaac39fdf, 0x960bd33f, 0xd54ac84f, 0x89a23d19, 0xdf7be203, 0x4631dfd3,
+    0x090c7612, 0x69c12588, 0xc1211790, 0xe7ddd5e5, 0x9b1ae236, 0x0f7291d3, 0x69e81ff0, 0x4fec672e,
+    0xd27bff01, 0x7ca25c42, 0x2d58cf74, 0x3e61afaf, 0x36202d2f, 0x90809bdb, 0x2ae6267f, 0xadfb7d95,
+    0x94d501d0, 0x989dff01, 0x7e1669ee, 0xae94be69, 0xd5933f73, 0x75a7129d, 0x54354c26, 0x5d57ed8d,
+    0x53f365d1, 0xf3d7b482, 0xd8370943, 0x00634cbd, 0x018104d5, 0x85eeb069, 0xc3bd489d, 0xfebca674,
+    0x00000000,
+    0xacb94a98, 0x86bdc900, 0x75a17ac2, 0xc497d56c, 0xbaa3e747, 0xcca1fbd3, 0x5cf0b3a0, 0x36d59010,
+    0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000058147097943648551243945904631040362748291308854985444822519\
+                         21593445114304907183386609528405710108524486100172850129423468276813028917248 */
+  { 0x00000000,
+    0x2b3e6c9e, 0x4b45c834, 0x8479ed1a, 0xea248d10, 0xb3d46cac, 0x04e2cdc7, 0xedc5c0ac, 0xed7d1db9,
+    0x3aa5bf2f, 0xc56bb43e, 0xae62da24, 0x897420fe, 0x1dc722dd, 0x3ad2a337, 0xaa789f88, 0x8d740378,
+    0x6c4ec0dc, 0x1f169bae, 0x10be624a, 0xa05a6466, 0x9271c248, 0xd2f6c0e6, 0x18a584eb, 0x63990442,
+    0x92ff8784, 0x89b99737, 0x7d0299e7, 0x899322ad, 0x337459f3, 0x5f2a3f5c, 0xa556d802, 0x66c5f8f0,
+    0xb2df69ce, 0x3b0cb132, 0x9ea9cc84, 0x4bd08e25, 0xcb80f181, 0xf5e82f16, 0xdd58c232, 0x4acd3b59,
+    0x0a72c275, 0x9079151a, 0x5caacdec, 0xdae97cd6, 0xffc73168, 0xb057d31f, 0xc8730e00, 0x72c77a82,
+    0x4a6acf0c, 0x56e84d49, 0x1a267a26, 0xea46e62a, 0xaeb25110, 0xaf0b82c0, 0x886ebc66, 0x83bf4728,
+    0x8650995c, 0x9d2b0abd, 0xf629d2e6, 0xc088ad06, 0xb98a3609, 0xcdcf003e, 0xd64fd275, 0x63acf41b,
+    0xd3d87523, 0x8316122f, 0x497a0932, 0x2b9a5829, 0x6d4028e1, 0x7fb86a2b, 0x6542f575, 0x8d713927,
+    0x382241d9, 0x9f740bd0, 0xb04ce9be, 0xd66e7790, 0xfb34791a, 0x9abe675a, 0xbe59d391, 0x0ab393e7,
+    0xe10c604a, 0xb86ccb5c, 0xb255744f, 0x6d2f697e, 0xb0ee97d0, 0x13c04124, 0x512d40c3, 0x295b5aa1,
+    0x30ae6dfe, 0xaad6f33e, 0x69385b08, 0xe235dfe8, 0xea87c3ac, 0xafd729c4, 0x27cf2bf5, 0x85583b3c,
+    0xdd24e3f1, 0x4c49d914, 0x6325fcae, 0xc02f4a66, 0x0c04cb12, 0x51c3bace, 0x1bb165ba, 0x9d6c2783,
+    0x9cb774d0, 0xd6b8cfdc, 0x206ceac0, 0x564264b6, 0x881f82ff, 0x84df2488, 0xb0cad91b, 0x8f048979,
+    0x43e8e337, 0x8965b4d1, 0x4bd23380, 0x0a3fbc48, 0x1e032c5b, 0xa5a5ba19, 0xa8001f28, 0xda640ab0,
+    0x1eae7de4, 0x550e1c68, 0xbbc62e1b, 0xd43ab326, 0x8cf863f2, 0xc5449513, 0x91afbc81, 0x99bb422e,
+    0xaea50981, 0xa733d002, 0x8b8d89ac, 0x9360ff6c, 0x005628e9, 0xe34ae7d3, 0xd7d2758a, 0xe857cbb6,
+    0x5e718cb8, 0xce3085f3, 0x7d351187, 0xc5b59aba, 0xaa025cc2, 0xcc733785, 0x4928e6aa, 0xd5d3d8de,
+    0x194ef27e, 0xe9eed470, 0x8d590b49, 0x7b3f8e8f, 0x5522bbe4, 0x013e17ab, 0x31e1458e, 0x69c7bbf3,
+    0xe40a6d86, 0x8c278450, 0xf4d150c1, 0xd3cd49a5, 0xfb56c9fd, 0x7edb9802, 0xf0e292c6, 0xc258db79,
+    0xd7a126d9, 0x47f1057f, 0x3a3cb5b1, 0xb907c605, 0x1a1cbb60, 0x8fb48eb6, 0x4d569ffe, 0x5fd6f891,
+    0xa27fa126, 0xefbac3a9, 0x58875ae9, 0xabd9c2a4, 0xa9cf0f76, 0xb30d1436, 0xf7f263b2, 0xf71b2355,
+    0x7f72f568, 0x30971ad9, 0x6a8eb73c, 0x6ac36445, 0xd0c18f87, 0x9ecdd8f2, 0x4b3fd9c0, 0xfc8cdabc,
+    0xb398dd50, 0xae2d0156, 0xb4857673, 0x7124efc2, 0x34896ee4, 0xb6c70622, 0x6ea6f4ae, 0x63d26028,
+    0x461ec3cf, 0xd7bde365, 0x0fc75393, 0xf7b3b5b7, 0x595f5642, 0xac0cc45f, 0xf542df51, 0x354df167,
+    0xf78007c0, 0xdd5807a5, 0xbaac5f7f, 0x17886ac3, 0x3fada541, 0x93a94813, 0x5ef1a34d, 0x7f95e224,
+    0xc1e17cc0, 0x6bbe108f, 0xee473623, 0x7afc1692, 0x4fb50c98, 0x6f0ae6ab, 0xd93c7a84, 0xae30f2d3,
+    0xcdbb60ef, 0x922c2ae5, 0xefc798af, 0x576b9278, 0x1d5fbc5f, 0xc882b170, 0x277b2740, 0xb5d7e801,
+    0x2d281293, 0xd5ad474b, 0x61e381ac, 0x2ef81a37, 0xc7ceec94, 0x179ac047, 0xd8320594, 0xe87c7dbd,
+    0xe19bf78d, 0xd6451b77, 0x8b5d93d3, 0xc588d0c4, 0xdac10633, 0x0ba29bdb, 0xb8d8ea72, 0x2f237bb7,
+    0x44e92d76, 0xc524cd16, 0xb2164f19, 0x879e0c31, 0x66324462, 0x33e8a2cd, 0x2dab9270, 0x9c23be67,
+    0x94277d27, 0x4843aa02, 0xe2ef20d1, 0x5fa48d0e, 0xed2e31a1, 0xcf48f3e7, 0x2627c39f, 0xe8227648,
+    0x4d419e38, 0x7a1f948d, 0x6c3ec807, 0x85c77a2c, 0xb5ff9fe9, 0xcbbd2d79, 0xa6a8c14e, 0x678592eb,
+    0xcd7f61fc, 0x6712f9e4, 0x9691a698, 0x4b7e368a, 0x27a046dd, 0xe389efcb, 0x6cf54f62, 0x758ba4e0,
+    0xbec7fb31, 0x9553dd5f, 0xe630b8cd, 0x46030c51, 0xba4ed074, 0x0468afc9, 0x136539db, 0xc114cbfa,
+    0x6713122d, 0x60608713, 0x0f8b9280, 0xba35841c, 0xad891b1c, 0x482dc438, 0x2a67e6b4, 0xdd584994,
+    0x471f292d, 0xeef82d5c, 0x71e381b8, 0xd5d74e26, 0x6fdf7056, 0xdb7abf14, 0x04760d70, 0xa4940ca0,
+    0x0999bdda, 0x8e4eed17, 0x060a408e, 0x27dcdc2f, 0x4133cdf3, 0xa7f5584a, 0xa74e607f, 0x45542be6,
+    0x67a73d59, 0x611408c8, 0x6059db8b, 0x5d37701b, 0x939044d2, 0x70d3b723, 0x75a3e2f8, 0x063d9b63,
+    0x69a54a31, 0x8ce1e4d1, 0x23b6ed33, 0xf6c4dc4e, 0xd938edb9, 0x838d1fc5, 0xe535bac5, 0xa0296c3c,
+    0x8eacc310, 0xab1d8a7b, 0x407ccaf0, 0x6a9c6646, 0x56f0c4e0, 0x04f71d61, 0x3ee5f438, 0xea077125,
+    0x65b6a307, 0xf9eca48c, 0xe5e3bd33, 0xb378b720, 0xa21eae5b, 0x234f2e3b, 0xa707d491, 0x35b3b64b,
+    0x926b44c1, 0x7f7a31cd, 0xda120035, 0x4df16239, 0x9225b3d5, 0x57dbdb58, 0x1ee53f58, 0x564402f9,
+    0x409d6135, 0xaa64cabc, 0xd395335e, 0xe75e638e, 0xdafda393, 0x7ead8fb1, 0x4697ccc2, 0xa60e9173,
+    0x2289bd02, 0xf5aa1346, 0x595edefe, 0x2b0aa52f, 0xe98547ab, 0x42c242e8, 0x5357d9f4, 0xcc1288c9,
+    0x89ce9e92, 0xe486c12a, 0x3fb36ed3, 0xa9c1dd26, 0x9db852b8, 0xee502a5c, 0xb4daedd9, 0x67421018,
+    0x8eb380c2, 0x0a3af9ba, 0xaa437d24, 0xea9a3b6e, 0x6dda1843, 0xf8e07009, 0xe75c9137, 0xd815805e,
+    0xe25275ef, 0xbece885b, 0x2d09f444, 0xa107d1fa, 0x2e7b7514, 0xbc1b582a, 0xd727bf88, 0xb5394c22,
+    0x3b0ea2bb, 0xb0de0883, 0xb527c1a0, 0x56eb9169, 0x498250a0, 0x0e3fb1bd, 0x05b56b32, 0xdbff7e5b,
+    0x646bec17, 0x37ca6e5e, 0x74444855, 0x09e0de33, 0x50bef2d2, 0x5d5abfea, 0xebc0593d, 0x69255a6a,
+    0x0f0210ff, 0x73ee87a2, 0xcd7198ca, 0x65d03880, 0x511c0335, 0xfdedcab8, 0x14d1293c, 0x8d4b870e,
+    0x1bca6c0c, 0xcf60f634, 0x389248c7, 0x273d202f, 0x0bd5bd66, 0xe61e5d30, 0x227b716c, 0xd774e1d6,
+    0xa368a9a1, 0x7d1be49b, 0x85339c79, 0x03839b7f, 0x05935063, 0x34713c44, 0x9080791c, 0x16889998,
+    0xf6af8105, 0x1e776783, 0xd1140f8a, 0xc9b18940, 0xab61b21b, 0xc1c21c5d, 0x2a55fafe, 0x6c8a884e,
+    0xaef8d463, 0x40a16bea, 0x44cddc4a, 0x6287fef5, 0xd8a20a48, 0x8f42aa34, 0x31a0b23e, 0x6366dde7,
+    0xc8709786, 0x324c9a9a, 0x39fe0192, 0x526da8b6, 0x17c4a411, 0xc06ddf2a, 0xa7f94e9a, 0x2e3d4d6c,
+    0x5b6a23ef, 0x8f9db0ca, 0x19497056, 0x4ebc3ead, 0xb561fb14, 0x16cd997d, 0xe4797895, 0x2cdb6850,
+    0x018d1c2a, 0x162d8789, 0x47c5ce37, 0x1f246c70, 0xac036456, 0xacacf937, 0xe6f6e3c1, 0x3a55b018,
+    0xbe06cced, 0xbc94dd34, 0xdff68d0a, 0xc4709942, 0x48642abf, 0x32df05fb, 0x30b807e9, 0xc05a99b4,
+    0x90d01c52, 0x607c1c4e, 0xee3461eb, 0x10016623, 0x81acd7e7, 0x5c906aea, 0x14e12afe, 0x03f40dfe,
+    0xe2dc25e3, 0xc3cf8e3d, 0xd1f05328, 0x868f2ff3, 0x01982580, 0x85dae7c7, 0x0717b89a, 0x88eead63,
+    0x4297c6e6, 0x493a908a, 0x9ffe896c, 0x839c9f37, 0x33f8ed9e, 0x45be2e33, 0xc7374bda, 0x5c1bf2ce,
+    0x32e1d385, 0xb02d1a15, 0x49d77e2e, 0x4db3b730, 0x3c5dc14a, 0x460f34c6, 0xe08fe6a6, 0x9193b86e,
+    0x17b7306e, 0xb6032f4a, 0x6dfed9a6, 0xa43b5406, 0x32108f9c, 0x3d831fbf, 0x1cb30754, 0x5dfdbcff,
+    0xf5551e44, 0xffa37f42, 0x7951a9c4, 0xd396f7c4, 0x7f6f0c88, 0x308659f7, 0x71c252c8, 0x7e679bd1,
+    0x305125c3, 0x6b81b56b, 0x24b6f07e, 0x24ef884f, 0xf3a4ef2f, 0x2ee1a661, 0xf8d09678, 0xe9f1790c,
+    0x072581d0, 0xa177a9fb, 0xbfc0b8a2, 0x7ced4a0f, 0x0c892b12, 0x9ed2bbc3, 0x8fc1ef58, 0xe8da5c88,
+    0xf23f0568, 0xbba9df2b, 0xec6eb89f, 0x1f2a65e2, 0xd4485c0e, 0xc5a0550e, 0x9231a5ea, 0xf0bf80f5,
+    0x253f9142, 0x754bf0a3, 0x5688d729, 0xda33f0d9, 0x1fc75da6, 0x933ed566, 0x0719ce28, 0x8a8252f5,
+    0xab01d023, 0xab541b85, 0x3ec8d006, 0x88889f81, 0xf624ee3a, 0x774f2e40, 0x8f54564b, 0x2791a0c2,
+    0x2b473997, 0xb8b01177, 0xa7905618, 0x5d1000b3, 0xa23d3585, 0x3590a71a, 0xdac29f2a, 0x6541ea06,
+    0x847f50d9, 0xa3864778, 0x9cf6a31d, 0xc269a55a, 0xd1cb54cf, 0xeb539c83, 0x780f28f6, 0x40531750,
+    0xf796e60d, 0x8f7fb7d8, 0x7e4614fc, 0x3816ad88, 0x0d612995, 0xca1ca9b5, 0x5de1db60, 0xc5c659a1,
+    0x199a961c, 0x157062cb, 0x34f3ea13, 0xf3c9827d, 0x0c679c6b, 0x46cb7645, 0xe49b5056, 0x1a635fec,
+    0x5e198a59, 0xbd7c0d28, 0x780a0dd8, 0x197f1513, 0x55e9865e, 0xe7a33de5, 0x024f1ffc, 0xadabd5d6,
+    0x755ed9a8, 0xc6e1b78b, 0x08477c00, 0x71381601, 0xe271c3f5, 0x6033efd9, 0xa776b632, 0xb8bb5c73,
+    0xd1bbef81, 0xec148a4e, 0xa9121e84, 0x6802613d, 0x05030306, 0xaccefa56, 0xf91053c5, 0x4a4777aa,
+    0x2d155f3a, 0x18f5b06c, 0x7130300b, 0x1cc24708, 0x142428f9, 0x0d0d000d, 0x25017228, 0x33fb50b5,
+    0x080fa909, 0xf630f56a, 0x3879f27d, 0x567f27c4, 0xaece2bca, 0x6866a67f, 0xeb3e3c49, 0x26744451,
+    0xa7697ee0, 0xe05dde95, 0x42d5fa32, 0x279b6692, 0x60ffe8bc, 0x8e437536, 0x8025a517, 0x259de3cd,
+    0xe084bd8d, 0x6b86ac27, 0x6076b8b9, 0xed77357e, 0xfb1cb7ba, 0x7cf347e8, 0xd091cadc, 0x8ed7ab54,
+    0x36eb1ed9, 0x603811b0, 0xde396185, 0x677eaae3, 0x9ea99526, 0x2dcea0d9, 0xd551cf31, 0x974fd513,
+    0xfc2bd566, 0x5cb14c52, 0x84a581ab, 0xd7320061, 0x1f92da57, 0x7a2604bf, 0x8f9b955f, 0xdc2310c5,
+    0x0ebf7ddb, 0x38eecc18, 0x1a819e5b, 0xe72b0344, 0x3134bbdf, 0xc64640f1, 0xbd175361, 0x564e3ca5,
+    0x114b891b, 0xf546371b, 0x0e4874b3, 0x35c326b9, 0x5e2b2d7b, 0x14d048e6, 0xb03c91c5, 0xbbe97da7,
+    0x0aaea2ce, 0xe903f58b, 0xeb38d6bd, 0x2b24b80f, 0x19e6f8e5, 0xbe8bf4a2, 0xe51cf314, 0x7a9aea3e,
+    0x8e132099, 0x946729ac, 0xc9480702, 0xd0a77158, 0xfa3230d7, 0x36180280, 0x0e587150, 0xa6d98451,
+    0x3181dcee, 0xb7505907, 0xbb40d6a4, 0x4fbf3cbf, 0x429fa6bb, 0xef5b4a91, 0x24e2c94e, 0x12d690de,
+    0xb3cae562, 0x94703f29, 0xbb57e496, 0x291a694a, 0x89e21f29, 0x0188aa1a, 0x6d01c077, 0xe83c7758,
+    0x08f2f611, 0xb41d76bf, 0x3b4c39ac, 0xd680de05, 0x7134e2c1, 0xa86ce767, 0xe686df54, 0x7f2695a1,
+    0xf1552437, 0x932cf48d, 0xdc70cb5a, 0x36181262, 0x05a830ea, 0x136db60b, 0x8129219f, 0x979c196c,
+    0xe41c039d, 0x482c4c90, 0x0435dbd5, 0xc82dcc95, 0xdbd9f670, 0xe473c0f1, 0x74216824, 0xcc3ac224,
+    0xf2f6288b, 0x32cd5907, 0x4c0a7f84, 0x0e091aa3, 0x9a35a7cb, 0xf4363ac5, 0xc2a27673, 0xb6de786c,
+    0x7b315182, 0x33f33d18, 0x8c88082d, 0x5ef56d8b, 0xe99ecec5, 0xe771f296, 0x9df88385, 0xda12a3cd,
+    0xf73866bc, 0x4d4676d5, 0x20dfdd46, 0x4412578c, 0x4ac9e3be, 0x9356b524, 0xbad10814, 0xf690abca,
+    0x40c4bebb, 0x88e5d846, 0x11908a49, 0xcb4007c2, 0x79b72047, 0x260cf51f, 0xbb509b3d, 0x8ef60b92,
+    0xe2a173aa, 0xc30a12f8, 0x56980a87, 0xfebebe88, 0x7817ce3b, 0xf99362bc, 0xe4a2d8fb, 0xafe9382a,
+    0xc2dcc79c, 0xe7b8e8b3, 0xa61ef2a1, 0x9e8ec5db, 0xc6fd529c, 0xaf26b7dd, 0x8497c7bf, 0x8b59765c,
+    0x2dbdcc19, 0xb991ea8f, 0x0957eda5, 0x31b8207c, 0xaeb1831f, 0xf650177f, 0x587c25df, 0x36bff12b,
+    0xb6400e7c, 0x9a9f8d83, 0x73432083, 0xa0e9e7b4, 0xb8b0cf27, 0xec03fb62, 0xf9623019, 0x36cd3895,
+    0xc0887404, 0xef7f2fc8, 0xa87039ed, 0xde65594e, 0x22c77483, 0xf67b96df, 0xe1886543, 0x3c66b7af,
+    0xde45db8a, 0x46e29405, 0xc2efbfc9, 0x75ce56cd, 0xe9eb6e9a, 0xc6f0ce4c, 0x0ab34c40, 0x90636725,
+    0x96bdb7eb, 0x7c10214f, 0xc2c8907c, 0xc515767e, 0xea561d40, 0x518ae7fc, 0x340b88d4, 0x0313144e,
+    0x8ebaa97f, 0x5448a832, 0x766f4047, 0x97e24081, 0x390753e7, 0xbe076e60, 0x9e3637b0, 0x8cd045b0,
+    0x97b7825e, 0xdc1a1bef, 0x4614e43e, 0xab01f9a6, 0x205bc886, 0x1329c670, 0xc867c71e, 0x1d7b436e,
+    0x01897fa8, 0x69dc623e, 0xc8dd328e, 0xc8f2c74b, 0xd08a2edd, 0xa1a345d5, 0x56a1f83c, 0x605612d2,
+    0xdd310ded, 0x1ec6bd11, 0x8ddaebf7, 0xfb3054d4, 0xceebddd1, 0xd287143e, 0x06b9b713, 0x0638a420,
+    0xfee2c646, 0xa9c8c3e2, 0x61397a97, 0x6d02e27b, 0x0d719dc6, 0x07ca48d4, 0x8d41a5e9, 0x2f82103d,
+    0x2d59ed78, 0xed7b5be2, 0xac00ace0, 0x1d69e5c3, 0x755cb7f5, 0x7d1cf0e6, 0x1b92f9f6, 0xa7a85ca5,
+    0xdedf1fc3, 0x0f4edaab, 0xc11b3b2e, 0x40880cdc, 0x2b1b147f, 0x87859e23, 0x942969ca, 0xabe349c8,
+    0x306879e6, 0x6965becc, 0x3838ba44, 0x9aa5fdd9, 0x50845944, 0x215256f1, 0x0fbbbdb5, 0x50bc1532,
+    0x5ee571fb, 0x5fac6545, 0x5826770b, 0xf3df4260, 0x3d5d5856, 0xb66fb02a, 0xbe46e265, 0x2ee9b03e,
+    0x13692887, 0xe9a8d6ef, 0x349b4f6c, 0x842398bd, 0xe1fde079, 0x15b1e56a, 0x0365d32e, 0xbc854c73,
+    0xc41391b5, 0xf600ea0d, 0x7c28f9e4, 0xc2d76011, 0x88808ec4, 0x07bda025, 0x81feb28e, 0x8c982909,
+    0x7c401df3, 0x18192dc9, 0xbf01d08f, 0x9f32ce69, 0x86ecf987, 0x44636eeb, 0x97423acd, 0x76934dbd,
+    0x75fa1b99, 0xa1859fc1, 0xc4528c7d, 0x57dd4281, 0x39ebbefe, 0xad13695f, 0x61209edf, 0xc3003c27,
+    0x4d3e09d2, 0x7fba0756, 0x87d4ed10, 0x11be384b, 0x926bc179, 0x0825d5f9, 0x4aa7f7f7, 0xf4a506ea,
+    0x6817c075, 0x84682ad9, 0x529fd149, 0xdd528146, 0xb2f80d81, 0x927cc9fa, 0xc515e644, 0x9dd1e430,
+    0x3c66c670, 0x4c2b972f, 0xf843885b, 0xd8419a91, 0x197f18f8, 0xed1775be, 0xfe0e0834, 0x010c4a98,
+    0x1bb531a7, 0x8544abbd, 0x8c52224c, 0xa8803916, 0xdb981271, 0xaa96cd68, 0x5073999c, 0x174e8b67,
+    0x25da7701, 0x2581d79b, 0x809be922, 0xd684419f, 0x742e0352, 0x844bb0c6, 0x3e79c594, 0x147b7808,
+    0x10dc4c02, 0x01c58868, 0x6b535175, 0x343b8288, 0xf230d33a, 0xc691861e, 0x5d5c6de0, 0x433d4913,
+    0x25af95d1, 0xb239cb6d, 0x82a76eef, 0xfc3e45b6, 0xdfa6df46, 0x797cb139, 0x828c620b, 0xed18635d,
+    0x277746b4, 0x13307f0c, 0x4e10787d, 0x233a86af, 0xc9959914, 0x1224ac94, 0x2c561190, 0x13b2fbfe,
+    0x2f13aa54, 0x2cddf3dc, 0x6b9602b6, 0xa8ef1928, 0xcf7dc001, 0xaa0f2071, 0x2584dcc7, 0xd568a512,
+    0xf4e610e7, 0x4ba21830, 0x30408bf1, 0x07464ef6, 0x68cd6381, 0xcaa99798, 0xa7df4a4f, 0xff5e200c,
+    0x00000000,
+    0x565ca54b, 0x435ee480, 0x3ad0bd61, 0xe24beab6, 0xdd51f3a3, 0x6650fde9, 0x2e7859d0, 0x1b6ac808,
+    0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000029073548971824275621972952315520181374145654427492722411259\
+                         60796722557152453591693304764202855054262243050086425064711734138406514458624 */
+  { 0x00000000,
+    0x53b51702, 0x14431363, 0xacd21c8f, 0x941c0d0b, 0x5c135efb, 0xd584b603, 0x94e50cc5, 0x757f9bd2,
+    0x686a1a89, 0xd5d5ea5d, 0x59290d9d, 0x4c6700aa, 0xbe159f0b, 0xa2e3895b, 0x135c2209, 0xb820936d,
+    0x51cc51ac, 0x9a281068, 0x0904e86d, 0x7c164926, 0x60352920, 0xa5162095, 0x699cdc08, 0xfcc22cec,
+    0x176712ab, 0x3b25a466, 0x34878436, 0x3c6825f1, 0x14c994c2, 0x828d1769, 0x0fdbce78, 0x96655795,
+    0xea653aa6, 0xaae1e5e6, 0x7847f7fa, 0xb7350a8d, 0xebcab77a, 0x7dae4225, 0x948f7aee, 0x9eb5d10f,
+    0x8b10dd79, 0x77d81d5e, 0x80c9fc45, 0x2f6b3d1b, 0x9d07d7dc, 0x7e66753a, 0x27848b2a, 0x99d1e6df,
+    0x1ad1f525, 0xb7204e83, 0xca98ff98, 0xbd98c959, 0x22fe9a1b, 0x1fb24b2f, 0x3deb8d35, 0x603eed86,
+    0x32026b0d, 0x7ea6d6a5, 0x31435195, 0x4f131f47, 0x55793d67, 0x3eb101be, 0x5a03ce94, 0x637517d5,
+    0x72e4bf8f, 0x3d067464, 0x5a914d28, 0xf8d9d10e, 0xbd3337cf, 0x57bb7deb, 0xe51aab74, 0xa006831d,
+    0x09ed7eb4, 0x869d82c2, 0x381d14f8, 0x1e9c77ca, 0x22bc68f6, 0x21a1e870, 0xbb0c1eb7, 0x3be0912a,
+    0x8aef5e52, 0x2d4e15d1, 0x01791936, 0xdc78d7b9, 0x2ce83e32, 0x6ef3c6db, 0x5d8d7aeb, 0x7417b046,
+    0x9ee9a4c6, 0x1452376d, 0xe2e52b7c, 0x4811edf6, 0x983c2ff0, 0x45eea4a2, 0xeb8226c5, 0x0e3d3e5b,
+    0xa05465f5, 0xe1a284dd, 0x30abe762, 0xa9bdd0b5, 0x2086ca7e, 0xb227bc87, 0x5a10be8e, 0xbff57b40,
+    0x5a0891aa, 0x76dee091, 0x314c8a6b, 0x90b76441, 0x04f197e8, 0x22b2e9cf, 0x4951ad91, 0x07673089,
+    0x8db8c80e, 0x8cbf57d1, 0x9fd2a546, 0x369610ea, 0x77753001, 0xb5c09b97, 0x9418b8a9, 0xb3fc25cd,
+    0xae1f6ca6, 0xa84a20b0, 0x1b0da897, 0xf0fbfe1f, 0x61104374, 0x2a94edc4, 0x15f45c3c, 0x25ac4a24,
+    0xa773adc0, 0xf4b07d49, 0x97d5e1ba, 0xc29562e7, 0xc295aa0a, 0x693fc76d, 0x717dc907, 0xfa6dbd5a,
+    0x4e8464a6, 0x030094a5, 0x8b4a4552, 0xc243bebd, 0xbf2860ef, 0xc8e4aef7, 0x5153c501, 0xab75a276,
+    0x2e5e6709, 0x545a7437, 0xe1965ad7, 0x9fbef042, 0xd9546179, 0x98146bd1, 0xef76ccda, 0x8e6f3575,
+    0x8740f139, 0xf57d71e1, 0xf55a0ca8, 0x31b304c9, 0xc97fed96, 0x9959182e, 0xeca70ab8, 0xb87e9f09,
+    0x36f7ecf2, 0xed658451, 0xe2c8b20e, 0x2234dddb, 0x1fad6bdf, 0x554b8007, 0x24bea3d0, 0xfc5dfdb8,
+    0xe5ed5c92, 0xa518d521, 0x14b2ec52, 0xc1d9eef6, 0x934a539e, 0xc47c581f, 0x5b298290, 0x54bbeea8,
+    0xd5ffc1de, 0xdf90e18a, 0x6ed631c1, 0xcd810772, 0x21b42991, 0xa6076fe6, 0xea9f46af, 0xc5834f99,
+    0x8d9012c9, 0xa2d35aa0, 0xf4271d26, 0xed1faa49, 0x12169a9b, 0x6656aca3, 0xece082d0, 0x177cbecc,
+    0xd02cbce6, 0x5cc4d2cc, 0x2c7f6a6d, 0xccaa2dbb, 0x2bbb2fb5, 0x330f5f8c, 0xb76012ec, 0x28a3c776,
+    0x77af68cb, 0x88670971, 0xec18a67b, 0xe720c72e, 0x8d8bb937, 0xc818459b, 0xf9f5dc9b, 0x925cf7eb,
+    0x8b111390, 0xa68c4378, 0xe347a37b, 0xc1a06b00, 0x2a373024, 0xd2ac2fe9, 0x804a98c9, 0x69fd9dd8,
+    0x94a79910, 0x6d2b1591, 0x1e4e78b3, 0x5e55a665, 0x7bf133a8, 0x49517542, 0x7cab191d, 0x5c5e2705,
+    0x10b4fb81, 0xe57760f5, 0x66200010, 0x31f5cd1a, 0xb9fe680a, 0x3d087a9d, 0x941dfede, 0x50fc2321,
+    0x89242721, 0xda70fcb2, 0xa3f1512c, 0x93d7a860, 0x465f28be, 0xde704a46, 0x49bc0e88, 0x86695ea9,
+    0x65e1654e, 0xf45aea06, 0x267389a7, 0x81b99eaa, 0xf3fbe172, 0x6c065a9a, 0xaa80a3bb, 0x0c06f3e9,
+    0x41e424a0, 0x9441a2c6, 0x2b4d2c9d, 0x19f63cdb, 0x9ac98bae, 0x1658dc30, 0x0a1bb988, 0x902b44be,
+    0x297a8569, 0xaeb270c2, 0x76f3dbce, 0x6e5fe68c, 0x126fb6ea, 0x3cfa921a, 0x9f1b7fd3, 0xbc9523a6,
+    0x9d285d04, 0x8cfe094a, 0x7f2ead05, 0xbafe9ea6, 0xc13561d9, 0x6cde0194, 0x27219b9b, 0x577918e8,
+    0xf173b127, 0xbf8abc39, 0xc48c8638, 0x1f8bb75c, 0x908492c0, 0xa9d82eee, 0x076294bc, 0x708b0f24,
+    0xb1369fb2, 0xfed6b21b, 0x0cb8ecc7, 0x398dc90e, 0x5aac09bb, 0xfe5687c1, 0x76ea896e, 0x58c5c472,
+    0x6093f019, 0xc27548b5, 0xf8cdbbfd, 0x6ad2b3a2, 0xd0cdf15f, 0xc9ca5d7f, 0x840407ec, 0x68890c2c,
+    0x1fa3d16a, 0xb68be2e7, 0x84f7dc06, 0x78d7b0b3, 0x399133fd, 0x848bca27, 0x26492846, 0x421b4ec1,
+    0xd87b3a52, 0x21cf7bad, 0xcca6dafd, 0x6150eb03, 0xdfb557a5, 0x79632f13, 0xa96bec82, 0x99d4cc43,
+    0x9f00fde4, 0x14b59b03, 0xead7f248, 0xa5798075, 0xb02e86d9, 0x78c77445, 0xe3e53db1, 0x189fc5fc,
+    0xc1b6b929, 0x743b8878, 0xbc979eb8, 0x5a7d9f89, 0xdea92bc8, 0xc6f71c2e, 0x91f1f7b3, 0xa5874efe,
+    0x6e587635, 0xfd0e61fc, 0x034ab46d, 0x230a16a9, 0x7ef20e87, 0xdefffc80, 0x016638a1, 0xa8ad2d80,
+    0xe009281d, 0xb39ed2b1, 0x80efd65e, 0xed438cd5, 0x41865c8f, 0x3d6b1d41, 0x597e7126, 0x8a291c8c,
+    0xf92ebaff, 0x70d78599, 0x985f2af9, 0x275e8237, 0xf8c3d8d1, 0xf1c3d72c, 0x6e23feb0, 0x373d92e1,
+    0x4263288e, 0x111228cb, 0x98630953, 0x23bee011, 0x02daf74b, 0xa1dd08be, 0x0bd68fc8, 0xf19401d9,
+    0x2128c0f1, 0x1984dd69, 0xed25b28a, 0x7dc05f61, 0xe5153c75, 0xb9cd417c, 0x96916b75, 0xe534de3d,
+    0x08cd0c2e, 0x4f337c15, 0x5a5f4973, 0x7dcc27d8, 0x3ef66358, 0x7df9cc7a, 0xc22baa04, 0x2ff5b666,
+    0x5eddca09, 0x06aa86c1, 0xf00f6545, 0x6fcabf5e, 0x09294bdb, 0xb3504a90, 0x20b57970, 0xb9b84163,
+    0xf1d4ff7f, 0xf2b5dafc, 0x6dc2bd99, 0xd9465e0f, 0xa81cecd6, 0x0c3fa8bf, 0xefc5893d, 0x440b2798,
+    0x118a1b2f, 0xeff6f2d3, 0x10fbef5d, 0x91b9ba60, 0xdd6924d3, 0xdd4d7435, 0x6c5a8a8c, 0x5ce22e5c,
+    0x800b3cfd, 0x285126d4, 0xa74d28d8, 0x45a18ed9, 0x09a64969, 0xbc678450, 0xa0084743, 0x039182e5,
+    0xb8c8f0c3, 0xfcc230ac, 0x9add86cc, 0x21b0a44c, 0xd36c4452, 0x4389b73f, 0xd3f20b0f, 0x5752a64c,
+    0x59a9518e, 0xf4eebb29, 0x25a67015, 0xaeeba1a7, 0xd6524de1, 0x9aea9130, 0x18c33b27, 0xfed7393f,
+    0x5d5e28c7, 0xdd1d98f9, 0x513f695d, 0xcad0e825, 0x286ec8fc, 0xa4b5c14b, 0xac560f6c, 0x0dc67eaf,
+    0xc9f07bbe, 0x075b2c3e, 0x9bb32e90, 0xd616ffda, 0x88356c39, 0x15d0c186, 0xfe19d166, 0x814b7a4b,
+    0xe2e15e78, 0x00ee3750, 0x09819b48, 0x969d15c2, 0x189e75e2, 0x093b1c0b, 0x5d0c8ea8, 0x5619608f,
+    0xac7885c3, 0xb2e97597, 0xb0e294a7, 0x81118cf3, 0xd72ffc8c, 0x746f5993, 0x33746718, 0xfd24639f,
+    0x26983f80, 0x06909475, 0x8282ca11, 0x2d275e24, 0x626a5db3, 0x90a752c0, 0x6a0086b2, 0xf68a9c51,
+    0x15ac679d, 0x128b87da, 0x9b5df8b4, 0xb1029417, 0xbe3cd578, 0x245fc1a9, 0xd337b7ac, 0xf1ec26b5,
+    0x03d076f1, 0xdde15fac, 0x3704aadf, 0xfab508b6, 0x1d627453, 0x39b17c39, 0x3a742caf, 0x35c9c1b7,
+    0x4634164a, 0xaaf1e489, 0x5318ccdc, 0x9f8d6020, 0x8f9c3ba0, 0xa2fe8bcb, 0xff6536d2, 0xaacc776f,
+    0x85f7f8d9, 0x661af5c7, 0xc13182fa, 0x32dbf9fa, 0x81415f2e, 0x2636c666, 0x69624e5f, 0xab69017f,
+    0x181a76a1, 0xad326b63, 0x1d5e244f, 0x52e4217f, 0x0add0c95, 0xc6ec3d9d, 0xbdff2efc, 0x70463eb0,
+    0x26229626, 0x34af07c5, 0x4928a6eb, 0xd2f7c1d8, 0x6cdf2ad5, 0xa151bc83, 0xce862ebb, 0xd1ce362a,
+    0x9246fb77, 0x353e04e1, 0xde37459c, 0x5ceb1a77, 0xa97029d1, 0x187870fb, 0x03f011cd, 0x5321c759,
+    0xa19a5906, 0x906ee042, 0xa5033165, 0x16836181, 0xe7d9cf45, 0xd3e632e3, 0x30a631fc, 0x296078aa,
+    0xdcc2510a, 0xfa822367, 0x508281eb, 0xd4fa53af, 0x8dd77419, 0x7f0d5a5f, 0xaf9240cb, 0x6c5dcd77,
+    0x2038f6f8, 0xc7c337b0, 0xf965f1aa, 0xb6c81cc2, 0xf4ca4452, 0x19b3f7ec, 0x945128de, 0xf534ee35,
+    0x48f53ecc, 0x656402a2, 0xfa4274b1, 0x9ce9b60e, 0xc16692d0, 0x884eb04e, 0x0a9af5cb, 0x0e8aae69,
+    0xc89b5c1a, 0xb8173fd6, 0x6e07c3d5, 0xb0b0e3f2, 0xf0181254, 0xa97370a2, 0x90cba2f7, 0xc72999dc,
+    0x469c9ae6, 0x04d285ea, 0x8a9d8dc2, 0x88f1fed5, 0xa3cf43c1, 0xcb3e537a, 0xc550e0e2, 0x69169862,
+    0xe37890eb, 0x5838eea3, 0x9a94d42b, 0x85182a33, 0xc36cc23d, 0xf5e43cc4, 0x5c774f57, 0x1a1ba69e,
+    0x362dc6c2, 0x94247992, 0x965ae2b5, 0x69a093d5, 0xcf1bb72c, 0x95049b57, 0x53a13e8b, 0x137730b0,
+    0x8809d3f6, 0xe3644f2e, 0xba368c40, 0x466aaa90, 0x41051edb, 0x26d7cf2b, 0x79af620e, 0xbb8e6215,
+    0x5bae68cf, 0xc622ea56, 0xfc26ab28, 0x4099c487, 0xf2de2d50, 0x1cdb8b14, 0x5bbb7aba, 0xbede7c13,
+    0x11327245, 0x19473809, 0xf0ac45bd, 0x58a15f08, 0x9f879ff4, 0x69c3bdd7, 0x2a4bf1ca, 0xa99520b7,
+    0x8309723e, 0x212e1bbc, 0x133275d7, 0x3d17016a, 0x04a8b642, 0x70f05472, 0xee9dd031, 0x2d0d29eb,
+    0xbfd8e6fe, 0x1b1a4200, 0xa1235936, 0x93f9f597, 0x9f240014, 0x33f7f57a, 0x455a16d3, 0xd5b285ff,
+    0x501d0939, 0x1b30e7f9, 0x106993ea, 0x30cda70e, 0xa2043abd, 0xaa2eea6d, 0x8e4805b3, 0xba9e1053,
+    0xb5786925, 0xc07932c1, 0x78881204, 0x64bdc330, 0xf9bcf7e0, 0x06d3b73c, 0x17989122, 0x8f491237,
+    0xa600d3ff, 0xca9e6d9e, 0x93498892, 0xa8389edf, 0x5077c2c9, 0x777ee387, 0x9ed85460, 0x7744bd1c,
+    0x322c02cb, 0x82c2a6b0, 0xb2d6efa9, 0x107a76a4, 0xc13273c3, 0x11c46388, 0x66489128, 0x49aebc41,
+    0x1238c5af, 0xfb69f288, 0xb5c71c32, 0x9711594a, 0xc178b713, 0x9f9d2f91, 0xe62fc899, 0x66181593,
+    0x0a3b5e3c, 0x14ed072b, 0x626e129c, 0x797e22da, 0x55bcf939, 0x93ce6375, 0xf89f3fb8, 0x78cf95a9,
+    0xd48e5160, 0xd0c9a516, 0x9dcf5822, 0xfa30ab64, 0x70ebf1a0, 0xe5326de4, 0x2bdfa3a6, 0xdbe9f47c,
+    0x35b3bef4, 0xe6c394d1, 0x167ca05d, 0x2dfcba9c, 0xd5167e77, 0xdbc1c147, 0x5c6a27bd, 0xef8b85a9,
+    0xbaba839b, 0x3cdbc62e, 0xcead0143, 0x683987be, 0xd1ad0938, 0x79ed5ecf, 0xae622c72, 0xead7e8f7,
+    0x7e90245b, 0x1b7089cb, 0x6b1e1cdb, 0x0bb59fe5, 0x75efefcf, 0x188287bc, 0xa37646f9, 0x0c52d271,
+    0xdfd9bbb5, 0x2fbf82db, 0xb837fe50, 0xd84166a3, 0xe70c07ec, 0xefd3ba0f, 0x6701bb2f, 0x70be59d6,
+    0x50c291e2, 0x04e985a5, 0x1da5ac74, 0x5a6800ba, 0x3b5e9799, 0x891dfb0e, 0x8a395d40, 0x67be0113,
+    0xfd097a6c, 0x74b106ea, 0x53147544, 0x07939722, 0x0e4840e1, 0xbd8d79bd, 0x7175e72c, 0x2e646fce,
+    0xe72219bf, 0x50c9447c, 0x51534ef6, 0xc206524d, 0x8407a93f, 0xf6770520, 0x55bff896, 0x20442e29,
+    0xb98a02ae, 0x095ff489, 0x5e2447d2, 0x3f2cb627, 0x28b120a5, 0x0dd360e4, 0xdbac699f, 0x53f3830f,
+    0x2f552531, 0x8eb30513, 0x55ebd57f, 0x4f515afb, 0xfff92551, 0x96654d05, 0x012f8eac, 0x893fa0b4,
+    0x08218685, 0xbc8547dc, 0x7cc74ce2, 0xb2a7e885, 0x2ccb4f79, 0xba5265c8, 0xcc978586, 0xe1d59077,
+    0xebef1d52, 0x9916c14d, 0x9b0c205c, 0xd2db8caa, 0x9645b774, 0x9fa88434, 0x46434340, 0x53e4dce4,
+    0x68e81bfd, 0xbb51bb15, 0xd58a5703, 0xfd6528db, 0x79617440, 0x8fbefbf7, 0x4ad5ad0b, 0x43d82902,
+    0xff9b1c78, 0xb5dc754a, 0xa22114b6, 0x615d4d5b, 0xc2f7a04a, 0xd7399e69, 0x10a0bf65, 0xb0cfc10a,
+    0x1d4e36f4, 0xde0354ba, 0xa76f1db6, 0x29f9bcf6, 0xf4dad408, 0x69f38277, 0x3c4d5b45, 0x8577322e,
+    0x4d4f125e, 0xde2ad118, 0x4a43deab, 0x3b721247, 0xaa453726, 0x7587037d, 0x512b6abf, 0xf4d35b70,
+    0x85f4033d, 0x89410d94, 0xfde4ae48, 0x4e4bb04f, 0x76e8d96a, 0x7bea0806, 0x12756024, 0x03857337,
+    0xc640fa96, 0xc2b31179, 0x92c88542, 0x1ea765ee, 0xfc543af1, 0xd7714bb6, 0xcdf360a5, 0x983326a8,
+    0x6ef5c56a, 0x9f8a52de, 0x98c804f5, 0x28f90d6e, 0x68e3f6b5, 0x9be6756c, 0x80ed0619, 0xb2e8697d,
+    0x63cf58e3, 0x097e50b1, 0xdba29a4b, 0xc5e8662e, 0x00a21f1e, 0x3e641881, 0x29fe1af9, 0x634929b8,
+    0x85d9ba48, 0x3a2138fc, 0xd6d36f64, 0xec8f626e, 0x0ec3011e, 0x46463586, 0xb2d249ef, 0xa6458b86,
+    0x255d220b, 0xde2c23a7, 0x1b82b47d, 0xa898772c, 0xf55ff84a, 0x7ca1deae, 0x4d655548, 0x5b5a799d,
+    0xa40e7dab, 0x03f62f45, 0x713b0b66, 0x7f9dcdbe, 0x43babfb9, 0x88c8e81d, 0xe58f1c1f, 0xec0d1d7b,
+    0x3b87cb98, 0x72dc16e8, 0x96702b87, 0x46111697, 0x2bc93b9f, 0x1b723e4b, 0x74efae13, 0xa6cd06e2,
+    0x0b61ed07, 0xc0db41f9, 0x45e40358, 0x26af84ff, 0x914fccce, 0x97539fc3, 0x83a19ad3, 0xe4249502,
+    0x50ba49d9, 0x64ccc402, 0x2e1d8ea2, 0xa1f85624, 0xf69edbdd, 0x15630a0b, 0x388433fd, 0x97c9d9a3,
+    0x3fc6179e, 0xc75e2056, 0xdd200fb3, 0xf8e430aa, 0x36bfbdec, 0x9d4de796, 0xab6a5d78, 0x80abb68f,
+    0x8da09533, 0xbd199285, 0x10282e0d, 0xd3410d9d, 0xd6a20a38, 0x7b11b017, 0x9ad4da25, 0x3c4195c0,
+    0xae4351de, 0x154d164b, 0x74eaf81c, 0x71384b49, 0x06802f05, 0x1d2352e0, 0x90aa5f72, 0x647d03f4,
+    0x7aa4632d, 0x45469bac, 0xe42fd15b, 0x129dd87d, 0xef9a27fc, 0xbba2725f, 0x70f55dcf, 0x14977a07,
+    0xd4bc2012, 0x72593a07, 0xe7c23998, 0xd788748f, 0x06266f94, 0x72a29a5f, 0x4b725eb3, 0xcb24e34b,
+    0xcb325f60, 0x0725edfe, 0x346441ab, 0xfa5d16fe, 0x16680556, 0x2ecfbad9, 0xae89e5cc, 0x76293ebd,
+    0x6e414dfd, 0x9b4c8b5e, 0x89c9677d, 0xd9d98c90, 0x30a6d5ba, 0x32850a6b, 0x32917838, 0x4e72e7f3,
+    0x845bbf88, 0x59490f78, 0x17f43fd1, 0xe5a4b4dc, 0x70cdc02c, 0xfa267f6f, 0x457390d7, 0x083a0815,
+    0x5ed3e369, 0x9b5f4e5a, 0xb2fa55c8, 0x8167b165, 0x0c6348e4, 0x9096fdca, 0x486cc53d, 0x4ce3a81b,
+    0xab7991c2, 0xf7a51ab3, 0x23446fd2, 0xa9270156, 0x3f8aacdb, 0x0fc3f4ca, 0xae4c62b8, 0x2023dbbf,
+    0x2a394b23, 0xb588aa17, 0x0ad9ec5e, 0xc72d761e, 0x251bf983, 0x467d09e0, 0xc83bffcd, 0xd83f01b0,
+    0x30a8d6a0, 0x8bef7417, 0xcb406522, 0xc7b13762, 0x35589203, 0xb5499a09, 0xe77b03d7, 0x7e394f57,
+    0xcdc9e3bf, 0xd2914949, 0xef3c82c8, 0x43232676, 0xa0a63d81, 0xe24d394c, 0xfc804cdd, 0xea149303,
+    0xb53138e4, 0x9cf30560, 0x9830d664, 0xbcff757f, 0x2618c7c8, 0xf4b89f6f, 0x5e8f5231, 0xd337d212,
+    0x9de9de78, 0x5f0635e8, 0x80da6c73, 0x2c85e381, 0x47d6d25a, 0x3f76dc61, 0x305cbfa6, 0x956784fb,
+    0xa545d435, 0x2f09922f, 0xade92e19, 0xdd7b2bf0, 0x1b6dc4ab, 0x48c4f0fa, 0xdd3e24ff, 0xb4cbaee8,
+    0x00000000,
+    0x2b2e52a5, 0xa1af7240, 0x1d685eb0, 0xf125f55b, 0xeea8f9d1, 0x33287ef4, 0x173c2ce8, 0x8db56404,
+    0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000014536774485912137810986476157760090687072827213746361205629\
+                         80398361278576226795846652382101427527131121525043212532355867069203257229312 */
+  { 0x00000000,
+    0xc98700ee, 0x34bff17e, 0xbb3be259, 0xe87f2e93, 0x5fd1004f, 0x1cac3ce4, 0xdb5bf476, 0x61e45856,
+    0x854cd0bc, 0x20cb5df5, 0x53fd92b0, 0x4f8e906a, 0xfec2e217, 0xb744a387, 0x7ca9378e, 0xb284f233,
+    0xbd2a608b, 0x0536c23a, 0x583442eb, 0x3e45ff7c, 0x5cd94b6c, 0xb9319e12, 0xa7baca08, 0xc5f91b02,
+    0xfa4523bf, 0x81b78c04, 0xb439a794, 0x84f538ce, 0xfaa6af78, 0xc2bfdb35, 0xd54b5b18, 0x8abb230f,
+    0xe7372676, 0x42e077e4, 0x3b8fd649, 0xae1d0423, 0x05970764, 0xf3d76d7a, 0x01961391, 0x677a245b,
+    0xfaf3aba5, 0x7a59d42a, 0xe6acfd66, 0x2155fc69, 0xa3bdf94e, 0xa7dcbb9b, 0xa78d4d91, 0xe85c824a,
+    0x648c3960, 0xb872009b, 0x48323cfa, 0xc24b4e8e, 0xde37e99e, 0xc2ed645c, 0xd51d8925, 0x35445c78,
+    0x6fedc332, 0x05f8f068, 0x32ea2687, 0x9194269c, 0x82f9f123, 0xa39e4a75, 0xc6b120cc, 0x68f9e926,
+    0x86637167, 0x06f0b31e, 0x5b2bc5af, 0xda739c01, 0x52344d72, 0x7c80024a, 0x59c36109, 0x53b0bb3d,
+    0xcf7ef6b3, 0x2dda8bb4, 0x78935d4d, 0x67252c24, 0x0b7816c5, 0xd9967c14, 0xb7cf8175, 0x58a64d63,
+    0x4a8dc154, 0x635cd2c6, 0xae3ad33e, 0x823f31fb, 0xc68e62ad, 0xefc55d4d, 0x28443e85, 0xb5c8b721,
+    0x45a1d50f, 0x69a09cea, 0x7eb50cfb, 0x67c5a421, 0x11f94283, 0x8ad6ecec, 0xebc2680d, 0x0389d809,
+    0x531c0e4a, 0x31be5c17, 0x51de5064, 0xaca0f56a, 0x88680ba0, 0x2a0e0351, 0x46472de7, 0x6d9c0884,
+    0x1209f832, 0x1971b637, 0xfe952ae2, 0x26f92fa8, 0x99b11eea, 0x4043cff2, 0xb4e4a812, 0x1f2deb8d,
+    0x70e31f50, 0x43510577, 0xc45a33a6, 0xd5c72b0b, 0xda69b442, 0x991a60b2, 0xa8f15eb8, 0x9db08e8a,
+    0x6f76bb95, 0x979d2bbf, 0xb57607ae, 0x4842d79c, 0xd3687e71, 0x6b078e8c, 0x0a0e30f6, 0xd943e646,
+    0x61fc6fc2, 0x0a87338e, 0x04b14ca3, 0x9162ed7f, 0xea9f5736, 0xe2bcf798, 0x5fe0576c, 0x6653f59f,
+    0x936f3dfa, 0xfc4c946d, 0xdb2dec2d, 0xa7e7c7ac, 0xf63957a9, 0xd2b04488, 0x0e20902d, 0xba21e4f4,
+    0xe760225e, 0xdc75eb95, 0x8e84a37c, 0x1e6b63be, 0x0383f949, 0xc8a6fb56, 0x2e28dadc, 0x74ed1641,
+    0xfcda1a85, 0x8b2de702, 0x70a93845, 0x4f3ca5a7, 0x7936e840, 0xb8a02f7e, 0x4e24a65c, 0xfca6a677,
+    0xe47837b6, 0x34419053, 0xd0207624, 0x1f38e14c, 0x1586dd33, 0x746daa78, 0x15fc5be8, 0x30b88259,
+    0xffefebff, 0x643b33c5, 0x72aff7a6, 0x4e09b7f7, 0xe579f2ce, 0x2ba919e2, 0x3ad20b7d, 0x84808774,
+    0x6b27cea9, 0xd6596e95, 0x92ac1285, 0x7595d325, 0x2310dae4, 0x481aec62, 0xb39c8d02, 0x646bff06,
+    0x9cfda27b, 0x5f51b76d, 0x4c528b53, 0xaf136ab7, 0xeb075382, 0x6d67eb8e, 0xdb37733d, 0xb8228281,
+    0xe5ef01d2, 0x0952eec3, 0xb0c7cf3b, 0xa179cb6c, 0xb3865de9, 0x1e835058, 0x2de74f3b, 0x3b5dba8e,
+    0x13313f3a, 0xae79e7fc, 0xac565b01, 0x176b97ee, 0xb06eb7e9, 0xf9bf1972, 0x0b816a2c, 0x5f62ff58,
+    0x735a5eba, 0xaffa2889, 0x2c805b57, 0x423d81d1, 0x2b156c97, 0x86e941b1, 0xe5b5ec8d, 0x3179d61a,
+    0x9a0cf0ab, 0x0f58c158, 0xabe2b7dc, 0xca0847f7, 0x3883f949, 0xa6368120, 0xc7af4540, 0xb4666938,
+    0xb26a50e5, 0x2b5116bc, 0x117cccae, 0xbcbaebf3, 0xe8d1ff08, 0xaeace272, 0xfbd1c7cd, 0x43e54fcb,
+    0x3b949efe, 0xa8417cc1, 0x92ca91fd, 0xe18f4c5e, 0xd7d8bd2e, 0xb2ed6f62, 0x01b02eda, 0x3bc0db27,
+    0xa79ed95a, 0xa26efbbe, 0x65e71c87, 0x59a1c058, 0xc1c9d757, 0xbae2553f, 0x243f4eec, 0x88b9384b,
+    0x6ecbf566, 0x0e77f44c, 0xa1b45b09, 0x25758cc7, 0xac45873f, 0xe174abc8, 0xa1c34499, 0x36ebfa0f,
+    0xd2e0afe7, 0xab1092c8, 0x7f1b9d49, 0x158be0fe, 0xe2314cc5, 0x77af0489, 0xd8033f20, 0x9c946b1c,
+    0x0a007ff3, 0x86090d17, 0x4a2cf1e3, 0xe6e95b18, 0x8643594f, 0x2181074d, 0xfee6a446, 0x637f552b,
+    0xba1d3bd4, 0x68e5e8b8, 0xc9c95f89, 0x69db0835, 0xbd33be32, 0x647f0e46, 0x8b5cdd2d, 0xfdd1d843,
+    0xabe99962, 0x20df4237, 0x04304c09, 0x91ac7ac5, 0x99d0432d, 0xaf27f49a, 0xf427a973, 0xf2206925,
+    0x55da6bde, 0xf77a0ebf, 0xed35dee4, 0xde2b1f74, 0x68586521, 0x733bacfe, 0x5e6b692a, 0x32129093,
+    0xd362ce5e, 0xf261cd04, 0x9bfec99e, 0x3c10b4f3, 0x59efb6e5, 0x45887e75, 0xbbcf19ed, 0x53c3032c,
+    0x889e49d4, 0xc29428a3, 0xb9a73da5, 0x68a78383, 0xffd294a4, 0xd7842766, 0x764c4194, 0x4511f26c,
+    0x431e8bf4, 0xeb30088d, 0x907a6d72, 0xb845a109, 0x63245868, 0x7b2043e3, 0xff2c61bf, 0x35878c2f,
+    0x4d5911eb, 0x3850ea8a, 0x9b100e69, 0x06cbd68c, 0xffe3f018, 0xb17b0347, 0x978263eb, 0x9cea7ddf,
+    0x289f467d, 0x7f079c1c, 0xba384b0b, 0xe96f3268, 0x243ef34c, 0xbc43cceb, 0x27f93a20, 0xcb3361de,
+    0x40c25a6a, 0x31dc37ad, 0xfb31d9f0, 0xb98e97c9, 0x11a0b4e0, 0xd047cb12, 0x2e9bcc6b, 0x258a81a0,
+    0xe8909dcd, 0x3710712b, 0x7e668ed5, 0x2b9fc969, 0xafd3ab3e, 0x37732875, 0x71034817, 0xe219c5c6,
+    0x759cab79, 0xff1d41cc, 0xc07cd7ad, 0x52f1cf54, 0xfc2e9752, 0x81c9d934, 0x2cb51aec, 0x08eb281a,
+    0x71a5b5ba, 0xd61cb6d9, 0x67e033f3, 0x423017e8, 0xd4dd6ef7, 0x1b3a6e22, 0xd334bc1e, 0xdc3012d8,
+    0x26dc8d7a, 0x0d45e889, 0xb610978c, 0xc5a33ce4, 0xc3005365, 0xcc62a6c4, 0x7ac720da, 0x7f6f653a,
+    0xc24b8df3, 0x159d66ff, 0x1349373e, 0x975a050f, 0xc9e07132, 0xeb05ec27, 0x3594a64e, 0x23c30970,
+    0x99f0a77a, 0x54cbe500, 0x00942c82, 0xc62c3ab9, 0xbf1787f9, 0x52173791, 0x1f8dfce0, 0xf048cc68,
+    0x33c041c4, 0x48cbf447, 0xb9f819cc, 0x7a89d785, 0xb85955b5, 0x1c972391, 0x4a892ea3, 0x1401afd6,
+    0x6c30bb21, 0x0000bd5f, 0x0b28e4c1, 0x6cfe9f9e, 0x8b9dac1e, 0xb5f74dca, 0x89a5d284, 0xc13e5697,
+    0xd961266e, 0x535ae02c, 0x29ee84f1, 0xf03d273d, 0x072ea7c7, 0xa9cd92b6, 0xd4222929, 0xc38deab2,
+    0x5a02b6f5, 0xbcb8a444, 0xc7ab4124, 0xf4a37a7e, 0x31820b10, 0x3ef86566, 0xeefedddd, 0x2f0b0653,
+    0x0879ddd3, 0x9ff12f09, 0x272d4ae5, 0x27fd34b0, 0xb5c75259, 0x599c9586, 0xe9f7570b, 0x4e7f29e4,
+    0xe17e5a94, 0x10114097, 0x1116d510, 0x75971a42, 0x32a6c74e, 0x32e92b1a, 0x4c820501, 0x94b7858c,
+    0x133be6cb, 0x0f9ad6b2, 0x20d5b573, 0xf742927d, 0x72fb2943, 0x465fa143, 0x28a9ff4f, 0xff37ae6b,
+    0x0e30b8bd, 0x7fce46a3, 0xaa8deb0f, 0x19cd6daf, 0x4b4a449a, 0x5a4eff3d, 0x757e75e6, 0xf00dc4aa,
+    0x3fbfa307, 0xda948efe, 0x217facd6, 0xdd28c2f2, 0x23740b56, 0x1beabd24, 0x0f0ec60b, 0x5ac652e7,
+    0x06e10647, 0x58134e1e, 0x3d4c54e8, 0x73d8ce0d, 0x80699be6, 0xbe98d23d, 0x489bd3fa, 0x8640a870,
+    0x06416bd0, 0x62c566db, 0x5d21f2c7, 0xeeef2720, 0xbbc7c696, 0x0349a898, 0xb2842870, 0xc021c576,
+    0xe24a5176, 0x595daadb, 0x53ab60c0, 0x9f6065a4, 0x70203bee, 0xe6793700, 0xd83d103e, 0x019aa864,
+    0x60208527, 0xdf2ed838, 0xbf1079b0, 0x6d3fc58d, 0x271a1b65, 0x459e34e0, 0x1e048506, 0x5b961d54,
+    0xd9d2f9d5, 0xc5e0ad6c, 0xf25cd613, 0x355fc55e, 0x59d41740, 0x1f0ebf45, 0x911b7362, 0x4519e858,
+    0xf2482e02, 0x5894ef30, 0xb0dc90e3, 0x8f9c1e48, 0xd661fc46, 0xd45bea35, 0xab985f36, 0x744b96cd,
+    0x5bd02724, 0xaedfd537, 0x576e8a54, 0xd7b04977, 0xb818c37a, 0xe3b82f9e, 0x5c7bef1d, 0x3b315147,
+    0x96148298, 0xe1c4b760, 0xb90f34e8, 0xee43da26, 0xc1bfeca6, 0x5aeaa70d, 0x27390e11, 0xee07d7a0,
+    0x501d14a7, 0x11261672, 0xa70c2258, 0xcbffd8db, 0x612e2d6f, 0x75cdb7e6, 0xfb31d849, 0x00f83a34,
+    0x5450a13c, 0x015e62ea, 0x2cc17132, 0xa1ef8f98, 0xc4e67cde, 0x39ea0e13, 0x27309200, 0x5ec89c36,
+    0xd52751bf, 0xa10d661c, 0x51a65d3a, 0x579e2cee, 0x2ea59b43, 0x2b9a0564, 0xe9dd4322, 0x5110dc68,
+    0x025cb621, 0x770c67a4, 0x7be2d4e8, 0xc47a93f2, 0xecb7d1a3, 0x9eb41d13, 0x4e495d55, 0x5dc7c758,
+    0xa95ac46a, 0x64ce9b61, 0x2513853e, 0xeeb84102, 0xb5dc8b08, 0x43f5f61a, 0xdd5a1f63, 0x9209378a,
+    0xadccbe4b, 0x0136ae0f, 0xc58bc66f, 0x52b231d2, 0xb67462a8, 0x8baebd4f, 0x0758fee4, 0xab67f8bd,
+    0x5ba2820d, 0xfaa3e0c3, 0x6641fe4c, 0x08331c31, 0x39e52746, 0x9a958cb0, 0x53457dee, 0xdffa01f6,
+    0xf20e5f42, 0x2c82d7bb, 0x51801eec, 0x2c3fe64e, 0xf336a468, 0xa982b467, 0x5e7c8843, 0x39c5d399,
+    0xd5ab8b62, 0xd693094a, 0x4be3313e, 0xda30bd74, 0xf0dc0c8a, 0xdc2e85cf, 0xf807561f, 0x18cf3bd9,
+    0xe0a90919, 0xf6a239ba, 0xc2ea1876, 0x14360824, 0xcd4461f8, 0xd77cc55f, 0xcb96ebab, 0xcf9408f6,
+    0xd1b5dea1, 0x3152c38f, 0xa698f673, 0x8c209296, 0x79a8e7f2, 0x42fe31b2, 0xda34090a, 0x8c9e5432,
+    0x348ce887, 0xa1f826b0, 0x43fe3638, 0x8b9d9c3e, 0x18f7391b, 0x47d129f7, 0xa1e8ea03, 0xbe13b716,
+    0x1a24e9d9, 0xbed36a56, 0xe61478a0, 0xc6ffb027, 0x4f938ee7, 0x4cb6cbfb, 0xe3c1465a, 0x97f83477,
+    0xcffb3198, 0x06672af3, 0x1bc0437f, 0xf1d663a1, 0x6ba93a5d, 0xde8da611, 0x22239e2d, 0x2eb8c420,
+    0x4e074985, 0xd527b061, 0x7710d0ee, 0x90363d51, 0x4695056a, 0xc646ca43, 0x2adf8d18, 0x2a422d3e,
+    0x491dd679, 0x4e403eec, 0xa1f22b6c, 0xdac14590, 0xa6a069b5, 0xa6f7126f, 0x398bd9d6, 0x9d4c9021,
+    0xc56bcc11, 0x00a72f8e, 0x7b7f56fe, 0x9d3dfcf6, 0x34539901, 0x983a9971, 0x34a0b769, 0x3c682055,
+    0xb7fe86fc, 0x407854a5, 0x426bc9e0, 0xa72ee246, 0x1b9a56e6, 0xec77ba98, 0xb9a22cc2, 0x14efc976,
+    0x39dd25d3, 0x42170ac4, 0x82f10c64, 0x94069926, 0x2fc0b412, 0xe4317b86, 0xc3c3111e, 0x2603ced7,
+    0x4876d000, 0xd1fd0ce1, 0xfb79b247, 0xc7f90eae, 0xbc86a14b, 0x12a95a50, 0x3c029a21, 0x2ad0a672,
+    0x20ec6e39, 0x6b6650c8, 0xca9ad119, 0x5784533d, 0x2e70eb6e, 0x2823f7d6, 0xa0e69d2f, 0x0b64c74b,
+    0x14ca7905, 0x9941d5d2, 0x5dcfcbfd, 0x184d4be8, 0x3ceb8744, 0x97ec5d66, 0xedfe99cb, 0x82974ef4,
+    0xacaac9c6, 0x3ac3ce86, 0x9ffbf304, 0xc87a0312, 0x40706716, 0x43f4a24d, 0x9009f7cc, 0x68d0e6c2,
+    0x6dd66293, 0xb65dbedc, 0x721d65e5, 0xfe30487c, 0xfc5e6806, 0xf88d334e, 0xf26bd625, 0xc7607af8,
+    0x1801a17e, 0xa2f2359e, 0xd7e9a600, 0xa7c80224, 0x1d762154, 0x75326da3, 0x9ad1f58d, 0x81943937,
+    0xcfde70b8, 0x8e9fbc43, 0xacf00592, 0x5fbf9481, 0x6e2ba53a, 0x7ee9839c, 0xb54c0651, 0xdccb695d,
+    0x9981a8b2, 0x721a0776, 0x40b22c5f, 0xd8d7d84c, 0x1b31eb82, 0x3099e0f3, 0x7f1daae2, 0xe29782a3,
+    0x85c2f9dc, 0xea262b0a, 0xfec5b62d, 0xe15d251f, 0x367ca017, 0x9f09e532, 0x1b5fbbe9, 0x6c00d0db,
+    0xd78ccfeb, 0xe27a6adc, 0xecc2fdc9, 0x025ee411, 0xfdd0f154, 0x62982cc7, 0x6f137d47, 0x2c3e023b,
+    0x9f233658, 0x10d4157d, 0xf93d8fe9, 0x2f1124ab, 0xff23f075, 0x0afe5ab6, 0x33805929, 0x7a7a02bf,
+    0x38b01b7a, 0x40fbcc17, 0xc5d4ffc0, 0xd90f8c9e, 0xf284f796, 0x7324fbb3, 0x4f6be94b, 0x4ed6f400,
+    0x75d8f2e5, 0xcd80a554, 0x2c60fe09, 0x08202311, 0xd3345efa, 0x5c11af60, 0xd94f3daf, 0xce7afa9c,
+    0x5ce6cbeb, 0xe8af2f69, 0x13ebe27b, 0x0e0a8770, 0x5346cffc, 0xc23aa5d4, 0xf7f35030, 0x53775430,
+    0x8dcd6582, 0xcac4fd92, 0x322caa20, 0x86b4138f, 0xb8b35454, 0x03df2d5d, 0xded9fe82, 0xf9c5ba2f,
+    0xe5249811, 0xb14ed607, 0x29bf5112, 0x6a4b699f, 0x8ba15cbe, 0xf6d697c4, 0xdbb02144, 0xcaa8609a,
+    0x8afc4b58, 0x00ab5d73, 0x43facc2e, 0x63840001, 0x8e420e51, 0x5820d612, 0x7742ce1d, 0xb6035d02,
+    0xf3ad40ed, 0x073bbc06, 0x317a8387, 0x2418dce4, 0x0fa149a8, 0x93275f28, 0x0a4a47a4, 0x7a77dac6,
+    0xcfbbd898, 0xdc0bae71, 0xc740e88f, 0x59a541a6, 0x716471d4, 0x39d9e025, 0xddba43bc, 0xeaf80d71,
+    0x0fdeb33b, 0xc37d1a7e, 0x9f1d8b2a, 0x9a058c7a, 0x29440ba9, 0xd8fca578, 0xfd536a30, 0x220f69a8,
+    0x1e72842b, 0x49d5f3be, 0xe041f21c, 0x64d71ba2, 0xff81947f, 0xeac147a1, 0xf2da88c3, 0xa970ee47,
+    0x387884d7, 0x41668a0c, 0xd1d209e8, 0xd24dbeeb, 0xdd7efa85, 0x3e95f580, 0x70668655, 0x37484f57,
+    0x291674e5, 0x1bf0c3d8, 0x9152f235, 0xecdf749f, 0xf062c96e, 0xe6aa6089, 0x8f7b0ac7, 0x680c2857,
+    0xf7f45a68, 0x09e41acd, 0xe2e1aef5, 0x30ac81a7, 0x60ddc062, 0x955d55a5, 0xe4be35dc, 0xb117fa79,
+    0xdf6578b4, 0x11019f27, 0x22eb62e2, 0x81bfe455, 0x59b33374, 0xdf54c08a, 0xe07ffb2a, 0x572762e1,
+    0xbe98a06e, 0x6cf4c2da, 0x3f1c419e, 0x26cc0d9f, 0x35eb8b98, 0x91622b11, 0x69c16c19, 0x842bc7bd,
+    0x9392372b, 0xb017bc06, 0x04213b09, 0xcb72a3d8, 0xd90b8c5f, 0x2403c304, 0x5105e7e3, 0x9cf3a36d,
+    0x116dc1f3, 0x6c9b095f, 0x2431c0d5, 0x224e51b8, 0xd316d9e6, 0xcb67a3b7, 0xdab85653, 0x601e2767,
+    0xa9a7eb64, 0x370e75db, 0x6297936d, 0xc8076c87, 0x9c3eb161, 0xb761229b, 0x5a85fc89, 0xc0a44171,
+    0xaa17c14f, 0xb25bfe1c, 0xe31892d4, 0xa9dee907, 0x1b956838, 0x0ea76591, 0xb72b129b, 0xb643ded3,
+    0xb92eed5f, 0x1b51a0b4, 0xa4e1724d, 0xdb1e6c06, 0x344a5e76, 0x17a9699a, 0x6ffb4e7d, 0x21a884c0,
+    0x5d6b6a8e, 0x8e6ade84, 0x242e71eb, 0x2ad6f8a5, 0x1d22623b, 0x70522172, 0x4ba147c6, 0x900b246a,
+    0x4c6366e4, 0xcec483ea, 0x24dc32e5, 0x85517249, 0x04628740, 0xcd0d7af5, 0x506a50db, 0xb0e26a75,
+    0xabedc8d6, 0x9295e7c4, 0x002bc1a3, 0xfdb7e1c6, 0x95bb9cf3, 0xe83d892e, 0xad10897b, 0x5b2d9085,
+    0xd16a769b, 0xd7c9f94f, 0xe2a12e03, 0xbf6aa3e6, 0x4452c657, 0xcac85678, 0x17e5258b, 0x0e1c72ff,
+    0xc7baa059, 0x4debfd0a, 0xfdf799ef, 0x654fc816, 0xf20fa646, 0x650db189, 0xd6a972c9, 0x868536ca,
+    0x21e3e61d, 0x367fc7ce, 0x6e2043bb, 0xfd48aeb8, 0xf786950b, 0xd537f44d, 0x4fa07172, 0x0713ae46,
+    0xa56f6f65, 0x4403d706, 0xa2a2a747, 0x8b8aab68, 0x04326e27, 0x64600a17, 0x5f483792, 0x46cad223,
+    0x38b74124, 0x2814b7d8, 0x6daea7e3, 0xfcddc793, 0x08c85693, 0xe62cb0e0, 0xd0051ded, 0x627b34e5,
+    0xf245cc67, 0xc3a1ec65, 0x056c1d65, 0x1622b341, 0x668ef377, 0x786d9f7d, 0xf8cf00f2, 0xf41b35ac,
+    0x0ecf9416, 0x56f45b09, 0xb7084553, 0xdfd33adc, 0xabec7ea8, 0xf7d2a284, 0xde3ee4e0, 0x981fda84,
+    0x00000000,
+    0x15972952, 0x50d7b920, 0x8eb42f58, 0xf892faad, 0x77547ce8, 0x19943f7a, 0x0b9e1674, 0x46dab202,
+    0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000007268387242956068905493238078880045343536413606873180602814\
+                         90199180639288113397923326191050713763565560762521606266177933534601628614656 */
+  { 0x00000000,
+    0x892af96f, 0x06a1ba95, 0x8d7227f2, 0x55c37c2b, 0x797032cd, 0x9ec9047c, 0x1ff04c6b, 0x6fd43b45,
+    0x8218f4d6, 0xeb27a5ca, 0x8af05e03, 0x2b9cda7f, 0xf7cd3153, 0x6d9b2fe5, 0x78e92b4f, 0x3c8717ba,
+    0xf609e7d1, 0x9388bb87, 0xdf139c52, 0x43230a07, 0x79d558f2, 0x18a76ece, 0x27a532be, 0x7af910af,
+    0xff08af9b, 0x707d02a0, 0x047a5e36, 0xd50e91d5, 0xcdfb2b2b, 0xbf16b313, 0xea5bc473, 0x9dd563a6,
+    0xadc40487, 0x507d2e7c, 0x8e5f39f4, 0x34aee0d1, 0x23bf2960, 0x59fd2c41, 0x02a5399a, 0x8c56ed33,
+    0x931ecab1, 0x1430d903, 0x49e39b81, 0xf981ae80, 0x55d50026, 0xdb907696, 0xebc26365, 0xaabe7bbb,
+    0x1f4b2ee0, 0xc822bb01, 0x8cde87cf, 0x63ec9c93, 0x2fbc536d, 0x78e7630a, 0x303ad400, 0x48d9ceab,
+    0xcacefe00, 0x8a23773a, 0xa7517150, 0xea789c8c, 0xbc884a16, 0xe1b0a902, 0x0c0ee877, 0x276b134f,
+    0x695d80ea, 0xaccd59ab, 0x589b5da7, 0x2c76d757, 0x43531946, 0xe446087f, 0xfe32eee7, 0xe29bd04f,
+    0x98ffab74, 0x0e4b0f7a, 0xe174020d, 0x7ab77ddf, 0xf8bc1a68, 0x9de585a3, 0xecf3fd52, 0x48923034,
+    0xa37cbf08, 0x5aea7654, 0x5038ae73, 0xb8bd5506, 0x3adf1237, 0xc4d249f2, 0xf6047039, 0xa16b4dfa,
+    0xb76ea8d0, 0x35565d2c, 0x435d234e, 0x47bc8308, 0x119efd60, 0x0ff1d45b, 0xefb257d6, 0x29ecb3cb,
+    0x6985f6ae, 0x18770642, 0x58385ec5, 0x098d982f, 0xad1731af, 0xa8a44d13, 0x30f612c6, 0x34ef36ad,
+    0x4d1dab6c, 0x6542db71, 0x61ac1511, 0xfe530840, 0xc07fcbcf, 0x1ee17fea, 0x35f96214, 0x7ddc1408,
+    0x82d1aba4, 0xdf14195d, 0xbfa7c9d8, 0xc2fa2d10, 0x7bb44f56, 0x077e3d61, 0x54127965, 0x7bc23c07,
+    0x88713ead, 0xdd6c8c86, 0xb798dcdb, 0xa6aa7667, 0xde77b058, 0xbacdcca8, 0x0b6bf671, 0x53cc04a0,
+    0x5fadcec0, 0xd0370907, 0xf75aefac, 0x12d58c1d, 0x6d43fdb5, 0xda9bba4e, 0xd534c6fd, 0x17981a9d,
+    0xefefb202, 0xd7030a66, 0xce1602b9, 0xeca46682, 0x67c4fc54, 0xd6976d9e, 0x4ecf34c7, 0x24b5e670,
+    0xa1d0eb7b, 0x00573982, 0x7c7c89bf, 0x889adb91, 0x4d1af42f, 0x9fee6ce6, 0x682794be, 0x52b465b0,
+    0xec527da6, 0x9c92858a, 0x2b74618f, 0xb151b8d2, 0x1fad0715, 0x7809a62f, 0xc881db75, 0xde894490,
+    0x8b8beac7, 0x61c79d96, 0x04aa3432, 0x6091711b, 0x669f8303, 0x336a1f5f, 0x37cd15a3, 0xc2464628,
+    0x591d4dab, 0xd5ade0ae, 0xfeb32e63, 0xbdfee143, 0xa66e3f78, 0x9ed97de1, 0x662038fe, 0xbf11d515,
+    0x102364ff, 0x4f8a3dbf, 0xa5653158, 0xeea33c3a, 0x7b6fe426, 0x88aabfd3, 0xedc0a775, 0x95aa8f5b,
+    0xc6f98df7, 0x467acd15, 0xd2a6b4bc, 0x15e1d77e, 0xeb4e7337, 0x7760f1ae, 0x2ba14bdd, 0x09c9f31b,
+    0x96445ecb, 0x31c6965d, 0xde251d65, 0xf7ea9f15, 0x37359666, 0x9684c7ca, 0x5278d669, 0xfee24f06,
+    0x261e2d89, 0xe4feb104, 0x2be95151, 0x887cd5fa, 0xbc9bf98a, 0xde29bcac, 0x63ff0a57, 0xad4442fb,
+    0x9fa73c96, 0x1b4d418f, 0x981112f5, 0xf4b4587a, 0xc4050862, 0xe34cdf41, 0x701bed62, 0x7c9f199b,
+    0xb06e913f, 0xcd74c61c, 0x95e143aa, 0x4f2c385d, 0x463ff534, 0xfa2f8926, 0xd2d8cb0e, 0x77f4042f,
+    0x859d73a5, 0x7797278a, 0x477676d8, 0x76d79354, 0x7fba618c, 0x08605c8e, 0xc166e149, 0x5a92cefa,
+    0x65c08a15, 0x210ca4fc, 0xca9b4c42, 0x01579f9e, 0xd039f9ea, 0x21b416d5, 0xc84a0e2b, 0x636000f6,
+    0x4cc274c2, 0x7f5df630, 0xe4485d2f, 0xf6cc2fdf, 0x6a46653b, 0x8f8aa135, 0x044ed30f, 0xa0d5004b,
+    0xcec91807, 0x9bdc0b0c, 0x1c22c877, 0xf64495c5, 0x9ea32f12, 0xff92d834, 0x8a4fe476, 0xb945e91f,
+    0x7c070819, 0xe0b88ccc, 0x4bdbbd99, 0x78a7991b, 0x472f94ee, 0x85f9254c, 0xe62fd194, 0x2643a01e,
+    0x56ed77f5, 0x2d9f174b, 0xa4deb614, 0xc34d89dd, 0x46aa4c76, 0xe798c200, 0x7dff3aa7, 0x1cd09108,
+    0x19cf67cd, 0xd1922680, 0xe8f40559, 0xd5949ad1, 0x9434ddac, 0xf19625de, 0x2b733391, 0x181175c8,
+    0x4279b7bf, 0x0e0033ad, 0xbf1d225e, 0x655c3b75, 0x06439114, 0xcb9bbd2e, 0xb4b1c7b6, 0xabd3c79b,
+    0x9c7bd14d, 0x77098d4a, 0x4f1d8d5c, 0xf8f9fea8, 0xb3263a4b, 0x40e4f278, 0x94c0c5d2, 0x107219cb,
+    0xf8c6f5c8, 0x2b94b9d1, 0xa8df6c3e, 0xcdf6689d, 0xde632990, 0x83b50612, 0xbeb4bae2, 0x67bdf693,
+    0x9946b440, 0x7fd62a96, 0xe64d7e48, 0x9c81c78e, 0x2e0dfd08, 0xcd3504e9, 0xfe3bcbcb, 0xa359ee35,
+    0xe9e752eb, 0x9b3e9075, 0xf9f1393a, 0xa0943e55, 0xaee17fc6, 0xc797060d, 0x435f5f04, 0x3f3b75eb,
+    0x6da520fc, 0xe440049a, 0x301f7097, 0x36ab5173, 0x612dc7b8, 0x46f9e10f, 0x4bdb118a, 0x6b5a52a4,
+    0x2c2865a0, 0x79cea383, 0x7dae32bc, 0x32e0fd66, 0x2fac2169, 0x05241ea5, 0x0f31001d, 0x2e5834db,
+    0x324a3c95, 0xa35e5133, 0x0cc7e0bc, 0xf8c1bd9c, 0x77fcdfeb, 0x33d6a25c, 0x19e4df67, 0x363d4bc8,
+    0x195dcf75, 0x04a98124, 0xf65ae437, 0xa923b211, 0xc22945c4, 0xbfacb6b5, 0xccaea382, 0xd8ca8756,
+    0x262069bd, 0x8188ad58, 0xba1b568d, 0x07714a25, 0xe1c2d964, 0xd31ca7b0, 0x903c3dff, 0xaf4d9f0e,
+    0x0d705f7f, 0x1ab5103c, 0xfc46a67c, 0x01016058, 0x4a8b4012, 0x1d8909f1, 0xb871a01d, 0x76a23c40,
+    0x9124af45, 0xb361f7d9, 0xaf8f9310, 0xa61123c8, 0x9aa5a47d, 0x0e37fea2, 0xa338eaa2, 0x209bffc1,
+    0xb2369665, 0x9c49c4f7, 0x7491283f, 0x108ce8c5, 0xc4a81ebb, 0x6553d165, 0x68f08579, 0x4bc2b316,
+    0x686f8efc, 0x2dcc6e7c, 0xf9a85d0b, 0x099977a3, 0x03426826, 0x8967b211, 0xe4cc95b7, 0x5f79f89f,
+    0xde016aae, 0x7b6cc785, 0x6e3a18b7, 0x8dfa3613, 0xb58cd828, 0x271fd06d, 0x35d4e5a2, 0x8e455cb6,
+    0x2485d414, 0x795d285a, 0xeeff9831, 0xb82b23f1, 0x8c403516, 0x3f55a092, 0x9484eee1, 0xbd831583,
+    0x31e1ecaa, 0x7003a477, 0xfd8a7e93, 0x8a456da6, 0x6d4f229f, 0x84dae53c, 0x3b61f740, 0xe6104e37,
+    0x175c5ac4, 0x6af733ca, 0x04ff789f, 0x4fd95c74, 0x466f0f35, 0x4de560b0, 0x465ae0e7, 0x73380331,
+    0x7867e813, 0x313d894d, 0x6c4bff2c, 0x0ae963e0, 0xf8b40083, 0x790f34a4, 0xae16ed50, 0xeb67bf19,
+    0x5d4f3cdb, 0xd9c1b892, 0x0b24f641, 0x86b122ad, 0xca1a7c16, 0xcad4b412, 0x6475632e, 0x7582f2be,
+    0x96ba551a, 0x9f951456, 0x8669f429, 0x4e2a3c11, 0xbe217381, 0x71c1e6cb, 0x4af379c9, 0xcd354429,
+    0xc2a58b4f, 0x2b177286, 0xcac1da74, 0x34affb6b, 0x91e034de, 0x06a0c4af, 0x8fe71254, 0x7214c350,
+    0xff13af6d, 0xa431a809, 0xfd3e5262, 0xc5d016f1, 0x4ae42117, 0xade3c0a6, 0x77ce8273, 0xb0eebfb5,
+    0xfdf8135d, 0x944dd53c, 0xe70c1d31, 0xb0036ce8, 0x5682b5d1, 0xe247c15a, 0x3a423891, 0xf5b6b157,
+    0x969ea089, 0xc0d78ec3, 0x197207f4, 0x3582cf2a, 0xf806b98e, 0xf13550df, 0xdcb47e75, 0xc6711b03,
+    0xf990d648, 0x43a6a079, 0x506d0587, 0x2562c2e1, 0x48e65f44, 0x24e26f5a, 0xdd417bb3, 0x81eec189,
+    0xb2ff767b, 0x2b6b0e1c, 0xdc72ace2, 0x403337b5, 0x521d9931, 0x392902a4, 0xfc81f22d, 0x03052d1d,
+    0xec5c6102, 0xac8669c8, 0x1f299928, 0xebd7aa0a, 0x25868f79, 0x4ada2ad0, 0xe12e227c, 0x8e69e6aa,
+    0x4079975e, 0x28f9a8b2, 0x13b35ae9, 0x7f51f68e, 0x0a6dd80d, 0xb65972ae, 0x4806a9e9, 0x7da02117,
+    0x86a6437c, 0xe54ea168, 0xc745cde2, 0x7a503b9d, 0x3b27be08, 0x1d910339, 0xa632c008, 0x9eff290d,
+    0x0f0891db, 0xe2e5d446, 0x06103852, 0xc67a95b3, 0xff19764d, 0x96513da9, 0x02827a0a, 0x088a981f,
+    0x8ae305e6, 0x52068a62, 0xb96dac9d, 0x7e6e22c2, 0x54055834, 0xe3cbceec, 0x8b3a6c6c, 0xe0b9b031,
+    0xf98bbc53, 0xba74f35b, 0xd946a817, 0x5d1d3697, 0x4d47ab56, 0x964bfcd0, 0x37115712, 0x6f9ce00d,
+    0xf951184d, 0x6b6246bb, 0x4e6ee926, 0x2a89edc7, 0xd40c4a9a, 0x0f60f196, 0xdbdfa005, 0x6c7c7357,
+    0xd4a03aa0, 0x27145fb9, 0xe4fb2b48, 0xcc57661b, 0x4208b9fe, 0xc2b4c090, 0x9f3a1c4d, 0x20abadd0,
+    0x74a92e19, 0xa24611d6, 0x1f7ad0f3, 0x42d17f65, 0x62925218, 0x62e46860, 0x01a2d508, 0x098d7a04,
+    0xef1cdb8c, 0x2d001f34, 0x03d415a3, 0x62db1298, 0x14bb11c8, 0x69233df0, 0xf3a14a02, 0x89e077ef,
+    0xc48cd4e7, 0x4d5a7183, 0xb764b00b, 0x83936ccb, 0xb4326241, 0x7e58d67e, 0x084cdcde, 0x4ad6cc31,
+    0xdf0007f4, 0x7d394d4e, 0x525e6847, 0x033b8adc, 0xc7990893, 0xb546770d, 0x348dcce2, 0xec450c41,
+    0x54c83221, 0x5ddeab2b, 0xda99c6e4, 0x88673339, 0xb5f6a7d7, 0x2fe14ca2, 0x61ebf87c, 0x647af45c,
+    0x151e7348, 0x0f70fb98, 0x895bf5e9, 0x65ac8819, 0x3ed7492b, 0x9785f7b3, 0xd984a908, 0xde3b7781,
+    0x0de4dd0b, 0xffb46a7a, 0xfec15045, 0xf71c8b4f, 0xcb9ab3cc, 0x7c3897bb, 0xaf2fa35d, 0x96c9c6fe,
+    0xbde5a9c8, 0x8d390458, 0x3f59dc90, 0xd24f2f53, 0x614927a9, 0xf48e24fd, 0xf7f2833c, 0xbe0cfabb,
+    0x18036d8f, 0xf4e18b03, 0xf8db45cd, 0xeed97437, 0x1dfd6b2a, 0x07ee45ae, 0x83216622, 0x0e640b3e,
+    0x6b9a0ca5, 0x2812df04, 0x5b213fd9, 0x47581f7e, 0xee04443c, 0x4772e167, 0xa5b0dcd5, 0x66f78cb4,
+    0x11d81db1, 0xa40434ea, 0x52b49fbd, 0xb7943e70, 0x7fd9692b, 0xcbc1addb, 0xe1a6ee05, 0x641c51ac,
+    0x72fd5087, 0xcd50b090, 0xba12fb18, 0x39767c10, 0x5e769e1c, 0xcad51440, 0xf5feb3f3, 0x6bc1ef6c,
+    0x2bcf105e, 0x56b26a74, 0xb4851fbd, 0x4e143bad, 0x5fbe12a7, 0x555f0305, 0xc71bc62e, 0x5412adbd,
+    0xca8dad77, 0x2da3a5d2, 0x14da8a8a, 0xecb6b67e, 0xf741b3b5, 0x45797625, 0x1244b5e6, 0x206b1dcc,
+    0xa55338a9, 0xd60ff41f, 0xecaa6fdb, 0x8344c05d, 0x5de328c8, 0x4f1b742f, 0xc2f75cc0, 0x96c959f0,
+    0x5ccfd773, 0x60798114, 0x1d7adcd7, 0x1901cd40, 0x2c334be7, 0xd03c9150, 0xf1e8315c, 0x433c7d99,
+    0x2d8cb91d, 0x3cc66265, 0x87499a0a, 0x136a62c4, 0x859bb62e, 0x0df2313a, 0xdcd8accb, 0x6850ea72,
+    0xabf0c77f, 0xd745ac0a, 0x2cbaa95f, 0x6c668c2a, 0xa929a032, 0xd203fcac, 0xf1da7436, 0xab5de2d3,
+    0xaada41b9, 0x2635f21a, 0x66e3ca71, 0x1cc37f32, 0xcf273520, 0x1a078625, 0x547c8be8, 0x0b32bdcb,
+    0x5bd81efc, 0x34be629b, 0xedad9e5b, 0xc73f7341, 0xefaa4001, 0xf87aecf7, 0x73a3ccca, 0x5556249e,
+    0xd470dd4c, 0x830cf2a0, 0x48567df3, 0x2e24db73, 0x612d4cf4, 0x12ecb94c, 0xc052d55e, 0x4ac9718d,
+    0x31c9b91d, 0x7541030d, 0x4e16b600, 0x3ff58d5c, 0x1326515d, 0xe8d5fe1e, 0xc2aebeb2, 0xfce57844,
+    0x8e0e284d, 0xf2916cb6, 0x06323168, 0x6014345a, 0x87294c97, 0xb342e56e, 0x1127abfd, 0x6f3c51b1,
+    0xb6863b5d, 0xdc3044a0, 0x44c58d7f, 0x64d12377, 0x0c2cb750, 0xca4a467d, 0xe8402bc8, 0x8b4f855f,
+    0x68340ebc, 0x1e7cb4b2, 0x7559d8a4, 0x92941367, 0xa7a96d00, 0x10a4e547, 0x22205025, 0x41fce89a,
+    0x4f4fdc2c, 0xc4e70a28, 0x6356dcfa, 0xba4b24f1, 0x4759798c, 0x247f6edc, 0x38834dfb, 0x920c00da,
+    0x62e55a17, 0xc3c31b28, 0x92e55431, 0x9f454e9b, 0x718ca1c9, 0xdc1f104c, 0x33a8703c, 0x2bd42341,
+    0xe2cfde06, 0x52e3743f, 0x9abef4d0, 0x4e6fc159, 0x993acb29, 0x9c75b7c1, 0x106fa5b4, 0x2a286e9d,
+    0xf87a197c, 0x2a4b4e54, 0x0be92154, 0x27ae24ae, 0xb4b1a74f, 0xd8eb4153, 0x062097fc, 0x7c61f3bf,
+    0x4004a0f3, 0x86b3b863, 0x8a965f77, 0x9247107a, 0xda7e2f4c, 0xd33fe4ec, 0xcef22608, 0x438a9cde,
+    0x7c1443c5, 0x48184b76, 0x7537e0a1, 0xc3c512eb, 0xaa5ab69c, 0x03c74d53, 0x76b448e5, 0x27c5fad4,
+    0x6e911240, 0x3e1c5c40, 0x1639676e, 0x3f35a84f, 0x048cbdcb, 0x7a34d817, 0x837ccb43, 0xaa527730,
+    0xc41ed229, 0x68dc1cb9, 0x61f15056, 0x95923398, 0xe2826739, 0xedcaa646, 0x6af272b4, 0xf46f4337,
+    0x41628219, 0x62594ce3, 0x88574fd4, 0x6ebda68a, 0xd2d1ca52, 0x7310cc77, 0x1608443a, 0xb092cf9e,
+    0x42863480, 0xf6b29db9, 0x21a33087, 0x679ad470, 0x09f6289c, 0x28c66bdf, 0xf9e6e53f, 0x72642108,
+    0x63733eb8, 0x212660fa, 0xc3458d4f, 0xf7019546, 0xabca6aa5, 0x6e29b5f8, 0x91e2e807, 0x3d139331,
+    0x6ed2494c, 0x476e640f, 0x91956aa6, 0x54a07e77, 0xd5935836, 0xd2d7cd7e, 0xa43964a2, 0x2d4d1d9b,
+    0xcc1905a0, 0xba23f45d, 0x69122bac, 0x423cbdb1, 0xbc7285b3, 0x5476a40a, 0x5a11d497, 0x7d3e5232,
+    0xf277e5ca, 0x526f1e18, 0xe16b8e2e, 0x873a748f, 0xec94f543, 0x93c41463, 0xf8611c46, 0x0a594262,
+    0x249d38f8, 0x47d404c0, 0x19ce1574, 0xbfa3a891, 0x2d5b676c, 0x6b830200, 0xea396eaf, 0xe7d17d4c,
+    0x41106694, 0x7ec6d6ae, 0xceec4f76, 0xcabd0983, 0x42d419e4, 0xe41abb0f, 0x80ef7175, 0xfb3b212e,
+    0x8c4a0f4d, 0x2521b175, 0x321b00ac, 0xaefe079f, 0xddced3db, 0xc52dcc5b, 0xf6cf332e, 0x0ce749c0,
+    0x09be03bc, 0x456cb43b, 0x52cb681c, 0xb3766626, 0x7c8f088c, 0x828231e4, 0x0d699221, 0x1c2655f7,
+    0x1922c556, 0x515b769c, 0x6a803abc, 0xac9dd4cb, 0x77a477bd, 0x08a381a3, 0x22f8beda, 0x42402d91,
+    0x8f982ab9, 0xf1e838aa, 0x8e1f4fd3, 0xceaa15a4, 0xbaf5fc83, 0xbdbc5078, 0xb5fdaeb0, 0x37035e4d,
+    0x8c58a23a, 0x72f8b26b, 0x393d83a1, 0xfc3bb2e7, 0xfd88fe49, 0x491e5273, 0x8b08640b, 0x1a944a6d,
+    0x2024848e, 0xaeac06a3, 0x775fde00, 0xf8373852, 0x86d065c8, 0x4c75a450, 0x0d51aec2, 0x676ef8d2,
+    0x6cedf0d8, 0x269fcff5, 0x34c12ad0, 0xd77f253f, 0x4e19b889, 0x1fc1bf31, 0x923b5e86, 0x15912aaa,
+    0x0303a6f8, 0xcb279c71, 0x5c6f4bfa, 0x990e1dda, 0xc6c4fb18, 0x6d14ae5e, 0xcf72f2b5, 0x46ccd3a5,
+    0x509c6760, 0xf6e9b0b2, 0x85d59c9f, 0x6f0e6ce9, 0x8f4f13ca, 0x45b9aeeb, 0x09afb183, 0xbd7813e0,
+    0x9076d880, 0x9f58871a, 0x384a0244, 0xeb9ba6a6, 0x68d3d7ee, 0x707a562c, 0x633a0316, 0x502bf04a,
+    0x1e13c22c, 0x569ceb86, 0x903bb9b5, 0x1fd0ddc9, 0xfe5ee6ad, 0x718855cc, 0x3789abe5, 0x13a84b15,
+    0xfe469e24, 0x00485794, 0xcefd3c61, 0x35ed0ebe, 0x5a635ba1, 0x53ecb38d, 0xe13743e7, 0x55f557b6,
+    0x29150d98, 0x8c9c4d9a, 0x82bf3751, 0xa52932ba, 0xb05175f1, 0x7728c067, 0xad7e255d, 0x06ebb433,
+    0x4292bf26, 0xb9d4addd, 0xfe906159, 0x196d4fec, 0xe2794586, 0x8b533353, 0xebae1cff, 0x0afccba1,
+    0x2c5bcfff, 0x962560f4, 0x6eca24d6, 0x8c8c1cba, 0xe02b934e, 0xb9be133b, 0x61e1c7a0, 0xc5578b6c,
+    0x00000000,
+    0x0acb94a8, 0x286bdc90, 0xc75a17ac, 0x7c497d56, 0x3baa3e74, 0x0cca1fbd, 0x05cf0b3a, 0x236d5901,
+    0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000003634193621478034452746619039440022671768206803436590301407\
+                         45099590319644056698961663095525356881782780381260803133088966767300814307328 */
+  { 0x00000000,
+    0xc7178582, 0x7a0af6a0, 0x354a7703, 0x0f4b4c16, 0x4764550c, 0xa15bd165, 0x096c1735, 0xc5eb937d,
+    0xe39cc26c, 0x9c7045c2, 0x96e88d42, 0x2043baf8, 0xbf02b31c, 0x9d3dc563, 0x58e735e3, 0x53cb4aa6,
+    0x43adc480, 0xd153a48c, 0x0ee10ef7, 0x0c859423, 0xe8df947c, 0x88fee93d, 0x1b9a5254, 0xe4fc9016,
+    0xdd986865, 0x13e255e9, 0xd56d7f91, 0xe188dddc, 0x7cdfa607, 0x2360955e, 0x2052d1cf, 0xe973fd61,
+    0x3fc9308c, 0x7ec30463, 0xa162879f, 0x744d6e7e, 0xc05d117b, 0x203e0b01, 0x27ad2845, 0x02215f38,
+    0x3caa01b0, 0xd1571d03, 0x50d0b1c3, 0x0bf7c4bd, 0xbe16ba28, 0x0ea1ce6d, 0x0948b5a2, 0xd0cc8144,
+    0x3c2202a0, 0x59dc8e00, 0x7c893023, 0x138b2cd9, 0xc4e8ff68, 0x887b46b0, 0xf342b16d, 0xf3388b82,
+    0xc9f914de, 0x0563ac69, 0xfa5b2892, 0xc520d3a8, 0x4309534a, 0x44d49aa2, 0xa114fb3b, 0x24e72d99,
+    0xda330848, 0x6a1fc169, 0x037c87eb, 0x576313a2, 0x1fe0974a, 0x9f5d7b86, 0xc17e14b4, 0x0bd81420,
+    0xc0b40e38, 0x3926b31b, 0xc8948bab, 0x01676254, 0xcad88b76, 0xb9802e57, 0x73ef16e4, 0x38c3287f,
+    0x66abefbf, 0x14ef9ccf, 0x818defbe, 0x58694e0f, 0x72a3fe8e, 0x1c676dfc, 0x24fc05c2, 0x82e5e620,
+    0x51bdc352, 0x684b6cf7, 0xea0178e2, 0x8163a9be, 0xf309a5d1, 0x2146b5ca, 0x7faa365f, 0x4f3239a8,
+    0x46878bae, 0xe1f7f36e, 0xa50d099d, 0x581693ab, 0xf4bb7a37, 0xfba2eb33, 0xb185ddba, 0x023a0430,
+    0x224bf22a, 0x5d1d4aef, 0x54171d42, 0xa2bfaef5, 0xd7809373, 0xffaaab94, 0xb041f4f8, 0x81aff28e,
+    0x6d576abb, 0xd1f32b92, 0xffe1bcd0, 0xed83f968, 0xc2f63778, 0x2529bb9a, 0xdc211a6a, 0x72d899c6,
+    0x06f8bd24, 0xf913d253, 0xe35ce4e9, 0x84cb3a97, 0xa0bd8e48, 0x14433b3c, 0xcb59dcc5, 0x88191d7f,
+    0xc5ffe162, 0x2070d6e2, 0xfbc2c472, 0x4fe1ea10, 0x8e3a73a2, 0xf1aa0952, 0xd2938c39, 0xef0f5566,
+    0xd88c39b5, 0xc87f8eee, 0x2638f00d, 0xb25a5bff, 0x87c212ae, 0xddf76c3e, 0xc7ccb0f7, 0x74c158b3,
+    0x4249523a, 0x8a14b0cb, 0xe7194a5a, 0xe04b3e69, 0xcbc629dd, 0xec7bb44f, 0x7efbae0c, 0x42b99172,
+    0x40c36d11, 0x8c9ae3da, 0x1b6cd438, 0x10ad6878, 0xb517d433, 0xa9f92a3a, 0x21028fd2, 0xe174cd66,
+    0xeaaf623b, 0x1195cfcf, 0x4cf861b5, 0x29b7a484, 0x223ac99c, 0x2802dfcd, 0x2eb37a56, 0xd879eb1c,
+    0xc54daccc, 0x5ce0609d, 0xb5451788, 0x7906af9c, 0x97fa2c70, 0xb0a5e7a2, 0x7b3053fa, 0xa6f339e7,
+    0xebcf60e2, 0xf97b44f9, 0x540c4f38, 0x5aaeb407, 0x635e2296, 0xdd13b03d, 0x0b801043, 0xfc4bd8d6,
+    0xfae09ca4, 0xfc678221, 0xe684ba32, 0x38855fd7, 0xd2f8b0c2, 0xe0120e48, 0x806408b7, 0xe323a327,
+    0xa18d322d, 0x7696d1ee, 0x6aa12e5f, 0x18d79f37, 0x82599a73, 0x697cdc37, 0xa4322b80, 0xa79b508c,
+    0xf882874f, 0xa09969da, 0x7d81d019, 0xeb2a38ca, 0xfabec01d, 0xe933a222, 0x96239b7c, 0xd2522cd0,
+    0x3c1b6be6, 0xacc2d42c, 0x9e31b51d, 0xcebee7f8, 0xe38cfb0d, 0xf76f956b, 0x471718cf, 0x8da3fbce,
+    0x5facef63, 0x571f3b9f, 0x04ca9375, 0x20337027, 0x1ff1616e, 0x09fbf9bc, 0x58279529, 0x2b6d61d6,
+    0xad01d78b, 0xd333b961, 0xb75d4f49, 0x14b9d69e, 0x77cd0a2c, 0xe9cc29df, 0xe0274989, 0x6b6e1960,
+    0x598dd48a, 0xfd096b23, 0x3d10e4d1, 0x8adf14cf, 0x9d12b524, 0xd3ee5800, 0x6b3ef591, 0x042c4bfb,
+    0xb6a13923, 0xf6e27387, 0x89a84855, 0xf028a852, 0xced78647, 0x04add4f2, 0xa73358ed, 0x003c249a,
+    0x6b4bcbaf, 0x7ff3f87a, 0x16cc0b41, 0x63e745bf, 0xa20bac6f, 0x00f63239, 0xf8bd2526, 0xfcf21168,
+    0x02cf0ca1, 0x06d39e83, 0x1de096b1, 0xb5679976, 0xd5b63501, 0xdbb8c2af, 0x618b8e7b, 0x6172daa2,
+    0xaaac2d27, 0xb0de0291, 0xa9954db9, 0x52dc4cf4, 0x1806b561, 0x29b8b585, 0x8a989294, 0xf73deae1,
+    0x185dfa59, 0x739a84c6, 0x30f0c07c, 0xb5dd132d, 0x5e8f2fe6, 0xd38f43bf, 0xbe90badc, 0xfd3afbff,
+    0x84d11fb6, 0x340d0cd9, 0x3dbcf082, 0x4ee1288a, 0x9bc5991d, 0xa54d1793, 0xfae7f054, 0x82c3a147,
+    0xce887f24, 0xa626daed, 0x44df9068, 0xe730eb91, 0xd185ef1c, 0x19079fae, 0x1c3d6c4a, 0xaa9c9588,
+    0x84bdb7ac, 0xc78f164e, 0x83438a12, 0x97e991cd, 0xb12848a5, 0x6ee4fe7a, 0xe1cb6b00, 0xb9f6bfe9,
+    0x7d8942b6, 0x953fb2b6, 0x4de922c8, 0x6c5d9f1b, 0x1ff9632e, 0xe3d0ef2a, 0xc901b7da, 0xd5794f3c,
+    0xf73b3f46, 0xf856e98b, 0xfef19028, 0x7b8fcf1b, 0x0465f114, 0x35a19569, 0xf7464cc4, 0x3731e36f,
+    0x871afb2a, 0x6e015281, 0x4e73d366, 0x2b1edbc8, 0xce519c4d, 0xef9dc2ca, 0x636d0f80, 0x2fbd13e9,
+    0x576d8d43, 0xc00f320f, 0xc29c822f, 0x79f5150c, 0x53dbfb8d, 0xd204fb67, 0x8fd951b8, 0x4251b945,
+    0xa39c5bb6, 0x60183ffe, 0x6b4c27af, 0xbdfd3031, 0x7f33a5cb, 0x85c8d527, 0xca8fe3ca, 0x1daf0006,
+    0x670dd32d, 0x9ee367da, 0x06bf9f9f, 0x0787b983, 0x7119b161, 0x7bec00d4, 0x60f3b13f, 0x8d70ca37,
+    0x23bdde16, 0x990c526c, 0x668b816c, 0x3eff6f18, 0x68d4ef50, 0x6c5f1fe5, 0x49719ad0, 0x8dc6be38,
+    0x25d0d880, 0x375e9c73, 0xc92735ff, 0x390426a9, 0x367944da, 0x39392d61, 0x22d6de4d, 0xb119cba5,
+    0xb84deab7, 0xa5608cc6, 0x8c2c67ff, 0x946bbc83, 0x6008a03d, 0x4d0b8c4f, 0x5c0c8953, 0x2a887d90,
+    0xc5a6b63d, 0x5b6cdb71, 0xe2604852, 0xa651bb39, 0xc43925e5, 0x594987f7, 0xd1dd8150, 0x795147a0,
+    0xa3e39f63, 0xdaa11458, 0xa28e018d, 0x48554fcb, 0xc3a0fd38, 0x969bc4b8, 0x1a97c0c0, 0x0d84b760,
+    0x09cc2eef, 0x639c69f4, 0x0742bcb4, 0xa3232f1e, 0xc8e585ed, 0xc51763e1, 0x4469f353, 0x82137849,
+    0x6cc01cb7, 0x09f70fed, 0x5bdac312, 0xdce184ea, 0xf696c965, 0xbcf921a5, 0x4b942924, 0x3355a3de,
+    0xf71d95e7, 0xa38c8471, 0x7d3c3ddc, 0x4dc92f4f, 0x21528261, 0x7c806c0f, 0x2b889d35, 0x3ad2bb78,
+    0xc03324c9, 0x01c2b0c7, 0x83d73db8, 0xda3f7ba1, 0xce891fe3, 0xc2b970c9, 0x75a34a9a, 0x817694cf,
+    0xcdbcd9de, 0xb7b12696, 0xbafe9559, 0xd9254eaa, 0x2129a0fa, 0xf333d4c2, 0xae243646, 0x3b645566,
+    0xa81e5dbf, 0x7e5d8133, 0xc123b51e, 0x94d96ed2, 0xaa140d0a, 0x485818c6, 0x20a12227, 0x54e6e3f7,
+    0x9f8099ff, 0x300f095e, 0xbea0a84c, 0x254dcd8a, 0x39da7816, 0x185dac35, 0x086c3882, 0x7cb6a1c2,
+    0x61f5d5cc, 0xdc5fffdf, 0x0652b255, 0xf7a2e909, 0xafc73504, 0x1354d707, 0x5fa4bc19, 0xd3d0eb73,
+    0x8a06e6ce, 0x5b948a72, 0x10d79b64, 0x37d9cc48, 0xb0aabf79, 0xd3cd45b6, 0xb762cc05, 0xa52b6325,
+    0xe8da5433, 0x02abab40, 0x23fc2013, 0x82d3e768, 0x94d7b080, 0x17f5dfab, 0xb03df8c6, 0x3b76d8a8,
+    0x28f1f804, 0x3d911308, 0xd34b0683, 0x3f8a37f6, 0xf5573c1b, 0x3c352506, 0xaee9d6ba, 0xd0b97df2,
+    0xf5965715, 0x913b620d, 0xee6b9a57, 0x746fa9bb, 0x8305ecca, 0xf41c5116, 0x13d3a4d1, 0xca74b1da,
+    0x39ceb4ad, 0xc714fb60, 0xff8c9ce8, 0xa5cfde46, 0x577039f8, 0x4ee60d4a, 0xd2fc09f8, 0xdab8e03d,
+    0x4ccdc80a, 0xe651b1d0, 0x8891cf76, 0x051df2aa, 0x7a76fa10, 0xea89eda8, 0x96b6d736, 0xac33ad69,
+    0xa50c1bbd, 0x2705b2bb, 0x9de86415, 0x4cb6e066, 0x3b5488dc, 0x1a10bd6b, 0xb0ad01b5, 0xf0145d41,
+    0xe698b585, 0x7c846d16, 0x011acaf4, 0xe6e86402, 0x67f70470, 0x0ce13b4e, 0x0ad1e058, 0xd4a6836d,
+    0x4ae9f9cb, 0xf4fd1ec5, 0x729b807f, 0xc74798a6, 0x476098a1, 0xd34a9248, 0xed1037a1, 0x4b22eac5,
+    0x620db112, 0x87e191d0, 0xcb00cafb, 0x14b93430, 0xbc22c69c, 0x143dc3e5, 0x04361739, 0xca1b2cca,
+    0x4e9f9ed7, 0x4e390307, 0x8520cd61, 0x7d67896b, 0xfbbfab44, 0xfccaa7d3, 0x37200e42, 0x1a812264,
+    0xba075934, 0x0895edf2, 0xe0ac18d4, 0xb405dbf0, 0xe178b3cc, 0x3c08c0d7, 0x1487d2f1, 0xd15fab20,
+    0x93e94565, 0xa70b542d, 0xa8cd1f71, 0x452517ac, 0x6c48eb91, 0x36789628, 0x5cad0b5b, 0x317193a5,
+    0x8c104d96, 0x77290e0d, 0x5db5749d, 0x7d8fbe0c, 0x80b3d86d, 0xd1b0e16a, 0x1062ab1c, 0x83c26da2,
+    0xdc003a22, 0x0872b2db, 0x1df93036, 0xaf938a01, 0x53b820c6, 0x5651be9c, 0x25bda554, 0x3b2a4284,
+    0x2564c317, 0x209c84fa, 0xb398a13a, 0xd250cf2a, 0xb6f5e6fc, 0x0b279534, 0x4dace555, 0x9e297032,
+    0x547407d8, 0xd1df6878, 0xc666f4a1, 0xd1738176, 0xf0547592, 0xbb0622cf, 0xc2267806, 0xe5e0a06f,
+    0x00bc6419, 0x6d42f9b7, 0xd91f7352, 0x4d908626, 0xb3ad2d34, 0x50bf882f, 0x809d1356, 0x23c5bf1b,
+    0xba581f82, 0x9c88cf03, 0x2f681301, 0x301fcc2a, 0xb4a792b0, 0x6caa3354, 0x57f599dc, 0x95521a23,
+    0xb19db6ee, 0x9ee7b98b, 0x1e74cc00, 0xb526bd2b, 0xe1596b6f, 0x07a0c8a4, 0x550a0ddd, 0x06f030ca,
+    0xc90b6f08, 0x401b251e, 0xb1ae1710, 0x9a2ca269, 0x15fbaf3f, 0x32e2ce3e, 0xfa96a7fe, 0x99dee1d5,
+    0x3168dfcd, 0x7fa0b350, 0x3b13cf43, 0x6442401d, 0x01eb0db0, 0x74cfc2c2, 0xc4a92f2d, 0x208c69f8,
+    0x6f264d06, 0xffb0f125, 0x7ae1b8fc, 0xad16866c, 0xec3e72aa, 0x95cd9e55, 0xb15bef08, 0x4a44edbe,
+    0x6dd3fd7d, 0xbb266b9e, 0x87b52529, 0x7f5327fd, 0xd68d86a1, 0xe7a510b2, 0x330c7bcd, 0x6cf424f5,
+    0xa76bcbfa, 0x898523ef, 0x175d37ba, 0x51df93eb, 0x7f1d6b00, 0x602417e3, 0xa4071596, 0x95742ff3,
+    0x348d63ba, 0x7dbcd61c, 0x346ee618, 0x53e244d3, 0x79cc2982, 0x5f5ef889, 0x0455e8e6, 0xf6881db7,
+    0xd8bf7ff1, 0x294a466f, 0xd12b7e63, 0x7d531a25, 0x34ef72f2, 0x85808338, 0x1a5ebcac, 0x2941309a,
+    0xefca04a8, 0xf602c912, 0x53550dfa, 0xa46956c9, 0xf0c585bf, 0x5d9747a0, 0x55da0c16, 0xa4c4c3ac,
+    0x2a35dc00, 0x9cfc7c9a, 0xf622bea8, 0xbe141a30, 0x2b336b06, 0xb0d7566e, 0x4c5c42ae, 0x33e1a508,
+    0xd56fbcd0, 0xa1a4b997, 0x94b5c7dc, 0x3b2d8a81, 0xdd0ee131, 0xcc606503, 0x2e8e0ad9, 0x8e84bff9,
+    0x901204fa, 0xe79a6340, 0x63ca3455, 0x11025b19, 0x5b7998d7, 0x1f08c8d7, 0x600352c1, 0xc3957dcb,
+    0xb9bf8d39, 0x81dd1870, 0x417cdd6e, 0x519fba82, 0x2ca33337, 0xe949f63c, 0x476ad81e, 0x039eb287,
+    0xdb488101, 0xbbaec42b, 0x45a574a0, 0x20a9d67e, 0xbf8e865c, 0x299c9644, 0x6b87ef8e, 0x7fa960a2,
+    0x683ddf2a, 0xb38df0a1, 0xc43d1e48, 0x59d24121, 0x631d63e5, 0x307bd820, 0x59aaf7af, 0x950c63a0,
+    0xbb81e865, 0x04be2c31, 0x6eda89cb, 0x0121d773, 0x8544c356, 0x3e51e331, 0xaa05a28f, 0x7a26f807,
+    0x043c72ed, 0xd5cee91b, 0x92a12123, 0xc7bf1230, 0xdfdb2dfe, 0x5029b2d2, 0xfad12542, 0x60196a4c,
+    0x2de71301, 0x1e138f13, 0xbc7c638c, 0x994b2389, 0x08a852fb, 0x94a6c38b, 0xcb61f523, 0x5022a2cb,
+    0xfab93edf, 0x638dd518, 0x7bfd7a74, 0xe038a149, 0xa8ade9ec, 0x426dca4f, 0x012b76bf, 0x516edeb7,
+    0x616d0275, 0xcc25aca4, 0xaf91e4f7, 0x23e3ccd4, 0xed0371d6, 0x4bc57f94, 0xec662400, 0x0f98210e,
+    0x456dd74e, 0x528391b7, 0xc296d89b, 0x0d85ba4b, 0xe04af164, 0xab59d9a4, 0x322c9062, 0xb4383dfb,
+    0x8f7665ce, 0xdde310bf, 0xa308693c, 0x679482f2, 0x0b1c5802, 0xb72a6918, 0x7440e4bd, 0xf09f2750,
+    0xf567898f, 0xe872ab45, 0xc37ea19f, 0x39f1e473, 0x79757964, 0xd19600e9, 0x9d868310, 0x3ea663f0,
+    0xd8d9b005, 0x8023f591, 0x6a7907ad, 0x1780994a, 0x8616f3a1, 0xe3f62507, 0x477647b6, 0x858448ae,
+    0x1199af02, 0x6281ee07, 0xf77e8205, 0x8b348b6f, 0xfb83272e, 0x039575d9, 0x47a2d69e, 0xe9d9ecb4,
+    0xb7c41fc9, 0xedd399da, 0x1c23c582, 0xf6a9864a, 0xb1cd4dba, 0xe5a97b48, 0xb5a4d543, 0x4a882a01,
+    0xd103b101, 0x1e74529c, 0x7e78362c, 0x7b208268, 0x391efcc7, 0x88bda7bc, 0x63efbd2b, 0x65a2b834,
+    0x8823b662, 0x7e1fc8f2, 0x3283eb8c, 0xa0ecca50, 0x75bd7d27, 0xaefe867a, 0xf57a60c7, 0x42c32664,
+    0xe8b5e2ed, 0x669ab4a2, 0x2570c19c, 0x4dd9f23d, 0xdee88eaa, 0x3ccced83, 0x0ab317c4, 0x7fa78aaa,
+    0x440512c5, 0xc451ba02, 0xaad264ec, 0x8a9849d9, 0x4737153c, 0x5fe3c0ff, 0x6e1d4fb4, 0xc670687d,
+    0x1d17d535, 0x859702e9, 0xb34cd817, 0x1bb52d6b, 0xd4795c3d, 0xa66e5068, 0x3d998b73, 0x0b1e2d81,
+    0x8d012d9d, 0x358a11f9, 0x9ca8472d, 0x7ed49e29, 0xd3259bf6, 0xdd789bf6, 0x1f55c1e0, 0x72365e96,
+    0x499b6702, 0xcaa0c1b2, 0x6e809019, 0xb2193f68, 0x8d5b6afd, 0x6613d26b, 0x06d00b85, 0xbf0559f4,
+    0x5f2a85df, 0x75e975b9, 0x66bb872d, 0xa53b9a5d, 0xbf2caec5, 0x8d361e07, 0x41ca1b6f, 0x9f471388,
+    0x42b39bbe, 0x4739b67b, 0x7ffa8d4a, 0x194f98ea, 0x4493915f, 0xc01b796c, 0xaaf51260, 0xdab7bc16,
+    0x2e0b9c25, 0x254ac8b8, 0xe2216a06, 0xeb1cbe1a, 0x80622c32, 0x0cf19c90, 0x99a26fe7, 0xb510de21,
+    0x15875783, 0x57a71c00, 0xc1133120, 0xf55e58ed, 0x3123cc6f, 0x4f0df5d4, 0xd974ed0e, 0xa80eea94,
+    0x27ec4df0, 0x1be622b1, 0xebaddffe, 0x6436519b, 0xd8b52b04, 0xeaf22516, 0xe21333fd, 0x18ff8cd7,
+    0x72893e70, 0x15b29941, 0x9ee6ef71, 0x744ae651, 0x26db4091, 0xb16c2cb8, 0x4963fba0, 0x48a0ecde,
+    0x69cf2c5b, 0xcecb1839, 0xf4dfb7aa, 0xc0f7b4e3, 0x8e987c0c, 0x7c7c8811, 0x27e1fede, 0x5a327bcb,
+    0x8e1fb999, 0xe83abb38, 0x84b045db, 0xa767ccb1, 0xe0f75fef, 0x9beaa2f2, 0x3c75b15f, 0x1bab81c5,
+    0xf3d8696a, 0xaf701114, 0xc77519e9, 0x29950050, 0x34b93ae6, 0xd1517ff7, 0xa9bf077a, 0x6a8dfd64,
+    0x9d96bcc1, 0x4f13be17, 0xd6f3d437, 0x2932d6c5, 0xf75ad23e, 0xd41abbb8, 0x76177a44, 0x720e9e12,
+    0x7b103190, 0x2cd443b9, 0x1b2c9517, 0xe6c1cd5c, 0x15fc357a, 0x7456e762, 0xe0f3eb6b, 0x4f120795,
+    0xc014b9ef, 0x45812e53, 0x84b00adc, 0xaf71622c, 0x333068a5, 0xb1d35a76, 0xd4b65f20, 0xa4188b81,
+    0x40702853, 0xe5daf769, 0x9042c489, 0x08c91bed, 0xb856c4f3, 0x59e1ab1d, 0xe979a07a, 0x01928047,
+    0x60221ee7, 0x7a3bffae, 0x573ab0dc, 0xef8bcf78, 0xad7f90bd, 0x461099dc, 0xd6f8ea37, 0x31111f47,
+    0x42de8a6c, 0xcf9f612b, 0x198d83d8, 0x8506570f, 0xcd78df6e, 0x1da22ba0, 0x30a171de, 0x9eba57fc,
+    0xa60d94cc, 0x25b401e2, 0xed404efc, 0xe2261573, 0x6082ecc8, 0x3b8323fe, 0x323dea35, 0x60674b2d,
+    0x546189ce, 0x0235fd03, 0x9f784fc6, 0xd2dc86c5, 0xed677a51, 0x0a0bd22e, 0xf2bc37f3, 0xe0c3f9f0,
+    0x00000000,
+    0x0565ca53, 0x1435ee48, 0x63ad0bd6, 0x3e24beab, 0x9dd51f3a, 0x06650fde, 0x82e7859d, 0x91b6ac80,
+    0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000001817096810739017226373309519720011335884103401718295150703\
+                         72549795159822028349480831547762678440891390190630401566544483383650407153664 */
+  { 0x00000000,
+    0xb0a3e9a8, 0x89e4b679, 0xa218ad18, 0x3c514d15, 0xfe37af46, 0x423592b7, 0xc1530ed2, 0xf90dc175,
+    0xbee4f4ce, 0xd9912c30, 0xcce39882, 0xbc6bb89e, 0x6583057e, 0xcf221f18, 0x78eedd74, 0x91fbc793,
+    0x652f66aa, 0xed0ac540, 0xf84d5804, 0x887a5d2c, 0x75f3ac24, 0x926bb513, 0xb351bb90, 0xbde4e1ec,
+    0xaa50ec5b, 0x9fe801ce, 0x72890053, 0xe5388bbe, 0x85c65d47, 0xcc8173e7, 0xb95adfaf, 0x7a1f57ec,
+    0xf8e1c004, 0x06ad94c1, 0x0561af5c, 0x5ab3f377, 0x3359872d, 0x3150f083, 0xca25f250, 0x1c3957e8,
+    0x0da12a08, 0xd5ccd900, 0x0b574100, 0xcc247bcb, 0xcd60a48e, 0xcd634927, 0x2fb8d263, 0x938db0f8,
+    0x78d6097c, 0x57027d38, 0x1c5644b1, 0xe34c0933, 0xda61e6aa, 0x71d0cd04, 0x4b5c59be, 0xa6aec02b,
+    0xc03978be, 0x81999f0b, 0x2e1d2c3d, 0xc210b3a5, 0x04189de0, 0x61432b25, 0xe4e8b5e6, 0x44dc8963,
+    0xb4bac070, 0xf68ececc, 0x3c843613, 0x1c2298b2, 0xd40707aa, 0x08c5776c, 0x6a9df36e, 0xb022ae9d,
+    0x7f338a02, 0x96af91a8, 0xd523f54e, 0x155c68be, 0x4138f600, 0x8bb680e3, 0xc6eb61ea, 0xb214ee81,
+    0xa5822399, 0x7b7eae10, 0x65e46697, 0xfce49f84, 0x3a97cd3f, 0x951e5533, 0x4eacab6f, 0x64f963e0,
+    0x9e32499d, 0xe0013862, 0xbe81236a, 0x8b757f51, 0x6aa962e6, 0x2920f3c8, 0x1bad9104, 0xbddfd619,
+    0x8479a619, 0xc04156db, 0xbf383503, 0xbd946847, 0xb743a770, 0xb3333800, 0xd6695cd8, 0xf66a9ba9,
+    0xfe855e54, 0xc9675e86, 0x7bd58266, 0x3fee5b6f, 0xb4472fae, 0x76f73131, 0xd2a3de7f, 0x99c6736b,
+    0x5b68dfee, 0xfb078dd9, 0xe718da28, 0x97984520, 0x09a008d8, 0x7a887972, 0x093efeee, 0x3618978a,
+    0xf73f528b, 0x3d973c7d, 0x06136185, 0xa87f3037, 0xcede592e, 0xadb93673, 0x71948c8e, 0x233eff9b,
+    0xcaea227d, 0xad053319, 0x3f6f50ad, 0xbdb07d15, 0x5655ae1d, 0xecfe0ea6, 0xa92220a6, 0xc41c1dcc,
+    0xc9d947a2, 0xc23cf591, 0x5acdb217, 0xf37da212, 0xef478560, 0x8e1819bf, 0xdfc97498, 0xabce38ad,
+    0x3d2bcd5e, 0xd2489e32, 0x25a49c43, 0x2c643f94, 0x00f4bd94, 0x8b2353e0, 0xe69c1474, 0xf108dc05,
+    0x06b62e76, 0xd6e0483e, 0x0d9a8668, 0xb8f0d43f, 0xc11e201c, 0x87fd11c1, 0x2935e8c8, 0x1646471f,
+    0x65ae3294, 0x97cd2fef, 0x326f7dee, 0x6dab631e, 0xa2eee3bf, 0x2c89c59f, 0x586d0927, 0x0478e90d,
+    0xf54ea852, 0x0d336857, 0x391c03ab, 0xc050f0e7, 0x83515d8f, 0x78e967f1, 0x342abd30, 0xcb38ece7,
+    0xe1e1182d, 0x2f487758, 0xa1578858, 0x2b685dd9, 0xcadbf6d0, 0x6370ff92, 0xd1a83407, 0xfe6a25e8,
+    0xfd13ca08, 0x0aa8f233, 0xfb649aae, 0x34af1b34, 0xb7e29a85, 0xfc381483, 0xdf5ccec9, 0xfa25ba41,
+    0x1ca44775, 0xde8ead40, 0xc7369e1e, 0x92c2ad2b, 0xa686ab52, 0x50233d87, 0x0fe8a108, 0xa92c7a60,
+    0x35edf7d3, 0xec786ff4, 0x140b34f6, 0x09ce5627, 0x3f8024f1, 0xcb694944, 0x92ad2ba4, 0x8621e153,
+    0xdc27f9dc, 0xd506c78c, 0x958504dd, 0xb6d40bc7, 0xb789f87b, 0x5d8d9a65, 0x149b880f, 0xc76c81bb,
+    0x3f8d8226, 0x30f8a68f, 0x4f8d17f0, 0x90fc2b74, 0x8a460672, 0x3b0d1682, 0x516d271f, 0x7ffe8850,
+    0xcd5ef121, 0x2605dda6, 0xf165aeed, 0xa13a1567, 0x821111b8, 0x0d03c09a, 0x5e4949d9, 0xc6f0fa64,
+    0xf24635da, 0x0ad0d887, 0x8f43b4e9, 0xd86318a3, 0x444a09b4, 0x8e473041, 0x718246ac, 0x076dd83f,
+    0x3d85de6f, 0x9881553f, 0x32d12e5d, 0x075ccb40, 0x4f71c5ed, 0x519936e2, 0xcaf2fb33, 0xd3dcb5d5,
+    0xcf469bcc, 0xb25b7a73, 0x923a8cb9, 0xea7ad4d9, 0xac721c45, 0x592f1cfa, 0x061b1e79, 0xccc6ed74,
+    0xa8773374, 0x049ef578, 0x4b865132, 0x314208bc, 0x6e3bdf06, 0x1464dff6, 0x8a7350d0, 0x3d9c6214,
+    0x47be3265, 0x318b7af7, 0xc73e3482, 0x367759c0, 0x43ff7d4a, 0x1bf1d473, 0x869d4a9b, 0x05243bf1,
+    0x00581c01, 0x0d02171a, 0xd495fbbc, 0xe7a1b1dc, 0x319ac4e4, 0xb6d08f8f, 0x381b894b, 0x799c1cd6,
+    0x50ba5744, 0xdde5a5b6, 0x4ab8d8de, 0x835ad733, 0x6f42a893, 0x8eb65675, 0x72dbfd0e, 0x6ef6ee25,
+    0xf2a72aff, 0xf7dee570, 0xd6c1465f, 0x1b14b809, 0x9924430e, 0x0c4736b2, 0xf9f47263, 0x775a5f17,
+    0x8497c088, 0xb67db4f9, 0xc3d722c0, 0xb11c997d, 0xee9e66cc, 0x3ae4ba72, 0x3f9ed541, 0x6a4e2d25,
+    0xd41ffa56, 0xcd638474, 0x40d468ea, 0x3ca62817, 0xc6a555df, 0xe75eb89e, 0xcba463ec, 0x2448f4b8,
+    0xe71ff922, 0xff78c25e, 0x0df757bc, 0xd0e9ff00, 0xd458e5c2, 0xe76da296, 0x00962cc4, 0x655f5a7c,
+    0x21df952e, 0x8fba2a36, 0x513d1b93, 0x150ea860, 0x3ef05fb0, 0x9f4eef29, 0x83378aac, 0x7e7c5341,
+    0xd54cb68f, 0xa5268740, 0x397299a8, 0x917d090d, 0x725b5d57, 0x0395de4f, 0xfdee52d3, 0xeaec9151,
+    0xde2b1f39, 0x6d44d9d9, 0x3cb5459b, 0x0b772290, 0x80c56f38, 0x1f9ccd2b, 0x2ac442af, 0x2eb621ce,
+    0xb02f1ae1, 0x6dcc47e3, 0x32042bbd, 0x1441b310, 0x74b751f4, 0x6b8e7fc7, 0x85c3349a, 0xcc852dfd,
+    0x59ff20b5, 0x9d8329d6, 0x591a9f72, 0x8827e102, 0x3fa33fb0, 0x21316f1b, 0x17354d15, 0xdd38ba9e,
+    0xac02a1e1, 0x0be0e762, 0x1327b120, 0x418e11a3, 0x5ba1d02b, 0x979f989d, 0x0d3dd7cc, 0x4fca6ec6,
+    0x3c589f0f, 0xe95e3aee, 0x518e2991, 0xf788ad87, 0xf8f05bda, 0xd8d76560, 0x874c0f95, 0x4090af1e,
+    0x19b031b4, 0x54529543, 0xe96f3a4e, 0x79a87ab1, 0xecdd842a, 0x5b73d99d, 0x9da2dcfe, 0x07640c87,
+    0x9daf2cee, 0x51f5552a, 0xe2cc01e3, 0x1b3f133d, 0x527d64c9, 0x26cb9c33, 0x2808c25b, 0xdce6e1f6,
+    0x8bc80633, 0xd42ae0be, 0x9bcd15c3, 0xf0225d36, 0x96be1b75, 0xe313ab45, 0xa8bc6762, 0x33d4bf81,
+    0xeab479d9, 0xac6f8f9d, 0x9e3ca7ca, 0xf2ab72ae, 0xea2f038c, 0xb8981e83, 0x4a1d07fb, 0xd64e87b8,
+    0x1ff89b15, 0xd1abda10, 0xfc837804, 0x8d57b604, 0x8a852c6a, 0x44889817, 0xe41133d8, 0x14a6fb69,
+    0x87e4cf33, 0xf428873c, 0x5e8cad97, 0x3239cc32, 0x40f24052, 0xc6a912ea, 0x9a98798a, 0xc101f720,
+    0x5cabd82d, 0xb4920fa9, 0xeb6d7699, 0xec3ae142, 0x471c4dcf, 0x8e57d415, 0x75c3d218, 0x97037559,
+    0x6f360466, 0x2dc4693e, 0xb2a5fb41, 0x204f6fcc, 0x8fa3da6b, 0x44ccb209, 0xca09da4f, 0x4122093e,
+    0xca26f0ca, 0x07138b8c, 0x0ee20da7, 0xf1d8ff59, 0x3b31461b, 0xaa1fee80, 0x2baaf4ad, 0x67f7bdea,
+    0xaf47a826, 0x2c7ff7d5, 0x1cedc853, 0x6cb1da0b, 0x9f333dd5, 0x8cd5769b, 0x79db55da, 0xbcc5efed,
+    0xacb16189, 0x10535429, 0x0222ba52, 0x86f4e1a7, 0x0040349c, 0x4b02ecf2, 0x77ed5b1c, 0xebea60e8,
+    0x57dfb666, 0xc9dff1d0, 0xb023160f, 0x05904069, 0x039c812e, 0x8a373629, 0x295faa79, 0x887bde1e,
+    0x673cc3ab, 0x7ac6f686, 0x566289ff, 0x0ac390ed, 0xe20ac376, 0x855a55b3, 0xb2fe4d75, 0x23518098,
+    0x43f22229, 0x131931a9, 0xdd27b1f3, 0xfbc5d235, 0x011bef02, 0x79871404, 0xa686f9fd, 0x78adc500,
+    0x207e94fe, 0xde703186, 0x07aed082, 0xe32e0473, 0x1d1bfd67, 0x6da7fa5b, 0xee9962cb, 0x7b947803,
+    0x87b49cfb, 0x7416b47a, 0x7f67276b, 0x39939370, 0x9fbf80f2, 0x75bd79b3, 0x52a37ed6, 0x46ee4b76,
+    0xcad19130, 0x9eaeec66, 0xaa0e3d60, 0x58c22423, 0x5b700591, 0x7277a996, 0xa095aaf0, 0x92a580e4,
+    0x54dfde24, 0x029fb2ab, 0x48014877, 0x73d9d0fe, 0x354a3367, 0x01c51cde, 0x3d61d400, 0x8eb1add0,
+    0x9c2a9a97, 0xe54a9d82, 0x49897378, 0xa92adf88, 0xf586a00c, 0xd3726eab, 0xfde88553, 0xadb8250e,
+    0x10f968fd, 0x18869544, 0xc88cfa0a, 0x0bfe104a, 0x8456830a, 0xd169b130, 0x4bc9a488, 0xa43ffd73,
+    0xc8595e53, 0xda4f4e34, 0xd29be1cc, 0x1f6d6fd2, 0xd8bbe60f, 0xbb4a47de, 0x4061d700, 0x5935cca6,
+    0x7ca7b531, 0xfe8da59f, 0x286c99be, 0xc44d9647, 0xda61f823, 0x1eb63eb7, 0x2217559c, 0xa5cc612d,
+    0xe571bf7c, 0x8ef8ecd6, 0x71e85c04, 0x25acb359, 0xe0baa769, 0x5dedbe86, 0x31cf20cd, 0xcd31751a,
+    0x3e69dc10, 0x80f4de8b, 0x4e89fd63, 0xe38638c5, 0xee3685eb, 0x714365fc, 0xe503d502, 0x6a7ec27b,
+    0x383b13ac, 0x9e50f8b1, 0x6b9e2c98, 0xa05cdc59, 0xecac276e, 0x32b61eb7, 0x4a8915e5, 0x8f2e678c,
+    0xab9fc5ad, 0xb30c6fbf, 0x85e247a7, 0x8635b629, 0xe5b8877d, 0xe4461fe7, 0x44d72b6b, 0x5a253888,
+    0xbd596562, 0xd3f7e02f, 0x1c284de1, 0x74ddb9e0, 0x1ef97e34, 0x11c23fd4, 0x15c03a8d, 0xa686d418,
+    0x2e3f9db8, 0xbf277a48, 0x588d4845, 0xd3ef0f4f, 0xb0dd2921, 0xc54ed3ce, 0x77bec692, 0xdf1851c6,
+    0xd7e3cbd4, 0x0c9b82d7, 0xde0f2134, 0xa73e8697, 0xbd6f69f3, 0xc1b538e1, 0x6139eda2, 0x369356c9,
+    0x52611379, 0x863618da, 0x74c691fe, 0x88f8bd53, 0x03547da1, 0x8c64942a, 0xa81485e4, 0x52b10f4a,
+    0x6e43c411, 0x8ecf447c, 0xbe9037e0, 0x0d65d5e6, 0xcb890cdf, 0xb7ea69d4, 0x00aeee63, 0x37d7e1d2,
+    0x217951d4, 0x8ec3c294, 0xb4af36e5, 0xbf3029df, 0x3149c2cf, 0xa67e3763, 0x7f4b7d22, 0xf9e9a4fe,
+    0x95753dc7, 0xd85f8a2f, 0x24cef18b, 0xe3f3493c, 0x7a56ad35, 0x16b0bc1b, 0x699f656f, 0x377c9792,
+    0x3390cc8e, 0x7ebe2f67, 0xfec88eee, 0x90e14b0a, 0xef73b2e8, 0x3479e35e, 0x1ac6402d, 0xd47deacc,
+    0x44f9f020, 0xdca6681a, 0x9ca4a25e, 0x7d0865d1, 0x794d3d06, 0x3719d5d8, 0xc53dfa33, 0x795154c8,
+    0x2fb1f349, 0x56c3fa72, 0x239322a4, 0xd91929f1, 0xf5aed750, 0x9b128dac, 0xed87a506, 0xa187e9bf,
+    0x1f3f70cf, 0xe52484b7, 0x8f029634, 0xc94b7590, 0x15f4c879, 0x80dd6639, 0xa26c42d9, 0xfb2aea14,
+    0x73ff5889, 0x99dc0e9e, 0x6d5a196a, 0xe5ecd625, 0xfdd7586b, 0x3ceccca1, 0x9406cc26, 0x39e6fe28,
+    0x6883e96e, 0x7592aabf, 0xf108196b, 0x74331046, 0x9ead34d1, 0x38532db5, 0x30c9afea, 0x84eaa827,
+    0xddaf9c1a, 0x4af0d207, 0x47d5f5ef, 0x13cff191, 0xeb54b731, 0xf12e3534, 0x02c4b93f, 0x915d6a87,
+    0xae9a1a0c, 0xf008b3cc, 0x0693e021, 0x68c47534, 0xede499d2, 0x27793ded, 0x278eb642, 0x3cd22c4d,
+    0xd8bfd490, 0x122eabb8, 0xa5c49012, 0x3d270ea9, 0xc3faf89c, 0xf13c6fbe, 0x2f4334e8, 0xcf6487e9,
+    0x8d84e0a6, 0xefabed0d, 0xdf57aa38, 0x6547478c, 0x553891c2, 0x6715fd4c, 0xc13fe7d9, 0x7f52f43b,
+    0x0a1e8f25, 0x80711eb6, 0x306b08b9, 0x722bdbf0, 0xb2c2dc4c, 0xc353fee9, 0x7c4a0f3f, 0x205bdda9,
+    0x5cc34b95, 0xbbd21f85, 0x63db7c61, 0x7c32ccd3, 0x7732314b, 0x86a41f0f, 0xb86a7466, 0x446a92df,
+    0x10564bbb, 0x3a1c1fe9, 0xd914dd6a, 0x59a7a936, 0x14153cc5, 0x60254e08, 0x583c7ab0, 0x104f3eff,
+    0x0a61e458, 0x7cfca3ca, 0x79e01aff, 0x5e9d8bdd, 0xc556ce5b, 0x79fa0bd6, 0x2f3ef9cc, 0xfee954c7,
+    0x54826b1e, 0x1e9deb20, 0x05aec184, 0x239ea57a, 0xd9b6e1e4, 0xdaa501b9, 0x9ee1db0a, 0x267f0100,
+    0x14c07785, 0x32e0981a, 0xbcbda0f8, 0x7ac999e2, 0xe7a1a594, 0xf9e3ae79, 0x3fc8364f, 0x4ee8c290,
+    0x2c25819f, 0x2ef1a578, 0xfd099a5e, 0x4d1d4969, 0xe4c479d1, 0x0d76038e, 0x376e3e6c, 0xb10a8f29,
+    0x33814dae, 0x54eff74a, 0x8435d54b, 0x22a3a318, 0x7b3bea38, 0x69620936, 0xc08d61cb, 0x5c219b6e,
+    0xa18b2536, 0x0acff8c3, 0x4edad57a, 0x6b19a040, 0xff80ee7d, 0x3c1a2b80, 0x11595406, 0x04248862,
+    0x75b915fe, 0xed35c621, 0x007ffebd, 0x425a5e55, 0x20b501f3, 0x545e6ecb, 0x9241d2dc, 0x72a3609d,
+    0xedd841a4, 0x1cb145e2, 0x0187afad, 0xd9c7f22a, 0xf2bb72e5, 0x39ad834f, 0x854f08e0, 0xc04ee84b,
+    0x7eb8cf17, 0x23a32c6d, 0x8f817123, 0x845430b7, 0xd9b7bfad, 0x4f337f8f, 0x02c74bd1, 0xb88be2e8,
+    0x6553d57e, 0x7bd92ae5, 0x93f71756, 0x70f60468, 0xff398726, 0x68e830d1, 0x05da5545, 0x7ce7195a,
+    0xb4f59137, 0xe55d8856, 0xaeca4e26, 0x82f18af8, 0x8dc020b2, 0x8070b565, 0x7f2ec7ea, 0xdd6dd5a7,
+    0x8617ad43, 0xbcf9d9d8, 0x0a6d99e1, 0x2aef78b2, 0xac15d115, 0xdee72b3b, 0x35128222, 0x74845a0b,
+    0x4c65c718, 0x18781c14, 0x8ff5fe6e, 0x8c2982ae, 0x0be47248, 0x2bb917f3, 0xbb88988b, 0x9dded26b,
+    0xb31f2225, 0x1d63cce7, 0x93f39b13, 0xafa4ce05, 0x8f2f7dee, 0xef8e306a, 0x39def92a, 0xcde3421c,
+    0xfd89c084, 0xdb3af0e3, 0xb6d3b4e4, 0x4651274e, 0x8025647f, 0xf72874fb, 0x31e54654, 0xf81ee2d3,
+    0x2b1613dd, 0xd65e4475, 0xab781605, 0xf8a6c910, 0xf90c8544, 0xa14f2f22, 0xd448268b, 0xd3a8194d,
+    0x7a62041b, 0x49c6bab0, 0x69761e0e, 0x141b2e98, 0x4602baf5, 0xa58e7f64, 0x637df279, 0x7bc5b43d,
+    0x6313614e, 0x021a480c, 0xdf3b5385, 0x9878cfc4, 0x1b6c322b, 0x0ed0d2e8, 0xc6b7b94b, 0x90d47f9d,
+    0x3cc22b5a, 0xb0c96286, 0xe5c515d6, 0x6c4f9b1e, 0xcb529c39, 0x3ecc3e4c, 0x85035e04, 0x2da23147,
+    0xe30a0091, 0x7759cc6e, 0xc8d088cc, 0x83549205, 0x9f24250c, 0x528d4b98, 0x1417fd84, 0xf1bd76df,
+    0x234943de, 0x72a083a2, 0x7d6ddd52, 0xa3a676d1, 0x2278c87d, 0x8f77a378, 0x698df9ed, 0xb937ec82,
+    0x021c40d9, 0x5e66d7c1, 0x91df880e, 0xb61177d9, 0x16b09bf2, 0x76c28c79, 0x243097fb, 0xabf273b1,
+    0x6eafeb39, 0xb2cae766, 0xa0bd10f9, 0xc163e0cf, 0xac4510c7, 0x6a63a866, 0xd0d7fba9, 0x587832e9,
+    0x31baaaa8, 0x6fcbb174, 0x81c338b5, 0x97024b56, 0x09d80870, 0xd692a6de, 0x7b9151cb, 0x7302a181,
+    0x77d89e72, 0x672944e8, 0xa0afa403, 0x0df2cf64, 0xffa8d266, 0x0f764833, 0xdf9aeb05, 0xb07dd591,
+    0xdc0461d8, 0x566c49ea, 0x14069b60, 0xa3b13c75, 0x2c4d893c, 0x7a26783d, 0x709799d6, 0xfd68b77f,
+    0x09450afc, 0x7effba3c, 0xd99dccd3, 0x6415d51d, 0x83efd52e, 0x90037548, 0x072ce06c, 0x5f2f569f,
+    0x71b850b8, 0x9dfe7b33, 0xa90436bb, 0x1670c0c5, 0x4faea20f, 0xb7b30ee2, 0xcb037ae9, 0x0f62cf39,
+    0x882051e6, 0x8e1ef87e, 0x5e7c3532, 0xb3b0e8eb, 0x19bc45b6, 0xdde648c8, 0x43f312a8, 0x613bf180,
+    0xeb3891a3, 0x0e5160e5, 0x108594f9, 0xdddd7f1a, 0x3e8d6c8c, 0x6eac8a77, 0xb00e3f2b, 0xaa46247e,
+    0x4d8e7a5e, 0x188cda98, 0xe3175265, 0xcb36b2db, 0xac2be761, 0x16bcc34d, 0xa8a14033, 0xfd4ab6d5,
+    0x37eccbfc, 0xad4f7503, 0xa7901445, 0xd93ac895, 0x167724f8, 0xdf25ff25, 0xe6ab3295, 0xf139fd50,
+    0x9851e4a4, 0xd6d2f877, 0x9abb1fd7, 0xade04c51, 0xb32da4db, 0x022b0ef3, 0xb545d169, 0xa99dff96,
+    0x00000000,
+    0x02b2e529, 0x0a1af724, 0xb1d685eb, 0x1f125f55, 0x4eea8f9d, 0x833287ef, 0x4173c2ce, 0x48db5640,
+    0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000908548405369508613186654759860005667942051700859147575351\
+                         86274897579911014174740415773881339220445695095315200783272241691825203576832 */
+  { 0x00000000,
+    0x1f88e42b, 0x42388d04, 0x73486bca, 0x55ba34e6, 0x47893ae6, 0x69644704, 0x6a5fa608, 0xc4693f81,
+    0x8ede1e7a, 0x05d4c785, 0xb0b210a7, 0x8a71b740, 0xac0f15e1, 0xaabc1bfc, 0xf37b4f0c, 0xa9755487,
+    0x5f6fd374, 0xc6d87423, 0xe429ca87, 0xd2442b31, 0x2c56b25b, 0x0ba7b2f0, 0x6c7cea25, 0xc9cc1edf,
+    0x797bfb4c, 0x35f84b98, 0xec0685c9, 0x2efdff7f, 0x11dda8f3, 0xb2d541c2, 0xb7e6dbf6, 0x5fc456e2,
+    0x25a85798, 0x279cf08f, 0x42d12d0f, 0x103f8749, 0x74148ac1, 0xa0821bb5, 0x3bc31eb7, 0x00b73369,
+    0x209d3e8a, 0x81353151, 0x453c7f47, 0xb23f2d8e, 0xcb1a72df, 0xfb99555d, 0xb8d1e4f2, 0xa3a5ca58,
+    0x0d17b9c0, 0x3e5fa384, 0x7004b532, 0x72df8c1a, 0x1f0aa178, 0xcbbc5a09, 0x132d2b5c, 0x4850cf3e,
+    0x6629c74a, 0x7e0275e3, 0x4cb56c5a, 0x81ef5813, 0xfec22d77, 0x935a72a4, 0x70e265f8, 0x23133bf8,
+    0xd499069b, 0x1d42410a, 0x0fe5b9d5, 0xe655b8dc, 0x3e47153e, 0x17e50d43, 0x6b19c89e, 0x677264cc,
+    0x31f9ee8a, 0xbde4aa46, 0xb6cf95de, 0xd5d02efa, 0x3cd5b840, 0xbf505907, 0x104fe9dd, 0x6cb63c89,
+    0xdac905e5, 0xdf4f8a6e, 0xa1edd535, 0x8ca733b0, 0x8ea2c8f6, 0x3e85e814, 0x96c0e224, 0xf9596410,
+    0x1cf7c105, 0xbe3c52e8, 0xaf35e8ed, 0x2a7315df, 0x697c82fd, 0x7dd87eaf, 0x6c7f0f33, 0x336a8f03,
+    0xc2b9e189, 0xc09d5f55, 0x0f608591, 0xf06b5f4e, 0xd15f6763, 0x93a517f9, 0xf9a8558c, 0x0f635454,
+    0x94977e39, 0xe95ae016, 0x44c80fd9, 0xaee5eab3, 0x93e17c55, 0x4f144d56, 0xb75ebe24, 0xbb44bf5a,
+    0x6eecd6df, 0x7cc9aba2, 0xec8541eb, 0x59dafa32, 0x1d3ac89a, 0x85f29e35, 0x4428a435, 0x3949b3cf,
+    0x50e5d268, 0xaaaca7f3, 0x1d7e7736, 0x2db9423d, 0xa4791f45, 0xa0ed4f39, 0xacb7dea0, 0xa649c025,
+    0xc82b62f5, 0xff71d481, 0xfd692a7c, 0xa0f3f687, 0xf111dbac, 0x9b5e6cfa, 0x251e8b16, 0x187a1998,
+    0x42a4ab28, 0xe0e12cdc, 0xca23a225, 0xbd75367f, 0x2e54b6d5, 0x6c88a045, 0x3d4b283e, 0x14e6940b,
+    0x22e10ea7, 0xeee72b48, 0xbc49fcc0, 0x81b946ec, 0x3c29c35c, 0x82ae1389, 0xe57ebe33, 0x54073f2b,
+    0x44d72c1f, 0xf247498b, 0x723a9e8b, 0xba085185, 0xbce8613d, 0x983821d0, 0x5c2adc92, 0xc8749be2,
+    0xde90998c, 0xa63b72a5, 0x8aafe087, 0x243573f9, 0x16744ec7, 0xe7e9f1dc, 0xd996e9a5, 0x444c2a4d,
+    0xe18d2a14, 0xadd14d27, 0xfd32de67, 0xacae010e, 0x8b471119, 0xb81aa798, 0xd0c6bc2c, 0x26fcb99b,
+    0xe9e55aa2, 0xeb35e413, 0x79c63697, 0x4d236d1b, 0x9fa1d761, 0x667f4a80, 0x73c65828, 0x2460606d,
+    0x37077cde, 0xa80ae261, 0xd94aa0d7, 0xdcf0db85, 0x4f0d6d9b, 0x2aed88e7, 0xa6448926, 0xdb78a1a6,
+    0xf4f8ed68, 0xc15c5f5e, 0xa19ab90b, 0x89e50e09, 0x48b11116, 0x922075e5, 0x37115784, 0x1a43e82f,
+    0xaf014387, 0xf4e538b8, 0x9f040f3e, 0xb4316e3a, 0xc5c78bfc, 0x5b823d7f, 0x81f0001f, 0x969ef541,
+    0x33df6ce8, 0xc9a12721, 0xac7f25ea, 0x72c7ea05, 0xe981c890, 0x5b7d6148, 0xf244bd66, 0x64edb0cb,
+    0xa1226129, 0x5ca9b645, 0x146d65f9, 0xc2325bd1, 0x194ecf1a, 0x6acd0b87, 0x710329e1, 0x8ce60332,
+    0xb9a9a655, 0xb9655b86, 0xe7d56430, 0x89d8edb0, 0x222cbeab, 0x9ea6e7cd, 0xd458ad3b, 0xa869c458,
+    0x56b61c46, 0x3ed82b9d, 0x401a2a14, 0xf15d4295, 0xe33f4bca, 0x290a7fdf, 0x97180c18, 0x943dfb4e,
+    0x7ef3bdf9, 0x2982ae0c, 0x4d63a8a9, 0x3291c923, 0x1e9aac8f, 0x0ead5cc8, 0xd9c76b58, 0x70fbcc8a,
+    0x5b87efbd, 0x316be450, 0xbdef8939, 0x394c80a1, 0xa21a8de1, 0xf864199a, 0xf54277bb, 0x51b36b1e,
+    0x5c14c5da, 0x5cfe2033, 0xe5da67c0, 0xb8107ac7, 0xc3d3a1f3, 0xb71a5846, 0x1aea1375, 0xe4edbbad,
+    0x2246c44b, 0xf5c7bfa7, 0xe0339c28, 0xae51f86c, 0xaf60ff5f, 0x426f69b4, 0xcbe85ebd, 0xd37b9304,
+    0x5288a32a, 0xa18a1c25, 0xd722af4c, 0x7fe0590c, 0xcf077254, 0x01317f43, 0xb487c6a4, 0x4defa17f,
+    0x77643d64, 0x57633d3c, 0x18b33eb9, 0x855204fd, 0x17d04275, 0x8417cd99, 0xa9f94f23, 0x152cf500,
+    0xd0d54805, 0xd25bf5b7, 0x640f6d7c, 0xc083b196, 0x30a119b7, 0x7b1dc578, 0xef7cec81, 0x3e175f3c,
+    0x08c3c906, 0xb1d07ed6, 0x12e1c0b0, 0xddfd5589, 0xa75b9f4b, 0xf5e48c27, 0x7332a9ab, 0x100edd65,
+    0xc58d6bbd, 0xa296f183, 0x12e5923e, 0xe9b95c28, 0xe0a10063, 0xebf23bf0, 0x5bee0bef, 0x1c8335b3,
+    0xcdceb6b0, 0xd7c7fb09, 0x9aa9419e, 0xc2af7f34, 0x7ff0a265, 0xf2fdf158, 0xee2c3590, 0x61aecb97,
+    0xa1006c5d, 0x1e4b6cec, 0xc23083e0, 0xb2ff28f8, 0x660ef4b1, 0x5a181f8b, 0x23cd5441, 0xdeb88f5d,
+    0x9f57dc27, 0xb0b72ef1, 0x431791ab, 0xf5fe7bbc, 0x40768ab7, 0x396a96d0, 0xad3b4487, 0x3393af38,
+    0x331ecd0d, 0xa83e8274, 0xbaf6cd3c, 0x596c3b38, 0x4717b6be, 0x454b1285, 0x100c9879, 0xe4228742,
+    0x05b8d7c8, 0x27fa8aba, 0x61dd4126, 0x5a574067, 0x4d91ffc2, 0x0a8f8ebe, 0x1c988c91, 0xf7d4d2af,
+    0xa89bcdd8, 0xcf054a58, 0xf5a05785, 0xe85bae1b, 0x393ee310, 0xe737bee8, 0x08e23419, 0x3d84be8d,
+    0x886473cf, 0xfb09a7dc, 0xc5bc20ac, 0x5a8ef23f, 0xadcd885a, 0x6fa96e08, 0x330a0675, 0x45527d0b,
+    0xf96b3962, 0x5598dd67, 0x9f905b4f, 0xee48957a, 0x5d9eea85, 0x90f2ef37, 0xeceafede, 0x533ae126,
+    0x62804734, 0xd20b662c, 0xfc2a0248, 0x1da7a8dc, 0x73f9dcde, 0xee7df5ab, 0xa08f310c, 0x07ba6609,
+    0xd114343b, 0x4f09fa11, 0xbe728fcd, 0x7deb7820, 0xd0aacedd, 0x136fccfc, 0x4281dbe5, 0xa7e8181a,
+    0xa9bd35c1, 0xbf0f77a1, 0x4b6f56e2, 0x742a109c, 0x2da3585e, 0xb1ecf501, 0x0868119e, 0x878af465,
+    0x67c972bd, 0xf2e0de3f, 0x30334bb3, 0x36313856, 0x7d646f79, 0x512f3814, 0x7e9c0953, 0xa65113c3,
+    0x12734bb9, 0xaffbad23, 0xda563678, 0x6de6d944, 0xf3539f37, 0x564eeedc, 0x61ec9db6, 0xa0a89544,
+    0xf61701ec, 0xd797c517, 0x66dd5316, 0xda73bd30, 0xe35123b5, 0xe1157f03, 0xcfa019a8, 0xb9ec8e2b,
+    0x2c24c536, 0x5f61abe9, 0xd9e782b9, 0xca473fdd, 0x37968e0a, 0x61d8ed7e, 0xa8593200, 0x8a2319e0,
+    0x097bb524, 0x56964ae0, 0xeb5c5e5d, 0xb2331499, 0xff43547a, 0xff3723de, 0x5b828bd2, 0x7011d112,
+    0x1baa241b, 0xf331c1e9, 0x020557f9, 0xcfdba077, 0x04dc1fd2, 0x5b1995ea, 0xef7aceb7, 0xee5d0557,
+    0x5d452a1d, 0xd4856184, 0x88c975e0, 0xc3c93f95, 0x1ae93c03, 0x90838882, 0x69429bd9, 0x092c5286,
+    0x8c491560, 0x3714a58a, 0xd9b16c32, 0x1d097787, 0x7ee5a65c, 0xd79e1505, 0x6f247c23, 0xa3ac6eb9,
+    0x511ef292, 0xc32bb446, 0x5f419f5f, 0x22d14a74, 0xdd1d77d1, 0xed9c9cdd, 0x7594b4f4, 0x373109c9,
+    0x5d0daca6, 0x5379eb4b, 0x6136dd44, 0xb2dc218c, 0x2cc8f2f9, 0xd9104615, 0x6099c66b, 0x063a0799,
+    0x4c5e10b0, 0x39f53f42, 0xb5291dc2, 0xf9c0a825, 0x719dd233, 0x02219fe7, 0xdadd474c, 0xc5a97ce3,
+    0xf4323e32, 0x946c6084, 0xfb3fcbc1, 0xbc377fcf, 0x43540ed4, 0xcf2e408f, 0x5e142bc4, 0xcf3c30c3,
+    0xa91453ef, 0x192f8478, 0x29b139dc, 0xbee84d37, 0x9a78607d, 0x73042ad5, 0x954cd681, 0x9dc0762d,
+    0xcbc5fb5f, 0x05842ac1, 0x9d73c3fe, 0xc131c182, 0x0fba0d5b, 0x68646955, 0xe45b9545, 0x559dffa7,
+    0xe26ff5bc, 0x0dd21e77, 0xc230bf9a, 0x6f9033de, 0x353188f5, 0x5fe7b611, 0xdc192a58, 0x10f70f51,
+    0x79598993, 0x10d19aac, 0x7863e43b, 0xb238337e, 0xfedf0492, 0x084f3635, 0x789dafb7, 0x6b489f72,
+    0x5121426b, 0x5f865c5d, 0xddc7ab9a, 0x8429f9bc, 0x08d6f313, 0xbf1103d9, 0xd8c94769, 0x2004377c,
+    0x6b8aa6a8, 0x29b69f92, 0xf22428c4, 0xe369137f, 0x08ba4932, 0x16f7fe45, 0xa42c2de1, 0x189f12b2,
+    0x5ade7d13, 0xc5ecbad9, 0x8cb460a0, 0xbef19b52, 0x42400e4d, 0xd78f8fb2, 0x940a4be4, 0xd153b5aa,
+    0xc51e36e9, 0xe1ebad5e, 0x199fcd8d, 0x634b0cc9, 0xa73b048c, 0xded462fe, 0x68e3fe46, 0xb341fb54,
+    0xa808d142, 0x3ab251f4, 0x7ba05877, 0x090878a0, 0x66c6d428, 0x4cfc5eaf, 0xb3127cbb, 0x1a30781c,
+    0xc3e1ccdb, 0xa9a98ece, 0x34495c4d, 0x546245aa, 0x1a08497d, 0xc825454e, 0xd9c6336e, 0x0c179c3f,
+    0x308f6c54, 0xa0c7ced4, 0x3abbece3, 0x9aad6124, 0xc82d21a9, 0x48c7781b, 0xbb6e3306, 0x688c4fe3,
+    0x20d274eb, 0x27d6cca8, 0xe549c861, 0x53d5c690, 0x150f32f9, 0xd57d6a38, 0x54ffeca7, 0x9d0ea895,
+    0x2528ee87, 0x8f226ece, 0xcaab44cb, 0xe52fe090, 0x941acc47, 0xcf95cc1c, 0x3a50155d, 0x27c72068,
+    0x0fbb373f, 0xc55ce7d2, 0x24ac9b0c, 0x1955392d, 0x07c5248c, 0x430658b3, 0x00c9e84f, 0x3545fce4,
+    0x56f3bcfd, 0xc55a4220, 0x2d1be372, 0x01c4f357, 0x0303be5c, 0xfbd1c5d2, 0xbb5bc7b2, 0x15436486,
+    0x96e560e8, 0xd75855d1, 0x3a5405d1, 0x437d5302, 0xf26ce6bf, 0x6c1b1b51, 0x4ab04661, 0x495e0087,
+    0x54564e21, 0xefeb4c3f, 0x8210bb13, 0xbe4ddf39, 0xd3e465c2, 0x2d795834, 0xc3fc2aaf, 0xa0a47da7,
+    0x31c12ecc, 0x359df629, 0x0532ce68, 0x9d32ad05, 0x54a9e520, 0x238cb347, 0xe8d22e00, 0x60e4d6ee,
+    0xa4b57fe9, 0xae38bd7b, 0x5ccaafc3, 0x2139e001, 0xbfbfd604, 0xc0c7988d, 0xc94668a1, 0x7dd1a464,
+    0x288087c0, 0x73369581, 0x93826e9b, 0x363a004a, 0x72568c17, 0xf674552d, 0x23b5ed63, 0x873b42a6,
+    0xdf325675, 0x43d9b303, 0xeaac6345, 0xc1e8cff5, 0x85db5f22, 0x08c95b13, 0xfa4e2fe8, 0x819be82d,
+    0xc1ca59fc, 0x9432b3ca, 0xca72c3bc, 0x5070e7b0, 0x111d6b76, 0xbf306704, 0x9c3fc20b, 0x91beedc7,
+    0x82d2c4cd, 0xb902a0d9, 0xc5039ac7, 0x0120b1c6, 0x1f152f32, 0x0237637d, 0x8ad48caa, 0x98460a2f,
+    0x45dd35b3, 0x2824526d, 0x2f605704, 0xd0ee8377, 0x54c65b4a, 0x2b032fb4, 0x3455357c, 0x201d364f,
+    0xa5447aa5, 0xd28d132b, 0xd93c1528, 0x9eba8cb3, 0xca1711d2, 0x5b3e8216, 0x4340fea3, 0xb889a06c,
+    0x26e2120f, 0xd9f32cfc, 0x4487e399, 0x53c46db0, 0xa2361f1d, 0x70ab4307, 0xa08741ea, 0x871d06bb,
+    0xa64912b8, 0x0e8603f5, 0xe1f4312d, 0x6dc4a9fb, 0xae2d97e1, 0xdd71d56f, 0x3b97a1bd, 0xa7e654eb,
+    0x5f885e7f, 0x706f00fa, 0x924cac86, 0xd2831ac8, 0x9855425a, 0x72e0c047, 0x90cd7cb3, 0x245e0ad6,
+    0xed84f6b8, 0x26053233, 0x502b58cd, 0xce2e215b, 0xf34a7a18, 0x0f743d60, 0xf6878491, 0x1d5f9f4d,
+    0x653ef26b, 0x793a20c6, 0x34207fc0, 0x9252672b, 0x35075ee4, 0x00478ec4, 0x047088de, 0x3fa7915f,
+    0xc06e6822, 0xb3fd931b, 0x772c713b, 0xe6a52e25, 0x78fd3da4, 0xfbf836f9, 0x2c238aea, 0x85e8f770,
+    0x48070672, 0x69ab8e0f, 0x69ddf379, 0xbb9af837, 0x2508e8ba, 0x0ccb33c6, 0x0e878453, 0xfb6e1274,
+    0x2ac22323, 0x7a110ea5, 0xda3ca830, 0x4269feea, 0x5fbf03df, 0x55e2deeb, 0xca5377af, 0x5ee62d95,
+    0xfb76a1b0, 0x617fddfa, 0x4f202595, 0x12b2bdd7, 0xfb4aa7ea, 0xc5cd0f24, 0xaf477b1b, 0x4f53a8b7,
+    0x2ce7a841, 0x484404f2, 0xb82d606e, 0xc2c5a6a7, 0x2af758bb, 0x5967b874, 0x636c0ad5, 0x7d705232,
+    0xfce0aee2, 0xf45c1829, 0xbd308e41, 0xb3f48388, 0xaec0f173, 0xf3b0a601, 0x0196e346, 0x468a5653,
+    0x13c820b7, 0xc71e3c06, 0xff77350a, 0x382c535a, 0x9905eb73, 0x083a9b0f, 0x182621ae, 0x7be20cba,
+    0x246984b4, 0x1d63af89, 0x28fcdf16, 0x62aec37b, 0x6611e64c, 0xe47103e5, 0xdad9159b, 0xd21b2b7e,
+    0xc7f19bb1, 0x32c9e632, 0xa35bea8d, 0x587170b5, 0x7a4c4d67, 0xd8ff4eaa, 0x47dabff7, 0x8205e1a0,
+    0xb5495b97, 0x74571adf, 0x28ded8d4, 0xde47ab28, 0xded79905, 0xeab86d63, 0xd8160d83, 0xba2bc5e7,
+    0x6ec2ca49, 0x7c45df36, 0xb8ecf4b6, 0xcaf2f228, 0x74521e32, 0x9f019bb5, 0x1809b680, 0x66f3ec87,
+    0xaadf8fe0, 0xcc3a29a3, 0x8329a5cb, 0x73891aa0, 0x96eb2ee7, 0x88190249, 0xe7cf08bd, 0x93f7b33b,
+    0xbeaa60ce, 0xbfec768d, 0x381727e5, 0x5da1a51c, 0x01ea2259, 0xb7c7d159, 0x38edf9fe, 0x9de892a2,
+    0x93e17e0f, 0xb5dbaf22, 0x62f080e0, 0x202bf61e, 0xbce076d6, 0xbff7815e, 0xcd810df5, 0xdce56b4c,
+    0x2376d79f, 0xaf1e8e59, 0x8511f59d, 0xdf345d34, 0x717a643f, 0x48188c77, 0x145c0244, 0x49d783f9,
+    0x012065fe, 0x31854f97, 0x6f2a43f5, 0x5ef4ae79, 0x052d5293, 0xb7b777ed, 0x23c77d29, 0x92fa4215,
+    0x1b20a791, 0xcb10a69f, 0xae90166f, 0xb8aa8aba, 0x663c2d3b, 0xe9f97bff, 0xbbdd93b3, 0x237971f2,
+    0x6301422e, 0x4b41df1c, 0x252be31e, 0xd413107c, 0xbf6c5d29, 0x85ecc911, 0xcd6f20f5, 0x722789b2,
+    0x9b97f600, 0x65308df4, 0x432e4d44, 0x0e98bedb, 0x148c4aae, 0x78ebcc40, 0x76b80cf6, 0x26ac3dc1,
+    0xaeb1f5cc, 0x9633ba1f, 0x33a2fd48, 0xd295829e, 0x5af0ed5b, 0x047ae92a, 0x395488d2, 0x352aa256,
+    0xe1a6d72b, 0xc4841b48, 0x1263304b, 0x130fbb32, 0xd80b2362, 0x5f0fb0a6, 0x607f1f1c, 0xa420d574,
+    0x43f488da, 0xcb4f1b37, 0x6d59a18f, 0x3dca7768, 0xe2e217ac, 0x7315a24a, 0x869971f0, 0x9ce8fa15,
+    0x295ec24e, 0x690a7de4, 0x60db8843, 0x649eabe8, 0xf05badb7, 0xbbb9bc89, 0xf20689e8, 0x2c811874,
+    0xf785fce5, 0x71a54d29, 0xcbc0eede, 0x44517feb, 0xac7da49e, 0x45ee2cbf, 0x7bfbcf5b, 0x547c6066,
+    0x6a5d6ac0, 0x4deda306, 0xd0dfd784, 0x57d1d659, 0xf3fbb54f, 0xd2fe4d7b, 0x874acb7d, 0x0247f909,
+    0x9ed3f11e, 0x756a04e6, 0x52d8b583, 0xebd49407, 0x192aab39, 0x20a4923d, 0x342c1668, 0x35df07a1,
+    0x395abe71, 0x0ecab0e7, 0x4e5d0454, 0x6a23e2f1, 0x62afdf15, 0x92b45979, 0x4e1af065, 0x51713b0b,
+    0x47c2151b, 0xc0222502, 0x92da02d1, 0x963fe766, 0xf474cded, 0x71802103, 0x52c1e031, 0x11f11817,
+    0x6a0a617b, 0xe8b33db5, 0x47ef410e, 0x6a8ceb27, 0xf4af9944, 0x4ea67f5d, 0x722122c0, 0x208a5304,
+    0xce0148d5, 0xfdeecfd7, 0xa95b847d, 0xf6509a7c, 0xba59cd0c, 0xf060e9d5, 0xeea9dca2, 0x57577ada,
+    0x70195294, 0xb780f260, 0xb3cd26bf, 0x86447102, 0x3564f3c6, 0x6b603fc2, 0x01b46afa, 0x5e47e4ed,
+    0xeb646434, 0xe1ee40c7, 0xdf6d49ed, 0xdc1fb052, 0xefdcba15, 0xc10bd6ca, 0x4f986b08, 0x0bf6bc34,
+    0xb7e554d7, 0x7796e22a, 0x3b2133c6, 0x94ac5a11, 0x0adc4a15, 0xb8ddde67, 0x7cbb01d4, 0xd4f5141c,
+    0x9191e627, 0xdf3a8042, 0x7b2c6c90, 0xe116e027, 0x025c902f, 0x7f2d769b, 0x7268b32c, 0x9358b608,
+    0x00000000,
+    0x01597294, 0x850d7b92, 0xd8eb42f5, 0x8f892faa, 0xa77547ce, 0x419943f7, 0x20b9e167, 0xa46dab20,
+    0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000454274202684754306593327379930002833971025850429573787675\
+                         93137448789955507087370207886940669610222847547657600391636120845912601788416 */
+  { 0x00000000,
+    0xd7002d14, 0xaafe65ff, 0x88e17e68, 0xbef1473c, 0xd76adee2, 0x16bb53c9, 0xefaca7ce, 0x3fa88e75,
+    0x842a5f8e, 0x7ea6b491, 0xc93507d3, 0x8261090e, 0xb6a54527, 0xded7da73, 0x6e0d6352, 0xbb8bb279,
+    0xfee88d67, 0xbcbde644, 0xfe4b3086, 0x7c1f971c, 0x0458a75c, 0x06af9b7a, 0x4c34e95d, 0xf6866770,
+    0xe5df4606, 0x0c76c42d, 0xc0088f0d, 0x2ecbbbd2, 0xafbf1bdd, 0xcce648e0, 0xcac16f41, 0x0540bf4c,
+    0x1468787b, 0x47dee89e, 0xe6964eb0, 0x45039e78, 0xef361f17, 0x1891b718, 0x0115f1be, 0x4b1924d6,
+    0x8452fa8e, 0x6a2b20f8, 0xaf18dd3b, 0xfc011616, 0x19381684, 0xc6d9172a, 0x6ed67a9a, 0x3503ef17,
+    0x69ca7fb6, 0xe6541e8b, 0x499b4efa, 0xb476021a, 0x64e59185, 0xd3ab2cdf, 0x1b2e6c92, 0x9c0da890,
+    0xd6869992, 0x28171f14, 0x90359a48, 0x5c86cce0, 0xc272e7db, 0x4964e4fe, 0x6f3bc93c, 0x9c0ef011,
+    0x93002b9a, 0x80b9cad2, 0x33c58e55, 0xfec8b2f2, 0xbf8edc4b, 0x89c180ee, 0x2334d960, 0x4f5edae5,
+    0x4c8ab1b4, 0x392577bd, 0x50158715, 0x2c1e2672, 0x80c44541, 0xd3b3dba1, 0xd64cbb1d, 0xfc5c85ba,
+    0x777505ee, 0x36449106, 0x85870d90, 0xe1747328, 0x9bbcef39, 0x30c75b1f, 0x04080bd8, 0x3397edec,
+    0x4b8738e4, 0x19baa1fd, 0x7648eedf, 0xd6747a00, 0x2acf55cb, 0x4c6096ae, 0xf915c060, 0xfe32f234,
+    0x9540f70b, 0x5aadde89, 0x751b927e, 0x0ebcd86a, 0x02149dc5, 0x567d6166, 0xd48621f6, 0xb5745253,
+    0xe0c1d48b, 0xd220359c, 0xd4ce0d2e, 0x9c045e85, 0xe4f441f0, 0x0d2fa2f0, 0xbe62c7ee, 0x1707c58d,
+    0x466b5d92, 0xc3ebf59c, 0x6425ad05, 0xb5f3f941, 0x9331aeb7, 0x89ee2fd6, 0xc70bc7f1, 0x4e35d4b9,
+    0xfab5a8d3, 0x5dee81ec, 0xe7812417, 0x97b6590e, 0x5553732d, 0x1fc8766a, 0xa9f6f074, 0x60c0f04b,
+    0x94ae7c12, 0x027922c4, 0x227e1034, 0x6eed7925, 0x9a027296, 0x61e19a9a, 0xc5cc2238, 0x2dc1844b,
+    0x4e269d04, 0xf4a23de7, 0x56ee5893, 0xb24d3dc6, 0x383579f1, 0xdf5f9c56, 0xc30e47f7, 0x59687406,
+    0xaa9013eb, 0xd9ba614c, 0xf9fcbb80, 0xa65cfd3a, 0x007dfb09, 0x2cc9b4ad, 0x8b16dfb9, 0x627ea397,
+    0x16813938, 0x46ff58cf, 0x249bd401, 0x74a7c8ba, 0x8638d5df, 0xd03a4a03, 0x1205c9d7, 0x3bdb43a9,
+    0xe7c88bd2, 0x14a7e04c, 0x57745048, 0xdbb41b6b, 0xdf3516db, 0x4e61493e, 0x2b3a9029, 0xbc47e409,
+    0xbae79abd, 0xced27ddc, 0x50535f03, 0x54be146a, 0x8104f3c0, 0x35bced9b, 0x8fd21564, 0x8f5382e4,
+    0x99bf3151, 0xbd7b438f, 0x2868a177, 0xa21edf82, 0x5da945b7, 0x48345c39, 0xc28cee59, 0x72139473,
+    0x943ba639, 0x1b642b54, 0x39903c45, 0x98803fed, 0x3d876bbb, 0x17f5a53e, 0x749f723a, 0x14bf3450,
+    0xedb45ec5, 0x44996b7b, 0x18679b2d, 0x6ad1ff2d, 0xb604a4a1, 0x2307ffe7, 0xb94405f2, 0x65ec6d24,
+    0xe143a2ee, 0xc2e2667b, 0xdb070076, 0x45bf0106, 0xf53339dc, 0xc2e0d610, 0x80fbb4a5, 0xcde17340,
+    0x4a31b6bb, 0xc662b8c4, 0xdf1ef638, 0xe3da81ab, 0x1c5e941f, 0x67b20506, 0x24d1ffe2, 0x38d92e0f,
+    0xe0a99402, 0x59b9b7b4, 0xe11d7607, 0x3ec91674, 0xbb226c6a, 0x9766f733, 0x8b4ccd40, 0x847066a7,
+    0xc9c6a7ff, 0x68378cac, 0x9afd88ac, 0x3f51c710, 0x07d6bbec, 0xe50121c4, 0x161f0fdb, 0x70b2625d,
+    0x606686de, 0x1cc7228e, 0xa86247e8, 0xac16e4da, 0x868c59f7, 0x574d6706, 0x0adb92d5, 0x3aa6bc4d,
+    0x771cf6ee, 0xf3ba3fb6, 0x76f826c9, 0xf071eee0, 0x7c0671a6, 0xfb0ae16b, 0x6267af17, 0x7e05716a,
+    0x15ed971f, 0x08c5d022, 0x3fda16ee, 0x380cc321, 0xf085ea0d, 0x8b8e2b07, 0x7094983d, 0x21c90015,
+    0xf0699cf0, 0x6e5375ab, 0xfcc1fe5b, 0xb9c572fe, 0x7317eb2c, 0xf8909adc, 0x4fb07e74, 0xd693e6ee,
+    0x8ad35e65, 0x41d8f3d2, 0xcb9b7f0d, 0x9b9ad6ae, 0x86637170, 0x09407566, 0x1582abf1, 0xd0f4f95c,
+    0xe3b8f0eb, 0x6a72adfa, 0x487158a5, 0x9beb92b0, 0x043dc3c3, 0x13912d33, 0x3663d6cf, 0x12b8faf5,
+    0x4501ee83, 0x6b53c9cf, 0x44781e19, 0x137fdd11, 0xe2387b55, 0xc39033ed, 0xaa07bd74, 0x19ed1d46,
+    0xda201e93, 0xfea2dfd8, 0x4093a364, 0x2ee40f9e, 0xa3108b8d, 0x967970ca, 0x757aa17e, 0xb42a3f07,
+    0x7cdcfe4a, 0xa20cec7b, 0xe7671420, 0xae1fc6a5, 0x25d0c3cc, 0x20506665, 0xbcefe7c8, 0xf59f738c,
+    0x77ea242c, 0x8d6d6cb6, 0x6e9d3bb6, 0x2fa7fb96, 0xd7e304d3, 0xf3f2b04c, 0xc97307a9, 0x5a88d8a7,
+    0x48fb1333, 0x5221c6a9, 0x98dbec04, 0xd9288e26, 0xe2c79d7e, 0x9ff7b199, 0x7de33e37, 0x620852d2,
+    0xd128ea84, 0x7cc263e0, 0xb3a4ca72, 0x17a41185, 0x0f25c503, 0x5b837bf2, 0xcc74eaca, 0x3cbf38d0,
+    0x6c42516e, 0x2854648c, 0x51c85f40, 0x80833e3b, 0xb442335b, 0x29336d85, 0x1572056c, 0xfa380efc,
+    0x04433a95, 0x42e912d2, 0xa1264935, 0xfc566157, 0xef1a185f, 0x6ee278ee, 0xa302da42, 0xe691940f,
+    0x685d870a, 0x1585dc39, 0xd5b447ce, 0xdf909b2c, 0x213db990, 0xf75d9b4c, 0x3a11769a, 0x604ff467,
+    0x00ee2e00, 0x618428a1, 0x3bbf8951, 0xe34d02b9, 0x0d9ba8bf, 0xca0c33f6, 0x9d878bfc, 0xde9886be,
+    0xc47f6306, 0x550520a2, 0x518395ac, 0x486b31e5, 0xb7a31b7f, 0x28db522d, 0x747b781c, 0x07b38722,
+    0xb3a13c2b, 0xa86d7aed, 0x9a8447a0, 0x94dc336d, 0x5159dcc8, 0x3a278bcf, 0xe49e9770, 0x5d1cd2eb,
+    0x4962c2ca, 0x50449ec2, 0x2de74e08, 0xc88a5aab, 0x48679873, 0x1936b0bb, 0x246e68dd, 0xdd2c8fa9,
+    0x2d3b2b9a, 0xc9ae2121, 0xbb8760cb, 0x68c02e9e, 0x11a0788d, 0x766ab47e, 0xa9689a97, 0x98694202,
+    0x7f6c37e6, 0xcdabcd12, 0x1689917e, 0xbddfa307, 0xa7111442, 0x761ba789, 0x2ff9b1b9, 0x2710ff8a,
+    0xfe0bd134, 0xc065c2de, 0xff0d8b3d, 0x3b345f64, 0x9d3171c8, 0x3e1a9897, 0x9f2df013, 0x5ba8d0df,
+    0x09b3c13a, 0xcea702ee, 0xcea7d8da, 0x5615f720, 0x3962ed46, 0x7c2cd360, 0x40a68e39, 0xa328c021,
+    0xf3b5764e, 0x67f27af7, 0x73dab7b8, 0xd4dafccd, 0x9c01b950, 0x70407e5e, 0x765fd45c, 0xe9c48ebe,
+    0xb5352ce9, 0x4bcfd8e6, 0xda07d0e5, 0xdebade6d, 0xd1222472, 0xa37be060, 0x612916ad, 0x3337a296,
+    0xcb35605c, 0x193f6729, 0xa63affe4, 0x44521ace, 0x99796b18, 0xbf10b9fe, 0x53c362ed, 0x6d518393,
+    0xdb464a9d, 0xeeebf775, 0x60c1db63, 0x509f2db8, 0xa91efc55, 0x881f4148, 0xc388f9ac, 0xddc26121,
+    0x076aede6, 0xa83e01e5, 0x78a07aff, 0x1611661f, 0xd4efb259, 0x49b3d5f7, 0xd178193a, 0x8fe94b56,
+    0xdde29c9a, 0x2bec7197, 0x2ab2a3f1, 0xff97af3b, 0x113c85cb, 0x63124557, 0x58328318, 0x547a35ca,
+    0xb4128382, 0x3177985f, 0x0a0f7942, 0x8b8439a7, 0x2f687c21, 0x3dc1a3d7, 0x71694f7d, 0xb71f9324,
+    0xfa6beb1b, 0x09ca17ee, 0x9c7cb48e, 0x6d359036, 0x80454762, 0x08f5c211, 0x16b21689, 0x550b15fb,
+    0xafb52651, 0x78445414, 0x76e8d210, 0x7b262ba2, 0xab58bde8, 0x52704bba, 0x34dd2747, 0x447e61b5,
+    0x1ae2f172, 0x2e172f26, 0x291719c5, 0xfb01bb4c, 0x441c5d73, 0x56fcfc48, 0x472dfd27, 0x0b834464,
+    0x17ef60a2, 0x994be70a, 0x53e421ae, 0x0ef739c9, 0xc8b6c87b, 0x73960087, 0x5cf3d952, 0xbc2bb87e,
+    0x65b8cf79, 0xbc3557a5, 0x52927cc4, 0x83232fad, 0x1ad17a67, 0x8ef2e827, 0x4d1338ff, 0x1cecec6a,
+    0xe951234d, 0x86557028, 0x8ce95aa5, 0x357da004, 0x3dccd124, 0x6bb1a7ba, 0xa438f550, 0x485a73fa,
+    0x1d85d866, 0x4ea35673, 0x7950697a, 0x5903cb6b, 0xfae41ed9, 0xd7edc650, 0x96e4d4a4, 0xc4ce3f8c,
+    0x1e27f159, 0x94984a48, 0xf340c53f, 0xf9c424e0, 0x82b475af, 0xdd845d39, 0xadf4213a, 0x83a89fe3,
+    0x8d6e7bf8, 0xc53f7a98, 0x529e7b70, 0x31430be7, 0x6ba093bc, 0x92ef6396, 0x292d993c, 0x8c4cd05a,
+    0x59a23522, 0xe522c952, 0x286ef7d5, 0xb18831a5, 0x238a87c1, 0xf0a18268, 0xf66c27d1, 0xc0965ab9,
+    0x77a4fae6, 0x9ecab8c0, 0xb9f5d2cf, 0xe3b7d64c, 0x7ae96d50, 0x247ebbac, 0xecbcb45a, 0x7de7600d,
+    0xf1d9081d, 0x664fddac, 0x8ee9b5d8, 0xc6da8a4b, 0x90a5fc5c, 0xd8d02020, 0xc6e29388, 0xf97bd452,
+    0xc6b80804, 0x55280f34, 0xc8efcde6, 0x88620ee4, 0x0ba93344, 0x22541c31, 0xa2ddb8a6, 0x46919fff,
+    0xe8e9e870, 0xfb5978b8, 0xb294fd79, 0x6ea4eb00, 0xd6c19d53, 0xf16521c7, 0x8693157f, 0x6e55130e,
+    0xd4e341cb, 0xf78810d0, 0x1359d3b5, 0xd60c017c, 0x3be84534, 0xe95714ff, 0xaf54271d, 0x487f8ca1,
+    0xcbbd458d, 0x335e680b, 0x15dfd9da, 0x23bdf705, 0xf4ae0fbc, 0x81a12fe1, 0xb20820ec, 0xe7bddcbf,
+    0x664a963a, 0xa66e75d1, 0x4aeff878, 0x057999e1, 0x319441c9, 0x15a97520, 0x37ee966b, 0x8eadc4ac,
+    0xb600e170, 0x578ae8f1, 0x768c7244, 0x7d8bba81, 0xaa69dd6c, 0xe260fe1d, 0x60b524f3, 0x7e07a0e4,
+    0xed786cc7, 0xa86af065, 0x661e86c4, 0xeba1e68e, 0xf29767e2, 0xaad9930c, 0x71cc0c18, 0xbf1465c3,
+    0x81b5dce0, 0xbbc3194e, 0x51ef815a, 0x643d51db, 0x8e7619c0, 0x91e0c149, 0x5bc4df85, 0x2661de29,
+    0x85286700, 0xd9903f8c, 0x070ab932, 0x986137a3, 0x076f6914, 0x92752611, 0xd6b63a4f, 0x479b8d24,
+    0x887b4160, 0xa1e0bcca, 0x74a7ea4d, 0x23b385fe, 0x8c795f67, 0x02f23fcf, 0x038d96d2, 0x9fa0430f,
+    0x860e072f, 0xba28b07f, 0xc6f1d24b, 0x085ef7a2, 0x3bc7baac, 0x9372d323, 0x84e03637, 0x8067ff31,
+    0x83d3410a, 0x1822e1d2, 0x1d8f02ad, 0x89c7d0f6, 0x6671fd26, 0x968a23c1, 0xf4c0406b, 0xf2652da8,
+    0xd1880084, 0x151361a7, 0x25554beb, 0x173916cb, 0x91bd283a, 0xe3def533, 0xb8a15893, 0xa3627ad2,
+    0x22850d31, 0x1365c1b0, 0x51c2d6a4, 0x87834480, 0x5d193335, 0xb8b50345, 0x78826c8e, 0x8c5b1cf4,
+    0x036aef08, 0xe5fc371f, 0x81efe936, 0x304e18c5, 0xe6a97151, 0xb4c97cda, 0x39b6a022, 0x0b2b11a3,
+    0x95485c23, 0x1d91e5ce, 0x5a5efbfb, 0x8c08b4e5, 0xd5fd3675, 0xac55c8db, 0x56005d2a, 0xb08af110,
+    0xe0703860, 0xc1a773e0, 0x1572f3a6, 0x11ec0d9e, 0x4161024a, 0x250192c7, 0x45c68d5b, 0x8fd17c2c,
+    0x353fa062, 0xaf8bdd89, 0xe89b1b9a, 0x19f95dd8, 0x79339395, 0xd244cc77, 0x3bb252a1, 0x35e1a7ff,
+    0xc4935dd3, 0x1875345c, 0x3540c403, 0xa8e0a780, 0xafde3ae0, 0x0e463423, 0x01d04cdb, 0xc1cb5623,
+    0x2589fccb, 0x290e4682, 0x955c33bc, 0x01fa4e7b, 0x35e9e265, 0x4448f5ab, 0xbcbbc573, 0x69453456,
+    0x0f078504, 0x77e59bc4, 0x11a3646a, 0x243ebf12, 0x2cf8042f, 0xd3e09028, 0x354e3e6c, 0x18531bf4,
+    0x4490f8a8, 0x3e639606, 0x1b3ab0b8, 0xede3e402, 0x10b37588, 0xf3856649, 0x599de62d, 0x20c13cfb,
+    0x5f82707b, 0xe46635de, 0x8e18f903, 0x50a0dffb, 0x90d844ae, 0x1a702598, 0x2de6b48e, 0x6708f48f,
+    0xef71df53, 0x5e3e712b, 0x709c2d7a, 0x828d2f80, 0x4773ae19, 0x146631e8, 0x1f4b4f04, 0x53f8eadc,
+    0x8e9eff8f, 0xcce710d5, 0x629aa193, 0x3ae514c0, 0x59a91de1, 0x66149615, 0x1b9dbcec, 0xf2b9adb1,
+    0x1bb24fa4, 0x16c295e9, 0x10627e5b, 0x11cd54c0, 0xc6cc7b91, 0x782f4124, 0xaa32244b, 0x2f2f3126,
+    0x71e6c2cd, 0xb42abb70, 0xc1c3336b, 0xd6ff3e95, 0x5658659f, 0x4b064a2a, 0x780225be, 0xc99ee122,
+    0xf9b10e21, 0x7bc65b40, 0x1df126f5, 0xb508b347, 0x1025c587, 0x52493d49, 0xf41be937, 0xf0fd3d65,
+    0xb076f023, 0x725c93eb, 0xf2673a8c, 0xd51d07c9, 0x12a579bd, 0xd4c4dc85, 0x0b7be7f0, 0xa1e82040,
+    0xf393ebd3, 0x4f048df6, 0x1a59bdb6, 0xf61bf8d2, 0x68cfaf45, 0x053d70c8, 0xa6caf4fd, 0x3ff30095,
+    0x7b3d747d, 0x3469eb45, 0xde6e56c3, 0xeb38e2d1, 0xfa59bc29, 0x85fe8f9a, 0xdbde0d87, 0xcbaa4809,
+    0xb12b303d, 0x771703a8, 0x16f1a3a7, 0xf7408b4a, 0xf716c836, 0x8bbaa307, 0x7ce829ca, 0x2225faf0,
+    0x803bfed3, 0x92b0cbe5, 0xf0ea9d3c, 0xcf620343, 0x81ccac8d, 0xb3699bda, 0x7cda1eec, 0x960969bb,
+    0xb3677b5f, 0x574d709c, 0x90baf0ce, 0x9fbb279d, 0x3253ce53, 0x71584e42, 0x5437f922, 0x5bd28afa,
+    0x5ff31f98, 0xae7ef8f7, 0x1c74c72e, 0xcbd1ddda, 0x4396922f, 0xd276aee3, 0x20665d8b, 0x8cecad73,
+    0x8cb293b1, 0xb5bbf458, 0xde4c61d6, 0x12fab799, 0xe2972403, 0xc4bae494, 0xd820d4fd, 0x49ed894d,
+    0x9e787949, 0xa86362f5, 0xcd87ca50, 0xd66b7948, 0xfde46a0f, 0xb0c987ed, 0xaa334904, 0x80fb3b57,
+    0x7938ae0d, 0xa7127e33, 0x848300e3, 0x97de6353, 0x43794a95, 0xd91d4bb3, 0x17077316, 0xe4cee109,
+    0x4ea2af16, 0xbf3842da, 0x7472ece8, 0x928a66af, 0x885bdfb8, 0xc7836264, 0x8ab39302, 0x67f3fa39,
+    0xe27c9398, 0x3d1971f3, 0x35260ee9, 0x475c2a64, 0x73e8bab6, 0x8bbbe3fd, 0xd53c6085, 0xa2fbfeda,
+    0x2dfe7a08, 0xd3132493, 0xd2eb4847, 0x1f390a51, 0xb772de79, 0xc1134112, 0x5fe7ca54, 0xe479232c,
+    0xa0732c7c, 0xf60d7fbc, 0x78be9962, 0x858d8589, 0xba2ef112, 0x089e2117, 0xac3da953, 0x2f3b9675,
+    0x242757d2, 0x23378d6b, 0x131ad13d, 0xef01a74a, 0xaba54aba, 0xc189e77b, 0x0a82358e, 0x9a7ec807,
+    0x8a1187ae, 0x8906341b, 0x479e614b, 0x5dfa3a52, 0x8dce69cc, 0x12d1676b, 0xfeb75cb9, 0x15bfa6a9,
+    0x5808e35a, 0x95c75a5d, 0x190ff81c, 0x42ba583c, 0x21b6646c, 0xb9991e33, 0x8a42035c, 0x88209df0,
+    0x27395148, 0xc4337c27, 0xf51e2135, 0x490b36d3, 0xb902c35f, 0x7154f8b0, 0x54e4976d, 0xab14320f,
+    0xa379cfa4, 0x24ef2ed2, 0x5891283d, 0x3dacbab0, 0xae64bc36, 0xaee3ac9c, 0x86111a73, 0xdbb355fe,
+    0x191228e9, 0xb794b843, 0x63b7b301, 0x1e1df0d4, 0xdbb5fc1b, 0xfe822078, 0xeec77694, 0xce591d1b,
+    0xa8b64306, 0x3d36f5fb, 0xfc62cb63, 0x53a40228, 0x0305d496, 0x22ad2f5e, 0x5fdc02a0, 0x8cfb6e7f,
+    0x66484c78, 0x8af52d91, 0x195a568f, 0x186da9d1, 0xbb1fa263, 0xf9f584a5, 0x7d2c25fe, 0xaded1965,
+    0xac73e5ba, 0xeefa38fb, 0x45e21353, 0x38f18948, 0x298d921f, 0xd9a3ebea, 0x50dbf844, 0x767a26ba,
+    0x2b9d0f66, 0xc2b9f667, 0xecd512d7, 0xdeb1eacf, 0xf360cff7, 0x7e01bb27, 0xdbca4d91, 0x178cad52,
+    0x5817fc01, 0x75712f16, 0x85df33b7, 0xeeb68786, 0xe744b7ab, 0x7e437325, 0xb26208c0, 0x290d9b0c,
+    0x5db0bdfd, 0xaf158959, 0x4068465c, 0x70ca3c43, 0x4c6351cb, 0xb6243a5c, 0xe6a3c36a, 0xb3a9ba3b,
+    0x0758cfcb, 0x8e0be0e4, 0x32772605, 0x51b022d4, 0xff3a2953, 0x950d971b, 0xa8802501, 0xc237dc44,
+    0x00000000,
+    0x00acb949, 0xc286bdc9, 0x6c75a17a, 0x47c497d5, 0xd3baa3e7, 0xa0cca1fb, 0x105cf0b3, 0xd236d590,
+    0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000227137101342377153296663689965001416985512925214786893837\
+                         96568724394977753543685103943470334805111423773828800195818060422956300894208 */
+  { 0x00000000,
+    0x30392e51, 0x8f5bea01, 0x3e143bff, 0x5c92b14c, 0x466acdac, 0x62de6fb1, 0xb09b2986, 0x59d47ba1,
+    0x914584e0, 0x09ed71c6, 0x80116597, 0x2c7dddb5, 0x1eb64f4d, 0xf6d63004, 0x1bb0c33d, 0x680b7e07,
+    0x3f0797dc, 0xbfe059ea, 0xb479821d, 0x9bd09201, 0xe624d198, 0xf0e1f4d9, 0x5866a451, 0xaf4696ee,
+    0x0b5b5dae, 0xb0f520e0, 0x0dda4dc3, 0xff313837, 0x1e134e8b, 0x86688ff0, 0xbd826dcf, 0x4294e666,
+    0x832d751b, 0x99620df4, 0xc4eee96a, 0x61737a8f, 0x94d2ca38, 0x03919678, 0x86ee18c3, 0x9c3dc56f,
+    0xad68fb03, 0x2183ad91, 0xb8c8ba62, 0x8ba7df4e, 0x11db83fd, 0xd689c1d8, 0xfb0b4bd2, 0xd8b861cb,
+    0xc7c0c04e, 0x2ad2d9ab, 0xe64cfe2a, 0xc61c63fe, 0xc6f8c919, 0x90e88f8d, 0xc3e9a5f1, 0x4a4ed2d9,
+    0x7e297615, 0x46115999, 0x0acb999d, 0xc7ac6ac6, 0x21e809f2, 0x2c45d4cb, 0xda9f5724, 0xc87a8b7c,
+    0xc0c88f65, 0x546420bc, 0xe691e2d5, 0xedb3c9f6, 0x648bc224, 0x6d8eeb4e, 0xfcd9a2c6, 0xdca9361f,
+    0xee3f0eb6, 0xfc52b4d0, 0x8ebde334, 0xdb2231ab, 0x0acc692a, 0x57cc1eaa, 0x12a68b09, 0x743530de,
+    0xb0a30d0a, 0xdacd1d0d, 0xb1735efd, 0x23b9d296, 0x09d3ad76, 0x2c91fc1f, 0x800690ac, 0x91c70205,
+    0xa6421412, 0x4a289235, 0x777e7081, 0x484314e1, 0x07e6058e, 0x6a3146a1, 0xb98870a7, 0xd08027a1,
+    0x39cf706c, 0x49baebcc, 0xa7a90d27, 0x41146d93, 0x2b8085c4, 0xe191c97e, 0x906b9dd6, 0x57c486e9,
+    0x8c30ab67, 0x930a999b, 0x15f14530, 0xbd6b8747, 0x92ca58f7, 0x46ca580a, 0xcf55ca03, 0x60db3f57,
+    0x4f5fb7ae, 0xae3cd002, 0xe14ea3da, 0x3a566fc4, 0x46f83e04, 0x836b0d9a, 0xd9422e9c, 0x7f838a1d,
+    0x287f8a1d, 0x1458596e, 0x2fc0766b, 0x50c3b7d3, 0x0adcbe51, 0xb936bfe6, 0x5ea6e08e, 0x77959373,
+    0x1d8052e0, 0x4f181218, 0xa919b2df, 0xabc55e6d, 0xf16327c3, 0xf0d893a8, 0x66fc0398, 0xc7869c6e,
+    0x7a34c239, 0xcd1ceefd, 0x0d0da28b, 0x091a4a8b, 0xca9d96b2, 0x66d2042c, 0x235518a2, 0x72b240fb,
+    0x6fe80dff, 0x74aa4383, 0xee5e8430, 0x8d2b08f2, 0x9fec5a52, 0x432b6267, 0x7c11d715, 0x9a77a5a6,
+    0x20fc983f, 0xeebdbd5e, 0xb4d23988, 0x7a536308, 0xb7ca29d9, 0x899fd5f5, 0x2fd9e777, 0xb015e716,
+    0x627a2ba0, 0xa3185d88, 0xd4a220e8, 0x2f1a5c1e, 0x841ddf8e, 0xc4cc6e85, 0x771d4364, 0x18051b22,
+    0xe16b1fb5, 0x128d4a20, 0x772a1809, 0x0dc57622, 0x6b7d5057, 0x3a933274, 0x6e201d9a, 0x50e7a0ca,
+    0x27fda46d, 0x756709b3, 0xca6a37c7, 0x0bf069e5, 0x9720b42e, 0x2f0e6b30, 0x23a3a8e0, 0xb580644c,
+    0xca40e88e, 0xf9c476d1, 0xd42c9461, 0x5571fbda, 0x6d602da4, 0x9a620e85, 0xf1790e36, 0x8904643d,
+    0xb75eb641, 0x7ace20d0, 0x085a7b89, 0x4d5f4140, 0x8a5f601c, 0x25234a0f, 0x011d7826, 0xf08421d3,
+    0xe2ea82f6, 0xb805d548, 0x7dd273a2, 0x8480c088, 0x3d729d7d, 0x2129d849, 0x3fc276a3, 0x374855a3,
+    0x7455a8e5, 0xbf78bf72, 0xc85ace37, 0xb38e7a4b, 0x33bbecdd, 0x11f6eaf7, 0x2b9f5900, 0x338b6c62,
+    0xd1582711, 0x6a0f2d66, 0x3d1b08c5, 0xccf3886c, 0xb9671753, 0x1ac2e4c4, 0xdcf65f89, 0x6bbcb2ab,
+    0x054ef84d, 0x0266ff10, 0x5fe41a20, 0xb117be47, 0x0993c009, 0x5843aab3, 0x8cb37eea, 0x5bccf68a,
+    0x1bf4d437, 0xca9442f1, 0x3bcc0f61, 0x231702bc, 0x2915f6c9, 0xca99a631, 0xc0c77397, 0xd2fbb46f,
+    0x009052a3, 0x42944998, 0x4ac9399b, 0x0d5d2b8e, 0xa555de43, 0xa18bed6a, 0xdb5bb585, 0x806891d9,
+    0xb5630dbe, 0x792d2fe8, 0x6af83fc1, 0x1c6c94ae, 0x39f060c1, 0x4424a54c, 0x546065c0, 0x4ad10d66,
+    0xb07189ca, 0x8eb10de4, 0x721f6fd2, 0x9cfcc115, 0x88b408e9, 0x6d465920, 0x624dbba0, 0x9b084faf,
+    0x96fcd8fd, 0xc79ade1c, 0xb19f6542, 0x5b0ade08, 0xbc738c68, 0x33ff253d, 0xb314f5ee, 0x2e63202a,
+    0xfe9ecd3b, 0x65f5894b, 0x953e15be, 0x4976adff, 0x2c07dfb7, 0x084c2de7, 0xd38246ea, 0x7a23cc0a,
+    0x6d700886, 0x0241b9f5, 0x5a375240, 0xaa33300e, 0xb35d2316, 0x575cceb5, 0x70baa14a, 0x42f66e53,
+    0x1270535c, 0x07f1b02c, 0x6dbb1f7b, 0xcafed354, 0x5edbc5ce, 0xf9fcaf10, 0xfa84fc6b, 0x8d3ddf47,
+    0xc091cf34, 0xfe5a2a9c, 0x3d9edf2d, 0x941bae62, 0xcaec7e87, 0x9aac58b3, 0xc9010a67, 0x3f45b023,
+    0xa775da96, 0x276fa117, 0x1b7ebb4d, 0xdec8016f, 0x6d74aac9, 0x5234dc3e, 0x364e41d9, 0x15b8f3c4,
+    0x36b651f9, 0xcc9535ee, 0x1455a602, 0xb71c8905, 0xd8aab59d, 0x7e8ca2b6, 0xdfff11d4, 0x5d89b9ae,
+    0x9d6ee63f, 0x67accf5a, 0x23e3c1b2, 0x526a1df3, 0x49a92f2d, 0xb91cee82, 0xbe94de7d, 0xe2f827d9,
+    0x5d3f8c21, 0x628275ac, 0x3642b588, 0x9a62af8f, 0x95f1bc09, 0xc2d04916, 0x3506bd52, 0x60b3a555,
+    0xb785de13, 0xafe31606, 0x39f68472, 0x6ad11c78, 0x17a94023, 0xfc3ef30d, 0xcdc951e3, 0x988fba88,
+    0x3d44b8fb, 0xc4ba32d2, 0x7f13fde9, 0x22593b32, 0x649a6223, 0x147c2ebc, 0x1fb4affc, 0x4ed810a6,
+    0x26b101f4, 0x0f41a821, 0xf8b8c14a, 0xea0c7146, 0xe6184c8b, 0x2000f115, 0xd2798a8d, 0x02e02cae,
+    0xe81f02e0, 0xe029cd7e, 0x0a3f33c9, 0x36914776, 0xf9491cba, 0x588f9f99, 0x128e3aeb, 0xfcf3f32f,
+    0xa04d8899, 0xb3ae82ad, 0x8e3fa44d, 0xb409cc51, 0x0e0ed77f, 0x883e0864, 0xea0b6d1b, 0x68dc6f1c,
+    0x464833a0, 0xb0d94725, 0x7afeb827, 0x0b293064, 0x6eeb08de, 0x1e6a439d, 0xb1f78ee6, 0x3e4e13c5,
+    0x518fb044, 0x6b02bcf5, 0x150ffc97, 0xa5029037, 0x77560123, 0x7f85282c, 0x60769657, 0xfc41c043,
+    0x6d400b75, 0x99b5fb41, 0x063eeb38, 0x88b5fb93, 0xa3ad7292, 0x63fd9f6f, 0x7a954f5b, 0xe629640d,
+    0xd9a97f68, 0x4d38ff81, 0x9225c549, 0xb26aff9a, 0xd561447a, 0xa42aa946, 0x21272dbf, 0x17d4b91a,
+    0xf36da406, 0x1bb911dd, 0xcd3e09a3, 0xc0d4a48f, 0x53d7a4fc, 0x4cbb6466, 0x820b4747, 0x56133d57,
+    0x526c37be, 0x4f6e1d76, 0x2ba8bf9c, 0xbe9f08c9, 0xa158b244, 0x100e8fe5, 0x2ca73f1e, 0xfe57d31c,
+    0x273fbaef, 0x6f7c3f49, 0x62b9d963, 0x828f6fb7, 0x9deca9d8, 0x34f841f9, 0x809704d9, 0xb15f05a6,
+    0xef01c531, 0x4f02e285, 0x02ced973, 0xd9f503be, 0xa60ffcb7, 0xcc7679f0, 0xc5447f00, 0x0aa13fc5,
+    0x4f603bc6, 0x03ee4b43, 0x72f5f614, 0x2e46565d, 0xd059be00, 0x939c8c04, 0xa66f2982, 0xea5feb97,
+    0x55ba9b5c, 0xb505aa47, 0x711ba0e3, 0xb03b698f, 0xdd42edee, 0xda39917b, 0x22ab7ffb, 0xb482a645,
+    0x4238b728, 0x7778b4d4, 0x7c568d56, 0x3d404b98, 0x2da1f1a2, 0x76a975ac, 0x4321707e, 0xbb9a535d,
+    0xd499430e, 0x2fe3c1b2, 0x1dad6f65, 0xd6f8b77f, 0xd423fbcf, 0xed4d3325, 0x6f9abba8, 0xcb4a3a0c,
+    0xb6572d23, 0xe9aa4b1f, 0x5d52a03f, 0xc3507daf, 0x043b8846, 0x7d0cd55c, 0x12b989b5, 0x2e51b966,
+    0x4b161d9d, 0x0d8566d1, 0x60cf826c, 0x7d25e353, 0xfe0fb1c1, 0x4ae4b284, 0xaaab14f6, 0x5d483258,
+    0xb350deb7, 0x46f344d1, 0x8c4f8be2, 0x3f8e4ceb, 0x534dd228, 0x06372e21, 0x10b37dd1, 0x04623699,
+    0x266b49e8, 0x3afb9031, 0x6522fc37, 0xda0214f2, 0x7cd9cb9e, 0x46db5a61, 0x3982d59f, 0x7b9fa48c,
+    0xf437ef56, 0xff1e4110, 0xc8b89cfc, 0x39ba8e06, 0x03c4769a, 0xa3989760, 0x8235a8b6, 0x16843f66,
+    0xd0305e0c, 0x3e5db323, 0x99710f5a, 0xe88fcd9b, 0x96f2a11a, 0xde5b38db, 0xde075a7c, 0x7f168d4d,
+    0xd9aaf539, 0x44c47ad2, 0x3f38a6d7, 0x6c75c5a9, 0xb1beb242, 0x55b855ae, 0x9f9c76ad, 0x10d02f90,
+    0x358d6867, 0x74bb295d, 0xa0f7c45d, 0x1a94dc8c, 0xdb6f52d9, 0x446e664e, 0xf44a014b, 0xcbf0b5c0,
+    0x439ab689, 0xe73acb38, 0x32f638e3, 0xfdcfa312, 0x45f0ab41, 0x2dc8ae5e, 0x089e47bd, 0x74dcc73c,
+    0xc5502af8, 0x1f9d67a8, 0x20cd55f9, 0x044553c6, 0x7002fe2a, 0x4669ed7c, 0x57b2d1db, 0x2dcfd48a,
+    0xf8805052, 0x82049da7, 0x3c8d5464, 0xc6e793c6, 0xa247140a, 0x7663535e, 0xc5b188ec, 0xf86569db,
+    0xaaa0463a, 0x940178c1, 0xda3304b0, 0x87d3b0e6, 0xf986e067, 0x038ce0a8, 0x6bf59c8e, 0x58fe3f79,
+    0x8ce69928, 0x1f1d6f5d, 0x5ad7740a, 0xda54f982, 0xf2f0ac67, 0x12c2a752, 0x75c34aa0, 0x686020a5,
+    0x2ffa09ec, 0x8bfff0ee, 0xf7232bc9, 0x7720b564, 0x37300419, 0x47ef2b4f, 0x6ddfee78, 0xbde5b4dd,
+    0x5758d83c, 0x761e2b77, 0x6a464f45, 0x873e5e10, 0x7804403c, 0xac2d5972, 0x962e6d8d, 0x852948cf,
+    0xe06942a9, 0x42204ed4, 0x85d00cea, 0x63cec7a9, 0x40e32fba, 0x28fd2154, 0xf05353fb, 0xf085facc,
+    0x8eddbe40, 0x40e01f3e, 0x8225051e, 0x2cd5f33c, 0xb32d0ed3, 0x7fec81d6, 0x3747a5b7, 0x5d89c74f,
+    0xc66a34ce, 0xe04b2a18, 0x8a271f86, 0x58a50c80, 0xfbd32619, 0x7f5cc032, 0x2500de02, 0x0eb41678,
+    0x2b0d8bb3, 0x3406f417, 0x77b579f8, 0x88f70a29, 0x2f0921f5, 0x780b9e13, 0x93712149, 0xcdedbe21,
+    0x9bde73c8, 0x4dfdb26a, 0xd5bd43db, 0xf89c3ba5, 0xd472e5ed, 0x08bde773, 0xf2113f8b, 0xfeb3d874,
+    0x90757c30, 0x80880982, 0xf869791b, 0xb45395cd, 0x357fb9a3, 0x71b01ed4, 0x0db25edb, 0x98a707d5,
+    0x7d8add4d, 0x2864defe, 0x40a559d7, 0x9562f684, 0xddba6b74, 0xb18c5348, 0xf6e11996, 0x89790731,
+    0x0f7ed071, 0x8fb2c54a, 0xe34fa214, 0xb907bfa4, 0x63bc14c9, 0x0f259940, 0x92159bd6, 0x58f9c8dd,
+    0xb0331f8c, 0xaa30128d, 0x9b88a8a1, 0x6cf651e3, 0xcdec72e1, 0x419d9092, 0xf28442a7, 0x0f309562,
+    0x0afa9601, 0x25cf994e, 0xbac408f4, 0x46f611ac, 0x0fa7a151, 0x33c15c94, 0xf164c9c3, 0x2f907db2,
+    0xff60a3fe, 0xd1e1fed4, 0x99f16a88, 0xdb0b82db, 0x91d8b78c, 0x57b38406, 0xb4fce3a3, 0x9eeccb4c,
+    0xd4b7beac, 0x9d3be631, 0x7f6a99e8, 0xc9959fa3, 0x967a5533, 0xc32c06a6, 0x9cd1a2e3, 0x54caecae,
+    0x63cb2d38, 0x4e13c89a, 0xf4bd812e, 0x0b5e510f, 0xbd0bed85, 0xb3b33dd8, 0x77d20e90, 0x36776ae8,
+    0x92fe402e, 0xb901ff13, 0x2a856f95, 0xa6215a61, 0xc0d0b713, 0xc413906e, 0xd8deda7f, 0x7091ecaa,
+    0x6e48812b, 0x4a13c1a7, 0x1109b941, 0x2fe578b8, 0xd31d51fb, 0xec6dd3c8, 0x1ad5ad64, 0xb7017bc2,
+    0xbcca5898, 0x599a35cf, 0x1e99b274, 0x2b7d37bd, 0x7a2569c8, 0x63ab502b, 0x9781e3bb, 0xaf82df94,
+    0x7287dde8, 0x1e0e354c, 0x1f0b1bb2, 0xd3788699, 0x9eb9fbfa, 0xe67c9a04, 0x44aa21d1, 0x5b0f603e,
+    0x6cadec84, 0xe055ab16, 0xdec9f0d4, 0x65a4cc7d, 0x2e9b7eea, 0xf5538871, 0x485986a6, 0x749df85f,
+    0xdef5cc97, 0xa6ad5e92, 0x027e171e, 0x05dcf096, 0x54ecfde9, 0x241ff6ac, 0xe3ca9d98, 0x5646a906,
+    0xf5361737, 0x24df89c9, 0xc72a858f, 0xbe63956c, 0x5fcaf43e, 0xb5376d70, 0x801d337e, 0x619a67f2,
+    0xe5ac1547, 0x844c116b, 0x59d900ef, 0x8fbb5a3a, 0x779f36e2, 0x2b302d8b, 0xfb65d166, 0xb2131c21,
+    0x500248c1, 0x098c1956, 0x537c9fc8, 0xf1896020, 0x55cdabbd, 0x863916d8, 0xc7727322, 0x40e55366,
+    0x6e593d34, 0x1861519d, 0xe6456e88, 0x323270c0, 0xb010158b, 0x75c6c414, 0x850c01e0, 0xb780950c,
+    0x27aaa7e0, 0x2155d411, 0x815ad9a7, 0x2d17e860, 0xfb781c55, 0x8f36ad7d, 0xef5c5c52, 0x9e36134c,
+    0x50cf3a95, 0x800cef98, 0x27d7d7f5, 0xf36d0b93, 0x7dc5d782, 0xd4e213b9, 0x11f4bc5c, 0x61802413,
+    0x7d9320fc, 0xe2fe7fad, 0xe26683cf, 0xf50f0532, 0xa1de4aa1, 0x56b9c102, 0xa5abd838, 0x1c0820d0,
+    0x956e7a66, 0xdd502c83, 0x6a71e2df, 0x3edefb56, 0xc34d2a71, 0x0c9fb381, 0xf5c193a6, 0x91823c54,
+    0xae608b8f, 0x625eeef9, 0xbd164122, 0xf1d7496c, 0x63958aff, 0xbc4b1d17, 0x0cd35e21, 0xe0bf1231,
+    0x2c93d60b, 0x44fba948, 0xb337f145, 0xc65591d9, 0x9db1741b, 0xb3ff03f4, 0x2cab699c, 0xbd4125cd,
+    0x1630c9b9, 0x2af678f2, 0x99fe2316, 0x2312955f, 0x6b74fcfe, 0x55cadb8e, 0x9f08ea52, 0xba5c4065,
+    0x97ebfc9e, 0x1c19e080, 0x249cb058, 0xe2608723, 0xfe59f856, 0x6bf503c6, 0x49cc5f89, 0x84970dc5,
+    0xdc266192, 0xc2b93403, 0xfbacf08b, 0x0fbad884, 0x88400aea, 0xe1248f8d, 0x215eb73f, 0xbce8fa2a,
+    0x3aae342c, 0xed17ab59, 0x74f5d6f5, 0xd780932d, 0x974d22d7, 0x14fa9f1f, 0xac522cc6, 0x755d5e39,
+    0xd2979e3d, 0x0d80a615, 0x730e9c72, 0xf71edd97, 0x37f6e736, 0x5fac2e1d, 0x19913bbe, 0x4758d291,
+    0x21fa175a, 0x743bf798, 0xc890d3a3, 0x74f1f7b7, 0x92b7c259, 0xa1502c67, 0x3b3a3589, 0x78eadc8d,
+    0x57e5f457, 0xb31e02cc, 0xb9b6561b, 0x96fa5970, 0x20070ebe, 0x1020d928, 0xe08a11da, 0x64315fa6,
+    0xcdc8327a, 0x84e57ef4, 0x8e99b9ef, 0x0d570d2f, 0x68d02d76, 0x0f15abe4, 0x3fedf0af, 0xa7f19db0,
+    0x75feb5ba, 0x432d86bb, 0x21ecd132, 0x43059999, 0xe3e216fa, 0x32e48e8f, 0x2332f99c, 0x1249769d,
+    0x1b7d5c02, 0x1125aa8f, 0xcdb5d71b, 0xbdbe8765, 0x054bb718, 0xc060797c, 0x63b865b0, 0x6f3d22d4,
+    0x6e6b81f3, 0xaebbae70, 0xbb32c51d, 0xe319bd1e, 0x6f33cffc, 0xdea98075, 0xc8d86e4e, 0x57793765,
+    0xfaa619ec, 0xf7ee27e0, 0x0affaf73, 0x8b035890, 0xf1fff673, 0xa495cf34, 0x871f1f69, 0xb63a2123,
+    0xb0059ce5, 0xcb88a968, 0xdd62fb1f, 0x3e686384, 0x044031b3, 0x52c54d5d, 0x7286adf1, 0xdef0f4b8,
+    0x4616b99c, 0x21276d02, 0x7e113601, 0x063fe865, 0xa2cf6249, 0x82163ca4, 0xc5cc0047, 0x78aa4be5,
+    0xc730573c, 0xe62741c2, 0x0827efe5, 0x8515913b, 0x40372a87, 0x1c0697a7, 0xb16008b4, 0x9423f8e2,
+    0xfbb3d19c, 0xe9410ac0, 0x9d539182, 0xced48dd1, 0x90bfe065, 0x58a0863a, 0x6c38bdd8, 0x26175cc2,
+    0x640cb987, 0xbd8ce202, 0x01780d5b, 0x01e60a2c, 0x55d7c238, 0xcdd51bca, 0x6cd75eda, 0xca74760e,
+    0x03a9d87e, 0xeb1a411e, 0x8b932e8a, 0x133ebbd4, 0xd4ddda37, 0xf8539771, 0x9322cc61, 0x3ab25b2c,
+    0x18b32f38, 0x2994a825, 0x906c9842, 0x77292a35, 0xda3c9fc2, 0x98bde1f6, 0xcdc8d39e, 0xb59a3624,
+    0x6fc31f9e, 0x34039e00, 0xebaeab93, 0xa0685e73, 0xd85718a2, 0xbc47c4e2, 0x008af7db, 0x2e00a7a1,
+    0x37be551f, 0xb06367e9, 0x5b603d8e, 0xbae3f292, 0x772c7f7d, 0x1bee9f1b, 0x655eedfe, 0x7f8e22b9,
+    0xf0593f2c, 0x307c90dc, 0xeb1fb95c, 0x373ab516, 0x2deacd50, 0x954771fb, 0xad69cf36, 0xc6d11456,
+    0x111ba7d5, 0xd734170a, 0x18de94b3, 0xc0a1b677, 0xc7ed8745, 0x6962d1f7, 0xd6d33df2, 0x9dab9a2c,
+    0x00000000,
+    0x80565ca4, 0x61435ee4, 0xb63ad0bd, 0xa3e24bea, 0xe9dd51f3, 0xd06650fd, 0x082e7859, 0xe91b6ac8,
+    0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000113568550671188576648331844982500708492756462607393446918\
+                         98284362197488876771842551971735167402555711886914400097909030211478150447104 */
+  { 0x00000000,
+    0x41491cef, 0xdb753917, 0x7409de62, 0xce8ec292, 0x193f7ea8, 0xc130d5f0, 0x46418570, 0xaf8a958d,
+    0xb7de3c93, 0x4b651216, 0xe19b10bc, 0xc0fbf273, 0x4961963c, 0x513d08b3, 0x0c747648, 0x8c9aea7b,
+    0x1f8dde59, 0x9df6fc3e, 0xc0f92f16, 0xe20c1173, 0x14547a17, 0x7fc548a2, 0x20a287b2, 0x88b87ba2,
+    0x953f1389, 0x6cee0f05, 0x74427ccd, 0x7ea81f14, 0xc11d231d, 0xc8c96e4f, 0xf2f73b50, 0x400ff212,
+    0x53c0b082, 0xf4dc6be2, 0x46622637, 0x06ba30f7, 0x4e65a55f, 0xdaee0a32, 0x0828f7f0, 0x5c35b4c0,
+    0xfb2ab4c8, 0xab4c644e, 0x2a6716a2, 0xb4938108, 0xa60bd1a8, 0x52b17a7c, 0x404752b5, 0x6791a0ef,
+    0x838e9ef7, 0xe704db14, 0x52e1aa04, 0x128de836, 0xd4091743, 0x2a1d3d2b, 0xb20553f8, 0xfdf93d19,
+    0xea6b1458, 0x853a3451, 0xc256f67b, 0xcde34480, 0x8f945211, 0x9987ba6e, 0x1cd2ede2, 0x3241b577,
+    0x51fa69b2, 0xcf3b5396, 0xe03830d7, 0xbc2ce374, 0x8a3d952d, 0x14d4eaef, 0x89e08a19, 0x0247cf45,
+    0x8acf4514, 0x578dddaf, 0x61985276, 0x3e71d8fa, 0x7a344391, 0x1c3d74de, 0x975ed3ed, 0x54485c78,
+    0xc66df464, 0xe667fa78, 0x1c03ddc6, 0xed4aeef9, 0xcc11132e, 0x84599c5c, 0x3956c1b0, 0xa74d72d5,
+    0x84730232, 0x1c5231cc, 0xbfc8edd0, 0x45c69f0c, 0x9ce7104c, 0xa42e9518, 0xc8c64650, 0xe4310784,
+    0xe1adcc94, 0x2770a35f, 0x9955a3d1, 0x95e4f1a8, 0xfaed0d78, 0x7c533b47, 0xe3654aa5, 0x1fa16308,
+    0xc255c9df, 0x9613168c, 0xcfff52da, 0xa7617d97, 0x2946c4b3, 0x6e5a3566, 0xc16c34c5, 0x732283e9,
+    0x1b36c48b, 0xa8fef4c1, 0x8985292c, 0x29ad06be, 0x60f1fc7f, 0x30072054, 0xca31b798, 0x41f97575,
+    0x29be182b, 0x2c0b4477, 0x214673df, 0x39bf9738, 0x23242b50, 0xbaa329b8, 0x6d345b04, 0x825ce217,
+    0x8a132288, 0xb1e53b6e, 0x5bf7b7dc, 0x732f3a6f, 0x64a2f5d7, 0x6d22a882, 0x6a2ec777, 0x9b457292,
+    0xac3bf0ef, 0xf0d6d95c, 0x1c8cbdf0, 0x6d041136, 0xb1b883f3, 0x7b5603ec, 0x0829f082, 0x635c0e39,
+    0xdb461751, 0xe0466209, 0xaeb24758, 0x777e8529, 0xd88e85f0, 0x27af0e3c, 0x7afc4a7d, 0x94189c66,
+    0xff99d955, 0x4e57afcf, 0xb1f99d3a, 0x70a018bb, 0x88e0ac1a, 0x8e837a05, 0x45fb6708, 0xdfcae438,
+    0x974f75a1, 0x6301cd4f, 0x47dc8861, 0x47f352e9, 0x45c54ad4, 0x1d6d552d, 0x54b986c4, 0x49d07080,
+    0x6b29073b, 0x205a2cd7, 0xf2587278, 0x79f87e8f, 0x9ad75980, 0xd97ea538, 0xce3ead40, 0x67b0f821,
+    0xd6d518ca, 0xf1156c57, 0x24f938ff, 0x2e10abc5, 0x3d3d7366, 0x3e68e39b, 0xd6d271cb, 0x37e32ea1,
+    0x11cf161a, 0xa60547d8, 0xe84f6cec, 0xed70a595, 0xab9e7982, 0xc3eaa7d9, 0x9e1eadb5, 0xb6aef93f,
+    0xed4f39a7, 0xe8205f5a, 0x14693e5c, 0x10126585, 0x961b8b9c, 0xdaf64c3b, 0x0904a344, 0x4558fee3,
+    0x72714a4f, 0x7a750e6d, 0xda6f80b3, 0xb7ea421a, 0xd8dca8e4, 0xc1907a0c, 0xee97c70e, 0x4baad2a8,
+    0x4f4a4d80, 0x76d5f3fc, 0xa8612ff5, 0x2f86220e, 0xf4b2ec30, 0x98b0cee1, 0xee36d3cb, 0xc36bb70a,
+    0x2b89fc94, 0xda57a05b, 0xb5b56287, 0x407d34e0, 0xc7dd5d0c, 0x1b96a7ce, 0x5d892c0d, 0xab02a01d,
+    0x82136540, 0xea32d3ac, 0x6b03f3c9, 0x83633d85, 0x52af5041, 0x4ff3b09c, 0x0fbd44a9, 0x168ecc88,
+    0xce1c71d2, 0xbd12a2b6, 0xea7de1ab, 0xc89f5a8f, 0xb9dd9b7e, 0x106997c9, 0x2c8ca390, 0xb7e69edb,
+    0xadbd8560, 0x08cb1cdb, 0x1d9b35da, 0xf43bf0db, 0xbfa6e84f, 0x0e212f85, 0x3cdae4ef, 0x9ff3c6ef,
+    0xad71810c, 0x95576325, 0x4bd4a846, 0xcc938b88, 0x7097d00f, 0x3d02218c, 0x826bfbef, 0xc97a21cd,
+    0x8f8e1937, 0x39a1c13b, 0xe97496b8, 0xc33e0a7b, 0xb41d6566, 0x1eeea507, 0x7a4bf3f2, 0x45c25736,
+    0xc4321ebd, 0x0389dd21, 0xecef9375, 0xfd67207a, 0x9889fbb7, 0xeee0d471, 0x7b1fecf9, 0xbcf0eabc,
+    0xa9624fe8, 0x2c2fd987, 0xf2800ff9, 0xfb029852, 0xae89b171, 0xf263dbd6, 0x1c0e3315, 0xafeef03f,
+    0x1040b258, 0xf1bafa8b, 0x593cad4a, 0xac586a81, 0xf7a24e0f, 0x359aef3c, 0x0a7b5d2c, 0x16b8330a,
+    0x4f42ac90, 0x83365d88, 0xc48e2ddf, 0x9e3c8e9d, 0x311ce8a1, 0x9235281f, 0xccfebc56, 0xb154efc6,
+    0x87bb6e0e, 0x823cb09c, 0xe0355d07, 0xf65d9337, 0x8c089b2a, 0x9dcfd6e3, 0x85eab98d, 0xffccc9d0,
+    0x176e43a1, 0x8235f546, 0xa6983971, 0x529f2100, 0xcfc3a6a4, 0xc321d0be, 0x28c5e536, 0x6d116c81,
+    0x099ee69a, 0x1943db0a, 0xd0c6a2c6, 0xbea3dfb9, 0x1ebc4d4d, 0xf4300bfa, 0xdd3ca627, 0x3cb41c25,
+    0xa3954413, 0xe8fb9e6f, 0xa0d11df3, 0x18bed632, 0xf51c6822, 0x826e2235, 0xf305c0c6, 0xa8aa3838,
+    0xd7ed9f20, 0xf4cc9b89, 0x02a43aea, 0xff14c20e, 0xdd18e691, 0x8e732211, 0xfad88c37, 0xcda355fa,
+    0x68e3937a, 0xf53fc2d8, 0x1af2aac4, 0x797fe576, 0x3f9b1e30, 0xeabcb8af, 0x05ea059c, 0x8e1600b1,
+    0x97b5c34f, 0xf0e35bcf, 0x89051fca, 0x63c3cf33, 0x8cec5e75, 0x1da84a48, 0xfd1ca7fa, 0xd940c288,
+    0xdbe13ad1, 0x8bf7c795, 0xcdccdb6d, 0xfe93b658, 0xb47b35e2, 0x83d0347b, 0x671efe95, 0x2186ed3b,
+    0xdbaaafdb, 0x7431414b, 0x9ae7e9c2, 0xef8b7e8d, 0x70e9ebd5, 0x94e3f757, 0xbbd93ce9, 0x61f88d96,
+    0xc4cfe1a2, 0x2b9d3593, 0xb7831952, 0xebf47fb3, 0x55c2a0f5, 0x05f3f050, 0x6bcab4ba, 0xe13f582a,
+    0x65a9867c, 0x275664cd, 0x6dbaa0bb, 0x90fc1e1b, 0xc115a05a, 0xbcc2419f, 0x0a0c30d7, 0x671e0d49,
+    0x13b4a54b, 0x8e2e7b5d, 0x096b45fa, 0xc6afffce, 0xd9b65c8b, 0xce018226, 0x17b9dfbe, 0x5a3b1422,
+    0xf4af3dcb, 0x20695e74, 0x104bfbd4, 0x71e2aab8, 0xf14bc44d, 0x20892ece, 0xf88319d2, 0xafeeb5e8,
+    0xdb5b19ca, 0x97055786, 0xe5cfd24c, 0xb8e06f64, 0xcd59a93f, 0x52abec04, 0x8e8dfa9b, 0x11243904,
+    0xe7cc66c0, 0x420a2348, 0x9e1e9072, 0xa513961e, 0x48634c03, 0xe6d03e57, 0x26b2e9a8, 0x9520792e,
+    0x16339b18, 0xd93c6678, 0x08408750, 0x9e22beb7, 0x4e61ffbb, 0x88eb0e77, 0xd7c7a456, 0xff04de1f,
+    0x6878ef65, 0x5a3500d4, 0x030d3ad9, 0xe63949d6, 0x12a4edd9, 0x9bfdb2fa, 0xc5f47db9, 0x5d21a798,
+    0xb276969f, 0xd84ec63e, 0xd20e01e0, 0xe7a602b6, 0xeb459ec7, 0xc64d0a17, 0x2e5f9c43, 0x6d709f39,
+    0xa6a86afa, 0x5bf59c3b, 0xd0405486, 0x9af890d4, 0x6d3dc1f4, 0x131be9ee, 0x60b846cf, 0x42c8d1ef,
+    0x4d8880b4, 0xfbf494fa, 0x626a1fae, 0x588615c3, 0x0b2679f0, 0xe152a09a, 0x8b34610a, 0xe2406624,
+    0xc3bee79c, 0x7f6602b4, 0x9ca66649, 0xe2c23245, 0xd07a00a6, 0x3de3802a, 0x1fef86c3, 0x80d92cf8,
+    0xa6619b8f, 0x15ab595d, 0x97f0964c, 0x2a4694d1, 0x36143188, 0xf37f0296, 0xd9943f9c, 0xeef8317d,
+    0xfe08c0ce, 0x201684bc, 0x8935c8dd, 0xf1c8a522, 0x7b9fb9df, 0x99bec3e5, 0x37811c2e, 0x44c6c18d,
+    0x8c553c10, 0xfbe36d00, 0xcf3987c5, 0x13c659d9, 0xbc678179, 0x897463cd, 0xbf59ec1c, 0x272c0f6d,
+    0x3285a79e, 0xc2592d42, 0x5db49c12, 0xbd656d06, 0x22e3640a, 0x4e183248, 0x897d95a3, 0xaf0b7713,
+    0xa53883c6, 0xb12e095e, 0xbe731345, 0x464a5eb9, 0x7ad85f11, 0xb583577a, 0x8c86c5e1, 0x46cc12af,
+    0xb2484080, 0x2772953b, 0xf29b1f8c, 0x2e9e0e40, 0x3c6b4097, 0x624ad81a, 0x1641c7cd, 0x9d187b2f,
+    0xe35102ef, 0x8c8c1a2e, 0x16932bc1, 0x0d91a8e7, 0x0cbbd928, 0x56f75e78, 0x0cb190ec, 0xb118dfc7,
+    0x3da66852, 0x866a2d24, 0x46753349, 0x6db9b1d7, 0x79d58458, 0xcbf8e91e, 0xd6a0c04d, 0x383390a0,
+    0x4154f69f, 0xbb4f11e1, 0xa1f466b3, 0x08258795, 0x3d98648f, 0x5344a89e, 0x1699aeef, 0xbb24eb38,
+    0xe766114d, 0xf00ccd27, 0x074d8e66, 0x788140b6, 0x663dd030, 0xec1a62e8, 0x3ffe5df1, 0x3ed05215,
+    0xf15ee3ea, 0x76163de8, 0xb04c1713, 0x2825e1fd, 0x2e2d97bc, 0x21eab3a9, 0xac7afeda, 0xbaf86ecd,
+    0xd085869f, 0x283af862, 0x5fe84612, 0x9d92ef00, 0x4d91eba3, 0x30ec7716, 0xc0d75bdb, 0x0c7a3d72,
+    0x9e0b36b3, 0xd216475c, 0xc8d0f828, 0xf34e265d, 0x79fe3ce7, 0x278622f4, 0x85c192a8, 0x2d70eb90,
+    0xe0bb19ed, 0x42e33481, 0xda948daf, 0x537b398e, 0xb5008559, 0xf0f62c61, 0xf62a8111, 0x6975df16,
+    0x62ab5851, 0x75ad0626, 0x588df215, 0x9a9439aa, 0x4b27ccf0, 0x38de072b, 0xf5c79538, 0x27c31cf6,
+    0x443a5759, 0xa0fc0a80, 0xbd12d2b8, 0x866c7089, 0x8460d6ea, 0x1eedb034, 0xdf13412c, 0x6b173286,
+    0x6d1f82fd, 0x5f7030ca, 0x70aaeb30, 0x3aed2fe5, 0x9a175f82, 0xcbc6334e, 0xe023c80c, 0xb3ed166a,
+    0xbff30c45, 0xacfbf9b9, 0x23319581, 0xfee189e8, 0x6acd8d8d, 0xc2cc06a7, 0xd4bdfd4a, 0x9d217fdb,
+    0x875c0412, 0x9bec0941, 0xa1958827, 0x6bf87e13, 0x66071bcb, 0xe63f213f, 0x5231d4ce, 0x98cfdaf1,
+    0x0517f64a, 0xc39ce366, 0xe8cc0d17, 0x915d18bb, 0xd8941b01, 0xac9ded9a, 0x20ad8941, 0xfe0f9b66,
+    0x0554b882, 0xaaa8ae9b, 0x1353a8e3, 0x99a9d432, 0x85187f66, 0x96dbe6fc, 0x1e644cbb, 0x1981165a,
+    0x9a37892a, 0x0306e26c, 0x1c13f797, 0xc90bea71, 0x1148e97d, 0x6bfabed0, 0x87d0519b, 0x635f4937,
+    0x513a1edf, 0x42ad347d, 0xaf7cff16, 0x4e3db907, 0x0dfb46da, 0x809a405b, 0x3ee901a4, 0x84848104,
+    0xe6e6c553, 0xf0d4a169, 0x1f37a096, 0x1bc1070d, 0x7a5f9af4, 0x4ed49672, 0x2f50fa6f, 0x9170047f,
+    0xfbaf018d, 0xf94668ee, 0x15dc221b, 0x7e602a1f, 0xee04b9ec, 0xe340eb0c, 0xe950e25e, 0x2026922d,
+    0xd324d67a, 0xd1de1be3, 0xb764d1c3, 0x44d4a014, 0x430cc2f9, 0xd1cd315a, 0x9fee5193, 0x160ae553,
+    0x8de35e90, 0x53c74ba0, 0x3d5edd4a, 0xe66987b8, 0x62059389, 0x1c200585, 0xf2f0b2e9, 0xa131cf61,
+    0x76800095, 0xc597a755, 0x7a4f0521, 0x9b642b38, 0x97cbe02e, 0xe4d53771, 0xf9ccc5f2, 0xff28f194,
+    0x5cad0f96, 0xb74deb4a, 0x72a85357, 0xd57af8ca, 0x0730be58, 0x16288b99, 0x2395652d, 0xd9ebcd35,
+    0x8fdfc141, 0xb6db8e45, 0x71eccb00, 0x0a6dc1ce, 0x36bef281, 0x0043bd73, 0xfa13d612, 0xced07c01,
+    0xf3083302, 0x33781cbd, 0x1eb4d4a9, 0x960eaf7b, 0x0394a869, 0xedb9e4d7, 0xe13b6811, 0xbd7e9bad,
+    0x31d4f5ee, 0xffbd54e3, 0x36584620, 0x58c7c93f, 0xf21c6879, 0xd7c2bb98, 0x89230e92, 0xc9815f56,
+    0x1eeb7b4f, 0x8341d600, 0x174c722f, 0x4827af40, 0xed6e69de, 0x8ec2f5f3, 0x26db61ce, 0x2aebb760,
+    0xb6af520f, 0x093ad2f0, 0x19bdf74a, 0x14d62451, 0x89cfa62c, 0xb2a5cc73, 0x2dcefaf2, 0x990494af,
+    0x6e54b676, 0xe8760383, 0x38c57c76, 0x7c47fd98, 0x5eb776e2, 0x547cfd83, 0xbccfc165, 0xe8bcfc50,
+    0xbfad8a57, 0x8a93e9e1, 0xac34b777, 0x76cb47a2, 0x052de3b9, 0x70856308, 0xaa1e018c, 0x6236b896,
+    0xe8ab9ae2, 0x21fb1807, 0xb0470cdb, 0x0aa833fd, 0x7c985acb, 0x8948f3d1, 0xaf329081, 0xc8ff82d8,
+    0xafd3dcde, 0x411430ef, 0x44181946, 0x726db6e7, 0xe8d6d5b5, 0x284b51f9, 0x0bc3d705, 0xb007215e,
+    0xb03dd3d8, 0xd44042ec, 0x45d4928b, 0x8327ec42, 0xf4bd4141, 0x43ef6033, 0x136caac8, 0x926d287e,
+    0x584892a5, 0x4cad515d, 0x870a9f53, 0x0237781e, 0x3b2c5b80, 0xf40c376b, 0xf2542c89, 0x5a783925,
+    0x8373c956, 0x7262b0f8, 0xd2d2a79c, 0x4c2f1cf3, 0x14363ade, 0xd1664cbb, 0x30a00f7d, 0x3480d2fa,
+    0x1c644e95, 0xb45e39c6, 0xfd599f35, 0x0db9e07c, 0xdb9cadde, 0xdf66ba73, 0x5a16a0eb, 0x5bd3dd3f,
+    0x4ead4574, 0x3d52b288, 0x380446d8, 0xb2424665, 0xd6c8b350, 0x99ab2196, 0xd6fe1c84, 0x233f8237,
+    0x46563351, 0x20c1804d, 0x15fa2828, 0x3598a267, 0x90c4aac5, 0xa81930f9, 0x9aae6a5f, 0xb39a7781,
+    0x88c6f4d7, 0x5f4c37ee, 0x75f81f9c, 0x13348751, 0x247ecba0, 0xcf2252a1, 0x49be4148, 0x2e0d01a1,
+    0x5a4d14e2, 0xc10f29b8, 0x402a2e81, 0x3d3a87c1, 0x6ff5a5e9, 0xee243610, 0xc1098f68, 0x00fe3c40,
+    0x6e7e0026, 0x2fdaa217, 0x7b28dbdd, 0x5b6a2c38, 0x9cd66a98, 0x0ef1a1df, 0x70e545f7, 0x8cd7b4a0,
+    0x004479fd, 0x4d91702c, 0xc3f101f6, 0x615d0a15, 0xa0f43a06, 0xf460a45a, 0x0a3fc240, 0x51669260,
+    0x8dd38bd4, 0x674789b1, 0x56c82b28, 0x7aec03d3, 0x684d49c4, 0xce412943, 0x18db920a, 0xbba15ea5,
+    0x7ba01faa, 0x0b53e552, 0x853b8023, 0xdf1f9fdb, 0x8d043d17, 0x7bb733e5, 0xe814b41a, 0xf8e496e7,
+    0x42c19889, 0x4d6c9671, 0x566bcbd4, 0x5101aec9, 0xac5c7473, 0x7b60886f, 0x2120d87b, 0x2871c599,
+    0x025fb06c, 0x826cfae7, 0x09ee6008, 0x8bf0b88d, 0x2c38f7ee, 0x8ddaa6dc, 0x4305a280, 0xdd56e4c6,
+    0x9da8d5e0, 0xbd84495b, 0xe3eac951, 0x9c46f399, 0x4b155719, 0xdac00c15, 0x0aa70b7a, 0x820ed886,
+    0x13310dc9, 0x1de0969d, 0x6dd2b23e, 0x22cc8c2e, 0x4cfdc8f8, 0x651e9ade, 0x199e3ce1, 0xe09179b6,
+    0x3a91b7d0, 0x84843bf4, 0xaa6707e2, 0x47b9ea85, 0xb029686d, 0x25048dfe, 0x13358d1f, 0xdd5efc66,
+    0xedbfa6d6, 0xd623339b, 0x3051d63a, 0x309752f2, 0x8c40c048, 0xd02bc8f3, 0x62e2db93, 0x3b7735eb,
+    0x7169fdc8, 0x802eaf73, 0x98829ac2, 0x8ca4c568, 0x3f51a073, 0xbc26d11a, 0x5bded4c3, 0x52d3181e,
+    0xa594be4c, 0xe78b55ec, 0xdd018d5c, 0x114a35ac, 0xbf44df0c, 0x8dfa6a12, 0xac9d5c27, 0xd7daab31,
+    0x46cbce57, 0x69c3c50c, 0xc758f7b7, 0xc701087c, 0xb223e1fc, 0xcdc79020, 0xec0c5552, 0x5e0cd3cc,
+    0x804dbd8e, 0x23ef4895, 0xe292c5db, 0x485e21c7, 0x38d25210, 0xcee8be09, 0xd83fa620, 0x7c239bd4,
+    0xdfde2f66, 0x894b3add, 0xafe02aeb, 0xc65425d4, 0x58274c36, 0x6142e06c, 0x174b2739, 0xbe132bb1,
+    0xfc4a3aed, 0xbc5bb2f3, 0x3159500c, 0x17a12939, 0x214cfeab, 0x5d19a199, 0x3bcabb33, 0x5c500a3b,
+    0x5882fa23, 0xdd713cd6, 0x9b41176b, 0x934fe4b6, 0xd75e2a98, 0x9221cc45, 0xd188f59a, 0x51156507,
+    0x2b74513f, 0x4ba9ea01, 0x380550d1, 0x82ac46df, 0x9fe8bbf9, 0xadb451a9, 0xb46bfbf2, 0x26648983,
+    0x2c49b3c6, 0x8d03392e, 0xf649e73c, 0x2e9fc1f5, 0x46370316, 0xce532071, 0x6adea9de, 0x4305cc76,
+    0x3231d451, 0xe4351d3c, 0x2c192836, 0x91a3f1d4, 0x472cb00e, 0x8b4b43eb, 0xd32d8357, 0x5c84a175,
+    0xbe81ba23, 0xff5ce7f3, 0x72126a01, 0x45891b83, 0xa139eec3, 0x60599eb1, 0x15b1d912, 0x7a6c8929,
+    0x27a78508, 0xfcfea7f0, 0xe285e8e4, 0xa727d0a5, 0x55d64c29, 0xea8116bb, 0x0a4fcb56, 0xc8e82dd3,
+    0x00000000,
+    0x402b2e51, 0xb0a1af72, 0x5b1d685e, 0xd1f125f5, 0xf4eea8f9, 0xe833287e, 0x04173c2c, 0x748db564,
+    0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000056784275335594288324165922491250354246378231303696723459\
+                         49142181098744438385921275985867583701277855943457200048954515105739075223552 */
+  { 0x00000000,
+    0x27a81b3b, 0xafe38a10, 0x74ac3a08, 0xded93c37, 0xc0c34760, 0xcf14d615, 0x0caccbc1, 0x9bda96ed,
+    0x1d82a7ba, 0x2df2902a, 0x18c192ce, 0x8a5cd6c5, 0x5abd156a, 0xa04f51a9, 0x0ac30628, 0xd4a62f33,
+    0x5f1120a6, 0x286942cb, 0xd5a24d9d, 0x90723a11, 0xea031f42, 0x0fb8c0d8, 0xb4417f4b, 0x53429923,
+    0x159c46e1, 0xa65f7d5e, 0xdd233d55, 0x887a1b86, 0x475b145c, 0xa5c2cd5a, 0xd61ecb3d, 0x4d779f2e,
+    0x1dbff5c5, 0x54e04c54, 0x4917c2f8, 0x676ca375, 0xf4a8857c, 0xd5b51bf7, 0xe0ab29b0, 0x2ee25b52,
+    0xcf9abe5a, 0x28109966, 0x7c2782dd, 0x8953f1a2, 0x35867619, 0xdf6cd069, 0x785729a8, 0x2666d1e4,
+    0x3bd39f51, 0x23fc3b24, 0x5011759f, 0x062e4c11, 0x11f273d2, 0x8da6e4eb, 0x3657439d, 0x24ec3684,
+    0xa9fcda7a, 0x4fc674af, 0xe5952fbd, 0xd8bb5788, 0xf0a13840, 0xacc19e1d, 0xabbeffec, 0x13d90ba0,
+    0x432f6e5c, 0x1d0eb5f4, 0xee743f59, 0x6798a199, 0x841c6124, 0xcb05c1e9, 0xfcff490d, 0x33c09cbe,
+    0x1f9d6c91, 0x2991a843, 0x14aceb11, 0xce6dc732, 0xc0311e3d, 0x7460f547, 0xed865c5d, 0xe04abae4,
+    0x4300e8b4, 0x211cb2a6, 0xbae0e243, 0xca6527df, 0x4a5d2d8f, 0x943f9063, 0x46c2d6b8, 0x1c87b8c7,
+    0xa96ecbf6, 0x5242f9fc, 0x09dc262c, 0xcd681239, 0xf4d2410b, 0x774a0faf, 0xd3b6474c, 0xe4c574c7,
+    0x6426ed2e, 0xefeba98c, 0x8df7cce0, 0x193043a4, 0x4db1e3dc, 0xc2cfced2, 0xa0097a0d, 0xaec7b8d0,
+    0x22d01732, 0xa27e34ba, 0xbbd31fee, 0xdf2e82db, 0xec120a9e, 0xab6bec0d, 0x69615adb, 0x1b313316,
+    0x0906fcc1, 0xff7fd9d3, 0xf98039d9, 0x255ff495, 0x5e61e9bb, 0x6f04e725, 0x68ccf3c1, 0xa27017c9,
+    0x67e8715b, 0x23217ed1, 0x71841975, 0x8463dc58, 0x8509d51c, 0x1eed4401, 0x70bd417b, 0xdbdc0d98,
+    0x41da6248, 0x8766eb38, 0x1679e0bc, 0x10403b59, 0x3f186229, 0x9f71f219, 0x3ee376df, 0x24615ebf,
+    0xc140a2f9, 0xc37d33ae, 0xcfe5c5f9, 0xf507e945, 0x17aa2648, 0x0a17e613, 0x8d65d838, 0x0643df61,
+    0xe5fe2e44, 0x50dc9ee4, 0xcfaf88f5, 0xfb69849a, 0x61532740, 0xcb6a1c5c, 0x3277607e, 0xc08b3138,
+    0x48c1ccb1, 0x48bbc330, 0xbe7baf3d, 0xdc30129e, 0x0f0864f4, 0xe6392184, 0x5cd8090c, 0x00ff1c2c,
+    0x2d5657bb, 0x7f43c9af, 0x03bc54ff, 0xb27ba74b, 0xb910c5e3, 0x037a59cf, 0x0da40a0c, 0xe58b0133,
+    0x76ecfa7e, 0xfa41cfac, 0xb3eb5d16, 0x5a48744f, 0xfe8acb33, 0x4be7d1f8, 0x3d78d5dc, 0x2a1e14d8,
+    0xcabaf0a1, 0xf82b6126, 0xb9b7406e, 0x5f288a4d, 0x4ea80f6a, 0x4e9f8d38, 0x0bbb86a5, 0x65f26340,
+    0x59815519, 0xb41ce6d0, 0xe513288c, 0xde58629e, 0xcf3f876b, 0x8deec5dc, 0xae88699e, 0x9f643c30,
+    0x0a2d1947, 0x93e07a1b, 0xc9017bf8, 0x7fe9f747, 0x8c752ed8, 0xd54def24, 0xfb7b95bf, 0x31e9f1cb,
+    0xa9221d5c, 0x4f38593b, 0xfba28ed8, 0xaeffbc06, 0x3ad91bb7, 0x1fc4948a, 0xe7857714, 0xd83e4de6,
+    0xa24aa4c0, 0x8248e92f, 0xad57321b, 0x75e26a4b, 0xd8c16cd6, 0xdda9f868, 0x7f4edd28, 0x14fb9503,
+    0xf3dc0afc, 0x095d7c37, 0x61a7f608, 0xb98d9d49, 0x9418602e, 0xc0b6b349, 0x2fa1faf3, 0x334cbe5c,
+    0x9a165592, 0x273d36f8, 0x87526471, 0x99aa06a1, 0x30d515e4, 0x71c9d218, 0x900fa23e, 0xa4ad6ee6,
+    0x157f1662, 0x484ecb07, 0x0d81ff96, 0xe89c76f3, 0x7d56fd43, 0xeb8a1d5f, 0x2f6d55a7, 0x61a6aca1,
+    0x6c683416, 0x8419bb07, 0xb94b2223, 0xc43cc158, 0xaf4cb2bd, 0xa2c5ba78, 0x7d90ddd0, 0x524b68da,
+    0xaf283bed, 0x766e2c18, 0x1abaafbe, 0x7d8e4ba2, 0xe1f5827e, 0x92c87f99, 0x44acacf6, 0x28669fb9,
+    0x82a74847, 0x204913e7, 0xa261943f, 0xe0471853, 0x20ecec0b, 0x40202036, 0x4e45224c, 0x18c13d5e,
+    0x7f3b271b, 0x459dd096, 0xfe1f1fc7, 0x463a1e2c, 0x22961a7e, 0x31dda4b6, 0x99e11d48, 0x6a9a6a29,
+    0xd9ceed4a, 0xb86532a6, 0xa9f80218, 0x95124b8f, 0x86bda4d4, 0xb8391b93, 0xb4f91add, 0x0796a24c,
+    0x12218281, 0xc48e3152, 0xf3a1bf01, 0x78d34c77, 0x76600171, 0xd853f01b, 0xeb1f75fa, 0x7c74b971,
+    0x1b5d099f, 0x5aec65f8, 0xbdaaee03, 0xcc99dc4f, 0x463bc763, 0xeb0d45d3, 0x083d4daf, 0xec34f37f,
+    0x0f4079cb, 0x8605f795, 0xa3a68821, 0xacfc8ae7, 0xf501c0a1, 0x46493a62, 0x221b339c, 0x2a508a6d,
+    0x21169e4b, 0xb1dee0c2, 0xc49fbfbc, 0x3ad1be8c, 0x37398ec9, 0x9bafa0a1, 0x8e2a7798, 0x34f86d51,
+    0xcae922b4, 0x71210d85, 0x13c46d8b, 0x7adae96b, 0xfd1c5bef, 0xe04eea0c, 0xff3dcff7, 0xb5f6dfe1,
+    0xf99d0452, 0x4eb15505, 0x42a74183, 0x191d75ba, 0x67fab31b, 0xa6735f1e, 0xa967af8c, 0x8558f340,
+    0xddbf41e2, 0x5e433b57, 0xc2e7b88a, 0xc7453f6e, 0xd580f711, 0xae57c3ac, 0x2246327b, 0x7a8d1045,
+    0x37971684, 0xad09999b, 0x8e4b3e11, 0x9e2a364d, 0xecb2bde9, 0x65cd0688, 0xdd0869ea, 0xbf3ae65a,
+    0x2c5a3060, 0x9e09e1fc, 0xd1d4c004, 0x99a24ca5, 0x386a1b46, 0x44b315b7, 0xf4964c0c, 0x907cf82e,
+    0x29b734bd, 0xc8e42b56, 0x1a74fa80, 0x123c41bd, 0x626a01b9, 0x8af1d415, 0x31de090b, 0xaa4c8664,
+    0x945fcc7d, 0xe13e696f, 0x4725c8ec, 0x5a918df0, 0x54770648, 0xcd0b8ea5, 0xfb0d1faf, 0x86189253,
+    0xd54be81b, 0x12557e39, 0xccd17ac5, 0xda1b6c51, 0xd999efd6, 0x6eb261d7, 0x72408125, 0x5cad005b,
+    0xca113e46, 0x05a78e6d, 0x1b3ca659, 0x55f9619f, 0x1fcf2889, 0x5d424162, 0xf3e261e0, 0xc0e1afb1,
+    0xd4b3848a, 0xaf5c6425, 0x244dbd65, 0x3d614516, 0x6c8f299a, 0x00d07abd, 0x07072e03, 0x9fe3eb45,
+    0x8ab3ecaf, 0x8ac2fe68, 0xde57d8be, 0x578fd515, 0x429eda9b, 0x20c91b1d, 0xfb8ee889, 0x7904779e,
+    0x44370caf, 0x693441a5, 0x497e07e1, 0xcac9e064, 0x2a54a9da, 0x052b8a4f, 0x1f7e0aaa, 0x75fe0063,
+    0xd2178fb4, 0xc6e79b1b, 0x4ec4499f, 0x02716150, 0x4c7b087d, 0xe3495eaf, 0x7786fa8f, 0xa5ee207f,
+    0x1bb218ff, 0xf342accb, 0xa2495f78, 0x2941b940, 0x13bc5577, 0x6725180f, 0x4789b531, 0xd828ff75,
+    0x431d434a, 0x0e390f76, 0x42f03e88, 0xff749dde, 0xe4aa70bf, 0x4b2bc243, 0x038f802d, 0x6372ba89,
+    0x0a302143, 0xbfee1d0c, 0x1787271d, 0xeaf9ed30, 0x6d227e8b, 0x57c0b75d, 0xffb726a0, 0x37a6f379,
+    0xdd126e23, 0x7e19fa66, 0xa4dcfe97, 0x3c4f7f3a, 0xb8ebbe2a, 0xd4453698, 0xd0b90db1, 0x0e670cd6,
+    0x19e3045c, 0xc7d06d43, 0x4387dda9, 0xbbd64d15, 0x765a42d8, 0x71b84ff6, 0x42bb7d63, 0xf1debc43,
+    0x3d2a5b01, 0x616d175b, 0x0a6ee21a, 0x35f08d88, 0x40a7acc3, 0xe44e2e85, 0xb544cb2f, 0x8c49e168,
+    0xee1fd4ff, 0x03be7727, 0xeab12b9f, 0xa1e1bfc6, 0xf969fe49, 0x60cb5d61, 0xcac6f602, 0xe299877e,
+    0x5cd6c16c, 0x1e605ce9, 0x0cfddfbd, 0xca30065e, 0x2f6f4bfc, 0x4ce8e1e8, 0x9e715ca2, 0x872b9f0d,
+    0x10224cec, 0xd8f861be, 0x6cd59ef2, 0xc26944d9, 0x2d08075f, 0xc046f35c, 0x811dce65, 0x7adf719f,
+    0x02415fe1, 0x9e8dbe74, 0xbc89e034, 0x94651481, 0x07d88332, 0xce9c1cec, 0xd5524680, 0xa4a6f261,
+    0x2989c806, 0x52d4a0df, 0x7d853c88, 0x3a8b89a3, 0xd9ed0389, 0x36f410f6, 0x13a43916, 0x656690ad,
+    0xc8d9b3ba, 0xd37836b7, 0x41bdc924, 0x7da2208e, 0x6fe8abc1, 0x2474ea7c, 0xd89c3e4a, 0x61a2dc75,
+    0xc2dd118f, 0xc72349da, 0xc750c6a5, 0xf58dd82d, 0x187b6fba, 0x3b642b4f, 0xcce41010, 0x937bc16f,
+    0x4aa933bf, 0x54c21242, 0x58346eb1, 0xc6eb260a, 0xe6dd3938, 0x2337b836, 0x67bad43f, 0x5d52e952,
+    0xdea81d7f, 0xa55cc5bf, 0x317d6e2e, 0x5a1cbbdd, 0x2c4a6651, 0x29c49b44, 0xd46f8348, 0x22bc7bff,
+    0xbd746f6f, 0xd8eb20fa, 0x53e779ad, 0xeaa8c01e, 0xfa9d9858, 0x2b248b9c, 0xccc1bfb6, 0xb79c658d,
+    0xb227cf1b, 0x572a2c81, 0x546a3979, 0x4b3f27d6, 0xecf0e016, 0x42f0d615, 0xfc1ff508, 0x55dfeebf,
+    0xbbf3d938, 0xa92ba25a, 0x7b0e849b, 0x7b096c36, 0xf64556ac, 0x5c3d87d4, 0xd9e9d144, 0x089792f3,
+    0x0b336fb0, 0xe9473974, 0xbaf634ae, 0xbe243868, 0xfa8b32e5, 0x74a63adb, 0x495bb225, 0xc9f72517,
+    0x27ecb46b, 0x831c4231, 0x3ef36545, 0x3f41ce83, 0xe5bcfcda, 0xf3151863, 0x7d3b043b, 0x17c71a49,
+    0xf3005098, 0x067f2392, 0x036c12bd, 0x43e683df, 0xc03914df, 0xd0cdff71, 0x6a36eb1f, 0xa82e0fea,
+    0xabb80d22, 0xaf2c2523, 0xec1068a4, 0xb3e336b2, 0xc8d00dd8, 0xe8d002d9, 0xd139cd4c, 0x7f55e8f1,
+    0x8b7514ae, 0xe9e46970, 0xb929394b, 0x9870e69e, 0xb57cd681, 0x43bac9ff, 0x89932b6e, 0xff98f3ad,
+    0xa7c9ae14, 0x19a57170, 0x7154f5a3, 0x992737a9, 0x060ad85a, 0xf0d5aa79, 0x09af120a, 0x5f0324ec,
+    0xee3317a2, 0xc5e851de, 0x99e4a1d4, 0x60d22b7c, 0x3ce58c01, 0x4c519b00, 0x3d2d42e8, 0x96ad9516,
+    0x03673210, 0x30646787, 0x956fad67, 0x170132ba, 0x20903fcb, 0x152ec13f, 0x2b42570a, 0xdb800f97,
+    0x38a59b87, 0x0ef36fa7, 0x5c91a32d, 0x7db37c70, 0xa89a1d5b, 0x13c6d5d2, 0xf31d9fc7, 0x723c6210,
+    0xfce8a695, 0x8b178375, 0xad6794ed, 0x2be15f84, 0xc7f81027, 0x8031fee6, 0x650a0a48, 0xe2ae61f1,
+    0x509fe50e, 0xa52e5a6c, 0x2aaf9b71, 0x69d62395, 0xc51a4279, 0x482d5f02, 0x2d6a4c47, 0x2a72d511,
+    0x4ff09e9b, 0x8b2dbf96, 0x0ec66ba8, 0x116ae34c, 0xfa6c9923, 0x334f931e, 0x96b95279, 0x6c57906e,
+    0x698c0e1b, 0x184c7869, 0x30553914, 0xc0dff838, 0x4e430248, 0xfeec4cdd, 0xbc281aed, 0x514aa0fe,
+    0xa30dde98, 0x1855ea7f, 0x20c24bb4, 0x50a759a1, 0xff4e0a90, 0x2fdea8f6, 0x761ed5cb, 0x74e4354c,
+    0x3c1fe730, 0x9c8b4de0, 0xd341dc69, 0xfd4a2d1f, 0xef09867c, 0x0efb4429, 0xc158be86, 0xa63626bf,
+    0xf59b6fdb, 0x501e224c, 0x8cfc1dac, 0x7ecdcfbb, 0x1e15b9ff, 0x6eb37a4c, 0xaed360d6, 0xa710fc37,
+    0xfc9ca205, 0x599fa843, 0x6448245f, 0x698469a8, 0x9e8f259c, 0x0f151db6, 0x6916794e, 0x8bfa3719,
+    0xb1156224, 0x84661671, 0x21b6845f, 0x0a6bf150, 0x254a1adc, 0x1e87592d, 0x9d8d33f8, 0x3341ff38,
+    0x98518fcb, 0x9c18f28e, 0xd44583ab, 0x0c15e273, 0x5290d4eb, 0xf3e73932, 0x5ef4ee39, 0xb9a96fb0,
+    0xc65a7ebc, 0x9b245762, 0x37e1fbaa, 0x1025d605, 0xd90e51fd, 0xff54699f, 0xfcdaab4e, 0x5cc7c890,
+    0x934dc243, 0xdb52af2d, 0x16bfaf89, 0xa54a1451, 0x9b6bd69b, 0x52b21d15, 0x9350a859, 0xc359969b,
+    0xb1dd3a05, 0x8cc61aa6, 0x7e8be099, 0xf9f102ec, 0xfd54e3c3, 0xe35971a2, 0x52d27513, 0x99333629,
+    0xa8d74117, 0xa5b186d7, 0xd9055eec, 0x4ee4fb48, 0x53623b4b, 0x3d714303, 0x027c6fd4, 0x98c9e643,
+    0xbe7bee08, 0x0c7e50b7, 0x5a96735f, 0x1d69d35e, 0xc8b80f63, 0x5d05870e, 0x71e91af1, 0xa50364a7,
+    0xd48693aa, 0xba0a6c2a, 0xc3a4dab3, 0xf27381fe, 0xad6592db, 0xe1ed2960, 0xfafccaf6, 0x77ac7924,
+    0x5449bef7, 0x91f37976, 0x5990946c, 0x6bcf17fc, 0x3aaa67d6, 0x7394ff93, 0xc0fb76c8, 0x95197d67,
+    0x44bf5ac2, 0xefada4b2, 0xb6a8d59e, 0x9b0cf9e0, 0xf20d388e, 0x6ed65087, 0xc5203e41, 0xaf301c45,
+    0x17b183b4, 0xcb3fb4a9, 0x87b1b71a, 0xcf50bdfc, 0x7dc52748, 0xb9bbf88f, 0x3cd733d7, 0x6c703500,
+    0x45e5e2dc, 0xfb21934e, 0xd4537bda, 0x1646cd21, 0x4b621e1c, 0x73a720dd, 0xf9416880, 0xb0ac0f1f,
+    0xe496da8d, 0x0327a4c4, 0x6430593d, 0x99911e2e, 0x6fe97095, 0xc7197084, 0x807a6434, 0x7a2b68c7,
+    0x46dd23b5, 0x2bde8618, 0xe36cd8d9, 0x9323466d, 0x6d1da835, 0xc1af9ace, 0x33321a9f, 0x1164b909,
+    0xfed4101e, 0x2cbb1ab0, 0xc8f96487, 0xe4181839, 0x24602cb1, 0xe6d7ee04, 0xf783175c, 0x51e4ea7a,
+    0xaf79db53, 0xeee0db7d, 0x0b81a077, 0x2540c247, 0xf4348596, 0x4784fc63, 0x14c762fa, 0xc0942cce,
+    0x0ce37881, 0xb7ae4eca, 0x160483e4, 0xd048962e, 0xf078ff17, 0xc7aec434, 0xd139920d, 0x105c8585,
+    0x324994c8, 0x8556a1b8, 0x1c54bc07, 0x840e2e4f, 0xbc599199, 0x824dc784, 0xc2c77907, 0xfc5d29af,
+    0xba268539, 0x84b20176, 0x1e10d763, 0x8b7098fa, 0xb41623d7, 0x7c56cabe, 0x2c0a639c, 0x40833bbd,
+    0x5410d848, 0x65bd7c29, 0x1847ee01, 0x30ff0175, 0xb27d7efa, 0x3af84b2f, 0x9faff55c, 0x628341a4,
+    0x4879ffde, 0xf45d8149, 0xb71a94d4, 0xaa8c04dd, 0x9362cc16, 0xabf25391, 0x6beefdb5, 0x3d99cd06,
+    0x902d712e, 0x601bc0eb, 0xdf9f2cd9, 0x90c71bee, 0x0f368e9b, 0x754c214f, 0x054290e0, 0x6e6f6b7d,
+    0xaf8d2018, 0x261155a6, 0x975ed5ff, 0x31d84d30, 0x6f18af64, 0xaf3bd257, 0x2fa3117b, 0x01af8763,
+    0x50fd59b6, 0x5819ec13, 0x30af07a0, 0x1ff90bc8, 0x58691340, 0xd296554d, 0xf8bb42d2, 0xa6763ec5,
+    0x41443889, 0x6e7d3b75, 0x5a39b0c2, 0xd1c41ecd, 0x844543ee, 0xe06d2a7c, 0x1723c335, 0xf696b9f8,
+    0xb7f50830, 0x3f94d944, 0x22f161e2, 0xde5fc52d, 0x2cb7fb2c, 0x07d3aa83, 0x764a0c37, 0x09cd50b7,
+    0x215de1b2, 0x14cb582f, 0x19aebc71, 0x6a7b8341, 0x82093073, 0x49b9d3db, 0x0d8fcdc2, 0x1efe4c1e,
+    0x46994bc2, 0xc90bdfae, 0xba3c7988, 0xc9c9ded3, 0xc86b475c, 0x0656d93a, 0x3c4ba9ab, 0xc3ee3b12,
+    0xee5acc8b, 0x2eacfeab, 0xd6e85c4f, 0xed6902e7, 0xa1351ebb, 0x58614c8d, 0x434bc404, 0xadc9f446,
+    0x0c31e37f, 0x02c5bc00, 0x35a66c3f, 0xf92e7c07, 0x7d841698, 0xc01879a0, 0x0a6cf8f1, 0x084b8629,
+    0x069adfb5, 0x65618d14, 0xdbf63ff0, 0x7ef1d63b, 0x66ffacd2, 0x33b4bcf6, 0x14b2ee46, 0x0754ffe0,
+    0x933588c7, 0x2c4934e0, 0xbdf4494c, 0x8a587c06, 0x67d49817, 0x4401cc37, 0x1be36ff1, 0x47e9ac7b,
+    0xeaf9dc74, 0xbabe11ec, 0x4ff34200, 0x07162fa5, 0x05585140, 0x92565d17, 0x21d9273d, 0x013f94a0,
+    0x9de8f712, 0xcf3cb356, 0x1c90c78e, 0x42fcbe0f, 0x1f547f68, 0x71ada93e, 0x6a83ad35, 0xbf8fe5ed,
+    0x742e0a6e, 0x1d4033b0, 0x76f08415, 0x516bafc4, 0x234cdb09, 0x3ebfd6f2, 0x97df99ac, 0x6b8e1ca1,
+    0x9a56e70d, 0x64845039, 0xbf298eb6, 0x358eaccf, 0xf3335b9d, 0x165362f2, 0x45168a9e, 0x428acd18,
+    0xef60b849, 0x6d40b7b9, 0x22761069, 0x7ff51096, 0xcd8ae7ea, 0x899d7734, 0xd4fbd999, 0xac0c02a4,
+    0x1dded986, 0x9b64d93a, 0x0676942f, 0x08675bed, 0x20230ef7, 0x9e5141e9, 0x052fcb18, 0x7befe51e,
+    0x7d6cf0d8, 0x9e94e7ea, 0xb42973f1, 0x75fa0fb5, 0x7d9dfa63, 0xd0b1a88f, 0xb5ad0a2a, 0xa05cc43c,
+    0x00000000,
+    0x20159728, 0x5850d7b9, 0xad8eb42f, 0xe8f892fa, 0x7a77547c, 0x7419943f, 0x020b9e16, 0x3a46dab2,
+    0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000028392137667797144162082961245625177123189115651848361729\
+                         74571090549372219192960637992933791850638927971728600024477257552869537611776 */
+  { 0x00000000,
+    0xc69126eb, 0x1eed7110, 0xbd8aa05b, 0xebfe9170, 0xe0a0d76e, 0xe8136190, 0xc697c70c, 0x22c05d58,
+    0x2fe35393, 0x3e9764a7, 0xeaa694c8, 0x32f8e223, 0xfb43f838, 0x4c9259f9, 0x006bfcda, 0x2a95acd4,
+    0xec2d099a, 0x22d65b9a, 0xe9709ec9, 0xe21f0e81, 0xc5151867, 0x60b63dab, 0xd5e5dd0a, 0x5e045ae5,
+    0x31ceb7fb, 0xadff7753, 0xdf733de3, 0x0c0815b6, 0xd91b4aa9, 0xab5fe499, 0xcca6e275, 0x00801a76,
+    0xa9981374, 0x4d197851, 0xa46b440a, 0xc93b6f22, 0x4a4f6e7d, 0x527620d4, 0xb6431bc9, 0xd5b3c030,
+    0x86613083, 0x02e50c28, 0x1c3e42b5, 0xfcf92b4b, 0xdb02d628, 0x50efef21, 0x2dfc528f, 0xa1d9200b,
+    0x68fedccc, 0xfdcc0375, 0x62bd53b6, 0x7e816062, 0xdf12802d, 0x5ca07260, 0xdc58665f, 0x6b8eb38b,
+    0x0bce7ed3, 0xc0a32252, 0x6df7e117, 0x3bf907bb, 0x53b645a7, 0x4e1d6ce9, 0x854ae617, 0x4467c587,
+    0x9c18eee4, 0xfc530ad5, 0x8817efee, 0x892f048e, 0x18980ebe, 0x3b138959, 0x27b20079, 0x9c2b7dce,
+    0xed36e49a, 0xc970f08c, 0x00ec2709, 0x5765a0f5, 0x695250aa, 0x4c9b1d59, 0x90610e35, 0xa2ab63eb,
+    0x4bce407e, 0x2e31ebec, 0xbb62a3a0, 0x3ec5f2c6, 0xa6f6a4dc, 0x0f64b0e3, 0x44f209fd, 0x5358ca53,
+    0x69e780cb, 0x76aee8a5, 0x608a1a8f, 0x621c676d, 0x4fe2c4da, 0x9119d888, 0x5b6a4251, 0x3b2b54bc,
+    0xbfc603fc, 0x4cf32f25, 0x3c1ee12c, 0xd4430e7b, 0x8d1c48a3, 0x3f576bfb, 0x152ea1e8, 0xa3387882,
+    0xe0488a3d, 0x41e1c221, 0xd26d2e95, 0xbe0dc48d, 0x185ef5c7, 0xc4cf8002, 0x5a9570e3, 0xf05d06b0,
+    0x961029d1, 0xd9d97c70, 0xfbe42248, 0xc034a5a5, 0x141f93c7, 0xf8fe7b02, 0x598bfd33, 0xa21d3900,
+    0xf1e225a1, 0x7467d4ed, 0x8e79fb3d, 0xd9fb7817, 0x6f100eb7, 0xf96bff78, 0x52f0069f, 0xbe4c9c23,
+    0xf91042e5, 0xc776a211, 0x9ae99ba7, 0x259f89a2, 0xa7fe3bd9, 0xc0872791, 0x85c39910, 0xb32fd04f,
+    0x51fa3440, 0xd452bb89, 0xe7fa79dc, 0xb2ee0bc1, 0x7e4d2134, 0x22b373ad, 0xe7e18c21, 0x3683ee48,
+    0xc72d70e2, 0xd2246221, 0xda9cb6e4, 0xdb1b7335, 0xfe974a8c, 0x72be330e, 0xec4e298e, 0x23c12c2f,
+    0x8583b2eb, 0xed045ee1, 0xb0e76b71, 0xa0ec377d, 0x7da28a2b, 0x3e8f6413, 0x08b3348f, 0xc8ab7307,
+    0x449a873a, 0xf6a53108, 0x8d5962e5, 0x16fedbd8, 0xf12cad3b, 0x6210cb20, 0x78ae4d8f, 0xc7e65b8f,
+    0x4f853138, 0x6c9f14cf, 0x3e8caac4, 0x14cb5cec, 0x33a9cac2, 0x29c5b97f, 0x6783e116, 0x00e72592,
+    0x5e089bb6, 0x19c32789, 0x023bedc2, 0xebe37b25, 0x6047b922, 0xb79ef171, 0xcfdcc984, 0xc1db61f2,
+    0x62914518, 0x838241eb, 0x39456405, 0xde253d5f, 0x8df7de73, 0x76220948, 0xb5b30dd1, 0x56c2cf93,
+    0xc43e0af9, 0x301a9a6e, 0xc6a04748, 0x2d0eafb3, 0x65680234, 0xd2abe08d, 0x17bc4c5e, 0xbd5a0d17,
+    0xa49ae4f5, 0xdd36f7bb, 0x091baf2e, 0xc6afab52, 0x5c2f770a, 0xc9e71c1e, 0x9ee84cda, 0x7130c143,
+    0x11ac3b81, 0x5d208706, 0xb33b8af3, 0x36fd382e, 0xb5dbef84, 0x2da7f801, 0x3f2de396, 0x63498692,
+    0x019f29ee, 0x60613929, 0x6fcf4d7e, 0xcba2546a, 0x7a126cb6, 0x0dcb30a7, 0xeccdc812, 0x0f59cbd2,
+    0xccf64d0b, 0x561ace92, 0x95f0bbaa, 0xda3142f9, 0xc8f962e2, 0x196bad46, 0xdc2d852f, 0xee172c27,
+    0x9ddf8cf9, 0x9ab64845, 0xb458951a, 0x790a8d2f, 0xdd641f26, 0x16cd08c4, 0x401909aa, 0x019f578e,
+    0x346e2cb4, 0xc9576eb0, 0xafbc89a8, 0x22da1319, 0x64cdc061, 0xdfde4ddf, 0x41f5a1c3, 0xbf8ccbb9,
+    0x36e32ed3, 0xd746e8d9, 0xa8bd9049, 0x507346d3, 0xfec35e5d, 0x844eb320, 0x0af65814, 0xcc2e2f5b,
+    0xafc52a13, 0x3ebdc832, 0xf4df231c, 0xccf44fe2, 0x4a2530a4, 0xac49cb78, 0x8639d1d5, 0x2aa975d5,
+    0xbcf5ad9c, 0x373ae581, 0x28a09576, 0x350f6117, 0x9cd3f813, 0x7b53e3fe, 0xf29bc61f, 0xe103dc8b,
+    0x8b79784d, 0x03ee67dd, 0x307976eb, 0xf2f78329, 0xfb1a636d, 0x61d53258, 0x2f25665c, 0x4b9e21c3,
+    0xa8ad666d, 0x5cf7652f, 0xdec3708d, 0x4c3b3431, 0x550f9d84, 0x4e80686d, 0xfbc4e112, 0x583c62a5,
+    0xf84e6c2a, 0x25483b80, 0xc5d04570, 0x11477d71, 0x8cd2d7d2, 0xd5b5d755, 0x3dff8168, 0xe9cc1817,
+    0x8234cf56, 0x58252702, 0x10b501ac, 0x0709abe3, 0xfdeb0ddf, 0x5e88c9b6, 0xfa297ff5, 0x60f9b64f,
+    0x14b28d79, 0x773b2469, 0x8155b09c, 0xbb0dd287, 0x1f97aef7, 0x87370345, 0xb0ca3acf, 0x05969c90,
+    0x268e1877, 0xaa9011e9, 0x4c050403, 0x5e9dff77, 0xa6476bb0, 0xc9e4698e, 0x3b7132d6, 0x482ca018,
+    0x1c10a8e7, 0x2841fdb5, 0x66bc1622, 0x0f8aa8e9, 0x40f81ac7, 0x2a95f9a2, 0x1aab1dbb, 0x2f3a2cc9,
+    0x7b2d13fe, 0x54338c28, 0xe44e5db6, 0x2e3331ec, 0xc048fa9e, 0x4d4bfd26, 0x5daa31da, 0x9edf3ff9,
+    0x8600946c, 0xa31b9b33, 0x2d03604f, 0x750ce22f, 0xd26aa008, 0x523f1659, 0x1c721450, 0x2149dbef,
+    0x4a93908b, 0x544ef75b, 0x119a30f3, 0x57df5d44, 0xdf2ec052, 0x3755375d, 0xd53c591e, 0xf82d7439,
+    0x72748481, 0x58dd5dfa, 0x99412c2f, 0x06220d09, 0x651a0481, 0xb265a06c, 0xb7f076a5, 0x85e79a78,
+    0x2d9eb1c7, 0x1f5781ba, 0xa09ce6a8, 0x339abcdd, 0xd8411ea3, 0x60f611eb, 0xb8ee9de5, 0x5aeeedbc,
+    0x41a4bb23, 0xbe03e7da, 0x0031afba, 0xa3bca8f3, 0x57285ab3, 0x1352f843, 0xe78a55f0, 0xcaf26abd,
+    0x83333e76, 0x97800de3, 0xb90a90a0, 0x70e89d65, 0xc3cdd2d9, 0x4a74b417, 0x0918e82f, 0x4189ea17,
+    0x1a4ff61d, 0xda65f68a, 0x9b45e9af, 0xbaec3a97, 0xbc9d329d, 0xc982e0dc, 0x9f78025f, 0x84fd3eea,
+    0xf4d93182, 0x38437bb7, 0xfe6da4d6, 0x8d22b188, 0xf7efd916, 0x1c327162, 0x4ff3f566, 0xfd01e5ac,
+    0xe537fd11, 0x555808fe, 0xb719c260, 0x53ea9fb3, 0xd6d1a280, 0x60e2146a, 0xa6080c1a, 0x9bc73414,
+    0xc3fdae4b, 0x2e4a8e3c, 0x937132cd, 0x1e5a34e1, 0xa6f664aa, 0x9d285dc7, 0xd6aefde0, 0xa01fa099,
+    0x3b2ec43e, 0x0fe7f7c4, 0xc5026d01, 0xa3a40135, 0xfdbbe08f, 0xe2aed130, 0x06ec732e, 0x954f0335,
+    0xc34168e8, 0xc390d30b, 0xf5f31bdd, 0xeaed71c8, 0x5b26a73e, 0x06860696, 0xf76fd766, 0x7e8e017c,
+    0x5a112116, 0x152eca81, 0x623d314c, 0x751cd4c2, 0xec1845d2, 0xbc0c8a12, 0xe2f18875, 0x405230ec,
+    0xa3c85285, 0xdfcd2ab3, 0x7b738c7c, 0x3b8f9ef0, 0xdb31efd8, 0xd1917c74, 0x61426df2, 0x0d0e1db1,
+    0x216f597f, 0xa3d37bb5, 0x43903695, 0xf41c673a, 0x6195507e, 0x0815c2e7, 0x1da29fab, 0x92b59cde,
+    0x9cde5711, 0x544c1a6f, 0x48a3c9da, 0xc4fcc8a7, 0x0cb6c2c0, 0x87cd3efa, 0x7fdfaac8, 0x6c1225c6,
+    0xfe921c84, 0xc9d6e16e, 0x4dfe1e32, 0xf78eb50e, 0x26dcafa4, 0x7450b566, 0x880f3d3f, 0x97036c22,
+    0xbc44f73c, 0x13ec6467, 0xc22d9be7, 0x571fbf4a, 0xd7f550b4, 0xadd36b46, 0xbf33023d, 0xb96cf2f7,
+    0x31fd3405, 0x51c2721f, 0x05ee4bc8, 0x674669bf, 0x4e300f9e, 0xdc66339b, 0x15c8ebb1, 0x0cf06748,
+    0xac677c0b, 0x02aea07f, 0x2a145d67, 0x09029367, 0x91a35880, 0x0e051795, 0xb4fe7dec, 0x55cd8ad4,
+    0xcc60474f, 0xd66b3946, 0xd44c0dbc, 0x4010f07b, 0x4607cc3c, 0x8cc41983, 0x6ba0dea5, 0xdfbdfa6d,
+    0x44b1cde8, 0xbd51e039, 0x4c04a9f1, 0x879bed58, 0xdfa0ab4a, 0xf05737f7, 0x174b64cb, 0xcc7e92fc,
+    0x2811fdd7, 0x4b540bf5, 0x2a7006eb, 0x9e47fff6, 0x886a7776, 0x946cab47, 0x775af155, 0x81a28638,
+    0x2cb81c0c, 0xff7b28ce, 0xd6e8744b, 0x7829cfbd, 0xed46f68b, 0xad67fc29, 0x997802fe, 0x5dc8794d,
+    0xcdd73bc5, 0xd9db279f, 0xeaff9f14, 0xb2f2a2d1, 0x22029041, 0xc2592bc6, 0xf98a3f47, 0x30c6ec3f,
+    0x4738996d, 0x350b137b, 0x3ee9cc86, 0x139ee072, 0xd4a1b027, 0xef8a2345, 0x8838b3c4, 0x4858090e,
+    0x526cd3ed, 0x10e201ec, 0x8acbfb82, 0x958df8ce, 0x6ad41fab, 0x619c4153, 0xb55be010, 0x6ff0d86d,
+    0xd2806166, 0x627647a4, 0x8ceba5a9, 0x6d029feb, 0x17ee3e97, 0x93232b8c, 0xa10d2ab7, 0x49f495e3,
+    0x8db759b8, 0x7184afee, 0x2050643f, 0xeb875b1b, 0x68d0b411, 0x1999225e, 0x32fb023e, 0x14d39c5c,
+    0x96b64fca, 0xe331c097, 0x8b39c2fe, 0xee3efd90, 0x43dce178, 0xeef5731f, 0x5820dd12, 0x33a0e3f7,
+    0xa09507cc, 0xd71be86b, 0x3058fa62, 0xf9c9bae8, 0x812b7497, 0x6937d232, 0xa7e0c948, 0x2e07894b,
+    0xec569a19, 0x422d679a, 0x8b728419, 0x3e88de66, 0x79728292, 0x85464db8, 0xa3b3b878, 0x599eb2b3,
+    0x91617b76, 0x3220ca7c, 0x3dcf7dc0, 0xb72f7864, 0xfcadb88d, 0x33867fdd, 0xd17f6814, 0xb8cee4b2,
+    0xdd0f1151, 0xdedd46a4, 0xde542104, 0x1eec1b68, 0x6f011e1e, 0x9ca13fc2, 0xf9cd9562, 0x697102b8,
+    0xbaf3e315, 0x4fe55328, 0x6e71cc5e, 0xee943b41, 0xb6c564f3, 0xe3adf167, 0x88928d1a, 0xc5b62036,
+    0x75a09ebd, 0x81951916, 0x8759efd9, 0x2aaffd2d, 0x7e139fd8, 0x35ebe64c, 0xb7a0da10, 0x2f32b790,
+    0x323877a0, 0x64c55f2a, 0x7bd55804, 0xd99a8729, 0x8c1a6d15, 0x8bdde998, 0x21b51526, 0xaf638343,
+    0x9972abf8, 0x68de3361, 0xa0110380, 0xb45666ca, 0x6b057c15, 0xf11840df, 0xd6b8598f, 0x31dcfb9e,
+    0xc09d0c94, 0x99ca4506, 0x4a9677ae, 0x9256744f, 0x8e663c31, 0xf9af3bef, 0x95988e33, 0xbd679410,
+    0x440a7938, 0xfa017c20, 0x54037034, 0x0434bd63, 0x0e34da37, 0xf724468e, 0x76deb9dc, 0x22e6046b,
+    0xdaa26c7d, 0xd4ec124e, 0x3d587a45, 0xe3c1494d, 0x55c0de58, 0x451e7785, 0xacfe2dd3, 0xc9e6a8f7,
+    0x4d0758ca, 0x8351ae1c, 0x218874ef, 0xd48555bd, 0x427ddd01, 0x4229efab, 0x5a64d601, 0x690a403d,
+    0xb24c4b6a, 0x29d21e8f, 0xa355e2be, 0xaadfbfce, 0x96ad1383, 0xf97405f4, 0xe1e250a1, 0x0434efef,
+    0x3206d9e2, 0xd0fec4d1, 0x09170711, 0x413097f7, 0xd1bd78e5, 0xdb5f0dc0, 0x12aa15e2, 0xec5a32ab,
+    0x27964b31, 0xf76aab65, 0x75cdae63, 0x576a9ed1, 0x129080c7, 0x650c4ea3, 0xfefbef6b, 0xb819be56,
+    0x4cd0bf0e, 0x7e8b3a4b, 0xcd732b8c, 0xf5cbab15, 0x5522512e, 0x0cfbc52d, 0xcb6256d3, 0x9d1cf9ab,
+    0xaf8e43b9, 0x6f89764c, 0x8f70e4a9, 0x3e55898b, 0xcb9ecf52, 0xa66b17ba, 0xd992ad77, 0xeff415ce,
+    0xce2aa9b3, 0x4d30c69a, 0x455d6435, 0xd5b25cfd, 0x1c2c148c, 0x9460021c, 0xc02b9f07, 0x9f2b4cdc,
+    0x56379549, 0x275625e3, 0x14742fc9, 0x727c5e17, 0x43539b31, 0x3043358e, 0x20d007f4, 0xe1924ea7,
+    0x78273500, 0x623a895c, 0x6a3fb224, 0x3f83dd10, 0xfa7c0be8, 0x0ef47ca7, 0xea0da174, 0xd68777b6,
+    0xc2b52f5b, 0x883b9965, 0x998d59b8, 0x351e5c7f, 0x655a13fd, 0xb75420e2, 0x674b70c3, 0x894d68e1,
+    0x4ff5b70b, 0x099a4b24, 0x9ff0c862, 0x9251ffd6, 0x9596ea79, 0x8a406627, 0xfb8dd529, 0xdc834b68,
+    0x6ea74f04, 0xcc5cee55, 0x238c58dd, 0xc178883c, 0xb9d58780, 0x8f72bd95, 0x485732d6, 0x20d2a75d,
+    0x5a7edcf6, 0x17c0d537, 0x267eefff, 0x241e9885, 0xafef140b, 0x16829a64, 0xebd20494, 0xe9bd64b6,
+    0x762f17cd, 0xd4dee8ec, 0xebd2a8bc, 0x9b568ec8, 0xd428da4e, 0x057f8e07, 0x56d303f1, 0x8482140a,
+    0x6bd71b04, 0xb8624d22, 0x182f2e26, 0x8cca25c6, 0x3261c623, 0xf1c218cd, 0x1311dcb9, 0x73e74e3e,
+    0x65612ccd, 0xd94f3171, 0xebbdd6c2, 0xe10f3972, 0xa3acc55f, 0x9e6a8e2c, 0xaf33ba8f, 0x271a30b5,
+    0x6b51a954, 0x8d655a7c, 0x13a970af, 0x4fbf5b31, 0x542cd673, 0x710103ff, 0x6fc4d868, 0x67d458c1,
+    0x7b1bd04a, 0x65397820, 0x15e72bb2, 0xd8abb785, 0x83b60eda, 0x262fee40, 0x5afde636, 0x3eedf39c,
+    0xd19558e4, 0x04f8efb8, 0xee681381, 0xeafcdf23, 0x835a2814, 0xe407fc56, 0x1e3a1410, 0x1c49d308,
+    0x3c184256, 0xbfd60cd1, 0x77545af3, 0x05e5bede, 0x444183d3, 0x00128531, 0x4d46002f, 0x1604eef5,
+    0x5e45ea93, 0xc9827d56, 0x31b6ff07, 0x435a1ea5, 0x899f1ef5, 0xe31cabf2, 0xa98b8247, 0xe59b7118,
+    0x6c4cde53, 0xca5671ed, 0xe8bb0fb6, 0x28f20d66, 0x0a64f2ca, 0xed0ebcb8, 0x4a48f845, 0x9336eb0f,
+    0x16c7c769, 0x365be04f, 0xd99c135d, 0x616c3620, 0x1a196ff2, 0x437a862b, 0xf7729165, 0x9989def3,
+    0xb6ef4fba, 0x1e4df701, 0x4226184a, 0xf8f23c7b, 0xb365a1fd, 0x8d557893, 0xd2125492, 0x2f652a0f,
+    0xaa35dfae, 0xa1321435, 0x685e2948, 0x59d06eda, 0xe5481a65, 0x5501e51a, 0x3cc34436, 0xf6006b53,
+    0xc8f79ae5, 0x24cda44d, 0x4fb2fa16, 0xf7f8193e, 0xaa14caa5, 0x37b5a9c0, 0x091b7041, 0x3ad95787,
+    0xc5ff6b48, 0xba22ade9, 0xbf63db64, 0xb64f5e67, 0xb2089810, 0x924cc9f8, 0xb7acdd4d, 0x2d1a6141,
+    0xfeb4e526, 0xc42adc9c, 0x920756d9, 0xbb1fce11, 0xabf357a7, 0xf0578070, 0x3b140fe7, 0x0915bbb2,
+    0x7785c098, 0x2a1b6741, 0xe61807d7, 0xac2bac7d, 0x04ff79fa, 0x8201bd0d, 0x1b0114b5, 0x1337d829,
+    0x0d538dd0, 0x74d3b1bb, 0x65c95958, 0xeb52bc04, 0xb442a204, 0x40bdfaa5, 0xa7d346a7, 0xbb478a5e,
+    0xb373e6c0, 0x9dfc1ce7, 0x5ff9cbfb, 0x57596fa2, 0x27060c60, 0x55b9dc71, 0xd94cb173, 0x52721919,
+    0x2f10e12c, 0x75bc5499, 0xe2a35630, 0xf408b9c6, 0x5c7eb5c5, 0x63ba0b5a, 0xd35d46d4, 0x4ecadd47,
+    0xc0cb55bf, 0xaf07f9f9, 0x839a042b, 0x70067649, 0x3f4c7e9d, 0xf77ecec2, 0x572ce4a2, 0x77ff7ff5,
+    0xf7abe3f9, 0x392b1b06, 0x96cace66, 0x6d235a0b, 0x15764e80, 0xa1cbcb48, 0x79bc0847, 0x0ded6e0e,
+    0x4a2669ae, 0x4f33038d, 0x026b6ac5, 0x3f1c1f60, 0xa0551bdc, 0x45d721a9, 0x8fcd4c68, 0xc953f4b1,
+    0x6f84e17f, 0x60a86a8f, 0x3a50a66f, 0xadb917e9, 0x35a4bb5f, 0xce912456, 0x648937d0, 0xf4c00416,
+    0x4eb61e97, 0x0033319a, 0xfec21fc7, 0xb89aca75, 0xa4fbab1a, 0x6e94a4a1, 0xe3e260e2, 0x47a20fc1,
+    0x54934ac9, 0x03072bf8, 0x89f10be0, 0xd57a9a66, 0x74fcc259, 0xc1996852, 0xbc7e0829, 0xc34bc2a0,
+    0x0dec5066, 0x0cf45ec2, 0xa71d46fd, 0xfbf871ba, 0xf7ba3519, 0x6c0526d5, 0x7da8e182, 0xf4e274dc,
+    0x0def62ab, 0x0bc2aca5, 0x85b23f10, 0xe3bc06ef, 0xca9d5310, 0xfbab3411, 0x22b8d627, 0xa572ddcd,
+    0xde93ac31, 0xb6519d8f, 0x9766a67d, 0x3b049c32, 0x9677343b, 0xa7dc4840, 0xd0172dcf, 0x391688ec,
+    0x5e10c861, 0xcbb16f3c, 0x82a03000, 0xbbfaef44, 0x5a95f142, 0x1ab3958a, 0xc2109e9e, 0xc22b6abf,
+    0x13c3a75d, 0xed9e0b7e, 0x4f3f8356, 0x91961423, 0xb6b8d6a5, 0x3433f155, 0x6d564194, 0xca9d650c,
+    0x00000000,
+    0x900acb93, 0xac286bdc, 0x56c75a17, 0x747c497d, 0xbd3baa3e, 0x3a0cca1f, 0x0105cf0b, 0x9d236d59,
+    0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000014196068833898572081041480622812588561594557825924180864\
+                         87285545274686109596480318996466895925319463985864300012238628776434768805888 */
+  { 0x00000000,
+    0x1ad7e3ab, 0x3f9590aa, 0xfcfc481b, 0x74eb684c, 0x47ba55ad, 0xa785fc20, 0x7d8ae385, 0x399eee1c,
+    0xa10b174d, 0x3abc9fed, 0x3e9fea96, 0xa56bc654, 0xc2dbc589, 0xe4224766, 0x207296bb, 0xbc500ce3,
+    0xe638760c, 0xbe062417, 0xabcba51c, 0x3760dbc6, 0xf6bb3d1f, 0x6b0e97d2, 0x7acbb8df, 0xed5be264,
+    0x0d6fcc96, 0x6edf5dd5, 0x2ee27272, 0x6a75a4bd, 0x1609eb3f, 0x48fc7fc2, 0x27be8c32, 0x67659abe,
+    0x28c9133d, 0xefdc8796, 0xff3982bf, 0xa9d9fd71, 0xa3dead27, 0xa52748ff, 0x03f57f79, 0x6e29b5ce,
+    0xc500b781, 0x478cd4bf, 0xe00e3594, 0x330b3ca2, 0xed7644c3, 0xda0c97f0, 0x83c40eb0, 0xf5022900,
+    0x9a9fde9c, 0xae64621d, 0xedf811d7, 0xca0245c6, 0xfcac2a0c, 0x09e40d60, 0xf0d79430, 0x01c0592f,
+    0xad47e5e0, 0x23560a8f, 0x34c4819b, 0x5c432520, 0x343be30e, 0x1d6a667e, 0xd00ddeb0, 0x5386f850,
+    0x2ffe1bbd, 0xc89ce6e3, 0xbdec6187, 0xc7be71e4, 0x5f0afd10, 0xfad2f31a, 0x34fa6448, 0x2509a433,
+    0xf38d6ea3, 0xdb52b695, 0x354d6883, 0x96e039f0, 0x75ff7386, 0xe0a862ca, 0x63ca9d58, 0x2915c62c,
+    0xa5ecd3ec, 0x8d281e24, 0x299054f2, 0x1d97cfc5, 0xd0a6e1b2, 0x84402ea7, 0xc0295541, 0x97b78cb9,
+    0xaed8e5b6, 0x052402ac, 0xf05330c6, 0xee20dbae, 0x0122f564, 0xfd3b4bdd, 0x0ee3549e, 0xd0651111,
+    0xa3b1df59, 0x1bbc3912, 0x30874c9e, 0x1f527ed4, 0x53f3f199, 0x8bff31b6, 0x59cb41a1, 0x7bf7bce7,
+    0xe453679a, 0x9778e802, 0x3f550730, 0x24266f6c, 0xd3b4add9, 0x0c91da6a, 0x9d208b67, 0xb1c55d51,
+    0xe4ac81ee, 0x0634fd56, 0xd13a5c59, 0x19e22b6f, 0x5033511c, 0x5ed7bcaa, 0x1f387b2b, 0x5c03e130,
+    0x400ace96, 0xd34a4c34, 0x0fe1fff2, 0xb1816dd0, 0x8c60eadf, 0xe567de54, 0xd62064b6, 0x1d7047a9,
+    0x5914313f, 0xaadc40b9, 0xfbc12d98, 0xa8c634d8, 0xa42589b4, 0xc4924685, 0xbb90dfcf, 0x09d8a0f6,
+    0x5a31f297, 0xf42adc3d, 0x2a54ad8b, 0xdd5c801c, 0x733fd9b7, 0xa255c5f4, 0x458758ae, 0xa88762ae,
+    0x86a9984c, 0x385cf494, 0x88bf05a8, 0x22294da6, 0x4c291c4e, 0x6627db8f, 0xc46d4d56, 0x5262f625,
+    0xcd15a7d4, 0x7da624da, 0x88014347, 0xa2e7bd84, 0x42740266, 0xbf413b65, 0xde8ddbdd, 0x602a884f,
+    0xaeec55dc, 0x18691a5b, 0x71de56b9, 0xed3da0e8, 0x01918782, 0x93cda89c, 0x34e2fd25, 0x56315bb8,
+    0xa903dcab, 0x3f83a87f, 0xad219a95, 0x4bdda115, 0x95af56e6, 0x5b815061, 0x175a3116, 0x1a594ea8,
+    0xb1d56514, 0xd2ddf106, 0xa4491cb5, 0xb1b4d699, 0x9710064e, 0xd1ccb896, 0xe8e71e6e, 0x0d1082c1,
+    0x535891b8, 0x1c33ac06, 0xbd427c90, 0x8b3b3a66, 0x0e45c19e, 0x02c21920, 0xa9fcf761, 0xd6737d3d,
+    0x64def166, 0x8d0067b6, 0x455a2a17, 0xa2f18417, 0xfd4ccf3a, 0xd432dbf7, 0x7af95cec, 0x7d686b0a,
+    0xcc0ffe74, 0xb1877f94, 0xaaa76a52, 0x9fe55b20, 0xe1c43a6d, 0x91fb94fd, 0x55af9d65, 0x4dfff7d4,
+    0x63cac3f4, 0xa04b0726, 0xfcde53fa, 0xe0c274b4, 0xa7b53663, 0x94ad2c3e, 0x96286501, 0x527c2a03,
+    0x69524970, 0xc65fa4bb, 0x0b166244, 0xd6b9b7b3, 0xa8260ef0, 0xa9f98e51, 0x16372d5f, 0xf2c97214,
+    0x1b8ae22a, 0xeab691fb, 0xe1f6f2ac, 0xb57f486b, 0xff660caf, 0x7ea0974a, 0xbb925c84, 0x6091a35c,
+    0x6b234807, 0x553964fd, 0x0bdefea5, 0x9a7e7954, 0x7414b329, 0x65e5d7b7, 0x32cc7839, 0x398d7553,
+    0x2a130d1c, 0xdaaf4f00, 0x164d53db, 0x643306ea, 0xcd2b7dd2, 0x037ee017, 0xb23347bd, 0x571d39cb,
+    0xc075a39c, 0x75e7d3a1, 0xc3006aad, 0xe0d2f0c9, 0xd88c3037, 0xa5661a7c, 0x94e57298, 0x317ad807,
+    0xb85ea3f6, 0x59272b6a, 0x2bbbcce9, 0xfe11b90e, 0xe01e6212, 0x5d367d44, 0xcf8778a4, 0xe17f71fa,
+    0x3b3ada47, 0x7da0d57e, 0xa0edbd4e, 0xd3d24526, 0x522deb9a, 0x7876ee78, 0x8d7e4361, 0x3fe1f1bf,
+    0xd7a35b5a, 0xf88c85e1, 0x6f33074a, 0x988d148d, 0xd03cd552, 0xb4d66ce2, 0xc1a12dfb, 0x8c173ef1,
+    0x36d75ec6, 0x76016876, 0x7a385b82, 0xc9f01d09, 0x3ebf86be, 0xe1bc4f89, 0xe8df05c0, 0x363c70d7,
+    0xcff98364, 0x69552999, 0xcdbba74c, 0x1b4c991f, 0xf388e322, 0x5c007a4e, 0x572f0cf2, 0x08d0eb5e,
+    0x131851d3, 0x0043da0e, 0xae5661c5, 0xa21e2829, 0xb40e768a, 0x945e4db0, 0x7649d4b7, 0x2b39d693,
+    0x398fb3f1, 0xa7d3959b, 0xaa789aa2, 0x9f1a6fba, 0x751fcbd6, 0x054c94e5, 0x86e9d9ff, 0x2938ca37,
+    0x8f74ae4e, 0x9c652e6f, 0x6fb0db60, 0x2969410f, 0x78001324, 0xd3bc3997, 0xa3b97b78, 0xa2e3f9c7,
+    0xbb3056a0, 0x32fe7253, 0xd639a662, 0xf6998576, 0x80618548, 0x1753df54, 0xacd4f18f, 0x830ac421,
+    0x45ed26e0, 0x509b9a54, 0xde4620d1, 0x6f816eb5, 0x0593df16, 0x21008c50, 0x1d0bb8dd, 0x0884517c,
+    0xdd71dded, 0x94fc52f0, 0xf8dbbb0c, 0xacafddd9, 0x87c0c7be, 0x0f1721a0, 0xc25ee9be, 0xac16f803,
+    0xd5872789, 0x6d772d02, 0x3525e20a, 0x206540e0, 0x5fb22300, 0xa4d469c8, 0xd7654eb4, 0x3c253b1a,
+    0x5fb86f85, 0x1650f2b4, 0xaa9fb4d2, 0x1c9fd1d8, 0xe1dc9b0c, 0x5b403d13, 0x73651912, 0x1f5cb611,
+    0xb178cbca, 0x79cec32e, 0x4e08bcbc, 0x1f4ddabe, 0x23187e87, 0x2994b2d7, 0x9d020936, 0x131abc0b,
+    0x58fb025c, 0x43c04cba, 0xc2bdc4b1, 0x0c5c28a6, 0x499da298, 0x2781276b, 0x1f45d4f6, 0x2782f7a7,
+    0x939c62d3, 0xd303a601, 0x4dc86276, 0xa7d80312, 0x73b1b796, 0x63ce3a78, 0x76557d7b, 0xc02ca61c,
+    0x7c09e566, 0x72ccf272, 0x73bf0888, 0x17b65835, 0xdee7b08a, 0x4d1e06f9, 0x81951b55, 0x95c9f1e1,
+    0x3542c076, 0x5169a10f, 0x8e501030, 0x6b49e9b8, 0x7b9530a6, 0x8bc5f50f, 0xbe11884b, 0x9b3356c6,
+    0xae9ab9cf, 0x3a1f8ca5, 0x9ab04cde, 0x87173c97, 0xbd27357c, 0xa1dc6db9, 0x85fa0254, 0x3b00ffce,
+    0x459b81c7, 0xd3673c04, 0x1ee2f849, 0xc95c47e3, 0x37f4fc06, 0x12f88886, 0x8289fcea, 0x8dfb6b4f,
+    0xf41c4fdd, 0x5c36587c, 0xca5908ff, 0xfefe1768, 0x126a3b65, 0xc09a0e44, 0x1dd06dab, 0xecad15d4,
+    0x658a8a2c, 0xc6e6be31, 0x71b2d18c, 0xf2366720, 0xfec8382f, 0x2a614632, 0xd78be59b, 0xa2b89dbd,
+    0x068f28c6, 0xfe8ce829, 0x2249efe1, 0xd697b0e9, 0x33034822, 0x94170ee6, 0xde112fe1, 0xec367218,
+    0xb81090a5, 0x9f5bd89f, 0xc78c2fe3, 0xdc8160b6, 0x2a24c8d2, 0xa468f729, 0x84d01a02, 0x28897082,
+    0x07587a9e, 0xd9c19207, 0xd14e3109, 0xbc9a33bb, 0xd0e19b45, 0x4080007c, 0x996f461e, 0x9d7188f4,
+    0xc4bbc6ce, 0xe13ecb22, 0x9aa3e1e4, 0x012bb241, 0x04b17af3, 0xb58988df, 0x642c8eb7, 0x10133727,
+    0x4675b20e, 0xe8b63d8e, 0xaa55fa41, 0xfa34974d, 0x5ad3f49b, 0x1c4b3dd9, 0xc3443e9c, 0xfac0d079,
+    0x5b50e539, 0xbd7a925b, 0xf10b2971, 0x8ed1d47e, 0x293fc0dd, 0x4f00c7ba, 0x85711405, 0x77db6cd1,
+    0xdd308aac, 0x6645c129, 0xa13f717d, 0x50c5c253, 0x539c0937, 0x74d19aa0, 0x9c823ad9, 0x4492baf1,
+    0x8b889b47, 0x738eb76d, 0x916dbc63, 0xc296737e, 0xefb64b96, 0xa3bac08d, 0xb7dd5cac, 0xba48978b,
+    0x53cf2c4a, 0x4dbcb499, 0x841c0392, 0xa92382b6, 0x39751612, 0x999ca2cd, 0xe4f5f0bd, 0x7081e8a3,
+    0x72004022, 0xe2a432d0, 0x19416ba2, 0x74d84357, 0xcdae41ba, 0xa9a2d409, 0x43964537, 0x44aeb73b,
+    0x3aa1d1ea, 0x6467d74e, 0x569e5378, 0x28b096b7, 0x52b1bf32, 0x8469e698, 0x7282b462, 0x702dce86,
+    0xc3c017c3, 0xc3d317f1, 0x984ebfaf, 0x2abb9aac, 0x37f40860, 0x607a99f1, 0xf9b7a7ed, 0x22d1c792,
+    0x0b9e24ab, 0x17072f24, 0xb0c6485a, 0x85474bff, 0xf64048c9, 0x571f6fb7, 0x0a90d436, 0x4a5fb942,
+    0x29430d31, 0x57f809b1, 0xa0b3ee1e, 0xec4973dd, 0x02d23fa5, 0x11bf3d03, 0xfef3dcec, 0xaad276d2,
+    0xe8f7602b, 0x151e946b, 0x0005e717, 0x3aca904c, 0x3835d3ae, 0xff9fd7f3, 0xcecacaa7, 0x8a40dfa8,
+    0x927e8405, 0xe268aff5, 0xa2c01cd0, 0x51bf1066, 0x5d22fbaa, 0x8ffec4ba, 0xaf0b552c, 0x35a06ed3,
+    0xf88ba0eb, 0x9f242dc1, 0x996a29ca, 0x5fb056d3, 0xd125eff4, 0x3d4a2b03, 0xb9ae40db, 0x8b49180e,
+    0xa46cb340, 0xa1247bb0, 0xfb708076, 0x4779dcc1, 0x56b55056, 0xc74942f4, 0x7c941a4d, 0xca0293b8,
+    0x3017a14a, 0xf8a0b9a1, 0xc92c048f, 0xda3d0f4a, 0x5fd232b1, 0x81f2adef, 0x75020468, 0x7c43d712,
+    0x1154abb0, 0xd30f62bb, 0x5bc9d113, 0x8e4a193d, 0x1a5bd80c, 0x4e68d786, 0x90c81c5e, 0x560c07a4,
+    0x9a863f3c, 0x628c8981, 0x0eef3b8c, 0xc21b04a2, 0x2a37cbfe, 0x70452736, 0x3d786e92, 0x81fc187b,
+    0xda70a1a0, 0xf822e13d, 0x99bd8a4c, 0x7c02adcf, 0xf88a4ac7, 0xd5b2ef11, 0x439157ee, 0x00af8b95,
+    0x7786528b, 0xedaee645, 0xd7edcd5b, 0xfcf3e7ea, 0x5525b64e, 0xcf0ea439, 0x6d4bd073, 0xce3b0386,
+    0xb0ad0ca7, 0x4366d569, 0xc65fefd9, 0xa76f58b9, 0x9cf336c3, 0x18b78a72, 0x287a69bd, 0xb018d17a,
+    0x35e74213, 0xa393b6b8, 0x6c28fb2c, 0xafbeff99, 0x1aaac044, 0x4666832f, 0x9217a578, 0xbf4dc249,
+    0xaa9fde0f, 0xc2fe7771, 0x00dcb664, 0xa179e561, 0x7b5dafa9, 0xbfefc32a, 0x4ca43613, 0x75dfe2f0,
+    0x0f4ef5e4, 0xb2a78475, 0x802c4ad2, 0xa04b52cc, 0x6a5952fe, 0x3e130d23, 0x012bd48b, 0xc0b2f215,
+    0xab9c4334, 0x019c4b10, 0x201e893e, 0xc826c7ef, 0x505bc282, 0x9d6ee655, 0xa847b7e1, 0x978867f4,
+    0x2d9b62ff, 0xf1d016b7, 0xc6926b4e, 0x564bc2cd, 0xd0c6db28, 0xbf683274, 0xe4d10b62, 0xb3f68022,
+    0x018c62b4, 0x0ecd1dd3, 0x83d31c0c, 0xed6ced40, 0xc723b84e, 0x19118edb, 0xe15bbb01, 0x0cb6491a,
+    0x61b73f20, 0xe188387b, 0xb26ff58e, 0x35e919d9, 0x0868394e, 0x0bb5ba94, 0xdcbec447, 0x5cd50a76,
+    0xc3252d4a, 0x2991908b, 0xa187bafe, 0xfc83a0a1, 0x8a5eaea7, 0xf819e0eb, 0x343c8c65, 0x8a68abfd,
+    0x1e4dd77b, 0x17af8620, 0x66c23aea, 0x3bd4655b, 0xf1e0d892, 0x0648f243, 0x5aaed5c5, 0x32f44644,
+    0xe82c591a, 0xededd6b7, 0xb28736d5, 0x27d811f0, 0x580034c4, 0x9e72ae20, 0x67ccccaf, 0x03b9eb30,
+    0x741d8fbb, 0x5a66485f, 0xf243e5a7, 0xb82aba70, 0x0379202f, 0x1fba2f53, 0x95515141, 0xbfa15544,
+    0x63371cc8, 0xa6d696d3, 0x1dadb60f, 0xf52b5af9, 0x4d329f0c, 0xccea8c88, 0xcea2fc90, 0x44111bd7,
+    0x791b8d25, 0xdb364725, 0xbaec4c01, 0xaa96c726, 0x40f5fed6, 0x10269244, 0xfb7c2196, 0x9304a08e,
+    0x925a8ae8, 0x948b8cfd, 0x76e7914a, 0x56616bcb, 0x0777a946, 0x17d35eaf, 0x66190d26, 0x7a29bf32,
+    0x5cc0628e, 0xa2b9ac0c, 0x54b79d33, 0x298a1782, 0x3cb8d8d3, 0x720dce97, 0x0770f1cf, 0x1fa20273,
+    0xe6303cfb, 0x9a94e935, 0x1c889e0c, 0x4fbb1aa3, 0x79984a15, 0x0d55a141, 0x01c4bdfd, 0x3051f4c9,
+    0xbf6e2203, 0x665d1a54, 0x18d234c6, 0x49a5c16b, 0x6c964ab6, 0x20ff1180, 0x3a05786c, 0xb9db4a6b,
+    0x564acd52, 0x9f9c9d72, 0x7f012d76, 0x4e64588c, 0xe44c3d27, 0x84b8a7ec, 0xa74af407, 0xfa1b9d93,
+    0xe1f9268b, 0x26977090, 0xf106a99f, 0x34a690cc, 0xc4827d97, 0xac133f80, 0xcd303a1c, 0x229eccd2,
+    0x933b3434, 0x3a8129c2, 0xea8ecbe3, 0x06b51b63, 0x4cc9b6ae, 0xa6aae8a3, 0x460030e6, 0x338f6450,
+    0xf0a209cc, 0x531bf3f9, 0x77b59267, 0x4594b089, 0x231ef723, 0x33544bd6, 0x0cfd3a35, 0xb8ff1751,
+    0x04dac323, 0x531f284d, 0xf4af702d, 0xdf9a3577, 0x2a750483, 0x903a3f7f, 0x6e1669b7, 0xcd5f4c61,
+    0x07ec10d1, 0x46228019, 0xa5b91e21, 0xbcac34fa, 0x06e9f01e, 0x97df7e1e, 0x05294c34, 0x0280944b,
+    0x5518c34c, 0x25773df2, 0xd74e774d, 0x1c320cea, 0x51ac4e23, 0x4541f9d9, 0x71d361ea, 0x2c6fcf88,
+    0x334bc30d, 0x198065f3, 0x9f43fdcd, 0xbfbe2c52, 0x42fcead1, 0xf05c8015, 0x473dcae8, 0xaeaf1677,
+    0x72aed567, 0xf9b16aad, 0xed95ee82, 0xd1c3b76d, 0xfcc5f83c, 0xbb7579ca, 0xe218788f, 0xc0fba51a,
+    0xf66d4d74, 0x00859125, 0x71ee14c4, 0xdc25af45, 0x87903e18, 0x68c5c1c0, 0xb4bbf2b4, 0x79159a95,
+    0x6f530873, 0x1b95cc10, 0x4b388e02, 0xac0107f8, 0x1a008f43, 0x0c5911e8, 0xdd2226ce, 0xe60452bd,
+    0x8a90e111, 0xceb7203f, 0xcbb0bfd0, 0x3f9e592e, 0xa756e00d, 0x558fdb0d, 0x726cc003, 0xdbb475b3,
+    0xc1d0c1da, 0x3efaeb3e, 0x7b794144, 0xbe073212, 0x36eb0f44, 0xa5db3fa5, 0x542dfad1, 0x5332db3a,
+    0x81494c39, 0x3632d766, 0x95e3e913, 0xe4c4875c, 0x9f86a30d, 0xeb354db3, 0x5f872988, 0x3afd1433,
+    0xd1b5655e, 0xe58e1bcd, 0x056fc43e, 0x98f99f2c, 0x86801261, 0xfbd59a87, 0x88b3d5f5, 0xb313b07f,
+    0x39e34b78, 0x59da09f1, 0xa4e937ae, 0xfaf9d0e3, 0x62db10df, 0xbe953ab9, 0x94e8a475, 0x29121f70,
+    0xa48ece38, 0x01278ba6, 0x8adebb33, 0x24193d9b, 0x8a8b74af, 0xcce84e43, 0x93541292, 0xe02f8be5,
+    0xad65e069, 0x52503772, 0x7536b4ba, 0x7dd218f8, 0x33044cdb, 0x24cac866, 0x7a327e9e, 0xd5dc1968,
+    0xd8d7c447, 0x91a56269, 0xef1b20c9, 0x8ce7af6a, 0xda8f58a5, 0xfaa25e81, 0xeb1deb5a, 0x453c228f,
+    0x5220f4bd, 0xf0ce6cfd, 0xfc1d1225, 0x5cb03654, 0x5c7d9fbc, 0x0e75a11a, 0x3e987185, 0x225874b2,
+    0xf1e3e592, 0xb2160304, 0x4e723d47, 0x7aed23d2, 0x881cf73b, 0xe39c0a8b, 0x0b6e341b, 0xce44f0f1,
+    0x44019fec, 0xa0e42c3d, 0x97b37748, 0xad2fd2ab, 0x9eec95f5, 0x5205bf18, 0x23436d61, 0x2ddf1fcb,
+    0xc2860f18, 0x0f7b7705, 0xa6eb6467, 0x20fd9c21, 0xe4eaaa4b, 0xdf60472c, 0xc7d0df96, 0x4f73f355,
+    0x68bcef2f, 0x6f81adbb, 0x19ccc06b, 0xddeed9fc, 0x37241f88, 0x3270dc48, 0xea3f3ade, 0x0b0796a6,
+    0x4e796c30, 0x4044f8b8, 0xcdb831e9, 0x639070ca, 0xd9d7840c, 0x365316f3, 0xb8be46e8, 0x6f3de417,
+    0xc65bfa90, 0x7a16362a, 0xfae09b8a, 0x25eeeb71, 0xe5630bf0, 0x19acb3c9, 0x447d48cb, 0x35a0214e,
+    0x5db5cf87, 0x747ae056, 0xb33dc0b3, 0xc45aee1e, 0x74632ab0, 0x6fcce723, 0x96abc197, 0x3f9ae7e2,
+    0x9ebc26eb, 0x9467e8b3, 0x7db5e6b2, 0x9071b330, 0x405ccc08, 0xa55e1e92, 0xe136c772, 0x30484b42,
+    0xf40cbeed, 0x05f70b22, 0x70d63082, 0xa4a95553, 0x0d090e63, 0x85a675c8, 0x6e3f78da, 0x5877e17b,
+    0x6c3b9337, 0x8ab4cad7, 0xbf671427, 0xe8b30157, 0x9f34ebb1, 0xd54d5e84, 0x8ab33b4a, 0x8e31801a,
+    0xb3fa2d18, 0x272c9b18, 0x274c8a51, 0x34998823, 0x080e0f54, 0x58e000e8, 0x70f419ee, 0xa10ae36d,
+    0x00000000,
+    0x480565c9, 0xd61435ee, 0xab63ad0b, 0x3a3e24be, 0xde9dd51f, 0x9d06650f, 0x8082e785, 0x4e91b6ac,
+    0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000007098034416949286040520740311406294280797278912962090432\
+                         43642772637343054798240159498233447962659731992932150006119314388217384402944 */
+  { 0x00000000,
+    0xea35dfe3, 0x7fd45b1f, 0x09c13064, 0x222d78be, 0x6b9a2d3c, 0x53fbff43, 0x23a179c1, 0xc02839c0,
+    0xbb02dc08, 0x9883d803, 0x4ff18708, 0x9b3a80ed, 0xfec93c86, 0xdddbb5fa, 0x3eaac90b, 0x9c378a4d,
+    0xe1bb79ee, 0x3e2cccd6, 0x1b687996, 0xddb3650b, 0x91757420, 0x3f781136, 0x755bd773, 0x6a2ca064,
+    0xace1da2f, 0xf6796c34, 0xd47faf03, 0xf398a74f, 0x26e66b77, 0x74e54a10, 0xae61c943, 0x07ecb322,
+    0x465242ad, 0x5aa5aeff, 0xb12ae8f0, 0x5362cbdd, 0x2b7b2db4, 0x1c96d90b, 0x1a701d80, 0x4d177f02,
+    0x92cf771a, 0x05ed2f6f, 0xa12474de, 0xd88d6491, 0xc76fc1fc, 0x2f42f547, 0xd17e95d3, 0x5b453401,
+    0x92eacd8d, 0xef66db5d, 0x3b385512, 0x5f3d4628, 0x1981ecef, 0xaea3093c, 0xcda52b8c, 0x314d9388,
+    0x6725c9b3, 0x9592d789, 0x7b8ed333, 0x096cd7fd, 0x22da9fad, 0x5834d5e2, 0xc4011bbe, 0xf49ea80d,
+    0x6b54aacc, 0xc7c46e75, 0x8acddb38, 0x2c72d98d, 0x706b4c65, 0x424d1ed1, 0xfff81578, 0x209ec59f,
+    0x995b9ea8, 0x0221ba90, 0x64a7c37f, 0x4128ac33, 0xff3d239f, 0xa62f09fa, 0xecfa955b, 0x597e3874,
+    0xd8510998, 0xdd58e73b, 0xd0f21277, 0x84ddee17, 0x2ded9127, 0x613262cc, 0x851c9e08, 0x591b1ecf,
+    0x0d34ddcc, 0x4e0d2d21, 0x04e6dc05, 0x7874cbf1, 0xe799a98f, 0x3370a8aa, 0x94d4243b, 0xc774d21f,
+    0x652c2aee, 0xa0c000a5, 0x4c6d513a, 0x77fb53f7, 0x51fb4e44, 0x91dc9982, 0x74b0cf11, 0x6709f450,
+    0x5e070e0a, 0xfa544387, 0x1fc7116b, 0x20e6f209, 0x1c3bb9a3, 0x053eb60c, 0x960e777c, 0x2b628e85,
+    0x6c706cd4, 0x29c1f89c, 0x8dbdb333, 0x870ac1d0, 0x0366e25c, 0xc1c04c7d, 0x17c8c82e, 0xe524292f,
+    0x78d0980e, 0x5a564033, 0x523506e7, 0xfc396258, 0x2f2ab75e, 0x8228bd7e, 0x1d8effa9, 0x3f5dcbdf,
+    0x2afa40f2, 0xb1f41871, 0x5d24de66, 0xab84ac4f, 0x5eda4695, 0x653b5d1a, 0xdb0dae66, 0x03173457,
+    0xf16045d3, 0xfc096e18, 0x8ad67488, 0xbfaa1100, 0xc2e34fa5, 0xe08e98a3, 0x8b07cf68, 0xed1a8e56,
+    0x478084e0, 0xf2f87710, 0x4e57a824, 0x946d42f2, 0x99ef3250, 0x92f7b118, 0x0c99d92f, 0x976e38f0,
+    0xd7307cfc, 0x6b0c1baf, 0x96e4fa22, 0x1f91b009, 0xd124427e, 0xc3877ae8, 0x058b803d, 0xe684e9c6,
+    0x43e5207c, 0x0741bd9a, 0x5b703766, 0x32be8f59, 0x716be891, 0x0c7db7f9, 0x9d6606b3, 0x4d4e8128,
+    0x58475017, 0x4984039a, 0x093da615, 0xc3888a1d, 0xe7e14346, 0xed9fed6c, 0x482f55f5, 0x3d3b4d2c,
+    0x097d126c, 0x6e8fb422, 0x60e5ffcd, 0x337b656f, 0x388f6661, 0x8fdfa6b7, 0x82601100, 0x1808f46d,
+    0xc2f94e81, 0x46d0c6ba, 0x84f982dd, 0x1841b860, 0xc1c98f76, 0x39d35336, 0xe970ed04, 0xcc17ac6e,
+    0xb7f041c7, 0x15be18cb, 0x60217ccb, 0xa021dfa5, 0x1608ae54, 0x139d7362, 0x3bc95345, 0xb45858a7,
+    0x51be4be5, 0x162b0ebe, 0x01e28828, 0xfdbb0edc, 0x244077c0, 0xb4f1f1e4, 0x740305b9, 0x544de7c4,
+    0x8f29b2c7, 0x37662c1c, 0xccdd2381, 0xc9bb5fcb, 0xeba42a99, 0x50ec1474, 0x3d332cee, 0x72f5c01a,
+    0x0dac805d, 0x3dc5e640, 0xbb899145, 0x74ca51f2, 0xe9a16139, 0x41a89517, 0x742dd7c4, 0x469ee07d,
+    0xa3c30d41, 0x1ed58ce2, 0x00203526, 0x4c9146a6, 0xaeb05d67, 0x1ff1ffae, 0xfc4e0071, 0x2815ef56,
+    0xf7b9f1ae, 0x222190d0, 0xea3e26b1, 0x751975b8, 0x4c5f4989, 0x06fdd619, 0x9ed44cd3, 0x65d30dc9,
+    0x9fb5387d, 0x9f09caba, 0x8972afef, 0xbd03bdc8, 0xda327f3e, 0x7c8e3101, 0xeec48de3, 0xa91cc3dd,
+    0x20efac21, 0xe9412e07, 0x61ccd09f, 0x3f10ede9, 0xb588dd8e, 0x5773d6dc, 0x54272e04, 0x80e5b64b,
+    0x78037f55, 0xa2f205cd, 0xf5780874, 0x22785db5, 0x01f0440f, 0xb2995a2d, 0x49c1d251, 0x104fb1ee,
+    0xa1d427b9, 0x8fc27912, 0x0f826b7d, 0x5bd035e5, 0x5c5f9201, 0x8ad52dee, 0x0bc61b82, 0xe84149c4,
+    0x1a544941, 0xed76d8f8, 0xd6bdb584, 0x887b811f, 0x5271ce5e, 0xb7bd357d, 0x7e720463, 0x4ce030cd,
+    0x41a7599b, 0xe088ff1c, 0x9ea507d7, 0x219af88c, 0xa29c2b97, 0x8581360e, 0xdad68059, 0xcf177573,
+    0x60e1d789, 0xb228ed65, 0x0325ea95, 0x573e232f, 0xc9504557, 0xeaf25df4, 0xf3eb1cb4, 0xdfb977bb,
+    0x90b8c068, 0x58e6b00d, 0x2470635e, 0x20320b05, 0xfa51d2fe, 0x87ca757a, 0xf515ead4, 0x73c61b07,
+    0xb497cafc, 0x66f187b2, 0x5c1c028a, 0xca75e441, 0x53b1f892, 0x893578f6, 0x2e58438e, 0xeb47bc3a,
+    0x93cb1113, 0x1452cc2b, 0x631d8328, 0xc744a60e, 0xfdebccd6, 0xe1bd0702, 0x1164e05c, 0xc7842be8,
+    0xee46af4b, 0x7b1b985d, 0xe8891d01, 0x33d7f8c7, 0xb4fc0755, 0xbcc697f5, 0x8c42cb9a, 0xf6aba5e0,
+    0x8ca5206d, 0x23f2df0c, 0xf34ccf66, 0x9dd1c834, 0xc00336ba, 0x8e4550fe, 0x2b04ad63, 0xa43d676a,
+    0x0109b0a3, 0xd6746393, 0x1536860f, 0x94c7233e, 0x6a28b6e0, 0x0754abd7, 0xa2c9dd6e, 0xed399f12,
+    0x63377bc5, 0x54f29e1c, 0x49165d05, 0x343c4d9e, 0x18a54811, 0x63936cd5, 0x0699f8f9, 0xd4e2a055,
+    0x4f23cc8b, 0xfa50dc56, 0x0e9d048c, 0x805de711, 0xbdb3fef0, 0xee2a3b62, 0x9c2132ef, 0x3d34bb22,
+    0x0e499f36, 0xf1aee776, 0x9b69e613, 0xa7ff3a9a, 0xd240ff12, 0x77e73fc3, 0x78c14b36, 0x26fa34d2,
+    0xe0a2648d, 0x15678244, 0x73f74e71, 0x2af5895e, 0xccca652a, 0x65bc92e8, 0xb433f36a, 0x46066061,
+    0xc99de415, 0x6da219f4, 0x4fb93b0a, 0xab68508c, 0x17b6d83a, 0x7b8b53a1, 0xe67c7c1e, 0xe70b73c6,
+    0x4557a30e, 0x70c763ed, 0x0a0d736b, 0x2c293ecf, 0x210ab614, 0x4b0f6a6c, 0x75a80be6, 0xa58fa639,
+    0x6fb7d2c8, 0x3419e0a2, 0x6a7f6c1a, 0xf10f7c7d, 0xb75fc241, 0x49960e6a, 0x75aef6fd, 0x0b54c950,
+    0x342f9aad, 0xcf626509, 0x8c337104, 0x4d9d7a36, 0xcaa1e7ff, 0xd1fb64db, 0x20bc27fa, 0x4ed58e44,
+    0x8791e67c, 0x7cfa9a88, 0x813bdb36, 0x6edf815f, 0xe6c7fe2b, 0xed4d35cf, 0xf6338341, 0x8bcf1365,
+    0x223b0185, 0x3fa6d0cb, 0x10dcf997, 0x797baeeb, 0x9e4b455d, 0x2319ccd8, 0x3eb2cc8c, 0x7a4301f0,
+    0xb9b714be, 0xe719f7d3, 0x1ed228c7, 0x56c12ce8, 0x21f895f5, 0xc6dc6bf2, 0xddc4e637, 0x2d40e90c,
+    0xb4f341e8, 0x7d7286b5, 0xeee2b8da, 0x49d58cd1, 0xe26c875d, 0xa7f849e9, 0xb51b78e9, 0x58db8178,
+    0xbb97cd9a, 0x013370c3, 0x7c24ffb5, 0x84e966ef, 0xe6543d45, 0xbdcbbd1c, 0x668ea61f, 0x636a58ea,
+    0x72932b2a, 0x85d6a20e, 0x399c6047, 0xc3b43cf1, 0x0ffe942d, 0xa116c60e, 0xcb76f868, 0xad7e2e9a,
+    0x97678068, 0x3f67cfaa, 0xf0ac6b27, 0xbbc39b4d, 0x531188bb, 0x9ce1febb, 0xbf88c3f0, 0xd93b2002,
+    0x721a3127, 0xc2becd8d, 0x67a2be42, 0xc3dd6ebe, 0xabb3dec8, 0x206e4af1, 0xed6daccc, 0x331d1a57,
+    0x2143ceaa, 0x927bec6e, 0x741cc1e7, 0xe2b6b67a, 0x1555634e, 0x9eb73a50, 0x8d3be79e, 0x2868c979,
+    0xb889ae65, 0x838ae1e7, 0x1a00412a, 0xb1cf2d43, 0x864f477f, 0xaf31c311, 0xb3b87a53, 0x108238d9,
+    0x268a0b5f, 0xffeb5e57, 0xd3333efd, 0x82ecb6a5, 0x8296d58c, 0x75e0c656, 0x63587da6, 0xcba56f6a,
+    0x67222005, 0xf2a93305, 0xf416f9fd, 0x2e26f642, 0xfca4e8e8, 0x9dbbc30e, 0xb6f13f2a, 0xe3d1ea99,
+    0x2477b00b, 0x60def4b4, 0x65e09e08, 0x8b67a8b5, 0x11ee87cd, 0x788aa0b6, 0xbc676f40, 0x548e43a7,
+    0x9dbaccc0, 0x45304ee8, 0x4285a9d9, 0x9b00374c, 0x244ec267, 0xa65fb6a2, 0x58ee2d34, 0xc64d061d,
+    0xe839ac47, 0xc848477e, 0xb24bd9d0, 0xefba3bed, 0x6f8209f5, 0xda78c35c, 0x080a91c3, 0x9f52efee,
+    0x96e98568, 0xd06294c6, 0x73c4711a, 0x85900aba, 0x25bdb7ca, 0x000b9fe3, 0x5bd8b0aa, 0xcd4c81ca,
+    0x0dca34e7, 0xd8e400cc, 0xb78ccf35, 0x404dc10f, 0x01c2f7f0, 0x3918c97c, 0xc3cd3537, 0xa31d73e6,
+    0xd2ad7aa5, 0xa2a64571, 0x0b9d4a4d, 0x2b7c38ae, 0xb304877a, 0xb6a60b42, 0x12e2c03d, 0x50f59ad6,
+    0xde0f37e6, 0xdffcba7f, 0x0a38585e, 0x3e155c7a, 0xd9e59469, 0xabf72a2f, 0x264a8393, 0xa1e2dfac,
+    0xe908e918, 0x68ceebd4, 0x214d6b71, 0x0d5d2c70, 0xd05f66b2, 0x503f4e00, 0xdde91ae6, 0x6b0081bf,
+    0xac761489, 0x3000d7bc, 0xed0550f6, 0x8eda59bb, 0x54547236, 0x20fbd4bd, 0xa53f78d3, 0xdb4ed7e3,
+    0x97c0da81, 0xbebad39e, 0xc5016e86, 0x6cfcf0e5, 0x726fc8f4, 0xd6f43218, 0x5141190f, 0xc8342211,
+    0x5f988793, 0x41032439, 0x6c209543, 0xb2b53f49, 0x8ef5ae44, 0x546b8507, 0xe8254225, 0x52c042d3,
+    0x990bfc47, 0x39d7c1e5, 0x2889e1a4, 0xe0661880, 0x9bdbef9e, 0xd4a2c766, 0x900b8e13, 0xce466859,
+    0xaa8d8dcf, 0x242d2457, 0x93d1033c, 0x4310f4e9, 0x8b01d789, 0xa60a6344, 0x3ab679fb, 0x1c8d7d60,
+    0xfeb19d1d, 0x563ec034, 0xb6abe436, 0x9b4fa1c1, 0x384fed4e, 0x3e68865c, 0x3406eeba, 0xde0774b7,
+    0x807f7ceb, 0x6470db28, 0xfa32ed1d, 0x9d252fc7, 0x29c35e49, 0xcb7da053, 0x250c8f12, 0x7537036c,
+    0xf39e875a, 0x9cfe79e2, 0xafc74540, 0x8310915f, 0x29295c39, 0x107db9a8, 0x32917815, 0xd094aeb6,
+    0xc0b0b3e4, 0x703d2dff, 0xd46330d2, 0xd8be2bd3, 0xdaf3b450, 0xc8851c52, 0xfef83ed7, 0xef2ee27e,
+    0x2f0ddb2c, 0x91658f01, 0x5458dcd3, 0xc52913be, 0x077ae55a, 0x91249ae9, 0xde748bf6, 0x133fc4d3,
+    0x1e8f7dc1, 0xf47dff81, 0x336ecbe1, 0x19398dc2, 0xd33ac62d, 0x4da0edfe, 0x784d5913, 0x6db9990e,
+    0xd231af12, 0xd2524fe0, 0xf401bac5, 0x85202447, 0x6c1a9692, 0xb78e7d10, 0xfe43dfef, 0x7bd7cc46,
+    0xe60ebb52, 0x60fbc85a, 0xb2a1ca7b, 0xa8980175, 0x1fb69da1, 0x3bc6afe8, 0xa190564c, 0xb962a6e2,
+    0xb0272cad, 0xf6451863, 0x99a8b10f, 0x650d99d1, 0x4498a3c1, 0x897c14d9, 0x1786ee3d, 0x716437e3,
+    0x4214f84a, 0x20c8d1b1, 0xee510424, 0xa49cf27a, 0x545122a1, 0x72b9f58e, 0x782417da, 0xd1e7be88,
+    0xb9f912a1, 0x8b0c39cc, 0x2926d833, 0x51a79c8e, 0x32d89028, 0x3c2c73fa, 0xbbf1a07d, 0x27361f0b,
+    0x59791498, 0xcfd94c65, 0x49bc9506, 0xa28c264b, 0x1d9f0c5b, 0x7d812da8, 0x0f6fd944, 0xee260a76,
+    0x42c94637, 0x38b4cf7a, 0xecd01a5f, 0x7f115570, 0x5336c56d, 0xb8ee59bf, 0x1389bb26, 0x22163d79,
+    0x2ad7d8b6, 0x9b8c8990, 0xcf4dd391, 0xcd6ccfd9, 0x475273b0, 0x5b184447, 0xd9390604, 0x46bcf688,
+    0xcda38fd1, 0x3671ecea, 0x260d2ffa, 0x7681f1bd, 0x5980102e, 0xc66c2f61, 0xae182c07, 0x90cd8381,
+    0x20a076db, 0xb5385ed8, 0xb844449f, 0x0aa0e848, 0xebb1ebe3, 0xa449f1bf, 0x18b3fe29, 0xcf14c30c,
+    0x306ff5d6, 0xc3b6fd8a, 0x294c121e, 0x72ac8c94, 0xe2e029b5, 0x5d67e9d0, 0xb9e03373, 0xc48106a4,
+    0xbf026cc5, 0x70fe9cc9, 0x829255a7, 0xb0d2e5fa, 0x6418ae66, 0x2598ade9, 0xd211c07a, 0x5b466ea0,
+    0x7bfa997a, 0xb24f76c1, 0x19ed2323, 0x81d5e433, 0xc5f22b88, 0x35a131f5, 0x548c23a6, 0x032c5a83,
+    0xb9f569e3, 0x269d6e01, 0x176a11a5, 0x26b140fe, 0xb635ba38, 0xde142e79, 0x54ad8a14, 0xa5232e44,
+    0x62a4cf43, 0xffe9b8ba, 0x301fe53c, 0x2e5e73bc, 0xb046b0b6, 0xc23ed469, 0xa813bba0, 0x181d0bb2,
+    0x5f1cb7c1, 0xabe6309d, 0x63f4b63c, 0xe610f0c7, 0x21e5e5ae, 0x013b2e5e, 0xcae018ac, 0x6b0f8ba7,
+    0xe7479a4d, 0xa89c62d8, 0xed4bb3b6, 0x8e13aa1b, 0xca8bdda5, 0x53166b08, 0x88ed6104, 0x01d973fa,
+    0x2ec1e3db, 0x79354207, 0x21eef8ae, 0x6c1be77c, 0x1efa2ef9, 0x856d13b3, 0xb3e2dda7, 0xf5319bce,
+    0x422e105e, 0x40482e34, 0xb012ca76, 0xb95fc5ec, 0x19255191, 0x7c0ba3af, 0x2dade2da, 0x5039d00b,
+    0xd90f0258, 0xb56966d3, 0x9bdb2d62, 0x9823cb92, 0x3ff5738a, 0x8083fe32, 0xecd6c139, 0xc73ad25a,
+    0x300667fc, 0x032b66fb, 0xaf89d2f8, 0x358eb905, 0x78988a30, 0x47d2dbec, 0x4973d7a3, 0xec3b1ad9,
+    0x40f57ca5, 0x6ee615a6, 0x2fbb8b23, 0xd4f3ede6, 0xd5bdef3e, 0x8182464c, 0xeb9f5b27, 0x67d02a15,
+    0x7c84c808, 0x8d521db5, 0x93c144e0, 0x02730a04, 0x04cbf173, 0xd76da0a5, 0x9840340d, 0xece4d7f3,
+    0x8cd9a97d, 0xbabc2687, 0x3970f2d6, 0x3609a5ea, 0x71458446, 0x4f66b685, 0x0dfa7262, 0x153c7820,
+    0x67ebb2d4, 0xadde625b, 0xf51ccdf5, 0x4bad324e, 0xbb4fbe6a, 0x40ee527c, 0xd1579df5, 0xb57da240,
+    0x358f4e9c, 0x0fccd26d, 0xd2f830bc, 0x2bf235e3, 0x1a33dd5a, 0x2c7bd388, 0x588daea2, 0xb0280352,
+    0x2fee29ab, 0x5435112c, 0xccd293fd, 0x2aeecc22, 0xb3627b4e, 0xab8e3fb5, 0xf4e4492a, 0xb21efb3f,
+    0xf689957d, 0xc26c2ff4, 0xf72ae2cb, 0x15e5b954, 0x72074866, 0x17fd6e08, 0xd53786ef, 0xbdc6b065,
+    0xa1a541a1, 0xf313cfba, 0xe719fc43, 0xc6e7fe7b, 0xfcfc4361, 0xdd8a54eb, 0xfc42d85e, 0x586b9b1d,
+    0xcdf97ecd, 0x1b599115, 0x8967ad97, 0x9c5a14d8, 0xcba20e1b, 0x4a296c1c, 0xde7dc90e, 0xe7b0caa3,
+    0xcc0fe33f, 0xdfc2a9ff, 0x78e2ab02, 0x1fb37806, 0xbe18f739, 0xecd76c2d, 0xc4f64a76, 0x2f6b415f,
+    0x40b83e23, 0xbf156f6b, 0x1280dccf, 0x9ac65490, 0xe7c2c88a, 0x40d602fa, 0x5cda6cb0, 0xed2ddd13,
+    0x6d770cd0, 0xef4f9440, 0x383de8db, 0x76ab02ad, 0xe7872379, 0x92e86a63, 0x85986cd5, 0x34749a17,
+    0x2c0ff065, 0x6809caf6, 0xc18b71c5, 0x1b8d763a, 0xc5e3f3dc, 0x06cc3013, 0xc96efb8f, 0x54bab2b4,
+    0x4d17bca5, 0x90a931b1, 0x6cee3b11, 0xdcb166ed, 0x979432e4, 0x9a07e66e, 0x4500ee5b, 0xe54f8f0d,
+    0xeb69f22f, 0x236251c5, 0xe9d79148, 0x5321c9ee, 0x10c43872, 0x959f035b, 0x2b970e48, 0x7d7a6e57,
+    0x574047e0, 0x440270e9, 0x3312437c, 0x9ff2a39c, 0xb30185f0, 0xbde8c699, 0x25eb93ab, 0x095ebfbb,
+    0x56479cff, 0xe851b52d, 0x0051c92c, 0x5088e0d7, 0x1f78f092, 0x64e1b69c, 0x9dcdaad4, 0xb164deb9,
+    0x664bce18, 0x4a7a997b, 0xba34b9ab, 0xeff36096, 0x147dea8d, 0xd14fc964, 0xdd6d2585, 0x6fa77fe9,
+    0x037bded3, 0xe3c22d82, 0x40352ff2, 0x8a5aa709, 0xfe522700, 0x77bb8992, 0x28651d9f, 0x64d389d7,
+    0xe0c2c189, 0xbf057974, 0xe6efda4d, 0x6b143a25, 0x514e4550, 0x4c95368c, 0xc4503397, 0xaca29cc8,
+    0xc8c0c953, 0x89794023, 0x0d607ef9, 0x7ae9ba76, 0xc61cb9c5, 0xe383f3cd, 0x475697ac, 0xbb08c865,
+    0x300586fa, 0x980060d9, 0x84dacb6e, 0xf730f522, 0xbba9708d, 0xfe7483ee, 0xee724848, 0xb6d48c15,
+    0x0bb83ff3, 0x494f1e0e, 0x0c7c3c20, 0x817eb50f, 0x59ffe27a, 0x494ef456, 0x99820069, 0x8f92e66a,
+    0x00000000,
+    0x2402b2e4, 0xeb0a1af7, 0x55b1d685, 0x9d1f125f, 0xef4eea8f, 0xce833287, 0x404173c2, 0xa748db56,
+    0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000003549017208474643020260370155703147140398639456481045216\
+                         21821386318671527399120079749116723981329865996466075003059657194108692201472 */
+  { 0x00000000,
+    0x9bc1de15, 0x924accdf, 0x1a818850, 0x133de7be, 0xb77cd9c2, 0x32e6462a, 0xda7ed447, 0x4102cdf5,
+    0xe3477398, 0xcaa9aba3, 0x241fd59d, 0xf63449a4, 0xde487860, 0x05acb127, 0xf1c5b918, 0xb33c3e34,
+    0x715e2694, 0x497f737a, 0x708056b7, 0xe9a103eb, 0xb935677d, 0xad468f6d, 0x099812b8, 0x0d396314,
+    0xc743a49d, 0xcb7c12fc, 0x606c7284, 0x56d8fc80, 0xb45dbbfc, 0x6f08eaf7, 0x845da6a8, 0x3b85c690,
+    0xe0a0f1a4, 0x8a65668e, 0xe251ee50, 0x052460ac, 0x7cd524ad, 0xe820b26a, 0xc8ab83f7, 0xd6a96683,
+    0x84c0b6be, 0x6c54d92c, 0x3f931dac, 0xc29eb19d, 0x336e3a35, 0xe29178a8, 0x3fe57032, 0xdf7aedd3,
+    0xf3a2686c, 0x2b07608d, 0x590f8433, 0x19205492, 0xf8d5b7ab, 0x1e72e425, 0x30aa7403, 0x88eddb2d,
+    0x54797570, 0x462d279b, 0x462f9769, 0xf0a7edc6, 0xce8f7123, 0xfbc467d3, 0x880f1508, 0x8ff7e6f0,
+    0x419977ad, 0x72c7054c, 0xdf1eb523, 0x7ac0d768, 0xa0027017, 0x0f2d66dd, 0x7d5ce996, 0x411f8b6a,
+    0x95733e20, 0xce41a960, 0xea56ce85, 0xfbf3764b, 0x254cfc2d, 0x4a1ca9c8, 0xc031800b, 0x4012e61f,
+    0x4b470a41, 0xc80a7395, 0x05019b1f, 0x0e14c656, 0x516399a5, 0x069f79fd, 0x5c51c201, 0x77d46054,
+    0xd2e0326f, 0x18c877a1, 0x9ccc116f, 0xfcad2337, 0x0f66e1a6, 0xa7955a79, 0x5dc5d364, 0x89fe1979,
+    0x11f79135, 0x843fd4fa, 0x7f796c3f, 0x3c3ad2ac, 0x414f3db8, 0x96a818c1, 0x2192ba2b, 0x7cbb3569,
+    0xccb006a4, 0xd48085ed, 0x651917d8, 0x8aa1b043, 0xfccfa5a8, 0x9b40c498, 0x68a03b15, 0xab8db63a,
+    0x5643e644, 0x40751fc7, 0x8ef96356, 0xfba35095, 0x64a0463f, 0xcc8227fd, 0x6c33140e, 0x587b31e8,
+    0x6a620ec6, 0xc8ca5273, 0x4b655a24, 0x54c2ef27, 0x173fde68, 0x8ba1a315, 0x6138c60d, 0x8b869669,
+    0x5281ece2, 0xf8af7759, 0xfdcb869e, 0x57b45928, 0x984b30b5, 0xd2e84833, 0x3f21c59d, 0x6bb799b1,
+    0x88f93179, 0x88625c27, 0xf89b2de4, 0x2cfe7405, 0x96727407, 0x7e6dae07, 0xc0b20dd6, 0x587e05ca,
+    0x07cb7061, 0x381ad79b, 0x3daf9657, 0xf77ef78a, 0x9cb6b9a0, 0x951d71ea, 0x9e2d1672, 0x52d72417,
+    0xd90ce346, 0x97d2ad81, 0x70b687fb, 0x2dc29ceb, 0xc21093d8, 0x7ae24e7d, 0x2e641db9, 0x938718bd,
+    0x389e3200, 0xc958fbc7, 0x9d7d8156, 0x46ee70ea, 0xaf0ad083, 0xfdad2b86, 0x93805771, 0x0b4c80a9,
+    0xc91d9e27, 0x96267139, 0x77408069, 0x13ac36f6, 0xbdb59ae8, 0x48ee7424, 0x7fc058af, 0xcf82d7a1,
+    0x06eedb49, 0xf52977cb, 0xa3aa2ab7, 0xe23273d6, 0xb5bc91ca, 0x1ea9b15e, 0xa0237b62, 0xea103484,
+    0xa9a53a9f, 0x089e6617, 0x69b47d43, 0x32754f52, 0x31cbc28b, 0x334adb5f, 0xd4dfa393, 0x2dbb3442,
+    0xbf67f306, 0x903a1a08, 0x55683434, 0x804a5d02, 0x3708a714, 0xc849dd3c, 0xc96c2ea0, 0x83afd0b5,
+    0xc25324ed, 0xbf713791, 0xca50468c, 0xff5537b6, 0x1aab59fe, 0xe8dcec9e, 0x872ca9ec, 0x66c4c567,
+    0x66396db9, 0xc8d5e7f7, 0x2d761d7b, 0x3fcceb4a, 0x3af5c368, 0xbcafa043, 0x36e8a5cd, 0x5ea96b77,
+    0xe187a76e, 0x4a7ca920, 0x60b14f86, 0xcbbb5d0b, 0x93b82cbc, 0xadf77b58, 0x07e2dfa8, 0x0d3a1b31,
+    0xc157b587, 0x41c19538, 0x114297e1, 0x0dad77bd, 0x9185e127, 0x88685816, 0x53c22c54, 0x6570dce1,
+    0x7e711878, 0x81bc7c40, 0x02301304, 0xb751d7f9, 0x40ac7cb1, 0x98e03f0f, 0xfc904507, 0xe9d5bf87,
+    0x43a8c98d, 0xf463401c, 0x8ae4d79e, 0x890fbaff, 0x06d81104, 0xbb43fa7a, 0x6da36752, 0xfe2b4bea,
+    0x2136d636, 0x3971a4ae, 0x10854497, 0xb4bc315e, 0xb986aedd, 0x802b9ffc, 0x47d8427f, 0xd619a27c,
+    0x29191a7e, 0x0decb5fa, 0xb899f25b, 0x6dc1c915, 0x3ec925f9, 0x65f4db2d, 0xfcc023bb, 0xf9331062,
+    0x829e0a4f, 0x333b02e6, 0x23171490, 0xf1b29892, 0xbbe0f098, 0x1bf8e7af, 0xa4080cf6, 0xa94ac625,
+    0xfe993260, 0x5cb15792, 0xa1ef8c66, 0x10c908b0, 0xce91e5ba, 0x427f9a19, 0x7e4a4a63, 0x79b7231d,
+    0xeed2b7f2, 0x33391c26, 0xa4cf0207, 0x99db1f23, 0x31516e38, 0x81b92ec7, 0x6109c4fd, 0xce7dbd46,
+    0x61803479, 0xf36c1518, 0x36910dd0, 0x11c26f90, 0xa1ad723c, 0x2f5f5718, 0xc1db224b, 0xf0473671,
+    0xa0c03819, 0x8d29108c, 0x5b8de739, 0x00fcaeca, 0x21f34558, 0xb2e316ee, 0xa96d4fc9, 0xe8a6bb05,
+    0xe38c69c8, 0xcf0d83ce, 0x3266621e, 0x4b30b4ac, 0x68cb5066, 0xc0cb16ba, 0xf9d7587e, 0x261f01cd,
+    0xdf509eca, 0x0043142e, 0xb0c3d93e, 0x51302f3b, 0x7b80a07c, 0x3f6270b4, 0x2f0a14a7, 0x57e639c7,
+    0x420a84f5, 0xfecfbbb7, 0x22cb27c0, 0x06bf35f5, 0xcaa266a1, 0x5b39ce99, 0x36eee2aa, 0xdaa163a3,
+    0x02fd2538, 0xf049953b, 0xe130cff5, 0x2598cb5e, 0x16edd77a, 0xe104682c, 0x5df6a2a4, 0x7e917cd8,
+    0x370c1f69, 0xb7ec2d29, 0x44a73e0c, 0x442ff619, 0xf75c2fd9, 0x45534e17, 0xeb555ca6, 0x3f7b5c9b,
+    0x54acdb5e, 0xae65e509, 0xc08fa3d3, 0xe74ba672, 0xbe4dd0e5, 0x1328d744, 0x11ba6da3, 0x7c7ff684,
+    0x3f53dc99, 0x33bbfa27, 0xc9c16a49, 0xa00b27b4, 0xa6cde364, 0x756a02fb, 0xe4b49459, 0x730c90c0,
+    0x4f95d4cb, 0xf84d5ee3, 0x56c51ff1, 0xbdaab1b6, 0x36c9c681, 0xa59d9980, 0x95adfeb3, 0x4a845be3,
+    0x64a64989, 0xb6c3a6bc, 0x719ed0c4, 0xa4f2d9e4, 0x35c93a66, 0xd3e43df3, 0x3644952d, 0x0a1d50db,
+    0x3a47946b, 0x55114450, 0x1fe04d1b, 0xfe333ea2, 0x1f7a1f80, 0xe6dd55ab, 0x015bb25c, 0xaa3fab36,
+    0xdaec4c1b, 0x35545435, 0x9a38987d, 0x00263afe, 0xaaa52ab2, 0xb6f7e297, 0xb9a8939e, 0x551ada74,
+    0x6a22c72d, 0xa24583de, 0x8541d1b6, 0xd130f00b, 0x72371783, 0x68763611, 0xf51397b1, 0x7ed41956,
+    0x45caa4ed, 0xfca42435, 0x4ad2c337, 0xbd19a2dc, 0x10af41fc, 0x6f264773, 0x3f35a16b, 0xa1afcfdf,
+    0x31d46e14, 0x8bb09b04, 0x5c432372, 0x13a03bac, 0x6e358554, 0x8349ff39, 0xb0ec2f9f, 0x41d3168c,
+    0x2c04063f, 0xfc54404c, 0x3fa7a128, 0xb1094616, 0xf482e0c6, 0x4b6b1666, 0x06c614bb, 0xdcf6f8a8,
+    0x3864fea4, 0x58261db8, 0x68314bed, 0x81a3ee1e, 0x3eece564, 0xed8be9f9, 0x440ad769, 0x92f9d8fe,
+    0xb71a97d2, 0x54510cc4, 0xdd3c34a2, 0x9a427907, 0x52315d7e, 0xe19eb3e5, 0x78e5bd11, 0xe41d7333,
+    0xfbda60ac, 0x12be8a03, 0xe84c690b, 0x7412623d, 0xcfc28af4, 0xf3c12976, 0xf63e9e99, 0x815db859,
+    0x849e8b75, 0x3110fd23, 0x3fe6077c, 0x3df28049, 0x9724bc39, 0x7f784b9a, 0x110ca1b4, 0x80dd3852,
+    0x595ac1be, 0x2e9fe2bb, 0xa9cc4c49, 0x3b73475b, 0x2d61ff50, 0xa547cb22, 0xccf80592, 0x61826dbd,
+    0x37ec532c, 0xbc2660bd, 0x7ca651c0, 0x95ce70fd, 0xf7575dca, 0xd7f2a268, 0x604825ce, 0x9b2c3617,
+    0x06194f94, 0x3da2d0f3, 0x83dbed51, 0xb751c6bb, 0xfa7003a3, 0x76a14a4a, 0xb501d7cb, 0x4d2aceb4,
+    0x82f2091e, 0x98208d91, 0x0ad7d0b2, 0x5d1bcee1, 0xb47f38ff, 0x16c0d3fc, 0xa1e9af4c, 0x395a5c23,
+    0x6c6b74db, 0x735bcdc8, 0x17a4595d, 0x2963ed27, 0x07d9c070, 0x5df8360b, 0xd8382040, 0xeb502200,
+    0x5ddff02b, 0x0c3896e1, 0x77717dd1, 0x37d64fca, 0xe965d392, 0xa4c7ae26, 0xdc1f633b, 0x56a8eec4,
+    0xdf3cfe44, 0x9b967985, 0x685ef10a, 0xbca894cb, 0xfe3ea558, 0xae1b64ff, 0x6abd3d0d, 0x97c5a84e,
+    0x2bb0259b, 0x84760df3, 0xac36e734, 0x10a927f8, 0x39b7b4d4, 0x7f2f7a58, 0xfb2925f7, 0x7b0ab39d,
+    0x510376e9, 0xe45468c5, 0x8e87b6d4, 0xfa9bf92f, 0xcd1cf287, 0x29de7586, 0x7a848108, 0xc9977c09,
+    0xc56a7177, 0xa49175e8, 0xb1db5f61, 0xc8cbefcf, 0x80a67780, 0x3cce6d75, 0x44f847a4, 0xceb61696,
+    0xd799e4f5, 0x8cd501fa, 0x3171cc9f, 0x85c88b77, 0xca4a3cb3, 0x90b9fc89, 0x76cc9fa3, 0xb1674ba6,
+    0x4ac185f3, 0xdd4c1e95, 0x8e063043, 0xab1ff929, 0xfd35300f, 0x7d8ad036, 0x55e92977, 0xf99de01b,
+    0xa45f0486, 0x5f6656f1, 0x15d3d91d, 0x5b618361, 0x5f556697, 0x376ce36a, 0x86691ef7, 0x30cb6bcd,
+    0x3c0cdb13, 0xb6fb5697, 0x65b43649, 0xf06a5cbf, 0x4438d134, 0x329cd383, 0x6f0119f4, 0x296bb3c9,
+    0xa868d0e5, 0x7f45955c, 0x8ea73bf2, 0x0254c220, 0xe696bf9f, 0x25107395, 0x91638aa8, 0x7d79b2c7,
+    0xbbfeac68, 0xcd016097, 0x82c2e322, 0x5b57e840, 0x339f78c1, 0x399443c6, 0x51b4a710, 0x29b64d52,
+    0x29f05866, 0x99f26f73, 0x66b99cdc, 0xa318a0ed, 0x05898da4, 0x678f8225, 0xdab1d4a0, 0xfb5bd4fb,
+    0x78332fcb, 0xc4851305, 0x6c4caf88, 0x4638f10c, 0x90a6825a, 0x3d918bd9, 0xdf264bc6, 0x9d92bb71,
+    0x182e6f8b, 0xaeae0846, 0x69ecb921, 0xe330072a, 0x60d0ccef, 0xf2cdc8cf, 0x00ba7e62, 0xf4d99a13,
+    0x9b9bfc0a, 0x4d0d2f19, 0x18d0772d, 0x5545ab29, 0x336de91a, 0xd1d788bc, 0x293213c0, 0x167ff35d,
+    0xf8925115, 0x790ecc1e, 0x675bf575, 0xc9141ed1, 0xeabb1190, 0xbda817ec, 0x76094bb3, 0x91a6db4b,
+    0xa9e579c7, 0x48dc171a, 0x49a206ba, 0x62d6f743, 0xce819f83, 0xb81cd45f, 0x943b254d, 0xb97e8635,
+    0x543aa459, 0xcdf4a03e, 0xcc1bc588, 0xbc524bf8, 0xe5a3a425, 0x0d081291, 0x82de1183, 0x2191a527,
+    0x47637b55, 0xdcaca13f, 0xbeda3be6, 0x3ff91af1, 0xc9fcd67c, 0x1e215034, 0x2d21b780, 0x33ddaec7,
+    0x36d3f1c7, 0x3cb95d32, 0x7a90964e, 0xcee57f2a, 0x33a40f8a, 0x2d9ae2f1, 0xe782fdb6, 0x908ffa6f,
+    0xaa2c73b5, 0xc21e2004, 0x780a479f, 0x474a4f2c, 0x614668be, 0x93da9b47, 0x919e7c22, 0xe244dfd9,
+    0xa6d1ec6c, 0x0ca75c38, 0x4e7836f6, 0x76a9af7a, 0xcbf08a63, 0xb6c36237, 0xe073ecf9, 0x86e57c49,
+    0x100ce6d5, 0x2912dd65, 0xc66515cb, 0x061666a9, 0x6643f781, 0x95a762de, 0x67508009, 0xcbf67496,
+    0x315d971f, 0x0afb47e6, 0xe2e59c08, 0xda8674b0, 0x16ec101d, 0x3c240a64, 0x7418b34f, 0x9a1b9fc0,
+    0xa308bfe1, 0x16ad4cbc, 0xee120c1f, 0x0db2d737, 0x0ffd94dc, 0x5efad959, 0xf95eca8e, 0x0c46e306,
+    0x96da1d8f, 0x1e13c071, 0xcaf93d5d, 0x3c1c67ac, 0x2b3f7a8f, 0x41eb96a9, 0xe7534e73, 0xef039c06,
+    0xc9680864, 0xc33c94b1, 0x77d19890, 0xca95f9ce, 0x0554a543, 0x59a395ba, 0x48d32331, 0x2b5d35cf,
+    0x988a680e, 0x82406168, 0xd651fd27, 0x9d858ecf, 0xb38f04fb, 0x9aac6e99, 0x3601f3ba, 0x27251870,
+    0xe42f527c, 0x52baf3e8, 0x25e7be3d, 0x9a066e12, 0x6ec54c76, 0x14a6deac, 0x5955e916, 0xd14a858c,
+    0x2bded7d0, 0xef1268da, 0x5640b834, 0x18750ddc, 0x423c37d3, 0xce897315, 0xf945c858, 0xa85d34ba,
+    0xe2a061bc, 0x5b7cb014, 0x3dfa9c7d, 0x2a37ba6f, 0x87058c96, 0x3c45afea, 0x24162e3c, 0xada5d241,
+    0xe8e0f4ce, 0x457a65d2, 0x47c14ad9, 0xf019e068, 0xf27226b6, 0x24b9042c, 0xa342b408, 0x7f59ee1b,
+    0x96546bde, 0xf8b038c2, 0x2b8fa593, 0xf3856802, 0x84a435e1, 0x0a3b1e60, 0x8d77abfe, 0x96e098fb,
+    0x46b9bd51, 0xd6644416, 0xe950a7bd, 0xd7a6cdcd, 0xc93c85a2, 0x3dda1c62, 0xe15735ad, 0x2415a297,
+    0x27231c21, 0x88c3ccb2, 0x6891d61d, 0xf14dfc6c, 0x33b8eb23, 0xc0b04528, 0x9dad37ad, 0x9eec4bf5,
+    0x04c27e67, 0x8f0122c4, 0x7969015f, 0x9f2e80c0, 0xa7c14b89, 0x184c2e85, 0xd032b38f, 0x9426e4da,
+    0xce6c8041, 0x4d4187cf, 0x15c0811a, 0x76410e43, 0x486f3dfd, 0x3b6c3685, 0x54d96eb6, 0x03d57313,
+    0xbb4a186e, 0x869275be, 0x60bad176, 0x1161637d, 0xfe1353aa, 0xf530371c, 0x6c5115c8, 0xf1502651,
+    0x2bda4589, 0xb720914b, 0x496717b4, 0x2030c95f, 0xe06745d8, 0x0a3250f0, 0xe570784c, 0xc024320d,
+    0x073cee45, 0x1618f166, 0x3636b48c, 0x4fef0875, 0xff8f31f1, 0x7ee543de, 0x5dbfac83, 0x4f8d1e6e,
+    0x8e239329, 0xd82d98c5, 0xf154c553, 0x5897663f, 0x1c6fd877, 0xc6e8db11, 0x650ea5b9, 0x923439dd,
+    0xcd9d81fb, 0x1be213de, 0x04f78c7a, 0xf40d2e60, 0xbbd7a81a, 0x14ec7baf, 0x8131a6d2, 0x65cbbe26,
+    0x272954bc, 0xe4fed249, 0xb8da2691, 0x9c0ccff0, 0x5e52697d, 0xfb82a5bd, 0x9ee8791f, 0x1ec9da3d,
+    0x56e9ccb9, 0x50fcd41f, 0x42953b66, 0xfdad0a4a, 0xb156b840, 0x3e61f68f, 0x786c4a3c, 0x90797879,
+    0x12ea0a9b, 0xfba3f364, 0xeb428769, 0xd5477f1c, 0xe727f904, 0x9e9482a9, 0x4bed5b6a, 0xe196897f,
+    0x8431821d, 0x17940be2, 0xce0fdc5a, 0xb0458cad, 0x3cb14c6f, 0xc3f83620, 0x31bfc457, 0x31c1564a,
+    0x86d88a9c, 0x114c5edd, 0xe2c247e6, 0x34f7e384, 0x11bd3b43, 0x41277c06, 0x325443f9, 0x03fa33e2,
+    0x39a8b007, 0xd1c9a999, 0x371ea8b5, 0x12ad610e, 0xcd135285, 0x688d0ae6, 0x8af505e7, 0x3e8de8a1,
+    0xeedb620e, 0x20d93c63, 0x22a7c19b, 0x08e37e7b, 0x489e97a4, 0xd00fa73a, 0x8ea0819c, 0xa49e3c0a,
+    0x26693a23, 0xcda87418, 0x4b9ed479, 0x2c4f23c8, 0x41388f4c, 0x5c2d5709, 0xc96a3451, 0x8637bf7b,
+    0x9f824781, 0x787d0d5a, 0x4c778b4e, 0x41f3d810, 0x43e11f4a, 0x7b81e21f, 0x5e12aa4f, 0xed5775b8,
+    0x03476c80, 0x9537bdea, 0x13f84efe, 0x8a859b9a, 0x46ba57fb, 0x607ae77b, 0x62f4b03c, 0xd6f7bce7,
+    0x0f22b0a4, 0xc0bf0c40, 0x292f5df3, 0x433a5ebc, 0xe057a963, 0x8b29c4fb, 0xb4a33a25, 0xe001046e,
+    0x4290a8fd, 0xe00c55ca, 0x58bd37bc, 0xeb7f911b, 0x2210b7fa, 0x5c30df27, 0x9eb236fe, 0xe9e79a9b,
+    0xaa277429, 0xaa9741fa, 0x6d830ae1, 0x041953b4, 0x8f370ac1, 0x3990f272, 0xc9515725, 0x23b0a0ee,
+    0xd8c3095c, 0xf53e1784, 0xa26ef22d, 0x5569d330, 0xbacbab28, 0xa5e0908c, 0x74544688, 0x62828499,
+    0x1fbecadd, 0xe1876026, 0x5cdd4853, 0x3d439416, 0x4ecc0d32, 0x687b8b07, 0xa8df5118, 0xad12455f,
+    0xee75e6f8, 0x3b3462c4, 0xd3ef788e, 0xcea761fc, 0xa00484f2, 0x49337cab, 0x5f8e9c27, 0x2625aa59,
+    0x4d70fc99, 0xd3884891, 0x83e076c6, 0x534d3b7b, 0xbf9ddb3f, 0x4e98ef51, 0xfcfd0c99, 0xe7d4186e,
+    0x98d1afe5, 0xf9ed81cd, 0x8077699e, 0x96d23b08, 0x562ae050, 0xdcede36c, 0x5738ae1a, 0xfc922c0d,
+    0xf327bae3, 0x11a85b9c, 0x52ccb259, 0x08afd3f5, 0x253fb120, 0x8f5dadc1, 0x11b52ac6, 0x4f5c60ba,
+    0x3e160ecf, 0x7d71f93f, 0xee256f84, 0xd3bf26ef, 0x300ab974, 0xd2e4665e, 0xbab23cee, 0x0f1ec3e4,
+    0xf81ccdbd, 0x153c547b, 0x0c1ea347, 0xecc8bdbe, 0x43da8f01, 0xe8c8819e, 0x65c30649, 0xa45601ec,
+    0x29d13463, 0xf1ee7f5d, 0x52e8fe4b, 0xf2e183a2, 0x0811e254, 0xfa197139, 0x15680905, 0xbfb7367b,
+    0x00000000,
+    0x92015971, 0xf5850d7b, 0xaad8eb42, 0xce8f892f, 0xf7a77547, 0x67419943, 0x2020b9e1, 0x53a46dab,
+    0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000001774508604237321510130185077851573570199319728240522608\
+                         10910693159335763699560039874558361990664932998233037501529828597054346100736 */
+  { 0x00000000,
+    0xfe3bc027, 0x61ec02cb, 0x148c2ec8, 0x08974d70, 0x282a8bb6, 0xe862e658, 0x61cc552b, 0xd344c94b,
+    0x174ce9d0, 0x815f569d, 0x695d9040, 0x3039e626, 0xe83bb099, 0x7401aec4, 0x6f98a532, 0xaa48402b,
+    0xd9473ca8, 0x86e2d78a, 0x3bc766be, 0xf2e79dc8, 0x1573e1ea, 0xfe019ee1, 0x79858acd, 0x41411731,
+    0x92be30e9, 0x7e9e09c4, 0x4d963c7b, 0xd40796af, 0x298f920a, 0xc451c650, 0x057db4a0, 0xd8f48e87,
+    0xcf8bc372, 0x54e64249, 0xdd98297d, 0xe1b61f7a, 0x1e611d51, 0x87a1887d, 0xc600a19f, 0x2c20b388,
+    0xb33da6d7, 0xa4b538b8, 0x5370f756, 0xb332b475, 0x22d36de4, 0x41b6f443, 0xb53e9738, 0xfe693275,
+    0x6b59db30, 0x06f39f8a, 0x1369cb47, 0x2ccc2bdf, 0x7780ca90, 0x95626cfb, 0x38f90823, 0xde585c76,
+    0x45737ea1, 0x15512640, 0xa18cc311, 0x7fba404f, 0x75090d02, 0xf71cde9c, 0x9143c499, 0x618d25cd,
+    0x34bc9702, 0xdfda2c3f, 0x8b2c6025, 0xb353065c, 0x836cc39c, 0xcf7fbab4, 0xb3266a6e, 0x707569fa,
+    0xabae9fff, 0xe8497aa5, 0x6eb19be8, 0xa481386e, 0x097ac4a0, 0x16073b83, 0xfb89aaac, 0xea135ff8,
+    0x4216d1cc, 0x137bc452, 0xd6f1f572, 0xf76ce0c3, 0x38465edf, 0x24180f2d, 0xf1e332bb, 0xd79612af,
+    0x22dcdb7a, 0xc902ac62, 0xe34cab95, 0x0d39e627, 0xb33707c4, 0xa6dadee6, 0x52db378b, 0x13401ba5,
+    0x6cedff6e, 0x380ae664, 0x44baac2e, 0x1ad05912, 0x6661305e, 0x5ea4e7b8, 0xe8f3bc3a, 0x257c4da8,
+    0xbb8d4ca8, 0x5263d3d2, 0x57c15e68, 0xc4910c07, 0x50e346a5, 0x617f258e, 0x317cb817, 0x047b9a6d,
+    0xea1acd2d, 0xd0389298, 0x617b6703, 0xbdec5410, 0x96589478, 0xaf2a12fb, 0xbcc96b17, 0x73401b61,
+    0xbdce9690, 0x469362b5, 0x76e48b51, 0xb07fb192, 0x7df0ab7f, 0xc3e87c79, 0x8c318f95, 0xc093f6df,
+    0x6e515fde, 0xd41c8b5e, 0x3cf083e0, 0xfcc00d60, 0xaa6952fc, 0xe450d649, 0x3aea513c, 0xfb8c0ba8,
+    0xa6af7fd4, 0xe66b7318, 0x9da81718, 0xfb1d600d, 0x2d3bd896, 0x6ee2be23, 0x05ab93d9, 0xbf0eb741,
+    0xcd1e6731, 0x76f19e09, 0x491f643e, 0x317ffc9f, 0x5c8abb51, 0x500507d8, 0x2bae9e08, 0x4e954985,
+    0x709f3782, 0xcde92ca2, 0x557d1df8, 0x14c4f6d3, 0x1f2bb1ff, 0xd3c80095, 0xb2f8c16d, 0x3a8e5ddb,
+    0xc2320950, 0x094d33d7, 0x3b832984, 0xcd2719f3, 0xcbf783ee, 0xc61a7790, 0x3d2c1202, 0xe0c16ceb,
+    0x2ac8b83e, 0x40fbf6bf, 0x4b05d8eb, 0x7da8fe66, 0x790f2577, 0x62a55172, 0xca3dce93, 0x0a18f798,
+    0x1b051f22, 0xf44f1e62, 0x84c177d1, 0x3fb6ca61, 0x4b098d5b, 0x51d3c177, 0x888e9b17, 0x69084b5e,
+    0xca985c74, 0x40784fff, 0x73737e9e, 0xa2793a2f, 0x1a17f2f6, 0x8bec8152, 0x5c83b22b, 0x6defeb63,
+    0xda7313d4, 0xb5055cbe, 0x6c814201, 0x5dc6964c, 0x24eec2c6, 0x25890744, 0xc6ebbced, 0xade6d42d,
+    0xd9ac818f, 0x42049d2e, 0xd7a54cb4, 0xeaf263e1, 0x991dea4c, 0xe0e69517, 0x864a6418, 0x0051ea4a,
+    0x429ee52b, 0x41ed2164, 0x1b96462a, 0x2de489cd, 0x8eb20936, 0x6b17cad9, 0x6bb66eaf, 0x3d913bb9,
+    0x3f1e42ec, 0x29f5241a, 0xc1a8ed92, 0x46dda0c7, 0xf991910a, 0x82bbdd75, 0x73efe06d, 0xf27d07a5,
+    0x8f8b3da5, 0xb252b309, 0xbe5a0a4a, 0xa592d75d, 0x9bc11a84, 0xe00789bb, 0xeda7a690, 0x7945301b,
+    0xc628ee2c, 0x9785e5c7, 0xa899ace6, 0x13c7698f, 0xb7c8b1bc, 0x70f86755, 0xdcd20644, 0x19a11161,
+    0x67cb7d46, 0xaee850ed, 0xcb002f59, 0x4426a34f, 0x824a68aa, 0xcd07476c, 0xbe9acee0, 0x7ac263ef,
+    0x6ae6cd71, 0x7c85f7f4, 0xaed6b29d, 0x5b76184c, 0xb5d362a8, 0x218a0da9, 0x40f47825, 0xd87763bb,
+    0xc8ec63c3, 0x208d059c, 0x82f39aa7, 0x621f6670, 0x865762af, 0x076087f1, 0xeb6969d2, 0xcc15f0f5,
+    0x4b189f9f, 0x2ce34e6a, 0xd607b905, 0x81e31ef0, 0xb6e99fc6, 0x6291faec, 0x0d64f96c, 0xa3c8cae6,
+    0xa33e3ed1, 0xdeb36cfe, 0x3ea59026, 0x435f4d5f, 0xef545149, 0x5a205345, 0x9bfa9b37, 0xb92ac09c,
+    0x7716763e, 0xee7d54a5, 0xec76356a, 0x8397769a, 0x2a45418a, 0xc524e84e, 0x46799906, 0x2ca85c55,
+    0xe9ab72f8, 0x6ba12fc7, 0x6ae1bb57, 0x027ac121, 0xc3e4655d, 0x43ed7fa1, 0x64aacaa3, 0x8bd0b5d6,
+    0xb18c5b12, 0xc889b899, 0x1127c461, 0x0a33b84b, 0xdaea80c1, 0x14e196bc, 0x63a679ab, 0xb2e34efd,
+    0xe65e2799, 0x5213c973, 0x21e9d105, 0xabc6351d, 0x7b83f17e, 0x36f16b2d, 0x8b543400, 0xf27e9e45,
+    0xff7ab843, 0x43ee8ea0, 0x015b5088, 0x6cbb6ce9, 0x6b469bce, 0x66333ce4, 0x0278fd01, 0x34b435ff,
+    0x5b8fefc6, 0x43f91126, 0x7b721fda, 0x25f3c8fa, 0x343c4953, 0x916e1005, 0x93455fbc, 0x6528b653,
+    0x433d80d2, 0x7cde3591, 0x27ac8e39, 0x1f2fd87b, 0xf5381e90, 0x1797bb8a, 0xe19dcd7f, 0x56b5c268,
+    0x76d536bf, 0x17a43014, 0xd697ab53, 0x12d0251e, 0x749d0b38, 0xc84ca48a, 0xea400a28, 0xc898af1c,
+    0x02f0ebf7, 0x8dc67094, 0xdace5ca3, 0xd095db95, 0x58b566ff, 0x9bbabc6d, 0x18da61dc, 0x74b11508,
+    0x35e8a3b6, 0xd05aca98, 0x138bc929, 0x63411f2f, 0xcca26188, 0xf73ca04f, 0xf568dbe3, 0xa2021420,
+    0xbcc86efe, 0x579715c1, 0x4857c7a7, 0xa14cb342, 0xb6435bd9, 0xc64f4292, 0x5f3fa462, 0x3c9e9542,
+    0x9632a2c0, 0x5bcf9146, 0xca1dc0f5, 0x07044957, 0xc2932e4a, 0xc0e19be5, 0xf88d98bb, 0xb0d3a805,
+    0x3be1032c, 0xb83352e9, 0xcc2254c9, 0x18ecc955, 0x0036a364, 0x1eef0889, 0x9637ac3f, 0xe9c20587,
+    0x2d8f977e, 0xf6f757eb, 0x0dd0448f, 0x70f0feb2, 0x11eb51a0, 0xecb17e94, 0x47440bae, 0x428e234b,
+    0xb0a7dcc5, 0xaa2a23e1, 0xb3f985a6, 0x4e39cf9f, 0x492965bc, 0xc145af21, 0x0e1627d2, 0x6a5cad8d,
+    0xee0d25b7, 0xbb8ab8d1, 0xc04ef147, 0x3f192b4d, 0x7d9ddf9a, 0x091a97a4, 0xeefaddde, 0x36d8064e,
+    0x4869f592, 0x92cbf812, 0xe1d9608d, 0x70bce6e5, 0xbc2f96d7, 0xb7dbad6c, 0xa9f6b232, 0x29e6bfbb,
+    0x1e54efc8, 0x468ca3f8, 0x904ab991, 0xd85c4d7d, 0x13eac77c, 0x85b9be0d, 0x5e611dca, 0x1f0e95a9,
+    0x8e24fa6f, 0x15263a1a, 0x6057a5d9, 0x6c9943c8, 0xdcf9c3c8, 0x7f0e3a27, 0x3aa561f0, 0xa5843db8,
+    0xfcd48bfd, 0xe62195d9, 0x0f013198, 0xb113d9d3, 0x9add22ba, 0x544ac79e, 0x31d47922, 0xed7e18f5,
+    0x129f9518, 0x17e092d8, 0xa97aabfa, 0xdfe8dfc9, 0xccf842b4, 0x2b5774d5, 0x3d94b2a0, 0xd62fdebe,
+    0x11f74420, 0xa5c3ef9a, 0x075a2e9e, 0xd4d6ff97, 0xc74326e5, 0xe5f9b72b, 0x559e4a57, 0xdd68c5c5,
+    0x6b785a3c, 0xba3bb3d9, 0x54d337aa, 0x8e80bba9, 0xa6069754, 0x8881e9a1, 0x360c57bd, 0xf3b83887,
+    0xf65e85c9, 0x87ec14c0, 0x9b896c34, 0xb257cdf0, 0x10c5cf9c, 0x0c504bd1, 0x206f764c, 0xabe06582,
+    0xeb0cc15c, 0x2ac68255, 0xf11dbc28, 0x3fceffa8, 0xd2634c82, 0xe2b26aef, 0xafb4cedd, 0x6c6efe00,
+    0x47e3603e, 0x4ce08ac1, 0x81739612, 0x62d69d9d, 0xd399a70a, 0xe541f33f, 0x10eda5eb, 0xb2ce5d3f,
+    0xe0044ef6, 0x03f08c21, 0x4bf55962, 0x7b825960, 0x58dc436f, 0x0d78459f, 0x9dab1abb, 0x2a3d8748,
+    0x757a55b4, 0x2a3bb087, 0x159d9134, 0xc4452edf, 0x49afe30c, 0xcf0ef4f9, 0x6a0d2c6b, 0xc84d31e5,
+    0x054d5f85, 0xc7937001, 0x0721bc38, 0xff8fb9a7, 0x9eb3db0a, 0x7bac4e33, 0x8be57bdd, 0x83aa580e,
+    0x5f7792b1, 0x691ce26c, 0x14de0593, 0xa471aa07, 0xeb8af841, 0xa7e34e9e, 0x4cb6e79c, 0x7f081571,
+    0xb68d7657, 0xf88ecb7e, 0x7f2ce12c, 0xac2c0032, 0x50a5d2c9, 0x6b16b7d2, 0x97a6b4c8, 0xd6069aba,
+    0x430a99e3, 0x15e127fe, 0xb52650bc, 0x9cc7452a, 0xbef39267, 0x95f31550, 0xf6bfe74d, 0xa475f3c8,
+    0x99ccdca6, 0xd4b592cf, 0x0c6cc283, 0xf0c0669b, 0x5b171074, 0x49cc91cf, 0x0bcaf187, 0xc915c666,
+    0x6e314ce5, 0xe91c08d4, 0xc3ff727e, 0x847ee678, 0xf5a99c53, 0x7f2b9477, 0x7bb5c472, 0x638bb0bd,
+    0xa8738c09, 0xe4677be9, 0x2fc2bc99, 0xc9045acc, 0x7b0eca61, 0xec375e94, 0x92ac68b9, 0x4cf4c1de,
+    0x06381b2f, 0x4120abb7, 0xcc3119b5, 0x75d8949b, 0x2165fe76, 0xe03da65d, 0xe84f2538, 0xfe64a4de,
+    0x681b16cc, 0xeab880ec, 0x2e8147cb, 0xe1b70470, 0x6fb6f451, 0x4c3abcf0, 0xd47a83b4, 0xd627d7f9,
+    0x38f7a6ec, 0x5c2a3186, 0xda0f22e4, 0x81bf6890, 0xf170c3f3, 0x5a701223, 0x2269d82c, 0x3c9e1ee9,
+    0xe05a8577, 0x56906d08, 0x76b0a95b, 0xe0dc7aad, 0xcfcf0c95, 0xf138048f, 0x9f99689a, 0x536d6f0e,
+    0x44988c5d, 0xf121766a, 0xb99ce96c, 0x4128d2e9, 0xc7975776, 0x26fe65a6, 0x03c51751, 0x40870755,
+    0x976b143f, 0x44c2f3d3, 0x621d6709, 0xf635c606, 0xabd1ef64, 0x746d355c, 0xca319363, 0x0dff6b0b,
+    0x050761ed, 0x11a80e09, 0x93535257, 0xf85d3ca7, 0x6d78d90d, 0xd44dd070, 0x85b4e5f5, 0x11187d8a,
+    0x0c1b292a, 0x8c009183, 0xd6a3d4e1, 0xf5a05e9b, 0x65e12b46, 0xe02c5dff, 0x777729b4, 0x1635d2d8,
+    0x206fae59, 0xd653caa2, 0x723c31ec, 0xc01ef2f6, 0xcb3c45e2, 0x0ae2c87b, 0xb5279b13, 0x4a82fcbe,
+    0xcf89d95c, 0x98b38879, 0x847e0649, 0x21684a67, 0x66317ec0, 0x7fb2d9e6, 0xacf45f4d, 0x54088e85,
+    0x101a1154, 0x9a0c9c21, 0x75131d3c, 0x072f0408, 0x27613416, 0x303e77fa, 0x7061339d, 0x2ef2ad17,
+    0x7ecfbee5, 0x375d0670, 0xd712c3c5, 0x6242f1e7, 0xf8b13698, 0x8e6a6adc, 0x120cc126, 0x1393f730,
+    0x11315a2d, 0xe0a6d8c2, 0xd9812578, 0xafb5ff3f, 0xcb817195, 0x3f39f3d1, 0x20adea0a, 0x4edd20c4,
+    0x69b0d3f9, 0x8cbea394, 0xf75c34a3, 0xcbfa6673, 0x5c56cafb, 0x437ab17b, 0x4b97d65d, 0xf60d1f93,
+    0xc0895884, 0xa0ce9845, 0xe4ca39d8, 0x0a750ab9, 0xc313ac56, 0xbbb33ce6, 0x64c7f6c3, 0x57284159,
+    0x2df03a72, 0xbc78729e, 0x13aabc01, 0xf28052ed, 0x2c505823, 0xa1c55084, 0x9f6a2259, 0x6c00a7e5,
+    0xc2ecf2da, 0xb94a71b3, 0xd2fc096e, 0xf76b9d3c, 0x592ace2c, 0x91545d42, 0xc7192c49, 0x18c1290c,
+    0xd5513175, 0xb8063895, 0xc37fad82, 0xc1b94a4b, 0x0b7e7e93, 0x046d6048, 0x771da99a, 0x54d438b6,
+    0x27adce2a, 0x7651b545, 0x67c6e739, 0x954f3c4a, 0xfadfcbad, 0xbcb8521f, 0xa22e0444, 0xdd380a81,
+    0xb567d9dd, 0xda5f1028, 0xd7635157, 0x333b17b9, 0xb6fcb621, 0x823ab273, 0x8da8b7d6, 0x5b6cf8b9,
+    0x54ad7593, 0xccf6872e, 0x2490acfd, 0xd9d5c365, 0x889da977, 0x7046e228, 0x0080a072, 0x39b169e0,
+    0x576d61d8, 0xb3546c5e, 0xcdd5f5b4, 0x17e77583, 0x61a8852a, 0x41a8ac55, 0xb229c9e2, 0x83064e83,
+    0x48da80f6, 0x7815eece, 0xea9da710, 0x8292fb3d, 0xefe61dea, 0x43be4441, 0x96ad36ec, 0x68b7814b,
+    0xb29f537b, 0xe1fe7c8e, 0x652e558a, 0x59b222f0, 0xd0b6f69e, 0xb56f7c90, 0xa75ba3cf, 0xb013ac42,
+    0x6d04d741, 0x5050361b, 0xf89984da, 0x737804df, 0x8b5f95d6, 0x32441441, 0x6fcdcc26, 0x2a8a3ef5,
+    0xb88dc006, 0x7c4675ed, 0x159c76f0, 0xaed0cdb4, 0xf14a797b, 0x541f6fce, 0xf430a90f, 0x41700adf,
+    0xa6d97d47, 0xfc852b70, 0x68b13838, 0x9449f199, 0x21edfe26, 0xb7109510, 0x6561ba5a, 0x32596415,
+    0x2a11a412, 0xc9ddb62d, 0xdddd12bc, 0x5d5fb402, 0x062e5101, 0x3123b809, 0xa5d81022, 0x5f817b64,
+    0xc4e1150d, 0x25e3108e, 0x5d246943, 0x57292f41, 0xd0d34ba1, 0xb38dca25, 0x85050581, 0x61c81704,
+    0x86fc973f, 0x3e214e87, 0xfc74420a, 0x43b3eff3, 0xe21adaa3, 0x718a2bc5, 0x26b3af7c, 0x6f0af551,
+    0xb8f0a8de, 0x9381588d, 0x73650d53, 0x38adcc12, 0x3145c90d, 0xb859db08, 0xd9bd1a81, 0xd8971c76,
+    0xc2f38bdd, 0xbf879b15, 0x9a88f844, 0xa85059b9, 0xf69fbbd1, 0x12b575ba, 0x93997088, 0xf28abe77,
+    0x8e2fe041, 0x24207fd3, 0x811ac94a, 0x2cef731c, 0x1925d86c, 0xaeb2b6da, 0xe2c0f83c, 0x41c20457,
+    0x716d77df, 0x34ee0524, 0xace3462d, 0x80bdec81, 0x7426d082, 0x20185d30, 0x52130e19, 0x77af32f1,
+    0x0f889199, 0xcff4b1e9, 0x347f9100, 0xcd96d820, 0xcf9dc32b, 0xdc4b5319, 0x39ce0939, 0xa5605629,
+    0x844d2c04, 0x88b68b4c, 0xa8b03fa3, 0x30ed43b1, 0x15a65fe2, 0xa27a6567, 0x623ad990, 0xe4813f6d,
+    0xf6079527, 0xe067ae15, 0x0e3165fb, 0x0a103a70, 0xd2bd73cc, 0x812130fb, 0x1da8406e, 0xfdde9e40,
+    0xc93ed35e, 0xf5bcbd14, 0xc6be10e7, 0x6fd129e8, 0xf5ba054d, 0x1cadae75, 0x2aba5869, 0xd68ef439,
+    0xba8b8dea, 0x04379556, 0x4bcbe621, 0x3ff744f1, 0x892fa305, 0x3bcca8b9, 0x81d87ca9, 0x60ebda9b,
+    0x903d5e5a, 0x10f74b09, 0x15ec0154, 0xe52c609d, 0x61d9cb4c, 0x1398cb34, 0x0236474f, 0x929c9609,
+    0x455701d7, 0x059a417d, 0x63d5773c, 0xdee93b29, 0xf3437c7a, 0xa81615eb, 0xe6e8e9a0, 0x31c9cafb,
+    0x6106e2ec, 0xf14bc9d4, 0xe64c90e2, 0x14af51d3, 0xaecc1e1d, 0x208b6faf, 0x2231d8e5, 0x51e5b789,
+    0x5bdf60fb, 0xfdb7a017, 0x7885371e, 0xf3334fa0, 0x29b0e343, 0xbe2f5b8f, 0x50008d1f, 0x819ed759,
+    0x7bb353eb, 0xea23b8df, 0x2723bd9a, 0xa5638c97, 0x9a7a9f93, 0x93c70575, 0x12555b72, 0x56cb11bf,
+    0xb58251f8, 0x41daede7, 0x8d3edf1d, 0x09076def, 0x1d78b3e9, 0xbd9c2eb5, 0x37d06ea7, 0x6e9e98a6,
+    0x764fa43b, 0xaa352964, 0x604584ce, 0xc0c75126, 0x207244a1, 0x11c1bca6, 0xb2027f6b, 0x80b679b3,
+    0x3d77e749, 0x3eacc7af, 0x75ae629f, 0xd4ebd1e7, 0x28a39bdb, 0xc66ce9b5, 0xae8e17b1, 0x488923b0,
+    0x13e331c4, 0x717a07e4, 0x8186a582, 0x7264b071, 0x63600858, 0x5d3192ac, 0xd7364845, 0x272347be,
+    0x92e5c477, 0x7e780973, 0xe5075ccb, 0x0a417d3d, 0x209b44e2, 0xdc5a5066, 0x95c74fb9, 0x345cb462,
+    0xddfa05fc, 0x413be511, 0xe6da6b07, 0x7617ae5a, 0xd1028430, 0x4392ed8e, 0x64636780, 0x0f3ef49c,
+    0x617034ac, 0x5500381a, 0x12a64269, 0x38e73764, 0xe8849dc8, 0x80a87691, 0xc0a9244f, 0x6d96990f,
+    0x5bcb6215, 0x929da4f8, 0xc07810b2, 0x2f9d4150, 0xc21a27ff, 0x5cbcb9bd, 0x49cb8cca, 0xf06b470f,
+    0x3148ba51, 0xb9e18b45, 0xcef3cbf4, 0x55bed779, 0xbda197c3, 0x4d94aa34, 0xfe08fe3d, 0xee562b38,
+    0x1963a616, 0x8cd84e88, 0xf22796d0, 0x037b286e, 0x4eef604c, 0xb9817775, 0x18165a83, 0x5e9f3c40,
+    0xdca77701, 0x1c6d7b15, 0xe1c6e4b0, 0xa5ca8373, 0xa6b28cf9, 0x342949b8, 0x2fb0110c, 0xd2bd3fea,
+    0x30d310c4, 0xc7d5bb44, 0xeee36602, 0x44821d81, 0x347929a5, 0xdf663b37, 0x956d1993, 0x9ca6b6b4,
+    0x00000000,
+    0xc900acb8, 0x7ac286bd, 0xd56c75a1, 0xe747c497, 0xfbd3baa3, 0xb3a0cca1, 0x90105cf0, 0xa9d236d5,
+    0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000887254302118660755065092538925786785099659864120261304\
+                         05455346579667881849780019937279180995332466499116518750764914298527173050368 */
+  { 0x00000000,
+    0x5bac702d, 0xb3b7d06d, 0xb47ded1a, 0x0b39b7bc, 0x156f4b04, 0xdcbfd4d2, 0x8ab83744, 0xf4388af9,
+    0x2a31defb, 0xd99b58db, 0x718b13fb, 0x33c7a4af, 0x618368c0, 0xa8b087b5, 0xef0fc4b1, 0x8530093f,
+    0xe79b42e2, 0xa7fd449f, 0xb0ba8b9f, 0x4f909379, 0x7d0200f2, 0x387bdc43, 0xe0e0db40, 0xd1f28c29,
+    0xb7847df5, 0x77215959, 0xfd6a288e, 0x53323f56, 0xbd888f22, 0x49ed1799, 0x2e5d30cc, 0x9cb42097,
+    0x20e49892, 0x404e7c13, 0x04622b00, 0x0c261e38, 0xf3dc8766, 0x5f307ed4, 0x2bc5ccb2, 0x6bc341f0,
+    0x406c7d30, 0x6e21818f, 0x9e008c79, 0x39c37b1e, 0xcdc4253f, 0x108eb116, 0x7fa348a1, 0x0ba0608a,
+    0x1ac77ad8, 0x0242106f, 0x0c34c105, 0x30559e01, 0x27ccca7f, 0xfb0774f4, 0x96fb73f3, 0x835b59c6,
+    0xe3920273, 0x1fb48be8, 0x2f18b3a8, 0x1cbd4dc4, 0xeb909955, 0x6d89f6cc, 0x5c0a3b19, 0xc85fb296,
+    0x9cb7f8b0, 0x7cecdb65, 0xfcc09e13, 0x25f4b64b, 0xda3e112a, 0x30cb19ee, 0xb7258211, 0x6187c45d,
+    0xde3d4698, 0x5e8cf5b4, 0xf54968cb, 0x4ffeea32, 0x91ef6269, 0xbff84d21, 0x21358128, 0xe69d4ee5,
+    0x1e434723, 0x9450b001, 0xece22fd0, 0xa7210a77, 0x61be6c86, 0x784b3b3e, 0x2ecf9093, 0x1778c274,
+    0xc7002067, 0x5bb73d71, 0x6a236cc4, 0x7a5acc1e, 0x85ca0026, 0xb2246acf, 0x8adbf9b5, 0xafa7263a,
+    0xa15f8cf6, 0x4a18f524, 0x704e1e8f, 0x7e21c682, 0xed12b2e5, 0xb65a4fb5, 0x1165497c, 0xd7772ae7,
+    0x7d064a6f, 0x5cd88582, 0x6e9ca583, 0x38ba01f6, 0xe1ecc065, 0xb434fcce, 0x8985bb1a, 0x3df00d38,
+    0xcd0f651b, 0xf5cdac51, 0xa5e134e3, 0x5fa4a5e7, 0x4060c851, 0xa3a7a19d, 0x45fc375c, 0x16f615aa,
+    0x7f754641, 0x424cbb3c, 0x16ae0f48, 0x1fbe2ec9, 0xfc72619c, 0xe30a1ad3, 0x0e43d994, 0x09d871a6,
+    0xe5e2a005, 0x6a76a8d5, 0x154c0eee, 0x63115aaa, 0x02869369, 0x0fa09372, 0xbb143d3e, 0xc8a07709,
+    0x32a8d2bc, 0x2830fa10, 0x2833d0d7, 0xe0d99c58, 0xe670bd10, 0xf64bf32d, 0xcd91bfff, 0xe19853c4,
+    0x073dcb00, 0x15cdf8bb, 0xa43e4faa, 0xe047e766, 0xb389e1ab, 0x9443d9d5, 0xc71513ea, 0x24d5a158,
+    0x5217797f, 0x2e7b4321, 0x9711445b, 0xd29a4885, 0x949291c8, 0x8a0ad9b8, 0x2fc9f380, 0xb54320b4,
+    0x6e7ff386, 0x0c0c0bee, 0x53d3cf16, 0x303e3560, 0x49563a35, 0x756e446e, 0xa66913f6, 0xa93f9785,
+    0xdbe976b8, 0x246a05dc, 0xb367e694, 0x9e964b10, 0x57598923, 0xb59640d4, 0x8f32f440, 0xa92f8543,
+    0x400fe4c8, 0xa27ae784, 0xdac96bf5, 0xf73df0f8, 0x519fcab6, 0x0447f631, 0x6a341c6e, 0xb6625d69,
+    0x3aac6177, 0xbf7c1baf, 0xa127c9cd, 0x2d10752f, 0xd165546f, 0xb2584874, 0x5f81b04a, 0x9506f004,
+    0x28f2d418, 0x71b8689d, 0xc4a28e14, 0x34bd1594, 0x0c9f9088, 0xde5bf565, 0x8604e5d3, 0x77fd951b,
+    0xb2223354, 0x70f7f94e, 0xb0c71e0f, 0xc20e1236, 0xcaa06357, 0x28b687fd, 0xf1b0be6b, 0x4deadfb9,
+    0x0422793b, 0x3ca7fb8f, 0x523ac7c1, 0x9d0331a6, 0x995cce39, 0xf5f35bd5, 0xc304d9fd, 0xf0e1f725,
+    0x24fb3007, 0xc40c7807, 0x8c583362, 0xdc97ae36, 0x86c30de5, 0x11825dc5, 0x61466c19, 0xa5c53b88,
+    0xf69455ce, 0x6c998e1e, 0xd7763cdc, 0xe400870b, 0x40f3dbd1, 0x9ce3f739, 0x96bcaa6c, 0x2a94d7ff,
+    0xa0ac8bc1, 0xcc514511, 0x34eed505, 0xede21728, 0xa146d725, 0x8f547889, 0x985caabb, 0xe73cc6b9,
+    0x8bde0e30, 0x0628c30c, 0xd6f13153, 0x0ace407e, 0x9290db99, 0xcbc5353f, 0x3c507272, 0xb2687de0,
+    0xa119eef4, 0x7620f3a1, 0x41ce94bf, 0xe2380842, 0x2532e30e, 0x2da633f6, 0x3327d5ab, 0x36f0bac5,
+    0x0037ea6e, 0xea12b67f, 0x3a427a6b, 0x36fb2856, 0x6b02c07d, 0xd8007e0c, 0x09998c89, 0x24f7a2d6,
+    0xc0456300, 0x4037b17d, 0x9f474780, 0xcd843355, 0xb6d6b191, 0x1198f6d3, 0x9ac79916, 0x82c9c6e8,
+    0xa610fa3e, 0xd5f9dc2b, 0x36622bca, 0xd2d06f45, 0xcc694421, 0xdcfb840c, 0xa4ecdf3f, 0x48d87fc6,
+    0x2538fbe7, 0xb8e181ea, 0x82361031, 0xda7ba74c, 0xc78af34c, 0x0e95f93e, 0x5162b65f, 0xb909613a,
+    0xc34b9088, 0x863a51b8, 0xd0a0e704, 0xf4321fbc, 0xca8d84c9, 0xe862f893, 0x64729c2b, 0x09137c47,
+    0xc9601d50, 0x4b84ca0c, 0xd03f68f2, 0x6bda6f69, 0x6b8fa61e, 0x406eecfd, 0x341f76cd, 0x743cf6d3,
+    0xd657e0fb, 0x1d278d4b, 0x74d2ea1a, 0x302cdcd5, 0x8385518e, 0x7ed18c60, 0x606348ed, 0x2a920def,
+    0x0952283e, 0x936c44c3, 0x8879a3c2, 0xb445593d, 0x4f335533, 0x70449dbe, 0xae2882df, 0x6fbfdfd4,
+    0x5ab89158, 0x4f45fd8c, 0x02d6bfec, 0xded865b8, 0x133b0085, 0xd6f68e03, 0x5207c38e, 0xa5b028e9,
+    0xe86dcc54, 0xf2309d25, 0xfc464e29, 0x81011ebc, 0x4aa7da70, 0xaba8dc80, 0x76108635, 0x719c86f9,
+    0xa484d591, 0x494c138d, 0x877c4e1a, 0x0fc78acd, 0x2a8a5f31, 0xe64e45b3, 0xe2feaec9, 0x0fde582b,
+    0xbbc38353, 0x9bf8b1f7, 0xbb03d286, 0x10ec53f8, 0xe9d4cc1b, 0xe84eb501, 0xd803f674, 0x1a9b5af7,
+    0x51b34aba, 0x885e7c55, 0xde7de9d2, 0x9836372a, 0xcae1bc62, 0xc20e8dd9, 0xa6bbbf68, 0xb8d86bc8,
+    0x59611a47, 0x684c6ce3, 0x886393c6, 0x841c7d80, 0xcf0253e2, 0x4a084d25, 0x86b92374, 0x62293582,
+    0x05a8986d, 0x3f3603b8, 0x333912e6, 0x63f8c86a, 0x02db153d, 0xc958b793, 0x97f38b13, 0xe3ca849d,
+    0x494b49db, 0xdecfb3be, 0xd81175ad, 0x117a29f2, 0x46e95109, 0xc113151f, 0xb370d6e3, 0xba173340,
+    0x28b3453b, 0x50fef967, 0xaf3faf3a, 0xb7298c2c, 0x8e2cba74, 0xb8c159b5, 0x85e957d9, 0xd028f9e3,
+    0x02d3101c, 0x1d75d5af, 0xd4802c9a, 0xb6313f43, 0xdbe672b8, 0x3ee84275, 0xa3b63692, 0x8cd72191,
+    0xb5cb558a, 0xfef944e4, 0x46c941c4, 0xe146a175, 0x7821b7c3, 0xe9794575, 0x1e7f2030, 0xcc9f0a39,
+    0xc807fecd, 0xe2a430a0, 0x7491dce1, 0x33440a33, 0x6bf46f21, 0x8bb8911d, 0x40f239eb, 0x6cca943a,
+    0x3c110993, 0x798aa760, 0x35ef7d49, 0x58040d5b, 0x9db797bb, 0x8f6b0619, 0xaa51ddbd, 0x0bcd3502,
+    0xe43ac7ad, 0xc887bc36, 0x0c7d5a61, 0x836c5cc0, 0x2dcddb06, 0x1dfefea8, 0x06b7efc7, 0x0c1242bd,
+    0x3a991039, 0x84f34167, 0xc6fc4c59, 0xba92b687, 0x2563f313, 0xf43507f5, 0xebac1c13, 0xfbd7bf32,
+    0xd5ebf4b5, 0x49ed7b3c, 0x9ea247f3, 0x15d37c46, 0x917f6bf9, 0x2ac5cda9, 0xb7629c1e, 0xe3980019,
+    0x4f9a9c77, 0xeaf21cf8, 0xa3ced5ba, 0x23b9c34d, 0x347dc389, 0x9e3e4080, 0x49d51dff, 0x81e1e61b,
+    0x6ee4995a, 0xeb36843f, 0xafc11e28, 0x1738fc3d, 0xcdcb30ca, 0x75630f54, 0xb7254cc4, 0xf98be557,
+    0x7a538880, 0x0712a571, 0x09cfeef1, 0x85161389, 0xdeee35a6, 0xd99b89d2, 0x58885cc6, 0x5db56843,
+    0x40b34b7a, 0x658ba47c, 0xc6d93571, 0x2a2dbcbd, 0xcfcd4666, 0xc8f1e034, 0x18b0cc6d, 0x9c511d16,
+    0x7d66e5d1, 0x67a6ce24, 0x036c9675, 0xa3da9841, 0x12007edd, 0x74604977, 0xe67b5c6d, 0x6d8b0c41,
+    0xfc02b884, 0x8ef4de09, 0x1fb5729b, 0xfd7bd13f, 0xb4df18da, 0x5f14b4c1, 0x904affc7, 0xce13ae53,
+    0xee2586d0, 0x5fd5574a, 0x68e5b975, 0x7899b496, 0x10752d63, 0xb3c80427, 0xde0f387c, 0xb20cc05d,
+    0x00053f95, 0xfe4930a6, 0xb59da7de, 0x2b49589c, 0x2f996485, 0x74ba3449, 0x93a79b95, 0xb044e423,
+    0x1fb6478c, 0x91c3864e, 0x281e393f, 0x1529ccab, 0xf543e36a, 0x95a2b1bf, 0x70b5bda7, 0x8224f4cd,
+    0x53a65497, 0x4dea5608, 0xc0ee2465, 0x19212ba1, 0x6e877050, 0x268bca69, 0x9de52a47, 0xebf81336,
+    0x32607784, 0xa11ae818, 0x68230eb5, 0x68fc6179, 0xa840cf93, 0x9606f054, 0xcf7deb91, 0xa9f366b4,
+    0x390551ad, 0x0320886a, 0xc95019e4, 0x98010a40, 0x2532d4e2, 0xb05a6520, 0xece81925, 0xfaac2d56,
+    0x4e15de29, 0x7466e303, 0xcaa769af, 0x348f5eb3, 0x056837a2, 0xa2a706b3, 0xa5883eed, 0xb275ec73,
+    0x916119b6, 0xb7c7f867, 0x2829a645, 0xd3f8f553, 0xb47645cb, 0x6275b1f6, 0x82897018, 0x267d2119,
+    0x9f5c0abd, 0xeba7a852, 0x63fd8c43, 0xa48360a3, 0xfccdf3c0, 0x8e89381b, 0x68b44e7d, 0x9a337c50,
+    0xc06c2cb8, 0xfaae62ec, 0x5b622f9e, 0x4b8f6121, 0x6f5549a0, 0x10ccf770, 0xd99dc767, 0xd06c3c83,
+    0x4955751d, 0x2898cef1, 0xfed3cc07, 0x53730b53, 0xa3a44afd, 0xf510cdc7, 0x87a6835a, 0x9e561ad6,
+    0x45d7ca35, 0xcdef384c, 0xb58fe729, 0xfd8e0e2f, 0xfa59a46f, 0xf6a9ef4a, 0x0c4cc86b, 0x31732ceb,
+    0xabcb790c, 0x6f9d3a4c, 0x22346b95, 0x9efb24b8, 0x0cd4fd70, 0x658dfd15, 0x3b3edb02, 0x96882d7c,
+    0x74d398ce, 0xf62d622c, 0x9b600d8a, 0xe2b26334, 0xd70c4d56, 0xb6dfc50d, 0x9a720619, 0x0d43b38d,
+    0xe8b4e7b6, 0xc72b94f1, 0xfc41bacb, 0xe844207d, 0xf360aa1c, 0x8a24f269, 0x3a381711, 0xc3b9e7e8,
+    0x5e21681c, 0x004dddbc, 0x5949168c, 0x1703235e, 0xe9ac99bc, 0x0b3fbd0d, 0xbb596fc6, 0xaf03f598,
+    0xbeb87f15, 0xba62508f, 0x74bb6763, 0x885554c1, 0xce8dc715, 0xe2e5a90e, 0xf12bea5c, 0x7f032077,
+    0xa2838fda, 0x8dd5c97c, 0x8d5d39ec, 0x288e19f2, 0x21311073, 0x1dd61103, 0xfbe61b54, 0x5c06a957,
+    0x0a7f843c, 0xf80ca1fa, 0xc8a5f338, 0xfaf339f0, 0xe230eaf0, 0x9f82e549, 0x9e50da7f, 0xd178f080,
+    0x17671b2b, 0x84359fc6, 0xd52f2233, 0x9768a3a5, 0xa4bf58bb, 0x28108ce9, 0xb5095b74, 0x8871cf75,
+    0xe31413d1, 0x308336e6, 0x254fc27a, 0xcde32a1d, 0xea0c62bb, 0x4260a0dd, 0xaa9ca68a, 0x4025a949,
+    0x228ada82, 0xe275aee7, 0xc93c6d2c, 0x4c60614b, 0x6601adc3, 0xd9abec31, 0xdc230b7b, 0x66c74de7,
+    0x8db04c82, 0x1cfcdb07, 0xa1b03736, 0xc8de0f9f, 0xc20fca3e, 0xbb2e4491, 0x753209ee, 0xb1f83160,
+    0xea165955, 0xd60674a7, 0xd6757f62, 0x95ddd30f, 0x04a2c29f, 0xac96c964, 0x7aa9bb5b, 0xf520a8d4,
+    0x35c4fe4e, 0x7dbdb372, 0x3c8a1a68, 0x9bb8cce9, 0x2f48f186, 0xc333ae4c, 0xd87c37ab, 0xa3a7caf5,
+    0xafcef86c, 0x7eb69c7c, 0xa33d440f, 0x35732b38, 0xbe77b959, 0xa1e45138, 0x85ffebf2, 0x364c6b9b,
+    0x8982c3ac, 0x30039a6e, 0x41ff6a22, 0xeb7bda0f, 0x6a75496d, 0x64c8b929, 0xd0c67de2, 0x959b3fe4,
+    0x7aec1002, 0xe9726db8, 0x149f6754, 0x6bdc232c, 0xb77ae492, 0x2e58a706, 0x05c4013d, 0xd03da4b6,
+    0x09861180, 0xfbed649a, 0xdf1862fb, 0xda0117d5, 0x4044b67d, 0x51bc1917, 0xd911b552, 0xcc497b46,
+    0x2e7f23a3, 0x2fc5959a, 0xf026e306, 0x3d1c3e90, 0x2f325a4f, 0x4bb053f8, 0xd83497e2, 0x727a5640,
+    0xb69b7d35, 0x280ec183, 0xef0efc26, 0x1b52b792, 0x162dd0bc, 0xa33353f0, 0x76627f93, 0x4b961cda,
+    0xdead5a87, 0x71157a56, 0xe6de8f72, 0x8dcde11c, 0xae7305ae, 0x34b121db, 0x829ad6aa, 0xe3d788ea,
+    0xec7872c6, 0x2ccaf813, 0x4fb3ea2c, 0x0baf86d8, 0x75e4f6b2, 0x9805b162, 0x276f8c20, 0xdf3f1ce3,
+    0xd65f50fc, 0x3a3e0ffa, 0xdd03a1d3, 0x6d7c3af8, 0x0fbd16c9, 0xa378ceac, 0xcc1e0aea, 0x166d56f5,
+    0x7cef8541, 0xd7c4adb2, 0x0d3e9e5f, 0x2bc244f3, 0xca3496b5, 0xb05d7747, 0xd58ed001, 0xe567e08b,
+    0x533b0d55, 0x44e0743e, 0xa4ae61f3, 0xbbe352ec, 0xadbb719f, 0x3eb4fc50, 0xb4f06d63, 0xc23883b7,
+    0xb051d1fe, 0xe26e7c69, 0xaf0f5cbd, 0xe87197c8, 0xf84e15de, 0x1cbe27f1, 0xea9de268, 0xf87839c0,
+    0x41799d43, 0xc0d6c830, 0x15e9077a, 0x085bcb31, 0xe4f5e69b, 0xb7949d71, 0x04e40922, 0x12ef7e10,
+    0x93aaa85d, 0x3795335b, 0x24d8093a, 0x442566cb, 0x3e11fe77, 0x61ea4196, 0x0b62e664, 0xcfab3e3b,
+    0xed536871, 0x5e110e91, 0xafef55ad, 0x55b5a781, 0x5faab04d, 0xd481b760, 0x4426e327, 0xa97e7e79,
+    0x257c0725, 0x268c1c29, 0x6309ff05, 0x44d29640, 0xf820c7c4, 0x8d8df8ae, 0x5707ff55, 0x215560e8,
+    0x65d1cc44, 0xd0a232c9, 0x908c613a, 0x14f68c37, 0xbfdcd20d, 0x97d9adbe, 0x2e52fc85, 0x4311c3a5,
+    0x358d76af, 0x09a7d6fe, 0xf8fee511, 0xe8a35ddb, 0x4b8e7c52, 0x0cdbbcc1, 0x59108b6f, 0x1a0721b1,
+    0x82980c24, 0xd331b875, 0x70a43788, 0x1568ee2a, 0xc70a1667, 0xb29cdd29, 0x727cdd2a, 0xe93d9a53,
+    0x42733eb6, 0xf704706a, 0xfc101831, 0x4f828d2f, 0xeb9c88ea, 0x4f5aadf9, 0xdf8f1e15, 0x25c8e978,
+    0xb0882cfe, 0x31762857, 0xf93001d6, 0x0056d479, 0x9af7b347, 0x1ef2765b, 0xc116354f, 0x3bc61d02,
+    0x3668d9c0, 0x776c0b0c, 0x6fed8f63, 0xd805c4e2, 0x06fcdbab, 0xd9ff7b8d, 0x37e64fc8, 0x022b41b7,
+    0xbc7d916a, 0xda387665, 0x7c915805, 0x9419110e, 0x84e093b6, 0x6020986d, 0x1d3c4221, 0xcb5e9580,
+    0x53d34124, 0x83ed9d81, 0xbc3efeec, 0xa0c1c4fd, 0xd3f837df, 0x95d6638a, 0x36a50c42, 0xca03e59d,
+    0xe0cf3dfd, 0x1f56d12c, 0x4d6eaabe, 0xc2fe4422, 0x9eeb9321, 0x0e5cb871, 0x24bb3d57, 0x2840708a,
+    0xdeb35dfe, 0x7ddcb5be, 0xde84f9b4, 0xd5d5ddd8, 0xe254b2ea, 0xa15f1161, 0x42d93a4a, 0xfe6e8de4,
+    0x14438571, 0x9dbc641e, 0x8faa7ebc, 0x09b7ebfd, 0x39364e06, 0xfd7ec1ef, 0x89d67db7, 0x56fa1bb5,
+    0x6f92ce3d, 0xb53800a5, 0x8735e108, 0xb467156c, 0x6f0d6d69, 0xd6af612d, 0xe64d1e23, 0x4c92783e,
+    0xfa25461c, 0x2b1f430d, 0x3771bcd7, 0x9338dba1, 0xe7297ef1, 0x3e43a5c2, 0xe3260cc1, 0x6f08c4d2,
+    0x3ef7a785, 0x6dae459e, 0x6b489028, 0x4d749b58, 0x6657ddbc, 0x8bf93500, 0x54ea1f81, 0xa50e0c30,
+    0x5c9e540a, 0xc53cce0a, 0x81e2c2c2, 0x05a0ed12, 0xa3a9d102, 0xeae42cd9, 0xc3c76702, 0x09b1078e,
+    0xe0a16db8, 0x6247d9c2, 0x21679c87, 0xec3bc350, 0xce5e6f75, 0x58047018, 0xa509f2a9, 0x612903fe,
+    0xb07cf92c, 0xef8eee38, 0xc64bee47, 0xd50a5e27, 0x8b40be2b, 0xea09a1a2, 0x085561d2, 0x94444de1,
+    0x0dd09bb7, 0xe4bfec83, 0x79ef851c, 0x80903100, 0xcd066839, 0x9f10500d, 0xfda3a536, 0x7b095278,
+    0xa248b898, 0xea94b9ca, 0xe1be8611, 0x0373bd8c, 0xbb1428c6, 0x35d5e584, 0x7dcd9105, 0x638948d2,
+    0x93c63d50, 0x71462126, 0x4ccc54f6, 0xc282ba00, 0xfe9288d2, 0x43b4c911, 0x500ab497, 0xe7535bf2,
+    0xef32f0c6, 0x020f25cd, 0x2c9cf554, 0x6b9b60d4, 0x1e1cada8, 0xf69c7bac, 0x11fd5697, 0xb1e06fef,
+    0x7f55dd08, 0x34c063d1, 0x6d314c6a, 0xd5deb831, 0x233ea825, 0x75798fff, 0xaf7a0383, 0xaf422e50,
+    0x5a4b8eeb, 0x4869487a, 0xf0339f97, 0xfd411c9b, 0x69c863dc, 0x249b0f0e, 0x6ec01fee, 0xc841b1d2,
+    0x00000000,
+    0xe480565b, 0xbd61435e, 0xeab63ad0, 0xf3a3e24b, 0xfde9dd51, 0x59d06650, 0xc8082e78, 0xd4e91b6a,
+    0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000443627151059330377532546269462893392549829932060130652\
+                         02727673289833940924890009968639590497666233249558259375382457149263586525184 */
+  { 0x00000000,
+    0x6f5a76cf, 0x016f8019, 0xa2d3ca1a, 0x356be41f, 0x45cec654, 0xbd0f2f64, 0x969b831e, 0x654cef39,
+    0x80c92bb4, 0x1656fbd1, 0x9a7f7450, 0xef2435e6, 0x4f1efafc, 0xf28e7f8e, 0x4214ccb4, 0x06fdfd4c,
+    0xe17985af, 0x82f6bf8c, 0x239b5b0b, 0x8cb0f744, 0x33194947, 0x2329e351, 0x961c5b1b, 0x13573074,
+    0xbacd2233, 0x6af600dc, 0xa844e849, 0xcf1cfa4d, 0x671d7cdd, 0x9f0f582e, 0x698cb46e, 0x0a54541e,
+    0x04905627, 0xfb30b862, 0x7e9dc3f5, 0x718c238b, 0x53d42af0, 0xa218939a, 0x5736faca, 0x498b3d7c,
+    0x9a2b7457, 0x6a96efe6, 0xaed4995b, 0x0c7b6932, 0x58d0615b, 0x3078fc45, 0x7fc44279, 0xcef04b70,
+    0xd92eca68, 0x796405a6, 0x0d64b83b, 0x52c96012, 0x8c349c56, 0xcfcaf8d3, 0xb56dd223, 0x7fcf222a,
+    0x45390221, 0xb57f33b6, 0x05c1c208, 0xfe5243cd, 0xabfa3416, 0x3abc6446, 0xdd52bbba, 0x62f91075,
+    0x58aa2ab6, 0xd700acdf, 0x9b80bc90, 0x60524866, 0xb6c7a4cb, 0x2546a94c, 0x190b33da, 0x8d4a343b,
+    0x89e01e5f, 0x4d81a141, 0xdefdd3fd, 0x4d2662b0, 0xc5f627ae, 0xbd0f2ff3, 0xb1d85106, 0x5e0c53cb,
+    0x0292b85e, 0x95314e77, 0x69421636, 0xc1cf3e0c, 0x4aa56f9d, 0xe118d5c2, 0x2ce54453, 0x1bcfb4fd,
+    0x3710f5eb, 0xa8c6395b, 0x8ca1d16e, 0xffc1d3fa, 0x81c6874c, 0xbe5fd234, 0x1ca044ca, 0x628ed262,
+    0x4feeaaee, 0x4ad0ce66, 0x165a763e, 0x3e25967e, 0xe973beb8, 0x1c984dc5, 0x8c9efd1c, 0x3ac2fc88,
+    0x19782aa2, 0x14911a6a, 0x4701b9c7, 0xf336b676, 0x761b9e61, 0x19c62395, 0x4450b92f, 0x4a64ef9f,
+    0x6273c8eb, 0x7cc2a49e, 0x1ce3b45d, 0xbb99ecc6, 0x6d5bb3f6, 0xcce42061, 0xca14a0e3, 0x21c5bba3,
+    0x7428dd83, 0x140a9441, 0x72f2bbe9, 0xceedcede, 0xf3be5c24, 0xcc5d0aef, 0xca29e293, 0x636080e0,
+    0x977ca7fb, 0xfff51634, 0x0c115f60, 0x73f94038, 0x69deb081, 0x1dba658e, 0xb8552e84, 0xbc669603,
+    0x5931f6b9, 0xc065f47a, 0x0ce049ca, 0xf3c85239, 0x13a09b40, 0x2ed71b0d, 0x89dc2bc3, 0x19afb86f,
+    0x03f9092b, 0xf1426815, 0xf449a5e7, 0x654b3c1d, 0x7ccbdc2a, 0x8854d463, 0x137a7763, 0xe897bdd2,
+    0xd49f5c72, 0xe8990cd1, 0xf56b5d76, 0xe55f3766, 0xda093025, 0x2c0204ac, 0x1f605136, 0xd621f46a,
+    0xcbf0a326, 0x2d70b96e, 0x81fc0c44, 0x6bf54c4f, 0xb4e806e5, 0x848ee540, 0x8e7e7e1e, 0x142d2c7e,
+    0x2ba35ddf, 0x2a6cd1cf, 0x58417ea0, 0x54cfec05, 0x43fc516c, 0xe3b8adf4, 0xa1f21598, 0x2754dd32,
+    0x90cec661, 0xf4e324de, 0x808b1b4f, 0xc8c61403, 0x3382f74c, 0x4c43b635, 0x5307aab8, 0x162e2a98,
+    0x7f161212, 0x8b911ac6, 0x93f7da92, 0x199d5869, 0x79d1e846, 0xfbf73f4e, 0x801cbcf7, 0xc77d8aa2,
+    0xae29bbf1, 0x1e8e310a, 0x1c9797ae, 0x68bf62d2, 0x18f6b2ed, 0x4bf5d7a1, 0x28f7409c, 0xeee4b9d0,
+    0x2484d4f5, 0x624f2017, 0xca7c8b02, 0xb907a546, 0x982b51be, 0xe8c2c6c2, 0x9a6a63e6, 0x00e6c9eb,
+    0x349cd93a, 0xbb6ba93f, 0xea207cd3, 0x517e1b79, 0x9e7f893c, 0xbf83bbe9, 0x967be8e1, 0x9abbb615,
+    0x91cd9457, 0xe236b9cb, 0x26d21da0, 0xb1035f10, 0x3ad6a07f, 0x4e20e32f, 0x9312c32d, 0x6f08904e,
+    0x2a33d2ad, 0xd47d0f54, 0xf999d588, 0xae87a1cc, 0xe331cda3, 0x51edb511, 0x4745f75f, 0x09b001f1,
+    0xbb9152ba, 0xa9418900, 0x35b9d2fe, 0x027c2cc9, 0x8b78fad8, 0x60a90f47, 0x38000afe, 0x635d4381,
+    0x5c992c67, 0xb32b16f2, 0x22d08eee, 0xbc70fb7e, 0xbdf9f691, 0xf607f468, 0xce29c777, 0x90ee1711,
+    0xc797a6d7, 0xf57c6033, 0x3d646e0c, 0x9e15916a, 0xafbb272b, 0x93772cd7, 0xf6a01452, 0xde8185be,
+    0x65cf3697, 0x16e5f434, 0xd773f91b, 0xa7df94a8, 0x30cced2f, 0x974b10ec, 0x06111825, 0x6de72da5,
+    0xe5722e68, 0x40b358a5, 0xc44f247c, 0x5c26f291, 0xe2a0591a, 0x59d5706a, 0x33ca2dcd, 0x132c8397,
+    0x91dd4117, 0xc4c408f6, 0x9eea7b16, 0x0b8cb9a9, 0x2a19790d, 0x366e848d, 0x9e468996, 0x00567c1f,
+    0xedf929a1, 0xcd8adaf3, 0xd8bc2d26, 0x48e2a4e7, 0x54bd7ca7, 0x18550ff1, 0x61c7e060, 0x8724beb2,
+    0xd13c3be0, 0x86e83415, 0x2793ff39, 0x9ed6baf7, 0xf53b5887, 0x719659d3, 0x56bb8306, 0x8500891e,
+    0xd525e445, 0x7d1e878a, 0x89e342f0, 0x8d25ede9, 0x87a6447c, 0x287fd1e3, 0x45f1e770, 0x5b4c7960,
+    0x915f98d1, 0xeb8f2ba4, 0x2ffc56b4, 0x250a8911, 0xa0855617, 0x052a6a17, 0xe8c6805d, 0x0f989a6d,
+    0xb009d062, 0x1a0eedd0, 0x60d51acd, 0xee9752c9, 0x0b5506fb, 0x30ebe698, 0x29c672e0, 0xc418f9dc,
+    0x68090410, 0xd55ddc77, 0xa24d79b0, 0xd4155972, 0xa0ed1fa9, 0xac6f674b, 0x42c22a7b, 0xb0fdfcd4,
+    0xc5b28650, 0xc175525e, 0x4ac4b1bf, 0x09a7b926, 0x26ee82d6, 0xfe768e90, 0xc29e5f64, 0x4b8728ee,
+    0x16a4dbd8, 0x6dad48b6, 0x1215d7c1, 0x859d21b3, 0xbf7c49b2, 0x97d832c0, 0xda27cfe6, 0x30029483,
+    0xfe25df21, 0x4204b91e, 0xfd35e0c2, 0x01b4dc9c, 0xf9998997, 0x189b21b2, 0x09e48e1f, 0xf88fc2c9,
+    0xb6c9f39d, 0x4eea97be, 0xc4aae174, 0x34873e51, 0xbdb489c7, 0x22cba70e, 0x3aafdd2e, 0x890b0223,
+    0x297a7b4c, 0xee0f11b9, 0x9839c906, 0xd12d8e98, 0x56772ddf, 0x1008d955, 0x3dcf2769, 0x294f4e2d,
+    0x6d8e8317, 0x69302759, 0x61bb68ed, 0x01baaac3, 0xcd26e788, 0xfad2f5b1, 0x24150a9e, 0xbdeebc68,
+    0x3e3e5de6, 0x1f5f8525, 0xeb7fe36b, 0x06857ddb, 0x1a479f8c, 0x634eb4fd, 0xfbe6215c, 0xb023dbc4,
+    0x864aaabf, 0x51756a6b, 0x8c75971c, 0x0437801a, 0x40e23b0d, 0x47e4da1f, 0x1876e8b6, 0x6150ccfa,
+    0x4845ccff, 0x91e0b4ed, 0x302f34f6, 0xd9f3f328, 0x7e4da8b1, 0x55d58dc9, 0x68a0bb22, 0xc3d727cc,
+    0xde25eaff, 0xb80e7dee, 0x47cc3173, 0xe17cf0e9, 0x68ff21b0, 0x70af1eb5, 0xc8847403, 0xb4fec326,
+    0x87ecb25d, 0x7e669876, 0x5468ce21, 0x654cab43, 0x23aa0db2, 0x62741ee0, 0x3d5cf45e, 0x98f5c25c,
+    0xc56bf0bc, 0x4e240ee6, 0x23094355, 0x22aba165, 0xda4abfed, 0xcf9964c5, 0xc722cb6e, 0x7294cddf,
+    0xe1036717, 0x44b36ef0, 0x58694650, 0x73ee330d, 0x38035dbc, 0xd38665bc, 0x6b7fd22c, 0xb383303f,
+    0x382dd200, 0x4ff4e634, 0xc0c64ec3, 0x4bdbf1e9, 0x3d7c3060, 0xe4557a0e, 0x9b20ccc1, 0xc49d9283,
+    0xe101ee8d, 0x5eab90a4, 0x561a9534, 0x559b76eb, 0x1c4067c6, 0x21814360, 0x363d565c, 0x7feac31e,
+    0x44d0a02e, 0xa43174d7, 0x69a3a471, 0x2d9346c2, 0x5c063658, 0x9c396432, 0x0bf7f96f, 0x19247bfe,
+    0x8fbab2de, 0x0e552b6d, 0x487228ec, 0x1d5ed6d8, 0xab75d0e7, 0x9bd10784, 0x9c1dbce4, 0x3f8e83dd,
+    0x255c2b9e, 0x20050a73, 0x9432b781, 0x02c91c5c, 0xebd48fdc, 0x8515936a, 0xac773807, 0x497b12b5,
+    0xef02383a, 0x657cfe5e, 0x1882bbf1, 0xd4a2eb8a, 0x6efa9774, 0xe01de162, 0x1991be9f, 0x47c7cc56,
+    0xafe30c38, 0x9bfc0499, 0xb6decbf8, 0x6a9425c6, 0xb841f622, 0x0de14ffd, 0x84b7dc62, 0x09713d3e,
+    0x027b1137, 0x0efef586, 0x4357e74d, 0x36162b0c, 0x7ff70657, 0x00e10610, 0xb09c51ea, 0x4ef039bf,
+    0x0e932bcd, 0xbdd6195e, 0x30ba4064, 0xe2f1a118, 0xd01679f4, 0x4e9b1947, 0x05d44c3e, 0x93bb969b,
+    0x401bf4a8, 0x46e746c6, 0x727a0b56, 0xfd2e5ba9, 0x6a2753bc, 0x264d0e1c, 0x38924be1, 0x8e2f68b1,
+    0x1a14532f, 0x63da799e, 0xd33ef3b2, 0x3d484d06, 0x0cc3fb2b, 0x3b2ce398, 0x99237710, 0x74cd24e6,
+    0x019b0ada, 0xd92faa37, 0x3f1a005a, 0x2d1888b2, 0x27e9bfa3, 0xe4a229a7, 0x68cf9688, 0xbe68eb70,
+    0xe97d0310, 0x345fde51, 0x4a355a1e, 0xa86e5c26, 0x1159e593, 0xfc6b4133, 0x2f6e055c, 0x2be651df,
+    0x30f0f6ef, 0x181f8929, 0xacf1c1a8, 0xf6fc5f15, 0x537719f6, 0xcae874d0, 0x5c0a2594, 0x1884298f,
+    0x6c6fd614, 0xf48f92c5, 0x0b5a9887, 0x847e6f81, 0xebc1f085, 0x45a240e6, 0xd05a7b22, 0x72e1377e,
+    0x904cc485, 0x5c8453f0, 0xf618812a, 0xccded018, 0xd6745d95, 0x54a61b64, 0xc25252e3, 0x0b72477d,
+    0xba3cf4ed, 0x85aae806, 0x6b20f015, 0x8097218e, 0xd9104466, 0x34d0aa94, 0x06216764, 0xb591bf87,
+    0x713c86ab, 0xd5a7379f, 0xc4aa9cab, 0xf8e5d5f9, 0xc17ab97c, 0x2661faba, 0x52781aac, 0xd9200d68,
+    0x80f347f1, 0x2e0d199c, 0x86fd067a, 0x73291cc5, 0x2e61d810, 0x78462519, 0xd687312b, 0xc52da0d7,
+    0x56ab58d0, 0xba4f1d59, 0xc58a36ab, 0x7b4cc3c5, 0x36657917, 0xfc72e00b, 0x461cbdfb, 0xcbe140ab,
+    0x8193e865, 0xf03c5ad0, 0xc254c539, 0x36c9e876, 0xfae213d1, 0x8dc8c74b, 0x2c0faa87, 0x49e68cea,
+    0xf86ae107, 0xd32db898, 0x52831f4a, 0x12abde2e, 0xbe3cbc18, 0xb51d67d6, 0x890032ac, 0x9950e8c1,
+    0x55a60cd9, 0x4d9d2ce4, 0x8811ca9d, 0x99ff1ab4, 0x4a4b75e6, 0xabb824f1, 0x8fb3458d, 0xb0a92f86,
+    0x2fc541a3, 0xe66b51dd, 0x2cbae4cb, 0xc67ddab1, 0x20e647dd, 0xf300ee62, 0xc19d9f4e, 0x988ed17d,
+    0xeba30103, 0x9898ae64, 0x655d691c, 0x394d31e4, 0x9404fe49, 0x7f483a1a, 0x836a3363, 0x11cbde28,
+    0xe0cbc594, 0xc858927c, 0x553a37b9, 0x21bb02e5, 0xe9170daf, 0x20b4c507, 0xd3c455e8, 0x5085fc23,
+    0xe515c4a4, 0xaa99aa6a, 0x2342c756, 0x2b04b363, 0x854e473b, 0xce1082f6, 0xeb751061, 0x628404db,
+    0x666cecba, 0xa78a9282, 0xc253079c, 0x628af436, 0x61292c19, 0xaf154dc5, 0xeb74e206, 0x08c34a94,
+    0xd1bc915b, 0x51e8eaed, 0xa64b7ca3, 0xde3b2edd, 0x572a205d, 0xc83eae6e, 0x6466e699, 0xa5d31ac4,
+    0x4198d49d, 0x312196f2, 0x7d6be773, 0x045f5d8d, 0xf97b0c9c, 0x5a0f7773, 0xa889f5cb, 0x91ffa3e6,
+    0x76013c0a, 0x4d350bec, 0x04c110c9, 0x99e9eab5, 0x0223245b, 0x4f8e9938, 0x89973e4b, 0xa6d72d90,
+    0x2ee9fd6c, 0x7c37fbbe, 0x5d4abfac, 0x4b4cebef, 0x78e8a4a8, 0xc3dc7011, 0x89db971f, 0x7794af30,
+    0x13bf36de, 0x5a144973, 0x56682d0f, 0x052b09fe, 0x677993d3, 0xe926eefa, 0xabed0d1e, 0x42d52386,
+    0x6a7f6ff3, 0xd859bbdc, 0x11e189e7, 0x17e2d7d1, 0xe6ce02d6, 0xc2fca678, 0x2743b367, 0x48e81fec,
+    0x97ba29a0, 0x42b6de4d, 0x7eb209cf, 0x4705f7a0, 0xf448bb85, 0xa57c0f85, 0xd48952a6, 0x73c9ae08,
+    0xa153329f, 0x3bd445bf, 0x1753654f, 0x78990c54, 0x5ecebec7, 0xd4deba42, 0xf0b54443, 0xc33f387d,
+    0x5be701b3, 0xce35353f, 0xd551ed95, 0x23655e00, 0x8af88eef, 0xb93d66dd, 0xd337f1eb, 0xe2a670f5,
+    0x81a49220, 0xf1982d3b, 0xb2cb04c1, 0x693a32ee, 0x1da1d238, 0x739b53f9, 0x9ec15345, 0x85fcc1d4,
+    0x07d0312b, 0x0d4ca629, 0x9c673d31, 0x639aca60, 0x8c6ee414, 0x6e72ed4c, 0x900de6a4, 0x0093675c,
+    0x08622b0b, 0x5708de02, 0xaeb7c4c9, 0x4abbc97b, 0x760712c7, 0x70d1cdba, 0x151918c8, 0x4b55e4dd,
+    0xd8c61bc8, 0x197c5aa2, 0x57483529, 0x3b03fa73, 0x09d15d03, 0xaa425223, 0xe2e67bb3, 0x0a57b5f3,
+    0x85a5ea6b, 0x0005c3b2, 0x28f55729, 0x0be9bfbe, 0xa3886c03, 0x493a4d6b, 0xf1e1344c, 0xe8a67cca,
+    0xd68b19ff, 0x82151c23, 0xf5c91ae5, 0x7e5ff17b, 0x5b183e6c, 0xc77d1e46, 0x8aa8039b, 0x420bc1cf,
+    0x98a25227, 0x23f8624e, 0x1236bbaa, 0x8a2b1710, 0x0a059947, 0x767b7c57, 0x11fd0888, 0x65470163,
+    0x87036311, 0x96db7b65, 0x334df63e, 0x5da31f1a, 0x3d676b17, 0x6846cfd1, 0xc193c6d5, 0x4803cc24,
+    0x820b18d2, 0x95df80b4, 0xb098d372, 0xb9de7de9, 0xc9bde655, 0xf48d8d26, 0xb4bd98cc, 0x7861b48d,
+    0x1ccd03c3, 0xc24a9c88, 0x4b369c8a, 0xea45ed66, 0xe590eb4f, 0x527e0f9b, 0xd795e7bd, 0xcdae6f6d,
+    0x09608d79, 0x8e75b36f, 0xf0b242d5, 0xb651a0ee, 0xacf3067e, 0x04d76d11, 0x61e62332, 0xaca51ea5,
+    0x0a05ad96, 0xa2d830b1, 0xb4d40a85, 0x16151230, 0x6de5c5eb, 0x7584bb9f, 0x0680c556, 0x5b38337c,
+    0xab733341, 0x6aa26c42, 0xc7ce694e, 0x56009144, 0x67121337, 0xf1275c5c, 0xc4ed16d6, 0xc6f1f357,
+    0x1d2f5bc5, 0xfe392acb, 0x2b7be7fb, 0x4e640a01, 0x5f9770c0, 0x1879a663, 0x29422ebb, 0xcaaa6cec,
+    0xd9e48381, 0x50861e68, 0xb5339247, 0x19a9e906, 0xf4947de0, 0x292876f9, 0xe520dd05, 0xb0946f14,
+    0x80969422, 0x4711273f, 0x7a3eeb94, 0xbde315fd, 0xa687443c, 0xdefd0f9c, 0xd98e52e5, 0xe2bffd1d,
+    0x6c0df8c4, 0x44375dc9, 0x314a485b, 0x6dc8f9c3, 0xef9d2efa, 0x83540926, 0x3da1f589, 0xcb391fd1,
+    0x4fdf1ac4, 0x388fc8aa, 0x97565fce, 0x14512e8e, 0x3a3a1215, 0x6d0a9348, 0x11c54c6e, 0xa158e495,
+    0x3175d1ff, 0x549eac23, 0x79c64add, 0x29b375e7, 0x83920e26, 0xe46986ac, 0x74c04ae6, 0x0262d4ab,
+    0xb29d372d, 0xe98552f5, 0xf6b69d31, 0xe9848652, 0x3c56a8db, 0x241e2ab6, 0x19726a4b, 0x039cc7cb,
+    0x0398e1c6, 0x98cfc7d6, 0x54a03c17, 0x4940efb5, 0x31dcb83f, 0x7d09ad3e, 0x47988445, 0x920e09d2,
+    0xc2acc7fb, 0xbc5ca391, 0x1d89e6ab, 0x5adcc1d1, 0x17acd7e0, 0x07b7883e, 0x5a9bdc1b, 0x05cd820d,
+    0x840def51, 0x58745987, 0x934604d8, 0xf23a3d99, 0xc7274013, 0x6865c85f, 0xdf386b1d, 0xfc71bb32,
+    0xeb28633d, 0x38cb3b1e, 0xb0dd1b0c, 0xb91bb10f, 0xffdc81c2, 0x7f3d2e62, 0x90f38f18, 0x4f93d52d,
+    0xdd0b1f70, 0xc8d19e31, 0x5377c5a5, 0x0f65013c, 0xe5d2fcc9, 0xea5fb258, 0xf4b54cd1, 0x3fe4dabe,
+    0x8e67961b, 0x12a343e0, 0xdaae4b36, 0xfdd4ba0b, 0x378d40cc, 0x4552583f, 0x93d3fa1a, 0x2687315f,
+    0x247e0f82, 0x985fbc9a, 0xc5e7d883, 0x18275287, 0x4f2667f3, 0x1217b6c1, 0x84132b7d, 0xd8ac3855,
+    0xc231dcd7, 0x901c58ba, 0x190b58e6, 0x7cba741e, 0x51f681c8, 0xbf8ddffb, 0x812588ce, 0xc845655a,
+    0x2ddf1636, 0x18f7a87f, 0x725cdec3, 0x8914aa71, 0x00324dc6, 0x0b77bdbc, 0xf2d7728c, 0x238c2119,
+    0xcbb0cc4e, 0x28f4ab42, 0xfa723247, 0x63155d3d, 0x96167a08, 0xb92416ee, 0x83a2f38c, 0xe8ddd7e9,
+    0x354371c2, 0xc3a8c398, 0xc8aab4f6, 0xe7bc7f46, 0x6a403212, 0x86f00ced, 0x18134a00, 0xac134264,
+    0x198625b5, 0xc688bb49, 0x79149497, 0xd2232ecf, 0xa826edee, 0x7e196258, 0xa67acaf9, 0x1167a70a,
+    0x89e8ae75, 0x326e5371, 0xb2febbae, 0x684da58e, 0xf9fc583a, 0xcfaf59a7, 0xc99b7f9b, 0xcc04ae92,
+    0x3d5f79e7, 0xf4cf238a, 0x5d336139, 0xfbd6de6c, 0x6283a147, 0xe390ce80, 0x1f97d4c9, 0xb357830d,
+    0x62902d0c, 0x7a776f88, 0x500d121f, 0x373ef8ad, 0xe4637564, 0xd8e0874a, 0xe82fc71e, 0xa01a44f8,
+    0x00000000,
+    0x72402b2d, 0x5eb0a1af, 0xf55b1d68, 0xf9d1f125, 0x7ef4eea8, 0x2ce83328, 0x6404173c, 0x6a748db5,
+    0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000221813575529665188766273134731446696274914966030065326\
+                         01363836644916970462445004984319795248833116624779129687691228574631793262592 */
+  { 0x00000000,
+    0xfd29f37a, 0x58a5718f, 0xe6317693, 0x19e2be60, 0xec344755, 0xd78d8781, 0xb1005ba2, 0x1d239395,
+    0x6aebc686, 0xdae6554c, 0x0b434c41, 0x099f387a, 0xe8141785, 0x31dc9067, 0x819a1a65, 0xc623b3e7,
+    0xc16c9de8, 0x48ca3de7, 0xd734a3d2, 0x757c3f51, 0x5e16dcca, 0x6b1bfe52, 0x92c9a616, 0x63846e87,
+    0x417bf1ca, 0xee3c63d6, 0xc943bc89, 0x027e9417, 0x51f282de, 0x11140d3f, 0xc48d1d73, 0x01002852,
+    0x871ce8d6, 0x77d0b20f, 0x9eaa7e28, 0x856a0ca3, 0xc0abeae0, 0x51777df0, 0x483a8de9, 0x0e6f2dde,
+    0x80386fc3, 0x3decd426, 0x42a29f8a, 0xe2a65389, 0x44f096d7, 0x0326a303, 0x9c695e9c, 0x945e1205,
+    0x4105a6bd, 0xdbc150c3, 0x777b0785, 0x1c9d1bc4, 0x2ca279fb, 0x6d0443b4, 0x293b4d44, 0xed360126,
+    0x74a68ef9, 0x5a59670c, 0xd185dcff, 0x237892ed, 0x4bf14871, 0x1b06a76a, 0x6dae4c3a, 0xf5428377,
+    0x88fa53fe, 0x3fac084b, 0x5a6f55c2, 0x0f4a54f6, 0x8dc9bc52, 0x909b763f, 0x39066ff2, 0xf5ce1934,
+    0x33e812ec, 0x22ea4726, 0xde213662, 0xf0b4f0b4, 0xac12401c, 0xb097c738, 0xac1ccbb3, 0x39ab9883,
+    0x757dbceb, 0xbc7efae2, 0x36b3009f, 0x588af351, 0x2649b2d6, 0x7aadd76f, 0x4197bbc4, 0x2076ae81,
+    0xeb61006c, 0x2a350bf2, 0x5320ccfa, 0x03f6cd56, 0x708388be, 0x3522692f, 0xd67ad467, 0x4f315161,
+    0x86a893f7, 0xd41be8f1, 0xbbfeb9bf, 0xc156107d, 0x5998080e, 0x228b2b34, 0x7203f7b7, 0x0db314a0,
+    0x843dd264, 0xe059937d, 0x7021c93e, 0x965d11ce, 0x22886003, 0xfeee42b4, 0x94eb6052, 0x56d4f27f,
+    0x1e6922ca, 0x1781184f, 0xfd85076d, 0xece16f25, 0xbb425c94, 0xe0f48bda, 0xfba278d5, 0x77b519b6,
+    0x243239af, 0x2e5271bc, 0x8f8afd78, 0xb23d7e2d, 0x372bae5e, 0x846e0874, 0x88d739ee, 0x349703f0,
+    0xf2aedaef, 0x6a97f43e, 0x8c4d1323, 0x5ee8a7b7, 0xd484a20a, 0xc29e9067, 0xf8f7c944, 0xc7de1233,
+    0x222f5dea, 0x4667ed10, 0x0af9003f, 0xa6e6a924, 0x67388e2f, 0xd2680eae, 0xe134cc47, 0xad548755,
+    0xee17c005, 0x766b7a24, 0xdf62d04f, 0x09003bf3, 0xcccfa61b, 0x23d7c352, 0xa7769bbf, 0xc6fd60ed,
+    0xae7c8ab7, 0x48c185e0, 0x03bcb49b, 0x6a5cf0d1, 0x81abb0b2, 0x9ecfa450, 0x03744f38, 0xf735d30b,
+    0x64159f6d, 0x7cd19cea, 0x3854ff43, 0x24e4a1e2, 0x3ba76353, 0x9a8d2bdc, 0xfcf19f4d, 0xdb75a30a,
+    0x6720500b, 0xf6810591, 0x22147a98, 0xd1ed5ee5, 0x193e3d6d, 0xd5d95e27, 0x65b42e21, 0x9c19eace,
+    0x7db11928, 0xc8f3de27, 0xeb0e932a, 0x131e0623, 0xefb8da1a, 0x6d2b5eeb, 0x033a7a05, 0xb01eb89f,
+    0xa49513b1, 0x0befc7cf, 0xcb63e2de, 0xf335cd83, 0x6010d77a, 0x64d304ae, 0x10b38449, 0x143eca8f,
+    0xadb8be96, 0x074090ea, 0x9def40d4, 0x8729abd8, 0xcf4d1b86, 0xd3c6da18, 0x0505a2d3, 0xf10dd736,
+    0xe23147fe, 0xa44f42fb, 0xfffb469b, 0xcff9196b, 0x9920f467, 0x75eb7ba2, 0x65401cbc, 0xc8ba9bc9,
+    0x0312d022, 0xd7db27ac, 0x9745904a, 0x2039505c, 0xfd141889, 0x4fe81f17, 0x4a42e2d6, 0xc655f0c2,
+    0x92fe6825, 0xfd1f95ff, 0x467c4dc4, 0xf184ef0f, 0xc724ef1f, 0xe3890dff, 0xa7b37e60, 0xd6a8c659,
+    0xb01235fe, 0x29a5e85a, 0x806fb82f, 0xc7605c64, 0x9a8550cc, 0x1b2df132, 0xf545f4eb, 0x12c6278c,
+    0xc1948433, 0x7440891d, 0xce76f51f, 0xcd649714, 0x15d47e7c, 0x0ddaab21, 0x17f438f4, 0x7890c73d,
+    0xe2ad73bd, 0xcbdf8a9f, 0xabeef36b, 0x645fc317, 0x011987f9, 0xf6387daf, 0x219507ea, 0xa7fbbede,
+    0xbb435eae, 0x186d4755, 0x130a17f8, 0x59d5ce37, 0xec35aaa6, 0x82bc930a, 0x85c55d40, 0x03ecdd06,
+    0xa797206b, 0x2c7773ac, 0x16347764, 0xcc61e0b2, 0x22e77e9c, 0x0279dd2f, 0x25ee5d05, 0xb4f49ddc,
+    0x9326463a, 0x56409fd2, 0x66d8153e, 0x0dcc65c7, 0x3af25c8a, 0x7e6e7319, 0x81a2dad6, 0x8bc86802,
+    0x41028b81, 0xa66038df, 0x516bb0e6, 0xf2660048, 0xb193c68d, 0x1da5d424, 0x708ab851, 0x632d37e8,
+    0x5aabeb11, 0xad371c5a, 0x115c22f9, 0x12720682, 0x90887360, 0x1783be6d, 0xe721ae8b, 0x4d2276f3,
+    0x6846015f, 0x0655c867, 0x9201106f, 0x7a0a09ec, 0xf7440647, 0x733c2dbf, 0x7e5a40c0, 0xfe0337bd,
+    0xbed08206, 0x07c30f6d, 0xb68f58c4, 0x6efa0590, 0x2b25120d, 0x8f28bde9, 0x73e4b800, 0x0778171a,
+    0x69d602af, 0xef6e5cf2, 0x472a4ef9, 0x259b4007, 0x8632873d, 0x1d1f23e3, 0xfb4c5075, 0x36645ec0,
+    0x168c060d, 0xebd7f2e6, 0x4da10a2e, 0x058dfdba, 0x90cdec8e, 0x199583f7, 0x8e1249ff, 0xd1481908,
+    0x8a7aa463, 0x1600e643, 0xc41d8247, 0x5e1173fa, 0x7ac65593, 0xdb2cf6f6, 0x1fb0d5b1, 0x11b1a372,
+    0x5fa2ab19, 0x7abcd390, 0x7b770efe, 0x02e14f44, 0xcb40524b, 0x06900146, 0xfa58337d, 0x94c8ac8c,
+    0x3c682bd2, 0xa305557e, 0x8c87ad2a, 0xd5a10a04, 0x0be5ff29, 0x747b8e2d, 0x049c17b8, 0xd2942386,
+    0x12d4dad9, 0x3b1fe0d0, 0xfdeccd7e, 0x45f66ba7, 0xe1656765, 0xdca35903, 0xcb873e66, 0x714dd454,
+    0x78c5dca5, 0x27dcfc42, 0xa1f1aedc, 0xbc57e717, 0xebd7892b, 0x8355faa0, 0x74ec192b, 0xd9396302,
+    0x421292ff, 0xbb31f76b, 0x4d919fcc, 0x8e57b754, 0xe253edcd, 0x840b71a1, 0x5b7b20a2, 0xb0eb9ec9,
+    0x56637976, 0xb8365db2, 0xfe4a9e7a, 0xe47f4598, 0x71567852, 0xee897f61, 0x37bd9e05, 0x07c18995,
+    0x71d8fd32, 0x250889c7, 0x05780853, 0x218ed452, 0xb8063ac1, 0x74c44173, 0xcf7de49e, 0xdc0c89f0,
+    0x38126644, 0x907a449f, 0x65b4c30e, 0xa1102961, 0x4c23d46c, 0x441e7ec0, 0xd4c59408, 0xf8328b03,
+    0x517f1fea, 0x8278459a, 0xe32d04da, 0x85ee28b4, 0x6ccfae97, 0x5707776a, 0xfdb08570, 0x4af96b40,
+    0x440c5772, 0x9a5b6da3, 0x749a6474, 0x30fe2bfb, 0xe7dbb4b4, 0x27ca5927, 0xd3b64ce9, 0x6b0bb27e,
+    0x98dc3f0f, 0x766591d4, 0xe3eec64f, 0x84e10b09, 0x7a502d1e, 0xe54acf6c, 0x142fced4, 0xf48c359a,
+    0xeaf084d1, 0xb19fcc55, 0xde1f0ecc, 0x17c40c0b, 0x93cca329, 0xb3012a07, 0x37f0024b, 0x94b3501e,
+    0xf72ad1d1, 0x8142aadf, 0xf92ab782, 0x68a25ea8, 0x1d766dde, 0x39419a16, 0x21242249, 0x82e81e1e,
+    0x2977c40f, 0xe3b345a4, 0x3c0b8ff7, 0x34335ebb, 0xb597d998, 0x32191bcf, 0x77a53796, 0x811253d0,
+    0xff52b653, 0x33db896e, 0x00f10036, 0xcc7f8324, 0xecb9fda2, 0xccdc8e5f, 0x543d0c0e, 0x79f4ef07,
+    0xdb0d503a, 0x194ec0a5, 0x0087798d, 0x1f328360, 0xc7ee8b99, 0xa29bae15, 0x43b33500, 0x3c49245a,
+    0x66496057, 0x7d0d5a99, 0xd4ca7fdf, 0xac842fbd, 0x2f825a0e, 0x619d1c88, 0xc7590c31, 0xb8afef7b,
+    0x137011e2, 0x4a1f4f8c, 0x0c7f0509, 0x984f46f8, 0x9b61df4c, 0xaf0512f5, 0x35817966, 0x4f77c478,
+    0x7fb318cd, 0x33aa0aeb, 0xb2657aef, 0x941c814d, 0x3df0456f, 0x6ba1e04e, 0x7a907b90, 0x9ff056e4,
+    0x24706127, 0xe1099371, 0x85664cb4, 0x11df996e, 0xa206fbe6, 0x1e7c3f97, 0x1a0cbf8a, 0xaf433802,
+    0x9c1607fe, 0x3150876d, 0x50ae609c, 0x6cf9a2bf, 0x525b42e7, 0x6c2a2918, 0x2b558348, 0x59eca59b,
+    0x92626818, 0xd164efd5, 0xf892870b, 0x2899ac20, 0x3e6c430f, 0x204f80f1, 0x3e856e3d, 0x7eeb7399,
+    0x7dbd0c9e, 0x9a4102bf, 0xcb8da049, 0x45bd7e0a, 0xa0763e7e, 0x08b74adf, 0x01d30cee, 0x29d407d4,
+    0xfc7bb0dc, 0x69e73cfd, 0xfc9f9b8c, 0x7b3495a2, 0x1d7f7f36, 0x474601f6, 0x7e6b9ff0, 0x8cb3f72c,
+    0x8bd757fe, 0x5e324251, 0x81e927dc, 0xd8d1fe42, 0x284daa8e, 0x41a5cf7d, 0x872f6a1e, 0x6077f3a4,
+    0xe8277b02, 0xe6d7b947, 0xe5f88a7d, 0xf93a77c3, 0x362b2e4c, 0x1b4bc962, 0x13acdfaf, 0xb171a154,
+    0xf5a40abe, 0xb838cb35, 0xc275752f, 0x06b60414, 0x58c6bb07, 0xc40c9c4b, 0x3dc3ee79, 0x7669359f,
+    0x22912276, 0x56aec11d, 0xa95e750e, 0xaf7468a5, 0xc3c2be0a, 0xec23d73f, 0xb12dfb67, 0x409c99d5,
+    0xa0054a48, 0x6eeb6b1b, 0xffd4ccc8, 0x70334829, 0x5e65687d, 0x31d9391b, 0x7afb1436, 0x23bdd0f5,
+    0x927c876c, 0xc85f6f11, 0x8f2bd21e, 0xd3c30b4f, 0xd14c5c43, 0xd895d8b8, 0xa11cb630, 0xaa4541d7,
+    0x59cd2296, 0xf9ef25b4, 0x919c3920, 0xe5afff75, 0xfe57625b, 0x09fd6fe9, 0xe5129c98, 0x3977b500,
+    0x325feec1, 0x48d9422b, 0xa6b1fef0, 0xab2915ce, 0x9c5171d7, 0x8eec897c, 0x866b3190, 0x8e9e1c9d,
+    0x71230951, 0xbeeca13c, 0xacbeb503, 0x1a4013a5, 0x3d2fd6f2, 0x4b8e9cae, 0x428f349d, 0x6c918fc7,
+    0x640518d7, 0xc500f664, 0xe9dd2348, 0x97a33cc4, 0xc1259c39, 0x67222c5b, 0x979927f5, 0xb57e9363,
+    0x6c4c8e0c, 0x122a17a4, 0xddde5cec, 0x5e40bf56, 0x56d617a0, 0xa159eff9, 0x42e22ed2, 0x6fc8a907,
+    0x1b1e6e70, 0x03f3237f, 0x9685950e, 0x96b8a7a5, 0xd0710fbe, 0x27441c1c, 0x6bf5604a, 0x4c44d1e9,
+    0xc5641740, 0x852c0ee8, 0x5ead2466, 0x2d29cdf5, 0xe3d2890f, 0x86d14c8c, 0x13ec2deb, 0x574e289a,
+    0x12d45e75, 0x3603fc02, 0xb92c59ee, 0x213fd0e6, 0x53acf986, 0x1a4f26ba, 0x4bdbf1cd, 0xdbebbc5e,
+    0xd61338c6, 0x797bb27a, 0xe23821b2, 0xa2137815, 0xb77d0d6d, 0x8bf445a7, 0x4bcac393, 0x1299ec4e,
+    0xe21a4dba, 0xa513aa39, 0xf55b2044, 0x010eb999, 0x497cdc7d, 0xebcc8ca0, 0x33194cc1, 0x5b83ea8d,
+    0xc7fd9f74, 0x484ab13e, 0xfe35a0b1, 0xb5fd80a4, 0xd401a4c5, 0x1d01edf6, 0x1e22e345, 0x30184a9e,
+    0x4537ca18, 0x74ce1877, 0x140655d8, 0x365f4a21, 0xe8614745, 0xdd7b1e79, 0x5d11c36c, 0x02113cfd,
+    0x2ca32fdd, 0x6de6255f, 0xfeac5765, 0xefa6644e, 0xa91a5054, 0xd6de711f, 0x9b4410d3, 0x81ef1a5a,
+    0xb60abf11, 0x7159db75, 0x2b18e6e5, 0x5d8d35dc, 0x34750e45, 0xd9b7f4d9, 0x24f51c0a, 0xc8c83f52,
+    0x6f63dcd5, 0x17893cf7, 0xa6afd829, 0x573e24b3, 0x94f95c9e, 0x9b3d9ce8, 0x953b5922, 0xbffbc57c,
+    0x43931c36, 0x74e876ac, 0x69381e28, 0xe48eab7b, 0xcbac9025, 0x5cd4e113, 0x0e9f7969, 0x2393f665,
+    0x88f941d8, 0x2d054796, 0x69bf9c90, 0xdb7d328f, 0x5ac200a9, 0x09cb4cf7, 0xc6a43719, 0x727d381e,
+    0x1c17a453, 0x93438991, 0xdc55bdb4, 0x3a351379, 0x208609b5, 0xb65c8755, 0x8064819a, 0xdaada10c,
+    0xa465c180, 0x2b196a2e, 0x08e1ad2b, 0xaf2c4b2d, 0xf15e2f53, 0x8740e998, 0xabc27c51, 0x1c24b6e6,
+    0x6be35441, 0xd309ed28, 0xc071a00e, 0x19e4e112, 0xd2faa103, 0x7add9013, 0x99dcac70, 0x97e531ca,
+    0xcdecb7d8, 0x2b7702b3, 0x79678a1a, 0x3b0aac14, 0x3f1443c8, 0x107c69eb, 0x7522113a, 0x9aa19e95,
+    0xd74fe1cb, 0xbfeb0426, 0xf9b38a8a, 0x7e39916e, 0xf70d8a44, 0x09fc5629, 0xc43ef82a, 0x25e32f26,
+    0x3cb6474e, 0xdd4f8b23, 0x7d2fd5e2, 0x6af11501, 0x833ac76e, 0x8b1c1619, 0xa154966c, 0x52f7b41f,
+    0x9f92dfaa, 0x74d32e6c, 0x8772b5f5, 0xc52f2236, 0x5725fdd2, 0x1b574c9c, 0x1a634f3e, 0x22c97a1c,
+    0x07b62ccc, 0x24d859cc, 0xe379ce23, 0xdafe5574, 0xb3cc6f5c, 0xc76a03ae, 0xdf3fff5e, 0x39775505,
+    0x4831fef6, 0x75452410, 0xac1140f4, 0xff61428c, 0xcdc7d8d3, 0x746573c9, 0xc0b40b6f, 0x85530691,
+    0x9f06274b, 0x00fca36f, 0x76fe0009, 0x8c77d925, 0xec6864e3, 0x80757786, 0x6743ff67, 0xaabceda0,
+    0x4b2827e1, 0x71d14af0, 0xcb583725, 0x7f1425bf, 0x0c03ae3c, 0x892f4a80, 0xd67a6b48, 0x31bc84a0,
+    0xce3085ec, 0xc26269a3, 0x0447e166, 0xd9d6c57b, 0xab57499f, 0x28c49652, 0x872d2749, 0x786d73b6,
+    0xbeeb8ac7, 0xe743dbed, 0xcf0634c9, 0xeda8af88, 0xa807617b, 0x469604d5, 0xda17a8ab, 0x0ae20339,
+    0xb7d43226, 0xa6b7aee1, 0x19a3f848, 0x8d887113, 0x802cc344, 0x7b07f965, 0xf964a8cd, 0x98c436c8,
+    0xa00b7439, 0x850fd3f5, 0x6043e322, 0x02044293, 0x02b46770, 0xe1e1d0b9, 0xc31f2985, 0x2555dafb,
+    0x63aaad46, 0x19680367, 0x8d6930c8, 0x16e2f0c6, 0xbafd9659, 0x28511b7a, 0xe1873230, 0xbad1a4c4,
+    0x36b8abf6, 0xfb8f5073, 0x82842c05, 0x4b3008b6, 0x36900696, 0xd927293f, 0x70c9d5c7, 0x449d998f,
+    0xbbf84766, 0x5719f574, 0xfd76d52e, 0xbd714a24, 0x82dfe04b, 0xd0652307, 0x9e5fa86c, 0xac7347a6,
+    0x24a77292, 0x90d832d0, 0xc56f63be, 0x6e44234c, 0x69f74a02, 0xa1a233de, 0x8b66e579, 0x2b2d5c72,
+    0x11499b52, 0x93b97c99, 0x3612fd52, 0x3b183885, 0xd745b6a1, 0x28707342, 0x0e68e2da, 0x094fe0cb,
+    0x736d5195, 0xb60950b5, 0xdfa4992b, 0x57ae67b4, 0xc8797beb, 0x5424be9e, 0x2da0336c, 0x993485ba,
+    0xf31d902f, 0x0f751192, 0xc7133729, 0x8ca0f1e8, 0x86077282, 0x60dc970c, 0xc0a48498, 0xe05e9e22,
+    0x056a8ab9, 0xd2e51ccf, 0x2a1599f2, 0x0f25f5f7, 0x5249b3fa, 0xb40a35df, 0x18069f57, 0x08a0d36e,
+    0x5d4efaba, 0xadfba6a5, 0x98146d0f, 0x4cd908b7, 0xbb51e3fc, 0x07911be7, 0x4ab8b360, 0xfa56c5eb,
+    0x382754c0, 0x57f803c6, 0x8ca50170, 0x4e74d851, 0x63a2e755, 0xbd41fab2, 0x26401dcf, 0x5a02b20f,
+    0x40659697, 0x32be98df, 0xfe852937, 0xb8c100a7, 0x1a9ad91f, 0x12fbed64, 0xec8654f8, 0x0bf6a5d9,
+    0x4747e331, 0xc21cbb35, 0x98ff34b6, 0x5c774933, 0xb4f6fac6, 0xf3f4fbfb, 0xd959a7d0, 0x33425a6a,
+    0x01865f05, 0x8be47ec7, 0x8f5c46fc, 0x4d8c1822, 0x8f97496b, 0x8fc324ad, 0x0a3b7578, 0x6836e60f,
+    0x8c198693, 0x48e08928, 0xe6e8a309, 0x7a32e533, 0xe3ddedf7, 0x8a0f90c0, 0x706cd75d, 0x0efe3b8c,
+    0xd9d1caf1, 0xdedcadba, 0x1ca56862, 0x94dcc303, 0x43ac6f8e, 0xdf3dc08f, 0x46084b04, 0x07d53091,
+    0x13070e90, 0x28bb7f5d, 0x1f905e4e, 0xe7dbd2ec, 0x66471a42, 0xc672a34d, 0xfc421a3b, 0xac2d3251,
+    0x632ba653, 0x97b4bcf1, 0x135f5fd4, 0xf465f2fe, 0xb318ca90, 0xb65a2360, 0x35ac7354, 0xea51ea8c,
+    0x4b23bdf4, 0x7a82a79c, 0x629157e5, 0xb4fa71e6, 0xbda5bf7e, 0x0ca866ee, 0xf4deadb8, 0x2736dc8f,
+    0x8f8d2e33, 0x8a08a98c, 0xc1796bbc, 0xe80f2697, 0x518611a9, 0x082905d2, 0x9a2d264a, 0x6c761aee,
+    0x57065c3e, 0x2478523e, 0x33f88a55, 0xb2342c2c, 0xce048f1b, 0x1780da0a, 0x6c589e09, 0x3096366f,
+    0xa2973cf2, 0xdd63ca6a, 0x69cd6716, 0x98cd5473, 0xdff17d73, 0x8a6785c3, 0x41e28912, 0x715b32bc,
+    0xc90e5b4f, 0x31f43b6d, 0xcddc4bff, 0x9d54df99, 0x37dbaf16, 0x65f11ef0, 0x848fce07, 0x20928356,
+    0x2cbb77e5, 0xf380dcd5, 0xed9bb8b1, 0x71d229b3, 0xa7f0797c, 0x1a6f255c, 0x18ac1fc3, 0x8f277be1,
+    0x00000000,
+    0xb9201596, 0x2f5850d7, 0xfaad8eb4, 0x7ce8f892, 0x3f7a7754, 0x16741994, 0xb2020b9e, 0xb53a46da,
+    0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000110906787764832594383136567365723348137457483015032663\
+                         00681918322458485231222502492159897624416558312389564843845614287315896631296 */
+  { 0x00000000,
+    0x938472fc, 0x31813a13, 0x9f339c1d, 0xdda0a114, 0x5ee6aac2, 0x8e45d211, 0x6b1b989b, 0xf1f704f2,
+    0xee891208, 0x5f86d196, 0xcf716d7a, 0xbcf70826, 0x21b292af, 0x6b077c1e, 0x5db3ed18, 0xd403176e,
+    0x01145e29, 0xc5645966, 0x0a32006c, 0x21ca5d81, 0xdc442100, 0x21adc5c5, 0x3375ea32, 0xb46738a8,
+    0x5a7204dd, 0xc0f784ae, 0xdeb58e26, 0x315537a2, 0xee1e20c2, 0xc3817cef, 0x7cab72d1, 0x86acc4e4,
+    0x5f8e8931, 0x1e49b1a4, 0x4c7990f6, 0x8ac6cb87, 0x30b37798, 0xb3c4d4f7, 0xa64b12c1, 0x3b9fd7b5,
+    0x4769d1eb, 0x64f7f5cb, 0xdb3a6bdf, 0xfa7daf16, 0xc7669439, 0x12d4feb3, 0xb4d1153e, 0x60a7c5d9,
+    0x7b728f74, 0xf7f80711, 0x3df0396c, 0x57971f31, 0xa75822b4, 0x2fcbe1f4, 0x83c2e02d, 0xdc28b06e,
+    0x468ad192, 0x069a66d2, 0x7badc287, 0x618b1a4c, 0xd124438e, 0xbe1f4336, 0xa29a9062, 0x369a1062,
+    0x0aef4c9f, 0xbe7c871c, 0x1250bb3b, 0x07e274d6, 0xeb695140, 0xfcc5a701, 0x208bb8c0, 0x7a4c43ed,
+    0x7c0be067, 0xe719bfc1, 0xd78abf97, 0x4b507c59, 0xa28fe0b9, 0x9738ab39, 0x86cc32fa, 0x54b60c02,
+    0xc9edc34f, 0xe86e4c3b, 0xe1ae6684, 0x22f3d664, 0xe24b748d, 0x3a3eb6b0, 0x413b7323, 0xb9e3248b,
+    0xe79362db, 0xb68a5941, 0x66f11d4b, 0xda0b34b6, 0x8609cf98, 0xda11ef0f, 0xd26949d4, 0x3db74d5e,
+    0x29770442, 0x32a7fdf8, 0x9869e193, 0x08546aae, 0x6eeb46e2, 0x9b4907d6, 0x9eb1df08, 0x3ec15e1c,
+    0xc9c21e3e, 0x19046f9b, 0x25dd4a6f, 0x74d36038, 0xfd7cfa22, 0x490704e1, 0x42c92963, 0x84ec80fc,
+    0x15a2063b, 0xfc807747, 0x917c11e8, 0x359e8619, 0x0e1e91dc, 0x68fc65d1, 0x74e5ff97, 0x65603000,
+    0xa770b25b, 0x8bddd2e0, 0x2c5e497c, 0x8c7554f8, 0x125fc5a5, 0xd730814e, 0x5b72d77f, 0x5ce3747a,
+    0xe6b7ba29, 0xae03f10d, 0x216a68f9, 0x71cc95d1, 0x79af3ae3, 0xff4400a8, 0x4414a500, 0x2b64eedc,
+    0xaf0a7428, 0xf519265f, 0x9f40f6e8, 0x84138123, 0x8768d040, 0x93bca7ee, 0x05b194f9, 0xb16a3313,
+    0x9089fcf2, 0xaf395cd5, 0xadf6579c, 0xd36500e9, 0x51adc49a, 0x531ad559, 0x6a160e82, 0x1bcc88b0,
+    0xd8a618e2, 0x5c889bff, 0xfaeef087, 0x7263135c, 0x8afecb67, 0x9f41b8f0, 0x3df0b847, 0xb4df2253,
+    0x4e1910eb, 0xaf164d31, 0x592a463e, 0xddcd57bc, 0x17f617a1, 0xd2820da3, 0x4ae56cdc, 0x2e1a167b,
+    0x7dc2bbf6, 0x0ea629ae, 0x39862c93, 0x8741e815, 0xafa8206b, 0x3c28e805, 0x019e2f36, 0xd987ab27,
+    0x8656b594, 0xb37db018, 0x79f8a470, 0x6243ec0d, 0x9b29b5f2, 0xad89a7f4, 0x32c5c877, 0xdce07c4b,
+    0x7b1d1da3, 0x88b8e4e3, 0x21223064, 0x0ec8ea85, 0x2b35860e, 0x046c5e85, 0x4aa9d29e, 0x3edfc5da,
+    0xd416f248, 0xf67762fa, 0xf870a047, 0xd5da9659, 0xcaa408cf, 0x6d6d6245, 0x65bb2055, 0xfdb29935,
+    0xb81427c3, 0x74d9d5be, 0xbfb4e5e2, 0xafda135f, 0xde77882b, 0x18a1d732, 0x178dbcb9, 0x7c93c59a,
+    0xfd02ee75, 0x007d2213, 0x2046012a, 0x06267778, 0xd9bb04cd, 0x6cdf29aa, 0x9d16ac42, 0xaf10ae18,
+    0x9db1367d, 0x1e9b7ae3, 0xa2346ba2, 0x027c3fd3, 0x79902b42, 0x733381a2, 0x51f3c911, 0x529c6f03,
+    0xb61cd68f, 0x03a8ccc9, 0x444857b5, 0x4df04324, 0x2aba1880, 0x39f27e4d, 0xf0648adb, 0xb875ee36,
+    0xa001686e, 0x58ad6cc9, 0x399f1f61, 0xacec4f1c, 0xd20a4e2f, 0xf56a7b31, 0x4b4b8d20, 0x1067d0e2,
+    0x02ad0395, 0xfee1d715, 0x8840866b, 0x06918444, 0x05fd2ae9, 0xe8f41ee2, 0xe74fbbea, 0x31aac92a,
+    0x27f05467, 0x220e0e84, 0x3d8f33a2, 0xbcc9178f, 0xaec1aec5, 0x487baf32, 0x539306b7, 0x1734a007,
+    0x13751375, 0xeff21f59, 0xa21a79a2, 0x36d88cd4, 0x75e705e5, 0xae779c45, 0x374f1bf9, 0x0252249e,
+    0x84caa141, 0xf4e1899e, 0xfea02b60, 0xc81b7892, 0x147809ef, 0xd5cc0882, 0xee9326b5, 0x7e429854,
+    0xacf8eba8, 0x27a9ca76, 0xb61119c6, 0xa73ccbc4, 0x5772b00c, 0xe30d9d71, 0x702bd3c2, 0xbd0f8abc,
+    0x7cfb328a, 0x41d64a08, 0x23b5e9bd, 0x01711fe6, 0x75a53e31, 0xf9d9d0b9, 0xf955ee67, 0x81f1532b,
+    0xc2f2c5a2, 0x1bd64447, 0x673cdeb3, 0x82bd6b88, 0xd0918435, 0xb5429da3, 0xa4e29c30, 0x4fa27cdd,
+    0x8ce9eada, 0xa16d3fd8, 0x2e7a59fc, 0x5db8cb78, 0xfa9b1108, 0x142f172f, 0x58ff92af, 0xdd776741,
+    0x916a1db8, 0xfee833bd, 0x37fa26fb, 0xe70f76c6, 0x40b63696, 0x060e7bd7, 0x028c24aa, 0xd3166866,
+    0x4714b464, 0xcabd39b0, 0xda8ed049, 0x3fb45bea, 0x675e14f1, 0xf31e4384, 0xcf04540f, 0xcd892cf7,
+    0x5e3c110e, 0x8b07869a, 0xc957fa9b, 0x43217959, 0xddb36888, 0x8faa442d, 0x98ed4062, 0xdfa43a3c,
+    0x2e55f804, 0xf2ef7259, 0xf8872201, 0x4b27d248, 0xcf46825b, 0xc7d06ab2, 0xa9cec24c, 0xe08499b8,
+    0x34dd1a57, 0x6347ce31, 0x3f39ec8c, 0xc330b676, 0x81d6073a, 0x708fca87, 0xa3708779, 0x577d8881,
+    0xcb6af8fd, 0xa75a8094, 0x1704a231, 0x411a8a37, 0x6b546e9a, 0xdaa089fb, 0xf51e466a, 0x71fcb4bd,
+    0x33a64481, 0xee09dca3, 0x39bbc145, 0x53da1d3b, 0x0ba88573, 0x1486a12b, 0x4dd11489, 0x1ee8e436,
+    0xb261293e, 0x65105576, 0x11a8e59d, 0x956100cc, 0x4f2184c6, 0x2430b671, 0xbe2b938f, 0x3b8079e5,
+    0xcd4a893c, 0x5440b446, 0x2c9d47a1, 0x1a487468, 0xd2e8bf6f, 0x8a523887, 0x96ba5c6f, 0x249367f7,
+    0x914b70fc, 0x8e89fc02, 0x85bae28c, 0x68c95613, 0x36e79be7, 0xb88bf792, 0x724fdff5, 0x7c6446ab,
+    0x28ff5f53, 0x0cebb75a, 0x927e0e58, 0xdd221246, 0xeed1b8e8, 0xefc6c89e, 0xda25b29f, 0xe29d52c1,
+    0x0d8933c9, 0x2eb32f32, 0x33fa390f, 0x38c5246e, 0x733c86af, 0xa5fefcea, 0x40057739, 0xdabe293f,
+    0xece0e350, 0x947dab07, 0x80f58a87, 0x5e091d59, 0xb16c8966, 0xf2a7914d, 0xb84f25f1, 0xbf71f136,
+    0xcc43d0e4, 0x18c3211b, 0xdd70bcbc, 0x4655e6d5, 0x6d2e48bd, 0xc4684dcc, 0xc4152daf, 0x609bd4fe,
+    0xb6674f02, 0x23126892, 0x1d224aa5, 0x8c859eb3, 0x459dccf0, 0x3c492ed9, 0xae73d147, 0x14a78020,
+    0x45e85369, 0xcb0aed23, 0x9a235c31, 0x2c223f76, 0x3306388c, 0xaa089d14, 0x229ac07e, 0xaedd9722,
+    0x4c037a44, 0x85eb6e8e, 0x7a6e6aa7, 0xc5b26e32, 0x3ca5e5b7, 0x01829d92, 0xa4681a69, 0xe4d5ac1d,
+    0x68ae6b75, 0xe36021f9, 0xfe639d54, 0xe5a57a80, 0x2e477e4c, 0xa138c83c, 0xb5dcd7d9, 0x9a8214ad,
+    0x360f0d7a, 0xc01f3adb, 0x1c9b6697, 0x23ee249e, 0x42150b8e, 0x332ad743, 0xa0ded563, 0x45914488,
+    0xba27c79c, 0x63066213, 0x88f5698c, 0x692858b4, 0x14d538bc, 0xb93acefa, 0x3dbee465, 0xdc68dc12,
+    0x2eabdff0, 0x0f18e7ea, 0x904abcf9, 0x3dc7b357, 0x975a000a, 0xab5e1a97, 0xa0baf9a6, 0x63ff8c20,
+    0xaec0f6f8, 0x8e360f76, 0x4bdfd7fb, 0x9c722879, 0xa7a3ab44, 0xe09dc7d6, 0xc4343fb4, 0x78372c7d,
+    0x55da23fc, 0xbdf693ee, 0x2102f79a, 0x153ca093, 0x3394b1fb, 0xa196e435, 0x28cc4363, 0xd920179d,
+    0xfe168416, 0xa242d2a3, 0x6504b22d, 0x2f7d727f, 0x0f4ab789, 0x81361676, 0xfddeee4d, 0x38a009be,
+    0x692198c1, 0x07b5562d, 0x8e224bd7, 0x8e6ad289, 0x21a3ce77, 0x60826e82, 0x11999ba6, 0x618723dd,
+    0x3afaba9c, 0x38d165c5, 0x984765a3, 0x7feeb2ee, 0xaa51c92a, 0x98c53061, 0xa422d152, 0x3f2c23da,
+    0x5c96885a, 0x76ecb498, 0x2cb95011, 0x1283071d, 0xe9775617, 0x55b74dff, 0x6b5206d7, 0x2881f817,
+    0x72f822c2, 0x93179477, 0x2af46525, 0x28b3f279, 0xdb938d0f, 0xfd1b3842, 0x4b96ede7, 0xb424846a,
+    0x1e1e890f, 0x54f0e456, 0xacc93f67, 0x7fa76baa, 0xff362308, 0xdcb98970, 0x02712b76, 0x8d385ac1,
+    0x6eff1188, 0x2c2a9a04, 0xdc5ae1ca, 0xa4e0f460, 0x42ac7db9, 0x1a1ab13d, 0x6cf980a3, 0xad0e5bdc,
+    0xc3dda16a, 0x2d145316, 0x367bf180, 0x8dc4570f, 0x632719a2, 0x9630a603, 0x51cce6f3, 0x2b6e4611,
+    0x7b2e82f8, 0x05146e5e, 0x663578f1, 0xa6abce42, 0x336c212d, 0x17c45e50, 0x01406f9c, 0xbfb10b1e,
+    0x0ca86b58, 0x1b8a2744, 0xf79b0ef1, 0xac7b234d, 0x0f8d9fb9, 0x8b94fe86, 0x3f0b78df, 0xa568931c,
+    0xa522a55b, 0xf958d164, 0xc74cc49f, 0x54a56c36, 0xf8140909, 0xbd7909cd, 0xdcb0e1b4, 0x167ae656,
+    0x7cdc24e5, 0x9611fe05, 0x63368d1b, 0xb9bad7cd, 0x806d1354, 0xc827aa1e, 0xf7cb6ede, 0x80f33952,
+    0xe9540f87, 0x5bc00b9c, 0x3f05ff79, 0x4a204bcd, 0x39d9ac1f, 0xa5a75407, 0x40fb795f, 0x1fb4038b,
+    0x44bb234e, 0x45ad355f, 0x56628263, 0x9ed3d003, 0x682cf84f, 0x8df8a0e6, 0x6354c345, 0x74a5ee41,
+    0x1cebdf29, 0x61af6edb, 0x62a2fe69, 0xcf4d96e7, 0x4f54fe7e, 0xd323291a, 0xd56f2ba6, 0x08b5efd0,
+    0x95e1c95f, 0x8d15915f, 0x2338378c, 0xbeb96df8, 0xa381a1e0, 0x58623a9c, 0x6b26ee1d, 0x0299c174,
+    0xa67ec7db, 0xfd3ab45c, 0x1cadf316, 0xa9300a32, 0x500fed43, 0x0536e55b, 0x9e8d9d2b, 0xd05dfe11,
+    0xd14c998a, 0xe9741248, 0xe06f8c32, 0x2f994013, 0x59359c14, 0x1c4864bf, 0xb11eb469, 0xbf5b408a,
+    0x5cbdaf3d, 0xda891c11, 0x7d3a6575, 0xfc7c5a20, 0xa8e7e1f0, 0xebe4d629, 0x6779e131, 0xd3eab6c6,
+    0x95b0fd32, 0x2d559697, 0x269f6179, 0x0661d4a1, 0x8626cc3c, 0x1bb266ca, 0x7f27ddb3, 0x307aba2c,
+    0xc71dd6c4, 0xe23d7129, 0x92f8bf43, 0x35fbeb71, 0x57b30509, 0x1ea5a83f, 0xb9d4320f, 0xe8434c97,
+    0xe03fc7a7, 0xe09897b5, 0x46ccbcad, 0xf08a027c, 0x3e7b6bff, 0x9feae98e, 0x11d5f7f7, 0xed736bd5,
+    0xc22f3ad2, 0x6a44df64, 0xeec5b9b0, 0xae53a819, 0x3dbd360a, 0xc923fbf5, 0x2f6cd835, 0xba29b64d,
+    0xcc9c10ff, 0x0100e479, 0xcb434bd9, 0xa304bbb5, 0xa92e6399, 0x69881161, 0x08542794, 0x1af5c4bd,
+    0x52b2899c, 0xde8b2b59, 0x92d2d9b3, 0xbaa54c90, 0xf8ca1461, 0x866b592e, 0x03806ecd, 0x12075fe6,
+    0x6fad3c35, 0x75ac5b4a, 0x89832ae4, 0xe6926037, 0x36178a99, 0xc0fdabd6, 0xea39d3c8, 0x8f3e8482,
+    0xaced3d12, 0x3e332534, 0x05e1709e, 0x1779a43e, 0x5b5fc1f3, 0x9c657694, 0x82a35307, 0xb3769e52,
+    0x8465d7ea, 0x37a9e03a, 0x8a0884ea, 0x194569a4, 0x91a3072e, 0xb19ee96c, 0x3368553e, 0x3491cfa6,
+    0xb1603c05, 0xba79a4f7, 0x8ea05c86, 0xf58157c1, 0x72d30944, 0xc3d08820, 0xc1381bc9, 0xd4f18cfe,
+    0x6b60c3ad, 0xc5550670, 0xa9505d6c, 0x3a5ad451, 0x31bcbec7, 0x837bba74, 0x1d6140bf, 0xa50b0b20,
+    0xd6fe7acb, 0x35ddf8c3, 0xb43d53e6, 0xf048351f, 0xa2da2954, 0x03b55492, 0x7d2e106a, 0x58281227,
+    0x2fd73652, 0x0afddb7e, 0x12ce4573, 0x45016734, 0x9f9696c3, 0x96ccee38, 0x5c16ff9d, 0x4b02d6aa,
+    0x0da724bd, 0x0c8aced2, 0xcf8672c4, 0xa0c94289, 0x677b3b4b, 0x55c8a3b0, 0x06445d2a, 0x8460dffc,
+    0x5881d531, 0xecd70f7f, 0x3fb4f275, 0x05e7a464, 0x34967419, 0x8553f289, 0x5ffa8dc5, 0x93f8847d,
+    0x62726396, 0x911b142a, 0xd12b408b, 0xae4a4c41, 0x4264cb18, 0xe5b702a9, 0xb8f6fbc1, 0x24b44d0c,
+    0x9e62bc7d, 0x72647e38, 0xce5fa787, 0xcc375ec3, 0xe6c101a8, 0x903f058b, 0xc4d8f876, 0x6868d1dc,
+    0x70971c90, 0x82f791ee, 0xcff59678, 0x7bdd1a9f, 0x94f7e2e1, 0x1bdcec38, 0xba2b519f, 0x6ab023da,
+    0x41b8af70, 0x250d90d5, 0x3086da78, 0xaacba655, 0xb87dadc2, 0xc300d811, 0x3bd1a40f, 0x5206abad,
+    0xd77ead63, 0x485ec862, 0x31b79cf8, 0x30b528c4, 0x6e810a9a, 0x1e049170, 0xd11db02e, 0xe3a582e6,
+    0x881815ae, 0x3ff62f82, 0x9501a13f, 0xfaf2ea09, 0x69e835a0, 0xee05bc5b, 0xa4c8fb23, 0x9a95e086,
+    0x8c390a7a, 0xaec0fa42, 0x0566f99d, 0x344e8729, 0xb70d3bdf, 0xa4175ac7, 0xcfbf0636, 0x0cb770a8,
+    0x25fc52b7, 0x9982ce66, 0xcd720715, 0x05a43e62, 0x5b6facb1, 0x355b8ab0, 0x37a1195a, 0x8bc5e6d9,
+    0xd43ec3be, 0x446c0068, 0x5cbc7072, 0x2dd02353, 0x27878739, 0xf3da04b5, 0xc0c173ec, 0x4a76717c,
+    0xa076c14e, 0xd0cc31f1, 0xa9ba489d, 0xcede8306, 0x15978aa6, 0xcc387162, 0x77998318, 0x8a7b6c64,
+    0x858c1f7f, 0xb12def13, 0x1378b62a, 0x6742bc03, 0x8f1d3322, 0xae19da06, 0xf0817129, 0xddd1c64e,
+    0x117455b8, 0x4929e3fa, 0x170f40e8, 0xab1a056a, 0x6597a1da, 0x2fa0405f, 0xefd60a72, 0x1cf69c68,
+    0x3a973ea8, 0xbc14677f, 0x02fc5d96, 0x96e13827, 0x63d0fc9e, 0xf9ac3145, 0x594b4fa5, 0x9b143e2f,
+    0xc7a56aa6, 0x13a25530, 0x004e95f9, 0x71b01c22, 0x061fd0c5, 0x5badf2dd, 0x765bd643, 0xe76032fc,
+    0xb64fa122, 0x0588eeb9, 0xe61a74f1, 0x2915ed1c, 0x690af7f5, 0x760ff4d9, 0x1ceadabb, 0x5a6ef603,
+    0x252f2e1a, 0xa0f874f5, 0xea6fc3a2, 0x049ec629, 0x8fae5942, 0xd96f8cf9, 0xa48ea4b8, 0x0a5545e5,
+    0x23d812c3, 0x1e50a397, 0xd5c960f7, 0x9e3b9333, 0x2616cf99, 0x3d6a13b2, 0x10aae158, 0xf3ef464c,
+    0x6fec675c, 0xe0aa792d, 0x9124a470, 0x8285ee78, 0x58b567c4, 0x04ba1c43, 0xded6f075, 0xd87ec4ee,
+    0x16bc96b5, 0xd2b80226, 0x603c8946, 0x8a9c5824, 0xc4fece22, 0x72cd0a91, 0xb1d04816, 0x9455c93d,
+    0x10b8cc15, 0xd82a9afc, 0xa179600b, 0x569352de, 0x51083884, 0x37a94abf, 0xb5861733, 0x8a961335,
+    0x779ac9a0, 0x8b776b6d, 0x53fe182e, 0xb4fe9e3a, 0x0a936a63, 0x1d0598f1, 0xe77fb390, 0x0503fff3,
+    0x3ab457a8, 0xb7fe1b03, 0x7684590c, 0x764e8a8d, 0x60e33690, 0x57e1ff7f, 0x067537a3, 0x5d7f56c1,
+    0x8f51edbe, 0xbf6a7a50, 0xaa719a15, 0xdd26f41e, 0xc8595e7e, 0x6d33771c, 0xbd10c183, 0x9f2cb237,
+    0x5fa9f938, 0x9682b727, 0xae9440fb, 0xad16b050, 0xe69c793b, 0x07b85b27, 0x604f028e, 0x287078aa,
+    0xb23e616f, 0xf4ddea45, 0x8a4a785c, 0xc09384bc, 0xe9fb0c2a, 0x702d8bd8, 0x219f84c4, 0xdd1ef5e3,
+    0x817e9bf6, 0x9120c944, 0xd6a83ff7, 0xe91bcc04, 0xc55846b5, 0x4a346fbb, 0x297054c3, 0x8016d24c,
+    0x2d408c2f, 0x92aa2dd1, 0x9554d564, 0x05a8402d, 0xede1d5e5, 0xb35ca584, 0xbae768d7, 0x436ed797,
+    0xa590459d, 0x2f8a2920, 0xe2ebc5cd, 0x665fb82a, 0x6bdea9ec, 0x18469843, 0x30d25c09, 0x25fdf269,
+    0x45ccfca3, 0x78ae0ece, 0x9e9d3041, 0x2830aac1, 0xe97f0ef2, 0xca48e82f, 0x84bd7b6e, 0x0d2bd4c4,
+    0x2fe0e618, 0xa384dffe, 0x1a7b015e, 0xd070d2d9, 0x3d0ec2e8, 0x27fe20a1, 0x69df6f26, 0xedd2b047,
+    0x507ef12a, 0xf933a88f, 0xe747ca05, 0x08edc702, 0xf0372fb5, 0x419aa1a1, 0x5123ac26, 0xbf6f7180,
+    0x00000000,
+    0xdc900aca, 0x17ac286b, 0x7d56c75a, 0x3e747c49, 0x1fbd3baa, 0x0b3a0cca, 0x590105cf, 0x5a9d236d,
+    0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000055453393882416297191568283682861674068728741507516331\
+                         50340959161229242615611251246079948812208279156194782421922807143657948315648 */
+  { 0x00000000,
+    0x8aeebb89, 0xb3947e22, 0x562d181d, 0xa8f46531, 0xa22659d7, 0x44c65057, 0x9acaef74, 0x61aa46b7,
+    0x82c43187, 0xd42f4c0e, 0xee8ae0df, 0x6f8bc550, 0x1297138d, 0x6e370796, 0xd247be46, 0x2e7cd38c,
+    0x72e5fb9f, 0x3f54e26f, 0x4be64f9b, 0x02df6578, 0x2237ab4d, 0x27c1f1c0, 0xb7d6f436, 0x7a5a1803,
+    0x0b47c78f, 0x74407c6e, 0xa4047870, 0x4060a4ba, 0xf2b1c5a7, 0x45303e83, 0xd6ae0006, 0xc8251105,
+    0x42764318, 0xa9f46224, 0x48b7b390, 0xe8586cac, 0x102ed961, 0xb72b98d0, 0xb7373d4b, 0xdda3f6ba,
+    0x0804f134, 0x49eae44a, 0x6f61a2ae, 0x39d51f1f, 0x11b09596, 0x12f8780a, 0x39e51887, 0xe682e799,
+    0x906522f4, 0x842dcc0a, 0xb60efa36, 0xe8f0984e, 0x03eeb86c, 0x595e7778, 0x8277dce8, 0xf68d5e07,
+    0x452d0cb8, 0x3d10eedb, 0xcbfb55f2, 0x3cf01274, 0x93f9cff4, 0x1fde0691, 0x33e493b4, 0xc7aa6cfd,
+    0xd01eaed9, 0xbf9f99be, 0x1713d011, 0xbde2ba0c, 0xf49bb031, 0x9d18c25f, 0x11d4fba2, 0xc73d1356,
+    0xc5e130e5, 0x0c4319f7, 0xb2831ec0, 0x83b26e19, 0x2c86fd59, 0xedd802fa, 0x717419a6, 0x619c487d,
+    0x633a44ee, 0xa9e6b89f, 0xb3215aae, 0x0620dc56, 0x5614d0b1, 0x285f36e7, 0x88b3ae51, 0x00b11804,
+    0x67009883, 0xce787244, 0x1ef263ab, 0x82784199, 0x56a1130d, 0x76fab9b2, 0x5c4a504c, 0x7bb74021,
+    0xdd786c88, 0xa7e5ee3a, 0x34223dd8, 0x4dfe9e21, 0xf91b1f38, 0x5b39be6d, 0xb62bec1b, 0xaccb44c1,
+    0xc144ce89, 0x0b0beba8, 0xa5bcc1bf, 0xc0ecf5e2, 0x8150b3d0, 0x73e3dfd6, 0x996d41d4, 0x7c15d632,
+    0x287ebd53, 0xfe0012ef, 0x67e2a699, 0x982b79da, 0x5b9faee8, 0x55b9840d, 0xec60913a, 0xa2f36aec,
+    0x104c29c4, 0xfeb93206, 0x5a214e3c, 0xb410ec9b, 0x89960d4a, 0xf83d2953, 0x3a23bf74, 0xc6f3d7f1,
+    0x5afb1e89, 0x30013a99, 0xca96bf3e, 0x8a958b78, 0x3ecff703, 0x1ce11563, 0x6590c9f2, 0x456f9e55,
+    0x612ad002, 0xd8d792d3, 0x0d81d5cf, 0xbf2ec9e8, 0x52b514bb, 0xfd7f4cce, 0xea65f249, 0x48c97609,
+    0x665b5449, 0x16111472, 0x0c9a71fa, 0xfc1293f9, 0xb78d23de, 0x350fd6e5, 0x6d3066c1, 0x09ea4d76,
+    0xb969bc05, 0xefe33bd6, 0x457aabdf, 0xc5bb5b5f, 0x3c617f22, 0xdfde353c, 0x61ec0505, 0x1734d84d,
+    0x356881eb, 0x69a128f4, 0x8d48c991, 0x297cf5c8, 0x490a47e4, 0xec35d9b8, 0xe69c88e0, 0xe0a41e8c,
+    0x93215253, 0xdff29739, 0x38010716, 0xbe175315, 0xfe544431, 0xaaed5af7, 0xfe8cc107, 0xee7b3bea,
+    0x009a400f, 0x5645bc8f, 0xb6a77cf9, 0x7b409f1e, 0xc290ff79, 0xc4dd13d9, 0xb8ef67bb, 0x24907fd0,
+    0xa6030150, 0x02b008e9, 0x4070d302, 0x20433943, 0x0df53cab, 0x838e88bf, 0xc192d882, 0x459c2793,
+    0xf41dab59, 0x64d70c96, 0x493a0c4c, 0xc54bd805, 0xaf3b8477, 0xc25f4132, 0x15c9569d, 0x2caf8bbf,
+    0x57e9ad94, 0x98f96696, 0x1c04bf8b, 0x19c1eda6, 0xae51628a, 0x1f76ee01, 0xbceabee2, 0xbfb01e02,
+    0x68194985, 0xd36b59d1, 0xcf03dbb6, 0x09afcc4d, 0x8ed7a21f, 0x01e8fcc9, 0x94035a6f, 0xe282c0ef,
+    0x146698a4, 0x5a0d2e38, 0x335b541e, 0x71fda8a9, 0x200c5070, 0xa1ba0ee2, 0xbaeb1e85, 0x6cec549b,
+    0x587af3c3, 0x95d9e4d0, 0xff40e3ef, 0x1b2037dd, 0xca85209f, 0xec325969, 0x60d67995, 0xe14bd857,
+    0x9b0ecafe, 0x067c3a51, 0x26575c4b, 0x5bb6a2fe, 0xa6a86a49, 0x0c2e06fb, 0x191a4c42, 0x5a1b1cbc,
+    0x8c087753, 0x80d37de9, 0xd946da3b, 0x8bf2cfc5, 0x9c8a2906, 0x90c7ba11, 0xe379f281, 0x2d0159ab,
+    0xebdc733d, 0x6b72d059, 0x21829959, 0x76e384af, 0xfec95dac, 0x46c01955, 0x94ab5176, 0x77995ada,
+    0x3f00a032, 0x7c3c0084, 0x740c468b, 0x1c70285f, 0xd04260d9, 0xa7cc3ff9, 0xa9057df7, 0x7ee2e7f8,
+    0x82ee4e12, 0x5e2dcf3f, 0x52a4b981, 0x6cd8b983, 0x58956813, 0x6567aee4, 0x56da8e0f, 0xdcc574e7,
+    0xab025e91, 0x56e64997, 0x1a8eadce, 0xa1f9d9d2, 0x4ec7acd7, 0x331dd8aa, 0xb2356935, 0x687a5d17,
+    0xa8191d25, 0x47c360b5, 0xa6a5cba1, 0xfe2aaf6f, 0x2c30e29f, 0x9d05532a, 0x33c19693, 0x3da43e20,
+    0x6085e651, 0xbbc1c4d1, 0x004cb898, 0xc69ce7d5, 0x634c56b8, 0x93547533, 0xad313e25, 0xdb3b13df,
+    0xaa99d993, 0x1c6e7a97, 0xc48c1348, 0x6c3e668a, 0xbb4329f4, 0x8a5bb868, 0x7df709b0, 0x762c0d3e,
+    0x72c371c8, 0xdfb2e836, 0x191f8ba9, 0x347078d0, 0xbe1095cb, 0xe68968ff, 0x4ab29160, 0xc24ca679,
+    0x35e102cb, 0xb41a5f2a, 0x3d69be60, 0xfc111eed, 0xeec27b34, 0xeecee535, 0x147281ee, 0x1a3c2709,
+    0x7532c067, 0x489c5cd5, 0x74bcf085, 0x6cc3f356, 0x5c0a9427, 0x74b0e778, 0x6ecad818, 0xc9c98631,
+    0x51e9ed43, 0x80117c4c, 0x3ddcae9c, 0x2407a076, 0x502b58bf, 0x3256784e, 0x237b83b5, 0xf75f595b,
+    0x7366a3e6, 0x441b067d, 0x35c05369, 0x5ff42ab4, 0x0368724f, 0x5d6c7881, 0x4993b648, 0x378686e4,
+    0x095f9a98, 0x42f8ff9f, 0x765fc1e8, 0x80afa7b9, 0xfd55a363, 0xfc152852, 0xc3e48811, 0xda705ae2,
+    0xf2040094, 0x8e5da227, 0xf608e93e, 0x4a03c1d0, 0x49fc109e, 0x3ab54d0b, 0xc31b3bfa, 0x79644d42,
+    0x8b0220f7, 0x71b7b97b, 0xae3ba1ea, 0x4bd88df2, 0x7b674238, 0x716270ac, 0x581aef55, 0x3cb6d9fb,
+    0xd013f322, 0x00b14309, 0x21c55bfc, 0x282d0881, 0x5e6c3c75, 0x7b98529c, 0x54ffaa30, 0x2e0b492a,
+    0x33d790e3, 0xcd829af3, 0x26f5c022, 0x55d67f74, 0x98cc0cf2, 0x9897fac7, 0xb6c6fdc0, 0xc6e10932,
+    0xc95580db, 0xc6cc1634, 0xd66ca388, 0x48f7da0b, 0x24671fee, 0xef0437ea, 0x764acb71, 0x00087be1,
+    0x0421823a, 0x1ccb381c, 0x88692b65, 0xa5030592, 0xa3848135, 0xf829ccef, 0x31dd7996, 0x7e6eb8e8,
+    0x945de4a4, 0x519698c0, 0xf13a3f0b, 0xf01570ee, 0x11397597, 0x02b33a07, 0x08d0b3e0, 0x63e31a3e,
+    0x3d81585d, 0xc779e758, 0xfcb52450, 0x340e1c51, 0xecc3dbb5, 0x1e7d5249, 0x68d9c91d, 0x7e19530c,
+    0xfd6571fb, 0x268565b6, 0x676241e6, 0xf8369248, 0x0884590a, 0x661ad2ab, 0x76b757a0, 0x9a2eaa64,
+    0x82c701fa, 0xdf8e4f94, 0x08d5bdfc, 0xe2d1429f, 0x81a8af34, 0x86d24061, 0x330fc91e, 0x6fdc4be9,
+    0x03c7bef1, 0xcac0414f, 0x2a406671, 0xac5fe79b, 0x6ccf5a7f, 0x51514f72, 0xbba06d3e, 0xab6df9ab,
+    0x22b4b7b1, 0x9cf483f6, 0x36ca50e4, 0xc6891957, 0x2d1675c7, 0x33e42b4d, 0xc294bd25, 0x059f9645,
+    0x481a0e4f, 0xc21de507, 0x3e93495e, 0x75d9a7b2, 0x688e9e49, 0xc531ef75, 0x9fccb7a9, 0xedb68b79,
+    0xad6a6cb2, 0x1fc94425, 0x32fbef6c, 0xecbf5b7c, 0x716d244a, 0xa1d650ec, 0x8d02593b, 0x785590da,
+    0x611f7d4b, 0x2ff3c691, 0x6f6ba47f, 0x059b3f6b, 0x3e907743, 0x46e12ac8, 0xd05bce5c, 0x9e71b4db,
+    0x457335ab, 0x10947e57, 0x34efd36e, 0x1392c738, 0xf2c9a122, 0x245e372f, 0x245bedae, 0x6b48aeb3,
+    0xe3dff847, 0xd690f4e7, 0x35212ced, 0xeb25e22d, 0xbd007b0a, 0xf0b065cd, 0x305f0449, 0x2f0a1df5,
+    0x9652dca2, 0x396712b0, 0x7d9c2def, 0x88a6f977, 0xc91be595, 0xd175d58e, 0x259dc0d5, 0x24547357,
+    0x340bfd13, 0x0223afb2, 0x8c93033b, 0x1bb8259f, 0xaafcfcf0, 0xa4517d75, 0xf7f81cf4, 0xe29c0c90,
+    0x06dafd62, 0x518821ab, 0x4343c130, 0x6b7e6318, 0x298bf3d9, 0x6e439a69, 0x044ce5e8, 0x438a9ee9,
+    0xf3c4c983, 0xfb218900, 0xa6adb504, 0xc433ce6f, 0x44ae1aa7, 0x5467c954, 0x98476e6d, 0x8dbc8a41,
+    0xffbdc541, 0xbe4dd061, 0xc54f4e14, 0x83de4660, 0xb05abb33, 0x6900b879, 0x2c4755cb, 0x10f6f4e8,
+    0xf3e12e58, 0xc64235b7, 0x9c1fe047, 0x2445dd1b, 0x235773e6, 0x23b2cff9, 0x3af7905d, 0x47a932eb,
+    0x3a3c0625, 0x5235758b, 0xd03ff909, 0xf1c59d93, 0xc381d2ed, 0xd0e8b548, 0x469fa1e5, 0x1033a785,
+    0xc1763e2a, 0xcaf15c60, 0x890752d7, 0x937693a6, 0x8552f4d3, 0x0016679c, 0x96cc2f80, 0x096da44e,
+    0x84b254cb, 0xd113cbac, 0x25531867, 0x92342957, 0x437d4a7e, 0x7a512ead, 0x830ab663, 0x1e97f9e7,
+    0xb2f393a2, 0x7b02287f, 0x3894cded, 0x1c41649e, 0xa0f0a571, 0xfb81d3e0, 0xcc825d8e, 0x17d55b6f,
+    0xba8928ed, 0x70c1e635, 0x7d7e31fc, 0xc4e3fb91, 0xa01604ed, 0x65d2e1fa, 0x56418814, 0xcbbf3d1b,
+    0x2dcb358f, 0xcf99b9d8, 0x45e051c7, 0x63301dae, 0x2740ff88, 0x8118c413, 0x8a04a585, 0x2d525610,
+    0xd11347ee, 0xd2c14820, 0xfbfd4b19, 0xa5ede201, 0x1507e3e6, 0x4f7e4758, 0x032437fa, 0x72a58b3c,
+    0x4fa30d4f, 0x5c2d3781, 0x8213ff3c, 0x059adc72, 0x8fe57625, 0xf596b10f, 0xa2d57009, 0xffa0421c,
+    0x44bfcc53, 0x46dc61ec, 0x289e3be6, 0x38741268, 0x41c7a0d7, 0xd0f87a2d, 0xdab0d5a0, 0x1e5e8c66,
+    0x42e950e6, 0x26ae6a0c, 0x3225ff5d, 0x3fba3e63, 0x2494b2bf, 0x08be590b, 0x8c862ef5, 0xc18230d7,
+    0x1d1e5168, 0x6091960d, 0xd1c6a3f6, 0xf0d4b4af, 0x00b73329, 0x4104d44e, 0xdf0b2a4f, 0x59a42143,
+    0x164bc9e3, 0xc65f579c, 0xa2e797be, 0x01fdb140, 0xa141d2bb, 0xfd786471, 0xe94b037d, 0xded33958,
+    0x776b62f5, 0x28ab8d55, 0x59c11954, 0xfc0f27b7, 0xcb3ba170, 0xc554bc1f, 0x1f5de04d, 0x4825be86,
+    0xe5545fe8, 0x1685216b, 0x998af3a7, 0x18f6b08f, 0xa14c51c9, 0xa0f2f6ae, 0xbf680a42, 0xdcea8b7d,
+    0x0fef1f9e, 0xf39e2aea, 0x1a46668a, 0x0ad8b4c9, 0x639e9203, 0x4791d088, 0xa6bfdf6e, 0x93d50233,
+    0x9bea89b0, 0x1b7a36d9, 0x100daff0, 0x3c0df19e, 0x4a43004c, 0xa6eae4a0, 0x20143b80, 0x29d3a15e,
+    0x452fb7d8, 0x623cfdb4, 0xa8f005bd, 0xb688d951, 0x650d32be, 0x28a62c5e, 0xc389d781, 0x15423d06,
+    0x080aa317, 0xd2fcc45e, 0x1fda49f2, 0xea1d54ff, 0x5c1c6a37, 0x13ed5be2, 0x6db8c809, 0xbaabf1e8,
+    0x0b45e56e, 0x8a82a92f, 0xfe418b12, 0x8c559c92, 0xbb1eda53, 0xc89a1f20, 0x6e3388fa, 0x5fc06c0b,
+    0x129e1bab, 0x0c2a079a, 0xf0b7c34e, 0x17a5b2c9, 0xc0df8c3b, 0x05fc29e3, 0x268c4e2f, 0x6692b175,
+    0x25f67300, 0x9f271f51, 0xdced21aa, 0xc53b4a01, 0xedb12ecd, 0xac08fd02, 0xc5ad997d, 0x9f890ebb,
+    0x587352eb, 0xe4c5961d, 0x3eaf23f3, 0x5adfe17e, 0xd007c189, 0x69a82a34, 0xda321523, 0x56e0c8f0,
+    0x3bf0ab69, 0xa233eb68, 0x8c79231c, 0x8e17218e, 0x35cf2714, 0x67c12782, 0xff3602c9, 0x7bf7c3b1,
+    0x5d4be6af, 0x58807e33, 0x7192bed1, 0xd8a126d5, 0x4fffbbd3, 0x288ef7da, 0x3172ef42, 0xe5ff3cf8,
+    0xe8b3a095, 0xbf080956, 0xca5bbc53, 0x4acd35ff, 0xf1b4bce4, 0xde71ff11, 0x497a6be6, 0x4f06ede5,
+    0x3419241d, 0x5d3a0d9e, 0xbf9b89a3, 0x8908df86, 0x2ffaed3e, 0x56af3690, 0xabfa25af, 0xdcdf5935,
+    0xaefd0cea, 0x5b945572, 0x64deba81, 0x12467dc1, 0x3e428dd7, 0xbff81433, 0xfb4f430c, 0x78c38635,
+    0x9305ea02, 0xa8d77a18, 0x4c34d8be, 0x50e04424, 0xc561ac59, 0x63589d15, 0x73838653, 0xc8e1563d,
+    0x2e10d7d5, 0xf7a223bf, 0x7dc0b50f, 0x1d5805cb, 0xb940929a, 0x8a9b19ab, 0x2a15bbb8, 0x2d3b068d,
+    0xd43c7df4, 0x76753b8d, 0xa27e2fc6, 0xed291a9c, 0xf1201344, 0x0dd49c8c, 0x726a63b5, 0xc5dfbc80,
+    0x283aea69, 0x084b483d, 0xca292b1d, 0xba497e36, 0x8f849562, 0x0ffe8b25, 0x6bb3fcba, 0xe3cedb86,
+    0x074eba6d, 0x5b9d3da8, 0xe6b0b61f, 0x7f7ea612, 0x28cf7bb4, 0x7fbc4838, 0xc4ae957b, 0x88074a63,
+    0xe5e41210, 0xbfe151ca, 0xddd0c809, 0x793fb7a5, 0xa7efae21, 0x774698eb, 0x837f8a6b, 0xce288671,
+    0x1a77f246, 0xcaf1b99b, 0x1a655958, 0xd354a6f5, 0xd4f34dcb, 0xf52f4095, 0xa97e25ed, 0x583097a4,
+    0x8efa3107, 0x24d7273a, 0x1850ec84, 0x72d4e2d0, 0x4ebfe11f, 0x7b66b16d, 0x37e9cef4, 0xdc467a1c,
+    0x0af66cfa, 0x387e49a9, 0x982a4dea, 0xf0fc9b69, 0xa738ade2, 0xee17bf71, 0xb9f0b8e8, 0x882316fa,
+    0x25f6abf8, 0x05c16db4, 0x9e298dc3, 0xf86788bb, 0xa6570340, 0x08486e38, 0x27624f5e, 0x92b6203c,
+    0x394f19ff, 0xc09fed57, 0x99c1ce5d, 0x44c1bdd2, 0x71029b33, 0xe10e0c38, 0x18636a52, 0xae59ecc5,
+    0x10362feb, 0xb85669f8, 0x4bfa9564, 0x1169adfb, 0xe26bb7d9, 0xdff0fa5c, 0xf37d8edd, 0x8361475d,
+    0x8c5331e1, 0x2b0f7a20, 0xa2e2375d, 0x63f46a87, 0xfea43582, 0x84a52547, 0x52aa8f77, 0x4fa946eb,
+    0xd59fe90c, 0xd6ccb0b3, 0x90f5fe3a, 0x82cd60c7, 0x13c4e65d, 0x135419d7, 0x57650de1, 0xe87b9d3e,
+    0xd208563d, 0x04a45ab7, 0x82109bab, 0xeb5fba99, 0x968a18dd, 0xc2cf49d1, 0xa8d54752, 0x97e33f65,
+    0x4998f9dc, 0x6ac01580, 0xcfd347b7, 0xf7ce0c3d, 0x19236d69, 0x6987d0e3, 0x3990fd45, 0x417a5502,
+    0x75d48bd7, 0xdfbef4d8, 0xa65b658e, 0xc1f8c85a, 0xda89fb18, 0x01d56a2e, 0xaafa50c2, 0xe05728c1,
+    0xf84cae60, 0xa2e62604, 0x39173687, 0xdcc30a0f, 0xa85c02f7, 0x9706e2de, 0xc8eb485a, 0xe01f1f97,
+    0x4db722b2, 0x6aa2ded6, 0x4e7bbdaf, 0xdab4a94a, 0x3c1c3efa, 0x8ec0f3ca, 0x589c43c1, 0xf8c8af0f,
+    0x6addcf97, 0xf900a154, 0x48c3fdd2, 0x78d9a077, 0x118c0eba, 0x452bbd00, 0x70ac0f01, 0xce426802,
+    0x4c60d3e4, 0xcaa3e42d, 0x72560833, 0xdf8782d5, 0xf3a28389, 0x6ca79819, 0x0682ce2c, 0x5b6863d1,
+    0xeabb495e, 0x555d0373, 0x4d8f5357, 0x7efed4bb, 0x2b054299, 0x197f941a, 0x667a7478, 0xc80fcedb,
+    0xbf0c6209, 0xf973a389, 0x35043d46, 0x676c3350, 0x6e39246c, 0x99300b0c, 0x514c9cd7, 0xe4c0f5ca,
+    0xaff59013, 0x33e54715, 0x4a7d12c4, 0x1fb2d870, 0x565fbe3c, 0x2909c017, 0x49fd6812, 0x33a3d572,
+    0xd13723b4, 0xc70f1a27, 0x6be1b460, 0xe874f956, 0x70057e8d, 0x29e15842, 0x30ed9e1e, 0x27ada380,
+    0xe8fd849e, 0x2fe8676d, 0xdac44140, 0x7026a937, 0x098e29b9, 0xaf0b3f77, 0x6ff9ab5d, 0x266767cb,
+    0x5239a08b, 0x0f164267, 0x54df040d, 0x58f1955f, 0x9e50af10, 0x1b393287, 0x1dfd3b58, 0x6133e8ab,
+    0x0000ff03, 0x88b81368, 0x2af5c179, 0x6612413a, 0xec28e0b9, 0x4b58fe33, 0x6d44bd4a, 0xbbdcfc37,
+    0xe9919550, 0xad79ce0a, 0x62e2fd62, 0x8226e042, 0xdea54cce, 0xcca92fd0, 0x2a9fcb19, 0xfede9b3b,
+    0x39b95195, 0x1bfbf382, 0xba699c7c, 0xda3f00af, 0xc700247b, 0x0a5bb175, 0x734fce48, 0x479d1e25,
+    0xdce49f78, 0xed37f9a0, 0x266786c4, 0x267f6738, 0x96ece66f, 0xbff273f0, 0x98bd923e, 0xb12acef6,
+    0x534d39c3, 0xc6396ebf, 0x33503f56, 0xe644530c, 0x75349fda, 0x2bc4df97, 0x0023b3ed, 0xdd6051d1,
+    0x00000000,
+    0xee480564, 0x0bd61435, 0xbeab63ad, 0x1f3a3e24, 0x0fde9dd5, 0x859d0665, 0xac8082e7, 0xad4e91b6,
+    0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000027726696941208148595784141841430837034364370753758165\
+                         75170479580614621307805625623039974406104139578097391210961403571828974157824 */
+  { 0x00000000,
+    0x34b117c8, 0x57a70a1b, 0x725f4759, 0xd1f113e6, 0xd79b0ad0, 0x8545a1bd, 0x051346dd, 0x68e73dbf,
+    0x99d74229, 0xbab17416, 0x303ee37f, 0xfac33fea, 0xe2e1a808, 0xe96b4729, 0x655b8383, 0x652852ce,
+    0x643fdaf0, 0xb7185b98, 0xfa8dcef2, 0x3142ac0a, 0xa7c27cbb, 0x6dd7b69e, 0xf6a21712, 0xe518677b,
+    0x9abfee66, 0x7452026b, 0x6be4ccfe, 0xcea8dbef, 0xd21d9e07, 0x4b9bcfae, 0xc65097b4, 0x04746160,
+    0xf538e6ac, 0xbae533d6, 0x67c24d75, 0xd3268386, 0x4a5d014e, 0x8744ec17, 0x9b8c84af, 0x178b0010,
+    0x954418ae, 0xa1826370, 0x2a34e116, 0x955eace7, 0xf1d53127, 0x4c2cc308, 0xea352518, 0xaf68ea6f,
+    0x7090858f, 0x06015306, 0xe88f9b80, 0xc805fa5c, 0x5063cf63, 0x857fea70, 0x9fcaa33b, 0xa2e47aa0,
+    0xb83d82ef, 0xfe4ffc3f, 0x112cdd52, 0xbe060cce, 0xb6f96161, 0xfc1bfbd1, 0xa18aea89, 0x78f99086,
+    0x409b221b, 0x2f6d6934, 0x398e7416, 0x40d47bbd, 0xc392d90c, 0xcf7c732a, 0x79df51e5, 0x6705fb12,
+    0xb53feec9, 0x9293df9a, 0xb36796d5, 0x28fc14cf, 0x298b8db1, 0x0e9f5a9a, 0x4184fe17, 0x3f461126,
+    0x06103b89, 0x8555a118, 0x4cd9ffc6, 0xb69b863b, 0xe2a9c936, 0xda825700, 0x26354ba9, 0xa41ebdda,
+    0x567b719a, 0x18376f27, 0x8d293416, 0x7a48dec1, 0x123a11c3, 0x2f5dcc56, 0xf4d2337a, 0xf2431db3,
+    0x0072dd40, 0x70fbf207, 0xca944a93, 0x163d6745, 0x03266cab, 0x5980a34e, 0x624dc31a, 0x90252c92,
+    0xc561c315, 0x134f62f7, 0xdcf26324, 0xce3153f4, 0x5709c343, 0x6bf100e2, 0xe3b510d3, 0x31dfb04c,
+    0xfbe2c79e, 0xc21877f2, 0x7998ef14, 0x75907779, 0x3ced7014, 0xc857767d, 0x3b45fb9f, 0x0484ea73,
+    0xbe3f5367, 0xbdfb8869, 0x3e0cbdf6, 0x6a9047a9, 0x62caa8d4, 0x94242b26, 0x1dac651e, 0xf385b1d8,
+    0x3ee82f50, 0x05d03add, 0xfd355b68, 0x13c22b74, 0xec73e48b, 0x1585b5c8, 0x854a432d, 0x761aa281,
+    0xb635d5b2, 0xe3083222, 0x81666217, 0xf0248772, 0xdd1445ab, 0x9c2e6003, 0x1646009a, 0x1aac7c93,
+    0xf5c8ab26, 0x84af920e, 0x75a67265, 0x98e9be37, 0x480b2955, 0xd3847998, 0x180ba0f6, 0x7f5d595f,
+    0x63ebf44c, 0x1c3beb9f, 0x75380e67, 0x9fccabdb, 0xf0e9b6ea, 0x87122381, 0xd2e34417, 0xa8c70817,
+    0x9503f247, 0xd31da7f0, 0x6098c0d2, 0x2d133eb9, 0x515599be, 0xd9901391, 0x79ee6cc0, 0x92a301e1,
+    0x352ccd8e, 0xaf178c9b, 0xafe89986, 0x852bca37, 0xdbac4a3a, 0x3906cbb7, 0xd512d0ee, 0xbb1f9cf5,
+    0x325da0f9, 0xf087634b, 0x97c19fff, 0x37210c00, 0x6e312377, 0xbd41c9ae, 0xf8ef1cf4, 0x3e0b6fcd,
+    0x688b4b4e, 0xe4446236, 0x86a04525, 0x1ed372dc, 0xefe768c8, 0xaa53753a, 0xc18b6b14, 0x7cad531b,
+    0x13d8317a, 0xdd39e269, 0xfd806a22, 0x291df2f5, 0xbd2ac0a4, 0x948ba770, 0x07c70b97, 0xca585d85,
+    0x13a7594d, 0xee680625, 0xc9f88093, 0xd494f24d, 0x3471b9bc, 0x52970a2c, 0xfa0940ec, 0x301d718b,
+    0xe310c8b3, 0x5745918b, 0x85accb8c, 0xc848ebe9, 0xf6f036c9, 0x7284ca66, 0x3f6cc1e5, 0x921f47d7,
+    0x5586d870, 0xe07ff5ee, 0x55973b5f, 0x394dc270, 0x89f4b914, 0x7dfab49d, 0x78f0ba33, 0xf74c1617,
+    0xaac48f5c, 0xfd4224fb, 0xe00b6e6c, 0xc93e15de, 0x8650b075, 0xdc53aa33, 0xf27a0c52, 0x1bcd113c,
+    0x765d649b, 0x0da81734, 0xc9594748, 0x3d4c31e5, 0x21e112df, 0x044b7e6c, 0x135433b4, 0x0a3df13e,
+    0x5d6d5a07, 0xf281fa79, 0x830a714b, 0xf3718cdf, 0xb8cb8824, 0x8b26e1ec, 0x54392edf, 0x64c0b707,
+    0x64b682eb, 0x7551c3bc, 0xefa05a07, 0xb6ff79d7, 0x7ca4f299, 0x17d80e67, 0xe2d4f9d1, 0xacb2cf3b,
+    0xa7f96ac7, 0x66ecf7d5, 0x81fdb872, 0xdfcc7266, 0x4fe52742, 0xbe1bbf10, 0xd63f1fe3, 0xad08e4f6,
+    0xdcacca4d, 0xc1a7e5cb, 0xcdeb91a8, 0x56eb8b15, 0x8437c881, 0x2495841f, 0xade70d62, 0xbe0ffab2,
+    0x19499fe5, 0x90ce7da7, 0x8b0875f2, 0xbefbd460, 0x76f44132, 0x7094981a, 0x2f131d54, 0x2cfb5ea8,
+    0x7a0e05cd, 0xa77b5046, 0xaba84278, 0x7b68eeba, 0xda8db84b, 0x9f9fc143, 0xb4d4e5f4, 0x79ff46e4,
+    0x886c390c, 0xbc8d260d, 0x34b080e5, 0x0afbeeea, 0x6e030e2b, 0xe2cb3ee9, 0x5097f74a, 0x93bcaa0d,
+    0x09572ad2, 0x0485bca4, 0x245e61c8, 0xe51c737f, 0x04771f19, 0x43c07a0a, 0xcf7f331f, 0x5d151e96,
+    0x90149991, 0xedc6e763, 0x7eb27b14, 0x84d5bcff, 0x8c69a24b, 0xd8177342, 0xe87346e8, 0xf76e0d86,
+    0x504f3523, 0x12f2fa40, 0xa6d5485a, 0x4b4c3281, 0x68d0c962, 0x5f7a0999, 0xc9596f11, 0x9e8b3716,
+    0x9f4346d6, 0x7c6156fc, 0x1527a1a1, 0xb0245c1f, 0x02806915, 0x160ebc4a, 0x4ba186e5, 0x290444e0,
+    0x789d653f, 0x35f7df1a, 0x16d06f87, 0xb628a6b7, 0x7f61deaf, 0xda86d5d7, 0x97528aa9, 0x6aa611c0,
+    0xb6e15be9, 0xcd0c6a45, 0x46166780, 0x58701db4, 0x026d215b, 0xd193d111, 0x9353f743, 0xbb8d2a24,
+    0x6893ed70, 0x92e16dcc, 0xdabd903c, 0x1588cccc, 0x00f7718c, 0xd24687fd, 0xd7e8c174, 0x6f422288,
+    0xdfbcfa4e, 0x7ff2f1b8, 0xe1601b40, 0xae7124cf, 0x90c6dcad, 0x82988e7f, 0xe60b7618, 0x0346eb59,
+    0x4158c72e, 0x30194bdd, 0x997d984c, 0x86864f28, 0x4cf48b09, 0x27dfcd1d, 0x7e02d397, 0x6cb488be,
+    0x1d6833c5, 0x86ac6111, 0x676db5c5, 0x41eef6ab, 0x181c5749, 0x95671720, 0xf8deb9f8, 0x5f09c596,
+    0xc2e8426a, 0xa11a17cd, 0xa85d384f, 0x671148ca, 0x8dfdfbd9, 0x511e8a33, 0x2898d2b9, 0x98c00270,
+    0x2d7ebdcf, 0xc2931816, 0xc6d3d6bf, 0x58f704bb, 0xb5bcab6d, 0x76509c55, 0x338dd562, 0x011efada,
+    0x68d5c8e4, 0x17ef24d7, 0x1e3d00d0, 0x632bd1eb, 0x50079e17, 0x5f32d45b, 0xf2e67ab7, 0x87c5fcce,
+    0xc44fe369, 0xdee38ba7, 0x2bf9fdcf, 0xb99b3bc5, 0x003d742c, 0x6dd49831, 0x4e983980, 0x787ff734,
+    0xa37093a6, 0x024bf5e7, 0x194b87f6, 0x0efc7744, 0xe1ebd15b, 0x49806857, 0x90adb845, 0x2441368e,
+    0xd10056b7, 0x9c50e776, 0x13f8e92e, 0xe056f350, 0xcd9dad99, 0x6a56835d, 0xb699f584, 0xa32b6776,
+    0xc0ae5bd8, 0xde342072, 0x0baeb137, 0x6a8022ed, 0xfe22d4ca, 0xe0b24d9a, 0xb62de403, 0xb0d6cbc7,
+    0x3b41589f, 0x684aced9, 0xcca63fad, 0x72391ada, 0x75c30045, 0x405eb129, 0x257d0e91, 0x27dc6b93,
+    0xc0c87244, 0x360601c4, 0x704f395f, 0x98638351, 0x3c23761f, 0x094a1ba9, 0x781d2f84, 0x49684460,
+    0x2c8d0b1e, 0x1701c979, 0xc4a27640, 0x34564af3, 0x4e41f836, 0x8a8d4991, 0x4c2795bd, 0x4147ebdd,
+    0x178f40e6, 0x0e469a2d, 0x4febbb39, 0x5684fc25, 0x826006be, 0xfb3c1a29, 0xcd042355, 0xf6a332d0,
+    0xce00e1e2, 0x059a4c09, 0xb7720056, 0xf379a49d, 0x2e82dea1, 0xf56bff36, 0x6787c1ff, 0x1bd00d68,
+    0xe2994caa, 0x9fadcaca, 0x62a82e51, 0x04f685f0, 0x271fc2e2, 0x30ed6a4d, 0x6602c15a, 0x8116d8a7,
+    0x50626089, 0xd99becce, 0x467d3f40, 0x2ef89c2f, 0x044e0319, 0x734a65ab, 0x0b2d1e4c, 0x7ad1b398,
+    0xe88c6eb5, 0x1705159a, 0x06bd6570, 0x884dcf4d, 0xeb7b3c97, 0xbbd9f8cc, 0x13c86261, 0xfcfdc439,
+    0x332bbac6, 0x764359d2, 0xef5d6b99, 0xc0afa34c, 0xd67d16a4, 0xfba1eadc, 0x861637d6, 0x648e495c,
+    0xfd0f4743, 0xd96d3d0b, 0xfe1af0bc, 0xc0cd8889, 0x9388042b, 0xc8bab15a, 0x0830ee0d, 0x4c28e040,
+    0x9e13c7a2, 0x975a4d0b, 0x95020292, 0x87e6dff7, 0xaa5c8da1, 0xdc83dc89, 0x5c4b190c, 0x0fb58d65,
+    0xbcdc9aae, 0x765c640b, 0xc29eaaa3, 0x849b6809, 0x7bb86942, 0x4df81560, 0x446372a8, 0x96b965b9,
+    0xe4bd6dde, 0x1163b17b, 0x3dbc3f4d, 0x9342bafe, 0x32901e30, 0xbc08f5bf, 0xc75cb4f0, 0xd26b9903,
+    0xb09da590, 0x2e78cba9, 0x3c4beb78, 0x5de5b95d, 0xdf07020a, 0xe0480ee6, 0xeb65e956, 0xfe701e93,
+    0xb9cd95a2, 0xe1233c49, 0x491ded95, 0xe70c1ab5, 0x3541196f, 0x95effabf, 0xaf4cb319, 0xe62b7497,
+    0xc302e651, 0x143edfb7, 0x20661e72, 0xb2e44f1f, 0x57942653, 0x1680b5b7, 0xd2f2fbc8, 0x68cf7f66,
+    0xdb12ff3a, 0xa3294783, 0x36a37f60, 0x4d83d68f, 0x06b1c506, 0x1f9366e9, 0xc4ec6cce, 0x3a8691ce,
+    0x9dc8bd9a, 0x137e2e63, 0x97f0276f, 0x4419a8fb, 0x0425371f, 0xcd6ec82c, 0xba96a28b, 0xf7c6bf82,
+    0x59fcca9b, 0x63677cbf, 0x1e18ca9d, 0xdb861185, 0x3e3d6082, 0x428da8b1, 0xd220fb65, 0xfbf99547,
+    0xcd267e5c, 0x6297ea89, 0x561731c2, 0x179fd86a, 0xba969226, 0x3fb21349, 0x8830c906, 0x82c6cba6,
+    0x06e6f447, 0x2235274e, 0x50baf1fc, 0x1fa67349, 0x25f50a54, 0xf4921d1a, 0x27a1e80c, 0xa752e054,
+    0x14fccd3e, 0x96cf7a4c, 0x23627e99, 0x4a7aecdf, 0xe9ae202c, 0xa0a97da3, 0xfbc4424e, 0x97a2164a,
+    0x1f3fb92a, 0xde694100, 0xff0285fe, 0x1e28e58d, 0xbb6706d8, 0x165b5e03, 0xb2061f41, 0x4b84c667,
+    0x432bb69a, 0x47f78c02, 0x0379a9df, 0x63cbd629, 0xc6b8dd15, 0xa1785b90, 0x2f059a74, 0x9ba37b5f,
+    0x93b5616d, 0xaf4c5a32, 0x77d073db, 0x6caa7095, 0x974e6a00, 0xd9cb0566, 0x121be1b2, 0x39d3be83,
+    0x279227c3, 0xfacb71a8, 0xb2e0fee6, 0x957d0e25, 0x6c189412, 0xe4610415, 0x54be2ca6, 0xd0cfe2a0,
+    0x5c9071f1, 0x1b17cddb, 0x57e99e32, 0x97efe9ce, 0x69fe0851, 0x36084287, 0x863e4211, 0x48e2ba36,
+    0xecd7379c, 0x1106f67d, 0x41fdfc0d, 0xb3bb5bb7, 0x1e5b3053, 0x29fcdcff, 0xf21f37e3, 0x52e19e47,
+    0x211b214d, 0x32a16257, 0xfdeae555, 0x6a91b2d5, 0xa200adfc, 0xa667ade9, 0xaae38264, 0x1750a4e8,
+    0x1727ff34, 0xa1b996d2, 0x48a2f899, 0xf2206137, 0xc369f3a6, 0x04741f8a, 0xb50b925b, 0x208aa9a9,
+    0xdd975062, 0xd7cacab4, 0x3646dbc5, 0xb75c9ffc, 0xd17262a9, 0xb00d63db, 0x6258b921, 0xa850b446,
+    0x97ec1cba, 0x6e097791, 0x02f70de7, 0xe898def9, 0x32a038ef, 0x70821abd, 0xc9ffe033, 0x78e2f7ee,
+    0x91ab1d18, 0xc77181bc, 0xcc5a984d, 0x9c449cc3, 0x9d9d74ed, 0x5bd1fdb2, 0x50fd94aa, 0x4880b48c,
+    0x056c70f1, 0x74cb59ea, 0x8bcea11e, 0xa19ef969, 0x0a09e73e, 0xc1400bc5, 0x2bbbc32f, 0xa716ebb5,
+    0x0fac410e, 0xc47430c5, 0xac40834f, 0xbe68e8ac, 0xd577a9c3, 0x2bb1d72b, 0x5d9cffbe, 0x1e3260d4,
+    0x68534040, 0xa0a6dc6b, 0x5c9d4515, 0x3fdd289c, 0x4511da3e, 0x8bd9268e, 0x4ef4c0a7, 0xbd047c4d,
+    0x47681342, 0x269562a0, 0x8678fadf, 0x20c121a2, 0xa99b1cca, 0xd6e92ad9, 0xfd627707, 0xbdaf1935,
+    0xb1c35ef2, 0xd05e62f5, 0x7db51211, 0xc0b3eddb, 0x4ee7d207, 0x21242b6e, 0x0289eeaa, 0xd61c9dc3,
+    0x51073873, 0xe5ffab7d, 0xd23566e8, 0x216dfc86, 0xb8e72eb1, 0xa8d8e642, 0x02d72c91, 0x1c20d866,
+    0x276ec1b4, 0x553595d5, 0xf6d7d386, 0x7642f256, 0x3ef21187, 0x7b467d2b, 0x68d697c7, 0x19eb1862,
+    0xe8de4e2f, 0x3b64ffd8, 0x2547590a, 0xb6039550, 0x8f41f3e8, 0x70505df2, 0xc12c3d87, 0xe1b4558a,
+    0xadb122a4, 0x5f28f6cb, 0xe0d5a42b, 0x2b1b9057, 0xa1ae8887, 0x3cd501ad, 0x2836d6b1, 0xba42cb85,
+    0x12c47c87, 0x5c62996a, 0x7b126f1d, 0xfdb8fa26, 0xa0303066, 0xa06a90eb, 0x0f59a2fc, 0x756302a7,
+    0x04676d04, 0xdca525b1, 0x1a564086, 0xf946705d, 0x0d82f7ef, 0x6c23ae9a, 0xb37eaa99, 0x0692fb12,
+    0x40e8b2d9, 0x31e2a7e3, 0x7084fc98, 0x43d6aa53, 0x13a9bc0a, 0x8c581da7, 0x48b175a1, 0xd7d48b63,
+    0x28f9ad7e, 0xde043946, 0xd9402d88, 0x362dd36b, 0x012f3909, 0x9b3cce43, 0x2657088f, 0x257a1662,
+    0x3a45dc6a, 0x22d4ba13, 0xdb8680ad, 0xc178b506, 0x814aadc5, 0xb53b1d6f, 0xf0b141d0, 0x935bb076,
+    0xb017a527, 0x3a4d1732, 0x669d12ac, 0x8be92a23, 0x459a54c9, 0x087b566b, 0x5f07bda1, 0x630a93fa,
+    0x9bd42cb2, 0x35f3c3a4, 0x0a795535, 0xcbadb458, 0x1e31a297, 0x524d2f61, 0xae5ecbe6, 0x15340386,
+    0x782aab15, 0xca32fe7c, 0x101ad02f, 0x3437d054, 0x434f860d, 0x02890e5f, 0xce4b56be, 0x8d5678a7,
+    0x4d41b8d8, 0x006538a8, 0x91855a93, 0x4256bd27, 0x5457ccd0, 0x54bad9fd, 0xfdf4279c, 0x5aed991f,
+    0x3ffef599, 0x906f4a33, 0xa59f3594, 0x98cb2e62, 0x96dc6052, 0xa326c4ae, 0x619f161c, 0xc691dc53,
+    0x73115081, 0x8977f1d4, 0xe7dc0395, 0xdf1505b3, 0xff45535e, 0x3f7aab7b, 0x39871126, 0xf9bc1c85,
+    0x507fc3a1, 0x0956e5d2, 0xcf882c9f, 0xeae560cf, 0x24648fdc, 0x6e10d75e, 0x7e2938b3, 0x52b7fe22,
+    0x3e7d6918, 0x889413f4, 0xf6cac3dd, 0x181f09d2, 0x5e0c9454, 0xd36aaa07, 0x57ca9ea5, 0xd3493cef,
+    0xc0403b47, 0x9d775dbc, 0x10625354, 0xa2e2ee5e, 0xc7015e38, 0x2aa98b2b, 0x6a59a54a, 0x7f30cd90,
+    0x58cc8a8b, 0xe94781e4, 0xe4da1569, 0x2fd10f5b, 0xcb938995, 0x94f11bed, 0x73ab7f4a, 0xf0afa2b4,
+    0xe046fe35, 0xd8c6c4b0, 0xbcd2df2a, 0xdc865dea, 0x708e1b0d, 0x6bf1bfda, 0x7d179a92, 0x195d0e59,
+    0x8fe0da33, 0x02303c53, 0x9f20ed7a, 0x0362fa2a, 0xd7af35db, 0xd679c6b1, 0x09be98e2, 0x5f381497,
+    0xc7b10655, 0x371a01c1, 0x1fbf84c1, 0x0d40a22a, 0xf16a727e, 0xb4302d31, 0x0405fcc9, 0xce1ea76b,
+    0xf2e9329c, 0x7be4f6ff, 0x21991ff1, 0x43dc9dd7, 0x59699d8c, 0xf1f53686, 0x2be521f8, 0xb06e9039,
+    0x4a31c5aa, 0x38e0348d, 0x463c99c1, 0xe1a302b6, 0x28e57b3a, 0xa156910c, 0xdada9d98, 0x77557fca,
+    0x4272d16f, 0x006e5a27, 0x1f7ed1a7, 0x57d989cc, 0x8d92840b, 0xee10fbb2, 0x621abe4f, 0x369ab525,
+    0x468287b7, 0x7bcf3110, 0xf5acc2d3, 0x5f5e3824, 0xeb77cd34, 0x08ba5ff9, 0xe6a8d051, 0x51e4e1ca,
+    0x036190db, 0x27b2ac57, 0xd34fc24a, 0xbf9ce9de, 0x3f3b883b, 0x9baed451, 0x5cb259ca, 0x3eb26bcb,
+    0xad04d0ff, 0x033dfbf3, 0xb14a1558, 0x1de3935b, 0x7d9f6e55, 0x3bf2c257, 0x22f7604d, 0x6ff7ab6b,
+    0x41394988, 0x203fbaa7, 0xa0eba6bb, 0xaf064751, 0xd41a6c42, 0xd74b0ead, 0xeaa0d207, 0x13fca763,
+    0xf4638fca, 0xa79978b1, 0x497f61dd, 0x8f370b0c, 0x19d25e42, 0x12bec5f5, 0x193a102c, 0xd12c2697,
+    0x6678934e, 0xc745fb3f, 0x39361445, 0x2640091e, 0xf302334a, 0xd8e3c887, 0xa2ce08a3, 0x02929173,
+    0xd73edeac, 0x62972855, 0xc4ca2ed6, 0xefefebac, 0x900cfa4d, 0x45992dfe, 0x7fe4aeee, 0x2e62e4de,
+    0x236b69fa, 0x03400e6c, 0x7debf21d, 0xa45f9d73, 0x71aa72a1, 0x6473af00, 0x1917c60e, 0xd4487a01,
+    0x11a1c8d8, 0x76bd76e3, 0x5bad2ed9, 0xf7683dfd, 0x1dbe68c1, 0x92a507d2, 0xde669821, 0xee0f3a92,
+    0x00000000,
+    0xf72402b1, 0x85eb0a1a, 0x5f55b1d6, 0x8f9d1f12, 0x87ef4eea, 0xc2ce8332, 0x56404173, 0xd6a748db,
+    0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000013863348470604074297892070920715418517182185376879082\
+                         87585239790307310653902812811519987203052069789048695605480701785914487078912 */
+  { 0x00000000,
+    0xabff3149, 0xdab82889, 0x43fe8f99, 0x0175396a, 0x3814f260, 0x4a60575c, 0x410e0efe, 0x86540f4b,
+    0x2be06744, 0x62633267, 0x75a104bb, 0x6f0657c2, 0xd1956520, 0xc1522fde, 0xf14a2681, 0x61f28f20,
+    0xfe8220b8, 0x689852ec, 0xe2776ea4, 0x7c2455d2, 0x2f54d0a9, 0xdd9fb2f9, 0x5df92904, 0x0256c799,
+    0xf4ecb372, 0xd0cc8835, 0xe5abecb9, 0x48d17830, 0x0e89c6a3, 0xbda8dc53, 0xf0336430, 0xfdd43eec,
+    0xb341c7ef, 0xa9a28d95, 0x95dc83c2, 0x1ae8af24, 0x81b477d1, 0x0eb8e02d, 0x1bb1decb, 0x7e8b076e,
+    0xd72d94b8, 0x9d40e258, 0xe17fa1ab, 0x5deeda24, 0xb9acf996, 0x62a48488, 0x651893e7, 0xc9f3a067,
+    0xb1b4679c, 0x0458f959, 0xbfe6974d, 0x4d5c1d8d, 0x54fd9395, 0x037a1d59, 0x4e3eb164, 0x095c0e14,
+    0xd676d1a6, 0x610343e6, 0x4ff0d4ef, 0x1ff83042, 0xd65baade, 0xa5932ea9, 0x420a54cd, 0x423aa7b5,
+    0xccb5d156, 0xabb107d5, 0x01c5ac19, 0x63c6aafd, 0xb7d8dcbe, 0xf3debf3a, 0xd6f21474, 0xe0429d9a,
+    0xc9d88e02, 0x34b125f9, 0x97639dbb, 0x15bc294f, 0xde25c6b5, 0x6be15990, 0x3e50dc87, 0x1b2f36e7,
+    0x40caeba7, 0x8c84b16f, 0x3f03cf4d, 0xf1ecdca2, 0xcb3acdf3, 0xfdd3b897, 0x0f804580, 0x41a75856,
+    0xd2e7b32a, 0x63169899, 0x4bd67505, 0x04928b8c, 0xc34b4cff, 0x1564af5d, 0xba0c7d5c, 0xb6280171,
+    0x5eb2bd6c, 0x0feac383, 0x68112d9a, 0xb47a2795, 0xabe497c1, 0x68339473, 0x6988d22d, 0xf681002c,
+    0xe4d24100, 0x97d87c54, 0xe8ce7c83, 0x9b239b75, 0xb28c8ee3, 0xcbbc59d0, 0x03908808, 0x1f0b006f,
+    0xf53ad35b, 0xaef43326, 0x0b111aa5, 0x8434d3da, 0x85134bd3, 0xb4d85f7c, 0xfe676fbb, 0xf4667e2b,
+    0x04929cf8, 0xa11fede4, 0xe6b9e8c2, 0x26addc8c, 0xd7619d12, 0x9c5a8043, 0xe93f2939, 0xee6bdc34,
+    0x6ea77474, 0x6106a413, 0xf9e5355a, 0x828eb119, 0x0cf8a6d3, 0x0f832884, 0x4040d761, 0xd4b87812,
+    0xe0086af8, 0x90fe2635, 0x33994d62, 0x232c28bc, 0xb5c4e3be, 0xc6a6009f, 0x3d7d12a1, 0xfa9e4616,
+    0xcd01ed9a, 0x986236e6, 0x9ab69cf9, 0x8556dd0d, 0x3bc230a9, 0x28f2c4dc, 0xfbf7ecc9, 0xf5003563,
+    0xd26db4f1, 0x903a12e6, 0xe84fb660, 0x14275043, 0xc068db99, 0x64d77fd1, 0x5aa6ac83, 0x87f4698f,
+    0x057e09b2, 0x9739d580, 0xfd08b7b5, 0x3b44bb09, 0xa7c22307, 0x6a7cf608, 0xc0bba0ff, 0xbe42dcdd,
+    0x59c7fa29, 0xd6497926, 0x3fff38b7, 0xe91e8ad9, 0xe770843b, 0xbb1e7fc1, 0x782e9f6f, 0x6f73e297,
+    0x7fb70aae, 0x3179ff27, 0x9910bb4f, 0xc947c7f6, 0x869ba8e2, 0xb57811c3, 0x39339b8f, 0x527ea005,
+    0xe020379c, 0x81bc4996, 0x0c9f75db, 0xd0496408, 0xc3139b6c, 0x576f6987, 0x2ecd9bb8, 0x4848a17f,
+    0xed3ade0e, 0xd31ea353, 0xb6feffe3, 0x14f95ee2, 0xe436f6b1, 0xe53a6de9, 0x9ce6ec67, 0xf7ee4163,
+    0xf878870d, 0xeeaadcad, 0x2c50887f, 0xfd872322, 0x3220c73c, 0x83b57be8, 0xb32d6c08, 0x84c5c1f1,
+    0x8ae5bbee, 0x43c74cd8, 0xd4be4f68, 0x2428dc20, 0xb2fc38d1, 0x4c1a150d, 0x460a68bc, 0xd5d6fe4e,
+    0xc8d79e60, 0x42c5039e, 0x6d6b3645, 0x0745281d, 0x867984fb, 0x33dfa5ed, 0x0422c495, 0x9bde4159,
+    0xa04b2162, 0x6c5a3e80, 0xc3d3674a, 0x4278669a, 0x79eb40dd, 0x251a3223, 0x61942ba0, 0x4b3f2166,
+    0xad8a562a, 0x089c38cc, 0x17c6ead7, 0x438d850d, 0x4c7613bb, 0xbb1af8cd, 0xcb733a3b, 0xa06d29de,
+    0xd65e0122, 0xc438ce57, 0x48f3246a, 0xcd22d882, 0xa7d94373, 0xb5e9b51f, 0x0dc28647, 0xc80e9d9a,
+    0xa4227fbe, 0xd02458d7, 0x953e74ea, 0x0669aff5, 0x2ba6e3ac, 0x6e71a306, 0xb4f17ea1, 0xa1cb9974,
+    0xa4c0f53a, 0xf88242e7, 0xa5b19290, 0xfd9d9012, 0x3ce6914d, 0x17a30386, 0xa40f5065, 0x49a76e7e,
+    0x5de587e6, 0x6a750050, 0x386e7b02, 0x4b599cfd, 0x5b52cd44, 0x3b936ce6, 0xce281d40, 0x86f68f97,
+    0x52497cc0, 0x462bd385, 0x060c444c, 0x725b750f, 0x5d7f0c03, 0x982ece2f, 0x5b2e3c5b, 0x6bd33521,
+    0xd3b6127a, 0xeceb971e, 0x9e326721, 0x9abc40e8, 0xba90e2d3, 0x901ade5e, 0x81a9bae8, 0x7dde9aa1,
+    0x80603dcd, 0x2c5b07dc, 0x11708677, 0x18b26314, 0x6e5d4b43, 0xaffac32d, 0x65dffb34, 0x898ffd05,
+    0xc5bc3b52, 0xbe9c3eee, 0x87c40784, 0xbd04d5d3, 0x4a97bc46, 0x459f27f8, 0x456dc48b, 0xc8c7785a,
+    0xb01843a8, 0x6f466489, 0x24d4d8f8, 0x5b3f8e3d, 0x4f974823, 0x13865bd9, 0x849de565, 0x8511653b,
+    0x772d1ca1, 0x63f75b80, 0x85adb485, 0x5a67cd2d, 0x8ec58432, 0x4012a83d, 0xddaae748, 0xf6f2e697,
+    0x377a56bb, 0x1b2ef199, 0x1cecb5f2, 0x149dc602, 0xffdafeb1, 0xc9a40803, 0x57deecaa, 0x8315f758,
+    0x749a8159, 0x3a798dd0, 0xee799ccc, 0x03008e63, 0x89944c78, 0x9a91256b, 0x3f99f315, 0x510ad666,
+    0x7c187c6c, 0x8a6b224a, 0x620a3930, 0xadc83b83, 0xfbf53bf5, 0x1f77af33, 0x89790ec4, 0xc5055cda,
+    0xf19161bf, 0x64dd025e, 0x2506e715, 0xb0966f9c, 0xa26308f9, 0x4067db77, 0x833b82c6, 0x2426e507,
+    0xf35f2f36, 0xed6e947e, 0x945d62fd, 0x637eb238, 0xa9fd64fe, 0xb7f28a9d, 0x1a7ff84c, 0xb34e1931,
+    0x91e933ff, 0x58dd12fa, 0x34bcc521, 0xcfefae0d, 0xc63a1db2, 0x4f004ecf, 0x162b06f9, 0x02bab89e,
+    0x448be89c, 0x1d945019, 0x122ab44e, 0x98641272, 0x0da341e8, 0x643be837, 0xcb748f7d, 0xc7db75a3,
+    0x29bf59d4, 0x90b78bd7, 0x58cad094, 0x38cfa03e, 0x62afb36e, 0xfc85b65a, 0x5d5a93bd, 0x2f7bfad7,
+    0x248380b5, 0xa4a0237d, 0xd91fa5a5, 0xcea3ff93, 0x994d4e8e, 0x95495bc7, 0x10ace8c6, 0xb3fcef65,
+    0x5ae6dd37, 0x6b5dee00, 0xb2f6f9a6, 0x00670fdd, 0x34ca3432, 0xed8b5a1a, 0xd1c79998, 0xe8976cd5,
+    0xcded7218, 0x3e39e658, 0xb3063f90, 0x7eb0a613, 0xbd72d5b1, 0x58005a4b, 0xaa1f9dda, 0x6890187a,
+    0x4eba2f6c, 0x90e19156, 0xd2c45025, 0xca8dede3, 0x44231514, 0xfff47bce, 0xe7e392b5, 0x451792ba,
+    0xe9a00f26, 0x596556eb, 0xb4495737, 0xc84f74f9, 0x626d4458, 0x756b326d, 0xd5133832, 0xe74c8a96,
+    0x5849f74b, 0x2c39b1ed, 0x6b9be131, 0x2795c01e, 0xb68328ec, 0x5814fc97, 0xd0b2144a, 0xb32c9b39,
+    0x490b62a6, 0xff69eef1, 0xa878319f, 0x7cd31df1, 0x5b6acfde, 0x83cf3301, 0x749fe256, 0xfae787d9,
+    0x0bad47f8, 0xe91e6897, 0xd3ee894e, 0x8fa84c1f, 0x9c07f025, 0xc905300f, 0x1f2fe0ec, 0x9e6add53,
+    0x3e9db41c, 0x4e1173c1, 0xf80f9de0, 0x2f3517ab, 0x6eb0962b, 0xd469dbf3, 0x5e6b3665, 0x27421ca6,
+    0x0bc984f7, 0x65035cf9, 0x6cd3c990, 0xd3a64881, 0x7d89c5cd, 0xb281e3be, 0x4db11bf0, 0x94df3af2,
+    0xc37cfce3, 0x027fde30, 0xac1cdee3, 0x4df1b077, 0xe5e71a77, 0xa839ccdd, 0x28fc5f3e, 0x338753c3,
+    0x7d664e43, 0x4d484fe8, 0xd97b0636, 0x06e7d3d3, 0x0dcbac8f, 0xfcd97703, 0x9ad05625, 0x63ea68d6,
+    0x8dce34b6, 0xef72a0ae, 0xd172fa3f, 0x77d0dbb4, 0x41e3defa, 0x2bfc81ce, 0x4565b280, 0x920ee288,
+    0x199a0751, 0x58c897bc, 0xe8b8096b, 0x18062dcc, 0x345e7ee9, 0x35a6aad6, 0x664f72c3, 0x88b3b22d,
+    0x3dea0403, 0x3b367549, 0x0c7af552, 0x58655367, 0x3c639471, 0x4bd481b2, 0xfc8df4d3, 0xfd77d572,
+    0xbdc0282a, 0x86a75ca3, 0x7de41f90, 0x10ee2da6, 0x5f0ee489, 0x5c9029bf, 0x484504d2, 0x19a38516,
+    0xa039914a, 0x50543abf, 0x0d0d7fd3, 0xfe76f48b, 0x9049c9e7, 0xadaeca91, 0x62398a07, 0xbdaf9b30,
+    0x6110d9a8, 0x88ec1ae5, 0x384a44f4, 0x5bade71c, 0xc27353a4, 0xff415c09, 0xe5b8616d, 0xe9871095,
+    0x54ec7433, 0x570ab062, 0x2b9acaab, 0x7571188d, 0x7e93ab64, 0xb8b88e03, 0x7d0e9e1d, 0x83d78a64,
+    0xf2b3bbdf, 0xf6318b29, 0xad6c7db6, 0xcb3d8173, 0x43edb6de, 0x6a021f47, 0xf5c7338f, 0xa83d71e7,
+    0x09fc1ecd, 0xd757fb9a, 0x98656395, 0x1824ad8f, 0x504b220c, 0xf94d0b32, 0x0f407164, 0xebe2615a,
+    0xf456a0d0, 0x7b67a54a, 0x5b148b64, 0x80265d0d, 0x898ac31f, 0xb89203b8, 0x419d4dd8, 0x4d961879,
+    0xd1d391e9, 0x1bed0fb5, 0x74f638cb, 0xbc1fc9a8, 0xa076b016, 0xc47dc5dc, 0xf122605e, 0x1a57ed45,
+    0x71e78e14, 0x830f721d, 0xb3a4511d, 0x10ddfcb2, 0xb6f7dbde, 0x9a63864e, 0xe4c58067, 0x44e1a83d,
+    0x7faed83f, 0xe023d0af, 0xb67515d2, 0x161126ab, 0x5d02fb9c, 0x9165572d, 0xa02e809e, 0xd4048219,
+    0xc1d879c8, 0x2e3cb4bb, 0x674e0bdc, 0x55c3bf1f, 0x331f3371, 0x7c345096, 0x6ca3d18a, 0x32ddad7d,
+    0xf533eaed, 0xfc4ef68e, 0xa9562a96, 0x69f141bf, 0xf4cd7c6e, 0xd6cd5888, 0x4e463bbb, 0xa5f06f42,
+    0x347602ef, 0xb0deabe5, 0x341cc1f1, 0x081a6c79, 0xc23cb90a, 0xdee6e250, 0x3478a10e, 0xd3cd670e,
+    0x7f3d8269, 0xa1226d9e, 0xaf1bf87f, 0xb736c278, 0x14e00144, 0xa9dca968, 0x1daba39d, 0x6af97f8c,
+    0xe299f128, 0xc1a6cb8a, 0x1132d2b6, 0x9455702a, 0x1f58d574, 0xaae72d3f, 0x0c858983, 0xe98be468,
+    0x9c2ce7ab, 0x6af6e114, 0xe8c758f8, 0x9bb90929, 0x24ca2f8d, 0x0550cae8, 0x1cbe5975, 0x0cea904e,
+    0xb2ad4c76, 0x6e24d336, 0x6336b57c, 0x251f1a00, 0xdf9d9881, 0x5f3e0d36, 0x11cbaa0d, 0x9bd6fac9,
+    0xd2d1001d, 0x9156a61d, 0xd1ed7445, 0x39a0bee5, 0x0e529513, 0x6d5948ff, 0x30f89194, 0x5c0e3dcb,
+    0x8764c7b9, 0x67be4fb8, 0x3c17e68e, 0x896622b1, 0x469d16d9, 0x53aaaee7, 0x6ccec908, 0xc15cb83b,
+    0xb8b4adcb, 0xd56f26eb, 0x6828b504, 0x32dfe024, 0xdf644989, 0xe63bf00a, 0x34beb0a5, 0x38018663,
+    0x5d98c63d, 0x8f3d2216, 0x67bddd81, 0x081e9619, 0xd76654b6, 0x2ac5309a, 0x5208cfc7, 0x9fc4a15d,
+    0x93d9fd67, 0xaaac6c30, 0xdc34813d, 0x20ff7afc, 0x68bc990f, 0xb1fb7cec, 0xeed2b402, 0xdb25a763,
+    0x3a9bd156, 0x6e2f9d07, 0xd0af5032, 0x6e61d56c, 0x2ea227fc, 0xf7a99a14, 0x13e2b3bf, 0x053ed0fc,
+    0xe0e00bc7, 0x713edbb6, 0x968c7930, 0x1d927fb5, 0x3f1b7989, 0x3b1e0279, 0x1d95b7f2, 0xdfcaa868,
+    0xbc4eaf08, 0x350af807, 0xf0a00686, 0xd9d322a7, 0x7a81ac3b, 0x0eb66743, 0xe67ab1ea, 0xfd542387,
+    0x15776c5c, 0xa3722369, 0xf1edc92d, 0xeaea1699, 0xbc36156d, 0xa6aaa27b, 0x09168e67, 0x71d5f446,
+    0x1fe6c932, 0x3bd70ba3, 0x15ad992b, 0xd4948d34, 0xc26fb476, 0x728fabdb, 0x00ef49b9, 0x98ecc6e0,
+    0x203b620e, 0x4cf8624c, 0x7e528af4, 0xeec3cd20, 0xe63b7cee, 0x7153063c, 0x3e1ca164, 0x51f704bc,
+    0x26406281, 0xeffbd9a5, 0x9adc0fb9, 0x3fc64dac, 0x6f3e95ea, 0xd9926386, 0x34de35cf, 0xe8bdbd4d,
+    0x407392ad, 0x893f484b, 0x10f4d9a9, 0xb0c26cd1, 0xa23bc207, 0x03aa9d89, 0xc48d5102, 0x4eed010d,
+    0xd832dae5, 0xce01d2fc, 0xe3f81522, 0xae27e6d8, 0xd72b5b29, 0x4959c3d2, 0x7a2364b3, 0x3097d26c,
+    0x35c743b6, 0x1529207c, 0x3df09217, 0x3dd6beb0, 0xd2c633ad, 0x928a8a50, 0xcf87ce43, 0xc62e8bfd,
+    0xce52bf23, 0x3666075b, 0xb99dbfb1, 0x8da4337e, 0xe5294859, 0x08014d0b, 0xe6964da7, 0x5cae395c,
+    0x1622950c, 0x85dfe690, 0x45b1ab30, 0x8fdf2f62, 0x01ab1a6d, 0xab55bd58, 0xb115c2d4, 0xc17aef49,
+    0xa339e777, 0xc9b236fe, 0x5863ba94, 0xea1174f7, 0x0a7ff43f, 0x3783f701, 0x6f33384c, 0x234d021b,
+    0x79c4f7e7, 0x1a76083c, 0x475076cb, 0x60813293, 0x2c231c36, 0x8597f758, 0x553d39bd, 0xc9fb2441,
+    0xc98228c4, 0x817f6c33, 0x639e1ca2, 0x420ebb8b, 0x1dccb70f, 0x83c17062, 0xa642c78d, 0x23a60996,
+    0x1fb99408, 0x933623c9, 0x128327a7, 0xcc8ecbed, 0x9247d93e, 0x709fc376, 0x3ddc681e, 0x589f9832,
+    0x75713440, 0x2c671ed0, 0x04703c4b, 0x4b940d0b, 0xe18165e5, 0xe9b59d7d, 0xf1f45bee, 0x2c125aed,
+    0xcb4d3de3, 0x0bfb4031, 0x4fae1d7c, 0x1a21df72, 0xe551069c, 0x34dc1933, 0x753806ee, 0xd26936d7,
+    0x0708edd4, 0xd5c4c014, 0xbf8387a2, 0x39119dd3, 0x83e96a87, 0x734f901b, 0x67e31831, 0x60f676d3,
+    0xd4fee0eb, 0xca169eb6, 0x41a6ef3e, 0x3a99b5ce, 0x49938a19, 0x11a52ceb, 0x72dc7f43, 0x2850ee0d,
+    0xb58bc575, 0x7f2de309, 0x561bab05, 0x52203b91, 0x06f1fc70, 0x5ba6d386, 0xe1c7b6f6, 0x424a2618,
+    0xd568fa4a, 0x078a6d15, 0x3861cb20, 0xe0fc7677, 0xe44346af, 0x88a7f378, 0xe8a8bfe0, 0xc5d982c2,
+    0x4d386ef1, 0x1d22e53f, 0xcdc22a8c, 0x7a1c9f3d, 0x5c6f1f4c, 0x417b85da, 0x4851e614, 0x6f8b8e4f,
+    0xef615a87, 0xcd83a434, 0xcb6cbcf6, 0x1c007a97, 0x172962f2, 0x193ca4ca, 0x8198d097, 0x0c7e59e8,
+    0x9098217c, 0x40c051ab, 0xa2968724, 0x444a6d62, 0x9ecb98df, 0x66eea04a, 0xc4f2d85c, 0x979ae9c3,
+    0x8e3eec7b, 0x4416dfcb, 0x36c1dc5c, 0x8e680b3c, 0x8b6cd5bc, 0xb88852b2, 0xa7c2216a, 0xfadced89,
+    0x2cf97e26, 0xff9faa09, 0xa0274b00, 0xd919a67e, 0xd742ab36, 0x47af72e2, 0x557676a0, 0xe6ff2dd1,
+    0x1a658995, 0x1279b626, 0x5e097560, 0xb35b8298, 0x1a872bd7, 0xadb293f2, 0xce74165b, 0x547412ff,
+    0x018f19df, 0x8f758b89, 0x8e4254d5, 0x85bc9c2b, 0xc774be24, 0xa35eb0d0, 0x50fa9ff9, 0xd3153d05,
+    0x6864ca94, 0xa6430c5c, 0x5ec3232f, 0x80ad3ce4, 0xaa3a7ade, 0x8b0a53d7, 0x08522e44, 0xfeea94e1,
+    0x4426e756, 0xa53fdfb9, 0xd03533b1, 0x2dcc2158, 0xe26ce59c, 0x91f3436e, 0x3470d989, 0x8e7fe1f7,
+    0x80aae18e, 0xfd478d19, 0x8efc79e1, 0x0caa614c, 0x7220c547, 0xd42a2b3d, 0x9640daa9, 0x059c2985,
+    0x5dbcc642, 0x16c3de90, 0xcd28754a, 0x3930516e, 0xe8cc10c3, 0xded09d74, 0x436ee36c, 0xf6175a27,
+    0x80676e17, 0x6cfaddb5, 0x88a79dd0, 0xbcf97995, 0xd882952a, 0xc56f4958, 0xddda7d54, 0x7712b852,
+    0x1604d4fb, 0x7a953761, 0x56c93621, 0x48d10d40, 0xbad1dc36, 0x82ec66a2, 0xe3c5975b, 0x5536db81,
+    0x986f1813, 0xbfe4f8d2, 0x9dfc2c01, 0x418ce831, 0x5f54ed7a, 0xda7e0679, 0x889dd296, 0x367cf5cf,
+    0x2eca2c44, 0xbea9d265, 0xb7e2aa2e, 0xc0220c26, 0xdb67910f, 0xb1bb7fb7, 0xf5f0b5e4, 0x451c67f2,
+    0x100663f3, 0xe392f81c, 0xedfe9658, 0x3efb6199, 0x24b36633, 0x4cadcdd4, 0xd1808916, 0x16b649a5,
+    0x19f25f6a, 0x15696005, 0x83e56239, 0x1698ddeb, 0x587aeb2e, 0x907ffb06, 0x055f6abb, 0x6c6c0859,
+    0x1b634f09, 0x0213c6bb, 0xf121980c, 0x1c29c80c, 0x1d4086a9, 0x37b59938, 0xa4539590, 0xbe021012,
+    0x2d80b546, 0x2c344d8a, 0x0eb0aada, 0xd949e90d, 0xba6f5943, 0xeed75cb9, 0xd36b8e65, 0xae8fab26,
+    0x00000000,
+    0x7b920158, 0x42f5850d, 0x2faad8eb, 0x47ce8f89, 0x43f7a775, 0xe1674199, 0xab2020b9, 0xeb53a46d,
+    0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000006931674235302037148946035460357709258591092688439541\
+                         43792619895153655326951406405759993601526034894524347802740350892957243539456 */
+  { 0x00000000,
+    0xf9516b21, 0xbda5437e, 0xf9c73296, 0xa577a069, 0xdc749f2b, 0x6a1c3548, 0xd85a37fb, 0xb9b3486c,
+    0xba56aedf, 0xbf6d739b, 0x49a7a5c4, 0xb3bf6632, 0x3e017449, 0x35e79d38, 0xac585f4c, 0x5cb00b68,
+    0x367eb16d, 0xa4b09988, 0xc967992c, 0x7cd67a72, 0xb1f4b183, 0x7689052e, 0x049e47b4, 0x89b16876,
+    0x388f890e, 0xd65c9172, 0xccbf0e07, 0x5bdc753f, 0xbb7514f7, 0x71b5ea63, 0xcd621b6c, 0xdaa16113,
+    0xde90dd90, 0x8b0a97df, 0x55ae5ca0, 0x2fa0fe21, 0x9c357aae, 0x52513a94, 0xed64546e, 0xbece759a,
+    0x0e84dc65, 0x2f7470f5, 0x56dae094, 0x2611a26a, 0x08804442, 0x3f8b5c3c, 0x5189a956, 0x7d1a6f9d,
+    0x6260cbdf, 0xb5d43f38, 0xd61215ec, 0xc3fe5b50, 0x0eb15ebf, 0x3f9d975c, 0xb9fb26c2, 0x763cd4d8,
+    0x39e0fe53, 0xea4d87b8, 0x7a83f00a, 0x74af4c4c, 0x28c0c63e, 0x983e1491, 0x8276f477, 0x22d97e00,
+    0x16a768df, 0x90346448, 0x08044c2c, 0x9aadb6e3, 0x4e7d46e1, 0x7df3a6c4, 0xe29691ae, 0x9e31d876,
+    0xa7511564, 0x493e6632, 0xc2c131a3, 0xa0cdc27f, 0x5b5993d3, 0xcbc9e038, 0xf4a9679b, 0x0a6f4dce,
+    0x50860434, 0xdb82aa08, 0x737ef375, 0xde7e6925, 0xe2d7e07b, 0x264c968c, 0x25f2f059, 0xd1fbf929,
+    0x0a4d0410, 0x000cc067, 0x3960c0a9, 0x04f5a622, 0x12297fbb, 0xbd7075d8, 0xd8929415, 0xa4dc5e4a,
+    0x8afccd4f, 0x8873a9f0, 0x3d21eea4, 0x79cb6ff4, 0x05ad90e6, 0xf445bb3d, 0xf4968a27, 0x60fa3164,
+    0xd9f11830, 0x2561a880, 0x8e0d4b44, 0xce7597e1, 0x6b95de8e, 0x0baa0582, 0x78ff40f9, 0xe338a355,
+    0xe3123d40, 0x8c202de6, 0x4fae646f, 0x21c73053, 0x14b94147, 0xf78820b6, 0x0bb4d5c2, 0x66a579bc,
+    0x27605772, 0x22b5a292, 0x816bde54, 0x58d7bde4, 0xee78ca5e, 0x1c3f97a9, 0xc62a624e, 0xd80b10e0,
+    0x52fcb836, 0x665adc33, 0xc9062fad, 0xcf114bce, 0x32ea2b13, 0x6d5757c2, 0x1785c4a8, 0x92bc2a37,
+    0x14ad6d5d, 0x9aac76ab, 0x81cade21, 0x9d7eaad7, 0xd76a1fc0, 0x867f7f27, 0xae84c4cd, 0xe2ae76c5,
+    0x82557d39, 0xf14343a9, 0x1f393f9e, 0x9086141a, 0x95395d1a, 0xcc3e0cad, 0xeff0c33a, 0xede65eb4,
+    0xfe424c87, 0xa84ad477, 0x562523aa, 0x4e946256, 0x64b8200c, 0x7ccc311c, 0x96981740, 0xf0c355a6,
+    0xe157bf4f, 0x7a5baac0, 0xbf9877f1, 0x81a5e08b, 0x055177f4, 0x4e324c84, 0xe652304a, 0x513235dd,
+    0xe0453029, 0x304a0ac4, 0xe09dd642, 0xc6087ac2, 0x36cb8ba4, 0x1af154af, 0xf5157ab2, 0x41277504,
+    0x56229164, 0x08dd4522, 0x26a465cb, 0xd0a46585, 0x2a256401, 0x150cf4a2, 0x1ca82d2e, 0xfbdb3fa3,
+    0x65f47c92, 0x84491be1, 0x352d8a96, 0x41dde5be, 0x65829f07, 0xbf93bf48, 0xcd476acc, 0xfd22ce65,
+    0xef7b4fbb, 0x14b836c3, 0xcae3190a, 0xc8ef81e5, 0x422b9df8, 0x92c2eedf, 0x14d15b17, 0xfd658a16,
+    0x595d54b4, 0x6aa29d1c, 0x1564de07, 0xe5a2da14, 0x507b8f89, 0x180d9109, 0xc82c4663, 0x70c44685,
+    0x198176c8, 0x6ae512d8, 0x023eff43, 0x1d25b90f, 0x67188579, 0xfbb95177, 0xbccd1ef3, 0x2ed2c811,
+    0x4d9c7006, 0xd08b939d, 0xd3e95572, 0xfc02e8cb, 0xa0ac31b7, 0x21b8a243, 0xaf42531e, 0x6f821d22,
+    0x7e26ba3b, 0x2c61f600, 0xec8a2dc2, 0x8f5c8c5d, 0x0b624ce3, 0xb3d5d511, 0xf3ee3f7b, 0xe6fcb321,
+    0x38145a98, 0x36d90905, 0x5c751d3f, 0x007ab8f7, 0x9710b607, 0x5382719b, 0x0db8d304, 0x787432a7,
+    0xa1719ea5, 0x869a72f7, 0x3adf3bc6, 0xaedb80d1, 0x30bf0ac9, 0x16acdf4a, 0x7597bc4a, 0xd707f9de,
+    0xaa48095d, 0xad01d4de, 0x5e9b9443, 0x6aa8a684, 0xf935ed67, 0x370788a2, 0xfe19dbbd, 0xaef88595,
+    0xa35c55f8, 0xae7f9c3b, 0x3ba518b4, 0xd427339c, 0x3cbb889d, 0xb988a319, 0xa4ade3e0, 0x6c5da23b,
+    0xb3b35a59, 0x62098043, 0xda3d0f3b, 0xa7a2a94c, 0x63c253d4, 0x8ef80cbd, 0xefe31cff, 0xfeca5cfa,
+    0xe6768055, 0x76ea8453, 0x545a5dd5, 0x0230278a, 0xd63ce191, 0x91485e8f, 0x17bb0106, 0xef91eef2,
+    0xcf6796a5, 0x560decfc, 0x5bed12a7, 0xcde8ce9d, 0x55c570f5, 0x742f1fcd, 0x263418ce, 0x750fbe83,
+    0xcd4b4cf9, 0xc928f36f, 0xab0925c9, 0x3c477e32, 0x8fd28ba7, 0xd547f1b7, 0x5cc36837, 0x69624368,
+    0x7f1febbb, 0x96519205, 0xcac4cb2b, 0x27a49bec, 0xcec87035, 0xf5704ed8, 0xeb393a71, 0x99615a50,
+    0x3525023a, 0x5736105b, 0xe0cdda42, 0x69d2f818, 0xad4a8972, 0x361eba5a, 0x7abc0730, 0x11d06dd0,
+    0xd6972966, 0xe8fadbf8, 0xc6d403f9, 0xce408e71, 0xe5901909, 0xed8e69d5, 0x4127c9e3, 0xe01899f7,
+    0xbfc4b3e9, 0xfaa159ff, 0x677211bd, 0x4cab2102, 0xb98c0657, 0x361d3141, 0x9fc72959, 0x595834fc,
+    0x3deee5aa, 0x1d585530, 0x3e33d79f, 0xbcd4de27, 0x9f648900, 0xb7660d5c, 0x5c146556, 0x4b428808,
+    0xe33da3d7, 0xea1443db, 0xdd44ac16, 0xa1e18d8e, 0xc1d171e5, 0x098d08a9, 0xf07e54d4, 0x62351c84,
+    0xcf4b1a84, 0xa209d76b, 0x707a80c1, 0xf0d72f66, 0xbe4a2d1e, 0xe62360d6, 0xc6977beb, 0xf601cb41,
+    0xd8665586, 0xab8e637c, 0xa47efec9, 0xcffaa2ae, 0xa8fecb74, 0x786f82dc, 0x67379c14, 0x850dbdfb,
+    0x683babdb, 0xb7f5857b, 0x251d406a, 0x1ac00291, 0x1bbec3fa, 0xaf0b2873, 0xa33fda3a, 0x8d886faa,
+    0x18b15f75, 0xd292853f, 0xf3536fe3, 0x88e58fb9, 0x49248844, 0x790217e5, 0xae0fc919, 0x21f9036e,
+    0xa263420a, 0x899d106c, 0x791e3e3e, 0x60278c38, 0x047d06ed, 0xf69feab8, 0xad36772a, 0xc23f1c2a,
+    0x2cf43ae3, 0xc3c2c434, 0xeccbda3a, 0x4e6f4714, 0xf54f906c, 0xb8e3bd69, 0x444c987f, 0x7f1c6a72,
+    0xf43cb3c2, 0x0200dff0, 0x1eedacc7, 0xd87a9d46, 0xc3e5eff7, 0x2850a7e6, 0x75a569aa, 0xf9faea9f,
+    0x791db3b7, 0xf8b956ae, 0xc8a0bd99, 0x94779250, 0x9304f9e9, 0xeedfd643, 0x1845c854, 0xa2ecd1b4,
+    0x5d8e4bb9, 0x9b3aeb1b, 0x42dfa4c6, 0x4a8b630d, 0x171152f6, 0x3d295ffd, 0xe4006a34, 0x079f4a55,
+    0xffecc889, 0xf8234e1c, 0x58bdb191, 0xe0aed074, 0xff544e5c, 0x8d5345b1, 0x192e99e6, 0x4f55329e,
+    0x73474ac3, 0x4d37fd8a, 0xd79c3c01, 0xe51f61fc, 0xca20e26f, 0x8781d9ad, 0x264f2930, 0xc5b986bc,
+    0x4f693a6f, 0x346438a3, 0x1740069d, 0x35be9dfa, 0x1227f237, 0x8a502e6e, 0x11718ba0, 0x60671eea,
+    0xfc279780, 0xf1a7ed5b, 0x50147ad8, 0x19ba96c7, 0xe596591b, 0x97967c9a, 0xa77e6800, 0xbe28ef18,
+    0x9fb04a94, 0x57d30be0, 0x108f7886, 0xc68a33bd, 0x184e6996, 0xf9fe4227, 0x5328adaf, 0x1bafdcf7,
+    0x787a6fbb, 0x589ea853, 0x24608441, 0xfcba9c63, 0x2943a1d9, 0x46e85004, 0xd9c6cacd, 0x9351ec7c,
+    0xd6be984e, 0x8d70a368, 0xa30a67c7, 0x4fce488c, 0x7ca601a1, 0x0dbf13b2, 0xb22263a6, 0xa8d9fa98,
+    0x9dc1df32, 0x23009a75, 0xed97f40f, 0x332d48e9, 0x9a89d25c, 0x33353720, 0x61002942, 0x5a7b306a,
+    0x3d9fdfe5, 0x7fe6fcef, 0x2471774d, 0xa8d6e477, 0x6e9d421d, 0x69ad276b, 0x718074af, 0xfca65c68,
+    0xd614c178, 0xab73cc63, 0xcba5a1d6, 0x540b1957, 0x79c4b48b, 0x8f74c7e9, 0xc09175f1, 0x3b8b9a8e,
+    0xd43cb970, 0x019ed77a, 0xb1dbadf8, 0xc5a3129c, 0xbe053bee, 0x267b710b, 0x26f4b22a, 0xcf163bd7,
+    0xb443eb18, 0x67dca2bf, 0xb191d3e1, 0xde05474f, 0xb07e8af3, 0xe8fc8454, 0x3a4ac23c, 0xef5ffedc,
+    0x6fe2e57a, 0x820bb7d5, 0x04d1bbba, 0x682b4d02, 0xe31a7d59, 0xac3bb884, 0xbd267ee5, 0xac261c42,
+    0xd48785ce, 0x15645381, 0xc7d6c660, 0x40f412d1, 0x4ee53a10, 0xa7e8ecd2, 0xaca8bb08, 0xad32133e,
+    0x6d51ba41, 0x53cc77b8, 0xc69d1a64, 0x1b943709, 0x0e5f7d1e, 0x9ad63c93, 0xbfc86186, 0x5bd999b8,
+    0x40754ef9, 0x34cf5eb1, 0xbfb95583, 0x7def2ee7, 0xbf3bcc2c, 0x60d9ae07, 0x1aa30d18, 0x9471b6a6,
+    0x0acdbf00, 0x6de1ed59, 0x0288d121, 0xc164f572, 0xce1a1b86, 0x41cdb4bf, 0x4fab2cb8, 0x1b6da58f,
+    0xd833674b, 0xd04e54be, 0x0288c138, 0x41acc098, 0x9447acc3, 0xa186b055, 0x4237deb2, 0x898fd78b,
+    0x665b6e0d, 0x5126672f, 0xd5f70c9c, 0xcc276e57, 0xb294565f, 0xdb50703a, 0x731c40b1, 0x79d91789,
+    0x400ae6be, 0x5aae87fa, 0x303d91a3, 0x3b7b48bb, 0x70252adc, 0x711ba9e6, 0xdcd39252, 0x3ebcc779,
+    0xbc048ece, 0xc52c8845, 0x2921ffe4, 0x33de4209, 0xff4246cc, 0x359afd71, 0x4660655b, 0x70885864,
+    0x3ad4ee3b, 0xc694d53f, 0x48c1a327, 0x449a8ff6, 0xcb52827c, 0xb58f3c6c, 0x36c76207, 0xc674f985,
+    0x3a7bc7f8, 0xf306bf04, 0xc196a5c1, 0x8fb54043, 0x61523134, 0x81b13962, 0x8c09ec00, 0xcd4dfe1e,
+    0xef868b99, 0x3b6b6792, 0x48698629, 0x094593ec, 0x94635287, 0x3f6faab5, 0x0b058daf, 0x6725032b,
+    0x807752eb, 0x073a02f4, 0xd698f495, 0xfdd70449, 0x1755dc9c, 0x75985cff, 0x0cb21ce9, 0x024c9195,
+    0xedfcb83f, 0xbcd449ff, 0x97ea17f2, 0x464f30fc, 0x7ca7a6a1, 0xb8b89523, 0x82c99918, 0xb095e88a,
+    0xd9c038a0, 0x67d77737, 0x06470faf, 0xb5faf1bf, 0x1ab542e4, 0x00dce5ce, 0xfedda2db, 0x79050471,
+    0x15675cfe, 0x65b189eb, 0x6c5c2150, 0x9a5e715c, 0x44858275, 0x5b585b65, 0xc72ae2e4, 0xc6f1f4d5,
+    0x7f019680, 0x34a6d677, 0x745804be, 0x089000b4, 0x80ba7f80, 0x3b2adc6f, 0xb5abef6c, 0x06fc4a3f,
+    0xdb8eb330, 0xfea5b968, 0x1205ac6d, 0x65e1dceb, 0x22c40a65, 0xc68f790f, 0x6dd2feee, 0x7a641825,
+    0xc6d26cda, 0x4f87d6ff, 0xb765eb2d, 0x6e2a7d62, 0x9533babf, 0x9b36c633, 0x0497a03a, 0x1efe8064,
+    0xde9a83ef, 0x5ac2542e, 0xf0212a13, 0xb4b51e17, 0x49f9c9a1, 0x87067d90, 0xc0bcd978, 0x0102f534,
+    0x27bd9cf0, 0x9c20a404, 0xf023738b, 0xc1158468, 0xe66413d6, 0x8bd537e7, 0xd8afe8f0, 0x344b3b9c,
+    0x3e46e1df, 0x4ac26711, 0x37ca4791, 0xf49ff773, 0xfd71cdb5, 0x69d66555, 0x7794e8b6, 0xd5b0fbcd,
+    0x46f633dc, 0x2f237efd, 0x2b0b3351, 0x7dccd7a5, 0x68b749d9, 0x153ad295, 0x162d3280, 0x883846cd,
+    0x0a4cd1f3, 0x716476d2, 0x8d09e03f, 0x234f5b52, 0x341d83b0, 0xef6f840c, 0x97777225, 0x9d56694d,
+    0x2ad84b44, 0x4337b9c2, 0xba28a4f8, 0x6e7c32d7, 0xdcc66879, 0x90e70b95, 0xd72503a3, 0xef2a6eb4,
+    0x0254a2c9, 0x6bfcc8b3, 0x6717da2b, 0x8cf4d0ca, 0x35ae37ee, 0xe3cd1af9, 0x10164c37, 0x1f4e838a,
+    0xd6468086, 0xcf0af796, 0x8325f9d9, 0x4ea4994f, 0x1cc9c17d, 0x3ab6bc97, 0x92fbcee0, 0xa232cb79,
+    0xbcb2d0cc, 0xdb8cd4b6, 0xdf7b5331, 0x2b57afc1, 0x8510163f, 0x89ee779d, 0x1f17a956, 0x5d3ed625,
+    0xaa44f080, 0x6a9160c8, 0x2d5fdbef, 0x66548e9e, 0x6a92b62d, 0x6f7d716c, 0xc2874a93, 0x966142c2,
+    0xffa936b4, 0x8b66d175, 0x3a1085ca, 0xc2bf3cf8, 0x60165a7d, 0x46c44e46, 0x3275c9f2, 0x46db844a,
+    0x9ea2856d, 0xa44a1d3a, 0xd3294a34, 0xbf5024a3, 0x5521df7e, 0x5e7520fa, 0xf4cedcd0, 0xcac53418,
+    0xdb9d1357, 0xfa26b355, 0xffc550a1, 0xfad817bf, 0x92db5b65, 0xa98621eb, 0x8e12e1cc, 0xbd27f1cc,
+    0xd9573b23, 0x5d9a3696, 0xe367925d, 0x12cf8c20, 0x331d3f30, 0xc93efbc9, 0x20de203f, 0x3ec0257b,
+    0xd692a0d3, 0xb0ef7838, 0x32c16e5d, 0x4db5a416, 0x97238355, 0xe17e8962, 0x78743781, 0xb9635d72,
+    0xaffe4aac, 0x104f6132, 0xe80b124e, 0x837bb02f, 0x9f5722c6, 0x74662461, 0xd66ec995, 0xf4dbcfde,
+    0x70722fb9, 0x44702254, 0x4197eadc, 0xc55777c7, 0x48702764, 0x4ae37ee8, 0xcaa4ccd3, 0x610c1c5e,
+    0xb41a0504, 0x4c29a21c, 0x095eda24, 0x9d5ae058, 0xbcff0e99, 0xe13da271, 0x65a375e1, 0x95698f02,
+    0x21b3a931, 0xdcd51363, 0xf11f2569, 0x2a106d12, 0xdd80a041, 0x56dd1267, 0x47fcec5d, 0xb4a4952a,
+    0xad75bf7f, 0x6acdb72e, 0x6910aed2, 0xb5b7a85c, 0xbbc68a4e, 0xc0360507, 0x973bf27e, 0xea54b45c,
+    0x1f8b2be3, 0x804f5545, 0xb3069452, 0x97cfe8a6, 0xfb2b1473, 0xa7dd2ef0, 0xad4dcf5f, 0x9b3c8376,
+    0x31f577fc, 0x806b8c8a, 0xb21b4032, 0x429277a1, 0xd449381f, 0x9e5d86f4, 0xfa8d2069, 0x9c551ec7,
+    0x6f56b6f5, 0x0f8a7552, 0x05635fa8, 0xf08c5da7, 0x64af6a81, 0x820b2a4c, 0xd6f48591, 0x858667e6,
+    0x7d9433c9, 0x3d3bbbb8, 0xb48529f1, 0x3c4219ec, 0x6603b3cb, 0x22e8f0f1, 0x598e4411, 0xa56fdb54,
+    0xa50f8a95, 0xb97380a1, 0xc03ed228, 0x633dd697, 0x0ac1f174, 0xd46ed645, 0x0fea0f33, 0x7d965a75,
+    0x2f7ca7ad, 0xf7aad7f3, 0x8fee0e9f, 0xe6a4ae04, 0x44898677, 0x037d853b, 0x54624d2e, 0x2aee9026,
+    0x90b42980, 0x89b56bb6, 0x134a1926, 0x3ddffad0, 0x4c2e31dc, 0x623f514c, 0xa61c2549, 0x7b3f2521,
+    0x978bd7a4, 0x453953f2, 0x55a30485, 0xcb1fb0d9, 0xb655e07b, 0x8817c4f6, 0x2dddc8b2, 0x226240c6,
+    0x40a3f76b, 0xaf912bb5, 0x0ab17ca5, 0xba7d913e, 0x44f44e08, 0xd9da2d98, 0x7aba0b0b, 0x35f4da4e,
+    0x55c6335d, 0x5512d716, 0xe3011354, 0xd937ae67, 0xf874896b, 0xa306d898, 0x24129f62, 0xfcbfe72f,
+    0xafe6600a, 0xba75606c, 0x52225eaa, 0x08b3ea08, 0xcc402ca5, 0x6841cf8e, 0xa5ed6452, 0x75bd83ab,
+    0xe56db843, 0x3997ced0, 0x7290a755, 0x7c971ca1, 0x0f928df9, 0x06a542b5, 0x983c9fd9, 0x473326ce,
+    0x89abcb2b, 0xf3e63d34, 0x890e155a, 0x4ece938c, 0xee4b4ac2, 0x9cf279c2, 0x8b632ea8, 0xcff27851,
+    0x0e681ac0, 0x84c0832e, 0xacaa6a83, 0xdc04c4bf, 0xb095e56b, 0x75106438, 0xe32b68b4, 0xcf7b6ee0,
+    0x4a3dd631, 0x8f7941e9, 0xcaae3249, 0x79b6d5e7, 0xcde1e063, 0x535caa8d, 0xb4005468, 0xed6a5006,
+    0x68f96864, 0x9fa2dc98, 0x4bc7b0c7, 0xdc7f20a4, 0x45e24c65, 0x91fa9bd3, 0x8fa457c3, 0xbb605d4d,
+    0x8247577f, 0x7b63b23c, 0x81125b16, 0xec950b23, 0xbad70e27, 0x04f93499, 0x41456ff4, 0xdf9bd634,
+    0xbf74eccf, 0x58c05854, 0x7c66fe1c, 0xc6f5f6ed, 0x6b1f8a59, 0xd24afc8f, 0x282ff233, 0x561446b2,
+    0xac3b2d41, 0x3feb0f5e, 0x9eed7bba, 0xaff885ca, 0xf9d57eb8, 0xc65514a5, 0xb8c38436, 0xdebf1535,
+    0x854da830, 0x1fb9e7b2, 0x5cfd9936, 0xbe969c12, 0x555d9e0f, 0x745bea7e, 0x41446430, 0x201942b6,
+    0xb4640bc4, 0xa5c9ac5c, 0x769d728c, 0x62c26c6d, 0x6e20fed4, 0x22d4e160, 0x358a3ff5, 0x13597eab,
+    0xa6352e15, 0x95effd79, 0xa2c9b296, 0x8778cdf4, 0x23ede4a3, 0xd77650c1, 0xdf90d205, 0xcb63fd81,
+    0xc41d9f04, 0x061c10df, 0x9e3f5133, 0x36801101, 0x7cfc85fa, 0x45262205, 0x2ada0ad9, 0xd3650336,
+    0x00000000,
+    0xbdc900ab, 0xa17ac286, 0x97d56c75, 0xa3e747c4, 0xa1fbd3ba, 0xf0b3a0cc, 0xd590105c, 0x75a9d236,
+    0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000003465837117651018574473017730178854629295546344219770\
+                         71896309947576827663475703202879996800763017447262173901370175446478621769728 */
+  { 0x00000000,
+    0x5669d63d, 0xb008834d, 0x5804e4fa, 0x57fb0ce3, 0x55accd69, 0x39ef1c85, 0x1b6551ed, 0x4c94f564,
+    0x89b337dc, 0x4769c359, 0xf1216f8d, 0x80ece5e2, 0x8b482510, 0xb7df8856, 0xa2abb6dc, 0xceda8ccb,
+    0x986ced4a, 0xfe682fe0, 0xf84f390f, 0xa6a46ad4, 0x3466d561, 0x4ff5ea03, 0x977dbb78, 0x88a4e5ea,
+    0x4db7e890, 0x2d202d46, 0x65cb45b2, 0x0cb70ec4, 0x47ab8865, 0xade1f9e8, 0x0ed95d83, 0xc70c3253,
+    0x231fbf7d, 0x3e45a941, 0x03522c1d, 0x87be8832, 0x79b2777e, 0x57ef2cc1, 0x9a908bb5, 0xe7586be2,
+    0x417f04a4, 0x471d4cfb, 0x0b5d1357, 0x3b66a10a, 0x6d72f206, 0xd684030a, 0xa1421c2a, 0x4367fdbb,
+    0xcebcefd1, 0x06294ff9, 0x016baf21, 0xded55e58, 0x0e39347b, 0x16e98cdd, 0x12d9ec27, 0x7ac3c265,
+    0x8b77fea5, 0x75366ef5, 0x8a0b2caf, 0x6a27bbf9, 0x1ffadc8b, 0x067c43bd, 0x5b7641b2, 0x49caa6ec,
+    0xed84295d, 0xae6f527b, 0x79911c91, 0x694a9770, 0x60838fd7, 0xf997bc2a, 0x95683ff1, 0x2922f8b7,
+    0x567c2f6b, 0xe921bedb, 0x3a42a1ad, 0x86628012, 0xda7abb6f, 0xf2f4651f, 0x8263af7a, 0x0c150fa4,
+    0xdf00154e, 0x08621bf5, 0x1377448e, 0xdd52a02a, 0x3ba5bc05, 0x0c79e438, 0xb1e965e0, 0x22a2e668,
+    0x6269a95f, 0x35b236b3, 0x9a734b6d, 0x8e8e3093, 0xc3a60207, 0x170eecbf, 0xa6ab864b, 0x2a6ed6e6,
+    0x3511d9df, 0xbac72811, 0x23f71663, 0xa0c0a08c, 0xf7a49836, 0x47ea2fd0, 0x26a57232, 0x74423eed,
+    0xd963061b, 0xf3bc4557, 0x0e140f83, 0xa8529d0a, 0xa6254e46, 0xd6f6844e, 0x7c883495, 0xd619d988,
+    0x5108f8df, 0x73441925, 0x59bac616, 0x35b8ea85, 0xef1655a3, 0xdbc26036, 0x1c8e3a8d, 0x1762e960,
+    0x25c8631a, 0xe57fc37c, 0xe28b081d, 0x59bdc9c4, 0x716f9390, 0x1cf6272b, 0xc6941195, 0x077981d2,
+    0xbdb2b27e, 0xf21af33a, 0x3c31b4dd, 0x22834a36, 0x04cf7d92, 0x54a5b1d0, 0x2d27f252, 0xd52201c0,
+    0x2b18e634, 0x194201b1, 0x0428632d, 0x6f26828a, 0xbaad4732, 0xcc5f9b2e, 0x3f38d08c, 0xaa2528bf,
+    0xaa876643, 0x0e156f7e, 0xf20ceea6, 0x656160c1, 0x7e942974, 0xdb16873d, 0xeeb842da, 0x4e39c219,
+    0xe6173e03, 0x2aa6165c, 0x9380adf2, 0x7babf342, 0x697f4bac, 0xa2d560f7, 0x78fe7700, 0x81fe40cb,
+    0xc4cb2c14, 0xd424ada4, 0x8f69b93c, 0x31a2211b, 0x99a78e31, 0xdbcd711b, 0xe261019e, 0xdd7d53cc,
+    0xdb041bc9, 0xecf2919b, 0x68262fc6, 0xa130b2fc, 0xf60580d8, 0x6d2b1206, 0x20072905, 0x2ba1ea11,
+    0x062a14f8, 0x64a1b8e0, 0x9990f599, 0xb1c0a289, 0x31b6956e, 0xb01130dd, 0x2679fca3, 0xd76c9608,
+    0x64e6222d, 0x24cc6ca0, 0x6484d945, 0xb8e4ef71, 0x33bfc02b, 0x3a1f70ee, 0x0c33f7fc, 0xc3458a36,
+    0xafcd25ff, 0xa52adf1b, 0x41c04337, 0xf7ae25f2, 0x557f73ab, 0xd6dc553d, 0x88a46e71, 0xcf57a865,
+    0xdba3ec93, 0xab467550, 0xeed4a4fd, 0xbafc90a9, 0x3843e51d, 0x5d3e35cb, 0xe023e67a, 0x0981fe9b,
+    0xe9ed82e2, 0xa9bd08b6, 0xd5b78b3b, 0x50a81be4, 0xc9569863, 0xd0ef4fc2, 0xbd57d176, 0x6dd6c287,
+    0xcea5fe93, 0x8fdddd23, 0x2c58d341, 0x09542ccd, 0x1554b92b, 0x969bacdc, 0x9a35fa09, 0x189e45c7,
+    0x65635e97, 0x0f640df9, 0x607227eb, 0xc7ccbc9d, 0xdb3057dc, 0xc8665137, 0x2f73d667, 0x3857fa31,
+    0x79dea0cc, 0x44600818, 0xf6f97798, 0x8db7941b, 0x7a31f1ab, 0xb6702fb8, 0x0cf89fa8, 0x31443b07,
+    0x5837d44d, 0x46f0a110, 0x793c278a, 0xfa8c8705, 0x40fd584c, 0xde42a5b0, 0x55fa6fcc, 0xf875f522,
+    0x9309de3c, 0xd7bbea80, 0x92836360, 0x51157771, 0x62dd58a6, 0xd806dfc7, 0x30ecd842, 0xe0c9014e,
+    0x264ea44a, 0x92dec070, 0xeff5199a, 0x1f6a1ade, 0xede5a30f, 0x5e15e359, 0x086e9e11, 0x8f363195,
+    0x017e8d22, 0x47e60447, 0xb87f49a6, 0x350fcdd3, 0xa00fa124, 0x74cc0b1a, 0x5b95d029, 0xe504d84c,
+    0xd13a5a76, 0x737a62f2, 0x39b2d8c4, 0x2d6fd594, 0x2f589072, 0x4a35c91d, 0xf514b7c5, 0x913e0c25,
+    0x3fd0dc04, 0xdf7e0abb, 0x82238f7f, 0xc0155714, 0xed8b8c70, 0x8d5f359e, 0xdf54957b, 0x75792207,
+    0xb2b73980, 0x3c68fe75, 0xcb7eebcd, 0xb60d4fe0, 0x69e9ca31, 0xa2587c88, 0xf64b2e51, 0x3ff19eb0,
+    0x1a42b58e, 0xf469e3cd, 0x41eb58bd, 0xc5bf0c1b, 0xd612f5f8, 0x07373299, 0xf6603368, 0xcffaf337,
+    0xfe897c7b, 0x935e6652, 0x87551a5c, 0xd7a10e43, 0x2daa46c9, 0x83ad7826, 0x856b2e35, 0xdb429897,
+    0xd16b8d01, 0x526e8ee5, 0x89738158, 0xfe9dafc0, 0x88a00137, 0x729600ee, 0x199a9f8e, 0xf9b3d74b,
+    0x7511a4a3, 0x2297b6cd, 0x5e3e9d27, 0x7ee35a8e, 0x25e74ccb, 0x0b6261fe, 0xc7f44a02, 0x3569f624,
+    0x02e07e0e, 0x6084eb06, 0x5b8fe93d, 0x3ebb8c6a, 0xf2046471, 0xfbc7a0eb, 0x16f78564, 0x472bc237,
+    0x787ac31c, 0x7b02b2e3, 0xf0559e94, 0xfb6ca74a, 0xaa3275f3, 0xad2aaec2, 0x222b71b2, 0xbffbef77,
+    0x7fd97947, 0xb5b18333, 0x00396b53, 0x3dc2b8b4, 0x9ac85de2, 0x2b24bfca, 0x17e1a42a, 0x52008ad1,
+    0x1e4aa49b, 0x357aaf37, 0x5b56cd7d, 0xabfcf4c8, 0xf4eda2b5, 0xe462567c, 0x241d9f61, 0x8e23955f,
+    0x982a1d6d, 0xcfa750e2, 0x7a777e21, 0x67179ec7, 0xbf0f6861, 0x02833bd3, 0x696be4e1, 0xff273cc5,
+    0xfe750459, 0xfb3ef712, 0xf9c79c2b, 0x84e9e566, 0xe7a0ae76, 0x73df9d3c, 0x6de0b692, 0x920aefb4,
+    0x9cfc2948, 0x39fa5ee6, 0x83a41d3f, 0x5ba932cf, 0x4f3d69be, 0x7898b6b1, 0xd1f23929, 0xa1f64f22,
+    0xa7c15dcb, 0x8d862acc, 0xe71d33ad, 0x60425e28, 0xf68b3a62, 0xeb288832, 0xf307ec5c, 0x06534fee,
+    0x4703b797, 0xc5fd38bc, 0xae4dc785, 0xe6dd7da9, 0xaf6504d1, 0x88856d67, 0x54860f21, 0xab4795ab,
+    0x60482d98, 0x0c28efb5, 0x727805f9, 0x7f9b69e3, 0x571ea4cb, 0x0283a6aa, 0x00f7ac4f, 0x692eaf91,
+    0xe616a5d5, 0xdc27ff32, 0x24e08a73, 0xa7875f04, 0x45382778, 0xcc829503, 0x8549850b, 0x809ac456,
+    0x28cc40df, 0x5dce15ea, 0x7d491f77, 0x4d3543a3, 0x220954ae, 0x95b4407c, 0xb66fb802, 0xa69aecf4,
+    0xcd43a362, 0x60cebfe7, 0x18d18afa, 0x3adda771, 0xc761b926, 0x3058b713, 0x74f66e5c, 0xb9555cb5,
+    0xe5394711, 0xf3dc97bc, 0xf27498bb, 0x132db9ca, 0xa5e8c08c, 0x6bc4654c, 0x9cfc2abc, 0x3f6f6cd0,
+    0x4e9825e7, 0xc9560d1f, 0x14b00791, 0x41104250, 0xc3d1475c, 0xc27522f9, 0xa0c04b92, 0x694fbf6b,
+    0x565b19ae, 0x842e614e, 0xc6223620, 0x6678cee5, 0x44fb61c2, 0x775c09f6, 0xdf921c22, 0xa2957314,
+    0x20524d15, 0xa4915e5f, 0x1fcd442e, 0x6fe36f0e, 0xad5dfde1, 0x26f88360, 0x8253960e, 0x8d3e3c63,
+    0x9c11f7b6, 0x10d2146d, 0xa1312028, 0x66bab4ca, 0x22005332, 0xb1c314da, 0xda2dcadd, 0x3c1155d5,
+    0x163c1b58, 0x1c3b6577, 0xb7a4afef, 0x9eeee726, 0x10e27027, 0x6bb13452, 0xd975bc94, 0x15371896,
+    0x0b09f64d, 0x21066e76, 0xa20d0f92, 0x58c53134, 0x0ac5d05c, 0x31443599, 0x81fac34a, 0xe5c008b8,
+    0x28687539, 0x324b1344, 0xc0b2a375, 0x7165a9a7, 0xc05c2f2c, 0x08d31435, 0x36eae8f0, 0x6b53e2a3,
+    0xe3bdd4c8, 0xb3a3f39a, 0xb142dfbd, 0x68578ddd, 0x61c495a2, 0x81444815, 0xd64ac53b, 0x8ce986d3,
+    0xaafa3396, 0x4e2da2f1, 0xf50c0ba9, 0xcf7e0229, 0xce1b7a67, 0x51b17dc4, 0xa40e9e46, 0x905e27e1,
+    0xdba1e2a8, 0x93f261f4, 0x1d6586cb, 0xea9b954b, 0xdde2e400, 0x62b22990, 0x2f222ff1, 0xcefbd3c2,
+    0x0dddeb56, 0xe549013c, 0xfe004da1, 0x736a9880, 0x8c1806f1, 0x0b3b452a, 0xac6e2bcd, 0xd23070c2,
+    0x0efa6902, 0x94951143, 0xd05a3de9, 0xf3a754ae, 0x8a9e14cb, 0xfaf344f3, 0x90a59b11, 0x8515a14c,
+    0xd00b428e, 0xd30f4dc5, 0x4928971e, 0x37a8f434, 0x016f943a, 0x1b28194c, 0x395faccc, 0x289bd233,
+    0x3d3aa3b9, 0x6a979b59, 0xcb07f5b8, 0x4816b4db, 0x32fa7dbb, 0xf005554a, 0x80a880a4, 0x11ea7860,
+    0xcdfcaa01, 0x7c4bc031, 0x4d4821a5, 0x0daeae5a, 0xd55f9002, 0x53251c1f, 0xaf094197, 0x4b6cac06,
+    0x09fe6bf9, 0x2d00cf50, 0x18339e29, 0x77673adf, 0xc014c3c3, 0x0fb86d22, 0x1b36ee98, 0xbd0b0c08,
+    0x0f71ba41, 0x2233f14f, 0xfdcf8566, 0x24cf4e02, 0x5c283983, 0xcc7dd532, 0xa42f195a, 0x75caf349,
+    0xa738776d, 0x4fae9d43, 0x47eb8d1c, 0x81d67e46, 0x5cea8046, 0x9911471d, 0xa3a8f972, 0xf7532b4d,
+    0x6f62e329, 0x8732b60d, 0x759c255b, 0xbf4073a0, 0x0969a8ad, 0x0fa071e0, 0x1ce967ce, 0x32520860,
+    0x6d4d163a, 0x12b5845d, 0xdcd04e92, 0x289730b0, 0x328912c1, 0x7f2ed951, 0x9dc70e2f, 0xea89b701,
+    0x559bde9a, 0x8d0d3c42, 0x438e01c1, 0x08351ebe, 0xa488af1e, 0x4c517c22, 0xb87cd387, 0x8ecd970b,
+    0x99f227cc, 0xd4dbd3c0, 0x57e31779, 0x91c7f74e, 0x4568244d, 0x3de40e34, 0xf4696c9f, 0x67705576,
+    0x6b5ca9d7, 0x4313dbd9, 0xd43b2ddc, 0x5ded090d, 0x9cfd0585, 0x693068f4, 0x83ed6178, 0xe5da603c,
+    0x1caf7383, 0x74a36398, 0x65a6fe08, 0x2d16421b, 0x12f3c7b8, 0x7919fe31, 0x718cc31e, 0xd0ca53cc,
+    0xe1743af3, 0x70a7323c, 0x2b570f4b, 0xf18f6522, 0x33b945e6, 0xbcf217a0, 0x9b6f3760, 0x9d8ea15a,
+    0x8f8e4ed6, 0xa17f05e0, 0xc38f6e01, 0x0e80c953, 0xf2f26a8e, 0x5fd1f7d3, 0x079a26c7, 0x4be55c2e,
+    0xaa13d4a9, 0xf070ced7, 0x50869527, 0x284ea705, 0x68424034, 0x1c8c2816, 0x538ac8dc, 0x4e726beb,
+    0x43e8ab51, 0xb072dad2, 0x34157cc6, 0xcbc23c04, 0x0fa6009b, 0x235c26a2, 0x277643f4, 0x35168210,
+    0x0d5c1561, 0xebd29cf9, 0xa1e39349, 0x03808dd5, 0x197e099f, 0x0e1531f6, 0x56eb5899, 0xcd277373,
+    0x97819a47, 0x959fe2e5, 0xc451f393, 0xe597bd2c, 0x35cfd1d6, 0xadeba311, 0x3240c2d6, 0x04ed54c4,
+    0xb26575a1, 0xa452389e, 0x7f1bab7a, 0x2e164893, 0x7306208c, 0x080e981d, 0xeeb5cb3f, 0xb8af5969,
+    0x0a628e9c, 0xd5257fe6, 0x9d641358, 0x1634ea09, 0x2cff9940, 0x067b3549, 0xd6c25253, 0x8640e376,
+    0xc5a3c59e, 0x5c17f6ec, 0xb7af4ccf, 0x8a6e6f0b, 0x8adc12ca, 0xa87754bb, 0xcde641cc, 0xb8dc444a,
+    0xd2e6e8fb, 0xfdeae3c1, 0xcfcaabc2, 0x0138aa77, 0xea0770dc, 0x2fd885e4, 0x0cec2ca7, 0xf20d5dc1,
+    0xcb2bf971, 0x25a50c86, 0xae91efe2, 0x5d178271, 0x2a26e699, 0x40798833, 0x553dd5af, 0xf31ea3cb,
+    0x61d310b4, 0xdf3a790b, 0x41f2c3d2, 0x4e2036a7, 0xb46eadf2, 0x9445d55d, 0xa524ee5b, 0x2486d3e2,
+    0x64a38b52, 0xf1c464d2, 0xad7b4357, 0x0458b36f, 0x49f05a49, 0x5e8b7ec7, 0x4b6db9dc, 0x38e84af8,
+    0xd5be69b9, 0xd06b93e6, 0x989c7dc4, 0x9cf01e72, 0x01003c9d, 0x76622e74, 0x7928cddc, 0xe534248f,
+    0x34970192, 0xf39a8fa7, 0xb6061b89, 0x1ed2359c, 0x8f6da833, 0x54204047, 0xabb60c90, 0x952dc222,
+    0x7c861b9e, 0x4dc10aca, 0x90128d56, 0x6ab8a152, 0x54d1c23f, 0x63cd4659, 0x5be9e352, 0xace20bf0,
+    0x877b0098, 0xaf77598d, 0xf771e0d0, 0x9e7493ca, 0x9033a763, 0x81732c9c, 0x521478e9, 0xf1bea397,
+    0x4f42170d, 0x06eae0c3, 0xbee8470d, 0x3a9c21ed, 0xa02b3010, 0x3272d25a, 0x44c974d9, 0xbc05d437,
+    0x8959c2b1, 0xd916ab11, 0x76928de9, 0x972b5b62, 0x830847e3, 0xb769c1da, 0x73fa73de, 0x15c4f1de,
+    0xf037f91a, 0xaa524e0b, 0xa88675af, 0xa1c02f96, 0xae070df8, 0xc20130cd, 0x718a4e00, 0x7d069d5f,
+    0xf798f4cb, 0x734d5419, 0x413df6b7, 0xe1e9abd1, 0xa9c91162, 0x2a96c306, 0x9fa9a81b, 0xc69a92d5,
+    0xc0304cc4, 0x8089d1de, 0xc096e865, 0xcd3538fb, 0x6e821e97, 0xae286c48, 0xf0affecb, 0xbdfbe47b,
+    0xa4f9f42e, 0x8252e1dc, 0x7c1ef6c7, 0x559ce687, 0x35716444, 0x35065d10, 0xf7aa0106, 0x8c278207,
+    0x399a4ca8, 0xc943c2c9, 0xc86f58e7, 0xb66edf76, 0x1c9f95ee, 0x7a105257, 0x6cb7f8ca, 0xaaa567dc,
+    0x8f05c29e, 0xaa81853e, 0xa7b7b35e, 0xe3ee8b65, 0x91efe175, 0x4182503b, 0x7ca5d492, 0xeb1648e7,
+    0x7ae6aa3e, 0x6d57e049, 0x1cd8c2e8, 0x1f7ad69c, 0xb9d2f83f, 0x827f9747, 0xcdb7f522, 0x0a1d95c2,
+    0x58fd44d8, 0xe2c23bca, 0x534654a3, 0xa7eab2ec, 0x7aa9287b, 0xe97609e6, 0xb7f08ce6, 0x60b408ef,
+    0x471ad0d5, 0x1c36062d, 0x2e2c8e63, 0xcaf78ac4, 0x879c201e, 0xb85a5261, 0x02740283, 0xf67c5bb8,
+    0x130d680e, 0x4bf86e04, 0x0c8fee5f, 0x79887613, 0x186d707f, 0xfec24b39, 0xf10d604b, 0xf777a537,
+    0xfebbc9a6, 0xd6925e6a, 0x1b8d589d, 0x050f7381, 0xf0f509cb, 0xe3518950, 0xacd8ef18, 0x935827ac,
+    0x943f6bb1, 0xf767cc5f, 0xf630fe4a, 0x08dbeeb2, 0x57ac2422, 0x118c3d64, 0xdcd6f31b, 0x74549490,
+    0xca7d4fbe, 0x725f885f, 0x802a6ee0, 0xf1b7c8a8, 0x39436ad8, 0x71018897, 0x07f9d8b4, 0x1786af55,
+    0x3f5c8ffe, 0xeceed8d4, 0x68707c29, 0x1ac86e55, 0x6e0ba7a7, 0x3fddd834, 0x19872da8, 0xd45c933b,
+    0x9b91bb25, 0x1206f5fb, 0xde1b4aa9, 0x5625ccdd, 0x28de9997, 0xbce8374f, 0x62ac2a3b, 0x3c6b26ee,
+    0xa9bd210a, 0x5e56dde4, 0x3f6eefd8, 0x35b10bbf, 0x21bd97f2, 0xdf6aeb7b, 0x4020805e, 0x71ca00e8,
+    0xda6ec872, 0x1ee9bbe1, 0x0d8d2464, 0x7a5ef165, 0xe2071638, 0xd5fba4b6, 0xa0c026f8, 0x8750b2ff,
+    0xb93e2868, 0x2749ba13, 0x7bfb6457, 0x48c67248, 0xb7018e14, 0x16ff6e2b, 0xab64db96, 0x50305cd9,
+    0x4f76fb97, 0x241e4ab9, 0x308d0296, 0xca28adc5, 0x8352c050, 0xf2dd6810, 0x3ba63b0d, 0xa8bc856c,
+    0x9244ed1d, 0xfad7e9bc, 0xbfdc1d4a, 0xa5341983, 0xe107db2d, 0xb5cda103, 0xd550fb6f, 0x01806404,
+    0x84c0eb5a, 0x54258f60, 0x35796ca8, 0x6a28e07b, 0x96c7846b, 0x14d5a5f9, 0x6f53478f, 0x12804c24,
+    0xcd7fa9b1, 0x90f8f329, 0xc67bdc72, 0xf722e73d, 0xdf83c184, 0x795327e1, 0x71d1d82c, 0x6264d383,
+    0x9263dde5, 0xa602df84, 0xdb233eea, 0xda3abc4c, 0x0d4fb776, 0xb5cbfe63, 0x8b5678b4, 0x64c62e23,
+    0xeaca914d, 0x3ea3968f, 0x239ac924, 0xe6289fc0, 0x78e9733b, 0x0d4b97da, 0x209a4c16, 0x3eb647d6,
+    0xcf30fd80, 0x9a29d761, 0x8b0886ca, 0xbaa2321b, 0xcc763309, 0x5e8bc98e, 0x31dab5d9, 0x38720ce1,
+    0x4cc505fe, 0x00b09e95, 0x805204e0, 0x1beed191, 0xd628845b, 0x7d4b270c, 0xdf384c37, 0x5c1386c2,
+    0x1de02d8b, 0x2e48b56b, 0xafbed43e, 0x2eff94ba, 0x20351ed8, 0xc75f050d, 0x32ac7482, 0x0c87adde,
+    0xc090e819, 0x37f6409e, 0x585122f3, 0x40061ff8, 0x667f9051, 0x21ec91c4, 0xed6beff2, 0xa47ea4a5,
+    0x00000000,
+    0x5ee48055, 0xd0bd6143, 0x4beab63a, 0x51f3a3e2, 0x50fde9dd, 0x7859d066, 0x6ac8082e, 0x3ad4e91b,
+    0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000001732918558825509287236508865089427314647773172109885\
+                         35948154973788413831737851601439998400381508723631086950685087723239310884864 */
+  { 0x00000000,
+    0x0cf8d8f8, 0xd72425a2, 0xc8e4c336, 0x3dfbbe45, 0xf315fded, 0x055a07bf, 0x3c53e260, 0x002c0c40,
+    0xd7768879, 0x8d37815a, 0x9bc74471, 0x439bdaaa, 0xc3b1c760, 0x298c23a5, 0x8436e0b3, 0xc1a51337,
+    0x766675d1, 0x29b569aa, 0xa689f7fb, 0x689d9854, 0x590cf946, 0x6746b217, 0xe6c30854, 0x743f83f0,
+    0xc6c0e1f9, 0x330fe728, 0xf787128b, 0x67b5d9b3, 0x3ed4cc02, 0x25a3cbed, 0x5253d24e, 0x6d6c83ba,
+    0xd4b99b4e, 0xabefd190, 0x03ae54d5, 0x8295ba36, 0xf5a9bf47, 0x0f84a1b8, 0xddc2de5e, 0x30232cb7,
+    0x6a92075a, 0x4a2d9371, 0x88fe2f6a, 0x1dbf5777, 0xbb35ccef, 0x9ab18390, 0x5c764ce2, 0xa3d1a321,
+    0x3f296b0f, 0x5be6d451, 0xb4323900, 0xda0e3788, 0x908e6ae9, 0x67fe5665, 0xa3c30047, 0xf47fe2f3,
+    0xd86dc511, 0x8a22fa85, 0x35528ace, 0x50775733, 0xcd1e9331, 0xa10eed2c, 0x3fc4421e, 0xc44eed57,
+    0xa7a05537, 0xe6d586a7, 0x7c9d5f56, 0xa86af640, 0xb5401868, 0xf9ac0855, 0x6466afe4, 0x191ee024,
+    0x83d4c206, 0x500be470, 0xf4236a1a, 0x43060acd, 0xfea7a7e4, 0xbc25e5dc, 0x00d29a0d, 0x19ba1e4c,
+    0x9e526a39, 0x1b319791, 0x575ad210, 0x0882d7de, 0x825c0bff, 0xf71e9bfc, 0xd3befa38, 0xd3c16441,
+    0x2b25d585, 0x259d136a, 0x4409dac9, 0x20d5ca37, 0xf268eba5, 0x1142e5ce, 0x12572272, 0xa24b753c,
+    0x953db220, 0xba756e57, 0x2cbab5fe, 0x4fbae969, 0x51725757, 0xfd41ebac, 0xd3bbd491, 0x086918ca,
+    0x32a04ef7, 0x40bc1822, 0x8178f5bb, 0x19470809, 0xe5285b3d, 0xfbb2c095, 0xbf548a70, 0x64bf068a,
+    0x2b6b64cf, 0xf0dead03, 0x7d561efc, 0xe460d99f, 0x45bacb57, 0x93e8e95c, 0x7fe8174a, 0x5ffbd161,
+    0xba7211f2, 0xfb06e097, 0xe5a49fc6, 0x0697403c, 0x4d1877aa, 0xd19ab031, 0x6739e1c2, 0xc054c04a,
+    0xa0c35ca8, 0x14c3480c, 0x4e2c7d56, 0xd4d57ce3, 0xe59611fe, 0x2ed31d8a, 0x71b50285, 0x844e3e48,
+    0x98e2fec1, 0x74350032, 0x122e6b56, 0xd49fc4bc, 0xa205b0c4, 0xc7769ea6, 0x1f1ace49, 0xa53cbd24,
+    0x9c2324df, 0xf3afacfa, 0x9ceddf58, 0xafff123c, 0xa7b9a646, 0xbf8c1558, 0xe85df34c, 0x0d8fb44d,
+    0x25e36b2a, 0x6e0575f1, 0x493d18ec, 0x9a70608c, 0xd48d5080, 0x9ff9086c, 0xefbfcaa9, 0xdb209489,
+    0xe39c2df3, 0xd1ff6e28, 0xb3cbd7a7, 0x1b908a66, 0x37ecd8ad, 0x7f009f0f, 0xab34b27d, 0xea07c375,
+    0x5008753c, 0x399fce17, 0x532967fb, 0x8f202ab3, 0x1e6cdb54, 0xac7922f3, 0x28e5f716, 0xbe4647fc,
+    0xeadb2968, 0x4a6e3ccb, 0x62ab5325, 0x73c6be08, 0x55c59f48, 0x6ba5f7b5, 0x3d120a93, 0x88c26280,
+    0xa24d37df, 0xdbb20f45, 0xf4bf0e83, 0x9c6a69ee, 0xf4beaf30, 0x6660c2c4, 0x733014ab, 0x26cbf363,
+    0x96d3ea44, 0x6a66d8cc, 0xc5a757e4, 0x0a62b47f, 0xd0a81d66, 0x89b04d28, 0x8476af84, 0xd53aa5e5,
+    0xef441a9c, 0xadc84f34, 0x58441516, 0x937212e8, 0x07dceb73, 0x2998325f, 0xb867927c, 0xc3e8f48c,
+    0x12bf5b82, 0x5bbc95d7, 0xd6570692, 0x62ec8f4c, 0xebd3235b, 0xa63ddb22, 0xeb8b6f4b, 0x7b305b3c,
+    0x32d4c324, 0x3323d5bc, 0x6db855f4, 0x8f5c76d0, 0xaa50b958, 0x9b016936, 0x9fdbb166, 0x8a62824a,
+    0x3de48de5, 0x1b720539, 0xefb8298f, 0xa32dabcd, 0x5aa3cc3d, 0x3d58c492, 0x656526cc, 0x0d0d1c1c,
+    0x48957337, 0x8323fe98, 0x0f1d4861, 0x82b5b604, 0x5239ab1f, 0x5238f3ea, 0x8dc1b36f, 0x4065a694,
+    0x0ab744ee, 0x81ff4999, 0xa761e16b, 0x70ba81ab, 0xd33fe4c0, 0xe52cc5c0, 0x11fd9d1e, 0x84e92399,
+    0x2b736953, 0x3ff8c82d, 0xbcb21750, 0x08c059bd, 0x4a0e783b, 0x61e8436e, 0xc3481d91, 0x991e217b,
+    0xfebb1b5e, 0xb52533b6, 0xb8b65de2, 0x1cb61e8e, 0x8211276f, 0x3975bf15, 0xd5d38625, 0x0134736b,
+    0x1e985a08, 0xea6105ac, 0x6b958c5a, 0x0049df9a, 0x794bbebb, 0x83a9fc4d, 0xb02fa467, 0x7cc32836,
+    0x6a5f3b01, 0x0045fa72, 0x98e36db7, 0x374f7a2b, 0xb8fa2312, 0xc795b168, 0x91d3b22b, 0x93c03416,
+    0x3b097672, 0x4ac3da1a, 0x55c1468a, 0x81dfde15, 0xcaae865b, 0xb534773b, 0x72d5682b, 0x16f36731,
+    0xdd69d4f9, 0xd418cc02, 0x2bcf9d3f, 0x518fe9f5, 0xc89b8dc3, 0x65378c8c, 0x62352be3, 0x2917c1b3,
+    0xd14fd0ba, 0x409f25b8, 0x27e253a9, 0x3a3dcde4, 0x658d2a0c, 0x797d2e36, 0xa43d9198, 0xc36a2190,
+    0x5c7940cf, 0xb63ca023, 0x164d7c90, 0x9eece469, 0xfece980c, 0x572b6afe, 0xe4a6be0a, 0xde027e6f,
+    0x23fbad17, 0xa572300c, 0xb84e00d3, 0xe1e3349d, 0xa35043a9, 0xf7c21ab8, 0xa05a0a1a, 0xe6032421,
+    0x1fbab34e, 0x92568e84, 0x89717bda, 0xcdc2d58c, 0xab4471f4, 0xbbd46dd1, 0xf03adbef, 0x619fb635,
+    0x672a133b, 0xd22e7cd2, 0xaf44299b, 0xc5e5903b, 0x29bc0c1c, 0x71625cb9, 0xe9550655, 0x45a0f1bc,
+    0x5caa3b49, 0x876ce39c, 0x162cd64c, 0x0db3a05c, 0xc61cc355, 0x8d930aff, 0xb18a83ed, 0xbc1ee21f,
+    0xb7838447, 0xe9fe47f5, 0x4838dc77, 0x57b38a2b, 0xce4e6f65, 0xecbc5330, 0xbdaab3e6, 0xd4c32988,
+    0xe04c6e10, 0x468bbac6, 0x67aa8ce5, 0x58797c21, 0xb80ee23a, 0x416d9fe7, 0xb2e672c5, 0x5c0f0e51,
+    0x783da64b, 0x9b728252, 0x02182d11, 0x370ebd0e, 0xb00b499a, 0x15f429b6, 0x64798455, 0x9b91fcbf,
+    0x981719b4, 0x64475097, 0x539d6d7d, 0x3e21e2e6, 0x53c5bd0d, 0xa9e6847b, 0x2e680084, 0x7475d91e,
+    0x12135c54, 0x6aa54349, 0x96dd013f, 0x8a0b0340, 0xfc9fea82, 0x71265ca8, 0xc1dc3105, 0x466f5602,
+    0x61e705bb, 0x7157e5dd, 0xdb6b0805, 0x02d521bb, 0xcc912129, 0x73624a23, 0x5e16cdeb, 0x00986023,
+    0xb0804666, 0x0107a939, 0x1b630ccd, 0x14bf1023, 0x13168550, 0x66d3aa20, 0x14a80bfd, 0xd36cf49f,
+    0x66405859, 0xdc6de050, 0xbde82cc0, 0x85663941, 0x995b0f67, 0x7d0a2359, 0x015a2de2, 0xe73260c7,
+    0xc65fe3a2, 0xdb229c2f, 0xe64a6464, 0x8514ab5f, 0xd84c3d33, 0xfe22eab9, 0x18a177d8, 0x58bece81,
+    0x4130bdd7, 0xa619b8b5, 0x5b802ab8, 0x13b491df, 0x8b0a63c2, 0x3fd468ff, 0xc6064837, 0xde44cc89,
+    0x4f634a2a, 0x549c4506, 0xad6fcd68, 0xe6f77edb, 0x92131abd, 0x036146d1, 0xe7a81039, 0x7183fddc,
+    0xf9c989b5, 0xd8055343, 0xa63f270e, 0x5cde56c5, 0x670ccd2a, 0xda63c2f1, 0x634b9564, 0x88eaacd3,
+    0x6149fb31, 0x5ae15eb5, 0xd632c0e0, 0x41a38e20, 0x7a0edef6, 0x6e579ad7, 0xb1818de1, 0x20a32847,
+    0x4869e4be, 0x809b4b91, 0xbd466146, 0x3fd4345c, 0x46cb2277, 0x44eec221, 0xaa9d4ed9, 0x35a48fcf,
+    0xc8f60bbf, 0x30f9c083, 0xcd8a14e3, 0x10ae6630, 0x99df33ff, 0xbcb831e2, 0x2305b089, 0xc3f14533,
+    0x854855df, 0x078a8758, 0x835dfa74, 0xf57a3d5a, 0xc9f0ea00, 0x211b38eb, 0xf4048756, 0xd0581043,
+    0x967e7305, 0x188a553e, 0x4804fcf4, 0x0d035bc7, 0x73c38d68, 0x3e3a3450, 0xefe73896, 0x35373f49,
+    0x895d6364, 0x833705ac, 0x0b57d819, 0x6d685249, 0x63aaa1b8, 0x413fb747, 0x2eeca832, 0x1207734d,
+    0x7f8f3935, 0x46158b33, 0xbd9bdef1, 0x47627403, 0x4b242070, 0x530687c9, 0x941e9c94, 0x2f064952,
+    0xff53e6d2, 0x0835dbb5, 0x23e4621d, 0x5d0a21e0, 0x90174b28, 0x26f50f79, 0x40437577, 0x9f0bb39f,
+    0x06c4ede1, 0x47d2ab82, 0xc10526d5, 0x7d315c3e, 0x6726dbdb, 0x84689eab, 0x9815b29a, 0x6dea85f4,
+    0x55cd4ff7, 0x811f9758, 0xef67cd03, 0x5c69d592, 0xd9955529, 0x5d8fff61, 0x43078b51, 0x904b2a5c,
+    0x469e86ad, 0xc439a91f, 0x44cdb8d7, 0x7de0f3d9, 0xea763d68, 0xa7224ce4, 0x38e8fc54, 0x92a1147e,
+    0x60014a13, 0x51bd6890, 0x23001942, 0xfcc9f3e7, 0x322413b6, 0x3eb82858, 0x0fd42f2e, 0x6c20235c,
+    0xfe2cf35c, 0xdb241e15, 0xc0f3dde5, 0x06512fd9, 0xeea9001d, 0x6d482b94, 0x2a11ba5c, 0x2172cfaa,
+    0x2455aba6, 0xc84de303, 0xa001cfac, 0xfb838eef, 0x22e7b64f, 0x3815ceb4, 0x3ccd388a, 0xfae45961,
+    0x1c3cd1fa, 0x0e8ba057, 0xfa9bf5a4, 0xbe8cb51d, 0x0a181dee, 0x47daab55, 0x5ce26d4b, 0x5d55d98d,
+    0x5505df1d, 0x69dd4b58, 0xf9be7d87, 0xd141933d, 0x51bf7656, 0x91ef0a4c, 0xf08fec6d, 0x1cd7ec36,
+    0x8be4439f, 0xb05863a5, 0x4e52a2e5, 0x995158f8, 0x7029255a, 0x057e6282, 0x6c8eef36, 0xe154f877,
+    0xbc06d273, 0xe1381e60, 0xca24deef, 0xfa1e806d, 0x8e47d077, 0x8ac5809e, 0xcac638c1, 0x483f2968,
+    0xe607753a, 0x1df0d259, 0xc1e304e0, 0x59305da6, 0xa7ccfd7a, 0x8b96d15e, 0x19809cbc, 0x2f3338bd,
+    0x4cac0269, 0xcf5890b8, 0x171a7ed4, 0xcabc20ed, 0xf9f89f86, 0xb44fd8e7, 0x4a981c70, 0x0b2bc26d,
+    0x12b9c76d, 0xe3b33f37, 0xfeac32fe, 0xbb2deb66, 0x6e72b695, 0xb8d13406, 0xf87178c3, 0x438e81fb,
+    0x6db247d7, 0xfa320a6e, 0x65ab7d89, 0x544c45e0, 0x6b37d68d, 0x1a7d91d7, 0x81567cdb, 0x966d2fa3,
+    0x007e6ae0, 0xbf442346, 0x13b422f6, 0x8d7f5dfe, 0x6a2cca4f, 0xd65f5618, 0x6f3af5b3, 0xb3691b23,
+    0xb734515a, 0x1d4d94e6, 0x8bfc5336, 0xd3e5c409, 0x8362b8f7, 0xc3744fb2, 0x2569ba9a, 0xca32cc72,
+    0xa602cd98, 0x0a55328c, 0x4dbacd35, 0x4d4c83da, 0x50f9b1d1, 0x17614d84, 0x434f9792, 0xe9670c3e,
+    0x715b2404, 0xa5788cf9, 0x0053d303, 0x6e00d7c1, 0x98ba7e2d, 0x90542942, 0x85c20cc9, 0x0ec652ba,
+    0x2f9f1b13, 0x763a83f8, 0x9aedf706, 0x57f1b6db, 0x4e1a3acc, 0x8878661d, 0x058f041c, 0x1d76013c,
+    0xa9495b92, 0x98ce7957, 0xc31cd985, 0x5c811449, 0x79523ab9, 0xe9bf7dcb, 0x818666e0, 0xd87f5fb3,
+    0x145e12bf, 0xa303a6a5, 0x25cd52ad, 0x7bf57bcf, 0x78d4e4df, 0x7ab038a4, 0xbf38492a, 0x8ef6c0a4,
+    0xcf66b73f, 0xebe1b4ea, 0x5eddb3a8, 0x1bd76320, 0xa9aaa161, 0x80320cde, 0x5a428fd6, 0x484a9232,
+    0x60e0dddc, 0xca1678bf, 0xbf509274, 0xc76fd1a0, 0xe21262c1, 0x0c393364, 0x66444161, 0x624437d6,
+    0xd8172920, 0x50621388, 0x9a337d2c, 0x6fb2b10d, 0x5db7f83d, 0x26d6049a, 0xc00588bc, 0x21e86b37,
+    0x2fdea46f, 0xe4029d0d, 0x61df0b22, 0x7c724f62, 0x826af9b3, 0x27454525, 0x20ddf0fb, 0x1091ed8f,
+    0x2f03cc21, 0x6964a584, 0x64d1157b, 0xc3d0475d, 0xcdbad26f, 0xeccce00d, 0x6e90a8d7, 0x86270db9,
+    0x3d4eb361, 0xeeead18f, 0x1412a203, 0x7cced136, 0x381804ea, 0x44b7f610, 0x7963650b, 0x4facd43d,
+    0x1eaf8c09, 0x498bcbbf, 0x30dbb188, 0xbe31fb58, 0x81ec8c92, 0x03a2662a, 0x5f6a3092, 0xfe6b2c04,
+    0x1195ae22, 0x1f04ff6d, 0x4bd1bcb0, 0x30ae54f4, 0x6cee56c9, 0x379177c2, 0xe2a77a68, 0x6f8bdfa3,
+    0xf77406b7, 0x4d3c421e, 0x0dd53c1a, 0x81fc6fb4, 0x0a7e71d0, 0x574bd581, 0xc9f74f22, 0x7448bc7c,
+    0xfa6a0b1e, 0xa2688e2b, 0xb8d38061, 0x61951632, 0x0ae72d81, 0x2ca70570, 0xcdbcbf47, 0x81f5fbcd,
+    0xa25b479e, 0x5a775c26, 0xbbf6f7f5, 0x01e2cec7, 0xcc01a1aa, 0xfb9ace49, 0x831f9180, 0x4ef1aa7a,
+    0xdac6a538, 0x2d276643, 0xb57af9a5, 0x9208ae48, 0x03b9195a, 0x4d016845, 0x40e2c89e, 0xa8699c9d,
+    0x41fc8503, 0xefeef5d3, 0x94b1faf0, 0xcab783d7, 0xa9a7cd57, 0x41dc5429, 0xab349456, 0xeaecb587,
+    0x28e30347, 0x088c239e, 0xefebf11c, 0x6f695ec9, 0xb554902a, 0x5d486e33, 0x4135dc04, 0xca579c59,
+    0xf4a4dce0, 0x08a793cd, 0xff7a20d7, 0x4048cc1d, 0xc0550259, 0xca6a8763, 0x94c7a3aa, 0xbf4e04b5,
+    0xb2a26d06, 0x1b38b719, 0x1c7e2b73, 0x964c1859, 0x5997e497, 0xa23793a8, 0x50231041, 0xc7d916d6,
+    0x02f7f9ae, 0x9a476552, 0xfcd62db0, 0xd251a106, 0x499c6670, 0x50733708, 0x72a15a1b, 0xad23bfc2,
+    0x1df6c262, 0xc207bd60, 0xf2ef5b9c, 0x6df9c0c6, 0x2e926d4f, 0x08598645, 0xb872360a, 0x427ede9e,
+    0x10245085, 0x8dabacb2, 0x4c75cc87, 0x1e6f9ac3, 0x0c16de12, 0x17db46d9, 0x0138949b, 0x24a3fe94,
+    0x3f002377, 0x9d15a333, 0x9a229fda, 0xeb144799, 0xf384719d, 0x8b5eb68d, 0xdab19a3c, 0x8cc9563d,
+    0x5e4a6fda, 0x3a825ef7, 0x799d6b5e, 0xe93d060f, 0xafc8e209, 0x60501db6, 0x4191ce33, 0xc68a1ab3,
+    0x67ed9c5e, 0x7b8aedc3, 0x0dee1a2c, 0xec1ef58f, 0x162221ba, 0xd903e414, 0x09a2e6cc, 0xd2a97f9c,
+    0x40b478e4, 0xfc438c79, 0xd152f601, 0xcfa6a80c, 0x1487013a, 0x745f6937, 0xbd37aba3, 0x54022721,
+    0x26b5617f, 0x1b94ce31, 0xffcc03bf, 0xee529744, 0xea98f078, 0x47659e7f, 0xb75314d4, 0x3934a13e,
+    0xcd77140a, 0x89ec2e23, 0x08f8698f, 0x7539c342, 0x410cf054, 0x4dc6cd1f, 0x31a2ed7b, 0xdc548cdd,
+    0x3f8ad342, 0x50b52805, 0x5a10810a, 0xce9e5547, 0x7c765d41, 0x9dc33805, 0x49a35e6b, 0x3952ef3e,
+    0x35f81e8c, 0xf530a533, 0xd698d559, 0xe85ebff2, 0xef79c38d, 0x995c78d7, 0x5dd325a2, 0x2b9c4068,
+    0xa4411e3b, 0x3a14b902, 0xcf601c00, 0x18ba1ab7, 0x27983812, 0x4950c1c3, 0xcee1cee4, 0x3a2e53ec,
+    0x80ad086f, 0xca964112, 0xe9704b23, 0x94af39e9, 0xf7949f0f, 0xdcc80116, 0x3713ec32, 0x53f16b67,
+    0x56c379a5, 0x99a72aaa, 0x5b24f93e, 0xbed72de3, 0xb9adc1cf, 0x8357bcf9, 0x5eded975, 0x2ca9c435,
+    0x0049d78d, 0xad9b6517, 0xa6013346, 0x6b7c1273, 0x937fda86, 0x09f758f3, 0x8481795a, 0x886e0f63,
+    0xf38ae93e, 0x1a7cd897, 0xf70b8020, 0x97624972, 0x93781517, 0x0f3834e8, 0xf68c7719, 0x4317ff12,
+    0x30edb113, 0x69db61de, 0xb314c3df, 0xd5beeebc, 0xb2ba74e4, 0x4bcde5b2, 0xa6b38540, 0x8d7b0f09,
+    0x77190dca, 0xfd97a2d8, 0x3b359205, 0x0ac2e61c, 0xcea6c210, 0xef52c0e9, 0x5386087b, 0x7ac6013b,
+    0xdbe9b0a3, 0x0fd67fe5, 0xc494b533, 0xb60f8645, 0x628eb16b, 0x4637a51d, 0x13548ee3, 0x450391ca,
+    0x638acfa9, 0x827f5592, 0x092a0c88, 0xa5c0bf22, 0xc80ee8b2, 0x4c57c018, 0x55de361c, 0xef2ece71,
+    0x92b26d49, 0x6e9148e1, 0x429d14f6, 0x59254b36, 0x7d6677b5, 0xaee6f2bf, 0xdfa96663, 0xd0f0ed5c,
+    0x361f479c, 0x92d72563, 0x6c517b05, 0xff75d708, 0xdbeafc7d, 0xa5044a33, 0xd1146f12, 0xaf78383d,
+    0x950b2065, 0x1993967e, 0x0deda9f5, 0xc5987502, 0x1398da91, 0x2ab1b6f1, 0xda7f4f9a, 0xb8989a4b,
+    0x1953004f, 0xb79de451, 0xa3aaea9f, 0xb8ac302b, 0x7077465c, 0xa2e2e085, 0x2908e0e5, 0xd0bbb10f,
+    0xe182212c, 0x4a2e6f35, 0xf73cd769, 0x38d47363, 0x12aa3b27, 0x55459e96, 0x7130ba27, 0x76ff8714,
+    0x8d2fe622, 0xcd6eb17a, 0xdcd9b706, 0xd87ee55c, 0xa72ca905, 0xb7f821ee, 0x2cf942f7, 0x911ac1ca,
+    0x00000000,
+    0xaf72402a, 0x685eb0a1, 0x25f55b1d, 0xa8f9d1f1, 0x287ef4ee, 0x3c2ce833, 0xb5640417, 0x9d6a748d,
+    0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000866459279412754643618254432544713657323886586054942\
+                         67974077486894206915868925800719999200190754361815543475342543861619655442432 */
+  { 0x00000000,
+    0x0f7a9cdf, 0xe532527b, 0x0f136e83, 0xcb8f8f13, 0x5852d330, 0x4d644ab4, 0xec3ab5fa, 0x1e09ede3,
+    0xf2cd6825, 0x7da9855a, 0xd9b5dde5, 0x4f7497e6, 0xc094b353, 0x408077f9, 0x1591386e, 0x4dd69121,
+    0xc1b4626c, 0x8d0ad173, 0x3471a7e3, 0xa5f81aab, 0x9fc8e538, 0xb921185b, 0x269507be, 0x0dd3547e,
+    0xa6e7ebfd, 0xb2756dec, 0xdd16079b, 0x068fd776, 0x4d5ce85f, 0x8fd97694, 0xf182021d, 0x95f00e8c,
+    0xd567ba0f, 0x4c12aba4, 0xf2099885, 0xb041fd6e, 0x6045b1e4, 0x96a9d738, 0xabdb9007, 0xb2f37eca,
+    0xb6e8f1e5, 0x34ae52a8, 0x157137cf, 0xec5cabaf, 0x9e7a45b6, 0xc439b13a, 0x11ba94e8, 0x66951f8f,
+    0xaa467754, 0xee89b24d, 0x067a7f32, 0xb856f078, 0x51a985da, 0x1aa42ccc, 0xad8457c4, 0x3a38b60a,
+    0x38b04fd7, 0x499553f5, 0xd62183ab, 0x02ab975b, 0x91f46b51, 0xcdadbdc0, 0x12add0b4, 0x4dcc2b81,
+    0x12df36cc, 0x1b893b97, 0x35098a5d, 0xd583e546, 0x23ea8257, 0x675aae35, 0xafea541a, 0xc2753e97,
+    0xe517e60f, 0x9bd46983, 0xce0f0786, 0x41943350, 0x25701759, 0x2e3882b3, 0x866617ba, 0x360cfa09,
+    0x5a7b8800, 0xf2fe055a, 0x6dfed264, 0x12f3a8f9, 0xd6ff1ce9, 0xf8dddcc1, 0xca0a68eb, 0xec9ef897,
+    0x488f144b, 0x5e7216f8, 0x650ae670, 0x821c43a2, 0x5e6d9062, 0xa04631df, 0x0c80ffcb, 0xe9a942b0,
+    0xc337158b, 0x302e99c4, 0x162b1702, 0x206eaf3e, 0xafdcfa7f, 0xd16c5013, 0x740c5bc9, 0x45441173,
+    0x5a04aba9, 0x6b6d6978, 0xbe20b09a, 0x0015093c, 0x0c66b223, 0xee30cd5a, 0x8f8363a8, 0x3e4bdb7b,
+    0x07046001, 0x6b119653, 0x74f820ec, 0x04c66d64, 0xf38df631, 0x44306b1c, 0xdb261020, 0x12fcbd6c,
+    0xcd075c44, 0x31c2db74, 0x804b2309, 0xbca37e1a, 0xcd01bc42, 0x07c33e71, 0xedf3c4e1, 0x3f3c526c,
+    0x9ec1b5fe, 0x4ac2b563, 0x865c77c9, 0xe3209791, 0xe1cdda8b, 0x8dd5a701, 0x0675d9c6, 0x6696fb6d,
+    0x1c519083, 0x78ccd519, 0xe04d6bce, 0x879fd7a4, 0x4b2e9e09, 0xb08237a5, 0x1ba1706c, 0xec079e56,
+    0x96bf70d9, 0xe85b58a9, 0x5d702c1f, 0x8b615d73, 0x022e72ee, 0xd92b9854, 0x7634a519, 0x2fb0ec05,
+    0xbbfd777a, 0x7dd52749, 0xdf518b23, 0xb3bbd868, 0xa0e1ede4, 0xaef57abd, 0x355db6fc, 0xf3fb1315,
+    0x7ef2dbdb, 0xe2b86430, 0xebe54b7e, 0x6306a17e, 0x54eb1681, 0x41f4920e, 0x4a4164af, 0x5fd32287,
+    0x3ab6291e, 0xfa918e55, 0x43ed08a3, 0xf0b89e16, 0x08bc66b4, 0xf234213a, 0xc8c5f5cc, 0xc65a54c3,
+    0xa57d3725, 0xaa26b961, 0xaff1b106, 0x4368fcd5, 0x9a6f3229, 0xe499ca14, 0x65b2cdb1, 0x56faf53b,
+    0x584ecc66, 0x78ca8b67, 0x0500d083, 0x4d665c55, 0x570a1932, 0x7c006140, 0xe7ff64d7, 0x54498143,
+    0xc6a20d7a, 0x04b7be72, 0x3dcf91f5, 0x1ceca42d, 0x015415fe, 0xff849794, 0x10f5d5c9, 0x1e41e1d4,
+    0x4b3df43c, 0x1fd22055, 0xa719cabc, 0x322bce46, 0x06b54df1, 0xd970fb36, 0x542a6937, 0x465f3f35,
+    0x32e3fdcf, 0x301d581d, 0x51558a96, 0x45fbf454, 0x88b7295b, 0x0d683978, 0xed1182bb, 0xd9b78b8b,
+    0xee5ef2fe, 0xbf4de486, 0xfcddd899, 0xba19e710, 0xd11be3d7, 0x1e2b65fc, 0x9e9e3408, 0x40bf62ba,
+    0xb6c5179a, 0x2c31d499, 0x417af619, 0xd6e5e622, 0xcd41e1c5, 0x1ef57310, 0x72fdf651, 0xfb7fc520,
+    0x94202ed7, 0x6c402534, 0xd1c6e2e5, 0xc9e9815d, 0xb137c0cc, 0x6b27b34b, 0x8083eabb, 0xcef715d5,
+    0x2c3e9c5f, 0x07e7532e, 0xa98a49b6, 0xd1897d47, 0x5695f3ee, 0x9af71f0d, 0x88bc1324, 0x7e3a875f,
+    0xe94cd1fc, 0x9491dbbd, 0x09f2e6a8, 0xaf01936c, 0x29fc3c3b, 0x74331648, 0xce8e26d8, 0x60d25771,
+    0x7346eaa0, 0x19fae3b3, 0xb6a7a246, 0x072202b5, 0x45969de1, 0xa72eab8b, 0x24cb8493, 0x88490d09,
+    0xda383054, 0x743e2690, 0x44251714, 0xfb1ec14a, 0x1c243d36, 0xff2118c0, 0x2e8157cc, 0xaf0bf57c,
+    0xb0d76d15, 0x489f1adc, 0x49eeb386, 0x7d910e5a, 0x53a34442, 0xffe2c19c, 0xa6a1211e, 0x645befba,
+    0xedb0bb5f, 0x18c7fec7, 0xed0bbe60, 0x18e98618, 0x9d2148c3, 0xd4c0e697, 0x2cb73d5b, 0x157d1aa7,
+    0x797477d8, 0x845fcb97, 0xca7fbed4, 0x96210532, 0x36314bdc, 0xf271a08c, 0xedce3d4a, 0xc2db995b,
+    0x0774b7b8, 0xc0e80cdc, 0x7c4710fd, 0xe82f7acb, 0xf37510bc, 0x10a61bf8, 0x475a4305, 0xc7bba43c,
+    0x6a461c82, 0xe325a599, 0x0691a6bb, 0x32157829, 0x89871fda, 0xbe172e73, 0x4a048083, 0x11ac10ec,
+    0x36070d42, 0x727250ba, 0x43b7514a, 0x95968eac, 0xe13f4441, 0x4019e330, 0x7c9fdeb2, 0x2c8edb87,
+    0x605391f3, 0xc912fe13, 0x8f12d4ce, 0xe7328c12, 0xd316ab49, 0x247afe15, 0x08d2d443, 0xe187dda8,
+    0x0669bfe6, 0x6e5b91b0, 0x911983fb, 0xe444c904, 0x301505fd, 0x82431cc1, 0xf14d2cc9, 0x34c256f1,
+    0x863ac0c1, 0xd7a0cc5a, 0xee53f9ad, 0xd41fb21e, 0x88ba734d, 0x61412bd1, 0x2324c5b3, 0x2031a456,
+    0xde29553d, 0x469cf191, 0x3929f163, 0xf9e4cb07, 0x7841acf5, 0x17e6c925, 0x17a05b26, 0xf0ed6075,
+    0xa6b98fdf, 0x241e393c, 0x8bcd6674, 0xe26f90bb, 0x1e004ae5, 0x3ff47c7e, 0xa8971e5d, 0xc247c389,
+    0x2dc5e694, 0x9945740b, 0x3b90e285, 0xaafc7c2e, 0x469fc173, 0xfada5df6, 0x858411d8, 0x711f6d2f,
+    0x57752f81, 0x93aa36d8, 0xd49fa5aa, 0xd430671f, 0xff6d3a69, 0x811af0f1, 0x85614637, 0x9b3c5729,
+    0x0af7e245, 0x1ebdd296, 0x7728028f, 0x90c2f52b, 0x01fbe9e2, 0xb67034cd, 0xbbcec093, 0x173f1c22,
+    0x26f0ed86, 0x8744b55f, 0x5e152b8c, 0x6ea781ce, 0x19169e97, 0x1abac5a0, 0xea914acc, 0x83585475,
+    0x68947e32, 0x7e9e09dc, 0x7bc00d67, 0x415e9858, 0x88045f46, 0x53d61c60, 0xce44800e, 0x055e2126,
+    0x49a50fb8, 0x324213c6, 0xc55ba68f, 0xb58af872, 0x646bf1b5, 0xaff0bd3b, 0x375dfa51, 0x31713cb6,
+    0xf4f8d965, 0x0bbafb46, 0xe19c5d56, 0x8c399798, 0x12f50b56, 0xfccd95ab, 0xa3b66622, 0x5333f0a5,
+    0x629488b3, 0x7713e2af, 0xc69c9af0, 0x3f17c886, 0xa38548c0, 0xe46b6ca6, 0x9b2b8dc2, 0xd9cb49d5,
+    0x13e672ca, 0x4519a15e, 0x6499bc80, 0x21859c0d, 0xd62a5106, 0x59931471, 0xc1a405e2, 0xd73026c1,
+    0x54e2b917, 0x958b6bb4, 0x07a34382, 0xcd1ae691, 0x19a5bba8, 0x1a0ecc3c, 0x4262e649, 0xf64889d8,
+    0xe1b2cd65, 0xe6334003, 0x2fb5f25e, 0x7efeb363, 0x37a7ec70, 0xd4aa3e96, 0x0f0dea9a, 0xd5ce7540,
+    0x089f5d56, 0x718776d7, 0x1ca0ee2d, 0x225d0846, 0xbdebe63b, 0x7b667f59, 0x4fbebe42, 0x6e9db0c7,
+    0x7b22a110, 0x56f36451, 0x1b5a598b, 0xea9b2964, 0x1235e500, 0x5c5c4e2c, 0x0be92b76, 0x5def6c57,
+    0xc4dea6b0, 0x42056395, 0xfc4cfbef, 0x1bb6a017, 0xc7cbd142, 0x13c38703, 0x65e303d1, 0xe0d86f45,
+    0xbc155318, 0x7c021856, 0xf5829ec0, 0x6b7d2372, 0x00107058, 0x3613e3b3, 0x2311f996, 0x03bf2028,
+    0xf00dc522, 0x9320b360, 0x6bbdb5db, 0xbf0b64de, 0x29ad5d3b, 0x5a80f29f, 0x5e2a56c6, 0x4c10b06c,
+    0x5fe6ce7d, 0x1dad7836, 0xc299dc27, 0xfa20bf3f, 0xf25d7372, 0x2ec5a165, 0xd53de370, 0x91850781,
+    0x8a82e50d, 0x9ce72eac, 0x00b9b22e, 0x8e3c71a9, 0x76e23c52, 0x200122cd, 0x97066304, 0xe2bf28c6,
+    0x53fe0529, 0x6383d94c, 0x4b76c21a, 0xd51bb29e, 0x424914f0, 0x64d32f5e, 0xf651e489, 0x699d1762,
+    0xb0ad2666, 0x5d165908, 0x870afac0, 0x3ab65251, 0x51ec8b18, 0x3d4d1502, 0x9c79d30e, 0x9db9339f,
+    0xfbc289e1, 0xa67ec5bf, 0x15a21b76, 0x27a11604, 0x6a6dd31b, 0x282ee8bf, 0x9a6222ea, 0x8972e806,
+    0xc80de673, 0xefd9e2ab, 0x4e20fb69, 0x321d373f, 0xec672aec, 0x7da104dc, 0x3bfab963, 0x0d7105b6,
+    0xde555e43, 0x07db191c, 0x140ddc93, 0x84cef701, 0x2bad2176, 0x6f3d807a, 0x22b89ac7, 0x651fde94,
+    0x81f21350, 0x4dd19a87, 0xa721b41b, 0x614e7a78, 0x7d09928e, 0xbbb92c7a, 0xac66f8da, 0x64432098,
+    0xa2e616a8, 0xe136241c, 0xfb75b840, 0xcc628c19, 0x7144511d, 0x7c1bd49b, 0x471897d8, 0x0bf7000a,
+    0x2b903708, 0x25019979, 0x3e1f7a3b, 0xbce6eff0, 0xf05e924f, 0xccfc63e7, 0x6e588942, 0x9767e385,
+    0x86599ed9, 0xd01844ae, 0x68396918, 0x9e9cb3e1, 0x31f54c87, 0x28f53a29, 0x883d79aa, 0x08d0847c,
+    0x4de7b9dc, 0xf93ce508, 0xe5b30d77, 0x174ef1c8, 0xf249996e, 0x8cbc5940, 0x7f07764f, 0x03e75325,
+    0x50214d7d, 0x079744bf, 0xbb491f80, 0xe56c1912, 0x0c98c9d1, 0xe61e6d02, 0x5f3130bc, 0x07d81194,
+    0x524d7ee1, 0x34dc166f, 0xf339fe85, 0xe4668f91, 0x5281b94f, 0x4bb02aeb, 0x6bf142c1, 0x9f496914,
+    0x87fc6aea, 0xdb4588bc, 0x1d90efdc, 0x510388d3, 0x5857ebd5, 0xf9aa89f4, 0xcdb5be7f, 0xc065bda5,
+    0xc4891c47, 0x2aedd281, 0x9f0ce4ce, 0x79d6248b, 0x16dd4f97, 0x7e826742, 0xdaa7222e, 0x42a3e614,
+    0xefc0cd39, 0x760bfa82, 0xc0d8d9b7, 0xbd59e66c, 0xd9ccdb24, 0xe5923e07, 0xad4dc93d, 0x9bb3c4eb,
+    0x1115cec4, 0xee14e182, 0xdab275d8, 0x2f0b5316, 0x6128e5af, 0x75323a7c, 0xaf2946e9, 0x97861930,
+    0x167c0bee, 0xe0e68686, 0xd8e88743, 0x5439cc4b, 0xa780e643, 0xdb7e3218, 0xf8cab194, 0xc575645d,
+    0xde333ed2, 0x2f07bc31, 0x85992d1a, 0xc1edb102, 0x762c6565, 0x4a68ca37, 0xd7390887, 0xa9080a83,
+    0x9c2fe484, 0xe2b2c623, 0x869b5e01, 0x956f4f1f, 0x883c8573, 0xb56eec78, 0xb5d8a5bf, 0x5e5ad26b,
+    0xe40d0b59, 0xd2a613a4, 0x52605ce4, 0x3d34cbba, 0xb6b05e2c, 0x38ee1937, 0xd14b1604, 0x52259602,
+    0x2f8e4b04, 0x0f4dbbb2, 0x6426fdde, 0xfef14f3b, 0xbb5e0c3a, 0xd65be22b, 0xac0883ef, 0xb0533bd7,
+    0x2f7e6e41, 0xcdcf999b, 0x89eced48, 0x6b60b4fe, 0xb8d1a412, 0xa3ff653b, 0x33de6b86, 0x2ff43a35,
+    0x404fd2f9, 0x22e5e5f0, 0x433bcb74, 0x3e3266c4, 0xe85bbe1f, 0xc817406f, 0xae76333f, 0x6576099f,
+    0x103e9871, 0xe868ba68, 0x995381e1, 0xca17c5cb, 0x916ede73, 0x5a85b2e8, 0x7b7f4999, 0x814ddc98,
+    0x5cfa9175, 0xe45e928b, 0x075cc8bd, 0x2d770238, 0xffb17430, 0x4316ba66, 0x6cfd94b2, 0xf9492315,
+    0xfa746fea, 0xb1baa1c4, 0x7c8ff62d, 0x50049641, 0x4ede1dd3, 0x745fa02f, 0x99b10bde, 0x52e1dc54,
+    0xa90dbc16, 0xd6d47382, 0xfa9ec894, 0xea4bc257, 0x1c7f1ea9, 0x2ea76815, 0xddf590c7, 0x967229f6,
+    0x06fb33f8, 0xf8f3a327, 0xa4237d62, 0x64b6e86d, 0x263772ba, 0x242f81f4, 0xfb0b044d, 0xb09dde87,
+    0x78f2b701, 0x815af959, 0x378ecce6, 0x738e0464, 0x9ed358fd, 0x1e4d5a0d, 0x06ce6d9e, 0x6fb2f5bd,
+    0x557b8bf8, 0xc0ae7e92, 0xfb68b0c5, 0x09f70545, 0xe601a983, 0x07e96f1f, 0x3f6d09d6, 0x14644501,
+    0x382b9323, 0xa123079f, 0x0907b5bf, 0x1369d8a0, 0x3de40a51, 0x69ef0afe, 0x9a77b82e, 0x72f81721,
+    0xd211d583, 0x4db68c38, 0xd502f122, 0xcbcadc35, 0xb301d888, 0xa15fe95b, 0x3b4aadf3, 0x1c648637,
+    0x71e4eb08, 0x32408d7f, 0xfcb87e51, 0x4c7c0bf7, 0xfa26ea72, 0xa29de4c1, 0x1d84ed2f, 0x2f24aea0,
+    0x10a9f165, 0x35e6bf8f, 0xb7bef653, 0xd44de3aa, 0x2886da08, 0x8a26f9b6, 0x56e473cb, 0xa02ea342,
+    0xaecb0a47, 0x8480470a, 0x2832e3b2, 0xa994f7aa, 0xf58d028b, 0x09a1f8ee, 0xf7d52810, 0x90f4490a,
+    0xd88f2d8c, 0x283adae8, 0x47d7aa1a, 0xa9b45ff8, 0x7fa0d088, 0x2fcb61af, 0x7e40ef95, 0x328ac755,
+    0x017eb2dc, 0xdeb2a26f, 0xeaee698e, 0xfffc5db8, 0xb9f1a397, 0x23b73cdb, 0x6383ed8b, 0xfc5c9ec9,
+    0x492d1411, 0x979e6e0f, 0xb0acd7d9, 0x9af5785b, 0x666d3fce, 0x19b3cb7e, 0xa0dfe95d, 0x41903411,
+    0xc0e0a22a, 0x7501eb17, 0xe8d065ee, 0x1c25f209, 0x5da141d9, 0x34898dce, 0x05918a98, 0x47e67421,
+    0x73d0a331, 0x59a6164a, 0xb70d905f, 0xfc8695e1, 0x1f053d33, 0x4f7124a3, 0xa1b40a56, 0x35820c11,
+    0x9c3d6dff, 0x6f4300d0, 0x23dd41e5, 0x53f59c98, 0xf700b06f, 0x9f33037e, 0xa1892b7a, 0xba2a4a1d,
+    0x3e6b8a66, 0x85d04461, 0x9ca3bb17, 0xdf2d47cf, 0x9ee500fa, 0xc94b9129, 0x8ae6a303, 0xf83b8912,
+    0xd53c2dda, 0x26d8556f, 0x60525a27, 0xcbd22b05, 0x8cc89d77, 0x397dd1ad, 0x8a8baaf3, 0x1db54b4b,
+    0x0870e190, 0x2aa765b0, 0x5ed32e85, 0x6fe2d50d, 0xadf95db3, 0x7e7251f4, 0x073cddbc, 0x6feaecf0,
+    0x32dc0fd7, 0x2b072433, 0xcd51c051, 0xee498fa7, 0xf92d0989, 0x25cbc7d6, 0x00e801fe, 0xd4c37795,
+    0x6632a0ae, 0x0c8e4d19, 0x2383d84b, 0x0d162fc8, 0x18279976, 0x255ff7fa, 0xc3f1d69c, 0x192e52f7,
+    0x99ed4c3f, 0x88a0cee3, 0xcf097838, 0xddae6dcb, 0x5dfd7990, 0x7c6fca3d, 0xd7d9008a, 0xd0fee862,
+    0xd0ad9ad5, 0xdebc1f34, 0x0f43f5bc, 0xf76d142a, 0xfe07a169, 0xfc45dfa0, 0xdcc3e5d3, 0xcfffbd25,
+    0x72d496bc, 0x711f4a94, 0xce9ef466, 0x0265bbfb, 0x121b53b3, 0xb8d3ae10, 0x72a04936, 0x8d823512,
+    0x7091bb1e, 0x0215d2b5, 0x0753395a, 0x55b06f84, 0x30e476f4, 0x54991f31, 0xfd309dc8, 0x5469524d,
+    0x78128f20, 0x2e7f6876, 0xae60edbd, 0x71c69faa, 0x7a11739b, 0xcb6d0d26, 0x844ae17c, 0xecbacb41,
+    0xe8e4c18e, 0x2081ad24, 0xa9bd32b0, 0x6ba25ae5, 0xe047f20e, 0x415fc31d, 0x5eeee2a5, 0x09d46441,
+    0xe798afd6, 0x5944196d, 0x9a5b1b3b, 0x6a34094d, 0x0c38ad25, 0x30de9bd3, 0x534795a4, 0x5d5f0db4,
+    0xe1f4a497, 0x8b064bce, 0x9f494f7f, 0x2ccb2399, 0xce4f9fe1, 0xccd6f585, 0x5c68d602, 0xdd1dcb6b,
+    0x0b8ca5d5, 0x6777ee07, 0xd6e1375b, 0x2ac77fd8, 0x9ad01c2e, 0xe94e3ee9, 0xe9bacfff, 0xc49edb50,
+    0x7034c4e5, 0x891ac986, 0xd8bb84c3, 0xfd392623, 0x1fc1381f, 0xb7f2dfe1, 0xf791859c, 0xc49b2b6c,
+    0xfaafd1d5, 0xbb1ea700, 0x1fdedd48, 0x8c00e8c8, 0x8b84c92c, 0x9ca31449, 0xf6a93163, 0xbb49c2fa,
+    0x3f72b456, 0xd3b99411, 0x27a65554, 0x247eafe7, 0x5e25804a, 0x64309c4c, 0x038ecea3, 0x17111a96,
+    0xbfde825b, 0x9f7b96d2, 0xfce02627, 0x84090c22, 0xf49c462b, 0x56d6d5d4, 0x190fe130, 0x8efd3bb5,
+    0xc79f143a, 0xd7921c57, 0xd8766b41, 0x5bc4c1f3, 0x1d60a298, 0xff71f9ba, 0xbc14587a, 0x49cf6434,
+    0xb02917e6, 0x2692b71f, 0x7da14664, 0x19431a36, 0x2f71c49d, 0x87ac2e6a, 0x6afe83f7, 0xa26b90b6,
+    0xa3779da8, 0x78483b67, 0x09d28408, 0xeb3d39f0, 0xed85c1c3, 0xb8ae6607, 0x2e5e7742, 0x81220afa,
+    0x72684bff, 0xfbe104de, 0xa02e309d, 0x4042d76b, 0xb25bb324, 0xabdd18a3, 0x87efea2e, 0xc0bc2502,
+    0x00000000,
+    0xd7b92014, 0xb42f5850, 0x92faad8e, 0x547ce8f8, 0x943f7a77, 0x9e167419, 0xdab2020b, 0xceb53a46,
+    0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000433229639706377321809127216272356828661943293027471\
+                         33987038743447103457934462900359999600095377180907771737671271930809827721216 */
+  { 0x00000000,
+    0xce0e6a7a, 0x1eda7cfd, 0x94a5579c, 0xb3656d29, 0xab8bd32c, 0x211ceccc, 0xadbeface, 0x92dc479c,
+    0x4d35bd43, 0xf1a12e9f, 0x37931e2a, 0x638d3b24, 0x733d041d, 0x942b9295, 0x43e44035, 0x82133a0f,
+    0xf9f040a7, 0xb6eb8f37, 0x907fd6e5, 0x2990606d, 0x182a5c25, 0x88eba341, 0xb3da8716, 0x861f624d,
+    0x1bf011e7, 0x0c3aae8f, 0x0be7be7a, 0xefd2dbe7, 0x989dcea9, 0x76a3576c, 0xea8afa71, 0xd0ef06cd,
+    0x905e4b7e, 0x5af8aa30, 0x364095dd, 0xbd8001cb, 0x710370e4, 0x10b27248, 0x5970233c, 0x29c7facc,
+    0x09f6f49b, 0x400baac7, 0x3e5d70e5, 0x18b83662, 0x299ccc78, 0x95708c1b, 0x45cea265, 0x44e36bfa,
+    0x8604830a, 0x81b7f47f, 0x14711e0b, 0x8eed496f, 0xc5d4709a, 0x4718e6ee, 0xb496a9c5, 0x298c8eb2,
+    0xb32cc019, 0x87a38f59, 0x1dc86751, 0x4e4e90c9, 0x46e62f8c, 0x83dac4e9, 0xf3af5104, 0x67dbd6fd,
+    0xd1c84e93, 0xe5e0ce38, 0x5ab0c27c, 0xaaaa4017, 0xe465de9e, 0xc7df1386, 0x82852599, 0x6afac663,
+    0xecc2a071, 0xb94c68f4, 0x33ed558a, 0x484bf4ce, 0xb7033798, 0x8420059d, 0xe4981fac, 0x1473563e,
+    0xbfdb0157, 0xd6621a1e, 0x63175ac0, 0xc7d9f4e1, 0xe50fc24e, 0x9e729162, 0xa6a7d934, 0x23f12fbf,
+    0x9f3c785f, 0xb2f9d935, 0x38f920f1, 0x2a85e1f2, 0xc06b0d63, 0x466725a7, 0xa0188655, 0x648a6537,
+    0xbdb91c1f, 0xf958dd7d, 0x37804cb4, 0x5ee591dd, 0x84aa3ef5, 0x65889cd2, 0x80bd360c, 0x8eabc12d,
+    0x4dbae96e, 0x09712cca, 0xbbca2674, 0xff4b3685, 0xc58c74de, 0x14e4d47c, 0x606c74fe, 0xf269a836,
+    0x55cc51e4, 0x605e53a0, 0x5bf1c589, 0xe6f7e3e7, 0x8a336d98, 0xd8b759e9, 0xfe493ce7, 0xca4a4288,
+    0x57ca0be2, 0x0e7a4f42, 0x6076e918, 0xaeade329, 0xf2f7168d, 0xdb00cca5, 0x47bbbc9d, 0x7fc093ba,
+    0x2a694823, 0xaa8c29ee, 0xa7cb84b3, 0x19f5f7af, 0x302876e9, 0x7838a243, 0x36315806, 0xa2ba18de,
+    0xee6eeb50, 0x98d7a97d, 0x6857d29c, 0x370f2551, 0x79d3bb30, 0x5f4cfbe1, 0x36704597, 0x429f29cc,
+    0x4bc1f0d8, 0xc2bd07b5, 0x51026e3f, 0xda7a0a48, 0xe557681e, 0xfb85ad00, 0x2ab83e2a, 0xeb60f7f2,
+    0x8208a080, 0xbaa21f3f, 0xaffa0b45, 0xfa809e1e, 0xe7dbca81, 0xa354d325, 0x0836c960, 0x77bc8384,
+    0x5832c722, 0xb3f3dd78, 0xc72f6eea, 0xbc5cb8e9, 0x004a221f, 0x9dc28be2, 0xb62b9659, 0x066eff4b,
+    0x10bf27a0, 0xea0ae43b, 0x877bff6f, 0x864931b1, 0x9b340db6, 0xaf00a9f6, 0x578be17b, 0x4760b5c1,
+    0x79efd31d, 0x47eace54, 0xb767345c, 0xcd20f9bd, 0x9e7a38e4, 0xa13225f1, 0x17ddc7a4, 0xe2f643bc,
+    0x6b41df1c, 0xd6bb9d25, 0xd62dd16c, 0x6acec68b, 0xbe7baacf, 0x95630914, 0xc69845cb, 0x659fb833,
+    0xdd918519, 0xa83fd1b6, 0x89e8be1f, 0xc8e3b19d, 0x314f59a0, 0xa0815bdc, 0xfbe10789, 0xf446af3d,
+    0xaf422542, 0x1b8ed971, 0x5f3fe264, 0x301b8775, 0x459a42f8, 0x2a258cb9, 0x54c64283, 0xbbe63781,
+    0x56e36b22, 0x4c741e8b, 0x3a4f77ac, 0x3bd91c74, 0xc1f29a04, 0x0134982c, 0xc383d4d5, 0x5d561ddd,
+    0xec294555, 0x47f0c534, 0xf9f66217, 0xb9e840a9, 0x3a30bbb5, 0x18c1632a, 0x1ac828c0, 0x884b5aba,
+    0x033b6436, 0xb32d7a2d, 0xcbb8b91f, 0x6cb15bc2, 0xa68ac5fc, 0x539e0be7, 0x1c2226b6, 0x5dbc3e87,
+    0x7529070a, 0x3051ba92, 0xbf073370, 0x676c57a8, 0x88739660, 0x5df7479d, 0x67cab891, 0xe6cc2562,
+    0xb55e1f29, 0xe7c791bf, 0x77a7db7a, 0xa580d061, 0x7ecaeb04, 0x7b709f36, 0x46a7d05e, 0xb4b99ec6,
+    0x47a4a9ab, 0x57adc8a6, 0x397b5d23, 0x3de31cdb, 0xcc68f887, 0x0133d4a0, 0x3e1a4c8a, 0x4cd22d6c,
+    0x2bdda068, 0x2357bb0e, 0xd1ba7a70, 0x42d0fca0, 0xf3b993d3, 0x0d601853, 0xf5ac9d7f, 0x3076924b,
+    0xcebf86f0, 0xc01fb600, 0xc35ebc6a, 0xede2fb95, 0x27ad39d3, 0x99769a00, 0xde20becd, 0x8d932049,
+    0xfe83dce1, 0x28cfeb95, 0x91635cf7, 0xd1e9b4c9, 0x43c68074, 0x1320c172, 0xb3d6a88a, 0x9997749f,
+    0xb56865bb, 0x55b21e15, 0xc0c76c62, 0x27e1d662, 0xf05b3404, 0xa5ebb433, 0x27b2bbd7, 0x419b1700,
+    0xee019ac0, 0x3b0588fc, 0xa5f3c63b, 0x4b4258ea, 0x252c2c04, 0x2174af7b, 0xe81a0020, 0xfb946c93,
+    0x13f6a3bd, 0x163a2fc9, 0x169edfc4, 0xb3ec2577, 0x2de11390, 0x05640e3a, 0xc646045b, 0x5a790340,
+    0x5e41bbe4, 0x065a3414, 0x82bd2c5c, 0x98abbc89, 0x9acd4b07, 0x9e8d4d75, 0xbad89be2, 0x7ac9902c,
+    0xacac1ac7, 0x083f8efb, 0x5ea26011, 0x4406cf75, 0x6bc4a200, 0xdccdfa01, 0x2f1c9ee0, 0xd1ea123d,
+    0xce2d54e1, 0xb331613a, 0x2bb4e1b0, 0xe0f1da10, 0x9d3651af, 0x51d99627, 0x5ee6e702, 0x78e64ef3,
+    0x9480a98a, 0x113cd40f, 0xea2f5ce9, 0x0ff8ddf2, 0xdf796ce4, 0xd5d6021d, 0x4a88e54b, 0xb4748beb,
+    0xaf3dd907, 0x70970773, 0x6fd40290, 0xc11a5f1b, 0x8c96eaf2, 0xde66b920, 0xec580320, 0x7d43fc4f,
+    0x4dd0a7b5, 0xb8bc354b, 0x5cf3f941, 0xd26317dd, 0x344787ff, 0x3260cdb7, 0x1a442ae0, 0x8792f779,
+    0x1b658d5f, 0xcb141b78, 0xd44559ae, 0x0a9df06c, 0xff552683, 0x10d126fa, 0x2f424c05, 0xae3df6df,
+    0x9e03e828, 0xd5d99751, 0x460588ae, 0x4fa58a31, 0xdf9649a5, 0x890261dd, 0x3c42f981, 0x4d173df8,
+    0x29c4e858, 0xac55bc41, 0xb2a4ef25, 0x457d1046, 0xa5be33b9, 0x89690f6c, 0x701fd35b, 0xa0f42eeb,
+    0x919f98f6, 0xb4a0a15d, 0x91791457, 0x0ff269f6, 0x88f05072, 0x9a298f7e, 0x929123c7, 0x74318fa3,
+    0x40955107, 0x1a4f2337, 0xb6199170, 0xe185ecd7, 0xe7670a5d, 0xf71f4be6, 0x10416392, 0x24aea287,
+    0x39b472a0, 0x2f170681, 0x4e44adc5, 0xda4ef391, 0x5e1791c6, 0x2d3962e3, 0x55afd3b7, 0xaa5ac55a,
+    0xffeff990, 0x00d9a32e, 0x0a0563ca, 0x78363ccb, 0xb2cdeb74, 0x82241e4f, 0x10faa9d3, 0x8e6452e2,
+    0x76baf59b, 0x048ac628, 0x320dd0ae, 0x591254dd, 0x83738091, 0xe98b48fc, 0xef962254, 0x0d3625ea,
+    0x5411c320, 0xbf11a3fa, 0x666d88e2, 0x2ae5b117, 0x05edb88e, 0x5dac1075, 0x66af2104, 0xd4c9737e,
+    0xe5a7beb1, 0x8322729d, 0x4a838377, 0xf1ca9385, 0x7d6b0dcb, 0x9a822bc4, 0x066a3946, 0xefcfa6e6,
+    0x2c9d0a9b, 0xc10d5317, 0xe9acca3e, 0x60f3c9f2, 0xa8234449, 0xb1982bdf, 0xd96f6755, 0x7d6e46d0,
+    0x92a9c46b, 0xf6966099, 0x9d9a1ad9, 0x9e423c6f, 0x05ec463d, 0xfca105d1, 0xbfd78627, 0x44b58cf5,
+    0xd8372edc, 0x33bad8a6, 0x5ce57ed8, 0xec865342, 0xc26152cf, 0xeb1f705c, 0xf456f5dc, 0xc89f7966,
+    0x5ece64b3, 0x0f6eb32f, 0xc1837ad0, 0x7dbe1439, 0x1c6f02b2, 0x02803b04, 0xe0250a06, 0x8d5c2fd6,
+    0x85703e2e, 0x394c3603, 0xd14a8765, 0x2400e2bb, 0x0ed55820, 0x548c6f5f, 0x1c2dad93, 0x7ab76fe8,
+    0x188ac9bb, 0x0f1965f8, 0x74653226, 0x0a60d5a3, 0xdb18c3a6, 0x224f4d67, 0x094db2bd, 0x90b50597,
+    0xc2b90ed3, 0xbe358a24, 0x029f7dc5, 0xe9a72d4a, 0x75a2b186, 0xc144f345, 0xdb7f693f, 0x958f6bcd,
+    0x745818a2, 0x555c5f34, 0x1630262c, 0x3387ff8c, 0x29bc15de, 0xf56da9e2, 0xbe4272f8, 0x5ab02842,
+    0xc8caf6c9, 0xdd4c0ae5, 0x0c9c28a4, 0xdf361273, 0x88447a5b, 0x507b604d, 0xeab87a00, 0x62d318b5,
+    0x15847a20, 0xf2f42e81, 0x9dbcb53d, 0x755c0d07, 0x72dae4f3, 0x9ee94e39, 0x87409210, 0x8322b528,
+    0x57432889, 0xdcf42ae7, 0xa19b5f0e, 0x09b2680e, 0x247c3681, 0x4f429234, 0xf27a873a, 0xc379666e,
+    0x5aad3299, 0xbbe3994e, 0x58c2502d, 0x3ad7dabe, 0xe53b26ce, 0x4c66f77c, 0x70ec5661, 0x48fefb77,
+    0xfca2fad8, 0x1d016fe7, 0x30dc4c3b, 0x2f996f0f, 0x1fa9bcaa, 0x035b839a, 0x415b8679, 0x62f112b8,
+    0x16602b22, 0x1068f121, 0x523443dc, 0xf796cd1f, 0x643a4d83, 0x802202f5, 0xdc0b4b5e, 0x4c0f2b7d,
+    0x620426fa, 0x91c11042, 0x349c2321, 0x92a74cac, 0x2a0dbfff, 0x383ad0b1, 0x78caa4ff, 0xbbe6ec62,
+    0xc4870a43, 0x384ea57a, 0x19d487ab, 0xe6fd6888, 0x177d8c1e, 0x23ce68c2, 0xd3a2fb09, 0xc507f899,
+    0x00478355, 0xa5a14d35, 0xca131813, 0xf80dcaaf, 0xfe538186, 0x20c7302a, 0x80aceeba, 0x88f7bdc3,
+    0xe13271c4, 0x1e292b14, 0x0564ae35, 0x9ac33696, 0x052d63e7, 0x33f320d4, 0x520f4bc9, 0xb05c8f8a,
+    0x2a5a6922, 0xea514fa9, 0x42c6d5fb, 0x49ea63b6, 0x79f8b1b6, 0x2a816c9e, 0x7b2a4e85, 0x31b1b3dc,
+    0x973db52a, 0x41589be2, 0xb22d129c, 0xe857c07b, 0xa1664605, 0xbb2fce27, 0x27251489, 0x77a4ee24,
+    0xbc64f89f, 0x007b5926, 0x2bd916f3, 0x1ea0c9fc, 0x93775531, 0xe4a94501, 0x4a7b5029, 0xe1b2adf5,
+    0xd39eed71, 0xba1675f6, 0xae7df294, 0x4da20502, 0x84645fca, 0x40bdc9fb, 0xef7f22c7, 0x2fdd9c49,
+    0xbc185dbb, 0x292ddf4a, 0x02b4b954, 0x191a9d21, 0x80e0adee, 0x11214924, 0xd436f795, 0x7e828e53,
+    0x0a05a94c, 0xf3135d2b, 0x446aab09, 0x088b01b9, 0x9a1d35c0, 0x28a91eeb, 0x21036097, 0xd0ac2797,
+    0xb7c60cc4, 0xb6841cf1, 0x3a4f95a9, 0x9de09222, 0x52ad82b0, 0x88fddd9c, 0x8fe9f248, 0x89e5f522,
+    0x0d4f1a4f, 0xa977b5f9, 0x5585bce5, 0x5afa9570, 0xd93e4c6d, 0x570282bd, 0xdcc6a7e8, 0xb87fb104,
+    0x4e99fdce, 0x9acb7f2b, 0xea329ad8, 0x4d5ed667, 0x24b2557f, 0x31912e06, 0x6ecbdfa7, 0xbf865ec7,
+    0x472102f7, 0x913c350b, 0xa48036dd, 0xba3b3546, 0x3bd2b007, 0xe7d2d241, 0x328976e1, 0x2070d21f,
+    0x7b0af813, 0x6cd36601, 0x6ce88aa0, 0xdc60381f, 0x7985a41b, 0x7f6a4df1, 0xe44b60ea, 0xb571e980,
+    0x3255e0c2, 0xc0c47101, 0xbd00d2ac, 0x7afc491f, 0x1a357fed, 0x50d6e107, 0x9d651874, 0xb0b4fdf1,
+    0xeb0f4f86, 0x4bdf3856, 0x8f13adc9, 0x8448f727, 0xac8fadbc, 0xa240b57a, 0xd0a47304, 0xb9d10363,
+    0x2d83b22e, 0x890bc122, 0x0160ea56, 0x433c7b07, 0x6576262a, 0x4689934b, 0x69a0da06, 0xda13ea12,
+    0xa39ae492, 0xc63d64fb, 0x718eb91a, 0x582ce16e, 0x0acb1166, 0x311e31ad, 0x486ff5ee, 0x32fa689a,
+    0x1b874a65, 0xfaab7b3a, 0x3a29ee19, 0x677d68c3, 0xa74df8d4, 0x4685f712, 0x51463b14, 0x6faa5c81,
+    0xed9abdd8, 0x68c6ba9e, 0x4550ec17, 0x3ca80cdd, 0x965c6c93, 0x0242b6a4, 0xc86f9474, 0x02fe5edd,
+    0xcb135e4f, 0x6a57077c, 0x1d883d3b, 0xc4b7faa6, 0xa817aa13, 0x8b0fcc47, 0xd6c1b745, 0xb94d72ab,
+    0x62c2e03f, 0xbf8060f9, 0x551032ea, 0xede42385, 0x0e98306e, 0x9a5c2660, 0x673be005, 0x10e08a90,
+    0x506090b2, 0xb56ade1b, 0xfe359185, 0xb360042b, 0xd9dfe2eb, 0xa0dbd70f, 0x776ce117, 0x644bcb26,
+    0x1a994973, 0x6ec55169, 0x2f414da5, 0xfc9a2310, 0x763e65f6, 0x85e1c07c, 0x1b81324f, 0xf60c9d6a,
+    0x258e60ed, 0x57a40ac0, 0x179ff08a, 0x345b39db, 0xd70c7bc0, 0xc6231198, 0x9273c919, 0x2f0ac10d,
+    0xca0f74c0, 0xded918d5, 0xe81bdf24, 0x252acf00, 0x95841639, 0x1e30c4a7, 0x188ab873, 0x8425649f,
+    0x7bf7e64d, 0x2ed6fa83, 0xbcba2efd, 0x74ac09ff, 0xb53b8d4a, 0xb4f09284, 0x8cd35767, 0xf6ebfdb9,
+    0xfdcf81d2, 0xba9e42a9, 0xed88f4c2, 0x6e4d7dc6, 0x93ea115b, 0xe99b2032, 0x61b4a72e, 0x30864d68,
+    0xe290199c, 0x5780d484, 0x2c19474a, 0xf6af5806, 0x3978994e, 0xee1038fe, 0xd74b7967, 0x24ddb49e,
+    0x0af6cc3c, 0x35becf45, 0x8e7db2d6, 0x167b2967, 0x49b81178, 0x452651af, 0x9135a05e, 0x5bc05181,
+    0xe45e15cd, 0x71e97d71, 0xc4700359, 0xcda0c896, 0x59d48f36, 0x5f14b9aa, 0xf38518f1, 0x8e181b1e,
+    0xba5cf6b7, 0x7af54f44, 0x8222b54c, 0xfcd1a785, 0x68845ce0, 0xf62e1d67, 0x50867bd6, 0x8127036d,
+    0x6b8c7bd2, 0x5749c933, 0x4f107c0e, 0x0b515bb8, 0xf89cafd7, 0x144c3df6, 0xf1a103e0, 0x3da1f23e,
+    0x117cd1fe, 0x579a35b0, 0x4751d107, 0x0c044f61, 0x828e609d, 0x66ede9b8, 0x6a6f443e, 0x22b80c85,
+    0x534ba98a, 0x30b06506, 0xcba56cd3, 0x460358cb, 0x02e03616, 0xbcb1051c, 0x16ea39c1, 0xfe7a175f,
+    0xc4805c58, 0xefa7825e, 0xa7e60b1f, 0xe7922699, 0xe443385f, 0x019c882b, 0xac0fb116, 0xdcf23148,
+    0x124450b3, 0xde865ace, 0x93a14b36, 0x18055ad7, 0x6343f7d3, 0xebfdb224, 0xdf3a6e98, 0xadfe099c,
+    0x78268134, 0xc5e42463, 0xd997d766, 0x7bbc5fda, 0x04bdbeed, 0x88f580ce, 0x3e638bab, 0x11f793e5,
+    0x89ec3969, 0x7c3d60b2, 0xb06407da, 0xb2b2ff4a, 0x8a1e5aec, 0x3cbabf4e, 0x3eab7f7c, 0x5dd7a2e8,
+    0x5c2054f1, 0xc89b1195, 0xfcf926e0, 0x1ee53961, 0x81dbb2fd, 0x1d060312, 0x3f24522b, 0x437e607f,
+    0x5f5fe882, 0xdc9ab891, 0x1ac70a76, 0x93f25f1f, 0xad16eb31, 0x790ae018, 0xa1222730, 0xc425fc4e,
+    0x1818246b, 0x7171ffeb, 0x560f5651, 0x6ff74a52, 0x175b79a1, 0x00eac51d, 0x419e27d3, 0x24b83e10,
+    0x265d6214, 0xfddbd902, 0x01f094a7, 0x34b057bf, 0x3e14bc39, 0xd6fe22e7, 0x834d3fc2, 0xe770505e,
+    0x2eeaa12c, 0x18b1dbbf, 0xadaa8a0f, 0x511384fd, 0x4eb67691, 0x06dd9894, 0x603af849, 0xa7d203ee,
+    0x407f9614, 0x46ff367f, 0x94591767, 0x96943186, 0x776b370e, 0xff85d652, 0x26805b22, 0x9967e7b6,
+    0x4a1cea4d, 0xe8addacf, 0xaff7e76d, 0xf931eb82, 0x4e236c0c, 0xdc46881d, 0xae46fd2c, 0x6b9b4251,
+    0x765374fb, 0xae218d81, 0xe26ff72e, 0x28fd1523, 0x0c28628b, 0x27bf1ddd, 0xc89e6aab, 0x16d2e0e2,
+    0xec3766f7, 0x4144a2e9, 0xb1b3737a, 0xe1f248b3, 0x3e38d43f, 0xbb4708b2, 0xe0089e77, 0x6ba3a23e,
+    0xcefe9ff0, 0x0aaafd18, 0xe949742e, 0xec62b400, 0xd771c8ea, 0x8b3d36be, 0xd603f968, 0x68fa872f,
+    0xebb71bc5, 0x1c3dadc2, 0xb5fdcbd4, 0xb55672c8, 0xee2d1de3, 0xb1533d08, 0xfa74bda2, 0x823525ce,
+    0xf66a8b81, 0xeaa38f8a, 0x9a663849, 0xa2c43232, 0xbfc7b2a1, 0xa3041caf, 0xa66deb71, 0xe8a316a2,
+    0xd840a7ba, 0xf4a078e9, 0xaeae1956, 0x6fb275bb, 0xba7d79fb, 0xdee4549d, 0x783db5fc, 0x594c714b,
+    0xe414c514, 0xbe893cf4, 0xb2c6d895, 0x960e18ea, 0x7e7b843b, 0xe9aab146, 0xbd32673c, 0x8de5218e,
+    0xd9025806, 0x88fb476d, 0x3132f7a4, 0xc31ec3f5, 0xa72c6e51, 0x97a5449e, 0x960006ea, 0x55a6dfe1,
+    0x95327ba3, 0xb89197e4, 0x4a217634, 0x2bd25703, 0x38eccbf1, 0xa56b29d0, 0x8fdfb2c7, 0x3d5ab599,
+    0x7085688f, 0x45bcfcd0, 0xc1656675, 0x390c660c, 0xc31b01ac, 0xff945934, 0xe56e6c8f, 0xa3f5cb96,
+    0x79f9db75, 0xb64f0727, 0x67c7ef50, 0xb37548f1, 0xec9e7d43, 0xb0e82b49, 0x30957d50, 0xde205cc8,
+    0x00000000,
+    0x6bdc9009, 0x5a17ac28, 0x497d56c7, 0xaa3e747c, 0xca1fbd3b, 0xcf0b3a0c, 0x6d590105, 0x675a9d23,
+    0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000216614819853188660904563608136178414330971646513735\
+                         66993519371723551728967231450179999800047688590453885868835635965404913860608 */
+  { 0x00000000,
+    0x6984aff5, 0xa1890094, 0xbc2a503e, 0x965a0401, 0x5cf956b6, 0xd5dbe3ee, 0xce3fb55a, 0x424c511d,
+    0x75326e77, 0x26c48329, 0x73766ed5, 0xbfb0cf18, 0xeb56a344, 0x03d1a2a8, 0xc2913022, 0xe4337f6d,
+    0xd102414d, 0xa6dcc018, 0x2f7fbd84, 0x0028ae12, 0xa5ba5172, 0x5a41cb3c, 0x9e2014b4, 0x37798e8c,
+    0x4d4521fe, 0x4a6b3ef9, 0x4d920623, 0x12cd430b, 0x132adfe4, 0xd89a36ff, 0x014cbd4e, 0x71395721,
+    0x83494bd1, 0x1452f8fa, 0x181eee5f, 0xb794c846, 0xe9d68791, 0xa996c935, 0x1bcb45ba, 0x50a89288,
+    0xe4a17642, 0xaaead6a5, 0xa5725521, 0xb0df18fd, 0xbec0ce29, 0xf632e231, 0x2c5a59f5, 0xee21489a,
+    0xac8b1b05, 0xc108d1f8, 0x97b21701, 0x5b99f80e, 0x24a6e2e9, 0xdaaa1e6e, 0xad72c984, 0x11b235d6,
+    0x38e21f2a, 0xf96ceb26, 0xf812fcdd, 0xd5b01293, 0x1870d591, 0x1ae2c5e5, 0x1c9c2bcf, 0x7ad59cda,
+    0xa9f9020b, 0xd803d794, 0x2d1c6c05, 0x3f023bb4, 0x8a8a56bd, 0x806d662f, 0x3e5a9711, 0x3a19c55f,
+    0xc9cb7b24, 0xafa14dc8, 0x9ab31318, 0x70ba9c4e, 0x18aab45f, 0x5d0912d4, 0xfd041975, 0xab7be206,
+    0xce076ebd, 0x09b11d25, 0x69ddea55, 0x9c737692, 0x24925090, 0x8ac9cf84, 0x07297a4f, 0x6ddd4576,
+    0x522b845c, 0x7da2f915, 0xfc9b5018, 0x43f78b44, 0x132737d0, 0x78161fa7, 0xb339b033, 0xd8c97be5,
+    0x3d86cc57, 0x7b2adf58, 0xac527de1, 0xaea7393d, 0x944421d6, 0x8fe3ca7c, 0x7f3721c8, 0xb173c108,
+    0xf2a8e854, 0xeed79b10, 0x9b621118, 0x56458624, 0xcd9354a5, 0xa6af196b, 0x1236d6f8, 0x7a70df40,
+    0xefe78759, 0xd65438ae, 0x1083d7dd, 0x696e4942, 0xf0e8ca36, 0x8d689321, 0x6fcf0b9f, 0x7e1a8865,
+    0xc8a18dc6, 0x44141ff6, 0x5d543688, 0xa6240c28, 0x113fc19e, 0xd45e7571, 0xb2d29c92, 0x6b4ea033,
+    0x3b837b0b, 0x32c6a915, 0x049d39e9, 0xfbb8dbcc, 0xa43320e4, 0x42feb016, 0x0693e716, 0xe16dea7e,
+    0x905e5490, 0x520243d9, 0x5c95f6b1, 0x6d0cd829, 0x96c8b104, 0xca319a25, 0xc842ad88, 0x409ba413,
+    0xe6a944a0, 0x496210ed, 0x3ac069c8, 0x88d8e2f7, 0xae37f653, 0xa950ec76, 0xa66c51d3, 0xcaaf55bf,
+    0x02cd6513, 0xa3e5a45a, 0xac5bcf2a, 0xda911b4d, 0x1da94385, 0xe3c7c7ef, 0x330f1996, 0xb20beb10,
+    0xd51ffa52, 0x6014d264, 0x0d9b8912, 0x8eeccaf5, 0x88e63f7a, 0x60e07108, 0xb74c5050, 0xf6aab195,
+    0xda088c9b, 0xe79103c7, 0x4878f09e, 0x190765d7, 0xb643c097, 0x2c6fc57e, 0x1d57e0df, 0xf7abfb95,
+    0xdc234038, 0xd0e87d63, 0x6a8c37ce, 0xa7949100, 0x84bafe2c, 0x15555e79, 0xba36a551, 0xf586015a,
+    0x3b19b68f, 0xc20875d0, 0x49ef9f2a, 0x95ac07e5, 0x59f3848c, 0xe9dba28c, 0xf041d58b, 0x9dece354,
+    0xc4113e77, 0x39a97425, 0x8b12a592, 0xb91a21a6, 0xcf593ab6, 0x0406d832, 0x5aaf3d83, 0x5cbf4a9e,
+    0xc42e2d6b, 0x551bf87c, 0xe94cd3ca, 0x394505c1, 0x9d2407d8, 0x8bb7b9f5, 0xb360a3f5, 0x0d39894c,
+    0x5ab0d4f3, 0x472fcae7, 0xe6a866b2, 0x00458e4c, 0x02a27163, 0x06a7278e, 0x4ccb5523, 0x8376e6f4,
+    0x4adb120a, 0x250d1aff, 0x28caa284, 0x493983e9, 0xa698c646, 0x877ba681, 0x876f4cdd, 0xc30d2f88,
+    0x2d0a028a, 0xc600b25f, 0xd4b5a0e5, 0x689dedb6, 0x730e390b, 0x3aa4f6df, 0xf3c15df8, 0x31e8a570,
+    0x55e51dad, 0x8238a959, 0xbd0574c3, 0x0ebf8d06, 0x1a52e953, 0xcfe8905a, 0x2be66079, 0x47c3a818,
+    0x666cd9fb, 0xd89e2505, 0x5fd5b988, 0xfa46dd76, 0x1acead99, 0xe33fb019, 0x37dfd305, 0x0eb40254,
+    0x06330762, 0x8cab0726, 0xf0ed30a4, 0x640dd32d, 0x845e75f9, 0x7d79a30c, 0xc9056246, 0x3ca544e8,
+    0x2502d795, 0xdb4c5cd5, 0xe868eb1b, 0x842508b1, 0x720f78f1, 0x268afd1f, 0xd5ada105, 0xedd9a358,
+    0xff866369, 0x2e998ecf, 0xbff6e4bb, 0x768e10d9, 0x84b2bbda, 0xda1fc18c, 0xd6948aac, 0x722a69b3,
+    0xd5446852, 0xd413b785, 0xa8566147, 0xf778f122, 0xa1229c60, 0x54288e98, 0x38a11201, 0xf812d5a4,
+    0x6bae7f10, 0x28dee727, 0xcd77f0e8, 0x14a8e53b, 0x4d60fd01, 0xe099d305, 0x1aef4013, 0x236c7052,
+    0x48a3e365, 0x4a72f2b6, 0x130bea55, 0x64ea88fd, 0xfe8bf7a5, 0xaaa42929, 0xde0c7794, 0xc1b6be76,
+    0x401f1efb, 0x81a6d1c6, 0x8e0f5fab, 0x0c247b63, 0x7b92e2df, 0x846d2cae, 0xd9931d4e, 0xa3394c44,
+    0xe1a4252f, 0xe60c714e, 0x3d5b2cfe, 0x46929254, 0x06e39ef3, 0xa4dc038f, 0xcf6fc0e2, 0xa9457725,
+    0x21f0cf85, 0xeb240d4f, 0x58357271, 0x1be36c18, 0x44224ad5, 0x091a55a1, 0xecffe027, 0xcf6e7df4,
+    0xbc29fb9a, 0xc59759a5, 0x5408cfb8, 0x165ee7ad, 0xaa4aa820, 0xb9ed8526, 0xdc39a3e4, 0xf96fc85f,
+    0xd67de8a6, 0x493d17f3, 0xbc69c272, 0x471ebd3a, 0x86f4918e, 0x8716189f, 0x8353794d, 0xd5b5d5be,
+    0x755e4bc3, 0x0cd5773e, 0x5213e22d, 0x55ed03bd, 0xa7ded53e, 0xb8eaa25a, 0xc916949f, 0x92249618,
+    0x62f967c1, 0x6cbd3e3d, 0xf6866484, 0xd9437939, 0xaec9fda4, 0x1501d60a, 0xb901dbf1, 0x7b5f4b83,
+    0xf185c5cf, 0x0499d5d1, 0xf22b78e0, 0xa746ffc6, 0x8349f6bd, 0x245bcbce, 0x4b8c72bb, 0x8e743f14,
+    0x9d244c12, 0x92ad4a34, 0x637974b6, 0x6bb29191, 0x4ab1bdb9, 0x6d494280, 0xabb71d58, 0xfc8b639a,
+    0x19a92c9e, 0xb04394d2, 0xfa878c77, 0xacf00f82, 0x009854e3, 0x249e9a1c, 0x95909e2f, 0xa726f63f,
+    0x3703f979, 0x6f9b2007, 0x0893538f, 0x1b198fd8, 0x1482129c, 0x9f9fa427, 0xf15c0851, 0xd3dd8b83,
+    0x893c65f6, 0xf823e0f3, 0xbf624cbb, 0x5f952fdb, 0x22189e21, 0x18a55c0a, 0x8840a560, 0xb917eead,
+    0x731386f2, 0xa8c209fc, 0x08e4e597, 0x055bda21, 0x28598227, 0x60799b01, 0x5a8107f4, 0x239a2adb,
+    0x26227546, 0x83f865e5, 0x14f3eb1d, 0xb7fe9f16, 0x4205a033, 0xc0d5374c, 0xe9d1308c, 0x36c3c303,
+    0x9ac27ba6, 0x34a1b4df, 0x92074dd6, 0x3fc97c37, 0x81515bdd, 0x6eff622b, 0xc04472f0, 0x806729c1,
+    0x850a1658, 0x50bb03e3, 0x6fae421b, 0xa8accf58, 0x970046c6, 0x5feccc0e, 0x970bc3c8, 0x47049556,
+    0x6195974c, 0x3ebf6d13, 0xd75558b8, 0x026a20ce, 0x2194ae19, 0x7c990393, 0x9a55fbae, 0x9e8ff1bd,
+    0x3c24d972, 0x0989d51f, 0x2c62db3e, 0x38e67abb, 0xb5b1ab0a, 0x85fce4f1, 0x559e909b, 0xeda1475a,
+    0x700934b6, 0xc276cca2, 0xd19e9e81, 0x9b9ef406, 0xae91e2b0, 0x2ba209a0, 0x1a562db4, 0xb25202a8,
+    0x7c6a53b6, 0xea2c4d09, 0x803e0e9d, 0xf2560165, 0xe8844e13, 0x71d95bd7, 0xd5929bfe, 0x0d502fa0,
+    0x050272e6, 0xe95e5863, 0xe4b10758, 0x0fa9110c, 0x80c88a0c, 0xa7dac3e0, 0x6319bc14, 0x32f78fbc,
+    0x4a5c75c8, 0x7fc20319, 0x0ac808a8, 0x51cf8227, 0x731b5a7b, 0xf0974dcf, 0xf8b82ea8, 0xfc6900af,
+    0x3c1f847d, 0x42e82b7c, 0x2ee6664d, 0x9b6342a9, 0xaf7b817c, 0x030a060e, 0xc08a84fc, 0x2224037c,
+    0x01b58dc2, 0xbed5d1ab, 0xd93bcd2c, 0x72727266, 0x16c47fb2, 0x91f7dd45, 0x7750901c, 0x52db78e1,
+    0xd72e2630, 0x885b1297, 0x2fcb6570, 0x1300bf36, 0x3b24d3ed, 0x93a43d8d, 0x7d32082c, 0xa39d8543,
+    0x3d8707f9, 0x058cb743, 0x0962fe3b, 0xfc0a7372, 0x9a814179, 0x2039f058, 0x9cc40f8b, 0x82490a98,
+    0x19174d33, 0xfef587f6, 0xf57d309d, 0x35506af0, 0x1278720e, 0x8914197a, 0x8f5524a6, 0xba58b863,
+    0xeedf3d94, 0x644babb3, 0xb5a2f244, 0x06497a1f, 0xc379aa5c, 0x1654a2ef, 0xaf70f821, 0xb70a5ae2,
+    0x002638c1, 0xef1f6770, 0xc2a63b2d, 0x8d847ad5, 0x7b77e7ed, 0x82c88777, 0xa56e64f4, 0x3bdd7ba9,
+    0xec0c3a07, 0x781b09f3, 0xb595b682, 0x1e87a147, 0xd8e56219, 0x9c26913f, 0x9282cf45, 0x6bcb916c,
+    0x4ed18607, 0xd824fdb1, 0x4b44504a, 0xdaa5bc2e, 0xe3c5e3c6, 0x8c16c2c7, 0x6576268c, 0x35fd07bc,
+    0x81886338, 0x631eb0db, 0x819e1efd, 0x0618d60e, 0x7673dcc0, 0x71ec7ce1, 0x2c8c56f8, 0x78dea815,
+    0xa309e3b7, 0x196bc9d7, 0x7d7a0ca2, 0xd7e5b180, 0x8dc78437, 0xf6ac0446, 0xc69a916d, 0x830e99c8,
+    0x529f606e, 0xd40fc437, 0xcf712f15, 0x50072091, 0x85cfd2a5, 0xb02d0eaa, 0x7dbe19fb, 0xd33c7526,
+    0x11b00d01, 0xc5aaa546, 0xb8775f4b, 0x6a4aa001, 0x6815c7f2, 0x3cd63fda, 0x20ef315d, 0x5571f825,
+    0xb9126e4a, 0xf21779f5, 0x9172a8d0, 0xe688b696, 0x2119372d, 0xef9490da, 0xab6865c5, 0xd0184536,
+    0x81ecd1d7, 0x6aa52b7c, 0x02c46ee8, 0x395f0384, 0x10700ba2, 0xe2879097, 0x7d8f88ac, 0x1ec816d1,
+    0x64f9e945, 0xe80fdc90, 0xaabc344d, 0xd8cfa4d5, 0xad50f45f, 0x7a8248de, 0x0a317b88, 0x26175604,
+    0x3c07557a, 0xf976c00d, 0xac353a4e, 0xb1ae6678, 0x9e3dbfbb, 0x943a6eb8, 0xcdaac16c, 0x23ccac27,
+    0xcfd0840b, 0xd4441229, 0x0d1a5a7d, 0x65f70a9a, 0xec5af7c5, 0x9455c6eb, 0xf09a86c9, 0x27607fd3,
+    0x2deaa39b, 0x8d49304a, 0x9c72a264, 0x6da9772c, 0x04508152, 0x96182bf4, 0xeeac0871, 0x68c64905,
+    0xbf0dc89c, 0x67e8fe3e, 0xbae06d64, 0xafb4beea, 0xe2eb8e89, 0xeccca69b, 0x0a054ad6, 0x111b68fc,
+    0xe426cd28, 0xc9b1ce26, 0xa0325db4, 0x5d260ec8, 0xd8db9a07, 0x898ed964, 0xef56b2c7, 0x282b08ca,
+    0xac5e4298, 0x2672debd, 0xce4d08dc, 0xaebd863c, 0x291a54b1, 0x657f121e, 0x435cea88, 0xe412f5b7,
+    0x472c1ec7, 0x5c1c5255, 0xdbdc4986, 0x7b5bb033, 0xf25ab379, 0x9ed8875f, 0x178cbd97, 0x88b42e5b,
+    0x919203cb, 0xbe1ea5f0, 0xf25255a3, 0xe9201368, 0x03839ad6, 0xa9bb25ba, 0x259fdd46, 0xbbd8702f,
+    0x9a437e59, 0x6140b0e3, 0x6d4541e2, 0x6528f0cc, 0xf53d1a42, 0x411fdb58, 0xdbcc5092, 0x766100f1,
+    0x08d5448e, 0x6a1d05c7, 0x0b435f8a, 0xdefb95eb, 0x2cb48d95, 0x00fb8f1d, 0x3bd87016, 0x7867cbf0,
+    0x102fe19f, 0xb1ec5f2b, 0x571fc809, 0x54cd7bf5, 0xc3644871, 0xb739e54d, 0xdd45e14e, 0x8e1b8cdb,
+    0x41939f02, 0x2e94468c, 0x4842c1b8, 0xf738ca8a, 0x7779c6dc, 0x07012925, 0x288e2ba3, 0x31fbed66,
+    0xf3adcaa4, 0x75f34126, 0x1b628812, 0xd1c5bb4a, 0x187410a6, 0x26a656b2, 0xbf1452ae, 0xf2efd26b,
+    0xbabe5a6c, 0xd1298396, 0x2b495ba3, 0x29d49eb8, 0x8f9161fa, 0xa997c6e5, 0xd8ba8eb3, 0x344a3477,
+    0xef703acc, 0x4b1b1f78, 0xedcaf650, 0x4c4be972, 0xf89d3c3c, 0x9c563936, 0x5e9c6cdb, 0x8deeeaba,
+    0x4d5c2125, 0x184e869c, 0xf923dff7, 0x08e5f5c8, 0x85a59e17, 0xbe5a4482, 0x05048b64, 0x898ce67e,
+    0x8992c2ee, 0x9a348cc6, 0xb3558e54, 0xedc1c5cf, 0xc7211335, 0xe8a0c520, 0x2be8eb05, 0x2b8be52a,
+    0xa674f3b0, 0x428c6b0c, 0x104e91a1, 0x20a2bd90, 0x3d7dc351, 0x1f9669cc, 0xb3b86d83, 0xd7b459e7,
+    0x8a676a8d, 0xd9648272, 0x7890d0ce, 0x9577058d, 0x0be55cac, 0x1a9c2675, 0x23c6966b, 0x8eb058ed,
+    0x54db35a8, 0xaa16379c, 0xc9447723, 0x059e5042, 0xecc54988, 0x33f03d61, 0xa4d30fb3, 0xb2876cae,
+    0xfba7e6e9, 0x2be5bc26, 0x402ec853, 0xe5b36541, 0x5afb8ba1, 0xe7cfbb78, 0x8a612166, 0xbb254ec2,
+    0x3634fdcc, 0x8e6c26a0, 0x26a6a637, 0xe8f42c46, 0xe230cc0b, 0xffc72569, 0xafb9a1e8, 0xefb4bc90,
+    0x2faa8f1c, 0x69261130, 0xfb449697, 0x66eddaae, 0x285c4af0, 0x77c236d0, 0x0eb71879, 0x37a938de,
+    0x5bf3cb69, 0x2df40315, 0xfd834fb8, 0x1dff537e, 0x918b1a43, 0x325cf74a, 0xde9270ea, 0x01319715,
+    0x6105d451, 0x3c5ed9cb, 0xc311ec2a, 0x56cdfaea, 0x2a128093, 0x5d3ffe48, 0xfe7c0d4d, 0x9987234a,
+    0xd904bd1b, 0x597954e4, 0x54e4d461, 0x99a22057, 0x8115c80f, 0x45c4a485, 0x81fb7a63, 0x7e7131de,
+    0xd8cfd2bf, 0xd1231162, 0x6d512dc3, 0xc5c72c65, 0x96653b76, 0xbb496561, 0x9f89c537, 0x5cfcdfdd,
+    0x22874504, 0xa536ad48, 0x41ff8918, 0x36a1ed0a, 0x87e51b95, 0x309d471c, 0x924df552, 0x37373078,
+    0x0238f412, 0x32b530af, 0x57a37426, 0xfcb5d5ab, 0x588f5299, 0x4817a900, 0xc9f03323, 0x3efd90fa,
+    0x953ac92a, 0xa3d37902, 0x8e1392b2, 0xb9305342, 0x59c537f4, 0x58b1eff5, 0x3847b1ed, 0xb4cc2c4d,
+    0x824037c4, 0x51d45b49, 0xee51d2d7, 0xdba559b0, 0xb2183cb3, 0x3d8f06f3, 0x4316d6ea, 0x9c717664,
+    0x0f0e128b, 0x800ec9b5, 0xaa521022, 0x57927acf, 0xa12d9acd, 0x4a93939a, 0x65d4dd75, 0x8b2329ef,
+    0x9ef29856, 0x5b116f91, 0x07f58cb7, 0x4e947be6, 0x83f2d7c7, 0x51cc2f27, 0x6d8fdfc2, 0x4711d232,
+    0xfdcf14dd, 0x8b86f939, 0xd4e86a66, 0x6240148e, 0x262cc396, 0x7e22205d, 0xd959000a, 0xb97f5136,
+    0x99dc5c0c, 0x42cabf37, 0x62b7d93a, 0x927b5da6, 0x720b66e0, 0x2a5e776d, 0xedf6efc1, 0x2639e4ad,
+    0x1f168388, 0x990e32a1, 0xb7efeb97, 0xf31f70b8, 0xb58e1ed7, 0x1125fd4b, 0xe9048d35, 0x27e2db70,
+    0x33df68d9, 0x8bf7707c, 0x83210f65, 0xc5ead14d, 0x6af55a03, 0xfafae20d, 0x2bacb608, 0x5c426e84,
+    0xc4b421bf, 0x159ef62f, 0x95ec53ff, 0x806c53cf, 0x5773dd8d, 0xde0904e3, 0x95e40674, 0xc3008422,
+    0xa2aa10e8, 0xb8f5355f, 0x99a96282, 0xa89103e8, 0x1da09f0e, 0xc8fc6352, 0x54a08b2e, 0x3982f8c8,
+    0xaa27e822, 0x70c0a9e2, 0x7031fe65, 0xb7e25731, 0x8ce4dc6b, 0xdb12e567, 0xaa2d51e5, 0x9da4059d,
+    0x3164b5b6, 0xc81a03ca, 0x5c015e13, 0x02dfd684, 0x6fa86976, 0x309e9858, 0xa1c5e44f, 0x2f93cc09,
+    0xa3dd619e, 0x092f61e9, 0x9f16f3fd, 0xd5d95de6, 0xaaf26683, 0x0234ad99, 0xcbf0f16a, 0xd1833d28,
+    0xc422ee41, 0x083cd11d, 0xaf963cc8, 0x4b30dda7, 0xec00a851, 0x6f431b8d, 0xf4677993, 0xbc05c370,
+    0xb951a126, 0xf5c3831e, 0x2aec0add, 0x994af67a, 0x96bcffe9, 0xed94d42e, 0x8bf62ba0, 0x6bd17944,
+    0x5b249504, 0xa2f00d95, 0x9b680349, 0x51abd64c, 0xc9df05e3, 0xfc615431, 0x20b8e8a5, 0x9a731f14,
+    0x9c33d3ac, 0x4923417a, 0x1d19a06b, 0x3cf693e8, 0x575f8ceb, 0x0e4669c5, 0x05e0f234, 0xc50f5cb0,
+    0x89687317, 0x75fb6514, 0x25b9cec1, 0xe21216df, 0x69686a4a, 0xc968f1cb, 0xc8c467eb, 0x9ad5bfd3,
+    0xa7e3c051, 0x50afe1d4, 0x0d917425, 0x9328a108, 0xb8364e48, 0xe269e90c, 0xedc03199, 0x430e3e17,
+    0xec0e5345, 0x69415f26, 0x47a77870, 0xe46aa076, 0x1408390b, 0xb6ee354a, 0x4624083e, 0xa09498ba,
+    0x14fae9e7, 0x527819ca, 0x1ef4e9d4, 0x755009c1, 0x3bd34044, 0x49895ef8, 0xe9f4d6f4, 0xd07c3805,
+    0x0a02a283, 0x93bb666a, 0x85771d98, 0xbc1d9e6d, 0xcba56db8, 0xab840c29, 0x12c09945, 0xa89e52a6,
+    0x00000000,
+    0x35ee4804, 0xad0bd614, 0x24beab63, 0xd51f3a3e, 0x650fde9d, 0xe7859d06, 0xb6ac8082, 0xb3ad4e91,
+    0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000108307409926594330452281804068089207165485823256867\
+                         83496759685861775864483615725089999900023844295226942934417817982702456930304 */
+  { 0x00000000,
+    0x1a4452f0, 0x44f049d6, 0xc2ecc4f0, 0xe769a514, 0xa727b6d5, 0x9dc1723c, 0x8ac2c71f, 0x5a13446a,
+    0x73ed9c4c, 0x74f0a57e, 0x5a3a9f65, 0x24b98b5f, 0x6dcf6185, 0x46e6f72d, 0x2feba358, 0x861bfa46,
+    0xd5a0e033, 0x08adc49b, 0xee222b05, 0xd35a3506, 0x822f046b, 0x494b8a0f, 0x9c1d86a4, 0x1972cfcb,
+    0x57ced340, 0x9fe158be, 0x49422114, 0x6f45fddb, 0xbb2995ad, 0x62e5699f, 0x3c03c9c0, 0xa75d2a95,
+    0x5a724eea, 0xd99614e6, 0x374e2af3, 0xffd608ed, 0x63932665, 0x6958251f, 0x4c4800c7, 0x09658517,
+    0xc5bc5cab, 0x0a64aa4c, 0xfefc101e, 0x38c74328, 0xe144a18c, 0x69474c1e, 0x23fc9b74, 0xb10eeb68,
+    0x4b997389, 0xbd93fe2b, 0xdb51324a, 0xfdaa6379, 0xf95fd36f, 0xc402c906, 0x81e91e88, 0xf69f9a1a,
+    0x161f4899, 0xad3ca0c3, 0x74027f4e, 0x5f5f2760, 0xb9d1e998, 0x67f6a2a0, 0xe667ef45, 0x3b38037b,
+    0x13a5761e, 0xd386fe30, 0xdbbea6a9, 0xc79b5986, 0xd50a045c, 0x6a2239ed, 0x6ed1cba8, 0x7277d8c4,
+    0x2abd640e, 0xb2df2bd8, 0xec78532b, 0x18cdb3bc, 0x90319d64, 0xfadb4d27, 0x24c78d75, 0x50d9cdcd,
+    0x1bb17d01, 0x853c487d, 0x804f5b89, 0x857524f6, 0xe38cf1d9, 0x60cdfe85, 0x1f771b36, 0x48d89439,
+    0x96157cf1, 0xe1c01753, 0x389d5f7b, 0x0737be53, 0x4b18a5a8, 0x2fb72f9f, 0x5bc41fc7, 0x2224bce2,
+    0x7dfa64d0, 0x8f3c946b, 0xf39fc952, 0x1239847f, 0xd61a88a7, 0x27871d91, 0x69395cbe, 0x9ebe8584,
+    0xa0962b8b, 0x9309a36c, 0x5977f438, 0xa60d64b3, 0x47799c31, 0xf4308c96, 0xe2d28b70, 0xc8665174,
+    0xb8190910, 0x5c3aae28, 0x657e32ac, 0xad701e02, 0xb935ffab, 0x38ef969a, 0x7ae67d62, 0x3e15f2dd,
+    0x73b942a0, 0xd0248fd2, 0xe8edbc98, 0x57a76ca1, 0x2556f7f8, 0x892062da, 0xf8744082, 0xd49ee28a,
+    0xd09b8467, 0x2a9cdd3c, 0xa31dd71c, 0xd9ebbf8b, 0x355518c6, 0x112850a5, 0x3e765b37, 0xf05d2708,
+    0xd37daa39, 0xe8afbda2, 0x79739933, 0xecafcab2, 0xce02f004, 0xf6dd6656, 0xeeef6493, 0x833eff49,
+    0x4a8e0d9a, 0x54a1ca50, 0x2ea5b521, 0x1b238347, 0x9a31b23a, 0xd2a725ec, 0x93c8def7, 0x50ba1110,
+    0x37793b8c, 0xb4a04177, 0x7881a44b, 0x1aa9a1b7, 0x9fee1204, 0xabf7a8ce, 0xbc7c2f3c, 0x198d336f,
+    0x4dc79f60, 0xd2a20615, 0xd3e23e71, 0x9904a386, 0x3d6506c3, 0xbd86d13b, 0x1a0e8c07, 0x99ffc91a,
+    0x1ca9aa5e, 0x903e9e50, 0x979eda5c, 0x760cbc32, 0x46fb6d1a, 0xbaa8d3c5, 0x655d3b66, 0xad420a1a,
+    0xc4d106d3, 0x80da0c84, 0x8d5ad56c, 0x09d174cf, 0x83878336, 0xa47edcf5, 0x6eb67cdd, 0x0eef524f,
+    0xb4803fe3, 0x69dec81a, 0xeeaedf69, 0x87cf1069, 0x9e6fc4df, 0xb562b321, 0x146c04d5, 0xa4180539,
+    0x0585c4cc, 0x72bb804d, 0x7b5d0798, 0x05441d4c, 0xacabb79c, 0x014d25a9, 0x449744e4, 0x49eb1417,
+    0xdb15e0a7, 0x954e4a4d, 0xc2e67077, 0xae9ff737, 0x5c2a801c, 0xf3d218d0, 0xd15a9ec8, 0xce18865e,
+    0xc33985d9, 0x941452ef, 0x7f7462ae, 0xe92ac343, 0xf458a87f, 0x8ff53b81, 0x42d3e372, 0xeb4485c2,
+    0xd48df3c2, 0x50ea1fe0, 0x40068650, 0xf124f948, 0x0425fcaf, 0x99aa3b57, 0x2189e746, 0xce5eb69d,
+    0x12964db8, 0x650c2e10, 0xe4f96e4b, 0xc13cf0c8, 0x61e8221e, 0x600fa78c, 0xd29d24b2, 0x94b6823a,
+    0x105adfac, 0xa6cbd616, 0x7bca28ee, 0x535efd4d, 0x72369676, 0xc9b39816, 0x2032701d, 0x87ab5ef7,
+    0x9072743a, 0x9a29854e, 0xbd39a810, 0x84b89670, 0x6250ef01, 0x9038f66e, 0x0e3696a5, 0x530620e1,
+    0x6d06ccec, 0xdae06ee9, 0x9a58cc4c, 0xc3c83b5d, 0xd44ee7cc, 0xdc30d5ef, 0x14fdde2d, 0x005706bc,
+    0xc8bea701, 0x0f4fdd66, 0x0921c1d2, 0x769dfa92, 0x86f78c73, 0xfb287e5a, 0xbe829611, 0x57080e9a,
+    0xf2cc7e51, 0xe5dc9206, 0xeba7fc27, 0xa244b921, 0x7ef98fe6, 0x27347819, 0x0c97682a, 0xe8d37e15,
+    0xd47c4d1b, 0x946343b1, 0xe018f8ed, 0x195d534f, 0x3a4e8727, 0x488d98a2, 0x14f5b55f, 0xb6a964e0,
+    0xf6374efe, 0x09caab17, 0xdf0ee43f, 0x2cfa404d, 0x2690aaf5, 0x34072da2, 0x7bbaa6bf, 0xe5602a81,
+    0x9989aff4, 0x42ff5d5d, 0xb5c888c4, 0x7d6b6ccb, 0xeed5e30f, 0x6fb71e71, 0x8896ce22, 0x67fbbbee,
+    0xcdd6c970, 0x600a047d, 0x648f9bd7, 0xf96e45fd, 0x8625fedc, 0x4d8e78ab, 0x8f6f9afe, 0x8d0c226a,
+    0x04c8be21, 0x029ef106, 0x288945a9, 0x228c7612, 0xae8552f8, 0x773bf11d, 0x3d811945, 0x0812c2fa,
+    0xc6a29304, 0x1bc8915d, 0xbeecfa9a, 0x252a10af, 0xc3f529ca, 0x37af74ee, 0x5e9f0f92, 0x250f919d,
+    0x4312d0fc, 0x40b58893, 0xb812ce54, 0x97be4bbf, 0xc650f8aa, 0xc0cf33ba, 0xfadf2589, 0x99891c1a,
+    0xbf5f6000, 0xfd9d2a9f, 0x655d5207, 0xfb8b775b, 0xe8f83bc2, 0xb54e496a, 0x9a80319a, 0x62e62ce6,
+    0x1f9964c9, 0xc0592ccf, 0x57ff163f, 0xbedd47e5, 0x7e315ea0, 0xecec9ade, 0xa56c270f, 0xccbc4ba1,
+    0x23b3cf69, 0x99033da6, 0x5fddbbc5, 0x39a4aa9e, 0x7d9a8799, 0x2cc46c59, 0x39763886, 0x33d85135,
+    0x45eaec60, 0xdcdc7517, 0x957239b1, 0xcbbb72e2, 0xb60e68ed, 0x19511059, 0xc7d1b254, 0xa7f27d76,
+    0x971e5010, 0x7dbed0e2, 0x5dfebd78, 0xffd45260, 0x25f6e016, 0x8f2d0b72, 0x1d288b12, 0xbc9f3b46,
+    0x7645ee44, 0x03d03b06, 0xf2640bef, 0x6a575784, 0x206e2fbc, 0x96108719, 0xfe1ed61e, 0x953acc9c,
+    0xf2171b6e, 0x9b08b4cb, 0x2e7b16e2, 0xf34a2876, 0xf84f7920, 0x798ae488, 0xd1212b4f, 0xecb2267c,
+    0x5628602b, 0x5b592150, 0x9e34aeb2, 0x75f90ce7, 0x1421ca10, 0xf5a99bbf, 0x3bc660f0, 0xae682c8b,
+    0x96be8a40, 0x4f443d12, 0xcc03973c, 0x25b4973b, 0xe273f1fa, 0x1e261430, 0x0920fbd2, 0x3e75e48a,
+    0x8a6d855d, 0x856fdd4b, 0x118fe3ad, 0xcf0aff49, 0x557126cd, 0xb5eaac80, 0x7c49b15b, 0xe2e07ff5,
+    0x0b3edfda, 0xf92a7657, 0xbc87a7a1, 0x292650e0, 0xe9b9c1db, 0xb9ee2af6, 0x2959ab84, 0x0bd0b116,
+    0x48a42b74, 0x15bd288a, 0xcf89c2a2, 0x9e1f4766, 0xa73a006f, 0x116ea578, 0x2d3726da, 0x76a02737,
+    0x15cf2975, 0xcad189f3, 0x7e6de690, 0x30c025e3, 0x2d2783ca, 0x852f4bec, 0xf3906e05, 0xbc3b0e63,
+    0xda674af3, 0xc169267c, 0x3bdb7306, 0xb8068197, 0x1e9c1ad8, 0xc34f2c10, 0xa89876ef, 0x4190bfd3,
+    0x8f761be7, 0x9398c3e8, 0xbca8bfd8, 0x897cf100, 0xe6518897, 0x61070a76, 0x1927c10a, 0x34173690,
+    0x24b0c6e2, 0x06d7a48d, 0x839058f3, 0xb3d90827, 0x08d6d6fa, 0x1de4d12a, 0x8b05e356, 0xcea0e921,
+    0xc5a573f2, 0xbc6f5c2d, 0xba9b220b, 0xb32c36b1, 0xa9ec39dd, 0xfb48bbd3, 0xf05fb53c, 0xfff74131,
+    0xf352565f, 0x591a72bc, 0x0385c4a7, 0x391cff98, 0x7813831e, 0x6aaaf490, 0x8cb33e42, 0x6c560f8f,
+    0xb127e20b, 0x0c8312c5, 0xaffbfba0, 0xf70af387, 0xc197d7a7, 0x87b4a5d1, 0xee4ea30d, 0x918a48ca,
+    0xd3897813, 0xcd1bcdbc, 0x8093a1d8, 0x94640fec, 0xbba6d02a, 0x1e15c3e5, 0xb076c44f, 0x34bf7343,
+    0x365c4a74, 0x90422aa6, 0xc753fb31, 0xe05ffdf7, 0x490a1a3f, 0xac03a78e, 0xba4d3e68, 0xc78a40d9,
+    0x8cf1d195, 0x3ccb782c, 0xeea17fb8, 0x84b6fb57, 0x31ca3fd3, 0xba8ae0f7, 0x5e4389d2, 0x9c544e40,
+    0xd14610d2, 0x4c5c25cb, 0x4448f287, 0x696f4c67, 0xaf9aabbc, 0x004a5047, 0x6898e0c9, 0xd38ad5a7,
+    0x61eee183, 0x53adf199, 0xeae1fb2b, 0x68ed48e9, 0x1ed99b43, 0x7ec5bfbb, 0xd01a3687, 0x36ca876b,
+    0xd8ce050d, 0x856e7102, 0xf7ae69df, 0xadebb4d1, 0x2be6392a, 0xac101756, 0xda568861, 0xc67dbf8f,
+    0xba4e8b0f, 0x3d58dc05, 0x43101be8, 0xadf0d622, 0x5a8ed55d, 0xcf169db8, 0x37279a6d, 0x7c159546,
+    0xe0a1afc5, 0x3b4aafdb, 0x5303feb4, 0xb6cd4fbd, 0xb07ee4b7, 0x4f4219c2, 0x7e6f6317, 0xded014aa,
+    0x7538813f, 0xc934ed31, 0x08b0f8ef, 0x49165ea2, 0xf6a8b15d, 0xa579715b, 0x03372c4d, 0xbf71c384,
+    0x84325625, 0x436ba18c, 0x8af16261, 0xe5a5e095, 0xff9a5ba9, 0xe24295a2, 0xb3f1b793, 0xf499519d,
+    0x7329c49a, 0xfffd0a56, 0xe79c2112, 0xb04c3832, 0x616bd433, 0xd8db266b, 0x969a7356, 0x96818229,
+    0xf55c9a66, 0xefd488f3, 0x2edcbf05, 0xb20c10a8, 0x9cf46000, 0x5273c365, 0x67dba9ff, 0x391e358f,
+    0xde411af2, 0xaf4d5e5a, 0xd3c0fadf, 0xe0ea35e6, 0x37a27b68, 0x80eb0b6a, 0x84c779ab, 0xc44515f3,
+    0x2de56416, 0x599b29de, 0x9ad2d2e0, 0x76a91b70, 0xd687087b, 0x1962df83, 0xdd0bebc0, 0x99a72f9b,
+    0xc7a73963, 0xd6d41e26, 0xd2b99082, 0x7c4f1f21, 0x6715ae60, 0xbc14b116, 0x8bc9f196, 0x27b80ae6,
+    0x055440f0, 0x964787f0, 0x7667892e, 0x5f25944a, 0xc1ef2aa2, 0xce73d47a, 0xd6e9ddf3, 0xc1f75123,
+    0x6dab9917, 0x0b72d69d, 0x7174301f, 0x303e5a01, 0xe0b01fa2, 0x1de0139d, 0x45991f49, 0x3a724407,
+    0xdac81bf2, 0xa87fa132, 0x57636802, 0x61a9351a, 0x81a2dad3, 0x95373549, 0x7e233311, 0x995345dc,
+    0x05b285a5, 0xeeeb6549, 0xa6aff26c, 0x1e8a40fd, 0x2f277b36, 0x171be512, 0xd3a8d7df, 0xf51370ba,
+    0x1b99ea5a, 0xc8fdb727, 0x1e2cf3b2, 0xd3162792, 0x66288d45, 0x48ee6710, 0xb2e2f716, 0xae3c85f1,
+    0x17b42a3d, 0xacd72384, 0x2357d0e4, 0x1b1972fa, 0xcaebebce, 0x29269bdf, 0x323ad349, 0x6ad744bd,
+    0xd17c4b7d, 0xee7fd5bc, 0x51199f1e, 0x21c04b0b, 0xd123bda9, 0xf3bb69ab, 0xce6b2b49, 0x5146ff8b,
+    0xf99aab93, 0xb676f22b, 0x84cd7cd0, 0x183d7961, 0xfc79d617, 0x8b4ebc0c, 0x262f75f7, 0x19ca852f,
+    0xb4e4d4c1, 0xc4db4779, 0x20064ed8, 0x2f0b9551, 0x8eeb98e0, 0xcdb5009b, 0x287a4f22, 0x9c684310,
+    0x8d9f93a0, 0x0cc2e6ba, 0x4e0fa371, 0x3b7dfb3c, 0xa6c349d7, 0xd439e06c, 0x79390310, 0x93340679,
+    0x528e2b8d, 0x80ced351, 0x39768636, 0xb31e2365, 0xb4181b8b, 0x0cd6886d, 0x192458cc, 0x8442fa35,
+    0x13321a8b, 0xba487ff0, 0x220ca280, 0xc24bd6df, 0x7effce45, 0xc9848e96, 0x01790708, 0xaafed79d,
+    0x66e5b23e, 0x717410a7, 0x32c7bd10, 0xa8127a3d, 0x141f3080, 0x263350e4, 0x179ae884, 0x317c6127,
+    0xac7a25cd, 0x25b5e2e3, 0x9b1fd2a6, 0xf726a5a6, 0x890cca79, 0x6c011012, 0x9bfa9592, 0x420acadd,
+    0xf81fd07f, 0x82fbf915, 0xf229c5b9, 0xd1f66089, 0x5c34f968, 0xff6d2acd, 0xd98bcea2, 0xb94d7695,
+    0x62ef9b78, 0xb8e593e6, 0xdfa8e931, 0x3f957bf8, 0x178970ca, 0x530ba646, 0xbc7b24b1, 0x9aea6921,
+    0x261ad543, 0x44338d02, 0x9c2f6be9, 0xcf660326, 0xc9da777b, 0x9dca7a76, 0xbfedc503, 0x4b8f74ef,
+    0x1a627303, 0xeef98c29, 0xcb22aa84, 0xb5a8e34d, 0x747c0bc1, 0x3fafb98e, 0x2c860ccd, 0x624e671a,
+    0x3ebd96a4, 0x79f2f642, 0xc79044a5, 0x2dd34272, 0xe2418cc3, 0x668e8768, 0xfe270bec, 0x4f89bfdf,
+    0x100e3f2b, 0x202cc5c9, 0x6bd6162b, 0x75c4b983, 0xfd815c12, 0x2262782d, 0x688b0518, 0x22ab92bd,
+    0x9d031537, 0xddb7c585, 0xf022cf93, 0x00ccbfb8, 0x7fe43104, 0xd26ad3e3, 0xd63dba3b, 0x1429e2d2,
+    0xc5a0344c, 0xe1d38c97, 0x4c3fce63, 0x331344ad, 0xfefb85e1, 0x8df4c664, 0x154dc407, 0xac635c32,
+    0x080e0ddf, 0xcc7b6edb, 0x1b2807bb, 0xd6303034, 0x052159e0, 0x1755952d, 0x8269b07d, 0xeda69517,
+    0xc549064f, 0xdf86992d, 0x559db3c1, 0x1473ab43, 0x3a2d8695, 0x9d99ec8e, 0x7a86e5c8, 0xb60c49ce,
+    0xa0420326, 0xb3dc6c89, 0x04ef41ee, 0xbc2bb2cf, 0x38184321, 0x07f7c607, 0x2678f0db, 0x6f8f9c26,
+    0xcd130358, 0x3dd81842, 0x3c668f1d, 0xdab23783, 0xaa72a927, 0xcf08d566, 0x09587b7a, 0xe56dbf1b,
+    0x3c671033, 0x8c33c24b, 0xe148796c, 0x5aea7e21, 0x6d016fe5, 0xeb1277af, 0x7bbf4150, 0x4cef6b5e,
+    0x48cd3f6f, 0x8ae56c8e, 0x64e97769, 0x27898e69, 0x24ae1a8e, 0x95b6c3a3, 0xebee147d, 0x4a86c559,
+    0x87848467, 0x17004e28, 0x0e2d844c, 0xf199b82d, 0x52b78ed1, 0x9c5dd2f5, 0xba0ea0d3, 0x0db21248,
+    0x2e65b653, 0x646a1bfb, 0xc7b32eef, 0x4154f533, 0xf0473124, 0xe0093657, 0x405c5b7c, 0x67dfd100,
+    0x827b5cbc, 0x05c95513, 0x2b798fdd, 0x39da6f9a, 0xcd71c7e3, 0x4dd304d0, 0x0f4bec06, 0x271e9316,
+    0x801dd023, 0xee8bca2f, 0x7f0c6161, 0xff72f797, 0xa8c8138b, 0xe75818c9, 0x28934050, 0xbbe2f825,
+    0xa2bfc6f4, 0xd4bc7660, 0xb92333b1, 0xcc33aff4, 0x83f80ed1, 0xec56631b, 0x588494f8, 0x3c9da62c,
+    0xe51c2f65, 0x6e10c09d, 0x8db4c9ea, 0xa8d3c98f, 0xd85d436c, 0xd533e585, 0x08391063, 0xc6d811d0,
+    0xed844a1a, 0xcad24466, 0x35f5a24b, 0x2f88b2ec, 0xf8b22280, 0x9f238552, 0xa02bcbc2, 0x1082a9d5,
+    0xa54a11b0, 0x17bd7cf3, 0x00eec7a4, 0x74418088, 0x36f07955, 0x3a5b67e7, 0x84e8bbd6, 0x7a8beceb,
+    0xa463432e, 0x8ce0c7e4, 0xe9bc2734, 0x1719891b, 0xd7a41753, 0x6562974e, 0x04485a00, 0xdd98aad2,
+    0x4e4284be, 0x385d4d1d, 0x9295dde5, 0x5f37e179, 0x8c781fb9, 0x48c8b74b, 0xbfbab7ea, 0x24af7ea8,
+    0x08fa90b0, 0xcb8f4cfc, 0xf739b6d3, 0xe9b84df9, 0x62ea8565, 0x9efbd90f, 0x6a8e13ff, 0xd95ff9f1,
+    0x6bb290dc, 0xca0c42a1, 0xc3c80869, 0x88c1bcd1, 0x916d7ee3, 0x1ad0d2b6, 0xdf0a1a74, 0x0be8274e,
+    0x15724d68, 0xb1f48f8f, 0x94b6e0c6, 0x346383cc, 0xcb271af2, 0xe19d8092, 0xa2a0f5c5, 0x8a2c01d7,
+    0xcd3d3b6b, 0x40bcd2a3, 0x68031afb, 0x37b2e678, 0x3e556575, 0x50cb4f52, 0x6e08f01f, 0x079417bb,
+    0x7ae6141a, 0xea52d2a7, 0x0877a268, 0x2c974294, 0x14cbb5c2, 0x5bca04b0, 0xf9d771b8, 0x1fbb3c90,
+    0x1f7ef8cb, 0xfc7f68a1, 0x52b89d56, 0x1a7c2ba3, 0x707115a7, 0x648ccae4, 0xa1e04a84, 0x72de65a7,
+    0xe3ad1468, 0x4f0c6112, 0x9d9f566b, 0x143708e6, 0x1d205ed2, 0x0a016de9, 0x61d7a82c, 0x4daf1bb0,
+    0x4c4bbc90, 0x9ba2bb24, 0xc536e6d3, 0x265cd85c, 0xbc226f5d, 0x3303710b, 0xaec8e4d8, 0xdb97ba97,
+    0x088d8a6d, 0xe0179b55, 0x3771e5f5, 0xcd9b36cb, 0xae66d3ca, 0x408bd7ba, 0xbe0e7d37, 0xc36676a7,
+    0x9917ab2e, 0xb8c8fd59, 0xbdc8812b, 0xf6c54a33, 0x783540f6, 0x86a594e2, 0xc469ac0b, 0xf8d3057a,
+    0x70e8c91b, 0x143f1059, 0xb49ca3fe, 0xd68ad186, 0x4c0ff9cc, 0x26893532, 0x78d7f978, 0x7ff30da6,
+    0x07a727a5, 0x3441d060, 0x4342cc38, 0x7ea02c1b, 0x9fa209a5, 0x0f46aeb4, 0x7b8af4aa, 0x60948231,
+    0x81234f3b, 0x55bb30fe, 0x003135b6, 0x7f696a45, 0xc75466d2, 0x34b21d1d, 0x7948627c, 0xcfc3db65,
+    0x00000000,
+    0x1af72401, 0xd685eb0a, 0x125f55b1, 0xea8f9d1f, 0x3287ef4e, 0x73c2ce83, 0xdb564041, 0xd9d6a748,
+    0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000054153704963297165226140902034044603582742911628433\
+                         91748379842930887932241807862544999950011922147613471467208908991351228465152 */
+  { 0x00000000,
+    0xbb3ba5a0, 0x85b33d0f, 0x33589d23, 0xeee42c13, 0xeba80067, 0x8448305e, 0xb1475d56, 0x2cd29f75,
+    0x3414886f, 0xe7bae490, 0xc389cbd2, 0xea21c278, 0x393689b9, 0x40562844, 0x7be58933, 0x3b03aefc,
+    0x8263dd2d, 0xac1f0e7e, 0xe718e5ce, 0xce03ac85, 0xb0edc141, 0x04cbd0c9, 0xd901df0e, 0xb4d1e1ec,
+    0x5fe746a9, 0x24009523, 0x3ea4584e, 0x29bcf6f9, 0xb9bd9fc0, 0x9d17a2af, 0xfc36542f, 0x8904d138,
+    0x88a4d773, 0x8cbbe509, 0xea880447, 0xb1a61765, 0x7a06166a, 0x2eedf180, 0xfb20a067, 0x3a90056c,
+    0xba58560e, 0xaed937bf, 0x86df1606, 0x64a4960c, 0x5eb61693, 0xb094431b, 0x4958a09e, 0x87809f94,
+    0x84a04c84, 0x1b15ae0a, 0xb207cdc7, 0x6400860c, 0x175555b3, 0xbdd48259, 0xa4864a4f, 0x173d1a12,
+    0xa3f79d10, 0x0b0710ac, 0x310f44a9, 0x99aa92c0, 0x54ffe535, 0x731c99d0, 0xfbee79c4, 0x21e14176,
+    0x9e8c1810, 0xf660b0a4, 0xd676c337, 0xfd78c80c, 0x18e2910c, 0x20c58171, 0xfad5c456, 0x278badf9,
+    0x3b4a0aea, 0x56f81b4d, 0x7ffae50b, 0x5505631c, 0x31e34ef3, 0xfc2f17e4, 0x781a3c55, 0x26ad3733,
+    0x37f1eecb, 0xe27d178c, 0x0dbe669d, 0x0e291e24, 0x0df81ca9, 0x5354bf76, 0xe5f20ac5, 0x05bba81b,
+    0xd33b69a9, 0x127957df, 0xbb27da71, 0xd24cc8b6, 0x8bc656ff, 0xa7199922, 0x3d5f41d2, 0x5d2c2520,
+    0x30559340, 0x65a87417, 0x6195c96d, 0xfff4dc89, 0x44adaafe, 0x4adc8e7d, 0x1978668e, 0x5a16c219,
+    0xc317dcd5, 0x87f4c308, 0xd0291d25, 0xb2848af7, 0xfd89a245, 0x1260d060, 0x3d3d9723, 0xe2581441,
+    0x46e70b10, 0x15c34697, 0xf941b9d7, 0xcf357d96, 0x16a95c3a, 0x3f5d7723, 0x7406bb5a, 0x23016f2b,
+    0x9f581076, 0x2a90b047, 0xb192fc4c, 0xb19ca434, 0x900b8c15, 0x0e81e1ec, 0x010ca4d1, 0x9b84a929,
+    0x6e7618d5, 0xa2bb75ec, 0x7becdad6, 0xf8c08521, 0xf025a53b, 0xe4cccdb6, 0x76ce0400, 0xd7bf13c5,
+    0x89a04041, 0x4df6e564, 0xcd826cbb, 0x4a4a0cdb, 0xe895ab97, 0xc61aedf0, 0xb3c12352, 0xa86b1c1f,
+    0x412d80e1, 0x5ad2f641, 0x283283ed, 0xcb31a799, 0xc403da72, 0x708afc4a, 0xc217bdbc, 0x888c380f,
+    0x716acd81, 0x6deb4be5, 0x8d12c943, 0xa8b85d33, 0x0b01ed27, 0x657e23cc, 0xfa9bc103, 0xc10e2b82,
+    0xb5940263, 0x8aa348b9, 0x464ae690, 0x83e139c3, 0x553a4674, 0x34fc789f, 0xe1597146, 0xc10b4fa6,
+    0x0d9b580b, 0x3bf51a52, 0x2bca9847, 0xf162f35e, 0x45f9e92d, 0x60413b7f, 0x18496d25, 0x6a711e4d,
+    0xdb86c9f8, 0xc7405a31, 0xe59f3324, 0x254b65cf, 0xf4a8d957, 0x8a597e2d, 0x19b5f069, 0xdc752794,
+    0xa8a56913, 0xe16bc563, 0xab9fb5dc, 0xdc1cc294, 0x56c88c30, 0x619d4ae8, 0x63833b7e, 0x55dd8314,
+    0xe752e576, 0x68ed1023, 0xfb0e4258, 0x42589144, 0xa0ea027e, 0x03d4184b, 0x67551fb2, 0xd1145ecf,
+    0xdc040993, 0x150fef3d, 0x31dd0fa1, 0xbad9a782, 0x31a334f8, 0x0a207b70, 0x4b934010, 0x5ac826a9,
+    0x227e528c, 0xade5de0f, 0xae1782a9, 0xa1ec34fd, 0x88bcff3a, 0x25d6329f, 0x6b63e399, 0xab9936ce,
+    0xdaf9d8fd, 0x4140ca68, 0x81e4e6ed, 0x9188b623, 0xa0ca67d8, 0xb5a7693c, 0x567ab764, 0x3a1e03bd,
+    0x660e0dcc, 0x5e8c0f8e, 0xd7c8a165, 0xc2d5a9cc, 0x809e31a8, 0xfa081110, 0x6c8f3f9f, 0xb6960fed,
+    0x6c0b5851, 0xd8c99776, 0x781bee0e, 0xd5efa1eb, 0x0729c395, 0x7ff5e9a9, 0xca856210, 0x06bc9357,
+    0x45e4fd87, 0x5906b737, 0x347f9cdd, 0xd7d1e412, 0xd9c7d651, 0xb0b2a30c, 0x253ceb29, 0xd77c0eb8,
+    0x6fc734f7, 0x8b96eaf6, 0x4f2f914f, 0x4502780a, 0x7f94905d, 0x946c6934, 0x52699542, 0x02ae5265,
+    0xe4d11de7, 0x46b5d690, 0x348de895, 0x4b6c5441, 0x6b007213, 0xb7d108a1, 0x88a52ab9, 0x9a613f24,
+    0xccea1d6e, 0xdd138cde, 0x8d0eaf02, 0xbbf73978, 0xd7160ab1, 0xd3d8c508, 0x7fc259a3, 0x3a2c6f0e,
+    0xf3f18f16, 0x7aef5931, 0x67b258f0, 0xc0190cf2, 0x02b85a5f, 0x9fd7c54e, 0x95aa2dec, 0x9ccbdbcf,
+    0x32b9a3ad, 0x85ac72f6, 0x0936675e, 0x540decd5, 0xa8fab9dd, 0x2a73e89f, 0xd76e069b, 0x48fb55a2,
+    0xb163f38e, 0x8b3f502b, 0x69828184, 0xc0a9e904, 0x3e763619, 0xa191d69b, 0x94125611, 0xd3b53629,
+    0x11a5eac2, 0xfecc89ab, 0x0a30229a, 0x356f31d2, 0x4f0fe619, 0xb4ec7fd0, 0x14b1fecd, 0x9d8875b6,
+    0x8e2baa04, 0xaf957e8f, 0x09db546a, 0x63088ce6, 0xb8db240b, 0xeccab48f, 0x38a27f28, 0x12ecce92,
+    0x159b22ae, 0xdee4f7b4, 0xbbeb7e41, 0x69e6e3d0, 0xa8e88af4, 0x30cb4d1a, 0xe1f9dc47, 0xfd5250d0,
+    0x9d84afe5, 0xd466798c, 0xb60b211d, 0xecc93a0f, 0xb7657fef, 0x91967fa8, 0x4a0fd972, 0xee483cab,
+    0x57f142d0, 0x05dc04dc, 0xfe8642d8, 0x745d8e6e, 0xf3e164f9, 0x30afbb2a, 0x612bc897, 0x24582c4b,
+    0x43770c9e, 0xcd4c6eca, 0x3f8e21d8, 0x3824aebc, 0xf3031497, 0x5174cfdf, 0xdc84ca7b, 0xc8764c6e,
+    0xe94ed47d, 0xcca99e19, 0xe43ef436, 0x2cc640be, 0x83faeb3e, 0x7d4f67e8, 0x92b23aaf, 0x10f2c4f8,
+    0x7c1c2392, 0x23b8d66a, 0x7aeb0f4f, 0xb72c94cf, 0x531ab0bd, 0xa2d56d73, 0x38445f22, 0xcaa6574a,
+    0x27f58352, 0x2263c61c, 0x7c923df9, 0xf417f9fc, 0x2975f13f, 0x740013c0, 0x3455509f, 0x3af7a980,
+    0x709da7db, 0x603ea0c7, 0xc73a15d6, 0x5ebae7ae, 0x8c056346, 0xf13080c7, 0x583182d7, 0xd625ed16,
+    0x42aa7d6e, 0xd85f37cf, 0xc50be97a, 0xb45b91af, 0xb34e3bdf, 0xa3f1732a, 0xb09f2b83, 0xd7cd3f4b,
+    0x1f558b05, 0xc447c6fe, 0x6816071e, 0x0013632d, 0x6022c417, 0x59048978, 0x79d0c403, 0x1069f8a1,
+    0xac26b89e, 0x04913b0e, 0xc535f780, 0x021be088, 0xa3c14a90, 0x68c28118, 0xcb5d7c6d, 0x260bf883,
+    0x2b11aafd, 0x3a206f81, 0xd29e5d37, 0xdc1ad159, 0x9da1d486, 0x18361dc6, 0x117805bf, 0x270735b9,
+    0x70d38925, 0xc954fa99, 0x3059d559, 0xb473f595, 0x65bfeb8c, 0xd35876a5, 0xb841eb42, 0xfd3cd363,
+    0xdb8d8249, 0x1bde773a, 0x844c7e69, 0x925d3836, 0x72187466, 0xc4b8250e, 0xddb373da, 0x8522edce,
+    0x0b665f92, 0x8af5b710, 0xfdcefec2, 0x2576a387, 0xb1f4aedc, 0xa13e2ce4, 0x2280140b, 0x04baebe5,
+    0xa6edc18f, 0xb0ec47d0, 0x2314e273, 0x2388a488, 0xbce88914, 0xc2114b26, 0xcd00d773, 0x8809397a,
+    0x587aac59, 0x1e144ff7, 0xb4c8f087, 0x17caa8c8, 0x25e17455, 0x62de8461, 0x233ea1ad, 0xf604bf20,
+    0xd2bf8fee, 0xa706fd72, 0x8fe5f8a6, 0x8bf4d00c, 0x382316f2, 0x6b067a78, 0xea1ecad9, 0x1f3e8189,
+    0xd64615fe, 0x01936309, 0xb9abf888, 0x15a3b29f, 0xf30a5171, 0x4ad54830, 0xa67d40f4, 0x5218ce16,
+    0xf04a79cc, 0xcc41df8d, 0xc7504c69, 0x0502fa4f, 0xf8f73d89, 0xced3fe24, 0xbdefb58b, 0x602fbab3,
+    0x79f7d818, 0x7626a47a, 0x1d3f37cf, 0x74949981, 0x7359ea10, 0x8d159d27, 0x1ee7d8cb, 0x6ca15030,
+    0x97902f3e, 0x6213b54a, 0x06b457a4, 0x6692f9c6, 0xe3bd1404, 0x64d52b37, 0x70a8cd30, 0x169aa637,
+    0x2c073f0d, 0xc9b22090, 0x76d07fe9, 0x857bab06, 0xb044032e, 0x855ec7e7, 0xb9919ed1, 0xc010bbab,
+    0xa31cbc09, 0x117536f4, 0xe3126d7f, 0xea22345a, 0x0abe7324, 0x94d19f7d, 0xad5b46e5, 0x086675bc,
+    0xd4942e8d, 0xa10507a9, 0x6db418cf, 0x08bc0b39, 0xe58551e3, 0x9a177186, 0x2e0145b6, 0x97f4bc73,
+    0x1e146500, 0xf3591288, 0x609e85d8, 0x24a654ba, 0x13603635, 0xc7125637, 0x50f97f61, 0x901f9246,
+    0x4d1ccb80, 0xb29fd995, 0x34f74185, 0x1e8c996f, 0x8cf8ff21, 0xb37f6113, 0xa59ba7fa, 0x4b4fe3d9,
+    0xe0099282, 0xc6081c0a, 0x67c0c678, 0xd5bab52f, 0xc313416d, 0x0fb673a4, 0xeb145ec0, 0x74c3ca25,
+    0x2a57108a, 0x56fd80f4, 0x8ac9c7f1, 0x38ae3231, 0x62f2a490, 0xdd47e4c4, 0xbd7a2bb3, 0x08169010,
+    0xdef48564, 0xf1945201, 0x760eb037, 0x809d91a7, 0x4db7b5f2, 0x52d8cc2d, 0xf6ef48bc, 0x392d9b62,
+    0xb8980dfb, 0xe71e59f7, 0x225ca3e0, 0x0e755891, 0x805430ce, 0x4ea6a543, 0xe5850175, 0xf216aaa7,
+    0x3ffa3f77, 0x35c39b35, 0x8672628a, 0x223e6f61, 0x2090ccb2, 0x909ddf2a, 0x671d36ec, 0x862865c4,
+    0x48ba53d2, 0xeb37a731, 0x6ee5f255, 0x1dfcd5a8, 0xd3432751, 0xb4302fa0, 0xacb4194e, 0x4344b909,
+    0xe7e852fd, 0xa71d6e94, 0x2b205aa0, 0x161c811e, 0xa499624c, 0x52054dc7, 0x83665d1f, 0x06db2a02,
+    0x2f4e7ad7, 0x8ffa4d8a, 0x19d9ca02, 0x45d5a8ac, 0x17e83228, 0x265d24ea, 0x9093fdf1, 0xc64ee955,
+    0x5f99fd68, 0xedf021f3, 0x9720fe80, 0x28e74658, 0x606cf90e, 0x9804de1b, 0x7fde7db1, 0x11711050,
+    0x65d9f028, 0x851a311c, 0x89c98e88, 0x6f948e20, 0x7715f85a, 0xf982ef30, 0x0dad1703, 0xf66d6838,
+    0xa4d3afae, 0x56e5aff9, 0x5705ad30, 0x16e562a3, 0x9fefa15f, 0x0b3d52d6, 0xc98612d4, 0xaa6b7f47,
+    0xaa4442b4, 0x8f477994, 0xa6c4fbb2, 0x08f64b86, 0x82ead1c7, 0x346fe645, 0xbc0ba931, 0x4502c680,
+    0x17feeb00, 0x50d1c655, 0x1189493e, 0xa4413b7e, 0x02f4ef82, 0x8582df25, 0xef63908f, 0x6ad436ff,
+    0x609c52d7, 0x680d842e, 0x1e39c2b4, 0x1072f349, 0x62c30f62, 0x11aea472, 0x23ab0c18, 0x5e869d65,
+    0xb02a691a, 0x776667e7, 0x04388b38, 0xde0a990c, 0x7146a58c, 0x6c00c678, 0x676019bb, 0x5234613b,
+    0x86619846, 0x38f50820, 0xf984fefb, 0xb9d1a505, 0x41a62e94, 0x2fded17d, 0xaf27c6f2, 0x508912c7,
+    0xb673e2e4, 0x8dbbbc71, 0xc93a1067, 0x3f730420, 0x585bbe36, 0x9abaaa89, 0x01d0572e, 0xe6089956,
+    0xd4a8f81c, 0x17b5cc8b, 0xea54a660, 0xb1ea40a5, 0xad50bdc0, 0x76e296db, 0x8bcc6ba4, 0x4986e5d5,
+    0x7f065094, 0x82a5ee6c, 0x15924c21, 0x180488b7, 0xdda02306, 0xc86b0e9b, 0x0768c6ef, 0x6161cc97,
+    0xa290c964, 0x58ca81e5, 0x00af7957, 0x1fb44b31, 0x8e0e737b, 0x231a29e1, 0xb4661cef, 0xf933eaa8,
+    0xf21f848a, 0xfceeae42, 0xca2001bb, 0xa61523c2, 0xed101be9, 0x0d17ca1c, 0x9a131f82, 0x86faefd0,
+    0xd4005de1, 0xee8a036d, 0x379eb2df, 0x77e3a450, 0xd9df30dc, 0xf7096d7b, 0xf624a14a, 0x5ca3eccb,
+    0x93e119af, 0x60aaf037, 0x294e0b5f, 0xc15269af, 0x512957ef, 0x81995829, 0x284eb8bc, 0x97a4d7fe,
+    0x940ec9f8, 0x64ecd951, 0x15b3de98, 0xec5e5ecb, 0xa6042e82, 0x2395121c, 0x07cc558b, 0x9cf477fe,
+    0xc75f7e57, 0x68999318, 0x62e24193, 0xed23469e, 0xc9a9862f, 0xa86ca092, 0x16b842ee, 0x942610d0,
+    0xda43ef43, 0x91bf07d3, 0xeccb5400, 0x24117190, 0x003ecf6a, 0xbe31a885, 0x69e86f47, 0xf4c17fa9,
+    0xb7b78aa6, 0x0cd85f36, 0x57cb6c4e, 0x8e747208, 0xc5f3bc6e, 0xf8eba294, 0xc302a690, 0xae7b9e7f,
+    0x14dfca52, 0x226fee4c, 0xc3b29498, 0x3c76939f, 0x780f9015, 0x98413c6b, 0xa8ce9add, 0xd239be00,
+    0xd2caecae, 0xb2e43fef, 0x6435f158, 0x6a8df30d, 0x2f2a8058, 0x7b37a966, 0x54114e4f, 0xf7e4517e,
+    0x63ce75d1, 0x544476d1, 0xe068db3e, 0x4f3b2aa7, 0x811ad1d4, 0x7c4161ac, 0x95dbdf8d, 0x11c498fe,
+    0xf41e8b32, 0x728c77ec, 0xf51e88e8, 0x3585c252, 0xd3c0c468, 0x0774d505, 0x4df9ccbe, 0x13b3965e,
+    0x4f651983, 0x66cc2ac8, 0xfd9d37fd, 0xad93927b, 0x3d7758a2, 0x7b18544a, 0x5a90acdd, 0xe4e726e8,
+    0xb9323848, 0x10bbb60a, 0x73ee247d, 0x953dbf9f, 0xaa765dc3, 0x002f8ed2, 0xf19b3608, 0x735045c8,
+    0x270e3023, 0xb7bff2f4, 0x3e1aa46e, 0x7b28f555, 0xd0b40491, 0x8ecb8636, 0x64c28910, 0x10d39d60,
+    0x45b8552a, 0xb6bf53ac, 0x62ff1fcf, 0xb5196f96, 0x3407303a, 0x664b8f61, 0x9ebf7dd7, 0x6c2abde7,
+    0x1938651f, 0x2e2c56b0, 0x73dbf6d2, 0x178c8a50, 0xe7bcc06d, 0xe8ee60f0, 0x3ccf6f1b, 0x55f723ca,
+    0xdeb17ffb, 0x75f29c5b, 0x0592359e, 0x8962b469, 0x2fa06e09, 0x11c35a49, 0xf5247f25, 0xef592ddc,
+    0xac2ed682, 0xe2cfc78d, 0x01904569, 0xb6f9a3e3, 0x8966714c, 0xf7ce445c, 0x78d6d2e5, 0x216e2254,
+    0x981664c4, 0xa73a8d63, 0x12de8963, 0x2b7eaf7d, 0xfa87d25b, 0x223f3fe5, 0x9f340de5, 0xf31dae7f,
+    0x87a9bb53, 0x8883d3a4, 0x18c13a6f, 0x9e1e78bc, 0x7daa0026, 0xda856c89, 0x5c97d29a, 0xaa21f74d,
+    0x068f096f, 0x47f4797b, 0xe18d98bf, 0x059305d1, 0x5ec11efd, 0xda915073, 0x01abaf50, 0x8c63b392,
+    0x81a73b1c, 0x8a6c0e15, 0x98635d55, 0x1ad70d67, 0x93bdf8bf, 0xaa56b1e3, 0x5e9f9691, 0x39cf3722,
+    0xbec7efa3, 0x86173c9c, 0x60f42f7c, 0x47e60df0, 0x1a81d51b, 0x0f3b998f, 0x6f21fe82, 0xf0d49fd3,
+    0x6df4b82c, 0x6c17f207, 0x0096824d, 0x51d6bb4c, 0x1e53194b, 0x1bb57288, 0xd1c71e4c, 0x4e4ae0b9,
+    0x1b36c61b, 0x7b8a47eb, 0x79cc9cb7, 0x423c360e, 0xdc7152a6, 0xa93552bc, 0x65eacc04, 0x96134c64,
+    0x6e94539e, 0x6bf1129f, 0x0a45fff6, 0x250e400c, 0xbaa3a593, 0xa505a157, 0x53948860, 0x0075ab13,
+    0x52a85df5, 0x9e7d99b3, 0x4474be04, 0xc9549df0, 0x5c7261de, 0x6742d505, 0xe76dc371, 0x561c5d9e,
+    0x2abac549, 0x02e72c8b, 0xc9440410, 0x24bb93b4, 0x4c4c63a6, 0x9918f904, 0x4a48c0d7, 0x6b560c4a,
+    0x049669b8, 0x049a674f, 0x2bc19338, 0xc4056a14, 0xb12d626c, 0x9c2595ae, 0x19c0dc7a, 0x1d7c7d1f,
+    0x9a432385, 0x86382643, 0x20a00b57, 0xf200d200, 0x2dc62623, 0x8261c721, 0x0bfb63ea, 0xcdad3991,
+    0x4866f378, 0x2750b310, 0x72734a01, 0x7d017e32, 0xf5b4686d, 0xe03f0200, 0x7f2f2928, 0x8f817655,
+    0xeadeef5f, 0xfb104ced, 0x2fa64989, 0x0864996b, 0xcb25767a, 0x7e909573, 0xb20a9be6, 0x07f76e55,
+    0x16a0d2c7, 0x212a101c, 0xb011c071, 0xd8f00ea4, 0x9af63e9c, 0xc63e6029, 0x05a4c2e9, 0x99ef1fbb,
+    0x6f32d0d4, 0x98a3f637, 0x91956b56, 0xc8ac67da, 0xf3e7cf97, 0x4a020880, 0xdf8413b2, 0x09d34829,
+    0x23936fba, 0x89af846e, 0xc277661b, 0xc181a1d7, 0x6daa648f, 0x5c5adf3c, 0x2a72d4d2, 0xe47d87b5,
+    0xade38d2b, 0x3ba95199, 0x8de8ea0d, 0x20b88de6, 0xa682299c, 0x7ae6e615, 0x2462e353, 0x5f809d6a,
+    0x78ee966a, 0x06d7acee, 0x63e58e95, 0x8bbac85b, 0x89bb585f, 0x216ddbc2, 0xa1a32568, 0x3ebf4e95,
+    0xf8cdc9ee, 0x458cbe05, 0x037568b2, 0x0532530b, 0x4c9fd884, 0x002cc43e, 0x543deaa6, 0x55cd50ce,
+    0xd733f884, 0x64744940, 0x8f31b2b7, 0x3a7b7ee6, 0xd297aa7e, 0xd18e572c, 0xc14b852d, 0xe5ac3e16,
+    0x992eb7ff, 0xb7ebde9d, 0x8eafb65b, 0xdf30b1c6, 0xe89055e7, 0xbbc73b93, 0x4f211d97, 0xa3139238,
+    0x00000000,
+    0x0d7b9200, 0xeb42f585, 0x892faad8, 0x7547ce8f, 0x9943f7a7, 0xb9e16741, 0x6dab2020, 0xeceb53a4,
+    0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000027076852481648582613070451017022301791371455814216\
+                         95874189921465443966120903931272499975005961073806735733604454495675614232576 */
+  { 0x00000000,
+    0x36c2100e, 0x8e868872, 0xda497eaa, 0x137f1a94, 0x9f40fc0c, 0x526d9fcf, 0x890a2548, 0xb2b5c425,
+    0x88445733, 0xfc05a671, 0x69df7986, 0x5cd2759d, 0x39b304a3, 0x9107ce1f, 0x2dd281db, 0x7f0bc09e,
+    0x98785695, 0x78b79097, 0x1501e37e, 0x89c508c4, 0x91569c60, 0xe9a15fbc, 0x0639cb03, 0x3d8d9017,
+    0x19fcdbe5, 0x6761c3b9, 0x54adbde2, 0x633b15ee, 0x44ad1353, 0xeed1bee0, 0xb5f797d9, 0xcee8bb22,
+    0x43f70d85, 0x1d5e8d4c, 0xdbd513a5, 0x8e69b828, 0x3da311c2, 0xc144cfb0, 0x615d9d4a, 0xd68bf960,
+    0xe0a7b2bc, 0x41ffaafb, 0x1b3b08a7, 0x033a6abe, 0xbf95ff07, 0x204a5bd5, 0xb2f7d757, 0xecdadaef,
+    0x13a4eaee, 0x742bdbfa, 0x47fb9c36, 0x3bc09f6f, 0xba7d4d28, 0x6198d588, 0xab9b319a, 0x2ae0ddf4,
+    0x17bd0687, 0x3eddde27, 0x4318308b, 0x0281e285, 0x285f9f8f, 0xd23bb9e9, 0xf0c2ded5, 0xa3b83626,
+    0xa7891aed, 0x6eee1302, 0x59db079e, 0x81dc90a6, 0x9b1f0d02, 0x84bce7df, 0xda85ed48, 0x42665bbb,
+    0xf36b324e, 0x97d7396c, 0x58d9c7c9, 0x45c47fd5, 0xf3adf6e9, 0xfe290d03, 0x75e4cfdf, 0x813c97bb,
+    0x7a62dbcb, 0x68530312, 0xd9d87a1b, 0xaa8e971a, 0x71dc01fb, 0xa2b8886b, 0x763b48c6, 0xf68a0d87,
+    0xa062c602, 0x6b2d9b2d, 0x35f7661a, 0xf09e0b4a, 0x2ad1e595, 0x8d4349b7, 0x73a0ecd5, 0x31eed623,
+    0x4635d3bd, 0x4cf09f7e, 0xc5985964, 0x2c2b3b30, 0x54383d3f, 0x445a3027, 0x551dd56f, 0x00510af5,
+    0xd1b8ba4a, 0xc0e65de3, 0x658dad91, 0x6bc1f56a, 0x6eb28175, 0xf73bec52, 0x839dc39a, 0xc8d46776,
+    0xab5e8177, 0x5a2ebe44, 0x0d478f5f, 0x1cfdb604, 0x472f3a53, 0x3f284611, 0x45525ba8, 0x9f196796,
+    0x6a049db7, 0xd32dde21, 0x8526b9c1, 0xfbc99d7c, 0xe0011f37, 0xfa6751f3, 0xb25ec871, 0x3e97dbd9,
+    0x79b38272, 0x05172d39, 0x8aa282cb, 0x78b3cb1b, 0x10aa4d25, 0x861dde91, 0x78bc2496, 0x18d1ac3e,
+    0x789b4eca, 0xb2e6857c, 0x969bf53c, 0x08b71fe1, 0x663810e8, 0x7371ed32, 0x1be8084c, 0x97925821,
+    0x14e2adb0, 0x53ce8c7f, 0xd2ca3a2b, 0x38d0dd78, 0x7dd5ff53, 0x57727cf0, 0x8a2f5a26, 0xa659abf2,
+    0x7249aa67, 0xf45b3e51, 0x228504f4, 0x00533256, 0x9dbe7c89, 0xca5bcd59, 0x5365a095, 0xe5378a37,
+    0x4a0e2656, 0x9fe4645c, 0xa94592b1, 0xb30e6971, 0xa799372e, 0xe5d91638, 0x8faee469, 0x3eef13a9,
+    0xd9f65b4e, 0x68257f21, 0x7658bc51, 0x125a8f40, 0xdb6ccb9d, 0xfe452fa0, 0x7389f447, 0x4ba4fac1,
+    0xc8aaf737, 0x4c35f38e, 0x9373fd6c, 0x888c2260, 0x9bafb15f, 0x81822e18, 0x298e4a32, 0xdeacdf82,
+    0x7ad040ae, 0x2e157173, 0xe633dcca, 0x39937d3b, 0x40c53e4b, 0x4e3bbc97, 0x317e0315, 0xec3ff33b,
+    0xa8eb0f97, 0xe50f302f, 0x5c1f4a55, 0x1f37314f, 0x4bb6bceb, 0xb99c1ebd, 0x81dd40f9, 0xd6456523,
+    0x4b033686, 0xe813d314, 0x0caa8dba, 0xb6c0fa1a, 0x016387fe, 0xdc6776c0, 0x60370ca6, 0xbdf04662,
+    0x25f9e16c, 0xf4d20d9d, 0xaeef342a, 0x6ff19cf4, 0x41c992bd, 0xfc79d808, 0xbfa2ce2c, 0x45a945e3,
+    0xce9ddfa9, 0xc74c9aed, 0xcf232edd, 0x3651491f, 0xea9aaa25, 0x094e4aff, 0x6f327384, 0xc988b117,
+    0x5a5b4433, 0x544a12c7, 0xb8f571ac, 0xb218265b, 0xd00064d5, 0x7d4b2a2a, 0xf9d91357, 0xd49c722c,
+    0x47a4ecbb, 0x6fad6fb4, 0x501a7fb9, 0x9adf03d2, 0xc5e8a288, 0x2268ebb7, 0x2ebd6fc3, 0xe1194932,
+    0xe5f345fd, 0x724dbbc4, 0x45a1268f, 0x4c087baf, 0x6fbd7413, 0x3949699f, 0x346c9eee, 0x7aa70bf9,
+    0xccc824c2, 0x48b8856f, 0xbc542381, 0x2f400aa4, 0x80f6f409, 0x22a7138f, 0x686dd777, 0x9564ec90,
+    0x9df188f8, 0xfe7bd410, 0x3ec3dd35, 0x6d5e98dd, 0xb6e9c01d, 0xd10cd41b, 0xec0561ea, 0x2a5e683b,
+    0x4084cdc1, 0xecb2ef12, 0xa41a1ae2, 0xdb66d896, 0xb6408e50, 0xdba9a0b3, 0x9dfe4b44, 0xfc43c4d8,
+    0x51fd2445, 0x31bf34a9, 0x2661b5a6, 0x433baca4, 0xe6db37e5, 0x4a8ef24d, 0xf08ee3ae, 0x750ff23b,
+    0x74f48f6c, 0x2d67ca9e, 0xbf63b57b, 0x12146f62, 0x047d8485, 0x022dc67f, 0x0949da18, 0x9b70a022,
+    0x994e809c, 0x186d74ac, 0x1fc684e9, 0x3d806b86, 0xfef7e31b, 0x5fcfa2f8, 0x8ccf4400, 0x33e384fc,
+    0x0a039997, 0xbbe3560e, 0x5e4555ed, 0x978ce598, 0xb20c88d8, 0x761a95e7, 0x1324ab2f, 0xa1f0e252,
+    0xf19597c8, 0xb1533379, 0x859c2e54, 0x1f7d1028, 0xeb286b8c, 0xde4cc85f, 0xccf27c05, 0x7e2e32c3,
+    0xabe3eb15, 0x48034dda, 0xec854680, 0x3b635c68, 0x748e198b, 0x4e9fde91, 0x02c7ff35, 0x1a8f33f3,
+    0xca682688, 0xadf8da67, 0xc1c68e6e, 0xa7bf7401, 0xfa5eb12a, 0xac83b8c9, 0xaaeba4ec, 0xef01f014,
+    0x2d175355, 0xd4ce8e1a, 0x5dba3cd4, 0x6986116d, 0x49583d65, 0x8510fa49, 0xff55fae2, 0x95294bef,
+    0xbd1e2534, 0x149c56a7, 0x78a1d9ff, 0x9c80182b, 0x6a4cae06, 0x462f7c72, 0x5d40a4fd, 0x5df00cd7,
+    0x5b44d36c, 0x286651c1, 0x27321a4d, 0x8efd3757, 0x32126fee, 0xf951bd36, 0x283f826b, 0x64bc1035,
+    0xa514b02a, 0x647974d2, 0x43eda038, 0x48ac268f, 0x211b0300, 0x774cb7fe, 0xc4523d36, 0x8324aa5c,
+    0xfcb5c12b, 0x31169c0a, 0x332e53c6, 0x7118057b, 0xf43612bf, 0xfff72391, 0x28bbc52b, 0x227528de,
+    0xf1c493b3, 0x26b06a70, 0x1c7e75f5, 0xeb0e87e4, 0x1d692f82, 0xf1bc8371, 0x9711f4b4, 0x9208cab1,
+    0xeb0145f3, 0xadc83f5d, 0xe4f99423, 0xea18bdef, 0xf4114049, 0xb19c2ed9, 0x1a2b55a9, 0x2e722dfd,
+    0x2f857ca7, 0x6b9cebbd, 0x2168f1bf, 0x45ee0aa4, 0xfd55ff19, 0x3680bd4f, 0x3209dbc8, 0xc9666b91,
+    0xb1c932d7, 0xe3e2e116, 0xd3fb53ef, 0x1dabd6ff, 0x2d5f934c, 0xa2bc2bbb, 0xdeb5927b, 0xe6bd2a4c,
+    0x060ebd99, 0xf8fda4a1, 0x84b515b5, 0x57a15114, 0x8cc16bf2, 0xe8554ff3, 0xd43ffac3, 0xf5ce6fbb,
+    0xfe918a81, 0xbe092563, 0xf9aecb1f, 0x5872144a, 0xb82ddfa0, 0xef58f664, 0x68e200aa, 0xaa2d22d9,
+    0x458c972f, 0x0d145f9b, 0xb179b7b4, 0x8a866928, 0x905f3923, 0x9f6dc1a0, 0x4c2b0848, 0x015219c3,
+    0x831a4778, 0x691c8b22, 0xee654931, 0x379e796f, 0x2b52b7ae, 0xeb1883da, 0xe045a48e, 0x4b1bcd42,
+    0x53a3ccd0, 0x7855dadf, 0x58be1ac2, 0xdc1a7f80, 0x56f390d3, 0x6feb6575, 0x8634e1f2, 0xa3dccd05,
+    0xc7a47dae, 0xd43f33da, 0xb628db85, 0xb398a3e0, 0xac6a50bb, 0x30b6b733, 0xdc46a180, 0x8c8d8342,
+    0x7452a71a, 0xd9db0428, 0x27797a17, 0x8c5faf54, 0xd022e807, 0x3546490c, 0xb247639b, 0x6ceca6de,
+    0x341dfc01, 0xd3090b61, 0x823ae397, 0xaecfd84b, 0x9ce42826, 0xa2f80686, 0x2ebe7230, 0xb64003c9,
+    0xa7067770, 0x1b04aafc, 0x8746b001, 0x9ab96365, 0x62e511fc, 0xa5d8316d, 0x3dbc61fa, 0x076d8c81,
+    0x014a7bc7, 0x40a77051, 0x50fbf1bb, 0xb868fb44, 0x9984393e, 0xa865b22d, 0x88221177, 0xc4fae871,
+    0xd74b6051, 0x20a5cbb1, 0x09441b50, 0xab3984aa, 0x6c14bf94, 0x0fed9808, 0xb6de820b, 0x37239c79,
+    0x4f1fd22d, 0xd129cc20, 0x6afe7886, 0x75dec3ec, 0x7fc684ff, 0xe93e48f6, 0xe51df99f, 0x3bb9a7de,
+    0xa911a172, 0xc0722bae, 0x44fce24c, 0xddb753af, 0xabd8c037, 0xa24de420, 0xaad1e27e, 0xae2ee363,
+    0xfe20d86d, 0xbf623772, 0x360b14ac, 0xd01ca9ec, 0x817adaf7, 0x7aa7b666, 0x4f9ae213, 0x18070430,
+    0xa8791dcd, 0x0cb38a60, 0x9dedd343, 0xef2b81ae, 0x20ff903f, 0x23ca2251, 0xcf9ceea7, 0x2b681757,
+    0x9555377d, 0xb76200fc, 0x8e55e26e, 0xb09f1586, 0x041bc290, 0x9c9eada5, 0xbbae37fb, 0x9d088673,
+    0x2174cba4, 0x7f75353e, 0x2205def0, 0xb362beaa, 0x7d411a99, 0x038b9841, 0xb67b31d9, 0x2fbc86b6,
+    0x0f86a0f0, 0x85a8372d, 0xcaf89c47, 0x28001932, 0xa1d42550, 0xfe4b281f, 0xc77ba98c, 0x47fabf88,
+    0x5a71b884, 0xe0797470, 0x64c02fab, 0x51bbcbcb, 0x6aeb7912, 0x28c0e550, 0x36826cb0, 0xfe8734e5,
+    0xc094a51a, 0xeb22944c, 0x8fd52727, 0x5a826a83, 0xd0354f22, 0xa6560095, 0x3e535df4, 0x5b8aa0f3,
+    0x27e8ecd0, 0x987d097d, 0x7b1b2e8c, 0x8f4458b9, 0x9c7df932, 0x5e525dfe, 0x3172e697, 0x64dcaeac,
+    0xdc393289, 0x1e30c26a, 0x9f16d76c, 0x0e54d3c0, 0x434ad94b, 0x3c9f540d, 0xfe85be2f, 0x31de6ca6,
+    0xdc2091e4, 0xd57b12ba, 0xa6b02750, 0xe39451c1, 0x9e4980ec, 0x051fb7d1, 0x9ece2696, 0xbdef687d,
+    0xd2bd81bf, 0x499d86cf, 0x40f8bced, 0x16e9770f, 0x550fe5ce, 0x6b2fd053, 0xab90379b, 0xeba69bc3,
+    0x861ea0f8, 0x7fa85393, 0x4239872e, 0x1f308083, 0xddf7edb5, 0x58e25cca, 0x3fb3b158, 0x977c9d6b,
+    0x35ae8517, 0x3f43da3f, 0x9c51ad22, 0x3218f330, 0x122c80af, 0x339f42ec, 0xf97b7bf3, 0x8452ed4b,
+    0x137c30ec, 0xbad58894, 0xb3583962, 0x263cc42a, 0xeef002f5, 0xa3eb41ee, 0x350e126f, 0xb1374b11,
+    0xb5a7e020, 0x8e611e2c, 0x836e3a36, 0x4ad8aa2a, 0x5ea754cd, 0x78677f41, 0xf5355b1b, 0x95bebe6f,
+    0x6e33cb47, 0x70a304b8, 0x008bc5ba, 0x181ab886, 0x4554cf03, 0x500b53f9, 0x7f80dd44, 0xca342d0c,
+    0x816bbddc, 0xe04f85e5, 0x1cb0f77e, 0x289d8849, 0x59ca9c22, 0x55955fb4, 0x00f5a88a, 0xd7855c2c,
+    0x1669b75b, 0x9a20509b, 0x550e89e4, 0xc4eedec0, 0xb1107a47, 0x9a064baa, 0xce8cdbce, 0xbfbc53b6,
+    0x083a55a5, 0x42bee6b4, 0x374d35bb, 0x1a7dc138, 0x6fd6f91b, 0xdf1592a6, 0xd81fb3f2, 0xccea7c69,
+    0xd696394b, 0x9567c1f4, 0x98d2e55d, 0x1eb0d4a1, 0xf52866b2, 0x51be56dc, 0x296eb09d, 0x9e885c28,
+    0x84b357be, 0xbe2f68b4, 0x158fce4e, 0x9f4879f4, 0xe4da46ea, 0x84c5d342, 0xa58985b8, 0x77fddffb,
+    0x0b65a704, 0xd8917f90, 0xfabbec1c, 0xa655305a, 0xd0312982, 0xa68dc8ef, 0x49a8a737, 0x2e68e7ef,
+    0x0393033a, 0x81b02992, 0x893b8d8d, 0xfcd128f2, 0x9a6222fe, 0x53e9362c, 0x1388491f, 0x24afac40,
+    0x26bc8e9e, 0xa3e0e5f4, 0x20dfc912, 0xb46efef6, 0xa7555d51, 0x234f53ff, 0xe21004cb, 0x3a1c37cf,
+    0x3aaacc91, 0xf92c9c0c, 0x8d2136f7, 0x5024ed42, 0x26423f68, 0xd68cf0d0, 0x6386d287, 0x99adf45d,
+    0x9723644c, 0xeab277b6, 0xa3b8c309, 0xff2c89ad, 0x5d8e9f76, 0xf086e1bc, 0x5930498f, 0x4d6145da,
+    0x1f08fc76, 0xb47518b1, 0x2d18dacb, 0xea70c932, 0x0bff9ed6, 0x96682fb0, 0x0298086f, 0x8c319cba,
+    0x1ed16a68, 0x5b5af782, 0x47521614, 0x12b7ed7a, 0xcc9c5d2a, 0x34833108, 0x237dff04, 0xdc52b1cc,
+    0xfe256ef1, 0x7be4b602, 0x4fd63be7, 0xb52baa2a, 0x0341cf8e, 0xc83aba60, 0x963576a6, 0xb41d2250,
+    0x5648cd94, 0xd0fc0065, 0x89c2003c, 0x2271e237, 0x1686c2ff, 0x25df3e9c, 0x3a3b64dc, 0x7b30c246,
+    0xb91ae64c, 0xbb49613f, 0xc8ddeb59, 0xc4f825c0, 0x1748c316, 0xeed69727, 0x0e2481b1, 0x69f439b6,
+    0x600bde73, 0xaedf2e1c, 0x99ac9c38, 0x3c104ee9, 0x04fdd5bf, 0x43289ee3, 0xf49b5991, 0xfc62381f,
+    0x1a1464dc, 0xfc507185, 0xe2fb6bbf, 0xee9d30b7, 0xad72dd87, 0xf5ba359f, 0x5c2f24c4, 0x719e5d37,
+    0xa6fc4907, 0x3921b018, 0xc3515cf8, 0x8d746202, 0x20aaf26a, 0xdbbf927c, 0x93f6b0fa, 0xe5c71c67,
+    0xded43833, 0x73c134c8, 0x298f2d31, 0x89ba0af5, 0x2857317c, 0xc54d7dcd, 0x37389b3c, 0x620ff80c,
+    0xd0dd69c3, 0xc4d4e1ab, 0x957c1ec6, 0xa2f8b427, 0x5294f841, 0x1e05e99f, 0xbaa6029e, 0x8ee7c3ff,
+    0x71c7d532, 0x1378ed25, 0x6a4d735b, 0xf80f4918, 0x94cbf210, 0x286733c6, 0xdd173324, 0x72700b95,
+    0xf03e074e, 0x25d4b11e, 0xae25d4a0, 0x5fbc2320, 0x259da350, 0xb85d70aa, 0xe0f3426b, 0x584703c7,
+    0x3bfa149b, 0xddb25b40, 0xf6307fda, 0xab6449df, 0x3e30cc6d, 0xb09550b8, 0x2462f43f, 0xf5a031fb,
+    0x7fab6704, 0xcfee5a92, 0xdeb93f10, 0x4e8a1a7d, 0x19d4bcfd, 0x058a9a5a, 0x8e53b020, 0x50288f6f,
+    0x1af1b91d, 0x28ba2987, 0xd2085f59, 0x8337b117, 0x2272c456, 0xff8d3564, 0xac428fae, 0xedd30624,
+    0xf84513f2, 0xf5d325e6, 0xef1b3dcf, 0xb5cd5321, 0x77dfdd21, 0x7579d1a6, 0x4b594cb2, 0x64d6d884,
+    0xc239ccee, 0x0c81c578, 0xefdbe6f7, 0xaf206b79, 0x8c65892e, 0xdb63ad51, 0xd8d27f52, 0x64f72650,
+    0x1cc14d1b, 0xd27a72c1, 0xa3bd04fb, 0x03f159d3, 0x678beed9, 0x7ab43b9c, 0x9e2fb2e0, 0xffac9391,
+    0x9c0a6642, 0xa3b149e6, 0xd5ef6ade, 0x7e7bf0ed, 0x75979c80, 0x7e79d9e1, 0xb22e3606, 0x85ff77a4,
+    0x1ce9c45e, 0x5a97651d, 0x1ddb1534, 0x2adab18a, 0xa070fea5, 0x47eafcf0, 0x4a223d89, 0x337df887,
+    0xbdef5844, 0xe2298bf2, 0x5ff2371c, 0x97b3318a, 0xc65573f9, 0xe36e2638, 0xa22c640e, 0x47782e98,
+    0x8bf04adf, 0xf0dd086b, 0x0466e83e, 0x438b9585, 0x6d94f4c2, 0xe90b5d29, 0x08287c9c, 0x50d55961,
+    0xeb09c231, 0xd55e3b38, 0xc03c01fd, 0x7b6d41c5, 0x70ae8344, 0xdfe1ff6e, 0x2b7e6102, 0xee9bac65,
+    0x9242ea8b, 0x54f66b4b, 0x96bc4f93, 0x42b78224, 0x96ad1dc3, 0x14396ae0, 0xa31c93ca, 0xcf5b08b8,
+    0x2009eeca, 0x081f666b, 0xbe6f2b43, 0x87d3cdc9, 0xf2a02d62, 0x34b2632b, 0x537fbb1f, 0x24e85eb2,
+    0x9030322f, 0xad083eb2, 0xd5cadbdf, 0x56089bb8, 0xfd1503fc, 0x138c61f7, 0xb7bd7622, 0x2dead6c4,
+    0xc84175f1, 0x923786eb, 0xcda453c3, 0x8b67b9ae, 0x7e1b0e78, 0xf18928f7, 0x42e12376, 0xee3a4730,
+    0xe0814c62, 0x86210e06, 0x8ca4fbf1, 0x1de2586a, 0xa878bffd, 0xce659fe3, 0x2fd48b27, 0xcfc683ba,
+    0x238bac46, 0x4e59c386, 0x35a8d1d9, 0x525cb640, 0x60f2c6e8, 0x75ab521b, 0x71b31609, 0x9274eb8d,
+    0x49853733, 0xe495b0f7, 0x1f5b03d4, 0x8d64c708, 0xb2cf1f66, 0x8085af87, 0x0dd68f86, 0x3adef7d1,
+    0x5d7a32ea, 0x1c5a2e4b, 0x37777754, 0xba9161f4, 0x6c084368, 0xca70b0e8, 0xf4900f9a, 0x0aaf23e3,
+    0xb1a7aeb9, 0x02dcc649, 0xd735afeb, 0x522828e4, 0x062caf30, 0x0b7343f0, 0x579e3c41, 0x3e0841e6,
+    0x57d3b433, 0x2b0ab6c8, 0x5bb5a003, 0xba7bb6a4, 0x4f26ed8f, 0x29cf4aee, 0xea5595f2, 0x7a78de2c,
+    0xd2233dfd, 0x62788824, 0xa95ae583, 0xdb86ac9e, 0x5809f9c2, 0x8d7bf9d8, 0xca48366a, 0xf2aefff2,
+    0xcc1d5421, 0x3bc50f3c, 0xa2ff3276, 0xaffe9ffb, 0xe3a99bce, 0x51fd1df3, 0x0ed81bd2, 0xc4637203,
+    0xc4d3c06d, 0x66246e01, 0xa769ecde, 0x60d65aa5, 0xd33f3ae8, 0xc819751d, 0xf8ed8802, 0x104dfd36,
+    0x6314398b, 0xac145327, 0xe57503c7, 0xbafab698, 0xb4b19185, 0xca16ac86, 0xa7367fb0, 0xcc527d43,
+    0x00000000,
+    0x86bdc8ff, 0x75a17ac2, 0xc497d56c, 0xbaa3e747, 0xcca1fbd3, 0x5cf0b3a0, 0x36d59010, 0xf675a9d2,
+    0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000013538426240824291306535225508511150895685727907108\
+                         47937094960732721983060451965636249987502980536903367866802227247837807116288 */
+  { 0x00000000,
+    0xd11202a5, 0x0ce4e30b, 0xdd2ed9e8, 0xcc97148b, 0xdb324ac4, 0x8b940c69, 0xdb673f2b, 0x543ba471,
+    0xd7be0710, 0x97438454, 0x8cae115f, 0xa2a316ee, 0xab92b8f4, 0x1aa626e1, 0xc28a8261, 0xee46ff34,
+    0xa0d39c18, 0x3715b77a, 0x35372132, 0xecf1c70c, 0xf1832acf, 0x5884ba92, 0x4b003fe8, 0x0f6d10d7,
+    0xa976bd9b, 0x29bee37a, 0xd2919935, 0x0156e99a, 0x570d8e4a, 0xb2b82b0d, 0xa4b9aa5b, 0x3d335d08,
+    0x490c55d7, 0xdf624718, 0x6a780a87, 0x5c8879f5, 0xca00c03b, 0xd2e3dc3a, 0x154ddbf4, 0xe022d6eb,
+    0x144053b4, 0x4a4f8e3f, 0x5f6d374c, 0xa3f868cc, 0x6de244d4, 0xb79ad193, 0xa6b984d4, 0xd08f1971,
+    0x02a0cea9, 0x8e8cabeb, 0x72f76373, 0x5d32e855, 0x716e06f1, 0xe35fb230, 0x8149c687, 0x3c081cb3,
+    0xd3e91276, 0x7376536a, 0x8847fe09, 0xad01fa38, 0x44656a99, 0x7b26651a, 0x33aae564, 0x75d95f8f,
+    0xd2afdf6f, 0x4ddc642e, 0xa071dbf2, 0xd5bef22c, 0x98399dcc, 0x3c58fce1, 0x98dcfd54, 0x0a03da59,
+    0xc09e5d48, 0x2611162b, 0x91420e57, 0x1d32ab32, 0x10f04f65, 0x77f5a29b, 0xf8b0cb06, 0xf5eed551,
+    0xe8bae676, 0x9b64f748, 0xf2811db3, 0x96469915, 0x6e0ba427, 0xc5aed1fd, 0x909f3731, 0xbac96b87,
+    0x535df644, 0xf1ba55d4, 0xf77722f6, 0xd3d9e3b6, 0x9f2691b2, 0x31cd74c9, 0xe5b2dc76, 0x14585a3b,
+    0x47091d2c, 0xc963af7c, 0xb69c9095, 0x84d36a69, 0x894983b0, 0x550eebf7, 0x793feb32, 0xf1784643,
+    0xcfa78e76, 0x46900cce, 0x2e23e67a, 0x8f3ae29c, 0xa74e8020, 0xf68e7c52, 0x897529cd, 0xd1742315,
+    0xeffb8bc5, 0x5abf6445, 0x61a7bf44, 0x6087c8ba, 0x2fc3cb9c, 0xf2bb52aa, 0x2ad48ae2, 0x30f712d1,
+    0x1f26f187, 0x250a4e87, 0x4a6774eb, 0xf559c32a, 0x6119939d, 0x5868cec0, 0x64494125, 0x3423827e,
+    0x6708a963, 0x75b777cf, 0x3a714327, 0x4fa4f829, 0x081dcd70, 0x1483eba1, 0xdca9992d, 0x95fa9b71,
+    0x800ae240, 0x31df7d35, 0xda1fe76d, 0x1b049bfd, 0xddbb1c1f, 0x3a47d167, 0x2aa555d6, 0x25925c09,
+    0x8c765115, 0x43ed71b1, 0x2581d8f1, 0x367f17fb, 0x94270aab, 0x689cba75, 0xc44b2f07, 0x33b7f76d,
+    0x759399a9, 0xb96e6605, 0x37f3d201, 0x791a7939, 0xabb456de, 0x425b4b1f, 0x65dac8f2, 0x5da478a4,
+    0x1d546701, 0x79e2848d, 0x4f864854, 0xd36d9f67, 0x906b87bd, 0x5be69d7b, 0xd883e78b, 0x0896a9c8,
+    0xdf3a7117, 0xcf37d543, 0xa6acc20b, 0x6668d310, 0x6779ce70, 0xbab7f51a, 0xbc222abd, 0xa15260a1,
+    0x7f3815be, 0x96ee0eb9, 0xcaae8a8f, 0x9b72ed9c, 0x4e5ba5ab, 0x4e0704fe, 0x36d9f493, 0x9081e236,
+    0x30a1cd2b, 0xac576255, 0x194b27b1, 0x32beed2f, 0x03e40d3a, 0x91f8b833, 0xa99f4997, 0x823e41e2,
+    0x10f9ab9b, 0x6bf1b0ad, 0xb911e8e9, 0x02febf68, 0x062fc4c6, 0x72716bd3, 0xab350a50, 0x632964d2,
+    0x8de7c29e, 0x10af6fd3, 0x3c6e2bae, 0x535adb69, 0x75eec0c4, 0x22fbc62c, 0x0b792dec, 0xf1a90f55,
+    0xd1b15d95, 0xfb3650f3, 0x6ae58e71, 0x8cc97057, 0x5a3fe6c6, 0x7d465fda, 0x8d2883b4, 0x23c5f67b,
+    0x11848373, 0xe9e6afc2, 0x65c4a127, 0xbc42283c, 0x193c9210, 0x007ffecb, 0x85437c3b, 0xe3eb8b27,
+    0x58f6e500, 0x48186bff, 0x8feac440, 0x3341159d, 0x204b3443, 0x589a1a19, 0x0d9d3e95, 0x0d740e95,
+    0x7713e1ef, 0xe2481df1, 0x1afd925e, 0x6951ddd0, 0x534bd3ba, 0xb1817684, 0x44107443, 0xa0a4f920,
+    0xfc6d35d6, 0x63803dfd, 0xddc80078, 0xb64b8e15, 0xe4aa33fc, 0x768c76c4, 0x51fd1ca7, 0xbb68e9f0,
+    0x71093539, 0xe36796e2, 0x386c5930, 0xd0dcb2e0, 0xe8b144dc, 0xc47b200b, 0x121d7201, 0x1e303004,
+    0xb44c4bcc, 0xc007f272, 0x9b78d8f4, 0xfa94671f, 0xe6e87793, 0xcf0b62f6, 0x6eb07f9a, 0x85cf73ae,
+    0xe14eae10, 0x00ab0b2f, 0x63dd62e0, 0xe7062e13, 0xe604feb2, 0xdf5d4fa4, 0xd49b9705, 0xef6b2f81,
+    0x5afde0b2, 0x66827a31, 0xd2c81233, 0x46c7f166, 0x64026872, 0xd24a56e2, 0xd872c6ff, 0x27e42518,
+    0xff54d5e1, 0x7e9ac09a, 0x953d8559, 0x81d43663, 0x19aea405, 0x41659b5f, 0xb84bfd2c, 0x185b38d4,
+    0xf8653b3d, 0x0e2dc6e5, 0x9d674fe9, 0x2542a6bd, 0x4df03ba8, 0x4e0d2a97, 0xaee29c6b, 0xda5bfa40,
+    0x1d1c6c20, 0xa036f742, 0x3208b89a, 0x0f4f22f3, 0xdd874715, 0xcd18c3c1, 0x50a111f1, 0x85f5642f,
+    0xc41491b5, 0x62046853, 0x052e581f, 0x4b2033f6, 0xf8852650, 0x36c04b34, 0x50edf681, 0x7a802072,
+    0xc64b68a3, 0x29b37f95, 0x98602e02, 0x90918727, 0x1f17f286, 0x9f29fef1, 0xca6db0ce, 0x86bcd60b,
+    0x77949bbd, 0x7fe0438a, 0x058d80f1, 0x1ddc5abb, 0x39a620c6, 0x4e151d26, 0x2d388adc, 0x9961536d,
+    0x7572e550, 0x6685f5a7, 0x70a7006c, 0x72143af7, 0x4597d677, 0x6bb53ad1, 0xcf0677b5, 0x21b4ea3f,
+    0x041b9f00, 0xf2f11f22, 0xa909a8f4, 0x43a4adf6, 0xcf79be56, 0x4af84e2c, 0x836d0e65, 0x5e098ab0,
+    0xe05fe7c8, 0x9b7024fc, 0xf86d5459, 0x9adade00, 0xd939e22c, 0x4096902b, 0xb5ac76b5, 0x376d5cd7,
+    0xbe55c779, 0x86ab0cb5, 0x81bdd991, 0xa1ad42f0, 0xf96fec59, 0xd396e867, 0xa446976f, 0x096ed8b4,
+    0x0909e997, 0x23c496ca, 0x44aac166, 0x88332c0d, 0xa5f5d7f2, 0x7e20d178, 0xb06fa139, 0x8fd5c928,
+    0xd0c1c6db, 0x633d66c3, 0xaec62240, 0x5dae66eb, 0xc472bb5e, 0x1a04f2dd, 0x79c688f4, 0x522b2320,
+    0x5a70cd34, 0xa7489240, 0x765c316b, 0xa6b97013, 0x61faf05d, 0x0946036a, 0xbf5a4a42, 0x98097cf5,
+    0x8c2bb330, 0x0e2f40a3, 0xcd733fa9, 0x247f2857, 0x0efe3f80, 0x2fdd1db7, 0x834db052, 0x52bbd73a,
+    0x140e575b, 0x3159a47f, 0xe8cb0879, 0xeb12bec4, 0x6b841986, 0x52ac03d5, 0x91afe1fd, 0x756ee4d9,
+    0xe0a7c790, 0x4dfe39df, 0xda57b858, 0xc1cf1a90, 0x2e437924, 0xc28adc39, 0x0e4373b6, 0xa9460fdd,
+    0x9d2da9c4, 0x558674cf, 0xb31d56e4, 0x6312dd77, 0xe767acc3, 0xf793de7e, 0x04ff9d39, 0x7edf3bc0,
+    0x0d121b1c, 0x832b2840, 0xbafce3ea, 0xfff3b43c, 0x36ef66fd, 0x15fa09bd, 0x3c74a1c6, 0x5463584c,
+    0x515a18aa, 0xf22153e7, 0xa2138b7b, 0x05b839b3, 0xae21fc10, 0x9cb44d31, 0xa16d831b, 0xa5acb0aa,
+    0xba31ca2a, 0x54b997d8, 0x5baca6d0, 0x51c50461, 0x3a4e68cd, 0x992079ac, 0x52f8c234, 0x75fdd5a2,
+    0xc1a19453, 0x37977047, 0xaa0c2016, 0x83ad2271, 0x5be6204a, 0x269b8677, 0xe6f24b34, 0x2d9f9e57,
+    0xe6f27f17, 0xf1fba54f, 0xbe793808, 0x68624dfe, 0x949f7bcd, 0x92c6f5be, 0x7022680d, 0xe9d676ee,
+    0x4252f993, 0x39c53012, 0x9db1df4b, 0x01a695a5, 0xa70f42ae, 0xdf99c2a6, 0x35b8ba14, 0xbac6c6ae,
+    0x82ac6dbf, 0x758d3eaa, 0x552722b2, 0xd6b212b3, 0x09381eb2, 0xdef5b0b4, 0xa2e5d851, 0x0f8fc7c9,
+    0x0f4caeca, 0x0a56910f, 0x2f4393cb, 0x35cda460, 0x54d83c91, 0x361e3350, 0x6284cff4, 0x88cc35f2,
+    0x89ad55cd, 0xaf5b0544, 0xd6f0a9e2, 0xa86c9a2e, 0x94685845, 0x5201a4b0, 0x46718f88, 0xd5abe6bb,
+    0x02b0e5e6, 0xac13219f, 0x16ac9991, 0x27a39f08, 0x94760bdf, 0x8fd58114, 0x0193e3ee, 0xce82030c,
+    0xf5f78c5e, 0x2c1daaec, 0x3a2dd3b5, 0xd938ec12, 0xf2e1a647, 0x2cb1a472, 0xed2a200f, 0xa1a627c3,
+    0x48e3879c, 0x12afa4ad, 0x69f93b1d, 0x5402f612, 0x3f04e77b, 0x0ca88908, 0x95c3ffec, 0x11ca8831,
+    0x9d358dd2, 0x52dc275f, 0x01f557fb, 0xe55f16aa, 0x5eb27331, 0xa507d2f2, 0x8019f8d5, 0x4774e994,
+    0x39e4ee23, 0x2c90f644, 0x4ec16933, 0x4660af36, 0x5c61dfef, 0x9e20dd6f, 0x973fcd74, 0xb07624ba,
+    0xa359b6ff, 0xe9b88ff0, 0xbbdad742, 0xcd5b2bfd, 0x4a2ef796, 0x85278948, 0xab9bbf6c, 0xe2a73ea6,
+    0xd8059d60, 0x554ad102, 0xedc75e40, 0x9825ab43, 0x6e7d6f13, 0xefad066e, 0x6b15803f, 0x4c874cc3,
+    0x1fd7142a, 0x0bb8595c, 0xa12ed3d9, 0x95d5cc34, 0xcc9891bf, 0xa816653e, 0x475b3174, 0xcfc3a855,
+    0x2fe38b65, 0x6648f297, 0x81a349a7, 0x050d562f, 0x344381ed, 0x4ddf45bd, 0x2a3f9755, 0x0e4596a4,
+    0xec76f662, 0xd7c5a3c7, 0x59d79677, 0x7e658cb1, 0x82186ac2, 0x58fd6f19, 0x2aed2007, 0x3955103d,
+    0x9795fc08, 0xa5bf7872, 0x555f8c67, 0x4b57dbc6, 0xb49febb6, 0xa9cffb48, 0x3c42af4e, 0x02350947,
+    0xd5804ca1, 0x7de663e2, 0x87edb2fe, 0xffda6eeb, 0x91f00c7f, 0xd2323908, 0x179738fc, 0xdb49873f,
+    0x156ad1f5, 0xe8b5993d, 0x4dbbdc96, 0x45d68adc, 0x2ce7aee1, 0x4f702e32, 0xdcb03f37, 0x9300e8a1,
+    0xd1480f93, 0x3e041e6b, 0x0399586c, 0x12b4ac6b, 0x17b4391d, 0x0ff46794, 0x96427f86, 0x0aa6fd5c,
+    0x2df2831f, 0xa7a6a782, 0x29bd5c88, 0xfa0b5a5c, 0xfb408f53, 0xadce4e4d, 0x10d70f4e, 0x843a6dd9,
+    0x63e35c82, 0x3982642d, 0x31e41dce, 0xc4af9b5f, 0xae7fb575, 0xb3fadc3a, 0xe305f6eb, 0xf202576c,
+    0x5d951bd8, 0x94992944, 0xbe17b1a4, 0x84184792, 0x8ee15bd2, 0x8c2b96b6, 0x7f09b6c4, 0x0c830929,
+    0x2f80e3d0, 0xa730e122, 0x2081e646, 0x3189a7fd, 0x555577f6, 0xffaa5452, 0x33e18985, 0x32a23605,
+    0xa4e190ac, 0xb48b4a2b, 0x7c491b50, 0xf75c87df, 0xe119d856, 0xc4d7a4e0, 0x6d57e6d3, 0xe001a2a3,
+    0x9d2196f9, 0x92fdbf57, 0xd5cef273, 0x3402436b, 0xf051fd2e, 0x3144f34e, 0x0dff8e71, 0x24f134af,
+    0x31a6b8ba, 0xafb70c43, 0x4250c825, 0x64a9fc8c, 0x747a0331, 0x2622b33c, 0xaa7cd937, 0x4466214c,
+    0x31c8bb28, 0xbc760dc0, 0x584e2c99, 0x50283378, 0xecdbb808, 0x8f710730, 0xc2e56fc4, 0x00d11cce,
+    0x50b0246f, 0x5ba99524, 0x48ab9882, 0x3a1ed8d8, 0x33bbfbc4, 0x3f294997, 0x1d09d119, 0x05c57ec9,
+    0x3f2e7be6, 0x0e6dca5c, 0xe2b6c3d6, 0x0926a3b6, 0x026508a0, 0xc167c6a0, 0x92b421f2, 0x1f7bca84,
+    0x9fe8f091, 0x6904f257, 0x5d28261f, 0x93cb9be1, 0xf38771dd, 0xae017f1d, 0x1c0ad70c, 0x6d0deb44,
+    0xf6b225ce, 0x5382d5dd, 0x170211c6, 0x85a6b352, 0x97385d99, 0x33eba4fb, 0x5378a74b, 0xbdfa4096,
+    0x0b12993e, 0x5bd9b35a, 0xf084c6d5, 0x336c3091, 0xa073b7ca, 0x3a5a98af, 0xd377a16b, 0x1d4df574,
+    0x394338d1, 0x0435ff8f, 0xdc1ad0a9, 0x852497cf, 0x2493ada9, 0x26e315ff, 0x349a023b, 0x0fc340a5,
+    0xfcd6b96b, 0x4c78af12, 0x010704b1, 0xca47fe3f, 0x839de7d9, 0xb0cf141c, 0xadff7673, 0x331738ae,
+    0xb78f621e, 0x52b6058a, 0xfa192281, 0xc63b8e21, 0xd3e3aef7, 0x86bbe66e, 0x6e292916, 0x37ae8380,
+    0x3537e340, 0x40fd2c1a, 0x629a1a2f, 0xee678c25, 0x32864cdc, 0xe7722631, 0xd3ea9ef7, 0x7a358b0f,
+    0x10b63e05, 0xd2f05d99, 0x83854b63, 0x55be2250, 0xcc9d2e37, 0x1c2f2da9, 0xa83716c2, 0xe56e6901,
+    0xb855a939, 0x0fd5befe, 0x73dea7d7, 0x88afc342, 0x2dbb097f, 0xf1ff3d61, 0x9eca55be, 0x4ecb07c7,
+    0x7f08ade4, 0xf3657cf2, 0x34761308, 0x8285d2d2, 0x68f2f18b, 0x99ee6382, 0x248f172d, 0xad609e21,
+    0xe119451b, 0xbb9893db, 0x716cb2d8, 0x71aaddff, 0x65d7f38a, 0x8bd562e9, 0x00c9a1d2, 0x450e8603,
+    0x0c72cb26, 0xa45c4889, 0x285f9078, 0x86b7544f, 0xcfecc2a6, 0x189b36bd, 0xa19f5509, 0x3a3065ac,
+    0xac06383c, 0xbb20cb08, 0x2f138d68, 0x18f6386d, 0x6dfd7e1a, 0x231e197a, 0x79cc5d09, 0x0af228e1,
+    0x7e8b8f10, 0xc347f946, 0xcc3ab4af, 0x5c91c633, 0x0f7e3ca7, 0x6931e8fa, 0x8b8bec77, 0xb804d9af,
+    0x1290a0e4, 0x288ad38e, 0xc96d0b35, 0x8f970581, 0xae3cba2b, 0xe85368de, 0x0c7c267f, 0x7ddc7517,
+    0xd61369cd, 0xa4088e98, 0xf3274528, 0x980e90c2, 0x0df9aabe, 0x4310d296, 0x21414f7e, 0x1e1e053c,
+    0xf5e9fe30, 0xabf7dd91, 0x14c9a680, 0x60a52a7b, 0xb1ec3ee9, 0x707f05db, 0x51ec4a70, 0x66728b68,
+    0xc01f16b2, 0x1edcc64c, 0xb250e2d7, 0xd217e8fb, 0xe9cf6c29, 0xe6edffc7, 0x57962f72, 0x55fb7398,
+    0xf997f850, 0x32df835c, 0xb969a070, 0x091726b5, 0x22c71e79, 0x6bb7826f, 0xacf44814, 0xaa13a7f2,
+    0xb13c5d9f, 0xc986e4aa, 0xcfe32d87, 0xac340baa, 0x29bf16b2, 0x2f3b083c, 0xede19bba, 0xab1979d7,
+    0x37c552cd, 0x168e23fb, 0xa6eaf9ef, 0x5a0da620, 0x981a6fde, 0x1cb3fa03, 0x019e5665, 0x2b0837f6,
+    0x51f62404, 0x91ad58ca, 0x842b14c5, 0xb725158b, 0x3e6e090c, 0x3d8ff2e0, 0x400fb639, 0x60da11ee,
+    0x092a3a9c, 0x8ee958d2, 0x2ef429a2, 0x5f192aff, 0x34cec4a0, 0x7f095f9c, 0x61f294a1, 0x4ce7575b,
+    0xf5bbc4d8, 0x638d5100, 0xc35d7720, 0xdc344c54, 0x8f944f7f, 0x5e0642d0, 0x88ee76e9, 0x279e6914,
+    0x3d0d48b2, 0x577e0550, 0x0c8c708f, 0x08a9c296, 0x64ec4d6f, 0x443c9a9a, 0x0dfa0e9c, 0xcb12bc39,
+    0xa3256df9, 0xff4b66c6, 0x3803b19b, 0xd4c8bd04, 0xf4b2f60d, 0x475e1488, 0xec740356, 0x87662042,
+    0xd2980260, 0x3ae4683f, 0xf7abdfa8, 0x4514d34e, 0x0deea52f, 0xb84cc490, 0xd2f67e45, 0xed521162,
+    0x2ca5a7ff, 0xfa51363a, 0xeedffdc6, 0x7f4e07f0, 0x5a17a16f, 0x28aa9056, 0x604c31d7, 0x86953c35,
+    0xaa6b7a12, 0xe42fe10e, 0x05a86f81, 0x16d9b95b, 0x6cb96602, 0x8bfb91bb, 0x186723e6, 0x97c05352,
+    0x9a01fd5c, 0x479ca83d, 0x05e1c51e, 0xb4097cea, 0x3f3f4506, 0x2f9bc69d, 0x65f479c9, 0xc8925ea7,
+    0x18f3a566, 0x918393b4, 0x0e6b6c58, 0x62b31c2f, 0x68461351, 0x3b59e059, 0x9b0cdb45, 0x7941bfcf,
+    0x3c0de8df, 0xf75c0725, 0x4ae4cc6d, 0x555b9aec, 0xea6883c1, 0xa9cf855a, 0x01357a08, 0xc6d69d34,
+    0xe64edcfc, 0x927eec86, 0x038a091b, 0x2f3aa3d5, 0xacf96cd8, 0x06c997ce, 0x39a6f682, 0x82aa76bd,
+    0x514e247a, 0x6be4ad50, 0x8b988f36, 0x5cb7b3c2, 0x4a78877f, 0x89186b50, 0xaabfb84f, 0x6c0447b0,
+    0x20f80d45, 0x022a84ce, 0x0209938a, 0x1d79c6bc, 0xd7c21d68, 0x247c13d1, 0xf1bd2ffc, 0x91761309,
+    0x54020816, 0x983a1293, 0x28a01bbd, 0xa4ba4d1e, 0x68e0e5ba, 0xbb281922, 0x2e4fcead, 0xe294d6dc,
+    0x4c3291a7, 0x4aae04c9, 0xb3d2bd36, 0xd5121205, 0x4a6cbba3, 0x46649b89, 0xd7a25f71, 0x54020ae8,
+    0x5458d108, 0xbcb0abfa, 0x098e11a1, 0xa501a3cf, 0x9bdb18f5, 0xb4e0c243, 0x84fd9bf3, 0x5a58b276,
+    0x9ece50f7, 0x83df8837, 0x9bbe2c3e, 0x1e8d4126, 0x3acbf552, 0x3a698d2b, 0x403479ef, 0x148b9730,
+    0x57f4a953, 0x63df602d, 0x7b7b0f60, 0x21abf7ca, 0x69179efb, 0x8d06a1ad, 0x173c40f1, 0xd03602b7,
+    0xb2e88e70, 0xcd3a9aaf, 0x5c4432f8, 0x43b61d64, 0x2cd66850, 0x09c4da34, 0x84945edf, 0xa1b83adf,
+    0x00000000,
+    0x435ee47f, 0x3ad0bd61, 0xe24beab6, 0xdd51f3a3, 0x6650fde9, 0x2e7859d0, 0x1b6ac808, 0x7b3ad4e9,
+    0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000006769213120412145653267612754255575447842863953554\
+                         23968547480366360991530225982818124993751490268451683933401113623918903558144 */
+  { 0x00000000,
+    0x623f0d71, 0x29e3f4b7, 0x4ac27024, 0xb3a5fa74, 0x834375c0, 0xfbf38ec9, 0x8adcd661, 0xdf376a38,
+    0xc5ed7ccd, 0xa09146ab, 0x2868de9f, 0x564b5132, 0x2cd64523, 0x6b56e2db, 0x50d6cc7f, 0x29ed092a,
+    0x36c500ee, 0xdd8e473c, 0x14798afe, 0xf311de26, 0xa932368e, 0x5b2c1877, 0xba874994, 0xce877765,
+    0x1e0e5652, 0xf523b7db, 0x5b905873, 0xd5a826f3, 0xca76d071, 0x641357d5, 0xc7b64936, 0x6404d798,
+    0x25a4d2d6, 0xd9c67789, 0x71e6517a, 0xda35130c, 0xd3854f4f, 0xd9a329ca, 0xb7a3e4bf, 0x64f67905,
+    0xbf0c0843, 0x3bc1bb13, 0x4d0f5d5d, 0xc9b537b8, 0xbef94e80, 0x6c65bb81, 0x7a993e5c, 0xa2397e97,
+    0x2fbb1226, 0xa1525726, 0x4d058a8e, 0xd3fa0e9d, 0x08a12093, 0x9da69c1e, 0xf09df163, 0x319baf66,
+    0xea5ac4c0, 0xefe19d53, 0x2318ee49, 0x94e8065d, 0xf12969a0, 0x9e5050cf, 0xbe57792b, 0x9bf2616e,
+    0x418c471c, 0x03579933, 0x5e023537, 0xfbd5f6a1, 0x5955991b, 0x01c9103c, 0x017480fe, 0xa3c139f4,
+    0x76b40aa0, 0xc15fd10a, 0x2e4530cd, 0x09140fed, 0x15d69113, 0x10c65ad4, 0x4f0ddc10, 0x6beff1d5,
+    0x90ab1fff, 0x9d32434c, 0x2e4ee16e, 0x5f34107a, 0xa2492ad0, 0x10afc705, 0x475ceaef, 0xd3a49248,
+    0x1ddb856d, 0x4cdf3b78, 0x415bc225, 0x1fbaa127, 0xe11c10fc, 0x2393a526, 0x0f4ad588, 0xea731530,
+    0xb9e46269, 0x9110050b, 0x64213c85, 0xcdf395ed, 0x8b98df9f, 0xcadc50fb, 0x93719adb, 0x01de9a0e,
+    0xcfb1c793, 0xbaad90c8, 0xe69dad7d, 0x81caf8e4, 0x020d8295, 0x8bd55b1b, 0xc47d8bd6, 0x70f8c8d3,
+    0x0940ec71, 0x20866ba8, 0x8388f135, 0xd06212ea, 0x1e64f553, 0xc20d2a36, 0x78e18387, 0xf6e238fa,
+    0x174352ee, 0x194f413c, 0xbb7c33e2, 0x5b9c66b9, 0xe0fb88ec, 0x28f8e6cf, 0xaf4f924c, 0x9730d980,
+    0xfe8d68b4, 0x4c574607, 0xca810dcf, 0xf333fb52, 0x079e035a, 0xe33fbdc4, 0x231cb6e2, 0x88f5c923,
+    0x391e4e06, 0x1174faa5, 0x18c86b6b, 0x30121a7f, 0xb4ecccd9, 0xec423255, 0x74440e09, 0xc1a7e098,
+    0xea3d1485, 0x9eb5ac49, 0x61c4bf37, 0xcf930fc2, 0x31e36e9c, 0xefe4bcb4, 0xa65ac4fd, 0xf42ce165,
+    0x8affa137, 0x0ebca245, 0x1721edbc, 0x3ef17956, 0x8eae5bf8, 0xd8e7c323, 0x7ca13b12, 0x35ac2f36,
+    0x6d8ae837, 0x58f636c0, 0x9e1f5fd2, 0x6b532574, 0xc640e91d, 0x75a8dbf8, 0x6012f6aa, 0xd1cafdbd,
+    0xe1e6283e, 0x2ec8f86e, 0x09062683, 0xedc2dccc, 0x9b508174, 0x1e59a1a2, 0x67e7504a, 0xdd1c154e,
+    0x0be0869a, 0x703fd1d2, 0xafe936bd, 0xdffbe799, 0xb4a6469f, 0x08924fdb, 0xe3df29c7, 0x8dac845a,
+    0x778abd2b, 0xd33a0a71, 0xa614782d, 0x9ed0fd71, 0xbe23cb91, 0x71b0a749, 0x0c1e02dd, 0xcd9baff0,
+    0x6f20c476, 0x122bfd7e, 0x78aabd6a, 0xf5fac5f3, 0x7d0d5d89, 0x64cbbf15, 0x8c2b0527, 0x6512e984,
+    0xbc9f14b8, 0xd1ab8412, 0x9869f2e1, 0x1a3e7ca6, 0xc89aee72, 0x0ac40f60, 0x8403aa92, 0xfa0ee223,
+    0x26a46200, 0x4a06e1e4, 0x8dd87bc4, 0x04ee1169, 0xd2a9090a, 0xc7a97566, 0x152c8227, 0x03b4b6b2,
+    0x3d0e51f2, 0xfceb08b1, 0x415a772a, 0x653608f9, 0x0aad4064, 0x68a1ca8d, 0x755d3943, 0xecaf2453,
+    0x79c8cb05, 0xaa73ffb3, 0x4c6418e0, 0xb463f981, 0x98ea5fae, 0xfaa851f8, 0x4d392952, 0xd12204f8,
+    0xee989057, 0x5a2b5635, 0xd4ad33da, 0xf27bfdbf, 0xef7e860a, 0xd8e3caf2, 0xbefdb053, 0x62a87600,
+    0x1345a346, 0x3b747764, 0x90d8fd08, 0xe388ff43, 0xcbacb3ce, 0x1b5c3ff0, 0x3bdea99e, 0x4b786fdf,
+    0x0deb67ca, 0x7d7348d2, 0xc532b143, 0xa5f8b372, 0x7209cdf4, 0x200caade, 0x9dc5a124, 0x2ef4a69d,
+    0x8cc38afd, 0x59abae21, 0x99f7f066, 0xa94c63fa, 0x1a8d0619, 0x4b63a214, 0xe13008b8, 0x0c9838fd,
+    0xa80cd419, 0xd0c2904c, 0x26c5e8fa, 0xc758df58, 0x69b987eb, 0xeb9793cd, 0xc7e96d52, 0x1483dc17,
+    0x488354bc, 0xe9ca82ee, 0x56645093, 0x240ffaba, 0x859d9835, 0x6d1b9c88, 0x3efe71cc, 0x282da11a,
+    0x32106e44, 0xcaa64000, 0xff91a7eb, 0x1ca78c9c, 0xd3208cc0, 0xb921f8e4, 0x2f307865, 0x5f8065ff,
+    0x6b65abb7, 0x84691667, 0x682d6848, 0xf1406b74, 0x34286943, 0x51ca9035, 0xe5f44ba0, 0x02ed23b3,
+    0x8854d5e7, 0x295a29c3, 0x90ce00ab, 0x9ad9e52a, 0x50cac16d, 0x7e1ba82a, 0x79f2666a, 0xff68d912,
+    0x68edd1dc, 0x2df6825a, 0xcb2b07b4, 0x7e198faf, 0x7ea0aa48, 0xa5330342, 0xe248a3d1, 0x35d2b45c,
+    0x0a7206ae, 0x0b412679, 0x84d18f8a, 0x158ea646, 0x2a407338, 0x53740333, 0xdda3786a, 0x24286f5b,
+    0x1227993e, 0x62e57010, 0xad4c3556, 0x29d1c436, 0xc8763c74, 0x94001dcb, 0x7a256b44, 0x691e4b4a,
+    0xc4c6ccd7, 0xe9682344, 0x2b6673f2, 0x6ce63b83, 0x0efc86ea, 0x32dc15be, 0x1bbda96c, 0x067b2256,
+    0x7575996e, 0x74b3c758, 0xd3437ebf, 0x44ff24e5, 0xf488040b, 0x2b73572f, 0x53b36fa1, 0x9b3bdb84,
+    0x79dbe380, 0x7bcd2fb2, 0x00bb21f6, 0xd417e1d6, 0x5f0835b8, 0xf9fbad66, 0x39b3ba3b, 0x21117ac1,
+    0x3bd7d352, 0x5500642d, 0xe2c9b239, 0x555d8938, 0x78e54120, 0xc0caf841, 0x7960fef4, 0x26de6f79,
+    0x6a02d8e5, 0x93c39dbd, 0x3d6976ea, 0x9921fb16, 0xdd5c9caa, 0xb79e3fe5, 0x2ffd527f, 0x811f0883,
+    0x9abac6ba, 0x58357a35, 0x25ec8075, 0x7bec6e7f, 0xfd703571, 0x371f388d, 0x4ab0a9f5, 0x074f97fd,
+    0x4e4b1526, 0x1d9555c8, 0x8984ee4f, 0x0b8166c5, 0x3e63a609, 0x00d00c6b, 0x1a349d87, 0xc059281e,
+    0xce7f1d8d, 0x17b37445, 0x6f62a559, 0xa676b80a, 0xf80796c7, 0x66c4c1e2, 0xe937c5bf, 0x56d14ef1,
+    0x21ea689d, 0x9e46e39d, 0x0d52a9ae, 0x6728bc6d, 0x9667cbbd, 0xe6f70101, 0x3756d923, 0x8a70f4f3,
+    0x4ddb9fd8, 0x67f9f56d, 0xe1358476, 0x9f286fd0, 0x918c6225, 0x1f086526, 0x088c64fa, 0xa66c416c,
+    0x8adb5c06, 0xe92b9c58, 0xdb945277, 0x8112ded9, 0x0f2ce732, 0x65dbc6ae, 0xa286f953, 0xcc559520,
+    0xcdd2b163, 0x7ad8d928, 0x95c12870, 0x61c3dcc3, 0xc1f95764, 0x2492c4cf, 0x12e023b6, 0x00039bf1,
+    0x70a97a4a, 0x69da29a8, 0xeb5992ba, 0xc3353d62, 0x8f6c234c, 0x5807c72c, 0x8c25eab0, 0xaba0bed5,
+    0x09b39c4c, 0xe02eb208, 0x81cc0f62, 0xd563a4ff, 0x941fa820, 0xb29cca9b, 0xcc01ae0b, 0xff7d8852,
+    0x16dd5e61, 0xd887a7f0, 0xe354dcab, 0x7ed7fec6, 0xab1925b1, 0xcac27aa0, 0x5314753f, 0x5cdb10a4,
+    0xa657b996, 0x013dac10, 0x3535bc09, 0xa6cd358b, 0x86817f92, 0xaaaf7ef1, 0xa6528773, 0x13b361c4,
+    0x49a44937, 0x4d06267d, 0xde1eccce, 0x644b9257, 0x3f25303a, 0x118e447c, 0x4881f2e8, 0xb3f4824a,
+    0xa20a64b2, 0x0493b472, 0xe631d96e, 0x0c86c530, 0x09b982b8, 0x405cf9b8, 0x9aed33e1, 0xef8c9741,
+    0xea43b360, 0xf67f7566, 0x497d0898, 0x31af8230, 0xb03ed17d, 0xd017fbaf, 0x610e30ee, 0xd642fa65,
+    0x4078707f, 0xd0ac3273, 0xe4556df6, 0xfcdc38da, 0xad3742a7, 0xf09d3361, 0xe15213db, 0xa0fcee8c,
+    0x8417566b, 0x0255363f, 0xfc783a91, 0xffdcdea3, 0x76683766, 0x558e4911, 0x4a5b17aa, 0xbbd1e95c,
+    0xaeec8765, 0x399664fb, 0x4973efca, 0x9794e414, 0x27251b1e, 0xc231481a, 0xa883f6ea, 0xf0442f4b,
+    0x6f00bc50, 0x0c17f429, 0x589489bf, 0xc0b28d61, 0xf5e6f456, 0xdbe4b137, 0x64fa6541, 0xe74b3323,
+    0x8ae96a0c, 0x37f4eb45, 0x43034cac, 0xc8b1dd4d, 0x99b36e43, 0xaecc3bb1, 0x3cc0dae5, 0x66592bc4,
+    0xbc9adfd0, 0x54c92e21, 0x23e3df7c, 0x3e345ced, 0x9a18be7b, 0x6a54c759, 0x5af55c86, 0x69c1a02e,
+    0xe32cca71, 0xde8bca81, 0xb84a52e2, 0xeb0e52e4, 0x9a1654ce, 0xbfb07fc7, 0x7a6487cc, 0xc169f5c9,
+    0x08c1feab, 0x97ab2902, 0xeb269e01, 0x8fd0e0ff, 0x672a49db, 0x3c89169e, 0x8ca41606, 0xac6ac901,
+    0x9151a87f, 0xd0726b8f, 0x43cc4f45, 0xabe8c3d3, 0x26548d02, 0x5fba051c, 0xe9924c08, 0xf94826ce,
+    0x1ec84d32, 0x92c48d76, 0x94cd4bbe, 0x7cd26dfc, 0xc967583c, 0x2519cae3, 0xa1715697, 0x40723eeb,
+    0x68835a76, 0x822f07cd, 0x4d1c69e7, 0xbcd9dac2, 0x72df2050, 0xc5c6904c, 0x46af953a, 0x27cbe5e0,
+    0xd8e6b495, 0x9377431a, 0x06509a4a, 0xc951b264, 0x302b9ff3, 0xe0817a59, 0x14c328d0, 0x1adf9be2,
+    0x2cb1b469, 0xd67a9dce, 0xc8d3072c, 0x26e7bf53, 0xd0462c18, 0x8f207a11, 0x2320eb03, 0x7fa375d0,
+    0xd8bcb702, 0x22755f4a, 0x7ba38975, 0x6611259f, 0x15a82c9c, 0xadfc6c61, 0x86502fb7, 0xce5688af,
+    0x2f909d11, 0x0a3932b9, 0x5a2e2f65, 0xca71e885, 0x45c80484, 0xbc3b3672, 0xab61403a, 0xab1422c7,
+    0x1e1fcbd4, 0xdfc516f3, 0x714d6df1, 0x1087b4b3, 0x6e88993f, 0x3e69892d, 0xb435e7ce, 0x5ebc99b3,
+    0xe945884d, 0xa5131ed1, 0x3b724ac5, 0x055bb74c, 0xc80edf68, 0x55de1c85, 0xb8473c1a, 0x404483dd,
+    0x335bdaf5, 0xf1ec705a, 0x146bce7c, 0x4d479e75, 0x08f227ad, 0xca453123, 0x363e7995, 0xf6c0e9a7,
+    0x0b89f1cf, 0xa44bced8, 0x17d2df32, 0x368d1742, 0x954ce7dd, 0x49d5ccad, 0xd90f5dcf, 0x5957bb15,
+    0x2972bfe0, 0x4cb31a48, 0xbecb4b14, 0x904c54fb, 0x923292ac, 0xcaf9362c, 0x652617db, 0xad69c78b,
+    0x52a51fc3, 0x319cda83, 0xaf9eafd1, 0x3f8572bf, 0x858c08cf, 0xbac17720, 0x09d236d1, 0x3f371d75,
+    0x009a2216, 0x8bf35167, 0x8ad3dbeb, 0x2d84a833, 0x4cecda38, 0x07c38613, 0xd89d3be6, 0x5c625813,
+    0x9a97d7a5, 0xcdc85dea, 0xf9f9f0b6, 0x49130fc1, 0xa30cf502, 0x3d8ef30e, 0x41569b07, 0x073cda87,
+    0x8c8f6d6b, 0xf6fbb464, 0xf9d6d1d4, 0xab4afec2, 0xe3829ffc, 0xc32c4ae9, 0x5762c436, 0x019ea71e,
+    0x9bd7d0cd, 0xae942484, 0xe45757fd, 0x4eca16d3, 0x920d6063, 0xa2df0c61, 0xcc0fc874, 0x1e440351,
+    0x322d9432, 0x0d093bb0, 0x8b810a92, 0x2766cd6e, 0x701bab8b, 0x1c862375, 0x0d58f489, 0xaa4cd8b3,
+    0x6a5f19f3, 0xe2c98020, 0x7bb05067, 0x178f415f, 0xdebea7a2, 0x1c1f39f3, 0x229f1cf5, 0xbc10c1ff,
+    0x9e75fb52, 0x6d4976e6, 0x907c5f23, 0xea125bfc, 0x1f02b765, 0xc18e9575, 0xa6ae9231, 0x0f5d1e02,
+    0x4eef2882, 0x06203c56, 0xda30617c, 0xbbeeaad9, 0x6e47d048, 0x2069fb57, 0x63bb8750, 0xed6200d3,
+    0xba32a6e0, 0xdff03016, 0x37a9aed9, 0x50df8bef, 0x050f6089, 0x82b7c36f, 0xec1dc358, 0x99fde96f,
+    0xb87c8f41, 0x43ac67cb, 0x08eb3942, 0x8cd10f45, 0xe08f8ce0, 0x919c5988, 0x20f3a80a, 0x689dd4b7,
+    0xf13573ab, 0xd95bf0b6, 0x4077963f, 0xc883379b, 0x300c6eb7, 0x0c87dbb0, 0x0d3d56e0, 0xf8d3f467,
+    0xdaa6552b, 0x5adc22a6, 0x3e0b4509, 0x3371599f, 0x9ea7226f, 0xc27656c9, 0xb38fea42, 0x6661e1e1,
+    0xb953af47, 0x21e4002f, 0x85b418f9, 0x21ad6b67, 0x0b1b5776, 0x473c0a0f, 0xa82eb8de, 0xcf03fdc5,
+    0x7a0e81a6, 0x99b68983, 0x675f8b80, 0x286972c3, 0x02162906, 0xed08a01e, 0xb6b9b4ad, 0xfd554bc3,
+    0x8e693068, 0xe36459f4, 0xdb827c63, 0x23e4d824, 0x77ec7737, 0x672c30cc, 0x4e6956de, 0xa3302651,
+    0x9527741e, 0xcee11cb6, 0xc0b66bfd, 0xfe40f270, 0xd35dd353, 0xa3790101, 0xf6c762a4, 0xd3b4cab5,
+    0x55192a02, 0x4516c090, 0x50ccc9b0, 0xb9f3abbf, 0xa53affde, 0x6f1b68c9, 0xa9c8cfac, 0x125bbe13,
+    0x97d91812, 0x9ca80f5a, 0x6ba9cd87, 0xae5e7d92, 0x149393e4, 0xcd467161, 0x37271b70, 0x9b5427eb,
+    0xbe38d6fd, 0x9042a5c1, 0x1bbe9eeb, 0x707802c7, 0x382f5f60, 0x2cdc62d0, 0xda0a43dd, 0xbcbec7cb,
+    0x97f0d47e, 0x44784df2, 0x8ecf924f, 0x88a8bb30, 0x6d0c10f7, 0xc00b6507, 0x2fd553a7, 0x96bf9a3a,
+    0xf8bb451e, 0xcbda5bac, 0x99099c35, 0x582142a6, 0xf5434aba, 0x2deba738, 0x836fb685, 0x6f36804f,
+    0x116d4ffd, 0x66f45717, 0x6d181b2b, 0x5b582f30, 0xf7a8e646, 0x16161468, 0xb3084999, 0x32575748,
+    0x92de4224, 0x8dc499a6, 0xd2da20a8, 0xbaa2a3bb, 0xa24c6bf1, 0x41a298de, 0x675cd392, 0xf878390b,
+    0xe8051327, 0x0589d132, 0xcdd375b5, 0x9bf9c0f5, 0x02833935, 0x27ec140d, 0x247fa107, 0x44941665,
+    0x67ccd1b2, 0xe272fd54, 0xfe3e5225, 0x8f3bbfa6, 0x0d8f4125, 0x258e4738, 0x4223de24, 0x8c44c1b9,
+    0x7752345b, 0x8dd51612, 0x94591b9d, 0x0dd9a7bb, 0x96a54e2f, 0x7817ba97, 0xac772310, 0x44b66357,
+    0x285d1324, 0x1dc43502, 0x2d251a44, 0xd3307e6f, 0x15bb1706, 0x7f9eb1c3, 0x8c22849a, 0x1b15555e,
+    0x470e1c12, 0x8e7166d6, 0x265b4216, 0xf0043ddf, 0x268f90d5, 0x1aff52e7, 0xb0e0e344, 0x946b7bff,
+    0x6c6c7aa3, 0x3199cd34, 0x07a5cd84, 0x714a6f97, 0x37a2637f, 0x60b8d46b, 0x52829a6e, 0xcc22fc90,
+    0x58691111, 0x8f3a0cea, 0xc1d00021, 0x7cad0613, 0x503b0617, 0x20f2a679, 0xfafbc97b, 0x349ff840,
+    0xacd5022d, 0x2e34f03f, 0xbbf9f389, 0xf5c7bc06, 0x67330eab, 0xe5fca795, 0xa5a2e7ec, 0xbde45943,
+    0xb57158ca, 0x87e517fc, 0xf81e4444, 0x4f1d3045, 0x2417f37c, 0x973f098f, 0xe58027b0, 0x3cc9dd71,
+    0x5f6b06cb, 0xd150f5a2, 0x7e33eac6, 0xe2f3824d, 0x32cb76b1, 0xc8c62e64, 0x24af1936, 0xb475cb0a,
+    0x8daf4b50, 0xe39acf72, 0x25fae0b7, 0x1b144ed6, 0x87d60ba9, 0x8284cda0, 0x8db48ccc, 0x11402b8d,
+    0x422911fb, 0xbd5f86a7, 0xe03acdd6, 0x76602a58, 0x85f4bee3, 0xed5d4c92, 0xcee5c3cf, 0x796f1e55,
+    0x9fd4a024, 0x865de56f, 0x1258f3e1, 0x76e86b7b, 0xe9f42017, 0x01e6e085, 0x6ce22804, 0x8534c146,
+    0x2d599580, 0x5a070a1e, 0xc85f7312, 0x61014237, 0x0fe2181a, 0xd308b267, 0x6ef5c104, 0xed15ce1f,
+    0x59d365a2, 0xc4c1856b, 0xfb2eb0cf, 0xe350e41c, 0xe8cf7030, 0x36b80d78, 0x839275fb, 0x969cd035,
+    0xebea5226, 0xe911f626, 0xb609c9d8, 0xcb101923, 0x71b4589f, 0xbaaa3604, 0xc80847fe, 0xe3c59fa5,
+    0xb6d36efa, 0x8b50d84d, 0x7d2174bf, 0x7135be35, 0x1310e2de, 0x512599e8, 0xfce292b4, 0x37b5b572,
+    0x85becd7f, 0x6ff8c843, 0xd24c8451, 0x132039ae, 0x8ae4c476, 0x217828f8, 0x9e6a2049, 0x73b17863,
+    0xa6d1e905, 0x34569d4f, 0xffb217cc, 0xfb7a3a3a, 0xff74f20b, 0x08fae693, 0xb6b4606b, 0x27068c29,
+    0xe464b5a2, 0xa349b5f0, 0x7266da87, 0x0bf57b4a, 0x25261216, 0xa992c2f3, 0x11488647, 0xd19aa973,
+    0xabb6a5da, 0x347de2cc, 0x31b5c81f, 0xf284bdf4, 0x3c458996, 0x4ef5179c, 0x22eb126e, 0x1aa7abce,
+    0x5c376547, 0x62bfe1f4, 0xfcb1c833, 0xd6064908, 0x6a8ff530, 0xe8dbe2ad, 0x408912b3, 0x8fe016a1,
+    0x00000000,
+    0xa1af723f, 0x1d685eb0, 0xf125f55b, 0xeea8f9d1, 0x33287ef4, 0x173c2ce8, 0x8db56404, 0xbd9d6a74,
+    0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000003384606560206072826633806377127787723921431976777\
+                         11984273740183180495765112991409062496875745134225841966700556811959451779072 */
+  { 0x00000000,
+    0xe69fffea, 0xbe6023a6, 0xaf8dd58b, 0x271f661f, 0xa01f7280, 0xc876cf37, 0x7b4ec6a5, 0x31b43971,
+    0xa87848c5, 0xd294fb54, 0x9b0f4e11, 0x0816676e, 0x4eae5b2a, 0xe8abf17f, 0x9f63a75a, 0xe1d75aa2,
+    0x3fafec40, 0x66f42201, 0x28a10200, 0xb99a46b9, 0x069ed8c5, 0xbcb48792, 0xc155008d, 0x477f3524,
+    0xf4a0a4f0, 0xe8e7ae5e, 0x257f6be8, 0x7cf6bdb4, 0x368bc0d0, 0xdcbe9abb, 0x460a8553, 0xfa454557,
+    0xd8b5f861, 0xc4cd2c27, 0x05f1f683, 0xb3f036fe, 0x323bc9d5, 0x7e03c571, 0xefecb054, 0xdd29156a,
+    0x8b0152fc, 0x2ce26b74, 0x86862ecd, 0xff8aa15f, 0x00f45c0b, 0x99688b40, 0xb43cbbf6, 0x1922fefb,
+    0xca00d615, 0xf92074d9, 0xfa7bd89e, 0x453936fc, 0xda81962b, 0x054abaf5, 0x850603ee, 0xc9323701,
+    0x46d94b80, 0x153b9eb4, 0x0695dbe4, 0x607c03cc, 0xb9f06e83, 0xea8b39b3, 0xe4aa5486, 0xe00f278b,
+    0xb34186df, 0x5afc1031, 0xd0eebd11, 0xdccbffb3, 0x2420fd42, 0x96305575, 0x451ab041, 0x40148965,
+    0x0caa87ce, 0xbfb4ace1, 0x49e42f94, 0xce942112, 0xc3d730e8, 0x48fe9554, 0x96ece3f6, 0x6d7df5e1,
+    0x7c35e399, 0xdcadb94f, 0x6fee29cc, 0xc6ff09a9, 0xc272f92b, 0x44f48efc, 0x704f277a, 0xa5ecaa55,
+    0xc328f8b0, 0xd33252cb, 0xf1fff50c, 0xbe88de19, 0x1c32bbc8, 0x6b78d485, 0x41553e25, 0x8d79177e,
+    0x2451e0af, 0x24be3129, 0xb87bfec5, 0xda512f70, 0xf9f7ad70, 0x551de360, 0x59af394e, 0x3356c39f,
+    0x5a65b008, 0x490c931f, 0x289e90dd, 0xe4215961, 0xf77d148a, 0xdf57b599, 0x4dc96b6b, 0xc2b41ea7,
+    0xc6081cf3, 0x00379fb2, 0x8df7e20a, 0x21ff17b3, 0x4357086c, 0x0a1db030, 0x991dfa57, 0x0fd6bc6e,
+    0x99dcb745, 0xc9c9a60a, 0xf47217e6, 0x70592bd3, 0x9f21b1b8, 0xcfbab68c, 0x98143065, 0xf0a4bddf,
+    0x3392392d, 0xc6d17b41, 0x89f25255, 0x4f7be1ad, 0x5e45d476, 0x4be61338, 0xf62e9aaa, 0x40d154e5,
+    0x46c1f12c, 0x9c2f8548, 0x284d193e, 0x63f6ac52, 0xfc7c38f0, 0xc95adb58, 0x9fcc4c74, 0x7eb82001,
+    0x741ed4c0, 0xee67a47e, 0xbd8954b8, 0xe25b0949, 0xd0b3b368, 0x35e53c83, 0x9e1c04fa, 0xa18de626,
+    0xde8cf9d9, 0xaa93dce4, 0x2cb9c39f, 0xeb4a133c, 0x89f0bfbf, 0xf980c262, 0x198c7a0e, 0xd2ee8c7b,
+    0x2e60b7c2, 0x865c3686, 0xbade4ed0, 0x7b7001dc, 0xa824ad0d, 0x57149e2d, 0x932ca182, 0xb3f29da6,
+    0x609dd05f, 0x3683ad2a, 0x82a18612, 0xa94e8c99, 0x0c273e43, 0x3fbdb396, 0x3d84b228, 0x02189c49,
+    0x53af479c, 0x4c649a4f, 0x913e8c12, 0x9c99c6d7, 0xf915e096, 0xf96119a5, 0x02b9b7af, 0xc639dc93,
+    0xd06cde68, 0x5c94cfa1, 0xbc8b8589, 0x8d493c6d, 0xae3ad061, 0x17457474, 0x4ede5dd1, 0x5c939b38,
+    0x5fcb3e94, 0x1336eac5, 0x69a14481, 0x555c2bc3, 0x854fb883, 0xd3d78b9e, 0x0fa26d5d, 0xc5d4a8b8,
+    0x102b6ad6, 0xcd13e0f4, 0x562d7a18, 0x0b2f8bc6, 0xb797c9ee, 0x74baa798, 0x8f7c42f4, 0xbefd09a6,
+    0x526f8545, 0xadc62aeb, 0x19fe3f4c, 0x4a8bb0d0, 0x78b2e95a, 0xaa699be8, 0xd750f7a9, 0x6b4c3dad,
+    0xa6ac2e4e, 0x22ce4593, 0x4d10a937, 0x96521f1d, 0x0e8d6c76, 0x0d5c71e5, 0x77392dca, 0xba4e04e4,
+    0x326faed4, 0x17fd9ca3, 0x9ce0a298, 0xb3635c96, 0x38347d30, 0x752b123f, 0xcf22e836, 0xae536570,
+    0x5fa8c608, 0x6be4865e, 0x912f5731, 0xe6eca2b3, 0x51b8636a, 0x75322643, 0x9ee5ed09, 0xe8a01f3c,
+    0x8985627b, 0xc8309d16, 0x8a09d0f8, 0xaa669547, 0xb0673fe3, 0xfa3f7dab, 0x477adb66, 0x843e3345,
+    0x3445c234, 0x081a994c, 0x1a621816, 0xc8881368, 0x6d432caa, 0xe1132c89, 0x30196680, 0xe041fef7,
+    0x33a5d1be, 0x95c5f008, 0xb7eb75ec, 0x5455f564, 0x76ed3162, 0x688b2e6b, 0x32f3c450, 0xe5a5fc2a,
+    0x0115d6bb, 0xe281adf4, 0x7014c869, 0xcf88026d, 0xf080835b, 0xca4f6592, 0x5c7ab348, 0x5ebe0d5f,
+    0xb9f56520, 0xccb415ec, 0x704842ce, 0xfe60909a, 0x047c40ac, 0xe81ff4b2, 0xafbff0d0, 0xc2e767f7,
+    0xc2b7fa2c, 0x100f40a6, 0xa4f84686, 0x944bccee, 0xc20227f3, 0xfe57d998, 0xa0a69abe, 0x8426c122,
+    0xa6f9e4da, 0xd57a9f49, 0xaa820a8c, 0x9f4124d9, 0xcddf4150, 0x2271b14a, 0x1de8149d, 0x9ef77b91,
+    0xac3c58f0, 0xe1937062, 0x7887452e, 0xa944b85f, 0x17ced006, 0x677111ee, 0x51a99935, 0x7ccccd62,
+    0xc6496edb, 0x6d0a7188, 0x21402bf2, 0x4ce759b8, 0xdbc53ee5, 0x4cf34cce, 0xd9b8fc50, 0x000e02db,
+    0x22c8e935, 0x27ef1e34, 0xd0efd201, 0x8b07b9ee, 0xee41cbd9, 0x4f7312ba, 0xbc1e7d2c, 0xcdc40c58,
+    0x5925b87f, 0x3a52f22b, 0x92ec48e2, 0xf3970ac0, 0xad3ed039, 0xb8b9f25d, 0xf2b136a6, 0xa354afcd,
+    0xfa71cfb1, 0xcdb79457, 0x8934ffa6, 0xbb4fc690, 0x46a40e1a, 0x4837a067, 0xbcc2b679, 0xfede9063,
+    0x586b74ac, 0x04eb996a, 0xdf07ea88, 0x17f06462, 0x4d054492, 0xb116ff26, 0x0a2a9160, 0x21cf9914,
+    0x0133d950, 0xeaaae5bd, 0xdc613e47, 0x2368883a, 0x7d5c38b8, 0x3d38d164, 0x7dfba5a9, 0xaede9fa6,
+    0x81c87d22, 0xf3e2bf32, 0xa78d695b, 0xc760df86, 0xd354ce69, 0x0b7f1c78, 0xee598928, 0x9eb08f0c,
+    0x8c82a3a4, 0x4d7d1168, 0x64443d0e, 0xbf027fe2, 0x9d219715, 0xd6b28761, 0x346faa98, 0x91f2354b,
+    0x88096d40, 0xe49f8921, 0xb24c96c3, 0xe035f041, 0x8c855297, 0xdf2a2446, 0x76de52c2, 0x0545183a,
+    0xce351fb2, 0xfc847758, 0xe21b9475, 0x02c1dc53, 0x5b5d41cc, 0xa8c4a1d1, 0x80f5636a, 0x93a55ba9,
+    0x764cf985, 0xde935268, 0xd6b41dd3, 0x63d79113, 0x785cc8a9, 0x87ce5d2b, 0xec6909c4, 0x48a8a4d6,
+    0xd203085a, 0x215b5152, 0x449615b5, 0x6ca88eb6, 0xb04ce01a, 0xf26ba3d4, 0xee96122c, 0x701ea074,
+    0x9930cc7b, 0xb90cd102, 0xe54ba1da, 0xdc23ba65, 0x766970fb, 0x75691b2d, 0x2d52ae32, 0x69afcfce,
+    0x5e84ddfa, 0x532102d5, 0x6f63c06e, 0x717aa6cd, 0x69d2e153, 0xf7053cd1, 0x5e525fb6, 0x2a3975d1,
+    0xec284bcb, 0xe2835898, 0x998e5183, 0xa2a5803f, 0x8b8d4b78, 0xb6481244, 0xbb97ffe5, 0xd52703e7,
+    0x4c8f5f81, 0x30c0406a, 0x2e36044c, 0xf5592e56, 0xa6d432ac, 0x35aaf161, 0x923e2513, 0x3d22e7ad,
+    0x2f9526cb, 0xbc228909, 0xf8cd22dd, 0x31ba026b, 0x8513abf1, 0x90b9ce56, 0x8cb3872b, 0xcd6b9819,
+    0xbeb847e7, 0xc3fd1f1b, 0xfc3d1ad5, 0xb360024d, 0x7e074092, 0x35ee9981, 0x6a356e15, 0x982c875a,
+    0x47789370, 0xb5b88025, 0xfef8c123, 0xab000778, 0x83562cac, 0xc0b3755f, 0xf5003449, 0x51d8fa55,
+    0x39cb8a17, 0x0b4fdd39, 0xb7ad4458, 0x1b996b64, 0x697da966, 0xcc9f0a73, 0x470e4ff1, 0xcf2bf3c0,
+    0x70fe7682, 0x352657d0, 0x32838096, 0xeef06a0d, 0x8b0141d9, 0xe5fbddb8, 0x06d35494, 0x3e37cc92,
+    0x709acaba, 0x61937f94, 0x6e45c5cd, 0x252e6273, 0x26cc917f, 0xa3bafb5a, 0x2d6da580, 0xb84947b3,
+    0xc44d28ee, 0xc57f3c4b, 0xe911dafb, 0xba273b3c, 0x9e3851e6, 0xf1477ecf, 0x460cba56, 0xaf946078,
+    0xf794167c, 0x23d9bb4a, 0xdc2a3de9, 0xd4bb5724, 0x4b749b22, 0x75278031, 0x76cbf595, 0xa86641b5,
+    0x861dee7d, 0xce92e42c, 0x734812b0, 0xc9180378, 0x9e7c2b85, 0xca103628, 0xba3da548, 0x5a5ed2da,
+    0x1ef50f49, 0x5b6f7767, 0x155cb77f, 0xb33bbb78, 0xd1160862, 0xcde8e912, 0xf1b840d6, 0x2662965e,
+    0x8407f65c, 0x6d44650d, 0xfde139a7, 0x77fe3690, 0x87be549a, 0xc4f1b5f1, 0x2e168049, 0xccf7b8a6,
+    0xd993d78e, 0x0a42f619, 0x262d7702, 0x87cb5e30, 0x01038262, 0x8c302b73, 0x93ca6efe, 0x44459ea9,
+    0x034b2a39, 0xc9ec43bd, 0x7de7652a, 0x53e42411, 0x3ca11636, 0xb3fda1f8, 0xf87998e6, 0x5fd0603d,
+    0xcae61977, 0x59e095f5, 0x37599886, 0xbab95b5c, 0xa97c3f8e, 0x65098a4e, 0x9adbd556, 0x1583fa16,
+    0x81bb2b70, 0x2cea43c9, 0xe0a03a35, 0xa1c3a0e4, 0x594acf7e, 0x068ff5b1, 0x2fef017f, 0xa4a5cdff,
+    0x96afbfa0, 0x038ab80b, 0x4c014e10, 0x37c9127a, 0x96dc59b7, 0xfedaaca6, 0x42a12040, 0x7c7d808e,
+    0x93767acf, 0xbe8e15b0, 0x3966d1da, 0xcdc48163, 0xa53de903, 0x2f479ebb, 0xf0cab95a, 0xa9d5e75f,
+    0xd12cf307, 0xa0118500, 0x351e7316, 0x83496354, 0x4439e5f1, 0xfb4e0532, 0x200dd760, 0x62d9a009,
+    0x885c7a1a, 0xbf79cad5, 0x86ea8662, 0x2ce7da5d, 0x553e059b, 0x6303eb57, 0x08f3d5fe, 0x85b637a1,
+    0x19dcda22, 0x9031e626, 0x8aecd2fb, 0x89c58a4d, 0xd554072b, 0x5a706b95, 0x6d24f1fb, 0xfa690143,
+    0xd353d5b6, 0x93d5dbbf, 0x5d956273, 0x6fb964ce, 0x0d8c7886, 0x5f6ad9db, 0xe2419163, 0x4ae94d0b,
+    0xd2f04489, 0x68aacb15, 0x7f2e5b5a, 0x51ffb8ea, 0xc3ab7ac6, 0xaaab7408, 0x5a9060fc, 0x5c67e20d,
+    0xfe9325f2, 0x58c73aed, 0x2882d285, 0x2b264002, 0xb3f2afd3, 0x5758b2c2, 0xa39974ec, 0x441ab5f9,
+    0x59bf051b, 0x465ab9fc, 0x5ce42c0a, 0xd6c3b638, 0x03593862, 0x6d2b167a, 0x56650807, 0x5a3d05a8,
+    0x43b08676, 0x2efdb363, 0x6a2a7fe5, 0x21a0d773, 0x2875543e, 0x8ce5420c, 0xcc21fbf6, 0x264dc143,
+    0x77bde08b, 0xff9dcc08, 0x144348fb, 0x38793698, 0x09cbebd7, 0xf3f67600, 0xc8553f9d, 0x427d6066,
+    0x77048a7b, 0x9cfbdfdc, 0xac10aed4, 0x566d7ccb, 0xfc07f77b, 0xa46aee9c, 0x2d961f96, 0x95622e07,
+    0x9d1c28e3, 0x35e3429f, 0x3c147337, 0x23026714, 0x4824ce09, 0x582987fd, 0x26347044, 0x94284055,
+    0x82b8cbc9, 0x5851080d, 0xd743d38a, 0x40942a93, 0x85f3299b, 0xaacd3650, 0x08425f94, 0xc2168758,
+    0x3e91d2d3, 0x441f8748, 0x0ee98f8a, 0x14709c5e, 0x53e103ae, 0x803bb673, 0x7023c4c1, 0xd0a5052d,
+    0x5f093cb1, 0x1211e4f1, 0xf6b6e322, 0x58de40bd, 0x5891cdc3, 0xd9a06d8d, 0x3d3df5e9, 0x6d9ac85c,
+    0x236d416d, 0xb6966fc9, 0x2e2d855a, 0x67c72717, 0x46ca7f1a, 0x12d3e8ef, 0x4a01e5bf, 0xa29cf1c9,
+    0xf54a4d2b, 0x06fb102b, 0x827ae4f3, 0x889d132d, 0x5e422179, 0xc543fd1a, 0x973de319, 0xd002cd5f,
+    0xfa365340, 0xbb7e7fa0, 0xd976d8e3, 0x017fdf31, 0xd722147e, 0x86e8bf1e, 0x1eba61e6, 0x5c4910fd,
+    0x089e6f21, 0x01167b42, 0x9fdb7517, 0xe4a1ce09, 0x12e8237d, 0xc4f3b91f, 0xe7baa43c, 0x5062b2b8,
+    0x8a6a024d, 0x7d870112, 0x84bb6a2c, 0xaaa5711c, 0xa94c11c8, 0xefeb8096, 0x5872d046, 0xba214762,
+    0xa751e4ff, 0x4226ff52, 0x89cc183e, 0xcb7932dd, 0x2edc61d9, 0x642166bf, 0xd3530d25, 0x60d05bc5,
+    0x9506bb62, 0x6518e2ae, 0xb8215ac1, 0xf2a44408, 0x5697daff, 0xea792790, 0xf1932386, 0xa2c81a63,
+    0xba884a2c, 0x34f7ea0a, 0x1e6a778f, 0x5a5d2b00, 0x29bdf9fb, 0x932f227a, 0x3b2e1357, 0x2558fb44,
+    0x1e255c94, 0xa1f45176, 0x2d01fbfe, 0x9a1b1014, 0x658de081, 0x7a1c8bc4, 0x20462740, 0x5b04ff19,
+    0x9300a233, 0x696176a4, 0xc422dd11, 0x8ee7cb26, 0x2ab9b0b4, 0x6f361ab0, 0x32470ad5, 0xb6ba832a,
+    0xd48b092f, 0x7cdd9ecd, 0x12121836, 0x9401d820, 0xa8bdaee1, 0x2d051760, 0x32bf4fc5, 0xa10a5f47,
+    0x68332c8a, 0xf0b363d9, 0x64cd924d, 0x9ca62c0c, 0xec654d8b, 0xd39a06de, 0xc119da57, 0xa3693f72,
+    0x794938b9, 0xad98b3c2, 0xb14cc5ba, 0xd3ee206a, 0xc45343da, 0x819f45c1, 0x20cbf9cd, 0x995186cf,
+    0x84f640b9, 0xe7408a8d, 0xdc02fa8c, 0xe4d985e0, 0x81a5e159, 0x3bae62e2, 0x9f6add41, 0xb82feb9d,
+    0x633c09c4, 0x77d9b181, 0x3d870a67, 0xe40a9a49, 0x8712322e, 0xacb532e6, 0x0443e63c, 0x0d991cee,
+    0x8c5f2aba, 0x9015eb61, 0x8a5c4e22, 0xf9e57f84, 0x101069f4, 0xb4c021fb, 0x866ceb92, 0x0982ff19,
+    0x9a3e2931, 0x030641c6, 0x89f5de7a, 0x670a6c94, 0x7b4dc42c, 0x3a94fa7d, 0xbf9cd22c, 0x34a235b4,
+    0xb1f110d5, 0x1031ebd3, 0xc79e3ccb, 0xfdb0edfb, 0xbf11dc6f, 0x52a210bf, 0x00fe961f, 0x5eab6911,
+    0xcb69a951, 0x025cff13, 0xbff77ad8, 0xca3d6d1b, 0xefddb9c5, 0xd68dcabd, 0x6c2a900a, 0x1f7a9108,
+    0xdf2b474a, 0xa0df2a7a, 0x52d1a431, 0x77d635ea, 0x86058797, 0x0a16ee51, 0x7ed83788, 0xb5a75775,
+    0x0aa6f459, 0xb6bc969b, 0xcb99775f, 0x8d87f535, 0x619e552d, 0xfeb85799, 0x277206d7, 0x97224c01,
+    0x8e315591, 0x50a7f18c, 0x77ee51d7, 0x810fa065, 0x98db4ac8, 0x9b900254, 0xfc80f28f, 0x477a3975,
+    0xd8334839, 0xd7e6327f, 0x221eba6b, 0x9618991c, 0x2cea3008, 0xbd2ed522, 0x62baa6e7, 0xae0a8a40,
+    0x24c2f3f6, 0xbcc79b97, 0x89207975, 0x862c7489, 0xafc0774e, 0x5ba8359c, 0x02553bef, 0x9c3cb787,
+    0xd1e4ff91, 0x20f3c876, 0xda2b8166, 0x9bb2b6d7, 0x21d03ecb, 0x0ec63a59, 0xad753e95, 0x2bae3fa1,
+    0xce2c9e14, 0xfcb9a8a5, 0x8b7a96ee, 0x70b4852d, 0xc22665ba, 0x935a43a5, 0x8de5ce48, 0x70104a10,
+    0xfa7a3ca9, 0x2c9f28b6, 0xbf0b4fad, 0xc220fba5, 0xefbb41d9, 0xc775b4dd, 0x5dc1beb5, 0xa67fa5e0,
+    0x1bc6737b, 0x9b4699e4, 0x16ea5527, 0x320f385e, 0xb2400118, 0x62a929ab, 0x084e825c, 0x19e42fb5,
+    0xdfa76235, 0x163a35ba, 0x39e70650, 0x7b838333, 0xc151dc9c, 0x3656a114, 0xd260cf8e, 0x4a15b88b,
+    0x7d5979d2, 0xea302216, 0x3d078e49, 0x39cc777a, 0x7bbc4f69, 0x3a84681d, 0x16644038, 0xa2cfca3d,
+    0x9e28bb0d, 0x5bb3b649, 0x5fb8801e, 0x4edae887, 0x49beebd3, 0x7ff5ce57, 0x67e19cae, 0x13d42ab9,
+    0x6b7f96c0, 0xb36b5019, 0xa6ade613, 0x7ec075f3, 0xdd7ee2d5, 0xce4a41ee, 0x1913d726, 0xa0940681,
+    0x6419bfb2, 0xd7c56216, 0x7f3dc1ee, 0x4cafc108, 0xeacff13b, 0xb2b01af1, 0xea50a35a, 0xcb7eb45f,
+    0xe76e3de1, 0x5d455712, 0xf572e91f, 0x2713c42e, 0x85b336e9, 0x86aae354, 0x9b78ef03, 0xcfd26cec,
+    0xed6587df, 0x958592f8, 0xb0f6e152, 0x5c7dcadb, 0x76b1bd62, 0xee16b930, 0x99e60c19, 0xf2a4531a,
+    0x3f86b496, 0x9491a7ab, 0xedde4a0f, 0x68e6d4e4, 0x16ba2890, 0xc97a9a34, 0x70616795, 0x9466a4a9,
+    0x6f71ca9e, 0x7dfc7853, 0x37aa503a, 0x6e6265ec, 0x38321cee, 0xd0096a5c, 0x72fe8309, 0xe4a692f4,
+    0x8afdbfcc, 0x48fdfa49, 0x57ddfa16, 0xda635647, 0xed064984, 0xafc0dbae, 0x38b358f9, 0x8a6a6b0d,
+    0x51deb1dc, 0xfe01c5e9, 0x3357d3c1, 0x67508ac0, 0x7f429d76, 0x92bd5245, 0x54fb6983, 0x2eb5b763,
+    0xc891b49b, 0xe9c95d0f, 0xb0808aba, 0x89642fd0, 0x70d3524e, 0x3e6179bc, 0xc4c3eb01, 0x7d886079,
+    0x31c1aa02, 0x9a082790, 0x2b7517dc, 0x0f9c0ec6, 0xbc000015, 0x85fcde55, 0x9042fff3, 0x87b4aa7d,
+    0x00000000,
+    0x50d7b91f, 0x8eb42f58, 0xf892faad, 0x77547ce8, 0x19943f7a, 0x0b9e1674, 0x46dab202, 0xdeceb53a,
+    0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000001692303280103036413316903188563893861960715988388\
+                         55992136870091590247882556495704531248437872567112920983350278405979725889536 */
+  { 0x00000000,
+    0x4b2dd634, 0xa902efd2, 0x087cf14d, 0x48d6b452, 0x01e36672, 0x0f0b1919, 0x4a4ae274, 0xd1c4fb40,
+    0x516bbabb, 0x12ae552b, 0x223fccae, 0x49ae0cfd, 0x5ca7a727, 0x99feb2b8, 0x0ac29ea7, 0xb980d990,
+    0x2d2f47f1, 0xb7fdbd16, 0x576251d4, 0xcd82c57e, 0xdea190fd, 0x5ca5d7c3, 0x3e6a38fe, 0xbbd386b0,
+    0x0f9cf64e, 0x9f797071, 0x4b283880, 0x0db6e495, 0x7abd4f9a, 0x2dded0a8, 0xc1cc7622, 0xb021c69f,
+    0x1b97c605, 0x10e57ffd, 0xd3716b48, 0xdd6c809d, 0x6dfc4ae4, 0xbc0fd124, 0x0cffd654, 0xc5754049,
+    0x486d579c, 0x7707faac, 0x0f4549ac, 0x317a773b, 0xdf4d8573, 0xd791bb2b, 0x1e2e7544, 0xbc3978b1,
+    0x180d69fc, 0xc72a9da3, 0x73ad17d8, 0x021e410a, 0x019cd83e, 0xa00be07e, 0x650ac693, 0xe7cbcb62,
+    0xefda6a9b, 0xccde7ca1, 0x4d735e97, 0x47f51042, 0x53d5d4d2, 0xda111730, 0x1dad64fe, 0x772a60e8,
+    0x024b538a, 0xb83f2bef, 0x52b3a239, 0xc5d3f0d9, 0xbb06cb36, 0x1e0d1318, 0x5202ea13, 0x10970c8f,
+    0x56be085a, 0x53a5f675, 0x4d2cbc69, 0x462a0a1b, 0xd18cd16d, 0xf709b247, 0xd4b9e7e0, 0xa934c538,
+    0x1ada8d0e, 0x5c08f776, 0x7940081e, 0xede1806c, 0x722d149c, 0xf3283b36, 0x73493ff9, 0xe5faaa06,
+    0xbbb2ce19, 0xeba17390, 0x4cbe7432, 0xecc65b77, 0x6b369e41, 0xbf44a717, 0x533f62ed, 0xf33742cc,
+    0x72d650ca, 0x1409fed0, 0xfd1292a7, 0xde8ce9b3, 0xefe9885d, 0xf426550a, 0x296a73a7, 0x61175416,
+    0x9ae2f046, 0x93f66356, 0x2fbaab3f, 0xc4ff0003, 0x0fb797f4, 0x7d5dc9ec, 0x6d78d7a5, 0x08f83c07,
+    0xc8f6be6e, 0xc307bfcb, 0x33b28364, 0xdaf290ba, 0x42310d58, 0x546fed14, 0x69a01fba, 0x2312ac16,
+    0x78fb2ff0, 0x1cfc342f, 0x88a837cb, 0xe75c6a04, 0xb17cc93e, 0xa994601b, 0x9a61d96d, 0xd254ef0b,
+    0xfb26efb0, 0xce3f82ca, 0x14ca3db6, 0x58a906bc, 0x200a5845, 0x630acb99, 0xf9a0b9e5, 0xe42a063a,
+    0xfb0dc00f, 0x0e6ab20e, 0xf003a740, 0xfcab7546, 0xdb18b6a2, 0x2c13c2bb, 0xba70b2dd, 0x8fd8eec6,
+    0xa95c6133, 0x96ac1ffa, 0xba0d5ce7, 0x2161fefa, 0x596d4288, 0x9d149862, 0x48761646, 0x216c9d27,
+    0xccfe6bdf, 0x0d982cc5, 0xb0384d98, 0xa1f6f6f8, 0x2917075f, 0xb4ea29c5, 0xfbaf6e02, 0xf2880864,
+    0x14e09b49, 0x96c16ef4, 0xa3ef61e7, 0x41ff9380, 0x9a2236a8, 0xe2ea8a3b, 0xc014bcf5, 0xe1a93a52,
+    0x032e7672, 0x63c6022f, 0x0ec67169, 0x4d0e079d, 0x5f71941a, 0x441ac563, 0xa1b5c39d, 0x97d4d81f,
+    0x4c07e8ca, 0xb0be7d9c, 0xa9ed9c4e, 0xb8100c5a, 0xa2eae867, 0x0155d339, 0xb6bbc583, 0x133a13c2,
+    0xa9db5b5a, 0x04c4eef5, 0x3f9e653a, 0x28f2cb38, 0x36609888, 0x414646d4, 0xbcf9a9e9, 0xc1d402af,
+    0x74df96bd, 0x84711abe, 0x55c2b6a2, 0xa9aa5fd1, 0xaf011f6c, 0x566fba41, 0xc59ff055, 0x941edb80,
+    0xdbe05e00, 0x19eb1979, 0xa29eb021, 0x3a4c67dd, 0xc4187297, 0xa27b939c, 0x676d1ca5, 0xbf20cbcf,
+    0x7bdec767, 0x2dc5def7, 0xc540e956, 0xe9903164, 0x77a55d0a, 0xdfd8db80, 0x8a3882df, 0x24a7b157,
+    0xc3b6cd27, 0xb94aa679, 0xc2d42c03, 0x9d260da8, 0x7b88d643, 0xa55566a4, 0x9ae4a981, 0x2254199f,
+    0x8c57ef73, 0x0d69250e, 0xb1b94ad2, 0xcc8f1dd1, 0x34173a34, 0xf46dcf2f, 0xa74059aa, 0xaa056e9d,
+    0x321728bc, 0xdf07402f, 0xb87e6405, 0xae73d7e4, 0x4ba868fa, 0xd648dc54, 0x655fa102, 0xfc62def7,
+    0xce307f6c, 0x3ed80822, 0x0b53795a, 0xda977f55, 0x84f5756c, 0x3c8eca98, 0x54dbe4f0, 0x03e1267c,
+    0x837b0a84, 0xc39abea3, 0x0dd840d6, 0x6430c4d3, 0xcee8d4b2, 0xf56d7357, 0xa1f2cc52, 0x7879d67d,
+    0x59ed96ef, 0x3e23b998, 0x72a547c7, 0x1c9dc1fe, 0x351e59de, 0xba14afd3, 0x7a006a22, 0x35758b49,
+    0x7a0c6def, 0x04faabb8, 0x9ee66087, 0xa823c707, 0x60ddeff8, 0xdbcf0dca, 0xaa002b29, 0xa7cb4a77,
+    0x355e8215, 0xd68e8bee, 0x52ad7b34, 0x7e6e0f53, 0x39c743cd, 0xaa2adbea, 0x18b02735, 0x72cca01a,
+    0x78ef1d8d, 0x2e7e5704, 0xcd7886ec, 0x8cda8994, 0x26da106c, 0x8a890313, 0xb33675cc, 0xb57dee33,
+    0x8c1465e4, 0xb571ac5a, 0x544dac97, 0xc4fddb4b, 0x9507d07d, 0xc4d45e9a, 0x7fc7ae8a, 0xea813542,
+    0xb97e9319, 0x5e732baa, 0x2711f7a8, 0xb7c0f37b, 0x8ef9e249, 0x49a7d418, 0x675c6b16, 0x8cc98d08,
+    0x70307e84, 0x719ac4df, 0x36fe87df, 0x9b8b9762, 0xc9ff9609, 0x0e926892, 0xca8c0898, 0xc051d77b,
+    0xc6a04b86, 0xd16e6de6, 0x217b7532, 0x037ccd0d, 0xe27cdb92, 0x73b17d24, 0x063c376c, 0x3b0ea902,
+    0x1346ae09, 0x691fcaac, 0xc12dcf23, 0x586db70c, 0x298420df, 0xf7ebcaa6, 0x849ab1b9, 0xee728d41,
+    0xb61e3c4a, 0x9dfaed84, 0x63287561, 0xc767f1fe, 0x38617db5, 0xfb62c2a6, 0xa243e8a2, 0x6f2e3e43,
+    0x51733d04, 0xce2d9bc8, 0x008a0297, 0x6608492d, 0x889c9d63, 0x963c9441, 0x699d67c3, 0x39e94ff1,
+    0x2a7846c0, 0xa8b5efb6, 0xe486b515, 0x42ebffb9, 0xb8ebb091, 0xf87ecd77, 0x132b253f, 0xdd8614f4,
+    0xd07f5f72, 0x7da2ee31, 0x01aba914, 0xec26a8bc, 0x0c7b2fbb, 0x9f6bb800, 0x264dc6c8, 0x4e815027,
+    0x1be0a4d6, 0x89b3d7a5, 0x74aa3867, 0x08b01d65, 0x19767820, 0x1e7c5eb3, 0xb793fda1, 0x26e3d507,
+    0xc70529f3, 0x2b0a98e6, 0x184868e4, 0x2d7065cf, 0x4941de95, 0x09e1055f, 0x19747879, 0x8a4f7493,
+    0x5e4d8392, 0x133b0fb5, 0xf8c6bb18, 0x8536a7bb, 0x2edffb3d, 0x6a6fae1f, 0x8285dd29, 0x6e2b1358,
+    0x2043b8a9, 0x524b6c48, 0x8592cc65, 0xa2d39af1, 0xfeddeafe, 0x6ed459c5, 0xa432e033, 0x7250e55f,
+    0x0f2abc8b, 0xe6154b77, 0x2df38aea, 0x4cbd063f, 0xa3b71676, 0x1c8fc3a5, 0x975e5ec8, 0xc54d93c4,
+    0xdd91ef2f, 0x6d47a43f, 0xc929408c, 0x4bb74f1a, 0xef7eeeed, 0xe15489ff, 0x3da5ee1f, 0xa7b44f99,
+    0x9494b818, 0xf4ada8a5, 0xd3a4fdb8, 0xfb75ae9d, 0x25fba3d7, 0x44ee7f45, 0x0c89f152, 0xfc53bd4f,
+    0xca0c2a67, 0x51dac86f, 0xdf437997, 0x91f05c8b, 0x08471842, 0x592ba208, 0x6fd66370, 0xc66cebcd,
+    0x2d94cbe9, 0xb101e789, 0xe3743541, 0x873f02c2, 0xc68f91b6, 0x8c3e2b57, 0x03b180be, 0xf5f54483,
+    0xa01039c8, 0x35580bac, 0x279a7acf, 0x46d56a56, 0x1f43740c, 0x724372f4, 0x1d656096, 0xb7ecd302,
+    0x477af19f, 0x1431e3ba, 0xb196eb4a, 0x3aa8b03c, 0x1b65f95c, 0x86b99799, 0xf912782c, 0xc9c682a0,
+    0x216b4109, 0x8c42a5c5, 0x6e76a6db, 0x16fdb427, 0xd35ba18d, 0x85cb2e94, 0x91176793, 0x9867aaf4,
+    0x8b0b0ee4, 0x09d540d1, 0xaaf2d81b, 0x8dc45b36, 0x64786d89, 0xe848bf6c, 0xc4128cb9, 0x904eb6ee,
+    0xd316ba53, 0xbe3d6460, 0x63af79b5, 0x26676edf, 0x5d711c4c, 0x121a7281, 0xaf68a67a, 0xc25998ce,
+    0x6ce605dc, 0x5aa3ef54, 0xbc085204, 0x603e6e66, 0xbce3342d, 0xf05746f0, 0x66038281, 0x85db65cf,
+    0x8558806b, 0xd474ef83, 0x3069896b, 0x8e56562d, 0x594d33eb, 0x98a1e217, 0x82243886, 0x1292e2fb,
+    0x5565775f, 0xb70198f3, 0xcbbeeee4, 0xbb3203b3, 0x3a45777a, 0xbb63c3ef, 0x9367affb, 0xa15e8860,
+    0x75c4584c, 0x9278d3ef, 0xb073ce20, 0xa4786899, 0xb7a021dc, 0x4e95028d, 0xe2d2e246, 0xf60b65c0,
+    0xe5ac0e45, 0xbe396e48, 0x4221cb24, 0xcba70eeb, 0xa68c1c75, 0xddeac8fc, 0xeb742590, 0x0e287da0,
+    0xdbe77eb9, 0xc957001f, 0x47085183, 0xcb31d5d4, 0x3735a10a, 0x42941437, 0x62058bec, 0xce8acb77,
+    0x626c699c, 0xe1935a2c, 0x72636721, 0x805bb3fc, 0x4cd48805, 0xf1ce3b2f, 0x29770d1a, 0xb0f6a1d1,
+    0xc4984d91, 0x1015b21b, 0x2c4e2bee, 0xc0b4980d, 0xaceab4c8, 0xadd0a9af, 0x4f40886f, 0x3f852ce9,
+    0xa90e197b, 0x8883b4a9, 0x5cf6fc04, 0xed825f74, 0x8d38e4e2, 0xa40037a8, 0xe3a2679d, 0x8be07a91,
+    0x3ccd9271, 0x5d6dc2ea, 0x3755fd92, 0x67d9c09e, 0x49302fc9, 0x9ec11623, 0x86448543, 0x9f2c430c,
+    0x487df848, 0xd0d3dcfb, 0x642aa17c, 0xc10ba4f3, 0x9c2ff29f, 0x30f23d55, 0xf3a3aa8d, 0x9c1ee4d3,
+    0x1bc70f63, 0x46e4fbec, 0xa8ea9ef0, 0xe3c4b8d5, 0x894a45d6, 0xe5c8fa82, 0xb6b35031, 0x3aa8f946,
+    0x0361303e, 0xd4eddf1f, 0xdf1c35fa, 0xdcd89871, 0x9fa54c6a, 0x2d525f2d, 0x8c029d98, 0xb8b1bdf8,
+    0xd896fb12, 0x16344af8, 0x9a565cf4, 0x3dbeccfe, 0xfee2e00f, 0x64779c86, 0x1e50173d, 0x47dac879,
+    0x8d87678a, 0x3eea8dcb, 0xd729fcb4, 0x6827ae0d, 0xb2009684, 0x35178ae1, 0xc398d854, 0x3ff38f7f,
+    0xae9b4fb8, 0xfd9cb12a, 0xe44b4a45, 0x8a9183f7, 0xa9155e56, 0xae47f9cb, 0xd6b2ec6b, 0xae409028,
+    0x7796bec1, 0x17f5c4eb, 0xaad703a1, 0x1a3ab31b, 0x25a0dec1, 0x7644436b, 0x6be09243, 0xd40d62a7,
+    0x0bd8640d, 0xd4f8fd0b, 0x0f71954c, 0x7e4866a8, 0xa01dc0ea, 0x2a043534, 0xcdc3fe36, 0xd7f81e1a,
+    0x30855a76, 0x74989884, 0xa784f3e3, 0x327a3983, 0xf3957d91, 0xdaad5687, 0x43114dbb, 0x355c60df,
+    0x7e8430b4, 0x2d154fde, 0xb3698041, 0x61c20ff8, 0x998b0b45, 0xa1096c1c, 0xf5be12a7, 0x3687347a,
+    0x10a7ed55, 0x0535f550, 0x4c7aa9c2, 0x705f39d8, 0xae99482f, 0x9931a19a, 0x52e4c9f3, 0xb3836f9b,
+    0x3e0254e9, 0xe7abbdc8, 0x2939b8ed, 0x94d38e6d, 0xd7b84cb9, 0x7053b6ce, 0xe1826fe3, 0x5039df56,
+    0x1b85d611, 0xc9ec550e, 0x0ce4cb4c, 0x40f5a56e, 0xe469c791, 0xd660fd32, 0xf336339d, 0x68fd96b6,
+    0xaf77d8c6, 0x037f4ac4, 0x62b20f3a, 0xdc917a9d, 0x7a8924c4, 0xd0b374bb, 0x93e17fe5, 0x547c876c,
+    0xca06f4a9, 0x47d1106c, 0x59d05c99, 0x2cc3bb7c, 0x03d2ea71, 0xce6a2bd9, 0x0af48a49, 0x13c3c5dd,
+    0x9bef336b, 0x521788e5, 0xe4198f87, 0xe3043978, 0xf560a697, 0xeb507e9c, 0xd5f320da, 0x51f5396c,
+    0xe5acf47a, 0x753e1efb, 0x626afda0, 0xd6101e6b, 0x96bed7a1, 0xbcfa06c9, 0x746afd8e, 0x41fa53d0,
+    0x3f4a957b, 0xb3ea7f93, 0xdaeee564, 0xc06c6169, 0xecf11c42, 0x28df8d51, 0xb6b462df, 0x2f5156c4,
+    0x4cdffa18, 0x31e0eb63, 0xd0617da5, 0x2484edab, 0x70122bf2, 0x971ea4c7, 0xcd3b273e, 0xd1cca109,
+    0x46e93fcd, 0x86d938c0, 0xdd2ebb2a, 0xd8278110, 0x4efc9ba0, 0x0504a966, 0x89a9691d, 0x6011c9f1,
+    0xe8cb804c, 0x72db261b, 0xfcb48462, 0xabe6fadb, 0xcf8192a2, 0xac4a40b2, 0x3d643c61, 0xd2a69783,
+    0x610763dc, 0x27cc5c5c, 0x4df4e4aa, 0x9f022279, 0xc73b827c, 0x6dae659e, 0xe66d0afa, 0x57220453,
+    0x1b5e26bd, 0xde4c9273, 0x5666cb9b, 0x27c9066e, 0x4fb584bc, 0xbc990721, 0x01c50996, 0x8efb5e80,
+    0x7ceec341, 0xbe0b7c5e, 0x27dada51, 0xe080ef55, 0x3c1908e2, 0xef0f6007, 0x6a497637, 0x6abdbb79,
+    0x951664e8, 0xa3ac3731, 0x01bcbd87, 0xb8e8ad8a, 0xeb2632a5, 0xb3c6b84f, 0xfed79c71, 0x14df9c29,
+    0x451c3b57, 0x2f14ddbd, 0x910f266c, 0x105f34e2, 0x6fe9e8a4, 0x94f9c5d6, 0x185a8cb6, 0xb3699f23,
+    0xc3fcfc7a, 0x6409ef18, 0x541d1386, 0x14f04403, 0xd26c85e1, 0xf756bcf8, 0xa9ba90b5, 0x14b40fb3,
+    0xc5488801, 0x47d9088e, 0xe75ef97a, 0x955c4e38, 0x913f78fe, 0x143bf4e3, 0x5134890a, 0x07410116,
+    0x3e00c8fb, 0x0ab27ed2, 0xef68109a, 0x4cc61c48, 0x6d2f13af, 0xe52f0d20, 0x1c984f1b, 0x4688efde,
+    0xb216438f, 0x391ce71b, 0xd425a1ac, 0x07bbfffb, 0xf0ebf1b2, 0x5c2a7119, 0xfb2f3750, 0x9ee2463e,
+    0xb190c9d2, 0xee721e6d, 0x62f8f196, 0xfad490b5, 0x246a4867, 0xab593fe3, 0x5ef54980, 0x4fab1463,
+    0x736f8114, 0x221a0c7a, 0x3203b8ce, 0xf25d40f8, 0x6d82c703, 0x83c6dd82, 0x26b31e40, 0xebb5f929,
+    0xd99d40f2, 0x104d5e1f, 0x50b9688c, 0xfd63ea07, 0xb70e70a9, 0x03e5e8e8, 0x24483b3b, 0x53e6a3bf,
+    0xf30dd877, 0x91ffd2f7, 0x5b2ead2e, 0x7b864ceb, 0xa87bb461, 0x6cf8f552, 0xe6444786, 0xcad01c37,
+    0x5b71fdab, 0x5d20ca16, 0xab06ffeb, 0x854f15c8, 0x2bef0cd9, 0x41791cba, 0x1c61afd3, 0x60d177e4,
+    0x95434eb2, 0x4e5a9d50, 0x1fb68fb0, 0xd0f1e945, 0xa7ebe251, 0x4329b3b1, 0x4fea03e2, 0xeef46600,
+    0xae31bbcd, 0x06691598, 0xa9b5c90d, 0x4aee88d0, 0x0aaa43e9, 0xde4b4e6d, 0xbbb55b40, 0xdcc42f4e,
+    0xea5e538e, 0x6a3e8a7e, 0x4c201b83, 0xf571a567, 0xee8243b3, 0xb50f45c2, 0x15959b82, 0x39a8f25a,
+    0x75aac898, 0xad791149, 0x3c9e2390, 0xcdf3ba3d, 0xafd41673, 0x60c0f127, 0x6028dd7d, 0xd357aedc,
+    0x60437d1a, 0xbae71db2, 0x9816e322, 0x340740e1, 0x8c9e20f1, 0x53ecede2, 0xfbf776e9, 0xf6ffc2f0,
+    0xc65f144e, 0xde374f20, 0x5ed50adf, 0x82b92f4e, 0x9fb29483, 0x18bf2647, 0xa23c85b6, 0xad64d6f9,
+    0x1183288e, 0x15088f28, 0x6f500501, 0xb14666bd, 0xee8d5da5, 0xc087e704, 0x6eede317, 0x6a379a46,
+    0x4904654d, 0xa3691e21, 0xdc0201bb, 0xeeabcd86, 0xb6ed8456, 0xe61dd416, 0x28fba30f, 0x0a4caa40,
+    0x06ad068b, 0x61b6de80, 0x86d2f550, 0x44d77a6d, 0x97819f46, 0x74489e76, 0x5ddf7eca, 0x7e8789b1,
+    0x421e1fe4, 0xec3676fd, 0x14203f56, 0xae64fe8e, 0x569dec9e, 0x85d3b9dc, 0xc7fef910, 0xcd3b498d,
+    0xec7687b0, 0xfdc767b0, 0xc6f1d3d8, 0x590d0815, 0xdcd1eb89, 0x00d5831f, 0x1b0aaca6, 0xaa2dff21,
+    0x533675ba, 0xf22b4733, 0x07479b59, 0xac443729, 0xbef29cff, 0xcfef0032, 0x5ddbf3e7, 0x11f14e77,
+    0x221f03ea, 0xcb35d215, 0x667e843e, 0x343d2b04, 0x794d21bf, 0x9587d11d, 0x03b69298, 0x0bc93235,
+    0xf2cd43c5, 0x36a10ea9, 0xef2b5070, 0x2b3a16cf, 0x81e95cba, 0x6bc9530f, 0x4ec29299, 0xa43973d1,
+    0xc763582b, 0x5b80eccf, 0x4e2ca6ae, 0x6ebe3fce, 0xebf9d935, 0xa840632a, 0x23ed003a, 0xd5b81881,
+    0x2f8b1c93, 0x1410e8f5, 0x34ffff85, 0x8a25b85d, 0x60aa1740, 0xe883d8ea, 0x9713db3f, 0x220de6fd,
+    0xeca21e4a, 0xb1a71b25, 0xbe50a966, 0xe9247e1b, 0x0d650f17, 0x7fe5729f, 0x2684fda2, 0x30e35f40,
+    0x4f71bb71, 0xc4fc3af5, 0x16c7abd3, 0x084f5a12, 0x74b143b8, 0x4ca3eeab, 0x07aee406, 0x83f6663f,
+    0x055a2330, 0x31fe5c17, 0x0c2dc4ce, 0x2cd6b261, 0xd5c46873, 0x1ec22061, 0x35889890, 0x187e7425,
+    0xda5d6218, 0xb1da37a4, 0x4eab5d71, 0xae243e37, 0x10640f43, 0xadf8a1fe, 0xb48b585a, 0x762f683a,
+    0x4afefebd, 0x58eb68ae, 0xeee510a5, 0x0c8bb574, 0xc20c4410, 0x98425e33, 0x01f0ecbc, 0xfd193ac2,
+    0x7939cef5, 0xede1279d, 0x541564de, 0x6e3595dd, 0x4da0d7bd, 0x884dd6c5, 0xfd688f00, 0x83cbeb4b,
+    0x00000000,
+    0x286bdc8f, 0xc75a17ac, 0x7c497d56, 0x3baa3e74, 0x0cca1fbd, 0x05cf0b3a, 0x236d5901, 0x6f675a9d,
+    0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000846151640051518206658451594281946930980357994194\
+                         27996068435045795123941278247852265624218936283556460491675139202989862944768 */
+  { 0x00000000,
+    0x60a2d18a, 0xa53efd88, 0xda2d3406, 0xd0af82e1, 0x7bbbe29e, 0x13ac9003, 0x25784cb5, 0x2facf547,
+    0xf038a455, 0x343b9367, 0xbba4dde1, 0x8464e9cf, 0xe4d383c8, 0x01d7f271, 0x5e4d124d, 0x2df0df20,
+    0xc2b93273, 0xf5ef78ba, 0x245b00d8, 0x63c17d8f, 0x0caee91b, 0x6c1a97ff, 0x90e44c83, 0x34bd5d11,
+    0x4c541449, 0x5bea42d6, 0x7c09d063, 0x3e658d77, 0x0e1e815e, 0x6b8a9b36, 0x963781cc, 0x92bb8cf1,
+    0x6bedf4aa, 0xaf36fbc0, 0xba8599e1, 0xaf892e80, 0x90438389, 0xe44dcd05, 0x22854b64, 0x47a7e221,
+    0x2e1ce71b, 0x22845a2a, 0xf3dd5c27, 0xd14e8e38, 0x7dcd785f, 0x2481404d, 0x7ab43220, 0xaf4956c2,
+    0x09536814, 0xb9f56aa0, 0x5a63fa82, 0x6b256faa, 0x0c6cf461, 0x175563e9, 0x9ba08312, 0xa8284806,
+    0xd3aa74e1, 0xffe85694, 0xca99f5be, 0x90a4e568, 0x4add26c4, 0xe726fa52, 0x6445e8a7, 0xf5abf463,
+    0x66084795, 0x9fd57df6, 0x2b1b6578, 0xd55312a9, 0x42f2855f, 0x4e90719e, 0x0b4dff4c, 0xcb0fa81b,
+    0x7f9c722b, 0x45048609, 0x187dd37d, 0x9d6aed50, 0xbcb75ce1, 0xa233f4ae, 0xd032d42e, 0x55ffb580,
+    0x8e555f55, 0xd927a3e5, 0xdcdca90e, 0x2212c411, 0xc31c6e85, 0x6e4d3980, 0xe3dfad55, 0x5ff1ad49,
+    0x6c0298a1, 0x8b9cee68, 0x04586e1b, 0x3346cae3, 0x914c8d69, 0xbff7d5d9, 0xf67f0089, 0xb0a9a946,
+    0x680c4419, 0x264aa9ac, 0x56724ad3, 0x0159c84e, 0xb2cfaff8, 0xb4ef8043, 0x7642304e, 0xbc4960ec,
+    0x5c3163bb, 0x55d7796b, 0x4fdb002b, 0x667594e4, 0xb3083d3d, 0xa1c7968f, 0xefd7acf7, 0xd0b990ca,
+    0xb1094e9d, 0x703ad107, 0x514e595e, 0xc43a7bda, 0xfd9ac3c8, 0x3b9228c0, 0x75d916e8, 0x673b6fcf,
+    0x33ee3afd, 0xd56823f4, 0x2cb23e39, 0xa1b251f0, 0x2a453de7, 0x6d5a7743, 0xb14a972e, 0x064dbfcd,
+    0x526f4441, 0xd3afc7ce, 0x43c5cd68, 0xd2fffa26, 0x4fdac1b1, 0x343edc99, 0x9884f68a, 0x17483da6,
+    0x0b4363d8, 0x6c6e4779, 0x877550ec, 0xf96b156a, 0xc5dc1180, 0x2a906416, 0xa52d7660, 0x01aa3e95,
+    0x80bf5091, 0x7f89b547, 0x4c1cc103, 0x8341422e, 0xe04d4800, 0x8858cad7, 0x26a535ea, 0x67b9a5c0,
+    0x413cefdb, 0x6b037a91, 0xc068d79c, 0xd3f37013, 0x7c8659d7, 0xfff25767, 0x0ce26cb8, 0x22b8bcc8,
+    0xb81f81c6, 0x471d3625, 0x031e7a01, 0x10fc08d8, 0x4ab34381, 0xb8c97974, 0x1c4ee4a4, 0x0f72a282,
+    0x8baab975, 0xf850d0d3, 0x37d42bc0, 0x2d3c2ab5, 0x8e44f9f1, 0xdd12d5f1, 0x4f2b42dc, 0x38f0a14f,
+    0xcc73da08, 0x6b4a56fa, 0x75f9ac22, 0x5b8137b4, 0xc68087da, 0x767f190a, 0xe0bd0e39, 0xc51f8a96,
+    0xeed47710, 0x3eda6210, 0x1306b4ae, 0x5c632b77, 0x91857d5b, 0x813042e2, 0xe6e8e9e9, 0xe1b7591c,
+    0xee2b3929, 0xf9eb13c3, 0xd82dd786, 0xe33b7b00, 0xbe68e0de, 0xd44371ef, 0xaef6fd98, 0x038cedfb,
+    0x63383a67, 0x76839e6b, 0x20ae2c35, 0x2ebcd8d7, 0xd6502ed7, 0x3dc4c152, 0x467fc91c, 0x79ba480b,
+    0x2b08fff6, 0x8a90d4c3, 0x48fd51d3, 0x1099bb0a, 0xe775699f, 0xe3844846, 0xa0632fbc, 0x67c78587,
+    0x705dd03d, 0xb5bf45f2, 0x429fa889, 0xa164db08, 0xcb04e4bf, 0x01cf1e11, 0x812e7d40, 0x818b9de2,
+    0x67cd2e0d, 0x8175b994, 0x9a09f7db, 0xcb6cabc0, 0x47e0f38b, 0xeef4d0b4, 0xeda2039e, 0x8c973502,
+    0xade1b711, 0x98f2c884, 0x261b7415, 0x7dfc7d2e, 0xd3cf1ed3, 0x65ba7c60, 0xf9de09b6, 0x721752d5,
+    0x965c87d2, 0x1d2d4803, 0xf47c2e3e, 0x66c50649, 0xc834b014, 0x4ef50544, 0x91db1f9d, 0x9f927491,
+    0xe2cf48e1, 0x33a3beae, 0x837be1e9, 0xe6f623a7, 0x55d3c862, 0x507dbad3, 0xafca6ab8, 0x4233e32e,
+    0x3393240f, 0x0c559cf4, 0xc6a64a43, 0x62ad1f1c, 0xcaa39b87, 0x7e35aedb, 0x46fb11a3, 0x6840a92f,
+    0x002f4948, 0x1ef05f31, 0xa92f2576, 0x1a1e3506, 0xcc697e51, 0xc6d8ec68, 0x2abf0c8f, 0x7fae6f5d,
+    0xa6067708, 0x8ee00873, 0x8252ba01, 0x0a29708d, 0x48de9322, 0xf7b5b76a, 0x6e44e977, 0x504b62f3,
+    0x86f6db32, 0x187679cd, 0x1442b78f, 0x891e2bba, 0x3b9b5d82, 0xf07fe99a, 0xf8306dd2, 0x68ca37a4,
+    0xf1f58f05, 0xe659cf31, 0x5e3adb1c, 0xb862ea39, 0xeeb1ad78, 0x5104e243, 0x9d28b1aa, 0x152caf41,
+    0x79158cbf, 0x685b15dc, 0x3b78feb0, 0x0d75dc0f, 0x3221cbab, 0xc24ffb03, 0xfa6262cd, 0x3b719394,
+    0x879079ae, 0x32f0fd04, 0x8562b1f9, 0x502c08a5, 0x1d22f9ba, 0x7ad143ce, 0x818d1510, 0x61880462,
+    0x50f383b3, 0x584648ac, 0x19b1b346, 0xd7e5cc21, 0x062f4cca, 0x37a24a15, 0x01f7d3f4, 0xa5757bd6,
+    0xaef9c70c, 0xfc978453, 0xe57b3349, 0xccb487cd, 0x0bb343ea, 0x9b637316, 0x5086bb50, 0x25324de8,
+    0x6e6dde30, 0x76880388, 0x071a9709, 0x8c1d06ba, 0x473aa267, 0xa78807a1, 0x9ea4310a, 0x63fbef47,
+    0x5235ce9c, 0x9bd425d0, 0x8f8c8a27, 0x6ca7c3d7, 0xe194bf7d, 0x007164b4, 0x71cdb253, 0xb9c0cac9,
+    0x8aee6b16, 0x650a60ac, 0xee2dfaeb, 0xb6c6ad30, 0x1045d5bd, 0x7a37dbaf, 0x6450a67e, 0x5cfafcf1,
+    0x8bda9aed, 0x460b2f1f, 0x15ddf4a4, 0xa0846363, 0x0f25490e, 0x4ac7a9a8, 0xe05ef247, 0x9f3e290c,
+    0x73f01fa8, 0xd45cc14d, 0xc1154cb8, 0x607d0569, 0xd346d06f, 0xa625da28, 0x52393380, 0x9bc8253d,
+    0x277c6194, 0x1be12f09, 0x956851fe, 0x10253607, 0xdebcecd3, 0x087d1784, 0xe75a3691, 0xbd89f8e0,
+    0x8b1359de, 0x360ca170, 0x4fe53f54, 0x53b6e610, 0xe3ef634b, 0x2b18597f, 0x6b1001ca, 0xd121dc6a,
+    0xac40f81a, 0xc212a317, 0x77dd752f, 0x86f7b381, 0x4f732c45, 0x1ef9c33d, 0xf0310980, 0x9bf314fb,
+    0x0666fb29, 0x6f22d380, 0x8c5442b5, 0xa95db8fa, 0x7df8e852, 0x48999835, 0x55d0508c, 0x46ca2a92,
+    0x520925cc, 0x584e7eff, 0xb7417f44, 0xde687794, 0xa1e47671, 0x88fd61bc, 0xe07aa120, 0x5788d334,
+    0xd4c765a6, 0x42fac19a, 0x44e6487c, 0x4374cf48, 0x285bba6e, 0xd3a85b72, 0xe583351b, 0x89f80dd1,
+    0xe1d56eda, 0x8948e6c8, 0x8bc64af9, 0x6e541458, 0x89151919, 0x39739495, 0xfec9ab72, 0xbb4df5fd,
+    0x4a0d6fc0, 0x4784d621, 0x4e80f22c, 0x44e59027, 0xfdf0b7fe, 0x4b98a46c, 0xea0e8640, 0x540cb88e,
+    0x41945215, 0x197ce156, 0x55202b91, 0xc747643b, 0x2189a27f, 0x3718cfe6, 0xd8234281, 0xb5981d70,
+    0x18be54a9, 0x94d39122, 0x1488f8c9, 0xce3785c9, 0x84402580, 0xa3d25950, 0x4ca7aeec, 0x3ffe2b01,
+    0x98a1830d, 0x8b527773, 0xc999a7f1, 0x6fe6b8f2, 0x3deed572, 0x19d606e9, 0x49410c30, 0x1b7abc5e,
+    0x497ba14d, 0x0f23b138, 0x3bc8f5fc, 0xd6d29c46, 0x7a8cf620, 0xc609ffae, 0x679dd6d7, 0x7c705ae6,
+    0x53364546, 0x9ce6ec86, 0xe049389b, 0xf569278d, 0x4ca38057, 0x1f65a973, 0x4f09b771, 0x5cde96d1,
+    0x6dcb3229, 0xae22af77, 0x857c6e97, 0x02e3abf6, 0x25f3d69c, 0xb94abed5, 0xc7298f0e, 0x534d115b,
+    0xc93eea5c, 0x2b52daeb, 0xfa89f2fc, 0xf312ef92, 0xdd1ea6bf, 0x531e4d15, 0x82bcce3a, 0x21cc9be9,
+    0x4af54044, 0x9b901a7a, 0x89684257, 0x65e60de3, 0xd38bfac0, 0xafa0c187, 0x42e68267, 0x8257d548,
+    0x1272e73a, 0x1bd97524, 0xfa895667, 0x31235fe6, 0xc5b86fb7, 0x7371a8cd, 0x9bd59ab8, 0xe9ab8fec,
+    0xe320cc0c, 0x4946312b, 0xd5598200, 0x2ebeef7f, 0xdb9fc0a4, 0xa5edd229, 0x1f697ef8, 0x256ef8e6,
+    0xcc67e483, 0xe42311e0, 0x4600e293, 0xac7baf21, 0x56c6d2f0, 0x898ebb71, 0x805ddb94, 0x10659e01,
+    0xf36bb1cb, 0x6469761a, 0xb86ab214, 0xb2b79d58, 0x0a240233, 0x871420e1, 0x00426700, 0x3f6f1f3f,
+    0x3a3329f5, 0x8c2c566e, 0x946bded1, 0x3f72e1dd, 0xa9fcce08, 0x6d8a9236, 0x21633c7c, 0x8814d0ed,
+    0xdfb7e002, 0x23a0b1ec, 0xbb1b6306, 0xe928614e, 0xf96022bf, 0x462471df, 0xbfe867cf, 0x151cea7b,
+    0x5c8a370b, 0x73882ed5, 0x2fab460f, 0x3c59238d, 0xc7ec0ef2, 0xd2e29a8f, 0x9ad2892b, 0x1173e2d4,
+    0x7abf1300, 0x7d2f49c6, 0x16e1dd65, 0x6a11cc2c, 0x029db4d8, 0xc5753417, 0xeb8b5fc9, 0xf9168d84,
+    0xe9b178d0, 0xe467d4ff, 0x52768432, 0x66c7a82d, 0x07a97559, 0xda312865, 0x34e25f08, 0x7c8424c9,
+    0x291d7bc1, 0x8787064a, 0x5bb25fb5, 0x84929167, 0x51599bd1, 0x4ae6e8c3, 0x459f4c58, 0x82bd66b1,
+    0x705dcf05, 0x8bc97ba2, 0xaa6da7da, 0x634b0b68, 0x06039df4, 0x98642263, 0x02f1922c, 0x723b8a6c,
+    0xa8edcdfd, 0x2955e0a8, 0x9df8ec97, 0x7c1abb9c, 0x1027c3fb, 0x3eeb8843, 0x6d50e6c3, 0x7819a5f1,
+    0x65f45974, 0x9dba830a, 0x163c72a0, 0xa083ba3d, 0xedbfec5c, 0x253f1e25, 0x925edaf2, 0xf5642c21,
+    0x3995542d, 0x63457872, 0xde6b4d1a, 0x99f8265c, 0x1889e63e, 0x013b10fd, 0xbb0244d2, 0x48561e36,
+    0x3d3f66ef, 0x2532dbe1, 0x7bb8bf7c, 0x531c76c4, 0xab390b75, 0xe5378bf7, 0x9b6fb59e, 0x046e7215,
+    0xf831d479, 0x93926bca, 0xd214caa9, 0x8057ee63, 0x2c8970ef, 0x7b769c27, 0x0ac8d85f, 0x23a42657,
+    0xea6aa557, 0x63cd3704, 0xa49e5445, 0x6cb1ecb5, 0xa0800d1c, 0x96aacd10, 0xb06b3b3a, 0xa63828b8,
+    0xac39a306, 0xa9542102, 0xb7f0df45, 0x6a0575d6, 0xcb50f5ea, 0xfad9581a, 0xfe8148cc, 0x8062e3b9,
+    0x8033af3c, 0x474583df, 0x29e9d16d, 0x4b18498f, 0x656c4abf, 0xfa286c2d, 0xeadfa9ac, 0x8dfd0b82,
+    0xff1bd2e5, 0x73bda8f6, 0x134a551d, 0x11ac4128, 0x1a166a4c, 0x43644ea2, 0xf7cb5a0b, 0x8ebaeb4f,
+    0xe626ee4c, 0xcbf7989e, 0xd261155c, 0x73b52973, 0x4ccf9141, 0xeb56b898, 0xd9384ded, 0x810e7350,
+    0xe3cede0c, 0x7f12526b, 0x26996f9e, 0xad7d8ee1, 0x2aa4b9a9, 0xf731f8e9, 0x8e3d5abd, 0xe9116e78,
+    0x92da4793, 0xff42a31c, 0x0c3f9d7a, 0x7d70f27c, 0xfbe2db47, 0x8b10bde9, 0xba8b7db6, 0xde71a482,
+    0x2700dd44, 0x2bd5049d, 0xb549cac6, 0x6dd77de0, 0x4066f9c1, 0xdeccb919, 0xeaf9ffe8, 0xcdf32560,
+    0xab42f7c7, 0xf4c7e93d, 0x4b0ff5d7, 0x75a25228, 0xa1b37d4a, 0x639f9a13, 0x054c2ece, 0x440fb939,
+    0xac01461a, 0x88d0fccf, 0x5617a954, 0x89a3a6d6, 0x41a41256, 0xd42c20d8, 0x7b732bb2, 0x5d0d4e58,
+    0xd67ec044, 0x54b08d4c, 0xc66c8688, 0xf410e8d4, 0x4b5c16df, 0x9977e074, 0x2813a027, 0x4fab097f,
+    0x2c94e66e, 0x4a7bf523, 0x76208583, 0x408690c4, 0xdb87fee6, 0x7d406668, 0x7114faf1, 0x921dc775,
+    0x2e9b3e23, 0x9fbfaf6a, 0x63bf2633, 0x84d9ec98, 0xb081cfcb, 0xced31260, 0x7655b977, 0x125dd380,
+    0x9a029a3a, 0xa65ef212, 0x7720a010, 0xc187151b, 0x508af03b, 0xa7bf7289, 0x3b36c8a1, 0xcad719a2,
+    0xaeadc951, 0x01485b24, 0x2b5b1533, 0x509d579b, 0xcfc5e8dc, 0x64939b11, 0xdead1751, 0xd574a9dc,
+    0x40599339, 0xf81588ee, 0xfb1cd52b, 0x6a867a86, 0xa3004a07, 0x941cd5cf, 0x95663123, 0x63aa6e02,
+    0xdfd0e139, 0x6987c774, 0x4cfd676b, 0x221ac914, 0x255c304e, 0xeb7b19d9, 0x69440ce9, 0xbcf1e0c2,
+    0x54daa226, 0xc7ce102b, 0x94101fdc, 0x68cc7b25, 0xd0ecf4bd, 0xbfbc5dd9, 0x1727a457, 0x2fade793,
+    0xdcd67e72, 0x62398980, 0xadc9adb3, 0x0afe71ff, 0x14af0089, 0x611a1fbc, 0xd464ebe9, 0xbdb19ab9,
+    0xfd1c21bc, 0x7d5a322a, 0xb7ed2081, 0xe50f14d8, 0x4909cb2c, 0x6e0829e3, 0x5029fccb, 0x2be29c62,
+    0x3ce210eb, 0x27a87b80, 0x5f27dd18, 0xac740f1a, 0xed986f49, 0xfba19e6a, 0x01ce0664, 0xb7467c7b,
+    0x896b96f5, 0xe98a7714, 0x63f28a0e, 0xe7b8d2bf, 0x591d959a, 0x7e54c9db, 0xbf0e8813, 0xe90e760c,
+    0x60f9a975, 0x104c66f7, 0x58c38106, 0x1ca6d7d5, 0xc0c033c5, 0xca552ad0, 0x740f0e84, 0x5ee16bdc,
+    0x8a9f8c10, 0xc6468341, 0x47fcb880, 0x13039c6c, 0x973afa74, 0x530d3bb0, 0x626f9ba9, 0x19d90cac,
+    0xdfc93606, 0x20715d1c, 0x665d5349, 0x62262152, 0x2b6630a5, 0x2771145c, 0x6260b02f, 0xb7a1a8ec,
+    0x0b2484c8, 0xd05404bd, 0x4f51c961, 0xce659d96, 0x97bfffc4, 0x4c0d34e0, 0x16545f2c, 0xa3e523d1,
+    0x3af87b9a, 0x0b620279, 0x990853dd, 0x398513c3, 0x02a2adf5, 0x977bb3fd, 0x76949522, 0xce6a14a6,
+    0xe84b74f3, 0x1dc0cddc, 0xb215b92f, 0x521a12d6, 0x8e94f6b4, 0x8703ed08, 0x67c4a5ae, 0x6a569645,
+    0xc78b88ec, 0x6fb41fee, 0xb5b90861, 0x6d117eed, 0xa8a02b27, 0xa1ec2276, 0x2842afb7, 0xb42da5cb,
+    0x25a70190, 0xef2bf7ec, 0xdbffff88, 0xf180c04c, 0xaac1df3b, 0x889fed33, 0x00badf60, 0x6b8ceb6b,
+    0x4bab47af, 0x4cb4d6c9, 0x619a70e0, 0xff52ebb5, 0xe03f78c2, 0x758d991c, 0xe28bcc95, 0xe5702a9a,
+    0xac141b16, 0x22c3e175, 0xdd0322df, 0xd1a6c530, 0x0f7ad54c, 0x0f0b1575, 0x599af419, 0x5817dc18,
+    0x400aa084, 0x8e2170b9, 0xf64546d3, 0xdfdc1d73, 0x8f31a0bc, 0x55fa32c2, 0xcef14abf, 0x25228f54,
+    0x1e61da92, 0xee901afc, 0x57d68ae5, 0xd9717a93, 0x062d425b, 0xbf23e032, 0x64e850a4, 0xa09c613b,
+    0x7a06a441, 0x30278d14, 0x385e39db, 0xcfe65f20, 0xf7958250, 0x900b2194, 0x589519fa, 0x63354e8d,
+    0x3b01e91f, 0xea9c8f0d, 0x5500b83f, 0x0f90ba03, 0xb5206b2b, 0xae59b837, 0x8190e211, 0x26c4669c,
+    0x9e6e8564, 0xebbbd5a3, 0xb77ed56e, 0xd55ff3cc, 0x3b42bfe2, 0x2eb7a935, 0x5de549dd, 0xf619b49d,
+    0xcda7b421, 0x4c75d30a, 0xd66f73c2, 0x050832fb, 0x04c21505, 0x67fcc7ed, 0x4535e5f4, 0x247418d9,
+    0x3cfefe46, 0x67d93ec9, 0x0b9fbbbb, 0x46e56a38, 0xf4f86973, 0xaaab06d2, 0xebbe2f5a, 0x6998aa1c,
+    0x8f7c4168, 0x52a012da, 0xd4a7a890, 0x7d530755, 0x257ba770, 0xf9008081, 0xf0e0a0ff, 0xf2d696ee,
+    0xda3945ec, 0x544c1529, 0x53137cf7, 0xb5bcd8c4, 0x37019154, 0x77643d0d, 0xc86b98a7, 0x5f91debe,
+    0x73f8b4c3, 0x1248c40b, 0xbb066e90, 0x79b9d453, 0x6836016f, 0xc12f3120, 0xf5addfa6, 0x79840032,
+    0xda4bc54d, 0xa905b5f6, 0x796ad56f, 0x2b95cae5, 0xc6eae869, 0x3df00788, 0x3f922da5, 0xbc073289,
+    0x402641b3, 0xc602af3c, 0x55c2ca73, 0x0af14294, 0xb7e2a050, 0x6b92e6a2, 0x4bf34186, 0xaff903b2,
+    0x9856dc55, 0x26707b53, 0xe3e26c35, 0x56e6baf1, 0xf9e6c1bb, 0xa82ccfea, 0xdc4091e7, 0xf18aa5ef,
+    0xf02e328f, 0x1392a27e, 0xf34a0268, 0x57b43c5c, 0xd1f67e7e, 0x91677daf, 0x3341f6ca, 0xa5d506d8,
+    0x2a529fdf, 0xc9224da6, 0xce98bb2f, 0x7bf09bc3, 0x0589c44c, 0x4bd3ae4f, 0x91552f9c, 0xf80c4a98,
+    0xd036173c, 0xba5773e7, 0xea883106, 0xb79a3eaf, 0x8c1a83ab, 0x7ba3743d, 0xf7b7a47d, 0x81e26897,
+    0x00000000,
+    0x1435ee47, 0x63ad0bd6, 0x3e24beab, 0x9dd51f3a, 0x06650fde, 0x82e7859d, 0x91b6ac80, 0x37b3ad4e,
+    0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000423075820025759103329225797140973465490178997097\
+                         13998034217522897561970639123926132812109468141778230245837569601494931472384 */
+  { 0x00000000,
+    0xa4abdd6c, 0x163f444b, 0x3ed3b40a, 0x7777e83d, 0x2ee85805, 0x3e7cfb40, 0x1b44159b, 0xb6dfbc83,
+    0x8b6deab3, 0xd5badd2a, 0x67ee83f1, 0x2b334a55, 0x6102f007, 0x177af74c, 0x643fd001, 0x5a3c16df,
+    0x967ed56c, 0x25f661ca, 0xd6fb91eb, 0x3ad06f1f, 0xf089ef47, 0xf7d45d3f, 0x585fd3c1, 0x8467c9d6,
+    0x9ca09469, 0x91bb2493, 0xe4b861c5, 0x29a20118, 0x2b5544c3, 0xdcf1ea33, 0xbe847a92, 0xf3eb76b1,
+    0xd55f9612, 0x26d2b089, 0x0abd0c0b, 0x66fe1d0c, 0x0f26c110, 0xb346f696, 0x3be80e4b, 0x61cba545,
+    0x36ee128d, 0x49d6323a, 0x664ea5d5, 0xf5746b72, 0x5e99d92d, 0x247ce217, 0x48927056, 0x68651365,
+    0x43e26f41, 0xe2164e30, 0xf9dc2296, 0x88bb72f0, 0xd99230a0, 0xeea3a54e, 0x268ba22e, 0x54e7aa17,
+    0xb8004f14, 0xb093d259, 0x747897a5, 0x502a60de, 0xe0b3b20d, 0xd78017b7, 0x7513359c, 0x40ece563,
+    0x7aead77a, 0xbd87812e, 0xfaff042b, 0xbd9f9d5d, 0xf4afa5b3, 0x78cf4293, 0xc079eec6, 0xe973272c,
+    0x78c0e9a3, 0x2ddd9bb0, 0xffb7cee2, 0x29ba4d4a, 0x260df73a, 0x185c449e, 0x745d666f, 0xc5449a7f,
+    0xb2b711a5, 0x22fd52ec, 0x7af6de39, 0x448f61a2, 0x83ec34d2, 0x1cc017b2, 0x914645b8, 0x78d374a1,
+    0xfb99e991, 0x22c02b7f, 0xb89075a3, 0xb2b39d79, 0x88e63c3d, 0x1d3c08de, 0xcdbc6144, 0x680baaf4,
+    0x474e6f51, 0xf76cd8d1, 0x1c573c3b, 0xc5faea8b, 0x910174e1, 0x3d497833, 0xf2c297de, 0xe3f34879,
+    0x589a805f, 0x2f43adec, 0x4705db27, 0xb6618f13, 0xb2708494, 0xe6024d7f, 0x6df03de8, 0x58a48f6b,
+    0xbe6d719e, 0x501c0d7f, 0x2279a99e, 0x9b6da521, 0x738fd75a, 0x54527948, 0x0d118650, 0x3dcaddd3,
+    0x6ed10636, 0x32606155, 0xca8b89e8, 0x74530fbd, 0x7519ae2f, 0x1401ed5c, 0x2f79a885, 0xcccd658c,
+    0xd9497dc5, 0xe4059173, 0x20efc0f5, 0xcacd2b45, 0x078cb9f1, 0xda42a299, 0x2df6f6fc, 0x865bb8bb,
+    0xff55c4df, 0xf4afafd2, 0x5b9eb422, 0xcf3dff2a, 0xc443814e, 0x2f5fd5d1, 0x3043c46f, 0x7ecae870,
+    0x086d3d9d, 0x57f57ab1, 0x13b56ddd, 0xe5a2e8e4, 0x2f6d44aa, 0x44c5da7e, 0x56012eb1, 0x21af15b9,
+    0x70edb140, 0x0929e6d6, 0xac1f9239, 0xaca8e694, 0x3d6679c7, 0x33bb3413, 0xdeea1712, 0x9c962343,
+    0xc42efe49, 0x3b048767, 0x4a9d150f, 0x356fefd9, 0xdc980999, 0xb7c5ab6e, 0xd8711da7, 0x66e814ed,
+    0xfaf417b2, 0x3e7a90eb, 0xa2569ef8, 0xf4403319, 0xa1f4caca, 0xa7b4f027, 0x7b8bcc80, 0xa995eae2,
+    0xe15aa081, 0xd076f0bc, 0xd0760ad1, 0x0e882295, 0xa779ae1c, 0xe0dfcf51, 0x5949ebdd, 0x638f80bc,
+    0x4f4a1e5e, 0xcbb15671, 0x9686fc56, 0xedeabac8, 0x4160d811, 0x9f5c7a65, 0xee15b47c, 0x1515d991,
+    0x01ef6b89, 0x2f82d1a9, 0xda827eeb, 0xa00ea383, 0x11dde657, 0xeeb6ec53, 0x4a2a541b, 0x895ffaa5,
+    0x1c9fb5bc, 0xd46a05a0, 0xa8bfb8a9, 0x008a23fd, 0x50e57af6, 0x9c47281d, 0xe29a14d4, 0x67d31fbe,
+    0x4b388701, 0x74b01c34, 0xdd445954, 0xef3d3245, 0x30c2ffca, 0x78790c94, 0x94e2d4d9, 0x1b7a18b8,
+    0x3ddd8d0a, 0x44dc09ad, 0x958669d7, 0xe0352099, 0x71371954, 0x966e484e, 0x722def99, 0xdbcffa95,
+    0x0db2474f, 0x3fa76a2c, 0x71cccd84, 0xdbbb0081, 0x17a4c02e, 0x90ccb565, 0x68836167, 0xe5edbd8b,
+    0xfbd32c51, 0x8d22a2b0, 0x9f861375, 0xbda4325b, 0x78a2b463, 0x22893d88, 0x816b1235, 0xf3877c4b,
+    0xab34567e, 0x568b9f4d, 0x05c2afd9, 0x7367eb5c, 0x25484dd4, 0xdba0df96, 0xad3df8a3, 0x78de992c,
+    0xc0851834, 0xd5fd3e86, 0x59c765ba, 0x90dfd2c6, 0x5cb47915, 0x90c3b19b, 0xdefdbcfd, 0xc0bd55a7,
+    0x3df39eda, 0x60c70cc2, 0x586f0246, 0x600d2b18, 0x7ae5a404, 0x6f864c6e, 0x192c571b, 0x7ca4b045,
+    0xeda472cc, 0x03a63107, 0x37c110b4, 0x08f4b99a, 0x74b61fa5, 0xb61e3c84, 0x8bdc7474, 0x674c63e8,
+    0x0b7d147b, 0x092ed9bf, 0x3c635444, 0x0371ba0e, 0x17d32e70, 0x9102e81f, 0xf913b15b, 0x883e3f33,
+    0x185199d8, 0xf1d8ac67, 0xf53620e9, 0x4969b1a8, 0x3db37fcf, 0x58086dd0, 0x45567bcd, 0x4cf545bf,
+    0x258eaa4f, 0x00566475, 0x0e9e8af0, 0xde2813c2, 0x0af8e89c, 0x21d5f8b1, 0x6d280433, 0xfb1da5ec,
+    0x8e61ad0b, 0xdd0b524d, 0xab17f51a, 0xf0fde477, 0xb5f95ddd, 0xc59cc950, 0x807fd07a, 0xa453ac11,
+    0x3a68fea2, 0x562f7529, 0xc6dfb90f, 0x7d13409d, 0xd8d4597e, 0xd5ae1cfd, 0x968b7bbe, 0x4de31635,
+    0x5c22dc98, 0x0f4ed48c, 0x41cda861, 0x397778f6, 0x534d377c, 0x15b8e019, 0xff0e3868, 0x97e417fe,
+    0x30e16ea1, 0xb8ff84b5, 0x6efc9ef0, 0x7416e52c, 0xc8cc5ec9, 0x2f9ac6b0, 0xa8a9d589, 0x8fce1991,
+    0x4fc06dc7, 0x1a737df5, 0x10b12220, 0x1b253d54, 0x79caee90, 0xcfcd9b47, 0xc8e3d50e, 0xa7f7da19,
+    0x752a4430, 0x5d820425, 0xe17a2b59, 0xd09f34b1, 0x7bb970ba, 0x9ec7a746, 0x0811ca5d, 0xcf1c4937,
+    0xd9e530fb, 0x6a84d1c3, 0x38758117, 0x3d2b1e32, 0x745066f1, 0xa73f1973, 0x0796c37b, 0xf9dee525,
+    0xdb22ef11, 0x24c8bf62, 0xcbac9947, 0x7f2f7f94, 0xa29c341e, 0xd5d4a273, 0x533c3875, 0x1bc181f2,
+    0xa8d70959, 0x284459ab, 0x155b23a8, 0xc17454bf, 0xc38e5e00, 0xa4fec5fd, 0xbb84f4a1, 0xf41d41a9,
+    0x1b353d36, 0xa4ebf82b, 0xe9c72a6c, 0xf122c4c4, 0xf7e7efc8, 0xe95d8bc9, 0x40ccb677, 0x18043bbe,
+    0x3d16ea25, 0xc28b362d, 0x46e1b460, 0x80c1516f, 0xa0c348d6, 0x17ea1e28, 0x7dd77294, 0xd77629db,
+    0x9955fb12, 0x4d5a90dd, 0xf1700ff1, 0x54f8186a, 0x6f668dd4, 0x334b97be, 0x7e51a1e4, 0x85fd3996,
+    0xa0769060, 0x9fd80e9c, 0xb812fda1, 0x810e631f, 0xa72cebae, 0x8d6e23ef, 0x90c4e63c, 0xa283eb34,
+    0x2452e617, 0xcb25d47b, 0x1c499087, 0x143b8aea, 0x9bfba7b4, 0x8f4e6eba, 0xcab8bf4d, 0x642da27c,
+    0x7142af33, 0x79f514cc, 0x994fb63a, 0xe1472c19, 0xb6da608c, 0x87a55c07, 0x230e47cd, 0x395f447f,
+    0xb60087a0, 0xfd65bd37, 0x53f26be7, 0x09050664, 0xe8697a0b, 0x6ee52ce8, 0x2fcd76b4, 0xf742914a,
+    0x4e4cc58e, 0xf8494334, 0x211f006c, 0x3c42b9be, 0xf45772df, 0x3f38d1ef, 0x794990b5, 0x2f94d9b8,
+    0xfdc18f9e, 0x175748cd, 0xf004b6a0, 0x6bbb715f, 0x2263b1cb, 0x896f227b, 0x89d99500, 0xd36ace2d,
+    0x2b3dd650, 0x4fd47cc7, 0xd1a27bc6, 0x33532aa5, 0x7e949118, 0x89bbedf0, 0xc9d6fb02, 0x2bdb0094,
+    0xd20637e3, 0x2803fe60, 0x0dd51b5a, 0xa2428a54, 0x3c3fa2ca, 0x24b070df, 0x21476344, 0xb8e81905,
+    0x451c25cd, 0xbe863f28, 0x19da3f25, 0xe5f612d2, 0xc753685c, 0xe92c58ec, 0x20cd9312, 0x2c1bcc05,
+    0x5cd5e117, 0xf7a41e71, 0xcb8a4405, 0x49fabd93, 0xf0ce57a0, 0xeed7dcbb, 0xe3ae3db8, 0x6160cbc5,
+    0x0f68f1a8, 0x80bb9e9a, 0xc4126dbf, 0x6ee7ef0a, 0x94a766e3, 0xdda42836, 0xdb6f4797, 0x625d6c85,
+    0xc4d5e4e8, 0x00033a04, 0xa2faeabf, 0x4a22a2bd, 0xe81bbbb1, 0x8087c075, 0x410991c0, 0x708d67de,
+    0xc4e7a711, 0x3af66cda, 0xa0d9201c, 0xc9a536d7, 0x77d7e602, 0xf8e77117, 0x9b2fd94a, 0x806ad901,
+    0x3a458639, 0xd702d8cb, 0x9c66e07a, 0x84025aa5, 0xf0861e52, 0x8854d765, 0xebd6612c, 0xedb1702e,
+    0x7900daef, 0x076dbab0, 0x833b5e48, 0x239cbbdc, 0x7a7e1654, 0x903ca460, 0xb84d7d41, 0x95feee49,
+    0x4069a6c1, 0x2cf55523, 0xacd56ef8, 0x8ee727bc, 0xc59d25b8, 0x47c2af44, 0x23cc2fb5, 0x31d5f001,
+    0x39888cf4, 0xd8d450b2, 0xb5434ba7, 0xda5846a9, 0x912276ae, 0xe4803526, 0x821f58ee, 0xd0fdb6de,
+    0xc4b51985, 0xf53937ea, 0x6111fb4c, 0xb41ff332, 0xdbcd9ac4, 0x949c7c6b, 0x004f2418, 0xd5c71b58,
+    0xfb626e8c, 0x78ee33d5, 0xb5cc861e, 0xe002a870, 0x9100be8e, 0xd80e1b35, 0x8e7ce5c6, 0x4a514d40,
+    0x8a898f56, 0x5f4b0fc9, 0x90c323bf, 0xe74cbf01, 0xa36d72b3, 0x00b62965, 0x4728f45f, 0x892fd5d5,
+    0x770393ad, 0xcfa758f8, 0x889d41b0, 0x3d5f23e2, 0xda957b87, 0x3ccd07b3, 0x49fe9582, 0x3f4dfd3d,
+    0x881d7be4, 0xe2ddec18, 0xcc75354a, 0x88816438, 0xb8133e62, 0x2431a783, 0x48412300, 0x1a86d617,
+    0x123fca0d, 0x1a7bff24, 0x95022f17, 0xd6b7da75, 0x08ec3952, 0xd295311c, 0x8b5779e3, 0xc9fd9305,
+    0xd92143af, 0xf00a4515, 0xf9ee5bd6, 0x4cf11b6b, 0xd4eb5371, 0x41ba5929, 0x06f59351, 0xd438e70f,
+    0x9f38110e, 0xc05ccdd3, 0x357627d0, 0x83f2c41b, 0x892a6930, 0xa5a2a0af, 0xfe0f1c3f, 0x2b5bc7e4,
+    0xd4b96868, 0x7896f682, 0xbe981b06, 0x5d70f849, 0x042fabbb, 0xce4591db, 0xa4db0cb8, 0xc4428351,
+    0xa970b9e3, 0x846f3d9a, 0x94418995, 0x1c9d6c6e, 0xffa96c7d, 0xdce3710d, 0x31b05d5f, 0x8fc49717,
+    0xaefb49b6, 0xea8d55a9, 0x6e5d3737, 0x6f5933b1, 0x4422cc32, 0x54431ee3, 0x117a94a6, 0x74a1b96d,
+    0x48967f79, 0xcc3887eb, 0x0123312c, 0x7341285a, 0x53a6dc0b, 0x29e5c4bf, 0x4acf90a5, 0x902f747c,
+    0xa7fae0bc, 0xf39cbddc, 0x0fa0eee8, 0x217866dc, 0x300c76c6, 0xfc84516d, 0x59e42d97, 0x543ab801,
+    0x6ee37da8, 0xe6cb7572, 0x54c4a78a, 0x00b3ccb8, 0x9d22faf8, 0xab1569f9, 0x6b38d09b, 0x61d0d931,
+    0x0cb5828f, 0x3b136de2, 0x209f27e7, 0x106f61a0, 0x3ca06f58, 0x558ad681, 0x56839faa, 0x9def4c73,
+    0x7f097d2f, 0xb3381a2d, 0xa9e192ff, 0x5c2cc86f, 0xd8441a9c, 0x13cb6585, 0x3a3ac563, 0x4d7dd0a2,
+    0xd8ffbe7d, 0xcc1885e7, 0x153df633, 0x3ec5bee9, 0xdcd1bacb, 0x65d2a0fe, 0x52fc5903, 0xd9f40ba9,
+    0x0d6144ed, 0x91d80206, 0xccbf3eb6, 0x0b4a6e26, 0xebd99170, 0xb868e4db, 0xe7170ad3, 0x79441c7e,
+    0xe346a048, 0x65842b9d, 0x00797408, 0xff0e8ad7, 0x5b4a13e1, 0xd2657c1f, 0x987aaea1, 0x13147cc6,
+    0x3cede92b, 0x1acf7472, 0xedccce16, 0xcf0eb3f7, 0x821901b0, 0x24fd47f5, 0x3c37791f, 0x6cc3683b,
+    0x03888252, 0x81065f16, 0xe60502ed, 0x9f80ee9c, 0xe91f33aa, 0x852a34f8, 0x4f2b96cc, 0xd5b18387,
+    0x540d1df3, 0x43695d92, 0x8da051ec, 0x0b157e54, 0x104857af, 0x70d9ac9e, 0xa777a64b, 0x50cc4d3a,
+    0x15edde0f, 0x2fed0aa3, 0x13a4fac3, 0x89f154b3, 0xaa205a9a, 0x1285450b, 0x7006c432, 0x1168059f,
+    0xe47e0a3c, 0xbd3066f0, 0x4e65bbc5, 0x676a014f, 0x4da886b8, 0x471968c9, 0x652c0437, 0x9fec7953,
+    0xf5256943, 0xe4c84eb9, 0x85502cf2, 0x37ccebab, 0x41444ea6, 0x1504e34b, 0x4e281d08, 0x90eec2a2,
+    0xf1d5221f, 0x50ae71cd, 0xcf9b43f7, 0x97cda168, 0x7f43c6b2, 0x417272ba, 0x437e7cb1, 0xf1ceb87d,
+    0x9e0c46af, 0x982766c8, 0x7eada7ec, 0x0c0686ce, 0x2255bf2f, 0xbfb8d88d, 0xee77581b, 0x3ff3e4d4,
+    0xd2f52341, 0xa974c660, 0x41d718ec, 0xbd0d9767, 0xd7d02278, 0x47a2ed5d, 0x46b16d00, 0xef528d4e,
+    0xa2b36016, 0xfa194bd0, 0xada85daa, 0x16afd39b, 0x613cdeae, 0x34ca1909, 0x29639e85, 0x5a6cec69,
+    0x0e8fdec1, 0x2cc7b4bc, 0x297a08d2, 0xc3b2e927, 0x10f68055, 0xe559c14c, 0xdd849290, 0x290afcfc,
+    0x73e918aa, 0x660d457a, 0x6058475e, 0x41f5c7f4, 0x0132a440, 0x7a21f854, 0x40cc9ec3, 0x918e3cc0,
+    0x4a8223f3, 0x6a0d2ab2, 0x4d71cac6, 0x331f89cb, 0xa6999720, 0x789942a6, 0xc75027cf, 0xac1463fb,
+    0xcd82c483, 0x5644445e, 0x80d57033, 0xeda6d9bb, 0x33808304, 0xf8c00c7e, 0xf1e51277, 0xc1fb90ff,
+    0xd96ff68b, 0xa7306b58, 0xff320780, 0x3eeab39b, 0x381dd69c, 0x106e9cac, 0xcef98161, 0x3b12dd99,
+    0xce73f543, 0xe1b19310, 0x3b2649c4, 0xbe6370c9, 0x82ec3a04, 0xf718eb87, 0xfb917fb7, 0x011c1c01,
+    0xc5a4bc37, 0x50b7512f, 0xab93a9e0, 0xa507d688, 0x90bd7d73, 0x6a565d34, 0xa9e84c79, 0x185c2167,
+    0x70bc33ca, 0x239bf5c1, 0x953c832d, 0x524d8602, 0x9093e760, 0x2d133937, 0xfa2dfad3, 0x82f226d9,
+    0x2affb574, 0x121a8d3a, 0xf96df3df, 0xcfcfba4f, 0x2e37afe3, 0x426f374c, 0x18b1f036, 0x404ec892,
+    0xb5c1a1cb, 0x9aa53e6b, 0xa2794810, 0xc5f7e2ea, 0x7a8f30e4, 0xa8166ba5, 0xd0822752, 0x738708b7,
+    0x2569c0da, 0x8f636700, 0xddae9d6b, 0x50d7311f, 0x03d5e800, 0x015bef17, 0x4faccf81, 0xeeec84ca,
+    0x1e0263b6, 0x4da8c032, 0xb2655619, 0x31b580a4, 0xa710f62a, 0x900847f4, 0x1e404eff, 0xcdd4498b,
+    0x0eb70540, 0x39bbcf8b, 0x0b145407, 0xc87cfaca, 0xe0940f24, 0xb2fa00c7, 0x04ab9fdc, 0x7bdd957a,
+    0x785fae05, 0x0012e74c, 0xc895af61, 0xe81a9f32, 0x5f265bfc, 0xcce27dc8, 0xf62c567f, 0x5ab1e6f5,
+    0x112a79cf, 0xfec105a5, 0xbc0b6e46, 0x636feedc, 0xa3ee621a, 0x46454665, 0xd6825300, 0x044250fe,
+    0xaf55bbf7, 0xb5db7924, 0x0f98b647, 0x19b5e3db, 0x9e490c03, 0x0de0651e, 0x676c4cb7, 0xc0a49afd,
+    0x677cd56c, 0x8e486f24, 0xb2f91110, 0x0bb99de6, 0x2e73d6f6, 0xde11e8d7, 0xd11eb7a0, 0x914d306f,
+    0x588fcd98, 0xdf65f280, 0xca3e1dd8, 0xe4407137, 0xa01506dd, 0x68fad18f, 0x959eb3c0, 0xb0d4ac65,
+    0x57f5c831, 0x2f82b332, 0x66577255, 0x37acc110, 0xb11c8661, 0x89c576e8, 0x64708be5, 0x20cc6105,
+    0x212639f1, 0x2e9d818e, 0xbcaefe65, 0x9b8befb4, 0xc68d56cd, 0xf1b6733b, 0x22fc8bd3, 0x3aecc198,
+    0x85340075, 0xa4ba85c1, 0x424d33b9, 0x0f2c5a38, 0x03f7d544, 0x39b37a37, 0x0c471500, 0xdad5e7b6,
+    0x61362c2d, 0xfb7875a3, 0x4ec8169a, 0xbbee1104, 0xdb2c575d, 0xf0376532, 0x55f82e9f, 0x9ea96e1f,
+    0x29522648, 0x5687a2d3, 0xec715bb4, 0xa24c0517, 0x04aa8d0f, 0x3911418e, 0x72998aa2, 0x6546a221,
+    0xea2d3741, 0xf3affafb, 0x8d1aecc9, 0xbffac8c6, 0xf6ee7aea, 0xe0b52315, 0x3cfaac7c, 0x607f0538,
+    0x772a0fa4, 0xff5ea24f, 0x7be23764, 0xee8fca63, 0xae2adce1, 0xd25c66ca, 0x0b36f7ab, 0x21f6b72b,
+    0x5f8bdd3d, 0x88c03bd4, 0x189b4e63, 0xf1a639c7, 0xb6b61def, 0x292956f7, 0xa6558f03, 0xd2dc1ef3,
+    0xef8afbdf, 0x1603d2f9, 0xcb33288c, 0xa476908e, 0xf6ae56e3, 0x7d2c7b5e, 0xcbd3688f, 0x3fe5b6c2,
+    0x01e59e5f, 0x27d69bb2, 0xc37f92bc, 0xa374de86, 0x623bc18e, 0x0a45e177, 0x8667c37f, 0x147696ec,
+    0xb852def8, 0x345e6031, 0x3a191b1d, 0xac240a7f, 0xa40d3906, 0x1a8f9478, 0x8af011f4, 0x07484b88,
+    0xbd9d8ea1, 0x06547318, 0xa3aa23be, 0x795ee408, 0x2884289e, 0x2d814bb5, 0x7ee7f4b8, 0x406149c1,
+    0xe2e5fdfb, 0xbf5eb019, 0x25f197a6, 0xbc50878a, 0x20ab8dcf, 0xcef2d073, 0xd59596c9, 0x80f052b0,
+    0x00000000,
+    0x0a1af723, 0xb1d685eb, 0x1f125f55, 0x4eea8f9d, 0x833287ef, 0x4173c2ce, 0x48db5640, 0x1bd9d6a7,
+    0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000211537910012879551664612898570486732745089498548\
+                         56999017108761448780985319561963066406054734070889115122918784800747465736192 */
+  { 0x00000000,
+    0x60086210, 0xe9b153e3, 0x634f29f2, 0xcbff104d, 0x4bfe0407, 0xcef17553, 0xf080009a, 0x1fb85840,
+    0x278065fe, 0x3c5dcbcc, 0xc6a14654, 0x54998f8c, 0xee9ea4f7, 0x331a413a, 0x5a8443a1, 0xd8f2cccc,
+    0x4d3e298f, 0xb266367c, 0x5a6b949c, 0x9e504054, 0x75c9af0e, 0xad7972ec, 0xfc713ff5, 0x70d61cd0,
+    0x254bcabb, 0x1a4d6273, 0x0976d5e0, 0x8acab949, 0x7f0ec666, 0xb58b3b26, 0xa1e6540e, 0x37227b06,
+    0x8cacece0, 0xf597e304, 0x00730555, 0xecdfbc7f, 0x255adf4c, 0xb589308b, 0xd9146ea1, 0x00b26f76,
+    0x2c4aaefe, 0x519c329d, 0xce977961, 0x9f271f1b, 0x22810e6b, 0x11479453, 0xa4937a98, 0xdbcd8d33,
+    0x6979eec4, 0x13d745d4, 0xe5d993f7, 0x5ee7510c, 0x7edf784c, 0x8e907751, 0xc1e79634, 0x4eb940ce,
+    0x6dd170b6, 0x1f57e3d7, 0x81dff8df, 0x125525fc, 0x3c261731, 0xe67fcef8, 0x4d4a21c6, 0x9a7ea811,
+    0x4fee7e3d, 0x5c3bfadf, 0x059f2758, 0xe1b038f6, 0xb32dc92d, 0x9220c90f, 0x42152e90, 0x4ca7c214,
+    0x345730f4, 0x55a8af5f, 0x67739314, 0x7fb72432, 0x4e5553f4, 0xc9ba74a4, 0x0ff22935, 0x1d3d1d1d,
+    0x66dae704, 0x82caa9c6, 0x85ff1d81, 0xd8559987, 0x88010b95, 0xeffa16ab, 0x6ed038b2, 0xed279b6d,
+    0x583f8df5, 0xdebd45d0, 0x20d56c56, 0xf1e748fd, 0x35384090, 0xd60c579d, 0x18fa0404, 0x27729c17,
+    0xea97dba4, 0x3ffda285, 0x3a335d0b, 0x6142e70e, 0x73c8105d, 0x00edf371, 0x8923e12f, 0xa5907d81,
+    0x612cc6f2, 0x36a0e6d4, 0xb29bc16d, 0x61c0f76b, 0x2c251766, 0x7259137f, 0x3022700a, 0xff772ee1,
+    0xa6f77e95, 0x53232441, 0xc36b71c5, 0x16102a63, 0x9be61feb, 0x4a2b3aab, 0xba2fc594, 0x80339ef6,
+    0x11d42eba, 0x198ce0b9, 0xedeca8f1, 0xd7573093, 0x730f396d, 0xf46d1c60, 0x5f8dc293, 0x26337b28,
+    0x0c26cefa, 0x24b108b7, 0x7f549bc6, 0x93d30301, 0x68da1f0a, 0xf03230da, 0x1e57e20c, 0xad45a34c,
+    0xc23cd2cc, 0xca1ce759, 0xfa346c9b, 0x1b90210e, 0x6005bf3a, 0xb7caf4cf, 0x3dd88e08, 0x45a51590,
+    0x4ee4e1d8, 0x5ceb16a1, 0xc1d5ef56, 0xa46532bb, 0xb7c61e78, 0x9879c0ab, 0xfe0534c9, 0x0907dd1e,
+    0x0951bd25, 0x3a613f62, 0xaee713ad, 0x604ce84e, 0xa478b13c, 0xb24a9eef, 0xd3775cf4, 0x54338a64,
+    0x0affa273, 0x59842482, 0x7cb59ab9, 0xf834734b, 0x8d405d61, 0xb206d60e, 0x8c4a05cc, 0xea1bbcd1,
+    0xb8d90446, 0x91720584, 0xf4385ffb, 0x42ef53e5, 0xa5977ffe, 0x64b3e421, 0x08272820, 0x8e236533,
+    0x7cd84ae5, 0x6f71dd4d, 0x8241bbcb, 0xf5fcdf3a, 0xd72228c7, 0xe5aa2b07, 0x6a6a02ca, 0xeb27ba1d,
+    0xcd51f415, 0xc569ef6a, 0x960d0ee8, 0xde36e9dc, 0x6c82afd3, 0x0095fa8f, 0x4e182488, 0xd6c19e8f,
+    0x6e537ee6, 0x2d5f6ecb, 0xe4a3d143, 0x7caa766b, 0xce2c4f10, 0xa76b3497, 0x8d900dc9, 0x1b9cd623,
+    0xeeeb891d, 0x50700220, 0xe63288a7, 0x20463642, 0xfcf27c97, 0x3cd6905b, 0xa31abc98, 0xce655ef6,
+    0x0cdf0b31, 0x4869f1c0, 0x13bd90e6, 0x08988e3c, 0xe9f9f96d, 0x1c9a3c1a, 0xd2c6dd46, 0x0eeab84c,
+    0x0db521a9, 0x55b7579c, 0x8444aea5, 0x257e7dea, 0xab8e268f, 0x3d3c10b8, 0x67fe6711, 0x26ad964e,
+    0x10c99b67, 0x6c3176fe, 0x8b1474ba, 0x29ea9555, 0x8fa5e0a4, 0x4fbedcab, 0x03e62baa, 0xf1fc9c37,
+    0x7adde82a, 0x3c5cefc3, 0x53087425, 0x79952a11, 0x85ec09c1, 0x6553ebf3, 0x7a6963c7, 0x1fa64eeb,
+    0xff77bfe2, 0xc52e0de8, 0xd4928962, 0x3f7a5e5d, 0x27b3f7ec, 0x451f19b2, 0x8fa93228, 0xe32cc33b,
+    0xd1f86e38, 0x86b88133, 0x83204265, 0x06fba994, 0xc6dc4e8d, 0x7f61e847, 0x237c8919, 0x17a56d50,
+    0x0b5abfac, 0x175c42ca, 0x953a1c40, 0x41e81533, 0x435c22a7, 0xb97e9ef1, 0xb312e39b, 0x52e02636,
+    0x77b30cdd, 0x3d8e1d2a, 0x4c1cdb31, 0x67fca35c, 0x2e70622f, 0xdc85bedb, 0xf4f435d0, 0xb1919ca6,
+    0x05da40f8, 0x8de0ce51, 0x4e0bcc56, 0x1d6ad573, 0xb6c2a07c, 0xf4463d06, 0xf70fd2be, 0x88e1a122,
+    0x97126f81, 0x347a4392, 0x7598f983, 0x2dafb140, 0x07eb06cd, 0x480a4411, 0x1ac673a1, 0xe604ec90,
+    0x1ebec1c8, 0x533f24e5, 0xb3dbd00e, 0x4dd0dac7, 0x59bdca50, 0x3be006a5, 0x0b45052e, 0x87a2f587,
+    0x7862b1c9, 0x1961f1d7, 0xcf147707, 0x11bd1680, 0x52a75e52, 0x886f7168, 0x63e59b69, 0xd7c8f108,
+    0xc2f6952e, 0x76307dcb, 0x3a7ef5db, 0x81aed05a, 0x109fcf30, 0x7e1bb15a, 0x8ff32def, 0x290a0994,
+    0xea54aa5e, 0x88f1fd8d, 0x33857684, 0x4202c338, 0xd0722b57, 0xd75ac32f, 0x3ffd0cad, 0x8ab3302d,
+    0x5ca6f243, 0xe8266bc4, 0x52836a9c, 0x8f097b3c, 0x0824f0c4, 0xf7466ac1, 0x6a46aaf8, 0x93ec69d3,
+    0x21ea3eda, 0xef771bd0, 0x8e11f962, 0x9d2dedc3, 0x6a65fa98, 0x9dc00595, 0x2c4d34be, 0x62fa4e8f,
+    0xd1fe61d2, 0x8ea02507, 0xa364e5ca, 0xb9c71603, 0xb240efcc, 0x70733fd3, 0x2ad42b7a, 0x9bf41593,
+    0xd06bb625, 0xea61f2ae, 0xfc3f9f5e, 0x088081b4, 0xb3eb6fee, 0xfde6d04b, 0x6247dcdb, 0x1b1dcd86,
+    0xe58e7dc1, 0x8777bd23, 0x63b27294, 0x46f965a1, 0x6d317f41, 0xd7891806, 0xe8bb78e2, 0xcb88a4c5,
+    0x02b07c4f, 0xd849d35e, 0xa195f06c, 0x9bea38f9, 0x1ad19892, 0x119b0f49, 0x2c5280b3, 0x12c624fe,
+    0x5bd30a91, 0xf5f81cec, 0x0b45d58d, 0x1e55ea75, 0xe1bc2f01, 0xcdab6868, 0x94fd18c7, 0xf9be5842,
+    0x624dbb9b, 0xdac7f030, 0x2c84e17b, 0x4f38cf2a, 0xd203d107, 0xedabdc86, 0x47c50f15, 0x25e5c348,
+    0xb8ec0389, 0x5d546950, 0x35d58e3d, 0x8bbc1a89, 0xb16a517c, 0xfdd156c6, 0x341787df, 0xcb8832ae,
+    0xcb039f0d, 0xa049ec20, 0x04ce8ecc, 0xab754796, 0xa344c6b4, 0xa5dc4a4e, 0x8e1bd075, 0x471691b3,
+    0xae93e0e0, 0x2f8bf14d, 0x8cf501f9, 0x866303b3, 0x7991ce19, 0x5a5177e3, 0xc668bda5, 0x0996dc69,
+    0x0f2e9961, 0x12079f01, 0xbaf18678, 0x9a8652e0, 0x541741a1, 0x4e2ef00f, 0x9cc7a8da, 0xa9fd4d6a,
+    0x0284f89f, 0x7d3b1b6f, 0xb2809f76, 0x02951a1c, 0x3a228af5, 0xeeb2cf32, 0x2749eefd, 0x52077a2e,
+    0x0ca5ff25, 0x99081a67, 0x261925d0, 0x64049882, 0xc20b5863, 0x87f53f39, 0x2eef70a1, 0x43f06f36,
+    0x09b4e52a, 0x670821b8, 0x26ceb074, 0xefb4cf00, 0x89935d0d, 0x91a08eed, 0x7b124e6a, 0x6eb34fa5,
+    0xa8d798ca, 0xfbbfac3b, 0xafb0e687, 0xdb86a371, 0x9c827f5e, 0x228b8566, 0x3891ed41, 0x47bb4a8b,
+    0x3fc02bba, 0x9a5e9b68, 0x95c75bee, 0xe56e8868, 0xe2c2f362, 0xccaab319, 0x4b20fe2d, 0x37af3eb9,
+    0x07147dc8, 0xf93fd183, 0x4f27f266, 0xb0051684, 0x01345de3, 0xf239800e, 0x0a87becc, 0xc5d7a32d,
+    0x0f3a5ab1, 0xbc5f676e, 0x5abc9320, 0xf581d989, 0xebd0a890, 0x40d16c32, 0xe757e435, 0x89b902f1,
+    0xb86fc7f7, 0x26f8ee4b, 0xbe8b8169, 0xc9dc135d, 0xebaf0bb1, 0xa398f798, 0x99f0f1b4, 0x672f2c4f,
+    0xfca95aa6, 0x51923aa7, 0xa284add9, 0x17b5f570, 0xcde571f8, 0x32baf9fa, 0xa3c7bc8f, 0xc95f0dea,
+    0x53da25b8, 0x6d09a36f, 0xd3e74df6, 0xc81dcc7d, 0x35a61f0c, 0x4236261f, 0x2deee641, 0x875f743e,
+    0x99a93a08, 0x5fbb6ba9, 0x911e045e, 0x37be16ec, 0x75c4ca72, 0x86ca4f79, 0xc7a5413b, 0xfb3b2cf3,
+    0xffc3e536, 0x383d5fef, 0xcb370cb6, 0x3858c2e7, 0x34ddaf1f, 0x76acc66c, 0x19f07036, 0xb83d9af6,
+    0xce530e31, 0x66b292ac, 0xba932bf9, 0x8844c24b, 0x650067cb, 0x776190cf, 0x31fe1993, 0x5759c71c,
+    0xb60c3ec1, 0xff1e0bb5, 0x6af35acf, 0x48da4689, 0x13b8beb2, 0x0f03d1ad, 0xdf30644b, 0xaa887afd,
+    0x51d2ec94, 0xd952d61a, 0x2ad6b64b, 0xf77541c2, 0x50a510e8, 0xd54ec316, 0x578ab68a, 0x27a46ea7,
+    0xcf8a7120, 0x3fb892bd, 0xe01f45fd, 0x2960c3d7, 0x3a8a9d7e, 0x7d15529d, 0xc62dba78, 0x1de2e2d0,
+    0xf995a737, 0xa9d18ea4, 0xdd11b8b3, 0x94cbc60c, 0xd7aeeeb2, 0x8f6d456f, 0xa250fff2, 0xa1c8069a,
+    0x0f482e0c, 0x8cf72c70, 0xc441ea49, 0x7100a4bb, 0xbcc7ed52, 0xa378b972, 0xa97b8b19, 0xab64c807,
+    0xd5c311a0, 0xcc57355c, 0x0d89feb0, 0xd7a9c640, 0xff7914ff, 0xf9eff0d6, 0x002b9985, 0x73b6825c,
+    0xa97938bc, 0x29ec1e93, 0x1a3b81d5, 0x0861d7dd, 0xadf122a4, 0x32a9e84f, 0xb48dd9b7, 0xb5645255,
+    0x026ad736, 0x24695060, 0x5ba59fad, 0x95ebbf69, 0x92f2730b, 0x0bed94eb, 0xada50f9d, 0xd22778db,
+    0xce941bde, 0x71120749, 0xe686ac93, 0xcbe85ebf, 0x3288fce1, 0x2fb385e2, 0xd717a86e, 0xdee4e99e,
+    0x65128d2a, 0x545b7780, 0x68f44fe3, 0x1e9930f8, 0x67c5a65d, 0x23b33685, 0xb75ec575, 0x46b461ec,
+    0xf61fb91b, 0xebee9da0, 0xef49ab57, 0x598ba527, 0x6116957a, 0xdea79cc9, 0x312d4329, 0x6bc8f3f7,
+    0x803453ad, 0x2139fc2b, 0x13d4f429, 0x44809cd1, 0xe825df22, 0xf971f080, 0x50db3cd6, 0x93b77b6c,
+    0x23353c14, 0x950ec5d7, 0xeed08e7a, 0x5c3147f9, 0xc5691518, 0x4650cb86, 0x1e984c46, 0x8574ed96,
+    0x9ad3c857, 0x6911ddd6, 0xbe24baea, 0x23e856fc, 0x503a9040, 0x0df20cf0, 0xbfb2e2ad, 0x6c2fc63b,
+    0x8660a606, 0x4f6b63d2, 0xc65d4456, 0x0c2d39fb, 0xe0a2a595, 0x1b80debe, 0xfed07ff0, 0xab7dd8cf,
+    0xdf61dfeb, 0x754e82ff, 0xa2009795, 0x4e6a916c, 0x05258a36, 0x756bb795, 0x0efcbd4b, 0xffa1dc04,
+    0x01a1a9e7, 0x4063fb71, 0x648bddb4, 0xc584bfcb, 0x75bd1d78, 0x7c038bae, 0xe7885178, 0x1dd8d29f,
+    0xe74cd1ad, 0xb06c52f6, 0x8a09987b, 0x0213609d, 0xe2a720e0, 0xaf47ca9b, 0xd3d28791, 0x4f3724be,
+    0x3d3f0f41, 0x560ed9b9, 0x16ee542b, 0xc6056bc7, 0x4fbca78d, 0xecc19074, 0xf97dc5dc, 0x80bc7023,
+    0x30f3f2f6, 0xb1b9d999, 0xce1f54a8, 0x38ae4b6d, 0x8f647a4b, 0xec329bdc, 0x5bae5aa7, 0x406bcb86,
+    0x5ddc4c13, 0x0e968091, 0x9824f9d8, 0xa9d1bc04, 0xd6c08c1c, 0x22b25e94, 0xad534937, 0x6836854b,
+    0xfcecef04, 0x4179f901, 0x4a5ca2aa, 0x20ff952d, 0x4f34725c, 0xe2034799, 0x9780bd0f, 0xe06c27b2,
+    0x5cd2e017, 0xe6a8aeff, 0x1eadbfd0, 0x8832d20a, 0xc5208f8b, 0x04fc6fc8, 0x60156698, 0xb847c9b1,
+    0xefe5e77d, 0x3a9c3c65, 0x44fef382, 0x78e285ee, 0xbc84c7b5, 0xe237d0a6, 0xee6d1105, 0x1efc6691,
+    0x6e4e692c, 0x1332f9cb, 0x13355006, 0xb94b8cb3, 0x97e3be57, 0xd0cc4c69, 0xb6308de7, 0x14dcd22c,
+    0xebec350c, 0x37f5deba, 0x11ba171d, 0xedbc42d1, 0xa51bed13, 0x98eacfc2, 0x46acf300, 0xdab75887,
+    0x5ade019a, 0x7f980515, 0x30537c20, 0x50e72d97, 0xf1217de2, 0xd84b9974, 0x48b412e1, 0xa5778224,
+    0xc1ea2492, 0x6ce07a1d, 0x55ee1bf8, 0xac6981f7, 0x58d960e2, 0xb0d90fb4, 0x23576295, 0x393c50d0,
+    0x5ac98b13, 0x94b10b47, 0xe936d8c5, 0x9dea70da, 0x98d9bbe0, 0x95e1e6bf, 0x9adcd572, 0x834182c7,
+    0x7e8276ed, 0x3b8152ab, 0x85c89761, 0xab827356, 0xfccdb2ea, 0x07e6c6b2, 0x4bcf1c65, 0x1d047007,
+    0x75642cf2, 0xbe933c9f, 0x057be172, 0xb9a412bd, 0x93054480, 0xe784e857, 0x5f46c6a4, 0x9b210d32,
+    0x9f98b76f, 0x666b851c, 0xc962e94e, 0x0ab8fefc, 0xaa9498b2, 0x0416879e, 0x3352e696, 0x9cd4b43d,
+    0xe8a908e9, 0x104824dd, 0x49fe13ef, 0xae1b3c77, 0xcedaa312, 0x13529060, 0x7e75f863, 0xba6103eb,
+    0x0feff8d5, 0x4bc2451d, 0x9fca251e, 0x7ab9fcf0, 0x32e57dab, 0xf6248065, 0xb3c25d1f, 0x152915db,
+    0x3be2cea1, 0x92364251, 0x937cf6cb, 0xc4710512, 0x94c59e9d, 0x0d4ed0ea, 0x71e8725d, 0x8041873d,
+    0xb89ac188, 0xb047f83e, 0x2e4503e5, 0x7679e85c, 0xc45b51e3, 0x01545386, 0x810c14f8, 0xd88fe317,
+    0xa5e72df3, 0x0565b113, 0x378d4d63, 0xa9a6d19a, 0x771d7a98, 0xc606395b, 0x22ba9ad9, 0x483d6792,
+    0x0b46547e, 0xde63865c, 0xc91446ff, 0x77074046, 0xf7e20b77, 0x39fc0ddf, 0x34688680, 0x1b8f555c,
+    0xf9502b6b, 0x89e051c0, 0x4e1ee1dc, 0xa0af3cee, 0x005ec1db, 0x85371869, 0xa4dbed8f, 0x4b4d17fc,
+    0xfd2db628, 0x125d3025, 0x62aebc2b, 0xffba2aa9, 0x761f8622, 0x1269caaf, 0xf5428b24, 0x5c73758e,
+    0x97f1eb9f, 0x9e2af9d1, 0xff35b61a, 0x25187c48, 0x758f2994, 0x7fa2e61f, 0x4294df06, 0xd06610d4,
+    0x62beff82, 0x0445eb80, 0xa4bafa40, 0x139a8b39, 0x0ce222e2, 0xce524b88, 0x4c78d1c2, 0x460d539f,
+    0x1a9ada45, 0xeb1d146b, 0x315ebe6f, 0x972b5c6b, 0x614458d5, 0xf21c79a9, 0xeab9456c, 0x8f641485,
+    0xd9696886, 0xe8307b39, 0x411fafab, 0xdd2b6b64, 0x0dd24079, 0x0a58917a, 0x6a7d821d, 0xc65acf53,
+    0xf698dc42, 0x1847f809, 0x925cac33, 0x26f6f646, 0x8dce94d3, 0xfa9a3b10, 0x355ab79a, 0x0b02c709,
+    0x85b6b4cf, 0x1f6d202e, 0xcbe76abd, 0xba64c349, 0xe7646034, 0x397772a0, 0x7bff552b, 0x73fe03da,
+    0x801cd15d, 0x306e81af, 0xf6a28baa, 0x83168507, 0x8a4eb5f0, 0xe1b238a6, 0x6187135d, 0xa0e6b8ea,
+    0x0e4a2b1a, 0xe109af27, 0x2a5bc11f, 0x0df657d6, 0x20a2fad0, 0xac1b1629, 0x7c2e2a24, 0x9884502d,
+    0x3a1d1bc8, 0x39121bd0, 0xc05c5dc1, 0x3fbcc47e, 0xd85771c4, 0x5654e675, 0xf4cd6a48, 0x5a8c5d4c,
+    0xbf3a9769, 0xd6ea49d5, 0x9173a828, 0xa86773a3, 0xffa0c336, 0x82dbc0d7, 0xad1f3200, 0xafff9cdb,
+    0x090f37b1, 0xf1f14649, 0x6fe8fcea, 0x76d4c0e4, 0x4abddfe5, 0xc07d5bcb, 0x26785a40, 0x06b58aeb,
+    0x28e0ab70, 0x4a0d36b3, 0xad01f5e3, 0xd524a4f6, 0x35627d98, 0xaf80277b, 0x81f99105, 0x78e3fcb1,
+    0x428ad4c0, 0xeeda9490, 0xe15094a2, 0x1c294a27, 0x6067eb68, 0x061bd20b, 0x599ef460, 0x0f71311a,
+    0x43078b92, 0x99941e37, 0xa64bc4ba, 0x96bc9151, 0xe28ad470, 0x4393afe6, 0xd990faff, 0xb1383fea,
+    0x193ec3c1, 0x276c240f, 0xb710c1cc, 0x4865086d, 0x5f883aca, 0x0e42809a, 0x9456d989, 0x8bb4ed38,
+    0x4362eaf8, 0x927a8b6a, 0x4e54b73e, 0x323342dc, 0x72c51121, 0x88178102, 0x6831654d, 0x7cc17c27,
+    0x0a3cc241, 0xe1b610f4, 0xcb667630, 0x1797ae18, 0x050339ed, 0x189d4162, 0x3002aa71, 0x18d61a93,
+    0x0b603e61, 0x612f0008, 0x90aca5b8, 0xa67a88a8, 0x7b6772f9, 0x2472f33b, 0x85cd4593, 0xa1d4b1d6,
+    0x5a671f06, 0x9a4ff1b0, 0x072cbf87, 0xd14a3e1c, 0x01c5387f, 0x1d1f0665, 0xf49ae1f5, 0x9c80c129,
+    0xdff8c8a0, 0xf56a8fdb, 0x5bf07a4b, 0xeb543834, 0x6e46a198, 0x550f6998, 0x0f623fda, 0x660c9a5a,
+    0x82626163, 0x97d5592e, 0x7d779b7d, 0xbc448383, 0x38e39d65, 0x6c464671, 0x55fda5ef, 0x8077f126,
+    0x00000000,
+    0x850d7b91, 0xd8eb42f5, 0x8f892faa, 0xa77547ce, 0x419943f7, 0x20b9e167, 0xa46dab20, 0x8deceb53,
+    0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000105768955006439775832306449285243366372544749274\
+                         28499508554380724390492659780981533203027367035444557561459392400373732868096 */
+  { 0x00000000,
+    0x0ea568e4, 0xed3523b1, 0xd728be5b, 0xf39307eb, 0x65d64b2c, 0x3c5aceec, 0x9c0745f7, 0x5edb0c6f,
+    0x1a75c5a7, 0x510e1066, 0x0cbe3da2, 0x92cadf57, 0xf2a6be7d, 0x391100c2, 0x5e46f43b, 0x4a86adc9,
+    0x4a8139d7, 0xde07a1d6, 0x1e4dec54, 0x06bf9746, 0x05e80500, 0x670d21dc, 0x12c712f5, 0xe730fbf2,
+    0xeb084e48, 0xccdc3082, 0x4aa41053, 0xc4ffceb3, 0x5a1a6bab, 0xd72e2d40, 0xc7a65dd0, 0x5266d3b6,
+    0xdb140cac, 0x75e4b3b1, 0x9c129467, 0x0e7d7073, 0xff68ee28, 0x4db043a3, 0x30f7aa74, 0xd897665a,
+    0x19703db4, 0xd835df93, 0x0fad574d, 0x776be7bd, 0x93ef6438, 0x03cc6c30, 0xd2aca57c, 0xcfdb1dd7,
+    0xc20c9f75, 0x2054f395, 0x99919fc2, 0xf8238df7, 0xade8d8ac, 0x497416af, 0x0ec34176, 0x9b3bd112,
+    0xb540945f, 0x6c15731a, 0x19ddbdbf, 0x79e1d9cf, 0xb95608e2, 0xdb06f1e7, 0x547afd32, 0x67541cbb,
+    0xa2999e86, 0xa79a0285, 0x310eabbf, 0x5cef84b3, 0x13e88e69, 0x8100ed90, 0xb34e8fd8, 0x2100d35c,
+    0xeb784125, 0xe60390b8, 0xb5cf9021, 0xd64d4cca, 0xe2210a80, 0x0fb3c450, 0x7f34a502, 0x436958ee,
+    0x5760d301, 0x8484d044, 0x5cdb427d, 0x2c427cf7, 0x774821dc, 0xf1427972, 0x8761a86c, 0x7fd3c568,
+    0x02b00311, 0xba59684a, 0x58058077, 0xb018faab, 0x830fe652, 0x5678312a, 0xdac8afd1, 0x953e590e,
+    0xd3326303, 0x69308d3b, 0x9a2731bb, 0xde0558e1, 0xa4abf3dd, 0xb3084684, 0x7a109000, 0x2e9138cb,
+    0xc174a6f7, 0xa1b5e8a8, 0xddcbef0d, 0x8b77d2ef, 0xe5b5844c, 0x58ef915b, 0x29b029a9, 0x23697362,
+    0x81622dff, 0xdfa1b2c3, 0xb1dacf69, 0xbc7d4a60, 0x19c0b75d, 0xb325c9a2, 0x35e7778b, 0x1cf24ba4,
+    0x6c4072e9, 0x4c28c5e0, 0xa711d30a, 0xe212806c, 0xab74d990, 0x6a84184c, 0x97b981b9, 0x9df24295,
+    0x9405a87b, 0xc4f3080d, 0xf4c8d3b0, 0x85f0bc81, 0x50e71ed6, 0x86027ade, 0xd60f7a93, 0x0f302fd6,
+    0x9f8bd1b5, 0xbb649977, 0x608a6dde, 0xe0534639, 0x430db664, 0xd21353f9, 0x0ce9c146, 0xb89a83c4,
+    0x41163a5b, 0xb51447b1, 0x1109fc39, 0x71c2bd4c, 0xdda60ed5, 0xf5532c42, 0xd85ea17b, 0x099d487e,
+    0x9735e63a, 0x2b122e54, 0x614dacf3, 0xd3bb8832, 0x51e5b059, 0x16cbeb70, 0xa76df8de, 0x8fc000e0,
+    0x8be00644, 0x68313eff, 0x136c7fc9, 0xad11dbd6, 0x3cbffac3, 0x782c90e0, 0x9973f22c, 0x5dc9f698,
+    0xf05ab154, 0x3f41b587, 0x93f8525b, 0x36fa5e37, 0x9bc00b76, 0x5ca7542a, 0x3e4d6106, 0x74eb6a73,
+    0xb11fa437, 0x45782f2f, 0x9c6b62f3, 0x1c0fad7f, 0x17d58b89, 0x49c782ce, 0xaf5e5b45, 0xf51bd721,
+    0x3cb21af6, 0xa75c1497, 0xedf92363, 0x7bb52109, 0x7154324c, 0x10a03e9a, 0x5a641cd5, 0xab4eeb7b,
+    0xe9a04ea1, 0x2aed0f75, 0x1e8873ef, 0x1c65d299, 0x52c4cac3, 0xc90db395, 0x60a8550f, 0xa2b0d625,
+    0x2afd5982, 0x2f4abe06, 0x604f1817, 0xdf06f560, 0xa8f9f623, 0x1d01fe57, 0x1e45fc69, 0xfe2d116a,
+    0x0c07ac88, 0xe54aee67, 0xc865fe6b, 0x0171af15, 0xfa2a7da5, 0x523ab8ac, 0xcbad321e, 0xf3a40633,
+    0xa9d0272c, 0xba3c840d, 0xf7472d38, 0x723f9da6, 0x022e1934, 0xced41124, 0x0c682944, 0x28b5700a,
+    0x371009b0, 0x0549413a, 0x28eff127, 0x9c64ec2a, 0x4437a913, 0x178496c6, 0x9f2560fd, 0x6126c6b8,
+    0xca429729, 0xba1b3485, 0xced8e0ef, 0x1ef879cc, 0xdefb5190, 0x79f240f8, 0x53a60aa1, 0xb380cc2b,
+    0x264275fb, 0x30d99473, 0x477dfacb, 0xce6b0520, 0x627b8b3c, 0x303798b5, 0x6d904afa, 0x81ce26c6,
+    0x92b8547d, 0xbcd11703, 0x643d28d4, 0x91939070, 0x0685ef46, 0xec900b7b, 0xdf5df4d5, 0x8d91d007,
+    0xd726282c, 0x3296de53, 0x46240a54, 0x0eed720d, 0x36da1a93, 0x0f0645fa, 0x60fc080e, 0xd2a8b424,
+    0x57ae5248, 0x8bc7f754, 0x7c635608, 0x42f253df, 0xcdca83ad, 0xccb17c02, 0xc5a8c76c, 0xd5ec6658,
+    0x70a97b07, 0x86af9224, 0x38c492e1, 0x89f91be0, 0x0a50d174, 0xb3adfe54, 0x7bc66fa5, 0xdb595b2d,
+    0xcf3f5e6f, 0x75f1a130, 0x6081e24c, 0x5d23a721, 0xe1f316a5, 0x180f5687, 0x14ff56e8, 0x9bc8c5d4,
+    0x202c6895, 0xe7386fb4, 0x25b2f93c, 0xc4388691, 0x3a8af87f, 0x1932db40, 0xbfc8d41b, 0xe5d627c6,
+    0x3e38cbb9, 0x57df560d, 0xfc6d77af, 0x91175f7e, 0x3f5fba5c, 0xf7f85ffc, 0xe133d954, 0x6c4af6e4,
+    0x7327564c, 0xa7b76404, 0x2b36aaa0, 0x2b6fbff8, 0x4740893e, 0xa835cdd0, 0xc9eb0552, 0x922135c6,
+    0x2b18d49c, 0x20b8946f, 0x0ecf0096, 0x9e3813b6, 0x4def6ee2, 0xd73c729d, 0x41dbbc1e, 0xcc987c83,
+    0x625ca852, 0x6513c7f2, 0xbd612d65, 0x502b9740, 0x38747a05, 0xcedf9bd7, 0x7b315a24, 0xedd4172c,
+    0x00fcb17c, 0xdfdc3d60, 0xbbccf6ac, 0x0f367129, 0xfd6793da, 0x44a0848d, 0x0cf4c530, 0x8052a630,
+    0x6716caab, 0x13a21012, 0x7e206dc9, 0xe9b8666f, 0xcbbbac6a, 0xab718e86, 0xcb109e3b, 0x26049969,
+    0x828d9d63, 0xbb3047bc, 0xf8b4d18d, 0xc8ce9956, 0x63b7154b, 0x8db20fd3, 0x088eef6e, 0x73fb4a9c,
+    0x01df7f72, 0x92263f1a, 0x94a52c9f, 0x7745abcc, 0x4c4a2a14, 0xed5cba58, 0x5ee89b34, 0xc6324b94,
+    0x6c988fd1, 0xff294018, 0x6116166b, 0x8ce55c43, 0x4fae7ae1, 0x81b4a43a, 0x8ab64a29, 0x534bc120,
+    0xb1a950a0, 0x8a9a7fd0, 0x77a25b5d, 0x23cd4b90, 0x94486824, 0x5ce4e896, 0xfea59ad5, 0x3bf23090,
+    0x73f6844c, 0xdc523f7f, 0x29d9f4fa, 0x57f9a621, 0x484d67cf, 0x44e884da, 0xd2c20f8b, 0xfdec32b9,
+    0x714f03a3, 0xb4dc0441, 0x5a777f83, 0x67ec4359, 0xc3b43d79, 0x98f58a84, 0x8a7b84a2, 0x65f74703,
+    0xeec631ad, 0xd8cafeb6, 0x7c4d2642, 0xa7e9fce9, 0xdef7184d, 0x32964015, 0x8856c538, 0x23d1b122,
+    0x05a28884, 0x6fedbf11, 0x6ded6dcf, 0xd66982fd, 0xf0ff6996, 0x48449a64, 0x78b84266, 0x58aa8913,
+    0x18d05539, 0xf1120b9c, 0x17937730, 0xce218f1a, 0x38b650cf, 0x68ff2049, 0x7814c9d1, 0x5db5680c,
+    0x98fec614, 0xbaddc0f6, 0x590767c7, 0xe239839e, 0x28fb0634, 0xb2a8b8dd, 0xb116e26f, 0x19665283,
+    0xa5a0fe4a, 0x56221847, 0x2c730638, 0x14609818, 0x8c4565f9, 0x20c82001, 0x026d1b7e, 0x05842e35,
+    0xc01125b9, 0x44f109e6, 0x0a866d83, 0xe79fd69a, 0x377e3779, 0x3a952e9a, 0x7c9b3bbc, 0x82177771,
+    0x4b852e79, 0x45f8403f, 0x52a936c5, 0xb6ba2834, 0xbc283576, 0x5c225bb2, 0x15078a92, 0xb4a1302f,
+    0x0384e76f, 0xe9819f11, 0x5f9ea40c, 0x41f0ac1e, 0x6d443b96, 0xa3c0ec66, 0xc0afafc5, 0xe3866fab,
+    0xeed8178f, 0x95f39dcc, 0x7784996d, 0x8f3ca8e6, 0x3c525f2a, 0x5083d690, 0x33f465ce, 0x44a14a21,
+    0xaf994373, 0x0f0efd7e, 0xf599fb64, 0xcee30834, 0x8a12f22a, 0x4914987f, 0x3b25d105, 0x49c2b36a,
+    0xa369e1f1, 0x7c0f2387, 0x7473c567, 0xdf802866, 0xa3e09335, 0xbf7aa1b0, 0x7e712bb1, 0x301aa533,
+    0x1379f643, 0xd486b18d, 0xac3cbcb7, 0xa0cbf18a, 0x51d47b64, 0xe1f06eff, 0x5dac3943, 0x755c7704,
+    0x8106a245, 0xd2586738, 0x1e1b53af, 0x9f45d8c9, 0x45f55ba7, 0x6bb3c153, 0x9a2cc399, 0x45cd0537,
+    0x57eafe1e, 0xa3ae1c61, 0x8b1f6370, 0xce76f102, 0x4cd7f36d, 0xa762dc83, 0x61a3a429, 0xd1d4ddd7,
+    0x788341b1, 0xffa5817f, 0xd85c7625, 0x522b02d9, 0x86ecc50f, 0x8aaf87f7, 0x3396a3c7, 0x98a65dc6,
+    0xa2911cd5, 0xedec51a5, 0xfb1fb4ff, 0x30129820, 0x0c798366, 0xa26b6b49, 0x03e7141d, 0x28f44cbc,
+    0x39737180, 0x0c72e224, 0x64716afb, 0xfa72b7a3, 0x02fe51d3, 0xb942f89b, 0xc2fc1996, 0x0af712d6,
+    0xd4daa042, 0x326fea22, 0x8d3a1484, 0x020a09d6, 0xaf5c8f5b, 0x06118be6, 0x5dc976b1, 0x787e147e,
+    0x51c23cb3, 0x7b58ea34, 0x06283b7b, 0xe0a0eccb, 0xdd3c41ab, 0x5f03447e, 0x3a10d079, 0x1a2c341a,
+    0x0e0f3755, 0x7ab48a39, 0xbc36f3a0, 0xa176fb3c, 0x4f011a97, 0xc855298e, 0x8cf18948, 0xc66954ea,
+    0x3794a517, 0x326693c7, 0xcb5fa91e, 0xdf7359f0, 0xef654f77, 0xc1b08799, 0x2d18636c, 0x383b5d08,
+    0xf259e40e, 0x68bcf06f, 0x03159aab, 0x5faaff37, 0xf6ce79fa, 0x69c3503c, 0x73e8da86, 0xa0186cbb,
+    0xa2048baa, 0x734512cd, 0x8813f19a, 0xdef313be, 0xef4fd4db, 0xe772f7b2, 0x3d536729, 0xef09632e,
+    0xd34f88ac, 0xf32647b5, 0xdcf70f87, 0x57fcf2f6, 0x76b3c73b, 0x9e6a6e26, 0x38fdc9b2, 0x26ad9fde,
+    0x4174dd83, 0xe73bbc90, 0x7f745d84, 0x3ae97b2f, 0xe3a00590, 0x6ead5afd, 0xda020281, 0x2e8d486f,
+    0x7976790b, 0x033f0774, 0xdb36646f, 0xc63f4421, 0xa16c4cad, 0xf1bada60, 0x088398b1, 0x08763542,
+    0xa6571b6a, 0x96f815a8, 0xce05809b, 0x4a73f5e5, 0x1d07ab0c, 0xc7452cd1, 0x8d8dfd24, 0x9059c1ce,
+    0x5b8ace3f, 0x173cb4ec, 0xa89dd656, 0x595df778, 0xc8305ed9, 0xede78005, 0xe0343cba, 0x9ef9980a,
+    0xf02fd3fa, 0x92035536, 0xd38088d5, 0x6dfb6289, 0x5be898be, 0xb4ccfb8d, 0x5485d608, 0x8cbd8c11,
+    0x76ae71fc, 0x2c6419d7, 0xb8055847, 0xbaa7abd1, 0x4939a989, 0xd28c4d79, 0x82ec23d2, 0xcd4770f6,
+    0x8453f90a, 0xde85c12a, 0xaf45da2e, 0xf03a3e15, 0x178c5f87, 0xa4d80022, 0xc0b2da2e, 0xb2c4b02e,
+    0x921cb931, 0x3b7cb76b, 0x4728908b, 0x2b2ebe52, 0x61a4f699, 0xf7ef9d66, 0x66f5944c, 0xec4d4629,
+    0xfd1faf53, 0x1caa9a0c, 0x39aa76f7, 0x86b1a5d3, 0x2f5aefd3, 0xd8bdf1ad, 0xdbd65740, 0xaed74dc9,
+    0x44400d2c, 0x701af0e8, 0xfc3654c1, 0xe899b7d2, 0x8bb446dd, 0x7ad3ab5a, 0x0524c15e, 0x27393d87,
+    0x794d7cc7, 0xda514f00, 0xa579d7cf, 0x442b8741, 0x3ad1276b, 0x81eb8bfc, 0x4be6f23d, 0xd20374be,
+    0x709defea, 0x6cde9790, 0x8f9887b3, 0xaaba1ee6, 0x02cde5ac, 0xaec3f576, 0xbdbc0711, 0xb55e0a51,
+    0xa00f5679, 0x86b6d44c, 0x98c735c7, 0x454702b0, 0x0461ddc3, 0xc2942763, 0x000a9c41, 0x3074ddbd,
+    0x7743177c, 0x3e99ef34, 0x7e926418, 0xe5e4ff37, 0x3d403363, 0x2961043a, 0x8a6266cb, 0xac882f9c,
+    0x9fb9b3c4, 0x01ab2bba, 0x897ce850, 0xd4f9c71b, 0x554139fd, 0xd0a1cb73, 0xde942f66, 0x5370daf8,
+    0xe5f37f16, 0x3e04fb08, 0x5817c21a, 0xf612c5b1, 0x193f6568, 0x4e99cca9, 0x4781eafc, 0xa3393421,
+    0x2cac10c6, 0x242afd1b, 0x884fedba, 0x046060bc, 0x2caf1d58, 0xa7802072, 0x83bbafbd, 0xf1dca3d4,
+    0xcf83cbc0, 0x07c2596e, 0x48adf642, 0xaa82c09c, 0x19aba923, 0x23a2fd2d, 0xc7db86f9, 0xe2f25cd3,
+    0x3b2299a9, 0xda5f4f7d, 0xd5c24672, 0x6febd607, 0x75ddf04d, 0x271c87c0, 0xbf1fe02d, 0xa0e4b955,
+    0x73575ddc, 0x23a2931a, 0xf64ff2e9, 0x9ca0247d, 0x742d07d9, 0xf3c534dc, 0xe8f418e9, 0xb8f2448d,
+    0x8a8f6d1a, 0xe62d6245, 0x640b66fc, 0x8d382954, 0x0f016e67, 0xcceaa280, 0x3c9b8032, 0x20761bd8,
+    0x264f33dd, 0x1eb87f75, 0xafce885f, 0x38686438, 0x851d73b8, 0x774b71fd, 0xc906c46c, 0xce8d0518,
+    0xf2d4eeda, 0xb0ed142c, 0xd6962e5b, 0xc4d1817c, 0x5a70a5ef, 0x5d05a0c7, 0x7e9dfc2e, 0xd7ce8056,
+    0x57bda75a, 0xe6692c51, 0x2e0fd3c8, 0x03c029b7, 0x871a1c73, 0x7141e240, 0x5149698c, 0x2aafbe43,
+    0xd79a78c1, 0x3a56dd28, 0xafd5a958, 0x3a297cd2, 0x1dafc32c, 0x204864d8, 0x9f09dab3, 0x12ac837b,
+    0x3581efb1, 0xd526c484, 0xf5ef8c5c, 0x54687c9f, 0xdbd8ebb4, 0x1ea9d661, 0xcf9b68ba, 0xdd2778f4,
+    0xcdd56b24, 0xf2627411, 0x26be8692, 0x5ea3a3e6, 0xa7fb01e3, 0x6f51ba0a, 0xc9183233, 0xb3b21f8c,
+    0x0da0f6f6, 0x3a9ff2ac, 0xbb5f158e, 0x3fb6399a, 0x710d3c8c, 0x509127f3, 0xbada58d1, 0x7272ab66,
+    0x125f0d41, 0x6178c9dc, 0x3d5512eb, 0x85565a4e, 0x6bf5bad4, 0x99a9333c, 0x3163e0c3, 0x6ee36d57,
+    0x0a1ce8e7, 0x8b1f7ef6, 0xf8876371, 0x4bb1825d, 0x09a44dcb, 0x748880ab, 0xf069dd03, 0x141cf49a,
+    0x725405ae, 0xa2dd7d6d, 0xb7aa73de, 0x6bf6030c, 0x7699e3ae, 0x0bbe1d91, 0xbd8c6886, 0x13ea20c8,
+    0x38f6c207, 0x0855c08b, 0x4555dfb3, 0x3deb9ab7, 0x21600d25, 0x9c3f8f87, 0xa0fd1415, 0xce92b555,
+    0x7f179b10, 0xada3d980, 0xb9a10717, 0x5ce20d5e, 0x34e72d60, 0xbce52acb, 0x4bedd883, 0x7254148e,
+    0x12bac552, 0x836dba41, 0x73f861ab, 0xac9dd78f, 0x29b84f9f, 0xddc3904a, 0xf67c8aa8, 0x62637802,
+    0x46fe7fb8, 0xcb48316f, 0x9e0440c7, 0xafe15c91, 0xb56bd4c6, 0x59c92640, 0x0830ce27, 0xee166ba9,
+    0x04c90425, 0x5ddc3d5f, 0xba8d3803, 0x0a50b22d, 0x9b8de248, 0x839dab09, 0x6c2d8612, 0x99c99052,
+    0xda8df805, 0x2d5c4bf2, 0x6fcba547, 0xe3e77f90, 0x0813e20e, 0x0d4d63eb, 0x28d1a198, 0xc30e4103,
+    0xce23f4cf, 0x48743595, 0x3e167ac2, 0x0bad86b3, 0x64682031, 0x4934fdfd, 0x057af436, 0xb88c825f,
+    0xb6c773aa, 0x5180a3ad, 0x1d6e66b0, 0x152aa0f4, 0x56410e77, 0xb2a10f52, 0x9a95bc38, 0x863d7f06,
+    0x0c997c90, 0x4c49b246, 0xbe7f6ea4, 0xd1609d62, 0xbba51aca, 0xf78739c6, 0x6cba3dea, 0x7c6f01c5,
+    0x2dc81a6f, 0x9f9a40df, 0x1658bcc2, 0x64198e4a, 0x7282bc6a, 0x787d7c22, 0x5d1ee84b, 0x82d35255,
+    0x6504de2c, 0xcc17c688, 0x614a82bf, 0x3375a89c, 0x5e7754f1, 0x3479468a, 0x22cf55e0, 0x21c6862a,
+    0x082cb112, 0x201dbff6, 0xef6e7335, 0xfdc337fd, 0x4e456516, 0x89e0e02e, 0x59a4634d, 0x4c739740,
+    0x733c4a91, 0xffab0656, 0xa7ef1864, 0x2826940b, 0x3ceca07e, 0xa03ce89c, 0x3726b7e7, 0x9ace268f,
+    0xa198b2e8, 0x757388ab, 0xc8114739, 0x8c70c721, 0xa648d479, 0x664eddbd, 0x4da714b8, 0x9da44a4f,
+    0xf23c48a7, 0x4aa8e3e2, 0xa1ceb897, 0x816fd0ff, 0xcdeb85d5, 0x09cb6229, 0xc3cf8abe, 0x94cb2d90,
+    0x46d776cc, 0x02b2a860, 0x5bc76140, 0x92531978, 0x9245203a, 0x9b058746, 0xfae61fa0, 0x5e3a98b2,
+    0x39990902, 0x0eda4264, 0x220bc54b, 0x781863b2, 0x8add7aba, 0x3c825ea6, 0x704bf3db, 0x63396f05,
+    0x5eb34ccb, 0xe4ec1d0a, 0x8c41cbd0, 0xf5823702, 0x7a903e3d, 0xff78beb3, 0x6a651462, 0xa5801df5,
+    0xd48f5b06, 0x607dedf4, 0x786a077d, 0xf80e956c, 0x672902e9, 0x20fa3105, 0x60b3333d, 0x8837b95d,
+    0x202878bd, 0x85c4edf3, 0x2aabee6f, 0x88b29beb, 0x381af5a7, 0xf2281fbc, 0xbcd6661b, 0x17555bb6,
+    0x97d8cd82, 0x89c73614, 0x16e1cacb, 0x5a416ace, 0x9cc216d8, 0xd9a83a2e, 0x3ac0ad01, 0x76511efc,
+    0x80980fb6, 0x34b9d56c, 0xb4756a33, 0x4f0b896a, 0x72f1f89e, 0x49555a4b, 0x3701020d, 0x803bea8d,
+    0x00000000,
+    0xc286bdc8, 0x6c75a17a, 0x47c497d5, 0xd3baa3e7, 0xa0cca1fb, 0x105cf0b3, 0xd236d590, 0xc6f675a9,
+    0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000052884477503219887916153224642621683186272374637\
+                         14249754277190362195246329890490766601513683517722278780729696200186866434048 */
+  { 0x00000000,
+    0x840759ba, 0x7a99b0ec, 0x27154225, 0xf0bc2e9b, 0x4b2581bc, 0xe339afd2, 0xe039339c, 0x6a369f26,
+    0x880432ac, 0x1679856f, 0xd307e6d4, 0x651f8179, 0xe59f84d4, 0x21416be8, 0xa38b910f, 0x8274dcb8,
+    0xf14d434e, 0xc55dbe92, 0x1f147c68, 0x0486c613, 0xea1571ac, 0xdf66550b, 0x1170d773, 0x9a306627,
+    0x0f415023, 0xe8b7cae7, 0x43cdbc7b, 0xe6b38a47, 0xd7825da8, 0xf90b8b8c, 0x36d4b0d5, 0xde44efff,
+    0xbb262c42, 0x4d1242c3, 0x3a52b218, 0x160c2cbd, 0xf0daaada, 0x8ba14fbe, 0x275f3eb1, 0xfcc940f9,
+    0x084dff5d, 0xc8093428, 0xf956212f, 0x7b1e0523, 0xaadae964, 0xd90eb3c0, 0x3a76a97e, 0x22ae934f,
+    0xabacbfeb, 0x4e100c5e, 0x6173780b, 0x8869cfc2, 0x0fb9242b, 0x6988f3fc, 0xb4d7f020, 0xb597c6d5,
+    0xbaeda80e, 0x7232ee3e, 0x5608b77d, 0xf506f0bc, 0xccfaa351, 0xc5919ba0, 0xb70bd480, 0xbcb12985,
+    0x56ff55ab, 0xca57a488, 0xca3ff3dd, 0x0ed4c20c, 0xd628a3a7, 0x8ea8a8bb, 0x1db7ba4e, 0xf669d1bb,
+    0xda591d79, 0x6cf78045, 0xc47494ea, 0x1ccab336, 0x498581d8, 0xc1e0481f, 0xf93dd086, 0xe0b2f325,
+    0x23b4db99, 0xcc1d7fca, 0xa50e513e, 0xce6786dc, 0x51d37bdf, 0x62317726, 0x05c8e0cf, 0x1839b641,
+    0x44907423, 0x48050d1c, 0x8f36c466, 0xc200d860, 0x21105684, 0x36cb70d3, 0xf1fb2a7a, 0xeaab5722,
+    0x408228b8, 0xda9ce973, 0x275d6c80, 0xa3dafb41, 0x420786be, 0x1aefde28, 0x8fa659a0, 0x1fe8d3b1,
+    0xfd989412, 0xc6d0b607, 0x5d7b92ba, 0x73e1dd9a, 0xc4356fef, 0x9c91eba6, 0xf2bef30f, 0xbdf33cc7,
+    0x208d5f4d, 0x72c8b3d8, 0x4634f489, 0x3a23035c, 0x5845b3d8, 0x0fec21c5, 0x59038469, 0x1a9e0d30,
+    0x17a26566, 0x9602baa1, 0x7680c0a3, 0xdf2ef51c, 0x8a318f39, 0xb56a52d8, 0xc2ffb3b2, 0xbfe7c851,
+    0x7113d986, 0x09ea0d13, 0xc5114444, 0x1cb28aca, 0xa008f0fc, 0x1f73c2c2, 0x6e5ff779, 0x1553f42c,
+    0xb67e9cd1, 0xa9064367, 0x75b5658d, 0xefe1f7d5, 0x8850bb3b, 0xe4fe9543, 0x8c44e8e8, 0x80009988,
+    0x5ca0070c, 0x9e2aee0b, 0x05bff9b3, 0x2a587cc9, 0x5540e553, 0x0647db4f, 0xa9d2dd49, 0x22584574,
+    0xabb468af, 0x3165898c, 0x4e59976e, 0x03834f30, 0xf9ebfa11, 0x44c37c47, 0x4e30b073, 0x8705a0e8,
+    0x53f0856f, 0x95849491, 0xecbe38bf, 0xd30816ce, 0x3f87ee03, 0xf155c936, 0x0ba0de16, 0xd3cd0e7b,
+    0x333fc913, 0x9caee6b5, 0x1f2ae27d, 0xb9a7f2a9, 0x69433e09, 0x31c414dd, 0x60e14a3b, 0xd5b81f68,
+    0x653c3b59, 0x788f2548, 0x68f9a4dd, 0x75460e63, 0xb2f36f43, 0xdec6375c, 0x23d552a2, 0x6a373779,
+    0x7485a795, 0x1dcb0cbc, 0xaa580167, 0xa2f41c9f, 0x2ccf1c87, 0x896ae4ee, 0xc8fe3717, 0x5bf3444f,
+    0x5fe38362, 0x95d308d2, 0x6a7d55f7, 0x23094d62, 0xad98a923, 0xd17c24f1, 0xfc702693, 0x43652c09,
+    0x6f4402e0, 0xa8211a44, 0xdcd7bfcf, 0x9cba8b56, 0x642cf734, 0xb5b8e7d1, 0x5f7d63de, 0xa68d5e25,
+    0x32dbd78c, 0x0828f7aa, 0xccb5449a, 0x44107ee3, 0x55e82308, 0x6a7e252f, 0x56720bc2, 0x0b6e78b0,
+    0x7fbb84d5, 0x0458602f, 0x5f5d7132, 0x119c4674, 0x4046b8c9, 0x31235131, 0xcc73bebc, 0x30438c54,
+    0x891fd014, 0xdec8e9f5, 0x3220e858, 0x93161493, 0xc5bdf9b8, 0xbd4b0821, 0x4c3eca06, 0xa167949e,
+    0x34b36615, 0xd362a7e4, 0xd217a795, 0xfc017cc0, 0x3541fbb3, 0x3e2c9d1a, 0xe84757cf, 0x6caa29ee,
+    0x2f980d80, 0xd0f168cc, 0x35a74ea3, 0x70218550, 0xea1de3ba, 0x651f2c17, 0x32e71df4, 0xb51adffa,
+    0xb9b59f0c, 0xeb983913, 0xdcd639ce, 0x4159637f, 0x997ff68b, 0xe9a14ae8, 0x743c7982, 0xc5be00bb,
+    0xc4104bf6, 0xeb42d07b, 0x78928ede, 0x64c04a69, 0xb69bb6d0, 0x33eca55c, 0x60c382e6, 0x7d1a9e8d,
+    0x0339354e, 0xc8ccc1f4, 0x4aa47584, 0x6f547a1a, 0xb410dffd, 0x34a0d751, 0x49c3aa99, 0xa767b804,
+    0xfba98b3f, 0x1e0de17f, 0xcd1a19ab, 0xe0b85f70, 0x54ecfd4a, 0x63d2084a, 0x8db26af7, 0xfb16d461,
+    0x5fe1627e, 0x92b70a34, 0xb03e6065, 0xe8f8d81f, 0x87fa73ca, 0x8c03c582, 0x17b35580, 0x77f5f52a,
+    0x5003d443, 0xa7640902, 0x2bf9bbe0, 0xa2fe2765, 0xc1ee6302, 0xa81ca917, 0xbfd61e45, 0x872c7723,
+    0x61f1f59a, 0x9b879aa5, 0x8d83cef0, 0x41812d4b, 0x62e53c76, 0xcd9c73a6, 0x4b31acd9, 0x65627252,
+    0x2dc48b77, 0x41af4b53, 0xfc125d60, 0xfc9708f7, 0xd78176f8, 0xda9d6b32, 0xee938093, 0xb1c6ebe2,
+    0xb7f7a127, 0xf996dd56, 0x1e0d44f4, 0x6009b5c0, 0xe1949407, 0x80a349bb, 0xb1a87770, 0x47331e1d,
+    0xee16d4f6, 0x11b6bf98, 0x3f8a3066, 0x3832cbc0, 0x87d82609, 0x0cbb522b, 0xb95ff2da, 0x13810c78,
+    0x6df157e4, 0xf1d216be, 0xa6f16df1, 0x430e6f02, 0xf720f092, 0x420b9660, 0xdd6d5c99, 0x1b78f3db,
+    0x4b1c4b0b, 0x1276b013, 0xfecf364e, 0xe6a1435b, 0x5cd51687, 0x6cf3a856, 0x831ceb83, 0x2a421c91,
+    0xce5fe581, 0x8bae4ff0, 0x5eba753a, 0x3cda245e, 0x814d590d, 0x528a4205, 0xa39c844c, 0xd69e5aa1,
+    0xed265c4f, 0xa485328a, 0xbea1fb6c, 0x7a361393, 0x109e720a, 0x1db2a079, 0xac5f946e, 0x05dbff18,
+    0x85c15f3b, 0x8b96628c, 0xa06f369f, 0x3d764b55, 0xe7e1ca1a, 0xfdcff22b, 0x84e6d331, 0xc4218b01,
+    0x03fcb18a, 0x273c74a5, 0xbd8e6934, 0x0e9a2b89, 0x485af314, 0x9b0f5370, 0xc3c1622c, 0x7bb50685,
+    0x0b0aa570, 0xf85d4e66, 0x8d55738f, 0x0214190b, 0x30742bd1, 0xe3d3e1d8, 0x130330c0, 0x1248fbb4,
+    0x9d1e473b, 0x816d0a50, 0xc0d292d1, 0x67ac1622, 0x37ff976c, 0x44330f47, 0x36497f9f, 0x4f093c76,
+    0x011c3293, 0x8c3c9a37, 0x885e6aef, 0x3c2e7dec, 0x820012b2, 0x8672666f, 0xed201e36, 0x346172a3,
+    0x4b4bea4d, 0x01273348, 0x4e890783, 0x5ffad3d2, 0x41690879, 0xaf626b2e, 0x5c331a9a, 0x9ac3719a,
+    0xc19640ad, 0x62a8ba67, 0x50bd754b, 0x64972e40, 0x0fe0eaac, 0x41b01818, 0xe6223dfe, 0xe9438cd4,
+    0x4dac8383, 0xe7037751, 0x8bfd2ad4, 0x3c116362, 0x68114770, 0x010e2689, 0x809436f7, 0xdb1f6e98,
+    0x020706d0, 0x46e1744f, 0x4180d0a7, 0x9fa4ad3a, 0x9d121280, 0xf3b88e12, 0xb364fa22, 0xf934c6bf,
+    0x6d5a3b02, 0xde2a7abc, 0x5348e93f, 0xce3b60f5, 0x95cff453, 0xd5173deb, 0x2e4ed8d8, 0xdf41e1d5,
+    0x561a6ca5, 0x91a6d86b, 0x9e83e88e, 0x3971eb80, 0x8ff5717c, 0x39610f5b, 0xb1c981f4, 0x0fc642a0,
+    0x56cec06c, 0xab5c89db, 0xf4bd1fff, 0xb6b93ab0, 0x6d80b3c9, 0x190ccb4a, 0x038976bf, 0x36c9f098,
+    0xb8b87231, 0x41980960, 0x573e2ab7, 0x7ef45c62, 0x814a30bd, 0xa7ee3c61, 0x888cd47a, 0x7349dc64,
+    0x61c0de86, 0x31d81033, 0x55e0a17f, 0xdb547116, 0xca42b2b0, 0x1a8ac76e, 0x7a38207a, 0x30e8d86f,
+    0xc068f9ad, 0x003f9d99, 0x37006139, 0x7927e238, 0xb0ec9ebe, 0xd410c644, 0x88afc337, 0x4ff37b4d,
+    0x693748f2, 0x5507ebaf, 0x1a0c0028, 0x459a450d, 0x69799a66, 0xcfcd9617, 0x16b8aa63, 0x06beabaa,
+    0x952c4d76, 0xa29febd9, 0x87f394d1, 0xb8d042d6, 0xf233eec0, 0xe662a3f7, 0x8f58707d, 0xccff7d06,
+    0x60d2f287, 0x909905fe, 0xab3241d5, 0x4613518f, 0x8c2ada50, 0x24d9332d, 0x78482876, 0xd238f242,
+    0x371cbf51, 0xe4deb6a3, 0x3eba2b1a, 0xab005aae, 0x7ca63227, 0x85a4e993, 0x949b4504, 0x88423d14,
+    0xf8f20987, 0xba2fad67, 0xfa9a3f9f, 0x700dcea9, 0x68d6f413, 0x2182dcaf, 0x4266b9ed, 0x5309c6a4,
+    0x041314a5, 0x65511ab9, 0xa0beaa8d, 0xf7fb2696, 0x02bb37b8, 0x936a105b, 0x7d7f4caf, 0x47f59afd,
+    0x2025338b, 0x95080781, 0x19c553cb, 0x17be11c5, 0x54dd629d, 0xf0931639, 0x2a430008, 0x8cb50e3c,
+    0x069d04dc, 0x9e513b6c, 0x2e00d20e, 0xb6930b56, 0x272a22e9, 0x0ead6a5e, 0x7efdc77c, 0x2a4bfd84,
+    0x83823473, 0x538f6256, 0xd354acbf, 0x0bdc5a74, 0xa7b25714, 0x35dd9fc2, 0x1bc4b1ad, 0x93a7124b,
+    0xd32788a8, 0xd091cb23, 0xeb2491dc, 0xa027808d, 0x453498e4, 0x31214d33, 0xd07b9f08, 0xcd70b980,
+    0x276d96a2, 0x081b508b, 0xc908c8e1, 0xc739a263, 0xde910a39, 0x6b7541c1, 0xbbd9ec2f, 0x43bca10f,
+    0x18636fb9, 0x95c1029d, 0x54a0c43b, 0x88fd278b, 0x3f72eac6, 0xfdf6cb52, 0xf8bad190, 0xabbfdaee,
+    0x020edb81, 0x94d93acb, 0x3de86d7a, 0xd6c0c9dd, 0x89344183, 0xeff8b235, 0xee559c52, 0x304b62c4,
+    0x6e07ece4, 0x5ba01913, 0xcab5eaa9, 0xb19e84a5, 0x9c87794b, 0xee536448, 0x4a75c9f2, 0x169c09bc,
+    0x53de69d2, 0xb46ad3af, 0x684c1c7b, 0x4bfc3bd0, 0x51f97713, 0xd9dee462, 0x6e662c71, 0x869b4f65,
+    0xfd5b798f, 0xebe3bcf2, 0xbd6befe7, 0x51b219e0, 0xe4996dde, 0x816559c1, 0xe567a598, 0xb67ebeb5,
+    0x8617afba, 0xd2ae8aa9, 0x7bcb602a, 0x1146a274, 0x1e3e31e4, 0x4c8a6e20, 0x1800d424, 0x46e549fc,
+    0xc3918405, 0x84b1859b, 0x29e877ce, 0x2ca39cb5, 0xa0d4c531, 0xbe783e22, 0x88c99cf4, 0x23b8865a,
+    0x99781f97, 0xaaa78cb4, 0xf2131c1e, 0x762a1a52, 0x3023ec65, 0x2c371ce9, 0x4c093b9d, 0x235f51a2,
+    0xe9cab37c, 0xaf95c2a0, 0xe4ee0f83, 0x5c6751af, 0xe21aa0dc, 0xd2e03cda, 0x63f4aefc, 0xffbd907e,
+    0x3618b06d, 0x2201ba55, 0x11772fc0, 0x2b6e31cd, 0xb0987082, 0x8bf0a852, 0x3cf36747, 0xa487dd5f,
+    0xf9a13429, 0x7a0ca58a, 0xb1ed2a4c, 0x46497afd, 0x0777f388, 0x5f998cf7, 0x07f484a9, 0xba7e68fa,
+    0x24e262d2, 0xa6bd413b, 0x20a9aa35, 0xefdc1248, 0x562e980f, 0x5dec5264, 0x470fbaa4, 0xbd4ca366,
+    0x6030670e, 0xdacfec56, 0x379f5022, 0x08a31d78, 0xa6b06fdd, 0x8867db2f, 0x7ec7c303, 0xe9233304,
+    0x56af7597, 0x791c0764, 0x0d5f3ee5, 0x052d686c, 0x8952cd0c, 0x9bf781b6, 0x4f32b4a8, 0xc5bda1db,
+    0x9c2f63d1, 0x2abe7ede, 0x5c064eae, 0x1bf7660d, 0xdf8ecdbe, 0x5244046f, 0xe8703e83, 0x94c5b6f4,
+    0xabad1ebe, 0x12224aec, 0x4a689537, 0xa734509b, 0x6a3d5f6f, 0xdae8994b, 0x6bb01f11, 0x6b657a52,
+    0xcf13b760, 0xd26949c8, 0xb2004230, 0x250fc1de, 0x546216ee, 0xcfeb2838, 0xfb4c13b3, 0x3bf582b5,
+    0x43b6ae30, 0x98aa36d2, 0xffabbd1a, 0x5e67b815, 0x4927b7d6, 0x955c6330, 0xd8a3210e, 0x1bbc1724,
+    0xfb007116, 0x38b221fb, 0x82db4ee1, 0x7a6d9a6d, 0x67d7e331, 0xf99aa339, 0x1dd98ae9, 0xba7d16a1,
+    0x9a713d89, 0xb5364951, 0x857a20c5, 0xadd79ee2, 0x042fdbf1, 0x4f2342bd, 0xfb18a532, 0x0cbfbce4,
+    0xd1ce4841, 0x2ef06a67, 0xaceb4412, 0xf653d10e, 0x06b0605b, 0x557e2ed6, 0xcd059f57, 0xa9f0d2ba,
+    0xcde3c281, 0xc5225f31, 0x65a083c7, 0x9bd8b2ae, 0x6cd6f01b, 0xb9546a97, 0x0b074f90, 0x66a6fbfe,
+    0x75338b78, 0x21bc586d, 0x96c863cd, 0xbd128029, 0x180ae830, 0x024729ad, 0xdd3c5066, 0x519c3be4,
+    0x9bf9549b, 0x257971a7, 0xc8a9edbf, 0x7ffd1532, 0xd8499d47, 0xb6971aa2, 0x3700c0d1, 0x4ed1c3ed,
+    0xfcd0e35b, 0x462529ee, 0x0aa2a4a0, 0xd568c8b1, 0xaf92e697, 0xdb619b38, 0xffd0a584, 0xcfd81dfa,
+    0xfd5e605b, 0xff6041f3, 0x306996d9, 0x73300c63, 0xd254476d, 0x1fbfa6ce, 0xe25f719f, 0x965b5d5c,
+    0x27354c5b, 0x918d0fa1, 0x6989d541, 0xcdee1433, 0x6aa8e41a, 0x7acdadc9, 0x8f48dcf0, 0x11ef9470,
+    0x194743e8, 0x26b91163, 0x64f368a0, 0x24645f72, 0x238f02e4, 0xfa48821c, 0xe5de74f7, 0x42587e7d,
+    0xb4d55844, 0x5292375b, 0x031224a6, 0x72ad71a4, 0x69b9b904, 0xef6067ce, 0xe58facd0, 0x48ec0f6f,
+    0x57717c79, 0x92b981e3, 0xeebeee10, 0xa56818e6, 0x3314360f, 0x8fbe4a75, 0x65ac1449, 0x9b663e45,
+    0x1058a274, 0x7e94552d, 0x3d8de7c1, 0x8d981cd6, 0x8e4b8508, 0x7df8c5ca, 0xec460848, 0xa6eab869,
+    0x7fe06ebe, 0xf14d5237, 0x55a34771, 0x46a1acef, 0xc7dd9669, 0x8eb83948, 0xc2247258, 0x32a35ae7,
+    0xc1593565, 0x5797e4cb, 0xcbd79f86, 0x257df18b, 0x76dc5164, 0x7852d1d8, 0x0f0b488b, 0x57c38f6f,
+    0xce52914a, 0x0991c24c, 0xc99ad22d, 0x498e3677, 0x0f218cd6, 0x2111a92f, 0x9c9ef1fa, 0xfbf76396,
+    0x973bc238, 0xf31043ed, 0xe891969e, 0xf376404d, 0x86026102, 0x238e38d6, 0x85e21906, 0xc1c32eeb,
+    0x4be132a1, 0x99fe5ee4, 0xcde02069, 0x8e7edd88, 0x7c58e1b0, 0x5b2adfba, 0x19626261, 0xf07e43c5,
+    0xfd1d6583, 0x0bd31bac, 0x1c269a73, 0xea085b9c, 0x9d54b261, 0xe141148b, 0x04005e67, 0xf01b8c7e,
+    0x5725979a, 0x60a3a27e, 0x6efae9ec, 0x37dc6a7c, 0x1d1806a8, 0x8b764d01, 0xec66a95a, 0xdd07cd65,
+    0xb55726b5, 0x615417c1, 0xa699fa05, 0x8bbbe285, 0x2f1a2c5b, 0x835e6ad1, 0x33e0a2eb, 0xc2b952ad,
+    0xc9d7dd3d, 0x10921a3c, 0x82461012, 0x29fc5264, 0x4230f3a5, 0x0e83b336, 0x93b7b736, 0xcfe293cc,
+    0x1b21951a, 0x2f037e59, 0x00469188, 0x1cda0212, 0x0b36df35, 0xaf9394a9, 0xcc5fc4ae, 0xb81eba52,
+    0x48a8ba4e, 0xb76df1bc, 0x70e419e3, 0x74f68f80, 0x0da11ea4, 0xf971f849, 0x99016382, 0xdb780df9,
+    0xf7f1a81e, 0x9389eeaf, 0x64281fbc, 0x66ecf021, 0xc28e0deb, 0x281c97d7, 0xb0594eb6, 0xfe2a850d,
+    0x2570d9b2, 0x4f87aed1, 0xbcae5bed, 0x4dddc765, 0x2fcad827, 0xb8685679, 0xb7a99dfc, 0x597163f4,
+    0xfecd2d00, 0x53417085, 0xdd8b4b7f, 0xbe691e76, 0x6ec72676, 0xafb44342, 0x5d0f8a02, 0x59098eeb,
+    0xbf761e3c, 0x5b757172, 0xa3953609, 0x6926bf62, 0xd522b942, 0x427585c6, 0x58527292, 0xb2c36670,
+    0x016fe0c6, 0x50bb3422, 0x7fa95c2b, 0x94911ee5, 0x78a23373, 0x39b1bb38, 0x7e06ff81, 0xfac4d575,
+    0x097d9f0f, 0x0265825d, 0xc9a5522f, 0x6073d766, 0x103844bc, 0xe508b8d8, 0x0ecd24bb, 0xbf0ecb89,
+    0x41217d72, 0x372c8087, 0x41c660a0, 0x806a17ca, 0x30ef98a2, 0xa1b89cae, 0xeae477e1, 0xf1cfe9c7,
+    0xc4a12d57, 0xf8973f40, 0x2b8acfb7, 0x51c06a2e, 0x7498f21b, 0x2ca214b2, 0xb7a999b8, 0x0b4c5709,
+    0x9377d482, 0x621474ee, 0xaa6f5805, 0x7fd57a43, 0x86922c77, 0x074ea3f6, 0x844e1d32, 0x9f1bf242,
+    0xe68e4e09, 0x80aa4d90, 0x51c7e905, 0x92abac45, 0x029ea83f, 0xba3c3ae1, 0xb1bfecc3, 0x8b8c73d7,
+    0xeb44d287, 0x02e8b06b, 0x81abe908, 0x26ae6c68, 0x15df709b, 0x1e72fe26, 0x47da79d9, 0xe0892905,
+    0xaf27dd8e, 0x879d29d4, 0x115c15f6, 0x93f049af, 0xdda69569, 0xe9bb061a, 0xb4becbfb, 0x05985f2c,
+    0xe3126086, 0x3ab92998, 0x6b835d3f, 0x8a1fdf93, 0x66077a8f, 0xc1a8e298, 0x530819e2, 0xb52f4c3e,
+    0x00000000,
+    0x61435ee3, 0xb63ad0bd, 0xa3e24bea, 0xe9dd51f3, 0xd06650fd, 0x082e7859, 0xe91b6ac8, 0xe37b3ad4,
+    0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000026442238751609943958076612321310841593136187318\
+                         57124877138595181097623164945245383300756841758861139390364848100093433217024 */
+  { 0x00000000,
+    0xeac9988d, 0x3eaa860c, 0xa59d6d71, 0x52015f73, 0x279a8a16, 0x3249dbbf, 0x64accd67, 0x7b5e3395,
+    0x8c77fd2b, 0x6a4b6419, 0xcafb7fdb, 0xa7243ccc, 0x626b3dbc, 0x5cf50fc3, 0x244e7333, 0xce2ddcce,
+    0x8e6ca285, 0xf0c82bec, 0xbff69b9e, 0x643cdb8b, 0x9f03ab46, 0xeec54c6f, 0xdc565607, 0x6bc0739e,
+    0x007e8113, 0xf59998f8, 0xeec7b608, 0xff63f1fb, 0xa84d379d, 0xcc859de6, 0x991d36d9, 0xa4af7629,
+    0xb5fa7f5e, 0x0267167f, 0x8096e5bd, 0xe0b67c85, 0xab773f8c, 0xca69470e, 0x00f19eef, 0xc4cb66b8,
+    0xbbcce70c, 0xb24acd49, 0x7afebf10, 0xe175985c, 0x266c6a9f, 0x0d22b5bd, 0x57deddc8, 0x2a113c9e,
+    0xfbaa5a1d, 0xd1af8f53, 0x4b820e75, 0x45d0f6b8, 0x6df34816, 0xb3bbdd3c, 0x6fb54bfa, 0x6ae3535c,
+    0xbea141fa, 0x09dd3573, 0x3e5ebdbc, 0x6276d838, 0x597f84f8, 0x819ad5b9, 0xb5b80a7f, 0x6e4e017f,
+    0x66cdebda, 0x7eddadfc, 0x3f01fe0d, 0x570a8a59, 0x14112de2, 0x9d0179a9, 0x9b1a1cee, 0x5a3f9775,
+    0x40223099, 0x57293000, 0xd257797d, 0x961b3fb5, 0x68a99c28, 0x2c705ac7, 0x330b1899, 0x8c32b8da,
+    0x0a89729b, 0x59080f77, 0xf0b7d994, 0xab2a5654, 0x3af4cf33, 0xab09668e, 0xaa3b3b0c, 0x4f8ec62c,
+    0x28608be2, 0xddaf478f, 0x43aa46e4, 0xe5a2cc0b, 0x2228f22b, 0x809bfd6c, 0x97c4fd23, 0x56afa6c0,
+    0x64bbe3c8, 0x81cf941f, 0x139b3abf, 0xaa676102, 0x636b9fa2, 0x6221b5e4, 0x386e7288, 0x0771af3e,
+    0xe1ee581f, 0x84bc9ec8, 0x4269866c, 0x20103991, 0xc0d390cf, 0x71ee91e3, 0x5e6ddbd0, 0x839b9775,
+    0x546c4ccc, 0x7c86d101, 0x38b76738, 0xe593a959, 0x81b7275a, 0xdd2c5969, 0x2eb5c0cd, 0xba832509,
+    0x67b478ea, 0xea93571b, 0x4021b1ec, 0x5a3dde50, 0x6a848f0d, 0xb07b4bd7, 0x82fcab49, 0x0bae82a2,
+    0x8769829b, 0x826e193b, 0x0f5c947c, 0xfd53a602, 0x32bc8c0e, 0x4f81892d, 0x553e8520, 0x87b6659e,
+    0x39434508, 0x9f8d1dd4, 0x954ffa7e, 0x6776db2c, 0xb10b8db2, 0x27ab3813, 0xb5776142, 0x45553439,
+    0xd6baf20e, 0xa38b120a, 0x584b0f38, 0xc0e19535, 0xf16ad3a7, 0x5e6d5363, 0xea66cfd6, 0x5b3d012d,
+    0x7276399d, 0x690e83ca, 0x34dd5e42, 0xd19c13f9, 0x208597c4, 0x87658118, 0x542af0fe, 0x8ac16c57,
+    0xf39324de, 0x5039fea6, 0x3e73d3a2, 0x21f42a83, 0xfdeaa276, 0xd55e5c96, 0x7a86ecf0, 0x483dd072,
+    0x8b3bd6be, 0xe20fde77, 0x7c9e0474, 0x1accd378, 0x205fbf18, 0x273c44b1, 0xdcc716c1, 0x502ea9db,
+    0x8ac842ed, 0x2c1ab1ca, 0xb05c26ec, 0x840191c7, 0x31533ad0, 0x4109e382, 0x3eeb2fc7, 0xd110da57,
+    0x27778680, 0x55c6648d, 0xb849704a, 0xdf0528d1, 0x59d2df56, 0x0ee48f19, 0x874a318f, 0x95d93fc9,
+    0x21ba659a, 0x2f8fd74b, 0x617e9c15, 0xd30726a9, 0x0e07549a, 0x4a848863, 0x517d73ff, 0x679d1b89,
+    0x7b027fce, 0x35f5ae97, 0x7ac40c27, 0x0446ebc6, 0xc5710c1e, 0xdee95d91, 0xeb955849, 0x1c74384b,
+    0x0b4cfa46, 0x712f85bd, 0x9aa1193c, 0x0b7e8336, 0x0563a4aa, 0xa2d0f282, 0xf72a72f6, 0xea0b5e49,
+    0x51cc2363, 0x85857832, 0x0a287226, 0xa081db8a, 0x92910b4a, 0x6258996e, 0xf78a3d35, 0xbe1c8042,
+    0xfecda14b, 0x805807cc, 0x358092c2, 0xf943660e, 0xd9d81c65, 0x6f3cf201, 0xe26e92df, 0x4bb09851,
+    0x5b3a9b3e, 0x52fcbc8b, 0x0556e241, 0x475df9f3, 0x7b47cddb, 0x8dc1f0f4, 0x05d1071a, 0xb59a6b3c,
+    0xd1950efd, 0x2e59b3fc, 0xcb7f6b49, 0xf0ce14b3, 0x8358d990, 0xc5f23449, 0x527a478b, 0xe26f676b,
+    0x13c6ed17, 0x8dc1d1f4, 0x8b22812e, 0x140aa53e, 0xea4902ae, 0xcaa2f6e1, 0x102f5676, 0x2f78c993,
+    0x41f699d8, 0x1c1d935a, 0x4347d907, 0xcfa9be89, 0x3f1097f1, 0xd553c179, 0xe2ca6c39, 0x31a92d25,
+    0xbb639297, 0xc3351e36, 0x3676ed6f, 0xfa591c3f, 0x049b1ff6, 0xd71bd34c, 0x6c4e9b2f, 0xc5997417,
+    0x8878d04f, 0xc84ffa7a, 0x4d98e18b, 0xc70e03b2, 0x3fcc9ff7, 0x8bb44706, 0x78ac1d25, 0x6975fdd7,
+    0x24402571, 0x329e8f96, 0xba67c4ee, 0xf61c7e7d, 0x5ef42057, 0xf9055185, 0x14cae399, 0x0f599437,
+    0x756c8f7a, 0xbcf0fd3c, 0xc99de9c3, 0x95acfcb4, 0x5f2fc7e8, 0x18f4a4c3, 0x1b5fcd90, 0x671eb570,
+    0x77348bcf, 0xceb3d7b9, 0xeb974037, 0xa8b32fb8, 0x3609089a, 0xac884f1a, 0xba680af5, 0xbfc0b707,
+    0xadb65099, 0xc99ad1d9, 0xbd521770, 0x646cda8f, 0x213e6500, 0x981c960e, 0xebd1ae72, 0x36fde2bb,
+    0xca9efa91, 0xa32727e9, 0xe746f892, 0x8c428b6d, 0x9b87da19, 0x7727a5a3, 0x3822b80b, 0x6d737e12,
+    0x60e0337c, 0x11e4e877, 0x8aadfec8, 0xad4858a4, 0xe3ea616c, 0xf3dd8c42, 0x6354b202, 0x40993e46,
+    0xdfedf165, 0x8f85ae69, 0x9525cf58, 0x909f4a09, 0x64c11944, 0xd196e074, 0xf5cbc1d1, 0x27abd176,
+    0xe4ee119d, 0x71a1783e, 0x42075a09, 0x38e67992, 0x205dea45, 0x5cbb3135, 0x3b019f17, 0xd6ae399e,
+    0x6d1199ef, 0x7c5524a0, 0x7e06d59f, 0x84e137e0, 0x44fbb378, 0x032b3fad, 0x294a75e5, 0x69fe6dbb,
+    0x8c6344e6, 0x04174e5b, 0xd338dce5, 0x846de442, 0xb6c16bb3, 0x106c4441, 0xa6f4e30a, 0x52dc0d0b,
+    0x8b25160f, 0xdb2eff46, 0x39c82c31, 0x3a9d1286, 0x1ed418d8, 0x1097926c, 0xf74582eb, 0xbc98e2a3,
+    0x5da0c40b, 0xc9997e03, 0xdd25341e, 0x83a1cd77, 0x4e7e6ec3, 0x09948243, 0x7faac8f2, 0x0254a2ac,
+    0x9ed52f13, 0x624f2245, 0x6b1c5ac0, 0x4681759a, 0x540dc553, 0xf772d361, 0xa4f8856e, 0x59f54169,
+    0xd17c9671, 0xac34c34e, 0x2b4fbaf8, 0xd1814f9b, 0xe18b5eff, 0x69cd23df, 0x06195e57, 0xc76b151f,
+    0x514c7756, 0x8b0a2e07, 0x8df6c565, 0xe1997a49, 0xc42c197b, 0x918a2e69, 0x21a97c08, 0xe09ae1a4,
+    0xd3925a90, 0x3d10e27c, 0x3ea68429, 0xd9f56068, 0x7ab4ba0b, 0xd05ae19b, 0xb80880cc, 0x020d4942,
+    0x792cd43c, 0xb6ff4ba1, 0x62b14377, 0x00339b5f, 0x2d97f123, 0xe301b13d, 0x09562bc0, 0x75215afe,
+    0x3adba3b3, 0x29b2c8e2, 0xd4c765d0, 0x484710b1, 0x21ea3c4c, 0xd44a6b00, 0x480fb9a9, 0x403ec807,
+    0xfb555d64, 0x7a085f65, 0xa413ee45, 0x7e6c080e, 0x33250cf4, 0xd859dfab, 0x227e316f, 0xbbb552e7,
+    0x96863a19, 0xb7f004df, 0x88f12572, 0xe45ca6bf, 0xbe4295b4, 0xf4896442, 0xb3e29ee1, 0x26b4d302,
+    0xa68b6064, 0x488ee464, 0x0a7c97c2, 0x95788c91, 0x9601ced7, 0x70c296cf, 0xa5a36e00, 0x6d5196b1,
+    0xd9b56409, 0xbeb02e91, 0xb85a0381, 0x7db19f54, 0x8ed8c282, 0x79c907cb, 0xe2916f20, 0x297fcb76,
+    0x13b1c1f7, 0x24cd17e5, 0xe966c6f6, 0x3b944121, 0xdc504422, 0xadda2625, 0x5e6bc05c, 0x4cf30a98,
+    0x002d119d, 0x6b7962f5, 0xfff324a5, 0x4053e947, 0x2c895add, 0x61a45cb9, 0x3288d25a, 0x8e4ab2d9,
+    0x48821370, 0x3b4b504d, 0x516e1790, 0x46268bf6, 0x94abeb9f, 0x639ffd13, 0x9ab5f245, 0x20c1b7e2,
+    0x9c3de696, 0x286542cf, 0xe0648e04, 0xe061ac03, 0xef3a9056, 0xf931852e, 0x050d5652, 0xd4f3d757,
+    0x168a020c, 0xdb870f32, 0xcc7af654, 0x46239b18, 0x4de6bbf9, 0xc6c34f67, 0xfec57540, 0x0f47963f,
+    0xafcc48ca, 0x4b9ee1ca, 0xccc3a7de, 0x3d8ce4b6, 0x0217063a, 0xb6000c36, 0x129c58ee, 0x67e85bfa,
+    0x8f0d83df, 0x9146d09b, 0x56b6a7ce, 0xe761fcc4, 0x7d47ed50, 0x322873b8, 0xe3fe70f0, 0x985669f4,
+    0x67d9e72a, 0x58e591da, 0xa25bfd94, 0xa8b12501, 0xf27ff66e, 0xc266b239, 0x6fa17e51, 0x6eab5ab8,
+    0x9f00e138, 0x2145a763, 0x420d9af8, 0xe52562b6, 0xeb707bcc, 0xae0c2c35, 0xe8d74886, 0x983333f5,
+    0xe5ee66e3, 0x77fcc03c, 0x89f278de, 0x8216b1ff, 0x8fa651eb, 0x6e1ac679, 0x594e030b, 0xbd858425,
+    0xe68bea60, 0x1f8814ca, 0x38ed57d4, 0xcde4eed9, 0xff9d421d, 0x749e247f, 0xa6a34739, 0x773cc10d,
+    0x7f529a02, 0xecf89123, 0x46c1147f, 0x47575d65, 0x9f97843d, 0x33dfb17c, 0x8421729c, 0x1df0e57a,
+    0x4eac78ae, 0xf0507c48, 0x2a87a612, 0x2c3646fe, 0xb0bc130b, 0x0dc58403, 0x64d29571, 0xf5828c87,
+    0x0593ec50, 0xe06d90bf, 0x73f2fe08, 0x964184eb, 0x71a28f9a, 0xe1a6cfea, 0x031c6d50, 0x8055dc7a,
+    0xe68778fa, 0x05c9e796, 0xec4a6464, 0x8da10842, 0xf0a097bc, 0x552b57a1, 0x99374397, 0x101d9419,
+    0xa00bdc4c, 0xf82897f2, 0x22141c74, 0xa0c1947c, 0x0a637df4, 0x2496efd7, 0xac3499ca, 0xeb894736,
+    0x0d90cb41, 0xa0dd3f3f, 0x7e1062b1, 0x02e1171e, 0xccf175e0, 0xa5cd6111, 0x8f2ef60c, 0xf5983b59,
+    0x84ab160e, 0xff3471cd, 0x98a8ca31, 0x219adf61, 0xa815c10d, 0x5812949b, 0x93716c69, 0x9185ad54,
+    0xf9396132, 0xbc8b1288, 0x126edad5, 0x0df36415, 0xbb56ac9d, 0x4c792c70, 0x7418f5d5, 0xd780d4da,
+    0x533995d4, 0xad28509e, 0xad9f2bdd, 0xf5cdd1a0, 0x626973d4, 0x6213054b, 0xb7c48a70, 0xc291b50e,
+    0x89985579, 0x18cd27ac, 0x4b7a0e6e, 0xd77e4002, 0x89cd1885, 0x6bd7aaef, 0x6a1a70af, 0x92c134e9,
+    0xfdb31847, 0x2ce8ee49, 0xd816a220, 0xc694a772, 0x7d2f330f, 0xa517839d, 0x2f034aff, 0x4ee125ff,
+    0xdbabb87f, 0xb210e391, 0xc16237bc, 0x8ab789e4, 0xd6290f1b, 0xa9becc79, 0x8c24beaf, 0x61968480,
+    0xe44c0932, 0xd7e883f8, 0xd1a40b43, 0x13a54394, 0xed3d3fca, 0x8c1c5dff, 0x59685e32, 0x96199cfe,
+    0xc1ce46bf, 0xa857c6f7, 0x2b7fbcef, 0xfb4869af, 0xdc8f5384, 0xc0f951cc, 0x9e385cf4, 0x4241aae1,
+    0x79bd0a34, 0xf8ef4352, 0xa3882230, 0x1dc33697, 0xb23a9b9c, 0xc1a30d43, 0x2fd6bb07, 0x3b32474d,
+    0x16181e0b, 0x35eb74a0, 0xb5d79962, 0x286e439c, 0x10b570b1, 0xd6f2b650, 0x6b172875, 0x693d5e9e,
+    0xeb2e7da9, 0x17789270, 0x078d49b2, 0x512b218f, 0xe28523b6, 0xb228ec3e, 0xdef65b43, 0x7ab9fcfd,
+    0x24be09ff, 0x8d21cb67, 0x55ca1def, 0xba806d3f, 0xbb6a5a8f, 0x81e8fd63, 0x6ee8969f, 0x3a5cc04a,
+    0x4bc39568, 0xb923349a, 0xd6d361ca, 0x2c281464, 0xac7cbad1, 0xf0204a47, 0x855bf521, 0x9b8c7fd5,
+    0x24bedecd, 0x85e3b4a3, 0xe46b9361, 0x8898d5e0, 0x60829f41, 0x5ad0ac7e, 0x4d0e28be, 0x082c056e,
+    0xbff96a9c, 0xe7ca1acc, 0x9f1b6f9b, 0x453a52b5, 0x09caab2a, 0xf01f8e59, 0x9f3d43b8, 0x801c4b8c,
+    0x480a232e, 0xaaeecf0e, 0xed85ffd4, 0x690a88fe, 0xf8517493, 0xc5b16d97, 0xe48b990d, 0x82eda5cb,
+    0x46c0847a, 0xec138e6f, 0x35d56ed6, 0x6f14a084, 0xf7be8f62, 0xb903b851, 0x99986d6d, 0x544d0f3a,
+    0x81a36685, 0x97bd3b75, 0x99b24ef6, 0xd3b482b6, 0x30ec9278, 0x8e08cf4a, 0xbedbd143, 0xf3812f87,
+    0x19388bd6, 0x49b94944, 0x7311c10c, 0x532e20aa, 0x8073c82f, 0xfeb6b0a0, 0x4465d357, 0x85da3e66,
+    0x4b35c9ad, 0x967aefe9, 0x8be709c5, 0x5fcfc9a0, 0x1bbedf55, 0xc56d962e, 0x5279abd8, 0xb913524d,
+    0x27044735, 0xa36db414, 0x07aa31d6, 0x3a7f3c92, 0x12d85a49, 0xeac612c1, 0x5ddc6413, 0x43203172,
+    0x7ef3adb5, 0x1a876ae3, 0xf4a89776, 0xae0554a5, 0x716d3341, 0x93b774b4, 0x0295e4ee, 0x291e2999,
+    0x8d30b88d, 0xb4d878a5, 0x73eaa2b2, 0x7bcb0baa, 0xf4890f3f, 0x1bf0f7d6, 0xfd23785d, 0x84b994fe,
+    0xc9a02e0e, 0x5226f5b2, 0x79bbff53, 0x14ef3463, 0xef9d6279, 0xc2958137, 0xe29e92c4, 0xd55dd305,
+    0x62f4a32f, 0x8e8d51cb, 0x755b8903, 0x1572b64d, 0xc9ba5304, 0xfb3b0d50, 0x8eff6029, 0xe96ab726,
+    0xe47a99c8, 0x7849bcb2, 0x5a286378, 0xfeee1213, 0x5086dd14, 0xbb616d9a, 0x7fc094c2, 0x7761c92b,
+    0x26cc706e, 0x75d69d19, 0x5f42cce0, 0x080a5c5f, 0x759d680a, 0xe39fc4ea, 0xc32f9fcf, 0x8bab9cc8,
+    0x66ed9890, 0xab1f695f, 0x2e439e69, 0xc7ea1cad, 0x7e31ff5f, 0x10d300f4, 0x99c92a71, 0x23fb0957,
+    0x54868c70, 0x449fb2f0, 0x1c2dfafa, 0x445749ac, 0xd4f424ec, 0x222ba6eb, 0xa9f3709c, 0x6cd08482,
+    0x978d7666, 0x0b647357, 0xaecae967, 0x6908a484, 0xc77d2942, 0x30da76d0, 0xdbc5a90b, 0x226ba5d7,
+    0x25301e3e, 0xe32a3cfc, 0x5ce1ff48, 0x64751cae, 0x36fa0d13, 0x7f0d96a1, 0x0643fb1c, 0x248189c7,
+    0xf8fef794, 0xfe17f78c, 0x21639e92, 0xcc307814, 0xba95feff, 0x57a80bd9, 0x97ada85c, 0xfbd2f9d1,
+    0x453a005d, 0xed919c5f, 0xf8144137, 0x3283f9e4, 0xb0ae6ae2, 0xd6c1a9d4, 0x99ac326e, 0x3ef6695d,
+    0x47757ff9, 0x1e4b73dd, 0x2446cd39, 0x8171d39d, 0xc88a87fc, 0xa275ec91, 0x8ec62ca3, 0x8d3a9fe1,
+    0x379fdfbc, 0x11612021, 0x5bb2897e, 0x7e9084de, 0x867d9f5c, 0x8eb570f9, 0x784765ee, 0x4ecddef2,
+    0x0e9e5522, 0xde528988, 0xe792e83b, 0x707b1257, 0x4688621d, 0x19b24792, 0x31cd18cc, 0x57e31c77,
+    0xe6135e98, 0xf36f6149, 0xcdfd20bf, 0xfd9c6c59, 0xebeb3db9, 0x0ef1c9cf, 0x64d84b06, 0xd6addb61,
+    0x7a73272a, 0x098154bd, 0x36d2a938, 0x4ede0598, 0x4d48fb7a, 0x07b81fd6, 0xf143e238, 0x4544d71f,
+    0x53ac8b74, 0xb1d906c4, 0xd36677ee, 0xde474ade, 0x4a9ade41, 0x01341572, 0xccd4477e, 0xd4788751,
+    0x3c250b62, 0x1931952e, 0x47da215f, 0x83840383, 0xe490b8cf, 0x8a55e8a4, 0x39b627ad, 0xc4943f02,
+    0x3bd1fcfd, 0xe0232c6e, 0x47c99449, 0x14332529, 0x799361a3, 0x97b15bb8, 0x34e1f53b, 0xf068908f,
+    0xd435978c, 0x7c4f6a74, 0xb21a84a4, 0x292d2205, 0xe27966d3, 0xcef29008, 0x2fd2b174, 0x9d38ff19,
+    0x05f979f2, 0x00e0c711, 0xa54bcf51, 0x6acb559a, 0xce7da332, 0x797c9a81, 0xee7af4f3, 0x0a07a047,
+    0xfed5d1b0, 0x5759728b, 0xd274be03, 0x1a324235, 0x8c6e2266, 0x10c517fb, 0xc93c8c6c, 0x3196764d,
+    0xd0ebff43, 0x5f530351, 0x7e296283, 0x581ebbaa, 0x7202ff54, 0x238597df, 0xee42dc64, 0x987d203c,
+    0xe5488171, 0x5954f5d1, 0x088a2a9d, 0x252360bb, 0xb49226ff, 0xdd6186ca, 0x6e1a14de, 0xd66ceb32,
+    0xfc6ba1b7, 0xbbad3b3a, 0x4793d9a1, 0x61b951c7, 0xa6d8f53b, 0x21c0a4ec, 0xfeffc964, 0x4f544d1e,
+    0x1405bbc8, 0xb12ec6a2, 0x63e116ff, 0x02748ead, 0x6b0aad86, 0xbefe0fc8, 0xad19b58c, 0x76c7bf20,
+    0xc8728c1c, 0xe5a299ea, 0x0c34d465, 0x3a4bcc45, 0x408e22a8, 0x1b68efad, 0x4b14347a, 0x793a2b79,
+    0xfc921917, 0x7b19e465, 0x21302c8d, 0xef0328d9, 0x731ec9a2, 0x0703ed67, 0x2cb615ba, 0x47f302dd,
+    0xfc8a1dff, 0xaa4fc7da, 0xa00a6212, 0x99000ce6, 0x45e8dad5, 0x10fb58da, 0x3992e5d7, 0xf46f7f85,
+    0x87b319de, 0x1f41ec78, 0xcc0d43c4, 0x6bb378bc, 0xdedf5439, 0xe389415f, 0xac846c92, 0x9849bd5f,
+    0x00000000,
+    0xb0a1af71, 0x5b1d685e, 0xd1f125f5, 0xf4eea8f9, 0xe833287e, 0x04173c2c, 0x748db564, 0xf1bd9d6a,
+    0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000013221119375804971979038306160655420796568093659\
+                         28562438569297590548811582472622691650378420879430569695182424050046716608512 */
+  { 0x00000000,
+    0xb6eed800, 0x77525af7, 0xa80e0fbf, 0x08715a41, 0xd5fe8013, 0xe10aef09, 0xb071a245, 0x058a8e9a,
+    0xea177c84, 0x807dfee9, 0x160cb051, 0x2d22cad3, 0xc22c082c, 0x32e2cca8, 0x5144396f, 0xbc77d928,
+    0xdd787074, 0x07e0c17e, 0x28a0567c, 0xbe03b938, 0x3af860fa, 0x58c2258d, 0x932a61c0, 0xb87ef567,
+    0xc1ec9f48, 0x4778b22e, 0x184d3957, 0x0cb80f6b, 0x2186b7c2, 0x575ac51a, 0x877680c7, 0x2015d8fb,
+    0x615f15b2, 0x7cc32c24, 0x4a9c82c2, 0x7d268a75, 0xe9d65300, 0x4c828a9e, 0xd6c94193, 0xe7f4dc97,
+    0x8e6ecbbf, 0xb833146e, 0xf9231962, 0x9a5b183a, 0x1e55ebcf, 0xbf123c37, 0x4d033b00, 0x4c36da5f,
+    0x6bd5fe6e, 0x6341a5da, 0x107223e1, 0xda784dca, 0x70008b71, 0xb4af3a82, 0x69508bea, 0x8a7f8812,
+    0x6471f274, 0x9dc6f9ea, 0x4cd9f309, 0x1a067365, 0x1c8dac22, 0x2f772dc3, 0xd1a895d7, 0xf2026ea0,
+    0x4050d492, 0x3bbd880e, 0x02ec80b7, 0x7ef3a827, 0xe35ad796, 0x250e8eb0, 0xc48d76bd, 0xc29e0b77,
+    0x1e1f67fb, 0x1c846569, 0xf7474401, 0x3ae5be68, 0x881d95de, 0xa6d97b7d, 0xa5f47cea, 0x793a167a,
+    0x67e60e9c, 0xa859b5a5, 0xaca6137b, 0xcc5aa5c1, 0x88d7c400, 0x04060010, 0xc190d51c, 0xb8e7d301,
+    0xcddd1fed, 0xa25f49f7, 0xb3ee40dc, 0x469bf9eb, 0xdff10ce4, 0x003ed7bc, 0xbc9db1e0, 0x62735e7e,
+    0xcd761e40, 0x598fb753, 0xb23e8490, 0x7007535a, 0x5cbce6b2, 0x87fe4542, 0x05e13fcb, 0x200fcf90,
+    0x13273233, 0x2dec674b, 0x9e8c5fc3, 0xed2c8ed1, 0xc2f1d2c7, 0x7b0b923d, 0xa0af9c6c, 0x9bb3d316,
+    0x5a40f81a, 0x9b70e72f, 0x6fa0d27f, 0xf2736d36, 0x66a6223c, 0x6bbd5eaa, 0x22f7f0f5, 0x18a1fdcd,
+    0x39dba62a, 0xdfc03b81, 0xe98c3175, 0x212277c1, 0xb1e95fee, 0x7f8d20fe, 0x8b979ddf, 0x983a251b,
+    0xd4c2eb41, 0x094be3e1, 0xbeb854fa, 0x28a59e88, 0x9b082f16, 0x2284c4ab, 0x7863edd5, 0x85571982,
+    0xb0a970c9, 0x8f513fc1, 0xa96bde57, 0xd198ed81, 0xdc148c35, 0x223001bb, 0x89fee8a1, 0x1b217851,
+    0x0d405ded, 0xba0739cf, 0x2cd41b5d, 0xe9131dce, 0x2cda28e4, 0x0ee1f3f0, 0xe7bf4f61, 0xc8169844,
+    0x9253ce67, 0x5a79f8fb, 0xdc82ebbc, 0x748b7d65, 0x0b8c3aaf, 0x83c6465b, 0x4cd5b654, 0x763826cb,
+    0x1f9cf65b, 0x633e313e, 0x25ded35b, 0xe6f14e49, 0x933e8446, 0x114e3e3b, 0x9414a1fb, 0x028ee06c,
+    0x2643d557, 0xe38f4065, 0x2b97218f, 0xf664028b, 0x7d4d9d57, 0x2b6a1f00, 0x25985e7d, 0x5514ecbb,
+    0x1517c236, 0x72b2a238, 0x61607312, 0x57fa8993, 0x5c8fda95, 0x996611ed, 0x61866ca2, 0xd4992c77,
+    0x1cd1c50c, 0x7db2c443, 0x29871495, 0xc0c631cc, 0x67e3d52f, 0xdbe3a53f, 0x177d4b55, 0x8a3e84c9,
+    0x465fd7ba, 0x2fd5bdfc, 0x10023ea2, 0xeaf8c3f0, 0x5e08ba52, 0x625e5e5e, 0xac7c2801, 0xd1ae1892,
+    0x2d943d84, 0x9318d2a0, 0xc82a690b, 0xb1a1c96a, 0x7becc0c3, 0x3cdefa11, 0xf8554eef, 0x0beba8c9,
+    0xdd7aa71f, 0x3029b1b2, 0x8c8af768, 0x40463599, 0x06b80122, 0x08ca6da7, 0x42b1d3c1, 0x0fec81fd,
+    0x8e221c42, 0x53276eb7, 0xcf1713eb, 0x2db2aac5, 0x00347b7a, 0x96062ec3, 0x210bd4be, 0xbc41141f,
+    0x826b2607, 0x0d4acd8a, 0x6a553374, 0xb9001304, 0xe84dbc34, 0xf50249be, 0x0104789a, 0x41111e92,
+    0x4eb02ca3, 0x4dfbfd52, 0x78062cc4, 0x08584e85, 0xf76de81f, 0x91c9d769, 0x52769a30, 0x66c7e8d6,
+    0x3102b501, 0x99dd29f9, 0x2445caa7, 0x3070de36, 0x40222138, 0xb0af2b38, 0xc86b9c97, 0xa52ce40d,
+    0xeb8e8cd7, 0xf99cad09, 0x477070af, 0x9483f36c, 0x445da419, 0x69db6d39, 0x22b4c485, 0x376bf8ba,
+    0x2be984a5, 0x07e72ba6, 0x1631b271, 0x284b3c9f, 0xdfbb631d, 0x9a001ef2, 0xc9baf55e, 0xb8f31018,
+    0x22abfea8, 0x9169b303, 0x1ac5d8c4, 0x524b5035, 0xda3f04cc, 0x07d10cd6, 0x41f1a4c7, 0xf39ef1e5,
+    0x5528f645, 0x54571b80, 0xd5b59da5, 0x6235c4cd, 0xe820ec95, 0x3ec5eb5b, 0x1ee2c9f6, 0xb018a544,
+    0x2b1ae338, 0x83a23368, 0xc7e2115f, 0x7aa4381d, 0x88d369ff, 0xdc18a617, 0x809802a4, 0x8249907f,
+    0x5b0288ae, 0xb48c613b, 0x7caab580, 0x01bb8271, 0xd43ec00e, 0x6f6397b2, 0x682d45bf, 0x89d1dbe2,
+    0x1a4c8d56, 0xc8fed76d, 0x8839bc07, 0xee7e9820, 0x94cd063f, 0x7b13bc51, 0x6df48851, 0x29b59d35,
+    0xa4d413fa, 0x90074f9b, 0x4fc325f7, 0x070b7759, 0xe75bf39b, 0x4fcad2ee, 0x8071ecc0, 0xe2626d45,
+    0x49f8fd38, 0x69b31b92, 0x8f9cccad, 0x916c6f99, 0x9a692f0f, 0xafff2bbb, 0x5fc0c459, 0x52663f0f,
+    0x1e56725f, 0xf143b1db, 0x01271f62, 0x07568187, 0x07a0201d, 0xc6d53f6f, 0xe42f171e, 0x663795ac,
+    0x15911703, 0x437e5305, 0x3eff3fbd, 0xf4b8818b, 0x696b308d, 0x100f3d60, 0xd48f2711, 0x170b4ac8,
+    0xe4a468dc, 0xd037d9df, 0x28d8281d, 0xb5bafa0e, 0xa138615a, 0x8989722b, 0x8dcdf534, 0x03222660,
+    0xe138e3ad, 0x8325090f, 0xc70dbb03, 0xf601d9c6, 0x1dcac96b, 0x3001803e, 0x1e804d7a, 0xae4b82af,
+    0xdae2a714, 0xd900d948, 0x6b26e163, 0xe337266f, 0x2d09cf63, 0x5428ce8c, 0x69de5f7b, 0x5df57b58,
+    0xd9e6ec2a, 0xbc2ea5f7, 0xe45f807b, 0x59af40eb, 0x3076ca2c, 0xd46e497f, 0xd97a09ce, 0xa3212e0d,
+    0xabecc27a, 0x3231bfce, 0x4cc6b86f, 0x79e5f345, 0x433d5644, 0x199eebad, 0x971ca0d9, 0x498e3f99,
+    0xb210232b, 0xb13e1dad, 0xa8193209, 0x0e8d6452, 0xffc5aedf, 0x1c67315b, 0xd9aecbc9, 0x5d6ad1fe,
+    0xa4c32c60, 0x0bb5e46c, 0xe165f533, 0x8de756db, 0x9babd251, 0xda42ddfe, 0x007f9fe0, 0x9387c549,
+    0x46862274, 0x1eda19a6, 0x6c0dcb3c, 0x4a5cf484, 0xde3413c9, 0xab71fbc3, 0x01cfa4a1, 0xfdb6884d,
+    0x0b92c87f, 0x3429f83f, 0xb6553e05, 0xa5a8b00d, 0xc818cb47, 0x6c09140a, 0xc8567565, 0xdab4b0a9,
+    0xef9382a2, 0x5c446bb2, 0xa5abe2c4, 0x0fe34036, 0x7bd6901b, 0xfe5f52f9, 0x85fdc0af, 0x538d466c,
+    0xe1a926c2, 0x5d2be3ba, 0x65c96af5, 0x7e677858, 0x78dcb674, 0x17cc3f69, 0x30f21e44, 0x06784751,
+    0xb4437555, 0x8859e2cd, 0x09479e3a, 0x51253d7c, 0x4a932bb0, 0x2c7d0f10, 0x1d0752fe, 0x31ae691b,
+    0x4c1887b7, 0xad1670b2, 0xba2de9fa, 0x10d441c2, 0x682a5a70, 0x0e9a9fd8, 0x4de3bb05, 0xa2acb9fb,
+    0x59ea51af, 0x7c9b9ce2, 0x0e4093b1, 0x20ed1a49, 0xf8758335, 0x71296928, 0x6f4f009f, 0xa44871a7,
+    0x71fa6552, 0x7078e2dc, 0x22493d74, 0xfe512043, 0x4ae4ee2f, 0xca937bb3, 0x3e110d4e, 0xde75731b,
+    0x6063f4d2, 0xadbfe868, 0x727456e1, 0x3cd59a17, 0x2f588e8f, 0x56295f79, 0xf7e89c05, 0x76766a34,
+    0xe9f78479, 0x0a48a616, 0x7a6c532d, 0x488de230, 0x346d155c, 0x7cb49d9d, 0x7ba6f132, 0xb223216d,
+    0xc1d4c31b, 0x9c8e8b43, 0x91ed6243, 0xf71dc2a4, 0x2b46948d, 0x57945b2d, 0xd2e29c51, 0xc7403604,
+    0x5f84306b, 0xd2430052, 0x95604ce8, 0xf8bb63fc, 0x0d40c942, 0x82f6a70c, 0x0723c9ed, 0xd5a155ed,
+    0x956ba462, 0xf1fb599c, 0x89000f99, 0x9eba8480, 0x6594e6cc, 0x242b0752, 0xa4353406, 0x23b79662,
+    0xc978d0ef, 0x77d880cb, 0x20886c67, 0x43492822, 0xe4d7017a, 0x7be5e215, 0x256475d7, 0x66a61e91,
+    0xe1747f28, 0x5bc49042, 0x2e893818, 0x2783a762, 0x0d05f6a3, 0x7f3f3ae4, 0x7f6b2369, 0x67c11f11,
+    0x07b4bb60, 0x0c91a91f, 0xe1872b6b, 0x763033eb, 0x98576017, 0x8e1b1a6e, 0xa88952f1, 0xbf319d72,
+    0x1b642cd8, 0xd4083a62, 0x8fd77014, 0xe87c8910, 0x6a4ae0dc, 0x0fd27d8e, 0x9faaf484, 0xf2ad1af8,
+    0x2a4c5117, 0xba0e032b, 0xf4d7987e, 0x6d0a2fc2, 0x45d629b0, 0x29333da7, 0x0e77b518, 0x8ada1bab,
+    0xba1df04d, 0x6c4244c6, 0xec5b7b90, 0x0a703e69, 0xec5bf17c, 0x0c1de8c2, 0x45d6e4a8, 0x134daa86,
+    0x93b267bf, 0x82f6c0fe, 0x26e0b659, 0x439b0295, 0xec280c48, 0xd5300c3b, 0x395ee5f2, 0xc3ee7e24,
+    0x0efa2782, 0x561f40e2, 0xf4f39b80, 0x98db65ea, 0x28895a75, 0x2e0ae9b2, 0xa612091b, 0x227e4bb6,
+    0xe099196c, 0xb8d60154, 0xe5d625ee, 0x16e5a391, 0xeaede582, 0x465c47f2, 0x82c2995b, 0x815e2ae6,
+    0xafd62782, 0xa85fec54, 0x34baa819, 0xa3d3c716, 0xf00703d4, 0x466cf0f5, 0x806cdfe9, 0xcd1c8e4c,
+    0x9d0fcd44, 0xaa29f521, 0x4f86b340, 0xbfdc1aba, 0x90cbb103, 0x7e0482a2, 0x22716621, 0x044b29c0,
+    0x1b87b0e5, 0x32fc3098, 0x11e34dc7, 0x27674ff1, 0xc4b6aecc, 0x4e52953f, 0x28c17d93, 0xfd2e4ab9,
+    0xcb670bde, 0xa4e4754c, 0x8074ddcc, 0xc1a0ed4d, 0x80ccd8f2, 0x85e2ab22, 0x69936f26, 0x28c11c35,
+    0x21218848, 0xd8adc216, 0xee2b08b4, 0x2265517a, 0x580d6364, 0x90a4b40a, 0x360bde37, 0xc3bfd62c,
+    0x7a2694e1, 0x3fe17819, 0x4070cbb4, 0xecb86d3b, 0xc18008f4, 0xc9e7e911, 0xc49a8535, 0xefc68d04,
+    0x4e9342cc, 0xa5d5fc64, 0xc001e0bc, 0x91315692, 0x98b1e341, 0x945f4f07, 0x8572266a, 0x42f265ec,
+    0xa2974aab, 0xf75cff90, 0xaf97caeb, 0x1b8cf018, 0x9b917e99, 0x5cfd7336, 0xb564a485, 0x1570823f,
+    0xccb50168, 0x049b5af8, 0x5b046170, 0x6cd40272, 0x96b3f5ae, 0x5021b727, 0x56773596, 0x070a4202,
+    0x4c664024, 0x15babd90, 0xca08ad84, 0x548a22e9, 0x966c7e62, 0x08435621, 0x8324065f, 0xc122ce97,
+    0xdd889f13, 0x1212f92d, 0x31a46dd9, 0x1c9d301f, 0x573a2500, 0xbbb7619c, 0xf7e50fe1, 0xcfdc3a57,
+    0x3db66620, 0xe9a84576, 0xe1c93aaf, 0xf7e663e4, 0x39b70c99, 0xf9bf0cd1, 0x794d1fba, 0xc89b68f9,
+    0xe1a54283, 0x25356ba8, 0x1068e46c, 0x811bc0a6, 0x7c4791ef, 0x7dd328cc, 0x9c3d077d, 0x41f4f6ab,
+    0xc8b4cc9e, 0x446f81d7, 0x96f279d5, 0xa3b09d4a, 0x76c9bdb0, 0x3b381cb2, 0x10820b47, 0xd33733e4,
+    0x4f43e096, 0xc620d3a8, 0xff369109, 0x4a867042, 0x60a782c5, 0x58c045ed, 0x1f969808, 0x44ee2a6d,
+    0xe698221f, 0xbd03b009, 0x08e4e0e8, 0x5fced2a8, 0x2aaf03d9, 0xbf001c3a, 0x675a54d4, 0x23a327d2,
+    0x4bf230bd, 0xf9f39838, 0xb6077b42, 0xaa9d1561, 0xf585fe32, 0x8f591986, 0x42658000, 0x66375721,
+    0xd4aac7bd, 0x81df6f94, 0x9ab37e6e, 0x973ca616, 0xe507bf4a, 0x929d3262, 0xfcfcfca4, 0x622152eb,
+    0x1c1f0772, 0xb15da69d, 0x8ec5b903, 0x77932e71, 0xbc66e070, 0xa1d6222f, 0xfda7e7dd, 0x8d9bb56a,
+    0xfa754c13, 0x8e36bed5, 0x3ed5e90b, 0x375d4b77, 0x213d845f, 0xc4c33b0f, 0x5ed286a9, 0xf850b592,
+    0xf5228065, 0x5d2c700b, 0x17925743, 0x4af5dbed, 0x736553ec, 0x60e2cc2f, 0xc16d1581, 0xabd4c3ca,
+    0xc5fe9b1f, 0x0b7cdcc4, 0x65cf58be, 0xc1b0605b, 0x9638a78f, 0x932b18d1, 0xe9b54826, 0xe6999472,
+    0xa4624396, 0xc1a2b8e6, 0x395c4fe8, 0xfc5aeea8, 0x368e2873, 0x217c2130, 0x046e5bc5, 0xb46c7e3a,
+    0x8e80da91, 0xf37d0679, 0x3ab71e76, 0xe6513bc6, 0xf9bb62d3, 0x0562a7d2, 0x5d9ac160, 0x8729ba9a,
+    0x82886673, 0xaa9303ab, 0x8b25f053, 0x4c60eb35, 0x1e700b2c, 0x438fad99, 0xb014e9d0, 0xa56ac33d,
+    0xd875b303, 0x49a8c189, 0x6a36e54d, 0xc377df95, 0xa7784238, 0x348ddf40, 0x82abcf88, 0x1e0805e1,
+    0xdc1316fa, 0xa206b9df, 0x44e90620, 0x72c0ba6d, 0xa58de819, 0xee7812e8, 0x24e4a404, 0xf4cf2892,
+    0x532c8b76, 0x2ccb1240, 0x01e72ffc, 0x8e4e5d65, 0xe9d08b63, 0x2341a028, 0xd2a3720a, 0x87037151,
+    0x2afea367, 0xaeca6818, 0x607bfead, 0x556e9355, 0x5121f5da, 0x72dda88a, 0x528b827b, 0xeaf0d4bf,
+    0x962f0f78, 0x8eb6ef57, 0x0d59aba1, 0x93f73c15, 0xc41bf767, 0xd6282801, 0x323730b3, 0x9edf2229,
+    0x6b807c79, 0x91472851, 0x6f029d28, 0x98d13c8c, 0x0f75236d, 0xbc056e61, 0x01294dcb, 0x94ee34b5,
+    0x896ebf04, 0xae0bdd51, 0x9a949887, 0x75778679, 0x84bb0a58, 0xfed6b6cd, 0x4435971b, 0xc344141d,
+    0x675f118f, 0x981c1cf4, 0xe017bad0, 0x3bed3bbd, 0x915a67eb, 0x4017f5cf, 0x86bb8c11, 0xaec8a8e1,
+    0xb6af135b, 0xd198747e, 0xb0a0b9e2, 0x1ca1f490, 0x8492d5b8, 0xd7a91a98, 0x31c0bb5c, 0x3d524b40,
+    0x1b76ef70, 0xc02ae3a7, 0x67f40bf1, 0x43056804, 0x1d80d16f, 0xd1ad1e0f, 0x14ee8647, 0x7614b567,
+    0xea105dee, 0x1abce32b, 0x384b384e, 0x94426bfe, 0x856da7cd, 0x6668d42a, 0x6bbeb4ee, 0x1b41e4ea,
+    0x7d310442, 0xc75a7e8b, 0x6c005964, 0x5e29d5a7, 0x13083b18, 0x2e309091, 0xbe198aaf, 0x6cc46dc9,
+    0x53d6ea2b, 0x607f1210, 0x4797d119, 0xe8349cdf, 0x6e2e692a, 0x0f111d3e, 0x0adc9495, 0x913850f4,
+    0xc63fb8fd, 0x4718e11c, 0x07b758f4, 0xc6d76b30, 0x1df9c2f8, 0x584b9296, 0xe4f85924, 0x641cfef4,
+    0xd5c5c0dc, 0x28292b41, 0xc5f109a0, 0xc1328feb, 0x77e57a5a, 0x0c7809d8, 0x59fe9e0f, 0x3d9ea823,
+    0x5b2580b2, 0x1ed7ee6b, 0xebd1dd7d, 0x8d548edd, 0x2c88c3cf, 0x6ef36383, 0x8ac77d9f, 0x2d6a2b60,
+    0x48d3b93c, 0x0732a1fb, 0x78340cc0, 0x6a4f1379, 0x333077b9, 0xa0ec4c3d, 0x5cdad23d, 0x6dfbb433,
+    0xd9cf710a, 0x4eb11dc3, 0x4d8146f0, 0x76e48f46, 0xa21b6e7b, 0x33e1b656, 0x54fdf4fc, 0x30269edc,
+    0xf8cb509c, 0x928da91d, 0x4085c8aa, 0x50de78e6, 0x98a30ba5, 0xe8c03872, 0x050b27a0, 0xf693029c,
+    0x8596bc86, 0xc4d8236d, 0x8b53aa4e, 0xdd96fddd, 0xa894688b, 0xabf74796, 0x624b19db, 0x8096e79b,
+    0xbb632d59, 0x7ad5fedd, 0xda91ddf6, 0x01ba8b78, 0x13bf1f4d, 0xc58d8522, 0xb62b049f, 0x9f8e1a6b,
+    0xd792d1a1, 0x19513ce3, 0x2f7b9410, 0xe5fce6e1, 0x5731e9f3, 0xa6c73b15, 0x498b89a2, 0x96431864,
+    0x834889a6, 0xa512d31f, 0xbe265629, 0x26d2254a, 0xae67e842, 0x6e2db416, 0x4d928d27, 0x432a87b5,
+    0x9a5e5ac1, 0x74d8a319, 0x2ccd39ac, 0x2d1d6e20, 0xa33eace9, 0xe2067ce3, 0x5dd38fa9, 0x34cfef8a,
+    0xcf1d936b, 0xc73a9ce4, 0x7c4b9a33, 0x3b7acb48, 0xa1adf478, 0x4c019480, 0x9e6eb6c8, 0xa30694d7,
+    0xec432e62, 0xfe4cb17c, 0x6bdcf052, 0x8bedba30, 0x1a17a70a, 0x0e33e903, 0x5689f519, 0x7a5ac173,
+    0xc470206a, 0x41d90025, 0x47fc0af7, 0x222105d2, 0xa4c175df, 0x416e9124, 0x872de30d, 0x58e6fb43,
+    0x01b2166e, 0x72839e98, 0x57902286, 0xa9f48588, 0x0f52fd2c, 0x789c4125, 0x3bd48c52, 0x4f866a41,
+    0x43034e43, 0xa88c2157, 0x2fcc981a, 0x9bd403c6, 0x9f13b252, 0x76e8004e, 0x25d3e7d9, 0x10f50198,
+    0x4ec3b9a4, 0x0633d5ef, 0x61e6c7bb, 0xd9c20b29, 0xa31b88da, 0x7f300b13, 0x1bce2404, 0x8b9deb12,
+    0x00000000,
+    0x5850d7b8, 0xad8eb42f, 0xe8f892fa, 0x7a77547c, 0x7419943f, 0x020b9e16, 0x3a46dab2, 0xf8deceb5,
+    0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000006610559687902485989519153080327710398284046829\
+                         64281219284648795274405791236311345825189210439715284847591212025023358304256 */
+  { 0x00000000,
+    0xfbf7bc58, 0xea89479e, 0xc591c930, 0x2d0ec64e, 0x2d167252, 0xcb24960d, 0x68e5fa7e, 0xf0b04565,
+    0xcffd6782, 0xf2ea8de6, 0x510ecd89, 0x56df8624, 0xade79d68, 0xdc6dbe90, 0xfde074cd, 0x85a8636a,
+    0x8447dd28, 0x1051dc4f, 0x6d35013e, 0xa7dcc856, 0xd710e292, 0xac39553a, 0x6aaba677, 0x6067200c,
+    0x54376648, 0xa3ffd82a, 0x46e03327, 0xecc73b02, 0xedda5b53, 0x6ad72081, 0xef5f0446, 0x0785ff91,
+    0x765f664c, 0x6299e17e, 0x0331d4fe, 0x0dabb77c, 0x550b8828, 0x77d72ab3, 0x6cbf9301, 0xab43e4f2,
+    0xf01aec38, 0xb1fbb3c0, 0x96314108, 0x9c75e803, 0x4b33ca42, 0x96648254, 0x1f0a3560, 0x5b98de79,
+    0xb047caa2, 0x1d479ceb, 0x0c4f281d, 0x0b4659ab, 0x5fa3ee22, 0xa62094e6, 0xba0ec107, 0xa80affdf,
+    0x37b5d806, 0xf2936be7, 0x8e467da9, 0x7a781d1e, 0xb82ed0db, 0x1fd46a6f, 0x465f41a5, 0x06cd4b79,
+    0x3612ebd4, 0x5300984b, 0xb92a9274, 0x94d7c9ea, 0x192ec1de, 0x6204f573, 0x5be21385, 0x593b42fa,
+    0x6e392adf, 0xac4988b0, 0x8d601fdb, 0x81020f6e, 0x5c91fcea, 0xf38d800a, 0x91292153, 0x4149b3a8,
+    0x7324f154, 0x4c007736, 0x2841d6df, 0x912513ad, 0x277af7cc, 0x262ea912, 0x6305aa5a, 0x2047bb81,
+    0x18882f03, 0xdee1a463, 0x2e733dd8, 0x2aeecb18, 0x57dde985, 0xbe14ed8f, 0x7459f7b5, 0xde3c1d0c,
+    0xb679988d, 0xa6942d07, 0x0e9a5efa, 0xc21174ae, 0x445500fe, 0x9085a123, 0x8399df2b, 0x9c9d80bc,
+    0xbd61cc76, 0x90b98d69, 0x677a5d08, 0xf1107fc9, 0x5c312c0f, 0x947784d3, 0x27762da9, 0xcf12e3d1,
+    0xdb1a1138, 0xbdb5e451, 0x2193a8b3, 0x602988d7, 0xbe067a8c, 0xf13904f2, 0x3bbcf605, 0x716a885f,
+    0x7eddf38f, 0xb22a7cee, 0xb40703bf, 0x6d8868d4, 0x75ced554, 0x4991c829, 0x84c0220d, 0x22342238,
+    0x2d397300, 0xd2af154d, 0x1b831af3, 0x50c632d4, 0x1b2b95df, 0x0e4674a9, 0xec9cf3da, 0x939809d0,
+    0xc9d636fa, 0x6f80ad04, 0x9f1ac331, 0x535183f6, 0xe1650b3a, 0xa964ede8, 0xed928fed, 0x2c238a44,
+    0x7b40f8d2, 0xbb463644, 0x3345a82c, 0xe7688d3b, 0x89ff89e0, 0x99f02a04, 0x7f4e6333, 0xf94777f1,
+    0x7a892984, 0xa8673849, 0xd7801421, 0x6e8fd64d, 0xb47e289f, 0xfdee21fa, 0x8971668a, 0x2706431d,
+    0x3b1f1247, 0xeaa7bebb, 0x68e89607, 0xc57492b4, 0x6b28cfd3, 0xf022f3fb, 0xf952ccc1, 0x5408a51b,
+    0xca945e07, 0xd4c9f375, 0x029a3f4b, 0x33dd7c84, 0xbed8d0d5, 0x803f3899, 0x91914582, 0xe5a46717,
+    0x02f2bda2, 0xae5336ca, 0x29c4629e, 0x0cdce563, 0x20ce1726, 0xc4eab6d7, 0xb5ca683b, 0xbf1cfc65,
+    0x88fdf20c, 0xae19caca, 0xa5960ec6, 0xe9209140, 0x726f8190, 0x04c715d0, 0xa5c6a687, 0xed77c88b,
+    0x18968e35, 0xffd4471d, 0x59d64a0b, 0xc9e70619, 0xa1d8e3b0, 0x54a3d8ac, 0x44788ae0, 0x70fa50e9,
+    0xbc0672d6, 0x7136af7d, 0x954c7b85, 0x98012d14, 0xa34351e8, 0x21ea71f8, 0x0902406a, 0x71fac7ec,
+    0x62b474ce, 0x5c5f66e6, 0xfd79d52c, 0x9717f880, 0x2539ee86, 0xe666f931, 0x531589f9, 0xe0fb849d,
+    0x78518cf7, 0x65016d4c, 0xc9a0cbfd, 0x28b2b269, 0xb3e5514a, 0xd48c0cdb, 0x3320cf85, 0x1a84d5e2,
+    0x97ac60ac, 0x81289966, 0x374edf3f, 0x8092e46e, 0xcb10967d, 0x3cb646de, 0xff89fcf9, 0xf184aa00,
+    0x9049e839, 0x5eb24f7f, 0x02791c5b, 0x7beb5cd2, 0x06d91a34, 0x560c8ede, 0xe682cdf3, 0xa44b3c6c,
+    0x15a498e6, 0x56ed6c86, 0xcec8dc2f, 0x22e10db8, 0x2cf19b90, 0x156e67b8, 0x37378d69, 0x8d5c4b32,
+    0x073ef72b, 0xffbfcaa0, 0x859c5398, 0xf548817a, 0x8a795763, 0xc4e925ca, 0xb59fef2a, 0xf6c1c8e1,
+    0x44bc968e, 0x10166898, 0x59e141bf, 0x40e95fce, 0x86a9b6a3, 0xc30ce4ab, 0x8468b632, 0xaea9870b,
+    0xb542bc30, 0xcac7f8f7, 0x8d95a204, 0x91d6a738, 0xf1b47acf, 0x383d43d9, 0x3ba37bb8, 0x7e117def,
+    0x0700bd39, 0x03c79f01, 0xa91f541c, 0xde94a3bf, 0xc4a5f7db, 0x90363f81, 0xac953255, 0xb414b8f2,
+    0x3707f7d7, 0xda4bf736, 0xc56fb018, 0x102aa77a, 0xc34f79f8, 0x6ad88790, 0x41cf66ab, 0xfedb1f5f,
+    0xb1cd4e45, 0x1cb6ee65, 0x0ee95d44, 0x4837dfb7, 0x68f0c991, 0x9b5d05bf, 0xf7800a44, 0xc4e87463,
+    0x1438ebcb, 0x67c3e784, 0x69c4f87d, 0x683c08dd, 0x71fe5b86, 0x008b2afb, 0x607de698, 0x4483a64a,
+    0x0560b503, 0xe74d61da, 0x5330cf40, 0x456d203b, 0xf10ebf97, 0x155cc564, 0x4c7a800b, 0x2dbf8091,
+    0x1d2ce0a5, 0x555935a3, 0xce8a5b1e, 0x77217796, 0xa2ee6629, 0x72587d5f, 0x594ff462, 0xfd9f286a,
+    0xeca574bc, 0x725fb07a, 0x1085da81, 0xc861c275, 0x1ea72375, 0x781dd1bd, 0xf5eb391d, 0xb5511728,
+    0xac23a2cf, 0xa8c0af74, 0xc641af78, 0xbebbd177, 0x36a01bac, 0xa5f9a9f0, 0xf632d240, 0xc5ff69fb,
+    0x6e63bde2, 0x387b55ca, 0x5856f9bf, 0x5b610241, 0xf5fbfe9e, 0xb15c2277, 0x5693295f, 0x7194ea27,
+    0x49545d0d, 0x355884fd, 0x78747c27, 0x38ce617e, 0x3a59f73d, 0x7bca37b1, 0x4a90eaca, 0x4bb2564f,
+    0xaee4baa0, 0xa299df56, 0xaf0f9467, 0xf690cf7c, 0xe11729af, 0xd6dd6c6c, 0xf152ba96, 0x5217f8ce,
+    0xb15227a6, 0xa56d6e4b, 0xdde3dc4b, 0x9c2396a4, 0x19b21156, 0xd3cb2711, 0xdfadfb8f, 0xdb98d091,
+    0xb81ef32a, 0x86f3795b, 0x9c8fc265, 0xb2bc8b50, 0xdc8b7775, 0x6dbea08f, 0x54b7c69a, 0xb1172fe6,
+    0x2db0e836, 0x7831c712, 0xbc892de6, 0x2166cec1, 0xd5c04ea6, 0xd1797a62, 0xf7d0ed40, 0x69e62566,
+    0x974c1c63, 0x45a49a9d, 0x4b3a631b, 0xe03a5215, 0x5021b2ec, 0x8027edf0, 0xbad931d7, 0x0259b5dc,
+    0xb9b46082, 0x9445dc46, 0x645930c8, 0x3a5eb90c, 0x5f82539c, 0xc7dcfb91, 0x62ad3ae7, 0x0571bc53,
+    0x5f4768dc, 0x2bd69ef9, 0xf06b2f7a, 0xfd06e06a, 0x4d969edb, 0x951908f2, 0x9972ffe6, 0x3900fb57,
+    0x9f4e3f77, 0xe206cc10, 0x803876c8, 0x74c03c62, 0x55353225, 0xc1d21cca, 0x7fdfa5cc, 0xfc5eb6b3,
+    0x3134d8d8, 0xaab2ec2e, 0xfa108600, 0x2b0aa956, 0xda9d55e8, 0x80fd7277, 0x37c42cca, 0x17e9212f,
+    0x2aaf09b2, 0xd5227103, 0x53dacc9f, 0xd10d4b74, 0xdb934235, 0x2392d75d, 0xcdc17227, 0x894b925c,
+    0xfe757c06, 0x39e5e5e3, 0x2720af5f, 0x469c6f76, 0xe2cbd08b, 0xe3152345, 0x0077bfad, 0x39d54b18,
+    0x687268d7, 0x80687607, 0x8bedbfbe, 0xa7761e03, 0x73b6ff86, 0x2fafbc63, 0x3df13c3b, 0x30a1be70,
+    0x2397acd7, 0x7579772a, 0x71ad73ed, 0x2fe264d4, 0xf89bd437, 0xf8f555fa, 0xa75d3399, 0x4bba171b,
+    0x088d7ec3, 0x5d717e48, 0xcdbd449f, 0x196af665, 0x4c19e548, 0x41ab696c, 0x8c1b067e, 0xd3798434,
+    0xce2fa94a, 0x265edf9d, 0x979af86d, 0x8801faf8, 0x3c9f0ba8, 0x1bda3c92, 0x77ca910a, 0xc696647e,
+    0x66e63de7, 0xf321dbb9, 0xc733a513, 0xf95aaa3a, 0x15432e79, 0xce0fd31e, 0xeeef4ced, 0xb6537426,
+    0x4c4307f8, 0x0a5fe200, 0xc5a42ee5, 0x23318af8, 0xa6619a76, 0x310da618, 0x5cb82d20, 0x407b5508,
+    0x76e0934c, 0x18c6120a, 0x55e5e66f, 0xfec973ff, 0x82117bd5, 0x89312235, 0xf47e32c6, 0xcd13fb6a,
+    0x4bccc847, 0x30d2fd94, 0xc234b000, 0x7a726064, 0x94712dfd, 0xcbc89d4b, 0x611399a8, 0x134bb0f2,
+    0xe31d18b3, 0xb9fcd90a, 0xd2f48126, 0x6877a285, 0x38ad39f7, 0x80639bc2, 0x6526bd52, 0xb610c742,
+    0xa60fe6d5, 0xf32f5e02, 0x5289ab75, 0x3c0f4c0b, 0xc9cd152d, 0x87a63563, 0xecd2ea92, 0x78bd43c7,
+    0x4281b239, 0x3d801eac, 0x770c35b0, 0x560e6874, 0xf438b045, 0x8ac6d035, 0xe5586728, 0xa3288fe5,
+    0xf85c1c6d, 0x774ca1c9, 0x586d9204, 0xb4575001, 0x0a96e400, 0x08575242, 0x0f0472c2, 0xcacae212,
+    0xed1fabb8, 0x60d387f8, 0x8c43b9d5, 0xec75e9e3, 0x5962df4c, 0xae3e8c78, 0xcef7e54b, 0x604789b5,
+    0xaf1f1da8, 0x02e51516, 0x4ad496fe, 0x7467908d, 0x7fe74d36, 0x8e2c99c3, 0x8b05f78d, 0xda00e231,
+    0xefb3ef04, 0xc65a57ce, 0x65d1e3bd, 0x7f40d629, 0x4d945ae1, 0x0f2f6c64, 0x1dce8fa6, 0x48e36437,
+    0x3cce64d4, 0xb6281c0b, 0x6a39cd84, 0x571ea733, 0xdbef5b8f, 0xe2248e5a, 0xfab5106b, 0xb0936bf2,
+    0x69a3a93f, 0x8344b736, 0x3cdbaf2a, 0x3d081f66, 0xb90a6ac0, 0xa5d29844, 0x58d01fec, 0x36b72224,
+    0x2da9b11b, 0x7f13e845, 0xea5ed2f8, 0x94769bcf, 0x71145129, 0x6c2b95ef, 0x613fcfc0, 0xc6110a8e,
+    0x85645479, 0xa7289f68, 0xe9853011, 0x2ba917b3, 0x2b025d15, 0x3a12eadd, 0x3d4b07bd, 0x0b29fe90,
+    0x68195c41, 0x7036556c, 0x19daaa8b, 0xcaf8cf2a, 0xdafcfed6, 0xb3c01c7b, 0x9c0ec709, 0x5ebb7c04,
+    0x265b6ead, 0xa095bb65, 0x4c78cdab, 0x80a629f2, 0xe29783ed, 0x182e89d8, 0x0fe55836, 0x476ad910,
+    0x2a719b18, 0xa8c58f61, 0x1f70516b, 0xace582d0, 0x61225afe, 0xad2f0d49, 0x4f8e44b7, 0xd4663667,
+    0xc63dfd65, 0x0ada2158, 0x2e8ccd58, 0xbe212969, 0x80a65757, 0x3622b897, 0x24c21100, 0x169ca1e6,
+    0xcb1cf791, 0xa00011cd, 0x8c07fc43, 0xeaea7325, 0x79e965fe, 0x3b25ad71, 0x3e622024, 0xa7e68c03,
+    0x0fabd9e6, 0x6bf5291d, 0x3305f0e8, 0x827b2c1e, 0xbfbb0902, 0x52f4da67, 0xcf9c6e96, 0xca483766,
+    0xd474cbf7, 0x3ec54cea, 0x47d5a266, 0xdc117612, 0x2150d451, 0x8a264a89, 0xcf7c92df, 0xba8c402b,
+    0x588e0469, 0xe334d358, 0xde60ce4c, 0x6abee210, 0x81357740, 0xc3ffa2e7, 0xe481b692, 0x4d861bd7,
+    0x35bd766a, 0x1f109a4b, 0xb499b9a9, 0x1472ffdc, 0x240263f1, 0xc305d5df, 0x0445f205, 0xf82798bb,
+    0x9aaf02bb, 0x7e67ce8b, 0x93829fb3, 0xbe0a07e9, 0xac08c3bb, 0x9b386505, 0x54a21bc1, 0x9919ade0,
+    0x1fb6eb1f, 0x547008ee, 0x61b4242c, 0x53274f24, 0x39d5df22, 0x095cbbfb, 0x5dd516c9, 0x5bddb441,
+    0x4d664748, 0x79fc6e62, 0x039731bb, 0x34f0bf76, 0x9e9e6163, 0x48f9bcf9, 0x3822ce04, 0x404c67f1,
+    0xff459784, 0x750032cd, 0x520440c8, 0x0b14103a, 0x05472539, 0x7ab39ac7, 0xb0fe2a5b, 0x624563d3,
+    0x9c0549a5, 0x19acdb8a, 0x1f9a9d17, 0x93b04334, 0xc3cc6f25, 0x32068315, 0x204d6632, 0x1fced51a,
+    0x1153617c, 0xab884e00, 0x2484b891, 0x11ed3a83, 0x72439f37, 0x9a81fd06, 0xbfdef824, 0x45c8254f,
+    0xa3132371, 0xe3e4f243, 0xa42a7d98, 0xe8697ddd, 0x97837fc3, 0x94eb713a, 0x1a63b5c4, 0x22489fe7,
+    0xebdca67b, 0x610158f8, 0x01c5690d, 0xe090665a, 0x63ac77a4, 0x70170824, 0x076cdf2a, 0x5b79d96f,
+    0x19d49736, 0x07998644, 0xe3aabcd3, 0xe7721c4a, 0xb74bd49f, 0xf1554c6b, 0x98f0414d, 0x402a1e3f,
+    0xc93a03eb, 0x375289b7, 0x0b33f576, 0x07324033, 0x85767cf6, 0xbac6f9c8, 0x5c386f1c, 0xa5abbe0c,
+    0xae3eda33, 0xaa9835fc, 0x046ddcdd, 0x6aa6d572, 0x8d787669, 0x0583e7f6, 0x701b1fa8, 0x5b8bb799,
+    0x90e5b111, 0x53ace8ed, 0x678c3a81, 0xb61eef6d, 0xa7b0f9e6, 0xa82c9d20, 0xb3eac5ca, 0x7a6e1b1a,
+    0xca42abb8, 0x7b24769f, 0xd0a452c1, 0xc30dd03e, 0xe933e997, 0xbf6f442e, 0xc44e44fe, 0x081212f4,
+    0x1fbea846, 0xdec38ab5, 0x147758bd, 0xc1521f2d, 0x425d1f15, 0xbf2b86c8, 0x8af72181, 0xc09c1fd9,
+    0xcafd48b4, 0x38993ff3, 0x72a0ca69, 0xa7044df5, 0x3f2c1161, 0xd20bebcc, 0x1f7cb8f1, 0x4de5bea4,
+    0xfb4e8700, 0xdfee76ac, 0xff1baadb, 0xaaf86d61, 0x516e1f00, 0x201bea64, 0x32077626, 0x2b140c21,
+    0x5fa93b4d, 0xe806700c, 0xd8b5f8a3, 0x7e37b02e, 0x9a4926c1, 0xd9e54570, 0x04b9ae0c, 0x5927276c,
+    0x33ff63af, 0xe61ceefb, 0x82bd1608, 0x60228f8b, 0x4ad5a4cf, 0xbc2c9e9a, 0x7d1a3d30, 0x0159f68c,
+    0xbfd26603, 0x1fac4a2b, 0x0c9c019a, 0xbbf8b0bf, 0x92544efe, 0xc49b5af2, 0x4e9e2173, 0xad63a1a3,
+    0x94f97c4a, 0x5d683e0f, 0xe217876b, 0x36508bcd, 0xffad67d0, 0x7220842b, 0x88683a74, 0xd0a9d8d6,
+    0x6bbfb955, 0x5778f7cd, 0x89614be9, 0x015c8561, 0x35c3261f, 0x362b877b, 0x5db85d9e, 0x9fb5b558,
+    0x921a032a, 0xa653d757, 0x96715632, 0x62f2e4a0, 0xdd5a35cb, 0x7623a64f, 0x1e209782, 0x4b52da6d,
+    0x607f8c71, 0xb33b6564, 0x08459698, 0x9f268f2e, 0x60a90a4d, 0x895f27bb, 0xc0a528fd, 0xc0c20074,
+    0x2d4559b6, 0x3a9c1d65, 0x352487f2, 0xb8003c60, 0xe3e9c149, 0x6916896f, 0x0d7dbc51, 0xfa5a67be,
+    0x005a8c61, 0xdce5b6e5, 0x9a107847, 0x353033a5, 0x5cde45cd, 0x8c52f6cb, 0xf80e3b64, 0xe780590d,
+    0xdfd44e47, 0x39aae8fd, 0x7ffd669f, 0xe3312e8e, 0xe056827c, 0x4b91fd3c, 0xee1851a9, 0x89cbf9fa,
+    0x39a139af, 0xf08f55c5, 0xd0791006, 0x5194b60f, 0xd066119d, 0x2476fc75, 0xd37d2c25, 0xc9ba2fc9,
+    0xd356500a, 0x5ba44f9a, 0xbccbc500, 0xaa6adbb2, 0xde6efacd, 0xfc494d01, 0x955e29c8, 0x72d9b6f6,
+    0x9a799802, 0xb2027d90, 0x6ba6a3bb, 0xe7a84d8e, 0x4dcef3e6, 0xa4c2d782, 0x03b70408, 0xb95f870d,
+    0x3825b036, 0x25b5bb39, 0x3b074407, 0x97317ad6, 0x61b65ebb, 0x8cd46a9b, 0x5392bad2, 0x442198e2,
+    0x27cba29b, 0xe560e138, 0x1c3a1d3b, 0x681874c5, 0xaaaecbcd, 0xe709d30f, 0x6e54e267, 0x3489ca29,
+    0x17b8cdea, 0x0c45f457, 0xc5edf525, 0xc6a59f70, 0x8f483ec8, 0x60a94674, 0x777865ef, 0x4beaf1a5,
+    0xa177fe77, 0x36b0b191, 0x3ac6a3f4, 0x058d6782, 0x98a83a8b, 0x9d999d7b, 0xccbf114c, 0xd766607c,
+    0x0fcc5028, 0xb835c051, 0x56febb8c, 0x01a126f6, 0xe1ff3e13, 0xa0c850a3, 0xd57c3320, 0x3eeaf7e7,
+    0x42e01e66, 0x12f38666, 0x814844e0, 0xa7fd99e6, 0x6cc521d8, 0x9d02ad58, 0x3cc2d3d4, 0x3603d6b8,
+    0x9924d783, 0x7030abb8, 0xfd3dd07e, 0x8d7d967f, 0x451ebaa2, 0x0092d77a, 0x0f10e110, 0x5c479cdb,
+    0x948d26b4, 0x54548ab0, 0xb3a30d4b, 0xa2b5019f, 0x1ac2bd7c, 0x2323b0d3, 0xfc4f0fc6, 0x77ab3323,
+    0xa0dcd9d8, 0x0ae503cd, 0xe6524e03, 0x1fb2f70a, 0xb16635d6, 0xcfee1a0b, 0x1163c8bb, 0x07d87dc2,
+    0xd1111ee0, 0x389ea896, 0x046eb38b, 0x76c6e0a2, 0xefde2502, 0x9cc901e8, 0xf3c240d4, 0x63d7f70f,
+    0x74eef3ab, 0xb8b4ea5b, 0x625113db, 0xee8e4b29, 0xc5a0ccbb, 0x7df52403, 0xb48cd9a5, 0xb3493c9e,
+    0x4032985e, 0x93531835, 0xf5f307e4, 0x0e758a80, 0xc8e01ff0, 0x2f3b0246, 0x78fda2d8, 0xd20f7d30,
+    0xdf7b2886, 0x4081b014, 0x4f81e099, 0x0e97f7e7, 0x21d225f6, 0x5a58a164, 0x83ff53a8, 0xc952cc62,
+    0xafe7e962, 0x33b845a9, 0x155f9987, 0xd50fc219, 0xd78ab400, 0x3dfcec09, 0x0bfe35ee, 0xbd0e2a2f,
+    0x00000000,
+    0xac286bdb, 0x56c75a17, 0x747c497d, 0xbd3baa3e, 0x3a0cca1f, 0x0105cf0b, 0x9d236d59, 0xfc6f675a,
+    0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000003305279843951242994759576540163855199142023414\
+                         82140609642324397637202895618155672912594605219857642423795606012511679152128 */
+  { 0x00000000,
+    0x757fe5a6, 0x767bceba, 0xa91f1982, 0x2242c012, 0x61117543, 0x114cf97b, 0xc6e4811c, 0xfef6d237,
+    0xc66981af, 0x3741b588, 0x03e48259, 0x407d1c4d, 0x4f783076, 0xbb6f9e1b, 0x7096adac, 0x840f2fd3,
+    0xedc9a4bd, 0x60be0b91, 0xe23632be, 0x99ce6be7, 0x4be7f6a9, 0x2ce28653, 0x6a28fee1, 0x5021f84d,
+    0xae75a066, 0x33249875, 0x81164e9b, 0xd61c61bc, 0x4d653d6e, 0xaf21a774, 0x6487f37e, 0x9a4924a5,
+    0x6dfccecd, 0x461edbd9, 0xcfe48498, 0x04737f01, 0x239fe693, 0x7f549eb5, 0xe0dad4c4, 0x8a7d6b86,
+    0x5c566f94, 0x03f051c4, 0xcaebd98c, 0xcaed1e71, 0x5d746a75, 0xc9612766, 0x121ba504, 0xd2bdeea6,
+    0xb54700de, 0x2f93f303, 0xa99c1bd2, 0x0e79d5a1, 0x34e35459, 0x23a432d0, 0x6f36c5a3, 0xf4d30ecf,
+    0x296a025c, 0x16a820eb, 0xb9b4cbfa, 0xdb27bc29, 0x7439974c, 0xc1f98f81, 0x2663dad3, 0x2379ffd0,
+    0xd0c117fe, 0x0cd0e19a, 0x9fb6c4e7, 0xc9d1b5a5, 0xf52fe4b2, 0x43020541, 0x440507b8, 0x032ef35e,
+    0xac9e6ae7, 0x5b356aba, 0x1fa3a273, 0x3d93629c, 0xa250e17a, 0x2df3c2a6, 0xd75880f6, 0xbabccf3b,
+    0xbfc2f0b9, 0x00e94cab, 0xbbe33301, 0xa8d1bf06, 0xe2f1f106, 0xbd3035ab, 0xce779812, 0x8f3297be,
+    0x57e38e21, 0xad6de822, 0x5e608f4c, 0xa5ab7226, 0xe3aeb1f2, 0xa83abf75, 0x9cd7d134, 0x438dee91,
+    0xbc1bb5bd, 0xfd95abb9, 0xc08dc9d6, 0x9c32a1aa, 0x80fe43eb, 0x886df4fd, 0xbc30fa55, 0x55efd73f,
+    0xc1b8e3a7, 0x287dbbe5, 0xf180e12d, 0x6dd5beb8, 0xe8eb5aae, 0xd19a275c, 0x1a2dbab9, 0xbad54910,
+    0xd72d1a02, 0x779852e6, 0x12c82f04, 0xfba3f0f2, 0xd9b0dc2a, 0x6682832d, 0xd1f34ec7, 0x2b2fa366,
+    0xc912b3fb, 0x4ff27ddb, 0xf17c446b, 0xdf5e61c3, 0x7ab9bc16, 0xb2574549, 0x12155e13, 0xb3bf7c3a,
+    0x4503febb, 0xb36f111f, 0xaf61dad9, 0xac779504, 0x90af2fe0, 0x98000f6c, 0x2a12c10e, 0xfcc325a5,
+    0x8c5b0298, 0xebb38da5, 0x370658a4, 0xf7c76a80, 0xb7a46113, 0xffbf6df5, 0x055d2103, 0xc5e62f54,
+    0x0e24d2b1, 0x1f921e25, 0xe1b4fba5, 0xed474138, 0x81998178, 0x240911f4, 0x58ab89e8, 0xf9c0da2d,
+    0xc5cf8305, 0x8bb73a54, 0xaa4e3f5c, 0xb56f1642, 0x63f02e3a, 0x50b54ec8, 0xbf7dbe34, 0x95a07d0d,
+    0xb0074401, 0xd4cf77ad, 0x83b9af29, 0x89d37a95, 0x0517e200, 0x1ac01469, 0x7a40dbbf, 0xe9519a9b,
+    0x31fa0949, 0x8fafb2f1, 0x4783dc41, 0x20fd3125, 0xc0d7f5a5, 0x6a55591f, 0xf8afd80b, 0x4aeba2b5,
+    0x06f96554, 0x621aebee, 0xac396cbd, 0x8f684163, 0xf43f8be9, 0xadde9fc9, 0x82286fcd, 0xc92c4fc9,
+    0xd3212570, 0x18126fb5, 0xa42ef9c2, 0x33013e3b, 0xc75e8dd0, 0xc5b254ab, 0xc57269f5, 0xbbff7738,
+    0xe785bbc6, 0xff913cbe, 0x8651bfec, 0xf02e4235, 0x92bb978f, 0x1e8c46a9, 0x30281681, 0x41b57415,
+    0x8f0b232f, 0xa526da69, 0x50fd937b, 0x50a2abaf, 0xb9c4a6e1, 0x4f003a02, 0x274755fd, 0x550f7574,
+    0x1ca927d5, 0xc80c08a9, 0xcac30d72, 0x03ffbbb9, 0xd41b71c3, 0xcdc0d631, 0x093cdd21, 0xc8d9f5bd,
+    0xb3a8e104, 0x8df94491, 0x54de825e, 0xe3cbd90f, 0x99851ea4, 0xb658f69c, 0xaf4f9c7e, 0x3f280bb4,
+    0xabe5cdbf, 0x2b891da6, 0x41ef67b9, 0x46506945, 0x62d0be4f, 0x1ad29978, 0x017a9097, 0x5fa652c3,
+    0x22648821, 0xbd1ca6db, 0x14b2cb91, 0xd69cad73, 0x9d11ec08, 0x493b7190, 0x24a12024, 0xcf03860f,
+    0x06fdb261, 0xe418b200, 0x5cd0d293, 0xb4fc0033, 0x11bdb615, 0x3b74bbb5, 0x21cbed02, 0xea98c709,
+    0x7c2f6166, 0xfc197fdc, 0x74f8a86a, 0x5efebd31, 0xf0fdfa04, 0x62566bbe, 0x58fefb50, 0xfd25359c,
+    0xcb20e3bb, 0x25bccebe, 0x052308d1, 0xeffe894c, 0x0069bd44, 0xda807739, 0x27b23636, 0xaf5b2169,
+    0x3bd418e5, 0xb1f2e253, 0xbd7b6910, 0x8481b4a0, 0x35ff7607, 0x75671e94, 0xaea2bac6, 0x62250ec1,
+    0xc9357b0a, 0xa8f5b9a7, 0xe9d74c46, 0x55ea6462, 0x787b25b6, 0xc2f4c405, 0xac4c208d, 0x82b4f8b1,
+    0xa243cd64, 0x6106523f, 0xf03d5922, 0xf39a648d, 0x34f8756e, 0xbcaa1662, 0xf9464551, 0x2a7bf8dc,
+    0xb64bc679, 0xdddda2a5, 0xdb776f07, 0xe3b3c43c, 0x9779de4b, 0x00da346f, 0x3ba12559, 0x4dd8cacb,
+    0x25b7ae82, 0xc28e7f71, 0xa73085fb, 0xf28db8da, 0x3eff071f, 0x71a68250, 0xe74485f4, 0x5205be85,
+    0x9b02f1af, 0xd75f97f8, 0x9833698e, 0x5a15ad12, 0xa2e95e15, 0x691d8e74, 0x54bd1648, 0xc6d88bfd,
+    0x9211d02e, 0x376f0841, 0x99fd91c1, 0xc78d634c, 0x6f2f9d76, 0xbfaed6a4, 0x62013a8f, 0xee70072e,
+    0xd8fdb625, 0xafd48a5e, 0x1d12d6f1, 0x4865277f, 0x2c1b4593, 0xf16f1f29, 0x5a9d083b, 0x3d5125d7,
+    0x435e6489, 0x7cdd091a, 0xaedb8945, 0x57084aa3, 0x63aff8ad, 0x7e1dc89a, 0x950f85b2, 0x08cb82e6,
+    0xec232e61, 0x5efdf590, 0xffe58db3, 0x5aef2d8e, 0x2ecc9b56, 0xfe27384c, 0xc94e8482, 0x8b5db977,
+    0x5432ec1a, 0x90aab906, 0x448eb8a1, 0x09afb086, 0x5757a487, 0x90d9bbba, 0x6097b447, 0x3ea2f1b7,
+    0xe8fcf660, 0xf345dc4a, 0x8a2af075, 0xfa1bcff5, 0x5d10b161, 0xb9912024, 0x27b44370, 0xe6c98809,
+    0x44f2bace, 0xc27144f9, 0xccf769b7, 0x075b1f58, 0x4f0d04b7, 0x2411fe0e, 0xbd65f0c9, 0x80aacd0c,
+    0x35f2d68b, 0xb1c38555, 0xdcae50ec, 0x3ae04cb6, 0xfb995587, 0x2d2ea1d7, 0x19325c94, 0x5852d89d,
+    0x4b1badf8, 0xe2496794, 0x0be7a6a8, 0x614e60b3, 0x518b887f, 0xb3861231, 0x8f6b969c, 0xb805aad2,
+    0xa1d5943e, 0x876e3e32, 0xb039b853, 0x3b8fb6ca, 0x196c617e, 0x934006c4, 0xadfa7329, 0xb9281c28,
+    0x2131ee43, 0x90204887, 0xb684bcd5, 0x856affc4, 0x1ce6435f, 0x805f9c52, 0x2bc30d2b, 0x3bba96ee,
+    0xf236f4dc, 0x3784abd5, 0x53ffa5b3, 0x7a2eede7, 0x58117742, 0x2b0b7d35, 0xdb6ff47f, 0x13693122,
+    0xb2201629, 0x20a35747, 0x7d9b2f7e, 0x0c642f75, 0xd8072372, 0xf22e7473, 0x48a8919e, 0xa2666f64,
+    0xd51fe22e, 0x89b38a98, 0x48f96f1e, 0x5280eb8f, 0x7919793f, 0x170158f9, 0xf951abcd, 0xf2d1fe73,
+    0xf6397429, 0xf0c02e97, 0xa3a6f577, 0x275e6724, 0x41a464fc, 0xf3cb201d, 0x407a5131, 0xeb1b6692,
+    0xeff67efe, 0x772016c1, 0x3be33804, 0x65019aa9, 0x7963e176, 0x57524539, 0xf0423789, 0xd3613837,
+    0x8da829fc, 0x6aad0b55, 0x7a636a6d, 0xa2df94f6, 0xd8ffb93b, 0x010087c5, 0x3cf6c12f, 0x9c7a1c4a,
+    0x5c45ee57, 0x4e26cf9d, 0xb4d9ff0a, 0xd752ff86, 0x90312a07, 0xd189f02b, 0xc5fa2321, 0xcd404fa9,
+    0x3e2d77ba, 0x230356f3, 0x27f7e344, 0xd006d1a3, 0x259135b9, 0xd101a3fb, 0x8a2688a5, 0xee47ce61,
+    0x9338568d, 0x0493ec76, 0x1cb83d60, 0xd9e107a0, 0xeeabd6a8, 0xced9eb5a, 0x02fb5634, 0xcca81e00,
+    0x4564c236, 0x440fd092, 0x608f7e4c, 0x716a6da6, 0xc64e9de3, 0xdd0c66a6, 0x2aa9329e, 0x13d85ea0,
+    0xa1a29593, 0xbba020da, 0x7247b5cb, 0x116e24a8, 0x165a55fb, 0x151e9bb5, 0x4c6bd743, 0x62ae8848,
+    0x2dfb2329, 0x7dafd11f, 0x7f41216d, 0xe2228e2f, 0xd7f83bff, 0x8bffd96b, 0xa898eb7b, 0x2f6c6be6,
+    0x7a2f6cc3, 0x8f71e7d8, 0xceb7b801, 0x70c38881, 0x3a79c699, 0xa9b0ae4c, 0x66b04930, 0x71aaeb24,
+    0x053645c8, 0x47362319, 0xbc37ca34, 0x62ef33fd, 0x28633c06, 0x377800b5, 0xc8bfe78f, 0xe6eb50c5,
+    0x6f855d93, 0xa4efa36a, 0xbf1cd877, 0xc525af9e, 0xe1f0a03e, 0xf7781095, 0x6d0046f8, 0x2239042a,
+    0xa082afd3, 0xb63c1191, 0xfcc5a924, 0x702a8154, 0x1482bb4e, 0xddab12db, 0x4caffb56, 0x2a5d497e,
+    0x05c2dd50, 0x12eefa57, 0x3b0cda4b, 0x8f85be19, 0xfd691d06, 0x1821f756, 0x0c4f8724, 0xd651cb66,
+    0x5526a8cb, 0x6d848c58, 0xf8839975, 0x76ca0327, 0xc07fc5e4, 0xfe3f3000, 0x3c8c21ab, 0x95c979fd,
+    0x2231396d, 0xb38b8e33, 0xb4003892, 0x895fc24e, 0x2fd5494e, 0x8dbed900, 0x788f2a15, 0xd71dc63a,
+    0xb8cbfe1e, 0x88138fdb, 0xac486cef, 0x48f93491, 0x2bb898d7, 0x88ab4faa, 0xebcf7d78, 0x36869b5d,
+    0xcac2cd8a, 0xc35a25fd, 0xe34b60c0, 0xe4dde85e, 0xf32c1569, 0xda0e7473, 0x7ce3dd60, 0x15b02112,
+    0x4e65e41d, 0xa8230dac, 0x8d5548c4, 0xf1a181c6, 0xadad7058, 0xeb9d6d1c, 0xaaefa1eb, 0x645550df,
+    0x32a44a1f, 0xd46326d5, 0xb218b1a9, 0xf944e4d9, 0xe5d9a3a9, 0x1e7c4315, 0x27ec7d5d, 0xf215d88f,
+    0xe9f86304, 0xfc576505, 0x3a611422, 0x0ad42949, 0xb2c39d13, 0xebb46cad, 0x21c7b056, 0x44f8a558,
+    0x314d4eaa, 0xd5013d5f, 0x531ba3de, 0x3172f30d, 0x469c2d19, 0xecf635f0, 0x19170994, 0x3a814919,
+    0xbf9b31c7, 0x6f44f7bd, 0xcd420a19, 0xd5977a8f, 0x0f12f75f, 0xea68ad0e, 0x1d5f37e8, 0x96187a53,
+    0x92a31ad1, 0xca0c9212, 0x54bbb0f4, 0xf5550a2b, 0xb4f90b69, 0xd5d38497, 0x6ef3fddb, 0xad292ee9,
+    0xc93fec7f, 0x76d5e17f, 0xa265a85d, 0xb9cd7c79, 0x6d9500a1, 0x3bd5ddf7, 0xe5fa3e0f, 0x7d603ee3,
+    0xa988beb5, 0xbd67f946, 0xa0a740cc, 0xba08a295, 0x4fbc4244, 0xb0e37569, 0x4d113025, 0x5c6cc571,
+    0xf276ac79, 0x3cf4c70d, 0x38181e93, 0x3bdf6046, 0xd7c10e19, 0x659ba5da, 0xf3d55425, 0x60899a1a,
+    0xc6b46b8f, 0x14ef5e6f, 0x73da9059, 0x96641c0f, 0xe4df242a, 0x413a57a7, 0x7f3f3cc3, 0xc0abed77,
+    0x0a4bae8d, 0xc4ae8f8c, 0x87ae3862, 0xbd1068ba, 0x596c819f, 0xbf2c4dde, 0x04ddcbfe, 0xc3b9bb48,
+    0xa74ec51d, 0xc4813fdb, 0xa9fb7259, 0x97b8d04a, 0x8975c2a0, 0x2f4aff17, 0xb8946f5f, 0x6bf7f924,
+    0xd7321cc7, 0x4bfe79fd, 0x1842f6de, 0x8944d6c8, 0x777c2c87, 0x4b8ebb55, 0x17f6745e, 0xf22e61fe,
+    0x0b502be4, 0x0bc42147, 0x7270d8a5, 0x9f24c81d, 0x766677da, 0x3581cdfd, 0xc1496cb9, 0xe22fda21,
+    0x5486b7a8, 0x4758f6fe, 0x998c7ac8, 0x733586a5, 0x3a621516, 0x1ccd979d, 0xc0c33bfa, 0x849dfda4,
+    0xffc482d3, 0x7dec254b, 0x60ee1504, 0xe72ce3d3, 0xba73dd49, 0xb40da0f6, 0xe7f99b44, 0xdd51747e,
+    0xb60894f7, 0xa2f933fe, 0x0c9dfdfc, 0xdfe97305, 0x85bf9dd8, 0x0c2fbaf9, 0x506609a4, 0x7baa2bd1,
+    0xefce4b72, 0xe1fcf69f, 0xb77abdfb, 0xb39f863e, 0x221199a7, 0xb488e99f, 0x24abe200, 0xcc47f981,
+    0x4f0d9a24, 0xe5b3c2b5, 0xf14f9482, 0xebade746, 0x61363a80, 0x801a7e5e, 0x9bbde005, 0x2121f642,
+    0x04d3c417, 0xf5493ceb, 0x4ee564fc, 0x2b179f94, 0xb4f45020, 0x588edef4, 0x405208df, 0x7cac1e8f,
+    0x469f1f0b, 0x05f65957, 0x689ba05e, 0xf00672ca, 0x061265f8, 0x1f165816, 0x7f1159b1, 0xe5cf6494,
+    0xc08c0db8, 0xe858290d, 0xe2c02e70, 0x6a427ac7, 0xf1821b1f, 0xc0641f41, 0x67fa8fdb, 0xd8a0b0fb,
+    0xb3176ac5, 0x92089b66, 0xe2d5683b, 0x7fae2d6c, 0xd8797e59, 0xf6bcb735, 0xcbf58a90, 0xe5d903f1,
+    0x12c9c187, 0x94fa615d, 0xc245b694, 0x7cd1267d, 0x9d0b73d0, 0x444bce8f, 0xd700d379, 0xa961c2b3,
+    0x1851e193, 0xe9751be7, 0x5c0837e1, 0x4e39923d, 0xd5c7a8df, 0x657440c5, 0xff92e3be, 0xb33ec6c9,
+    0x9ab45ffe, 0xf9c8d058, 0x80a7fad9, 0x991384fb, 0x4635e1c5, 0xe5f09a41, 0xfc29f41f, 0x1aa75644,
+    0xaca68d88, 0x4f90317c, 0xacb5ad26, 0xcb588148, 0x4fa5fb5d, 0x9d67467e, 0x25408d3d, 0x624df56d,
+    0x7e9ec753, 0x9e5fad78, 0xe292e1a8, 0xdd36659e, 0x00e91b1e, 0xdd87a4ac, 0x7682bd0a, 0xd0a591fc,
+    0x704c0fa5, 0xbf17cf04, 0x606bf430, 0x6d118db4, 0x7b812f70, 0x58bca4db, 0xe1bac396, 0x86e98c73,
+    0x3e8a63a3, 0x155ed547, 0x227e9e44, 0x1acf95b9, 0x5e23c907, 0x1e083ac3, 0x98611a20, 0x41a9b17e,
+    0x61939cc8, 0xe0968624, 0x791b4a2f, 0xa1e2618c, 0x71897b8a, 0xfb1d39a4, 0x00bfe0e6, 0x45a74035,
+    0x2446e2f2, 0x253fe456, 0x6e1074ed, 0xa3ff2b52, 0x15c40ef7, 0xfbd029f0, 0xef41faca, 0xd53a2632,
+    0x44cb1d45, 0x3770f776, 0xec722332, 0xb2af0c7a, 0xb8f42a27, 0xdbbacedf, 0xd061a6e0, 0x5117df7c,
+    0x5db46b9c, 0xa42e17a7, 0x5fead621, 0xb3f2c739, 0x2715cadb, 0x75b4a42a, 0xce883d9d, 0xa96117c5,
+    0xaaf8bcde, 0x30bbc029, 0xa7b178b0, 0x3e9bd51a, 0xaad268f1, 0xb8edc3b2, 0x0bf6926b, 0xdcc8f3a4,
+    0x0f4f1dab, 0xef41ffcd, 0xd969adcc, 0xbcb25ace, 0x7fe7e9e3, 0xddb7f528, 0x30d078e0, 0x6b7a1c95,
+    0x508b53c3, 0x7f2a9697, 0x91299c96, 0xfc1d1203, 0x78efca27, 0x41f8f7d2, 0x71ecfe51, 0xc75511ab,
+    0x39996f40, 0x98b22e01, 0x67d4cfb4, 0x4c4a6379, 0x73b9ffd8, 0x93ef53b8, 0x6c60aa1b, 0x369626e3,
+    0xe2b79e87, 0x7d183b4c, 0xf6001cf4, 0x7b1280ae, 0x2e2c13d9, 0x8060ef76, 0x62e29be8, 0x961b0b85,
+    0x95fbee71, 0x6049afe3, 0x7bfbbc64, 0xf1f1d317, 0x2776b166, 0xad40d363, 0x2a8a0d3a, 0x9528177d,
+    0x9fea3951, 0x0dbfc229, 0xc1a35264, 0x70e65faa, 0xc2f1fa19, 0xc642587f, 0xd298904b, 0x27ea53c6,
+    0x8106e0a1, 0x6e11a851, 0x7b5ca352, 0xd0a9a175, 0xff4ba05a, 0xb65d95c2, 0xcd9be4ed, 0x929ef3b4,
+    0x52bf4b14, 0x6a66e59f, 0xdb19785c, 0xaf33d38f, 0x1f63dde1, 0xc3f06762, 0x0a389cd5, 0xbcb050f8,
+    0x656f7bc9, 0xb56e2db9, 0x063b37e5, 0xbae52c25, 0xb8db3d7e, 0xd33e9715, 0x0c44ca2a, 0xc0e9c588,
+    0x720a5d4b, 0x176b1a91, 0x7663e614, 0xdf07ff98, 0x236b4e05, 0x0efeee31, 0x0b43f95d, 0x6df56936,
+    0x6bacee9e, 0xdcde6fd1, 0x626b4e3a, 0x94a7fe6a, 0x140b70e3, 0x396ff6c2, 0xb77beced, 0x6c491ad3,
+    0x19be7195, 0x89d1a174, 0xd8309a63, 0x5d1c3279, 0x29329223, 0xa142a013, 0x996e8484, 0x091296db,
+    0x5daf5f16, 0x727f1319, 0xc3e48a25, 0xd8d113ed, 0x9eec81d5, 0xe90dccba, 0x943e2d86, 0x5334c44e,
+    0x33061e5c, 0x7849daea, 0x0fbc6934, 0x53dfe5d3, 0xe808a8d8, 0xc4a4d762, 0x1400397a, 0xbf05627c,
+    0x2b5a13a7, 0xebcd90b6, 0x737d3f90, 0xbb44171d, 0xadbe8e06, 0x9dc28e53, 0xe58dd004, 0x75f96fc7,
+    0x33ba557a, 0xa9957e09, 0x5bac69a7, 0x6a80f301, 0x2409fe08, 0x4097b01b, 0x3b710d96, 0xc1be9b50,
+    0x27971931, 0xe6f91c63, 0x15c025e0, 0x0fced434, 0xc1c64a54, 0x7c9053ab, 0xb9fa0597, 0x772a7d88,
+    0xe369eb51, 0xd1ed2a0e, 0xf129bc70, 0x1fa899c6, 0x67a77bb7, 0xb30bc85b, 0x9cdc4eb1, 0x08045dd5,
+    0xb0c8a204, 0x452c040c, 0x41dd3426, 0x4a19f969, 0x265889bb, 0x4ba929a1, 0xc40e1707, 0x5274b84e,
+    0xf7939787, 0x7e87945e, 0xd3c3c69e, 0x955bab85, 0x067e5006, 0xc70fd3bb, 0xfe382be8, 0x9b8f7fb6,
+    0x00000000,
+    0xd61435ed, 0xab63ad0b, 0x3a3e24be, 0xde9dd51f, 0x9d06650f, 0x8082e785, 0x4e91b6ac, 0xfe37b3ad,
+    0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000001652639921975621497379788270081927599571011707\
+                         41070304821162198818601447809077836456297302609928821211897803006255839576064 */
+  { 0x00000000,
+    0xac0eb309, 0xb9f44100, 0x5d7dfb68, 0x43d9c54f, 0x3aa1313a, 0x18aebdc7, 0xaa01d49b, 0xf9841ac1,
+    0xe7feba29, 0x30239ed7, 0x0e287b21, 0xff4bcf43, 0xdcb096c7, 0x8202404a, 0xfcda6782, 0x69dd986d,
+    0xceba3240, 0x44577386, 0x652b996b, 0xa2a339d1, 0x1cd337ca, 0x03770c3d, 0xe2dfac64, 0x5fde887b,
+    0x49f0aa10, 0xc9eb935f, 0x806e6d36, 0x4afd6108, 0x4e3f918a, 0x5fd5debd, 0x398f6232, 0x5cb62e68,
+    0x4d7e2d86, 0x575979f8, 0x8102b4e6, 0x1e5c8a74, 0x52992ff9, 0x821acc22, 0xc02af0e0, 0x5e16c6b8,
+    0xdc4bbfa0, 0x1a395332, 0xd392d816, 0x8becb357, 0xef0eaf0b, 0x363dbfab, 0x027549f7, 0x85c8cfbf,
+    0x6069fa95, 0xf9e69099, 0x4b85ad56, 0x159a30ed, 0x8cc47c15, 0x07957307, 0x73684171, 0xf81ba229,
+    0x375ccbf9, 0xc4c09371, 0x51f42fa4, 0x7337cfce, 0x5062d86c, 0xc13cbb74, 0x70761169, 0xf5329d3a,
+    0xf2766eaf, 0x1571cc86, 0xd04a08a0, 0x01461510, 0x3ebaf57c, 0x357ae6bb, 0x32cc957c, 0x2915ec6a,
+    0x25545be1, 0xe4a685c9, 0xba590835, 0x7d2becc9, 0x6a6b34b4, 0xbb08627a, 0x486c32a1, 0x84e3011e,
+    0xf6abd550, 0x5ab99c44, 0xa3dc1477, 0x58a9d816, 0xfe75fac6, 0x760fdad5, 0x67cf62a6, 0x9844a3e6,
+    0xeeafa953, 0x2a2f2603, 0xc5e4ade7, 0xfb21d97c, 0x0e0555a6, 0x0e7d575e, 0xaf3bc625, 0x9190bfed,
+    0xb1fc32f6, 0x46965fe6, 0xd1207545, 0xc2dc4ce7, 0x3da0e4c5, 0x5db8f90e, 0x68e251a1, 0xe2b034e8,
+    0x27e6aa87, 0x1d7f9f8f, 0x88269ffa, 0x45a65d87, 0x8e280689, 0x4b6a084a, 0x91feb00d, 0x69983322,
+    0x989424cb, 0xb50b574b, 0x415fb930, 0xecf80674, 0x8a86c94d, 0xd7c5dc4b, 0xbbd9ab19, 0xe3850ea6,
+    0xef294b4c, 0x5957e82c, 0x3af7a93e, 0x8e43b932, 0x655ffd89, 0x2a259434, 0x9236216f, 0x44c3895d,
+    0x148e42ec, 0x56f05e61, 0x708523ba, 0x25685c4d, 0x54d847d1, 0x8bd5b222, 0x39a785dd, 0xa37bd070,
+    0x51aaf559, 0x1de23b2a, 0x78d32bbe, 0xd3548184, 0x168cdae0, 0x667d5d52, 0x24141fd0, 0x6410cf64,
+    0xa7bac3b3, 0xc5b5ef62, 0x1e511fb7, 0x8dfe46b5, 0x03f4671a, 0x9079d459, 0x3d46c2f4, 0xff824b4c,
+    0x2b8fa6f6, 0xfe0753be, 0x2021ec32, 0xee58c197, 0x7dbbe9ec, 0x57461776, 0x1ab9c803, 0xadaf2533,
+    0xb20b6623, 0xf9eff0d1, 0xa79a77e6, 0x50fee4de, 0xd8dad10f, 0x8b36d100, 0x93d37df1, 0x9909db44,
+    0xa2007f42, 0x44f441c1, 0xdfde7da1, 0x198d07b9, 0xdf2b3bfd, 0xd9a97a8b, 0x3a53d64a, 0xa9cb81e6,
+    0x5c969670, 0xdfa83797, 0xd563995b, 0xd5ffccd1, 0xa293df74, 0x06ac690b, 0x9131e42c, 0xd88da6ee,
+    0x75bee185, 0xc96f0129, 0x005054cb, 0xfee49ac8, 0xa1b73cc9, 0x271b889b, 0xf749c2f6, 0x771c354f,
+    0xd514f203, 0x94f9bc60, 0xf9efb4ed, 0x26c20509, 0xd9a1eb83, 0x35cf4e77, 0x1c06f85a, 0x4fd560e1,
+    0x6c726874, 0x797a716b, 0x509cde01, 0xeb20a0d8, 0x8b5c5e77, 0xa1928281, 0x0bd96ead, 0x602b2ff9,
+    0x015105a6, 0xf95301cb, 0x1d7cd3f8, 0xcb7f6175, 0x8fac4588, 0x0bb3919d, 0x092c5a81, 0x148d162f,
+    0xa3b824f4, 0xb0af02d1, 0xca8a3098, 0x970e360b, 0x8c0bb546, 0x12fe73a4, 0x656e661a, 0xccf5315b,
+    0xadd6a46a, 0x2a0c8f0d, 0x5f2a7ddb, 0x162637db, 0xafe9152d, 0x24690e8f, 0xc9598c08, 0x886381fb,
+    0x64258eef, 0x447ef3fe, 0x73d7a0c7, 0x790baa4e, 0x5b1d7009, 0xc7ee2fa5, 0xb408e06e, 0xe265f818,
+    0xe13e3b71, 0x44289823, 0x6d313b30, 0xc080ed02, 0xa52007a6, 0x22ab1154, 0x3ef0a26d, 0xa5e4b6ea,
+    0x4dcefbf4, 0x9b390d63, 0x32ebd6cd, 0xb4fbc410, 0xe047ec20, 0x363d00ae, 0xd547cf25, 0xd77c3805,
+    0x7dbafbe2, 0xedded8ba, 0xb32b1ad0, 0xb152c538, 0xd8624edc, 0xe0c52035, 0xb960aa91, 0xbd4fd5fe,
+    0x5938f430, 0xc39fe847, 0xdc055984, 0xe36197da, 0x88ebeb3b, 0xc4121dca, 0x73035dc0, 0x64810937,
+    0x438a639a, 0xa8a1053a, 0x67df524c, 0xfd63547d, 0xcb6ea3e5, 0xa7970459, 0xb6ffb6c9, 0x7169ad93,
+    0xe2d50e56, 0x65cd301d, 0xf7603ec5, 0xb46de81b, 0xed2ef2ea, 0x4b658962, 0x1b3d93d4, 0x9aea3fd6,
+    0x2ff1b155, 0xdf0accde, 0x4c18229b, 0x2dfcb4bd, 0x81abb59e, 0xdd13bcfc, 0xe19d9a95, 0xde084709,
+    0x11f97c4b, 0x712f3b22, 0xbf25a337, 0x7d67acf7, 0x92a009fc, 0xc01228ec, 0xf1e3b348, 0x30c0952f,
+    0x586262ef, 0x9d3f76ba, 0x64ea9624, 0x8acde74f, 0x60b61d10, 0x1a566b7c, 0x0a63ca0a, 0xf08e3fcc,
+    0x05687295, 0x5391a8e1, 0x4c5485dd, 0x149ce11e, 0x13565fbc, 0xe6498245, 0x7cc9f748, 0x4411fb03,
+    0x1eef4825, 0x5f04cc76, 0xa4938a59, 0xa71f1060, 0x881d3ca4, 0x1a34447c, 0x589681f2, 0x73e2c419,
+    0x9f8ee3a4, 0x9d5e3798, 0x15b455e1, 0xbeaf2463, 0xe3ffeaff, 0x0ef03dae, 0x4d4aba20, 0x960d118a,
+    0xde770596, 0x563e68d8, 0xb8dc4163, 0x918e9be6, 0x14524e89, 0x2bff4501, 0x0533aea0, 0xfb0bb24e,
+    0x23773da2, 0xe5ce7198, 0xf2d833b8, 0xe26b475a, 0x516144b8, 0x3483ccc2, 0x0e7a0893, 0x05d43914,
+    0x7e3ec273, 0xe233afe8, 0x199358aa, 0x73729ec1, 0x704b6955, 0x991535ed, 0xfe90f90c, 0x32170a3f,
+    0x76d78f05, 0xa2a1c7e2, 0x771aa231, 0x30a990ea, 0xfb385571, 0xc1b46b00, 0xdaef643f, 0x607244af,
+    0xfc6b16ac, 0xbe9f747e, 0x8ea05991, 0x95cd031c, 0xdae984a8, 0xd89dcf7d, 0x9c969eff, 0x2e46cbaf,
+    0x59d25209, 0xd140e229, 0x88382148, 0xe80ccfee, 0x0d60620e, 0x4a3c089c, 0x90e5fb19, 0x70e293bc,
+    0x85b07fbd, 0x69df1660, 0x11061091, 0x85eab3b9, 0x9b503fc7, 0xeac4c008, 0x5f474b3f, 0x95281ee2,
+    0x7a46dabe, 0x359c9d99, 0x4a4d6554, 0x3292ad95, 0x0c76807e, 0x15c30ac8, 0x520494cf, 0x169203ba,
+    0xdb20fa32, 0x755269fb, 0x4961ba6a, 0x3c50208d, 0x9e8f9fd0, 0xb08c9a0b, 0x7f82ddff, 0x70dbcfc2,
+    0x673262ea, 0x9966eeda, 0x13c16ac4, 0xed815022, 0x80c380e9, 0x5654b776, 0x85c60af2, 0x966e4a85,
+    0x5bd76bb4, 0xe2d7bba2, 0x07c2b1ed, 0xda7a72bf, 0x7133605c, 0x4bb58316, 0x53b2331e, 0x32275b44,
+    0x74fb08fd, 0x1d54bd4f, 0x025acbcc, 0xdb7d9d30, 0xdd4e796a, 0xd7679caa, 0xd0a5372b, 0xec0f7429,
+    0x10d0bb8d, 0xdc0a9b4b, 0x6691bb2a, 0x07dc62b7, 0xf3b4e47c, 0xeb0aa5f8, 0x6e53e0e8, 0x2af2e754,
+    0xf72a8d98, 0xf03b890f, 0xe6df1b68, 0xe31472fd, 0xe08f5bba, 0x97d8cbe9, 0xd7e3a7dd, 0x7f382136,
+    0x6d119864, 0x6093c693, 0x04814fa1, 0x9c9349dc, 0xb1a1c20a, 0xaffd7926, 0x54d5688d, 0x25d8d210,
+    0x19d77f75, 0x7bc4ce4f, 0x809c4074, 0x66673536, 0x85b7da61, 0x72b11b13, 0x8b546584, 0x97f8f22c,
+    0x15635c85, 0x85935b65, 0x2a20d98c, 0xba393112, 0x03d5c15b, 0xdec77669, 0x8c6636f5, 0xceb8c76a,
+    0x8ac697c3, 0x07affc20, 0xb971a2bf, 0x65ee56a4, 0xe38d6946, 0x786b002f, 0xcfa8f04a, 0xeed2fa39,
+    0xa22b9788, 0x6f939c51, 0xb85a9d27, 0xea3064a9, 0xf796bc86, 0xf8957c7e, 0x7b1e46f6, 0xd6f181dd,
+    0xc0cf71ba, 0xc5b1cace, 0x14342dce, 0x5a8f62aa, 0x46ca8793, 0x72691ebd, 0x57a2bdef, 0x55966945,
+    0xee3f0c4c, 0xb33696fa, 0xf0c7c2aa, 0x3816b2ce, 0x8b304d80, 0x69213c9f, 0x28435dac, 0xb78bdc95,
+    0xa5aa5a39, 0x4f9eab18, 0x6cd9559b, 0x0a6a4fea, 0xd622cff8, 0xe96631a4, 0x1067e9c8, 0xf7a0ca71,
+    0x099e9e32, 0x1c3ec38b, 0x3f47d5c5, 0xe452b714, 0xa3b19778, 0x6473b3c0, 0x7e5d0074, 0xaca3780a,
+    0x350e597c, 0x70cfb407, 0x5e6251cc, 0xf62a2f98, 0x1c903295, 0xa7e33154, 0x9410009d, 0x2ccb76c9,
+    0x42e081d2, 0xef5a13b3, 0xa982ac7b, 0xdd97de60, 0xdcdf0bb8, 0xc365596f, 0x62812dc6, 0x61d8884f,
+    0x69d29fa1, 0x99e02092, 0xb0ee8bb4, 0x93a43def, 0x76c72c4d, 0x50ddf5b7, 0xa22cf96e, 0xf3f43c39,
+    0xf8bbb238, 0x1c2b82a0, 0x8f7796ac, 0xa40bcdae, 0x4d8d063a, 0x35f4afe7, 0xf6ae9c54, 0xe2a33226,
+    0x0a6bad9d, 0xe2e154ce, 0xf43526bb, 0x22735d1e, 0x010a6b80, 0x691da115, 0x8e83a7a7, 0xde05bdfa,
+    0xc9b38e6e, 0xe2fd9330, 0x180d0627, 0xdf71c66d, 0x1271161d, 0xd47e06bf, 0x98c45230, 0x7c596095,
+    0x9056d344, 0x300db3ef, 0x781d62fc, 0x801da3b2, 0x769bc791, 0x118be602, 0x414df24b, 0x8ff92894,
+    0x3f4e6ba6, 0x6a2912b9, 0x89770a17, 0x5e6ee3ae, 0x0257f87e, 0x5414c7aa, 0x30d1fa87, 0x147ad680,
+    0xac185fa3, 0x35d0e881, 0x29b18a30, 0xbfa254ef, 0x96535adc, 0x11c60b5b, 0x26a35247, 0xe2d634c8,
+    0x1ae14c9b, 0x6237ccb0, 0xfd4d28c9, 0x9416b73d, 0xd9385b7c, 0x464dca09, 0xfbf81d03, 0x47ba19dd,
+    0x39b9cf53, 0xdbed14a1, 0xc1e82f94, 0xaccdbdc4, 0xf96c72f6, 0x06c85478, 0xedbbf41b, 0xa5f91a54,
+    0x808fc2a5, 0x7a803f38, 0x0b4c32dc, 0x4de7971f, 0xbbec69b6, 0x0255d485, 0x77897f8f, 0x475062f7,
+    0x870a0ac7, 0x0394c1b2, 0x06941c31, 0xf400011c, 0xcc3889c0, 0xb4f95e5b, 0x3e0e29f9, 0xe256a1e7,
+    0x8ff88508, 0x0276e97e, 0x89b73f5b, 0x768d1017, 0x8a11ac84, 0xc5e14b75, 0x2c476be1, 0x23529395,
+    0x220287bc, 0x8af741a7, 0xd234dd83, 0xad192574, 0x08130597, 0xef0fcfe2, 0xb0ee64b6, 0x9f825b11,
+    0x1b46d45e, 0xa03d0e49, 0xf331882d, 0xb1054f6e, 0xbabf7b01, 0x977e30a3, 0xafba06fe, 0x324e19a0,
+    0xc07cdc28, 0xce6bd163, 0xd73ec797, 0x61e31af4, 0x72ca069e, 0x7c1f6f4f, 0xee00b3db, 0xc8531788,
+    0x085b0f4f, 0x6a86fdd6, 0x7eeab2e0, 0xe629a0a2, 0xd434643c, 0x30cf702d, 0x34bdcdde, 0xf65edd1a,
+    0x32a3ceb4, 0x6b863863, 0xad3bbd05, 0x4c983c84, 0xb47abb5f, 0x02c45b3e, 0x31944f6f, 0x09ffcf80,
+    0x921d46c5, 0xadbd9154, 0x47f00914, 0xf600c3b5, 0x192b72ef, 0x02ef6c27, 0x3ce5a600, 0xd767b9c2,
+    0x4bfce770, 0x70fb8a7d, 0xc27482b2, 0xb595a29c, 0xe7c69675, 0xb961a345, 0x5695e5d1, 0x18f0624b,
+    0xa759782f, 0xf90787f6, 0x3de55ac9, 0xbd791ba1, 0xda984c76, 0x4222b86c, 0x8355acc9, 0xeeba32cc,
+    0x7a124baf, 0x3ac53c57, 0xa83080fe, 0xe960ff0c, 0xe31ebd14, 0x00e75146, 0x21966c91, 0xfd0ac36a,
+    0xb1c01142, 0x3be49288, 0xcdd2d449, 0x2deb9830, 0x3423eef2, 0x33687ed3, 0x1b2d491d, 0x7f282b88,
+    0x85f961a5, 0x5553fe7d, 0x960fdbf8, 0xdbf3d391, 0x067bf876, 0xedea205f, 0x14fced0e, 0xa89fd32f,
+    0x470dddde, 0x156fe725, 0xa6cfea05, 0x1b458b65, 0xb3acd37c, 0x2d2c1925, 0xf9852832, 0x8d46f36e,
+    0x0f1cfb2b, 0x936995e9, 0xf02a8767, 0x0cbc9d9a, 0x4f83ff7e, 0xc3c55d42, 0x64c98a3b, 0x106b4e12,
+    0x956834bc, 0xbd5ebfe7, 0x4def39a5, 0x91c58a75, 0xbb59eadb, 0x84953871, 0xebc9bde8, 0xf16e18c2,
+    0x3b8e08c6, 0xc199ad12, 0xb15e3ded, 0x900ca65c, 0x31b249dd, 0xade9b8bf, 0xc91b5c87, 0xd51203e5,
+    0x1c3b1bc3, 0x9cdb6792, 0x90cd01bf, 0x2dee1ee4, 0x7eef502a, 0xcd456bc1, 0x41587ddd, 0x4dbf39b0,
+    0x97718955, 0xa8598f07, 0x371480d0, 0x70e96920, 0x41ee54d5, 0x5dcabb97, 0x7d6c7756, 0x933a6a96,
+    0x85fb87ae, 0x78ae3820, 0xa9bf18e8, 0xd18431a7, 0x4f051671, 0xa386a903, 0x4165a025, 0x532f45bd,
+    0x07544a1a, 0x85d38945, 0x156b713d, 0x5a534ab4, 0x4eb26629, 0x304c8471, 0xeb460ad2, 0xf79e26c3,
+    0xefacf218, 0xca0107d4, 0xbb400522, 0x7d27cbff, 0x18b5e291, 0x9e12f2c4, 0x6e890109, 0x8b109440,
+    0x53ab829f, 0xa3ef6bfc, 0xd4c41f0c, 0xab980742, 0xbbadae19, 0x27325c1c, 0xe1d83f64, 0xcc4f1cef,
+    0xd08be383, 0xb3e47129, 0xe559f916, 0x2cb17bef, 0x4f4b9874, 0x801ad799, 0xf2a66ee4, 0xb72326f0,
+    0xff07e2b5, 0x48d82ad2, 0x6ac3d8f5, 0x97c939ec, 0xc930343c, 0xda66dae1, 0x53751538, 0xce62ef5e,
+    0x5b0ebf8e, 0x2f30fc57, 0x098847fc, 0x2cb13929, 0x94c330d9, 0xe719a100, 0x852f2031, 0x9e147012,
+    0x479fa7dc, 0xce3bb636, 0x72380392, 0x46e1ab95, 0xc0f620cd, 0xe108838a, 0xc62dac26, 0x9956ceeb,
+    0x4f248292, 0x2477184b, 0xa9abda50, 0xb5551dd5, 0x739df3f0, 0x12da282c, 0xe88442a4, 0x9fdd62c9,
+    0xf45ff138, 0x8d77eb4a, 0xdc09d73d, 0xe8d0bbdc, 0xfa1bf24d, 0xd701be9a, 0x2a47659d, 0x334e562c,
+    0x004db4c5, 0x83a7f6a6, 0x5b4b6726, 0xa381e126, 0x63231e00, 0xcc1731f2, 0x461033e9, 0xe695d862,
+    0xf6464fc6, 0xdb17718a, 0xc6d19642, 0x28b5e6ce, 0xd0ab3386, 0x77d7307d, 0xf69b9832, 0xbe815651,
+    0xcea3adb7, 0x208399d1, 0x97900736, 0xbef35df2, 0x83a7f2f8, 0x14cfd217, 0xae30059d, 0x382de5fb,
+    0x82da09e6, 0xab6dcb60, 0x12768535, 0xeb8b7d90, 0xcf2d4104, 0x79bb1f9b, 0x453ad5c8, 0xc4c62e54,
+    0x8e694db2, 0x03251a08, 0xf15cb55d, 0xb4f4d6db, 0xab8e260a, 0x45fef240, 0xfb161ce0, 0x7b8effb4,
+    0x9e57d052, 0xe5cfa4f6, 0x26c1d91d, 0x6ba83fdc, 0x7a768a1c, 0x90ccce9a, 0x1b9c5640, 0x763bb573,
+    0xa4a42aed, 0x73c97697, 0xae552af5, 0x564dffc0, 0x2d9b6650, 0xb5d84ff8, 0xc38c22bf, 0xc508a4d9,
+    0x7ca6a005, 0xbb73491e, 0x1c76366e, 0x81738d49, 0x1a7e989e, 0xb556054b, 0x522503ce, 0x8497a26d,
+    0xa4fb7e9b, 0xeb04c6d2, 0xc0577c4d, 0x05d765cf, 0xb78c48d8, 0x6a2263c3, 0xae622cf9, 0xdac8bf58,
+    0x2a75fad5, 0xa350d0bb, 0xa34fea6b, 0x233ee5b6, 0x39edf7ea, 0x53f15e11, 0x302f2459, 0xcd5ed906,
+    0xf7978d0f, 0xd4cba1fc, 0x90b6d9ad, 0x4b13fe2a, 0xcdec2fbe, 0x2c252b19, 0x9b2c8821, 0xda897f4b,
+    0x80ead96d, 0x0fdc8c06, 0xae93353b, 0x815c12ed, 0x3e09c97a, 0xd6d3c519, 0x7199002d, 0xa92a0174,
+    0x88126eba, 0x6d319ad8, 0x95bf7af0, 0xa3b09379, 0xc40ecdb0, 0x2943200d, 0x7b5c55a4, 0x3891337c,
+    0x854581bd, 0x371d0a72, 0xe58e6fc6, 0x5c06b334, 0xd09dee48, 0x9ed1b381, 0x1ab16068, 0x2ce5e5e0,
+    0x3b1aa852, 0xf60cd314, 0x61083ed4, 0x31e02709, 0x8a998f07, 0xa70bcf74, 0xe14bc6e2, 0xacf9b986,
+    0xf1b70d38, 0xb2e7cdbc, 0x971b56c4, 0x08d2015e, 0x275120f4, 0xe3748c8a, 0x8c059b94, 0x817602e6,
+    0x8fc41891, 0x588acce4, 0x9f6782b7, 0xc6409c29, 0x7df42d61, 0x4324e1cf, 0x1da14482, 0xbea1fab1,
+    0x9a74859d, 0xb8eee1d8, 0x0febab74, 0xf14ae497, 0xc018244f, 0x9971a919, 0xbf7dd7d5, 0x4c7887e6,
+    0xbc28e4f6, 0xa4a6f96c, 0x3de08963, 0xb71802c4, 0x81bc66d4, 0x319e3e2d, 0xe9ae3ef9, 0x3adf236a,
+    0xf2651327, 0x520e714c, 0x5b43eb5d, 0x2c2aafc4, 0xec2e225d, 0x3ca0db8e, 0x81870be9, 0x8d1be752,
+    0x00000000,
+    0xeb0a1af6, 0x55b1d685, 0x9d1f125f, 0xef4eea8f, 0xce833287, 0x404173c2, 0xa748db56, 0xff1bd9d6,
+    0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000826319960987810748689894135040963799785505853\
+                         70535152410581099409300723904538918228148651304964410605948901503127919788032 */
+  { 0x00000000,
+    0x2d093b83, 0x1e3db4b3, 0x7101026d, 0xf10789b3, 0x093ee250, 0x94c256e8, 0x8bd395a7, 0x6120b126,
+    0xffe95c31, 0x8df7989d, 0xdcc491d4, 0x05e93a3e, 0xec3fdff5, 0xe54ae5f9, 0x7836d283, 0xe933291a,
+    0xda0a9e54, 0x5ef79f2f, 0x475b12ac, 0xf806614d, 0x1fa83de2, 0x28596d22, 0x05003a66, 0xcfb03bf1,
+    0x3ecc19bd, 0xb231457a, 0x33d1e6ce, 0xba91cb22, 0x84103194, 0xde33a4fb, 0xd2fb6da5, 0xd589c8f4,
+    0xb54d11a0, 0xc207f44a, 0xa58bf8d0, 0xdcbeaf6f, 0xb4cf6d40, 0xacbff804, 0x8fcd28fc, 0xbfec4e91,
+    0x6cef0259, 0x286acfa9, 0x33d32448, 0x4f94bab9, 0x945819e4, 0x338ea6aa, 0xc468f284, 0x24600cc4,
+    0xc2fafbae, 0xe4a69a3c, 0xd20c2a75, 0x0fb9fc2e, 0x3b315912, 0xf21f3b87, 0xf0102528, 0xbb92cbe7,
+    0x815fb54f, 0x6453f0d0, 0x21f1e6bf, 0xe6f97854, 0x222a4e05, 0xddcc3cb4, 0x4ebfac36, 0xeb018d7d,
+    0x56658979, 0xa05fb43c, 0x53e68ea6, 0x8bec4e50, 0xde02dfef, 0xf9dae11f, 0x2854d993, 0x612ce7b7,
+    0x56f3a7d7, 0xd23b1731, 0x43744864, 0x203dea40, 0x8f753ffe, 0xca3b893e, 0xb59d2ad4, 0xc947e6ff,
+    0x1d57a932, 0xe0b4df96, 0x69673971, 0xb44ed40d, 0x8ee0ab63, 0x5a5e38c5, 0xd88de3f4, 0xf7fe9107,
+    0x480ac997, 0xc35a8ef9, 0x5729a236, 0xa1734338, 0x7f4ee2ab, 0xcc6c15df, 0x4e959187, 0x1cd1eed1,
+    0x9718c01b, 0x0c317866, 0xc6a37c22, 0x46a7f639, 0x7c044794, 0x94d88990, 0x0a926975, 0x0837c33f,
+    0xf91741f3, 0xf64215de, 0xbe10575c, 0xa78ba580, 0xbf6a6e1d, 0x1d8e3499, 0x67273134, 0x0ef9afc9,
+    0x85611917, 0x2028b258, 0x1f59d30f, 0x5f773acd, 0xa2c0c980, 0x917cf541, 0x33d079ba, 0x0020d14f,
+    0xfd411a9d, 0xc28e6a40, 0x14024d1a, 0x616769a4, 0xe7cad0b8, 0x7cb5e3fa, 0xc9bb3e12, 0x60c786fd,
+    0x939add25, 0x8f1ccee1, 0x9d3a77ce, 0x45b9212c, 0xf9224e60, 0x025ea55f, 0x78dddf1c, 0x2c642fa4,
+    0x5e9565f8, 0x36e1e70a, 0xaa15376d, 0x2c29557e, 0x900d3ca2, 0xfe61cc4d, 0x8b94c6ac, 0x39397e23,
+    0x902d6dc6, 0xb78cc4e8, 0x8d16b607, 0xbf75422d, 0xd4f86879, 0x955e3570, 0x1e5ba4f8, 0xbea9d8ad,
+    0xfdbc9060, 0xe83256f4, 0xcf19667f, 0x582976ae, 0x54d87b72, 0x87aabcc1, 0x263902d4, 0x33e401f1,
+    0x0f5dfe61, 0x0eeb6e9b, 0xa7bc89d9, 0x7a565927, 0x323648e8, 0x435f29da, 0xbe03ed80, 0x724027fa,
+    0x392a4c57, 0xb4a085c2, 0x1698219b, 0xbd8dd1cd, 0x0a06ddd1, 0xc92b8f0f, 0xd1fb30e6, 0x3f275707,
+    0x7339d78d, 0x9b1005e1, 0xaa98f6aa, 0x9460bce2, 0x66428e3a, 0xd9e32e48, 0xcf9fb7a8, 0x87a17bf8,
+    0x90e7b6b7, 0x9ae5f0ea, 0x99af6be9, 0xb5d2e854, 0x43202564, 0x33da3444, 0xabd1f7b6, 0x4b3938b7,
+    0xa19f9120, 0x4440e299, 0x4397fc72, 0xb16193db, 0x558a5c1b, 0xe3fb51bf, 0x747f9a31, 0x8c41076c,
+    0x8cd3dd93, 0x53b4ab4a, 0x3d7966a1, 0x2f06badc, 0xd0e0d7a9, 0xe8daeb7b, 0x95c53047, 0x1dc0eb3e,
+    0x4a70cc90, 0x84f18317, 0xf140b474, 0x973b83ef, 0xe1a5e43c, 0xe93d956a, 0x46010460, 0xdc5cb96f,
+    0x2bda6f37, 0x0893e083, 0x88eff4bc, 0xf4f40458, 0x3d026d91, 0xb1e8c19f, 0xeaaea671, 0xe23c60af,
+    0x30bc414e, 0x70b1ce7d, 0x12947286, 0xd862598a, 0x27702f9f, 0xcfbad3fa, 0xd6c5907c, 0x1c518031,
+    0x8298e5e9, 0xf9008921, 0xc096e81b, 0xc12437b2, 0x8c6e7528, 0x9b9eef1c, 0xce0db283, 0xd8d0a639,
+    0x2444dfef, 0xde31c58c, 0x7c40fe4c, 0xe7f52fec, 0x9a49bded, 0x0fdf82e0, 0x598b830d, 0x69cee7cb,
+    0xf1c0f545, 0x13e41fc6, 0xba021666, 0x67960f3c, 0xa010e421, 0xc0c75d6e, 0x575a926e, 0x468de85a,
+    0xaff97895, 0x4f9fecc4, 0xa46ffd01, 0x172d14ec, 0x6a43a8f0, 0xf4075350, 0x11252547, 0x3a926738,
+    0x955ede3f, 0xca17e039, 0xdfcf47d6, 0xcb89d459, 0x78ddc5f1, 0x58187596, 0xd1fc49fc, 0xb60aa6dd,
+    0x7b627705, 0x117132f6, 0x9010ec6e, 0xdada0c69, 0xb0b381b5, 0x6089df5f, 0xc2c6496a, 0x046b439d,
+    0x0537916b, 0x83a0d201, 0x11dd282a, 0xfb6ed9e5, 0xa3a8c865, 0x2d9e273d, 0xc598849b, 0x9ef1224e,
+    0x54e0085e, 0xdc69ffe3, 0x277d4e2b, 0x556ba49a, 0x8327f813, 0x08d4498e, 0x1f893b3d, 0x367db706,
+    0x4053efc4, 0x33b16d3d, 0x8bc31eba, 0x1bb33db0, 0x9009c1bf, 0xc384b21a, 0x9de00267, 0x42771618,
+    0xd3bfd1b2, 0xf02e5132, 0xffda31ef, 0x9ae547e2, 0x77f90307, 0xd1c902df, 0x560acca2, 0x7d69f7ee,
+    0x20f2f91a, 0xaa2eafe6, 0x5723d03f, 0xaf340899, 0x3940fa0a, 0x3d89d461, 0x72e63db2, 0x02999814,
+    0x6e71e0b1, 0x7c5e698c, 0xa9308750, 0x6eb8536c, 0x33f20d26, 0xd84d4268, 0x26f7d5e6, 0xd21d1881,
+    0xde1a2d83, 0x83c6428d, 0x1c462d0d, 0x1016d977, 0x6d5aa242, 0x71fda08c, 0xe90a0c66, 0xfd1aef28,
+    0x05cb064f, 0x939fed39, 0x9873042e, 0x67263094, 0x6ac8dff1, 0x1041f84e, 0xdf09695f, 0xc6c8fc3b,
+    0x0187ad1a, 0xf30cf202, 0x0f24897b, 0xcd75c28d, 0x807026f5, 0x9311fccb, 0x33640d41, 0xd439d9e9,
+    0x304b165d, 0x90fd3658, 0x25cc9828, 0xbe11168e, 0x6dcce46d, 0x36699937, 0xc1fd2745, 0xe41a63c2,
+    0x3aa343a0, 0x55fc0c75, 0x8c38bbec, 0x3aa78d5f, 0x54e08d72, 0x6bded8aa, 0x6a4e1248, 0x6289a18b,
+    0x00062fa3, 0x7c5740be, 0xf1fd3395, 0x66a04359, 0x5e4d25d1, 0x4b06f521, 0x12ca0776, 0xc426cbf9,
+    0xf8914bde, 0xad0b3d7a, 0xb0806fd6, 0x3213c56c, 0xeb4fc4de, 0x58de3127, 0x61a09b6d, 0xe0118387,
+    0xe7589eaa, 0x1f15ddaf, 0xb8e6d535, 0x50762bef, 0x7a3f7cb0, 0xe67e32bb, 0xdbfd0d0b, 0x9cd087e0,
+    0xe7be0d2f, 0x83b89b1c, 0xe2ddd3d0, 0x962f62e2, 0x78703c74, 0xcf64ab8c, 0xca3a0679, 0x16e66cba,
+    0x2a909973, 0x1fc28206, 0x3fd087d7, 0x9f557c93, 0xa62fc2d9, 0x034e5ec0, 0x5d965ffd, 0x3f3e45a8,
+    0xab3cb10d, 0x20e94765, 0xeb4159e0, 0x723ee9e3, 0x8d5d079e, 0x64450926, 0xfb215071, 0xca16f495,
+    0xd51a5e50, 0x75421db1, 0x75385b87, 0xb09bf15a, 0x555aa330, 0x70755a49, 0xa8457705, 0x391e9e3f,
+    0xd430eb68, 0x058242be, 0x5ef18c45, 0xfba56443, 0x044b9635, 0x3e8e6f9f, 0x94a9707f, 0x5a50cb50,
+    0x09c445a8, 0xac7bb5d9, 0xbcb153d7, 0x06d0bcea, 0x0e17a60e, 0xd8c4704b, 0x7000c251, 0x3e5240b3,
+    0x789bf4ae, 0x15204dd7, 0xc43c8657, 0xd8f67f2d, 0xedd27add, 0x04fb7114, 0x045c8efa, 0x6c0c9da1,
+    0x33b95f7f, 0xf3d04e2c, 0x60303199, 0xd76fd8d9, 0x02355501, 0x6def2446, 0x130f63fe, 0x967244c6,
+    0x96fe37bf, 0x217cb53a, 0x888157c1, 0xf3e54854, 0xf11083f4, 0xa40bc41c, 0xe391a16c, 0x2cccb00b,
+    0xe36907eb, 0x6b32c6bd, 0x8ce67576, 0x369b13bb, 0xc12bfed9, 0x31a21616, 0xd06f086c, 0x31edf706,
+    0x946881d0, 0x898c5d6f, 0x82ec9cb9, 0x8fc46bbb, 0xd38c89bc, 0x781c47cc, 0x9b13ced4, 0xc7369f7f,
+    0xc84010d2, 0xb11207b8, 0xeace3a9f, 0x8d9110ac, 0xceca6f47, 0x1f6f43e1, 0x5c70191f, 0x1ee5ca80,
+    0x5cbd37be, 0x436bf095, 0xa3854bcb, 0xfabd2007, 0x7ddd15db, 0xb9a856d0, 0xfc3471d5, 0x8b08b2a7,
+    0xbd45d3be, 0x1d777649, 0x86f90b94, 0x7ddef31a, 0xa9c6b5d3, 0xfe408e20, 0x58fe2be4, 0x7f5f8570,
+    0xfd996200, 0xf26f90ee, 0x6e67dfda, 0xf9200f74, 0xaa943587, 0x5083b81d, 0x9c8ccf9e, 0x6881f787,
+    0x3dc736a1, 0x47429f77, 0x764e0360, 0x8013f73c, 0x16d7e2fb, 0x24f4d2c1, 0x65103e63, 0x29a2b49f,
+    0x65baf336, 0xae827f78, 0x1c1f6988, 0x05b9c406, 0x3e53194f, 0xd61f7238, 0x3b502095, 0x366ca388,
+    0x21e1b8f1, 0xdc899310, 0x83594bbe, 0x87eadcad, 0xa56859a6, 0x1424c9a2, 0x30726e61, 0x8e976ce8,
+    0x693c01f9, 0x4f463b5b, 0x9e8b7699, 0xefea3fd5, 0x7f1b5aff, 0x148bf5e8, 0x063387ce, 0x69ebbe28,
+    0x2dac3afa, 0x349ac8d6, 0xc119c443, 0x413dd00b, 0x63d9fcd0, 0xcfcd78f9, 0xc33987ea, 0x076c8063,
+    0x330b8082, 0x93aadf21, 0xccf8f0e0, 0xbbd0af44, 0xb1c45f9c, 0x7d4f7aac, 0xe967229b, 0xc5039e1f,
+    0xf8612384, 0x1131edb4, 0x2090ffb8, 0xccf8ca9d, 0xa58ee328, 0x4c0d352d, 0x12e14a11, 0x38ca35e6,
+    0x7f22ae3f, 0xd357ddeb, 0x9868328f, 0x4fdc5193, 0x7d4b9474, 0x2a0dc250, 0xa78718e9, 0x4fde11e6,
+    0xeb85d741, 0x85b83af6, 0x5d343ba9, 0x3c65c333, 0x70a8fa74, 0x5706424d, 0x74d6e0b2, 0xae3e73a9,
+    0xd992c7f5, 0x7b0491e6, 0x377a1106, 0x6d213f85, 0x1be2660d, 0x01820d8e, 0x1733e6b1, 0xb9295810,
+    0x8a5eccba, 0x16a25320, 0x8d014f2b, 0xea4283ae, 0x7258187b, 0xfcef1bcd, 0xd2a11082, 0xf6b657fc,
+    0x7fab9218, 0x9627647f, 0xdc9961fe, 0xd6b30277, 0x156c7c76, 0x421b655c, 0x2cabffb9, 0x07efa00e,
+    0x35845349, 0xe70a1615, 0x0c70c55a, 0xec471d5f, 0x50bcf908, 0x8ee1c666, 0x66bbd529, 0x5f59cbac,
+    0xd583759a, 0x3ad996eb, 0xf79addae, 0x6a48ed12, 0x285b9406, 0xc371af00, 0xbb72b52c, 0xd1b5d583,
+    0x2513038c, 0x5500cc95, 0xe2000390, 0xa05daff3, 0x3e2a7175, 0x4f297850, 0xbf4db5c3, 0x1aa5015d,
+    0xb79c4d36, 0x08e439cc, 0x06c37d9c, 0xff4672c5, 0xc1d5b9f8, 0xbd570800, 0x8916ed89, 0xcd88f7eb,
+    0x8ef64480, 0x23ebb0ff, 0x1ff2b652, 0x5ae1d91e, 0x3e5822f1, 0x7f800c33, 0xa2f44979, 0x3879b226,
+    0x4e0a0098, 0xa0d17e2d, 0xbea1777a, 0x83e0fef4, 0x0731546a, 0xd0b3a2f9, 0x51b8764b, 0xdac38ee5,
+    0x001524e0, 0x28c9c8d5, 0x45cc5fa4, 0x3ce4a94c, 0x0b2d13f3, 0x8b837151, 0x7f2e4b62, 0xbf441804,
+    0x9d10dd7b, 0x765d778c, 0x8c42dd1d, 0xfd2a71cd, 0x1b0728dd, 0x75318c3a, 0x9de7aef1, 0x8227c111,
+    0x67a42508, 0x8b5edbc6, 0x29e88a5c, 0xeef519fb, 0xe64043c6, 0xac3792f0, 0xd67ccf08, 0x9caffbf1,
+    0x18ac994b, 0xfd2b886f, 0x5985e1f9, 0x5a544d82, 0x418a9386, 0xfe6672e3, 0xa0aeddec, 0xec6c2405,
+    0xb29bc7f2, 0xe59e31eb, 0x98f1beda, 0x73bd3d6a, 0x4f9add12, 0xb0fb67db, 0x1e615a65, 0x8cfd6228,
+    0xb2f2e56d, 0x60eb75ed, 0x2a05f6c4, 0x5c52bd74, 0xf8457f15, 0x5775abc6, 0xa14f7fba, 0xab192a98,
+    0x1e8fdc32, 0x9de21e4d, 0xae28ad0a, 0x94f919f5, 0xc6238477, 0x7a0b9b22, 0x856fa7c2, 0x19fd4659,
+    0x7660e45f, 0x6e617a80, 0xa0c4588e, 0xce670034, 0x98f345c3, 0xa0ca147a, 0x805ec121, 0xa5f1a4bf,
+    0x24b83941, 0xd4384490, 0xd6c30099, 0x90fc2494, 0xbcf544a3, 0x0dae5f6e, 0xb0539463, 0x60ad531d,
+    0x0371a593, 0x097b8ee9, 0xe208af90, 0xac2cbe04, 0x96dbe82d, 0x7d9e09c6, 0x902b245a, 0x155e5676,
+    0x4ae54b20, 0xcf239024, 0x9d02e115, 0x3b38cbb9, 0x9ff939c2, 0xc316050a, 0x3f66cd5f, 0x3709305f,
+    0xc295ff4f, 0x53a1e936, 0xc05a6e68, 0x15ec249d, 0xbe25b7d3, 0xd4babbc7, 0x481d7b05, 0x5a2fb250,
+    0x2ceca5f8, 0xf1443610, 0xc15b1965, 0xe4dd1e36, 0xed07a755, 0x22eb7004, 0x32601669, 0x405c16d2,
+    0xea4d21f9, 0x69800834, 0x73bb5f46, 0x46ea9535, 0x0b288c10, 0x540b4e39, 0x04a770dc, 0x909061bd,
+    0x9d9c3705, 0xcf2818f0, 0xe29d34aa, 0xac8b6b6a, 0x2c6a159c, 0xfb2848b1, 0xdecd1c5e, 0x020975c3,
+    0xf3780730, 0x74386a8d, 0x0a7c6f2b, 0x82a8a2d8, 0xe72770b3, 0xcde14154, 0x720a34d7, 0x6f621043,
+    0x1ad89cf6, 0x68d897ab, 0x5975991a, 0x349d86c6, 0x3145c9c3, 0xea43331e, 0xf9257f67, 0x77ececea,
+    0x1c522440, 0xfc888fc1, 0x00556edb, 0xc78ea219, 0xd1a2eeb9, 0xb9e446a3, 0x01c9c459, 0x586b1ae1,
+    0xb9240a7a, 0x0707bb1b, 0xc553e914, 0x7b6e406c, 0xb43f475b, 0x96910d0c, 0x5a71aeca, 0x69b53004,
+    0x3cdd7a07, 0xb6e288c5, 0xea63f2fb, 0x879aaf78, 0xf45aceea, 0x80adbb32, 0xe228ecbd, 0x9757a063,
+    0x66d2be54, 0xc6b644d1, 0x8eacf4a0, 0x8582d55c, 0x3afe2f42, 0x6bf9588a, 0x06c65d22, 0xeba4dc9b,
+    0xe0e75524, 0x24977162, 0xfb5568af, 0x00149efe, 0x40d48e51, 0x93ff57b5, 0x1d928167, 0x1bb5caea,
+    0x4996c192, 0x3467e0fe, 0x12b7110c, 0x00ac46c3, 0x52fb1f81, 0x5bc1fcae, 0x87c348ad, 0x2b4382a1,
+    0xc7af420d, 0xef668572, 0xfa8fac45, 0x265dd394, 0x58c5be8d, 0x53127c5f, 0x50b0e20a, 0xeb2efd34,
+    0x8e289de2, 0x30a21421, 0x3fdd2bbc, 0xa66e3029, 0xb91359a2, 0x1fcfa86f, 0x60237025, 0x120756e8,
+    0x672c8b08, 0xb58693c2, 0xfe437346, 0xc34e6847, 0x8e253394, 0xc50b13bc, 0xc665e058, 0xb76ae64b,
+    0x92e84748, 0x21380430, 0xe1c33079, 0x719d0700, 0x1cf22f90, 0x46b78681, 0x57d9bdf9, 0x7f7c010a,
+    0x2245dbd1, 0xdae6ffb1, 0x65c5f69a, 0xbeb72087, 0x9204e349, 0xe21dbc76, 0xfe905c2e, 0x4f7cb70b,
+    0x185b2773, 0xd91f5325, 0x976e064b, 0x38e59f8a, 0xf3562467, 0x2e30f42e, 0xb2f538bb, 0x693084b7,
+    0xbaaf72cf, 0x7dbfdddd, 0x59fb5a3a, 0x2da2a230, 0xe4148253, 0x1a86d129, 0x5b7a275d, 0xfd6f4be5,
+    0x551af658, 0x65d1bc75, 0x2a0a1b54, 0x8c3e85f2, 0x4453ccbc, 0x3afc7313, 0x24569ce7, 0xfbd7ac4e,
+    0xf883a8f9, 0xe7ba057b, 0x7ff8b61d, 0x97d440d9, 0xd0e31f6c, 0xec1f7640, 0x4eae3988, 0x09c26d9b,
+    0x191c39c7, 0xa774b4fe, 0x1eaf5b92, 0xd5f100ef, 0x50f9c559, 0xb479c62a, 0x48b78aca, 0x84512677,
+    0xf98f433c, 0x8e7e2b5a, 0x2c4c6618, 0xba396a99, 0xf1472b5f, 0x3d3067c3, 0xb76c405d, 0x3f9eb202,
+    0x0932a991, 0x1ff35de6, 0x42b2b4b5, 0x1bdc985a, 0xb1da7748, 0xd6db25c2, 0x668bde32, 0x0366b4cf,
+    0x0509e0d3, 0x5e3ae1fe, 0xe640d97a, 0xad11efbf, 0x6306a040, 0x575812ad, 0xf8a96d23, 0x439fe944,
+    0x55f1d2ce, 0x50d1406c, 0x10cf98a1, 0x52021553, 0xd849159f, 0x3d564e33, 0xc9fd5892, 0x8cac8bcf,
+    0x140eb7b3, 0x1dde4d80, 0xc9c22d77, 0x2c7b798d, 0x214ec9a5, 0xf62a798a, 0xecf0d0cc, 0xdf4601a2,
+    0x64c5cbde, 0x643ded8c, 0x663cbcf5, 0x880153be, 0x8b78c338, 0xf9746972, 0xe38dcf0c, 0x7a891bba,
+    0x9f278922, 0x0f7a945d, 0x9d197055, 0x1f209d97, 0xea520c27, 0xde84774b, 0xe7a46896, 0x9e2d64c3,
+    0x5ea52812, 0x16ea4cba, 0x2bbddfb6, 0x0e97d9d2, 0x621cedc2, 0xdd6a5d9c, 0x9123d5f5, 0x622cc8c5,
+    0xb5d626ff, 0xb31a968a, 0xe7d6b87f, 0x35e4a6f8, 0x20b515c8, 0xfd0b3bed, 0xa82bf921, 0x2941ef40,
+    0xb1c59143, 0xc490672b, 0xa673be4e, 0x2a0a5ecf, 0xa5ce0e69, 0xacb4007b, 0xf076b753, 0x6411f3d1,
+    0xf3adf9a2, 0x9968a17a, 0x8b8edc4b, 0x2fe37f34, 0xb0674ba8, 0x88f91e37, 0x00b522dc, 0xbe1019cf,
+    0x00000000,
+    0xf5850d7a, 0xaad8eb42, 0xce8f892f, 0xf7a77547, 0x67419943, 0x2020b9e1, 0x53a46dab, 0x7f8deceb,
+    0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000413159980493905374344947067520481899892752926\
+                         85267576205290549704650361952269459114074325652482205302974450751563959894016 */
+  { 0x00000000,
+    0x3d787988, 0x8fe3fa05, 0x3920f47d, 0x2d8a00b4, 0x910d7db2, 0xc62c7bae, 0x4380b51f, 0x84e42482,
+    0x4686d050, 0x0ecfacd6, 0x9b812dcf, 0x45c51edf, 0x6a9c1d99, 0x66d3ec12, 0x9824aa22, 0xcc7fee94,
+    0x1754ed68, 0xc57acf78, 0xb7ace25e, 0x60c71d3c, 0x4ed15e48, 0xfa1c32a0, 0x25666f56, 0x8ebe3737,
+    0xeb774ebf, 0xfff460a5, 0xe94a66b1, 0x9e9b7074, 0xb6dc09fd, 0x1ee6aa90, 0x05ddc1c1, 0xa731006d,
+    0x0879e4d8, 0x984d88a0, 0xa36b03dc, 0xef07e9d2, 0xa5cd943c, 0x7deae2aa, 0xff4df916, 0x5f12fbae,
+    0xb5a4fd07, 0xcce33186, 0x0c9c4f49, 0xab4f996d, 0x069bd12b, 0xb2316add, 0xe68d9656, 0x20733489,
+    0xc3e0e2e1, 0x67490718, 0xa472a55f, 0x50959715, 0xebe78078, 0x4545d090, 0x66619a7e, 0x2c5b04db,
+    0x0f6f2b7e, 0xb7f11ef6, 0xc7e5c309, 0x8a118a20, 0x5585b4e9, 0xafc33cb9, 0x037d513f, 0x5032825e,
+    0xb7a9348f, 0xac8f39f0, 0x549cfa7c, 0xe3e77d54, 0xdaeae0dd, 0x1523d1f1, 0x4e0845df, 0x169ec9ad,
+    0xdf09cc33, 0xbab91261, 0x9588e7b6, 0xf00367f7, 0x4328cd2f, 0x53bbad60, 0x77a594d7, 0xcc370678,
+    0x64593cbf, 0x5fb7ea9f, 0x7fe12e3b, 0xfeb40347, 0x370c122d, 0x59637c84, 0xa80d64da, 0xf8859947,
+    0x29caefc9, 0x47461b47, 0x9cda41e7, 0x4f69b427, 0x030fa5d0, 0xf2fe9fe5, 0x097f29cf, 0xddc754c6,
+    0xdc5286d2, 0x7311600e, 0xaf2032b1, 0xb78ecd10, 0x010a94d1, 0x9ec8696d, 0xb7ea0062, 0x420cd730,
+    0xe6f45e37, 0xa2ab29c6, 0x87a3b6ef, 0x82ea1a6d, 0xc113f1b2, 0x913f6846, 0x234436ea, 0xbc4b75bf,
+    0x9caa3349, 0xa165249f, 0x0af8e827, 0x4d5fa4f6, 0x835b1a38, 0x28cc0051, 0x3a1636c2, 0x3057c6d3,
+    0x304f3355, 0xd5c2f15e, 0x3ff443c7, 0x9a843aa0, 0x26207793, 0x297f271a, 0x75e2644a, 0xfa8a7bc7,
+    0xdc5ce7fa, 0xcb42e1d0, 0x6e276278, 0xba1c74af, 0x5b99210d, 0x1f3ada29, 0xebb1ae10, 0x082e9f3b,
+    0x54040bdf, 0x66711ee8, 0xc9596150, 0x38742e1c, 0x83ce90eb, 0xc723a0ec, 0xabd4616c, 0x1edd317a,
+    0x3561755f, 0x47c7dd65, 0x6506815c, 0xdd583cf1, 0xb27a4860, 0x71a0550c, 0x281673f9, 0x729a3c71,
+    0x31a73a11, 0x5c2479f5, 0x64d8aeb9, 0xbd433099, 0x01315f33, 0x397d9617, 0xc9c9f5b8, 0xbfc5b6df,
+    0xddb4b97b, 0xc821e7a9, 0xc6c6759a, 0xa579407e, 0xbdbe3ac5, 0xe9a97ec7, 0x406c929f, 0xb570f4be,
+    0x26c821a6, 0x7bb108c4, 0xba145dc9, 0x274a5b02, 0xf4ce2ff0, 0xf6c8fa0c, 0x53ed0e7c, 0x13629587,
+    0xe1695d25, 0x43d88083, 0x0efae415, 0x1a34d21f, 0xf8fea17a, 0xbf631ea0, 0x717da778, 0x58681aca,
+    0xea743ab3, 0x78786ffb, 0xde08e46a, 0x17440412, 0x34e2cc12, 0xf141b52d, 0x8e1236a2, 0xb4c2c4bb,
+    0x859b2c80, 0xc01bc95d, 0x8355653b, 0x77cdffbd, 0xd0244420, 0x4ae96256, 0x2b8b23ec, 0xe7a403e1,
+    0xa08aba74, 0xbdab985d, 0x2f5c05ac, 0x9a2aeb75, 0x8ddaadd7, 0xe5c71a11, 0xdc8c644b, 0xfcc1ceb0,
+    0x46c7f8a3, 0x3dda2cfe, 0xd40f28a5, 0x0fd4f219, 0x61134162, 0x43be5733, 0x52c9c7e0, 0xa8739c83,
+    0x08c76c2b, 0xfc0f8956, 0x7e1ad120, 0x1bf15763, 0xa3a24366, 0x18e406a1, 0xa8aa298d, 0x24827e07,
+    0xd9ac044e, 0x0120178a, 0x5f64cc17, 0x1ac7b070, 0xf50c655d, 0xe9f7567d, 0x2682304d, 0x263c3645,
+    0xa6d490bc, 0xdf798e66, 0x1d38e2e2, 0xc88265a3, 0xb853d215, 0xf7a8fa15, 0x4b16d0b4, 0xf44efc2a,
+    0xf5241559, 0x6a6d7d35, 0x6fcf732e, 0x28b95d8c, 0xb297a1f9, 0x28500ac1, 0x2cf34af7, 0x16cbc3fe,
+    0xbd76cafd, 0x8cabd788, 0x7d6bd24f, 0x41f03c57, 0x88718b24, 0x629b386a, 0x27f32dd1, 0xf5f7ff9b,
+    0xd6a1655a, 0x2ca1ef18, 0xfdc46d29, 0x576f3d44, 0x87e0779a, 0xa30a006b, 0xf1ca064f, 0xc1ad57f4,
+    0xe5d7faf4, 0xa27d76a0, 0x11a53ad3, 0x06a4642d, 0xca2b3fb6, 0x7f08da92, 0xfaf0477e, 0x34502568,
+    0x406fbf6d, 0x1ac514be, 0xccd64116, 0xb3e3b432, 0xa5bef20f, 0x7b839e9a, 0x056ea0ff, 0xdf1953c0,
+    0x3eb2fb0d, 0x532e073d, 0x56a8b76c, 0x0d9c4b5d, 0xcc4a8191, 0xdc1371af, 0xa6d6445c, 0x3b6ddad0,
+    0xedea7a52, 0x9eb3e1a0, 0xb660bdc1, 0x82eba403, 0x156fe9a3, 0x45bb7643, 0x2049e12c, 0x09573a43,
+    0x7f72b1db, 0xb4562982, 0xac74d113, 0xb2f4fa63, 0x1e0cd5e0, 0x9cfdd5b7, 0xafde83af, 0x237615f5,
+    0x4e2d7317, 0x4cdde76e, 0xa21d04b7, 0x208693f8, 0xe3a160c2, 0x501f700d, 0x2bfb616b, 0xd4ad1e57,
+    0x83a8a166, 0x2e529e6a, 0x42528ebd, 0x2cf2c0f1, 0x0c96c4c0, 0x5f41b9e2, 0x2ce0e239, 0x0dc0e9f6,
+    0xd4b9de79, 0xfe011d8f, 0x9c081460, 0x926314f6, 0xd252afa3, 0x9b4867b8, 0x0fa3a0fd, 0xf780023b,
+    0x88da3bd0, 0xfc7f6424, 0x4723a868, 0x87b8fd67, 0x1145934a, 0x89325928, 0xe6b93161, 0xa09f9fb8,
+    0x47f8dea0, 0xd2b9e83a, 0xeddc4e70, 0x610593a2, 0x7ac6d807, 0x25fd81cb, 0x76483b0f, 0x8a68422d,
+    0x0aab97f4, 0x00fb6165, 0x1d4acaea, 0xbaa97165, 0xf3b5816e, 0x1bc62093, 0xe55efebe, 0xcdfd0318,
+    0x2c285922, 0x7f6c101c, 0xcd1c485e, 0xbc9d60a4, 0x76952a25, 0x2c7d3168, 0x59605f2f, 0x5f4dc27f,
+    0xb0f3953e, 0x9fa0763a, 0x15070015, 0x10d213b5, 0x28a5d305, 0x4900f5d2, 0xc88a66ee, 0x8e718b3f,
+    0xd915f27f, 0x1024f4d5, 0xb06aab1f, 0x87d2fe8c, 0x1aff20fc, 0xaddf7777, 0x38012f94, 0xcb0d1be3,
+    0x5ade5b61, 0xd2136ca2, 0x1654dd1d, 0xbb548042, 0xaa20164b, 0xe0e45625, 0xcd21c595, 0x517bbbac,
+    0xa1a546ea, 0x6b9e8b3f, 0x31e027d9, 0x0def332c, 0xb969755f, 0x8130c54f, 0x28795040, 0x8d3c1107,
+    0xc39a0aa7, 0x2b76b9b3, 0x977d5605, 0xd637edb1, 0x81c6f162, 0x17bbc62d, 0xdf2309ae, 0xf9a864e2,
+    0x094bcb2f, 0xc54586d3, 0x17a358ea, 0x052048dd, 0xd5b72bf1, 0x9f18dae3, 0x32feeb15, 0xd0c6a95d,
+    0x2572c107, 0x2f804db5, 0xa1a64e8d, 0x625f79b3, 0x08b9c592, 0xe4fadc54, 0x283f88d8, 0x52206855,
+    0x60f012ba, 0xb60adb2d, 0xf89bc563, 0xc22f3a54, 0xc491bb9c, 0x2c3d754c, 0x75d43867, 0xd8afb201,
+    0x58254a01, 0x8b60e4e0, 0x69907d94, 0xfcc3d3f0, 0xaee5dbf4, 0x0b04db4d, 0xe2292a36, 0x09fd9163,
+    0x0988fa00, 0xce6a7486, 0x83fee690, 0x54ca00c1, 0xbbc0e930, 0x0ae19f49, 0x83d0d0fa, 0x9a8af99c,
+    0x13c188ce, 0x1004cd26, 0x0471edb1, 0xd58b4519, 0x12ef5668, 0x8db29622, 0xd28c2bb7, 0x54b4ebf8,
+    0x831a2233, 0xdd972222, 0x6e64c399, 0xef73a94e, 0x81764d7a, 0xfb2a6184, 0x285fcde9, 0x06edf612,
+    0xe15bcae7, 0xa6995967, 0xfee74ad7, 0x166aaf46, 0x982d8175, 0xd5a44d1d, 0x44a08f27, 0xd7634028,
+    0xefa7b13f, 0x12ef65c3, 0xfae6a0e4, 0xb568adab, 0x75f3e47b, 0x01964826, 0x94965a18, 0x381f8914,
+    0xe64c25fc, 0x6f531723, 0xeb1a0a3a, 0xfa1b9609, 0x41c8bb88, 0xe0f36dfe, 0xc056abed, 0x972cab4b,
+    0x3be4dc25, 0xfb4f35f2, 0x35bdafdc, 0x8611a7c8, 0x041e3b8d, 0xfde5045a, 0x45ea6b64, 0x27698ba8,
+    0x3bdc437d, 0x7f3edbfb, 0x59d2db6d, 0xb249a44b, 0x230c516d, 0xd45c5867, 0x20f3d2f9, 0x4bb8a2ac,
+    0x4204977b, 0xf6c5752c, 0x0cb29840, 0x0322c2a5, 0xeba30b0d, 0xddcb9ba0, 0x68f6c0c6, 0xf0c2c09a,
+    0x726f5151, 0x0704534e, 0x7aeabe49, 0x5f61f36b, 0x69a793d7, 0xf71a1b77, 0xd231672d, 0xdb6d7e76,
+    0xc102452a, 0xf671a5f1, 0x51ec3490, 0x384e6235, 0xbdc28e04, 0x73862e69, 0x8367d5c8, 0xc1d38ca5,
+    0x92952080, 0x882f9a51, 0xa970df7e, 0x6a4a1014, 0x6ff142d8, 0xe08a8dd7, 0xbb1f3776, 0xc41c2587,
+    0x529efdd3, 0x1e6f0190, 0x7e670a99, 0x0e8d8e42, 0x9412d458, 0xeb3aa2ca, 0xcec5a1e2, 0x805221cc,
+    0x47f8cbdc, 0xd352dd0d, 0x1bbea339, 0xc2b00bc6, 0x4259df08, 0x79eeba00, 0x78a065a0, 0xbe7fb84f,
+    0xbe0ddc54, 0x422d7c87, 0xfc78d825, 0x60fe6f78, 0xb24e207d, 0x8cb277e0, 0xab65288d, 0xa87f0ddf,
+    0x92f82c5d, 0x7391e565, 0xe9a4988b, 0x38001577, 0xd7db052c, 0x7364d679, 0x4b2a4d6a, 0x547f83c7,
+    0x65d8bee9, 0xa9366075, 0x847629f9, 0xec380276, 0xe7284f62, 0xfffc8c08, 0xab3753de, 0x67354d2c,
+    0xdd8bccc0, 0xa752f3e3, 0x249e1747, 0x126f545a, 0x94810f48, 0x4c97f83d, 0xa0774271, 0xc1071169,
+    0x5ddf7c35, 0x9a3719a2, 0x0a4799ac, 0x2a9c039e, 0x6965e80a, 0x8f27670c, 0x2687a46f, 0xf45703bd,
+    0xe18a8dff, 0x64542cf8, 0x8acbb356, 0xbb628650, 0xb1f701e1, 0x9e8739c4, 0xf2f8836d, 0x073b5997,
+    0xedb35979, 0x25dd5ed6, 0x7ceb9600, 0x4dd4a549, 0xad4fc53f, 0x633fcab8, 0x1eac4476, 0xd2bdc6bd,
+    0x9abbd36e, 0x60073584, 0x8d1328b4, 0xf41a3175, 0x8198503b, 0x8490f2fd, 0x8746d470, 0x28165768,
+    0x26bcac72, 0xf849fa95, 0x17258835, 0xa6d0e586, 0xa5c63da5, 0xdde13cbd, 0x4e5897fd, 0x1061102e,
+    0xe2cd9508, 0x9b2158b9, 0xee476ced, 0x2d5749a3, 0xd0b55ef2, 0xff00aff9, 0x0203006b, 0x9dd3cbb2,
+    0xb9909ace, 0xfe9cb7bb, 0x012e2b26, 0x560fc7a8, 0x1f394ea9, 0xbcb0ea31, 0x1fbb6a7c, 0x49f4a9b9,
+    0x8ad741b3, 0x01517ea0, 0xbcb435fa, 0xab7da86d, 0xc3475870, 0xceb51949, 0x8411401a, 0x1cc07b98,
+    0x3a574b6d, 0x6284d9ae, 0x4924d8a7, 0xadcf1d2f, 0x492dfae4, 0x454dbd1f, 0x19de0a4d, 0x80085e1c,
+    0x36ba447e, 0x19bead03, 0x70ac902a, 0xe5014734, 0x68c5eef9, 0xcc35fb5a, 0xff5aee9d, 0x8ebc122a,
+    0x749f5723, 0xc349b3f5, 0x6310a253, 0x3eb6671f, 0x6a3d2897, 0x67fbc7b1, 0xab79628b, 0xcb393dc3,
+    0x4df36410, 0xd932c12e, 0x1e64b338, 0x8fdc2b3d, 0xd03a12c6, 0x9bd2c63d, 0xefe7cf74, 0x0d965c5a,
+    0x8fb8a645, 0x39c9e823, 0x225c837d, 0xc5a7294d, 0x2fb94f28, 0x3bb4c0dc, 0x5c8340ce, 0x0556f3b9,
+    0xe64ca1a8, 0xc8bbf62b, 0x847e1949, 0x006307d1, 0x3509face, 0xdfc42b99, 0x944cac41, 0x82265e34,
+    0x5e20d719, 0x178e6d52, 0x3eb6a9f0, 0x07582b3e, 0xa8fb152a, 0xd0e14760, 0xd1d540aa, 0xb52112fb,
+    0xb519fe8d, 0x9049406e, 0x59cf169a, 0x895b700d, 0x8a8cb9af, 0xf8dd6791, 0x375cf38c, 0xf35a528a,
+    0x3138f0c0, 0x79a4aaeb, 0x0b4d70c3, 0x59ccf4d2, 0x93c05aa6, 0x25fcd46a, 0x09767dac, 0x0cc6f4a9,
+    0xe470476a, 0xc9ce74c6, 0xd96cdef1, 0x876f2431, 0x32a09946, 0xb20ba4b5, 0xec02a6d6, 0x12d1401a,
+    0xfc09af8a, 0x7e5de537, 0x602f42ed, 0x9db821dd, 0x0dbc65bc, 0x1a5de271, 0x4545fa70, 0x4fe52046,
+    0x557e1b73, 0x13de5823, 0x79d0a848, 0x19695f2e, 0x42b27761, 0x469da200, 0x2f3fb462, 0x44e94190,
+    0x66aed90e, 0x8dc3d690, 0x6f2a3f8a, 0xc7742caf, 0x8b35e4ca, 0xafa7ec8b, 0xa55f8651, 0x23ba17b4,
+    0xaf4909e4, 0xf2d06afa, 0xa76e98b9, 0xfb255bbd, 0x21755b72, 0xbd0e9986, 0x089e7dd1, 0x57530050,
+    0xe60af78e, 0xeb064ad7, 0x7d7c0b97, 0x6a81ba01, 0x1eae8200, 0xe8f11dbf, 0x7a25f7e9, 0xe8acd7e1,
+    0x6a395de1, 0xf89a8d7d, 0x401e3fb8, 0xbd3f15d4, 0xb6199083, 0x35b1d22e, 0x2bb9106d, 0x8d285ae9,
+    0xeacff4e1, 0xf3b2a904, 0xad5a7694, 0xc957ec44, 0xffa93241, 0x3cb5457f, 0x2c56f77f, 0x96a1b4ef,
+    0x31f28fff, 0x35f0f06b, 0x685884d4, 0x4a889c22, 0xd06251b0, 0x45558eac, 0x5f0ec790, 0xc8a266fa,
+    0x1cd08f97, 0x5940ba99, 0x9a41921a, 0x624774e6, 0xa1d72dbe, 0xc736ee7e, 0x48eec807, 0x38c8ca2c,
+    0xa8bc2e30, 0x1cdd16ec, 0x5ea48c13, 0x63fcc4e7, 0x3fe2ab38, 0x946e4cfa, 0x1000b3c4, 0x8d89da70,
+    0xea090a21, 0xa00f233f, 0x043b4d5f, 0x94757356, 0xa6ee41ec, 0x3aa2a6bb, 0x2650d964, 0xb1ddec6b,
+    0x1624eee8, 0xe52e981a, 0xeb3f290b, 0x9253039d, 0xf202645b, 0x96dc24d8, 0x7c12d93a, 0x0aa34410,
+    0xfa5858bf, 0xbbc690e4, 0x22b8d4e8, 0x214fac52, 0xef162130, 0xa96bb80c, 0x023ed976, 0xdd47f44b,
+    0xe6d24a5c, 0x6399c604, 0xa6dde3ef, 0x89762487, 0x1f927d8e, 0x4b635178, 0xe7531a51, 0xa53c85c7,
+    0xc84a5711, 0x280b0a31, 0xe79024a7, 0x6888e42c, 0xb16e46ad, 0x19cdd847, 0xdefea466, 0x47420ed6,
+    0xd1029d84, 0x74028820, 0x1c9c4aa2, 0xf47a26f1, 0xdbc8390c, 0x5d599084, 0x543615fb, 0xb8271a3a,
+    0x1b03df79, 0xebc5c00f, 0xdb4cc2c8, 0x0cf9cd24, 0x17053678, 0x59f50f7b, 0xcd4c63fc, 0x3e1f7ca5,
+    0x6d3a642b, 0x398b0080, 0x1ceab1a3, 0x3f581462, 0x117053db, 0xf3a7aa64, 0xa1ca88a4, 0x22c886f7,
+    0x09c3cbcb, 0x200ad453, 0xfbda0771, 0xc6ee959b, 0x7085cdc8, 0x20c71466, 0x06f3176c, 0x32632814,
+    0xaad1080d, 0x7e7b1450, 0xe1c05da1, 0x67082c6f, 0x5e6a774c, 0x5bff956d, 0x93568c73, 0x5ced5774,
+    0xb6f28afc, 0x6dbf831f, 0x708bf610, 0xce41fba0, 0xbad154ca, 0x412f7aca, 0xdc96e0f5, 0x9aadd236,
+    0xeac58fe0, 0x2de2cd4a, 0xbe2837ec, 0xa8042974, 0x47fb0944, 0xe25af303, 0x8cdeb2e7, 0xee8c1320,
+    0x8740deb6, 0x2798a842, 0x6d0e8bf2, 0x3df215be, 0xbd06e73d, 0x0c96c751, 0xc3ff5bfa, 0x27ed3c8d,
+    0x37b3568f, 0xfbb5dbc2, 0xe7c3a240, 0x787a0c99, 0x7238e93b, 0x5b2165e6, 0x241e99ad, 0x6e051b96,
+    0x3c015c6d, 0xd1c60302, 0x9b544368, 0x10fcc0d2, 0xe07d20fd, 0x6f1909e1, 0x08b621a6, 0x7c8a8c2b,
+    0x5d7419cd, 0xa667ec8a, 0xf26403d1, 0x10115f7f, 0x351b2b07, 0x4fa5c9e7, 0xb2cec70e, 0xb365cf8f,
+    0x0ac2a9ea, 0xb41279fd, 0x83b0eaaf, 0x53a8febb, 0xf8e3fb2e, 0x0feb53e0, 0x29ace5dd, 0x74d103b9,
+    0x3fdc412e, 0x01f09b56, 0xa8fb74f0, 0xb30092cb, 0xdd5a44af, 0x85c80c9a, 0x70ea41a3, 0xc65118ab,
+    0xd7afe2c0, 0x3e1c7159, 0x34ea36b0, 0xf73a342c, 0xcc0750b0, 0x9e64c9e5, 0x774f2311, 0x205ba89e,
+    0x28450a95, 0x40db630e, 0xfe0a4b9a, 0xd6f40a9e, 0x3580d676, 0xd82e9dec, 0x095fd379, 0xad91c9cd,
+    0x6d180c3d, 0x277b83ce, 0x665ba582, 0xbc0853c5, 0xdd1b3395, 0x214eb10b, 0xe18b19b9, 0x69cb06a5,
+    0x066381fd, 0x77ce632d, 0xa549061a, 0x6b3bed22, 0xc54834d1, 0x746110b8, 0x3b701cea, 0x4f3eeaab,
+    0xe42553f0, 0x14559d48, 0xa4afd251, 0x5bce1254, 0x1b872ef4, 0xd7436f07, 0x220c61de, 0xf8d8ab5c,
+    0xfc583569, 0xb2e332c2, 0x998bb248, 0xce9b3e07, 0xf1900b24, 0x3271ee00, 0x79ba1f78, 0x187d5558,
+    0x96fad2d7, 0x21156a91, 0xa95e5116, 0xdcbd860c, 0x726ba161, 0x6514a170, 0xf6f2fdb4, 0x7896b43e,
+    0xf3639156, 0xd82b246d, 0x21dda31c, 0xbf1a2a77, 0xd053095f, 0xdda52d57, 0xc9dd352a, 0xdc94ceb9,
+    0x00000000,
+    0x7ac286bc, 0xd56c75a1, 0xe747c497, 0xfbd3baa3, 0xb3a0cca1, 0x90105cf0, 0xa9d236d5, 0xbfc6f675,
+    0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000206579990246952687172473533760240949946376463\
+                         42633788102645274852325180976134729557037162826241102651487225375781979947008 */
+  { 0x00000000,
+    0xca101b3a, 0x651c3638, 0xec85146d, 0x62833211, 0x24aa0101, 0x38ee251c, 0xbaea8166, 0xc1e7276c,
+    0xca6296af, 0x7d8d3e52, 0x854f27ee, 0xa6074ed3, 0xf5a46a46, 0x2637ea80, 0x467166aa, 0x334c5fc9,
+    0xdc15c904, 0x8aa9c1cf, 0x8ceff1bf, 0x6ec269cf, 0x3bf6190d, 0x16c6cae7, 0x5c3460ba, 0x77709201,
+    0xc7d0405d, 0x14888a5e, 0x758bfc0b, 0xbb95cf96, 0x276f7d70, 0xda7f4d61, 0xd424e0ee, 0x9ad5e86f,
+    0xdbb5f25b, 0x384153f4, 0x961d429a, 0xd0aa8f5c, 0x9158cfb6, 0x1253a9f8, 0x75c44c4d, 0x5b47e454,
+    0xf9e314b6, 0xeb0423fe, 0x27b60e8a, 0x7ac0039b, 0xd4f58d86, 0x4c940b76, 0x63035586, 0x99afa9e7,
+    0x8d73f65e, 0x49af9337, 0xc58a6200, 0xdb246b22, 0xab277d94, 0x43a79884, 0x5485d841, 0xce68c9cc,
+    0xe4756d0b, 0x637eeac9, 0x2f39b1ab, 0x0aa72f75, 0x668a7df4, 0x46248ef7, 0xdb06d7aa, 0xe81063ac,
+    0x0badd9b7, 0xb00da20d, 0x9a0b722d, 0x043d890a, 0xec57ee47, 0xe143c30e, 0x1ff13d71, 0x17a0704d,
+    0xd40079cb, 0x4d7e76eb, 0x30e85aa4, 0x43aea328, 0x0616b9fd, 0x701200e4, 0x97485c29, 0x43e482f7,
+    0x26e1daae, 0xc1f475fd, 0x3a681b9c, 0x700d9248, 0xcbcb1f0f, 0x7e9a1379, 0xaf590100, 0x5441df4b,
+    0x50bd9374, 0x7007d01a, 0xe50332af, 0xf2e0fc99, 0xddea441b, 0x5f791f99, 0x19a62a17, 0x268fa78f,
+    0xdd2c4dce, 0x43d3a5a1, 0x34026354, 0x63748a98, 0xe5b5d1b0, 0xd3a200b1, 0xe0a38c4b, 0x9fb3bf5b,
+    0x1f3c088e, 0xcb0fdb5a, 0xb40f6e8e, 0x87b28d8e, 0x602c7969, 0x22fb21a6, 0xedfd2263, 0xe76827a1,
+    0xf5b27cfc, 0x59c894e3, 0xe64c74d0, 0x7d35f212, 0x9b13d736, 0x5a95cd32, 0x9fa40df0, 0x7a7db6fe,
+    0x18f89231, 0xbf641822, 0xf283d0c2, 0xad2d5016, 0xd524d603, 0x51df294e, 0x09950c61, 0xef47fbef,
+    0x5a192d43, 0x4c3652e8, 0xc5689098, 0x0fd4fa52, 0x66b55403, 0x88c18639, 0xed0c30bd, 0x2c4f8aa8,
+    0x28b5018e, 0x9c48cc33, 0xd639f458, 0xc5946fae, 0x1fa5027f, 0xe172a273, 0x160b4820, 0x371c8a99,
+    0x216f0620, 0xd2eef28d, 0xcfe9c9ae, 0xb733d461, 0xf70825aa, 0x3fada949, 0xa812da30, 0x7ac007a2,
+    0xc20a4f2b, 0xdd7f3102, 0x9a92f864, 0xfec4c173, 0x3fb7a719, 0x31aa0117, 0xb1f5bb4e, 0x248f9893,
+    0x05f74358, 0xe4843f04, 0x96bff041, 0x17f308f3, 0x5aa816a8, 0x1b97385b, 0x812129b6, 0x85e95524,
+    0x88abb36e, 0xfa133b11, 0x1c4dcd37, 0x88e9e0ef, 0x9aa73bc2, 0x2eb6504a, 0x2b4465fc, 0xb3c2968c,
+    0x018b3da2, 0x0158227e, 0x17942267, 0x0032275b, 0x5e9285b6, 0xac696551, 0x28388213, 0xe2af7ecd,
+    0x9eedc48e, 0x4ce3fe0a, 0x1985609a, 0x79146317, 0xfe7795a2, 0x89a595fd, 0x78b021a8, 0xf5ee90b3,
+    0x1ade5c4c, 0xcb0adf3e, 0x8365b3a2, 0xa15deff8, 0x7e1ec58d, 0xf3e67c75, 0x4e2ee2aa, 0x9903671d,
+    0x6eac1b48, 0x38f2c3c0, 0xa5df8f73, 0xf3d01de4, 0xc71b4fc2, 0x9c77da2e, 0x0a6b73aa, 0x77b8dd3f,
+    0xe5eb373d, 0x4609686f, 0xb5d50119, 0x73133f53, 0x4959fa9c, 0x9717f5c2, 0xe52f9b7f, 0x110e0e1a,
+    0x9127f8ad, 0x1b4084fc, 0xf7417472, 0xa2d31aed, 0x7cd71833, 0xcd6c04f6, 0x133669fd, 0xd672869e,
+    0x14517351, 0xef6d1964, 0xf3122710, 0x6b9e8f30, 0xc1c4ded2, 0x658da112, 0x2989d0cb, 0x01c5cc18,
+    0xbe926325, 0xbc162e5c, 0x2591bc4c, 0x1e8a7e17, 0x547bdb7e, 0x44bd4ba0, 0xf39e8a8e, 0x19678e31,
+    0xd9b19866, 0x964f9f94, 0x14f2f0a3, 0xdda75ace, 0x93d5044a, 0xefefe19d, 0x3e8824a0, 0x53a69800,
+    0x6902e462, 0x03ed8b93, 0x71dcc6df, 0xb8ec0581, 0x98a511b1, 0x37b29242, 0xc1cafebd, 0x4ab5f2ec,
+    0xbfd01bab, 0x2105420c, 0x3ba87a60, 0xa4c88c35, 0x1b130e10, 0xadf8d2e8, 0xdc15a50b, 0x9d086003,
+    0x62e00cb2, 0xf9676e17, 0x42ad94bc, 0xa5400037, 0x6e60777c, 0x6adebed4, 0xf07d0d3f, 0x325c5149,
+    0x38adbc00, 0xbfe50f91, 0xfaa5f13d, 0xa6c145c8, 0x1cc89c3d, 0x3268e447, 0x3032bbc0, 0x065dfc93,
+    0xb880264b, 0x50d4d4e3, 0x990c28b2, 0xbe9797bf, 0x1c912d00, 0x5c1da78f, 0x48fd7f4e, 0x7d1cb647,
+    0xcfd87e00, 0x5d87c127, 0x439012ab, 0xdaeebf44, 0x0168bc7d, 0x79523e3e, 0xf579ab8f, 0xefa0bf61,
+    0xcb79c9ae, 0x20624c42, 0xd6398741, 0x8d2d9355, 0xa6af719e, 0x26b9bbb3, 0xbbb16963, 0x4e1565ce,
+    0x7cbdea0e, 0x7234c17e, 0x3a0a6c84, 0x95b1c138, 0x7c3bb82f, 0x1e77a455, 0xf17f91ab, 0xfd0d40a1,
+    0x00a9d981, 0xd3569d80, 0x2ce8b787, 0x1a544aab, 0xc12b7058, 0xe7735023, 0x1989da2b, 0x9fb9b48c,
+    0xd526e8f3, 0xe1e99087, 0xeba04bcb, 0x1a85338d, 0x69080738, 0xa9d1e227, 0xf3a635da, 0xb8f4a97c,
+    0x0ee4c601, 0xef6b2877, 0x5a478968, 0x944df316, 0x66ef289c, 0x7b282c56, 0x0995f84e, 0x77a2e841,
+    0xb78f6945, 0x73b6d825, 0x08763fa5, 0x9d7bc937, 0x794640c7, 0x21715d30, 0x7a90fa78, 0x236d4240,
+    0xf241accb, 0x903f1044, 0x222488b0, 0xe24d44a9, 0xecdcf9e6, 0xb615619b, 0x9b2526de, 0x7ef4af3f,
+    0x6494177e, 0x20885c76, 0x5ee95e5b, 0xd55020ae, 0x17981d1e, 0x64e1faee, 0x9eb35a55, 0xc2651fa2,
+    0x49d0edcb, 0x3e8a1b7d, 0x158515f2, 0xdf573635, 0x428964a4, 0x3fb0b574, 0x94d184b2, 0x7c0aa50d,
+    0x08d7d9dc, 0x6df15bfe, 0x3d6ee4c4, 0x8dd204e9, 0x08b9abf0, 0x06180d92, 0x40a87a8a, 0x550e9159,
+    0xe17a1afb, 0x4cfe091f, 0x915ed7ef, 0xc607d981, 0x60699f49, 0xbcc3901c, 0x35aaede9, 0x8ede3aa2,
+    0x36d9d000, 0xc34bd052, 0xa7470bfb, 0xc42a63d7, 0x85a9d155, 0xfe4544f8, 0x4d89e3de, 0x1481d89c,
+    0x389ffad5, 0x44728420, 0xb9760c5a, 0x9aca4337, 0x9498fc72, 0xc38c04ab, 0xd45f2d7d, 0x70429f85,
+    0xd3efc1ce, 0xbf3a3dc1, 0x43b9be1f, 0xfcf60ef7, 0xf0d59a1b, 0x1be04542, 0xb0f02de9, 0x62e7fef6,
+    0xc48062ae, 0x1ee09d77, 0xee51cc9c, 0x1af5877b, 0x4cd2f1ff, 0x1589e186, 0x15c12e52, 0x15d71fba,
+    0x8ed5b37b, 0x564ef854, 0x886ce790, 0xbe1017fe, 0x0a88afa6, 0x19854d44, 0x0f545977, 0x1c93da4a,
+    0xf4fda1f9, 0x28fd5ea5, 0x04700b9f, 0x6a03af45, 0x8b292443, 0x60323c38, 0xe9017979, 0xbf7d5157,
+    0x869bfcdc, 0x7cf088d1, 0xbc6bc559, 0x3244aa30, 0x156fed65, 0x056f6ce9, 0x56aa0761, 0xc46736b2,
+    0x1253c5a6, 0xf0dbfbae, 0xcbe085f0, 0x5ae71aaf, 0x15692115, 0xf5c2a277, 0xd284555f, 0xa1351aa3,
+    0x243c27ad, 0xe357054a, 0xa7b6165b, 0xc08fada2, 0x9ee65ed6, 0x2317f96b, 0xc119ff0f, 0xb8c14e54,
+    0x42373a2a, 0xb335ce9b, 0xd3d7dc28, 0xaa2c8a05, 0xd0067d0b, 0xa7fe7a59, 0x7062ed0b, 0xac58e8a8,
+    0x9642f277, 0x5d2b8722, 0x0e114b16, 0x99e7596d, 0xddea420c, 0x14f34eb1, 0xd9b74f8d, 0x207ffac4,
+    0xe6bea6bd, 0xfdcac4f8, 0xd71dbf54, 0x6392e5ca, 0xf8c6756f, 0x94177f78, 0x5f328f36, 0x9e5afde6,
+    0x2e42eb1b, 0x827976b6, 0xa3a6ad76, 0xb7fd49ff, 0xf099953c, 0x54b1177d, 0x3d46c10a, 0x972a0a1c,
+    0x2d121f0d, 0x6decc1cf, 0x8f87bc4b, 0x126d4a77, 0xedf70be4, 0xd603dc28, 0x08af5529, 0x39644edb,
+    0xf471d387, 0x2b8db13c, 0xe6447475, 0x91a8ba7f, 0xc1d13077, 0x9c7f9e3c, 0xffbd5659, 0x443a24f0,
+    0x43bed7cf, 0x81e291e8, 0x011a5652, 0x57f686ef, 0xb0625491, 0xb8d90a97, 0x925401af, 0xc259c5ee,
+    0x71c34756, 0xb6d9c49b, 0xe25aa3ff, 0xa21053aa, 0x46998bd4, 0xa11809b5, 0x2872b7d3, 0x441ceac0,
+    0x75d41d05, 0x4207f372, 0x6711df53, 0xcca8f688, 0xbe7724af, 0x2fdabef0, 0x911ce857, 0x4ef044e5,
+    0x02962528, 0xc8339f5d, 0xdb7de887, 0x5e8f34ca, 0x574560ee, 0xf40e8b05, 0x6b93fc60, 0x1bdebb5e,
+    0x6efa16f7, 0x403ed33e, 0x51380d2c, 0x5e796795, 0x8b536671, 0xaf1295bc, 0x465cc852, 0x6ac9f7bb,
+    0x8819e092, 0xbdf838ba, 0xd3e1843a, 0xc66e2971, 0xf7ac5f1f, 0xeeb47c15, 0x3dc08fc3, 0xc44fdd8b,
+    0xd174b4d9, 0x9e927cf0, 0x0d4df690, 0x2a6c3048, 0xeb0c9dc1, 0x6d0e6a73, 0xbda16ebf, 0x6844727f,
+    0x5ed023cd, 0x33285a78, 0x95186f45, 0xa2116acd, 0xe5cadb4c, 0xd9186b8c, 0x02d3bde6, 0x05114ae6,
+    0x9813cf1e, 0x9ca4c930, 0xe0d76efd, 0xf0f79c23, 0x48a5dc6a, 0xf403fc7a, 0xe7bd614a, 0xd513ed94,
+    0x7ca2a0a5, 0x5e795f65, 0x10769af8, 0x4c9c5616, 0xe82a9c24, 0x88ab0f5d, 0xef611b85, 0x00188c3d,
+    0xfb674561, 0xebd2f89b, 0x1c5ad552, 0x04ef4d78, 0xc240b2ae, 0xd0596afd, 0x859fd79a, 0x56f43b85,
+    0x82f99acf, 0x2db47d74, 0x53bdba24, 0x8f0fc6f6, 0x7de8b80f, 0x6e493a71, 0x79d13a4a, 0x1452e7b7,
+    0x7aabebda, 0x177aa550, 0x2a008b9f, 0x2d5d49e6, 0xdace29c4, 0x5c157900, 0x7505442a, 0xbf607faf,
+    0x9dc339c1, 0x5dd1a0c9, 0x1c2618f1, 0xf2d6b49c, 0xa7197728, 0x42bca9da, 0x284ceb9b, 0x97a57841,
+    0x5117b7a3, 0x7f624181, 0xafa54189, 0xd600d36d, 0xab57733b, 0x3b63e95c, 0xaf02e09a, 0x93d7a93d,
+    0xbc5add4a, 0xe99b8837, 0x0e3ef20c, 0x12e4aa9a, 0x372333b3, 0xed22d53d, 0xb5bb11e3, 0x88cc5e5e,
+    0xd4a23198, 0x01dd1a4a, 0xb32e7c3c, 0xee2c0931, 0x076f6293, 0xefacb81f, 0x3ffc0d85, 0x62fbea60,
+    0x3d7a1482, 0xd791bab4, 0xec6e62ad, 0x03cef1da, 0x2e3c9fc6, 0x29a48c17, 0xba9d739e, 0xaba09f16,
+    0x5bdc27e2, 0x803aeafd, 0x301c3e02, 0xdfe3a1c4, 0x23ec93ef, 0xd2f38704, 0xff4b3190, 0xa33e2097,
+    0x2e434b69, 0xde98b437, 0xe3ab7c0f, 0x43a390a0, 0x25596f96, 0x453b6e94, 0xda5662d9, 0x54a2dbe7,
+    0xea709773, 0x5838f85d, 0x1d2979f4, 0xe1903bc0, 0x8e57abe0, 0xba8e0475, 0xc5faf91e, 0xa8088358,
+    0x5e26c65d, 0x7666ad14, 0xa9f7dd9b, 0xf3dc7375, 0x0b7900cf, 0x8ca6054f, 0x2b2702c0, 0x8ea1b389,
+    0xfd896481, 0xf5116809, 0xec882ede, 0xc4eed4fd, 0x8bc3e635, 0x8da89595, 0x3a5a5243, 0x8e66e098,
+    0x96a79e39, 0xba8eb0c9, 0x225db8b6, 0x5248b57a, 0x4515a24c, 0x8320bfa0, 0x72034bfa, 0x95e7fc3a,
+    0xc8811e6c, 0x439a75ed, 0x27fd9dd5, 0x7ba883d4, 0x5c30cdd7, 0x01bc0dd1, 0xa8e90918, 0x62a7cabf,
+    0x5ddf810b, 0xd2606d8d, 0xfdf7cba6, 0x99e6dc5a, 0x9948a906, 0xe4f05a9d, 0x83445552, 0x73aaecda,
+    0x98c1fa58, 0xa71c09ca, 0x1b08553f, 0xc418ea38, 0x2c348843, 0xa8946c59, 0xf80ff6aa, 0x60c2c9bb,
+    0x3c264e38, 0xcf176065, 0x651cb155, 0xfe54b642, 0x5c111408, 0xcdd87249, 0x405e7d66, 0x104fff47,
+    0x04238374, 0x6065aaf8, 0xaae84178, 0x7fb1f988, 0x3095a83c, 0x85b885bc, 0x30a7f784, 0xc0de32a9,
+    0x6c10d3b9, 0xb9c12832, 0x70ea141e, 0x68f029be, 0x88463cc0, 0xb58f92f5, 0x122fc897, 0x5b9364be,
+    0x24168865, 0xe819057c, 0x264b1221, 0xb33e4352, 0xb5cc0b0b, 0xd13823fd, 0x93c65611, 0x7a478044,
+    0xb514abf1, 0x1e6ecc6f, 0x4bc25315, 0x3bab989b, 0xbb16fc9c, 0x7f262558, 0x3600773a, 0x75294a7b,
+    0xefd376fc, 0x663454fe, 0x33a0e977, 0xf629614a, 0x594b5e13, 0x1af98eef, 0x6a0f1fb0, 0x3b3c3e25,
+    0x000aee8c, 0x6033a17e, 0xdd00fb97, 0x088bb289, 0x9ec473e8, 0x9ff3f7d9, 0x1ddf4deb, 0x8d125d59,
+    0x646936f5, 0xfa735683, 0x33f4a14d, 0x82e542c9, 0xa7ec0a06, 0xfb2ade5b, 0x384d7aa4, 0xe944b4a4,
+    0xf53ed9cc, 0x138073f6, 0x52abb983, 0x7ad4aa69, 0xb2cc491c, 0x7be4b219, 0xd7f9414c, 0xff243d69,
+    0x91abe7ae, 0x09c920d5, 0x73b97a88, 0x7a490586, 0x89d7abaf, 0x7d633b5b, 0x6da89002, 0x0dad7d50,
+    0xd87c02ab, 0x00c851cf, 0xd323cf94, 0x4efd5996, 0x2284695c, 0x9f75133e, 0x2badb1b5, 0x1b06dbdd,
+    0xfa2f94f6, 0xea783be4, 0xfdd64ca6, 0x35731ad5, 0xd3b9c052, 0x63439c95, 0x0e6e397c, 0x83adc32d,
+    0xa546612a, 0x3ddeffcd, 0x4f94380c, 0x065d7f2a, 0x42b0dc0b, 0x5779fd1c, 0x2dd963cb, 0x071388b5,
+    0xdd6b2594, 0x73972ce5, 0xb6ce9fe0, 0x58f54b11, 0xc3f22757, 0x54ae00a4, 0x1b74a5f6, 0xcfe2b28b,
+    0x7ffbe099, 0xfc2a83ce, 0xcfd00f90, 0x5ae4f326, 0x928221fb, 0x050dd60d, 0xa00854be, 0x45a13c98,
+    0x41b58316, 0x1f0bef94, 0x90551669, 0x94ad91fb, 0xbc85457d, 0x27aa68f4, 0xcd3af3b5, 0x1ca03560,
+    0x99e57154, 0x57877c9e, 0x331254fd, 0xa5f6a6ac, 0xbf5962a9, 0x279a4946, 0x3e064897, 0xd869ec5e,
+    0xed7222f0, 0xcb0510bc, 0x87609625, 0x5eae9f63, 0x3646c841, 0xe194df2f, 0xd3e0be4f, 0x2c52b37d,
+    0x4ec9f3a9, 0xa45b0160, 0x8eeb2af6, 0x1dfa2282, 0x785c5bce, 0x464ad109, 0x4afccab2, 0x8c8485a0,
+    0x2a3b5b80, 0x309aacb7, 0xff206fdd, 0x851c4755, 0x545e508d, 0xb6d4d66a, 0x95406e4b, 0x941ef9e7,
+    0x8e853cc4, 0x705a65dc, 0xdfebdb63, 0xfba9b0b2, 0xc17f1bf8, 0xc0de40d2, 0x47a84336, 0x81c8ae9b,
+    0x78d18657, 0x2057b0ac, 0xc23161bb, 0xec4738f4, 0x50244867, 0xdfe1b9b0, 0x301bc6fe, 0x86c00195,
+    0x46e5340b, 0xbca5c10b, 0xaa1dae29, 0x7e3dd4d6, 0x471cfe9a, 0xf64cea5d, 0x782f756b, 0x8a2a6e8a,
+    0x04d13ef8, 0x3373f416, 0xf81f9b20, 0x110d2e17, 0x71503eb2, 0xf75f1f00, 0xed48b800, 0x3802b122,
+    0xa1c30815, 0xdd2f4acf, 0xec6213da, 0xa7733cd8, 0x73d23e86, 0x2dc9ae96, 0x113d0eac, 0x7e1fc83e,
+    0x550293f5, 0xa0803b77, 0x1119bb5d, 0xdd1b2436, 0x77372820, 0xb773f8aa, 0x1e442619, 0xbecf4682,
+    0x71ff3126, 0x15db7cf6, 0x810f6355, 0xe45226a6, 0xf31301b9, 0x4a8097ed, 0x3815d39f, 0x77118dfa,
+    0x95f695fd, 0x4586e6a8, 0xc17b58df, 0xd7b86f44, 0xd7ab71fb, 0xd223f4cd, 0xc0bfa597, 0x6f1201ff,
+    0xdf848d89, 0x1ed06f11, 0xd83db4fc, 0xab8dc39c, 0x5939ff73, 0x2ab074b2, 0xf22219bc, 0x9e760f5c,
+    0x8de9255c, 0x5b4c85f6, 0xa6113e84, 0xdb98cd44, 0xc9856f44, 0x4fdd7b75, 0x4002ac1a, 0x44d8b35d,
+    0xe071a61d, 0xd2db2731, 0x5873c808, 0x2ef19740, 0x5c3d92f6, 0xb551c0ad, 0x2ed6df80, 0x302a876d,
+    0xa738a277, 0x282a72dd, 0xdf3cd2df, 0xab8d5aa1, 0x8317a063, 0x923a7138, 0xa060b6d0, 0xff6da898,
+    0x4de40ce0, 0xa9be7581, 0xc7e54eed, 0x64ec505d, 0xeea65315, 0xaaa56c80, 0x743eb647, 0xe0bf9758,
+    0x2d79582b, 0xb1557c25, 0xba562923, 0xda8fed1b, 0x7870df20, 0x8cc44f6e, 0x0cd93fb7, 0x223745e5,
+    0x0bef7583, 0x8d02f1bb, 0xed538915, 0x13c843fb, 0x472604ff, 0xd9beba1d, 0xc72b9bb0, 0xce08340c,
+    0xfcd7c86c, 0x29737c72, 0xc3df0a8b, 0xdfcf4212, 0x2f944805, 0x39e8e19a, 0xd92a7a0f, 0xeda1b4b3,
+    0x00000000,
+    0xbd61435d, 0xeab63ad0, 0xf3a3e24b, 0xfde9dd51, 0x59d06650, 0xc8082e78, 0xd4e91b6a, 0x5fe37b3a,
+    0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000103289995123476343586236766880120474973188231\
+                         71316894051322637426162590488067364778518581413120551325743612687890989973504 */
+  { 0x00000000,
+    0x5347d25f, 0x10fc56c6, 0x6602fcfc, 0xff77892d, 0xa4e1d299, 0x7217384c, 0xa5148de9, 0x35de3c9c,
+    0xa9424d99, 0x00ff6e70, 0x75f7f84f, 0x3f96fb38, 0x626b1f3b, 0x8da7e086, 0xc8faf97c, 0x4bf3156f,
+    0x734ff3b2, 0x64bf84d2, 0xcfcfd98a, 0x4b0e9cb2, 0xa6ee1fc4, 0x1e6bff49, 0x9a5b4c82, 0x22433404,
+    0xe1625812, 0x053528f8, 0x655043ae, 0x37ea9b31, 0x08675fd0, 0x06be57d0, 0x17667969, 0xd384d7d5,
+    0xbd291507, 0x63b63bc2, 0xde8defaa, 0x8d4943c8, 0x4e4246ec, 0x26daa85f, 0x1e61122e, 0x30599a09,
+    0x36e5da11, 0x319ed93b, 0x6d00fb4e, 0x1508648c, 0x36505a59, 0x218b5250, 0xddf26bd9, 0xf297efec,
+    0x62f8465c, 0xbed322e7, 0x6fae507a, 0xff2ac688, 0xb27a84fb, 0x53056437, 0xc35396f2, 0x5eb47055,
+    0x5ec359c7, 0xd18462cb, 0xc970ee86, 0x7f74a195, 0x7822f290, 0x6ee3e706, 0x6b1a5071, 0xe14470dd,
+    0x384e36c7, 0x3d6741b0, 0xf7937eaa, 0x24b00b68, 0x8870642b, 0x3ecd37b9, 0x67d208d2, 0x11614db4,
+    0xec17637f, 0x757c9b8b, 0x940e868d, 0x064b2e0d, 0xf7d31da7, 0x76761588, 0xfdd42b49, 0xec1f79d0,
+    0x87f83869, 0xd7753f85, 0xcb7af14c, 0x0a21a029, 0x4a6b3992, 0xd733977f, 0xa57dc1dc, 0x68ca0fc4,
+    0x598894ee, 0xbc2930df, 0x0d4e6ae9, 0xb8356e63, 0x85f81d83, 0xcac2a1ba, 0x5a8b4d01, 0x9d0d1025,
+    0x04f6592f, 0xe5a36aad, 0x7a900435, 0xc4bdfef7, 0x40d7ebe4, 0x0e9dbe48, 0x51e91bdf, 0x01b1ebdf,
+    0xcd165de9, 0x3c02f90e, 0x49fd4758, 0x188937c8, 0x06b2c59f, 0x62d088e7, 0xf47b03c7, 0xe8cbd196,
+    0xf46ec199, 0x65c59dba, 0xa9102f17, 0x3783e9b2, 0x7fce8305, 0x230df8c6, 0x8129d8f1, 0xae43f23c,
+    0xbd415e4a, 0x0f34e0d0, 0xb374d6db, 0x22ff7e7b, 0xb625f5a0, 0xb827629e, 0xd9059941, 0x6621d182,
+    0xdd41ca73, 0x19517cfc, 0xf4c60b45, 0x9e10500a, 0x5ac4ce73, 0x5c07bae7, 0xf3c67b71, 0x2114224b,
+    0x87017ad4, 0xc2802711, 0x42eac9c8, 0xb83a6308, 0xb1f2fb25, 0xb5d24f61, 0xa6f252a4, 0x1e8d5a09,
+    0x39046c43, 0x74444e87, 0xa7e0ee91, 0xccf0f20b, 0x6b71ca1d, 0x0bc837cc, 0x0857259a, 0x7324d65e,
+    0xa36e75ad, 0x953af2a0, 0xfddb72b7, 0x39af81da, 0xb9c9f289, 0xcf32e0f0, 0x78c30f79, 0xfcef19ff,
+    0x5748f839, 0x16d2de0f, 0xd2abfdd6, 0x12e80694, 0xb1880a0a, 0x666057d1, 0xa3764375, 0xf84523d9,
+    0x2ebe9e8f, 0x86064112, 0x10327b0a, 0x8c7e9a76, 0xad0cc801, 0xfcea7e4f, 0x9ddb6129, 0x64e816ae,
+    0xb977f70e, 0x6a614ab4, 0x05f7b05b, 0x2ef8c15b, 0x10248d6f, 0x400e7c9e, 0x9c82461c, 0xe0bc4683,
+    0x8ece9b0a, 0x4ffeec27, 0x61fb0181, 0x18a1229f, 0xdfefbbf7, 0xbd44613a, 0xef9f9c8d, 0x44024f71,
+    0xbdc893bd, 0xba878bc6, 0x0d9aec12, 0xa066394c, 0x9e213cf2, 0xc4c6f7b5, 0x6d6481e6, 0xb010f9a2,
+    0xc084c4d4, 0x2c64f82f, 0xef8230ee, 0x9cdc8cb0, 0xc54f185f, 0x31e2c98a, 0x0690496e, 0x429dd34f,
+    0x62b0139b, 0x76faffb2, 0x0c0bb7e6, 0x3a5c9567, 0xfd06b940, 0x225f831f, 0x1f094cde, 0x42e7eb60,
+    0xe0cf37a8, 0x11830cd3, 0xfc5963d0, 0x18c78e6d, 0x364e985b, 0x916cfedd, 0x40711d30, 0xaaaff20b,
+    0x5e29db1d, 0x6a38a413, 0xe7c7173a, 0x9110a3b0, 0xf87e401d, 0xb913fbe2, 0x2f7c3952, 0x7fdc1490,
+    0xec73146c, 0x4364dd4f, 0xf12a5d42, 0xb45f0bab, 0x24483094, 0x9a2c1a3c, 0xd456ec02, 0x47cd54db,
+    0xbc2f339c, 0x5a1a75a2, 0xa0776e37, 0xf0fc9178, 0x06d15008, 0x16ca4a2f, 0x0197fa93, 0x4cd0aa25,
+    0x3254b20b, 0x0706cfc6, 0x9a68c15d, 0x05e9e343, 0xca8f6a6a, 0xa2b6d733, 0x5aa4efab, 0x0316b307,
+    0x75ec94f6, 0x8a661bb7, 0x1159fc64, 0xeaa6b052, 0xb55b2575, 0xd1f3c80a, 0xe4917d5e, 0x1db19d11,
+    0xa207b833, 0x43fe5369, 0x1811f43b, 0x0b51ec29, 0x181da7b5, 0xfeaf1919, 0xe44eef94, 0xb0ff0fe3,
+    0x8a6d4b1c, 0x5847f6d1, 0xec4d2737, 0xba355a89, 0x4857033f, 0x0b954c6f, 0xf0c4d670, 0x4f0585b6,
+    0x964ce846, 0x0730c9c9, 0xe4cb0e1c, 0x6815721c, 0xee50652a, 0x75644d7f, 0x9a99c8b9, 0x015d3b4e,
+    0x8ed81b46, 0xcebb0ab2, 0xe712f1dc, 0xc9d2c39e, 0x3d2da36d, 0x8251d036, 0x2d5c8fb1, 0x0ef3d351,
+    0x43de5e62, 0xb83080da, 0xd20942d8, 0x7d5ffdbd, 0x1b03a803, 0x90ac4fd0, 0x4a54146c, 0x69789df8,
+    0x00333d5e, 0x9a749a23, 0x10678ebe, 0x9c2e30f3, 0x9602f441, 0x8031f800, 0x20d4e406, 0x63363077,
+    0x27a1e92d, 0x309f174e, 0x59dd864c, 0x1e8e8b2e, 0x4074943d, 0xc5a75692, 0xc1d6fc0a, 0x88b2b39b,
+    0x6c37c2cb, 0x8d865308, 0x31727b9a, 0x409279ee, 0x4f4a1673, 0x6110d8c0, 0xa56f43db, 0x1c14ffe5,
+    0xd084e269, 0xa741ee92, 0x713c37cd, 0x0caef37d, 0x1d4f106d, 0x08920c71, 0xf8fc3884, 0x5aae5e1d,
+    0x182bbfac, 0x797dfc45, 0xaf46ee11, 0x49718b3c, 0x5ffd5d6b, 0x6b3e07e8, 0x1b20c240, 0x6915bf09,
+    0xef0114b2, 0x34c6f4cf, 0xd1633b83, 0xb8915247, 0x496e4749, 0x22e4f53d, 0x7def815c, 0x0d92cb73,
+    0xf1faa0d2, 0x1cadfa6a, 0xe3d3495b, 0x23bf1768, 0x16d75b88, 0x79281178, 0x94ee7910, 0x67d90f38,
+    0x893c3555, 0xe31bcd4e, 0xd61085fb, 0xd9da7fc1, 0xcdf21177, 0xde623042, 0xfb5c0ce2, 0xc395fa3c,
+    0x75241a37, 0xbffe6ae8, 0x8a1f4f67, 0xe67c13e7, 0xbd914493, 0xebe6d665, 0x94c4573d, 0x1bf25486,
+    0xa74fd7a2, 0x11080e0a, 0x0fd241c7, 0x3bc365ff, 0x4dba6135, 0x8b264ec7, 0x6bb955f3, 0x5e5b03d5,
+    0xbed5c726, 0x75729dd2, 0x5c726807, 0xa05e2991, 0x24598a2b, 0x17ad3fb4, 0xa249c2bf, 0x02281786,
+    0xde364066, 0xbe9d5208, 0x76a53dee, 0xb8250806, 0x09446e99, 0x7651e5a8, 0xf257231a, 0x5b8ef418,
+    0xa087d416, 0x9dd61187, 0x8b9d4701, 0xfe2db062, 0xaa36c8b7, 0xaab37ab5, 0x67fc8279, 0xb93e9566,
+    0xcbdf4f89, 0xf336e0ec, 0xf5e6ebd2, 0x48cfad99, 0x60c41566, 0x4a7792e9, 0xc92d6fdb, 0x91c1ab2e,
+    0xea647348, 0x1f572835, 0x2662c2b7, 0xbaec0a9a, 0x0a2d93b6, 0xc82d70ed, 0x6b85db12, 0x6c675f81,
+    0x0b76141e, 0x1c0fd8d4, 0x5694b0f8, 0x1061cb18, 0x57f82b73, 0x64ac832c, 0x60ffb456, 0x13c24e4f,
+    0xa6ad8612, 0x4d8285d1, 0xacbd3001, 0x9cfd8cf0, 0x99371bd6, 0x8cec261c, 0x5cdbeff0, 0xc9085066,
+    0x16f5c00d, 0x023217d3, 0x4210725e, 0x51432471, 0x2fc817cb, 0x9164c6fd, 0x4420a797, 0x4cbcf4c6,
+    0x3ad7441f, 0xa00d2ce9, 0xa691ea6e, 0x0dd12106, 0x3ebf3268, 0x9e07f1c4, 0xfcb32ae8, 0xf3cc9afd,
+    0xfb052c62, 0xab1a297f, 0x35fba6ec, 0x2889e138, 0xbb4689f5, 0xfe829ad8, 0xa8a5d59c, 0xe07dd2b1,
+    0xa726ef33, 0x3d4be700, 0x4be5e19a, 0xcae3cb0c, 0x7aa99b5c, 0x2c303ded, 0x538b0056, 0x8dae3312,
+    0x60039785, 0xeccbc5c4, 0x636026e3, 0x482cb36e, 0x0b1c129c, 0xf5c76e1b, 0x11b2318b, 0xf9b03bf4,
+    0x4ab56c2b, 0x5b667d74, 0x56be4d1c, 0xb80eb257, 0x73a7aff7, 0x0885d55a, 0xcc836709, 0x262ba283,
+    0xf65c5932, 0x58678bbc, 0x53181ae3, 0x85d9046b, 0x7b309696, 0xdb28870e, 0x790eca13, 0xacfd4ed4,
+    0xd202adb3, 0x169ba86f, 0x33fe83c2, 0xd94adfe1, 0x7c9ba127, 0x1f16bcff, 0x993a0a2d, 0x44fdd234,
+    0x3ac5ee02, 0xeb6f33e9, 0x6f46dd57, 0x0caef2e5, 0x58fdd0fe, 0xe0a8ca74, 0x13596ec5, 0xccd56f03,
+    0xeabde330, 0x94467048, 0xb575a7d1, 0x0b60b5b2, 0xeffd1020, 0x0cfa2bc1, 0x50a032d1, 0xbe3cce8f,
+    0xef56c804, 0x5d73ff6e, 0x2f6a33df, 0xdbc8f278, 0x287f752c, 0x753b0a4f, 0x31d39e6b, 0x3ad24d33,
+    0xdb0d9b5c, 0xf6001f6a, 0x0b1bd7b4, 0x65f1adbc, 0x0d2328d1, 0xa11a92ed, 0x147d82b2, 0xf63766d0,
+    0x76797d03, 0x073602e7, 0xb128e3d0, 0xe1e5df61, 0x2e531f59, 0x69d69b47, 0xf53977fd, 0x2b64c04e,
+    0x7c860667, 0xff26be74, 0x03e55b13, 0xaef37d8d, 0x8d09cf00, 0x9609efc4, 0x5e546cfb, 0x29e91778,
+    0x321a8677, 0xbd051061, 0xc0d8628c, 0x74b41431, 0xa0489b46, 0xc8381c15, 0xd1c0ad5b, 0xc127cbfb,
+    0x25139ee0, 0x27b2465c, 0x995528fe, 0xf387101d, 0x31c7a299, 0xdb5c24ca, 0xab877986, 0x0057b9fe,
+    0x47d5e5ac, 0x1dd97742, 0xbe239fd4, 0xad528992, 0x050f0583, 0x3fd5be5a, 0xc6a977b9, 0x35b14161,
+    0x33dd4ab1, 0xe94ef770, 0xa7f1a58c, 0x2a081974, 0xaabd9bea, 0xacb0a7fe, 0x428f2fb1, 0x2ca7681c,
+    0xeee12dc6, 0x17f6d413, 0x0b88ef43, 0x3a519b2a, 0x8514e7f7, 0x333bcd68, 0xb9b89481, 0x8f97aba4,
+    0x507e70b1, 0x94323a15, 0x2bdbd4b3, 0x7dc9d847, 0xae33fc82, 0x9cb86908, 0xe322b0b3, 0x21110b19,
+    0xb5efea3d, 0x3e596a40, 0xb7615a2b, 0xf6ef9356, 0xd6da6001, 0x358e6c75, 0x0db20e16, 0xe7a0a6f7,
+    0x553d0b74, 0xc1a67ed0, 0x2f944cb9, 0x7fa43ac4, 0xeb3e5543, 0x92052881, 0x7be4caeb, 0x664bf259,
+    0x409039d3, 0x114883e5, 0x110a3bdb, 0x940b7513, 0x57cdcdd5, 0x5c7a895c, 0x8d7dbba3, 0xb0f6ad99,
+    0x218ca51a, 0x88531cec, 0xc82b4325, 0xe1050900, 0x80ec270d, 0x7cacc108, 0xff16ca2e, 0x2c64cb93,
+    0x22f3f935, 0x8a70b1ff, 0x52d9c5a6, 0xe6fe3da4, 0x0eb2a8de, 0x4937a16a, 0x325d4747, 0xf3ae0736,
+    0x27f26f90, 0x97b4d8cb, 0xfa332eac, 0x1f060e53, 0xdc9c228b, 0x450dbf5f, 0x47303b3f, 0xa205e706,
+    0x1b906920, 0x50860808, 0x87c33cb8, 0x5da06597, 0x67276818, 0x14a20d78, 0xd37d02e3, 0xd65579b2,
+    0x010222af, 0x26180ae6, 0x77fef09f, 0x686b3e59, 0xb286933c, 0xa24f4737, 0x23d35133, 0x5a4872f8,
+    0x85eba728, 0x0c8d57ee, 0x4d05d3e8, 0xb703b976, 0x1c1bce60, 0x9c6ed221, 0x723c5d04, 0xe1704a0b,
+    0xd993266e, 0xb4230c62, 0xadeee1d7, 0x67969efd, 0xe7395fa3, 0xeefc9e73, 0x772fc84b, 0xd560023f,
+    0x01d05b96, 0x295cfa5f, 0x21509948, 0x49c00882, 0x3603950f, 0x0d8cb980, 0x25ece593, 0xb4ea8444,
+    0x525f4d21, 0x1e8072f9, 0xb58f4586, 0x5addee20, 0x91c6cb7e, 0x5598d786, 0xc967e180, 0x2fbce8ec,
+    0x8ae5ee06, 0x263d400b, 0x4d40f747, 0x8a2305db, 0x7ae56761, 0x4ac15a3e, 0xb7d35dc9, 0x88f71fe8,
+    0xba8f3f5f, 0xbb56220d, 0x75a2bb87, 0x58b07313, 0x93c56747, 0x260d9c25, 0x26c32750, 0x9c718b7d,
+    0x5eee47f8, 0x209c6ab5, 0x2cd429bf, 0x6ebff1f9, 0x10e20016, 0x8d44379f, 0x0615de49, 0xdf6ba1fa,
+    0xe293bb91, 0xf514439e, 0x952f9722, 0x285c294d, 0x65a1cfeb, 0x0a038d15, 0x461938d4, 0x1480bf19,
+    0x5bd7a63f, 0xa3ae9978, 0xb69e5fba, 0x9f138ba8, 0xc183298c, 0xbcad9011, 0xd1fb92f1, 0x1ba61968,
+    0xa0b4f264, 0x67307481, 0x90ca110d, 0x06103818, 0x612d4b4d, 0x35915dd3, 0x702054da, 0x007aa4f8,
+    0x43806885, 0x1ac21b19, 0x2f00990a, 0xa1bd9d6a, 0x7ef20fc0, 0xbe074835, 0x9b6da4fd, 0x536e6fc0,
+    0x9518e46f, 0xd711f2d4, 0x21ef5df9, 0xede1e78a, 0x28fdffba, 0xc8035fc0, 0x467b6298, 0x4392baaa,
+    0xca5a7b94, 0xa0e8f620, 0xf95200fe, 0x0c8a8a5f, 0x66c72426, 0x01d30b4c, 0xe3325c1d, 0xff6348e6,
+    0x38a08a2e, 0x033a2fff, 0xef3bc5a2, 0xbffbc2b9, 0xbf1f1e8c, 0x9f4f1cb2, 0x7db3088f, 0xf4b94638,
+    0x8fa352f2, 0xfb22fea0, 0xeaca4eb2, 0x41e742c6, 0xe9aca0c4, 0x453b5730, 0xb7ff0e0f, 0x8ef1511d,
+    0x0074d59b, 0x864d18df, 0xed931aa1, 0x91324d51, 0x0d37ff6d, 0x9aa55ebb, 0x93c0e558, 0xa08005ae,
+    0xb90f5aa4, 0xa069aae6, 0xa98e1f0f, 0xa7ce5fc4, 0xfeee1a48, 0xc767d8f6, 0x424e85f7, 0x02872518,
+    0xbcd7a5f7, 0xb82fc378, 0x8a47caeb, 0x2736718d, 0xe4da56a8, 0xc7a3996d, 0x9ebf2e57, 0xf3b3b6ff,
+    0x901b9eb8, 0x8508be32, 0x446be0e5, 0x4db196e4, 0x2c0fb8b7, 0x1168e2f2, 0x3024b896, 0xef923cf7,
+    0x0f0edcc2, 0xd69c763d, 0x560f32f3, 0x6ced2b6b, 0x9a13ed8f, 0xc74832b3, 0xa2757c28, 0xda5c9d15,
+    0xfe5f209c, 0x38d405ad, 0x3a5b2320, 0x68f6fc3b, 0x4b95a7a1, 0xc6298c50, 0x27533f65, 0x1c47a9bb,
+    0x2965dde5, 0xba27cbe0, 0x7751e2be, 0x952bf858, 0x41af3190, 0xf0014c91, 0x2cac7475, 0x595eaf1a,
+    0x4fb153b5, 0x2c5b5464, 0xa3250e80, 0x987a6feb, 0x975e3701, 0xdfb41bfb, 0x06e8e15c, 0xf5e083ed,
+    0x43eecac2, 0x2539ccb0, 0x3b8a2c23, 0x2fa3a041, 0x41fefa52, 0xfcd5cd20, 0x761daff4, 0x5f0e5152,
+    0x76536941, 0xbf9cb49d, 0xe94f0c14, 0x07f85ea2, 0x8f70daed, 0xb20851d7, 0x0d7760bc, 0xbcdcbaf1,
+    0x0f0e5a53, 0x7f998e7e, 0xb4f289b6, 0x1ed5d1b7, 0x4c9c1443, 0xe414434a, 0xace4d4bd, 0x913bab26,
+    0xb407c09e, 0x749113c7, 0x96f70e9f, 0x09255322, 0xb7051dca, 0x8a8cf216, 0x212326e4, 0xbb4e97d5,
+    0x2734906d, 0x016b50a9, 0x3f4fb509, 0xd63dd3f3, 0x56cbb130, 0xf5d6f374, 0xc7a11170, 0x3a0af7cc,
+    0xf64d8711, 0x51c0dd68, 0x16b66ce3, 0xf9ce87f9, 0xe984c3dd, 0xa80ce4c8, 0xaa727b53, 0x9d84b9ee,
+    0x4445a3b0, 0x961dca2d, 0x96cb75e8, 0xb125c545, 0xb47b996c, 0x11c52926, 0x8ecba97c, 0xd630e3a2,
+    0xf36b0a69, 0x9d873bc6, 0xeb0ae224, 0xf55d08c2, 0x98a28c6f, 0x6629d834, 0xdb12c68c, 0x00c6d50b,
+    0x4f76e705, 0x6334868f, 0x178244b1, 0xd842e34b, 0x4afd8ee9, 0x71dda157, 0x5e96de3c, 0x9886ad85,
+    0xea02524e, 0x3ad0bc56, 0x17110f8c, 0xfa04d38d, 0x85faf72d, 0x21711394, 0x399c4d67, 0xe57a019c,
+    0xde7ba99c, 0xa3a671eb, 0x749c6182, 0x23e4df25, 0x6f414f1e, 0x884d9772, 0x2d306553, 0x6f816a6b,
+    0x30c7fb37, 0xcb527cab, 0x9936f906, 0xf9378c74, 0x5586f67a, 0xe25de9dc, 0xfcb49f56, 0x570ffbc2,
+    0xa0d8ee87, 0x417718e5, 0xf4ed2fee, 0xc0ed3c9b, 0x6927470f, 0xbfd4402e, 0xbb7416c3, 0xd29f92c1,
+    0x2a2cf92b, 0x45fbe429, 0x3e877290, 0x37d43b0f, 0x7ff1f067, 0x8cff0bcf, 0xf8f5a76c, 0x938bc34b,
+    0xf6f4bbbf, 0xa7c7d91f, 0x4c3c8bb4, 0x6966e7fa, 0xa0413af1, 0x522a8863, 0xb1152ee5, 0x56607e95,
+    0x07ca1be6, 0x017ced67, 0xd3dbe36d, 0x8a06f0f1, 0xf9da14fb, 0xcff7a76d, 0x75f52120, 0xf1764e6a,
+    0x13546424, 0x8744786f, 0xa361568a, 0x32f86875, 0xdfcd4183, 0x7ac78a01, 0xf5aa8895, 0xea69be6e,
+    0xceb44a5b, 0xfc8ed49a, 0xe50e899f, 0xa59282cc, 0xcbd2de77, 0x67ff0f9a, 0x6fdc9233, 0x96a6ea34,
+    0x7440ab5d, 0x9122d063, 0x0f6ec856, 0xb9ce02f8, 0xddd07d11, 0xe3f2b0c6, 0x62327228, 0xfd5597e0,
+    0x3fbc3fc2, 0xe14094b2, 0xe92633f5, 0xfd71c7f0, 0x6f073d00, 0xc79264ef, 0x6699116e, 0xae677ee7,
+    0x00000000,
+    0x5eb0a1ae, 0xf55b1d68, 0xf9d1f125, 0x7ef4eea8, 0x2ce83328, 0x6404173c, 0x6a748db5, 0xaff1bd9d,
+    0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000051644997561738171793118383440060237486594115\
+                         85658447025661318713081295244033682389259290706560275662871806343945494986752 */
+  { 0x00000000,
+    0xb646efc3, 0x742f68ef, 0xf86e566f, 0x0590b203, 0x3981d4ca, 0x458834f5, 0xc563f3f5, 0x314f1190,
+    0x359cf225, 0xc8b80588, 0x3f74a79d, 0x88d98196, 0x31afc568, 0x276a698a, 0x8c1fb047, 0x5a41dec9,
+    0xcb98cf34, 0x40312911, 0xcfa4f4a8, 0x91a1c736, 0x19c1f801, 0x6dc0aea0, 0x57619932, 0xdbbaa408,
+    0x2ac13c28, 0xf8e0958f, 0xfef01474, 0xbdc5eda1, 0x90afce2e, 0x4582bfd0, 0xd3f5ba41, 0xab0b1dcc,
+    0x62fb3f0a, 0xd30af12a, 0x5b379092, 0x865d50d0, 0x8994f8f0, 0x1412751f, 0x775319f3, 0x627ee69b,
+    0xe595de80, 0x6f43e200, 0x8c431aa0, 0x60a20f53, 0x867756ec, 0x3a3b8294, 0x8e655113, 0x7781307c,
+    0xb03906ca, 0xf67e6861, 0xc55b8fef, 0x839a9d47, 0x536d95ac, 0xa1d844ec, 0xa3251ae9, 0x0cf90142,
+    0x6ceb2bb3, 0x09004bea, 0xae95c53b, 0x39ea7069, 0x2299b2da, 0x282e0099, 0x25dfe3ba, 0x8c347bb9,
+    0x3cbd0d35, 0x62987dab, 0x16af4756, 0x02ce5b5a, 0x03260d75, 0x36edae1f, 0x0ec436cb, 0xe96b7898,
+    0x5e707570, 0x304a792b, 0xcaaa68c5, 0x0aac9221, 0x979580d2, 0x105ed0d7, 0x0db66e4d, 0x38b41115,
+    0x82354d88, 0x810d5c2f, 0x133b76bf, 0x87d635b1, 0x1c47eb38, 0x33948d6b, 0xf585f150, 0x201a8145,
+    0x0f8d5dba, 0x309b52d6, 0x66273c71, 0xdb8ea819, 0x9909c366, 0x21de8253, 0xfaffd487, 0x27639c42,
+    0xe09a09fa, 0x73596e2f, 0xe3d39ee5, 0x5bbd3c47, 0x9d7148d9, 0xde4106d3, 0xda0d583d, 0xaf542a90,
+    0x113d0f12, 0x079f19bd, 0x47788346, 0x78af08e5, 0x4cdbf633, 0x0f6d5fb5, 0xfae4dbdf, 0x1f1a1c3e,
+    0x2a05ee7a, 0x0e6c8732, 0xf90828d6, 0x1935ac97, 0xf9727a8f, 0x9483296d, 0x0dd26359, 0x3a8308c9,
+    0xa7054d98, 0xe3d65c88, 0x87828c5b, 0x628adde6, 0x7cfd6032, 0x0004463c, 0xf4f016b7, 0x93caa3a9,
+    0x993a740f, 0xe589faa6, 0xd9ca648a, 0x38331115, 0xcd3ca1d6, 0x7edf9111, 0x5603b4ba, 0x6a6e8726,
+    0x0a531f43, 0xad99132d, 0x05513682, 0x91e877ca, 0x5933404f, 0x0844bd19, 0x7685e0c7, 0x5592b3e9,
+    0x3ff66f6b, 0xbb9e95e9, 0xb5d72656, 0x83ed2a5c, 0xcd172fd2, 0x0794afe9, 0xc596dfd0, 0x3bd538d8,
+    0x575a06f6, 0x4474c11f, 0x46f50d50, 0x8e477027, 0x6ace2e93, 0xba3a1c12, 0xbd4df098, 0xcb932bea,
+    0x4b90a16f, 0xb9307caa, 0xa39ce428, 0x714a520c, 0x409f6dcf, 0x7155179d, 0x0c6da5ae, 0x567ef4da,
+    0x71d6c9b6, 0x911f8332, 0xecfb6562, 0x170ef576, 0x099a9dbc, 0xd902e9fe, 0x00d16a1c, 0x2476b53d,
+    0xbdf71535, 0x2da45b71, 0xdc425617, 0xa47f8773, 0xdc42d7d0, 0x7031a916, 0x7b2c16e6, 0xc4ccae9a,
+    0x035aca14, 0x3a6397e3, 0x79ccc34c, 0xc836be00, 0xce669315, 0xad84ae62, 0x66a52697, 0x79fa24ad,
+    0x3ba7085d, 0x4c4d1c57, 0x6260d2a8, 0x5899d884, 0x16182966, 0x8fd6861b, 0x337432ae, 0xeccbeae6,
+    0xa674c51b, 0x061c5159, 0xc2f4839b, 0xf233c313, 0x6a39ff0a, 0xdb324682, 0x0d8cf504, 0xcd435af2,
+    0xce7dcd56, 0xb850c5f6, 0x1be0af9d, 0x0539ac16, 0x940bd8e4, 0x6ad19a58, 0x2e462492, 0xc694375f,
+    0xae9d0971, 0x7b1bc46c, 0xe08009a9, 0xd0bf4c93, 0x0688acdc, 0x25e9f671, 0xfe933d6d, 0xf3b8d999,
+    0x47b65c80, 0x7e22b166, 0x116df007, 0x8327f583, 0x03b31fd5, 0xada3571c, 0x322c54ec, 0xa992cc07,
+    0x066fccfa, 0xffccf37a, 0xa6a438ff, 0x09da2992, 0x59a733d7, 0x26be09b9, 0xb51aaf78, 0xd620d6f5,
+    0x08987791, 0x0f7e461a, 0x93280b1d, 0x01727c5c, 0x57995514, 0x3753ef2b, 0x5f955da0, 0x5de7ea9c,
+    0x61c0a1cc, 0x92ee7e32, 0x7da231c6, 0xd3f0473e, 0x66a8514c, 0xee705026, 0xfd71ad7f, 0xbaf558ca,
+    0xc1976f1a, 0x465c1735, 0xf8b6771d, 0x195eae1e, 0xc05d19ce, 0x09f62f9d, 0x6751dc30, 0x8000cee7,
+    0xc7323c82, 0x7db62e2d, 0x4fa2a187, 0xef5edc7a, 0x79a04723, 0x9adfa955, 0xf6e25643, 0x87e5ec36,
+    0x495f1c83, 0xedfb566c, 0x2cc08bdf, 0xd241890c, 0xc267ac48, 0x24e25915, 0xa57369f4, 0x94bd7a9b,
+    0xc3f6882f, 0x54ec92c1, 0x0e311d74, 0x67a97c2f, 0x77558f0c, 0x5dca4e80, 0xaca425dd, 0xc6b7ad2b,
+    0x17485fe1, 0xd573fdc2, 0x97d64b81, 0xa422353d, 0xdd3a52c6, 0xb674caaa, 0x4c6a35f0, 0x0355f713,
+    0x4e87d5d1, 0x9ac4b7f3, 0xddf086b1, 0x7d575708, 0x3727a573, 0x0575df79, 0xf0e946b0, 0xe3ea5b0b,
+    0xebe868ac, 0x3b576511, 0x1ade813f, 0x201049d0, 0x644c1636, 0xb4a674d7, 0xe65ba495, 0xac62a4a2,
+    0x2399eb35, 0x4e1865ef, 0x5ad36252, 0xd7c6668c, 0xa1eec297, 0x8e370fb8, 0xe4a8b870, 0xd03eec95,
+    0xa5345149, 0xa091361b, 0xdf7fe9d1, 0xfe2b4670, 0x86fbe457, 0xc69604d4, 0xe54f81b0, 0x609a919a,
+    0x3766e8e4, 0x96f4b225, 0x49e76e29, 0xf94c2377, 0xabdef688, 0x042d222a, 0x72c8a08b, 0xc63f0895,
+    0x8499f1fe, 0xd12ca7bf, 0x42b01b4d, 0x1ef69046, 0x8e6a7974, 0x52a6e272, 0xbdca124e, 0x9d8e69b6,
+    0x1ef696a6, 0xb0a23f34, 0xc4063c15, 0x9203d38a, 0x142009b0, 0xa212bc44, 0xa33870f1, 0x877c34a8,
+    0x3065d4a7, 0x8895350d, 0x958539d1, 0x27182835, 0xb4a66c79, 0x535f8def, 0xd322c5eb, 0xe5ff7c25,
+    0xc9c63bda, 0xf6f98a85, 0x7f9d15b9, 0xd2430e94, 0x38312587, 0xbd80cc2d, 0x71a3a252, 0x91e1a1a5,
+    0x45333c7a, 0x2d8727ed, 0x9773a787, 0x9e7a910f, 0x0d475ace, 0x56d999d6, 0xe3aac03c, 0xc197d410,
+    0x6e695e9f, 0x62974962, 0x4823342e, 0x2e5e18d3, 0x8d7bcb35, 0x33cf6344, 0x91e12d40, 0x94b7f9a1,
+    0xa1d0cd1d, 0xb6f4e31e, 0xc4b6997d, 0xa885c17e, 0xf1f4e1cb, 0x287e3562, 0x6af17ca2, 0xd350d0d0,
+    0x39895f07, 0xde436357, 0x64f4a087, 0x14f5d68a, 0xb6949856, 0xc861a1a9, 0x5610d6cd, 0xb9ad86f8,
+    0x51192fdd, 0xe4c9d9de, 0xc5c2fe77, 0x3d9b20bb, 0x027e9c46, 0x3ed372bf, 0x8b531f86, 0x1334039d,
+    0x51b85681, 0xc56b11ee, 0xdee32c8d, 0x207e39e5, 0xfd831aae, 0xa9d0b797, 0x94fb4d26, 0x9d5794ba,
+    0x9e3d955a, 0xd8cd3cb5, 0x606bf052, 0x29f45300, 0xa9fc3e15, 0x307789a4, 0x73f7cc8f, 0xad2eb7fa,
+    0x3f3c84a3, 0xe5787d4f, 0x4fd8e780, 0x59553a4d, 0xb9f1e373, 0x233f4ac7, 0x1b912bdf, 0x15e59c75,
+    0x79fda95d, 0x7fbbfaf6, 0x54890d29, 0x0cf5dd83, 0x96183ec8, 0x7c6d317e, 0x94a9b7a7, 0x98016103,
+    0x6f74cd60, 0xb6310500, 0x959b7379, 0x2c0a5c59, 0x7ab2388d, 0x62e25e65, 0xac627a38, 0x6427fcd2,
+    0x1808bb79, 0x1c31f283, 0x97f8669f, 0x30877f13, 0xec964720, 0x3c3e7950, 0x60a7c43b, 0xe49a977e,
+    0xecfc79a2, 0x6bddcf5f, 0x08fc905c, 0xd58fd4d2, 0xd669ba6a, 0x4fb64a56, 0xfd37f693, 0x47eb7786,
+    0x24032682, 0xf6c617ec, 0x072cd1a5, 0xc8712937, 0x4b21ad0c, 0xb96a927d, 0x647ed218, 0x715b6903,
+    0x27ce436e, 0xd53f35de, 0xce8a8e52, 0x81a6c60b, 0x6ffd4d26, 0x2f17ac60, 0x0bbac354, 0x0713eb4f,
+    0x016943ce, 0x182cef9a, 0x08d21dba, 0x54015030, 0x3262aefd, 0x218a936d, 0xfc7e1b28, 0x2682beda,
+    0x1afb516d, 0x41565132, 0xe56d87e6, 0xf1b3d53b, 0xdbb3acef, 0xaeafe70c, 0x4c1df0d1, 0x1c5c5dc5,
+    0x7c1afbe3, 0x0716292a, 0xf499e24c, 0x2fb327e1, 0xe6e2d5ec, 0xff2a161d, 0x2c328970, 0xd950fcc5,
+    0xf11fb581, 0x8ed7d258, 0xb9dcfcc8, 0x5dd6b3bf, 0x6129d95d, 0x9b046f29, 0xb1978c07, 0xe05faf95,
+    0xaadefb6a, 0x63fafb21, 0xca7d7006, 0x44484a87, 0x4e102ea6, 0xe5823202, 0x56812390, 0x815ee5fc,
+    0x325a4d11, 0x271612b0, 0xadd2bddf, 0x7c47a142, 0xaf0d3401, 0xfc1072fd, 0xe8f7341b, 0x87607650,
+    0xfe5b7e68, 0xbef3b70e, 0x299d11f5, 0x2cfc90d3, 0xe5799552, 0x5ae04eaf, 0x3854601c, 0xff8632e2,
+    0x6440ffb5, 0x1fd7439e, 0x595f1f60, 0x9c615559, 0x00fef01f, 0xc7aeb3e2, 0x9a4bf01e, 0xc70fdae6,
+    0x0505f20e, 0x3e410979, 0xd4aa4990, 0xa30daca9, 0x7dd2aef4, 0x7b4abcb9, 0x56717d6e, 0xaf9f1041,
+    0xf58ca630, 0x545e9fc7, 0x2975b45a, 0x823a4873, 0x27a7333b, 0x9d169c00, 0x807dd4b6, 0x839c9df3,
+    0x77a66ebb, 0xfc6c0ca4, 0xa63ec22d, 0x81500361, 0x86669dfb, 0x94b71ed2, 0xfa36d79f, 0x45b8699b,
+    0x4da64c28, 0x46a324a4, 0xa0e6c99a, 0xf76492ea, 0x93e8fc39, 0xe508256f, 0x84f3ba77, 0x3127bb1f,
+    0x25bd76c2, 0x97aaeb42, 0x70205718, 0xb5e18c75, 0x23541f46, 0xedae93b2, 0xfe982927, 0x2532e901,
+    0xcbea502f, 0x033f7735, 0xf4e93b29, 0x5914bdee, 0xad708434, 0x7af9b384, 0x640d5c70, 0x202753e3,
+    0x9a7e955d, 0x3063b209, 0x12c8bcf6, 0x06d43886, 0x6def4ac2, 0xec04b47e, 0xf31d9aa3, 0x746c1ca0,
+    0x8d1f08ed, 0xb83f181b, 0xfe7ba4b7, 0xa279eb27, 0x2f0feabc, 0x1c31c424, 0x822a92c0, 0xc27ecca9,
+    0xc0681ab6, 0x64f17730, 0x972a39ca, 0x48c386b8, 0xea7f8680, 0x9e45b994, 0xd99fbf37, 0x3b961d94,
+    0xb009206d, 0x9c0714a5, 0xa8aa403e, 0x3e5c8f6c, 0x5bdead0a, 0x57ed3fd0, 0xbe06c33f, 0x919c9a0b,
+    0x4cf9098f, 0x53ad4147, 0x1a857978, 0xc99b9ba9, 0x835971ec, 0x737162b5, 0x34c06d59, 0x136caa8c,
+    0x96603ad6, 0x42c73cf0, 0x3e72c525, 0x609f1ec7, 0xcd917342, 0xa5f046ff, 0x641f6572, 0xcdb82a14,
+    0xf864d271, 0xb633281d, 0x8dc10031, 0xbdc76ea2, 0xf2e70d4a, 0x5efb708f, 0x61389cd3, 0xd9faec92,
+    0xb43db887, 0x8ac022aa, 0xb8aa1582, 0x417e61bb, 0x9b2318ef, 0xb81f3a5f, 0xa54e1d58, 0xa416ddb5,
+    0x1779c226, 0xd02f091d, 0xd53cc578, 0x660a4bdc, 0x63eae3f4, 0x444f5caf, 0x3b1c51e5, 0xb941d9aa,
+    0x51f384e8, 0x74ebb96d, 0xbda9bf87, 0x45f8a550, 0x08fc9b5e, 0x9993cbb1, 0x6fadd453, 0x56d2bafc,
+    0x1f22522e, 0x57d94049, 0x8ef2ceb7, 0x3819f9c2, 0x1b2d6175, 0x34e81477, 0x2b5f7e5f, 0xae0c495e,
+    0xe2e1b919, 0x009e624a, 0xf3c25bfc, 0x39dd73db, 0xa8dfd31c, 0xa285388b, 0x907385ff, 0xc3ddd6f7,
+    0x1f56665d, 0x8a45ed65, 0x7dbdc86a, 0xe4272cc5, 0x951f0a4d, 0x79bbc6ce, 0xee87e61c, 0x33803b05,
+    0x8615f4b2, 0xcb4dec90, 0xf877bb2e, 0x2dcbfc21, 0xb8ed8665, 0x0f3f6086, 0x4b300bdb, 0xa84c7fc9,
+    0xfb27a663, 0xcd20a9a7, 0xd196bbf0, 0xff1e5394, 0x2031757c, 0x1bb1b338, 0x7a57f591, 0x6a4b4f99,
+    0xdab3998c, 0xa244862a, 0x76a3096c, 0x0c053e54, 0x03a4102e, 0x81f59f8f, 0x70d3a09f, 0x06f38dcb,
+    0x3baa7c30, 0xdf4c0d04, 0x6e76233f, 0x348b1f9c, 0x3bd1d100, 0xed646f40, 0x64b741d5, 0x46a87eb5,
+    0x21dcd76e, 0x9f99ee0f, 0xd3957e9c, 0x70323e4c, 0x25b114ea, 0x79785c33, 0xd40eeb1a, 0x552b1ad1,
+    0xfbdba080, 0x6dd83cc5, 0x4cfa9446, 0xfecd7241, 0xf7ace64a, 0x545cc869, 0x30ddcff7, 0x8718f0ea,
+    0x3e313afa, 0x7bb347f9, 0x33c3f7cb, 0x837cef04, 0xf1b09052, 0xb363f724, 0x70cbdbd8, 0x2e0ee669,
+    0x10e44de9, 0x4338325e, 0xce440277, 0xafb2bc55, 0x50fdb43e, 0x0a56fa42, 0x68909bdb, 0xd18a90c3,
+    0xf97c4b78, 0x512e6797, 0xeb3b0874, 0xb6e16ae1, 0x902953b9, 0x683b1266, 0xc0f22e8a, 0x9f1a3c60,
+    0x66a05b5c, 0x003e1081, 0x73dfc15c, 0xf76a8ad2, 0x9eaec726, 0x0b5d93c8, 0x69330887, 0x4899bfcf,
+    0xe2436a94, 0x2c744835, 0x6772fcc2, 0x87244733, 0x056e1399, 0xb6f951df, 0xb2619c47, 0x97d7e219,
+    0x88909a1b, 0xbd43e977, 0x42d8d632, 0x060b5fe3, 0xc06da49c, 0xbbb82b5a, 0xaceecf37, 0x4fae8384,
+    0x082f9a69, 0x8a7f5280, 0x175f47d1, 0x1251d4da, 0x889793da, 0x534e7626, 0x21fb28ca, 0xf2ceadee,
+    0xff6dd3cd, 0x9a3f5a8d, 0xc4c18efe, 0x576d07ba, 0x60dc0d22, 0x66b2f6ab, 0x9153ea75, 0x6452f225,
+    0x0dbaa993, 0xae47ee91, 0xe2228df4, 0x80d415b4, 0x84c98faa, 0xb30db921, 0xc1d72a81, 0xc810d0f0,
+    0x9da72293, 0xa892cae7, 0xf040c895, 0x342a06db, 0x0ee1789a, 0x38fe7bf6, 0xa968d246, 0xeb013390,
+    0x884db361, 0x4b6121a6, 0xcc2df2cf, 0x3ab1b791, 0x3a2cabe5, 0x48266a98, 0xfeb925ad, 0x87b8fb2e,
+    0xb51f28cb, 0xa73ad29b, 0x1075962c, 0xc17e51a5, 0x8ab16302, 0x994587b2, 0x087d7280, 0xaf884791,
+    0x7c0a8904, 0x72ebd243, 0x33ddb738, 0x766940f8, 0x49430207, 0x4ae545df, 0xf1c1d7ad, 0xfe0a818b,
+    0x9dda931a, 0x73174588, 0x06a99d95, 0x8a9f145e, 0x4465d7f6, 0x75ce6071, 0x24d44ae0, 0x503682bc,
+    0x9935777a, 0x08ae9651, 0x48110514, 0xd01fe2b0, 0xed912bae, 0x360a6107, 0xab9cf26b, 0x86883dc6,
+    0x49ba6283, 0xf3380b35, 0xb33543be, 0x2d979766, 0x585039e0, 0x5d08b64f, 0xb81237d8, 0x42088fba,
+    0xeb45baa2, 0x07a5f3d9, 0xd552ad59, 0x8ff64042, 0xbaa2975d, 0x86990922, 0x3dbf4eb0, 0xa549d3a2,
+    0xf9c98d70, 0x6a7dc499, 0x0bb0b1be, 0x26f46bc4, 0x0e21419f, 0xc7ebcbd4, 0xa36b97df, 0x0c237bfa,
+    0xa3f98dd9, 0xfb9e8c39, 0x349f43c2, 0xc4e0ca71, 0xf24cdd8b, 0x24e85391, 0x934540de, 0x0effc9e7,
+    0x5d92d68c, 0x2714552a, 0x399a6517, 0xe042818e, 0x5fa1c969, 0x6d78011b, 0xb626b31f, 0xb36780bd,
+    0xe333187c, 0xd691f01b, 0x9a012d14, 0x39f0956b, 0x54ad939e, 0x084e8a54, 0xb03d3e5e, 0xc6345765,
+    0xfb9152fd, 0xa380c4be, 0xbef02b2d, 0x8b609c8a, 0xb82ff9a8, 0x2c7c3845, 0x0473d653, 0x8b9074ba,
+    0x68ccf317, 0x3cc3cfc6, 0x2b42c59c, 0x883a91ef, 0xc1454935, 0x1a9bb00a, 0xcb2eed47, 0x6976efd7,
+    0x2d5dc6aa, 0x3444a995, 0x888cabca, 0x96834523, 0xa37ed683, 0xc9f41a00, 0x234564ee, 0x59f195fc,
+    0x65b4146d, 0x9842d127, 0x7d9d4a84, 0x35443915, 0x46dc4213, 0xde3fcb63, 0xbd75ecc1, 0x8e74e81b,
+    0xa9aada00, 0x8475388e, 0xbe4ee1d1, 0x9ec16950, 0x9af73e8f, 0xe3c83e6b, 0x38957676, 0xe635ce2b,
+    0x8d37d6aa, 0x7d57366d, 0x681e1ed3, 0x9404d236, 0x85a4108d, 0x912fadb7, 0x1c5ca18c, 0x2983b9ed,
+    0xb0d3fb13, 0xd2e494f3, 0xf145c49a, 0xc1f4eb83, 0x669c59fb, 0x7295066e, 0x190e26e6, 0x55edf38b,
+    0x8eba47de, 0xe1d0a9ee, 0x56aed06b, 0xfd8453f5, 0x3c0e4308, 0x11063ae3, 0xb1e71818, 0x5b39cc1f,
+    0x525ece3a, 0xb3ff0375, 0xbdf6c1f3, 0xb7b92ecb, 0x89cc4d0b, 0xe50b53cc, 0x529f7e31, 0xc8d9dc21,
+    0x9ee185f7, 0xfa2deae6, 0xf84a6752, 0xd81f74ea, 0x32ea036d, 0x8aa5d5c9, 0x4adc1666, 0xa1599fde,
+    0x5755a8e5, 0xd212fbc4, 0x0a613536, 0x605c6e31, 0x3a3a7286, 0xa0857391, 0xb0367fbb, 0x7f5d7c42,
+    0x0b5b7e14, 0x055a3e42, 0xd0011425, 0xad92ae46, 0x104c4401, 0x4b6660f5, 0xd0521e70, 0xd34caeab,
+    0x00000000,
+    0x2f5850d6, 0xfaad8eb4, 0x7ce8f892, 0x3f7a7754, 0x16741994, 0xb2020b9e, 0xb53a46da, 0x57f8dece,
+    0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000025822498780869085896559191720030118743297057\
+                         92829223512830659356540647622016841194629645353280137831435903171972747493376 */
+  { 0x00000000,
+    0xba0f5700, 0xac46ccd0, 0x9abd7e95, 0x9a9d7b3d, 0x157680b4, 0x169d0940, 0x6324d1dc, 0xaafcdccd,
+    0xcc024d68, 0x480ef16b, 0x8ceb00eb, 0x3d2f61b6, 0x20997818, 0x2f92674e, 0x68cf6e3e, 0xfaf4106f,
+    0x691dbc19, 0xaa2012c4, 0x9a3b9839, 0x92591975, 0x4debc055, 0x8e57b561, 0xd0c81b6e, 0xf315d055,
+    0x74561876, 0x7bca7c77, 0x0cb090ea, 0x5ba59c58, 0x3151ea1a, 0x6453d442, 0xb87261e3, 0x07f5b5eb,
+    0x48531792, 0xcf3bbacb, 0x2ad55d74, 0xb16b17ef, 0xde1c1ce0, 0x087b48cd, 0xc3ff2750, 0x10b73cd8,
+    0xd08735b0, 0xdf52ebf7, 0x55938894, 0x3a8410be, 0x87e6144e, 0x4470e53d, 0x80be6a21, 0x29a457bf,
+    0x4b83bc3e, 0x1f0600f2, 0x171b35ca, 0x1067397d, 0xc2e88f75, 0x9eccc877, 0xc38f24fe, 0x2bd8d819,
+    0x8d0ffb02, 0xe7571e6d, 0xcb85ab08, 0x5fc231a9, 0x4b4247a7, 0xd390135e, 0x09eeb123, 0x49c0fb52,
+    0x2fae9187, 0xc07b3a47, 0x26cfe58c, 0x7aa391a5, 0xe453da87, 0x3bc4369a, 0x3ea2a0b1, 0x65bb6a7e,
+    0x6065cfcd, 0x1b6ffd52, 0x8fadafc8, 0x6317194f, 0x9f092af5, 0x5224b379, 0xb07c6be8, 0xc5a95dfd,
+    0x827149d4, 0xdeb6f8bb, 0x24c33849, 0x53decf7f, 0xbdd79fac, 0xa244f6ee, 0x86585865, 0xddfe7dd6,
+    0x693eb0d5, 0xb1763d32, 0xe40c4dcc, 0x17984277, 0xa7523a5a, 0xd9132a34, 0x2c1218c1, 0xf4c149b5,
+    0x862496eb, 0x60b20669, 0x00a71363, 0x0c0a108b, 0x85c8d5a3, 0x8da04484, 0x3b9f2642, 0x81564294,
+    0xb193e533, 0xf8537910, 0xa65633b5, 0xfa395d4c, 0x478a1ce1, 0xb1b3f4af, 0x975738ca, 0xa9828f10,
+    0x94f933bb, 0xec95a2df, 0xfc4485ee, 0x17faa9ec, 0x0b1e80e9, 0x420f1dc7, 0xba4719b0, 0xed6e9488,
+    0xe9fc0f9f, 0x0c8f2cd0, 0x88f73658, 0x9e3caa43, 0xc21fc4a1, 0x83adfa37, 0x5140b313, 0xc93b8671,
+    0x81da47b9, 0x6a0795fb, 0x77ea5e38, 0x7ad58d79, 0x0282430a, 0xa68659cf, 0x60a8010c, 0xc6da3bca,
+    0xc106d360, 0x69c52530, 0xe02fddc9, 0xcd8ac752, 0x621df2b1, 0x985f1799, 0xf4391b43, 0xd33334aa,
+    0x072224af, 0xfc33658a, 0x0210e0e7, 0x87b2ec3f, 0xa11e7e94, 0xea41ce91, 0xc2391f51, 0xd24f112d,
+    0x34567715, 0x36a60420, 0xea1e2693, 0x4614ee14, 0x976b1f7e, 0xfe1d2866, 0xb1913b90, 0x6ad30b62,
+    0x770fdd49, 0x63b1ae08, 0xd2b357ab, 0xf9d122fb, 0xcaf56420, 0x5f3966ce, 0x9d710560, 0xe5acc630,
+    0xe49f6d1f, 0x5642c7f8, 0x2f256fa9, 0x2c0901d6, 0xfbe48003, 0x783a5e85, 0x6f70d4cc, 0x3ee02ea3,
+    0x45698514, 0x11d77112, 0x2553c5a0, 0xeb3ab848, 0xb9010d63, 0x3d07ccf5, 0xebc13ec4, 0xe5510efd,
+    0x61f3040d, 0xb016d006, 0x8211fc5d, 0xcc6c4177, 0xe4a6ffee, 0x7959ac31, 0x485da265, 0x62e0dd85,
+    0x1bdb6639, 0xfc910f05, 0xebbaad5b, 0x0824c394, 0x0087f6ad, 0x0803f81d, 0xb1e33d81, 0x2ad993ec,
+    0x50beb89c, 0x1747ba9a, 0x490bee5f, 0x9ef25284, 0x3df21e35, 0x926418c3, 0x465feaf1, 0x18c52c77,
+    0x196a052b, 0x1fec3b9b, 0xce2710c8, 0x00bc22e3, 0x7a14adb7, 0x6e37a7cf, 0xadb1645c, 0x0cc4c0c2,
+    0x3f78635e, 0x6edf2770, 0xff2190a9, 0x13dcf96a, 0xd9992789, 0x0dfc6653, 0x7bfe3586, 0x4e311f90,
+    0x7149f85f, 0x3ec28d99, 0xb190ad3f, 0xce8178bf, 0x85bffab2, 0xe71be8d0, 0x2d294f66, 0x8b00644c,
+    0xfa973489, 0x9c298eec, 0x8faca684, 0xcb3747c6, 0xb7bd70b1, 0xc3be371c, 0x04219ea1, 0x59c759ab,
+    0x45a9d325, 0xd0e0898d, 0x92d51231, 0x6a25cb76, 0x3fac03e4, 0xb295d4c3, 0x541ba443, 0xf3841300,
+    0x3b3c3f9e, 0x9fc74f5a, 0x48ea7a8c, 0xe2e86916, 0xe784109c, 0x90d2d29f, 0xe24a811d, 0x95db4c02,
+    0x9c587cbb, 0xb1b2459a, 0x4932ea10, 0xfab8e231, 0x21c0a6f4, 0x78421357, 0xeae06fe3, 0xe53584ca,
+    0xeafc4cb6, 0xefa3c54b, 0xfab7d042, 0xbaf32bdb, 0x2a8b2eda, 0x46f2c7dd, 0x1e3e3069, 0xc0e049de,
+    0xf9e2ce4f, 0xa53bed3d, 0x4f6f5e99, 0xc8162279, 0xa6e9a3d0, 0xb3b0bdd6, 0x5c08cd02, 0x23e6f3fb,
+    0x8e1c6f74, 0x0c8652a0, 0x9feaa599, 0x0a7df5a1, 0x93daa065, 0x4eb02987, 0x2c758746, 0x3e1eccab,
+    0x3837e48a, 0x2c28a3c5, 0xbe4c90d1, 0xbfc78485, 0xcbce3372, 0xaa3b9c7a, 0xe39ed330, 0xf1c68325,
+    0x7eefd2a7, 0x713e0228, 0x8fe738b0, 0xe8984976, 0xee88f72e, 0x9c79cd11, 0x8e1b39a0, 0xe3ced431,
+    0x4f2a1984, 0xd6e15ba9, 0x57e8d08f, 0xff101beb, 0x9720eec7, 0x690176af, 0x837eaa09, 0x01690f5e,
+    0xf2303a4d, 0xdd1b8ec3, 0x95427382, 0xb6400289, 0x989dfd31, 0x5a0e2d3a, 0xd3efe834, 0x126c8852,
+    0x1bb9ca09, 0xe242c2e0, 0x7ed43623, 0x1ff470a6, 0xf261cdd6, 0xe6292de9, 0xb29cad42, 0xbb61f761,
+    0x5dd3487d, 0xb8ff2fc4, 0xf0308fb6, 0x34062bfa, 0xa11a7630, 0x9db924d9, 0x05154985, 0x182fc075,
+    0x492bc192, 0xab74727b, 0x95f02d38, 0x671cf60f, 0x8d493ba2, 0x680c282a, 0xfd2be8c1, 0x2c736dd3,
+    0x55cecd18, 0xe2ddb13f, 0xb60a5536, 0x2bb713e6, 0xa3e6e3c6, 0xf95a48f7, 0x5489651a, 0xffe63746,
+    0x62f42bba, 0x5b4c5c1b, 0x2c4faa26, 0xdc5435e8, 0x877a0c82, 0x3280a317, 0x537d43a0, 0x37ecdaec,
+    0x76b1edbc, 0xd57e48a8, 0x167b27d4, 0x7fe462a6, 0xc3e860b2, 0x0266f524, 0x619d4064, 0x9464367f,
+    0xf8a1a35f, 0xa9716163, 0x2eb1a69a, 0x5ff1de99, 0x88dbefd1, 0x69f17727, 0x0ddd0e01, 0x089ae29e,
+    0xc34ab34c, 0x0ad44b4e, 0xfce76c95, 0x984d549a, 0x791dba56, 0xdd423a7d, 0x728e0036, 0xed7017d6,
+    0x382704a5, 0x82a0a7f8, 0x26a0055c, 0x8322fe1b, 0x0dc4f25e, 0x57211505, 0x04e892f7, 0xbb3fdf1a,
+    0xd98e9a00, 0xd044fbfe, 0xe74230c9, 0xc6042cf4, 0xf1b2800a, 0x76a28c30, 0xe251bac7, 0xb0bfb387,
+    0xd9e98a54, 0x2aecf85e, 0x708a8fb9, 0xd1bd7901, 0xc7249e4c, 0xeb712f5c, 0x601bfc45, 0xd39c2e37,
+    0x16ee3ca8, 0x20c0a203, 0x5ed943de, 0xb20a7b24, 0xe5282693, 0x4d2d5f74, 0x8d16ef2d, 0xea6f210a,
+    0x069dbfa5, 0x49b46cd2, 0xd57f4794, 0xb598cc88, 0x53e570cc, 0xa9f730b9, 0xc998b7a3, 0x1434710a,
+    0x17bb6b5a, 0x8549eb8d, 0xd78c51c7, 0x1b51d85e, 0xf9ceb5cf, 0x65a1785a, 0xfcfbed18, 0x8b09efc2,
+    0x7da4a5d9, 0x291959e4, 0xfe7a723d, 0x0bfeb5d4, 0xf6c47bac, 0x37c32d6b, 0x4b9f870e, 0xfffce943,
+    0xdb0a2e7a, 0x3f0e36b7, 0x8e5cff11, 0x28a3203e, 0x9feb234c, 0x7778a5dc, 0x42a55d9a, 0x5053750d,
+    0xe0668902, 0x2c1fbb6e, 0x3900daa9, 0x463bd67f, 0x8fa19e67, 0xcb00d387, 0x6a4481fa, 0x64eb99b7,
+    0x85db254a, 0xdbede816, 0x160e729f, 0xe36b7498, 0xb08f97be, 0x0ad174a6, 0x2a56d596, 0x4bbb42a8,
+    0x16fac6c7, 0x439c241e, 0xc0d03196, 0xc5d25fc0, 0x6d11e436, 0x3cf0628f, 0xe73deb2f, 0x9521bb96,
+    0x6b505dd6, 0x08f2cf44, 0x39e8bd90, 0xea6210bd, 0x404938aa, 0xb2bf0265, 0xb66a6296, 0xbacdf633,
+    0x039844d0, 0xb73f46a9, 0xfcc542d5, 0xda83ae3e, 0x6a194c3c, 0xae76cf08, 0x250173a3, 0x60ac5147,
+    0x86790daf, 0x4f323f7b, 0x75726096, 0xc68e5e9e, 0xafb37152, 0x38cf8c4b, 0x8703df67, 0x4750cb9a,
+    0xe7add949, 0x5de231e1, 0x2f6a35b0, 0xe9abf9a0, 0x81b3c9a4, 0x5ff2fc74, 0xe98fb411, 0x952e3bbf,
+    0x1163af66, 0xe8cf0401, 0x427ca322, 0xf691012d, 0xdb5896e6, 0xf729ab55, 0x342271e5, 0x7e5406be,
+    0x7e02298c, 0xfc6af08e, 0xd94dc030, 0xba01f92c, 0xb9870517, 0xae31e19d, 0xc0d7fa1c, 0xb7049dc6,
+    0x23cc6929, 0x1c2dcd93, 0xcc870373, 0xdba60138, 0x2d90180b, 0x71c76d33, 0x27dd9336, 0xf6e069a8,
+    0xb445b12c, 0x0a72e9e4, 0x28448199, 0x1a2aed5b, 0xe1f37154, 0xa7368a2a, 0x6f4957cb, 0x91cccc91,
+    0x3ef8c952, 0x1bf7d8d3, 0x643cf9fa, 0x4672ac0d, 0xdf0d1005, 0x87264a37, 0xe946076b, 0xecd4456a,
+    0x104a627c, 0xad6bbd47, 0x5be46876, 0x6ad8555f, 0xe2ba95de, 0x0a091f81, 0xe6196791, 0xfeaf199f,
+    0x4bbcaf08, 0xa214dbb2, 0x23107112, 0xd0923a2f, 0x8e6f26e1, 0xb03acbcf, 0xbc92d0f2, 0x79b0770a,
+    0x5244617c, 0xe9fcff01, 0xb04f45dd, 0xcf5104a0, 0xa8d76f99, 0x27e8e802, 0xf9dbceac, 0xab8ea39e,
+    0x041d3c7e, 0x85033ed6, 0x213a3faf, 0x3817715c, 0xa4cdb46d, 0x3c72cf57, 0x5869a7f9, 0x68428850,
+    0x6c033e4c, 0x40b5e619, 0xbfb9e774, 0xda625cd3, 0xd89432b5, 0x2bc7d7d8, 0x704fe4cd, 0x3ae635f2,
+    0x278313eb, 0x1a5edae6, 0x92fbe37d, 0x27cfdac1, 0xe39d844d, 0xe015c2b5, 0x02155f33, 0xc6170535,
+    0x0c1377ab, 0x6d2c61a4, 0x84e14b7c, 0x5ae32f43, 0x121b98f9, 0x3b9fc6cf, 0xb3d38353, 0x580473de,
+    0x22ba2b65, 0x208350da, 0x657c7813, 0x99c71140, 0x2a646538, 0xe454ca16, 0xe2d340bb, 0x9b5b4677,
+    0x5185c1a9, 0xf260bed9, 0x64f3f01d, 0x9ebec9a6, 0x0363612e, 0xe92eaec8, 0x84034634, 0xb2cc3dbe,
+    0x2dfd00c5, 0xbe540773, 0xb6d07d8d, 0x7a8636a4, 0x0ad6d1de, 0xd9c38634, 0x903454a0, 0xf504756a,
+    0x0c1a4a6f, 0xc71e7643, 0x6afc4802, 0x877dc3a1, 0xd1cf11d9, 0x4f2b559e, 0xbf7e8d18, 0x6d0d5970,
+    0xf28e9b5c, 0x0ec3c4db, 0x076cc0ef, 0x43745816, 0x27b82a4a, 0xbd9d9861, 0xa194d016, 0x75ff9239,
+    0x13a8b204, 0x4eed083c, 0xaed9c046, 0xbf9cb6ac, 0x2e982ad4, 0x18e066ca, 0x757acd60, 0x8abd4f9a,
+    0xf7dd1ae2, 0xeb358b4e, 0x3bbc9f7e, 0xcf4223c2, 0x037e7f12, 0xa60432f1, 0x6411f272, 0x1171b872,
+    0xe5675ac3, 0xbad25615, 0x7dfac0f0, 0x66407e3f, 0xaee1627b, 0x249bfe60, 0x1121535c, 0xcb3ec88f,
+    0x17b1527a, 0x6511cbfa, 0x39d539c8, 0x83c6ae1e, 0xdef2c6bd, 0x9db1a296, 0xc2894e75, 0xe5e7f486,
+    0x2320194f, 0x00610080, 0x69e03468, 0x196e8c11, 0xe3b9770b, 0x8d23c740, 0xaae67db2, 0xbb987bff,
+    0xe8dbb308, 0xe5a9a148, 0xe7f7247a, 0xd2d8264e, 0x8a07ee6c, 0xe3b0deb7, 0xafeeeb67, 0x91ae60a2,
+    0x715fc830, 0x08d3d432, 0x2222c57f, 0xcddc35cc, 0x46b457c0, 0x3dc35659, 0x877fcc4f, 0x1bf86986,
+    0xe0ef7f91, 0x1c3b8d5d, 0x1937cb69, 0x3bcb5e72, 0x57da36fa, 0x1aa5a911, 0x491182c4, 0xc3e9192a,
+    0xa1973fcd, 0x6736c26f, 0xc4b2302c, 0x3ac3326b, 0x41743e8b, 0xc198c318, 0xabffdc66, 0x2beed414,
+    0x2db794b5, 0x0069cee6, 0x8c513e73, 0xb362a40c, 0xeba13086, 0x2dbe0363, 0x8c989f7c, 0x59e31374,
+    0x1f3bdb87, 0x34cb2d49, 0x204cf443, 0xd2583f2f, 0xe14e3257, 0x60418dd8, 0x01c03f4a, 0x3ac4f482,
+    0x946cba44, 0xaa8120d6, 0x5f52cc35, 0xf14157c8, 0xcc96ca8f, 0x9c2e35e7, 0x87a9498f, 0xdd5f1f6b,
+    0x5cf373d1, 0xd872b816, 0x88cdf591, 0x8936d311, 0xdff314ee, 0xa89f60be, 0x05278372, 0xe3dbd94f,
+    0x51667eb0, 0x6c49e4fb, 0xab115177, 0x13b56a43, 0x79a79d57, 0xdcdd84b7, 0xb068c0e5, 0x0b21a2c2,
+    0xc91c02a9, 0xb4bc8e57, 0x12b630f1, 0x457c8563, 0x2761a36e, 0xe90095de, 0x0e52d466, 0x2d466d80,
+    0x300c6915, 0xf06623e6, 0xb19fe5b5, 0x8c7cc0f3, 0x4f2f2cbe, 0x69bdd98c, 0xbe3066cb, 0x99a4a0d4,
+    0xf96dbc09, 0x55444201, 0x6fdd61c1, 0x908c273c, 0x1f8fff1e, 0xc8b4785f, 0x938866c0, 0x3b9d3412,
+    0x2dad6c71, 0x9b36bea8, 0x074ce180, 0x3392dd75, 0x86e81e2e, 0xc3821029, 0x4135a1f6, 0xe1861e21,
+    0xfe440cad, 0x645c6f1f, 0xc389d764, 0xe5fddc08, 0x2f3b6218, 0xe9f446ea, 0xe19b9440, 0x9b0a9325,
+    0x34d52280, 0xd7ddff69, 0x32fd2693, 0xc7fc680b, 0x2a993a3b, 0x3b9c4069, 0xf22024d3, 0x2e03dc21,
+    0x60c86b08, 0xf8c6188d, 0x2ba99068, 0x1b1d2c26, 0x9a059e23, 0xee6d34a5, 0xc78f9a5e, 0xb4f5ef4a,
+    0xd3de743a, 0xd634ac22, 0x5b657416, 0x4c072ae3, 0x783a3f3a, 0xff44354e, 0x8f5c6ff7, 0x9335a6d0,
+    0x3e6ba255, 0xb2bf14c9, 0x45c6681c, 0xa86402c8, 0xc1cc9f9f, 0xca7cb4bf, 0x77a30c5b, 0xb9577f2e,
+    0x6618677a, 0xeb33d30d, 0x56a3598e, 0x0842a209, 0x3738ceba, 0x68ef6098, 0xa7325452, 0xa17ad2a3,
+    0xee339b2e, 0x0c755533, 0xa1a27362, 0xac969e1f, 0x410de485, 0x1d8993e5, 0xf6f6216f, 0x4e1f0cef,
+    0x3ae09365, 0x14601577, 0xd438d292, 0x1c8c825a, 0x060f64b5, 0xb874e455, 0x7dda9153, 0x60588b82,
+    0x3915ac29, 0x3d36856b, 0x5259a0ae, 0x7096f17e, 0xf09ef9e0, 0xd7ac5cba, 0xd52a076b, 0x5176a22b,
+    0xe3b58f36, 0xae333218, 0x137bdf6d, 0xc3430119, 0x5595aaec, 0xf6f09f8d, 0xe5c11f24, 0x2f0b4ba6,
+    0x284f70b8, 0x272c6736, 0xcd1336ee, 0x4e1ca098, 0xb8d71e86, 0x2dea174b, 0x40e41c7b, 0x33c5c5ba,
+    0x7bb5590f, 0x2e43fcbc, 0x8989383a, 0x2dcf163a, 0xa3f6ca1b, 0x65de83d2, 0x17edc04f, 0xf0b538fc,
+    0xb12c46aa, 0x5fafeefa, 0x9076dbdd, 0x3bab6cce, 0x52d54d28, 0x1bc41ee1, 0xa18e1c5d, 0x30258af1,
+    0x9114ad37, 0xd8b6ed10, 0x84ca767d, 0x6f7f1771, 0xb47e7abd, 0x6cb25f81, 0xf073c329, 0x3bb41cd9,
+    0x71e8b8a8, 0x53810569, 0x6f6e97b7, 0xc8fdeefe, 0x457062ef, 0x8261d6af, 0xb78dd641, 0x75a04676,
+    0x4b226594, 0x38ff5a05, 0x914f9eb4, 0xb98e95f6, 0xe33e3fcb, 0x78465e93, 0xf41ce92e, 0x54ded2fd,
+    0xbbd909fd, 0x275c926d, 0xace0c6c7, 0x3bd3d992, 0x87572d19, 0xcc77544d, 0x8106caf1, 0x482f5cb7,
+    0xad053c91, 0x77d18e89, 0xee9caaaa, 0xefb26c5a, 0x2ccd5c09, 0x4f0d85ae, 0x834a1ae3, 0xf4eca091,
+    0x67ca9550, 0x50768467, 0x03b23bbc, 0xa1d0f17e, 0x122f7384, 0x529c3799, 0xe5bfea6d, 0x65e3108b,
+    0xae18cd66, 0xda18c9f9, 0xc5333c86, 0xe041a213, 0x54f69b9b, 0xc126f1f5, 0x15f97c4c, 0xa79b883f,
+    0x8292cd03, 0x5a888b07, 0xbc7848d9, 0x08e62cf5, 0x420687e6, 0x844feab3, 0xa4c4b06c, 0x2331bb2b,
+    0x57627768, 0x470a683d, 0x5c3f4702, 0x25a71dd5, 0x1d9dd6f1, 0x48f75bb7, 0x3389bf19, 0xde6ade69,
+    0xa343bc96, 0xad07a3be, 0x1a195a64, 0x11f5f457, 0x7ecb4df6, 0xba3a2552, 0xa0e6af54, 0x085aa7d0,
+    0x993b8dca, 0xece49251, 0x99cea923, 0xa4e0b8f5, 0xb2f75a87, 0xb660d453, 0xa9867066, 0x5a6139f2,
+    0xb7dcb31f, 0x09c9f0b7, 0x1dc08eb5, 0x545cf30f, 0x0761c2a6, 0x1aeebb58, 0x5f414767, 0x587742d6,
+    0xd972de19, 0x4dd69e4b, 0xb21b20b5, 0xaf0018d5, 0xef520916, 0x0b0bd3a8, 0x76985829, 0xdda274fa,
+    0xfadb73f6, 0xd1351856, 0x92907417, 0x34e5621c, 0x48210bf7, 0x4ceb54e8, 0xca980529, 0x48bfc982,
+    0xfc3091b9, 0x6911193f, 0x833682c8, 0x28ff147e, 0x6a3b7f95, 0xa7a54fcf, 0x9025ca3c, 0xe8940dd1,
+    0x00000000,
+    0x17ac286a, 0x7d56c75a, 0x3e747c49, 0x1fbd3baa, 0x0b3a0cca, 0x590105cf, 0x5a9d236d, 0xabfc6f67,
+    0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000012911249390434542948279595860015059371648528\
+                         96414611756415329678270323811008420597314822676640068915717951585986373746688 */
+  { 0x00000000,
+    0xe4b0880e, 0xac4390a0, 0xc62605e5, 0xc8852ecb, 0xae97b902, 0x763e3164, 0x97277f2a, 0x6756c7de,
+    0xfbdd86a2, 0x1487480a, 0x81555dff, 0x08c2df6a, 0x81140ea0, 0xa9da754b, 0x355cf9fe, 0x92ffa67d,
+    0x6fbb0f94, 0x1ef7bdb3, 0x6d4bb1f6, 0x145a1b22, 0xfaca2990, 0x9325a24c, 0x6c7b16f6, 0xa9e3f45a,
+    0x010ed8c1, 0xc4d77c97, 0x68cf2f24, 0x266ae2ae, 0x4b3ac429, 0xddbc3069, 0x0a2f2f1f, 0x65ff9a25,
+    0x08621490, 0x3bae57b8, 0x63f23da0, 0x439618b7, 0x35e90ea2, 0xaf72caa9, 0x861748d9, 0x9b2c3df3,
+    0x1a57c153, 0xd7897cfa, 0xe70f7945, 0xb7326115, 0x16046b3c, 0x5a818b97, 0x37b39294, 0xac6f802c,
+    0x5e24481d, 0x3e387454, 0xb58b0455, 0x148d5aa2, 0x59ba135e, 0x3781a5b6, 0x8ff8ec03, 0xbcb08429,
+    0xbf21dd00, 0x4bac6b7a, 0x36a022ff, 0xecde3b49, 0x57b6348f, 0x8b1a3d9b, 0x9fe3c724, 0xd98a677a,
+    0x07875de2, 0x0d19d265, 0x9a197f1b, 0x73eefde2, 0x783f7117, 0xf406959c, 0x9b36ef46, 0x39d3a5a8,
+    0xc304cbb4, 0x07a1a8e0, 0x8d53b6e9, 0xbc72e033, 0x82128cea, 0xb6cb64da, 0xb80705e9, 0xe355f919,
+    0x2cea75e2, 0x4db4e4c9, 0x5db993eb, 0xde013731, 0x82fb2e9a, 0xd9e1f091, 0xb7b766df, 0x5acde329,
+    0x6416996b, 0x2d7b5f73, 0xa61d678a, 0xa0b8a12e, 0x683140e0, 0xa645ee51, 0x70d923c9, 0xf7d64318,
+    0x2735b65b, 0x72501943, 0x9eea680e, 0xbabb4401, 0x47321fd1, 0xbb3512e6, 0xb07cafcb, 0x179349ab,
+    0x5940a149, 0xc48e56c4, 0x44011cb7, 0x86641d37, 0x705f0ac9, 0x019a6e96, 0x980fe469, 0xd9db82ee,
+    0x1d23ed59, 0x2f128afe, 0xd3ce10bd, 0x079bbf8f, 0xddb44c08, 0xc8a62fee, 0xfa5a1174, 0xd97aae86,
+    0xb5ee3981, 0x6872377f, 0x0e35b3cf, 0x9e72b0bc, 0xf4440f40, 0xb6bdb2f8, 0xfc2e1140, 0xf25f5a7d,
+    0xedd39d72, 0x19ee29c8, 0xefc8dd0e, 0x4b1aa8aa, 0x04d5bdeb, 0xd94e5523, 0x1578f0a9, 0x069e5db9,
+    0x90f04bd4, 0x471ae806, 0x2274b56f, 0x6662393c, 0xe3aad4bc, 0xd5ad10a6, 0xe4ce9bbe, 0x7ae9db20,
+    0xf65daedc, 0x27ed6fd8, 0x19e38c71, 0xcf7144af, 0x07a1ac2a, 0x6a117708, 0xf6d3ae20, 0x5256893d,
+    0xeb3c61e3, 0xe6a4aebc, 0xee4902ae, 0xcf21557a, 0xb3804a12, 0x262df2a7, 0xa027ef42, 0xf6bfe59f,
+    0x514ac0fa, 0x35d4b392, 0xa8d4e152, 0xf1ec468d, 0xc1bfc3f5, 0x5b0e3dbb, 0x2cd2beec, 0xe38bc017,
+    0xe44786ec, 0xfbf55317, 0x1ae6d06c, 0x006f47f2, 0xd84bf6be, 0xac99a909, 0x5ce15544, 0xf7031636,
+    0xb7e60d32, 0x0466dcda, 0xb40fb66e, 0xb47e64fc, 0xdfc46484, 0x89b6618e, 0x2de6f14a, 0x07cca225,
+    0x27426886, 0xd35a3f02, 0xe9d2055f, 0x337f6a4b, 0x8ad78022, 0x36fbcddf, 0x0c868b27, 0x94bd5a57,
+    0x9c38452c, 0x58e4fe55, 0x19e16152, 0x84e9558b, 0x886dbb1f, 0x843d1334, 0x373a00f3, 0xc7d82390,
+    0x78a4aab7, 0x9ea72d77, 0xb18ad749, 0xafcb59ff, 0x88440454, 0x6757a38c, 0xcab95b97, 0x68e15e28,
+    0x2d9230bf, 0x474eac28, 0x694777cc, 0x09ccb7e1, 0xef55ab6d, 0x86f1a8c4, 0x3261afaa, 0xfc2e0cfa,
+    0x06b69179, 0x2f978423, 0x905d7a43, 0xce3da55b, 0xb8d86349, 0x69b960e1, 0x2c15c923, 0xc40794d6,
+    0x227e681f, 0x80e67486, 0x90c78d50, 0x92eaf117, 0xbc60de5a, 0xdc624361, 0x50213411, 0x5d9117c1,
+    0xd8f2338b, 0xacb5f9e7, 0xab6dca11, 0x97ef6f87, 0xca13c1ba, 0x30b9606d, 0xd3b52795, 0xbd0f96bb,
+    0x5a4e6405, 0x23b65b31, 0xbb0afae9, 0x1a5538d2, 0x82231934, 0x9b9ef2ba, 0x9e9d2ca2, 0x1b3fc692,
+    0x9f4ac7ac, 0x688c8b7f, 0xd10f71a4, 0xc7ebcf47, 0x65a81f42, 0x0ed60735, 0x769da052, 0x5fb27e2a,
+    0xbf970adc, 0x09453e72, 0x69a529d6, 0x667533d3, 0xdd4eb2bb, 0x6f6458dc, 0x474ca6b8, 0x1d4de746,
+    0x5d7cafed, 0xb2f82ec0, 0x59de758d, 0x5179cf09, 0x767fc233, 0xba51934f, 0x8d74b1ce, 0x212d29fa,
+    0xe5cfb707, 0x4fe9f394, 0xf1419e2b, 0xfd9d41a8, 0x53169904, 0x5c944869, 0xa9c6f423, 0xfa352e4b,
+    0xd634dfc1, 0x622e41d8, 0xe47a505d, 0x40a01982, 0xa7baeb50, 0xc4c20573, 0x8d760d2f, 0x0aaf159c,
+    0x603c2cce, 0x1195a6e6, 0xc55ee055, 0xadb499a0, 0x4bcb79f1, 0xdfbf2e05, 0x9ea7fe13, 0xca210b99,
+    0x9a7289c3, 0x744266e8, 0x93ae121f, 0xfe45b80b, 0x82094408, 0xdb3671a3, 0xf1fe0be9, 0x0b31e25d,
+    0x0d9f1b6f, 0xc99a0aaf, 0x8ffe5279, 0x0fd04e3e, 0x926fdc2c, 0x44675dc7, 0xdfec0587, 0x80e4069f,
+    0x4b8dc5f8, 0x01558dac, 0x7ea07729, 0x4cecc747, 0x7d3da12c, 0xab548f4d, 0xff859ef7, 0x4e44b630,
+    0x9f310e13, 0x663254a2, 0x5f6b8e18, 0xc315b936, 0x37ea0158, 0xd2c9fc77, 0xe7522f66, 0x821a0b7d,
+    0xebb74e27, 0x17d57906, 0xd73758be, 0xf2e5b059, 0x72b590d3, 0x2003efbf, 0xbc39fb1c, 0xdad2a02e,
+    0xdb3c96b4, 0xa7530c85, 0x6ac6566e, 0xe69273e0, 0x726811d6, 0xbb2cae36, 0x0f128727, 0x6a7fd85c,
+    0xfb9f4d44, 0x46452dd9, 0x85645a0a, 0xf5f99a82, 0x4a7b3a6b, 0x7e81c767, 0xa93fb03c, 0xf069bcb1,
+    0x1ed0b79b, 0x7b3adc8a, 0x0388c87b, 0xa9e4b05a, 0xf7397701, 0x7ffcdb00, 0xf6798524, 0x1b17a1fa,
+    0x680db301, 0xbdfb7bc3, 0x54b6b525, 0x0c295b02, 0x7b0edae0, 0xe2f30a6c, 0x715125ec, 0xb144d20d,
+    0xfc4f3531, 0x90db5787, 0x1a018462, 0x0d67ff1d, 0x0a937c10, 0x72da57e9, 0xe4187ebd, 0x87b5911a,
+    0xf5d40244, 0x5274e625, 0x516db90e, 0x27201737, 0x8403550a, 0x30b1657d, 0x41d040fc, 0x1a603222,
+    0x63fbcabd, 0x0641de84, 0xc67e4304, 0xd7136673, 0x6642758f, 0x019704e4, 0x20e2ea67, 0x29b39edf,
+    0x99686309, 0xf387ebef, 0xba3d5665, 0xc3cff89e, 0x5149e469, 0x3b2458c4, 0x7c110e71, 0xd95f06f5,
+    0x5eb262c9, 0x5b507155, 0xe860e92e, 0x4cb6f486, 0x87746ae7, 0x3b30ea36, 0x2a932b8e, 0xf1f17c61,
+    0xf0180792, 0xf39267a0, 0x7003e94a, 0x698f22b2, 0x4adc0072, 0x69798973, 0x9741984c, 0x797dd933,
+    0xa41becd4, 0x471256ab, 0xc67cba6f, 0x78922c39, 0x427f16e5, 0x207c44c0, 0xd127d6c4, 0x1365a812,
+    0x117c4dbc, 0xb6c50506, 0xaf0e357c, 0x8b6a2f75, 0x4d1b53d5, 0x5cf7ea00, 0x5794a573, 0xd872bdf5,
+    0xaa2e8374, 0xaa41b961, 0xcc4f7ed2, 0xfffdb2e8, 0xbeb8edc6, 0x5913fbe6, 0x92706161, 0xbfa261a4,
+    0x511f8567, 0x5c0d42fb, 0xc175bda5, 0x092daf9e, 0x64193b91, 0x9f9f52e2, 0x431c6807, 0xdcffffea,
+    0xeb9baa6f, 0xdda3b84e, 0x8530c19e, 0xfa605f5b, 0x2df96c89, 0x96ac8c15, 0xed17f913, 0x4536a947,
+    0x4b2fa18c, 0x21aa0a75, 0x278af55b, 0xaf2f214c, 0xbade39f9, 0x447b47b3, 0x602310f9, 0x4d3875ea,
+    0x86bb4885, 0x9b4e58b7, 0xb11c23e8, 0xd5f6002e, 0x595dc91b, 0x04bce2a9, 0x002cc768, 0xc8eb55dd,
+    0x9575b2c3, 0x6d1efb42, 0xd912ea83, 0x21cf5429, 0xed78780f, 0x3441cecb, 0x9e97bc34, 0x95666063,
+    0x6c67cd57, 0x2739a8b8, 0xbbe74e87, 0xa241b379, 0x88d08d0f, 0x2a50a3cd, 0x454fda2f, 0x2acf53e5,
+    0x34b54e4e, 0x239a9f0d, 0xbb424113, 0x4662d740, 0xa6f48862, 0x1f4f75dd, 0xfbdadfc0, 0xd837d6b3,
+    0xbebff8cb, 0x784101d4, 0x6c546750, 0xe3fdcc0d, 0x44fa0cb3, 0xb00ff909, 0x109b8b96, 0xeed84a78,
+    0x09bd60ae, 0x96c75f97, 0x46f6f8fc, 0x1d414ad6, 0x4de2fe9c, 0x4a96b28b, 0x4960d45d, 0xd06dd74b,
+    0xf4fde1cf, 0x43a09d7f, 0x04fd8213, 0xd355f13e, 0x85c8f213, 0xcc5ea1d8, 0xf716b42a, 0x0328ce91,
+    0xf4f9c475, 0x50aca20e, 0x8805bc77, 0x717ebad7, 0xfbedcd0b, 0x1e6e5cb8, 0x9f2381ac, 0xd04a1c0a,
+    0x7f359122, 0x74de412e, 0x71a5c9c9, 0x5b7cc255, 0x007075f1, 0x2d12d0cb, 0x25615927, 0xbe0300e8,
+    0xa01bac67, 0x7a61cde1, 0xc5412243, 0xdf8e3cba, 0xeb58c2c2, 0x298840d2, 0xff4bf3f6, 0x5c06753c,
+    0xf61c931c, 0xce8f0dcd, 0xd51bc340, 0x7a61ac9f, 0xbb144654, 0x0b52518b, 0x067100f5, 0x777cdfc8,
+    0x12eeb40b, 0xb9df2605, 0xf36409b0, 0xe3cb5692, 0x29635db8, 0x485875e7, 0x62b521fd, 0x159ce04b,
+    0x609ff88d, 0xe25ab93d, 0xd02d896d, 0x37c19dde, 0x45fa1254, 0xe81d33f1, 0x707e8a4c, 0x1b2b453a,
+    0xa3e65610, 0x9d39aa46, 0xce33bb2b, 0x70b56757, 0x970b79e9, 0x10962f24, 0x7c9c5415, 0xdb7df803,
+    0x8eb7ff38, 0xf2e0c785, 0x055a67ab, 0xa66d9903, 0x22ff507f, 0x7c940687, 0x24a853a8, 0x5f78f56f,
+    0x81b60f58, 0xd401bd2a, 0x39d6af7d, 0xc4c97dc6, 0x4cfd9db5, 0xf19c1742, 0xa0038f7a, 0x4bef370f,
+    0x699d8f23, 0x01251c57, 0x1538fecc, 0xad2b5185, 0xe1a92353, 0x91b88127, 0xf46125de, 0xd601d74d,
+    0xbded3062, 0x0f043ec3, 0x0af18b76, 0xf31735cf, 0x9ab73611, 0x5008faeb, 0x52bfa798, 0x9c3ea679,
+    0x9cf2b4ab, 0xef18a16e, 0x434e6438, 0x412b20b4, 0x547ca91a, 0xc76ff50f, 0x52fadc90, 0x40bae6cc,
+    0xc8cb7016, 0x359d7b4e, 0x9708580b, 0x8e601653, 0xf2d3b26e, 0xe60e9425, 0x68c11a1b, 0x18daf77e,
+    0xec2b333e, 0x0b47eeb2, 0xe59ff19f, 0x3a1a5410, 0x7bcfa4e7, 0x78f7aef4, 0x776bc7b9, 0xa8269d47,
+    0x35c00d8a, 0xf8c1f302, 0x4743246a, 0xdc94a675, 0x0492001c, 0xce892276, 0xaecb146d, 0x6be495fa,
+    0x9692c6ae, 0x7aa2c3b4, 0x0a47700c, 0x683536b5, 0xcfdb224c, 0x15083fd6, 0xae8108fe, 0x8b4465e2,
+    0x2d680834, 0x3de35621, 0x9cbcfe78, 0x1dff4f4b, 0xd16352d6, 0x6db4d48c, 0x2fa5e701, 0xd0e47ce0,
+    0x6d3eb8f0, 0x253fc04e, 0xd8b24ab9, 0x6da5885c, 0x4f4d71e9, 0x8dae609f, 0xf84c9213, 0xf45e5633,
+    0xefb0c610, 0x7c3d0af2, 0xcb11a575, 0x78c66c37, 0x0050cacd, 0xb5f0a8e6, 0xa608b41a, 0xdec43204,
+    0x56bd604d, 0x3e0dd61f, 0x6aa763b5, 0x25d41a8a, 0xe05f7d4c, 0x5d033218, 0xd82993a4, 0x928a1e10,
+    0xd5438cba, 0x68d51c2a, 0x62cc1950, 0xce64251f, 0x4e104268, 0xa9fa7152, 0xfe0b9441, 0x6f37cf79,
+    0x4db64ee7, 0xa147b9f4, 0xe877f6e9, 0x7a4b7fa9, 0x0bf4255d, 0x625a264e, 0x768599fc, 0x78789bb0,
+    0xf1edbede, 0x39d85bbd, 0x86e2f77c, 0x29e61906, 0x1dc22acf, 0xe912b73d, 0x6689b78a, 0x22742a4f,
+    0x082f3635, 0x46f4955a, 0x04c42c76, 0xb5b874de, 0x83dd0234, 0x54fb67d6, 0xf364c0ae, 0x12603533,
+    0xc71e10cd, 0xa25dc82e, 0xa1747224, 0x9d198997, 0xe79d8b4f, 0x6ac26577, 0x4a1b6448, 0x48dc3fd8,
+    0xf9981a68, 0x908a5337, 0x16b3d36b, 0xeab7b8c0, 0x85a4ee16, 0x0a0c3a99, 0x3f0108cd, 0xcafb11bc,
+    0xb9cc9489, 0x97f99b7e, 0xd5b9e7b3, 0xe59a5174, 0x66d76275, 0xbe2a562b, 0x8de18bb3, 0x1d1165ad,
+    0x65b9d3b1, 0xbdee4357, 0xbae5dc20, 0xf68f59f3, 0xa42026fe, 0xd51243e5, 0x782d1fbb, 0x7b67352c,
+    0xb4b9be22, 0xb30d8b85, 0x31d132c3, 0x851b006b, 0xf10d1f17, 0xbf21bdcc, 0xca835575, 0x57f38f69,
+    0x552a973c, 0xf98c5444, 0x44b0a7c0, 0x66976785, 0xdde04b8c, 0xaea04861, 0x4670e5d9, 0xb1493649,
+    0x8d728484, 0x8cb26f92, 0x43df6311, 0x63ef914d, 0x50a7b7ee, 0x754fa892, 0x4e1bb1c1, 0x27e37010,
+    0x6ee8db23, 0x79893634, 0x36f293df, 0x407dd1de, 0x5d4d5d82, 0xeaff8bd4, 0xe7aee0fe, 0xad0bad4b,
+    0xad478e65, 0x723cebb1, 0xca293ebe, 0xc408eecb, 0xb49599ce, 0xfc8b98df, 0x9d495e0b, 0x8445e47b,
+    0x89db72f7, 0xcbfc4d42, 0x766139f3, 0xfdd60bf0, 0x975250ee, 0xc2b6fb86, 0xcde4b071, 0x6a2c5cbf,
+    0x2e065476, 0x7476a4b0, 0x04bdff2f, 0x67ed1fa0, 0xa7fc6554, 0xe5046313, 0x706ff88f, 0x35dc3afa,
+    0x956973e5, 0x8faa6d29, 0x6970d7c2, 0x859d1966, 0xa3a0550e, 0xad3bfec5, 0x9e75036b, 0x4cd4096c,
+    0x40d77b39, 0xa4a99526, 0x01d45af0, 0x3f226995, 0x3e642377, 0xb4ee2831, 0x91ba0c7c, 0x4fa884cb,
+    0x677ef595, 0xdc5818f0, 0x02e4a4bb, 0x9f7612e4, 0x750bb550, 0x3ccf4aa9, 0x5a8e9aef, 0xd5630fcf,
+    0x584081d4, 0x358238f4, 0xe0831f43, 0xe4b921f4, 0x9085ef76, 0x9aebeb95, 0x7fa91c61, 0x0379b2b9,
+    0x1893b8da, 0xdb99fc1e, 0xdfb18ebc, 0x1e9e9176, 0x764308b6, 0x13d5ad27, 0x09f136fa, 0xe1b2be2e,
+    0x2baffde6, 0xfdd4c681, 0x896f0e20, 0x4eef570e, 0x09f008d3, 0x31a11b10, 0x5fecfd57, 0x6b4b2e81,
+    0xc90eeb93, 0x52c889c7, 0xbbb19c47, 0x2ae329b3, 0x3c7a3650, 0xf6f67fae, 0x2e24f2d3, 0x422eed44,
+    0x0c4655cb, 0xd019cea6, 0x6f901776, 0xe152851b, 0xda97b67e, 0xea69f336, 0x013cd198, 0x563cc5b2,
+    0x5a030d1c, 0x1943e40f, 0xf9939ca2, 0xab8e73d0, 0x4ce81df2, 0x8fe4a6ce, 0x45c87a27, 0xa06a2a3c,
+    0xb178c169, 0x509b475c, 0x4417f898, 0x1d050e61, 0x9404ab7a, 0xbc4d62de, 0x3a1efeaa, 0xeac16348,
+    0x66ba8654, 0xda7de019, 0x23d4afce, 0x6a0cf4e7, 0x99818342, 0x6cbf655a, 0xc270dcd1, 0x0b0a2919,
+    0x7cde6073, 0xbf58219f, 0xa7319dc9, 0x1b2b4b75, 0x993fb5c8, 0x8fe6949c, 0x3b5fe125, 0x25704171,
+    0xe2e8ec08, 0x3324be5f, 0x6e6fa34b, 0x0848b43f, 0xc43b799e, 0x08593b0c, 0x85bb52e7, 0x8cffb232,
+    0x43e0fc04, 0x34b448a2, 0x784bc00c, 0x2395b43b, 0x68d426a5, 0xa0ee8468, 0x8f3110b5, 0x7fef63c4,
+    0xb77057ad, 0x74c792b1, 0xaf1d9954, 0x0212d1ea, 0x97822c76, 0x899c5994, 0xff22fea5, 0x3d52cbd4,
+    0xd20fe8d7, 0x88ae4158, 0xd5d977ad, 0xc1802f65, 0x57f8d74b, 0x29da972d, 0xd789d6c2, 0xff238526,
+    0x1b1e8d7d, 0x409eae3c, 0xe6a72fcd, 0x74d54925, 0x29ded750, 0x62211cb4, 0xdc2e27e8, 0xe1dba924,
+    0x4acf29c8, 0x17e12ade, 0x59a40f64, 0x88403abc, 0x959a7c6e, 0xad18d02b, 0x604e70bf, 0x5ccaecba,
+    0x678ad797, 0x5645aebf, 0xc54a4bd0, 0x9a48c8d8, 0x97f64c67, 0x5b194dad, 0xa345df09, 0x862e3608,
+    0x4fe84c77, 0x69a29abd, 0x972bcd80, 0x69813110, 0x3d626519, 0xdda8c33d, 0x99192fb6, 0x6c28ca03,
+    0x291517b1, 0x88f84686, 0x99f5f65f, 0xed16b382, 0x707a67f5, 0xe24230c6, 0x64091012, 0xb8398c37,
+    0xa260e09f, 0x368ce4d7, 0x34d63e3c, 0xbc9f8fd6, 0xf4f0f241, 0xa686f74a, 0xbb75e27c, 0xc6d8e83c,
+    0x0a00fcea, 0xc6823a55, 0x902f2c67, 0xe6e26a28, 0x328052c8, 0xbe089c09, 0x3b4eb2a1, 0xfe56519b,
+    0xe846fa1d, 0x0f5f01b0, 0xd79e6868, 0x56030b47, 0x25f68742, 0x8c6632e8, 0xd4d15ce5, 0x8024ba54,
+    0x71bf367b, 0x7f8d2a39, 0x8cf4d154, 0xbeecde7a, 0x226dbb68, 0xbbaed6c7, 0xdb55e382, 0xe7089c6a,
+    0x7ed25498, 0xed3beb94, 0xbbc6b54b, 0x1a30fd85, 0x83870a9d, 0x90356ea3, 0x8fed5d09, 0xf402206b,
+    0x00000000,
+    0x0bd61434, 0xbeab63ad, 0x1f3a3e24, 0x0fde9dd5, 0x859d0665, 0xac8082e7, 0xad4e91b6, 0x55fe37b3,
+    0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000006455624695217271474139797930007529685824264\
+                         48207305878207664839135161905504210298657411338320034457858975792993186873344 */
+  { 0x00000000,
+    0x2e5cad1a, 0x26eac89c, 0xcafdffcc, 0x034d37b2, 0x35bf121e, 0xda7920ba, 0x8fde5b5a, 0x0593ba0d,
+    0xd12ea675, 0xd367f69f, 0xe7b3812f, 0xc67754dc, 0x45db682d, 0xa818b40b, 0xc42adcb9, 0x33292c29,
+    0x5d57e484, 0x132a4a4f, 0xe135d834, 0xabdde9e0, 0x5ed4b749, 0xbf810ba6, 0xa9e26656, 0xafb0ae84,
+    0x02a2e286, 0x90fa7e2f, 0xc99e8ab4, 0x42d71aeb, 0xf799933a, 0x247bc58f, 0xa8e48a77, 0x43d6e122,
+    0x6460aa63, 0x5f0692c0, 0xd2e148e0, 0xcba432e7, 0x5f1da70c, 0x17efdcbb, 0xfb10455c, 0x4336d02e,
+    0x8d3a71c4, 0x0dbda7c4, 0x8bcb0258, 0x8a11bdf3, 0xbe736a2d, 0xdb6868e4, 0x6b32a601, 0x5b2ca67d,
+    0x55d67744, 0xdff3df25, 0x70c102ad, 0x3d01d511, 0x76b95beb, 0x84781f57, 0xb0918366, 0x1f42f83f,
+    0x631f9d5f, 0xf4a445c4, 0x0f6c6a3d, 0x681484d2, 0x6f4db856, 0x900fc171, 0x868e1507, 0x8986f470,
+    0x0e2cf4e3, 0x78bac6dd, 0x83e26f91, 0xcdb40de3, 0xf3f6bfe7, 0xc64805a3, 0x61c77e12, 0x646d7b35,
+    0xd2ba322c, 0xdb8399cc, 0xed548a73, 0xdbe391c2, 0x66a3ea1d, 0x53566d72, 0xf8a78d34, 0xa2f11a0b,
+    0xad0bac96, 0xe7f0597d, 0x4cd2b5e7, 0xf26ad863, 0xb3981507, 0x77985708, 0x28fccfcd, 0x52b8e739,
+    0x509ee062, 0x555322af, 0xf9bdd0e8, 0x4ede6877, 0x54c28637, 0x3dcd45cb, 0x614a1f65, 0x0a6dd854,
+    0x22ffffea, 0x9a955073, 0xd007ff47, 0xbd678536, 0xdc7dad4c, 0x2f9d6f35, 0x6b4c4c98, 0x94dd1c2b,
+    0xed0707f2, 0x684744f4, 0xebd0cb48, 0x86792f2e, 0x18ce7486, 0x6db8ff72, 0x1b7d0f04, 0xdf13a12b,
+    0xb922f9ad, 0x63644bbe, 0xe996596c, 0x09bddc50, 0x92fab857, 0x81773f1e, 0x0ee85a4b, 0x032033b4,
+    0xa38cb12f, 0x5964b233, 0x7c4f20cb, 0x4cfb5170, 0x31407def, 0xc638d0d5, 0x37af853e, 0xd77510fe,
+    0x4e373fc1, 0x9fb19045, 0x9d8897bb, 0x96edb16d, 0x629d9e98, 0x024aa430, 0xe638ca6d, 0x94236219,
+    0x44c8caed, 0x47d08121, 0xbc1ca4c7, 0x60aaed29, 0x3c679678, 0x6ab94245, 0x637db74a, 0x4a72b143,
+    0xfeb4c762, 0xe1a8421a, 0xcf89c583, 0xa9296c8f, 0x4c497b17, 0xeace863e, 0xc6333625, 0x71e4cf00,
+    0x06c994c6, 0x39611b58, 0xc5d0e450, 0x3bbc891e, 0x1cab6b02, 0xa6ba3a20, 0x6a9afd25, 0x1f1a24ea,
+    0xab28adc2, 0x00ddbed3, 0x00031905, 0x92dc3a74, 0xd695eccd, 0x84852d96, 0x7b987304, 0xb23c528c,
+    0xd860c0f6, 0xb24fb3e9, 0x513fa70a, 0xd24418e2, 0x80050b0f, 0xd358aec2, 0x9160a03b, 0xad4470f8,
+    0x7c803cf4, 0xaaeb2513, 0x9e0a9bc7, 0xe63c640c, 0xe66b6d9b, 0x8d599e2a, 0xccb6b938, 0xc29b27e7,
+    0x5ef6389c, 0xfc7b8224, 0x2d4a4723, 0xb7d455f7, 0x1f3bbf55, 0x179d8da0, 0x575fef10, 0x8d819dea,
+    0x6ba9343d, 0x15eeb35d, 0x6e5b19a6, 0x80b44ac9, 0xf87d56f1, 0xedd84f51, 0x3c512d91, 0xc5e64830,
+    0x7b4d3eb5, 0x64fc0671, 0x0cc34f68, 0xaef91bca, 0xac00d028, 0xa647fb10, 0x70f071bd, 0xd4cd88bb,
+    0xe4f5205a, 0x6dd14bde, 0xcce122dd, 0xcfce8509, 0x34181f9b, 0x147c288a, 0x2142475b, 0x982f20af,
+    0x52b59a78, 0xbfa1d805, 0x3e74c081, 0xb54c4559, 0x57a2670a, 0x9414ee20, 0x4d763093, 0xdbf984ef,
+    0x19ca8f7f, 0xf838b6c3, 0xa62155a7, 0x2bf447f2, 0x11afe696, 0xfd9cec8b, 0xe8374a9e, 0x67543dd2,
+    0x2d1b4776, 0xd55bd663, 0x0725922a, 0xb89adc6f, 0x0c218c07, 0x87a8e81f, 0xf0804aaf, 0x89607755,
+    0xbae5f3b3, 0xd76efa3b, 0x227b2e9a, 0x161e2007, 0x0c24ecc1, 0xc121801b, 0x0f2634f7, 0x4ece240d,
+    0x10577e0c, 0xc7c753b4, 0x7da799b1, 0x81b498a0, 0xcc670c65, 0xbe5cda05, 0x8ba52289, 0x20c8df95,
+    0x07cea5ac, 0xa619759c, 0xb90fe8eb, 0x0b35e258, 0xe7838e71, 0xb1b25907, 0x517222e4, 0x55977281,
+    0x0491880a, 0x79a846ce, 0x3360a160, 0xaf788ec0, 0xe6d0d750, 0x1b837f07, 0xd4ae8632, 0xf0730fad,
+    0x2665ad06, 0x522185df, 0x8521a52b, 0x8b988faa, 0x7f4f53f8, 0xd26f50f8, 0xb649920b, 0x322a92cc,
+    0x910a58b3, 0x8f3f1447, 0xbd799ffb, 0x729516b0, 0xca099e6e, 0x86117781, 0xa06bef77, 0x8e6570f7,
+    0x2f10c3e7, 0xa53e033e, 0xc31dfeb3, 0x0cf7c3c0, 0x7dd80383, 0xf19fe596, 0xe4a3b8a0, 0x5120c948,
+    0x3e4b1371, 0xe031abf0, 0x8ea5249f, 0x37d242be, 0xc496e8e4, 0x7ae5d8f7, 0xa87f927f, 0x230aa24e,
+    0x524193bf, 0x5f8aea7c, 0x9d6572b8, 0x129f4feb, 0x015988e5, 0x26ca6d02, 0xd8fc48b8, 0x279f0b54,
+    0x7e7b7c34, 0x7eea2c2f, 0x207e1efc, 0x204bac38, 0x85daa77a, 0x6f630b60, 0x5ced095f, 0x5d4a9b13,
+    0xd0627a7d, 0x46386415, 0x8b4d61ce, 0xea9be666, 0xa67825b6, 0xfe407e88, 0xdafc4106, 0x154e20cc,
+    0xf6e941fd, 0x3f0c9a37, 0x46d89ac6, 0x93e2c793, 0x6f5d1ba5, 0xf4031808, 0xc7a00672, 0x7dfa47c6,
+    0xe6c83fac, 0xc2bb21d4, 0x3c3c899f, 0xcd6f5517, 0x5b59b89b, 0xbfb76bd0, 0xcc90f967, 0xd52fead2,
+    0x06ea935d, 0xb4d5a1e0, 0x7efed82c, 0x12457f4f, 0x9987c691, 0x376e57b8, 0x8d9a42a9, 0x5ab635cc,
+    0x648fc001, 0x5300616f, 0x8cbf5617, 0xaec8fe24, 0xa46bdcbd, 0xaa92227b, 0x5db3236d, 0xd0279796,
+    0x7734bccc, 0x7ee6f617, 0x19285fcf, 0xa1ef77b9, 0xf6f61e79, 0x70b4e602, 0x76eda8f9, 0xb5d63f9a,
+    0xba6bb564, 0x20e8fcb9, 0x46f81677, 0xf0b936e3, 0x19c00292, 0x683bf532, 0xefeffcaf, 0x0efe1395,
+    0x28f557b7, 0x40dea5e1, 0x09e4291b, 0x9629bef9, 0x264cfb5c, 0xcab41a8a, 0x6bbe606e, 0xd42d120e,
+    0x078f7fa7, 0xff9ccbd3, 0x7d9d3544, 0x664d267e, 0x1a8ee32a, 0x2a3f9140, 0xe386de12, 0x8c0b3217,
+    0xb5c01af0, 0xa42d2218, 0xdcfa4b9a, 0x04f71a79, 0x455520f6, 0x26232571, 0xcc1e6cf2, 0xe743aa11,
+    0x2e8ec919, 0x451545d0, 0xfbd91d36, 0xd49e0dba, 0x8859bd99, 0x63053005, 0x9f4266ae, 0xb506f9f4,
+    0xe6fac00d, 0xdc5ca0d8, 0xae36538c, 0x454f1380, 0xce0540e3, 0x2707de3b, 0x36551de8, 0x60f41d5e,
+    0xcb2f7f42, 0xf0b8f852, 0xe0662e88, 0xffca6401, 0xf35717cf, 0x4c242ee1, 0x145d1c13, 0x37b2c8b2,
+    0xca9d8044, 0xd68dc51f, 0x1684b377, 0xbaaf305a, 0x2c6a122c, 0x9bbe873f, 0xd9b9f422, 0x05d9be24,
+    0xaa5df999, 0x8715846b, 0xa3aabb69, 0xc558881f, 0x7291b655, 0xad0bf714, 0x0791437a, 0x550a2928,
+    0x5f23fc7a, 0x02aed768, 0x8b0d25ea, 0x249e1950, 0xec702424, 0x7c8cebd5, 0x46debe9f, 0x888fcf07,
+    0x8704ce5c, 0x051773f8, 0x5843a4bb, 0x960a6993, 0xd6a30a1f, 0x2cf3bbda, 0x851f45b5, 0x7961835b,
+    0x266aaf2a, 0x97f73e0d, 0x70f97ddb, 0xc7e47bd7, 0x8ddd4738, 0x53d4900c, 0x835426c0, 0xc9c017c4,
+    0x8ebbf56a, 0xe3bddcd9, 0x2692970a, 0x16327f72, 0xd15880c0, 0x44c63ec6, 0xf662cd4b, 0xb866c43c,
+    0x70e1f30e, 0xf210df3e, 0x3f4d62ad, 0x1bd17a1e, 0xc4f02985, 0x0d0fcfa7, 0x6bcc73b7, 0x019944b1,
+    0x550b2a02, 0x51dcc993, 0x00bebeb2, 0xfe6f82f1, 0xc1c0c358, 0x9a1829fe, 0x98e49a15, 0xc5336946,
+    0x985bc967, 0x5538ff68, 0x2c39a964, 0x2a8aede6, 0xa988cbe9, 0xca119e08, 0x220fd4b6, 0x1e991bde,
+    0x1e0a4acf, 0x6f066f62, 0xe1a39ec9, 0x1bf5e45d, 0xf0f45116, 0x22062066, 0x1b04199d, 0xd2fb1d0d,
+    0x405d9b34, 0x850f9d91, 0x100c9eaa, 0xc2a11946, 0x9ae89176, 0x17096d36, 0xd79c8d42, 0x9c965221,
+    0xef175a55, 0xedcd90c6, 0x1b6b25c6, 0x34664b97, 0x29ab38fb, 0xfbda2ca8, 0x91c6e01c, 0x63b1a8c8,
+    0x882a41e4, 0xe26159db, 0x64550986, 0xb64d5494, 0x280fa589, 0x1f45b5f4, 0xb11514be, 0x1bd7b864,
+    0x7ca7056c, 0x3b11051f, 0x823b969c, 0x02dec281, 0x092d1f72, 0x98e14d5b, 0x8f98c07c, 0x2bc23dbb,
+    0x97624177, 0x9289dcdb, 0x34beb45c, 0xcdd7641a, 0x9e373327, 0x8072c364, 0x448e72c2, 0x46a2880f,
+    0x574278f8, 0xa1113da3, 0xbaf06cc3, 0xcd8b065d, 0x5cdfae50, 0x6dda77e6, 0xc9b6c9a5, 0xbf764901,
+    0x01c0f394, 0x1b28a7e2, 0x32f382d4, 0x7cead7b2, 0xfaa75f32, 0xa99ca1a1, 0xb5a3d502, 0xcdd6fee3,
+    0xd801028f, 0x0c78cddf, 0xef792a02, 0x8dbfbcb7, 0xe9faaf21, 0xe18b262f, 0x55665649, 0x540f0328,
+    0x2705c6ef, 0xfb130773, 0x05be3155, 0x97b364d3, 0xcd4d0ed9, 0x5a007a83, 0xa4c0a418, 0x29d4c91e,
+    0x81fc101f, 0x4bc4a7a2, 0xc65731a0, 0xefbd1860, 0xedf3ba38, 0x2732be00, 0xed86b3e2, 0x86654f8e,
+    0x5ce07455, 0x8459b63e, 0xe13c1d13, 0x866fa38f, 0x50915c52, 0xd2d6d6a3, 0xb49e2d46, 0x133a256a,
+    0xc433fae1, 0xeaf3b345, 0x7100c4e1, 0x3c772c81, 0x7036924c, 0x624de1df, 0x28e5b5c4, 0xd5a31025,
+    0x8028c896, 0xc17eb3cf, 0x4387e300, 0xe1385dac, 0x2c630cf0, 0x47fd15a1, 0x334959d6, 0xa2075a3b,
+    0xca25e7b0, 0x5464fb29, 0x44ffd9ae, 0xa994eb28, 0x2af37cc6, 0x712ec958, 0x069eb9ca, 0xf12dcd74,
+    0x98a61595, 0xcf261dc4, 0xe7c72857, 0x791bdbbb, 0x10d8a027, 0x97c83724, 0x04660787, 0xfde64323,
+    0xc0dbcb27, 0xce8348c3, 0xe921ba05, 0xc9ad9a6e, 0x4d0a85b1, 0xab0d8784, 0x6a714a9f, 0x168021fd,
+    0x4ef1278e, 0x347367f2, 0x82e38f73, 0xe7f0682b, 0x618a5f19, 0xe2d15272, 0xb1413a34, 0x22e206bf,
+    0x7459468d, 0x8e93f969, 0xdb791723, 0x3494798b, 0xc74ad0d1, 0x6d77c7f5, 0x952901da, 0x11c8f794,
+    0xa0dfa9ab, 0x52f43371, 0x96cfee61, 0x17d7a7a4, 0x49c78f3e, 0xb14b7751, 0x892171bd, 0x1b74124f,
+    0x3e5542de, 0xb127046a, 0x414070e0, 0xd5f2e469, 0x454e84ea, 0x4fd57b43, 0xaa4bb555, 0x4b287870,
+    0x15526533, 0xd3ade7b7, 0x2f4b884f, 0x7e973adb, 0x946918f8, 0xe4bb669b, 0x3950d8a3, 0x26bbb7e5,
+    0xfb94a6c4, 0xd95f6e35, 0xc481f53e, 0xab30ba01, 0x02961428, 0xaf79ed2b, 0x96c0f3db, 0x200d859f,
+    0xc4af8ac4, 0x5e22d057, 0x7aba7285, 0xaa28145e, 0xe529407a, 0xcafab2b9, 0xd25fe98c, 0x700b3c99,
+    0x8718b1e1, 0x0e355c22, 0x493feed6, 0x22188a86, 0x20ccd9f6, 0xdb61f154, 0xe0095209, 0x3ebc76e2,
+    0x7ea634ef, 0xe46d7d74, 0x5bb70559, 0x4141d8ad, 0xfce7833f, 0x2ea9211c, 0xc815b627, 0x4004c03f,
+    0xbc604c4c, 0x90707780, 0x2c526d4e, 0x0830d8c6, 0xb6f7de36, 0xaf1b5742, 0x9d723bd2, 0xc79bfce8,
+    0x436b5cc3, 0x99b952e1, 0x66a4b129, 0x15c7a4ce, 0x7ee15b74, 0x87904200, 0x82ee3a4a, 0xeeb7e289,
+    0x36c1f001, 0xb4d67e48, 0x9ac1589d, 0xd233438c, 0x63966fe3, 0xd37b0b0e, 0x1637ccb4, 0x8c078182,
+    0x4c2cb46c, 0x9066dc84, 0x5d55c6d5, 0x7ab8f519, 0x697dabb6, 0x99b3ec8e, 0x84aafc98, 0xfff554d5,
+    0x0ec86950, 0x9ff3cdd3, 0x10644b9d, 0x40b9b440, 0x96327f5a, 0x1ef66301, 0x647b394b, 0x7ee82370,
+    0x73ff1cf9, 0xd08dc827, 0x0c678fdc, 0xe42b83e7, 0xdc6403cf, 0x98a8ad11, 0x6f04a8b6, 0xd78dfd62,
+    0x5a4a8b5b, 0xf7fd61ae, 0x60329794, 0xe4474443, 0x8e92aeee, 0x81cfb082, 0xf6a66cbc, 0xeb6df875,
+    0x75ecba84, 0x0e96c287, 0x0d0a8b91, 0xd0c795a9, 0x7151e7ea, 0x8cc659a4, 0xba716b1a, 0x54ab9a26,
+    0x9ff7039d, 0x59273463, 0x280f107c, 0x67d7b02d, 0x927b1d32, 0x678e0c7f, 0x05f7a445, 0xf0629e4e,
+    0xf2132bce, 0x357f66b7, 0xbf5146bc, 0x4ea15a8b, 0xdaceee2e, 0xa0f183a0, 0x71ddef87, 0xe073bb88,
+    0x27ddc723, 0x97faedda, 0x87f9a4d1, 0x112b4e58, 0x42de3f6c, 0x3229b126, 0xbe43d58a, 0x0aaf74c0,
+    0x172b33ea, 0xd7c9d871, 0xa63b8625, 0x3c02c577, 0x34125c53, 0x28f5c33a, 0xf9fb7e3f, 0x8dd773e2,
+    0xa04b3910, 0xcc14e013, 0x1cbdbed7, 0xabc1d765, 0xbd564b97, 0x16e69d12, 0xc1fb8cf8, 0xa05c4637,
+    0xce26e298, 0x20f9276d, 0xc001cef4, 0x8733f925, 0xe8af47b6, 0xad558a4e, 0xc88e37ec, 0x6fff3a87,
+    0x7f7ee707, 0xa29af0c3, 0xada287c1, 0xdf70d9c3, 0x1e8f9b75, 0x3eca4e17, 0x882a3311, 0xe46ad2e6,
+    0x69f7b555, 0xa90ade95, 0x62f11fae, 0x400d50c4, 0x5ce5993e, 0x0137b6e0, 0xc9231a78, 0x02fb7eda,
+    0x9f6e1c88, 0x6fa33266, 0x84ad8456, 0x32261cf2, 0x328310cf, 0x8369bc79, 0x18dba1df, 0x58866966,
+    0x338bed4e, 0xdefedeba, 0x2a802d6f, 0x6e97ba1b, 0x1ca278df, 0xd4551e63, 0xa2570384, 0xce5cc992,
+    0x87fd744a, 0xc0caac37, 0xaf04e599, 0x34290d83, 0x3d638bc3, 0xe49ee0c7, 0x9d3f1ea9, 0xa886eb6d,
+    0x3aec13c6, 0x01bab330, 0x3ec37c8c, 0x0cfb8508, 0xf92a1e28, 0x5a731a3a, 0x6379cd29, 0x05d4610d,
+    0xc10bd5ae, 0xd2c20b7f, 0x5a4ec460, 0x3ce25602, 0x4434bfba, 0x384856db, 0xa1b1f26f, 0x75dd6a83,
+    0xf4e238a0, 0xd8fd58db, 0x9e6a1d08, 0x0b1fedba, 0xf4798f3d, 0x3df502f2, 0x6004cbd4, 0xc55bab82,
+    0x0fdfbd83, 0xfb1871a0, 0xa04d44df, 0x3dba0523, 0xd4279a7e, 0x3a621314, 0xd1bbb9c4, 0x3df7e4fd,
+    0x7f6f4264, 0x65db6d12, 0x2ea2d172, 0x83101783, 0xcc409cb1, 0x9e7e3656, 0x255a9f41, 0xd3d0002e,
+    0xa69696df, 0xd25370af, 0xd97ff354, 0x82885ba1, 0xd7f9791b, 0xd9888395, 0x35541c9d, 0x966ac610,
+    0x2e690d40, 0xd7923a5b, 0x1ddcdc85, 0xdea2477e, 0x98916806, 0xe4c9a1e2, 0x29f1b61b, 0x9cd884cc,
+    0x1f7e63fd, 0x3960d7ba, 0x9f2ba4a3, 0x10ed28f6, 0xde09d566, 0x0372365f, 0xc5339ed9, 0xeff71cfe,
+    0xf2517e0b, 0x542e9e64, 0x16c31584, 0x5d462701, 0xda8c6652, 0x5e86a19d, 0x83857822, 0x1a3ea58b,
+    0xcee279d1, 0x8374332c, 0x6a98f28c, 0xe3c697c8, 0x94686859, 0x725abe7a, 0x2b844f7a, 0x9ce5d883,
+    0x9ecdf0a9, 0x15585f24, 0xbc936606, 0xd2ae9ee2, 0xaef8f95f, 0x35994967, 0xe504906b, 0x53285b9c,
+    0xcfe8479b, 0x3b40d661, 0x67e50841, 0x3701de61, 0xf3d24ef4, 0x95f986d2, 0x0704a371, 0x711c225c,
+    0x6d394986, 0xe31a16ac, 0xba12ded1, 0x048c9070, 0x25b27ff0, 0xc8b6d85b, 0x5cb311fb, 0xa23c8a7d,
+    0xb5ca69f8, 0x20027edb, 0x3c18e59d, 0x948c45d4, 0xe65156b2, 0xab745a27, 0x627ee560, 0xd1514ab3,
+    0xf634ced1, 0x70805434, 0xc56353aa, 0xaea5a199, 0xcec21f75, 0xc7682b52, 0x5763788b, 0xc7b574df,
+    0x22563b07, 0x1fe5588a, 0xbd3deed1, 0x0c13fbdc, 0x4dfeb5dc, 0x5d9e15be, 0x21386040, 0x85fca7ef,
+    0xf115453c, 0xeb0d7b55, 0x0ffa400f, 0x2993899f, 0xe4629931, 0xc4f1c6a5, 0xb769e3e3, 0x91c5c52f,
+    0x942aeb85, 0x6d11628b, 0x4f76a214, 0x7dab466d, 0xcb7c4cf8, 0x6cea2010, 0xf4c4fc30, 0xaa29973e,
+    0xfac4576d, 0x4ff564a4, 0xdbe692a3, 0x0457b3d2, 0x37ee6dd2, 0xd42f9994, 0xa4e33380, 0xf9eea78c,
+    0x00000000,
+    0x85eb0a19, 0x5f55b1d6, 0x8f9d1f12, 0x87ef4eea, 0xc2ce8332, 0x56404173, 0xd6a748db, 0x2aff1bd9,
+    0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000003227812347608635737069898965003764842912132\
+                         24103652939103832419567580952752105149328705669160017228929487896496593436672 */
+  { 0x00000000,
+    0xa638edbc, 0xe0f0846e, 0xeadcd654, 0xd4b3f3c5, 0xba50c240, 0x1b086c13, 0xe3a9d89f, 0x6326c861,
+    0xb3cafa36, 0x268a2cad, 0x5ee2d305, 0x78b79f18, 0xc9242a3f, 0x8bda5c87, 0x825375f2, 0x565815ed,
+    0x54d71af9, 0x54197529, 0x0a2c4834, 0x23214d7f, 0x2926e7a4, 0x34a6d95c, 0x197213aa, 0x79579e3e,
+    0xaee54585, 0xc13412fd, 0xf2b6d25f, 0x623a8969, 0x4ad82d0a, 0xf7d57ae3, 0x2bc5a663, 0x516d20fe,
+    0x549145ed, 0x967ac672, 0x55ef9168, 0x267b2250, 0xd099a67c, 0xa54a0a5d, 0x7bcf705b, 0x75e318ba,
+    0xf523a095, 0xb2a0ca5e, 0x84637878, 0xcbba0a52, 0x3d22c4ec, 0x3343054b, 0x7b3ca210, 0x176a4fe5,
+    0x48f96665, 0x539e90da, 0x28cef45f, 0x5b626a61, 0x2a421d9d, 0x06600e75, 0xbe03922e, 0xed479a28,
+    0x35528454, 0xfdce155d, 0x6970e71a, 0xc1f6bf8e, 0xdba909b9, 0x010251f5, 0xe9e298f3, 0x45ee1dd4,
+    0xeee6c380, 0x78f78fe1, 0x402aa52e, 0x3374b9d8, 0x53b7f978, 0xcecce050, 0x61218137, 0x9b5c2455,
+    0x7dd11dee, 0x79de0a2d, 0x2b6f7900, 0xa77fdc66, 0x44c35ca8, 0x542703cb, 0xef5644af, 0x227fc865,
+    0xc23a7eeb, 0x93900de9, 0xc7cfcbf5, 0xaf04b40d, 0x289106f7, 0xce82806d, 0x3a709eda, 0x1be073c5,
+    0x9984ee41, 0x251e8852, 0xf15a050a, 0xecd9706b, 0x7a10b7df, 0x515135b7, 0xb030ec19, 0xc9688333,
+    0xb3e9f260, 0x6aa4ac08, 0xc6340243, 0x302b8744, 0x5363d65f, 0x80425b75, 0x4fe91702, 0x3ada7de9,
+    0xb6f10fea, 0x9d04577a, 0xb331c84b, 0x20206ab1, 0x9ff5bc81, 0xc5b052b1, 0x67a2558d, 0xd44331bb,
+    0xacce5b0b, 0x34f9d683, 0xa343b3c1, 0x55f91519, 0x127af0d8, 0x0f44cde1, 0x9fa5bde1, 0x0a5863ec,
+    0xed291921, 0x1967601a, 0x505d6312, 0x503a3196, 0x9c688c16, 0x809b8ad2, 0x51bea670, 0xbe2256a9,
+    0x51aa5e92, 0xf3e31c5b, 0x23984c6f, 0xf91166b3, 0x18202a1a, 0x14305379, 0xb4c547ac, 0x76b5a687,
+    0x2370be1c, 0xb5421c90, 0x72a6001f, 0x0a15299f, 0x35569152, 0xd1b4651c, 0xbead492f, 0xfe6440ec,
+    0x10660315, 0x7c94e624, 0x0c785253, 0xd5d813b2, 0x056e07a0, 0x8435c2f7, 0xb126049a, 0x71132640,
+    0xa3bb00ea, 0x08498fa5, 0x0ffa76ee, 0xc57cb3f1, 0x3700e419, 0x83f5d1bd, 0x9d6cfd54, 0xc4d23406,
+    0x04834974, 0xa09f753c, 0x93e4fbd2, 0x50ec5ae5, 0x811a9c42, 0x7ff6e13b, 0x053b549a, 0xeb6f7e64,
+    0x95510670, 0x107cce9b, 0xd9ddeb0d, 0x1939a616, 0x7b8b5805, 0x8bf06fce, 0x99c64e8c, 0xf51c0580,
+    0xb03824e6, 0xc9dd1193, 0x28696156, 0xbb816320, 0x5e52fd2c, 0x132766fc, 0x5345dfb9, 0x9fb8e26d,
+    0x3937a6a5, 0x3c0a7f7c, 0x7dcae8f7, 0x5afb2219, 0x6924f7ee, 0x27c97a5c, 0x7dbd7bef, 0x6325b6f7,
+    0xf55f9236, 0xfd7601fb, 0x4ec9c021, 0xea7c5ced, 0xb7d40ed8, 0x10dc47db, 0xdbf892ea, 0x94925c0b,
+    0x6caffc7b, 0x352e1238, 0xf68c6ea1, 0xd33d66d2, 0xb9693ad2, 0xc418652d, 0x38c28c1a, 0x74a38c6b,
+    0x4400edd0, 0x77b5993a, 0xacf6674f, 0x495b9aec, 0x310cb4b5, 0x27374624, 0x32d76660, 0xd4bb3118,
+    0x10d4eec7, 0xd388b87f, 0x87ff5f80, 0x38c32b5f, 0xc65d5e9c, 0x77ac3099, 0xacd356e0, 0x4adda6f1,
+    0xd20e6d4c, 0x165fd5cb, 0x02b181cd, 0x4dd9571b, 0x93233253, 0xa5b04a81, 0x51a37ab7, 0x775750fd,
+    0xb4d936c1, 0xa74dc0e7, 0xaeffdab5, 0xfd538d6f, 0x68a48495, 0x81cbda85, 0xf2603746, 0x08889c48,
+    0xedbf19f1, 0x75101512, 0xf463885d, 0x41411a8a, 0x23facc48, 0x2598ea7f, 0x7e30b9e7, 0xd5012fe5,
+    0x905c4431, 0x0d2ff9ae, 0xa7099b6c, 0x68107045, 0x7e6b0c17, 0xd72955ae, 0xe1771b6f, 0x1981f177,
+    0xfe18aed5, 0xb122163e, 0x7fd56fc3, 0x6fb536a7, 0x1f67e017, 0x99c0f119, 0xb671b4a5, 0xb3cfe56f,
+    0xd883f3b0, 0x0751f15c, 0x95666658, 0xd0429b70, 0x71a115bc, 0xe1fba1ec, 0xe62f22da, 0xf868f5fe,
+    0xee5d2954, 0x546d9e75, 0xb6f10f59, 0x58ca064c, 0x9730d8ef, 0xa83a9bb1, 0xb8fd57ad, 0x83db1d47,
+    0x0da545fd, 0x0091c106, 0xcb2bcb68, 0xb3ce1fac, 0xcdb81586, 0x91507e7e, 0xcdb7de68, 0x4caba70e,
+    0x9368f40d, 0x2ede0ead, 0x2b6e667a, 0xcb67727e, 0x3e9cce8e, 0xfb082f8c, 0xfc621177, 0x3b6fd87f,
+    0x6ec0b2bb, 0xb13b824f, 0xd0ce1ddb, 0x74751d83, 0x4e7263f8, 0x708977bf, 0xcfdb6439, 0x9c08b8e0,
+    0xecc8d789, 0x601efde2, 0xe32a4f50, 0x0613e972, 0xf4e4adde, 0xe21ba7d5, 0xa2788242, 0x84153ff6,
+    0x5e764db0, 0x466417c4, 0x37145083, 0x14809007, 0x0f74f43a, 0x9742a233, 0x1ace64af, 0x3ecd9d94,
+    0x958b73d7, 0x621ae9e2, 0xe93ae60a, 0x40e32310, 0x2da49536, 0x93ec7628, 0xef5cd956, 0xa7f43f04,
+    0x0467db2d, 0x25402906, 0x2d1303ce, 0x3fc980ea, 0x945b6568, 0x407f45e2, 0x83f91e17, 0xd1c6012e,
+    0x27a07ee8, 0xc7c5f168, 0x2ace7b8b, 0xc4f30875, 0x0e9a983c, 0xebde17c6, 0x2b690f6a, 0x73885896,
+    0x9fb14205, 0x2d7ee551, 0x30b71981, 0xb1305f27, 0xdcc0524d, 0x84daae94, 0x248cff73, 0x439df33e,
+    0x0475554f, 0xe363ce16, 0xf6b55527, 0xce446c24, 0x0732c342, 0x3c42a135, 0x4b1919c1, 0xf16723fc,
+    0x718df28e, 0xd5aa3bff, 0x39856783, 0x1a33f50c, 0x1df8d04f, 0x7583fdf0, 0xe1335f4d, 0x1ad57760,
+    0xa1f3a84e, 0x87e7533f, 0x5ccbaecf, 0x3669cb0a, 0xcdb3a1ea, 0x6c8603b4, 0x044adaf9, 0xaacc074d,
+    0xca5bbb0a, 0x07d319ab, 0xa612f79f, 0x42c7819f, 0x0d356870, 0x777f3ee3, 0x19601d9e, 0x816aa0d1,
+    0xf0d53cd3, 0x6304b0a7, 0x382838b8, 0xb12b06bb, 0xc481ba2b, 0x032e5e80, 0x92a92e2c, 0xf5a5326e,
+    0x482211ab, 0xfb06362a, 0x43cd5083, 0x7b2b77b0, 0xd640a24e, 0x827dc6e1, 0x65ca5291, 0x732fa0c9,
+    0xe1e7e246, 0x593b3fef, 0x0c1bf17f, 0x5ba18b39, 0x8e2cb200, 0xa427bdc3, 0xa3cb774d, 0x0fc3eae8,
+    0x2d3e9cee, 0x34361046, 0x6c60ef42, 0xa2d71e0c, 0x3c855fe9, 0x99950bb9, 0x6c332a9e, 0x04ec60d8,
+    0xe6585fde, 0x02f47b89, 0x04113b85, 0x2351f824, 0x01bda8f1, 0x3b760d40, 0x08e2ddfd, 0x564d2705,
+    0x23e93e06, 0x250901c1, 0x12be7ddc, 0xee3c085b, 0xc3196f0e, 0xdce26310, 0xc072e605, 0xb21a299d,
+    0xe81c8ff1, 0x24042375, 0x331b5cd7, 0x1cd69fc6, 0x66422b6d, 0x4f1ad4d7, 0x667867c2, 0x3895f1e0,
+    0x08e83e5d, 0x78e33a87, 0x20917ba8, 0x1c909790, 0xe5eb925a, 0x16510ab0, 0xe4975a1b, 0x74bbf320,
+    0x189deb07, 0xffe067a0, 0x6be0211b, 0x58e7ddd3, 0xc72a8b0d, 0x451c4458, 0x0ad2f0db, 0xbe8850b5,
+    0x357be902, 0xe8d10fb5, 0x06108df1, 0x66950dad, 0x9ae6c208, 0x78d11c93, 0xfd1244c8, 0x96e50f49,
+    0xdf9bf789, 0x8b37c39b, 0x8c78b910, 0xc56ab630, 0x82a7552b, 0xc2c0dc33, 0x96086c88, 0xff76ce8c,
+    0xbd80ba6b, 0xf8f5d4c8, 0x90efa8a1, 0x09f3cb52, 0xd57a8d53, 0x0675feca, 0x73ae46e7, 0xac7ef787,
+    0x525fa1a9, 0xd168494d, 0xb24b2d31, 0xa635a521, 0x26a393ff, 0xeb56b57c, 0x84e5168e, 0x80036132,
+    0x65db3d8e, 0x410d9b2f, 0x330644ee, 0x87d009e6, 0x8b4041de, 0x75e509c1, 0x08586bf8, 0x2b3173f1,
+    0xbb247d81, 0xd7f0057e, 0xbe406694, 0x80dba885, 0xb92f2f6d, 0x66923e05, 0xe57dd6b9, 0x6834da81,
+    0x81563aad, 0xfa5eeb9b, 0x99be1174, 0x2e77c599, 0x95c92263, 0xdb5d088b, 0xf975b7f9, 0xfbd9727d,
+    0x4f051b1e, 0x4f76ecac, 0x976ed9e1, 0x7111b7c5, 0x897ab25a, 0x69dcb189, 0xef6dc14b, 0x555e5254,
+    0xbd15958e, 0x4be67fc4, 0x4e726ddb, 0xf3c015ce, 0x4f7988c8, 0xf3b55406, 0x741f132f, 0xd3b4db53,
+    0x0ebe778c, 0x3d75ea32, 0xdb4f5743, 0x172bbb21, 0x5574ab4f, 0x3adaa265, 0xe935499b, 0x34283379,
+    0x40fb29c8, 0xfd6bb788, 0xd33595a4, 0x10fba64d, 0xcb56c054, 0xb014d31b, 0x8d379b23, 0xeb00f4bf,
+    0xc71d20af, 0x50fe3286, 0x9b566e61, 0x690070a9, 0x00089758, 0xf0c301b8, 0x61e47560, 0x40ee0159,
+    0x1f37dcc6, 0x79d3b470, 0x0ac57035, 0x15f26892, 0x84253691, 0x9f6e2ea1, 0x451c3cf9, 0x58fe887c,
+    0x4687e804, 0x81de053c, 0x964d4d1e, 0x3a5ee558, 0x2603d53c, 0xd326867c, 0xcbf91bb1, 0x850d93e8,
+    0xbcfea1fb, 0xb32822a7, 0x098ab37f, 0xc28c80a8, 0x1b9c4150, 0xf8fe3216, 0xc2bb09e1, 0x4202512d,
+    0xe24380de, 0xe2288c49, 0x49454fb3, 0x281ff296, 0x9a365b16, 0xeb96112b, 0x6e47e1b4, 0x91fdb39a,
+    0xd0a4811e, 0x4e54a0bd, 0xf86ae395, 0x0871c204, 0x98252731, 0x5881b297, 0x0fc98a5e, 0x14de6a9b,
+    0x7a225603, 0x4a71246e, 0x4c157a86, 0x1e0ba632, 0x05227c8f, 0xc39fe374, 0x087b0620, 0xbc378214,
+    0x09677622, 0xcca9305d, 0x6726f4da, 0xd01085d7, 0x575a1ef0, 0xfcae6b6f, 0xae9100df, 0x9604b218,
+    0x1556fed3, 0x0028cf77, 0x076f1bd2, 0xe9dfb38f, 0x63a46067, 0x8ee0df4c, 0xbfb31873, 0xa4e0c942,
+    0xec649aa0, 0x7e0aa1e6, 0x74616d15, 0xcb82ee7f, 0x31c82ef8, 0x3d7651b1, 0x25b40085, 0xb13e0a35,
+    0xee15fcc9, 0x6d742c71, 0x991febe6, 0x7bd0958b, 0xe653e01b, 0x07e94a66, 0xc0c3b013, 0xdce703f0,
+    0x2a3de062, 0xf573dabe, 0x922c926a, 0x2b4429e7, 0xf594a786, 0x846d47ff, 0x7d6d3412, 0x78d04fc4,
+    0x7f5c1426, 0xf6af15da, 0x14f775b8, 0x9c7176f1, 0xee6ec434, 0xd26b8d28, 0x431ee59f, 0x53affb48,
+    0xd5c9b810, 0x508f0708, 0x02d8e803, 0x72770e21, 0xdd01cc17, 0x3ca2cdd7, 0xee005f63, 0xc3cadda4,
+    0xbfa1883f, 0xc76a6e22, 0x48a10f01, 0x738d8e19, 0x989a7047, 0x89d59304, 0xfdfc6171, 0xb2f40f43,
+    0x448dc8fc, 0x2d56f59f, 0xbad2591f, 0x7f8cf50f, 0x644115af, 0x7804f19a, 0xb95c8a8b, 0xdca7b851,
+    0x0e7ee888, 0xfb43c243, 0x048d5ab4, 0x74a8e40b, 0xf2757019, 0xa921cbcc, 0xdd0b9293, 0x01cd61cd,
+    0x91975b77, 0x9ea4dd4a, 0x25f770ba, 0x88d8971a, 0x025c211d, 0x805c1ca7, 0x5376ea5f, 0x174af6f6,
+    0x26f8c6ca, 0xce1cbbe1, 0x60bcf62a, 0x319951cb, 0xe3d3848f, 0x829afbfb, 0x2105598c, 0x52138259,
+    0xf52e3f5b, 0xea657c8a, 0xb3720e10, 0x8593c168, 0x701ec549, 0x9ab4a812, 0xa5e796c1, 0x3b79da8b,
+    0xc5a44e55, 0x3f56b454, 0x27e0549f, 0x9db7c342, 0xb077f6df, 0xcc8ef2e4, 0x5c8fb128, 0xab6f0b27,
+    0x3f52ac52, 0xaaf9aa7f, 0x87431534, 0x2e2a83ba, 0x76fce794, 0xfd5a05d7, 0xc0cdf4e9, 0xa2316953,
+    0x58ffed15, 0x1582879d, 0xce4cfc6c, 0x6ebf99f2, 0xc11e25d2, 0x9b702bd7, 0x3993bf1f, 0xda278a15,
+    0x8708641f, 0xb1ea75dd, 0x78474691, 0x7c723ec4, 0x97d38627, 0x54c3b043, 0x7cda67fa, 0x4c041949,
+    0x7bd5e7f0, 0x2a631689, 0xfe5969e3, 0x42da53e1, 0x81aa4251, 0xba8c6075, 0x4aa2819a, 0x4cebb8bd,
+    0xf274d6cb, 0x8c9755ab, 0x1a5af539, 0x1b4dfa03, 0xbc92f15d, 0x84ea5872, 0x9bd0845b, 0x663c99f7,
+    0xc0abb01d, 0x077fedac, 0xbf18c26c, 0x5d1b370c, 0x7508e9d3, 0x9aae7809, 0xdd2f3d2b, 0x6cd95b49,
+    0xc4983ed3, 0xd9957f7b, 0xa01d2204, 0xaccc4077, 0x89e621cc, 0xbc5b75bc, 0x5002ac54, 0x0ea8d67f,
+    0x3120fea9, 0x7832f8a6, 0x30a99522, 0x4db1785a, 0x3fd2ad42, 0xd031f652, 0xd7fa4d93, 0x8ea85f2f,
+    0xb459b61d, 0x07003fab, 0x898121d6, 0x9125ee33, 0x5a9537a5, 0xb9b74abf, 0x07fe692c, 0x6b036086,
+    0x47b3de9d, 0xf774e3e2, 0x2a830cb8, 0x48cc5f3c, 0xd3e566ee, 0xf54acfe9, 0x20f8d0cd, 0x562c2afd,
+    0x23f8ed10, 0x0f26fb1d, 0x05daeda3, 0xbdc8eab7, 0xaced8c91, 0x8fc7a563, 0x1ff897f8, 0x757f078e,
+    0xf5029e12, 0x091b9104, 0x9b9ce081, 0xa5a81074, 0x48c1092e, 0x6783766c, 0xe369f2ea, 0xd16bf110,
+    0xf368dc51, 0x72770f55, 0xf89aa0c4, 0x8d4d4d2a, 0x643c233a, 0xa8ca9f63, 0x0ddbebcb, 0x728e5452,
+    0x7f61d6bb, 0xb37ab083, 0x2d35e30a, 0x80ddbb7d, 0x0d8224b0, 0x19e7da49, 0x3b5f71ba, 0x340eca7a,
+    0x5808ed32, 0x636ac427, 0x2aefc07d, 0xef4c8da3, 0xa9864c4a, 0x31c3c453, 0xc5b7a3c4, 0xca4fb89d,
+    0x3ec52aa2, 0xc3ad7be6, 0x1be654cd, 0x39e4d7b7, 0x680775cb, 0x5c35c833, 0x5407c7b1, 0x1dc3c65c,
+    0x17ee93dc, 0xd3f882e3, 0xc82f8f88, 0x9ede73ac, 0x7b7f9eac, 0xe74e330e, 0xa7d66e1c, 0xb2e7426a,
+    0x65d12e9e, 0x838a0205, 0xabac0321, 0x217b945b, 0xd59510c4, 0x0af059a1, 0xac0fe241, 0xbe847047,
+    0xcc71e023, 0x5ef20859, 0xece278b8, 0xbd53c234, 0x9597d333, 0x2440ed03, 0xc741c76b, 0xc95419ce,
+    0x877d3ece, 0xf3f8c339, 0x021c6cb3, 0x48e83dc6, 0xa321c375, 0xca8f5bb5, 0x1bc341e4, 0xf4967b72,
+    0x66219a77, 0x45b8022e, 0x9125dc9b, 0xa29be2e1, 0xc48bee4d, 0xa12ef02e, 0x48dd37e8, 0x5f5ad692,
+    0xd569f18e, 0xd08ec896, 0x101591fb, 0xd9bccded, 0x75518b1e, 0x2501b44f, 0xd2abe451, 0x7a3f7788,
+    0x6f1f0e39, 0xac42bc26, 0x3048ce4d, 0x39c5fa36, 0x0099a050, 0x452f2e7a, 0xf0c419f3, 0x803b21ff,
+    0x7decef69, 0x505b1a74, 0xc886eebf, 0xc2abcbe0, 0xb277a13b, 0x435e1d10, 0x560f4479, 0x0e36479e,
+    0xe01868b1, 0x4a45144a, 0xd359faf6, 0x3ff92025, 0x8db80144, 0xc4b4ac82, 0xf9bd2291, 0x12ca5e4c,
+    0x84e20abb, 0xaeaa10bd, 0x094ebea0, 0x0bd7b363, 0x5c992177, 0xfed0947e, 0x014798b8, 0x68f1f309,
+    0x375fa27a, 0x393e425c, 0x152cf6a3, 0x8e5f5c86, 0x59ce651d, 0x3ec50cc0, 0x2e29a769, 0xfd8ca351,
+    0x18da6b50, 0xb75082b0, 0x9eeade04, 0xdcb8513d, 0x2e547681, 0x8d6975e9, 0xe6b07229, 0x17c0a191,
+    0x1a2bb8c1, 0x04008d1f, 0xa7c20e5e, 0x0f6eccef, 0xbb44ba43, 0x75250373, 0xba26132c, 0x847cf4e7,
+    0x7b2b8f86, 0x12a02eab, 0x4a3b9b36, 0xa443e0d0, 0xe0eba646, 0x3b5ac9a4, 0x4cbdb323, 0x83395abc,
+    0x8c7d6d28, 0xce6085b1, 0x10ea89b8, 0x55b81df1, 0xf836320a, 0x42951ce3, 0xbdd0f214, 0xed153499,
+    0x3e08927a, 0xf3d3a0c8, 0xdc172c1b, 0x372abd1c, 0x9a1b2f2c, 0xf61a9a48, 0xa92c1999, 0x28bdb8b7,
+    0x1a387ebe, 0x909c4f48, 0x1cff02d4, 0x2470116b, 0x8fac430b, 0x8db80cb1, 0xed91dd85, 0xafb675cd,
+    0x975be404, 0x5b1ec86e, 0xee7776dc, 0x40b6668c, 0xb3f3d1b8, 0x9b3e0cfe, 0x9e33cde4, 0x9ac6f4d7,
+    0xfb8bdd37, 0x0041cd4e, 0x59a27ca9, 0xfed8a400, 0x59bb458a, 0xb96bbb82, 0x8cc6b272, 0x7106ece5,
+    0x1dae955a, 0x80d42d76, 0x38b184f0, 0x2fad634e, 0xfbac37ba, 0x422c70a8, 0x6eea0df7, 0x2fdb05ff,
+    0x1e7fae76, 0x024b6067, 0xc5a98fe1, 0x416b9190, 0x852ccd53, 0xd1d8336e, 0x6a793e19, 0xb2dc774e,
+    0x00000000,
+    0x42f5850c, 0x2faad8eb, 0x47ce8f89, 0x43f7a775, 0xe1674199, 0xab2020b9, 0xeb53a46d, 0x157f8dec,
+    0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000001613906173804317868534949482501882421456066\
+                         12051826469551916209783790476376052574664352834580008614464743948248296718336 */
+  { 0x00000000,
+    0x2a803923, 0xc9add289, 0x0dcd93d6, 0xd0a9f538, 0x5261f8f4, 0x51bd1b30, 0xa1ff7834, 0x87c09bb8,
+    0xd8569603, 0x9ef293d4, 0xa69cadcb, 0x1eed7451, 0xe4ae9c6d, 0x57c72dfa, 0x3aa3d642, 0x62f87eae,
+    0x8f273f61, 0x846f6142, 0x6411c984, 0xeb0d1507, 0x79e5102d, 0x992b826e, 0x31da10c6, 0x09c27db7,
+    0xde07d560, 0xb9cdb1b4, 0xd797f506, 0x6c1c8e8e, 0x4a1b7c51, 0x76fe19dc, 0xe6e1eaf8, 0x576cbc90,
+    0x1e00837a, 0x5d8f2ec8, 0x82adad13, 0x974e3589, 0xbe7dbc49, 0xfb0815c0, 0x09918f5f, 0x2dacb41d,
+    0xa7b1c8a2, 0x47eb5c46, 0xab87cef1, 0xfa9235a5, 0x0a73524c, 0x6f29a5e7, 0x3a35450e, 0x15d85f7f,
+    0x79d13d54, 0xf3c8ed82, 0x57229b67, 0xfb64c619, 0x88cb17ef, 0x448817fc, 0x5085e9f2, 0xadf8daed,
+    0x2463e783, 0x1f1cdd00, 0x399a593f, 0xe2c90848, 0x3864ed78, 0x03c0a1c2, 0x4685e3e8, 0xc15a6817,
+    0xd16e9ce4, 0x124ad5e8, 0x66b9a30b, 0x34652f60, 0x40e76d7d, 0xbcc3c14c, 0xfae63d15, 0x9ee2cb42,
+    0xd8773689, 0x5e4b5434, 0x40339ddd, 0xcfe32c5e, 0x12277e76, 0x66ec4383, 0x46e1d53d, 0x110c76ff,
+    0x3c72644e, 0xd52bd2e4, 0xe1e8a054, 0x9e366cdd, 0x1723ef58, 0xebe05620, 0x5f552ccd, 0x16a19d4f,
+    0xd96edf81, 0xd4a1870b, 0x44e90bf1, 0x88763149, 0xc7a99292, 0xbd487c46, 0x6e754768, 0x9218efa4,
+    0x930b381a, 0x07eef33c, 0xd9e49ef8, 0xa70ceb93, 0xacdf0ce3, 0x88482a20, 0x8bfcd893, 0x436a3231,
+    0x29c35fad, 0x0e0b72b7, 0x86477dd4, 0x75125385, 0xa1c5a1f6, 0x9d28be87, 0x73f22032, 0x51c29f23,
+    0x754970bb, 0x35d22ec7, 0x09ae491d, 0xfccf4dd0, 0xe8baec07, 0x3320ab71, 0x7204003a, 0x29f9caac,
+    0x293a543c, 0x2195129d, 0x62fc8e18, 0x9dec1910, 0x9a52418a, 0x93371bf0, 0x28d1402b, 0x4e51f76a,
+    0xe1047553, 0x167d0c80, 0xb898d02a, 0x811bcd8e, 0x89798ba5, 0x9e0f06c2, 0x2b26590a, 0x6a301b56,
+    0xa5c45cdb, 0x10710ac5, 0x93aa9e77, 0x40772159, 0xb94fcdde, 0xff7aeee8, 0xf6d53897, 0x573b624b,
+    0x441554f9, 0x20ceb6e6, 0x5072b24c, 0xdfa7fb91, 0x12f86792, 0x37d18939, 0xd5ec08b6, 0x6425f8e3,
+    0x2b7ab1fb, 0xa6fec35a, 0xfa6cde21, 0x2bf0d2bc, 0x4b21f7ff, 0xbd719268, 0xde47ce69, 0x4c5374c9,
+    0x31320613, 0x3be8f7db, 0x53d0d2b6, 0xb1d1015b, 0x94bcf563, 0x42f2522f, 0x01e57a77, 0xd44f11e1,
+    0xd58ed135, 0xee574424, 0x2aa50cdc, 0xb86c8c34, 0xe2aeeca1, 0x29e8db38, 0xa9278e86, 0xb358cde4,
+    0x7a581283, 0xd0423473, 0x6b4c8dbf, 0xd47cc586, 0x71778c02, 0x3c1abd1c, 0xa3516d4a, 0x02bb9ff4,
+    0xf55f5ccc, 0xea735a37, 0x3f168eed, 0x2c7596f1, 0xd72e2c77, 0x5e8cee08, 0xfaef00e1, 0xb8056dbe,
+    0x86da3f86, 0xbdce68a4, 0x7397caaf, 0xaf5f9b98, 0x1c0acc2c, 0x95b4b12a, 0xb2e1a2d1, 0x227d2edf,
+    0x0ce27aba, 0x2648c90a, 0x0b4756d7, 0x925e70ec, 0x703fc123, 0x4f5978f8, 0x7538b5f9, 0x3e6a9f0f,
+    0x67b15173, 0x36ee2973, 0x4feeee60, 0xec15f12a, 0xb94f65e2, 0xb8ea7499, 0x0e002130, 0x3539af11,
+    0xd20e1047, 0x0e16ecb7, 0x7ab70fd6, 0x69788576, 0x17d2fe4c, 0x84c0ad73, 0x04d3863e, 0x22948a19,
+    0x03b22b43, 0x19d171d4, 0xc69a07a1, 0x06058109, 0x3fd50f3b, 0x29cb420f, 0xa270c900, 0xc9a7092d,
+    0x2c98b7d1, 0x75298781, 0x220020df, 0x83f2d8eb, 0xa4b061fe, 0xba468b15, 0x19121844, 0xd2e9ac5e,
+    0x56c169ac, 0x11f3e79e, 0xc3989b6d, 0xfd2da94a, 0x676ddaa5, 0x1707eaa8, 0xadc17ced, 0xa15cfc8b,
+    0x0bec0f27, 0xcf05f025, 0xda037df6, 0xd7bdc984, 0x06ca5d88, 0x4afc86b1, 0xcf4eb226, 0xe2f13aaf,
+    0x3c1caff8, 0x87e6f0ab, 0x26dab8b9, 0x0a5aadae, 0x48702ec8, 0xe951bc45, 0xd84ffeb0, 0x6db59236,
+    0x9d1c4e75, 0x77177a0b, 0x87fbbaba, 0x6410d903, 0x2cf319c5, 0xc2412583, 0x57039b37, 0xfd4b1fe4,
+    0x5304aa89, 0x539f532d, 0xa8114fb5, 0xa67635c9, 0x2d3c609c, 0x7025f0b9, 0x6fab8956, 0x67472167,
+    0x14670e64, 0x8c85e43b, 0x85e8b14e, 0xea6e8fb8, 0x57191d17, 0x51255fb9, 0x36b9a615, 0xc6bf7a76,
+    0xdc3764a4, 0xd1c30206, 0xa6e4a219, 0xe4eafdfe, 0x94fc246d, 0x2bfd833e, 0x24404f41, 0x4b968fca,
+    0x40f713cb, 0x1b859642, 0x222a20e3, 0x7f1a1f3d, 0xdb64745e, 0xcc604788, 0x43803d2f, 0x11f3e161,
+    0x5107cc28, 0xcaa08378, 0xfeda34fb, 0xe7e9c145, 0x36a87931, 0x35af0fa3, 0x28757f58, 0x1df6007d,
+    0x83b0486b, 0xcfb2a495, 0x8edaf68c, 0x49bf78d0, 0x94fbec58, 0x9337fe6c, 0xe2c1900d, 0x672f5510,
+    0x72f562f6, 0x7cf73251, 0x4405dccf, 0x380abc0c, 0x5dd87bc0, 0x5e3a5625, 0xeb12818b, 0xd4515bc0,
+    0x1fe72ae2, 0x6b5caa5f, 0x85bcc455, 0x4f9fd94e, 0x8feb1714, 0x16757610, 0xd033950d, 0xd25bfc19,
+    0x069c0d14, 0x707e76c5, 0x359d9487, 0xf08a6027, 0x769812f5, 0xbaaf8236, 0x2d1de366, 0xdeda1d00,
+    0x48e22a90, 0xcb5bd15c, 0x08389361, 0x47f4dbfc, 0x896e3a10, 0x3331f9af, 0x0f50605d, 0xde7a9b26,
+    0xe1a9e6d2, 0x3349cdd5, 0xaf70c724, 0xcbc5bc9d, 0x60cb4c9e, 0xcd9837f6, 0xc34f9a2f, 0xebdc9e90,
+    0x5754b839, 0xdb4d6c25, 0xab695572, 0x6b0967a1, 0x04e0d468, 0x825b7c39, 0x33fd29d1, 0x357d1452,
+    0x2698af20, 0x1e766e9b, 0xe2290974, 0x92ca5989, 0xe2bec6bb, 0xc34ead0f, 0x31bd72e2, 0xcfe6486f,
+    0xa8fe3d52, 0xdf7e7f68, 0x5f34df6e, 0x6d97e07f, 0x9fedf0ab, 0xa8277939, 0xdc4d77b9, 0xee0ce0b1,
+    0x279876a0, 0xd433dc34, 0x5b1127be, 0x8ed0357e, 0x1ddff265, 0xed3090e4, 0x9c12ea73, 0x01f9c904,
+    0x62f46448, 0x00a1cf32, 0xe662bc95, 0xb42a8170, 0x5fd4c5c9, 0x88944887, 0x84bd3f73, 0x5b92bd33,
+    0xdb09b26e, 0xa3ab89c7, 0xb2849a59, 0x7b59de4e, 0xa2f222f8, 0xb82343c0, 0x3d5af9a0, 0xabede854,
+    0xfd608346, 0x98e4bd2e, 0x101294f3, 0x03fbbd0d, 0xa1affb78, 0xb717fc56, 0xebd241d0, 0x28514bc9,
+    0x78822f11, 0x211d9279, 0x428506d9, 0x869021d6, 0x36e5cfb1, 0xfe08866b, 0xd2a675b6, 0x95d868d9,
+    0x63196282, 0x9c41c505, 0x8d5de99a, 0x24a2269c, 0x3a0632f0, 0xba661f36, 0xf5e41ae8, 0x16fe248e,
+    0xeccf9abb, 0xa2db5986, 0x57fe4576, 0xed906ba0, 0x76d4eb78, 0xda9d193c, 0x99adef28, 0xda074f97,
+    0xc4d016aa, 0xb620a90f, 0x9f144aee, 0x004b3762, 0x43956a5e, 0xfecf07ef, 0x8b70a960, 0x92f769cc,
+    0x23f1912b, 0x033a547d, 0x1bdf6012, 0x9f50b366, 0xed685718, 0x936cf23d, 0x4c221b67, 0x63e43d32,
+    0x14d3f447, 0xb6c2be4b, 0x1ff30f27, 0xdc5cc125, 0xd62a7823, 0xd653772a, 0xeeb586b8, 0xa82dd829,
+    0x6ccc1453, 0x4b073be9, 0x6bcf2ff2, 0x9d1caa80, 0x869c4b9f, 0xb7e75204, 0x7138877b, 0xe1376cc6,
+    0xaeff404d, 0xe1b70efa, 0xd0e603cd, 0x15ae6715, 0x5f4ecb52, 0x9fa4aafc, 0xfc33a9ee, 0x28155fa3,
+    0xf1260440, 0x9b8471c7, 0xff9929fe, 0x78749387, 0xeb5546f4, 0x563d97d2, 0x03b99e2d, 0xb1da1e6a,
+    0xa454f730, 0x7cd0a572, 0xe0e67451, 0xdc2b32eb, 0x977aa1b2, 0x2e4e0fa0, 0xa0024fcb, 0x11c5f034,
+    0x45f33ab7, 0x24022826, 0x11c84a5a, 0x8beb1f7c, 0x0b2ef338, 0x8723f74d, 0x4c1a3d85, 0x697a22fc,
+    0xe5e7ebe6, 0xf0924f33, 0x862952f9, 0x6539834f, 0x6de1c5bf, 0x03c3b9d8, 0x24cd0c12, 0x2c5ac61a,
+    0x5f5cbe95, 0x70fa5781, 0xec40388f, 0xe7eedf8a, 0xac9c3097, 0x0e169642, 0x9c0cafeb, 0x6cdade67,
+    0xb39b50b8, 0x33e9be95, 0x11738362, 0x8cd8ffa1, 0x50db5e68, 0x78d6e20d, 0x1df2dd53, 0x920099e9,
+    0x0787f5e2, 0x6aae2622, 0x350eed4b, 0x854dafea, 0x27b2dedf, 0x4a07fe0d, 0xc42ce267, 0x0adabdab,
+    0xc7fa4b72, 0x7eb59b9f, 0x0e067398, 0xad577f2d, 0xc901d756, 0xf93acfc3, 0x70a27490, 0xb403e09d,
+    0x11b981cb, 0x1059eafb, 0x7e3e1213, 0x5d864321, 0x013f0142, 0x58f527ff, 0xee7d25b3, 0xd9c4626d,
+    0x08b9cdb7, 0x9ec0ca1d, 0x39298698, 0x17bbdec3, 0x5a007c7b, 0x35e7c7ff, 0x3acd8eb7, 0xbaaa9476,
+    0xbc1274b0, 0xf6f27e51, 0x72016b3d, 0x331d925c, 0xa21f20ce, 0xaceaad52, 0x17eeae15, 0x5032b7a4,
+    0xccb0d2e2, 0xa0a8da5f, 0x484b8307, 0x4b57bbe1, 0xdc6d005d, 0xd92c00be, 0x4a1108ac, 0xe6ae8769,
+    0xe33d3cfc, 0x092e064b, 0x0a8cda25, 0x9ba67dd3, 0x4c42b6cf, 0xdf6ef883, 0xdd20eaf0, 0xdc62be1f,
+    0x9b151f6b, 0xb6ac8641, 0x6954dce8, 0xe1330f80, 0xf94d3072, 0xa07d09bb, 0x285700a0, 0x63d2aed8,
+    0x220d4043, 0x6b5d5e74, 0xe77ef7d9, 0x5d3fb19f, 0x9347b103, 0xff1ab1a3, 0xbd905d0b, 0x368fbe05,
+    0x08d8261b, 0x4954eeb7, 0x17bd7d88, 0x33ec0f62, 0x5d1e211c, 0x5d035e93, 0x2f74c2ca, 0x27980ffa,
+    0x2a27ca1a, 0x5289be35, 0x2feb6ab3, 0x7475545c, 0x8fa75e9c, 0x6c12fe78, 0x2d9cb908, 0xe5cbcfc9,
+    0xb011928e, 0xef73e810, 0x8cc2fbc2, 0x437ecbee, 0xf36155cb, 0x38e96c72, 0x0a04c615, 0x30184b59,
+    0xc66a4599, 0xe1c3d06b, 0x41d39b02, 0xf4a79f86, 0x68397ec6, 0xb6f8bcfd, 0x549afe72, 0x84088eb7,
+    0xa2e37b94, 0x8d73561a, 0x8ed5b8bb, 0x129d4ecf, 0xc73b8cee, 0x732d21f1, 0xd03ad17d, 0x0092be5b,
+    0xa2ec475d, 0xad776964, 0xb970224f, 0x8587d64c, 0x560a8cd5, 0xa818aaad, 0xf5d7a549, 0xef1ea24d,
+    0xbb7a362e, 0xdce2a17c, 0x362cbed2, 0xe648fca2, 0x3f51ec90, 0x79a06fa2, 0xe921ce2b, 0x65798fd8,
+    0x2b3569fc, 0x3c96cbd7, 0x3ade45eb, 0x0253a237, 0x6677250f, 0x27110cdc, 0xb5327f8e, 0x6db0a3f3,
+    0xbddb310b, 0x2c84ec69, 0xa624b284, 0xa8095539, 0xac9f10fd, 0x09242f3c, 0x137555c9, 0xa10f493d,
+    0xe968a4e8, 0xfca8784f, 0xcaaf7f79, 0xd6a37ec3, 0x9e75114d, 0xbadd28ff, 0x69e53a65, 0x79dc9e28,
+    0x9a84d707, 0x84d9fad6, 0xf1402853, 0xc8a80a12, 0x45c326cb, 0xf9fdab26, 0x8879ca03, 0x4c8d75c1,
+    0x7f662e55, 0xb5380632, 0x8f236467, 0x29510d8d, 0x45d6d843, 0x1fea9a11, 0xc0048d54, 0x5324dfb5,
+    0xdb698df9, 0x3d38ea72, 0x43ccd549, 0x3a6bac53, 0x3ca1b0a3, 0xd08c3d46, 0x8bc1549a, 0x840282ff,
+    0x74247ed1, 0x6ff1506e, 0x6ad4e47e, 0xfb1577cf, 0xe67680f8, 0x2aea3ef3, 0x7c0f39b8, 0x9ecb3512,
+    0x616f38c9, 0x6918b434, 0x99536e65, 0xbd47b328, 0xfb72b582, 0xf00f8746, 0x8ea9da6a, 0x6f274f13,
+    0x061caff4, 0xea9f962d, 0x15cdf614, 0xaaf5a03e, 0x95c0bf87, 0x939de66b, 0x8fe0214a, 0xbe5e653e,
+    0x811f9896, 0x8240477a, 0x23c0e112, 0xc1069528, 0x68cd1fdd, 0xc617daea, 0x443a4b61, 0x6aa95a91,
+    0x8f387038, 0x9d66e68e, 0xf42b9a78, 0x07870d45, 0x1d1ccadc, 0xc0f41d2e, 0xbd35d358, 0x5c7b611c,
+    0x5c220926, 0x3c309e3a, 0x89e9f2e5, 0x4169ee61, 0x47c3f942, 0xe70f197c, 0x0422593a, 0x553f5ee4,
+    0x2909ca25, 0xa23ad238, 0xa85fa901, 0x8bc9e313, 0x32d74805, 0x046ee1f1, 0x3257f31d, 0x92e00b24,
+    0xbfc8588f, 0x0b51d4bc, 0xf0e0e75b, 0xcf4c8348, 0x7b837e5c, 0x96344c17, 0x5ac31705, 0xb4d8ee24,
+    0x5b11c859, 0xd564adf9, 0x7e4efe31, 0xc7d0f089, 0xa839e950, 0x5a956616, 0x689730ff, 0x9cfe1a34,
+    0x79b1e441, 0xb55027aa, 0x641ebec5, 0x610e4464, 0x76f1cd6c, 0xf24d4866, 0x8fbdf449, 0x3af65711,
+    0x965ec082, 0x216e5496, 0x01d5d618, 0x7758a663, 0xafb84d33, 0x5df98c8f, 0xfca674f9, 0xc9627f29,
+    0x351413d2, 0x000cebd9, 0xc514ca30, 0x173d0092, 0x4d5850f1, 0x3a7ea0a7, 0x659ba795, 0x334f1d2b,
+    0x11a4e065, 0x3219b934, 0x11c24ca1, 0x3124b633, 0x4252fe53, 0xf9cc7236, 0xf21f7a80, 0x3ace176d,
+    0xb2160d19, 0xe68043a2, 0x913487b8, 0xbdbb1724, 0x9a1e5121, 0x49a19d4c, 0x06b1052d, 0xbd7b281a,
+    0x76c3dcca, 0x4b685170, 0x2f1fbfe6, 0x66ba5b9d, 0x065696ac, 0xfa29644c, 0xd9bc0498, 0xf679fda7,
+    0xcd883490, 0xf0a2c210, 0xe80fb94a, 0x20e1a9d6, 0x888baadb, 0xe977b881, 0x4f3cab05, 0x5726150e,
+    0xfba4953e, 0x50201052, 0xb496086d, 0xf67f4677, 0x8c447159, 0x1e49905c, 0xf6ba1fcb, 0xf8a83d5b,
+    0xc8ef0e34, 0xad3f2988, 0x88c7d842, 0x05b47d9f, 0x32b39820, 0xb0a7f2b4, 0x8b312f95, 0x27d41671,
+    0x015e605b, 0xc9388aca, 0x1b89a54c, 0x721a8d2f, 0x565d5cd9, 0x848ea3fc, 0x810168db, 0xedfbc2dd,
+    0x382a000c, 0x2c0007bd, 0x9d6e8f5c, 0x1c07a880, 0x24cf8947, 0x597a68ec, 0x05067bef, 0x29c5470e,
+    0xf72fe60d, 0x754eebed, 0xd18cc5fa, 0x31e31f13, 0x4718f953, 0x81fdf6d0, 0x796b7c1e, 0x1661f8f9,
+    0x9f810844, 0xb0ff7a84, 0x2bb9beb5, 0x3c70ecb8, 0xcc5df13c, 0x88b8907f, 0x8fb50c84, 0x615d8989,
+    0xca409225, 0x9cff6f66, 0xdc28d521, 0x6bb72749, 0x0d83b05b, 0x1c1b17b6, 0xc5caa9e4, 0x25e95666,
+    0x68d94887, 0x80a910f4, 0xbd58b0c5, 0x1aeeeef6, 0x5bfad564, 0x29e8537d, 0xb1e945c0, 0xe61c61da,
+    0xb0197f39, 0x3b4a7978, 0x55d94bd7, 0x08db1f31, 0x890ab0d4, 0xf988a1c4, 0xa7a6ec32, 0x096a1c5a,
+    0xe4e71f71, 0x4f7ba092, 0x5f0ea655, 0xdb2cd5ad, 0x6140d384, 0x72bd7085, 0xb86827e0, 0x8c8a79b7,
+    0x25879206, 0x602e2c43, 0x3870962c, 0x4e0033b5, 0xb9cdcfda, 0x9736df6b, 0x543d954d, 0xe525562b,
+    0xe9c420a5, 0x9e2e0cb0, 0x5fdcc94a, 0x6d93d0b3, 0xa039acaf, 0x9eb2b466, 0xebefb8c5, 0x9bbcc8cb,
+    0xd1259d9a, 0x636265fe, 0x079fb9e6, 0xc2e98caf, 0xc8b4b5ae, 0x00daffb6, 0x098a3715, 0x08eed24d,
+    0xabff1f56, 0x0ee334bc, 0xf89fb85c, 0x972ed501, 0x1b438341, 0x0824e929, 0xf2dfc03a, 0xf3c47e1f,
+    0x62345e15, 0x381e6d95, 0xfd4e23fd, 0xad9be4a5, 0x66690567, 0x4e0ccfe0, 0xd3dd71b7, 0xf739d9a2,
+    0xc8e849f9, 0xbbec2b3e, 0x2f330551, 0x3d86f202, 0x68cc17bb, 0xfe51d7b6, 0xa76764e2, 0x666b24fc,
+    0x247e0523, 0x3e77d7e5, 0xc6d5330a, 0xc787b2e3, 0xa326a7a5, 0xd3753361, 0xc3c99f2d, 0x74a006bb,
+    0x5e45c2c3, 0x9e163d73, 0xbbcbc19c, 0x86de4107, 0x8173fc67, 0xad81bf7d, 0x14aa6260, 0x320554ae,
+    0x52e3ca95, 0xf46c14e5, 0x3ec6e80e, 0x2a2d5349, 0xf3e2845c, 0xc1bd9576, 0x3a2d0e1e, 0xa3727555,
+    0x73f3a904, 0xd898e2f3, 0x2e13d9f7, 0xbad7efbb, 0x3676c5c0, 0xdc72af59, 0xa2a55daf, 0x2bd33f7e,
+    0x8c3de48f, 0xa99d421a, 0x4f2271ea, 0x2b1e5b89, 0xe8cbbe9b, 0xa91a6e69, 0x2f3a7085, 0xac3ddd4b,
+    0x03407cd2, 0xb7f6419e, 0x4bf7c502, 0x2bee4cd5, 0xc4274453, 0x8495a3f5, 0x64353e07, 0xd5fb7e57,
+    0x00000000,
+    0xa17ac285, 0x97d56c75, 0xa3e747c4, 0xa1fbd3ba, 0xf0b3a0cc, 0xd590105c, 0x75a9d236, 0x8abfc6f6,
+    0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000806953086902158934267474741250941210728033\
+                         06025913234775958104891895238188026287332176417290004307232371974124148359168 */
+  { 0x00000000,
+    0xbbee0bbb, 0x76450cdf, 0xa315f991, 0x52fadc13, 0x781e000c, 0x0bae44e4, 0x7376ed18, 0xf585853e,
+    0xc10113a8, 0x7d22856f, 0xd945c4c1, 0x33f65bab, 0x324f544b, 0x6a3874a2, 0xb414c9da, 0x7e505bb5,
+    0x629ed33b, 0xb853e39f, 0xc1c938e1, 0x74725aa8, 0x9034b5df, 0x5e400e15, 0x74b9e4ff, 0x88d06f9b,
+    0x8944baa3, 0xcda011dd, 0x6d3dcfb0, 0x536798a0, 0x62a2603c, 0x5fa37682, 0x6c487771, 0xd6fe2168,
+    0x8a64f43e, 0xfa3fab8a, 0x6087df32, 0xdd2beb50, 0x8538414d, 0x16a53719, 0x7da8c3d5, 0x60e59a76,
+    0x1f9ae982, 0x74fb2aea, 0x525dce3e, 0x5314c85d, 0xdc64cb17, 0xf0889ffe, 0xdc823cc3, 0x14ccccf8,
+    0x7bfbc7f9, 0x047c9e15, 0x3b98368c, 0xcf8e2978, 0x9cc10df9, 0x1407a33a, 0x33170061, 0xfff3d360,
+    0x3b8b0f04, 0x71575d1a, 0xc8ef8b84, 0x2b72684d, 0x2726f5fe, 0xf39a14a3, 0x6a7ba4d7, 0xc575536c,
+    0x45cf9896, 0x559fc205, 0xa0abb3c1, 0xed8bcbd3, 0x4f8eb9e4, 0x932ee06c, 0x7af079d1, 0x739e4a9f,
+    0x964283e2, 0x22d9a46b, 0x48ae2ca8, 0x3c33ed29, 0xc4529557, 0x727522b9, 0x7847a8e7, 0x274856de,
+    0xc0b721c8, 0xcbb5c47c, 0x213cba3d, 0x5897fd4d, 0xa9ccd457, 0x82664927, 0x1259fdb0, 0x4768e163,
+    0x92d2cf2b, 0x80292f3e, 0xb0e53d24, 0xc2a2eb01, 0xab1d993b, 0x8055b037, 0xe4034717, 0x4ab96a1a,
+    0xa2037c45, 0x79ebb72a, 0x720c39f2, 0xba717ba1, 0x8875829d, 0x52597c4b, 0xf2565f85, 0x35088798,
+    0xa91993ab, 0x8d80aa10, 0xcc4929b3, 0xbb6b2107, 0x88e9a10e, 0x48b8f380, 0xfef93bfb, 0xaa1d07b9,
+    0xee355d02, 0xf648925c, 0x9545a1b6, 0x0b93bc5e, 0x7c9876db, 0x63084eaf, 0x4ce0658d, 0xa989ba8c,
+    0x2a6946fd, 0xa6aa2f7a, 0x571b3a8b, 0x42b3a426, 0x2126ed1a, 0x070cc60d, 0x84d398e1, 0x770fb0b7,
+    0x25d04890, 0xe7e8e97a, 0xd059d42a, 0xc5553a77, 0xb40980ef, 0xc7df2797, 0x62326fac, 0x92ae0093,
+    0x7dba44b6, 0xa054c04d, 0x352145d3, 0xc6a90421, 0xd31747c9, 0xba8077ce, 0xc8cc9699, 0x28a4ed46,
+    0xeb3b2460, 0xbb3c7254, 0xcb8b50d8, 0x6b988f71, 0xf14d1924, 0xf7a92ec3, 0x9e042165, 0x5bc1c7b8,
+    0x5b9b6cbf, 0xf9caf306, 0xdcdec04a, 0x339ecbc0, 0xb07c150d, 0xc7e589ac, 0xce837cf8, 0x72bf5caf,
+    0x2bbc9576, 0xc63ac989, 0x7d341654, 0x9fbffaed, 0xf5e9bcde, 0xfbbd7050, 0x2ed7be68, 0x94a9c3ab,
+    0xbea90d56, 0xd96da57d, 0x376f0a28, 0x9f47769c, 0xf39a5843, 0x8a1fd20d, 0x3c18627b, 0x77fa4ab9,
+    0x3df69945, 0xdcb128d8, 0x229a37cc, 0x1c4c8227, 0x3f25f710, 0xa8a5a03e, 0xf1c0188d, 0x511bd4c7,
+    0xaa42599f, 0xfb271bd1, 0x2c128e60, 0x12f3003a, 0xcc3f7881, 0x841c199f, 0x702ae883, 0xe9f7435d,
+    0xfc0863be, 0x644f254a, 0x5b555e41, 0x04bbda51, 0x5a9b75ad, 0xeccce802, 0xfd1fdd7d, 0x3c30db1c,
+    0xe00ae1b3, 0x4d3eba3c, 0x8a7ce12f, 0xbb271dc7, 0xf0b3c896, 0x38036536, 0xec3604cd, 0x8bb8355a,
+    0xb33c360a, 0xd1f0de13, 0x8587ef37, 0xd0bde3ad, 0x21eea732, 0x3e0752cf, 0xf280ec39, 0x21fe5521,
+    0xb227a0f3, 0xeacce6e4, 0xa0cf6650, 0xc7849518, 0x03474b7e, 0x4098ee8c, 0x21755809, 0xee590b75,
+    0x9ce93a8b, 0x91e41131, 0xfb7fb6da, 0xfdcffd56, 0x670f34ee, 0x240df1d5, 0x8c43c558, 0x775e96cd,
+    0xe630354a, 0xf7476eaa, 0x8c18b477, 0xf140de61, 0xd6029276, 0x9df38310, 0x966c6a3a, 0x1f194f03,
+    0xde133737, 0x95150dc8, 0xdbc008c7, 0x7d8de7eb, 0xfc900d19, 0x41ad749c, 0x244f9801, 0xe62cdc91,
+    0xa2673089, 0x57351dee, 0xad0274b0, 0x398a2fab, 0x313b85ac, 0x0a5ea60a, 0x9472d6f1, 0x8f709f2d,
+    0x53b94c02, 0x8b2d5ee0, 0xc4fbd3d1, 0x4925ea0f, 0xf893e6b3, 0x7383a230, 0xcf5ab532, 0x419b35b3,
+    0x07e18841, 0x9b167b46, 0xc63b0758, 0x130d9cb1, 0x85dcdfe9, 0x36affdea, 0xef679c47, 0x17610f94,
+    0xfc2cf7cc, 0xaf4f5421, 0x39cfda1c, 0x9c6bb00b, 0x44982b0f, 0x8dc0e051, 0x1501adc6, 0x2edf2d89,
+    0x4b28d467, 0x9d880f1b, 0xc97b6736, 0xc38c8463, 0xda94a265, 0x512ca719, 0x01ee931c, 0x587ecd85,
+    0x422cc7ed, 0xb4385144, 0xd9af3f05, 0x155022f6, 0xe71549f1, 0x1d0e59f5, 0x2678b80c, 0xa5d957ac,
+    0x3494237a, 0xa51c8ba7, 0x433737cc, 0x5ab6cf21, 0xdb26d492, 0xd4f20589, 0x225d87cf, 0xda6b9bc1,
+    0x2e466161, 0x01d39503, 0xb4fd1cbc, 0x3fcaac02, 0x9e5cbe84, 0x30395673, 0x0499d0a9, 0x0cb0c4e0,
+    0xee3cce6f, 0x2cb4a5ca, 0xd7874e8c, 0x74c805ab, 0x1e1d90c1, 0x6e999c3b, 0xb0ceef5f, 0x26148eae,
+    0x6d67fd9a, 0xebaa5f0e, 0x1d19522d, 0xb52b8a3a, 0x275fe630, 0x8501384e, 0x08d1104b, 0xc911325d,
+    0xef51ce28, 0x37aeb8ce, 0x27ffa348, 0xe80d57ff, 0x1d76c7f7, 0xe258d219, 0x65a2d9b4, 0x21d70757,
+    0xfdd8180a, 0x1fa6976c, 0xba951c87, 0x82df1c37, 0x171e0b83, 0x461a9e9e, 0x0bad6505, 0x6b5f124d,
+    0x38558d87, 0x77648b83, 0x4e814f8b, 0xc8ef382d, 0x11cb3f9d, 0xb2a038b7, 0x4ec866ec, 0x2acd0ade,
+    0xa908bfd0, 0x39482fc7, 0x2945b284, 0xe8106bda, 0x35594c9d, 0x0b6b20b2, 0x2c10f621, 0xa527c67e,
+    0x3857a45a, 0xc0fe8f4d, 0xa05eab12, 0x948be09e, 0x69defff3, 0xae84ac0d, 0x4258abfc, 0x29074b7f,
+    0x91e012cf, 0x6a19723a, 0x600268d2, 0x62f7a6d5, 0x1e3ace46, 0xb8fd16a4, 0x774f877d, 0x76c9941a,
+    0x0d558fd0, 0x68bb94ea, 0x466b6aec, 0x6e99f663, 0xd289794a, 0x0df13080, 0x75b46ec9, 0xf1ceacd9,
+    0x5cb9e8ae, 0xe90a1d62, 0x3f8b3a2c, 0x07edcbc3, 0x4985c7ab, 0xda2ad183, 0xd57c6175, 0x1abedf6d,
+    0xf32373a0, 0xe96ebd9a, 0x80dde27d, 0x81e7ea74, 0x42f5d433, 0x14afda41, 0xfdd8fbbc, 0x2419f809,
+    0x7a103088, 0xbbad7615, 0x8b89e5fe, 0x3797c89f, 0x7155c44a, 0xa7e2572f, 0xfe05555a, 0xe06c2fe3,
+    0xef6bce67, 0xd4646b52, 0xef1b203e, 0x3b215649, 0x2b510b4d, 0x276ae94d, 0xb74e6edc, 0x8a2bf11a,
+    0x9b874103, 0x10286cc7, 0x79e2086d, 0x9b911687, 0x4456c43c, 0x6b8b1d50, 0x6e565414, 0xb599c946,
+    0x876c7ac0, 0x9d6e3c73, 0x8452fd4e, 0xe7f1b568, 0x7e3da687, 0xd05cbec3, 0xb1b4e06d, 0x47141eb0,
+    0xa8f2eee1, 0x80784a7e, 0x28aed4f7, 0x629915cc, 0x2c81b1da, 0xe116bca2, 0x40664dba, 0x5ad287a0,
+    0x2cef94e6, 0x4f41bebd, 0xb2f6185b, 0x5448c163, 0x6f33da9d, 0xb8535bfa, 0x940a41d4, 0x7627a2cb,
+    0x5cd163cf, 0xad498042, 0x63ccbc98, 0x64b6a002, 0xa3c6bf3a, 0x9f33304b, 0xa7b51960, 0xab7f58c8,
+    0xcbbbe9b6, 0xe58ff78e, 0xf125467b, 0x458fbf15, 0x9dfed8b7, 0x943f7aaf, 0x5bebcd2e, 0x07b72b3c,
+    0xb8c84ec5, 0x4ab5d5d1, 0x7dbbd74d, 0x1b2802ab, 0x02a1b75c, 0x1d5d0ec9, 0x8979829d, 0xe3b41a6d,
+    0x1a9c705a, 0x034ac8eb, 0xadffdd03, 0x81145e3c, 0xd2debce1, 0x1331e3fa, 0xb624e617, 0x4ce52f6a,
+    0xff0f3d3d, 0xcd7c1d60, 0xe77681a6, 0x3726401e, 0xdebf4386, 0xb4c8126a, 0x98a1b0f9, 0xdd200ef9,
+    0xae5e6663, 0x911ea348, 0x143655b0, 0x5f3b86b6, 0xcc57f2a1, 0xbdff788e, 0x633983ce, 0x105e6e65,
+    0xaee07d81, 0xa8223d48, 0xa1e33170, 0xa6c1395a, 0xeb06d710, 0x1ec893be, 0x1c0ed99e, 0xd978bfe6,
+    0xc845b4b4, 0x2e0d6045, 0x8422dd97, 0xdb9b18fd, 0xba47ab9b, 0x7fbbdbfa, 0xb52e98c5, 0x7a9beeb0,
+    0x4019196b, 0x52a4baed, 0xa747d63a, 0xa74d107d, 0xf0cf007b, 0x28f0cd49, 0x8e41b5bb, 0xc0b7bdfd,
+    0x1e78474f, 0x5b8270a2, 0x9ec8bc72, 0x17394559, 0x2505a0b6, 0x0ef9e1ae, 0xdd873be9, 0xe81d3eeb,
+    0xfc9b1d1b, 0x9a069322, 0x7009c202, 0xbb611245, 0xa8408cff, 0xe86323ea, 0x42cec725, 0xd4bb3469,
+    0x3d0f6eab, 0xc62cc781, 0x662a4920, 0xdbab8726, 0x078b8f59, 0xe8a612c0, 0x44523c27, 0x89fc33af,
+    0xe72ea787, 0x857988b2, 0xbf22f74d, 0x5d148e1a, 0xe5b396f4, 0x905ccebe, 0x1e51a1fb, 0x0ea3be19,
+    0xe1b9aaa2, 0xc08fd44d, 0x72be8d41, 0x560105c9, 0x6bb47407, 0xa17bcde6, 0xe46cd0cb, 0x3ede12f1,
+    0xe55d9a1e, 0x24b491fa, 0x740e21a8, 0xb520785b, 0x18911e2d, 0xcebccd66, 0x3bb6c6a7, 0xd8cfb8ca,
+    0x16374532, 0x7024c5af, 0xd2a4f051, 0xf63f2f8f, 0x99eff87a, 0x9c66f69b, 0x2d5143c9, 0x28ac8585,
+    0xb99deaa3, 0xf999414b, 0x613bd0d0, 0xdc6ef572, 0x1409ea50, 0x70015448, 0xb1da5a9a, 0x76ddaaf8,
+    0x336f8747, 0xaf09115f, 0xea97af45, 0xca64df38, 0x639fb83b, 0x48a103e4, 0xe87fc02d, 0xe775c892,
+    0x7379ef87, 0xfce7a482, 0x014a0ce1, 0x61983f27, 0xb488a42a, 0xf6b4db19, 0x5cb530ab, 0xfc4b2081,
+    0x18729097, 0x49602c62, 0x465482b6, 0xa9df3f9a, 0xdbde42a7, 0x8078929e, 0xfa99a871, 0xe990d663,
+    0x52ed99a9, 0x0557b193, 0x08ea4eee, 0x66112673, 0x6820a1b0, 0xae41d12e, 0x4ebf44a6, 0xd5e77c82,
+    0x3d53bb2b, 0x0daebd58, 0x6b03ad48, 0x6885215e, 0x7ae41183, 0x3d265c53, 0xd6662a23, 0xfc8fa107,
+    0x7302d18e, 0x10727e21, 0x1f6d01d3, 0xaf690c29, 0xf4d45ae8, 0xd74c1706, 0x17c387cc, 0x80c1d639,
+    0x6328d017, 0x920244da, 0x5d4e0af2, 0xb568b561, 0xadbf4ee1, 0xdb7e65ed, 0x138f6e3a, 0x3573f661,
+    0x60723eac, 0x765ac04c, 0x0eec3cb9, 0xe0c757da, 0x466f383f, 0x9dbc369c, 0x6f69b80d, 0x0d1a33d6,
+    0x3f7bcc43, 0x953caeca, 0xbd1b49c5, 0x5b6a050c, 0x5211e103, 0x2c0c5d96, 0x3a56109e, 0x233dfb6d,
+    0x9b6da547, 0x90664104, 0xf03e44c8, 0x3082f346, 0xb806141a, 0x4f71ca69, 0x661d8cb3, 0x3103e9ca,
+    0x4d14c05d, 0xae868c20, 0x2d0ec2db, 0x074a6a36, 0xe0fd2813, 0x226299bd, 0x92391894, 0x0221cb2e,
+    0x10a4c655, 0x0e9a7feb, 0x733a29ee, 0x448df3aa, 0xa3c8ed78, 0xb0981269, 0x0c546c7e, 0x5375ed2f,
+    0x482a471f, 0x93e48ae4, 0xdcea0d23, 0xc9de4d4f, 0x25f66a20, 0x1fe1ae9a, 0xdf284937, 0xe952b298,
+    0x03f3155f, 0x57ac3365, 0xdeaeba13, 0x283478b5, 0xbc6a379f, 0x1ef77218, 0x92d41927, 0x37c919c1,
+    0x0a4816a7, 0x853d2657, 0xd59e5f1a, 0x890a75d7, 0x5614c973, 0x39c52b08, 0x10773141, 0xa61dcbf6,
+    0x2918380e, 0x491e9ba9, 0xce74ad63, 0x942c16e2, 0xd9e90b65, 0x5c719841, 0x2b9a5c0b, 0xc63631a6,
+    0xa2dc929a, 0xc6d98a6c, 0xf13394c3, 0xfa3d93fb, 0xea43fbc3, 0x21b1e4e7, 0xb2457842, 0x1f4c1437,
+    0xf7c5a75b, 0x23bbf916, 0x1b4becb6, 0x8cbecf9a, 0x612ef4a0, 0x77cb5c7b, 0x4649c1a3, 0x04c437de,
+    0xec9997f5, 0x734cd7e9, 0xefd900c9, 0x23aa4e95, 0xe61f1deb, 0xabb502fe, 0xe366030b, 0x96a9c94f,
+    0xbaafaf9a, 0x5458aa1e, 0xbabf1efe, 0x4385ec5b, 0x6075c145, 0xf4271df5, 0x2e4e118e, 0xc1e1d6e2,
+    0xf98d61fb, 0xe60ff9b1, 0xb05737d7, 0x7e567236, 0xf4117f1a, 0x114f2e20, 0xd3713b9d, 0x8777ad76,
+    0x69e84731, 0x4af0d199, 0x9cefcf1b, 0xffe1241c, 0xcf196500, 0x4a6d60c2, 0xc7cbb4e0, 0x7e80347d,
+    0x188ccbe2, 0x7a4aa078, 0xb9d37921, 0x49b419b4, 0x691b6756, 0x89e8d562, 0x3c8c370f, 0xa284a26b,
+    0x4fb04286, 0x32818bf3, 0x0eaf3036, 0x5de2e596, 0x9b77e8c6, 0x6d2e5a31, 0xf0718279, 0xb158b12b,
+    0xdcc79bd0, 0x68434d48, 0x4f90a8c4, 0x252d666b, 0xa852c6a6, 0x1e4b2a71, 0x7777fc94, 0x9e7f7c68,
+    0x91218ab6, 0x94be5e51, 0x513cad55, 0x419e471c, 0xe470b40c, 0xcd31c96f, 0x5df9b5ea, 0x65ec04cb,
+    0x2f28d0bf, 0xd09637d8, 0x8a8fe9d0, 0x77d8885d, 0xda5befb7, 0x1792cd55, 0xd10325ee, 0x8f3edc5e,
+    0x7fd6b664, 0x72b97bc4, 0xa5a719ca, 0x446e9499, 0xa314523d, 0x23ae78cc, 0x9747d43b, 0xd35b74f3,
+    0x92e62472, 0xf94e2bba, 0x1757a290, 0xea197eb8, 0xf94243c0, 0x2cb6c8d6, 0x9bf74099, 0xa07be440,
+    0x3696116c, 0xc095afbe, 0xccef234e, 0xba27ff37, 0x50b492cb, 0x2d1343b6, 0xdf4ce6bf, 0x8940d260,
+    0xb61e5b29, 0x61e00ab2, 0x29531814, 0x03b8f57f, 0x963d503b, 0x782cffcb, 0x22c8f3aa, 0xe361f410,
+    0xe075c9fa, 0x5ad24ee5, 0x47f274f1, 0xea80be77, 0xa682ca54, 0x13493cfa, 0x9033ac74, 0xc2a6f658,
+    0x74614703, 0xef65ed3f, 0x5bb1ecca, 0x4530482d, 0x95d1a521, 0x7128e2e0, 0x737e1b48, 0x7eb7817c,
+    0x975116ca, 0xbba830c7, 0x9837b38a, 0x356cc384, 0x5e882e8f, 0xec268c9b, 0x40606432, 0x01bdfb9b,
+    0x73b0e1d4, 0x832116a4, 0x5440eb29, 0x7d16ce89, 0x3b012f4d, 0x37dc645e, 0x8e087646, 0x76bf761c,
+    0x58946954, 0x97ff7fea, 0x491efab1, 0x6b137b66, 0xe37b9aa6, 0xb74f76f7, 0x01ada406, 0xfaf8983f,
+    0xad680ce9, 0x78d1d15a, 0x90264348, 0xd192b01e, 0x4c7ecb6c, 0x38900386, 0x4313be16, 0x1123b085,
+    0x0524efbf, 0xfa659ad9, 0x1785f688, 0x12c7b4fc, 0x2cfb457a, 0xaaa298b8, 0x2cd220aa, 0xe8f88556,
+    0x54483e8f, 0x57eb7ba8, 0x0c788550, 0xfba9b25c, 0xd3af1c7d, 0x736a8a49, 0x27516b5a, 0x83815621,
+    0x81caf073, 0xd8acc0a7, 0x37cffb73, 0xaf1c2ffb, 0x0e9a9331, 0x67dc3d5c, 0xc68a76f2, 0x57c79747,
+    0xcb5eee29, 0xa408b15a, 0xc3ab083b, 0x3d3b1591, 0x046237df, 0xae6ef0fa, 0x77954fea, 0x181aa298,
+    0x54d2194c, 0xd3158b4b, 0x361932c4, 0x03e7c60e, 0x2764bcb6, 0xc88967d1, 0xf6e93567, 0xdee585bc,
+    0x4b557c24, 0x375e0859, 0xd3aa47f1, 0xb1bd060b, 0xdb3bbbba, 0x6ca673f8, 0x1a0e9881, 0x1e2ed67e,
+    0xe75c666d, 0x77a7daed, 0xd2090e9c, 0x94c3d830, 0x43120b91, 0xd7cf7974, 0xe1079c00, 0x196f6e59,
+    0xe6085fd7, 0xa476f33a, 0x76899dde, 0x003e8118, 0xd36c4b59, 0xf1efe182, 0x51b8ac28, 0x6ceed961,
+    0x3ff2c54a, 0x846f998f, 0x2c969882, 0x8b7ca86f, 0x66bb3df0, 0xc35d3991, 0x62fe0660, 0x8498d2dc,
+    0x2395cd06, 0x99f4fb88, 0x1b69aba2, 0x5971cebe, 0x3ece9fc2, 0x3bbe6ac8, 0x0e1860c0, 0x316c840d,
+    0x31ba5333, 0x4b3358da, 0x058e9d9b, 0x5575f3d9, 0x37f7fd5c, 0x97fae6b7, 0x22815d64, 0xc35ffcf0,
+    0x735140a5, 0x28ccec02, 0x899859bc, 0x28fcd913, 0xf2ccf69e, 0xceb9037e, 0x6af4e30d, 0x4bffc172,
+    0xc32c5371, 0xaffab16d, 0xb14deb8a, 0xbd9aba83, 0x94abd5f6, 0x412a9eb2, 0xf7c81a11, 0x0f5f56c9,
+    0x18d5e99e, 0x1a9fbcb0, 0xc4e8cc17, 0x88c261eb, 0x97e85e94, 0xdb173804, 0xce3e0ef4, 0xd152c438,
+    0xe011f59a, 0x95d25f25, 0xd7309c15, 0xcc0cee3a, 0x985cdcc5, 0xd6eb0e66, 0x51928009, 0xd0c7df96,
+    0x7b4c3f97, 0x7ce5575a, 0x503456cc, 0x72ccbd86, 0x7921a7aa, 0x17aa32d1, 0x7509110f, 0xa57f9c5c,
+    0x00000000,
+    0xd0bd6142, 0x4beab63a, 0x51f3a3e2, 0x50fde9dd, 0x7859d066, 0x6ac8082e, 0x3ad4e91b, 0xc55fe37b,
+    0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000403476543451079467133737370625470605364016\
+                         53012956617387979052445947619094013143666088208645002153616185987062074179584 */
+  { 0x00000000,
+    0xefafb743, 0x19fdbd1d, 0xd8ddef47, 0x86d5f707, 0xc95e1e47, 0x5b7391cf, 0xb0fe502c, 0x3b838420,
+    0x35a8affa, 0xc63b19ee, 0xc6ddf19a, 0x677196cd, 0x69db0f12, 0x041a1c02, 0x179b554c, 0xcfa69e14,
+    0xa378b7dc, 0x8a160b77, 0x0c1c77ca, 0xbb14fa6c, 0xf366c093, 0x377e639f, 0x40b3c9e2, 0x6a688d34,
+    0xeec1cade, 0x24c957e9, 0x65cc073b, 0x9aff945b, 0x34120ad2, 0x63e7e2c9, 0x2f201f56, 0xb7a41940,
+    0x67bccff6, 0xff76ae90, 0x144aafb6, 0x3fa12b92, 0xce725d4d, 0x3df683c6, 0xb235b94e, 0xddc2dd6e,
+    0x8b6c9938, 0x1793bb54, 0xde7577ad, 0xb863b136, 0xa2fa9d97, 0x7f82e663, 0x3e4909ea, 0x48ea8470,
+    0x81ee76f7, 0x0f985712, 0x1e3aa43b, 0x33b40f7a, 0x4707f209, 0x9f15789d, 0x58226192, 0xd8e867a6,
+    0x4e7fcd7c, 0xf6dcfeff, 0x14bcd4ba, 0xd8f831c7, 0x3a1b9b5b, 0x7d18a3df, 0xd5224719, 0x938d6b0c,
+    0xd614608a, 0x497eb2e8, 0x95ffb452, 0x2cfef567, 0xe19adc22, 0x097055f7, 0x4a2f1ddd, 0xd9f6264a,
+    0x6dd0a387, 0x326b2c0b, 0xa49b5caa, 0x58abe108, 0xe1053b32, 0xcbca3706, 0x29afe0c5, 0x101a6fcb,
+    0x320014b2, 0xc12acabb, 0x416c77e4, 0xd1f856fb, 0x2793ebcf, 0x110ba23f, 0x091094b3, 0x2c577375,
+    0x457f1180, 0x19e0273c, 0x94af3b89, 0xb9fb8561, 0x826cb494, 0x926e8571, 0xfcb75669, 0xf14b7598,
+    0xc9099635, 0x173e9f70, 0x3482ba26, 0xab2f525e, 0x0676c5a7, 0xdd64b086, 0x60ee1de4, 0xd6aa416d,
+    0x42aa3aa0, 0x5ef2d4c7, 0x20cdd284, 0xe744fcd1, 0x282e9d46, 0xfefa0580, 0xd9e655ba, 0x7bde3a82,
+    0x4b94a002, 0x590c86c2, 0xe362e64e, 0x48ed1bec, 0xe3a44e00, 0xc61fecb3, 0x3c0d8356, 0xa90ce2ba,
+    0x03960a59, 0xbaf9a732, 0xf9c6ce13, 0xabff610d, 0x43d7f68e, 0x3485a8f6, 0x31cd6562, 0x6713c5e0,
+    0x8ea04f73, 0x1604b271, 0x0599d9fe, 0xf9889edb, 0x106f7d55, 0xa3ff9ee2, 0xdf56e42f, 0x03e85e91,
+    0x5ae36edb, 0xb116432a, 0x7c1243e3, 0xbb5054ec, 0x9d4ed2f7, 0x535de855, 0xe6917c16, 0xc7a22643,
+    0x6d8c1df5, 0xb6413d69, 0x53a91e0c, 0x7787eb79, 0xfe3f6e6b, 0x347ba698, 0x7f4fe694, 0xa3177d93,
+    0x64028af7, 0x623342aa, 0xd61ee3fe, 0xaeae8681, 0xc8a7a040, 0x44c44198, 0xfed1eee2, 0x4fd5ee57,
+    0x0ccff629, 0xb681dd0e, 0xd9a9add7, 0x91886e7a, 0x37c35919, 0x08842c2b, 0x5ae14fe4, 0x52cdff5b,
+    0x051a5773, 0x67470873, 0x35d63bd8, 0x65b07d10, 0xdadb4c01, 0x1bc71c37, 0xd20df1b6, 0xd4c3f0d6,
+    0x7ad07228, 0x46e66bd1, 0x57bbe46a, 0x73d56a99, 0x0f41bc9f, 0x7ea5d6b2, 0xcc971dd8, 0x7c980b12,
+    0x2f247bc4, 0xe4d963e1, 0x94cb6b95, 0xa22afbae, 0x2720d4c7, 0x74341899, 0xe470f69f, 0x0e71ec6d,
+    0xf8ff5567, 0xb33065fe, 0xee179092, 0xaf8d0757, 0x5201ce19, 0x23475d12, 0xdba845a5, 0xc429cc96,
+    0x1db197d5, 0x2619aa49, 0x32f46f3a, 0xf8b53fc1, 0x26c5d0f7, 0xd47fa69d, 0x2c8cc2e1, 0x19d308f4,
+    0x1ff5941b, 0x82176477, 0xcec0847a, 0x2b3cd029, 0x3ac9f370, 0x2dea0c36, 0xb4ca80d9, 0x62185425,
+    0xeb4a9c70, 0x5ffb28c6, 0xb3e4ba4e, 0xfc5b00aa, 0xa7c42e14, 0xd781194a, 0x0c14d03e, 0xde5ea847,
+    0xb4dc3798, 0xe4ceac34, 0x254960f9, 0xf2a4f190, 0x30bb06c8, 0xddbd8128, 0xf77448df, 0x75131af2,
+    0xe25e4a23, 0xde135255, 0x32f4d635, 0x5660fde9, 0xc75a0b67, 0x48bd72b3, 0x3c380c49, 0xffc01e87,
+    0xa034e213, 0x1109d9a9, 0xfd541429, 0x5640bcdd, 0x7454383c, 0xa26409e8, 0x9399d4d5, 0x9e66d842,
+    0x0bbfdd52, 0x43994bc7, 0x6212c812, 0x4f3e9089, 0x3293b99a, 0xd34c0745, 0xd051f3dc, 0xee976fbc,
+    0x94bf99af, 0xc45893b6, 0x08071235, 0xea09f6b6, 0x9c2f2b29, 0xce65469c, 0xbd731175, 0xb146b48f,
+    0x1e461dd3, 0xd8287cc1, 0x139b3ab9, 0xaaec24a3, 0xc9081815, 0xa74d14f8, 0x9da9806a, 0xdd89bc36,
+    0xba2d65c1, 0x09e0fac6, 0xfdca776c, 0x62dd639c, 0x7ab389b1, 0x047e11b7, 0x2cf55c3b, 0x4d3f2bdb,
+    0x02df8755, 0xac6ad2ad, 0x1819aa25, 0xad758e4f, 0xc431ecc4, 0x30aedeca, 0x86b434a8, 0xdab2d00e,
+    0xf5a742eb, 0xfd0416fd, 0x49590721, 0xddcc1cc4, 0x77313865, 0x1e2059cc, 0x5d52430a, 0x11890547,
+    0xccc1da81, 0xe81b42eb, 0xbe578f21, 0xb908fe62, 0x31556194, 0x28a329a5, 0xc0dd11a7, 0x729946d3,
+    0x064bf335, 0x0c3826a5, 0xd85766ee, 0x5219b96d, 0x8f67346c, 0x8ce8448c, 0x8738e3a7, 0x63563a95,
+    0xdd4026ae, 0x2141ef74, 0x3855be65, 0x00252442, 0x3538adfa, 0x334ed301, 0x638c8338, 0x6eed6291,
+    0xce724be5, 0xa8dce468, 0x6b8ba33c, 0xb0e7c42d, 0x332391f3, 0xc92884a5, 0x9f0491b6, 0x3fc5b7e6,
+    0xa55ca344, 0x6df27917, 0x37f32885, 0x783ca310, 0x1a30adb9, 0xa36af9a9, 0x3d63a000, 0x41b43f11,
+    0xeac7397d, 0xa261f76c, 0x60e639e7, 0x85740058, 0x56c347e5, 0xa0eae15f, 0x4f03d06f, 0x1472ffe4,
+    0x49c42606, 0x1b705782, 0x107b5410, 0xa0ee5f27, 0xe2793f00, 0x7161b538, 0xeabf3ac1, 0xf1cab3d6,
+    0xeec7b4da, 0xd2664a4c, 0x10073a99, 0x59604506, 0x1b92544a, 0xd4bb64fd, 0x0ad0f5a5, 0x9f18d32d,
+    0x009a76f9, 0x4906fbb1, 0xcc0b3ae6, 0x51c85e09, 0x80b9cb4b, 0x6763f7bb, 0x4c10b24d, 0xec949f99,
+    0x7cb8503f, 0x44006e13, 0x463787d6, 0xe7e6b426, 0x7d89a46f, 0x4fa5fc91, 0x4f6036e2, 0xedec2e08,
+    0xd1afe1d2, 0xa8e6c7f7, 0x2c7f5a2b, 0x42e6549b, 0xcc05012c, 0xee66da4d, 0xf357ec3f, 0xf7848a56,
+    0x26b5da79, 0xc203c3e2, 0x9367bc1b, 0x76e4705e, 0x11104306, 0x1efed449, 0xf0d2151b, 0x962faef9,
+    0x6edd11de, 0x8245ca70, 0x3e572d67, 0x50e9c1d7, 0x9d3c6b62, 0x47fa42ba, 0x6bafccf7, 0xa60998d8,
+    0x8e607a79, 0xd95c5219, 0x73698b77, 0x90b71bd4, 0x51c6ecde, 0x59d8586e, 0x8e559e91, 0xe5b79439,
+    0xe96089ca, 0x5683e6b5, 0x14b1e8ca, 0xe55f4d94, 0x95445689, 0x2f14d509, 0x8fa7a7a5, 0x828ae208,
+    0x2ec8bdff, 0xbfdb2e06, 0x88abefb5, 0xccd6c79b, 0xfc2a1e36, 0xeb48c18a, 0x14754f74, 0x4a573a31,
+    0xd812023a, 0x1eb56e0a, 0xe7fc367a, 0xae3d317d, 0xfc923d31, 0x4836c3ac, 0xa5b536a1, 0xd4214b4b,
+    0xcc8c1032, 0xb81b30a6, 0x207f907e, 0x17e2f095, 0xebf60891, 0x259d7c45, 0x33d22850, 0x5fce7c9d,
+    0x040e2621, 0xd1b26558, 0x991ed3dd, 0xeef4af77, 0xfd53bedd, 0x6ea4cde6, 0x90b468dd, 0x83d109df,
+    0x59744836, 0xc6084d5d, 0x35a7c6c7, 0x99737138, 0xc8cc26d6, 0x65d2c846, 0x5b8748d6, 0xd60a4c96,
+    0xa9cda54e, 0x7e05c619, 0x6291063b, 0xc6eb7063, 0xf005e4ce, 0x0cce4a71, 0xe22347ca, 0x4c7ecda9,
+    0x98287d39, 0xcd92bf97, 0x63f5f97c, 0x420fb527, 0xd5ec7c5f, 0xd1be743b, 0xf5309768, 0x3f089759,
+    0xd605e90a, 0x59dcce36, 0xfed67b9c, 0x0059cf1c, 0x0cb80eae, 0x7190a54c, 0xd4e3288f, 0x9ab56836,
+    0x5bee4423, 0x82e5988e, 0xe5770f15, 0xc95cc872, 0x38d5c840, 0x4b5663dd, 0xb317db21, 0xc558485c,
+    0x7078cd00, 0x040c3c11, 0xa6f704e2, 0x11e6cae2, 0x3074f0ba, 0x602cee30, 0xc1c77e1c, 0xad555be6,
+    0xb4f5bd77, 0x744c3fa0, 0x5326f970, 0x8fac4180, 0x80f91209, 0x8415e53a, 0xbf8ccfce, 0x71f1099e,
+    0x87505d80, 0x1d8f7ee3, 0xbd144c00, 0x99282fe4, 0x70e39d82, 0xd241c5be, 0xe4cb1084, 0x42770ae9,
+    0x1bb41505, 0x5c9b5375, 0x29c4bd42, 0x43918da2, 0xaa12eef5, 0x8ed24cbb, 0x4bc7d2ba, 0x99ab70d3,
+    0xb6f6f1f2, 0x00f8881c, 0x5189a113, 0x2aeefd4b, 0x80230ddd, 0x5e598b17, 0x4247de92, 0x58ed5b98,
+    0x69fd385f, 0x70cdfcec, 0x1c01c367, 0xca1dba70, 0x043bfcb6, 0xd3194e8b, 0x989e5651, 0x2ebc754b,
+    0xa016c42c, 0xb2c7e329, 0xcbd7edc3, 0x0521bd18, 0x800020f1, 0x5182b632, 0xe93ebdfb, 0x3bc670d5,
+    0x392f57e0, 0xf48bcdb4, 0x78382b70, 0xb90a02db, 0x0074e65f, 0xb0f6cb6c, 0x994f2db9, 0xe1b6c164,
+    0xc466af83, 0xe5a0d559, 0xf05504cf, 0x8e625e31, 0x446a79bd, 0xe80e313a, 0x412c61f4, 0x44395705,
+    0xa989a591, 0xb3d72600, 0x880ed568, 0x62252251, 0x59c6c87a, 0x113ecbae, 0xf65d21f8, 0x6eb1931b,
+    0x67207e91, 0x17052c20, 0x28908683, 0xde30312b, 0xc6aec750, 0xf5b1bb38, 0xa38e972d, 0x14631e46,
+    0xba7f0981, 0x77f133c8, 0xf5241584, 0xf98b1a29, 0xde92fc9b, 0x8bdd1ce5, 0xe0b80503, 0xf062c173,
+    0x834b71e5, 0x878d19a8, 0x77e4fdc3, 0x50af7f88, 0x232573e4, 0x378aa806, 0x90cb7003, 0x0730748f,
+    0xe75f9446, 0x532ffb66, 0x2511e1eb, 0x51c2860b, 0x3a2e4416, 0x835836cd, 0x6fbefc1a, 0x7c975b19,
+    0xd931bc29, 0xbd13540c, 0x0fceb693, 0x2e2d9384, 0x84caef85, 0x82ea6dae, 0x49617786, 0x41ef46a6,
+    0x1af4ad01, 0xdc53028f, 0x75922445, 0x53596a2f, 0xcdf5226f, 0x53918f8e, 0xf8dc0f77, 0x69d81ea7,
+    0x5c6c2bad, 0x024e2346, 0xb5761c90, 0xaae6056d, 0x3accafb9, 0xd12a8564, 0x58bbef5f, 0x0eb7b4e2,
+    0x0eab3493, 0x86d19a57, 0xa89ce353, 0xbe2ac2c5, 0x38b64651, 0xb6842b51, 0x37cdc4dd, 0x99b85e14,
+    0x0f22cc86, 0x1c6ca120, 0xbd967d49, 0x3f8a58c6, 0x3fa0b860, 0xf4eaa990, 0xb0ca0eda, 0xf7dd69a4,
+    0xd5872e6a, 0xbc6bd4f8, 0x8f0d5703, 0xd902cc3d, 0x6302f342, 0xf7d905aa, 0x057c2921, 0x4fb1c08b,
+    0xfc935763, 0x23510abb, 0x39a56d2d, 0x4feb4dd3, 0x9d29cbcd, 0xda87da7a, 0x1dce94f2, 0x9a44c2fb,
+    0x6b76ef53, 0x7f6e00fd, 0xb31d1113, 0x0758b5da, 0x2e8ab4f8, 0x8e4a0089, 0x6364cd19, 0xe3f9908c,
+    0x4aac4ae6, 0xd7f8a3ee, 0x31362a90, 0x75404d30, 0x045cf6c6, 0x8d526183, 0x68cc3139, 0x46ecce39,
+    0x5efbe756, 0x0d516350, 0x1a655517, 0x13b008a6, 0x85eca58b, 0x0639c5b9, 0xcff2fa66, 0x405e58fc,
+    0xabd889a7, 0x49e020b2, 0xe3d21c06, 0x60152e48, 0x731a205b, 0x248b49ba, 0x001a04b7, 0x15800c69,
+    0xe2f329ab, 0x770643f6, 0xd6dd6e49, 0x682ce8c5, 0xc5c9139e, 0x5acd57fe, 0x0248a989, 0x4eb004b1,
+    0xcc3d87e7, 0x73602b2b, 0xc874068b, 0xa86d0cb6, 0x6a9347ce, 0xacccb6ee, 0x08f94aa8, 0x0123e3f3,
+    0xe9eaffe2, 0x74afdf1f, 0xca761408, 0x5591497e, 0x3f99aa13, 0x8c5a1013, 0xaa9171c9, 0xa3805841,
+    0x956d4f24, 0x885b6fee, 0xe554dd3f, 0x6509573f, 0x749ece41, 0x39442b56, 0x2c3f020f, 0xf5524940,
+    0x144aadca, 0xbcc09e19, 0x438afff6, 0x2c738da2, 0xd3938884, 0x56a9de39, 0x0f3667db, 0xc208a3a5,
+    0x98826812, 0xc9405a55, 0x3f4045c0, 0x1888f756, 0xce4c7b4d, 0x754e8b0f, 0x94b5f392, 0xbbad8bb2,
+    0x6c4cbda3, 0x596531ac, 0x87753c68, 0x6a42ec0f, 0xeb8ca6bd, 0xf1323605, 0x026b96f8, 0x9fa4eb0a,
+    0x6e573942, 0x1985ae30, 0xd5a54ca4, 0xa5dde494, 0x97187424, 0xffaa3922, 0x01a12c73, 0xceb7a084,
+    0x91dd01b0, 0x58b3cbea, 0xcb2d675f, 0xefbd8161, 0x7e78259c, 0x3ef82b0d, 0xd24618df, 0x141665a8,
+    0x0133857a, 0x63e63655, 0x18816204, 0x95d4d21e, 0x25851bc0, 0x9f660af7, 0xc8c3142f, 0x035c2a00,
+    0x1c857401, 0xaf901346, 0xd32aebe6, 0xb2e75b77, 0x4d0ab7f9, 0x00849f61, 0x9ef1d1f9, 0xa94cc37b,
+    0x29795da2, 0x6ff10cb5, 0x98fed498, 0x5902e4c2, 0x80f570f2, 0xa28ae4c2, 0x053b5a85, 0xc817d8b3,
+    0x1d88bddd, 0x179a6bf5, 0x009421b9, 0x82955e96, 0x8dd0e6a5, 0xb5c802a1, 0xefa84a1e, 0xfdbbea4e,
+    0x450b2717, 0x08f60320, 0xf0f6e360, 0xe3793af8, 0x917f7568, 0x61e85387, 0x87ed35eb, 0x7eaa7750,
+    0x6abaaf54, 0xcca941c3, 0x84bfe784, 0x3fc32504, 0x86f3110c, 0x3dfa5174, 0x9c6a4fde, 0x6a6246ca,
+    0x853487ce, 0x2f5b9591, 0x4cacf071, 0x6d4cd8c7, 0xb92a8bf1, 0xdb2b0ccc, 0x2511f1d1, 0xaf34ae09,
+    0x1d3e869e, 0x058aead6, 0x126533d6, 0xba43ac3d, 0x1ca5f35d, 0xec22358a, 0xa63c16d9, 0x04358e32,
+    0x350e2c32, 0x0a6d8cfb, 0x08979fb2, 0xbfc5ac6e, 0x3c2bad0e, 0xd7cd2abf, 0x8e0d7887, 0x5b25ceff,
+    0x81cc8153, 0xb3b26f73, 0x95024127, 0xd08a312c, 0x1efd0326, 0x49b0fc99, 0x682d16a6, 0x4661c91d,
+    0x16305153, 0x0a87d7d4, 0xc391ac7a, 0x56088524, 0x3fa4148f, 0x036b73d0, 0xdc7eed05, 0x538be57a,
+    0xaa4e8b05, 0xbaffc8ee, 0xdc945bdc, 0x0cf125ef, 0xb751c7c2, 0xb08e0158, 0x1a36ef86, 0x9b665466,
+    0xdf7d649d, 0xa9daa5e5, 0xe929bd0a, 0xbcf4ec8c, 0xa010d73b, 0xd02f9947, 0x7f8a4633, 0xb8c43f74,
+    0x97b24e76, 0xdcf09532, 0x0a682356, 0x5eb5d32f, 0x5ec44a06, 0x2170fc45, 0x24cf0ccf, 0x137225e8,
+    0x2462e43b, 0x0a6a83eb, 0x6f3fe1ac, 0xdbd61b57, 0x4acb11ed, 0x99ccaa14, 0x927600b0, 0xd7c253f4,
+    0x910e2925, 0x2915d56a, 0xcac08155, 0xcc6ab0fb, 0x1e3db4e4, 0x9e4016fd, 0xd1539283, 0xc1d76f75,
+    0xc4a6f288, 0x727d8de3, 0x86b8fc9c, 0x2da2272c, 0xd1a03f16, 0x54a4a69a, 0x04b089ed, 0xa30ee244,
+    0x08256568, 0x4acae060, 0xa610feca, 0xc784a1a7, 0x6697479b, 0xeb966b7b, 0xea151ccd, 0x41697953,
+    0x1b368dd6, 0xf8589f84, 0xb164e378, 0x5194d95b, 0xcbaa7208, 0x8c1507bf, 0xbf89f3a9, 0x648440dd,
+    0x77869efb, 0x2f59bbb0, 0x8909bec2, 0x72b7a394, 0xa20e1e7c, 0x1307c30a, 0x7f759e61, 0x98403947,
+    0x50c4b6b5, 0x37e1c779, 0x31494660, 0x7fcc200b, 0x0ea8b27f, 0x24c80c9e, 0xe2a0789c, 0x08c9bb7e,
+    0xe6012995, 0xd5a34b24, 0x14aceb82, 0x4e48374a, 0x739629c5, 0x6f3e95cd, 0x34018672, 0x263847ad,
+    0x23712a6e, 0xb5d5f03e, 0x1d4ac4cb, 0x67ed3c30, 0x534b5f6e, 0xd26cae1d, 0xf0549b19, 0x27ff01f5,
+    0x21c6002c, 0xc4355936, 0x4e4a6446, 0xeb6647d8, 0xb099d271, 0xf422ff95, 0x266621b6, 0x722da697,
+    0x2abd57d3, 0xf016d9a4, 0x3d0f019c, 0x8ffac509, 0xdc91f9aa, 0x87c1568c, 0x271e2670, 0x4b764979,
+    0x1a109e0d, 0xd7228228, 0x49f2f0d7, 0x883352f6, 0xe412b071, 0x15bf263e, 0x94fb4577, 0x130cb296,
+    0x853206fa, 0xb64e53bf, 0xaf46fb2d, 0xe4caf5b8, 0x1e2c0fd6, 0x7acfd877, 0x442f2802, 0x06e7fb95,
+    0xb96135d7, 0x3db8d6ea, 0xabb77c39, 0x070e8c7b, 0x433b6e33, 0xc3f4e0b5, 0xc583b3e4, 0x6137c471,
+    0xafa13b3a, 0xaf9597b9, 0xbad600d4, 0x49a4a960, 0xf9e2675e, 0x90e34805, 0x6e200988, 0x7863e144,
+    0x09eaf767, 0x0d3955bd, 0xbd5a2544, 0x6b92e18b, 0x2b0ab277, 0x592699ca, 0x01709ff9, 0xd7f8c29c,
+    0x728df75b, 0xd4edb567, 0x8a679ff1, 0x5417b50c, 0x97c07f47, 0x7cc209a3, 0xa70eeba8, 0xcdd57d14,
+    0x00000000,
+    0x685eb0a0, 0x25f55b1d, 0xa8f9d1f1, 0x287ef4ee, 0x3c2ce833, 0xb5640417, 0x9d6a748d, 0x62aff1bd,
+    0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000201738271725539733566868685312735302682008\
+                         26506478308693989526222973809547006571833044104322501076808092993531037089792 */
+  { 0x00000000,
+    0xb3594cac, 0xd8a9460f, 0x4fb0316d, 0x1fdf3ed7, 0xb5f6e6a4, 0x8d4b6c54, 0xae5d535e, 0xd72d3c08,
+    0x8e1dca88, 0x8ed23982, 0xb696e270, 0xb95edcf9, 0x6ef40253, 0x5bd6f028, 0xeabae700, 0x33004f63,
+    0x66be282a, 0x7a0b3e89, 0x7fb11a63, 0x797b4cb4, 0x6168b998, 0x82694d30, 0x022bb760, 0x0d61f791,
+    0x005a1002, 0xa72be8de, 0x507d1d3d, 0xc5ed0620, 0x01c51e88, 0x24bd6886, 0xec17aedb, 0x2eb728fa,
+    0xcb5015f1, 0xa97a5280, 0x2190083c, 0x4af6db06, 0x33b4864d, 0xd23c7290, 0x017f98b6, 0xf7b3f369,
+    0x5ea2fc41, 0xf98e0e4d, 0xd467ffce, 0x8be19d92, 0x6b48dac3, 0xbf232bab, 0xf017c9a5, 0x96ab9ef7,
+    0x9b416688, 0xad14a4dd, 0xc80f68f9, 0xf643fe29, 0x636c1a6c, 0x9b614c53, 0xf0cda692, 0x78669bf8,
+    0xf7daf4b1, 0xae775762, 0xc83b3b2e, 0x109d59a8, 0x6f6ac603, 0xa6e2cd23, 0xb8b20da1, 0xa7f0e844,
+    0xe318ee84, 0x0d2cd62e, 0x0e9a1a71, 0x64266e5b, 0xe0dd94c1, 0xd7c4b449, 0xfdac0fab, 0xa12d7a8c,
+    0x050842f5, 0x71f76f0f, 0xd1a8a36e, 0x00975696, 0x7a8aa397, 0x19d0b6fd, 0x819c5bf4, 0x05072940,
+    0x994b8141, 0x3f7ce084, 0x09b78b05, 0xfd70cdcb, 0x1d7980f6, 0x844af682, 0x7e66df22, 0x16fde8b9,
+    0x2ca5e831, 0x202a9fdc, 0x6de1714d, 0xb52d19b1, 0x01b33b08, 0x1a648281, 0x78071929, 0x63bbc470,
+    0xc42a1686, 0x8f624d9e, 0x407b4aac, 0x59479eaf, 0x399cff1e, 0x56673a57, 0xb1603695, 0x747fc8d0,
+    0x9c4aa13c, 0xf97124aa, 0x2b01dbf0, 0xfde9518d, 0xb6ff1701, 0x07a04a81, 0xe245418d, 0xb69d1ade,
+    0x4629edb5, 0xf48ce1d3, 0xe78d221a, 0x5154ebc1, 0xb0b231fd, 0x93be63b5, 0xeea2972c, 0xd3d32285,
+    0x9dbad8a5, 0x88dc2f8b, 0x3beb455d, 0x89e3dbbc, 0x610eb2e9, 0x73ea0b8a, 0x08594e7a, 0x4594ce01,
+    0x077a073b, 0xb6fce323, 0xfc40dccc, 0x6831ee1a, 0x066b55d9, 0x7c702c01, 0xc2d321ec, 0xc382e591,
+    0x090097f2, 0x49224ae2, 0x36e649c0, 0xa22012dd, 0x348a20b6, 0x616e6938, 0xf5d8f4c5, 0x47b35eb5,
+    0x792dcf9c, 0x5c7f04e1, 0x62250d64, 0xe1a97bd2, 0x3b623122, 0x67562088, 0x546fadda, 0x5d7b45c9,
+    0x40b5056a, 0xe4aab091, 0x3c684c23, 0xf3e261e4, 0x5c52f3d0, 0xb3992931, 0x64940afa, 0x4bf80305,
+    0xf367860d, 0xd569fc77, 0x437800e2, 0xb0148d9b, 0xd46a4e33, 0x5c12f17a, 0x5e10d3af, 0xba1d8683,
+    0xcec38ff4, 0xa4a2eb9b, 0xe849a96e, 0xff1c86b1, 0x939a1d87, 0xa330fe4f, 0xed1c74d8, 0xb3707f6c,
+    0x44779d37, 0x93394b91, 0xfe1b6478, 0xc5ca9398, 0xa3bc0ac9, 0x519434d9, 0x9672752e, 0x35f4012b,
+    0xe1f66f01, 0xbc2af35c, 0x1d3b6e31, 0x710b0364, 0x742adcba, 0x6fbadfc6, 0x0ce36cc6, 0xcd72b109,
+    0xe9758d7f, 0xd350e517, 0x34f67086, 0x353d5f64, 0x353e1c8f, 0xd022252b, 0xf22db413, 0x679dafc8,
+    0x1b331e20, 0x11858d8c, 0x2d8dbf4f, 0xb7eb11ae, 0xf800fc4e, 0x2d7fe9ed, 0x91e6ed4c, 0xe667d1d1,
+    0xc7af9edf, 0x4b20d760, 0x11d2b3ce, 0xe7045558, 0xd693dba5, 0xd99cc96a, 0xe8dbe959, 0xb40a87a8,
+    0x827860c7, 0xc79ba67f, 0xba4796e6, 0x67871547, 0xf2346077, 0x8661bd1f, 0x00afd78c, 0x86a41c52,
+    0x8489ebd2, 0xb47dcdff, 0x79b5e4ed, 0xc8e35be5, 0x2c92c351, 0xa7f13902, 0x5eb7bfd6, 0x9ec898a0,
+    0x50a3cea6, 0x099d20a6, 0x429788d8, 0xce88263f, 0x900e6699, 0x3004e0c7, 0x673cd440, 0x3ed814b6,
+    0xec802397, 0x052c8b54, 0x639d987c, 0x4b27f9d3, 0x4ea7ffb2, 0x838cb7e4, 0x075d8f3c, 0xdc285392,
+    0xe2e8b839, 0xcc892641, 0xfeebaadf, 0x8f3f8f5a, 0xd0f8d064, 0xdbb75a61, 0x334c0f86, 0xcaf7491e,
+    0xaf35a4ee, 0xdfce3d96, 0x01496666, 0x302bc9d6, 0xe840cbde, 0x3d24e00a, 0x2ca22b34, 0xbd81e06f,
+    0x13317cf6, 0x13d4f988, 0xd34af0a5, 0x654957f3, 0xfcecf9da, 0x62410db6, 0x0cc39685, 0x5fd19da7,
+    0x12bbd85a, 0x7e170394, 0x5f8c1439, 0x34853d41, 0x6057fab9, 0xd8a4c3c7, 0xab5f793a, 0x205c571b,
+    0xbb198549, 0x6d6026e5, 0xb08f4a80, 0xf76d6d77, 0x1c4a951d, 0x893dbc0a, 0x49191489, 0x190ce815,
+    0x91b706fb, 0x3f164b45, 0x0afa5ce3, 0xd6190331, 0xa326fd34, 0x79c7d486, 0x6efdd99b, 0xc78a614f,
+    0xc68dc9b1, 0x576b7851, 0x698a779c, 0x64cd5f55, 0x85823d06, 0xe266a9df, 0xcf8d6053, 0x36df13a0,
+    0x21ad7a6c, 0xb71dd9a6, 0x61fc77b7, 0x5ecd2a80, 0x0397a9c6, 0x9fab5a8f, 0x94bc4472, 0x710827f2,
+    0xc3a49bff, 0x50b51310, 0xde094022, 0x97a10184, 0x6971d7a3, 0x0812bc4a, 0xe7af46b4, 0x8c3775a2,
+    0x6be4abde, 0xc661428c, 0xd554970f, 0x94e46e66, 0xd573aed6, 0x2d6f2d14, 0x8eda7aaf, 0xfd075fa4,
+    0xfb32308b, 0x07b4628d, 0xd2b00a05, 0x0d760797, 0x969822bb, 0x0b1d92f5, 0xcd9dc42f, 0x5ea41719,
+    0x9cf3b13c, 0xff3d329a, 0x8f86224d, 0x8c4d22b5, 0xb46a82d9, 0x0966c094, 0xf11f25b8, 0xfd0b73c9,
+    0x0a6cb6c8, 0x1239323f, 0xfe8e1431, 0x43508771, 0x9c4a9fa1, 0xc4214580, 0x09e8bd8f, 0x8188aee8,
+    0x9ef0f8a5, 0x454b37c6, 0xc1ff6675, 0x60efa879, 0x39030825, 0xca5dcfd7, 0x9bc104ec, 0x203d4555,
+    0xf14be01b, 0xd7747bf0, 0x3a07bd5e, 0x6ba7d389, 0x68fed5d4, 0xc3aa72db, 0x937dc2a3, 0xd57f3301,
+    0x5a85f534, 0x006ec8ff, 0x5c8a1336, 0x214af49e, 0xf2bbf191, 0x4fd6b05a, 0x29d1937d, 0x4f59f806,
+    0xc835335f, 0x2dec0842, 0xc2773065, 0x5ab85f85, 0x475a39f4, 0xb5268357, 0x26f14dcd, 0xf38cd8b4,
+    0xddc19243, 0x0cae1044, 0x656d6fbf, 0x30ef78c1, 0xb6e88e4d, 0x0e9118b2, 0x73c77c9a, 0x479c57c7,
+    0x235c1b61, 0x638d7a8a, 0xabbf70cb, 0x60601b11, 0x9f0eee27, 0xb9ce41fd, 0xdb2fd4a5, 0xd425e9b7,
+    0x700f4d52, 0x52ce05ca, 0xdcefd31a, 0xbaae44b9, 0xde410c93, 0xb29f6a52, 0x8d84bee4, 0x6061a836,
+    0xccbf3280, 0xdc8964b5, 0xfe504af6, 0x41e18bba, 0xb7924eec, 0xdeba3990, 0xbc29c2d3, 0xe22497cd,
+    0x461c9868, 0x2fa6aa0f, 0x7254ec99, 0x72cf7b3c, 0xaaddb1bd, 0x0c2c6b26, 0xc233502e, 0xae58317f,
+    0xce5a9d50, 0xe7bcd299, 0x12cdb314, 0x9d83ff61, 0x5b8c155c, 0xf94dfc81, 0xfa1d406d, 0x00b467f6,
+    0xae77d8a6, 0xc02d7f60, 0xe6cc9c3c, 0x39c10601, 0x202ba059, 0xaaaa315f, 0xf8e156cf, 0xe35774fc,
+    0x431bfac2, 0xa6e87b6a, 0xe3001708, 0xb25a1278, 0x23c91d0b, 0x40664f63, 0x70e2e8cc, 0xf94c700f,
+    0xf57a6df9, 0x2fe0354c, 0xec5cbb9e, 0xcd94001e, 0x7b3517b1, 0xd52cc09c, 0x84eb41be, 0x2f79d1f4,
+    0xfd8c1128, 0x3d135556, 0x2a88d343, 0x0f3e8d84, 0x9f1a963c, 0x6d5b615b, 0x59e728e2, 0x1cf41636,
+    0x982ee1ba, 0xee796e90, 0xfbe56643, 0xb81e5b27, 0x8df7162b, 0x2e93b433, 0x84481cfb, 0x6d3b7d70,
+    0x5f62ac6f, 0x2e426a18, 0x186c01b3, 0xce2b8aee, 0xd28450a5, 0x05ea25d1, 0xa412ad84, 0xae6e883f,
+    0x1159d3b0, 0xe38727a0, 0x37c497f8, 0xbdbc8057, 0x0cccc85d, 0x437adb52, 0x34298419, 0xe3ef7625,
+    0xdd24b09d, 0xd2475d8d, 0x3e9de423, 0xf274693e, 0x85c94953, 0x32550c60, 0x054082e3, 0x509fac5f,
+    0xd41c662c, 0x8455ed29, 0x617b77f4, 0x63abfd50, 0x6d1c39cb, 0xa996c850, 0x3690e0af, 0xae5010bb,
+    0xa666bb31, 0x56b1a2fd, 0x3ef0f9cd, 0x906f9132, 0xf0f7450c, 0x2c1924a0, 0x38500387, 0x82ca89e4,
+    0xeca8ce9e, 0x5bea3345, 0x1e22eee6, 0x1a0b7f01, 0x983af68a, 0x732e5873, 0x02490b0c, 0x75f23b99,
+    0x90c389a6, 0xc2c53b42, 0xd2edfebd, 0xe69ccc7e, 0x2248255c, 0x16c2df0e, 0xb4e578d6, 0xfbe53c6e,
+    0xef286e19, 0x825a2d49, 0xcbd5fd4e, 0x3dd3d84a, 0x0296997c, 0x826511a3, 0x74f920dd, 0xbb890819,
+    0xd2da3a40, 0x27ee60ba, 0xf62d7381, 0xbbd123d3, 0x4e2c8870, 0x74971f8c, 0x26c5964c, 0xf33373e6,
+    0x58df7292, 0x4ab72df3, 0x07585905, 0xd79fc434, 0xf0f1eafb, 0xafe510bd, 0x9628add4, 0x848d688a,
+    0xc790699d, 0xbd9f50a5, 0xba6c29df, 0x05c45b7b, 0xb303aec5, 0x2df9a412, 0x46ac7e80, 0xd604e68a,
+    0xf9d70753, 0x6fd9f121, 0x7d3b63c9, 0x5fafbb8b, 0xa9fd85e6, 0x47b763db, 0x922f509f, 0x18417f4e,
+    0x6081e153, 0x06b8463f, 0xfed7706c, 0x9cdf56c3, 0x862d85f4, 0x46eb7ef9, 0xab69c3ec, 0x08b86ba4,
+    0x1c33460d, 0x2dadbdff, 0x6838344f, 0xfd41d68e, 0xb44e447d, 0xac9db741, 0x90f8a9a3, 0x7d3b8536,
+    0x8d750d88, 0x233c7d11, 0xa6007c11, 0xd7d462e4, 0x7edb91a8, 0xa88c9d06, 0x1fb576a0, 0x779ed7d3,
+    0x26adb955, 0x86a81430, 0x1e86e93e, 0x4ee8f18b, 0x65e294bd, 0x49ace365, 0xdcc4e51a, 0x537b4090,
+    0xd5e45fe5, 0x59c0c4c2, 0x36c250bd, 0x3cd2c8a7, 0xb807edb7, 0x4fdf1020, 0x2894e228, 0x74b22c98,
+    0x6d6cee02, 0xda8d85c5, 0x2bbce00c, 0x32caeeb0, 0xc3573a29, 0xee3514e6, 0xa1332db5, 0xcab2e7f8,
+    0xf804174b, 0x1b700db8, 0x2d3a70ef, 0xcd0f8069, 0xa51fac19, 0xdb5f6348, 0x858db858, 0x990e764b,
+    0x5725126c, 0x9b5f4e09, 0xb1ca321e, 0x2de04cdc, 0x437bf68b, 0x5dea68e2, 0xbeec9560, 0x370ff0ab,
+    0x4a59e8e8, 0xf40c16e1, 0xa33ee832, 0x3996d442, 0xee92486c, 0xa4781aa5, 0x2d6e234c, 0xfd27b32f,
+    0xcfec9811, 0xd6b93664, 0x49c95ca2, 0x6bd9e0aa, 0x0d45dcb7, 0x2dc6b812, 0x0c5172d8, 0xdb1f2c5c,
+    0x60ca3102, 0x6e615320, 0xaafa45ae, 0x93629465, 0x445447fa, 0x0d2d5cab, 0xc726c7dc, 0x929b8308,
+    0x664d4a38, 0x5ae5a405, 0x315add4a, 0x8c330243, 0x0a84a4e3, 0x2f89d8f9, 0x35283f86, 0x0e1a5953,
+    0xa8c32c4a, 0x75cf8a42, 0xecb71756, 0x900e4095, 0x574968f2, 0xb95808b0, 0x607e63aa, 0x836cb4ea,
+    0x3a3ddb65, 0x5b9a24bd, 0x1795be5d, 0x43712e5e, 0xcc36d543, 0x5976462f, 0x124c7ad6, 0x29aa561d,
+    0xb5fd77be, 0x322f564f, 0x323bc63c, 0x5393b25c, 0xf4edc53f, 0xdce40c33, 0x1e721ca5, 0x5ca4d312,
+    0x6b18c448, 0x736efe6f, 0x11e31bd3, 0x53b7b1fc, 0xa7167501, 0xfc0b0c42, 0xd75679ad, 0x8afe0263,
+    0xf1cb9e0c, 0x7cb9d010, 0xc8b2de9c, 0xeb7f585c, 0xe5b8b50c, 0x3dd104d4, 0x563827bf, 0x5c3fe042,
+    0x3d36ec24, 0xe066d273, 0x1af96b32, 0xf2de8e3a, 0x9d858766, 0x5de54c16, 0x0fbad275, 0x1f436251,
+    0xa205f05d, 0xc65fc091, 0x6768ea7e, 0xfba06b60, 0x4c68f1c0, 0x3be1a101, 0xa4d594a6, 0x35453965,
+    0xda6223d2, 0xcc896546, 0xfb9b57bf, 0xe19b86dc, 0x121af2dd, 0xc5ab500e, 0x8979f10e, 0xe6ce0e9a,
+    0x05b38632, 0xfc32d57a, 0xd526eb9f, 0xfdb069fd, 0xd20cb85c, 0x20bb8b7a, 0x9bc77a2e, 0x340f88df,
+    0xa4d79a96, 0xd77a73bf, 0x69f04b4d, 0x69fe36bf, 0x477f7dfd, 0x81bb2b41, 0xad59caa2, 0x5e9e2a1f,
+    0xf0b47ee2, 0xd0fe7c66, 0xab3f4ace, 0x5ded3d3a, 0x84071ec3, 0xf9f77f4b, 0x63285e92, 0xcd92983a,
+    0x37e6224c, 0x42429c4f, 0x49af193f, 0x69406b71, 0x4bbbc0e4, 0x47344f9a, 0xccdd7bd5, 0xafb79719,
+    0xc32a0e9d, 0x70770eb1, 0x57bc2fa4, 0x8740d6c3, 0xaead605c, 0xbd96ea12, 0x7a082d84, 0x35f2af02,
+    0xba22276c, 0x7f33beae, 0x4ce96909, 0x1170f1b8, 0xe11fbb41, 0x21c290f9, 0xbd658f6b, 0xc43706b4,
+    0xe9576c07, 0x4c2b33e4, 0xd32317c2, 0xe116834e, 0x3e9e0f75, 0x3dedfb1c, 0xba6a5451, 0x89f65a92,
+    0x551ef59c, 0x0f18536b, 0x62aaad91, 0xda6cfd5a, 0xc41a29b3, 0x0faca5e9, 0x00c89915, 0x5a85a7a1,
+    0x5e69b40c, 0x084ae98a, 0x9a76155d, 0xc117c268, 0x8ab6b55f, 0x480fda0a, 0xa3510ed3, 0x712cb69b,
+    0x2cb0a6f7, 0x038b66cb, 0xfe252c0b, 0x3b3d06cf, 0x95a04675, 0xf117ecb8, 0xa60b87ed, 0xfb8b01d5,
+    0x94ba53f7, 0xc8d3913a, 0x968e64a7, 0x49ccec23, 0xc0cac9d6, 0xcd0611b6, 0xc04e7a49, 0x6dfe2628,
+    0xd16b210a, 0xf681dd25, 0xcf144a61, 0xc1cbffe8, 0x475a46f7, 0x3d26ac3a, 0xb47ae734, 0x140350e0,
+    0xd230bf7d, 0xba353e9c, 0xa8569204, 0x5ef4f269, 0xee67a57b, 0x0fa8f8f3, 0xc4f61541, 0xb862d8f3,
+    0x7243fba9, 0x28f9f195, 0xaf47e526, 0x64a85504, 0xaf78bc0c, 0x68d85d04, 0x4ff1f928, 0x8e7a02cd,
+    0x478e4411, 0xbb5e7f6c, 0xfe01cf82, 0x2fb5ce2e, 0x14b7fb32, 0x3f98ab9b, 0x4520aadf, 0x1ca84cef,
+    0x538434e1, 0x14317f9c, 0x91922410, 0x4d7e3e38, 0xbcfa14fc, 0x745dc9f8, 0xd4900e74, 0xb286008c,
+    0xceb0f39a, 0x11074609, 0x47d42e13, 0xcfcf8eb7, 0x38600750, 0x62cd309c, 0x3a1adf10, 0xfdb8b492,
+    0xdbd6179d, 0xf8b9931b, 0xe87c3ca6, 0x4d072f6d, 0x31995431, 0x80e57049, 0x5a75dedd, 0x1b53bd28,
+    0x72f58a87, 0x7c49463b, 0xde34368c, 0x701d91b2, 0x1876e627, 0xa8eeaf6e, 0x8c0b8446, 0xc8a7ca86,
+    0x22de8cb1, 0x75e75818, 0x51018b59, 0x7b15b395, 0x8eaf66eb, 0xb1edbb06, 0xd7795764, 0x1f945ecf,
+    0x65c7d7bf, 0xf1270cb1, 0x551b6587, 0x04b230e9, 0x0f21deef, 0xe209c859, 0xd831bbe4, 0x9d1c3058,
+    0xc87d4d75, 0x0907fd0b, 0x4c511245, 0x76e61618, 0x34cc454b, 0xa3ee68f7, 0x5e345fb3, 0xa2451113,
+    0x4b7365a2, 0xbbee1417, 0x4fa4aa6f, 0xa56357de, 0xa2b030c8, 0x4e68e57e, 0x0e34ec0c, 0x708797ba,
+    0xac832b39, 0x68870d5a, 0x962aa8cc, 0x05fba7ca, 0x568e6407, 0x7fa61ded, 0x1316a8e5, 0x5d2f6529,
+    0xf0d2ace2, 0x309a1d47, 0x956fa346, 0xdb922117, 0x1888117a, 0x71c6369c, 0x98c72f39, 0xac180f68,
+    0x8d1b674f, 0x470b1b39, 0x7c01ebc0, 0xf2b68c58, 0x58663adf, 0x3eaf7557, 0xb2a4e5e4, 0x5d6d88c6,
+    0x28cc2045, 0xe9348127, 0x29c11b73, 0xf20bec41, 0xb32b2e5a, 0x85ec3a63, 0x0fcaa62b, 0xc92260a3,
+    0x06cac831, 0xce5e1ce8, 0xf85c54be, 0x27d54a94, 0x06f7141a, 0x0b12a6df, 0xdba3a2d8, 0x2badbec5,
+    0x1451958b, 0x0b9aba87, 0x2eda182d, 0xa507debe, 0x27a93d05, 0x731502dd, 0x816691ab, 0xc2ba8eef,
+    0xd6065650, 0xd58eee48, 0xb0a72b34, 0xf50cbb4b, 0xb92b6470, 0x4ae47047, 0x6336dd34, 0x5672fef4,
+    0xd93e5bf9, 0x4e256229, 0xd02c69ec, 0x51bd2291, 0xace7f465, 0x7f905e92, 0x9b775128, 0xc6856b5b,
+    0x6f0e8bc9, 0x2972549f, 0xbe517666, 0xd46a9e70, 0x2f71ed80, 0xd610080a, 0xae5c2fe6, 0x61964f6e,
+    0x8a9bf339, 0xfba5b70c, 0x06964af7, 0x18920b2e, 0x0a1d7087, 0x849d48db, 0xf1cf9c29, 0x7454c816,
+    0x85551bb2, 0xedb4e27f, 0xd9413069, 0xd3c2c8b0, 0xfe56e998, 0xe4f873d5, 0x8e1a09dc, 0xc69506b8,
+    0xf1765391, 0xdc867385, 0xd98aa9ab, 0xe0efa4f6, 0x3f52fb64, 0x2fbffd11, 0xceebaef4, 0xe58cf5a3,
+    0x00000000,
+    0xb42f584f, 0x92faad8e, 0x547ce8f8, 0x943f7a77, 0x9e167419, 0xdab2020b, 0xceb53a46, 0xb157f8de,
+    0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000100869135862769866783434342656367651341004\
+                         13253239154346994763111486904773503285916522052161250538404046496765518544896 */
+  { 0x00000000,
+    0xd81883d1, 0xfdce2d41, 0xd1410b0f, 0x28469cf5, 0x8b5bd614, 0x3946f0fe, 0xc9753c41, 0x2ed72b25,
+    0x7af40d58, 0xd39db81d, 0x1ac4735c, 0x43ff1faa, 0x868494f3, 0x57ab61a8, 0xddbf1271, 0x7db615db,
+    0x68033bdd, 0xc4509a2f, 0x47a9275c, 0xf766cbee, 0xcb260cad, 0x5df6df16, 0x2d548669, 0xaa9d448c,
+    0xaf76f28e, 0x7ff9e7f0, 0xdfa22576, 0x6361ff6a, 0x2ea0db15, 0x2529cfa9, 0x72481e64, 0xe20682af,
+    0x9b771a24, 0xdce8cec5, 0xfe2b33f6, 0xd837be6e, 0xc0c4f4c3, 0xdb706e51, 0x3865befb, 0x1eb3cb17,
+    0x91025610, 0x9108a6d2, 0x746ddb4a, 0x4a51be9e, 0x3aed4f19, 0x0f0f9b7b, 0xdc7abb9b, 0xff47b7a2,
+    0xe1a0d2fd, 0xb2f004bf, 0xb71a31e7, 0x4906491e, 0x0d52c065, 0x79873cfc, 0x57ff1ce9, 0x5df0062a,
+    0xd6942d9b, 0x8e2c5be1, 0xe6019941, 0x4e88c5c4, 0x5f78b070, 0xc203cb0c, 0xea57532f, 0x3acb91b9,
+    0x1cfb0526, 0xc87a4d05, 0xfd97f43e, 0x08483a95, 0x36008bae, 0xe595e9bb, 0xb88d567a, 0xf89f4001,
+    0x18e63247, 0x828e83af, 0xb13e5fb7, 0xc3e3285d, 0x1174ff52, 0x1b4d7960, 0xbb5fe412, 0xa1412191,
+    0x7deb7f42, 0x387ae9e9, 0x4df551be, 0x710f893f, 0x5f6ce014, 0x44c51747, 0xcc1cbda9, 0xb20387ed,
+    0xc9cb3da6, 0x9d58dbb8, 0xc234cee3, 0xb0332941, 0x957c59ab, 0xaa54594a, 0x7ee3f6e1, 0x92f80486,
+    0x64263654, 0x8888d85f, 0x63ee8599, 0xbb5a2ef0, 0xd01f98ee, 0x40c39b21, 0x8ee2ce47, 0x65f6d1cb,
+    0xaf5f5a0d, 0x93fdb33b, 0x3dc38b98, 0x122513e3, 0xe474903f, 0x8d8a921f, 0xe36b977a, 0xb49401b6,
+    0x62a4e485, 0xab4b0b93, 0x2b6361f3, 0x1d0e98ab, 0x136d2e87, 0x0282ba66, 0x653bdea7, 0x1f3d831c,
+    0x43eda65d, 0x9bd69d0d, 0x5a6433bc, 0x63ffa655, 0x37d5f758, 0x0d0b1b94, 0x7397b2c8, 0x63432b51,
+    0x2ee43906, 0x18449a13, 0xb8597abd, 0x9ab6a90a, 0x1c4100ab, 0xaa87fbdb, 0x8e86fa03, 0xf73d9101,
+    0x25bafd96, 0x56745719, 0xce2c0028, 0xb25d2062, 0xcc6260b0, 0x4fb88e34, 0x814dee99, 0xe6c6a36c,
+    0x54a52c75, 0x1f3237d2, 0x1754cbf0, 0x617b6394, 0x7dc60988, 0x3d93b3b4, 0xf3f14a93, 0x9d534def,
+    0x8a5d69f4, 0x0d0a3cd6, 0x8ab1c3e3, 0x0d844d99, 0x3c2e65ea, 0x427391d2, 0x77d745e3, 0x00ca58da,
+    0x4d35a0b2, 0x0db28b0e, 0x897c0f1f, 0x230c35cb, 0x28c892a1, 0x846ecc7e, 0x75451410, 0x47389982,
+    0x7db88856, 0x821f17f1, 0x1dddc61e, 0x2d80ada6, 0x92df7c08, 0x35e15ec9, 0x3cc95fb2, 0xf55dcb94,
+    0xa0246db4, 0x821a70b6, 0xdc35b5f6, 0x9c06f792, 0xdc0e0dbb, 0x05e4292e, 0x0f68dd0a, 0xbe03e498,
+    0x43465eb1, 0x52cacb8a, 0x979ba9c0, 0x882f0740, 0xc857e123, 0x782975d0, 0x68e6dd89, 0x05130ad4,
+    0x760fcf72, 0xc922ea0d, 0x40d3074c, 0xa28fc459, 0x7b12e162, 0x474290e7, 0x4aef7d2f, 0xd0aa1625,
+    0x4f282fbb, 0x25bcefc3, 0x2e2ea1ca, 0xaa6c6706, 0x37563e0f, 0x7bd7898f, 0xe2fc3458, 0x2267e594,
+    0x97c9a1e1, 0xaaddbc6c, 0x425e6b75, 0xfeffde7d, 0xdab64318, 0xe7eabe96, 0x4a433486, 0x5fae9e72,
+    0x56a15d3b, 0xfbb49a4b, 0x4e7b7ada, 0xb091b39d, 0x1f788e61, 0xb74155da, 0xa2179f3f, 0x454b5ff9,
+    0xbf287bf0, 0x420528d0, 0xb17346d4, 0x5e3d4b1d, 0x2d116c01, 0x1ca3b35c, 0xc21881a6, 0x30347fb7,
+    0x8e1e878f, 0x66a05d55, 0x3fa2ce7f, 0x2eea8ac8, 0x9e7d7f34, 0x1ae0ebbe, 0x6a65c955, 0x24539b81,
+    0x5bf3a618, 0xcd0c990e, 0x92ae25f6, 0x8c2f21ee, 0x470be69c, 0x604ecf78, 0xb632fb3d, 0xd99561b3,
+    0xea35737b, 0x174fad50, 0x9a31a4ba, 0x816058ad, 0x7408e00f, 0x60279430, 0xf9a828e9, 0x0b58c250,
+    0x72ccab4a, 0x1bc7e10d, 0x07f68192, 0x1e539ac7, 0xc8e900f1, 0xf67c13f2, 0x761cc387, 0xe54ba948,
+    0xae3b884f, 0x18359043, 0x03ad9110, 0xad077a5b, 0x98772311, 0xd9e69ddc, 0x0ccd9738, 0x795aa520,
+    0x862f0161, 0x71788948, 0x447d475b, 0x85fd404a, 0xbed5d268, 0x871a6dc5, 0xf27cf34b, 0xb2139308,
+    0xc65f609e, 0x38479867, 0xf6ce94a7, 0xd55c126a, 0xf2e13eab, 0x0bde7476, 0x25cc402d, 0x9c4188b3,
+    0xd7a38100, 0xc227a8bc, 0xaba38597, 0x7efbc89e, 0x956c3dcf, 0x827b4a7d, 0x77966bda, 0x713f50f1,
+    0x6b6bfebf, 0x55209f5b, 0x6e053166, 0xfa6a1b19, 0x169d437b, 0xffc5f53d, 0x215a97c3, 0x0cba6c32,
+    0xdc0f4393, 0xea7f0f07, 0x9253b85e, 0x21e8d65b, 0x94b7767f, 0xa2afe1a5, 0x955749bf, 0xa9c10aac,
+    0xc0ad6dc9, 0x1ebcc9e4, 0x6077f049, 0x1bf0774c, 0xe6c206ea, 0xda856e3f, 0xb8e6f590, 0xab83afab,
+    0x6d236b09, 0xb1fdf098, 0xf7ea5cd1, 0x78fe0576, 0x32229560, 0x6ac3cdb2, 0x7ec281c2, 0xb3f1e7fa,
+    0xa14491af, 0xa90770ee, 0xfc34c54a, 0x38d69463, 0x57e518fc, 0x33505f0f, 0x9f23db8e, 0x529a2e79,
+    0xaa3dacff, 0x63a0b95f, 0x77f152bc, 0x6b233fc7, 0x8b6d5b21, 0xa2b0e8d1, 0x984799b6, 0xdeab96c6,
+    0xad192879, 0x7e8154d0, 0x766c53f2, 0xbc98d68d, 0xb705d976, 0x1ba720d4, 0xe884e8b9, 0x4d9f5954,
+    0xcb39a567, 0x28adca5c, 0x9a02cb71, 0x1f1e4240, 0x33ed0f3e, 0x78c2ffeb, 0xc16a0be6, 0x9a9d1b2a,
+    0xcda243be, 0x7d13bee5, 0x32e8734a, 0x0a97b970, 0xf5f690c7, 0x82b48053, 0xc71f31f4, 0x4a39795b,
+    0x0d403de5, 0x7105561f, 0x7596a68c, 0x3c2114bc, 0xc5428e57, 0x4ca47e32, 0x1a535b21, 0xd2013f05,
+    0x7d4b01a4, 0x46b2ee85, 0x7d7e5307, 0xe146bb94, 0xe45119c1, 0x03ef9606, 0xf2cf810f, 0xd7865a7b,
+    0x18ce9f63, 0x01fadb3d, 0xf8f57c53, 0x20d50d70, 0x4afb5c1a, 0xb66e10fe, 0x07db595d, 0x2f22debd,
+    0xecb1781a, 0x1d842f94, 0xe6001a15, 0x53eb2aa3, 0xa7655232, 0xb31fe33c, 0xa35a9004, 0x351d0d25,
+    0x6f6f217e, 0xb6b29a76, 0xe5b28d84, 0xf96d4dc7, 0x8b3ab167, 0x25927854, 0x06baeb5c, 0x11219e48,
+    0x824f2d89, 0x14d91be8, 0x6ff191e6, 0x4b446538, 0x60a3af12, 0x3f05ce7a, 0x105b7440, 0x3a4f6753,
+    0xa2d4ddc5, 0x2a6a5eaa, 0x72fd3acf, 0x30269720, 0xafcc70ba, 0x146ac0e6, 0x8aa3157b, 0x565782e5,
+    0xfc39de7e, 0xf92c3ee6, 0x12bea85e, 0xb8150d7f, 0x205ae548, 0x8717077a, 0xae70e31a, 0xa6100c71,
+    0x9d6c70fe, 0x7a30fa95, 0x72182857, 0x9101ed84, 0x7d59bc65, 0x68792b74, 0xc0ef7f7f, 0xfde30b13,
+    0xa0c51dd7, 0xa0294df8, 0xa49fd936, 0xe60f32e1, 0xd416201e, 0x3bb9781a, 0x424ba4d6, 0xf2718022,
+    0x9d727e1d, 0xa34a4589, 0x68c3dba5, 0x6696b1e5, 0x7d87c925, 0x15d99e90, 0x39c0c1ef, 0xf0e1f6c6,
+    0x152b9640, 0x2fcc706f, 0xb76d7ae3, 0x4f2f88b2, 0x1931e19d, 0xeb9ed2f1, 0xb337db25, 0x220f1278,
+    0x35ed5804, 0xb7c3e2c3, 0x474b65f6, 0x389cdd43, 0x390efde7, 0x15bcc064, 0x12298c2a, 0x613e2cfa,
+    0xc559ff0a, 0x15367d18, 0x00d63395, 0xb17e520d, 0xd68fc5d9, 0xbebb577f, 0xad6b5437, 0x53517e5b,
+    0x45f838f3, 0x3c63162c, 0x2797376b, 0x22ced487, 0xbf860e63, 0x95f1b111, 0xd2b0f7cc, 0x905bedcb,
+    0xcf6bc536, 0xfd64fa37, 0x3c9c9398, 0x22230a9b, 0x74ac1703, 0x8e916330, 0x9766ab37, 0x5855a8c5,
+    0x689a9e67, 0x57f86faa, 0x7681fc43, 0xeaf36397, 0x85865b85, 0xeb97b243, 0xa924c729, 0xd6ab2464,
+    0x20ec339d, 0x36f77ab5, 0xf954e8ff, 0x09d97bc4, 0x30dd8ea9, 0x7eb03e48, 0x63540273, 0xa9d63336,
+    0x8efde802, 0xe99c5e35, 0x28a43ab8, 0x4a519743, 0xe1f1a4a2, 0xf3b34ee8, 0x5022acc2, 0x2748670a,
+    0x1410015d, 0xa9b58b6e, 0xbdd7d18e, 0x66100c2a, 0x726b6361, 0xe395bce1, 0x0e96c260, 0x45ab5282,
+    0xdba74aac, 0x65773e84, 0x4a191566, 0xa3053a29, 0x34abe139, 0x252cc44a, 0x62ba27cf, 0xdaea0176,
+    0x42222ba8, 0xd0f006e7, 0x924246ee, 0x0cf935be, 0x40488f07, 0xd105b2fb, 0xabcfbe30, 0x20cb9591,
+    0x07695dd8, 0x0bc1c1ee, 0x09f45c68, 0xc0712286, 0x510e5c59, 0x694b9b8a, 0xaa4f4a06, 0x6db33f6e,
+    0x5083764a, 0x2087bed2, 0xea6d589e, 0x443bbd09, 0x996bfb50, 0xf6ae0205, 0x858809b1, 0xaec4362d,
+    0x6c1f8298, 0x5b42173e, 0xe6f02c44, 0x9f2900b2, 0x59cc5ede, 0x3d16dbb8, 0xbb364b4b, 0x7701759c,
+    0x3778de13, 0xc0b07f2c, 0x9c939f0c, 0x0f2f0d75, 0x0006d806, 0x9d2f51b2, 0xe3e3e261, 0x61be3a04,
+    0x8734a990, 0x9ca557e1, 0x1305340a, 0x9b5a3283, 0x153bd6f6, 0x5af597a4, 0x1ad0fef6, 0xe8aa32f5,
+    0x151eb6f8, 0x6723c73b, 0x16871b63, 0x99d9c91d, 0xc6adc6b8, 0x56be782e, 0xa28bb4a3, 0x2547dd34,
+    0xdec16697, 0x2d02d132, 0xf4497304, 0x224c000a, 0xcb2628d9, 0x3d299b94, 0xdd9f7cdf, 0x5cb049c4,
+    0x76a7ea9f, 0xb26246d9, 0x4d37f92d, 0xdec0a180, 0x649ea0b6, 0xbb1202c1, 0x78ac4e5f, 0xd0c6e476,
+    0x3fe7c585, 0xb1bb9212, 0xb44c9062, 0x3ebedd05, 0xc2038aab, 0x7f89459c, 0x19e752ff, 0x875180df,
+    0x504a8dee, 0x52488bad, 0xd7b4795b, 0x17248731, 0x20bffdab, 0xc6185966, 0x8c7fa55e, 0xec202896,
+    0xbff9ce0d, 0x4e55226c, 0x679c6a35, 0xaffa3e4c, 0x322091c6, 0x914d8537, 0x5b59992b, 0xe9683ab7,
+    0x3d0ff988, 0xd2432956, 0xd7e47a1f, 0x457c0309, 0x01048785, 0x37da5a2a, 0x98ac2ebe, 0x1448c91c,
+    0xede93bdb, 0x8ad13284, 0x5bd6351a, 0xae11a0d3, 0xb1907af9, 0x258c5197, 0xdc805681, 0xd3a6d9e4,
+    0x96d7fae3, 0xe45eb449, 0xebaadfb0, 0xd4b56f5b, 0xb0c00422, 0x9bfe4409, 0xc3741273, 0x180668f9,
+    0xac275cba, 0x42944bb6, 0xbe522524, 0x3d011f08, 0x7846036a, 0xf7490fe4, 0xf4806921, 0x06b05289,
+    0xbec02270, 0xf0bd9edb, 0x4daadea2, 0x094cd4c5, 0x44ae2f14, 0x03448914, 0x9ece8166, 0x10e82e9f,
+    0xd1ec554e, 0x7ec89fe4, 0xb8363e37, 0x60110645, 0x8b07600a, 0x82323917, 0xa6257c2c, 0x42974bd4,
+    0xa75636d3, 0x3a9a81f1, 0x454d4a11, 0xaf723959, 0xd6af6f78, 0x559eb12f, 0x8fa28182, 0x85791ce1,
+    0xad12de05, 0x2e771932, 0xe6fe333d, 0xda65c4de, 0x925157bc, 0x1b53e243, 0x6443ef12, 0x2c8dbe43,
+    0x025ff75a, 0x00aa094b, 0x331989c3, 0xc1300f0a, 0x95bfc22b, 0xb70fd1fe, 0x0df23c4c, 0x11c8da9e,
+    0x63103c97, 0xa9cf9fa9, 0x97d46e18, 0x7c3421ed, 0x9150f6c5, 0x519eb8a1, 0x9195eb80, 0x653e4ef5,
+    0xc4686296, 0x9b2f7201, 0x42090ec9, 0x588efd25, 0xd01044ea, 0x2ece2bdd, 0x138c83b4, 0x0a54fbd3,
+    0x6c423172, 0x8666ca82, 0xf148c984, 0x48cded43, 0xadafb07f, 0xfe7cff89, 0xef63f989, 0x823db4e8,
+    0x626ea74e, 0xcc62c01a, 0x5451edda, 0xedb25a89, 0x8685aac4, 0x4388d6af, 0xe82ba2b1, 0x5c533400,
+    0xbba7ae3f, 0xc68056b1, 0x5092e08f, 0x5ab1a677, 0xc0e02c91, 0xc9ead36e, 0x22fd7fb0, 0x8e8f19ef,
+    0x51b3fd03, 0x18049fa1, 0x91e2676b, 0xca766c08, 0x29eaec99, 0xdf62ad87, 0xc8cb3438, 0x2f6b1944,
+    0x20c1b891, 0xaa7b235c, 0xda14510f, 0x2d5d7f50, 0x31b112fd, 0xa5b8c423, 0x28e1d101, 0x76884fa6,
+    0xab134581, 0x19f66940, 0xe02d4a4f, 0xa435ee75, 0x60bd21be, 0x3a25596b, 0x10d58a4c, 0xf21bec53,
+    0x93e327f3, 0x2dfea6e0, 0xe78febad, 0xfc552742, 0x1f060511, 0x5edc09eb, 0xf7fde447, 0x9b7d72d6,
+    0x498d1071, 0xc75d3210, 0xc1a56b7a, 0x11793afe, 0x0a9da9a9, 0x1afcc0b2, 0xab49e6eb, 0x3abecf1b,
+    0x046a3e39, 0x6a0ab2cb, 0xfc4d23a4, 0xb61f45a9, 0x9883553b, 0x1c3a6a56, 0xd4b03800, 0x7215d2b2,
+    0xebc9b8e7, 0x01834441, 0x98ecbab4, 0x74e1dc78, 0x2b575250, 0x0f6632c0, 0xa59d7efe, 0xfaa1c69a,
+    0x827e69f3, 0x049713e4, 0xb4751b6e, 0x8079f20a, 0x9b219935, 0x901244a4, 0x54bff059, 0xad36b7f1,
+    0x842ddfe4, 0x3d3bc36b, 0xad588644, 0xc723379f, 0x356b9350, 0x060f1e16, 0x8d90c3ed, 0x288370db,
+    0x937accf4, 0x5f230d45, 0x48f84254, 0x43319a6f, 0xfae8bb61, 0xe000f413, 0x711a36e0, 0x5e63876c,
+    0x8ea185c9, 0x74590dbc, 0xb7e6a03d, 0x04783dec, 0xd9d08dd4, 0xfa8a167e, 0xa5f9ec86, 0x25e61dff,
+    0xf5c7d8b8, 0xd1d9a83d, 0xc2b8117f, 0x973b975e, 0xdc705aee, 0x1daa859c, 0x64ac9789, 0x3fdaafa7,
+    0x28624606, 0x212e68c3, 0x4074baa7, 0x716fc204, 0x7f8a7141, 0xeb1aab1a, 0x9505bd9c, 0x0b44f389,
+    0x84655b5d, 0x9394ab99, 0x12fcbb51, 0xf91c0e91, 0x0e0f2216, 0xdf591097, 0x26624964, 0xc92b2c4e,
+    0x416672dc, 0xb655f085, 0xca5f4b37, 0x4d7a753a, 0x3ec03dc1, 0x95e38719, 0x5ca86d2d, 0x6bf430fe,
+    0x543af6d3, 0xa8119716, 0xe8a87b3d, 0x20a3a9e0, 0x15dc9a78, 0x4a2326e9, 0x234d7322, 0xd984faa6,
+    0x38fe984a, 0x2e0f61f6, 0x145badc6, 0xc2e5ffc5, 0x74647e99, 0xa65a4eca, 0xb9796b3b, 0x983f630b,
+    0xd2f010c2, 0x16314351, 0x0f867402, 0xf747cdaa, 0x2ea7f7d3, 0x2d7393b8, 0xfec554f7, 0xaf6f745a,
+    0x1b5e17c2, 0x7ef62f62, 0xa1d7449d, 0xd8c5065c, 0x3e2d35d5, 0xf0a2b5f1, 0x6325015d, 0xb60a6899,
+    0x4c754aa1, 0xc73c68a4, 0x28b6cc15, 0xe38f00ad, 0xc656712f, 0xdc95a99e, 0xd0ef27ee, 0xb7106509,
+    0xdc2ee798, 0xabb5fcd7, 0x3a80dd64, 0xda6826d8, 0x2c3096bb, 0x8bc3cf87, 0xf22678e2, 0x93d4c83a,
+    0xc7610544, 0xd4856782, 0x62618eee, 0x98154f90, 0xe4be1c1b, 0x9e881bac, 0x316dfce3, 0xa2807f27,
+    0xce5cae43, 0x5336e39f, 0xf6b33c55, 0x31d014c8, 0x8f97f70b, 0x5212d505, 0xd1bcec63, 0x2e7b24bf,
+    0x6ef64a01, 0xbe80d9f9, 0x272384d0, 0xf7f70ff7, 0x464518d4, 0x0f602294, 0xbd669c4a, 0xe8985810,
+    0x8cff1472, 0xff4851cd, 0x5aeb895a, 0x97ed0581, 0x82b81816, 0x5f63f493, 0xe4e9e0b4, 0x40faecb6,
+    0x4acdce9a, 0x48f99eb4, 0x9980621b, 0xe7fd1b0e, 0xf09e0944, 0x039eb1c7, 0xcb1a6668, 0xc59c6660,
+    0x1d433df0, 0x1929bd70, 0x782dc80a, 0x1931831a, 0xb5f41261, 0x4a640a4c, 0x3d2b7f0e, 0x479a5e63,
+    0x830833d5, 0xc279d515, 0x8fce6643, 0xf5231c57, 0xc28d75e4, 0xd0725220, 0x064f4abd, 0x77f54fbb,
+    0x4fb5f717, 0x1eb0c740, 0xcf87807a, 0x914e144d, 0xf2c78c86, 0x41cbcd47, 0xf20b138a, 0x924bcc71,
+    0x8a53cb7f, 0x0d71db0b, 0xa7fc6610, 0xca2ca162, 0x3973a896, 0xa365fe7c, 0x322f7907, 0x7a5297b6,
+    0xeae442f4, 0x31bbfad8, 0xf7dafe75, 0x983532a5, 0x739c09d3, 0x546c43da, 0x6276576a, 0x21d685b2,
+    0x72a5223c, 0x3e8e46c0, 0x802a6868, 0x92c11ee0, 0xff1eb795, 0x65462682, 0xf59ffb2d, 0x306fe94e,
+    0x511f6157, 0x06097ce1, 0x559c3d14, 0x0ae0b7a0, 0x6e2f9de9, 0x321efff7, 0xe910fe14, 0xab69c672,
+    0x00000000,
+    0x5a17ac27, 0x497d56c7, 0xaa3e747c, 0xca1fbd3b, 0xcf0b3a0c, 0x6d590105, 0x675a9d23, 0xd8abfc6f,
+    0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000050434567931384933391717171328183825670502\
+                         06626619577173497381555743452386751642958261026080625269202023248382759272448 */
+  { 0x00000000,
+    0xf53b4db8, 0xfb7929d3, 0x331fc6ff, 0x2e421987, 0x4eeb3da3, 0x3fa2da28, 0xbeae4acc, 0x8240ceb9,
+    0xabf42885, 0x6a284974, 0xdab9f9e6, 0xd6ea577d, 0x712968cb, 0x4e6071a0, 0x344208f0, 0x85434e60,
+    0x55ce5ad4, 0x04f4e68b, 0x0d5851c0, 0xc0117901, 0x2438b996, 0x1f2382a5, 0xd1bdc6df, 0x5fe7b43b,
+    0x3eea9914, 0x5e830c71, 0x325602a2, 0x8744e358, 0xf760f757, 0x25d19a90, 0x17c6b309, 0xf56edbea,
+    0x15f76702, 0xf1af0da1, 0xef4eefa4, 0xc8fdd900, 0xb6580ebb, 0xe5623167, 0xcbacf9f2, 0xf3d82e0a,
+    0xd574d2a4, 0x4e0ba388, 0xea3e77c2, 0x28266fc5, 0xe264d14a, 0xef9a0cf7, 0x1f2841e3, 0xf032d4a6,
+    0x0fc45c5a, 0x17727645, 0xb382de0c, 0xdada4ab8, 0x4fa44b43, 0x273c519d, 0xbe7ae12b, 0x9be7ab6f,
+    0xf0801fe2, 0xc3ee397f, 0x4fcc0936, 0x2e36207b, 0x36b0f774, 0x2f9979a8, 0x72ce1e66, 0x2bc6d03d,
+    0x57453108, 0x7a5dcbac, 0xfc1d9b5f, 0x470d9364, 0x10a10c77, 0x336607a7, 0x8ee147c9, 0xc6a58aa2,
+    0x1def2906, 0x54b6fd41, 0xe46f80b3, 0xaa59e6ce, 0xa3ea3e40, 0xcb80660c, 0xeb45883c, 0x89558955,
+    0x62267d76, 0x0b448a29, 0xfc087b11, 0x88dd0f6e, 0x17eac77e, 0xce9870b5, 0x5920f69c, 0x2204444e,
+    0x75ca32ca, 0x016eaea2, 0x6261d52f, 0x14944b6f, 0xb41f5126, 0xbd253ff9, 0x11270c24, 0xefbfd644,
+    0xbfe2ef9f, 0x0ea7e6a5, 0x26f4487a, 0x9eb72059, 0xfea7e79a, 0x6bbf6b3a, 0x86f61a60, 0x804bfc31,
+    0xa9a38c4f, 0x650b8f0b, 0x8fa33e6e, 0xaafc6570, 0xd0bb6e53, 0x1fdc6f99, 0x27342416, 0x6d8e920a,
+    0xb89229d9, 0x6fa4be95, 0xcbfd7955, 0x78f97bff, 0x6f04810e, 0x520a28e0, 0x89e1acd9, 0x312e4d30,
+    0x6d61f91a, 0xf363bf2c, 0x3cf24f93, 0x765ce201, 0x94838cfe, 0x38c71ab7, 0xfee90a31, 0x7bfe73ac,
+    0x15d13234, 0x6909c686, 0x6ac995f9, 0xca40acde, 0x22e92e3c, 0x33d4ea0b, 0x49957565, 0xfeee7120,
+    0xc9216c09, 0x96656961, 0x4635a858, 0x932f412d, 0x5978eb29, 0x8174088c, 0xc277c781, 0x45797b05,
+    0x7793f623, 0x83c68207, 0x4693d40c, 0x48332b1d, 0x778113c7, 0xe0727071, 0x4b8e999b, 0x5a6aabbd,
+    0x1fe8b5f1, 0x9604f440, 0x5d0cf1ef, 0xb7afd7c3, 0x42646b48, 0x3cadc717, 0x331d9512, 0xfee404d0,
+    0x7914dcf1, 0x2a2199f8, 0x85e0521b, 0xdf311181, 0xe0cb677d, 0xccab4e88, 0x00061b81, 0x50df8c69,
+    0x9275d737, 0x09669a6d, 0xed3a6cf3, 0xc13b225c, 0x8b166446, 0xfe7555fc, 0xdf045c06, 0x84e9d2a6,
+    0xdf6c016e, 0x383467f4, 0xfc60c9e8, 0x2c51cf99, 0x486bb594, 0x9f4ee9ce, 0xbe39fec4, 0x274b35cc,
+    0xe848b55e, 0x343f9427, 0x7299d77f, 0x69835e26, 0xfaf3d749, 0xab3bf549, 0x80309839, 0xeff93d4b,
+    0x98e9b139, 0x448b5f71, 0xafd2fdef, 0x736d30b2, 0x66afa450, 0x9b7d0c38, 0x45606904, 0x0f262057,
+    0x7679e15c, 0xa1b90912, 0xe997ff92, 0x3df62c3c, 0x21cc3fb8, 0xbb4dbb71, 0x71c6163e, 0xff286f1e,
+    0xc2c36aaf, 0x8caef6a7, 0x959f7fd7, 0xc9501782, 0x2b4c9650, 0x4b84570b, 0x617ae656, 0x82157535,
+    0x80a06009, 0xe51d81ea, 0x958a2652, 0xa6a48b01, 0x64f842d8, 0x4bea5a86, 0x1bf7b342, 0xb98ced4a,
+    0x212725e5, 0xbfff1f8b, 0x8fc7516e, 0x8a296ca5, 0xa4baf8c4, 0x60e70f9d, 0xada329e4, 0xc5bbdf75,
+    0x446feedf, 0x3ac3b2d1, 0x5b256669, 0x07769bcd, 0x55ca2e85, 0x39d839ff, 0x7833e991, 0x8a60193f,
+    0xe8b63e79, 0x919a0eeb, 0x6fad60f7, 0x3b84ade4, 0x6d09ea9b, 0x9d4e0252, 0x8cc380bb, 0xfda8dcda,
+    0x1d3e473b, 0x85e9929d, 0xb179e12b, 0xaac100fe, 0x683f6711, 0xa86b0e20, 0xcfb5da37, 0xc8e6d5ad,
+    0x78a6d5da, 0x179b0653, 0x0fe75e4a, 0x1702e416, 0xf768c05a, 0x4fcccaa7, 0x218901ad, 0x98b3b656,
+    0x877e6f30, 0x1a2a20be, 0x6137911e, 0xaceb30b3, 0x8a3e1db5, 0xd2af1a00, 0x8f8bd3a2, 0xfabea5d1,
+    0xcff33cf7, 0x8b06ce44, 0x78ecc35d, 0xb78ab33f, 0xfdc18e20, 0xdf911322, 0x2fbd6b19, 0x098e5d75,
+    0xcb1de62e, 0x92973620, 0xead4b2d2, 0xd34e7cb4, 0xd185fae2, 0xba020ed1, 0xe0445af8, 0xfe4cd88e,
+    0xc8ddcbe0, 0xc03acd06, 0x76072d0a, 0xa4d5c7d0, 0x32932005, 0x08037cde, 0xae02ac91, 0xce46c9bd,
+    0x9eeb08cc, 0x35790967, 0x71914d7e, 0xca3c4805, 0xf30ff0fc, 0x4a5a2dbf, 0x7cf7b744, 0x7fb6a4bc,
+    0xc4447aee, 0x44685032, 0x2ca4e271, 0xfc5bb9f2, 0xbc7af908, 0xbc8542af, 0xc925db8d, 0x3168bf2f,
+    0xcc12bb67, 0x7145d6cc, 0x3b174206, 0x0b277e8c, 0x513fba3e, 0xab18cc31, 0x0315e58f, 0xa3a05e97,
+    0x0bee3e73, 0x4c5546e8, 0x2ce10edb, 0x9a50891c, 0x296d2b2a, 0x313ccbc0, 0x2e43fa92, 0x3101afb7,
+    0xb978896b, 0x52d1842d, 0x56347032, 0x63374d9e, 0x3c0d8a6c, 0x721fa32c, 0xb33937ec, 0x7efd5ba3,
+    0x76ba6041, 0xb7921578, 0x17900e6e, 0xa463f758, 0x28b2f9da, 0x853f4439, 0x287403a4, 0x72b0bf28,
+    0x43ee2d9f, 0xe69bae8d, 0x8fd34d09, 0xb1b99abe, 0xd6fdca78, 0x4b4b53c1, 0x7af5114a, 0x34a9f663,
+    0x0ae96dd1, 0x30b94179, 0x54f2c058, 0x3d60d8e1, 0xf92e5019, 0x0fa620a5, 0x1c2e2c1f, 0x6e553aaa,
+    0xdb645c57, 0x551e0a5a, 0x21df8246, 0x263b9d6f, 0xf9d02dfa, 0xc9898df4, 0x404f2350, 0xcecf006f,
+    0xe5fbf7bc, 0x9a3118fe, 0xba5376cc, 0x794c4468, 0xe12f945b, 0x3685388e, 0xf031c4c8, 0x6048c1f0,
+    0xc7547510, 0x68da1e2f, 0x8d5818e4, 0x0a24526f, 0xb0a10bb0, 0xeb88ee24, 0x4f8c0f4e, 0x000d7fc3,
+    0x044cf821, 0x6a0ae3ed, 0xc7f77b8b, 0x8ddff78e, 0x3922927d, 0x95a5cdec, 0x36bac6ac, 0x63ac0acb,
+    0x40980021, 0x564a6a48, 0xc3a3db14, 0x1b9f4823, 0x1a758e96, 0x91dc1f17, 0x5a4833b6, 0x463a9070,
+    0x3a1405ff, 0xb89978fa, 0xdf943ab9, 0x39165359, 0xcb0c54c1, 0x95721eba, 0x3c34ad9e, 0x9a37cf84,
+    0x7ffb4e23, 0x6827e1b4, 0xc21babfe, 0xb2f472ab, 0x592e63bc, 0x28b95cd8, 0xcd5c95df, 0x0809d352,
+    0x7647df78, 0x5b2c7501, 0x5d009c0f, 0xda8b895d, 0xc52bc1c3, 0xf6a4e6a0, 0xb1a268ec, 0x646c84a1,
+    0x6dc4bcbb, 0x7a9ad6f8, 0x6e1f5342, 0x983b70dd, 0x5f5fa01b, 0x83b64f63, 0x200d4ea5, 0x74e69809,
+    0xbfa26c47, 0x9941f0ae, 0x5098f9e6, 0x2a90c501, 0x1da08e01, 0x3548a325, 0x7f8d798f, 0x007c4c91,
+    0xa8353a74, 0x1740dd74, 0x0452fe72, 0xafd40fd3, 0x80d3fa14, 0xc5f0d0e9, 0x23fbb340, 0x828fa693,
+    0xd5e59181, 0xef636812, 0xc5244495, 0xa7ee960f, 0x453667da, 0x2974f24f, 0x9d87be72, 0xeb4f0bed,
+    0xbbfbc729, 0x96401741, 0x8163b479, 0x89a25ee3, 0xe9224385, 0x82f8b30b, 0xe4751458, 0xd2390b73,
+    0xea3cdd90, 0xe92dd3e3, 0xc6c6f26b, 0x68f41015, 0x60929290, 0x663ed8b8, 0xaa87aa8f, 0x2e5bab40,
+    0x40f81df0, 0x91c93af5, 0xe3747e58, 0xfd08082e, 0x8ea0d034, 0xd68da40b, 0x92841a13, 0xa9bb732f,
+    0xa53d6f12, 0x803c6e5f, 0xc75cf1db, 0xc01fc02b, 0xcbef86e7, 0xe5ff0b8f, 0x18d281ff, 0xdc89c6af,
+    0xf94d1f4c, 0xea1ab789, 0x0e9c9b29, 0xebd62c01, 0xbf090420, 0x7cf84c3d, 0xd3e4ce83, 0x40912c7b,
+    0xb1599fea, 0x6d172e02, 0x196724de, 0x8415e697, 0x297e1eb6, 0x099e14d1, 0x08accfa8, 0xcecc0e80,
+    0xb0164e5f, 0xf9f6ada3, 0x9745274d, 0x12214dc3, 0x9256b31c, 0xba55fc6d, 0xf5d45f72, 0x7e7206c4,
+    0xe396ab62, 0xe1060520, 0x807ebd02, 0xbe4e74ef, 0x3e43855d, 0x7009f836, 0x6547ed29, 0xc65e3c72,
+    0xa95564a7, 0x6a18e208, 0x9205cb9d, 0x66ec2ca0, 0xdc108790, 0x51ee360b, 0x19a9274e, 0xe65b7b12,
+    0xf870d08e, 0x85442557, 0x43d2d7de, 0x3bd73b03, 0xa631bd99, 0x30d4e83d, 0x80c26ccd, 0x5dbedf78,
+    0x6e7002eb, 0xb4ea6e1b, 0xd6832fcf, 0xc71c7fad, 0x7ff103d7, 0xd2a15190, 0x24d21cf5, 0x6727a32a,
+    0x88a4a8a4, 0xd55407a3, 0x84aad759, 0xe7ebe996, 0x7b2d8c27, 0x99408e12, 0x453bc418, 0xb87fa5b2,
+    0xb859aa3d, 0x138ca012, 0x1f209365, 0x6d05e781, 0x9c7c161f, 0x0ca0f2e6, 0x17906c20, 0xb1d8af79,
+    0x4afde3ae, 0x340f3d0f, 0x9f7cc4a4, 0x8f6d3972, 0xe1b0f32f, 0xdc41918b, 0x84d0a40f, 0xe1fda7ae,
+    0x285969fb, 0x319916a8, 0xe5dea265, 0x92e249b1, 0x90076da3, 0xb39d3abc, 0x92aeb68a, 0x70682b89,
+    0x6affe735, 0x2a4fef36, 0x59eb4102, 0x06158a7b, 0x5fb63ef7, 0xeac56d3a, 0x9587b1c5, 0xef589f90,
+    0x2252b849, 0xd70c0ae2, 0xe2c3fedb, 0xe8e9ff53, 0xd3f9e3ce, 0x538cf35d, 0x3ea79c88, 0x592d5e86,
+    0x10e99857, 0x5027d33c, 0xfc5d0ddd, 0x420fc8bd, 0xe0c78bcc, 0x669a762a, 0x09f92d47, 0x2954b560,
+    0x799fafdb, 0x2b7040b3, 0xa56ee519, 0x5620b4d8, 0x9beec665, 0x3a0c00da, 0x94f6100f, 0x57685b66,
+    0x68ce4471, 0x16697eeb, 0x30fafa5e, 0xc3de2541, 0x7678b446, 0xb7cf5aeb, 0x8389154b, 0xb5c746bd,
+    0x71552b6c, 0xa00704fe, 0x75268ec5, 0x093c854f, 0x02e9f673, 0x3a50d519, 0xcd5d92bc, 0x317682ba,
+    0x01e9e460, 0x743bc0c2, 0x3a2836b5, 0x2b0613ce, 0xdb2008b7, 0xdc6915dd, 0x85329edf, 0xcf502bfc,
+    0x495a3f3f, 0xb8f71104, 0xdcbd5df8, 0x1dae6f3e, 0x12e8f746, 0x9b1bda2d, 0x14928455, 0x2b98bfa7,
+    0xd49551d8, 0x90529c18, 0xa0ab05ef, 0x2cc73934, 0x2e9822dd, 0x4305ce07, 0x389beaa2, 0x5b105700,
+    0xe0461de9, 0xffd8ab21, 0x9fc7cd2f, 0x55c160cb, 0x0a2bb15e, 0x67be8ec4, 0xae90b979, 0x73d60192,
+    0x4bb7104a, 0x9e3173a0, 0x95c7622c, 0x6a075449, 0xd8b1157d, 0xb5afd06c, 0xfb29127e, 0x6f7359f5,
+    0xddd66a06, 0x9bc520b6, 0x235dbe05, 0x2cdbd41c, 0x8b2bdb10, 0x11fae2ca, 0x5822006d, 0xaf1a8c7c,
+    0x8c532962, 0xd8b0c00c, 0x2af0f3c9, 0xeb6eb7a5, 0xa33ab024, 0xab445453, 0x3eabd271, 0xe254708f,
+    0x0b305c42, 0x946911da, 0x2e2a2535, 0xf61ba18c, 0xd32c27ea, 0xbe581755, 0xf71574ed, 0x14e6abf2,
+    0x25e0481b, 0xc775b1d4, 0x954db738, 0x3196f37b, 0xb392815e, 0x00ef22f1, 0xfb0478e1, 0x1dc43a72,
+    0x3cc27ff9, 0x11733af1, 0x62b4aa19, 0x151e6ff0, 0x8a6930a3, 0xd0f3389c, 0x19ac2e7d, 0xe3c4d26a,
+    0x1187647a, 0x83f6bf13, 0xa7337335, 0xabac40b7, 0x370e9ccc, 0xcf236910, 0x5ba8d886, 0xd1893fae,
+    0x492a5435, 0xcc97970b, 0xbe0b0e83, 0xa62ee0ae, 0x620edc82, 0x094fb210, 0x53c5ef37, 0xe25ea393,
+    0xf2314ff8, 0x8ab4209d, 0x15802c7a, 0x577a7b68, 0xaf5de6e9, 0x6862ebb1, 0x5301b48f, 0xfee47ec2,
+    0x884ef97e, 0x0c43d980, 0xd5c93e94, 0x9e880377, 0xcee591ff, 0x6725e403, 0xb856f7df, 0xb2757832,
+    0xa6bd9807, 0x0fffca36, 0xcd30dc56, 0x269995bc, 0x69a42b0a, 0x470d32f4, 0x6b502431, 0x3f3d5924,
+    0xd941ef0a, 0xd536cfe7, 0x4eda9195, 0x536d2961, 0xa1c57a80, 0xb55b5be0, 0x8b178228, 0x81b7546a,
+    0x0af49ce8, 0xe1747148, 0xc7f58256, 0x0bcca57f, 0x8b3b8935, 0x20cb3bb9, 0xc462a9ca, 0xd22c1d55,
+    0x9875d16c, 0xfeadef00, 0x5e2d2ea5, 0x0bdd55c6, 0xae3d5d43, 0x7daf4bd5, 0xae58d50c, 0xea5b9228,
+    0x7ab66b44, 0xbee656fd, 0xd45a2dcd, 0x78baf222, 0xcba2a962, 0x1d16aa19, 0xc757ba23, 0x59a85114,
+    0xf3fc9c32, 0x4ee1208c, 0xc2ae4f35, 0x040ba72a, 0x55afc725, 0xbd1594a3, 0x4aca7e11, 0xca3b38ac,
+    0xc9ef041c, 0x45bcf440, 0xc8c157e8, 0xe2e7790a, 0xacad22cc, 0x7fc86b87, 0x549651af, 0xaee5327e,
+    0x34ab9f32, 0x44541d14, 0x2022cce1, 0x702a5089, 0xd51ac01a, 0x7e18fd35, 0x700e7c5d, 0x1a54b669,
+    0x58b5254c, 0x7a485704, 0x12662469, 0xbe3c92bb, 0xe5d9cf32, 0x4fc75a77, 0x4fa5d987, 0xa9aac6c5,
+    0x3d3c383e, 0xbc6ac534, 0x3e6d7f0d, 0x7dd1822b, 0xec7c584c, 0xb72fc1ba, 0x8907e651, 0xf4dcec70,
+    0x5b30699f, 0x111613bd, 0xc3ad468d, 0xddd3c3de, 0xd70f5cdc, 0xc0ef8dba, 0xd00f1d7a, 0x1fd6673c,
+    0xc984fe25, 0x3c8f0e70, 0x1530af48, 0xc8150699, 0xdf09a75c, 0x9dd925f6, 0x83dd67c4, 0xbfbbecd0,
+    0x82681979, 0xff199e0c, 0xb4da51df, 0x1d7498d7, 0x355c2638, 0xeb74769d, 0x4832773a, 0x672d6b7a,
+    0x2f6bdd6e, 0x06214dbb, 0x3bc533df, 0xeb34fc72, 0x73d3cca5, 0x6ad92c9c, 0x31935573, 0x96c1b3b9,
+    0x5c00574e, 0xc6fea8e8, 0xca3d2a1e, 0x1af00d59, 0x52606591, 0x27bd1220, 0xc8d00f68, 0xa71a3bf7,
+    0x29608d39, 0x8a548850, 0xa2bc85a1, 0x704b2266, 0xf43d1874, 0x439a10f9, 0xd2557853, 0x3adbd27d,
+    0x2a5571d4, 0x5f76ef6c, 0xe9d0cf84, 0x4a67307b, 0x67a6c2d7, 0x19171eea, 0x32336866, 0x739e41d6,
+    0xb71c9cba, 0x3d919b03, 0x5dd87942, 0xd47705d5, 0x0574a913, 0x0a7e6934, 0x4adf2d20, 0xb38ea111,
+    0x7b80aeeb, 0xcfc702a7, 0xb58c34c4, 0x83940595, 0x83abfcff, 0x70b59924, 0xf61b87c0, 0x4d6b1050,
+    0xb2b33c55, 0xf61fb401, 0x6730f866, 0x1db38c55, 0xa085451e, 0xc4665a2f, 0xc64d177e, 0xc8e57962,
+    0x156606cb, 0xfd247334, 0x8156d3aa, 0x4933cc73, 0x1ae8c470, 0xd62c7e3b, 0x54c84f05, 0x38296ca5,
+    0x754eefbc, 0x7286b845, 0xd69b49af, 0x765da514, 0x3a7271b4, 0x63c18006, 0xd4f1a62f, 0xf761dcf7,
+    0x0254a064, 0x8455f4fb, 0x321a2521, 0xa96ebf67, 0xeb8ea6f1, 0x342dc2ab, 0x08c51d54, 0x94d97073,
+    0x10549585, 0x348d1e1a, 0x8046c314, 0x0ef51033, 0xe294040a, 0xf23894d6, 0x9eac03f7, 0x65b63546,
+    0x6b0bf119, 0xa9772df4, 0x6b2b09ce, 0xd247d99c, 0x8f215ddd, 0x4ee1f1a1, 0xca2e765b, 0x8f630a12,
+    0x05623687, 0x009b5c88, 0xc83332f4, 0x4bb19436, 0x43045995, 0x9188b739, 0xbbc8987c, 0x07ba10b7,
+    0xd1b254f0, 0x03b43127, 0x06dfac81, 0x234dd836, 0xe1d34939, 0x8e9440a1, 0x9c0b595d, 0x82435f8e,
+    0xcd094270, 0x8490c23f, 0x61712abe, 0x413e671c, 0x49e9096b, 0x0446b363, 0xcb8d4ada, 0xc86f58ae,
+    0x6d34bae1, 0x4c172a26, 0xbf4ac46c, 0xf834b8f9, 0x498abbcb, 0x4e39b2b2, 0x480dc99f, 0x3333ebb8,
+    0xb4354e6d, 0x7e2c626b, 0x10067100, 0x39748d7a, 0xb46dca17, 0x6d7f7553, 0xc09caf77, 0x2a744964,
+    0x9a410099, 0xd4f85fb0, 0x851f6bae, 0x4cca2e52, 0x3dd37651, 0xe050ede6, 0xfdb3473f, 0x658d8ea2,
+    0x925af6ba, 0xfa038cb6, 0x6c6f42e5, 0x38b5be09, 0x8f885845, 0x97b93c83, 0x04ee99c5, 0xbcaf9168,
+    0x35d724ec, 0x07febc90, 0x8206eb00, 0x0febcb51, 0x97542838, 0x8a79bb1e, 0x5da69ba0, 0xa927feef,
+    0xcbce1f0f, 0x9fb6aaa2, 0x562945db, 0x80c27673, 0x7359705f, 0xb1aedc5e, 0x6d02a927, 0x941fe3ad,
+    0x00000000,
+    0xad0bd613, 0x24beab63, 0xd51f3a3e, 0x650fde9d, 0xe7859d06, 0xb6ac8082, 0xb3ad4e91, 0x6c55fe37,
+    0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000025217283965692466695858585664091912835251\
+                         03313309788586748690777871726193375821479130513040312634601011624191379636224 */
+  { 0x00000000,
+    0xfe8fb83a, 0x2d1d5c00, 0xaa1dfd15, 0xb4bbf89a, 0x64a7829f, 0x5d73af32, 0x856d8e15, 0xc8f806c5,
+    0x2e2a0058, 0x29e66c2e, 0xe40a4b2a, 0xccbf4a9a, 0xe3166fb7, 0xac68a423, 0xbb175bb3, 0xdde21f5f,
+    0x9969ca53, 0x8565a5b0, 0x5fe7921c, 0x6ea6ad60, 0x397d09d5, 0xbb4c0bda, 0xb03c98e6, 0x90e0b8b6,
+    0x8c160665, 0x16bf1be0, 0xfdf98334, 0xe7f4df32, 0x357de03a, 0x9f64c396, 0x034bc25b, 0xecfb0a70,
+    0xb2e2e867, 0x88f19c9e, 0xfa5d8f11, 0x7577de90, 0x13d25efa, 0x71813cbe, 0x9ecfe822, 0x552c58b7,
+    0xa243c64d, 0x6bfb381a, 0xb2406645, 0xc6bbc4da, 0xa608de7e, 0x27ddab00, 0xcc0f944b, 0x77160615,
+    0x92174772, 0xf25a6d76, 0x8b730803, 0x9179f85b, 0x39c49841, 0x1cade493, 0xef459e2e, 0xd3cf12c6,
+    0x7f75b3aa, 0xce267061, 0xcc74c0ec, 0xd799c269, 0xf908617d, 0x88aa474a, 0x570faef9, 0xf2381d2b,
+    0xe4f91450, 0xce7d0540, 0x7ed9350b, 0x5c73ca81, 0xe1f951d2, 0xccbafb9d, 0x759fc804, 0x8be09ee8,
+    0x9d9a23fa, 0x5cf9ba9d, 0x5724662b, 0x5d5777b2, 0x637e5419, 0xb857c66f, 0x68235ce6, 0xa947488a,
+    0xc1d97529, 0x9f8d39ec, 0xa8d88d45, 0x76eb948b, 0x7ab57625, 0x8b08c5b9, 0x4b65b1e7, 0x08d77490,
+    0xf4e1ff51, 0xeee5e251, 0x6fec00f4, 0xa949966d, 0xaeff9f65, 0x418586d6, 0x6159c10f, 0x03f52b74,
+    0x2aa60858, 0xf07f9e2f, 0x70cc06eb, 0xe3ca0e65, 0x22927c08, 0x9b324879, 0xf9cce614, 0x1aad9645,
+    0x391a97b2, 0x8ad2ce79, 0xb259dfb4, 0x4819f9f1, 0x339aba8d, 0xfa8b5f8d, 0x5b3553ec, 0x670b76bb,
+    0xd2e08063, 0xf86b5803, 0x6eef7be8, 0xbfc3e2f2, 0xa75b9de9, 0xed0211b3, 0xe5ed64b0, 0x5368438b,
+    0x3b95b563, 0xce17d257, 0xcb0d81ba, 0xd66a077d, 0x99e72b80, 0x463116a2, 0x519b2443, 0x35de4397,
+    0xe3cb28de, 0x5f13a2e1, 0x520aebee, 0xbbe9c3d4, 0x047ba601, 0xef8e94af, 0xa607f82e, 0x1c572fed,
+    0x3302e310, 0x2362dfdc, 0xfd75c3af, 0x001004d4, 0xaf6f36d0, 0xc80ee5b6, 0x5b17444f, 0xc24e6401,
+    0x0c122a12, 0xe398ae59, 0x07ddc108, 0x11284412, 0xa4837cae, 0x0507ccdd, 0xd43504b5, 0x410c23da,
+    0x17bdca5d, 0x03266b02, 0x836504e1, 0x3e79dc31, 0x535c9b75, 0xfec720c0, 0xbb9837af, 0x710ea8d9,
+    0x8b3cf5f7, 0x4c40a0d7, 0x849afc6f, 0xfdcfabcd, 0x8f88da16, 0xd67cba05, 0x0963eba3, 0x1045f8dd,
+    0x2af97349, 0xddeca0fc, 0x63089749, 0x509d6732, 0x34a36b6d, 0x9e7baecb, 0xb21ced41, 0xb83df169,
+    0x3355c9b2, 0x19dc9848, 0x42a5c135, 0x5cd0f312, 0x8b945406, 0xafa64629, 0xd5b94997, 0x9533be35,
+    0xfd69594d, 0x3d4fa39b, 0xf9b06790, 0x86d9e35e, 0x66d7976e, 0xde4e7706, 0x52f4fba5, 0xc03c66b1,
+    0x50f3d793, 0x9820a2f6, 0xced08c3d, 0xb3168747, 0x3b5ac26c, 0xd511c7f7, 0xbd90d79c, 0xe9d8ff3f,
+    0x9a15afe6, 0x0a84b4d6, 0xaadeb526, 0xad16fae1, 0xa805bfff, 0x009ff680, 0xa2c293ad, 0x8fb24f6c,
+    0x806c5158, 0x8bf6597a, 0xdab03a2c, 0x2defaf85, 0x160c85e7, 0xfc533923, 0x9276bbe2, 0x9407ecf2,
+    0xfb7f2fd8, 0x727ccd45, 0xe8ad9f60, 0x90b1a9d3, 0x985ff0b1, 0xf462029c, 0xb33a21e4, 0xe14185dd,
+    0x9b41c71f, 0x902637cd, 0xedf3f028, 0x81557ac8, 0x8462b9a7, 0x4717e71b, 0x3f0a3c69, 0x54f193fa,
+    0x3312b7a9, 0x16539eca, 0xfcad441d, 0x0bf644cb, 0x947b5026, 0x772695f1, 0x14631a36, 0x3ffb784b,
+    0x3fb34f0c, 0x23d0a204, 0xb49f225b, 0xc5ff2359, 0xb0812996, 0x59c3fbf1, 0xd22c01b2, 0x966f7914,
+    0xba4c73e6, 0x07fef59c, 0x4cbd200d, 0x64dc37b2, 0xe64094ad, 0x5ce5234e, 0xf1e4b45b, 0x3942530b,
+    0xa1e8edd8, 0x85502997, 0x91b98ea5, 0x4f153097, 0x349d5af0, 0xb4df9ed6, 0x653f1efa, 0xb8a8c718,
+    0x13ddb9f1, 0x2d6b2189, 0x7ad7d8d9, 0x08d92d14, 0x7888a66b, 0xc3727aa1, 0x7a0a041f, 0x0ac38277,
+    0xc46dfc4f, 0x19d4f8b1, 0xdb4e673a, 0x388d2478, 0x55f59156, 0x44a0bca4, 0x7bd2bd17, 0x0ef20da8,
+    0x458be8df, 0x4b1c90ca, 0xcba9c6d3, 0x3f70284e, 0x78ea6fe7, 0x9e63cc7b, 0x27b61b52, 0xb7b1a6f4,
+    0xd4f993fe, 0x09d21850, 0x7009fc45, 0x544409ef, 0x8f432328, 0xf92e313b, 0xdde4586f, 0x4fb4511a,
+    0x8a8ef56d, 0x2d1da41f, 0x24311abf, 0xa0da631d, 0xb82e1ae5, 0xdd1f739e, 0xda0bd9de, 0xdadcb6a8,
+    0x68411cb7, 0x1ab9602a, 0xeae1d337, 0xb2d9e931, 0xeae38dc3, 0x6e5ed9da, 0x6849a958, 0x33e3f054,
+    0x29aec009, 0x7291005a, 0x96739364, 0xd71c1699, 0x9bdddf3b, 0xcec906d0, 0x59860fd7, 0x2be8bc23,
+    0xbc01a6b1, 0x93ad2f14, 0xd3a92afb, 0x9cd41030, 0xffc376ed, 0x4b8162c8, 0x9eb72f84, 0xbe211191,
+    0x9f99e7af, 0xebd2a814, 0xffaebec6, 0xdd4cb871, 0x67e2ca0e, 0xbc0a5f96, 0x6a728b3d, 0x5d85a420,
+    0x95f64b3d, 0x649487aa, 0xf09ef676, 0x85bbdcbb, 0x84d2048b, 0xf5e28e7a, 0x3dd1ad20, 0x80db0a8f,
+    0xb4f5b0ee, 0x271b196b, 0x6dc24fa3, 0x016a01be, 0x7df1d756, 0x4518468e, 0x9de9d5e1, 0x4364eeca,
+    0xb5ec86d0, 0x9b4c8304, 0x92ab5c5a, 0x568cd3e7, 0xa23491d9, 0xddc053db, 0x55146eda, 0x468bfb8d,
+    0xeccd3ee2, 0x03fade2d, 0x658c0100, 0x539c78cb, 0x88d32a77, 0x214d4987, 0x4c854de6, 0xfaba5669,
+    0x302c2e38, 0xc8b9f8af, 0x7a5c65ec, 0xf7b6ebe2, 0x6c540c86, 0x78f47bb6, 0x4dd3b49a, 0xea711ab3,
+    0x5147cf2d, 0x1fce8580, 0x7e8f5404, 0xa5dbbaff, 0xe3b0d32c, 0x80ad4e0b, 0x8e06df57, 0xa70905f3,
+    0xca00fcdc, 0xe48018d9, 0x2fabed49, 0xefb767f0, 0x40ed2070, 0x7b6b6c8a, 0x23c2e1f9, 0x16ca8f02,
+    0x1c7e586d, 0x91d7fcc6, 0x981c9d54, 0xda9b075a, 0xae6fb710, 0x72df081a, 0x0f13bc7e, 0x81f2258a,
+    0xbada8901, 0xabf82d6c, 0xe212b94b, 0x61bff996, 0x84dad1ad, 0x09305286, 0x8968f491, 0xff571e5c,
+    0xeaee551d, 0x9f1cb3f2, 0x0903ade8, 0x8ab1552f, 0x712dcab0, 0xa08aa65f, 0x5ffefca5, 0xed92dc7c,
+    0x7b9cb177, 0x25665c99, 0x63ff8515, 0x9f24e8a9, 0x95e30fbd, 0xe8c6c538, 0x42c54e31, 0x90f45363,
+    0xca945bff, 0xae948371, 0x5cdb2966, 0xf9175105, 0xf47e6dfb, 0xc2e84d7c, 0xadc0c12d, 0x45be9217,
+    0xadd22281, 0x805a94d1, 0x0be11ec6, 0x2fd8454f, 0xf1ed8eca, 0x1ba280bb, 0x039ab997, 0x8a4fd305,
+    0xcc6f8158, 0xc86da3fd, 0x068e9cd5, 0x53ad966d, 0x912b3e0f, 0x5223dc84, 0x24192dd3, 0x32040629,
+    0x69ebf49e, 0x60a66adf, 0x90929925, 0xf70a5bd8, 0xe86c66aa, 0xacdd61cd, 0x04d30167, 0x6e45d360,
+    0x8e43365d, 0x63accd07, 0x4da5c477, 0x743b3913, 0x59ba0ec4, 0x3a1c3962, 0xada0fab3, 0x7883a607,
+    0xff9e355e, 0x60d3a7fb, 0xd4907a91, 0x025e5335, 0x7f7e166b, 0x5681ecb6, 0x5228443b, 0x99ad38ed,
+    0x09142ce3, 0xd2060704, 0xac45bc64, 0x7b99b5b5, 0x1b40d757, 0x1471eb4d, 0x90385d32, 0xf4795b39,
+    0xc420fdb0, 0xd4c2f6da, 0xc8ce4375, 0x91f3376d, 0xce778540, 0x518837b5, 0xd51519de, 0xbc803f75,
+    0x74ec7f52, 0x50e2d3c3, 0xd1f71888, 0xa8f8723d, 0x5513dde4, 0x9f8edf08, 0x60b60e12, 0x8b17882d,
+    0x84356e57, 0x4eeffb52, 0x7e764c9c, 0xdb1bcc3f, 0x8bb6fec6, 0xecd90bd1, 0x622c5a4a, 0xf2e0502c,
+    0xa828cde9, 0x8cf1753d, 0x5c9066b7, 0x5a37ed3b, 0x69717faa, 0xa7e0992f, 0x90f11035, 0x6163bf62,
+    0x519b42c4, 0x2f7dc184, 0x167f187f, 0x37084bbb, 0xcecbbeba, 0x61731439, 0x2997f5d1, 0xac3c3149,
+    0x6ada0baa, 0x517c12d7, 0x664305e8, 0x99eb289d, 0x621e1925, 0xa25d01f2, 0xb0f606d0, 0xf31960e4,
+    0x51cda33e, 0x371bb305, 0x374558d8, 0x97f5dcf5, 0x0f7c158d, 0x9d09d57c, 0x6747d0c9, 0x4fbd0b47,
+    0x3c9aec90, 0xb4fa077f, 0x2eb56b41, 0x7fbbf5ca, 0x9acc48fe, 0x3b3b751b, 0x9b950686, 0x275a3ffc,
+    0xa2d549d8, 0x563f0d78, 0x47b837e7, 0xa144c00e, 0x98e21faf, 0xe6794b91, 0xed94e533, 0x71caf302,
+    0xa735030a, 0xd668c0dc, 0x32ab8b17, 0x75d5dbc5, 0x44c971c6, 0xeb7920c8, 0x781ad862, 0x3551a991,
+    0x74ac7392, 0x97b8e196, 0x957c6d96, 0x42a192c7, 0x93d48c67, 0x671ea961, 0x26237878, 0xd59777c0,
+    0xadd71f4d, 0x602260aa, 0x00f621da, 0x9869673d, 0x61fcc51c, 0xc7f41860, 0x504475ca, 0xda3ece21,
+    0x9ceb5861, 0xeea69032, 0x0f90e74c, 0xd4e470ee, 0x5851f9b5, 0x4b2c7dca, 0xbe4a61ee, 0xe2b896d6,
+    0x9e7f2551, 0x9cdf519c, 0x53a5e102, 0x082fdb93, 0x1e8ef5a2, 0x5522ec87, 0x0332a2ed, 0x99fa6470,
+    0x550ef090, 0x2e5eaee6, 0x7d0f3985, 0xb44452d8, 0xcc5d7f8e, 0x156305f5, 0x7c7187be, 0x073244e5,
+    0xa0031046, 0x19880f31, 0xfc1226f9, 0xa2f39ed1, 0xdaad493c, 0x13e751bc, 0xf358b8f3, 0xa98d206c,
+    0xf3fd0116, 0xba8b7fb8, 0x1437d229, 0x6988b460, 0xc68b0618, 0xc44ac25c, 0xf82cc3e7, 0xb8768c07,
+    0x7800b450, 0xbc4cb3d3, 0x8894ecd3, 0x6e9e5aee, 0xe2e2f06f, 0xca75e05e, 0xd413dc3c, 0x46db0d06,
+    0x70dc132f, 0xbc74b956, 0x3448e8f2, 0x86a766a7, 0x53e76bab, 0xacfdd2dd, 0x4032e94c, 0x571a33a9,
+    0xe5360830, 0x3411e9c2, 0x1f099c17, 0xb5d4b6a5, 0x7f91c3e4, 0xacc816c5, 0x8c21921a, 0xd02665f8,
+    0x8d283334, 0x3f7c5ee0, 0x84e74613, 0x332027f7, 0x88b42c72, 0x53a854df, 0x198b6e7c, 0x3e254e50,
+    0xb5be19ea, 0x530d75e5, 0x09d0d694, 0xb7e9196e, 0x70180ae0, 0x42eec344, 0xa719c0d5, 0x29ebeb39,
+    0x19446570, 0xb8301d86, 0xe868139b, 0xb333826c, 0xc89ccbcf, 0xa3acbf2f, 0x5fead5e1, 0xf820c77d,
+    0x8bb4264c, 0x4e325e1e, 0xff856a40, 0xd16c9fbf, 0x20483b07, 0xbbd8d523, 0xe209bf54, 0x21aaa840,
+    0x710855c1, 0x40bb4d4a, 0x4405bece, 0x7dc5fa3f, 0x0b4a63ae, 0xfcfa055b, 0x2f7cf42c, 0xbcb62c5d,
+    0xf7b72e8f, 0xffe9d8f7, 0xc6282bfd, 0x85546cf4, 0xc9db69cd, 0xfe6153ec, 0x28576386, 0x7b703004,
+    0xab397819, 0x6f420cb3, 0xc4fd4c95, 0x041e5da1, 0xf1fac53a, 0x639b24d1, 0x20e1522d, 0xd00e8a86,
+    0xbeb02b3a, 0x2d82c20c, 0x9fe6fafe, 0x63deee40, 0x2dafd412, 0x9b498f59, 0x1beb9a97, 0x5a5f146e,
+    0xce4fcd1d, 0x5ad65821, 0x342ff61c, 0x06a2e40e, 0xe3063598, 0x21055761, 0x66285595, 0x4531df2a,
+    0x834275b9, 0xa105c701, 0x7474338c, 0x1979f88e, 0xf3f88598, 0xa3bf0658, 0x8a2a6ceb, 0x19a4ad2e,
+    0x20cff8a3, 0x63294c2d, 0xe9015e85, 0xc3b57635, 0x10968ae0, 0x525f8366, 0xc623aa3e, 0x1f9ee60b,
+    0x2dc0fd40, 0x83241418, 0x8d043af5, 0x9e904397, 0xe25ebbd0, 0x7359b6f3, 0x5306e316, 0xa66cccf7,
+    0x48e6be47, 0xc7aca4c5, 0xc0bc77ad, 0x85c41a72, 0xa323f36d, 0x6cc29853, 0xb6e0bcde, 0xe1c384eb,
+    0x6458a9d5, 0x0d82bc1c, 0xf58e2d13, 0x55f289fd, 0x5ef30d2d, 0xbed23a27, 0x37426c62, 0x2f607911,
+    0x5c974dff, 0x00099956, 0x52e8763f, 0x1d6cdaf8, 0x5e3729d5, 0x9366f90d, 0x5a3a3653, 0x16695eb7,
+    0x49915ef7, 0xb3c5d002, 0x9869ff72, 0xa4434f75, 0xc8ec0e78, 0x4670db08, 0x19f8da62, 0x1bab0248,
+    0x1baec5e1, 0xc85a9284, 0xff7ff063, 0xbc1f9a7a, 0xa0f753e2, 0xa3bf7a87, 0x44ff0d7d, 0xb273e9f8,
+    0xd1b421e1, 0xab224f23, 0xc3bae5d6, 0x4676c09f, 0x64283b51, 0x497f81c4, 0x22416ea7, 0x05b1c2d8,
+    0x6034f89b, 0xcf76e242, 0x5fc9233e, 0x6cea97d3, 0xe2f0bed1, 0x0a1b7868, 0x74e8d05b, 0xf824c860,
+    0x45c09378, 0xf58b0d10, 0x65990072, 0xa771bf3b, 0xe440ab5d, 0x0d91290b, 0xefe9172f, 0xf008e9b4,
+    0x621ca9c1, 0xc60b8ab6, 0x5725dbc7, 0x905341cb, 0xe1a3a663, 0xd2aa4793, 0xb472d324, 0xfa19c67e,
+    0x4d847265, 0x0ad1fbfa, 0x99af79bb, 0x2f596113, 0xae39ade3, 0x18429556, 0x8406a5f9, 0xc558b10e,
+    0x15413b0d, 0x5c294c6d, 0x2407f561, 0xec04e1e4, 0xd107266c, 0xe6bce9ca, 0x3304b860, 0x68263d0a,
+    0xa0adaf9e, 0x97da6593, 0x2265bd7c, 0xac9ef015, 0xa720e36e, 0xe430ea46, 0x0c45bab1, 0xa2ae6a5f,
+    0x1e896234, 0xb823c8cd, 0x728b9f44, 0xbe751df6, 0xf0a960ba, 0x3a2e0a9d, 0xd88f5bdc, 0x74866926,
+    0x4a25a310, 0xc5925330, 0xcb1fd06a, 0x897d1f64, 0xf75a275d, 0xd331c76c, 0xe9aca430, 0xf743fb35,
+    0x299d5a8d, 0x5d37a5ba, 0x04059622, 0x84ce41f1, 0xdf074d16, 0x09668a8a, 0xda4143c0, 0xb3d3615a,
+    0xbbd71797, 0xf7b23010, 0x37564407, 0x027ec7c3, 0x65e6b7f3, 0xa9db1cfa, 0xbc5b425c, 0x79a3bb9b,
+    0x1f5ad1d4, 0x47e13594, 0xf01ecc30, 0x19f5f139, 0x60f29c02, 0x7400c84f, 0x097432b0, 0x708d0e0f,
+    0x59ce3082, 0x48c26e5d, 0xe492cd6c, 0x0e21baad, 0x09768e2e, 0xf2758474, 0xb9e59b61, 0xe2f5f646,
+    0x65b53158, 0xbba63dd7, 0x4dcaf2cb, 0x533ce00b, 0xdc3f6a05, 0x834cb2b7, 0xce0acf9e, 0xf6417cb8,
+    0xf84f0698, 0xd28f7f9c, 0xda6cf013, 0x71627b4e, 0x244725bf, 0x4334cc43, 0x81f944c5, 0xb5974a3c,
+    0xfa9fe1df, 0x236b0cd1, 0xbaea52ce, 0xbceb125f, 0xfbba4b22, 0xd81d2f48, 0x1d907845, 0x212e8201,
+    0xaa4bf08a, 0x76d61c80, 0xd07b3f21, 0x14612022, 0xc5c8535d, 0x58d5ed44, 0xab0c6169, 0x867fa94f,
+    0x38074710, 0x06277715, 0x92987c54, 0x28e37642, 0x29fd52be, 0x600ca41d, 0x433fde84, 0x627443ca,
+    0x79e35eb9, 0xce8e320c, 0x8b6bf529, 0x04ad26c9, 0xbba09869, 0xdfe3f496, 0x961a92f1, 0x95d4c72b,
+    0xb096a530, 0xa3f49bb4, 0xef872996, 0x973fef5b, 0x2794429a, 0x6a5111bc, 0x086456b9, 0x1e43cd6d,
+    0x1f8315f3, 0x272cab54, 0xdcd70b5e, 0xca530f6b, 0xdaea6ab3, 0xda4e8f82, 0xbe8b080f, 0xf7dea734,
+    0x765b60f5, 0x5e4c8a6c, 0x623c496d, 0x9f238e8a, 0xc526832a, 0xb1c43abb, 0xa757f0ff, 0xeb9837d4,
+    0xe03e4bc0, 0x5c9cb690, 0x61662843, 0x266342f9, 0xc6a613f4, 0xa0753d92, 0x38dcaa51, 0x1747ed94,
+    0xbd0aacd4, 0xa3fc5f03, 0x96889b23, 0xcb2c5f9b, 0x61de6df1, 0x900dad06, 0x57128954, 0x62baafee,
+    0xe6be7e34, 0x88218295, 0x8eea4388, 0xf7c82cb2, 0x12ac00cc, 0xbc99cf18, 0xa5da37a5, 0xfd44e9b9,
+    0x7b654663, 0xaf5340ee, 0x59ad2561, 0xf6087e16, 0x2bad45b6, 0x18c07b2c, 0xe61b6c99, 0x76a83b51,
+    0xadcfdb46, 0xdc40c1c9, 0x2958d61c, 0xe0ea28e3, 0x580974f2, 0x04631978, 0x0069c20a, 0x0cbdd2c7,
+    0x9ba3a801, 0xb1ea764d, 0xee6b16e9, 0xa02804e4, 0x8a007731, 0x2180e52a, 0x1d793cc7, 0x2ac38d0c,
+    0x8191d0bb, 0xe76e19a6, 0x88095dfa, 0x70452ec7, 0x42b583f3, 0x688ae9ed, 0xbf489d3b, 0x89b1f30d,
+    0x00000000,
+    0xd685eb09, 0x125f55b1, 0xea8f9d1f, 0x3287ef4e, 0x73c2ce83, 0xdb564041, 0xd9d6a748, 0xb62aff1b,
+    0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000012608641982846233347929292832045956417625\
+                         51656654894293374345388935863096687910739565256520156317300505812095689818112 */
+  { 0x00000000,
+    0x3d3a149e, 0x11860350, 0x3f3ab712, 0x6c00eb31, 0x496a3322, 0x4b37079c, 0xb715d9b3, 0x40b1e69c,
+    0x7f35c3fb, 0x632c9ee0, 0x3c1cbadd, 0x7e3ca918, 0xb3cdb5fd, 0x0ec1501e, 0x203b7d57, 0x03fc848e,
+    0xd9a6f597, 0x3ea1fce6, 0xbb310b0a, 0x28872b65, 0x33349587, 0xd702f2d3, 0x953d741a, 0xfecaed58,
+    0x0e660f1a, 0x4cbd937e, 0x5bdd42de, 0x220e1759, 0xed54be1d, 0xe1de5c7f, 0xaa5e4e3c, 0x4f13fda7,
+    0x4fbed120, 0x9d0bddd5, 0x2e1d79cf, 0x1a1bbc0f, 0x771131a2, 0x9ad9e18b, 0xa8714a9e, 0x74796cc0,
+    0xefd56207, 0xf17cde34, 0x426d6010, 0x9c3f17aa, 0xf310e9dc, 0xcaa1bf8a, 0x48ab6b71, 0x03e4d708,
+    0x6fa39841, 0x1213d5ec, 0x0bcf7217, 0x3c001be6, 0x9ab60d70, 0xeb1599ad, 0x540c5830, 0x3db9f2d8,
+    0xf3e36f2b, 0x42986a65, 0x49c659a9, 0x8164b075, 0xf090f297, 0xac9ceed0, 0x118861d8, 0x491bf9f7,
+    0x26f4f1ba, 0xbb60a8b4, 0xf1eb8f11, 0x19eb554b, 0xb3e7dd20, 0xf0d9e115, 0x79de6520, 0x9ec139a8,
+    0xdb7f27f1, 0xac05c77b, 0x275906fc, 0xe2e12ab7, 0x60784856, 0xb67d0ef7, 0xf7086b70, 0xc2cdc6ea,
+    0x02add0a1, 0xe83ab562, 0x1068af05, 0x31eff198, 0x7132611f, 0x3dc3427c, 0x82b2c76d, 0xa937fd10,
+    0xb8ccd405, 0x4f89e837, 0xcb5e524e, 0xa7478b70, 0x44420e46, 0x0494a12e, 0x340ae480, 0xadca9627,
+    0x4d25f18a, 0x76022238, 0x28fe907a, 0x09f637df, 0xf26f8579, 0x06c4ad7a, 0x236788da, 0x632753ac,
+    0x98a1ba07, 0xc0232606, 0xc1b1468c, 0x06379635, 0x529f28be, 0xf1462a6f, 0x28508b34, 0x58070b37,
+    0xf8f473c4, 0x7ebd975b, 0x1599d7bf, 0xc666a468, 0x453a9849, 0x4be62221, 0x1000feab, 0xefacc5cf,
+    0x3f3e8200, 0x7412febd, 0xa4e2622d, 0x31811fb0, 0x2448403f, 0xae2e3a34, 0xaa9dc97c, 0x9570dd09,
+    0x7872d894, 0x62a1c92f, 0x0d330bd1, 0x829100f5, 0x0c64e8cc, 0x9a113995, 0x26dfd8e8, 0x923c8b07,
+    0xc3255f71, 0x5b425f70, 0xd8aeeefe, 0xb1178c2d, 0xd8a9ff5b, 0xafe1d8e3, 0xe9f2e017, 0xfb8937a7,
+    0xdde166ec, 0xf768fd90, 0x716079e6, 0xf85547ed, 0x18535859, 0xefdec041, 0x3f4c28e9, 0xa24bcbdf,
+    0x579448da, 0x55bc028b, 0x400a0179, 0xd30b69ce, 0x1d662f6e, 0x8e556838, 0xf9a955ae, 0xa662afb1,
+    0xb6cce193, 0x9ee875e4, 0x505d0924, 0x5d1d46b7, 0x4069e4b8, 0xb0e5db3f, 0xa9cb2085, 0x71ad3344,
+    0x8bc0215d, 0xa5397240, 0xf8409e6b, 0x0c3ba3a3, 0xe12b7d97, 0xbba43d60, 0x3174ccde, 0x1a1a3d5a,
+    0xd39c87fb, 0x5e64c831, 0xf340b8e8, 0xded03ab1, 0x2c948841, 0x28a72cc5, 0x6c032ef9, 0x93c2e659,
+    0xc9ac5d63, 0xf52c1038, 0xfb95cb1d, 0xc00032e9, 0xa80a8eb8, 0xcc4ef000, 0xa8c4267a, 0x518e61ad,
+    0x5be094c3, 0xf5930fcd, 0x4c6bcea7, 0xfb124e6f, 0xf61f0b15, 0x5323eeba, 0x54f99dbc, 0x2492b69e,
+    0x854f1bc6, 0xd185f69a, 0xcaa08685, 0x2c7a5ef2, 0x8005eb2e, 0x2caac057, 0xedb40d73, 0xf3bdee42,
+    0xa20d63d1, 0x5f887672, 0x6bd67c17, 0x20422c5f, 0x8bf2ada3, 0xda169e3c, 0x842b3fe4, 0xbdce1a7f,
+    0x6e322e44, 0x3c1c0f58, 0xeab85dbb, 0x8887fb4e, 0x29414280, 0x34c30b24, 0x71101715, 0xc54755bf,
+    0xd90b244a, 0xfbf10898, 0x7491ad87, 0x823ba3c3, 0xcb2d1a63, 0xa1dd43c4, 0xa49011c5, 0xbe1dedfd,
+    0xcd2da91b, 0xf6d7f99b, 0x666b22e4, 0xe4b8aa65, 0x54f8215d, 0xe851cb77, 0xcb6e1e52, 0x25c0a645,
+    0x50b276c7, 0x27989b00, 0x585fcab7, 0xd7580707, 0xd42b3ec0, 0xd01c0e30, 0xeb971cec, 0xc2825765,
+    0x2a1f5992, 0x5d7bc24a, 0xbc662f01, 0xb391bbe7, 0x3b2e12bd, 0x6f373a13, 0x522d0a85, 0x1b5778a9,
+    0x1d4847db, 0x13f72591, 0xffb2944c, 0xd6ad27a3, 0x74a8a9c5, 0x4bb8b84d, 0x17214d1e, 0x714dad9a,
+    0x5293f36c, 0xd64ebc8f, 0xbcef3e51, 0x77db8a4b, 0xc7b76234, 0xf13dc8d3, 0x7160bbd5, 0xb3dcb81a,
+    0xefd75be9, 0x669e4deb, 0xd7645b21, 0xa59da9df, 0x22b0f892, 0x3434abe4, 0x25d526ba, 0x3fde3051,
+    0xcf942860, 0xd212fe00, 0x678dab61, 0x87e56fdd, 0x1e2b6054, 0xbbb3be07, 0x12b69f77, 0x387f1df1,
+    0x9449f1a4, 0xf7423c79, 0x42d7e253, 0x0a2f8c39, 0xc245a9ad, 0x32abf27d, 0xdba38df9, 0x1d981ae7,
+    0xb5dfedba, 0x142da5ba, 0xed46554b, 0xf2929160, 0x6f4d859d, 0xb73ce74f, 0xa1d3bc2f, 0xb87e87d4,
+    0xad123a76, 0x32deff55, 0x51eb7e7f, 0x1a20792d, 0x95600602, 0xe818a94d, 0x324bd9de, 0x975ecad8,
+    0x0622babc, 0xd9e488b4, 0x58706ee0, 0x4f64bb37, 0x7247db2e, 0xc128df3d, 0xbf910cfb, 0x991562e9,
+    0x92863262, 0x68908c5b, 0xbd2c4476, 0x023d1ef4, 0x06667ee8, 0xb081ab1e, 0x46dcf7a7, 0xca2d8673,
+    0x0c4cbb9a, 0xecda67aa, 0x7effda93, 0x422d8ae7, 0x66032e60, 0xc3cf016d, 0x63419b43, 0x3d44f186,
+    0x0ca9bca1, 0x94d7d0ae, 0x234c21c0, 0x4e04188d, 0xefa9a423, 0xe8b02e0c, 0xdce86434, 0xd7c0fac8,
+    0x78e5924a, 0x8c5761f1, 0xee7664c3, 0xb458d9a0, 0x36c9d55e, 0x38cbd08f, 0xa584e54e, 0x2a017ac8,
+    0xacc29000, 0x04d80d34, 0x8d916f3e, 0x9e835a67, 0xa069fd9b, 0x527c6deb, 0x3d4653e5, 0x65729aa6,
+    0xff8d510b, 0x60b5dd9f, 0xc675f3c1, 0x362f92ac, 0x66300abf, 0x6827552b, 0xab1ed217, 0xc452f059,
+    0x6ef112cd, 0x606ebfeb, 0xb55e63a0, 0x9189ad73, 0xdf917282, 0xd36619cf, 0x11b4bc53, 0x165c4ef8,
+    0xcd4599d5, 0x338e947e, 0xb6931959, 0x15e91666, 0x99cc8efb, 0xaff0045d, 0xc32be4df, 0x8901ee5d,
+    0x95630ecc, 0x61533984, 0x0c53454b, 0x96d91523, 0x3206fcd2, 0xe17b3695, 0xe9505e2d, 0xd6442e1c,
+    0xc4465f1a, 0x4a849c7a, 0x4ddbf5be, 0x137b1c58, 0x24513398, 0xb7d05ae0, 0xbd5909a9, 0x7b06dc71,
+    0x9b746898, 0x861aead6, 0x409d8a07, 0xcb974a7c, 0xbcb99063, 0x8910d4d8, 0xd51163c8, 0xadd61539,
+    0xd36717e1, 0xc1c8d670, 0x3458f144, 0x27117043, 0x9aa1004d, 0x2a7fd964, 0xe9781e8e, 0x698dd856,
+    0xc3c02fa1, 0x858f86e1, 0xaa25cfb7, 0x8f87cd92, 0x3caa8a0c, 0x6b099e90, 0x7c4a2e12, 0x0386b6a9,
+    0x7256ae68, 0xf1249a6b, 0x55fe6bb9, 0xfcd51385, 0xff660a8f, 0xa582a6e1, 0xcf692cb8, 0x90981777,
+    0xfef41b49, 0x7526534c, 0x7afefdb6, 0x4cbb4ffe, 0xc7b318e6, 0x85087515, 0xd27167a2, 0x64a93a77,
+    0x83587cd6, 0xb6527cb3, 0x60da380b, 0xca05d902, 0xc63fef6d, 0xdc7f551b, 0xc63b1d18, 0xff4b99d3,
+    0x73e2d1c9, 0x5dde4ebc, 0xa17c65bf, 0xb313af79, 0xb9f1eb2f, 0x8905b704, 0x476bead8, 0xff5954f2,
+    0x580d7d37, 0xb0b202ec, 0xdb83e96b, 0x0301513e, 0x7dbdee2c, 0x5ce872a7, 0xce74fd54, 0xa3151f71,
+    0xdd4376d6, 0xadf702be, 0x872399e8, 0xe79370ea, 0xa347250b, 0x80d4d90f, 0xae38a781, 0x0c0c6f27,
+    0x8a78d6c4, 0xa2f8f86e, 0x71692f90, 0xfcb03e20, 0x16609494, 0x06eb8dcf, 0x19826109, 0xde353862,
+    0x78ac1647, 0xbe62f93c, 0xc07669ad, 0xa8f95279, 0x1a85cdeb, 0x102238af, 0x650fa323, 0xa19dc336,
+    0x25d20035, 0xcf580b55, 0x9f93424f, 0xd8fe51cd, 0x31954f1b, 0x815de7af, 0xa0c0990e, 0x12b88260,
+    0x6a12d6b6, 0xf67ac241, 0x3f2fa8ed, 0x414444a0, 0xe160d6ca, 0x08b45afb, 0x3bcf9dbb, 0x1acb9024,
+    0x5dcf4f60, 0x6225aa86, 0x7c98b88f, 0x26db4580, 0xb28fa094, 0xbc006d8d, 0x097188f9, 0x25dd9aef,
+    0xd79ccf7e, 0x34352465, 0xd94f2438, 0x204c17bb, 0x0b55d835, 0x969a2112, 0x9d9c2622, 0x7be149da,
+    0x3d2d899a, 0x08369d9e, 0xbee42b3a, 0x0656b6f6, 0x4f6c6b35, 0xc02a4077, 0x4fd1771b, 0xfe378749,
+    0x57c2fafa, 0x2c2bc0b6, 0xf9a6ab1d, 0x1b858bde, 0xa2cbfe53, 0xd9842f3e, 0x2f882ffb, 0x2c918641,
+    0x819c38de, 0xd28c3432, 0xb3e80b50, 0xa285edee, 0x35e552cc, 0x7d27ba01, 0xc47260e2, 0xbf1958ee,
+    0xb6416589, 0x8288e809, 0x5c5f6889, 0x1f14a0ac, 0x184f15c0, 0x443a0e94, 0x41a677c1, 0xf62f144c,
+    0x75efb852, 0xb5bec60e, 0x37de24d1, 0x017fa30c, 0xc6b3d49f, 0x33db1246, 0xb88e7626, 0x934efdeb,
+    0x863953a3, 0xe1ff9b1b, 0xa00e82b3, 0x6b374f65, 0x7ac3ed5c, 0xdb619326, 0x1a8d7efa, 0x66c95167,
+    0x4b42eb56, 0x675282e7, 0xb2fa4210, 0x9f118a59, 0x0c880be3, 0xb378b286, 0xa7279c51, 0xf986d5cc,
+    0x90c17f02, 0x2531b70b, 0x8d2ddbfe, 0xdc1274f9, 0x5c9e19a1, 0x7a01f16c, 0x09c56e52, 0x5e775b95,
+    0x3527273d, 0x35fb20c0, 0xbd6fd4d8, 0xe0ba0983, 0x2f914a46, 0xe777c046, 0x4e94e19f, 0xb22ef439,
+    0xa2372631, 0xa90317a1, 0xc1c421d4, 0x92addb6a, 0x1c722a21, 0x4d74dd7c, 0xe50b6713, 0xf1318730,
+    0x625b70b9, 0x71a68706, 0xcc738356, 0x46592580, 0xc33b5312, 0x5fdf2edc, 0xe8546087, 0x6a805150,
+    0xa6f0c354, 0xef5674d4, 0xbf7c52f8, 0x9074df27, 0x3189a7bf, 0x23b80dc6, 0xc487c501, 0xfa8a0182,
+    0xb84a205b, 0xcceb1c32, 0xbea3692c, 0x41282416, 0xde063a02, 0x4349c2c0, 0xf3a5e78a, 0xe159a3cf,
+    0x77b1daac, 0xb2dfc6ea, 0x210bb7f2, 0x683da225, 0x0c4d15c9, 0xa7b84b60, 0x9527c648, 0xc80b3643,
+    0xcc39570e, 0xb52a3da9, 0xef5b426e, 0xebdb2abb, 0xb510c7e9, 0x93ac4bb8, 0xc48818ab, 0x431f061a,
+    0x6e736385, 0x51cf2f7e, 0xc090639a, 0x5f984474, 0x3415c6a3, 0x3f73d7b9, 0x9cb0587f, 0xdba57deb,
+    0x47ad1a14, 0xb7bfc55e, 0xbb544619, 0x2ec89ccc, 0x35697879, 0xf0c79488, 0x87de3911, 0x929d700d,
+    0x5895cc05, 0x70d7503e, 0x109fafe7, 0xa1ef4291, 0x21b49201, 0x3d4706b5, 0x32b31e67, 0x6f9613e2,
+    0xbdc71aea, 0xdb76a8c9, 0x544925b0, 0x9ac24864, 0x2bb37128, 0xaf880810, 0x6a80a231, 0xd466e91f,
+    0x12429851, 0x2cfd37ac, 0xb4dafebd, 0x604a45bc, 0xe2b6b42d, 0x964ae0ac, 0x69f50e5e, 0x5ee94d57,
+    0x19be8c2b, 0xa671edc1, 0xa0915a5d, 0x2e3d82b3, 0xbfd9215f, 0xce555668, 0x9e8f1694, 0x21bb36cf,
+    0xffa498a5, 0x33c0e473, 0x489ab06b, 0x2b90946c, 0x1a6d1da0, 0x542e270e, 0xe42100db, 0x79c18c15,
+    0x2e1b7bb5, 0x54989bfc, 0x46ff6dbe, 0xc0e17f81, 0xc4c17b16, 0x4bfa6c1f, 0x73e1fc7c, 0x8dc59abd,
+    0xe390d922, 0x7b7a3d0e, 0xc3d6992f, 0xc9fd96a6, 0xe6a18981, 0xa9d309bb, 0x433c9efc, 0x357cbf73,
+    0xd4389c66, 0x9516446d, 0x065df503, 0x2e1415a5, 0xd0f8d772, 0xb6077426, 0x0bd02c62, 0x778457c0,
+    0xd987403d, 0xee8f4cbd, 0x567251ef, 0x0fd3791c, 0xe4307842, 0xdc39037d, 0x0f004f75, 0xaf8de3b1,
+    0x89604ba7, 0x3c462c1c, 0x92567222, 0x7cf34306, 0xe8ae1dd5, 0xed155439, 0x12d57a42, 0x2c21a066,
+    0x88d6ad6d, 0xd277d3a6, 0x8468b526, 0x26f106ac, 0xe981b399, 0x362b086c, 0xd48b129d, 0xa9035114,
+    0x3efd83f3, 0x36cda996, 0x56664fac, 0xb6230135, 0x48ea5d1e, 0x42b3067e, 0x4509123a, 0xbc955966,
+    0xee31493f, 0x8ca1c9a7, 0xee7a0f59, 0x56b2abee, 0x80c58d1e, 0x1a3a0d51, 0xeb5c1305, 0xb5249871,
+    0xc2f6c5c8, 0x3cd45f62, 0xa0284ee4, 0xf027c125, 0x0741a382, 0xe6f4318d, 0x0610e3c8, 0x1c004e9d,
+    0x6d2a1818, 0xfb04ba48, 0x904dddcc, 0xabc01722, 0x7e36668c, 0x87d45a48, 0x904ea0c3, 0x52e193c0,
+    0xb87dd0cc, 0x50c72955, 0x0f51fc8c, 0xd416495c, 0xb09ab433, 0xb24a59d9, 0x4153579a, 0x6d7df8c8,
+    0x113009c4, 0x81c187d3, 0x23bb77b2, 0xebbf8889, 0x1742d8b6, 0xa2795788, 0x46170eb7, 0xb88df8c8,
+    0x5d2da969, 0xae50762c, 0xc9a7e400, 0x96df73e1, 0xc2938cb1, 0x8e41f520, 0xbd87d9c9, 0xfb16b6b7,
+    0x4e63afce, 0x218aa530, 0x56704922, 0x59dcb0bd, 0xbf22decb, 0x8b5785ec, 0x0a1ee710, 0x450388c4,
+    0x8fb0d0a5, 0xdef635aa, 0xbd4315a1, 0x5592d657, 0xc597e4e3, 0x63ff78dc, 0x2afc008f, 0x6192bd60,
+    0x85ac26d1, 0x663ae942, 0xf3f2406a, 0x9e5e470c, 0x92b908ff, 0xadc0f7cd, 0xf1d7723d, 0x17898281,
+    0x9c8780ed, 0x4e4adc57, 0x35958cda, 0x7de53fa8, 0x0f623484, 0x9bcbf441, 0xd81e0311, 0x42b13b84,
+    0xdb110eed, 0x50b334e0, 0x354a51da, 0x4036b964, 0xf16d81f8, 0x2ad4f4c8, 0x7656ea17, 0x945a0918,
+    0xf99a6f9a, 0xd22bd0db, 0x69a2f0f2, 0xffe3ae48, 0xd4ada10f, 0x805a12de, 0x44aa1b77, 0xc59934fd,
+    0x082148e1, 0x2ec4c2a2, 0x294bde96, 0x0cefd096, 0x142e7766, 0x1e42fa48, 0x5cebff38, 0xcb5fcae5,
+    0x061f9570, 0x7f309263, 0x248ea5d3, 0x4b761b22, 0xfc2ae2af, 0x03daca48, 0xb0bba819, 0x6e1d3bac,
+    0xe0b83533, 0x28be97c6, 0x4ffc4bf9, 0x82f7a654, 0xe193aa2b, 0x2838803d, 0x75ac547b, 0xc22da2de,
+    0x7560ec93, 0x5429b1b5, 0xb7d55c97, 0x98eb3490, 0x9239eb3d, 0xe04d8068, 0x79e2f9ca, 0x5afa8f28,
+    0x0a124e06, 0xc397b6a7, 0x98a80124, 0x10740280, 0x82801d0e, 0xe4682a83, 0x9a97ef4d, 0x8ff4ee6e,
+    0xf62b5d92, 0xf65122bf, 0x2f083b50, 0xeef04e1b, 0x0f7cfbb4, 0x793f6cab, 0xd0abe6e4, 0x14fd6a3e,
+    0xa6147595, 0x161d2b7e, 0x66684984, 0x142cbdb5, 0xaf787389, 0x064ea8dd, 0x9db457cf, 0xc74f5a10,
+    0xf61f7aa0, 0x7c01189b, 0x973becb2, 0x11cd308d, 0x2059328e, 0x17ba542c, 0xe01e264e, 0x613bd79c,
+    0xe18f0ea4, 0xcdec9dd0, 0x79312227, 0xfbffd783, 0x37e369d8, 0x436deb19, 0x2fd71288, 0xf846e936,
+    0x874185db, 0xa7a6e45c, 0x227491b5, 0x641018aa, 0x500cd88f, 0x650639b8, 0x08090dc0, 0x026004e2,
+    0xac78e01c, 0xc312a28a, 0x4f165c3a, 0x7e98c8e9, 0xd98761ed, 0xc9082f6a, 0xbb039111, 0x2247bee4,
+    0x904b21e9, 0x077b3cfb, 0xaf0a851b, 0x9796c80a, 0x57179ae4, 0xb67a0cd5, 0x7e55afe1, 0x575c831d,
+    0x514a0776, 0x25dc9a69, 0xb66b3615, 0xb1d23c7b, 0xeeb8b85f, 0x2b6e9575, 0x21a0110b, 0x47f6b24a,
+    0x9b40b91b, 0xc608b848, 0x914c679a, 0x50e65d97, 0xdf7bd11f, 0x4e27f885, 0x193c7deb, 0x8e4d37ac,
+    0xa7c32b31, 0x5e26b293, 0x558b7ee2, 0x65ec35eb, 0xa31fd0f6, 0xca05073f, 0xf5bce83d, 0x76d655eb,
+    0xe87e3621, 0x0bd198c1, 0x25bcf2f2, 0x1fe12454, 0x9bef5c27, 0x7de7dc0e, 0xab8c8579, 0xf0d38f28,
+    0xcca0e0fb, 0xbf2568d3, 0x5fa15468, 0x4d0565cc, 0xf92e722a, 0xa09e8e7b, 0x6f334cb3, 0x41cd4192,
+    0xf93e9ff3, 0x0d1dc6a3, 0x03ec2252, 0x422785bc, 0x0f6df92c, 0x45885bba, 0x352ffae9, 0xcbf0ad79,
+    0x2379028c, 0x61d33bb3, 0x42dc8692, 0x05576c26, 0xc7cc629e, 0x1c844fd4, 0x289551b6, 0xe42a6d0d,
+    0x8b2e1edc, 0x2d72244b, 0xe5507d95, 0xb628ad83, 0x1923605e, 0x72382907, 0x10b41136, 0x84c25369,
+    0x00000000,
+    0xeb42f584, 0x892faad8, 0x7547ce8f, 0x9943f7a7, 0xb9e16741, 0x6dab2020, 0xeceb53a4, 0x5b157f8d,
+    0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000006304320991423116673964646416022978208812\
+                         75828327447146687172694467931548343955369782628260078158650252906047844909056 */
+  { 0x00000000,
+    0x4988a323, 0x9a4100da, 0x1b94af65, 0xb5a1bb21, 0x26bf35c9, 0x1db48621, 0xf40a1754, 0xd8d444c7,
+    0xf38bd842, 0x7cd30f53, 0xf84ebee9, 0x31a46754, 0xaf40680f, 0x280acf7c, 0x102a76f5, 0x6818ef91,
+    0x1debf954, 0x3b7377ba, 0x828432a2, 0xa6777f58, 0xbd7f5905, 0x5d0fc802, 0x129473fb, 0x03c0d6cc,
+    0x908071af, 0x9e43d2c5, 0x10fd5fa1, 0x7f0011b3, 0x3eddc983, 0xefae73eb, 0x8ccddb5d, 0xcef40045,
+    0xa99aceb7, 0x712c0eb7, 0x09d35476, 0x22517c4c, 0xdd79edbf, 0x679a363d, 0xd5afd3ba, 0xc7b635db,
+    0x1734698f, 0x758a06db, 0xd56f8caa, 0x41f144c0, 0xa4bee54a, 0x8ce82d6c, 0x7273b24b, 0x02fa1b25,
+    0x16d904e6, 0xdebdae0e, 0xe34570b8, 0x8c5bf38b, 0xa621ddb9, 0x98262712, 0xfa0353e0, 0x48c09450,
+    0x19d5bffc, 0x9d8eedd4, 0xc4f51b89, 0x8b02f7c5, 0x85f0c4d0, 0x20b69189, 0xa1ad5dab, 0x4ceaa87e,
+    0xb3c96e02, 0xa5b4a80a, 0x60007927, 0xc9731ae4, 0xf08ef894, 0xf9d9c302, 0x6e493d8e, 0xda541349,
+    0xaf986d6f, 0x4b133be4, 0xf107e193, 0x29182443, 0x64e65162, 0x2498451f, 0x6623f1a6, 0x58615ab7,
+    0xa409e912, 0xe6918bd0, 0xfc6d7d1e, 0x89c4e69a, 0xbdc99541, 0x3aaa7455, 0x7602b4c2, 0x2642d891,
+    0x54340cd8, 0x1fd135a7, 0x064898bf, 0x1ae7fe74, 0xed94a300, 0x1bb81d19, 0xf691c968, 0x247755db,
+    0xa05d367c, 0x5033fc93, 0xbe4211b9, 0xc7df6480, 0x6b0f057c, 0x47aa6f64, 0xe00e3228, 0x2fb38142,
+    0x9ba5894a, 0x16188034, 0xa6785628, 0x2d774d03, 0xaf25c2de, 0xbd8a1069, 0x9d587355, 0x73f5f18f,
+    0xbbeb6bd2, 0x48daee5e, 0x642d8feb, 0x86036a77, 0x5c8399d4, 0xfa67f2fd, 0x0945c9b7, 0x597f41c5,
+    0xf4de8a80, 0x1ff22910, 0xd89a1627, 0xc7b20df8, 0xf3685678, 0xea59830b, 0x27aefdbe, 0x4fab1e2a,
+    0x609c0797, 0x05b1b964, 0xcac77f53, 0xcc78d963, 0xb56338e9, 0x88f55d37, 0x49e2ba51, 0x7a22de0c,
+    0x34490979, 0xd3b523ff, 0x0bf2cc66, 0x112408e6, 0x37a0d23e, 0xffde123b, 0xd9632266, 0x68383999,
+    0xee6994c1, 0xa93f89bf, 0x46f40b9b, 0xa8bee554, 0x9787fdb3, 0x3a2b13d3, 0x5164597f, 0x782ad2c9,
+    0xb727ff33, 0x3b22f850, 0xcea4e0eb, 0x960cbf7d, 0x4cf82a2d, 0xbea4fee0, 0x971dd549, 0xf952e393,
+    0xdd7c3d1d, 0x3375afe2, 0xe9c2a754, 0xa71e807e, 0xe167e138, 0x3cecfea3, 0xf4f8ebe1, 0xab991882,
+    0xf2865dd7, 0x086aad17, 0x577dc1c6, 0xcb9aac15, 0xd3a9eba1, 0x19a7561a, 0xff60da0d, 0x866c4fe2,
+    0xb63b9db7, 0x80542247, 0x84ae7fb6, 0xf6a04747, 0x6efd2d56, 0xba4d37a2, 0x9382e412, 0xa75adb60,
+    0xa8cf6c19, 0xb68bf486, 0x451838b6, 0x10c2f1ae, 0xe7cd035d, 0x99457c16, 0x0d27d87a, 0x966be3b9,
+    0x0bebdc39, 0x4839df06, 0xbf8f106e, 0x094b253a, 0xc6f2d871, 0x3c1ee19f, 0x6b30514e, 0x29724d29,
+    0x26b67e0b, 0x675c3c10, 0xa7c82e07, 0x39c669c0, 0x42b7e1d3, 0x02387e96, 0x109b2ed1, 0xbdb13e54,
+    0x74ff5d11, 0x9acb458e, 0x7f5baeb5, 0xc9cf8bcc, 0x04fef59a, 0x6da052c5, 0x0524df3b, 0x6ad96c6d,
+    0x96718bec, 0xf0a37994, 0x795eb302, 0xc5ca26fe, 0x21102e76, 0x90ab10d3, 0x420a791f, 0xdfa8cef0,
+    0x58a04d4a, 0x5997be29, 0x25b6e138, 0x70c11e83, 0x2edf00e5, 0x505ecec1, 0x7128258c, 0x979352ea,
+    0xb26d658f, 0x793d2d9d, 0xdd26160f, 0xdc21a6e4, 0x62e11419, 0xa6ad4b0c, 0xf30663de, 0x4492fc59,
+    0x7eaa5908, 0x1679a959, 0xcb25fa36, 0x688c1038, 0x8be3906b, 0xadad159e, 0x7f3a098d, 0xb8311cd3,
+    0x2d3c0a12, 0x04981c12, 0x1092829a, 0xf63aacd7, 0x5b137daa, 0x1f2c42b4, 0x7bf53ed9, 0xd0df082f,
+    0xff904f7b, 0x51480d35, 0x0787d334, 0x7c17ab61, 0xedb584d1, 0x7b0b2f49, 0xca0cad96, 0x0626b3bd,
+    0x6eee6844, 0x7db986d7, 0xd602e3a5, 0x164b2e11, 0xd90a3a4d, 0x1b94da6d, 0x5640d4ec, 0x8f47e73c,
+    0xcadebddc, 0xb546f6b6, 0x64410ecd, 0xda5a80d7, 0x1476140d, 0xdeff6093, 0x775ba675, 0xde1f3b7c,
+    0x07490113, 0x6379c0eb, 0x2867fd2b, 0xefede6ea, 0xf791db4d, 0xe4a1de43, 0x782f4edd, 0x363342a8,
+    0xc1c5d543, 0x4a2988e2, 0xc7a60f1e, 0x63aa6db6, 0x5fc70d7c, 0xca660573, 0x21e0e0e5, 0x19c9007d,
+    0x09815f21, 0x30d1776b, 0x15701480, 0x68ec15dc, 0x249f2826, 0xbe86cad9, 0x5caebe11, 0x228b11aa,
+    0x133d83e2, 0x34eb9ce0, 0x41fc7493, 0x8d138070, 0x80347610, 0x41689c10, 0x7b78e9da, 0x526e978e,
+    0x91669e2f, 0x1c69a26d, 0x62602ab6, 0x418693c4, 0x64c4a829, 0x87506cd4, 0xed445a0f, 0x96be00c5,
+    0xe716ffaf, 0x93da37f3, 0x152fd719, 0x51b4e3c9, 0xc60b788e, 0x2802ccda, 0xf41c3ded, 0x093d212b,
+    0xcf81db2d, 0xde0a1b60, 0xfbc732cc, 0x3aea6b3c, 0x16843f50, 0x9bae0b18, 0xb1b5b017, 0xaa15dcc7,
+    0x9092da62, 0x5cd8bac8, 0x785f44d6, 0x0108c2bc, 0xdeb7c9fb, 0x25e96d36, 0x13bed6e8, 0x396492d1,
+    0x3db86cd6, 0xc6e0c3c5, 0x6ae7e84f, 0x624c1e0c, 0xb131f3d1, 0xfb92ea40, 0x854e0535, 0xa756a610,
+    0x3670d4be, 0xcc60ed46, 0xd4c24fbf, 0x25588008, 0xf3ef6c9d, 0x5da31340, 0x1d873f31, 0x27eb3020,
+    0xf5bd6301, 0x569d6c19, 0x19ba4eee, 0x735c3ae5, 0xbfb84499, 0x38b34af8, 0xe550f753, 0x0171c99e,
+    0x7906190a, 0x97c5e6c5, 0x19a4930d, 0x125ded73, 0xc0d2263b, 0x41693787, 0x8ff719a7, 0xd3d841e8,
+    0xd4368fde, 0xc224b300, 0x75004310, 0xa8748d78, 0x59a82ef8, 0x29c7508c, 0x954d2a9d, 0xda536453,
+    0x9951f2f4, 0xf940ab92, 0x495b29e8, 0x881ae373, 0x42818e53, 0x338d2148, 0x5283572d, 0x2c5d567b,
+    0x2b821bb3, 0x39b1afe8, 0xeee4eac7, 0xa31bc121, 0xd80de2bb, 0x14f18f6d, 0x33c0bf88, 0xbdc10a65,
+    0xb7803c3b, 0x66330d21, 0x6416a705, 0x45fbb774, 0x961df61c, 0x48ed2cee, 0x2382acf6, 0xad22a0e2,
+    0xcd82621e, 0xce766011, 0xafeb33ea, 0xa60e4b18, 0x74bfd009, 0x455fa01e, 0x5b2aaa10, 0x2c77e4ab,
+    0x883486c7, 0xe1e60d64, 0xb03e7002, 0x5d318863, 0xf5ecdc0c, 0x25a0f258, 0x1decb5af, 0xf3fc42c4,
+    0xfe896727, 0xd50aaf9b, 0xa0459d86, 0xf5a902f5, 0x6d973f42, 0x4d9b1758, 0xb211068a, 0xd4efa7b1,
+    0x54d26dc2, 0xc309196c, 0x6692c85b, 0x4dc061e7, 0xfca0cb96, 0xfacd4185, 0xa82d5fc1, 0x99720035,
+    0xfef54aa0, 0xc889f875, 0x45be3b4e, 0x74583027, 0x92561c00, 0xae495729, 0x922a7950, 0x1e7e920d,
+    0x9454316d, 0xc3133435, 0x6a448e23, 0x6828f298, 0x05944a06, 0xa62b1dd5, 0xe77c0673, 0x2d263e3d,
+    0xb4aef551, 0x7691f37e, 0x60cea585, 0x2af7e087, 0x3602b845, 0xb6d95c5e, 0xbef51d1a, 0x47900c30,
+    0xe4513e0a, 0x8686547a, 0x7ca17e5b, 0x68b522f2, 0xbda71c62, 0x30eaa655, 0x573603ac, 0x35466c02,
+    0x7b699d80, 0xc4320d18, 0xd006ade2, 0x81ba3c01, 0xf2872ca0, 0x24c05a29, 0x49089754, 0xa0279808,
+    0xd7868ba6, 0x2c29c715, 0xdecb9228, 0xc4034baf, 0xec6bea4d, 0xd2df0263, 0x3f3d22c2, 0xb05aae8a,
+    0x26a58e9c, 0x6e02941d, 0xf0f9ed3e, 0xfddd5999, 0x6089d03a, 0xb8c8b94c, 0xa3d28ec0, 0x0f7ace6f,
+    0x0fbb9cc0, 0x67a9c689, 0x25a20de2, 0x9124b253, 0xc95740c6, 0x7dd7ab39, 0x6bbbd423, 0x8ef4de0e,
+    0x88900ebf, 0x3493aef8, 0x5f862df8, 0x38e5e66b, 0x7d86afca, 0xfd89e20e, 0xba2ead53, 0xb3c5a189,
+    0x498864b0, 0x91db7a56, 0x6e9f4b53, 0x0ae1edbe, 0xc971fc95, 0xa539ece2, 0x026569fd, 0xc9d324c4,
+    0x6fd59030, 0x7fa8f3c9, 0xd18c47f7, 0xb2951a50, 0x44793538, 0xc57b6fb2, 0x0ce6e10f, 0xc4ceb4f4,
+    0x49c60e0a, 0x022b14b2, 0x04d3e4e5, 0x3e391aa4, 0x729f3b04, 0xb70804c8, 0x9a2cc895, 0x5076f979,
+    0x51943f5f, 0x9a9ad017, 0x7e219131, 0x92c85060, 0xa0b9b99f, 0xff4ac078, 0x456fa2f1, 0x695b55e2,
+    0x0c89fbaf, 0x507d061e, 0x983caed2, 0xcbb8779d, 0xf8f0a9a2, 0xc02e6778, 0x665de022, 0x556aefd4,
+    0x453bfc49, 0x7deafddb, 0x9e679d98, 0x9185dddf, 0xdd9406e3, 0xc2c16c0e, 0xca270d01, 0xa81af4ff,
+    0x6cc88edd, 0x9a6202f5, 0x8b139cb1, 0x4c18b9e1, 0xb3217737, 0xdaaf6697, 0xee32ea4b, 0x82724008,
+    0x30ff22f0, 0xe5864f3a, 0xa2bb1c8a, 0x88b2ecf3, 0x1840e5d3, 0x5484cfd3, 0xa46113cf, 0x24d0d0d9,
+    0x38bb5e47, 0x9f04a322, 0xe91c30e4, 0x1b4b4b44, 0xf2734b56, 0xb8aeb73e, 0xb3b98e3a, 0xff0667bb,
+    0x5e10252d, 0x3b7d0c7b, 0xb67b6bd7, 0x2f9332ec, 0xb0fd666d, 0x3b9425fb, 0x3a7b66f6, 0xe90abdb2,
+    0x7fe7a414, 0xb0435a7a, 0x9770c535, 0x978bccde, 0x5cd5148a, 0x3f784a80, 0xe5d27d05, 0x4eabe07d,
+    0xc2df0ca0, 0x91cb8127, 0x8d6719cd, 0x82b2e0a3, 0x393690d5, 0xb4fdad4a, 0x7e32194b, 0x553053c0,
+    0xae92d27e, 0x6271979f, 0xc0fade2a, 0x9063a210, 0xceb22e6d, 0xf2413a2a, 0x6c90a57a, 0x7a65b897,
+    0xc3b83cef, 0x80722ad6, 0x2834a80a, 0x769fccb4, 0xa97fcf02, 0xc23f2df9, 0xbd8b1d77, 0xb6db08c6,
+    0x0bdf8222, 0xa869e04d, 0x288ca84b, 0xa74dd55b, 0xe8e56d0d, 0x48f83ba8, 0xf9370e1b, 0x8488a4bb,
+    0x9fb2cafb, 0x8cf60b3b, 0xf11ca1af, 0x92f02dfa, 0xfe8d2a07, 0x2007c8cc, 0xbd226ee6, 0xf7e1b873,
+    0xeefb4e06, 0x4f6d8ca9, 0x3091fcce, 0xee80ac76, 0x11ac0b5a, 0xdbcb6fd8, 0x398badc1, 0x3ebeb2ac,
+    0xb27e772b, 0x95e0a3cd, 0xd7875570, 0xe5ba228a, 0xbf88ea60, 0xa818966f, 0x4fff6657, 0x59bb8ccf,
+    0xb2bbae8e, 0xc10b4f33, 0x7b10101b, 0x5c8bfc8d, 0x1f89926e, 0x89629c62, 0x692ee4f1, 0x2b28e641,
+    0x46270b50, 0xbfa9c879, 0x07bc0270, 0xe4178978, 0x516ad717, 0x25fa0c10, 0xb684331f, 0x202ae8a5,
+    0x48674143, 0x519455da, 0x3790b63c, 0xd36e9dc8, 0x42a83a86, 0x997a3c6c, 0x734ca507, 0x2e9104c9,
+    0x23577a5f, 0x90aa501f, 0x4032e03c, 0xa08a3374, 0x668a7db9, 0x18765505, 0x266e17e8, 0x674489f3,
+    0x576ad9b2, 0xc3360d80, 0xc5974fe9, 0x83fba613, 0x796fbeaa, 0xd388036c, 0xd25b0ede, 0xd8d8bc3a,
+    0xad69d4c5, 0x4641a3af, 0xa2f2a6a2, 0x523fce0b, 0x6ea4ec5a, 0xcbcade5a, 0xc47b668e, 0x401866a1,
+    0x7c812bdb, 0x177aec69, 0x75ed096a, 0xd6c4c425, 0xaf789db0, 0x582d2035, 0xcfb5505f, 0xa0640b80,
+    0x1ba36138, 0x8bfb1a92, 0x0c08204b, 0x5a88c41f, 0xe528b6df, 0x34ffc3f8, 0xc6074f33, 0x48f6f73a,
+    0x800f3275, 0x5eaf5948, 0xe1757d81, 0xb5a311e7, 0x155321a8, 0x9bd8f982, 0xe104843b, 0x12f8ffda,
+    0x2a256e16, 0x376246b1, 0xea702b33, 0x4530bbad, 0xadfe06b4, 0xac3b98b2, 0xe4fb8f18, 0x5fcc753d,
+    0xb27cfd89, 0x360e332f, 0x46fcaf47, 0x97ffdf36, 0x76881419, 0xa655af2d, 0xa116f129, 0x383b6490,
+    0xeceef9a5, 0xcc6442f6, 0x5a57b487, 0x81748e7a, 0x83f479fe, 0xadd84362, 0xb72c9e4d, 0xa7751e59,
+    0x8a095fc2, 0x9a6538fb, 0xcc764948, 0xe3693d98, 0x4463960f, 0xa45a7403, 0xc456a6a7, 0x715236a3,
+    0x6533f42c, 0xd5ec796c, 0xf40b952d, 0x3c8478af, 0x031b3297, 0x191766f0, 0x68806af2, 0xc48dc678,
+    0xad3829f0, 0xa39755d7, 0xb7178832, 0x881b849f, 0x950ae473, 0xe9094c26, 0x8dde2ed4, 0x5dda18bf,
+    0x74c6601d, 0x7ebd7c4b, 0x2316e361, 0x5b07d531, 0xf6cea862, 0x43acda7c, 0x9163f2c5, 0xffe1a47a,
+    0xb7d7391d, 0xc0087926, 0x991c8a2b, 0xa1ab8311, 0x06707bc0, 0x9b61bb64, 0xfd77b3bb, 0x59a0fa90,
+    0x2abd7dff, 0x2292734d, 0x0d3bb628, 0x33e3e3d9, 0x6a0cdff3, 0xb81cd5d4, 0x07d9338e, 0xd930c0d3,
+    0x73b853e2, 0xa01a072f, 0x301e67c5, 0xe7903e00, 0x3599dcfd, 0x292c00f7, 0x72655f66, 0x0f24e924,
+    0xb52266d4, 0x4b010121, 0x75b20d79, 0x0937baa2, 0x0eaaff84, 0xc105c24d, 0x344d4c48, 0x9b15be5f,
+    0x2bec469e, 0xae3e822d, 0xcf707429, 0x6952e597, 0xe309b7a8, 0x59ab3344, 0x4403c41f, 0x0698adcd,
+    0xb6a4c6f8, 0xcd3149d0, 0x6f851207, 0xea26e3e8, 0xe52eabc0, 0xe3583caf, 0x9b9d5257, 0x8d688dd4,
+    0x4c53751a, 0xec58d58d, 0x5761c3eb, 0xf2c0ad7f, 0x3821f8cb, 0xa9d14736, 0x8c2b2eda, 0x8c6928c0,
+    0x6f8a0cc3, 0xde1ed52e, 0x8f73b4f4, 0x3d78ad36, 0x9f8a1459, 0xeedb1ecd, 0x5ddcfb02, 0x88ed4bf5,
+    0x79437673, 0x813f0bbe, 0xce9f814a, 0x0f1f8400, 0x534bb82b, 0x10a879bb, 0xde0b4d21, 0x96404e55,
+    0xc2552039, 0x07ae64e8, 0x16f26f1f, 0x62094583, 0x1290076f, 0xe3bc2510, 0x04795604, 0x0838c81a,
+    0x54c2c360, 0xb5a3ecaa, 0xa7610d97, 0x562eedf0, 0xefa78da7, 0x564a5099, 0x62df50e5, 0x4bfa7bf1,
+    0x4116eeef, 0xfd96ef5b, 0xca916922, 0xfd18e4ce, 0x2160735a, 0x81405460, 0xe8dfaa49, 0x1336b306,
+    0xb98024d2, 0x5dc2a4c2, 0xfbd57661, 0x69db0a2c, 0x16974f18, 0xaa1e0037, 0x8a8e8429, 0x9ea30951,
+    0xe43135ff, 0x0a71856f, 0x581aa3ea, 0xce0e0fbe, 0xb7099478, 0x5cbdcf13, 0x5d3b52a7, 0x6257340b,
+    0x76c477ea, 0x1207d0e8, 0xf8278194, 0x89899bcf, 0x2c3c37e3, 0x7f1bb696, 0xd402b1d7, 0x9af5bcbc,
+    0xd9f70a6b, 0xeed557aa, 0x69fb4fb8, 0x8d7b491f, 0x123f9391, 0x3fffc0cb, 0x294ab892, 0xc4165772,
+    0xc8851e1b, 0x381aff95, 0xabebf7d8, 0x7929b78f, 0x7d7b1512, 0x192fa442, 0xd58e27c7, 0xf68c6818,
+    0x111f22d3, 0x3cbebe66, 0xc02cb3bf, 0xda72c57e, 0xbf47dd33, 0xda40b78b, 0x91d8575b, 0x9049fe41,
+    0xaa2ab1b7, 0x178c6433, 0x8c339eb1, 0x7e399e7a, 0x7563caa8, 0x3753ae4a, 0xb054ff7a, 0xf4628a3c,
+    0xf810c6f2, 0x94ca7a0b, 0xed522e38, 0xe1cd33ad, 0xbcecf8c8, 0x1117d7bb, 0xde2db4c1, 0x70d6ad6a,
+    0x39df46d7, 0x98f90290, 0xf27dbcdd, 0x53e71640, 0xf3c093dd, 0x3059e054, 0xc96ce432, 0xdf7debd3,
+    0x02561c2a, 0x3ca1f850, 0xdcccec28, 0x4594f604, 0x2e1f6a9d, 0x49113823, 0xbeb72b6c, 0x63816e2d,
+    0x0e8d1e04, 0x28f1753a, 0x89ce319e, 0x138ae3f3, 0x994f0378, 0x8300862f, 0xae4dd222, 0x95204fae,
+    0x29973391, 0xc7bfa9de, 0x434d0dbf, 0x3a3a4f8c, 0x409aa851, 0xaff84abe, 0xf5cba9fb, 0xf6df8b4f,
+    0x53148b63, 0xc1bbba7c, 0x5e84045f, 0x029f3bfb, 0x880dabda, 0x9dce98ab, 0xf92d86dc, 0xa755c9e0,
+    0x58b76742, 0xceee3816, 0x996b8a3a, 0xeaaf6dd1, 0xe82fccbe, 0x08b33399, 0x94a7c7f2, 0xe249ca7a,
+    0xc744d4db, 0x1dd82360, 0x75cf76ed, 0xaed37a26, 0xf94484bd, 0xbdf28046, 0xa2766edf, 0xb7654641,
+    0x64627e0d, 0xa7856095, 0x5994dabf, 0x989c5765, 0x93f30718, 0x1ea1ce95, 0x498b9c00, 0xb85a9309,
+    0x00000000,
+    0x75a17ac1, 0xc497d56c, 0xbaa3e747, 0xcca1fbd3, 0x5cf0b3a0, 0x36d59010, 0xf675a9d2, 0x2d8abfc6,
+    0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000003152160495711558336982323208011489104406\
+                         37914163723573343586347233965774171977684891314130039079325126453023922454528 */
+  { 0x00000000,
+    0xaddf2a74, 0x9da78d97, 0x4b9a139b, 0xd1c6686a, 0x738db108, 0x0e515b2e, 0x89bbf243, 0x1e9a2847,
+    0x9214b77b, 0x458ffd51, 0x49a59bd5, 0x6e7f51d3, 0x89a57621, 0x59aeaff5, 0x29d6468c, 0xe5f0678a,
+    0xbf176fec, 0x29b9e67d, 0x2d7cc7f6, 0x318f1973, 0x1f97dbef, 0xd9c88940, 0xc2149ac6, 0x616a3caf,
+    0xf26861e4, 0xd62db6e2, 0xbd6ab22a, 0xeb338c29, 0xbb497752, 0x8c00912f, 0xfe4a337f, 0x5bf692ba,
+    0x89aaa9ea, 0xe8d87857, 0x0bab819c, 0xc0ba155e, 0x01bb9597, 0x7203cbee, 0x70956865, 0xd95628d0,
+    0xf0d61b8f, 0xd1fe2c08, 0x83b99c5c, 0xc4a4bc18, 0xb4b6a267, 0x79d99d54, 0x823fd744, 0xb604b2fa,
+    0xd403ab4d, 0x339b7b2e, 0x07168d16, 0xb4cc2e96, 0xeecd0135, 0x031c6344, 0x24ddb952, 0x35748246,
+    0x7b737df4, 0x6f6d0ed9, 0x6806ad0b, 0x0740b5f1, 0x3a47c0f4, 0x9eeb3937, 0xc4e389e9, 0x5d412807,
+    0x0b1af3f6, 0xdfbd0c6c, 0x1a418e57, 0x4d631ed1, 0x9bbc37cb, 0x172a0479, 0xc4a56f78, 0x91a15452,
+    0x63dd0d8b, 0x6f996bfa, 0x35606017, 0x10a166b4, 0x526148cb, 0x78270cc3, 0x87879b5a, 0x9c7b8614,
+    0xdb653a9d, 0x40216529, 0x837d78f1, 0x5deda34b, 0x63bdab4b, 0xa707a65d, 0xad0e0f5e, 0x8c3cf9b3,
+    0x3e7e5ac9, 0x075f4b3a, 0xa9483522, 0xa183fbae, 0xf539b5be, 0x91dae466, 0x25dbf54c, 0xe6b17be3,
+    0x9fefa85d, 0x4148ceb4, 0x40cacf6a, 0xd3d6cea4, 0x49799e0b, 0xf7fbb1ab, 0x7aee4c4a, 0xdd80ee5b,
+    0xb6db8bd8, 0x7db7a2ff, 0x7644a37f, 0xa57e0f7c, 0x219ac02c, 0x6a3c22b0, 0x31351287, 0x59415ec3,
+    0xe4caed6a, 0x44b52227, 0x1b8a390a, 0xc3fdd5fb, 0xde88348f, 0x457fdfcc, 0x836c4916, 0x06a1a74b,
+    0x5cf9c3c2, 0x559fd0b1, 0xa170df7d, 0xfed8c67c, 0xc703f2b9, 0xa7c7ba02, 0x12533f82, 0xef4ae327,
+    0x06488568, 0x2cea0030, 0xa5408651, 0xdfb0dae1, 0x2dd34db7, 0xa822fc43, 0x979616f2, 0x4417177c,
+    0x03c4b6bc, 0x027705bf, 0xc3dad952, 0xe383ba14, 0x11c81bbf, 0x19592b19, 0x4be9c704, 0x3b9ac34b,
+    0x64bd66c7, 0xac6b0b5d, 0xd2450a8b, 0x19b4c91b, 0xb62ca2bb, 0x54d80fa5, 0x524b528e, 0x233951e6,
+    0x7d3e59c9, 0x7697d3d8, 0xbb811c7a, 0x3bce2ddf, 0xc83c2bc5, 0x08e59c84, 0xe7b80094, 0x216f2c1f,
+    0xfddb998f, 0x157db0d6, 0xe69e9135, 0x606b2766, 0xc3d10f50, 0xc7fa01d6, 0x4979d8b7, 0x33e1a307,
+    0x5d786fe4, 0x1c3c7492, 0x77844252, 0xaa7ab815, 0xffeb3dc6, 0xe741dde2, 0x03a9d50e, 0x333324ae,
+    0xa53fab62, 0x9209decf, 0xf7df0cfd, 0x3c1f3d46, 0x16abe1ea, 0x2185b8d5, 0xc6a3741b, 0x13980721,
+    0x1f194725, 0xc0c0d901, 0xdcde504d, 0xbfabe520, 0x6d3e1ed3, 0x7bd309dd, 0xf0ba1d0c, 0x2d4bfdb5,
+    0x5c7e31aa, 0x66d724e0, 0x859d2e4c, 0xddba1fda, 0x068c6b10, 0x9ab20de5, 0x518e7060, 0xcb1ce606,
+    0x2a3429fd, 0xe4340505, 0xfbc3f61c, 0xf4b2a5de, 0x96ba2a07, 0x7bf49af5, 0xa7d54b26, 0x81aae753,
+    0x20df854a, 0x0153689b, 0xcecf6001, 0x8beccada, 0x1ec7485b, 0xf06d61da, 0x3c2f4a63, 0x5832641d,
+    0x8b971f3e, 0x2927a325, 0x18088778, 0x9f185a26, 0x5b6e4856, 0x3fce089b, 0xb60a20e9, 0x475bf9b2,
+    0x842afcfd, 0xb8a0b49b, 0xabc36d68, 0x787aaab5, 0xd7a9f80d, 0xdaa92c9a, 0xe61642ca, 0x8c7b9fe3,
+    0x0a5b5641, 0x41bfb876, 0xd52bc3ad, 0xf0cb8546, 0x73585fc8, 0x32162422, 0x6bf791d9, 0x59c30000,
+    0x6e6bccae, 0xc97973d0, 0x0a5591e9, 0xf87cd9e3, 0x226db226, 0x0e183126, 0xc1d511ec, 0xc064ed62,
+    0x684018ed, 0xa2e0ddba, 0xc4126da7, 0x7494ed08, 0x078290e1, 0xe54089df, 0xf626da0f, 0x851cd1f5,
+    0x81009ba2, 0xf9753f01, 0xc67d46dc, 0x822cb0c2, 0x3b085cf9, 0xf55d849e, 0x22cd7aaa, 0x32465fea,
+    0x92f58ba8, 0xed723237, 0xc23ab889, 0x436b5adc, 0x389d6577, 0x5137437b, 0xf35483d0, 0x5d10748b,
+    0xf5c03b39, 0x7b82bb73, 0x0c276402, 0xc0ec008e, 0x557a8f6d, 0xd603110c, 0x1b02d20a, 0xaa6939d4,
+    0x09077ffe, 0x367fb9a2, 0x3a9f2fb2, 0xf1dfafa7, 0x500d0ca1, 0x6de21fab, 0x4dfcb069, 0x08965a45,
+    0x4e01d6d5, 0x09251a6d, 0xf9bad458, 0xfa32e189, 0x7cecc0a1, 0xffcef4ea, 0x7dcd2683, 0xb7da2677,
+    0x852147e8, 0xa00e6dcd, 0x0fe97bc0, 0x53ef1664, 0xe834d458, 0xb6b2cbbf, 0x9a5ef99c, 0xb7bebb5b,
+    0xbbe983b9, 0xd1e94068, 0x861036a0, 0x2c303e0d, 0x7356f40f, 0x3a5618c7, 0x995f0fe6, 0xcf5658cd,
+    0xca70ca28, 0xf80e826f, 0xc0d48950, 0xcc264596, 0x095023f9, 0x14d68f25, 0x7a439d2c, 0x1692f629,
+    0xe4f05981, 0xe331b33f, 0x092fb97a, 0x8ce65233, 0xd2a2b387, 0xc8e58f7f, 0x5bd064a6, 0xbd8cb863,
+    0x103aa9a7, 0xdbe9b3a9, 0x87324225, 0x977e7b75, 0x5e4fc8a3, 0xc57021ff, 0xac036908, 0xa9248ea7,
+    0xa4e31d09, 0xa62f3ae1, 0x0b406c53, 0xaaa80e4a, 0xa8fa6f23, 0xeaba94f4, 0x54acb2b7, 0xb2973607,
+    0x9a36c9c6, 0x6ccd30b2, 0x973f9ebb, 0x48bc2e61, 0x3872e765, 0xc401d9ea, 0xa120b366, 0x16b5f398,
+    0x35ed2707, 0x845e05c3, 0x69985432, 0x2ae80a31, 0x36731e08, 0xcd80c01b, 0x20753222, 0xc9eb8bf1,
+    0x675f8bb7, 0x040719a1, 0x9e320206, 0x2787155b, 0x1acde8f7, 0x9f3d815b, 0x33e54541, 0xfe4d1987,
+    0xa5c650e0, 0x41cf2086, 0x5fa2876c, 0x04f41f67, 0xd3255204, 0x4b0d052e, 0xade25299, 0xd3279001,
+    0x135d0e1e, 0x88feb33a, 0xbe1e8b15, 0x740b1c48, 0x1ad8ea74, 0x5d623cfd, 0x8a475071, 0x8c3dead1,
+    0xe9b26186, 0x165f51d1, 0x296d306b, 0xf7ed0142, 0xbc822b36, 0xee6340d2, 0x45505351, 0x359e3a04,
+    0xbe459bc0, 0x08ecdc62, 0x16e9e6f6, 0x61bdea90, 0x980c567c, 0xa9e05ccf, 0x58275f28, 0xe0f90f4d,
+    0x944587ed, 0x1dd0655b, 0xe5c61663, 0x4aa6536c, 0x08825fbf, 0x9626404b, 0xf7cfa9a1, 0x4ebbdd2a,
+    0x73460048, 0xf1f1e794, 0x6b8751e6, 0x06116a46, 0xbf466f43, 0x65d348bc, 0xb11aee75, 0x34713afd,
+    0x587e8053, 0xfb06e17b, 0xde0bd67c, 0x4076cf8b, 0x9bc63766, 0x0ce5f1d1, 0x1c7b033a, 0x9cd2fd65,
+    0x7d8d7666, 0xa106d544, 0x54a7687a, 0xaed983a1, 0x7be9b9b0, 0x135401fc, 0xa9aaf1f9, 0x75c86e0b,
+    0xc57687d5, 0x7712e672, 0xef3aed89, 0x01129686, 0x8846c1ee, 0x702bca86, 0x9a5aa7b4, 0x035bd590,
+    0xc8103f9d, 0x909bfb5f, 0xe27141e2, 0xf1cafe36, 0x572abcbd, 0x6f65797b, 0xd92188ae, 0xf3461343,
+    0xa9ca2af2, 0x95dd7d1a, 0xd3c9c57c, 0xed09c928, 0x1797d050, 0x019db6af, 0xccd45e23, 0x18c7a7e8,
+    0xdbb9747d, 0x523aab08, 0x23824402, 0x99b36a49, 0x6e2b2d6e, 0x8606f550, 0x318baaa8, 0xe3c5481f,
+    0x620c81ad, 0x3b551c4e, 0x7feeadee, 0x09c94316, 0x32d515f6, 0xaccb5c15, 0x00454144, 0xeb8e8026,
+    0x434d8c7a, 0x9e78b8bb, 0x93ec30ee, 0x73e07535, 0x7f9ec545, 0xf7d99d81, 0x6ced5bc9, 0x6b45c3c9,
+    0x2c7894d5, 0x80504859, 0x67f42664, 0x61073ffb, 0x95057413, 0x383e187e, 0xd7485871, 0x9272e38b,
+    0x6a5cdd43, 0x2332bf77, 0xad080263, 0x7dd33376, 0x0e4f1aca, 0x70bb7aac, 0x7393aade, 0x99c2aa29,
+    0x7f0d844c, 0x9653ba51, 0x07596a84, 0x498db5d4, 0x5c0d3f1a, 0x5c155b91, 0x1fb35230, 0x587ceb7b,
+    0xc2edf3c4, 0x7557f4ec, 0x5857345d, 0x0bc811d6, 0x4b8123aa, 0x31edcba6, 0x5bad1433, 0x3caae399,
+    0x3cd63661, 0xd97bdf52, 0x35ee235f, 0xd8ba9077, 0x4f25b580, 0x360f2939, 0xa4484dd4, 0x15ae2473,
+    0x516220ad, 0xbcc92839, 0x77f0152f, 0xf27d8283, 0xcb0c7850, 0x470d8dd9, 0x9365cad0, 0xdb1e92ac,
+    0xa9317fbe, 0x5094feff, 0xc3c8c9fa, 0xe03b6dff, 0x6c1e8c39, 0x4ef123fb, 0x0c30b0f9, 0x88026db7,
+    0xe26451d4, 0xaf27313f, 0xfb51552c, 0xda5a6702, 0x7acae3c4, 0x2bd4112e, 0x71442ce9, 0x17089985,
+    0x40299d50, 0x86cf466e, 0x71a7cc58, 0x4788e21e, 0x9c574638, 0xc07ee74b, 0xa75c2c3d, 0xd9945b23,
+    0x0d902302, 0x75f29596, 0x9477d22d, 0xa9d3beab, 0x15e1e499, 0x9824ae01, 0x0e94d0e8, 0x9d119821,
+    0x83568663, 0xde3b6df1, 0x0d5660a3, 0x82e07388, 0x4b033124, 0x9f8f4e52, 0x96c20038, 0x99a55250,
+    0xfd68b8c8, 0x1a954429, 0xb6a45a57, 0x8e62aed7, 0x5b26651d, 0x6d62a17b, 0xb19be01c, 0x4c055deb,
+    0xa7fadbe7, 0x33f2ca89, 0xb66a7bbc, 0xe63d17cc, 0xeabf32b0, 0xfad7817a, 0x3a240683, 0xed150c9c,
+    0xa0b82242, 0x357a0b44, 0xf691e63a, 0x761ed710, 0x11508923, 0x0b208a25, 0xb6ebadeb, 0x6555ca03,
+    0xc3b7f87c, 0x4d79dc39, 0xf7e0f5aa, 0xa1d96d86, 0x25268632, 0xc99c9816, 0xfbac12ac, 0x3e9581bb,
+    0x2c0408a9, 0xb1fa5d37, 0x16d9a4a6, 0xa3f8b338, 0x6f4036df, 0x10a87dcb, 0xd90ac09e, 0xde4b9869,
+    0x1121ff49, 0x9ab151d7, 0x06cc7766, 0x2b3afaaa, 0x1498a1dd, 0x90d483f2, 0xcbb55051, 0xc9c3faad,
+    0xb8c9fe31, 0x563bfd59, 0x4363f82f, 0x11185739, 0x6c51c468, 0xb8e13ebb, 0x05cadbc8, 0xc5bb9fa5,
+    0x89e30020, 0x6b5f01a5, 0x27fcac60, 0xb9246350, 0x2a26da23, 0x644b8b31, 0xb4617fcc, 0x89f91d6f,
+    0x0250533d, 0xfac49da4, 0x923649fa, 0xc10be466, 0xec7bc1a7, 0x44706438, 0x07b9f61c, 0x9c4574ab,
+    0x99b191aa, 0xfdbba9bb, 0xe8fae473, 0x06697856, 0x4d49a8be, 0xb4a639af, 0xa9dd8890, 0xcb575766,
+    0xe88c9ece, 0x1b3bd930, 0x1947aa12, 0x1fb11fdd, 0x20e1af26, 0xf0a477ad, 0xb1e4ac00, 0x93c6e6ee,
+    0x7daa13a9, 0x4f579d81, 0xb385129e, 0xa5e1107c, 0x8017374d, 0x80e85d17, 0xdf3dd2ca, 0x4c42edcf,
+    0x96924869, 0x60e8b7b1, 0x59e007b0, 0x5ee585a9, 0xb8c07d21, 0xf46d3fe1, 0x1a012972, 0xedbc8594,
+    0xd3e0a375, 0xa2733a6f, 0x7930c7c2, 0xd2368eca, 0x3c9d1b54, 0x76b000ba, 0xccf3d606, 0x1059ae5a,
+    0xb42a6028, 0x37faa59b, 0xcd244126, 0x471f6f1c, 0x4c3f7863, 0xa30f32ea, 0x62c4f444, 0x74df8b88,
+    0xf1728b06, 0x426705f3, 0x35adabac, 0x070d9b2f, 0xa10bb55c, 0xfbf39531, 0x5a96c70a, 0x228302aa,
+    0x8f479775, 0x54a4e93e, 0x1b2e9497, 0x66db179e, 0xa36a6745, 0xd9c1e8fe, 0xe4716130, 0x3fc47418,
+    0x9485bb3f, 0xb99846ec, 0x6c404fbe, 0x021b0062, 0x3f79a8e5, 0x07c25f26, 0x385cc032, 0x0cd504cb,
+    0xcd21eba5, 0x9ee21a29, 0x862aec37, 0xa3c49f7b, 0x936de924, 0xbfbde9e1, 0x044ee61b, 0xa1df27a7,
+    0xd4c93fec, 0xa387b23d, 0x7e50d9bd, 0xebdf2907, 0xcec1ebe4, 0xad1ebdd8, 0xba63b4ab, 0x9223ce42,
+    0x7af8d0a3, 0x76d4fe81, 0xdaa1f692, 0x6886bb55, 0x00fe2dab, 0xe067b5ca, 0xb556a9ad, 0xc2739825,
+    0x62b6bbcf, 0x16d64c53, 0xa75ebd0e, 0xb1c165ff, 0x6c90c6c8, 0xdfc687f1, 0x789d53c6, 0x8ec33713,
+    0x52f3fe94, 0xdff01e09, 0x0168f5be, 0x4929f6fd, 0xf23282e0, 0x869396ff, 0x05d8b2b5, 0xc6878cda,
+    0x4221378b, 0xc5157cc9, 0x9282d580, 0x29b0f444, 0x4a2fc326, 0xc62276d6, 0xd1545bf0, 0x7047a524,
+    0xd9c881e3, 0x48266c5b, 0xe445f04a, 0xc4ca30f3, 0x181c8739, 0xe8e66e2f, 0x9071547b, 0x244389af,
+    0x5876e549, 0x8c3061d4, 0xb0e5a7c1, 0x6bc975f1, 0xfb62d332, 0x1a9ea01e, 0x31228e20, 0x3025aff8,
+    0x4c542a98, 0xf000ee03, 0x6f0e82d0, 0xdf65f5fd, 0x88f53046, 0xe47907d3, 0xf683fd11, 0xf0105650,
+    0x7a645bbc, 0x47d2a4ec, 0x650f9dc1, 0xc5698557, 0x2c29f039, 0x17372512, 0xa851d3e2, 0x6c2019c0,
+    0x5f6053aa, 0x63541811, 0x4f56c734, 0x4553afbc, 0x49a8a1db, 0xd9fb1a6b, 0xdb86a9a9, 0x90f513dd,
+    0xa6177a3b, 0x25cb444a, 0x6c1f889f, 0x11ee72c9, 0x373a4d4f, 0x1437c989, 0x4f5e6d9b, 0x28611799,
+    0x17402b70, 0xc8a1ee80, 0x3a886947, 0x0245d6bc, 0x0923c488, 0xafa583ea, 0x10ea445e, 0x753b6fbd,
+    0x7a48a114, 0x4b101fe4, 0x1e8a4352, 0x23c74bef, 0x0a13fc75, 0x4f2efd43, 0x900dac1b, 0x15df51e7,
+    0x59a9fa82, 0xc7222416, 0xc6f2f0e2, 0x9bc49450, 0x534fc3ac, 0xc6e95802, 0xca7348d0, 0x904a8872,
+    0xa078fc19, 0x67426fc1, 0x13757c6d, 0x422520a8, 0x4c6b2330, 0x8e7416de, 0xf50d32cc, 0x3666d324,
+    0x44e760f4, 0x449e06c6, 0x0063e0d1, 0x9fa3b51f, 0x57fe2db8, 0xbc44eb78, 0xef585957, 0x42ec4b4f,
+    0x14826ccf, 0xdb8f86b2, 0xa2f140ec, 0x3117ddd2, 0x3a466a93, 0x59b83ddd, 0x2abd3dba, 0x1e9f4892,
+    0x562dc4b7, 0x76761584, 0xa737183a, 0xa06f3500, 0x6911d45f, 0x31b2e25f, 0x2e66d7cc, 0x03342f9d,
+    0xd77983e5, 0xc924db84, 0xf501df9f, 0x5cb2db2a, 0x7220e945, 0xdc7c1867, 0x1e2bf430, 0x0f1a7e98,
+    0x57ea833a, 0x7a6eafd0, 0x1aa7a461, 0xcb0a89f6, 0xd68882f3, 0xb9c6b3c4, 0x6fbab686, 0x68ce1f69,
+    0x963098b6, 0x443b557b, 0x08c4412a, 0x3662a90e, 0xb2a6dbe4, 0x51ac1155, 0x5573b8a0, 0x34aa6ece,
+    0x04a37193, 0x2ba2ac01, 0x8e7250ef, 0x2c86b91f, 0x5bbadfa9, 0x511cc6b6, 0x74aa67b8, 0x0851568e,
+    0x7fab61f8, 0x417f6293, 0x5e971e05, 0x8068831c, 0x243b7068, 0x41cc3174, 0x0c26e206, 0x98346ed4,
+    0x722e1978, 0x7e6c07b5, 0x6ed04aaf, 0x5cafbd8c, 0x206fdcc6, 0x85b8d269, 0x9ed52cb3, 0xb63cc6d5,
+    0xe184864b, 0x1924ef56, 0x727dca9b, 0x9cd65e1f, 0x0141eee9, 0xcaaeef16, 0x4fbb59a0, 0x3c9e4104,
+    0xa9014854, 0xa47b95a5, 0xe5fa9c9e, 0x1c1c8b5e, 0x97da41bc, 0x4644c864, 0x895d48d7, 0xa2aa1907,
+    0x141eece9, 0x39692f04, 0xd50ed5ee, 0x8d950b13, 0xc2efd76b, 0xd0847473, 0x04e57a6a, 0xc0319690,
+    0x9000936b, 0x9dd2bfaa, 0xd278b4dc, 0x30a8a254, 0x129c9fbc, 0xba71137b, 0xa35abe23, 0xe3b84775,
+    0xccc16c5a, 0x81715083, 0xcc009e44, 0xddd20a04, 0x6080c785, 0x34f26c21, 0x8c4e7bcd, 0x188f71a0,
+    0xce59a7c9, 0x40e1bee5, 0xf14d01aa, 0xaef8ef63, 0x4cb06cb1, 0x9994a966, 0x24881895, 0xa55ff8ab,
+    0x23d2724f, 0x450d94ff, 0xbbdd9019, 0x341d9458, 0xf737046b, 0xc6b1437e, 0xe6c7b47e, 0x19eae622,
+    0xfd58eb82, 0x1495cecd, 0x9b6e3bc6, 0x0c7a8071, 0x76b5524f, 0x1b8e9663, 0x443f64be, 0x0b396612,
+    0x9772fc5f, 0x3b09fa75, 0xdfdab82c, 0x4e9f2df1, 0xf1dedac2, 0x1ad74686, 0xa28bf9f5, 0xe9000002,
+    0x08cef625, 0xaa619ed0, 0xb40a143e, 0x5cbfa5c4, 0xd8833a81, 0xd6a262d7, 0x014c4d16, 0x47efd3bd,
+    0xd6908580, 0x9e303ffb, 0x92e5bcd9, 0x1ea162e0, 0xafe3abb0, 0x4185489c, 0x0042c230, 0xf1864303,
+    0xa973f2ea, 0x83bd3afb, 0x896549ba, 0x82d24d0d, 0x30a6ece2, 0x2f74b24c, 0x805dd8b9, 0x999d34b0,
+    0x00000000,
+    0x3ad0bd60, 0xe24beab6, 0xdd51f3a3, 0x6650fde9, 0x2e7859d0, 0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3,
+    0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000001576080247855779168491161604005744552203\
+                         18957081861786671793173616982887085988842445657065019539662563226511961227264 */
+  { 0x00000000,
+    0x6c17d3e9, 0x07164ca1, 0x8dc6f72c, 0xb4799b3d, 0x4f22ad19, 0xb6a1f496, 0x92a9908a, 0x80ac5dc0,
+    0x5a131321, 0x7111e454, 0x2723ae33, 0x5cc60845, 0x9bc18113, 0x6796eb61, 0xe44f7bc2, 0x4c09fc93,
+    0xb1978545, 0xe1c2ce70, 0x558501f9, 0x073e777e, 0xd3147948, 0xc9465b87, 0x022a74bc, 0xc47becd7,
+    0x68c79b45, 0x86b5c48d, 0x1384b388, 0x411ce03b, 0xe9e00195, 0xd8fd4b18, 0x9046dff5, 0xf161a1b2,
+    0x406b05ce, 0xc8c229ed, 0x7556a0ea, 0x8623905f, 0x9bc76281, 0xc325ed79, 0x795053b4, 0x25cc83e3,
+    0xe8217a46, 0xd81fded8, 0x19cc789a, 0x73ff9934, 0x9c7b5e02, 0xbc9781cb, 0xf4aa2bfa, 0x489071f1,
+    0x6ce827e7, 0x614a2ef9, 0x6ce5f1d6, 0x92e3acfb, 0xa6510a71, 0x15840c77, 0xa0a25bc7, 0x9ab1901b,
+    0x836cb872, 0x02e17c56, 0x22208df2, 0x4a022a8d, 0xab4bc446, 0xc200ce88, 0x6d7e58a2, 0xc31fdd24,
+    0xe94b7ac4, 0xdb69b290, 0xc841fe36, 0x6d3c5f4f, 0x98d85c01, 0x4a3804ad, 0xc573f4ad, 0x8e3da7ba,
+    0x6bdf4c2d, 0x8b7fba24, 0x3876d207, 0x64b74100, 0x3b3d0934, 0xa5842ebb, 0x8c1b8e07, 0x4a9c7b07,
+    0xbc92677f, 0xe2656eff, 0x6cf68692, 0x6473a7b3, 0x41088341, 0xcce8756e, 0x9d23a9e4, 0x295d62bf,
+    0x59112f79, 0xfd139e50, 0x999fc7f0, 0x9b0b9985, 0xd591d89d, 0xde03cea4, 0x1e072e4a, 0xc43af9b2,
+    0x332cbee8, 0xbe16304d, 0xe7993c76, 0x54ae9384, 0xbe1d9200, 0xc2aabed1, 0x4f619a83, 0x90cacf6a,
+    0xe6c3b67e, 0x93b40e1c, 0x4d99fa37, 0xf052d84b, 0x8cab6a89, 0x0d136e3b, 0x9c6e9d36, 0xf68c4a4a,
+    0xe489ac7b, 0xc9ced231, 0xd5ba678d, 0xdc3abec8, 0x13744842, 0xab133f16, 0x6991fbd0, 0x569af4c2,
+    0x524f01c6, 0x5c5cd858, 0xaf60a051, 0xea320a8a, 0x1b56e90c, 0xef7a41cc, 0x83980868, 0x41ebf474,
+    0xba1ef89f, 0x18440e7f, 0xc9fd9d6d, 0xed56dfa3, 0x78b210da, 0x5677fadc, 0x84c4b2fd, 0x94db8dd7,
+    0x5a23b166, 0x38096878, 0x9c46eee3, 0xad121ce5, 0xbf28bb8d, 0xe523eee5, 0x978be46c, 0x2c57d1ae,
+    0xda58678d, 0x0a29d8a4, 0x3b515a8a, 0xcee0e04f, 0x6fd1d307, 0x6f66d7ab, 0xccfaf6c8, 0x7004e79d,
+    0xdbd33253, 0xcfe1fad5, 0x0efd72c0, 0xa593a77f, 0x6956540f, 0xf92995a9, 0xc9395b2b, 0x7b4b5b5c,
+    0x40a7b000, 0xeb9b7c49, 0x864c5e6e, 0x0dda1e22, 0x4ef847b5, 0xf40c92c9, 0xae7620dc, 0xc22dea66,
+    0xea3f0c39, 0x0d495e99, 0x742db6bf, 0xb91a8016, 0x379f2aaa, 0xd919d60e, 0x4476248f, 0x5f5a7ec0,
+    0x5727619a, 0xceaf43ff, 0x1941a826, 0x3730feb9, 0xe5cc19cc, 0x177c3f08, 0x05825231, 0x01751fbf,
+    0x7582f8b8, 0xa51657c4, 0xc0e3bd25, 0xc9f512f9, 0xc08a623b, 0xe3e2daae, 0x9fde23ea, 0x7f9202a4,
+    0x0d8c88af, 0x006d613b, 0xc8e34f2c, 0x9351d84a, 0x223abb29, 0xa3cb90c8, 0x326a5e2a, 0xab8468c3,
+    0x40dd8d95, 0x479c9523, 0x68eaaee2, 0x79d7ff26, 0x61dda830, 0x5ec91887, 0xbfb126d9, 0x3db2f357,
+    0xf0a7611d, 0x2054d24a, 0x13ce2e38, 0x59f3a339, 0x8f0b3859, 0xe668cb4e, 0x712af862, 0x3c585d46,
+    0x1e88495f, 0x3f3d395b, 0xc267ae9f, 0x42d53de2, 0x6f6abd5b, 0x338a22ae, 0x77461878, 0xc2bdd93d,
+    0x92695239, 0xb351ba43, 0xb5a44e73, 0x705f657e, 0x95779151, 0x87a32d3a, 0xdd78419f, 0xa6213dda,
+    0x092afc4f, 0x9df32179, 0x46ed1251, 0xa7901022, 0x7c461f5f, 0xf3ed9b5d, 0x4f38ad89, 0xdcfc1e7c,
+    0x8fe2bd57, 0x8f2c2012, 0x0dccefbc, 0x5e47e062, 0x7a0f8627, 0xeb4b3bb1, 0x80e899ac, 0x66832c1e,
+    0xb7ea04f7, 0xedef1de8, 0x0a8a61d9, 0x96ab18ae, 0xfaa6f64b, 0x93bc8a5c, 0xc6882edf, 0xc1a93585,
+    0xa90e4c89, 0x82a720c0, 0x494a1eec, 0x4e27f47e, 0x651c990f, 0x44c0cd8a, 0x729244ee, 0x31ea2792,
+    0xe53b71df, 0xfce2bae7, 0x5386870b, 0x930073e0, 0x6e87487d, 0x435ee2b2, 0x04c30006, 0xd53d72b5,
+    0x452b9091, 0xc81d6283, 0xdfceffa8, 0xdf8977e0, 0xaa7a6df9, 0x60c52902, 0xff36d270, 0xe850750b,
+    0xb8651600, 0x908e2a3d, 0x1b09ed9c, 0xba646e59, 0x96c2a4e6, 0x0b176f3d, 0x61d3db60, 0xb5e157e5,
+    0x77097945, 0xe2eb3841, 0x45adf528, 0xe88d8d18, 0x074cbcfd, 0x0174bd35, 0x8aa62d39, 0xfee484ee,
+    0xadf002c8, 0x59f2e385, 0xa481a50f, 0x8448e0d2, 0x54443a86, 0xcba3cea5, 0xe61a92c5, 0x3c27d3e3,
+    0xbd44ff94, 0x9aa0096c, 0x30f10dc7, 0x1100b313, 0xbdba19ab, 0x7433c976, 0x5e43b4bd, 0x72ed30f5,
+    0x43f74ee6, 0x00d2b96d, 0x24b8e1b7, 0xd37aeec8, 0x2f7ad175, 0x6c8f54e1, 0xb1df0a08, 0x2cc8c469,
+    0x3f979a03, 0x39ee920b, 0x7f3d2d45, 0x3dab5814, 0xbb82c275, 0xb0c06aee, 0xa54441fb, 0xffc936b2,
+    0x10903db3, 0xd866e9ac, 0xf21eb602, 0x85fa5dbd, 0xecfcf2e9, 0xfcff3acc, 0x7ed55d3e, 0x89100cf5,
+    0xf5a97073, 0x95da89a1, 0x001285d9, 0xfbce6cdd, 0x3825d3a8, 0xdfb2afe5, 0x84a95b45, 0x399fe527,
+    0x26bb9271, 0x9eeec379, 0x6b538bbc, 0x51ed7a96, 0xaa903fba, 0xfd7ec8c6, 0x83d16e1c, 0x05cce89a,
+    0xc0ea91b6, 0xba7e34c6, 0x832d674e, 0x449499e6, 0xd2883942, 0x46b73051, 0x3ef92782, 0xe178c979,
+    0x383da77f, 0x9846b5c0, 0xbe3a8601, 0xf6e21a54, 0x75db6df5, 0x3f850370, 0xcc2e91b3, 0x8a2b78b1,
+    0x63cbeb04, 0x777cfe9b, 0x9064d7e1, 0xe58dcca6, 0x6e32fb74, 0xb0950af7, 0x9d674d71, 0xc1eaaa10,
+    0xb84c2bf7, 0xd9c5ada1, 0x83a31b2f, 0xcfe07b24, 0x4741ddbf, 0x509f54cf, 0x2d3ab19b, 0xa573e480,
+    0x3a00b1d6, 0xc8a703d1, 0x51c9c416, 0x62a14919, 0x973afa9e, 0x03b5c911, 0x8c2505d2, 0xee06ae4a,
+    0x3f22c6d5, 0x80311326, 0x8718e1ef, 0x5e441bb6, 0xc8a92006, 0xef76d824, 0x0bddeb56, 0x617b3f0a,
+    0x7143ebbf, 0x40777cf2, 0x4d653b07, 0xc0a3bb9d, 0x70eb708c, 0x07aa6832, 0x6b5839da, 0x57df1b12,
+    0x8b33bbb9, 0x8a2e3369, 0x1cde9bf8, 0x8661c06a, 0xa4e1dc06, 0x1dfd7476, 0x558f9d89, 0xf758ea3b,
+    0x201698ff, 0xcfdba8df, 0x6fccba22, 0x4be8e01b, 0xd8d0bffc, 0x249255fd, 0x1b498fb7, 0x0d384d16,
+    0xb7534833, 0x2afabb96, 0xd3de7b09, 0x7e27f3da, 0x2eb2df3d, 0x398541c8, 0x7592a355, 0x15d3a4ac,
+    0xac87665b, 0x14ae9b6b, 0x831b34dc, 0x1ab0cd37, 0x88c93cb1, 0x6ba045d5, 0x188bf518, 0x509cb0b2,
+    0x2129f653, 0x07895edd, 0x42ac9d03, 0xb1122655, 0xa7bbf5d9, 0x1602478d, 0x31f51157, 0xb668876c,
+    0x791363bb, 0xd05f03a0, 0x894a773f, 0x6bcacc17, 0x2b01410a, 0x122e6d25, 0x102e3807, 0x482c1efd,
+    0xe1d14820, 0xb7c2b181, 0xc1b9e987, 0x8a0e89f1, 0x19de51c8, 0x03747ad5, 0x6a20478c, 0x0cb5f08c,
+    0x4ecee812, 0xdf16981b, 0x0aa75bff, 0x79d59edf, 0x3e8d7173, 0xb5e50cc0, 0xfa7e669a, 0xda55035a,
+    0x8cfd0a0c, 0xdcaf32fd, 0x54a4e25d, 0xd2151c89, 0x3f7235f0, 0x018ee2d7, 0x25d894ea, 0x3592758c,
+    0x7f0f0841, 0xb1b43791, 0xa588ea26, 0x362de1b0, 0x6a4107e0, 0x8dceb47d, 0xfd67bb70, 0x0be7684a,
+    0xca2b83fe, 0x61a3e094, 0x8e869112, 0xcacf48d8, 0x3dc3b2a1, 0x79216764, 0x9cf12b0a, 0x59164925,
+    0x0c3b2f67, 0x4e75373b, 0x35f8846a, 0x69edae0e, 0x76197fcc, 0x0c109c00, 0xcb38dad5, 0x19a39ed7,
+    0xfc8a5bd8, 0xd2af8954, 0x13d83899, 0x4607bedd, 0x3545454f, 0x2e5b3dbf, 0x869da65f, 0x4c267553,
+    0xfa8c5b28, 0xb6a66171, 0xcd02ae67, 0x614759e4, 0xb62cfc2c, 0x880d561d, 0xa968d805, 0x7f22ef9c,
+    0xc9d02f29, 0xcfe9422a, 0x7b188e1d, 0x6ab85569, 0xd2fdca8a, 0xc48ca98b, 0x50f93fed, 0x0b7369f0,
+    0xd20a378e, 0x3c149376, 0x05c1f334, 0x1e5e43f4, 0x4ad68826, 0xc10b6f1e, 0x2d366b0d, 0x00f0ae27,
+    0xa0898685, 0x799fae94, 0x21a65085, 0x497e829c, 0xe493a408, 0x2db45a56, 0x397e08d0, 0xe99d12fd,
+    0xdfd65771, 0x1e6bb309, 0xa9ee21c1, 0xa522bf58, 0x69b8d5c4, 0x48866aa2, 0xcda22c15, 0x37763008,
+    0xb4d89201, 0x169100ca, 0xb8c634aa, 0x2dcb834e, 0xfae43144, 0x10bcb444, 0x753f3133, 0xb498c802,
+    0x332ac480, 0x63c1af8c, 0x42b5303f, 0xbd9c4d73, 0x1e51cbd8, 0x800d3d73, 0x53e4699e, 0x85aaf1af,
+    0xa7d3481c, 0x3058db38, 0xc13c42f6, 0x063cca7d, 0x9ef4d48e, 0x7553828f, 0x03c75b5a, 0x1b6c419d,
+    0x353c0246, 0xd9b79208, 0x6b994e1d, 0x169176cf, 0xeae5940e, 0x0ab564d3, 0x1b6b1bcf, 0x683f9931,
+    0x3644df4e, 0xd641493c, 0x56ab04fb, 0x06448c3b, 0xd49bc4b5, 0x7eed6d12, 0x1e1b0769, 0x6ca9cdc4,
+    0x0c243d60, 0xe14f213f, 0x7a844772, 0x727114d4, 0x535c8d8d, 0xaf464126, 0x914c3d4c, 0x535967c8,
+    0x96bf3dde, 0x1ce5197f, 0x633cde1c, 0x20db0008, 0xc33b7bbe, 0xd6bdd245, 0x640375ac, 0x06d67e2e,
+    0xcc87a229, 0xb95bc2d6, 0xb45e1683, 0x782957f1, 0x911f6552, 0xd48ea632, 0x3785e012, 0x2b4d36cd,
+    0x37d36a57, 0x8d9d9b2e, 0xfac8b252, 0xd0941ffc, 0x727a446d, 0xe3d58c98, 0x2a64c4df, 0x7611e302,
+    0xdaee2262, 0x9bd79d1a, 0x707b2eb3, 0x8e3b417b, 0x12574309, 0x0d9be442, 0xfec056f7, 0xd3db59ab,
+    0x43193e94, 0xdb334bb9, 0xa5c55ef2, 0x97bfb8b0, 0xa1e3ccf9, 0xe394d888, 0x4fbfb288, 0x0dc8c092,
+    0xb4248118, 0x8640aa8d, 0xc1caa9ef, 0x221fb0d6, 0xc534990e, 0xc7f9a5a6, 0xa50eae4a, 0x8ab9aecd,
+    0xab97becf, 0x9832a076, 0xe8a0d022, 0x0e6286f4, 0x473c7494, 0xdaa51c26, 0x91420fa8, 0x43d28563,
+    0x11a03f5d, 0xe669e748, 0x79a2a95c, 0xa6e7a532, 0x6606c51e, 0x4423be85, 0x7e694006, 0x77e52344,
+    0x9606527c, 0xb4b1c19b, 0xd40e44fe, 0x714fda1c, 0xc9b91f21, 0xeeaf408c, 0x0b35c15f, 0x4a4d9013,
+    0xe606c130, 0x609d2791, 0x761e477c, 0x05ba5f65, 0xc99cad05, 0x898daa19, 0xfa14be9d, 0xb2b3f726,
+    0xa740d558, 0x2e8ec6c6, 0x83ccf1fa, 0x5ef48253, 0x0de02abc, 0x4e67806c, 0x8c488c85, 0xe42760db,
+    0x14678ae0, 0x6c0c84cd, 0x237cbb6e, 0x765772fc, 0xcc2cfaaa, 0x775328da, 0x8f3e8ed8, 0x0bafcfd6,
+    0xd01d95fa, 0xa8b951fc, 0x578fca32, 0xfb5195a4, 0xb4fe77dc, 0x43a42033, 0xcd852168, 0x745b61eb,
+    0xda6da680, 0xa05cf680, 0xc9096673, 0xb0adf732, 0xdb513526, 0xdfce0fa2, 0x8f83770b, 0xae1a98e3,
+    0x8a05aa1e, 0x08ce2359, 0xaf1a51c4, 0xd28b8a01, 0x5351b486, 0xfcd3b74b, 0xb98d3415, 0x4f6ccf6f,
+    0xf9c30e37, 0x8b49d62c, 0xa2e4a140, 0x81f556d6, 0x8b578add, 0xdb71dde2, 0x5b2c4091, 0xd0cdc1bb,
+    0xfbc7462b, 0x0c353750, 0xc59a611a, 0xcfaa1f7e, 0x5f986158, 0xe175887b, 0x5d061b2e, 0x5c5d888b,
+    0xdd324ebc, 0x9b2865ca, 0xa895997b, 0x10d14c8c, 0x1c709af2, 0x49e889f4, 0x1966f0a3, 0x9b797eb3,
+    0xbcb04d5e, 0x51d87aa7, 0x76d23c70, 0x8bdb27fc, 0x64dbf1c7, 0xd983e1e1, 0x07e878c7, 0x4403c7ad,
+    0x99506e0c, 0xb3c4f6f5, 0x1f6c103a, 0xfc4e6bed, 0x7a40b780, 0x01e3d198, 0x092221e5, 0x28591fc6,
+    0xc2ca53f8, 0x10020407, 0x67e0cde3, 0xb361a64b, 0x454a4cb6, 0xe516114a, 0x25659f04, 0x91eb8850,
+    0x27ea52ef, 0xf9d1c1d9, 0x0e9abbe3, 0xb8959410, 0x5c6d3fca, 0x65463d88, 0xa4190abb, 0xd0f9601d,
+    0x17889092, 0x9d8c4ecb, 0x1205a008, 0x5015bb4a, 0xed76a65b, 0xe1236799, 0x60ff5b62, 0x4906ad58,
+    0x5eefc488, 0x81bcf43e, 0xd7b69617, 0x1286fb55, 0x21ea89e5, 0x5cb1698d, 0x8c824334, 0x8b52be58,
+    0x3051342d, 0x9517c8ea, 0xdd24be57, 0x246e5539, 0x1bc53c9b, 0x04b0af86, 0xfaad9267, 0xfdee41cc,
+    0x81216fe8, 0xa7a49e0c, 0x4f1af3a9, 0x2ed80a21, 0x1caad284, 0x9a15a961, 0xef1eae7f, 0xa803fb67,
+    0xbb28cd29, 0x8d2fa8a7, 0x4f948c2c, 0x4a8bfa94, 0xd11536c6, 0x299a723f, 0x7090df19, 0x22aacea7,
+    0x1c2446e2, 0xd760762b, 0x0b5d9957, 0x8f414c49, 0xcf94c1d7, 0xa688fb59, 0x5482d1a0, 0xee68fdf9,
+    0x81ac915f, 0x1012ff2e, 0x61eb0ca6, 0x46005979, 0x3abf9a73, 0xcfd61fc6, 0x48b9502e, 0x9d95cf8e,
+    0x51e2f315, 0xa6c1620a, 0xc8d6d63c, 0x00d45b85, 0x60096012, 0xd1a8caf7, 0xa93cedf5, 0x35f551e0,
+    0xe936fded, 0x779446e7, 0x6941a9a3, 0x005b13b9, 0xf60c2492, 0xeb71c604, 0x6662e11c, 0x0093d216,
+    0x0b4c3fe5, 0xed30d847, 0xd710369b, 0x3ca9f606, 0x87f2f3fa, 0x9db81906, 0x6661d7b6, 0xb1a71f66,
+    0x3f8e4693, 0x5c301265, 0x495eb0c6, 0x32ad8d7d, 0xc5714d43, 0xea2d51d3, 0x1fb0bb71, 0xed38e735,
+    0xb277c64c, 0xc55fb1bf, 0x88eeaa53, 0xd8f7f8de, 0x66cf01be, 0x302c104b, 0x464dbd63, 0x6e5eef65,
+    0x338821bd, 0x4b539d9c, 0x63f8836a, 0x52b4459c, 0xe674a74a, 0x35fde87f, 0xcad5ca87, 0x98c4e625,
+    0x86edff25, 0x4fff5f7d, 0xa63c6608, 0x66ef175a, 0xb5c804f5, 0x789baed5, 0x7adbaa16, 0x1cd9cc44,
+    0x8187b3e4, 0x881599b1, 0x31f8c66e, 0x0d41b47c, 0x6e87fad1, 0xff030039, 0xde919338, 0x6b9b88e7,
+    0x657f5725, 0x8cae8ad6, 0xa80c708b, 0x80d7ea31, 0x3d862b9c, 0x1733d6c5, 0x68c6786c, 0x57fa91d4,
+    0x5c8ea87e, 0xb0d511ab, 0x93b0ee24, 0x66bb2253, 0x409d9e1f, 0xefb390f8, 0xb4ce5ad0, 0x776123fc,
+    0xc9702dc3, 0x182bdbbd, 0x01c068b1, 0x90b08d9d, 0x3458fbe6, 0x57e6a169, 0xcfd23440, 0x303337d6,
+    0x9b6d6244, 0xe486141d, 0x6a4cd9aa, 0x75bcc6fe, 0xb0c368d8, 0x09f08689, 0x5c75eab9, 0xbaa7ce95,
+    0x82f0476a, 0x43e113f4, 0x6c1875fd, 0xa3b014de, 0x1e09b20e, 0x77101799, 0x4a70a063, 0xa670b8fd,
+    0x02176bfd, 0xc9ca405b, 0x6f867132, 0xceaecff1, 0x4e3bdbf2, 0x7415fac4, 0x393b4496, 0xda5aa076,
+    0x58389427, 0x42fa1b10, 0x896810df, 0x68f25f08, 0xb2ef7c1b, 0x79f7633f, 0xd159d841, 0x913a9050,
+    0xf2a61ae8, 0x35c0c3fd, 0x3053866a, 0x64f7aa0f, 0x4465fa18, 0x94fba695, 0x34a92186, 0xe7d77101,
+    0x2b885fc6, 0xf014b9d9, 0xd0750994, 0x64d11523, 0x60b7ce9f, 0x3e647baf, 0x1b56237d, 0x9ecda0bc,
+    0xe5539dd7, 0xcf149d49, 0x0bd82491, 0x9834a14e, 0xad5e0d51, 0x0edd9099, 0xa04fbd56, 0xfae7a078,
+    0xf61ade48, 0x8a05f6cc, 0x510909e1, 0x9bb3f271, 0x185762cb, 0x3a44e8b7, 0xcfb413d1, 0x7781a452,
+    0x0f150a8d, 0x50ed454c, 0xbd923437, 0x1341a8f7, 0xcc38b869, 0x589642a4, 0xd6af1283, 0x6de8cfac,
+    0x9f11e6f4, 0xad1f4a40, 0xa311b931, 0x2b4e0a54, 0x10b38384, 0x0d50672a, 0x1adc16d3, 0x435ae8ff,
+    0x4712e60e, 0x95aef93f, 0x0d39d443, 0xc525d235, 0x1560aa3e, 0x6f8c9030, 0x84510d9e, 0xc64e4b78,
+    0x00000000,
+    0x1d685eaf, 0xf125f55b, 0xeea8f9d1, 0x33287ef4, 0x173c2ce8, 0x8db56404, 0xbd9d6a74, 0xcb62aff1,
+    0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000788040123927889584245580802002872276101\
+                         59478540930893335896586808491443542994421222828532509769831281613255980613632 */
+  { 0x00000000,
+    0xbb3fc1e9, 0x6bba3d51, 0xdd8c1bd8, 0x12a5a3df, 0xdc1a9196, 0x12ddbbf8, 0xa2aab7ba, 0xd979c403,
+    0x9efc4df0, 0x24d513f0, 0x75563795, 0xcee43d5d, 0x69a60f36, 0x55ba2304, 0x473a72e9, 0x5e3dd9f7,
+    0x35058ef6, 0x2e17b696, 0x6073fc73, 0xbdff4a33, 0x38102b75, 0xb05ca91e, 0xba3a36fb, 0xe358c6d9,
+    0x2a1f6bc5, 0xd814d80e, 0xb31099e0, 0xd911e085, 0xbcbd5088, 0x93662332, 0xd217d5b4, 0xf27ecd81,
+    0x63399a0d, 0xde3e4916, 0xb23878ba, 0xe02fd458, 0xa2cf2086, 0x536ad4b9, 0xd0a3d2d9, 0x185b4836,
+    0x72f19be6, 0x0d92a369, 0x66cafdd8, 0x58cd9f80, 0x25e0ba6d, 0x0c0213d0, 0x3281c605, 0xbf7ef0b1,
+    0xdbf5c665, 0x5d07363a, 0xb3740e27, 0x067a3321, 0x96710cd3, 0xddb082f0, 0x67e0fbfd, 0x41f2a360,
+    0x0c905417, 0x56abb9cd, 0xf64dcdc7, 0x576775bb, 0x40e05073, 0xec8e9b97, 0x0022e1e6, 0xd12fc43c,
+    0xaa4a5714, 0x4ca19a67, 0xe549428a, 0x673af549, 0x8bd297cf, 0xb7ce83df, 0x68d5f2bb, 0xdb5fd00e,
+    0xb2e6c2e3, 0x3e3d459b, 0xed3fcf21, 0x0e0f1e79, 0xeba76ecc, 0x8d0424ea, 0xe0614b1f, 0x5895c716,
+    0x26cb8bba, 0x6d430a06, 0x45d7ad1f, 0x98011dc3, 0xafba130e, 0x59aea603, 0xad34f072, 0x92d878fa,
+    0x113c936f, 0xbca28511, 0xa814bac1, 0x0fb1f3eb, 0x170e6784, 0xaf805784, 0x1a627001, 0xd2baaa61,
+    0x71033a4d, 0x079ab755, 0xffef5fdc, 0x852491bb, 0x911a563c, 0x19e7893e, 0x3947d33d, 0x457b77e2,
+    0xe5a00ebe, 0x67e1c370, 0x8d4aac03, 0x05d9cfa4, 0xe69b1e37, 0x670cc94a, 0xac60fcaa, 0x6fd06ab2,
+    0xd3d01d92, 0x420b3ee0, 0x5ff12cdb, 0xabc82277, 0xeb0d1915, 0x8b47d45a, 0x94aaafed, 0x89996392,
+    0x5bd23beb, 0x267dbc7d, 0xe2ec556d, 0xb03e900a, 0x86eaa67a, 0xbe3b3c19, 0x023de120, 0x63463924,
+    0xa6e1b11d, 0x99d14d29, 0xe1e67abf, 0x7298ea68, 0x3f34ca0a, 0x5e224934, 0xbf923dd3, 0xc48e8056,
+    0xf45747a7, 0x5e5411c4, 0xcbe7b76b, 0x27b2d06a, 0xbaa45638, 0x095178ee, 0x869c6ce7, 0x63328f39,
+    0x8720cde1, 0x1e27810a, 0x08d545e0, 0xe213d458, 0xe20e642c, 0x7fabd8ee, 0x22b1b168, 0x1bb0c679,
+    0x5b2af2c1, 0x58a28136, 0xda6e8432, 0x3659706b, 0x6c918ebc, 0x51cb675d, 0x898319c6, 0xc6425e46,
+    0x9fd1b41c, 0x370a6091, 0x921196b6, 0xf4aaeaaf, 0xb2ed8187, 0x102703ee, 0x3445b7f2, 0xc49c716a,
+    0x6a81674b, 0x7179edf3, 0xbb57310b, 0xa53d9526, 0x4cea406e, 0xfabc0523, 0xd0ada406, 0xeb707de2,
+    0x4e6c4023, 0xe8e69de6, 0x6c53b062, 0xf8a45fb1, 0x1cc3c221, 0x003ff9c6, 0x7a5c0540, 0xa669e7c9,
+    0x674859c2, 0x4752ef67, 0x112fdc8f, 0xbaf7dace, 0xe5bcbdf4, 0x179892d6, 0x566c9eb9, 0xa226d98f,
+    0x2d98a37b, 0x75eb5e12, 0xd11e64fe, 0x16463746, 0xaafe51c7, 0x35f2fc1f, 0x6f521790, 0xb4810b6f,
+    0x2bfe2ecf, 0xf37953cf, 0x7b1b6cf6, 0x810998ad, 0x38e8ca86, 0x5311393a, 0xa33a1e19, 0x23791a1f,
+    0x084ebba5, 0xf72ca7b5, 0x210879ae, 0x10ee466e, 0xdcb7a5d5, 0xaae7844e, 0x25544232, 0x00cd5101,
+    0xb09680e1, 0x0a0fc90d, 0xaaf46dd1, 0x1078c187, 0x5d54d90c, 0x3c88fff1, 0xa2dbcb3c, 0x8c3996a7,
+    0x3307c3b8, 0xe9e0c658, 0x2ee05f1f, 0x172c1fac, 0xb2a0e00e, 0x1a03ac92, 0x8643b6b8, 0xbed2f745,
+    0xa8e4f6bc, 0xfa4a85b6, 0x14c8a01a, 0x97bd0453, 0x6f8644d8, 0xcab0e798, 0x0de94e78, 0xbd4b65a5,
+    0x5eef2375, 0xb0486041, 0x85644a08, 0xf40019ca, 0x14c96358, 0xc008a57a, 0x9de2aca0, 0xde9d5a89,
+    0x5c3260c2, 0xba4badba, 0x24648c66, 0x40757cba, 0x0d19e873, 0xdad81270, 0x2d6d5454, 0x755b9177,
+    0x769767ad, 0x5f117072, 0xbbcb0ade, 0x431f6fbe, 0xdcf4e208, 0x37ad0c17, 0xc370023e, 0xa82940ec,
+    0xfa5cfe60, 0xc8e82637, 0x4d785442, 0xfa5a76ef, 0x5ff34231, 0x11128e9f, 0x0bfd2d42, 0xb1485e8f,
+    0x3c1ed95b, 0xcef236aa, 0x61b6b055, 0x67f94967, 0x55d05bc4, 0x1908f334, 0x4f904fed, 0xa32e7765,
+    0x1746d6f3, 0xd2701c80, 0x86cb5ccb, 0xd1939d9b, 0x82fff9a7, 0xe598673d, 0x41f716ce, 0x2898fa1f,
+    0x9cb9613a, 0x5acbb4f0, 0x607e5c5c, 0x4b56c969, 0xe129e503, 0x07d5d2d8, 0xc04ae339, 0x4c8598cd,
+    0x62dcd690, 0x371f23e7, 0x73000e0d, 0xcf7c20c3, 0x4e8b3391, 0x7c9b33e0, 0x9dd90889, 0x2b530e2c,
+    0xb210fe8d, 0x64d08dea, 0x7bfc3516, 0xa7c5a72a, 0x8b852398, 0x1430fb64, 0x508cb749, 0x7a1e7845,
+    0xffdc7463, 0x0ab3e5c7, 0xe65f4ecf, 0x6e14a485, 0xdd6f2b29, 0x17cdafff, 0x4f64a773, 0xf085ab3b,
+    0x75ba5697, 0x835dda50, 0x5c467770, 0xf9b8e725, 0x37c60655, 0x12cb78dc, 0x920edbca, 0xb1064936,
+    0xa814fc44, 0x9ae38e7e, 0xf41c2871, 0xa3fa879a, 0xe4572cbc, 0x39045375, 0x21cef03e, 0xd44c0cf7,
+    0xe5bb0580, 0xa8b31c89, 0xde5b62ce, 0xb936aba7, 0xd231911f, 0x07715f77, 0x81d9d80c, 0x9ffc2fac,
+    0xf3c6d74a, 0x1f4ebf48, 0x48a93a31, 0x3828c90c, 0x6aa0d464, 0x4b8d37d6, 0x76fcc8c4, 0x2656f930,
+    0xe047b1c9, 0x83ca4ef8, 0x2dc13fff, 0xdd249b47, 0x02f8ecb7, 0xa6a882b2, 0x2b993699, 0xfe10ded7,
+    0x6b507b72, 0x1a646046, 0x70c945c8, 0xaedfe5db, 0x2c2496ba, 0x9c537925, 0x6a14fdb4, 0x83906714,
+    0x7d4c4d4a, 0xaf48708e, 0xab8b08e9, 0x301480d3, 0x258a6b5a, 0xdbfe891c, 0xc8526b22, 0x6b062bf3,
+    0x51e89c3a, 0x00cfb7ef, 0xe8f4687b, 0x2363e0f2, 0xb6863487, 0x8a6e7dbb, 0x36c4d900, 0xd481062b,
+    0xd67e2d30, 0xb86e962e, 0xfca7bc36, 0x3604a09a, 0x07e9fa85, 0xda50066b, 0x8dd01a5a, 0xee79289b,
+    0x42c1e76c, 0xd7247649, 0x74311579, 0x43dd957c, 0x8741bdd9, 0x10d52d6c, 0xa25e4c0f, 0x5f0c2605,
+    0x61ef632d, 0x62d1c310, 0xfc73f169, 0x01c31b79, 0x95019fc8, 0xce2079c6, 0x33e16103, 0xc761eb3c,
+    0x590926ac, 0x67ec4e33, 0x3362b7e7, 0x88bf1cf7, 0xd7cf2bf2, 0xe2f02fd5, 0x0f73e0ec, 0x0266bea8,
+    0xee7f8968, 0xfaafd2fb, 0x6c3483c2, 0x1d02a6e6, 0xf0217d0f, 0xd6b4238d, 0x2df63bc3, 0x267b14a3,
+    0x9ec11872, 0x96e699d9, 0x2b428079, 0xa4795ecd, 0x19cee588, 0x3ce90220, 0x5056bbf7, 0xc6f4fd72,
+    0xae68cb50, 0x727c68f5, 0xe90f90a2, 0xfb9ca87a, 0xcd31d39a, 0xe0f319d7, 0x4aaf06b2, 0xd030b80e,
+    0x22b6734d, 0xfa61d278, 0x1e20448b, 0x57cbf5d8, 0x16984389, 0x557a20b1, 0x72808b74, 0xa385565c,
+    0xcfba7baf, 0xfac53bce, 0x11a4ddf7, 0x6239c65e, 0x03d3d94b, 0x399b3d23, 0x25640e8b, 0xc9588d6d,
+    0x92cd2ac5, 0x1eef9b72, 0x09624aa3, 0x4ff3928e, 0xf37abb26, 0xdf511e18, 0x573e0451, 0x9813c31b,
+    0x20f8a0f1, 0x495f889a, 0x8f7654d4, 0xfdc437b4, 0x577babf1, 0x3ec5b3bc, 0xaf8da363, 0x4e54a60f,
+    0xbe9b8ca4, 0xc162a29e, 0x6fb1bd52, 0xe61a48c0, 0x8d7eb4db, 0x7ae598d5, 0x31813cc6, 0x639048f1,
+    0xe693ac5b, 0xd2f855e5, 0x82eeb658, 0xe190004d, 0x55a51b3e, 0x5c799e70, 0x11e4b870, 0x1ec5c6ee,
+    0x7e77ff55, 0x973feb6f, 0x98468f87, 0x8fe8da75, 0xb7aa2411, 0x581d779b, 0xe195fc7d, 0x84c38cef,
+    0x0cbb4405, 0x12171ae7, 0xc1f5cc83, 0x689f92ac, 0x12803067, 0xe7087500, 0x8075b890, 0x86b7dff8,
+    0x60c5f41a, 0xc3d19028, 0x074b2efe, 0x415ebef7, 0x2dc92445, 0x84be79d7, 0x7f823a0d, 0x4008533b,
+    0x44d6d078, 0x639464aa, 0x14aafb15, 0xe9a3c2bb, 0x9cfbafac, 0xea72cca1, 0x3082c2c9, 0x70a7ef48,
+    0x562f99ac, 0xa376c90a, 0x9016f3ed, 0x42cb61a3, 0x708b6d0a, 0xd391281b, 0x39161b96, 0x3036dffb,
+    0xc6a71418, 0x3c8610c0, 0xd9088abb, 0xa85c285b, 0x85877fb8, 0xc5990048, 0x25cc143c, 0xe96c79c1,
+    0xe78c3fb9, 0x82b99697, 0x7b868d64, 0xee1b5f88, 0xb58606d4, 0x2827eca4, 0xd8587fcb, 0x29b51372,
+    0x375cb8d1, 0x7391dbaf, 0x4817f615, 0x98b33d2a, 0xba0e3cf1, 0xa686a33d, 0x9a717aa5, 0xfc936096,
+    0xcc0b2bad, 0x4cdb4beb, 0x4f528199, 0xbb37591b, 0xb7d485c1, 0x4889a6de, 0x20991201, 0x00ed738d,
+    0x099f4406, 0x35d4a02c, 0x4116b37a, 0x4766d847, 0x62d0b933, 0xf937c4cb, 0xc10ff10e, 0x842c3480,
+    0xadf5a6ce, 0x7ca13ae0, 0xc69d2c89, 0x1b42b4fc, 0x1b7b1bee, 0x6fcbf268, 0xd47da16f, 0x170254f5,
+    0x2c78cf1e, 0xdefff17e, 0xd61d8d07, 0xa9a02846, 0x75aa1dc1, 0xa6a54808, 0x77713623, 0xb7765f0d,
+    0xb0b5312b, 0x85283903, 0x64a8758a, 0xe6d134c6, 0xecee5be8, 0xf6385c1e, 0xcf782e6e, 0x99897bb9,
+    0xfbe109d4, 0x28e35de3, 0x17e22e95, 0x7bbcb32c, 0x99bbbe74, 0x2f77ba2c, 0x534fbe19, 0xfd0735e0,
+    0x2a7923bc, 0x2b391618, 0x75d95a4e, 0xb6eb18e7, 0x32cc250d, 0x6d6d0f89, 0x932b4327, 0xadab60e9,
+    0xd26d531b, 0x78adc0ec, 0x1258480b, 0x31adcf02, 0x556e12c6, 0xacc7dcab, 0x7e4c9621, 0xcdb4c3ae,
+    0xf9914177, 0x86ce5e44, 0xf5e16a50, 0xce52a525, 0x967a6cc7, 0x3aec9a0d, 0x7a2b1972, 0x2afa5169,
+    0x476e04b6, 0xa7861919, 0x4742dc9b, 0x2fb73354, 0x77b429ac, 0x17cdbb5d, 0xc806c1cb, 0xba6fdc48,
+    0x6f885deb, 0x45c821e9, 0xc4543c4b, 0x61d259a5, 0x020d38c4, 0x4e0b29ed, 0x8a45cc2c, 0xa659b847,
+    0xd84ba074, 0x8dcddb93, 0x64ce0043, 0x70cc0bcd, 0xf531e3ea, 0x17eb17c7, 0xe5fe37f5, 0xbc7f617c,
+    0xe431aa91, 0x14774199, 0x21fa26d7, 0xdc895c4b, 0x1733b1a0, 0x679ee7d0, 0x7551aa8d, 0x0eee5409,
+    0xf8b84bab, 0x1f846cf0, 0x911c5bb9, 0x19b12e7f, 0x9cd1102f, 0xc7df7532, 0x84ceb595, 0xda68105e,
+    0xbbf467ba, 0xa043e94d, 0xcb5544db, 0x5b8c2932, 0x2f94fe9a, 0xfbe1a9b3, 0x5fadb3bb, 0x2b732551,
+    0xdcc45c6d, 0x2c72e616, 0x4efbd158, 0x5f9a8b75, 0xf7341528, 0xa6f4c9f9, 0x3969dd6e, 0x93510fc5,
+    0x93b62e70, 0x7ae5d3c0, 0x361a55bc, 0xc35d4d33, 0xeacf81bf, 0xe876605d, 0x987a1fac, 0xfb03f39d,
+    0x2453ff26, 0x82272e92, 0x10911cd1, 0x9f8aa397, 0x8802426d, 0x011b0151, 0xbe185458, 0x45c7c8e3,
+    0xcce94d69, 0x270770b0, 0x034aa036, 0x4ee445c8, 0x4dae759f, 0x3c27b49e, 0x285cf950, 0x5df864a6,
+    0xaca34f73, 0xccbeb09e, 0x211f5972, 0xc952f56c, 0x97ab77c3, 0x130cbe8e, 0x952555df, 0xf7524610,
+    0x9a44755a, 0x48c10388, 0x4d926313, 0xacfc315d, 0xb06cef57, 0xd4665eba, 0x4da429f6, 0x552a9f1d,
+    0xd99d4e0b, 0x6c3610bf, 0x962a9e26, 0xab491d1d, 0x43641625, 0xe70e3537, 0x95cd6afc, 0x0f5c7a29,
+    0x3a2d3ae5, 0xd482b64c, 0x4c56233e, 0xe5886a9a, 0x1dfbfa1b, 0x465e65ee, 0x2a3a1648, 0x6af9b241,
+    0x2003482e, 0x6b4fa977, 0x161f0bf8, 0x377afd63, 0xcaf948c6, 0xfeb3e3ca, 0x0f67c81b, 0x7f097371,
+    0xa2d5e993, 0x43448419, 0xcc937131, 0x85ce5922, 0xed9bdb08, 0xde81e30e, 0x84145e8c, 0xa84ce2f1,
+    0x5d58bbe0, 0xe2ddd8e4, 0xa80944b2, 0x38677989, 0xe34680b4, 0x2ed9e0f0, 0x9d99b320, 0xe1338be9,
+    0xc29d25c9, 0x160e7c71, 0x222e8fc3, 0x12ceea7e, 0xb352387e, 0x91cd3c55, 0x50ddb815, 0xc0bf5b32,
+    0x0b628c83, 0x22e0f7af, 0xc87da584, 0xc42db5b0, 0xcc078e2b, 0xa280853e, 0xb43414bc, 0xe7418d19,
+    0x4862ed68, 0xf5571ace, 0xb4c0efac, 0xf059a2b7, 0x4a7f431e, 0x1b3247be, 0x3cc01bbc, 0xa918a0e7,
+    0xc22cbd0e, 0x1e229105, 0xc4eb8a57, 0x8ee4ceb8, 0x9ca291a3, 0xde9c488a, 0xd4124d4f, 0xc67bc790,
+    0x106da9dc, 0x8500b29c, 0x5979d709, 0x419c5a0a, 0xd249666f, 0x21f7a231, 0x33ba81d0, 0x70f77a77,
+    0x024e496b, 0x388e4bfc, 0x93b96a2a, 0xd8fa0515, 0xdf11f098, 0x2b1d2429, 0x50a78f4d, 0x90bafd13,
+    0xcd8a9161, 0xe0857457, 0x8b65b3bd, 0xf16b9aa8, 0x9f4c12b8, 0xf18b3fc7, 0x39edfc38, 0x4bf8fc65,
+    0x561c6dd9, 0xf61b871c, 0xee78df2d, 0x19fbc6ac, 0x888c8e61, 0x806b0ba5, 0x7ec76a7c, 0x734da2a7,
+    0xf5035c05, 0x61151d74, 0x6ef00a98, 0xa3e3b6cf, 0x7416bc29, 0x0f718b1f, 0xc1c16667, 0x99bdb507,
+    0x10e75080, 0x052e2a05, 0x73637606, 0x80bc2bfb, 0x5b96ad27, 0x0646de26, 0x59441a6c, 0x90d6a94c,
+    0x03155c7a, 0xc0aeb46f, 0xb36f12be, 0xde5295de, 0xfc5406e9, 0x56b14374, 0x714ecf2d, 0x67725151,
+    0x80885eb2, 0x5f9352b0, 0xf044bba2, 0xdbc0d92e, 0x624e0630, 0x93b7f260, 0x960a107e, 0xcad9d75e,
+    0x26586841, 0xeb9bde7c, 0x65ddf6e0, 0xf1fe0f26, 0xb5c5544e, 0xa9357aee, 0x46fefc61, 0xa60e69b6,
+    0x5859c22d, 0x7a805d53, 0xbdbc3dd4, 0xb42ac799, 0xba8fcf65, 0x6c928e4b, 0x62c84e2f, 0xb44d331a,
+    0xed69781c, 0xec7bc195, 0xae0e6bea, 0x3ad3e73b, 0xd4bb7427, 0x10f7ded4, 0x7eb4f76a, 0x0942da48,
+    0x24c5481f, 0xf0ece4ac, 0xaf8b167f, 0xda18377b, 0x8950a81f, 0x3b11c429, 0x2c340b90, 0x7e5bbef4,
+    0x08bad024, 0x2f4f89c6, 0x652bf719, 0x35f27067, 0x4f429743, 0xb3f8bf17, 0x11bc0b2a, 0xa4c5207b,
+    0x30595d97, 0xb436a63b, 0x6e310128, 0x42a39f10, 0x1246d89c, 0x039553a0, 0x2542a8d0, 0xb3804642,
+    0x50958eb6, 0x2a193695, 0x13369a5e, 0xbcc91c68, 0xe56c536d, 0x5181d8a2, 0xfda0c963, 0xe2235c8d,
+    0x1626f551, 0xc180187e, 0xe6967195, 0x4a01755e, 0xc5c7a82c, 0x60901ac6, 0xe983e251, 0xbb142e1c,
+    0x294eb0fd, 0x2a92ff32, 0x14e19d1a, 0xd5f3a85b, 0x1138ae80, 0x39096ee3, 0x2ab80ea3, 0xcf8b82c6,
+    0xcc60c1e0, 0xfb2cb617, 0x66c947a0, 0x79de9aca, 0x0f2540ba, 0x1df1256f, 0xfc6bb967, 0xe54dcdd0,
+    0xa7ae1959, 0x4c17edda, 0xd9a9164d, 0xb739eb37, 0xa3ae4d46, 0xf2d28e96, 0x8e1ea17e, 0xd7d728e7,
+    0xb8a159bd, 0x29b92ea9, 0x9138a3d8, 0x042f9752, 0x4f58238d, 0x4ddbd33f, 0x7fe6bb53, 0x75580553,
+    0x7e6fecb0, 0xb05f949a, 0x6c5f387c, 0x3154eef0, 0x656b81a7, 0x50934357, 0x281af1cb, 0xd2499251,
+    0x5c2d076e, 0xf6d84f7e, 0x190c0a05, 0xf8b9d444, 0x0328ae60, 0xd9133479, 0xa5cc8032, 0x53850c7c,
+    0xf8a2be74, 0x55245eae, 0xcf3e8418, 0xfcd16dc5, 0x1749ddd5, 0xd64d72d6, 0xd67a14ba, 0x7a4fb7a0,
+    0x08849f8a, 0x862aa04c, 0x1fa04d20, 0xeaec487d, 0x4a6d0a55, 0x3730c97d, 0xc0453ce9, 0xfa3146ce,
+    0xc71ee5aa, 0x1ba48351, 0x7179579a, 0xb3816a7c, 0xb08d2b1e, 0xf45aa97f, 0x9ad25feb, 0xb66b74ba,
+    0x5ad7e860, 0x130d153d, 0x9625197f, 0xf4677ee0, 0xc6a0986d, 0x9527ca18, 0xbc8aa7fc, 0x835869fa,
+    0x4229fd6d, 0xf5c7be97, 0x87dcd318, 0xf0071d26, 0x92067a16, 0xdc895706, 0x4387dee1, 0x9f522623,
+    0x00000000,
+    0x8eb42f57, 0xf892faad, 0x77547ce8, 0x19943f7a, 0x0b9e1674, 0x46dab202, 0xdeceb53a, 0x65b157f8,
+    0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000394020061963944792122790401001436138050\
+                         79739270465446667948293404245721771497210611414266254884915640806627990306816 */
+  { 0x00000000,
+    0xa9edde21, 0xe9f74fd5, 0x4c29cbc6, 0xa6e4a305, 0x93b1dbf7, 0x7551302b, 0x5d885192, 0x9a0fefa7,
+    0xb6ecf5b0, 0xd783c75a, 0x3fa272f9, 0x18d83baa, 0xa018a2ef, 0x817256ec, 0xefd54b74, 0x5a07dd5b,
+    0x490bf5cb, 0xd654d2a3, 0x844fa91a, 0x50e820bb, 0x855d4f44, 0x612b5a8d, 0xa84a3335, 0x0fd234f3,
+    0x9bc59d1a, 0x24d4ba26, 0x6af53549, 0x427f02d3, 0xc38eee39, 0xef438a87, 0xfe9f63e3, 0xf10024d7,
+    0x622b4426, 0xb256636f, 0xcf781992, 0xf3ae2e5c, 0x23b287ff, 0xb2614f01, 0xebb6c86d, 0x5595ca46,
+    0x0caed3e9, 0x5e87cdb6, 0x0236a282, 0xe307f85f, 0x78fd5204, 0x80c89a9f, 0x5cfe83cb, 0x3218c920,
+    0xabdb2b12, 0x1b517f1c, 0xce3d52b7, 0x00fe575b, 0x12c6f19f, 0xee111c57, 0xb351c17c, 0x241052cf,
+    0xdc09ecfe, 0xb4bb02fd, 0x2c2a6b7b, 0x0f1f3ddd, 0xdf957eab, 0xfaa5ac9e, 0x48f2ad3e, 0x8b8b62f7,
+    0xc12433b4, 0xf8ab2027, 0xdae085eb, 0xff74bf18, 0x7dae017b, 0xc869f275, 0x37d1af6a, 0x86daf4ba,
+    0x7f232818, 0x346e895a, 0xe465c532, 0x45dfac9f, 0x43fb979d, 0x4fc3d175, 0x8f23fdf4, 0x8779ef19,
+    0x9376b9bc, 0xd6595015, 0xf4cda5f3, 0xd6aec643, 0xa4a0758c, 0xc2abfadb, 0x711cd456, 0xb3c72d16,
+    0xa2419e7f, 0xabaeb5cd, 0x35af574b, 0x00fb5db8, 0x58ae9e38, 0xe6097dd8, 0x484bc3d2, 0xe34e95bd,
+    0xdca8bc02, 0xb810c65e, 0x91385340, 0x94c09612, 0xa3adfd02, 0x818c5bb5, 0x0aa02e11, 0xa7e8069b,
+    0x18a1c391, 0x559ba68a, 0xf1c4ab0b, 0xe6b728b2, 0x115e95cd, 0xee591d69, 0x69dc7002, 0xa0408a91,
+    0xddde1d8a, 0x6708039e, 0xa24b9b61, 0xc48335d7, 0x9c8ccc4e, 0xd627c2c5, 0x302f09b9, 0x9349022c,
+    0xe3375589, 0x4b579ffb, 0xff0283a1, 0xce251ff4, 0xf5b5bf90, 0xc2562db1, 0xc2ea619b, 0x2326a685,
+    0x952df578, 0x8410b4c7, 0xbad55fdc, 0x464a8044, 0x6ae48940, 0x34d05f46, 0x950e98f8, 0xccf094c0,
+    0x00fbed1d, 0x6e46630e, 0x3185a09f, 0xb25c9209, 0x713a15be, 0x0f50bbda, 0xba1f0228, 0x810cd4b8,
+    0x704c3b98, 0x07317434, 0x2f432fbc, 0xaac41959, 0xd1ce4ea4, 0x1df1df72, 0x07496e2a, 0x84373490,
+    0xd3046f89, 0x98a5af6f, 0x94cb4589, 0x577c07e9, 0x322f2264, 0x8bf77b02, 0x90171f8c, 0x589ab8f0,
+    0xeb10c769, 0xd02a2b24, 0xed84ab7e, 0xe340c30b, 0xec8fd136, 0x50b6074f, 0x2dd7d9b7, 0x899993ec,
+    0x0a98208e, 0x34eed9c5, 0x103dbe8b, 0x98155d58, 0x0f63d8c1, 0x87f96cb4, 0xfa635773, 0xedfb0334,
+    0x44bb02cc, 0x7c394836, 0xc8f9b066, 0x7e7ffc07, 0x1d6fed48, 0x36731da4, 0xc789aa5b, 0x2c0e56dc,
+    0x5323aee2, 0xf8578522, 0xfd9689e0, 0xabdb020d, 0x7b731d67, 0x8594a8f3, 0x14e01327, 0xb8bcf3b3,
+    0x7670305d, 0xa2763ac3, 0x629229d3, 0xef6a8aba, 0xd19cd7a7, 0x2f0a8d20, 0x83eb683a, 0xb06858b0,
+    0x38b98d2a, 0x4d118ae0, 0x84f932cd, 0xd0949f69, 0xff349060, 0x04ac1b42, 0x4cb3582a, 0xeefcd889,
+    0x4062906d, 0x4d460bde, 0xde04606b, 0xe7c23a9d, 0x04133ba6, 0x99465ea6, 0x098de542, 0x02386b53,
+    0xafe53063, 0xaee40296, 0x09fb6def, 0x40bdada0, 0xb6c1b863, 0x6610d11d, 0xa96b23d7, 0xe9e5731d,
+    0x82e41de0, 0xa3286889, 0xaa21a559, 0x2aa090d3, 0x5537df33, 0xa3cce8d5, 0x6b632a70, 0x0bb63e97,
+    0x57b7ec40, 0x0bc237ef, 0xb985fbca, 0x31e11835, 0x21bbf970, 0xbe2c2107, 0xa701c4d4, 0x0e063d4d,
+    0xe617f233, 0x064fdac2, 0xd19bfdc4, 0x1687b7b4, 0xc2a1359b, 0x1b9163b2, 0x9f16ea49, 0x7076af7b,
+    0xcb19c0fa, 0xbe4cf421, 0x15c9ee6a, 0xf5a4c4c7, 0x5ceb8104, 0x6c3b2dfd, 0xbc807c6b, 0x08e95214,
+    0x7fff77c1, 0x42a56a86, 0x9cd6c16c, 0x2055b80c, 0x7f49d8cd, 0x1385090f, 0x820f9603, 0x039c53f0,
+    0x8e0fd7fc, 0xdc08f541, 0x7dfd70fa, 0xb12d6fd1, 0x6fc40f20, 0x3430ac76, 0x8cb64f4a, 0xc6b46c9b,
+    0x8c170724, 0x6051cc23, 0x17a7dbae, 0xeec3f279, 0x1c553301, 0x3a59c5c4, 0x0649491d, 0xccd0fd90,
+    0x3f203f0b, 0x763c0a11, 0x50d63fdf, 0xbc03828f, 0x6f3960ab, 0x42f3ec81, 0x420b8e9b, 0x0f23cd6f,
+    0x7ae398c4, 0x38262e7d, 0x7ce8cb6f, 0xa73333bc, 0xe222b873, 0x48ff4731, 0x88b34401, 0xe1b320c7,
+    0xd950cbee, 0x4ae1c912, 0x3c04b50d, 0xb0fd07c9, 0x008f2eb7, 0x32e310fc, 0x35748d6d, 0x7570328a,
+    0xa3686e0b, 0x2cab08c2, 0x933f1ceb, 0xbbe65a3b, 0xbb93e8fa, 0x87ebf181, 0x57d8cc8d, 0xf3647dff,
+    0x3f73355c, 0x96f7aaa1, 0xca661862, 0x3c551cb3, 0xbce170a3, 0xa949dc5c, 0x5733efe7, 0xa76a4abc,
+    0x0b2a09a0, 0x0c701978, 0x2bdfa14a, 0x36d5a280, 0x3f5c3a6c, 0x5b25c2f6, 0xbb67072e, 0xecb33140,
+    0x7f559a17, 0x6e28f41d, 0x107ee3a4, 0x1e781b69, 0x6978b434, 0xd49bb13d, 0xa7f0c081, 0xf257e982,
+    0xa67cb8c4, 0xd01cceb5, 0xad1744b0, 0x14ddb16e, 0xd74e76c8, 0x09096f05, 0xfafaff1a, 0x732200b4,
+    0x817e71fa, 0x28a620ab, 0xdee262b8, 0x0af3a778, 0x0d73f544, 0x5124af2b, 0xad9edc57, 0x7efc1fb1,
+    0xbfde1f56, 0x9cd903c0, 0x65b19cd7, 0xfa04af1c, 0xee5fe83c, 0xac50f9fe, 0x6c301520, 0x9304c5ac,
+    0xf94dbcfd, 0xbf847236, 0x79ae25d3, 0xb90b302a, 0xde30d470, 0x5a9bb514, 0x3b88b74d, 0x91c8a38e,
+    0xd5d82a3f, 0xf8707382, 0x4a84f536, 0x8acbb6d1, 0x3065ced0, 0xca3b4961, 0xa87f313f, 0xcafe4ff9,
+    0x763f427a, 0x25c43712, 0x1493f78a, 0x75912bcf, 0x97b819cd, 0x1ec6ca54, 0xa792db09, 0x9e67f98d,
+    0x047bf904, 0xa9d0f6d3, 0x56505e94, 0xa0dd5b7a, 0xe3d2aefd, 0x92f1c03c, 0xd6637587, 0xafd5e52f,
+    0x4a142ef5, 0x5045ecf6, 0x5022a84a, 0xde6e0176, 0x4d0c07d0, 0x3c695175, 0x3153931e, 0x1be6ad4b,
+    0xaeff4911, 0xbcdd947e, 0xea508338, 0xadbe0a73, 0x5e67c0f1, 0x8db0b6ce, 0x9b902d17, 0x91f88acc,
+    0x22cdb261, 0x4ddb2412, 0x03a4e13c, 0x0512a5c4, 0x2800c053, 0x2fafe283, 0x67175cf9, 0x5eb9c098,
+    0xb0718750, 0x913addfc, 0x110eeb81, 0x4a55b5c1, 0x86633f9a, 0x0ac504b0, 0xda7b39b4, 0x8b88ef40,
+    0xbdc78c2a, 0xc71c11b8, 0x0794f64c, 0x304859b8, 0x3a6dc7a8, 0x8b32ee35, 0xe25419fd, 0x54128181,
+    0x1f35712b, 0x82c7f16e, 0xe0dc1d03, 0x6c522d39, 0xa45bb8bb, 0x9a9685ab, 0x7a7b1cab, 0x50ead963,
+    0xe873e4fb, 0x96f72264, 0x50e877de, 0x8e5efe55, 0x17bd1cb8, 0xb30330dc, 0xeb3a5c6f, 0x3cf53120,
+    0xf410143b, 0xb02195bf, 0x4c4b2554, 0x5c086b71, 0xe212bb90, 0x6a46d9e8, 0xfc13403f, 0x0fc5bea5,
+    0xd879ffff, 0x83f4f4ca, 0x7972354b, 0x8575ffce, 0xff6957da, 0xe7ffd919, 0x8fb229cc, 0x289b2227,
+    0x49f13ca4, 0xf3fb26a5, 0xb4daf6e0, 0xd9364d28, 0xe9f8210f, 0x35b5a618, 0xaa313c4d, 0x208f6867,
+    0xd62bd79e, 0x695c46df, 0x97598957, 0xe5ccf207, 0x0faf5270, 0xaebe3090, 0xfa75391c, 0xd9862d52,
+    0x2d4a228f, 0xc4bba3a4, 0x463ef609, 0x045804e3, 0xd0186f5d, 0x36398349, 0x7f621b45, 0x1aab834c,
+    0xfe1d4d3d, 0xd88093c4, 0x324f73a7, 0xbf18952e, 0xc0614060, 0xa53437de, 0x9c006b3a, 0xf77f18df,
+    0x7bae2e0b, 0x0e550261, 0x8e7df322, 0x2d6e87b9, 0xacc05327, 0x3daa274f, 0x274afe1f, 0x55d8d9d5,
+    0x5b010fbb, 0x274f8334, 0x3512f602, 0x814ad6b5, 0xc7c5bb3f, 0x7ade80c1, 0xd1d1bc6a, 0xa10bfeff,
+    0xcd55876f, 0xf74758d0, 0xcc5cb52e, 0x4c0dbacd, 0x41b4c57e, 0x67da5227, 0x1fe2b86c, 0x4218ccc4,
+    0xd8303b23, 0x906eaa90, 0x5a6b2db4, 0xc33b6fff, 0xb3759e92, 0xe76d2cf1, 0x91eb8644, 0x74f3ccb2,
+    0xf76776fd, 0x217fc42e, 0x3210c890, 0xa28ea64f, 0x8fe9c1d4, 0x5ddb0ca5, 0xab61a132, 0x3e7bbaf7,
+    0x81d0ac44, 0xd53fc7d5, 0x210d9395, 0xf68210ce, 0xc618b25d, 0xaf5d2c12, 0xb88817a0, 0x69d4e93d,
+    0xbe5178c3, 0x5d227412, 0xa4e390b5, 0x71f89c95, 0xcc8367ca, 0x3b94dd88, 0x1b963c54, 0x39fad11a,
+    0x7aa72801, 0x45f3a272, 0xa290fa47, 0x4c9fe1cc, 0x4f967da2, 0xb13511ea, 0x01ea356f, 0x25127d72,
+    0xca73392c, 0xe37b815d, 0x623e4a4a, 0x5f11ad2c, 0x7580eeba, 0x9960b784, 0x886a4638, 0x88dd12ee,
+    0x4ca64b14, 0x581e63c3, 0x2985f6b6, 0xd74ade4c, 0x21ec60e8, 0x17c94dc8, 0xaf17b03d, 0x7fdc086c,
+    0x427b9c6e, 0x4db0010c, 0x03ec4b43, 0x1e6b61be, 0x3c38fead, 0x6435fac1, 0x23befc7f, 0xc3d810b6,
+    0x4b53a9f1, 0x642de039, 0xc30aa77d, 0xc1343acc, 0x6e3e547c, 0xcbcd8c45, 0x0195b059, 0x54572a42,
+    0xd98f14b4, 0x153050f0, 0x91713631, 0xfd8f9a73, 0x64ba4e02, 0xd27acdb2, 0x7dbdbec1, 0x97ded5d8,
+    0xd7f65fd1, 0x6e2b1423, 0x695729f7, 0xbfaaaab6, 0x953ee515, 0x8522c4ab, 0xfdc9d881, 0xdf056a07,
+    0x3084794f, 0xddf7ce8e, 0xbb5685d0, 0xe0d36c4b, 0x772f58c8, 0x2badbf86, 0xedce6dfe, 0x8baa4816,
+    0x4dc42afa, 0x4f28e32c, 0x88dc8e3c, 0x9fad28bc, 0x883804f9, 0xe883b2dc, 0x470cc71e, 0x1212b7d3,
+    0x6678a656, 0x51303ced, 0x51691eec, 0xae555634, 0xace21ede, 0xeebf1cf6, 0x1aa9b865, 0x03b96758,
+    0x278272bf, 0x3ff3bbd0, 0x2426f8a6, 0x9fb8441d, 0x7095b0a7, 0x93ccbb29, 0x7db1be3f, 0xde7c7435,
+    0xc38fe1e6, 0x0936af1b, 0x70441b08, 0xffde12ac, 0x31a02170, 0xcd2b8b06, 0x378acb2d, 0x2e6fee5f,
+    0x83874d7d, 0xab265dd3, 0xf1a83601, 0x5eee2285, 0xeebf983f, 0x17f51413, 0x2b661e0f, 0x91744c5a,
+    0xa14ece84, 0x1e711bd3, 0xa9fbfb69, 0xda846552, 0x45fca2e6, 0x88074c51, 0x04960b52, 0x903ea853,
+    0x8127bd5d, 0xd4c70e7f, 0x94607247, 0x3ffee251, 0x5610e66d, 0x7ee95cd2, 0x9ec1cbb4, 0x1eb74ba2,
+    0xc9ced9de, 0x0418b9ef, 0x402f308c, 0xccf83dca, 0x6560055a, 0x47a858a9, 0x185e3a49, 0xd180d903,
+    0x5c6e184e, 0x7a098eb1, 0xa33d3ed2, 0x7be33ece, 0x2d9123da, 0x42692fe7, 0x7bd5141b, 0xeceb1173,
+    0xba31c9b4, 0x804b959d, 0x86b89c0b, 0x91c4c6e4, 0x36823b41, 0x29c670d1, 0x7d99e958, 0x6405a462,
+    0x6125e4b0, 0x41d95c5d, 0xca477783, 0x4e3e7392, 0x09633b40, 0xc891b2d6, 0xdd7d48eb, 0x2db1f193,
+    0xcd5485a3, 0xe247eaed, 0x3e4bb901, 0xb72a6ec1, 0xb53349a8, 0x87811128, 0x271fa42c, 0xa08b19a2,
+    0x9f51ebb9, 0x2fc1b65b, 0x67dd41d6, 0x22c5e15d, 0x1e5b846a, 0xd26180a1, 0xb478014e, 0xf91e907a,
+    0x5bb501e2, 0x45f44f39, 0x8a473868, 0xf32b3441, 0x46a89381, 0x3f03eb31, 0x6f7489e7, 0x5017dd37,
+    0x998f4d9b, 0x3106f521, 0x20265ebf, 0xee6d89c0, 0x3a2ce96b, 0xe5f75b50, 0x888fa5bd, 0xdb507358,
+    0xe025b309, 0xb79d4041, 0xf0d23717, 0x3d67d970, 0xb17665d5, 0x204e57c4, 0x692b4f32, 0xe5057016,
+    0xb4acd4d6, 0x9299809a, 0x34ad314d, 0x28b332eb, 0xb1055c87, 0xb651637e, 0x1801444e, 0xdd0bab40,
+    0x032c1316, 0x475d884b, 0xd243fe58, 0x4264eee6, 0xc1a2b0c3, 0xcb9a79b3, 0x93285683, 0x1f140e2c,
+    0x2e7bd270, 0xd23d107f, 0x37f87540, 0xa978bd40, 0x0e495fe7, 0xa31c7ccf, 0x80fd0d0b, 0x32235ffc,
+    0xd8061a81, 0xf032185e, 0x89c9a2e5, 0x35dca5f1, 0x06751a0e, 0xa7b9f3f6, 0x5dfe3467, 0xe9164794,
+    0x887feeb0, 0xf23ebbb0, 0x220f1000, 0x9311213e, 0x55b79db0, 0x1987a1b2, 0xe0b7434a, 0x5cc35356,
+    0xa670a55d, 0xbc2b72b4, 0x45a37e3d, 0xe9d91acf, 0xeb7e0425, 0x26ecdf27, 0x33f0c105, 0xe4eb4349,
+    0x786fc68b, 0x94ae05c7, 0x9bcc6529, 0xdd8c4762, 0xd9f2606c, 0x76f6f336, 0x7dd75b5f, 0xf4c4b9e3,
+    0xf67b34bb, 0x67981b4f, 0x488d6ce4, 0xf85dde46, 0x1e14babb, 0x22982b02, 0xd726c485, 0xfd571098,
+    0x36efec01, 0x6b96cef1, 0x498e6169, 0x32d47eaf, 0x3c21eeb2, 0x76c70122, 0xd9b8310a, 0x11db6b2b,
+    0xd7c714fe, 0x3c542bd7, 0xcd6ee4f9, 0x7bb9ba68, 0xf447e737, 0x739e459d, 0xc7021911, 0x6b2c4c28,
+    0xb4fd4bbc, 0x6e629f61, 0x8186eeb1, 0x1e3eb0c5, 0xe84c1048, 0x1e7635c9, 0x02119786, 0x4966ac95,
+    0xfbff352f, 0xbbcb148b, 0xecc07d77, 0xc2a5fc09, 0x560fd678, 0x58e2f7c5, 0x84946f74, 0xf805a3c8,
+    0x52000cf3, 0x9f7c0a18, 0x763410ec, 0xf7f41a32, 0xbaa7f40e, 0x9ba121a0, 0xb9746f88, 0x86eeb2af,
+    0xd14659c1, 0x9f873da4, 0x8beb1a0c, 0x2d989aa2, 0xc00e8d6e, 0x1571ec0e, 0x3e899575, 0xe4d8f35f,
+    0x384024a4, 0x3be8d6b1, 0x58f90635, 0x71483ebd, 0x84540a2f, 0xf54a5171, 0x2f077954, 0x9d1a75c6,
+    0xb2bee33a, 0x6f98fde9, 0xc83b7119, 0xe0fd4519, 0xd48d4301, 0x30d2ae8f, 0x2a9fe364, 0xc2b657ea,
+    0xf521d2be, 0xb931539d, 0xdc535207, 0x6e0be71a, 0x155118c2, 0xbf83e8b8, 0x065eac78, 0x774226a3,
+    0x2cbb20f0, 0x9c132aef, 0x1accefbf, 0xcf17405f, 0xe1e1ac87, 0x9392c49b, 0xb32aa3a1, 0xd65e1c3c,
+    0xe9eb2e3c, 0xa48945c1, 0xe01cba5b, 0x89c26a0f, 0xbc54797e, 0x14dbacac, 0x51ebe7a4, 0xc0b5c804,
+    0x38db63ed, 0x620a8bfa, 0x5691bc8d, 0x6c75e436, 0xfe47f822, 0x279c9d6e, 0x368d236e, 0x3d88397e,
+    0xe531e6fd, 0xc5815d0f, 0x8b080ea6, 0xaff58fe9, 0xa0f30495, 0x09df04f0, 0x2a17f058, 0x842048cc,
+    0x4a00c6af, 0x62190257, 0x2beaa419, 0x7ce9d6e1, 0x80b236ca, 0xa5e05e13, 0xa309cbb9, 0x09aec9c3,
+    0x4a96651a, 0x340604a8, 0x8e54b627, 0xaacbfc57, 0x9eb8ae26, 0xe7a65f00, 0x0e32ffd7, 0x222c4f2f,
+    0xba934eab, 0xe57cfbdd, 0x8918764d, 0xaf8c7b00, 0x689cd996, 0x1d19ce67, 0xdbe39833, 0x1fd8e79e,
+    0xd93d9df0, 0x33c29d97, 0x41bcb3fe, 0x3b8d27fd, 0x415f22a9, 0xc2dc72ca, 0x44fdb425, 0xc06a4851,
+    0x5efc5e09, 0x1fe83f3e, 0x79b2d1af, 0x54db6cef, 0x66ebd384, 0x874bafce, 0x05b21e17, 0x9ea43865,
+    0x7b86536a, 0xdd79d17b, 0x25bcc002, 0xc14f3b4f, 0x82be8fcf, 0xf5d47c28, 0x4273c90c, 0x4d6b3e8c,
+    0x20db8452, 0x0511da12, 0xe97b2510, 0x1c6208ba, 0x2ab00357, 0x1bcba9e3, 0xa128e48c, 0x828b77b3,
+    0xb32b423d, 0xba70a2d6, 0x6c0035fc, 0xe6130d71, 0x59d63cd9, 0x9b7bb974, 0x188932fd, 0x8fa42deb,
+    0x49e43362, 0xa2a4f33e, 0xe50ea50e, 0x1fad1107, 0x7adac52b, 0xcda84a61, 0x92819fa5, 0x0ea7bbbb,
+    0xa42e756f, 0x64cf65ff, 0x457ca57f, 0x0875350b, 0x97bc7941, 0x55f64d33, 0xffd965c4, 0xa3ecf92a,
+    0x65a4d9ec, 0xbc88af00, 0x37877c13, 0x046ccb20, 0x46e9b71f, 0x63c085d2, 0x470cc6ad, 0x013a7145,
+    0xa1e98381, 0xbd13c77a, 0x457d6afc, 0x97484136, 0xe981577b, 0xda5fb5ee, 0x2625cdf0, 0x8ecde812,
+    0x00000000,
+    0xc75a17ab, 0x7c497d56, 0x3baa3e74, 0x0cca1fbd, 0x05cf0b3a, 0x236d5901, 0x6f675a9d, 0xb2d8abfc,
+    0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000197010030981972396061395200500718069025\
+                         39869635232723333974146702122860885748605305707133127442457820403313995153408 */
+  { 0x00000000,
+    0xaeb9a645, 0xe14a4140, 0xdd6cd052, 0x43566743, 0xf9333a96, 0x173bb46d, 0xee5e1d84, 0xf63b93fd,
+    0x1bd9061f, 0x12c393fe, 0x40f58059, 0x6d733523, 0x326ce72b, 0xa9dde438, 0xb8b445b3, 0x8e61ce55,
+    0x87fa3dd3, 0xa422f920, 0xe491992e, 0x16d2c899, 0x25305fba, 0x7aa856c3, 0xaf9d8a88, 0x9d525803,
+    0xc565b45f, 0x39c88067, 0x85e62766, 0x3fd49259, 0x42231be7, 0x1abc33a7, 0x771e5f5d, 0xb127341e,
+    0x7e551f17, 0x27319f68, 0xb09100b8, 0xefe5a715, 0xe683a9ca, 0xe479cbc1, 0x1e61894d, 0x75e3539c,
+    0x2e78b39b, 0xdf2613ed, 0xe21064a9, 0xa05fc04a, 0x5100cd5e, 0x75fb88a9, 0x2aebfa8a, 0x4a712fc7,
+    0x820218f0, 0xcecd770a, 0xaa7351dc, 0xff9a5587, 0x12974e7b, 0x098e9983, 0xc6fbfd96, 0xdb603f49,
+    0xed6804d6, 0xd1b91522, 0x6db07bb4, 0xdb9cecaf, 0xfde47ea1, 0xc63bf13a, 0xe7fdad4f, 0x6c2a502d,
+    0x1cac1e1d, 0x351a100f, 0x1dbfdd18, 0x4311a505, 0x56e1ed43, 0xa1f84847, 0xacd95df3, 0xbf5d15e1,
+    0x5a26666e, 0x60c87d99, 0xb056b10a, 0x73aee565, 0xde0fcc6e, 0x3a2a27ca, 0x76bf5c89, 0xa5e223ea,
+    0x2f74b704, 0xb3fa8817, 0x92d4906e, 0xd80b1b87, 0xd3624315, 0x3133dee5, 0xa0761261, 0x1fff0f34,
+    0x79c8aa84, 0x321db546, 0x50f4fdf8, 0x03bafae5, 0x7a70e568, 0x08663256, 0xb4aee3a1, 0x2ecfdc21,
+    0x2b39a2c7, 0xf007b9aa, 0x0d1a2250, 0x8b6c9e44, 0x6f5d7576, 0x39ad0d29, 0x2bc54e4f, 0x8f0b415f,
+    0xfc848dde, 0x8be6237e, 0x2eb585ee, 0xa5177495, 0xbe84e31e, 0x98d77d10, 0xbcde1cf3, 0xfbfb6841,
+    0x7423a6f7, 0x4ccfeb05, 0x4f83f206, 0x57ec4238, 0x73c47a85, 0xfafc1188, 0xe3833374, 0x3f531c93,
+    0x30c16174, 0xb615bdae, 0x95fd5aae, 0x2267f1bd, 0xd0caa32a, 0x0eef6d13, 0x3e37b61b, 0xc0e0a7de,
+    0x0cbde0a8, 0x062d1d4f, 0x9ec205f4, 0xcfb89fe7, 0x46d39551, 0xbeeb50a7, 0x7fa5ae89, 0x823135f4,
+    0x63f24c61, 0xe0af74eb, 0x55adc7da, 0xe63d33f4, 0x7d9a215d, 0x48d20044, 0x01065742, 0x66417ec6,
+    0x885ebe87, 0x7ab9e771, 0xfb38fcbc, 0xf3fd7a8a, 0x2992252c, 0x062f8c46, 0xd2e292f0, 0xf328f562,
+    0x6421c39a, 0x5c941673, 0x232c4edd, 0x56813fdc, 0x92aebb85, 0xdffe19d4, 0x552ec828, 0x3e17fa0b,
+    0x0d9df1e3, 0x99ace1b3, 0x28051a87, 0x1c47d300, 0x239b5a79, 0xe2850110, 0xe2173ffd, 0xee355066,
+    0xbca6e348, 0x80b54fef, 0xd4d1db33, 0xf553ba66, 0xd6ac17bc, 0x1a75ad02, 0xfc1460dc, 0x5713d75d,
+    0x1a340118, 0x4b8543da, 0x37c76beb, 0xd45fb411, 0xfa6b5a91, 0x8aaf9f50, 0x70013a84, 0xcbfa7a03,
+    0xf027dee5, 0xa311ce69, 0xec6e371e, 0x4bfa05c5, 0x43fa22d4, 0x9f868f28, 0x76878ac3, 0x30f4653a,
+    0xfcbeaf1f, 0xc7c2bcbd, 0xe449f2b4, 0x755ddea7, 0x7aeac5a0, 0x01fc3c43, 0x0f588143, 0xac40b98f,
+    0xde656920, 0x5d38c51f, 0xb9a01d27, 0x60941dee, 0xb8787a1f, 0x9206aaf5, 0x46153447, 0xde0136c4,
+    0x77182de9, 0x0de4a76d, 0x1d432a82, 0x941d93b8, 0x4fe06373, 0x28fef7a1, 0xa7d7dc2a, 0xe71dbe72,
+    0x0ca6809c, 0x68022571, 0xb7a1f708, 0xe5cf9907, 0x6aeec081, 0xe8917fc5, 0x3003c29b, 0xa3417f38,
+    0x78654861, 0x3d41ccec, 0x5ec2cb28, 0x4c10f988, 0x4961329e, 0x44e03320, 0x125118e4, 0xdd423407,
+    0xb6c4a674, 0xe29cfd68, 0x012d0036, 0x6617df0d, 0x720ef85c, 0x0ea48193, 0xd114c03c, 0xd484c6b2,
+    0x5b2a8647, 0x39cf53d5, 0x94fe5195, 0x399695ae, 0x1f860949, 0x7474a49c, 0x8f1dc096, 0x7c17a7c3,
+    0x9cefe406, 0xa3c8d3a5, 0x3f6c1eee, 0x05e49749, 0x46625194, 0x8f4f1b59, 0xc4af2767, 0x03549910,
+    0x4e9db1f1, 0xf46830eb, 0xfbde4979, 0xfecba742, 0xe2927c18, 0x7068bb7c, 0x1edb0849, 0x64c7e3fe,
+    0x94c40eeb, 0x097a03a6, 0xdac6769d, 0x254640ae, 0xc3134e24, 0x92d32bdb, 0x724f9289, 0x2707a799,
+    0x88952f79, 0x51b7ba6c, 0xccf32a20, 0x2b8505c5, 0x52214b23, 0xf8393640, 0xbcc1c54b, 0x164a5056,
+    0x36861a6e, 0x7c8da0cc, 0xba89a3c9, 0x60d3e2e9, 0x92639f2d, 0x9403353f, 0xb0fac924, 0x50d43af5,
+    0xf4369ede, 0xe456b13e, 0xfc9e2371, 0xfbc77a61, 0x0f70cf29, 0xec2c641c, 0xb743eba0, 0x2e567b86,
+    0x67617323, 0x118e79b4, 0xb3c7fc63, 0x3bb89959, 0x9e530d01, 0xb9fd4220, 0x487c28ff, 0x182eef7d,
+    0x2c79a6e5, 0xd21d7db3, 0x8babc05e, 0x59469525, 0x66422212, 0xcaec6be1, 0xaebd4931, 0x0d33fcac,
+    0x2e84614d, 0x20a80a2c, 0x3797ddcf, 0x9178d4c0, 0xbc94b409, 0x9f2fba50, 0xbef05310, 0xce2689cd,
+    0x5b344619, 0x59e4c004, 0x6c096b3b, 0xe4796e8e, 0x41453963, 0xa3f448c1, 0x80e13ac3, 0xd62006cb,
+    0x89a072a6, 0x0313d824, 0x8781db15, 0x61b08a49, 0x3d2adcbd, 0x191a4c0c, 0xa2e75ae3, 0x59c66f03,
+    0x3c09399a, 0xfc729786, 0xbccda72f, 0x13861571, 0xb18af0d8, 0x28cd2dee, 0x55bc09c7, 0x0a2ebf89,
+    0x1bde6edd, 0x23fa0596, 0x4554dd73, 0xc1c5242f, 0xb14037a7, 0x13063bee, 0x6c93bbb7, 0x55709997,
+    0x03ed12f0, 0x60f7762e, 0x08583c8a, 0xaa6dc073, 0x84d348ee, 0x405d6011, 0xa3b202c5, 0x366b9b85,
+    0xe92f3b23, 0x38b4512d, 0x7fef0886, 0x03ba52f9, 0xcd745da5, 0x63584841, 0x7c549672, 0x1be8b831,
+    0xb3049a19, 0x5ea070e5, 0x566c97d3, 0x9cc9bcb6, 0x644bad25, 0xb5c2bd1b, 0x6852ed28, 0x08154023,
+    0xf5adb787, 0x30ce0f26, 0x474f9318, 0x8ac8edb9, 0x61c8abb9, 0x378ec6d5, 0x108896fa, 0x8b3f662f,
+    0xfaef9ce3, 0x328cf582, 0xcddb5e30, 0x7de1ce44, 0x3d37d713, 0xac8b2256, 0x15afb13f, 0x2862a5f6,
+    0x4908aeab, 0x0eb4589a, 0x4f5900cd, 0x17b65092, 0x6b271ce0, 0xf368b8e1, 0x67e699bc, 0x082a5ffe,
+    0x25f4467d, 0x57776dee, 0xa226aa29, 0x5ca0e6b9, 0xc70506af, 0x0b299161, 0x1c155a9c, 0x32f8892d,
+    0x6dcc2e39, 0x2572951e, 0x49339112, 0xbaa2dbc7, 0x4d342c83, 0x8af27e9c, 0x23901599, 0x9029f13e,
+    0x370b9f74, 0x512249b5, 0x29f29160, 0xc5a1ec4b, 0xd0b18e30, 0xf03c7cfd, 0x3fd1ed2a, 0xac9a2d6b,
+    0x4c2a9b34, 0x6aa29fd2, 0x3d94c85c, 0x26beda9d, 0xb0c0a50d, 0x5d0f8e22, 0x0fe48bc5, 0x9724f3c8,
+    0x5c52de25, 0x7ab791ac, 0xfe405738, 0x39e7c559, 0x626daa5d, 0xbd89d5a7, 0xee14e4ea, 0xc662e885,
+    0xed08e006, 0x4be6c131, 0xae42c62c, 0x1e11afee, 0x96691987, 0xf4f8713b, 0xc7f19981, 0x12100680,
+    0xc83287f2, 0x186ab122, 0x1cd4da94, 0x9eebb50b, 0xa21908e6, 0x936ace8f, 0xcbb63f89, 0xf5320229,
+    0x93fce768, 0xa88de959, 0xde11d9cd, 0x96b106a5, 0xa3078b9e, 0x67e5429a, 0xa83c4ce7, 0x7ec24e1a,
+    0x4021eb0f, 0x0e23e59a, 0x96c04134, 0x876571d7, 0x4ee7fa6d, 0xb049c1d0, 0x43ff835d, 0xe63765d8,
+    0x96d167a3, 0x920cb746, 0x5c9deb61, 0x77375d32, 0x10347d22, 0xd2c24d2e, 0x366b1a13, 0x265fc918,
+    0x0486d9c1, 0x40637d5b, 0x10582b77, 0x5f5a760f, 0x30c40953, 0x84378d04, 0x05244243, 0x286ac237,
+    0x0a24d28d, 0x81acb010, 0xd21d2829, 0x306d17a2, 0x321eb517, 0x0eae92e3, 0xc90377d9, 0x66fd053b,
+    0xbf74977a, 0xa3963c1b, 0xd40c0375, 0x21f6bf03, 0x58668211, 0xf5f6f4a4, 0x6218333f, 0x444d76f4,
+    0x80afb094, 0x2a0c6761, 0x101fa3ed, 0xca363402, 0xeecd5215, 0x75d4162c, 0xd2c9c5c7, 0x87d71ca0,
+    0x9096579f, 0x0ce14ddc, 0xe43ca3ef, 0x1417b155, 0x28f804f3, 0xd4a26a4d, 0xbdb13d08, 0x4c236d53,
+    0x9573e6e1, 0xee2ab08c, 0x5a292b17, 0x7571d85f, 0xb9943dcc, 0x2965b240, 0xf606f38e, 0x39a7b2d8,
+    0xea39c893, 0xfc2cccfb, 0x1b795998, 0xb256572d, 0x6ae74b10, 0x34971b9d, 0x0a2a14b0, 0xd63c8ea1,
+    0x312fc864, 0xbc18f2fa, 0x56303093, 0x1b60a393, 0x3c4cc795, 0x23bfcbc8, 0x6cd979df, 0x8e28a9b5,
+    0xd9a84158, 0xcfe3cefb, 0xb0af5ab8, 0xaa3ab967, 0xbf02f69a, 0x8aea6322, 0xc619e1a2, 0xfd6bcbdf,
+    0xd0faddf6, 0x61dacab7, 0x0d4c9802, 0xd1ab30fb, 0xcf0c1b96, 0x3c98d0a9, 0xdf1fbe83, 0xb69b6bde,
+    0x18461a01, 0xe80c552c, 0xb6cc1a2a, 0x749903b9, 0xab28c671, 0x34b68025, 0x496b1cf5, 0x86845bdd,
+    0x284d9d8c, 0x037c492c, 0xd10a7fc9, 0xf54d2f57, 0x2b304e9b, 0xd48b6ad3, 0x861b1e46, 0x2681acfe,
+    0x9416ffa8, 0x71e27e2e, 0xc00638e2, 0xd9dab7ce, 0xf008714f, 0xd33e3793, 0x5d171c22, 0x2aaabc7d,
+    0x000e989d, 0xe7be7cb3, 0xb6e09b41, 0xa00ff7a3, 0x315a6773, 0xf0cc5626, 0x97398768, 0x33a3f78f,
+    0x751578fe, 0x1b09356e, 0x300d8e6a, 0xddd8c959, 0x57d7a693, 0x8b18d58e, 0xbd729885, 0x430a6a26,
+    0x088792ba, 0xc92cb23d, 0xe29736f0, 0x5e0cc72e, 0x4283c66b, 0x4d69d839, 0x176840c3, 0xf17d694d,
+    0xccb07192, 0x5e62b223, 0x6ea79373, 0x2dd4f028, 0xdc5ebaf4, 0x4f34513e, 0x576f1c0d, 0x247dc7ee,
+    0x2c7b4d37, 0x356d184f, 0x98b3d0c1, 0xd65f236e, 0x335e4e0e, 0xa6637247, 0x13254333, 0x9e6287a8,
+    0xdbd36866, 0x71ac6595, 0x73eada53, 0xe295f15c, 0x6c9473f4, 0x22449ab9, 0x2230c4dc, 0x3f73b5e3,
+    0xf59af877, 0xd8acf0fb, 0x6070d07c, 0x5efa6645, 0xec9c7758, 0x2d481c10, 0x644e5fdd, 0x11cab0e9,
+    0x95f7fbc5, 0x48b94aa5, 0x6215fb7f, 0xf4c6e58f, 0xb33b8e9e, 0x591bfa8f, 0xd1e7752e, 0x0f187ce8,
+    0x50d2c9ff, 0x3d04c9b2, 0x252ccc9e, 0x5df60c2e, 0xd59b6bd0, 0x4299c1f3, 0x7e0a2edf, 0xf73a8900,
+    0x2914e2ec, 0xd99964a5, 0x86769bfc, 0x77a7aaa2, 0x57c1f3b8, 0x4450fc31, 0xd2b4a6f1, 0xf0c5db2e,
+    0xf491060b, 0x7cc16421, 0x98a3b25a, 0x2d313a6a, 0xee8cba4f, 0xe7b66025, 0xdd65acfd, 0x26019bd0,
+    0x1e7abd82, 0x397f3dde, 0x5b727dfc, 0x2551a46c, 0x7c7d6f24, 0x4a0503fa, 0x48876d4e, 0xf8b5b182,
+    0x3aeaeff3, 0x9947f759, 0x2c69bce9, 0x26241c37, 0xe24e306b, 0x8a47139f, 0x8c1501e4, 0x44e1ff44,
+    0x08a658ca, 0x57385ce2, 0xab11c0ae, 0x9803bb69, 0x7a6a153b, 0x37461bfd, 0xd1ad7fb2, 0x171d6dc2,
+    0x05673daf, 0x58d7606c, 0xd7915526, 0xa4c6ef78, 0xff709212, 0x851e827f, 0xed43e88b, 0x41e96a6d,
+    0xf12ebd7c, 0xb99289c7, 0xd0dbd217, 0xcc0fbe66, 0x9ae8da01, 0x4f976d00, 0x4215dc41, 0x9d9c7f74,
+    0x997745be, 0xbf66b840, 0x84fb2402, 0xe22b2b22, 0x325d14e7, 0xdf713f61, 0x069e1c49, 0xd66bfa1d,
+    0x5905857d, 0xd91f2364, 0xf697eae1, 0x4c1c91ba, 0x8d3da831, 0x1851dd38, 0xce67d0ed, 0x49b11e36,
+    0x66f849b0, 0x57b90d9c, 0x1b181405, 0xea6ca195, 0xf15310ad, 0xc460ff2a, 0x07056ad5, 0x0b3effb7,
+    0xebd32dc7, 0x27dbb221, 0x91452a08, 0xc1e474c8, 0x06d10242, 0x76bc6e66, 0x5e80cb12, 0x4a156f59,
+    0x73fb5cfb, 0xe3c78672, 0xe60631dd, 0x092c2f0e, 0x1c7547d2, 0x99097395, 0x467f203f, 0x7f0d3519,
+    0x72b4d2fc, 0x639669df, 0xfc612604, 0x1af5ee1c, 0xb58297ee, 0x502fb5dd, 0xcc33d59e, 0x5502f73b,
+    0x04c8eef1, 0x1f7e845e, 0xb025999f, 0x650461ba, 0x766ae0b9, 0x40b0b9b2, 0xc72daf1e, 0x13a9d43c,
+    0x3ac12705, 0x1c839bfa, 0x4bde2a0e, 0x2bc7b207, 0xbbe11de4, 0x45e7e57b, 0x1ae102ec, 0x0aa09585,
+    0x6fc310d8, 0x7731c855, 0x07b116f5, 0xae427b93, 0xf7f0abbc, 0xc7a50c64, 0x1ca2485e, 0xbd612889,
+    0x3cb35414, 0x0bb90542, 0x43238544, 0x4a5f891d, 0xcb979c26, 0xeb15a2c6, 0x70488783, 0x0348190f,
+    0x94bbc496, 0xfd02c590, 0x8f2a1d4f, 0x44d13d00, 0x9acf3e9f, 0xe1e4016d, 0xd742493c, 0x4685576e,
+    0x4851798c, 0x4a020f1f, 0xf15a5f23, 0xdea5a044, 0xde8a6d88, 0x8f77e769, 0x84cc8b83, 0x6639eccd,
+    0x8b75c1af, 0x4afdabd3, 0xa9ef1a97, 0x5efe401c, 0x076773f1, 0xff52b23c, 0xbadd952d, 0x8260ff9f,
+    0x4f157fec, 0xdbb6d6c2, 0x86a2e371, 0x8ee889f7, 0xe1d7f3f0, 0xc8613f75, 0xd7562989, 0xe12c4d54,
+    0x33532f82, 0x7d5774ce, 0x48766f11, 0xf5871781, 0x876c2187, 0x6f681beb, 0x0ccd1cc0, 0xe789b313,
+    0xbca91930, 0x3233c3bb, 0xa951553a, 0xd2b4fa96, 0x9f9635de, 0x3ffa5731, 0x659db347, 0x66c7cc9a,
+    0x8522f4be, 0x1dbcbb3b, 0x12720886, 0xd76a4ccf, 0x20110f5e, 0x546b7a5b, 0x162f1ade, 0x5808f3ba,
+    0x8765aec7, 0x270ea97b, 0x476a90be, 0x8f744cfe, 0x4ec756de, 0x06d4d1a8, 0x8fdf0458, 0xbfc22a23,
+    0x201cf6dd, 0x77049dc0, 0x57379799, 0xa371bd03, 0x93f0c0b8, 0x267218e0, 0x1f77b4df, 0x55d2c9bf,
+    0xa54c9b0c, 0xab3ff2e9, 0x0abf6b04, 0x199ab7a2, 0xc6b3c1bf, 0xca4b7993, 0xee5c9d15, 0x10dae433,
+    0x4f81a93f, 0x4bad72b3, 0x8e8fa89b, 0x10161207, 0xcab7bb7a, 0xbdda6163, 0x88725434, 0xe1e87cee,
+    0x4ff6675d, 0x40c929c4, 0x7259ae04, 0x58170018, 0xbd9370e3, 0x6cca00b4, 0x779fb5c7, 0x0af775f2,
+    0xb4f4dc9e, 0xed297e77, 0xfb0dc3a9, 0xfcafaa8f, 0xe79a3825, 0x2cc9f419, 0x8c2673a2, 0xecfbe622,
+    0xb8a73e56, 0x684d5cf2, 0x34ea65af, 0x5b47aff7, 0x303c62ce, 0xbff24dc2, 0x12350bb4, 0xcc9fa568,
+    0x04f7144f, 0xb7d88ff4, 0x065b849b, 0x364d4592, 0x86788664, 0x3c3c6ba8, 0x26c3e179, 0x6fdee2ec,
+    0xb23e1058, 0x738bb473, 0x7142e59e, 0xd7c6f965, 0xa4190d2f, 0xa2876d14, 0xb3a02bfc, 0xad34f7f8,
+    0x6fd4d07f, 0x49f7ad64, 0x7befd6e9, 0x2272c955, 0x368d3b2a, 0x04f356eb, 0x10fccedc, 0x83cfdc4c,
+    0x82b14096, 0xa5616f9e, 0x0105e61a, 0x59882775, 0xdf2c3cae, 0x5fb9d926, 0x10355fd3, 0xab4c58a3,
+    0x80fd914d, 0x4f69525e, 0xc9b0921d, 0x6bdef4ab, 0x4226dec7, 0x1b200ecd, 0x141be0b4, 0x90197daa,
+    0xdbcd5a9f, 0xfc0811e5, 0x0859f37d, 0xd27f5b47, 0x2581c5dd, 0x5dfd7881, 0x9dd45d00, 0x5d0608a2,
+    0x967d4e6b, 0x00e16633, 0xe4a76560, 0x459f02b5, 0x9ef54c39, 0x032ea728, 0x538d8732, 0xebfd80b3,
+    0xc5eec2ca, 0xd4a9ff4f, 0x8fafad23, 0x9d6bfb22, 0x67bf5715, 0x62ad7519, 0x9fffb4b6, 0xec5026a3,
+    0x10eeddc2, 0x0b28efe9, 0x68dd4515, 0xfdea20e9, 0xd1764ee7, 0xdb1600a8, 0xa1113e28, 0x81a84243,
+    0x29cd0f29, 0x6a5d433c, 0xeaa137c2, 0xc587d7a7, 0xc2703f09, 0xe5de376f, 0x9b042040, 0x8e114ba0,
+    0x8040e046, 0x7784964a, 0x5ae6985e, 0x3fd484fd, 0x5c182749, 0xeca67c23, 0x03c1d0dc, 0x3a40a5ce,
+    0x7a98a27a, 0xc439f091, 0x8448e465, 0x294bcf06, 0x850bc9ef, 0xe01baefa, 0xe139e8fc, 0x5bca8e8c,
+    0x01b5b5b7, 0x32a4576d, 0x4e4569f5, 0xf482969e, 0xaaedc5c3, 0x5a70d767, 0x8bba5537, 0x87331e2d,
+    0x00000000,
+    0x63ad0bd5, 0x3e24beab, 0x9dd51f3a, 0x06650fde, 0x82e7859d, 0x91b6ac80, 0x37b3ad4e, 0xd96c55fe,
+    0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000098505015490986198030697600250359034512\
+                         69934817616361666987073351061430442874302652853566563721228910201656997576704 */
+  { 0x00000000,
+    0xb97fe362, 0x4653f0e4, 0x180b93b0, 0x7890d9f5, 0x7bf0d341, 0xa816bf73, 0x0d9df12a, 0x098b85ce,
+    0xb381bd82, 0x65eadb8b, 0x20a7c3b4, 0xfb1f74d7, 0x22f67926, 0x0ad90dc0, 0x5fd44397, 0xfbb40a64,
+    0xec278cbb, 0x7096379c, 0xd612ec27, 0x891d2fac, 0x18a904d1, 0x1a1249fc, 0xc0694fbc, 0x923536ec,
+    0x1ff66476, 0xbf1b080c, 0x6e7d545e, 0x7c603064, 0x066fc8f7, 0xc517afbf, 0x5ec3a9ff, 0x5de057b8,
+    0x30f4fd6b, 0x3c86b820, 0xfaceaaaa, 0x3ed4f604, 0x22b39468, 0xa4a6d483, 0x765ad315, 0x36c2efa8,
+    0x2241feba, 0x5adb372d, 0x13866c27, 0x4acc2c14, 0xc4c150be, 0x2c2c60d9, 0x486362ae, 0x77f1a217,
+    0x768b167e, 0xe506c44b, 0x79a33690, 0x6e971fb5, 0xe6e54e57, 0xee99939c, 0x4ed10a35, 0xde3945d5,
+    0x5af573ec, 0xe00f104e, 0x9f9b06b4, 0xa55a3c9c, 0x2f1e3dab, 0xd00641cb, 0x496623ef, 0xcd8882dc,
+    0x42ff2eff, 0xefad535f, 0x991c1676, 0x15ee3fcd, 0x73eb619b, 0x19f04746, 0x15fd9ab8, 0x83816c48,
+    0xa2514948, 0x8a99dc9d, 0x49c2638a, 0x13731410, 0x63903ead, 0x98093558, 0xc68e36aa, 0x852a1ed3,
+    0x6a5fc612, 0xcd378049, 0xf1d656ed, 0x2c3b90dd, 0x363006f5, 0x193feae4, 0xaf15d253, 0x95d1ce12,
+    0xf617054d, 0x3b06304d, 0x8a002374, 0x9493e541, 0x5a64db5f, 0x5bf69c63, 0x05afd03a, 0xf63115d0,
+    0xdbfa0bb0, 0xd222e6b7, 0x7ea5e1d2, 0x33dc9eec, 0xc56f5507, 0xfd01a4c1, 0xa3e2df26, 0xdbef1824,
+    0xc32dda8a, 0x6ccd55a8, 0x49dcce9e, 0xec1577ee, 0xf3ff035b, 0x4a7bd8b7, 0x37e34ea9, 0xf5a4a58d,
+    0xb6ee7361, 0x53a33d2d, 0xadc6959a, 0x3f31a8f0, 0xd07a9038, 0xc8a0cc34, 0x1b085a3a, 0x8eab33a1,
+    0x94164667, 0x51043cb9, 0x551f2912, 0x0c56a366, 0x887d3b29, 0xce7f0c6b, 0x10ca840f, 0x780d47ae,
+    0x52b522b9, 0x36e97308, 0xbd120741, 0x59edf5f5, 0xba4b2c60, 0x6531dc01, 0xed3a329c, 0x172d9119,
+    0x5cd6d288, 0xe0d52daa, 0x0fe59b81, 0x8d9b0b5e, 0xd09da27c, 0xa739ca49, 0x3b44dd7c, 0x53e9bff1,
+    0x467d15cc, 0x6509bdae, 0xe4d2894d, 0xf838c5ba, 0x05e94b99, 0xffa60d1a, 0x7ab43ebf, 0xcd460cf9,
+    0xc446bc68, 0x48973159, 0xcba7ce07, 0xa9b0f31d, 0x5bafa3fe, 0x082fbe02, 0x9ebd2435, 0x38b758f8,
+    0xa139cf8d, 0x41544843, 0x6026ad16, 0x33a17cee, 0x635b183e, 0xa8549da8, 0x35fdd96c, 0x986219bd,
+    0x3373250a, 0x8f579281, 0x11c7b550, 0x5a9eeba6, 0xb0b99e08, 0x23422b92, 0xd6836ad9, 0x27a961d1,
+    0x120aacf8, 0x490c80af, 0x27ec5024, 0x4407ba8d, 0xf03a394b, 0xf78507f2, 0x6d988074, 0x93d94618,
+    0xc44d9e27, 0xbc3e5aa1, 0xb1f6fab0, 0xb95887c7, 0x5a492b9b, 0x425e9a12, 0x77cbeff2, 0x82aa1eb5,
+    0x05225bff, 0x78a1cf2c, 0x1cf8e4ba, 0x737382df, 0x5356719b, 0x1e38c550, 0xbccbbdaf, 0xec37cabb,
+    0xe73a177f, 0xc713f82a, 0x46a883e3, 0xb030657c, 0x0eeee03d, 0x176c6740, 0x78b15cdd, 0x72c4b33d,
+    0x63aff47c, 0xdc06912a, 0x6aedfc17, 0x6eba20d7, 0xdfd74dd7, 0xe769b712, 0x9694104f, 0x84589f02,
+    0xdad62a09, 0x449ea7c4, 0xf5fa9e7b, 0xf7fd02b0, 0xc8e422ec, 0x47c6cd7b, 0x4fc68680, 0x19d7addd,
+    0xac31d99d, 0xc975e5c9, 0x341f2d9d, 0x00f72bc6, 0x6bc26d76, 0xf6ef098d, 0x2cab327b, 0xd0c7b131,
+    0x3d861853, 0xeee4c6f3, 0x71499e8d, 0x2329b49c, 0xb934e443, 0x26662446, 0x7ae58dca, 0xb9815194,
+    0xf5a22bb3, 0x24f360f8, 0xc7173728, 0x5132c040, 0x8858ac62, 0x0a82fcb1, 0x2ee7f641, 0xc101b0a2,
+    0xe51a845c, 0x0a6ea685, 0xadd0905c, 0xec3a3551, 0x4af9c712, 0x282ed842, 0x05a8c3f4, 0xf0127d82,
+    0x50704654, 0x52a9a689, 0x92b24751, 0x22f7ce33, 0xa6ac63c4, 0xbd608eda, 0xce04794c, 0x994268a7,
+    0x15661b09, 0x64135188, 0x59127672, 0x0198c6eb, 0x62e78d37, 0x061e9152, 0x9ba58e79, 0x11d7b16a,
+    0x087c35a9, 0xbd88cd79, 0x88dcfe51, 0x62fa6a16, 0xabba0167, 0x463793f2, 0x93c3110c, 0xd6a3ac78,
+    0xef3da58f, 0xbf55ac9f, 0x0f6ed1ae, 0xe723ba18, 0x2a59daa5, 0xaf67bc06, 0xaebd1722, 0xe2f6faaf,
+    0x4c85c192, 0x2ec07180, 0x72d03001, 0x7b95faae, 0xdd787488, 0x15f98c2b, 0x0aa94cb0, 0x9c4a4dc0,
+    0x80753257, 0x0ec628a8, 0x24331e64, 0x8694abaa, 0x8fd86c92, 0x2f2b3df3, 0xef8816af, 0x52b39f03,
+    0xc5b1bb48, 0xb2e43c44, 0xf4e6d3c2, 0xd91415cf, 0x34b5337a, 0x369b43c7, 0xdbb0384d, 0x63c79427,
+    0x1b789719, 0xb28410aa, 0x20cfec64, 0x720eea93, 0x9e8e567d, 0x1ee33070, 0x97ce0a59, 0xeff53e9a,
+    0xd655cdac, 0x5c66ffaf, 0xbb5f0618, 0x8f96864d, 0xb768bad8, 0xa9aa1361, 0xe8094ac3, 0x01a2740f,
+    0xf138ead2, 0x03ea4a72, 0xcda49498, 0x0e8a0c52, 0xa28ca383, 0x5406b520, 0x99f871bf, 0x390071de,
+    0x0082d17f, 0x8d829db8, 0x45e9b72a, 0xd6ed92e7, 0xcb7018ef, 0x8c25d637, 0x7e9b563a, 0x00118c63,
+    0x3ddd3c6a, 0x35627698, 0xc60f53a7, 0xe4b2db52, 0x04690def, 0xf442d8da, 0xc3ad018a, 0x4fe6bfb5,
+    0x9025090b, 0x682cdb8f, 0x573de6a8, 0xa9f2ee48, 0x0fe58f96, 0x54022b48, 0x137b2bd5, 0xde3a45cb,
+    0xb1b96bf2, 0xa642fdb8, 0x34b48939, 0x838dae60, 0x7098d1b0, 0x533ff130, 0xaf17694c, 0x4af44124,
+    0x35812f0e, 0x1a93bfa6, 0x71f7c11f, 0xcf8582fd, 0xed06eb54, 0xb83b7643, 0xe561f371, 0x58d19116,
+    0x3a7c1c69, 0x525cb491, 0xc018243c, 0x085d25b9, 0xd874aec5, 0x389995f9, 0x7b3c087f, 0xc073b8b3,
+    0x109ce5b7, 0xe169b75f, 0xabd101bb, 0x45aa14ce, 0x8f3dcad7, 0xd81f234f, 0x52fdd2e9, 0x4dc49057,
+    0x3f7a7585, 0x3b908c9a, 0x1d78aec0, 0x4d69c2d2, 0xcd24343c, 0x8a0a6c5d, 0x0440f084, 0xef5aaa6c,
+    0xd2e83b22, 0x97f2b8bf, 0xe1610263, 0x63f4ee29, 0x118e2b66, 0x2b1d9429, 0xef0c667f, 0x4e8b8928,
+    0xf1d1c3e4, 0x672c5e3f, 0x496f117f, 0x15d3b681, 0x15ce8d1c, 0x34fa2fa0, 0xb11bab79, 0xb6dafa25,
+    0xb6bbf820, 0xf911b7ae, 0xdaf9b68c, 0x3500d2a8, 0x25b0b916, 0x1ea08b32, 0x571a7b76, 0xbc1ce1bf,
+    0x919306ba, 0x32dcf1ba, 0xc6225019, 0x026f5d14, 0x807fec86, 0xa497381c, 0xd633d929, 0x3997278e,
+    0xfc6daca3, 0x0c61e949, 0x37052891, 0x61f07bd6, 0xc8e4ee65, 0x49f0ca44, 0xfa999712, 0xdc81e58a,
+    0x6eafbf4a, 0x575fdbe5, 0x2b54c99a, 0xb6dc3c72, 0xefe103b7, 0x776f7343, 0xe864b382, 0x3cef62b4,
+    0x5fd78a55, 0x7d0c94ee, 0x1dfee21d, 0x5134518a, 0x9953830d, 0x1537848a, 0x6abcdbf0, 0xa71dfef7,
+    0x9e4359b6, 0x89955c51, 0xb883b81a, 0xdc52349e, 0x1405ca50, 0xde407b2a, 0xda320b7c, 0x45b3c521,
+    0xb552898c, 0x0e7664d3, 0x9e29309d, 0x19480824, 0x28f5e191, 0xd5ac4e61, 0x4a56f2fe, 0x350cbc73,
+    0x1779a2af, 0x88da8381, 0xa6976581, 0xa9c5bc1b, 0x326e5518, 0x5b220d4e, 0xef803a1e, 0x3a7f3140,
+    0x84a0dffa, 0xf3f58480, 0x9815dea1, 0x3a24b1b3, 0x692da8ed, 0xc0338171, 0xd706eb6b, 0xb5271f9c,
+    0xee008e55, 0xdbd4b9cf, 0x6ca8e21b, 0xef842fec, 0x2023da8a, 0xb022ecd8, 0xe810e82a, 0xad1d8189,
+    0x8189fab1, 0x008528fa, 0xa69c76b1, 0x8edd6214, 0x305bb95c, 0xd31b3277, 0x7fac560a, 0xa49e2806,
+    0xcfda4267, 0xa3ddbe1d, 0x186b8c3b, 0x6e0d7fda, 0x08daf466, 0x94c9e313, 0xa562af27, 0x686b4768,
+    0x283445a1, 0x67d47afa, 0x84b9530d, 0x1f450f28, 0x015332fb, 0x546164a8, 0xd0b5f503, 0x8d2a6d1b,
+    0xe14a6352, 0x3f9744db, 0xdf23bc62, 0x6e5a9c32, 0xe8a6f4ff, 0x331cd983, 0xda6aa7d3, 0x3a5e647c,
+    0x9ba55fd3, 0x76aee879, 0xabb4d4e2, 0x4d0375e5, 0x6d55fb32, 0xd656cd5e, 0x692a2a1a, 0xf648b207,
+    0x0d414a69, 0x9824aec4, 0x4e5eba3c, 0x5ace199b, 0x68d66635, 0x2ed8ae9b, 0x6e5439a3, 0x8af7c94e,
+    0x7699d4ae, 0x0a997b98, 0x4d43e4c1, 0xdcba06c8, 0xf36b5520, 0x9446a168, 0x78520073, 0x311fdf85,
+    0xcddb902f, 0x5b8a9aae, 0x35fe2edf, 0x56eab48e, 0x777fe65f, 0x6e120d37, 0x911dcc44, 0xc725ffd2,
+    0x91bf012d, 0xb2ca9dcc, 0xc4f53b12, 0x95196c49, 0xf60995f2, 0x730a9bad, 0xe539bffe, 0xf794ee97,
+    0x56728e9b, 0x2f4d92e8, 0xb55a48cb, 0x354dc6e2, 0x87339f6c, 0x224c0002, 0x9d282f5a, 0xc7d70123,
+    0x2a0740c8, 0x58f9373e, 0x01e9829f, 0xa57e7adc, 0xa9119446, 0x4a61dc43, 0xadc3dc30, 0x86dbb733,
+    0xc376aa43, 0x7809978d, 0x546dcffe, 0x630006d3, 0x6dc9d663, 0x4a85f5c2, 0x29bea7e1, 0x860c06aa,
+    0xb5475f00, 0xb5e705ea, 0x08ad6d23, 0x20d4586e, 0x2d299d17, 0x33b4b51d, 0x377c47e4, 0x4a265c12,
+    0x2206966b, 0x115f7fc1, 0x246b1a10, 0xfacc65fc, 0x5eb2c480, 0x29579643, 0x689b666b, 0x451bbf25,
+    0xbf292fe8, 0xb27a67c6, 0x2b24ba75, 0x10833eb3, 0x5f21b562, 0x63d6d5c7, 0x80d71b79, 0xb434a09c,
+    0x856017ed, 0x239d7e75, 0xfa015f8c, 0x9850cfd6, 0x68d8c079, 0x66f93661, 0x8d2bd74f, 0xed81c055,
+    0xd9b82768, 0x9ceebb37, 0x32f61875, 0xbd10cb3a, 0x8cdfb4dc, 0x47301061, 0xa698be9e, 0x09a03159,
+    0x0cd1b9f6, 0x9e4c498a, 0xfb01b110, 0xcda815f1, 0x20004f92, 0x2220564a, 0xca3c2b85, 0xe6df027e,
+    0x1604abd6, 0xa40e5476, 0xd2b01551, 0x87c8a41f, 0x70f62914, 0xb4e9a289, 0x0d610dcb, 0x2384b76d,
+    0x95fb0fc0, 0xf784bcb1, 0xc1af341d, 0x3c64d893, 0x0b5afc91, 0xe58e8f0d, 0x0ab76b59, 0x5de27bb8,
+    0x7f7a1873, 0xcbd4046e, 0xb71020bf, 0x865116ef, 0x7479dcbb, 0xa4c84cda, 0xfb4e1c5c, 0x329ed083,
+    0x668ae38e, 0x354b965e, 0x077ba9a0, 0xc900cd42, 0x01dde7f7, 0x9a21d8c3, 0x1334cbc5, 0xbcf8a8a7,
+    0xb08d4a65, 0x7017aa26, 0x7827a818, 0x0f22bd7b, 0xa5b951e1, 0xbeb773a7, 0xf64b1fda, 0x95d84816,
+    0x2798a833, 0x218eb40a, 0xdd3e0421, 0xf4061382, 0x6162ddac, 0x82c1c4d2, 0x8d1cc8e2, 0x1b409557,
+    0x56c4abc6, 0x63d19304, 0xac3bd6a6, 0x9cb56ad7, 0xb3cee715, 0x569175eb, 0x00fe2e20, 0x94ade368,
+    0x0aecaeff, 0x2b4d29f4, 0xdcfa9c32, 0xbaa6e502, 0x74d5e002, 0x56a9016a, 0x11b23d1d, 0x82189769,
+    0x628b5426, 0x71200632, 0xfd1186a5, 0xfb5d3bb5, 0x1612785e, 0x57ce01e7, 0x3d5c10c4, 0x20945fc6,
+    0xcc4f946a, 0x6e292dbc, 0x1f86da4e, 0x0c7798cb, 0x2d86973a, 0x63dd6852, 0x45823023, 0xba4e4284,
+    0xd03a412c, 0xf859ce84, 0x851fdc93, 0xe068ff38, 0x755affc1, 0x2477b4d8, 0xf098456c, 0xc8b581c5,
+    0x807bb952, 0xe85de782, 0xe4f644c3, 0xb7757dff, 0x886b9cbd, 0xf3ae95fd, 0x3eea38bf, 0xc5ddfe9f,
+    0xe4784707, 0xe309d546, 0x8912d29f, 0xfbc96f9a, 0x36c4aaec, 0x6a15e8db, 0xbed1af5d, 0x5a2210d7,
+    0x96178d93, 0x92b4a380, 0x934865ab, 0xcd81b227, 0xbebaab96, 0xcd6716bf, 0xd66d9587, 0x0a98c038,
+    0xb089f527, 0x8a938338, 0x9c1becf8, 0xeea7f6c6, 0xf9e5ffc6, 0xea2dc1ec, 0x2ec3d117, 0x0be83823,
+    0x94022882, 0xd354b77e, 0x25b38798, 0x01669972, 0xc0b27566, 0xbfb2a68c, 0xe4bdb163, 0x6295c3d5,
+    0xa0ac2857, 0x40e65b5f, 0x8d694438, 0x67d601ff, 0xc394e935, 0xbc596b8e, 0xf47b727e, 0x7823ad0e,
+    0xfcce1cc0, 0xb9f4eb51, 0xabf87b98, 0x380ef768, 0x40b3dcc9, 0x765ca312, 0x72563ef8, 0x1e135c85,
+    0x5d76e608, 0xfb457c0a, 0x799573bb, 0x17c3daf9, 0x9c00768c, 0xa564c809, 0xf1f3d4f9, 0xe921274e,
+    0x944b62bf, 0x92c2bc4c, 0x6f150da9, 0xd26f097a, 0xb2f58f3a, 0x5affb101, 0xc9b29cbf, 0x87cdf055,
+    0xda510ea4, 0x0575ea40, 0xa8a7f3c2, 0x7b15aba6, 0x538c7ea9, 0xa4cd2d6d, 0xe7085fc8, 0x2ce889a1,
+    0x9631e184, 0xccdd07d7, 0x577af555, 0x7ce4784f, 0xe66b6756, 0x0cb9cd15, 0xedcd614a, 0x3c3ef6c7,
+    0xd0a27379, 0x1b680880, 0x775a8f65, 0x69251155, 0x8e090f46, 0x1307d8e3, 0x4138d59f, 0x97a167a8,
+    0xbd0f5ae5, 0x4f0c23bd, 0xede2284b, 0x0c310b6b, 0x53426c1c, 0x81ce5147, 0x160fa989, 0x35e1bcea,
+    0x7d36b1d0, 0x5e124735, 0x879feeb6, 0x2b3cf7a8, 0x8f33ea3b, 0x24d16672, 0xb58ea1fc, 0x89a13e9f,
+    0x7ee13223, 0x2604bd8b, 0xd9dce7d1, 0x9320e883, 0x8912f4b2, 0x9a85269a, 0x5ed86ff0, 0xc0dd3693,
+    0x731eccf2, 0x38e11e77, 0x6ccd5076, 0x3145625f, 0x2537e651, 0xe300db6a, 0x0480c936, 0xf06fadaa,
+    0x0339c647, 0x1dacc7de, 0x384d90d0, 0x6b258e0a, 0xb662d9e4, 0x2ab8f3a6, 0xabdfde1d, 0x45089a99,
+    0x262b77a2, 0xbf654f8f, 0xcd1e7de9, 0xd2f74d66, 0x47dd6ffa, 0xffb302a2, 0x3bbeccde, 0xb442c29a,
+    0x6f2e6ea0, 0x3e9827f0, 0x0dc25ae7, 0x208e04f9, 0xf4c6dedc, 0x7fd0f7f8, 0xd6fda1f9, 0x1bc42a60,
+    0xc6df129d, 0xd0975e70, 0x465483a2, 0x3f9a2b70, 0xdcd413c9, 0x9d357e7c, 0x4c0057ca, 0x22e48e7c,
+    0xd667333d, 0x57521ab9, 0xde22ba35, 0x3acd0ee5, 0xdc446fff, 0x988abba6, 0x6d3e38e1, 0xac41a358,
+    0x1caf5f56, 0x8894cf32, 0xd3f554ac, 0x693ec316, 0x385a7ba4, 0x9e5e1acf, 0xc57ebec7, 0x887b7010,
+    0x22fd0b09, 0xbfab6242, 0x41a78be2, 0xce37cef5, 0xce33c190, 0x8dc6aacf, 0x4d97556e, 0x4471e2ad,
+    0xafbae8f9, 0xf5fb6716, 0x78ce91a5, 0x48d2fe20, 0xdf3c7a52, 0x6c207951, 0x4c566498, 0xdd53c150,
+    0x93e31055, 0xf93a6591, 0xd9c201ef, 0xfb4056da, 0xbfc5a8f0, 0x19b0886a, 0xb7457e5c, 0xdbae4ccf,
+    0x9e7f3bed, 0xe6189a5d, 0x02d8cc06, 0xaca44ca7, 0xea43b3bc, 0x55c50bcd, 0x34471226, 0x7baff985,
+    0x1ceae372, 0x6f81945e, 0x73f77f6a, 0xae49f657, 0x190e636b, 0x020e2dfd, 0xe665f5ea, 0xef8eb8bd,
+    0xdfe3144f, 0x1686d57c, 0x91d651d5, 0xc4714b25, 0x8009824e, 0xd00cef4e, 0x907cce2f, 0xaa51c321,
+    0x88c01aab, 0x512efcd9, 0xfb072c11, 0x9d408aa5, 0xb8302837, 0x80f31b4c, 0x76d502d8, 0x884dc0d7,
+    0x3058e93e, 0x46eeaeac, 0xf83d3a1a, 0x4c48272e, 0x4fcf92ab, 0xc7313dea, 0x7c0c043c, 0x6ee06be9,
+    0x73714f89, 0x7ad6e44d, 0xa6047693, 0xa32da9bd, 0x1414fb7d, 0x394ca49e, 0x3bde1c81, 0x66c7bfa9,
+    0xbbe02002, 0xd84b3ad3, 0x63bb7237, 0xc52243dc, 0x80ffefc2, 0x26d1f9b8, 0x21e28ba3, 0x8db92c6b,
+    0x98d36d01, 0x71811fc3, 0x1980ae4f, 0x9184f588, 0xf3133bd5, 0xb6ceb0fa, 0x64dc887d, 0xfb411b22,
+    0x2920fc08, 0x8eaa4696, 0xf47c4fec, 0xa15c665e, 0xf5ae61c2, 0x8a74eba8, 0x55fbfe2a, 0x24f59f84,
+    0xf4b87aef, 0xf84e349b, 0x9e0b6346, 0x2859e96b, 0x4dbfa582, 0x8206fd3f, 0xa2db04bc, 0x838cf3c4,
+    0x00000000,
+    0xb1d685ea, 0x1f125f55, 0x4eea8f9d, 0x833287ef, 0x4173c2ce, 0x48db5640, 0x1bd9d6a7, 0x6cb62aff,
+    0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000049252507745493099015348800125179517256\
+                         34967408808180833493536675530715221437151326426783281860614455100828498788352 */
+  { 0x00000000,
+    0x7dfa83cf, 0xce6348d9, 0xa5512012, 0xb809786d, 0xab26f3ba, 0x45173570, 0xec861bb6, 0x8ff80a6f,
+    0x1d8aec21, 0x4228f320, 0xb9fc773a, 0xd449d2ad, 0x3fafcfe4, 0x0ca64c06, 0x85c248c3, 0x168dceec,
+    0xbf3997d5, 0x6e08e96b, 0x2ae81078, 0x6c93dd05, 0x4c8acc36, 0x33a0b81f, 0xba843932, 0x9a460b8d,
+    0x255c2f8d, 0x0e829f3c, 0xab6d5360, 0xe450bfc5, 0x6fde4ecf, 0xd3c8b9b0, 0xedb9a5e6, 0x9014a8f6,
+    0x1f86cf3d, 0x03d3de4b, 0xcecfc76a, 0x3fe98444, 0x0eaadbbb, 0xdfed1a47, 0xe5e5520a, 0x9cc7a27e,
+    0x30baed91, 0x942e1cff, 0x0a57e40f, 0xf8cd7878, 0xeeaf7da7, 0x77794867, 0xa05e0335, 0x0b4b0c8b,
+    0xf272578d, 0x56c195c9, 0xcd5e525b, 0x1e4f6c61, 0xfc61fedd, 0xc277c1f0, 0xf4e7d62c, 0x493d0f78,
+    0x9b6c023d, 0xe62bb665, 0x8024ca7e, 0xfbb69c61, 0x71e4b6ab, 0x509dab9b, 0x3ad5211e, 0x24dfc67a,
+    0xdf4f5546, 0x61a135b6, 0x9f97be3c, 0x77bdf030, 0xb6013e94, 0x49fbaa67, 0x7494d48b, 0xc0ade658,
+    0x4a17cc33, 0x819116f3, 0x53d61cd3, 0x9815f22f, 0x076011d9, 0x31f37a87, 0x0c0595f6, 0xcefaa318,
+    0x924f6dc4, 0x9f0ca518, 0xa895e7f2, 0xbf06b0ad, 0x4f30d071, 0x7009944c, 0x216db384, 0x04babbe5,
+    0x789ae572, 0x11e1c3c0, 0xaa3f28f4, 0x76971bd5, 0xbd49dfd8, 0x48313a2b, 0x80c89d39, 0xe0e4e964,
+    0xc3f1c853, 0x612789e2, 0x0296e55e, 0x5b898081, 0x6304fe09, 0x2d9ee259, 0x99ea1995, 0x8a846f50,
+    0x658542f6, 0xa43040b8, 0x65b82c7f, 0x9557412e, 0x84bf6d08, 0x2fe57170, 0x008cb43c, 0xb0122464,
+    0x1ea4b859, 0x7f1bd6b5, 0xb12d2fd9, 0x6b3d34fb, 0xfa44f6d8, 0xb0e072a4, 0xd51568b6, 0xed2564a0,
+    0x4981ba89, 0x2db6dd22, 0xdb0c0757, 0x13229c54, 0xaf9c79c9, 0x445b005a, 0x41175515, 0x1ec03f53,
+    0xb3ce9705, 0x84ccb375, 0xdbcb939a, 0x2a3579df, 0xacfce83b, 0x39eef20e, 0xde9f29b3, 0xd1a86e47,
+    0x56171165, 0x50cf25cf, 0x0a77e395, 0x6d3a279a, 0x950cd744, 0x746c9b8e, 0x45e59dc5, 0x13242670,
+    0x72c3f2af, 0x7687b3ed, 0xcfae26c1, 0x18b931f3, 0x968efbf9, 0xdf73f654, 0x6bac7a57, 0x95992231,
+    0x9f710351, 0x2151ba1c, 0x0f7c3ca7, 0xce04aa67, 0xc9c2b499, 0xbdc9efd0, 0x8995f9fe, 0xda1e008c,
+    0x739c253e, 0x79d08982, 0x643b03a0, 0x2bed3de3, 0x76463eab, 0x36ff67ed, 0xff8f76fa, 0xa223fe21,
+    0x0e8ec0af, 0xa75cfc36, 0xe2a14711, 0x062cd47c, 0x651c4e94, 0x8556d7ed, 0x544c7c47, 0x0b0ad68d,
+    0xef08c579, 0x054f4623, 0xfb8597c3, 0x7f2b9735, 0x059ab989, 0x77c5d471, 0x095418d8, 0x81d201ba,
+    0x67710624, 0x1bfda2a4, 0x312c8159, 0xd30b6fd0, 0x383af273, 0x477400ba, 0x6bc03df0, 0x4866e1ae,
+    0xa655f142, 0xdbbb5730, 0x7ff5c85f, 0x6b098da0, 0xe6730e39, 0xb517bd3a, 0x1c5fc674, 0xfcc92a08,
+    0x2ff2624d, 0xcf945feb, 0x3645b8f9, 0xe520483a, 0x3562a9b4, 0xfd131824, 0x4cdfcb3a, 0x6e9a5583,
+    0x2d6c6525, 0x6cc39562, 0x6157ba35, 0xc423b473, 0x67fc7a42, 0x5df07e5a, 0xf6fbf278, 0xb7962c3f,
+    0xde278389, 0xb288b782, 0x03c5cdc3, 0xff176a3e, 0xb81bb091, 0x15647824, 0xf67fb105, 0xad3668dd,
+    0x6468cb2d, 0x7148e44d, 0x082e82d3, 0x751e53fd, 0xdb7d5b0c, 0x951215c6, 0x405f3e4f, 0x0db9c70d,
+    0xee136391, 0x46a9a40f, 0x289ed7e4, 0x3a5f4b49, 0xb894f502, 0x9fe9170d, 0xf5dc6b24, 0x6d2e57a9,
+    0x5e42d758, 0x1bdd0b68, 0xbc5a0269, 0x881261f4, 0x95b6959f, 0xaa143464, 0xbd4c624d, 0x02034f73,
+    0xaed5c7a9, 0x565581c8, 0xb1899b43, 0x1d230e83, 0xd579a588, 0x7749ac54, 0xe529a8e8, 0xc5af0ebd,
+    0xf76e585a, 0xdd8e2528, 0x4a72bf37, 0x672511ce, 0xd7cd4f05, 0x28935860, 0x52288dac, 0xd110ce10,
+    0x687f4f66, 0x90d2e1a7, 0xc605fbc6, 0xe34a0a44, 0x239e369c, 0x4aa438a7, 0x15bc120d, 0x7c5af3c6,
+    0xb9c264fe, 0xde89df1b, 0xce6728ec, 0x0294e607, 0xa6cf9c82, 0x1f582bde, 0xea7f36c4, 0x890f7ee8,
+    0x40696f76, 0x03069798, 0xde009cec, 0x7135f623, 0x8feeede2, 0x41fcb298, 0x8030c4dd, 0x4916de09,
+    0x14853456, 0x4d274fd4, 0x0c9b16ad, 0x51b25bed, 0x5543a6a1, 0x4adca7e9, 0x6a71081a, 0x91ebdc18,
+    0x00d18827, 0xec106fed, 0xd9fa9883, 0x58008f6b, 0xf774013e, 0x4a90f4d3, 0x5507500a, 0x9c614912,
+    0xa7b4453b, 0xb4c4d10b, 0xbe676b6d, 0xc5492ed1, 0xa5c4c5a1, 0xd6b81355, 0xde8cc571, 0x70d1352b,
+    0xf470a341, 0x88900843, 0xc2a4de38, 0xf467d7aa, 0x773afa93, 0x9e4d228f, 0xd7ae898b, 0x2ace7ecf,
+    0x9756be63, 0x60a0d4d8, 0xa8922e22, 0x5a33489a, 0x0855f34d, 0x44b0be3e, 0x00018692, 0xd1be11ae,
+    0x71775067, 0xead59b47, 0x730fcbe5, 0xe4b31c84, 0x98388724, 0xd6a4d2c7, 0x0f224213, 0x3ad6fb85,
+    0x747e789f, 0x23170811, 0x37ddac2b, 0x806b57a6, 0xa5d9b405, 0x6d7f4b02, 0x17cba520, 0x9e5b9d1c,
+    0xaa6212ba, 0x379cb954, 0x41028025, 0x8fb08cc5, 0x7d050e7b, 0x8a4654f4, 0xb8d9fa2e, 0xe4c855a8,
+    0x1d45616a, 0x2367afa0, 0xe491eb54, 0x1b0ed2b4, 0x1810477b, 0xbfdf8b01, 0xb1a686f6, 0xb88552f4,
+    0x50ac6547, 0xd7c2059a, 0x2b36eaa7, 0x93c7c3d8, 0x51e8ab24, 0x1fa47d18, 0x923cd1db, 0x9868325d,
+    0x5129f774, 0xb206caf2, 0x3f5c9299, 0xbb86701b, 0xb0f8d315, 0xd83296c4, 0x61f87cac, 0xbb77a4c7,
+    0xa75567aa, 0x976d0742, 0x389318ec, 0x59734796, 0xe16099b8, 0xc15e52be, 0x73b42b18, 0x31f31a1f,
+    0xba0ca64a, 0xf8594219, 0x00813a10, 0x4ae3920b, 0x999e1557, 0x0ae614ae, 0x9fbc3c1f, 0xdcaa7325,
+    0x207adcc9, 0xbdda37fe, 0x49203f5c, 0x599ef27e, 0xc70343dd, 0x6cc4d02d, 0x974aa4ec, 0xb3ef8dea,
+    0x4faa14b9, 0x26357cc1, 0x5df2a3c9, 0xc38db6d6, 0xfd1ce593, 0xf761f3ff, 0x57ef6b14, 0xb742b4da,
+    0x40166976, 0x06ce975a, 0xf31fe898, 0x7d46ba8d, 0x6f5967e6, 0x7936475d, 0x377cb3fd, 0xcac5cb1c,
+    0x84d01463, 0x8af8813a, 0x3946578e, 0xd8c4c71e, 0x07b2e640, 0xe1a03d7c, 0x7a46eefd, 0x42b5b23c,
+    0x36378e36, 0xa98c4799, 0x421c095e, 0xb189d4d6, 0x7c31197c, 0x888fb8e4, 0x48a1b3d8, 0xd4191fe8,
+    0xe2012154, 0xce379542, 0xfee6bb85, 0xabc08bab, 0x2567587f, 0xfd864582, 0x37dd247b, 0x1cd49ce7,
+    0x0b3a3d86, 0xe8e21ed8, 0xd7249849, 0x5b5bd047, 0x149a86fa, 0x2cb60e53, 0x6ef315b8, 0x205a0bcf,
+    0x40cdbf97, 0xe7129166, 0x323ef3b1, 0xba14289c, 0x272413c3, 0x068274d2, 0xad7cd989, 0xae2ffd27,
+    0xeeec06ba, 0x5f9e1022, 0x38f95895, 0x75a805e9, 0x2fa10c35, 0xec83385a, 0x3698a189, 0x611e2601,
+    0xee63dc4d, 0x78cfeb35, 0x9b5918a7, 0xc11eb89c, 0xb649b271, 0x81bb16c7, 0xa1326bfe, 0x7f8f8d90,
+    0xdc73ff85, 0x5ca6ec62, 0x3dbba111, 0xefc01e2a, 0x6d605eec, 0x8d4171e3, 0xcb77891f, 0x685c2c39,
+    0xb999f2b8, 0x05741444, 0x739e8195, 0x79d78ce9, 0x1612484b, 0x13ba357d, 0x692e8a9c, 0xafb5da01,
+    0x9259514c, 0xf6b9e657, 0xcc8748f4, 0xaaca6cc0, 0xa65dac04, 0x780aafe2, 0x6a9000ec, 0x835e8688,
+    0x89d23f3f, 0xdbc24361, 0xf754c855, 0x53379b0c, 0xdf739e60, 0x1b268607, 0x56f3f471, 0xd97de916,
+    0xdeabae20, 0xe71e4a6f, 0x4827faad, 0xe2801930, 0x3e5b6b94, 0x6e7e735e, 0xc888741f, 0x9e520d51,
+    0x6b82266e, 0x323cc5d2, 0x38f7fd3f, 0x26105241, 0xcb300868, 0x8f77cd41, 0xa5a3ff22, 0x5c5b35a8,
+    0xd590ffd8, 0x0814efc7, 0xe7ca7aae, 0xa8161626, 0x8802b1f4, 0xdc2d7bbc, 0x8fed10ec, 0xd9f79a60,
+    0x8fa31372, 0x5ee9cf9a, 0xf58f2cf9, 0xb38be777, 0xeadcb3a8, 0x0f5d1cc6, 0xf805a02f, 0xcf6aedb9,
+    0x9f8d9e1f, 0x93007669, 0x8a46ea56, 0x2cf27a7b, 0xcc383a86, 0xaea0931b, 0x81547e1b, 0xf0a2b4b1,
+    0x11793a0b, 0xf6ae5a27, 0x65c060a3, 0xda9df925, 0x0df5852c, 0x8ab9eac9, 0x0158b1e3, 0x46a89823,
+    0x99ee22d5, 0x35d58556, 0xa7fe7ef5, 0x202ba896, 0x3a60f42d, 0x003be6f9, 0x2acef544, 0x72e865db,
+    0x2ec253bb, 0x74b0830f, 0x864451de, 0x5caf6989, 0x2dbd2a47, 0x686e1f34, 0x11e71a9e, 0x0fdfc17c,
+    0x1b4e8e3d, 0x3f7db623, 0xe71121ae, 0xefc6fb61, 0x8ca4df55, 0x9a380a6a, 0xcc2c8033, 0x05f147ef,
+    0xbde91fa6, 0x4d2ae1ba, 0xf66581ed, 0xbfe33b3a, 0xad9ce459, 0x3484e16b, 0xed1d0fbf, 0x75f43a87,
+    0x14631909, 0xa510d9a4, 0xc02261e2, 0x21c1e962, 0x18fcb0cd, 0x6aa041ee, 0x80609b69, 0x1309c4c6,
+    0x1f247e53, 0x83184b1c, 0xe1c676ac, 0x07d87f07, 0xc94e12e4, 0x25d34ef4, 0xc953714e, 0x3daf52aa,
+    0xcae68cac, 0xc1726bee, 0xef5222f4, 0x284e17c7, 0x60b0a2ae, 0x63475a5d, 0x3e7eec2c, 0x9f2ba6dd,
+    0x0a6dde01, 0x30b81abe, 0x296cfe74, 0x45dd8d84, 0xa5dfc52d, 0x3c8f7b62, 0xbd27e939, 0x1263b88d,
+    0x2a8c37b2, 0xafba763e, 0x42e51192, 0x209d70af, 0x3cd4106c, 0xab30a221, 0xd5702ecf, 0x1349f2aa,
+    0xdd47d828, 0xb956594d, 0x68b6ad08, 0xc0a8203f, 0xd7a6049b, 0x440cdb50, 0x2c0d8834, 0xa2a14cf9,
+    0xeea798c0, 0x3f26d31a, 0xe6d60e83, 0x2ecc2bbb, 0x928a793f, 0x976b18a5, 0x8f585d94, 0xff89ecbb,
+    0xe2d13ea7, 0x8da166b6, 0xd553c958, 0x3b2d6d88, 0x28c75342, 0x67aad34d, 0x4d1c1ffd, 0x0643ec4f,
+    0x2b36b9c7, 0xdb8d3dfd, 0x55f6a7e8, 0xb4356101, 0xb056174d, 0x10261f5e, 0x5d3187fa, 0x3fe45d53,
+    0x54198c15, 0xfc75593a, 0x1e183b43, 0x8727557e, 0x940a270c, 0xa5e9450d, 0x73f6fa4b, 0xe48805b6,
+    0x640880c8, 0x37913ad7, 0xd6b9c95c, 0xb1bbc74c, 0x40a8c8d8, 0x063980ae, 0x617082a8, 0x1c345150,
+    0x3025243c, 0x98ab2155, 0x05087390, 0xb1a06284, 0x114b1844, 0x234020aa, 0x7b0b6991, 0x775c005c,
+    0x9b8ac313, 0x9801c877, 0x4a445db2, 0x22ee74d5, 0x70adfc5a, 0xda6357ae, 0x383b09b2, 0x39225fd3,
+    0xd5d3ad2a, 0xf69bbb9b, 0x3dca03a8, 0x30bc8746, 0x2c81c1df, 0xb805719c, 0x948e670e, 0x0728c26c,
+    0xed7ba7d3, 0x6b3f89ce, 0xfe0b4880, 0x7d8f2983, 0xb7576a8b, 0x77efd5d8, 0x22f7bee7, 0x2281cb60,
+    0x5a5b21aa, 0x1066f59f, 0x0e51c475, 0xdfd00759, 0x49474c0a, 0xbc4cb8bc, 0xb9fc40e4, 0xafaab31b,
+    0x192096a0, 0xba25662a, 0xc3bc8c18, 0xaa0c59e0, 0x6ad52c87, 0x963e1d28, 0x7fdb9640, 0xee3dc8be,
+    0x04ce0202, 0x3a00b2f0, 0x3ae8c1bb, 0x17ad1ecb, 0x5ffe128b, 0xa1c8700d, 0x8dc5806e, 0x8a052d97,
+    0x8d821bac, 0x1b008b48, 0x750a1615, 0xf69cb9f7, 0x51fbd32b, 0x250ade54, 0x71bafb2e, 0x957c6987,
+    0x3f01265c, 0xdc32e0b1, 0x8d3c1194, 0xff9c39c2, 0x89623416, 0x74815ce5, 0xf3b92f4f, 0x3e329def,
+    0x6f64ebc4, 0x1f9e04b1, 0x93b1fa17, 0x79ab7ddf, 0x233342e2, 0xda8b9542, 0x44d4a9de, 0x598a619c,
+    0x7c4fa700, 0x498ed41f, 0x781d7ee6, 0x184ec1f1, 0x25c6c548, 0xb2ccaa83, 0x72995e2e, 0x3e1442f7,
+    0x7aec1e2a, 0x414a142e, 0xdc283f5f, 0x7f8c69cb, 0xf715a16a, 0x55d2d76a, 0xdfcc6be3, 0xb13b5839,
+    0x1234631f, 0xb5aacd60, 0xaf1fa212, 0x6cdcc0bb, 0xb50eecde, 0xb65a3cab, 0xb606edf9, 0xa70bb5d4,
+    0x4be7265d, 0x1285d239, 0xc41e401e, 0xbda041de, 0x643aef9e, 0x871a2a71, 0x1506cec6, 0xc5e47b25,
+    0xc0d9b318, 0x3a91eac9, 0x9e1c4f53, 0x63c41251, 0x24db308d, 0x1d3fc635, 0xb3648b1b, 0xc531c7ed,
+    0x8bdb7c4e, 0xe221b50f, 0x766fefc7, 0xdf3e5b51, 0x2eda0efd, 0x2dc61550, 0xadaae690, 0xac766fad,
+    0x22dd0e10, 0x8d90de98, 0xae93072e, 0xbe9eb51e, 0xb5075171, 0x5cc87519, 0x50c58eb4, 0x7a5a17b6,
+    0x5f239a60, 0xe84d6e44, 0xed8d5430, 0x3f53d5d6, 0xfb48d400, 0xc87b2260, 0xc8854b39, 0xa38698a0,
+    0x976c5864, 0xa442e445, 0x4475ae85, 0xf22f86e9, 0xde07db19, 0xa1cee30a, 0xb0c4102d, 0x2ac47305,
+    0xb16b9d8d, 0x829006ec, 0x6e7a47d7, 0x267a8b34, 0x9c45d76f, 0xcd8b1b98, 0x20bee87a, 0x6a3a5f34,
+    0x97f83a4a, 0x5c3f65a9, 0x16070bec, 0xc5bf8c5f, 0x1db72b29, 0x43d01e35, 0x38e3b4c3, 0x2c4ef188,
+    0x079c3ec4, 0x792448bf, 0x45e6dece, 0x5c5c3579, 0x75be3f1c, 0x7e2e9a94, 0x1b581172, 0x68cce7cf,
+    0xd3ad5eee, 0x7d37235a, 0x19f1a9e9, 0x5bc18544, 0x4dfad6a9, 0x0b91a92f, 0x75f4655d, 0xeea4e5e9,
+    0x15c26a2d, 0xa07e7b5b, 0x90e49fe5, 0x16712415, 0x7878312f, 0xa1547cb2, 0xc1861344, 0x996e5691,
+    0xc5322130, 0x6acd0b98, 0x1b9fc411, 0xdc77a7d2, 0x276e3ffe, 0xebd5d333, 0x186653ea, 0x0bb196c6,
+    0xd05950ee, 0x5ec2da59, 0x910a7adf, 0xe4d32142, 0x883581b6, 0x4b08894e, 0x7e6deff2, 0x4482165d,
+    0x3489c996, 0x46bada13, 0x20e844f7, 0xe09dc6c9, 0x2d7c9928, 0xff8d51d9, 0xf1ed3e53, 0x96e7a1f9,
+    0x05b3a88d, 0xe67b01dc, 0xf92011c6, 0x8158bac7, 0x6ab5cc3c, 0xdc39b974, 0x7b2deeac, 0x763b2e76,
+    0x40a2b73e, 0x2340b343, 0xe0e69c20, 0x214dcc23, 0xd517817d, 0x0dddc527, 0xe94939d8, 0x38a5d7f6,
+    0x467220ff, 0x8430f7f6, 0x3620a92e, 0x0b379818, 0x3bae88d1, 0x3df49cd8, 0x557030e9, 0x21cb3ac5,
+    0xc782b7a5, 0x3615c17b, 0xd83f88a7, 0xa6301657, 0x6aaef621, 0x6a6be08b, 0xaf135b71, 0x3c7b42bf,
+    0xc6124bc1, 0x3809af56, 0xef25e66d, 0x26650473, 0x48724e01, 0x22aeb97b, 0x32eba6f1, 0xd939522c,
+    0xcb512bbb, 0xd3415d6a, 0xb3d336ea, 0x80cdd12b, 0xb76673c0, 0x42644985, 0x762c280c, 0x8fd7824c,
+    0xbca5e206, 0x33b148f6, 0xe8a1aecf, 0x116b59fa, 0xa99ba659, 0xdbe6c6f1, 0x86ea4774, 0x8518073f,
+    0xbe84b3e1, 0x6764c830, 0xd78a3448, 0xeaa45c0d, 0xb44dd7ee, 0x66252e21, 0x83d66931, 0x29fec4c7,
+    0x8245f40b, 0x20fd8ce2, 0x4485d66b, 0x1f283109, 0x27824a26, 0xeb88ce0b, 0x1da7e23b, 0x01d478a7,
+    0x5f0970d6, 0x88b415a4, 0x2ea94370, 0x9d5e05da, 0x161729d2, 0x516ee609, 0x76188db7, 0xef861a05,
+    0x725af029, 0xc8e2eae5, 0x91f85ba0, 0xe8aec6e9, 0x937fed61, 0xdbbb542d, 0x135c5f5f, 0xe7bc677f,
+    0x27730e7d, 0x7208d518, 0x2a555738, 0x5cb3a217, 0x07f717d5, 0xcb7c7315, 0x9a31960c, 0x07f3ad91,
+    0x59af5c03, 0x8b8293c2, 0xa25918a4, 0x98de6126, 0x52286561, 0x5bf5757d, 0x4bc395c0, 0xf80f79a2,
+    0x2f971349, 0x7c755934, 0x24d985c7, 0x3cfcf460, 0x695cc3c7, 0xc6b29758, 0x59c438dc, 0x0deebe20,
+    0x42d04fa2, 0x98cebabb, 0x1001add9, 0x2122f33e, 0xe704962c, 0x63c03cde, 0x062e34f9, 0xb78347a8,
+    0x00000000,
+    0xd8eb42f4, 0x8f892faa, 0xa77547ce, 0x419943f7, 0x20b9e167, 0xa46dab20, 0x8deceb53, 0x365b157f,
+    0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000024626253872746549507674400062589758628\
+                         17483704404090416746768337765357610718575663213391640930307227550414249394176 */
+  { 0x00000000,
+    0xc22df657, 0x9606f777, 0x98e70047, 0xd38df007, 0xb0981722, 0x6ccebe21, 0x871bf1ff, 0x8a2a07d1,
+    0x527a10a3, 0x116e3ca3, 0x5937a8ef, 0xc98c1618, 0x4bfba2c0, 0x1ddf4ded, 0xfa956e66, 0xae4ffb58,
+    0x8b0fadb4, 0x493a10a7, 0xf70ecf4c, 0xcb62e8f8, 0x200f842c, 0xec47c409, 0xeca0197f, 0x37023717,
+    0xe1e9d190, 0x534f3c1a, 0xb8961315, 0x50b9bd3d, 0x9cf76f81, 0x4cdc3211, 0x4733e4a9, 0x087f9466,
+    0x064d6b7c, 0xba5c2175, 0xa5d80048, 0x1c21e2ce, 0x1d1c9764, 0x263a85a9, 0xdb2a14ad, 0x92ac7678,
+    0xb4cbe96b, 0xdedf9640, 0x1341b8b0, 0x856215b3, 0x6900f4d4, 0xea778514, 0xe0824f5b, 0x2aac6da7,
+    0xf7655ff8, 0x43f57f10, 0x7d35aa25, 0x36225381, 0xa131c0f5, 0x1331b816, 0x4cad17c5, 0x0339f441,
+    0xf8da3500, 0xf3e3cde9, 0xdba57693, 0xc049b4ab, 0x46fce97d, 0x5d8695eb, 0xdccd33b7, 0xd96c23d2,
+    0x52e697e2, 0x14862423, 0xecf17990, 0x6b9b1fd8, 0x3340330b, 0x0aa5577c, 0xa8ba6da4, 0x17bd0372,
+    0x4f6ee55c, 0x70bcbe8d, 0xce4768e3, 0xd21e7ce7, 0x6a5fb745, 0x12aa20f1, 0x31d8054c, 0x95535ef7,
+    0x9d0fdb59, 0xc59eb5e3, 0xab6d6c8b, 0x1da11c5b, 0xa71a1659, 0x7950f40c, 0x8f399743, 0x7590b47d,
+    0xa48aaf1c, 0x20e4649b, 0xbc2dfca8, 0xd5ffd144, 0xf988f064, 0xbc6a05bf, 0xafa9668a, 0xbbf66582,
+    0x2a76008f, 0x387b89e0, 0x3a88d7cd, 0xcd349703, 0xb021e4ea, 0x8bee055a, 0xbaf7c61b, 0x2755163f,
+    0xd5f7c6db, 0xcb2a1660, 0x27319ecb, 0xe7c07577, 0xbd496c3c, 0xfd240a9f, 0x448fa0a5, 0x582972c3,
+    0xd44d041e, 0x7e7c6e7e, 0x712122bc, 0x6dd77580, 0x4acb476a, 0xdf3016f5, 0x11e72677, 0xcd1cdbcf,
+    0xa3786521, 0x459822d1, 0x10694b6b, 0xf0bd9d94, 0xbc0b56f2, 0x232390a8, 0x9f9a62c1, 0xc537d933,
+    0xdb4dd650, 0x17787859, 0x3f7557d8, 0xca2ac0cd, 0xee3179e9, 0x62c54055, 0x4294dea2, 0x3c12905a,
+    0xd474f567, 0xec7511a6, 0x270834d9, 0xbe24e06b, 0xb5fe0fe5, 0xfaec06ff, 0x4ad51d84, 0xaca6507e,
+    0xbab42703, 0xe2672f19, 0xd368fd2d, 0xa95740fd, 0xf584d20d, 0xf92e34ad, 0xaa3f142f, 0xef57fd0b,
+    0x45381e3c, 0xc424c016, 0x3e445e9d, 0xc5043102, 0xba4fd978, 0xd9e08192, 0x2d7ad6e3, 0xf5534aa2,
+    0x415afb89, 0xdabcc85b, 0xab67e8df, 0x23649a81, 0xb1f3f385, 0x785920a4, 0x91b4b5d8, 0xfbdfd7db,
+    0xc0f21962, 0x0c927b1d, 0x97f2c67b, 0xc2f5d872, 0xe2e060fe, 0xd705fb8e, 0x30c25499, 0x3466d2b2,
+    0xa2fd8618, 0x8a5bd814, 0x1c79cedb, 0x53a9ea89, 0x7f4294bc, 0x99c51d34, 0xd22c4982, 0xea31978c,
+    0xb4d30b68, 0x387e985a, 0x8680547d, 0x736cd24e, 0xabd35e83, 0x9abb08d7, 0x3148e67f, 0xd14c3b2c,
+    0x139fd9bb, 0xf514148b, 0x1f14c91c, 0x4e433226, 0x412cf8d8, 0x995aeff6, 0xc26ab772, 0x983a2ce8,
+    0xa7123769, 0x1322724f, 0xe402a5f1, 0x212c74cf, 0x4f0ee7f0, 0xc6574cc2, 0xeee49762, 0x28bf5114,
+    0x1743e016, 0x4890fc88, 0xaf99cd85, 0xd8d5482f, 0xf689cdff, 0x99ca98b1, 0x3f155d5a, 0x73cac715,
+    0x055b637a, 0xca471202, 0x4b547b13, 0x15b2e29f, 0x9630026c, 0xb28c797a, 0x0625ec5e, 0x2b34e200,
+    0x249fde21, 0x96a1d790, 0x99b6df66, 0xb63f0392, 0x4fec8bec, 0xa04acace, 0x8da5eb6d, 0x9ac130d1,
+    0xcd37270b, 0x8768de60, 0xfde33826, 0xa10282a5, 0xcf24a38f, 0x32b2a537, 0xb3ed4cc5, 0x71edefa3,
+    0x0a978976, 0xa3dcd6bd, 0x0572e46c, 0x686e8275, 0x8ca220a2, 0x765b89c9, 0xf08b00d7, 0x7a1b1892,
+    0xcd279113, 0xf5678213, 0xa05f9d58, 0xb9888f1d, 0xaaf93b98, 0xe0b926c6, 0xb564f486, 0x5458b021,
+    0xc07da495, 0x8812c9f6, 0x36c6366c, 0xe22d91ad, 0x7fbbc506, 0x3a999a2c, 0x8fc1a1c1, 0x97d8493d,
+    0x825964f7, 0xeaf092d6, 0x60117af2, 0x13a49b62, 0xdeda37d4, 0xe80c66fb, 0xdf4056ea, 0xb472a168,
+    0x97d35a98, 0xcd121fb3, 0xc399f7d0, 0xc24ea944, 0x5ff24870, 0x3feeb4a8, 0x61714607, 0xe6526a92,
+    0xd8edb4c4, 0xa4ac3e79, 0xcdee1fa2, 0xee7f3ac7, 0x08859f69, 0x02dc5255, 0x9b29685a, 0x14af3579,
+    0x9a173e92, 0xf7790f29, 0x236938fe, 0x24622abd, 0x987de5f4, 0x52ee714a, 0x7ef3e116, 0x6ae8251d,
+    0xedc643c3, 0x3fde534d, 0x1b3bb99e, 0x79a17616, 0x87bacad7, 0x5c8e21f4, 0x0d5e77b2, 0x29cc8d6c,
+    0xf162d0af, 0xe9423944, 0x4bd3ee41, 0x39f6b940, 0xbddba569, 0x0dd135da, 0xbff1dceb, 0xb7c61a9b,
+    0xe4a4e4aa, 0x7b62473c, 0x8828eca9, 0x76eeca4e, 0xe2045fa7, 0x6d80083d, 0x94b3dd73, 0xa28d9aed,
+    0x707083d4, 0x9b713ad3, 0x2f2a3ad7, 0x4f274393, 0xdb0f8ed6, 0xf99b1895, 0x6e151d7a, 0x73545d11,
+    0x5de3421a, 0x96b1e249, 0x57d82f18, 0x229eeedb, 0xe4a8e2cc, 0x09f4170b, 0xdbf41f3c, 0x79d8ec5a,
+    0xa06626b0, 0x7d350e41, 0x7beab150, 0x924bbbc2, 0x0f734545, 0x2c0d6ef8, 0x651cd79e, 0x3f757ed9,
+    0x31b8a246, 0xad9f1cc4, 0x4ca00dab, 0x08bd3b52, 0x9a224a35, 0xec6bfef8, 0xe5eee4c6, 0xad4e2ba4,
+    0x0d322ef2, 0xb2f367dd, 0x63679c06, 0x175373af, 0xa58bc4e0, 0xea4a8d2b, 0x0ee6dcc8, 0x241876ba,
+    0x8b1a5673, 0xcfe755a1, 0x9d7e9d44, 0x4c2e8e30, 0x59718687, 0x6684c9f8, 0x087b8cc9, 0xce49674b,
+    0x28e999cd, 0xa0da5dae, 0xf6f7562c, 0x67955b5d, 0x77f56ab7, 0xb4994ca1, 0x5f0c9bd5, 0x14f9bf3a,
+    0x9e34fdfb, 0xb4de2300, 0x6bd2cb68, 0xd2ddf9e5, 0xc7e9f162, 0x5fce3146, 0xaadea6f5, 0xfe54c8d7,
+    0x26215c14, 0xcca4e6b3, 0x76b88e6f, 0xe62e47ea, 0x67558f67, 0x61c87e45, 0x14fecd5b, 0x31e86c12,
+    0x6e1a6a51, 0x45b12486, 0xdb20a040, 0xca95af44, 0x655243fc, 0xd5dc940a, 0xc666eab7, 0x9ff34744,
+    0x5d1381bc, 0x1cad96d0, 0xaedc231d, 0xe7cb43a8, 0xe365a3f4, 0x0998c908, 0x27af5257, 0x030c747b,
+    0x2385c50f, 0xdcae1d72, 0x67a338b9, 0x7411a68d, 0x84013797, 0x8deee7e8, 0x910b8598, 0x7de5a3d7,
+    0xd3cf279f, 0xc88e8998, 0x315264db, 0x72ad7490, 0xa70086e5, 0xcde33330, 0x03aaeab8, 0x95298b7a,
+    0x8868b9c2, 0xbf57746e, 0xfcf0f752, 0x0a164376, 0xb5844143, 0x700487d2, 0xf4c05451, 0x31ca9a30,
+    0x1294893c, 0xfdbb7937, 0x58791bd6, 0x65f1cd78, 0x61875c91, 0xf662defd, 0x1b04f279, 0xc125f3f3,
+    0x39c2fd39, 0x2cc6e394, 0xd146ad95, 0xae2560fa, 0x9790f988, 0x31ddd5b4, 0x4b81e40b, 0x62ca28f5,
+    0x14a56bad, 0x3370d164, 0xd6681ebf, 0x63a21191, 0x5597cbdb, 0x0263977b, 0x8f1935a9, 0x0e33a5ca,
+    0xdd1699f3, 0x0aa18f2f, 0x4e069c67, 0x551f8a96, 0xdf56cf0b, 0xfabb954e, 0x2b681e48, 0x217b4e07,
+    0x44527b21, 0xb1c64d90, 0x5254f2fc, 0xea5fd914, 0xab081034, 0xb7cd659c, 0x594b4090, 0xd25eccb6,
+    0x39c5d08c, 0xc8a41c72, 0x934434c6, 0x25638f70, 0x9223fd5d, 0xb607069e, 0x61e32c22, 0x18bed394,
+    0x08ce87d7, 0x518d4c2a, 0x7cb8a0d5, 0xa49fc279, 0x61d1eb23, 0x2a905930, 0x29320184, 0xb99a6768,
+    0x77e55d45, 0x7f402c99, 0x3c354c01, 0x1ab8c5e8, 0x88f6706e, 0x60fd960e, 0xa71e20c3, 0xbe2e8474,
+    0xdfc3859c, 0x6516d598, 0xddaa4bbc, 0x515ee080, 0xd3319da1, 0x0ffcbc36, 0xe75ac8bb, 0x88db15c7,
+    0x2c611d65, 0x39e90d21, 0xa4d9be63, 0xb2639561, 0x1c23893f, 0x0ee4b8b1, 0xfe2e90e6, 0x6db3f1b8,
+    0x04d3be22, 0xe3326dda, 0x3c99aa9e, 0xe8370569, 0xd3f0f28c, 0x25532961, 0x5e946134, 0xe24a53bb,
+    0xf9bf7c1e, 0xa2ddff1f, 0xd51e3a77, 0xf304cd5d, 0xb3eb86cf, 0xdefde3b2, 0x16460444, 0xea9e3563,
+    0xd835eb50, 0x3988eed8, 0x6f90d3ea, 0x504e4e53, 0x4dde90c5, 0x0e7c06b0, 0x636b69de, 0x309f01db,
+    0x1849865b, 0x85ea6f94, 0xcd14d655, 0x47284b0a, 0x15792dcf, 0xdecab5ce, 0xf19dbdee, 0xd5965235,
+    0x5ae3e573, 0xb681e4ed, 0x860b27e4, 0x28073363, 0x292586a2, 0x39273898, 0x68ef6a71, 0x36b37da8,
+    0x920b5a40, 0xf4187501, 0x3b43fc9b, 0x389f821c, 0xa8fb98d6, 0xa16c4d73, 0x0d43093b, 0x2ab6ed57,
+    0x42fb18c7, 0xad38b608, 0xcc4b9e69, 0xfa6075c5, 0xa910a492, 0x9c57535c, 0xe6462a38, 0x7b57bce0,
+    0x92178de1, 0x587153a9, 0x9a972acd, 0x8449b670, 0x22414fff, 0x70674ded, 0x86858a15, 0x4d321f13,
+    0xc0ad7f2c, 0x2067e33b, 0xf5a74c2e, 0x133beed7, 0x4148dbfb, 0x2a51d08d, 0x21ae7f85, 0x8b276961,
+    0xf3cc81cc, 0x9a4ed1b4, 0x4db89b46, 0x010a796c, 0xb479d951, 0xe4ca61d4, 0x2c9ae33a, 0x17b9389d,
+    0xaf1ecc1f, 0x7e82d737, 0xed26bef2, 0x43893e23, 0x44738337, 0x812bdf91, 0x3aa185ba, 0xe2acfc39,
+    0xd2a7a5ea, 0xa0c8ef28, 0x4d5d76c2, 0xa61f0cd0, 0xeb45eb6c, 0x8d523e61, 0x456160b0, 0xa9500a9d,
+    0x4510902d, 0x40cac23d, 0x76776bb4, 0xb08ccd26, 0x173f645f, 0x709f87e3, 0x370074a4, 0xcb4bfc58,
+    0x0a197427, 0x4f2a3f7a, 0x64cc1b93, 0x1a9489af, 0x3d014293, 0x22700231, 0x4256a2af, 0x3ead90d9,
+    0x5eb460d1, 0xa02a8afa, 0x289c8348, 0xcea268b0, 0xa50e9f6b, 0x24709069, 0xa77ae558, 0x6ed79df7,
+    0x9fb8a18a, 0xce5cd4c3, 0x05b75426, 0xbe7aebc3, 0xf429ff2a, 0x78c2c767, 0x80b3940d, 0x36f90ad2,
+    0x0a742a6e, 0x33e51b2c, 0x2bc93bbc, 0x0e68886c, 0x0cf718a9, 0xeecf49a3, 0x3b0085cc, 0x93ec7f4f,
+    0x67f6b71a, 0xaafdbfcb, 0x754aab5a, 0x97498797, 0x7c3cf2f0, 0x5a49ebd2, 0x6db0db7f, 0xb75a3021,
+    0x4430d6a9, 0xb40128b0, 0x16faa458, 0x6e1723dc, 0x94d63735, 0xf6f85a15, 0x6fb6cb04, 0x623e9842,
+    0x297b5fba, 0x0ccc73f7, 0x96a7b481, 0x579b7627, 0x3506e77f, 0x6885ec3b, 0x9c4ef29d, 0xf2963ad5,
+    0xe29072ff, 0x76de9d00, 0x11ab3253, 0xac37652e, 0x3bd5b8fb, 0xd7a6b6a5, 0x2cfc650d, 0x206aa013,
+    0x0943984b, 0x59203222, 0x41f52f6c, 0x2abbd842, 0x16ae7d4a, 0xf6d8949d, 0x17219f32, 0xe975f0ca,
+    0x7359792e, 0xa5e8fd15, 0x372dd709, 0xb46bfba9, 0x563205ae, 0x1e94318a, 0x0e529f7b, 0xcb346a65,
+    0xa3684f02, 0x3e57b6df, 0xb09adfb0, 0x9807be96, 0x21c10a7b, 0xc4e5da69, 0x5ab2fe66, 0xe4832010,
+    0x5e3eac50, 0xcad84194, 0xd5b3a6a6, 0x6cc97c7f, 0x741d9e86, 0x2f8583b6, 0x4054ac7c, 0xd2333454,
+    0x9c288fa1, 0x3eda94ea, 0xeb48d000, 0x406abebd, 0xece116f9, 0x27ce61a9, 0x1986b8d0, 0x137bfa9f,
+    0xa4461517, 0xd74dc2c1, 0x469b1955, 0x85d2daac, 0xdac85cb5, 0xaa3acf0e, 0xb4e616a0, 0x86508bb8,
+    0x9d2d1361, 0x51001ba5, 0xaf89242e, 0x4eb85157, 0x30cd2350, 0xec9482c8, 0xd2175e1b, 0xa94f6bef,
+    0x2d9e94fb, 0x0102e089, 0x1eef9934, 0xff1c8d50, 0xa5ae9530, 0x253bebec, 0x75538557, 0xfe47e170,
+    0x4997a9a8, 0x3a31aa48, 0x49380973, 0xeb88dae3, 0x4847bcd8, 0xb4accd43, 0x9cb410da, 0x9c29f924,
+    0x55c262cb, 0xc77c8cc8, 0x30a68d52, 0x892d532a, 0xa23d979b, 0x0e4df004, 0xc2261f71, 0x9fa086a1,
+    0xe61c1f9d, 0x21b9538c, 0xd4a44000, 0xc570dd53, 0xb4fa3af7, 0x15d161e4, 0x74315af0, 0xbe3136c9,
+    0x742fad00, 0xb6a5d8fc, 0x800eb4fd, 0x102f4ecb, 0xfa6e5312, 0xcaf5f002, 0x9d7d2227, 0xa5a05245,
+    0x3f859705, 0x8333e703, 0x1f378596, 0x0af496b8, 0xbe5c78d5, 0x5fdfb22c, 0x3fdb7117, 0x713df399,
+    0x6c7f22e9, 0x9a74f93c, 0xee26671a, 0x118c3e66, 0x2331ebb0, 0x49ead4e5, 0xb95a9bd3, 0x6ea72cf4,
+    0x3938ab1f, 0x673879aa, 0x329af32b, 0x5432c776, 0xfb28c01a, 0x7badd79f, 0xfb677bf6, 0x12206b65,
+    0xb4f73669, 0xdc8b3e25, 0x1deeb87d, 0xc75970ad, 0x159c8e44, 0xb4307bc7, 0x11cc7861, 0x41b99bf4,
+    0x43bb4648, 0xed7b4764, 0x3c53a893, 0xaa8e7a4a, 0x4c877c5d, 0xc031245d, 0x664d65d9, 0x4b4b0d22,
+    0x3cac5267, 0x043c2714, 0xb38f807e, 0x7f864472, 0x32200927, 0xe1c7d627, 0xd7471503, 0x7085ac7a,
+    0xc0daf3e6, 0x899feacf, 0xd51621d9, 0x98b4b91e, 0xdaeab8a6, 0xb8d84f99, 0x6d918095, 0x78dbd860,
+    0x11cfde75, 0xa1fb1fff, 0x774f2df6, 0xc9f36329, 0x50d2bdf8, 0xe37e8166, 0xb71b1aee, 0x4090da25,
+    0x4986f2be, 0x27bcbc5e, 0x4935b0ea, 0x082cd0e0, 0x064af607, 0x458d2971, 0x8acaca85, 0x0ec8838d,
+    0x6b1d6826, 0x5d79f38e, 0xf8cebc4c, 0xe6b0539c, 0x53baa9f4, 0x7c61d1e9, 0xfd443788, 0xb782c136,
+    0x8b7b07c6, 0x6d28c53c, 0x3b5622d7, 0xf1f30766, 0x67912825, 0x0a3fc30c, 0x6112ef44, 0x8d9ad185,
+    0x818a2d5a, 0xb9675824, 0x6e60dbef, 0xa063d914, 0xd3887599, 0x2b4691c3, 0x2a6fea3d, 0xe882ffe4,
+    0xb02fcf1b, 0x58bb40da, 0x33a51452, 0x01fb5a07, 0xbc451d2c, 0x2d054222, 0xee21fa40, 0xed4f834e,
+    0xd20ed74a, 0x000c9e71, 0x5aa54bf4, 0x3b690fbd, 0x89def6ab, 0x192429e0, 0xebe8b638, 0x795476f6,
+    0x35f79bff, 0xe6adba47, 0x307e437e, 0x2a9fe574, 0x28f44d0d, 0x67d6cb64, 0x5e02a08f, 0x2ee86ce7,
+    0xf429703e, 0xf3bb74c0, 0xc1997059, 0x394d8868, 0x8479106d, 0x05794d59, 0xa7fc8c03, 0x432929d1,
+    0xdccffb7f, 0x67b19fb2, 0x88680a00, 0x272387e1, 0xdf701b78, 0xc0bfae45, 0x4ca5a7f2, 0x29a0318c,
+    0xeee41883, 0x8a9b9482, 0x4abcc830, 0x45c321fc, 0xbe6c12d4, 0x559a39cc, 0x7f574466, 0x687bdf64,
+    0x25c37690, 0xc69f928c, 0x40f1c714, 0x0a94691e, 0xfd360e79, 0x94e98e60, 0xee15c913, 0x6d20ed73,
+    0xc122debf, 0xfc4b497b, 0xcc1b7b45, 0x442a776a, 0x8ed52ee1, 0xa5735b1a, 0xc2fec5ce, 0xe8efa24f,
+    0x83ea5c13, 0xae67232f, 0xe4fe0cd9, 0xa8dbcba0, 0x8f4b7d45, 0x4f313997, 0x7157bed1, 0xae893236,
+    0xcb8bdd49, 0x54407850, 0xaf55adaa, 0x4710b9b7, 0x16b61626, 0x615e7973, 0x8c2b7f08, 0x3e64d6c8,
+    0xdab0c088, 0xf846158e, 0x4a2df854, 0x65424e34, 0x34ecab01, 0x2b3a7d1e, 0x743f7282, 0xbc884906,
+    0x03b6df3c, 0xdbfb86d8, 0x6c50952a, 0x0aac27c0, 0x479d751e, 0x3f89cf32, 0xee0433db, 0x2a3f14ed,
+    0x19c4f297, 0xf28d4694, 0x192f4eb4, 0xc2abc197, 0x539790fa, 0x32d5ef0c, 0x86ae2f4f, 0x3daf4551,
+    0xdbbfb4f5, 0x86750d4c, 0x47b7bca1, 0xf3cb7cf8, 0xc5579a1c, 0xa965f93d, 0xe48b9ad3, 0x50b0b2ba,
+    0x21211db7, 0x7d6feb9c, 0x757673a2, 0x91f38997, 0x190660bf, 0x587fa85b, 0x123f0196, 0x32111514,
+    0x545d1d36, 0x0bbbb64a, 0xf36253ce, 0xe4ce202b, 0x0ff9c616, 0x9108cc2e, 0xbdb0f219, 0x5e71faea,
+    0x0c02f54c, 0x81cac78d, 0xf0ab2860, 0x55a41918, 0x7ba6a3f4, 0x592aed8f, 0x119b217c, 0xd8bf3e19,
+    0x00000000,
+    0x6c75a179, 0x47c497d5, 0xd3baa3e7, 0xa0cca1fb, 0x105cf0b3, 0xd236d590, 0xc6f675a9, 0x9b2d8abf,
+    0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000012313126936373274753837200031294879314\
+                         08741852202045208373384168882678805359287831606695820465153613775207124697088 */
+  { 0x00000000,
+    0x60feebc8, 0x033130a0, 0xb79e42fd, 0xadd4f7ed, 0x17ee7429, 0xd4775c76, 0xeef877bf, 0x221295f3,
+    0x8888cbc4, 0x94bab360, 0x224b8cdb, 0xaf160fea, 0x6ab6ac5c, 0x4bc396dc, 0x78928839, 0xf5faacc6,
+    0x61664c83, 0xa7a5ed7d, 0xca16d454, 0x0280fff9, 0x958c0750, 0x261c41c2, 0x54b6d904, 0xe7622da5,
+    0x460a6d7d, 0x667ad240, 0xc2254a5d, 0xa39141a1, 0xd2aa8e95, 0xf1581f70, 0x26b766fd, 0x1ce6414d,
+    0x8dd63762, 0x9483a59b, 0x07343406, 0x11a1e089, 0x2213406f, 0xdaf3b11b, 0x045de42c, 0xce394fbe,
+    0xa8faa0b5, 0x5ee75b88, 0x4bbb2906, 0x0b841bd5, 0x58dcda60, 0xe85f270f, 0x9a4e9241, 0x2172f276,
+    0x4772c0ed, 0xc0ce7e71, 0x185928a6, 0xa825d5a8, 0x71d6d1dd, 0x0f7e8c0e, 0xa13c3745, 0xff90d467,
+    0x8f3cb245, 0x9aad6b0d, 0xb3087f70, 0x1daa18ec, 0x063c0008, 0x13085b71, 0x175fbb35, 0x1f0b762b,
+    0xc7f90b03, 0x3a0785b6, 0x432fce8c, 0xa2f29a61, 0x880988f9, 0xf8b9f883, 0x28ae4563, 0x64951915,
+    0x7f826708, 0xff173c6b, 0xf578b578, 0xa7431f9f, 0x1b155b88, 0x61452fb6, 0x443373f8, 0x58ec632a,
+    0xf34cfcfb, 0xa1e83623, 0x0f8f2c07, 0x27f59d0f, 0x77b50199, 0x2cd25323, 0x4e04bedf, 0x707f87aa,
+    0x596b708a, 0xa42c4bde, 0xe2cb0a81, 0x6180adbe, 0x6a7a4f26, 0xe11ae781, 0xbb33e99f, 0xce6ac6b9,
+    0x7d5b1654, 0x29ebfb56, 0x18f8d010, 0x63941ee8, 0xae88d31b, 0x225acd25, 0xb67f35fd, 0xd9e7295e,
+    0x51afb88b, 0xf002d7c8, 0xccf416dd, 0x6ef40e5c, 0x4d9792e4, 0x162626f5, 0x977a284b, 0x8ae9c55a,
+    0xe44b9746, 0x44e00fa4, 0x03b8b8f6, 0xa059cda1, 0x78eca409, 0x4be50bbf, 0x03172fa5, 0xd5dde52c,
+    0xc8eb469c, 0xc66d5ad8, 0x90ce7832, 0x16fc9883, 0x22bdde9e, 0x85ea4b0e, 0x9c6e64af, 0x0969618b,
+    0xff68bcc8, 0x8b634f03, 0x6d8461e5, 0x51b98e37, 0x18e2448d, 0xb4a65a40, 0x90601041, 0x1e3c2cf6,
+    0xa1d93d32, 0xc6e12cca, 0x2a7bb80d, 0x6e515ce2, 0x4f975184, 0x4a97739e, 0xf11eba91, 0xafe6198b,
+    0x439e1316, 0x0b113dac, 0x9f204969, 0x124bda95, 0x4aa4fec7, 0x09375c7b, 0x1f62dd3c, 0x3e0cc56f,
+    0x86272afd, 0x25ce7d22, 0xd7496954, 0x342224d3, 0xadb0ddda, 0x75985507, 0xb86f90dc, 0x1c5a1f8f,
+    0xf39bfcb7, 0x452267f4, 0x0a6c5e94, 0xc98740c6, 0x49c9e2df, 0x9dc7fa50, 0xfc63273b, 0x3c9df8d7,
+    0x66e5eced, 0x38d71ca5, 0xcc717151, 0x4832bb43, 0x16725193, 0x17632b87, 0x643d865b, 0x717261c4,
+    0xe87ba9b9, 0x89bfc969, 0x507357cb, 0xbc5a8b9b, 0xce7f95d9, 0x6dc33b57, 0x138f7e97, 0x53e176e0,
+    0xe1617d2c, 0xe60c8828, 0x7a2ed39b, 0x4f42683e, 0x884f4eb0, 0xd60849e6, 0x89e37fa1, 0x3f541553,
+    0x5f02f2c5, 0x2831851d, 0xe69cfe67, 0xdcbc6961, 0x5d08944f, 0xf577f6cc, 0x4b8d58ac, 0x99ce3dc2,
+    0x96109cec, 0xd9dbf49c, 0x43bc4f07, 0xb8097a92, 0xdf275a99, 0xcd53466e, 0x85ae108c, 0x46e71334,
+    0xab6d9348, 0xad752e07, 0x718ad376, 0x73d472a7, 0xf9215178, 0x87e0f187, 0xb84bc228, 0xe4d9a603,
+    0x4ecc4cf2, 0xa3dd8637, 0xa3119ad1, 0x5c808c0b, 0x4463ed4d, 0xf72b70e2, 0x42239ae2, 0x3f008315,
+    0x465f3494, 0x3cf39ad9, 0xf0b4cf9b, 0x77811fe9, 0x04466b1f, 0x44838b6e, 0xdf7e1d5d, 0x31663c99,
+    0x50c8db0c, 0x2b5984d2, 0x853ffd50, 0x8928fb21, 0x47570a97, 0x9cdee084, 0x5c82a35f, 0xaa381ee2,
+    0x76d664a9, 0x9e5d35b4, 0xe67ef210, 0xc83f51be, 0x5f22776b, 0x08b7e7fe, 0x5def1e1f, 0x8cfd55aa,
+    0xb3ec91bf, 0x38578a34, 0xe5c47b33, 0x8ef4940b, 0x2f64919f, 0x120c24e7, 0x31a1c0b7, 0xc0669867,
+    0x5fc94be5, 0x63b8e614, 0xe04fa042, 0x4faebfd5, 0xaaf1a914, 0x112354e9, 0x8b9abd90, 0x6b3183e4,
+    0xd2d652fc, 0xf8dfc5d7, 0x6df3eb1e, 0x8dd814f6, 0x2d0bd295, 0x7cca9a33, 0x2ef52739, 0x57c9e5fb,
+    0x75c5f09f, 0xff8168f5, 0x074b8bec, 0xaa290b16, 0xa40d59d4, 0xb9be7950, 0x0db04b3a, 0x743fe800,
+    0xdd6d804a, 0xd9b8221b, 0xd7275938, 0x414759f4, 0xa8827059, 0x11692587, 0x2646a428, 0xdd22bb8c,
+    0xc4442cd9, 0xfc3382b2, 0xb12fb9fd, 0x9b8fc7ca, 0xb67ae506, 0x17ed4846, 0xb8adb06e, 0x6e603bed,
+    0x0e506bd8, 0x2e6722d5, 0xdce2a9ba, 0x85771c59, 0xea35b6a0, 0xda0d558f, 0xeacda864, 0xa819f0cc,
+    0xc42cf3d9, 0x0ce6d7d3, 0xcf86ab33, 0x6b259724, 0x7db121df, 0xb3afeae8, 0xe3eb8d7a, 0xd063f938,
+    0xfda2f36e, 0x72118620, 0x500b4723, 0x65efef36, 0xad5e1ca1, 0xd99b1481, 0xb6f94b65, 0xd7ea6ec5,
+    0xe298c60a, 0x37156ea2, 0xa0fca3f0, 0x06e2a696, 0x6a586d84, 0xdf002030, 0x26018362, 0xffab8063,
+    0xcfee8b50, 0xa117a267, 0x896fe6f2, 0x071b0802, 0xdd8b75a7, 0xdc097401, 0xc1a1cecb, 0x7f74cd29,
+    0x39e35b2f, 0xfc930436, 0xd73a7142, 0x185115fb, 0xa80b84d2, 0xaa70334a, 0xca11a464, 0x1f8e8bd5,
+    0x7a9f5660, 0x5d3357d7, 0x498943ef, 0x15efba4e, 0x63dd020a, 0x94e0ff47, 0x72c80aec, 0xe95da1e5,
+    0xa738486a, 0x43b8ad94, 0x3b0a6e5a, 0x5ccd8709, 0xee97ba3d, 0x5667e1f0, 0x7fb0428e, 0x1ecd0bfb,
+    0x55e38bf4, 0x62e52fb1, 0x31a1c658, 0x34798c70, 0x9a2ad47b, 0x3df6d3da, 0x88c84a05, 0xfd687925,
+    0x733db2ed, 0x57917a47, 0x2c3074b6, 0x78fddf73, 0xbb0924a4, 0x2b69d489, 0xac8bc08f, 0x11acb7e5,
+    0xaef18a28, 0xf39eec18, 0x0c0e66bf, 0x0d603f56, 0x25dd4a3a, 0x63b2d8ee, 0x68e6d790, 0x16a3c672,
+    0xa77990dc, 0x7432d499, 0x0129b1aa, 0x4a0de436, 0x83ceb455, 0x448b1910, 0xa6f856f5, 0xa6aa6735,
+    0x0eab1763, 0x70328669, 0xd7648e6b, 0x1ee53caf, 0x8f35d644, 0x4c6d8a1d, 0x00694547, 0xe69f527b,
+    0xbf6de994, 0xb60af244, 0x161c8285, 0xdaa91829, 0x9c7b1322, 0xa3544b80, 0xb15e5f14, 0x7f77d942,
+    0xea5e4d80, 0x6bea977f, 0x46a1f011, 0xaa494db0, 0x6091c98d, 0xc2a93a0d, 0x0ef9b1c2, 0x987ba20a,
+    0xee851786, 0x5f4f0a0c, 0x7b522342, 0x704ae5a3, 0xdaafe275, 0x0d0d6fda, 0x2350e7a0, 0xd2e084de,
+    0xfa129b88, 0x528b471d, 0x1f87838c, 0x9a22c0e7, 0x1b52e561, 0xd8eccdf4, 0x03ac4aca, 0x9bc4e137,
+    0x68503cae, 0x4642982a, 0x26060107, 0xc7cf8592, 0xdc26b2a6, 0x307ae027, 0x4a9c33eb, 0xc360b201,
+    0xb04b3c0e, 0xa6b4d0a5, 0x763f3aac, 0xb92c1a65, 0x252503b3, 0x3a5af8dc, 0xfb02198c, 0xcc29f2c8,
+    0x819e9505, 0x47af248a, 0x4390808d, 0xb159a3af, 0xc622d4f7, 0x27888804, 0xa8da6875, 0xba10705d,
+    0xf570243c, 0xd3da2464, 0xad736816, 0xa5b50776, 0xe319ea08, 0xca68f8c1, 0x1b7ffe26, 0x52134b84,
+    0x03010867, 0x3d532baa, 0xf07ff9ac, 0x27c81a88, 0x802ac12d, 0x29fe47a6, 0x50f783b3, 0xd94099e0,
+    0xfe7a3f96, 0x36592472, 0xa2db4979, 0x5e759d5d, 0x2c41c683, 0xcadc5ee0, 0x9b8ddd83, 0x1205fced,
+    0x7bddf8e7, 0x99bf707c, 0x4f97c379, 0x8f606b0f, 0xf7a0bf42, 0xf4770cc4, 0xfc5efb19, 0x85be370d,
+    0x8afbf580, 0x04f68bd3, 0x2c7c59f2, 0x8aed3ad6, 0xf0c12467, 0x8fd96312, 0x0e4b4ccf, 0xb154d839,
+    0x563eccec, 0x311a0714, 0x3e333d6b, 0x48f236ed, 0x80337a74, 0x6c929956, 0xf082fca0, 0x79fab4fd,
+    0xe594b152, 0x45b2c759, 0x102ab881, 0xb4be5c7b, 0x1978a6f2, 0x11bbe96a, 0xc0187849, 0x7f6e036b,
+    0xbd2424c6, 0x2ade0984, 0x46c862f7, 0xf92a0dc6, 0x2d186930, 0x17de30ec, 0x8adbf322, 0xfbf57329,
+    0x180cb86b, 0x569bcf8f, 0x043e9adf, 0xcee1cd51, 0xaa468601, 0xb91af52f, 0x279e25ca, 0x5aad5bd9,
+    0x433a345d, 0x22fd9dc3, 0xb2c3e602, 0x03617a61, 0xacaf4ade, 0xf03631e7, 0x7ad9cc9b, 0xd696c2ac,
+    0x46431270, 0x38e11bb0, 0x955f7e83, 0xf0d6c3a0, 0xe35ec7fd, 0xb4eb6966, 0x9e793125, 0xbcca4ce1,
+    0x8bfb7890, 0xc67b1685, 0x214d994e, 0xcf3accfc, 0x73779219, 0x24bf6f1a, 0x1e05945d, 0x9a8c7aaa,
+    0xe134c44a, 0xa5213081, 0x4575e2ba, 0x6f365410, 0x746fca1b, 0x47cb7380, 0xf2c1576d, 0xc9506161,
+    0xa67c82a0, 0x64bf5318, 0xc86abc47, 0xe1ca8389, 0xc73de774, 0x32c3b098, 0x97b1417a, 0xc01453fa,
+    0xe3ddc0da, 0x578bc93a, 0x5ffaf606, 0x498413e9, 0x7f0878cc, 0x560ba981, 0x224d3cc1, 0x858cff4e,
+    0xdd53b59f, 0x5187a158, 0xf84812e3, 0xd3764547, 0xd5836674, 0x91933193, 0xcc018eb4, 0xa18720d7,
+    0x7b60de8d, 0x90c1d090, 0x5ebf207d, 0xc9a964b2, 0x4b355fbf, 0x6f283786, 0x7040b0cf, 0x04d6bd5a,
+    0xd8b6301f, 0xa5d59c9b, 0x7e22f9b5, 0xf64db150, 0xe432f566, 0xae6d6c6f, 0xf62b99d3, 0x21e1cd8a,
+    0x17472fe6, 0x3ef16875, 0xe310f74e, 0x310221c5, 0x1b4c3d9c, 0xe7b81720, 0xddc8190f, 0x8b9eef20,
+    0xd7cc7455, 0xbc9f3f6e, 0xceb824b8, 0x60558fb5, 0xf579f21f, 0xcd32d54c, 0x3afd90f2, 0x90022e5c,
+    0x91f8035e, 0x4e625560, 0x40cb39c0, 0x07ecf4ee, 0xaab44305, 0xc1e16be0, 0xa0483c7c, 0x8473360c,
+    0x082f38d8, 0x9d9b860f, 0xc6ee9bd4, 0x5fed810f, 0xd50faa2a, 0xe2c08909, 0x612620d7, 0xe1535330,
+    0xbbc5ce49, 0x40036488, 0x95d7769d, 0xd08fefa4, 0xc71520c0, 0xc6cb8c5a, 0x6af95742, 0xc67608da,
+    0x2865bf90, 0x42547f81, 0xa9bd402f, 0xcb3c513f, 0x1e941851, 0x54aeec82, 0x95762256, 0x5e26b01a,
+    0x4c88e414, 0x2b9a28cd, 0x1d23fca3, 0x72476b47, 0x55dbe03d, 0x924da358, 0x232a7bd7, 0x24ac8ec8,
+    0x2018d423, 0x6b16c281, 0x1db6c475, 0x00357177, 0x09cf1899, 0x6e234351, 0xf304711c, 0x9999c255,
+    0x4cf04f88, 0x6568c938, 0xa4d63e03, 0x7366a715, 0x93510b94, 0x1e5aec2c, 0x4720be0d, 0x812bc131,
+    0xb6a66416, 0x38e8c784, 0x92d5cfa5, 0x8c69170c, 0xa9d4c9dc, 0xfdeec33c, 0xd0af276e, 0xd19ba957,
+    0xd23227a0, 0xa8c12207, 0xdd7c8aab, 0x6ddf681c, 0x954c8a50, 0x1f43aa92, 0xeb7da7b6, 0x1f872177,
+    0x8c8746bc, 0xe673b27c, 0x7bafa611, 0xf0bfee8d, 0x83bde0ab, 0x7250d326, 0xdeccdecf, 0x612a59c9,
+    0x92c7ca7c, 0xe0d7b37c, 0x7d31108a, 0xece125e3, 0xea3e3867, 0xf6b0a8cd, 0xb07b0882, 0xc764390a,
+    0x18cb6f1f, 0x4b3371b4, 0xa3c49496, 0xbe129f43, 0xf9375bba, 0x1c9a969b, 0x56b9d88b, 0xddd41b33,
+    0x713c855d, 0x3fd24bd5, 0x57416546, 0xd4111ec5, 0xed1ed09e, 0xe9d302b4, 0xcfa2cd0e, 0x949e3c7d,
+    0x28667d7c, 0x2b04176f, 0x752cc85d, 0x6ed51ad2, 0x2ad54feb, 0x7fdb1535, 0xfe93e5e6, 0x28d7dbea,
+    0x444b0cdc, 0x076d85ce, 0xddaad30b, 0x4fbbae58, 0x82624b52, 0x39b58ddd, 0x536d41e0, 0x2cd15c3f,
+    0x29df2300, 0x00fc3eaa, 0xd72b9a9e, 0xcace7e29, 0xff89cc99, 0xaaef91d6, 0x294b6c6a, 0x45757f41,
+    0x6b097df6, 0xe07a374c, 0xf4c6ab23, 0x544fcd5f, 0x578e6ec4, 0xb8da9ada, 0xdb1cc52b, 0xaa61ebfe,
+    0x67c9840f, 0x9a05a893, 0xd1170e27, 0x0eba6908, 0xf4d93c1c, 0x978c27cb, 0x1837c6e3, 0x512e9d84,
+    0x4a52b459, 0x226303ea, 0x4b091bc9, 0x87c2eda1, 0x8b61adbd, 0xfd794dd1, 0xed3d0aec, 0x334ef1a0,
+    0xdfed0c2a, 0x39ce3fd3, 0x5d8156c7, 0xf508a86a, 0x725d0ebf, 0xc243b94a, 0x9505a0da, 0x927da309,
+    0x8c274a48, 0x0d12a3eb, 0xc74e122a, 0x8b6f5d7c, 0x81f5b122, 0x9356af02, 0x561d5f16, 0xc0a7ada9,
+    0xa3550124, 0x6d6509f5, 0x99c001a0, 0x082ff775, 0x16df4968, 0x44fd55ed, 0xea462bd4, 0x69127bea,
+    0x4fa3f2ac, 0x2074665a, 0xed11eac8, 0x5eb3e83f, 0x5da2c375, 0xf1f8cbb6, 0xaed66112, 0xe13b88a2,
+    0x18392ff9, 0xb7fb4a32, 0x808bf5e0, 0x930e2cf6, 0xf876ffab, 0x0fe90385, 0x6e6b270a, 0xd3518972,
+    0xd0663f63, 0x280b1a5b, 0x77e49a23, 0x6991c797, 0x377add66, 0x792081e1, 0x8a5abfa7, 0xae52425b,
+    0x1020ac2c, 0x1480e58d, 0x8f4b4f1f, 0x38d45224, 0x8d408b30, 0xcb939406, 0x1a060140, 0x55801dee,
+    0x6ae2a604, 0xf825dfb5, 0x4c2e2391, 0x6c5eef47, 0x7d4acebb, 0x66496dde, 0x8a28f749, 0x503192c9,
+    0x7af8b55a, 0x33894a8b, 0xb561dce1, 0xc7e4f0f9, 0xbb57a4c7, 0x0a8b11bc, 0x1d36ae2c, 0x71117aa7,
+    0x9d6e1790, 0x1c3bd8dc, 0x9f602eb8, 0x66bb3cf0, 0xd54be8c5, 0x0e676b3c, 0x8d4403b0, 0xf4debbef,
+    0x7c2aff34, 0xa39d656e, 0x29a44145, 0x83973b76, 0x8264eda0, 0x35df69e9, 0xe9acbe4b, 0x5d1c9a22,
+    0x23430d97, 0xd32811cf, 0x07d516e5, 0x190c9871, 0xe7c2b40b, 0xec684f17, 0x4c9569df, 0xd991f206,
+    0x3e46fdae, 0xb5e17aa8, 0x080702c8, 0x3bfeaed2, 0xb4105bc8, 0xb244ac59, 0x0c9279c3, 0xf02704cb,
+    0x123afc4a, 0x9f39012e, 0xcd571ab4, 0x23430465, 0x1c8aab34, 0xefb4134c, 0xa5360714, 0xe18a6742,
+    0x66e08469, 0xb698daf4, 0xf3c8e0d0, 0x2665b1f3, 0xdd40b620, 0x7bb8fb2b, 0x45e4cc4d, 0x161d2230,
+    0x2ebba684, 0x917a69ed, 0xbf4764a6, 0x8102267b, 0x3e2c811f, 0x462621e8, 0x330a183d, 0x1420c9c8,
+    0x73e6d28e, 0xbe130c3c, 0xad9c7056, 0xdbdd5e63, 0xc779700e, 0xbe752cfa, 0xee0e7bd1, 0x7ef31af9,
+    0x51e8cfd2, 0x602d18cd, 0x42c9171d, 0x32fadf1b, 0x59c022fd, 0x8eed5813, 0xdd0fad12, 0x372de716,
+    0x85856f7a, 0x91253aef, 0x678acba0, 0xd932e2c0, 0x5a6101bd, 0x6af90db1, 0xeae7e3fd, 0xe73a704a,
+    0x121017f5, 0x7775190d, 0x4f273f61, 0x8ffbf089, 0xa013ba8f, 0x3b636ff0, 0x287a58c7, 0x461a9680,
+    0x1e759bba, 0x4409f26c, 0x09981d44, 0x60181faf, 0xb546f912, 0xf88e31dc, 0xafc1e2ba, 0xad3343ea,
+    0x29099ec6, 0x208b8d0e, 0xb5a93885, 0x1a404c36, 0xc39e47d2, 0xe681c0a9, 0x1e2f9b15, 0x285d1a75,
+    0xf728b96c, 0xf8d49f8e, 0x29721979, 0x8d4c91e5, 0x53b78244, 0x13051451, 0x8798a85c, 0x0af7da8e,
+    0x4bc34b13, 0xcc2d9afd, 0xebba9acc, 0x3b18883d, 0x3d387b35, 0xcc91c603, 0xde743477, 0x8dcb3b16,
+    0x849aecb9, 0x1283f4d6, 0xbfd1ba4f, 0xb1c690e6, 0x3b0d5e31, 0x49b6fb8c, 0x2c456c93, 0x4a8d51e7,
+    0x92854973, 0xcd8de793, 0x2386d2c1, 0xb15e9d17, 0xa06fa900, 0xa59656d0, 0x6a3b60f3, 0x7ff54c75,
+    0x99d817d4, 0xa6d877c2, 0x61fac6b2, 0xfbba6e31, 0x2c26a2e0, 0xddcdfb4d, 0x783f78b0, 0xfd75a652,
+    0x4c374bda, 0x2d3bcd9c, 0x15f596ef, 0x22e0183b, 0xf0c94e0c, 0x5c33582b, 0xe6d9738e, 0x45a0ef53,
+    0xfaedf26a, 0x7e260011, 0x18d8b221, 0x00628f95, 0xeeac22e6, 0x38c28203, 0xd10ca9b2, 0x943a7906,
+    0x24ed50b8, 0x2116cc8b, 0xeffbe958, 0x7d1ed8c1, 0xfd593e9c, 0x52c28808, 0x49dfd2cb, 0xa6906d29,
+    0x00000000,
+    0xb63ad0bc, 0xa3e24bea, 0xe9dd51f3, 0xd06650fd, 0x082e7859, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f,
+    0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000006156563468186637376918600015647439657\
+                         04370926101022604186692084441339402679643915803347910232576806887603562348544 */
+  { 0x00000000,
+    0x46958388, 0xe7aff463, 0x7267c36d, 0xe964b420, 0x460898df, 0x1bb0410e, 0xab1c83e0, 0x22fcd9fd,
+    0xa0e897aa, 0x7d5050fa, 0x20c4116c, 0xb705adc5, 0x3c7e37d3, 0xdd45e6dd, 0xac4a78e5, 0x03243a3f,
+    0x95845bea, 0xcedcee4c, 0xff1667d6, 0x8919a7fe, 0x30cd3ccf, 0xea64b903, 0x6ab1b168, 0x3d024484,
+    0x49fc4ec0, 0x2b1b5a15, 0xabe16ebc, 0xadbceaa2, 0x6d4a4e11, 0xded8f29f, 0xebe436a9, 0x17ba9d57,
+    0x53c81f42, 0x920fd57d, 0x0b715f59, 0x797e5900, 0x8d947797, 0xf8c8a7f6, 0xa0be5446, 0xb32168c6,
+    0x0f556881, 0xa6961949, 0xe531205a, 0xaa888b1b, 0x096114fe, 0x71621315, 0x1029a588, 0x46991414,
+    0xc029f23d, 0xbb777d04, 0x58d54bd1, 0xb4c4c376, 0x769195c9, 0xd6ed03d3, 0xd65577b7, 0x8aa53303,
+    0x7935c19b, 0x30308915, 0x5ce793d8, 0x19fb2775, 0x769b42fb, 0xce96fa30, 0xb19dd113, 0xae160191,
+    0x42c7fb9e, 0x1f911a3c, 0x484eaa67, 0x002b425a, 0x10bd1467, 0x5c41996d, 0x3a8f19a8, 0xe51ee09a,
+    0x7b715ca7, 0x9e009f87, 0x31baf831, 0x68fcd76d, 0x9653a23e, 0x1fa7523e, 0x4af87657, 0x32d1e33e,
+    0x4fec3b50, 0x70624b17, 0x8de12694, 0x36378604, 0xd02899b4, 0x9771e94a, 0x587aa639, 0xd4a12e24,
+    0x658af7af, 0xd6d0117d, 0x367ebd58, 0x3695f4ef, 0x5801739c, 0xb250cc3f, 0x16769441, 0x03162e9f,
+    0x176e4326, 0x6144fbe6, 0xa08ea6ba, 0xdcf3b42d, 0xeff996a9, 0x3593df08, 0xdce7da9a, 0x10230012,
+    0x000ed4df, 0x61026133, 0xf87d495e, 0xab11c5bd, 0x95ee662d, 0x35647ebd, 0x93d3ee29, 0x6e890cb0,
+    0x3ad393b8, 0xa47bca70, 0x8fae4fd4, 0x9d298bc1, 0x3b73eb13, 0x1e524d44, 0xaf94958d, 0xe0f5690a,
+    0xa6e2ea7b, 0xdebfc2b4, 0xddde9049, 0x76c9fe67, 0x3ebe58b9, 0x3cdeacdf, 0x40b39342, 0xfef90c1a,
+    0x604c3ecc, 0x92a48eea, 0x6104a645, 0x600276b9, 0x71b451e0, 0x15a6a281, 0x0874f105, 0xdef5ac36,
+    0x48fa55b8, 0x406894e0, 0x9555b8d0, 0xd7918a88, 0x9f3fd676, 0x805346a9, 0x33279dc3, 0x30f98bfc,
+    0xb2605fae, 0x22e3b206, 0x521a44e5, 0x665879d9, 0xea52f7e5, 0x03cec82b, 0x47ea96f9, 0xbd37d626,
+    0x3325077c, 0xf54d20ff, 0x492b720a, 0x6bd7459b, 0x3de69084, 0xa546187c, 0x0d48236e, 0x31fd54a1,
+    0x77611036, 0xfeefd1d6, 0x1b7024ff, 0x4569f3c3, 0xdc5d535e, 0x3883063c, 0xb35f6062, 0xc60a8cdb,
+    0xe90d94ae, 0xdfc60cbf, 0xcc24838b, 0x94473988, 0x58f13f8a, 0xb7e7673a, 0x3a6740c6, 0x7023ba84,
+    0x22487c1f, 0xf14bd9d4, 0xc1cb0d4b, 0x3cc60bc1, 0xc118896b, 0xbd0c1012, 0xff0ad9f4, 0x69861a50,
+    0x92cd2829, 0xf1958290, 0xb1e4e872, 0x56d4f5bf, 0x55ec0ba2, 0xadd0153a, 0x0e1224b7, 0x273c9b12,
+    0x47cc3745, 0xe9cc38f6, 0x9a4629d7, 0xb94a0b30, 0x462e81bd, 0x717e6224, 0x173eeef7, 0xa0f22e1b,
+    0xe09c27fc, 0x54f8ebd3, 0xbfc61175, 0x4a28b7a1, 0xfdcaa0da, 0x6938efde, 0x6e666a87, 0x8b79bfea,
+    0x8dec943c, 0x5fbf9a04, 0xf8ddb51c, 0x5cdcb314, 0x3fb8029b, 0x51366242, 0xecc8a061, 0x77dd5869,
+    0x8820ad21, 0xf7868441, 0x597abeb7, 0x5258141c, 0x5c11c494, 0x06b23283, 0xd0a32404, 0x15628a2f,
+    0x68e8b9ab, 0x6893d4d1, 0x890915a2, 0xcf62ec1e, 0x5e5a3d1b, 0x9be54be7, 0xf9500cda, 0x3b036091,
+    0x984aee37, 0x87f50d12, 0xbe2b7b1a, 0x3cc6d5f6, 0x7f299b68, 0xdf31898d, 0xbd8b881b, 0xea15e0d8,
+    0xcbf32b91, 0x32d33a3e, 0xf96965e7, 0x9be07b89, 0x7ac34bf4, 0x3cae07d8, 0x33559709, 0x61b30b7f,
+    0x406b6820, 0x51dec35c, 0xbf5cf445, 0x7c133731, 0x0b8b6881, 0xa0df8ae0, 0xc3b3a190, 0xe6897634,
+    0xbce9a922, 0x973af7cd, 0xb796a1a2, 0x294c0362, 0x19ee3671, 0xe3b18dbc, 0xb558a347, 0xe4036a65,
+    0x16f628e7, 0xa63e7d2d, 0x33e094b1, 0x40a29043, 0xad82aa21, 0xe063d3b3, 0x99090fd8, 0x2e34047d,
+    0xc2c13ed5, 0x0cfbdccf, 0xab844f7f, 0x0e262a51, 0xc2a02238, 0x938ce04f, 0xbd0a7a82, 0x0bcd57ac,
+    0x4086896b, 0x76a405fa, 0x96f0a6c4, 0x3f7c36c9, 0x4ab3b5e7, 0x4561085d, 0xb3239e57, 0x7cd1c00f,
+    0xb73e2723, 0x27b377a2, 0x22d4c0d5, 0x30c0215d, 0x44b67f7d, 0xc3af68f7, 0x31477039, 0xe433dd60,
+    0x169f5f6a, 0x608986d5, 0x3fb47365, 0xc0ea4b48, 0x01351f09, 0xd2d07551, 0x45f86b24, 0x26be9117,
+    0x71754a11, 0x3b07c149, 0xbd49de8c, 0xf77e8975, 0xfa1e492f, 0xf9ec557c, 0xb1b2246d, 0x64f6ebaf,
+    0xb5f05ebe, 0x702c2760, 0x48d7606b, 0x38b7bedc, 0xca901813, 0xae9f0325, 0x3e98158d, 0x25b21810,
+    0x89f199df, 0x65d3bbfe, 0xe0008e41, 0x94888dce, 0x56acb41c, 0x69f9ce5c, 0x62e171b5, 0xb3a0dec2,
+    0x6e843c87, 0x655fbec6, 0x8fc64139, 0x03692385, 0xa757eb7a, 0x7bb38320, 0x34b48838, 0x46284b57,
+    0xe1db7886, 0x43a567d7, 0x9d3b7430, 0x30af615a, 0x4076f3ec, 0x5459f9ce, 0xf0e1530c, 0x893620e9,
+    0x0eb12846, 0x01e1b2bb, 0xb6988739, 0x860aaefc, 0x31aba89c, 0xd69b34c7, 0x7c413a59, 0x613a4051,
+    0x980fa8b3, 0x9adcb3c6, 0xb68a5456, 0x4900907c, 0x71a508ab, 0xe664bf2d, 0x0cde659f, 0x24629d08,
+    0x69826316, 0x79d48600, 0xeae55963, 0x2dfcda3d, 0xc7b49c90, 0x0d0eec9a, 0x501ae4d3, 0xff6284f1,
+    0xb6c32fa1, 0x50a016e2, 0x7adc1255, 0xb9c70ac1, 0xce4c8f3e, 0x3e9dc8e2, 0x9268418c, 0x3ac508b5,
+    0x686b0fdd, 0xa0b3b97c, 0x307b4c5c, 0x1fc0dcd2, 0xf23c54fe, 0x07a9d2ae, 0x2d49cc27, 0x9ab21901,
+    0xae89bdc2, 0x34845d09, 0x0873532e, 0xf785ca6f, 0x13e374b6, 0x48d78327, 0x56e40e95, 0xb108afaa,
+    0xefed301d, 0x572cf132, 0x962388b5, 0x55f76c37, 0x6bd9751b, 0x6043c0a9, 0xacf5240a, 0x12080841,
+    0x64357196, 0x11aab249, 0x4662585b, 0xc86d4cb6, 0x0cb25f3e, 0x4265a1da, 0xef22169d, 0x90456836,
+    0x84a7252b, 0xa92f90fa, 0x251d3b49, 0x0e5646a1, 0xf33840ff, 0xa51a7b0c, 0xd22c998c, 0xb56dcec2,
+    0xc747d958, 0xfb10c23a, 0x8df0cfc5, 0x98140cd6, 0xfe723dae, 0x922782d4, 0xfc981d16, 0x03d592f6,
+    0x4759bc51, 0xfa62245a, 0x8b9561a8, 0xc2224913, 0x5f8b4e91, 0xd9d8105c, 0x257a9671, 0x29e67040,
+    0x120a46b5, 0x9328625e, 0xf01d35a3, 0x220ebcf7, 0xbab7200e, 0x8452d4d6, 0x2a519630, 0x5ddde83e,
+    0x1851abc1, 0x79c3c515, 0xa7b2ca5b, 0x4a672be4, 0x0f81cc5f, 0xd395eb90, 0x43b8ba92, 0x4d74251e,
+    0x5708acf0, 0x61a5abb8, 0xad841e1b, 0x3fee8033, 0x8cadb784, 0x1ca24e7c, 0x09cdd153, 0x78613632,
+    0xe52ac2ab, 0x5a812c43, 0x069480c9, 0x55cd2438, 0x38558f35, 0x6fdd0810, 0x9b4aef42, 0xd2605247,
+    0x72ae4e6c, 0xaba8ae6c, 0x674e9cc6, 0x1d59e250, 0x0e744cc1, 0x8bf78851, 0x53613519, 0xabfe7e2e,
+    0xab91689a, 0xac2f509a, 0x337966d3, 0x7b248534, 0xd4427f7f, 0xe8ab29d3, 0x4f93909d, 0x8418d6db,
+    0x5b49ca2c, 0x503b1b88, 0x721df5eb, 0x53865fb8, 0xaf432d28, 0x570d1eec, 0x5d21eb27, 0x59f48a85,
+    0x6d80452a, 0x5b512504, 0xa27ae341, 0x609a607b, 0xfca675b9, 0xf4d0a462, 0x49537a54, 0xe7d5068d,
+    0x27802556, 0x77ba196e, 0x2cfad30f, 0x90928157, 0x30356202, 0x776c42b5, 0xc735f28c, 0xa6518a1e,
+    0x273a2975, 0x6bf0fb95, 0x7b5e1b4b, 0xe072ed83, 0x5581dfe8, 0x6667ade3, 0xbbbcac48, 0xbdf6bfe9,
+    0x38264137, 0x36d59628, 0xdf662eb7, 0xc25f802b, 0x9ce9337f, 0xed159b4d, 0x038e5bcb, 0xcaf2d64a,
+    0x0b01e5a7, 0x48cc10fd, 0x2f05cd40, 0xd70b87fc, 0x85c2fc02, 0x0c410fb6, 0xae892adb, 0x2fdba2bf,
+    0xc3059e9c, 0xf33e39b0, 0x6f4af08a, 0xa40f7893, 0xa0d8fd89, 0x950779be, 0x4c729c82, 0xdbe9fdd3,
+    0x1385af6a, 0x4c532a95, 0xd0bde543, 0x0233c159, 0xbdda280c, 0xe82e83af, 0xb4119503, 0x1127dd76,
+    0xd6e9f478, 0x2c28b9d8, 0xca24b4d0, 0xaee23fad, 0x8de063ba, 0x387380e1, 0x84615bc6, 0xeea7a4ec,
+    0xf48f30d0, 0x30030600, 0xc23efb9f, 0x3dd1c6e1, 0xcdf2aac1, 0xafbaa05b, 0x94110ed5, 0x2852cafb,
+    0xd75672c2, 0x11462859, 0x5b573da4, 0x03910803, 0x8253f83b, 0xcfadce15, 0xad68eaf1, 0xe34ff4b4,
+    0x9a4b84ee, 0x72916092, 0xca0d1ae2, 0xf526f77e, 0xa5b7da6d, 0xa4e69f48, 0x64403840, 0x3b52668c,
+    0x94e56d9f, 0x3c57b568, 0x049f3da0, 0x24ddac54, 0xab22dd5a, 0xa4629994, 0x7612149f, 0xd0bf94e7,
+    0x0692193d, 0x4f66a7bf, 0xbf21c3ef, 0x5c0ec652, 0x5110150b, 0x2a7ffa34, 0xa4fc4bb8, 0xc991bc59,
+    0x46c91bcd, 0xf9f6ac4a, 0xc2490732, 0x332dbc9e, 0x284d0629, 0x21ce8b50, 0xfedb903d, 0xc0fe9b4d,
+    0x2a7a6534, 0xc31313fb, 0xbe87544a, 0x2aacefc4, 0xf596374c, 0x4c57dfdf, 0x3e5b68be, 0x559f64bf,
+    0xc263d713, 0x2efacffc, 0xc92264f3, 0x5e0334c2, 0x80364790, 0xa186f5a3, 0x8f92d16a, 0x4e225851,
+    0x237fe4e4, 0xbc1857b9, 0xf6beec36, 0x1b150e8f, 0x70d25fa2, 0x1b5353e6, 0x98c9ece6, 0xc26bac1b,
+    0x4741159b, 0x8a84c0b3, 0x5373707a, 0x90be261f, 0x98732bba, 0xe8611b2e, 0x38926363, 0xe219ef7e,
+    0x8d06eaa5, 0x85ab8da9, 0xf025f97e, 0x56467deb, 0x7015726c, 0x58e6c84f, 0xc484ca08, 0x0c889004,
+    0xb58e8b2a, 0x10d0d409, 0x58ca4d0f, 0x62624e6e, 0x318c1709, 0x062852e9, 0xa8a8bf30, 0x706d30af,
+    0x5cc952e2, 0xdf43ca80, 0xffb39d4f, 0xf9d5d389, 0x577fd154, 0x32020c0b, 0x2c0b3cc7, 0xc719dbc8,
+    0x59f020b5, 0xa8316d29, 0x10fc7dc7, 0x04b7907f, 0x76685847, 0xd8ab6c71, 0xbe058f5c, 0x8325433a,
+    0xbe86040f, 0x5cde01a5, 0x049405bc, 0x83d27dae, 0x974a9515, 0x9cc29a43, 0x0bc60c8e, 0xb76e005e,
+    0x057c87b0, 0x793d6174, 0xbbd9961b, 0x07bff56c, 0x654e2772, 0xd489ef8b, 0x5aebf52d, 0x2980ab9f,
+    0xb19ab5fb, 0x5aa87482, 0x0e388a41, 0x98702405, 0x6003b159, 0x486918e6, 0x9130fe04, 0xba245145,
+    0x2e184991, 0xd1f96d1d, 0x56b72aef, 0x03dc7ef1, 0x8d2fdc71, 0xfdf835da, 0xb67a8b1d, 0x1b199068,
+    0x91ff45d1, 0xf9da783b, 0x4a6772ce, 0x390a45b8, 0x96a17aa5, 0xa8503d12, 0x57274b69, 0x52ecfce6,
+    0x7cfb4685, 0xde848900, 0xf359ecdd, 0x82617ace, 0x4adf4490, 0x95357dc0, 0x7909cffc, 0xca2d4b8e,
+    0x9311bf19, 0x5e754f3d, 0x0135bad8, 0x479be1ee, 0xec68e9a5, 0xfe891de9, 0x6f356016, 0xaa0665ca,
+    0x50655a62, 0x8ebc253e, 0x36b34156, 0x5dd57128, 0x5767e51f, 0x9be55743, 0xfabd845b, 0x526c2fac,
+    0x2572b6c6, 0x473f7456, 0x07438bc1, 0x5e448c3b, 0x51c96b55, 0x2c97aecf, 0x9fdb8c0d, 0x4379f10e,
+    0xc759a76c, 0x9aa456fb, 0x9c5f91be, 0xb98d2a3d, 0xf0f0c149, 0x870003d5, 0xa1972e86, 0xa18ad397,
+    0x3d35bbff, 0xbac1b0e0, 0x62845904, 0x6a704fd7, 0x44e7e27f, 0x15e7e903, 0x8bc2cb35, 0x611d1600,
+    0x8149b818, 0xd0270cf2, 0xd52011a0, 0xef71042a, 0x681b4648, 0x1974d9b6, 0xcff3a99a, 0x316a9861,
+    0x7b2b242c, 0x1874a7dd, 0xd34c8678, 0x54bf2dd5, 0x1762f4a5, 0x47898c53, 0x801f4b64, 0x9321c23f,
+    0xf10476f5, 0x556ad61d, 0x4f989878, 0x60e0f87e, 0x5636951e, 0x7928310b, 0x6dad2421, 0x11ba5498,
+    0x15705038, 0xeb149e30, 0x18da13c5, 0x95a7feea, 0xd46cb7a0, 0x274f5897, 0x9232efd1, 0x01c984c3,
+    0x5093fc5d, 0x8fde00f0, 0x167a9b16, 0x6b8ce760, 0xefe18fd4, 0x365e00f8, 0x9df05235, 0xa423fe18,
+    0xd28c7037, 0xdc6bdb9c, 0x6d03c083, 0x9087021f, 0x04300ebf, 0x6d4962b8, 0x54694df1, 0x1bf5ff8d,
+    0x13fb9273, 0xfabbb693, 0xb3130d59, 0x7434c5f4, 0x3801a094, 0xddcc4b07, 0xa526b50f, 0xcf68f3d7,
+    0xae34f3c7, 0xae0cc470, 0xd848759a, 0xa6132341, 0xfe795832, 0x7c13fd56, 0x3c019286, 0x96c61b18,
+    0x2cef1ed8, 0x630542b0, 0x64b69478, 0xb07aa8eb, 0x9de5674f, 0xc78d5ace, 0x697c3149, 0xd689f689,
+    0xdce1c0a2, 0xb9872aa3, 0xe076ab65, 0x857a10c9, 0x561eb6f3, 0xb85939c7, 0x2945d340, 0xcc95eccc,
+    0xfdfc6b3a, 0x0bec7078, 0xeae49790, 0xd7c38719, 0x5e800f73, 0x34f3bf7b, 0xbffa00d9, 0x0bf87dc1,
+    0x70061db7, 0xaf0fe38f, 0x226f268b, 0x58c24f83, 0x91d66900, 0xdf94609c, 0xdee3a6fe, 0x953eacc6,
+    0x7257c4ef, 0xa7018cf7, 0xff53fe45, 0x63aef37f, 0x834bb2b0, 0x5a86994b, 0x471cdeea, 0x750fa076,
+    0x01e0791e, 0x7a7308d2, 0xfc859502, 0x2db41fdc, 0xae0d6af2, 0xf2c461dc, 0x85764f3d, 0x38bef962,
+    0x10a57304, 0x65e59a59, 0xce386d4f, 0x80d9b8f2, 0x3ae94f5f, 0x055e7316, 0x6b1c79a6, 0x0584ec8a,
+    0xc7ac5f2b, 0xaa671870, 0x1158d80e, 0x84910312, 0x59f67759, 0xd774e391, 0x4d4c4f14, 0xd6a8c829,
+    0x8c9ef3de, 0x623bc448, 0x887e2ec3, 0x68c79fad, 0xb43fb4e5, 0x53c52153, 0x21fb6d5b, 0xf5d5615b,
+    0x1f0730a2, 0x8f9c9d62, 0xffb047c0, 0xcabeaaef, 0x939e0347, 0xb8aa084d, 0x992e0136, 0x0d8b4357,
+    0x9275f59e, 0x55e2f851, 0xc04d78d3, 0x883963bc, 0xeff0db3c, 0xd1c52cb7, 0x10d71f49, 0xf9c8b1ab,
+    0xe7561540, 0xf9f74db4, 0x4985e68e, 0x5d26046d, 0x6697ded0, 0x8defbdaa, 0x1bb7f90b, 0xbeb22b13,
+    0xf0e5f7d6, 0x5e1cae98, 0x7e7a987d, 0x4ef72ecf, 0x95e25cf7, 0xb5a65f4d, 0xbb62087c, 0xc36ac2d9,
+    0x5a57c127, 0x56815408, 0x9dd69c4d, 0x136ad3c6, 0x0b679d83, 0x6f31b869, 0xfe9d7c08, 0x4e98614e,
+    0x2de4328c, 0xcf2f7e6e, 0x319f1439, 0xb18c7bac, 0x2a5fb6d2, 0xb0ef885c, 0x73f100de, 0xf3e45553,
+    0xcbff694b, 0x5c6fa704, 0x072ed6ca, 0xbcefca3c, 0x842b60ec, 0x0a08b6f0, 0x958fd3e8, 0x6698ce61,
+    0x51b84cf0, 0x30531dcc, 0x431f41c9, 0xa4e5b73f, 0x9cc33eef, 0x79453c27, 0xc7b61da4, 0xa7f710fc,
+    0xc60757aa, 0x5077ac1d, 0x9cdd188f, 0xa4abb471, 0x137fa28f, 0x61c5639e, 0xfdee7273, 0xa1675e41,
+    0x27fb18bf, 0x60796afd, 0x10e034cb, 0x3071b56d, 0xb504fa94, 0x94c0d63d, 0x4c0f1bd7, 0x50b262dc,
+    0xaaabd46d, 0xb05c7dc6, 0x64226c6a, 0x8607962d, 0x13330b66, 0xf1c18839, 0x3f64cc43, 0x3de44f74,
+    0xb6048418, 0xe396d01a, 0x936fea3d, 0xa8a158f5, 0xcec2ffb1, 0x4ad4eda7, 0xdddab883, 0xb8b3fa86,
+    0x3223d833, 0xc50eadd1, 0x57d8c696, 0xcc938e8b, 0x200700b2, 0x057f8b19, 0x2de65e8b, 0xc74f8032,
+    0x5a605b59, 0xca435d34, 0x1dfb5dcb, 0xf73c5fc1, 0xef897cbf, 0x4c1a32e7, 0x9066b83a, 0x07a0100f,
+    0xaf3718f3, 0x3a12ee33, 0xa477cedb, 0xa606f26c, 0xbf1d6345, 0x27ec67e6, 0xede21b2c, 0xce7ede9f,
+    0x00000000,
+    0x5b1d685d, 0xd1f125f5, 0xf4eea8f9, 0xe833287e, 0x04173c2c, 0x748db564, 0xf1bd9d6a, 0x66cb62af,
+    0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000003078281734093318688459300007823719828\
+                         52185463050511302093346042220669701339821957901673955116288403443801781174272 */
+  { 0x00000000,
+    0x39de22d3, 0x1c236ff3, 0x6b67239f, 0x893acdfc, 0x08328ba0, 0x43304559, 0xe9904cea, 0x7fe15ccf,
+    0xd2e86383, 0x4767a80a, 0x3b557a2f, 0xe0fb8aeb, 0x9b6188c0, 0x55ac6ee4, 0x31370819, 0x8a75d48d,
+    0xb234cc80, 0x580cc266, 0x6afaba21, 0x6a9f851c, 0x83e6cf6a, 0x00ce9685, 0xd9c47bdc, 0x2022ef26,
+    0xe6e6a484, 0x52106627, 0x2999f31f, 0xe3bef78e, 0x19a2c19a, 0x0575905c, 0x7d514dc1, 0x5466b795,
+    0xaf77d795, 0x2a7bb58b, 0x6adab9e6, 0x73481b39, 0x1549a310, 0xc31ad6ba, 0x74812d09, 0xce0c3b0e,
+    0x4bccd415, 0x4ed7e380, 0x13861586, 0x63573c16, 0x328229ac, 0x18a6e17c, 0xc919fcb7, 0xc98b8e86,
+    0xa06ae646, 0x8856356b, 0x349388cb, 0x3563bbd9, 0x40cc0720, 0x231db41a, 0xacb2b265, 0xba2f1047,
+    0x3f035436, 0xac028be5, 0xc6982ebf, 0x443a96af, 0xa7e9325f, 0xe980323a, 0xc9dae9ac, 0x078efa05,
+    0x7d2abdf9, 0x85bac731, 0x7996589d, 0x91979f9c, 0x318bf94f, 0x4216df38, 0xdb88378f, 0x216fde3b,
+    0xcd56da76, 0xa03bcf47, 0x9d97df73, 0x66512b3f, 0x185eed11, 0xa4317e88, 0x1905a2ec, 0x8825e9c4,
+    0xfa727214, 0x06b934f4, 0x141740f4, 0x55bee15b, 0xe2469a81, 0x992cb8d8, 0xcd3d07e9, 0xedbd1ede,
+    0xde548a7f, 0xcca969dc, 0x2fb35cf1, 0x4edef559, 0x05d79007, 0xc8f36955, 0x7561efc2, 0x1a6acd1a,
+    0xde98c705, 0x4c29a762, 0xf5f2e804, 0x2e489696, 0x3e7fee4a, 0xe97a4498, 0x0e50df3c, 0x631cd1ac,
+    0x7bddb6ec, 0xb1f0a017, 0x89910d60, 0x51873274, 0x56b7e901, 0xa8a45ebb, 0x87673ee9, 0xdedcfb4f,
+    0x232545bf, 0x46adb017, 0x06216a23, 0xde7fe9a2, 0x2b76ddea, 0x2fb0c507, 0xa98d0dc0, 0xef1f65cb,
+    0x38d24a08, 0xe682f270, 0xbc25a15d, 0x53bc40b6, 0x8961904d, 0x682084b1, 0x70da02ac, 0x3c5562de,
+    0xc6898c01, 0xc8589944, 0x6ad97b59, 0x7c508ebb, 0x82de326a, 0x9f903847, 0x06d462b1, 0x272ffc5e,
+    0x12a48f39, 0x06ecfe84, 0x51e938ae, 0x8bc6de9d, 0xe2d0c00f, 0x6a2c7345, 0x8dff2d9f, 0x6427af63,
+    0x2bfc389b, 0x6863825b, 0x8f5c0776, 0x99726a4e, 0xe124a34d, 0xa91a0aa5, 0x276ab027, 0x47cd8898,
+    0x22ca97de, 0xb3086858, 0xcfc232e4, 0xaf2b302f, 0xe0506fc2, 0xb3257d6c, 0x77e20bd2, 0x1da17482,
+    0x84a41a99, 0xa5089476, 0x51a7a3a0, 0x91f08341, 0x2af682db, 0xe27ccce0, 0x5edb84ec, 0xa5779a16,
+    0xc797256e, 0xfb2c5992, 0x860382f8, 0x0dc58772, 0xf511ac81, 0x56b3631e, 0xd15ce5f2, 0xc9b4e57d,
+    0x8cd1f364, 0xa48881b7, 0xfbdc2db6, 0x2977c66d, 0x2de0a55c, 0xbc8607fd, 0xee600bd8, 0x6206a652,
+    0x0a6a4d21, 0x76523af3, 0xa05ae242, 0xfca417ef, 0xcbfdd00a, 0x35a66eff, 0x0f30c345, 0x59d4c614,
+    0x02fbd4b9, 0x0f7ca1a0, 0xb4c15e78, 0xbe243082, 0x9466a6c6, 0x73fd24f4, 0xeaa34164, 0x1b42733c,
+    0x757854fb, 0x7c3a8bec, 0xb5901c83, 0xbc867971, 0x7202880e, 0xda2e1f1b, 0x4242bdaf, 0xe56172a2,
+    0xf8aebab2, 0x1bfaf749, 0x29bcce06, 0x9a25ad36, 0x32ccefd1, 0xd6465b92, 0xa9f1b522, 0x48bb469b,
+    0x9092f726, 0x14fb4bf3, 0xa2f9d4f6, 0xdcc25576, 0x22651c91, 0x2e7b4212, 0x09c7af69, 0x042028ac,
+    0x63df2b56, 0x2382c55a, 0x942b1018, 0x56bad17b, 0x3c2a14c1, 0xb65496c5, 0x2b8fce77, 0x2fb58e66,
+    0xefc764df, 0x5cb69fe5, 0xf32b17e9, 0xb100051b, 0xa951365b, 0x85d8e996, 0xa7bf0e00, 0x2aea0a77,
+    0x38b91b2d, 0x19beb4ec, 0xec63ef1a, 0x6e94b361, 0xcba3111a, 0xb83de1f2, 0xe47f6e0e, 0x8b4688e9,
+    0xe255278b, 0x7ebe27c9, 0xd87c965b, 0xd0cc5839, 0x38f019d0, 0x60b1af0e, 0xde0a5873, 0x452bccfd,
+    0xbfba23ce, 0xe0143e36, 0x3b21d292, 0x9c178240, 0xbc50ace8, 0x4da31e9c, 0x8786b77a, 0x0b3ed0a7,
+    0xa85d2de9, 0x62ca4482, 0x83b0586f, 0x55a12607, 0xfe49bcba, 0x92d82c84, 0x946d7067, 0x23776902,
+    0x1cce3c06, 0x97dbae51, 0x41a82bb6, 0xf6e07f82, 0xa4792c22, 0x781ad651, 0x169066b6, 0xd996590f,
+    0x5256c22c, 0x6a81cabd, 0xf0248eab, 0xf436fbe5, 0x1146c1ed, 0x241aa48e, 0x214fc6ea, 0x981d0b24,
+    0x00303533, 0x3f9dcebc, 0x851c5e85, 0x28e118d9, 0xa57f4cca, 0x370c3f6e, 0x2abb3cad, 0xdb24a77e,
+    0x9dacf540, 0x1bcc38ba, 0xcacfefc3, 0x782ff69a, 0xff0f8bf9, 0x8a835090, 0x3f74d0d6, 0xf9a021c7,
+    0x4bb10617, 0x4105c897, 0x94e9b5bb, 0x40285da7, 0xf4edc3f8, 0x243139a1, 0xbe3286f0, 0x93348c01,
+    0xf7058043, 0x5e9e1950, 0x3f8d946d, 0xa47c2722, 0x92bae934, 0x670282dd, 0xc69aa49b, 0x46e3f146,
+    0x86399445, 0xa033b7be, 0xf413d5b4, 0x0857b9f2, 0x5b182d71, 0x3e95be7c, 0x02bcd282, 0xfb8c5145,
+    0xe45b0771, 0xe0812975, 0xcad6a724, 0xf777056c, 0x95ebc530, 0xe8442ac1, 0xe556c976, 0x9a58728b,
+    0xe84ebcf8, 0x05cfed91, 0xa03f36b3, 0xef5989b6, 0x1b3d924a, 0x98b32003, 0xe0433cc3, 0x8de9e850,
+    0xde41cf66, 0xce5985e8, 0x01aefb27, 0x9779f1d3, 0xfdc5542a, 0x87044d8b, 0x50d75d21, 0x47151cf5,
+    0xa27815e5, 0x3616d1c4, 0xa3930954, 0x54acec5a, 0xa0a68197, 0xd760fb5e, 0x024d7d49, 0x6a68eab0,
+    0xbebe3da7, 0x3f8f1f63, 0x3612ab1b, 0xce7380be, 0xfeeffe98, 0xe72e3a5c, 0x9dc81462, 0x9e447bbd,
+    0x63153ee8, 0x0fa9fc32, 0xb3fc0221, 0xc90aa942, 0x7518d6f9, 0x6f907040, 0x40d253a5, 0x60f866ad,
+    0xb9505024, 0xdbc7db0d, 0x71a4290d, 0xbede8645, 0x015e3726, 0x68cf841d, 0x09d81c9e, 0xa43ee053,
+    0xb7401558, 0x60475248, 0x54ec5b76, 0xf62bdf5e, 0x4f438f78, 0x0f8ab77c, 0x511df55e, 0xd61d41a6,
+    0xf485fde0, 0xc1d1b341, 0xdf07db3f, 0x09a56438, 0xceeda147, 0x4de7261a, 0x2a394a24, 0xc1a98b00,
+    0x33141445, 0xd5799aeb, 0x19c0c7b5, 0xca0aacbe, 0x8ff67fd0, 0xcee7e9dd, 0x12b5d8a5, 0xc59de143,
+    0xc7f273ef, 0x85959d7e, 0xcf98a277, 0x8db11e59, 0x598f597e, 0x13b84806, 0xf3792b5f, 0xe0833820,
+    0x8c1df0f4, 0xabd217cf, 0xd660574a, 0x4d8ea177, 0x2921251d, 0xba007a10, 0x4c5e5bc6, 0x779ad25a,
+    0xb8982c51, 0xedc6924d, 0x6bc69376, 0xeb7caf68, 0x1d36b6c2, 0x35930493, 0xd9f94224, 0x30183e9c,
+    0xeaf1bcee, 0xfaf89dae, 0x656ddd55, 0xb932e776, 0x97b76411, 0xb2d18393, 0x446ca500, 0x30bf298b,
+    0xe47f6626, 0xbaf90fb0, 0x52977aa6, 0xf918357a, 0xda481a02, 0x1fd30c95, 0x1b5d5c95, 0xf59bfec0,
+    0xe1696b3d, 0x09aee48f, 0xcd5311cc, 0xa2e13822, 0xca17dc2a, 0xc3b8e909, 0xbd675a93, 0x058c092c,
+    0xc3186cca, 0x15900745, 0x022b8cb4, 0x9a364847, 0x6e018cb0, 0x0f68d214, 0x879fe0b3, 0x92c63d57,
+    0xc6a2465f, 0xdbd896ce, 0x3ef84b42, 0xef42d750, 0xd8621d48, 0xaa3f8177, 0xbe3c2dcc, 0x16bd6dd6,
+    0x4834b8a8, 0xb870d95b, 0xfa67f12d, 0x4d6f0404, 0x7a2beb98, 0xffdc025f, 0xaf76ec62, 0x2efe8d6d,
+    0xd3a01101, 0x56b1fec8, 0x1bc51993, 0xc741e035, 0x6b831ee1, 0x5570f7a5, 0x4c0bb429, 0x38780de0,
+    0x505864a8, 0xa28c21f5, 0x10449e9a, 0x60e496ca, 0x3d6ee5de, 0x74b68642, 0x8b6c9782, 0x50803024,
+    0x6ff5a64b, 0x3eb8d4fa, 0xaa86c6d1, 0x7609b3fb, 0x637fc1a0, 0x6698c2fe, 0xad9f0985, 0x107febce,
+    0x73832739, 0x0b6c6191, 0xb0b0560f, 0xbb7f90e7, 0xbfa8f367, 0xf83ee8c0, 0xef839ce3, 0xaa8b7089,
+    0x0e637b75, 0x0b4c3fc1, 0x3417e668, 0xe17f8ddf, 0x91733491, 0x6f0f1270, 0xdf6bd221, 0x25240d18,
+    0xea4a576b, 0x98bed652, 0x1de56a83, 0xd18d9e91, 0x3a3988e2, 0x75173ef4, 0xadb0cafc, 0xe7aa7719,
+    0xa8655873, 0xd7840760, 0x838495e0, 0x6bef3b96, 0xbb5ce79a, 0xadcf0cf4, 0x13f27bc8, 0x909db159,
+    0x684bfd7c, 0xbfba1d54, 0x4ad5f2f5, 0x2d3b587c, 0xb5467e9f, 0xf43f9123, 0xd88f48c7, 0x90d4ae5f,
+    0xc3d6fa53, 0x90b482ae, 0x15d720f5, 0xee48f504, 0xdd9bbfa7, 0xd8ad438e, 0x012837d8, 0x5d3f0997,
+    0xf24de14e, 0x11c546ef, 0x1cb6e63c, 0xcbbf38cc, 0xba6131b5, 0x8957b0cc, 0xada03225, 0x59642dc8,
+    0x36349ece, 0x9afc261e, 0xff31a2d3, 0x56ff0a88, 0xe41fd135, 0x7789f764, 0x617dafb5, 0xb32e45e0,
+    0x203f9014, 0x6b17443e, 0xb4809ba5, 0x62457110, 0xb3961bb3, 0xf7ba5400, 0x95fcfad0, 0xdc962c94,
+    0x47bf11e7, 0xf170d298, 0xf96f3192, 0x3b401b98, 0xb88e1c06, 0xa0dd8366, 0xd42e7b27, 0xc3daf671,
+    0xf53c410c, 0x872d7fdf, 0xa4c54d9d, 0xdcdfae9a, 0x484c9440, 0xa750482f, 0x094f4108, 0x94ebf983,
+    0x448e305b, 0x2a269328, 0x73817777, 0xa885b518, 0xed98cd2c, 0x012a866b, 0xf9dc8cd3, 0xdd145196,
+    0x14c1e9ec, 0x19f3fad7, 0x4dbe7134, 0x1e8f541c, 0x6f8e28a6, 0xafcc1272, 0xe82a49da, 0xd03899d3,
+    0xa85aa409, 0x0a1af4aa, 0x25af0019, 0xd3c191e2, 0xe02d62a5, 0xf37c9dd2, 0xcd6e6b95, 0xec680a61,
+    0xb9fe5764, 0x7bca366c, 0xf8bdea02, 0xa85566c4, 0x0a5de54b, 0x38c25829, 0xe2effcbc, 0xdb697170,
+    0x52e1790d, 0x9408a1b4, 0x83ece3cf, 0x3d972fe6, 0x00b94283, 0xff259a70, 0xaf888f86, 0x057d4c80,
+    0x088434fa, 0x70387cca, 0x66570051, 0x11468378, 0xc937c742, 0x2a0994b8, 0x753e9162, 0x1769a2f0,
+    0xe795067e, 0x2c449d9f, 0xa29fa5b0, 0x92f3a6db, 0x593fbd9c, 0x2ae7c786, 0x805b7262, 0x6cbb0b26,
+    0xa989aac6, 0x37999809, 0x28e4ce38, 0x5be5fbb4, 0x0d57324f, 0xf4f6e053, 0x206fe4cc, 0x802f7841,
+    0x3a212195, 0xb191087a, 0x67a52191, 0x5bfc4fa3, 0xc8e7301e, 0x28d0cbc3, 0xa45dc4a5, 0x2709804d,
+    0xb96fd7f1, 0x2a994b67, 0xe6a69a2f, 0x1ad48b86, 0xbe44b858, 0x4706b4b4, 0x8398da64, 0x00a8cd63,
+    0xc826c138, 0x5270e9da, 0xb4362e73, 0x87b19dab, 0x7c5e2c75, 0x014f3558, 0x6b6532e3, 0x814af67e,
+    0x85eedea0, 0x916a7a2a, 0x6e70a49b, 0xc81bf29e, 0x3eda9184, 0x14266311, 0x23ab3238, 0x59add8d2,
+    0x05cdc65c, 0xb81d4059, 0x60a85510, 0x6c0c03aa, 0x082a2f5a, 0x695f6c57, 0x21477dec, 0xa334e23d,
+    0xd404c2b1, 0x6cac582d, 0xce80ed9d, 0xa8c9cf28, 0x4ef84a01, 0xace6e89a, 0xaf061295, 0xf1dc9402,
+    0x53d86da2, 0xb6a85aff, 0x496c032e, 0x44dab40a, 0x3f6dc0ba, 0xfd5c4c19, 0xa7205f1c, 0xdaa3940f,
+    0x7a2c8211, 0x1d6db77d, 0x2b2b5ac7, 0xe7ee8d22, 0xa80132ae, 0x918817dc, 0xf9797eda, 0x7fd193aa,
+    0xd025001b, 0x1ab4cce1, 0x29f31360, 0x4d047536, 0x077e1532, 0x1a64b98d, 0xb9ff87d6, 0x46f4b79c,
+    0x2dc05b72, 0x07d909d4, 0x9665b6f9, 0x2fe022e7, 0x38172516, 0xb329b479, 0xae7feda3, 0x79e77946,
+    0xd16af9db, 0x626bdb05, 0x2c0c36f3, 0x060314a8, 0x26aaae78, 0x5519ed97, 0x6481dd7e, 0xde64f09f,
+    0x18f472b4, 0xdcd03ec5, 0x23ea74b2, 0x9d6da680, 0x24ac2767, 0xd2a0cdfa, 0x7a03142b, 0xa9373f65,
+    0xb04c3f5f, 0x5c583e52, 0x586108a4, 0xb61951e1, 0x0184ad47, 0x59c0598b, 0xe7409671, 0x098cbac5,
+    0x324f474d, 0x504ed2bb, 0xd89a226b, 0x9dd5acaf, 0xe9ffcdae, 0xe321c034, 0x83ba058d, 0x83a06951,
+    0x9c191f1c, 0xc73b196c, 0xd80aff3e, 0x4c9fc211, 0x686b7de8, 0xeccbd2ed, 0xdfceab86, 0xa5febf4e,
+    0x7909d1ae, 0x2a19a1dd, 0x2b932d31, 0x4a318192, 0x6b024054, 0x167aff3d, 0xbdc8ebd2, 0x9b5e3fbb,
+    0xc1b98d6d, 0x666c877e, 0x064202df, 0x9003747d, 0x4a4ab7d3, 0xd40e4ba5, 0x77abf80a, 0xe96d9a96,
+    0x1e077665, 0xa5bf3dec, 0x66c2033e, 0x0fd289c3, 0xcfa2332b, 0xd3285324, 0xc20f1611, 0x116b5f79,
+    0xd362fe0d, 0x4f6dca37, 0x1110f698, 0x077c02f6, 0x2dec71d5, 0xce8fefd5, 0x072f1965, 0x211abeb1,
+    0x42edeb46, 0xe8e37769, 0x7d4684c5, 0x6a370108, 0x03f5bb73, 0x241fb6a0, 0x673147e8, 0x252b7313,
+    0xb490e2f9, 0x107e8e86, 0xcae1540e, 0x4d5a4bef, 0x219d9df0, 0xfd84bca1, 0xdc711ec1, 0xf7d7673c,
+    0xa1753f67, 0x05645173, 0x69c10d28, 0x22050c4f, 0xf11e1ee2, 0x2811d8b6, 0x8af0c004, 0xb11c7484,
+    0xe4927806, 0xc74ecc18, 0x1030230f, 0xf6b69523, 0xdfd34541, 0xcf4ed855, 0xb2e44e52, 0xda8ab8b5,
+    0xb953b985, 0x75e81b6a, 0xd772b9be, 0x5a93b9a4, 0x04e5430a, 0x79812f81, 0x42ce5eae, 0xf4e2799b,
+    0xf10bb722, 0xaf4cadd0, 0xb090e89e, 0x12fa0e58, 0x3ecdfbb3, 0x6205b6ea, 0x338958f8, 0x27f77ac9,
+    0x6f1293e6, 0xb8f097a3, 0xc34a561a, 0xf5bf74ab, 0x1c0374f1, 0x917f22ee, 0x381fadbb, 0xec5ca04a,
+    0xb6be6cfa, 0x36f2615e, 0x807aa16d, 0xbd01465e, 0x9bdaf647, 0xa1a6f4a3, 0x18f53de2, 0x9cff2001,
+    0x291d67a1, 0x7983866a, 0xf6b2f97d, 0x06990ee1, 0xf4563c3d, 0xe9b53b9b, 0x1f2beff9, 0x25566611,
+    0xb121b44b, 0x9219d591, 0x623badde, 0x0b8e0f11, 0xe0fd2709, 0x16fe68a9, 0x372b58e3, 0x3bd74cc1,
+    0xe4f7013d, 0x8ee81dc0, 0xb68c7e2f, 0xbc2a18b4, 0xd303010a, 0x589bdaa8, 0x3fcca948, 0x5da1e911,
+    0x57c3c4fa, 0x4fd1dd70, 0x6f68a336, 0x6cd15134, 0x492a7615, 0x6fb95cdb, 0x2201bb86, 0x8a2fbdc0,
+    0x52d1fbbf, 0xe7275acf, 0x9754039c, 0x4cbd67c8, 0xe60a4560, 0x81839e1b, 0x7df80bad, 0x4601d3d9,
+    0xd661e6e2, 0x4af60667, 0xbee903fa, 0xf61c9714, 0x227434f1, 0x03dee86f, 0x2fb36808, 0xfc1e4306,
+    0x29898d32, 0x15ea5eed, 0xa92a5fdb, 0x8edbc9d7, 0x834d868f, 0x2f21c097, 0x6306f82d, 0x6483fcaa,
+    0x7b8225ef, 0x709589cd, 0xf69ad1e8, 0x03540c1a, 0x83b970c9, 0xa99c011b, 0x3e8307ef, 0x7501abf1,
+    0x150c77f5, 0x707936d0, 0x3974986c, 0xf48a7714, 0xf2a26bc6, 0x31df51b9, 0x28bc7f63, 0xa70fba5d,
+    0xebf4bc20, 0x840a00a6, 0x2d93cde0, 0x78ef2ee0, 0xaadf9d39, 0x9f327faf, 0x9455fc94, 0x134c34ce,
+    0x6b0101e4, 0xc3657ed0, 0xaa084a11, 0xe6f54f01, 0xb513e8bc, 0xe324d57b, 0x9cd04a7f, 0x36304923,
+    0x1dfb082d, 0x10afd894, 0x8da89cb4, 0xf7b29533, 0x109bfea8, 0xc9daba7c, 0x4a6cbdbc, 0x2e33f36b,
+    0xcc25c62c, 0x2cc1ddbc, 0x86460ce4, 0xe38710cd, 0x469339dc, 0x3820b3d9, 0x7c997c42, 0x3161e996,
+    0x0e6d36e8, 0x6a59441c, 0x941a12d0, 0x13c57e71, 0x9e79b6be, 0x17f1aa0f, 0x3e5c3218, 0xfced7cb6,
+    0x51a02493, 0x792a47b4, 0x8ab2980e, 0x22de3e46, 0x3676457a, 0xd61e00e8, 0x28d9c958, 0xa8c65a20,
+    0xbad8775c, 0x97549475, 0xe11b84c8, 0x3a07f8c2, 0x7a4f9fd9, 0x9147855f, 0xda423853, 0xa4462055,
+    0xb2d43d8f, 0x75c8b138, 0x38c60fc7, 0xa6a52676, 0x34873de2, 0x35e7cc5d, 0xbc7d7891, 0xa293d549,
+    0x00000000,
+    0xad8eb42e, 0xe8f892fa, 0x7a77547c, 0x7419943f, 0x020b9e16, 0x3a46dab2, 0xf8deceb5, 0x3365b157,
+    0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000001539140867046659344229650003911859914\
+                         26092731525255651046673021110334850669910978950836977558144201721900890587136 */
+  { 0x00000000,
+    0x51ddf7fa, 0xc165701a, 0xc427c6bc, 0xdd090449, 0xd56f9b14, 0xe80fd116, 0x080ad5f6, 0x97c2f372,
+    0x14784d36, 0x4574fbb4, 0xba7fcca6, 0x1e024a79, 0xa7c3a6d6, 0xa8a990f5, 0x1306431b, 0x2498b864,
+    0xcec82040, 0x42e0a199, 0x0404f055, 0x8d070f7d, 0x2b604b8c, 0x52a0e4bb, 0x59b83d22, 0x6013e0e3,
+    0x3acf3da0, 0x84429b62, 0x20e04212, 0x69d5626d, 0x815c2414, 0x5b643547, 0x4abb9130, 0xd3cd984a,
+    0x3d9912fe, 0x303e7f50, 0x76429d57, 0x62380af8, 0x6fe91c68, 0xdf16ac19, 0xc66a5fe5, 0x619a43d1,
+    0x63523956, 0x6778aea9, 0x682447cb, 0xd255fb72, 0xd62cb65c, 0x3e02c4f1, 0xa0851f51, 0x5b958481,
+    0x05a5fb58, 0x1e319ec7, 0xe13fb5e7, 0xa4e63117, 0x35849bf3, 0xb085e864, 0x00473ca1, 0xc3d1bd04,
+    0xcbb5d8ce, 0xdfe09b77, 0xa0d334c4, 0xbf5a8091, 0xf0a742af, 0x95519ac4, 0xc3fb1faf, 0xa4c923e5,
+    0xdca446be, 0xb274c4fb, 0xe4101d06, 0x4bb1c12f, 0x694c4224, 0xc21e49a8, 0xa4a03e5b, 0x816a4254,
+    0x8284b2f3, 0x0201c239, 0x5f831220, 0x409ac200, 0x63f7c9b7, 0x3b72a5a2, 0xd1d0b5c0, 0x893e06b2,
+    0x15e9899e, 0x46b41a08, 0xbc49ee29, 0xddead9c8, 0x54a5f48e, 0xd0b26997, 0x7d6035c2, 0x502d8718,
+    0x2e1e556e, 0x9f6a5410, 0x5eb9b662, 0x9dfa060f, 0xe17ee20e, 0x9a12602f, 0x8b02260b, 0xa6258dc5,
+    0x7aa00609, 0xdb55d43f, 0x20929dca, 0xb54ba606, 0xa6adb9a6, 0xc419b271, 0x0c207f38, 0x81829354,
+    0x8b8ac54f, 0x993f1d7d, 0xefaed952, 0x7218f357, 0xb3dc16a4, 0x41ddf00d, 0x2b4f7ade, 0x2cdcc85a,
+    0x99501360, 0x03f88b87, 0x075102f0, 0x580ab1d6, 0x172460e1, 0x0e1b3dbe, 0x89b55063, 0x0c865228,
+    0xd028bb70, 0xcedecef3, 0xf831b403, 0x3d947097, 0xe0eda76b, 0x6c8fd15f, 0xd803641e, 0x49404246,
+    0x7e34a455, 0x8f4c3256, 0x6fc1c97a, 0xf117c646, 0x0ed09a94, 0x2149bb82, 0x8e2950ff, 0x52a6e639,
+    0x716aaa54, 0x48f57b77, 0xe9bd86c8, 0x9502f074, 0x648a9b45, 0xf9ed712d, 0xbec092ea, 0x0fce9f90,
+    0xd02718b6, 0xe0eb88ed, 0xa4ff5744, 0xa18c815d, 0x7911631f, 0x1ffaf7fb, 0xf4957506, 0x223e9aee,
+    0xd4acd241, 0xa510ce61, 0x8006e69e, 0x4f58d667, 0x0178e63a, 0x25cd80d4, 0xb15aeb53, 0xc6c784ef,
+    0x84772921, 0x4caa0681, 0xcd76a80d, 0x1e0e3053, 0x71831254, 0xbc397eb4, 0x4e377695, 0x8419f93e,
+    0x21a06c32, 0xe46901c5, 0xc0e27767, 0x8a3edf85, 0xc4b6f379, 0x24c2880c, 0xb9d3b9ea, 0xa2f36416,
+    0x5204a80c, 0xc8fd9fbc, 0x3117ea7e, 0x926203a8, 0xf91ec0c4, 0xcdfb3ac0, 0xb683ab83, 0xd49a4e90,
+    0x64c3641e, 0x785633f2, 0x073d2fc8, 0x8adc531e, 0x75ce126b, 0x8c78ddc9, 0x79ef68b6, 0xa11adb08,
+    0x75798726, 0x31e819f7, 0x91731f56, 0x8a6ba174, 0x9bbcefa2, 0x338a9324, 0xbf7215aa, 0x6c8a0539,
+    0xdad240a4, 0x75c7e330, 0x2353d72a, 0xc6b59da1, 0xde0461ae, 0x25438cb2, 0x797de8be, 0x848922f8,
+    0xc3596aeb, 0x285417e1, 0x071c5080, 0xd663274e, 0xc72ab134, 0x3b408c2d, 0x3476c5d6, 0x921cac2c,
+    0x2037ebf0, 0xcc4eb0da, 0x8359c8b4, 0xf113007b, 0x56999854, 0xe56c5f2f, 0x39583414, 0x3624d2af,
+    0xfcc16184, 0xd1dfe862, 0xeb5f1062, 0x3574d86e, 0xd0491b1d, 0xd09341e4, 0x890b2d03, 0xbd32ecad,
+    0x3ce06249, 0x15487a57, 0x2727d33f, 0x7ff1bc63, 0xec80adf7, 0x80d48e30, 0x10504aeb, 0xdd2d0ef6,
+    0x31c3be6c, 0x6b50c4e8, 0xc0a2dd14, 0x5dd6a317, 0x1d26f6ba, 0x3f098b07, 0x259a551d, 0xacee1fcd,
+    0x5d3a83b3, 0x169b56ee, 0x6eca5efc, 0x51900f5b, 0xa45a7956, 0x6cc7b915, 0x612288fb, 0x11efbf05,
+    0xeafe44f2, 0x138f9d18, 0x2b832f96, 0x1b2d7bb9, 0xc9770d54, 0x8a1ee845, 0xc9eebf86, 0xf002bbcc,
+    0x87141244, 0x4a12d770, 0x699f78b5, 0xc5a40f46, 0x5979fc35, 0x4d00c4f7, 0xe605b376, 0x26fddf83,
+    0x2c0d7aba, 0xa01a9645, 0x9fdee041, 0x1672836a, 0x0f6e22d4, 0x7860f5ae, 0x10207acb, 0x82fc5d7f,
+    0x93bb184d, 0x47298834, 0xac65ce4c, 0xcf34c271, 0x451f97d6, 0x10f4e4ce, 0xf59d6889, 0x9484d04e,
+    0xfa593cd6, 0xd4dca3fc, 0x481f6ce8, 0x584de7a0, 0x8141af7f, 0x469a2937, 0x67148626, 0xdd128570,
+    0xa2b6c729, 0x86bad65f, 0x8e730cd1, 0xeec69c04, 0xf403b617, 0x1c1b9f99, 0xcef93787, 0xc8d42da3,
+    0xf1b993e1, 0x52a8802b, 0xd01420bc, 0xb4e4308e, 0xc65093ca, 0xb60e5259, 0xdfd77a14, 0xf74c6a21,
+    0x93382225, 0xed9f4eb3, 0x8ab5301d, 0x5000a95b, 0x5a64fab2, 0xf81080da, 0xe59a244d, 0x939e2969,
+    0x628a0da2, 0x7a0f54cf, 0x94e2abe5, 0x028c8aed, 0xb08f616f, 0x758c9293, 0xb0c47314, 0x12999096,
+    0xdc3e5e25, 0x3382bff1, 0xa3d8dc41, 0xb8dc4515, 0x7a751024, 0xca3b72ef, 0x13296dbd, 0x661c345a,
+    0xdf73b33e, 0x7243bde0, 0xe7121e99, 0xdca83e29, 0x6fed50fe, 0x4231eff7, 0x4c2b430d, 0xadb1b920,
+    0xa9c11171, 0x3a13970e, 0xf985eff9, 0x948c45d1, 0x5f585a20, 0xbbcd1722, 0x247ba4a4, 0x92b26b0a,
+    0x3f1ca992, 0xfa51decb, 0x9bd7c512, 0x4bdb4f37, 0x3d0b5df7, 0xc4465e3d, 0xeb5dd655, 0x5fd9c45a,
+    0xc3853535, 0xc9984d6d, 0xe994be04, 0x25c7a58d, 0x35153c79, 0xb07fd833, 0xbe86a677, 0x1a2f2454,
+    0x42029707, 0xf93abde6, 0x0398bf6d, 0xdc68dc78, 0xb91226a8, 0x8e80c78d, 0xd001c6b7, 0x375af5c7,
+    0x454322fd, 0xf8418459, 0x45295aec, 0xa5b7535e, 0xb24d99a2, 0xcc402ede, 0x4125f8fb, 0x2a86d582,
+    0x71de436a, 0x991ae0c6, 0xc45ca8e2, 0x0ed43ff3, 0x902a0462, 0xa9f10da3, 0x5e59fdde, 0xc67d2f8c,
+    0x479f1981, 0x14787c65, 0x3c25b7b7, 0x642366ca, 0x9e7c2c45, 0x5f7f02d7, 0x7f46427d, 0x4184b9ba,
+    0xc7259a1b, 0x0be9b9d8, 0x84628461, 0x35ae7b7a, 0xec6f07d3, 0xa7a38156, 0x46171613, 0x2f86aa71,
+    0xf8fed39a, 0x488fff77, 0x732f3fd4, 0x98d98491, 0xa9d08ceb, 0x27a96a26, 0xdd49e30b, 0xeecf54c2,
+    0x45f09cd9, 0xe4e3730c, 0x1b09c03d, 0x1f251191, 0x7a4f2a6a, 0x1862a68a, 0x69f190f7, 0xbbbdd710,
+    0x6aaff0ce, 0x934577a9, 0x23ce4fac, 0x804869d7, 0xa3196525, 0x5d490a41, 0xd20dad0b, 0xc664d7dd,
+    0x11c40401, 0xe788e2bf, 0x0a134b93, 0xcde3e2ed, 0xe5399b6e, 0x073da51a, 0x97681f34, 0xfbc2cf72,
+    0x0a0108bd, 0xbac9ac32, 0x0b8923fc, 0xf87e6dca, 0xc0f4ca19, 0x1ed3e8b4, 0x0e4b8642, 0x6a8bee47,
+    0xd97e8396, 0x1e339873, 0xe38913dd, 0xe9bdca30, 0x7e511fe9, 0x4eca7b98, 0x740ae53e, 0x7f81868a,
+    0xe74654ee, 0x918a4f5c, 0x357e7869, 0x23985865, 0x3e188cc8, 0x171aa4f2, 0x68c8c2e7, 0xc4fa4ce0,
+    0x6f5a5af5, 0x4ee014d2, 0x3c7bf88b, 0x9da143ff, 0x760b332e, 0x978d2476, 0xaa705912, 0xa63a91ff,
+    0xa4a74ffa, 0xc21b8ad1, 0x71fa478d, 0x9ffad7e5, 0x73970af5, 0xb1d27d4f, 0x06a4c81e, 0x2f9c2c9f,
+    0xacbf89c6, 0x23d011bd, 0x1af9a89c, 0xc6cf2796, 0xce5989a5, 0x69a0d98e, 0x4a2d7104, 0x17bccedb,
+    0x09c8c998, 0x3e713a3d, 0xfb909c30, 0x58e3d726, 0x8f7e7987, 0x6675f223, 0xf4eb4609, 0xa0702ead,
+    0x99478b56, 0xd26b07d2, 0x6a2ba7a4, 0x46fb5a41, 0xc589336d, 0x77163a7c, 0xbfb7c722, 0xcb42f964,
+    0xc45640e7, 0xf5726c0f, 0xe04f8ea9, 0xcaf921e9, 0x208152b6, 0xd3cf917c, 0x3c2ec390, 0xf651a43c,
+    0xe379cf44, 0x8965370a, 0xc8c9aee5, 0xc2ad5fda, 0x78d4411a, 0x37a6687e, 0x853dfb4b, 0x2458f43e,
+    0xfa28e6bd, 0x41494a5a, 0xb92e44a9, 0xc9d4da30, 0x288097c2, 0x4fac58da, 0xc604d7e8, 0x58d37fb5,
+    0x6bb8b528, 0x1c095c35, 0xda57d5a7, 0x0c793bd7, 0xe8b90ed8, 0x08519845, 0xfbcb50ad, 0x26b40d23,
+    0x0669ff4f, 0x4497fada, 0x00e61b01, 0x195f4f14, 0xf3e66207, 0x4ba0226a, 0x517aa5d8, 0x33cdd78b,
+    0x2f6a0b47, 0x3b380d3e, 0x60851eea, 0x7fbffb6e, 0xd7a982b2, 0x4b52b41d, 0x7c42eb05, 0xe692fe8c,
+    0xfe181981, 0x17b2639e, 0xf43f1e0b, 0xd9e43110, 0xaba60208, 0xf77fdc92, 0x2f9f36e5, 0xf91927d7,
+    0x68a14ad1, 0xd6b224b6, 0xf8c61578, 0x4659c967, 0x82e5bbbb, 0xcfad5f5b, 0x7253ba3c, 0x5031ede5,
+    0xfef6e171, 0xa5ec6e99, 0x46ccb4b1, 0xf4f085e5, 0xca09f966, 0x795259ae, 0x515c4812, 0x55f65241,
+    0xc403ed73, 0x2891ac5d, 0x4d47c5cc, 0x3d4c7717, 0xcd37bcf5, 0xcea2ebdf, 0x7c259970, 0x42770b38,
+    0x85001300, 0xf578857c, 0x68f5d0fb, 0x1a358711, 0xc89ee498, 0x50c6853b, 0x7bc771b2, 0xc90c58cf,
+    0x2ea30edc, 0xdb536012, 0xa36889be, 0x8742c946, 0x2796560a, 0xb37b6269, 0x6c0238a3, 0xa5341303,
+    0xaa08a9c5, 0x9b828eed, 0x3b059768, 0xcb5521f1, 0x3b856a5a, 0x2748672d, 0xc58d6d29, 0x8cd88dc4,
+    0x9954409b, 0x5a33538f, 0x4cdef724, 0x3f3fa32e, 0x40db8836, 0xb635df29, 0x2f155ff2, 0xb20288c0,
+    0xa1d39516, 0xee64e9cc, 0x080295b2, 0xa5569627, 0xa8363d31, 0xffc8b0b4, 0xb755e9d8, 0x59aaf2f2,
+    0x22383e98, 0x3dc5643f, 0xfffe3419, 0x8c8c5133, 0xa5abbf95, 0xf7e37961, 0x1031368b, 0x66483af8,
+    0x7551998d, 0x5b790f9b, 0x4f468846, 0xc967860b, 0x954c99e4, 0x1ec6a8ad, 0xb930a35f, 0xa13c1554,
+    0x039b711a, 0x74b73fbb, 0xeb5f89a4, 0xada03e2d, 0x2ed8ab38, 0xb9b2d935, 0xae6155fd, 0x6b74157c,
+    0x1681e361, 0x332ca4ea, 0x79e35de0, 0xb7056c8f, 0x35eaffd5, 0xb5361615, 0x94425aec, 0x38afae14,
+    0x3db61cdb, 0x57df0186, 0x930a283a, 0x6061d1b5, 0xadd1ce6a, 0x221cd4b3, 0x698a4d4b, 0x27ada78e,
+    0xef963208, 0x586d1fdd, 0x84e9cdf7, 0x64751c96, 0x41c6dbcf, 0x1c33a143, 0xd6d2ebb3, 0x821faeb3,
+    0x481d2522, 0x71d9eed7, 0x89fe1450, 0xc2345094, 0x556ac006, 0x8cf6ef3a, 0xb87d4394, 0x0eca4174,
+    0x86fe9863, 0xa5d918e9, 0x80b10002, 0x729fb6cb, 0xccff84f4, 0xe70d29f9, 0xb3ca062f, 0x831495f5,
+    0x6f75323a, 0x3d8038ac, 0x7492b82e, 0x81eaff4c, 0x6b90f085, 0xe5d5526c, 0x7ac5cfe8, 0xb4ac0e85,
+    0x291de14c, 0x0fff3692, 0x61972daa, 0x4671a58a, 0x8b351e81, 0xed5dcba0, 0x2272c9c4, 0x048a4f18,
+    0x471d76bc, 0x693b881c, 0x975ace36, 0x323c530e, 0x35662914, 0x0c17fec1, 0x5119c2dd, 0xc501b973,
+    0xf757a809, 0x90e90276, 0xa9107381, 0x678e13ba, 0x78dc8f87, 0x119639bb, 0x51421b40, 0x23a469bb,
+    0xbc1d86c3, 0x6cea24fb, 0x7f3e7636, 0x82f27748, 0xc50bc595, 0x94fa0567, 0x1b36493b, 0x586b378c,
+    0x94d565bb, 0x9c461a35, 0x6a4a81a7, 0xee8307bb, 0xbdab9848, 0x49d5616c, 0x46d51712, 0x489b13b5,
+    0x8790ee83, 0xf39ff7f7, 0x35bb6375, 0xa24742fd, 0xdf5a548a, 0x6afb59ef, 0xfde0bd5d, 0x1e0fd7b7,
+    0x12de3e16, 0x88bfcc1d, 0x5608ef10, 0x7ce0af5b, 0x7b12f7bf, 0xe0cac60b, 0x21969d27, 0xa5adbc43,
+    0x96d40bdc, 0x3615117c, 0xea77c490, 0x81aed19f, 0x7cfbd04a, 0xa90e5bf5, 0x35d8d76f, 0xc2e92aa3,
+    0xb07be42c, 0x7cad94a7, 0x1e14ab5b, 0x3f37d189, 0x0f9a331e, 0xb51b3446, 0x231efadf, 0x5f44ed61,
+    0xe76e6f1c, 0x03129147, 0x6931e729, 0xbc7e50fb, 0xc84d8241, 0xf7c9fdc0, 0xdca51d0f, 0xd9b20e6b,
+    0x8e801365, 0x22742ea6, 0xe6de3087, 0x3abd8773, 0xc48b8afb, 0x268c0d6e, 0xb9c9ce1e, 0x57484ad7,
+    0x831020dc, 0x427bbc4f, 0x69464d96, 0xbb63f676, 0x6f52504d, 0x1181e863, 0xebf550d7, 0xe40c8f89,
+    0xc6ce478c, 0x2c8e7577, 0xcc43374a, 0x504d83e7, 0x129dd5ce, 0x8c6bb7cb, 0x7d673401, 0x4179006c,
+    0x2accfc5f, 0x097b32b6, 0x2f33d73b, 0xc6268889, 0xa3d8818e, 0x8ef52fb7, 0x3bcfbbac, 0x18c805f2,
+    0x9aed928c, 0x68e948ea, 0x09efe889, 0xe875749b, 0x0732a1a3, 0xe24ce89f, 0x5f482f3f, 0x6b02ea26,
+    0x41698ab1, 0x552e6b3e, 0x5c1ab236, 0x1eaeca27, 0xb0e7ac0a, 0x4875448d, 0xbe1a7de2, 0xa15d3559,
+    0x4ab0be64, 0x4691bc45, 0xab585586, 0x0f556089, 0xd23b5eb1, 0x1a05ef3a, 0x1230d06a, 0xef13208a,
+    0xdbad9d75, 0x5a533bf9, 0x21af9ec7, 0xe50f533d, 0xf480c340, 0xe2392e2b, 0x9bf0cf37, 0x08970de2,
+    0x28267dd6, 0xf1b3b9b9, 0xa373a0ae, 0xce8a0021, 0xc23ef7d4, 0x31d1e6f9, 0xdb965a3e, 0x18d3bb0a,
+    0xd2df9f25, 0x8515f81c, 0x596e62d7, 0xcb853de9, 0xe2e8950d, 0x7001c16f, 0x6ca4013e, 0x10b49f74,
+    0xa6562b4c, 0x3fa5ada7, 0x689e0c7e, 0x61f16696, 0x6742b21e, 0xdb15f3dc, 0x57d335aa, 0xb9d907bd,
+    0x8f75626a, 0xd43f0cc3, 0x9c7aad56, 0x07583192, 0x56f15de1, 0x8e090534, 0xf0b42733, 0x3d316139,
+    0xd69fff0e, 0x9f20c5af, 0x1133ea95, 0x42f8cb13, 0x51df3efe, 0x5e59b4c2, 0xacc582b8, 0xf5330dd7,
+    0x1ea89070, 0x9e3b42cc, 0x41f6f2db, 0xf8b39bb7, 0xd07fdc78, 0x960d860a, 0x3117d024, 0xc3a4dd39,
+    0xa7172964, 0x5ce314cf, 0x8959862d, 0x1e984d0d, 0x2e2f21e2, 0xa7a99bae, 0x12952fd7, 0x9993474b,
+    0x4f219c25, 0xe1719a40, 0x7eec7092, 0x571bb81f, 0xb1eafd73, 0xe644aabe, 0xed159291, 0xfe0341fc,
+    0xf50abba1, 0x8f1d8725, 0x6f894f12, 0x62ad4ad6, 0x900150ce, 0x1568524b, 0x3992a020, 0x62d4a380,
+    0x497dfbb9, 0xc133516f, 0x8167ca12, 0x9f6a44fb, 0x31aa87cd, 0x2ce9ea01, 0x6735bd8b, 0xb7a83daa,
+    0x0167c131, 0xd431caea, 0xcaaccd5d, 0x3aac9873, 0xd5e75267, 0x72178a25, 0xf1a20208, 0x197216fe,
+    0x2d725949, 0xe5c28a09, 0x66e3dc50, 0x20d367a6, 0x8ae3523e, 0xab619526, 0xd6b342f1, 0x85020b9e,
+    0x41fb4a5d, 0x0d4ce332, 0xaa92bfa2, 0x8929dcec, 0x0a3e71f0, 0x7eb16846, 0x1f4410eb, 0xb66721b8,
+    0xb5830dbe, 0xabc7f85f, 0x9006527c, 0x545b6c8b, 0xbca2cc88, 0xa1bceec2, 0xfcacfed0, 0xf62cf658,
+    0xdd794968, 0x72735e4d, 0x7fe10d16, 0x61465dbc, 0x1e3ee77f, 0xb8ffd9d5, 0x6259de69, 0x2397ec0b,
+    0x357bdab3, 0x1545509b, 0x06e2b6bd, 0xa50d921c, 0x18e077f9, 0xe7fcb74c, 0xb0026b94, 0x819680e6,
+    0xf199aff2, 0x178747dd, 0x9c9bfcc0, 0x29919c33, 0xc08169d9, 0xf076b90e, 0x2dd9826e, 0xc79b8c60,
+    0x6556efdf, 0x4a1456b0, 0x8b4f63e6, 0xd1161b62, 0xf41fd901, 0xd39784de, 0x390e6bb5, 0xc7cfffe6,
+    0xe70142f9, 0xd5c90e53, 0x394b7864, 0x9b53bb5f, 0x26bd030a, 0x47e11100, 0xbd9820b5, 0xc881b667,
+    0xe9a5a15e, 0x23694be8, 0x96441c03, 0x563f93a9, 0x9041bb31, 0x239f736e, 0x6b447d83, 0x04212774,
+    0xb25e69d0, 0x8459fe48, 0xd8d9512b, 0x97c0a103, 0x51d4884f, 0x5852a5d1, 0x2a7af3be, 0xcc0267b2,
+    0x00000000,
+    0x56c75a16, 0x747c497d, 0xbd3baa3e, 0x3a0cca1f, 0x0105cf0b, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab,
+    0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000769570433523329672114825001955929957\
+                         13046365762627825523336510555167425334955489475418488779072100860950445293568 */
+  { 0x00000000,
+    0x4d6059da, 0x6717f210, 0x46d42f0e, 0x1e3cde82, 0x60e39b9d, 0xc80e6d29, 0x4c353891, 0x09a2b89b,
+    0x6dee5571, 0x64e337e1, 0x828be484, 0x5328f68e, 0x93da7623, 0x7a9b7135, 0x26243d48, 0x3500d072,
+    0xaab742fd, 0xb4e1cbed, 0xaa44d4b6, 0x74487533, 0x27967f43, 0x9554c059, 0x8abec732, 0x839ed8fe,
+    0x9e32ee94, 0xa1b55c84, 0x66928ecf, 0x2d3c7e1f, 0xa8f21db8, 0x3fa4371e, 0xbcfd9729, 0x9a305afa,
+    0x0f39bd1d, 0xc31d5b96, 0x0cdd86d7, 0xb6fd9505, 0x1c79d5c3, 0x881a7904, 0x5175d5d6, 0xd55441d5,
+    0xa15b91d7, 0x58b0fd80, 0x083f95aa, 0x48e2dbc9, 0x57404913, 0x14b07725, 0x25e5bff7, 0x3f65d212,
+    0x5442310e, 0x7f6dc0d7, 0xa7dfcfcc, 0x04b1142c, 0x6d54bc87, 0xca21f77e, 0x05bfb09e, 0xf22b0516,
+    0x702a8942, 0x6833baf3, 0x9b4e2046, 0x55ad204e, 0xa40a5508, 0x3cd14b06, 0xc24f25c2, 0x4dbb595d,
+    0xd9d2f46c, 0x00d99a85, 0xd434129b, 0xd9503f40, 0x2cedba0c, 0x4f4be825, 0x8465669d, 0x34850981,
+    0x0bdb80eb, 0xfcf64803, 0x7f1831db, 0x04714d1c, 0x82fdcafa, 0x8e8ee108, 0xf603e3be, 0xf0fc3d51,
+    0x252eb7fe, 0xe4324979, 0xb54c535b, 0x031631dc, 0x644c7f03, 0xfef71e1f, 0xe2a828e2, 0x49e5b217,
+    0x4b97ac02, 0x62301074, 0x3aba68ef, 0x2caa5489, 0x3187e161, 0x4431ee71, 0x77292339, 0x6eadb194,
+    0x3e283899, 0xd7d81da4, 0x82154f60, 0x72058a71, 0xafc321fb, 0x4c5bac96, 0x527d4941, 0x5b5d6c99,
+    0x92967de4, 0x50e241e7, 0xfc8dc74e, 0x9fc00f7d, 0x4d7f5358, 0x70608194, 0x7deeeeaf, 0x441436bb,
+    0xb4a22fb5, 0x8920005e, 0x5208f032, 0x778c97b5, 0x799bddff, 0x8272e938, 0x321ad994, 0xf3c7f1c9,
+    0x91d88c5b, 0xb7feb5ca, 0x7efb22f6, 0xa23c90ad, 0x31d2c7de, 0x5928f527, 0x9141f705, 0xed582d9d,
+    0x1bbc9139, 0xcaeb3eef, 0x708704b1, 0x9e64da14, 0x4d008cf9, 0x9456b013, 0xd4d8db7f, 0x97d72e80,
+    0x9e7b0400, 0x437f5386, 0xebad3145, 0x7b2c23ce, 0x587d4b23, 0x8b7265da, 0x69fe000b, 0x2916f237,
+    0x54e57e80, 0x1c6e180c, 0xb3ac5d95, 0x4174da69, 0x3bc078e7, 0x3bedf051, 0x3ab88883, 0x707d169f,
+    0x3b56f0fd, 0x5d14e379, 0x7e2856f3, 0x0da62711, 0x69ff2528, 0xff2b19ca, 0x3a2a8a7a, 0x1a434d96,
+    0xcc1b75f2, 0xe5f459b7, 0x9c3f4bc5, 0x5b9c698b, 0x6e8111e2, 0x91943312, 0xbd1d00bf, 0xc3ae0b9a,
+    0xd04ab828, 0xae938198, 0x4265334d, 0x4ec2607f, 0xfd6be7df, 0xd7776bc3, 0x81f0cfcb, 0x2e9e2999,
+    0x4d5dc6ea, 0xe99c67dd, 0xa7561798, 0x027cf234, 0xb4312765, 0xf31ee88e, 0xef93c94e, 0x4e28edd5,
+    0xc7e24c14, 0x5e44c940, 0x8512092b, 0x0652659c, 0xe11e8413, 0xf8fa7b13, 0xe9fd5943, 0x610a6027,
+    0x18cb9b54, 0xc067ceb2, 0x87a7202c, 0x7c9dc568, 0xd9974cc4, 0xf7cd60c5, 0x97959674, 0xa2678b82,
+    0x52483fd9, 0xa0d23536, 0x38338ffd, 0xa280a28a, 0xc95a8f54, 0xbd97e7d9, 0x2c7eb4b4, 0xa7f1b503,
+    0xb107711c, 0x1c576ab8, 0x3b107dc8, 0xc819528d, 0x1db028f3, 0x5e9aea27, 0x492a3502, 0xf72661bc,
+    0x1b8c138a, 0x3e063494, 0xb50d6ec9, 0x4cf30e13, 0xba3d8bfc, 0xdaed016e, 0xfc279e9e, 0x15320066,
+    0x30e622b9, 0x761c274b, 0xe77530ca, 0x8dbfb375, 0xb4e34fa9, 0x7adc157a, 0x7f562f3f, 0x974e71c8,
+    0xcd576d29, 0x9ace63a8, 0xcd8da99e, 0x10c5fb68, 0x4cbadece, 0x4757e5ea, 0xe536120f, 0x7bf3d298,
+    0x1698404d, 0x69d89d19, 0x894aa3e6, 0xbfe26d73, 0x991849d2, 0x2a398cb0, 0xc3972842, 0x82a90a11,
+    0x11e7a4f8, 0xb01bebc9, 0x37004f83, 0xd16d519b, 0xdbf75f40, 0xc62ad3a5, 0x1d73f1d3, 0x79ae33cc,
+    0x4d183f46, 0xf7df6663, 0x84f00bdb, 0x8bc63fea, 0x63b036ac, 0x547e8ba5, 0xb9539d29, 0xbafe7f63,
+    0x14885865, 0xa4caba43, 0xf60f1c60, 0x7f7b29d1, 0x0f169f22, 0xfde4864c, 0xa9f3956e, 0xa3c1733d,
+    0x9367c91a, 0xe0b687ea, 0x4bce7812, 0x6a1c3628, 0x6b800ef8, 0x9cea528d, 0x5e7c2a44, 0x833a7bfe,
+    0x6162763e, 0xb70adc33, 0xdc742cfc, 0xad82f1ae, 0x15777615, 0x0e88de91, 0xe390c557, 0x07ad4cf5,
+    0xc691a7c7, 0xc954062b, 0x57580e5e, 0x389eac9c, 0xbc0e9a23, 0x92f5ffb7, 0x8cde26b5, 0x81d25020,
+    0x005c713e, 0xe997dbe3, 0x2d47caa8, 0x4c57d70f, 0xc5eeebf4, 0xde2852f5, 0x5e8f98d2, 0x0f94b7fe,
+    0xaaf9dc93, 0xba5e742f, 0x5a08526d, 0xcf49a582, 0xdda84e88, 0x41ed985e, 0xc7d58191, 0x543184d1,
+    0x044935c5, 0x18e73973, 0xb5405ef9, 0xa1328e90, 0x97b36f84, 0x8d00fae5, 0x6b4c5d65, 0x922af1d2,
+    0x9c0a5d1b, 0xe1ee9c94, 0x51ee5501, 0xb62f95d1, 0x04a630d1, 0xa7538b3c, 0x4f72a8d0, 0x3076ed81,
+    0xd5701ba7, 0x7851318b, 0xf94cb822, 0x25be17bb, 0x105c69de, 0x51b95a29, 0xbd443192, 0x9fb9c879,
+    0xe83cb20f, 0x2afc5c2c, 0xa8086576, 0x7eef647b, 0x30ff5dfd, 0xfcf5c312, 0x3ca0facf, 0xeacdee01,
+    0xa036c3a4, 0x29d31271, 0x0b8ebe3d, 0x12b51eb7, 0xeda55113, 0xc40f03ed, 0x82fd7a56, 0x5110d4a0,
+    0xe87514d2, 0x763b4cf4, 0xb0b65f0e, 0xbb8c0e4c, 0xbd69d23a, 0xc42a607f, 0x7aed6b2f, 0x7af15313,
+    0x6dd6a305, 0xac7d876b, 0xe73f8169, 0xb6db18b3, 0xa9416382, 0x1dcb9a72, 0x62f79779, 0xb1421f71,
+    0xd6dc8178, 0x08843e78, 0x4f9ef459, 0x0705a292, 0x237ccaae, 0x9930662c, 0x74527b40, 0xe60eb06e,
+    0x3ba00107, 0x77327ea4, 0xcfd89704, 0x047c2c04, 0xd40276a0, 0x684e2dab, 0x2057d871, 0x6f72248c,
+    0xe0ecc502, 0x3ca0d82b, 0x961135c6, 0xe067e7e9, 0x5ad9feb1, 0xc621195f, 0x5dbace4b, 0x92df2b18,
+    0xe3884357, 0xe6db146a, 0x96d4d652, 0xf77f7f94, 0xbb896354, 0xf22c6230, 0x425650bd, 0x33c4659a,
+    0xe3c42333, 0x1edfc947, 0x2252bba6, 0x42377432, 0x58923a73, 0xafe285e8, 0x396f142a, 0x8ec03420,
+    0xcce71832, 0xcd1c583c, 0xfaf84f3a, 0xc1b27d50, 0xc5c683e9, 0x7b4be113, 0x0a5deecf, 0x02a422f3,
+    0x4938cf80, 0xdc8ba675, 0x9f341682, 0x3b070a2e, 0x77b48386, 0x5a95e09b, 0x89b942fb, 0x89dd851b,
+    0xf702ad6b, 0x0c4fed85, 0x7a2d459a, 0xbefb4a51, 0x44442a57, 0x3145ba1f, 0xf0414999, 0x89ad919c,
+    0x62429992, 0x45af3977, 0x33343cf8, 0xfec975c8, 0x278a7a4c, 0x6c48620e, 0x3f05f9c3, 0xf986dc36,
+    0xa4ddaf0e, 0x53ed2720, 0xe557234e, 0x13bfb7f2, 0xab7aa397, 0xb7ddaab9, 0x9d1f33b6, 0x7c278054,
+    0xc3dba863, 0x2195f357, 0xbe9d7643, 0x010bcbab, 0x18bf6438, 0xfd6d884c, 0xb84b6391, 0x8597e475,
+    0x7f3ac645, 0xb6e00541, 0x9fe65b99, 0x4e10f746, 0xc73dcd72, 0xfdcd002d, 0x7692243a, 0x36495040,
+    0xa92e1a12, 0x7cb58aa8, 0x4021de40, 0x8e368303, 0x1e62cde8, 0x9ac7be86, 0x8524a194, 0x8c6c9b73,
+    0xa35db8b9, 0xf1910240, 0x39df75e1, 0x7cb64d5f, 0x1d6c37aa, 0xfcfc15f1, 0x20a84ec3, 0x62cb9124,
+    0x69aa7a72, 0x70d109dd, 0x1fb8fadf, 0x6f2e35c3, 0x31fb093d, 0x3d3659f7, 0x09e633c5, 0xbb8794a4,
+    0x6d341e43, 0x09c93217, 0x349120f2, 0x28a3528a, 0x4566c40d, 0xa59c91bc, 0x929687ae, 0x34909bff,
+    0x50c1ceb7, 0xef361064, 0x4cd8de08, 0x15ea6e4f, 0x76342c6c, 0xdbf33eb8, 0xdb4a5b90, 0x427d65d6,
+    0x4be3cc95, 0xbf9cedcf, 0xcd55db38, 0xba4824be, 0xbc51096e, 0x1c9179e2, 0xe30f5110, 0x7314c11a,
+    0x14312c0f, 0xf1e32587, 0xc06857d5, 0xd063e6ee, 0xd0e9ee8f, 0x92e31c6f, 0x3a899710, 0x2ea91e9a,
+    0x8380900a, 0x9783d6eb, 0xd5a1edff, 0x7500d30a, 0x8e245d12, 0x92d21a17, 0xa05a506c, 0xe4baa024,
+    0xdb8616d4, 0x4b6d2ffb, 0xb31d888b, 0x768e8001, 0x49b3dffe, 0xe627c976, 0x1844db15, 0xa425a301,
+    0x9998d21c, 0x6bdc194f, 0x587402c3, 0xbfb27572, 0xd6ea3af2, 0xbd638dbb, 0xf4a372e7, 0xa99e4855,
+    0x23a645fd, 0xbc627e42, 0xf84c4c57, 0x26c1f2f8, 0xc85cd242, 0x71087fce, 0x60be2462, 0x7533e1b2,
+    0x00123c7c, 0x9064f9b9, 0x277e9a25, 0x5301f22d, 0x05257319, 0xaffb73ce, 0xa3b1029b, 0x14e62d1c,
+    0xf32c23c7, 0x6d01dbbd, 0xcd7f37ae, 0x62e0c4d9, 0x264c2070, 0xf3777500, 0x271cacfc, 0x39d67ff0,
+    0x0cc26ec6, 0xa470f1ac, 0xe7c5f2b8, 0x5ce191a6, 0x52907ce6, 0x6f9c7fe9, 0xad04271d, 0xcaf5d834,
+    0x15edca50, 0x47afe7ef, 0x1568b464, 0x692e4306, 0xd087168c, 0xe0e93d6c, 0x4b138e08, 0x3cb40615,
+    0xfcb889ab, 0xa13d4b76, 0xc93d19b0, 0x79394559, 0xe90e7d59, 0xa386ec05, 0x1acddb95, 0x64a90702,
+    0xb5866e37, 0x16f4cdf3, 0xc2a08132, 0x4ec0ed63, 0x1187219a, 0xd26e2a03, 0xa2398edf, 0x963e96af,
+    0xfb0666fe, 0xc0edacb4, 0x8270e1f7, 0x48880791, 0x014edf8b, 0x7e4865e2, 0x4952a141, 0x203b081e,
+    0x45a8ec2d, 0x2d31a55e, 0x93550632, 0x681c97a4, 0x6bf9ae57, 0xf0368068, 0x8e19c8b3, 0x09ac6d4e,
+    0xd58ab2ec, 0x3858ab88, 0x0c403773, 0x2cfbaa3c, 0x22a21a9b, 0xa580f259, 0x9f92daa9, 0xfa5a02dd,
+    0xb529d434, 0xc08d6b5c, 0xd575e538, 0xf6ed0a3b, 0xf2c3cd00, 0x23296cf6, 0xe2793c4d, 0x3811c180,
+    0x821d0520, 0xf67f9b84, 0x1ecddb50, 0x2269ef91, 0x4f52ca4e, 0x406d95d2, 0xafa60a8c, 0xb3a07b8d,
+    0xf6990252, 0x1275e65b, 0xb4770dff, 0x5043d1f3, 0x5a4e7aef, 0x9bd9af11, 0x76dc8911, 0xb8a468f0,
+    0xf304bf80, 0x5b8cc798, 0x4de57f57, 0x6406d725, 0x392e4f4f, 0xf7cc894c, 0x47939319, 0x81407128,
+    0xff36ceab, 0x2e2e514c, 0xbe795379, 0x25c89470, 0x63519868, 0x29a8ba41, 0xbecd8b05, 0x64a0caad,
+    0xe25c2b54, 0xa148203b, 0xa755d9fb, 0x81fd1223, 0xf731cb96, 0x552afaf6, 0xa03602f2, 0x2e07936d,
+    0x10416701, 0x20c0be58, 0xac1af59e, 0xabddba46, 0x489803ca, 0xe1ec09a8, 0x6be21b1b, 0xac29f816,
+    0xe6e07a24, 0x8a639903, 0x3ed8883c, 0x44a1525a, 0xd9e2ae5a, 0xdb168f30, 0x479b06fa, 0x98b30a19,
+    0x2f991805, 0x5e0db5c4, 0x79e00088, 0x49bb051f, 0x73a25581, 0xa442945e, 0x3a745e73, 0x6baed581,
+    0x4a7ff9ab, 0xbfd25d7c, 0x12e964ce, 0xb279d2ab, 0x37b661db, 0x0729d93d, 0x17d4f6bd, 0xda1c00b3,
+    0xfb9fd821, 0xb3a95a9a, 0x0738beb7, 0xd7091c86, 0xbe7d2ed1, 0xaabd8a4e, 0x87649875, 0xff48dde7,
+    0xce542008, 0x423c3e85, 0x56712b07, 0xc7b1e4c4, 0x9430eadf, 0xa7a842d0, 0x04a2bb24, 0x5e9485c6,
+    0x83173d21, 0x43a29f60, 0x323ab3a0, 0xfa7aa18d, 0x73b5e274, 0x23f2bec8, 0x71492371, 0x16805d04,
+    0x52a14be0, 0x1b46ed35, 0x9ee22576, 0x148e6786, 0xf3f2e294, 0x0d70773e, 0x3d436bff, 0xa74de542,
+    0xbf014f40, 0xb514c674, 0x29e8eb52, 0xdbcde454, 0x7d87e60c, 0x78415504, 0x94d99682, 0x4bb2d221,
+    0xe4366fae, 0x73e08ba8, 0xc8a3ab9c, 0xe17c9301, 0xe4fbf688, 0x07f28c05, 0x3131213c, 0x6412640e,
+    0x91d172b4, 0x4bba5e35, 0xe8449c9c, 0x3794189d, 0x520ab8b8, 0xbae16f7e, 0x15db6c2c, 0xd14b9296,
+    0x681c20a5, 0x928ac070, 0x00362549, 0xe41f46b3, 0xe55370eb, 0xd52949e2, 0xc2a5e5d4, 0xcf1c6247,
+    0x79433611, 0xec7fd788, 0x9b682e26, 0x10405229, 0x706f4a6a, 0x5eb2c7e1, 0x3612d6d9, 0x7cda3983,
+    0x293f39dd, 0xa55906e3, 0x27ffebf0, 0xbeadce4b, 0x5195c042, 0x853f8580, 0xfa3eaf50, 0x128dc1bf,
+    0xc4203ef8, 0xb44f87fb, 0x3e7bdb19, 0x5833f1de, 0x722e7337, 0x7e1666f3, 0x7b38b6e2, 0x56067cb9,
+    0x4232ac91, 0x728604fe, 0xa5878fa3, 0x61380a2f, 0xa00ab491, 0x9cf8ddcf, 0xa90e5efa, 0xd06944da,
+    0x3a0f8481, 0xf260f7b8, 0xe2b545fb, 0x687da7e7, 0xff0f9616, 0x38bfb0fc, 0xffaf0cde, 0xa8460127,
+    0x03874149, 0xe012292e, 0x3fd7de80, 0x93591c1e, 0x4614ed98, 0x706c8b07, 0x81fc6269, 0x6d881126,
+    0xbe4452a4, 0x31423779, 0xa69f0e4e, 0xaa02af03, 0x42bc2c9e, 0xbee904e9, 0x9704559f, 0xbe0edff9,
+    0xabb67049, 0x0263a076, 0x74dcdc08, 0x0fb5747b, 0x026e3dd5, 0x6d0f792e, 0x81a1a45b, 0x9e86cc75,
+    0xa9fa346f, 0xa3e900da, 0x532c5382, 0x48d76b8e, 0x6da67290, 0x46451ccc, 0x2bcd3933, 0xe17fbd2b,
+    0x07b6151c, 0xbf31ec47, 0x4144284c, 0xd7cab8dd, 0xa2a05ffe, 0x8a443883, 0xc18ab16c, 0x64e121d3,
+    0xd9077568, 0x3f14acd0, 0xff077aa6, 0xa0ea411a, 0x5a1e9d2e, 0xfe3c9255, 0x093b0800, 0xf99b362f,
+    0x18b2a2a5, 0x303bdcc9, 0xd6884a12, 0xe02af59e, 0x86fe8567, 0x855b994a, 0x0ee62ff5, 0x17a948d8,
+    0x7377e114, 0x0dcc8e93, 0xf32f4ebe, 0x190454bf, 0x6ba0c303, 0xf3bd8039, 0x0578643d, 0x80666d43,
+    0x3d9a511c, 0x4792e3b2, 0xfd7912a6, 0xd4369d0d, 0x04c0b0cb, 0x51dc0c59, 0x17a7b7aa, 0x4d908438,
+    0x9fa620e8, 0x6611c1c6, 0x80fa5ea5, 0x3dce7e90, 0xd357618c, 0x55fa96f0, 0x58492ae5, 0xf50d1b5f,
+    0x094e8da5, 0x97307aed, 0x9b8b1cfc, 0x26dc6d49, 0x1052ac80, 0xc75ee32b, 0x9f2ce31e, 0x8e70f699,
+    0x5c8cb66b, 0xb710ddde, 0x75eea773, 0x759ec461, 0xdfae1724, 0x82061928, 0x984f5d74, 0xb1015cfa,
+    0xf11acfba, 0xdb328d44, 0x5b5c46f5, 0xb4f1a131, 0x87cca725, 0x8ef04a04, 0xd25c45bb, 0x8e86f3f3,
+    0x332fdfb9, 0x6db8ac39, 0xd01ae2e6, 0xcc662ce1, 0xf2bf1733, 0x6eb17b57, 0xb2fba086, 0xc97af9db,
+    0xb764b889, 0x939e74d8, 0x739d2881, 0x5db88066, 0xe9371966, 0x9ea1b966, 0xc788776d, 0xd28a1aef,
+    0xcf0ba1e7, 0xdd8c7362, 0xf759e134, 0x955e66c7, 0xea0bfa2d, 0xbc9c7bea, 0x684a263f, 0x58a4caf1,
+    0x120f63b9, 0xb86d6579, 0x536e6773, 0x97e60cd2, 0xd017f554, 0x0749f03a, 0x9d3d8e4d, 0xdd7914eb,
+    0x6463e3a8, 0x69ed961d, 0x49e98ca1, 0xae9eff2c, 0x276adf88, 0x4e48517e, 0x4ed50d9e, 0x23b5c7f3,
+    0xc92669c3, 0xe7d6a080, 0xbc10ed0d, 0x2fcb3bb3, 0x9b462fa2, 0x7f8f48c8, 0x26d2e8f5, 0xf87604dc,
+    0x32e34744, 0x77595b28, 0x0020d592, 0x1da417ee, 0x4747ca86, 0x10f8ea08, 0x04a2344e, 0xef614c7f,
+    0xa7fb220c, 0x3b3fa657, 0xe4bc1fb4, 0x06a68767, 0x689c7ca4, 0x503550a2, 0x6a67f84f, 0x4a6c740d,
+    0x18733ea3, 0xd66bbd1c, 0xbd685a56, 0x7ac2dace, 0xf4c2fb54, 0x6c24fbe0, 0x64246f93, 0x6bacf20b,
+    0x249a62e6, 0xf3023d4a, 0x050e6baf, 0x78cf3f62, 0xe650d843, 0xdbb9597b, 0x0b674cc2, 0xe4dbc8a5,
+    0x50562705, 0x18373ae5, 0x0ebdca7a, 0x491c1b87, 0x310035c4, 0xbc4815e3, 0xc93ce5bc, 0x8f3cbe0f,
+    0x001c42a7, 0x5f1f68f2, 0x9ce1300d, 0xde12f92a, 0x6ed74d58, 0xb1a389fd, 0x3ac5a3f6, 0xe487edc4,
+    0x00000000,
+    0xab63ad0a, 0x3a3e24be, 0xde9dd51f, 0x9d06650f, 0x8082e785, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55,
+    0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000384785216761664836057412500977964978\
+                         56523182881313912761668255277583712667477744737709244389536050430475222646784 */
+  { 0x00000000,
+    0xe13e6ab2, 0x165c88fd, 0xc0177aea, 0xe331660f, 0x115f91fc, 0x273539a9, 0x3a204727, 0x6c823a01,
+    0xb98fc517, 0x41d298e8, 0x3534a9d2, 0xfe3f074a, 0x9b92ae9f, 0x2f561b3d, 0x35ef0997, 0xfe6c8225,
+    0xceb75868, 0xcdf67a20, 0x42e78997, 0x01e88f52, 0xdc5489ce, 0x5d7229ab, 0xc45f4756, 0x66328f2b,
+    0x4d2ddbac, 0x14f712b2, 0x76832a6c, 0x09441d3d, 0x6edcb725, 0x9e1aa93a, 0x0d04e753, 0x8f4c87bc,
+    0x88292c98, 0x79e775b6, 0x0456d3d8, 0x1dcee740, 0x64145393, 0xf1582fa1, 0x86bafe9f, 0x556442eb,
+    0x944d18f0, 0xbd923439, 0x794afcc1, 0xee95e6f8, 0x2e0b3fb3, 0xf03c1982, 0x8d33d20e, 0x02e2959d,
+    0x44c8ab82, 0xff966a8b, 0x4821c97a, 0x52c6e03d, 0x6b519ba3, 0x52ba66b1, 0x7437dc81, 0x90e61fba,
+    0x60d7db00, 0xdfbfe01e, 0x0523bc1e, 0x976764eb, 0x228f6f40, 0xdfb621ac, 0xa595bdff, 0xf66d282b,
+    0x56309e84, 0xc1e99487, 0xd8c260fa, 0xc450ee01, 0xa373899f, 0x83aad2f8, 0xa151f042, 0xf2bc4427,
+    0x499c441a, 0x60fa95bc, 0x8ad4af1f, 0xbd42c907, 0x3fb4639f, 0x5c606d70, 0xb1e56b4f, 0x36a82980,
+    0xf5018674, 0xa3777fc1, 0x52e94d6b, 0x6c22b42a, 0x12bdf2be, 0xdc5a53b1, 0x2d6480f8, 0x29ac680f,
+    0x9f8ef342, 0xba9ed7fe, 0x6e251c48, 0xbe155242, 0x86eb74fc, 0x7136b1cc, 0xb722f061, 0x3800e4c6,
+    0x986ae545, 0x3b3ee27c, 0x2edd54bd, 0x9683ae26, 0x45a600aa, 0xfe2ba7a9, 0x51172305, 0x95e5e8df,
+    0x96119599, 0x8e645ce7, 0x10e58c7c, 0x38079b9e, 0x30e9c56d, 0x96e3f8dc, 0xbcd79fc3, 0x37068e46,
+    0x3b90d9b8, 0xf66b794d, 0x8c39aebd, 0xfa6818cf, 0x2a3b525b, 0xc181fe6a, 0x50ac624d, 0xb726f5c3,
+    0xa6391840, 0xbe6c67fb, 0x1e430829, 0x3cd70260, 0x15752922, 0xd782ff64, 0x991b0cfc, 0x2c4ca817,
+    0xcc7ebeec, 0xeb4bc779, 0x132ddc63, 0xe2225c41, 0x46b62a59, 0x28fedce7, 0x6001d23e, 0xf705471c,
+    0xa450595e, 0x9f908df0, 0x7af1b872, 0x55721ca7, 0xd059a12a, 0x512c604e, 0x9a08805b, 0x4b959db2,
+    0x7e7eb913, 0xfceefd8b, 0x01e34f9b, 0xe80191f6, 0x51875557, 0xbe0a0d6d, 0xcabdcc4e, 0x5e14c5af,
+    0x710a8e82, 0xba911468, 0xf3dc9514, 0xdf24ec7e, 0x3109b860, 0x5d462ac6, 0x577cd91b, 0x4f8f02b3,
+    0x1a076700, 0xecd9ab13, 0x1912b54a, 0x8bac32f8, 0x9e949394, 0x2ad370d2, 0x565fa067, 0x365f6e7d,
+    0xbf07d48e, 0x854ac2bd, 0x15e75f1c, 0xb1d066ff, 0xbed0edcb, 0x03c8130e, 0x7efaae11, 0xac9019ae,
+    0x51580437, 0x083d4813, 0xf865b1b1, 0x13161a01, 0xaa560fa8, 0x47352b11, 0x3b1a5afe, 0x5ea6c204,
+    0xb214074b, 0x79eb6f10, 0x56a175c8, 0x174a005e, 0x63ebb7a6, 0xee351f40, 0x95eedd7f, 0x08aac0db,
+    0x80060871, 0xb2330117, 0xd28c8f78, 0x84d31164, 0xa9391a83, 0xc6fcc49e, 0x2c77af7f, 0x6549991d,
+    0x84544306, 0x4a1f311c, 0xa5cd79e3, 0x042ac9f9, 0xa977b1be, 0x780bfe85, 0x2da1b7ad, 0x39d1a005,
+    0xb4b51eac, 0x87b1428d, 0x432e8f9a, 0x9ae20d06, 0x3bf10830, 0xa677ae6e, 0x6c8ea94b, 0xaf2e1bb5,
+    0xd6d61bdb, 0xb11ed99c, 0xdfb472b4, 0x7be7fa73, 0xbe23e579, 0xebcee1af, 0xcb813609, 0xdd80fb21,
+    0x875e14b5, 0xa362d180, 0xc4f57898, 0x881ee25e, 0x13e56c63, 0x457ef5ce, 0x4c13fcb8, 0x2921c292,
+    0x54eee0a1, 0x84fd610c, 0x17b49fa5, 0x50242c6b, 0x9d0556dc, 0x085be08b, 0x2da2de1d, 0xae72c9f1,
+    0xcecab052, 0x213d444e, 0x28365834, 0xc8bb94fa, 0xc347ce72, 0x2606e888, 0x5d440455, 0xb6ca1481,
+    0x0cc7102d, 0xa34ea627, 0x15d529c5, 0xa23b15a5, 0xf8658a50, 0x8fb251a1, 0x3e90f451, 0x53e73abb,
+    0xea4f6b9b, 0x2fd14fc1, 0x5e4212eb, 0x5d6e45df, 0xc6d9d3bd, 0xc2874e99, 0xf7595fe2, 0xe5cabfe5,
+    0xc9224301, 0xa2472019, 0x3c00d473, 0xa51b523c, 0x4d4ad7f2, 0x57ed3d12, 0x80dbad6d, 0x2fe201ce,
+    0xde2ae52d, 0x555dfded, 0x7319b70c, 0x914a80d5, 0x57265913, 0x049430b8, 0xdfeec445, 0x2822714c,
+    0x2c580241, 0x047524ab, 0x933e4e81, 0x6ab45be4, 0x9acd3d0e, 0x5371ec0c, 0x317edd0e, 0xe95e775e,
+    0xd5b584b1, 0x7333ae21, 0x6f5cf58d, 0x17ce571e, 0x397dec61, 0xabc82ef6, 0xb898c27e, 0x9dd0b631,
+    0x489b2cc1, 0x6374bc2c, 0xca23e8e5, 0x4dc74cd3, 0x26b295be, 0x538b0003, 0x4ff5a22a, 0xcf552a60,
+    0xedf0df8a, 0x0ebfd55a, 0xe0ce09d0, 0xcbb28456, 0x1f7e06f1, 0x525f5c93, 0xae0c7eb2, 0xcf3e5f67,
+    0x37b9f97a, 0x192b6f5b, 0x05156a03, 0x1a1988c1, 0x23e127fd, 0xc08836df, 0xa64e6e8b, 0xf65252d6,
+    0x926c708a, 0x951cd622, 0x5cbd803c, 0x98694d60, 0x8e367130, 0x13be26cb, 0x890d3012, 0x22203747,
+    0x2be55ae3, 0x739ca9b1, 0xc74124d6, 0x47e1de3e, 0x5b6b887b, 0x6d4ed598, 0x90ce93d8, 0x72260711,
+    0x88af953c, 0x9eab3b85, 0x211c3648, 0xf94f8955, 0xada841dc, 0x62f7a6a8, 0x7abe2e5d, 0xaf3f7bab,
+    0x9a741134, 0x3134f10c, 0xe674c008, 0x153178fb, 0x64a9e0b3, 0x53b15bc4, 0x156a5594, 0x08f68a6a,
+    0xdfcce42b, 0xc66c0f89, 0xcb317c43, 0x24f150f3, 0xb87711d8, 0xbb799665, 0x099eed03, 0xe231b16b,
+    0x8b136f7a, 0x3a8a39c2, 0xe73782e6, 0x5750f023, 0x43baa3cf, 0xa3471e29, 0x91af3d42, 0x44e73a41,
+    0xc1432c7f, 0x388a9564, 0xe063d65f, 0xd47d62c9, 0x3b04e41f, 0x3c3d4b7d, 0x29830b61, 0x95b529dc,
+    0xa01af2d5, 0x5f31d5b3, 0x85a433bb, 0x10f3c741, 0xd1bae5ea, 0xd54e02e8, 0xbf858d69, 0x29936545,
+    0xf152b622, 0x169407f7, 0x7698cb41, 0xe9fd0f2b, 0xe1388567, 0x8aab6227, 0x38060030, 0x6186996f,
+    0x1122ae66, 0xdcb9fb93, 0x20f0b182, 0xa903ff87, 0xc5f6fa1d, 0x497ce9cc, 0x2a8b5beb, 0x613668ab,
+    0x25dba3b4, 0xe63931f3, 0x1a7ca23e, 0xc52a25de, 0x83bf81b7, 0x26e8bde5, 0xf17d0b34, 0xfe022def,
+    0x64e8d033, 0xce37fbf1, 0xcb39cb04, 0x5f3892cf, 0x8449ae5a, 0xc5934f99, 0xd6a0bcbe, 0x57144dde,
+    0x475635d4, 0xea120df8, 0x6e042880, 0x4953a821, 0xd48c7089, 0x92f7c517, 0x2ef0c27f, 0xa480e050,
+    0x6dda704d, 0x2ac4ec39, 0x83c5f507, 0x903b93a1, 0x34918f43, 0xb1abb8d0, 0x699a9b99, 0x84031d41,
+    0x437729ce, 0x09265aab, 0x2d3742bc, 0x18a3bd9d, 0x9db9f8f0, 0x2fb5a0d3, 0x9e833a9a, 0x0cd7ee7f,
+    0xfe247e3c, 0xe861f2e8, 0x6be32e0b, 0xa350a52c, 0x8a17aac2, 0x471bcfc6, 0x6e6e74dc, 0x5b01725a,
+    0x2c0ad1ba, 0x3b2aac8a, 0x748d9310, 0xb480b6f3, 0xf235222c, 0xea7ade87, 0xfd7184e1, 0xeb9b4e5c,
+    0x86630146, 0x0b5bc0c3, 0xaf02e980, 0x70745e2e, 0x8564d2a4, 0xe016cb7e, 0xd2ec34d2, 0xd2abcf11,
+    0x4dd29848, 0x408d810d, 0x84f58f5e, 0xcd543568, 0x76edc01c, 0x154c9675, 0x0101d473, 0x956367f2,
+    0x28b394d4, 0xd2366ad6, 0x2f4907ae, 0xce5776f1, 0x71b0c5c4, 0xc4c72e75, 0x28ef76fe, 0xceafe849,
+    0x8464ed1d, 0x089efcd5, 0x6e670921, 0xaaaa4dca, 0x6add8855, 0x3a93d8cb, 0x9e578e25, 0x3825c765,
+    0xcadd3d33, 0xe66cde44, 0xacd430ca, 0x490fb5f7, 0x0f7b7763, 0x6cc6a47c, 0x40d12bd4, 0xb098b1de,
+    0x58383905, 0x9a4c07c5, 0x136084c7, 0xb0f49839, 0x873d4795, 0xe003684e, 0x406e196a, 0x57438179,
+    0x6c180ef3, 0x75884677, 0x3c557fdb, 0xf016200f, 0x8f55dcb5, 0xf9e7b26c, 0xb2296574, 0x2c2809e5,
+    0xc38fc844, 0xcf51fc48, 0x33db21b5, 0x56e9bddc, 0xaafe0585, 0x69cc7fd0, 0xe8d44022, 0x3d3dbb22,
+    0x8cce8d72, 0xe4e84791, 0x81528ff3, 0x3da2061f, 0x901761ba, 0x3e1175af, 0xb9692c2f, 0xc4e0fa99,
+    0xb672f87d, 0xf515a9ac, 0x57c23639, 0xdec3f8d1, 0xbe8e5401, 0xb518341f, 0x3b79a43c, 0x3d7c50cd,
+    0xbdec97be, 0x73eb0903, 0x2608a67f, 0x7a29c8fe, 0x99f74bef, 0xf2052364, 0x02a93f73, 0xd892714a,
+    0x953e4608, 0x4fd7615c, 0xc2f6a270, 0x2e6a3ea9, 0xcd710913, 0x6eff9f15, 0x07904089, 0x77521736,
+    0xdfbf377c, 0x6313e3b4, 0x8aa6d22e, 0x29f758ea, 0x4979aa1c, 0x3af172e8, 0x5ca12e02, 0xb947c552,
+    0xb64bb04d, 0xd2090f6b, 0x27e069e6, 0xed90fd0f, 0x4abff8eb, 0x8188d10b, 0xf5e2d2a4, 0x06a9279c,
+    0x6b51e648, 0xd7715a40, 0x8a837ab9, 0x269219bb, 0x50cd0c17, 0xd1090d06, 0xe3cf1c1d, 0x7cd53192,
+    0xe5e5b34f, 0xa400b99d, 0x4f3d791f, 0x70fa9b5e, 0x08c37df5, 0x2d312446, 0x59f10ef5, 0xc45a2b6e,
+    0x6e7a4e85, 0x4c54aae1, 0x875d3756, 0x56ebec39, 0xa05053ec, 0x4b1b9d27, 0xeb918cf7, 0x2aa84174,
+    0x27abb72b, 0x3e820b25, 0x7b17e742, 0xf900ba66, 0xb85f2269, 0xbbd66f6f, 0x473e3268, 0xbf43f139,
+    0xf5a7294d, 0x3b6f5949, 0x3804016f, 0xcb3cf0fb, 0xf258895f, 0x0391c8cd, 0x8d49a853, 0xdc84b67e,
+    0x859e417d, 0x950d002c, 0x13b30948, 0x70d747bb, 0x28072b09, 0xbe91b985, 0xd8055bb8, 0xa79c2a5a,
+    0x0dfc7f62, 0x05b69798, 0x48277ce1, 0xddb1781a, 0x51249bff, 0x83453c69, 0x701fce41, 0xb953888f,
+    0xc054b167, 0x306d855d, 0x15fdc14e, 0xa78ec3db, 0x8f849f82, 0xf7534c3f, 0x5db6ad31, 0xbcfc9537,
+    0x42eb8c25, 0xd7d669c1, 0x0d1e5668, 0x732c9b88, 0x95528088, 0x6718c7d9, 0x3ef8d55b, 0x314f6f2d,
+    0x859dfefe, 0x0f6507a2, 0x5adcaad2, 0x7c9e5a74, 0x07c14fdb, 0x17d6a2be, 0x3bc6a7ab, 0xcdee4504,
+    0xa210eac4, 0x3c450a6a, 0x65e933ca, 0xbceca0dd, 0x11356517, 0xf2a50ce8, 0xb772bb4c, 0xed3e7490,
+    0x156f598e, 0xbcc907ff, 0xdb151a58, 0xa8eccbbe, 0x9457d520, 0xba2f7f73, 0xe2e52dbc, 0x05f84faf,
+    0xf28e2b1a, 0x99bfa196, 0x7097fec5, 0x6ec62d87, 0x91adb868, 0x76c439e7, 0xa0e0b03a, 0x2128f301,
+    0x2d94e4da, 0xa051e033, 0x184d95cd, 0x208b294a, 0x8f97cd92, 0xcd2aaf79, 0xf498e681, 0x1144e626,
+    0x4de83b14, 0xbbcb23ff, 0xa746a155, 0x6ddac2a7, 0xd56000ef, 0xdc23391a, 0x5c9b7f8f, 0xd006a512,
+    0xcb532547, 0x725dbc70, 0x168c9a38, 0x30eaea4c, 0xbe4a7584, 0x7204b6c6, 0xf6b2a9a2, 0x43881cc5,
+    0xd4337bb8, 0x9ad805ae, 0xe426acd2, 0xa7f8e704, 0x06155328, 0x402355d1, 0xb364ba13, 0x342d3214,
+    0xc4d042a2, 0x776ee7e2, 0x032e5959, 0xc9d63f5f, 0x64dc3af8, 0x85ed1db6, 0x64dd0407, 0xc4ff36ce,
+    0x1bffb7ca, 0x9409132c, 0x3a0319ae, 0x4711a25e, 0x74828521, 0x75596ab7, 0x05f3b432, 0x246fe320,
+    0x90465efd, 0xb08ba8b2, 0x24ef7a4d, 0x71f15d87, 0xe3247ae0, 0x6eee7e50, 0x47b565c6, 0x0284e34c,
+    0xefa165b2, 0x34e4fa0e, 0x35b5c5af, 0x7a12f8d4, 0xdef10636, 0xf3e64d7c, 0xd6a8270a, 0x4881c5de,
+    0xa01a2299, 0xf55b9eeb, 0xf365866f, 0x67d82f34, 0x8599e516, 0x91c77f9f, 0xa5f4b229, 0x3bbfaa02,
+    0x3049e63b, 0xbb11a533, 0xac5d64c1, 0xed6d9811, 0x89006218, 0x3f18e09d, 0x6bd56311, 0x0f5d8e8a,
+    0xf781b8e1, 0x0461d420, 0xc23a7418, 0x0d090b10, 0x4b9fc137, 0x29e852b0, 0x15eb40dc, 0x31d7d17a,
+    0x0ec99fd3, 0x05c5335d, 0xebb9b7fd, 0x45d7ea69, 0x4a964627, 0x5dc3c326, 0x9fea54b8, 0x300ccb65,
+    0x1dfb04a2, 0x02e6b20f, 0xdec5266b, 0x0ae6e804, 0xa00ee0cb, 0xbe72e468, 0xcb0e7fc4, 0xdeb84aa1,
+    0x77dee7ac, 0xf259583a, 0x7c049ea0, 0x146efb4f, 0x682d5469, 0x437227ad, 0x1ff322b9, 0xc457e8a1,
+    0x8df19795, 0x7b25a5f2, 0xf5d6c8fc, 0x4f7de116, 0xc94675be, 0x32f6cac7, 0x262b4807, 0x1ab2a7a4,
+    0x43f2f52b, 0xda90f747, 0x13cd1813, 0xd9c60d5b, 0x5079d263, 0xc2fd53ea, 0x02052f6c, 0xcdc743f2,
+    0x11e0e74b, 0x447102d1, 0xb70369c8, 0x5450b01c, 0xe63e87b0, 0x4baf6138, 0xba67148d, 0x7a9eeaa9,
+    0xd09af3e7, 0x515cfa7a, 0x60b3f3a3, 0x05f7113f, 0xe138b9c8, 0x5988d280, 0x1917a259, 0x96d6b9f7,
+    0xd64bd46e, 0xd1c97766, 0x414d1932, 0x346af9b0, 0xe60726dc, 0x4baf6125, 0x70d5c336, 0x6a5affff,
+    0x5709b506, 0x6884b03e, 0x4913cc67, 0xde0a958c, 0x7e44d47b, 0xed67a2e1, 0x5161c6cd, 0x8148aa84,
+    0x719f42e2, 0x0a5f8578, 0x228d9b13, 0x082f5e0e, 0xe7dcfb4e, 0x088344b0, 0xa0f4c38b, 0xd8267f68,
+    0x3202803c, 0xbee7d1ba, 0x2c05b6fd, 0xd72db5f0, 0x0f13669e, 0x17302062, 0x058231cc, 0x5135093b,
+    0xeeac2210, 0x638ee0fa, 0x4ee2b492, 0x36701e79, 0x51c4c312, 0x79e0f439, 0x8951c841, 0x5c0c51c6,
+    0xf10da7c5, 0x6740942a, 0xd0fd5a7f, 0xdbf71271, 0x93d0ce5f, 0x0484dee3, 0xaff77c8a, 0x5dc3d8b5,
+    0x9b2ca0f5, 0xf9b0f8c3, 0xd2c5db5d, 0x86715c44, 0xff5c0fef, 0x14cf90c6, 0x87027093, 0x081584ff,
+    0x4dd3ff93, 0x7020f417, 0x296e13b9, 0xd7833c28, 0x1b022cf1, 0xee12c9ad, 0xa7138b97, 0xedfb36fb,
+    0xbe4db96f, 0xca1860ac, 0x1cf2f767, 0x10014cbc, 0xf38d889f, 0xc8baf8ad, 0x73f8ded8, 0x6c1ccbf4,
+    0xb130d914, 0x986887ea, 0x0c65884a, 0xcd7052e1, 0x7ea384cd, 0xecb7ae58, 0x1428c08d, 0x487d09b4,
+    0x9697420b, 0xddaa82cb, 0x70e5465d, 0xa86b686c, 0x2f699c10, 0xb5cd8ec5, 0xa52f91ac, 0x7efe99cc,
+    0x8eb43e07, 0xc7dfd2b2, 0x86bd56d7, 0xbbe1682c, 0x09fb2dd4, 0x49a15059, 0x01dc33d9, 0xbcdef7ea,
+    0xec6b2d74, 0xb8d972b6, 0xc9273714, 0x5a12a990, 0x6c970f62, 0x46ff9d46, 0xdba5d71a, 0x7912765b,
+    0x3d3ef6d6, 0x5190130a, 0x0b5b44ac, 0xdf6db295, 0x315a0f87, 0x212e34aa, 0x2e1decab, 0x583d8429,
+    0x2dcfc827, 0xeb93b62a, 0xfca6e502, 0xf88b2d18, 0xef58bed9, 0xcefdea24, 0x1ce59844, 0xa6f19d3d,
+    0x3d449437, 0x0c223cd5, 0x38d93b1f, 0xe9162121, 0xc71ab9bb, 0x630cd74c, 0x6f405941, 0x8af7d26a,
+    0xb88c667d, 0x33402731, 0x9365521b, 0xdc0c9999, 0x6f887abd, 0x7d070807, 0x04ad0c1a, 0x3709ace3,
+    0x3c4ed1ad, 0x21318370, 0xc14eaa18, 0x0a0d2503, 0xa3c26a86, 0xb2ca5f03, 0x50ef214b, 0xfe0ef7e2,
+    0x33b92f99, 0xc6b785bc, 0x1b354d90, 0x69650b12, 0x5e58e4ee, 0x48e4bd22, 0x0aa3816a, 0x9423f937,
+    0x17e35640, 0x76bd71a7, 0x44bc5568, 0x33724be7, 0xb8c4bb5c, 0xcb125f1c, 0x89aaf91a, 0x8d85fe06,
+    0x9e42648f, 0x9fd1f99f, 0x4637faeb, 0xd201b46f, 0xc71d34c9, 0x06dfa858, 0xb9932870, 0x1011f831,
+    0x449034f3, 0x6a1fc00c, 0x2da2e86f, 0x8b9c0138, 0x0a131428, 0x57f63b94, 0xf8f692f3, 0x7316b5ec,
+    0xa08efad3, 0xb4882f33, 0xdc782492, 0x3c9bd572, 0x70dde12a, 0x22641963, 0x5d5bcb82, 0x0e1bfa39,
+    0x8aa2f548, 0x89be50f8, 0x2a53da01, 0x2e2b545f, 0xfa36b3b0, 0x40ff3b00, 0xaffa17f4, 0xf1e037f8,
+    0x00000000,
+    0x55b1d684, 0x9d1f125f, 0xef4eea8f, 0xce833287, 0x404173c2, 0xa748db56, 0xff1bd9d6, 0xa66cb62a,
+    0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000192392608380832418028706250488982489\
+                         28261591440656956380834127638791856333738872368854622194768025215237611323392 */
+  { 0x00000000,
+    0xe5260d76, 0x77457d08, 0x4b2165c3, 0x2f1f323b, 0x30615cb9, 0x779e042c, 0x02945250, 0xdc98fbf8,
+    0x9a44ffaf, 0xe70a3d57, 0xd859c9dc, 0x1b668932, 0x910a8d1a, 0xf0d984df, 0xe1fa9942, 0xdb451493,
+    0x69ded507, 0x63026cbd, 0xa2186680, 0xc1face7d, 0x01c887e1, 0x4b451a82, 0x30315b31, 0xcc736441,
+    0x10bcb51c, 0xd997d7f9, 0x287f9779, 0xa0be7bef, 0xb489966c, 0xced42cbd, 0x5fab0ed9, 0x64a63e90,
+    0x3bd09aaa, 0xabb44a3d, 0xdc7e4270, 0xa9803956, 0x1661213a, 0x3c917fd9, 0x21040b9d, 0xb735ac53,
+    0xf4d03404, 0x24a6d320, 0xf777ff75, 0xd6ff65e6, 0x71e8aeb3, 0xc334887e, 0x89ac9cd5, 0x061371c8,
+    0x68465704, 0xc3f9fde5, 0x2b90bdf1, 0xa930187b, 0x83125804, 0x3bef68cd, 0x8e7e2fe1, 0xa698d558,
+    0x85ba897c, 0xf9612547, 0x623e4760, 0xd8175948, 0x695edb02, 0xaad8b8e1, 0x5aff7046, 0xcf488294,
+    0x99a97fcd, 0xd52eda54, 0xe48ba450, 0x82c51ad7, 0xe51459b4, 0x662f024b, 0x15dd0591, 0xba20c0b9,
+    0x6450bfc7, 0xd6a992d2, 0x7b3df63c, 0x2caa80f5, 0x7a33c816, 0x2b678787, 0xcb42f4bf, 0x69df80ea,
+    0x8ee16161, 0xc4a05e45, 0x40810780, 0xf56ea7c3, 0x55248517, 0x2643554e, 0x0e8de373, 0xfbb621a8,
+    0x85d9009c, 0x6078d8b0, 0xe7f7e1bb, 0x17e134d4, 0x639efe53, 0x8657d562, 0x992f80f8, 0x3d109430,
+    0xf335dda0, 0x295eea33, 0xd8a16a00, 0x2d3127dc, 0xf1c07011, 0xebcc8f22, 0xf5dabe47, 0xff0d42b4,
+    0x4a5a19bd, 0x3de98089, 0x3fe5d697, 0x51ece154, 0x7d3ffb32, 0xbef133aa, 0x8f93b713, 0x4b3c8473,
+    0x61ba0010, 0xc77fefc3, 0x16e2feb0, 0x2dc25d14, 0x02be2163, 0xfc9ede87, 0x6e426540, 0xcbfbc898,
+    0xfd0a4590, 0xf36db1ae, 0x0c958064, 0xd6a9d38d, 0x3163935f, 0x5eea7d84, 0x9623a726, 0xcac87cf4,
+    0xbb922493, 0x7729b03a, 0xa48ec804, 0x6f6311ed, 0x0ffc2d5e, 0x5bc0fef2, 0x75820ed9, 0x82fd5353,
+    0x31dab45d, 0x7951a3b7, 0x729b1703, 0x3095a024, 0x3f674706, 0x75f30631, 0x70f53c0a, 0x9c93f8b1,
+    0x4aca9dfa, 0xc465ca8c, 0x306dfe39, 0x61bf49c2, 0x6396ff76, 0x8aceaa52, 0x1752ce18, 0x230625f7,
+    0x101819bc, 0xc0b447a2, 0xb283172a, 0xa576558b, 0xfbdb920f, 0xcf128443, 0xf18c4afd, 0x97e9ad9d,
+    0xc22cf034, 0xab99f19b, 0xa97d418d, 0xace7de73, 0x82100c84, 0x3d601571, 0x4837e62a, 0x057a696b,
+    0x00dadfd5, 0x43f0a285, 0x099e3e56, 0xe94db16f, 0x376b3d79, 0xaec18877, 0x79b94a6f, 0xf33933ef,
+    0xccc47bda, 0xfa7c66a1, 0xe513fe1e, 0xc2e382ad, 0x98924b23, 0x9b2d168d, 0xf9b3dcb0, 0x0dcb7191,
+    0x7b78bf6f, 0x1dc75441, 0x02e4995a, 0x8e935b38, 0x107828e5, 0x35cfb50c, 0xb7a61141, 0x13d7f18d,
+    0x54b1ff94, 0x3ceaf0ae, 0x514c5682, 0xfc13e403, 0xd9cdc6e5, 0xa4978996, 0x1bfd3416, 0x0e0403f2,
+    0x953b1fcb, 0x6278cefc, 0x7acf6159, 0x719e1210, 0x21ef95a7, 0xf2e072da, 0xb91e8d25, 0x875f8a1a,
+    0x88a9dd3f, 0x76db330a, 0x5056477a, 0xaf7edd6a, 0x025500a2, 0x53523593, 0x1ca41899, 0x70a57c0b,
+    0x233d4bfa, 0xe60899e4, 0xcc441837, 0xf280be5d, 0x706b1b24, 0x01ccc62a, 0xa4d2c947, 0xe9a955ec,
+    0xe992e50c, 0x98e760e4, 0x4fea2c18, 0x46bd393f, 0x4001fd51, 0xfa7d87d4, 0x439ad57e, 0x3284ee21,
+    0xe481560d, 0x74214255, 0x366c7105, 0x4e7dfc4d, 0xa448c191, 0xd5eeac4a, 0x956b5a43, 0xc9358d00,
+    0x85ac48c6, 0x38c365d8, 0xc9205302, 0xb8cbfa3f, 0x18432ee5, 0x7e244481, 0x0ae87aa7, 0x5a490120,
+    0x499158dd, 0x3b40f51e, 0x7fa9e32e, 0xe1ad2f2b, 0x7ad55546, 0xdb28f412, 0x3807dd1f, 0x01542f33,
+    0x0a118649, 0xca8e8e68, 0x8c9608c8, 0xe2094d7d, 0x4829262b, 0x03bad1c4, 0x565bfbe8, 0x6f2613e6,
+    0xaa5a2720, 0xd425f659, 0x27eda24a, 0x0108a414, 0xc6467b17, 0xbffe0ac3, 0x277010e0, 0x3f322dd6,
+    0x3e8e2497, 0x2f404198, 0x98b6fce6, 0x8b4fae09, 0x43b55525, 0x1e9404c2, 0x1c9fe0db, 0x1c15a277,
+    0x041bb3e2, 0x622c20f5, 0x6fa73d70, 0x3cbdec94, 0x7a59a167, 0x558e6a7c, 0x0ba0c01d, 0x9a196fe6,
+    0xb682638f, 0x78243d9d, 0x30c66ccf, 0xcf86dd75, 0x6ab36f78, 0x580f3fd2, 0x01ea315c, 0x83be9a3a,
+    0x61a2e51a, 0x7a2615e7, 0x6a8cf5b4, 0xa2c0830a, 0xd3e49ef7, 0xab6aefad, 0xe243a9df, 0x2997e88c,
+    0x6ed85b99, 0x6b91c8c5, 0x3e7c289e, 0x131e318c, 0xa653ffa8, 0x0954a938, 0x9b3cb29c, 0x33150318,
+    0xc3b21cce, 0x865f0e5d, 0xb4e530cc, 0xdd148e45, 0xeb547804, 0x0ccad1a3, 0xa5be2b6a, 0x5434af3b,
+    0xf39241e7, 0x9f7b19d4, 0xd75693bf, 0x46016990, 0x06e814ef, 0x19228090, 0x8526a50e, 0x2f13593c,
+    0x84685f51, 0xb87c0b79, 0x9bfe55d9, 0x76ccc2f7, 0x5e8fd503, 0x65ae52f9, 0xf97cd63e, 0x942d1cea,
+    0xd4e003a1, 0xca17da49, 0xf31d89b2, 0x7a73a20d, 0x836d0022, 0x0a848013, 0x0ad84179, 0x48534fb2,
+    0x898fee0d, 0xcc78b8a4, 0x193ef682, 0x4c5d3b3c, 0x917e7188, 0x4161470d, 0x8b95fddc, 0x9a1cd5ab,
+    0x5a3e745d, 0xd9135d13, 0xe4b3001b, 0x32d7839a, 0x98170aae, 0x3b22632c, 0xeb5fdad8, 0x8d74b17b,
+    0x7ca0b0ae, 0xa12d2514, 0x59e3905a, 0xa26efabf, 0xf099a415, 0x3f2232a3, 0x0114cdf8, 0x8c8473c4,
+    0x68a39a61, 0x2fe2be9a, 0x2fd419c4, 0x1e288dbe, 0xfcd88755, 0x5f3e4e4d, 0xc4a58ea6, 0xc20e70fd,
+    0x3e582bf1, 0xf2468852, 0xa6f014be, 0x5e6e5e17, 0x1b8e8b66, 0x9c9103ad, 0x732dd79a, 0xc616924e,
+    0xad98c47c, 0xc6177597, 0x087ecbf1, 0xd3a58133, 0xf0797f14, 0x3965a893, 0x22fde11b, 0x57ebdfa6,
+    0xee47c1f4, 0x0f013e92, 0x495d8bbd, 0x8b12dc21, 0xfffbb961, 0x71f79633, 0x8d93d305, 0x3aa84fb3,
+    0xf2c18881, 0x4d3968a2, 0x34c43caf, 0xdabf9a42, 0x306cb389, 0x4be62fd7, 0x754a841a, 0xe4912ff3,
+    0xebd5d5c2, 0x9555e00a, 0x200e673b, 0xfb938370, 0xf7dd400f, 0x10ed2cbc, 0xfb926062, 0x84270450,
+    0x62cabd95, 0x0ff6ff1f, 0x7c507098, 0x2355995a, 0x1b321b27, 0x91f9c97c, 0x4bc34648, 0xc402d6d2,
+    0xd342718d, 0x36574d06, 0xc3d1ab71, 0xab71287a, 0x9636796d, 0xd885e457, 0xbdeb6fcb, 0x68797c7a,
+    0xce814863, 0xab621900, 0x1b0659ba, 0xef5bd67c, 0x348157e0, 0x50546117, 0x82759db4, 0x7b532a80,
+    0xc78e57b9, 0x548f3000, 0x51bef459, 0xacd79231, 0xe035b80f, 0x7188b18d, 0x39d7075a, 0x36c61be5,
+    0xb2e1dccc, 0xa430f26b, 0x886425ef, 0xcaecb932, 0x36465857, 0x2eb52e63, 0x6356d7a3, 0xc561f9d1,
+    0x5077e227, 0x65aab6f1, 0x9e925cfa, 0xb65f7141, 0xa686e5b2, 0xe526a4c0, 0xf61c9940, 0x6df29e56,
+    0xa049eb6c, 0x6702fe2a, 0x811cf684, 0xf91171ba, 0x42c74835, 0xf53baad6, 0xa231ca1f, 0x2a83bce8,
+    0xdbd83c29, 0xb4fe6811, 0xdbcb052b, 0x6cc604c9, 0x3e475ae5, 0x39330a63, 0xe4a4e602, 0xfcad187c,
+    0xf9ecf3ad, 0x6b694693, 0x0ce4c95e, 0xf659b3b6, 0x394df421, 0x24f17abe, 0xeab854ef, 0x93220c6a,
+    0x59e9d7b2, 0x619214d4, 0xa443f617, 0x8497d1b4, 0x50f2b163, 0x12662a43, 0x0b75bfcf, 0xa230e434,
+    0x4ec7b88a, 0x60c6cfbf, 0x73a32413, 0x246976e5, 0x6e1cb32a, 0x946b8245, 0x8b0ce919, 0xe063e4a5,
+    0x276af536, 0x2dd5cca6, 0xd801656e, 0x828cdd34, 0xb6753e0a, 0x722b40d4, 0x898f99d3, 0xa770f7ac,
+    0xb6ca2cdd, 0x2a83cbd7, 0xce766929, 0xd300ea2f, 0x2353b144, 0xc8e1cc66, 0x7dffcc3e, 0x274fbe72,
+    0xa04bca00, 0x59c50e73, 0x479b1752, 0x560e8214, 0x4ef3fee6, 0x6df3f7fa, 0x7b5d9c8d, 0x31be4a85,
+    0x251024eb, 0x4e76e3aa, 0x25bffcb1, 0x75b9988a, 0x95dd5baa, 0xd88c440a, 0xa69f0579, 0xc38b01e8,
+    0x29fefde1, 0xe92fba6e, 0xbf409a0d, 0xec6bdf7e, 0xf4e18d7f, 0x296fb485, 0x8abe9cf3, 0x3ef9076e,
+    0xc6aa76b1, 0x2c240a83, 0x8146d5f2, 0x6c57f135, 0xa4992e2b, 0x5361a218, 0xa8dc15b9, 0x3db58fbe,
+    0x53e8d88e, 0x5670e25c, 0x5b79d583, 0xd5f1cb85, 0x3452a459, 0x339d3077, 0x39edd46c, 0x78a68c91,
+    0xc592d528, 0xe63d8b77, 0xdd954bba, 0xd3add06c, 0x991c1d52, 0x4d0466e1, 0x81fd635b, 0x9150d8fe,
+    0x9b1e128f, 0xe10b07fe, 0x97738dfa, 0xbb3fa112, 0x628da60e, 0x4a49598e, 0xc94a8c93, 0xb0fc3a2b,
+    0x72a780ac, 0x9ced733e, 0x2f542658, 0x874cab42, 0x4143e65c, 0x3b97c3d8, 0xc1000920, 0xccf6c262,
+    0xf8266a2e, 0xe7df64e3, 0xe606524b, 0x61be8e4a, 0x1886c0ce, 0x4a6c3556, 0x9a0d41bf, 0xe802e6b5,
+    0x7ad0da0c, 0xda2f894c, 0x93c18c3f, 0x81d6d4f2, 0xe226507e, 0xc3d52aa9, 0x04001ba1, 0x081c577d,
+    0x0c3ef08a, 0xd4077d8d, 0xf1b316da, 0x23b6a042, 0x9c327bab, 0xf3723005, 0x4160f02a, 0xd30e662e,
+    0x8229af21, 0x6054b573, 0x5cb20501, 0xdf52078e, 0x2e21d601, 0xe7042936, 0xb1390c4e, 0xbbbad2e8,
+    0xcf2f5544, 0xd2763891, 0x94029b79, 0x0e9e3231, 0x1f5f51db, 0xf9318161, 0x3d32faa3, 0x27e166b5,
+    0x87372fce, 0x88c25acc, 0x3dfd47c8, 0xe5adf90b, 0x6e9929ac, 0xa6fae63f, 0xa0980c89, 0x66ac0fc0,
+    0x0b65b098, 0x01ea7b9d, 0xbb820617, 0xf6ce4531, 0x47e0cef5, 0x060adbcd, 0x3773c630, 0x9d3ef14c,
+    0x31a80a32, 0x9add760e, 0xf806f7c4, 0x6e0a7062, 0x2ac9c3d5, 0xa2eb612e, 0xc340f6c5, 0x5eb563b0,
+    0xe896e6a4, 0xa82666f3, 0x54a0cbb2, 0x040b48d6, 0xe5d3f738, 0x43d892d6, 0x9cecf420, 0x6956e626,
+    0x3d2ab959, 0x853bc65d, 0xe35c53b7, 0xa1ae829e, 0xd86cbdca, 0x499319ad, 0x6e7c01aa, 0x6cdd0db8,
+    0x0e0109e5, 0x33b8bfa7, 0x8c3ad70b, 0x39b32254, 0x7678e05c, 0x9a511775, 0x380fdf23, 0xf4b540f6,
+    0x8086e48e, 0xdf8ce634, 0x6cdb11ce, 0xebea8edb, 0xf4135d75, 0x36bea0c5, 0x13a566e1, 0x47fa0e65,
+    0x7a6b91bb, 0x2d288d15, 0xd43a7267, 0x4cc5b256, 0xd45b1fb8, 0xc04dae61, 0xd9963edc, 0xf47e207c,
+    0x08d2a612, 0xfd97b87a, 0x02db498f, 0xb2266955, 0x3e29d501, 0x2f78c078, 0x36619b1e, 0xced1613d,
+    0x0fb1f0f8, 0xb3fd2e96, 0x6ef6d44f, 0x593863b7, 0xb33df5db, 0xd32439cf, 0xa21adce0, 0x6b1c6e30,
+    0x494291f0, 0x7ca986fe, 0x4c7cf74b, 0xc432f5a5, 0x4583c881, 0xad45f590, 0x6204c1c1, 0x87a1d663,
+    0xb6e21e55, 0xffd7c46a, 0x830e56c2, 0xa57cc82d, 0xe3b89a56, 0xd5f5ea15, 0x9ef63067, 0xa4583108,
+    0x5aa859c8, 0x271ac5eb, 0xe71b0407, 0xce2e64a6, 0xb5e5ee41, 0x00f3e8f1, 0xbcb3e461, 0x35a2cd94,
+    0xef7773c1, 0x64bfe7ff, 0x65d9c768, 0xf175777f, 0xe47762d2, 0xa8d14ef9, 0x24132e9a, 0xcdefc62f,
+    0x43cea5d4, 0xca84653f, 0x0432e3e7, 0x92b5bcb1, 0x951d94a0, 0x1abc69df, 0x1b7f1aba, 0x7a9e6270,
+    0x7f584fed, 0x65b359a1, 0x9f0f9d9b, 0x7976ee3d, 0xa1c453b3, 0xfdee1621, 0xd3561b89, 0x4957bd49,
+    0x2290ec8e, 0x4754e1fb, 0xb3daa970, 0xbf8c6711, 0xd1786c93, 0xa6bd9021, 0x421db709, 0x0c1a4ceb,
+    0x7a61f0c2, 0xdcff255b, 0xbea16756, 0x0c61d0d7, 0xf99a4179, 0x61a9689c, 0x4ae7bf58, 0xf1406f49,
+    0x49f37086, 0xe62cba64, 0x175bc1f4, 0xdbd84c5d, 0x58cd7a96, 0x4fe407b9, 0x3f504074, 0xde88f862,
+    0x1fe08498, 0x2b97a04c, 0xb1557193, 0x0dcf3974, 0x06626fb8, 0x36d22194, 0xc84d15d6, 0x7870d170,
+    0x0c31c5b3, 0x6026e104, 0x81ce95af, 0x78686d31, 0xdc0afc19, 0x3135049d, 0x15491c46, 0xc0b163e2,
+    0xc39688d6, 0x2331f447, 0x5bbf0fef, 0x0c5950de, 0x84cdadd4, 0x8f23aed8, 0x5364c326, 0xf5389258,
+    0x1f94aa0f, 0x48d264c8, 0x7698127e, 0xcc4b49c3, 0x9cd91eb9, 0x6a3257a8, 0x6982cf04, 0xf8ab43c4,
+    0x4d99346e, 0x2e84dd97, 0xd2f9b310, 0xeeedc8e7, 0x0b405496, 0xacb6b246, 0x5500f8c2, 0x63eae5eb,
+    0x5756f479, 0x70eeb384, 0xfaa8189a, 0xcb59618b, 0x9fac148a, 0xab683b97, 0x286258d0, 0x0d26f2e1,
+    0x62687111, 0xb3a2085d, 0x1592bdf3, 0x1b674ecd, 0xf5c92b1f, 0xf67da014, 0x32de378d, 0x64f57d80,
+    0x8de3a960, 0xedc10809, 0x04b453b8, 0xa20fbb16, 0xedce1625, 0x1974b9b2, 0xa5cc00f0, 0x239d222a,
+    0x55b5b2b3, 0xb3f35ac9, 0xa3332c97, 0x20b3cb74, 0xc4d8a72a, 0x2dc36608, 0x8231f2fb, 0x336238d2,
+    0x20a68225, 0x43a1def2, 0xc919e767, 0x6f3ee015, 0x597eecd8, 0x8500474a, 0xe6399ce5, 0x6412861a,
+    0xf7c3392f, 0x77c01d29, 0xb61be896, 0x23cd437d, 0x7920b2af, 0x08c8c897, 0x06072f12, 0x0a0c7305,
+    0x53b64baa, 0xfd039596, 0xdf3947cd, 0x3ac913fb, 0x35eae890, 0xdea080a5, 0xb787bd54, 0x22241f6c,
+    0x9dd90a76, 0x595be4a9, 0x909c386c, 0x7aca8a2a, 0x95a6a517, 0x67cfda6d, 0x9aadf082, 0xf224ab6b,
+    0x7b3a3712, 0x52b879fa, 0x7da48a0a, 0xf850f9f8, 0x869cf031, 0x7015209a, 0x65c006a0, 0xb0b8a7bf,
+    0xedd7cca4, 0x1e481c91, 0xcbaaf4ca, 0x2b0b7b2f, 0xb40f24ca, 0xa8a9125b, 0xa62675ad, 0x83e45046,
+    0x15b80edd, 0xfe1df9f3, 0x97f19c0d, 0x1edd5356, 0xd8c23875, 0x1a5bb3f1, 0x02b80004, 0x611a6a9d,
+    0x4224ea47, 0xe0f318b1, 0x71040f66, 0x8539e813, 0x72696ab3, 0xcf19b4d0, 0x0edc5606, 0x840d306d,
+    0x8da52bf3, 0xf53f8b0d, 0x60493edd, 0xccbcabf0, 0x8056aa1f, 0xef7eeecc, 0x9ccbe66b, 0xa77ecd8d,
+    0x51b64f59, 0xae540b1b, 0x7f92dcb1, 0x7e224310, 0x73b0fe85, 0xc8670385, 0x2b8d7cc3, 0x51c6ea9a,
+    0x2987da96, 0x8665dd42, 0xfd280434, 0x476ba212, 0x53a56e62, 0xd37ba451, 0xf33158fd, 0x34264817,
+    0x8941e6e2, 0x30d93784, 0xafd16158, 0xc41541a0, 0x844cd324, 0xc7135b97, 0x8667172f, 0x429990fc,
+    0x5cdf36d4, 0xa0b05fcf, 0xc7ddaece, 0x223060a4, 0xeef250b6, 0xce01691b, 0x20bcdba9, 0x325f2e86,
+    0x65372251, 0x67ee91a2, 0x5d8a4544, 0x44f6295f, 0x83c1b57b, 0x568b7e04, 0x07b787cc, 0x68f8217d,
+    0x3f4a4bbc, 0xd6173c57, 0x4f9094ff, 0xd1c13edd, 0x26841db8, 0x9187c7b6, 0xc4524d55, 0x5f57c10d,
+    0xdf010830, 0x9c85af9f, 0x355f98dc, 0xa83879e0, 0xa5e5d8a3, 0x55a5ff43, 0x1b72116b, 0x322b2b6f,
+    0x05dc8599, 0xdfdc7517, 0x07c807c4, 0x9d2795f9, 0xffdd25f0, 0x0436ba8f, 0xb27751ef, 0x9dba6f55,
+    0x915e8cef, 0x1216076d, 0x6e1f5ba5, 0x870a7dfb, 0x5f426d58, 0x5ad73b81, 0x4e697d41, 0x749f8f83,
+    0xf51afe5f, 0xcb6d5ee6, 0x3989576d, 0x8bef1eee, 0x149c1b88, 0xf7a2e357, 0x134fec3e, 0x29fdd348,
+    0x8780cec6, 0x616609aa, 0x0ae42ec6, 0xcc1b36be, 0xb192aa22, 0x052d846c, 0x6f160527, 0xf8d675d6,
+    0x00000000,
+    0xaad8eb41, 0xce8f892f, 0xf7a77547, 0x67419943, 0x2020b9e1, 0x53a46dab, 0x7f8deceb, 0xd3365b15,
+    0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000096196304190416209014353125244491244\
+                         64130795720328478190417063819395928166869436184427311097384012607618805661696 */
+  { 0x00000000,
+    0x73a4f688, 0xe9e86460, 0x4c8c7be4, 0xac1feaad, 0xb80fbfb1, 0x7091f3f6, 0x1cf44856, 0xe3321069,
+    0x0bbb76bb, 0x1d5c9ed0, 0x1d527bb6, 0xd9b20321, 0xe7b46cf8, 0x54a9cf03, 0x9fc019c7, 0x014a1af3,
+    0x51985558, 0xf87c84fb, 0xadd69cc7, 0xa4387c60, 0xa8c32c51, 0xfc841c57, 0x80c32dbf, 0xea2e5921,
+    0x3920755e, 0x26c82e59, 0xb964c2b5, 0x4ea70c14, 0xc4f8dcb0, 0x1b0973e8, 0xb7942557, 0x25fbe1a7,
+    0xa99d339e, 0xa0e8c43c, 0xa4570c0b, 0xe58fd09f, 0xf3d0690d, 0x098f44ac, 0x03d95adf, 0xa7cde2e6,
+    0x400bc6a4, 0x4022df2d, 0x676b423c, 0x5f4eb236, 0xcc0d0225, 0x6b90b283, 0xaa365cc7, 0xab3b7cc1,
+    0x16eb7645, 0x96af5842, 0xc43ae6c7, 0x9de6b62f, 0x1cef3cab, 0x9b0556e7, 0x4ed68ac1, 0xf128c9f8,
+    0xd2a96047, 0x5832d641, 0x0a4d1e61, 0x3f6ccf25, 0x35b2dc54, 0x9788e937, 0x4ebaebe8, 0x37724acc,
+    0x68d35f71, 0x0e57e480, 0x534cb5ff, 0xe6213058, 0x6c6eb817, 0xb21d3db5, 0x7af2a026, 0xa23daaa9,
+    0x1e2699d2, 0x66bf2a61, 0xecbc3535, 0x75a4af11, 0x1dd4b9b8, 0x7f25e20a, 0xa8cc46dd, 0x638f406e,
+    0x44833a33, 0xd70a7ceb, 0x97b00d04, 0x9bb593f4, 0xa14497fa, 0x5e7a465a, 0xdef9f477, 0x5dc0f5bc,
+    0x4af48e52, 0x9dcdd4da, 0x350079fc, 0x4378ca4b, 0x956b5ac2, 0xf551ccf1, 0x9932aba6, 0x6cbbd237,
+    0xb5c7653d, 0xf0b69cd1, 0x43a8bb01, 0xc2c0ca8c, 0x159ed953, 0x6cba544a, 0xc8c065a9, 0x5716a16b,
+    0x4f120ab1, 0x3c138124, 0x603ec600, 0xdb36f373, 0x9e91df31, 0x6e5b58e9, 0x86f8129e, 0xea27838d,
+    0xb063ea23, 0xecb5ab10, 0xf8015824, 0xcb6d41ec, 0x01f4ea54, 0x3ea9f751, 0x4787df22, 0x68705c1c,
+    0x7ec982ca, 0x9658888b, 0x80842485, 0x5c9171ad, 0x652d80e0, 0x07105c82, 0xa6968e2b, 0x41837067,
+    0xc7ba0194, 0x7a9bb01b, 0x9f9aab0d, 0x5d2ed091, 0x40888eca, 0x951a1be7, 0x8a0ef789, 0x5bd0b25f,
+    0x188d4eb2, 0x5d6d23c1, 0xade57b80, 0xcfa4e2bc, 0x263c31fe, 0xacf2afe9, 0x33cc6281, 0x5be88cf7,
+    0x1347a180, 0x262f5db5, 0x2ce4754d, 0xd533d3df, 0x7a851b2d, 0x1e6c3d0d, 0xa6d258fe, 0xddaa8a18,
+    0x4187dba0, 0x10116b2c, 0xf3e174df, 0x00f390c0, 0xec3fad21, 0x6aa139d7, 0x86236814, 0x8e937b94,
+    0xd4eeea9b, 0x2e62dc8a, 0x5ce00762, 0xd1ccb857, 0x867a77d3, 0xd22c3735, 0xd4de952f, 0x63f96021,
+    0xfd456f5a, 0xfcc8dcf7, 0x85bc5bf7, 0x9911b531, 0x58f6babf, 0x7a5f92e2, 0xca69e2e6, 0x80a74cf3,
+    0x4363706d, 0x1a5f332d, 0xbc75b35e, 0xd8fa0ac7, 0xdf220659, 0x79608903, 0x56016c8a, 0x0cae7462,
+    0x75263161, 0x708ea880, 0x7c90091a, 0xb21064ae, 0x08010cfb, 0xf0960734, 0x98ae6011, 0xf0d477ab,
+    0x30ce5550, 0xf760d405, 0x069d2188, 0xe7486332, 0x7548e822, 0x2c551982, 0x348d9470, 0x395e2cb0,
+    0x7057f6d6, 0xf92f5288, 0x7eb9fc61, 0xe1102b86, 0xcf4b71bd, 0xe4c5ec1b, 0xf2340780, 0x51ebb23d,
+    0x82b91a28, 0xae903f9a, 0xb73749f4, 0x99579740, 0x2a6250ac, 0xc29ba358, 0xf405140f, 0x3addb64c,
+    0x794c9ba9, 0xeb344064, 0xc90ec0d1, 0xd4d9fac3, 0x7f1e41eb, 0xbfe10f5e, 0xd0de7ece, 0x9ed654d0,
+    0xb526b3ee, 0x5aafa9e8, 0xad6d0c69, 0xbcc2c18b, 0xbcaaacea, 0xbfaf432d, 0xc81ce44e, 0x397859f9,
+    0xd5129666, 0x710ec5bc, 0x6acec8c2, 0x556ceaa8, 0xdd78a6fd, 0xb9420715, 0x5b033f5c, 0xcd565be6,
+    0x6721d649, 0x11344067, 0x2961f7ca, 0xf9a6fb5d, 0xfa6a055e, 0x418f71b0, 0x5ff6e05a, 0x8033c070,
+    0xde368315, 0xc98c6419, 0x5aee6d4b, 0x2f0f9f35, 0xd49d96fc, 0x31901994, 0x4e31bae5, 0x3816b825,
+    0x9bd7da22, 0xe3fb9ac2, 0xeb8a87f5, 0x93aa0337, 0xc6a2cc2f, 0x4cb96fa1, 0x92714cb3, 0xb6af8c81,
+    0xdfd03fd8, 0xe0022a13, 0x26e69e3f, 0xfb6ed06d, 0xb8868ef8, 0xa455f150, 0xdb352b6c, 0x172bb9fe,
+    0x96ab2f86, 0x7ae2e87f, 0x53a2eb8e, 0xb0213761, 0xaa577f62, 0x05d3f3c2, 0xc4460b1c, 0xe1291629,
+    0xc6cb103d, 0x29dcc2ff, 0x5b01e2ba, 0x7c7cdb56, 0x5dd0b1a1, 0x5bad3a0e, 0xed09706b, 0x57a50e64,
+    0x3c551150, 0xf0770794, 0x6e00c52f, 0xa75e7390, 0x39c56fde, 0xd837f178, 0xf4b9fcc4, 0xb75dd290,
+    0x6c077aec, 0xbe1014c3, 0x1c500214, 0xfd7a48f3, 0x4e2e1388, 0xd6ef9deb, 0x650a7f52, 0x9b0da5e6,
+    0x47d7135c, 0xc36edb0e, 0x0b0eb84a, 0x5c14cce5, 0x313ba388, 0xf409b74a, 0xc177a728, 0x440baad3,
+    0x7fd4c2ba, 0x1699430e, 0xb8f3b872, 0x9f5b2ae1, 0x7616a8bd, 0x33979f62, 0x570388ec, 0xf4b780e8,
+    0x9d4bf071, 0x50997101, 0xf518276c, 0x7d25b9ca, 0x45649017, 0x3ac34452, 0x28ca77dd, 0x36827bb4,
+    0x2b1f8c49, 0xaaeab502, 0xb26d82c2, 0x8c8f765b, 0x94880fb2, 0x7ee8194c, 0xe39b0706, 0xb4145f95,
+    0x92e8f18c, 0x7404b8ff, 0x102a7942, 0xe82a21e4, 0xf1e2569f, 0x16a50c83, 0xb9f7b0b1, 0x57efba96,
+    0xfe322bc4, 0xe734cf0e, 0x5334cd70, 0x40f91be1, 0x48f35a08, 0x5bbd2af9, 0x2076eac8, 0x6a310b5d,
+    0x59aa64c5, 0x1ea48c45, 0xdd1a216e, 0xaf7991f0, 0x6c3200a3, 0x5c113ad1, 0xb9d1fb35, 0x4508d2a6,
+    0x51570863, 0xfea6b012, 0xb758bc7c, 0xb8a53673, 0x03d65ebc, 0x7b51c753, 0xecf90431, 0x6a4e6d34,
+    0xa7698e5b, 0xdd25a74d, 0x7fa1e7fd, 0xc8552912, 0x97e5cc6a, 0xb5379a4a, 0xe0edf5c8, 0xdd812549,
+    0xd37ad5d2, 0x4d3ff5a3, 0x05814408, 0x92e3b86f, 0x3adf94fb, 0xcbd07880, 0xfa7d14fd, 0xf54bb19d,
+    0xe3e7ff22, 0x9918fe0c, 0xbf9ddb25, 0x2808a3ba, 0x07c2de2e, 0x05180011, 0x87b1f54a, 0x396153e3,
+    0x0377c93a, 0x69d0216c, 0xe39972e6, 0xeabbb790, 0xc1513787, 0x44db9c0c, 0xfc07662a, 0xed290d24,
+    0x88163073, 0xba013d99, 0xde035bf2, 0x48f81997, 0x6f387728, 0xeea2b786, 0x8ec04529, 0xeeeac69d,
+    0x2cd0756c, 0xeeb1c097, 0xf86acb6e, 0xb8364e27, 0xe9b0fea2, 0xc87e98d1, 0xb43a5f72, 0xdfb01597,
+    0xa729d21d, 0xd725e739, 0xc7eb324d, 0x4e2a0df1, 0xd4a776d3, 0x17c91723, 0xaeddf62f, 0x61119d29,
+    0x8bedee18, 0xf0af0fc7, 0x79675e3b, 0xdd34b66c, 0x25f9f998, 0x1a43d88e, 0xc787e688, 0x02e131c9,
+    0xf571ce27, 0x99b27a64, 0x84ed46bf, 0x6cd20f5f, 0xdce1dc34, 0xbc092783, 0x0c5c8355, 0x9575c43e,
+    0x927c8ad8, 0xb1738bcc, 0x536fd02a, 0x87440ebf, 0x2c7fbeff, 0xc1ed097b, 0x3dc77398, 0x99889cfd,
+    0x2f275cf9, 0x818abf78, 0xf2d2d297, 0x58f13802, 0x8bd86864, 0x916bc1e5, 0x58236296, 0xd305eb86,
+    0xbcd9ee88, 0xe0b262d1, 0xd69f9c3b, 0x879f5b00, 0xc4544915, 0xd75e5e06, 0x55f00601, 0x5a27f052,
+    0x6dadb951, 0x2fe2df13, 0x92a124f9, 0x5cc37bf9, 0x3cb6942e, 0x3969e9ae, 0x51ac020c, 0x964dd2a5,
+    0xd86f1030, 0xb3b1cfd9, 0x5486370f, 0xb0120180, 0xf4300f44, 0xf9f4679d, 0x0f1d2912, 0xf10c0065,
+    0x76cc77ff, 0x6692c875, 0x6fb40ba4, 0xc5f6436e, 0x648d7a36, 0x7d7362c9, 0x9dd2ab72, 0x18800702,
+    0x1a9584d0, 0x7612d341, 0x04d314a4, 0x70bc636b, 0x5a231752, 0x91b13901, 0x495d38ae, 0x540d42bb,
+    0x2d40bd6b, 0x9f4bdff8, 0x86d80eeb, 0x4e28d317, 0xd30791d0, 0x69efdeb7, 0xa7b98ad9, 0xaf6fdef7,
+    0x5bd70024, 0xf9863982, 0x34d4fe40, 0x071f8911, 0xb4665d97, 0xac8b5553, 0x629e1e4f, 0x8ba5c238,
+    0x6be0f492, 0xa8af6749, 0xb647a05f, 0x0d2aa914, 0x98b2fa8e, 0xf48cc113, 0x4f49811a, 0xbb9f8e00,
+    0x820fc068, 0x4c0e8331, 0x2c9fc2db, 0x19778b5e, 0x861b4116, 0x87442c73, 0x0bc6e61d, 0x16c2a066,
+    0xec976f53, 0x37f012a4, 0x5eedba41, 0x3ac3b0ba, 0xcd0dc401, 0x7ff998b1, 0x452d6b9a, 0xb6c9c7a2,
+    0x2687fb4b, 0x4d738376, 0xd5c678c6, 0x4c112306, 0xdfa8e782, 0x6e2bf09f, 0x3e7eea6f, 0x50f26c87,
+    0x0f1364ed, 0x4feb38ed, 0xe37493e8, 0x1c9d5c48, 0xf4d1a2bc, 0x9c73896d, 0x0b821978, 0xe889480d,
+    0x9eb27069, 0x41ac189e, 0xfb6794e5, 0x4334101d, 0x2ac21d94, 0xdd2aab54, 0x12e74f31, 0x47900f66,
+    0xfe80c67b, 0x10f29979, 0x4678f567, 0x66ebe9f0, 0xaa53296a, 0x45eb53f9, 0x249dcf24, 0x06bd1e3b,
+    0x993a125b, 0x0b7e256b, 0x7b553b9e, 0x273128bd, 0xbf96dcd6, 0x6d023378, 0x5e963571, 0x41e02c2b,
+    0x798a1b41, 0x8faaa716, 0x3c6aa145, 0x934b2707, 0x3649ad93, 0x6e310a75, 0x50dc86ef, 0xaed7d20c,
+    0x50e6962a, 0x715c0b7a, 0x6ac3431b, 0xca84cf3a, 0xa737551c, 0x5cefce85, 0xa5a0a2a9, 0xe34c80a4,
+    0x5f60c224, 0x0d804e5b, 0x47d8db5e, 0x737d9141, 0x16478c1f, 0x47a3d3cb, 0x4f89bde5, 0x185205eb,
+    0x917cf6b3, 0x40f30d3e, 0xefd8b19e, 0x88e8795d, 0xde55283b, 0x1d1d0ba8, 0xdfd69d18, 0x70919289,
+    0xbaa11a54, 0x4762df09, 0xd3f093ec, 0xddbfebc3, 0x3a943571, 0xb2b3bd0b, 0xd8fde8ba, 0x31c1ead9,
+    0x87b07223, 0xf8fa3cce, 0xebc8e3e5, 0x58d04eac, 0x1b341f4c, 0x8cc6a10d, 0x05d23eab, 0x54357ad9,
+    0xd546dbb5, 0x531c8e80, 0x7bd6ba6d, 0xa5c5e596, 0x23b2cc89, 0x6c452686, 0x5b4cbc17, 0x326728d0,
+    0xfdf238b0, 0xb659c837, 0xa0a3b6a4, 0x7ceb0411, 0x574064fc, 0x49a3eb03, 0xfb1a16b2, 0x64b8d8e7,
+    0xdd7ea70c, 0xf60000c8, 0x1d218ad6, 0xf34b0c55, 0xbfa2bea6, 0x102f8e7b, 0x2eb6adad, 0xa478bbab,
+    0x63cbbaac, 0x0a9a109e, 0x7ddbda25, 0x50f3d29c, 0xb58a2a65, 0x3a2e5ebb, 0xbeb101ed, 0xa31b1631,
+    0xda62113e, 0x0023256e, 0xbb4bd25f, 0x2f43c5e0, 0x1478a5b0, 0x949186ae, 0xe799186d, 0x5fa5a746,
+    0xac3da408, 0x5c01d2a7, 0x0c4c5142, 0x54146283, 0xf4ac3b7c, 0x18abaef2, 0xd6ff94e9, 0xaefb8297,
+    0x535000b9, 0x6dda499f, 0xae58bd05, 0xdd0cce6a, 0xa01421f7, 0x7564ab71, 0x9b7c0b32, 0x43d76231,
+    0x80ec533f, 0x9079642c, 0x26b9bfd1, 0x950b3a46, 0x45aa45db, 0x3b30cccf, 0xc3335949, 0xb59899d2,
+    0xce1205b9, 0x009b6f87, 0x78e9c14c, 0x4cd7e08b, 0x7b7a4c2a, 0x3a0791fb, 0xd6dcb58f, 0xde2568f6,
+    0x1f1ef600, 0xb629afab, 0x21016ca3, 0x14ecc6d6, 0x887929e7, 0xacb40726, 0xe723fc71, 0x72632572,
+    0xd67a0b51, 0x21276476, 0x91f2c38e, 0xb1d5acfb, 0x1c8b1cee, 0x9c0d1984, 0x99721be5, 0x17d1c9ab,
+    0x3a95ff0f, 0xb3ce0536, 0x5fbc23d5, 0xdf91daec, 0xb714536b, 0x8d18974a, 0xb98329cd, 0x7be180cd,
+    0x6e7ff28a, 0x6340bd73, 0x76564853, 0x1b73a8d9, 0xb95382aa, 0x8f97ec3d, 0x93af95ef, 0x4fda22b1,
+    0x444f85ce, 0x0d7893ea, 0x022c9231, 0x7ba126d2, 0x6e84b4d3, 0x9566803b, 0x3e8d7e78, 0xc8169e29,
+    0xf6d908bf, 0x390f7be5, 0xed7716b8, 0x7e41a526, 0x057a11ed, 0xf2c10ef6, 0x53754c40, 0x9556d52f,
+    0x4cb23ea8, 0xbd2ff742, 0xb0735218, 0xf67b4a41, 0x90803161, 0x4ea76fbb, 0xa2bc08d4, 0x95327e28,
+    0x785821b9, 0x42bf5c39, 0x85a443d8, 0xdd8ab73b, 0x4d08d104, 0xb429041d, 0x98425c7a, 0xe96d685c,
+    0xc0887f9d, 0x861ba3af, 0x69206f01, 0x27acf01a, 0x939b2e93, 0x7c5eca9f, 0x2aff3e25, 0xf8c8d667,
+    0x023f8f73, 0xc4fbc895, 0x7149044a, 0xadb8c317, 0x23266146, 0x802fdff9, 0xc7743ad7, 0x9740b73e,
+    0x493bf537, 0x3acfa7c8, 0x9c05a029, 0x4585468c, 0xf73ee510, 0xd3e77a5e, 0xb28bb922, 0x0d56d967,
+    0x41f3e621, 0x9d4a2fb9, 0xe4a617b6, 0x4533ec29, 0xa153106a, 0xfaedd371, 0x64f656f4, 0xee2f137f,
+    0x3d25d1e3, 0x0f44841e, 0x770e4ea9, 0xd2973a73, 0xb7dc6f74, 0xda147e03, 0xf206b1ff, 0x8acb2ceb,
+    0x92419ea7, 0xbb40d0c4, 0x6c4b108f, 0xb023388f, 0xdcbde130, 0xe88836dc, 0x27c0e5ad, 0x221ca268,
+    0x219f4d18, 0xdc94aa56, 0x30b02658, 0x84dd70c4, 0xb729912d, 0x002f34cf, 0x149bbae1, 0x3f6b6d2f,
+    0xc413293e, 0x5de06a32, 0xacfd42c6, 0x0292b8ce, 0xf8c80a34, 0x36b8ad01, 0x297a439e, 0x4dd7bf04,
+    0x47585f39, 0x0d4d2d3f, 0xc88bafe9, 0x32c038a7, 0x0bf26b23, 0x8aa260ce, 0x2b5436db, 0x925bbb0b,
+    0x8385ef33, 0x2ce7ea04, 0x8179f67d, 0xf3505239, 0x853da799, 0x3e709abf, 0xac7af18a, 0x451a96d0,
+    0xa2d01230, 0x10279a56, 0x0a22b716, 0xeccc498f, 0xd6195ca0, 0x48ac84b1, 0x1f40ae4f, 0x216275e8,
+    0x16f39703, 0xd359994f, 0x0e205ad7, 0x16040b1e, 0x79fb32d6, 0x5409a67d, 0x834cdbad, 0x93e40c16,
+    0xe2e9d45e, 0x155a214c, 0x33233c17, 0x84a403ed, 0x295d5cc0, 0xea26dc56, 0x47bc8ee6, 0x1e31b24c,
+    0x9f27151e, 0x0025c4f8, 0x72ad382c, 0xcdb59053, 0xc342b368, 0xe1f13179, 0x2a6a1463, 0x4e402e70,
+    0x7397c528, 0xc9a7486f, 0x2a22a275, 0x434a3e66, 0x8596b505, 0xfc18fa58, 0xfdef98ca, 0x5647d9ff,
+    0xf9557ff4, 0x03701fc3, 0x8873732c, 0xbff5d724, 0x0952ebf4, 0xfd00ceed, 0x07e2fc90, 0x9103cde8,
+    0xd06d3821, 0xbb21f7ac, 0x90c01772, 0x107c0ffb, 0xa00e9d3f, 0x4647bb65, 0x4ef32039, 0x1f8cc8ad,
+    0x8562f0bf, 0xdbbd42e9, 0xedc864a9, 0x92fd4744, 0x2ed66246, 0xbd466af4, 0xb1c012e0, 0xcec0fae7,
+    0x2c8ee725, 0x24bf9bd4, 0x979d614f, 0xaf5f58ee, 0x8ab93bce, 0xc35cdd18, 0x56b4a7e1, 0xe8cc5f9e,
+    0x8eb999cb, 0xf85469d6, 0x71920d74, 0x100d77f8, 0x5dd9e684, 0xd7d0d703, 0x07f19996, 0x2a1a97a2,
+    0x12c6f46e, 0x3c8bf6f6, 0xa72f2a9e, 0xde7c3409, 0xef491580, 0x2f4c0d90, 0xd5d78ad0, 0x447f7ed2,
+    0x0be5497e, 0x54c1b30b, 0x9fcd3c4f, 0x09f60dc7, 0xe30a5a32, 0x1472ae41, 0x61eda234, 0x2571b518,
+    0xed3902d2, 0xad09d1c6, 0xf2bc8476, 0x1eb9a342, 0x8dd1191f, 0x6c352211, 0xfc8a5114, 0x8794ee2a,
+    0xbbcb86a1, 0x98abeebd, 0x6dca41dc, 0x5b259c95, 0xd4fe8840, 0x92e94d6c, 0x4513fb1d, 0x2a56cddf,
+    0x1cb118c7, 0xc5713efb, 0xa4dc6d2d, 0x1e6ba03f, 0x11e2c77b, 0x738d5a27, 0x54c75209, 0xc9daac38,
+    0xd7d71d7a, 0x26b4a262, 0xb04ca2a0, 0xe023ddaa, 0xa9d74819, 0xcb90537a, 0xb6bc2476, 0x5dfc829d,
+    0x2eb9fa43, 0x6568604d, 0xf4b5c2d6, 0xdc81a1e8, 0x6e3bfe36, 0x425ce7ae, 0x77dac04b, 0x55f2a453,
+    0xd4961f0b, 0x04f3cad7, 0x38d9a99b, 0x3ef0c04a, 0x993e564d, 0x2f67f089, 0x1b5ad3af, 0x9e7802fa,
+    0x6c4aca11, 0xcdcf4762, 0x94f4875e, 0x342ded2c, 0xc6cb784e, 0x77ff58c6, 0x12ac1a17, 0x2a15ef10,
+    0xb8e15fc4, 0x60543c66, 0xc58c7052, 0x8faf5599, 0x2737d2d5, 0x6170dd6f, 0x44d64140, 0xece49785,
+    0xa7b8d974, 0x3925e4b3, 0x836047e7, 0x12960f6e, 0x7857a158, 0xcde44566, 0x68ab976f, 0xb27818dd,
+    0x00000000,
+    0xd56c75a0, 0xe747c497, 0xfbd3baa3, 0xb3a0cca1, 0x90105cf0, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a,
+    0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000048098152095208104507176562622245622\
+                         32065397860164239095208531909697964083434718092213655548692006303809402830848 */
+  { 0x00000000,
+    0xf75b43bb, 0xb8159bd7, 0x67562e50, 0x0c2dae73, 0x67131f1a, 0x55cbf989, 0xa8fe241c, 0xc83888fb,
+    0x143a2f45, 0x67eaa312, 0xb4d764cc, 0x00f693f0, 0xa5a20891, 0xb5f90955, 0xd6fa4ad8, 0x9445f342,
+    0xc43ec3d3, 0xb13f149f, 0x072a9ce5, 0x20afbcf7, 0xf5483a72, 0x93ff12c3, 0xb4f29297, 0xc49b6125,
+    0xbcedcc8b, 0x02a8b86b, 0x00263937, 0x1e329aaf, 0x559a58ee, 0x53d0d3de, 0xbfc28851, 0x46c551f5,
+    0x8ae9659c, 0x0e844713, 0xe4c89ddc, 0x31524e70, 0x3c7bec2d, 0x905bf114, 0x133472a6, 0xa2b26d66,
+    0x04193650, 0x57d070d3, 0x33715c88, 0xd6f46e4a, 0x82ae0bd6, 0x7913763d, 0x52793cb9, 0xe53f0fa3,
+    0x578b72cb, 0xf671228d, 0x10e0119b, 0x134eea56, 0x353dafaf, 0xd369ada9, 0x49a1d5d8, 0xb1260e28,
+    0x52803539, 0x1631db6c, 0x0f12f3e3, 0x54fc604b, 0xd66a66e4, 0x4facff61, 0xde2be32f, 0x3ccdf65f,
+    0x132baaad, 0xc432e41d, 0xb33aeeba, 0x68f0b903, 0x2e468bf9, 0xccef6a56, 0x2250a4dd, 0x26ce3feb,
+    0x654f736b, 0xf50bc917, 0xfe0bd765, 0xd6fdaad2, 0xf1d1c853, 0xeed6c2fc, 0x1ef42b16, 0x4c95f142,
+    0x69b977e7, 0x9056e0d6, 0x20adc8ad, 0xa7418f02, 0x6bd453d9, 0x605daf71, 0xf46377c9, 0xb299a8bf,
+    0xc11f5fd5, 0x457867c1, 0xc4f43910, 0x4a1bcdab, 0xed82350f, 0xbc507d25, 0x6080ba50, 0x47f4eb8f,
+    0x3ba87e62, 0xb908832f, 0xa1ca0b31, 0xbe878252, 0x6be6acd8, 0x9d0bccf6, 0xbbe9c8d5, 0x057e0ff5,
+    0x417aea28, 0x28d1d7cd, 0x3e944bec, 0xde2bdffc, 0x81f06863, 0xa12f7f1f, 0x5d6421c9, 0x9da98307,
+    0x99d0d22d, 0xd79b531c, 0x122e6685, 0x164e0a0d, 0x83058198, 0x0175b8e3, 0x42e8a140, 0x54c3ce89,
+    0xe4e96380, 0xf16f00ed, 0xabe679bd, 0xc5ccd69a, 0x95c5cdef, 0x4043a8a7, 0x05ccd6b8, 0x573ca80b,
+    0x5b323696, 0x47660790, 0xdfcaeb15, 0xbea0b1b4, 0x3afc2c05, 0x8a00c5a0, 0x13f3dab9, 0x567bc3a8,
+    0xa7d83e97, 0xde3ded61, 0x6f74f5ea, 0x79162010, 0xa233bd48, 0x3824c4e6, 0x47e9fb90, 0xd132d0d7,
+    0x9a083f26, 0x5ca5c159, 0x90100ae3, 0x623ce12d, 0x53e08cba, 0x5e5d6b3c, 0x7e786aed, 0xcdce3abd,
+    0xd83fcf5d, 0x0801fa5c, 0x73b29a27, 0x888bf06a, 0xd14e2c25, 0xeef32867, 0x93f03968, 0x7982c0ef,
+    0xa8cab671, 0xe9d3e815, 0x9af8a61a, 0xa26f69bd, 0x18d72517, 0xf1f616b6, 0x6a48315b, 0xc79eeb64,
+    0xfd078076, 0x6985e6b5, 0xbb8f09b6, 0xc5c27dcb, 0x366a4886, 0x21abc20d, 0x2b294d1c, 0x533b7042,
+    0xb581638a, 0x56248875, 0x4ca52601, 0xd653061c, 0xf782015b, 0x7d25446f, 0xd4ac19d3, 0xb4170f23,
+    0xf7b14a73, 0xc26d4d6d, 0x9e967312, 0xe2f10bcb, 0x95b77578, 0x5bcd39ec, 0xf3a2e0b8, 0x7049262e,
+    0xea48bf4e, 0x665b0e5d, 0x337548fd, 0xbd22fc20, 0x92bd3fdf, 0x0dc29ba1, 0x326be7be, 0xb707f63b,
+    0x70375c13, 0x7034317e, 0x57c24eaa, 0xed5a6f62, 0xf2781ee9, 0x418a15f2, 0xe41cda33, 0xfb845ac6,
+    0xd69ce7f4, 0xbbcdac20, 0xdad8e8f1, 0x8d6696b4, 0x87c2461e, 0x7b41bf52, 0x2f14a3c2, 0xe485123f,
+    0x96964d30, 0x4c13e4c7, 0x4d5c9a03, 0xca6c4166, 0x7ad74826, 0x1b935a12, 0xd2fc186e, 0x0aac3974,
+    0x046afc07, 0x02a5a0aa, 0x662cbca2, 0x63f7b6a1, 0xfc64cef2, 0xa722378c, 0xb0773b9b, 0xf4657363,
+    0x143cf513, 0x27fc54b0, 0x357c7899, 0xc0b1b6f9, 0x75e23fce, 0x348b5777, 0x8fd9c6a3, 0x9bb68af0,
+    0x6851b23b, 0xdc880e81, 0x0214e196, 0x0c365be2, 0x79188f97, 0x0afe7809, 0xac86a278, 0xe8b09ac1,
+    0x24dc0153, 0xa5ec00ff, 0x1d8808e7, 0x81995a18, 0xe9691d94, 0xd65cfacd, 0x5bf47d7b, 0x9690d80e,
+    0x8262cb84, 0x72ff6c70, 0xfd5d9463, 0x612a83ac, 0x41ff97d7, 0x3fc41389, 0x576c1234, 0x4a83c34c,
+    0x7d7483ea, 0xe0997d8e, 0xc3aec7cc, 0xf4041180, 0x3b6155ec, 0xddab576c, 0xe346df32, 0xbfc755ec,
+    0x382b511d, 0x63f00eaa, 0xc2e52b7e, 0xf330340e, 0x2912d1fe, 0xd9b85c02, 0x476831fa, 0xfb1a84a4,
+    0xd8d7270f, 0xc19b699c, 0x050f4910, 0x48862065, 0x159f7798, 0x611e0c7b, 0x29c20eba, 0xcf0b3655,
+    0x7ed50f89, 0x12f5e2ac, 0x0354c92f, 0xf53d9040, 0xd91493cb, 0x27cf2e88, 0x7aebbdaf, 0x88a297a7,
+    0x8bb4ea26, 0x37e55de5, 0xebad8be0, 0x4a2c7f2e, 0x051faf95, 0x34a2e469, 0xadea126a, 0x9616c943,
+    0x26d14441, 0xba196a12, 0xc9d55af2, 0x6ce954e7, 0xcef8cd48, 0x0076d1eb, 0x48371471, 0xc26fa62a,
+    0x226fc354, 0x1c74d53c, 0xfb018162, 0x16eecd96, 0x56e067cd, 0x77aa62fb, 0x9150e2cf, 0xe79a7e71,
+    0xeeac946e, 0x1af164ec, 0x102ffa95, 0x3007f532, 0xe3460429, 0x3d4f6171, 0x1f5e7e40, 0x02c44770,
+    0xf1f50f70, 0xfce42675, 0xc47b3545, 0xb97ab6c0, 0x0b75118f, 0x07487d73, 0xc72f0b13, 0x5aa986e6,
+    0x28f82e8c, 0xff76e60b, 0x242cdb95, 0x295fea20, 0xccf4c9f9, 0xef99ed4a, 0x70b19aab, 0x94d4532f,
+    0xb0aa7189, 0xe8d885a1, 0x98344a9c, 0xd5054cb9, 0x8a1c8962, 0x6f401d7a, 0xafa02e06, 0xc616fe58,
+    0xe6d8ebfe, 0x44c7a9e4, 0xf7622202, 0x2d01377f, 0x1814b729, 0x7dc07bfb, 0x5bbd4f87, 0xf943075a,
+    0x683c5d8a, 0x26424c99, 0xc4c1cc59, 0x7e409ab2, 0x4f703059, 0xf91e8e4d, 0x0dbd268c, 0x7b1ec3bb,
+    0xc206a671, 0x357a6614, 0x97751cc1, 0xb8392da6, 0x81f3febf, 0xa2207f7d, 0x35b8b8a5, 0x2ec37d24,
+    0x1c24ce4b, 0xffa0b355, 0x2139c8b7, 0x434d03c2, 0xdf30a4cb, 0x06624379, 0xa464bb0c, 0x8945ff7e,
+    0xc8a2eda6, 0xf0c66f15, 0x225aac68, 0x06e68b22, 0x077d5525, 0x51a0c4df, 0x4ea4fef1, 0x071cdc30,
+    0xf0f2c806, 0xd12fc60e, 0xda8f3b44, 0x847a56dd, 0xa46af0f3, 0xfdedb7b6, 0x7ff5007a, 0x6fa72c6f,
+    0xb3b63722, 0x54fbbda5, 0x8a6b91a0, 0xfff66738, 0x57dac510, 0x98e4f84b, 0x53e9119b, 0x609a163b,
+    0x551253bd, 0x803edd67, 0x04a387c2, 0x81ec8980, 0x5c35237c, 0xd7e0b3a7, 0x901a3965, 0x98dd288a,
+    0x42eedbba, 0x0da1f3e5, 0xb561d36e, 0x892a6542, 0xb2651a0f, 0xd0aa756d, 0x00c83733, 0x391f3540,
+    0xf3c93e2b, 0xcf5f13ae, 0x8a3a6011, 0x97f221c9, 0xd1478c09, 0xf47dffc4, 0xa6024577, 0x4a3293af,
+    0x8ef5d640, 0x1478c8e1, 0x28ee19d2, 0x98a6d8d0, 0xb0b62a57, 0x304917a5, 0xa50721ae, 0xb78d9f1b,
+    0x85855e6f, 0x8d7baa61, 0x7648808a, 0xd720d86a, 0xfbfe9a72, 0x91fe617d, 0xbc19def5, 0xe96f9d09,
+    0xb3186175, 0xb0ca8925, 0xacef20d8, 0x5ee87116, 0x2ee5cf42, 0x9f41da1b, 0x026db346, 0xebf9d53f,
+    0x558c9922, 0xfb6d9d2b, 0x0d2748b3, 0x91973a67, 0x853634bc, 0x7b9b6f07, 0x73599a5b, 0x6bf0ed27,
+    0x885f2347, 0x277c39a7, 0x741e0680, 0x75141b36, 0x6cc0ce85, 0xf91a5243, 0x69e0604b, 0x2cf35a3a,
+    0x89a61c64, 0x3f7e6ad3, 0x19526999, 0x407f6986, 0x5d84d171, 0x4d58f0d7, 0xc32c5291, 0x58e56e34,
+    0xfd7938fb, 0x05c72223, 0xf4fe239a, 0x8a398053, 0xcaaa78ec, 0x3b3cb2fa, 0xd4c06a34, 0x89be3420,
+    0xe967fac0, 0x4a76bc0b, 0xc3c6468d, 0x1adcc6ad, 0x8f572214, 0xa94e4523, 0xda972d98, 0x4bdb579b,
+    0x553a8c8a, 0x26cb7ae1, 0x9a25d4f3, 0xfca2a709, 0xaf8014ba, 0xf7b24819, 0x96a26453, 0x54672ad9,
+    0x1db09cb6, 0xaf7fc6f5, 0xd69135c1, 0x209815f3, 0xf236ad6a, 0x5d1052b3, 0xf6a3e2aa, 0x4bf0607a,
+    0xfbf3ae6b, 0x9009d67f, 0x33d6048a, 0xb76fae3c, 0xd40fc7b0, 0x17847702, 0xfec8e541, 0xcee4ceb1,
+    0xf8820924, 0x7b355bb2, 0x6d3347bf, 0x01689b19, 0xa7bc36ae, 0x2808f0c6, 0x3b5ef47f, 0xbf310ce8,
+    0xf54d907e, 0x1c56b2f5, 0x579a973e, 0x98f33cac, 0x1c92b6ec, 0x5b89b37e, 0x8fe685e0, 0x5f0c48d6,
+    0x35e525a1, 0x647dd25c, 0x92d6b818, 0xc09855a0, 0xbceda689, 0xc61afa85, 0xd590d106, 0x9f1db413,
+    0x599988a6, 0x7c8566db, 0xe53ef4de, 0xb2bd9597, 0x54c61b12, 0x898875d9, 0x2ff473da, 0x55bc76bd,
+    0xd4354b3f, 0x78cf1c19, 0x62a2542d, 0xea52d0fc, 0x05495e95, 0xf8f87b2a, 0xfc8d42c5, 0xa58046e5,
+    0xca1b2925, 0x2407e751, 0xe72c49c5, 0xc7ca95fc, 0xb8819939, 0x80a1dafb, 0x8221e017, 0xd16466f9,
+    0x9b4de1d8, 0x415dccc8, 0x69684b1c, 0x2deb3956, 0x8084b215, 0x6c9614c6, 0xed9ee914, 0xbbe89545,
+    0x3a50c080, 0x68a5628c, 0x0501d0ba, 0xa259fafb, 0xd2e3f141, 0x00644d22, 0xb2de2b6d, 0x60ff7977,
+    0xe8cee236, 0x54964020, 0xf3564ac3, 0x32f3c619, 0x95356b35, 0xd2c6b40d, 0x2ff01265, 0xbe25c69d,
+    0x76e7d1d1, 0x2e135719, 0xf4377788, 0x80aedcb0, 0x5670ee5d, 0x49605485, 0xd9e26829, 0xd12f9670,
+    0x2889524e, 0xfdf603c8, 0xbdce6925, 0xc2f1aa87, 0x01cfc947, 0xe631e12f, 0x15a6ce31, 0x2952f443,
+    0x458594de, 0x2d564afb, 0x52de0234, 0x6f3c9128, 0x60c5352e, 0x18649520, 0xf76f64d3, 0xc1666139,
+    0xa327b3c5, 0x154d452b, 0xecfde78f, 0xda64d27c, 0xbf531ccb, 0x6e1f1134, 0x1397d4e9, 0xe4560f1c,
+    0xb05a3a7c, 0x575cb72b, 0xff3d7d11, 0xa1f9e817, 0x35459aea, 0x35d1bd33, 0x720edb15, 0x078dcbc4,
+    0x1792becd, 0xe7d1b4ca, 0x04f252be, 0xa2bd03dc, 0xae90c310, 0xfc63eca2, 0xba41c0b7, 0xcdc37cb2,
+    0x4199f42a, 0xabf4baab, 0x9ee791ea, 0x62a9b1c9, 0xe36cb95c, 0x326abcb2, 0x38051917, 0xe701af00,
+    0xb24d68b2, 0xfe91ea7b, 0x66a20a7f, 0x3c6e0216, 0x215b381e, 0x75667874, 0x33dbc8f8, 0xf7f71dc0,
+    0xeaed3dbf, 0xe8ccc5bf, 0xfba7e1db, 0x7c62a947, 0x2e6d42ff, 0xd9f7a9fa, 0x97027e0d, 0xe6c846d8,
+    0xaa4cfb63, 0xcec7d4ba, 0x3837965d, 0x8779102e, 0x54c14b30, 0x48d311a1, 0x5d0837ec, 0x54056984,
+    0xd990aba5, 0xf643f15b, 0x401a5fae, 0x7ae78b6e, 0x052934ca, 0x5ced3468, 0x5bd0728f, 0x1f4e98a9,
+    0x5511a3fb, 0xec4b5ac3, 0xe548ab3b, 0xf0badf88, 0xe961c7ef, 0xeb3ef9e8, 0xb692a498, 0x81576819,
+    0xbb6070b7, 0x5edc4984, 0xa6c78892, 0xb68090e7, 0x16c5103f, 0x2ede7f07, 0xdeb2efb3, 0x57319bda,
+    0xc1eba70f, 0x941c32ce, 0xb809f427, 0xde3a60e2, 0x3d19b835, 0xcf46ed61, 0x32b8fa8f, 0x569eef96,
+    0xc70d33a9, 0xbab49c97, 0x72fb358a, 0xfbd44995, 0x87c0ccd8, 0x89e7ff43, 0xe72132df, 0xb29c7e20,
+    0xc987a48c, 0x9ae980b7, 0xaa466275, 0x6f4541a0, 0x9cc9ef4d, 0xc6abf438, 0x3ef0f60d, 0x4965e4f1,
+    0xeac2dd72, 0x83f46eb7, 0x164b2055, 0x647178fa, 0x46d3f4ec, 0x84e97cfd, 0x586784c5, 0xffc0fbfb,
+    0x0af13f14, 0x1db4f2e0, 0x92fb884c, 0x060ba94a, 0x0c9969ff, 0xe885dda0, 0xaea769b7, 0x99355263,
+    0x4ef72588, 0xbb989b3e, 0x17b83d5a, 0xc3bb7457, 0x1d8d6a23, 0x42202f17, 0x8e9e9271, 0xd5191f17,
+    0x8bdc0bf7, 0x186b120c, 0xfbfe44f2, 0x59926319, 0x25ba2453, 0xa07a7d44, 0xe3a58870, 0x2fe1dd02,
+    0x85aed0f3, 0x1e4bde74, 0x5cf6faa3, 0x96c12b7a, 0x2ef75fc6, 0xdf067e90, 0xf3dd6ab5, 0xdfa4d988,
+    0xdde145a2, 0xfee3b0c9, 0xdc759587, 0x788e69c0, 0x327091d6, 0x266d1f0d, 0xa02c8874, 0x5ecd0c6a,
+    0x7b32fd7e, 0xf6829540, 0xca40d51d, 0x5a26d140, 0xe9167a17, 0x71de29ea, 0xc71ec13e, 0xbb398821,
+    0x419f4fee, 0xdf22c417, 0x811a4a03, 0xfa4afafe, 0xcdb6a39c, 0x4e085438, 0x63571bcd, 0x2fc89094,
+    0x63e1c3ee, 0x0f98bb72, 0xa75baa5a, 0x5570409c, 0xa19a0565, 0x2a1cb610, 0x91654736, 0xf428d7ce,
+    0x27f3d412, 0xdf9f8db0, 0x06576869, 0xc71fe590, 0x49afd50b, 0xf4800c58, 0x5047df12, 0xaad6abe1,
+    0x6e82138a, 0x7053d6ac, 0xe549f337, 0x701c1c6a, 0x715b0f3c, 0x5c7e76c2, 0xa9cfbcab, 0xa8d06306,
+    0xb7376665, 0x269a2087, 0xbbe2c6e1, 0x62a3971c, 0xdb433e11, 0xd9459605, 0x0759d1d7, 0x9b42f033,
+    0x8b7d80c3, 0xef291915, 0xfab95a89, 0xc2c84341, 0x50fa192f, 0x9d6155fb, 0xe6140272, 0xc4b1d898,
+    0x7b9513af, 0xa2bc0f85, 0x228d67f3, 0x75a8a7a3, 0xf3415d01, 0xdd56e9bc, 0x1a8aed17, 0x571239a4,
+    0x7556fece, 0x294658b3, 0xec343c8a, 0x26266af8, 0x784ff573, 0x178b80b1, 0xd5c81562, 0x0afa5e11,
+    0x144d22c6, 0xb3eb109c, 0x16faae75, 0x2e2b2b94, 0x8a7fd862, 0x82283a03, 0x7d2077db, 0x0e433314,
+    0xc5e2aa3b, 0x1fd34f3d, 0xd272c8bc, 0xd6ae5d91, 0x078a9abb, 0x51063f45, 0xafdf3898, 0xa828f0c5,
+    0x1fb09c85, 0xa1bf96b8, 0x18f162f6, 0x8bdedbdd, 0x0ad10bc3, 0x486c6218, 0x61e03fed, 0xf90c2cf6,
+    0x66ffd71f, 0x636aaf3c, 0x5efcf3ae, 0xca77700e, 0xeaba8099, 0x64cdb2e5, 0x47230072, 0xa08accc3,
+    0x51f639c8, 0xf296899e, 0x823d3367, 0x12233272, 0x6efb5fdf, 0x2c789a38, 0xd198e863, 0xc550f2a8,
+    0x8dd158c4, 0x3b36cd85, 0xe09ef1c7, 0x09ed18b9, 0x8509dbed, 0x29e4fa22, 0xe5e1646e, 0xd025ff4a,
+    0xb65dfdfe, 0x9051065e, 0x6cc6acb3, 0x2220dafa, 0xb3954369, 0xea33e8ce, 0x6ffe7819, 0x6e155ecf,
+    0xbab47f7b, 0x0ece530a, 0x5803029e, 0x210e546c, 0x3b4206b0, 0x24d42ca5, 0x6491a3c2, 0x2dcf74fa,
+    0xa89bdfca, 0x74b68454, 0xc23cade4, 0xeb917add, 0xa34b3323, 0xdf27cc19, 0x40c966b5, 0xa5e8e2a4,
+    0xc1b810ad, 0x16a239b4, 0x6461afdc, 0xd6eedc2b, 0x1305540c, 0x8b0f7f48, 0x61212307, 0x235df746,
+    0x42d47a4d, 0xafa1eba6, 0x32856bc4, 0xd00ee94d, 0x26e0875d, 0xe6e9417e, 0x86ab1e46, 0xf691d280,
+    0xe7da1906, 0x3fb8a2f7, 0x1aa8c339, 0x711edd07, 0x0f904ed0, 0x6b8ed1ea, 0xc27578f2, 0xd4dc1fbc,
+    0x27fa12ae, 0x3d52116c, 0x29f57c38, 0x347fdab9, 0xeabbcc99, 0x8ae7c1e0, 0xb37e08cb, 0xc1839e8b,
+    0x2612d392, 0x75249ae0, 0xe7b22409, 0x78774536, 0xbcd43991, 0x303cb4a5, 0x71633298, 0x6e779f3e,
+    0xa4dc5fd2, 0xb8750562, 0x2607a5b6, 0x9e363181, 0x87e05d42, 0xca5e9d3a, 0x88a7522b, 0xe4ac8fd3,
+    0x2bb299d4, 0x674f2db5, 0x49328e01, 0x1e15a569, 0xf1664df6, 0xb27e3af9, 0x6949e736, 0xeabe50fc,
+    0x00e6ea75, 0x19ed6671, 0x534c116d, 0xa21acb60, 0x575ad4b2, 0xd20b8195, 0x737b30c9, 0x2a8bdb9f,
+    0x69750962, 0xf3f9c781, 0x794997a1, 0x7c1d5b5a, 0xc77d0613, 0x01b6bf3a, 0x154ece76, 0x3cc48a7c,
+    0x16345044, 0xf5629720, 0xfa432f64, 0xae1e36ba, 0x4b874bb4, 0x830a2286, 0x87cdef5f, 0x4b7d095f,
+    0xe59ed139, 0x72b1501c, 0x7c39e4ec, 0x326e8925, 0x729fe4ed, 0x5143eeae, 0x2c9c73aa, 0xb098c653,
+    0x12c9c950, 0xb51c873d, 0x96858c93, 0x97abbf0f, 0x09c938a0, 0xda86d224, 0xd7595b92, 0xd5bf6c01,
+    0x00000000,
+    0xeab63acf, 0xf3a3e24b, 0xfde9dd51, 0x59d06650, 0xc8082e78, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5,
+    0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000024049076047604052253588281311122811\
+                         16032698930082119547604265954848982041717359046106827774346003151904701415424 */
+  { 0x00000000,
+    0xe246dc02, 0x0d86fe1b, 0xe1f5d161, 0x6c5ab241, 0xb330140f, 0xf67dd0d7, 0x8b54ce7b, 0x73fcf186,
+    0x2765776d, 0x1f7e21ac, 0x152a1a45, 0x012c66cf, 0xfe3482bb, 0x2bbe7875, 0xbd1cd9ac, 0xddc62b30,
+    0x05b33765, 0x9a6db306, 0x5721f8c7, 0x29e9b296, 0x37639b67, 0x31c9f83c, 0xa40fc9c1, 0xead99c17,
+    0x0296772c, 0x3616442d, 0x16416e98, 0x24010a75, 0xb8cfd341, 0x662a7d9e, 0xdf497bb2, 0xa4b3e403,
+    0xab08b2fe, 0xb453dd9e, 0xa9e9570c, 0x5a92cc42, 0x955352d2, 0xc5fb084e, 0xe8c666f7, 0x8afb104f,
+    0x844e21a1, 0xb41da2b9, 0x4f45882d, 0x901d4f57, 0x45db1d74, 0xb16faa0e, 0x593f5eef, 0x5612de74,
+    0x80444d2b, 0xe27450fa, 0xc95811ab, 0xe2f5e45d, 0x4d8825a1, 0xb692280b, 0xb893ce5f, 0xc9bb57ec,
+    0xf907adbb, 0xe2b4f6af, 0x9223beae, 0x4d81add8, 0x88432539, 0x4934996f, 0xa57c9c6f, 0xe81ce28a,
+    0xbbc0cd5f, 0x2b6a525e, 0x5c8ed65f, 0x5cfc8df3, 0xebf6069b, 0x486f9f50, 0x5e1460f3, 0xd6876c3a,
+    0x2db31ecd, 0xa9b78e2f, 0xe499bf07, 0xf373ae29, 0x9c5f5d05, 0xabee68c3, 0x918409d8, 0xb9757c31,
+    0xd243b5c6, 0x537c13e5, 0xbd1eb043, 0xc21e7172, 0xd26fb4eb, 0xd9c0f665, 0x3b9f6a65, 0x2f92b7ff,
+    0xf6de829a, 0x1138f354, 0x80848dfd, 0x4a749892, 0xbb641159, 0x4a0edf24, 0xad7e70e6, 0x978ef413,
+    0xff640a34, 0xbf2f21d3, 0x376d73f7, 0x87106e6c, 0x18bf578b, 0xc920957a, 0x0db1938e, 0xae26f238,
+    0xe7d8871e, 0x32e9eeee, 0xb241341d, 0x9c36284d, 0x995da6e1, 0x33fd6443, 0x11fe7dbc, 0xeafd2ead,
+    0x20c2a55c, 0xa8148f68, 0x258f5f10, 0x1115802b, 0x46afec76, 0x53869fef, 0xc57f1715, 0x694d9105,
+    0xaa329dbb, 0x914fb27f, 0xe9d27840, 0x0191fa38, 0xd4497504, 0xbd6f0533, 0xed83b494, 0x2ac838e4,
+    0x1ec17cc6, 0x9311502e, 0x54c1892d, 0x8a3c0a53, 0xb45d37b9, 0x4281d117, 0x0fc5f49a, 0x6e94f3f5,
+    0xb041dbe6, 0x826408cd, 0xa45ed485, 0x22bb42ed, 0x83f06f0b, 0x25122e5c, 0x6d1a8ec1, 0x6977ef4c,
+    0xfbfc9822, 0x9d9a1509, 0xc3c12860, 0xdf37a39e, 0xba9da435, 0x19059649, 0xa7c82c7c, 0x05aea60e,
+    0xd88f5841, 0xb9d8a760, 0x87873ede, 0x25db73e4, 0x1288b8a6, 0xc9e783f3, 0xe3191e44, 0x53cb787a,
+    0x41e55185, 0x79a73f74, 0x7756b76b, 0x93eaa23a, 0x8f362d8c, 0x87a84a30, 0xdfd058cf, 0xe735a420,
+    0x590767b0, 0x3fd9eaf7, 0x6b25fab4, 0x0ac1c98d, 0x698764ab, 0x513306bd, 0x8fb5c084, 0x2fc7948e,
+    0x19457ba6, 0xcbc263d0, 0x60b677d0, 0x97ea3d6b, 0x23d95651, 0x7ccf662d, 0x958fba85, 0xbbca3f58,
+    0x1784469f, 0x450c332f, 0xf44543aa, 0x6226767d, 0xbdc28811, 0x8fd3c6d0, 0x2fd4f03f, 0x3852c48b,
+    0x0a9e4a44, 0x7b81c628, 0x6c55182b, 0xa45c0254, 0xb152761e, 0xbf8de29b, 0x614dab79, 0xadb0aa16,
+    0x5e4c7e9f, 0x2e3de7cc, 0x4152a07d, 0x20cc98f3, 0xf1e76584, 0xa646f791, 0x6150e6c1, 0x2f8fc4d6,
+    0x5bfaa209, 0x76b0544c, 0x0b42319f, 0xa4dc5d89, 0x4d7c0358, 0x90e5270c, 0x82406a72, 0xd3a228bf,
+    0x06211010, 0x45d0cdaf, 0x630d6033, 0x8e89a914, 0xbb5dde00, 0x4f68981a, 0x95c7a5c6, 0xb3c87061,
+    0x7226275f, 0xdd3d9784, 0x86fa65ae, 0xa1db0bd7, 0x98906d68, 0x9feb1b0d, 0xe00ba017, 0x49d66491,
+    0x143c7655, 0xe96f059c, 0x6c76888d, 0x914f37cb, 0x481f9496, 0x50bf7f9a, 0xba6a5131, 0x3d293f64,
+    0xdc8401a1, 0x6efb47ea, 0x717bdd99, 0xba7a7d13, 0xbd83cb23, 0xc7cd16c3, 0x3086738d, 0xf199b96b,
+    0x6e4ffd82, 0x995957e5, 0xb0b93cc5, 0x826053f9, 0xc58ea8b7, 0x956fdfda, 0xd2ddb211, 0x0631b752,
+    0xe88d0a5b, 0xf60557ca, 0x5ca351a3, 0xcd50483a, 0xc6c4a5df, 0x4765d30e, 0x3eb1e566, 0x5a21826f,
+    0x0b255315, 0xdfec5c36, 0x1af56778, 0xf8fba023, 0x28bb4b50, 0x22762bd7, 0x225e8c78, 0xf7aee785,
+    0x2627ec60, 0x57e79050, 0x0d7def94, 0x074dac2d, 0x6e896db8, 0x4219215d, 0x14bdf473, 0xe4d1b53f,
+    0xa2626bd0, 0x745f7e9d, 0x920ce9d4, 0x5d5009a6, 0x88743cc7, 0x3bb60694, 0x6738ad52, 0xac24d51e,
+    0x0a780927, 0x7361e2c8, 0x077769d0, 0xdbcb55f7, 0x5c4b62cb, 0x536c5192, 0x1524f047, 0x4584b965,
+    0xc64ba5fa, 0xef46d4bf, 0x4f896272, 0x839eb627, 0x98766e7f, 0x31c88d63, 0x33d2f906, 0xf7b42b2a,
+    0x97cab2cc, 0x20f2249a, 0x5b522665, 0x89229a72, 0xd0835ed9, 0xb4b5cedf, 0xc3c31263, 0x041bae7e,
+    0x7704b310, 0x98a3d77d, 0x9d19c46e, 0xc29a7969, 0x83e25316, 0x4a769288, 0x9991af80, 0xf3d8535b,
+    0xb45f26ef, 0x12491dc8, 0xa6c63370, 0xfaa8a642, 0x0b61f3ff, 0x99813615, 0x0993187e, 0xf4ea5690,
+    0x738ba5be, 0x4b037d92, 0x74952112, 0x95fb8cba, 0x563ce255, 0xf259fa17, 0xaeebfb2c, 0x58cff96a,
+    0xa753c9a6, 0x6242394f, 0x2ea5b9d2, 0xdae49592, 0x378d2b2c, 0x4a090d31, 0xe58473a5, 0x06484988,
+    0xf1fe3ab0, 0x4d08b988, 0xfda117de, 0x81e49e1d, 0x2a420025, 0x999f3649, 0x3426cc16, 0x024d1232,
+    0x64801b29, 0xe4c7cefd, 0xb57ce5bd, 0x34401595, 0x7ad2182a, 0xd7e03d77, 0x798dc470, 0x3727fe8a,
+    0xe0fa4198, 0xa2b20b4e, 0x727f069d, 0x4814ba07, 0x36ab2dab, 0xfdb6f523, 0x9c356727, 0x23828868,
+    0xbef221c1, 0x9560e6a8, 0x7f669acc, 0x546418cf, 0x86c1b0fe, 0x1175cbd1, 0x65920f34, 0xb2d3736e,
+    0xf98531c1, 0x657d123b, 0x7d83e64b, 0x4da388dc, 0x044ce1b4, 0xbcaa0475, 0xb0e3e9da, 0x6c02ff60,
+    0x9a43da95, 0xc9a0f09e, 0x319a1758, 0x356a5d68, 0x1d0f655f, 0xa389eea7, 0x884c5d54, 0xd6558ab4,
+    0x15cf603d, 0x46d75635, 0x5a51c8e7, 0xca22eeaf, 0x448c5510, 0x88cfd25a, 0x085bf1e4, 0x20fff639,
+    0x34cc6c43, 0x80ec3971, 0xa5caad2f, 0x8acd46e2, 0x76475a61, 0x74c8c5eb, 0x7fcc05e3, 0x9fd7e56e,
+    0x46bf0615, 0x1f255aa4, 0x42b83b91, 0x72e5981d, 0x93f9b27c, 0xaddc25a2, 0xc2e7071f, 0xf9f03cc7,
+    0xefc0854c, 0xed4517c4, 0xdb4c02bd, 0xcbb1b8f8, 0x69f992d8, 0x85d9dd6d, 0xc28e895a, 0x226765dd,
+    0xb8949041, 0x6f95f88c, 0x6d5d0f2c, 0x21f334d4, 0x0cec3a5f, 0x51583d7d, 0x2f2cf06a, 0xc12f3b2e,
+    0xc4d9ab08, 0x9fac724b, 0xd6493a5d, 0x97fce060, 0x2687b808, 0x0a71bc4c, 0x29dc5944, 0xa4ea4b6d,
+    0x2391f2b1, 0xce3a698a, 0xe71fc384, 0x4bb439fa, 0x61397abc, 0x2974ec25, 0x8a189f2b, 0x28b06fc3,
+    0xda531847, 0x88eec8b7, 0x512d7fa8, 0x85852597, 0x45f44f3f, 0x69fd5412, 0xecc517dd, 0x9ff0fe04,
+    0x119f9329, 0x1c72a40f, 0x73304f2d, 0x18f600d2, 0xb2f42a20, 0x9aee8667, 0xf1824c5d, 0x0c715db8,
+    0x1368b81a, 0xe4c4df26, 0x9c5d49cc, 0xc7c2d930, 0x4767d0bb, 0xf168b30b, 0x95cb21bc, 0x5ad99ef7,
+    0xab5fd33c, 0xadde0f2d, 0xbbe0a292, 0x9191faf4, 0xf54ad41d, 0x6cb6eb61, 0x6abde430, 0xc5e4882a,
+    0xd58e5aec, 0xcdd2493e, 0x63dd1dff, 0xb75a1745, 0x61b3a36b, 0x9122f31b, 0x4cb3de92, 0x590fb866,
+    0xfb66c1cc, 0x609f08c2, 0xbfd8df5a, 0x5ad6c0fc, 0x8ee2e01f, 0x3b24a55e, 0xc1e97213, 0x9d7fb749,
+    0xd1e6beef, 0x75c6f976, 0x7b3c8d5b, 0xbfa3588d, 0x27fbd762, 0x8482f78a, 0x90a61fd6, 0xd5eba928,
+    0x90ade827, 0xcadd70b6, 0x7fcf2f70, 0xf8b680e4, 0xe51efc57, 0x940efbe6, 0x5a94adb6, 0x182a42db,
+    0xc2f2c73b, 0x8426fd0b, 0x54dc1ce5, 0x1d9f815f, 0xcf1a9e34, 0x16dce0d2, 0x7a1941f9, 0xbac21776,
+    0x494b3f83, 0x77fc791b, 0xb8bf962e, 0x79b4276a, 0x669d6fde, 0xccbe9d14, 0xca794d31, 0x5e10f4eb,
+    0x87b3713e, 0xaa872478, 0x0d51b6af, 0x6a2f49a8, 0x9764fe39, 0x7b8fbd0a, 0x9ed7736d, 0x987f0cb0,
+    0xba6a6d41, 0xdeabd39d, 0x927fefcc, 0x82e465cb, 0x454d9c24, 0x4f14cf0c, 0x0bcfaff0, 0x4633952a,
+    0x104771ba, 0xc654d2cb, 0x94960da9, 0x21c28520, 0xaa3d7e36, 0x67b92e7b, 0x4f6faeea, 0xd7f92c93,
+    0xc70f93a2, 0x5a6d7c17, 0x23e18b7b, 0x69732796, 0x3915bb9b, 0x0c23dfe9, 0x731a1d0b, 0x08a6d907,
+    0x849e798c, 0xcd3d86a6, 0xc87520ac, 0xf43e0ed0, 0xa44c8c81, 0xadd778a1, 0xee5d7ac8, 0x3571f9b7,
+    0x0872c58a, 0x23af0b2f, 0x43f18db6, 0xf94ec379, 0x890f11a5, 0xf68af0e2, 0xd606a20c, 0xe0c726b9,
+    0x87f8950d, 0xc5aa1278, 0x3d1e5868, 0x91d09b0e, 0x59a4c718, 0x9bdcf0ec, 0xdf13382a, 0xeac5b54b,
+    0x0d94d9c4, 0x013d409d, 0x157e5153, 0x9db03a4f, 0xf072d6f2, 0x6db92754, 0x62247fe1, 0x3872c687,
+    0xf8ccee99, 0xf397f966, 0x244da456, 0xb9a448ec, 0x725ad01e, 0x400dbec9, 0xc6d60925, 0x9062bd60,
+    0x576006e1, 0x3acfa42c, 0xcc60c7f1, 0x7ce530f1, 0xf2230fc7, 0xe745f4df, 0x8d5138f6, 0x0dbcbfde,
+    0x7299acb5, 0xb448116f, 0x8a7949bd, 0xcf1de84b, 0x2f3b02b6, 0x1f262bde, 0x33600f1a, 0x510b8cac,
+    0xc8e8cc1e, 0x25519507, 0x69b65577, 0x77be6d92, 0x2f78daf1, 0x9b158fd0, 0xdb5d3432, 0xd3b73e5a,
+    0xef47cd4b, 0xe5ddeeb8, 0xc9d55589, 0xc3c59095, 0x2bd44b3e, 0x715f3e62, 0x2dd64b31, 0x7aa65c79,
+    0xb8bcb952, 0x6271ad9b, 0xdccdfbeb, 0xd507bf7c, 0x96708052, 0x9826fa39, 0xee216415, 0x7b1ad0e1,
+    0x69454adb, 0xf99d9c94, 0xc5273bcb, 0xc384b3a0, 0x091d6235, 0xc170b1d7, 0xf406d59d, 0xad74d345,
+    0x165a185c, 0x41daed16, 0x0f685073, 0xe15069b1, 0xaf7558de, 0xf204507c, 0x57fcc859, 0x26b7856e,
+    0x837c56c4, 0x22a4767c, 0x0aad6694, 0xabd33b53, 0x36ed6e29, 0xe195260e, 0xf1fb564c, 0x2d6937f8,
+    0xd0e0bf61, 0x0203b1b1, 0xcd9fa7ed, 0x253d2cf1, 0x54753e65, 0x84658735, 0x3c1e85a1, 0xdcc41d65,
+    0x23b54738, 0xdb869161, 0x902de752, 0x6d8d5760, 0x545adeba, 0x7e73dd9a, 0x3dffdd0b, 0x8f07bdd8,
+    0xcd6d6902, 0x4181b41d, 0x7667a3c2, 0xa56cee27, 0x04437dab, 0x4492e32b, 0x857116e6, 0x9aae0ff6,
+    0x396092ae, 0x3c43f299, 0x89054f62, 0x7cd66db9, 0xcd01ca15, 0x20d276e5, 0x6712f640, 0x39314697,
+    0xf443074f, 0xd2d95897, 0x8455f153, 0xa7c8bd8e, 0xfd6762a3, 0xfd6c694a, 0x6e38e2db, 0x9998a777,
+    0xa31122f6, 0x2f6a494d, 0xbbf3c913, 0x64adbd92, 0x524859a9, 0xa88444a4, 0x9a7ee764, 0x62dcea80,
+    0xb346414d, 0xaaa48de9, 0x2697424c, 0xac2db819, 0x851f673d, 0xbbd71e0d, 0xe356dd73, 0x526468ab,
+    0x4815b53c, 0x8e2f9bb2, 0x851ef5cc, 0x68877b94, 0x15c8d43e, 0xd362d6f5, 0xa739dca9, 0x747f1b2d,
+    0x047f8b75, 0xa56d7afe, 0x0f7824fe, 0x817262bb, 0x6f59d17c, 0x675bfe2f, 0xcc5cd34b, 0xbc2b3c26,
+    0xc669baf6, 0x2bba9421, 0x9ab9f7e4, 0x2fa41264, 0xccff6a17, 0x06fe5686, 0x4979da57, 0x46396823,
+    0x328e8c4d, 0xfeea325f, 0xb6fec6b1, 0xbec0f120, 0xca0f482e, 0xb82a301b, 0x7b370d99, 0x4c243e71,
+    0x82daa98e, 0x38898cdc, 0x73d78bce, 0xd1b751df, 0x69441e26, 0xdcf89497, 0x715baea1, 0x2bfdc12e,
+    0x0ca0b939, 0x15603007, 0xb978c9e8, 0xb8a0ca11, 0x5a07ce75, 0xdd6095f4, 0xe148c369, 0x33f407d0,
+    0x6a4b13c8, 0x6176ff30, 0xe2e25c5d, 0x7821e229, 0x2a978259, 0x5b489248, 0xa10c1ebb, 0x22f4e60e,
+    0x7bcbb472, 0x65839ff0, 0x3883e8ee, 0xa6ca7df8, 0x440f6a1f, 0x32f3ea75, 0x60916dca, 0x17987052,
+    0x0a282f6e, 0xfd476b12, 0xf42494eb, 0x85797c74, 0x287de08e, 0x64ed04c0, 0x0fd41b27, 0x50250c92,
+    0x24083f2a, 0x4d2d5c7e, 0x986f93e4, 0x9905cc89, 0x37d01358, 0x0a85db4b, 0x55f5242b, 0x40df54e6,
+    0x5655b0b7, 0x70f359c2, 0xda1cfc28, 0x778e1d87, 0x0a734a7e, 0x0915fea5, 0x50d6729b, 0x049ec183,
+    0xac98b952, 0x58f92a99, 0x62caa3ea, 0x4829ad1c, 0xa6a4f0cc, 0xe4bff7ac, 0x0eaec4d3, 0xeac5bfe8,
+    0x5349e6b0, 0x38c43e8e, 0x8b45bc39, 0x7786f840, 0xc1a6ddd3, 0xa84ae2b5, 0x7ea6947b, 0xcd519dc0,
+    0xbbab7f5a, 0xb24d63c2, 0x19c29e9e, 0x7901142a, 0xd610f033, 0xdf208d9b, 0x5c29551e, 0x86c74383,
+    0x51f7787a, 0xd4aa46e6, 0xebd5fc6e, 0xd22fd740, 0x53190114, 0x736db0d2, 0x2bd49a0d, 0xfa404843,
+    0x79564b68, 0x44a60c72, 0xd6418d59, 0x02df702b, 0x26e312ef, 0xf156ce85, 0x85338803, 0xc71ce58f,
+    0xd723542d, 0x480aed1a, 0xb6c23f97, 0x63c4c065, 0xb0e77425, 0x5e3e5ebc, 0x658389b2, 0x22ee40fa,
+    0xee01c98c, 0x924fd815, 0xfbf3c08c, 0xf71670be, 0x1f15dee9, 0x4ad35825, 0xfd428a8c, 0x00b7793e,
+    0xb1c60921, 0x533b995e, 0x9b4b3df2, 0x4c1d3518, 0x1fa63b0d, 0x3c3f0609, 0xbe83ba5b, 0x4590c8fc,
+    0x3bd256c4, 0xad167db9, 0x6714148b, 0x42bcf737, 0x7ab4ec72, 0x6a6e7b3f, 0x19206a4b, 0x596f5725,
+    0x73307ce1, 0x5fae2648, 0x27536131, 0x3d47987d, 0x49d1f2ea, 0xeef06cd7, 0xb8aa9556, 0x2e4bf05b,
+    0x8aff8d4f, 0x65c60b40, 0x40022311, 0xc7543586, 0x3636eac3, 0xdcccf7c3, 0x3d9e6896, 0x8ae6de4a,
+    0xefda0e8e, 0x9926a045, 0x1997412e, 0x0f818331, 0x4065e676, 0xe60b3919, 0x342a75b5, 0xe0963bfd,
+    0x359048b7, 0xbad8279a, 0x5acc417d, 0xb94cfc99, 0x9438ac23, 0x2f1b0bcd, 0x9b86649c, 0x1e4017a8,
+    0xfae9e5a1, 0x9c27adf8, 0x7796ccc3, 0x5d3240d5, 0x563bdd7e, 0xe797d415, 0x946d0bab, 0x9eeebe6a,
+    0x9ff10865, 0x7ee4aafa, 0x74cd916a, 0x8f27b046, 0x9bb18e6f, 0xd9b11abe, 0x3c05f8f7, 0xb02db4ea,
+    0x19bc588e, 0xfa034644, 0xa0baa5d6, 0xc70ce0c8, 0x39a27d08, 0xf2d1d279, 0xef7fb29b, 0x4d9d332e,
+    0xf99898e9, 0xcd7ca2cf, 0xaa9c8b39, 0xac494fd7, 0xfac93373, 0x6e193d9b, 0xde35d884, 0x188973e1,
+    0x1343d0e7, 0x926788b5, 0xbe2a30b7, 0x173029d8, 0x8ec9832a, 0x75b93ee0, 0xc2dbf579, 0xd50b248d,
+    0xf949161f, 0x9187ee74, 0xd4402168, 0x974667a3, 0x3a96589d, 0x7ffeecf2, 0x3b1366cc, 0x29028672,
+    0x336871fc, 0x8375f00f, 0xd2e489a2, 0xa0df41a7, 0xc98d107a, 0x92d2f9aa, 0xa7c8203e, 0x06154f91,
+    0x2123dab8, 0xc0823671, 0x52a66af9, 0x8c71802c, 0xa0d2ccf4, 0xaa335b9f, 0xa2808f6b, 0xee298fdf,
+    0xd571f936, 0x270a84a7, 0xcc02a24e, 0xd44bd411, 0x67195754, 0x4035fe9e, 0x16639c9f, 0xa59dd5f6,
+    0x3f0373c5, 0x5cee02bf, 0x19857bd8, 0x389aa53a, 0xfac4628a, 0xbe6bd732, 0xa96f17fb, 0xea56f020,
+    0x9a6cffc4, 0x8c24af2e, 0x98630863, 0xf3a2efd5, 0x0d90a3d4, 0x4f8b6adb, 0x8c96631a, 0xc3ea58e6,
+    0x82b0e722, 0xbbea9eee, 0x416760e3, 0xb5dd3470, 0x326cc7b6, 0xe1e0bd20, 0x3e5f3c42, 0xa5685fc4,
+    0x00000000,
+    0xf55b1d67, 0xf9d1f125, 0x7ef4eea8, 0x2ce83328, 0x6404173c, 0x6a748db5, 0xaff1bd9d, 0xda66cb62,
+    0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000012024538023802026126794140655561405\
+                         58016349465041059773802132977424491020858679523053413887173001575952350707712 */
+  { 0x00000000,
+    0x2e01a85b, 0xd198d0de, 0xbb099ccf, 0x3680f9b4, 0x87bd7021, 0x16e22cd0, 0x0836766c, 0x0110c868,
+    0xc43fc012, 0xa648849d, 0xfc1cc660, 0xd4f0586c, 0x68fed518, 0x3e60e077, 0xeaa389ea, 0x2f6214ce,
+    0x7e37572a, 0x95915e9f, 0x309d4b4c, 0x80eb3006, 0xa1d53e8f, 0xc4916344, 0xd7d8ee59, 0x9191a5bc,
+    0x054d2315, 0xd4d82e03, 0x0727a50e, 0xdf301265, 0x18c7b5d2, 0xd8c28167, 0xb24589b3, 0x2b145fbf,
+    0x0e7af199, 0x1122287f, 0x5263f474, 0x4cf60790, 0xcb59d95d, 0xbf6017cb, 0xe8099cb2, 0xbb303623,
+    0x13d4de13, 0x71918d31, 0xbe7a314a, 0xbe73881a, 0xc981125a, 0x97c8ea0a, 0xef7101cf, 0xfeb64306,
+    0xcee73135, 0xaaf3f7cd, 0x302c0eb7, 0xc4892ef8, 0xb4fe0f27, 0x43447045, 0x84e24f96, 0xbfe205e7,
+    0x00a49be3, 0x2d2d8b81, 0x199b9a16, 0x94c0e50a, 0x4586cf6d, 0xf8be345f, 0x0fac09ad, 0x1c672695,
+    0x13e5979d, 0x430fb982, 0x34ee8e37, 0x3a95c71c, 0x9a788cdd, 0xcb5ee548, 0x05e5aa4b, 0xb8683e9b,
+    0x779697f4, 0xd43b33d6, 0x88b546bb, 0xddae6551, 0xa3842c3d, 0xb17e7dae, 0xd3fa723c, 0x2e655f33,
+    0x51777bb8, 0xf81ab1f9, 0x9074e8f3, 0xd080bcb0, 0x8c432114, 0xd9c52d2f, 0x2cd865f6, 0xae9c0144,
+    0x73bbdd7d, 0x03c40918, 0x7ab36a4e, 0x9a2194a2, 0x4ea7cb05, 0x791c4241, 0x3d02031a, 0xb112b4d1,
+    0x29d2ff9a, 0x550601bb, 0x80127e5b, 0x2bdc2a10, 0x71a58864, 0x4f043cc7, 0xd7288828, 0xc819e8f1,
+    0xa1927b90, 0xf27cbdbc, 0x64c9867e, 0x337e3ac0, 0x85fc0f07, 0x88135f7d, 0xaf2c6302, 0x0816f094,
+    0xfb3c50ab, 0xed59e0f9, 0xd0ffba5e, 0x9b43ccda, 0x61d0ebf0, 0x6916ac1a, 0x13e233d8, 0x41dd393f,
+    0xed01c100, 0xe339a784, 0x61c0ab83, 0x723fab93, 0x3fdec567, 0x67905c0e, 0xfc3dc710, 0x89fa4662,
+    0xdc2386dd, 0x3aa4d682, 0xfc3cd3e2, 0xcaa3a3ee, 0x182db07c, 0xf85d3cd9, 0xa48514df, 0xfbf02cc3,
+    0xbf4b4c8c, 0x7f8f170c, 0x0f1312f3, 0xddb6cd1a, 0x423369f2, 0xc0b0fd36, 0x85eb9023, 0x5dc5a61b,
+    0x0301e563, 0x253081ba, 0x42e76855, 0x5368aed5, 0x8ceb6a62, 0xe98c4b3f, 0x5afc1cec, 0xf295d5de,
+    0x3312852c, 0xdb6a8041, 0xc5a9fb9a, 0x9f1ff3d7, 0x540eb5dc, 0xd37d235f, 0x72466270, 0x034e0d98,
+    0xd01fa699, 0xa4995346, 0xfc33e101, 0xddcff811, 0xa3138e0d, 0x0e2d86ca, 0x1f9741c8, 0x3a4fcd44,
+    0x58fd1a8a, 0xd74f920e, 0xec17ac1f, 0xbb6803d9, 0x3f7dc6c5, 0x88e18fbf, 0x18760220, 0xacfd2d2a,
+    0x60d1d26e, 0x16c0a97b, 0x7275e889, 0xa718f0dc, 0x339ae8a4, 0x6384224e, 0xf63a004d, 0x0475590b,
+    0xf091e08b, 0x6d609194, 0x20cc8c97, 0xe46f47a9, 0x79ec3280, 0xa495468c, 0x8304ac00, 0x12d29364,
+    0xf99f0db4, 0x455348b8, 0x0917aa69, 0xebacd960, 0x19af229b, 0xb7bad274, 0x228a288f, 0xa115ab50,
+    0xe1f4a367, 0xb79f8be7, 0x3edd9042, 0x4e8ee2f0, 0x5a959569, 0x8c82d884, 0x29dce4c3, 0x7a1e5e0d,
+    0x32bb45d2, 0x4d309bdb, 0x3653437e, 0x50a40beb, 0xd8189001, 0x1ba54cfc, 0x10c6f400, 0xd0fee14a,
+    0x003f4d37, 0xa534162a, 0x9ca9b8a1, 0xca6c62b7, 0xc71c7c96, 0x7e0aa38a, 0xf7b29ab0, 0xd63934b3,
+    0xebf08d58, 0xe9bd8c99, 0x2726211a, 0xbe750c03, 0x64f5e840, 0x72a8de15, 0x3d7c0591, 0xe8055d65,
+    0x0fc6bd45, 0x4eaebad8, 0x5310e2f1, 0x8ea14338, 0x8d5d7b2b, 0xdb01763e, 0x848c74bc, 0xe0677b0e,
+    0x73bed214, 0xf3e5d2f6, 0x810bcf84, 0x47a5a8be, 0xfbebb352, 0xac411454, 0x8cfa12f7, 0x6ad22cf0,
+    0x5c4df6c3, 0xe3927d29, 0xeec07fd3, 0x4229f64f, 0x0115f5bf, 0x855efafd, 0xc94a237d, 0xe5a19f53,
+    0xf4f2e408, 0x20770f96, 0x8b1da8c5, 0xc4a4c027, 0x98991b7c, 0x205cb4b6, 0x61d35d2c, 0x70925a27,
+    0x2b4513e7, 0x86a3be55, 0xf6669ec1, 0xb8e93302, 0x2c0ecbb6, 0xc78c5e07, 0xa3ba5469, 0x4c27f759,
+    0x60dc89ea, 0x1b21d4f7, 0xeda8f9a6, 0x865a259a, 0x1a4774e8, 0xe4fbf89f, 0x809bb7ed, 0x801240da,
+    0xb2e2094f, 0x95e7f15f, 0x2405d886, 0x7e91c238, 0x9a91d1ee, 0x82c15f0e, 0x2ba9c80f, 0x25def840,
+    0xb3955bb4, 0x91499aba, 0x2c8acfc0, 0x81c48636, 0x30f43f3c, 0x6c8591b5, 0x03eeafdd, 0x6a3c1541,
+    0x5e7a226d, 0xe984d509, 0xcf648e0b, 0x26c2fcb0, 0x5f492035, 0xcd36f6c2, 0x9a530925, 0x9c5c5323,
+    0x153e8fd1, 0x79fff601, 0xadf8a50d, 0x563a0bec, 0x7a883c32, 0x1b219e0f, 0x1c13a21d, 0x5b3c136c,
+    0xfc7c2a2c, 0xe1683d5d, 0x4874c212, 0xeca4c15a, 0x4ee35fb6, 0x5d056aab, 0x4bd4a2ce, 0x7d0c2b35,
+    0x2577f843, 0x22f608d0, 0xe96b32d1, 0x2ce0f70c, 0x46ff3ba6, 0x4a7b96ae, 0x24b1162b, 0xc130d020,
+    0xc8457b00, 0x43b81ee4, 0x409d421b, 0xe5bf4609, 0x0fe2e637, 0x6ebc6b19, 0x8dd69f5d, 0x80981982,
+    0x63312a58, 0xc6f645a8, 0xe563527b, 0xe9610677, 0x2f920daa, 0x48a224a5, 0x0cfc1bfd, 0x827f318a,
+    0x367b5f76, 0x59da0c36, 0xce2d8790, 0x225e112a, 0xb250e58c, 0x21c9a781, 0x4de7a05e, 0x2a409fc6,
+    0x82e6bcaa, 0xc352226f, 0x140cf373, 0x2fb6084c, 0x7c19a81a, 0x3764f16d, 0x91d6d49c, 0xa0664c6e,
+    0x152ab977, 0x22cf5518, 0x39292234, 0x2c0a50c9, 0x0bec4545, 0x6437687d, 0x3e9a9771, 0xefd419f0,
+    0xa5b6c43c, 0x6f93e45f, 0xb72c7bfe, 0x20ad5ee4, 0x1e2cc798, 0x262a80d6, 0xfacdaa47, 0x16171030,
+    0xe1a6de64, 0xe311b790, 0x98352747, 0xc8cc2016, 0xc84f6cbf, 0x0d2dd92b, 0x927ffba5, 0x61e2ad09,
+    0x886dbb29, 0xaa37a588, 0x044f6055, 0x5c7642d3, 0x1e29e452, 0x85ede458, 0x3851c485, 0x03a91884,
+    0xc11e5f43, 0xd3e3824a, 0x98bff1f9, 0xa86b200e, 0x248563b4, 0x5f927317, 0xfcf17ce3, 0x62786750,
+    0xb9afb252, 0x49bc15d1, 0xf1cbd777, 0xb1c98fd8, 0xe6120a64, 0x1a29b984, 0x6d863b77, 0x09c3e5d1,
+    0xe2214fa0, 0xc72fd220, 0x90410c61, 0xfc596b81, 0x3f6490e6, 0x9fb468ab, 0xe0836a54, 0x5658503f,
+    0xf77942a5, 0x45ac8975, 0xb93ab80d, 0x0c28cb4a, 0x4de50aba, 0x875c98ba, 0x720e7ceb, 0x05d8c9be,
+    0xc01d134e, 0x4bb9ed5f, 0xebaab2e4, 0xaa1eeace, 0x98ae0ce1, 0xe7f9a5b4, 0x85e484f1, 0x95c366ee,
+    0x8b8ef895, 0xf6de7558, 0x49a9dae9, 0xeabe823f, 0x8a25088d, 0xb56cdeb0, 0xd6aa2499, 0x47bd21f6,
+    0x95c9441b, 0xf0f00f87, 0xb0187cb7, 0x88760bd1, 0x9d56ee0f, 0x2436c225, 0x5325f804, 0x4e0bb188,
+    0x2f52a4f3, 0x0cac5073, 0xb6101af5, 0x36d4393c, 0x1778e00a, 0xf1eef374, 0xe1339e3e, 0xa5e8c25b,
+    0x3a328cd3, 0x30589bd8, 0x1c0f657b, 0xf5de2a71, 0x1fa62e75, 0x00e9ee10, 0x374a36ee, 0x183455f5,
+    0x01911dd7, 0x4133dcfa, 0x362641e6, 0xb0f5c503, 0x58ef0e32, 0x3dc72b72, 0xde4b9be7, 0x763a751b,
+    0x6444d4cc, 0x03179398, 0x2c5ef770, 0x1003f46f, 0x63518cf4, 0xed9ad0a5, 0x321ad913, 0xf15b890a,
+    0x98808a19, 0xcd1bd1d3, 0x885f1d64, 0x82c222b9, 0x14b063f5, 0x7d09aeee, 0x38c58b70, 0xeef8b16e,
+    0x0a29ab00, 0xcc81a57a, 0xd1f5d328, 0xb49b6c8c, 0x1c798d32, 0xf5eb8868, 0x3aee9fdb, 0xe3c64db2,
+    0xfb4a4bec, 0x1b561d2c, 0x7620a14d, 0x68709728, 0x2f0998f3, 0xc17757d5, 0xd9b4dbdd, 0xc0c95f12,
+    0xa9ab541b, 0x8e824323, 0xd7eb627b, 0x51e2c2da, 0x9b8ba76d, 0x481e9b05, 0xd5252384, 0x9d97c641,
+    0x449eb299, 0x36999406, 0x064b2ba6, 0x4b2ff845, 0xc989748b, 0x9121f475, 0x694c6d23, 0x4b6e12bd,
+    0xd69677eb, 0x50621bce, 0x905669c4, 0x29fd1bf7, 0x2dc90e25, 0x4d0e29da, 0x9e949cab, 0x6241896c,
+    0xf9cec92f, 0x19441de9, 0x4e9034fe, 0xdddc2970, 0xd6253012, 0xe6a04bd1, 0xb30171b8, 0xd52cf06f,
+    0x21e055bb, 0xd24be9ce, 0xc6bd0d36, 0x4fd1f0c9, 0x88246780, 0x04344e6a, 0x7974a5f6, 0x455f2ad9,
+    0x0f2b9fdd, 0x21b74181, 0x4599cfb5, 0x3d106bfb, 0xa8fc3539, 0xe5cfaf12, 0xf9cd29b5, 0x70d91494,
+    0xb2d4866d, 0x89729461, 0xcd7a161a, 0x1cdcf533, 0x09518db6, 0x76c8b088, 0x605d3c95, 0xdae43066,
+    0xb352538d, 0xb5697ac1, 0xaa7860fa, 0x2a7f0d23, 0xd0b6b00b, 0x4856bc91, 0x52bb1031, 0x81d55e01,
+    0xad9fb949, 0xe53f8414, 0xb1b422b8, 0x4169f805, 0x3137714c, 0x14a48a16, 0xe8df3fb2, 0xf3147d2d,
+    0x33a72e2a, 0xc513241c, 0xbdc4a199, 0x43c7c794, 0xc6e34f99, 0x0c959d68, 0x65a6b5b1, 0x9da73c97,
+    0xa87799f2, 0x11da4f1e, 0xe4bc7908, 0x1966728d, 0xafc437c2, 0x37505a5d, 0x0cd8ba5f, 0xb9df7375,
+    0xfcd61dbd, 0x9538bcfa, 0x33c8096e, 0x612a72bf, 0x9aa45465, 0x46b8c55d, 0xcd86a414, 0xfd96f7a2,
+    0x3c5cc882, 0xbbbe4e06, 0xedf76909, 0xc2d56ffb, 0xd4e2689e, 0xacc15e79, 0x2598d60c, 0x87b9f209,
+    0x6642d735, 0x25ce5e43, 0xf3f4ec40, 0xbad341cb, 0x9d77e01a, 0x33407a7b, 0x6346ccb3, 0x346c3e68,
+    0x6f594479, 0x03a5fc77, 0x0d352935, 0x26e90181, 0x74814088, 0x07488656, 0x480d9d16, 0x3a14aeb8,
+    0x9fba1d0f, 0xe79b2c3f, 0x23219342, 0xb9bf272d, 0x661f1109, 0x81a214fe, 0x66520462, 0x376e8538,
+    0x4f2167f4, 0x0154835c, 0xbdbac488, 0x2e6de809, 0xef9cc01e, 0xfd25b983, 0xcc6ade81, 0xf18a80e9,
+    0x6ca3d348, 0xb13bbdbe, 0xe5c078c0, 0x2b5dde2e, 0xbc58eec9, 0x38b11b7f, 0xfd19ac4a, 0x83e6f534,
+    0xaa3e27a5, 0x4a820d4d, 0x6e5b3c4c, 0xe2cb1f82, 0x77008469, 0x767edf79, 0x89fae907, 0x32012620,
+    0xca55b24e, 0xfbfbd3d1, 0x28852797, 0xd8ef3131, 0xbbe2841e, 0x33bee71a, 0xd32eedec, 0x73a96f7e,
+    0x44464711, 0x2727f381, 0xf8851f3d, 0x58af48b6, 0xcb62edec, 0x4088c8f5, 0xc21bd1b4, 0xadf8cdf8,
+    0xd076b0af, 0x8449ef1c, 0xb63fca6b, 0x5fb3fc56, 0x817c06c6, 0x314f9cf0, 0x90c4431e, 0x6bfefc99,
+    0xff5fa248, 0xf6fc9fb5, 0x4bac744a, 0x3ea65912, 0x6b76eb5d, 0x0e8284f1, 0x95d86efc, 0x480e83c1,
+    0x918add04, 0x3fac40eb, 0x8fcdfccb, 0x3621b1a6, 0x5bf80ffc, 0xc1bd6c46, 0x7d02d3a5, 0xf7941941,
+    0x0cdce3bb, 0x7284d686, 0xea0ff271, 0x195de7a0, 0xe7807e1f, 0x4b46f374, 0xeacf01e3, 0xbe5b52f4,
+    0x8c56f332, 0x2c6a7e67, 0x25fc988c, 0x1fa96d55, 0x6321584d, 0xe32799b0, 0xf2ff547a, 0x85f56fe6,
+    0xf3949a45, 0x73e44a43, 0x6f1b3661, 0xca3ef2c4, 0x531d0633, 0xb50e07e0, 0x72a53bc2, 0x5684a440,
+    0x6194073e, 0x70d3ff1d, 0x0c97807f, 0x190716da, 0x9b648bf1, 0x448300a7, 0xa32066b1, 0x7cd422e0,
+    0xb2722011, 0x48e8c17c, 0x514f795d, 0xb616da61, 0x94e428af, 0xf5c697fd, 0xa1e4358c, 0x1d3be47c,
+    0xd374408e, 0xb4a924c7, 0x461db428, 0x1737224f, 0x29545855, 0xaab5ac3b, 0xaeb37e7a, 0xe3405435,
+    0x1a4d0e07, 0xce1f45ea, 0xbe9fb975, 0x5a1cbe3f, 0x097ccfe4, 0xfda6c23b, 0xf6cb235e, 0x3bf8f3eb,
+    0xadab82f2, 0x094c6a40, 0x2eb0661d, 0x703c84a1, 0x9ff0baf0, 0x6064cb34, 0x05580562, 0x1332de34,
+    0x0cadd022, 0xf5b218e9, 0xe0dd3641, 0x0accf0bd, 0x2a94c43f, 0xeab3e04d, 0xb93d1707, 0x5dc8169f,
+    0x4e83796d, 0x8e323bf2, 0xd8d5f592, 0x75c80d93, 0x80f956bc, 0x6a4825bb, 0x5f6fd8d8, 0xf4e3729a,
+    0xeecd276d, 0xb8a906ac, 0xd76fab6e, 0x3c7340e3, 0xc9bfd350, 0xb1f0631b, 0xff5e4840, 0x6065635c,
+    0x370e480b, 0x7c1b9ae3, 0x9f868563, 0xb4236c87, 0x0d9bd378, 0x693b5ef1, 0x24bfcd7d, 0xe9a98604,
+    0xe01a898a, 0x9afc939c, 0x85051cc0, 0x996e8d31, 0x7bf77364, 0xac0a7647, 0x29cb0deb, 0x1cfab8ab,
+    0x8fca2c49, 0xe6ddeb35, 0xb3eec4ac, 0xeb1a6278, 0x645ffb4c, 0x048bd901, 0x9813538a, 0xdfadfd9e,
+    0x8a5a5db2, 0x5fa4ae18, 0x7830d3b4, 0xf91e1e54, 0x71c747d9, 0x21af81e3, 0x17656eeb, 0x05b0c671,
+    0x56218097, 0x877ffd84, 0xf32d8b2a, 0x4bfd58cc, 0xf0fb6e89, 0x9abd39bf, 0xdf35a88b, 0xc68b09f9,
+    0x3adece79, 0xc08f2d22, 0xea155fe2, 0x2147b0c7, 0x58ccd9ee, 0x796864b0, 0x88b4659c, 0xd7fcc906,
+    0x3da18067, 0x13e909d9, 0x6be185cc, 0xc7fc970a, 0xef651f49, 0xbbf65f4f, 0xc0e973a2, 0x73ae4e1b,
+    0x1e1dd18e, 0xa530451a, 0x66646af9, 0x76529780, 0x3ee456e9, 0xefd5b384, 0x64331d2a, 0xfff772ab,
+    0x73ba8c86, 0x13f741f2, 0xb76afeaf, 0xa2424fa9, 0x4cd026c7, 0x6c131dd8, 0x9d184f74, 0xdce68b53,
+    0xbc35af51, 0xe5426be1, 0xfc5b6f74, 0xb90a5bc9, 0xf67d1c4c, 0xe76c8bc1, 0xf5d8d4a1, 0x69fa3852,
+    0xa233352a, 0xf854569e, 0x5107b11c, 0xdb9374a3, 0xea3816e2, 0x057ac74f, 0x0ce4325b, 0x183a7058,
+    0x3e7dd4bc, 0x6eed9943, 0x87d7a5ef, 0x90e3e65b, 0x026f9c9c, 0x4e305598, 0xe1fb8ed5, 0x08017827,
+    0x7ba6462a, 0xd25fcd59, 0x67deb8d0, 0xb75eb45c, 0xf49bd236, 0x00983121, 0xb3bb336f, 0xc70d887a,
+    0x6ff1ba0e, 0xd23b8209, 0xe6eb6c82, 0x28c6984a, 0xbb299295, 0xe5c889e9, 0x9c3b68de, 0xe3964d09,
+    0xe4143b3e, 0x4cccc377, 0xe1e5feb0, 0x9134afb5, 0xcafd8997, 0x2305baf7, 0x3df90728, 0x7467f089,
+    0xd441abdc, 0x63f9f1f2, 0x7a80d546, 0x849fa8f9, 0xe63601b0, 0x502ea7c0, 0xabfde5d2, 0x3dc2496a,
+    0xc88121b7, 0x487f9f57, 0x9315a78b, 0xb3ef8a55, 0x9980ea15, 0xca11b8a7, 0xc4ee9bed, 0x3d1c30c3,
+    0x92510f61, 0xd72ee914, 0xb20d275d, 0x1f4445d3, 0x1f9f1561, 0x57a05a36, 0x71bd9854, 0x5d2b8766,
+    0x89fe2a0b, 0x5406955c, 0x1db0491c, 0x5374c2a8, 0xe31f2bba, 0x58d10eb1, 0x96046d71, 0x0b261ec3,
+    0x8f5545e5, 0x3f6dc184, 0x1699908a, 0xc9d88cb1, 0xefeeaeb5, 0x16b99e39, 0x146425f1, 0x2a023745,
+    0xa7ee9c0b, 0x51658cf9, 0x3e003e3b, 0xdc419058, 0x3fc2d9d6, 0x96e74be0, 0x7f79b65c, 0x100e53a1,
+    0x093db8f4, 0xa40b4843, 0xb5b8dd89, 0x1a240b28, 0x96dc65f3, 0x06511ae7, 0x79cb6ac7, 0xec0f24f9,
+    0x442479a6, 0xe9c3855a, 0xb66b1642, 0x17e0dff9, 0x1e1730da, 0x6062aad9, 0x3b0fbe25, 0xea9b7872,
+    0xf7dd2b3a, 0x5b3ac382, 0x76f81885, 0xb9f67b3f, 0xb6d1b5ff, 0x7c07be0d, 0x1ca1491c, 0xe3e891bc,
+    0x0a38ea85, 0xe72b9eb4, 0x40a76012, 0xe6c06ffa, 0xec489bad, 0xfb1ebc8a, 0x93fbe8ea, 0x9fab7514,
+    0x18b4cdc7, 0x0c70f802, 0xd8f233b8, 0x5adfd5eb, 0x81ba0264, 0xe6d99c3a, 0x45f772ac, 0xdae21fbf,
+    0x370d9584, 0xe4ff4c79, 0x9264977c, 0xd8c0ecc1, 0xc74f3b00, 0x81b75105, 0xf2379270, 0x153f97a3,
+    0x294cc341, 0x332ba072, 0x440338cc, 0x49809978, 0x1bbbfe3b, 0xdcbe3eeb, 0x222a59d0, 0x9181b43b,
+    0x00000000,
+    0xfaad8eb3, 0x7ce8f892, 0x3f7a7754, 0x16741994, 0xb2020b9e, 0xb53a46da, 0x57f8dece, 0x6d3365b1,
+    0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000006012269011901013063397070327780702\
+                         79008174732520529886901066488712245510429339761526706943586500787976175353856 */
+  { 0x00000000,
+    0xdccffdcd, 0x9727e84c, 0x70e3ecb4, 0x7d21911f, 0xc062bdb0, 0x243514ce, 0xc9f4f07a, 0x21bea930,
+    0x24d1bb5e, 0x16642484, 0x9631c030, 0x5b64ace1, 0x9c36f569, 0x6a4bdf19, 0xa702c2de, 0x39913159,
+    0x97bb580a, 0x35b3fa91, 0xa039982e, 0xc3973cd7, 0xf46cd96b, 0x24520720, 0xa426da23, 0xbd7d2981,
+    0x1d606e1e, 0x02ac7d46, 0x1b8a0f0c, 0x8b8dbd84, 0x3a4664a6, 0xfe939318, 0xde5a0cc2, 0x0b49d46a,
+    0xca8939df, 0x61e62005, 0x5e74525c, 0x60ee8d4c, 0x03a0b6ec, 0x6540275f, 0x8fe694da, 0x4900b7db,
+    0xf51ed737, 0xb65f40e8, 0x0debcd11, 0xc4f75c84, 0xc1cd79e9, 0xb040df83, 0xc5679733, 0x55cf755b,
+    0xe13c7aa5, 0x7dc8399d, 0xd94841ea, 0xcb081a33, 0x78a025cb, 0xe1f6dcdf, 0x0da275ff, 0x9a297340,
+    0x3607dd80, 0x98ac4da9, 0xc3f73ef0, 0x6f5b0802, 0x363af28a, 0x40798def, 0x99fc5b90, 0x8bd13466,
+    0xff481df2, 0x06642932, 0x13a3a5e0, 0xc9b136df, 0xd15941fb, 0x4ff8a194, 0x7fff384d, 0x65387a5b,
+    0x715e683e, 0xf4d313f9, 0x18afed3a, 0x4a479c5b, 0xb9db2e0b, 0x65e55c79, 0xd206b8a7, 0x55cf7bbb,
+    0x36f80f57, 0x160da835, 0x30cbb0f9, 0xceb0743d, 0xe7d4229f, 0x356fb20f, 0xb87700ee, 0x308ff042,
+    0x05238c6c, 0xa243943b, 0xabd27c4a, 0xe1b05a98, 0xdde014da, 0x5cf98dae, 0xac4bd270, 0x3965c651,
+    0x77d5d5cb, 0xbd8bf79e, 0x3575e049, 0xf565da4c, 0x1d842b9f, 0x069055ad, 0xf950d215, 0x4b693c89,
+    0xf599b304, 0x03bd79bb, 0x1e0b856a, 0x3d5ae6e6, 0xf1c990c4, 0x654d96cc, 0xe1a3cb56, 0x2d9a95ed,
+    0xa0e1cbba, 0x66bd3817, 0xf6a98e7b, 0x8ccef418, 0xddfb65c8, 0xd20c3bd7, 0x486b5258, 0x765dc715,
+    0x1e8d7174, 0x1e3fc936, 0x4ea71e36, 0x991ebdc3, 0x3dbbfd3c, 0x282e9d87, 0x119a00bb, 0xb4353c55,
+    0xffcb0b36, 0x3cea312a, 0x1666e0bd, 0x767a107e, 0x4a66b241, 0x54e2d7ac, 0xe64898e7, 0xfb701604,
+    0xfe64c127, 0x8e823ef5, 0x106c77a5, 0x41ca70db, 0x70da2df4, 0x6aacc665, 0x93cbbe6f, 0x83e72d03,
+    0xfe5634eb, 0x935d04ee, 0xb423fdef, 0x966b9d28, 0x371bbeca, 0x635f0d04, 0xa7360550, 0xf12022ac,
+    0xf52be2a0, 0x914f267f, 0x401398d2, 0x349abe81, 0xa6ca084e, 0x171ec4d2, 0xc3116104, 0x270f0555,
+    0xb2d43b4a, 0x2bc61067, 0xd0b3f7e6, 0x53d7dc32, 0x156c5f83, 0x79a6ddf2, 0xe108aef9, 0xbceaa722,
+    0x5d270091, 0x5e46f369, 0x0448cc86, 0xcb8938dd, 0xd5266687, 0xab487c59, 0x2d5c05a1, 0xce44991b,
+    0x28924daf, 0x925f709e, 0xf03002f7, 0xd057446c, 0xe6be9f9c, 0xe02b1d8b, 0x53f80491, 0x3f0dd141,
+    0xf3599add, 0x48952d81, 0x6cf8a21e, 0xefa77f5d, 0xd219b2b7, 0x5ccee18d, 0xe368698a, 0x1112ca9d,
+    0x931bc0ea, 0x0c723b9a, 0xbabf7b6e, 0x681860f7, 0xc83fada6, 0x58da32b0, 0x22729333, 0x1f74cb93,
+    0xa38bc348, 0xf26ee9a5, 0xf8ea6fcf, 0x5aa54e98, 0x5e9e724d, 0x9bd38254, 0x5c890514, 0x081ee0d9,
+    0xa312e73d, 0x94b90b76, 0x02a26d5e, 0xa199fa5f, 0x33dbc1a0, 0x3487af68, 0x21ad368c, 0x734e6a32,
+    0x51e5265a, 0xc0ffb0e4, 0xf8978e8b, 0x7760f8b4, 0xbe56e27f, 0x789fa7db, 0xef1e26cb, 0x451d6b23,
+    0x0ec44dc0, 0x3fa47911, 0xaec887d6, 0x45428253, 0x9ca0a08a, 0xd851e9cb, 0x9e5b793a, 0xd5265f03,
+    0x126a1d47, 0xc3275ce6, 0xc2b188ef, 0xf184d6ec, 0x220e183f, 0xa6e845d2, 0xaf05aca4, 0xfe210691,
+    0x928fe0eb, 0x8d4bcbfa, 0xbd9c7f24, 0x9b66bb5e, 0x96a26ae6, 0x65e45848, 0x8aeac17b, 0xd049b5d7,
+    0xa2627b8f, 0x3b6c430e, 0xe4b3b77e, 0x4e35a7ee, 0xb6f865f7, 0x78f1c25f, 0x308446e2, 0xc2cf7fcb,
+    0xda313d2f, 0xf6f1178a, 0xeff00e2c, 0x6f1723de, 0x8e9da7f0, 0x60d0d5bb, 0xe9b16223, 0x64967a60,
+    0xb0ea039d, 0x73f60036, 0x98f77132, 0xc1876698, 0x6c255fa4, 0xbae70148, 0x6103f314, 0x27a4d576,
+    0xa443c384, 0x014fa8bf, 0x32d4a403, 0xf3db05fa, 0x30391890, 0xc52a6984, 0x818fc2f4, 0x593d53b2,
+    0x2f1dea8c, 0xd7b344eb, 0xb9e59a0c, 0x0ffa7de2, 0xb168622f, 0xf136e766, 0xfb4a7524, 0xcaae9887,
+    0x14014150, 0x0593e55d, 0x419310cf, 0xb3716d34, 0x92729899, 0x376e2962, 0xd90c6953, 0xf25aa826,
+    0x740e825a, 0xd6be0ef8, 0x6bbb4d27, 0x20a86d46, 0x403e105e, 0x2d2ff088, 0xe6eb6e25, 0xfc3f7cb5,
+    0x2c8bb67c, 0x4ffc700e, 0xe9915790, 0x5428bea9, 0x7ad32b93, 0x7d6a7fb5, 0xf31dc14a, 0x77b84a67,
+    0x45944a7a, 0x70805968, 0x5b7a1937, 0x21c9c1ec, 0x09078684, 0xf15989fc, 0xf5739a13, 0x9a1941d1,
+    0xe0469a3b, 0x34976d9d, 0x2cbda15f, 0xf03b45bc, 0x9aff7c50, 0x009c9c09, 0xbfd5778b, 0xf5cf1f94,
+    0x7e8fa8d6, 0xd96f3e0a, 0xd9106be7, 0xecbaff54, 0x571d23e4, 0x4a6b665d, 0xc46b7034, 0xb0489f92,
+    0x894097c2, 0x1e43b4a3, 0x846323f9, 0x8af6e588, 0x1943c5db, 0x3070d571, 0x6f83bee6, 0x13456ef7,
+    0x7bfed44f, 0xd730a3d2, 0x42bc2928, 0x2a40c7a0, 0x290914f5, 0xfc98ef3b, 0x2855359e, 0x8aac44a3,
+    0x93a86fc6, 0x454ce3ed, 0x7ccfcc09, 0x43721d35, 0x9168b06f, 0x5deee806, 0x17134006, 0x1b6f48c8,
+    0xd3e93d49, 0xa3ce90a8, 0x46df7b0d, 0x4108d082, 0xfeae8a7a, 0x298b3b40, 0x3c4abd4a, 0x61ec35b0,
+    0x4d937718, 0x77560da2, 0x024b5d56, 0xf70aeaaa, 0x0a203553, 0x2d49f7e8, 0xf2bc39d7, 0xc6ebdfc5,
+    0x6f024193, 0x6e5ae424, 0x58b1722e, 0x4e79a272, 0x97136384, 0x9c19bfb9, 0xcf20707b, 0xb8940cc8,
+    0x2500c612, 0x73d47747, 0x4e776c15, 0x31ff2b6d, 0xd35679d7, 0xcdd0ce1e, 0x32895f53, 0x12986ea7,
+    0x7ff1f4f6, 0x3848bc85, 0x4e862115, 0x82bba99b, 0x598a2a00, 0xcc22ea67, 0x300fddb0, 0x46e578cd,
+    0xb53e4ad5, 0xbc9c3f6b, 0x3f8eebea, 0xef7d13d9, 0x88592684, 0x11228734, 0xd9ca8747, 0x285f7b6b,
+    0x9466a464, 0x0b643441, 0xc46c5d71, 0x4b12e800, 0x512985f6, 0x673f3362, 0x5b33058c, 0xe90225e4,
+    0xaacb4dd8, 0xfecc88f8, 0xae426361, 0x089cbfe4, 0x3d20ffcf, 0x9c399be2, 0xbf1ea23c, 0x086c2b98,
+    0x40c8d5aa, 0x8f4613a4, 0xcb4af4dc, 0x77432501, 0xf76bc924, 0xd2d80749, 0x06751ade, 0x1ab35097,
+    0x644b9379, 0xbd826492, 0x507eb9fd, 0x2e08c4a6, 0xbef78579, 0x5a9b9841, 0x48e81db7, 0xdfd331d5,
+    0x5e49ac35, 0xd10aaf7f, 0xa351d683, 0xe72db1bc, 0xf48a7b36, 0x996507b9, 0xd1deaa95, 0x0480971e,
+    0x837ce8ec, 0xdf3708dc, 0xc75cdcda, 0xd6264a31, 0xfa331c7b, 0x0d4bae2c, 0x4d40faa1, 0xe777c5ab,
+    0xe8f07b4b, 0x0956ff2a, 0xd49ca2ce, 0xe3edc998, 0x24e1fe29, 0xb3592af1, 0x0fe1fef9, 0x7105e23c,
+    0xf15550cd, 0xeac7496c, 0xe1716a75, 0x6f6cbd99, 0xdf72dd67, 0x3ab660ad, 0xb502930c, 0x8ea2d838,
+    0x0ca574b1, 0xa8cc16b1, 0x5f1aad78, 0x7b6600c5, 0xbb70aee3, 0xa41ccfb5, 0x66471d48, 0xf20b2474,
+    0x67d230cc, 0x300dcd85, 0x8d6a7136, 0xab41c6b0, 0xcdb21e66, 0x2099d480, 0x7340a309, 0xacc751f3,
+    0xfeb773bd, 0x804d649a, 0xc8afcd75, 0x128adb20, 0x731d6f64, 0x06e07a70, 0x64c913fc, 0x31b28ad6,
+    0xb76e7008, 0x19f17d8e, 0x94b96959, 0x50425013, 0xc5d67b66, 0x7ff9b1f5, 0x165184cf, 0x646682ee,
+    0x9b1ea1a7, 0xcca7d670, 0x810651e1, 0x4749c961, 0xb6db052d, 0x68f280d2, 0xe3f92e7a, 0xb7014e80,
+    0x097cd237, 0x12401190, 0x277b8732, 0xc386fe60, 0x904a12d1, 0xc8dbfdc6, 0x13d4728e, 0x351f9678,
+    0x824fc007, 0x1cddacaf, 0xb8e59671, 0x28acdba9, 0x8a39225a, 0x8e00f880, 0x2eb7f4b5, 0x023f86e8,
+    0xbedab0cc, 0x1fc0d17e, 0x6b6190b5, 0xcf032418, 0x59f4099f, 0x4398d3b8, 0x9f5d1f0c, 0xadbdf860,
+    0x2c4e34f8, 0x0c7443c4, 0x92d13254, 0x8b5cb584, 0xc6f3f3ce, 0x6988ff9f, 0x10c40045, 0x451ffc30,
+    0xd4e9c6e8, 0xedc9419f, 0xd76b8283, 0x709be36f, 0x5c20c983, 0x072c43d9, 0x4ef4addf, 0xb7334ff8,
+    0xeda6bf9e, 0xee580ac5, 0x2647d017, 0x3d6a09d2, 0x29f96102, 0xfa39c76f, 0x068d70ba, 0x30049a96,
+    0x5536b224, 0xa002866e, 0xae242595, 0x783b1ba6, 0x5e18288f, 0xeec95f13, 0xd470769f, 0x977246f7,
+    0x2222b22c, 0xc0cde201, 0xa4031eb8, 0xe715554f, 0x70a122bd, 0xf2d6d231, 0x37e541a3, 0x6bc5fb6d,
+    0x954d9f05, 0x90800028, 0xa404e04e, 0x1918cd39, 0xddf27dea, 0xcad9e33f, 0xe00faa2a, 0xbe4b858a,
+    0x7288ce32, 0xe20fe8b1, 0x13485c59, 0x8ff59e2c, 0x237425e8, 0x3832aa6d, 0x747b4d86, 0xf0205081,
+    0xd014be38, 0xe1904dee, 0x7d05ed1a, 0x3f048543, 0x941b62af, 0x0d147b8b, 0x2b57cb90, 0x9d1ade1f,
+    0x4a9024e3, 0x6eeb312e, 0x90f1fb5d, 0xbf5c2e6f, 0x6ad5d9d5, 0x15728b3d, 0x0a258095, 0xc5f7cf44,
+    0x110ef928, 0x0ce1451e, 0xac342a1a, 0x939a5c81, 0x8dab758b, 0xf30d5aee, 0x82fb1237, 0x69834d8d,
+    0x56007914, 0x52022fac, 0xfeea4994, 0x93b8b5b4, 0xe53e524b, 0x2dbef06f, 0xac26bc00, 0x4b36ac94,
+    0xe587371b, 0x8a3f08bd, 0x41203d2a, 0x128bfb58, 0x715cc34b, 0x45f7ecd9, 0x4dc2c137, 0xae2ff11b,
+    0xfabec1c1, 0xeb4ad0ef, 0xd6643265, 0x683b364a, 0x01f8228a, 0x01afa23f, 0xfc6eefda, 0xebb73348,
+    0x79a039c7, 0x7a4fd41d, 0x8a6d07d0, 0x158da7be, 0x679456aa, 0x972752f5, 0xca9305cc, 0x236f8138,
+    0xb4a703ff, 0x8bb9addf, 0xf95cab69, 0x50727749, 0x16956e8d, 0xa4f969db, 0x874f758a, 0xea214b9d,
+    0x4168d2ff, 0xb6d886ea, 0xe2774c6c, 0xa34c6005, 0xfeec98c0, 0x061070f2, 0xc5d98a46, 0x346c0527,
+    0x07401f84, 0x5c8a2264, 0x8c4b602d, 0x32655636, 0x8f710b84, 0x72549752, 0xeb51ebf0, 0x1b317b16,
+    0x08a37580, 0x6eb8672e, 0xb81e2aa3, 0xf17cd3e4, 0xcd84845e, 0x7ba0f2ab, 0xc9f79583, 0x0082c084,
+    0x75e5ea47, 0x3aa8d756, 0xcb111643, 0xaf8204a3, 0x517c7110, 0x897580ff, 0x20298771, 0x2548a68a,
+    0x89fad530, 0x013fa0e4, 0x52bc5eb0, 0xd139e222, 0x84393e6a, 0x0dfc6c74, 0xfa850f47, 0x972f0ce9,
+    0xde32bec8, 0x2666c982, 0xf6b948e8, 0x6f5de10d, 0x84be8911, 0x69558386, 0xeaf9a412, 0xc045fa19,
+    0xad6fcfbe, 0x8e96981a, 0xe0d034cd, 0xd51c9176, 0x3f2bb27f, 0x86c22654, 0x88ae3267, 0x405a8cfb,
+    0xd1890932, 0x79756b9b, 0xab889c14, 0xe829b002, 0x83dde3bc, 0xc2b93f02, 0xf809faf4, 0xa279cc5c,
+    0x6977071b, 0x1d11b4cd, 0x5b995352, 0x163e8b45, 0xdf67bf51, 0x5c06a51f, 0x5708994c, 0x074714fb,
+    0xd0317a5a, 0x10a86c70, 0x541e8532, 0xc02595a7, 0x36c81ec4, 0x96ff6307, 0x1605f228, 0x7d5e17ab,
+    0x14cf71d0, 0xacd68037, 0x0941d0d9, 0x7e5d1ea1, 0x839db931, 0x69dc5ea0, 0x20f81f8f, 0xaae33f71,
+    0x874c064b, 0x1367fb18, 0x33757878, 0x13b0c77b, 0x1b06defc, 0xb8a934db, 0x5c8bab37, 0xd26a4bae,
+    0xb46b9ffe, 0xbdec693d, 0x38f100e7, 0x03449b3c, 0x200cde59, 0x93aedb0f, 0x11004f24, 0x440ca5c9,
+    0xef6520c7, 0x13fabfa1, 0x15595b79, 0xa8e6b407, 0xf69a5ffc, 0x80e68fd7, 0x60d22943, 0x94b6e8be,
+    0xe9177cad, 0x666d2752, 0x4610fc01, 0xe39c9e28, 0x8ad604be, 0x9073fff9, 0x85731a53, 0xa0308b5c,
+    0xdfc9b5a5, 0x9cbb630c, 0x8b31576e, 0xea95a179, 0x8128fe36, 0x5e2b79da, 0x6dec0d46, 0x4fc12f20,
+    0x14e5c6e0, 0xfbe1f6a6, 0x433996c9, 0x214f287b, 0x40808f5b, 0x5d03e9e7, 0x58899ee8, 0x567c994b,
+    0x32ea8685, 0xb0fe734d, 0x2bf42d1e, 0xafdedfb9, 0xd0d4b909, 0x765b5e7d, 0x3f804e15, 0xc50d7401,
+    0xcd4749d5, 0xf957e0e3, 0x38fe9724, 0x16b94bd1, 0x91de8750, 0x332e016a, 0xc35ba04d, 0x72878948,
+    0x082e989b, 0x5d3ff8a0, 0x6da63691, 0x13da5899, 0x5f9d284a, 0x377aa84e, 0x60467bfc, 0x02579b1a,
+    0x58600444, 0xd88b1efa, 0x3f3a3155, 0xd04b1841, 0x4785be63, 0x013817fa, 0x9423819e, 0x4ad51de4,
+    0x31bfc773, 0x836dea25, 0xb4ca7dc4, 0xb4d07eb0, 0x2c146245, 0x522430fb, 0xd38b2fbe, 0xcdc7ebf1,
+    0x19f74143, 0xe86f2782, 0x63a27061, 0x46df757e, 0x182867aa, 0x160de18d, 0x2b8d1f3d, 0x4b75bde5,
+    0xc7f05fea, 0x9a3c22af, 0x93721e4c, 0xa70a094b, 0xfa593b49, 0xc72da059, 0x8f9ec4c2, 0x26a7ba69,
+    0x4e7add67, 0x886f3f62, 0x5b6acb8c, 0x5ad5874e, 0x38456cc9, 0x17db1c56, 0x542dfc62, 0xe5c55e8c,
+    0x1c9d930d, 0x3d7134fd, 0x998116b6, 0x4b48f3ee, 0xaad02f8a, 0x654fd7a9, 0x96ec919b, 0xa61012c7,
+    0x01c73e5c, 0x23d4efb5, 0xa9f7ddd1, 0x4b42e678, 0x10610849, 0xedacff4d, 0x7f8ef2d4, 0xf5e032a3,
+    0x9b93a538, 0xd946e2ba, 0xdae00b00, 0x3f813900, 0x1bc1518e, 0x23fb10cf, 0xb16f9825, 0x30cf456d,
+    0x70e88913, 0x5fc97f3b, 0xced12e1c, 0x0a1203b0, 0xc5aef1cd, 0x366eb549, 0x19477249, 0x9799a6df,
+    0x2aaf8aa2, 0x8ddd4a6e, 0xa38897e3, 0x6177d214, 0xe897cdf4, 0xb1e93d15, 0xae02c453, 0x21c9bcc0,
+    0xc43b0a4d, 0xa75de05d, 0xfe201a8a, 0xf29da400, 0xda5607d9, 0xcfda5230, 0x423dbf74, 0x635d2acb,
+    0x0c5e65e4, 0x8c36f4da, 0xb12a9824, 0xa0c28df1, 0xc82e8d02, 0xcebf7f82, 0x1fe61c55, 0x1811304f,
+    0x7a8e375f, 0x6b5353e0, 0xa9992e3a, 0x2a904274, 0xf2152a08, 0x3aebabdf, 0x99de49d1, 0x84f498c7,
+    0x08ee5ba7, 0xd15bc8f8, 0x763e93a8, 0x51eefce3, 0x79dc6c9d, 0xac1ddcae, 0x78232b75, 0x884444c5,
+    0x1e42ebce, 0xf11df319, 0xd122faf6, 0x1d2f4ce8, 0x9c3bb2cf, 0xc7e63eff, 0xf088a726, 0xfdc50520,
+    0x36bbfdea, 0xd5e506e1, 0x1624f7d8, 0x5ce5a6b6, 0x6c9f8c65, 0x886e87dc, 0xc30631b2, 0xd7322cf5,
+    0xe4d6aede, 0x5c9002e9, 0x579cd953, 0xe48452a7, 0x9c8df5e7, 0xbdc70340, 0x03432ae4, 0x09530d97,
+    0x2aa700e9, 0x3fb11d8d, 0xbff5f326, 0x07d5a818, 0x54228905, 0x928bd69e, 0xfbdc9fee, 0x65894e46,
+    0x356145a0, 0x60202466, 0x8abdc180, 0xc6da811a, 0xa8ebbf43, 0xaa45fb78, 0xdf766455, 0x2c9e3e66,
+    0x72c57a6c, 0xee041899, 0xeb991d77, 0x1ce04fdf, 0xd6109ae4, 0x9dffe5a0, 0x7c276e4c, 0x209eb8d3,
+    0x3a1c2e5e, 0xdffc106a, 0x685d461c, 0x903bad32, 0xabb4df19, 0xd0c405dc, 0x9e7de0f0, 0xad9b7327,
+    0x1b1ef9a9, 0x53e2c6bc, 0xf184d80b, 0xbada055f, 0xc70986fc, 0x7fe9f2c7, 0x170119f2, 0xaf722aba,
+    0x6b2f0b4f, 0x084766e1, 0xe7b00e59, 0xdff3d4bc, 0xfd439c7c, 0x6a717855, 0x08faf2c1, 0x7854b368,
+    0xdc056007, 0xbee838df, 0x3e0e3e8e, 0x837bba71, 0xe4a878a9, 0x4f5d7d94, 0x95678225, 0x88790fdf,
+    0x00000000,
+    0x7d56c759, 0x3e747c49, 0x1fbd3baa, 0x0b3a0cca, 0x590105cf, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8,
+    0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000003006134505950506531698535163890351\
+                         39504087366260264943450533244356122755214669880763353471793250393988087676928 */
+  { 0x00000000,
+    0x7752745d, 0xf5d7ae9f, 0x600071ba, 0x5cb6760c, 0xa47495ba, 0x8d775e12, 0x6a5efaa2, 0xa780537e,
+    0xced3d9c8, 0x72d9c135, 0xc9456b8d, 0x153ee799, 0x847890c6, 0x26f89af4, 0xed7ca67b, 0xa95625dc,
+    0xd736a49b, 0x6ec4ee2d, 0xbbbdbba4, 0x92224fcd, 0x966c8746, 0xe761ac08, 0x2f8843c5, 0x0b6d9b0f,
+    0x0f91e84c, 0xfde6ebcb, 0xd26d28b1, 0xf59b16ee, 0x11d8f4c9, 0x6afbe9b4, 0x0ab68f43, 0x0020ac62,
+    0x5880b4cb, 0x6ca22408, 0x33aa80ed, 0x20907ee4, 0xb2a9e24e, 0xb3788847, 0xfd20cea7, 0xf0b86d8e,
+    0xbd98058c, 0xef74e106, 0x779d7425, 0xd8991c24, 0xf1306a05, 0x2ce82113, 0xccc1b216, 0xa0cf71c0,
+    0xd8135486, 0x0a5721bc, 0xeb8a78fa, 0x39b37dc6, 0x14402795, 0xa2296370, 0xe28b57af, 0xe306c2ff,
+    0xa069eb39, 0x3d0a383b, 0xdc4e2668, 0xb3e73f6a, 0xd60b041b, 0xee0723d6, 0x5185ed07, 0x8d46bcb4,
+    0x0924a9a5, 0x34a055a2, 0xf25d37bd, 0x643612bf, 0x7a7eaa82, 0x47437ef8, 0x0c6760bf, 0xc22ddc27,
+    0x6c5ac50c, 0xb1aae56e, 0x3c52b640, 0x7b5f0d48, 0xf763e2b1, 0xa460bba5, 0x20eac154, 0xaa613ddd,
+    0xa9340c73, 0xec67ed91, 0x5648783d, 0xfe03b069, 0x4faec611, 0xc962f536, 0x4536b829, 0x2737b5ae,
+    0x2fb19c50, 0xef739577, 0x16d380fb, 0x6f980725, 0xe8d9f842, 0xb4fd762f, 0xe369216c, 0xf0cae701,
+    0x9a32861e, 0xb37f2772, 0xbda795ba, 0xde75d956, 0x253d4c5a, 0x6395ab49, 0x2d102f27, 0xe9e3ae57,
+    0x750b51a6, 0x3e77650c, 0x46b83da4, 0xc252fd72, 0xf9fbfc73, 0x9a7bc90e, 0xc17e73fe, 0x184f922c,
+    0xf776db64, 0xd93c0002, 0x4187cae4, 0x23ab64fd, 0x4c12d3d8, 0x0134e966, 0x73a9478b, 0xb1a250ae,
+    0x105710a0, 0xdaf75418, 0x31fe7354, 0x2a493102, 0xeda80395, 0xddda9d5b, 0x0985f44d, 0x161376e6,
+    0xdb32907f, 0x74d898e6, 0x32836606, 0x5759a62f, 0x5ce89d8b, 0x8af5d499, 0x2c4e7d20, 0xeb0cec67,
+    0x377dd829, 0xfb10d7ec, 0xad703285, 0x99eace41, 0x673d9950, 0x853677d8, 0xfe176960, 0xeebf8caf,
+    0x95df6664, 0xb7e410ab, 0x48b0c383, 0xb2c89de6, 0x7b657a8b, 0xf3ec773a, 0x0e17a09e, 0x4362590b,
+    0xecc22fdf, 0x73e93e6a, 0xeb1d1db3, 0xb3293c67, 0x49197740, 0x519936c2, 0x4fd9ec4d, 0xd63c4fcd,
+    0xa0bffd9e, 0xb45faebb, 0x16f26b8f, 0x8282e3b6, 0x8785d598, 0xfe3c416c, 0x1d26fe19, 0xbd2147f5,
+    0x923d637c, 0x7d64a64e, 0xac9333b8, 0x393f4e28, 0xb1e13d72, 0x688f074c, 0x92ecb515, 0x3c1f8dcf,
+    0x509b7ff9, 0x2ad5033c, 0xb6fbb76c, 0xb9362bc7, 0x29fcf9c0, 0x869b1f2f, 0x25778ed4, 0x920f031a,
+    0x3fe11f48, 0xcedf1531, 0xafb9fc46, 0x0b1fc30b, 0xda9cab3a, 0xd1b08b88, 0xd5f7cdb8, 0xe8de2e11,
+    0xd991bf5e, 0x1c4d1f19, 0x33898a07, 0x47f56f37, 0xca8ecbeb, 0x98a84585, 0x3b82963f, 0xecb80da0,
+    0x7763571f, 0x53cfd107, 0xe853e6be, 0x5c058023, 0xa59e9ac9, 0xd533fb9e, 0x69f90f69, 0x94624e0c,
+    0x2f4b5d66, 0x4de1f4ac, 0x07632722, 0xf2079f39, 0x12fa0698, 0x6b6610a7, 0xd119b13d, 0x2cc4055f,
+    0xe48cb137, 0xbe3978e5, 0x0b84edcc, 0x261bfa8c, 0xca4aeb6c, 0xfedf62fa, 0xedc95217, 0x7a92ef4d,
+    0x9662fa7a, 0x7d55fa09, 0x034715fd, 0x3e39e615, 0x982ac772, 0xf6c3a4d5, 0xfab306ab, 0x8c4a9a51,
+    0x98a32b96, 0x70bd4146, 0x8d12867c, 0x83673a6c, 0xe6ef2e6b, 0x4c4269af, 0x9b35bcce, 0x27db6b59,
+    0x6fdbd8ea, 0xe1308fc5, 0xd8bb0a64, 0x0cdfbb1b, 0xe7d8cb28, 0x111d18d8, 0x61deb79d, 0xfc8d6411,
+    0xb0f9722d, 0x5de34f99, 0x1aead2fa, 0x4fb98ac0, 0x6de9114c, 0x772f2f35, 0xfb07856e, 0x363d9891,
+    0x687cf9b4, 0xf88c6993, 0xb8b52791, 0xba52cd45, 0x99534de4, 0x4434d51d, 0xa0a0005d, 0x71b95d6c,
+    0x1d527ce7, 0xfef27099, 0x52a17d33, 0x805848a4, 0xb6f350a7, 0x57517ccd, 0x3c69f736, 0x0eb079fe,
+    0x65d30468, 0x5ae64478, 0x96002aa4, 0xc540472c, 0xd7d50353, 0xb0bcb8b8, 0xd7f075ab, 0x2dd3f4a0,
+    0x886d6e99, 0x33cbb341, 0x281a2476, 0xd9c4f5f5, 0x2631b778, 0x4ba65e2e, 0xfcadbc71, 0xe953273f,
+    0xdf3b483e, 0x0e963a09, 0x3fb6d762, 0x0025cb3c, 0xb681c738, 0x8cc63420, 0xd4634550, 0x2c20ad2b,
+    0xd2b99574, 0x6496a595, 0x317b327a, 0xdf4e03cb, 0x26e936d1, 0x0d716c5d, 0xa51dbb4b, 0x3b8fdf4a,
+    0xec54f4b1, 0x45cf1905, 0x69da9249, 0x12f4b958, 0x69c52fd6, 0x90688330, 0x920e72b5, 0xd259df1c,
+    0x7602d4b6, 0xdeaa0a16, 0x7878490f, 0xb4614da7, 0xa3e975f9, 0xa9a2f283, 0x815be780, 0xa23b766d,
+    0xae7a1f34, 0x4f9c6ca0, 0xdf4acfb1, 0x10ca66de, 0x1c753344, 0xdc96a6ac, 0x708a679c, 0x7f21a3c8,
+    0x74407fb8, 0xb569b3aa, 0xaee19970, 0xdadccc6e, 0xa7f86bb1, 0x35430297, 0xa9c9d5fd, 0x1acda827,
+    0x1b5eed65, 0x3894794b, 0xf9f80e65, 0x2e66f309, 0x1cfc84a5, 0xf6631fb9, 0x20b00267, 0xc91b99ed,
+    0x133586ca, 0xe0f92354, 0x70a2ea00, 0x4eaae990, 0x5e94f1d9, 0xb1346c87, 0xe5f52bd9, 0xb4916339,
+    0xcf7106e6, 0x344624b7, 0x5b88883a, 0x89a519e0, 0x7f042d57, 0x67cfa7fe, 0x67f30f85, 0xbd520982,
+    0x749f3450, 0x1394691f, 0x8ea46726, 0xa824f7c1, 0x214d43e4, 0xd47430db, 0xdc98ef54, 0xb215870a,
+    0x513ab7ba, 0xcd440889, 0xccfd4a90, 0xc239ffd9, 0x2ad1f9ff, 0x6e676832, 0xf5a36fd0, 0xe3b8186f,
+    0x64847996, 0x5a64474b, 0x7f8fecbc, 0xbed48152, 0x693b9fa0, 0x1dd358aa, 0xf76eaa74, 0x3a5d6b2a,
+    0x670b63df, 0x3e921426, 0x8b35ee66, 0x6e5348ba, 0xdc29b48b, 0xac8a6436, 0xb2b4599a, 0x1840982d,
+    0x0d672c32, 0x705cfab1, 0x162466f5, 0xb745371e, 0xc9f10daa, 0x41b62c0e, 0xb80b1b24, 0x26641b85,
+    0xb916ffc0, 0x32fc771c, 0x78622140, 0xffa719e9, 0xc7bc104b, 0x70ddf96b, 0x310e32b4, 0x325131f1,
+    0xb7d61e6e, 0x42fe76da, 0x084f91f5, 0x637885a7, 0xe65d6cad, 0xca91db6e, 0xcc1573e9, 0x04da2cdd,
+    0xc5cdb8cf, 0xf086b895, 0xa1b507fb, 0xa977874c, 0xa0b7f2e1, 0xfa46ba09, 0xd5b313b0, 0xf5fa96e8,
+    0xe5ecab47, 0x9d9346ef, 0x02cdac8e, 0x5b199d7c, 0x087e35ac, 0x7a7f3c8c, 0xdb4df840, 0x766476a0,
+    0x00e92c78, 0x306a179f, 0xf5e62f50, 0x6a66f77a, 0x48921069, 0x5bb28bad, 0xdf4bd2f9, 0x2338ad98,
+    0xfe29a800, 0x8c49b38a, 0x65b2316a, 0x791e3860, 0x548d07e8, 0xaca6d011, 0x015b5c36, 0x0355bc2f,
+    0x080b43e6, 0x5ab14c93, 0xfad35d02, 0x3417746a, 0x6d32663c, 0x4bdc388f, 0x380edffd, 0x78ea6eca,
+    0x76f18dad, 0x6dfa0e6c, 0x6c8c94e2, 0x130f92ec, 0x23b9f205, 0xc0e2ab22, 0x06a30946, 0x6e967905,
+    0xf6b6d3f3, 0x13a9ed57, 0x5dcb58fe, 0xf1023177, 0x6521d4f9, 0x5bcbaa14, 0xfda81d64, 0xb7c01137,
+    0x9da3c299, 0xf60efcff, 0xd59b0112, 0x47bd76a3, 0x2c3d250f, 0x3ae1b443, 0x5d84df82, 0xbb0aba22,
+    0x5ae4564c, 0x0bc6c968, 0xb48a53b2, 0xd44788c0, 0x3c05d510, 0x195f3d22, 0x94859176, 0x065d5d11,
+    0x43541c7d, 0x9402b03c, 0xd33e7381, 0xb755acab, 0xeca10369, 0x4af95e01, 0x72bcd26a, 0xcbeca436,
+    0xbb0c28e9, 0xf18e6970, 0x8582cd34, 0xaaddf766, 0x7520435b, 0x5932a851, 0x9922a280, 0x757448cd,
+    0x5deb54d2, 0x3e5453a0, 0x731dcf77, 0xbcb00425, 0x4833996c, 0x338541eb, 0x5842f704, 0xfb77b587,
+    0x571419f9, 0x705d9919, 0x22e10750, 0x0f624a30, 0x67c57bbf, 0x7bac9715, 0xd400b131, 0x3db921c5,
+    0x4f9fcfe6, 0x155cd71e, 0xe34a40f6, 0xd2981220, 0xa0d49d76, 0x830aaf3a, 0x789ff54f, 0x6644bca1,
+    0xd790b726, 0x4d7c874b, 0xa9e4573b, 0xc44eb5b9, 0x052b9baf, 0xfcda01e1, 0x9ee7a460, 0x0be63abe,
+    0xf96cf9a1, 0x419db940, 0x6283be61, 0xc3aab7f2, 0xb1371b35, 0x71790081, 0x09a89a3a, 0x711f0b67,
+    0xd7ff5360, 0xa275346d, 0x125c1c0f, 0x128acf27, 0xaa57d09b, 0xf51a4615, 0x2714795f, 0x8e7e7cc9,
+    0x54a2ea0c, 0x8403ebc7, 0xe99cc78e, 0x4470381f, 0x7ffcb9a1, 0x706e3035, 0x3fc7a332, 0xb39fb247,
+    0xa4cdf504, 0x16ef260c, 0xca5545c2, 0x115e010e, 0x88e5399a, 0xa7d77c94, 0x100c1bc2, 0xfd37eae8,
+    0x669c4d29, 0xd8500417, 0xb235d184, 0x8db1bf98, 0x66f81392, 0x8c319ef9, 0xe499d06c, 0x09a7135d,
+    0x59558aec, 0x049cc116, 0xb775f1d5, 0x20d644b2, 0x32e540c4, 0x20750c4b, 0x83e7aa34, 0xbf0c07f2,
+    0x10efe786, 0x1762b9d4, 0x65ca7114, 0xd92f5a40, 0x876fddea, 0x1cd8d4ec, 0xba2cda79, 0x1ad739fd,
+    0xfc6939a2, 0x4591400b, 0x104a89c8, 0x40c32286, 0x01a2daf0, 0xaccf81e5, 0x3e529977, 0xcf1a16cf,
+    0x5e8a2a3c, 0xdc1f2aca, 0xc55befa9, 0x6ef21ad1, 0x1dcc41af, 0x287c06f5, 0x1c31cb69, 0x7219ef8d,
+    0xa5b1eb1b, 0xdf9685da, 0x4bbd97b5, 0xaa289902, 0x9401fb3f, 0x28679eff, 0x1a2dd7de, 0x6c540564,
+    0x630e4237, 0x542a2cc8, 0x12786da3, 0xcf9f591d, 0x5101fd3a, 0x3cf7a06e, 0x1851f0c5, 0x4c660ebb,
+    0x6aef7124, 0xbccd7d5b, 0x843ca1c4, 0x482206cd, 0x2dbbe5ba, 0xe72f5456, 0x855e7a1a, 0x838673a3,
+    0x6a773830, 0x90b9f31c, 0xb9ab1854, 0x6ee08eb9, 0x5034dd44, 0xd2d4163a, 0xe8d1308c, 0x03329eb0,
+    0x866b5262, 0x1ef2d40d, 0x01b99b17, 0x3dad4c2b, 0xa3715e71, 0x31a63a7b, 0x0d443a60, 0xe666000b,
+    0x85b13b68, 0x6f9b2e3a, 0xf4fc6570, 0x58a33b65, 0xfacdecd1, 0x15e13f1c, 0x01c398e0, 0xc75ef56e,
+    0xd06e1565, 0xa4160480, 0xdd217ce1, 0xd987f88a, 0x4286420f, 0xae30cd7f, 0x0df50610, 0x930b5342,
+    0x70dfd570, 0xf08636ac, 0xd961e43a, 0xa9f3fded, 0x17d4f7fe, 0x6fb7986b, 0x13fbcf5f, 0xfa5c16ad,
+    0xe40086fb, 0xaa131353, 0xe1ba20b3, 0x81c18718, 0x2ffa6b57, 0x7ba672a8, 0xa0e5dd46, 0xd5af9048,
+    0x5cf9fbef, 0xa6a2fb82, 0xe18ef348, 0xf803a8d1, 0xa56ad824, 0x3a84889e, 0xdf711f88, 0xcf5bd442,
+    0xbc898ef4, 0x989a3e7e, 0xe2196953, 0xf0c79d1f, 0xa7f6de55, 0xc59628b3, 0x9e9ceae1, 0x0faf9cea,
+    0xc9930bd2, 0xacb04274, 0xaf5b7dc7, 0xa2fd38af, 0x94b3fccb, 0x1d7aa2ea, 0xb6ed26f4, 0x39739668,
+    0x78962c9c, 0xc02ee4e7, 0x0db43e20, 0xd73ae475, 0x770d9257, 0x24cf510f, 0x6ddd4dd6, 0x78702ee8,
+    0xbc773e1e, 0x0de12ef0, 0x0ac9bd47, 0xe5f6fabe, 0xf10ed220, 0x3a74bc92, 0x7d37f417, 0x7bcc223a,
+    0x2aefd5cf, 0x6594e71a, 0xbd9a6e67, 0x67e1ae04, 0x8d7226cf, 0x8b16fe7c, 0x09ffdb33, 0x973177bf,
+    0x4cb1d8ee, 0x83296426, 0x150361ed, 0xfff9d62a, 0xb0c27dc6, 0xf367dd7e, 0xfd4221cd, 0xfaa87ba2,
+    0x6e0e5526, 0xd61cd3c6, 0xdb668825, 0x11df5882, 0x5858cba4, 0x803583b2, 0x3aa5eb08, 0x21806728,
+    0xa1a178a3, 0x7a6694ef, 0x11e7dd82, 0xcf921a54, 0x88699136, 0xb1820cce, 0xaf41fc83, 0xd503731f,
+    0x7d3d83ab, 0x673f7bf9, 0xaa4f57a6, 0xc202dc77, 0x0db1de7c, 0xc0ce7cf6, 0xf80f243a, 0x89e2b50f,
+    0x5fcadf17, 0x1fee5875, 0x33210317, 0x373ac3e2, 0xa57f925e, 0x6b82a369, 0xa7bf6240, 0x8e02662b,
+    0x883c53a8, 0x5f05d7ad, 0xf7df386f, 0xb6c7b5e3, 0x49495649, 0x7b5a7e82, 0x0de699ee, 0x1422d08f,
+    0xb17fcc99, 0xfa6841b5, 0x010afa5e, 0xf9fbc9db, 0x4ce74b5c, 0x8e8f2f24, 0xf8b2a12f, 0xbfdcac25,
+    0xde51a549, 0xf7f7402a, 0x05e1b1f1, 0x35213abc, 0xbc8cdf45, 0x16a6a0f0, 0x279cf087, 0xe566038a,
+    0x4fa3891c, 0x6fd28531, 0x274cdd22, 0x94b44250, 0xbf34a8d9, 0xb1d2783e, 0xdcb6db28, 0xed57625f,
+    0x42acc300, 0x5b5dcf49, 0x1dd41ae8, 0x8cb38e1c, 0x8ba5f254, 0x826e0125, 0x73a53433, 0xf6d77acc,
+    0xead8fbfc, 0x7a31e769, 0x2cf08713, 0xb1efdd06, 0xf9f4bf46, 0xc9a49faf, 0x14a12d69, 0xecfe3c8b,
+    0xfa98f9c3, 0x13952b6f, 0xeed04752, 0x9fde9d75, 0x35d6f95d, 0xd58ff52e, 0x09930321, 0x9185054b,
+    0x2c83110b, 0xc3948845, 0xf470b3e7, 0xc76eb702, 0x303eb7ff, 0xc12fecb3, 0x4e301c7d, 0x4b45599a,
+    0x5be73af0, 0x6639cc9f, 0x45988373, 0x16722b45, 0xd19ba5a4, 0xf6d24af6, 0x474cdb4e, 0xa26f1239,
+    0x8c85b072, 0x6c419491, 0x01db310f, 0xaa81932b, 0x996cdd7b, 0x42849de3, 0xfa0aabe0, 0xeab2929e,
+    0xc026f2ad, 0xfbd196c5, 0x5885a053, 0x0d43c6dc, 0xf2e4d12e, 0x70061f68, 0x229930a0, 0x061d8b29,
+    0x9a99c907, 0x563893f0, 0x9f2e1a2b, 0x1bfce322, 0x50a94151, 0xdd2f0834, 0xee465398, 0x6fe1521f,
+    0x687cd619, 0x27ceaef9, 0xb78cbc42, 0x7aee7081, 0x30688007, 0x78ae3491, 0x8f41e705, 0xff7dca39,
+    0x2511b80e, 0xef93da14, 0x92767632, 0xf8f8fbd2, 0x873a5c8e, 0x9633604c, 0xd3233d0f, 0xfb8b8a4d,
+    0xa7df0791, 0x58c0a7bf, 0x41d1f8ed, 0x86d9ffb9, 0x4dd70e52, 0xec290ef5, 0x4243c914, 0xc9e64d70,
+    0x72f02d4b, 0x3ac97537, 0x233f6e89, 0xde7e538e, 0xab9e07b9, 0x2e94711d, 0x5377f0ae, 0x59b53a79,
+    0x15c0a0ac, 0xa9deb788, 0xadabc61d, 0x1f5da368, 0x6e8de6e8, 0x4e5a98d4, 0x3f96167a, 0x993b8c81,
+    0xac9b287c, 0x795ab01b, 0xd1ff7c9c, 0xd58693aa, 0xfd0cb290, 0x7bb91db9, 0xdb193e80, 0x25c6f5df,
+    0x11371204, 0x138ae697, 0x677d1cf4, 0x81eb2aa6, 0xa58c6bf8, 0x9f0aa122, 0x7327f47a, 0xe23f70b2,
+    0xb13179aa, 0xa21e0525, 0x29513c4d, 0x96c50c37, 0xc6217d38, 0x1b4ee1e6, 0xdb14dd8d, 0xbca6f7c3,
+    0x6259b962, 0xf6b5c052, 0xd7ff76ae, 0xc1850b84, 0x14b06233, 0x3748b843, 0xd4182f3e, 0x23e2681d,
+    0x1b63c927, 0xe80be87b, 0x2cd1612e, 0x75e2ca90, 0x2db8d5c0, 0x07a526fb, 0x6f933c93, 0xc3ecabbf,
+    0xe080e72d, 0xcd6a53e4, 0x7d02479c, 0x2de6e2f7, 0x20321484, 0x9a3b0fe4, 0x00d3f0d1, 0x533ba132,
+    0xd9848a27, 0x428b61ed, 0x48ee7a98, 0xfda518bb, 0x73f38f5e, 0x6b6f40fe, 0xc6571861, 0x823bf1a1,
+    0x1c9f54a1, 0x7af984ba, 0x0eec9b5a, 0x7db3e010, 0x484f817e, 0x2081bad1, 0xff75dd25, 0x90a648a9,
+    0xf52eaffb, 0x9d1429e4, 0x0e9f106e, 0x78745502, 0x261363d3, 0xd7d40cd4, 0x5dd667d8, 0x9046b32b,
+    0x0d1f6ca4, 0x2b8fe062, 0x4802ed0a, 0x699e9182, 0x1da6c7aa, 0x1455d284, 0x1acb5ea5, 0x494aad5f,
+    0x39ac30f0, 0x512f1f19, 0x4d321a9e, 0xe6822d41, 0x3eea8461, 0xe7eb3a74, 0x96b5c2f0, 0xc5e027f5,
+    0x1a827eeb, 0x0f0e7ffe, 0x716a650f, 0xb5187196, 0x65291b68, 0xffbc8656, 0x95a8c902, 0x0f39114b,
+    0x4078ef98, 0x9991e45e, 0x118a1b2c, 0x9a542518, 0xa9854f98, 0x5fc6fded, 0x14fe09b2, 0x842b276e,
+    0x00000000,
+    0xbeab63ac, 0x1f3a3e24, 0x0fde9dd5, 0x859d0665, 0xac8082e7, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c,
+    0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000001503067252975253265849267581945175\
+                         69752043683130132471725266622178061377607334940381676735896625196994043838464 */
+  { 0x00000000,
+    0x277de2d0, 0x4927c984, 0x281b7190, 0x943869c4, 0x947bf990, 0x9dfcc28b, 0xf0e3014f, 0xd0433b5d,
+    0xc226820d, 0xd7caafeb, 0xd29911e7, 0x01b0d5d2, 0x42c46c6c, 0x3fdd7349, 0xdabd6463, 0x2f31b004,
+    0xd773cad5, 0x27a5d23e, 0x96330e1f, 0x830cebe1, 0x303b7f9b, 0x5a5732ce, 0x1f51b26f, 0xdc1c1945,
+    0x1a8e4e40, 0x7291a2dc, 0xb0e6c5cc, 0xca4ff956, 0x9f319634, 0xd3ff0256, 0x17c798ce, 0x2d9c2b9e,
+    0x59c77970, 0x7c9f8b93, 0x2e111b1d, 0xd3a49d5a, 0x610957fe, 0x7b056c83, 0x266d06ef, 0xd0e8377a,
+    0x13d67591, 0xc3a6b53a, 0xa3f36d17, 0xf3a833fa, 0xfe4f56e0, 0x55a36222, 0x738ecc8f, 0xf3e91f2b,
+    0xd18898a7, 0xe482dcd8, 0x68c3137d, 0xbe2cd0ce, 0x33d7562e, 0xb2dd5198, 0x2824708f, 0x9e710542,
+    0x75f7e4b8, 0x87f46079, 0x4717cb24, 0x33b58440, 0xb079496e, 0xe37ce035, 0x8c2a8eb0, 0x73145b44,
+    0x2b9f364f, 0x39059af2, 0x161d3730, 0x89cefb86, 0x25070f3b, 0xdf7c68e2, 0x97aab7e8, 0x9e103abb,
+    0x70bcf089, 0x9e04aa69, 0xd707fec7, 0xfada5952, 0xb051d54b, 0x3b49ab58, 0x7ef9038b, 0x16198ecb,
+    0x1e5054b2, 0x190bbc65, 0x5da779a0, 0x282921a6, 0xd97bffe0, 0x592a5110, 0x5adff74e, 0x96c49504,
+    0x387232e2, 0x94adb109, 0x5bfa7d06, 0xad78ad44, 0x4c9544fd, 0x6474f0c4, 0x24c45e2f, 0x58c28d82,
+    0xe1498e84, 0x7926c2ed, 0x2c3b807f, 0x5d996844, 0xef810013, 0x9686cf57, 0xe5a1738c, 0x5cd410b8,
+    0xbe2ff1f7, 0x3e28ae3a, 0x991ed942, 0xa82908ca, 0xe089a523, 0xb9485985, 0x82f8ece5, 0x5364b66b,
+    0xb20545f9, 0x218abfab, 0x423833fc, 0x9c599c08, 0xfb87a6e4, 0xe7d35f57, 0x955dabe0, 0x38f55b6f,
+    0xf3518299, 0xeed7ef77, 0x40f9cf25, 0x4426f307, 0x487535aa, 0xe8ab300f, 0x48be8c62, 0x367c096a,
+    0x70955d47, 0xe9980827, 0x9a3de321, 0xfd02410c, 0x6614b79c, 0xfaae3856, 0x87c1b79e, 0x480ff3fa,
+    0xab9d1bc1, 0x7f83eaf5, 0x043000de, 0x5d74e434, 0x9bba6b0e, 0xdbe41e92, 0xe574d21f, 0xc3ad0554,
+    0x8078c9ef, 0x5e63dd30, 0xf957a3ba, 0x9dfe3368, 0xe6aa561e, 0x822b6a87, 0xec5b1e51, 0x08f0e263,
+    0xfc6cd6f3, 0xb5827de6, 0x7015436a, 0x6a14567d, 0x45285011, 0xe0a28c12, 0xbc0ac234, 0x08de5b58,
+    0x9f43afc7, 0x151be86e, 0x758ad43a, 0x4b3036ee, 0x58412f70, 0xc7c7c0d2, 0x227838a4, 0x11b88a0b,
+    0x8370177e, 0xb9c90735, 0x9dcabc06, 0x3ffb7508, 0x79fcbd90, 0x4ed4a571, 0x915e00b4, 0xc3c13715,
+    0x7da272a9, 0x81b85403, 0x5c829f63, 0x8cff4dff, 0x71deb894, 0x79d0214b, 0xb5711860, 0xf69cbcef,
+    0x07614dab, 0x8b93e7e0, 0x9191ca9b, 0xe7b10e65, 0x52c0a130, 0x5079997d, 0xbeab3e01, 0x351e49f9,
+    0x3c6c85d2, 0x07ca3c18, 0xd2a389df, 0x728b500c, 0xd4a7a088, 0x77fdd2be, 0x64e9595d, 0x12f11a9b,
+    0xf7fe3193, 0x65e56003, 0x9fa75d22, 0x57fa1bf6, 0x14b63ab1, 0xa3add327, 0x7efb6a01, 0x43a3c2b0,
+    0xa45c4723, 0x881d5cd9, 0xe876ca28, 0x7c98c984, 0x1f54a325, 0x8e6bca84, 0xba7aff67, 0xc57fa8fa,
+    0x776a226b, 0x4b5827e8, 0x6c21051f, 0x6f73e01e, 0x96cb224e, 0x5b12d883, 0x2108627a, 0xe6d21000,
+    0x5ac66525, 0x2c56c81b, 0x0ebd7528, 0xdbf341ff, 0xc80e90aa, 0xac0c80fb, 0x2b5a88cc, 0x81a78c2c,
+    0xa6eac12e, 0x275b7008, 0x2f011180, 0xd02f33d1, 0x771a1472, 0x765a774e, 0x97886c3f, 0xc3b6144b,
+    0x4aa05f2f, 0xe66ecd1c, 0xe3b6f247, 0xa3e700dc, 0x2fc443d5, 0x1e6db210, 0xc0a6c967, 0xb849a465,
+    0x022fca30, 0xe5b493af, 0xe4945e1d, 0x7328ce84, 0xa23fab13, 0xd037fc01, 0x9ff9c161, 0x7f04a0cf,
+    0xc036f169, 0x11f3e2b5, 0x86322d75, 0xfa50b57a, 0xf7cec05f, 0x0e28e2ba, 0x304e5414, 0xc77b4e90,
+    0x96485508, 0xa800dc59, 0x22581047, 0xb672d2f1, 0xe4415727, 0x07668895, 0x4e49618d, 0xe458f057,
+    0xc67c30ab, 0x951e675b, 0xe8c607fb, 0x6323e40b, 0x6832b413, 0x24399a2c, 0x804bb867, 0x5470f2b9,
+    0x826d70c7, 0x91827256, 0xdb0747eb, 0xb404828c, 0x9af3f20c, 0x950aca06, 0x210ed906, 0x7b13acdb,
+    0x1ab34e8b, 0x1ce01cfa, 0x2e5051e6, 0x233f334c, 0x0426299c, 0xd280869e, 0x8910a4d9, 0x5a21cd6e,
+    0x36355c41, 0x7f484fb6, 0xa01230d4, 0x5b37ae57, 0x56767cd6, 0xdde1516e, 0x181ba64a, 0xd3b96531,
+    0x4d8c84df, 0xbb0b147c, 0x7d599fc0, 0xf3b6fdea, 0x035426e3, 0xd60ab7d7, 0xa1308118, 0x8214c687,
+    0x0d30413a, 0xb0688e3d, 0x2499deb0, 0x1a9d3dee, 0x08642649, 0x786cf769, 0xbd7af56b, 0x498467ee,
+    0xfa24b26c, 0xe0f8b353, 0x0727e1e5, 0x38417d37, 0x093ba72d, 0xfe5d78e2, 0xf58e1620, 0x88b9aa2b,
+    0x641c50c8, 0x6d161fb4, 0xa656f0fc, 0x19c614de, 0x3752ff82, 0x30406e03, 0x550122a3, 0xa6a928ea,
+    0xc574e005, 0x8ce57ce5, 0x50332186, 0x92dd91de, 0xc0935725, 0x7153e70b, 0x889d373f, 0x54b07c79,
+    0x4afbbd5b, 0xdcaa8557, 0x5ea4a28f, 0x0403ee60, 0x515618fb, 0x92a9c5e2, 0xbe12ea57, 0x264d99b9,
+    0xa8a8d881, 0x1b6af949, 0x57e6e967, 0xa010f47d, 0x02b72603, 0xc19cb2a6, 0x5fa1e87d, 0x1fc2709f,
+    0x9cd70ce8, 0xfbaac40c, 0x493f3bd9, 0x5a94cf93, 0xc4f4041b, 0x10faf6b1, 0x4b60e224, 0xb4115e91,
+    0xee1fbbb5, 0xbb7d083f, 0xce8d5174, 0xf8c319c1, 0x73785701, 0x5aa5e511, 0x0effbae7, 0x803a1ab5,
+    0x4d40b750, 0xc652a888, 0x23883471, 0x12f49c50, 0x497078a3, 0x3d3f9e32, 0xca684cbd, 0x2854ed20,
+    0xd8fe77d3, 0x8b379350, 0xc4cdd51a, 0xc7c24f16, 0xc70cb34c, 0x996849e0, 0x3daa0d8a, 0x83b4dd7b,
+    0x4a3af382, 0x5d06778c, 0x1f55ca2b, 0xfead1457, 0x8235813a, 0xc819a5b4, 0x1d111aa9, 0x34e90a90,
+    0x731f992e, 0x49543d04, 0xe6a3214a, 0x3487ad3a, 0x33cdbcd7, 0x6ebd2e18, 0xba629fde, 0xb0c01c0f,
+    0xbe6143c6, 0x4f56bedc, 0x44251814, 0x44a14a60, 0xd5a0276d, 0x986f5f7c, 0x5993cb55, 0x7f0335d3,
+    0x4b42db67, 0xcefcb7a5, 0x4c8a39fe, 0x018b31d2, 0xd4b1e81e, 0x40fc9a43, 0xe7e06b8d, 0x9c45c7af,
+    0xee451399, 0x6eb4a331, 0xb1ed9581, 0x27619bfb, 0xac2d212a, 0x2a0496df, 0xb1ef55d1, 0x970c556e,
+    0x5fbb1b4c, 0xea02ff89, 0x14d43b4a, 0x46eef03a, 0xcf7fd509, 0xe83aaef5, 0xf4f0b328, 0xf9381930,
+    0xd5f7d212, 0x223f51e5, 0x012abe49, 0x6ac27c04, 0x31fa27b8, 0x009afb7f, 0x0c4dd620, 0xfe028551,
+    0xc9f5b1e3, 0xfb780ffb, 0xfb74c140, 0xcf2a39ef, 0x1ee44c49, 0xdc82a095, 0xc3cec8de, 0x12611fe5,
+    0x9b55cccb, 0xdc1a442e, 0x03e7837b, 0x4e9978cb, 0x855ff91c, 0xc95db193, 0x20dfc478, 0x806b9836,
+    0x691ff6cc, 0x136374e0, 0xd3ba1679, 0xa4551762, 0x7b507d87, 0xde0600f6, 0x01ff8d18, 0x01ccc16a,
+    0x3dd9f53c, 0x828fb84b, 0x30229b4d, 0xec1d1119, 0xe8cda77e, 0x23a3e8f8, 0x7a95a939, 0x44c4a4a2,
+    0x4cfbfc30, 0x26e5ceb1, 0x0dcc1567, 0x4c16e236, 0x264ee153, 0x9e86922a, 0x40ef2654, 0x28b42a74,
+    0xb7e40770, 0x147f264a, 0xd70f4294, 0xd0dfadd0, 0xccdd06cb, 0x09376be7, 0x02d3df6b, 0xc3df2c0e,
+    0x5f04a590, 0xb09df9bc, 0x475e0d4e, 0xb0e43262, 0x098ff4e2, 0x9eae0c35, 0xe195dafa, 0x3a13544e,
+    0xd5b81559, 0xbb47a1d2, 0x73f4b122, 0x112d98e5, 0xf15a5498, 0xa56cbb61, 0xa090aa34, 0x346df864,
+    0x5bcf89bb, 0xc2f93c20, 0x2930f503, 0x4836fb83, 0x12e5d6c2, 0x171f08cf, 0xd37fdef1, 0xf1a701fa,
+    0x86dba441, 0x1984d079, 0xebc31203, 0x632b8947, 0x7f94d53b, 0xf4e89082, 0x6de1983f, 0xd6fdca63,
+    0x5e53de6f, 0x1f3ad54b, 0xf162ebe4, 0xde419dd4, 0x6b926cc9, 0x218efeaa, 0xc29e1c58, 0xa57b7f29,
+    0xf74a0257, 0x57aa0c25, 0xa73b4332, 0x89baa31b, 0xe54062fa, 0x2cfaba0a, 0x79ef75d2, 0x4713d7d3,
+    0x976bcaa5, 0xc8a7249d, 0x0186c305, 0xea293579, 0x5ab60bc2, 0xa47e5cec, 0xf4cf1c5b, 0x398bec91,
+    0xb8d33901, 0x1fa2d8e1, 0xf49975c6, 0xa1249489, 0xecf2397f, 0x5510f965, 0x81743a07, 0x105f4eae,
+    0x52e1f0f2, 0xf37ef440, 0x1f85bdb8, 0x8632338b, 0x013f4656, 0x56746389, 0xbc41d6bc, 0x180a9d94,
+    0x90310108, 0x03f16960, 0x99c2c549, 0x31c05629, 0x5f741590, 0x49a6fdf7, 0xa536713c, 0xd0e67ab1,
+    0xaae981cf, 0x9f4acb64, 0x35ed383f, 0x77d2c313, 0x9a66fb4a, 0x077389f7, 0x599cd239, 0xcaf9a5db,
+    0x5c67f9da, 0x6c9bb492, 0x52e5f865, 0xbe04e3f4, 0xfb50bb00, 0x885718d3, 0x641dc6f3, 0x2d4da3c9,
+    0x58e3fd0a, 0x453d709f, 0x24b07707, 0x693e030a, 0xe4241aee, 0x083ec2bc, 0x192cb42f, 0x3d0e94da,
+    0x5e619a66, 0x7aa23209, 0x34a99c72, 0x45ccef07, 0x78801696, 0x1c9357ab, 0x96056858, 0x63cac086,
+    0xb825d5e4, 0x8783b709, 0xb56a36df, 0x02da57ae, 0xda4b4033, 0xe59ff709, 0x72e059ac, 0xd44e7135,
+    0x1ea1fea5, 0x4cc6adb1, 0xa818b1b9, 0xc935df8f, 0xed50235a, 0x84011163, 0x097f7d87, 0x0799f7cf,
+    0xa40739d5, 0x23a9908e, 0xd27fd9e1, 0x0481e143, 0x9cd02221, 0xd8d9884b, 0x92ffa259, 0x34b52e1d,
+    0xe8610ebf, 0x29add0a5, 0x3ca5e83b, 0x9b7e9fa4, 0xfb36cc38, 0xea280be6, 0xd89b6b5a, 0xe8cc304e,
+    0x5cda6af6, 0x5bd34a7e, 0x4aadbc62, 0x9c268a39, 0x907a9c26, 0x2beebe4f, 0x8f5dfaa1, 0x9f6ca4f7,
+    0x06f28f52, 0x8dda440f, 0xb8465174, 0x0aac0807, 0x99cd8cde, 0xa752830d, 0xdf27c01f, 0x59d6ec04,
+    0x72502ce2, 0xa1cefb6a, 0xcae18da7, 0xb3fd23b1, 0xc1cc01a0, 0x1129904a, 0x2402ef6d, 0x9f37f4d4,
+    0xe836c3ec, 0x339ca39c, 0xa6758e60, 0xfdb1499f, 0xfe016e14, 0x6e10c4ca, 0xc8f2de01, 0xc87d52e7,
+    0x67ccf7a1, 0x645cb63e, 0xe208c2b2, 0x814fba22, 0x82ec8dc3, 0xe0fb0c93, 0x567d6dfb, 0xf8f74e37,
+    0xbc9f0a50, 0x0e358b57, 0x12cecc7b, 0x5c687412, 0xb87c3fa6, 0xa863714a, 0x2dff730f, 0x52f516a4,
+    0x4daad6a7, 0xc6e7a3d5, 0x25d176dc, 0x6dd9da19, 0x68c805eb, 0x32161fad, 0x364c40cb, 0xbd0b174d,
+    0x1d361888, 0x100ec184, 0x74c58c47, 0xf82f2e76, 0xe655dbb3, 0xcfbb0f00, 0x768b74fe, 0xd854e3c3,
+    0x050e32b6, 0xc68e2b75, 0xb348483b, 0x2a92b067, 0xe5975223, 0x1230da9f, 0x0136bb3e, 0x2d80a400,
+    0x225cc57d, 0x000c30cd, 0x64f324a4, 0xd900dbc0, 0x34922e32, 0x994ed5a1, 0x35eb98a9, 0xb3bdce23,
+    0x255876ab, 0xea7f4390, 0x1bee1073, 0x13bff176, 0x01286015, 0x52dbad98, 0x917ff6f3, 0xe0c944d1,
+    0x35c4047d, 0x0ad8cfa4, 0x881c6eef, 0xb99a720a, 0x5ef353ad, 0xe2a4bd5f, 0xfa398583, 0x64dc86bf,
+    0x7679ee9f, 0x1688c3a4, 0xd104a883, 0xa93b1648, 0xdba2ce5a, 0xdec33e59, 0x1506b1c4, 0xd7f752bf,
+    0x11c89c49, 0x0c01ed0c, 0xbdb2726b, 0xa1433bbb, 0x6a2f1016, 0x8315fb6e, 0x92df4152, 0x15655d6d,
+    0xf03d5fdb, 0xe1b23bea, 0x22e8e168, 0xf40a992a, 0xa1355d5d, 0x8eb499b2, 0x1e9b4998, 0x360b03cb,
+    0x475636d2, 0x8b88fda5, 0x7d88be62, 0x72b955e4, 0x2b72b0ab, 0x47e705cc, 0xa1192bb8, 0x9cb80588,
+    0x5def75d2, 0x65b75f11, 0x0a3e2d89, 0x346fd66e, 0x231eb374, 0xb4ea2cb4, 0xcbfc0d52, 0x78fe0887,
+    0x501f5b73, 0x21f88432, 0x782567aa, 0xa4f185a0, 0xb5f999ec, 0x9fdf10bb, 0xd3eaf063, 0xd924ad2b,
+    0x9e6cacc0, 0xa75cecd5, 0x29a6e765, 0xfab712b2, 0x1ae376db, 0x0f3571a6, 0xdefb842d, 0xcc08527f,
+    0xb5c59ad6, 0x6ed5b1f5, 0x9beb3dd6, 0xeab9cc2b, 0x0ff0fd57, 0x9c83ebc6, 0xae5b8fa8, 0x61323934,
+    0x9b037db6, 0xd536651e, 0xaaaad28a, 0xbc64869b, 0x75d6ba5e, 0x76114f99, 0xbb0d2d37, 0x582438d3,
+    0x44e139c8, 0x224a2bde, 0x4656853b, 0xafe74dc6, 0x496f9e20, 0x225960f2, 0xff86f344, 0x7d752e1b,
+    0x323fa94c, 0xbe88ac0d, 0x8b1dd8f5, 0x4bb1f954, 0x2d6d77e9, 0x0c1e9dce, 0xd034368c, 0x4070fbb5,
+    0xb7c2ac94, 0x8f5d4894, 0xbc29253f, 0x02147a04, 0x29ee51d1, 0x844c0af2, 0xd7b601ec, 0x3b076098,
+    0x014d7753, 0x350024fa, 0x765fb7ca, 0x167d847a, 0xe3a73e1c, 0xffcae2f4, 0x2e54b141, 0x800c65e0,
+    0x81f0f714, 0x518dd587, 0xed72a88d, 0x0c83529f, 0xeaf7e557, 0x5a916a2a, 0xbfd9e82b, 0xa7bc0422,
+    0xbfd1eb69, 0xb1568bac, 0x61e12399, 0x9cd9aa73, 0x8ee50eb4, 0x74008b48, 0xd2898622, 0x18e711e9,
+    0x66c4934f, 0x564160aa, 0x55280a36, 0xc44e30de, 0x3c989630, 0x20254cca, 0x79942cd0, 0xcab3101e,
+    0x7e039d5f, 0x86edcf32, 0xe85c61e8, 0x2636078a, 0x09f6521c, 0x81a02a8b, 0x77008cbf, 0x0aa44a70,
+    0x59ee541b, 0x00de00f7, 0xce748a95, 0x69739441, 0xd2b0876e, 0xca955f46, 0x01ee5dc7, 0x14512d83,
+    0xd14dc740, 0x8bad9095, 0x6a65383b, 0x481f0e46, 0xae43a07d, 0x64bca995, 0xf6a2f311, 0xf3dfd8c5,
+    0x1a0751b0, 0x854d37c9, 0xe07d9883, 0x20c783c3, 0xc69c14ad, 0x563ad1cb, 0xd87fbc30, 0x3dd9f7a6,
+    0x7fd2ef7d, 0x72128c18, 0x29114a67, 0xe1f468e8, 0x906bcd1c, 0xb2e67d3b, 0x8fa1500f, 0x8788c30d,
+    0x0b893c21, 0x7bfb77bc, 0x6e526042, 0x1c6df877, 0x5a5d886b, 0x76d0b7cf, 0x27826035, 0xf4cde0df,
+    0x261ce051, 0x648409b5, 0xe31b6391, 0x9f266b6e, 0xb3c4d0fa, 0xa7f86203, 0xaa0bb7ff, 0x957cdd9b,
+    0x406b1104, 0x43985b73, 0xe8f36cb0, 0x903a5cf9, 0xb8d4fb15, 0xdd2d8279, 0x9d46b473, 0x26df60c4,
+    0x78e522eb, 0x10a27fed, 0xe0790a41, 0x3937000a, 0x54d72b7a, 0xd18dc111, 0xdc3e4a23, 0x2816b2b5,
+    0x81f6e0b5, 0xfcc1cd09, 0xc4992758, 0x93347cb0, 0xc382aa59, 0xf77bbd5a, 0x09fdc11d, 0xdc25b1ef,
+    0x86484592, 0x90709531, 0x8e41672c, 0xf3ed90c1, 0x0bd1707f, 0xa554ff21, 0x4ef566d6, 0x06d984eb,
+    0x5c4d768f, 0x26fde440, 0x83bfd759, 0xdcd717ab, 0x7aef1533, 0x9da39df6, 0x034c152f, 0x789847c4,
+    0x8f69f322, 0x1891226c, 0x61258d72, 0xb4059229, 0x814c9798, 0xb50e89ba, 0xd9dafcb5, 0xf724e7f3,
+    0x23236a25, 0x62c52094, 0x75db0ed7, 0x5748a764, 0x883facf1, 0xf091a2b4, 0x48789985, 0x1f0ec179,
+    0xfd806c0e, 0x41c2a4e6, 0xb2132891, 0xf1b8f131, 0x071ef4e9, 0xb93775dc, 0x7490d924, 0xf0431c6c,
+    0x2685de64, 0xa3abc2dd, 0xc09fe68a, 0x8cc04012, 0xe305de18, 0x495eb0b4, 0x9bdaef5c, 0xb734ed50,
+    0x3fbbdfcb, 0xafde196d, 0xa146a11b, 0x5cce31e1, 0xed562a37, 0x2781e5ef, 0x528a9fb7, 0xf4e6686e,
+    0x9b3bde36, 0x61e2de9e, 0x3487b613, 0xd2113b3e, 0x9ee74a9f, 0x99172fb6, 0x27975d24, 0xb7f17f08,
+    0x00000000,
+    0x5f55b1d5, 0x8f9d1f12, 0x87ef4eea, 0xc2ce8332, 0x56404173, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6,
+    0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000751533626487626632924633790972587\
+                         84876021841565066235862633311089030688803667470190838367948312598497021919232 */
+  { 0x00000000,
+    0xcd7bb551, 0x1e98365c, 0xe04e4624, 0xa1740d52, 0x1c467146, 0x838b66c6, 0x6cfcb5b4, 0x5c8bea7d,
+    0x23b877a9, 0x09c043f5, 0x86bfa3cf, 0xed29b4a2, 0xc50fbe5c, 0x104432a0, 0xf1af1dab, 0x63d9f065,
+    0x0140d9fd, 0xbdf8d614, 0x23f6819a, 0x16883cba, 0x79c7bce4, 0xaefa805a, 0xc6b90b14, 0x9440da2d,
+    0x97c8f1ef, 0xc2d5998e, 0xc741c507, 0xf66ede27, 0x48e80062, 0x471e37f9, 0x8417cb61, 0x6f090e0f,
+    0x24cb33c0, 0xbeaf37ed, 0x0c3f6415, 0xbd945254, 0xadef7e80, 0x94de54c3, 0xa35dc9f7, 0x8ab6191e,
+    0x4b2d76d1, 0x128642c2, 0x037ee802, 0x055ac072, 0xcad93a71, 0x93f2a601, 0xabce5a64, 0x259eee82,
+    0x2c7dbd6d, 0xafab869e, 0x77725a80, 0xdfc5d1c0, 0x08a793d2, 0x21370397, 0xf9ccefee, 0x24767c5a,
+    0x3d79fd18, 0x86e62501, 0x5903a018, 0x24d134dd, 0xfb79115a, 0x2f70b456, 0xeda2e374, 0x93a595e2,
+    0x321f3d07, 0xc01d9730, 0x827ec301, 0x7e1682b0, 0xaaf02347, 0x61a863a4, 0x5e2e6865, 0x93ce27d7,
+    0xff4c9e70, 0x31599d96, 0x290cf755, 0x0a7cdce0, 0x7f7f52b7, 0x0aad88e0, 0xe9e9efe3, 0x2703c32c,
+    0x25b36751, 0x0f720b53, 0x03946abd, 0x7e7304af, 0x854bfa48, 0x16b49626, 0xd8d7f807, 0x0e20f0c7,
+    0x5f7cc076, 0xf8af8dad, 0x38e0caed, 0xb9f38821, 0x76f0f582, 0x361d0b85, 0x82ff7e9a, 0x7511059d,
+    0xd1235bea, 0xf0d37275, 0xdd27d8a1, 0xbf4859a0, 0x34bcec57, 0xae4f44e1, 0x9888f34d, 0xe0908fb5,
+    0x009f4852, 0x2d744584, 0xef316eb1, 0x94fef14d, 0xb76d2957, 0x7b6cbace, 0xd08267d1, 0x2c9235f8,
+    0xe52fb4ca, 0x33342fe6, 0x2795477c, 0xd29cc55c, 0x5661a80d, 0xd5f68377, 0x43ddce17, 0x276c368f,
+    0xc003843a, 0x546d2326, 0x41b583bd, 0xf5aa9f38, 0x3049c1ad, 0x5983ee8f, 0x28b6dff8, 0x9eef24ea,
+    0x95ba3e09, 0x96dff77e, 0xc52959a4, 0xf5e419b4, 0xbccc9cec, 0x8bfa6916, 0xc281fdc8, 0x7b69efbb,
+    0x709f3e04, 0x36c27902, 0x9e31f4bc, 0x8f1c7ab9, 0x7ee2599f, 0x0346119e, 0xf1f4e80a, 0x0e82e588,
+    0xaec98307, 0xfd08b9cc, 0x603e8c65, 0xb6cfdd99, 0x1dabb43c, 0x96e0c7aa, 0xc9a92249, 0x5fa496a5,
+    0x7c497646, 0x46d5629e, 0xd425114f, 0x670322eb, 0x5537d7cb, 0x9bbc0ce5, 0xad63c1aa, 0x4e47496a,
+    0xfc46c27c, 0x8459136f, 0x6a8bf46f, 0xf7b932f2, 0x0da33575, 0x80f1f721, 0x5bf7aab4, 0x564b07b6,
+    0x77d47a4d, 0x9760e384, 0x041d1449, 0x251cbe04, 0x5b8fd54e, 0x3b6c5cc3, 0xe3b44bba, 0xb4f4aaaf,
+    0x9ac064c1, 0x499a61fe, 0x8ddffa78, 0x4c560339, 0xd61c939c, 0x1f86059f, 0xa842fd87, 0x9c0de642,
+    0xfe091ef0, 0xe867643f, 0xbb9450a5, 0x31df043d, 0x5fac3fe0, 0xb47044ff, 0xc7ecb357, 0x6316ca49,
+    0xd2c25900, 0xdd4a5bd2, 0xf197210f, 0xfabe9257, 0x9d78d201, 0x6fe7b7b0, 0x0561e2a1, 0xb4851bbf,
+    0x5a7eb76b, 0xa32eaf0f, 0x80c4fea2, 0x26dc485a, 0x43ee24f9, 0xd708bcb2, 0x210c25c5, 0xfff1e4ca,
+    0x3724d5b1, 0x29cd12c1, 0xc354b05a, 0x01346f60, 0xe835d2c6, 0x8eda40e4, 0xf9117c3c, 0x7753dd7a,
+    0x90cde082, 0x7b8d2940, 0x23ef9442, 0x7dd75b38, 0x0400a808, 0x6a2edc22, 0xec57609c, 0x21fd218f,
+    0x756f0339, 0x5951fe94, 0x2537943e, 0x18c93878, 0x7f4c4341, 0x7a88f738, 0x9e2fa02f, 0xf79b8fc8,
+    0x0f124969, 0x5b252b6f, 0xd419cfe4, 0x1688f4b7, 0x6822d1b6, 0x96f5ed18, 0x1f7f9868, 0x51db2e64,
+    0x3138926e, 0xfddbdbc0, 0x96cbc3b6, 0xa34fe33d, 0x8df77bd5, 0x696ac401, 0x166413a0, 0x53360fb2,
+    0x92820640, 0x7ae53df1, 0x65f3562a, 0xb9b72334, 0x954fa88a, 0xb3d8d56f, 0xca7b4038, 0x52275c8f,
+    0x0e15bf0f, 0x8ebbeb62, 0xcbd20917, 0xcee55670, 0xaddb22d1, 0x9a5eb806, 0x75083df2, 0xb2e2d6d3,
+    0x45bbb596, 0x511da6c6, 0x54670ee7, 0xb8b542fc, 0xf066f675, 0xd0b5b554, 0xfecda22f, 0x9075197c,
+    0x0717d6ef, 0xb8c3ae63, 0x49481996, 0x33bde653, 0xd6fa47e4, 0xcaa21ee2, 0x0780d383, 0x12b05303,
+    0x81e2fd51, 0x331f7ac3, 0x330f128f, 0x61786d0e, 0xb8070047, 0x5f0e6044, 0xffb1c422, 0xc98b0bdd,
+    0x5ba13290, 0xe2b7c8e5, 0x5846772e, 0x6beb1030, 0xedff0478, 0x4ac2f207, 0x642807e7, 0xe565e235,
+    0xb6219cc3, 0x52cb7108, 0xe33f0dca, 0xf5833772, 0x910038ae, 0x15f5c209, 0xde083357, 0xd44082c3,
+    0x438a8b70, 0xf88887be, 0xbc58ebec, 0x623edd63, 0x83839991, 0x4171dc72, 0xda799a4b, 0x9953229c,
+    0x79db0009, 0x281e7189, 0xf71b1744, 0xac62e874, 0xc943e64a, 0xa9b160d0, 0xe3cba38f, 0x5d77a001,
+    0x022680ef, 0x860c03f0, 0xcce278dd, 0x8c04d653, 0x31c54e76, 0xd02dc13e, 0x16fcdf7b, 0xae0ac6c2,
+    0x10592b0f, 0x377abf17, 0x08f9b86a, 0x575dc752, 0x6dbda2cb, 0x9648d23e, 0x389de5a0, 0x23747446,
+    0x4db8cf81, 0x2191f9b7, 0x7e4e617e, 0x5cd240fa, 0x353e0041, 0xb70c5677, 0x7468acdc, 0x35dceab4,
+    0xa86131d8, 0x6988119e, 0x191971ce, 0x2bebe9b1, 0xc51fd398, 0x45b35123, 0xdd778e96, 0xd6d35a1e,
+    0x49ece394, 0x2b381e3f, 0xe3c02789, 0xaf9564db, 0xd2ae393a, 0xb25fb13a, 0xcf792414, 0x724bfb8b,
+    0x60f49c35, 0x0fb9c673, 0x570ca2b5, 0x52bee1f7, 0xd42bde2f, 0xd591db11, 0x67c69e69, 0xd28e6e75,
+    0x0939171c, 0xcb690b10, 0x2ef9d01d, 0x5db27d7b, 0x9193dc56, 0x19ecdc0b, 0xfb8f5577, 0x42bd59da,
+    0x5818430c, 0xfdb3e48e, 0x8373e3f2, 0xb829cba5, 0x536857bf, 0x49b300d1, 0xe312569b, 0xa61536d8,
+    0xb9f43d02, 0x0ec90ab5, 0xa048067e, 0x0924ee90, 0x7ce08bdc, 0x6960ae8b, 0xed6ffde8, 0x94c24d2d,
+    0xf87d5e83, 0x1920bae0, 0x18c763a1, 0x27954dba, 0x98c4c04b, 0xe20d5ad4, 0x8bfefaa3, 0xf502ecdb,
+    0x08fa5285, 0xca7749ff, 0xabee35f4, 0xac4f3da0, 0x9c62af44, 0x76b08740, 0xd4ed5047, 0x26238058,
+    0x936737e4, 0x106ce7cc, 0xcb4fe615, 0x984ee745, 0x29ee2107, 0x0bf86378, 0x85fb8eee, 0x25932bdc,
+    0xd72ad9a8, 0xa58b4067, 0xc35409f6, 0x9485d752, 0xd484d82c, 0x87828894, 0x28121ae5, 0x84e36c09,
+    0xdbcbdb93, 0xac4175bb, 0xfa678f89, 0x18bfb8b5, 0x5e5875c6, 0xd88c445e, 0x4da70b88, 0x3776746b,
+    0xda4dfb8e, 0x9b6959b2, 0x10be6062, 0x4af87a59, 0x9d89d357, 0xe23231cb, 0x457a066b, 0xb749e242,
+    0x3d104f6f, 0x20ea187c, 0x7e5f152c, 0x55e9b22e, 0xdfb75a28, 0x7b7a1036, 0x21715abf, 0xf9d43dbc,
+    0xc0c08cba, 0x2d6f3f78, 0x50dc6d73, 0x2d2a9d28, 0x267b80a4, 0x2e39e564, 0xf4eaf9a1, 0xe38d9a37,
+    0x7cad32c4, 0xb52453d8, 0x8dc83e77, 0x4fe952fc, 0x58df1edd, 0x718aa7a9, 0x399e7ee5, 0xf89c012a,
+    0xa860c28a, 0xf0789cb5, 0x4538b4ed, 0x0966f67f, 0x94f68c75, 0xf2975d0e, 0xc3960ba6, 0xd579eccf,
+    0x8cbdf9bc, 0xdb1bae1a, 0xa99412bc, 0x5793c18a, 0xba9d7658, 0x063ec9f5, 0x6538cf2b, 0xa5fdb6a0,
+    0xd2a95ef3, 0xce10beba, 0xe5c3e3c6, 0x786166fe, 0xb9bda614, 0x060f25a6, 0xb2a4c18a, 0x7399c669,
+    0x2243dcb1, 0x8d264546, 0xca295233, 0x1ab8d20b, 0xc7ac9143, 0x61e27588, 0xfc21b82c, 0xd42f4b0e,
+    0xde0a6cc4, 0x97248549, 0xd9318761, 0xac03153b, 0x3802e152, 0x540b5503, 0x4daa29a0, 0x6bc8235f,
+    0x94ac9799, 0xe0bd0af3, 0xf5177640, 0x1025eee7, 0x8e3b9298, 0xa17d3349, 0x8f4f8860, 0xf4ef88ab,
+    0x05424e5e, 0x91a173ec, 0xfc4054d6, 0x7471ef97, 0xf74db607, 0x7199b517, 0xbe9772e1, 0x28d1d164,
+    0xa36c8b96, 0xee7d1aab, 0x6e814714, 0xf04cd932, 0x52ba26a5, 0x16934d01, 0xdbb605fd, 0xa098ac12,
+    0xb9cb851d, 0xde114734, 0xf0115f9e, 0x48ebf801, 0xc27a1608, 0x113698e5, 0x30e0847b, 0x80215081,
+    0xc0dbb5a5, 0x87a5c8e4, 0x5d1178ab, 0x1e653c8c, 0xa6898b2a, 0x1d25a7e9, 0x9b40b855, 0x3ffd3ece,
+    0x31230efe, 0xeec5a1ec, 0x5d97f77e, 0xeee119a6, 0x374e8c5e, 0xb8da67f2, 0xaadeb391, 0x559dd58d,
+    0x1ff9b186, 0xad95d455, 0x613d0c0f, 0xc983b828, 0xa954cf9b, 0xfed0f174, 0x87a25374, 0x1a61a13c,
+    0x849d0321, 0x855cefcc, 0x88fdc3bf, 0x6bdb1801, 0x0ecdd8d4, 0x1b1760ec, 0xb62ec65c, 0xaa551494,
+    0xe065175e, 0xc236b8ca, 0xaa646259, 0xae1d2e96, 0xe6cea6bd, 0xbc3583c2, 0x6b959c68, 0x8fddd5c5,
+    0x7d7f2a88, 0x15261e1c, 0x59a44ef3, 0x7c77e4b3, 0xde5854cc, 0x6926b111, 0x003bc11e, 0xfce905e1,
+    0x3dccb280, 0x144cd4ca, 0x0399a75b, 0x7f34b151, 0x6887de6d, 0x60788af9, 0x98da0c5e, 0x30b0612a,
+    0x605dc261, 0x4de25549, 0x7b3091ab, 0x7862c803, 0x37a31734, 0x266d46ab, 0x4ff52a1d, 0xb921a152,
+    0xac5fb87d, 0x278be1c0, 0x34b1eb71, 0xa9ab6dd7, 0x9530a80d, 0xe0cd370c, 0x41633b13, 0x2cbd42c4,
+    0xa629b885, 0x11307392, 0xaf70feb4, 0x4cbcd0a7, 0x9f67a5db, 0xc3eb6f2a, 0x29bdb7d5, 0x9d2c7ac3,
+    0x1766e43c, 0x1278245b, 0xa2c4ce55, 0x76f3d1ef, 0x67d7b326, 0xc8c8da1a, 0x3e743359, 0xbed5f1ca,
+    0xa54aff07, 0x2f649a54, 0x15ee66d4, 0x6e825f95, 0x6c212bea, 0xd86e2f92, 0xbaef20ae, 0x3fe3c693,
+    0x0c326747, 0xad55187f, 0x32e4478a, 0x31a25b38, 0x6100184e, 0x4350370e, 0x3e2934f4, 0x8936bd07,
+    0x64611425, 0x14b3b02c, 0xb848e3c2, 0x68cd5232, 0x71d4e262, 0x01cb72cb, 0xa16821a5, 0x170a3ba3,
+    0xde2c7916, 0x8c24093c, 0x1f69827d, 0xc5b97a2f, 0x224b61d7, 0x05fa4273, 0x1414b3e1, 0xf3456b4e,
+    0xf34a2e63, 0xe7dd0594, 0xb39c4e71, 0x1f5c9da8, 0xe3eea643, 0x052a680c, 0x3f599b97, 0xece8cf6b,
+    0xefdf98b2, 0xe9dc1119, 0xaba8faad, 0x2474962b, 0x8aed0889, 0xa384ddd8, 0x759ecce2, 0x5874412d,
+    0x58524e07, 0x46a36c46, 0x52a410e1, 0x7fe1e538, 0xf800d189, 0xcc6e4808, 0x53bfb099, 0x2a153d5f,
+    0x09194dac, 0xca7bfa2a, 0xd44b1091, 0xc6ca1ad3, 0xc0b56113, 0x5ab19817, 0xaa6093df, 0x591a9fc3,
+    0xb6468f7e, 0x3df52b24, 0x29caa61c, 0x6e823cfb, 0x532decf1, 0x8fc18d93, 0xb847b0a0, 0xbf692a32,
+    0xa8e35ecd, 0x5192058a, 0x0c445749, 0x3ebe2d32, 0x3c88cda2, 0xd095ed1c, 0x0e4824af, 0xcbb90e4e,
+    0x0abfd592, 0xe107b108, 0x702834a1, 0x8eafe29d, 0xaea73dc0, 0x54d10ce7, 0xf1662fd8, 0xb1cff49d,
+    0xbd073323, 0x00bf691f, 0xedc1fe19, 0xc54d8d6e, 0x8372f270, 0xf8e4edb3, 0x61c38e4f, 0xb26aa7c8,
+    0x96247506, 0x93e369a3, 0xf5082ed8, 0xff25253f, 0x18e89064, 0x8035b460, 0x4b10206d, 0x438a5693,
+    0x513af8e1, 0x7c10ec1b, 0xeb8fbe82, 0xafc92eda, 0x909aa9bf, 0x4069a96c, 0x1a9c57c8, 0x69877a1f,
+    0xd0ef050e, 0xf7ee1f7d, 0xc6d645dd, 0x667cdfa3, 0x4d4e93d8, 0xe6a87f6d, 0x803d24e7, 0x3c91f9d0,
+    0xadbde72e, 0x3ac9b69f, 0xd19bc959, 0xebdcfb8b, 0x0fcab401, 0x01725a34, 0xd3c179c3, 0xc549b784,
+    0x3ba5ae81, 0xa53b31bd, 0xf431251b, 0x57e3e298, 0xa103033e, 0x7414ae1d, 0xa7e284f9, 0x20b4e846,
+    0xc61ca1b3, 0xc8ba73f8, 0xa786a866, 0x9d867179, 0x39fc3dd6, 0x5475d5cb, 0xaf99bfd2, 0x72c96521,
+    0xe3a7e368, 0xb2d26187, 0x00776369, 0xda649055, 0x84e8703f, 0x195add8b, 0x4a3d8302, 0x9cfca791,
+    0xab944be8, 0x7be20c43, 0x9de83172, 0x93d2b02a, 0x7cc530f9, 0xe16350d0, 0xd265d55c, 0x9221c9ed,
+    0xa3aff282, 0xa3fb285e, 0xfdb0b0d9, 0xdff68b8f, 0x5624585d, 0x8c6aaf65, 0x73d4c7e6, 0xcb894f73,
+    0x015fca1f, 0x88e1ddb5, 0x48387ef3, 0xd9d6b71b, 0x4eb54b66, 0x72026410, 0x197a7a74, 0x862aadd4,
+    0xbd15ab7a, 0xd16b6962, 0x0e3e61cf, 0x4db2e721, 0x21fb39af, 0xdd2f53db, 0xa9a578ca, 0x2acf0c4f,
+    0xc8446080, 0x06666ffb, 0x2b2f44d3, 0x288f92aa, 0x22b8e6c1, 0x34509448, 0xcb2a24f6, 0x76e248f7,
+    0xcb9e9da0, 0xb7592bb0, 0xf4492b4e, 0xc52066e5, 0x4e67073f, 0xef406e7e, 0x1e28b033, 0xd2786125,
+    0xae951380, 0xac852664, 0x5ce394de, 0xe9c17f9f, 0x79989bc1, 0x7d7fb663, 0x9c49b3f6, 0x3d8f0ae9,
+    0x27c3d8c2, 0x999930fc, 0xa5e3a0cb, 0x59cbb3e4, 0x32ce796f, 0x35098fcf, 0xd79f8cd8, 0x055309b0,
+    0xc9738df5, 0x4826154f, 0x88a87d5e, 0xc0811cb1, 0x7763c578, 0x1f36658a, 0x946a3d87, 0x032c2a43,
+    0x46cffbb9, 0x9d14b7b2, 0x5c224388, 0x95c6d88e, 0x3381e757, 0x0aed88d5, 0xa988b214, 0xe9700012,
+    0xbc9cb56d, 0x29382c14, 0x6814d79e, 0x9f6da759, 0xf4b01b27, 0x644cb859, 0x754cfd0f, 0xd3340b2e,
+    0x8d5438a8, 0x552ece09, 0xfb8fba8f, 0xe426a811, 0x0d5961aa, 0x3549a173, 0x12eb27e8, 0x1cc388d3,
+    0xff7f53d7, 0xedd2dbea, 0xcb1f24a5, 0x0a0cd793, 0xe5fd04fe, 0x5ae940d2, 0x9622d27c, 0x42b4c75b,
+    0x9d15c518, 0x7e164564, 0x209975b4, 0x78d35473, 0x5486a5b8, 0x5da4b339, 0xba9835ca, 0xbd8f6f50,
+    0xca3af593, 0x8c145dfe, 0xa831d26d, 0x6a6a1edf, 0x8252a3d3, 0x5ef4dd45, 0x1ef23191, 0xd4ec11fa,
+    0x5dc299be, 0x755c3aae, 0xd542d074, 0xd200d7f0, 0x6256fb9e, 0x9acd8b62, 0x1c78bb46, 0x1c463f01,
+    0xff564bf0, 0x0bd83c28, 0x4e580b17, 0x05d98108, 0x80051bee, 0x40abd284, 0x16d19c01, 0xe05ef0ef,
+    0x090a2255, 0x3fa921e2, 0x03882084, 0xdc8ca854, 0xbc93965c, 0x7f04d819, 0x5d13c3a0, 0x12b5c9b5,
+    0x75f6466c, 0xde4961d8, 0xf75c4a03, 0xaa39180d, 0xd020b5e8, 0xbf758350, 0x838216f8, 0x7203028a,
+    0x3880458f, 0x44e22abc, 0x3b2a1ffe, 0x52e68c32, 0x5a4d3da8, 0xa73e2acb, 0x45a50862, 0x2e91e06f,
+    0x3daefc7a, 0xbe4a6f17, 0x74765a81, 0x1a228b96, 0x849b3682, 0x920f4571, 0xe4810102, 0x2ff4dd6d,
+    0x6743b36a, 0x2f55493d, 0xbfac141a, 0x21710123, 0x1264d571, 0x342db012, 0xaf74c4cb, 0x775ca2cf,
+    0xc26c9c0e, 0x37f52831, 0xe7dce781, 0x097a306b, 0xe4d26999, 0x7d9b5ade, 0x69db31cc, 0x4c2396e9,
+    0x0cf135c6, 0x85d4617a, 0xbd2ccb74, 0xf43e4726, 0xb9e0aa6c, 0xf3c0bbd0, 0x5c615da0, 0x475ab988,
+    0x71c73dbb, 0xe3db677d, 0x0b3ccbc5, 0x6efe3c96, 0x31f5af19, 0x4dccc261, 0x99ec3610, 0x15ce70a8,
+    0xce874fd9, 0x7eb83f8f, 0xa5412167, 0xbdd41910, 0xd0d04aee, 0x5f383d3a, 0x509cc306, 0x0fc7f422,
+    0xcfed04c5, 0x6884cad9, 0x5096ea94, 0xa7bc0a03, 0x6d9159af, 0x53de257b, 0xec92aa1c, 0xfd78fcbb,
+    0xa96d1783, 0xefe4b8a9, 0x2e66a86b, 0xf68672c6, 0x2e55f984, 0x1a9c0a2f, 0x7e77b488, 0xfcb9f7a2,
+    0x3f1f5c50, 0x1154ad60, 0x66840726, 0x0587982f, 0x179b891c, 0x341fa241, 0x0620afae, 0x99716723,
+    0x00000000,
+    0x2faad8ea, 0x47ce8f89, 0x43f7a775, 0xe1674199, 0xab2020b9, 0xeb53a46d, 0x157f8dec, 0xf6d3365b,
+    0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000375766813243813316462316895486293\
+                         92438010920782533117931316655544515344401833735095419183974156299248510959616 */
+  { 0x00000000,
+    0xb3ca4188, 0x4f7fc067, 0xdd49a7aa, 0xaab2de87, 0x409bf654, 0xba936480, 0x762d20f0, 0xa763ee6c,
+    0x101fca86, 0x855733f2, 0x6044213f, 0xee86b82e, 0xa94988f4, 0x9901da04, 0x7b7c3e1b, 0x21a84256,
+    0x5aea0f8e, 0xd39fe580, 0xb8c50841, 0xd51f1977, 0xe7d60346, 0xd11e7bbc, 0x724fee78, 0x9f49630f,
+    0xf60527f1, 0xbcb551f4, 0x2cb340e4, 0x64e8709b, 0x43273765, 0x660c4b0d, 0x96c9e6b5, 0xae071ec5,
+    0x3d170208, 0x975e13f8, 0xf3e56de0, 0xa9dc9e79, 0x75d534fa, 0xf312b653, 0xf5a9cf64, 0x427c1abf,
+    0x07124fc4, 0x9ccc2af2, 0xc83430de, 0xf0679d41, 0x0345cfa5, 0x896cd545, 0xb3a39a5a, 0xb6304dbc,
+    0x6102a51c, 0x7e770362, 0x66f05be7, 0xf344b4ee, 0xc9cdd154, 0xc082e1cd, 0xa239bd1e, 0x18a12da2,
+    0x08bf6de3, 0x286450b9, 0xa46d973a, 0x957306eb, 0xc881ea4c, 0xff248056, 0xca12f9f2, 0x6218fde9,
+    0x32b29f64, 0xb11b88b1, 0x48a7f06c, 0x4bedce68, 0x904076ca, 0x21407d69, 0xca188b5a, 0xf1c70601,
+    0xc7db51b1, 0x6283383d, 0x6bd503e4, 0x29e22d93, 0x543804ea, 0xe24c2e14, 0x627e9bb0, 0x23fa994f,
+    0x02a6fb9e, 0xacc93177, 0x14572879, 0xdd45ee62, 0x03e169c8, 0x67d48e83, 0x353d5007, 0x86c26205,
+    0x7998e7e6, 0x86521c1a, 0x75ebf530, 0xae1d4b38, 0xce84fdb3, 0x75b998eb, 0x9b57a3e6, 0xee751c17,
+    0x4f6b23af, 0x1018b000, 0x104d03e4, 0x8ba371e0, 0x9b987329, 0x11344797, 0xdd6f95eb, 0xd3d1c8bf,
+    0x70dfe5f3, 0x82c04631, 0x6a7419d6, 0x2593a3f4, 0xd50b28fb, 0x889b37d3, 0x2402991a, 0x2fa78330,
+    0x1bfdc2d5, 0x4edbeb9f, 0x8795261b, 0xb53b93e7, 0x10a83820, 0x84c7f078, 0x9e40d85e, 0x05b46694,
+    0xf1d53ecb, 0xefa0ac29, 0x59b2be32, 0x4ea06a2f, 0x0b3cea85, 0x50d35e27, 0x7d0485bc, 0x71fc0378,
+    0xcb9b9b55, 0x87c73927, 0x50471827, 0xdb1126ea, 0xab7e5447, 0x5149662d, 0x9e163433, 0xa2930c8a,
+    0x2f3b30a2, 0xe8594fa4, 0xb7d1026d, 0x2948169a, 0x6d3b39c7, 0x0d2be026, 0x7d74a243, 0x6107f8dc,
+    0x9ed9d3b2, 0xe19634bc, 0xaf98d438, 0xb92c8732, 0xb7e0a539, 0x8045dc86, 0x1464f093, 0x2ce40f78,
+    0xa02e27bd, 0xf7208bba, 0x54c8e5b0, 0x26d4c756, 0xbf3bdc3f, 0xbb59c211, 0x7059b0cd, 0x7be4a8af,
+    0x785fc569, 0xa456bae5, 0x12a7dacf, 0x0563acd0, 0xabc2630f, 0xb36fbd1c, 0xed8803bc, 0x54367ea1,
+    0xfad09837, 0xf9cd2cc1, 0xab31d0e8, 0x07525e07, 0x84c545aa, 0x6b451558, 0xb7b969b8, 0x767509d0,
+    0xade60995, 0xf90b8de7, 0x0b3e0793, 0x452afda6, 0x87250882, 0x8e2f05f3, 0xe4e60616, 0x873a6204,
+    0xf35f4567, 0x2e1a13a8, 0xce022513, 0x08923afb, 0x7a2dd7e3, 0xb37ad373, 0x3970702f, 0xfa9dbedb,
+    0x62e4d521, 0x52274967, 0x054f9651, 0x539cc2db, 0xe8bc3cb5, 0x15371e94, 0x5cc0bdcc, 0x098dfaa7,
+    0xfa798d3f, 0x90f89ff6, 0x06cb5b15, 0xf6079a2a, 0x8d4fc590, 0x6cc54662, 0x444aef0c, 0x02b84d50,
+    0x6426e898, 0x141d6a86, 0xe602617e, 0xf9d46b6e, 0x8f31e190, 0xfe6873f0, 0xc5ebcd1f, 0xa0916d4a,
+    0x32809f4e, 0x49d04094, 0x47ca5951, 0xf333885c, 0x382dc6b9, 0xb9e4b5de, 0x55139b95, 0x15659763,
+    0x0515191b, 0x976e9d5c, 0x424c9911, 0xae601689, 0xd773cb51, 0xf6aa88f7, 0xea0cce64, 0x1146d855,
+    0x4cbfcb54, 0x74e9560a, 0xfc35dd9f, 0x806ddeb3, 0x03649d24, 0xcb9ffa0a, 0xd51177fe, 0xa070cf6f,
+    0xf2005a18, 0x0c13c794, 0xd7b7cc7e, 0xcb5627c6, 0xd733d37b, 0xdb58af3d, 0x47359b35, 0x4bf5511f,
+    0xdd56e069, 0x3cf68583, 0xb084704d, 0xec56ada5, 0xf79e79a3, 0xec7dc5e2, 0x4389d2b2, 0x8129f94b,
+    0x53a15f7a, 0xc03bf98d, 0xaa5e6c02, 0xb0d3c24e, 0x6ad37982, 0xfaee6c3d, 0x5615acbc, 0xbdce3580,
+    0x509c6b5c, 0x4f8b7859, 0x45d8d7dc, 0xbdde61d0, 0xe0fef2bf, 0x5724e907, 0x5a8b9ded, 0xab8b3700,
+    0x16e9a01d, 0xbf0f7d1e, 0x7e5bed0d, 0x21a51be2, 0x82d5195c, 0x415d5c76, 0xf0b0828c, 0xf7db3460,
+    0xfeecb4cd, 0xd826bc11, 0x4a59f4bd, 0x05ac6679, 0x62139ffc, 0x1a1d0e2d, 0x0269a0df, 0x1434c031,
+    0x9ada537b, 0xde588f18, 0x8327a01d, 0x167eb7b6, 0x1ea7c9b1, 0xe404971f, 0xa1c2110a, 0x3faf4bb2,
+    0x585b688c, 0xcc0ac53e, 0x97213221, 0x5a5eb5a3, 0xca33c803, 0x9a7ac957, 0xa7f1767b, 0x7277b0f8,
+    0x8d1bf1e1, 0xf12505a5, 0xd39f175c, 0xa76bf96f, 0x14adbe35, 0x07934e01, 0xffda75d1, 0x1a32b98b,
+    0x9a0845d7, 0x965f40a6, 0x238f3661, 0xb2cee002, 0x0900f8ec, 0xdcb35cf8, 0xc2283539, 0x6279a820,
+    0xf1406146, 0x746167ea, 0x4711c24e, 0x738e954f, 0x879da326, 0x61194b7f, 0xba4fc910, 0x4c18ba96,
+    0xa833698c, 0x31f6dc4a, 0xd9480452, 0xee37440a, 0x92813c5d, 0x1e3d5f80, 0x58661e28, 0xa66f8e0d,
+    0xa7b51270, 0x0ae11c57, 0xca5c621a, 0xccf257a9, 0x9ebced8f, 0x23061f62, 0x319fdfe2, 0xf1c59395,
+    0xb2c1312e, 0x904bf576, 0xeb17bd34, 0x45fe9736, 0xef122265, 0x6b09f201, 0x0463897b, 0x0433b315,
+    0xd170ba4b, 0x98e3612a, 0xe7262a9b, 0x1661080d, 0xb44f90f5, 0x1b1e84de, 0x616b0eba, 0x636578ce,
+    0x7b6aa75d, 0x50af28fd, 0x7f485e03, 0x679f99fc, 0xbd72b335, 0xd6baec5d, 0xc99bce4c, 0x501556e8,
+    0x6c19bcf0, 0x294b3b5b, 0xf8a63c4a, 0x9da4471c, 0x33722cef, 0x8baa9db0, 0xdd5b9e37, 0xfdfddd68,
+    0x75dd0530, 0xfb003e01, 0xcaca1987, 0x59055c27, 0x824e4d1d, 0xa8b3db57, 0x8f1ef76c, 0xe4718d7c,
+    0x4c03a934, 0xe86c52cf, 0x55dbc469, 0x7a9584f5, 0x3324603a, 0x177384d9, 0xc3f0cd6b, 0xe932316e,
+    0x1cb56e14, 0xc8e5069a, 0xed9270bf, 0x3de7bacc, 0x9dca0c2b, 0x51a0d3da, 0xb6523970, 0xfa019afc,
+    0x5241a9a5, 0xd1ecc68b, 0x9877385c, 0x0443b144, 0xbd6a687b, 0x24e768c9, 0x509942d6, 0xe0ec5124,
+    0x86b1c455, 0x40120867, 0x217a3fe7, 0x78796041, 0x94485842, 0x3587bd41, 0x9da91994, 0xd93bf054,
+    0xd155bc35, 0x2712f743, 0x5764255b, 0x890b3df2, 0xca15f49e, 0xdb412932, 0x001b7bf6, 0x37115e56,
+    0x87455f4e, 0xbe30fa19, 0x15cbf8c5, 0xdb919584, 0x9fe06ff4, 0xfff440a8, 0x6c847d6b, 0xeda2b19d,
+    0x0b4938a3, 0xca1c25fe, 0x76479cb8, 0xd47a6eae, 0x356a75a8, 0x1b5f8f03, 0xb8f6f9dd, 0x5fe1b555,
+    0xa9726fae, 0x10e60027, 0x89689adb, 0x6dca7a4b, 0xd0420d6c, 0x1e8e0816, 0xea144f80, 0xbb1641f9,
+    0x4cb3a626, 0x8da3e1df, 0xa932eab2, 0x0ede71a7, 0xcd8e0da9, 0x7c32c6fa, 0x7dfd64c3, 0x8509af99,
+    0x1098854c, 0x1ccc555c, 0xcacba3ab, 0x7f26300e, 0xd2ad593c, 0x6d73c3da, 0x29563340, 0xad52d506,
+    0xf0fd1603, 0x8258e570, 0xf37676d9, 0x362a7b14, 0xa70ee220, 0x6454897b, 0xbf5369ae, 0x5712c5bd,
+    0xb97247f2, 0xa3c86f07, 0x66797851, 0x06b94a60, 0xc7117fd0, 0x3b335337, 0xd45b0eeb, 0xa29fba3e,
+    0x9c3485b5, 0x7b6d2767, 0xd4258ef4, 0x6e9e8fce, 0xef20ae44, 0x3e70c3f1, 0x010324ad, 0x5ee92dc2,
+    0xad5cc8f4, 0xd6348ca9, 0x737937fd, 0xa005347c, 0x6d3f252e, 0xd261c245, 0x3c7d57f5, 0xbe612bfb,
+    0xd5436670, 0xb2093fbf, 0xe3bdf074, 0x6b3d44c2, 0xefeeab59, 0x05cd321c, 0x591a02fb, 0x5d59da75,
+    0xf4b0f0e9, 0x3883b2e9, 0xd0f1deca, 0xd13139f8, 0x4bdd33f2, 0xf322e5b8, 0xeeade8c6, 0xa12b5ad8,
+    0x6f47cf00, 0xdd564b80, 0x7c145264, 0x15bbee36, 0x8864f2e2, 0x13d678d2, 0x60bbd3c6, 0x1440e71b,
+    0xd278eacb, 0x51ec63e9, 0x1396583f, 0xeae05f7e, 0x0f52aab0, 0x25d109bd, 0xd7ff544e, 0xa1d9ba3f,
+    0x8ad2a1f5, 0x2ef16f96, 0x2f8d11f9, 0x23599497, 0xf2bde3b0, 0x9be2f954, 0xbdf1a469, 0x7d18f596,
+    0xb8a21799, 0x65e95d4c, 0xc7462c9d, 0x8231705e, 0x8d385da3, 0xbfb4c889, 0x6963fc7c, 0x6850d897,
+    0x5a4e8858, 0x503c6078, 0xc3a1c447, 0x608a6595, 0x17cd0a67, 0x07707933, 0xf6add67e, 0xeb36ba08,
+    0x3e2465f1, 0xe2196aa5, 0x95e5119e, 0xe3982792, 0xd817c396, 0xf363e8ec, 0x32cb97dd, 0xed608a4a,
+    0xe85e18ed, 0x695afae3, 0x62b81136, 0x9f3f4c55, 0xcffee2d1, 0x77c34acb, 0x9575f41b, 0x6b1285d5,
+    0x93fc9243, 0x9236c3c8, 0xccb09af2, 0xdcc95d62, 0x8b0b8cc6, 0x4d5ec2dd, 0xe523dfad, 0xd11717ec,
+    0x83f0fb99, 0xf04d955c, 0x5d164504, 0xaa642995, 0x5f8cd07e, 0x288e28c4, 0x64cde86f, 0xe786fd09,
+    0x1bdab8ef, 0x4b96730e, 0xb33bd12d, 0xbbda2be1, 0x99068862, 0x7fa3e3a3, 0x9f5b75fe, 0x54bed446,
+    0xf096449f, 0xa84b3952, 0xd71ad6df, 0x4f40ddca, 0x9e1542cf, 0x2efae9d7, 0x1f51b87b, 0x3a49e12f,
+    0x66f6b42c, 0xd42b6274, 0x33179045, 0xa3fb0280, 0xbedc6662, 0xb88a7537, 0x44fde9ae, 0x73a0206c,
+    0xd49270b6, 0x097a07b8, 0xbf35aebc, 0xc6d70974, 0x9c353089, 0xd4bc1b30, 0x75d05def, 0x557378c3,
+    0xf2518bba, 0x7670f505, 0x404c78e6, 0x7cdc6d6a, 0xf308a170, 0xf1f116d0, 0x5f9ff15e, 0xb89483f1,
+    0x98112c8f, 0xf3878f05, 0xbb2a9d25, 0xb931e106, 0x5062e283, 0x9ad8f0bb, 0x8932774d, 0x4639743b,
+    0x81dc7401, 0x09a597b8, 0x68002e7e, 0x5035d49d, 0xf26fd17b, 0x7b271b12, 0xace72f8c, 0x8612376d,
+    0x5c1f45de, 0x27ff433f, 0x72420cf3, 0x003422cc, 0x2e8abbfa, 0xe15dbddd, 0x9d7a8e06, 0x5fdfdcf8,
+    0x70a28d44, 0x678de9de, 0xe94ac38d, 0x17a5829d, 0x75547334, 0x58119846, 0x44140ec7, 0xf6debca1,
+    0xb777e5e1, 0x95ee1d27, 0x8b7f9a0f, 0xd96a1820, 0x7f573c8d, 0xc5118648, 0x9cc8fe77, 0x773bdf64,
+    0x7d04d8e6, 0x72bdf80b, 0xdce57e02, 0x49ff4f27, 0x12ec6e45, 0x554a68d3, 0x2438d663, 0x500c3e27,
+    0x5584a5a2, 0x35dd03a6, 0x4b8d3070, 0x44eefc65, 0x7a9ff39e, 0x593f84e9, 0xa30a93d2, 0x08a458d9,
+    0x5d08d2e6, 0x192a1546, 0xaa45718b, 0x37b0551b, 0xb19ed092, 0x7216575a, 0xf3d0fec6, 0xcee51138,
+    0x70a5557e, 0xb5b48f88, 0x9e3f8f35, 0x2767ef22, 0xdc3a4837, 0x1827b6e2, 0x9f72b015, 0x3ef6c367,
+    0x3a5d0c93, 0xed9cf5ec, 0x62414ce9, 0x60e00899, 0x421a1f9a, 0x742fe73d, 0x0dabc0b0, 0x5eb41198,
+    0x117cf334, 0x42905900, 0x24228fa6, 0x067b4da0, 0xddc343f4, 0x57921557, 0x9601b2cf, 0x4c259450,
+    0x193d6aaa, 0x2b0f5858, 0xd224683b, 0x51d978a4, 0x4a6b3507, 0x23bc6b90, 0xba3f41d7, 0x8e5b0d5b,
+    0xe64e257d, 0x10430b9a, 0xac055b8e, 0x5064ed44, 0x0c1f0ecf, 0x2a89052a, 0x1114dd18, 0xf06821b3,
+    0xb484840d, 0xc2c6c920, 0x51337e1a, 0xcf0d916b, 0x18d6db38, 0xe55202bc, 0x97078d15, 0x0f39b39e,
+    0x23642e5c, 0x154d0d6e, 0x55e09961, 0x9e7e667c, 0x00d58b37, 0xfa258682, 0x829455a0, 0x5ba90b0d,
+    0xe1750953, 0x9dd97468, 0x0026a9d5, 0xbf56c8d6, 0x7b1a6dac, 0xaaa3bf9e, 0xeed05fbb, 0xcc0dc67e,
+    0xb4cacfa9, 0x8520e9ab, 0xb472bd29, 0xfdcb70bc, 0x1aaa9431, 0x8162f27f, 0x015813c3, 0x7a74133c,
+    0x291da16b, 0x2c6b1c3f, 0x808d956a, 0xabcdb26d, 0x7b9063ab, 0xdf95fcf6, 0x7809a6ef, 0x22efd605,
+    0x9a3af19d, 0x07a7ea02, 0xc3906089, 0x300114d3, 0x308c6fbf, 0xfa0cec90, 0x7e42137b, 0x85a2b692,
+    0x6820f0d6, 0x76e57f82, 0x851be918, 0x65fbfc19, 0x0e71d126, 0xa804a3ec, 0x059fb157, 0x7de96566,
+    0xafeaf6d6, 0x5ec165d7, 0x5b5e5699, 0xe89a1ef9, 0x7c3d11b6, 0x27f0930f, 0xad86697f, 0x2c2e12ac,
+    0x9a45544f, 0x497baa94, 0x69b57cdd, 0x5beb469e, 0x198576e5, 0x1084b486, 0x8cccf1cd, 0x26668081,
+    0xd801fd1f, 0x1beb4c69, 0xbf9799c2, 0xe33559dc, 0xf04734ed, 0xa4a78030, 0x676a192b, 0x2088f00e,
+    0x95a8b493, 0x9176767e, 0x6231144f, 0x3b8a8ec7, 0x89cdcd03, 0xa56ec0ab, 0x3c65defb, 0x9370a2cd,
+    0x88f71dc4, 0x50bcd8e4, 0x599dfca4, 0xc87f3971, 0x28a962fd, 0x2c2bfbeb, 0xb9fe8ac3, 0x222aa781,
+    0x43516780, 0xd9533ce1, 0x31f3fec4, 0xe4edf597, 0x9727eec1, 0x1bd669bb, 0x50a4825f, 0xa32529eb,
+    0xc226a292, 0x4c785ddd, 0x650c2eb3, 0x048b35e2, 0x55470423, 0xae1bfe1a, 0xf1fe3bae, 0xfcbe8584,
+    0xaa0509e3, 0x6ec1938a, 0x697aa91a, 0x547ab303, 0x47cf2435, 0x75fb33c5, 0x2fe5c405, 0x0862a07b,
+    0x13cbd3a7, 0x06860ad4, 0x80f33fac, 0xcf885ff9, 0xa545ebe8, 0xb3ee191c, 0xb497b47d, 0x00088d55,
+    0x8ca32e35, 0x1b8f3341, 0xe94ff775, 0x5c2ae42f, 0xfb066c5e, 0x270c3686, 0x42fc1599, 0x37865d7c,
+    0x7aaa8406, 0x8f078971, 0x0052680e, 0xb7f46075, 0xb095ed08, 0x616e4ee6, 0x7f4c4a6e, 0x62b7f3b6,
+    0x06cf3a51, 0x12cbb8ed, 0x288cb8a0, 0xaf889194, 0x62f9587f, 0xd6758969, 0x0c8b3145, 0x9ae354f4,
+    0x075d8594, 0x52c4cc11, 0x074ccbb4, 0xa55f47c4, 0xf16b546e, 0xcdf7fc73, 0xb058b80d, 0x8955e94d,
+    0xe697e23b, 0xa1bdaf32, 0xc61a7e11, 0xf61f9165, 0x1ba2bf40, 0x0a034454, 0x87585e0a, 0x2dbb6ac2,
+    0x3480fefa, 0xe0c2f0af, 0x124880c2, 0x6e4df9a4, 0xd3baeb83, 0x081c5423, 0xc2ab36a4, 0x4ef78678,
+    0xe584a918, 0x6a9d1d61, 0xc687b821, 0xf44ae2d4, 0x2248680a, 0xd4f93f11, 0x6b8d852a, 0x95dc46c8,
+    0xe5ed0d0c, 0x4dee45a3, 0xe2166619, 0x58d00a57, 0xefc20156, 0xf4190a71, 0x77647e7e, 0xd1cab0f1,
+    0x47842a1e, 0x6271a8c0, 0x2533b407, 0xff55a4ff, 0x1dbf9e7f, 0x26a227dc, 0xc524391f, 0xb597a890,
+    0xde342086, 0x3ac3fa87, 0x3f408099, 0x21cc3987, 0x6e58e895, 0xe0bc55ee, 0xf3db1896, 0xb508ae22,
+    0xe966160d, 0xd470c0a7, 0xfa4c8ab9, 0x41c49cb8, 0xa3e8ae2c, 0xec7d369c, 0x5bca65c7, 0xe3b25fee,
+    0x2aac5ab8, 0x01c5046e, 0xac7376fe, 0xad55b725, 0xabc1d3b4, 0x1c0da86d, 0x2b5e962c, 0x124e41fd,
+    0xb4815f7d, 0xff59c2fb, 0x320c1f9a, 0xe972b6a7, 0xf2b91e3b, 0x2db472c4, 0xaae55177, 0x1944cd60,
+    0x06f17572, 0xea54a007, 0xa3cb4b26, 0x608179f7, 0xa67973ba, 0x3d8b2a71, 0xb8a77cc5, 0x14c9df15,
+    0x74c830b7, 0x44b89ab1, 0xb696c7fb, 0xd6ebbaa5, 0x3a74c0a7, 0xf3429f8d, 0x7b320bf8, 0x5a446d9f,
+    0xf9d03f94, 0x127d1a77, 0x32f7461e, 0x4fb6ea54, 0x31e711f7, 0x15bc5040, 0x638675b1, 0x00da78da,
+    0x6e2d9db4, 0xb07aeff0, 0xfabdd7ec, 0x212da722, 0xfdf23132, 0x5108ae00, 0xba22d02c, 0xa44b3d0d,
+    0x781b8cc2, 0x3aa90405, 0x75fce1ef, 0x53e8a6de, 0xb644a2ba, 0x148c36a1, 0x2532a159, 0xa1c156e1,
+    0x80acbe76, 0x8b224833, 0x4b77789d, 0x6383dd33, 0xcdf8d2e7, 0xb2e47280, 0x073ca7c8, 0xc6320378,
+    0x00000000,
+    0x97d56c74, 0xa3e747c4, 0xa1fbd3ba, 0xf0b3a0cc, 0xd590105c, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d,
+    0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000187883406621906658231158447743146\
+                         96219005460391266558965658327772257672200916867547709591987078149624255479808 */
+  { 0x00000000,
+    0x73e69db1, 0x4fccef64, 0x842e5347, 0xf227e958, 0x9d95ba2d, 0x01d38211, 0xaf88052e, 0x25e7a228,
+    0x39be88c1, 0xebf7be8b, 0x67b66c03, 0x92b4e35d, 0x7fe11f39, 0x443dc786, 0x07c07ab2, 0x9abe7fbf,
+    0x60bf92a6, 0xb042978b, 0x687aec36, 0x04fd75d1, 0x8533ae75, 0xc322e894, 0x2359db94, 0x42741100,
+    0x70de52cd, 0xff2a3913, 0xe2dd8b56, 0x439aadbb, 0x1bd78f1c, 0x19f5dd75, 0x7238f146, 0x192dabc4,
+    0x9c2c925b, 0xab7fd592, 0x1874cffd, 0x2e139d72, 0x856f11c6, 0x6fc1a262, 0xe506e045, 0xb541a24d,
+    0xf43e9426, 0xb2078677, 0x2fe1919a, 0x3667acb3, 0xaadcdcff, 0x8d7c2d0a, 0x139edc0c, 0x8bd0bee4,
+    0x4e3bd0a2, 0xabdf26c3, 0x2cacabf0, 0x82b6889e, 0x478a5d63, 0x15a2125b, 0xe41246a1, 0xd37f4c76,
+    0x8db61070, 0x565a992f, 0x10874a4c, 0xe665a559, 0x8cbb7448, 0xe7954fe9, 0x235adf2a, 0xbfa5bc60,
+    0x9ec0e5ff, 0x44377563, 0x834d1271, 0x66261818, 0x0a2ba7fb, 0x758ff196, 0x1d42642c, 0x3dab0c83,
+    0x486b0736, 0x81c51309, 0xc6ca633b, 0x9092f1ec, 0x52ac05b5, 0xd65a99f5, 0xe1fcd01e, 0x5dfce603,
+    0x2be5455d, 0xcdac0b35, 0x1d4c80e4, 0x703d0bf2, 0x0c501ac9, 0xad87eb77, 0x4a3efd4e, 0x20d9a8e4,
+    0x6de83dad, 0x77dbccb4, 0x85fed243, 0x01e2fe06, 0xfc4304fc, 0x7154ece7, 0x24b80be9, 0x1e826d35,
+    0x19b3cfbe, 0x2c1010b4, 0xd941b378, 0x7187c17c, 0x469066d1, 0x79ee0ac8, 0xb7b882a2, 0xec8bc652,
+    0x231c75ec, 0x625e3393, 0x3ccb8a78, 0x6b50394b, 0xb0a4bd43, 0x935a5841, 0x22b884ce, 0x384754ad,
+    0x1ee667cd, 0x462d3590, 0xd5c3fcd9, 0x14233510, 0x8fb7a644, 0x77dbfb21, 0x62809216, 0x7720b803,
+    0x68ebf3e8, 0x4b46173d, 0x13447f97, 0x59129fe5, 0xddd57c4f, 0x25d9e03b, 0xd744a38f, 0x3b5bbee0,
+    0x7eda282d, 0xf589bf63, 0x068bcc97, 0x8b5511ee, 0xc8ca351d, 0xd1369b49, 0x3e2ae655, 0xafd01a8a,
+    0x3c34ab95, 0x790d3e4f, 0x28013a08, 0x274ab032, 0x9a673b61, 0x2243818d, 0x92f25bc8, 0xf60067f3,
+    0xeb270b4d, 0x9a1a2c23, 0x66d6f18e, 0xeb489755, 0x2e5b21a9, 0xc2298c12, 0xbb651b0a, 0x9183fa9b,
+    0x8f9a8b6b, 0x400de9fa, 0xdcde635d, 0x8f4ba4d5, 0x4b5633fc, 0x0785e781, 0x1f19e94a, 0x7810fc36,
+    0x4cdb1749, 0xff003d9f, 0x75897f3b, 0x1c48717f, 0x67ba4e14, 0x392be1fe, 0x84999de1, 0x2aa8a9d7,
+    0xb5cba716, 0x046f9f9d, 0xcb6b5805, 0x86b406bb, 0x0b8cebc3, 0x2569142d, 0x954d7064, 0xdb3eaa12,
+    0xfaef147f, 0x54191d41, 0x04363790, 0xdf1b8f8f, 0x71fc0ec6, 0x5ef89594, 0x058a8eb0, 0xdd17c6ef,
+    0x6d562dd9, 0xea58d123, 0x586cbaf4, 0xdd1afae2, 0x66cdc5c6, 0xff6ce988, 0x25bca150, 0xb6d81508,
+    0x7ad0a9da, 0xd61f1da0, 0x467284c5, 0xb2d4a3b3, 0xd53b2aca, 0x3b8c3635, 0x6da74466, 0xf919acb4,
+    0x5328faa9, 0x3809b437, 0xbd3f40af, 0xe0d428d2, 0xff00fc22, 0xf28cd210, 0x80d5ab02, 0x55008cd0,
+    0xf0e118bf, 0xa8f20e6a, 0x6b3ef711, 0x2168a10d, 0x5aef8436, 0xb2986af9, 0x83b8dce8, 0x72aa7e36,
+    0xda197a81, 0x4e33a11f, 0xa1f9b88d, 0xbf9f5914, 0x3effe06d, 0x004bc4a5, 0xe2b6530a, 0xa2bf976b,
+    0x1dd13fe4, 0xb3a64c8f, 0x94ebc3f4, 0xd917c99b, 0xe6ab2898, 0x821197a2, 0x662c83f1, 0x5c579c38,
+    0x28d26698, 0x70bc1336, 0x1b79cb72, 0x1856b3d0, 0x138dcd01, 0xe759dc7b, 0xd9324509, 0x7e9e3476,
+    0xb2c25c23, 0x7850e97d, 0x20cf76df, 0x4d21e8e9, 0x00f7f53f, 0x360f79bf, 0xfe39a94a, 0xab33a953,
+    0x65a2727a, 0x68f29c07, 0xca623750, 0xe3a77e31, 0x70169f27, 0x9d8a3537, 0x9f30b7b1, 0x81797960,
+    0x0469a424, 0xb5d855bc, 0xaace976d, 0x36be3a90, 0x4630c321, 0x0e9640d0, 0x5a83d484, 0xd7f1e363,
+    0x20a5c576, 0x1b001e84, 0x4addcff2, 0x39049646, 0x37f21852, 0x8a2b4c81, 0xc2bfebba, 0xe811a1ca,
+    0x6a9647ac, 0xbee37d81, 0xda622b10, 0x9244a135, 0x1a50f4f5, 0x4ae74b4c, 0xa928bd08, 0x4db9ed52,
+    0x1b700919, 0x3a43151f, 0x965bb6ea, 0xb2353a72, 0xd9254ca0, 0xb242965d, 0x58aff061, 0xcb282508,
+    0xe2eed731, 0xcdf2efd8, 0x4e415081, 0x7ddea074, 0xc35edf60, 0x4ae8846c, 0xc1ba9b8e, 0x982b6307,
+    0xf44b4f50, 0x4cb1df92, 0x081740fd, 0x566ebfe5, 0xc2074054, 0x33a8f19f, 0x9015dde8, 0xff482a85,
+    0x2f48fd4b, 0x7aea6b77, 0xc132993a, 0xe68e26b5, 0x0aa41acb, 0x3f064516, 0xd7987d16, 0x32a78b85,
+    0x6843fad9, 0xe411bfa8, 0xb4ce952d, 0x6775f05d, 0xac4647b5, 0x3a8bbad9, 0x15a7c72a, 0xcc1fe1f6,
+    0x10a3471c, 0x65c3caec, 0xc04b33ce, 0x3bebd311, 0x4e520168, 0xd94708ba, 0x917cd549, 0x51c58826,
+    0xd5dd458b, 0xb897a8dc, 0x9ea4ab03, 0xf94d73b0, 0x1fce9508, 0x8d681117, 0xe167ff7b, 0x75edbeb2,
+    0xeb9a0979, 0xd7e7eb86, 0x240e59f3, 0xec0b4bc1, 0x59ad21fb, 0x3b928d00, 0xd32a92c2, 0x98a22108,
+    0x15fc9899, 0x50cebfde, 0xe22cf69c, 0x5fed1d29, 0xf61cd001, 0x45e3f7f8, 0x86c426cf, 0xd89e5fa1,
+    0x295142c7, 0xc680c805, 0x362bb536, 0x494bed3a, 0x0af5f4ea, 0x01ec9f47, 0xbd58c47b, 0x5e4ab2e8,
+    0xa158b3c2, 0x2a1991dd, 0x0c78c960, 0x76cc576a, 0x8457fefd, 0x8dba65ca, 0x03ce4536, 0x355d825a,
+    0x07b1752b, 0x8945e922, 0x3b3cea6a, 0x82e5b595, 0x85cc1b7a, 0xa7aa1bf9, 0x00ee1174, 0x33b11f22,
+    0x72d5f82a, 0xf93d30a7, 0x2e701174, 0x4c22cd79, 0x9cf387f3, 0x4751513e, 0xf6ca97f8, 0xd0da010c,
+    0xef72d4f0, 0xc6d06eaf, 0x458cbd02, 0x1e8d3001, 0x544b5912, 0xfd94d00c, 0xb6306e28, 0xbd1458a9,
+    0x77b553a8, 0xe8a13910, 0x14e04861, 0xa3034387, 0x8b0683c0, 0xf7a02022, 0x329ca80f, 0xcd0c34e6,
+    0xfee321ea, 0x0c1f5418, 0xe336a519, 0x1347e92d, 0x8f716490, 0x308148f9, 0xd1a7ec50, 0x4ce4f9b2,
+    0x1e0c34be, 0xea5e9f02, 0x2da34b50, 0x63329ff5, 0x71a37876, 0xed06446e, 0xded91aa1, 0x74d9bfe1,
+    0x314cfabd, 0x8500830b, 0x768ee894, 0x5f9d91f1, 0x359e8b2d, 0xc44bd24f, 0x6e5af97b, 0x15ae1ad7,
+    0x11700652, 0xb880882f, 0xfc065aa7, 0xa3089e2c, 0x42318d91, 0x49c2b88b, 0xbf11f6b8, 0xa83a10bc,
+    0xa0c6ff45, 0x7f2db592, 0x61bd9a4d, 0x87e0bfe8, 0x4d3db5f7, 0x45c5b57d, 0x81614780, 0x6290114b,
+    0x367edd41, 0x6d4e372b, 0xa505eb49, 0x12936ce3, 0xbc7e695a, 0x92a5c5ae, 0xdb2faba5, 0xff0c75fd,
+    0xa6e2e93b, 0xd84629ca, 0xb11dd780, 0x7f96557f, 0xd10c0bc1, 0x79d6668a, 0x6a559f0f, 0x344502d5,
+    0x2e7fa88d, 0xea62be27, 0xbb1f2b8f, 0xadc6f8e1, 0xb19e0d2d, 0x08b5cfa6, 0xdbfe8208, 0xc2760baf,
+    0x4008895e, 0xb697c91a, 0x08f91d51, 0x05bdf060, 0x0853edd5, 0x2c0218cf, 0xaafe41b7, 0x7c2bffdd,
+    0x6a86bfe7, 0x0e732f08, 0xa98e6b4d, 0xeadeef68, 0x671770d5, 0xcf70861f, 0xb7170d24, 0x06e193be,
+    0x5eca7859, 0xe8111d57, 0x78e4df6f, 0xa150cb1f, 0x4e78edce, 0x45deeb89, 0x137d3fb4, 0x5e8c1a51,
+    0xfefa5f5d, 0x66ec13cb, 0x78e4e9e5, 0xb5cb8a79, 0x14d858c4, 0x2977c242, 0xfe5428c5, 0x52126b1b,
+    0xaa066bd6, 0x7eb75025, 0x6af90198, 0xa4db30f0, 0x7a2e73f5, 0x068dade0, 0xaada85cc, 0xa4ef973e,
+    0x887143c7, 0x97ffff8d, 0xd26abeaa, 0x0403c84b, 0x17d5eeda, 0xdb82e111, 0xc873c9d9, 0x5c75a305,
+    0x1685472a, 0x1a2938f6, 0x2726c7af, 0x787b7795, 0xc137d9af, 0x1eee6eef, 0x59edb664, 0xd39997a3,
+    0x4169357f, 0xd4ad80d8, 0x6821581a, 0x0b2f7866, 0xd490e179, 0x4938a26a, 0xa0aa98bf, 0xc03480f3,
+    0x1a13ec9a, 0x0e90179d, 0xcc313b6d, 0x8f39cca7, 0xf1b9dcbe, 0x3314c169, 0x5ff00d04, 0x0cef854c,
+    0x9a577ec4, 0x32991f32, 0xa03944f2, 0x2b743c01, 0x3f4bef58, 0x1d38817c, 0x9e61bb49, 0xf0fcd383,
+    0xc99e517f, 0x5765397a, 0xb59ad7f5, 0x90939c22, 0xf8e5ba2f, 0x979525df, 0xba1d57dc, 0xba1a0890,
+    0x2b54f92a, 0x81e08516, 0xbde478c1, 0x2afb4ade, 0xd224f69e, 0xd2aff46e, 0x4b77c875, 0xbd963f49,
+    0x281049c9, 0x6383c78e, 0x57990a14, 0x466ba916, 0xa72a610f, 0xe3b07d5a, 0x96099e11, 0x53373cbb,
+    0x0d926030, 0xc77fe4c9, 0xd8d9e556, 0x64d75d20, 0xbe28446b, 0x6d75dbac, 0xa4f1bc25, 0x5e02205c,
+    0x8cdec9a7, 0xab136ed3, 0x046a46a4, 0xab3ca59b, 0x9be0cf74, 0x0a31aa4f, 0x6c3ca246, 0x3c45d311,
+    0x83223acc, 0x2063a6c9, 0x0a223ffd, 0xf985f6dd, 0x592d6844, 0x6a348457, 0x65742f91, 0xb15c07aa,
+    0x6fbf9af9, 0xbebbea4b, 0x5d245d99, 0x2fed172f, 0xefbcd57f, 0x5d17559f, 0xf48c04cb, 0x26099d29,
+    0x50575a50, 0x19b18494, 0x1ffb8719, 0x36650d22, 0x5380e2b8, 0xbf54e8bb, 0x6efe32c1, 0x06926d31,
+    0x4321bf12, 0x6e171427, 0xa91447a3, 0x0b990f7c, 0x142472ce, 0x6ce3a4f5, 0x7f0b2f45, 0x16d835fb,
+    0x707dc0e8, 0x29ff4474, 0x7d6916e6, 0xa9255e05, 0x83df2792, 0xef7ac4b3, 0xb613eeb0, 0x0f8d3c4c,
+    0x5e9033e2, 0x60256473, 0x8b0d60a9, 0x200f0200, 0x1b89a90c, 0xc00d1db7, 0x27383319, 0x4a0b83d0,
+    0x7d847a34, 0x7a253924, 0x34af90c9, 0x3e042388, 0x55e267b9, 0xaa2f077f, 0x6817eea7, 0x8a350c20,
+    0x477e9e7a, 0x63c80f0b, 0x46c3efd6, 0x0753a37e, 0x6b81340d, 0xb696cec7, 0x811f2154, 0xe1cbd3b4,
+    0x8e779bc7, 0xa37262b5, 0xbb99ce5f, 0xf87898d3, 0x4c4cc276, 0x99eab1ac, 0xbc4cf980, 0xaefb36c1,
+    0x516855e9, 0xcbf8ed9a, 0x8e11a03b, 0x376ba017, 0x47e5a4a4, 0xf6e19f45, 0x12f4d491, 0xc30b99a0,
+    0x303bbb23, 0x1010f3c5, 0xfcc1309c, 0x6a76886a, 0xd0084395, 0xbffc5f01, 0xed570699, 0x66ec9e78,
+    0x8fb63336, 0x8b699ab1, 0x0fc97e29, 0x40960f73, 0xbf8e90f1, 0x02fc41df, 0x6830e222, 0x008cb7c3,
+    0xcfa55570, 0x3a0e1680, 0x0857fa87, 0xbcaaac3f, 0x0890a4f4, 0x5bcf9462, 0x1acb6ddc, 0x54d707f3,
+    0xeeb6bcf4, 0x21ae3dd0, 0xcb345b64, 0x55b472e0, 0xbc9f68d9, 0xa448de5b, 0x8d9a02e9, 0xefb8417e,
+    0x869ef3dd, 0xfe8b6343, 0x5e494db5, 0x7132e487, 0xa7719a06, 0xcd60d110, 0x4da031c0, 0x7dadf12b,
+    0xeabaecd5, 0xd341b2d8, 0xba09eaaa, 0x0eb6b356, 0x2cdaad35, 0x8b460f6b, 0x7437e033, 0x2820f7fe,
+    0x62ef7f33, 0x07460a38, 0x4cfc4ce9, 0x8d427845, 0x53185f4c, 0xe4432d9e, 0xac946ec9, 0xfe5e6598,
+    0x7bb3ed54, 0x33d198bb, 0x1091570e, 0x4b505a91, 0x5c83c8b1, 0x0c31a14e, 0xa34751c3, 0x4943d3d9,
+    0xa2256955, 0x1aaad8d2, 0x9516ecaa, 0x637c3c3e, 0x7e40306b, 0xf404a27f, 0xb3633598, 0x2086d90d,
+    0x65e9898a, 0x7777fa62, 0x5b388f04, 0x27b735be, 0xede3788b, 0x28e583b3, 0xbe3c9470, 0xeaeb5925,
+    0x773e0357, 0x0eece03a, 0x781cffaa, 0xd365899d, 0x4e0c15bf, 0x1787e89a, 0xed14e2b2, 0xc0dab5ae,
+    0xcb960108, 0xbe5f238a, 0x6130366a, 0x5bf2aace, 0x19d7ea41, 0x65d3e65a, 0x5f7dbf9f, 0x11e13a6b,
+    0xfe368b07, 0xf272542a, 0x6e3ce2e0, 0x3d5b65d3, 0x0f3775d4, 0x712a0a3e, 0xdf71d67c, 0x49dc8d30,
+    0x041f03e5, 0x667bd3b7, 0x3d867882, 0x11596711, 0xe7d4797c, 0x2c71b57e, 0x8daa4135, 0x02477e0a,
+    0x248ebe3e, 0xcccef1e5, 0x29143269, 0xffe6528c, 0xc0b442b8, 0x6b17de80, 0x468d2e40, 0x022fe71b,
+    0x072662cc, 0xd91c3d99, 0x9bb155ee, 0x887cfbf1, 0xb1d347d5, 0x47f7a730, 0x993e042c, 0x7e427912,
+    0x77804915, 0x319cf281, 0x571c39e7, 0xf7778e3a, 0xfa93c454, 0x870fa615, 0xc2d36f05, 0x65949c28,
+    0x6490cc42, 0x9ccd483f, 0x669ffbbf, 0x0f5f0186, 0xed362747, 0xdade62dc, 0x95140477, 0x1412d50b,
+    0x96125757, 0xb9f7d189, 0x51566efa, 0x3e501521, 0x420a140e, 0x2a231a8c, 0xc9d7e052, 0x135f1b25,
+    0xcdffb85a, 0x8f22cc0e, 0xed5afc40, 0x75bedba0, 0x1c9bb13c, 0x462e814a, 0xe007c75f, 0x5742d1a2,
+    0xccd751a3, 0x487c2841, 0xf8a363f6, 0xb40ae1c8, 0x88146f4c, 0xe27104ba, 0x3b2df71b, 0x356d155f,
+    0xe89a2145, 0x0e7637ad, 0xd58bfaa2, 0xc58dc68b, 0x94f55bde, 0xd1078999, 0x3a6f5296, 0xa7d8ea3b,
+    0x261f7607, 0x4f88af4e, 0xd59bc1d0, 0xede5e059, 0x5f438921, 0xe33426f0, 0x109bc282, 0x3fdeb72a,
+    0x0444b3d9, 0x5b3768a6, 0x2d08176e, 0xdb7559c6, 0x45b7719c, 0x63d66cc6, 0x7629dbfc, 0x0dd85e33,
+    0x83feece2, 0xd70bb8f0, 0x8539dbf6, 0x0079efa5, 0x46da7e4b, 0x5a6b31c0, 0x5055e0ff, 0x96ffa78d,
+    0x63c1a812, 0xcf4f9bbe, 0xd6cf2b89, 0xbf97734b, 0x6edad312, 0xca55df00, 0xcbcf4eff, 0x7dda7b45,
+    0x64f43879, 0x953ff56b, 0xf29cc395, 0xe45025ec, 0xe09e5209, 0x65c9282f, 0xe608b56f, 0xf6182033,
+    0x52f109b8, 0x6d99ce3f, 0xcd170325, 0x6c0e3c35, 0x4b5884aa, 0xe9a1efa1, 0xff7e44b1, 0x288c0742,
+    0x4fe240c4, 0xcb50108d, 0x951972dc, 0x78ac05ea, 0xd2e1100f, 0x8db585ff, 0xcf7b60d6, 0x28bcfdad,
+    0xb419c50b, 0x13a5b670, 0x857b599d, 0xc5363b9a, 0x5187f677, 0xb480a9d0, 0x60dfc950, 0xb3d377fa,
+    0x83727d30, 0x23aec368, 0x4e95fd7c, 0xc0886610, 0xb1513ced, 0x9044f26e, 0x4fbd7a5c, 0xda270297,
+    0xfa11c554, 0x7903dff3, 0xb7a49dca, 0x90f32033, 0x31b8cee8, 0x4b9e3c8a, 0x4d013214, 0x19f4f80d,
+    0x3e7c1500, 0xaf79e57a, 0xf0ba705d, 0x5dacc9d1, 0x05e476d0, 0x9bffa7e0, 0x8a8ec924, 0xef182edd,
+    0x6574d9ac, 0xc69f3ad7, 0x4cea25a9, 0x8ff467cb, 0x97845d9d, 0xda1bdf5d, 0x56890dc0, 0x6ecb4578,
+    0x1ea57d98, 0x01b9be61, 0xb3cbd908, 0x72c18d42, 0xd568896d, 0xcf3df434, 0xc3f054cb, 0x672f6718,
+    0xd51612dc, 0x89a1d1f8, 0xfc94e303, 0x2d6e2985, 0x2571f56b, 0x753639f0, 0x9a5cf86f, 0x45c3be12,
+    0xf2dfc9a8, 0x9de515eb, 0xa7a96b39, 0xe58fbfa4, 0x3bbc6160, 0xd8f23c6c, 0x18f44e74, 0xabc35c56,
+    0x06f0b6ef, 0x4c39b6b7, 0x34d983e9, 0xeb48f72f, 0x8a702936, 0xf99f85b8, 0x24e2efb7, 0x6243d433,
+    0xab9d78e6, 0x2c449529, 0xd7ea235e, 0x1913cb11, 0x57714223, 0x5ff3dbc3, 0xa31701a9, 0x6d87fafe,
+    0xe4c84366, 0x1982e7f8, 0x69077582, 0xfbd29ab7, 0x0acf37af, 0x04ca9502, 0x914627e7, 0x1e49560e,
+    0x017667cb, 0xc0e94442, 0x3ac99964, 0xbf28067e, 0x0f09c12e, 0xd2b87897, 0x8de0b7ec, 0x8d5bbfbf,
+    0xe7609c79, 0x119225f2, 0x756a7624, 0x6f3c43b3, 0x0717e8b0, 0x4b795393, 0xa625e3d1, 0xb566666c,
+    0xcc781d7e, 0x6e9de067, 0xdc10997c, 0xca4aa816, 0x2b59345f, 0x4635ef46, 0xab914f04, 0xe140419d,
+    0x00000000,
+    0x4beab639, 0x51f3a3e2, 0x50fde9dd, 0x7859d066, 0x6ac8082e, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96,
+    0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000093941703310953329115579223871573\
+                         48109502730195633279482829163886128836100458433773854795993539074812127739904 */
+  { 0x00000000,
+    0xec5bb323, 0x9083deb2, 0x7d73d871, 0x0dab7c33, 0x8e568038, 0x7a341945, 0x16dcf948, 0x5b2f4a38,
+    0x5dd815d3, 0x021de6b3, 0x00e6b425, 0xe161b371, 0x4c5dcf34, 0xb79ebcee, 0x28ea001a, 0xa4b1c108,
+    0xa45f9058, 0x920c5c4d, 0x5959cb56, 0xe5d9ddd4, 0x67029020, 0xadd9812d, 0x9f2cfba7, 0x0e10b2e8,
+    0x57ca592f, 0x9f7dabe3, 0x5f35d5ba, 0x545bb683, 0xe7fb5a54, 0x4e075f8b, 0xe58dd27e, 0x15822b2d,
+    0x0083a93a, 0x2bcc12f7, 0x7d42a96e, 0x4e141287, 0x090aa0a2, 0x7f05315a, 0x8d06ec85, 0xd6457846,
+    0xc183981e, 0x92a5156d, 0x32adb073, 0xd935997e, 0xd538080b, 0x6f6392ae, 0xe1527c34, 0x62493558,
+    0xc5b17a85, 0x98dc561b, 0x3175a10f, 0x82cc59e8, 0x0b86e615, 0x54be2944, 0x987369c5, 0x0c49b495,
+    0xc3f33860, 0xf1762653, 0x3d2d6902, 0xf0c6ae62, 0xaa148864, 0x4660d431, 0x0edef227, 0x203694d9,
+    0xe8c0ea3d, 0x4c06a43d, 0x8e53a7ef, 0x9d814fb5, 0xc8744ca2, 0x0d403999, 0xf05d7bc6, 0xa0c4e7fa,
+    0x170df7f4, 0x237dd4f8, 0xfc2247a7, 0xd8291858, 0x66171453, 0xcb7e4c36, 0xcc048af2, 0xa9ba52bb,
+    0xf934c45e, 0x395049d8, 0x0f7a85af, 0xf13ea142, 0x91e44c31, 0xd3fb57a7, 0x71c659f0, 0xecf31c1b,
+    0x6dc9c37e, 0x3ae771b6, 0xad72bec6, 0xa91eb123, 0x92eaf6ee, 0xa67520fa, 0x27e5f9b2, 0x84d26839,
+    0x7118cd0e, 0xc93bc411, 0xcc795a86, 0x1cdd1f4e, 0x500e2f27, 0x6b1f381f, 0xe266c91c, 0xf870f742,
+    0xb57e8fc0, 0xb59a7b9b, 0xe06699fa, 0x88a14c79, 0xdf56d69d, 0x5cdcf6b5, 0xebae011c, 0x72461c6e,
+    0x722503b5, 0x7649deec, 0x154fd910, 0xeac16333, 0x3745af33, 0x1420368f, 0x7da321f8, 0x9caddd40,
+    0xf152d573, 0xa6f292ef, 0x6ffc4032, 0x1e8afb81, 0x28b13047, 0x3bcac8d5, 0x07c8e60a, 0x9f1b7fda,
+    0x988da6aa, 0x3f7476f4, 0x97c36330, 0xc37edb75, 0xaea0f716, 0xffbd8292, 0x8e38748a, 0xf4d982c3,
+    0x416ec68e, 0xe00d33c6, 0x6a3536e9, 0xca78a44a, 0x04e47113, 0x5b44a04e, 0x6b58c621, 0x40b0242c,
+    0x9762cbd6, 0xc2b4478b, 0xbf1b08db, 0x68f5672b, 0x69abe840, 0x8275d789, 0xe1737a34, 0x33da79d7,
+    0x578fcb2e, 0x689a536d, 0xae125d35, 0x43637b06, 0x3a73d072, 0x73fdc100, 0x4d408c64, 0x5bed5549,
+    0xa59fd103, 0xcce98920, 0xf01322c8, 0x709127f5, 0xbc3b26c8, 0x66ddae31, 0xfb9e8a3b, 0x61ac508d,
+    0x99278507, 0xe5f502bc, 0xf28fd4b5, 0xfa92ca59, 0x3e1771f1, 0xc93dbd60, 0xef378556, 0xb8d5b57d,
+    0xcebfbff2, 0xd064ecc4, 0xffefd73f, 0x196e40b3, 0x09e52ef1, 0xa89533ed, 0xde5c4d8b, 0x4a02bb49,
+    0xac80d738, 0x155e98b2, 0xd3ed4a3e, 0xf456fa29, 0x7cecaef3, 0xc6e2a71b, 0x15d850ac, 0x675c14f0,
+    0xa6ece508, 0x2808d73d, 0x847caa0d, 0xa4bc7d33, 0xb2922580, 0xf6385b40, 0x3ab86531, 0x1a2849b7,
+    0x05023b91, 0x0c1e8698, 0x2d751f17, 0x09536299, 0x4f1bfa39, 0x66cae312, 0xd20e7293, 0x8175f557,
+    0xe9abf487, 0xfb0c777a, 0x05d7fa6c, 0x05d1cb67, 0x634092ca, 0x66d7213b, 0xf081445d, 0xfaf293ec,
+    0xb84ec98b, 0x48c2ff00, 0x580b2d7c, 0xc87b7a9d, 0x8adf8328, 0x4c1e6f6f, 0x4026665b, 0x9ea4e828,
+    0xb8df3d71, 0xba841a66, 0x0fe81740, 0xe74f4cfc, 0x9885627b, 0x90a213ac, 0x715af55a, 0xf1ee4c3d,
+    0x05ae07df, 0xe22a5841, 0xb9a42c3c, 0x38e68e94, 0xb6cf38ea, 0xbbbae4f2, 0xab61e4d0, 0x4ffc0f55,
+    0xd3d4424c, 0x05c48aea, 0x7ddb409a, 0x8008df17, 0x9e485fb7, 0xc4a89cfe, 0x170d4fb8, 0xd52e16df,
+    0xc79c06ba, 0x2cb56534, 0x43946716, 0xe6b56ea8, 0x75d567db, 0x5e519fd6, 0xd1096620, 0x28b48d75,
+    0x603fe826, 0x5f237a37, 0x7a52436a, 0x9623b734, 0xf2f91cb4, 0x34460c1c, 0x26fcd36c, 0xe1782498,
+    0x67a74883, 0x10c0dfd5, 0xaa17123c, 0x6db71eaa, 0x58e00c5f, 0xa578b60a, 0xeefaa45d, 0xe1654e4c,
+    0x11c60489, 0x2eb0602f, 0xe783b3de, 0x1856e18d, 0x0795e29d, 0xdd9aa327, 0xa3729733, 0xa14c78de,
+    0x5b347b6b, 0xf800e660, 0xd06758ec, 0x758db15f, 0xd0a51781, 0x4e1969f2, 0x3454d7bc, 0x7e41ae4f,
+    0xcaa8fd69, 0xb647c671, 0x8d3d64e7, 0x394ea825, 0xfa9ef6b5, 0xb05100ae, 0xbed3c292, 0xf49c01e3,
+    0x095b6a9c, 0xa661fbf7, 0x4b904777, 0xfa5ef5c6, 0x4cde20ac, 0x9e6a5940, 0xd8376d0b, 0x42409aed,
+    0x77f89c2c, 0x1a7fb23b, 0x59fd74d5, 0xb5daba72, 0x71e9f834, 0xe18eee4d, 0xaf538eea, 0x0eb625e9,
+    0x059fb859, 0xa6ba114b, 0x4bd17da8, 0x39e9b262, 0x7096b724, 0x79bef197, 0x1de5ebf3, 0x16842447,
+    0x6dd6f99f, 0xda69d1ca, 0x0e9cc7cf, 0x40fc2920, 0x14d0503c, 0xfc54a459, 0xda287335, 0x3c6b6141,
+    0x9fa34b24, 0x645882af, 0x027fc608, 0x9e79941a, 0x6109b98f, 0x4dc7b7f6, 0x99edd25a, 0x42b26066,
+    0x719cccd4, 0x7116360e, 0xe7b6e9d7, 0x1ac60dd9, 0x37c49986, 0xa67f1bd6, 0x76f6e7da, 0xf7cdb9cb,
+    0xf39e1d01, 0x38f27ee4, 0x8c18593a, 0x20ee4f91, 0x1081c3a2, 0x2f443a53, 0xa42abd5b, 0x9fcebc49,
+    0x9585d392, 0xc6a758c3, 0x63c24427, 0xdd416e4d, 0x75155c14, 0x579594a5, 0xbc67dac3, 0xfa898414,
+    0x9e1a7937, 0xf9230d73, 0x54618121, 0xf4f0a122, 0xb1be2f7a, 0x75195424, 0x01b9f0e2, 0x80c6e7a1,
+    0x4b68c46b, 0x62f8afc4, 0x970db06d, 0xfecf4414, 0xd80121c5, 0x06e8801c, 0x7835f0d3, 0x68b79d16,
+    0x56e22ecc, 0x13fea98f, 0x3eab3e6f, 0x9c72044c, 0x29a04710, 0x2d866908, 0x552e4155, 0xedf81e78,
+    0xe2376fbd, 0x8a00a46b, 0x94c31f40, 0xf1fa02fe, 0x46cd6a19, 0x2661fb22, 0xc6fbee7c, 0xb55832b4,
+    0x45256343, 0x9ad75712, 0x430af92c, 0xf572eec4, 0x13805a44, 0x6b844d4b, 0xa4bc01a4, 0xb373fa80,
+    0x2d76e95a, 0x1f6be7a8, 0x476cf78b, 0x16cd5570, 0x84295a4a, 0xda4b2b34, 0xadab1a91, 0x2c3ee5d6,
+    0x560cbea6, 0x22418e62, 0x6e9e2da3, 0xe67b14f5, 0xba5d654a, 0x9f2c1f38, 0x3b66dbc8, 0xcfa87956,
+    0xd467480a, 0x97c42032, 0xb8a9c0d2, 0x62e4e547, 0x422b6b37, 0xba47a88b, 0x55fca760, 0x6f571da5,
+    0x54039714, 0xed507a46, 0xd00f7ad4, 0x90f38c2d, 0x080581e8, 0x8ce6db98, 0xe99681e0, 0xa57d8497,
+    0x5c59d9de, 0x1f788cd3, 0x966b76e3, 0xcc121633, 0x5f58eaf5, 0x49294fc2, 0x79b8a722, 0x4eabbb6b,
+    0xbce2f18b, 0xadc9c6c1, 0x0e892080, 0x3fb22e5a, 0xa795593d, 0x0705a135, 0xe08c59e5, 0x10f90588,
+    0x78dfa625, 0x570c75fc, 0x4897202d, 0x7df9ff22, 0x990ae0bd, 0x3551393a, 0xb0494608, 0x81377129,
+    0x7c77dd13, 0x85cfe877, 0xd49dbcdc, 0x0912b22d, 0x4bc49bd1, 0x8e0fa749, 0x02190d9c, 0x66b7f452,
+    0x826fb67d, 0x9794396e, 0xfac7f80c, 0xa9be2957, 0x32fb6e96, 0x18718d95, 0x1ea18be2, 0xa1e6f4f0,
+    0xbe1ba051, 0x079f492b, 0x57a1e541, 0xae2c3328, 0xe5c41ac4, 0xe5bbef55, 0x55d35fe7, 0x80ad8b8e,
+    0x7c3fb7b7, 0x7c3e5063, 0xd1575229, 0xedf6bc03, 0x73f0b45f, 0xfbeac622, 0x46fe7e11, 0x77d3a689,
+    0x482ff7d8, 0x5a0da85e, 0x1fbdb279, 0x4dbfc90d, 0xa97acfa7, 0xffbf2a16, 0x7d1ae9b7, 0x81bb2423,
+    0x56c84bdc, 0xf2d1a75f, 0xd49f068a, 0x2ad9bab5, 0x9c5c6be5, 0x63d7a646, 0x3b02f8d5, 0x654722af,
+    0xb44993af, 0xd3674b42, 0x247d16ab, 0x28da07b7, 0xdb3388ef, 0xd9c57420, 0x0d370442, 0x53574e84,
+    0x9e3daf2a, 0xc499f9b4, 0xa616cb04, 0x98a6a9f6, 0x97a83fe9, 0x0cb57b5c, 0x2d7097d6, 0x3be9a1e1,
+    0x58d508fb, 0x82a50a06, 0xbe932a44, 0x37f7c54f, 0x07f55e86, 0x6ae1f46c, 0x0430b297, 0x0eecc410,
+    0x617acb63, 0xe7c3443b, 0x8321a243, 0x1076eb37, 0x9f2e4d75, 0xd33cd4e5, 0xf5a22e66, 0x84427d93,
+    0x80c54747, 0x6236c3a4, 0x72bd1f7b, 0x031aa075, 0xb997cf99, 0x7fb56649, 0x393c9433, 0x308c2722,
+    0xc3e6e11f, 0x550ffe19, 0x122fb72b, 0x3001779b, 0x0b7beec4, 0x244f2855, 0x076f5062, 0x188c12f5,
+    0x9d2cab37, 0xb30cda5b, 0xc4868465, 0xff96e7c4, 0xf3db9cbc, 0x9e41906e, 0x8f5e8c70, 0xc6225a28,
+    0xbb41125d, 0x1317ef5c, 0xcaebd8d5, 0xea96ddaf, 0x6bd72187, 0x8bad421c, 0x59c7aa21, 0xee172c3e,
+    0x8de97b12, 0xb2b9feff, 0xbe45aad1, 0xb6780f84, 0x2d4639f1, 0xa56452bc, 0xe1870b1c, 0x475dde0d,
+    0x30f5c397, 0xc908ffa0, 0x29e39e5e, 0xda4d4125, 0xd6fae148, 0x1204a21a, 0xe57ef60a, 0xf86a59e8,
+    0x4585323d, 0x5d6244ba, 0x7e4c4885, 0xd6bb18bd, 0x27bcaffd, 0x174872e8, 0xfdcd77f0, 0xb3fc253b,
+    0x22719ea2, 0x7f18689d, 0x0a1d385a, 0xc69676f3, 0xbf358e40, 0xfb7502f6, 0x351fd3a9, 0xf078f387,
+    0xbe5237e9, 0xd63956b6, 0x8d56d1fc, 0x9a06ba5e, 0xb686ac75, 0x2d864ad1, 0x41a3d236, 0xaffe1b1b,
+    0xe33cde95, 0xac5e9ba3, 0xa65e49e1, 0xd30d2797, 0x7797206f, 0x9640b365, 0x5f6ac6c2, 0x866038ba,
+    0x97b50352, 0xe36287a6, 0x29180e5c, 0x4a079ada, 0x05b74aa9, 0xd178aa2c, 0x19437498, 0x8de3ade0,
+    0x8c4cbbdc, 0x7d3be8cf, 0xd7b99157, 0xa0df86bb, 0x61136b0d, 0x26cbf7f4, 0xaf440dba, 0xd6f34a36,
+    0xe0f921d0, 0x1d39dbd4, 0x9c184077, 0xdab9956d, 0xb0f2d4bc, 0x0d86818f, 0xea0e294d, 0x77bec3eb,
+    0xa2efbb09, 0xe1693143, 0x08b5f1ae, 0xa59a15a3, 0x2ab450cf, 0xfd1357ba, 0x578b9fea, 0xd80fb5b5,
+    0x5517234a, 0xad12b15b, 0x13dedfb6, 0xa938527b, 0x21a34041, 0xa6132b25, 0x89c88347, 0xda2058d2,
+    0x693b37ee, 0x26dbacd1, 0x15861d95, 0x968696ac, 0x3a17acb7, 0xafe37617, 0x4cb38ffb, 0x6cb5e85c,
+    0x8a113cc6, 0x90c268cd, 0xe4292715, 0x81b88920, 0xdee0e7c7, 0x5a9e471e, 0xaa0fdb19, 0x5c3b0dd5,
+    0x48639973, 0x4f43481d, 0x5ccc4875, 0xb6287aa4, 0x0d348a1f, 0xfce1ca39, 0x0850e4a1, 0x0f31ba9e,
+    0xd30cebf1, 0xa688a547, 0x370a7363, 0x58f47a9d, 0x31f7abc1, 0x1dbde1d5, 0x8b6b190b, 0xeccf1902,
+    0xb19a80e8, 0x2f8fe1f5, 0x71fca4a7, 0xa8dd3a83, 0xecf27cb8, 0x3f3c2e7b, 0xaa57d92c, 0x4fd2a8b0,
+    0x3fa5d2d4, 0x882ba09c, 0xb6260a40, 0x37ab5482, 0xd20442ed, 0x5d065410, 0xe8b9d591, 0x67c63a5f,
+    0xb9b84219, 0xfd3f3f41, 0xdd8a5f16, 0x9e083dc7, 0x7cb73f61, 0x1ba34119, 0x11f2a0e6, 0x13fa8038,
+    0x1998c001, 0x05c5995b, 0xd27993b4, 0xcb377c2e, 0xc06947ca, 0xf7d727d2, 0xec9d0129, 0x80dde021,
+    0x95012132, 0xa3fb819b, 0x984a11c1, 0xcd2466ec, 0x2b45d786, 0xbefea205, 0x4ba9998d, 0xaf47799a,
+    0xf8587fda, 0x26020bba, 0x3d1bd62f, 0xcf62d6c2, 0x09734a49, 0xe9d2a87a, 0xaa7bd186, 0x3eb94140,
+    0xbf1ad5e3, 0x2e183d21, 0xcc70dc4e, 0xd5bf44cd, 0xc2984b4f, 0x0fc8fa85, 0x4282a038, 0xde51b8d0,
+    0x1b4ae35f, 0x46bbe0db, 0xb0e7f005, 0xdb864e12, 0x355c40e5, 0x8ec076a4, 0xa826ffe5, 0xeef71401,
+    0xabeced81, 0x2af421bd, 0x0547cf4e, 0x8ed16664, 0x2b5074ff, 0x3f48fbe1, 0x37210d18, 0xb3211eec,
+    0xd7954d0e, 0x331048ed, 0x014045a5, 0x53e225f0, 0x77121569, 0xf809d2f3, 0x96abe139, 0x74bfc41f,
+    0x840a52cb, 0x6168e900, 0xdcf0e8df, 0x966946aa, 0x79baabe6, 0x27c53a96, 0x0333247c, 0xab830caf,
+    0xa2f15d02, 0x04cfd2e1, 0xcffd99bf, 0x3aa93eaf, 0xbb82f585, 0xd3be102b, 0xce3f62cb, 0xbb8a0ead,
+    0xf4733f82, 0x379eeeb3, 0x67c89fcd, 0x50a568d8, 0x7feaf68c, 0xbe6b589f, 0x7c2996af, 0x65e022e9,
+    0x5484f144, 0x83e93871, 0x8cd912b6, 0xa47aeae7, 0x9a32a400, 0x15d40c88, 0xcf3545aa, 0x15733914,
+    0x4793ac7e, 0x8097145c, 0x749af6ff, 0xfefa649a, 0x97d64e9c, 0x09cb2940, 0x96cab41e, 0x0e96b64d,
+    0x5733b287, 0x2aab39bb, 0x46b58d00, 0x406eed14, 0xc3b4bc3e, 0xcf5e2fec, 0xc3adb303, 0xa2b18972,
+    0xd42d19ba, 0xce160c58, 0x2d1a40e7, 0x1baacbb2, 0x6dcb42b3, 0x4825241e, 0xeb6d6e63, 0x221f34b8,
+    0xbfd4763d, 0xdee5cc14, 0x40fb932b, 0xcd0cce2c, 0x284b80c6, 0x78f43790, 0xc8fb6e33, 0xbba4f340,
+    0xa51d60d5, 0x1777c8b1, 0x9fd2383f, 0x92988292, 0xf9c0f63d, 0xe52fb629, 0xd937fd3e, 0x849c86a8,
+    0xe9ac5910, 0x6e9268f7, 0x4dc6ed37, 0x105dabc2, 0x4bf6b7e2, 0xaeb0a2c4, 0x19a154a3, 0xfd5b7e4b,
+    0xd7f07bcb, 0xcdaee737, 0x6ce1f8aa, 0x8a3a0185, 0x41756b40, 0x39cb107e, 0xdca7e517, 0xa802ecd8,
+    0x63c4897d, 0x7c1270e7, 0x34972050, 0xd107c76b, 0x3441969d, 0xc8dbfa5d, 0x5c3650ad, 0x9e351ba0,
+    0x514eeb37, 0xb3e3be8e, 0x6eac6afd, 0x16b5fdbd, 0xc585fdbd, 0x9b539431, 0xdd54d30b, 0x1f736204,
+    0x2596f2b4, 0xde6b0645, 0x2a8baa20, 0xc133123d, 0x925c5aa6, 0xd91e8622, 0x68e12469, 0x4316ff4d,
+    0xdc01a717, 0xe4b00132, 0x535375df, 0xc188b920, 0xb8c49568, 0x8494e30d, 0x07942e57, 0xcc3de606,
+    0x4aa2de57, 0x0f483f7b, 0x566eebda, 0xaa52dba9, 0x50b6c78a, 0x5285f720, 0x07bfd70f, 0xa8d123f6,
+    0x7d6897b6, 0x8cb4f28d, 0x05d49708, 0x15dac04d, 0x1b4aced8, 0x77b9a100, 0x89e9fcd7, 0x40cc6e82,
+    0xcb260faf, 0x7123121c, 0x6ec8a7b0, 0x404b5218, 0x6e2de08e, 0x6b7a16e3, 0x0e8eaaa2, 0x0e645165,
+    0x9ca0f117, 0x12d6ae11, 0xd8dc4877, 0x354cb18d, 0xb0e97bd8, 0x2fbe9013, 0xd657831a, 0x2dda3516,
+    0x4ad7d786, 0x4f1d69a4, 0xf5457089, 0xbc818499, 0xa706c4c5, 0xfab278b7, 0x4074e4ff, 0xf1cdef19,
+    0xbc56b910, 0x2bb13a1f, 0x910efe65, 0xa80163e1, 0xbd6b2717, 0xe3721ceb, 0x3a749e5f, 0xd8d6a191,
+    0xaa663222, 0xcd65feca, 0x0850b49b, 0xb22d8af2, 0xe0398ff4, 0x59e23e21, 0x503f1558, 0x734dd468,
+    0xc4e45baf, 0x06f4e236, 0x76c5e53a, 0xd15a06eb, 0xe483cd10, 0xfc2b437a, 0x48939db4, 0xde1321fb,
+    0x70d8c641, 0x8b885ab5, 0xb86f6c11, 0xe5aa9de4, 0xedb569b4, 0x147e9815, 0x72f9d894, 0x93b44f46,
+    0xdd1fccf4, 0x901126a9, 0x1d7b2c8d, 0x4f855b7d, 0x07d5668c, 0xb728b8a2, 0xd0a931e9, 0x090e61a1,
+    0x71b733a9, 0x918fbdfe, 0xf44a3f78, 0xfa3b3936, 0xe28fa2dd, 0x5db5bf36, 0x00f50969, 0x45cdbb98,
+    0xf8c32acc, 0x8f3a3a6b, 0x18068502, 0xd689a809, 0x77981d2c, 0x49d702bb, 0x3193c711, 0xf57efe68,
+    0x3bea8a1e, 0x511d96e5, 0x29d44cbc, 0xf2425b5a, 0x5f2db777, 0x2b03fabc, 0xeb3fa772, 0x6afe6ef2,
+    0x05b7c758, 0xc485f587, 0x612a2999, 0x3e77547d, 0x8b042175, 0x01b7bdf7, 0xcdbe3af3, 0x8b7af167,
+    0x2a567c4e, 0x4934936d, 0x4b74cdf6, 0xf827dcba, 0x795a45bf, 0x55e1ca33, 0xf5844716, 0xa9ccddcf,
+    0x00000000,
+    0x25f55b1c, 0xa8f9d1f1, 0x287ef4ee, 0x3c2ce833, 0xb5640417, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb,
+    0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000046970851655476664557789611935786\
+                         74054751365097816639741414581943064418050229216886927397996769537406063869952 */
+  { 0x00000000,
+    0x98678bc1, 0x1958f336, 0xc7eaf38f, 0x07e83f4b, 0xc480fd22, 0xcbdc6000, 0x659efc92, 0xf4656ce2,
+    0x14be2b87, 0xda3e2433, 0x5f57fcc4, 0xfb19e8d5, 0xb8539457, 0xe5166040, 0xe3040177, 0xd11dbfc2,
+    0x4bc208cf, 0x13e83689, 0x2704ad6a, 0x4796d737, 0x35887f22, 0xac20501c, 0x2674dabc, 0x77b5a847,
+    0xca8f7bbc, 0xe9303d20, 0x07688140, 0x9ca6d739, 0x10298878, 0x1ee37a3e, 0x95b198df, 0x83bafb1c,
+    0x6518bb0f, 0xa6a47709, 0xf96ab4c5, 0x20adf035, 0xf9a48b2a, 0x86fc8cd3, 0xcd669d4b, 0xb065ae56,
+    0x5950064b, 0x2661430b, 0x92c9ece7, 0x6bcec9f3, 0x9683f1f0, 0xe64cb053, 0x5f2fb8d0, 0x0f1cf35e,
+    0x136dc2b4, 0x5b93492e, 0x4be0e773, 0x6bd7d14a, 0x17641b8b, 0xc95b030b, 0x2f378d2a, 0xb16fd165,
+    0x097ff2ee, 0x3e817467, 0x5293dcd3, 0xe2ee5f4c, 0x342d3463, 0x894f3b5c, 0xeddc4fb8, 0xe468cd8f,
+    0xaa451029, 0xabfcb424, 0xab1959a6, 0xdc7b9ad3, 0xf7c0e668, 0x217b09e2, 0x9281a4fd, 0x5778bec5,
+    0x2c414c5b, 0x3c9963ff, 0xaeb1ba47, 0x9e6cdddf, 0x473ecc8e, 0x1c4717ac, 0xa3894a93, 0x90b26905,
+    0xb3851513, 0x3c555534, 0xe0c745ee, 0xb15d0731, 0x32c5e9c4, 0xacd66c30, 0x9d0e4e08, 0xd03e93cd,
+    0xcce8c126, 0xa207ab31, 0xcee590e0, 0x707ec188, 0x9a187cd0, 0xe6da6fa6, 0x2846a6ea, 0x704621fc,
+    0xd9c40bcb, 0x930842bf, 0x356a4d6a, 0xb13b3e15, 0x70c91563, 0xe62a41a6, 0xc5dd55f7, 0x13094275,
+    0x4d06e3e8, 0x1a41c7ee, 0x7ab1f019, 0xb607a9ef, 0x12e74052, 0xf2664b59, 0x009cf81d, 0x222ff6a1,
+    0xb0ea5890, 0xc93ca85c, 0x2085c69a, 0x3b28d56a, 0x00edc8b0, 0xc340e7ef, 0x0cb045d0, 0xa49f5220,
+    0x4e88af94, 0xd610311f, 0xad545d1d, 0x4619fc08, 0x2030d83c, 0x3b521da8, 0xc175e2e2, 0x4aae716f,
+    0x0fdab1b5, 0x7b492341, 0x876d1578, 0x5e5edae1, 0x4678239f, 0x20c75ee4, 0xc4a1f05c, 0xd8123491,
+    0x387cdf4b, 0x94456299, 0x41598b79, 0xfddd85ff, 0x746df12e, 0xae00e4dc, 0xf70c6906, 0x7eb6fac7,
+    0x12e8f6bf, 0x5cddae2d, 0x5d5b7e40, 0x9b8456c9, 0x87a223e4, 0x69a6cb90, 0x3a4b4deb, 0x356c5672,
+    0x712b9a74, 0x6868c141, 0x91ea700c, 0xdd444344, 0x876c168c, 0x656b2328, 0xe33a349c, 0x82ee49d4,
+    0xc2049b19, 0x14b9f9e1, 0x738b8de6, 0x55c10999, 0xb1e62ab1, 0x24514e61, 0x546d6cd9, 0x18e70119,
+    0xef7a5d6e, 0x4d0c707a, 0xd74b8395, 0xd3dc0a27, 0xb128d69d, 0x4d8ec4b8, 0x52f319cb, 0x637ffb31,
+    0x35c11405, 0x379150be, 0xe7aa7858, 0xc95550a0, 0x1e06b109, 0x77a8fc8a, 0x6fb66285, 0x6c14a584,
+    0x25d697ad, 0x0b7f5b1a, 0x0bb57dc6, 0x2cdfacc0, 0x2241259e, 0xa50094a1, 0x7d3a7f3b, 0xa8249c7e,
+    0x93ea3cba, 0xa9d3c297, 0x23839b43, 0x04d82129, 0xaa5b0c15, 0x5bec5c19, 0x385839c7, 0x2d14a8d5,
+    0xf218c5e5, 0x9876bbb3, 0x03e57699, 0xc1abc3ab, 0xa7e989a7, 0x4e68cc75, 0x3c033c20, 0xb5b72176,
+    0xa97db37d, 0x9ba0b99c, 0x71ac8b2f, 0x4bba43b8, 0x2291206b, 0xa6896f68, 0xdf2c255f, 0x45fda6b8,
+    0x83a3a863, 0x349ce079, 0x97e9aab6, 0xdc82c6e8, 0x60241ef3, 0xc993a353, 0x4e6a4ab2, 0x41487702,
+    0x98dfa41a, 0x4d73a26e, 0x370e26b1, 0x6e0c9609, 0x0960ada1, 0x312ecdb6, 0xe9dc1160, 0x1424e052,
+    0x52daf7d2, 0x020ec2d0, 0x7fbfcf7f, 0x03bfb841, 0x6f70e5ce, 0x0cc45a14, 0xc8428403, 0x9967ba75,
+    0xcbd6b4aa, 0x4326189f, 0x43e927ca, 0xdc33d469, 0x9df98a32, 0x09ad9ab0, 0x5bf6fc5e, 0x06491bdd,
+    0x1271500a, 0x3dc5ed9a, 0xdcdb68d4, 0xb23832e3, 0x4bdb64a9, 0x70ce02c7, 0xb22c1a96, 0x8856de13,
+    0xcc08062d, 0x9c7b2060, 0x066043c9, 0x7860a213, 0x0c2499b8, 0xc1d571f6, 0x2e86b4f7, 0x96d22cc6,
+    0xbcf9ab1e, 0x5bb5b5e8, 0xd8a6b709, 0x12a147d0, 0xf99c5f83, 0xd7368f31, 0xeaa0655f, 0xe1c804bf,
+    0x96dbbd5e, 0x93cafc97, 0x8a2ea103, 0x6fd14fce, 0xc50a1453, 0x74785253, 0x42d3536f, 0x9dc1126d,
+    0xc3a8025a, 0xfab15fe2, 0x986475e2, 0xa2775f57, 0xef1ee20b, 0x89fb34e4, 0x7e678f57, 0x43aab7e8,
+    0x11b67916, 0x34a4acfa, 0x989dca87, 0xf6ddf6ef, 0x6a2cc942, 0x68818d70, 0x0c6bfb60, 0x2508fdb2,
+    0x3076fa8d, 0x0c184502, 0xedd9d10d, 0xfce4a97d, 0xbd519c4c, 0x8fd67de9, 0xbdb27aee, 0xadb344b3,
+    0xb1bd4deb, 0x9bb6496b, 0xd89b878e, 0xbbd55a09, 0xc68e0edd, 0xbc8d5cc5, 0xe1cda253, 0x03b8dca7,
+    0xdc63fee2, 0x12fe6259, 0xbef56943, 0xf7602cc2, 0xa5ab948f, 0x2c609975, 0xf769684f, 0xae5455f4,
+    0xe0808e34, 0xa0e2a8e4, 0x7c352117, 0x367f711d, 0x8aeaabba, 0x0a0fcdb5, 0xc5fcad78, 0xc74abc29,
+    0xc52a4f37, 0xb1f50424, 0x6130173d, 0xf46ba612, 0xab8aec41, 0x1cb76388, 0x84eb389b, 0xf4e943e4,
+    0x1475765d, 0xf6867fb0, 0x73600dae, 0xa848d6ab, 0xe3c3eff8, 0x4f64c2a2, 0xc4380e5d, 0xebe42053,
+    0x02507646, 0xa53ae719, 0xab531175, 0xeb843901, 0x79b7d61a, 0x9e9ea056, 0x76fca56f, 0x0cc82a0a,
+    0xe8372227, 0xee6ab744, 0x03fc6e0b, 0x8094d5ba, 0xb6b677bb, 0xc7e503c1, 0x32958635, 0xe42638ed,
+    0xe28d7979, 0x5cd9a468, 0x07640a7d, 0x3436e07e, 0x00f82800, 0x23004f11, 0x18294b53, 0x5fd2abcc,
+    0x0ab85d55, 0x50261f55, 0xf0d45546, 0x06a23141, 0x22d7b11c, 0x49f92fbb, 0x511a3073, 0xf12bc15b,
+    0xe00e804d, 0xe194f7fe, 0x183081bd, 0xd69a6f5b, 0x91f3c8e6, 0xb27ef681, 0x8ab23b38, 0x92d2c630,
+    0x97f11281, 0x25bb14da, 0xf4ab297a, 0xb6f5ced2, 0x07938ed6, 0xdc9433b9, 0xa28f80ff, 0xecadbebb,
+    0xb177a504, 0x8bdf9c83, 0x8dca60a5, 0x94369f15, 0xdcbff932, 0x80937498, 0xa2557b98, 0xe22c25c1,
+    0x40c5de6e, 0x1c1b0aeb, 0x5cb509d1, 0xab949036, 0xbbb19aff, 0x06edad77, 0xc0c867bc, 0x41819741,
+    0x56b83a2d, 0x8a0e41bd, 0xee8fbb9e, 0xa3fbaf3d, 0x7931cfed, 0x44e3d751, 0xcef462aa, 0xfd964afe,
+    0x483c1b04, 0xca25a02b, 0xdd470811, 0xa9104826, 0x6c9d855f, 0x76f3ed21, 0xcce02d9b, 0xad7627a4,
+    0xdab9d132, 0x506d2f50, 0xbb16ffb5, 0xb60d2da6, 0x14027254, 0xfeca458d, 0x98cc691b, 0x84592729,
+    0x06d4fe4d, 0xc5fbccbf, 0x94865a49, 0x8b518663, 0xc3587f91, 0x6088c367, 0x3a2df3f6, 0x1e70333c,
+    0x53f547f8, 0x3fb0849e, 0x87122d26, 0x3a0ee85e, 0x49a106b9, 0x31dd3f4c, 0xb642ad3e, 0x7316f423,
+    0x49c2816c, 0x6064d722, 0x7e1115f9, 0xb4fbb260, 0x8869fc5b, 0x72096b92, 0x7240c185, 0x88642673,
+    0x5556e699, 0xe39ddc02, 0x3e2f82cb, 0xd78abaab, 0xb95ea307, 0x9c9801f6, 0x609ce4ec, 0xf6f00b91,
+    0x71618189, 0x2c8f305a, 0x531cfe53, 0x3c4092c2, 0x95cab6fc, 0x50370882, 0x38896b24, 0x5b6fd286,
+    0xf10874e0, 0x2525aa3b, 0x62b1ab19, 0xaa1e8c5b, 0x8809df00, 0x84d4d4a8, 0x87472cc5, 0x8eff63cf,
+    0x5e0fc8c8, 0x84fc7c6a, 0x26de4ec4, 0xafcf5b95, 0x6d9808a9, 0x49f58b40, 0xf4b854b1, 0x7a0c1ce9,
+    0x8fcbfb3c, 0x2060fd78, 0x63b1d88f, 0x576822c2, 0x2562aac6, 0x666c8d35, 0x19c87c12, 0xc920734a,
+    0xbb6e4d49, 0x69ea2a76, 0x85e8f12b, 0x9a05de52, 0x403ac950, 0xf24e5a69, 0x8ad0b717, 0xb47a6adf,
+    0x62fddfc9, 0x3dbd10b8, 0xbd11ac51, 0x0d61be72, 0x1f5d6c1a, 0x75e004cf, 0x32d5805c, 0xc49567cf,
+    0xac02e727, 0x2e1dd174, 0x75b9a703, 0x528ed2ca, 0x5b785110, 0x27c3ddd3, 0x9ee04757, 0xb783faa5,
+    0x56250522, 0x39da8216, 0x320021e0, 0x3fddba3f, 0x83b86886, 0x9e004f72, 0xde42521b, 0x6e2222ab,
+    0x7962d90d, 0x2a084cd6, 0x32fbea72, 0x16fd6bae, 0x546804c8, 0xd6bc5cab, 0x8ffaa88b, 0xca83c98a,
+    0xf34db7aa, 0xc69bd27a, 0xc26a2724, 0x51bdda6e, 0xe871ed7e, 0xa9d0726d, 0x58394c4c, 0x585354df,
+    0xd0d5fb01, 0xc05bff82, 0xf142d3c4, 0x1fa5eb4b, 0x0709d02d, 0x1e4e53ab, 0xb19f3ab9, 0x7299eb4d,
+    0xbb5101ed, 0xe35b762f, 0xd1e85541, 0x7aee0764, 0x101aeee5, 0xc24454a6, 0x8d2a1947, 0x92531056,
+    0xe9938ddb, 0x651a4279, 0xd4e27730, 0xd8c913a5, 0x0c23cc25, 0x7819a915, 0x10f7faa8, 0xdc4b38fb,
+    0x47ccb0fd, 0x27f87328, 0xbcb715b1, 0xbcfa84aa, 0x58a72c7c, 0x9e5e2dd4, 0x9a627690, 0x2c4a47ed,
+    0xdbfa1a9a, 0xd9db0d37, 0x21b2be26, 0x867d5803, 0xf48f0fc7, 0x48f2a354, 0x8c80b0ee, 0x6822c500,
+    0x8dafaaa3, 0x76ef2e50, 0x456dba5c, 0xb247e750, 0x208c5226, 0x0ac8da64, 0x542d9363, 0xa87c405b,
+    0x07f2dd39, 0xcc6f2209, 0xc62315ae, 0x3b484fc6, 0x167c6f5a, 0x6b92588a, 0x818f23a4, 0xc5326940,
+    0xa869b9c7, 0xfb8d5985, 0x50c9b937, 0x276634af, 0x4c3b6d0c, 0x5704877d, 0x2f79bf92, 0xf26233e6,
+    0xc168b309, 0x10c18345, 0x5aff5aa8, 0xc471a380, 0x9b196b5e, 0xad29dbe1, 0x921a4282, 0x9e82aaec,
+    0x065d9bcf, 0x30aaeb40, 0x8397dddb, 0xc8bd6a0f, 0x43989b57, 0x0634b35f, 0xb239b99f, 0x894edb76,
+    0x124729a6, 0x0144af35, 0xb8f38bdb, 0x55fba741, 0x9eddc294, 0x94d16d3e, 0xaa1fbebc, 0xa3547f99,
+    0x36955e17, 0xd7e7423f, 0x97d961ae, 0xa1e01d67, 0x4ae2d9bc, 0xe40674aa, 0xd0e2d0c3, 0x6b000c67,
+    0x5d50f4c3, 0x4b6b6d35, 0x12783c33, 0x9653f19c, 0xc1214d4f, 0x1fa9cb44, 0xce345767, 0x850d9542,
+    0x4351defd, 0xdfa158a9, 0xa4858e1a, 0x781eca5f, 0x26d57945, 0x49e4af2c, 0x4243a97b, 0xc74bf98e,
+    0x1b372bf1, 0x39a63e8a, 0x63f7a765, 0x17775a63, 0x8857b934, 0xfbf02148, 0x2ab0c3e5, 0x7e335708,
+    0x0fd0b02c, 0x0d8f4789, 0xb9ac0560, 0xb33ed266, 0x4e2cb340, 0x004f6ff9, 0x318eba5a, 0xae9c7029,
+    0x1f2c63da, 0x5faf4a61, 0xced26db7, 0xd48566ed, 0x9b4114be, 0x9a1dbea6, 0x18448c60, 0x7a2a4bf1,
+    0x770c802d, 0xaf11b72a, 0x3c8647f6, 0x49f39695, 0x9124a95e, 0x7bafebc9, 0x266124ec, 0x82d325e3,
+    0xdea19b88, 0x33f2d328, 0x6613533f, 0x2ee3c4ce, 0xbe75ac1b, 0xf012fbf7, 0xb6d5e5b7, 0x52c1d0bf,
+    0x8686beb4, 0x27f75e2e, 0x203bcf7d, 0x0403cd46, 0xf1d22581, 0x14393645, 0xce0c17a6, 0x61340c96,
+    0xdb3f2a70, 0xb599dee7, 0x75a6021a, 0x931bb101, 0x29cab25b, 0x76366e06, 0xf094a464, 0x5ced7d98,
+    0x74c12977, 0x0763b011, 0x862482fc, 0x8b5a1727, 0xe0752642, 0x735ad207, 0xd55abe86, 0xece63eb2,
+    0xe933bf5c, 0xfc3e33a0, 0x6ceb4394, 0x4f89491f, 0xa0a1f4b3, 0xb7895650, 0x219dc7b0, 0x0757370a,
+    0x92fc1d18, 0xde8d200e, 0xfb182e48, 0x4e3ce404, 0xbd47e76c, 0x030b02af, 0xfb992147, 0x75b0f93f,
+    0xa543a84f, 0x9497a7ff, 0xe131e5cb, 0x2ea56f98, 0xbb69fa99, 0xd7fad1fb, 0x29d4e01a, 0x78543a6a,
+    0xffe19208, 0xdd03ebac, 0x6bc96cad, 0x778bacf5, 0x8b756ed3, 0x3a074544, 0xf57c13ab, 0xad38ec9c,
+    0xd7038b91, 0x4034bb6a, 0xbda74f2a, 0x4434d2a2, 0x7422a077, 0x2c379bfd, 0xa23e6b81, 0xd016c53c,
+    0x0dc998e2, 0xd3f54834, 0xb080ecfc, 0x8b37969e, 0xd78f2de7, 0x0874dd41, 0x1f47738e, 0x7d0e10dc,
+    0x3a83154b, 0xda24e81f, 0x7812f842, 0x142c3d7c, 0x18002ca2, 0x8a5d84ee, 0x50a3e12d, 0xd4f205ac,
+    0x997072c8, 0x454cccee, 0x1015098d, 0xe053eb44, 0xd6788829, 0x41671932, 0x87de7c7d, 0xbb493f13,
+    0x2fd12f54, 0x83445591, 0x266723bd, 0xa58e5af8, 0x774595ad, 0x2e07a6a3, 0x51b4ecb9, 0xbb0d19d3,
+    0xdefbba28, 0x34a3bb70, 0xd7540702, 0xb98b629a, 0x8a1e79c7, 0x762412d5, 0xf7e9ef67, 0x8c7d5e5a,
+    0xfa0b0a18, 0xd68989d5, 0xe598336f, 0xe5e21935, 0x67d9ad36, 0x08e0d66b, 0x33c1973a, 0xcfed02d4,
+    0x886e1f69, 0x22cbf796, 0x7fe8aec4, 0x15de448c, 0xe850abda, 0x26e767ac, 0x85b3e813, 0x7b50ee2b,
+    0x4d2f5c7f, 0x89715e21, 0x9aea938d, 0x0bdaeacd, 0xfb21eaad, 0x87eb2a83, 0x3e8210d0, 0x9569deba,
+    0xfde51cc6, 0xb1009a89, 0xf99d37c3, 0x26510de1, 0x79813024, 0x7007dd60, 0x360972e4, 0xb1b81ec7,
+    0x0ca6636d, 0xa984d1e7, 0xcf3b56c5, 0x945d0822, 0x833246b6, 0xed61ec4b, 0x6129063e, 0x5745bd43,
+    0x39b28e2b, 0x6abe3d43, 0x7d0aa29c, 0x878914d7, 0x5dd539b8, 0xf5a458e0, 0x398f6d07, 0x4b9d015d,
+    0x99f5476d, 0xee422923, 0x68596f3f, 0xf9e06598, 0xce28be60, 0xf5e3b497, 0x49a985c1, 0xb2f8a904,
+    0x93f81468, 0x95583185, 0xfd613dde, 0x17d51e4c, 0x347aa107, 0xdf7fab3d, 0xa769f8e5, 0x7b28346c,
+    0x211a6900, 0x3b1f5a78, 0x2641cac0, 0x8f2cb42d, 0x0ca65fdf, 0xdea92233, 0xf3e99fdd, 0x1b7801cb,
+    0x0f845361, 0x033b37b5, 0x24e7479c, 0xb39bc31e, 0xf21f0434, 0x5f805d25, 0x9f68f218, 0x1de29e9d,
+    0xa4c209e0, 0x70a36273, 0xad907503, 0x94e61e91, 0x8b76d7f0, 0xafe89107, 0xed988600, 0xbfb5786f,
+    0xe213f659, 0x5cbd2e5b, 0x9e9ea4b5, 0x6daf20eb, 0x70cf49f0, 0x853f41cc, 0x87192ad8, 0x379ac683,
+    0x42f56c42, 0xcca337fd, 0x880a9935, 0x9b6d5be7, 0x5b2ecb6e, 0x40775fec, 0x1af40f68, 0x4c4e5ed3,
+    0x2715273d, 0x2d39f23d, 0xf25ab561, 0x5198c6c1, 0x66bbe2dd, 0xf9e5b102, 0x72951cde, 0xee2bc688,
+    0xcb2e2c36, 0x1fb9e0f6, 0x4378c089, 0x54e73c71, 0x80377535, 0xe52cafa7, 0x57172d60, 0x9648bf82,
+    0xa289cb4e, 0xa4ebf473, 0x66c9ff31, 0x13e032c6, 0x6686e662, 0x95d935dd, 0x288ea2df, 0xda7eae68,
+    0x5c55cbde, 0xfad3ce1a, 0x5b1ae133, 0x18113001, 0x2c78f2cd, 0xd8a558c7, 0xa2f1bf67, 0xcd7ebdd0,
+    0x00aada8b, 0x8239490b, 0x41cf433d, 0xbb6db960, 0xd7df611a, 0xd735458a, 0x371e3920, 0x27f255c9,
+    0xc29043cd, 0x72ee8176, 0xc4460352, 0xb2d3c76a, 0xfbad4a4a, 0x55671811, 0x1983dd54, 0xebde66ea,
+    0x988bae79, 0xe65b4763, 0x41f44ccb, 0xdf48b815, 0x4cc4cf60, 0x6a8c8530, 0x8d7f674e, 0x8a1b493a,
+    0xdfd235e3, 0xc4aa357f, 0x1c01f99c, 0x6a4c30e9, 0x0f2703cb, 0x90743323, 0x3d1add98, 0x729462d4,
+    0xa211be26, 0x51fbd351, 0xa3badee9, 0x1e7d3dee, 0xd0fa4b02, 0x5fc6ece1, 0xc438da00, 0xf465c4d9,
+    0x39e74d82, 0x34c59e78, 0x9dff5645, 0x6d27a5c8, 0x8c60bd26, 0x2ae70377, 0x8fdbdb91, 0xefed5fd9,
+    0xf0efe272, 0x4dd10b85, 0xb616c157, 0x634f7a53, 0x6fb82d39, 0xbd9676ce, 0x1530ed1e, 0x5a5377f2,
+    0xed9bfdf3, 0xbef96545, 0x95013e63, 0x1b229223, 0x137ac8b5, 0xb93f0f67, 0x20ecfe04, 0x1b8146bf,
+    0x22c28abf, 0x22ecb2d6, 0x53fb026e, 0x20af0c3d, 0x8e7d50b4, 0x88e75137, 0xb7807882, 0xd07dec3a,
+    0x00000000,
+    0x92faad8d, 0x547ce8f8, 0x943f7a77, 0x9e167419, 0xdab2020b, 0xceb53a46, 0xb157f8de, 0xbf6d3365,
+    0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000023485425827738332278894805967893\
+                         37027375682548908319870707290971532209025114608443463698998384768703031934976 */
+  { 0x00000000,
+    0x25551fe5, 0x13bc29b3, 0xa26d9f69, 0x3ab99f1c, 0x227c3848, 0x289c1a91, 0xe207360c, 0xc4d5579d,
+    0x07c1d243, 0x110c81b2, 0xb75bcb6b, 0xfca6e63c, 0x5eca5e83, 0x98c762b5, 0x59d6b881, 0xe5219a52,
+    0x73ef0f58, 0x9cb440c1, 0x8e678d0d, 0xe1651e8f, 0xd3baa157, 0x0324bbac, 0x48842e4d, 0x1c359645,
+    0x0d4b742a, 0x55a15559, 0x11fdec79, 0xf9e8d005, 0xc3deaf33, 0xa4dc32ff, 0xf5740698, 0xad58f721,
+    0x96ba4d2e, 0xdd1ac0dc, 0x852f49ea, 0xed6d7f0f, 0x3ab7bb41, 0xca2bbb6f, 0x2855a5b3, 0xc1bfee11,
+    0x5419e0ff, 0xfb5409b4, 0x09d919ca, 0x6a7e0837, 0xe1e5cb3e, 0x2b2bd634, 0x766e4cc3, 0x01f8faa4,
+    0xe1a9faa7, 0x7dcad6a0, 0x3222fae1, 0xbad3bfd9, 0x86e95ded, 0xeeb8679d, 0x783ec16e, 0xc13e2047,
+    0x1b43684c, 0x2b1cb2de, 0x74117097, 0xecefab5c, 0x5d6612ba, 0xf738b4e1, 0x69bd55fa, 0xed986bb9,
+    0x532dff0d, 0xa32ca1a0, 0x7b47edd6, 0x26013c38, 0xed65c18d, 0x117e047c, 0x2dfcd637, 0x9d514e18,
+    0x981ba089, 0xc5e4b35f, 0x6ca3b30a, 0x6e5c2de5, 0x23fe0bba, 0xb94a0112, 0x96aa1e89, 0xb504cdfd,
+    0x0fb86cfe, 0x29fe3b74, 0xeb4ee1b4, 0x348342ef, 0x5af91ccb, 0xdee3ca10, 0x8f0e8843, 0xa09a74c9,
+    0xe2c4569b, 0xbca271a2, 0xaab15123, 0xa39377b3, 0x5f516ad4, 0xbc7b8b87, 0xa4eb04df, 0x78b36f4e,
+    0x66550942, 0xd9d72511, 0xfd752d65, 0x83e628cf, 0x781984cf, 0x740e61f5, 0xc9b0a8d9, 0xc1381a2f,
+    0x0c76da2d, 0x367d7df3, 0xfb06e699, 0x7b4a9b14, 0xe4058e31, 0xd13ae4a7, 0xabe4088c, 0xb01a451b,
+    0x98c942cd, 0x5af16814, 0x167fce98, 0xe7494e98, 0x88e03455, 0xff2c3d5a, 0xdb118b59, 0x9bf1d155,
+    0xdaccd277, 0x772f080b, 0x054c336b, 0x1a7480d1, 0x1f86d728, 0x505f8b81, 0x3e37b051, 0x88d6e851,
+    0x4e12cf5e, 0xb25e415d, 0xcb21ab1d, 0xbdfda02a, 0x6d1eb003, 0xd977eab0, 0x6b2748ab, 0x212431ce,
+    0x3e82fad6, 0x9fc70a4b, 0x936e78f1, 0x6bfe715e, 0x2af80c4e, 0x4c3a69bd, 0xbf7036e5, 0x5cfa408f,
+    0xac90828e, 0xee6d9d38, 0x3f52373a, 0x8e39bdb3, 0x58cee9ff, 0x93dbe28d, 0xadbf66a7, 0x081a73b7,
+    0x7d668439, 0x65c543a3, 0xb1f729b2, 0xd17caf04, 0x2a23f01f, 0xdfe8ff79, 0x916f359c, 0xf2322c72,
+    0xe0bdb045, 0xb589ae94, 0xe093f8d2, 0x7049303b, 0x53cb87c6, 0x282c9df1, 0xc05396df, 0xcb8f3a04,
+    0x755fe066, 0xf981ac31, 0xa2c6d59a, 0x0e36cec4, 0x7569e962, 0x96d1c89e, 0xc61e7a60, 0x0ded0042,
+    0x9d5bec85, 0x03330791, 0xba94754e, 0x6563fed7, 0x7dceeb67, 0x4de445d3, 0xf655c7cb, 0x419f0ad7,
+    0x152bbf9d, 0x8a59028f, 0xf6b44c2f, 0x4abb9853, 0x16305371, 0x00fb897d, 0x0db0ba3a, 0x1ea2057e,
+    0xf247456f, 0x44a2cea4, 0x2e833220, 0xcb3d4057, 0xa277f9ab, 0x7aa00750, 0x21cd30b6, 0xb2abf201,
+    0xa59f02d6, 0x4f04015d, 0x7d223dcd, 0x25bc1f74, 0x3019efef, 0xcd0d3279, 0x04b0830a, 0x22c55b48,
+    0x8f8e4ad2, 0x50d3187e, 0xe2c821fd, 0x482d8d49, 0x0a3d3847, 0xfb78372c, 0xca433e21, 0x79761b7b,
+    0x6ef0224c, 0x743447cf, 0x7f07244b, 0x3c59805e, 0x4406c106, 0xecf80f54, 0x7d55bcd8, 0x580e0e74,
+    0x037655bf, 0xa4159756, 0x89e007bd, 0x77879d66, 0x711e1e5e, 0x712bc448, 0x374bc3bc, 0x4709e692,
+    0xa262f3cb, 0x0ec203f0, 0xdce5f14c, 0x521dc9eb, 0xefa69c29, 0xe1bb113c, 0xbe35eb4f, 0xb9e14b00,
+    0x070c3be9, 0x0534af70, 0x683e8972, 0xa0504359, 0x513bdd54, 0x63f544a4, 0xe7316691, 0xf99e5192,
+    0xe07c07bf, 0x99c22cb9, 0x57459b55, 0x73d82acd, 0xb3453022, 0x62ef560e, 0xf035fb33, 0xec82684e,
+    0x9146f577, 0xfbd4c796, 0xe457e631, 0x79ac4e65, 0x699eaed4, 0x9bc0b73c, 0xb74a5020, 0x913d1881,
+    0xcd655640, 0x1db7b0ef, 0x1e498ee2, 0x94d1608d, 0xecdb27af, 0x52e87704, 0xff45bf09, 0x661e0a42,
+    0x2317b1eb, 0xd4e091ee, 0x72aea619, 0x28627720, 0xeda5338d, 0xb90f0c83, 0xd6100c5a, 0x7b0524ff,
+    0x6bd082d3, 0xa2ecea71, 0xe455ae68, 0xf475a587, 0x68ea3b64, 0x773a5b4a, 0x4791b079, 0xc930ae37,
+    0x4d015160, 0xa40e4698, 0x51be6b30, 0xd191385f, 0x47396afc, 0x44810050, 0x99e557d0, 0x65514ce8,
+    0xad219ec5, 0x0b849dcd, 0xeddc1997, 0x1377adb4, 0xedfa053e, 0x2f96a796, 0xb8df28d7, 0x8a4257e3,
+    0xe432428d, 0xb5460663, 0x0cae4d0d, 0xca212ac0, 0xb21e792f, 0xdf2fa2be, 0xfe04db79, 0x1c39a70c,
+    0x37bff096, 0x58e9aac4, 0xa6b28b40, 0x8cf34d78, 0x2b85afbc, 0x95a678fa, 0x63731de3, 0x7c4a7429,
+    0xa337321a, 0x3836839c, 0xd684fbd0, 0x6965d515, 0x9e18f4ea, 0x901f7543, 0x70c6bc7a, 0xa0fdaa18,
+    0x2c55a547, 0x08a19fdd, 0x167afb4a, 0x4466b6b0, 0x6c632448, 0x43a56c86, 0x16aa018a, 0x1d55b2f3,
+    0x1c8f3c49, 0x0b880991, 0x15099959, 0x04acd900, 0xe99cc351, 0xf83e25dc, 0x0f4f3c34, 0x3059a16f,
+    0x99696e2e, 0x3f1eb412, 0x6c19aa38, 0xb7440db3, 0x175192e2, 0xdc7d6bea, 0x18c1764f, 0x87893826,
+    0x76609dce, 0x9b2898eb, 0xc3ab1e00, 0xb0b197e0, 0x07410618, 0x21a88a76, 0x42e36b8f, 0x52111494,
+    0xfab0cbb6, 0x656b03e6, 0xa6a0a227, 0xf40a6980, 0x01959a05, 0xa54c13fd, 0x7867b4ad, 0xd84f648c,
+    0xc1efc4c1, 0x4e391a1a, 0x83cda151, 0xf413527f, 0x5aaf5b8e, 0x7c937b7b, 0x163ea817, 0xfbe9e0af,
+    0x5ed8322b, 0x4e7130be, 0xf4db3c49, 0x14a03a2c, 0xb91c20f7, 0x088a8cd1, 0xdf615646, 0xda39afb8,
+    0x7d3b373a, 0xce4030f7, 0x38ad9dc2, 0x9b67acf4, 0x3d327041, 0x67a09a82, 0x4cae6b4e, 0xc6cef6f9,
+    0x581ec3ed, 0x628358bb, 0x4db4c196, 0x38d0ed38, 0x665ee366, 0xb3feddf2, 0x481b7c80, 0xb22e3556,
+    0x9652504f, 0x11a08755, 0xa5a8ad85, 0xc9c12261, 0xe91af03a, 0x661fc28f, 0xd67b24ca, 0x481355f4,
+    0x1ad966c8, 0xd9edbdc2, 0xdd508df7, 0xa35fa5d7, 0x5eb382c7, 0x5b541c65, 0x888c2e46, 0x389eb95b,
+    0x23dd85ff, 0xfdb6cc80, 0xc5fbb95a, 0x64a5e841, 0x3d095733, 0x7edc2555, 0xd43c650e, 0xb1996297,
+    0xb284dd37, 0x9a5acd04, 0x354bebb2, 0xb6082d7e, 0x42b76601, 0x81a39995, 0x541965f2, 0xd8cbdd49,
+    0x5ac65a02, 0x59a27b0c, 0xa4b83bf8, 0xf20df839, 0xfb487dc6, 0xac83dbbb, 0xab79f348, 0x72db9795,
+    0x90cb379e, 0xfc5126c6, 0x4de6e121, 0xac146bcc, 0xb839f06d, 0x1dbb6dfb, 0xf4c62254, 0x7e204b2b,
+    0xfb274224, 0xea9caf19, 0x480b3381, 0xb72df0ab, 0xfa87ef83, 0xea2be79a, 0xdcaa24b9, 0x6561e438,
+    0x5e8944c1, 0xe6888f4d, 0x7144beb7, 0x139b578f, 0x585a48be, 0xb056c868, 0x037d8d00, 0x6436ab8b,
+    0x5993e77e, 0xd4aedf4c, 0x404ccfa8, 0x1852bbf8, 0x05c8b947, 0x6310026e, 0xf7f093eb, 0xf64091a6,
+    0xff29b52b, 0xa6b116de, 0xdcaa11cb, 0x3a850867, 0xc9eaa10b, 0x5f2f30b0, 0x3438f15a, 0x07e0538e,
+    0x2629f611, 0x0c688824, 0xef40f964, 0xd536b35f, 0xaf72d7ac, 0xd775a13b, 0x662a6ca4, 0x2c743b8d,
+    0x7bda6350, 0x0eab8cca, 0xf00a7cc2, 0xe61dab16, 0x8fde7a58, 0x50d8eb57, 0x4970d5e4, 0x477d82cf,
+    0xe39581a6, 0x10ed9530, 0x895f75f1, 0x36c0205f, 0xc145eaf2, 0x82729cb0, 0xb5adf597, 0x7d2a88cd,
+    0xb18b3421, 0xd23c216b, 0xf4ed399c, 0x2d158e7f, 0xeac93ba4, 0xaa6c82be, 0x22ea4a07, 0x258bb2df,
+    0xf63e807f, 0x1cb98f77, 0x7681dac5, 0xbe3ff778, 0xa6f0c486, 0x5574b466, 0xa174992d, 0xa1b7794f,
+    0xfd68c618, 0x041813c4, 0xf49dde87, 0xa1d4263b, 0x39da5d54, 0xd01647f7, 0xa55a9faa, 0x0732f9c4,
+    0xbd946b44, 0xbd8bf6fc, 0x84f31d3a, 0xdb8cfc3d, 0x1720d424, 0x2361e52f, 0xa8218136, 0xe4dfb112,
+    0xf4562ba5, 0xd3c3dc2d, 0xc779bce4, 0xf2e429c2, 0xb3379e22, 0x0c191fdc, 0x19c6e735, 0xfcbd7ef5,
+    0x55041016, 0x73c47b6f, 0xc7a2341e, 0x9cc194ec, 0x6f318658, 0xaced51a1, 0x857afe9e, 0xaa4ae73c,
+    0x68d91746, 0x26da8580, 0xe85db86b, 0xdf6ad516, 0xc2a47800, 0xe2d5f2e8, 0x7f945edc, 0x30767660,
+    0x8297bc0b, 0xe51c950f, 0x9889a74c, 0x8f6efb05, 0xe7061fbe, 0xcbef6f04, 0xc15444c0, 0x65d310e8,
+    0x25fe7f85, 0x6ffc81e2, 0xa2ea1ecb, 0x9561a17a, 0xfaeac10a, 0x03c302b3, 0xb47cf6c7, 0xe3300b7c,
+    0x6dc3a2b7, 0x3ee31404, 0xc8250be1, 0x08731a34, 0x229f745d, 0x8e32fa11, 0x9fb26b17, 0xfa7d965a,
+    0xcf7f522c, 0xb7750eca, 0x63e1a67d, 0x77013c89, 0x26f03877, 0x11f08869, 0xa640898e, 0x65d93246,
+    0x8a40c043, 0xb4b619a8, 0xf37eb9d4, 0xe69ec194, 0x3783a6ee, 0x18c6e115, 0x7c3161b0, 0x1630cc19,
+    0x2d32fe89, 0xb3beded2, 0xeab32305, 0x8f628f5a, 0xa0174125, 0x60b15cd2, 0xb3283f75, 0xc7c50a20,
+    0x54993492, 0x0cb026d0, 0x90bd6340, 0xbf438649, 0x66352683, 0xa16c0a72, 0xcd5814d9, 0xb6f0a8c5,
+    0x68f06c77, 0x0c008ced, 0xd035d19b, 0x54e11c0f, 0x663d8cc3, 0x4792a8a7, 0xae414103, 0x4fac6604,
+    0x0ad1ece1, 0xc35c015c, 0x83cf3df5, 0x0a7105ea, 0xf83e6fba, 0x6a93b370, 0x90b4b045, 0x0996ae33,
+    0x1dfbbc5a, 0x22e9dfff, 0x56a9a72f, 0x94b4bab8, 0xc2b14ad7, 0x5568f9f7, 0xb314f8cb, 0xacac6257,
+    0x7b711c70, 0x5dfca7ce, 0xa1e89f8f, 0x921b481e, 0xa54ee4e9, 0x7903995e, 0xdf7456b9, 0x43739817,
+    0xddad68f4, 0x288d7a8b, 0xd2911454, 0xa1efb3e7, 0x460d7cf3, 0x9516429f, 0xd21250b1, 0x5ce14ac7,
+    0x2c04b18d, 0xd2ad0df3, 0x81b07b4a, 0xa0ed1f98, 0x10fc74e7, 0x8ded2ee9, 0x1e1369b0, 0xbf49c6ff,
+    0x49ad4bc8, 0xebee9492, 0xb610cfde, 0x931b3c59, 0x9c8fdba5, 0xd475110c, 0x60e817af, 0x3d7e83f9,
+    0xefd7aed9, 0xbed540c6, 0xe3f50f02, 0xdcbe3892, 0x601e3368, 0xb5fe73ef, 0xde6a8efe, 0x6b29ccc7,
+    0x5a270556, 0x6790720a, 0x38ecfaf3, 0xb1eba93d, 0x3b887917, 0x818f5529, 0xe0228627, 0x207cb35f,
+    0x58131aab, 0x39171720, 0xc7111759, 0xb10c29d1, 0x876d6043, 0x31fe1653, 0xaeec1cce, 0xa6ddb5b2,
+    0x6def9d50, 0x9662105f, 0x4bb00dd6, 0xbab9cc5a, 0x339d6d14, 0x14e713a0, 0x26ef8f58, 0xe58e5203,
+    0x9c8fbfb6, 0x23735ce8, 0x78cc2917, 0xc005866f, 0x3c144c27, 0x664f2880, 0xf2ea29de, 0x9ae4d3ca,
+    0x6c63f500, 0xb7d19eaf, 0x36e2d704, 0x6cfc8856, 0xb7cdc8a0, 0xe642b83a, 0xdc2ac06c, 0x39000af1,
+    0x7ad4e1f7, 0xe5d261d1, 0x98c3b406, 0x417ed6c7, 0xef59f6bb, 0xe1b50245, 0x9fa28662, 0x810ad2f3,
+    0x28d5ab5e, 0x66d29ba7, 0xdbd7d902, 0x1d7a475d, 0x30221a50, 0xe166ea30, 0xbb15e2b0, 0x7082381e,
+    0xf00aa17e, 0xfb324396, 0x07c295a7, 0x4fed4b8d, 0xc7c8cad9, 0x7eda02c7, 0x522622e1, 0xba3ce4af,
+    0x9605fcd3, 0xdf8eaa69, 0x0cf8636d, 0x3bce6f21, 0xe2f51f4c, 0xcbc7307e, 0x2e5ab6b7, 0xf2712189,
+    0x76ab5a0b, 0xb315d3d3, 0x02efc444, 0x0c4e7a64, 0x5bdac307, 0xa18d017c, 0xf6ace4c5, 0xae37a06a,
+    0x544dd5da, 0x2942e531, 0x2ff7a118, 0x95ff0f67, 0x52e29560, 0xd4d7de24, 0xe613e5e4, 0x033475f0,
+    0xde643809, 0xd5d84174, 0xe201e2a9, 0xbc753917, 0xb1965d99, 0x96f7a4c7, 0x67dbf682, 0xf09d849a,
+    0x921b7e57, 0x44ddc691, 0xac768a6a, 0xf39eb89b, 0x92e03e43, 0x9653d42e, 0xa0331be7, 0xfad0d1c3,
+    0x564bf738, 0x379d8372, 0xa0302691, 0xef11d9e3, 0x1e7a3dea, 0xb10401e2, 0xb47cf1d1, 0x6c416efc,
+    0xa647325f, 0xf7665007, 0x724772f9, 0xf6c4021e, 0x009e4221, 0xd12889a6, 0x26038f28, 0xcf0d18aa,
+    0xa786842c, 0xea448a37, 0xf877c309, 0x7bfe0140, 0x00f78ed0, 0x7662cbf4, 0xe8d857a7, 0x04895437,
+    0x5c199127, 0x951f813e, 0x25230a1f, 0x5e405a91, 0xd4e7635b, 0xad09ab0d, 0x9e563314, 0x69289db4,
+    0xea14304b, 0x03d50202, 0x2e4bff07, 0x8e862477, 0x08f02e69, 0x64e5fa77, 0xfc9e6f15, 0x6f2bc530,
+    0x715ba06e, 0x40e5c72f, 0x6d1bb04b, 0x4251d72d, 0x8f868071, 0xe0e6f993, 0xdbf22e31, 0xdfd92514,
+    0xa51846ef, 0x7f5a2fff, 0xc2042f29, 0x73affaa6, 0x257d658d, 0x8825679c, 0xb668c701, 0xdb4411b1,
+    0x967758f6, 0xb5278d7d, 0x4d29a8f4, 0xbf63ea3c, 0x0ae68709, 0x271b5dab, 0xb2acbbee, 0x652205f6,
+    0x897b52a7, 0xd100c1ce, 0x2c29d10e, 0xf5446113, 0x7f9ea9d4, 0x3d59b267, 0x5d03305c, 0x4866f1b1,
+    0x2231b668, 0x252c4737, 0xd4808fec, 0x796bde7b, 0x29efe652, 0x52a0fc46, 0x959bac07, 0xc892e12c,
+    0x8d3b47c6, 0xf9e75698, 0x84f757d4, 0x46d5289f, 0x2d544ecb, 0xf9089438, 0x0b8bc0f2, 0xe5e74076,
+    0x0503019c, 0x3b44227f, 0xef8c4794, 0xe888933b, 0x6d431dd5, 0xe1948e15, 0xe678a28b, 0xc8642815,
+    0x59f04dcb, 0x598f3b75, 0xe9316b0a, 0x114a09b6, 0x34459b39, 0x4748c7f1, 0x349d868d, 0x7430ccac,
+    0xc098d7a1, 0x74b6e3b4, 0x5ada3abd, 0x72a7a906, 0x57c3ac6b, 0xa35b6aa7, 0x2c74b3a5, 0x16c5e985,
+    0x324d3970, 0xd50bc458, 0xa782a88e, 0xb77edc82, 0xa345c70f, 0x46b73629, 0xd62b48f9, 0x371d40f8,
+    0xb59f6c00, 0xa734f0e0, 0x733f79e2, 0x804eb697, 0xe21f967a, 0x155751a0, 0x079cfe4c, 0xc9c9c12e,
+    0x080084b3, 0xe30ea018, 0xd52010f9, 0x79105846, 0x7a1766b9, 0xa1882d9f, 0x67e351fa, 0xce39e542,
+    0x54d8b6d7, 0xb85e48a6, 0x740b62bc, 0xf0a72440, 0xdeee9847, 0x2c90ea71, 0x157c24bc, 0x03f45f96,
+    0x09aac144, 0x3ff11d62, 0x57135f16, 0xf9f94164, 0x28358988, 0x7057b39e, 0x7d4ee451, 0xfe54ca83,
+    0xbf3baba8, 0x3e557049, 0xb281135c, 0x17b5ca7b, 0x76b543b1, 0x9263433d, 0x7002d1b0, 0x7fc824b8,
+    0xc0d955bf, 0xb7d62cc8, 0x0467c9a3, 0xc021151a, 0x1851d0dd, 0xf4e40080, 0x4bfb6c61, 0xbdda79df,
+    0x7a113554, 0xa8dd68b8, 0xab9a7093, 0x1ae30a00, 0xa485c6db, 0x00097b0f, 0xe1df0015, 0x59a8fd91,
+    0xb8b6da75, 0x8d1754bd, 0xdaea4a59, 0x5ae7aed7, 0x1741c32f, 0x0494ac05, 0xc6e75d4e, 0x768c3ff4,
+    0x8314ac43, 0xe8403de3, 0xabde11db, 0xc524039c, 0xcb4b910e, 0xf0b23d1a, 0x1b4fb726, 0xead8520a,
+    0x4a071a72, 0xe25105aa, 0x1be18ba8, 0x5b3c91fe, 0x52e6e0d1, 0x663da2fe, 0x47b07eca, 0x82af91d7,
+    0x4c4442ec, 0x76f3661a, 0xe057b23e, 0x7bc6d925, 0xc813f90b, 0xdf0c599d, 0x73e53f2d, 0xff3ce56e,
+    0x22e89875, 0xdf8c28dc, 0xa662ae2f, 0xcab23cc9, 0x1b5a7d82, 0xc099c247, 0x3eec24b3, 0xa49696ec,
+    0x6bd2dc26, 0xa1d31d47, 0x143b00b9, 0x5021f14c, 0x42214be6, 0x16fe7119, 0x0b80fc29, 0xa35c8798,
+    0x00000000,
+    0x497d56c6, 0xaa3e747c, 0xca1fbd3b, 0xcf0b3a0c, 0x6d590105, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2,
+    0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000011742712913869166139447402983946\
+                         68513687841274454159935353645485766104512557304221731849499192384351515967488 */
+  { 0x00000000,
+    0xa9a82be3, 0x41182f11, 0xba29240c, 0xddef287e, 0xd6acccfe, 0x1f383e19, 0x8893b500, 0xa55a2848,
+    0x8595d4fd, 0x51507673, 0x794fdeae, 0xe6c902ef, 0x09b6a4e3, 0x3428addf, 0x5a5333e1, 0x1a4a50ff,
+    0x20a35c7d, 0x58fa2828, 0x87b4921a, 0xde5b84ab, 0x340be18e, 0xdb38a79d, 0x2954b48f, 0xc2ee2436,
+    0x0f7cde7c, 0x84079353, 0x840c5ab9, 0x6f84562f, 0xd92068e0, 0x19486dc4, 0x69f25a80, 0x1a8226dd,
+    0x714938eb, 0x93aa222c, 0x669311c3, 0x5555c033, 0xee88b923, 0xa9544a27, 0x01224190, 0xbd0e8e8e,
+    0x25f84c72, 0x619bb8c5, 0xe72b4c9c, 0xef49781d, 0x8e35bd6d, 0x2f2efdee, 0x0c7778c1, 0xd02d4360,
+    0x4c9f781e, 0x4cb8b52a, 0x8d54986a, 0xdf95d3d2, 0x8059c73b, 0x5f22c948, 0x7ff3b814, 0x4c263117,
+    0xfabbf729, 0x1e483272, 0xfca3601f, 0x69ead841, 0x07fa10d5, 0x533452bb, 0xd27c1117, 0x7d5cd5ed,
+    0xbc524bee, 0xaafcc8c1, 0xaaaaadf5, 0x697e3913, 0x80fbddc0, 0xe45e1051, 0xc2586f6e, 0xa858bd48,
+    0x71d99f7b, 0x5bbab17d, 0xe0b5e0b8, 0x53ee8abe, 0x8a7aee38, 0xad6a6c41, 0xa6956f71, 0xcadfa549,
+    0xade33d97, 0xff4a19c8, 0xc93a14b6, 0xcc62cd03, 0xe5c14f15, 0xfe84164b, 0x6cde4a8b, 0xeb781d31,
+    0x6d6d70f7, 0x1bab3366, 0xdf8bdc72, 0xe50d490d, 0x4c1e2d0f, 0x69bdf04d, 0x44a4fcce, 0x892bfb33,
+    0x11efb1fb, 0x83919a80, 0xb3c85caf, 0xde0b2122, 0x6fb1d55b, 0xce021c9b, 0xbe3cad26, 0x6a5308ae,
+    0x35444a65, 0x44e03031, 0x31077b45, 0x3be7597b, 0x0ae50240, 0xafd8db17, 0x3c9f2569, 0x8e26c737,
+    0x3914144d, 0x58aa5289, 0xa17232db, 0x22a3fc24, 0x139fb6be, 0xf5df7360, 0x62ca808e, 0x18a954c0,
+    0xdf8da4d8, 0x6a1a0ebb, 0x0aa75658, 0x8dac44b5, 0x5d36f475, 0xf31461e5, 0x1249e9a5, 0x5dc4eab3,
+    0xd9aca0fe, 0x429100ef, 0x0d3b1274, 0x2678f87c, 0x869f0d79, 0x2038901e, 0x3699f105, 0x730a7370,
+    0x68dc3b1c, 0xcc934929, 0x5c68dd5e, 0xa917834c, 0x13272fce, 0x222a9449, 0x5f9f6e0f, 0x044078a6,
+    0x89036dc9, 0x32118815, 0xf76368fa, 0x2bf0b6d6, 0xc03bb922, 0xc1cc1588, 0xb130dd92, 0xe7de1912,
+    0x47cbe960, 0x8bfadbb9, 0x04a496ba, 0xc0554912, 0x9380ab35, 0x722a9804, 0xc0fad266, 0x63cb2d52,
+    0xfb346bd4, 0xae980492, 0x169f6b57, 0x27712feb, 0xda3301ab, 0x14216a24, 0x8684d916, 0x480e11e7,
+    0xac6fddb0, 0x3ddaab79, 0x6e301ba3, 0x36b4d888, 0xa2510d1e, 0x29ec69af, 0xd2743812, 0xedec26fe,
+    0xa0ad3f89, 0xae53ebbe, 0x985087f8, 0xfe3d879f, 0x57710cf6, 0xf49a2522, 0x47b126bc, 0x46088c0a,
+    0x05fd3116, 0xdc6314b8, 0xfbe78075, 0xb2a5d187, 0xd103f228, 0x436287b9, 0xa4674fbe, 0x9a2993f6,
+    0x09b7c2b0, 0x71204f3d, 0x58d6c795, 0x2ac41a0a, 0xdfa4fcf6, 0xca3cd5fa, 0xc2993c04, 0x4ecd4851,
+    0xa005eff4, 0xf507b504, 0x0bc540a8, 0xf629875e, 0x7fd137da, 0x28fe82e4, 0x6b756985, 0xfb22f32a,
+    0xf9cb3ba9, 0xa7974fd9, 0x796865e1, 0x97e8c757, 0x65664739, 0x832c2abf, 0x674de761, 0x3bc462e8,
+    0x296ec6f6, 0x1b8dd486, 0x841d46b9, 0x9fcae21b, 0xd8d0d98c, 0x517ebb0f, 0xae60b6a5, 0x2852b3d4,
+    0x7a7b3c7c, 0x124c5390, 0xe87c7369, 0x489b06cf, 0x2d18a967, 0xc7c31056, 0x150f34cb, 0x7594de51,
+    0xa271d83a, 0x196c6217, 0x463402e5, 0x7fc83475, 0x23bf8396, 0x8e0148d6, 0x93aae371, 0x8e07d047,
+    0xdfe91668, 0x9381ec68, 0x46b78f36, 0xd2fd3ee2, 0x0a546b3d, 0x859dd5be, 0xd670d043, 0xfc455b8e,
+    0xddc27649, 0x05c90d2b, 0xe40b4a60, 0xc22718d7, 0x17b24fe9, 0xa42b6543, 0x2611e236, 0xd1708fea,
+    0xdefca0ad, 0xb2c078be, 0x09e26eeb, 0xc4e28a4f, 0xe9eda11c, 0x5dd84150, 0xc50803a6, 0x17669188,
+    0x67858fc7, 0xc9b5efb6, 0xa5dd8953, 0x8eaf206b, 0x942d5040, 0x432cf0ea, 0xd7ea3269, 0x3db8125f,
+    0x563e1097, 0xd1f693be, 0xda97bed0, 0xce98c734, 0xd84e1fa6, 0x3616fd39, 0xebf6b522, 0xc2bbdd80,
+    0x1958c011, 0x07775aa2, 0x047422fe, 0x817dabd0, 0xf4895bbf, 0x676a7a40, 0x650361b5, 0xc977f89b,
+    0xeb7f8684, 0x166f0c87, 0xef86cc3e, 0xe8676b09, 0x448fef64, 0x59d09d44, 0x650ba5e1, 0x43a86b8f,
+    0x0cef84cc, 0x16dfbabe, 0x424874e6, 0x11860e9a, 0x3aafa112, 0x7e97856b, 0x0419bc01, 0xef22d262,
+    0x368e6517, 0xe9fd3295, 0xa7c68d15, 0x32fbd8b2, 0xfbfb6869, 0xc97370db, 0x46e43ce8, 0x9193c957,
+    0xbeb03d2e, 0x51817718, 0x6a91444f, 0x1a2eb60d, 0x3da9caa1, 0x0fa1436f, 0xf01fed63, 0x5c1e2d8e,
+    0xead8bfb2, 0x376ee403, 0x331a0f05, 0x808316b1, 0x9308eeba, 0xfeb5f680, 0x031defd3, 0x84751d7d,
+    0x78a8b482, 0x80480638, 0x86a59b9a, 0xa249052d, 0x885491ad, 0x3ad04efb, 0x6d2611d4, 0xd905eae2,
+    0x3b610857, 0x5bf25fc5, 0x845ec96e, 0x19010690, 0x495096ef, 0xb735e34d, 0xba313456, 0xe9e20776,
+    0x3d91867d, 0xdab0c369, 0xd37667f2, 0xec58aaac, 0xd3d1cfa5, 0x4e83834a, 0xc30c3a69, 0xf504832e,
+    0x1527ed43, 0x49ead775, 0x3ce26787, 0x24104549, 0x0737ae5e, 0x7aa0115c, 0x3fbd60d0, 0xe223d32e,
+    0x8c18a74e, 0xc41aa91d, 0x9a1a9328, 0xfd5301c8, 0x7df425c2, 0x9d41ae6b, 0xa621fd1a, 0xfb0b9811,
+    0x89e29eec, 0x39b4a535, 0xab589b29, 0xbca273d9, 0xd70105e2, 0x3f6d5d25, 0x2effb7ba, 0x5b76ff40,
+    0x6bd5d52d, 0xad080663, 0xeebc7886, 0xff8f758a, 0xb8e75f3c, 0x94de7bd4, 0x49303a3b, 0x09bd5486,
+    0xb16564bc, 0xa0d6e4a5, 0xcb677457, 0x3a2f6fed, 0xbb46c166, 0x0682dde4, 0x688954b2, 0x8bd014a5,
+    0xee8d0393, 0x4c39683c, 0xa0731499, 0xff60fbef, 0x6b39b854, 0x27aad0fe, 0x8cc0b318, 0x87404024,
+    0x4c4eef1f, 0x764f7d72, 0x7e30d488, 0x04871927, 0xed112933, 0x39f52788, 0xa9dcd226, 0x6c0eedc5,
+    0x2b93f887, 0xdbbd06b7, 0x75ce6486, 0xde16d12a, 0xcc3fb10e, 0x7d5ae5fc, 0x2f99526b, 0x7230a9e9,
+    0x71269bc6, 0x137426dd, 0xd8fd2dcd, 0x46452a87, 0xe323da5b, 0x1deb9fcc, 0x3948d194, 0x226f2f73,
+    0x244506b7, 0xbc6717ae, 0x66648223, 0x6e962239, 0x71ab2551, 0xad5d12d6, 0xa119adbe, 0x0f63b5c2,
+    0xbf9e09c3, 0x8b5c8b63, 0x68f57e03, 0x21f6dc69, 0xf6846654, 0x07e09d04, 0xf41f3a09, 0xe9d85216,
+    0xe55d1343, 0xd33d8be4, 0xb69971da, 0x5206d5f8, 0x6faabd40, 0xb5128353, 0x5d95b116, 0x72fe1985,
+    0x3044080a, 0xa5ba9591, 0x5aca89d2, 0x9f229355, 0x36a98663, 0x633fcb00, 0x07ebe713, 0xed755ba7,
+    0xb62f5555, 0x8ee1c5db, 0x1507f349, 0xf42a0dfe, 0x72d51237, 0x59490163, 0x19e86b1d, 0x85d2a634,
+    0x4b6920b7, 0xc8f9c668, 0xdb0d6951, 0x7a64cca1, 0x502c9a66, 0x6cf12dc2, 0xe85ee37f, 0x6abaa437,
+    0xe1b6895d, 0x3ec4f5bc, 0xa0eee768, 0x66fb3a91, 0xf48d9923, 0x20b8ec4c, 0x7072225d, 0xe44626cf,
+    0x92f51c4e, 0x4fdfbf56, 0xe3cd6152, 0x3607a303, 0x786bf139, 0xab74a89c, 0x1d9afb01, 0xff51eeb3,
+    0x8ea7b975, 0xd88b160b, 0x8eeec11c, 0x4c23d430, 0x22e8d240, 0x4c395e26, 0x1949c7e1, 0x5a59d55e,
+    0x70cc9d1a, 0xbc91968b, 0xe8473d15, 0xb1965e30, 0x42436ba4, 0x91647b2e, 0xe49a8de8, 0xac4273e9,
+    0x215f2d9e, 0x17093e1d, 0x2d743221, 0xa96c3f8b, 0xb4e3cbd8, 0xd9d8cf60, 0xca08433b, 0xa8f8c3da,
+    0xc4ed7888, 0xb7dbf9b9, 0x63b6ec3e, 0x767791b2, 0x42b221ac, 0x3ff62693, 0x3e8fa665, 0xe84f29bd,
+    0xb9c07680, 0x554cff6e, 0x1a72f369, 0xcaa22984, 0x90cc483e, 0xb6f9fecd, 0x5a447e70, 0x18601fb7,
+    0x258e1a00, 0xd0092a7c, 0x472088f3, 0xc2d330fe, 0x613edb16, 0xf3cb892b, 0xd91fe7a6, 0x0dd7d954,
+    0x76136ea0, 0x75f45021, 0x910193d4, 0xad1531e7, 0x668ef69d, 0xaf8b49d9, 0x5734a831, 0xa9e07ce3,
+    0x7a4c5c84, 0x77ca191c, 0x45f4aa86, 0xbead6905, 0xaefca013, 0x490b3654, 0x40e5882f, 0xe977aeeb,
+    0x43fa4146, 0x5ebd498b, 0x7c217da0, 0xc222073d, 0x25f9eb66, 0x6ad6baa6, 0x6e77c101, 0x5777624e,
+    0x4e1e635f, 0xb2494689, 0x5bfeaac8, 0xad775dab, 0xf3696035, 0x338b159f, 0xe8301bf5, 0xe3ffffcc,
+    0xdfc326b9, 0xd2afa91b, 0x1c37a7b1, 0x924adbb5, 0x88db4456, 0x54659019, 0x30d95a97, 0xf3445d8d,
+    0x0f81da05, 0xcad53704, 0x7baae584, 0xa4251b58, 0x14c0ffd3, 0xb7c7faf1, 0x92c74282, 0xe471d4b2,
+    0x7f27d071, 0x8ae54ece, 0x44cdb2c7, 0x5f083ce9, 0xafcf55cc, 0xd9a428ae, 0x4a1d9eea, 0xfd472d65,
+    0x858997db, 0x716f1477, 0x0f801a84, 0xc590aecb, 0xa46a5a32, 0xb5a07b3a, 0x80823085, 0xe40ac3d8,
+    0x159b8174, 0x2c405500, 0xa4104bfe, 0x4cdac840, 0x410579ba, 0x3167d7c9, 0x68e8f181, 0x4751126c,
+    0xd5ffc112, 0x5b7b4792, 0x4b0d3f1e, 0x82d3907c, 0x93d81b8a, 0x834ebba0, 0xda6b0fda, 0xba6ffeb5,
+    0x3a656180, 0x4b6a0a06, 0x3e47abce, 0x2598c26d, 0xd819be76, 0x71448ccb, 0x1ab27519, 0x70650007,
+    0xb0882640, 0x76931014, 0x291ff065, 0x68c49c08, 0x7169b404, 0x333cd357, 0x71aeef7f, 0x18c2e975,
+    0x87e0eaab, 0xdf0c4e37, 0xf7c33b63, 0xe0553967, 0x00f14a51, 0x4bdfac0f, 0x81acca6f, 0x87782cbb,
+    0x0c627156, 0xa2cbe993, 0x9be1f972, 0x85df0a7c, 0xa38d382f, 0xbe5342cb, 0x8adea7be, 0x83b4fc10,
+    0xc01f768a, 0x74353aca, 0xc0ded0c0, 0xcacefb2a, 0x1ec7daef, 0xc1321806, 0x1a914d53, 0x3ee5afd5,
+    0x50e4f260, 0xeb3ba4fd, 0x8e158d71, 0xeec78d18, 0xc6bffbd6, 0x29ea63e6, 0xcbfcc4f4, 0x95ab0d55,
+    0x87123b42, 0x60050c86, 0x4233e701, 0x8253255d, 0x23906f4e, 0x4dae69e3, 0xf48a0d72, 0x6eac1757,
+    0x3a2c241c, 0x3f9999de, 0x3577526f, 0x0498bc52, 0x7c455800, 0xe9cee085, 0xa7eab3f7, 0x93823573,
+    0x25342897, 0xf6f33aa0, 0x2e77fadc, 0x5c4ed0ed, 0x0efcda05, 0xe0d25afc, 0x47433d84, 0xbd54939f,
+    0xf7323793, 0x7b19020e, 0xb496f058, 0xb6e46c67, 0x92268bf1, 0xf1ed839e, 0x18bba9ef, 0xd975a884,
+    0x6109c332, 0x36e30e4d, 0x5f57ba15, 0x872f689a, 0x0c5b4722, 0xa6bb513b, 0x784b1779, 0xc147fdd3,
+    0x2200c5e8, 0x941e9310, 0x6f8f5d86, 0x5bf3e199, 0xdef47f3c, 0x4818bd10, 0x0415be4b, 0x225f9de4,
+    0x565b9dfb, 0xa1eaa38b, 0xd633f389, 0x45f021aa, 0xf12a89e9, 0x4cc3d947, 0x58d4cc79, 0x6d2311a6,
+    0x945661c7, 0x84224c5a, 0xe12e90cc, 0x3876aeff, 0x44c0486e, 0x1fcc42db, 0x793543b3, 0x39c85c27,
+    0xaf4e56e1, 0x80df9854, 0xd07d932c, 0x5deb7dfd, 0x1dc164aa, 0x2e1908df, 0x0d6ceda0, 0x35236563,
+    0x62a283a5, 0x82703567, 0xf87a9e9c, 0xdc927fed, 0xbb008a88, 0x1eac496a, 0x41f12600, 0xf55d3fe1,
+    0x65f2b4ed, 0xfa4716bb, 0x34bc7698, 0x8331f597, 0x6f1a7f1b, 0xd1395308, 0xfc0eaa23, 0xccf0a044,
+    0x19f81b00, 0x10669cd0, 0x6ba5cdd9, 0x9549a763, 0x5520d428, 0x8766a80e, 0xde123ecc, 0x6ae9956a,
+    0x438b8999, 0x8c7a78d0, 0x9337e3a5, 0x9cab4b4c, 0x4cdd672b, 0x623f13a2, 0x433242be, 0xfbf4b555,
+    0x2db43626, 0xa6c31137, 0xd37d8327, 0x0b1d791c, 0xa26efb0e, 0x86367fe9, 0x78708a3f, 0xe7f61042,
+    0x2eff34d8, 0x83ae3935, 0x1bed2440, 0x2a01f655, 0xdf339b5c, 0xb1546a62, 0xb3dea0a8, 0x96c1d76c,
+    0x184ac391, 0x63879560, 0x6e8aee7a, 0xb75d0050, 0x0eb1366b, 0x520df560, 0xe0618745, 0x89771c25,
+    0xcebee512, 0x39403149, 0x31428f81, 0x186c1eac, 0xe77d59c2, 0x6f7c952d, 0x7be83ac8, 0xce5b8314,
+    0x52472e76, 0x4835cdba, 0x1a6ec0c4, 0xb2f7517d, 0x7af00d45, 0x13b80372, 0x2afa4328, 0x676a9d7e,
+    0xbc612f41, 0xea18cb25, 0x47d925b6, 0x77a065e2, 0x8fe65f00, 0x0416b53a, 0x9b305e70, 0x061e722f,
+    0xeb983219, 0x7e9339d9, 0xe8792691, 0x29714a6f, 0xa38887f0, 0xc42a3fbd, 0x761c2586, 0x32613b23,
+    0xc42bb315, 0x572a6372, 0xc5d8d882, 0x78c8bf36, 0xea96a59d, 0x22c44785, 0x4cf92696, 0xc528129a,
+    0xdb9a6b3b, 0x5b06e316, 0xf2d339aa, 0x00cd3435, 0xd4b82131, 0x7eb84e94, 0x6bd6c0c3, 0x60877b62,
+    0xdf00621a, 0xe0d2d5d4, 0x9cfd1e51, 0xffc9e5ed, 0x92868dc5, 0xfab29783, 0x8ffac920, 0x7ccf78e4,
+    0xcddad143, 0x18ab8cc4, 0xe767c752, 0xf9d19e7f, 0x504bd959, 0x5d933fca, 0x5277e457, 0x4d0a9a61,
+    0x531a1bbd, 0xa37c28b6, 0x9c2f5499, 0x618e78a4, 0xd8ac36ab, 0x5200ba1b, 0x947b3ab0, 0x1947d84d,
+    0x19a97f9f, 0xc4b49f4f, 0x8f95a9a5, 0x00ee9289, 0x5194ecca, 0xa3d5329c, 0x054e840e, 0xbc073920,
+    0x8739d4a8, 0xa29426ad, 0x41a16fba, 0x485150d0, 0x5e5d0a5a, 0x824322da, 0xc22ce74a, 0xfde58ab1,
+    0xf33b07e5, 0xd2c58505, 0xec23f615, 0x9019729f, 0x28ea47bc, 0x7f53470f, 0xae7e7177, 0x45dd54bb,
+    0xb9b57ed3, 0x68694948, 0xed10f9bb, 0x90f76249, 0x520e80db, 0x2df2618e, 0x24211b2d, 0xd414e7dc,
+    0xa64cf97a, 0x17805848, 0x91251f8d, 0xf4e9a7a8, 0x6c5cc8dd, 0x2fc28eb3, 0xbcdfa513, 0xbae0206c,
+    0xbfa4d024, 0x8bb0d4ec, 0xb09e2725, 0x14507668, 0xc20f46b7, 0xf86df405, 0xd1b8617d, 0x7bb87f50,
+    0xb5e766da, 0xa22b38cb, 0xd0655039, 0xd6b44243, 0xa84b9a17, 0x0b1546ec, 0x85e6b2d6, 0xc7ba9483,
+    0xf5428dfa, 0xe7b7b327, 0x93f86e80, 0xd74759a5, 0x80a247d8, 0xc91de133, 0x27a85cd2, 0x42d98c29,
+    0x2a566595, 0xdde9c8c6, 0xbc075141, 0x61409ebd, 0x0efc022d, 0x299be047, 0x6c8b24a2, 0xee5945bc,
+    0xa252c258, 0xc0df5e9a, 0x5efef397, 0xf37a974b, 0xa1ddff09, 0xfcbf49f4, 0x6a29847c, 0x4806d648,
+    0x98f9f66f, 0xd0ac12ea, 0xbd6bde28, 0x67599f83, 0xdb1d852d, 0x185f8cfe, 0xdb3405ac, 0x5e15a845,
+    0x966c62ee, 0x26e218ce, 0xbd5d56d1, 0x7209b1e7, 0xd75b8fbd, 0xbe027b6e, 0x6fa66d86, 0x770903d1,
+    0xad43726f, 0xc2de3d49, 0x65a42bae, 0xbf3369b4, 0x9358297a, 0xd1737ae9, 0xc1a09e71, 0x1a263eed,
+    0x2b4a7087, 0xf3b660a2, 0x845b0147, 0x0788fe10, 0x5e46c626, 0xa6200f32, 0x45f0b1ef, 0xc5bc8a00,
+    0xe3157244, 0xa42f7073, 0xf5fad0dc, 0xeee78809, 0x670dc483, 0xace81ba8, 0x366c4b39, 0x1d6621f6,
+    0x5cee97e7, 0x25505739, 0x951fedad, 0x6b7a9696, 0x92c8eab5, 0x26f4230e, 0x7898bd69, 0x708e887c,
+    0x34e03f03, 0x5a52271f, 0xe94e0393, 0x3990be2b, 0x10148436, 0xc8907032, 0x4d2a9bc5, 0x168f9cc5,
+    0xd542cb6a, 0x44c481ed, 0x6baa92b9, 0x8d5abe91, 0x633bcb6f, 0x78822aac, 0xd037a34b, 0xcc802ccf,
+    0x00000000,
+    0x24beab62, 0xd51f3a3e, 0x650fde9d, 0xe7859d06, 0xb6ac8082, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9,
+    0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000005871356456934583069723701491973\
+                         34256843920637227079967676822742883052256278652110865924749596192175757983744 */
+  { 0x00000000,
+    0x827b55bf, 0x05e4772a, 0x8ce962ce, 0x18c320a6, 0x8caff983, 0x2a12195c, 0xf6cc08b0, 0xaccbc5bf,
+    0x5f573a40, 0xd9aae8f7, 0x518e12cb, 0xf33b709c, 0x41341383, 0x8c7b793e, 0xbd912833, 0x1383ab40,
+    0xbd4ed6a1, 0xd73c0ec9, 0xfe6061cd, 0x17c74882, 0x56a8479a, 0x9081218d, 0xfce1679c, 0x01d0fa4e,
+    0x7138503e, 0x0d1388b1, 0x6266b3c1, 0xeaf75fc1, 0xb4e64249, 0x15e10038, 0x9d5a018f, 0xfe8a3136,
+    0x7fefb68e, 0xe0d3a90b, 0xc313cadd, 0x31ec1b50, 0x0433e08f, 0x40248afe, 0x35eb4878, 0x55445f10,
+    0x76456a0b, 0x9ad30e95, 0x289a8908, 0x739de200, 0xda94bb2a, 0xa6d0f4f0, 0x167223ce, 0x17eeab9c,
+    0xed3914fa, 0xfed43c60, 0x62bbc0e4, 0xa8a9bcc4, 0x2f7e2a13, 0x207e7c24, 0xb1a86ca1, 0xa5d8703e,
+    0x6220d62b, 0xb725fac1, 0xb1a8a4a0, 0x208d4280, 0x6529952d, 0xc0ca17e9, 0xa8e60e8f, 0xd232f773,
+    0x92d003cc, 0x6f704074, 0xb1fa4482, 0xabeafc74, 0x30bb27b5, 0x6285c1fe, 0x6c4f8438, 0x6e710a3b,
+    0xe237001c, 0x63a79528, 0x92af1664, 0xc1d1b781, 0x1dc51607, 0xb760a73c, 0x6af51546, 0x72882ddd,
+    0x7ba1b874, 0x05b3b09f, 0x36c6e42f, 0xa7a016ea, 0xcd44043d, 0x3e58e816, 0xbb40df71, 0x4842d296,
+    0x1de68816, 0x361d8810, 0x1203d75a, 0x57de7573, 0x098ca093, 0xe6690044, 0xbc052ede, 0x84c767de,
+    0xa53c0f32, 0x458186c9, 0x204b3d51, 0xfed75c88, 0x45e62936, 0x4e6f6179, 0x0768ad46, 0x093d10c8,
+    0xebf3c21d, 0x1c1ee8d9, 0xafb50aaa, 0xd2599f4f, 0xca148700, 0x99106ae9, 0xdc4b1df3, 0x4226e03d,
+    0x9c119bfe, 0x82a5d435, 0x2cdadd17, 0xcebaabae, 0xd92b4687, 0x5b4351bd, 0xde697221, 0x315e749e,
+    0x1364318e, 0x00772bad, 0xbc42654e, 0xee2f3aec, 0xcbca23e0, 0x0cb9596a, 0x2f1ae913, 0x1aa26711,
+    0xb77120e4, 0x1a08cf97, 0xa6cdb93b, 0xbc7821a5, 0x707f2e67, 0x1550ddb6, 0xf8c7a03a, 0x41ab56f7,
+    0xa9d20475, 0xb3471f6a, 0x2b98cc00, 0x000937ef, 0x812cbf3d, 0xaf41cb63, 0xa92543e6, 0x4842adfd,
+    0xabfebec5, 0x7decca24, 0x61efbbef, 0x0307c6c7, 0xc7972f85, 0x0a2c63f1, 0x9fb624f9, 0x71ddcbb8,
+    0xaaa347f4, 0x28a1a9ba, 0xea350988, 0xb5027374, 0xf5279135, 0x4e25302f, 0x73b1aa81, 0x7618d941,
+    0x70e9d67f, 0x1dda354d, 0xd0430337, 0xb2eda1d0, 0xd425ff6d, 0x6ab6b530, 0x77f59bdc, 0x21ea2c16,
+    0x5f42a27e, 0x37043cc1, 0x72f84240, 0x453f9c33, 0xad379c12, 0x585b5070, 0x65d4a844, 0x45dbb19c,
+    0x56a63220, 0xe61e375b, 0x00423ccf, 0x0ca65386, 0xa294e84a, 0x18f7dd06, 0x2ecc4d65, 0x5985ee85,
+    0x1765961a, 0x579aaed1, 0x71f47ef5, 0x2e05f81a, 0x33c9fb3f, 0x2267b1e1, 0xbdeea599, 0x3611ad8c,
+    0x5e450784, 0x4062821a, 0x89f05ef1, 0x085c32fc, 0x97a6ec4b, 0x2ff03f24, 0x01f7aaec, 0x94fe9e6d,
+    0x138c0d1c, 0x74f1f642, 0x57e257ef, 0x2654da58, 0xcc22af58, 0x32a1ea5b, 0x079b8b9d, 0xde951978,
+    0x9ba0f8c4, 0xc4245d0d, 0xe87ff2ea, 0xcb743df0, 0x12a33c7a, 0x56b634d3, 0x051afdee, 0x2d82b0c7,
+    0x68fcbfd0, 0x52306bb0, 0x223a3e13, 0x5b3b97be, 0x0d86ff39, 0x297305ce, 0x04e6ba68, 0x0c047b96,
+    0x13d75e54, 0xb431b2e4, 0x83e54b62, 0xc540979d, 0x35b821d1, 0xe4d95069, 0x390cb03e, 0x0b6073df,
+    0xbe344a34, 0xe1f03a7f, 0xa364925d, 0x1371f904, 0xb998a4fa, 0x149b548e, 0xa560df1e, 0x4df30da5,
+    0xc03352bd, 0xd0e7c06d, 0x36dc72d5, 0xf4a83d0a, 0x41bb517a, 0x0a4312d5, 0x41b453eb, 0xbe06c94d,
+    0xd67656b6, 0x89d73d0b, 0x45928210, 0x4a2ad4af, 0xbcec1fa2, 0x440212b0, 0x72326cd1, 0x1e1b3636,
+    0x700f0a4e, 0xe6d808a2, 0x42a0b994, 0x274ad7d9, 0x29b251f7, 0x173732db, 0xb4cce0a5, 0x8b65a975,
+    0xbdd0a3af, 0xd7488185, 0x903734d3, 0x02f65df3, 0xe4d120fd, 0xabd53c56, 0x3852a5aa, 0xe9df435e,
+    0x6a817a2f, 0x81e89f02, 0x94fff9db, 0x2b75154e, 0x36530ae5, 0x3eaa5f89, 0x8d8ca2e3, 0x3a68cdb0,
+    0x5bf76d53, 0xfd17f6f9, 0xd7bba9de, 0x12e19c25, 0x1d2bb8bd, 0xc9680d30, 0xba4cdb18, 0x71de6c5c,
+    0xc18cf393, 0x31704b34, 0xa40fd87a, 0xd8fd394d, 0x6d1a6702, 0x6aa53154, 0xa9d56b28, 0x97306799,
+    0x696a056d, 0x8a942538, 0x35e4e1f8, 0x608f58d3, 0xdebcf92c, 0x13deaf8f, 0xadb3519a, 0xb5ef2265,
+    0x07ebca7e, 0xe8917fda, 0xfb87e034, 0xca839e87, 0x7a1155ce, 0x4b9c54f7, 0xf2eba980, 0x2b1cf269,
+    0x8df9cb7f, 0x630273dc, 0xd290c4f3, 0x833d6496, 0xe3b539c1, 0xbae49d9c, 0xc74c6c84, 0xccb97132,
+    0x8c5d89c5, 0xdcf06d6e, 0xf456219a, 0x4661ea70, 0x8637ec3c, 0xba29cef1, 0x17abd286, 0xefc5b49c,
+    0xc147c310, 0xb5f9dc5b, 0x6174045f, 0xf9461c31, 0x52da0ef6, 0x9f6db405, 0x0e68f82c, 0xe76e4b05,
+    0xefe160de, 0x3f8a5a95, 0x09b84708, 0x534e5557, 0x5ae29f64, 0x34444415, 0x9802348b, 0xa2bfe9d3,
+    0x2f977afc, 0x47829764, 0xf2a9486a, 0x0d1a4077, 0x4ecca2f3, 0x6e6ce3eb, 0x4ef6a152, 0xcd46706b,
+    0x8a376c06, 0x8d0a5fa6, 0xa58702b2, 0x54360662, 0x18271618, 0x0718d880, 0xddd3c09d, 0x17eadbb1,
+    0x3600b87b, 0x4b0b245f, 0x3ef7a3f9, 0x95c18a7e, 0x8f12e0e6, 0xfd78c3e5, 0x3dcfffbc, 0x42c9993f,
+    0x001cf6d6, 0xb73fa210, 0xa5c1094d, 0x4dfda6af, 0x53aa426e, 0xa94fa42d, 0x5ef1a5ea, 0x6d906942,
+    0x5a10e351, 0x24549b64, 0x3c4ce9e4, 0x29742a7a, 0x2c6ff7e0, 0x2869ab9a, 0xabf7b0df, 0xbd8e6ad0,
+    0x278a2889, 0xff11ffe0, 0x500bc00c, 0xf717a59f, 0x6e39cf66, 0x1c3a28ca, 0x4f5dd10e, 0x33a81e32,
+    0xcd10cc93, 0x16b330f8, 0xe64bce08, 0x5ec54f28, 0x3fefb48a, 0xf7e81520, 0x1e63188e, 0x6753c297,
+    0x22afd52a, 0xecd8bbcb, 0xf689a3b4, 0x324d05e3, 0x2b1f7e99, 0x2052572e, 0xc9e84339, 0xb4301f70,
+    0xf1974d2b, 0x12c636a7, 0x9b05d8f3, 0x118a21f2, 0x1e44837c, 0xa2eef84d, 0xb27e9874, 0x6c46e80d,
+    0xf7c85b39, 0x4f3e4583, 0xb1f1f265, 0x26459f70, 0x27e0c015, 0xf7bef73a, 0x61a7376e, 0x20cd52fd,
+    0x9dfb03c4, 0xe0493b6b, 0x794a1e00, 0x89a806a6, 0xe9f89b39, 0x5275cda3, 0x10807cda, 0x28c2648c,
+    0xce6b05e3, 0x23638469, 0xef25299f, 0x0add9099, 0xca4e4a01, 0x4c3ce746, 0x595ddaec, 0x2872279b,
+    0x69b2a822, 0xde15d7e4, 0xf7e09ee4, 0x402f467e, 0xfcebcf13, 0x44dc3598, 0x2443e668, 0xd5dd556d,
+    0x7f67cd9b, 0x813c3a6c, 0xe278e9e9, 0x465fcc6c, 0x7d13c927, 0xe4623c0e, 0x364c79ef, 0x9f4c811a,
+    0x87f75d35, 0x18c100c4, 0x032e733b, 0xce598889, 0x1bb69edc, 0x22bc83b0, 0xc1689293, 0x3adb4883,
+    0xad093862, 0xc53a2bb7, 0x3e4ccbbd, 0xa91d2559, 0xc66d743b, 0x4b59ca40, 0xfa8c9c60, 0xa5517175,
+    0xb3de94d0, 0x8b958f1a, 0x4e0af63e, 0x624c6b7f, 0x68cb0e0f, 0x2f94b2e9, 0x5f876232, 0x38f88584,
+    0xe07a1fd0, 0xe7908345, 0x131e663a, 0x44b5d02c, 0xa8032533, 0xc519198f, 0xc1745aa8, 0x9aa41c44,
+    0xe20d652c, 0x8acbbb28, 0xd7c1ad4a, 0x3ae4d48f, 0x92d7eda7, 0xe2fca321, 0x75516750, 0x2f9f742c,
+    0xf05dda83, 0xe58f5861, 0x7ac4764e, 0x3b4950db, 0xfb0cb6e6, 0xbd0cf8cd, 0x8aa8477a, 0xb82a42ab,
+    0x5bcc9e73, 0x4f1ba70c, 0x02f4f622, 0x8c628867, 0x74b2dd4d, 0x4d452fea, 0x5d4cffb2, 0x5c4d335e,
+    0x3bfc7d8c, 0xce5dba4d, 0x6006d3f4, 0x3b28f9a9, 0x0b5913d6, 0x250e4861, 0xec90774f, 0x02e9862c,
+    0x94ae6bc0, 0xa34d4e84, 0xa75079c1, 0x707235a6, 0x48c34dd7, 0x5beb5201, 0x9c957448, 0xae2ccde2,
+    0x122ba1f8, 0xc4746d7d, 0x0ca27cb2, 0xc6f2488a, 0x82206891, 0x849d75a6, 0x14b4b9eb, 0x0752a1c2,
+    0xc33de143, 0x493d9315, 0x86a58eaa, 0x47486840, 0xc98a7cb0, 0xfc0411ab, 0x909c7258, 0x5ffbe16b,
+    0xb04a4811, 0xf1a8d0d0, 0xe62403b4, 0x4d4d0935, 0x4c989a65, 0x33a5e0bc, 0x8598f907, 0x9027fd4d,
+    0x253fabaf, 0xd4b48f39, 0x2411df7b, 0xf655af24, 0x9d195b2c, 0x330e3a57, 0x1165b231, 0x6f6572a6,
+    0xb2520e94, 0x5abe9bda, 0x19f19e63, 0x299cdbf9, 0xb3b4cf70, 0xe9d1390e, 0x9dd63785, 0xc80defcc,
+    0xd69bc19a, 0xecdab1b7, 0x92209b95, 0x2a615716, 0x0faab8bf, 0x1e52c82e, 0xc3312ece, 0x20c96417,
+    0x09fdb40f, 0xb9e11f5b, 0xdf5c8a73, 0x50cd03f4, 0xc2706bc9, 0xd3d12171, 0x9f1a22b1, 0x4c7a56fd,
+    0x783b5516, 0x51559df2, 0x6379272b, 0x1cdd02fc, 0x83c63f4e, 0x8fa832fb, 0x5cce7315, 0xe8226431,
+    0xa1c9968e, 0x6be2fe76, 0xb7bc23b1, 0x73052760, 0xdf1fcef4, 0x54354897, 0xbfa1d141, 0xd117bcf7,
+    0x8559fb69, 0xa5152e66, 0xaff6fc6a, 0x6b387df4, 0xc6649f38, 0x21ad2a49, 0x5156513f, 0x77a5875c,
+    0xe70a66de, 0xeb4c8891, 0x343b2a69, 0x1a8d695a, 0x50925c88, 0x7d5d2e2d, 0xd85e8e95, 0xe7c88ef6,
+    0xd670f3c0, 0xcc946307, 0xeac35911, 0x96c0b67f, 0x424097b2, 0xb2a040af, 0x7ae70109, 0x435fa094,
+    0x97b1a7e5, 0x830e150f, 0x67898f07, 0xd60e55c3, 0x0b6889a1, 0xf9e0b3d5, 0xcd706749, 0x9d551964,
+    0x6cfac7ca, 0x92ccc351, 0x97d30268, 0x54de3d15, 0x0bfa14c3, 0xa5c425c3, 0xfa647896, 0x09a21dad,
+    0xae073a53, 0x8c7a2b0d, 0x0ee1d3ab, 0x0f6030a6, 0x05e4aadc, 0xcfef8dd4, 0xf22f0975, 0xa55565c5,
+    0x7875abce, 0xfe612455, 0xe91e194f, 0xe3295f27, 0x22157fd2, 0x5cd9344c, 0xdd553c35, 0x23c98fdd,
+    0xdd7b06ff, 0x6f3c9ff9, 0x79823816, 0x5d515cf7, 0x9ff9d690, 0x2936ffef, 0x4249a548, 0x4ae1e513,
+    0x6d28f16b, 0xfe46365a, 0x72e6b050, 0x977a8da8, 0xe343d4ad, 0x4061661a, 0x89858445, 0xe658e727,
+    0xebbd699e, 0x272388be, 0x4993d955, 0x759ce9ea, 0x08039db9, 0xbab416c4, 0x11cbc0fa, 0xc11faa6d,
+    0xde33c68a, 0x1ce643ad, 0x803ac6be, 0x3b3588a3, 0xbd1a942e, 0xb2db904b, 0x34636c99, 0x49f524d2,
+    0x0c906f5b, 0x420fea77, 0x8214acc6, 0x06487cd4, 0xca0118cf, 0x84d6453e, 0x477109fe, 0x0afaa6a2,
+    0x2e0a8b1f, 0xe3499b19, 0xf9a6fe5f, 0xfe7e6012, 0xef95641c, 0x58f081bb, 0x58c38338, 0x24cc8634,
+    0xdedf73b8, 0xda84c2f1, 0x31175d32, 0x371bc7d6, 0x18ccb8f4, 0xd5a94b85, 0x2bb43205, 0xeca1d562,
+    0xb3bc04df, 0xb9d8d814, 0xe1867312, 0x5c1a4c54, 0x00435d9b, 0xca4552c0, 0x681664c1, 0x4af32b2f,
+    0xee0e26d6, 0x54761815, 0x6f657c9c, 0xe61192c1, 0xb888701b, 0x8d299520, 0x4513bc5e, 0x446e2fa7,
+    0x958f1aa0, 0x1f2e095b, 0x296b1f43, 0x38a18d6a, 0x0a8b509e, 0xdadefb58, 0xee6a6ecb, 0x0d1bbf1d,
+    0x857bc885, 0xc2f6f85f, 0x6b3c2181, 0x63c2eb78, 0x6abc3d52, 0x5a6d6573, 0xa6355a33, 0xcfda8ed3,
+    0x48d2893d, 0x6be30853, 0xaea59a89, 0xebb0d882, 0x006373cc, 0xbdc1274a, 0xfd0411f1, 0x490fb177,
+    0xa505c086, 0x408faa63, 0x1201d50b, 0xc3b0b67c, 0xfc0e2bbc, 0xaa0a37f4, 0xbef9419c, 0xd7f231d2,
+    0x94855cad, 0x9eb95425, 0x40b03f4d, 0x0c014481, 0x2663b173, 0x402990be, 0xb29d74e1, 0x176b7445,
+    0x342ddc6b, 0xeca7a47c, 0x420b0bb0, 0x5f9d35b3, 0x0a692087, 0x52b5e9cc, 0x89893e90, 0xedcec0e9,
+    0x0a2a2b66, 0x3eca9934, 0x0b96b0b0, 0x0b4e5fe4, 0xa59e648c, 0xff49bcc2, 0xe9232a0d, 0xf2c8142c,
+    0x3a164665, 0x32c3d395, 0x8f812752, 0x55dc1387, 0xd32c9abc, 0xfd30cc29, 0x6f3107f1, 0x448ddeb4,
+    0xf80f1bba, 0x4ecb11a6, 0xf6e4cefc, 0x37a7d8a9, 0xe5398ff7, 0x1f6ff7a2, 0x51ede5ea, 0xc90f37f2,
+    0x768c4d32, 0x4ebdbfd9, 0x07ba892f, 0x0b4f79ed, 0x59bf68c9, 0x36c334af, 0x6a98449d, 0x1ef0fda0,
+    0x70cbdedd, 0x2813995f, 0x1be3ab0b, 0x35851ae0, 0xb6cd8a05, 0x7fe4df84, 0x43b7c30b, 0x1d63b83a,
+    0xdac3ccf2, 0x27ae985f, 0x2d58e234, 0xa87e220d, 0x9335fd82, 0xf1c7eb92, 0xdacd1e9e, 0x81a6e20d,
+    0x8c351a1d, 0x1792d211, 0xd0e94307, 0xf860bdce, 0xdc04b04f, 0xc5829b63, 0x4f8cb4f8, 0xfb527ec5,
+    0xf92abb46, 0xf6d79ebe, 0xe3c27757, 0xd8130ce1, 0xfcf3eefc, 0x9fd5f040, 0x3495ef43, 0x361e6f21,
+    0x2a4cf82c, 0x1c0ec5a8, 0x38038561, 0x14bcf2e6, 0x86a66506, 0xf4f309a7, 0xeda96275, 0x2d4c4395,
+    0x16f052ba, 0x382aacb5, 0x83790ce0, 0xdd3d51be, 0xd3c7c4a5, 0xbafd2ace, 0xc6673f7c, 0x13e3a533,
+    0xb108bdb4, 0xd5cd95b4, 0x8ff0e1fc, 0x03184055, 0xb2d0c368, 0x280c14ad, 0x31af6165, 0xade0fda9,
+    0x03b22fa5, 0x712755c8, 0x361fb4b1, 0xe47183f2, 0x7e8f029c, 0xfc64b429, 0x08808280, 0x10f1f1fa,
+    0xf57e5e75, 0xe1c9bfdc, 0xb08eaef6, 0x7e766224, 0xd9231eb1, 0x2c0c9a9f, 0xd7ded562, 0x21080052,
+    0x29de69ef, 0xaaee81e5, 0x9d70eb45, 0x2137fa3f, 0xcd3c36dd, 0x3acee371, 0xdd6cc3f9, 0x672e18ec,
+    0xa12383a6, 0x6a56f928, 0x0bd05e5a, 0xd29482d4, 0x69b366e5, 0x32b8a063, 0xcc7ae198, 0x9c96f1d7,
+    0xe5123e3a, 0xdcc350eb, 0xfc00001f, 0xa335ef77, 0x04924138, 0xcc59b80a, 0xfb93c13d, 0x964dd126,
+    0xcd7079f9, 0x2726cb97, 0xa0a56d02, 0x18fc7686, 0xf34a77d5, 0x30749aa1, 0x20aa6c06, 0xbcc443de,
+    0xc4cb77c4, 0x2aeb5378, 0x0e04a4f1, 0xb94418b2, 0x324eac83, 0xd0c98fbb, 0x17ac1c80, 0x934be8e3,
+    0x4861f171, 0x5211187c, 0x3dca4c0a, 0xbe2aaebb, 0x0bf67809, 0x9f64dff4, 0xc167ee7f, 0x072e1cb6,
+    0xe5d98e8f, 0x097c091b, 0xffe6eb43, 0x4e36cce2, 0x9f086961, 0x4587eb7f, 0xe9139b3b, 0x936f4599,
+    0x05ed6fb7, 0x5d7bb77e, 0x1e6ab9a1, 0x3047ff84, 0x3af8bd1a, 0xcf6e9703, 0x905d3d00, 0xa6f809d2,
+    0x7c45cc4f, 0x405988c9, 0x926e4044, 0x09329500, 0x165597c8, 0x60304347, 0x10833576, 0x0ca6572e,
+    0x463b7cd4, 0xc9be48c7, 0x0c2558f8, 0x6aa595f8, 0xcdfa3f0b, 0x8901d465, 0x6dd42e0a, 0x7b0e0d17,
+    0x1f444123, 0xb65dc97c, 0x2a64f003, 0x4ddc7b72, 0x95552e60, 0xe5a2e317, 0xc00ee0fa, 0x8bc47fa9,
+    0xccef4fa2, 0x3c8b8d37, 0xf3d58590, 0xb9e75319, 0x10446376, 0x9023edfb, 0xde328d3b, 0xd7a56cca,
+    0xe11c6d89, 0x1ee232f3, 0x680b35bc, 0xec5cc617, 0x0a7fbc4e, 0x612a2352, 0x953d347d, 0xa5040e2d,
+    0xe9daee69, 0x49548bb0, 0x54760cbb, 0xb7521527, 0x98111398, 0x7f5378a3, 0x224a2fdf, 0x7de1dba0,
+    0x9fd4e141, 0xcf7f3949, 0xac30ec0d, 0x0a8e5a5a, 0xf23b6569, 0xefb76df6, 0x801c43a5, 0xd5c2e670,
+    0xf5a09e80, 0x54f60a87, 0x32a3fa1b, 0xa48bd148, 0x4a6fedcd, 0x5e31e7c1, 0xd6c8e25c, 0xe4ce547f,
+    0x00000000,
+    0x125f55b0, 0xea8f9d1f, 0x3287ef4e, 0x73c2ce83, 0xdb564041, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c,
+    0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000002935678228467291534861850745986\
+                         67128421960318613539983838411371441526128139326055432962374798096087878991872 */
+  { 0x00000000,
+    0xf59c811b, 0x8155024c, 0x11de6e88, 0x3f3a65c7, 0xe33731f7, 0x078486d1, 0x4e3f8bdd, 0x5d046068,
+    0xbfd95f12, 0x6c33dfd4, 0x5f4e4dd0, 0x807b9b37, 0x0e8d42a2, 0x692d3be4, 0xe15c196a, 0xefbe6dd6,
+    0x8f5ae3c3, 0xc529320a, 0x42721beb, 0x85de0c5d, 0xcc39ea04, 0xcaebdfce, 0xd8530338, 0xd33ba93c,
+    0x7460e90b, 0x5db886a6, 0xf12a8020, 0x48277a4d, 0xa598f377, 0xfb0140ba, 0x4981aa33, 0xc871045e,
+    0x7638e463, 0x9b242be9, 0x8acdd473, 0x58114be5, 0x1a691269, 0x259f6848, 0x5c5523dd, 0xe77e4247,
+    0x0c266861, 0xe4980f4b, 0x5417f84c, 0x8a0dc36d, 0x08b6a135, 0xd98536a2, 0x1be55c5a, 0x213dfcd8,
+    0xb0bf693c, 0x2bc401a4, 0x637c1527, 0x2550cbfc, 0x8f2a44f6, 0x6fa2eb6e, 0xa9463e49, 0x68392948,
+    0xe5378eb5, 0xa7e3e459, 0x538e6f16, 0xb2d7308e, 0x8ecb78e2, 0x55a0a549, 0xfd26c800, 0x53f6fe9f,
+    0xcb045b38, 0xb5eb39d3, 0xaaabceae, 0xa080077d, 0xd50dab56, 0x340b74cb, 0x3cf23ec4, 0x979a8a59,
+    0xaa50a273, 0x5a8a4b89, 0xa82f4da9, 0x0397d3d2, 0x6e85f0e2, 0x07f87ecd, 0x280062c3, 0x91948bbf,
+    0xd892aa67, 0x7c2d0dcd, 0x540f09ff, 0x580887fa, 0x9c825eb0, 0x951362dc, 0x60564c99, 0x83955f08,
+    0x8e38b3b1, 0xf83a4da8, 0x2a761df8, 0xe913a5ca, 0x6d405647, 0xfdd3d863, 0x24807a04, 0xd1e067ab,
+    0x2d57c60d, 0x240de9b5, 0x61141097, 0x707e3d97, 0xbae8ef38, 0x6361ab68, 0x99883b59, 0x60d20da5,
+    0xe5a22c84, 0x75ad260a, 0xcb02b74c, 0x4b5f80b6, 0x02a2f256, 0xdfe83d39, 0x7f2a9d38, 0x0d244986,
+    0x080ad890, 0x085dc806, 0xbfebd6f7, 0x45a32581, 0xa641b40c, 0x4126886b, 0x532ebb6a, 0x6632ee5c,
+    0x2057d846, 0x2f493687, 0xa8a04665, 0x941c05c6, 0xec4f444f, 0x8c7438c5, 0xc7f0289d, 0x8eff770a,
+    0x4c728f08, 0xf1bf9677, 0x4e1118e7, 0x9bdb6b75, 0xdd267d41, 0xfea43da5, 0x27bce701, 0x236d2b93,
+    0x9515dd91, 0x1b18f37e, 0x210b12a8, 0x6d74a56a, 0xfc187a80, 0x64ae9b86, 0xe35c8997, 0x83cab8b5,
+    0x28ec4f5d, 0xeda0d94b, 0x79625b75, 0x1f810c80, 0x338f327c, 0xad8ac1e0, 0x20b95f2d, 0x9f51b73d,
+    0x56f8efec, 0x98cb6228, 0xec4095e2, 0xeb0f7add, 0xaadbc5c7, 0x6bfb10c2, 0xabbe6589, 0xa49597af,
+    0x90877d0a, 0xdcd2929c, 0xf3aecefc, 0xdf2c6117, 0xfca46bc8, 0xbeb55c36, 0x6dd48d06, 0x9ff37089,
+    0xe35034f8, 0x51e73324, 0x83868278, 0x179fba6c, 0xcf05f8cf, 0xf015acdc, 0x004a0ba1, 0xfe351b15,
+    0x127bc94b, 0x9f140a26, 0xeb9a44a4, 0x7284ba33, 0xb8e12671, 0x0e143097, 0x102b7e02, 0xd4094380,
+    0x2e49fdef, 0x4ce2e11c, 0xb5df6983, 0xccd47416, 0xfb056a63, 0x801922fb, 0x646d31df, 0xdf3eb7b3,
+    0xf4b9f124, 0x7cb8bb55, 0x81163a5d, 0xc5afc8d7, 0xbf25edc1, 0xc9462295, 0xe6790cf9, 0xaea2eceb,
+    0x6a2c0dbb, 0xfe593063, 0x0932fdb2, 0x5bec52be, 0x0d230e4b, 0xeec09c60, 0xc78ddf10, 0x5ccfbeb8,
+    0x210764ef, 0x2e65d209, 0xe6130c26, 0x7a1d378b, 0xdbddeed4, 0xb31079c5, 0x387c3512, 0x8ed9b741,
+    0x06d4c393, 0x5f7182ee, 0xc5e89084, 0xe623c008, 0x496d44b9, 0xa5682377, 0x3d64382f, 0xf372e42f,
+    0xc3051909, 0x8c30888b, 0x6261f225, 0x0e4184f3, 0xf952e75d, 0x206ed399, 0xd97a9ae3, 0x8b3b397c,
+    0x60cd79d1, 0x5f3dde18, 0xc923cc1a, 0x0dbc4433, 0x48abd278, 0xe9e90be1, 0x57e53efd, 0x3c29e8a9,
+    0xd7005a44, 0x092759b5, 0x58dbad53, 0x26085578, 0x69618b15, 0x272821d0, 0x31e80394, 0x44087012,
+    0x71ac58a6, 0x4459e169, 0x0eaf0d21, 0x1d374a5b, 0xd1b8225c, 0x3ac60e48, 0x3e5561ef, 0x5104be6d,
+    0xb4df6911, 0x2dba48bc, 0xb804bd86, 0x10ebb571, 0x15f86bbb, 0x8e22cee8, 0x022133c3, 0xf905e985,
+    0x753331d8, 0x66565011, 0x1fc7ddc3, 0x95a9eefe, 0x71eaba85, 0x84566989, 0x8c97abc2, 0xd5449ed7,
+    0x89c15dc3, 0xce6f9ccf, 0xac0d71a6, 0x728fc8e7, 0x2c7f4193, 0x3e4efe4e, 0x08ca7cbe, 0x3a5f72e6,
+    0xd9d15eb5, 0xd9b9794b, 0xbdc806b4, 0x6c951e31, 0x1dcceda7, 0x0b32ac1d, 0xc654881f, 0x70a30181,
+    0xd6779c55, 0x06ee4d18, 0xdcf7fe72, 0x05a99b5c, 0x6580fc02, 0x4fdff268, 0x9c775706, 0x1404c460,
+    0x377c0412, 0xef281eca, 0xe8018172, 0x168ce4d2, 0x081ccfe7, 0x0557a235, 0xc7347b6d, 0xad99edbc,
+    0xc422f44b, 0x902f5141, 0x8b947e62, 0x22931371, 0xf9581405, 0x02d56146, 0x74cfe735, 0xed7562d5,
+    0x80defded, 0xc69de1f2, 0xe3edeef0, 0x4ec25e45, 0xb3085302, 0x8efa741f, 0x6e9a6b6f, 0x42f17882,
+    0x0cc115fd, 0x27375bf9, 0xb30c4692, 0xc9d1c261, 0x83103aec, 0x122225e1, 0xed1b710e, 0xacd71b6e,
+    0xd22aaa16, 0x99a29134, 0xa687bbf3, 0x93c07bdb, 0xc5233ea4, 0xdb969ae3, 0xf5585ab9, 0xea9eb66c,
+    0x21ffd1ff, 0xb2489ff5, 0x6a050079, 0x20dc4d6c, 0x4ee1027b, 0x8de486d0, 0x9ea0eee1, 0xaaf80731,
+    0x13fb1f18, 0xdd6968f6, 0x71ee94d6, 0xfcccaf96, 0xba49fdaf, 0x5d0ab618, 0x8ad1fa79, 0x4366d806,
+    0x073d3eb6, 0x49545e79, 0x4641064f, 0xdad6ebd7, 0xd1bd6ea1, 0x6aa9f1d1, 0xb0542c7b, 0xb244bfb0,
+    0x1e77f993, 0xdd37edca, 0xf855f1a5, 0x70131ecc, 0x4e074fb6, 0x42a7d95c, 0x4056fb15, 0x3da4b462,
+    0x290f291e, 0xe1d41547, 0xa7f055e9, 0xf1545da9, 0x5c62af55, 0xc70626c7, 0xe3764792, 0xe994ce19,
+    0x247999b2, 0x82162fe4, 0x04eaf145, 0x1a977f66, 0x6868e032, 0x3dbb1c36, 0x3893029b, 0x19977a58,
+    0x8558b1d0, 0x7fd7ebca, 0xfe0dff10, 0x88d63bee, 0xdbc4686d, 0xa7ddaa64, 0x56802f2c, 0xf2353fbe,
+    0x3d8d558d, 0x22bcd10d, 0x880d066f, 0x1eee6335, 0x44c24be5, 0xeaf28ffe, 0x88546af3, 0x986bde08,
+    0x5e734cec, 0xc686bcf2, 0xbc7c59ce, 0x6e2ac95a, 0xb5a9dbab, 0xb845ce1a, 0x520480ac, 0x0987feab,
+    0x32ebe222, 0x575ee7f9, 0x226de4f7, 0xc907b658, 0x0a87fe30, 0x1711b2f9, 0xdd0bd7bf, 0x4f384863,
+    0x7d936077, 0x994c306e, 0x8702fcdb, 0x92f1d308, 0xe48dd397, 0x6b2e6ef5, 0x4d454a4a, 0x6b9c1df3,
+    0x07970b07, 0x37358991, 0xe52de983, 0x5440b7c4, 0x982e689d, 0x5758dba1, 0xd5cdab00, 0x7ed151fc,
+    0xdb79ff0c, 0x714ee2af, 0x945a1a5c, 0x2fa6c1c4, 0xf4349315, 0x77b9e76c, 0x3c8e1b08, 0x1dad850b,
+    0xab016177, 0x106aa053, 0x62a95f5e, 0x73fc9eab, 0x6027e54e, 0x6f346403, 0x682c8a49, 0x0762713f,
+    0x07d5f38e, 0x3146deea, 0x5029350a, 0x14f475d3, 0x05c2e57c, 0x8cbdc9bc, 0x124b7278, 0x0240489e,
+    0x2e2ca500, 0xd7a4da5c, 0x8f333f29, 0xd5c32cdf, 0x87bbf34a, 0x9dcba486, 0x4ff9389c, 0x3c573026,
+    0x5e7f3172, 0x534b291d, 0x4736adfe, 0x8d3800cb, 0xb2e530dc, 0x5dacfee3, 0xa3c8dfb6, 0xc9575e6d,
+    0x4d215a8d, 0x9d980dfe, 0xb48c8d31, 0x4649a4a0, 0x233ba3aa, 0x00dd41de, 0x5161e4eb, 0x4565dc22,
+    0xd96f0375, 0xfd1d8b34, 0xad64c18b, 0xc12d0837, 0xd18f340d, 0xf04902b4, 0x080066f9, 0x6bef9cf0,
+    0x52920591, 0x36034b27, 0x5a2fb7ce, 0x981392c7, 0x86998c87, 0x7221e22a, 0xea33e02d, 0x65c63b21,
+    0x4178c30c, 0x5e0c7f7a, 0x30ccff09, 0x29f07895, 0x2ab3b443, 0x6d218887, 0x0d833b63, 0x3de320d3,
+    0xd45b6388, 0x0528e7a4, 0xe665547b, 0xc1141062, 0xfac5d6bf, 0x32fccabb, 0x3ad42490, 0x79983d84,
+    0x4dae46c3, 0xec152b00, 0x45249af5, 0xb01651f3, 0x9a32fc0a, 0x36146a04, 0x1a4f5cb9, 0x0c9fbc7d,
+    0x369bc862, 0x06e56cf1, 0x5fbf9f38, 0xac3ba1f6, 0xc3bf4fdb, 0x01e6494a, 0xba28f109, 0xc6cd90e2,
+    0x12737231, 0x5e64c3a7, 0x3481ed28, 0x3e10dd38, 0x96de1870, 0x61445ce9, 0x06bde4c7, 0x0d860956,
+    0x7ecbf558, 0x8777d66d, 0x657dd7f3, 0x66952120, 0x8babf2ce, 0xd0d6d242, 0xabf84694, 0x567ffcb7,
+    0xdf086272, 0x4cb645f5, 0xff2b9cf1, 0x04d818d4, 0xfc9b3379, 0xcbf56479, 0x243a3f96, 0x0c28558a,
+    0x8d951a88, 0x2106262e, 0x87f9e349, 0x4ab4a5ba, 0xa560f9ff, 0xa019fe29, 0x1a66331d, 0x1561e98c,
+    0x260f759b, 0xe75e01cc, 0xc5ed8abe, 0xce90b8fd, 0x498f0b61, 0xfe8b31c8, 0x175113e3, 0x415da71d,
+    0x90d1fc88, 0x5de844e5, 0x9951badb, 0x2ed60a8f, 0x3367036f, 0xdc3e65dd, 0xf88addc3, 0xaf10c3ae,
+    0xc93e856b, 0xd6e18b39, 0x2fc986e6, 0x329e4e9f, 0xb4bcceff, 0xdfb5f77b, 0x59c9817c, 0x195b159e,
+    0x83b96ab8, 0x1d077fec, 0xbb9cb037, 0xec32e93a, 0xac58d6aa, 0x106778cd, 0x79c63cbd, 0x3e92ca1f,
+    0x7efdd000, 0xb8c9d64b, 0xfd5e7563, 0xafc04546, 0x230fdbb4, 0x12d90320, 0xd6c1a8e8, 0x662f49b5,
+    0x30210d34, 0xfd7332cd, 0x36b045f8, 0x5509ccfd, 0x35fdfa54, 0xea7bbe2e, 0x3b7ddf0b, 0xe503e6d3,
+    0x0177febe, 0x9ae19348, 0xe17b0995, 0x05981622, 0xe10960d2, 0xcda012de, 0xf9bf06c8, 0xe424928b,
+    0x8d47274c, 0x8691bcae, 0x99deb1bd, 0x4f72baa1, 0x5bf086dc, 0x90b259a3, 0x47bf9a72, 0x69e4c51b,
+    0x14f9db56, 0xc52cb37c, 0xae18e565, 0x6e2e1c42, 0x808643d1, 0xab2fe320, 0xeb813f9d, 0xe96abbbd,
+    0x200ece28, 0x89aa83e0, 0x48960d15, 0x6c38ef0a, 0x74eeee21, 0xa3149f4c, 0x892c4392, 0xa889ed24,
+    0xc25ca74e, 0x00cde0ab, 0xc098a011, 0xbf3111f5, 0x1988261e, 0xbe3a898a, 0x5fea62eb, 0xacf65571,
+    0x07dfd5a3, 0xf6bc412c, 0xcaeac42b, 0x692d61ff, 0x1e7fbdf4, 0x2fa0e0df, 0xd8c0cff9, 0xd4734b06,
+    0x9438fbac, 0xfcbd06ac, 0xffd8c289, 0x287016fd, 0x5a605f22, 0x1adaec2d, 0x50b37d9f, 0x1e5db8e0,
+    0x7b1f2ae0, 0xbf9266b7, 0xb384b951, 0x5178f00c, 0x7d82ad92, 0x1db3f1df, 0x40e50f8b, 0x3cef209d,
+    0x63773347, 0x92803666, 0x5396967c, 0x901a2c48, 0xa15f765c, 0xc77c5e07, 0x8e5ffd3e, 0xd6830578,
+    0x99bd35b5, 0x6d1edba4, 0xb3ee9298, 0xa70084b3, 0x4fc27220, 0x2bea38ae, 0x7a8f2754, 0xdd99c7aa,
+    0x165fd6eb, 0x4f952d60, 0x475c5a11, 0x9206f584, 0xd01ad21c, 0x17d8c4ea, 0x1ae31647, 0x65339b3e,
+    0xa3907e57, 0x5c7fcc47, 0xdca8ac3f, 0xd36c70a4, 0x1599091c, 0x92b07345, 0x243c14d0, 0xbf9d3908,
+    0x32c7f214, 0x28dd2f72, 0xbbbeb6d6, 0xc2937dfb, 0xe295bcf0, 0x986f5845, 0x2cffc592, 0xda73c69b,
+    0xc09b75de, 0x7070d8fe, 0x2f6f2a88, 0x64074d28, 0x956fa5c5, 0x7d756357, 0x0236b0b7, 0x284dcdd5,
+    0x80f8bac5, 0xa7bd9b73, 0x2ef41625, 0x0ceb9224, 0x08537215, 0x9e7fe69a, 0xe5d4adf5, 0xed5c268a,
+    0xc23d6109, 0x167333cf, 0x0866f1b7, 0xfc8131a9, 0xcb9d91bf, 0x35d3cf75, 0x00b72fc3, 0x16fac94c,
+    0x169c290c, 0x58190804, 0x5e06de57, 0xd5dd0426, 0x8d5ce67d, 0xce061f95, 0x7878273f, 0xa3754874,
+    0x21584ef2, 0xb9f5dce2, 0x5a8368fa, 0x5aa7aee7, 0xe2c6098f, 0x7459b20c, 0xf98f7000, 0x0de339d8,
+    0x3905721c, 0xffdc1a1c, 0xe6a9c571, 0xf619d2ea, 0x87e43f53, 0xfd8e5379, 0x9c181442, 0xddac2566,
+    0xbe34edf7, 0x08693a5f, 0xf09add46, 0x2a44108e, 0x7429c51d, 0xfd0b9868, 0x6b64fece, 0xe84cd169,
+    0x1fe19e3e, 0x88cbf5fc, 0x2dc82679, 0x19940f17, 0xa9cd70f5, 0x01edbba0, 0x405ed221, 0xb19f2a13,
+    0x08c074e8, 0x58f855b2, 0x40ad8f6b, 0x911779a5, 0x0a5f6168, 0xc23c1821, 0x4758bfb8, 0xc18df145,
+    0x90bb1db2, 0xf5b46458, 0x1f83a1c7, 0x25ca2d30, 0x9728bb99, 0x91d3afda, 0x49b994a4, 0x0d8d3613,
+    0x957efe3e, 0x2696ad1c, 0x32e7773a, 0x6708b567, 0xa6637597, 0x76650175, 0x24d0fbea, 0xf6ecf1ee,
+    0x8b7d2601, 0x78be4a51, 0x5dbf74b6, 0x0ec1dee5, 0x061f1f17, 0xf3e91e16, 0x26c933d8, 0x6e8415f7,
+    0x9788a23e, 0x7ad84ba4, 0xf8105486, 0x64a471cd, 0x7ecf95cb, 0x6393d6cf, 0x0876e6f8, 0xaca9172d,
+    0x910c3e1b, 0xa749b2ca, 0x014cddf2, 0x30bba315, 0x8bdfc00a, 0x262d89e3, 0xdebd45b0, 0x45f95656,
+    0x4cd73609, 0x2eba0d40, 0xfcee82d1, 0x980061c0, 0xe61112b0, 0x685f69d8, 0xb7103255, 0xb993d001,
+    0x73b88ec6, 0x1392dedf, 0x46792502, 0x81fa9f86, 0x605af35e, 0xf314147d, 0xf8a48c08, 0x621593e4,
+    0x8efa8a9e, 0x71168645, 0x9ee05283, 0xb5f00021, 0x0735eb99, 0x5bc8cf73, 0x050c98b6, 0x3bc7c217,
+    0x114fef28, 0xeb0841f2, 0x8983bb5b, 0xa4f21e5d, 0x2a635216, 0x20de4d67, 0xec9d9fbd, 0x0da3e325,
+    0x56afad06, 0x849c495b, 0xc38c5526, 0x184a5188, 0xc908d448, 0x388c00b3, 0x39318c22, 0xf09d1f15,
+    0xa452fbd0, 0x78d4792b, 0x99aca4b6, 0xbcd2711c, 0x3f9397cf, 0x89098113, 0x68f02e0d, 0x785be23f,
+    0x47f2bf95, 0xa9f66160, 0x477c1d20, 0x10a8742f, 0x0c7de384, 0x2b1f0b17, 0x2b4bc8ea, 0x472bb919,
+    0xed423d4b, 0x6e90e04e, 0xf48c46d0, 0xaf71bb0b, 0xdd592e4d, 0xb40797ab, 0x7896068e, 0x275e1c00,
+    0x4d73be58, 0x616e1b2e, 0xac04cb02, 0x3883854b, 0xb6b71beb, 0xe40fc779, 0x8a4ee327, 0x9c76e119,
+    0xc0d41faf, 0x2aaa80bf, 0x3f80cb52, 0x42060ad8, 0x07402bf9, 0x9f3d3ac7, 0x772ef3de, 0xb4c775a5,
+    0x760a7826, 0x645ebd15, 0xb1e284e9, 0x69a061ac, 0x67d0f6fb, 0x805e4b02, 0x120a5353, 0xfa00d737,
+    0x3c84d220, 0x2c871d22, 0x1e3173da, 0x4168f7d3, 0xb878c574, 0x63ef7471, 0x13f29f88, 0xa57db9b2,
+    0xea4e5326, 0x79951f86, 0x48873e43, 0xc1a89a77, 0x2243a4af, 0xe19ee155, 0x365edd53, 0xf36b6bd2,
+    0xf54efc0b, 0x5d674c6f, 0x3520c55d, 0x791207fb, 0xc0834242, 0x71340666, 0x126fc1dd, 0x11f2559c,
+    0xf6fd10ee, 0xf4c79a27, 0xb18d3684, 0xca0a544e, 0x800f8534, 0x29237673, 0xd3120e82, 0xbac503db,
+    0xe373b0e1, 0x408b8e91, 0xe063c777, 0xa94f92ef, 0xff9b8d4d, 0x4b5895e1, 0xd115463b, 0xa362d775,
+    0x580cbd70, 0x44f6225c, 0xea47b30b, 0x9ab246f1, 0x0045d66f, 0xd7b50493, 0xe7449823, 0xa23c12ce,
+    0x41fff60d, 0xe826d7cf, 0xb7b982c7, 0x26c32f0f, 0xe76f27fd, 0x4dc1bc2c, 0x7ddbdf6e, 0x2f974b5b,
+    0xcbeccb45, 0xd1c412dc, 0xa479993a, 0x5335bec5, 0xbcafb62b, 0x5497d8e9, 0xf61fd6d0, 0xb970ce22,
+    0x8aceac16, 0x5ff5897e, 0x28f7bfdf, 0x935e6dae, 0x7d4358c2, 0x5636b913, 0x86ab8b67, 0x55a4ea2d,
+    0x1741557d, 0xf648f675, 0x31a5542e, 0x4e776348, 0xe0ee25b1, 0x8bbdd2bf, 0x9e64964e, 0x1b838008,
+    0x8074f2c5, 0xbdcffdac, 0x5953e662, 0x0af693ea, 0xe00719b7, 0x09c501fc, 0x82caa233, 0xd83ab417,
+    0x471600c3, 0x7554e484, 0x7cae299c, 0xa5065751, 0xf69aa7e7, 0xffabf86a, 0x8a055aed, 0xf20576ae,
+    0x00000000,
+    0x892faad7, 0x7547ce8f, 0x9943f7a7, 0xb9e16741, 0x6dab2020, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336,
+    0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000001467839114233645767430925372993\
+                         33564210980159306769991919205685720763064069663027716481187399048043939495936 */
+  { 0x00000000,
+    0x55ef3197, 0x03ee17e5, 0x905c7deb, 0x7e04c8bf, 0xa35fe0da, 0xdde62016, 0xd27810cb, 0x7bcb7e9a,
+    0x8be226c9, 0x744d120a, 0xa8fcfd37, 0x39fda6d1, 0xb30c4ef9, 0xad5a6c21, 0xe753db4c, 0xa49dd43b,
+    0x5e918aaf, 0x8182331e, 0xadf7b94d, 0x2fbb87cc, 0x678b589c, 0x8b7a1be5, 0xcd356d16, 0x80f3d1c7,
+    0xdf39cf95, 0xeec01a5c, 0xb7126a56, 0x9be7bddd, 0xf477022a, 0x6b1d1289, 0xc6403b99, 0xd30f44f4,
+    0x25046316, 0xd5f49d5e, 0x56e72096, 0x39650d85, 0xb780d5f0, 0x8d94c0a7, 0xaa28e254, 0x16268c8b,
+    0x4c197c47, 0xaa3d533a, 0x0bf05c88, 0xd0435444, 0x4b79c2d5, 0xae59cb50, 0x4a59d533, 0xb3ba424a,
+    0x4989db10, 0x66cbf0c6, 0x8352e990, 0x1b88f248, 0x2061cf78, 0xb76d29ed, 0x8c6cef80, 0x3ed38180,
+    0x7ce15005, 0x4b55196c, 0xcd3b00aa, 0xe4c88660, 0x0d9ce72d, 0x9960166b, 0xc7e712c1, 0xd5543f3b,
+    0x983ddd11, 0x682490fd, 0xb2d18a5b, 0x1cdb8f68, 0xa52683d8, 0x23d34f7a, 0x2b342c0a, 0x733c3051,
+    0xee5b2c66, 0x35b95c28, 0x80420e2d, 0x249de0e7, 0x3c64295d, 0xe072e9ff, 0x7a320b85, 0x05b866ae,
+    0xef9c3ef6, 0xdfdb969e, 0x4d341731, 0xcd6ffea9, 0x1294dc8f, 0x8afc322f, 0x971c1640, 0xae014a10,
+    0x8fe66c48, 0xf79b37ab, 0x88447121, 0x544bafa6, 0x0025d0f6, 0x17e8bc0c, 0xd7e7c1bd, 0xa4353616,
+    0x3bfff8b9, 0xbaf9670e, 0x8285ddd4, 0x8bc2a989, 0x239e620e, 0x349d948b, 0xc3bd5038, 0xc176ae03,
+    0x639e0232, 0x49d3913a, 0x2930738d, 0xea091d65, 0x36c607ec, 0xf2117542, 0xda779dbb, 0x56e5067e,
+    0x09fc74e7, 0x3217ff2b, 0x33c6bfd8, 0xed769ad8, 0x8ad6bc75, 0x3e19066f, 0xa5d6d0da, 0x806b7670,
+    0x3959414f, 0xf8d6686c, 0x420ed173, 0x711eeeb9, 0x3e6aaff7, 0x387e838a, 0x21028acc, 0x2ab90a59,
+    0x9791f2a9, 0x95fb81b1, 0x7edcfbc5, 0x17ba6caa, 0x2943b642, 0x231c4ec2, 0x630d2d49, 0x1bce26e5,
+    0xd6a987ad, 0x1323b7ee, 0xe6fa5942, 0x101f24ba, 0xa6dec7fa, 0x69ff965e, 0xf067514b, 0xbebf114f,
+    0xbcb06deb, 0x9f859784, 0x537fb025, 0xc807fb54, 0x409e5300, 0x1d8d5c56, 0x79e560d9, 0x755ad071,
+    0x7cd1bf91, 0x45ff966b, 0x145b577a, 0xb682e8a7, 0x7a09d19d, 0x5e0718b8, 0xe63b2f13, 0x8030a220,
+    0xa3553e99, 0x52c0cbf8, 0x3135ee6d, 0x1077c3cf, 0x708a0f29, 0xf5dc9c4c, 0x8a2cf2bc, 0x2c64a9b0,
+    0xecb11948, 0x6dcf96f0, 0x044f461c, 0xb5b1003d, 0xb912a930, 0xcde510c3, 0x5ed5190e, 0x20854383,
+    0x9359f1ba, 0x0713ce49, 0x10967ae9, 0xa224ba8b, 0xdf0980d7, 0x7bf57580, 0x0d3b9e14, 0x71ff0eaa,
+    0x6d7351f4, 0xdf83f8fc, 0x6ba27a8a, 0x8e6bbd3b, 0xc5760bd2, 0x2f9bc482, 0x9be4c6ce, 0x38759dac,
+    0xe0f23ae2, 0x8b83cfd0, 0xef34a324, 0xbfe41793, 0x821367e6, 0x1c33a2e7, 0xfb75176a, 0xd5ee0747,
+    0x260042dd, 0xd4e91ddf, 0x6a6c94df, 0xee8ee809, 0x42355626, 0x09fe2194, 0xf5afa7ce, 0x824d6e4b,
+    0x911975dd, 0x9ccf0e2b, 0x4132e7e7, 0xee1f88eb, 0x90dedba0, 0xb3a266a1, 0x1c3a6b34, 0xb7017367,
+    0xab2c7de9, 0xac26e817, 0x5a8eab39, 0x47daba18, 0xe3498ddf, 0x625fa072, 0x20be02fc, 0x26cbb252,
+    0x6d8f89b9, 0x26c9a783, 0x70f9189a, 0xd25b4dcc, 0x4d576911, 0x0ab6c51f, 0xcb0a9d3c, 0x880711e4,
+    0x0c6f416d, 0x13c9d387, 0xaffa3af8, 0x45059560, 0x0e06894c, 0xa1fc1b20, 0x05a0ca31, 0x84ce2c9f,
+    0x43dabcbd, 0x2e241618, 0x4cb2eda5, 0x8def3213, 0x9c6cdc4d, 0xfe6544ce, 0xca000770, 0x6625233c,
+    0x6f70f586, 0x15cb692c, 0x9a16b27c, 0x343d619b, 0x4ebdd51e, 0xfd7fba70, 0xe9ea0413, 0x852d15ab,
+    0x5714a5e3, 0x449eb3e4, 0x452e1b65, 0x23fa63cc, 0xeeb65066, 0xe2b26adf, 0xb745459f, 0x0141b6d2,
+    0x3443b47a, 0x654114f4, 0x7a8c2803, 0x6ffe8853, 0xa4a1de89, 0x99bd27dd, 0x227fb6a7, 0xae2a1c90,
+    0x81ed7aa1, 0xa002c0ea, 0x77a2e687, 0x84926a6b, 0xec2e6aa3, 0xfa664c6e, 0x6390ea79, 0x76daf30f,
+    0x00bb9fd2, 0xb84308e0, 0x351a83e1, 0x95083b13, 0x5283b17e, 0x2b3fd747, 0xdeeb2d36, 0x7d74e14b,
+    0x7ef31096, 0x15c65e08, 0x4cb45a81, 0xf6c1845b, 0xd3722789, 0xd9b59da2, 0x20551011, 0xe4b5dbef,
+    0x60d3e0f0, 0xc3d3775f, 0x1cd03e4b, 0xe6300cbe, 0xf5fdf0b4, 0xfffe4217, 0x0d1f3a56, 0x3cbb9f82,
+    0xa11894bc, 0x4e280f43, 0x1adab52d, 0xe2e110d1, 0xb3469613, 0xf4503d28, 0xdf18fdb3, 0xa22731f3,
+    0xa3a065b1, 0xc15602bc, 0x526db780, 0x436f872b, 0x1ce17e6a, 0x8c7f130e, 0x3297c780, 0xc87894b2,
+    0x8d28b2ad, 0x8f7e1e69, 0xbe3089db, 0x60a4d610, 0x4e8b8e69, 0x7b0b1fb3, 0x91b2f1a6, 0xc8b91af7,
+    0x4be67497, 0xfbacfd36, 0x3f2e2ae2, 0x3e998dd0, 0x05aa85f8, 0x94d01fba, 0x0e5ec4f9, 0x00db902c,
+    0xc1392931, 0xfc96e0a8, 0x33d339e8, 0xa5cf3ec1, 0xae297648, 0x9efeecc6, 0x7b0ccd71, 0x6ffa4e3c,
+    0xf7229996, 0xaf9c6c3c, 0x2a781670, 0x9c038817, 0xe8e9af92, 0xa47d2df9, 0x54e408aa, 0xe0812d5a,
+    0xa0dea4dd, 0x0eab8398, 0x5b1db113, 0x44bd3a32, 0x0302fda2, 0x9f2a9030, 0x5c6d3e4f, 0x2459cf74,
+    0xed9fbdc1, 0xece68a41, 0x302b0c03, 0xb601f507, 0x62e4da63, 0x10ee9738, 0x04de4fda, 0x9950f951,
+    0x63e1c8c0, 0x2eddb3b6, 0x2f6128f2, 0xe0087ed8, 0xa823cddf, 0x9a1e4e24, 0x128ebed3, 0x308a464c,
+    0x0b1acf3a, 0x6d24d747, 0x8fdb262e, 0xd481e5cb, 0x989ccaf1, 0x8e861f3e, 0xc46666a7, 0xc17bbc72,
+    0x5d1e08fb, 0x66d02bf2, 0x869b71e1, 0xecde460c, 0xbd4accd1, 0x1d910080, 0x19e5ec33, 0x8ca47b3b,
+    0xd00c4016, 0x38bec250, 0x1b3de7fc, 0x9a9c3190, 0xb1ff9a8f, 0x4368c8b6, 0xaa42fe75, 0xeae301f8,
+    0x787a39c7, 0x716fc5b8, 0x0dc7aabe, 0x5f23120f, 0xe50606a5, 0xb187dafd, 0x66a005ba, 0x01ea104d,
+    0x7df89bb4, 0x347a7449, 0x2009d115, 0x3a5cc0d1, 0x30bbf279, 0xb9d3846b, 0x1ba27a68, 0x95f7a779,
+    0x262f403d, 0x2f9eddd1, 0x4efa5298, 0x02e8d845, 0xbf259689, 0xb90e9d05, 0x1c9adc25, 0x84dbd5f2,
+    0x8a013d6e, 0x05998079, 0x05a4108e, 0x11ed1435, 0xb3b1f064, 0xc304e23c, 0x39589c60, 0x5e6c7215,
+    0x72993cc2, 0x0b6e9874, 0x289315b6, 0x931f2e08, 0x0dd58c4c, 0x8df2e672, 0x2f5271a4, 0x29b8647d,
+    0x369cc864, 0xd66ad482, 0xc4e1566c, 0x94b4596c, 0xbb8a1c9f, 0xd9642bfd, 0xb985b242, 0xd0eedcf2,
+    0x40190474, 0x1a2d2168, 0x0cb88347, 0xfb9cb7b9, 0x73deac24, 0x531390e1, 0xd051ef52, 0xffb1bf92,
+    0x1fa99dc3, 0x02d41604, 0x41a73e7a, 0x8b10f7d0, 0x9d55feac, 0xc4cd5518, 0xd923cb90, 0x51f11d33,
+    0x228799a1, 0xcdda87ba, 0x83a92d11, 0xb2bca954, 0x0edad516, 0x09d26627, 0xa4240846, 0x231ed0d2,
+    0x3d5a113c, 0x952a32c9, 0xa47478a8, 0x86721791, 0xcebd6cdf, 0x6c421071, 0x93167d93, 0x59e28828,
+    0x38794ed8, 0xcb4f6ffd, 0x7a07d23f, 0x84415e31, 0x832b4faa, 0x9f71a9d8, 0x848ec9ea, 0x7e7a40be,
+    0xfc74f5b1, 0x2a90a07a, 0xd51c24e3, 0xd127c059, 0xc1afd73d, 0xecc9a9ea, 0xe3e21b90, 0x7bdf035a,
+    0x7d0e6aa1, 0x9d0276e7, 0x2f95d071, 0x2e04b83c, 0xf7f66682, 0x2ccf48c1, 0xb1c05c25, 0x56550ccb,
+    0xb55c724d, 0x8d6fb7ca, 0xe7eae215, 0x43fb217f, 0x9a714062, 0x03ad42a3, 0x3e5cfaf1, 0x9c99bacf,
+    0xcaf3e3ca, 0x1ba47c0f, 0x816f61fd, 0x52bef940, 0xa084923b, 0x4cfa7be8, 0xeb284614, 0xa2c46b98,
+    0xc3bcd339, 0xc096569a, 0x48d3921a, 0x3c7afbee, 0x3b48548f, 0x97137f92, 0x43d942f0, 0x2c9946e8,
+    0x15883512, 0x9d887f59, 0x1d8cf054, 0x3e8efdaa, 0x53460c7b, 0x19faecd9, 0xa3755153, 0xc1096765,
+    0xa078d956, 0x6adf013f, 0xc74a16cf, 0xa69e9ed0, 0xec98fc44, 0xc7c81b5a, 0xb57a04b8, 0xde95969e,
+    0x0f4abe13, 0xa72d85c9, 0x7dc1a82f, 0xc61b1a6c, 0x91844245, 0x522cf414, 0xdd057b50, 0x511ef7c6,
+    0x4f7ed6da, 0xafa1b045, 0xb9f43b52, 0xe8a312d6, 0xbcd437f7, 0x43a573e3, 0x428853fd, 0xdbaf593a,
+    0xe54d7ffe, 0x2306a320, 0xe1a58c9b, 0x83ace1f8, 0x4353c9c8, 0xb7d0da88, 0x14c111f7, 0x47b22dd2,
+    0xa12efd7a, 0x454a4875, 0xdf3b1cbc, 0xf18ac464, 0x9a0651bd, 0x50d56263, 0x41988db2, 0x40755644,
+    0xb7a6e218, 0x85e5515e, 0x75e9d02a, 0xc7366605, 0x2be7b611, 0xed6006c7, 0x2203eb0b, 0x35eb3f43,
+    0xa400dcae, 0x76759d1f, 0x82736f15, 0x78c0955c, 0x3a0942c9, 0x6a9e551b, 0xc1b8fccd, 0xe2ce5ccb,
+    0xf2eda90a, 0xfc1c3a98, 0x93a89bd3, 0x90b99a83, 0x17eb36b8, 0x7b8d4a30, 0xa356acb8, 0xbce5b0d9,
+    0xd6f01170, 0xcb82f35c, 0x47348877, 0xc36114cc, 0xe2aa0ead, 0x9fcd70f4, 0xbcfcbe9c, 0xc6b17a03,
+    0xa4461c4c, 0x959ce47d, 0x03bef322, 0x0398485c, 0x9e9a4118, 0x715e7d33, 0x143ffc3e, 0xb79ab8fe,
+    0xe20e5fdb, 0x2f878407, 0x6f556b55, 0xbee0ee8f, 0xf15cd34e, 0x6d668e3b, 0x6756564d, 0xeed72bec,
+    0xf7b7e30c, 0x48c4fc9a, 0x6fc5277e, 0xca807dae, 0xb03d6065, 0xac8581bc, 0xc868e8e1, 0xcf0f9be6,
+    0x0c4c48c7, 0xa44f8c0a, 0xd7bc6f85, 0xc358cd1c, 0x4baaaffd, 0x96fd2c9e, 0xa19ea1b0, 0x06275eee,
+    0x5a6c4c96, 0x8ddb50ee, 0x43f5b3b6, 0x25f9c5a3, 0x10daf394, 0x25ca768b, 0x1a13c8d4, 0x75af1cb3,
+    0xfabcea2a, 0x56c39b72, 0x1f121b40, 0x88928fe2, 0x2215ea14, 0xc1e26251, 0x437a3570, 0x402df9d5,
+    0x783c6313, 0x6fd3137d, 0x4407f4fb, 0x350760cd, 0x57927cb5, 0x2016c57b, 0x59d02402, 0x1debff6b,
+    0xd295e773, 0x6c752f36, 0xbdeefc0c, 0x544e19e6, 0xf91fb710, 0x016c4f9f, 0xebe3ad3b, 0x0c16e675,
+    0x9c94e864, 0xda54f9e5, 0x7d413c6d, 0x310b7da6, 0x1cc2aaa2, 0x24e25349, 0x667d8cc2, 0x56c80e12,
+    0x0c60ada9, 0x8f994235, 0x5c852978, 0xacd2a663, 0x7b30f8a6, 0xd79e0d3f, 0xe14be913, 0x45825d66,
+    0xcfc63ccb, 0x77edfd77, 0xc48dc7f2, 0x5b60d857, 0xfaf6a399, 0x4e1ca5ff, 0xe56c36ad, 0x2a3b7658,
+    0xa4d3e07c, 0xc091c91e, 0x4affe0ce, 0xf21b0846, 0xaa176a63, 0x563b342e, 0xadfecbf3, 0x288b9f0e,
+    0x24d3c7e5, 0xfb17a980, 0x5cfd36cf, 0xd6647c6f, 0x6af9f180, 0xa742da9d, 0x61562b3a, 0x5058778c,
+    0x9db0f279, 0xfb51f2a1, 0x4f7b3cdb, 0x00052aaa, 0x7f986a72, 0x4e71b65e, 0xf0980d99, 0xdd7f0b2f,
+    0x45e8631f, 0x1f89a4ec, 0xb388dbd5, 0x314cce8b, 0x45235306, 0x9d22826e, 0x8ac85a52, 0x2e8699a0,
+    0x64ec3ed7, 0x81a8fce1, 0x28a3a45e, 0x97bb9ae0, 0x22aacb02, 0x900e8826, 0x5b410b37, 0xabee8df1,
+    0xf4cb4d10, 0x55cd14bf, 0x2326529a, 0x46d820f8, 0x2c387838, 0x4d6c490c, 0xfc6f5553, 0xcbdc198f,
+    0x0999ed75, 0x1c3ebd6b, 0x3840c0b9, 0xa103e792, 0xca4d170f, 0x8a43da26, 0xebdc64f5, 0x2275662d,
+    0x418540c2, 0x88779ca8, 0x1410e6bb, 0xdfc660ee, 0x0dc306bf, 0xd2958592, 0x43a6264f, 0x92927173,
+    0x1e8789fa, 0x2bef0423, 0x4be3e005, 0xa492fda1, 0xc6cb2eb9, 0xffc8a1b8, 0x793c9231, 0x54751c7c,
+    0x426de057, 0xccfedeb2, 0xb1ffd85c, 0x62da4a5f, 0x5da22421, 0x741588ac, 0x8fef42a7, 0x0eb42a51,
+    0x09b99c6c, 0x7e4ea636, 0xc2a9f2fa, 0x3ea43bfa, 0x887b0576, 0x00324b62, 0x5e5cad95, 0x48f021c4,
+    0xc72ff28f, 0x31058223, 0x86735e87, 0x07a14dff, 0x0c89602c, 0x6b1fd0d8, 0x90c9d5c0, 0xab8008b7,
+    0x5e82778c, 0x45e5d9e3, 0x32ef787e, 0x65e2fae9, 0xddc80c60, 0xd4182ff9, 0x11bfca75, 0x977839fd,
+    0x0d346f78, 0x397a048d, 0xc5f0b7f5, 0x3054214e, 0x03e35f47, 0x4a8fdf49, 0xe9338e42, 0x689db6ea,
+    0x2699c696, 0xdd6cccf2, 0x4c8f3e27, 0xf087dfbd, 0xda3104f9, 0x3f4ed5d9, 0x4385055d, 0xa4477733,
+    0x84d754b5, 0xeea6a894, 0x1a50c363, 0xf4d35e18, 0x9c2e95b3, 0xd2b323e7, 0x4d2c7249, 0x1d390da2,
+    0x42fc8568, 0x6acb2248, 0x8597e843, 0xcdad396b, 0x19ce1863, 0x31dc1587, 0x2861ef1b, 0x102c17f4,
+    0xee4a3963, 0x2a64e7ec, 0x45673e85, 0xdba2e15e, 0x4e40b8c7, 0xf92e617c, 0x215e8926, 0xb09870f0,
+    0x0cda0e32, 0x1c1785c5, 0x57ee730b, 0x116c5ca9, 0x7ae7a14a, 0xef485fe9, 0x10a90874, 0x7fecec46,
+    0x0100031b, 0xd2773527, 0x044957af, 0x54677a8e, 0x5be73a02, 0x9756689e, 0x1dffacd7, 0xf177a767,
+    0x0ddfe304, 0x129b3be0, 0xd100b0c4, 0xb7283239, 0xbc799245, 0x60c9f527, 0x16d3fb2f, 0x49458d81,
+    0x00d1339e, 0x9a44ad54, 0x5741b339, 0xf77f5bb3, 0x61b63eb2, 0x755c4673, 0xac151d5f, 0xfcf3b9bf,
+    0x09374e73, 0x66120c9a, 0x21678ff7, 0x469b0bb0, 0x6903d003, 0xb103e4f7, 0x44d1c178, 0x5a9db35a,
+    0x8af4c2be, 0x29cdabb8, 0x623c5c2e, 0xe91b1414, 0x13643216, 0x09a5f1f7, 0x651fc37e, 0x48244b6d,
+    0x5f1a143b, 0x258ea4b0, 0x4dc00302, 0x7871a74a, 0x55e518ad, 0xc3be347e, 0x87af0998, 0xc7a32b63,
+    0x90099c7d, 0xb496a717, 0x94ada752, 0xf4f719ec, 0x0be5826b, 0x3200ea3b, 0xa683e39d, 0x5592f231,
+    0xfc77f69d, 0xdadc7aab, 0xce38b25a, 0x532fa920, 0xeedbb112, 0x3a9200cd, 0xeaa4f7b0, 0x1eeea852,
+    0xd52967bb, 0x80fe4d2f, 0xdcdf7208, 0x016a91d1, 0x951047b1, 0x685825d8, 0xc17d2e08, 0xd195f63e,
+    0x178fac9d, 0xb86d8ea8, 0xf78fc094, 0x33292194, 0x4f596603, 0xd32daabe, 0x8cb190bd, 0x0336e589,
+    0x781f91c9, 0x81e416b0, 0x9624930e, 0x5935406e, 0x53eb4c3b, 0x19ce016f, 0xe7634247, 0xd0976052,
+    0x2bbb0727, 0x2cc89379, 0x8faf9490, 0x74d768da, 0xc45cac2b, 0xd95eb13f, 0x09033f2f, 0x2a588e85,
+    0xd0517961, 0xc7db2923, 0x59088983, 0xdbe8135a, 0xde4f216c, 0x9de9e5b4, 0x977089f0, 0x9bb7d96c,
+    0x0b7aa1cd, 0xd093b037, 0xa181ef1b, 0xfaae0172, 0x31d34b23, 0x3a9fb3f9, 0xf7d61a60, 0x3d45c6e0,
+    0x477a33e9, 0x09467b57, 0x83f72c85, 0xfe46560a, 0xf4911417, 0xc381be10, 0xa69461e6, 0x4309a5c6,
+    0xd500f82a, 0xa94613e7, 0xa08cb72a, 0x9b260894, 0xbde293f3, 0x95ef53f7, 0x21ad2613, 0x72080821,
+    0x654273bc, 0xae810157, 0x675ac2b5, 0xba3975a7, 0x670077ef, 0xe757d406, 0xbbf10407, 0xcc23516d,
+    0x7128a81e, 0xb45ab4f0, 0x131b59b1, 0xfcc909e9, 0x15d511ef, 0x96f1bf76, 0x4052446c, 0x30791e99,
+    0xfdc1d751, 0x93e11198, 0x399220ae, 0xee1925b9, 0x605be163, 0x26452121, 0xda7a5ebb, 0x70ab3893,
+    0x059d9af1, 0xf61ca1f9, 0x74bded1b, 0x963f139c, 0x97a910c9, 0x86b66f99, 0xb068fdde, 0xb001fc99,
+    0x00000000,
+    0xc497d56b, 0xbaa3e747, 0xcca1fbd3, 0x5cf0b3a0, 0x36d59010, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b,
+    0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000733919557116822883715462686496\
+                         66782105490079653384995959602842860381532034831513858240593699524021969747968 */
+  { 0x00000000,
+    0xd9a6056f, 0xc5d51dd0, 0x9f448acc, 0x422d25f2, 0x79cc5587, 0xe443a206, 0x1eda1907, 0x75895774,
+    0xbb72c307, 0x94e7257c, 0x92b5c9d8, 0x1de4082e, 0x84d3f504, 0x8312ce68, 0xb9b6b71e, 0x84a600b9,
+    0xb41f47bf, 0x2709ec45, 0x31e238fa, 0xed4e2996, 0x9fe42380, 0x1adda524, 0x48c500d0, 0x64951a2d,
+    0x4e5f7cc9, 0x47f381b0, 0xf80b49c3, 0xd1bd5c90, 0x5cee7c75, 0x6c118150, 0xd09f9911, 0xab42e1e2,
+    0x6734388e, 0xbb332a6d, 0x5ab672ee, 0x3887698b, 0x7d902c72, 0x7a805243, 0x97cff348, 0x316fed8c,
+    0x1a17b807, 0xd54107cd, 0x72f2a2b6, 0x6c9bb20d, 0xb66882b8, 0xa0c08a25, 0xa1bfe674, 0x52cc66bf,
+    0xfdc445c3, 0x2bdd7890, 0x876d07f6, 0xa06cb3e7, 0xb07aa950, 0x14ca9ee0, 0x7c06fa75, 0x99285624,
+    0x878a636d, 0x4ea8256f, 0xcacea9ca, 0x81be6466, 0xb5df0b7e, 0x33e05aa3, 0x95835d12, 0x82f22989,
+    0x635d571a, 0x4299572c, 0x7a67b33f, 0x233dc0d7, 0x95be9d5a, 0x6b4287ff, 0x66aa7a6d, 0x23463344,
+    0x74444499, 0xd6a4a727, 0x836c55be, 0x163d6d20, 0xc6b2f52f, 0x6dad6a56, 0xc01ad326, 0xe0ce3e92,
+    0x67c18d2e, 0x73c8ed02, 0x338b87ee, 0xf1319e92, 0x26510b97, 0x9e041e26, 0x966aeabe, 0xe70af1f3,
+    0xb1be00ca, 0x555c08a1, 0x5fb1ed1d, 0x805d8d79, 0x0daee5e1, 0x9098504b, 0xc4cae44a, 0x197612c6,
+    0x16f5bf40, 0xf1d57c1a, 0x8dde6c40, 0x9c30de23, 0x7f561c8c, 0x969dde97, 0x39a624de, 0x8d466a00,
+    0xe5e39522, 0x5da5c20a, 0x5dbbb5d4, 0x213827a2, 0x26363d09, 0xa535caec, 0xed9d8ede, 0xaf383fb5,
+    0x1540a395, 0xd16d9ebf, 0x17d07028, 0x815c90e7, 0x0d7bfed4, 0xec854ccd, 0x4f77613f, 0xbad7e18b,
+    0xa4760474, 0xd5018eb3, 0xc0d94a54, 0x9184cfa6, 0x873b7777, 0x526d2e02, 0xafb9a196, 0xc260d30f,
+    0x32d306a1, 0x6dd7ae7f, 0x23dd8079, 0x011e3617, 0xd1bd29f5, 0x95305056, 0x75ba284b, 0x57bee434,
+    0xc067b3ad, 0x659d1b9d, 0xd4545d37, 0x06f3c9fb, 0x945cecea, 0xa062b026, 0x30cb5b5b, 0xc0fe4284,
+    0x6bce0be2, 0xae9258a4, 0x70879183, 0x141b9fdb, 0x837c8e94, 0xd7a7b77a, 0x600d99d0, 0x6f4ae9dc,
+    0xc0dd3f20, 0x74b996ad, 0x0aae7d6c, 0xfdff85a6, 0x5c3eafe4, 0x905bbaa1, 0xe93a2d0b, 0x7dc45ed2,
+    0x37983433, 0x4f197e7c, 0xf49c5b2c, 0x1756ff19, 0x7d9babb4, 0x5721bed8, 0x03b9f25c, 0x4648b2af,
+    0xff14c895, 0x7e4db1b3, 0x3207b4fb, 0xdc9e5f7a, 0xfb7ace99, 0x3b818fd9, 0x2ec00452, 0x42b6760d,
+    0xbb1dd57c, 0x05750e24, 0xa138bcd8, 0x47708c0f, 0x84c4fbbd, 0xc22ce9e7, 0x3fed9d60, 0xb933701e,
+    0x9390b4c3, 0x0be4c4f0, 0xa056b562, 0xff16e3c7, 0xae64fdb9, 0x69f358a5, 0xebbffff8, 0xa64e8abd,
+    0x8d07a1ec, 0x0231a15b, 0x571823ec, 0x6ebd720e, 0x308e6e34, 0x041583c5, 0x46928e8e, 0x35e7aaf3,
+    0xfbd2b17d, 0x6bd1d76b, 0xe38ca1c0, 0x50667d32, 0x9f647f77, 0x64066ad9, 0x0e470fa7, 0xd38e5769,
+    0x2542bda8, 0x6f6d61b5, 0xec763225, 0x28160d3f, 0xbc7862f8, 0x236a51e0, 0x76339958, 0x3271d882,
+    0x056f56be, 0xef53b7bf, 0xf7bb5c0d, 0x1cccb11a, 0x185b9769, 0x1641c058, 0x9f86a2d6, 0xdadb2f2a,
+    0x60195c16, 0x5d3c9ed7, 0xc6a6fd8a, 0x7dcc7b2e, 0x22c8d3d0, 0xec9db233, 0x73e04988, 0x66b5f857,
+    0xd63989b6, 0x9673c091, 0xd333f326, 0x840679bc, 0x4e71701b, 0x13cb1fef, 0x0f780c85, 0x239c90fe,
+    0x00e964f3, 0x6bede30b, 0x0beda420, 0xe399f5b7, 0x69955af3, 0x0df8acaa, 0xb75aeb2d, 0x4a45f3d1,
+    0x77b14139, 0xb099d494, 0xf80d8929, 0xeff02cfc, 0x3a4ed867, 0xde6789f7, 0x12019ac4, 0x2e442b33,
+    0xdd9d0de5, 0x52819449, 0xcc8fc720, 0x6e389aca, 0xf8b1e797, 0x2c21586a, 0x8b4ee8e0, 0x315b00da,
+    0xf8a20e3f, 0xb5436982, 0xac4146f2, 0x8f65425f, 0x4331c111, 0x93656fb8, 0x8ef77719, 0x63633968,
+    0x88f93217, 0x04e01b66, 0x879d6891, 0x0abd78f6, 0x477c1763, 0xaf0ff69c, 0x60fa16f1, 0x48783a37,
+    0x7a000c3c, 0xf001cd1e, 0xd798e3e2, 0x42712090, 0x54a930af, 0xf2e1d144, 0x3b931f12, 0xf625973a,
+    0x1743e86e, 0x568ef620, 0xad47ab89, 0x79a32ec3, 0x57067412, 0x2394d136, 0x73030af0, 0x19846a32,
+    0xc6d2b0f4, 0x9c64eb64, 0x8b18aa8c, 0xcb374b18, 0xd8ef3c7c, 0xa566a256, 0x136add85, 0x6ca10d7e,
+    0xdca98f8a, 0xd6c56d6d, 0x01452e55, 0x86391a00, 0xa2069277, 0x378c13a7, 0x527d6e70, 0x223e942a,
+    0xb445c760, 0xfb39dfc1, 0x8204d92f, 0x9898ce96, 0x8ba932f6, 0xf497b8b8, 0x1a64dc12, 0xf7feb5b2,
+    0x23b0abdc, 0x3bd178a0, 0xee9e1df6, 0xb7a92921, 0x02b8bedd, 0x2386c206, 0x3132943f, 0xa12213d0,
+    0xf8f014aa, 0x7ee5784e, 0x323a1915, 0x6b1f26f4, 0x4877c254, 0xecc40f2a, 0x60ccfbd3, 0xd18cc902,
+    0xacb17d2a, 0x97d210a9, 0x331dc269, 0xb8d55b63, 0xd9c22986, 0xae1aef1c, 0xfc36a61d, 0x2e050934,
+    0xeb76e413, 0xef8279d8, 0xc8779e37, 0x2163bbae, 0xde9e9589, 0xa6e72b25, 0x6a8e7154, 0xa3751b76,
+    0x27ac15bf, 0x58a846b6, 0x3613d0b6, 0xaeb0dbea, 0x28d62b3e, 0xa017e0cd, 0x12fbbd2f, 0xb276ad10,
+    0x26a3c9a2, 0x31d9756b, 0xfc2ac94a, 0xbe0a6786, 0x673a5436, 0x446edc83, 0x354ee785, 0xadda7b24,
+    0x414f2984, 0x66f0de2e, 0x10e50a4a, 0xf497fe36, 0xe59da464, 0x4baedf23, 0xf6356bed, 0xc586d554,
+    0x0d9327e2, 0x80c54d1d, 0x972afafd, 0x8659c817, 0xfa4939cd, 0xc5e5a90e, 0x07f811c5, 0x100186d0,
+    0x5d7d6ca9, 0x69208cd0, 0x38429e0b, 0x9cee9ee6, 0x57969698, 0x0b742252, 0x60e22c67, 0x2eb788f2,
+    0x575e8295, 0xecfd04a4, 0x7de6673f, 0x25de070d, 0x8ddda508, 0x92799e10, 0xf9d4cc61, 0xd6a301e6,
+    0xa1630157, 0xab93da11, 0xd5fdc53a, 0x9b86fec1, 0xd5d338d6, 0x6dfba9c0, 0xa6134e45, 0x52afe1da,
+    0x8554e313, 0x5e448b15, 0x89c53948, 0xa2a74d44, 0xf22bd933, 0xd9f89bdc, 0x86f70f3a, 0x9a4a8537,
+    0xe5cb2659, 0xe81e2623, 0xb36c5e12, 0x3679881a, 0xe34bb0aa, 0xfc5ccf53, 0x0a821a9e, 0x528ed2b3,
+    0x908d5011, 0x91ad8e6b, 0x9a8cba10, 0xc4bcc612, 0x44d2b3b9, 0x421c9364, 0x21204355, 0x46f9f56a,
+    0xbb2511f3, 0x3e74611f, 0x33b21a7a, 0x59468b78, 0x3f8327f2, 0x421a0b6f, 0x44ba5481, 0x806a5766,
+    0xe338d0d2, 0x184deb5a, 0x6ada929c, 0x86ca6d46, 0x537f8951, 0x69e3bc8d, 0x1155801c, 0x063f18cb,
+    0x0647ef0b, 0x0fdec62b, 0xfeca46ab, 0xbb88040e, 0xbb2d5cd4, 0xbcd69bd6, 0xb30659f0, 0x02ae4be4,
+    0x20c99dc8, 0xfcdd30bd, 0x407cb21d, 0x48bf9510, 0xac5e0738, 0x6f0f50ec, 0x006df936, 0x478a7bed,
+    0x78e35c1f, 0x38dd8f2e, 0x3220da47, 0x31791748, 0xdcd6b1f1, 0x8cc05924, 0x14b4226a, 0x89ac3f18,
+    0xe5b6ea5e, 0x447581ea, 0xe290ff8c, 0xf240ac9c, 0x99008818, 0x91f37a35, 0xa76c078d, 0x25d44e25,
+    0xff291221, 0x7135e8e8, 0xaa79be13, 0xfc7dc7bd, 0x16e5752d, 0x00ff30c4, 0x74d806a1, 0xed61a791,
+    0xc79020b0, 0xfc28a121, 0x063de31b, 0x84dec2b8, 0x6407bd31, 0xa7ea087e, 0x4097c607, 0x373172e2,
+    0xa24d8a53, 0x898ee2a2, 0x133c7c86, 0xb19fea12, 0x11455f9b, 0x3b599e72, 0xa09afa3c, 0x6d8d9534,
+    0x5c5238f0, 0x3f86a7ec, 0x60ee08d3, 0x5b5d1193, 0x7ea9e6d0, 0x46e1ab87, 0xed17066e, 0xcb484d68,
+    0xc6676c6f, 0xe9a00620, 0xfba86b35, 0xb89fb036, 0x9fe4a6f4, 0xe78c149d, 0xa5fbfa58, 0x6e05671f,
+    0x8154c91c, 0xa21dbcdd, 0x570c3071, 0x1949948d, 0xbd609761, 0x1b77a04d, 0xa931dbae, 0x9fcdc680,
+    0x10e63a91, 0x2620f092, 0xaf5e3cdc, 0x3992b6c5, 0xc2687a55, 0x87ee548e, 0x0695e0ee, 0xf7e5acd4,
+    0x8d504527, 0xd9f7fb45, 0x5ad80205, 0x1308901f, 0xd88e4397, 0x0cd7576d, 0xdbdd6fb7, 0xb69cb998,
+    0x1177a63d, 0xca1fee06, 0x6eff1387, 0x86411447, 0x4f900bd0, 0x6074bd66, 0x10376628, 0xa21447d6,
+    0xf4c5053a, 0xe9ad8755, 0xe65871f7, 0xa66e465b, 0x6759132a, 0x3617c252, 0xf8c53670, 0xbf59de6f,
+    0x9f0fd351, 0x2d03eabd, 0xf6fa5533, 0x18b8aaff, 0x2c34d97f, 0x7e0b6170, 0x0633416a, 0xd9e5bc07,
+    0xa50a4d0d, 0x441af17c, 0xf541c687, 0xccce361f, 0xc282d7bd, 0xeb3f7f59, 0x039b98bd, 0xda5515e0,
+    0x21384d13, 0x8a4fe7b5, 0x3e10d1d6, 0xe1720d38, 0x4968d59d, 0xa4cff835, 0x31450a6d, 0xe5151009,
+    0xb3a5a1c2, 0xd03326f0, 0xa4d64a81, 0x21ad9dde, 0xc499680b, 0x8f21e53d, 0x7e1f9b63, 0x4b087358,
+    0xb42d727e, 0x0579c2bf, 0x5684c370, 0x8db2fa7b, 0x76eea7b7, 0x0170df02, 0x4a2d2c41, 0xf10235ad,
+    0xa9cbf5ac, 0xfc2a782c, 0x86850a41, 0x571c5341, 0x1300d61d, 0xf9c671f8, 0xd26139c7, 0x6b78711a,
+    0x056958b0, 0x19e0620f, 0x03c7d908, 0x579add0a, 0xa502d8f8, 0x6277a9f6, 0x19cb6754, 0xf94aafb2,
+    0x83f400f9, 0x5094a190, 0xf230a116, 0x54ef02c2, 0xa2509aa6, 0xdd4314f5, 0x207e29c6, 0x51f0ad18,
+    0xe270fa97, 0x719eed49, 0x12ce2f75, 0x29c6be55, 0x3e60f5b0, 0x6eab2877, 0xb727232c, 0x75149a7f,
+    0xc1b05542, 0xd963808a, 0x845d6d61, 0x2b508aa7, 0x51d12b4e, 0x3e981e25, 0x39662d60, 0x1b28c22a,
+    0x93c467e5, 0x5d5ff39b, 0xd4a97b8a, 0x2ca0e8fe, 0x47977a3d, 0x9b84c90b, 0x96ee54cf, 0x0720999b,
+    0x6f543ffa, 0x4adf7619, 0x2fc30104, 0x29050ac3, 0x693d7668, 0x9ce9c631, 0x47cd2b8d, 0x39e62ccd,
+    0xd12bbb53, 0x29bf9b20, 0x69d23700, 0xaee12bc6, 0x917d87f7, 0xa8f39b31, 0xac4e4054, 0x8f02ee8e,
+    0x053bb405, 0x08cb00b7, 0x320e1dea, 0xf51baf23, 0xedb030f6, 0x470f9662, 0xaef5cf02, 0xa8452e71,
+    0xf63d26b8, 0x071f9c27, 0x07952b2c, 0xc8a1af2d, 0x902bb2a3, 0xdc5b39b2, 0xfbcbf966, 0xdbeedab6,
+    0xad1648fd, 0x20d65b95, 0xbdc1bb06, 0x36fae655, 0xe596fc64, 0x7a84363a, 0xb227d13d, 0xc7adf1af,
+    0xda2af87e, 0xbc76da9c, 0x3c7e59fa, 0xddf8524a, 0xc6cb9324, 0x17de6acf, 0x301407cf, 0x4ca0284d,
+    0xd83f8558, 0xd23d476c, 0x41ca78bd, 0xcac8543d, 0xa25ca617, 0x9ae7d00b, 0xe4fbab8d, 0xcba8800a,
+    0xb8222862, 0x3f45190f, 0x784c9fe9, 0x01f13546, 0x57797084, 0x665dd314, 0xd307a044, 0x1f4d71aa,
+    0xebc459c8, 0x5d78f748, 0x6b040861, 0xe377057c, 0x79ee7cd2, 0x12000fb7, 0xdaaa2496, 0x8367cbc2,
+    0x106ebd30, 0x15d488e5, 0x47cab901, 0xce5dd17c, 0xbedb3078, 0x1239690c, 0xd6543076, 0xb2dcfbf0,
+    0x26373c85, 0xa2c10736, 0xf94aa458, 0xbb7b412a, 0xf9b5b4a3, 0xf4d5643a, 0x9ba5929b, 0xb4bb8ec0,
+    0xb35111b3, 0x35dda9ca, 0x0f1f2f94, 0xe5cc0587, 0x79dc1429, 0xfe118a9f, 0x47d3edeb, 0x0a20ca12,
+    0x95346e33, 0xb71ce186, 0x3f8cf86b, 0x3a427fc6, 0xf0c06db1, 0xb8402457, 0x432cfcc1, 0xa12a926e,
+    0x465ebf67, 0xf796b2bb, 0xc56a4431, 0xa1639f42, 0xd06ba5a3, 0xa8d9d9a6, 0xaac90695, 0x5a222421,
+    0x18a2575d, 0x6addb4e8, 0x9a985de2, 0x509fd115, 0x2d5bd027, 0xc69881a1, 0xced3023e, 0x95d6bc79,
+    0x4f0ef9ff, 0x927c31a2, 0x61fe8c7a, 0x02cfca11, 0x9ea3d5aa, 0x151553e0, 0x0e0caf8a, 0xbe0de2b2,
+    0x8d48c92a, 0x157505af, 0x0850f167, 0x7726523d, 0xea244556, 0x0642fcb8, 0xa8db5cba, 0x92816ebc,
+    0x5289409d, 0xc8180455, 0x15dff35c, 0xd9accd70, 0x9b609d71, 0xb28d6c05, 0x1da9f138, 0xfa4bc7cd,
+    0x110628fe, 0xd1943a4a, 0x5499f424, 0x10fc2ee7, 0xb2f2c06e, 0x24d8eb61, 0x9163a06a, 0x1ccbc30c,
+    0x257ab774, 0x0a3fc9dc, 0x91404a3d, 0xb2a285ec, 0xb935e852, 0xa45cb00c, 0x61e0eefd, 0x3a9a394c,
+    0xbdd293af, 0x0a2af4bd, 0x5fe96d59, 0xe2d44baa, 0x673e9427, 0x0bf407c3, 0xd4494b4d, 0xaf2d5cad,
+    0xa59b6c11, 0xd82ea97e, 0xe64618c8, 0x9ae601e3, 0xd04a9c08, 0xa317e37b, 0x06b26a74, 0x4e742e06,
+    0x0e5022d5, 0x9384efa3, 0x9d8bf561, 0x173164e8, 0xb0eed43b, 0xe18c5fac, 0x14982f81, 0x51807801,
+    0x3558c7f4, 0x2a30c233, 0xe8660bbb, 0x59e0faf5, 0xe65bf22b, 0x5f0cb4ca, 0x455aaf07, 0x0983039b,
+    0xabfcbaea, 0x96773d84, 0xe37c8d50, 0x79bfa5ac, 0x00955aa3, 0x885f4f3f, 0xc393597a, 0x64b96684,
+    0x05b883ef, 0xbbf97169, 0x147d78ca, 0x17f1d2ec, 0xf28329de, 0x4f8d8ebf, 0x402c68b6, 0xaaf618eb,
+    0xc34c3475, 0x56632e66, 0x92e1fa56, 0xf2b9373e, 0x84c1a3bf, 0x3a4f44a6, 0xd05f6d44, 0x782f9f6c,
+    0x797f9254, 0x06a99242, 0x80379a6b, 0xc3c29b12, 0xc2e77178, 0x63ee5bbc, 0x529771da, 0x225a815f,
+    0x02a4754c, 0x5ae1e28c, 0x3455fce8, 0xa17573e7, 0xfdc42d31, 0x02602075, 0xead19194, 0xf0b16d25,
+    0x2bfed033, 0x74958008, 0x4b17965c, 0xa5f2a15c, 0x06fbb6ad, 0xb7dbf900, 0x0124a343, 0x118bdd6c,
+    0x6c43fcb2, 0x2fa7a5cd, 0x8b8bf5d8, 0xdf8753c7, 0x0f911751, 0x1bc6c0a8, 0x17d0e130, 0x9244c140,
+    0x2eaace2f, 0x90354f32, 0x65f9b72d, 0xa8351e7b, 0x4df22a0f, 0xdfac3d94, 0x2bda9e66, 0x7c4c6de3,
+    0x135aafbe, 0xff597a4b, 0x74c17ae1, 0x3a78611e, 0xd4ed178b, 0x428b2cbd, 0xa3f3d779, 0xeccf4c15,
+    0x730267e9, 0x50ac6104, 0x77ae0508, 0x9ed1ea61, 0xc1642022, 0xd4bbe7c6, 0xc5fbb36f, 0x2619ec1b,
+    0xf888ed47, 0x9dcb8e4a, 0xb574ffc0, 0xa664a035, 0x5545c29c, 0xc9aa36ce, 0x5190ae35, 0xda180718,
+    0x262bddd4, 0x93140201, 0x65ea664d, 0xb1193cb5, 0x80994097, 0x22f660a4, 0xd0faafc9, 0x8c88103e,
+    0x3b00241a, 0xd9e0d63f, 0x87cd0660, 0x8f8dd32e, 0xc67ac6b5, 0x02d8c1fc, 0xca351979, 0x0d7f180f,
+    0x821eb1fa, 0xff1ac5dd, 0xeda6e4a5, 0x281633f7, 0xd01e46b2, 0x15ada056, 0x0e8c9b94, 0x5f3b3d89,
+    0x377b52d1, 0x13772729, 0x2841db2d, 0x5602ea7c, 0x68c69bf6, 0x24cfb49e, 0x114ef8b4, 0xd95d058f,
+    0x4193aefc, 0x593c97cc, 0x70212990, 0x3a99057e, 0x1e8074b7, 0x820f88f0, 0x282ad944, 0x581a3ba6,
+    0x84f4104c, 0xfd793a4a, 0xe06ded0d, 0x2e5926df, 0x4a4e2c8e, 0x891fd583, 0x88089703, 0x9c304af0,
+    0xfabcd91a, 0x2fa1ebae, 0x98867793, 0x4aa2eae5, 0xc4ff69f6, 0xa9a368a7, 0xe0818597, 0x85dca7f4,
+    0xf6e32036, 0x589cf065, 0xbb6a3570, 0x4faa020c, 0xde766d7d, 0x51406e5a, 0xa0c4fc7b, 0xeb507e16,
+    0x2f6a7224, 0x180d094f, 0x8d5b91a7, 0x12fa4c7b, 0x5c098a58, 0x29a8b545, 0x1119de22, 0xbab509a3,
+    0xa166e601, 0x9dfcca97, 0xc393561d, 0x03e21045, 0x3a1ab8dc, 0xa50b32d3, 0x35d9ca27, 0x9618bba8,
+    0x00000000,
+    0xe24beab5, 0xdd51f3a3, 0x6650fde9, 0x2e7859d0, 0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd,
+    0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000366959778558411441857731343248\
+                         33391052745039826692497979801421430190766017415756929120296849762010984873984 */
+  { 0x00000000,
+    0x481cafd5, 0x69a6257d, 0xf62d740f, 0xd1d280e7, 0xbca5680d, 0xcd134b85, 0x4c73a4de, 0xf1c11f97,
+    0xfb0f6ef2, 0x87bd735d, 0x1b3fe05b, 0x53fb7506, 0xd2b61bcc, 0xac9ba6cb, 0xfd5f1904, 0x0e8a9ce8,
+    0x31b03619, 0x83a8077e, 0xc7ebe347, 0xb04bef22, 0xd3062e7d, 0xa99e87a9, 0x7d89315c, 0xf7c7e68a,
+    0xa3938e07, 0xdc603dfc, 0xc8df63ee, 0x2db73848, 0xca1669a7, 0xe8d5612e, 0x55b0e7d0, 0xc43696e1,
+    0xbab2c9f8, 0x9206cbc7, 0xad3148e7, 0x08785500, 0x0b652b46, 0x05593cf8, 0xec3ae75a, 0x773c7b03,
+    0xcfaa9c1a, 0x779e5845, 0x04f9be89, 0x63a6cc8f, 0x66251e4a, 0x202113dc, 0x2e0cedde, 0xfc6d4f54,
+    0x378d9754, 0xd2e7d7e0, 0xeb808261, 0xea977fc8, 0xe8e9017e, 0xac87d691, 0x89808dd0, 0xe89e48de,
+    0x128e9cb7, 0x8b2bca4e, 0xfdc6b62d, 0x6acabda5, 0x5a551404, 0xdb6b6936, 0x23776929, 0x3b0efc32,
+    0xd2323cdf, 0x8fe8f37c, 0xaa2b8c68, 0x589b3fa9, 0x0a1448d1, 0x334a75a1, 0x8cdb5318, 0xdfb7df14,
+    0x209d74c9, 0x7644a74d, 0x2f9cb2c9, 0x35055e2b, 0x22a88513, 0xcbaf542a, 0x320cbc09, 0xd12a861a,
+    0xc70885d7, 0x22441120, 0x863300fe, 0xd168da55, 0x2f80ca25, 0xfffd82a7, 0xa88a8d15, 0xf851b853,
+    0x1f1945a9, 0x279815b3, 0x81668772, 0xb8d642e5, 0x116e4f5b, 0x59e9284d, 0x0dbd4e82, 0x0f1003f2,
+    0x0b6b3c92, 0x857dd53c, 0xdc608854, 0x7417314d, 0x0e1a5663, 0xb48141f9, 0x659cee75, 0xd5ad9ef7,
+    0x6cb9ce84, 0xdf0d216f, 0xd31e47a1, 0xaec0cf0f, 0xed7ef484, 0x6a46525b, 0xac1f7c4b, 0x49afcaed,
+    0x6ff48bd6, 0x3ea47f06, 0xdc5956f8, 0x930d6521, 0x6b3ed048, 0xb72ecd42, 0x13fe850c, 0xaea20d92,
+    0x07b0cd17, 0xd2ccc011, 0xc3e9eed2, 0xdf2b1458, 0xcee9358f, 0x142d80ca, 0xdcbc86fc, 0x0a327866,
+    0x803bbdf7, 0x40afa98f, 0x1be4e976, 0x0baaf549, 0x561f0a3f, 0x55c85021, 0x336595f0, 0xff33c16d,
+    0x861bdd99, 0x686bad9b, 0x6c9894cd, 0x6e316265, 0x9a1cb24a, 0x08d88322, 0x00f63d9e, 0xaed9a3ec,
+    0x687fbc54, 0x6c8cffe8, 0x84dd27cc, 0x8feace5f, 0x58eea487, 0x6bf73809, 0xa52586c3, 0x415dfc3a,
+    0x77c4beaf, 0x625e3efa, 0x34af33fa, 0xf6e95c58, 0xbc34dab6, 0x30288d47, 0x8f5c1e0e, 0xb9e3dd4b,
+    0xa1887495, 0x6ebfae27, 0xeb647b1a, 0xacc29683, 0xe1eecdd6, 0xa3e204bc, 0x5e780156, 0xa82b2fb1,
+    0xa72df675, 0x4eabdda4, 0xacddabcc, 0xcd9ffa2b, 0xd466171b, 0x653db02e, 0xf0d644e4, 0x25b66c93,
+    0x0618fc78, 0xe1687269, 0x419d6345, 0xf60449a6, 0xf7bcf351, 0x6e9f8621, 0x5975e2b4, 0x0028405e,
+    0x397e1db2, 0x84f68ced, 0xba9aa89d, 0x19905ea3, 0xae734cf7, 0x46833cbd, 0xd83f85da, 0x5f9e41ba,
+    0x19d05f24, 0xc29abbd8, 0xac134083, 0xe5c1bf1d, 0x57680ad2, 0x39c591d8, 0x964071a1, 0xbf74ca2d,
+    0x2bae8c4e, 0x04edb8d4, 0xb5fd636a, 0x96f13d17, 0x333e1fb9, 0xd787338e, 0x7baa9185, 0x0a8b83e8,
+    0xa0646de9, 0xa449f47a, 0xb57d491a, 0x6c1694e4, 0x6de5405f, 0xced4c686, 0xf6670192, 0x9d43e351,
+    0xee1a48d8, 0x02e6d7f7, 0xd8f99001, 0x1fb9ca10, 0x56be1f25, 0x8c5741ce, 0x351b9527, 0x9a5a0dbd,
+    0x38120670, 0x7d9536ea, 0x977f2923, 0x29fbd20e, 0xb4da1dc1, 0xe0b95325, 0x2597c5c8, 0x5062a2d1,
+    0xb22246c6, 0x379936f9, 0x7551c6fb, 0x34a3f8c3, 0x45042819, 0x616f0510, 0x8738968a, 0x25831452,
+    0xb7098128, 0xefd5eb82, 0x4b95c1dc, 0x21109ad9, 0x0a077598, 0xa26299f6, 0x83d93879, 0xcde7df8b,
+    0xaf645970, 0x0c3e55f3, 0x8a01b5c4, 0x9bc61c2b, 0xfefccc07, 0xaef40a91, 0xca984ca2, 0x46c961e1,
+    0xb3b2343d, 0x186e8fa1, 0xa8361202, 0x1ba8251b, 0x9ba4fb3d, 0xfdd55a60, 0x00d2f70b, 0xf0cc6a43,
+    0xf4e87e48, 0x8006b341, 0xc7e40dfd, 0xc320e7fe, 0xdf319455, 0x1f6004e3, 0x653bfe26, 0x010b09e3,
+    0x6468602a, 0x9da58126, 0xd4251972, 0xbf851c37, 0xbaf8f026, 0xa51726a5, 0xa35864ab, 0xcfef9dd9,
+    0x8ca8b2ce, 0x19e69bb6, 0x1a5c1d70, 0xaeb4ccaa, 0x459c7141, 0x41eccdaf, 0x305cfca1, 0x88600246,
+    0x2fea3833, 0x2191bd00, 0x9da31ef1, 0x06c70acf, 0x1a47429b, 0x51ca03a1, 0x692462b2, 0x4ae1a248,
+    0x8266c83f, 0xa3218462, 0x32d49a6d, 0x09c52088, 0x5ed681d5, 0x75d4f9cc, 0x4a79797e, 0xccabdd97,
+    0xa5e51861, 0x61df26a3, 0xf4396a9d, 0x56d8d2f1, 0xd3af70d7, 0x65ffc634, 0x95296844, 0x3eabf62b,
+    0x7eacb84b, 0x8a4f9973, 0xd3f85439, 0x2ca93e39, 0x282b2dd3, 0xa17bcae3, 0x27424e16, 0x37eec2b7,
+    0x9721f3da, 0x1b301af7, 0x92a528a7, 0x493a5f01, 0xd9999c8d, 0x1830c854, 0xeb405869, 0x090d59ba,
+    0x3018cb08, 0xdb532bba, 0x837e6d44, 0x08d09ca7, 0xfe2db049, 0x7f9578aa, 0xfc63734e, 0x478eb0ad,
+    0x0dc0f60c, 0x812aaffa, 0xdb666aa7, 0xae79836b, 0x0f5cf526, 0x0038c41b, 0x1405ba69, 0x3cd66d76,
+    0x6216af9a, 0x9aa68285, 0x8b78c768, 0x91b7964b, 0x0eb7ca20, 0xd0a6ccc9, 0x4c90998a, 0xbcbcf2f7,
+    0xbd8aba17, 0xe10e6b6a, 0x04a2add9, 0x58167111, 0x0a7417ce, 0x8b29e3fc, 0xc7857baa, 0x9e87ad6d,
+    0x61925092, 0x173264d6, 0xa13caee6, 0x8e05a3a0, 0x3f19ca37, 0x0a3bf4e8, 0x7e07a7b9, 0x744fe6bb,
+    0x59c4b028, 0xf13a5c96, 0x1a022c62, 0x2a8ef499, 0x5d367a4d, 0xbea74081, 0x3f5b9a0b, 0xec527a5b,
+    0xed368904, 0x341cb053, 0x90ae29a1, 0x59b7de2d, 0xc2d40a0b, 0xf597d97e, 0x2a83b3e8, 0x2cc592bf,
+    0x50e651fc, 0xb1daa032, 0xcbb4a8bd, 0xb19e4642, 0xdd468182, 0x21c07906, 0xf14526ab, 0x436b3291,
+    0xba4ad0ed, 0x66386975, 0x308e686e, 0x93ebb832, 0x76df88e4, 0xfc0a2b29, 0x45d1a238, 0x88531bc8,
+    0x64289d54, 0x07f79157, 0xdd26b954, 0xfe4d2db9, 0x4a3cdc1c, 0x30a8a37e, 0x10c16cfe, 0x00078a77,
+    0x8c12d518, 0x75c205bc, 0xd707d0de, 0xe53d5578, 0x69ebae90, 0x4b59627c, 0x72e331aa, 0x9cf40a37,
+    0xe3f03564, 0x581a309b, 0x4523ade9, 0x32610b24, 0xbdab046f, 0x82b7ece1, 0x2f709d9b, 0xd154c9a2,
+    0xa3bbc425, 0x4261dac0, 0xbee31034, 0xdcc428fa, 0x4cb22b58, 0x7660d22b, 0xd81aa40c, 0x905cf355,
+    0xad99cab9, 0xf284267b, 0x0b71ad8e, 0x38984d01, 0xf9eaa742, 0x58d14a63, 0x3bd40125, 0xe25cf3c4,
+    0x32f57dbf, 0x24dd965f, 0x40e1256d, 0xde0d982c, 0x2f39cae6, 0x722492aa, 0x90e4a3ee, 0x623056a2,
+    0x1e12e376, 0x00c29f78, 0x9c6c039b, 0x3657019a, 0x861dafe5, 0xe0755592, 0xbf946882, 0x553b2da0,
+    0xa9eab1b5, 0x92b25bd0, 0x8cc20f9b, 0xb01fa5e7, 0xa3957fb3, 0xd30edafc, 0xa5750342, 0x500bbe5c,
+    0x201e9596, 0x7baa105b, 0x1331c211, 0xa07c35db, 0xac971030, 0xd3997d1d, 0xcd01282e, 0x6db5a10e,
+    0xfafb5fab, 0xb66608b9, 0xc0ad9827, 0x7ac011c9, 0x6d104cf3, 0xb5567965, 0x7caf3610, 0x5cfd2d7a,
+    0x0f4434d9, 0x3f152a36, 0x4d3681c6, 0xc4ba7b54, 0x18d25fe4, 0xf660dad2, 0x455a592a, 0x436f695e,
+    0x6d7484f1, 0x82510904, 0xd10dc9d4, 0x28f0975d, 0xcfa52936, 0x4397c8a0, 0x2b029b74, 0x9b8b6d70,
+    0x1a7079fc, 0x42210d35, 0x36af08ee, 0xad2da3dc, 0xbb32ab14, 0xcfa8a6d1, 0x6f762d6b, 0x0e28d7f6,
+    0xb440eb9f, 0x2712a0ef, 0xe9ef72ad, 0x73069b9e, 0xf9016656, 0xbe31837b, 0xaea9b72a, 0xbb5c2a1c,
+    0x81f8a970, 0x17720141, 0xd4726a1a, 0x77c1b9ea, 0x905e91ea, 0x6d88aee7, 0xccbad55f, 0xeeb73175,
+    0x318db1c6, 0x072a44ca, 0xfe59662a, 0xa1363147, 0x2a583941, 0xbdbb69b1, 0x21da7fd5, 0x1b0f6028,
+    0xb40e9cf8, 0x7fe1b358, 0xd81c2a13, 0xeee8f3c3, 0xa254185f, 0x808ec652, 0x5ed7d42b, 0x845d68e5,
+    0x2fc0b6ca, 0x21632cfc, 0x122a6154, 0x74bb81c7, 0x633837e2, 0x062db4d9, 0x6da6de86, 0xd4cf5244,
+    0x17741e5b, 0x6cd01edb, 0xf4bcd0bd, 0x12c7d974, 0x092a1be6, 0x936fbdc7, 0xed2a69e9, 0x72e62124,
+    0x99d3db4f, 0xba61775b, 0x2def317b, 0x68c57ca0, 0xeec35906, 0xfbb0d3a3, 0xd39a3ce7, 0x20009060,
+    0x49338c93, 0x63def57e, 0x9ed1ab26, 0x283f610b, 0xacd4fb71, 0x29fcfc6e, 0x7aaf7a89, 0x29a5c611,
+    0xf4e96a5a, 0x0d5bdd04, 0xd87d5096, 0x22dd33d5, 0x7c43d7bd, 0x63813319, 0x011b39e9, 0x9acfacbf,
+    0x6fcffbf3, 0xcf1f2bbf, 0x0c303a1f, 0xe5057ae5, 0xe1e1e0c7, 0xbcd3e9c2, 0x379c500b, 0x0f8e348b,
+    0x5701a7e1, 0xb48b3c94, 0x940a59cc, 0x27f9652e, 0xa34cd891, 0xb7e3fc96, 0x7a2557d3, 0x1ed0c5a6,
+    0xca476ef9, 0xc1b0dabb, 0x5e6466a0, 0xd0ccce48, 0x38c88f50, 0xc0f8f535, 0xea4f9784, 0xef305319,
+    0x0919b215, 0x8aa638b9, 0xa7fad792, 0x117e4c26, 0x2ad02e96, 0x16d25ce6, 0x73c8c8aa, 0x9e42f807,
+    0x519904be, 0x6f4454d5, 0xa45f011d, 0xd819fb55, 0xa0006dc1, 0xa190752b, 0x55156a7a, 0x4990057f,
+    0x2e04063b, 0x680daa9a, 0xed1b7fde, 0x1d9cd96a, 0x9da96333, 0xd4bb2bea, 0xdd5868cc, 0x62d7af60,
+    0x68ad56ac, 0x2428e462, 0x8f9843df, 0x39c5f665, 0xe71aec07, 0x7025f991, 0xb38f5f8c, 0x878d4009,
+    0x8d14840e, 0xe9fd71fb, 0xd09dc050, 0x438eddcd, 0x77d9ed75, 0x8e393ee0, 0xa7dd3c4b, 0x05be9091,
+    0xc15877d8, 0x5359b4de, 0xb4afea73, 0x94b5264a, 0xf078f6ea, 0xaa8ae809, 0x5782723a, 0x5f1dad12,
+    0x209c3ca4, 0x7df9d5d7, 0xe45b5e8c, 0x17b579e1, 0x50b4437b, 0x9560758f, 0xc0a86d93, 0x3451e7d2,
+    0x73f46a28, 0xebbbbe28, 0x63658a02, 0x6ba0af89, 0xa09d3b5e, 0x8a79df3e, 0xb69fa427, 0xa04ca37c,
+    0x150eab54, 0xc6038655, 0xff5f87a4, 0x35d253b2, 0xc79f0561, 0xeacd5d8f, 0xbef24820, 0x6b913bab,
+    0x4c3b1038, 0xf3d2d993, 0x59ad91d7, 0x88e6c327, 0x5d514e58, 0x36103f72, 0xbf99e1ff, 0xc6ba1b94,
+    0x37d6e7da, 0x4dfeece9, 0xac74ab6c, 0xf7ff8375, 0xd00debe1, 0xa9d9db76, 0xfb586256, 0x925e5a0b,
+    0xe72f90c5, 0xb3af00dc, 0xb0224736, 0x88218d5f, 0xa9895297, 0x8d6a9358, 0x2af2eff7, 0xf1015303,
+    0xda2687f2, 0x9cedc95e, 0xcfc29ff8, 0xc639db7e, 0xcd842758, 0x0a8f4363, 0xf610bf38, 0x78c94bed,
+    0x25e6af74, 0x54b4fe25, 0x24ff3c25, 0x7b4f5c68, 0x122c8a8e, 0x245043f6, 0xd17fdcc8, 0x452ec8de,
+    0xd0d29c5c, 0xf14d12a8, 0x03c7aaac, 0xd855fc2d, 0x04f3c86c, 0x856ca92d, 0x0edb0764, 0xa020640b,
+    0x79f3cceb, 0xd58eeb22, 0xa5d51a98, 0xa6b2e94f, 0x9c4416d2, 0x689e4971, 0x8d926be5, 0x5949a83c,
+    0x5bbf14c3, 0x87118896, 0xf744a815, 0x3b3729d8, 0x32443f56, 0xaf824ce1, 0xb03ddf64, 0xe8683b57,
+    0x0577abf5, 0xef5aedc2, 0x8899e0f3, 0x961221ba, 0xefea4411, 0x4385f321, 0xdea2e18c, 0x242bbc26,
+    0x1ce57ba4, 0x448756f2, 0xb2f41e2b, 0x44762adf, 0xf68ca72b, 0x3dda5373, 0x8791f790, 0xdd2376cd,
+    0xb574a896, 0x0bc97ee3, 0x1ee069ca, 0x9e53eebc, 0xb2476ef2, 0xc9b105d3, 0xf06563a4, 0xe1b45e2b,
+    0x5ba35343, 0x88483d69, 0xf792d579, 0xce553dd2, 0x6ac8e4a8, 0x6807a4eb, 0xedb2f678, 0x45f0efb5,
+    0x0eb9e98b, 0x8dff5b0b, 0x87b0d307, 0x4703ffa4, 0xf3532583, 0x0927b393, 0x9beecbef, 0x321f71a2,
+    0x1e1dcf12, 0xd563a5a4, 0x8e16a85c, 0xb2e49f8c, 0xd511ef3a, 0xae23858e, 0x467b841f, 0x3f275a00,
+    0xd344e5ae, 0x5a17fca0, 0x93b24e70, 0x2b923b55, 0x7bbe5030, 0x73067ff1, 0x731fcbd6, 0xfe2169ec,
+    0x6fff7c16, 0x31e2205b, 0xaf44f275, 0x61d37da9, 0x9cafd9cd, 0xc4515476, 0xcad7f9ab, 0xf40d1de8,
+    0x85fccb26, 0xffed08ab, 0x5219ee8a, 0xea03e0cc, 0xa42e792b, 0x66fa95cf, 0xf9695369, 0x28bc1082,
+    0xfb71d03b, 0xcbea1ca7, 0x49304ae8, 0x8f011f3e, 0xb631c249, 0x1a50cdf4, 0x5de94be3, 0xcc459836,
+    0x662f3581, 0x24bcbf40, 0x25d48dcc, 0xe10a708f, 0xf8e88ba3, 0x1a9ad5de, 0xf23797d1, 0xb5f8c737,
+    0xba9b5d54, 0xa75fe932, 0x26297180, 0x35e90a90, 0xe79fff39, 0x1bf17854, 0x759e0738, 0xef82cd61,
+    0x86060a79, 0xf70a58dd, 0x97cd9952, 0xd1773af8, 0x4456d9b9, 0x0c152a4e, 0xc1e93e69, 0x022d49b5,
+    0x8f05a22b, 0x42cf7641, 0x4e198b3e, 0x7572a7a4, 0x1da6d3d1, 0xab7b808c, 0x8e5f1ca5, 0x23a6d85e,
+    0x9c7f3c0d, 0x150dfeb9, 0x30382425, 0xb2d50069, 0x74f99378, 0x86265fd6, 0xcec2f42e, 0x3e53c081,
+    0x4a5b24f7, 0x89e5372e, 0x6da3a464, 0xabf6f691, 0x72d3eb84, 0xef1d1c16, 0xc8989b23, 0xed0055c6,
+    0xfa7b3309, 0x67e606e4, 0x6d88ac7a, 0x81ea95e3, 0x6f819048, 0xd5941056, 0x8b8dd3d7, 0x7898205f,
+    0x245e9742, 0x0b1c0bba, 0xe26396fe, 0xa58c4666, 0xc415c708, 0xca437815, 0x4965ca99, 0x65b0506d,
+    0x5d684946, 0xa70c0a77, 0x858c7f33, 0x87ea2d74, 0xb3addbe0, 0x8a3e8fbb, 0x6b6fc387, 0x4f8f0d21,
+    0x755408b4, 0x102904e4, 0x25943e64, 0xf96a2b73, 0xa19a224e, 0x18ed4417, 0x5a3be1ee, 0x7ce66593,
+    0xb6b5b572, 0xcc220cdc, 0x5e04b846, 0xa6aa6d3f, 0x4bd61d5e, 0x047e1858, 0x97d55785, 0xecd39b76,
+    0x0322f13d, 0xb48a74a0, 0x39668096, 0x68eb8bab, 0x39756578, 0xcb7669fa, 0xea80bebb, 0xfcf0bdab,
+    0xe81681f2, 0xb5fdce64, 0xa0205f60, 0xa70d61d0, 0x86a98412, 0x46f2bef4, 0xf10b7cc8, 0x509b540c,
+    0xaf861826, 0x53c2bcb5, 0x27cf3687, 0x9a928779, 0x07020034, 0xf350f988, 0x173e8096, 0x3f333662,
+    0x27ea47ca, 0xffcc94a6, 0xc4f8e226, 0x8fc07587, 0xb558c4eb, 0xf767dd46, 0x2c613ba1, 0xfd39ac05,
+    0xea57db48, 0xcec204e1, 0x2961f094, 0x78651709, 0xf3a2279b, 0xaba1b2d7, 0x842f1d71, 0x70b29aa1,
+    0xbb3409df, 0x84f8b36f, 0x0ebeb625, 0xbd4cb896, 0x6167a727, 0x7c188518, 0xd9dc4cc3, 0xfac2ff6e,
+    0xee86116b, 0xe254b1b9, 0xa8436547, 0xed35a515, 0xed5743be, 0x0a50e0c5, 0x2b70a4f7, 0x354bf420,
+    0x8caa81a1, 0x4ed0f091, 0x8a53feda, 0x93b9de26, 0x9d9736e2, 0xd781517c, 0x49189ec0, 0xa9bdbd16,
+    0x748722b5, 0xe6378b03, 0x4bad6eaa, 0x6e9d49c2, 0x53076c01, 0x0e1d60b7, 0xcd3fa747, 0x021d0348,
+    0x51381d0c, 0x58ff4b11, 0x188197f6, 0x733d175e, 0x28c58d38, 0xc6ebd7cd, 0x2ad33746, 0x075f4bb2,
+    0x0045fccc, 0x13ba741c, 0xfa6fdc17, 0x33caf944, 0x8b0b69ad, 0x1ed01281, 0x0852b2de, 0xc95a9564,
+    0xf893b04f, 0xc59c0f21, 0x706a134d, 0xfe22e9d5, 0x63a6e5b5, 0xab732d40, 0x7ed60a22, 0x58e5d54d,
+    0x1c2a78cf, 0xd9765deb, 0x4219ad1d, 0x2f552c9b, 0x3177ba0f, 0x8893a3b6, 0xcc2d625b, 0x8a9bd288,
+    0x00000000,
+    0xf125f55a, 0xeea8f9d1, 0x33287ef4, 0x173c2ce8, 0x8db56404, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66,
+    0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000183479889279205720928865671624\
+                         16695526372519913346248989900710715095383008707878464560148424881005492436992 */
+  { 0x00000000,
+    0xfd51a7c9, 0xb6a1778b, 0xecc39db6, 0xc6cac785, 0x03c397e6, 0x08db78e0, 0xba1761ac, 0x2380bb87,
+    0x25013f84, 0x227923ba, 0x837fe6de, 0x62fde80c, 0xfceed825, 0x7dbd4e63, 0xe4921123, 0xf8dd375a,
+    0x1933ce71, 0x1a4ff162, 0x2bde665e, 0x109fc013, 0xf408771b, 0xe3053bd5, 0x12e1162a, 0xe3f3fcfd,
+    0x53d53df3, 0x3526f327, 0x7028b6a2, 0x31adf7a4, 0x4c8304f4, 0xf2407cd3, 0x044f53de, 0x31998da5,
+    0x0c606350, 0xdc4a6591, 0xdf41d52c, 0xf997353f, 0x2b22b5b9, 0x40b4ed3b, 0x1a0541a9, 0x4f2a0140,
+    0x875b366b, 0x886346cf, 0x0bf643bf, 0xcb583f19, 0x47a18dd6, 0xd5165048, 0xa0e2a128, 0x97c8ddb5,
+    0x81f635fb, 0xa373d43c, 0x533ad1ac, 0xc1e7eb38, 0x59c2141e, 0xfc13c8cf, 0x17080306, 0x6c6edc1b,
+    0x0302c38b, 0xfacd1a44, 0x45c236a0, 0x1ca46a2b, 0xdc1c0680, 0x128fa90d, 0x4edf6400, 0xfe9109bd,
+    0x744b7a1d, 0x1ef4afe8, 0x82803522, 0xe2f63f50, 0x063d50d6, 0xd6a4b4c0, 0xdaa7d2bf, 0x8a1d40a4,
+    0x0b111991, 0x0588b016, 0x3dd9451d, 0xe69be5df, 0xb6e16c8b, 0x05914a0a, 0x70d847de, 0xacf6d6b9,
+    0x081b750f, 0xd8545882, 0x72e80d6c, 0xa93125f6, 0xba3a4861, 0xac46db0d, 0xf35261bb, 0xd29c1aee,
+    0x80c1ed51, 0xbafa2b04, 0x393ee2fd, 0x5df07294, 0xfcdc3f58, 0xe91770e5, 0x1f809606, 0x0d6aba6c,
+    0x1601e69f, 0xa4ffe8ef, 0xaea6b912, 0x5bbd9562, 0x2dc6595b, 0x20342aa0, 0xfc1d4e40, 0xd4900b7e,
+    0x5fb7f7f5, 0x905e8102, 0xe04f2e44, 0xb58ff30f, 0x934f777e, 0x6e5fd736, 0x1398e825, 0x9799d502,
+    0x5a8e9928, 0xaef3587b, 0xdf4bae49, 0xa451c7ea, 0xb935b479, 0x9898795f, 0x70096173, 0x55847edd,
+    0xca0fe019, 0x4f7e3349, 0x59d7c020, 0x944a82e4, 0x7a0f894f, 0x622dd297, 0x05a6372b, 0x6a2c2e60,
+    0x7e0b5722, 0x389f915c, 0xe4ca269c, 0xd0642f57, 0x893d1846, 0x71c6eb9f, 0xe2e6b58c, 0x772ae2bd,
+    0xd6c607a3, 0xda170906, 0x7db3760c, 0xb72f4052, 0xf4772f71, 0xd47e3af8, 0xd73808d7, 0xcd393bfd,
+    0xcec4529e, 0x88b115fb, 0x249fbf94, 0x7e1d75c2, 0xffea4d00, 0x29fa4ac2, 0x7afc89bd, 0x956a6442,
+    0x6f1b3e5e, 0x086013cc, 0xb4086b6d, 0x543439d2, 0x6bcaf834, 0x7e981bf6, 0xd29f2563, 0x10f75cb8,
+    0x5f83ebe9, 0xa82be6b4, 0x8fe5645b, 0xdf37e175, 0x99d7700a, 0x29ba4d65, 0x8d9391a1, 0xb991c711,
+    0xc42204f1, 0x8892eac1, 0x63b5c549, 0xab783273, 0x0ee045cf, 0x48485cd1, 0x3827bfcf, 0x2704d367,
+    0xdb5e66f1, 0x1382e5f0, 0xc653a194, 0xa7c37079, 0xb3799fc7, 0xcd58fdb7, 0x3d3aea92, 0xf88afde8,
+    0xb6faffd2, 0xadb6d3f7, 0x2fc52025, 0x5335b89a, 0xff8cd1ba, 0x841c983b, 0x622f7806, 0x68f0d8dc,
+    0x4f075616, 0x1d57f112, 0xc532e075, 0x0a58e20b, 0x449dd21d, 0xbea6e626, 0x4503f26a, 0x78bb01f0,
+    0xa3c0ac26, 0xabec131c, 0x7fb6a052, 0xe72839ea, 0xddfeb633, 0xe6826033, 0xab942673, 0xd41f364c,
+    0x88fc5835, 0x784ae011, 0xfe5d328f, 0x87045591, 0xbfef8c7c, 0x671da56e, 0xf6d1b3c3, 0x1f366b8e,
+    0x1b5eaf7f, 0x4ceef68c, 0x2cbab4b3, 0xf39bcde3, 0xb742a738, 0xca829fc1, 0xe065c11c, 0xe328894d,
+    0xa879cf9c, 0xbe87d666, 0xaffc415b, 0x7896fa3f, 0x3c0b6ebe, 0xea0df811, 0x9a97b12c, 0x717a0eb2,
+    0xf4bddc41, 0xcf02d2d1, 0x015d867d, 0xa3dd5097, 0x0708c97d, 0xa1c35c33, 0xb753b629, 0xf6809a9e,
+    0x9268a83e, 0x5b1cc09f, 0x1a5ef3d4, 0xdbae49f1, 0xb643388e, 0xd0400d01, 0x1c40ff91, 0x3efa7dfb,
+    0x3fe48752, 0xb8d2dddb, 0x5fd081d4, 0x5b10b832, 0x38c33d0b, 0x49772074, 0xf20be652, 0xa46325b6,
+    0xeef6bdff, 0xa3fec17a, 0x6bc9b0d7, 0x901b92bf, 0xd9c7a417, 0x2df94519, 0x4ed82426, 0x704acac4,
+    0x7eaea3c2, 0x4894a6cf, 0x11388443, 0x4ee700eb, 0x9a500e50, 0x5b97be21, 0xcbd7822e, 0xd7c06106,
+    0x60ba19bc, 0xec4187d5, 0xfa6bb844, 0xc83c1139, 0x9c5d0d5f, 0x7377d764, 0xf28f9a9c, 0xf91b20a3,
+    0xe0f25b7a, 0xe83ca6d5, 0xf767a664, 0x9236d865, 0x1d6ffcc5, 0xdcfa402c, 0x444ee41d, 0xba47ae97,
+    0x93ba6f79, 0x6137e100, 0x9bb83a51, 0x07944999, 0x809aaa7e, 0xd8103ff8, 0x3b5dd13c, 0x28c54d40,
+    0x8a90e67c, 0xb923b00d, 0xbf7e07c6, 0x5b458848, 0x47f9a4f8, 0xc0afde14, 0x2efd3b13, 0x506ff423,
+    0x23f2a405, 0xffccd9a5, 0x28ca2a98, 0xdc9a99b1, 0x30b7c46a, 0xd1094ef8, 0x6fb6707a, 0xb95c8968,
+    0x98c82fe0, 0xc0c64ba7, 0xf5fdfd00, 0xd83df340, 0xac45b64b, 0x9e929893, 0xf107afc4, 0x7e8a282a,
+    0x0436695a, 0x976753a8, 0x3668a4bc, 0x811c31ba, 0x093f1ba7, 0xbd26ce23, 0x3ea0f3bd, 0x761edf97,
+    0xd0855212, 0xe740d290, 0x220fd63f, 0x9f885548, 0xe331f459, 0x2dd4a8e7, 0x7a37b831, 0x478405ee,
+    0x4f73d257, 0x67a95e01, 0x06d44dd1, 0xd4f60e53, 0x5f793874, 0x1cddc7de, 0x80a3a209, 0xa1b5c774,
+    0x85431c79, 0xa224b22f, 0x2a691f28, 0x0f8af04f, 0xf342b18d, 0xa80a4827, 0xcbb3a15a, 0x0e82f2f9,
+    0x657ce59e, 0x30427efc, 0xd8b68ed7, 0xa8e9c727, 0xce00bdd2, 0x6bc32590, 0x098609cd, 0xf43a1d79,
+    0x4e2c2039, 0x38918f15, 0xa26e859a, 0x19a3d759, 0xf06d4ffa, 0x466f0d6f, 0xf54d7257, 0x79472b03,
+    0x6838d668, 0xf8af54f2, 0x5789640b, 0x5419fc99, 0xb82cf426, 0x9d525f36, 0x0e2fbdfa, 0x37eff468,
+    0x2b9c26be, 0x0a46f296, 0x05e83e56, 0x82d3c327, 0x7ee598eb, 0x5f790e40, 0x68a60ebe, 0x123e1378,
+    0x4e1000fe, 0x63c7d27e, 0xcf5e0e31, 0x32bb04a3, 0xa5d171e8, 0x1cd48285, 0x61edb868, 0xc4fc4e62,
+    0x2cbf3bab, 0xe3fefc79, 0xb73f39a1, 0x3b7db7c4, 0x379490b2, 0x161db282, 0xd92a2482, 0x073c7468,
+    0x05093dc9, 0x99d9427b, 0x38f18b3c, 0x91f0e743, 0xe429f74d, 0xfa6bf613, 0xcbaaff2b, 0x253a257c,
+    0xf44e0369, 0xaa64c109, 0x412afa09, 0xfd7b265f, 0x1ab0e2c9, 0xde50bd30, 0xc0de9352, 0xc3c85044,
+    0x4d9a1f7a, 0xcf219f38, 0xad68c193, 0x2f6b20b2, 0x1cea6691, 0xbea69227, 0xf342ba0f, 0xa5e39012,
+    0xc4d92d41, 0x03e4dfa6, 0x67e2dea3, 0xee2b42cd, 0x162579c7, 0x68f0e203, 0xbba5f89d, 0x45946b94,
+    0x5fc363f5, 0xd0dcf77b, 0xc0406732, 0x15bb8c88, 0x4c5aa07d, 0x049e4312, 0x65b2fcbe, 0x6632f87f,
+    0xab65af3d, 0x6fc0ab83, 0xbaa07841, 0xbb930a53, 0x644a4e42, 0xbe20968a, 0x3f629c5b, 0xd26806e1,
+    0x52511f8a, 0x065661d2, 0x647aa866, 0xd8735ae4, 0x1e81c737, 0x5b5234a6, 0x57c9ed9a, 0x67556a75,
+    0xbaa9b059, 0x85f38720, 0x2c7ceffd, 0x9ee4be4c, 0x522cfce5, 0xee7493c0, 0xd615a42c, 0x7a22fa10,
+    0x0e3a1236, 0x79548d6f, 0x2d1826cd, 0x9b164045, 0xfd5f47b1, 0xd95a93a8, 0x19d07182, 0xa959dd16,
+    0xc7b3f008, 0xf23a9881, 0xb22c7f50, 0xfa631a5d, 0x4d207880, 0xc7fae927, 0x926c89b1, 0x93dd4ebd,
+    0xb82a70ad, 0x3fdba1b5, 0x9ead966f, 0xbfa08b37, 0x25bcaaa6, 0x13cb3939, 0xd8156cc0, 0xb10307d2,
+    0xc3799a89, 0x32313e6a, 0xf5507dd6, 0x3352b637, 0xb2996e74, 0xac0b2513, 0x5857027c, 0xd86407e7,
+    0x5d956261, 0xe1a7d6e5, 0x351e8832, 0x15ef2a5e, 0x63bc5044, 0xebdb6c46, 0x1f08ff1f, 0x7d7fa325,
+    0x91f771c7, 0x967e9a9b, 0x9cac153d, 0x84283fc5, 0x4051f821, 0x1e97363a, 0xed91eb1e, 0x390fee99,
+    0xaa8594fd, 0x33f1d625, 0x4cafbb94, 0x443f2c08, 0x417ced42, 0x8bdccc08, 0x23d6e713, 0x8a225968,
+    0x64a4899d, 0x296db33e, 0x3d53cc98, 0xbe83ac15, 0x0c9f5455, 0xe9fa9c9d, 0x4ecd4a7b, 0x37b74390,
+    0xcef00ffd, 0x36155a05, 0x5b403370, 0x6f5363e5, 0x072fc68c, 0x0399c111, 0xc6fadcc6, 0x2c8604c1,
+    0xaab9c323, 0x67230f61, 0x8eac0381, 0x0e4dc283, 0x964d94cd, 0xabf946a9, 0x5577ed2b, 0x71c45641,
+    0x332bf67e, 0xbd817dcd, 0xa4636b36, 0xaa457b1b, 0xbfecd224, 0xb54a7ca4, 0x0694be3e, 0xb16e993c,
+    0x60e58bc3, 0x802fc624, 0x40b6e734, 0xb0c9fac9, 0x0b592e53, 0x6e45787e, 0xf950d837, 0xe5375233,
+    0x27f2b645, 0x44fa15b0, 0x10a0f32e, 0x6ff81504, 0x809162b3, 0xf7be2840, 0x0e78a54c, 0xb7baba26,
+    0x798d61d5, 0xa1eba51f, 0x4498af1d, 0x9520955d, 0xef4d87cf, 0xcd05a9de, 0xc6482af3, 0x5dd913ac,
+    0x36a50a20, 0xeb8c26f6, 0xcffe8df6, 0xb36ac33d, 0x9b57f6be, 0x100b2760, 0xe90eea01, 0x276ab2de,
+    0x1f6dffdb, 0x4510f391, 0x1e9299c0, 0xd4c2ef15, 0xf68b9b48, 0x0029a36a, 0x85679a57, 0xaf75f018,
+    0x39ced540, 0x62caa831, 0x885aba0c, 0x71d080b0, 0xf221b577, 0x0113ce23, 0xec2ffb61, 0xcd3280b2,
+    0x1a4ff45b, 0xf2af60f2, 0xbd75b49d, 0x636c3af0, 0xb30cfe46, 0xd2328744, 0x5dc7af85, 0x0dee0d71,
+    0xbd22b6c2, 0xc96b91a2, 0xe4bf8ff2, 0x3ec7d83a, 0xb6d61aac, 0x5ae2947a, 0x4db54848, 0x5f69de8d,
+    0x51d2fa80, 0xbfd23f91, 0x0ddc4b29, 0xe3396d1e, 0x767de7a3, 0x5324f947, 0x9d9afd26, 0xbb03bd54,
+    0x1fadc07d, 0x1280664f, 0x5e6bea84, 0x927e9874, 0xea4f1618, 0x962115ec, 0x8ed76a60, 0x5c84b117,
+    0x51a4c741, 0xcf44cb75, 0x9b7cf44a, 0x37720ef9, 0x57a9243b, 0xa3b840ab, 0x29cfdb04, 0x640ab5c9,
+    0x1a18da8f, 0xa1a75701, 0x739823b1, 0xec4af87f, 0xe0cfe9cb, 0x183f343a, 0xec3b0868, 0x76aef422,
+    0x00dfebbf, 0xccc7eaac, 0xe7b39498, 0x8eb75f15, 0x32f75af8, 0x6d998f29, 0x417eba78, 0x33b65e2e,
+    0x3945b423, 0x647bbb84, 0x76fafce7, 0xc7197231, 0x80c4ea6d, 0x88b23e5b, 0xd5f5c075, 0xc163973a,
+    0x2cf62f05, 0x92d0c232, 0x0dd2a8d7, 0x172ce3d8, 0x69a87058, 0xddc05fd1, 0xf7cb99e1, 0x9adbce62,
+    0x2f8ddbda, 0xf0d7bbb3, 0xc6a60a48, 0x5d4825c8, 0x903e8093, 0xcde1006d, 0xd590203b, 0xedaf7b58,
+    0x3b0ad259, 0x68ab2faa, 0xed3b35c4, 0x5482801c, 0xe2665dba, 0xc3a81e10, 0x4640a6a6, 0x1aabb2d0,
+    0xdd53e606, 0x9ff8202b, 0x472e3fc7, 0xff7a46fa, 0x0f0641a1, 0x62286d00, 0xa8603cf0, 0x12ce79ca,
+    0x20eb827b, 0x790c5221, 0xa66d916f, 0x6f0c89ee, 0x11f5d850, 0xd492fcc6, 0x85f1e776, 0x4ea09bc0,
+    0x05c6d100, 0xe1da3053, 0x38630193, 0xd785f75c, 0x2889c04f, 0xa111f27e, 0xd826d023, 0xd928cc06,
+    0x3e030d19, 0x4536ba7c, 0x80697429, 0x71d3bc9e, 0x7038ee8a, 0xf6c046e8, 0x4e25b919, 0x5894f7fa,
+    0xf173d2a2, 0x62e3b8f8, 0x1d777146, 0x298b5dfe, 0x6b660393, 0x8a1ca4d1, 0xd57b33f6, 0x27364269,
+    0x6472d10c, 0xbaee5ee2, 0xfcf8e489, 0xa848e5b0, 0x1d229d79, 0x6c228608, 0x2ca192cb, 0xdb615645,
+    0x2756d1b9, 0x0fef7921, 0x918b511e, 0xebc9a5f4, 0x551bef7f, 0xb669aed6, 0x02e443a1, 0x3655f15f,
+    0xa2967bec, 0x11ed103c, 0x2be29d45, 0x2eb99b17, 0xa12bbc1b, 0x4272606c, 0x796441df, 0xe23f91ce,
+    0x6e543d1f, 0xa2d792a9, 0x14b80b72, 0x2b8aa52d, 0xa4521a43, 0x0214379b, 0x6a2dfade, 0x43d2d5ca,
+    0xd44d0fa4, 0xee39006f, 0xc6667e26, 0x18f8f278, 0xb2cc0f21, 0x1ae3cc41, 0x299e7531, 0xae228a0b,
+    0x3d374c82, 0x6cb6aa4d, 0xa00fcd56, 0x6e5b8cda, 0x22c8e7d7, 0x87c95e28, 0x8c519e41, 0x9b9845ad,
+    0xfa2ab7ca, 0xb61b80e6, 0x058e6e7e, 0x86d36574, 0xd8978cad, 0xfd157438, 0xb5579bc0, 0x1d9177c8,
+    0x5341a1bc, 0x0dbb3178, 0x3f517faa, 0x10a3d034, 0xe51c05b7, 0xe3e81975, 0x6d3fdeca, 0xb75792e1,
+    0xa72de3f5, 0x52d4ce26, 0xa0227ee0, 0x20fbca70, 0x2a99d5e0, 0x617327d4, 0xfd8d4438, 0x1c4a0697,
+    0x7f340acc, 0xea30b851, 0xe3327da7, 0x132ca9ec, 0x37da0e41, 0xbafb029b, 0xda110d11, 0xa6f1a4f4,
+    0x87b36afd, 0x6107eb3c, 0x49ae3f26, 0xec3f1a25, 0x3883bd43, 0xa61b3182, 0x24ac8217, 0x19425f2a,
+    0x3fc72b3f, 0x829167c8, 0x77cc31a8, 0x1dd7d495, 0x98d309fb, 0xbf34b77c, 0x75ee7317, 0xe0257d53,
+    0x2cd45b9a, 0x99650416, 0xfc94317e, 0xee18824f, 0x5d512bb1, 0xfa61914c, 0x4e2f853e, 0xbe095f8c,
+    0x4be6b2ae, 0x83d49dbd, 0x49a19457, 0x67ade96c, 0x0667eb40, 0xdc0d0946, 0x2c04a06e, 0x13927ffb,
+    0x2a960a6f, 0x0fbefb2e, 0x165c805d, 0x8334a4e2, 0x1f9b5df8, 0x8cbf76ac, 0x9e6343d7, 0xc5090274,
+    0x5b8dc386, 0x41ec0c24, 0xed9ab92a, 0xfe865c84, 0xf0485d0f, 0x62eadf0e, 0x07ca1dd0, 0x6b0d98e0,
+    0xacd592fc, 0xa6ab8e34, 0xf53a2b8b, 0xf12018b8, 0xdf03274c, 0xa00df76c, 0x6508f122, 0x18100a53,
+    0x06a9d7a9, 0xa43c5755, 0x1530f788, 0x5643cd2a, 0xe33acc59, 0xa954a0c5, 0x959c76a5, 0x64d90397,
+    0xb6095bf6, 0xa3151705, 0x0cfe9e6a, 0xb6c16b48, 0x63a6a82c, 0x5e88a616, 0xedb9eae4, 0x83528117,
+    0x1e270500, 0x17e53a62, 0xc3e160a2, 0xde539b98, 0x80677a14, 0x391dfda8, 0xfa2629be, 0x5768178f,
+    0x121d53d2, 0x45220df5, 0x9cd470ba, 0x5755afda, 0x8059d4c7, 0xd5566420, 0x8e3cd801, 0x74df4d1f,
+    0x5fdd50d4, 0x28234f7e, 0xd6152504, 0x19bd253b, 0xda66b252, 0xdcfc08f5, 0x63ed386d, 0x91eed567,
+    0xdd20164f, 0xf2207433, 0x9dce2099, 0x1cd007e2, 0x32e2b8da, 0x6269b415, 0x59778362, 0xfee6641c,
+    0x581d144d, 0x22f18797, 0x29a6d884, 0xe7be5efe, 0x2761086c, 0x8cd65842, 0xe1758dd5, 0x0901e781,
+    0x3243a222, 0x36dfa84d, 0x96a32133, 0xfa25ab0d, 0x640b0b87, 0xd0c3cc8e, 0x8bba1e56, 0x60a656ed,
+    0x24db9b91, 0x95183698, 0xa3705585, 0x53dcdc25, 0x9fcf0290, 0x65a3dcb9, 0x498b9d66, 0xaaf9f939,
+    0x27986882, 0xca19f1a3, 0xbbe90864, 0xdf6de791, 0xbe1e951f, 0x76845c21, 0xf076425b, 0x4e80660a,
+    0x211f729c, 0xb8333e18, 0x5ea1f397, 0x6ad1dc75, 0x5c125481, 0x8ba739e5, 0x3282c51a, 0xcf64b6e5,
+    0x08760318, 0x1dbaa982, 0x0697b911, 0x24eaae49, 0x68cda61b, 0xe08d3361, 0x02a14769, 0x3d22e55e,
+    0xb1948b80, 0x4da9fa6c, 0x35b980f6, 0x5a0fb46d, 0x335fd71f, 0x3993b143, 0x2cd4b1f5, 0xe309f7f3,
+    0x234da720, 0x9b502ca0, 0x90df778b, 0x29b7154d, 0x3abb430e, 0x13ff5f76, 0x3e2ec832, 0x68f69b41,
+    0x4dd067b9, 0x02d10c32, 0xf8f705e8, 0x7b5b5316, 0x0b381904, 0x0b43ed8c, 0xd6c81a8a, 0x88146e80,
+    0x2e4ae44d, 0x2e7156e1, 0x2cd0d9b5, 0x64632a67, 0x8102fb9c, 0x2abda98e, 0xe10ee9f2, 0xd863b5e0,
+    0x9f5279b4, 0xcceb3147, 0x0fd26bab, 0xfeeb6a9e, 0x788e69aa, 0x7f2fbc04, 0x1f062649, 0x30bd69b0,
+    0xd649532f, 0xabb51cc5, 0x52d3023e, 0x3baedd2d, 0x2db6ab01, 0xf4d7ab87, 0x0160a205, 0xbc5f1ab1,
+    0x00000000,
+    0xf892faac, 0x77547ce8, 0x19943f7a, 0x0b9e1674, 0x46dab202, 0xdeceb53a, 0x65b157f8, 0x36bf6d33,
+    0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000091739944639602860464432835812\
+                         08347763186259956673124494950355357547691504353939232280074212440502746218496 */
+  { 0x00000000,
+    0x8b45354c, 0x6837b518, 0xd4b5d5d4, 0x683cfc15, 0x6095a469, 0x338e3f4c, 0x6240c614, 0x64ef437b,
+    0x6c5fab6e, 0xfc628d4f, 0x75926c45, 0x92429caf, 0x20f53eed, 0x06c9e8a5, 0x0b8f4ecb, 0xd29d21e3,
+    0xa621a85e, 0x5f8185d0, 0x1464a446, 0x41125021, 0xb10d6267, 0xb7e59c41, 0xc5b6c965, 0x419d7883,
+    0x132b4675, 0x7142e69f, 0xa8219a5b, 0xe746862c, 0x03152f3e, 0xfb13a0f0, 0xa0c8c705, 0x9982b8cc,
+    0x200937ac, 0x3bda12db, 0xb1869b94, 0xe7aaad40, 0x00726d32, 0x21ce2f52, 0x1bef3614, 0x0be226a2,
+    0xe23208b6, 0xcf4504d6, 0xba608e87, 0xfa325b25, 0x52fd4d53, 0x69426df4, 0x428d2906, 0x724ea760,
+    0x3c9340ca, 0x24ea1f92, 0x68c52060, 0x660aa675, 0xc95a9676, 0x039ec29c, 0x9c30de78, 0x0ce7afcc,
+    0x148d8546, 0x93ef36e6, 0x333342c4, 0x9279f525, 0x439f2d30, 0x9fab72a3, 0x4167c125, 0xe1043f74,
+    0x3814d938, 0xc6b11255, 0x532a0f1b, 0x92b03b01, 0xf351c318, 0x6161d4e7, 0xe7ab6af1, 0x5c6a402a,
+    0x892fa33c, 0xf51db713, 0x309aa2d2, 0x40e9ecfa, 0x0c1d5b3d, 0xfaf9d3cc, 0xd5d38b45, 0x4d7f6c1d,
+    0x196ad147, 0x32e56697, 0x2e3a0d93, 0x47d085fe, 0xdaedc122, 0xdba73e14, 0xd9a71072, 0xaefcc537,
+    0x06f1c578, 0x48f61821, 0xe017a376, 0x8ae953ee, 0x8f9fc962, 0x32f19742, 0xa0d94d64, 0xba59c6da,
+    0x53fd35d2, 0x3ae7ee6d, 0x41cea116, 0x031a2903, 0xe27c0ddb, 0xccaad084, 0x206eebf3, 0xf2af2cae,
+    0x17e8f90e, 0xb5f4528d, 0xd410de03, 0xb9a57401, 0x36331f1c, 0x6e0569ed, 0x55b11461, 0xb0dfbac4,
+    0x9660ab2b, 0x262641f5, 0xedae2fcc, 0xb065017d, 0x8184bb4b, 0xf3f52c56, 0xdd5f432b, 0x37045e6b,
+    0x9ab071f2, 0xe98e93dd, 0x23223c7a, 0xa08a0399, 0x97c3a896, 0x8c034037, 0xfd646c59, 0x8517f132,
+    0x617c400f, 0xf97c7c22, 0x5c1c2d00, 0xd13376da, 0x7fb57cfb, 0x15dc205f, 0x3ee6e2ad, 0x7d64af7d,
+    0x47c43f77, 0x4a2455ac, 0xb79ed06b, 0xf75d5b41, 0x4d94fca6, 0x76ccca6a, 0x6a6c6d89, 0xa6f61c5d,
+    0xbdf3d4e7, 0xe0bd6091, 0x78f7ee08, 0x1e33fa74, 0xfe878e76, 0x28620931, 0x884d5ade, 0x7ad56fee,
+    0xaba2e470, 0x6bd599a9, 0x55b439b4, 0x1e7dd50a, 0x5d8d9440, 0x5f60540a, 0x41f6fd82, 0xed6e2ab7,
+    0xfab333cc, 0x64f701bb, 0xfaded7dd, 0x720296cf, 0x19985d76, 0xc8e05610, 0x786a244c, 0xc1269890,
+    0x8292bcb5, 0x7699db04, 0xda83fadd, 0x7c2631e4, 0xbaf2903d, 0x74be0ea0, 0x8a2bd2bf, 0xfd6785b0,
+    0xb4b5e34c, 0x5b8f9265, 0xf4ee2688, 0x1416245f, 0xa4459760, 0x6401d38a, 0x799f3e9a, 0xb687862b,
+    0xb0677d0a, 0x6c27256f, 0x1c42b486, 0xfb2a5500, 0x0f311e1d, 0x77f50e07, 0x4073bd1d, 0x3bbc532c,
+    0xad005489, 0xe8362c96, 0xd96d5b00, 0xfbbb3130, 0x6263651b, 0x120e2744, 0x028a36a1, 0x6dd5f6c4,
+    0x47019d30, 0x6668440b, 0x3f96b66d, 0x3d90bbab, 0x0b49523a, 0xce8d6116, 0xc419f782, 0x944dd198,
+    0x92d5fb9e, 0x5af5c893, 0x5e539c80, 0x2f217c03, 0xe1908bf3, 0x3ebf403f, 0xc1a0e792, 0x00e726d7,
+    0xc61109a7, 0xcf1cf2c2, 0xecd143e2, 0x2ce67910, 0x9f66fa57, 0xeff81a70, 0x9864f595, 0x311f3843,
+    0x51d66563, 0x97db87d1, 0x02248752, 0x274457b8, 0x108de549, 0x1d4cc17a, 0x3832328d, 0x50bb343e,
+    0x2cdfb7f4, 0xbc9ac9dc, 0x5f02acd2, 0x943bf534, 0xd6b4c2ea, 0x2b41f986, 0xc0ca64e5, 0x3bc9099e,
+    0xf50f1457, 0x0789a193, 0xa3295858, 0x484ec550, 0x97323f85, 0xd647da63, 0x4300bc0c, 0xb3f14b34,
+    0x7e2c7ec7, 0x87601668, 0x5484044e, 0xc2778304, 0x376959e5, 0x3d495a0b, 0xedddfe9e, 0x07c2824e,
+    0xdb79d420, 0x49b0665c, 0x855758ce, 0xd5cbad22, 0x78319254, 0xab436f7c, 0xb1c6850c, 0x988638e4,
+    0xdcc6ea50, 0xa3e8d3ec, 0x08b65878, 0x1bb168c1, 0x7166d465, 0xcc38dd4b, 0xe7a64e77, 0x4cac469e,
+    0xbe0768bf, 0x3e70b114, 0x85dcd6c6, 0x2fd493ca, 0x822ae777, 0x90980d5b, 0x99fe460b, 0x117ead05,
+    0x65942b29, 0xbf97d505, 0x7a0b8f0f, 0x09245151, 0xff47b9e8, 0x3ea906ea, 0x5f403738, 0x05cd13d0,
+    0x13167122, 0x63ad51bb, 0xa5b1ba44, 0x43d8c09c, 0xed386fba, 0xf40e500b, 0x917b84c2, 0x4156a2ad,
+    0x1efb21f0, 0x2cf5c2c9, 0x7d1dc6e2, 0x52afee35, 0xb10aa7b4, 0x3bded45a, 0xbf6051e4, 0x41e087dd,
+    0x11c968b7, 0x858318f3, 0x1628f247, 0x2d994b7e, 0xac2ef707, 0x75e746d2, 0x3a83c262, 0xfb19a938,
+    0x10e27753, 0x169201b7, 0xf6382810, 0x4ac29ce4, 0xc214a459, 0x93b32332, 0x3f17c427, 0x6589ff34,
+    0x869eb3d6, 0x2beb29c8, 0xa4082d4b, 0x7d751012, 0x311d839e, 0x884045a5, 0x6609a38a, 0xfa884fd1,
+    0x8a6bbb98, 0xba5b1590, 0x9b87d934, 0xda82d839, 0xc594a8f0, 0xb12675f1, 0x79d1593c, 0x734714d2,
+    0xd7036afe, 0x7ffd181d, 0xca520306, 0xaea9f97d, 0x0829ffaa, 0x3298690d, 0x0b45e984, 0x093f32e9,
+    0x7b239dd8, 0xe7d363b4, 0x58a5468d, 0x690900bc, 0x17ac553d, 0xa3ff8722, 0x30b2fa26, 0x8b391b97,
+    0xed84db84, 0x306ef565, 0x708157f8, 0x4fcf77aa, 0xf15afdf2, 0x937b100e, 0xc6a98091, 0x18fdb495,
+    0x6e8271b0, 0x3a5af23c, 0x497e0310, 0x51440f6c, 0x80825979, 0x7af04488, 0x020c5f26, 0x9c187f94,
+    0xcd1c5a64, 0xb7b97a34, 0x563e2763, 0x3438cea1, 0x1a02916f, 0xa22704ac, 0x2db7b0f7, 0x67628874,
+    0x85868cdb, 0xdc37398b, 0xe45e67d9, 0xba7b773c, 0x962a4af6, 0x7996c2a4, 0xc53d33cc, 0x47dc4913,
+    0x5f2a9381, 0xd6077e58, 0xc3cd14f8, 0xc351e190, 0x681cae60, 0x4c421a06, 0xbada5110, 0xa31be48a,
+    0xf4dc22b2, 0xdcfdaa81, 0x383df308, 0x35531bad, 0xe0168494, 0x10fcae08, 0xe4b5dd17, 0x1ba53914,
+    0xa0d5a35f, 0x742eaece, 0x8ffe894f, 0xb70b35c9, 0x8edf61e9, 0x8890542c, 0xc32dec0c, 0x48113af6,
+    0x158c667f, 0x2494b487, 0x71a70d64, 0x85963b53, 0x7297b167, 0xf931cfc9, 0x1f740041, 0x77a263f5,
+    0xcc772b9f, 0xfd681748, 0x424f6c55, 0x973169aa, 0xb6a0bcee, 0x4d981483, 0x7b27f4cc, 0xc46ccccd,
+    0x9c7d981a, 0x2bbf4513, 0x2108f979, 0x76187373, 0x82271769, 0x0ce1fcf3, 0x19e33464, 0xafa2cbb0,
+    0xa954551b, 0x4ef14cbd, 0xb6aa57a5, 0xa7f54472, 0x4564c99f, 0xe0299cf5, 0xdcf0363f, 0x401b3d8f,
+    0x61bedf00, 0x795d2c1e, 0x333ed535, 0x6a80bbd2, 0x2e69470a, 0x67bdadfa, 0xd333713e, 0x69acec3e,
+    0x7c2df887, 0x35913314, 0xba49cd41, 0x9c6f94a0, 0x679d180e, 0xda86dd7d, 0x98197995, 0x5d646db7,
+    0xa6f2306b, 0xea8bc9b7, 0xb22e9be6, 0x0b75a4ab, 0x11e710dd, 0xf82d5ff0, 0xb82a3d22, 0x63686f91,
+    0x62d13a95, 0x6e9408e2, 0x23132824, 0x32891fe3, 0xc58f02ff, 0xb41c0ca2, 0xc75e561e, 0x7e31e41e,
+    0x81d36513, 0xf20e88aa, 0xf205fa19, 0xee4071dc, 0x5d317976, 0x06224c3c, 0xb22e475a, 0xabcec93b,
+    0xee50dbf5, 0x36ed5185, 0x8cd03c79, 0x3c7d19fe, 0x9249bc71, 0xf88efd0a, 0x17989094, 0x5580beef,
+    0x4495df08, 0x7fe04bd0, 0xae1038ac, 0x8f245c38, 0xadd081be, 0xa14a251e, 0x640ee115, 0x5e099814,
+    0xdc4bd3e5, 0x77437ecf, 0xdd79be85, 0xed43a4d5, 0x14ce5f97, 0x877a7e7b, 0x50fe48ef, 0xc463cc82,
+    0xf116ffbe, 0x8388b721, 0x54848e11, 0xb2fddc97, 0xbd96e10c, 0x8b19ed24, 0x914c7a54, 0x89a15aa8,
+    0x5037b963, 0x0e001897, 0x0b3c3bcc, 0xe5ccc7cb, 0xc9cefc65, 0x148036c1, 0x45adcaab, 0x080031e9,
+    0xb532bd9e, 0x898aeb17, 0xe4ff7be5, 0x0f1c4942, 0xd104f936, 0x44ccb7a7, 0x888381a5, 0xc25626b6,
+    0xee6f5758, 0x1b0c49e3, 0xc6ab64cf, 0x6fd7b81e, 0xb6e82ceb, 0xa9f26bb2, 0x915e746e, 0x6247fe4f,
+    0xade0cf17, 0x1e6396d5, 0x961348fc, 0x2f8a165c, 0x145823ba, 0xc65fb238, 0x84c8ec86, 0x3036e66f,
+    0xd991cb79, 0x72d970ca, 0x66d76006, 0xd417c439, 0xfbc63499, 0x382a9f70, 0xcd595d86, 0x4de3b930,
+    0x1a1b8469, 0xb3d8ca0b, 0x293d3542, 0x4feb0384, 0xb6dfb378, 0x18625d73, 0x58c898dd, 0x062fb7f6,
+    0xad318022, 0x3bcf0ef4, 0x01756f51, 0x23e78763, 0x88d7c73d, 0x1c64d3d8, 0xd8be1d56, 0x3c6575e6,
+    0x33958d70, 0xada04c74, 0x34e52dd0, 0xccbc5b1a, 0x56add973, 0x71789f4b, 0x0c13a6f8, 0x43909c73,
+    0x5e703028, 0x7dd765ec, 0x765528b1, 0x83e5f6ee, 0x53febe07, 0xd09d66c7, 0x09f836e5, 0x01ebd46b,
+    0x26972238, 0x5a895dba, 0x7f17a79a, 0xa28302ba, 0x1dea11fe, 0xc3c64d9b, 0xdf9ce956, 0x5c1fe06e,
+    0x8eb41be0, 0x350ad9f5, 0xa1865139, 0x66dd93f1, 0xdc42f80b, 0xd6550999, 0xa2feb0d7, 0x7e5df15e,
+    0x6098b052, 0x9ffbc4d7, 0x6663433c, 0x9dde8a32, 0xfb43fd7a, 0x2df3bef4, 0xe5493a0c, 0xfa1f5c38,
+    0x40d0e30e, 0x399bd785, 0xd7aab6a7, 0xe701eabd, 0x90c853ab, 0xaa708145, 0xd213ef0e, 0x3aae567d,
+    0x4f056145, 0x208465d8, 0x6d4654d0, 0x9593f03f, 0x96e546af, 0x25e813dc, 0xb6575737, 0x365cb496,
+    0xc75b01e3, 0x7ebbbd4e, 0x9cca0e3b, 0x5f19a314, 0x30cd47fc, 0x43cd3c98, 0xab2aaa6a, 0xac0a6250,
+    0x69f2806f, 0x988ae443, 0x6e1a83db, 0x4c38e349, 0x717bd328, 0x18979a1f, 0xb606f1d6, 0xf37dddd8,
+    0xfe7ffab6, 0x2d1409d1, 0xcd8e3509, 0xf8753a78, 0xe2726eae, 0x1517d1a0, 0x830c4e46, 0xaf09b0c7,
+    0xf530b4dd, 0x4773a5af, 0x05a31f99, 0x5b8b46d6, 0x6dfb1ab4, 0xf6529b3a, 0x0a4737e0, 0xc9231a41,
+    0xbafd869f, 0xc94f9937, 0x1567a816, 0x22b93653, 0x5e313446, 0x54442187, 0x7eee22b6, 0x332a47d5,
+    0x00d1cd6a, 0xaf617cb8, 0x59c37309, 0x2fe85d57, 0x52efa8d8, 0xbb537f16, 0x1fc15abb, 0xd29fd7b1,
+    0x87907d63, 0xcbb15656, 0xad15b912, 0xae5936cf, 0x3b030d91, 0x845974c4, 0x208076b5, 0x077c6f3a,
+    0xfda76578, 0x9fca6b26, 0xbee19b40, 0x6250ac60, 0xb84cc1a3, 0xa93c47df, 0x4b903f34, 0xd1ba573d,
+    0xe607b7d4, 0x18e8d255, 0x8bacd504, 0x34ff826e, 0xae558948, 0xa6feff36, 0x8c6684dc, 0xdb1340a5,
+    0x257f3e37, 0xb788fefb, 0x6a8b015e, 0xa95bf997, 0xb0d74e1c, 0xb2a89f31, 0xf30564cf, 0x4f31ab92,
+    0xf82b92ed, 0x6e584069, 0x71368706, 0xaec1ccda, 0x2c4af12c, 0xb37f9083, 0x3a9cf234, 0xf2b1748d,
+    0x07c144d4, 0x98928222, 0x3c2c6bd1, 0xfeb46901, 0x35509609, 0xd5288762, 0x5c2c1f9d, 0xa92cafa2,
+    0xeb07f94a, 0x04b7caf6, 0x07004364, 0x8182cd6b, 0xdc9270e7, 0xa27cf6d2, 0x7a807393, 0x78c799a9,
+    0x96fcc715, 0x74d5feb8, 0xb04b727c, 0xe742f524, 0x2d2cf4df, 0x91dfff28, 0x4dc96968, 0x23c9534e,
+    0xd9523a89, 0xb67fdf00, 0x2f2518a8, 0x9b759aaa, 0x63f43a7b, 0xfdda1019, 0xf710307c, 0x32fb2176,
+    0x9c8870d0, 0x652ad722, 0x2c33fc4e, 0x272b1399, 0x4ec41761, 0x34a7b2c7, 0x59e89826, 0xb731ecd2,
+    0xca83ae46, 0x2096ef50, 0xd1ee2a7b, 0x8b89a35e, 0x14f9b631, 0x86fbe8d1, 0xabf453b6, 0xb93542bf,
+    0xc7c3e3fa, 0xff3cb085, 0x39c31413, 0x1d313f4c, 0xaeb2c3bb, 0x960e5fca, 0x9de97adb, 0x542d64d8,
+    0x688ba3b5, 0x7cb06a8a, 0xce86aee4, 0x8ce14aa4, 0xea0cf2c9, 0xab878eff, 0x56bdf633, 0xb85c7070,
+    0x33382c83, 0x47aad5de, 0xd747810b, 0xb6021076, 0xdcc48f12, 0x8e4b9169, 0xb7ea235e, 0xc88b038e,
+    0xc7b51998, 0x9a180ab0, 0x10e7b1d3, 0xa3da29d9, 0xd0b03fb7, 0x241dcc93, 0xa0d029d6, 0xa11993fa,
+    0xf0c8f124, 0x02c9fcbc, 0x628356e6, 0x2948e1d3, 0xc0f5b8f2, 0x21621ca7, 0xdd769f4c, 0x3d02d6e2,
+    0x9c4b089d, 0xc7f54b6c, 0x671d8997, 0x992bb6d3, 0x5eee50a6, 0xd220a1d2, 0x38fa41c2, 0x1a169115,
+    0xce560d6a, 0x62074c02, 0xfde2aace, 0x472f1b7e, 0x0bc1edeb, 0x384e2945, 0x4f3b525a, 0x77e15121,
+    0xa55556e6, 0x628b6c9b, 0xa2df82dc, 0x7e0ac41e, 0x1738e48e, 0x3dc7ef22, 0x11522bd9, 0x8ed1f129,
+    0xc8013da5, 0x19633260, 0xbeeb8aea, 0xe8e88be3, 0xb792bd7e, 0xfc0f5a1c, 0x3ee2d671, 0xf4b40de6,
+    0x84de945e, 0x295caca2, 0x06431f64, 0x08fbe5f7, 0x2226fdbc, 0xb285b631, 0x5ff51011, 0x7fc4157d,
+    0x38ed580f, 0xcaea0555, 0x5d1c533a, 0xfe7f7747, 0x20ab7416, 0x0b8b8c2a, 0x00dac72b, 0xac7d784a,
+    0xe9499084, 0xeefd1998, 0x6a780980, 0xbe654f4a, 0xe91f7aba, 0xda35db20, 0xe9c070d7, 0xc5d5505a,
+    0x230642b9, 0xc7827140, 0xd30dee99, 0x33f890d0, 0x1429ff90, 0x7eeb3693, 0xce9b31f4, 0xcd4ce912,
+    0x332b2ddd, 0x34184dce, 0xfb6d80e3, 0xc03ea009, 0x8be0de8a, 0x26ffb425, 0x8ea83fb2, 0x3a1a5518,
+    0xbf291661, 0xd32f5860, 0xebcd9bdc, 0xb1a49509, 0x3bb8a8e9, 0xebd10c0d, 0x3aa3be32, 0x1a210228,
+    0xe9d9fcec, 0xa107c266, 0x78e0e999, 0xd227f60b, 0x4297d43a, 0x0a809898, 0xb28d992b, 0x0adb6c3e,
+    0x1e05086a, 0x57dce47c, 0xda91f369, 0xa90115aa, 0x265f0ead, 0x5be9a5ae, 0xf07b8d1d, 0x9dc72c71,
+    0xf8852348, 0x846e47ee, 0x9fe4f7fa, 0x44c5e4f0, 0x48b08c0e, 0xd62b8e9f, 0xb1e1f5fc, 0xf466f0b4,
+    0xb8428658, 0x470b6a4e, 0x30d8769f, 0xfd040cc0, 0x4e3b37da, 0x322363fe, 0x70f0e7e8, 0x565a2c4f,
+    0x18f981d7, 0x31d3be5d, 0xef7b3bb0, 0x4a4bb897, 0x41c5e8cc, 0xcbb6f10c, 0xd43426d2, 0xfedcecde,
+    0x28adf7e7, 0xcb41b0db, 0xab3563ba, 0xff99719e, 0x7623b3ac, 0x8b93fdb9, 0x10d6d809, 0x2e0c314c,
+    0x40d9a1ef, 0x4ad373ea, 0x7c5dcbb5, 0x2e41403a, 0x6e7dac8c, 0x9fb47c1d, 0x33ef4d1d, 0x90bda8d1,
+    0xdae169f6, 0x1fef17e9, 0xfa969bb5, 0x1ffefa0b, 0x83ed4f26, 0x17298438, 0x34dbbcf8, 0x73ded5e4,
+    0x7350c340, 0x08763280, 0xc0c36fd0, 0xeb5cd3b0, 0xff727f55, 0xeea57d82, 0x4fd8261f, 0x148e305a,
+    0xfd7a95cb, 0x47d62055, 0xfd6352ca, 0xccee3545, 0xcb0179ed, 0x613203e0, 0x9088be25, 0xf8fcb527,
+    0x9a55ef88, 0xfcfbbc91, 0x18ab0e22, 0x5a5619fa, 0x24157cbe, 0x7dd257fe, 0x326ff00b, 0xc79e3e6b,
+    0x73b40133, 0x38c3b59e, 0x01c61c7e, 0x4020d534, 0xff6ad97e, 0x65ce3754, 0xccb1b035, 0x69b4773f,
+    0xe783428b, 0x6332cd61, 0x72c74087, 0x84181605, 0xd37ca44d, 0x15b90fbe, 0xc43ae1fe, 0x95c9d82f,
+    0x11d0d37f, 0x2a79a6ad, 0xf09d1ad5, 0x1f5cf461, 0x38e1750f, 0x87369105, 0xb67f8fd0, 0x2106b83b,
+    0xbddeddd5, 0x6fd8c7ec, 0xdfd06c47, 0x058e1b82, 0xbe5efd40, 0x4f1044fb, 0x98beba12, 0xb1339a5b,
+    0xbfee94d4, 0x2f1cabb5, 0x82d4ed94, 0x937cf97c, 0x35d34b5b, 0xbcdcfe0e, 0xc7755387, 0xdb98fc10,
+    0x00000000,
+    0x7c497d55, 0x3baa3e74, 0x0cca1fbd, 0x05cf0b3a, 0x236d5901, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699,
+    0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000045869972319801430232216417906\
+                         04173881593129978336562247475177678773845752176969616140037106220251373109248 */
+  { 0x00000000,
+    0x12466726, 0x60280b8d, 0xaeb5cd85, 0x8e0bca64, 0x0c675087, 0x5ebe3fb7, 0x15c02e9e, 0x568655b9,
+    0xd38f4f3c, 0x4aac99c4, 0xe484d621, 0x9ec47cac, 0xe75bcb8d, 0xebe74c40, 0x18a66a7c, 0x73cfd537,
+    0x0fd13afb, 0x0e597065, 0x71f14d77, 0x9ce7c426, 0xd8bb9beb, 0x37b63221, 0xe574c7da, 0x16ad7fc4,
+    0xaa7ae4cb, 0xb4d9cf1d, 0x16ec9484, 0x40fcdd63, 0x298d317d, 0x153d4314, 0x589c1232, 0x33b55d55,
+    0x689a83f5, 0xff88205e, 0x18fb3ab4, 0xcd5a15f0, 0x7d9599f5, 0xcecbf18b, 0x7fe34d0f, 0xd86a667e,
+    0x00eae736, 0xb10a4d9f, 0x43aa596b, 0x37a03e6d, 0xb292fb1c, 0x8bff0bdf, 0x0e8a7262, 0x86e83e86,
+    0x82d18d19, 0x0378c77c, 0x76aec3d3, 0xdf6097d4, 0x97392483, 0x27e97acf, 0x2c0f2c52, 0xd055bb7d,
+    0x1451d8a0, 0x8a4b2a31, 0x6a3d2502, 0x4c35046e, 0x8a019bdd, 0x978348d4, 0xdddcf137, 0x64c987db,
+    0x01021dee, 0x041e9759, 0xae47e988, 0x23e9c81e, 0x17fe35dc, 0x1d46d596, 0xd16da663, 0x77691db5,
+    0xe2640332, 0x7c3f26d4, 0x54526b71, 0x005e5f6c, 0x920c7512, 0xf950c3b6, 0x54c5e9ff, 0x4a149941,
+    0x7f789fb6, 0xe3e673c2, 0x5f0bc05a, 0x4548a1d1, 0xfd47f96b, 0xbb75dcb6, 0x06392cda, 0x719f76e0,
+    0x53a1ac76, 0x888e18ed, 0xbc13eb7e, 0x7523b3d7, 0x8c85749c, 0x4765d5ef, 0x62c9fc3d, 0xead8879a,
+    0x1d3a6018, 0xf20365ed, 0xfc860fee, 0x55024212, 0x233d083e, 0xb16e4661, 0x3327bed4, 0x71f6ce9e,
+    0x06927b17, 0x0e4fc713, 0xad241b4f, 0x9e01e575, 0xe8801aae, 0xd3757c11, 0x1ec85f30, 0x2531d9ba,
+    0xd2aaf96f, 0xe091236f, 0x97d45d62, 0x3aa56b14, 0xf0a626c1, 0xdb61548e, 0x07114e8f, 0x42e1d935,
+    0x6e6e6906, 0x02ef1b19, 0x5834c4a8, 0x17f8e89e, 0x9c8f8a89, 0x1fb24d8c, 0x056b4c54, 0xd8044523,
+    0x88940336, 0x4221d23e, 0xd634280e, 0xd1d75492, 0xed3709ce, 0x4f3bcdce, 0x27604060, 0x117c3d9f,
+    0xb0198618, 0x65937229, 0xa4d4001a, 0xeffe04fa, 0x67ed6b69, 0x3d3fe649, 0x1aa78b9f, 0xee286e12,
+    0xe30ce1c5, 0xd97be2ce, 0xd064bfb7, 0x11e8326b, 0xd22d079e, 0x99c932d6, 0x2f910ab2, 0x8c3f80c4,
+    0x8f309f0d, 0x4e11392e, 0x1eaec207, 0x31ba4dcb, 0x99a1d39b, 0x3125785e, 0x3f6cbc29, 0x2955e345,
+    0xb7f44352, 0x4ff61030, 0x7e5e3242, 0x6afe77e8, 0x195afcd2, 0xab6fa709, 0x6e3223d9, 0x22f891bd,
+    0x0049374d, 0xedba2305, 0x6784eeac, 0x5feb7f64, 0xa9748194, 0x66b72a1b, 0x211bac75, 0x76e85226,
+    0x34703459, 0xe6dedf4d, 0xf6ae23ca, 0xe686115b, 0xce48a76a, 0x38cf4c1e, 0x044f18cd, 0x953dc042,
+    0x0268687d, 0x4c61b2f5, 0x7acd8e25, 0xe7faf078, 0x9d483ade, 0xc19bece2, 0x8b478cf2, 0x5f4fe8c0,
+    0x3367af38, 0xfe082a54, 0xf9fad417, 0x949c93b4, 0x3b3f27ed, 0x428b8894, 0x462199b7, 0x19af6259,
+    0x0af61b07, 0x866af7e0, 0x284b90ae, 0x89be167f, 0xf8c89d73, 0xddba6996, 0xf45d2507, 0x0e403341,
+    0x8869e5b9, 0x022acc49, 0x2da136ab, 0x52a16e10, 0x837dcbaa, 0x6f5466fc, 0xd4a5a1c1, 0x126ff0d4,
+    0xe38e48a2, 0x0964f343, 0x05dadc34, 0xff3330f8, 0x59580881, 0xaba14156, 0x1b6eba6d, 0x86148a6d,
+    0x3db2a7e1, 0x66300bcf, 0xae65713b, 0x006c7f05, 0x591ade80, 0xf9908fdf, 0xf0a5f8f2, 0xa0c1f5df,
+    0x16373ab6, 0xfb16a936, 0x781b1cec, 0x8ab282fc, 0x5440acc3, 0x5ca0a733, 0xaab5978e, 0xb4a7177d,
+    0xf4c2f193, 0x576ca915, 0x13143089, 0xd794a887, 0xed362f13, 0x22449352, 0xad486ce1, 0x86bd996f,
+    0xc20308ec, 0x7fb13350, 0xf26e5922, 0x538481f9, 0xa3877514, 0x5e9faca4, 0x5e50efcc, 0x4c7f9e46,
+    0xd12b80b8, 0x656ea039, 0x4b3ea5dd, 0x955b76f9, 0x4eaa3c6b, 0xbb770c49, 0xb1073a80, 0xc71a5ba6,
+    0xe7de867c, 0x4cf71208, 0x76283971, 0xd6bcefa9, 0x839d6f88, 0xbeff639b, 0x63ec7d66, 0x1005874e,
+    0x15f056b6, 0xce7588c5, 0xd2b5c0b7, 0x33d35b59, 0xf64408ed, 0x38e03f2f, 0x699f645b, 0x3863c537,
+    0x24fdce7e, 0x808385de, 0x93bbb9cd, 0x49b5d586, 0x1eda6b9c, 0x20b3ef3f, 0xf89dde7f, 0x20aa54ba,
+    0x894e28a2, 0x224e0775, 0x9ff7c11b, 0x5b7186c5, 0x073dd39d, 0x5841a3fe, 0x6977bae4, 0x3378b9fa,
+    0x55415a1a, 0xa18fcfab, 0xe24fb2a7, 0x35c76333, 0x3d866c49, 0xcd9db38c, 0x830c4fea, 0xf815d73d,
+    0xb87296b0, 0x2ae9e451, 0x43e9d6b7, 0xe989dbe6, 0xe53dffa1, 0x9ba1d005, 0xd92a4634, 0x3476c974,
+    0x8fa23d91, 0xf796bab7, 0x4db7f931, 0x02f77256, 0x3dc72232, 0xb31863b5, 0x998f8ad2, 0x7e658221,
+    0x07cd99c4, 0x9648342c, 0x1fb17ccb, 0x98a614ad, 0x9ebbb2e5, 0x9a830cf3, 0x13bd8fcf, 0x263abbcb,
+    0x23d20ddf, 0xea47393d, 0x3995e0f3, 0xf38bb1d6, 0xd5af8759, 0x480836af, 0x16eaee4b, 0xb07af439,
+    0x74b5bac4, 0x0afed906, 0x4d2da0b2, 0x81f3e947, 0xebd025de, 0x25b27cc3, 0x0f472eac, 0x71933619,
+    0xe0372dca, 0xff7b17b7, 0xc7359547, 0xd8f8bc63, 0x3670200b, 0x2fcee776, 0x80608257, 0x95a150f6,
+    0xa5fb9c2a, 0xa4f23a19, 0x11936f12, 0x2f191319, 0xa2f318df, 0xea0a73b2, 0x27c4227c, 0xf0ca52a3,
+    0x341c3d31, 0xca40ecd7, 0x413a8d6a, 0xdd58a046, 0x80f7af88, 0x87794893, 0xa4c9e8f5, 0xcc776719,
+    0x78cf297e, 0x55faf141, 0x1a6ac6af, 0x5f6fb4ee, 0xe67ea8f0, 0x2815bbdc, 0xb134ace4, 0x8a64a0a3,
+    0xa61c8a04, 0xd93ccfd7, 0xda40c478, 0x00b313e0, 0xc2d3ef18, 0x08571492, 0xb2bd3682, 0x8a5654dd,
+    0x106057e0, 0xe58dfd3b, 0x89be2d44, 0xad7b0212, 0x4fbdf17e, 0xfffeb71b, 0x5131a387, 0x0de250aa,
+    0xbdfd7004, 0x7ce9ebde, 0xb8a93cc4, 0x26bc4573, 0x9a650576, 0x321d84bb, 0xd3055ccc, 0x68075853,
+    0x1b35ac44, 0xedaede29, 0xdb6ef1f3, 0xb9464de1, 0xd586737a, 0xbaa21b80, 0x0a1609d3, 0x320d27a5,
+    0x00c99c59, 0x81d7b998, 0xd6311a89, 0x1b7db4ad, 0x4129b510, 0xefdf7fcf, 0xa893da9d, 0x3f8ccf3b,
+    0x688076d9, 0x54c569a5, 0xaf5c76d2, 0x2bcb2901, 0x62243665, 0x36976e04, 0x43df3af1, 0x5febba65,
+    0xd8b32b31, 0x6fabff6e, 0x11d02766, 0xf683b85a, 0x225076fa, 0x01b04294, 0x0f01bff9, 0xce7abaa4,
+    0x879ea145, 0xcc00abb9, 0x3d0a71e4, 0xb282ccc3, 0xaab47ec2, 0xb5c90fc0, 0xa4212d57, 0xf4eb1f3d,
+    0x9b2e6deb, 0x1f716d0f, 0xaf696970, 0xd3ccae1e, 0xc6e370d6, 0x372166ca, 0x85f1d7c9, 0xf4595047,
+    0x940940ba, 0x4dd24955, 0xdbebebdf, 0xa294db14, 0xa92b50b6, 0x2648a3fd, 0xb78f98f3, 0xfd4fbdd9,
+    0x1668a7dc, 0x2be0f692, 0x394a9bf4, 0x723652ed, 0x8d1e9088, 0x931f270d, 0xfcb96ff4, 0x19f244bf,
+    0xb5ead0d6, 0xd3991540, 0x7b991989, 0xe4622cce, 0xeac8e9bd, 0x0c29e193, 0x52cbf7a0, 0x8e2ff2e9,
+    0xaecd4161, 0x90b7df62, 0x546fb0a7, 0xd46488da, 0xa9e54c57, 0xb6ec7868, 0xfa494257, 0xc92c54b5,
+    0x85d8dffe, 0x699c71d9, 0x11119157, 0x5ee2ef1f, 0xa76810ff, 0xf8bcad62, 0x4aa5c767, 0x8b5e69e7,
+    0x1ad467a8, 0x9518f04e, 0x27ac8471, 0x76afdc93, 0xf72e2356, 0xd130227f, 0x7ae0cdf2, 0xa81f7733,
+    0x2bfb5701, 0xd899d955, 0x6f81b2f2, 0xc530e378, 0x9ab3bed0, 0xb353fcb0, 0xfda7afc4, 0x7ec51233,
+    0x1a2948d0, 0x5d366fa2, 0x19365134, 0xb2eabad7, 0x121ddd6e, 0x567138b0, 0x0c26d430, 0xc08925f7,
+    0x5f26f938, 0xbbc1aedf, 0xb03ffab6, 0x3c70bc57, 0x7ce36a42, 0xdda87dc2, 0xb6d017cd, 0xf01d266a,
+    0x1665f321, 0x71fdbc7c, 0xb58cbaac, 0xe070a3f8, 0x1de9223e, 0x6271802d, 0xdb8cb291, 0xb527d93a,
+    0xfd93745a, 0x8226d099, 0x2c0243ae, 0x99975404, 0xbde4f4ee, 0x4917f5ca, 0x751bd0ed, 0x65af3d07,
+    0xdd127892, 0x59ad99fd, 0x14c5741a, 0xab0a6ed9, 0xa16279a9, 0xc1ced7eb, 0x3fdede4b, 0x1be7546b,
+    0xd4a20c3f, 0x2d0dd609, 0x0a403998, 0x6d754a7f, 0xe6105f24, 0xb4acffc5, 0x99c3b4fc, 0xac8da45d,
+    0x484182c1, 0xabcc94df, 0x534006ec, 0x90e4cc0c, 0x2b9eb669, 0x179b35f7, 0xf020e472, 0xbb864e69,
+    0x39f7284e, 0x99d42bc9, 0xd17b4426, 0x17066543, 0xb8b05f69, 0x1020997b, 0x92802340, 0xbbe80985,
+    0xe592c604, 0x45dda12d, 0xed9c0f2e, 0x85b34be0, 0x1729f9cb, 0x73491928, 0xc4300e3a, 0xc15aede0,
+    0x108b4c56, 0x58e31b3e, 0x1464bcc6, 0xd3ea9986, 0x302a1e38, 0x2583be77, 0x0317d36d, 0x547c24d3,
+    0xac6c6ab4, 0xe5c53896, 0x863938bf, 0xc3bf1819, 0xf9c374f2, 0x38e2ae97, 0xb4960b3b, 0x2fd36d85,
+    0xc3f97f54, 0x4cb22fac, 0x1ffbafd1, 0xb217f7de, 0x7652d6df, 0x1080da58, 0x4874407c, 0xe528d2e1,
+    0x6a0658fc, 0xe965e30f, 0xff5cfc87, 0x50471465, 0x23707656, 0x4493f8d5, 0xb4e8cd73, 0x50c40109,
+    0xd98af956, 0xd6dbd11f, 0xc57c92d8, 0x54c3d1c2, 0x4401655c, 0x25a1d4c1, 0xc80195b0, 0x5e04f925,
+    0x720039ea, 0xdaaac4d9, 0x27d92782, 0x239b61d3, 0xa314f78e, 0x999ec3b8, 0x847d47db, 0x0cce9b19,
+    0x8fc69d67, 0x3c9163ef, 0x990bfe0f, 0xccd3635e, 0x9f8baa9e, 0x6319339b, 0x90b56a6b, 0xa290b923,
+    0xb107d7a0, 0x4c83dfcc, 0xb882f87c, 0xb49fa15b, 0xa5ddb096, 0xe1b47845, 0xf77b642a, 0xac86bcf0,
+    0x2b63ed8e, 0xef2b2a7b, 0x54b82299, 0xdb679de1, 0xfb513529, 0x8497f4c3, 0x51e692ae, 0x240a87ef,
+    0xc53a769d, 0xb1b28e05, 0xee2d93da, 0xbe933928, 0x44e14937, 0x27a2223a, 0x7f3e9a14, 0x964698c9,
+    0x83852434, 0xf139936c, 0xfe264dc1, 0x52839a5a, 0x636b6aa8, 0x4940fe04, 0x74b29cfd, 0xf7721266,
+    0x644c64bb, 0x64befb9c, 0xdaf80190, 0x1e3018a3, 0xdffff82b, 0x534f1fc1, 0x33c4fd7a, 0x21a3a943,
+    0x9b86ed66, 0xf2756727, 0x3e89a341, 0xfad154d2, 0x4ec509d3, 0xb0a678c7, 0x0a17e010, 0x73c5f0a2,
+    0x15d59a80, 0x699c811e, 0x7c7ec798, 0xad057a27, 0x5dcc56ac, 0x9d221a5f, 0x8ee1d066, 0x3a5f52dd,
+    0x8e983df1, 0x75454469, 0xa436cc91, 0xec4ea986, 0xba3ec39e, 0x6c874c92, 0x38cec603, 0xcf6e12b2,
+    0x81f77220, 0x11951409, 0x944bacaa, 0x52359ecd, 0xe62fd697, 0xdb6cdf4f, 0xf4c812c5, 0xa127415d,
+    0x1325b85d, 0xf20f71cc, 0x502d5f79, 0x81f3aaa6, 0x7823117c, 0xf366ae58, 0xc9064171, 0xd81208a8,
+    0x2eed6ece, 0x23d6c034, 0xe1b361f9, 0x4a4da917, 0x750bcf9d, 0xcf300875, 0xd699906d, 0x3df082e2,
+    0x72565a31, 0xb9d900e8, 0x26879378, 0x3a86c400, 0xc5b4ef83, 0x41c4d940, 0x01e96bed, 0x732b3d97,
+    0x4659ce96, 0x985ba4ee, 0x9e2d9601, 0xde2adc88, 0x467d74eb, 0xc86367ae, 0xd952b98e, 0x8c148da0,
+    0x41215184, 0xb87afd91, 0x8c801dfc, 0x31500952, 0xbc3aa582, 0x94a15927, 0x01ea8620, 0xe3683fe5,
+    0xd7572035, 0x3e1d575c, 0xf3889d2d, 0xf5c9723a, 0xb090b127, 0xb621a63e, 0xf27b5d90, 0x646c52a0,
+    0x3286d998, 0xd501e4bf, 0x390496c8, 0x25c7dec9, 0x5973a0dc, 0xc4383cd5, 0x1d432f48, 0x6ade0a0b,
+    0xcb7fae77, 0x5de86057, 0xb7012e77, 0xeb41fde0, 0x58ebe0ea, 0x02692119, 0x5a87868c, 0xea9413b9,
+    0x73751671, 0x3891a9bb, 0x16eff39e, 0x91343cc3, 0x1cbafc1d, 0x63bbd8b8, 0xe746e70e, 0x12951048,
+    0x8d2d74f6, 0x7463f5bb, 0xd30a9963, 0xce54b012, 0xe638177b, 0x8f66ea37, 0xc5aed4cd, 0xb404df25,
+    0x7fc3b7ad, 0x84fd4e7d, 0x4497dc6b, 0x8d8bc5ac, 0xe5f42dba, 0xfd02978d, 0xc772f992, 0xd1bfba12,
+    0x3765614c, 0x3fd03982, 0x85b7a741, 0x343e1781, 0x5a1ee5bb, 0xdc685f22, 0x359beef4, 0x8531a003,
+    0x1beab51c, 0xcf806b41, 0xd0ecbc5b, 0x1a78531c, 0xb4a67ebe, 0xf9e697ec, 0x835b2bd5, 0xef859b36,
+    0x4eae109d, 0xe9753596, 0x57f74f53, 0x40f41ca6, 0x46d3dbf7, 0x12da99c1, 0x76fca8f1, 0xf0cbbdf1,
+    0x0254915d, 0x8b080ed2, 0xc87da288, 0x60776836, 0xbd6a2d12, 0x817bedcf, 0x7b6183df, 0x4a5f92b0,
+    0x95673313, 0xe828f033, 0x290c55f9, 0xea0c9179, 0x0819a19d, 0xedc2dd5a, 0x47773eee, 0x1a6f9b66,
+    0xbb892878, 0x39350f0c, 0x90c7fffa, 0x60a0e5a4, 0x86ed0ed7, 0x3d8a359b, 0xdc441b4e, 0x5d40f8c6,
+    0x0f1d29d7, 0x7fe84a6d, 0xe6d61cc0, 0xef58bcaa, 0x7fa9c303, 0x79648dd6, 0x7956a3b9, 0xae25373e,
+    0x06e501d4, 0xf6fbe025, 0x85805af3, 0xbe0a7fc0, 0xf4d65359, 0x0ebd112d, 0x916c9dd4, 0xd8eb6347,
+    0x4feaf011, 0x74819011, 0x1b4cdd8c, 0x67456bf8, 0x5d92cf39, 0xea02d269, 0xbd37419a, 0xf0ec5758,
+    0xbf79c3a8, 0x78ce2fdd, 0x26ab30e8, 0x48fef994, 0xff7577cc, 0x5addcc28, 0x581fd68a, 0x26f89863,
+    0x20531040, 0x09907653, 0xb232ef1c, 0xb38a4533, 0xda510ebf, 0x515e0caa, 0x534d57b9, 0x966ab5a6,
+    0x65b84cf7, 0xf1bf6d34, 0xc5549eaf, 0x8c0a0276, 0xe05b9946, 0xf4d5bb77, 0x9e25e773, 0x5d16e965,
+    0xc96aebd9, 0x0cc87daf, 0x3ed4fa4b, 0xaa5938e1, 0x368d8535, 0x97906cfb, 0x9f5bd9ab, 0x0712b10a,
+    0x65092c63, 0x9afbfc28, 0x9191de10, 0x2c3847ee, 0x36d5a4d2, 0x494a99ac, 0xfaebfd21, 0x9057056c,
+    0xa506a079, 0xe56a9e24, 0xb536d67b, 0x2fb4cd6d, 0xe28c1e1f, 0x2c7067dc, 0x6d44bd78, 0x2a8cd5f0,
+    0x5bbcddae, 0x54b7ad3e, 0xb073de64, 0xbb3e9b60, 0x45275be4, 0x59fdf7fc, 0xcee49c00, 0xb306d95f,
+    0x5497a3f1, 0x543519a4, 0xa61abcfc, 0xee849868, 0xa31154e5, 0xd7de44f2, 0xe015ff61, 0x067a8ddc,
+    0xd4ae1d4a, 0xbad1de57, 0x84f9a91c, 0x4298dcae, 0x7e5dadf1, 0xb86c23e9, 0x6a14cdcc, 0x7d0c25d8,
+    0xda7dfb66, 0x182311ee, 0xa31d97a3, 0x7f81c70a, 0x9b0230bb, 0x1b97c71b, 0xd03a4d32, 0x853c9937,
+    0x6137a504, 0xe5a71303, 0xa462c9f7, 0x51bb4ab1, 0x99eff02e, 0x9dbf94aa, 0xa85229c1, 0xbcd79dc2,
+    0x28282bc8, 0x5a68eba6, 0xc1aee266, 0x3886690f, 0x813f45af, 0x745ea5d8, 0xd1b1e07f, 0x1d8d32cc,
+    0xc22b134f, 0x664f7b6a, 0x6423cd8b, 0xed8fe92e, 0x6fca9471, 0xb55db171, 0xec20883e, 0xffd7aa7b,
+    0xee06c074, 0x26d22630, 0x04df6d7e, 0xa99188cb, 0xf9460578, 0xc83fdd44, 0x7f6a5c74, 0xdbb3530f,
+    0x5cf6b0a5, 0x1f4a534b, 0xf3fc3b9e, 0x6f04add9, 0x8c7b65d6, 0x39e06b6e, 0x19f03543, 0x672bba81,
+    0x9106b2e4, 0x9252ee3c, 0xd80a91ea, 0x5508032e, 0x09c54db5, 0x0261579e, 0x605a594f, 0x512928c0,
+    0xbbe693f3, 0xfbdce99a, 0x31b1dfe6, 0xe4598350, 0x65002f73, 0xed052953, 0x78b52cb1, 0xa36fb2ea,
+    0x0ce44254, 0xddd175af, 0x0585a252, 0x19e5a5f9, 0x2347696e, 0x0cc9992b, 0x371b14fa, 0xa7a7e767,
+    0x00000000,
+    0x3e24beaa, 0x9dd51f3a, 0x06650fde, 0x82e7859d, 0x91b6ac80, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c,
+    0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000022934986159900715116108208953\
+                         02086940796564989168281123737588839386922876088484808070018553110125686554624 */
+  { 0x00000000,
+    0x95e549a1, 0x0375920e, 0xaed0dfac, 0x57d00f4b, 0x50df5692, 0x00f663d7, 0x500fb269, 0x343d25ea,
+    0x86e04dff, 0x3342e182, 0x2f9ac091, 0x6d5de3c1, 0x042e60d0, 0x96bad25c, 0xa3002659, 0x6def46ad,
+    0x702e6b23, 0x367f9c5a, 0x6dfbfd22, 0x452307c3, 0x4bdeb464, 0x4c47d8ac, 0x0620b654, 0xe98c6e7b,
+    0x85215a29, 0x43703223, 0x682edd75, 0xa0b6692e, 0x110145f0, 0x20f29012, 0xfcd423cc, 0x727845a1,
+    0xd4f0bd80, 0x918d0b46, 0x184c61c4, 0xb277e156, 0xa67a747a, 0xa5cf522b, 0x3271146f, 0xd586e709,
+    0xd087db01, 0x93d58607, 0xd5041884, 0xcf510309, 0x1cad9cf5, 0x6e5ff878, 0x3a9e349a, 0xf2373daa,
+    0x0767179f, 0x8df61621, 0xe12eacde, 0x6c9c69ca, 0xe341c470, 0x8bd5f3a9, 0xa75ab577, 0x7c9df9a2,
+    0x496190fa, 0x9c524355, 0xf5ffd84a, 0x62def978, 0x1c8c419f, 0x44ac7a6c, 0x67d9b175, 0xebe44329,
+    0x02db68fc, 0xa1d5f372, 0x56eb6599, 0x2e9236f6, 0x2b78404c, 0x043d8f4c, 0x0a9c16c7, 0x86fa4e3a,
+    0xb4d71bd1, 0xdb91cf27, 0x00870d6e, 0xdce6c255, 0x7d231a3b, 0xd0495c18, 0xd711dd88, 0x3918336f,
+    0x08cd1733, 0x83222a57, 0xcc946aaa, 0xa1de5b67, 0x488f35f3, 0x0c18a2b6, 0x907bcc26, 0x7eb1c86e,
+    0x4b37bd30, 0x752e9046, 0xe617f682, 0xa53eda85, 0x8236d519, 0x467d697b, 0xdfc9502e, 0xcd78a2e0,
+    0x96fde9c1, 0x6148494d, 0x0e461192, 0x021b0d1f, 0x8a1536a5, 0xf5e6ed9b, 0x113ca934, 0xb77ef3f7,
+    0x0cf954a7, 0x2a86582e, 0x7df8262e, 0x0c9764b6, 0x653eddce, 0x69c8c9b4, 0x9212ba40, 0xcdc7b03e,
+    0x9d880f74, 0xe2ba0d91, 0xc4242984, 0x18fcd315, 0xab2a214a, 0xbf1352e3, 0xc347834b, 0xfd3216da,
+    0x410e4640, 0x72b36241, 0xa51980c1, 0xd4c26a43, 0xc1a3ddc6, 0xf35f982a, 0x4b9d9a34, 0x40d5006f,
+    0xc21ce2e7, 0x6b71d6b4, 0xb9260ac6, 0x23f5c7c9, 0xa0498aa9, 0x614f496f, 0xd9eb7719, 0x93fefb2a,
+    0x0ca7b512, 0x032a5315, 0x569115aa, 0x815089ff, 0xce1eec3f, 0x6a35edac, 0x2622610e, 0x00b4db38,
+    0xac089c19, 0x40d8b142, 0x56a6faa5, 0xfd071a07, 0x859a224a, 0x5868908e, 0xea493da8, 0x8f5c5208,
+    0x88c7ffca, 0x099784bc, 0x86412df1, 0x391d67c5, 0x36a58b41, 0xdcbe2485, 0x4373a656, 0xb7b5dc96,
+    0xd945928f, 0x98ca5106, 0x85eb85f3, 0xbe0cbc55, 0x00900a70, 0x2fcc93be, 0xe9c30728, 0xaa966420,
+    0x1a4a62a5, 0xd77876d8, 0xdd45b54b, 0x420014c7, 0x306f7a57, 0x25b90966, 0xd9ef6b44, 0xafc1fc67,
+    0x851c20ac, 0x1dd47820, 0xb6347168, 0xb5911d2e, 0x35947c07, 0x23dac737, 0xe985a7b6, 0x1333f092,
+    0x5d60560b, 0xd827d460, 0x925e2d9d, 0xb9633697, 0x884cf8ff, 0x163a2456, 0xf38b08ff, 0x79128d89,
+    0xbaac83a6, 0x1a5b618e, 0x2a672fca, 0xb750d455, 0x4f021573, 0xc31cea77, 0xc4b0b644, 0x801eb675,
+    0x42fc04f8, 0x4654af95, 0xbdc24d6d, 0x052ada77, 0x9e2d4ac3, 0xf99bdfcb, 0x7e448371, 0xc4d0482f,
+    0x9ff9c1eb, 0x404ba86c, 0xda72bb3d, 0xc93266b8, 0x5cb835c5, 0x087aea50, 0x4c9fe197, 0xda8a2c21,
+    0x5a791066, 0x95ec10d3, 0x7da964d0, 0x75ff4476, 0x31720091, 0x160fc1c4, 0xc66a62b7, 0x1d612204,
+    0xf82ecee0, 0x7428d4ed, 0x1e55da75, 0x1e0556f9, 0x902c979e, 0x3d731fb9, 0x9ac4ff30, 0xe560aeb9,
+    0x46e56869, 0xd84bdf88, 0x2bf195d7, 0x481c3bef, 0x14bb2168, 0x4da4cbed, 0xf1da6b35, 0xaaa4bcf7,
+    0x6de798f8, 0x84b5b148, 0x68f56228, 0xf81161aa, 0x4ee36bab, 0x6284f383, 0x239d9fea, 0x4f806ca8,
+    0x3a8456b7, 0x56ebdd45, 0x87ea4bcd, 0x440207df, 0x3c096a3a, 0x201e56e4, 0x82d1fe70, 0x463e4bee,
+    0x659a15fa, 0x3d779a14, 0x70289aaa, 0x30d448fe, 0x2a9e2b8b, 0xaba32f5f, 0x61c59ba5, 0x3cb59136,
+    0xeadec98b, 0x0d4c6f92, 0x621a49b6, 0xa66c51de, 0x67235052, 0x30bc7fb6, 0xa3816126, 0xddf8034a,
+    0x0c3ee5ed, 0x9ac5e292, 0x36cdc075, 0x47eea7d2, 0x2d04c9bc, 0xb9b8b2a4, 0x99536310, 0xc4a325a9,
+    0xb618198c, 0xb12bf7bd, 0x04262a9d, 0xd143b9b6, 0xb4dea4e0, 0x4a4b6fe6, 0xaf8b09c9, 0x2c3db9d6,
+    0xb00f9147, 0xc0f3785b, 0xeac8773d, 0x048f30c0, 0xa8825bb2, 0x517af14e, 0xc1a1cd53, 0x35708e18,
+    0x59e7734e, 0xa322e737, 0x89ffeb60, 0xbbd944e3, 0xff654820, 0xb693cbb5, 0x9353309f, 0x1fd7b676,
+    0x4025bc11, 0x415a7cfd, 0x93d31f6e, 0x9c708d15, 0xeb433c6a, 0xe55ebe83, 0x157372fc, 0x14b6f3d0,
+    0x7e203f6b, 0xc02cee3e, 0x0f362056, 0xa5d603b2, 0x1890b0b9, 0x0a08a8b9, 0xeb6b7f6a, 0x526f6bfa,
+    0x4c0bc3a7, 0x310f636c, 0x8e690d2d, 0xe07d61c2, 0xb8c71628, 0xc40eb80a, 0x322a25af, 0xbf1cd0cc,
+    0x60d1832d, 0xef65e60b, 0x021f8db1, 0x2e32ed1c, 0xe6ef2034, 0xc21ab698, 0x335dd04a, 0x3ae07d03,
+    0xfe8af74e, 0x6ec901fb, 0x7e5fb6ef, 0x2af9d4cc, 0x3602c6a7, 0x79e5b57e, 0xd63a5eec, 0x392b03d3,
+    0x0e0b2fd2, 0x4d1d2ed3, 0xa485bde5, 0xf4ee1bc2, 0xe868a9e6, 0x901e5563, 0xa8ae10fa, 0xc05c511f,
+    0xb0429d56, 0x6d11a826, 0xdbaa297d, 0x038de372, 0x5fb50d99, 0x323011fe, 0x91155ddc, 0xc71edda3,
+    0x22e9a8b6, 0x7db8fd5a, 0x1d6af618, 0x36027088, 0x0b074bf9, 0x57578a5e, 0xf0878ea4, 0x49885304,
+    0x58202a3a, 0xb4a6d64f, 0xdf76b641, 0x0178d807, 0x9dd1d1c2, 0x9462c5cf, 0xc539a4e3, 0x34781b9c,
+    0xc6327da9, 0x58c177bc, 0x36950f96, 0x9082084c, 0x2b0545ab, 0x194be1a0, 0x630644e0, 0x3d6cb978,
+    0x3cd0c487, 0x41fd1c13, 0x762b8cae, 0xd9988978, 0x41673edc, 0x9ec440da, 0x97c8ab4d, 0x7a4d3a8b,
+    0xa4381639, 0x7dcde7f1, 0xa949a4f9, 0xc230eb92, 0xe2205da6, 0xb29da1f7, 0x68f91c3b, 0x7a1c76ca,
+    0xbb0e8041, 0xc33b5368, 0x9e8bc47b, 0xfbe96398, 0x4cf68e6e, 0xece41f28, 0xeabbe166, 0x19c5147a,
+    0x34b0445d, 0x74507c51, 0x3bb21a1d, 0x2735e4bf, 0x805c7363, 0xc9aa4df1, 0xd9c91856, 0x9b73cd9d,
+    0xc1d954f6, 0xf2a99f8d, 0x8d52ccef, 0xc8130247, 0xda15e9e3, 0x5a3b7cd1, 0xbaab84ef, 0xffefd5ac,
+    0xd43eeea7, 0xc5655e97, 0x9f4bcf28, 0x84ae5ec1, 0xae3cd4bb, 0x8d276fe1, 0x368c7914, 0xf86146f4,
+    0xf1da20f9, 0x5c27f25c, 0xe8f3fda6, 0x3dad51a8, 0x28058416, 0x3072cad6, 0x80e9eb1e, 0x531e4c42,
+    0x11588037, 0xb30ba9dc, 0x7b9d896c, 0x200e452e, 0xa87fa45a, 0x774d89ad, 0x67af4566, 0x74e6e5a5,
+    0x30c1bbb9, 0x34e318ce, 0xba7e6495, 0x78b20121, 0xb56cd061, 0x744b9579, 0xfd57dac3, 0x20f8e0d3,
+    0x22958867, 0x15787d8d, 0x21ba24de, 0x15c4fb4f, 0x16a81ce3, 0xdad13e1b, 0x7829010d, 0x7b2d6084,
+    0x90fef46c, 0xfd9434fb, 0xb626ac2e, 0x60e61d19, 0x11113367, 0xdbbc37bc, 0x008a7ecc, 0x957fafb4,
+    0xacb4e0cc, 0x2076d62a, 0xf4be855b, 0xb276b316, 0x531938e8, 0x703f12c7, 0xf4a61f4c, 0xaeb2314a,
+    0x82d1e84d, 0x73ee4ef9, 0x1ba540db, 0xf8bdbd3c, 0x3d767ce9, 0x3e91a42f, 0xe24548f2, 0xd0fce728,
+    0x884447df, 0x450c70d6, 0xd5d2f127, 0x9da009bb, 0x5c83c4b6, 0xebbd2e58, 0x273fd41b, 0xe7553ed7,
+    0x54d11266, 0x4683fd66, 0x82f3ed63, 0x03c506b8, 0xe1700dc5, 0x05a6899d, 0x8bd1ad72, 0x1bba6f72,
+    0x421b2b75, 0x658041a9, 0xa7c79a14, 0x2925a6a2, 0x87a80d92, 0xf5a4b484, 0xdca4d8bf, 0xfa91d17f,
+    0x6cc7cec4, 0x6708dd14, 0x6fc604d4, 0xeafdcc72, 0x7e5efbe4, 0xd1707f60, 0x4f12653b, 0x60f31e33,
+    0x8c928cf8, 0x40b4bbef, 0x5d002e90, 0xb9693865, 0x2dbe9924, 0xf13c47c7, 0x65eb0864, 0x89f8fc90,
+    0x508db02b, 0xb86914ee, 0xc6f14092, 0xf13c7c10, 0xc9da1f7c, 0x7694f796, 0x92dd65a6, 0xd786e5b7,
+    0x34efa979, 0x520f4542, 0x12db06ad, 0x7e92bde0, 0x2b9cedc6, 0x7fa213e3, 0x5ea018c0, 0xb9822d8d,
+    0xcae2eec8, 0x52cebd0a, 0x7631c14c, 0x6ce667cc, 0xc263779d, 0x75673a4d, 0x1bd7172c, 0x3c177ba5,
+    0xcb284422, 0xa072b5b5, 0x7885aaef, 0xf715b3e5, 0x19498c29, 0x0d5791f6, 0x003764ba, 0x903f8687,
+    0x9ebfc8ec, 0xebcbf543, 0x5e133c37, 0x90c5a8d9, 0x8867c5d5, 0xd3d389e1, 0x80b9c797, 0xc178f6f6,
+    0x210b6119, 0x2fd1755b, 0xeea15318, 0xdd052c84, 0x63fdddeb, 0x75648a2a, 0x1abcb0bc, 0x3e4a9bf3,
+    0x4490bb86, 0xc01d5e06, 0x2c3c7b42, 0xc2db15a7, 0x5b51cb6c, 0xb48729b9, 0xb2c5ef34, 0x6f9db9c4,
+    0x30d58ac4, 0xd2a2bea0, 0x9699045b, 0x37d39c1d, 0x1f7b2a37, 0x51c9776f, 0x52a162a8, 0x2886ffd2,
+    0x6153b0f0, 0xf2644652, 0x36394477, 0x268a68c0, 0xb0025d27, 0x56f3d9a8, 0x6292f715, 0x9805a678,
+    0x2458ec7d, 0xb8cac2cf, 0xa9c5b1ff, 0x71754859, 0x6d12d2af, 0x0a903062, 0x9509520a, 0xf72ea222,
+    0x3bd1bce8, 0x65819411, 0xfb38f3cb, 0x15eeea43, 0x7a560efa, 0x32fabdbe, 0x876af7a9, 0x2d489795,
+    0x6cd0cbd9, 0x433cba46, 0x45287361, 0xd7ade147, 0x035ac47f, 0xf71782bd, 0x944c64e8, 0x59911c7c,
+    0xb2438444, 0xd5ec0d1a, 0x368e6a23, 0x015e98c1, 0x27c5c094, 0x50992a46, 0x18add660, 0xecebb86c,
+    0xc0b8947d, 0xb064b0f8, 0x3dbe1aa7, 0x8efd83af, 0x1b0635c1, 0xb1115c85, 0x327bf394, 0x4c364b34,
+    0xfbe4981a, 0x9945a1bd, 0xb210ff0e, 0xbc2db244, 0x42b7f622, 0x28242b13, 0xc3947ff1, 0xb226903d,
+    0xe6b95a53, 0x2499906f, 0xbccef68d, 0x21015099, 0x1bcd5438, 0x28e58690, 0x5816da71, 0xdc7b89ee,
+    0x3a9ee7f9, 0x9164da5e, 0xf5121b11, 0x352df3ac, 0xc2b57f18, 0x7e067dae, 0xbd452948, 0xd6606850,
+    0x068e07b4, 0x417684c1, 0xcc82f235, 0xc775b9dc, 0x8e1debfa, 0x128f8ee9, 0x4d3bb608, 0xb32282d2,
+    0x39e54cda, 0xe40738bf, 0xaf7c0fdd, 0x85799e62, 0x65d3afc0, 0xf4fff71b, 0xc650abd7, 0xe97c396a,
+    0x2332d096, 0xc542dbfb, 0x50e3b495, 0x4163e6c1, 0x27f53c4f, 0x78500c85, 0x84d6baef, 0x6db48937,
+    0xa48a2db5, 0x4d13d2d2, 0x9dd542a5, 0xa5ed7079, 0x23c0f12c, 0x25c9ec91, 0x54370b57, 0xc90121d8,
+    0x0186da36, 0x4d4af94c, 0x9ea579ac, 0xe117e686, 0xca555225, 0x440e6633, 0x5587078b, 0xd2b4c067,
+    0x65c009ea, 0xbba0ba33, 0x768a1747, 0x19ab6594, 0x59498255, 0x022ac6e9, 0x649e2067, 0x1f167750,
+    0xd9dc5c24, 0x054506c1, 0xcebdbc4b, 0xef19267d, 0xccbbf957, 0xed262731, 0xa8bd96fb, 0x0b0c99b4,
+    0x7e967018, 0x9f4a17e2, 0xfc1e57c2, 0xde684ae5, 0x194f43d0, 0x1b08d937, 0x2808a31c, 0xde56129c,
+    0x2df2e297, 0x0483cdc2, 0xb9521f64, 0xd6c26fca, 0x11f8731c, 0xc24d179b, 0x05ef58e8, 0xaaafb6a0,
+    0x1c06ccdb, 0x19394107, 0x0abb50cf, 0x2943da80, 0x56ff599f, 0xa368d9c8, 0x9f7bc7fa, 0x12668fa1,
+    0x1db14def, 0x75ad2369, 0x444c9a72, 0xd7f372d3, 0x1387ffbc, 0x47f54533, 0xacecb2cd, 0x758e9feb,
+    0x90e4053f, 0x922a444e, 0x821fcf33, 0xdc253e0d, 0x3790c2d5, 0x302383fa, 0xa2ec04e3, 0xac092e7e,
+    0x2420c08d, 0xa186f307, 0xd8abc955, 0x0ff79fb0, 0x48f6b76a, 0x97e11d43, 0xf65e3dd9, 0x824590ac,
+    0x253a307b, 0x917f7438, 0xb8753e58, 0xd4a7e909, 0x86f70ad8, 0x9e1092ae, 0x43ab1c69, 0xb7c01e4d,
+    0x281cb8be, 0xd5b7a96f, 0x3ada7c31, 0xeb49b1e9, 0xcf85ca69, 0xa0829e09, 0xe5d61343, 0x1274c49d,
+    0x07bc0b36, 0x23b37eb9, 0xb6552d78, 0xaac36a11, 0xf9840d67, 0x477084f2, 0xf73ab750, 0x008d6597,
+    0x4b0ade87, 0x19526325, 0x7ac6a2c6, 0x07641651, 0xaeec1469, 0x4b6ac9c3, 0x2b01072e, 0xf5836cbd,
+    0x9a9c1632, 0x63d2896b, 0x0f32992f, 0xc4f18655, 0xd252754c, 0x285b1afa, 0x32dc01a5, 0xbefb4e78,
+    0x74027076, 0x31cf8977, 0x2c8e29cd, 0xb1d9fc61, 0x05aefb7e, 0xc7aafc52, 0x49eaadcc, 0x365db918,
+    0xe2b0cf79, 0xf5d392a8, 0x62939c4f, 0x701cff11, 0x274c5898, 0x46ab07b1, 0xab3777a5, 0x57e2f7b2,
+    0xc4829c8d, 0xccb38e14, 0x0ba27e99, 0x77db3801, 0x81c763b5, 0xbfd251e8, 0x00c9a2a7, 0x991919c5,
+    0x46371c01, 0x6aee8c31, 0xd49028ec, 0xea420d3f, 0xf26e5e50, 0xf910921c, 0x679bf63e, 0x25596f46,
+    0x0ce0aed3, 0x9fb9abe9, 0xe02b7b3d, 0x3829fe68, 0x3653acaa, 0x688e4cd0, 0xdbc73afc, 0xd16711ac,
+    0x862c5adb, 0x3d2b4ec6, 0x40c232a7, 0xe437b610, 0xafd5a2d8, 0xc961a961, 0x50169a4d, 0x1c3db02d,
+    0xd8c95ac3, 0x8ce9513f, 0xf3606d39, 0xce4e885c, 0x9548ef4c, 0x9aef44c7, 0x5e54e237, 0x83adab15,
+    0x0ff1e610, 0x4e07efa0, 0xa1bbbca1, 0x7962cde6, 0x416b9050, 0x7df5d03e, 0x13e31578, 0xa7067bd1,
+    0x429ff9a9, 0xe70cc389, 0xa00b9f36, 0x32d3987e, 0xb8c0c411, 0x4c5aa01a, 0xccc85f76, 0x1f1af041,
+    0x109cafa1, 0x42a6def1, 0xeeb4b018, 0xe4cb1572, 0xac1f08b3, 0x2d10c6a4, 0x1cafc355, 0x06082927,
+    0x16dff3eb, 0xa55a36cd, 0x5a4aec06, 0xcda6b777, 0xa756784c, 0xd8072adb, 0xc8b61d48, 0xf3c88c3b,
+    0xd3b40450, 0x9db3670d, 0xcf832165, 0x464c9139, 0xab189ae3, 0xed60064e, 0xf0127642, 0x81be3d99,
+    0x690bf5ea, 0xb3a0e4f2, 0x27c2c4c9, 0xa432d0c5, 0x4e712a41, 0x9116c123, 0x043cf5d5, 0xe395712e,
+    0x80df8e82, 0xc65eaf54, 0x6e3ed79d, 0x70488a23, 0x0d7439f1, 0xb3519007, 0x06d7306c, 0x86e84b0e,
+    0x935fe522, 0x4d4f2c88, 0xfd1e6266, 0x05b687d5, 0x6d42faf9, 0x5abdc5c2, 0x798d0e15, 0x5438ccc0,
+    0xe6166aaa, 0xbea1313a, 0xc5253337, 0x394c5e08, 0xadb4548b, 0x7f7cad6f, 0xd084aac5, 0x31789044,
+    0x12af02a1, 0xe64e1b9a, 0x009b993f, 0x50fcc0e5, 0x01030cb9, 0xa178da97, 0x5505f293, 0x5a90f64d,
+    0xa6b7e48b, 0x323e2625, 0x56ff0c39, 0x1b99b669, 0x86cc97ff, 0x0214087b, 0x44b03537, 0x82aedc6c,
+    0x576031cd, 0x1fdd8bf4, 0x98541265, 0xde1b6ccb, 0x6c5b0ecc, 0x13be92e2, 0x83002e87, 0xdd926c23,
+    0xdcc4b253, 0x088849e1, 0xbc87d6eb, 0x409f0cd9, 0x5ef523d0, 0xd5e4a211, 0x7e36a4d0, 0xd4cd0ba9,
+    0xa124ef83, 0x78df7515, 0xdceca314, 0x81d99abd, 0x9b05bdc8, 0x11593abe, 0x0a3df3d6, 0x8c896136,
+    0xeef01e3b, 0xea8f4ec9, 0x2cc25e85, 0xa2ab7495, 0xd33b34b8, 0xb4cf9eea, 0x653cf7b3, 0x161c49a7,
+    0xd31aed78, 0x2ca8fcf9, 0x339457fd, 0x26b1b9b3, 0x9a5ec1bc, 0x86011b5e, 0x32b1cdcc, 0xffcdd60b,
+    0x0225b223, 0x24453e74, 0x13ebf6bb, 0x17713e00, 0x40c2794e, 0x37a2bd47, 0x5b57f324, 0x6e48e155,
+    0x0ca1fcad, 0xb079bf2b, 0x3af1eb20, 0x85aac30a, 0x50e98780, 0xbeb5f475, 0xac51bb5e, 0xcf2bd36a,
+    0x00000000,
+    0x1f125f54, 0x4eea8f9d, 0x833287ef, 0x4173c2ce, 0x48db5640, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6,
+    0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000011467493079950357558054104476\
+                         51043470398282494584140561868794419693461438044242404035009276555062843277312 */
+  { 0x00000000,
+    0x314c8f5c, 0x09cc4f00, 0xd5e2e9f9, 0x38ecfbe8, 0x0c4ce637, 0xa25dc207, 0xfbdc1729, 0x313293b4,
+    0xb7d9716e, 0x77211da3, 0x4484a1ef, 0x934c0ae9, 0x9641d825, 0x5c0715ce, 0xbd2c673e, 0x50e51fa1,
+    0xdd4977ff, 0xfc08444d, 0x21189a0a, 0x1a6e53e1, 0xcd8cfd97, 0x5817c492, 0xd3291bb9, 0xa845bc5d,
+    0xf79dd153, 0xa0f0b01b, 0x72dd4619, 0x143626cb, 0xbf469d53, 0x3c3590d7, 0xa0e4affa, 0x99782eec,
+    0x7e4cefbf, 0x09acfcb8, 0xa67dc756, 0xe5413dfc, 0x49396c54, 0xda49b5a8, 0x785facae, 0x956d0bcc,
+    0x79397929, 0x2fa93bf4, 0x07603451, 0x76bbc71b, 0xd8f10055, 0x02ae0b80, 0xd4cee43d, 0xb4d1b362,
+    0x80db9d7e, 0xe03e0143, 0x0f7f6300, 0x3f06b5ac, 0x72b6826d, 0x0ef0c736, 0x0eef2aeb, 0xbe6126c3,
+    0xad87cd79, 0x3434340a, 0xa58bda51, 0x2501e393, 0x20684746, 0x65cd7029, 0x4b544e86, 0x417e64d2,
+    0x9d701a76, 0x970204db, 0x985d8711, 0xd9307da8, 0x24f2ce29, 0xe9a0807b, 0x71f01784, 0xab60e19f,
+    0xbb4ac83b, 0x83c32d71, 0x0906a2f4, 0x6771a71f, 0xb6428fa9, 0x1ce5f6e7, 0xfc359c18, 0xc76509da,
+    0x49df6156, 0xa17748fd, 0x0508f2a5, 0x0552a7c2, 0x17a1c497, 0x909a0da8, 0x7cd0a6df, 0xb121da63,
+    0x114f72e5, 0xb2c774e0, 0x13da50d2, 0x40833233, 0xbe510744, 0xdb66c158, 0xdcdb3aa9, 0x67ab758e,
+    0xed7610b8, 0x6d53b2e2, 0xec34f00f, 0x10a0ed5f, 0xaad90fa4, 0x3bde7ac9, 0x2eab8121, 0x2367c7d4,
+    0x1106e6ee, 0x14942e8d, 0x8fac7fd7, 0x468b1f3e, 0x89a02bc6, 0x66e01b50, 0x25f92364, 0x20cf32c0,
+    0xef34accd, 0x5e2d9e68, 0x5fcaa88b, 0xce6a5a07, 0xd374b09a, 0x7c5b6326, 0xafdb7e57, 0x069565ed,
+    0xca236e5f, 0x062d7d2b, 0x96d70c08, 0x43a954b1, 0xdf5919a7, 0xb508282c, 0xb960bf66, 0xb988718f,
+    0x9ebbabaf, 0xad6ede0f, 0x3460b07a, 0xe13aa4a3, 0x29fbebeb, 0xf4e97d1b, 0xa48a0c63, 0x3b23a1df,
+    0x5adb6b67, 0x02ab7cfe, 0xffa04a2e, 0xf8affe91, 0x41a6f8f6, 0xc3d2cdcb, 0x9c1226a7, 0xa51a78e4,
+    0x215ba032, 0xbee01e49, 0x27b5f0e7, 0xb7a95e62, 0x1e4986cc, 0x0263e8a1, 0xf1a68957, 0x60385afb,
+    0x16efb5e9, 0xc559c8b2, 0xc2c90512, 0x79fa0e87, 0x203a48d4, 0x2f910a57, 0x47bcbb07, 0x063980b3,
+    0xfaab6322, 0x69734aa7, 0x4fc2990e, 0xbcf4c773, 0x351c66f8, 0xc5c128b9, 0xde7a2859, 0x0e3aec42,
+    0x01710629, 0x08afb315, 0xb91a6c41, 0xb8c4bfcc, 0x90a2ca24, 0x12ff303d, 0xd584f58f, 0x44f4b332,
+    0xcc29ad0c, 0xf4ef4642, 0xe654e4bc, 0xe5cc0d77, 0x327fc4dd, 0x79270d1f, 0xc730514f, 0x59cc48cc,
+    0x3d3e0dec, 0x17661bdd, 0xb4f03041, 0xcee4d537, 0x11b00695, 0xfc10436e, 0xae313649, 0x32ae9f54,
+    0xca367094, 0xe5f38590, 0xa0646570, 0xa9aa7229, 0x00941008, 0x63d66a65, 0xb1065efd, 0xfc1bc484,
+    0xbdc44f7d, 0xef3cd8ff, 0x040f0bcc, 0x791cde1c, 0xf0a5c9be, 0x79684202, 0x7d4f172f, 0xa75ac1af,
+    0x256b4908, 0xcb5378eb, 0x2bffd7b4, 0x39d9ddb5, 0x6c58f1c2, 0xa226c82b, 0x48465f01, 0xd6737b81,
+    0x9c441637, 0xa2cf4495, 0x5b492e9d, 0xd8ee322f, 0x14c0d242, 0x28690b05, 0x6047dbb9, 0xb08e81f0,
+    0xb4d2435a, 0x8f5716fb, 0xfa603a46, 0xeae52f77, 0xe2e7af29, 0xc4e50278, 0xc5133cb0, 0xa7242ac1,
+    0xc4a13243, 0xc241025d, 0xe667e890, 0x2a024a4f, 0x9b2ef0d7, 0xbb41fb3c, 0xec23208f, 0xe6f72c63,
+    0x707a66b6, 0x979efba1, 0x347b658f, 0x9f1e8c50, 0x2c39017b, 0x9d5974f5, 0x120b53fa, 0x2ac42e00,
+    0x568d8bd1, 0x7ff4f8a4, 0xae6645d7, 0xd57458f8, 0x7acd4a24, 0xbe6add03, 0x730103b9, 0xb344b431,
+    0xeae98740, 0x78a6988d, 0x82e6e92f, 0xf2fc9f59, 0x82a32f02, 0xbfbe79e8, 0xfb0c68ec, 0xd94f8a37,
+    0xaf8f3078, 0xdaf593dc, 0xc23ff54d, 0x845912ca, 0xc0e59198, 0x2f9986ce, 0xeb16f025, 0x963737f6,
+    0x42c8dfca, 0x3cf654a5, 0x4f25c9d1, 0x3f02ab0c, 0xe9f2d616, 0xef07aa08, 0x6a60ca7d, 0x742933d4,
+    0x93b79da7, 0xd5412f05, 0x9ef6adae, 0x3372bcf8, 0x068fa95b, 0xadf145c0, 0xda2c270b, 0x6fb933dd,
+    0x1563fb8c, 0xfb9bd06b, 0xc4ca8cf4, 0xe498ae3c, 0xd9d9bd0f, 0x1ef862d1, 0xb22dbd40, 0x4f2f3588,
+    0xa8c98b9b, 0x33f5add5, 0x14822eea, 0x9c15094a, 0x93f2f816, 0x0f306679, 0x2c563558, 0x63c9cf63,
+    0x73608e95, 0x8f8e600e, 0xa3e719db, 0x2a8d5384, 0xdc67f5b6, 0x6c4f9572, 0x937e7d74, 0x36e72411,
+    0x4003d4ff, 0xf264228a, 0x2096ae0d, 0x738f4aa8, 0x87524bf3, 0x830c2b07, 0x03693567, 0x422693f4,
+    0xf2600749, 0xc4b6ec86, 0x402c362a, 0x3ca5c943, 0xf410a353, 0x09ff3eeb, 0x0e2ec225, 0xd7c95261,
+    0x071a2440, 0x64c24213, 0x07032ea3, 0x36e73c19, 0x232345a1, 0xc9e5b47e, 0xde8c680c, 0xc9baa466,
+    0x2cc9ed31, 0x43610b7f, 0x1d173373, 0x466f4d34, 0xbed7ecd7, 0x993d70fe, 0xb0400ec9, 0x8823bf75,
+    0x2273d494, 0x7c6424ec, 0x140a2535, 0x73265016, 0xbaa8d73b, 0xc97e96c2, 0x992f4537, 0x557e3009,
+    0x656321e6, 0x73b70aa9, 0xe3ae34e2, 0x8c84d6e8, 0xb567cb13, 0xdfb0dda1, 0x649c53f8, 0xe2252dfa,
+    0x9d1bffa4, 0x760a6542, 0x00c90716, 0xb318fb83, 0xa14002cd, 0xc93ceaca, 0xfabbefd8, 0x7f5e2592,
+    0x71ecda21, 0x4d62129c, 0xc94187d0, 0xb1d4b3d4, 0x3da3c81b, 0xe8310b08, 0x9ed5b898, 0x1a5e0d76,
+    0x983e6b79, 0x1aef47f6, 0x2473b53e, 0xc30838c7, 0x6d3dcaf4, 0x76ca4029, 0x0dcc0adb, 0xba5ac7d6,
+    0xd5b18af3, 0xd01aadc7, 0x059771ad, 0xefeda75b, 0x96e733cc, 0xeead5a4a, 0xf4a90c21, 0x38d7a453,
+    0xae86c38a, 0x8d179ece, 0x4e36a94c, 0x49e45de6, 0x63aaa507, 0x7ee61755, 0xdcfe3786, 0x9ce01ab9,
+    0x85d6ad25, 0x2e212caf, 0xbd29522d, 0x3550086c, 0x08879170, 0xa87e3294, 0x507b2ec2, 0xb900778b,
+    0xfee8f53f, 0x73fbcf84, 0xfe2fb3ab, 0x2c435813, 0xc1a2812f, 0x02630aeb, 0xa830e3a2, 0x58f2dd81,
+    0x9f569d4e, 0x4f8f78a1, 0x64ddaa87, 0x4acd72ca, 0x50402c20, 0x0eeb2d6f, 0x53c9d6e0, 0xd8a509d7,
+    0x5ca6689c, 0xbb8c2b05, 0x2b027204, 0xd81ab7d8, 0xe1a3c8f0, 0xe4e590ed, 0xf6d525d1, 0x5ebebfa3,
+    0xe3fc20d6, 0x52e54db9, 0x073a81c1, 0x63c1906c, 0x5defad32, 0x0ac72d4b, 0x0b16cb67, 0xba4a32b3,
+    0x90fb3491, 0xbdab6b6b, 0x134566b7, 0xb5e2e25b, 0x6a210ea4, 0x79046817, 0xa120b7bc, 0x4ae46108,
+    0xb5a07e43, 0x233e5609, 0x3190a279, 0xa68d54ff, 0xc78cd5cd, 0xe0c8f3da, 0x53296c94, 0x33a26877,
+    0x4ff6f4c6, 0xab242fbd, 0x094afc1f, 0x81117826, 0x0cdff4eb, 0xcc58268e, 0xac623497, 0xa92ec99e,
+    0x205501e9, 0x4be0c348, 0x92da86ac, 0x19ca4dec, 0x068a0148, 0xf09bf83d, 0x7fee62d3, 0xd2b0b9db,
+    0x6bcbfea2, 0x3727b93e, 0x2aa1c17a, 0x96a3f850, 0xaf370b99, 0xc5072439, 0xb689ba84, 0xfadb44b4,
+    0x676f116e, 0x246d44d7, 0x8da7f5d2, 0x25eed6e3, 0xee9cfd49, 0xc3867659, 0xc591ecf3, 0x3a2007d9,
+    0xa6c84235, 0x4173031b, 0x009b5733, 0x0efd2442, 0x2fac0fcb, 0x4cda715e, 0x71f491b9, 0xa0f307be,
+    0x9b18c6d4, 0x8093e252, 0x4d637f83, 0x5f8ee5b2, 0xd1cc78d4, 0x5550fa35, 0x1f487f56, 0x75abd3d6,
+    0xd82a0e0e, 0xe8411325, 0xb07175e3, 0x19d913cf, 0x9f9eda98, 0x6e4de069, 0x5f6a1a9f, 0x5b930d84,
+    0x68e2ab0b, 0xf633c877, 0x2560f2d9, 0xf9b15851, 0x88edda18, 0x9bb82674, 0x29d71478, 0xddba858c,
+    0x75bfda56, 0xe1dc1a55, 0x478afec4, 0x9f55faa0, 0x8f09ce3c, 0x478db9da, 0x435b7774, 0x0523f2ed,
+    0x5910962d, 0x24fd97a5, 0x02d8afbb, 0xf832fb34, 0x49c45bef, 0xf6d5f879, 0x98550542, 0x904a93b6,
+    0xc1f34066, 0xb2d75ffc, 0x5a63335e, 0xc55a4990, 0xa4aa05ad, 0xc9619901, 0x8b46f65d, 0x4b3dc8d0,
+    0xe8317f33, 0x20d9c8be, 0x75365784, 0xfa022428, 0xe6861b79, 0x710f13c5, 0xc0b32fe7, 0xb13fc7f4,
+    0xcbca5e87, 0xf60ce900, 0x8593f1d8, 0x1b5445e2, 0x2aa20d5e, 0xac070d11, 0xdcecdbd7, 0x3f0316ae,
+    0x5b0f9943, 0xde70e430, 0x895477dc, 0x30fc74b9, 0xcddbec0d, 0x20fb48e4, 0x75c26907, 0x2195a74e,
+    0x5ac0f903, 0x4dc0f71e, 0xdfe778e1, 0x243f3451, 0x95e10e76, 0x3e09bff7, 0xcaa44224, 0x7e476c8e,
+    0x3fb93fec, 0x4cea5c4a, 0xc6a64800, 0x9bf234fc, 0x2c022b1c, 0xc2d248d6, 0x04761972, 0x11c5d055,
+    0x6a1fc137, 0x5d8c87e8, 0xad337ad0, 0xb3e2c5d6, 0xf16f259d, 0x18479c12, 0x603fecdc, 0x91f48cd1,
+    0xdbe8e9e8, 0x54c1b8fa, 0x530c3384, 0xa05179c3, 0xcc327595, 0x2c423fbf, 0x65378101, 0xe68c238c,
+    0x1a215ba8, 0xe6386e12, 0xa75c84d9, 0x6c6c5e3b, 0xa751687c, 0xb78dedcc, 0x0fe79260, 0xd5fa269c,
+    0xa775c681, 0xe14e3559, 0x4f615b89, 0x51eaec63, 0xcf421eb3, 0x6adbb638, 0x4236b69f, 0x04493899,
+    0x11f7e829, 0xe1a22008, 0xce14c66a, 0xaf3f9d2c, 0xdfee36ee, 0x23819ceb, 0x1795af0f, 0xc5a8b9c4,
+    0xddc16377, 0x4d02382b, 0x770b541c, 0x1d84bf26, 0xbfca0623, 0x4d7e2e25, 0x6ccff087, 0x6ef52050,
+    0x1d6b9b9d, 0xc47de0db, 0x7dc88bde, 0xfd3e2f0f, 0xc6ef155c, 0xe742fa6f, 0x198acdaf, 0x2090b802,
+    0xa43367f4, 0x982440f7, 0xc3ef0d8d, 0xce4b76f4, 0xc3896ceb, 0x21213d3e, 0x69c91aa4, 0x835997ef,
+    0x86931ce5, 0x89912016, 0xe3f3fd55, 0x92f5d8ad, 0x9bd11c7a, 0x46f96eba, 0xe790ce6e, 0x55cc9618,
+    0xe725bc00, 0xbff62d53, 0x4435912a, 0xebbeb937, 0x99ccfb24, 0x14baa823, 0x477494bd, 0x0619e88b,
+    0x55bb8ef4, 0x28ecc0fc, 0xcf9d4db5, 0x383c9ffd, 0x4235c852, 0xbdb49a32, 0x99e368e6, 0xcf6915a8,
+    0x9d533473, 0x09363b36, 0xa71b4e9f, 0x104158e3, 0xbf000a01, 0xc29dd6d9, 0xe826718d, 0xb2537fe3,
+    0xf9742fab, 0x6429cde3, 0x8f20e596, 0x771d6434, 0x41842e11, 0x4d656334, 0x2e062aaa, 0xfc6f86b3,
+    0xb8627b41, 0x0455908a, 0x382da791, 0x19960fcc, 0xf263a396, 0x5dc87477, 0x95e010a8, 0xc62abf42,
+    0x170e241d, 0x34e99bdf, 0xb05bce8d, 0xc0aa7f27, 0xa751b524, 0xafa61927, 0x8b026319, 0x25db0215,
+    0xf7b4391d, 0xdbbd1e07, 0xbde8097f, 0xbbd4ea70, 0xd3ddf242, 0x84836df4, 0xe0a91672, 0x5cba07f3,
+    0xac207a4a, 0xebfceaf9, 0x051e175f, 0x200f3d37, 0xab40742c, 0x776f0f24, 0x06617de3, 0x2eabb0da,
+    0x87b11c84, 0xec0ae22c, 0x8774058a, 0xcb3845fa, 0xa90c8a2e, 0x536996e2, 0x610d38da, 0x5a0051cb,
+    0x0f5e8adf, 0x84ab754a, 0x1fdb571a, 0x08c8f97f, 0x613e605f, 0x3ee284d7, 0x04d9a406, 0xcbf81cab,
+    0xf15eb362, 0x13751385, 0x6606d95e, 0x7be86321, 0x08dcc03a, 0x6babb8a5, 0x44d37dac, 0xd364b886,
+    0x9ac12d88, 0x119a0a99, 0x1f2c2556, 0xe0975ac1, 0x81a926ab, 0x48b986f3, 0xcbe39056, 0x20612093,
+    0x30ba21ac, 0x6846e1f8, 0xe44fac15, 0xbbbdcc3c, 0x0b263fa6, 0x580fe20b, 0x23d8bb9d, 0xc8e76683,
+    0x3f00e122, 0x3804dda1, 0x1b72e87e, 0x2dba17c9, 0xc6342cd4, 0x51751233, 0xf8fcf9f1, 0x02d8c350,
+    0x81d1eddd, 0x9fee8902, 0xb438ea10, 0x07ba8b01, 0xd7ae843b, 0x33a68a79, 0x31d4ed70, 0x2a9975bf,
+    0x66746c52, 0x0ede303c, 0x9c764df0, 0xb37d7149, 0xf5a50f38, 0x460167b2, 0x32e09c65, 0x432b49ee,
+    0x83a39efc, 0x86afd737, 0xbbf4fb54, 0x90513c2a, 0xb20d1b82, 0x1818c21a, 0xff44b5ea, 0x2c4d0418,
+    0xba81848d, 0x968876ad, 0x61cd7e32, 0x433088e0, 0x231c24aa, 0xddbc9253, 0x173b3534, 0x71dfa26b,
+    0x778a4b52, 0xeffc3c06, 0x1bd2132d, 0xc33d9078, 0x1190798f, 0xbbc2982e, 0x9ba98bd7, 0x9991b16f,
+    0x718468df, 0x093b7563, 0xf738e494, 0xb1528903, 0x0f2b779b, 0x0a023a54, 0xf8a49907, 0x2e2ab8cb,
+    0x80705739, 0x87a81cab, 0x5b10646c, 0xeb700d52, 0x1a76313f, 0x7b25e043, 0x58ad167c, 0xefda6bfb,
+    0x36d2446d, 0x55aef8fa, 0x1a85985f, 0x90c2aefd, 0xccae4f39, 0x0cf28bfb, 0xfff953e5, 0x585cfc74,
+    0x043f573d, 0x70f6cbf1, 0x3b0c86c3, 0xe1a1e5a4, 0x63c9bb93, 0x0a800793, 0x5a451ffe, 0x9c72bed9,
+    0x5e2c447c, 0x96d63039, 0xae5c1ffa, 0x760c113f, 0x82af46d7, 0xf82f4b4e, 0x71f81041, 0xac12fe35,
+    0x4f2dfc72, 0xc76fa516, 0xe18d97a6, 0x40d81d5d, 0x30d06a92, 0x27adc4f9, 0x8ad5d0f5, 0xa0fcbfdf,
+    0x7efa2723, 0xaa9f6e0b, 0x19e57bd6, 0x4ff6157f, 0xf2ff57a8, 0xe4d15111, 0xb5f468b3, 0x89e98d65,
+    0x039070ca, 0x5ad1f6a8, 0xd6b8d316, 0x3c45106b, 0x8ac49cc4, 0x7964c069, 0x6c09a8c3, 0x62193172,
+    0x299119a6, 0xe8cefee2, 0xbcb16631, 0x7943b1f6, 0x665aa4a8, 0x5ea9ae7e, 0x12f35497, 0x179925cb,
+    0xfce18fbc, 0x600f3020, 0x3ab8dd17, 0xab78c019, 0x049793c7, 0x57efafde, 0xce3f11dd, 0x62cf35ef,
+    0x258dae3e, 0x97158a9a, 0x686ae013, 0xdc541363, 0xf960dd20, 0x66453f28, 0x7a2ede6c, 0xf3376eb1,
+    0x695ba184, 0x31b7c6c9, 0x892ce367, 0x879c786a, 0x48acfe69, 0x3c69b8e4, 0xb77ea892, 0x9f4190cc,
+    0x2d807d2e, 0x5c3fc62d, 0x2ad7f46a, 0xe9e0c632, 0x57b8451f, 0x1e20a1ce, 0xab07e3b0, 0x1d6f8f90,
+    0x22d6d2c4, 0xfa36b8be, 0xbf38d9d5, 0x986058d5, 0xcddb1617, 0x7306b31a, 0xe7c99078, 0x04922939,
+    0xe64e9805, 0x5b4f04ff, 0x5b14e20d, 0xdadf36c1, 0x8a2c0a5d, 0x94b10c13, 0xe5fe75f2, 0xd3b2b926,
+    0x34caac70, 0x800db9a2, 0x70b81cd8, 0x0bf6e666, 0xf306691f, 0x6e78ac5c, 0x861aa599, 0xdac7a0cd,
+    0xfac38348, 0x37eb5504, 0x4321c4d2, 0x71692f6d, 0xb9f6da9f, 0x0dc75478, 0x2ab833af, 0x98ccf340,
+    0x701d8b50, 0x800aa633, 0xd7858006, 0xacd67070, 0x73fcfde9, 0x8384e1c0, 0x4b9a1ee9, 0x0a09ba50,
+    0x2b3ee8c8, 0xb3423ece, 0x77c01590, 0x792cb172, 0xe731539e, 0xae723e4b, 0x16a96bcd, 0x4e230574,
+    0xa6a5788b, 0x05d66aaa, 0x33cd4161, 0xde7a0221, 0x37449530, 0xd486561d, 0x8d2de3ed, 0x2f89988e,
+    0x348f0a41, 0x6437286e, 0x99eb8914, 0x11d773c9, 0xc1df8376, 0x1b0f4644, 0x72bca1d5, 0x3d6ec2dc,
+    0xfb50de47, 0xc59a32e2, 0x1df48add, 0xbeedcdf8, 0x4232be54, 0x06abb405, 0x7f783916, 0xa855b3a7,
+    0x1321b2f7, 0x72373420, 0x149c3eed, 0x69e239b5, 0x58b13239, 0xc8b3f764, 0x4e3ee71e, 0x84fd25e6,
+    0x33f1502d, 0x41e0789b, 0xf652d2ac, 0xc9d40d16, 0x29ac9273, 0x25350fdc, 0x98edc4d9, 0x994cd49a,
+    0x7e7cf970, 0x0252b3b2, 0xb08749a8, 0xd8917e88, 0xd5724753, 0xa96751a5, 0xcf655933, 0xe64b8aa4,
+    0x00000000,
+    0x8f892fa9, 0xa77547ce, 0x419943f7, 0x20b9e167, 0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3,
+    0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000005733746539975178779027052238\
+                         25521735199141247292070280934397209846730719022121202017504638277531421638656 */
+  { 0x00000000,
+    0x7e129a60, 0x64ff42f7, 0x10cc0e8b, 0xdecce243, 0x2693867e, 0xf8d3fefd, 0xdd83c20b, 0x8774cc19,
+    0x83ec60a5, 0x16a4cb1a, 0xe233030e, 0xcde31d54, 0xc642d8f7, 0x9543b122, 0xa5e970be, 0x07959a82,
+    0x16af6d46, 0x10a95572, 0xb4a3de55, 0x02e2c3b4, 0x9150eecc, 0xda3dbc47, 0x6d68caac, 0x72029f63,
+    0xff48d285, 0xf1f1b825, 0x43b37368, 0xb60508bf, 0xcf802f2d, 0xb92987ae, 0x929813e0, 0xb6d0fc51,
+    0xa7e6f57f, 0x270bcbc2, 0x4739c070, 0xc7431bb3, 0xb4a67f00, 0x26f94447, 0xb3528dd7, 0x3bddbc4f,
+    0x65f0f37b, 0x65c8dade, 0x91a5fe8f, 0xcd3cac44, 0xebc250e4, 0xfb5c51ec, 0x70783ac6, 0x7d9a821b,
+    0x064c0022, 0xc3c40fe3, 0x55a16309, 0x3723259f, 0x415b95e2, 0xf0623a67, 0xef9c5161, 0x1fa3a8af,
+    0x3b0de316, 0x480d674e, 0x617dbd49, 0x795bca76, 0x3b46cc34, 0x64109682, 0x4d8c155f, 0x7f2167a6,
+    0xd89e3857, 0x142b9ed5, 0x80ff0004, 0x09083221, 0x9df9bccc, 0x64644b58, 0x9f71269b, 0x64a532a4,
+    0x4776ed87, 0xe1325c59, 0x12cce6d6, 0x0e5bf598, 0xbc4e3a43, 0xb90ff5cb, 0x95c59303, 0x95d52888,
+    0x3d38f56c, 0x2bd71063, 0x83ceed07, 0xfb5ae04e, 0x1305ff32, 0xd5ed42cc, 0x0f6c7aa5, 0x0ec7f3e7,
+    0x24ef4e45, 0x3ddcae76, 0xe5f074dc, 0xce3487c9, 0xa7a5231d, 0xb3f3c9ee, 0x6f278598, 0xb5be8f84,
+    0x416d8ea5, 0x85b3cbf9, 0xf440319c, 0x3268cdd7, 0x91775781, 0x05c8038b, 0xba1b44fe, 0x47b94021,
+    0x73170de4, 0x9dd91eea, 0x7cea5393, 0x51cd4c94, 0xa7ff9d21, 0x958adfe7, 0x2d59e3e6, 0x6d79147b,
+    0xfcf8fbe5, 0x220e988d, 0xb88c012b, 0xb6d7c660, 0x94c43b02, 0x83e60a04, 0x15aa857a, 0x94b39c21,
+    0xa29665ab, 0x0ff9c140, 0xf30e28df, 0xe248def7, 0xe05e1e8f, 0xd98a8685, 0xe2789705, 0xfe1c0bc4,
+    0x4ee67283, 0x5257df5e, 0x7f8a7d60, 0xc3e0f0e9, 0xfac5f934, 0xf7f907b6, 0x226b4a59, 0x8c1f6d37,
+    0x691ab3f3, 0x46bc2bc9, 0x0b586ddb, 0xfa08546c, 0x63ec0116, 0x278b6df0, 0xfec04bcd, 0x7a59cee4,
+    0x455a17e2, 0xc9a9d7ad, 0x5e5109a9, 0x7ba1db2f, 0xf7b09dda, 0xa9dcb0fb, 0xb0611bef, 0x1f833aa7,
+    0x2ef8c814, 0x5462cfea, 0x16ef9784, 0x9b3f652e, 0x9d1acfaf, 0xe3325e4f, 0xd1471c16, 0x87e695f5,
+    0x73398b61, 0xd29eb48d, 0xa607fe1c, 0x42b29707, 0x2971a437, 0xac7d89b9, 0xe32afae8, 0x6e84f2b8,
+    0xc5b084f5, 0xdc39b90a, 0x98979d68, 0xcbbe8850, 0x2e8546fa, 0x09a51510, 0xf1744fef, 0x14b8dcbd,
+    0x26f1007f, 0x35f67701, 0x74df9a1a, 0x469703a2, 0xddeaf3b3, 0x3f306fb3, 0xa526addd, 0xb6074694,
+    0xcba3d726, 0xbdfc5c3b, 0xb6d2dc3f, 0x0a83d599, 0xc5add91d, 0x3c801cc2, 0x2e4edd9b, 0x641d1a35,
+    0xb39e1e35, 0x6b59a06c, 0x16fe5047, 0x9828acb6, 0x435bbfbb, 0xdb45a7a0, 0x09ffc02a, 0xc0ae7ba2,
+    0xc00a070c, 0xd8c03871, 0x71ae8427, 0x56548905, 0x375136eb, 0xe4fa20c6, 0x316fc5f3, 0xa25eea01,
+    0x79e7891b, 0x21955775, 0x36945d67, 0xdb4eb48f, 0x9d674fbf, 0xe5fcc5ad, 0x01ed147e, 0x7296c4a8,
+    0x45ac5122, 0x41d4ab89, 0xd866e1a0, 0x51b2b1c2, 0x61493453, 0xda3363fe, 0x69021b94, 0x40f2e757,
+    0x5f6eca33, 0x20693383, 0xad370961, 0x3358e77b, 0x0eee17a6, 0xa97d7ff9, 0xcf8d21ed, 0x9ff597e7,
+    0x6b94c689, 0xdfc2cef9, 0x0049b9d9, 0xe91f80f9, 0xbcf5277c, 0xa246a359, 0x3c53972c, 0x4f4cdd24,
+    0xfdedd61a, 0xb05a9369, 0x529b0fe2, 0x5f2132f9, 0xeccedaf9, 0x19cccd21, 0x3e13d080, 0x3cb9d19c,
+    0xdd02e455, 0x47a59d04, 0x1331a875, 0xf88e34d2, 0x20d17515, 0x8dc52dab, 0x47892e43, 0x6b3e6e8d,
+    0xafb9ce80, 0x87c33927, 0xfe46a8ef, 0xab3c2fdf, 0x18e222f0, 0x505d32ab, 0xe1771661, 0xccdb1156,
+    0xef8d2d27, 0xf12f692d, 0xf7f0e09e, 0xcff9c7b3, 0xb0962c01, 0x6c3b3d0c, 0xda3468e9, 0x6a7f88b3,
+    0x6f5d9c63, 0x0a5476f7, 0xb4fce724, 0x49a25ee0, 0xdb2d1229, 0x1c709211, 0xc5ec27f3, 0xef097206,
+    0xeec2b2c1, 0x6cf36aa6, 0x27193b39, 0xc382faea, 0x1f4d1f77, 0xef6c5fbf, 0xd5c6e445, 0x344fe4e8,
+    0xbfc431c7, 0xc79ece85, 0xe58d5bb6, 0x035345ca, 0x92467b57, 0x042f96d5, 0xd0ffb976, 0x50fa0e33,
+    0x20be59c9, 0x8434193c, 0x22991e86, 0x5e2755c5, 0xb76cecd4, 0xd06db203, 0xa373ef04, 0x9a2f3f67,
+    0x2dead8f6, 0xa364e653, 0x2ac58506, 0xb98bad27, 0x10a348b1, 0x69e29a68, 0xed238d29, 0xb88c7170,
+    0x22e7c3f6, 0x8b3a1ee4, 0x5ea4546e, 0xf14d58e9, 0xd6d3e056, 0xfefa3cd7, 0x89fb415c, 0xcf9e7f84,
+    0xde1722cc, 0x24b2e205, 0x0f914ab5, 0x77d1a1f0, 0xbcbd89a7, 0xc215c698, 0x10914b7b, 0xd2106aa2,
+    0x2c714bec, 0x751bd7b1, 0x1c7ccbf5, 0x0febb185, 0xbfbcc15d, 0x5af6505f, 0x8867e23b, 0xb33896a6,
+    0x7f6555a4, 0xc470b15f, 0xb268bbd2, 0x88388198, 0xe493ac5e, 0x79ff16ce, 0x1fce53b5, 0x3bde54d1,
+    0xf077905f, 0x056e9621, 0x786e3422, 0x6c508877, 0xa948b120, 0x6ac5678f, 0x82c5ef34, 0xe96b34e3,
+    0x5b8a9f24, 0xb8bfdd82, 0x6ea2fab2, 0x1aa0b25c, 0x7849658b, 0x92b8916a, 0xf081c3c3, 0x9e919aa5,
+    0x5b781928, 0xe8baf5cf, 0xb141165b, 0x091a2b4d, 0xf269c21d, 0xc9742a47, 0x0024b19a, 0x71bcc917,
+    0x06331ec4, 0xf052575c, 0x137413b5, 0x7702c833, 0x141e2bfb, 0xe2b1ae49, 0x71df072f, 0x36a94628,
+    0xc9104c8e, 0xb914c0d9, 0xd69c0c71, 0x00c838e9, 0xce6945ec, 0x62a61f94, 0x0fd6816f, 0x3215f361,
+    0x415953cf, 0x29a3d36a, 0x6fb93f13, 0x6390311a, 0x179e767d, 0xfc21b073, 0x81812e03, 0xf00e8e14,
+    0x062b9080, 0x5fabb767, 0xa140b4bc, 0x4957f0fc, 0x4f33fada, 0xe5af28e4, 0x521801fa, 0xeb3c34b0,
+    0x7351e4e1, 0x949c453c, 0xb3d4f006, 0xfc5c2f78, 0xf5daa051, 0x0c74daa9, 0x1b63baa8, 0xdfad6967,
+    0x6e6b3538, 0x33fba967, 0x8af54003, 0xb41c36d0, 0xcffce061, 0x9e57f358, 0xc8fa92bf, 0x806e20ec,
+    0x94812be7, 0x65d01c1c, 0x512c5e68, 0x1a2e9f44, 0x68e663b2, 0xc6359fa4, 0x62f7f517, 0x5321febb,
+    0x45af6465, 0x54186a03, 0xcc9ddb89, 0xf4f4cbd0, 0x4d364866, 0xb272c54e, 0xedf7d6d1, 0xad1c2f3c,
+    0x5b5f7a69, 0x4ef0e56d, 0x29e73038, 0xdd1a0957, 0x5d879ba4, 0x09287c9f, 0xba348434, 0x13a1e510,
+    0xf4f8550e, 0x8a0973d3, 0xf5eb71b1, 0x970fd432, 0x86cbf3c7, 0x09d760b3, 0x9aa6b784, 0xe4f0fdec,
+    0xe7150027, 0x38e54cdd, 0xb1ade608, 0x89552492, 0x6c132718, 0xa95063d9, 0x5eed590d, 0x5f5c0873,
+    0xbbdd2b96, 0xe55574ac, 0xa685fb7e, 0xdf4de75f, 0xbd57a85e, 0xe5a97d4b, 0x996508bb, 0x077c840a,
+    0xe55a73a1, 0xd666a328, 0x06356a51, 0x99e6f5e8, 0xdbed1146, 0xd87a5f1c, 0xfc94f1e7, 0x00d9ea82,
+    0x0d226390, 0x3bc38b13, 0x38db5dda, 0xa942fafd, 0x46087e02, 0x9e49a412, 0xd60bbf61, 0xd097b355,
+    0xb625ca85, 0xfa462220, 0xb51404d4, 0x036861fc, 0x43ec5b6e, 0x5a81071e, 0x56cde375, 0x1e23b5f7,
+    0xc219349d, 0x05f3fbac, 0xad2e596e, 0xc8949803, 0xd836621f, 0xcb6d1d47, 0x65b7a795, 0xfd4a7a64,
+    0xb426116a, 0x83dc4ca1, 0x0c2d672a, 0x771b3b28, 0xd9aecee8, 0x79da63bd, 0x8b247b31, 0x7e2c42b1,
+    0x3490aba9, 0xa4f15d19, 0xd076cd90, 0x4e11955e, 0xdc790982, 0x32227611, 0xc34ce8cf, 0x859121d4,
+    0xa9113cb1, 0xc8cb1418, 0x28395dfc, 0x318711c3, 0xd1adbacc, 0x7a1454d6, 0xd7a36a46, 0x4792c1b1,
+    0x9fa5cfbe, 0xe527bde4, 0x58e7731b, 0xe6c68e46, 0xb910c7cf, 0xf750ae3e, 0x44bb6904, 0x824c9259,
+    0xc877d96b, 0x3b954d69, 0xfb63a5f8, 0xe5f45af2, 0x0a7a75d2, 0x297655bd, 0xfe8030c5, 0x867b297f,
+    0xc6fb98c6, 0x40a40feb, 0xe753dfa7, 0x6c36512f, 0x6dc58e8a, 0xf6bf97ef, 0x298f1cf3, 0xe1984981,
+    0x64959506, 0xd59eb0bf, 0x6622815a, 0xf8523382, 0xfc25967f, 0x2abb738a, 0x5f202cc4, 0x3dda8db9,
+    0x54c887bb, 0x337c1283, 0x6d7c4a00, 0xc45f311a, 0x3cc9dd56, 0xb98db0c7, 0x9cf0d7ef, 0xcb28951f,
+    0x2c5f0f2e, 0xa20eb09b, 0x309d0978, 0xb94cd6ce, 0xf608f401, 0x8e60f53d, 0xa9228028, 0x06b15be3,
+    0x5bc84dc8, 0x94bf0faa, 0x6ac8149b, 0xae1154fa, 0xae1435f7, 0x20d6de6e, 0x2650c2e0, 0x32ed56b1,
+    0x43330136, 0xb33f516a, 0xecce721a, 0x75b5dd60, 0xebcd58fc, 0x80b4ad01, 0x835b39aa, 0x2b3843ee,
+    0x9d77ef5b, 0xbfebb32f, 0xacb69a64, 0xa095db95, 0x4c6b50d1, 0xcd14cba5, 0x380fd645, 0x9e6c275a,
+    0x6e30acbe, 0x88538ad8, 0xd4565d50, 0xc73efbbe, 0xaf9555a1, 0x66f700c0, 0x57983623, 0x6c44b525,
+    0xdcb62085, 0x8d98b2f3, 0xb58e930a, 0x6c9bb3be, 0x996adca7, 0xe4ee4e52, 0xf5b40906, 0x64cc5611,
+    0x6701d475, 0x78d0e5ac, 0x3d48ea3a, 0x0e43cb71, 0x43d34415, 0xf38a21b9, 0x8306e2c1, 0xd0d2c893,
+    0x6a296652, 0x5271a231, 0x755a927e, 0x5b1037a6, 0x8d32db56, 0x8619813f, 0x175b616c, 0xe529d34c,
+    0xc4306581, 0xe711f4a9, 0xd753c1e3, 0x476d1f00, 0x40f0d86b, 0x1b850b8e, 0x8b1f1da7, 0x4c417814,
+    0x9d0fa72e, 0xc9d0bf74, 0xf31859d5, 0x4274315a, 0xf57d1aab, 0x167dabe0, 0xbb6b307b, 0x2ab8b0f9,
+    0xa4ebc361, 0x452ab826, 0x5d5674c3, 0x3a2a9a15, 0x8bf34403, 0x88e9fe95, 0x1e7636af, 0xf05eeb39,
+    0xe5471919, 0x8e7be327, 0x78da0fa6, 0x2506031c, 0x0fa210be, 0x863fd960, 0x14050805, 0x59c6fb2a,
+    0xc7f5db01, 0x51f4031a, 0xb4be042b, 0x6155d85c, 0xd29f9855, 0x793ed7d2, 0x82ff3a9a, 0xd849d3c3,
+    0x1fbc1269, 0xb68937f0, 0x1171fd52, 0xbea69a09, 0xf26292ca, 0x61284a17, 0xd4ca1cc5, 0xdb375cf5,
+    0x934c223c, 0xbf4b828a, 0xcb3ac1e7, 0x8ec32205, 0x130086af, 0x2003c675, 0x8abee61b, 0xfac914a8,
+    0x9716767e, 0x3ca86a10, 0x03d830e2, 0x2c8ec314, 0x0f058b7e, 0x0d24add8, 0xbd8c520c, 0x70ccf71c,
+    0x36595e0d, 0xdeb8d50e, 0x418a257d, 0x575b4545, 0xea8b27a8, 0x0f5da5eb, 0x75975a6e, 0x17d2d2e5,
+    0xc2246eb4, 0xa3ba75f6, 0xfa7810aa, 0x413fea54, 0xf291245c, 0x1f3fbb7b, 0x2fe84de4, 0xb010230e,
+    0xf0691fe6, 0xb74b7749, 0xae5615c6, 0xc2d4a814, 0xfb0b510f, 0x3006cc60, 0x2880ff26, 0xc28c3e72,
+    0x695da74b, 0xbc970410, 0xd8a0e550, 0x12be6701, 0x236845ec, 0x9fe81161, 0xbf9a4ebd, 0x45879260,
+    0xf3800c77, 0x9a9118e2, 0x4383b8d6, 0x9bb58b1c, 0x402b566b, 0x27deb78f, 0xa6e869d7, 0x86ac6e31,
+    0x743d9f2c, 0x88bd6318, 0x360b987a, 0x657ff1a0, 0xaf52fe3b, 0x6828efd6, 0x014a0254, 0xc152f02b,
+    0x0339b236, 0x40c7ae23, 0xf628cc8b, 0x17784de0, 0x34f14036, 0x6e4ca6b9, 0x0f04676c, 0x2861cc9a,
+    0x47bbdd67, 0xe0bcc3c8, 0x9ece4794, 0xac3004c4, 0x5a1597b5, 0x66ad82c8, 0xb76f4d03, 0xb661bf96,
+    0x399ddff8, 0xb6c96672, 0xee9a425f, 0x96127f59, 0xec952840, 0x6007953e, 0x599330df, 0x6172c940,
+    0xc56779b7, 0x245016ea, 0x8c4e1dd2, 0x4fd179ff, 0x28c2a028, 0x98041139, 0xa52a8738, 0x232a8850,
+    0x2662e4ad, 0x270fd925, 0xc882d35e, 0xd1155886, 0xbfb1152a, 0x383e697b, 0xaf347a89, 0x46f89140,
+    0xb8c58529, 0x54a160c4, 0x55c81532, 0xff34c0f2, 0x1980dca1, 0x7b2c2ff1, 0x86ade7a1, 0x9cbf864a,
+    0xfe0f3aae, 0x296ad96a, 0x9186013b, 0xffdea773, 0x253af97c, 0x15236848, 0x6f61aee3, 0x93f73ef7,
+    0x10457338, 0xc59dd0ca, 0x361c4f9a, 0x536b57f1, 0x8a7a07cf, 0x55ac41cd, 0xe3755970, 0x24fc024b,
+    0xc27bcdb3, 0xae505b89, 0x010c2911, 0x67df4bbf, 0x181daccc, 0x532b1c33, 0xde10220b, 0x45ba392a,
+    0xf44161a7, 0xb8705b3c, 0x4451e0b0, 0x2072d95f, 0x6c899383, 0x2e536237, 0xa2a34c02, 0xd9d9e18a,
+    0x6c2a0261, 0xec790234, 0x25c4a44d, 0x1d6a46b8, 0xef88b911, 0x585ebf8d, 0x371f6cf3, 0xccb345c5,
+    0x93b3ae0d, 0x18c7cd25, 0x008afb79, 0x1cfec8e3, 0x911d886a, 0x4495d22c, 0x7503e347, 0x15ae6b21,
+    0x73b9dbe8, 0xeec37b15, 0xdba86031, 0x1e442c23, 0x2a91d286, 0xaa2b30d4, 0x80dcfc83, 0x29aab83b,
+    0x54785410, 0x88629b90, 0xb3a1b8c6, 0x30ea7510, 0xd919c7f5, 0xfdba6b7e, 0x15c21c73, 0x57055c25,
+    0x2dfe07dc, 0x9dd2779b, 0x86803971, 0xb266cc9a, 0x2b9e76cf, 0x956e5e6d, 0x729be782, 0x56b92540,
+    0x47644b1a, 0xc81f594b, 0x1722018a, 0xeddaa77e, 0x377d5918, 0x50334822, 0x64135dc2, 0x5bac79f4,
+    0x5a6c6342, 0x8425e389, 0x4fcf7b09, 0xf36107d5, 0x4cf63787, 0xdf5f48bf, 0xe772c870, 0xc4ebb78e,
+    0x498dff6a, 0x59b304d1, 0x274ef41b, 0x3e954210, 0xf868f55b, 0x55f34df8, 0x146f80b3, 0x63be4563,
+    0x702bba7c, 0xa35d3424, 0x155319e3, 0xfe08d4c3, 0xa1d0477c, 0x44c06cbe, 0xe83a51e3, 0xd768c14f,
+    0xc68f4818, 0x90134ccc, 0x42683fd7, 0xdc37cb89, 0xa25530ae, 0xdd546ec5, 0x25560895, 0x06f75e96,
+    0xb2669deb, 0xca1e9ed1, 0xa06963cd, 0x35a00d0a, 0x46585f9a, 0xd6c85684, 0x5062c08c, 0xd0afa33f,
+    0x909368c5, 0xc076ff25, 0x2d937f6c, 0x6b1c6eb8, 0x228af7bb, 0xfbae5077, 0x16b2df1a, 0x734d4cc5,
+    0xcbe9163e, 0x55e75261, 0x043f0607, 0x3eb07109, 0x7205c6bb, 0x27da841c, 0xdc7502c1, 0x96a554d0,
+    0xe778fdcb, 0x51696c31, 0xac5e27af, 0xd600a316, 0xf8b61ca7, 0xad49383a, 0x49b88282, 0x917eda2e,
+    0x97297b12, 0x1b1a8c87, 0xf78300e6, 0x842518cb, 0x767c7d3c, 0xd291f212, 0xdb4a97eb, 0xfcaafdf9,
+    0xaa9f1013, 0x72c63654, 0x437ed3d8, 0xcc630fa5, 0x8b0cbd96, 0x19d170cd, 0x8dc0cfad, 0xf1ceb210,
+    0x25b88294, 0xae91255b, 0xbaeee097, 0x247a54a8, 0xddfcd888, 0x56ea1c30, 0x43d0bd07, 0xb29b653d,
+    0x9ef01baa, 0x08d2889d, 0x4937b7ab, 0xc731f523, 0x1d9bb724, 0x913f739c, 0x0df00a2f, 0xf032682d,
+    0xa2cab20d, 0x929320a9, 0xca4fdf98, 0x961306a2, 0x06ef42e6, 0xd2d35681, 0xba8b3041, 0xf652156f,
+    0xa3ca830d, 0x37faa45d, 0x3715fa01, 0xcc8fa3bb, 0x11674bbf, 0x551d2f83, 0x7b6f3681, 0xa01d6f56,
+    0x42170f78, 0xcb69b529, 0xd8c899be, 0x4d5e7cb8, 0xcd5c1e97, 0x293b6d89, 0xb7efb22d, 0x57f71d27,
+    0x93510ef6, 0x10fea124, 0x03744019, 0x61e74201, 0x8fbc337d, 0xc566857b, 0xd9d823ab, 0x008a3e6e,
+    0x11bab5ca, 0x60176301, 0xb33b449e, 0x0e7f6017, 0xebeaad86, 0x8c7d1e34, 0xad6456a5, 0x0dc30a6f,
+    0x3900f5ee, 0x68341323, 0xaf38183e, 0xf952af29, 0x6c9ddd9b, 0x16402ab9, 0x62215ba7, 0xabb0dfe6,
+    0x00000000,
+    0x47c497d4, 0xd3baa3e7, 0xa0cca1fb, 0x105cf0b3, 0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69,
+    0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000002866873269987589389513526119\
+                         12760867599570623646035140467198604923365359511060601008752319138765710819328 */
+  { 0x00000000,
+    0x4f3db04f, 0xbcd03753, 0x084f1f37, 0xf33bf507, 0x5cd441e0, 0xa1471e0f, 0x0fe0cae2, 0x65adbf3d,
+    0x92f41cbf, 0x1fe51ac7, 0x98f4164d, 0xeb24a3ec, 0xc8438d52, 0x7e0447ea, 0x1bc57ade, 0xc6c6c545,
+    0xdf829044, 0x199e4e0c, 0xb3eb3a28, 0x21e9b6ec, 0x30be6fb5, 0x83fdc851, 0x2441214f, 0x5bbe912f,
+    0xd4bb97e3, 0x4c331327, 0xe802824f, 0xdaedf9cd, 0xe07cd9f7, 0x2773c816, 0xa8f12890, 0x1a9759dd,
+    0xfb9090a7, 0xe16036e7, 0x05fb3f0f, 0x921c3302, 0x8a1af08b, 0xa3210ffb, 0x0e654794, 0xc73b7825,
+    0x0c9246a4, 0x54542949, 0x82748ca3, 0x066d5c7d, 0x9ae77e9c, 0xd1e5b2a0, 0x20cfb4bb, 0xa945c1ae,
+    0x3363bf82, 0xe9cda418, 0x6e359c01, 0x165feb92, 0xd2b0c01c, 0xb9cdb7e2, 0xbeb270b1, 0xbdbd230c,
+    0xc203d94c, 0xcb55fa39, 0x9f679790, 0x15cadc96, 0x30e1568a, 0x06989365, 0xe2a0aa96, 0x78a4d4fa,
+    0x89070092, 0xe17d7942, 0xfd30abf3, 0x9b6195ca, 0x9ba87722, 0x2f5c3380, 0x0271a17b, 0x8d20f5d2,
+    0x0fef9613, 0xd251df40, 0xc974c629, 0xba597383, 0x3af638a1, 0xf5432308, 0x3b7f9ce4, 0xe39a724b,
+    0x6bdd68f8, 0x5a2bed1d, 0x76b70149, 0x052cf866, 0xb3684b5d, 0x4b5b6638, 0x1dc35077, 0xc1a61504,
+    0x2a035c59, 0xf7d2fe0d, 0xb8fe9f1f, 0x0e9a6074, 0x8dc0930f, 0x98080137, 0x0fbfad21, 0xc56cb2e0,
+    0xf0f5e126, 0xe2a5e021, 0x2cdb2f57, 0x175c41d9, 0x6e4b0429, 0x2ccebf33, 0xcaae6284, 0x3e16de8c,
+    0xf770bd94, 0x3aa9bf86, 0xaa89b8a2, 0xab7a4172, 0x9ea9ca6b, 0x735fc8fe, 0xb0adfb92, 0xc46172fa,
+    0x0d0de5b3, 0x92dd957b, 0xe7c59952, 0x959d3f21, 0x13f0a418, 0x72d2fd18, 0xff856f73, 0x28aef102,
+    0x3ce1e40f, 0x36c1bffb, 0x9861b326, 0x499ffa8a, 0x971943c6, 0xc2811863, 0x52f0cc0b, 0x3a132f5d,
+    0xc08b2371, 0xa112d73f, 0xff6b6031, 0xeff88374, 0x102bb078, 0xdee2946a, 0xfc7df42c, 0x7108918d,
+    0x9f690d0c, 0x773823ce, 0xee5791b6, 0x631e54ca, 0x4b47ced6, 0xe494f25f, 0x12db9972, 0x6f742690,
+    0x85ee850e, 0xb0c76e86, 0x31f26843, 0x8a31f23f, 0xcb42d701, 0xc5e4112f, 0xc8df5199, 0x75a63d75,
+    0x0d17c5fa, 0x562877b8, 0xb8e074ce, 0x8e3a1275, 0x3b6086be, 0xffb4018c, 0x943b4da6, 0x09b108ea,
+    0x2d4d1591, 0xc3ffbfd6, 0xdc0133cb, 0x79b03f31, 0x8827f606, 0xb7d8bb09, 0xb01600b9, 0xebf05d80,
+    0x2eac9c0e, 0xec3f61d9, 0xf5ccca9f, 0x572797ea, 0xbb62b562, 0x8f5e35ab, 0x9d644817, 0x8414d87f,
+    0x72b3aa1b, 0x02f2578b, 0xed935915, 0xe314dc77, 0xfa8f1ec6, 0xcfb54d58, 0x7a51a81f, 0xc531ab87,
+    0xa070c577, 0x3536d851, 0x5a07f911, 0xdaa91a2d, 0x32f3fdd4, 0xe22f1fac, 0x4342c3c4, 0xc9fedc32,
+    0xe7446285, 0xe659b8ff, 0xc5263dd0, 0x312ba998, 0x2e135791, 0x9df6dad0, 0xbf7e245c, 0xa6ef10ef,
+    0x3e3c3b14, 0xf4680d28, 0x89fc6f1f, 0xc01024bb, 0xd9530802, 0xf0da69e5, 0xf770d5ca, 0xbe5e84e9,
+    0xc1ef144c, 0xe5f16aa1, 0x5e4ae5b5, 0xe81196f9, 0x3fe61943, 0x96471dab, 0x62b5a6b5, 0x65949a20,
+    0xc9443b45, 0x95968064, 0x0516a888, 0x8a0014d4, 0xa86f8d4d, 0x0bf187cf, 0xf41f094a, 0x27388ece,
+    0x13c85dcd, 0x52c77c51, 0x7de23bce, 0xaad77c36, 0x26569b21, 0x64e9c8db, 0x5ed532b5, 0x79b17abb,
+    0x47f14349, 0x56dd0328, 0xd4d30310, 0x54987358, 0xcc5ff4aa, 0x8ca1435c, 0xbc4643b0, 0x1f4d8688,
+    0xfd39c4fe, 0xcc2bf664, 0x7d8861d8, 0x2d7acd79, 0xa6a9f4b8, 0xe519e49a, 0x15c9ccbb, 0x2c59bb1c,
+    0x61253a55, 0xb937920b, 0xd0d661e5, 0x68576844, 0x74cf28d9, 0x1bef8fc9, 0xf3ff01fd, 0x3d96e5fe,
+    0xc4d15f71, 0x1b3810f0, 0xca2f77b9, 0x61f867ef, 0x5861808f, 0xcc9abfba, 0xbf6d768f, 0x133ea1cf,
+    0xf35dedc4, 0x4fa5d777, 0xd51b4073, 0x3b30bc1d, 0x5da65657, 0xa2cc3ad5, 0x596f7d5c, 0x09337323,
+    0x316b429b, 0x1f54d767, 0xe5901291, 0x95cb8916, 0xcbeb4df3, 0x2bbaae27, 0x8c5a2017, 0x0b962be3,
+    0x79f796bb, 0x11f1fa47, 0x727a263f, 0xa021d223, 0x336f60d8, 0x6fbbf095, 0x43ae48d4, 0xa9df1928,
+    0x19ce65b2, 0x3e5e19ce, 0x8ab47d2e, 0x012876f0, 0xc952c5cb, 0x44686ab1, 0x415faae6, 0x2b4e1e24,
+    0x3626e540, 0x812b2ce7, 0x8de66a0b, 0x09d68298, 0x2671cc5a, 0xf730ab7c, 0xeb4f506c, 0x77b89291,
+    0x509d507e, 0x69aaf69b, 0x904f5d28, 0x837ed801, 0x2574f87c, 0x565b9de0, 0x389dfe22, 0x1424447f,
+    0x687117e8, 0xc3c19202, 0xd17d1cda, 0x4ba002fb, 0x3f028619, 0xe05ba289, 0x4a80e9d6, 0x8e2d292d,
+    0x3b94f0db, 0x712dee78, 0x41b8a2b7, 0x49cceabd, 0x9c696868, 0x42ce7103, 0x81fef0fc, 0xe1cfe3f1,
+    0x1b929aa3, 0x5420dae1, 0xa0b79ac9, 0x04e34477, 0x14bdcf09, 0x495b7b55, 0xed14c962, 0x14907c25,
+    0x182b4152, 0x99cb8af2, 0xcb46413c, 0xe9406679, 0xcf5ab031, 0x5404cba5, 0xf542941c, 0x92ecb984,
+    0xe5ac545a, 0x0b8e17b2, 0xed5fcf7b, 0x1d9ea081, 0x2c141689, 0x1d12f9e3, 0xc8518482, 0x3a0d9a13,
+    0x98d47991, 0x74036edd, 0xdd2bf9aa, 0x2c2f091f, 0xdb4ee2b9, 0x47e221d6, 0xd2ed0dce, 0x432d1f6c,
+    0x0a0004cc, 0xdc04d96d, 0x37b1e50e, 0x1c588ff5, 0xbd9afbb9, 0x05c9e52f, 0xbfa95a9e, 0x0eb8b960,
+    0x3caacb01, 0x48547293, 0x7eeda82f, 0x57657280, 0xf5cea15c, 0xb09b1f7d, 0x38e4ab32, 0xa2188ac1,
+    0xa61c201b, 0xb63a37e5, 0x29ff9d02, 0xc1dad406, 0xb444a7e6, 0xa504efd6, 0x9d7ff28c, 0xb5cf97f5,
+    0xa2df6d64, 0xd4ca3fb2, 0x1fe1844b, 0xfca0fd3d, 0x048eb6e9, 0xc5f3062c, 0x5f397158, 0xe6198f10,
+    0x3ce0eb46, 0xb24131f6, 0x0b3ed5a5, 0x3c69af9a, 0xb9de6dad, 0x078dc5b4, 0xbf80c683, 0x8f07c620,
+    0x624bc56b, 0xf6e905d3, 0x22cd9675, 0x556fc738, 0xb0f10036, 0x27902bff, 0x441b44d8, 0x38f4526c,
+    0xf4361106, 0x29ff4cb2, 0x47f13c91, 0x4afdbd93, 0x15103d23, 0x5faac5a6, 0xb2eb8e3e, 0xd1046c38,
+    0xf97ae2f3, 0x8706f037, 0x01c32eb0, 0x5cad44c8, 0x53c8c191, 0x4bb05fa1, 0xb3b2a852, 0xc12f73c8,
+    0x3442e435, 0xed506193, 0xdf877143, 0x95767f2f, 0xae9e1632, 0xf3d57aa5, 0x67e03398, 0xe8e25ad9,
+    0xddbf02d7, 0x0612da52, 0x51c9e40a, 0xcf806bf6, 0x163190c5, 0xd940a29d, 0xaf8c83c2, 0x0b4927e6,
+    0x90812b0d, 0x97acf2d5, 0x57330438, 0x6d3a9c5a, 0xe14fe938, 0x8d0b042b, 0x783b4483, 0x8575885a,
+    0x8af00029, 0xb1f704cc, 0x12b67ec5, 0xe3183d6b, 0xcf0fcbf7, 0x4cf68e17, 0xadba5868, 0x497aa2c8,
+    0x44059308, 0x3b986671, 0x2287947f, 0x05b7f994, 0x2c80c9b4, 0xbc84fbcc, 0x850cf15d, 0xe3177e2a,
+    0x3bf9d2e0, 0xc51b58cc, 0x2dd2ad32, 0x0ac65ab7, 0x580e3f9c, 0x9161fc17, 0x176a3206, 0x7394a53b,
+    0xa9a6f007, 0xcda46908, 0x3effefbb, 0x6fae7907, 0x835c6965, 0x1123c8a9, 0x9d45c41b, 0xd59779db,
+    0x7a3eecf7, 0x95924438, 0x11e0f477, 0xee8be7f0, 0x957cfd6a, 0xffcf7393, 0xefdff655, 0xa8be94bf,
+    0x7b9e964b, 0x1a6e8f00, 0xa3df3be6, 0x9a4cb165, 0xab540cb0, 0x3becbe26, 0x40fd3ed4, 0x15b49b07,
+    0x92ca5cf7, 0x60f8cf4a, 0xba7b5f5c, 0x77487dd7, 0xa968e9d3, 0x7740edbd, 0x9338847f, 0xa90da3fc,
+    0x61939113, 0xd3ff45ba, 0x4b783a07, 0x1ede773b, 0x34cef4d6, 0x613ffb9d, 0xdf3fd5bf, 0x4db3eab3,
+    0x21fc0f8a, 0x902ec8dc, 0xd32f3280, 0x1f464ce7, 0x69180c76, 0x66dff07f, 0x8aacf433, 0x751a1fc2,
+    0x765c00f9, 0x8e1aa49d, 0xd1709903, 0x310a7957, 0x56579d8e, 0x2a6f58aa, 0x17fa3abd, 0xc567a8bb,
+    0x3889687a, 0xb766ece8, 0x34f1d6b1, 0x68a25c09, 0xa38a704b, 0x2f210183, 0x8550e165, 0x22294357,
+    0x172ed89d, 0x1af56c11, 0x3ce2019f, 0xa6313aa8, 0x8a901044, 0xe756144e, 0xbe160900, 0x80bd7ddd,
+    0x6a557205, 0x9c344a5a, 0x45ec437f, 0x5cc47c85, 0x9937f7c0, 0x13b02077, 0xa32d3f2c, 0x0260c764,
+    0x333d020a, 0x4e2e8358, 0x9a7cb0d8, 0x14cc077e, 0x79d09a9e, 0xe9572b3e, 0xa4591143, 0xb7fc9d10,
+    0x199619ac, 0x27cf38f7, 0x39baf0d2, 0xb3127ae2, 0xe76a634e, 0x952505f7, 0xbca78733, 0x1525b0eb,
+    0x6aac7f6e, 0x71ca69d8, 0x203a2cf7, 0x6d0801fc, 0x463c94eb, 0x793f80ea, 0x375ce4af, 0x7aaabd7b,
+    0x00bbf5ad, 0x06c02366, 0xba964b3e, 0x476fcfdb, 0x347b09b9, 0x8805e823, 0x2208a158, 0x971f0163,
+    0x04952aa1, 0x58b713b9, 0xb0e7aea9, 0x0bde9e4e, 0x53e50eda, 0x2e939333, 0x25796609, 0x392cf993,
+    0xc364f840, 0x43908d97, 0xc173edba, 0x6a930fdb, 0x04a09c88, 0x454354dd, 0xcf1a58ce, 0xa605b206,
+    0x6c0dba80, 0x43dc4857, 0x106bfc7d, 0x6f1a5b95, 0xf400c91e, 0x8cc0e497, 0xb80f4735, 0x973b216f,
+    0xf286742a, 0x8dccaf70, 0x5284304f, 0x33dfac23, 0x9202223e, 0x0f6a314f, 0xb444322e, 0x237e4c02,
+    0xe4ee5642, 0x2e144f8d, 0xe0424332, 0x24c1483c, 0x050d88b6, 0x5def9f2d, 0xd55fb9bb, 0x223f264b,
+    0xe38bde7b, 0xad831dc4, 0xdd8a1980, 0x07e8d47d, 0x712a0f0c, 0xe6eb01d4, 0xd4f0a57d, 0xd3eef8df,
+    0x900a9d32, 0xb2666a3f, 0xbb2e959a, 0xb817654f, 0x3cdd3a5b, 0x185f3627, 0xe186315f, 0x4a8ff4ef,
+    0xe503124b, 0xc0062b70, 0xc701d03d, 0x6c8b8b7c, 0x70c7189a, 0xbef24c6b, 0xad3d5147, 0xb2497b46,
+    0x18426f86, 0x53138994, 0x8cc27e9a, 0x3ead7051, 0xf2715c28, 0x24566875, 0x70acaa7e, 0x7a7ed921,
+    0x155919cf, 0x8ff61a24, 0x18ebdc33, 0xb4b5407c, 0x54b8a22b, 0xb5558674, 0xd9917ce2, 0xb6daac62,
+    0x031bcffd, 0x35a69dd7, 0x74a27fdb, 0x88c6bbd7, 0x22a52f38, 0x4dab412f, 0x54e53b33, 0x63ca6a75,
+    0xb20c77e7, 0x2b15bea2, 0xca6bf952, 0x9ca039cc, 0x2913debc, 0x10ce1d23, 0x9e2ee7d8, 0xc2ebdc16,
+    0x4e28c410, 0xc262a9f7, 0x0b69494b, 0xd75aa4bd, 0x3319247b, 0x79037afd, 0xe60a38c1, 0x4d5b56c1,
+    0xef0533a9, 0x4ff35c87, 0xe7705607, 0x34410f50, 0xf0dad8d3, 0x259e0786, 0xd62582d6, 0x13b708ad,
+    0xfc042ba6, 0x0224da39, 0xb0f4e166, 0x817a716f, 0x236d0da5, 0xb4099715, 0xb2dab840, 0x754477c5,
+    0x22c6dd30, 0x9d1f4bd3, 0x3e0fecab, 0x062f05e5, 0xf0391531, 0x8de846de, 0xe0d74682, 0x1986543c,
+    0x05dde1f0, 0xbcbbc9d4, 0x79300421, 0xb5b8905e, 0x021290db, 0x09c4449e, 0x05f38054, 0xb8e23f3a,
+    0xb98e4702, 0xc4ffdf55, 0xb8e22aab, 0x20655068, 0xab464eb2, 0x114f20fc, 0x3143a61e, 0xa1a87079,
+    0xe52ffb88, 0xfeb5d424, 0xdfbe6800, 0x1f22ca06, 0x15f358ac, 0x48b89617, 0x486fd85b, 0x7f41bf68,
+    0x62de60f9, 0x3b328c5f, 0x4d31b3b6, 0x4785164d, 0x28d8bd4f, 0xe4f652ad, 0xa389ce23, 0xc9aad84b,
+    0xd6ccad33, 0x7a14dbfd, 0x79b6604e, 0xe55b5652, 0x19b5bdf3, 0xbae3d0c7, 0x96e7f116, 0x8b47ab14,
+    0x2aa2ac14, 0x7a6310af, 0xe84874ef, 0x8de4bb39, 0x962a2772, 0x401a321d, 0x7a6a8951, 0x627cab68,
+    0x3a25c9af, 0x0c7fc1e5, 0x509aea80, 0x83fa393e, 0xfec54b43, 0x616cdad1, 0x540b39ce, 0x56052603,
+    0x1ac4b9d8, 0x7a5980a6, 0xc54598db, 0xd893c79c, 0x3620ee54, 0x401f26f4, 0x4a4fd008, 0xb35338fe,
+    0xd9b6b493, 0xd1ec76cb, 0xc8beac7f, 0xa416dc4c, 0xffd08c09, 0xae47972e, 0x9ff65146, 0x16eee16e,
+    0x436fa9e7, 0xe96aa93b, 0xd1e723e4, 0x688f2e58, 0xa5653da2, 0x65ad6454, 0x08db22df, 0xfdd8a49d,
+    0x3baacbb8, 0x6f0e683b, 0xcfb38c4c, 0xf54034a5, 0xbc334423, 0xd20635f7, 0x186cceef, 0xbe06ca55,
+    0x3e5aaaff, 0xaa056bef, 0x301aefdf, 0x07a50d49, 0xbefc4c47, 0x687e1de2, 0x26e9e2ae, 0xe5354956,
+    0x1a46c08b, 0xa5fff8e5, 0x13967914, 0x98d3826e, 0x67e5ef2a, 0x3e5d2875, 0x9ca05452, 0x2d9b8f00,
+    0xbab987c7, 0xb55814c6, 0xbdf9e540, 0x7808890f, 0xd992996f, 0x1f3b8482, 0xc59d2cd3, 0xe31689d7,
+    0x432a0cb2, 0x7ba5de73, 0xd6ba117a, 0x74a10586, 0xc1bf87a8, 0x0fb1d967, 0x0908207b, 0xd4622e78,
+    0x9f280435, 0x030d55e3, 0x60c3f824, 0x4350dec9, 0xa4d25e28, 0x8ab29200, 0xd7c7ac7a, 0x97e8f383,
+    0x4d3f69fa, 0x813943c2, 0xdaa05197, 0x4300a09b, 0x58c79f64, 0xcca9a63f, 0x0d114751, 0xa3534f7e,
+    0x38bab44a, 0x8fd22d01, 0x2e807a51, 0xfedd1217, 0x623db4ff, 0xfc252902, 0x09dd5bda, 0x95f152b5,
+    0xc0f7b3be, 0xd3365010, 0x54c5dff6, 0xae25f31e, 0x7895dbc4, 0x8c821ee3, 0x1759db50, 0x14085473,
+    0xc64e683e, 0x357b427b, 0x2dd31de3, 0xf2361144, 0xac910435, 0x22f16793, 0x8a99eea0, 0x480ae217,
+    0xfe413a96, 0xe50b4c63, 0xdb474ed0, 0xa6903bea, 0xd4731d56, 0x67c78b7d, 0x25531a80, 0x71444e81,
+    0x20605aab, 0x7d529276, 0x59e10244, 0x22437b46, 0xbb38131f, 0xdce13251, 0x4b4a558b, 0x2f60d166,
+    0x5f8b6f70, 0xe2982bb8, 0x005e38c2, 0x08569567, 0xf745000d, 0x491eed27, 0xa998ede7, 0xa0384265,
+    0xe08c8a40, 0x09c10d84, 0x399842f2, 0x1812fa98, 0x0cadaabc, 0x70df03b4, 0x66a18f70, 0x8472e83c,
+    0x0aa61fe4, 0x8e81d6e7, 0x79c8c930, 0x12e535cd, 0xe12a5067, 0xaeb315b2, 0x3f8e714f, 0x15d6843e,
+    0x880f7cd1, 0xd0f6f318, 0x9709ae2a, 0xe257f2d2, 0x9be02d09, 0x5ab95729, 0xf9b9eec0, 0x1659a737,
+    0xfc4fef5d, 0xb0f5c673, 0x68e1537d, 0xb4c8453f, 0x18355a2f, 0x4db596cf, 0x98001d79, 0x6a603e00,
+    0x0f13690a, 0xe37ebbae, 0x4298e886, 0x33d5bb65, 0x6e617af1, 0xa0540b53, 0x1c78dc12, 0x10a2333f,
+    0xf9281b76, 0xcf7e64a9, 0xa9dd6886, 0x42eb82c2, 0x17546ca9, 0xb63aaa09, 0x0cb49e54, 0x5e4eca4f,
+    0x1240e323, 0x3976be85, 0xbe8bd88e, 0x2176aeea, 0xcfc0596f, 0x2d0a7aa9, 0x52b25610, 0x553f10e0,
+    0xa63d0e7d, 0x69766186, 0xd9510d2a, 0x0943ac9c, 0x224953e1, 0xca0d222a, 0x66058796, 0x3dd0fe41,
+    0x7683b2c2, 0xdef9ba3f, 0xb70e02b9, 0x7fcaa7b1, 0x02ffcbfa, 0x578b1a97, 0xce420294, 0x9ca13cf4,
+    0x41713c97, 0x935edd3d, 0xa38de347, 0x7df5c908, 0xa25e3865, 0x8b2fe1b2, 0xa4e39ed4, 0x4366f43a,
+    0x68fdfc72, 0x32fde8e4, 0x9d086c8b, 0xff48caba, 0x4ff478a6, 0xc9b9ed8f, 0x8a58f788, 0x7f6f0192,
+    0x218c68e6, 0x8c089e17, 0x1e00c1a2, 0xd640d410, 0x9f29314c, 0x1c14dea8, 0x6f0d9173, 0x3a23cbb1,
+    0x9ced0a38, 0xb7bae8a3, 0x77f31252, 0xab9809dd, 0xd34dc5af, 0x840e8b73, 0xe66d74c8, 0x55c4fd81,
+    0x393e427c, 0xe994c11e, 0x2c44c3cf, 0xdd909f3d, 0x1cdf93f6, 0xcc16248f, 0xaac8d4b7, 0xd1a63fa7,
+    0x00000000,
+    0xa3e24be9, 0xe9dd51f3, 0xd06650fd, 0x082e7859, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4,
+    0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000001433436634993794694756763059\
+                         56380433799785311823017570233599302461682679755530300504376159569382855409664 */
+  { 0x00000000,
+    0x0f180913, 0xda8fc033, 0xc7e98b5b, 0xe206d465, 0x037f6f56, 0xa9268b0e, 0x6a3afbf3, 0xd53f24b3,
+    0x06b703e7, 0x05744c49, 0x6235f4ff, 0xc597dc3c, 0x970d1755, 0xb9942e9b, 0x0aa51ab9, 0x7b051e9b,
+    0xc0bd317c, 0xc0862776, 0x8fc18132, 0xdd72feac, 0xe4e07868, 0xd4256e82, 0xefe99a2f, 0xa8b8963a,
+    0x6ff4b996, 0xf4c47986, 0x5ba31f14, 0xdc914196, 0x5b3ee7ae, 0x5532c517, 0x3fa19f1b, 0x281e3dce,
+    0xeed622d4, 0xe2cb5d33, 0x7845bdd9, 0xb34b5a35, 0x3b9db8d9, 0x396060c7, 0xf0254b0b, 0xc296ab94,
+    0x8b5b77df, 0x76ef71e5, 0xd2c59b15, 0x09cec89b, 0x4bc4e9f8, 0xa965e1f8, 0xebb6f9d4, 0x0e6f1811,
+    0xb4aa470a, 0x67adc113, 0x72bca66f, 0x6edc7e8e, 0xeed092df, 0xc320feb9, 0xa1f54646, 0xf206a1b6,
+    0x8ade0d16, 0xe13b75ae, 0x7283ab62, 0x8d57e955, 0xfc0bd3a0, 0x08bce3af, 0xfc5801d1, 0x8653f4f7,
+    0x229d413a, 0x74f24390, 0x358b396a, 0xf90bfbbb, 0xbce73456, 0xe23fc0d8, 0xc0cc9edb, 0xe4e6408e,
+    0x80c3b915, 0xb1decfdb, 0xf1c26d0a, 0xa3b3055a, 0x6398bab8, 0x9fbd5e10, 0xa3862c45, 0xb996e43a,
+    0xb1006090, 0x6c531816, 0xfddf9ccd, 0x64c63b9a, 0x02e330d4, 0x9d3e291c, 0xc7018297, 0xf593a28f,
+    0xb7383586, 0x4f36eabe, 0x2739fe84, 0x9deab07b, 0x3eaffa32, 0xca0ee1dd, 0x29493212, 0x7bf69076,
+    0x65701fd5, 0x16b72893, 0xebc22935, 0x29ff191a, 0x99783caa, 0xfd97cb65, 0x0f2e9760, 0xdbb14fd2,
+    0xb0089a9e, 0xd6e6dd94, 0x55fe2bd9, 0xdf4bfb5e, 0x0ec239ae, 0x8b4601eb, 0xc456c46d, 0x83cd8aac,
+    0x247c3e07, 0x1f51aeaf, 0x830173ab, 0xee72cadb, 0xc17d685f, 0xc30e4fec, 0xb967e2bd, 0xbd655eb6,
+    0xec4c42e5, 0x2b312fc1, 0x4ac3e2b4, 0x4191634d, 0x44b66f34, 0xe4d37f42, 0xebaa084b, 0xe449fba4,
+    0x0b1fd6ad, 0x84a0fd8f, 0x0f8a87f5, 0x82a89381, 0x702a5aa3, 0x5ce2a43b, 0xf85d01e5, 0xf2b4c047,
+    0xc5eafb84, 0xac8c8647, 0x567ff716, 0x7b931c26, 0x9c0f62ef, 0x334e5b8c, 0x444f7acc, 0x17df1d5f,
+    0x22cd5db9, 0x0d6f8430, 0x4ceb7f72, 0xb94698eb, 0x6e8fdd2c, 0xbed15e34, 0xa2cfe95a, 0x7ba60d7e,
+    0x977b3baa, 0xd8daa19e, 0xd9b41379, 0xe7d180be, 0x104842ab, 0x2c66f598, 0xece3f63b, 0x52858237,
+    0x61400326, 0x34110474, 0xdb3e14ce, 0x75fdb54f, 0x03b660f2, 0x9febb0c2, 0xc51a1069, 0x2db46a0d,
+    0x8534c4fb, 0xf59e83d9, 0xe858595d, 0x7ba68a8f, 0xee7f167d, 0x9ac85471, 0x4f86aab6, 0x03a0815f,
+    0x7b4be3e2, 0xebf92b7a, 0xac456b4b, 0x7a7b4fc1, 0x40f41ee5, 0xd91ff285, 0xe8c112d2, 0xc6ffe8d1,
+    0x2b228db0, 0x3ce8f904, 0xdc90d2ab, 0x490d9087, 0x19fb6b80, 0x412102b2, 0x886479be, 0xb8365056,
+    0xe1b27ce4, 0x7b741ffc, 0xe329e859, 0x8b0d3c6a, 0x212ce315, 0x97c576c3, 0xc58bc367, 0x55bda78e,
+    0xbf92486b, 0x644d879e, 0x8a13f06e, 0x7c630a39, 0x522ebaad, 0x52dcb2a3, 0xd2ed54ac, 0x48652312,
+    0x59b5f0ee, 0x8026cc23, 0xada00101, 0x95ad0b59, 0x660fd2ac, 0xaebd2673, 0x87b0884b, 0xa97da1cd,
+    0x587056e0, 0x81e556ec, 0x4b916f68, 0xef630e25, 0x7a3200de, 0x78d28603, 0xe7ead47b, 0x7c73a117,
+    0x013e70ab, 0x18a66738, 0xcd66a933, 0xc8a4c722, 0x9ce38022, 0x40c510ce, 0x50614150, 0x3f629b67,
+    0xb1299301, 0x5532a162, 0x36b36692, 0xa10d733f, 0xb24b8408, 0x40f2bb43, 0xdeb50351, 0x4419fb58,
+    0xf142afec, 0x505074a4, 0x5946c5e3, 0x53714515, 0xb68aa8ee, 0x156ea0fd, 0x6810201f, 0xedfa85b7,
+    0x3981f1ef, 0xe284a895, 0xef0a2ee6, 0xd00cb07c, 0x410eeb13, 0x0e841cc3, 0x6aaa70e7, 0x4ad9d8a3,
+    0x82b40d46, 0x833fd7eb, 0xd0475865, 0x13dd8940, 0x0a0a206a, 0x141555bc, 0x104cb9ca, 0x17d263e3,
+    0xc8fa2668, 0xbc44cc7e, 0x23db1c15, 0xd1722c55, 0x89e08d4d, 0x851db760, 0x9b8a455b, 0x6c91d53a,
+    0xd88afeaf, 0x033bcc52, 0x753d0f25, 0x7f645cbd, 0xee2adbb0, 0x6d58918d, 0xbb445ed5, 0xea66a410,
+    0x692849c8, 0xae6690f6, 0x7d3e451a, 0xd658eb7e, 0xf92bd4d0, 0xbabfc6a5, 0xadf39ed0, 0x11f10d19,
+    0x2cb1df35, 0x95724a4d, 0x4a0926bc, 0x411df32d, 0x8a9e4a32, 0xd67719aa, 0x705c2e33, 0x5497f3c6,
+    0x675001fb, 0x80c84e7c, 0x997ddec3, 0x54a0c0dd, 0x3b97967c, 0x7792325e, 0xddd396f5, 0xc9a741be,
+    0xab4ea2d8, 0xf33da01b, 0x78e97a29, 0xfc73fb14, 0x3ce2ec2a, 0xc9f63c43, 0xb47f3373, 0xbc90abf8,
+    0x141664ff, 0xfbd43024, 0x158cd947, 0x6abd62e9, 0x28174877, 0x2fa2d60b, 0x144da788, 0x1e1f2a6f,
+    0x9a2a6a10, 0x0ad2c02e, 0x3246b9b8, 0x8c8395b6, 0xe51acc61, 0x715b9361, 0x8206df9d, 0x2682a1ca,
+    0x140a3bf0, 0x4772a270, 0x726228f4, 0x1c37d191, 0xca377c80, 0x23e0f402, 0xcdc4a4ab, 0x769bf522,
+    0x4912f275, 0xd725c59f, 0xb812f1a0, 0xba56d746, 0x8bfc4ae9, 0x00414602, 0xe5b21a71, 0xf5ca7c74,
+    0xbd63930d, 0x49fae1de, 0xcdf2553a, 0x49ed7775, 0x23b6aa5a, 0x2594a5f4, 0xae6bc6e1, 0x19c1b6d7,
+    0xfab1e6ec, 0x6564fbca, 0x47b5e379, 0xd90dd630, 0xb3289029, 0x3a23ed11, 0x4ad4fffd, 0xc49f465a,
+    0xb6bea3e5, 0xafb59dae, 0x04079769, 0x086f228b, 0xc6d50664, 0x39932f68, 0xee607c42, 0x41fb2416,
+    0xdce4e780, 0x9c48c34d, 0xa3c6bcdf, 0x7f0af452, 0xaf9b4116, 0x1f781e9e, 0x5f47eeba, 0x7722deed,
+    0x01efc3e3, 0x2b20c610, 0x36d167d7, 0xa538822a, 0xe058007d, 0x91967140, 0x49af5871, 0x93b32868,
+    0x35b154c2, 0xfa6c8a1c, 0x5af23abc, 0x44a196c1, 0x5ca23af4, 0x4495637c, 0xc344781c, 0xd44da01b,
+    0x790acef7, 0xb240e942, 0xaebd1205, 0x40477990, 0x5b1a8037, 0x54423001, 0x073ee653, 0xc386ead9,
+    0x37b543cf, 0xf6dc1f07, 0x63188bf3, 0xeb8c4874, 0xdd44a0fa, 0xf6a01254, 0xb638452b, 0x12a288cb,
+    0x7595e8d3, 0x48a8ddc5, 0x45b1658e, 0x3d559c8f, 0xbd2b4273, 0x2332c4b6, 0x3242c2d8, 0xfd2ccde9,
+    0xaf8fb004, 0xd97d7f7a, 0x77cf7ad0, 0x4dd2a3a1, 0x0d1c3e82, 0x43a982a7, 0xc3837468, 0x29c52c0e,
+    0x3d1c7d43, 0x03baf1fc, 0xfe5e9b9e, 0x12e83604, 0xf3cd355b, 0x27f9a5f5, 0x21095568, 0xa0883f9b,
+    0x2162430d, 0x593d33e3, 0x388cefb8, 0x2318f992, 0x8b47f5fe, 0x149e8b85, 0x5370eb85, 0x2864598c,
+    0xedcbff62, 0x355f03f6, 0x7f9a6561, 0x16488751, 0x3b0da12f, 0x8fe6d31e, 0x7d917e83, 0x20bd854e,
+    0x892f9b48, 0x0836a20a, 0x7297eb6f, 0x24977adf, 0x4777e0f8, 0x84040a7b, 0xbc516d0f, 0xda4cf4d1,
+    0x7a5aeb1d, 0x2324afbd, 0xa73fb914, 0x525df501, 0xf01c6316, 0x53bb9f5e, 0x29cf47d4, 0xeb6f9dbd,
+    0xf7adcba9, 0x66974a2d, 0x4ad9f888, 0x9a234650, 0x3cf17c03, 0x20c2e07e, 0x95941268, 0x7aa09ab5,
+    0xd9d17ff5, 0x903c62a9, 0x9c2eb943, 0x731f2686, 0x2103b152, 0xd2e15271, 0xb98e5ffb, 0xd090d2d8,
+    0x221025dc, 0x682e3846, 0xbc5871d8, 0x2e92e074, 0xe3d18bee, 0xc9eeb848, 0xf5f58145, 0xd742bfc6,
+    0x63464208, 0x2cf3b94d, 0xf272c895, 0x3ed2bda7, 0xd3463b68, 0xa3aef13d, 0x93fb3f96, 0x2b6f8b90,
+    0xdb6ec86e, 0xbd28d22e, 0x26aa41b1, 0xc534a641, 0xdb718d41, 0x179f22d6, 0x2dfbda6f, 0x2d75da16,
+    0xa1da04f0, 0x5f8133a7, 0x2d251191, 0xd9097c2f, 0xc4a4397c, 0xc12a3e5d, 0xf2528bf7, 0x9403be61,
+    0xc559f7e4, 0x0e96d457, 0x8da9bb2e, 0x5d32cb90, 0x14c620fe, 0x6f5a394f, 0x1c509e01, 0x68a42304,
+    0xeabb773b, 0xc2c37e2d, 0x042cafbf, 0xc39d1670, 0xe5aecdca, 0x1d2a8d9a, 0x94e5d590, 0xab58982c,
+    0x0d4efc04, 0xf3a5dac5, 0xe59e9ac0, 0x82bc724f, 0xc62c87f8, 0x9842406f, 0x98650dff, 0xfc4e0272,
+    0x14a8bdbc, 0x87b732d4, 0xbc40d5aa, 0x64ea2fd6, 0x3438b6a1, 0x933b7e26, 0x6003186d, 0x95ede5d4,
+    0xb092988c, 0xabd93ffd, 0x61dfcb19, 0x02f3c7ff, 0x9d7d46fb, 0x86eebe5c, 0xfc967fa9, 0xb4137b96,
+    0xfb387668, 0x537a52c1, 0x10bac9d9, 0x4bd52930, 0x128f5812, 0xac956ad4, 0xc7513f73, 0x8f58fbf8,
+    0xd1c7c55b, 0xe3570ba2, 0xa6114777, 0x8fd62e77, 0x458bfad8, 0x30f64d9f, 0x94935e3e, 0x128512b1,
+    0x29361754, 0xffabc3f1, 0x51831df7, 0xdd78b997, 0xfee46759, 0xbb8ebeeb, 0x7cfc4d08, 0xf99bbefd,
+    0x304d033b, 0xbd8654b1, 0x06d7f562, 0xd7a5a86f, 0x8082f7ad, 0x9cf69911, 0x30db596e, 0x86abbfc8,
+    0x0a4c19da, 0x48f975db, 0xca5427fb, 0x50c073e2, 0xf58ba673, 0x9455ef3a, 0x3e6adc75, 0x0fb51fb4,
+    0x77db8649, 0x7b289af0, 0xb32e7ea9, 0x8b30e04b, 0x3b7317d5, 0x91f32e83, 0xdf651808, 0xe3ac83c8,
+    0xcb9159a3, 0xa7a2cbe0, 0x11b1eee5, 0xd536747e, 0x6f7da385, 0xb622bab9, 0x65a9332c, 0x011a669b,
+    0x1d59dca5, 0xd5b99360, 0x4cecbfb0, 0xdd3041e9, 0x146e6a01, 0x7efdbd9d, 0x008f9091, 0x1b82b893,
+    0x028b4861, 0xb9748bc7, 0x261dcb86, 0x875e0b82, 0xa7877bc0, 0x6762fc50, 0x4c9e1222, 0xae0a0eee,
+    0xd6d9787e, 0x211ae4e7, 0xb574aa66, 0xfc9031ed, 0x4042251d, 0x4dd83b34, 0xd31e896f, 0x3e2bf8db,
+    0x50a119f9, 0xc9d49b35, 0xe95c28e4, 0x7b9195c3, 0x2fde4975, 0x8ac0c8df, 0x5d4c2662, 0x42894fee,
+    0x15b9a8b9, 0x397ff408, 0x38bac6c9, 0x057423bc, 0x96c02389, 0x641376fe, 0x90851312, 0xb9d91856,
+    0x9b4bf264, 0xdba58d7e, 0x930e527a, 0x729d3271, 0x697b46e2, 0x6a004aa0, 0x80558c1b, 0xe362cf00,
+    0x87097866, 0x8ad5ed6b, 0x148cd9ed, 0x67e92c84, 0x7f5afd53, 0x638bec62, 0x70b84b26, 0xa3d80beb,
+    0x908a95da, 0x7278622b, 0xc381c162, 0x08fbe9a7, 0xd256c2fa, 0x0684c8b0, 0xa9ca4c04, 0x4f4ee882,
+    0xb2466d4d, 0xaba0b1c3, 0x18d8d245, 0xbbe0ee1e, 0xce42ef17, 0xaeaf8a20, 0x3c5c6903, 0x971b1219,
+    0xc50f7dd6, 0xd57b448e, 0xe130bdda, 0x9af9cc84, 0x461f050a, 0xd15eae18, 0x1af41d6f, 0x67c83087,
+    0x546bfd58, 0xf6f492ff, 0x37884a8f, 0x4647a523, 0x08603368, 0x8c90caf9, 0xe5b9e1f4, 0x884e3ec8,
+    0x0f797177, 0x5c928805, 0x81667438, 0x8a7f3525, 0xb00ffc2d, 0xc3465b0f, 0xe6a5ac51, 0xf4f96072,
+    0x567f8202, 0x7815fc27, 0xd2d0d11d, 0xd6974684, 0xee3238b8, 0xf573daba, 0xfff09acc, 0xa25bd544,
+    0x0d182211, 0x24c737e7, 0xb95a4803, 0xabd0bd02, 0xd0acf85d, 0xa0d576fd, 0x71f58734, 0xa1d8763c,
+    0x7724435e, 0xbc3d170c, 0x596171eb, 0x1d37cb16, 0x6f8f299c, 0xa1deb1a6, 0x35161d16, 0x2db8e3b0,
+    0xb1db2604, 0x9b6e764c, 0xae173189, 0x4f8d790b, 0xa1eb42fb, 0xae5ffd6f, 0x225220f3, 0x8efc4f51,
+    0xe5f0289c, 0x70dc68da, 0xc574b2ad, 0x8b3f3cf4, 0xc5a1a07d, 0x9827b5ee, 0x901b52bf, 0xf2b11975,
+    0xd55e313c, 0x2689fa6a, 0xa7ebcd87, 0x4c346075, 0xe531685c, 0x17d36582, 0x76a4988a, 0xf44097b0,
+    0xa96e80fa, 0x786e1935, 0x5e254fee, 0x6787dabd, 0x6cacf003, 0x8cf244c8, 0xfb11af12, 0xcc6b0a40,
+    0xc36f0a08, 0xf84aa9c1, 0xb8ded968, 0x4ca3d583, 0xe172b3ed, 0xa2d891ff, 0x71248e9f, 0x3c844953,
+    0x2ecf1654, 0x62d01214, 0x75bbe51d, 0xeb272112, 0x04f7d385, 0x24906e64, 0xc4f699c6, 0xc717a45c,
+    0x6be07d98, 0x6ecb30e4, 0x860c72d1, 0xe1ef352c, 0x503382e9, 0xc4e75433, 0x662ab823, 0xc5e5ba2f,
+    0x3d901163, 0x38b5eee2, 0x01f82ab2, 0x26964384, 0x33a27f71, 0x091689d3, 0x2a75e3bb, 0x8ac50ee8,
+    0xf69885bd, 0x65b4a570, 0xdd904824, 0x64170ccf, 0xf2ce284f, 0x35b4f13e, 0x35d4dc88, 0x1761d10b,
+    0xc33587f5, 0x2c2dbb70, 0xaa4569a7, 0xcc75b5ec, 0xedbd2c03, 0x854094a2, 0x7be418a6, 0x5e5fa601,
+    0x2ac28c63, 0x1b20eeb8, 0x724454d7, 0x5757498a, 0x93d9d5ad, 0xa1502e38, 0x38bde7f1, 0x2149f890,
+    0x1d57af37, 0x915c8f9b, 0x8c411377, 0x672464cf, 0x1a628dd9, 0x1b0b754a, 0x1d0dd5c5, 0x67600ee9,
+    0x857b97a4, 0x244b8dec, 0xebea3b19, 0x44ac2059, 0xbffc32b0, 0x1db8571f, 0xce8d823b, 0x3ddcd973,
+    0x78c3a11e, 0x802c4960, 0xc878688e, 0x79941c87, 0x7d111d21, 0x3eb9aae2, 0x1ae2c2d3, 0x5e2a4a93,
+    0xa5a2bc81, 0xb010cffb, 0x7a4740a8, 0x8391e892, 0x80e4f814, 0x7267c1cc, 0x9ce2dee7, 0x2b9cb850,
+    0x1d272db7, 0x625202f0, 0xc4097ce0, 0x8b746041, 0x21b0c058, 0xed0aa9a2, 0xb9afa0f8, 0x228f583b,
+    0x9c743696, 0x8dad49e4, 0xc32bc609, 0xfcaaeb0b, 0xbcda2c10, 0xea6654b3, 0x10e84a86, 0x6234d09a,
+    0x95c861d9, 0xdfbe9402, 0xd0e05e0e, 0x08689bb1, 0xfcfbe922, 0xa1b769fb, 0xf76a09a4, 0x2839a14d,
+    0xe92d24a2, 0xc2a15636, 0x0d0a4602, 0xc41f4fe8, 0x256fd2ec, 0xab6e2b43, 0x7008c8b9, 0x3dbb6fb7,
+    0x3cce183c, 0xeebde37f, 0x43443fce, 0xf00bcdda, 0x502268b8, 0x7d9f3352, 0xaaf582b4, 0x7420a7d1,
+    0x1e51b983, 0x3bcce32f, 0xb4a62e46, 0xe785d7e2, 0x9f63edc4, 0x021363b3, 0xb004b1d3, 0xd4e6ffc8,
+    0x3936492b, 0x7565fbbd, 0x437afd8d, 0x9682af4f, 0x79d7897e, 0x47e11695, 0x682bfabb, 0x12c1c495,
+    0x16b651ad, 0x446a8a8c, 0xe0d5b59a, 0x69c1db8f, 0x5b6c57e2, 0x7de026b5, 0x3cb54511, 0xc3500f75,
+    0x1a6bedc5, 0xb75d96cb, 0x587099ff, 0xb8cedb50, 0x09cd36fd, 0xd1cfc526, 0x30ae2bf8, 0x14d2ccb6,
+    0x4499f905, 0x83f0008a, 0xc2e42237, 0x7669ddae, 0xe023e657, 0x8d0c4cc6, 0x59ef9261, 0x142159e2,
+    0x0669340c, 0x45fdffbd, 0xa67ff003, 0x256deab4, 0xc2ea7f6b, 0x8c8b8c37, 0x03dbf85c, 0x49602a39,
+    0x8431bb6c, 0x7658d5e3, 0xc2014664, 0xc8e0fe83, 0xa448bebd, 0xd1397c59, 0x4cc85a5f, 0xdfdde47c,
+    0x54363a5c, 0x5aa04713, 0x544919e7, 0xccf7d849, 0x5154a01c, 0x284106bf, 0x718d3555, 0xd90e65f5,
+    0xbf262456, 0x73f3aa8c, 0xa3f453c0, 0x662ed773, 0x09dfe345, 0xfe133c13, 0x368540fb, 0x2bb8b3aa,
+    0x44df3420, 0x39197408, 0x86e60fa0, 0x3fd1c037, 0xa2a3aa30, 0x173600a2, 0x6ae1d954, 0xc50be44d,
+    0xb24868d4, 0xe97f979b, 0x84b1ddd2, 0x4d518403, 0x35a177a3, 0xda49efd9, 0xc5e92303, 0xd3639cc8,
+    0xf997f16d, 0x860fbbed, 0x8da79386, 0x6c3b643a, 0xba3d2b1c, 0x08840454, 0xf97dea81, 0x9a3f9007,
+    0x4d51481f, 0x6f726612, 0xc6068666, 0x93fdec21, 0x2d496b4a, 0x6467b1a7, 0x57c5d4a3, 0x2602a972,
+    0x4552deac, 0x801a60a1, 0xa13c9ce0, 0xe688f2da, 0xf788a3dd, 0x1cc09970, 0x482206e8, 0x341ad43e,
+    0x78d0bab6, 0xe638a004, 0xff8f25ad, 0x5fce946e, 0x4189749e, 0x7321a161, 0x64b5b84d, 0xa3d075da,
+    0x00000000,
+    0xd1f125f4, 0xf4eea8f9, 0xe833287e, 0x04173c2c, 0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda,
+    0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000716718317496897347378381529\
+                         78190216899892655911508785116799651230841339877765150252188079784691427704832 */
+  { 0x00000000,
+    0x6843e08d, 0x9fef6841, 0x59ded04e, 0x3d435c99, 0xda14645d, 0x93323a69, 0x64816c6e, 0x15db42b6,
+    0x0fb2a33d, 0x8e148101, 0xce230a73, 0x1f3a027f, 0x6ac16645, 0xbcd042d4, 0x1c62180d, 0xed3f6578,
+    0xd3ac5c4a, 0xddcee20e, 0xc2f2840a, 0x8e76bdcd, 0x71a3a682, 0xbdd1e1d7, 0xeeb4b48c, 0xba162ec2,
+    0x4ff35b90, 0xa4ce0e97, 0x5f4b60ec, 0x8fbfb2cb, 0xc2edd840, 0xfab59dd9, 0xb335ed6c, 0x7f64010f,
+    0xc894f7a4, 0xbdd47011, 0x348d9540, 0x6750ea3a, 0xa1663d33, 0xb48697d2, 0xd41e403a, 0x0311be9c,
+    0x196b009c, 0x35453e60, 0x0d22f844, 0x24b18904, 0xd28604ad, 0x141c8e2e, 0xb66f1791, 0x81e35579,
+    0x686c2e77, 0x30b3aeb3, 0x3a93f786, 0x5464da78, 0xbff5bbf4, 0x7510378d, 0xf82776aa, 0xd054ceac,
+    0x241fc01a, 0x71cf141d, 0x95f13d0c, 0x66e061f7, 0x55345bbd, 0xd34c21b4, 0x77ad1faf, 0x2fc46995,
+    0xac405664, 0x2da714af, 0xada91aac, 0x7b0d44f7, 0x368696f9, 0x6d810428, 0x93270d3d, 0x37aec17d,
+    0xddc7f320, 0x4ddb70ee, 0x16fe3faf, 0x67919480, 0xcc8e7280, 0x1917b330, 0x428cd5b2, 0x86814616,
+    0x115bcbdc, 0x80a15174, 0x8503f683, 0x2ecbdb9f, 0x85221555, 0xfc8d8020, 0x8aeb67be, 0xfefb6d5d,
+    0x2ac9f143, 0x42851f71, 0x44cc9c7e, 0xc224fc4a, 0x5e765074, 0x13878c6d, 0xc07bb093, 0xe3ee1d05,
+    0x8363408b, 0xd7ce6306, 0x2beb7d70, 0x1d35393d, 0x87a84397, 0x89fce2d3, 0x829779bb, 0xca4f2e1f,
+    0xb4e5ba7f, 0x0f1244dd, 0xd305bd84, 0xaf09d483, 0x6e1fa854, 0x3561c955, 0xc62426d8, 0x5ef79eb1,
+    0x1ae7f3f0, 0x335340f9, 0x8d620b84, 0x371f4617, 0xaf6efee7, 0xa0b0c1bc, 0xbb072935, 0x4b7c0cb6,
+    0xc2d1ff41, 0x1cbb200a, 0x3ab80634, 0xd0bc6428, 0x1fc893ea, 0xe941b390, 0x1ed6d888, 0x2dd213f9,
+    0xfed08e6f, 0x8ddab716, 0x5446982a, 0xb50e46cd, 0x23196796, 0xf70e555a, 0x929bfb52, 0x33d9d5f4,
+    0xa84941b3, 0x0fd82124, 0xd26115ee, 0x6e0aeffd, 0xb4f7723a, 0xc4090fcd, 0xfe4c0d22, 0xd856c54b,
+    0xa5db0c20, 0xbcc0f4e9, 0x05295636, 0xb9c79b52, 0x78e72f81, 0x742b35d8, 0xe7ffa686, 0x0a3d1dec,
+    0x12aeabb1, 0x2c8e465a, 0x89d009e4, 0x09b5cce6, 0x714cb0e2, 0x9d5f0f51, 0xf7431fd9, 0xac64f68d,
+    0xedd2ea4b, 0x1330e58d, 0x67d4c1e0, 0x7f53c7d2, 0xea2a3ab0, 0x3ab4bb06, 0xbe47647d, 0xcecce5db,
+    0xc0bb3006, 0x90fc9aa8, 0x3aa082c4, 0x56301c48, 0x73b654fe, 0xf2833689, 0x5e70ec4c, 0x17030ee4,
+    0xfa45a611, 0xee6f8a18, 0xe10dd774, 0x0a5b2ba3, 0x13537c99, 0x0d7d71a3, 0x9cdf0d4e, 0xf3e8feee,
+    0x1399f440, 0xd7be86f9, 0x193faa7b, 0xd112651e, 0xc3aa01db, 0x712f24de, 0x0b28c1c8, 0xc7e2163c,
+    0x253d24b6, 0x93a2db38, 0x0f62c8b0, 0x16006e89, 0x481a5139, 0xbf107096, 0xc826692c, 0x8ea3c00b,
+    0x47e90a5f, 0xe3d7ee3b, 0x9d960011, 0x0178c27a, 0xd0ebfc34, 0x07778ea2, 0x49f3c5c5, 0xceb2832a,
+    0x7ff3d461, 0x0f16321d, 0x887bfc13, 0x689b1586, 0x58cc274c, 0x3fc5fd98, 0x2165b69b, 0x2366919e,
+    0xc668e5f6, 0xccef7f92, 0xefe01322, 0x332c1071, 0xb6181ec3, 0xb2fb02d4, 0x89e6ab16, 0x5f5b642a,
+    0xf4a9b3b9, 0xb8e9a7cc, 0x384c0c29, 0x2eed8f62, 0x10854ded, 0x13f832f9, 0xb78e3bcf, 0x6bc55ecc,
+    0x1a53c15a, 0x0d2af7cd, 0xabfd93b7, 0x7ddf43f4, 0x6894ab5a, 0x87a4d778, 0x423c8eb2, 0x5599f250,
+    0xa4661b61, 0x5791b2ea, 0xb262b400, 0x522d4aad, 0x5e92a2e3, 0xb9981999, 0x3a7c038f, 0x8a31b901,
+    0x97fc2023, 0xda258e65, 0x6b13f357, 0x9ea99185, 0x92489037, 0x96164967, 0x76da08bc, 0x1b175527,
+    0x3f4ef782, 0xa2689287, 0x0893b00a, 0x222fa43c, 0xf13f20e6, 0xc85c9f6e, 0xcb7d6e9b, 0x9943450b,
+    0xa54d9418, 0xeef94fa5, 0x00f34235, 0xdcdda011, 0xb83ee57a, 0x24162107, 0xe803ac80, 0x3e312733,
+    0x70362f40, 0xee708cde, 0x148f37cf, 0x4619bd64, 0x6ee82263, 0xe65b2a68, 0xbaa4ca64, 0xe1f88956,
+    0x863103f5, 0xf1a8d433, 0x47b5e5e8, 0x091ffe59, 0x70f67876, 0x6f922f4a, 0x5ffaabd1, 0x5f32c837,
+    0xe80557fe, 0xbf89c680, 0x41becece, 0x4a4714c1, 0x44a9638d, 0x3bc7b180, 0xe8b6c30f, 0x7bd518b3,
+    0xac84d900, 0x53601aa3, 0xf20e8ca0, 0x60debe15, 0xf57de754, 0x19144cdb, 0xc5cb7869, 0x5bbdd51f,
+    0x9fe6311a, 0xc3a75336, 0xf49e62ec, 0x0cb607ec, 0x11776039, 0xd228e9e7, 0xcd076e2e, 0x651f7ffc,
+    0x64cc0267, 0x8a2cf757, 0x554ad95b, 0x4bc65ca0, 0xcb8eaace, 0xa1078f06, 0x2732d3e6, 0xcb569871,
+    0xe5e9666e, 0x023102d6, 0xa688af8a, 0x6410b275, 0xec567e0c, 0x934acbe3, 0xb9d96df3, 0x210f5bbf,
+    0xbeb48990, 0x3500f870, 0x3671e4b6, 0x942ff5f6, 0x706d36b7, 0x656bc5b2, 0xcf162fdc, 0xd4830271,
+    0xfc05385d, 0x12032a71, 0x5f7d6f78, 0x961cfdd1, 0xaa94a13a, 0x5bb9bac9, 0x57b57e2f, 0x6aec2634,
+    0xdbf0320c, 0xb41a33c2, 0x54a141d5, 0xf557f2de, 0x0d7464d9, 0x0fdc7262, 0xc0a3cd05, 0xf653a086,
+    0x0659ef0e, 0x8006d1fb, 0x6c3f89ad, 0x5c0965ae, 0x99cbb782, 0x29915b2f, 0x2fce0d3d, 0x81529090,
+    0x546471f0, 0x8b0ae91a, 0xfd1c28e7, 0x7057944b, 0x42874ee3, 0xa77651a9, 0x49a71fd9, 0xfc04381e,
+    0x69be7f3a, 0x05bb3aca, 0x37d2f133, 0xf2e6ab68, 0xe21fa8f4, 0x1f7799b8, 0x4baa4182, 0x73da3593,
+    0x4ec7d858, 0x57b2ed66, 0x8a329683, 0x24678743, 0x181cd547, 0xe80c082f, 0x104a8442, 0xf070e8f4,
+    0xbcf6833a, 0x5984176f, 0xd6fe9fe3, 0x61595815, 0x025849ce, 0x1610c592, 0x7a1e206b, 0x1ba9d16d,
+    0x9d1225d2, 0x0e878e71, 0xa0d9dc32, 0xd69cefcf, 0x04982574, 0xd9c63979, 0xdbf4dcc8, 0xdaf2647c,
+    0xb4b4d43a, 0x4b04c5cd, 0x91bf1e73, 0x54446cdf, 0x80aadc8e, 0x4f1c91cb, 0xe14da8a4, 0x4a944c5a,
+    0x2771885e, 0xb7b095e4, 0xbaaeed93, 0x1e6c1620, 0x10546fc9, 0x4ef32db7, 0xe25142b5, 0x010f0f51,
+    0x6667a0f1, 0x57104de5, 0x0fcbd0ab, 0x2f037f73, 0x74f97e3d, 0x99ad4dfa, 0xd99682ea, 0xb2488604,
+    0x22cb5115, 0x0e6eba77, 0x102a3207, 0x139deff1, 0x7007750d, 0x03a1fd97, 0x9f4b7c8a, 0x17f1e9c4,
+    0x40bce228, 0x39172b1b, 0x8d6c9fa2, 0x0b9a67d5, 0xc40b2b7e, 0x0510f8ca, 0x080b9ac6, 0xb689b40c,
+    0x2dd27e34, 0x4a3c1d0e, 0xb2edcb58, 0x840c7151, 0x5b353cb8, 0x97c06057, 0x7d053b84, 0xc3e545a5,
+    0x3d04bee0, 0x5927ec5e, 0xe1fdbab5, 0xb241c85b, 0x28d02827, 0xf025ad2a, 0xed4bd565, 0x222bfe11,
+    0x3b4eb703, 0x90109529, 0x55cb273e, 0x1d7c26b6, 0x1dfbee38, 0x21630e31, 0x337c471a, 0x38ce4e08,
+    0x4a512366, 0x31a0f55e, 0x398cee6c, 0x842ecad0, 0x0035ecec, 0xd8687402, 0xe68619a1, 0x77d4392d,
+    0xca943d15, 0x3e1acc12, 0xe5077278, 0xdb4864d1, 0x915f36d9, 0x09c00189, 0x05a4c24b, 0x3e6636a9,
+    0xe71cfa3d, 0xa168651e, 0x8830ab0e, 0x927d399b, 0x0edb8ddd, 0x47992b13, 0x0b80fa88, 0xc4064525,
+    0x6fb8d36e, 0xa75f340a, 0x641f888f, 0x62e13f54, 0x9aba3e05, 0x9c637db7, 0x6ac95bec, 0x54102bc5,
+    0x73f9bd15, 0x8adbf611, 0x0a94954a, 0x2aca0ec3, 0xf972f90a, 0x1439bb45, 0x50073a95, 0x962e1527,
+    0xd062dcc8, 0x4b5d4ac5, 0xfc51c8dd, 0x17d767c9, 0xf00c14fe, 0xe7078654, 0x69472dbc, 0x744fb32b,
+    0xe1120e44, 0x8e63c90d, 0x5a8b114b, 0xd8b7f659, 0xdd4124ba, 0xef524833, 0xf1dc124d, 0x6d959c97,
+    0x905ae638, 0x86c48a98, 0x63d7ec07, 0x3b00a05f, 0x8d28ecf6, 0x340f89ee, 0xff65b9f3, 0xce0449ff,
+    0xa8b79c2d, 0x7fa83c18, 0x6e0e12d4, 0x66414610, 0x7a775b52, 0xf71c0ad3, 0x0dd8dc22, 0xc3f09cba,
+    0x51ca1713, 0xa627b145, 0x64b48db4, 0x6f41bb9c, 0xf63cb0ba, 0xe0690a5b, 0xfafc06bb, 0x98642935,
+    0xae59f146, 0xaae82b51, 0x0dab77ba, 0x02895ec5, 0x77cf2a3c, 0xead4951b, 0xc53c7ce5, 0x70e174d7,
+    0xde84912e, 0x0972ca25, 0xcaad47d2, 0x1d36ed36, 0x1caa60de, 0xbc4eb0fe, 0xd5b5a474, 0x25297880,
+    0x0ee5f7e9, 0x99fde273, 0xaf973308, 0x64d5c1c2, 0xa14cda59, 0x70d4d3ae, 0x572be038, 0x4e330a92,
+    0xdd3686bd, 0x3b79a511, 0x8db4e61e, 0xc53db8b7, 0x6b48e498, 0x19da3886, 0x3700c7e0, 0x00194632,
+    0x75c6b0af, 0x0693ef41, 0xb918bff0, 0x098c66eb, 0xe7fd87c9, 0xe657f5eb, 0xcd97959a, 0xc10e4a66,
+    0xe7603108, 0x6928db42, 0x02f877ba, 0x33ffdb30, 0x61cf8ccd, 0xb3e93e95, 0x8e6937a3, 0xb48219c8,
+    0xabcff1eb, 0x731567d4, 0xa3533545, 0x85bf7d66, 0x546cae83, 0x96ad3469, 0x0c45c57d, 0x1ecb0555,
+    0x0cc167bf, 0x226e8557, 0x0883ffb9, 0x1fc83c77, 0x5dd1fb6e, 0xb3d04127, 0xdd3c9007, 0xdc53298a,
+    0x0133fa31, 0xb938e5ed, 0x053d69fa, 0x2f03f7de, 0x1e8762ce, 0xfcf49176, 0x0be168d6, 0x41de5e24,
+    0xc08fcd47, 0xf90757e6, 0x95df9f29, 0xea454302, 0x2ad55f89, 0xbce9726d, 0xb4ed6b09, 0x5aefdef7,
+    0xaebe2364, 0xe601d883, 0x63b3cdd3, 0x61e6beb0, 0x466ca33d, 0xdb451585, 0xa90346bf, 0xd0ebb6ab,
+    0xaa49e768, 0x97909f6e, 0xe0169de5, 0xaf08ff43, 0x07883ef0, 0x38029a85, 0x7fc10f4d, 0xf5de0b26,
+    0x672efdce, 0x75be08a7, 0x51821169, 0xb31b6723, 0x970d362b, 0x5c8deef3, 0x615f3be4, 0x98ac2308,
+    0xcd6e0f71, 0xea6e4a73, 0x460db13e, 0x4dba602f, 0x4994d8ee, 0xd5301ed0, 0x96abae85, 0xbce992de,
+    0xa006751a, 0xe3768e55, 0x789c3795, 0x8e3d6378, 0x44768fc5, 0xea29956f, 0xb3a803b2, 0x8484e25b,
+    0x3965957d, 0x68a97787, 0x6f190935, 0x34fb5784, 0xfbba0539, 0x9badba33, 0xfb8a86f5, 0x9f168d91,
+    0x3c38c934, 0x4e861869, 0x33326e68, 0xb695205d, 0xa5d09cd1, 0x5f07f57d, 0x71a9e4c4, 0xa2d76378,
+    0xa02f2f26, 0x10122cdf, 0x4ca6e498, 0xef97b979, 0xee9a44bf, 0x4e56da11, 0xdd55658f, 0x8177b1d1,
+    0xf47c9523, 0xac665983, 0x1f61e395, 0x9bd106d4, 0x4444805b, 0xa2fda752, 0x096994f6, 0xf8752370,
+    0x2f496302, 0x9124c402, 0x80a6f815, 0xc9fc4916, 0x3da554df, 0x41d3426a, 0xd3e579b0, 0x5fcacfc2,
+    0xfb7666cc, 0x9def1495, 0x69e4cdd1, 0x8a54e516, 0x8392554d, 0xc1bd676b, 0x58fef2e3, 0x490c9363,
+    0x02a7a8f3, 0x5f49b4a3, 0x1555236d, 0x434fdf76, 0xc28ac9b9, 0x67bc2e9a, 0x9289b76f, 0x0c06323b,
+    0x8a64dd07, 0xc55604a4, 0x7bade142, 0x4aee4beb, 0xab35c7ff, 0x20aa57e9, 0x4342b330, 0x9ec2a53b,
+    0x583dd783, 0xf030d8a6, 0xaa4c8cc6, 0x1c5600ce, 0x63873125, 0xab2de04c, 0x7dad2c19, 0x0b7a14d8,
+    0x938527d2, 0xe008169d, 0xb9d47be7, 0xa79eda9e, 0xb6777e91, 0x7a1abd6b, 0x986d7ea2, 0x467014b7,
+    0x219feb5e, 0xcdbd98e9, 0xd1843d19, 0xaf3f7b4c, 0x0031ae53, 0x663c27fb, 0xececa0bf, 0x46846d20,
+    0x2f49cd78, 0xe124c4a8, 0x38f40a2d, 0x1e6abcfe, 0xebe0e3f5, 0xe90ebb0b, 0x0a39d0bc, 0x8b7d1e00,
+    0x2ced22bc, 0x09d4c3f7, 0x749c10b7, 0x8b6f48c0, 0xee299870, 0x9c9530e3, 0xa206c7ae, 0x5594ea30,
+    0xfad2addc, 0xfad50690, 0x6fcc6609, 0xe5fc97ca, 0x381f478d, 0x9483e21c, 0x83eb6910, 0x937f4b63,
+    0xa6ad5379, 0x2de955c7, 0xb78d8598, 0xb2a3e794, 0x35c9ec99, 0x1f9ca94a, 0xf61ce046, 0x8ecca5d8,
+    0x7bd25361, 0x6015d717, 0xd4371e9e, 0x11a75f74, 0xe7cd8da0, 0x3778e5c9, 0xa05b9da8, 0x4bc56f01,
+    0xd501c381, 0xe2874bad, 0x3e02b510, 0x8ce61d91, 0xacf74d83, 0xe82baee1, 0x15db7a5f, 0xce10f2e1,
+    0x39acb24f, 0x65314da8, 0xb8569c19, 0x769ccb97, 0xb592d790, 0xbc1f527c, 0xb676ee01, 0xbd932971,
+    0x40abe146, 0x82ddb4e2, 0x4701fc6f, 0x8b3dd1a8, 0xb6ca0b83, 0x7b5bd9d8, 0xae93ece3, 0x46f69e96,
+    0xb403a6dc, 0xff52a1f1, 0x5660ff93, 0x1252d2a5, 0x4763f1e5, 0xbeff6f2f, 0x771b6988, 0xe66594a6,
+    0xd11ab9a6, 0x274248af, 0x7d8b21dc, 0xf9855cac, 0x715ffa82, 0x9f8c5bb4, 0x59a9a25a, 0x438f853f,
+    0x95e35886, 0x272c8d50, 0xc8d545cd, 0x5562ce04, 0xc6c44258, 0xece0a244, 0x0bbf14f0, 0x072d0d1d,
+    0x1ea3ba4d, 0x912e4b34, 0xe22f5a90, 0x8f623828, 0x90719541, 0xe46f3494, 0xbc7d2636, 0x685f8d55,
+    0x386e4355, 0x2d458e13, 0x1da3f581, 0xc145bca9, 0xf906c853, 0x418a6a65, 0x7d2a2b26, 0x5f43b62e,
+    0x99723c20, 0x949ffc0c, 0x93633c3f, 0x6a9e0817, 0xf2044fa9, 0x02c5eff1, 0x6a1338bc, 0x278ad09b,
+    0x7b3c7105, 0xebdb7b17, 0x82cec17b, 0xa15d62ee, 0x6344779a, 0x3dd9edc3, 0x023bbbe2, 0x27d58377,
+    0x094a9c19, 0xe246567f, 0x6345205b, 0xa37ff581, 0x57666e5b, 0x31a8a447, 0x2380b2ea, 0x29bb972b,
+    0x8e92ad7e, 0x2b694b77, 0x1560c269, 0xfb58913f, 0x81f9a328, 0x2f89105c, 0xaff1770d, 0xbbfdfcdb,
+    0x314cdacd, 0x6288e4e6, 0x45d30ef6, 0x20b7a3aa, 0x61bec595, 0x65d0f17a, 0xf7042407, 0xd8a1d3e8,
+    0x15b77427, 0xfd562a98, 0x79d7b269, 0xa9db0262, 0xa50c50e3, 0x94a7bbf8, 0x4401b878, 0xdbed05a5,
+    0x0bafd98b, 0x547221da, 0x72f67aa9, 0x2549a57f, 0xc2c5e79f, 0x7a2195d0, 0x56bc4977, 0x0ca80ec6,
+    0x3007c93b, 0x35c2b21c, 0x8232f889, 0x5ea42423, 0x557c7e58, 0x2944a0ad, 0xfe06c9a4, 0x9f96f88d,
+    0x713b73d5, 0x63cddf41, 0x6e414462, 0x2207a007, 0x674c6647, 0xd54e4dc8, 0x674729bc, 0xf8a849db,
+    0x1af2727a, 0x911e0f9e, 0x1203630a, 0xeb0b6ead, 0x23085f7c, 0x6428f39c, 0x838db502, 0x1b529289,
+    0xe0870079, 0x5ca676f1, 0x2dba1085, 0xf492f277, 0x9b16a73b, 0xced568cb, 0x567c8e6f, 0x3e25c9f8,
+    0x96212a65, 0xb0b71a64, 0x6d1aaa7e, 0x02ff626d, 0xc7f74eef, 0x18f89e44, 0x67b08d52, 0x96b51dd9,
+    0xab9d9a7d, 0xf95d6e7f, 0x37350886, 0x5efaeee8, 0x7934aa05, 0x73296c0f, 0x4b4ecb3c, 0xe199d4e5,
+    0x1abd03a7, 0x954c6e03, 0x52ef6ed6, 0x69e93d32, 0x63a23547, 0x5d1e4231, 0x20262287, 0x11d253c6,
+    0x5ad291db, 0x8e5692c8, 0xd43cea4d, 0x1fbe2244, 0xc43555dc, 0xd08dcd61, 0xc009b202, 0x4d08b844,
+    0xcd9f8e89, 0x00c27916, 0xec0426c1, 0xd5c64568, 0xcebd1e19, 0xb77341bf, 0xe8398528, 0x6dbf22bf,
+    0xaaed402d, 0x4952d4d8, 0x39a18075, 0xeafc489f, 0x77fc2100, 0x2eee3142, 0xd87be321, 0x61176014,
+    0xf4a4a1fa, 0x4dc3c059, 0xd0e25623, 0x95257525, 0x72392a50, 0x50266816, 0x4b4b0c42, 0xdba853d2,
+    0x6f50e0b7, 0x42785be5, 0x4a682463, 0xf9b85995, 0x44e7906f, 0x5eae6744, 0x5367cfe6, 0xccc8b004,
+    0x00000000,
+    0xe8f892f9, 0x7a77547c, 0x7419943f, 0x020b9e16, 0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d,
+    0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000358359158748448673689190764\
+                         89095108449946327955754392558399825615420669938882575126094039892345713852416 */
+  { 0x00000000,
+    0xdf8d104f, 0x70ef33c7, 0x8c338b38, 0x7da95d24, 0x71a0fdb4, 0x73b0f15a, 0xed7a0c71, 0xed9d694c,
+    0x75b79d32, 0x001ff7ec, 0x2eb769c0, 0x7a09ceee, 0xa38e9a87, 0x8d32b648, 0x3c8b93df, 0xe64c6cb4,
+    0x711c468d, 0xad273f62, 0x8210ebbd, 0x0aa8b3c9, 0x3d1799ff, 0xed7846d4, 0xacd2675d, 0xd62d7949,
+    0xdfabc40f, 0xc8ab31c2, 0xfeaab62b, 0x8a52218f, 0x106e8b49, 0xa4c0a8d7, 0xd5c4c95e, 0xe94b1c59,
+    0x853f00fb, 0x945b3dde, 0x1b9d125d, 0x1c646a9b, 0xdd127bc3, 0x8da03fb2, 0x97b66266, 0x6e10609f,
+    0x8c07aaac, 0xf7bb51e9, 0x4c909631, 0x62793ed6, 0x0b77575b, 0x2679e757, 0xd1b3c5f0, 0xac934574,
+    0x79798795, 0x422a9112, 0xa7f1ba71, 0x032997b2, 0xcec19bd6, 0x39b9043f, 0xad30b5f9, 0x160d8909,
+    0xee37fe09, 0xe4f5bf65, 0xb5205ecb, 0x14dfb251, 0xea6e1891, 0x223cb8ab, 0x10597421, 0x7989d6c9,
+    0x99397f58, 0x3bae93c9, 0x9d42005d, 0xf070fd0a, 0x710dfb6d, 0xcfffc6a6, 0x977bd245, 0x74836b77,
+    0x8732eb64, 0x2c6e7603, 0x820453ab, 0x6efa17b8, 0x97dce8c4, 0xbc4eb4fc, 0xc7a71130, 0xa22e5915,
+    0x3720b5f5, 0xabc01300, 0x0e459461, 0xc60681bd, 0x35de4ed5, 0x544b0d62, 0x74204d95, 0x096624e8,
+    0x4a081a8a, 0xdcc7e88a, 0xc819bff9, 0x9904a312, 0x45660c65, 0x0f53b8d4, 0x927e4d53, 0x9c5f4120,
+    0x2bb18ac9, 0xe23df602, 0x99f049af, 0xbd317d77, 0x6d43c323, 0xb16196d9, 0x01441095, 0x565967b0,
+    0x730a0295, 0xf0307ced, 0xd7a2ae90, 0xe6e8cbfd, 0x6563538d, 0xc530a068, 0x0c7201dd, 0x8e21b0ba,
+    0x34673380, 0x4db36baf, 0x95ab2e74, 0x4d2d7feb, 0xe2d215e9, 0xbf78d86c, 0x5e5688bf, 0x09428b5b,
+    0x7c4bdb72, 0xb7c19967, 0xc403e3ba, 0x3629a57e, 0x78f67bd9, 0x701e29e8, 0x5aceb749, 0x3f6918fa,
+    0x4da49f63, 0x16031839, 0x268095ab, 0x1e6ed8b2, 0xf3470965, 0x650c0761, 0x5e5426a5, 0x73e343b1,
+    0xc2cc20c4, 0x22597439, 0x513156dd, 0x484acc50, 0xdff0c36f, 0x8de2fad4, 0xd767a2cd, 0x90d3c111,
+    0xe27fbbe1, 0xb2fb7363, 0x1ce1bd1f, 0x5d5af920, 0x41d7573b, 0x77aed52a, 0xba31fb49, 0x02d93a21,
+    0xe901a8d8, 0xf982d856, 0x519263ef, 0x69f2a098, 0xc8bb23dd, 0xf6bb6c99, 0xb915488d, 0xcdad8891,
+    0x4159823a, 0xc4db76ea, 0x5b7d97ff, 0x166450aa, 0x3a95dc70, 0xa860adab, 0x189d1f79, 0x335b6c95,
+    0x1d8a4834, 0x7ab47f02, 0x8da2e552, 0xa986a4a6, 0x2bebadb1, 0x8bd84728, 0x78e85d60, 0xdf575430,
+    0xf89fbdf0, 0x315872c6, 0xe9fbc573, 0x58180d1b, 0x256d3599, 0x22863980, 0x0a64f821, 0x170fc8c9,
+    0xb8b70dfb, 0x77db8aee, 0xe9083c4c, 0x11e8ce2c, 0x359d3eda, 0x199b4cf2, 0x839cb78d, 0x9d283ace,
+    0x7e089e58, 0x47b92b92, 0x3a947fbe, 0x4cb574c7, 0xbd45d2fb, 0x54aa32d9, 0xb13b6dd9, 0xda05642a,
+    0xba62d62a, 0xe91ed1c4, 0xe6abda2c, 0x321541cb, 0xbe5986ac, 0x676d401e, 0xf969ccff, 0xf1c145d6,
+    0x821126c0, 0x4a6e05df, 0xdf562b18, 0x28771bae, 0x28666d75, 0x69d10ff5, 0x85bb4f86, 0xa257fdc5,
+    0x678dda4c, 0x3d3a9883, 0x4467d787, 0xf5eadd46, 0x8e37328d, 0xfb2dda4f, 0xdce3624f, 0xece101e8,
+    0xca4d9b28, 0xb0e078dc, 0x33ce5b63, 0x117de0c2, 0xe11926cb, 0x71b525c1, 0x8849e380, 0x22bce289,
+    0x326d369c, 0x5d206dbb, 0xa29950f6, 0x61eb8bca, 0x85dd54e6, 0x283001d4, 0xe4e68319, 0x9690b855,
+    0x53d91e00, 0x7add9c47, 0x9e96ea8e, 0x6828d20f, 0xec1c2789, 0x8e14dd44, 0xf3e493de, 0x2f4e15ef,
+    0x84699c85, 0x7798f08d, 0x52f1f142, 0xc7cee2ff, 0x3600e887, 0x4d1ac040, 0x537c5612, 0xb783de17,
+    0xb53eb742, 0xf8f3fbc8, 0xa47a29fc, 0xbbd22927, 0x309df5e8, 0x93ef76ac, 0x7d70a111, 0x4f1c3bfd,
+    0xb45121f1, 0x8fd60122, 0xcbb37502, 0x98d21996, 0xd21c160d, 0x2d90ba6b, 0x967c9c44, 0x18ed2d97,
+    0xc2e4cb5d, 0xda928790, 0xdf42affd, 0xf6d00f6f, 0xd9b3d020, 0x6f59ac59, 0xb7a7cd56, 0xc86a79b4,
+    0x982854c6, 0x187f6dd9, 0x9ff6ec96, 0x8a78a9d2, 0x3ed8cd15, 0xcd88466d, 0x7e37a14b, 0xe7a07ea8,
+    0x5ab7e2e5, 0x8debce08, 0x818d8970, 0x7c319cdc, 0x129b0be6, 0xd475a37f, 0x13b37339, 0xade3b39d,
+    0x93865319, 0x1db6d035, 0x8fb39950, 0x9354608c, 0xa3c2bd16, 0xbb103037, 0xb14b8edb, 0xf3473dbe,
+    0x7445cb57, 0xb2055bbc, 0x7219eb83, 0x9e614aac, 0xd55af163, 0x7694a8f3, 0x43458c8d, 0xc5f37a9b,
+    0x7067127b, 0x679c84b4, 0x2ac65665, 0x40ed0498, 0x08bb6bb8, 0xbef2769e, 0xc3426f80, 0x34cb3091,
+    0x02c34a04, 0xfa0b66a5, 0xef409149, 0xa14865e0, 0xccfa5eec, 0x6e286ab5, 0xa1c6452b, 0x6dfd81e0,
+    0xb88ee8e7, 0x8c2f3229, 0x196bb7dc, 0x8c2e34de, 0x68aab028, 0x361975d0, 0xfe7f0a47, 0x2d617391,
+    0x7da126aa, 0xa5c28b64, 0x5e9a8fbd, 0x65cfca2c, 0x950e53a9, 0xf0bc641d, 0x03409e2d, 0x765b3934,
+    0x73a4b79b, 0xd7cd1abc, 0xe2aee022, 0xabd907a8, 0x08111669, 0xcc9a3d78, 0x6cd56dac, 0x8f911504,
+    0xe596c849, 0x18c8283e, 0xedd811d2, 0xb4b5bd09, 0x75a11adc, 0x1c52e5b3, 0x98e35ee0, 0xe6d414bf,
+    0x22452533, 0x2810155a, 0x83e94244, 0x8e0fcbbf, 0xe422fa86, 0x03deaaf8, 0x92d7dec4, 0x43280efe,
+    0xe3b72171, 0x081af7d0, 0x26299f7a, 0xb803c79f, 0xf57ce5f5, 0x1086b4b7, 0x94d466d0, 0xc80a5b4d,
+    0xfa53f1d9, 0x8f31f291, 0x12251d2a, 0x05464aa9, 0x6f1b4d60, 0x864ff004, 0xb067b626, 0x971382b1,
+    0xe97a3665, 0xc095ea41, 0xc8ea2f5a, 0x815c51fb, 0x0aefe6ad, 0x64d8ed8b, 0xca5579ad, 0xa727b076,
+    0x12e0c8c6, 0xd2d190b0, 0x2910ea42, 0x73a333b5, 0xe1385dca, 0xef59c07a, 0xefe31f99, 0x2d793f5a,
+    0x4d9bfe79, 0x2003d0fc, 0xc063b606, 0xd09643e1, 0xc40142e6, 0xe05c421f, 0xb5693359, 0x339548ef,
+    0xed64e733, 0xc699e969, 0xd350e911, 0x2b4b7ec1, 0xad12f4c3, 0x31e22b40, 0x2ba22f60, 0x951d3882,
+    0x887914db, 0x28219eca, 0xf5e695e9, 0xa97a741d, 0x47cf735f, 0x2ab9a44c, 0xd92e30b3, 0x93a42cec,
+    0xbf4ccccf, 0x6e73c64c, 0x85b23fec, 0x876679a3, 0x14175189, 0x4c24e391, 0xb0ef7975, 0x6752bf35,
+    0x2862d52b, 0x8407375a, 0x0a2394fb, 0x289b45fb, 0x7d67a92a, 0xb4440b84, 0xd260e1a7, 0xeb0da0c8,
+    0x72294f24, 0x903ae784, 0xf0122943, 0xb4994e1f, 0xf5153d50, 0x38ba99c6, 0xfeff1ecf, 0x25cd3134,
+    0x5ad20711, 0x123f2764, 0x68f7960a, 0x1357e557, 0x9fcbdc69, 0x0c149367, 0xc6041580, 0x381ddbef,
+    0xf4d0e8df, 0x86d1b041, 0x850962cb, 0x14dd7b97, 0x05ca8001, 0x389e6a87, 0x7b043a15, 0xb7afb4a5,
+    0x240923de, 0x76bdbb8f, 0x422eb5a6, 0x4f6f4bb2, 0x3d829180, 0xc8109450, 0x0f492db9, 0x46fe5e16,
+    0xc7ab63b9, 0x73d2f048, 0x78f68cd8, 0x9b7d055d, 0x687d3222, 0x70e94d4c, 0x9a20e267, 0xbdcf6f61,
+    0x799c7986, 0x46fecc7f, 0xfc74d3de, 0xcc73af8f, 0x6aebaf17, 0xce7aea4b, 0x0f9c4c0c, 0x59e8a1ac,
+    0x7499c698, 0xabb5baee, 0xd32980f5, 0x45995f76, 0x493c919d, 0x94d805f4, 0xb15efeb3, 0x8d1a0cd7,
+    0xc113c88a, 0x2157f9f6, 0x1004f13f, 0xaa6c2323, 0x5bd7fd1d, 0x490f20a7, 0x81724bcb, 0x8d0b9682,
+    0x9b86c702, 0xcba17e83, 0x04aa23ed, 0xb652dae0, 0x0814714e, 0xf59663a5, 0xd6fd592c, 0x8929d171,
+    0x1e2a14ba, 0x0688d887, 0x320ade45, 0xabeabd10, 0x6da89a34, 0x7bfbff0d, 0x269fe9d0, 0xa073a7d9,
+    0x887accfd, 0x14f3e007, 0x06cd500a, 0x6d4bcb78, 0xaa0d0e97, 0x79ab391d, 0x76a15b01, 0xcecbc077,
+    0x42deeff8, 0x712210ef, 0xb6b3da13, 0x9fe49621, 0xb7de7985, 0x45fb6c8c, 0x9b3e643c, 0xcb07c7c7,
+    0x89a4d748, 0xea3c249f, 0xd54ab69f, 0x67035413, 0xb31a4c2b, 0xa08b6ccf, 0x166c6e21, 0x41380980,
+    0x4cd6ac56, 0x28cfec44, 0x98a58b64, 0x36abf0dc, 0x82c1dcaf, 0xa9f984a8, 0xb43a9c94, 0x3af28dac,
+    0x3b404833, 0x4715dc47, 0x76097cd2, 0xe71384e1, 0x50bd4ac3, 0x494c1eec, 0xf96e5015, 0x07cfa396,
+    0x1b75fad9, 0xa1bdb013, 0xaee71b68, 0x8682a7b0, 0xc1689ec4, 0xd1debc9c, 0x1d8d83ce, 0x72b6f3f3,
+    0xbb47f546, 0x0c0d314b, 0xb4c6b7cd, 0x87e3219e, 0x6681dc3c, 0xe99e63a0, 0xd80a8ef2, 0xda84fd21,
+    0xca6fae70, 0x6c9dc3fe, 0xcc81f26b, 0x1ab3b86a, 0x4dc69134, 0x096ff99c, 0x56ca9418, 0x48ee7515,
+    0x6936b5ed, 0x690c8c4d, 0xfe115242, 0x6a3e0679, 0xd6bff847, 0xb4f0ab45, 0xa2ff1e4c, 0xf060e172,
+    0x34f0d07f, 0x621616bf, 0xa511a46e, 0x18a2bd9b, 0xb634d0df, 0x80304f81, 0x347bc258, 0x2ab5e3ba,
+    0x965bea46, 0x1f385389, 0x70225ad6, 0x0da1feae, 0x5f33b0cd, 0xcedffe1a, 0xe380b0f6, 0xe556f1b2,
+    0x03ee9715, 0xc2db577d, 0xe608d8f8, 0xb17c0256, 0x7ed6e3c8, 0x1fd91b4a, 0x227c3490, 0x27180109,
+    0x29ed7cc4, 0xe3c8dbf3, 0x846b721f, 0x83a8997c, 0x03029d71, 0xa39fe143, 0x63efa81a, 0x022d577a,
+    0xa00a0b73, 0x7281564e, 0x8a8e0248, 0x45a71118, 0x51df4da2, 0x68e65c96, 0xafce6271, 0x54dbdf47,
+    0x0ec8725b, 0xceb637c8, 0xd260b58e, 0x5e4be9a5, 0x4b910af8, 0x30aab935, 0xe294007d, 0x0df98cc1,
+    0x44d79635, 0x78945d0b, 0x8f056773, 0x6ba1071a, 0xbf49fc9a, 0x1fcdf567, 0xadb58f02, 0x58769203,
+    0x2425efc2, 0x0e805673, 0xcc2eec18, 0xf03db10a, 0xe45e609c, 0xfc27b907, 0x419a9491, 0xc82f2a6c,
+    0x476f0cb9, 0xb861beb9, 0x3129cbdb, 0x886dd7f8, 0x1bcca096, 0xf9e65b15, 0x2f1990cc, 0xb8978783,
+    0xddc5c1d2, 0xff065f1d, 0x6f4c01c1, 0xd1906613, 0x70568999, 0x58781834, 0x4c1181df, 0x2b375993,
+    0x43bc44ad, 0x4bad59f4, 0x8d2082cf, 0x3257700b, 0x2de7eda8, 0xa9cb93de, 0xf2203f3b, 0xa7d7f352,
+    0xc2b92967, 0xaba247ec, 0x5c75b21c, 0xdbcb9e17, 0x6c655340, 0x8d3409a7, 0x2e665628, 0x06576cc2,
+    0xe231e354, 0x4127a869, 0x0b202033, 0x623f91b3, 0xb4ea5cd1, 0x15c4a508, 0x53b1c62b, 0xae61d3f4,
+    0xd29d0405, 0xe89e881a, 0x062b6ac8, 0x8ee7bc91, 0xb2a02454, 0xeb9bff07, 0xe06b93be, 0xc8c55b2c,
+    0x57b92eca, 0x6a036efe, 0xe499ae71, 0x2e33c0af, 0x36bc4eb5, 0x56de2017, 0xad3a6248, 0x611b6bb9,
+    0xcca3424d, 0xd1fb91a9, 0x5ffb294a, 0x1f3aef79, 0xae54fbcb, 0x0592d384, 0x68bbd73b, 0x4df5b9d5,
+    0x9697ff50, 0x0ba27bf6, 0xb55bc270, 0x71ca557d, 0x8a89874d, 0x7d866650, 0xcce3fdfd, 0x456d193a,
+    0xc170884e, 0x62d33475, 0x5edb94e8, 0xdf13e5e2, 0x7f34ffd1, 0xa96279d9, 0xd5c86729, 0x3de14bbb,
+    0xe148b817, 0xd4f56fce, 0x60834805, 0x5060d377, 0xf706a559, 0x0e6e9e48, 0xe259ea2e, 0x728c7295,
+    0x0491ab3c, 0x2146586b, 0xbe8ea853, 0x6bf433e4, 0xbebe65f3, 0xcb9faf1e, 0xc2a5d1d2, 0x641bb323,
+    0x30fad564, 0x31cd805b, 0xef6929dd, 0xf33563f6, 0xa5f03ea0, 0xae6d6cd2, 0x6fdcf736, 0x88ee4307,
+    0xb8c08039, 0x2173357e, 0x5c9312a1, 0xe920a3b3, 0x36ee079a, 0xaca30b4c, 0x615fdca1, 0x8f933869,
+    0x51de2a87, 0x92d4ba92, 0x1350552b, 0xb3243349, 0x276286ad, 0x1f5e27c1, 0xcb2c8fed, 0xa3979e90,
+    0x5f8dd210, 0x5f5ffa20, 0xbc3563b2, 0x7a031c33, 0xbe3aca5e, 0x7c7fcd32, 0x344a5d0f, 0x437930c3,
+    0xfd18df0a, 0x47f9fe5b, 0x5196ac6b, 0x54c68062, 0x47a83021, 0x3d72ae9f, 0x43000b21, 0x2fa31588,
+    0xfb34c4d7, 0x43efbe8b, 0x6e4be23a, 0x230459ba, 0x87a1bc6b, 0x3761772d, 0x064408a3, 0x070ba3af,
+    0xc76916ff, 0xb1ed594a, 0x6ea97c77, 0x95be9291, 0x1afaaf03, 0xf379b179, 0x3e8e0719, 0x00467cfb,
+    0x79022b24, 0x83a67116, 0x65735bce, 0x5fdc7425, 0x2e783d6e, 0x5fb92155, 0x186e85fe, 0x1e136d50,
+    0xf08d6d52, 0xb49d2c5d, 0x108477c9, 0x6af0e20f, 0x9a1b959d, 0xe3cc7977, 0x0c77eb56, 0x708a3f71,
+    0xe60cc973, 0xf313a4a5, 0xd4b65309, 0xc3d0fe5c, 0x981bed0f, 0xbf96bcca, 0x3efe5279, 0x11bdbfdd,
+    0xef75c420, 0x1373dd1c, 0xa2c8c36e, 0x1074b150, 0x06ec0e49, 0x428f7610, 0x5a8d5f90, 0x3f4ab04b,
+    0x3414eced, 0x3ba59da8, 0xc0a136c2, 0xe79b62a8, 0x2a8ddbe4, 0x6a9b85d5, 0x4ddc7486, 0x8296510e,
+    0xdf808597, 0xdd3daac3, 0xe12dbd18, 0x733f85ce, 0x1d2d5600, 0x27dc58f6, 0xa5db7a0c, 0xf1c4487c,
+    0x9314eb6b, 0xb303ce40, 0x710c2279, 0x971de99f, 0x5a1c6681, 0xfc2031a1, 0x6aae2655, 0x6e81388a,
+    0x03062de1, 0x655118b1, 0x53fa3dea, 0xc2de1ddf, 0x30619e69, 0x3c4a9674, 0x03b328fa, 0x7a85be9a,
+    0x99bb9f63, 0x0e33d11b, 0xc32592e1, 0x4e12dbb3, 0xe39c54c0, 0x4dcb5f02, 0xc0932fb4, 0x6beaca29,
+    0xc94f954d, 0x006faba8, 0x496f99cf, 0xba2fd3dc, 0xb14819e7, 0x7ca7ffa3, 0xcb003269, 0x1b3e61d0,
+    0xa4c32237, 0x98208256, 0x51ae5195, 0x7d717784, 0x8b523dc9, 0xa6408e24, 0xd68a95a4, 0xb08b8a70,
+    0xb0dab6fa, 0xcacef819, 0x058fc992, 0x7c1347ea, 0xbf3d3f5d, 0x734d3f5f, 0xfe0daa96, 0x0cf6eb86,
+    0x6373771c, 0x59926be5, 0xe23f438f, 0xceeafab9, 0x05dab478, 0x85bf1468, 0x09ea1f84, 0xc9446a0c,
+    0x53e12259, 0x30e58207, 0xd9bfe748, 0xbcfe5fb8, 0x53d2f16e, 0x96ab8d64, 0x5db7d2c6, 0xad1929ae,
+    0x94cb09cb, 0x98ac37ce, 0x6f471147, 0xbc65f9c4, 0x9eaccda5, 0x11d00363, 0x01629062, 0x35115e88,
+    0xc30bb41b, 0x7ad9a3da, 0xf91f0570, 0xef7c9406, 0xe502a598, 0x1f46b9a9, 0xf4744c46, 0x25e2a078,
+    0x2c611c9a, 0xf9c3af0e, 0x4247f44e, 0xaf3f5ffe, 0xb48eee2b, 0x054a988a, 0xf22308ef, 0x4891fef8,
+    0x7a818131, 0x8c92fa66, 0x93298987, 0x55266bf5, 0xd6c3742c, 0x37d32b82, 0x193222ce, 0xd9194f81,
+    0x755f34e5, 0x837ac416, 0x76a185fd, 0x4720cf17, 0x41c58e6b, 0x519c4d5f, 0x71089900, 0xd3edd2ae,
+    0x9bd21f19, 0x9ac74712, 0xda5771f1, 0x500a6b2e, 0x084b704a, 0xea10e873, 0x2a45adbe, 0xba8b621d,
+    0x917a82ed, 0xf9ebdd84, 0x509efd25, 0xd8c1c102, 0x662ef835, 0xa60b3480, 0xdb4abbf1, 0xb03fe3fd,
+    0x57867687, 0xbe8be70a, 0xfb247f6a, 0x29b94891, 0xdb089df0, 0x36a07f8f, 0x5a2a7d82, 0xc1e23765,
+    0x9aaa8750, 0xaa608ec7, 0x8ca43e91, 0xb3f4b960, 0x2d669207, 0x71ec2fd7, 0x67ecf29d, 0x17834905,
+    0x5c8e788a, 0xe515b68c, 0xf8a24c7b, 0x2d62d4be, 0x10acb12b, 0xda6564bb, 0x24a105a6, 0xf3e1214b,
+    0x24638b6a, 0x8daddad6, 0x6ae426b8, 0x1eb8f993, 0xac4f0ae7, 0xacb1d787, 0x029ce107, 0xa1e6faea,
+    0x00000000,
+    0x747c497c, 0xbd3baa3e, 0x3a0cca1f, 0x0105cf0b, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6,
+    0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000179179579374224336844595382\
+                         44547554224973163977877196279199912807710334969441287563047019946172856926208 */
+  { 0x00000000,
+    0x91b3610d, 0x0e80f619, 0x5424991f, 0x157c34f6, 0xd3ebe78d, 0xefab1fcc, 0xe44d9d06, 0x9598bb0e,
+    0x26412482, 0xe0111070, 0xe39ca0e5, 0x721ca097, 0x6a10e0cc, 0x9a50a868, 0xd9443b4d, 0x599f99fc,
+    0xaa7e7e58, 0x7e192ee4, 0x1a969923, 0x8770ddf5, 0x02c6a70e, 0x28dbc3d1, 0xe5bc09aa, 0x6b6ec05e,
+    0x4d505e19, 0xc9219147, 0x0636c150, 0x1f02750a, 0xf97ff5e0, 0xe35ba0a8, 0x57cf6673, 0xdcd5380b,
+    0xb074768d, 0x21248989, 0x771c3566, 0xbcad210d, 0xe45ab9f4, 0xb7ab701f, 0xfa30808b, 0xc219ac8c,
+    0xb719fcc6, 0xd4ccffd5, 0xcdd7a97f, 0x18196fd7, 0x92cce0dc, 0xd335e7ef, 0xffd98861, 0x3b963225,
+    0xc4f53687, 0x18347ad7, 0x835a3953, 0x623f9d95, 0x11fb45e6, 0x938f6b04, 0x5c44893b, 0x1ea43512,
+    0x975b02cb, 0xd25526ca, 0x1676cabc, 0xa6bdb317, 0xcc7558c9, 0x0b8b982b, 0x0fae15e3, 0x0f97e202,
+    0x81f78ea3, 0xf053c28a, 0x6dda9a5b, 0xd5f35246, 0xa0ef5db7, 0x23174e4f, 0x45870ec3, 0x36dfaf02,
+    0x54f7ff26, 0xf5130e0d, 0x6c96719a, 0x1d5cd5c3, 0x08aaa603, 0xf70f6381, 0x6bd0dac0, 0x55783b95,
+    0x24e6e329, 0x8cfcb297, 0x67170f15, 0xf51e8355, 0x2530c834, 0x40d5cbb1, 0x9b62f904, 0x8aaf91d8,
+    0x2e03608d, 0xc4f5f0f5, 0x873f248e, 0x5326abac, 0x100adfbe, 0xfb98b9d3, 0x7386d63c, 0xe916fd8e,
+    0xe08762a6, 0x25e9b60b, 0x0351b289, 0xbaae0c2b, 0xdfbdf21a, 0xe3fc7f5f, 0x541e044d, 0x478f333d,
+    0x49812c94, 0x91958515, 0xaba93ca6, 0xabdb2707, 0x4e166655, 0x130cb4f1, 0xb1f8e563, 0x3e2dcd31,
+    0x0fb7fc52, 0xadc6ce28, 0x4486719c, 0xc3790894, 0xe88679a1, 0x39af274d, 0xd651e3df, 0x0dd16ba8,
+    0x82204406, 0xd2e537a9, 0x99943b88, 0xda86cdf2, 0x42d81f8d, 0x2456215c, 0x7c9d76fd, 0x101d1737,
+    0x7c35b074, 0x0837f892, 0x3c2f6292, 0xfabdb45c, 0xdc328e77, 0x58bb106e, 0x16988c9e, 0x0c493d7e,
+    0xef616eef, 0xe90c138f, 0xd4c1a3b1, 0x30628c1e, 0x89b0c51e, 0x51567a81, 0xdab218c4, 0x1cb1169f,
+    0x99ffbd81, 0x90a828c6, 0xdbd08024, 0x8af4ca1f, 0x942052b1, 0xeff339ea, 0x204b0a06, 0xf0e141ed,
+    0x1e9e89b9, 0x964368de, 0xae0b0355, 0x49c841d8, 0x7e888908, 0xf2eb0a2f, 0x9ea857f3, 0x8056e1e5,
+    0x3df1c860, 0x5acd2c8d, 0xe3ae9dd3, 0x9e638884, 0x170e3414, 0x806ae0cf, 0xc33a96c5, 0x6048d39e,
+    0xb07336c5, 0x6a9610f8, 0xc68b3719, 0x3a4c7fc3, 0x375d04a3, 0xfc0058d9, 0xe6b5d359, 0xc4bc781e,
+    0x1e77d644, 0x61687c38, 0xb69d84a7, 0xa562b737, 0x9d758b27, 0x071c9710, 0xcebab83b, 0xb8525557,
+    0xecebafd4, 0xb5ba1699, 0x809c6083, 0x362d5f43, 0x5306f512, 0x285704de, 0xe94f5102, 0x943adc1f,
+    0xe042c749, 0xb7a3d1cd, 0xf8cb84a5, 0x3cf73e9a, 0xdf79b1f4, 0xcf1e8ca5, 0xc505feeb, 0xe97e1516,
+    0xa378449e, 0x4012b626, 0x4a05bae9, 0x86c92ac0, 0x8c5c6dcc, 0x16a15e76, 0xf95acee1, 0x45dded39,
+    0xed07c6f3, 0xf537ed66, 0xe267850b, 0x1ec54e60, 0x4a9bf9e8, 0x4b6cc057, 0xcdf603b6, 0x1aaf782e,
+    0xd781d44c, 0xf28de17f, 0xb09b9484, 0xb86c30bb, 0xda9b24da, 0x23cbf7cf, 0x067b2783, 0x1ff9a4ac,
+    0xfbffd0e0, 0xddb678d5, 0x6a0ad854, 0x32d61b3c, 0x4289849d, 0x310b7933, 0x9d0d738a, 0xa75d8299,
+    0xc2016c6b, 0x035970d0, 0xecf96191, 0x4cc05676, 0x63cd6528, 0x2075b6c5, 0xa98e85f5, 0x19484412,
+    0x5ce3551a, 0x1943c277, 0x6aec2ef0, 0x0d53e8c2, 0x1b626035, 0xe8ee061a, 0x5ead0f2b, 0xd7ab4c25,
+    0xee080b89, 0x87e04727, 0x5122db88, 0xd3495cac, 0xd979e421, 0xd948bb32, 0x25910dbe, 0x9e73d690,
+    0x7ef3a6d0, 0x92af6034, 0xaa90d56e, 0x39c532e4, 0x1eca48e0, 0xaf9379d0, 0xd83b8a41, 0x7c8b91bf,
+    0x30a61657, 0x74323bda, 0xee086396, 0xc728db5b, 0x39a492e1, 0xde2e5738, 0xe04fcaba, 0xc92ab093,
+    0x985956e1, 0x02f052ea, 0x2369e14f, 0x42a6a281, 0xcb7103c7, 0x1287dab3, 0xce299698, 0x626b8973,
+    0x9380fb68, 0xe552be5d, 0x10da9031, 0x445f3501, 0x2b54811e, 0x2ff42472, 0x5ccebe99, 0x1f292e34,
+    0x07443f2e, 0xa29ddae3, 0x1d6f1be0, 0x08b6ac3d, 0x330d997e, 0x538764ad, 0x4ba40835, 0x720115bb,
+    0x93c7cb23, 0x8d40d014, 0x11f4f98b, 0x2fa07ab0, 0x9a036c3d, 0x5560b3a9, 0x06ce00f4, 0x85f0dca2,
+    0xfce02e9e, 0x80a8b67f, 0x500501dc, 0xd6f153e6, 0x505d97f1, 0x4565174c, 0x50bd02b3, 0x60674953,
+    0x20b72db9, 0x017ccf01, 0x489a4c00, 0x9766b069, 0xeaf42387, 0x56bc2ae5, 0xdb5a0013, 0x8675dc51,
+    0x12a3782c, 0x1b9e6ae5, 0x62e67383, 0x27f20108, 0x3cb232f2, 0xdbae0731, 0x3710b52f, 0x71d3de64,
+    0xe0d35c09, 0x929e3985, 0x683a9a85, 0x43fdb71f, 0xfe5960a8, 0x5ff79756, 0x835001ac, 0xf14ab5e9,
+    0x4fdd641a, 0xf408bfbd, 0xe530abf1, 0x70dba4be, 0x33de2e97, 0x54045c10, 0x38ee96d9, 0x094684f8,
+    0xb612975b, 0xb6b38712, 0xa18083f1, 0xc66e1897, 0xf7493332, 0x1b3b7a9b, 0x986cd7bb, 0xd021022a,
+    0x5de85229, 0xf32b8788, 0x7941f4b2, 0x98161ba6, 0x35942b38, 0x2b18270d, 0x1614014a, 0x79fd1e20,
+    0x4cde97a6, 0xb1656672, 0x2f7f0fc5, 0xc1f57f8c, 0x9643066d, 0x1d59722a, 0xc6b222d6, 0x9c775379,
+    0x43440f4d, 0x7942032c, 0x89f80649, 0x567f936c, 0xc693031c, 0xfbdd1e24, 0x6a04b166, 0x4e321426,
+    0x5f2358a6, 0x50d026bd, 0x29c4f5e5, 0x0b9ad3ec, 0xf62e9db2, 0x9daae6fb, 0x27aa1652, 0xdf89cb76,
+    0x1feade3d, 0xd7a404a1, 0x30465563, 0x5a491422, 0x31b7681e, 0x7912facc, 0x4414ab4d, 0xcfd45742,
+    0x5a02d67d, 0xd67213d9, 0xfd91158a, 0xbe5d52b9, 0x63016ebe, 0x1ce57caa, 0xddd7c265, 0xf663132d,
+    0x22639609, 0xab519d81, 0xb2fffb0c, 0x86db3080, 0xc3f34264, 0x494cefc9, 0x7d6bc0c9, 0xf1734bfd,
+    0xdef2aeee, 0xb1b81e26, 0xc2fd4263, 0x22a4fffa, 0x35f99d1b, 0x8897ede1, 0x80d10083, 0xa3b006f8,
+    0x092b60c2, 0xbe8fc7e8, 0xb24668ad, 0x2bb8cf31, 0x215399da, 0xca4cffdf, 0xf4f17231, 0x79d06f1d,
+    0xd8f7dbcc, 0xf5531281, 0x18690634, 0xab9fc529, 0x9a6e681a, 0xa27f572b, 0xad3119ef, 0x306af40e,
+    0x645df09c, 0xf654e01b, 0xdbf9d419, 0xb95d6225, 0xc5db2453, 0x036cde7e, 0xd3354379, 0x4f97c794,
+    0x4471a216, 0x0221f399, 0xc503f244, 0x4565739a, 0x0823ae47, 0x2bcbd63a, 0x1e37b1e8, 0x8687de0e,
+    0x821d1201, 0xb709bd87, 0x14125ba7, 0xdea1c73e, 0x9bef560a, 0xe07ce7df, 0xab33cb6b, 0x85b9d6d1,
+    0xa4e08543, 0xd5a4b54b, 0x7d70e41c, 0x4a0d32c1, 0x987f21bf, 0x49656175, 0x98f29b87, 0x6367fd85,
+    0xb9262c38, 0x638372fa, 0xe9d29a81, 0x3288c964, 0x12fa014a, 0x6a3c0754, 0x7bf7047d, 0x4add30ac,
+    0xe47e402d, 0x3ab11f51, 0xad8f7408, 0x814b91ef, 0xae5c492b, 0xca42b78d, 0xbffd02e9, 0x6adfda98,
+    0x12f7d462, 0xb5206ba8, 0x87cfae34, 0x814f688e, 0xe80959a8, 0xe9a25e3f, 0x46aafd98, 0xf0ae2461,
+    0x1df9e066, 0xcc2cdeaf, 0xfaee36eb, 0xfa3de0eb, 0x98cbe3b6, 0x93552f0d, 0xb597b960, 0xc58defb3,
+    0x2b3b8a2a, 0x6adb665a, 0x846f42e9, 0x8814e15c, 0xdf416f86, 0x8b5e5f61, 0x9f44d516, 0x16952ebb,
+    0x8505ec2d, 0xef0a2d9f, 0x8bc65af2, 0xf6a29acc, 0x252d309a, 0x61e8dc5a, 0x9f40d41e, 0x5d74f169,
+    0x53364cdf, 0xff6ed007, 0x2386de1c, 0xa0e549d0, 0x56e99d3e, 0x188e25c9, 0x32fbbb6c, 0x6de317f3,
+    0x6f57db4d, 0x7be78244, 0x69f9b50e, 0x3a976819, 0xedb2ae18, 0x542bb714, 0x2942040e, 0x193c9c5b,
+    0xe93e2574, 0x676a776c, 0x74282aa1, 0x4e44139e, 0xd5ba70b7, 0xf03c60cf, 0xa8223a9c, 0xf8b26f45,
+    0x3a6a9151, 0xec08a2ee, 0xb428af36, 0xaac67f80, 0x835fb81b, 0xfaddc48c, 0x9d15ff74, 0xe6b9c7e1,
+    0xcda1b995, 0x501cdaa0, 0x8adc7a3f, 0x9900b827, 0x721b373f, 0xbef9e4a9, 0x85872757, 0x6ea63286,
+    0x3083bdba, 0x0b6716c1, 0x8e7436f2, 0xe2a7bad1, 0x82d73ff3, 0xa603f7b7, 0x363d19b8, 0x9b3717e5,
+    0x32f339c7, 0xf55d147c, 0x30db68f9, 0x52d77440, 0x52ae38eb, 0x559d812d, 0x6cc81fb3, 0xb25fbf8b,
+    0x1730dc5a, 0xadec2634, 0x91d21d19, 0xb0179ca6, 0x11b7cd11, 0xfaae2cdd, 0x7da90124, 0x24acbf4c,
+    0x089f5326, 0xa0dc6f0d, 0x0bcda650, 0xc1a53ed8, 0xd6e21f3c, 0xe49f100f, 0x69314a9d, 0xd4c39f92,
+    0xd555cbe2, 0xed39663c, 0xfccf5fa8, 0x4309e1bd, 0xb98db5e2, 0xef4805ee, 0x3595c939, 0x3f60f6f6,
+    0xb63c00c1, 0x15954fff, 0xe50520b6, 0x54f2d8fa, 0x95fb8927, 0xee21885f, 0xf4b1581a, 0x30bd1275,
+    0x1bdbac53, 0xc1679f55, 0xe6e98b91, 0x412748d7, 0x6fc55d53, 0xf6b6a5ee, 0x0ef9a9bb, 0x580f6e59,
+    0xe3b5a62c, 0xbf1481c9, 0x89020688, 0x3ca665b7, 0x4fc1b085, 0x4863f2e2, 0xb1f28806, 0xc5296b48,
+    0xc78d9794, 0xa4d78035, 0xc1dd1235, 0x30955f0c, 0x1487dd02, 0x9064c753, 0x4ec754cb, 0x9cb0b6dc,
+    0x82c4875b, 0x594b886d, 0xe9af8e74, 0xa530ff74, 0x8f8c18a1, 0xab9791ad, 0x4c5c7046, 0xa8772bfb,
+    0x68381c03, 0xfa4c1893, 0x924c6684, 0xcfe44fa6, 0x5fbd3fa0, 0x37859d7e, 0x7635bc67, 0x36f02fa1,
+    0x6a43f1f0, 0x6010ccd8, 0x6156c528, 0xc056707f, 0xb8895017, 0xf28d65ee, 0x2001ddf2, 0x4af138e6,
+    0x5fc41562, 0x676ad7f6, 0x6fe4f231, 0x103b23c3, 0x1e1bce6a, 0xcc1e3565, 0xab893f0f, 0xff46f23b,
+    0x17fbb890, 0x05332895, 0x882b92f1, 0x0f61a847, 0x8b2c8a0e, 0xd99fbaf0, 0x25f62e45, 0x539c1d1a,
+    0xc1c1bc96, 0x0f02fd17, 0xb8aced59, 0xa5f52d6f, 0x905ba203, 0x0cdf889a, 0x2f6f81e3, 0x441165f7,
+    0x78a4c208, 0xe4344d8c, 0x930e6810, 0xaa2ba32d, 0x8243e10f, 0xabac61e3, 0xed8e0ec0, 0x2d623ccd,
+    0x79ecbd1f, 0x4af1e5bb, 0xd09aae13, 0x89a39aef, 0x8c9a5c43, 0xbcca58fa, 0x8deb7c49, 0x393b2100,
+    0x04a82b40, 0x55ebb938, 0x6aff8d5f, 0x09938d0e, 0xc7de5a61, 0xbc90cf5f, 0x2d3953b8, 0xb1a33b01,
+    0x97a99ac0, 0x1727ca15, 0x02cd3cb7, 0x9a6e7794, 0x77eeadfa, 0xc6166a7c, 0xa67255be, 0xf7a89121,
+    0x158d42a3, 0xf246ff1f, 0xcea9dcf2, 0x5d55b67d, 0xac5cd289, 0x363041ea, 0xf3930eb7, 0x62b50c87,
+    0xd8a3db09, 0xbbb325e6, 0xd2fe1ad3, 0x07bf280f, 0x66321841, 0xa3be9297, 0xefaeecad, 0xd02a8d54,
+    0xe6e6ebb1, 0x427d9ee1, 0x05a7cb16, 0x3b57cfac, 0xa125b2c8, 0x8528b215, 0x8ceea459, 0xd40dda80,
+    0x890f6f4b, 0x85cdafe5, 0x581cb636, 0xc3cf808a, 0xea75455b, 0x3b6b853b, 0x2b87076f, 0x9eec58b2,
+    0x3b43af5e, 0x8cd801d5, 0x91a39528, 0x62d0cc90, 0x48d414c3, 0x2dcda889, 0xe6370cbe, 0x6eb1e694,
+    0x124e9fac, 0xa0aa379f, 0x99767ef0, 0x38671c61, 0x47364008, 0x9572b427, 0xe863a3ad, 0xb485f9ef,
+    0x4e083b22, 0x030f1f06, 0x901c6a3a, 0xaa8237bf, 0x5fae5b51, 0xd3037557, 0xb1e4174e, 0x9c1e278d,
+    0x5dddddf1, 0xb8f84715, 0x918d0209, 0x20d90e13, 0xbcdd0560, 0xed5a5477, 0x8061d117, 0x514bbf4d,
+    0xedb7d2e0, 0x32a8bff5, 0xe346fd1e, 0x3f39820d, 0xa1800136, 0xe4d5e1b3, 0x8673ab1b, 0x2ae87b88,
+    0x62a08979, 0x7116b855, 0xeac82f23, 0xe3a8e705, 0xd1f50345, 0xfb46a4de, 0xe3569d87, 0x22e383b4,
+    0x0f807e50, 0x186e0457, 0x6eb5aa4e, 0x246b53e8, 0x44398aa8, 0xe9f8bd7d, 0x4b7fb101, 0x6bfdd466,
+    0x034f18d5, 0x4448787c, 0xdd254acb, 0x54f7f99f, 0xf2f63c11, 0xe63dbb57, 0xcb06a19f, 0xd5a09e36,
+    0x7c5bd686, 0x4bb021a0, 0x2da998ad, 0x59333563, 0xf64f192f, 0x09b579a7, 0xcd5fa5f7, 0x4a8f86c9,
+    0x99dc58a3, 0x95780faa, 0xad5ac656, 0xa4c661ce, 0x00ad76ca, 0x54b3d0ff, 0x5541ab97, 0x6182822f,
+    0xbf1b9199, 0x858c63b9, 0xd7530827, 0xa4e9f934, 0x1555c618, 0x16e7d9df, 0x4d57d5da, 0x926b0355,
+    0x6aeb75e4, 0xa62c9d7d, 0xd9c0fd7c, 0x66997261, 0x03fb1df4, 0xb40fb720, 0xd53e1637, 0xc33c481d,
+    0x46b72b57, 0x33889c50, 0x57e8be2d, 0x67f666d2, 0x6a26a182, 0x4ad71844, 0x7d07e528, 0xdcf5b16d,
+    0x4d63df54, 0x96063446, 0xd1360b44, 0x880cb507, 0xfba54ab0, 0xb325d572, 0x8f4c7526, 0x6a9189a1,
+    0xdf4e0d31, 0xd97d0b20, 0x68df4356, 0xf9fa77db, 0x33d8311d, 0xd0a7dbb6, 0x44f48bd9, 0x91d31824,
+    0x9eaa778b, 0x7fadb789, 0x8b6fd2c1, 0x874ea27e, 0xdffb18a8, 0x53837876, 0x2309f17b, 0xb58703d2,
+    0xf835a621, 0x71baf427, 0xa2bbd79a, 0x51bb6063, 0x47fc8bdd, 0x03279323, 0x0d735ffe, 0xc9641952,
+    0xcac71d2f, 0xf21d6149, 0x601fe6dc, 0x03c40447, 0x8cd186c3, 0xeb24b124, 0x6c3b42d4, 0xe451ce30,
+    0xb7316fae, 0x2207d201, 0xd3061a4f, 0x73745c78, 0xad81bf5e, 0x00e83dac, 0xf29c00ed, 0xbaad2fd5,
+    0x61160aa5, 0xb3b69bb6, 0xd60ac6f1, 0x4e536117, 0xa15e938f, 0xc09416fb, 0xb4584c7c, 0xf229c5ef,
+    0x5d812c97, 0xe7ac46da, 0xb7e12532, 0xd46df364, 0xb23932c5, 0x8c35fdfd, 0x459eaa59, 0xaf07901b,
+    0xf0c8b9af, 0x0ba503d0, 0xa4ad6e6c, 0xc2ac3407, 0xad3dcb55, 0x7af99a9d, 0x74f926be, 0x47227243,
+    0xe18bd3f5, 0x6a932331, 0xd1162fd1, 0x19d1206d, 0x13a48b97, 0x4b741c9d, 0xdc95ea6a, 0x9e6daf40,
+    0xd42f0770, 0x05d6ad2b, 0x84a1e2cf, 0x7823a51e, 0x14166ed7, 0xb5dfbc86, 0x848cf863, 0x00d4f45d,
+    0x0940d438, 0xcf72769c, 0xf3abaed8, 0xe16b96e4, 0xa18e0754, 0xd9f605a7, 0x8cc6fceb, 0x1a825daa,
+    0xf5b297bf, 0xf4f0e245, 0xb1de09d4, 0xa067fe4a, 0x0393190c, 0xac12cce3, 0x7863e0d4, 0xae10245e,
+    0x008fc482, 0x1047e2a3, 0xd47dd908, 0xe3fd906c, 0xf521a295, 0x13a06ec8, 0xf64ac922, 0x4d828ede,
+    0x2315783e, 0x43db47d0, 0xf6f85d96, 0x39ad9f8f, 0x8ef110ae, 0x8d2d31bf, 0xd35005ce, 0xe147a17f,
+    0x6465918e, 0xe0f40441, 0x51ba80ba, 0x011f202f, 0x86704a50, 0x775bbce7, 0x953edb03, 0xa54030db,
+    0xb378f847, 0xa50787a3, 0x609ce03c, 0x72f3d8b3, 0x0d863815, 0xc7ce5b3b, 0xb13779ae, 0x00533d24,
+    0x355f39e7, 0x0419ddc8, 0x927928bf, 0x53ef3774, 0x4213b0d9, 0x5401022e, 0xcfe7c03a, 0xc318fc87,
+    0xb2f2de43, 0xcdbd8566, 0xf4762e4e, 0xa21847bb, 0x75a35257, 0xfa62bbe7, 0x48e08129, 0x0e51be74,
+    0xbee4b03d, 0x5c0fd328, 0xc8201160, 0x8b5e3dfd, 0x845ff799, 0xa417a798, 0x35cc78e9, 0x0c31ce76,
+    0xd0ec8a91, 0xad17fc3e, 0xf747e60e, 0x34e384a3, 0x5aedcdb1, 0xeceaf994, 0xbe565183, 0xcb95d725,
+    0x00000000,
+    0x3a3e24bd, 0xde9dd51f, 0x9d06650f, 0x8082e785, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb,
+    0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000089589789687112168422297691\
+                         22273777112486581988938598139599956403855167484720643781523509973086428463104 */
+  { 0x00000000,
+    0x94eb7e21, 0x47359cf1, 0x208fd324, 0xab0b4d3f, 0x0d4de233, 0x34d2b3c3, 0x2a9645f9, 0xd5facd54,
+    0x42750c93, 0x3c040313, 0xad333d8e, 0xa70c8ee5, 0x479153f9, 0xd318f243, 0x70ab9686, 0x4a7b9e85,
+    0x1e0e3607, 0x2cb6162d, 0x2bce7d62, 0x19fa6404, 0x3a7d6161, 0x151f09e6, 0x3d01d3bd, 0xa0ebfda1,
+    0x57c717be, 0x13bbf2b8, 0x206189ae, 0x129dff6d, 0xa9d2fe8b, 0xe351426b, 0xcebcbca7, 0x2364b7d5,
+    0xaa92f4fd, 0x3b57b025, 0xfe874511, 0x6637c4ca, 0x527154ac, 0x2ddaeadd, 0x6249fd2f, 0x8489bcef,
+    0xce0a9999, 0xf4faf65f, 0xc7ac9750, 0x82ff7ce7, 0x97b0e7d9, 0x19dddad3, 0xc4914c5d, 0x2d399e48,
+    0xc1b4195a, 0xee4ec335, 0x76f2690c, 0x4ff9478c, 0x5f877129, 0x3695affe, 0xd7e48142, 0xfab45e69,
+    0x409f209a, 0x9dfba1bc, 0x1604d290, 0x00da81b9, 0x19be198b, 0x5f13c8ad, 0x015f3eb1, 0xe4ece1c2,
+    0xa89973e4, 0xfa73d233, 0x9c1af2b1, 0xeea685f5, 0xcfb425c1, 0x5f5c5e97, 0x875dedc4, 0x65e7e369,
+    0x7cde33d1, 0xbc0d7c81, 0x1403e17c, 0xa5ca5afa, 0xa6055b7b, 0xc8c2f1c4, 0xfe8b7b41, 0x029e415b,
+    0xae12b81e, 0xddc3fcf5, 0x07fcc24a, 0xac4e0f71, 0xb78a339f, 0x2513e9ae, 0x8205833d, 0x736ed7e9,
+    0xf9d6ac6f, 0xf75045ca, 0x3355befc, 0xaece3a64, 0xf39334ea, 0xd728982a, 0xce5783d8, 0x2c98d25f,
+    0x109bdeb0, 0xd630f2e5, 0x5f801b1e, 0xee29685f, 0x87b8231a, 0xe5cb682d, 0x56c3f884, 0x77a7472c,
+    0x0c81e272, 0x2150e2be, 0x94c63e49, 0x7f9a8f18, 0x43a91c18, 0x32e4d891, 0xdc64dfad, 0x01a374bf,
+    0xc12ec417, 0x0e27e9ba, 0x3384d657, 0xbad07132, 0x59edaa9b, 0x817d0d75, 0x09a5869d, 0xb003e946,
+    0xbf2199be, 0x95770587, 0x37e2bfd3, 0xa75ff438, 0x821a8a0a, 0x9a920f4d, 0xafbd6def, 0x160a484f,
+    0x39b7bb12, 0x847c09bc, 0x8a59aaf1, 0x0d179ef6, 0xc9dc6809, 0x475f45b9, 0x1332f50b, 0x235cfb87,
+    0x48778bd2, 0x67b782a7, 0x672c79b5, 0xec64d55e, 0xb527e103, 0x3f7971de, 0xd4e06a32, 0x7b332a0f,
+    0xf37535d5, 0xd53e3d1f, 0x2b75ecd4, 0x1a07d414, 0xebb37422, 0x8ef2f89c, 0x426ca5dc, 0x29c9aa5b,
+    0x1fa77fdf, 0x9ff9cf4f, 0x077aae7c, 0x19db0f12, 0xed8117ee, 0x814cfed5, 0xc036829a, 0xa319534f,
+    0x6352f668, 0xe4b15650, 0x8cd1d696, 0x9e687afe, 0x8a8b22ad, 0xd7e3bfea, 0xea8a83c3, 0x919de7c1,
+    0x9b589071, 0x7d6feaa5, 0x2a160ee4, 0xfb78a6c2, 0x88332926, 0x200c3dd7, 0x13da8978, 0x4640114b,
+    0x59496ef1, 0x06f8b508, 0xdbff0973, 0x86413a18, 0xfff3227b, 0xc29ddd45, 0x433ec671, 0x8dc48778,
+    0x49686beb, 0x297c5e25, 0x498e5cf6, 0x8e0374b5, 0x9c9cab15, 0x16a684c9, 0x71a97846, 0x4fd11833,
+    0x20451b3a, 0xef7e3e78, 0x2b71e257, 0xbc8cbeef, 0x49ccb6e7, 0x0e820b56, 0xa8d62ce6, 0x28d04ecc,
+    0xd0e8e364, 0x70ed172f, 0xe7967d6c, 0x5941ea37, 0x4c52b9e5, 0xaa4ef546, 0x805441a8, 0x7fd5c0d6,
+    0x7c88e20e, 0x4ef8d119, 0xb47fedff, 0x4d19a38b, 0x4ad88999, 0x84639263, 0xe973494f, 0x0477a44b,
+    0x2460cba8, 0x11d3c72e, 0xd5900e6d, 0x912c6664, 0x75039206, 0x662a3416, 0x453cb4bf, 0x1ab02ded,
+    0x28c336e5, 0x48a839f8, 0x3a1ff164, 0x2b0b7ffe, 0xdfe916a3, 0x9e051d5f, 0xd67c08de, 0xb9562de4,
+    0x90178c86, 0x1976ed3e, 0xa2a3a848, 0xdd680d26, 0x131c6e5a, 0x6ed1bc06, 0x15e9b644, 0x6916ba13,
+    0x7f93d212, 0xb49c3b9d, 0x4d1acddf, 0xcdcbcfc9, 0xf36c91f7, 0x340ead14, 0xba0b47a2, 0x77b2fbf9,
+    0x791a85a0, 0xbac330e5, 0x591b6173, 0x74978669, 0xf7235abb, 0xfaf0a4cc, 0xb1dd9332, 0x228bd9c6,
+    0x01434351, 0xb60244b1, 0x2f7b8936, 0x322453a1, 0x29485c7b, 0x637612af, 0x86e51f76, 0x3b0dd154,
+    0x73e2f863, 0xc7847a56, 0xb5ae2f95, 0x80ba6d77, 0x9a4bb627, 0xf06f5944, 0x12a94b72, 0xafe01ad2,
+    0x1bc9077f, 0x1bf16bce, 0xd3658e5d, 0x1de5277b, 0x97875b8f, 0xe0b9dbbb, 0xbd0a2ba6, 0x5524a191,
+    0x1170b5f7, 0x73391ca8, 0xc1e596bf, 0xeb4b6597, 0xa67fa773, 0xe2d3592a, 0x2a778a5a, 0x183525c4,
+    0x3bd3f1a5, 0x11f20d18, 0x4d8b5b38, 0x976c480d, 0xe7fb0e8a, 0x33c394e9, 0xcbd68aeb, 0x977b92bf,
+    0xf7fb05d9, 0xd52204ee, 0xa0880933, 0xd2b9b161, 0xd80751fa, 0xbedaa2a9, 0xe55bff6b, 0x4f24732e,
+    0x01f4de16, 0xde8e587f, 0xa324e987, 0xc5025b40, 0x4cf02b02, 0x38b2ec11, 0x98c6b8cf, 0xf9bb4469,
+    0xc4a6c8cc, 0xf06f465f, 0xca03e465, 0x09811b0f, 0xbbd7dd00, 0x49f65b07, 0xb44cecb5, 0x727d76af,
+    0x8670ef42, 0x1319d925, 0xbf87c50a, 0x67e60084, 0x58f454f7, 0x1cd42da2, 0xe9749c18, 0x34837245,
+    0x4030da87, 0xa736c706, 0xb054fcd0, 0x40b4904d, 0x3094a9e4, 0xc05d279b, 0xf3d67e0f, 0x28d68ebb,
+    0x8dbb3e1b, 0x43edf3ec, 0x71f17230, 0x5abee5a2, 0xbdb2eb11, 0x413df974, 0xe8f8a4f2, 0x0f4f8f7f,
+    0x2922d173, 0x6408d03a, 0xbb82da41, 0x5aa17740, 0xc8ae8162, 0x73ac49d7, 0x15f374e4, 0xae3af0c3,
+    0x4aa8b5ad, 0x3af6ea55, 0x091b824d, 0x364c61fb, 0x4d2e817e, 0x87cdf4a0, 0xb8b39836, 0x3873edae,
+    0x59eee541, 0xcfaf4be6, 0x1812043c, 0x020170fd, 0x93785d24, 0xd28a484f, 0xbc2739cd, 0xf8d1851d,
+    0xcb4da753, 0x65c4e28d, 0x46444472, 0xc705e4cd, 0xb5f1e419, 0x4f58216b, 0x4b0524a5, 0x8b86f77c,
+    0xdf3d1172, 0xf6453eca, 0x194bbb2e, 0x5c534cc2, 0x31d3f940, 0x80d876db, 0xf89c7c18, 0x8b2efe47,
+    0xf7464a41, 0x05e904e1, 0xf82bd255, 0x4bb2a961, 0xfb6dd8e8, 0x5bc52a17, 0xbc29df71, 0x2cc9b370,
+    0x93ac125e, 0x18c5db1e, 0x37fe14d5, 0xa0241026, 0xdce25308, 0xc175251a, 0xa81c6753, 0x119f08cd,
+    0x54786b80, 0xf4ad106f, 0xf4a27b62, 0xb35e895f, 0x1a594593, 0xd6664118, 0xc9a85851, 0x979aace6,
+    0xd1827f6d, 0x38bca98d, 0xbbd7ee11, 0x39d1704a, 0x086a04d6, 0xac971303, 0x76aa17f9, 0xbb65cb98,
+    0x70c84533, 0x6e6136df, 0x31ae17e1, 0xd91ff5da, 0x86b7a948, 0x1902e9cf, 0xf7e002e3, 0x4dbf04f2,
+    0x05c72780, 0x724021ac, 0x8ddaf487, 0x76a436f1, 0x4181bdff, 0x1d540d16, 0xa11ad34a, 0x6bb9f3d4,
+    0x9c57de28, 0x2888478d, 0x788fc4f8, 0x005dea6c, 0x615d0cc1, 0x88fcfbcc, 0x86e8c1b0, 0x13f49ec7,
+    0x5d5c83b8, 0x228ca68a, 0x93ec4bc3, 0x3fd8011c, 0x0b095b1f, 0x8a58e5da, 0x642c77ca, 0xe9352677,
+    0x69b52bab, 0x27010b56, 0x486b107f, 0xf211a336, 0x3371b9e8, 0x7c6727c9, 0xa5560134, 0x94d5f99f,
+    0xd47c2224, 0xab3030af, 0xa4b56060, 0x68efdf5b, 0x8c7d1fed, 0x23c1db57, 0xf74af06a, 0x23689375,
+    0x180f56e9, 0x2d87c812, 0x9d125373, 0x114ef655, 0xee32cd7d, 0x181682ce, 0x58777462, 0x3ee5ccc9,
+    0xd0d884d2, 0x617d7830, 0xf785a409, 0xdff5a9d5, 0x2c3b21c0, 0x361e7c08, 0x8ab099e9, 0x156b2602,
+    0xae0257fe, 0xb17aeda4, 0xaec3dc5c, 0xcce035b6, 0xf26901a0, 0x6cf03cba, 0x297d8c17, 0x7898f3dd,
+    0xeb2086ac, 0x198b69b2, 0x7bae4496, 0xfeff2d94, 0x8b0cfce1, 0xf17a4a34, 0xfa05bd64, 0x84de13a4,
+    0x95091232, 0xaeca3b2f, 0x4d05ebdc, 0xb5e455d4, 0xb6fe9d3f, 0xe0360e9f, 0x6c5c21b0, 0x60b1992a,
+    0x2756734b, 0x0cd67c9d, 0x6caf2743, 0x91206dc9, 0x69b91510, 0x48430628, 0x4b0d2113, 0xe200d657,
+    0x35879bc1, 0x82266035, 0xf95548e2, 0x739761d5, 0x40c1c434, 0xde6a7b8c, 0x4129d612, 0x39e25c83,
+    0x9647f84d, 0x88f67d00, 0xcf3acf92, 0x8f8d1391, 0xde2120a8, 0x87541ff5, 0x11738dc5, 0x5183fbc6,
+    0xd55a6148, 0xe97c633a, 0x6fd41340, 0xe40fad21, 0x8d5c9f74, 0x10b646e3, 0xa4bdc68e, 0x50060a01,
+    0x643c01e0, 0xaeb14537, 0xd46414b6, 0xbcc6e542, 0x98c5f5bf, 0xbdfe3361, 0x8bf63812, 0x37b6eee8,
+    0xafa43976, 0x2429aee5, 0x24e86be6, 0x4d67c346, 0xd70714b7, 0x07c80969, 0x17b6563d, 0x6fb657eb,
+    0x2140eabb, 0x6b80fb59, 0x2a81d4ed, 0x09f62fbc, 0x503f6556, 0xf9a2a3f8, 0x88ae90d1, 0xe7d68c4c,
+    0xab8573de, 0x5e440284, 0x5d701c8a, 0x7dde1777, 0x96c67a25, 0xa6ebc588, 0x3f8c938b, 0xe672c9b2,
+    0xd14e652a, 0xd646292f, 0xdb15d068, 0xb18d9092, 0x4d4eedbe, 0xb65e2ce6, 0xb19e19d9, 0x5d95293c,
+    0x7d9d9b70, 0x70d371c6, 0x5a6965fd, 0x34ef3e33, 0x041c5180, 0x618ac546, 0x4657c8d0, 0x34d7f6b4,
+    0xb085fd57, 0x6eac5084, 0x49ee9971, 0x861938a4, 0xdc528d3e, 0x63fd4a28, 0x65d805af, 0x86b26740,
+    0x66ca38c5, 0x2ef1c9f5, 0xc12f117b, 0x50703a9f, 0x48371356, 0xaea0d249, 0x7a916807, 0x6e4c3f8f,
+    0xc3395109, 0x2c73f443, 0x3845773e, 0xcf370dce, 0xe60ed686, 0xfa082404, 0x9c8b5b25, 0xdafabf94,
+    0x0a2bb16a, 0x2a8e9181, 0x47447dcd, 0xa3af7ad5, 0xae7dbac6, 0x593bcf00, 0x47f02525, 0x4c0b4c4f,
+    0x83d3aa77, 0x43974ed8, 0x0cb0891b, 0xd2f64c54, 0xfcc7d99e, 0xaa48c315, 0xdef2895f, 0x92ef281a,
+    0x6b4ee56b, 0xeecb1a04, 0x2ddf079c, 0x9246fd2e, 0x90a9f7bb, 0x1fd71984, 0x0decef03, 0x338cf90f,
+    0x2afeb1ec, 0x19b34b5a, 0xb124e050, 0x15160e74, 0x225c4635, 0xd46607e9, 0xbdc43142, 0x472d9240,
+    0xde36651d, 0xa6f80490, 0x737b96f5, 0x2bd48418, 0xc6b54b08, 0xbdef4c3e, 0xd59da08b, 0xf7ede162,
+    0xed3b1181, 0x495ee0fe, 0xf3913621, 0xca3ad4d8, 0xe0e655c9, 0x1aec30b4, 0x4b773a13, 0x12f64dbf,
+    0xe37dce4d, 0x7c5772b2, 0xf68aed9b, 0x4e38fd87, 0x2e4d8a71, 0xadfe12ea, 0xa39b108c, 0x08bfd863,
+    0x769e1e2c, 0x55912ca6, 0x965a1c1c, 0xb14a560c, 0xdd0f5a80, 0xdf6b6d2b, 0xa000c1d5, 0x4d3814a8,
+    0x26775b1d, 0x367df074, 0x6ced80ba, 0x1b86dfa5, 0xa2d16f06, 0x03424a4a, 0x9cb0b579, 0x91394f8b,
+    0x793543f8, 0x8a093489, 0x69f1676a, 0xe7ef4f47, 0x9b5ff470, 0xe59ee9c5, 0x0d395565, 0x067254e9,
+    0x157180a3, 0x8986552e, 0x3f11592f, 0x338eacef, 0x1436fe54, 0x28c597b2, 0x13110dfa, 0x68c3cb8a,
+    0xbe75fcc7, 0x8f37b100, 0x979bf085, 0x2c248b08, 0xc3c5fc3e, 0xa44f17eb, 0x79d808a7, 0x63e5cd5a,
+    0x346fa68e, 0x2af0b7e3, 0x119b08b6, 0x1b45ce3d, 0x854084ed, 0x47c26f6a, 0x367e87ae, 0xd6f5ae36,
+    0xe93a0433, 0xad8b2cda, 0x362a1503, 0xba675537, 0x6c1a6a5f, 0x1a7f7966, 0xde91910c, 0x61fdeb33,
+    0x43805507, 0x557237e8, 0x4d68aa4c, 0x62b20055, 0x3a721abf, 0xe5fb56ad, 0x41b9aa45, 0x0bef9069,
+    0x016a8f97, 0xd5d958bc, 0x23b8a88c, 0xcfcc809c, 0xaabaacb1, 0xa7a82d1f, 0x75bfdf5d, 0xdceefd48,
+    0x5a4223ba, 0xffb0ea3d, 0xf51d2c37, 0x114aa6f4, 0xb42d3735, 0xdc6a55b4, 0xd2d37276, 0x3b724d43,
+    0x9a386504, 0xfb7e312d, 0x904b82ca, 0x9e4c221e, 0x9a966751, 0x5551a5ba, 0x416f6ab7, 0x15b312be,
+    0xb95bd2af, 0xc02107ca, 0xd2a03227, 0x278cc527, 0x1bd36fcc, 0x92c06d5f, 0xdb321db6, 0xecebb292,
+    0xd0bf35f8, 0x5c93d14d, 0xb73c3fdb, 0x205df156, 0xbac94630, 0x22cb66be, 0x5b6dde2d, 0xcf14639f,
+    0xa8705900, 0x8c6227fb, 0xba667821, 0x191e62e4, 0xe2b462fc, 0xcb16fd1f, 0x6aff3e9d, 0xe5269616,
+    0x56d80060, 0x594907c4, 0x9e4d57e8, 0x3ce63e6e, 0x7e1cc281, 0x078bbc16, 0xf1c95a48, 0xb65540a3,
+    0x7980ace1, 0xba965d4d, 0x2e694c55, 0x2342a71c, 0xb6431957, 0x23725961, 0x78cdedfc, 0x61ffaaba,
+    0x2b0308e3, 0xa57a2272, 0xe4c3efa5, 0xddecc0aa, 0xcb4c7f01, 0x2b716b1f, 0xeb5c3ee1, 0x5579b8af,
+    0x3b6a977c, 0xa904453c, 0x229aec11, 0xfbc742e7, 0xb16a0948, 0x65bd9d45, 0xba78c615, 0x6c7e25c6,
+    0xae044c96, 0x17cb85fc, 0x0ec9ed72, 0xbb9cc29a, 0xcc2ceb3b, 0x7303f849, 0x94922908, 0x1287eb48,
+    0xfc6892c1, 0x78c5998a, 0x8c04e60a, 0xe3100ce0, 0xbdced443, 0x8a2a363e, 0xd456690f, 0xf2ffacd6,
+    0xe60baadc, 0xf0c575a3, 0x03ce7ce7, 0x381efdbd, 0x5498fdaf, 0x1bd45385, 0x9de88329, 0xdb9e6543,
+    0x6479aed5, 0x0b625ea2, 0x38a385f0, 0x32587008, 0x4a1c81f0, 0xe64571f6, 0x4d95f3d3, 0x6cb10b70,
+    0xe9b5d9bf, 0x3f415478, 0x6bd080f3, 0x9a09d1fc, 0x5a7acf7e, 0x2beecf21, 0xbba43c89, 0x87b171dd,
+    0x0648981a, 0x0bb7ba07, 0xfd1b0ce3, 0xb4cb3273, 0x4752c6cf, 0x0cd8204a, 0xda58d448, 0xf751a9ac,
+    0xe24a9319, 0x443a995a, 0x47869b98, 0x766eb477, 0x28c726f1, 0xc34e6614, 0xbf997d75, 0x7b9359bd,
+    0xc287b524, 0x1ae35d1c, 0x43b3b33e, 0x51482fac, 0x11be6937, 0x5dbe3a86, 0xd0521460, 0x8584e173,
+    0xe0673ed7, 0xc4a40fe9, 0xce2ee1df, 0x8657b148, 0x0d9c4562, 0x2b6ae9ce, 0x0396604d, 0xfe15c6c5,
+    0x4b7d682e, 0xc25365c0, 0x52084891, 0x944a99ae, 0x6833186b, 0x65ad2f88, 0xa27d4989, 0x19e9f70e,
+    0x598f8db4, 0x2f7a2462, 0xfb3177b1, 0xe7c585e2, 0x498b9602, 0xd3001d53, 0x44058814, 0x2d25f3da,
+    0xcd1228a6, 0x64ff1aa9, 0xee1348eb, 0x1be45c20, 0x59eff312, 0x9b620dca, 0x36a31f0d, 0xbc9a57f7,
+    0x98ae1cef, 0x824074ff, 0x39052878, 0x50d97abc, 0x45de8f39, 0x334b4ad1, 0xc8e1394e, 0xbcf44c86,
+    0x12a8e23b, 0x71b951ff, 0xbbf11568, 0xf4b143e7, 0xa1958e90, 0x3d6032fc, 0x0049f14d, 0x9656da15,
+    0xee569eff, 0xe269eff2, 0xd38ec1b0, 0xeb3aa91e, 0xd5c4f20b, 0xa06ceea0, 0x6f90e436, 0x89fba3fc,
+    0x0321fcae, 0x697c9cb1, 0x350f4c9d, 0x9d273390, 0x0b030cbb, 0xa8ae55ca, 0x6489be3d, 0x9684145e,
+    0xe3f2385d, 0x4b63a6d1, 0x3d034eac, 0x1f5de14e, 0x886228e1, 0x24ab4aa8, 0x962cb1a3, 0x73b89773,
+    0x926f4af6, 0xc21dc488, 0x7d44290c, 0x4f888974, 0xecfe9cf2, 0x1018fb4e, 0x4a7d6cb5, 0x6c8c01b2,
+    0xa3162047, 0xb882833e, 0x172bab7a, 0x66eb202d, 0xf849317d, 0x889da2f0, 0x06a45154, 0x31923b40,
+    0xd157d1d6, 0xd40f3a85, 0x4593ec1a, 0x894febc7, 0xfe6c21b5, 0x17a3fd45, 0x3efc649c, 0xd7a0f07a,
+    0x1ecdabfa, 0x99a86bec, 0xcd134393, 0x7377d653, 0x242711af, 0x9ccef064, 0x39635baa, 0xcd41994e,
+    0x7c284589, 0xd7ee981a, 0x0f934e83, 0x7d5d2769, 0x1051038c, 0x6755d9ce, 0xe8c95907, 0xac8e4361,
+    0x6eec62f7, 0xc8ebdd40, 0xb7a87b3c, 0x0c4cfbf8, 0x12103950, 0xa30d163b, 0xcb5170c7, 0x5cee19d7,
+    0xa2aba84f, 0x41b28f6b, 0x15ccd078, 0xa7ad962a, 0x31f10643, 0x950bacf4, 0xaf3ee40c, 0x7e83cbda,
+    0x2a871f89, 0x5ece62c6, 0x719eb3d7, 0x9a1f103b, 0x11a48717, 0x23eb5f7d, 0x8d2b539e, 0xa16d8160,
+    0x00000000,
+    0x9d1f125e, 0xef4eea8f, 0xce833287, 0x404173c2, 0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed,
+    0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000044794894843556084211148845\
+                         61136888556243290994469299069799978201927583742360321890761754986543214231552 */
+  { 0x00000000,
+    0xb3859df7, 0x826e1919, 0xc36e5d87, 0x24acf2dd, 0x4c816269, 0x3f7fe91c, 0xa47f4a06, 0x70415327,
+    0xf37d5737, 0xdb8b0d4a, 0x2da3c50b, 0xe520e792, 0x70a5851a, 0x1d78b21e, 0xb1a70a67, 0x3c10ec8e,
+    0x47d9faf1, 0xd50835ac, 0x6c9c6a0f, 0x3d07612d, 0x1b77ff2b, 0xcef4e20d, 0x4d7c95a1, 0x66982157,
+    0xb7501112, 0x50035e3b, 0xa110e78a, 0xb1016cb3, 0x1c058bbe, 0x9bbc58fa, 0xf73d76b2, 0xbe02fc8e,
+    0x75adc342, 0x5991cb06, 0x55740ac4, 0x66607eed, 0xe6361276, 0x4db995e7, 0xb715d945, 0x87c76bd8,
+    0xd7f1d139, 0xd840068f, 0x201fb9d9, 0x24276ef9, 0xecc02bac, 0xde1e54f1, 0x498b5bfe, 0x6b8d6c6f,
+    0xed3576b0, 0x25877501, 0x25283afd, 0xd7dc8ddf, 0x86180c2a, 0x1e07aaa4, 0x57c746d4, 0xea4e8b0b,
+    0x18d5928b, 0x159c76e0, 0x600b49d1, 0x67ea509e, 0x7fcbfbfa, 0x1d559357, 0xe1a805c8, 0x2abd2273,
+    0x8486748b, 0xf2dfa00e, 0x59c73695, 0x6adabe36, 0x123091ad, 0xac7b3bde, 0x4fac470e, 0x93d9fe5d,
+    0x4b36ee3b, 0x7fc4b46e, 0x55282446, 0x7db58e0c, 0x1efd6eea, 0x2a62ce7e, 0xbf39c780, 0x382d135c,
+    0xdc2fe290, 0xe2e2a0eb, 0x5117f6ba, 0x3de604cc, 0x903309e0, 0x7fa82b95, 0x3d6f5449, 0x1af899a4,
+    0xa171c4a7, 0x607e547e, 0x6173e3c3, 0x851aa2fe, 0x29f5163a, 0xf4d6b732, 0xcc63ea37, 0x26c7b270,
+    0x2b78e776, 0x4808467c, 0xba8161d1, 0xc746aff0, 0x0f99fc1c, 0xe2bde7e8, 0x4896658e, 0xff3d4e18,
+    0xcc23fc78, 0xfe62fccb, 0xa213917d, 0x9a94a023, 0xb2a9b7e4, 0x8562dd71, 0x433f2f13, 0xc1bba05a,
+    0x8cd24491, 0xc8749a27, 0x75397d8d, 0xb89a7d6e, 0x374ac078, 0x2fa7eed1, 0xce6365ca, 0xff811542,
+    0x08db1087, 0xda415215, 0x28bc9228, 0xba26d5b8, 0xadb0dfe2, 0x9e577406, 0xf41aacea, 0xa6ba9e7d,
+    0x03fc3a3b, 0x219fbd61, 0x4e166c0f, 0x825e0aec, 0xb868a076, 0xc2d43149, 0x1d93812b, 0x7372feba,
+    0x2f25886a, 0xca87e03d, 0xd2cc9723, 0x6fd89d1f, 0xa50c3250, 0x0501a7de, 0x1792a345, 0xfce5d5ba,
+    0xa1cefa2d, 0x236c6d0a, 0xdaa30ebb, 0x7d140860, 0x135027ec, 0x61ecb638, 0x3d01cec1, 0x2a3d3a9d,
+    0xce6bafa6, 0xbc7a591d, 0xdfcd4397, 0x61d92700, 0x665efdac, 0x66935480, 0x122bf836, 0x5034e19b,
+    0x6c1d8de5, 0x6108ef2f, 0x452abeae, 0xc7c7cdc7, 0x7870f0d6, 0xa3741acd, 0xf92177f1, 0x2792d71e,
+    0x3a97785e, 0x1d2f6c06, 0xa6923d63, 0xea91f5ee, 0x774f2604, 0x2d03ee65, 0x5da2bfc0, 0x5c077ff4,
+    0x862c4722, 0xc36d5cf9, 0xcae6ef08, 0x3578d2e8, 0xd4a05b8e, 0x54b0cd02, 0x6c3b29c1, 0xd00d6ca4,
+    0x50c652c4, 0x6b418a9d, 0x63bccb2e, 0x3d034224, 0xabd8f9a7, 0xada6639e, 0x163a0b40, 0x93dba6b4,
+    0xd222f897, 0x781fec54, 0x9a2d18c8, 0x22e6600f, 0x292851b4, 0x60f2fd80, 0xf3c2762f, 0xae2915a8,
+    0x30889140, 0x9d4db464, 0xda96f22f, 0x5b3e4231, 0xfe529e9f, 0x9ac65141, 0x4bdffae1, 0x9242b276,
+    0xc87a993c, 0xe4b415c9, 0x6f3d3dc9, 0x4bdf28e7, 0xcf4a1d97, 0x1be0171a, 0xc45ced3b, 0xde1a869d,
+    0xce767237, 0x8feb96c6, 0x0d5d5dfc, 0x892d373b, 0x11452527, 0x2433c8fb, 0x1fc20d47, 0xcd9267df,
+    0x8e318540, 0xbdd30c7f, 0x07642ca3, 0x40b67416, 0x0379b363, 0xf0246e37, 0xf78d0c50, 0xb3c5db01,
+    0xaf8f831c, 0x767dcdb5, 0x0c43bd9e, 0x66a7422d, 0x07396eb4, 0xce22572f, 0x8fd87f48, 0xf01f630d,
+    0x669f8913, 0x7804b09c, 0x237c2f58, 0x9964d62b, 0x4e6a8252, 0x38856223, 0x1a6b76e0, 0x5318197b,
+    0x4d9e295c, 0x2e99597b, 0xe30af5db, 0xc7cc039b, 0xeb0fcd69, 0x454acb78, 0x980b84de, 0x73851e56,
+    0x5bdf7d5d, 0xb58e5a9b, 0xa0ad4028, 0x40319e0a, 0x1cb5cbb9, 0xf9b8284e, 0x99b57b1b, 0xf887dc22,
+    0xd1df9322, 0xf06b594c, 0xc5189d30, 0x0b19f0e3, 0x2813b7fe, 0x56eaa9aa, 0x6cce8203, 0x76a72beb,
+    0x3b76cdd5, 0x0ad14ee1, 0xf0b85712, 0x45f3f89c, 0xa6a62fb5, 0x1d9a96a8, 0x4f8ce0ec, 0x08ecc365,
+    0x1827b704, 0xeccf8609, 0x9209eee2, 0x4c99cab5, 0x6ddd217e, 0x188bdf1b, 0x4ca9711f, 0x6014a9e8,
+    0x70601571, 0x1d39f968, 0xd3158923, 0x22f008d5, 0xfd5a4d0f, 0x504ec0bf, 0x811e1dd3, 0x8951b8bf,
+    0x61bddff6, 0xe43031f7, 0x7e3f875c, 0x94994053, 0xdf44cfaf, 0x23a65292, 0x858a996e, 0xe13cb44b,
+    0x5d5c76e7, 0x78eec646, 0xe13bbe3d, 0xe7126a5d, 0x46c444ed, 0x34665f78, 0xdfdb95ca, 0x9a75f73f,
+    0x513bf0aa, 0xb467f33c, 0x7fbfbb37, 0xa3b67958, 0xa12bef34, 0x009cc60d, 0xda573b13, 0xbe416f46,
+    0x2e48a45f, 0x93a22456, 0x59b13ab2, 0x07c7509f, 0x54a483c8, 0xa377aed8, 0x7d452951, 0x3834fd77,
+    0x0b5338eb, 0xd9d30bab, 0x2bbdcc1c, 0xed860691, 0xb07eeb25, 0x2ab1f722, 0xdda43e71, 0x22cd86ff,
+    0xb47c086c, 0x29f82d84, 0x63b14e8c, 0xaf198bbf, 0xc948397a, 0x4bf9e5bc, 0xb4d22a99, 0x97782574,
+    0x04229514, 0xbab39726, 0xdef64f6e, 0x3ef5ea95, 0x7a436db8, 0x9ec3013e, 0x8988603a, 0x0ad71ebd,
+    0x204b5e91, 0x8913d708, 0x8db1effc, 0x77085328, 0x5b925424, 0x9855ffe9, 0x22ca1d6d, 0xb20ab9ef,
+    0x91f09b9e, 0x4fd8bbbc, 0xfffe9811, 0xc9511b92, 0x1e3918c7, 0xd1d474a7, 0xd9aff5b8, 0x6fb6adb7,
+    0xa5a19d4c, 0x67e6476d, 0x56e14a78, 0x5a1494d7, 0x7b270aa8, 0xadefbd53, 0x69ee7dd8, 0x125d4b6b,
+    0xd1a30a2f, 0x195a41ff, 0x6954f088, 0x0a8b3d7a, 0x59588a09, 0xcc066f0d, 0xd85f6810, 0xaf183821,
+    0xde742417, 0x650b8920, 0x31cd84d7, 0xe9bca099, 0xa34b1613, 0x28c7b1c2, 0xf17e0747, 0xf999c3d6,
+    0x3105ca0f, 0x4623cec4, 0xfa64b6f6, 0x0ffa600c, 0x2c83695f, 0x632fbc1a, 0x4864a063, 0xf709daa8,
+    0x22d53f3f, 0xf40dbb70, 0x038a90e2, 0xd1e095cb, 0x2852fc11, 0x73e9df3d, 0xb5d1d19b, 0x559053c0,
+    0x64ae402d, 0x11a08dd8, 0x40113e9e, 0xb2ad260e, 0x2a707ed1, 0x6679838e, 0x4aa83982, 0x45a299b2,
+    0x9c19b3be, 0xe26b737b, 0x46b521f5, 0xe9d20fae, 0x0090905e, 0xf06ce422, 0x77f0f3c8, 0x92e532e5,
+    0x19b66ac5, 0xa6c50214, 0x705c60c5, 0xd0bffeea, 0xb8ebe1b2, 0x3bfc557c, 0xb84a2cdd, 0x223f850c,
+    0x34f80911, 0x49fe81a0, 0xdb118fd7, 0x53a47bcb, 0xb7d540fb, 0x7655171d, 0x25898db6, 0x2aac91fa,
+    0xb7733500, 0x01e37015, 0x07f3364c, 0xd976cd24, 0x75deaa2a, 0x5c224787, 0x1476852b, 0x3fdd3518,
+    0xd0e70786, 0x072d9842, 0xfe6b957c, 0xc65618f7, 0xb48c8ad9, 0xdfb44d63, 0xdcfc3dad, 0xe8da3429,
+    0x189734ea, 0x66cc3e78, 0xbc10a94b, 0x6995f5ed, 0x97ead355, 0x8c03881d, 0x6678d55c, 0xb63404a9,
+    0x00a34080, 0x179687bc, 0x71ce5fa0, 0xb800d8ac, 0xb3a51f09, 0xbe8feae7, 0x061889dc, 0x4630a8b5,
+    0x9145b70f, 0x5693623f, 0xac388af5, 0x87825c54, 0x37e5dc22, 0x065b9998, 0x4a7c489c, 0xbaca7a5b,
+    0x2a3054d3, 0x6e6cd6c9, 0x216fdd47, 0x0710b415, 0xbfd3be13, 0x526ea76a, 0xaf2bb418, 0x89408560,
+    0x2d9d4224, 0x2e8e44d9, 0xf55076fa, 0x63b53cfb, 0xb04cdac4, 0x8cddfac0, 0x1a21540d, 0x4944f7f2,
+    0x6cb0847a, 0x9de737a4, 0x3923ca59, 0x6c229497, 0x780e6949, 0xd57f2297, 0x5ac33160, 0x1f2fa357,
+    0x0d632b83, 0x38abdeab, 0x3945b340, 0xa48be858, 0x83f7082d, 0xc87a6d82, 0x30fee66e, 0x2b02e019,
+    0xc2bf94c2, 0xdd67047e, 0xfcadbe2e, 0xc8fec9e5, 0x92a8d668, 0x70377825, 0x89947e3b, 0x49bd4496,
+    0x78c3f2ff, 0xbe13f832, 0xf22233fe, 0x1b42caa0, 0x05d42e10, 0xc86a71fa, 0x0db9c035, 0x2dbdfcca,
+    0x28f317bb, 0x194db7c2, 0xff8af31b, 0x4c059b4d, 0xb67a9e7b, 0x53a3d83e, 0x91e48f21, 0x6d4eb5db,
+    0xbfcecd01, 0x145897d6, 0x7b919be7, 0xdd1c6e7c, 0x56a428e6, 0x22e2b405, 0x42dfd54f, 0xcaf96c59,
+    0x868eb382, 0x9eb34677, 0x4c42a5a7, 0x0a6cc057, 0xd0681774, 0x6d904727, 0x920babc6, 0x81f89126,
+    0xe50febc0, 0x561952d2, 0x5cdb7807, 0x1e6e3a12, 0x069e4a15, 0xf7d48fd2, 0x5cdcc046, 0x007eb171,
+    0xab21ab93, 0x19a6b5f6, 0x497c313f, 0xb4e4a4bd, 0x9c0d3e0c, 0x81a49da4, 0x4d7c2866, 0x36d2fb29,
+    0x64edf996, 0xedc0cf95, 0xc498b598, 0x24063466, 0x52e8d84b, 0x928eeea3, 0xf066de1a, 0xeac7bd6e,
+    0xa0006dc6, 0x407f863e, 0x4d78aa2c, 0x2ea1615e, 0x7461781b, 0x7504b24d, 0xe3242ea8, 0xc71a440b,
+    0x5abc63db, 0x4cb0600a, 0xba95da8f, 0xe89a400e, 0x896bae0f, 0x1008ec03, 0xb800607d, 0xc46399a6,
+    0x0a7521de, 0xe45e7fe1, 0x8499df1e, 0xa7680581, 0xd47978ee, 0xbeab012b, 0x3f375b1b, 0x13f0ce6e,
+    0x5602a8fd, 0xae100e26, 0xb8bb0c56, 0x08854ed7, 0x50adf48a, 0x6407e1b6, 0xecd4088d, 0x0e4be874,
+    0x186a87a4, 0xb074a4ad, 0x3ee07222, 0xc5e54f9b, 0x56971568, 0x0c8ff657, 0x1cf5d651, 0xa2ce11dc,
+    0xf11bdf50, 0xa3f02fca, 0x4c42269f, 0x89698a7e, 0x76d52a9a, 0x0c7ea643, 0x1c9a5774, 0x1bfea4ee,
+    0x369c42fc, 0x56a1936b, 0xdad34527, 0xef3da228, 0xb7e973ad, 0xf79eadce, 0xdd7b0f90, 0xa2d7ccef,
+    0xde2747e1, 0x0583b64f, 0xb1dd2117, 0x3f1d2ee4, 0x702ab2dc, 0xb0c0bc99, 0x2ed937c4, 0xf8d4ee75,
+    0x9214eca4, 0xaa6ff48a, 0xe37da304, 0x739f04ec, 0x7b12169e, 0xdaa6ba07, 0xd010656d, 0x6d27de86,
+    0xcb9338e6, 0xecf5a95c, 0xcda14798, 0x70a62941, 0x74cbe703, 0x3dcc21ed, 0xc836e0b1, 0x2cd4e289,
+    0xe3e737fd, 0xb71ad227, 0x670f241a, 0xa789ffd2, 0xf0ae8d40, 0xd7907396, 0x4de22161, 0x74c5204a,
+    0x92fb7b5d, 0x0619fe4e, 0x92f63391, 0x289c67c5, 0xb182e99b, 0x1abe9a00, 0x7592903c, 0xc10c9522,
+    0xdd5ff25c, 0x634ffa73, 0x0b4c39fb, 0xf879d2c2, 0x17fb9b49, 0xe938c4bb, 0x4d19d9e4, 0x74235416,
+    0x42e95ffe, 0x7892e95c, 0x183318de, 0x606ad9dd, 0x03dc9a0e, 0x55bf7e5e, 0xf8ecab39, 0x3c05a5d9,
+    0x0c642281, 0x92e5c21c, 0xdc9a5283, 0x5b29f07f, 0x67a36b5d, 0x4835e19a, 0xeb1af354, 0xe747c308,
+    0xbcac2b07, 0x83a9fa96, 0x3696a090, 0x2cd77a8d, 0xbedcbb44, 0xa2ed69f5, 0xbc49a251, 0x2f5a7c3d,
+    0x32be4835, 0x56450b07, 0xdf435504, 0xf6f33f23, 0x42256104, 0x09068642, 0x8c87e0a5, 0xead8a83d,
+    0x176a5d8a, 0x0d895713, 0xeaec20ed, 0x31fd42a1, 0x03b8b5dc, 0xef630bdd, 0xd6477003, 0x712e61e8,
+    0xd7c46a3f, 0x1da3fb5f, 0x1b61fcbd, 0x8227ca81, 0x74230fdd, 0x71f0bc43, 0xb7613a0b, 0x3a8b57eb,
+    0x98715bca, 0xe88f601c, 0x606f29ae, 0x28c7325b, 0x9ecf219f, 0x24efbc37, 0xf7590744, 0x42b442da,
+    0xbb9f2b03, 0x3227e7e9, 0xb5c9fdaf, 0xce047d36, 0x7bee15fd, 0xb69c6edc, 0x4b146856, 0x7f40cef7,
+    0x40404260, 0x69adf4de, 0xf6b18f4e, 0xa84faaf9, 0xa5a2a4d9, 0x25d3f05a, 0xfb990a15, 0xf624816d,
+    0x6b104d12, 0x3f838589, 0xa536aa09, 0x5c44d9c8, 0x8233c79e, 0x2d644d63, 0x0d534555, 0xa9a8a03c,
+    0xac630070, 0xb4047ba6, 0xa0ca497b, 0xe2aad218, 0x8b34d58a, 0xc215adba, 0x41d96e8d, 0x6acff236,
+    0x73001eef, 0xff2f6d33, 0x1b7d016c, 0xa63d8e7f, 0x372f4d33, 0x4866f947, 0xa21297f7, 0x89760e6a,
+    0xc8e69d9d, 0x863943dd, 0xcd413d46, 0x99df9f21, 0x985b967a, 0x28c7152d, 0x0d2d494a, 0x74ac60fd,
+    0xc5803432, 0x9c603700, 0x2bb87c18, 0x7b048253, 0xe066882c, 0x2117f856, 0x3d06c85f, 0x1958e367,
+    0x395ddd87, 0x2c83fda8, 0xff4f6245, 0xa364d5e1, 0x8b7dcbe6, 0x24694fe2, 0x085e8c28, 0x7f8acca4,
+    0xd5cdead3, 0x06ef17e8, 0xd17e2fbe, 0x3977b92a, 0x43c84382, 0xeb8d2208, 0xe8169cf6, 0x3229a3a0,
+    0x767128ae, 0xc1668f3f, 0xffbb51a9, 0x66be2d4e, 0x1652737f, 0xa68e0d7f, 0x5f48b6af, 0x033a9720,
+    0x3c4c1503, 0x236c6c6e, 0x3bb58a9e, 0x4c6ccec0, 0x5e0fd7bc, 0xcebec2bb, 0x82645b51, 0x1398c125,
+    0x4fdaf481, 0xd3d2bcf0, 0x7e367550, 0x78f3a026, 0x952c2465, 0x7152a06d, 0x27b9195b, 0xc09f95ab,
+    0x354e6971, 0x06e02d48, 0xe9818e05, 0x67942584, 0x2815f3e9, 0x70a6aae3, 0x1b2e0a94, 0xf8f35a6c,
+    0x95dd242e, 0x4796cc1a, 0xb9a29b20, 0xdd86118b, 0x677e8bf9, 0x3d489f40, 0x2e1f28b6, 0x0d44b8b5,
+    0xf1979c3b, 0x26b4c5e1, 0x889038fa, 0x84684722, 0xa4948900, 0x3b58f5bc, 0x784057dc, 0x6d006597,
+    0xa7e17b79, 0x0b46022b, 0xbb2efeb7, 0x0036511f, 0x5a828715, 0x0a281183, 0xcae3dfda, 0xc7571425,
+    0x73156369, 0x12e3a022, 0x7926b210, 0x03e83229, 0x28fd7964, 0xba43a7d1, 0xe2840054, 0xfd476faa,
+    0x87191cdc, 0xe12bd94d, 0xd92f6b75, 0xe1f69299, 0xf8010412, 0x62fee8ad, 0xa330b51c, 0x19842989,
+    0xf7c50a9b, 0x8110fa3c, 0x0359f363, 0x98889482, 0xd7906e41, 0x76dbfcc6, 0x82355558, 0x139d0e42,
+    0x7a0badfc, 0xc9f1886d, 0x03099c3f, 0xd13d8e90, 0xa559d002, 0x0731f4fc, 0x52cc4e60, 0xd0645cff,
+    0xc43e3c59, 0x8c3b3299, 0x58ab4447, 0x3f52cb5b, 0x75b67529, 0xf234aa39, 0x3c4c87b5, 0xaba445c4,
+    0xbb10cb39, 0x87ffa666, 0x8245a1fe, 0x0de2237c, 0x50c0fe3b, 0x9f023419, 0x213d5e17, 0x746d7dec,
+    0x620ab060, 0x36f997c0, 0x08f54a7a, 0xcda3f77d, 0x325d8fb5, 0x119b624d, 0x4ed343dd, 0xe28982a6,
+    0xa03f450f, 0xd9c202fb, 0x32086880, 0x022a9c70, 0x590bb7a6, 0x3cfbed0b, 0x45c28395, 0xc89f550d,
+    0x6342c6dd, 0x00344f40, 0x28546c62, 0x18664e00, 0x5869ea82, 0x67c41b49, 0xa9fd3495, 0x1d4d9f41,
+    0x5e6ef5cf, 0x3ed1f57e, 0xd8fa89ca, 0xa32b5304, 0xfb9e45db, 0x4f0379e4, 0x0ae6417d, 0x9485b360,
+    0x6b5d5bff, 0x883c68e6, 0xa2406758, 0x00389836, 0x4f68dafc, 0x710996c1, 0x772ba242, 0xe5242f3d,
+    0x527c8362, 0x78577e88, 0xa0e7b3ed, 0x4fd49f62, 0x032ada96, 0x619afb40, 0x1baf37e5, 0x7b80d146,
+    0x24bfa2c8, 0x1f58d724, 0x3cee6636, 0x74003b2d, 0xf062ac51, 0xa2550722, 0xd98bdff9, 0x45cecce7,
+    0xb5bb9b2b, 0x51730ce2, 0xd4daa22a, 0x6d08b606, 0xb19fe506, 0x837ac293, 0xb7b46e75, 0xe9aaeb5d,
+    0xa672e094, 0x8b998f52, 0x2d7cb6e8, 0x76675bad, 0xb892a3e6, 0x270b3ad3, 0x1d4e247a, 0xc9ed44e6,
+    0x7da2174a, 0x83de82d9, 0x9abbdad9, 0x123130e8, 0x223d4bcb, 0xb8f6c29c, 0x1f62c201, 0x42ad9ed0,
+    0x61019d1a, 0x7d2d37bb, 0xfe6374d3, 0x1e3d4546, 0x2d3898f1, 0xffee12bd, 0xa9b34682, 0xfd9c86ee,
+    0xe7e6a144, 0x7fbca81f, 0x931e9f93, 0x019d36d0, 0x24e31c7f, 0x669c9c0d, 0x33eb0e84, 0xcb4968e0,
+    0x00000000,
+    0xce8f892e, 0xf7a77547, 0x67419943, 0x2020b9e1, 0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6,
+    0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000022397447421778042105574422\
+                         80568444278121645497234649534899989100963791871180160945380877493271607115776 */
+  { 0x00000000,
+    0xdfed1c6c, 0xdc698ff7, 0x80a75bec, 0x6387add9, 0xeb52dfaa, 0x547976c2, 0x89926b82, 0xf46b63e9,
+    0x5ed0e4ad, 0x9e2423ec, 0xf07906aa, 0x19c587aa, 0xe931536e, 0x44c3aa68, 0x7ccbf3b6, 0x3a29e21c,
+    0xc2e7e5d3, 0xafb0a244, 0xa9389d1f, 0xd8371960, 0x6732fb82, 0xe90f5f05, 0x15466460, 0x5590b4e2,
+    0xa9a7a1e3, 0x4e18dd9e, 0x05d40571, 0x3def0af0, 0xec60694c, 0x93f7d9aa, 0xcb218de0, 0x5a50064b,
+    0x8d3f69e2, 0x3b34d998, 0xbe2cf2ab, 0x0bcc50f4, 0x6f0ab5f9, 0x63dcfeab, 0x3c32bbdc, 0x711e5f37,
+    0xd4369f21, 0x50a7752a, 0xc4a35f36, 0xfbb5b23b, 0xc55098e7, 0x4fb896e9, 0x6ec6209a, 0x37cab250,
+    0x40e4b665, 0x6c9c34d7, 0xa1cc0391, 0xa6845961, 0xf34c4310, 0x8652f030, 0x0ee37792, 0x54a75e7a,
+    0x14cfc47d, 0x59935da5, 0xebf7a693, 0x1aa5a8d7, 0xb3e98913, 0x22ccaf2c, 0xb95ba0fb, 0xfc90a179,
+    0x2f92406a, 0xee6796e9, 0x239aa741, 0xfe4cc29c, 0x622fd457, 0x2a3ce569, 0x066a4641, 0xeaf7d6bb,
+    0x429a141f, 0x4dafa2c3, 0xc695855a, 0x8f3ef303, 0x62657e7b, 0x59a320b5, 0xecd8ac08, 0x6e53a953,
+    0x9962bc6f, 0x40c7cce9, 0x1218e926, 0x38e698d8, 0xbbfd878f, 0x362a4b70, 0x6ed84f76, 0x6687480a,
+    0x18d135db, 0xb904e943, 0x4fb97685, 0x1d6a7502, 0x2bda770d, 0x408b4a63, 0x1ae95300, 0xc52a907c,
+    0x585554a3, 0x4017ed31, 0x089a7065, 0xf8559b97, 0xda90f203, 0x14fe6926, 0x85de002b, 0xd10f9694,
+    0x3f40f45b, 0x35c1ac25, 0xf0fca36f, 0xb5c9092f, 0x170b811a, 0xc28e180e, 0x27a5988a, 0x8a7f596d,
+    0xf671025f, 0xaafd3afd, 0xd47e808e, 0x8ab22eaa, 0xfb2680fe, 0x4108723c, 0xfb474dca, 0x5269051c,
+    0xbeb49f15, 0xb4595830, 0xc6e2b456, 0xb8f79ef0, 0x48f923ed, 0x62efabdc, 0x0a167c2d, 0x4979f6fc,
+    0x3653f523, 0x12c907e0, 0x85fa7367, 0x2c6f876b, 0x5dc73c80, 0x5a0f6eac, 0xfde85852, 0x5a56fd4d,
+    0x5c043712, 0x51efa781, 0xe217746e, 0xe4d9d125, 0xe318419a, 0x780640a6, 0x71be379e, 0xd03b5fe2,
+    0x6239dabb, 0x16ee5860, 0x7d7210ce, 0xcb699652, 0x3c3ea69f, 0xd4ac5790, 0x8021450d, 0x88730a85,
+    0xea54bc4d, 0xa27cc71a, 0x1e0ecab7, 0x29ca6468, 0xc3006a60, 0xdc35e212, 0x6d81735b, 0x26d1af67,
+    0xa4d3d475, 0x825fe40d, 0x31db05db, 0x86773ad6, 0x8fc3312d, 0x95675c5d, 0x2cbfa474, 0x90f51f18,
+    0x85e6aafa, 0x3ef3fce5, 0xa3665e42, 0x00a98ae3, 0x0d26e36e, 0xac2874c0, 0xa84f6b79, 0x8af15536,
+    0x394f307c, 0xd7763771, 0xb7f4344e, 0x9be362e3, 0xf1e112bf, 0x0e24fa91, 0x3a2e3bdd, 0xb9234c98,
+    0x8efba1ba, 0x4012df3b, 0x98795e74, 0x67061333, 0x638a655f, 0x2b9e7150, 0xcbe554e2, 0xbdc8dd24,
+    0xbc148053, 0x00a433a2, 0x91fa87e5, 0x826f8ac8, 0x852c54e6, 0xe2b42ab6, 0xd7a35586, 0xbbe74a28,
+    0xa7dd89ef, 0xd33c143d, 0xb6be4f55, 0xee1f512b, 0xaa599412, 0x3d685ae2, 0xe4640e90, 0x21117162,
+    0x4829cb56, 0x0388a5e7, 0x26ec9240, 0x0efa5495, 0x20734992, 0x27ecc196, 0x93d0f99a, 0xadc489be,
+    0xf8679d62, 0x0273ee08, 0x5e0e7453, 0xce62e4b1, 0x839ad343, 0xfc63160d, 0x312fcfb4, 0x6f598429,
+    0x18ad9002, 0xd8a3a399, 0x6ba1cb8b, 0xba720b8d, 0x98d8198f, 0xefcf4ab8, 0xb2c58efe, 0x07cc1a6b,
+    0xac1cb5ac, 0x03a9bb9f, 0x0c59a7fb, 0x47d67579, 0x13002915, 0xdd76660f, 0x33c98230, 0xc970401b,
+    0x3d53a555, 0xa0631c8b, 0x72b6b616, 0x97d8d4ec, 0x952479e9, 0x2e919df3, 0xf189e1cc, 0xfe004ac1,
+    0x826a9e1f, 0x2585383d, 0x506089e7, 0x05f4969d, 0x8a36e3cd, 0xcc196c8b, 0x78d44352, 0x26fe0931,
+    0x3aea6587, 0x7aceeeeb, 0x370e0bc4, 0xfc6c947a, 0x9fe8c3fd, 0xff63e3cd, 0x8c85ed38, 0xa6a595ae,
+    0x1fcedb87, 0xe9aa6ae4, 0x1d70c095, 0xcae0eb2b, 0x7a4d1c0d, 0xf0cf9217, 0x2862bebc, 0x750b5526,
+    0xf9974f59, 0x883110c9, 0xb2d7d517, 0x05f7405b, 0xfa1fa64b, 0x741b07ee, 0x29b15661, 0x54bccc15,
+    0x626f3e74, 0xd80cd98b, 0x97e03b6f, 0x03421c36, 0x1109d066, 0x8e64b57e, 0xc76a4ccc, 0xcfcb8da9,
+    0xb70981cf, 0xc052f31c, 0x80bceb69, 0x30a7194e, 0x99a4fa2a, 0x2f49fda1, 0x94d84b7d, 0x78f06354,
+    0x4c209d6b, 0xeeb14b19, 0xf1131408, 0xb6caa7d4, 0xe2626d1c, 0x0c9862d0, 0x05d424f4, 0x03a4334d,
+    0xe72db675, 0x78eacea5, 0xee7daccf, 0xc279c4c2, 0x2c792d92, 0x3a5a5c63, 0x68ca4e57, 0xb1947037,
+    0x4295711c, 0x6889a71a, 0xcc79c9ef, 0x8a4919b2, 0x1734661d, 0x02d1c5be, 0xb091057b, 0x81776bca,
+    0xaa21f862, 0xec28e76b, 0xca1e7ec1, 0x5ef1ae7e, 0xdd0d96b4, 0x2637deac, 0x494220fd, 0x3a94b96f,
+    0x0a02435a, 0x2dd7fbb4, 0xbd1b6189, 0xbddbebec, 0x7bfa3a17, 0x7e92c9a6, 0x91f17a7a, 0xfe0d7403,
+    0xe1640066, 0xeae38586, 0xba074665, 0x69795d09, 0x2e881374, 0x53c467d9, 0xa9c68773, 0x6b46405a,
+    0x2869c10e, 0xab818626, 0x8e22938e, 0x96e2e234, 0x78a3f81a, 0x25cef930, 0xa0f3d1d1, 0xdb7e407f,
+    0x2db41afe, 0x418c9595, 0x964be6d2, 0xf51ca500, 0x00738ad3, 0xedf9cb74, 0xc8248da5, 0x2f289df3,
+    0x743f5a03, 0xda9e5ad2, 0xdf7064b8, 0x951e8833, 0xa6d78df0, 0x6b528472, 0xcf1719dd, 0x8280e8d2,
+    0xbc28cee7, 0xaa9f14d7, 0x134c6996, 0x4302013e, 0x73de294f, 0x5e34683c, 0xdfea8bd8, 0xba66c085,
+    0xa6c801aa, 0xe127c153, 0xc3b45552, 0x7b57eddf, 0x0ba96128, 0x13a9b244, 0x067b10ef, 0x52b3a0f4,
+    0xe038b002, 0xf0de5ed0, 0x736eff5e, 0x30f771fb, 0x3f5ad7a3, 0xabbd7d81, 0x22b3dc36, 0xef865b55,
+    0xcc78b582, 0x22f27dd8, 0x3a195d22, 0x9a8f0dae, 0x184882b6, 0x3586b33a, 0x47b38ae9, 0x8ae81c51,
+    0x61e1f3b0, 0x37dcc97d, 0x63fb43ca, 0xa6d995ac, 0xfd3bc3aa, 0x5a968079, 0x727060a7, 0x63c53260,
+    0x65de1a52, 0x4a499b4e, 0xc5b38a40, 0x05acda8b, 0x93ec04f9, 0xd350bf61, 0x90a90fa3, 0x6d7f40e2,
+    0x1cfbd52a, 0x5c51a037, 0xb172e84a, 0xa3de98f5, 0xdae1be97, 0x4b912d8d, 0x60a2e6fa, 0xe85dff64,
+    0x2032e28f, 0x2524fe10, 0xa40de9ee, 0x96075024, 0xa2cd19dd, 0x1df0771a, 0x2081a719, 0xcee72b3d,
+    0xea7ceb9c, 0x5c7a0ea1, 0x12981793, 0x9ab57271, 0xd66743ea, 0x2b4b1d83, 0xa190b334, 0xe87f863a,
+    0x65d09d1c, 0x205c2959, 0x23043593, 0x306099cb, 0x7741b472, 0x1b9e09d0, 0x5005b9d5, 0x97978479,
+    0xceeb8cee, 0x365a0c32, 0xf9c8f3bb, 0xc5685ae5, 0x335476da, 0xd6bc3863, 0xd965e828, 0x587b4e41,
+    0xd690bfef, 0xbdc250e9, 0x7f046348, 0x618a74c8, 0x48a4cf26, 0x6e1cad89, 0xead732e8, 0x162c1f5a,
+    0x54835b24, 0x6d1fff57, 0xcf5ec584, 0x8a96f03c, 0x209f71d9, 0x50dce2a3, 0x2cf775e8, 0xfe7a98f0,
+    0x0eb71c1b, 0x81cd6240, 0x37c4abb6, 0xa7376a0e, 0x870e24d1, 0xe23ffeb0, 0x4a153b14, 0x2f60548e,
+    0x582f03aa, 0xd73f05d4, 0x088b8e69, 0x4bcc3fb3, 0x2ccf137b, 0xff84dada, 0x75ea3c99, 0x8a7afe27,
+    0x1841e84e, 0x76fa4c0c, 0x3ed68130, 0x424ae79e, 0x59161dc9, 0x1a51cf1e, 0xe0770121, 0xc79d8d79,
+    0x447b58a4, 0x3ea07ee3, 0x957ac1f5, 0x33c239eb, 0xd0166135, 0x52e9b1ac, 0xb32ee8f8, 0x9d993dd6,
+    0x06fd2b10, 0xa36028c9, 0x7831e620, 0x5d6b645f, 0xe0a094ae, 0x6ccac7e0, 0xdd32a7ea, 0x3e8185d7,
+    0x612baba9, 0x6d6ee817, 0x3ef51ae6, 0xbdfff04b, 0xd9b0cde4, 0x1e52c7eb, 0x64ee090d, 0xb217e040,
+    0xcf37b53f, 0xd4268dda, 0xfb87d564, 0xf512732a, 0x7de53499, 0x6ff69d96, 0x0c698146, 0x713f2a99,
+    0x71a18349, 0x03735c25, 0x9b514573, 0xe6275d30, 0x3ae9bc40, 0x6f5ae6e6, 0x2b14314a, 0xc4ffa501,
+    0x4df75c29, 0x762b5573, 0xb8781773, 0xae682195, 0x7cfc1136, 0xbe36d0f8, 0x2a3ca0f3, 0x85758757,
+    0x8d393638, 0x79d23517, 0xd9c9be6a, 0xd0aff340, 0x69e7f26e, 0x585c6eff, 0xc65ad9b8, 0x4c0d52eb,
+    0xbca8b319, 0x933fa279, 0xdfe16720, 0xececaae3, 0xf50876da, 0x7576e6f8, 0x6585daac, 0xa8300260,
+    0xbc92fd02, 0x71a9e24c, 0x5d9d0f0c, 0x155b447c, 0x6ddd9361, 0xac41d4e2, 0x249e12c0, 0x428a7c76,
+    0x84dabe5b, 0x97e5dbfc, 0x33d7eee9, 0x00f7cd79, 0x4a846700, 0xc289aedf, 0x69739a76, 0x089c41ea,
+    0x3817a538, 0x49b7a0b5, 0x8b5954f9, 0x0a0914c7, 0xb1be540e, 0x8db72ba0, 0x5f853783, 0x55ea1bcd,
+    0xcfcf6aa0, 0x807122cf, 0x12fc01fa, 0x1358c590, 0xa51ceebc, 0x5f5c62fc, 0x6eaf4595, 0x950c6cac,
+    0x4f996f12, 0xfeeb72b4, 0x69280e83, 0xebe2ca4c, 0x3364c46b, 0x2425ea5e, 0xe738b6df, 0xad95c646,
+    0xe4e60fc9, 0xb1a1682d, 0x8b6b3520, 0xab81bc0c, 0x7e03fead, 0x08a01fec, 0x52a92dcb, 0x638ccad7,
+    0xdc63264d, 0x46bc898b, 0x1210f71e, 0x50b7fb55, 0xb08a4c14, 0xec14cc4e, 0xd15a40fc, 0xa1902df3,
+    0x645686e0, 0xdbe5f930, 0xcfbbf810, 0x07f53802, 0xd96893b0, 0x3909814d, 0x10fab505, 0xc7684709,
+    0xe3136311, 0xb4f57034, 0x42ff921b, 0x860d347d, 0x019354df, 0x54669c71, 0x1422ba7e, 0x6c84b6a7,
+    0x393ba8db, 0x59bc4d01, 0x0ac32043, 0x0506980e, 0x924b3cd4, 0x0ae760e8, 0x1532be09, 0x53d2bdbd,
+    0xe1edbbbf, 0x5ce0c798, 0x2e2604c4, 0x74ba9889, 0xc02758ed, 0x4d59a89a, 0x3ccf7c3c, 0x520f8979,
+    0xe19d7272, 0xe29e781d, 0xb3c0e1d7, 0xa34cf759, 0x63a64909, 0xac5cd5cb, 0xfd608183, 0xadc92b4f,
+    0xcc96e4ac, 0xd53821b4, 0xc09c8ec3, 0xe554c8b7, 0x6240f190, 0x614c37d9, 0x5a9acb66, 0xb1baf902,
+    0x374b53c1, 0xb83edc38, 0x05ae9ebf, 0xda8dfc9c, 0xa7ee72ef, 0x6ae9b37d, 0x71ae5813, 0x10bebb7f,
+    0xe6678a9d, 0x2376f3fd, 0xced00280, 0x2ab19dd9, 0x6b2c61fd, 0x887348f9, 0x7d4d65e4, 0xf458a4a2,
+    0x9157eda6, 0xb90c5867, 0xbb5b4b08, 0xc4b7d29b, 0xd8ea5fc0, 0xc9762e21, 0x35ed808f, 0x81ee9d99,
+    0xeb1cce02, 0xf477d5e9, 0xa1dd9a17, 0xc340758d, 0x5f80ae14, 0x53d7dca5, 0x31ccae76, 0x1187b6fd,
+    0x5ee0708f, 0xa9a8718b, 0x10bb789a, 0x5747a36f, 0x07657b86, 0xc8bc144d, 0xd3646294, 0x61301f8a,
+    0xe26a6d93, 0x8c75f163, 0xd57a295c, 0xc2a06363, 0x3cb14ad3, 0x5ce70ff7, 0x1b74c6a3, 0x45460848,
+    0x888c09d6, 0xc064d149, 0x6be5b5b0, 0xaf1d4d68, 0x5d3c535f, 0xe53f69c7, 0x64856a2c, 0x2be564d5,
+    0xe0404e9b, 0x521601af, 0xa7d583a0, 0x657e8640, 0xbec13af8, 0x9d4eba1f, 0x4a65f489, 0x4cba4993,
+    0x53366ac7, 0x6f798e92, 0xf6908c3e, 0x1d1cc040, 0x24fb4532, 0xe13f154a, 0x87afdd67, 0xfc3defc5,
+    0x3d543178, 0x47e1f32b, 0xe31495e9, 0x44bca9a2, 0xe6d36e74, 0x09befd58, 0x72aa8d9c, 0x01beac0e,
+    0xb1c85240, 0x46bcf182, 0xd0177325, 0x28d7b735, 0x68187a47, 0x9aa6eff7, 0xa1c40839, 0x1276f418,
+    0x7bda6e53, 0x2ad883ba, 0x70caa9a0, 0x26d79774, 0x036da40e, 0x8b0cfc88, 0xd44b9167, 0x3d48981f,
+    0xb384a748, 0x95308b01, 0x61d8474c, 0x139a02ee, 0x0762e760, 0x92121acb, 0xbcd1c7b1, 0x379383d3,
+    0x0efcefc1, 0x0566631a, 0x34ae8cfd, 0xc0c0a008, 0x64f044ef, 0xb008a59a, 0x6aebb947, 0x56245d74,
+    0x6e11bce4, 0x010722ea, 0xc8404c70, 0x946e205f, 0xd9b5a532, 0x466f1128, 0xb46e99c5, 0x0a8c6d80,
+    0xceae2a2b, 0xbfbf87b7, 0x9bc18dba, 0xade42557, 0x53407a8f, 0x2acc94be, 0xf871126d, 0x1736393b,
+    0x2be725bf, 0x696d2b80, 0xcbc01c16, 0xce4df11d, 0x8edbc576, 0x52c40ce4, 0x41126daa, 0x1a253551,
+    0x20450b49, 0x1fad5395, 0x8222c72c, 0x3627a1b6, 0x3b348530, 0xb8732e63, 0x4e12d02e, 0x09afb638,
+    0x62571a8e, 0x8cd2a820, 0x5b4ac521, 0x3730034a, 0x62c5e6fe, 0x63f59f7e, 0xd1161b3e, 0x3f798461,
+    0x9e58630f, 0xc5a76688, 0xc93cf5d4, 0x5b66b000, 0x8fb10231, 0x386ad5bb, 0x497cd603, 0x3d9c4539,
+    0x5500579d, 0xbbd39c78, 0x9311df6f, 0x7a712f5e, 0x3a6b292c, 0xb00290b9, 0x9d9a148e, 0xc08a838d,
+    0xfa26e86b, 0x3faf44ad, 0xa2da33a1, 0x833ff768, 0x76d86cd1, 0x8ddc46a2, 0xab41c5c7, 0x7ebacd51,
+    0xe1749973, 0x246b21fc, 0xef78bd14, 0xfaa8a94c, 0xc9e1dad4, 0xd6bf1a29, 0x054dca6d, 0xebbb1040,
+    0x5da9d1ce, 0x8b5d1180, 0xc555848c, 0x5b090596, 0x9e72319e, 0xa457820f, 0x6939f809, 0x6980acd2,
+    0x386818a9, 0x065840f1, 0xa7e6b91f, 0x848373af, 0x7a7d0433, 0xfdc7b7c5, 0xc9890959, 0x1ede75ef,
+    0xaf7910c0, 0xf35cab2b, 0xb65c985d, 0x023bab73, 0x98634269, 0x1df14202, 0xb5f013a7, 0x6cf2fad8,
+    0x936f8888, 0x2de85fd5, 0xe74466f0, 0x98092809, 0x9b51b118, 0xea558ca4, 0x76511881, 0x9edfff51,
+    0xa186a459, 0x499860b8, 0xcb5a19bc, 0x5b8149df, 0x4de84257, 0x9e865a22, 0x788e63bf, 0xd6b9deec,
+    0x5833f564, 0xe7d74b13, 0x65f60a1e, 0xa8f38746, 0xd43905e6, 0xc7a8c8d4, 0x406de330, 0x40fd7b6a,
+    0x360b9d6d, 0x34b4857b, 0xb2dab162, 0x6d94ce62, 0xc37a2795, 0x60611575, 0x7a8a6c55, 0xc0751dfc,
+    0x0c9a6c8b, 0xb0eed751, 0x112dcc4e, 0x081b4844, 0xf6886e25, 0xe42d2116, 0xc7d19af3, 0x43de513f,
+    0x4fb46259, 0xfd7f966e, 0x2fcd9a97, 0xa29b781b, 0x89f6ed30, 0xa168ef39, 0x03205a34, 0x7afddc55,
+    0xe9861914, 0xad779437, 0xfd6513ed, 0x8034c648, 0x67c5aa5a, 0xf3350b2f, 0x5d5fb5cc, 0x69f94d16,
+    0x80ad0c9f, 0xe098c99f, 0x62842be1, 0x28016dfd, 0x4fe89caf, 0xcb0adcc3, 0x17d72e01, 0x48eebc8a,
+    0x94109d73, 0x822cff0b, 0xa78d580d, 0xc19cfbdc, 0x5d220984, 0xf11e0c03, 0x206206fc, 0x796881ff,
+    0xe61524f2, 0x7708ba38, 0x772e703b, 0x1cc6017a, 0xfce35f48, 0x06e8330e, 0x5b1aceed, 0x94caffa0,
+    0x14ad219f, 0x59ae36bd, 0x63ca312a, 0x44dfe3b3, 0xbfef1382, 0x89770ee0, 0x27b1df8a, 0xbd1a9968,
+    0x5726d4c6, 0x77132794, 0xd4c8ff3f, 0x4b61ead0, 0xb6ff12b3, 0x0e5b380c, 0xfad39870, 0xbbd287a4,
+    0x129c9565, 0x8d3d3f15, 0xac3e97ba, 0xcef100d7, 0x7965bee1, 0x7450e304, 0x16194b1f, 0x4faad535,
+    0x3e4579da, 0x4b1b8764, 0xa821d048, 0x0bdfc981, 0xfa06ecc8, 0x48ab2ce7, 0xc9a8bee3, 0x08289ee9,
+    0xcaef5d4b, 0xa704b1f9, 0x7c048eb1, 0x9d43d55d, 0x766082d4, 0x78ec97f3, 0xa993a531, 0xae64f91b,
+    0xc48ab8d1, 0xc6c37831, 0xd54c192c, 0x9f69708c, 0x8763a4c0, 0xf9684faf, 0x84c88e6c, 0x1255054d,
+    0x92390350, 0xe82b8cbd, 0x92025549, 0x0640e8d9, 0x67ec44e7, 0x29913a26, 0xd39e977f, 0xe4203899,
+    0x00000000,
+    0xe747c496, 0xfbd3baa3, 0xb3a0cca1, 0x90105cf0, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb,
+    0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000011198723710889021052787211\
+                         40284222139060822748617324767449994550481895935590080472690438746635803557888 */
+  { 0x00000000,
+    0xa4c244a3, 0x7aac5e59, 0x98fc1c11, 0x0610793d, 0x69f658ab, 0x7ae37b70, 0x76f2e52c, 0x7f201000,
+    0xd6c00cb2, 0x17a83b65, 0x2a54ad00, 0xc7ed31c0, 0xa26a8c05, 0xe930403c, 0xb1d773a9, 0xa47629de,
+    0xceb55830, 0x21d821b9, 0x977c256e, 0xf60400ec, 0x3447c7da, 0x69aa1f35, 0x14a95535, 0x7c4b5f6e,
+    0x56579bf5, 0x5417198b, 0x5cc6189c, 0x793aaab1, 0x17a6e2cc, 0x220a3420, 0x251c6bdd, 0x5b8e0097,
+    0xc62e1b85, 0x410d826e, 0x9ce20e6a, 0x6293686b, 0xc2cd5b75, 0xcb764f0b, 0x8e3eba22, 0x16ee935e,
+    0x2789ea65, 0xc79e4d1b, 0x71504bf6, 0xa8df319f, 0x6df0dfff, 0xe3383842, 0x7d96d5bb, 0xb8d33eae,
+    0x3b752d19, 0xdba3e334, 0x644cc050, 0x8caffdf5, 0x44600985, 0xf3218b82, 0xb3492be9, 0x8c4fe09b,
+    0xed1c64f5, 0xc82e96cb, 0x1e68316d, 0xfad0801b, 0x9fb57767, 0x0184ed18, 0x2f6f636c, 0x0c78ba25,
+    0x9f5d1d89, 0xa17deddf, 0x258cea7a, 0x0727194c, 0x83dd59b7, 0xc1dc2d58, 0xeccea512, 0x963ea35e,
+    0x0e28a7de, 0x5783e98b, 0xf4ea2922, 0x4dd9d982, 0xf9ef5418, 0xfd08f4c1, 0x887b1e78, 0xcbe766cc,
+    0x1c06e345, 0xd99747ad, 0x82ab200d, 0xa53ced66, 0xa5bc71d1, 0x8a6a8bcd, 0xa8df94f8, 0x4e5dffe2,
+    0x8534f6f7, 0xcbbebc48, 0xb516d81c, 0x421a4f94, 0x8558d4d3, 0xf6041d7d, 0x730744e4, 0xad4e6b98,
+    0x11b13e6d, 0x9e81783f, 0xa983ed60, 0x447eb68a, 0x3dca151d, 0x437cbe2b, 0xa5e937c9, 0x749e1ca6,
+    0xe8c4d400, 0xa210057a, 0x400995c1, 0x85cda082, 0xa74480cb, 0x2da6a95d, 0x6d69b63c, 0xcf2c150e,
+    0x4e814a62, 0xea07d0a3, 0xe9e771c8, 0x086f06fd, 0x93474847, 0x284c9727, 0x7116ad6b, 0x9b1877ca,
+    0x78cbc2c7, 0xb1f44968, 0x8352f4ad, 0xc1ab9aef, 0x0d369801, 0x7021b861, 0x38e56854, 0xe4ec321c,
+    0x1b15cb46, 0x53db0c41, 0x030ad4c8, 0x743952db, 0x8b0bc4d0, 0x81991684, 0x9886feb7, 0x1bfdb347,
+    0x76317c96, 0xd7199024, 0xb622a768, 0xe9bbce1c, 0x58cf5313, 0x0b673d1e, 0x4ce3b6e8, 0xfc93eabd,
+    0xa13aefcc, 0x5cbaeae3, 0x3d36345f, 0x6ef98208, 0xf5bfa214, 0xf23626c1, 0x51c22808, 0x047fa5b1,
+    0x91ebcbd8, 0x0a8464bf, 0xf0431709, 0xfc19fb3d, 0x023033a7, 0xc9c75954, 0x03eb492d, 0x9ff12fc4,
+    0xcb343189, 0x042077d8, 0x54338023, 0xf35c5e2d, 0x2895451b, 0x2297634f, 0x13d1c283, 0x4906066f,
+    0x25ebf921, 0x9c4ee7ca, 0xfc8727cf, 0x810aa4fa, 0xd580abac, 0x1deaf2d7, 0x13d0e68e, 0x7bf76a36,
+    0xf1dfa269, 0xc96607ef, 0x15f63523, 0x03f57023, 0xc783df1d, 0x80460429, 0x686e80af, 0xd9e14110,
+    0x6812f311, 0xc4e7267a, 0x92651d01, 0x7c002118, 0x242a2341, 0x410b13ad, 0x73d8681e, 0x4e6318aa,
+    0xf09ae610, 0xfe46e9d2, 0x6079a297, 0x74244fd1, 0x426b91f7, 0xca9beee5, 0x25bc16cd, 0xdc5b30b7,
+    0x2d64942a, 0x3adde21d, 0xff48c7f7, 0x9a535c2b, 0xb021e050, 0x1b8af478, 0xa5589b52, 0xa0c82df3,
+    0x34015cec, 0xbe9a453e, 0xf3e5473e, 0x2646dd0b, 0xbc576d7e, 0x9261f0be, 0xd9ab58cb, 0xb4a14338,
+    0x74864b9c, 0x4fcd0492, 0x508e08c8, 0xe7604a86, 0x16d96461, 0x03580e50, 0xc34d6e7b, 0x7e08a4f0,
+    0x41a440fc, 0x2a541555, 0x0a898402, 0x930abbd4, 0x0e41ed17, 0xa5b7343d, 0xd85697ba, 0x0dd8bcb5,
+    0x0a5b26ec, 0xce82be82, 0xd5cd6877, 0x6a7aec03, 0x770f63ec, 0xb91b98cd, 0xc2c21f13, 0x48015c87,
+    0xf2cc55e3, 0xc793d8a0, 0xec9b9cf5, 0x77ce01e0, 0x09895144, 0xbe736f41, 0x1b295ce6, 0xa18d37c1,
+    0xb6dd75dd, 0x7be531fb, 0xf1a8ddb1, 0xb6e1f6fb, 0xdac76686, 0x3cb6f187, 0xbfcdf038, 0x3edd256f,
+    0x4ed2f2bc, 0xc13c6a9e, 0x98df1f57, 0x79511f77, 0xd53ae2eb, 0x0ca08a55, 0x9a235b99, 0xd41c9d4c,
+    0x7cc8c12a, 0x2a1ed31a, 0x7b243b04, 0x00f43588, 0x05626302, 0x48c1ff98, 0xb18be370, 0x71889ee7,
+    0x46948653, 0x0415e85d, 0x732fff57, 0x0cf720bb, 0xb7117c3c, 0x72e7c4e4, 0xb04c9eff, 0xaafb805b,
+    0xbbf4a532, 0x47f91796, 0x23912aab, 0x342b19d4, 0x02ebf7e5, 0xb1e4f78e, 0xdb52d6e4, 0x71d348a6,
+    0x757446f7, 0x9d850b64, 0x997f62a2, 0x311fcfee, 0xec3a9dfa, 0x86db3b5c, 0x3291fb61, 0x03ae1368,
+    0xf066494f, 0xaf86ac46, 0xa23559f9, 0x7df8251f, 0x970648dc, 0x6aebb883, 0x194b3534, 0x7c762463,
+    0xf3bfaeb0, 0xba5772a2, 0x3806c194, 0xf26e6687, 0x3a13d980, 0xcbeceb61, 0xd2c29a7d, 0xaac9ad54,
+    0x0c6291fd, 0xc31018ec, 0x09e4da73, 0xe9f7236d, 0x906ada29, 0x279558d4, 0x7f67f1da, 0xa8c6a2e5,
+    0x75fc4f9e, 0x47b40ddc, 0xe7be7728, 0xd5410550, 0x5f9ac9d5, 0xee606015, 0xeaae7a6a, 0xb69bb179,
+    0x055e9753, 0x231e4a2a, 0xb9ca0784, 0x83b78434, 0xb751eb6a, 0xf6d34830, 0xd59c97e9, 0x46d3a0bb,
+    0xaee2eda7, 0xa8cc8067, 0x935cf718, 0x8a323063, 0x1b9d2189, 0xa63d98d4, 0xc3ae65ab, 0x4f027d73,
+    0xd0d0c81d, 0x9483dc21, 0x80741220, 0x9461d815, 0x3edf21e4, 0x2b5f5581, 0x0efb937f, 0xa9eb9cbe,
+    0x2c47144f, 0x1871b192, 0x7eddc0c6, 0x7bb56148, 0xf9df437d, 0x3cd99e75, 0x02eae6ca, 0x73b6f2b4,
+    0xf74f48c6, 0xb304ed30, 0x6cb33801, 0xa8184b8a, 0xf9ce7386, 0x57337ef0, 0x11cf14aa, 0x53c7e57b,
+    0xcaa95e1f, 0xcb190d43, 0x01a1f948, 0x6be50949, 0x1e29b126, 0xfef1e38d, 0xe19a5bea, 0x30e57835,
+    0x97e82ad9, 0x88aef78a, 0xc0c56ebd, 0xb43da677, 0xb2af5c87, 0xcc514ad6, 0x2736ca59, 0x62325ee0,
+    0x02d0dcf8, 0xafc31676, 0xe53af684, 0x56dbc916, 0x853fbeaf, 0xc6381c88, 0x8cb8bdb6, 0xcf2cb5ed,
+    0x6930db70, 0xda908771, 0x37d127b7, 0xe31bd7e0, 0x42e51361, 0x4796f8da, 0xf4055795, 0xce2bbe3e,
+    0x293c2ced, 0xea9975cc, 0x00855247, 0x23c39240, 0xf03317cc, 0x09b1a2f6, 0xb310e1f7, 0x62399591,
+    0x666bb28f, 0xb3e825d4, 0xa65ff54f, 0x7b002f2f, 0xc1c467f0, 0xeaa76c53, 0x63a3a5cb, 0xc8b56246,
+    0xba78fc88, 0xb161513e, 0x333169c1, 0xa893ca9b, 0x53ae7155, 0xce9f3375, 0x5359039f, 0x36f6fc64,
+    0x69ead2b4, 0xa8f16899, 0xec5950e9, 0x70703131, 0x1ed112a5, 0x3062327f, 0x672f5d97, 0x670a69b6,
+    0xb4b79377, 0xfd0489b4, 0xd5d7d1c0, 0x79a30bc1, 0x93dcdc9f, 0x5f3dadde, 0xda3a4a2e, 0xa9a87a2b,
+    0x1cce039b, 0x4d67019b, 0x73bfa32d, 0x2f3b023b, 0x4c138f2a, 0xfa3a3394, 0xcc6e4833, 0x267b241a,
+    0xdd8e933a, 0x44fab27f, 0x13a656e9, 0xf310e1ce, 0x1aaf6550, 0x5be98a65, 0x4d858a08, 0x0a26fa84,
+    0x327c4500, 0xfc79ced6, 0x8a186e0a, 0x1db59d4a, 0x87a76493, 0x4aeb62ae, 0x572cbfbf, 0x4bea61cd,
+    0xda9f8ff8, 0x013402d3, 0xe2346436, 0x3c344a9f, 0x3d199e9d, 0xae820e33, 0xa127df1a, 0x727d7926,
+    0x69425468, 0x440a0fd4, 0xe9f1b4de, 0x36468d6f, 0x55c86d47, 0x2acc8631, 0xe709f7ba, 0x897cbfd1,
+    0x4d0c9e7f, 0xac65d4ab, 0xfb1c3ec4, 0x9f6361fe, 0xf0c83fa0, 0xb12cdc3d, 0xf077bb43, 0xd6e08230,
+    0xc5a4542e, 0xc1a18618, 0x427ca8eb, 0x46288cda, 0x82af86fa, 0x68608232, 0xdc55b8ca, 0xb2aeb41c,
+    0x02d3ce00, 0x914c3ca6, 0x206e612b, 0x8c285427, 0xe958871b, 0x3767807b, 0x8605571c, 0x1068f5a2,
+    0xa77a28df, 0xf701ca08, 0x9a9f7a77, 0x42798551, 0x4f48489a, 0x9d743757, 0x599d8991, 0x98f7f79c,
+    0xcfe67207, 0x817f9745, 0xebb3ea33, 0x5f2fec9b, 0x8e9b54d5, 0x8c9a9492, 0x1e54e8d5, 0xb11a8b56,
+    0x716f8023, 0xe49d6f27, 0xbd0cedab, 0xee03caf7, 0xf48a36d0, 0x7f01ff5e, 0x95724437, 0xeff3b229,
+    0x47309a8f, 0x06b1baad, 0xe9e7f260, 0x9d5dd061, 0x3253cf8f, 0x35c82584, 0x7b1b70e3, 0xa524cff2,
+    0x6f368866, 0x15b02776, 0x370d7ecb, 0x1cfa4552, 0xa2dcd280, 0xc639b071, 0x8de3e3ca, 0x75e15572,
+    0xc7b8fd98, 0x430cd7a9, 0x84909ad8, 0x8100a722, 0x5f2853e7, 0x9bffa865, 0xf595df13, 0xe0e0b383,
+    0xbd8d2505, 0xcfa377df, 0x3b8d6ef9, 0x8f1dd5f2, 0x3ef165b3, 0xf19c9803, 0xc1367440, 0xe44ca83d,
+    0xd576f524, 0x370d9ca8, 0x3e4567ce, 0x39d976b2, 0x2ffc80f8, 0xf6161577, 0xb6546f92, 0x00150e67,
+    0x78349e51, 0xb67d7900, 0x701fba64, 0x97136e43, 0x1abd110d, 0x96945b54, 0xbc1cf3ce, 0x69a657a3,
+    0xba0edb5a, 0x33dc9777, 0xe532b0d9, 0xe7b1b779, 0x757c1f93, 0x2e50125e, 0x259118bc, 0x50aa5324,
+    0xbec7e193, 0xcd97af2a, 0xcdb71d14, 0x2496e7fe, 0xbc3c7758, 0x61efc168, 0x05750bc2, 0xbf8f5bf5,
+    0xb7ac431a, 0x0a9bb26a, 0x5f6f735a, 0x630564a7, 0x50cfb52d, 0x54832cd2, 0xeb9c345f, 0x7dfbf7f1,
+    0x90159959, 0xd4ec1bb8, 0x070e72dc, 0x5ab4d37c, 0xafe6be5d, 0x62c32c8b, 0xe7b1ec20, 0x38515048,
+    0x615d3f5c, 0x7814868c, 0xb13b7fb0, 0xa2837990, 0x2cb26d60, 0xd9040476, 0xdc2849fe, 0x740277c5,
+    0x9ac3a54a, 0x713eee33, 0xd45d1efa, 0xbd328804, 0x4ea41036, 0xc6bcf0f9, 0xbe3a6478, 0x246d8e6c,
+    0x5daae1e8, 0x16341a44, 0x9e332f83, 0xf87bf6a7, 0x63c3ca0f, 0x7269b9ad, 0xaab382a0, 0x840675d4,
+    0xa95296a1, 0x675e4700, 0xd5315432, 0x376e3c83, 0x0a46a007, 0x0750c9c3, 0x1ef3889d, 0x08f04182,
+    0xc2ab2107, 0x84d0f8f5, 0x1274fb88, 0x833cb2f7, 0xc03480e2, 0x8a67401c, 0x0cf9a367, 0x6a8ddba3,
+    0x5029e735, 0x0926b92f, 0xc7777f64, 0xb2e3b14d, 0x3230986b, 0xd2879d4e, 0xabded1e8, 0x3ec5e474,
+    0xb0ee0856, 0x8a67df9b, 0xd5ffa024, 0x28c35810, 0x2e52f21c, 0x2f04acea, 0x2645cdc2, 0x10599316,
+    0x3ae533c1, 0x6c5967be, 0x80ae40f5, 0xfd3f32db, 0xf78aa302, 0xf575afe5, 0x5c6a06fd, 0x14450a5d,
+    0xc7135ada, 0x5c437596, 0xed74fc51, 0x77d604ed, 0xdb4a5423, 0x46c7e4fe, 0x5db285be, 0x70703b64,
+    0x4030022c, 0xd9439829, 0xc49d2e08, 0xcdaced83, 0x99924d1b, 0xb5c10a6b, 0xf1a9b248, 0x655b0049,
+    0x768253c3, 0x1627d61a, 0x4c8a80d3, 0x2c2ba126, 0xf97a7106, 0xda610c02, 0x0c9f0962, 0x41ec6bca,
+    0xc46851f4, 0xa1a4f69c, 0xcf94145d, 0x44781eb4, 0x6fe00a1f, 0x20265260, 0x1d74d1d9, 0xfa7b3d0b,
+    0x9188cec7, 0x06c4af67, 0x1b1c472b, 0x78464e7c, 0x1c18d80d, 0x3fc91b18, 0x7bc78d02, 0xd502a26d,
+    0x1efa37d1, 0xcc977db0, 0x1501c2c4, 0xe34f4747, 0x2ae429e2, 0xc871dbc5, 0xb8d7e86c, 0x220a616d,
+    0x68234952, 0x5f6c7092, 0xb5708b56, 0x581ed746, 0x47652010, 0x18e68081, 0x99d548a5, 0xe20813f0,
+    0x8821fbba, 0x52671a87, 0x03575484, 0x8dadddf3, 0x6068ddb8, 0x8e0df9ad, 0x75ddbc2e, 0x516b1cfe,
+    0xae1e5593, 0x29dfbbbf, 0xd2edcd68, 0xa85a1841, 0xf0ff28ab, 0x6bbcb94f, 0xfd336a1d, 0x19fcb614,
+    0x157362c7, 0x778753f0, 0xdef3180a, 0xb32122bf, 0xaf3de646, 0xf9aacd08, 0x7856f786, 0xfff80da8,
+    0x895a5a03, 0x5e9eb4ac, 0xcc7d9beb, 0xf82e0ad3, 0xcbe1500a, 0xfc0fcee0, 0x712ef54f, 0xae6c07f3,
+    0xebef4921, 0xd6347aa9, 0x0bb4eaef, 0xbd07383c, 0xbe3b02d3, 0x5f69e8c5, 0x9ded2db8, 0xc053b5df,
+    0xc5f8ca65, 0xa3de54ea, 0x570000bd, 0x5e561e5e, 0x680fe393, 0x6edc21e9, 0x75bbed0d, 0xa0750f2f,
+    0x66ef4965, 0x136691f9, 0x2662aec4, 0x1d029395, 0x9aa80439, 0xa3d74b65, 0x58b42b23, 0xb87ed5d7,
+    0xd68b5161, 0x75810041, 0x2d750e14, 0x858053a4, 0x97048e89, 0xa94e8dbb, 0xbbfec91c, 0x0f722dd8,
+    0x37e65c02, 0xd670857d, 0x0f90d1f7, 0xf1f5c7d2, 0x5d94b1ca, 0x09a2fa39, 0xa1ecb9ce, 0xb933c8ee,
+    0xed5bef70, 0x4a995149, 0x05939490, 0x9044ad92, 0xc148fef9, 0x6d269cd2, 0xc96868c2, 0xd1956620,
+    0xc04432f0, 0x6667cefc, 0xd1467034, 0xbbed9814, 0x47d5d638, 0x4d8c0dbf, 0x54af5b17, 0xb1f54042,
+    0x7577f5e7, 0x8dff9bef, 0x9ca79f15, 0xf620b330, 0xea7f58f0, 0x24ba2d6d, 0xb671f62a, 0x5c5db837,
+    0x0cabd121, 0x366908e7, 0xb0448d92, 0xa5e77814, 0xd7ff817f, 0x7abe6186, 0x53286036, 0x66eea916,
+    0x5396e223, 0x58b6dc4c, 0xc60943a3, 0x938b050b, 0x5be07980, 0x49fdcfca, 0x56bd337a, 0x6bbbae61,
+    0xb474b0ea, 0x639894fe, 0xc5304036, 0xc6b774ad, 0xc1c5f827, 0x508fabc7, 0x45fea240, 0xd4b83c0d,
+    0x92c447b6, 0xeba89691, 0xcdf04550, 0xe01861f2, 0x2db714ca, 0x038497e8, 0x41c5afbd, 0x95003d72,
+    0x8a5ade88, 0x4bed2149, 0x208fa118, 0x983b8f51, 0x212eb214, 0xf016f72e, 0x49fc572d, 0x4ae583d5,
+    0x32faf8e6, 0xe198709f, 0x4cd4fad2, 0x4d3d7c52, 0x51dbb960, 0x82ceadc3, 0x043ae1b5, 0xafda3ea0,
+    0x7733d291, 0x8cc417d0, 0x0372d04d, 0x28932a93, 0x0558c3ea, 0x77354538, 0x74ffe8d9, 0x867aeef8,
+    0xcd693d80, 0x6ad8dc71, 0xe5e0998b, 0xecba22fe, 0x657f7e69, 0x7338b5f5, 0x1a94faf7, 0x5b265ee8,
+    0xb81ef2fa, 0x00cffc58, 0xaf8cbcb9, 0x0fa6ec9b, 0xe4a29f4e, 0xa2821778, 0x32004102, 0x90544224,
+    0xd6b1c598, 0x6c555f8a, 0x9f34d9c5, 0xf89cb6a6, 0xd677b7c7, 0x2587d6a5, 0xeeae3d87, 0xcc4478b3,
+    0x07dfea45, 0xca439df6, 0xa897e1bb, 0x58fe93b9, 0xcdb94f26, 0x8b56bfee, 0x838ead40, 0x877efc6a,
+    0xdfa081a4, 0x65ca9322, 0x57d0d7d1, 0x95c67756, 0xcdca9e0b, 0x4449af53, 0xadf76b87, 0xb70eb3da,
+    0x9bd52bae, 0x8197dbdd, 0xaea274ae, 0x518d5354, 0xe4b7f012, 0x1e0a771e, 0xb77ad0bc, 0x14759d3b,
+    0xf2886368, 0x7321c292, 0xf8111a4e, 0xc7e8b087, 0x9bfa1a75, 0xe3041449, 0xa0a276bf, 0x41a7f4a0,
+    0xc998c92d, 0x218cfcb3, 0xd35194d2, 0x02a5d030, 0x82daabf9, 0x296e604a, 0x807431ee, 0xf8409755,
+    0xc872b536, 0x7da3f45d, 0xb818b4a7, 0x1f34670d, 0x4e2498e6, 0xed40bb5d, 0x10317f8a, 0x27f95b02,
+    0x4149e70d, 0xd212b452, 0x9b388639, 0x034dd393, 0xec9dba2c, 0x25ab63c9, 0xb1f571a9, 0x75ed267a,
+    0xa7d8f03e, 0xcee08945, 0x46dbdd99, 0x504350f6, 0x9cbb05eb, 0x02c272d9, 0xad0a83d8, 0x1260afbf,
+    0x6c0316e7, 0x060e5dbd, 0x2ebc5a8d, 0xf1889647, 0x059ab4a7, 0x4fbd560a, 0xa2702451, 0x904f403d,
+    0x55fd29fc, 0xf528b0dc, 0xd77bfa59, 0x2d8f958a, 0x145088dd, 0x9e4a8fd5, 0x66a17ba2, 0x4da8d719,
+    0xba2d35db, 0xd9d68449, 0x6ec14bf6, 0x4d3ff2d7, 0x9c7bea5b, 0x79cc178e, 0xfa0d334d, 0x6926e39d,
+    0xc8e9ea80, 0x82c20432, 0x6e7d5fdb, 0xfd3cd75d, 0x3add1225, 0x2d301ec7, 0xa94b52b1, 0x46700242,
+    0xdf976eb4, 0xe58856d7, 0x98253552, 0xae29856d, 0xf518a74b, 0xa0c80369, 0x868138bb, 0xf1a94fff,
+    0x00000000,
+    0xf3a3e24a, 0xfde9dd51, 0x59d06650, 0xc8082e78, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd,
+    0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000005599361855444510526393605\
+                         70142111069530411374308662383724997275240947967795040236345219373317901778944 */
+  { 0x00000000,
+    0x0076c526, 0x6df633c1, 0xcf72ddea, 0x3cc44ddf, 0x13b4b13b, 0x7e311b45, 0x81bbcdbb, 0xefe25b45,
+    0x0c22c055, 0xf2cf37ac, 0x08daf746, 0xf14018a3, 0x1c2e40e7, 0xec2c3a6f, 0xaec26034, 0x85a40854,
+    0x05c5cf3a, 0x32d38216, 0x082187f7, 0xb6955def, 0xb9cc9758, 0xbf11b3f2, 0x5d089c2b, 0x48cdd4e0,
+    0x7f0d207f, 0x23705ff3, 0xa0419ddd, 0x03b3a727, 0x5a2604e4, 0xb4e48e05, 0x4fa233b4, 0x95c678f8,
+    0xb7b466f9, 0x3b4b9fae, 0x1621cf7a, 0xd2059e40, 0x5b6ce498, 0x0af0639d, 0xa201b8c0, 0x6393d2e4,
+    0x61fba547, 0x952e81af, 0xc2f0d3da, 0x23541cf9, 0xf796fda4, 0x90e72a98, 0xb90a2037, 0xeacf8f71,
+    0x63c61330, 0x26160a25, 0x6a262b31, 0xb186e5c9, 0xac21a7d0, 0xca54d58a, 0xc4ae2896, 0xa37cd317,
+    0xb8865b0c, 0x4d54e7c0, 0xa900265b, 0x19ffbbb4, 0x2f9dc094, 0xd10f3847, 0xdb80699f, 0x8e5ee864,
+    0xbe36b0b4, 0x7ee22c5c, 0xf2181c73, 0x18f3f560, 0x8f783126, 0xfea5a0ac, 0x0b041207, 0xb14c88cd,
+    0x709d7bf4, 0x7a61afa7, 0xb397f672, 0xa68d427a, 0x22a76d87, 0x330a0450, 0x3e95689d, 0x83ffa38a,
+    0x822b03e1, 0x97a674da, 0xa54d922c, 0x2d1040f6, 0x67ffdcd6, 0x8f8a2aba, 0x2e00f0ad, 0xd01bf9d9,
+    0x77f4b8ef, 0xe4a964d5, 0xc570417d, 0x660cb7de, 0xa0340639, 0xeda16abc, 0x34afb738, 0x354c27cc,
+    0xe7635480, 0x8eb826e9, 0xeacd2e42, 0xf6f55b77, 0x10f433dd, 0x062d92b2, 0x57040b14, 0x5e300730,
+    0x4382cdcb, 0x0876271a, 0xe875ad6d, 0xaaa7d296, 0x1cbd979f, 0x2e32b4a2, 0xedb28032, 0x7e274eb6,
+    0xa8bbc6e4, 0x972eac3c, 0xd5b57eac, 0xce53a316, 0xaa2b35ce, 0x1a7234ad, 0xa006fb04, 0x28cb9318,
+    0xa858bd3b, 0xa71981d0, 0xc6c3e5b2, 0x9422f8f8, 0xd4446add, 0xfe819bc6, 0x5697d7e5, 0x637e0216,
+    0x0aaf71bd, 0xe1d9b056, 0x2466e7e1, 0xe71c34cd, 0x6f45ed8a, 0x3081ab54, 0xa14929b4, 0x046caf3a,
+    0x679cbe69, 0xd538b2bf, 0x057cdbec, 0xcd9f0011, 0xe34958ec, 0x8c23d68c, 0xead4ab18, 0x5d6e7281,
+    0x39a2a2ce, 0x928e5a7c, 0xf7bcc94b, 0xd4cfe6bb, 0x4675574d, 0x0b9da157, 0xa0645715, 0x1934db9c,
+    0xfecec99f, 0xbfd47785, 0xacdb7d2c, 0xc27056ae, 0x1d188fe2, 0xa7814f0c, 0x40d26bea, 0xedec810a,
+    0x730bc47c, 0x038621fe, 0xd2af4b24, 0xbbc41fbc, 0x0bd48dde, 0x605e96d1, 0x888a79eb, 0x7b4ce286,
+    0x33c678cb, 0x34878ec5, 0x51046401, 0x846aefcf, 0x04120e94, 0xcfed3566, 0xb15799c2, 0x17d8967b,
+    0x66955f7b, 0xff506141, 0x6fdd3c27, 0x7cc1f7da, 0x78611b55, 0x5b42adf8, 0x6d018c15, 0xadff13c0,
+    0x3477d202, 0xf81426c3, 0x06b1753a, 0xcf684c1e, 0xdb47e2ca, 0x77ab213f, 0xa4572f71, 0x3b620cd6,
+    0xebdef2ae, 0xf80bec58, 0xef086f8c, 0x490f3ebd, 0xa4582505, 0xd4bc3cc8, 0xdb0d6772, 0x057e34b6,
+    0x920d6b7f, 0x6e743bf6, 0x0f3971f1, 0xb00582a6, 0xf85587b7, 0x3da7dd93, 0x065410cf, 0xcd0a3522,
+    0x68cde016, 0x65c7892f, 0x9e8f821a, 0x68caaa87, 0x898e0a33, 0x483bc26b, 0x8edd6401, 0xf6c54bb6,
+    0xdc229a8b, 0x83420d15, 0xaa41de82, 0x15e7db7e, 0x5f21c2f6, 0x91752eb9, 0x4a507d4f, 0xba0eec27,
+    0xcea4a31c, 0x2db53dad, 0x7170f2a2, 0x445f959d, 0xae17f4f7, 0x093a933a, 0xad4093de, 0x90869b5e,
+    0x5ba23201, 0x119f8d5a, 0x66cd8ac5, 0xbbfe652e, 0xfd0797f3, 0xeba07f50, 0x0b75c8e0, 0x74711e99,
+    0x312e3261, 0xfcea393f, 0x9f9ac00e, 0x8480aa65, 0xceff3dcb, 0x28e50937, 0x761cca6b, 0xef426689,
+    0x75614485, 0x1716783a, 0xbf701d8f, 0xca3a8e52, 0x48bc1083, 0xa40178ea, 0x97c163bc, 0x1855e69a,
+    0x3c005381, 0xe5a748e6, 0xd663f306, 0x1ee8161b, 0x2bc16d2e, 0x7b608d20, 0x62888ffd, 0xa7026108,
+    0xe73ce1a2, 0x60435836, 0xde5677cf, 0x0c54e255, 0x884f77cc, 0x6527571e, 0x87cb5b1d, 0xc4029795,
+    0xe8e41d03, 0x54adfb38, 0x8893fbeb, 0x9d3690f7, 0xe1d38382, 0x804367d4, 0xca3dda75, 0x6f85fffa,
+    0xbe900d02, 0x288ce38a, 0x64e7a4ca, 0x5f8be34b, 0xca8a29b6, 0x4d8b2d69, 0xe2bbf75f, 0xb551d671,
+    0xe6452d8f, 0x67129cbf, 0xd23a7986, 0xd238e51c, 0x05b6ce38, 0x26605626, 0xea8838f0, 0x8bc0c2bc,
+    0x521fa68f, 0x32688074, 0xc603af05, 0x770f8813, 0xc72592ae, 0x6a005bd5, 0xa07c7867, 0x8ea44d92,
+    0xd9b0e737, 0x461349ca, 0xe8215a65, 0xdcb8459a, 0x2d6ff91b, 0xe4cbac71, 0xfc20691b, 0x74630b9b,
+    0x594bd229, 0x44d80d4b, 0x872ac3f8, 0xbd6320d2, 0xdda4f1c5, 0x54592e98, 0x15f91823, 0xa8029ba9,
+    0x084ebd3e, 0xbb56a25b, 0xa4b27dae, 0x5f5e649e, 0xb59dd77f, 0x6be91540, 0xe42ae858, 0xdcbd584f,
+    0x1a5e31e5, 0xf5ec7af3, 0x08649e2f, 0x5d911c40, 0xa80cdda6, 0xa2fd6e1a, 0x674603cc, 0x1042a3a4,
+    0x8d9af7f7, 0xd511a6f0, 0x870c1eff, 0x51e873ac, 0x26e138db, 0x647381a6, 0x0beb37b0, 0x0e430897,
+    0x37f027ad, 0x52cf66fe, 0x5909ed1a, 0x1ce90d0c, 0xe8b7453d, 0x36e1e590, 0x760bbfe2, 0xaaaf8332,
+    0x399b945c, 0x83b31bad, 0x2a4db00f, 0x52d9967e, 0x2b42f13b, 0x09e6823e, 0xf10127f2, 0xe3461a02,
+    0x5ac01306, 0x492c7a05, 0x88c2a6e3, 0xeb31ee95, 0x13e27694, 0x038fdb61, 0x8445e939, 0x975c2f35,
+    0x93a09055, 0x2df98151, 0x88992904, 0x3fcffa2f, 0x5409b924, 0x31ec37cc, 0x5fbe11b9, 0xf34fd501,
+    0xbe7c97db, 0xd672c703, 0x2293db80, 0xcd022ff9, 0xd79b13a7, 0x37cb48a9, 0x495f84fc, 0x70bb6a8b,
+    0xac40343f, 0x99f70a90, 0x38ee9c79, 0xde1d94e6, 0xbaca7c1f, 0x69837778, 0x1f4888ee, 0x23d5b612,
+    0x47e88909, 0x5fadfeac, 0x90d82784, 0xdb43a5b9, 0x5cad8225, 0xca7c734f, 0xf5bd9508, 0xf561f5fb,
+    0xe125db66, 0x0213952d, 0x6015bfda, 0xb6401ee4, 0x0270c755, 0x45f15ab1, 0xeff1a14e, 0xe1d87291,
+    0xebad77ad, 0xf9c8d360, 0xc962d40c, 0x83167464, 0x2a31e5b9, 0x6e0bce07, 0xe8efef34, 0x111f0c0d,
+    0x6b79bc8d, 0x1025d211, 0x483d7e1e, 0xa63e5b63, 0x4d154db3, 0x654352b1, 0x907df03e, 0xddfa28f2,
+    0xe250daaf, 0xc8e0cccc, 0x79e290e3, 0x12415f23, 0x0d841a2d, 0x6f3c156c, 0x1de81399, 0xd4c869a4,
+    0x9f835968, 0xb3cd9d9e, 0xa5e30e46, 0x1b227059, 0x2e70ceac, 0xe4677861, 0x62ee242b, 0xa727d5fa,
+    0x5ed3ea75, 0x3dbd47c8, 0xb1415839, 0xd25960bc, 0x18cedd29, 0x3fe2f004, 0x78d622a7, 0x4186e7e1,
+    0x6fbfbe8f, 0x65bf35a8, 0xaa230132, 0x495fa949, 0xbf61f9d4, 0x097b1485, 0xefdf61f9, 0x7fe10fc5,
+    0x98ea7689, 0x61404b48, 0x95a4e5a3, 0xf1e35766, 0x955ee521, 0x17b82df2, 0x74b41b72, 0x889d23cc,
+    0xbe14b948, 0x7f0c300d, 0xcd8a5409, 0x60752815, 0xaba8577e, 0x18b9fd88, 0xc9b4e454, 0x5a053d01,
+    0xb2b9c520, 0x809f71cc, 0x277ecc3d, 0x5ca43549, 0xab90eb60, 0x818878ac, 0x1be2399e, 0x228e3a26,
+    0xd8c2a04d, 0x196158fe, 0x38fc1eaa, 0x70cec99a, 0x2d2d8371, 0x2a8d2e18, 0x5fba9c79, 0x2781884b,
+    0xbdb6afdf, 0x24fc9b33, 0x6fd443f1, 0x6d1fd8ca, 0x130bd9c0, 0xdeb9d988, 0xbe2336e3, 0x42d8f7cd,
+    0x698903fb, 0x6d95ff3f, 0x2b8394f0, 0x7dc4202a, 0xd4367519, 0xaaf04bd3, 0x40ca5d12, 0x358d7841,
+    0xebc4940b, 0xff0615ca, 0x4ac3b7af, 0x0e9f196b, 0xd10e3b04, 0x0fe27827, 0x09f47a47, 0x34909f50,
+    0x5acc86cb, 0xc9c31848, 0xc1e079cf, 0xe984dba7, 0x22ba0a96, 0xf6390bff, 0x17fda273, 0x7b960c55,
+    0x593d81ea, 0xa291a978, 0xa1f3b3f8, 0xa9342cd1, 0x973ca1b1, 0x1e57e7b3, 0x1aeeff18, 0x0b53aeb5,
+    0x689ca3e7, 0xb90fb41a, 0x31e5ac95, 0xc476ab7e, 0xa07b6a83, 0x38587edb, 0x443e5952, 0xa14f23c5,
+    0xc1496a96, 0xd9849280, 0x50165001, 0xeb819a20, 0x2ef4f318, 0x699714ee, 0x721caeff, 0xff90bebc,
+    0x4eba0ce7, 0xe267cc79, 0x05f4d288, 0x84d7ac7b, 0x5fab15a1, 0x53997408, 0x7a371e91, 0x3349eab5,
+    0xe3b640a9, 0xc69442a6, 0x1e309237, 0x0633c711, 0x772bd69b, 0x1222a64f, 0x69c34333, 0xa5e491f4,
+    0x4d007b71, 0xd7f81d3b, 0x5fb92c71, 0xd1fbd713, 0x65d881d0, 0x827b1ddb, 0x0475230b, 0x02105784,
+    0x66f889ea, 0x7c072c3e, 0x39b97928, 0x4216b6ac, 0x99632adc, 0x2f38ede4, 0x392fe661, 0x95d15848,
+    0x1189ffd4, 0x32845440, 0x48a21e15, 0x9596be41, 0xaa960b39, 0x62937ffc, 0x6bfe0722, 0x5d98c852,
+    0x0a2495c8, 0x2dc20199, 0xd86c4fcb, 0x092ac7a9, 0x63ca21dc, 0xcb39b42d, 0xb5410360, 0x1fca29fd,
+    0xb4887701, 0xb90c5432, 0xf2f1e660, 0xdb94937e, 0x3fa1f684, 0xb36af2cf, 0x7e1a7417, 0x1858c93f,
+    0x3ce481a3, 0x822b4f19, 0x4a37aefe, 0x4b82a7cf, 0x3ce27159, 0x3b304d36, 0xb8c4bb5d, 0x14d6d974,
+    0xf1c9bb88, 0xf29d95f0, 0x7573f135, 0xd1deddf4, 0xa07fe5d7, 0xf565f421, 0x3e0f5758, 0xe072e6d7,
+    0xf686eece, 0x846cabb8, 0xa3e095c7, 0xaed59d5e, 0x0f80fa2b, 0x5ebcd6bc, 0x451a6c2a, 0x07e414fe,
+    0x374e048e, 0x4e951e80, 0xb9d74c56, 0x664b24c6, 0x230bd822, 0xd751ba78, 0x453d61da, 0x1f30f909,
+    0xff0540fc, 0x43e17cd4, 0x9dc6ebda, 0x6ac141bf, 0x2a78ce88, 0xd3916478, 0x5de62be8, 0xf275811c,
+    0xcab06153, 0x31e5beaa, 0x1873a46c, 0x3a8be354, 0x31a9d11b, 0x6c2106ec, 0xd8030c6e, 0x62dabce9,
+    0x16b17ea9, 0x5b2a1cb5, 0x90fd637e, 0xce93de74, 0xe4c54978, 0x51e72582, 0xa6e0bd04, 0xbc04a9b1,
+    0xe74709a0, 0xfa07b235, 0xf377da80, 0xea497cec, 0xbe292c71, 0x9b6fb62a, 0x0222a088, 0x3d2b7ccc,
+    0x9af5f350, 0xd6789449, 0x2308d5ef, 0x4f63f902, 0xf5e82e62, 0x0588f58a, 0x43677431, 0x48075db8,
+    0x28a47ed8, 0xb0f561f3, 0x79687026, 0xf5f718c0, 0x022791e6, 0xe033cb09, 0xb08744e8, 0x35ec601c,
+    0x245eb7aa, 0xe8e51037, 0xbde15d20, 0x29d7aa5a, 0x48537959, 0xa510abb0, 0x63419098, 0x9cc2b078,
+    0x2201dc7c, 0xf21f2b4f, 0x8512da24, 0xc9ffa68b, 0x2cb9f5e4, 0x7c2ce9af, 0x72dee264, 0x4319739f,
+    0xbf2a9396, 0x95d08c04, 0x79307080, 0xe050bbb3, 0x1660c1df, 0xd14c9b7f, 0x11e8d268, 0x97a14bbe,
+    0xf097bb27, 0xb44ef2d2, 0x65f168e7, 0x9ecc4450, 0x626b2383, 0x081abe67, 0x1fd6e736, 0x82aac23c,
+    0xf114a0c2, 0x3cd393f2, 0xd4c8dfda, 0x904055fc, 0xc3a4f768, 0xc3ab4d33, 0x8c6fe675, 0xdab08290,
+    0x25f31fb8, 0xd0f54a5c, 0x39f2c988, 0xa7b42673, 0x976f593c, 0xc3ea3d58, 0xcad770da, 0x8f4dd13f,
+    0x418f828f, 0xc9ae6dec, 0x838a5925, 0xc84904be, 0x492d6ef6, 0xed7a90ff, 0x589c0941, 0x0f115846,
+    0xe2ae7cde, 0xa5bbc6dd, 0x264b141b, 0x041c83c8, 0x3c8a88f4, 0xbad24427, 0x76b701ca, 0x46920334,
+    0x91234ad5, 0x2e48a07e, 0x2fe5ca2c, 0x5b8d5416, 0x72ac7a83, 0x82e43e0a, 0x4ebbcefa, 0xf400bda5,
+    0xc0517d9c, 0xdcb55650, 0x23966f96, 0x6e40ce4f, 0x386952f7, 0x336988c5, 0x2bcea42b, 0xd60dd863,
+    0x3e387040, 0xf83b9291, 0xa8e12365, 0xc355d209, 0xdfa02666, 0x05c766c8, 0x073af2e3, 0xc060dec5,
+    0x5bb0c41f, 0x6acb90a7, 0xa132c815, 0x1fee32b1, 0xeb1928ef, 0x5d63e3fc, 0x8d7648dd, 0x26444709,
+    0xcdc84713, 0xf1907dc4, 0xe5da9b7b, 0x275e1a72, 0x4c4f4346, 0x0ffadc49, 0xc409aa50, 0x212f6db6,
+    0x326256e0, 0xdf6ae316, 0x2dc6111e, 0xacaeb3a3, 0x3467f9a3, 0x8ce92c86, 0xc7d69238, 0x9efd794c,
+    0xa62c7397, 0xff9fbd01, 0xc40f8661, 0xcb3bf772, 0xfcf9b5c1, 0xbc186999, 0x40156728, 0xb4bec5c9,
+    0xd65a66bb, 0x003b6f19, 0x5139edd8, 0x26e8d711, 0x4e68ebb6, 0x22bc7bd2, 0xcaf9defc, 0x7c65f343,
+    0x4dda79cb, 0xf5a70e0f, 0xf36671a2, 0x78451155, 0x83bbf629, 0x04c7c822, 0xd4740d5f, 0xac6a8722,
+    0xad4c9ec5, 0xfbc0e1b3, 0x712298b1, 0x4bc307f9, 0xabc2ed40, 0x0fc83745, 0x9e291c45, 0x357acb5b,
+    0xaca33f03, 0x6947a926, 0x6d0d2032, 0x9043f853, 0xac31b1ab, 0x29c085a5, 0x75b9e413, 0xcc516c74,
+    0x7365e56f, 0x24efd7df, 0xb3ae2173, 0x1db2a81b, 0xd8655a8e, 0xc2ac8bfa, 0xd0d7b9ff, 0xf9a33fbe,
+    0xe062cea5, 0xdd45ed8e, 0xaf9a8f82, 0x7f9fae89, 0x4a2dc943, 0x57db2205, 0xd6b36c53, 0xe84f6d50,
+    0x8bf1f89d, 0xad61547c, 0x1bcd54c2, 0xcc40a9f4, 0x25b196a9, 0xac57a5db, 0x1c5462d3, 0xd5381dbd,
+    0x6c16fc51, 0xac29fe9b, 0x3c0db44e, 0xec85e9f1, 0x4d21b2be, 0x35325e9c, 0xa204a49b, 0xf7b57625,
+    0xd387ecf6, 0xfe2468ea, 0x026d04c5, 0x8604b6d4, 0x74c6ce1f, 0x252dd768, 0x40f4d5c1, 0x9be91146,
+    0x95254539, 0x5102cb71, 0xa0f3d052, 0xd1e0e205, 0x61ad540d, 0x2fb195ce, 0x96ed9f93, 0xb340210c,
+    0xb0ce9640, 0x24377145, 0xb0e3b535, 0x5a85e8ae, 0x7c15f41b, 0xf0a27d6c, 0xa1ecdda9, 0x472e74ef,
+    0x564722ff, 0x7280d64e, 0xab2070e1, 0x3116dcff, 0xecb19f71, 0x2dc5c13b, 0x5f287a1e, 0xd2cafed7,
+    0x20bf164f, 0x825db5fa, 0xb4ab4277, 0x2a8afa1d, 0xd576bf0f, 0x5c333402, 0x4646878a, 0x10ab2c33,
+    0x789e6559, 0xd9ee0cc0, 0x0fd59263, 0x7bf5906a, 0xcae19afe, 0x8db5ef2e, 0xdc1bb848, 0x67b9f55c,
+    0x24abf5f4, 0x3210c84a, 0x324204fe, 0xe1fa2ae1, 0x2e8de920, 0xa8225557, 0x6daf1cab, 0x2a364599,
+    0xe6183ece, 0x580ba16b, 0xac9fd669, 0x9561e0ba, 0x4ea93293, 0x4084112a, 0x5079f02c, 0xce91cb8e,
+    0x62c4ac0f, 0xd290938b, 0x5bb8a3fd, 0xc0baae62, 0xce84f1d3, 0x98e684f7, 0x821bef0e, 0x7c062ea8,
+    0xbe2a3d58, 0xed5e74ab, 0xe2688eb8, 0x78f67458, 0x2c4ccd38, 0x07d0df65, 0xa059f7c5, 0xe505d952,
+    0x18568131, 0xb04d57e1, 0xdac24784, 0xf83b4108, 0x07a70a31, 0xd5ecc104, 0x75395891, 0xc4705dcf,
+    0x9bcad0ba, 0x6ca03086, 0x3ca2f987, 0x71e12aca, 0x65c5eddb, 0x7f872668, 0x7f36595b, 0xc2fde3de,
+    0x222d70fb, 0x05803213, 0x32663cca, 0x8286901b, 0x6df4ea3d, 0x7ec53d94, 0x00a2f471, 0xecaa5f39,
+    0xe5b2cf67, 0x0c97bdd5, 0x0ad3ba5e, 0xc1d656bf, 0x2fe1ce52, 0x3b37fa7e, 0x6f69920e, 0xafd3c475,
+    0x24ee0f6f, 0xe1cc7a79, 0x0da05416, 0x2f0aad6a, 0x80886684, 0xd1c1b2ca, 0x3262a998, 0x65936ece,
+    0xc6f7f8b6, 0x7cf42ad4, 0x48429a3b, 0x64dc93b2, 0xd428f8c7, 0xf9e83fa8, 0xe75643c5, 0x54d936ac,
+    0x1e198fc7, 0x08023b8a, 0x723fa135, 0x2f549a29, 0x8cf85951, 0x89d0da45, 0x2c8c8d76, 0xb3fc346a,
+    0x08bcb7a4, 0x03b29e69, 0x664b3b19, 0x4388c99d, 0xa292cd54, 0x4a129d06, 0x3a7e1d1f, 0xf8ba35f6,
+    0x00000000,
+    0xf9d1f124, 0x7ef4eea8, 0x2ce83328, 0x6404173c, 0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e,
+    0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000002799680927722255263196802\
+                         85071055534765205687154331191862498637620473983897520118172609686658950889472 */
+  { 0x00000000,
+    0x05bd2ed0, 0xe1a02595, 0x28de7014, 0x1e8e92e8, 0xbee8d5f6, 0x5205ba63, 0x3ddd9f4c, 0x159f2123,
+    0xa2161995, 0xa297cd5f, 0x4e3fd65c, 0xa075c95e, 0x41222d1d, 0xe05e9fac, 0x512ec578, 0xfb6c9912,
+    0x5e047712, 0x327b5bbb, 0xd2ec79f9, 0x5ad49d49, 0x3fbe8dd7, 0x5ad53aa0, 0x48d9a766, 0xcbdd0e09,
+    0xa845a10b, 0x8c510c71, 0x31630cfe, 0xb35ffda0, 0x3ea32cf2, 0x367b29f7, 0x1f649f30, 0x45d893cc,
+    0x0439fe7b, 0xf9b3d33d, 0x595bc62b, 0x8022b4b5, 0xb7465fbe, 0x963cbb1c, 0x897355c0, 0xbcedc5b5,
+    0x06a41071, 0xa0e8b6bf, 0x629cbe30, 0x350976e4, 0x12e7523d, 0xd8ca7c4d, 0x26673d33, 0x21530978,
+    0x43fa2248, 0x7cab864e, 0x43b857e9, 0x7436fb90, 0xfd98b80e, 0xd9d4ee66, 0x7755ca95, 0xf6e40dd8,
+    0x7125b7ff, 0xb63cb124, 0x36855b35, 0xfd21f29a, 0x656276ed, 0x1ec76de2, 0xfb7bed54, 0x362b85d2,
+    0x011f080b, 0xae96f75e, 0xfed2e513, 0x2a23f5a3, 0x8d6499c0, 0xcc2c74b4, 0x1a434e27, 0x482cc382,
+    0x25fefd27, 0x7d9f4bf9, 0x22cafbc1, 0xa5074dc6, 0x38d3c17a, 0x35bfc166, 0x437b87f1, 0x4d8a564c,
+    0xa9586e41, 0x8c19f60d, 0xb91dce6b, 0x88c6ad6b, 0x9deebc03, 0x14a33f9d, 0x14ca1fb5, 0x09305c50,
+    0x377cae2a, 0x8f61ce35, 0x47904f93, 0xee0e6ab5, 0x14d55511, 0xfda794cd, 0xc95abe3c, 0x3709b7c2,
+    0xe3e413bb, 0xd725f8d4, 0x3cefc102, 0xb183545b, 0x022450ac, 0xc3a986bb, 0x6b753d0c, 0xd5fd904c,
+    0xf3a215df, 0x851c45c6, 0xa7823948, 0x18c349c9, 0xb7ec36bb, 0xaf673835, 0xf667cd2d, 0x07a1676c,
+    0xad75b335, 0xc60499c9, 0x9fc45770, 0xdca8226a, 0x497a57c5, 0xa2fc5d45, 0xfaed7f7a, 0xfa9f9078,
+    0xb75f737a, 0xa7b79201, 0x8993c3ef, 0xff80ca49, 0x9067e7f2, 0x82a298ca, 0x4c78f99b, 0xeb8bf621,
+    0x9e3de869, 0x8d1fa7a3, 0x91781de2, 0x82277092, 0x3bb8ca0a, 0x45144056, 0x3d98c9b7, 0x01bd575b,
+    0x7fb6ad2b, 0xe84b8ba1, 0x191a64c0, 0x9e4586b6, 0x736f9408, 0x8e16db76, 0x70d4e042, 0xbc5e8667,
+    0x5739f695, 0x85118ec4, 0x94942c28, 0x57295b49, 0x7551d811, 0xb764a1be, 0x5cd6f9d0, 0x911c427b,
+    0x7ace6af5, 0x0ffb3ac7, 0x1ab82bf3, 0x2ffb75ce, 0xc6398bd2, 0xdd9049d6, 0x0820220c, 0x951bc3e4,
+    0xb65b61c9, 0xa643a6d8, 0xaa2eac15, 0x63a17feb, 0xed03fb3a, 0x85678a31, 0x55ca1da7, 0x0053b659,
+    0x2de3f06c, 0xbc528ec1, 0xc217a9a6, 0x75ca0640, 0x865c1d04, 0x60a2c901, 0xac9bf48d, 0x1fde23c8,
+    0x09fb81cd, 0x15585d7b, 0xb971bc21, 0x1302895b, 0xfb25ded1, 0x7bf9a6e3, 0xf4d9fa72, 0x87f3fb83,
+    0x10094d7b, 0xbfbf754a, 0xcf381a69, 0xf0f06e63, 0xa17351fd, 0xd4d45cc5, 0x5869a87d, 0x0c3172ef,
+    0x0b114413, 0xcff83436, 0x0901288c, 0xae1b3ced, 0x6db9e38c, 0xa596afee, 0x103cdd79, 0xadd08eef,
+    0x2ef7cfaf, 0xeb53c0a7, 0x2e9d57bb, 0x262e6208, 0xbc2d9090, 0x94bf2594, 0x63849f39, 0x6df7a4dd,
+    0x7b3ed205, 0xb200ced0, 0x4c2b15be, 0xef45d28d, 0x7f1c9b2c, 0x5c59e366, 0x9c927001, 0xa153c8a7,
+    0x50c08151, 0x1f4b5bfb, 0x1070d942, 0xb2fbeb2e, 0x3edc2078, 0xd56b0c33, 0x2f22c09b, 0xbd77ad2a,
+    0x8c8e30f9, 0x6ec179f4, 0x1795b8ec, 0xf9920c9a, 0x4e6ac72c, 0xd5a97a28, 0xa17bcc5e, 0x2129fc9f,
+    0x3026c1b5, 0x6f2c4d2d, 0xd216b13e, 0xbc82fb54, 0x7c60802b, 0x0d7a2184, 0x1ed08a2e, 0x6ce36494,
+    0xa7007ee6, 0x97fcf109, 0x057de970, 0x86b78678, 0xb6c17262, 0xf6836562, 0x1f8f599c, 0x663b2f29,
+    0xc3e05eb1, 0xd11d2072, 0xaeeeb3c2, 0xe8d10ba4, 0x790f20a2, 0xc83ba952, 0xe62ad5e9, 0x41a457b5,
+    0x8520d488, 0x0643fab3, 0x5eecf9b8, 0xf409b3dd, 0x858b3716, 0xd251528c, 0xac955801, 0x4c379824,
+    0x1a7ccc70, 0xf80489b9, 0xc629c09e, 0x1349bf1d, 0xd153c019, 0x3b55a6b2, 0x018e524d, 0xe36cf74d,
+    0x78f33dda, 0xad5dff67, 0x8ddda834, 0x308a3781, 0xe0e21d91, 0xd1719fbc, 0x92d30db8, 0x2cd27a85,
+    0x56462119, 0xc9cb58c2, 0x0895f37c, 0x03da0518, 0x318999a7, 0xfd82de9a, 0x3d2d7bdd, 0xabc192dd,
+    0xd5ab4915, 0x95f55209, 0x71d05fe2, 0xba5e4fae, 0xb42ec619, 0x5e53e2a1, 0x8f234eab, 0x34ad3632,
+    0x38df156b, 0x6a5548a6, 0xe9ed1b03, 0x26f94bb6, 0x3094ac41, 0x182f1b2e, 0xa820596c, 0x14fe34f7,
+    0xfba7d17c, 0x77afedef, 0x2ca049ed, 0x3f3e6f6d, 0x71a09f80, 0x8efad35d, 0x76208d21, 0x0bcbbf13,
+    0xab7fe3bf, 0xbeecbeb6, 0x9cf7d072, 0x05c03e5b, 0xe9daca8e, 0xc0b68778, 0x68469b1e, 0x19f75919,
+    0x20821911, 0xc19ddea2, 0x20c01f91, 0x08ed2f2f, 0xbdf25e7d, 0x064706a5, 0xb64af58f, 0x1318d26d,
+    0xb7767a2c, 0x6d903fd4, 0xe8d0bbfc, 0x2f8a86f3, 0x892522cb, 0xe80ff546, 0x36f3c02d, 0xcec6865a,
+    0x8ae6d527, 0x7a6d04d6, 0x4cdd6b62, 0x0502f77f, 0x6f82f936, 0xd6a49513, 0xc3a7ebe5, 0x65c71212,
+    0xe3e73e00, 0x76786310, 0x85d2b51d, 0xff50e556, 0xe8b9caa0, 0x5b733383, 0x26be2e37, 0x526ae827,
+    0x0aa6df0f, 0xf6bc70b4, 0xba83c519, 0x2751bf3c, 0x450645e8, 0xb2766839, 0x215c6a7f, 0x20b79d9d,
+    0x4a770946, 0x45a39ecc, 0x137d0862, 0xa8c0e04a, 0xcba7038f, 0x483ca38d, 0xa1bf4ea0, 0x82ab55f6,
+    0x1eb71151, 0x49d67495, 0xb59f5801, 0x0539b4f9, 0x4dad11ea, 0xd661ca3f, 0xc826e35e, 0xe46d1a7b,
+    0xd52a533c, 0x58eec773, 0x8eb2a84d, 0x3877b87e, 0xaa462294, 0x07497d4b, 0x77ebb7e0, 0xeb1cf2a5,
+    0xf7c872b8, 0xf1a0f078, 0x93dba02f, 0x9c150b72, 0x334216c5, 0x1f9718fb, 0x49ab36e6, 0x879fd49a,
+    0x5b27d2bf, 0xc54aac35, 0x2975e174, 0xc26f5d37, 0xa1d93acc, 0xaaced2ed, 0x680d4614, 0xd42079ff,
+    0x8893a00f, 0xc05dbb0f, 0x868d9bfb, 0x4160319c, 0x466500e0, 0xf4373214, 0x30623a1d, 0x8bd34dd8,
+    0x7eb3a24a, 0x0243fae1, 0x6fbc776a, 0xef3e8354, 0x1c4972b0, 0x319578c8, 0x11e42454, 0xd71b58ff,
+    0x284f2562, 0x9d241407, 0xe4af0bbc, 0x3610bb7a, 0x183b7271, 0x2b48634d, 0xefcf4746, 0x6141f730,
+    0x30c3cec2, 0xfb6b68a6, 0x235ed4c0, 0x24b68985, 0xf88002bd, 0xf0f2bd55, 0x269bc784, 0x5dba37a2,
+    0x56d9b183, 0xe50abeda, 0x32094e28, 0xd107b7b4, 0x2bbe3cde, 0x565311cd, 0xfb251256, 0x2830c591,
+    0x9d2a4e4c, 0x959fac42, 0x2c499c11, 0xe0849dce, 0xbd6315a3, 0x865b7d8b, 0xd36cb2fb, 0x9ec312f2,
+    0x03e67b8c, 0x283e3a4b, 0x9df12cc6, 0x05f1e090, 0x2dd914d7, 0xe3696d78, 0x60b4d028, 0xe9160bcf,
+    0x2354b37d, 0xd8b8ca0b, 0x201f4dc2, 0x1cd04c10, 0xceb63fd9, 0x930b64a3, 0x98447f76, 0x5f0ec487,
+    0xa4cbce4d, 0x614dd89f, 0xda6f6cd4, 0x3fdd0ff5, 0x8da818b5, 0x130e342d, 0xe6ae7c99, 0x0871d466,
+    0x534d7dd9, 0xa1fbb300, 0xcff314b6, 0xf7031bf0, 0xb5ade28d, 0x1d2704ef, 0x7bcc6e9b, 0xcfc61b74,
+    0x3ec2f5d6, 0x3533b4b7, 0x61027d31, 0x72b6ba85, 0xba966d4a, 0x4959ed9e, 0xc876e61f, 0x50ba4ace,
+    0x36c2ffca, 0xde2e5c01, 0xa1149579, 0x1d976499, 0x7354736b, 0x64a3320c, 0x2a2bee68, 0x85176797,
+    0x58f1e557, 0x73ef29a3, 0xaa424514, 0xd49106db, 0xa469a6cd, 0xe91d82f5, 0x10954e59, 0xc0858d9e,
+    0xcd79b6d1, 0x0db1e6cc, 0x3be32e23, 0x884538f1, 0xf1ef8c0b, 0x4b66312a, 0xf2585858, 0x2f4ad4eb,
+    0x8eef7078, 0xe5279937, 0xf0ac9f3c, 0x57530e31, 0x7069282e, 0x36abaa87, 0x5431cbd1, 0xfb33f568,
+    0x54ad60d1, 0xefc59d86, 0x163a8648, 0x6907e7eb, 0xe213e1cf, 0xb194a61c, 0xc0cc87c0, 0x4369b5c7,
+    0xd28f9f47, 0x2286690b, 0x2ea7c3b5, 0x0381dba8, 0xb3c094ad, 0x1c38b1b0, 0x8eb598be, 0xc8a8e889,
+    0x61b6e918, 0x264b09d7, 0x11fdf7f4, 0xc55d5c7d, 0x2596aa49, 0x603429e5, 0x3949ec23, 0x81b4739a,
+    0x0b504f7d, 0x09f3515e, 0x991c79ef, 0x6dfc6240, 0x1e3d75bb, 0x471a5ea2, 0xff591d17, 0xc425988b,
+    0x3e53e1c3, 0x0c137b2f, 0xa8aa04d4, 0x50959848, 0x2a6c8234, 0x8a0dedb2, 0x67ed4b58, 0x6e920594,
+    0xec471031, 0x2738f7b3, 0x5cf423e4, 0xe66df3a2, 0xa09f6fc9, 0x03947e27, 0xfe88258c, 0x6e9d92a8,
+    0x7efe2e6c, 0xde09845e, 0x70095582, 0x79ca418c, 0xbe773090, 0x489febf4, 0xddf79929, 0xa8e83853,
+    0x23a5c68f, 0x5f9e16e3, 0xfb1b39fc, 0x1fc8572b, 0xdadb6e44, 0x81ba8854, 0xf451484c, 0xa1a37f1a,
+    0xe0ccf4d5, 0x269f848a, 0xd8eb8acc, 0xb0da8429, 0x619e558e, 0x8995bc54, 0x85690572, 0x6bd9daf7,
+    0x7dc416c8, 0x363ec3cf, 0x1257ce49, 0x774b6469, 0x7461d9a9, 0x159ba2d1, 0xd6e1fff7, 0x3e0450c7,
+    0x2623673e, 0x6a94706e, 0xe3ef724a, 0xe2e18c8e, 0x77470c59, 0x99c94b26, 0xb279bba3, 0x9b1f0f66,
+    0x0332e0e9, 0x67217172, 0xe9646ef7, 0x97133a45, 0x3138d80f, 0x623a1b17, 0x51ca250f, 0x8d16f357,
+    0xca47c580, 0xfa8e9467, 0xead7661d, 0xccdf506a, 0xf51df3a1, 0x141bc09a, 0xf1e237b4, 0xc27671d6,
+    0xa7d5d83b, 0x15742d98, 0x852738ab, 0x7e471f35, 0x6e8b8b3c, 0x8e727a88, 0xc1ed273a, 0x2a0b2136,
+    0xcaa986f9, 0x379e570b, 0x7d96478a, 0xf8118dd6, 0xaa7c29dd, 0x8aa6ed43, 0xcb1e2220, 0x3eebff47,
+    0x7cb9b2e9, 0xe92456b7, 0xa193966b, 0xecae3a9c, 0xfe13c65b, 0x333dd816, 0x1aea32ca, 0xa0a124a8,
+    0x27f4f823, 0xd47bad5a, 0x00b7f9ef, 0x407be76f, 0x624ac1d1, 0xcc644457, 0x267d6f34, 0x6b7a4e1e,
+    0xe7409d39, 0x05a29690, 0xedc9f01f, 0x98d04e6b, 0xdd86193a, 0x7e48ba64, 0x455d1f6d, 0x7463ff1c,
+    0x163d4717, 0xd76e86e2, 0x191a70aa, 0xec62075b, 0x82cc54b7, 0xb834151a, 0x03c3ed59, 0x782240fe,
+    0x885d98e6, 0x4eac0ae0, 0x46ba254c, 0xae5eacb8, 0x1ce6715d, 0x3db57676, 0x37833779, 0x8d03edf4,
+    0xc183a241, 0xd4c8f88f, 0x3ac22dec, 0xd0eac345, 0xb608fb9e, 0xd293f63d, 0xf5ea0da2, 0x4fd13d3a,
+    0x05065540, 0xe659eb46, 0xa320cd0c, 0xf93e7cdc, 0x42a41399, 0xc48046ed, 0xa8d8f751, 0xb1039647,
+    0x76baa21d, 0x8cb52986, 0xeb66e43b, 0x834de901, 0x748e429a, 0xa419a037, 0x7aa76191, 0x4484cba8,
+    0xe3a2e67f, 0x96f0633d, 0x5a40818f, 0xfee4027e, 0x830b1caa, 0xdfd7d2e2, 0x498e2f9a, 0x2926ef7f,
+    0x55663718, 0x81c14ca7, 0xadd0d59f, 0x3e645107, 0x60b4f419, 0x0fd3c8d2, 0x4c8cb65a, 0xfc5fa4c6,
+    0x0bcc4aa0, 0x7c7880c3, 0x2b00d81b, 0xb31313c4, 0x1796aea4, 0x4325af7a, 0xdb5aae2d, 0xf53fc6a4,
+    0x2c070f64, 0x6623a333, 0x2014f744, 0x095695c0, 0x8250c8e0, 0x573c70d8, 0x8799aaf8, 0x1982f7ce,
+    0x14870829, 0x8de9dde1, 0xb3ed8bfc, 0x2550e498, 0x5f6ef0b7, 0xc2fe6f92, 0x6751977b, 0x85d8e191,
+    0xee7fdc92, 0xb895ab3a, 0xc59b7f3b, 0x5dd3eb68, 0x5d61a01b, 0xf805c506, 0x33441f06, 0x2680ea5f,
+    0xb28663fc, 0xd270b5aa, 0x0481f092, 0xa21c5410, 0xd0332e5e, 0x6fddce87, 0xfdf5cef4, 0x3df95606,
+    0x8f087b07, 0xef229074, 0x51b71de3, 0xd98c852b, 0xc863b799, 0xe1a45f66, 0x326744ee, 0x09bcdfae,
+    0x707dff55, 0x4aa65e62, 0xd18dad85, 0x69f23ec8, 0xe131973b, 0xc9c199db, 0x95631bd6, 0x7a9145b6,
+    0x29d101f1, 0x9ebdb8bc, 0x1119febe, 0xcb889fdf, 0x7c21a1b5, 0xf0d24af7, 0x36fc1ba0, 0x4ac64cb6,
+    0x667d9471, 0xd6dd2fae, 0xfd6b3396, 0xe3ddaa9c, 0x8aee42f7, 0x7160f006, 0x70f0c0e1, 0xa7aeee8f,
+    0x684be349, 0x92e48031, 0x83a87268, 0x0c987210, 0x52c4e4c7, 0xcf8fad18, 0x9393f0e0, 0x803a5282,
+    0xe17e0325, 0x5b2825d5, 0xbe8ccfb0, 0xeeb6b1fd, 0x73171772, 0x79b8ae98, 0x2c3352c9, 0xb27ef7ab,
+    0x27ff3e80, 0xb4f672fe, 0x9d9b299a, 0xdec5ce9c, 0xb2b4a5d5, 0x961a295e, 0x208ce9fa, 0x9982d768,
+    0x2805a47e, 0x80b8283c, 0x453a9efd, 0x5312b4fe, 0x6e7b3d6b, 0x3402e671, 0x15739e3c, 0xf2a57dec,
+    0xe822c63e, 0x636a5821, 0x25b28f87, 0x93bd01e4, 0x2381c538, 0xb9fc9138, 0x358db781, 0x6fa8807c,
+    0x2157a85c, 0x5a07ffa3, 0x75cbbcf9, 0x67eb4864, 0x6943c4ce, 0xdd465320, 0x9034c742, 0x33729cbc,
+    0x5a87a4be, 0x0a2db1eb, 0xfad4d8fa, 0x618ea667, 0xe33d8152, 0xa4e4c05f, 0xfded7d88, 0xbbd8553b,
+    0xd20c6d83, 0xbb5825a4, 0xc9ba6f59, 0xa4334946, 0x8a91a6ce, 0x623d5536, 0x090861f6, 0x4535783a,
+    0xc457672b, 0x6f1a9161, 0x97070b5f, 0xfba74825, 0x4cff3dcd, 0x8c356b92, 0x9e7f9215, 0xbd4817dd,
+    0xc2379a39, 0xbcf5b93f, 0x778c9a87, 0xbca242c3, 0xc73da26b, 0x892298b2, 0x040fe7e8, 0x1b6fe1ff,
+    0xd45067c7, 0x99bf19c5, 0x39ba8100, 0x039b4c09, 0xca0f2e50, 0xd94532e9, 0x38fc38cf, 0xf747ba58,
+    0x3a1d6288, 0x7aae841d, 0x29c9706a, 0x5bcf8514, 0x1d5c6075, 0x16215197, 0xd8c51578, 0xaf73934f,
+    0xd0a4817d, 0xb7875338, 0x7a253e00, 0xf9c524f5, 0xe131d01b, 0x86376859, 0x35b3bbe2, 0x82e9cb3d,
+    0xea3db8f6, 0x4d0bca45, 0x921b4455, 0x6a872a4c, 0x849ee963, 0xf5268dbe, 0x4c0511e2, 0x857ae440,
+    0xd0adee41, 0xcdf688d5, 0x2a6a4afb, 0x5b4252f1, 0xed753465, 0xd6d59bf9, 0xe0699b36, 0x0d6250bd,
+    0xf0675eee, 0x0018c40f, 0x6755a17a, 0x6cf37de2, 0x137f4f19, 0xd4bc49df, 0xfe55b98e, 0x5f348e36,
+    0xf28ce1ed, 0x8cf573a7, 0xee77a0c9, 0x601be19a, 0x566c1895, 0x6f6fdc3a, 0xb83de790, 0x2591f96a,
+    0xd027ad3f, 0x01fda811, 0x7be1488c, 0xb99be09a, 0xa90b0508, 0x523a1991, 0xbdaf8956, 0x831a928f,
+    0xb10dd171, 0x8d58847b, 0xbb47a30f, 0xe43dbf7a, 0xa2d4e140, 0xdfcdf035, 0x81afaf72, 0xb48c5691,
+    0xedf34184, 0xdcbb3ad0, 0xbc8e0446, 0x3bfd48b5, 0xb942d0b6, 0x1f4af999, 0xd5240fac, 0xecda5380,
+    0x907519d3, 0x5daec788, 0x46ebd7ff, 0x54856919, 0xaa7417d3, 0xb2e28b55, 0x9f33975f, 0xf2af9e89,
+    0x34d76e09, 0xa3db82a4, 0xe6928169, 0x818a3998, 0x28186f55, 0xf080394d, 0xc0e8977c, 0x6553b393,
+    0x2d0ce49a, 0xd3a45592, 0x1f912826, 0x0d8cd166, 0x8e9e6f59, 0x32cda9a8, 0xa82f665d, 0x54163c45,
+    0x5b4920c9, 0x6c011a29, 0x8d316139, 0x63aeb302, 0x992903a4, 0xef87266d, 0x7b1e8f9e, 0x0218379d,
+    0xafc47ae1, 0x58f741e2, 0xbe4d1024, 0x9d1b035d, 0xfa5d1a4e, 0x95ef70bf, 0x735dd18f, 0xe57f214a,
+    0xbb7b795e, 0xd300b730, 0x8f306075, 0xa3211821, 0x3ea6eb89, 0xb6a267bb, 0x26719e1c, 0xb43aae71,
+    0xe67c289c, 0xd871b65a, 0x9b09c597, 0xadef51c1, 0x6e6fbff3, 0xcf0733aa, 0xc05a58f4, 0xfc5665fe,
+    0x00000000,
+    0x7ce8f891, 0x3f7a7754, 0x16741994, 0xb2020b9e, 0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf,
+    0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000001399840463861127631598401\
+                         42535527767382602843577165595931249318810236991948760059086304843329475444736 */
+  { 0x00000000,
+    0x766f8cab, 0x4ab1d41b, 0xafc89da6, 0x7771a93f, 0x2215a119, 0x497a99ec, 0xcf90cf1e, 0x51958b8d,
+    0x489aa6cc, 0x230c075d, 0x803de467, 0x8b6000f8, 0xb160d082, 0x7efa8e0a, 0xc8f2c069, 0xdbd348fa,
+    0xc8c2e13e, 0xf9b8e0ad, 0x91b621f0, 0xc80d28e7, 0xc411c116, 0x51a73a61, 0x624fc6cc, 0x2534d2a1,
+    0x76dccfa0, 0xae4d634b, 0x39bf4345, 0xf9545334, 0x9444c94e, 0xdaa73cf8, 0x2dc7669f, 0xdc9e7a3b,
+    0xf3f1aafb, 0x8fb26b9d, 0x67e20646, 0xd1c39ac5, 0x9d79e02e, 0x6ecd731b, 0x6338b839, 0x0dfb4c33,
+    0x1b515ba6, 0x765ddf57, 0x44ba8570, 0x8817bc2c, 0x7e6a18c0, 0x70379d83, 0xf38cb2ab, 0x3426fe2c,
+    0x3295a922, 0xcdf4c88b, 0xcc2e1275, 0xee24d156, 0x11f4a361, 0x7b835ad8, 0xfb7b4d52, 0x744ee0d6,
+    0x5fcf3711, 0x7718b70d, 0x7357067c, 0xee547512, 0x15185d0f, 0xc3f2232e, 0xfa074004, 0x11a4ab53,
+    0xf12882d1, 0xeaea98b9, 0x27001cd8, 0x1a0ccd40, 0x76f38fac, 0x1810cd38, 0xc8332ab2, 0x3fa13cf4,
+    0x7530fd00, 0x4ee5a170, 0x7dd1ea00, 0x7895e6f9, 0x47c3a17a, 0x09f6e088, 0xa728077a, 0xec386fed,
+    0x1e8db4d2, 0x8cdf2908, 0xadffa46c, 0x2984778b, 0xd16604d9, 0xd1d1e55a, 0x6f8fdba2, 0x54a95959,
+    0xdd711957, 0xcee554c5, 0x40084282, 0xb94cb042, 0x61ab963d, 0x1f1ce9b2, 0x8d620e2b, 0x9107f805,
+    0xfba44339, 0x54968e17, 0xc245d78a, 0x6065cbf9, 0xaf885164, 0x4b22e61f, 0xc76c6fee, 0xbfaf049a,
+    0x6d16fd63, 0x40ff8105, 0xd2694cef, 0x34424fe0, 0xf94a2f85, 0xf8c7910d, 0x66e4f8ce, 0x4441ee63,
+    0x40d618fc, 0x756b0f09, 0xb94bcad0, 0x0408b53c, 0xc3d192a2, 0xda1d2bd7, 0xa727244a, 0xf3e10ba0,
+    0x7d0e2746, 0xf8b9b888, 0x9a36d432, 0x5c5adb82, 0x68723f9b, 0xc37c4e85, 0x7ca0195d, 0x841c3cd5,
+    0x332f398a, 0x00c2d4e3, 0x8c605fde, 0x0ae5802f, 0x942797e4, 0x00825bd3, 0x2fd95bb6, 0x6c6bef5e,
+    0x5db255e6, 0xba581fa4, 0x2bd8eb27, 0xa8750517, 0x41b822ff, 0xbee9ba13, 0x3c230c4b, 0x355e3ade,
+    0xca9d4f92, 0x7db55a12, 0x86458a9a, 0xf4872682, 0x44fb8c4a, 0x1c505bfb, 0xa88df9d3, 0x8fa972b9,
+    0x011691fb, 0x85ecfece, 0x35d0c408, 0xa3a2b07d, 0xf0f61706, 0xd002dfb6, 0x36b5c45c, 0x73a590cc,
+    0x70871dff, 0x5226f26d, 0xdc05b093, 0x5b214031, 0x85739ba9, 0x0534c377, 0xef79460a, 0x4bcb879c,
+    0x91ccbf00, 0x2bcf3198, 0xb7d3e03d, 0xb8177605, 0xe1db97f2, 0x65a68413, 0x1fd8007d, 0xeac2de7b,
+    0x11bb2445, 0x6b01aa32, 0x78fec65e, 0x08026c93, 0x719d177e, 0x6186c322, 0xf99d06e7, 0xe2abba16,
+    0x7a9923aa, 0x576b1f8c, 0x3e9ef6b7, 0xc51c8125, 0x13b73dbc, 0xef021a73, 0xffaaa2e5, 0xdbf9a5c3,
+    0x57654c7a, 0x2f00fe84, 0xa99dffe7, 0xb42b5882, 0xe3f51068, 0x0fd8c46f, 0xe0d5d1eb, 0xfe96569a,
+    0x1b37dbbe, 0x882b4614, 0x5d2505b9, 0xbe3e63fc, 0xe6a5325e, 0xb6d845b4, 0xfd923c52, 0x7c9a9e1c,
+    0x88b76aa1, 0x7a9c9ff9, 0x2f529fac, 0xc34e3ede, 0xff4220bd, 0x6cf83c7c, 0x803d40ca, 0x53f3dd52,
+    0x1b31fa0c, 0x292716ab, 0x3ff89bec, 0x0ae3f818, 0x365f0507, 0xfba96e5a, 0xa5b685cd, 0x4c33261f,
+    0xe00bff46, 0x41a652f1, 0xab6daf8a, 0xec68db02, 0x580189f1, 0xfc64bd83, 0xdd7c467e, 0xbcdb447c,
+    0x19ed3539, 0xe830fcf3, 0x948be2ee, 0x2bbe6acb, 0x21fa5e0b, 0x32c343aa, 0x97db915f, 0x3f3bec8a,
+    0xe1f4975f, 0xdea93c85, 0xe310a258, 0x717a2bc6, 0x5cd0aa54, 0xe997139c, 0xe6fc03b9, 0x98c22105,
+    0x48355bfe, 0xc80ce29b, 0xc26fe3e2, 0x3a4ec53f, 0x0816424a, 0x2e8aa09e, 0xb0b22615, 0xd8589778,
+    0xf4980b3a, 0x84a34c01, 0xdf5283f4, 0xdc293cd1, 0x9abc0876, 0x72ec48de, 0xee49c510, 0x51340b7a,
+    0xdcd925d9, 0x65d4903c, 0x33f854aa, 0xe820426c, 0x805c078a, 0x404f4fbf, 0x8494b935, 0xe4240616,
+    0x0434ebc9, 0x2c6d6392, 0xfdab1238, 0x69f81e93, 0x77728ebd, 0xe45e2f3a, 0xdd2ed689, 0xbc9f5dbd,
+    0xe15367a9, 0x75609ed7, 0xa5c67a36, 0x0612ccfd, 0x02421f49, 0x56cc07c8, 0x69ecc0d5, 0x7dec050b,
+    0x8c6b720f, 0xa53a5a67, 0xdb5f9a4e, 0x13bd1e8e, 0xa715ffe2, 0x12358601, 0xa64e2376, 0x25f663e8,
+    0xb66d8d0e, 0xffad87b7, 0x9939beb3, 0xa029f959, 0x0e0ad0d2, 0x4ffc6c84, 0x2c7998a2, 0x3f8f2c7e,
+    0x3a9caa28, 0x5c4ea310, 0xfae1468b, 0x8a8c37d5, 0x21ff0d26, 0x959effe5, 0xb54515de, 0x1e7fd387,
+    0x11bfb472, 0xd2c79a0f, 0xe559d4bc, 0xf81b810a, 0xa0b2957e, 0x96fd460a, 0xbfe50408, 0xf68cdd7c,
+    0x576f85b1, 0xc337c15f, 0xaf9b2c85, 0xe060b422, 0xe4c0bf88, 0x03f349c6, 0xdf47499d, 0xe1a36b24,
+    0xe15f969b, 0xb3f2a3ca, 0x54955032, 0x34352658, 0xae0af2d7, 0x26b2c1bb, 0x99fd40b6, 0x0183a2c0,
+    0x9f22214c, 0x87425bbc, 0xa38c50d4, 0x4b2cc5e8, 0xc4684610, 0x8b924f69, 0x54acaf01, 0x620db1d7,
+    0x5ccdb21d, 0xb0adf9b2, 0x24049256, 0xe1973e8e, 0xcbb273f2, 0x59ad6dda, 0xb8a112fb, 0x0db44e96,
+    0x7741c793, 0xcfe6edc5, 0x01655945, 0x1af2a772, 0xc3af24bb, 0x13444381, 0xbcd18001, 0x08332eba,
+    0x8502a601, 0xb6286627, 0x6d612187, 0x23a2001b, 0x9ad40aa1, 0xa4e5c4c3, 0x9b84c3c5, 0x9d388ae6,
+    0x3ccaab41, 0x10312ce0, 0xfe3577b7, 0xa758d423, 0xb7a1940b, 0x975902e4, 0x514c0d23, 0xa83b275f,
+    0x8372aaf8, 0x2a9a4fcb, 0xb83bb202, 0xcdcfae2f, 0xa2a1da95, 0x0d3fd179, 0x473ba9b2, 0xfdc3b51c,
+    0xfd33af5e, 0x67ca9e66, 0xe2eb4a68, 0x951b0fe1, 0xb6538682, 0x8634cee7, 0x10af21b2, 0x72ba57e3,
+    0xf913bb5f, 0xfc9a4111, 0x5088f039, 0xfb06aff0, 0xf1eeb40a, 0x6858aee3, 0x195ee941, 0x21005d77,
+    0x84f855a2, 0xcfc2519f, 0x48ec0510, 0x4f589381, 0x7d3b133a, 0x9da3c7c1, 0xa42b3caf, 0x4802a091,
+    0xc7db0006, 0xb5ebf1c5, 0x4c70fb6c, 0x62a271c6, 0x121c4f8e, 0x145f349e, 0x5c578e14, 0x0ef7da7a,
+    0x7b050408, 0xc5aa3566, 0x9493bea2, 0x1829a0ac, 0x983df7d5, 0x73d731aa, 0x7b1a251d, 0x058cd09e,
+    0x03f4dbc5, 0x1e59ea96, 0xf4097309, 0x2b23525f, 0xcb90d255, 0x08c841be, 0xcf61801d, 0xa841dee7,
+    0x94eed224, 0x6b2e9022, 0x62cd08a5, 0xa25d2a06, 0xead40782, 0x5096e772, 0x73ef51a8, 0x1cfc9a5c,
+    0x53fd5ad1, 0x879558c2, 0xcaf03aea, 0xa13f6657, 0xa9c019bd, 0x9b87ab98, 0x3fdd2cca, 0x01402d7c,
+    0x40a5b878, 0x0252958f, 0x833f4c1f, 0x6cbeae1d, 0x225abc16, 0xa092a12a, 0x56c75dd1, 0x963c73d7,
+    0xd83f2ec2, 0x9aa58a30, 0x7d9822d0, 0xb6e235c6, 0xa685e167, 0xb3409515, 0x6a3a5ef5, 0x7b6a5937,
+    0x8a40a4b8, 0x863b051c, 0x91e142f4, 0xf98fb679, 0x6fd8b602, 0x35524f9c, 0x83702c75, 0x49e75139,
+    0x19c2aa40, 0x68f4e38f, 0x1fc85714, 0x0be9112f, 0x40a604d2, 0xe01acb52, 0xe684f8d3, 0x060f1671,
+    0x6cc91bf5, 0xc4e6ed5d, 0x1b197160, 0xedeef2db, 0x0c358e07, 0x36650b64, 0x683f093a, 0x8341bbb3,
+    0x4812aba2, 0x5659a7ff, 0x4b3384d7, 0xa265ef9e, 0x40f88912, 0xb15dba28, 0xa3cad426, 0x0d3d5c45,
+    0xf54773f6, 0x97482e9f, 0x478e3b75, 0x701b6325, 0xa0f04938, 0x90bb7e07, 0x6863aeaa, 0x71c06e9c,
+    0x4fd91ee9, 0x51fa7716, 0x5588a90f, 0x15adbed2, 0x3b8794d9, 0xa76f0b13, 0x9a9f418a, 0x588f2e37,
+    0x92aff506, 0x768bdb32, 0x47aa8fe4, 0x310c6c0b, 0x695a1be5, 0x95e977d1, 0x71cf06ae, 0x14b5d508,
+    0xeca8289b, 0xebf116f4, 0x23cc3607, 0x5acf96eb, 0x089b068e, 0xd46bf0f9, 0x26d89b47, 0xce9b2eb7,
+    0x7fe8ad56, 0x87328fdb, 0x4d225e91, 0x3cf81f0f, 0xc004dc62, 0xe87031d4, 0xbce361ac, 0x5b8dd611,
+    0xd55c316d, 0xbe1f63c5, 0x76610e02, 0x1beaa5eb, 0x7ee1f4d1, 0x30506ac6, 0x4533299d, 0x2c811499,
+    0x166acf4a, 0xd78dec24, 0x8550e5f1, 0xec57f59f, 0xfc94b37e, 0xa1afa9d1, 0xf2399bf6, 0x346fe244,
+    0x4d10e356, 0x4279680d, 0x66701828, 0xb1c08c7f, 0x3cc85027, 0x6ac37e58, 0x385d18c6, 0x3d884693,
+    0x9305214b, 0x21386c5b, 0x1f434d50, 0x263c0592, 0x2342d15f, 0xf6cce6df, 0xc6f28696, 0x016681cf,
+    0x431d0108, 0x72a10f2b, 0xa57200a1, 0xabc62b71, 0x56fd4cb4, 0x5fa1cd04, 0x1c741658, 0xdc163ecb,
+    0x9a7d9ca8, 0xdc959a5e, 0xc640aefa, 0xef84c5b8, 0xc5c5f889, 0xfded5559, 0x5e513685, 0x026b402f,
+    0xea7cf41e, 0x6981cf03, 0x9e9c2998, 0xad6c9a34, 0xe8538668, 0xb8be7d61, 0xbf1d0896, 0x7f87e5ad,
+    0xcb0f82e7, 0xfdb2231d, 0x135827b8, 0xb6c10b4c, 0xaba05972, 0xdf1c9332, 0x6f1c2127, 0xad4c18b8,
+    0x99fcad79, 0x5152159f, 0x64b78f23, 0xdb67c877, 0x65594551, 0xb83065b6, 0x6743a16b, 0x91f40ac8,
+    0x739eb4ee, 0x0a697247, 0x972ac253, 0x9782f21e, 0xed36caeb, 0x80050160, 0xad0a081a, 0xe47f83c0,
+    0x05cc9993, 0xeea4d8a8, 0xb2d0f356, 0xa70a845e, 0x79c17700, 0xfbfd4060, 0x01bed9ca, 0x0ac10615,
+    0xbf9e295c, 0xb01c4863, 0xb5adbd38, 0xf6d0cd7a, 0xe1e3622b, 0xc2081429, 0xf79973cf, 0x965baae1,
+    0x9ad97684, 0xff450142, 0x117b0dfe, 0x7d8daa23, 0xbde4ebd0, 0x4e29e6d7, 0x94ae3cd1, 0xbd853009,
+    0x7f5455a5, 0x5473434b, 0x1862cd91, 0xf0355911, 0xf6f36a61, 0x89479237, 0x3eb78800, 0x02997c1b,
+    0x6b09a097, 0x1941038a, 0x56ebb622, 0xb485947b, 0x77dbd4ab, 0x2b0431a1, 0xe13ebb9d, 0xcbb67183,
+    0xb1f4c77b, 0x924caec1, 0x2d5e5ab5, 0x269f73cb, 0x3a4779c0, 0x00bfdd2f, 0x6a0f8685, 0x51beb02f,
+    0x8a6bccdf, 0xa52fdb10, 0xa549773e, 0x2e5e488d, 0xfbd5daac, 0x4a0e2b20, 0xbfe7d8f6, 0x58ee8f9c,
+    0xe28eef74, 0xfb60c7ca, 0xfb4c82ea, 0xc15fc3d6, 0x31027269, 0x8be54ddd, 0xb48879b9, 0xceb40d53,
+    0xd9b4b95d, 0x0395e6b3, 0xffd12151, 0x54fec04c, 0x52c561e9, 0xf7d14341, 0xcf223450, 0xef4ffb62,
+    0xc0c56422, 0xde1625f7, 0x0ad935b9, 0xb63ecc18, 0xd4dd86bc, 0xa8d46f1c, 0x87c4907d, 0xc26a5789,
+    0xbb46c40d, 0xe9aa58c9, 0x29f8b932, 0xf6ee0970, 0x2aa952ff, 0xd4b7d67b, 0x740b0009, 0x95fd20da,
+    0x5495d8b8, 0x26692d6c, 0x95af1185, 0xd6cafaff, 0x78197b59, 0xfbe8ba03, 0x146a62c5, 0xce840417,
+    0x7ae1cabc, 0x1369e9c3, 0x3937cec6, 0x963047af, 0xd9f02610, 0x1fb10052, 0x5140e467, 0x8b4fb307,
+    0xb7ab40c6, 0x496df525, 0x74790a4c, 0xb80c41b6, 0x270c2d19, 0xc71784a5, 0xea0e0b8e, 0x37a1af53,
+    0x3b9363ba, 0xca619d57, 0x5df377be, 0xdc8e006f, 0x640983b4, 0xe81c8728, 0xd4bb91b7, 0xbca89743,
+    0x706c639e, 0x27b59552, 0x7df7dec0, 0xa846fa03, 0x05a48804, 0xec54058e, 0x40f63222, 0x0d2c313d,
+    0x6d1f5051, 0x0b8d9045, 0x6215fc2a, 0xd7d72acf, 0x5f46a443, 0x73e06489, 0x48a8aa41, 0x3629a8ea,
+    0xf1768fbf, 0xa036e24a, 0xe7a86bf1, 0x8c390829, 0xd4980e57, 0xf4428abb, 0x49de47dd, 0xb863f539,
+    0xce763eaa, 0x2bad3f63, 0x9dd8c0e6, 0xfdcc03e1, 0x4933de84, 0xd0573dc4, 0xbbc9437c, 0xc666fcf1,
+    0x795d3f92, 0xe7c31819, 0x4fa0be58, 0xf6d2f85c, 0x5f7b9308, 0x416daa23, 0xd2b4e5af, 0xb010b549,
+    0x9b31c07e, 0x1edf6554, 0x382775ad, 0x88e2a6c3, 0x004027d2, 0x26bb0c49, 0x48d2809a, 0x9581c845,
+    0x57dd178d, 0x40dccb3b, 0xa12ae7f8, 0xbcea99e9, 0x85dad3b4, 0x3a00db87, 0x59164322, 0x7d61404c,
+    0x8f19d719, 0x4dc347b3, 0xe20d7777, 0x35161e7d, 0x7bcb60fa, 0xe6e3b45a, 0x7fbaf940, 0xe0534475,
+    0x796353ec, 0x23a0fd22, 0x0a421278, 0x179e80b9, 0x07781585, 0xea1429c1, 0x1b91c46b, 0xd46d08a3,
+    0x01a781a5, 0x558271f3, 0x6d99f0bd, 0x50bbc2dd, 0x0e152dcb, 0x1f81f183, 0xf229571f, 0x2e57e35a,
+    0xe98d2131, 0x7a032ca9, 0xbf0bb2ca, 0x2707c857, 0xde8d45c1, 0x9a978604, 0x34dacfaf, 0xb1968775,
+    0xec93be15, 0x9f8e38fa, 0xe2c9a9b5, 0x03e9a3f7, 0x8d437ac7, 0x2a0acb51, 0xd4d6804e, 0xb62d8290,
+    0x8c39f1ad, 0xbe32f81c, 0xfce24ea1, 0xb94ed812, 0x740e1d12, 0x4373a41c, 0xd70c752d, 0xa1c7de93,
+    0x095b40dc, 0x5cb3d5e8, 0xb9ce4c7e, 0x1a6a0474, 0x7a44402c, 0x99ec553e, 0x6fe15fea, 0x8a19516b,
+    0x60f02997, 0xb3d5392b, 0x104153da, 0xfad7e66a, 0xc978c8d4, 0xd9c58a83, 0xb78f1c78, 0x69ca2c02,
+    0x87af6bdc, 0x24be11dc, 0x0292f034, 0xe864e469, 0x591c5f29, 0x99cdf3ba, 0x72850cd0, 0x4e6429a3,
+    0xb296b956, 0x375d935b, 0x22d0698e, 0x95ee5617, 0xc98971df, 0x9d138034, 0x78d0fdd9, 0x5cc748a7,
+    0xdd2afd8c, 0xc3f78e0b, 0xc446e190, 0x7756f537, 0xda6192e7, 0x4494cb37, 0x082156b6, 0xd2a3e475,
+    0xc5a002f8, 0xa976edf1, 0x4696ea1e, 0xde905baf, 0x8dfeac1e, 0x0f160678, 0xe8a20cc5, 0x9525f0a8,
+    0xba923464, 0xdcf5e4ac, 0x6e25624a, 0x647ca426, 0x560453b4, 0x84659948, 0x18ce3c1a, 0x42376783,
+    0xb1399376, 0x988a5402, 0xef03c607, 0x6bfe9586, 0x7e9413bf, 0x37157738, 0x4bb8bb56, 0x37a2a5cb,
+    0x30b97cda, 0xae0a23c7, 0x4d1c8119, 0x97b76643, 0xbf9f860d, 0x813982e8, 0x302c394d, 0x1104d837,
+    0x5637a2a1, 0x883d5bfe, 0x38a57b4f, 0x26db8769, 0x146c5b2d, 0xb8a24916, 0x33bbb3b4, 0x573852a5,
+    0x247f5042, 0x1b7f2e0b, 0xa87eb200, 0xa4b0c4ef, 0xa7a989f4, 0x0298cea2, 0x762ef269, 0xe857126b,
+    0x1a533682, 0x6b3139e0, 0xf067226f, 0xe530bef5, 0x45ecb317, 0x792e78e7, 0x70feddd9, 0x0cfc84ac,
+    0x9a515a88, 0x1aea66a8, 0x949e8f91, 0x9e67e458, 0xaa866dc0, 0xa9fe5ae4, 0x5293e808, 0x706ff93e,
+    0xb752afdb, 0x511ff934, 0x9c7cd2b9, 0xb42c16eb, 0x462f3972, 0x8987c7db, 0x0f4b098e, 0xd998b472,
+    0x417ce38d, 0x151f850c, 0x5bbf91a8, 0x248cec00, 0xd8f6cb5c, 0xc3dc1d26, 0x360a8c05, 0xf113b8de,
+    0x80ba391e, 0xc1e68684, 0xcf13c97e, 0xbaafd10b, 0xb4a21b42, 0x5f0a8ca6, 0xa2ec0751, 0x10126150,
+    0xf0a2d37d, 0x76bfdd1f, 0x95e4854e, 0xba12170c, 0x4ce43360, 0x5266b1ce, 0x75429533, 0x73b2203d,
+    0xca3c304c, 0xc9bb14d3, 0xea69063a, 0xc093234e, 0x30c587ee, 0x0fd4f775, 0x6a113f28, 0x1dac2702,
+    0xeb2059df, 0xa5d9938c, 0xd569a813, 0x73b5fe57, 0xda35d73e, 0x055f2c24, 0x7cdd0dfa, 0x69616396,
+    0x17f812a5, 0x1dbaf55b, 0x04d8a10a, 0x4b0784d6, 0xe2e7c1d5, 0x01c2d4f0, 0x09dade0d, 0xfaa30838,
+    0xdd83612a, 0xe2d1264e, 0x661ba5cc, 0x7539db21, 0x3b1068ce, 0x92228ff8, 0x35d3b788, 0xb3b8437b,
+    0x00000000,
+    0x3e747c48, 0x1fbd3baa, 0x0b3a0cca, 0x590105cf, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f,
+    0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000699920231930563815799200\
+                         71267763883691301421788582797965624659405118495974380029543152421664737722368 */
+  { 0x00000000,
+    0xf3a7463d, 0xbb376ae2, 0x58d06bc7, 0xf047204b, 0xb95a33c2, 0x75181b79, 0x923e1340, 0xac6602e1,
+    0x13544f53, 0x7f86dd59, 0xb85fc7ad, 0x479c9e4a, 0x0303bb2a, 0x0a7c8739, 0xef8d3316, 0xb859d5d6,
+    0xe0340cdc, 0x32c8952a, 0x6494a831, 0xac3234ca, 0x7176938f, 0xda9b7878, 0xc95f6915, 0x54c209fe,
+    0xd6ff245d, 0x3c8ad579, 0x0dc654b5, 0xf49e8494, 0x09603eb4, 0x5b22eba2, 0xaaacdf39, 0x1addae70,
+    0x6ef9f0d2, 0x2f833279, 0x2866138b, 0x2c3e50f6, 0xf7f25a72, 0x8178a1d3, 0xebedebd8, 0x2b8d8d8c,
+    0x7114d86a, 0xf225fe32, 0xa75b84f9, 0xbfd1214f, 0x49270fd7, 0x8cb4ece7, 0xcbe3a477, 0x6e6a8e9f,
+    0x17cf52a3, 0x8e4d8152, 0x0886f2bc, 0x5ff1fe59, 0x5d77a302, 0x0ecd91a9, 0xd1959ead, 0x130943ee,
+    0x2694c946, 0x69af0ae3, 0x6d1c011f, 0x5c386ab4, 0x9c135d9e, 0x858a0096, 0x6393db74, 0x964096df,
+    0xe417b66e, 0xf5ebd595, 0xfba8ed31, 0xbb7dd358, 0x04a79719, 0x59e73094, 0x9f2cfa82, 0x59be618d,
+    0xf932ca9c, 0xc6320f28, 0x9fa5fd4b, 0x78f86f54, 0x882973d9, 0x5f87bdab, 0x370b6003, 0x868eb5a9,
+    0x9573509a, 0xbf627e0f, 0xb784b629, 0xa89fb891, 0x396faf49, 0x894091db, 0x9736d8e8, 0xcf801fd7,
+    0xea9858d5, 0x1d47c76a, 0x78789c7d, 0x1bb95eb9, 0x376ef3c2, 0xab8fae8b, 0xac95751a, 0x735d7445,
+    0x24dbf430, 0x5fc28e32, 0x44204922, 0x1ad9a4a2, 0x645e430a, 0x9ca5ac5d, 0xd4eedcf9, 0xdb76bdbb,
+    0x80a0732a, 0x85adacd2, 0xbdc2b98e, 0x4f745f10, 0x414938d9, 0x51e47874, 0x962700e8, 0xf6eb9669,
+    0xbc908a7e, 0x9d56db61, 0xb90f3f43, 0x6d02f97c, 0x86517cd6, 0xc3707429, 0x24c46d6f, 0x44c8b275,
+    0xbec7cfcd, 0xf4c08e65, 0x6d4e9e31, 0xef2f28e7, 0x6c7fbf31, 0x19798cb7, 0xeb30398b, 0x63436a79,
+    0x40a7b0ac, 0x37e61d49, 0xfb7d6a6f, 0xf552ceb3, 0xdff6fed2, 0xbc083370, 0x2697fcfd, 0xcef647d8,
+    0x124a589f, 0xbca73165, 0xae2af143, 0xb84da963, 0xf02e6152, 0x9bf29ddb, 0x66f94e72, 0x8d4778bf,
+    0xae59cbee, 0x88064f00, 0x5eb6c86d, 0xbb681b68, 0xc8237fed, 0xef2132db, 0x4dd7376d, 0x4ef097bb,
+    0x2747f9f2, 0x3fb5343f, 0x270b7830, 0xa76acddd, 0x7a417fae, 0x4271d820, 0x31c3628d, 0x64485a1f,
+    0x36f3acb1, 0x388f1f37, 0x43d3928d, 0x15d3b034, 0xce967a09, 0x0ee35878, 0xa14c36ec, 0x9e760b9f,
+    0xa2a954b4, 0x2b2ca220, 0x69207fbe, 0xa85aa485, 0x579baddd, 0xbba991d1, 0x2926385b, 0xae66debf,
+    0xbb5b2844, 0xbb42a60c, 0x5599e8bd, 0xddba13f9, 0x9d23e716, 0x7852b57e, 0x0b5a2df2, 0xbdcbd288,
+    0x16cc863d, 0xd768b2e5, 0x41325963, 0xe48bf67a, 0x4fb9eea5, 0xa270704d, 0xf1affb3d, 0xfd86bc0c,
+    0xbca8002d, 0xf394be72, 0x832a49f2, 0xa37f39f7, 0xbdf8ff88, 0x92503f54, 0x7a9b0de9, 0x0c65fa05,
+    0x0b264897, 0x43d42cb6, 0xed6c8f74, 0xfb8f2074, 0x3d1584f3, 0x6b52df1e, 0xc23049d7, 0x16d43994,
+    0xf81c000f, 0x49d83ba2, 0x9407fbb3, 0x6e13adfa, 0x700acdf4, 0xa8b43154, 0x39af07f0, 0x2e235d5d,
+    0x1af67106, 0xfcb72d43, 0x524ed0fe, 0x33d8a935, 0x11ecf75f, 0xa30453e5, 0x05250929, 0xd5ca739f,
+    0xceeb6d39, 0x8fc9fa56, 0x6e0cf434, 0x18fec2ec, 0x1376148c, 0xd9612e64, 0xe4e2f565, 0x4ccd9ff1,
+    0xb4ec07e6, 0x5b624a1a, 0xcaff4dc9, 0x22ab682d, 0x1852c56a, 0x9463bb66, 0x9bfd561c, 0xf2a95abd,
+    0x1f07c582, 0x51d59c0a, 0x4edb9654, 0x80a4b2de, 0x3a9ac359, 0xd674a39e, 0xe8b72f6a, 0x2415f4ef,
+    0x1c325c77, 0xdcdb05ff, 0xaab22298, 0x5f3ea20c, 0x6515a84f, 0x7aa2692e, 0xfe34dae8, 0x039c7be9,
+    0x74268fc4, 0xe0a4250d, 0xb85894b5, 0x49c600a6, 0xda8c4ffc, 0xcf6c3ea0, 0x1e86337c, 0x2633eb3e,
+    0x99132bed, 0x5c3218c3, 0x44e1d0a2, 0x4c43126a, 0x5996d947, 0xa25769cc, 0xcd6c27e3, 0x9a3522a3,
+    0xee0da598, 0xfa92d5c7, 0x38ab8515, 0x60192e69, 0x45da9d0f, 0xffcd773e, 0x840bb7da, 0x7c5423a2,
+    0x16563718, 0xa49441f5, 0x7201e5ad, 0xd8c55aac, 0x2e7d6b76, 0x92192f48, 0xaa3ce673, 0x7056b337,
+    0xf443d701, 0xc7ced332, 0x84ba1b62, 0xce5ac7ef, 0x419a2d24, 0xb7af8ff1, 0x2615d46c, 0x381f0e01,
+    0x2cde31d4, 0x0743095c, 0xa24a48ac, 0x6962bada, 0x5998e520, 0xe9f9fa54, 0x2f6b07e9, 0xc9a6dcbf,
+    0x6d47bd45, 0x31a6caf4, 0x61d86f93, 0xf7da7ef5, 0xd2e1b064, 0x1ba5c539, 0x47d48a2c, 0x60aad9df,
+    0xd0af1caa, 0x0ca48d55, 0xfb1f86ea, 0x520cd7bb, 0x2f6a17f8, 0x03a783ee, 0x72e66eff, 0xf7bb200c,
+    0x5c6f75d6, 0xcb6b015e, 0xaeff0b19, 0xc2652c7b, 0x0671a4d7, 0xe4d5e6c0, 0xd6e970a2, 0x79cc3326,
+    0x6bc1796e, 0x76ecef73, 0x69980294, 0x53346777, 0x956c7729, 0xbbf4cf38, 0x0b60ab70, 0xe273bd5d,
+    0x51b933ef, 0x56bc5439, 0x67cf77d8, 0x45e7269f, 0x1e6a3adf, 0x15cefd61, 0x0b665af4, 0x99733fd2,
+    0x4cf21ffe, 0x513bea88, 0xa7722fc2, 0xd9936b0a, 0x38238270, 0x4d9191a2, 0xee6b4872, 0xe0b3dab0,
+    0xeb0c75d0, 0x6af3ecbd, 0x2c743b99, 0xa85115a4, 0xc3d6caa1, 0x50c84092, 0xa5897854, 0x5c3ae4af,
+    0xb164ff9f, 0x9050cb79, 0xb6b9e901, 0x3c3b6db5, 0x959e1251, 0x91123642, 0xddae8246, 0xd8a7d898,
+    0x33a8ee87, 0x1a7942e9, 0xcd9192a2, 0x83253c11, 0x53a8b31e, 0x4f663e06, 0x8f9522a1, 0x98c28d83,
+    0xa15c7fad, 0xc995e3d7, 0x76a26333, 0x8a55597d, 0xd0f92925, 0x57e6638b, 0x0ce4ce4a, 0x580edeb5,
+    0x40c126b8, 0x50a2b249, 0x3159d41d, 0xc16280cc, 0x11588935, 0xb5b3cde3, 0xb0dc10de, 0x4dccfe75,
+    0x6a14765a, 0x926eaeaf, 0xb5d4a07c, 0x6be80d9f, 0x18de8e6b, 0x080103f0, 0x50f325e8, 0x3efc6cfc,
+    0xfeb5516f, 0xf63ed88d, 0x352d8c23, 0xd4cf1fb0, 0x2ca20a36, 0x50d5a2a3, 0xf7e92bd9, 0xe5940c4a,
+    0xa3794bd1, 0x0d4caf16, 0x6c4e7693, 0x6f5304cf, 0xedac807a, 0x0ce69648, 0x4b708fe1, 0x07fa9afc,
+    0x64684c95, 0x1cd1d3cc, 0xcb926808, 0xf71a7521, 0xaacbd892, 0x169e87c4, 0x866c43d6, 0xf7fd1aaf,
+    0xc347b1e5, 0x04f18b8a, 0x4d3f49de, 0x05c6053b, 0x02327cf8, 0xdd55ce4e, 0xbdc95a9e, 0xcd08b335,
+    0xb54c48a0, 0x1859ffc7, 0xed6478ab, 0xabec481d, 0x3f2b7753, 0x7a18a79d, 0xa2520dfa, 0x2b96f3db,
+    0x22920b86, 0x9eb64179, 0xdda70dd0, 0x3d23e021, 0xcd34a7c4, 0x35201e3c, 0xc6dfae57, 0x5058e250,
+    0x8ba83cf3, 0xa064edb2, 0x809cedee, 0x01493f20, 0xd41c5336, 0xf3a53c36, 0x1e760c4f, 0x46d345bf,
+    0xf1cc5c2e, 0x621df753, 0x4329ac1e, 0x7a0e4f8b, 0xf67ad374, 0xd2d46c66, 0x399e52f4, 0xc636d6e4,
+    0x3d360f6b, 0xa8e31658, 0xb33d43ea, 0x45df8b4e, 0x0ab51c86, 0x937f1838, 0x5aaebd30, 0x824977ee,
+    0x97d740d5, 0x0e42e86d, 0x0b615a81, 0xfd0c754a, 0xd8bd4366, 0x33bac433, 0xc7c4f550, 0x654910b2,
+    0xd11fc79e, 0xa01535e9, 0x8655288f, 0x46a26147, 0xeaff828e, 0xa302b25d, 0x02a9c5fe, 0xb9a10d1a,
+    0x208460c6, 0x3e1a2453, 0xdd789182, 0xb55b6e95, 0x00a873ac, 0x98bdc69e, 0xdf62391a, 0xb06aaaed,
+    0xac62d1ac, 0xc94026ff, 0xc12c865c, 0xf560cd45, 0x20fea1c1, 0x2ac2f1c9, 0xd9516c98, 0x7098ec1d,
+    0x38fc3f10, 0xfaf185d8, 0x95d5b9b1, 0x1c43f4b5, 0xdd2069d0, 0xa0abbb59, 0xe290a351, 0x30818e71,
+    0xc12dea5b, 0x3b2b1b56, 0x7734d0f5, 0x46f9a62e, 0x4d720cd1, 0xc225afc4, 0x94642329, 0x0731b5d5,
+    0x54ca7f2f, 0xc3586b00, 0x1b2a8f80, 0xbcbcf8aa, 0x40c26057, 0x26ac48de, 0x86b57e62, 0x108cfe93,
+    0x745fb52c, 0x25294001, 0xea01cc24, 0x1aa2898d, 0x52702aee, 0xff078768, 0xdcb1de8f, 0xc63167d4,
+    0x272155e3, 0x49d5bd66, 0x3976e9da, 0xd496db23, 0xb0c68b6e, 0x16ee0860, 0x7ae70345, 0x249f9d3f,
+    0x0d495630, 0x02096fef, 0x3a2242e2, 0x43a96bed, 0x475bbc63, 0xfba981e1, 0xf0742998, 0x8522069e,
+    0x40d4b7a3, 0x3e875c54, 0xe87f34d5, 0x9f4bb8a6, 0x54071237, 0x6bad0fe8, 0xf8e2703b, 0x110a9da8,
+    0xc1e73368, 0x833f98e0, 0xcca1d238, 0xb3154cc6, 0x82979aa0, 0x22afcbbf, 0x24efb992, 0x76082323,
+    0x5dd4ddbc, 0x8950b6d4, 0x6e573232, 0x5b221616, 0xd6e3deda, 0x0afd96fd, 0x1586d1df, 0xae351036,
+    0x4d598572, 0xa1d75a61, 0x9576bb9f, 0x800cb91b, 0x739c653a, 0xae198221, 0x123156d4, 0x3dcb96e4,
+    0x3f14ed40, 0xd718bfb2, 0xfa9850bd, 0x3f302474, 0xc14e434f, 0xc318e5be, 0xde36791f, 0x7bcb23df,
+    0x6b165302, 0xe6890c7f, 0x5b46605a, 0xd5890f15, 0x852d0ba0, 0xa18e2112, 0x913b31f3, 0x7c1b2968,
+    0x5a755d00, 0x33e263cb, 0x9fed05a2, 0xb78f53e3, 0xe9b2ed98, 0xe5e9bf0e, 0x1ff34023, 0x5b327014,
+    0x00cc2144, 0x3b2a779f, 0x03f4e600, 0x505dd102, 0x219bc571, 0xe0667bb7, 0x2645af92, 0x6a7ce86b,
+    0xa284ed01, 0x8744a41a, 0xb2051152, 0xf2477530, 0x6bad115e, 0xf29b5c3e, 0x062c63f1, 0x9b5ffd71,
+    0x3f68a010, 0x0f8f9fd7, 0x198d1117, 0x314844bb, 0xd6e59cb9, 0xa0a1584e, 0x9e1c3c14, 0x5639424b,
+    0x30e55fff, 0x0749595b, 0xc780621f, 0x15c34541, 0xa89c133b, 0x96971a70, 0x3ade3689, 0xbd4167b4,
+    0x195c6277, 0x4aedb829, 0xe18b7510, 0x90ef8bc8, 0x94260220, 0xb605523d, 0xed04d7da, 0xeea71326,
+    0xab760290, 0xccd71d29, 0x4e65538a, 0xdc9c9fd6, 0x16c0e18a, 0x32a5fe22, 0x6714e5e2, 0x9aa287a4,
+    0x55eef75a, 0x20aa26e9, 0x7caf3852, 0xf7893881, 0x70ca3d8c, 0xbf902416, 0x0926849e, 0xd3f13377,
+    0x3bed96fe, 0x3dd3eb41, 0x2f63d3ef, 0xf39b8b52, 0xd7cc3013, 0xc212fa55, 0xdae61ae2, 0xd91a1d22,
+    0xe4972279, 0x28055a15, 0x18f05a0a, 0xf99b6500, 0xfb4220be, 0xdf29d0bf, 0xfd1fbc11, 0xd1c5b23e,
+    0x927f7283, 0x3dbe2fa0, 0x8757de15, 0xe52a38cb, 0x913a8128, 0x9507e66b, 0x4b30ffc3, 0x62c2b964,
+    0x431392b7, 0x6fe90fad, 0x0d9a1707, 0x6296aa6d, 0x4fd991e1, 0x1cfee02a, 0x02ffcbf2, 0x5bc81577,
+    0x6eacd209, 0x2eba63d1, 0xe7893bff, 0x75039c97, 0xda97c619, 0xf7ce6e1b, 0xd15786f0, 0x1dfe1713,
+    0x63d41e2c, 0xce9ab276, 0x72d87e5a, 0x9ed451b3, 0x49db366d, 0xfb077a87, 0xad243889, 0xdc2cbecb,
+    0xb68ed410, 0x80792265, 0xd804b15d, 0x99c10823, 0x1f4b4d6a, 0x834b25a6, 0x70015aab, 0xa85de11e,
+    0x040c326d, 0x66802eaa, 0xad316938, 0x2b8e65cb, 0xa8f24929, 0xabd63a60, 0xc7380bcc, 0xedfa5a0c,
+    0xa23e67c5, 0x7cd6788c, 0x1b1eb7dc, 0x2bfab633, 0x2d28d2c7, 0xd39f2eec, 0xa623b14f, 0xacad8bc3,
+    0x10c1c1ba, 0xdc7da156, 0xea5d918d, 0x2f46ba8d, 0x57b08567, 0x55389ddd, 0x71aae302, 0xa13bfe4b,
+    0xc6013c96, 0x0630aae6, 0xc0870501, 0xc759e75e, 0x75f037b2, 0xb3664f44, 0xea51dde1, 0xc982de48,
+    0x46031f6b, 0xee86c29d, 0x0fde8aed, 0x6d5a1712, 0xe495a14d, 0x49d88d75, 0xdff5a9de, 0x154f89e9,
+    0xbab6cb71, 0x955f8564, 0xa8c80ff2, 0x281843e8, 0x9c913bbd, 0x3cc3d3e9, 0x2f074b34, 0x6dcfc1da,
+    0x5d57dc0d, 0xdc842d83, 0x378be667, 0xa9370e3f, 0xc38debc0, 0xd144dc9b, 0x1403fa7a, 0x6daad860,
+    0xcf13cd74, 0xe094f4bf, 0xd32d2ec3, 0xbbd1c1aa, 0xa852e20f, 0x6caa4b6b, 0x4f6fdad4, 0x2e60061d,
+    0x82671fff, 0x6d0416cd, 0x74cec9a3, 0x6f518e7b, 0xea24d65a, 0x84e71e06, 0xe82746b2, 0xc27f56ea,
+    0xe34370a7, 0x44af05c8, 0x8397d79f, 0xb184fe56, 0xdc281519, 0xf7c7f856, 0x73ef4e49, 0xaa30afa5,
+    0xfd83555d, 0x72041677, 0x0f21f81a, 0x8980878a, 0x1757d243, 0x69457e93, 0x1a4c1469, 0x7d255de0,
+    0x26586458, 0x070eb73b, 0xc9a01250, 0x8db51917, 0x6bc9c582, 0x5b8d744b, 0x69508f5c, 0x2188bf34,
+    0xa1f34d6d, 0xeec26eb2, 0xc657ac11, 0x20389b83, 0x536b854a, 0xa0814732, 0xb329aaca, 0x5c12f671,
+    0x5dd9b3f5, 0x8838a6d5, 0xa489468c, 0x17a7e005, 0x14b9460e, 0x505567c4, 0x1e048811, 0x4e922833,
+    0x6ec0e290, 0x04e075bd, 0x24049b48, 0xc0843958, 0xc7c0e56c, 0x8c2210c2, 0xccedfa09, 0x053b5a80,
+    0xd009830f, 0x8ff64627, 0x23495f72, 0x91913e5b, 0xee684200, 0xd4cf3c69, 0x051e0a0d, 0x1246d0fe,
+    0x96203e05, 0xeb6c5a62, 0x69710932, 0xb3599ab7, 0x2f6184bf, 0x304b3070, 0xaf4516a1, 0x251af1d7,
+    0xa3a80aee, 0x7fa52880, 0xaad75d00, 0xd10dfb80, 0x06c4b44f, 0xd8214edc, 0x9f0f4a40, 0x0c013df5,
+    0xe0e4ccc5, 0x2fbed3e7, 0xa179345d, 0x5de23826, 0x212fc1f6, 0xfd95c2ad, 0x78627958, 0x2ffbc102,
+    0x26563e11, 0xf066b197, 0x403903f3, 0x550a3e83, 0x446e0b8b, 0xa9c8c915, 0x45962294, 0xeb9d1d96,
+    0x3dc319ee, 0xa524dcca, 0xd9d2d786, 0xff97d70e, 0x84eb73c1, 0xb167d5b2, 0x5df6cd36, 0x335915e5,
+    0x9a465851, 0xdb764de0, 0x035aa79a, 0x6bd57e5f, 0xa024734d, 0xf0636f45, 0xa4c603e5, 0x59c1bea5,
+    0xffb1907a, 0x2e62d306, 0xc058f1c8, 0xaa9720ad, 0x6aba801b, 0x9955deba, 0x6b0ff89b, 0xbaca589e,
+    0xa8e65af9, 0x065343be, 0xd0455d9d, 0x44b83d6b, 0xb4aea4b4, 0x77b6658e, 0xe669a12a, 0x4cbcabb4,
+    0x3cf197bc, 0x37b71f30, 0xff415cd3, 0x9e27fef0, 0x086d34b5, 0x0bbccb0c, 0x15b5e481, 0x67c5f328,
+    0xd4cca4fc, 0x8e11da6c, 0xcd9854c2, 0x2bf72f22, 0x03ce7757, 0x4bdd74eb, 0x3aa88678, 0xdd35f992,
+    0xd3337421, 0xcb625000, 0x81f692b5, 0xb6713183, 0xad37a1a5, 0x0881fcfa, 0x88255b64, 0xdb5c286d,
+    0x4ff6e85b, 0xeefd98db, 0x5ebd81bc, 0xa0f104e0, 0xa391f4cd, 0x711838a7, 0x3b8e912c, 0x54259c6f,
+    0x5f39df4f, 0xfd854f85, 0xf28a6dda, 0x56a69777, 0xb7acfc8d, 0x5256a50f, 0x6a6b738f, 0xa008307a,
+    0xa04af7c7, 0x5e86102e, 0x2e12f0bb, 0xb63375f7, 0x6cad0089, 0x3bf50c66, 0x32b02463, 0xed9244c2,
+    0x20685cbb, 0x83451be8, 0xc1d8fd8f, 0xf8410570, 0x24daffff, 0xdb5ec41a, 0x4c773a08, 0xe6eee852,
+    0xe08c9a4f, 0x5a88f754, 0xb781c8ff, 0x0912adc1, 0xf737d9a0, 0xf10b153c, 0xdb02dc47, 0x9e7762ce,
+    0x833f15a6, 0xacf5e73b, 0x1e4cdce9, 0xd4d96c7b, 0x9a7c8211, 0x0e91e732, 0xe5448f4b, 0x662b9080,
+    0xc12dc491, 0x2e08cc8c, 0xa0e598f3, 0x4a03c874, 0x58f66383, 0x01292b11, 0xeb374dd3, 0x01bc80ca,
+    0x50928aa4, 0xefa57b8b, 0xab96bd14, 0x9000a7a4, 0x2fa7cdd7, 0x046af9ef, 0x83e6566c, 0x8e6602cf,
+    0x6b525c8d, 0x9dc3bbc4, 0x08b1663a, 0x43bb0cbb, 0x2d24b8b3, 0x6c6773f3, 0x8524ddd0, 0xd67ed08b,
+    0x00000000,
+    0x1f3a3e23, 0x0fde9dd5, 0x859d0665, 0xac8082e7, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf,
+    0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000349960115965281907899600\
+                         35633881941845650710894291398982812329702559247987190014771576210832368861184 */
+  { 0x00000000,
+    0xf9e5a811, 0x20fd2d4b, 0x43a21b9c, 0x2df4d991, 0x6fe04b06, 0x56fcca9f, 0x408c9cc3, 0x3dd6df71,
+    0xcc3f21d8, 0x1b2f0e8e, 0x9de0d79b, 0x511b26b6, 0x76605852, 0x66d6ff42, 0xab01cb7b, 0xa1ae6b2a,
+    0xb23bbc9a, 0x33987e35, 0x9fb7deab, 0x62a41031, 0x45d060db, 0xf260a961, 0x1e1b6a80, 0xa1431e4d,
+    0x564677c5, 0x5d613bb3, 0xb97d7b02, 0xb0d62c6c, 0x842d4303, 0xe0beeb9b, 0xfcfb025e, 0xa5a6b932,
+    0xc848113a, 0x15edb9ad, 0x9821cd0d, 0x4a35721f, 0xfc9331ad, 0xa388b371, 0x73587ac4, 0xf05dc95b,
+    0xebcc8d51, 0x1ec4c4be, 0xbe298488, 0xc9508f07, 0x613132d5, 0x06b8c973, 0x41fd23e7, 0x6d6a7d67,
+    0x65844a5e, 0xf54fbc9d, 0xd2ee7178, 0x2e9db59b, 0x3424136e, 0x6809282e, 0x555b1967, 0x4390a3a9,
+    0x57eacb7f, 0xbdb5c32d, 0xfa6a47a4, 0xf0049244, 0x1c224a03, 0x144e27a3, 0x2129c513, 0x1bd48b5d,
+    0x0273d9f2, 0x26272464, 0xa1fa6bc1, 0xb7cb2e64, 0xf138b9a7, 0x5e996059, 0x0e3494a3, 0x723aa67d,
+    0x6c3bef85, 0x576d7de5, 0x741a066e, 0x115a4c45, 0x954106e3, 0x6256cb0e, 0x052ecaed, 0x1044d278,
+    0x0e1625cc, 0x9750c6f4, 0x8f461271, 0xf4181a80, 0x1da40fd1, 0x410373f4, 0x02e61045, 0x14e4bb5a,
+    0xe6cd41e9, 0x22cb0cf2, 0x8843b0be, 0x9aea61ad, 0x880e18b1, 0x813aabfb, 0x5d591311, 0x092e681d,
+    0x38fe36fb, 0x548db2fa, 0x2ce7c9d2, 0xdafc3a77, 0x263f4f04, 0xa3a7acf5, 0x7e668532, 0xfa94e467,
+    0xf8973f02, 0x457dea69, 0x7e161e29, 0x91675790, 0x5638f7cd, 0xecd28508, 0x6550d003, 0x2add5012,
+    0x84c16c0b, 0xac2d470d, 0xab1ac7bb, 0x1c0c2f0f, 0xfd4792c5, 0x33a3b0ed, 0xf4493a59, 0xc4f6193c,
+    0x4628ea2e, 0x2eb4fb71, 0x0a60ed15, 0xdeb011e5, 0x43fa5d00, 0x6e3f291e, 0xe4eb356a, 0x5fedc946,
+    0xee796748, 0x8045c61b, 0xd40f3e93, 0xe77a4ce3, 0x2f6ec118, 0x8549f397, 0x950130d4, 0x2f58c671,
+    0x1e819a92, 0x11bf02fa, 0x278820fc, 0xa4837557, 0x4bd331b9, 0xb0ad6321, 0xc152a128, 0x3385bd2c,
+    0x2acd339b, 0x9b566c5f, 0xc1f90998, 0x878272a4, 0x9f6f0f8f, 0x9c000cf1, 0x7e284c04, 0x173216a4,
+    0x0a4701a8, 0x1d05bbe3, 0x1e836239, 0xb3a04e80, 0x9c100877, 0xebf59228, 0xd3b74a94, 0x7f0590f3,
+    0x5e6158f9, 0xa3b15920, 0x7e2111f7, 0x4f447d1e, 0x4efa476c, 0x23978b79, 0xd71561df, 0xeba71bcb,
+    0x2342beda, 0xb4345e62, 0xfc28cfe9, 0x6f33b2ef, 0x18ef10a7, 0xddc69d97, 0x09e58540, 0xd64f61be,
+    0xd34a0c25, 0x6d4c9a4d, 0x8ed0a448, 0x073b1b95, 0xf0c9f44f, 0xc73b397b, 0xea78e52c, 0xbe48373d,
+    0x8693183f, 0xb2761fa2, 0x98798364, 0x13fc9729, 0x12b3a2c7, 0x595f13a8, 0xfe7b51a7, 0xf6353997,
+    0xc1485712, 0x1f80e4f7, 0xb626f691, 0x5ee2aeb9, 0x7fc7bca9, 0x3f4ae5c1, 0x7ffc0401, 0x0bd7e034,
+    0xe9377ac8, 0x5de438c9, 0x017d699f, 0x4cf1adda, 0xbcb17691, 0x2831d509, 0xdf961d35, 0x9c69869e,
+    0xf7d4b3a7, 0xace395c3, 0x22d4fc65, 0xf441d78a, 0x6fa40a34, 0xb283f401, 0xb59ba832, 0x8a55b267,
+    0x322226b4, 0x015146c3, 0x934b0c1a, 0x2735b689, 0x5c2023da, 0x8b48edef, 0x4df052ff, 0x5b82f00f,
+    0x19f6905c, 0x864297cc, 0x7968055b, 0x3a521921, 0xbeca2162, 0xb1477bc0, 0x45206eed, 0xac72bb60,
+    0x9b3deaa9, 0x8544108c, 0x74751d73, 0xc61520e2, 0xb95c3410, 0x47e0c531, 0x990a36c4, 0xb19c1f7e,
+    0x17bc0440, 0x96c7424b, 0x044d23a8, 0x5aea20e3, 0xdf414845, 0x40ee773f, 0x8d667239, 0x47f2a946,
+    0x45334f52, 0x8c468d63, 0x614a8c17, 0x49c02770, 0x3270f6c3, 0x13b36bf8, 0x69065471, 0x9e717eed,
+    0x49452592, 0xb3985e56, 0x111ee341, 0x62286ea3, 0xfedcf3b2, 0x67bebdc9, 0x3ed84a7c, 0x3d617271,
+    0x2cd473f4, 0x3334ca18, 0xa28585b7, 0xca41384b, 0xe75711e9, 0xf0501861, 0x051ba3b7, 0x2f3d2fbb,
+    0x87ef5b5f, 0x3c932963, 0x73fe0437, 0x3fc29a9f, 0xe6c97b2c, 0x3358d073, 0xd2e4d987, 0xd82a3092,
+    0x26a86d74, 0x26520250, 0xed11d36b, 0xe08390ed, 0x1143b863, 0xabb1d9ab, 0x5041f0f8, 0xb13ac903,
+    0x4961be46, 0x3f36e3e2, 0xca4c2d9e, 0x82f6ad04, 0xd315484a, 0x8d1b750b, 0xc35cee8e, 0x4a9a8eb0,
+    0x68a51bc4, 0x29cd8d47, 0x2ec51f94, 0x11b92760, 0x5c666ef5, 0x3b6c313d, 0xc7413b5d, 0x27e50e21,
+    0x6e3c7558, 0x39eae8a4, 0xa6c53c62, 0x8cc7b9dc, 0x4c94aca2, 0x0506ce7f, 0xb28832c3, 0x56db86d8,
+    0x28517917, 0x1d67127b, 0xac57d185, 0xfeeb267b, 0x59c783b7, 0xb9de0f10, 0xa872c6a4, 0xd918c8a7,
+    0x9e803c27, 0x89194635, 0xf02720bd, 0x8c6ff678, 0x18bed060, 0x64bb6bb3, 0x786fa491, 0x417a2d9c,
+    0x783cc911, 0x2e5312e5, 0x2baf4783, 0xc168c690, 0xfabc9f37, 0xf748cb7a, 0x895007f5, 0xaa20db57,
+    0x0977413f, 0xdee922d0, 0x37364cad, 0xdd7e82ef, 0xf5d45107, 0x99d38581, 0x5fbd4e40, 0x7fd64bdb,
+    0x574ddf2e, 0x1bacd116, 0x21af892f, 0x82ce57a6, 0x2bd28198, 0xd9bbaa4d, 0x26591ca6, 0xb980c56d,
+    0x3f07ab30, 0x586210de, 0x5b466702, 0x4045d2b3, 0x3c734772, 0x3fb84370, 0x1a294978, 0x1b3bec03,
+    0x89e98b54, 0x8de65cca, 0xcc2a62ce, 0xa414cdbf, 0x1d2d0255, 0xf0a79095, 0x63e67715, 0x6e192ff3,
+    0xfa4b5230, 0x7e9b40f5, 0x4ebe96f9, 0x2f32b074, 0x40edd55b, 0xe1baf7e9, 0x9b26d7dc, 0x5d7f1834,
+    0x681c8d64, 0xf632e1b0, 0x49a7194e, 0x88a113aa, 0x90899d31, 0xa5b26efe, 0xfe9a42d3, 0xe21a42aa,
+    0x5f9fed96, 0x7a5f1afa, 0x035e660b, 0x624d1a14, 0x9cb19fa2, 0x4cbe1947, 0x492a904f, 0xb664b880,
+    0xed82c461, 0x77bb7004, 0xcb117a24, 0x581e02fd, 0xa7197a6a, 0x0be746ac, 0x01bba9b7, 0x8c658da1,
+    0x99214ce6, 0x522150b8, 0xb7693481, 0xe213e68f, 0x327abd8f, 0x4b17bdd4, 0x453ad9b1, 0x62dd55ed,
+    0x5da1bbbb, 0xb1742a0a, 0x045f8ff2, 0xb718259b, 0x92b286e8, 0x36eed743, 0xb11f3b70, 0x572b355c,
+    0x5a692179, 0x1d5820de, 0x6c08f88a, 0xe17e5e2f, 0x60adf4d1, 0xb6ad6beb, 0x90a3ddda, 0x55056380,
+    0x346c492a, 0xfe4ad61a, 0x99d355ba, 0xa822b6dc, 0xd6ce4ce3, 0x6a32a92f, 0xf10a2798, 0xcf88721e,
+    0x5e25a3ca, 0x3777475b, 0x7d44ec18, 0xa0d43999, 0x2fa62474, 0x91b08c4b, 0xdf583841, 0x95e79066,
+    0x1c7fad01, 0x46dc3a08, 0x10429f2e, 0xeaba340e, 0xfd84d522, 0xf088f1f1, 0x94fb8617, 0x1f737957,
+    0x601b6334, 0x76c84474, 0x9b584146, 0x5d13d13f, 0x93e4bfe5, 0xac1487f2, 0xf7aa5d04, 0xf20eb725,
+    0x9e5420fc, 0x8cf1aefb, 0xcdc9504a, 0x1d99c635, 0x9e824e9e, 0x71cc2135, 0xe435f7dc, 0x3712b1be,
+    0x53556f31, 0x57000caf, 0xce969c8f, 0x742f77b9, 0x9a966081, 0x7ea2bc7e, 0xe9cd9263, 0x22c354be,
+    0x228e8be6, 0x0323ebc5, 0x04dc519a, 0x762cb941, 0x1a407137, 0x9b26121a, 0x52988c0b, 0x3d63f0b4,
+    0xc17bd362, 0x193e5167, 0x05b2da10, 0x24f01edd, 0x3044518c, 0x41d300f0, 0x1bebe05a, 0x07308cd7,
+    0x1752b45d, 0x1bb1e143, 0x7c11b347, 0x3cf30274, 0x4778cd6d, 0xaaa31983, 0x0fe220bf, 0x7420a032,
+    0x6ca13839, 0x16558e52, 0xdae0c283, 0xb37eb0ad, 0xa877f956, 0x295b0111, 0xf4465033, 0xbf563e11,
+    0x5ca94a98, 0x5a3dbfa0, 0x253a25e8, 0xe93bfde9, 0xb3b11856, 0xb4878736, 0x2a691184, 0x3f891e20,
+    0x53b54000, 0xbba4140e, 0x95ba6820, 0x5e952276, 0x8ef0e659, 0xe93a2aef, 0x19c8e4d8, 0x51538002,
+    0x9c292e6d, 0xe37445f1, 0x95277dbe, 0x8fa8866f, 0xba146407, 0x2b59cda9, 0x7d521b10, 0xf52f7023,
+    0xa8ce782e, 0xface7d54, 0xcdf83cb6, 0x61a74fc8, 0x612b5a5a, 0xf79bd77f, 0x6e30885a, 0x73a05d93,
+    0x11b034a7, 0xe8f87e06, 0xf4a634b7, 0x7ece28a8, 0x63dc8dd5, 0x45a65009, 0x3cd971b3, 0x92fcd6bd,
+    0x61db5535, 0xe658e685, 0xf59012bf, 0xdd197222, 0x82315226, 0xbb7c30b2, 0x67719526, 0x3c42042f,
+    0xeb96f425, 0x34b45f45, 0xd2ed24cc, 0xcc306207, 0x91a48480, 0xc6c2eb9c, 0x02f18bcd, 0x138eeae0,
+    0xd5227088, 0x29e9280f, 0x6f43ce4c, 0x7c4d1287, 0xa30353c0, 0xb01ea7fe, 0xb036f770, 0x20cfe6f6,
+    0x027c1981, 0x3c9b7857, 0x93d7ac9a, 0x998b095d, 0xbc8dfcf0, 0x59077371, 0x3ced7332, 0x0a81239c,
+    0xd48637cd, 0x591feab5, 0xdd2fde66, 0xb7d8998d, 0xe699798f, 0xaa1252cd, 0xd0108ebd, 0x8717df3a,
+    0x198cd5ad, 0x07bacfb8, 0x54bb0754, 0xc18729d6, 0xda87a996, 0xf9600744, 0xfd3378b1, 0x726e9bfc,
+    0x8997997b, 0x6cb27a7f, 0x1f0cab0a, 0x9f2487ef, 0x1b6d985e, 0xe614288c, 0x0081e82a, 0x120b8204,
+    0x30665847, 0x49739a52, 0x89f7323a, 0xbe13febd, 0x1ca6fcb9, 0x8bd9c23e, 0x310024fc, 0x74954045,
+    0x62d6aad9, 0xebb5ad46, 0x3030134d, 0x7b6e00d3, 0x9525db5c, 0x2e5d7e68, 0xd0d6d5e7, 0x7d96c21f,
+    0x82ffd52e, 0x8500fe6a, 0xf01a8fb0, 0x9d8ee7a8, 0x366ad1b3, 0xb1f6b7d1, 0x730ab657, 0x0988b44e,
+    0x3d24cf66, 0xd4d8e918, 0xba71eefa, 0x9d1df694, 0xfe03dc3c, 0xfaeafbe9, 0x76bc197a, 0x61ebb511,
+    0x604223f9, 0x2d9fa15c, 0x3c669d8c, 0xede056e9, 0x382c4d0a, 0xc06a1a80, 0xbcbcb08a, 0x79108fc7,
+    0xfd41c22c, 0x1267c128, 0xedb350f1, 0x0e3142de, 0x6c4956c0, 0x3c5ccd08, 0xa7b61401, 0x54a7797e,
+    0xbbfc62cf, 0x51fdaf28, 0xd5b779e9, 0xb245764f, 0xe5ccf801, 0x0e823170, 0xb57dcc61, 0xbe6dbd04,
+    0x5c4fa1fe, 0xbec18f5c, 0xbf98892b, 0xdf6cb1e0, 0x0f97ea65, 0xf77f7f14, 0x67d1b329, 0x0f9c9797,
+    0xe7fe5908, 0xb961a31f, 0x5129fc9b, 0x206103e3, 0x7a3cb59c, 0x8ae551a6, 0x9329d751, 0x3e779d1b,
+    0xd2ca6549, 0xfe374869, 0x6d92a826, 0x4bd45c25, 0x4b89b7e6, 0x1d747421, 0x2fe41005, 0x588ff078,
+    0xd9d85829, 0x24b390f5, 0x745ef208, 0xe54d1b28, 0x0ed43af5, 0x85044b33, 0x4d2df4aa, 0x68dfc78a,
+    0x0ca72d46, 0x6b9f7705, 0xe79bb34d, 0xf1f712d7, 0x20d03548, 0xa8b8d096, 0xe1d11419, 0xe2b65f8f,
+    0xc5134762, 0x0e776054, 0x446d9ee3, 0xb48a10d4, 0x97273cb0, 0x6229d15f, 0xcc51a680, 0xe643ce1e,
+    0xcf76ffea, 0x0f4352b7, 0x8ab669bb, 0xe549bff7, 0x8d283be4, 0xaeb8a555, 0xa3c56c2e, 0xc5cf99f6,
+    0x87347c18, 0xf217e71c, 0x7ec0d995, 0x442192d4, 0x06f20527, 0x90f324bb, 0x8abf8524, 0x17c3d8c2,
+    0xdf9a5e5b, 0x574c3dd9, 0xa00ec847, 0xf75f18a1, 0x84c92679, 0x66c99f02, 0x3cdcdac4, 0x5ada6e20,
+    0xceef59de, 0x7f12e65a, 0xc899a768, 0x117ec619, 0x186f1e9f, 0x23fe9ab1, 0x73a87f41, 0x993057eb,
+    0x4389b1c9, 0x4b8d028c, 0x9566acf9, 0xc8b44f32, 0x8dfdbed3, 0xe46ac2e0, 0x58168fc2, 0x751e062c,
+    0xd0ae4f20, 0xa6a81a02, 0x15bb7bf2, 0xf54dbc53, 0xe41e2784, 0xa77dd44e, 0xd82d574d, 0xbe90a65e,
+    0x1836ddce, 0xf47259a4, 0x886fc5be, 0xd7363acd, 0x6cfc38c5, 0xfddf9fab, 0x0aab848d, 0x8ca56d59,
+    0x25ab16d8, 0x1a42d8bb, 0xb593af74, 0x8cbf4721, 0xf6981e37, 0x7eb46932, 0x33d27a8b, 0x2bc03ad7,
+    0xf7190138, 0xd12568e6, 0x96968dcf, 0x67b95f5e, 0x2b894e70, 0xedab7586, 0xf9b6613e, 0x13641c01,
+    0x5efb205d, 0x9c2c2296, 0x79b9595b, 0x08b75274, 0x1381e00a, 0xcf63dbe3, 0xba834ba0, 0xab20432b,
+    0x05d8507a, 0xabe35d54, 0x1270129a, 0x119b70eb, 0x930293a2, 0xf62ca132, 0xb1d43006, 0x5e012623,
+    0xc5474551, 0xbb3331b6, 0x9e7b9cb4, 0x6a17e5cd, 0xb0ee969f, 0xb2cee682, 0x5c8b4f27, 0x88d415c0,
+    0x33d59ef9, 0xc2b03765, 0x41375885, 0xf48a11c0, 0x4b5e23ab, 0x3fb89814, 0x84c4d35f, 0xa151772f,
+    0x9aad5371, 0xd4719188, 0xcdc0127e, 0xe5e52ce9, 0x5727b61b, 0x019e500e, 0xda103e27, 0xe3f06e34,
+    0x73dbc488, 0x7a35d3dc, 0x27056a4d, 0x362571d1, 0x16949ad1, 0xe94dff42, 0x0f6912ef, 0xa0f85999,
+    0x6c54fc8c, 0x341053a7, 0xe365324b, 0xec5880d2, 0x29da32f7, 0x126c445f, 0xe396e669, 0x755c4eea,
+    0x0beca878, 0x3bf841de, 0x99541fee, 0xf3faa443, 0xdeae7d9f, 0xc9b4f56f, 0x2651543e, 0xace7b63e,
+    0x88938acc, 0x5a4b1cb1, 0xf31f872a, 0x6c47b337, 0x6e26ca7a, 0xd1bcf441, 0xfa615aec, 0x2495e3e5,
+    0xbec616a5, 0xe09ecb11, 0x3464c778, 0x884f12a7, 0xfa287b0c, 0xc058285c, 0x369b5c97, 0xb4846010,
+    0xd2d707f5, 0xc7b8074a, 0x03b905eb, 0x9f7410de, 0x20377182, 0x3ffe2d69, 0x9334753c, 0x1961616b,
+    0xd16f06a4, 0x09bda359, 0xc60db79f, 0xcf9ea8e9, 0xb077f2aa, 0xeff77fd5, 0x0b811af1, 0x837602e9,
+    0x963ee10b, 0xd423efd1, 0xab488b8b, 0xb7906fa2, 0x8b469fc2, 0xb1d40d1a, 0x5bb745c4, 0xfbae0a36,
+    0xb54bb5f5, 0x81ccc064, 0x82857a5c, 0xe815035d, 0x1b8bafd3, 0xa2ab9270, 0x16f54658, 0x78c1b347,
+    0x468f91d2, 0xa68afa94, 0xb97963d9, 0x2806944f, 0xaa033b6e, 0xd4d2e00f, 0x303f1aff, 0x586157a8,
+    0x732e2d30, 0x21de9bf0, 0x09045803, 0xf6eacf51, 0x9a2f5485, 0xed0a1deb, 0xc0de63cc, 0xf656cce6,
+    0x58d0439c, 0x945379a5, 0xbef2c082, 0xc9822ebe, 0xd25fa38d, 0xe01ecdbb, 0xfe6388f4, 0x82162183,
+    0x4ae70a0b, 0xbe18e098, 0x3e29d3f4, 0xf01982e0, 0x130f5e92, 0x00f6dbf3, 0xdb5d585d, 0x6767a02d,
+    0x94699b2e, 0xe6d12fad, 0x632f1af2, 0x1ae321ea, 0x987dec4c, 0x05f41782, 0xaf007fbd, 0x0b75aecf,
+    0x3229effc, 0x551e2deb, 0x97f9404a, 0x21f7e62e, 0xba76c743, 0xaa866db5, 0x3268352a, 0xa1324f11,
+    0x19b0aefd, 0x2a02239d, 0xbdb4d9b8, 0xf51f5e06, 0x07555340, 0x2198bad8, 0xa2d53a80, 0xdd5539ef,
+    0x00b89e32, 0x7d2da193, 0xfa05f285, 0x68fea2b1, 0x02828cbf, 0x4bd9638a, 0xd8cd8b87, 0x31e58c3d,
+    0x2e44335b, 0xb201f1e2, 0x8c6ca223, 0x91614f3b, 0x73b4f384, 0x76449b17, 0xea153590, 0x6519a598,
+    0x3d5cdcb3, 0xea2ee6db, 0xdf4e0be6, 0xefe95282, 0xad43946b, 0xd47f965e, 0x86b58a92, 0xc14089c3,
+    0x6ebd3a9f, 0xb4f246c7, 0x2b8965a4, 0xd6959f69, 0xf8ac79bc, 0xfc5ad14c, 0x2d2666ef, 0x9b162a40,
+    0xbea82039, 0xb21bf2a8, 0x7f94a76c, 0x4e69da78, 0xc4c9257a, 0xa17cc587, 0xbe9785ed, 0x83558690,
+    0xc6d4cd2b, 0x1289e216, 0x9ae0ab6b, 0xe107e6e1, 0x42819f5e, 0x64c8c814, 0x53c347d5, 0x4889f68d,
+    0xc7948774, 0x6c9ca0c9, 0x34f3f97a, 0xbe8b20b4, 0xba4a50f2, 0x1c952c8e, 0x2a7bd554, 0x315e21fd,
+    0x3b0c9628, 0xb5a97730, 0x311ac839, 0x86b9485e, 0x5b36e116, 0xdd4011e9, 0x68157876, 0xa5b25d17,
+    0x00000000,
+    0x8f9d1f11, 0x87ef4eea, 0xc2ce8332, 0x56404173, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7,
+    0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000174980057982640953949800\
+                         17816940970922825355447145699491406164851279623993595007385788105416184430592 */
+  { 0x00000000,
+    0x5ad16a9f, 0xc63eb9ff, 0xb1c34a3d, 0xb79a0a44, 0x44c2f258, 0x60cd3134, 0x5ff6b707, 0x3926bce3,
+    0x42f3c2c4, 0xcc9f6028, 0x50aecb26, 0xb7b82f81, 0x8b36eca7, 0x35e054ee, 0x8ec1cc89, 0xb67ff4e7,
+    0x5cc3d95c, 0x49485c8c, 0x70eda86d, 0x51be96d7, 0xfc044244, 0xa8a60838, 0xab765db0, 0x55ea9264,
+    0xc93f99dc, 0x71c973c8, 0x20ec7ac7, 0xf0330f24, 0x372f4a77, 0xe70819bb, 0xc54679c8, 0x79ad8a8b,
+    0x0057c946, 0xa90c31bb, 0x20861d47, 0x6561f9fa, 0xdceb8835, 0x090f5e69, 0x378608d0, 0xc48748f4,
+    0xc285335a, 0x8808d284, 0xa13e2ef1, 0x3520aaa1, 0xd2e82cbf, 0x90524ca9, 0x151fafa5, 0xe97d07a6,
+    0x45ca8aa2, 0x461ceef6, 0xdfcfd59b, 0x159aeceb, 0x86610f41, 0x070f427a, 0x4fa32ccb, 0x955fbf15,
+    0xdc6af1a1, 0xd2cc672a, 0x123153b3, 0xfdb91c60, 0xd2a68e35, 0xe850d535, 0x2ec14066, 0x8fd28056,
+    0x1444b381, 0xbdb8e6d0, 0x0fe62747, 0x0c5da35b, 0xf8563e30, 0x960648e3, 0x5a147233, 0x77641c04,
+    0xaaaa7776, 0x7324e71d, 0xc6d27653, 0xb76e707f, 0x64b81961, 0x9beb837c, 0x9d280194, 0x7eeb8441,
+    0xcc6cc9f3, 0xb7a13046, 0xde464e39, 0x4beb4f39, 0xfda5f5e4, 0x29a5997b, 0xcf3be63d, 0x6eb9b0fb,
+    0x8ade3cd3, 0x1f730688, 0x59ea5e13, 0x3d181365, 0xb0f385f7, 0x89a8627a, 0x3ec04ab2, 0xae3e80fe,
+    0x20021d7a, 0x24e749bd, 0x0be6fad3, 0x9a95950a, 0x00b739cc, 0x4b92a229, 0xe330dabf, 0x838fc6c5,
+    0x2a933ee2, 0xeb82626c, 0xa380ead8, 0xeba0941b, 0xbbf9bb46, 0x8b8b68d9, 0x13346a69, 0xf752443a,
+    0xa7044f5f, 0xac9e8669, 0x3c63ccb4, 0x4ed1fcdf, 0xc22b1b76, 0x3468296f, 0x02c53290, 0x84fbea4b,
+    0x43a1232f, 0x914ee66a, 0x91c55ddb, 0x5f848e32, 0x0685ad69, 0x3e435e34, 0x8283e1e8, 0x4d612e7d,
+    0x4e3c338c, 0x430b6429, 0x1df7a18d, 0x5d326de8, 0xf3e535db, 0x2e9a3068, 0x8c4653bd, 0x11185e2f,
+    0xbcdc6cc3, 0x7a12d083, 0xb2d0442b, 0xc8171158, 0x0e28bab2, 0xb0581fdc, 0xacbd252f, 0x956dc798,
+    0x3c99cd80, 0x91dbf59d, 0x180ef7d1, 0x265d822b, 0x8962b73f, 0x51777507, 0xbca208b4, 0xf4409775,
+    0xc5427b30, 0x6deb44fe, 0x839b6775, 0xbbd83bf9, 0x2ce9841e, 0x97dce401, 0xc34c1a44, 0x48ff29e6,
+    0x3b6242a4, 0xa4a95dcd, 0x763001ad, 0x638d0d0f, 0xa7f202d3, 0xb3e69984, 0x5bc194d8, 0x7900a936,
+    0x46c4dad1, 0x604c5cd8, 0x384da5c4, 0x66a0285c, 0x49b7dacc, 0x397f8115, 0x8f2928ad, 0xde6e3d8d,
+    0xc2dab03a, 0x420baa18, 0x6c40965d, 0xc67ee2ca, 0x1b03136b, 0x73d28134, 0x72ed37c6, 0x6ddbe179,
+    0x124a4cc8, 0xac306f9a, 0x1923f0e5, 0xabf26d07, 0xc0974a61, 0xbe7e9ed8, 0xfc979c76, 0x17e07a4d,
+    0xa6651eb9, 0xab204e36, 0xd9dbc5e1, 0x75636837, 0x5b1d1af6, 0x1e3bfcce, 0xd6ffff13, 0x387e218a,
+    0x490bc7e8, 0x81177b84, 0x7cd5386a, 0x770bd20d, 0x9731005c, 0xa1d4076b, 0xc1f1fe9f, 0x8d09828b,
+    0x7bf46505, 0xcd39cb06, 0xf2ea83ef, 0x5ab71ee9, 0x6133b926, 0xac1c7f97, 0x19509e99, 0xd569f387,
+    0x44a9726a, 0xd8e304cf, 0x805b8aae, 0x85fd6005, 0xa2e4bdc7, 0x733d6130, 0xe0911611, 0x8e8c1eb8,
+    0x2cfe3132, 0x20377d08, 0x7a03e582, 0xc2306df2, 0xafdff078, 0x6be35cd1, 0x5d35bb55, 0x78b76b32,
+    0x3659148d, 0x90b3bc7e, 0x2c59109d, 0xd9f47333, 0x3748848d, 0xe3de03a7, 0x187fbb09, 0x86d209e9,
+    0x3c0a7a09, 0xa59e897c, 0x5e30357b, 0xa5be675a, 0xfea482f4, 0x194fe217, 0x31d819dd, 0xd40dec29,
+    0x83e54afa, 0x1548c38e, 0x2e6b4f52, 0xd3dbb0c9, 0x197b793b, 0x646bba03, 0x8c8cf721, 0xe8ae8cc4,
+    0xb2bdccb2, 0x7dc41916, 0xc9071feb, 0xa4a023f1, 0xdb4141ff, 0xc270e743, 0x596f4a27, 0x1bba5ad2,
+    0xbda9a34b, 0x93f54b9b, 0xbe41fda5, 0x3fb401fd, 0x4ebc6e3f, 0x1bc7d945, 0xa54c54ad, 0x90bb7c80,
+    0x918a4532, 0xc69003ca, 0xfc61de25, 0xd249c9b1, 0x652cec0b, 0x80d526e8, 0x22c59576, 0x0cbab206,
+    0x89faa2e8, 0x59e93964, 0x15d9c40b, 0xbff8c972, 0xbeb3a90c, 0xf1abce66, 0xb137338c, 0x342521e2,
+    0x2ac42531, 0xbcded8f2, 0x0f5c42cb, 0xa6a97fdb, 0x36373681, 0x9862e1e8, 0xaa489d6f, 0x04ebaa94,
+    0x928c52d0, 0x5718f653, 0x6070cef6, 0x51397cb7, 0xdd98abad, 0x24239776, 0xfb4119a8, 0x5b143842,
+    0x27d9c7df, 0x02987a38, 0x53d2e5b4, 0xdadcb3a0, 0x39dbcb10, 0x395bdfc8, 0x4c0ef4ac, 0x833697b1,
+    0xd9909cf7, 0xf6756d35, 0x4e001c7f, 0xb02b1988, 0x3b4cceb0, 0xa62aa11f, 0x58e208ec, 0xbbe977ac,
+    0xf0ed5121, 0x118ee823, 0xfc8def3e, 0x24edd032, 0x5817ab8b, 0xc5ef16b6, 0xf30abde1, 0xac2ca52c,
+    0x6b8ddbf8, 0x992225f5, 0x72a8f896, 0x488aaf0f, 0x382809a5, 0x1556b747, 0x9538ae83, 0x00fc7807,
+    0xa79acd5e, 0x4c0a6ad7, 0xc0bf0fb5, 0xddb03f24, 0x0b0f3625, 0x4eb62c26, 0x541ae3a9, 0x6c1e86f9,
+    0x871116cd, 0x2b72e8f3, 0x1dbebdf9, 0x485850a1, 0x7ec11a70, 0x7dfed6a1, 0xee97476c, 0x9072a057,
+    0x8bca7197, 0x262ed035, 0x222190bd, 0x51bec27e, 0xcb81cfa8, 0x36337459, 0xb5dbfe0f, 0x184ee2db,
+    0xdc24d91d, 0xc4530cc1, 0xc03009fd, 0x9438c1f6, 0x90682432, 0x1e0dad2b, 0x2a058cc4, 0x55521547,
+    0x1cd1429d, 0x0108a4d3, 0x13e3c004, 0xf7e2458b, 0xfc49af38, 0x3abbcf2a, 0x87c15039, 0xd0e49b8b,
+    0x86aae862, 0x13b32950, 0x5a09a3e9, 0x34241318, 0xcf4bf46b, 0xfb1c4567, 0x3ff42ef8, 0x4e3124b1,
+    0x10d14223, 0x60cce221, 0xecdd97a5, 0xc771b619, 0x3c151015, 0xd345cc3b, 0x57b918ee, 0x2ccf928d,
+    0x5480463a, 0x36b3cc8d, 0x4c15201a, 0xa9af90a1, 0x33dd60b2, 0xe3e0d0ec, 0x26d2678e, 0xdfe25867,
+    0xce455f1e, 0x6ca15133, 0xf1b4f088, 0x6db3cc1f, 0x5414b533, 0xfdff3171, 0x061f1522, 0x9778ffec,
+    0xe79f806b, 0x13393373, 0xf3e05988, 0x6f43482f, 0x655b2a43, 0xdab810ce, 0xdef84c09, 0x3c4b8f76,
+    0x13b6eed5, 0xab5b4805, 0xfb9c028c, 0xedba09c7, 0x4f9efaeb, 0x22f8a5d1, 0xc22eff4d, 0x840ee1d8,
+    0xaa36fbf5, 0x4043192f, 0xc7cb9a78, 0x5deda6a1, 0x1d28b2d9, 0xa0b1818d, 0x65163f87, 0xc1d78c7f,
+    0x98f4d85f, 0x3e6adcc0, 0x7c8091fb, 0xaa4efeb0, 0x5359097b, 0x2eb18634, 0xe34dc553, 0x8cd7c77d,
+    0xf9d2e4b5, 0xda73bed3, 0x10e12d84, 0xcbf39aa8, 0x18195078, 0xbd33c310, 0x01764a11, 0x0da3acdd,
+    0xd7166a9b, 0xf6131a9e, 0xd61784d4, 0xbda00049, 0x8adfebb3, 0xaeffabab, 0x879fd71f, 0x0d9506c3,
+    0x58cd0fc4, 0xff014d60, 0xa9d165d2, 0x645fbfad, 0x550be5f0, 0x10b0fdbb, 0x956ee6dc, 0x01262157,
+    0xa5371a18, 0x6d0aa845, 0xf5756248, 0xe01b90f1, 0x487810b9, 0x96c786cf, 0xdf76858f, 0xfbfadb2b,
+    0x737e81cd, 0xefd43598, 0xae8376b6, 0xc7888dee, 0xc3fb96f2, 0xb76271e2, 0x76e778b9, 0x7d7f2f5d,
+    0x9ddcf664, 0x07564f26, 0xa767470e, 0x2e311ce5, 0x35c69649, 0x39172dc6, 0xa78f617c, 0xe1e1ea52,
+    0xb51ce257, 0x8db2377c, 0x051ee31a, 0x855ada0f, 0xdeb556b3, 0xb04339eb, 0xbde048cb, 0x404d4525,
+    0xfd004945, 0x33d83359, 0x2bbdf9e7, 0x296f3871, 0x7c998a38, 0x91ba00bd, 0xbf205cfa, 0xaed94cf1,
+    0xa6ee2f7e, 0x705b0ffb, 0xb00ea258, 0xb0d1b702, 0x8bfa0751, 0x4c7b44d8, 0xeb603bfa, 0x24d4b3d8,
+    0xb9dda39b, 0xd9e4bfc4, 0xecd1ccfb, 0x78ccd114, 0x0ac5ace6, 0x096c4474, 0x9384e106, 0xbde82701,
+    0x3ffe8316, 0x40461c9f, 0x15349e1a, 0xf74ab5de, 0x286b0a66, 0x2e7478ed, 0x94f558a5, 0xe29b2ab1,
+    0x60a7ce2d, 0x3b8d061c, 0xe3904f24, 0x334d23e5, 0x6b2917f9, 0x23f7a556, 0x5c7b771e, 0x8bb9ecc3,
+    0x95f3c760, 0x2d124b62, 0xd93c1095, 0x6ec9f5d2, 0x7f01c447, 0x792e3452, 0x1b4ab2db, 0xd7e5e9b7,
+    0xc0856089, 0xfc89073f, 0xa682f8a5, 0x7bea51dd, 0x931130d5, 0x55c4ae80, 0x98bf10c2, 0x3538e51b,
+    0x4ca47020, 0xd50be45f, 0x1395a4ed, 0xd7585305, 0x4f283ecd, 0xe973f7e2, 0x6b1698a9, 0x9dc2c2c4,
+    0x388e3226, 0xbaee6288, 0xa204f7eb, 0xb8b3d19f, 0x1b71624f, 0xce51eafb, 0xea2e79f5, 0xe723907a,
+    0x4daa4961, 0xd89c3b55, 0xfcc4f508, 0x0aeca2be, 0xc87889f2, 0xd6636e41, 0x80243c52, 0x02d6f9dc,
+    0x6a2a7b31, 0x18d70abf, 0xa9ee6357, 0xf45220dd, 0xc77ebb3a, 0x9b1eb9a3, 0x2f23bada, 0x021fbd91,
+    0x228ca7b0, 0xa5fc2a34, 0x79dd1d56, 0x4cf4a9be, 0x62c98607, 0xc41b1340, 0x691d446f, 0x36be4067,
+    0x768cbfb3, 0x8372b56f, 0x871c68e8, 0xc34277e6, 0xb2086f5f, 0x14a9601b, 0xd0490d1e, 0x586e2d71,
+    0x3b66daf9, 0x205a5d82, 0x575838bd, 0x10a5c68d, 0xe03669db, 0xd133aaaf, 0xefc7034e, 0xd7c7e390,
+    0x2575b04c, 0xc2b7d0b3, 0xf8edd0ff, 0x3f1cd47a, 0x7566924a, 0x3eeeba70, 0x7532cfdf, 0x223439ff,
+    0xbdd022d3, 0xddb0e926, 0xea13b55a, 0xfef7178e, 0xa92ee0e6, 0xc48b3a58, 0x0cd75029, 0xb31b23f0,
+    0xa5436db5, 0x24515ae6, 0xd16a987d, 0x27c47ea4, 0xb2d5321d, 0x680286b6, 0x735795a3, 0x7dbb69e5,
+    0x67ce2c52, 0xa046f6d5, 0xa11d7a32, 0x82f28cc3, 0xf311baf1, 0x36221ab6, 0xb5f2fb23, 0x0c8d6931,
+    0x3c437e97, 0x163656bf, 0x739a6a32, 0x727ab5bb, 0xc1b40373, 0x301722e6, 0x7c28bb0f, 0xef530327,
+    0x949a67a0, 0x105acb48, 0xb83c7b04, 0x56fc84ec, 0x9eb55394, 0xf8141f62, 0xf4602098, 0xa994d298,
+    0x3a0786f2, 0x07d12a0e, 0x64e29539, 0x5e49ea52, 0x9e2adafc, 0x6476196c, 0x98b4cd83, 0xa8dbe3f7,
+    0xe6681532, 0x077a6061, 0xdd9c7700, 0x19bd9323, 0x3bd7769b, 0xe39c7627, 0x4a95b289, 0x41e2bc97,
+    0x5dc4b151, 0xf1bbe892, 0xea25d957, 0x27b767a1, 0x3f5201e3, 0x2eb462cc, 0xcdd38386, 0x8d629341,
+    0x21913923, 0x4eff3739, 0x69fd1177, 0xdaf20cd6, 0x5ecf84a9, 0x5fac27c2, 0xc3470929, 0x549f7a7c,
+    0x939bcb7f, 0x801b6301, 0xc419c163, 0xeaf8b59c, 0x03a60e08, 0x840a18c0, 0x65926716, 0xa116ad13,
+    0x7cb832bc, 0x78a911bc, 0x8317249c, 0x7823119e, 0xf186968f, 0xa7276057, 0xc2c9ce35, 0x52897a74,
+    0x140049ad, 0x85ea874d, 0xfd776dbc, 0x8b953a76, 0xa5ee5a78, 0x30391c13, 0x77eb256e, 0x586ddcb9,
+    0xf35aef61, 0x8636129d, 0xee8cce38, 0x077e952b, 0xa5510c2e, 0x64ff586a, 0x5fa248d4, 0xed166fec,
+    0xe642efa2, 0xe3ebfa74, 0xa0118928, 0x6bbfa793, 0xde79b5a4, 0x64124581, 0xf69cc22c, 0x5a07d1de,
+    0x78c4af4a, 0xcb552215, 0x5705d882, 0x6f4a8521, 0x2e1de30b, 0xaa3ae773, 0x8ec91f56, 0xa3b6a632,
+    0x6707c28e, 0x73212050, 0xcbc3129b, 0xd50b15eb, 0xeaf64e70, 0xd9833131, 0xd4653220, 0x0c3b0bda,
+    0xcbe634f9, 0x96051e78, 0x854538d1, 0xace399fa, 0x2978a83f, 0x2e71bebe, 0xbf9e45ed, 0x416bbb42,
+    0xa2d05e99, 0x0c069875, 0x9805e9f9, 0x94b57438, 0x1c73266d, 0x447d1ab6, 0xa27f485a, 0xefb05ee6,
+    0x85c3f5a5, 0x664d49fb, 0x22d1b5d5, 0x3ce4a9fa, 0xd7d71f4d, 0x8cc8a1ce, 0xeb2fbae9, 0xa2b266f6,
+    0xa7cc60e9, 0xb8f86182, 0xa5ec6010, 0x90aa98a1, 0x95aa9fd7, 0x23701cc9, 0x91a01bf6, 0xd5855cb1,
+    0x7fdcda0c, 0xc6d5bf7f, 0x172c7c9d, 0xf11216d3, 0x9aa0d20d, 0xb77a80c8, 0xc88c500b, 0xa5c5b1b9,
+    0x57a63736, 0xb1f14aad, 0xfab8974e, 0x7c4d5077, 0x8a82c9fe, 0x9afed9ca, 0x7d74608b, 0xb9642096,
+    0xf93e0e0e, 0x30f47191, 0x199658ca, 0xb0578dda, 0x2bc93a15, 0x858c527d, 0x4adb460c, 0x73b9aef4,
+    0x33423393, 0xa2cbacc4, 0xa43ac2e7, 0x7bc7bda6, 0x6c0cedd0, 0x342355be, 0x5851e077, 0x0a72a670,
+    0x6d4c1192, 0x6cb52558, 0x531444d6, 0xc24d96d9, 0x162f20ba, 0xf7409d61, 0xfcc7acbb, 0xe0200d83,
+    0x8c7ea0df, 0xecb9a0ae, 0x7079edf3, 0x4f168b99, 0xf19bf136, 0x3897883a, 0x380e9482, 0xacf9bbe6,
+    0x499f6a1a, 0xdc615d78, 0xc7e08499, 0x60ef8f13, 0xeb10f6b2, 0xce193a00, 0xe7e88960, 0xe9d59cc2,
+    0xe7d9b6dd, 0xfb67f359, 0x47bac038, 0x25db218d, 0x59d2f1f7, 0x667df695, 0x65afe9ff, 0xf4083d18,
+    0x8a1620d5, 0x6c3fc182, 0x6b0fc262, 0x3a0a44cf, 0x32c57afd, 0x881aa3d8, 0x660d3146, 0x6dcd1972,
+    0xc0e9ed46, 0x8b912c7a, 0x92e65807, 0x0165ce74, 0xd75e9762, 0x4dd87142, 0x51735d82, 0xbc0f7f6b,
+    0xdbfc2300, 0x68e0742a, 0xf0798c1b, 0x5e05da34, 0x5df04cda, 0xbbdcddb4, 0x331586f7, 0x78c8c55a,
+    0x9aa3022a, 0xcb1c1c74, 0x6f76ca27, 0x819d83cc, 0xf1b88868, 0x7e96b4ea, 0x7fe26197, 0x7d229cd3,
+    0x0b9087e9, 0xa23fc2bb, 0x210745dc, 0xa4083571, 0xa6fb8a2c, 0x5b33f8b8, 0x715f520c, 0xfac589fa,
+    0xe36e3bb9, 0x31a6909a, 0x36f2018c, 0x03be185b, 0x733ac932, 0xe6bb46db, 0xab1abb5a, 0x7aa1345b,
+    0xd5ec6bcc, 0xbb17e069, 0xcb682a33, 0x58aad4ad, 0xdc04df44, 0xc2506cee, 0xf386c950, 0x6bd94985,
+    0x2e4799f2, 0x663197b9, 0x2bf8d7f5, 0xf36e509a, 0x581e82de, 0x49a3c63a, 0x894a31df, 0x5f06551f,
+    0x00efc5ce, 0xf70207ff, 0x4e5bd9dc, 0x2d6754b0, 0xcd89259a, 0xf301966f, 0x981d3c95, 0xc0e2a2f8,
+    0xf956b705, 0xfafcbcab, 0x72b72505, 0xa7641bc2, 0x3652cdd5, 0x74d704fb, 0xbf13a188, 0x4054fef7,
+    0x805de814, 0xa1916f8b, 0x137917e4, 0xf3a0ada0, 0x8f327384, 0x785d28b8, 0xfde2270f, 0x96f8ec7a,
+    0xe95062a3, 0x037c7d6b, 0x8014321d, 0xa9822ec2, 0xfc511d31, 0x931cc0cd, 0x4952fbe6, 0x76a5e66f,
+    0x6092b93e, 0xc54ab6a0, 0xb15642af, 0x9683294d, 0xab7dc4c3, 0x2c30f91f, 0x83496345, 0x5ea4255e,
+    0x4cbc5874, 0xb664c706, 0xc7822004, 0x9c495ba8, 0x0bb0cf7a, 0xd89ef4d7, 0x5fcd3db8, 0xbbb649bb,
+    0x656f825c, 0x1fdc08a2, 0x69113dfc, 0x8243cccd, 0x26b2a11a, 0x769fcc11, 0xc8f5a4e4, 0x172058d8,
+    0x9aaeb650, 0xd8d5194d, 0x7fdbb14a, 0xdae9bcf5, 0xc3df7195, 0xd6ed69f5, 0x0fe1186b, 0x8ee00da1,
+    0xc4c1f2cd, 0x462db39a, 0xdce85a71, 0x11516b1b, 0xc953ada7, 0xaa549afc, 0xd523bde7, 0xc560cc39,
+    0x670b0301, 0xb70eeb4a, 0x2e8a1608, 0xe901edf8, 0x1cc9ab42, 0x31b3eb60, 0x5b2404e6, 0x3e952c4b,
+    0x563c9afe, 0xe17fc635, 0x41ab1db8, 0xad69a159, 0xfb55f87e, 0x3f26bf31, 0xf99abe64, 0xe48029d0,
+    0x4a535651, 0x82494fa7, 0x92705ffa, 0x9bef9085, 0x9e9e305f, 0x03d7d5cb, 0x8377f4f2, 0xf7d57ba3,
+    0x72efd745, 0x1d955cd2, 0x156b7ab7, 0xcfe520b8, 0x290ef861, 0x17a27bc2, 0x02c5c1ec, 0x91a23bcb,
+    0x00000000,
+    0x47ce8f88, 0x43f7a775, 0xe1674199, 0xab2020b9, 0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b,
+    0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000087490028991320476974900\
+                         08908470485461412677723572849745703082425639811996797503692894052708092215296 */
+  { 0x00000000,
+    0xa26ad4e7, 0xa55ff6e4, 0x3fb2dbad, 0xc22f8500, 0xfe87d3cd, 0x7732b2ec, 0xfcc22eae, 0x0c53ca07,
+    0x70f3ca7a, 0x4140af0a, 0xac15daa1, 0x77e2469f, 0xd75f594d, 0x7281655b, 0xba4257ee, 0x23eb03d9,
+    0x854b0f70, 0xb16b114e, 0xd0ec64a1, 0x4906283c, 0xc606f31a, 0x73deb1c3, 0x8d1c4197, 0x2f8142b2,
+    0xd1026690, 0xd0bce639, 0x1dfe6811, 0xb3c36746, 0x681b3ae4, 0x814e897d, 0xcab3d234, 0x2b8f21cb,
+    0xc4bc43ff, 0x3c0eca2f, 0x3a358b02, 0xb6bdfef3, 0xfdaf87b0, 0x72fbeab5, 0xd534cc2c, 0xf11a2e3c,
+    0x2f7d5a22, 0x58026f76, 0xd2e6f9e2, 0xdc982d3c, 0xdf475df0, 0x487de7b4, 0xc4b428df, 0x1c75db9e,
+    0x9041b51c, 0xd3837555, 0x887a9b94, 0xa41e7059, 0x6b3c250e, 0x2f459ea6, 0xf85b6d67, 0x1aeae5f4,
+    0xacb8721f, 0xa222bff5, 0x04824390, 0xbf2a12b0, 0x1904794a, 0x09f906c1, 0xdbcfd6d9, 0x88b24149,
+    0x7c2af0f8, 0x96d07fa2, 0x4ad213cb, 0xf2d91d30, 0xcca30993, 0x5ea923c0, 0xf1960035, 0x230679ce,
+    0xb21b8339, 0x7f77acdc, 0xb5f6b6cd, 0x1504706c, 0x7ede181e, 0x7f8bbe8e, 0x7982e866, 0xf076b322,
+    0x71bcd468, 0xeb39d293, 0x7754e118, 0x3ade995a, 0xea2dd657, 0x793e679e, 0xba7d4a7f, 0x23a410b3,
+    0xab68fcdb, 0xaac2baf2, 0x0cc733a3, 0x71d96311, 0x55ace0af, 0x36fc14d2, 0x1bf7ca37, 0xd9be8d4b,
+    0xbd066d3a, 0xc31957b7, 0x5debca73, 0x8fe721b8, 0x5ecc677f, 0x7412404b, 0xe552d812, 0xb55c74f9,
+    0x98e29a15, 0x2f6b6dc6, 0xf88cccf2, 0xaf756e26, 0x85f92af5, 0x646536ff, 0xb6130d91, 0x66e52469,
+    0xc78c909f, 0x29a5afc6, 0xc6ffe1e8, 0x26e8f712, 0x5bb64469, 0x2a3220b3, 0xcbc2a8e0, 0x6680ca1d,
+    0xb92372a1, 0xd88d3e4f, 0xc0a2441b, 0xc429cc2a, 0x667690ba, 0xe8793c34, 0x7e350807, 0xf9c6731a,
+    0x8f6cff64, 0xae9241fc, 0x2d57a64e, 0x59484d35, 0xf11359dd, 0x36e14d95, 0x9a9ece4b, 0x7533de39,
+    0x81600e82, 0xc211696b, 0x74285dbe, 0xede4b2c8, 0xf386a69f, 0xd94ddc9a, 0x0e5141b9, 0x79efe49f,
+    0xcc6fc7b5, 0xdd2fdebb, 0x10cc5557, 0x000310f2, 0xc764b606, 0x43e3b6d3, 0xfd427f93, 0x88aad503,
+    0xc7fdec92, 0x292c8a3d, 0xba91aa28, 0x1708f3be, 0x0690213b, 0x4f15025e, 0x06a64523, 0x125b765a,
+    0x802094ff, 0x545803ce, 0x81a0d5f2, 0x3574b4fe, 0x475b71b9, 0x8823f811, 0xcf6f6236, 0x2b067ee0,
+    0x4dc56cb4, 0xdaa880ee, 0x728458c5, 0xd0458b56, 0xa84d72df, 0x8da244d0, 0x9c8352b6, 0x0bb30bbd,
+    0xe64a3a81, 0x9936471e, 0xae8ce4ac, 0xfb84dc5f, 0x7c589ab8, 0x43020669, 0xfa3c3bdb, 0x05b33b84,
+    0x14fc2e99, 0xf63adc5f, 0x470888e6, 0xe34b87d3, 0x76846ec1, 0xf435650c, 0x8f29aad8, 0xc6e562f9,
+    0xe73a87fd, 0x587b18c5, 0xf643d444, 0x9714e01a, 0x881dd3cd, 0xc9415cf0, 0x241c924a, 0x513e8de6,
+    0x9539d2e7, 0x61f7d0ba, 0x4be7ba50, 0x9590a60e, 0x378767e1, 0x3a0936a3, 0x067af54f, 0x57c03033,
+    0x402f3512, 0xc2144882, 0xf5129374, 0x5b64715d, 0xad686cd0, 0x67811748, 0x4562c563, 0x7113385a,
+    0x7e7730fa, 0x22df09eb, 0x8455572e, 0x7d3ffa78, 0x64643c09, 0x04c9d1b3, 0xc21ba20d, 0xe7b196e3,
+    0xffc798d9, 0xa56e5fba, 0x5b6177cb, 0xa6b993fa, 0x949c4c6a, 0xf93915b7, 0xb710ee4b, 0x1d544a2f,
+    0xe658f3b0, 0xe68317a4, 0xbb3bd52b, 0xdaaa619a, 0x74520739, 0xa74f052c, 0x3bc229af, 0xbc9a2c10,
+    0x8f318891, 0x6c614667, 0x58d39948, 0x76ac4014, 0x3fad1018, 0x3c812999, 0xf0459bb9, 0xb5113ae9,
+    0x59a1c682, 0x553c6e9f, 0x40877319, 0x2264c09b, 0xc1749c8f, 0x523443de, 0x2ec6dde4, 0x9ac8b449,
+    0xa99a79b9, 0x8ab36cd5, 0x4716b1df, 0xdd3b8140, 0xe927ac84, 0xaca37387, 0xb25cf084, 0x844fbb5b,
+    0xd40c6720, 0x7a9b4655, 0xa065506a, 0xb65bc997, 0x132de3be, 0x41787d71, 0x321832c2, 0x17e3a1ba,
+    0xdbac398f, 0x36b57bf3, 0x406efe81, 0x2e2cd517, 0xbec88eb7, 0x4761ae93, 0xcdf724e2, 0x3895ecdc,
+    0xf63e9f26, 0x2ddef26c, 0x194abfd3, 0x4314698e, 0xf51796d1, 0xf2382467, 0x14e047d9, 0x8d426c87,
+    0xb8e3774b, 0x47288e35, 0x2496030a, 0x267e7fd0, 0x9910d5cb, 0xf36a6a3e, 0xb35411fc, 0xba450ab8,
+    0xa1f6c6a6, 0x3ee0ad6f, 0xb37d5a9e, 0x7d7f6026, 0x1bb938a4, 0xe7881016, 0x51fab624, 0x62f4dc46,
+    0x45316d44, 0x2cc6dd6d, 0xfbe2b31c, 0xa512754d, 0x77d73e5d, 0xced7302f, 0x62f2bad7, 0x7ebe768f,
+    0x9caa1674, 0x9cd691cf, 0xd48c1012, 0x7408ff83, 0xa1913458, 0x51cce034, 0x039bd606, 0x5d0cb8ef,
+    0xcc640438, 0xbfda7e34, 0x29812b22, 0x27d5e12f, 0x22e78981, 0x8a166684, 0xc223229f, 0x4cc2f3a2,
+    0x4d3b5dbf, 0x0df43b50, 0x5e430506, 0xbbc80c38, 0x2229e510, 0x2882ece6, 0x4b72f811, 0x30c13fe8,
+    0x50116158, 0x64c71f43, 0xf195bc32, 0x91378eaf, 0x9cdaaaed, 0x31784a2a, 0x62ac0e2b, 0x682fcb9d,
+    0x1d0ad93e, 0xff86d934, 0xcc34a5d5, 0x6f8f2aed, 0x78199d9d, 0xe457c161, 0x1642f49e, 0x7c1eed7a,
+    0x1f1b8cda, 0xb265581b, 0x913787ee, 0x50990b5f, 0x765b9783, 0xf3300bc3, 0x61dad737, 0x26bf33a2,
+    0x94c2c40d, 0x69f7a6fc, 0x3afccf4b, 0x20b2ff9b, 0x98ab94bf, 0x11b8d65e, 0xa69bb747, 0x045c02bc,
+    0x5d5ab8c5, 0x3d7268df, 0x6a0dad65, 0x24c8aa13, 0x46dbd331, 0xc2fe4291, 0x762abe03, 0x409c04e3,
+    0xd0b433de, 0x4904281f, 0xb405c508, 0x118de40b, 0xa60fa600, 0x1a2a4c64, 0x025405a8, 0x28aa7271,
+    0xe19be3b7, 0x2bc0d750, 0xcaad1f8f, 0x1f8467b3, 0xe0a7c3b3, 0x46f8fabc, 0xe0b245a4, 0x23a4947b,
+    0x87b76048, 0x3813c2d0, 0xf5960dc8, 0x8ccf4ceb, 0x45b1589e, 0x2715e45f, 0x80d43142, 0xb7a109c6,
+    0xd9f24e20, 0x75eb25d8, 0x6116af0d, 0x66fc10fd, 0x6d339777, 0x8a176eb0, 0x6b422ec4, 0x07b78cbd,
+    0x49821610, 0x0528dc12, 0x2214287c, 0xcc19ee23, 0xe4dd382c, 0xc4d4e8d4, 0xb9770183, 0x83091c61,
+    0xc8468f44, 0xf7c66faa, 0x79d7a4f2, 0x1a1a67f4, 0x566e8861, 0x29480f8f, 0x2e67f6a5, 0xcf5e157e,
+    0x91138005, 0xce18355d, 0xd7c48d1e, 0xa21373c1, 0xe73741bd, 0x21adfeee, 0xbbd96ff6, 0xdb88d430,
+    0x877a1f0e, 0x1fd80fee, 0xde473e74, 0x1633bb97, 0xb63843ec, 0xd853e7ae, 0xff658ff1, 0xc350f668,
+    0xa5a25f8a, 0x2f2cdda7, 0xdf84e71d, 0xee8fe08f, 0xe477fd0c, 0xb351ab2f, 0xefb6d1f0, 0xb6efc080,
+    0xae05511b, 0xaf0898bb, 0x970a86e8, 0x580a5fbe, 0x27af7791, 0x8f30b778, 0x80843c2a, 0x8abb8372,
+    0x9dc8c9c8, 0xde0763be, 0x86873bad, 0x3c9dfafd, 0xf04911d4, 0xbce65a57, 0x3ba0cd9a, 0x633fab67,
+    0x13ef55db, 0xa2d75991, 0x786bd18f, 0x128bd5f2, 0x42c63991, 0xfd90f5eb, 0x2026e117, 0xe49e4dc6,
+    0xa511032d, 0xb5198e0a, 0x2f687b24, 0xc9b0b3cc, 0x5a70e5b7, 0x2e36cb4e, 0x10825beb, 0x8f00e249,
+    0x19aab2a7, 0x0d9867b4, 0x8fc4c291, 0xa8cc3116, 0xc831a0e6, 0xe7ff43c8, 0x2f5381ce, 0x83e9a528,
+    0xee71d55b, 0x9770953d, 0xdc84ed1c, 0x49ec2ef1, 0xfd7fffda, 0x04092e31, 0xb9f2fe1d, 0x03d59bb0,
+    0x2ab0494b, 0x02d2f869, 0x24aa2b9c, 0xc3394891, 0x8cef2e0a, 0xa02ebb04, 0xcc27b880, 0x659250ce,
+    0x4070780f, 0xb2b98bd6, 0x5c430abe, 0x3cd3a866, 0x82cca276, 0x19e8492e, 0x0212a9cf, 0xa49fd62f,
+    0xae373b6a, 0x1f7c9cc1, 0x40c03ed5, 0xc69b3a4e, 0xf7603ebe, 0xcfecd545, 0x01014144, 0x65aec05a,
+    0x76a330f6, 0x84efea29, 0x9c76f42f, 0xf485e8d7, 0xec664489, 0x0adfe5b1, 0x32b79897, 0xf341f672,
+    0x4230d2dc, 0xefbb27e1, 0x934c6d98, 0x7893cead, 0x23ade90f, 0x2f4abbad, 0xac96b0b7, 0xd8ae7cbb,
+    0x5e12ca89, 0x0fda50f3, 0x1699c166, 0x991241c6, 0xd56f41b8, 0x0c0806e2, 0x517732e3, 0x38a81877,
+    0x250ca8ed, 0x5b98a510, 0xf551263d, 0x8220d2c8, 0xc55c6a69, 0x34f9edb4, 0x43a00771, 0x26c0b8bf,
+    0xb48682ce, 0x6c74b6c9, 0xbc1373a3, 0xed56f847, 0xef795c45, 0x81c52f1a, 0x92a90c96, 0x1c96ed86,
+    0xfd0fb5c8, 0x4d1819a4, 0xac053f39, 0x5d47bc6e, 0x9d7e6277, 0x8fa5f8e7, 0x991c6197, 0x189936ea,
+    0x1c9db5e1, 0x73ee8202, 0x91666185, 0x77bf7e44, 0x7cdbf5dd, 0x5e174f51, 0xac52dfa1, 0x17106a74,
+    0xa927ea7a, 0x65de8582, 0xa7645639, 0xe9cad3ce, 0xf10ed3f7, 0x23866567, 0xa6c74480, 0xd7fa58a0,
+    0x8f311162, 0x2e98b222, 0x27c51f28, 0xf0c81b87, 0x91de11cb, 0x6bf63eb8, 0x7bb746a2, 0xedf99f4b,
+    0xb99ebf04, 0xc7592ace, 0x6a5e8c33, 0x9be07b14, 0x26d0be63, 0x9f6e83eb, 0x13874ff0, 0xe19921a0,
+    0xc15aa9c9, 0x65a54ead, 0xa7e0d8ac, 0x18357611, 0x7f572066, 0x0405a271, 0x44d0b122, 0x7ee5c5de,
+    0xb1df39d1, 0x09277704, 0xf1ce6d5a, 0xf66de0c6, 0xea3a1c1a, 0x8c84062c, 0x17ac6a87, 0x98f82dec,
+    0x74817ce2, 0x38c39c98, 0x2550aa75, 0x66366eb7, 0x484f061e, 0xca4b94c8, 0x68c3fcf8, 0x6ed5f9ee,
+    0xf3d10636, 0x524bab63, 0x82369fb1, 0x967eff1d, 0xf4583054, 0x1fdb6a80, 0x0252c1e1, 0x25e14f2f,
+    0x1071b105, 0x02acda6d, 0xf9cd6031, 0x1b9c769f, 0x3b0e3a0b, 0xbeef10f8, 0x51a19507, 0x43f5447c,
+    0x67752012, 0x163334d1, 0xd0fc9271, 0x00ea7112, 0x973485c5, 0x94c268c7, 0xb3c6e172, 0x88345f2a,
+    0xc2a8ed27, 0xdec1d481, 0xf720e762, 0x791a3268, 0x184c66d1, 0x392f72f7, 0x59e62e73, 0xa0a5d27a,
+    0x0a5883e4, 0x64451dd4, 0x3a7b0bc8, 0x243c3901, 0xb3705c99, 0xba3d610b, 0xbab011b5, 0x9a2bbd2d,
+    0xa472bd4d, 0x01c20e17, 0xa080b4f2, 0x22092bef, 0x946ad821, 0x8009ac6c, 0xeaf731db, 0x25b4440b,
+    0x55411494, 0xe3fdfbad, 0x32367c04, 0xa4cdea91, 0x5100944f, 0xc44ff02f, 0x9c4e471e, 0xfb400490,
+    0xb2c64e97, 0xc97c38b9, 0x62cbc3db, 0x932987a8, 0x9cbb6782, 0x8e5cc961, 0x0b866fe6, 0x639c76e1,
+    0xa30a9a72, 0x4fc59531, 0xc476b8fb, 0xa2dc29e0, 0xaaa8cea7, 0x393cb8ad, 0x578346a1, 0xe2bbcc9a,
+    0x76cd9c2d, 0x279f2d64, 0xeab8435d, 0x78dc9a27, 0x522db4d7, 0x1d088087, 0xe23991a8, 0x0f7ab2bc,
+    0x98a58a4c, 0x670ef9b3, 0xddbb59da, 0xbfc04bf5, 0x67b8a098, 0x2eac6a1d, 0xc4b2c147, 0x733674c8,
+    0xf2e898b0, 0xa1064798, 0x460f8258, 0xd39ef7e8, 0x44e737cc, 0x12f70446, 0xa3de6a56, 0xb5b91eb6,
+    0xc43d4902, 0x6f602ae7, 0x20b50f9f, 0xbe9aed83, 0x4015c155, 0xa1fd1bd1, 0xd66e7d04, 0xb49e6e83,
+    0x198def3f, 0x83458e0e, 0x145e7ec0, 0x379519e1, 0x54ba1a06, 0x579d7301, 0x20c0fe14, 0x504f8fa8,
+    0x0d93e8d7, 0x7b72724a, 0xf04294af, 0x8a98fa0a, 0x3181e08d, 0x298d8319, 0x63c0def2, 0xce8ecbf5,
+    0x8be95019, 0x662dfddf, 0x65275e70, 0xc965010b, 0x67b63c31, 0x32facc9f, 0xbf582b03, 0x74a39008,
+    0xc72e7548, 0xe726c15c, 0x6689b06f, 0x56599337, 0x76dd62a4, 0x48220223, 0x10d87c06, 0xb0dd4b59,
+    0x2ad1c11b, 0xcd108c2a, 0x2f31cb1c, 0xeaa2befb, 0x3105724e, 0x554fac9b, 0x2836816b, 0x19667a74,
+    0xe280be53, 0x45142cb6, 0xedd3c79c, 0xa6c83407, 0x588dfa32, 0x38b29797, 0xb08399dc, 0x62b6cc10,
+    0x04f30799, 0x0077b947, 0x72b52640, 0xd167b3b0, 0x31dd423f, 0x98985f81, 0x8b7436b9, 0x6704dbde,
+    0x35450a26, 0xb3761550, 0x6db311ea, 0xa878ae78, 0x4d8cf1a6, 0xc80cf26c, 0xc08cd8c4, 0xb4fd34ef,
+    0x7bf73615, 0x2de73384, 0x4334f01c, 0xd3cacc71, 0x0c6f0e8a, 0x2d8473f3, 0x8609f5ce, 0x1f1e72b4,
+    0x791be188, 0x9e179b4d, 0x7ddac560, 0x0a9e7797, 0xbf21be45, 0xd4b029d1, 0xfd14ff22, 0x8809f5ea,
+    0x3f70c122, 0x12d853fc, 0x973bfaf0, 0x87f4405a, 0x7faec281, 0x1c00a0ef, 0x2c6d5828, 0xeb6564d0,
+    0xa956a064, 0xa3dea91c, 0xf4609113, 0x2453d5b7, 0x91cffddc, 0x8a8976f3, 0xc861aa9a, 0x5bb37453,
+    0xdc2ed285, 0x37ea1bb2, 0xddcf6f83, 0x937f43a8, 0xdd751d07, 0xb4942fa1, 0x01f34c2b, 0x19384594,
+    0xb0f10f11, 0x07e11d81, 0xbee51b25, 0xcb5c21b7, 0x7c4cec82, 0x698304c0, 0x6d115e65, 0xad08726b,
+    0xa2a71765, 0x35da6fa8, 0x7754ecd2, 0x5d01377d, 0x5cf2af59, 0x40ab6c79, 0xb1fbdbcb, 0xba348847,
+    0xef5cd3ba, 0xd240bb60, 0xb226b47d, 0xeab3f008, 0x056fa281, 0x0b2af639, 0x243750ac, 0xb8f7e6ad,
+    0xbabaca90, 0xfb845248, 0xec45faa1, 0x56daafee, 0x66ecd4c1, 0x3843626d, 0x6b6b1de1, 0x762506e5,
+    0x68185f5b, 0x1cf96fe9, 0x07c678af, 0x333abc14, 0x5e02379c, 0x46e98b3f, 0x32298b4e, 0x22acb376,
+    0x0404e688, 0xb4df188f, 0x1d2bd729, 0x43568601, 0xefb95566, 0x696a7e18, 0x671100eb, 0x0b3cfb03,
+    0x2b79798f, 0x1b753d7b, 0xd3312ff8, 0xaa43c84e, 0xbc223c4a, 0xade7c527, 0xef478d0e, 0x8521e3d2,
+    0x406a7058, 0x1ecd4d6c, 0x2badac66, 0x96972e79, 0x478784ff, 0x69b2a807, 0x621ce551, 0x3d057f2d,
+    0xbb34dad3, 0x94c9fcda, 0x0aec449f, 0x52aac1a8, 0x46c86f9c, 0x08df6f46, 0x4748f428, 0x36d1c0ad,
+    0x45f3bcf1, 0x6a1082b0, 0xdefba5f7, 0xa4cdfbb5, 0x2cef386a, 0x64ecce49, 0x9ed3a31d, 0x044b58d0,
+    0x9963f5ec, 0xcb402198, 0xacf668a3, 0x33c01757, 0x9e3ebe74, 0x18ace5f4, 0x950e107d, 0x746b8b9f,
+    0xfd461a6e, 0xcc212b0f, 0x97c4f92d, 0xee813f30, 0x77513095, 0xb31c906c, 0x7c1f69ff, 0x0ca05792,
+    0xb73f946b, 0x2279eb7b, 0xe37eecd2, 0x3f4cc56f, 0x274c4fab, 0xd2ea2760, 0x3bbd2dc2, 0xc12731d6,
+    0x0c72488d, 0x829e87e7, 0xdb482200, 0xe45a422d, 0xb237816f, 0x51828b95, 0x018751cc, 0x91efc382,
+    0x4f54b85a, 0x0fbf1b1a, 0x273ad545, 0xbf3d0dda, 0x47d2bd3a, 0x1e4a2149, 0x75988661, 0x817e5fcc,
+    0xb3b26002, 0x67d072fb, 0x30cb1ae9, 0xf3638174, 0x0d7c8d0b, 0x2da81101, 0x576145b0, 0x62930bc4,
+    0x5fb79095, 0x84df47d4, 0x521c5a6c, 0x4ead4cfe, 0xd7fd5cf8, 0x0eb128e4, 0x37530d9e, 0x26d7e703,
+    0x2486422f, 0x550016d9, 0xa68714a6, 0x28cc313c, 0x9fa19503, 0xede94e1e, 0xb6264c79, 0x0d38662f,
+    0x8d378ab9, 0x2ef1ebab, 0xd431e864, 0x19f64d4d, 0x19f83393, 0x74dabbe1, 0x01bd057f, 0x62499ffd,
+    0x2d0dffaa, 0xac827d33, 0x3a8c27b3, 0x2ccf8b7a, 0xd1878e28, 0xf969492b, 0x548c0a75, 0x339c86d2,
+    0x3667abf2, 0xd867f163, 0x25f49ca3, 0xdef93f6e, 0x4beb0faf, 0xc3b42626, 0x551a58c6, 0xaf1b9fb4,
+    0x95d19244, 0x1217f617, 0xd68364a9, 0x85a3894f, 0x92748ae3, 0x160cb108, 0x542ea879, 0xc1160937,
+    0x00000000,
+    0xa3e747c3, 0xa1fbd3ba, 0xf0b3a0cc, 0xd590105c, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5,
+    0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000043745014495660238487450\
+                         04454235242730706338861786424872851541212819905998398751846447026354046107648 */
+  { 0x00000000,
+    0x891dcd8a, 0x0a58c832, 0xaa0fd4aa, 0x98767b61, 0x965aa48a, 0x1c01f269, 0xc6e05677, 0xf2f48ff0,
+    0xdbaf28db, 0x0c83dba4, 0xaf6fe396, 0xb93413ae, 0xda46afa0, 0xd22d4a32, 0xefb9627b, 0x3ca0e270,
+    0x2b40ee06, 0xdfc75fc2, 0xd4f89626, 0xc10ffbd9, 0x682f7c81, 0x355059d1, 0x714ab773, 0x85253396,
+    0xf9095f29, 0x1b817fac, 0x7d7a7430, 0x7d1a82e8, 0xb195850b, 0x152f1fc3, 0xd4e9aa66, 0x84635eb7,
+    0xe39186dd, 0x58bac699, 0xf9eba75a, 0x2bf98111, 0xb5a9ae59, 0x2667f298, 0xa2676ef2, 0x6605bb14,
+    0x0dd621e2, 0xb6134b8b, 0x7d54f9b7, 0x1dba6c98, 0x0e73f001, 0x8e9e662f, 0x7dad663d, 0x65676e02,
+    0x0287a362, 0x18cced6b, 0xf8c78250, 0x13ddde1e, 0xfe5bfa16, 0x6dc108c8, 0xdf0eff21, 0xe3cec663,
+    0xfaf786c3, 0x9e642d98, 0xd244f873, 0xbb4fe7e7, 0x7f020a06, 0x11f6f26d, 0xf1f6c150, 0x07e2e274,
+    0xe54ee31f, 0x5b2579e4, 0xd154e5fd, 0xb486808e, 0x90450490, 0x6be13cfa, 0x91c24b03, 0x0487425c,
+    0x86f699d0, 0x92eb39f9, 0x13303c4d, 0x3a9f6824, 0x0d82eadd, 0x993409bc, 0x9512819d, 0xee343bb6,
+    0x2af90d7e, 0x6be58def, 0xb5d2073b, 0x1004f8e6, 0x346107f8, 0x4853134d, 0xc2176c66, 0x5657640c,
+    0x3d388ac2, 0xec4adcbc, 0xea7d9ff8, 0xe9898de6, 0xbd7f5be4, 0x79a5ce44, 0xf9fd256e, 0x481afc12,
+    0x440c99da, 0x7b3e1266, 0x515c133a, 0x714707aa, 0xdeaed091, 0xd8353169, 0x231562b6, 0xc77cd7a8,
+    0x296b11d2, 0x8e7d7a98, 0x06f82335, 0x647b222a, 0xfcd0ad3d, 0xc14dfa9c, 0x20d2fc54, 0x63df1b23,
+    0x2ce7638f, 0xb23fe90a, 0xe9075da4, 0xe2389df7, 0x89ed549e, 0x211be10c, 0xc8aac8aa, 0xed2062cd,
+    0x11116f14, 0x657f771b, 0x9a07b563, 0x57fb7313, 0x4b72c0e5, 0x191c0c9d, 0x120abcde, 0x79e17609,
+    0x0a7cd24e, 0x81b03ce2, 0x1aaa99c1, 0x1e42b9d1, 0x10d30291, 0x815eb8ed, 0x1da14ac4, 0x167655c8,
+    0xbfe41252, 0x193df1c5, 0x27451094, 0x314a9186, 0xa34fe0ff, 0x5fc56e57, 0x905a4b1b, 0xddb4cd77,
+    0x99910ec9, 0x378c2b3e, 0xd31bec47, 0x2ca4373f, 0x20b38013, 0x8e65f51a, 0xa36e824d, 0x8543d5ba,
+    0xfa6ebe94, 0x3fd55726, 0x18e85491, 0x81cfeb80, 0x03a8d542, 0x351f5a06, 0xd90ada62, 0xdb26b846,
+    0xc33b252b, 0x3aa7e40a, 0x05121574, 0xd4022aa6, 0xc944f8e0, 0x43a7d66a, 0xd6e9fdf0, 0x756b199a,
+    0x322589a2, 0xf192485d, 0x24f451b6, 0xf708ddbd, 0x2c9839f0, 0xf1f7d53f, 0x16e92993, 0xc7ea7247,
+    0xa436a433, 0x1815ac12, 0x153865f9, 0xfa86149d, 0x284d9103, 0xd38f82c9, 0xee489c04, 0xfdbbd488,
+    0xb95f051c, 0x6a5444d6, 0xd85aa1d8, 0x56d7a9c3, 0x39de261f, 0xb28d9df8, 0xc7d161c7, 0x4392536f,
+    0x16b6c24e, 0xc5b35242, 0x022c3007, 0x46669a3d, 0x7dc4af08, 0x00f3cd10, 0x072a7a75, 0x47a1f02c,
+    0x36af19de, 0x953c5318, 0xdf253600, 0xd0de1138, 0x7ae31b5a, 0xdd0d769a, 0xf8e389ac, 0x692860e5,
+    0x35e3ad42, 0x09cf99fa, 0xfecf9d11, 0x16d0e695, 0xfe71e84d, 0xb5772eb5, 0x1fda2c8b, 0xf269644b,
+    0x86526081, 0x09bfba0d, 0xedd00bf8, 0xe5cb42b0, 0x57ab8da7, 0x50526cbd, 0xbe4e256e, 0x2cd85af8,
+    0xe6d8a995, 0x00cb52bc, 0x13e55d72, 0x780af6de, 0xdae4f9b5, 0xc7477286, 0x7fa5af6b, 0xf6f515f9,
+    0xadd36b2f, 0x2ce9f128, 0x13110780, 0x9073b3f3, 0x1b63423b, 0x6e3665e4, 0xb329aa2c, 0x6cfe5387,
+    0x2e5e20c4, 0x037f2315, 0x9d90e9ed, 0x36459ba6, 0x318cf0c1, 0x86d85c63, 0xef620895, 0x2f96feac,
+    0x71dd70e6, 0x329d3c42, 0x99ba40a9, 0xb2bcdf01, 0x2b48bcff, 0xba872dc6, 0xc3bf51d7, 0x050b22fb,
+    0x206b0546, 0x508aaf5c, 0x9622d67d, 0xb7f74156, 0x7d906d7e, 0xcbe65887, 0xcaa0d979, 0x99f604a9,
+    0xb8f4008e, 0x7a6a03bd, 0x05f5611a, 0x5289ff84, 0x019f44ea, 0xb44b58a3, 0xd9ba428c, 0x74127643,
+    0x13fe5b89, 0x9599b8f2, 0x9fca0f8f, 0xfa066f19, 0xec7d408d, 0x99238bad, 0xb749529a, 0x8bac4992,
+    0xf48a6149, 0x0055e5ed, 0x52501ec7, 0x7cc1be75, 0xba503c5a, 0xe055f5c6, 0xd1efdfe8, 0x4a734581,
+    0x8593684a, 0x780ebc97, 0xcfdcdc4f, 0x8f99a7f2, 0x95600dbf, 0x4e27ce80, 0x645a17e0, 0x9d30b21f,
+    0x90a29e21, 0x5de9642a, 0xe98e6c66, 0x19a2c7af, 0xecc34d0e, 0x680a003b, 0xacfabf98, 0x127108c7,
+    0xf6407afa, 0xd00779bb, 0x73a43321, 0x19dc98f6, 0x50e6c1bd, 0xa9fe73d7, 0x2fba2174, 0xf9c9a872,
+    0xd18f1aa9, 0x22039464, 0x8a818046, 0xbd239a59, 0xf72bb41b, 0x8f9332cb, 0x3b12618f, 0xfa497d49,
+    0x9316d74c, 0x84976f38, 0x983f193f, 0x4db60974, 0x5b807ada, 0x03adcc3d, 0x5c7dac53, 0x3e0b9afa,
+    0xf780baa0, 0xfa0e4f4a, 0xef836b05, 0x26cff63a, 0xb9e84756, 0xed1d3d4a, 0xd151d015, 0xc9670a65,
+    0x3f5e2f75, 0xb645bc12, 0xff3cd202, 0x30703210, 0xf3a3d6bd, 0x6f7b843c, 0x3f5b8a3b, 0xfb3caf07,
+    0x10c0e3a5, 0xf2d2dc08, 0x721cf410, 0xeb19ed0a, 0x847b827f, 0x5ae71b1d, 0xf0d31fa8, 0xefa392f9,
+    0x91e3a7cd, 0x8b78454f, 0xecbaf26c, 0xb1c89568, 0xd522e76e, 0xd1ab5a75, 0xcfe4435d, 0xa390fd1f,
+    0x1f44a76c, 0x43235249, 0x3206aa23, 0xf21f1a67, 0xd003ec64, 0xa014edfc, 0xc696413e, 0xeaa1c890,
+    0x969555f3, 0x39a4e335, 0x113d85e7, 0x8eb9a04d, 0xd0dea445, 0x01c9ac1f, 0x573e286d, 0x89d2336b,
+    0x05495de3, 0xefaf6682, 0x71a8bd71, 0x480ebd4d, 0x1872ebd7, 0xeb9979c1, 0x5576bccf, 0xa02ede96,
+    0x5392853c, 0x90aec513, 0x9100241a, 0x0ca68b05, 0xd0f3299f, 0x8355ffd5, 0x9b34c4e0, 0x97fe4151,
+    0xc4b23b33, 0x60e01926, 0x78dc01d6, 0x5a97729a, 0x0ac921e9, 0x653e939f, 0xef9e4f24, 0x1d555861,
+    0xf7ae0732, 0x65063f68, 0xb03f53d3, 0xbc3a336f, 0xc5e55802, 0x723c50b7, 0xcc622fe0, 0x9af657c8,
+    0x2a11b9ce, 0xf5fa254c, 0xdb36251e, 0xe41e4c8b, 0x32e22591, 0x26f53806, 0x2aeefae1, 0x95e016ec,
+    0x323a3c8a, 0x54258612, 0xda94af87, 0x96cf760c, 0xf55f7bde, 0x20010752, 0xe96ea557, 0x26aebc9d,
+    0x9398da5e, 0x07b63974, 0x2aeae140, 0x32becad2, 0xc9aeb7f9, 0x153529c2, 0x6b463bd4, 0xb30cf7a4,
+    0xf629e751, 0x44f05431, 0xcac69197, 0x9a852930, 0x0c2da474, 0x435e015a, 0x9bf6886e, 0x25caa73b,
+    0x0580700d, 0xf022bc67, 0x8fc039dd, 0x288c70f5, 0x70323267, 0xd0646137, 0xd36c621e, 0xc3650eb4,
+    0xd125e235, 0xa2c5c4d9, 0x773f3321, 0xf6429f1a, 0x12c7aebb, 0xde9186c5, 0xfcfb549d, 0x46b6cd04,
+    0x71b0630e, 0x6dcf9086, 0xbef4e04f, 0xf2f3714c, 0x89eb92bb, 0x0cf68111, 0xef9f2416, 0x6672519a,
+    0x4af9058d, 0x6042e799, 0x650935a5, 0xc6eeaa8b, 0x1829adc7, 0xb2f2a04c, 0x24dbb273, 0xb4f04df2,
+    0x22fa069e, 0x01d432b2, 0x2f1ba559, 0x14c5d4ab, 0xc9945d1a, 0x6330504f, 0x2fbcc7c8, 0x1b011463,
+    0x00abfc92, 0xdebd31ee, 0x3f490293, 0x2f98d0fd, 0x532834f9, 0x8303fadf, 0x99a2a075, 0x808aebe5,
+    0x50fffe8c, 0x70ebb99a, 0x81b1923d, 0xf67c0d0d, 0xf4fffdee, 0x9684b82a, 0x09f3ab1d, 0x40aafbac,
+    0xbc89fddd, 0x227495bc, 0xce3bc8c6, 0xb36fe519, 0xd90fa09b, 0x6a891202, 0x2f2b3d29, 0xf936df4d,
+    0xbb46812c, 0x9498221d, 0x07c979f6, 0x3c55216d, 0x642c804f, 0x1bc2ca31, 0xcc253cdc, 0x2efee6c5,
+    0x952716e7, 0x2d45767a, 0x8373b469, 0x4052a9ac, 0x9f24578b, 0xabc7f201, 0x9158d34e, 0xe2fbcb65,
+    0xe03fa229, 0x7525415d, 0xb532b5fa, 0x925fdcb7, 0x10082628, 0xee42dfea, 0x63cca8ab, 0x8deb6723,
+    0x9c635f94, 0x439c1b6c, 0x5b2c021f, 0x0fb0cf57, 0xf9e7ce4d, 0x56b6e5f8, 0x844f09b1, 0xde7947f6,
+    0xf1741fcf, 0x04dbe727, 0xdab5a3f5, 0x743e944a, 0x4212b8fd, 0x15d6e6cb, 0x685fb307, 0xec96a0cd,
+    0xbaa17e5f, 0x630290e8, 0x180d7a37, 0x24eee9f9, 0xfd5bcc72, 0x71a0c452, 0x86349fb3, 0x1c903482,
+    0x8a1e6c6c, 0xfbf68caa, 0xff953b35, 0x72b231fc, 0xdf4a7554, 0xd3cdc9fe, 0x0b9d9240, 0x38f059c2,
+    0x9df05f67, 0xfb39ca21, 0x0cc45aa2, 0x51eba1c6, 0xe31ec5e5, 0x86a744da, 0x0ff4ee6f, 0xb7dd8716,
+    0x943c4d76, 0x002c8f39, 0x432c4b63, 0x032bd0a7, 0x8bd33ed6, 0xcd15cbcf, 0x3d674ecb, 0x2fa7d92b,
+    0xfe381bb1, 0x7b21ecca, 0xacaeaa8f, 0x47c12f94, 0x5f30b7a1, 0x4c93e85f, 0xaf705328, 0x0cbd313c,
+    0x11715125, 0x4c15f4ee, 0xf066919e, 0x35cbe1e0, 0xab8cbff1, 0x179818b3, 0xf18e0bcf, 0x79d63f3a,
+    0xa1c99b41, 0x57a16b65, 0x4a0fce6c, 0x55e76bf2, 0xb8f95b59, 0x20c9d7df, 0x1d84c7db, 0x42d6bb1c,
+    0xb7089930, 0xedea7fb5, 0x3e883d5e, 0xbc2d1042, 0x4fe218be, 0xb05914ee, 0xd8a5b71a, 0xed71f186,
+    0x50091c89, 0xd08716ea, 0x61e7b937, 0x654ec0bb, 0x3c8700b5, 0x8a5d5c31, 0xe7926f1f, 0x191b784d,
+    0xb4d0b360, 0x836a3daf, 0x44c46b77, 0x1389a5ac, 0x1119b61f, 0xf486f953, 0x91749a07, 0x8ff260d7,
+    0x2d7d0902, 0xfd77e7d4, 0xd5b54375, 0x5872c978, 0xdff3aed3, 0xa31a16ba, 0xc0988be0, 0x983a5926,
+    0x209257e8, 0xa94ee805, 0xe70df543, 0xd0b033d3, 0x8b808d09, 0x2d7c5f98, 0x4419cce6, 0x94c90b76,
+    0xda9e151e, 0x5b9a2e8f, 0xd5669e15, 0xdffbc0a4, 0xbc35f058, 0x1cf23c9d, 0x5bff5b9c, 0xf22dc5e4,
+    0x297d6a78, 0x7c4cd850, 0xb9dec290, 0x51351e6f, 0x6c38ba46, 0x5e2dfd25, 0xb800dc2d, 0xebf0ea1c,
+    0x14703360, 0xee0ff825, 0x260740f3, 0x8f1e840e, 0xc1bd4296, 0xd9541804, 0x091185c7, 0x781c3486,
+    0x22895a18, 0x97aa8f9c, 0xc5ed29ef, 0xd0ad003a, 0xd80550a0, 0x34d39a36, 0xd49897c8, 0x17e73366,
+    0x170d61d7, 0x4ece9be4, 0xb26b4a5d, 0x312ead6a, 0x8bcdbee7, 0x621932d9, 0x6ff5048a, 0x031e92f6,
+    0x24f9c683, 0x8e1c3cc5, 0xc17bf716, 0x4facf32e, 0x7b9e463e, 0x7fa6f742, 0xc1fc0dff, 0xec566f22,
+    0x91923f31, 0x79483d56, 0x87e8019f, 0x316d0c9f, 0xd8df6842, 0xe10219b2, 0xd15120d6, 0x7097b84e,
+    0x5a75364c, 0xd059b8ab, 0x41b751c9, 0x597d00d3, 0x317a4ad5, 0x63ae8a49, 0xac90c720, 0x8d2cfa5d,
+    0xe18e4d54, 0x31f79ee4, 0xafa82f75, 0x382e63b4, 0x8e99634f, 0x288f8224, 0x0db576fd, 0x232c6b0e,
+    0x8b19a3ce, 0x54f9ba31, 0xc2297a1b, 0xb1b3d7e9, 0x1ef3359f, 0x658ff19c, 0x3ccf83eb, 0x637d7073,
+    0x3ce5d13b, 0x691af17f, 0xfd9f6dd2, 0xb7480759, 0x2ed48ac1, 0x527d5767, 0xefa22d2b, 0xaf967853,
+    0xa9e545ce, 0x8e92a40b, 0xf23efdab, 0xfc16f48e, 0x3e2fdc64, 0x09bce9dc, 0x4e7c7580, 0x0d239f69,
+    0x2833fad7, 0xa546af5d, 0x9204a29b, 0xf041c567, 0xd6be90fd, 0x225969e4, 0x5dab225e, 0xdec6fc3a,
+    0x18cc6d56, 0x022ddea5, 0x313cf840, 0xe873104e, 0x4128fd2e, 0x77fb2751, 0xe25bade4, 0x5c9f791b,
+    0xb0d49d9e, 0xb6d7ea99, 0x1bcb3770, 0x65ecf972, 0x3af76d66, 0x1ed34ed7, 0xa2a6a465, 0xd1b4dfd4,
+    0x2925aa06, 0xdebefddf, 0x06d2fcc7, 0x11c4cb71, 0x2f3d2528, 0x5ca4d068, 0xd8ff398b, 0x616c0b96,
+    0x5bdb0f5d, 0x878f74c5, 0xf63bf853, 0x1fbe4d1e, 0x6de29b3b, 0x5294dc0e, 0x48c619a6, 0x846987cb,
+    0xfe29cb11, 0x7826bfb7, 0xd23a8a32, 0x019eb4bc, 0x79a0fb1b, 0xb20522a0, 0x41026c99, 0xb79b6655,
+    0x5b984ee7, 0x3121a8ae, 0xffba7598, 0xed1cb380, 0x2d75c25a, 0x81c8281f, 0x94c046f5, 0x17169b0b,
+    0x3f182cf6, 0x1684a8b6, 0xbb64430d, 0x9d4d8560, 0xeef0018e, 0x392a31e7, 0x9a876787, 0xfe849905,
+    0xc7ab24f3, 0xd785c5b8, 0xcdf2153f, 0x98406917, 0xb15efb85, 0xbbb33ea7, 0xf7c52c28, 0x37921b60,
+    0xb891ff86, 0xd01f6610, 0xbcbabc48, 0x95b8a661, 0x70980b6b, 0x64c4be0a, 0xb2d58de8, 0x1d887c47,
+    0x7a914aa7, 0x164fbff8, 0x34a52564, 0xa537c99a, 0x53aaee54, 0xc1cebd23, 0xdde5d48e, 0xf50901b7,
+    0x3fc31ef5, 0xe3de9447, 0x32955813, 0xcbf73329, 0xaaa6e098, 0xe6ba7cc5, 0x73969179, 0x422c3d6a,
+    0xcd6b9875, 0x675eb582, 0xaa37d954, 0x9c8fb82e, 0x62984a9e, 0x616c7af6, 0xf3f3fed4, 0x1477f40d,
+    0xb97cbbc8, 0x8afa0df9, 0x9f57d3fd, 0xd771b717, 0x861b6f11, 0x321f79bf, 0x500166d2, 0x5dae2241,
+    0xdab9f9df, 0x52a29681, 0x0fd49807, 0x56ff6f2d, 0x2217f7f9, 0xb3c8da69, 0x91909c88, 0x48f78fe2,
+    0xc67e52d3, 0xe2e4af44, 0x5ba8ee1c, 0x8d064f5f, 0x2beedd2a, 0x76ca7641, 0xb77e843b, 0x87fdc1af,
+    0x5ba2ee4f, 0xfaa86f3e, 0xc569ef5f, 0xe4599a3c, 0xa88c36e9, 0x452bb1a6, 0xa2b3478a, 0x1334cfd3,
+    0xfd94ff4f, 0x24241516, 0x27efa686, 0x5b11d4f1, 0x2c2d7df0, 0x36ff3743, 0x395936ef, 0xb9183210,
+    0xd1eabb06, 0x5edfa1be, 0xa57035e1, 0x1e5ee138, 0x9ff11a2e, 0x8d4eaff4, 0x16e13f0d, 0x52b12f9d,
+    0x367520e2, 0xd43bc7cf, 0xe679f7ac, 0x64880021, 0xe0e7a57a, 0x7b412e6b, 0x74d59988, 0x0ae8ccbb,
+    0x6c28dc3d, 0x2e771659, 0xb2273d51, 0x0fa6431b, 0x2b993b98, 0x0418a1d4, 0xa34a3362, 0x186e5d8d,
+    0x6d6e8445, 0x6f80728e, 0x1246f868, 0x23d1f7d9, 0x6a0dd10e, 0xe29de8c9, 0x7069ec10, 0xb04f9f8f,
+    0xd5a4be25, 0x1e201b8f, 0xbc95cfb5, 0xed1d3cc5, 0x34679bf8, 0x592b4ae5, 0x92c07ff2, 0x65bed453,
+    0x5df0eea5, 0x369f1b17, 0xf7050016, 0x7140a1a5, 0x1a3dfd05, 0x9ac5830a, 0x5569c5f8, 0xc1d12c74,
+    0x0e318fd4, 0x09423b5c, 0x01b916b8, 0xab17e1c5, 0x4816a1b3, 0x6894a670, 0xca0d47bb, 0x31fdaab0,
+    0x5d23fb67, 0xfaec20d2, 0xec246216, 0x0e7da1bd, 0x35d346ae, 0x8e04470a, 0x628b8ca0, 0x1af2d722,
+    0x2f74468d, 0xd76b48e0, 0x6023cb72, 0xb38faf83, 0x000e238c, 0xe7159ed0, 0x00e0ebe9, 0x009e651c,
+    0x189c3438, 0x33beb75d, 0x2e83156c, 0x1d41c0bb, 0xc82ea9c5, 0xc433a0ec, 0x8e2d4e36, 0xe2ae0e26,
+    0xf5b8d825, 0xe5f4423f, 0x4eaf50dd, 0x19c9d132, 0xc7a192d7, 0xba8ee19d, 0xbec5995b, 0x23eaa545,
+    0x2fca5db9, 0xf600eb3c, 0x19069e7e, 0xfb48d2c1, 0xab169a3d, 0x52623aba, 0x164d4fae, 0x0560701a,
+    0x5559e5b8, 0xd72537d6, 0x72b42001, 0x1187b80c, 0x19b7e1cf, 0x9e451977, 0x4c832763, 0x3f315cc4,
+    0xe01a8421, 0x1f674ba7, 0x429d6c20, 0xa2b5fc6e, 0x42840a62, 0x54f1be9a, 0xf3626fe4, 0x79400db7,
+    0xc7dcca42, 0xd5c546e4, 0x933c83f1, 0x56f2b329, 0x1bfd1eb1, 0xf02d7eca, 0x86adb000, 0x40eb122f,
+    0xcc37c0bf, 0x5843fa07, 0x94333ede, 0xf1b6ca6e, 0x13148bdc, 0x6b80616a, 0x405b05d9, 0x9d35c9a0,
+    0x00000000,
+    0x51f3a3e1, 0x50fde9dd, 0x7859d066, 0x6ac8082e, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da,
+    0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000021872507247830119243725\
+                         02227117621365353169430893212436425770606409952999199375923223513177023053824 */
+  { 0x00000000,
+    0x39bb9fbc, 0xa6d21e22, 0x63cad3c5, 0xedab6c6a, 0x85ebe91b, 0x6c55461e, 0xa25c3fae, 0x1bf541f1,
+    0x573d82c1, 0xb575fc4c, 0x206f5e41, 0x8b3229c9, 0x8113120a, 0xff204fb6, 0x960afab4, 0xc3665218,
+    0x56b21ab7, 0x44c16ba7, 0xa1b25730, 0x0841608b, 0xba7fb572, 0x4da7ebb3, 0xd59fb698, 0x66a62ea1,
+    0xcadc94ba, 0xc272f03e, 0x50d3077b, 0xb5794d76, 0xdd96a22a, 0xacbb94a7, 0x7c452e74, 0x19ea2446,
+    0xd607d876, 0xd27286ef, 0x45d994fa, 0xfb8ad5ce, 0xe346a39d, 0x470afb72, 0x2d9c7fe3, 0x0e43728a,
+    0xd0926e50, 0x7ee8d620, 0x1c5f6322, 0x1b5aad5f, 0x0cf9ff34, 0x21571eec, 0x418b7b6b, 0x2ef991be,
+    0x8cd15569, 0x5c6cd28b, 0x8f4e64f3, 0x527c40b1, 0x20c9f72a, 0xce9b2f5c, 0x0f071839, 0xa50ea581,
+    0x019f3853, 0x68abd76b, 0xe5d15fa5, 0x15ce8a0e, 0xf1fd43ec, 0x01099d49, 0x083d40d6, 0x7d6c9097,
+    0x32a5e8e5, 0xdab7426a, 0xe3e4bb3d, 0xe27af21a, 0xa8e334c2, 0x7c462507, 0xb1b608e0, 0x189acf78,
+    0x4526dd7e, 0x903877f1, 0x71b85569, 0x4acc1de3, 0xfe3d1bd2, 0x1e56efb1, 0x2ca824cb, 0xca8005f8,
+    0x4629814f, 0xd66f5527, 0x4d6eb3a5, 0xd9e02cb7, 0xdd42226d, 0x56f7c511, 0xc1fd58b4, 0x4a0207df,
+    0x2d55f2b7, 0xb50ce324, 0x5d76790c, 0xe5dfaa82, 0xf207f683, 0x7d977cb8, 0x2d8cd8f8, 0xdeae32f1,
+    0x155d3250, 0x978f623b, 0x6572e33e, 0x11f70184, 0x5bbcaf21, 0x6255cb44, 0x2c0df9e2, 0x55a62687,
+    0xcaf04246, 0x18667d33, 0x17693837, 0x5456195d, 0x42d05553, 0xeb3cdd95, 0xc844dbf5, 0x17a227b8,
+    0x8aca5041, 0xf0dade6c, 0xcb11a187, 0x02716fb7, 0xf5244518, 0x748ad6be, 0xa19383cb, 0x4e1882b1,
+    0x0e5805d8, 0x1062333b, 0xb10692dd, 0x788a9316, 0xd595d377, 0x9e3556e0, 0x059b64c0, 0x13b7ef0e,
+    0x306774d6, 0xed28633e, 0xb7f6384c, 0x28d7e27a, 0x80f27abe, 0x5d33e176, 0x7d7bc991, 0x336fdd8f,
+    0x9355d43f, 0x0db49dfa, 0xeaa755a0, 0x0933e604, 0x59b3efa7, 0xe5eae7c4, 0xf8c13aad, 0x6073e745,
+    0xba3eb158, 0x69960cd2, 0x669c79f7, 0x56331e57, 0x50f8678b, 0xaf33fb63, 0xa19529ff, 0x6d43b6d9,
+    0x129a2b7f, 0x20350596, 0x9ec98ff3, 0x5bab74e5, 0x3acf35da, 0xd4446071, 0x3910bda2, 0x4573af3c,
+    0x3119a187, 0xd473ad75, 0x0574329d, 0x3919dea9, 0xeef83bb5, 0xd3888c57, 0xb35f1dfe, 0xb81df5a9,
+    0xe8606270, 0x2271f930, 0x552f6c59, 0x563062c3, 0xe39d8b41, 0x35c09f2b, 0xa0399523, 0xe8c26ad3,
+    0x47a2ef00, 0x824ca0da, 0x37ba4c53, 0x661247b6, 0xdf376989, 0x2abe55dd, 0x2dced7ed, 0x9bc911c3,
+    0x157cafd0, 0x1ab2c293, 0xd5ae2ff2, 0x4e60231c, 0x21b043da, 0xd9b45a11, 0xec2fe2f1, 0x5b1b18c7,
+    0x5b417ac3, 0x9c98f7d0, 0x00ce2110, 0x28de21a2, 0xd395d070, 0xd67af8d0, 0xc2d4723f, 0xe69bf978,
+    0xa6225ee4, 0x422883a4, 0x64ceb239, 0x767f53b8, 0x5fead448, 0x69df7df3, 0xa92e9aa8, 0x28d708f6,
+    0x278014f1, 0xa2ab120c, 0x64b5e3d5, 0x3c300efc, 0xf6adaea1, 0xf1f3eea4, 0x17625901, 0x04f209e7,
+    0x861c8d29, 0xb0fd12f6, 0x9a77d8c9, 0xc60b6833, 0xb44183b3, 0xa7b3d4b5, 0x086ac2d9, 0xbe6d6011,
+    0x7ab00e0e, 0xe683591b, 0x6d7b0fdd, 0x5304def0, 0x6ae0c357, 0x2e36d263, 0xa0aeb04e, 0x3854262a,
+    0x8a2f34e2, 0x42266bef, 0xad0831d6, 0xa49d23f5, 0x21cbe607, 0x587a0a78, 0xab099152, 0x73e92b68,
+    0x44299709, 0x71d42a05, 0x51312ee7, 0xe406e3ba, 0x91cfaa83, 0x5104effa, 0x2a0d289e, 0x4a27d550,
+    0x503c9bed, 0xb0045be1, 0xaf584168, 0xc3bd7d10, 0x45e012e5, 0xe8448efb, 0xdd3c27fe, 0xd6f3484b,
+    0x65762bf4, 0x688ff130, 0xa7e54d47, 0xf421d6d4, 0x06fe1d08, 0x4837788a, 0x14335f94, 0x82bea57c,
+    0xd6bd1d07, 0x1768f122, 0x7f12c697, 0xc93c4597, 0xe737d902, 0x39947e26, 0x10251733, 0xc7de3bbe,
+    0x421635b1, 0x4e00139a, 0x6e8ec0f1, 0xfd114d9c, 0xdcd1c384, 0x6b216bf7, 0xaef10ec8, 0x246fc3cd,
+    0x43aa5ce8, 0x0c8413e8, 0xd71fe793, 0xdde81f02, 0xb0080ddc, 0xf8bbe8d8, 0xe7a178f4, 0x08ef8e6d,
+    0x7094e63c, 0x3d2c59e5, 0x51950c21, 0x103bed94, 0xdb6d2f02, 0x082d8876, 0xb27ed6e9, 0x432c525a,
+    0xace4450f, 0x184582b0, 0x2ecab928, 0x04f79295, 0x00901d9b, 0x2faad6a5, 0x0d8c6303, 0x2b249be1,
+    0x49e4050e, 0x19409daa, 0xf88a98ec, 0x720f5f5f, 0xc51a2f83, 0xd5f2388e, 0x1b05b5e1, 0x90977b7f,
+    0xfa7725f1, 0x48045f4a, 0xd37b4f85, 0x621a03b7, 0x771b9cc5, 0xac3ab0c3, 0x51e26463, 0x73243c07,
+    0xeb025734, 0x3b8916c7, 0x11beba5e, 0xbf5307e2, 0x2f467605, 0x6e7dd07c, 0xe22ec209, 0x1a2db7e7,
+    0x07895369, 0x8c86248e, 0x51f3ecd6, 0x689f89cd, 0x548cedb3, 0x1514eb13, 0x6f8680b9, 0xea65651e,
+    0xbc6f67d1, 0x1debb15b, 0x84a697da, 0x71c21280, 0x017fb207, 0xc59090a8, 0x6ad81734, 0x5333ce63,
+    0xd1ae7c39, 0x6208a529, 0x843ba874, 0x945c082f, 0x1826c449, 0xb92ab62b, 0xfad9e6b1, 0x01409e71,
+    0x7f7b6520, 0x4fb279f6, 0x53b3c4b4, 0xccee08b6, 0xbabf2cec, 0xe407b9ab, 0x1e452eba, 0x1b48c489,
+    0xeb106e34, 0xa222af58, 0xd0178ebe, 0x2cb61456, 0xa12c50b1, 0xe40637b1, 0xf88cff6f, 0xdf00eef5,
+    0xe5d66876, 0x5aa102ca, 0xf78f4d6d, 0x478c4fa2, 0xd7c1b880, 0xc027f15d, 0x1696e6ac, 0x437b8330,
+    0x99b1705d, 0x05ce1944, 0x5308ca84, 0x362a6690, 0xb78164b5, 0x840c9dad, 0x93965ffd, 0xdd88cd08,
+    0x1983f65c, 0x617c6700, 0x5b146168, 0x076e28e4, 0x402ea265, 0x285bccc7, 0xe4ad6b39, 0x6ab5934e,
+    0xac0fbf6e, 0x044ed772, 0x8d80b6be, 0xafe8f6d4, 0xed1f46dc, 0x857fd171, 0xcbeaf355, 0x6f5ca75b,
+    0x5bd3c525, 0x78a370af, 0x6722ed75, 0x849cd826, 0x4176c8ad, 0x5db3fef5, 0xb8d92c7d, 0x3d7595f7,
+    0xd4a5a616, 0xf3440c2c, 0x6bf8dd5d, 0x614cefeb, 0xab13a8f7, 0x2b3fa3b9, 0xc8de177e, 0x9828b36e,
+    0x762c488a, 0x4dbbd50a, 0xdca740ee, 0x7d89bbe6, 0x780cccb3, 0xb454863e, 0x1d9080e5, 0xa16421f2,
+    0x21974e0e, 0x9debd116, 0x56892cd3, 0x10911dcf, 0xeade2f45, 0x77d72412, 0x8a7e0390, 0x30a41182,
+    0x9541bc61, 0x3f51b710, 0x96a0612f, 0x60411c93, 0x95430f1a, 0x8f6e7a4b, 0x57c2cfd1, 0x5366a5bb,
+    0x61fa9fc9, 0x71cd3ead, 0x6da0bc36, 0xc36519ce, 0x663c8532, 0xff4f7b99, 0x9c514ae8, 0x566c2b91,
+    0x0214ef2b, 0xbd231f4e, 0xc4aeba3c, 0x83a80db5, 0x3c57af56, 0xb7d5426f, 0x198af8b2, 0x930781a7,
+    0x639a73b1, 0x4c7ec3c5, 0x2e15585b, 0x8f34b235, 0x08eb7935, 0x5c38071b, 0xc9eced5b, 0x34314a71,
+    0xe02a3999, 0x3da458d4, 0xfc5ca170, 0xf801eb9a, 0xc268e4ef, 0x10f53904, 0x69136176, 0x80fbd3b3,
+    0xd1846825, 0x8f60b83b, 0xf8469d37, 0x1207263b, 0x58c431b8, 0xdc44713e, 0xfe5ab594, 0xeac12ccd,
+    0xb0b4b1d3, 0x5a46deb4, 0xc9f1ddaf, 0x10dbca84, 0x54a3c3bd, 0x6d88e6c3, 0xdba534c2, 0xd9430c55,
+    0x85c43e90, 0xb63eeb98, 0x984fb9fe, 0x47a27c03, 0xe142d67f, 0x4ccf011f, 0x95e860b0, 0x915ec018,
+    0xbb7e61b1, 0xe52f1bb0, 0xf1a3ad40, 0xab56cf87, 0x9c8faac4, 0xb0fe4f9c, 0x5c16a50b, 0x49ad5daf,
+    0x8ede152b, 0x864de744, 0xbd2a832b, 0x42d12ad2, 0x300c0e42, 0x86fbc18b, 0xd5f1e8a8, 0xb10d1a36,
+    0xcb02b717, 0x62562d0a, 0xf830cd66, 0xdf35bc59, 0xa50cbd59, 0x3ff27231, 0xf8123ee4, 0xda452e1a,
+    0x6ad28be0, 0x8ab2db56, 0x9fc2ce13, 0xa0b0cdef, 0xf57ce86e, 0x413a2413, 0x8ed24231, 0x08ea288d,
+    0x427929e6, 0xeb088f36, 0xc010e176, 0x9a131b2b, 0x3709a39f, 0xde1ec8c0, 0xbe1eccac, 0x0bfc1999,
+    0x05b47ceb, 0xb63d3fc5, 0x98859376, 0xb242668f, 0x97437c4b, 0xf4ec429c, 0xd5e98632, 0x7fd6ba1a,
+    0xced3c4ea, 0x802c247c, 0x78b208dd, 0x43a77b72, 0xf1c8825b, 0x1a791a37, 0x1b80e190, 0xc00dd047,
+    0xc961f89b, 0x2442660f, 0x05da8055, 0x41e6a197, 0x92dda6df, 0x6e71abfe, 0xb060d55f, 0x69702e07,
+    0xcd2a6bf3, 0x28cbb156, 0x0eb8e24e, 0xeca18748, 0x124b7f78, 0xc0a67dbd, 0x74064d3d, 0x96743f03,
+    0x296b35c3, 0x77523926, 0xf91478e8, 0xb42d809d, 0x25857003, 0xf90f328e, 0x21ea1c1a, 0x3ceac021,
+    0x0da55bce, 0x98e980df, 0x8948b480, 0x80bbb6b2, 0x67d69488, 0xd5769dbc, 0xd050bc56, 0xf6f84bc0,
+    0xddb350e9, 0xb2a107cb, 0xde6704c5, 0x6573d866, 0x90f99151, 0xafe2bc56, 0x48aa706a, 0x1a59bc9a,
+    0xf9fd6e4e, 0xcefc104c, 0x4a02f911, 0x7ee86b06, 0x7edea791, 0xe85b5ed2, 0xd0a29911, 0x9b27f4e4,
+    0xd7800497, 0xbdac5895, 0xa0a43e1f, 0x76cd3a41, 0x32be5a76, 0xeed6dba8, 0xaeb023e7, 0x0c2f2e93,
+    0x231f0feb, 0x8ec3c3e5, 0xeb61ecf0, 0x12ba8cf1, 0xa86b34bc, 0x669619e5, 0x82ce8d99, 0x6beadfab,
+    0x525c13fe, 0x8678fa5d, 0x56e2725b, 0xa5b5f48d, 0x3eec3563, 0xccda1f2d, 0xdc6769c8, 0x31904baa,
+    0xedfd9179, 0xd35f7225, 0x618cfd2f, 0xfe97a2fe, 0x583ece9c, 0xc156e2de, 0xf182e888, 0xd88581b5,
+    0x1b00d012, 0x901384f1, 0xe9f0ab7a, 0xd4c920a8, 0x0a4f9007, 0xa278c265, 0xe4831900, 0x1956fcc5,
+    0xa163aa06, 0xbeddf020, 0x5687acb8, 0x701f8823, 0x227bc213, 0xf1617942, 0x79da0100, 0x577d6322,
+    0x7bf75a84, 0x1a992b16, 0x58642f03, 0xd4d8d2bc, 0xbd6ba569, 0x07449e9a, 0xf9f2b34d, 0xd4109f2e,
+    0x558b0faa, 0x98523ae0, 0x44510bc5, 0x829cfcd9, 0x20c6e94f, 0xf1ebfcf6, 0x4ab79c05, 0x9c8172fe,
+    0xfc721be2, 0x99b30e5f, 0x26ad9111, 0xa1da84f7, 0x0a25861b, 0x979a641d, 0xb4b9ec1a, 0x4f4d3487,
+    0xe0307b2d, 0xebfcfb8b, 0xddef8232, 0x79eb4587, 0xb1e9359e, 0xf269d5ed, 0xb6257620, 0xbdbdf270,
+    0x2e4e5be1, 0x83d2de8e, 0xa2c33986, 0xb9ed5b1e, 0x2595ab66, 0x10647ccc, 0x0d0070ee, 0x234c4399,
+    0xe9525ec1, 0xd23b760f, 0xdcf98df7, 0x66a0edec, 0x3cc672e5, 0x3965d278, 0x23bc59cc, 0xee0466f2,
+    0xaab27986, 0x25634bf4, 0x8dfe23a9, 0xdea9cf20, 0xfa5c3670, 0x6e5d4496, 0x283c06ad, 0x755a73da,
+    0x77a52272, 0xb99f2abf, 0xbc898ca6, 0x5b09b653, 0xe4d20af7, 0x014a6208, 0xf7f2d232, 0x29581efc,
+    0xc61f2a7a, 0xbb57bb01, 0x7299167d, 0x9777ec9a, 0x1e499902, 0x1560a099, 0x8a0901b7, 0x8b82d01d,
+    0x5251302d, 0x6d28d1c8, 0x0b6613a1, 0xbf618dba, 0x1da5f355, 0xf5ca32ac, 0x3b4cfede, 0x70b3a636,
+    0x762c4b20, 0x85133ab1, 0xd074ba62, 0x209f0552, 0x8911d878, 0x62c20969, 0xb3b6eff6, 0x5e68440c,
+    0x901cb0d6, 0xcc5fdc1a, 0x3fb95361, 0x3eb8de51, 0x3d48727b, 0x083f19c5, 0x71b30c54, 0x79b47f60,
+    0x4bbaba98, 0x5c73ea48, 0xb6f60b6c, 0x9e8e7e42, 0x675b7831, 0x35aae1a8, 0xdce32a50, 0x080325a9,
+    0x239353ec, 0xe3d79431, 0x8aed7021, 0xca7738cb, 0x4b418df3, 0xc29e110e, 0x73768e84, 0x9442ba01,
+    0x86be15e7, 0xa95a9838, 0xdb0482e5, 0xa0e48e0d, 0xdfd99996, 0x6c5ae1d8, 0x26642f76, 0xaab9c809,
+    0x36f1da82, 0x5fcbe947, 0x2d08bf70, 0xd9fc6566, 0xe3dafb74, 0xe5c11f71, 0x10e3d955, 0x02e53e6b,
+    0x72ad7593, 0x61b431bd, 0x81515377, 0xe86c1892, 0x6b3c263a, 0x3a9705c9, 0x1511f4ca, 0x4083c94c,
+    0x3728a3b4, 0x970fdbe6, 0x80ee3a76, 0xedd770f2, 0x4ca6b15f, 0xc064cdde, 0x61b8bc12, 0x1182e85c,
+    0xc18c4566, 0x3a015634, 0x8c6bdd03, 0x3023cfec, 0xd9e49cda, 0x6b4c3476, 0xbc9511a5, 0x4a58fd7e,
+    0xf6a5931f, 0x2c9ec25e, 0x41779ef3, 0xe01e5490, 0xfbb271ae, 0x4efbfb92, 0x8b3e2daf, 0x5833f09e,
+    0x282f9691, 0xebd750ef, 0x9bf0a6d2, 0xf90e00a8, 0x209625ce, 0xf841dd35, 0xcda9b285, 0x6f2ded17,
+    0x72ea79db, 0x8951f9c5, 0x91b3c661, 0x5bb9f468, 0x2410dd6b, 0x1b081e67, 0x0aedb7cd, 0x8d0e5f07,
+    0x7622cd3c, 0xb0cec4a2, 0x9e244033, 0xb8be03bd, 0xa66195ce, 0x08b6bba2, 0x56898b3e, 0x66441673,
+    0x78c70bd9, 0xfb0e0dd9, 0x93b33434, 0x62b34635, 0x777d8ad1, 0x7b05f9a0, 0x92f08c81, 0x2856cd21,
+    0x7b826ae9, 0xda0f597f, 0xc4a606d5, 0x1e46b4dd, 0x07cfaf56, 0x34567e7f, 0x2e6e7c27, 0x4c6a0b28,
+    0xfa2e4e38, 0xb99dc91e, 0xa81acfaf, 0xc57606eb, 0x911ceabb, 0x9ff208e8, 0x68198c0e, 0x99e434a2,
+    0x03327d3e, 0x86adc65e, 0x9256dfe9, 0x110b21ee, 0x9a116e15, 0xcb0ab5d2, 0x5af3ca44, 0x4b738178,
+    0xaddc68c0, 0x662382cd, 0x39f65c1f, 0x381dcab6, 0x5d9d7f04, 0x945b9f42, 0x06f68bfd, 0x3c47fb45,
+    0xa54c7133, 0x5fa4ba8a, 0x7f6b0837, 0xd5015b5a, 0xc7eaf5ab, 0x2dea64c9, 0x6393c4fb, 0x5f6f1525,
+    0xd86ce8ca, 0x31678501, 0xf1b9ce69, 0x13b03d82, 0x28944980, 0x5e035287, 0x917b005d, 0x77712465,
+    0xcdaed28f, 0xb29edfb6, 0xb0a0c9e2, 0xa943511e, 0xf44b2ee1, 0x3f7a7db6, 0x3fb4c349, 0xd99bf444,
+    0x2196b06d, 0xc2251f37, 0x2b33aaea, 0xcc0bc6f7, 0xc4dccc0a, 0x5a656324, 0xcc223dca, 0x74217e09,
+    0x86adff2f, 0xff219577, 0x6bc7d874, 0x95b2f9fd, 0xf3addd74, 0xf9c2e046, 0x548d7c9f, 0xfab14b7c,
+    0x0ac1918b, 0x626fd041, 0x50d47d41, 0xb0bd9ca4, 0x33af43f1, 0x03686dcc, 0x0cc182a4, 0x4f9be95d,
+    0xaddd82b0, 0xfa89b7f8, 0x16e487ea, 0x38b12917, 0x6cab0aa5, 0xbd9d1716, 0x021c6ae7, 0x88a69b3b,
+    0x84ec9126, 0x6982046e, 0xb8562bba, 0x8f62bc05, 0xb3f4b4e2, 0xd79bb008, 0x53d4cb75, 0x55efe32d,
+    0x352d328b, 0x561074b5, 0xf9d0cee9, 0x32e07a61, 0xf48f168c, 0xa6946b3d, 0x072392c5, 0x30e9963c,
+    0x150772c3, 0x792c46aa, 0xbe93289f, 0xc56d6a0e, 0x019cc83e, 0x75d38d91, 0x6057ae7d, 0x7ff24fa0,
+    0xc41504a8, 0xe69ab218, 0x806cd694, 0xa35f0046, 0x51868731, 0xb022e993, 0x03522935, 0x54d60415,
+    0xd802ecee, 0xf7e97ebf, 0x72c98d2f, 0x054579bc, 0x32e0f944, 0xfc35a721, 0x91838179, 0xbc41c38d,
+    0x3ece689b, 0xaaa1afe4, 0x5c498aeb, 0x10e0906f, 0x73d25426, 0x915c319a, 0x6e78d8d4, 0x3f90b02e,
+    0x9ca8e06c, 0xe55145ee, 0x8a6c284a, 0x04a35b9d, 0xbe257812, 0xa6265c18, 0x0ced4c0e, 0xd6d668d7,
+    0x9335d915, 0xcc07ea22, 0x7ccbe114, 0xb170f9da, 0x0ea7465a, 0x60ffa486, 0xd224a631, 0xde708088,
+    0xef66084e, 0x6448daef, 0x0334ccb5, 0xde57848d, 0x0a998dda, 0xc7d5dc04, 0xbd41d041, 0x85a6cdb2,
+    0x5b8c208d, 0x05553185, 0x44bba7a4, 0x0df9ab9f, 0x12678d4a, 0xbe727aef, 0x938d605c, 0x8ddaed78,
+    0x00000000,
+    0xa8f9d1f0, 0x287ef4ee, 0x3c2ce833, 0xb5640417, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d,
+    0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000010936253623915059621862\
+                         51113558810682676584715446606218212885303204976499599687961611756588511526912 */
+  { 0x00000000,
+    0x879a9eed, 0xa0c1c0ea, 0x47f66298, 0x7ac06c5a, 0x1924caac, 0xcfdd4b2a, 0x78c578e3, 0x42e79a2e,
+    0x9848740a, 0xb9f4e132, 0x1e8df1f4, 0x01b9e41f, 0xf4e62e6f, 0xf67f05da, 0x4c1274e2, 0xe4bef8ef,
+    0xbda3b99e, 0x004ad579, 0x9fbf0d6f, 0x1e1f33db, 0x27503e2f, 0x16324ab0, 0xfbf8b9c2, 0x8f8e7541,
+    0x9ddfb15c, 0xbd26ed81, 0x9d059f91, 0xa588b031, 0xf0ebaf53, 0x0e8a4b67, 0x4b9f1553, 0x41ddc895,
+    0x376ad77f, 0x2cb6bb2e, 0xad503133, 0x78bec8e4, 0xb0cded8f, 0x7992b071, 0xf39ba8e1, 0xc9511d4b,
+    0xc2436fe8, 0xa76be348, 0xe440ff51, 0xb3ed705e, 0x892164e9, 0x80ea318f, 0xe27e5d86, 0xab92a78b,
+    0x1bf0b012, 0xdea8d032, 0x698dc8ed, 0xf29b429c, 0x44e14b5a, 0xead3c111, 0xfd455619, 0xfd545dea,
+    0xc79dd6d3, 0x73dfebe8, 0x6e874b01, 0xc69b2ef5, 0xe677de2d, 0x1e0c76ce, 0x59c43495, 0x380c487f,
+    0xbd3e93f7, 0x12c8b125, 0x59d98d08, 0x75517695, 0xd816d326, 0x54cd7e12, 0xd71817f4, 0x40381b84,
+    0x907a61ca, 0xc4d5a0d9, 0xef6188a0, 0x15d9c540, 0x34fdd7de, 0x7efd39a5, 0xaccf3b21, 0xc025227a,
+    0x79c157ef, 0x212aed95, 0x9929857b, 0x021f93eb, 0xccf0428a, 0x40b0d8e6, 0xb956d377, 0x093217e2,
+    0x5adf9175, 0x9cded170, 0xc1bfcb3e, 0xcee5eae6, 0xf3409007, 0x721689aa, 0xcd840a1f, 0xa6e68ea6,
+    0x7ce478b7, 0x3b9c4628, 0xa6db31eb, 0x1d51cbfa, 0xfc928e4f, 0x1d76776d, 0x62b408d0, 0xb5b18dde,
+    0x6782948c, 0x30c6255d, 0x3d43e5bc, 0xd4ce3ab0, 0x1d489f31, 0xeed65335, 0xa89bf561, 0xc8eaa4b0,
+    0x6c0630d2, 0x72c8a554, 0x82d61be0, 0x482c630b, 0x698810d5, 0x349a7880, 0x535f7d5b, 0xabecd3dc,
+    0x1610aca5, 0x162ea156, 0x9ce82c73, 0x478d60ff, 0x864bfe97, 0x95876164, 0x6026ee5f, 0xdb692e9b,
+    0x75b4bace, 0xa6378aa9, 0xe6ae2234, 0x5f96e1dc, 0x59d1e531, 0xb745803c, 0xad0d13e9, 0xdbebb824,
+    0x18a54bc5, 0xb9a602ea, 0x742fd267, 0xcf060dec, 0xc2c072d8, 0x8b822535, 0x9a3c523c, 0x231fcf4e,
+    0xd96b78d3, 0xc43af84f, 0x3eaa4266, 0x00f1caab, 0x7d12dea7, 0xb9790c48, 0x31c1b0a5, 0xf9610435,
+    0xf1d06092, 0x0fee1a88, 0x0f4e3257, 0x86c4ba16, 0x11a522fd, 0x71b79f41, 0x22d599f8, 0x0d7521a3,
+    0x82469a7a, 0xbb91263e, 0x972fd84d, 0x4a4261da, 0x71b9e5be, 0x94809465, 0x273d63b4, 0xedd24d53,
+    0xeca3819f, 0x87d963c9, 0x36340b6b, 0x9b47db0f, 0x8da597db, 0x8f9997f2, 0xe2c47e6a, 0x09003072,
+    0x77be9e78, 0xb80cb4dd, 0xb2fc6fc5, 0x8979de9b, 0xba85626d, 0x7a7b6b92, 0xadc110db, 0x11092b88,
+    0x29b3db31, 0x528e2938, 0xe9ddfd7d, 0x7c8d7480, 0xdb6cb53d, 0x9318633a, 0x5ecf5792, 0xa2265242,
+    0xba5b3b25, 0x78bdfdf6, 0xfc94d412, 0x0d4e1e17, 0x31272994, 0xa454df6b, 0x7b5d100a, 0x741b32c6,
+    0xfb30785f, 0xaab105a3, 0x702d7d35, 0x0bf7f3bf, 0x720d1aef, 0xe8e30e4b, 0xc1a84a1f, 0x49b84105,
+    0xfeb65ee0, 0x79c27a3e, 0x67673a4c, 0x629096c9, 0xcfcd3488, 0x8741b764, 0xce48077c, 0xd9437bf0,
+    0xe2f086db, 0x0fd54fab, 0x8ae7b77a, 0x84eba6bc, 0x9fd0c71b, 0x22f0cbdf, 0xcc8165c4, 0x53e0d67d,
+    0x41fe056d, 0x50ac54d9, 0x8ab2d402, 0xfa08e636, 0x91fdd6a4, 0x8b46d020, 0xcda37e3a, 0xd51483bf,
+    0x483c9939, 0x78608b46, 0x0c1d6125, 0xc0c872ac, 0x01a74768, 0x3e938f09, 0x03209829, 0x8f1f5bed,
+    0xfb401ab8, 0xe5bcd8ee, 0x09860bb0, 0x2cb02ac7, 0x36c36b24, 0xe4c48e3d, 0xa1089cea, 0xbde63db9,
+    0x26e39298, 0xc9f394d7, 0xe7e5cd7e, 0xe63b139f, 0x195bb9f2, 0x12f7d519, 0xea5e9ec4, 0x9ea93d0a,
+    0x32a7a498, 0x84a78013, 0x7ad38940, 0x6412a10a, 0x9f4db1dd, 0x16119a5a, 0x826d179e, 0xcd1f88cc,
+    0xc5a7b83a, 0x274270f1, 0x14118479, 0x13c4b1a4, 0x8f87c8b0, 0x986298cc, 0x730806fc, 0x5e12d131,
+    0xcbe546b4, 0x4ff876ae, 0xddfdc1b7, 0xca0b5619, 0x6d39d4e0, 0xb5cbda1d, 0x78148ddf, 0xb11ac515,
+    0x7456d001, 0xaf0ab36c, 0x548885be, 0x2a7181e5, 0x2adc898e, 0xb5d20ff3, 0xd01f155b, 0x930ca2f7,
+    0xbd38b939, 0x66053821, 0x65dac91c, 0x2d077683, 0xb679ab3a, 0x4dfbe3bb, 0xfdc56239, 0x96e205e9,
+    0x74fd39b6, 0x66adbd31, 0x2754a7a9, 0xb520b927, 0x60ea9020, 0x50f16bce, 0x1bf472e4, 0x18cd802a,
+    0x5581331b, 0xe9cf9c41, 0xbbfd1fb5, 0x1edd0048, 0x2e956dca, 0x70868525, 0x7ec1ad0e, 0xad85848c,
+    0xdacc79cb, 0x000a073a, 0x44eee14f, 0x8fd4faa9, 0x87d8248a, 0xb3059cc2, 0xe4843ed0, 0x0659c20c,
+    0xb32f8ceb, 0x031621a7, 0x6961b4d4, 0x798aab85, 0x724c5881, 0x2d3a8b6d, 0x5972181d, 0xa6846073,
+    0x40708154, 0x5243c753, 0xf29e97e4, 0x282d16f2, 0xa9226fb6, 0x72991f59, 0x7125d6bb, 0xd30a496e,
+    0xf20d785f, 0x653060af, 0x214d7fd7, 0x2a156b7a, 0xc0ec9a80, 0xda4a8a70, 0x91eb4f66, 0xe16a9f81,
+    0xdc34dc53, 0x99f2559d, 0x41479b76, 0xc7c488d7, 0x89f1edf1, 0x6d7e9b60, 0xfd48cb6d, 0x0252d380,
+    0x1cc9e025, 0x2b2354bb, 0x8eb6b448, 0x6d4805c7, 0x6268e030, 0xe672701e, 0x87fcc9be, 0x25ff9a6f,
+    0xd32b4325, 0xc7cadaa0, 0x0a0c65fa, 0x23819eed, 0x4a48b520, 0x131f98e2, 0xcc5216d0, 0xbf691faf,
+    0x5375de8d, 0x402f4a07, 0x3466daba, 0x967f806f, 0x5a7e211a, 0xcefdeed3, 0x2f85e2e5, 0xbad4b2f1,
+    0xcad9569f, 0xfdaf12a0, 0xbea42f09, 0x7ae7c2cc, 0xd277d5d7, 0xe65c9b3d, 0xb882f0a9, 0xe7b7df06,
+    0xfb302158, 0x57d4c024, 0x639205a0, 0x454b6cb8, 0x9bb93412, 0xddd9dfee, 0x4a27022e, 0xe3b96823,
+    0x8a5cd091, 0x8d5d73c1, 0xcf8850c6, 0xaafff77f, 0xc895cf65, 0x4d72b24d, 0xcd2cc5aa, 0x0e6ff431,
+    0x4b659f43, 0x66cea69f, 0x04cb3380, 0x68504b22, 0x01e8ca1a, 0xfd195f49, 0x8e3ff557, 0xfc48b940,
+    0xf3dfbf6e, 0x1a27f100, 0x3d6af083, 0x129c7830, 0x08fb1090, 0x88039707, 0x42ae1321, 0xc4a20060,
+    0xa9693da1, 0xe5bd9e80, 0x620bea5a, 0x6b0f758f, 0x95b8d277, 0x523d18dd, 0x8e116e83, 0x56065921,
+    0x171828bf, 0xa6d67a75, 0x74fd2acc, 0x2296f0af, 0xb4a63214, 0x77abb804, 0x42feb257, 0xb1f692fb,
+    0xc3e832ae, 0x8f80b21e, 0x0b0bb422, 0xac5ebdfc, 0x0c48bd3b, 0xe5ab4120, 0x5040d874, 0xe892f6ec,
+    0x3bc1232c, 0x05687a04, 0xb6864b61, 0x84e5291d, 0xe6c1c1a7, 0x34499d9f, 0x77241d8b, 0x9ebf6fe9,
+    0x36b6ac84, 0x6e6d72c4, 0x7ae3ec18, 0x2b365ed7, 0x8d4d95b9, 0xbdeac121, 0xe6f2da41, 0x25e9c90f,
+    0xb03c2474, 0xc0af91db, 0x05b634e2, 0xb3c81de7, 0x82a880f7, 0xbc37544e, 0x831851e4, 0xeee41cc1,
+    0x6e233e7b, 0x80ce7ebc, 0x5715d935, 0xca25fd5e, 0xa752a3e0, 0x50171022, 0x94177b37, 0x36cd9602,
+    0xd56ef27b, 0x73138561, 0xf6149dac, 0xab8f09d0, 0xcf423357, 0x0b43aa4d, 0xe371e0f6, 0xae9e7ee8,
+    0x947c72ee, 0x3ba34a35, 0x4a98ab8a, 0x3a082d82, 0x8d54794e, 0x4dac79e9, 0xb12e20a0, 0xc478db00,
+    0x7ebe3d65, 0x73690996, 0x829408cd, 0x9f8414e4, 0x2eb99ca9, 0x0cb8a62e, 0x461050be, 0xbd87ca3e,
+    0x52e1e93f, 0x41bd73f0, 0xcabf1270, 0x40d4870c, 0x7f38e1a6, 0x863ac111, 0xca956736, 0x15153a17,
+    0xa238f7aa, 0xe0522aa3, 0x8554b483, 0x4fec6a17, 0xa06ae4ba, 0x79721b48, 0x90d85580, 0xa593e6dc,
+    0x979dfcf5, 0xa45f978c, 0x9cbd3422, 0xbbc1d948, 0x242a73ba, 0x2e87edff, 0x73edf732, 0x8b745bcb,
+    0x0d07e388, 0x3f31a1e1, 0xbed2984b, 0x6a9e6711, 0x007f36a7, 0x5d32ff29, 0x1aa89b2a, 0x4e896c49,
+    0x4310a307, 0x792d89cb, 0xf96d42c7, 0x10abc08e, 0xdff7b8b5, 0x021cba50, 0x6b754251, 0x4d07e5f5,
+    0x22ae6e5d, 0x853366e8, 0x92076a34, 0xf928ae19, 0xd00e454a, 0x50fa29a2, 0xa143f0c9, 0x79da2e5f,
+    0x98913d8d, 0xad4baeb3, 0x89fb6436, 0x410e0456, 0x906cac5f, 0x41972da2, 0x2589c9e6, 0x5ec5963e,
+    0x15291fc3, 0x375beb64, 0x06c22cf4, 0xa4633f53, 0x68373c38, 0xc0ab1ea0, 0xd83ef963, 0x61a10b38,
+    0xf237eda0, 0xfd3646d4, 0xe5d1f24b, 0xa2154ffb, 0x4797d33f, 0x9dbb1881, 0x4daeefd8, 0xdd882a1f,
+    0xde3681ee, 0x1cd03164, 0xb9c64954, 0x441a8081, 0x14cac1f8, 0xb800b9ed, 0xfd38866d, 0x1c87a27c,
+    0x9d7c0760, 0xe6da4a24, 0xc14215d4, 0xa9ad6db6, 0xb649e65d, 0x7e3d4eaf, 0x54235726, 0xa01d925f,
+    0x30158cb1, 0xf2b31a42, 0xd75961f6, 0x042d8baa, 0x60dbc6ce, 0xc07a631f, 0x53c7eeea, 0xc6185af0,
+    0x2b106c1f, 0x119fb468, 0xa5c3eba6, 0x06228e55, 0xd17676af, 0xe21db981, 0xf1569ece, 0xf0394bd0,
+    0xc2199066, 0x94b289c9, 0x5a3a05f4, 0xc8cca8f7, 0x275b108c, 0x1d9642e2, 0x4ae57b0c, 0x1b3e9c4d,
+    0x34650614, 0x5951601a, 0x94c60da7, 0xc4786840, 0x372c6bf2, 0x3e32e659, 0x870ee2be, 0xd8ea5bff,
+    0xaed34731, 0x301d152d, 0xffdac313, 0x64cab061, 0x83511c61, 0x48a4b1e7, 0xee03579a, 0xfa147855,
+    0xcdcde862, 0xf00bba9b, 0x91398fc1, 0xac278b00, 0xa8d35a97, 0xce31f345, 0xb837b4a9, 0xce72e4bd,
+    0x97fe6e03, 0x9635e5f4, 0xafeeaaa7, 0xe88172db, 0xff7ef5eb, 0xd2009607, 0x214d8048, 0x6537e6a1,
+    0xc6419301, 0x0332831f, 0x9809f0b6, 0xacf02984, 0x30ce550c, 0xccb40b19, 0x6a058fc8, 0xdbee9099,
+    0xeb809a7e, 0xb8268d6f, 0x51358537, 0x5bb3532f, 0x4fba7f1f, 0x6d742b0f, 0x0fd29f06, 0x895bff46,
+    0xb07831ab, 0xc78766cd, 0x4c228355, 0xfa3a49e1, 0x7f9a21a8, 0x259c9a50, 0xbcc87790, 0xa16c638a,
+    0x47f2365a, 0xe2fc0ea4, 0x585d581c, 0xaf5ad4b0, 0x748ce4d3, 0xbeceea56, 0x0ba07476, 0x250729d9,
+    0x40394a5b, 0xc23476a0, 0x2264f868, 0xc90d35f8, 0x92b4f17a, 0x22d92e8c, 0x29cf185b, 0x210dac73,
+    0x3d242f02, 0xaee1b051, 0x6329c509, 0xd30f769d, 0x0e37f755, 0xcc9d5dac, 0x956ddfd0, 0x4caf98c4,
+    0x12d8a97d, 0x0780928f, 0xc1a5a420, 0x9a545b70, 0x3072e2ce, 0x750bb94a, 0x409f4f8e, 0x4ccfe35e,
+    0xd498b809, 0xbaddb07d, 0xd9ea9d52, 0xba2df8f2, 0xf2b5e53a, 0x9624a867, 0x4fec5c94, 0x771d74d0,
+    0x7f33bb21, 0xb595b373, 0x07f78e9f, 0xc66231b6, 0x6e64df9b, 0xddc3d5ba, 0x7a4a87c8, 0x3fb49f52,
+    0x3f325384, 0x9e068359, 0xb393c6f0, 0x81abdf4f, 0x9f5e9c2a, 0xf3c332ef, 0x5610f4b2, 0x5b4c582e,
+    0xdc99dc39, 0xf2033c3a, 0x7ac0a84f, 0x151f2ed7, 0xbf86d767, 0x50afdca1, 0x995c7fe3, 0xf5cb95b8,
+    0x3b3c4b38, 0x78f434ac, 0x9594c3fd, 0xa6fc8d5f, 0xa6609c8d, 0xb26fa49c, 0x90efdc9c, 0x8002c417,
+    0xad1c3069, 0x07597ec8, 0x6066084d, 0xb8a1711c, 0x82da24fe, 0x4ac328f8, 0x3aa9ea1c, 0x845fc6f7,
+    0x4369cded, 0x476afa55, 0x80f52e4b, 0x4bdcddf0, 0x9309cea1, 0xf25c5a31, 0x874ec659, 0x8c5097c9,
+    0x6a3010ba, 0xc79a07f0, 0x0d4a63f0, 0xc4b5dc8b, 0x4e3f2b6c, 0xe2bc446b, 0xfd735e19, 0xd19dad7e,
+    0xe8e64203, 0x788bdf8a, 0x1753e0e4, 0xa2faebfb, 0x1ee8cd21, 0x87edd78a, 0x08f89dca, 0x0847b74b,
+    0x4fd89d39, 0xa3b837fe, 0x2b44509a, 0xd7ad1643, 0xf7b3f943, 0xdfbd7538, 0x335c3027, 0xc1f798ad,
+    0x610dcc0e, 0x30f451c5, 0x797434b8, 0x9010c9a1, 0x2d52a20a, 0x194162d2, 0xfdf33b1b, 0x9789fa7e,
+    0x447cbb19, 0x1ea2dea6, 0x27526794, 0x3833e397, 0xd3b06fbf, 0xe404e948, 0xb9709253, 0x5d1e9a5d,
+    0x39102dbb, 0x5992fa11, 0x7b120fd8, 0x43c5669a, 0x5b813478, 0xff3431aa, 0x613efb45, 0x1340c5b5,
+    0x4f8557b2, 0x12b03f2a, 0x366c9e89, 0xd9c3e314, 0x4e98f836, 0x41ecf62c, 0x0b667d25, 0x98358eb9,
+    0xd18a7fba, 0x58c7c65f, 0x097d39a4, 0x71a421d1, 0x95b4fa7b, 0x5d211121, 0x3ae179dc, 0xf090b085,
+    0x24193406, 0x9c2abe09, 0x060eaf1a, 0x212da3a7, 0xe10f1544, 0x1f570733, 0x73b9ea42, 0x4ba246b8,
+    0x0455eb9e, 0x65fad1ab, 0xaefa83d4, 0x146f3e49, 0xb86b7f77, 0x75ff9900, 0x49bfe7af, 0xbd3cee67,
+    0xe2a8ef2f, 0x6e4aa9eb, 0x3a90904e, 0x61f12e32, 0xbed07821, 0x69d2af6e, 0x0b174065, 0xfffa73d8,
+    0x64caaa05, 0xbfc3debd, 0xd4bc5339, 0x2bf805c6, 0x16448e97, 0x720b434f, 0x398ca1e0, 0x7306cb7a,
+    0x6b21d047, 0x044911d2, 0x8f7ba47a, 0x4544957e, 0x23a198c4, 0x7fe295d2, 0x79e06714, 0x3ceb5d9d,
+    0xc31cfa8c, 0xbfe4efed, 0x04e1acc1, 0xe270bcab, 0x2187f430, 0xd5866f58, 0xd3c6f803, 0xa6de2132,
+    0x02c5c289, 0x301f48dd, 0x91dfae4f, 0x35bedc0c, 0x21d7353b, 0x79339c7c, 0xa9b3ca57, 0xf62a5db8,
+    0xf7efa642, 0x5812071f, 0xdf4a55c8, 0x7be9006d, 0xcfc52278, 0x50c557b8, 0x94c7096a, 0xac8a1f45,
+    0x104bb21c, 0xb249af0b, 0x106c3387, 0x32f893e5, 0xa02721ab, 0x7547465c, 0xc53aa7fd, 0x425c1c2a,
+    0xfcd7c3f5, 0xc174c4fb, 0xa16a4538, 0x9977d23a, 0xebc1ca0c, 0x687af564, 0xe575a521, 0x30a7ced9,
+    0xf05da3a8, 0x8145ebad, 0x04548d56, 0xd3c24d5b, 0x41629f81, 0xc6c520c5, 0x9f20065d, 0x2f649f36,
+    0x1268aa84, 0x06c06a0c, 0x0d1dadfc, 0xad5357ad, 0xc3e15739, 0x13e1b2c0, 0x6bdd533d, 0xfe6dfac1,
+    0x71535b41, 0x3eb0c13f, 0x74bc832c, 0x75a8722d, 0xc821451c, 0x6d3466ad, 0x8655f8c0, 0x03f315a0,
+    0x72536419, 0xdd802b89, 0xe17f62d5, 0xfbcd8d9a, 0x9dfb604a, 0x8140b730, 0x0a0e5075, 0xffd17956,
+    0x957946d8, 0x93044d4c, 0x2de89d3c, 0x6c225238, 0x816fc725, 0x58f2d86c, 0xb7ee8db6, 0x7173ca3b,
+    0xf77500d6, 0x175a01d4, 0x7ee77f67, 0x2cfa62d7, 0x9c4eb1cb, 0xaeec0219, 0x7df73765, 0xdb42acce,
+    0x82351777, 0x6e36bc4f, 0x713b4e06, 0x0ebd7c08, 0x6264d848, 0x8c6c6c3a, 0xd5d6ff88, 0x37b26dcf,
+    0x65bffb8b, 0x99d4596d, 0x9bae07b3, 0x76da30ff, 0x78f74575, 0x6a1555ba, 0x60f27d9d, 0xf3a81bfd,
+    0x75b3f381, 0x43c9199a, 0x869319ce, 0x47213508, 0x06bab9de, 0x2de1764e, 0xd6394b7b, 0x5a1bee53,
+    0x8cf2b6d7, 0xb2369d25, 0x13cc5474, 0xca810cbf, 0x4273ee04, 0xef902e7b, 0x0356c4a6, 0xd77f2b0e,
+    0x1ee4fd8c, 0x6c6cc1b9, 0xe916aa9d, 0x1331b1a8, 0xe852affc, 0xa3f50984, 0x23f6853d, 0xd92a0137,
+    0xfc9c1b91, 0x0de3564a, 0x110e0814, 0x917fee1e, 0xb8c0d3e1, 0xaad00e44, 0x54b481c8, 0x63d11ca8,
+    0xea293e21, 0xebc2a108, 0x87fd8dc8, 0xdbfb81f9, 0x22b0ecf9, 0xd0f4bf53, 0x0b2508e3, 0x9c0ffa69,
+    0xea74e7ec, 0x27c0d318, 0xba67ff93, 0x082a75e3, 0x948973ca, 0x313c85cd, 0xaa080082, 0xbe909416,
+    0x00000000,
+    0x547ce8f7, 0x943f7a77, 0x9e167419, 0xdab2020b, 0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36,
+    0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000005468126811957529810931\
+                         25556779405341338292357723303109106442651602488249799843980805878294255763456 */
+  { 0x00000000,
+    0xdcb67340, 0x358fd722, 0xd786f2c6, 0x4bc8b958, 0xdc58a413, 0xfb37ae45, 0xa6314c32, 0x5ad16e2f,
+    0xe451d80b, 0x152525db, 0xb9a0b37c, 0xa3f68ad0, 0xc5463b69, 0x0df211d0, 0xd0bbb971, 0x7924bfb6,
+    0x55fec05d, 0x2c6025c7, 0x6a9b5856, 0x16af157a, 0xed0093e4, 0xda5011b7, 0xd57bf01d, 0xe77eaaf5,
+    0xc7350594, 0xaaf08c4a, 0x94f9dde7, 0x0aabba72, 0xb5180178, 0x676ab6fe, 0x36540c6b, 0xf8df3ac4,
+    0x6c050dd3, 0x7fb42d7b, 0xa9e631c4, 0x895b75b0, 0xf9828252, 0xbbb13387, 0xf1a16031, 0x2f880b05,
+    0x32374da0, 0x25f2e358, 0x3349cb5f, 0xd3662d98, 0x8e9eb920, 0x20324176, 0x68a0586b, 0x04e4564d,
+    0x7aff8243, 0x7f50f759, 0x105a29f4, 0x2096cb7a, 0x9cd8a5ab, 0xdf9cd64b, 0xdf201328, 0x7afdf7ba,
+    0x71b15dd6, 0x55c6c42e, 0x25966ab3, 0x3f41f5c4, 0xbabea09e, 0x5feac757, 0x09dac832, 0xcb39d634,
+    0xc6acba33, 0xb6da346a, 0xd5e6b422, 0x1f4f73d1, 0x2f456840, 0xe9349ce3, 0x5214b5b8, 0xe0f8e166,
+    0x914e704d, 0xb43fd9bf, 0x2de0b570, 0x90909767, 0xdb0000bd, 0xb793911c, 0x3adbee4f, 0xf73bc816,
+    0xf2cc9e62, 0xea5ab9af, 0x3529e681, 0xd1d5d452, 0x99712361, 0xf491f5f7, 0x03ac16d7, 0xe5747dc7,
+    0xa087207e, 0xa3a70710, 0x0a6d2c03, 0xd4ea2f4a, 0x263aff2f, 0x9e580a97, 0xf574801b, 0x3266d930,
+    0x12d2d4aa, 0xab6c39ff, 0xa07e9409, 0x0c508234, 0x9740a801, 0x5e11368d, 0x5aba0ca4, 0xbed9d6ee,
+    0x160c8451, 0xb766c998, 0x6ce85071, 0x01087f86, 0xe7cd09b2, 0x7781e603, 0xa86fde10, 0xbdd0580b,
+    0xf699899a, 0xf01d61fb, 0x2069e488, 0x9af2bbd7, 0x37cbbce8, 0x17a64469, 0xd58d378e, 0xa726cdd6,
+    0x9bf3bcec, 0xaea958ac, 0x9d803e83, 0x4d6620fb, 0x0c734090, 0x01e20b60, 0x94fc266e, 0x4ce97fce,
+    0x12aa32f9, 0x342e11a2, 0x70ecea35, 0x0e87f05a, 0x3812ef36, 0x54a90e29, 0x183f34a0, 0xebada8ba,
+    0xeaca26f6, 0xbeab959e, 0x75159793, 0xa629452d, 0xd2c2bf55, 0x60f3b9f9, 0xf95428c9, 0xf1a6d1ba,
+    0xf2ea63c6, 0xc9d4b16b, 0x53e791db, 0x0eb6b2fa, 0xf4fb32d3, 0xb42df6d7, 0xe932360c, 0xb6992e37,
+    0x4a91af1f, 0x4390ac78, 0x24454714, 0x4104b2d9, 0x5a3f37f6, 0x9aa86fe6, 0x7dbac0c0, 0xbe76f84a,
+    0xf026cc3c, 0x28df2550, 0x8b731c17, 0xe80ca99e, 0xe2832fc0, 0x405fb7fb, 0x2f81c26f, 0xd5d60ad5,
+    0x497ea910, 0xd1c18355, 0x06a84ffb, 0xf4f4e467, 0x57dd0ca1, 0x0750e2e5, 0x8d15b77e, 0x6c6d15ac,
+    0xbfda2024, 0xd9d81f5e, 0x39a3f5ff, 0x5c215611, 0x9ddb3657, 0x54ca217f, 0x8479ddb9, 0xa35bfedd,
+    0xa4f956b4, 0x6a217d01, 0x74a41a46, 0xd9efe908, 0x2ee02f3f, 0x4139adac, 0xc5f6531d, 0x3ec02597,
+    0x5a83c551, 0x89984f1b, 0x08cfc0e5, 0x5dc9ca58, 0xc6baecb3, 0xb10f8053, 0x5fe893fe, 0xf662500e,
+    0x95749021, 0x0dfdd3fb, 0x116912bb, 0xac5dad19, 0xde8e4467, 0x6f7402c3, 0x62bd3e8f, 0x8537e039,
+    0xbbd739bf, 0x38188677, 0x8d9fe80c, 0x2c36a3f3, 0xcb3d0514, 0xcd32a830, 0x6b8a0594, 0x2498c1df,
+    0xd93a347d, 0xf1cd6aa8, 0xefe8d938, 0x2d993a6c, 0xf009ea3a, 0x5a1aa8a4, 0x56458b86, 0xb3da1537,
+    0x0fcb6653, 0xae926e82, 0x61f05e96, 0x24a804ac, 0xe4b46c98, 0x6c9f9c98, 0xff9d33b5, 0x43052c23,
+    0x17a5028d, 0xfb05d986, 0x077840a7, 0x9bce3d33, 0x2b0380da, 0x84167f7d, 0x55487ce4, 0x17e0ad5c,
+    0xbb2f11ea, 0x671885fc, 0x455afe42, 0x76d7e77d, 0x71553ea4, 0x4fee3325, 0xd4f5a7c0, 0xf9665d19,
+    0xb15d397e, 0x20cfa48d, 0x0aad7c04, 0xff489909, 0x9b5dbd6a, 0xba7eb486, 0x2d1dbbb7, 0xee78b936,
+    0xe4ebe628, 0x0df8d9d0, 0xc598fa55, 0xe6fce3ee, 0x917b11d2, 0xb2804a2c, 0x6684302b, 0xf1c5120b,
+    0xd02ff77f, 0xfd878b80, 0xde82dc40, 0xa5dfa98e, 0x341055a6, 0xe674e82b, 0x2956546c, 0xecebc05c,
+    0x56df1efc, 0xf16eda45, 0x5e84e547, 0xb57e305f, 0x129632ae, 0x4a5473c1, 0xaefaa3fe, 0xb477fdeb,
+    0x2ff24fd1, 0xcb70d7b6, 0xa4181e38, 0xdc1cf98a, 0x3ec2ed20, 0xf9e0de13, 0x2ff7ce21, 0x8d296cd8,
+    0x12073051, 0x5ad3b957, 0x60a292c2, 0x898fd0be, 0x46a54cb5, 0xfa14de66, 0xd78f79e4, 0x0c723bf7,
+    0x3667816f, 0x167f55c8, 0x1b57dc81, 0xc48fe024, 0x89c51e83, 0x7022f9bf, 0x05e74ec5, 0x89fc2adc,
+    0x4666bc42, 0x3b88dcf1, 0xafb651c5, 0xfe585088, 0x0b45c183, 0xbc4ac057, 0x263bd708, 0xd9303c8a,
+    0x65043ddd, 0x2d8972bb, 0x5b60cb39, 0xe8a0a820, 0xc87be73f, 0x6ff88f83, 0x7ccc6514, 0xbd230fb9,
+    0x02a0c84e, 0xd6df1ee1, 0x958f24eb, 0x660ccea0, 0x715d6cf9, 0x7d05ea9e, 0xa692ccfd, 0xe7c9622b,
+    0x828bbc61, 0x698449ac, 0x09724606, 0x88ece64d, 0x4707f469, 0xd6ee2661, 0x40855454, 0x1f90e584,
+    0x6f8e9979, 0x295bca14, 0x44007163, 0x31d63fbf, 0xb781be78, 0x5b44338a, 0xbc502f02, 0x978509d3,
+    0xb4e701a6, 0x57aefbd8, 0xe4d689ec, 0x15a040ce, 0x9058c239, 0xbfab0192, 0xee628672, 0x29d14685,
+    0x592d641c, 0xafb3fd93, 0x165dcb64, 0xa2c0c95e, 0x7629947a, 0xe23cef36, 0xed3acb6c, 0x9382489f,
+    0x1256f7ac, 0xb6ad4ab5, 0xc61228f4, 0x998ba934, 0xedb71a15, 0x41b075f4, 0x26ee62eb, 0x59508121,
+    0x0d67630b, 0xba8798f4, 0xa5bcbe93, 0xbee8aa05, 0x20fc99a0, 0x3b20798a, 0xf228a5e5, 0x3ab29417,
+    0x83071227, 0x6f71a8a0, 0x693b6ac5, 0x76fd7452, 0x8f01bb5e, 0x0ac76d16, 0x1464c5d5, 0xefecdd76,
+    0xd3273ba7, 0x95121d65, 0x3e394e03, 0x26211e11, 0x3e7f6ad3, 0x96d85d01, 0x2240aebb, 0xc560158d,
+    0x485b801d, 0xf746dd5c, 0x96e17063, 0x920e1ab1, 0x82300b0e, 0x7bb634d8, 0xdbfa2919, 0xd5cdc54c,
+    0xf0357370, 0xb230c831, 0x60386c04, 0xb53d037c, 0x090c7b4d, 0x5aa78a1a, 0xab2f82a7, 0x031234fc,
+    0x9472e751, 0x90a5e64d, 0x08cc663e, 0xb86557a5, 0x1041cc5d, 0x0d9a51df, 0x31c64375, 0x6cc441f2,
+    0x46a6855c, 0x5f66bd06, 0x415b9084, 0x44eb84f6, 0x9f22d4b5, 0x1c3cde49, 0x3ee5886b, 0x4cb09849,
+    0xa89eec63, 0x4be11369, 0x5e06e4a0, 0x38879de9, 0xd56abdde, 0x3947c8e9, 0xb5683a14, 0xbae7a5df,
+    0xef40a498, 0xfe73c6ba, 0x19b94be5, 0xa0f43634, 0x8afb93b3, 0x0cbca833, 0x4fb0c298, 0x6fb2d176,
+    0x5ad6b0d2, 0x55886645, 0x4541b555, 0xa6b4b5c6, 0x74df7e19, 0x07c96b7e, 0x8eb3f5c2, 0x79af1119,
+    0xb94768d1, 0x270e7df9, 0x08d11e89, 0x7e8aa46a, 0x8c2e73a9, 0x546ed963, 0xf864f376, 0xe317df9a,
+    0x3cbcb8da, 0x34f14ed2, 0x1990f93c, 0x60130ab1, 0x7fe85808, 0xe225ba1d, 0x2e9f501e, 0x62f0d7bc,
+    0x208c838a, 0x4aec2921, 0xf8da50cc, 0xa44ac96a, 0xfac9aee7, 0x30c29451, 0x161b48cc, 0x4eda259d,
+    0x60041b68, 0xbf7a466e, 0x13d8c46e, 0xd07b43c8, 0xaa419eb7, 0x6dea03da, 0x4955477b, 0x8685e79c,
+    0xce2c4ea6, 0x5de7ea1a, 0x8c0a7ae3, 0x64c1a8da, 0xd6d09e60, 0xe248d9eb, 0xd6ab8557, 0xd76ce13b,
+    0xf0bba6d8, 0x20948499, 0x2ae65bd9, 0xafbeb195, 0x6349309d, 0xd6fbc213, 0x4c714ae0, 0xbebca39f,
+    0xd727762a, 0x546310e9, 0x3694589f, 0xc76b92e1, 0x43786458, 0x84617c19, 0x43af1598, 0x2bfba64c,
+    0x8a169fa3, 0xa2b4c475, 0x26265eef, 0x41c2db4f, 0xeb9fe287, 0x9b528e91, 0xa379167f, 0xefcf3b5c,
+    0x6cb89b2e, 0xf857b031, 0x80520534, 0x0bd221f5, 0x969f677a, 0x6a01f649, 0x411f3ef6, 0xa85da642,
+    0xef2918f4, 0x489e7e3f, 0x1e60584e, 0x6f8b6a02, 0x90d4c090, 0xc2a088c2, 0x8e6fb739, 0x0fdfe563,
+    0x1b8c8fd3, 0x5aed99b2, 0xf7cd2951, 0xb8fbd65e, 0x08df7e2e, 0xb2210734, 0xc7bdf9b1, 0x8a15a17b,
+    0x1dc721d3, 0xa0a8cf3d, 0xaca5b306, 0x32f84cad, 0x4476aaa6, 0x236ff91f, 0x01083725, 0x36e0fd04,
+    0x46af62ad, 0xb0d93257, 0x72f0848c, 0x6eca14d7, 0x4fdf1a89, 0xe423f0ba, 0xad83a08b, 0x2b3704bc,
+    0x2e4313a6, 0xef69a3d9, 0x3fe37cd4, 0x9707a6ee, 0x0413039d, 0x21749b0e, 0x3c95ae2f, 0xe80b209d,
+    0x816ac933, 0x4033682c, 0x2d4120a5, 0x31b5ac44, 0x20cc89b5, 0x1d8000da, 0xc5a546fe, 0x1686b43e,
+    0x34cd8771, 0x80a87612, 0x2c263857, 0xef939d7c, 0x7cd3c36f, 0xe9a54395, 0xb381e5a6, 0x1bfd2229,
+    0xcd054c34, 0x7fff6336, 0xcee24a76, 0x81369cb3, 0x8b74802b, 0x9bd1f2c8, 0xc7160c88, 0xdb11200b,
+    0x2ecd5eec, 0x91cdd644, 0x022a9064, 0x492affdd, 0x84619da8, 0x142df774, 0x67e10457, 0x11d92871,
+    0x27393601, 0x1cdf390c, 0xff9603e1, 0xe722e353, 0xfd8fb889, 0x8a4c9c8e, 0xd54f7e24, 0x134e46b6,
+    0x19f62e33, 0x2cbab166, 0x00e725b3, 0xb370cb63, 0xd5a11ff1, 0x2cfe51eb, 0x7908f357, 0x027f27ed,
+    0xebe315a0, 0xaaa1580a, 0xefff8e24, 0x1bc686cd, 0xfeb37ad0, 0x5f20a4e7, 0xcb559eaa, 0x1f6a4673,
+    0x68bd71a7, 0xe5136a61, 0x07a7a8d7, 0xe4b8b770, 0xead7603c, 0xbd8c8dc3, 0xb8d2ba21, 0xe954de07,
+    0x7b98121b, 0xd99ac34f, 0x5d9c2843, 0x360a1304, 0x8805637c, 0xcfef66a5, 0xbcd0efc1, 0xf13092aa,
+    0x6f9742c8, 0x9c520098, 0x4066134f, 0x84aec08d, 0xab7c9644, 0xcf6d1ef3, 0x3ebff956, 0x48682476,
+    0x32a12298, 0x2c796e25, 0x988bb4da, 0x16a7723f, 0x3176c8d9, 0x52da7d26, 0xff47b0df, 0x3afeaca9,
+    0x317be7c5, 0xbf686393, 0x6ebc3d01, 0xa67510a6, 0xab82949a, 0xdeb9dd2c, 0xc0124352, 0xd58e5414,
+    0x97604e7e, 0x288f49ca, 0x7a717930, 0xb65b7ed9, 0xa36fd455, 0xa3ec1d49, 0x6b023039, 0xd77859c0,
+    0xa87f2a9a, 0xfe4c5cdc, 0x67ae50a2, 0xb9d1ac64, 0x4d8b25d9, 0x23d90bbe, 0xd37f1b76, 0x369ad280,
+    0x02bc7785, 0x9c5716af, 0xfbd6be78, 0xeb968121, 0xe9927ded, 0x0fddaccd, 0xf9fa57a7, 0x4af6ba98,
+    0xdec9fdc4, 0x9212d190, 0xfb95d190, 0xc426cc9a, 0x6909737a, 0x4720f8c8, 0x288101a8, 0x1490b494,
+    0xec43afaa, 0xe475e944, 0x592ca9fc, 0x9300c0de, 0xd559dc56, 0xd69e67a9, 0x5b61a1ec, 0x8215b556,
+    0xd2e7dc6d, 0xc57b6b7a, 0x39604aeb, 0x84d5f6c3, 0x343f4339, 0x9b8b91ec, 0xeb09ac2b, 0x5e31451b,
+    0x36773678, 0x82341d5a, 0x383f776b, 0x2df1c24a, 0x78579184, 0xf2d89ea8, 0xd337fa4f, 0xb04c3e38,
+    0xbdacd112, 0xc24bd97e, 0x89adf58e, 0x6ef9ae76, 0x3caa0165, 0x17d20e24, 0xca1e572a, 0xc9c097f7,
+    0x94c7c338, 0x1ecb1bf7, 0x46d1258c, 0x3aefe879, 0xd6d20111, 0xe471e06e, 0x1dacb4b6, 0x8e1198b2,
+    0x786614c9, 0xddcc2d55, 0xd56244dd, 0x281fba64, 0x6ced6e52, 0xfa383775, 0xb0b4fcd5, 0xa98cd161,
+    0x45b32f87, 0xac0ac679, 0x6dba27f8, 0xc5b99826, 0xe7c8f4dd, 0x239a5191, 0x03c14b34, 0xdbbbb7e0,
+    0x21ea5964, 0x1962dc0b, 0x9f950d37, 0x1793b75f, 0xbd70425b, 0x00745c77, 0x275a5cfa, 0xda0a33d6,
+    0x082795d1, 0x3adefeb0, 0x7c8e829f, 0xebb1b4e9, 0x8c1103db, 0x1b171f66, 0x5ca535d8, 0x8f810a1b,
+    0x7843fe22, 0x3ddfdb84, 0xca639601, 0xc2c728b2, 0x31dab8dc, 0x49c5c98d, 0x5ee94495, 0xc2635e69,
+    0xbb27b91b, 0x3e140e81, 0x07c0af23, 0x808baa37, 0x87d33ddf, 0x1dda9768, 0xf8e46797, 0xf918746e,
+    0xe95e28db, 0x281e0c3b, 0x0edee5ea, 0xd34b3f53, 0xbac75ad4, 0xd93831ac, 0x8dc8062a, 0x53b39735,
+    0xc7644f8b, 0xcfe8e4d3, 0x4b2e12bb, 0xd84a4036, 0xddb091b2, 0xd19c2d6c, 0xea418471, 0xdaf54051,
+    0xfe1098b5, 0xe377b570, 0x0b918d58, 0xf3345e84, 0xc2f6357b, 0x3836e677, 0xe2de1eaf, 0x91ac12e9,
+    0x4c2ec94f, 0x83258706, 0x64888b5d, 0x2593922c, 0x5aeb4771, 0x13a2dfdd, 0x88c0b650, 0x3f816101,
+    0xd231c2e7, 0xefce7236, 0x063ef822, 0x1a8f436f, 0x1d4918cc, 0x5ac4ce31, 0x7f3fc3be, 0x56b45154,
+    0x145acc74, 0x6808e34f, 0x3298c0d3, 0x1ad7f091, 0xda5b761d, 0x6b028877, 0x95c59e3a, 0x5f60d9c6,
+    0x7687a6c0, 0x05353bd4, 0xa432800e, 0x210adeeb, 0xdfda83df, 0xb5f40d47, 0x27e751e3, 0x49dc2230,
+    0xd0582daa, 0xfd488ff2, 0xa7e0012a, 0x4423b27e, 0xd87e57b2, 0x1fd386ac, 0xadd837b1, 0x904cb8dc,
+    0xb91b1d5b, 0x5935cc9a, 0xebe852aa, 0xbb2117aa, 0xe92ab11c, 0x0448afda, 0xf67cde35, 0xa8eaa96f,
+    0x937edce6, 0x6defe4e5, 0x9e185dc0, 0xa46eb9be, 0x62f2bbae, 0x69eebd09, 0xa7e983b3, 0x0b57869d,
+    0x95b6d479, 0x8a9a933c, 0x442190f5, 0x625edaed, 0x4214fcfa, 0xe3dd8939, 0xcaacd93a, 0x5da889d5,
+    0xf96b28d0, 0x479878b2, 0xf2e0a656, 0x12b2db5b, 0x665bdeb6, 0xe8f48c46, 0x99042682, 0xb661000c,
+    0xe38add98, 0xd6a00051, 0x48168278, 0x026604c6, 0x38536f0d, 0x63291397, 0x2f915b82, 0x27a3632e,
+    0xfe031f39, 0x533b2b78, 0x561f7705, 0x6deb923d, 0xe1c6453f, 0x8d2926fd, 0xde03d31f, 0x8ea3b608,
+    0x1af64192, 0x7c887959, 0xfed869f3, 0x8df2bd87, 0x721fc1dc, 0xb1938d9a, 0xb66f87ad, 0x7a989a73,
+    0xe69cca23, 0x18980435, 0xd21106c2, 0x5cbc0a4f, 0x9a9efae7, 0x70d4a161, 0x4c6a632e, 0xa1540526,
+    0x0b9f2ad2, 0x691118a8, 0xb180950b, 0x3a5fc7f1, 0x4c579d6f, 0xbe9e49f2, 0x98c168a7, 0xaa0668bd,
+    0xb787bbff, 0xd9b9c626, 0xda63ec5e, 0xe3deda54, 0x5ed91560, 0x29c4be1d, 0x2ea0e49d, 0xc8a34cf6,
+    0x35919b39, 0xf3254166, 0xc602269a, 0x4f8c631a, 0xbc06b9ef, 0xd3693da5, 0x4833499d, 0xf1d7508d,
+    0x78277c13, 0xcb63f3a6, 0xfcc708d5, 0xd93256a1, 0xa15a8377, 0x35ae71c1, 0x076cae5b, 0x210e0f80,
+    0x7cb5b7ad, 0x5530c8bb, 0x09210e13, 0x52130b45, 0xc5226ffe, 0xc140095d, 0x6c299ba1, 0xc4e1f7e6,
+    0x8eb342d8, 0x694f569e, 0xc1762e0a, 0xb175aa9f, 0xf45e6f59, 0xac1388f4, 0x16cdd6e3, 0xff2b11f3,
+    0x5d69b979, 0x66593289, 0xa813efb5, 0x4affd608, 0x56a42649, 0x10504663, 0x80f26183, 0x8692a96b,
+    0x39350741, 0x545c68b1, 0xd5981eae, 0x704766c1, 0xa872195b, 0xdce8c6ce, 0x88cb701a, 0xe9c99088,
+    0xaa650fb8, 0x86a5532b, 0x87a287a1, 0x25af1e38, 0xd15eb40c, 0x00891077, 0x2cfdb630, 0x76e7549c,
+    0xa6b6855e, 0xddfc8bcb, 0x06901472, 0x8afce3b8, 0x9562b3b5, 0x25a1176a, 0xcae0a3be, 0x0c6af5a7,
+    0x83fc1072, 0x2a2f696b, 0x1a890659, 0xaf88a54e, 0x3da157e4, 0xc0b9cf00, 0x98808431, 0xe10f97a9,
+    0x8379bddb, 0x792947b1, 0xfc77aad0, 0x70a93e2d, 0x67ac08ea, 0x183f27a0, 0x41029cff, 0x92a12442,
+    0x914e494a, 0x9ca12f9b, 0xb3ff4d24, 0x0702963c, 0x98421723, 0xeb837f0c, 0x044358b8, 0x9c2e28cc,
+    0x00000000,
+    0xaa3e747b, 0xca1fbd3b, 0xcf0b3a0c, 0x6d590105, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b,
+    0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000002734063405978764905465\
+                         62778389702670669146178861651554553221325801244124899921990402939147127881728 */
+  { 0x00000000,
+    0x62d3d252, 0xd6e1af1f, 0x105dc16e, 0xf5bd8b3d, 0x9641c6f9, 0xd427e1ed, 0xa898b7bd, 0x68bfcf52,
+    0xb8678591, 0x0ab89bc0, 0x278bf783, 0xe3d49d38, 0x21e00fa2, 0x949538f1, 0x1c6b9f76, 0x0bbf7ae3,
+    0xc39776f4, 0xa890febb, 0x91271720, 0xac7e6051, 0xa9afad9e, 0xd550aa7a, 0xf7964b0d, 0x431e52a2,
+    0xdfda45e0, 0x5e87bd76, 0x8aabd544, 0x7b6e653e, 0xe3f12869, 0x69df2e6c, 0xb7bd2d00, 0x9eba20f9,
+    0x93024b88, 0xf0ffda07, 0x6f372caf, 0x144354c0, 0x6434d712, 0x10b9f7b9, 0x42faa460, 0xc6c55546,
+    0x40bbd49c, 0xfde8e5ed, 0x372ac5bc, 0xb55cfba7, 0xd7026cc7, 0x1e771b42, 0xd79c28b3, 0xa9472f74,
+    0xbf4f8b23, 0x0199f057, 0xf04b9c7f, 0xab787012, 0x19310173, 0x977d63b7, 0x461d793c, 0x7a4b5615,
+    0x8869cf5b, 0x50083908, 0xe368b833, 0xe5aab3d1, 0x700a5f73, 0x3518ce0c, 0xc093135d, 0x954befe0,
+    0xb801bcde, 0x4c9244c5, 0xf1997b1c, 0xe0e28db5, 0xf5754d8d, 0x9fa3410f, 0x51b450a2, 0x2ba919b1,
+    0x165165db, 0xa6d19244, 0x607b796d, 0x2fe63f51, 0x6b1ba13d, 0xe17e8a46, 0x30ea8054, 0x4ff66d89,
+    0x08c1d61f, 0xd463be42, 0x1410efd5, 0x98808f7a, 0xdf137f64, 0x6d0c9703, 0x76a1fbbf, 0x92117abd,
+    0xa48dd395, 0xeef3ce7f, 0x9ccd90c2, 0x5820cda8, 0x403e708b, 0x95c983c3, 0x4ad72028, 0x2ba6a98f,
+    0x692252ef, 0xbe68313f, 0x37612d50, 0x78d88787, 0x71053ac8, 0xd249e66b, 0xb60f2577, 0x07fad008,
+    0x7c71764f, 0xa3b069e7, 0x5f712401, 0x66a546a8, 0x17cab20e, 0x48db7e34, 0x4296636c, 0x6d8be5b1,
+    0xf0cb87a1, 0x8bf31b2e, 0xb338387e, 0x2b5e23d0, 0xedac3077, 0x3e69d08b, 0x1fae11e0, 0xae210486,
+    0x8eed85a5, 0x56a5ce6a, 0x0251bcf7, 0x6794f0c1, 0xb7426a14, 0x48663e9f, 0xa81d9688, 0x99e39323,
+    0x000c4926, 0xb219ff9a, 0x526207ae, 0xca7d9f96, 0x77cc39a2, 0xd2f1defe, 0x12ec310a, 0x94cd1c31,
+    0x0baf2e90, 0x65001cac, 0xd66a03fa, 0xef1d80a2, 0x83f47f03, 0x26baefcf, 0x98db2042, 0xee1d8c1e,
+    0x78a794ad, 0x846c1f26, 0x66df82ad, 0x12028df6, 0x37be7e82, 0x183c2b51, 0xa4ffd063, 0xc5419b31,
+    0xfe3965fc, 0xdec5132c, 0x1139189c, 0x75091d48, 0xd10a5ea8, 0xd25efde3, 0x20e28bf9, 0x8aa7a759,
+    0x60331069, 0xbbd9ce82, 0x9910efbc, 0xa17069dc, 0x268b8e71, 0x83be91a5, 0xfa5f5214, 0x764da531,
+    0x68ebf4f2, 0xd9ff1383, 0x6d379ccc, 0x151b27b7, 0x047c52a5, 0x9afbd22a, 0x60e65ee3, 0x4540f2a7,
+    0x3db91318, 0xdc00c702, 0xfa65b67b, 0x39289453, 0xe9779d74, 0xafdd95d6, 0xd417d70d, 0xeffbea71,
+    0x74b1f530, 0xc0e57817, 0x2451f067, 0x905caf20, 0xac251124, 0x35307274, 0xf084ddc4, 0x7a99eeec,
+    0xc70a1c64, 0x56f82173, 0x37d5f2da, 0xa87b49ba, 0x5e860eb2, 0x5d3d9959, 0x07783619, 0x8c62ebe1,
+    0x5df3e286, 0xf2254e37, 0x938ac3d2, 0x95a3224b, 0x70f001e3, 0x88cf446a, 0xefcfee1d, 0xff70f802,
+    0x7562dbff, 0x4ce6e76f, 0x638491f3, 0x90f0873e, 0xdfffafea, 0xc9f77c52, 0xb5949849, 0xbec8161d,
+    0x94d1ea34, 0x8c580ca8, 0xef9dadcc, 0x8ee78f7e, 0x3f19d627, 0xdf8fd935, 0x6d2a8bd6, 0x61c1a97f,
+    0xbc732878, 0xc1cb3b59, 0xc939076c, 0x1a644def, 0x5bca8794, 0xeeed0dfa, 0xc96a398e, 0xd08b4d03,
+    0xcffdf91a, 0x45bf7e6f, 0xcd2396ba, 0x3588f689, 0xed0209a6, 0xa816d31c, 0x01eaaed6, 0xc9464cb7,
+    0x677e1ddc, 0x5dd5e026, 0x1bcb2b7e, 0xc38a96fe, 0xf49be14f, 0xb3992555, 0x0e896cef, 0xda44bcc7,
+    0x879925a7, 0x8e521fb6, 0xf0793905, 0xeba7f34c, 0x74bf9b6d, 0x53100f19, 0xa6722ada, 0xace295bc,
+    0x9c8a980c, 0x13d01c1d, 0xf8450cdc, 0x881d4c1d, 0x944bff18, 0x6fd21797, 0x54833266, 0xa32d83a9,
+    0xb3506690, 0xda059274, 0x2c338a48, 0x80e0e6ba, 0x5a78b703, 0xe0dc4cd8, 0xfbe1fadf, 0xe63b92a1,
+    0xa78f9419, 0xa3b0867d, 0x2d12dfb7, 0x3cb86eac, 0x29dde511, 0x6031549e, 0x2da6d5f3, 0x3fe02a6a,
+    0x8b7ce656, 0x2cae3ada, 0xb0cf8df6, 0x00a5f2f1, 0x03ea3e7f, 0xa9f8d572, 0xf3c4e254, 0xf988aa26,
+    0x8f4d09c8, 0x07fcfe13, 0x2a936449, 0xd38fcffa, 0x1b09f704, 0x20d1cf78, 0xc980f5e6, 0x4200efdf,
+    0x27bf4d18, 0xa634eb7d, 0xa88f98e1, 0x1a12ba6b, 0x5916026a, 0x2ba55f48, 0xe75f5e4c, 0x0d84d444,
+    0x40382b10, 0x42bca890, 0xf220d6d4, 0xe027e49d, 0x3c23ef67, 0x9b93d7ef, 0x302b92ca, 0x71b32036,
+    0x8ab0cd62, 0xe7f0c49d, 0xbdf5cd3c, 0x29b44688, 0x1b5ee265, 0x01f6f5ab, 0xf25abf63, 0xe180dada,
+    0xe3b3c1e9, 0xffaf68af, 0xb85114d9, 0xbf8d0033, 0x79ba3c21, 0x0cdb1626, 0x1577f3ea, 0x30b7f9f2,
+    0x62732172, 0x8bed0260, 0x1d88cc33, 0x9977a395, 0x385f3033, 0x3f39e286, 0xf199e158, 0xfff93fcb,
+    0x2e5b7fef, 0xed3c23d2, 0x730ff526, 0x3722619b, 0xd5101d1a, 0xf89d51f5, 0xd0a570ff, 0xd108bb5a,
+    0x162e1212, 0x5a6ac924, 0x49b5343e, 0xa92d4f0e, 0x13426672, 0xb6f4570a, 0xaaca6b89, 0xd0265f89,
+    0x29bc0709, 0x0f7703c2, 0x4fe836da, 0xa718e0dd, 0xd1ef8cae, 0xa10ca49a, 0x6d676a54, 0xf8d0ff4a,
+    0x46fada60, 0x3da7f7df, 0x907ef805, 0x4661396a, 0xe11dad72, 0xedb82fd7, 0x3db7b895, 0x62c07225,
+    0x27489262, 0xe653d8a6, 0x9f1f11cf, 0xe4c0a315, 0xe5e3a9f0, 0xd43a587f, 0x5636e7b8, 0x90520b18,
+    0xc733bb09, 0x3d385d06, 0xf6b8dfbf, 0x93187d0e, 0xb6800be3, 0x24603ec0, 0xd8847217, 0x77dd4915,
+    0xa681dae3, 0x7d32c9cf, 0xce1fa5b9, 0xe2436177, 0xeb7a5484, 0x5167679f, 0x12b5cdc6, 0x9323a54f,
+    0xa566147c, 0x6afe2ae0, 0xdbbb74bb, 0xb525fd35, 0x7c9fc45e, 0x3345d088, 0x6e0720ed, 0x7a4e7786,
+    0x2bbba427, 0xcceb1f2c, 0x8ac68513, 0x74fa052b, 0xb4490623, 0xadd2ea25, 0x220b03b3, 0x8320057e,
+    0x379a8afa, 0xb7c93318, 0x809e4f15, 0x23dc4891, 0x31fde693, 0x3af417f5, 0x89decf2c, 0xd88dc49a,
+    0xe4e6b0d2, 0xe1d1c0ef, 0x499192b2, 0xf2133c87, 0xc4897e88, 0xa376a45b, 0xf96ba516, 0x3997878b,
+    0xee08796f, 0x17e58067, 0xcbdebde3, 0xb103dee9, 0x0512ba34, 0x3b1c7f4f, 0xab19a8b6, 0x9fd97364,
+    0xf21ae9de, 0xd966d1c1, 0x44f78da9, 0x1bf30c6c, 0xce26388b, 0xcfba42e8, 0x6125385f, 0x393935c3,
+    0x0a9cb370, 0x29027804, 0xffdca902, 0xcc997914, 0x5b88211d, 0x5452a80e, 0xdcafa506, 0x8b55f5ad,
+    0xd11c9539, 0x287e825e, 0x0171381c, 0xe76a94a2, 0xa17eb457, 0xe7465411, 0xb99342a4, 0x5a353bb3,
+    0x04e1746f, 0x01a63d33, 0x35f62d7f, 0xd50304e0, 0x0c474fdc, 0xaea65d5f, 0x3f6854c3, 0x74297826,
+    0xdf880aba, 0x7c23a1c7, 0x2ee2ce4e, 0x5fec903f, 0xb5caae29, 0xc5498944, 0xabcb0422, 0xfb7a0416,
+    0x19e3d612, 0xa5fc7b00, 0x87e469a5, 0x7758189f, 0x7d8cdc1e, 0xdbe8a456, 0xcfdb2b8c, 0x4cb22a4d,
+    0xa898f25a, 0xec9baeb5, 0x6fdfbae4, 0xb3bc3833, 0x7733bafd, 0xb1dacebe, 0xb0b941f9, 0xd2a00ad7,
+    0xc35c1681, 0xeba17727, 0xfe8ad219, 0xdfc8d857, 0x00d48769, 0xa8ceef8d, 0x7b5a30f0, 0xfc790622,
+    0x4bdec0b3, 0x36981583, 0x2124c9c6, 0x4a53f932, 0xab0d8fbe, 0x101c9935, 0x455a05d3, 0x6a17fdc2,
+    0x336733b3, 0xfbbaf8dd, 0xdb4c88c9, 0xb0a46fdf, 0x2a54cc1b, 0xa63cb226, 0x1cbacc36, 0x4ebf1892,
+    0xf77f2d80, 0xa2454e86, 0xad56bd93, 0x4f9407ff, 0x2fbebdda, 0x803bf589, 0x06a84533, 0x331c8724,
+    0x3794a1b5, 0x2b0abc9c, 0xbaf13344, 0x9e7e56ef, 0x935fd9a9, 0x4265fd0b, 0x04144cca, 0x839baf9b,
+    0x8681ff1b, 0xe05174d3, 0xebd8773c, 0x71e7fd6f, 0xc8bbcc21, 0xcacd7ed7, 0xe1110ac9, 0x12cbc281,
+    0xd73fd217, 0x211ddb68, 0xa43bc723, 0x0273c5a4, 0x8eaae9f3, 0x938953a2, 0x7ab42b37, 0x8d7affa5,
+    0xf7b958c6, 0xe439c356, 0x514a1972, 0xf72828bc, 0x1c22965a, 0xdbaebe11, 0xe5e0dfb3, 0x94a5833d,
+    0xaa6dfd31, 0xd20582eb, 0x1afbff96, 0x3e3e1695, 0x27d191ff, 0x4e5420ae, 0x1eb7cd41, 0x144adc77,
+    0xd280bbfe, 0x52612de0, 0x60eb3005, 0x75b5c95e, 0x2dc93911, 0x24a25a9a, 0x8393016e, 0x42a81669,
+    0xe8cfa6a6, 0x74833d7f, 0x120470fd, 0x8de7debc, 0x9fbc8c4e, 0xb07fca48, 0xac501fbb, 0x8593d8d4,
+    0x4a175c15, 0x3b36d141, 0x095afd56, 0x62e54840, 0xa3df8407, 0x2d82ba23, 0x264aff6b, 0xdef1142c,
+    0x954d8b9e, 0x1323f2a9, 0x1f9fecea, 0x7e922539, 0xb17b789b, 0xf40d487b, 0x235f476b, 0x5aa1eff6,
+    0xb96372fd, 0x3cfcd4c5, 0xa2574b4c, 0xa5480632, 0x01d48152, 0x8328fa37, 0xaef20c8a, 0x59a1b32d,
+    0x315cc3ea, 0x067057c4, 0x1dd9ceb9, 0xd500d198, 0x1e9d0ffe, 0x6bb0e6ad, 0x4fe36220, 0x5bfda80f,
+    0x39c6120c, 0x7e1bc2bb, 0xb81feaca, 0x3bcfed1e, 0x42315e4a, 0x00afdd09, 0x44ccb8ab, 0x959aedc1,
+    0x4d16fadc, 0xf42d1bb5, 0x45f2eeb1, 0x34477c8a, 0xfd53b7c0, 0x54cc8255, 0x0c7529a3, 0x6c7e0c5a,
+    0xcbf4860c, 0xddb8c4cd, 0xa09b19f6, 0x00d4ed76, 0x93c06b54, 0xa24e79f5, 0xc1c265b0, 0xae36eda5,
+    0x1195aa6b, 0x00a0c831, 0xb10a6f6c, 0x22c19402, 0xbff74aad, 0x754741f7, 0xcf8573ed, 0x67d42ce0,
+    0x0879c476, 0xa1d83779, 0x64173dd0, 0x4c10a9fb, 0x84ca4ba1, 0x8f465717, 0xb790d115, 0x2558043b,
+    0x773d5ab0, 0xef2bd759, 0x6e2a561b, 0xeedd3826, 0xbde6eb4c, 0x987b2d43, 0xbbe9b7e2, 0xf74502f5,
+    0xc2e73820, 0x686b9204, 0x5de86d82, 0x62f50827, 0x14a786b6, 0x21df12e5, 0x4d23bcd9, 0x481d1c28,
+    0xf8d35875, 0xc7b2c018, 0xceb78939, 0x513e35fe, 0xb74bddfd, 0xd26944a1, 0x3ff1e61b, 0x89df685c,
+    0xe5121c9c, 0x9d13857c, 0x48ac8ee5, 0x45265d18, 0xf216fcf8, 0x6e4f349a, 0xbdc438ee, 0x9f26c156,
+    0x3103ec2f, 0xc6ced2fb, 0x2fffe74f, 0xdf6323f9, 0xedec9f93, 0x980e6ab7, 0x8c405454, 0x5aa4a6a6,
+    0xa7a382e0, 0x815498ef, 0x702da0b2, 0x7a44e2ae, 0xbf1f5e3d, 0x5b47a800, 0xd150b9ae, 0x44db9e79,
+    0x1a49f396, 0x95ed3f16, 0x8e0a2b4f, 0xd1fea415, 0x3da913e0, 0x902c5525, 0xde0a6798, 0xe6167097,
+    0xeb69ef43, 0x0e6a036c, 0x4ea76216, 0xe5b2e154, 0xbce2aebf, 0x7bdc3f60, 0x2ec720ae, 0x5368599a,
+    0x41d24418, 0x84a958f7, 0xeb3c0248, 0x0af6d8af, 0x06cdae07, 0x15472a7a, 0x0c29e6ba, 0x4b1d984c,
+    0x1789de70, 0x2deebe75, 0x85e6f74d, 0x1f928354, 0x1382eebe, 0x8cea9b6a, 0x27e2222b, 0x6c7319b1,
+    0x15edfe0c, 0xac739046, 0xef279cb3, 0x06df111d, 0xf30c118f, 0x822d6edd, 0x05551ad6, 0x76fd3098,
+    0x8c6a6029, 0x5381115d, 0x0cd77b60, 0x4fea1fb6, 0x4b7bd710, 0x89471c14, 0x4dc3a2c6, 0x2ff44f47,
+    0xac37898d, 0x182fa9c9, 0x9655b3a3, 0xe7253003, 0xa79f416f, 0xd6d3bac6, 0x111e6fd9, 0x96aebc59,
+    0xdad2b9b6, 0xf4d45f34, 0x02261043, 0xa8cf7f99, 0xcbf3ccee, 0xf15d0fed, 0x79570954, 0x54ab930b,
+    0x5fa0fad3, 0x3a69320c, 0xf82de0d1, 0xf58eeedc, 0xf163d054, 0xca9b9840, 0xa3fbfd49, 0x9409b225,
+    0x6f1137cc, 0xe0cee5f1, 0x900b91b2, 0x6baaa2cd, 0x66b3a4ae, 0xce13e6e2, 0x158bf60e, 0xd101c7dc,
+    0x3af512ec, 0x165f538c, 0xb4a8b27c, 0x3a8e3f86, 0x368107ee, 0xbe7257b5, 0x757ae8a8, 0xf7d50059,
+    0xf562d477, 0x73f780c1, 0xf7fcf96d, 0x72cfb24a, 0xa55830ee, 0x6f0fd5c6, 0x0cb57acd, 0xcb6ed9f2,
+    0xdc5c0681, 0x85f35b7f, 0x250d61bd, 0x204798e5, 0xc91d0e7d, 0xff0fc7b9, 0xf20cc6be, 0xd0cc9868,
+    0xaf2a6ab4, 0xa1d22666, 0xd839a3da, 0x1f4ef708, 0x36abafad, 0x5fb718a1, 0xc7fac720, 0x10fb9d2c,
+    0x7fad5493, 0x1e6d66d1, 0x766341ca, 0x5e939def, 0x98235f9a, 0xa7b948e1, 0x1da5bb32, 0x0c3f3801,
+    0x7ffcda4e, 0xb9117b5c, 0x60b1f24c, 0x4bade24d, 0xcc63409a, 0xdbad07e7, 0x02519a73, 0x46782b8d,
+    0xd8f79cca, 0xe66b2050, 0xe701ceea, 0x962cf4bd, 0x6ada90e7, 0xa3172059, 0x4dc2f4fb, 0x93006560,
+    0x250e35f5, 0x10377713, 0xd84578f3, 0x97bd3af3, 0x13d5fe9e, 0x84939f13, 0xa3190eec, 0xf18b3cca,
+    0xf60c1c27, 0xf2e8a5c5, 0x0e299105, 0xc31eaa6c, 0x2c9c382a, 0xe7fd5f5e, 0x6eada2c3, 0x56500ecc,
+    0x06ba6b6e, 0x07817560, 0x8ac723d3, 0x5a2bbab0, 0xd857f9b0, 0x0d635a63, 0xc2a9fcf9, 0x8a31e88c,
+    0x83afdf79, 0xf5685cb0, 0x6519d615, 0xf29792fb, 0xc74c4f36, 0xd550c036, 0xe1d901d2, 0x72c5c501,
+    0x826a1fd4, 0xbac3f789, 0xd2936085, 0x63ae7c98, 0xe753589f, 0x967c59df, 0x9c79fe54, 0x7523552c,
+    0xb6f1b24f, 0xfc7f0c02, 0x23d16b82, 0x87800f72, 0x770f4912, 0xe09775b9, 0xfb96e3e3, 0x396d5ab6,
+    0xbb37f235, 0x0696d06c, 0x9adb976d, 0x6f9aaa85, 0x83cadff5, 0xc7e60540, 0x647e3402, 0xd8f35e60,
+    0x59146f65, 0x5cae8a72, 0xf66ed7f0, 0x9d48060f, 0x55d6ef32, 0x13e1c6be, 0xb3ba12d8, 0xed66cc1a,
+    0xa7cef646, 0x4e078506, 0xd40b0843, 0x4435315a, 0xcd24db8b, 0xdaf5d5eb, 0xaf46a1f6, 0xac1ad61d,
+    0xb8616241, 0x31f710c1, 0x9afc2316, 0xf12f3e4e, 0x62b0907c, 0x47c03841, 0xcefd5ad1, 0x1d1cb589,
+    0x7d2c91c8, 0x3bbedb76, 0x92533553, 0x13d521c9, 0x5dd43b7d, 0x18461a09, 0xc23df8ae, 0xe7409d48,
+    0x511f7104, 0xcff75070, 0xbe093ca0, 0xa6759eb5, 0x608becab, 0xdbd962b9, 0x1db42094, 0xe90dd3ea,
+    0x509e8c82, 0x034c7c12, 0x15e82b13, 0xcb0925ee, 0x8096dd7d, 0xb383748f, 0x1f8a3d57, 0x294539dc,
+    0xcd6df354, 0xc2ee3a92, 0x4384e7c2, 0x7299b163, 0xc5af3142, 0x592a2163, 0x0a9c5036, 0x31b81601,
+    0x32fd6e4e, 0x985a803c, 0x6d5b736e, 0x7fdd757e, 0x6f4410aa, 0x1a0cba0e, 0x325afe11, 0xc5796c02,
+    0xc40e360f, 0xcb7b087d, 0xe3847d04, 0x36af335b, 0x0d052665, 0x0ad1fe69, 0x30ac28cf, 0xb7f74e8b,
+    0xb4144d43, 0xf2b54bfd, 0xf5b79c6c, 0xa0b87044, 0x7bb93f09, 0x868bbefb, 0x7bda4ca4, 0x62a45287,
+    0xfd3bac93, 0x04607744, 0xfd28913f, 0x7fb90979, 0xaea8320b, 0x8843a887, 0x78c10ba6, 0x6d2ae277,
+    0x962040fb, 0x072c8b9e, 0x56ab07b0, 0xb05e9012, 0xf44a6b64, 0xa70bf2cb, 0x3c2d52d3, 0x12b9ab16,
+    0x67c57a98, 0x3b220d6e, 0x8aa73509, 0xb1159313, 0xc4d1c6d1, 0xda00c7b9, 0x242f90f5, 0x416a7d14,
+    0x361c2d30, 0xa83a4306, 0x1d4a8478, 0x5dc07e12, 0x1b1a5132, 0x00a12f3e, 0x50ba213c, 0x854d9e56,
+    0x1cb4ecca, 0xd81ea879, 0x83f60948, 0x46baf2e8, 0x1c7d75a7, 0xef6609e8, 0x45b29752, 0x8d63cae4,
+    0x00000000,
+    0xd51f3a3d, 0x650fde9d, 0xe7859d06, 0xb6ac8082, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d,
+    0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000001367031702989382452732\
+                         81389194851335334573089430825777276610662900622062449960995201469573563940864 */
+  { 0x00000000,
+    0x4cfdfaf4, 0xa5dd5d17, 0x3dacb422, 0x0fb86967, 0x2ad6b1ee, 0x56c4196e, 0xf3176893, 0x418de40b,
+    0xf5fcc0d7, 0x08caeda4, 0x6cbbc13f, 0x6e9b04a1, 0x9ea20ce1, 0x34a11e9c, 0xaa662d29, 0xab6e67ed,
+    0x8f538201, 0xa933ba06, 0x151128d2, 0xf974f53b, 0x44037f5f, 0x232c6964, 0x669af796, 0x751b4818,
+    0x13309e19, 0x3e0f4ee8, 0x749c3160, 0xe0be1036, 0x95f367b3, 0x04c0dbc4, 0xf1abf301, 0xe34c39a4,
+    0xfae58ddb, 0x38cddc53, 0xc3ca3c36, 0xce73db7b, 0x62236e79, 0x4f769ca7, 0x8134cfd0, 0xf809899d,
+    0x9e4e2ec6, 0x7402ea9b, 0xc48020a5, 0x03df451a, 0x1cec3fef, 0x092094dd, 0x20e2d68e, 0xf0913201,
+    0xd7782d45, 0xf1ad5f68, 0xa8d613cd, 0xe30b3fe7, 0x126f0177, 0xf615a03d, 0xab759d85, 0x32a07e77,
+    0x85506617, 0xe25b08a9, 0xb0479917, 0x5b869eff, 0x31969e57, 0xbeb24d24, 0x16bd46b7, 0x5d85043e,
+    0x3f848ca3, 0xc6958205, 0x4b53b15c, 0xa1dd7d4d, 0xa176aa0e, 0xa7608e17, 0x962bc5da, 0x4d403af4,
+    0xe2e0719c, 0x1d0794f8, 0x02f95abc, 0x242b7d91, 0xfb3be297, 0x4f75fb75, 0xdd060529, 0xb092ddda,
+    0x5795cc97, 0xed0daa2a, 0xcfea3ba7, 0x512b2099, 0xe84d14ca, 0xf06a4f96, 0xb6c3407b, 0xd792f537,
+    0xfb2fc0df, 0x07efb1a5, 0xef2b4e55, 0xd4ab0262, 0x2fedc93a, 0xb155cad4, 0xe7e074e8, 0x3c9b0f22,
+    0x1b066b10, 0xee5298b7, 0x2ef0e5bb, 0xdd3da317, 0xe726ad62, 0x2dae0de6, 0x6e15bb6d, 0x51be118d,
+    0xe42b96cf, 0x06113ccd, 0x30ff1393, 0xb8a13868, 0x9e3184c3, 0x7c0b3c0f, 0x468ddd62, 0x9b0baf06,
+    0xd21f3780, 0x31233bcf, 0x930983a4, 0x2566f8a6, 0xf4b4ea53, 0x4732da09, 0xe9e5f338, 0xaba77218,
+    0x5cbef0e3, 0xcbcbe6ce, 0x013bd443, 0x5371b27b, 0x42fa86ef, 0x0a21b7cc, 0x495f4dc5, 0xf8fb7b29,
+    0xb4c11d74, 0x8d6eb585, 0x0a30fe40, 0xcfcb8d1e, 0x77d61dc7, 0xa67a89bc, 0x6baf2f73, 0x39d60470,
+    0x7ff2e123, 0xfe4ca59b, 0x1caf6522, 0x73fe1f14, 0x744f83bd, 0xb6c341fb, 0xf3d080cf, 0x03faa3f7,
+    0x3bb0a2c9, 0xf1dd0e29, 0x721616de, 0xd9464013, 0xd4c860d2, 0x711b3e64, 0xe4808924, 0xe418218c,
+    0x7530930d, 0x416415bc, 0x73c48fd0, 0xe878b71e, 0x5c458242, 0x50beac7c, 0x0e002be8, 0x2fff2f9e,
+    0x31370b9a, 0x864cc937, 0xd317eafb, 0xaa31b3b6, 0x54995a68, 0xf2e4530b, 0x6e55d823, 0x8adca4d6,
+    0x58cb7dba, 0x2ec54827, 0x77e36216, 0x0fabecb4, 0x3fd9d2da, 0xa031d7ee, 0x65c653ff, 0x641c0aa4,
+    0x1326b14e, 0xdde0a2c6, 0x0ec0c579, 0xeea7feda, 0x616365d7, 0xa2212863, 0x81b90abf, 0xcf2c55c6,
+    0x82a6d911, 0x1fe6d180, 0x53e0cef4, 0x72e6c4b8, 0xbb0299c0, 0xc942d2d1, 0x54a34787, 0x1a1c66f2,
+    0xab640709, 0x06f48d75, 0x04d73da4, 0x348bf082, 0x74ca83e6, 0x0f40ec8c, 0x84d2f391, 0x260088a8,
+    0x54937250, 0x262c1ec8, 0x30fe37fb, 0x153e738d, 0xbaed9c56, 0x0b55db40, 0xd765147b, 0x236340c4,
+    0x4d89c690, 0xb1ece260, 0x8139a04b, 0x1504c0bf, 0xdc310066, 0x19b30754, 0x53654d26, 0x78fc2224,
+    0x03bbbef6, 0x347b5d12, 0xb081c3b8, 0x6b92bb17, 0x275a23ca, 0xec7307cd, 0x0c617f15, 0x30e24b59,
+    0xbfd6b3ea, 0xa741dfb8, 0x7fbf91ca, 0xddf5394d, 0x984d4b5d, 0xea557be9, 0x12feacdc, 0x0a3f900c,
+    0x1451f9aa, 0xf5b184ad, 0xc1a55f03, 0x4c36d272, 0xd5e7f241, 0xe2e6d51f, 0x12dcb147, 0x27a81ef9,
+    0x98930044, 0x1aac0112, 0x826e9b3e, 0x5378a407, 0xc6221bdb, 0xa208c77a, 0x66ca5ceb, 0x82756e74,
+    0xd3056f59, 0xbe09b13b, 0x530e5bb7, 0x2de92a98, 0xc8c3cb5c, 0xc7631a5b, 0x844ee73e, 0x0065caf8,
+    0xde7c6889, 0xf6a1fbc0, 0x8c5d52d8, 0xeca88a93, 0x32ee8b88, 0x869d7a33, 0xc0cf605a, 0xb19979b7,
+    0xff0111a0, 0x659df7e0, 0xc1ef2920, 0x900610d8, 0x3b6533c8, 0xe804c244, 0x565b571d, 0x1e330cea,
+    0x1049bfe1, 0xa4b48922, 0x882e127b, 0x8b37e31a, 0xc578af09, 0x0035f77a, 0x771d7085, 0x86d0e1a7,
+    0x472a024c, 0x55b1d1a8, 0xe1c5be32, 0x6c1d1354, 0x401ba183, 0xc3a826fe, 0x47b610a6, 0x91570698,
+    0x94e65493, 0x6fab7e1a, 0x41e6790a, 0x4444e363, 0x7adb8a12, 0x95d07abb, 0x7415e8b3, 0x2d7b7b0a,
+    0x1b80b427, 0xc8661401, 0xabbd70ad, 0x94de38bb, 0xffb63131, 0xd9062b06, 0x1a57302e, 0xc030a828,
+    0x5c12cc47, 0x340e7201, 0xf566956f, 0x5223282d, 0x33310334, 0x1c48ad26, 0x50f717c4, 0xfb4c00ee,
+    0xb060cd37, 0x2a2634f8, 0x71d5e36f, 0xb4b550ee, 0x6a93a9a4, 0x691795e7, 0x2b69db06, 0x26b33d07,
+    0xb8020818, 0x5ef72b26, 0x2d6b9756, 0xc10bce21, 0x3ce0db74, 0x2945ab42, 0xe8dc05ee, 0x01cf524f,
+    0xb709ab9a, 0x11cafd40, 0xfb535c36, 0x8b3edfcd, 0x684bb965, 0xb982cd7e, 0x26be333d, 0xd3ea619f,
+    0x250ff045, 0x322e6de8, 0xdb4e1dd5, 0x9169f42d, 0x0672f440, 0x3a96ea16, 0x8d4a23bf, 0xb2faba82,
+    0x81f4319e, 0xacbebe2e, 0x669281da, 0xf6024b4b, 0xa699e735, 0x6ecf67fd, 0x7947d534, 0x1a21e0ba,
+    0x6f92cc85, 0x1f7fd696, 0x3313e087, 0xaadf36f6, 0xeb6ad5d2, 0x0567aaee, 0x7b8070a7, 0x78bb5809,
+    0x89020b58, 0x854d7e7f, 0xd51951f8, 0xbd7c30a5, 0xf7065739, 0x89595047, 0xde87204a, 0xada82e8a,
+    0x44cf16f8, 0x4cf24c96, 0x823e32fd, 0xdad0de9e, 0x7f3ca6e9, 0x13c00ce9, 0xc1483cfe, 0x66bb62bd,
+    0xaa372a8c, 0xd92877ed, 0x3a1dca72, 0xcca8bb42, 0x9293cbbd, 0x0137cbe0, 0xe543be1a, 0xf43657ec,
+    0x729a60a0, 0x07df7b81, 0xbad41cd9, 0xb21f4664, 0x0ce14a2b, 0x3c41773b, 0x8c31be81, 0x72fb162a,
+    0x2f5f981b, 0x8f33bd29, 0x098f6b0d, 0x8adb3c7d, 0xc48716a5, 0x1163b64e, 0x62442fb8, 0x9d0bfbfe,
+    0x02d9c2fd, 0xd0b22247, 0xe3784e1a, 0xcfa48ffe, 0x0034532c, 0x75757366, 0xe1140d7e, 0xaebae93c,
+    0xa591f277, 0xef930366, 0x392d0ccd, 0xec45f1f4, 0xc4a87e23, 0x9e27f20b, 0x50e0d995, 0xf9fba2de,
+    0xb801807e, 0xd140325d, 0x461cf2c7, 0xd70627f5, 0x4d2233bf, 0x7ee8bc51, 0x10dc7927, 0x80bcfcd2,
+    0x5a30c7a2, 0x96bee093, 0x05e754b3, 0x97fbcaa8, 0x7327f110, 0x563be7df, 0x701fe1ac, 0x19f9a3e1,
+    0xfab77bee, 0x171c1c9d, 0x940d92fa, 0x91355d5d, 0x1ff7e821, 0x1b505369, 0xe09d2d81, 0xdcf613c0,
+    0xa2463bf5, 0x15171aff, 0x03f58bd0, 0x2bdd04ab, 0x02cf3ef8, 0xcccddbbc, 0x28c0f1b5, 0x96a55c34,
+    0xc4a64de7, 0x30acc763, 0x0add5444, 0x90d246ca, 0x7a1c1207, 0x35891140, 0xe137b378, 0x4221af03,
+    0x214bb5a8, 0x41d8b0c1, 0x184e4c88, 0x6a24ed54, 0x66f99e51, 0x111d5026, 0xa466873b, 0x9bf42af2,
+    0x3559d481, 0xbb00af45, 0x9450fcf8, 0x49464bf6, 0x99809953, 0x7a307fb2, 0xcd40a761, 0xbcbdcb0a,
+    0x8aa35e98, 0x1c4fa149, 0xcf550635, 0xf920a120, 0xc00680b1, 0xd47bafb7, 0x7c08da8e, 0x44a4c8a9,
+    0x896d390d, 0xa2b12b4e, 0xf46053b8, 0x25673a6f, 0x2d90aa3b, 0xe4bd1cc3, 0xab1a01d7, 0x048655dc,
+    0xec6566bd, 0x2c06fc59, 0xea24baea, 0xba7b9935, 0xffcee337, 0xab4f7267, 0x0b4bbaaf, 0x471c415c,
+    0xbbf24b07, 0xa76f4bac, 0x0cf78539, 0xc86d9d10, 0x74df077b, 0x0c740bdf, 0x5db52eb6, 0xe0abba93,
+    0x34d3e182, 0x3db730ab, 0x8b7d5a7f, 0xc9881f89, 0x4deefdfa, 0x01989510, 0x7ee66e90, 0x65ed2cdc,
+    0xc2ac6c8d, 0xfbd0be52, 0x97006bb1, 0xfdc0664f, 0x9fde74fa, 0x0eb98829, 0x88ef270b, 0x4b8a677c,
+    0xf852ad71, 0xf9d80d2b, 0xc69b4397, 0x3356848d, 0x410cdba7, 0x0136db2b, 0x2f264fb7, 0x4cd2f016,
+    0xc8092015, 0xdd080f6e, 0x9a8487bf, 0x09ec63cc, 0x458d45ca, 0xbd6f0c7c, 0x8415b62e, 0x65877752,
+    0x6d84fa7c, 0x204cfee7, 0xa6a72ac9, 0xf5aafe5a, 0x112be365, 0x65a5cb08, 0x3fa7d139, 0x84656373,
+    0x9dc6af22, 0x5e1e9460, 0x7784bbb1, 0xd5233465, 0xddbc1bdd, 0xb94d6ce2, 0x6b117b4c, 0x08ca8e48,
+    0xaf5e5d8e, 0x43ef70de, 0x420f3b4e, 0x48b2d50f, 0xf5a39f92, 0x6e3186e7, 0xfe5df37d, 0x40db1483,
+    0xd2c95c80, 0xe7729c1a, 0x3b5a6020, 0xa1b63bb7, 0xf6557238, 0xf068096c, 0x3456e075, 0xc28e8252,
+    0xf5f9fbf0, 0x20befb21, 0x41094556, 0xe8fb9015, 0xc8ef08ff, 0x1de12516, 0x5d6a3668, 0xbed9f9cb,
+    0x9595c1ce, 0x2cd2ac10, 0xb9cc6636, 0x6a0b13f5, 0x0c898765, 0x9b7b80b4, 0x2d21d952, 0x87d4420f,
+    0xbb68ec5a, 0x6045af1c, 0x7abfd540, 0xff463c29, 0x97ff0888, 0x92b1e473, 0x7629bf60, 0x9a8e15b0,
+    0x4943c0ec, 0xeb4b3cde, 0x72de0e24, 0xb1466fa7, 0x00eef996, 0x48d86427, 0x9ed7fdd3, 0x10bdb19c,
+    0x17189c37, 0x606916f1, 0xb250be53, 0x1be5c347, 0xd9494609, 0x5c330f76, 0x40243980, 0xc20247b2,
+    0xd9c74884, 0x72a8fbf1, 0x1fae2882, 0xd2830d0b, 0x6929a595, 0x8213d28a, 0x86d43d83, 0xcc0d2e4a,
+    0xd5cea278, 0x366decff, 0x5647b741, 0x353176ef, 0x6d090d64, 0xb3ba5ee5, 0xdc12bc04, 0x8a0709f9,
+    0x12dca342, 0x41a6fc5f, 0xb66dc419, 0x32db983c, 0x36203587, 0x8a4b155e, 0xc071c393, 0x709f9c17,
+    0x19351d5e, 0x43708e8a, 0x1dc56710, 0x3365b0f0, 0xffc7e4f9, 0xc6427d70, 0x92361234, 0x3b86fa3b,
+    0xaf45d4d3, 0xf99e5960, 0x63e65e4f, 0x790d93c5, 0x3c0ee48c, 0x6c24378d, 0xfdda9826, 0xbd85b784,
+    0xe7d741a8, 0x31a087f2, 0x220178f0, 0xdba5f754, 0x56763f5c, 0xcdb5cd07, 0x6bed97f4, 0xd0166daf,
+    0x2782d484, 0xbeab5465, 0xb504bf53, 0xc02581a4, 0x0c6f2b2c, 0x937f155b, 0x6b78d4fa, 0x8a75ff96,
+    0x899f4b6f, 0xecdfb532, 0x33f41b51, 0x5595f277, 0x907c274d, 0xdcd94126, 0x923fe372, 0xe36941cd,
+    0x4f983361, 0x76569ecd, 0x28c4fd0b, 0x61a24397, 0x62030154, 0x5eb06e29, 0xd7b33b3b, 0x081e2dde,
+    0xdc4e9fbf, 0xa7f1292c, 0x0df9d547, 0x764e61a6, 0xf00d4f5d, 0x0784eaa8, 0xf22597f4, 0x5f7cfa8a,
+    0x52d11ac3, 0xdb4c6218, 0x641aeb50, 0x3069798c, 0x9f06a728, 0xf19a3e2d, 0x7a1b479e, 0x356f555b,
+    0xd341bd08, 0xee447545, 0x85be3ed5, 0x6d85d8d2, 0x76dfcf25, 0xf50e0700, 0xfdd98b7a, 0xd420ae94,
+    0x3fcca32b, 0x3ccef0bd, 0x04733816, 0x17ffc59c, 0x8dd1044d, 0x299aab85, 0xf1fe01aa, 0xefd7ea02,
+    0x8c71098e, 0xbffa5509, 0x8840a00b, 0xf641ae01, 0x60f15fef, 0x1642d99e, 0x4d2c0218, 0x10139c28,
+    0xcd532bee, 0x21150303, 0x4949392c, 0x0112bb6a, 0x9da8bbd8, 0x06057df2, 0xc01c1176, 0x85b26537,
+    0x03770093, 0x58c47fb1, 0x138e3eec, 0x4fd78fee, 0xc52e0080, 0x7e345179, 0x8c3c5604, 0x04ecfa8b,
+    0xd3429f86, 0x289ab703, 0xf0bab0cb, 0x0369383b, 0x29c26c89, 0x39c250e7, 0x5c8943b8, 0x8088849e,
+    0x0acd185a, 0x0bf8241f, 0x3f17b2a9, 0xa2326771, 0x5394fe25, 0xc4395f9d, 0x0c1669a2, 0xe7dc4355,
+    0x2f47ac46, 0x30b95468, 0x81729e97, 0x21c03518, 0xe8ff1442, 0x6d16876c, 0x3916fc66, 0xdb047a61,
+    0x089a4cb1, 0x1d1d258a, 0xcd0c7bef, 0x11354b98, 0x67d1cd2d, 0x3199926f, 0x0a13fb74, 0x7dfb297f,
+    0x99eab98e, 0x655501cd, 0x249f9da0, 0x41ddfae5, 0x1c790b19, 0xccd925fe, 0xbcfd503f, 0xdae05c10,
+    0x91c76072, 0x1b65e253, 0x0fe2baba, 0x208237a6, 0xe678fa72, 0x7777758c, 0xb6593afc, 0x0dbb23a9,
+    0xba3b1d02, 0xbe42ab63, 0xcff49356, 0x15bdd1fb, 0xd868f5f5, 0x59573402, 0x20d40511, 0x497ae93f,
+    0xd57506c8, 0x38c4125c, 0xd5893c0f, 0xdedf6464, 0xe958a83a, 0xac2842ca, 0xd2d2758f, 0xf67fcf54,
+    0x8271f509, 0xe33f6abc, 0x5e2d8f81, 0x1da98931, 0x0403899c, 0x356bbd45, 0xdeeb0018, 0x577bdc93,
+    0xecf5fcd2, 0x222154b5, 0x88852cb1, 0xd7c1ae3f, 0x9da936db, 0xd06b3925, 0xc4c18253, 0xbf202770,
+    0xe0ef765f, 0x3b09c3c8, 0x3132c035, 0xb985d826, 0xc7e25128, 0x1dc4c667, 0x8ee7d4a2, 0x277e3d7f,
+    0x63a48f6c, 0xf516ebfb, 0xaffded0c, 0x4fe424d4, 0xdf1710ab, 0x08a6ef24, 0x5f648d5a, 0x2c774c8d,
+    0x55d3d84d, 0x3fde88b5, 0x762d5f88, 0x2f508b31, 0x90fe6d78, 0xe0646641, 0x6d6a2d9d, 0xcc57aaa8,
+    0xe5d86496, 0x8f2d8b3b, 0xbbcbeddd, 0x9df656be, 0xfa07444e, 0x3bdbeaed, 0x0a5783ce, 0xfb46f681,
+    0x39f6334e, 0xae1dd117, 0xd0877372, 0xd5e0732d, 0x992459f8, 0x8739f223, 0xbb4f4da7, 0xf2bd350f,
+    0x6696af13, 0x911a5010, 0x44257f85, 0xfed83cc9, 0xd1d6a6e0, 0x8c5d3383, 0xd673502a, 0x55c951b4,
+    0xad0bf90a, 0xd63fe37c, 0x941710d1, 0x0936718a, 0xc391bc2f, 0x2c5e1f3f, 0x4ed7b61c, 0xc9236197,
+    0x2fec4bdd, 0x53784137, 0x7d54af4b, 0xc8b850fd, 0x1ea679a3, 0xb28e4471, 0x5651009a, 0x3b82c5a4,
+    0x51be15de, 0xcc0f7253, 0xe9c6df79, 0x1887502f, 0x400d8815, 0x69bec9cc, 0x668f6362, 0x39835a62,
+    0x633caa17, 0xae06d0c7, 0xbd4f2b76, 0xf3de8440, 0x4a4e7cb7, 0xd7f39270, 0x150e575c, 0x9383fb7c,
+    0x8541dd84, 0x1696e785, 0x3db76d9e, 0x2f008f8a, 0x3d339af2, 0xfbb46db4, 0xc37fb9a3, 0x5940fa1e,
+    0x416f8065, 0xc702a7e6, 0x84583418, 0xb45aa568, 0x64f8a715, 0xea97acb3, 0xd36c1f1a, 0x833671aa,
+    0x12cc7fe0, 0x1d5d6cde, 0x94a7216c, 0x019cee81, 0x8a77aaf2, 0xea5bf966, 0x087c66d7, 0xc9bf780b,
+    0x6b781461, 0x4f2fe52e, 0xefc657b5, 0x01d1d26f, 0xea8e0011, 0x9db4f78e, 0x6babd168, 0xaa96f42d,
+    0x0ae63be0, 0x7cef34cc, 0xb596d744, 0x02d5b100, 0x50777c77, 0x45189e5f, 0x4823365e, 0x705ec6b1,
+    0x81da3dfb, 0x47472663, 0xf8fe24ed, 0x9c8e3c1d, 0xd78a4f42, 0xbd1fd4bd, 0x75caff2a, 0x2d03f33c,
+    0x92944a6c, 0x359111f9, 0x2792f7eb, 0x24b731dc, 0xae57e609, 0x9d8582f5, 0xac78e023, 0x6954e11e,
+    0xccc124d2, 0x381b2433, 0x4a31de28, 0x25fb6173, 0x4e52f823, 0xf3aaa9fd, 0xe7497950, 0x755f8128,
+    0x7fa005a9, 0x6b6688eb, 0x6afa3e0b, 0xe6a73b3d, 0xcae8733c, 0x35105a8d, 0xd3806bfe, 0x19e09d46,
+    0xeeb34426, 0xffc913b2, 0xa9a63db8, 0x36999ca9, 0xff6c8eec, 0x5a85cc0e, 0x6662e031, 0x243dd46d,
+    0xc12e64af, 0xc0d1e688, 0x09eff181, 0x8d606eba, 0x65d19954, 0xe7735230, 0x9f81d57c, 0x26d3e21b,
+    0x8d4b0e2a, 0xf2a8bf8a, 0xae56cdcf, 0x74814e61, 0x80a4cacf, 0x7b88a5f4, 0xd56f55aa, 0xd10a7b50,
+    0x336ae7e7, 0x22104067, 0xff7c02fd, 0xd229f454, 0x1ba7aa3f, 0x5d4d0d1c, 0x93809b2b, 0x6c6fd3e9,
+    0x95328d4b, 0x54fc4ea5, 0x76fc593a, 0x552b9dd9, 0xe84cf68b, 0xd979d218, 0xbabfbdd1, 0x868746a6,
+    0x00000000,
+    0xea8f9d1e, 0x3287ef4e, 0x73c2ce83, 0xdb564041, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6,
+    0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000683515851494691226366\
+                         40694597425667667286544715412888638305331450311031224980497600734786781970432 */
+  { 0x00000000,
+    0xcfd611d8, 0xcd709b58, 0x7edf6073, 0xadc5085d, 0x402e703b, 0x4434ec63, 0x4f947caa, 0xf81881d7,
+    0x5540961a, 0x6f6a9aed, 0xec079fdb, 0x4d0cdaae, 0xa13b0660, 0x94a8c0a9, 0xd1734113, 0x98fc8b6a,
+    0x2dcbd4a0, 0xa32214d9, 0xdadf0055, 0x4f21fc95, 0xc5e48517, 0xcc0fbccb, 0x3592e474, 0x292e8db4,
+    0x6d1890c0, 0x20223255, 0x2ceeedb9, 0xd2d738f0, 0x3f660afa, 0xdbdb6431, 0xd24f33ba, 0x993d7de7,
+    0x17ace183, 0x27599140, 0x6ac7cd9b, 0x6fce3fd5, 0xb90daba5, 0x1f44e1b1, 0xa8242224, 0x3eac755c,
+    0x3e04b313, 0x3dc92814, 0xaa31b834, 0x57d56194, 0x464e0808, 0x9e2b646b, 0x5d5f7c6b, 0x42d5a34b,
+    0x04db262f, 0x1cb695ec, 0x9ce7c8ce, 0xbc133d6e, 0xf89dc803, 0xf3bf388e, 0x213929c4, 0xd17984e5,
+    0xe7797b99, 0x80a2a1c6, 0xd59b3d2b, 0x466a324c, 0xd21cd4b9, 0x20900cc5, 0x04010177, 0x8a54855b,
+    0xb1f0b133, 0xb601477d, 0x579f368f, 0x37278d84, 0xf929057d, 0x24e67988, 0xa8154f8f, 0xff82d0a1,
+    0x7955338b, 0x2d072d2c, 0x97713832, 0xdc4ffa0f, 0x22ab3c61, 0xe708050a, 0x23b27a3b, 0x970e0f56,
+    0x1172be17, 0x3a56588c, 0xb840b681, 0x28a68c24, 0x594c8181, 0x2da67f69, 0xd71919de, 0xfe9b6ada,
+    0xefc0dca8, 0x4410707f, 0xd27bc5b1, 0xed2ac101, 0x8a865c5d, 0x78130d90, 0x1b847994, 0x954ef941,
+    0x0af8d35f, 0x8afe4d1c, 0x4dd05872, 0x31281ab7, 0xbb84991e, 0xe0d3075d, 0x31e480b5, 0xf784ad86,
+    0x4548d69e, 0x5c6fce13, 0xbf150e08, 0xd5c6aad7, 0x8b58df0c, 0x99ca39c1, 0x6ae32259, 0x01d346fa,
+    0xf9bce472, 0xf3f5fae7, 0x70331b48, 0x5fd4b3d9, 0x0f52faa8, 0x467b94f3, 0x828cb99c, 0xe108a08a,
+    0x31585586, 0x31cead2d, 0x2f92ca4c, 0x3343a3ce, 0xc4767ccd, 0x90834627, 0x0065b883, 0xb78d92cb,
+    0xffe139f8, 0xe565917c, 0x4641a36a, 0x0f0fce05, 0x1dab2b8d, 0x04e91718, 0x3049adb8, 0xc9eef5c1,
+    0xe4b8d6f9, 0x40a8d774, 0x5ff39293, 0x56130937, 0x7546f5f5, 0x928c5667, 0x6ebc2217, 0xbeaed690,
+    0xee8e0355, 0x270998a1, 0x0cb4d557, 0x6d075714, 0xdf415412, 0x3035d47b, 0x12214d9c, 0x1caafd01,
+    0x7bb9b18b, 0x2b5baca6, 0x64ff11a8, 0xcf5e02d2, 0xe2b0960d, 0xc9ee9c20, 0x66d3b141, 0x82eefbf3,
+    0x1a9264da, 0x3a1e3b94, 0xc203842f, 0xf186c60e, 0xdf942573, 0xa43003a0, 0xb50c4d6a, 0x843691ee,
+    0x16ed1736, 0x2d6665bf, 0x6f55633e, 0x3787a366, 0xd774b90c, 0xe61bfdbd, 0x7205297c, 0x4ae5df84,
+    0x45521c18, 0x9cd94366, 0x2e718b15, 0xe0b80e55, 0x4254b545, 0xa159df94, 0x74155e68, 0xad360980,
+    0x9b3f3643, 0x6a1beab3, 0x3b7bcd22, 0xde613091, 0x0b2a5870, 0x79482c15, 0x091f5c6c, 0x885ca52d,
+    0x3a4c3130, 0x23e44f36, 0x47e877b0, 0x58ebdc9d, 0x2d05bc81, 0x8a7d705a, 0x5fd27b6d, 0x37b08d1a,
+    0xeed7b569, 0x9ae41992, 0x56da3243, 0x7951d103, 0xd3fb602d, 0x71901a50, 0x0e6fd2bf, 0xdc3fa0cd,
+    0x9fc6ce5b, 0x84e29b75, 0x240e6db3, 0x993590e2, 0xc8458c05, 0x72891de2, 0x1aad0b1d, 0x0e5dd037,
+    0x41e9b647, 0xca1b5547, 0x5aec5411, 0x8b6bd79f, 0x6f61695b, 0xe38f2fc2, 0x9aa16b97, 0x15cdd8a3,
+    0xe39e09a0, 0x83a29706, 0x4ea7018d, 0x5a17238e, 0x2fb5b459, 0xd7e05f99, 0x80c650f8, 0xab7aa41e,
+    0x7ffb38ee, 0xadc9f3a8, 0x364878d7, 0xae31bba1, 0x69058aa0, 0x04f7d12c, 0x1aa0d74a, 0xc907eeb5,
+    0xda80de21, 0x0ae21769, 0xf54d55b9, 0xd2634637, 0x4b1294db, 0x62f9798d, 0xdf831ed6, 0x47cbe6f1,
+    0xccfcb73a, 0x861bfea2, 0xeca79d4a, 0x0c0c2e48, 0x893c25fd, 0x18c9431c, 0x4f16d596, 0x1e760955,
+    0xd0988b81, 0x8feae18c, 0xc8307290, 0xcabebe6b, 0x006010a8, 0xe0248eb7, 0xac46d9de, 0x9fb668ce,
+    0x0ad57843, 0xe514d69d, 0xf12e502c, 0xb0f28efc, 0xee8ea49e, 0xa66428eb, 0x9b68757a, 0x7fe699cf,
+    0x785af589, 0xb041973e, 0x8c9fa9d6, 0x4b45df4b, 0x987010de, 0xf8bfbb6b, 0x8e683611, 0xa370c1b8,
+    0x4eb38c1c, 0x7548b5a1, 0x50323c14, 0x61cef23a, 0xb517deea, 0x091100f5, 0xe19cd40e, 0xe23159a3,
+    0xf4884a69, 0x9fd867f5, 0xfe83f576, 0xc3f93dca, 0xb3fc5f79, 0x9e24f43d, 0xf363f7c9, 0x7b7f3581,
+    0xa0645842, 0x85364f3e, 0xe71c31e7, 0xfb96f2d1, 0xdaee819b, 0x7efebd66, 0x0bab292c, 0x16268ac0,
+    0x2ebaf183, 0x39f1c0da, 0xe7e04fa4, 0xf4ec6682, 0xc603686d, 0x1716416a, 0x1d844739, 0x4ad3d3f0,
+    0xd7006799, 0x7158a047, 0xc40b6e43, 0xb24d35a2, 0xf9692b67, 0x77631ddd, 0xcbc60c59, 0x536b2fc3,
+    0x92569269, 0xd65b7f01, 0x24e33d8b, 0x13223440, 0xcfefc541, 0x2b03f4d8, 0x9d319f79, 0x6220178b,
+    0x4978e007, 0xfbc54429, 0xc2baa2a4, 0xae60e887, 0x261f0755, 0x138c51bb, 0x69b461d9, 0x6338e6f6,
+    0x5d0961a1, 0xf3609ae5, 0x01be7fad, 0x3a4b6851, 0x48d46f24, 0xe7ed98fb, 0xf522238c, 0xe6dea17b,
+    0xc814a599, 0x15414833, 0x42d06017, 0xea0ad668, 0x4c45f43e, 0x33033737, 0x5cada3b4, 0xe08fbb67,
+    0xe3bb2790, 0xe04ab5b0, 0xacca6690, 0xaeee065c, 0xa0e53d86, 0xdcfa34c7, 0x3694c5fe, 0xed5de624,
+    0x07523e71, 0x2a7b745a, 0x58d4cba9, 0x6459bc9a, 0x974f8720, 0x7150cc7a, 0x858992ac, 0xa118b7fb,
+    0xa1a1dce8, 0x231a7ebe, 0x36da5543, 0x2c73c738, 0xa571d1af, 0x95fff35e, 0x7703e798, 0xe129a3f3,
+    0x57515d08, 0x99a7c102, 0xedbd21a2, 0x012deb9c, 0xbeacc8cd, 0x45e0c7a9, 0x754ab79a, 0xad3d789b,
+    0xfec26999, 0x886a58af, 0xef6f2273, 0x6cd47f53, 0x400cc174, 0x7d5e74a2, 0x4721a71d, 0x1fcca390,
+    0x6eacf402, 0xde951b78, 0x7136787d, 0xedd3d34d, 0x88487a00, 0xbfb9109a, 0x2274b095, 0x956bb577,
+    0x7c0ccf2f, 0xb8549f37, 0x141fea44, 0xc0049d19, 0x16e1e0c2, 0x4c5760b1, 0x3b5350f3, 0x03e3c1a0,
+    0x6ea52db6, 0x86f51820, 0x743be714, 0xbca3f47a, 0xf61274d6, 0x1fb35292, 0xebdee886, 0x8f4c176e,
+    0xc1a64a3a, 0xd4f4d4e8, 0xdcd103d0, 0xfd7939da, 0x22bd4f54, 0x71ab3c75, 0x22306ae6, 0x23bad573,
+    0x59ef4bc9, 0x77cdfbd3, 0xad5e996a, 0x60283fd2, 0x6e63e7a3, 0x4e710264, 0x4a602025, 0xfa3d1b5a,
+    0xe83cfee4, 0x86aeb64f, 0x72ddb810, 0xa8e51e3d, 0xfd8d3b3e, 0xc959aa19, 0xbb93353f, 0x7c960a67,
+    0x6ad5c57a, 0x70e6c160, 0x9a02457a, 0xb5afcf55, 0x85a33e3a, 0x443b8ce9, 0x746b187b, 0x35a3154d,
+    0x6df42249, 0x11fa6ba6, 0x11f869f2, 0xc2ba1952, 0xfcbedfe7, 0xf58c1047, 0xe637f70f, 0xa1060984,
+    0xab7a1afb, 0x4151a8f3, 0xbfc9ee3e, 0xe301ab8d, 0xe78aff63, 0xe28412cf, 0xebe30990, 0xec07d9db,
+    0xef41c569, 0xedfa2e9b, 0xf7ffdadb, 0xac7e225a, 0x99dab024, 0xeeca6cf2, 0x1431cf50, 0x5b454719,
+    0x9806a71e, 0xb3c2c76c, 0xaee01c68, 0x7522c4be, 0xff9a493e, 0xe6e93b6a, 0xe738bbb2, 0xae0ea9b5,
+    0x538e1d0a, 0x4967d443, 0xc5d87b3c, 0x056474b8, 0x8427b80c, 0xff26b29b, 0xebba8d6f, 0x4b301a7b,
+    0xe4d7d458, 0x6e02aad0, 0x5b4ba8c3, 0xa2968b02, 0x54d01f36, 0xa2929158, 0x43396b46, 0xc474906b,
+    0xc789c5c2, 0x2bd1ecf6, 0x22e0e726, 0x0245c693, 0x6c123a26, 0xce858f5f, 0x5353360c, 0x2d4a0535,
+    0xbf3e9784, 0x5f03f16f, 0x7b7d9c4b, 0x101ccb8a, 0x2952e5a5, 0xf5f66e24, 0x6408e9ff, 0x72cebf10,
+    0x0f93a4d6, 0x67c14a02, 0xe8e5ea19, 0xd92a0f5c, 0x3f3eeada, 0x94cd7bfc, 0x93749b2d, 0xab2cf16c,
+    0x7ccd8565, 0xb30b8cd2, 0x814f8ab9, 0x343227a7, 0x829ed8b3, 0x8a8bac8a, 0xdef9e9d0, 0xec1c8478,
+    0xb7ceabf4, 0xd63f3cbf, 0x0a4eae95, 0xf3197914, 0x573c5684, 0xfa3f9bed, 0x3afb9912, 0x96dd4ecc,
+    0x0a61234a, 0xce277fe8, 0xa25af385, 0x33cf59a8, 0x821be0af, 0x59b9e840, 0x91e87c78, 0x48e3f109,
+    0xa85d9e42, 0xdcde0b76, 0xb3aa5d7a, 0xf1ff7c4d, 0xd8f22ed8, 0x92d8af5d, 0xec950788, 0x9646e3c0,
+    0xeeb4f516, 0x66a2fca5, 0x6da6ab09, 0x8f61ef87, 0xde59cefa, 0x9e7d9ff9, 0xc0e6a9d1, 0x406ace62,
+    0xe6d5d306, 0xb3d2ffe6, 0x0184f13e, 0x5ed67add, 0x570db25d, 0x9fb7ad9f, 0xed6f84dd, 0x2b80a323,
+    0xd107129b, 0x43e9769d, 0x907a917c, 0x7149c05c, 0x8e1b0686, 0xcaa664ab, 0xc8762bd0, 0x92517c9f,
+    0x7e3a33a4, 0x763a74e9, 0x975593c6, 0x8a3ab21d, 0x95995adb, 0xf48f262d, 0x40001930, 0x6b926451,
+    0xeb97e7c8, 0x77ea1525, 0xa2b198cb, 0xc543102d, 0x195ed83c, 0x85b71f85, 0x9afc0d9b, 0xe845be3b,
+    0xc7421482, 0x7f863ecb, 0x280ca711, 0xbb41c590, 0x25c65568, 0x87682056, 0xd689508c, 0x7a7b1018,
+    0x2eca9714, 0xe05dcdb5, 0xaa0443ae, 0xf1625d4a, 0x418451a8, 0x70cf165e, 0x0eec3459, 0x0f2e5a2b,
+    0x70a6d111, 0x62adbf10, 0x397eee5d, 0xf554b792, 0x9b6751f4, 0x00dee172, 0x0ed1dd34, 0x8fe4d9cf,
+    0x023ac00c, 0x448e2d95, 0x665b7833, 0x6a7167bb, 0xe9220e0b, 0xe2a2dfda, 0xa206bdf6, 0x2843f617,
+    0x1c059e80, 0x421bae34, 0xc5a01682, 0xf9b7aa58, 0x0e8f4f7d, 0x08d3ad2c, 0x7fff7ada, 0xe8bf4cae,
+    0xf23c804a, 0xe3c66bb4, 0xe33ec857, 0x82d94295, 0x7926b89d, 0x2f5cd290, 0x8fc92cad, 0x317a81df,
+    0x12e5ec87, 0x84533846, 0x9b2641d8, 0x89933de8, 0xee94875e, 0x3c21d47f, 0xf9ab6ab5, 0x3bb2a349,
+    0xc7c303e2, 0x0308c982, 0xfa3b1b9f, 0xdfa47aab, 0xe0d60a52, 0x35f1f385, 0x77c1b2f7, 0xb7f139dc,
+    0x739f4c04, 0xae748b59, 0x853170f1, 0x81877c2d, 0x0e1c9615, 0x970639a5, 0x2a2e1af6, 0x43721092,
+    0xcc91b0db, 0x7b357b44, 0xd449319b, 0xb92a8a41, 0x5800605e, 0xfd74b8fd, 0xc14ac1f2, 0xd19da168,
+    0xe3e200f0, 0xec9e0875, 0x65b0b7bd, 0x5cbe81d2, 0xd3997262, 0x9c66c5d7, 0x2dc7e73a, 0xf9d87ab1,
+    0x20e422b5, 0x1435fbae, 0x8ade43e2, 0x1763104e, 0xec6ac5a6, 0x12ee4082, 0x5babd4b5, 0x78b13c2b,
+    0x5ccc1815, 0xa318f59d, 0x6267c558, 0x5727ed32, 0x4eda63fc, 0x03670f3c, 0x43131be5, 0x39860480,
+    0x1507c046, 0x6bee3176, 0xec5449ea, 0xdb086800, 0xe413b3d6, 0x16b73218, 0xf36e8f7b, 0x728145d0,
+    0xd07223a9, 0x78515349, 0x9ec2c5ca, 0x3c63a7bd, 0xd3eec44e, 0xfdac1694, 0xaa334f2e, 0x5e9d2d2e,
+    0xa3d829c2, 0x420f0cc0, 0xd2408bb8, 0x8d8e46cb, 0xe2fd0f85, 0xc7e103f2, 0x87501a06, 0x72959511,
+    0x8c2a5dc1, 0x2e9dd938, 0x4e98e735, 0x7d8e63d0, 0x5638afc7, 0xefb13a19, 0xfed6e001, 0x3a5aeee1,
+    0x299e7b46, 0x30283d24, 0x8d48cb64, 0xf20ac27c, 0xeca5cbc4, 0x9ba9de14, 0x51611151, 0xb018d4d8,
+    0x8308b9b0, 0x8eba996f, 0xb9aeb834, 0xb8da43ff, 0xb0dc14ef, 0xfc22a418, 0x2eb2967f, 0xde00b111,
+    0xcaba6580, 0x9de64277, 0x0e9266d3, 0x84957e9f, 0x8a190d3e, 0xdeb87b96, 0x108cca00, 0xab336db0,
+    0x14b3573d, 0xd139d2bc, 0x66e3b360, 0xb1ed5912, 0xd2ea5fcc, 0x7137cf0e, 0x6337ef0c, 0xb15e2604,
+    0x84a49248, 0x95db765a, 0x4f6e69bd, 0x1abc364c, 0x0f5ef549, 0xa505a0e3, 0xbe6ef8e7, 0x7ad567a2,
+    0xbe217de5, 0x1623a378, 0x27a8394f, 0x11e39927, 0xfc0af527, 0x3890bfba, 0x624b1d73, 0x363abc75,
+    0xd5cd83b3, 0xfcd170c0, 0x902c1e45, 0x8b383ba3, 0x20bb52f9, 0xc73bf50f, 0x7e92ecf7, 0xb996d747,
+    0xd1fc8005, 0xe8b4be1a, 0xa6fffd2d, 0x981227d4, 0x4c6117b4, 0x4bd301f4, 0x0ca2a2e9, 0xc387f1bc,
+    0x4a41a881, 0x8218b39d, 0x0f5e6870, 0x451dc5e1, 0x4b1b9663, 0x3be495fa, 0xa0d10fe0, 0x989eebe1,
+    0x9b05293f, 0x7681bfaf, 0x9b5e70d5, 0x2a29337f, 0xa422db65, 0x97c308c4, 0x2b9f15ff, 0x7e80c24a,
+    0x8fe57bbe, 0xb68f1a80, 0x254065ff, 0x0118a605, 0xab7faceb, 0x2325cd5d, 0x99c59483, 0x6ccab236,
+    0xb00b283d, 0xef83008a, 0x2212c28d, 0x760b3d6a, 0xe0880a75, 0x1f9e4270, 0x1ed0ce64, 0x0cb05d34,
+    0x58f2a080, 0x7f3b1c3b, 0xe44e51ef, 0xfa018811, 0x6e326e01, 0xb76c6b9c, 0xd60b813e, 0x4177aaba,
+    0x33cb5c3b, 0x45d36e70, 0xc347f3ae, 0xc0c686d2, 0xb6864e8b, 0xc3ef2725, 0x38b28ea8, 0xfc93dd07,
+    0xdce6d149, 0x03977ca5, 0x520cd5c4, 0x79949692, 0xd602e200, 0x66695650, 0x96e47afc, 0x73c9c0ab,
+    0x34ededfc, 0xd192eda5, 0x7947bd71, 0x96299e8b, 0xdcf097f9, 0x333842da, 0xb2e5700b, 0xe55318e3,
+    0xadca632f, 0xd49f1526, 0xffe6bff3, 0xfb2fe836, 0x175d4fc8, 0xfbfb7f6d, 0xcd8fb9f5, 0xab3aabd5,
+    0x8055bcd5, 0xf045c783, 0x0e91d39f, 0x74580a4f, 0x1d079802, 0xe0920611, 0xdae710a1, 0xa3d309ad,
+    0x97992ed2, 0x587e55d5, 0xa350be8b, 0x742ee9ae, 0xee12957e, 0x74936574, 0x2a35538d, 0xc61cb620,
+    0x33a95874, 0x5d2cffc3, 0x88c0ec2f, 0x79ae0f6f, 0x49fb9443, 0x91067a94, 0xf3a15a48, 0xb70bb2a5,
+    0xa6d692f1, 0x9ef83e1f, 0xcb009250, 0x908e06b4, 0x8e6e86f3, 0x76503a98, 0x960b41a9, 0x06797dfe,
+    0x24a518a3, 0x6ceef0d5, 0xaaf5fcd4, 0x421356c8, 0x99a9fbe4, 0x151204c8, 0x549abc7c, 0x9f3e9ab3,
+    0x38c315fa, 0xdc83be5a, 0x4c093c52, 0x3d6bc646, 0x4e1a8a45, 0xe1b4c342, 0xd32fe871, 0xa0f489da,
+    0xbe390d4c, 0x90754c15, 0xd420b21d, 0x4fe01eec, 0x60fc2c9e, 0xfbbed204, 0xbc4ba459, 0x0be83044,
+    0x56b3fceb, 0x1749829e, 0x485f2aa1, 0xeaf090fa, 0x23604966, 0xe09ed824, 0x16e30f7d, 0x7bedc835,
+    0x8d6f04fe, 0xa1e33e5e, 0x3247061f, 0x7f40b9cd, 0xfacf81e9, 0x625f2818, 0x57b4d09f, 0x8299061d,
+    0x2ec9c427, 0x2e86b0fe, 0x1c086879, 0x57843913, 0x96ae73cd, 0x6f566b0a, 0x6d6b3da6, 0x0dea1a64,
+    0x4b51d4ae, 0x8288d632, 0x2f142b8b, 0x8aa78d01, 0x0540a22f, 0xf298bcf7, 0x8a3a1bb8, 0x3a5e34df,
+    0x4b55fa3a, 0x4aa17b93, 0x42b54ccc, 0x6a556e91, 0x3f1117ca, 0xfcf75f51, 0x8f89128b, 0x491c23d9,
+    0xf1d2257e, 0x636bb93e, 0x70be4f48, 0x8e37f329, 0xb7b89e16, 0xff9ab0d5, 0x624425b9, 0x1feb3a7d,
+    0x9a556b87, 0x22e1e7a2, 0x28d86a86, 0xc3817f60, 0x342b18b7, 0xbdcc98ac, 0x7c381d3d, 0xfe3770b8,
+    0xe6cc9ae8, 0x8f4f5f07, 0xe8acc54c, 0x7073f63a, 0x8f080c7d, 0x4a9c6e60, 0x7fd8539b, 0xe13d5b17,
+    0x2ab1c3cf, 0x29bfa321, 0x18ca2128, 0x19d171bf, 0x72ecce9b, 0x4328c4b7, 0xe9c642f5, 0x7d4f5962,
+    0xfaa191e2, 0xe0e1f3ac, 0x5a32d821, 0x6285ee21, 0x9c347ccb, 0x3fe666c4, 0x8a8046fd, 0x782b5de5,
+    0xa74ad313, 0x2ecfaf9c, 0x8c930287, 0xfca201cf, 0x1a9b3fcc, 0x89a2d1fe, 0xd46b20db, 0xb9940644,
+    0x00000000,
+    0x7547ce8e, 0x9943f7a7, 0xb9e16741, 0x6dab2020, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3,
+    0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000341757925747345613183\
+                         20347298712833833643272357706444319152665725155515612490248800367393390985216 */
+  { 0x00000000,
+    0x67e8f2a3, 0x8e28b1e5, 0x0e9b3d62, 0xcd0231dd, 0x222c7019, 0x86b295aa, 0x04ec75be, 0xe05da19e,
+    0x2f6c1fcd, 0xec74e6e7, 0x707f5cfe, 0xe9816b8c, 0x986bcb33, 0x5d4619e3, 0x9cd3f2ba, 0x86edcaf6,
+    0xd217c478, 0xbe2117d0, 0x63fe5a79, 0xc250ed50, 0x8dd5a6d6, 0x19ee4f8a, 0xdf952b16, 0xd77c07c2,
+    0x8b4d3489, 0x2593c7e0, 0x6583f6ba, 0x3f40573f, 0x87d3d5c7, 0xbf3b3b2c, 0xc579d480, 0x490a3c2d,
+    0x8f70ba91, 0xd3d21a1b, 0x4ff48ff7, 0x35a00c6e, 0x542e492d, 0xfc79e300, 0x5c8299ce, 0x4f51ca56,
+    0xc393cea0, 0xe7eefb03, 0x3e37181f, 0xbc06f854, 0x525e150a, 0x113c94ae, 0xd1980f66, 0x99ecc932,
+    0xa4dca195, 0x0f824144, 0x60edc9e9, 0x2e5d3945, 0x8201af6d, 0xd08f6a27, 0xb914ecf8, 0xfcab9de2,
+    0xfeac19df, 0xc61bd92c, 0x63b9b41e, 0x95a6e906, 0xe78fd860, 0xbb9cb332, 0xde908c1c, 0x7d3a9f14,
+    0xb33d7cea, 0x8fc42cfe, 0x441f4dbd, 0x4a462d19, 0x7dc2510c, 0xb9b22ec5, 0x90ee888e, 0xc33cb172,
+    0xe0bc4b8a, 0x48784343, 0x46130ee3, 0x6572d9d2, 0xc3afca4c, 0x0cbba8ab, 0x40976cc2, 0x3b4a3e6e,
+    0x45861812, 0x8b4e25e8, 0x8976c38e, 0x729b8933, 0x20853f84, 0x1eb13d7f, 0x5b993816, 0x7f4e89b1,
+    0xf0a2ce32, 0x30b379d2, 0xe1f9f8e9, 0x5d3e3e42, 0xc1d8b5ba, 0x036fe4a3, 0xbc68e617, 0x5b5e7586,
+    0x3c4944f1, 0x5d3b5e6d, 0xf9b13d44, 0x9e47d687, 0x243102be, 0x74d2a72b, 0xb650f55f, 0x55169d59,
+    0xcc5d9cf0, 0xd5700f0f, 0xa082d261, 0x7ebc9560, 0xc33ebcc3, 0x70512253, 0xedabdfa9, 0x631f2a3b,
+    0x0f90bc3b, 0x19d91bf5, 0xfcd7e600, 0x189d6cb5, 0xc0a36508, 0x93511904, 0x881e42cf, 0x7ab3d010,
+    0x4a5ea6ac, 0x7420050c, 0x371bbb03, 0x4d91fb67, 0x37f4d472, 0x928db3ca, 0xa0eaf12b, 0xad0a3757,
+    0x0ab2d6a7, 0xa27ccc30, 0xed24265d, 0xa64f7286, 0x4866de3b, 0x6e0212ca, 0xc63664c3, 0x48b27f0c,
+    0x9072e81b, 0x4cb48a47, 0x85f85aae, 0x7b671dda, 0xa797aded, 0x3f639a10, 0x13c6d839, 0x843c4899,
+    0xd3ddd6e3, 0xb0d26102, 0xd08ddac4, 0x6d9ecfcf, 0xb69a6578, 0x96e176f9, 0xa46600fb, 0xdb690d50,
+    0xe8800b28, 0xd0bad893, 0x89ca1bd5, 0x42e7d43b, 0x1333414a, 0x00af691e, 0x080c861c, 0x2b022aeb,
+    0x88d4a2ea, 0x2733be00, 0xa8f9e0b3, 0xfe8a4bfa, 0xf9853d31, 0x5a673de9, 0xf711508d, 0xc2882ea9,
+    0x644514c9, 0x8169da6d, 0x25a9ebb5, 0xfa604f0f, 0xabf5fefa, 0x47911ea0, 0xd7699858, 0x81fdfbb3,
+    0xc656e13a, 0xf87b4eef, 0xd2e27870, 0x929ce468, 0x7df274d6, 0xec57c495, 0x141702d1, 0xb7770951,
+    0x53dbe5fb, 0x1854d3c9, 0x8fcb6527, 0xcc791d0a, 0x1d8b7e75, 0x79f1d047, 0x84e04126, 0x03161b08,
+    0x470fa1f1, 0xfbca2dca, 0x0628ca8e, 0x9aefcb96, 0x94530e1d, 0x365469ea, 0xb55e9a14, 0x9a3ec951,
+    0x7353d5c8, 0x06111377, 0x862a09f8, 0xbdd29a5d, 0xffe3431d, 0x5909b1b2, 0x8b72f496, 0x27501064,
+    0xed30d9c1, 0x06f63645, 0x31931dba, 0x39867bb9, 0x02637bc0, 0xd84554b9, 0xf8f5ec70, 0x886e4c4b,
+    0xdc9e6e27, 0xd2bc583b, 0xb514c670, 0x73cb248f, 0x558aa9c4, 0xaaa21c73, 0x3120e1cf, 0x3305b487,
+    0x6a637faa, 0x03082153, 0x2f762691, 0x5a2e5ef0, 0xf68235b9, 0x535acb75, 0xc3f445a3, 0x12c3116f,
+    0x50c57335, 0xf06fea25, 0x32c6a1d3, 0x3045fc59, 0xfb28ee6f, 0x2aef914f, 0x07f3ac60, 0x20d20623,
+    0x796e67e5, 0x02fdd910, 0xd7129cf1, 0x68699fc2, 0xc5ed5278, 0x9f4b162e, 0xeee3b0a4, 0x204590de,
+    0xe9fc96cb, 0x09a94b4c, 0xc7ac6706, 0x288be8f2, 0x6a1118ab, 0xd3d1e0df, 0x9f513450, 0x76b42278,
+    0x46342392, 0x56cfcf08, 0x76134e67, 0x31d4ab2d, 0xe8ff65a9, 0xb16951b1, 0x10c91768, 0xf5b7ab73,
+    0x32c67332, 0x70b940d7, 0x19fad157, 0xda19a706, 0xd51baecd, 0xc2b2b463, 0x4ed910da, 0x098f1f3b,
+    0x8c34e946, 0xce38b70e, 0x90e9da8b, 0xbdb994de, 0x843b5894, 0x9f7d9b31, 0x9e098067, 0x3400dd3f,
+    0x28d2a684, 0x78b14cac, 0xd53891c2, 0x7bbe4ac8, 0xa27a2f7e, 0x1458ca45, 0xf7336a37, 0x53f61227,
+    0xa4a3f881, 0x64c4e7b1, 0x6ec0891b, 0x7a3357e7, 0xa126e9c6, 0xcd0bfaf2, 0x7fad80d2, 0xa1981e3a,
+    0xb945cb08, 0x868682f9, 0x0d8dfcfc, 0x1a59a6f8, 0x1bd164ec, 0x3ebf4f8d, 0xcd8f95fe, 0x021e6e68,
+    0x5fa13ecd, 0x9edcdbbf, 0xb5b616f0, 0xa661c4cf, 0x6e6363ec, 0xa2bb3f0b, 0xa34297de, 0x15b9c283,
+    0xd49c3683, 0xb3186756, 0xcdd7943a, 0x529fc61c, 0x9905f9e3, 0x4a187ef9, 0xd253db9d, 0x1eb37ba9,
+    0x3dae7ee7, 0x44ae72c0, 0x05619050, 0x3614297b, 0x708b0dce, 0xafe6cbaa, 0x5062ad26, 0xafe02b88,
+    0x45757166, 0x85937537, 0x6b923f34, 0x3cce9712, 0x4d50753c, 0x112136d2, 0x28f87eeb, 0x13cba9a0,
+    0xc715fe60, 0x31ba617e, 0xd97a3f57, 0x685a0ce3, 0xf5b52b75, 0x71aec011, 0xc1eaca56, 0x652075a8,
+    0xa141c62b, 0xb86af875, 0x0dfeb295, 0x5648c1de, 0xcdf88130, 0xa106bb2d, 0x6065c988, 0x07cc1fb2,
+    0x73e1876a, 0x7de7a125, 0x99bf5523, 0x5bcf07f2, 0xb4df95bf, 0x6220d90c, 0x04dd14fa, 0x8221b472,
+    0x3e6868a3, 0x396084ca, 0x3a6941a5, 0xc4e6cf21, 0x0002c99d, 0xf9baf8f5, 0xcbf51686, 0x3cc47fe7,
+    0xd01e9091, 0x40e83556, 0x51dcdea4, 0xfbf0fd20, 0x4fd6ab69, 0x627b9573, 0xe15e79a1, 0x528dba3a,
+    0x84b9c995, 0x81decde8, 0xaa77cfc3, 0x5bb8d3c9, 0x0a032b3c, 0x8b827be4, 0xb4e0b354, 0x55d29607,
+    0xf4430b5a, 0x2a593a46, 0xa8d6feb9, 0x593e112b, 0xbd54ced7, 0xca2f03f9, 0x9e3b6c2f, 0x90e7e951,
+    0x15e7f4b7, 0xd8201783, 0x7b4ddebd, 0x8558ac39, 0x5b58a1d1, 0x3f96ba9d, 0x5be78757, 0xdbad6675,
+    0xc41089b3, 0x012c7458, 0xe012e16a, 0x411b8c7f, 0x127d09b6, 0x1724a9c4, 0x0809c18c, 0xeb4bc4ec,
+    0xf966be34, 0x2ec4880a, 0xd718e64e, 0x0bdd77f0, 0xd63bec67, 0x171d5a79, 0xa1a6a9d1, 0x765e77c7,
+    0x2c6cbe67, 0xe14263f8, 0x1b41bccc, 0x927ca7b1, 0x401af74d, 0xca238f60, 0xdfcd67a7, 0x4ac73c14,
+    0xd4928062, 0xb806fd2b, 0xdf64e5d1, 0x3d5eb2e8, 0x43d371be, 0x6b67af7d, 0x31871ecb, 0xc9f411e1,
+    0x63e138d6, 0xfdb4b72e, 0x3aa39163, 0xeafb5647, 0xbc6da26b, 0x216284aa, 0xef112f7b, 0xbdbaa96e,
+    0x7e4b1725, 0x03be95cb, 0x15d3ca66, 0x975039db, 0xc03a8139, 0x02af4624, 0x8b03f020, 0xa115ecea,
+    0xdeda4422, 0xa7b559ac, 0x7a15a15f, 0x7b7c1d0e, 0x6d71f66d, 0x8d34cabb, 0x407c090e, 0xaa4b72a0,
+    0xa7210cc9, 0xd74e643f, 0xdf6974a3, 0x81205286, 0xff7e67f6, 0x5c9d759f, 0x5e1fce38, 0xa80d2343,
+    0xcd7188ba, 0x7e183a05, 0x430ac36b, 0xf727d488, 0x77da7bd1, 0xbeb00d8e, 0x242ac8db, 0x1d38406e,
+    0x04ed781b, 0x9cbf0105, 0xb17432fe, 0xa0fa1b17, 0x84889d02, 0x06d26964, 0x73898d3c, 0xa4831ef3,
+    0xbd5a07a4, 0xa430db95, 0xbb348b83, 0xcc9f09cb, 0x7f66f610, 0xdadc7c52, 0x05718ff6, 0x8c0a44bf,
+    0xa94eb0a6, 0x79534884, 0x9fcc1d52, 0x38b48dd2, 0x02332b63, 0xafbc620c, 0x9532a2e8, 0xff9802e2,
+    0xb0cf0a66, 0x61a72ea4, 0x01707bd3, 0x381a3654, 0xcd784d68, 0xe53943f9, 0xebe2174e, 0x782f5a89,
+    0x34388bc9, 0xaeb8be5d, 0x9f9ff671, 0x03e50b5f, 0xfa540341, 0x252032f1, 0x342fd9f7, 0xdf82df81,
+    0xc9ea98c7, 0x51e7e31a, 0xb51c70dd, 0x29b23dbb, 0xefb78d62, 0xbb7c7452, 0xab844f02, 0x1cd8570d,
+    0xfb6d7d56, 0xef6dec02, 0x2e2d78b2, 0xf6130a30, 0x782e0544, 0xd81204af, 0xfd11e47c, 0x5c0099da,
+    0x4669dac9, 0xac42ed50, 0x4261a43c, 0x0a65fba9, 0x2d0497f9, 0x2a9f07ac, 0x2b34a28d, 0x4698b723,
+    0x50d2f3ba, 0xa6220c1b, 0x963d5d5a, 0x6e51cc07, 0x5eff8490, 0x2abc2f4b, 0xa1ce93cc, 0x07ddc5de,
+    0x0bfd917a, 0xb10d4d39, 0x008f8696, 0xd281bf69, 0x3333c132, 0x2d726595, 0xea0427d5, 0xa1ee31e5,
+    0x2185bdff, 0x384a52b1, 0xa3e4ac14, 0x460eaa05, 0x0b61da21, 0x71bc2fdb, 0x348d914d, 0xf8e55f5f,
+    0xc63b5406, 0xb3c8d89b, 0xcb83b16c, 0xb31426d6, 0xe0967afc, 0xb11c0224, 0x78933945, 0x2f410fe1,
+    0x70bc493f, 0xd47f20b7, 0xccb78d52, 0xf0d71d7a, 0xbc52c3b4, 0x514cb7a9, 0x35e024d8, 0xa8023f50,
+    0x3b7ba97a, 0x560912b3, 0x245800d9, 0xe1f927b7, 0x316046ab, 0x8e5c5b04, 0x2253490b, 0xdd36b9c9,
+    0xdf9a8ab0, 0xd5319753, 0x1062eac4, 0x915764f1, 0x02014358, 0x684bacb5, 0xa50e1cb8, 0x7802da46,
+    0xbe79f00b, 0x8ccf9d73, 0xa51be61b, 0xac967787, 0x66f0336d, 0xd94c0b2c, 0x02856616, 0x32dd691c,
+    0x09f27996, 0x2604f8e7, 0x34bb82e8, 0x757f8e9e, 0x287cbdf2, 0x3c4c461a, 0x97b5fcfb, 0xec7d46c8,
+    0x0ec56dbe, 0x645010d6, 0xe3fa7501, 0xf72db3d6, 0x5ddc1b29, 0x6e14f988, 0x479154d7, 0x4ff91992,
+    0x95aeee20, 0x2804fe8c, 0x3dd55f1a, 0xd74bd7ec, 0xa7657e85, 0x4c2ea360, 0xfbd1605b, 0x710bfc5a,
+    0x4f0a6998, 0x4cb23a62, 0x91360064, 0xcc52ef53, 0x5b3b43a5, 0x84d75db2, 0x8b66f987, 0xdc4e0d01,
+    0x3d1a359d, 0x0668cd75, 0x054ce1e8, 0xe663bf95, 0xec754d50, 0x1e28edf2, 0x3ad1c09a, 0x4bfa32c7,
+    0xa4dfd50e, 0x5c3ea394, 0x9145d036, 0xbb2d7e38, 0xff74995e, 0xcf9d8d42, 0x1ff7f722, 0x310cc73c,
+    0xd4ac928d, 0xd8e71f76, 0x7aa39e9a, 0xe447c56a, 0x6131ca0e, 0x421c3db8, 0x163751a2, 0x9d3df37b,
+    0x15cbb306, 0xccb1f3b1, 0xd7ef45c1, 0xc1209083, 0x6b915865, 0x73bd4fd8, 0x8fd95daf, 0x0317ab7c,
+    0x33877e76, 0x334d90f3, 0x80eb2936, 0x95289399, 0x1788e06c, 0xedee58b9, 0x72616744, 0x3c166f53,
+    0x2bb67fb3, 0x930b649a, 0x0c58c232, 0x5489d5d3, 0x30b3a8b3, 0x2475f014, 0xec1c6f8b, 0x514c31c9,
+    0xcb79a70d, 0x63d6f5df, 0x97309423, 0xa36d2de8, 0xf7a19bd7, 0xe1717af0, 0x8495ff78, 0x9cdb7fc8,
+    0x15bb04ac, 0xde10a6f4, 0x1a24650d, 0xbdb9a3b3, 0x47cd2462, 0x50fdf50f, 0x0524a464, 0xa7e3b953,
+    0x91679c68, 0xd0a9eb11, 0xdb8bf96b, 0xa180833b, 0x3458cf10, 0x27dd86cb, 0x2e06fc77, 0x545e70fe,
+    0x4774c248, 0xd85cb191, 0x35c0e336, 0xfaf3e973, 0xf2fcd407, 0x78a96d75, 0x2d5c7e25, 0x1a628e32,
+    0x4ff274aa, 0xd12ffa5f, 0x138dc943, 0x75487f71, 0x864127da, 0x143210c2, 0x10200c88, 0x1a0f8937,
+    0x129f7708, 0xc8e5229e, 0xaf6e5c81, 0x72c097f3, 0xeff9f5d1, 0x81d52aa2, 0x486c313a, 0x3fd658cf,
+    0x76faf43d, 0xd0b17561, 0x06c03a39, 0x416f6883, 0x809e167d, 0xd91b716b, 0x99278461, 0xdbe98bf9,
+    0xf3fdb39e, 0x04e87a54, 0xfda81dd0, 0xb6ce93a0, 0x1d0834ff, 0x6b6338fb, 0x507a790a, 0xf8a330d5,
+    0xfd97b2d4, 0x55bb10d2, 0x70537fea, 0x6c2aa4ac, 0xed464a1d, 0xbe320360, 0xc31a2f28, 0xfdd0e069,
+    0x7f55e523, 0xac367e3e, 0x84227984, 0xea8ee84f, 0xc9bdf3e9, 0x2d5af51b, 0x941baa17, 0xdf9481a1,
+    0x9c831495, 0xf61eb33a, 0x8a85e8c1, 0x254136e1, 0x4e6d3f56, 0x4c34ccfb, 0xf5ed2bd7, 0x19975a09,
+    0x21756dc8, 0x837d7973, 0x4c30b903, 0x79151aa5, 0xfb479e17, 0x2db09462, 0x8e1d2cdc, 0xe0ad00db,
+    0x5a001463, 0x67e22f21, 0x5ddce856, 0x629aa6b9, 0x9dd9bd0f, 0xe2671d42, 0xd588e29a, 0xb68ed795,
+    0xabd3859b, 0xe73c8f99, 0xfad54147, 0xdd1ef8a2, 0x6e4799c2, 0xb6d75590, 0xa85cf425, 0x3f64f750,
+    0x9285fc87, 0xa1bec5c9, 0x36054cfd, 0xea6e779d, 0xee4f5e54, 0x3c0b2591, 0xa851fafa, 0x8ced878a,
+    0x96cf5d62, 0x37a2f8ee, 0x9c05ef10, 0x0216e4d8, 0xaa5308c2, 0x5a19b2e8, 0x50a5899b, 0x8a4d47de,
+    0xdf28a128, 0xb1f76955, 0xe03d1b54, 0x72cb1d5e, 0xb04ab503, 0x2835be60, 0x6aa30cbf, 0x8bcf4f48,
+    0x03284fdf, 0xed49d505, 0x420e6401, 0x1b4edfb4, 0xf10182fb, 0xcc25aa9d, 0x592969da, 0x026172af,
+    0x7297949e, 0xd8bf1070, 0x380f12e1, 0x00f73616, 0x4bbac545, 0x132c2f37, 0xae1f0efa, 0x19f95914,
+    0x6d2f7f6e, 0x483dd9a3, 0x6034f700, 0x18d1af36, 0xf0d2d62b, 0x20e82439, 0x99650931, 0x0213210c,
+    0x5d743b4c, 0x13280659, 0xc434a6f0, 0x8bb12095, 0xc38b2850, 0x729d0e44, 0x8e0b59b5, 0x7473c419,
+    0x55a7f2c4, 0xdd425699, 0x43e65b20, 0x0cd69719, 0x94853ceb, 0xb2e32b0d, 0x43d69bcd, 0x8ce3a3a4,
+    0xf812e0c6, 0x6a6218f1, 0xe261f6ff, 0xa849bb47, 0xfd0aaf3b, 0xd35eccea, 0xdca2ffb7, 0xa795be3b,
+    0xb69785d6, 0x282816c4, 0x94fc0856, 0xdbed6152, 0x3ed0c6bb, 0x6a6622ac, 0x3f8c2ce3, 0x3222169a,
+    0x2d2f0f7e, 0x0ee03308, 0xcf1b9020, 0xa6af3293, 0xa2f95490, 0x9cc51665, 0xe78f1da3, 0x888be46a,
+    0x5e1bcfe1, 0xe7443e6b, 0x4b6555b7, 0x3870684e, 0xc484aa96, 0xcb6381fc, 0xe8b3a0d3, 0x0d0aa934,
+    0x373ec4d0, 0xa7f0f23e, 0xd2d3f11a, 0xba673096, 0x557d2901, 0x293103a7, 0x4adde065, 0xe944546b,
+    0xfc5c6491, 0xc127e9af, 0xad0cace0, 0x1303523c, 0x722d4c7f, 0xf24e8c73, 0xb174a9a4, 0x7aeb9988,
+    0xbea77e56, 0xa6d97b93, 0xf7f563c2, 0x012f7e9a, 0x517beb28, 0x4cdcca5d, 0x4f704269, 0x5de785a7,
+    0xcf56d7ec, 0x6e27878a, 0x8d056e92, 0xaabd7a7e, 0x692806c7, 0x499939de, 0xcc5c287f, 0x34941e0f,
+    0xfac1d76d, 0xe2f41024, 0xa536f4e1, 0x4ce5bcbd, 0xf39e3fef, 0x2c1defb4, 0xfac7f52e, 0xa7ed6ed9,
+    0xffb33044, 0xf6ecaae5, 0x70e85b5a, 0x2fb4db2b, 0x395615cb, 0xb5b1c5b1, 0x2718bc80, 0xd38129b9,
+    0xdf65d122, 0x294480cc, 0x4048567f, 0xce0e95a0, 0x1e3fcfdc, 0x833513ed, 0x2fc2b66a, 0x7b5803da,
+    0x18d16be0, 0xe492aac9, 0xc5eddee3, 0x59472f72, 0x52f66e2f, 0x995eb0e4, 0xf20ab63c, 0x1c89e621,
+    0xb193f2d8, 0x6bc80fa1, 0x69205190, 0x023d9232, 0x153b59eb, 0x6bee46f8, 0x44a56353, 0xf86e146e,
+    0x1ed5b332, 0xe33d8c0c, 0xc0fb3c93, 0xb7ddb69d, 0xee10e986, 0x6121a0f2, 0xb266bb3b, 0x03060b51,
+    0x5577bd03, 0x51d8c863, 0xf10dd94c, 0x81a7209a, 0xbeb9dbbd, 0x7d1f621c, 0x54f2685e, 0x40a5d9fe,
+    0xcf73b217, 0x1915be80, 0x8a487f4a, 0x5ff9c63c, 0x0bafd14e, 0x7eecd61b, 0xac77bbe7, 0x7667aefc,
+    0x4b7ad4b6, 0xa847bb1f, 0x454398f3, 0x8298095d, 0x10504e04, 0x71a90c5d, 0x17d45b13, 0x10447df8,
+    0x2f86b1b3, 0x0e36c71d, 0x90201136, 0x80ccfb15, 0xc3c3d51b, 0x42d171c7, 0xbaab1d36, 0xe0d45771,
+    0xb1ed269a, 0x574d6c09, 0xd442fbde, 0xd23bed7c, 0xdd806c93, 0xde23b23a, 0xf6a45964, 0xd9f69e7c,
+    0x00000000,
+    0xbaa3e746, 0xcca1fbd3, 0x5cf0b3a0, 0x36d59010, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9,
+    0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000170878962873672806591\
+                         60173649356416916821636178853222159576332862577757806245124400183696695492608 */
+  { 0x00000000,
+    0xd553d873, 0xeb3f93de, 0xd181fe51, 0x65f0ed8e, 0x24dcd33e, 0xf282b181, 0x0e193d96, 0xdab19011,
+    0x277d64ba, 0x9861b194, 0xbdc63323, 0x833cf72a, 0x75556e89, 0x081e0024, 0x7ccb464e, 0x0c09b7f9,
+    0x2d617721, 0xf555e5bf, 0xf2e90036, 0x5c7c0b09, 0x660c2015, 0x79609fb7, 0x2caa26f1, 0x38323a0f,
+    0x2a9cc290, 0x71d857af, 0xd0c1d3cc, 0x3d2e280a, 0xa34c8cee, 0x5a38d285, 0x402ede05, 0xee237ac3,
+    0xab7dc9ea, 0x57e9c00e, 0x46fd868d, 0xd08bb89e, 0xf1fa0a0b, 0x8676bfa3, 0xf5f8fcfa, 0x8c3b0e88,
+    0x81972d86, 0xfc604880, 0x6b27413b, 0xef7b8c9e, 0x237b4760, 0x481acc49, 0x1bb10618, 0x0e80812e,
+    0x2d404d00, 0xe45df1bb, 0x61d7d210, 0x9893d1a8, 0xad1b6cbb, 0x77e865b5, 0x3ed64e9b, 0xf244eabc,
+    0xb98a742e, 0xa0f64658, 0x52241ca1, 0x20084a73, 0xaa0b5929, 0xd7dfbfaf, 0x082904ae, 0x9ceb5a0c,
+    0xf9084795, 0x7ba25e20, 0xa949c27f, 0x84d88e7e, 0x566f62c2, 0x22714be7, 0xb8403142, 0xadd24cdd,
+    0x1a28c524, 0x6106a00c, 0x46fa7680, 0xa4adfdf4, 0x2782d632, 0xd0c80beb, 0x883c1232, 0x48f67fef,
+    0xd24a138d, 0xd8487894, 0x4fa53eff, 0xd143162f, 0x5fbd03f6, 0x7b4bc57b, 0x60b44a23, 0x0cf18ccd,
+    0x1b26c0be, 0x7b3004a7, 0xbba6d9bc, 0xfcf57e24, 0x6e0fd94a, 0x0419fe02, 0xf9851d61, 0x6c31b331,
+    0xe02bc979, 0x0db8f282, 0xbe47c804, 0x4d9d1f4c, 0x1a002f21, 0xa4c5ffd7, 0xfd7dea1a, 0x3a76e6ad,
+    0x30330d61, 0x3268aad2, 0xcf297386, 0xb6c9a76b, 0x40549d82, 0xea989ba5, 0xe74a97e4, 0x76710d1b,
+    0x452bb59b, 0xe81f2d80, 0x866b8f86, 0x36d100a6, 0x8df0ab18, 0x31efff24, 0xbb39bd4b, 0x10c0bec9,
+    0x987c030c, 0xf166fbb5, 0xcce175f1, 0x195d2d49, 0x9a76d967, 0x3b0ca5b1, 0x3007f566, 0x54442f12,
+    0xb599b8c7, 0xf82c040f, 0xe7d1f014, 0x5f4d8fb4, 0x1cdabcaf, 0x5be3097a, 0xcf1b8570, 0xce500497,
+    0x5ede1867, 0xbf5540d3, 0x4251c374, 0x603ac6df, 0xc87b21d3, 0x18910b51, 0x957bccc1, 0x852fb8dd,
+    0xe9d1a47a, 0x7386c496, 0xea2e98d8, 0x31bcfedd, 0x95626e37, 0x0446ec1d, 0x7ca9a423, 0x129c5c18,
+    0xacb39798, 0xca700a0b, 0x5730940d, 0x912962fe, 0xe3ef02c9, 0x27880369, 0x08c8e51a, 0xda603470,
+    0xf7cef50f, 0xc8b8050b, 0x67cd2f57, 0x8ecaf173, 0x447ed282, 0x7a2656e2, 0x2250f0ab, 0x454557fb,
+    0xf405ea6c, 0x0a2b7e02, 0x6e15882d, 0x79383bee, 0x429923dd, 0x2b7f3a72, 0x2816100c, 0x6ffb2b82,
+    0xe89f00a4, 0x70b01fdb, 0xc7b7cbc4, 0x598c470c, 0x97889dbe, 0x938d4c8f, 0xb3d6257f, 0x0db91d82,
+    0x52a55e6d, 0xbd0fc092, 0xf3af7016, 0xa2865ac5, 0xde4080ee, 0x9b8a5302, 0x3f5d8e1d, 0x0e2c0285,
+    0xde41f482, 0x81f7a90c, 0xe5a34a4a, 0xfc72d891, 0xf0ec0b16, 0x97849a70, 0x01cecaf5, 0xc878fc77,
+    0xbad2e4b7, 0x255a09e8, 0x2f1a6caa, 0x75534881, 0xad09a7ac, 0xe67d216e, 0x43a9460f, 0xea30d662,
+    0x1ee1794f, 0xe4a71516, 0x0f8d636d, 0xd3caec74, 0xf14fba50, 0x597938c3, 0x02d91f67, 0xf793647d,
+    0x089b1df6, 0xc15ce4c4, 0x4401902a, 0x8bce82f2, 0x5be6b244, 0x1e593e3f, 0x47dcb9c8, 0x04ebce52,
+    0xc8d4c26b, 0x481ef38d, 0x6906152e, 0x03cbaa91, 0xb0db5d02, 0x971a5636, 0x3761d13a, 0x3cb42446,
+    0x249dcc19, 0x0e3929ca, 0x1888e375, 0x63e42767, 0x2c136476, 0xde4826a0, 0x4e00dbd1, 0x3c06ad5d,
+    0x1d590b58, 0x271700cb, 0x38add0de, 0x19f4622e, 0xe3ad94c6, 0xa5097644, 0x16cdcc4f, 0x5c82c2cc,
+    0x335dfd80, 0x22530eae, 0x6a8b85f3, 0x1995f845, 0xfb00c679, 0xdb4a28ed, 0xc909a8ac, 0x3c332f28,
+    0xe51e8388, 0x597e6aa4, 0xffe53080, 0xeb4958a1, 0x8903ef4d, 0xd4573406, 0xd2505645, 0x9eda5b41,
+    0xdab14509, 0xaac018fc, 0xf8da8238, 0x8499e82e, 0x4929b4db, 0x02d44f5e, 0xd94d4eff, 0xf37b6d8e,
+    0xc48b74d3, 0x0aa78898, 0x6b80495b, 0x53ef22e6, 0x27181ccc, 0x1f0d02fa, 0xbd1c196e, 0x7013db22,
+    0x6451b7da, 0xbb18d6cf, 0x98ea4d0a, 0xb709bb35, 0x3c1e3f1f, 0x03323e5f, 0xfbb03ef5, 0xceee6866,
+    0xffd75110, 0x524a2e16, 0xfb7c37a0, 0x74ede0b5, 0x19b97909, 0x26fa116b, 0x51d97dd4, 0xaca34738,
+    0x8a354daf, 0x23a84417, 0x3d07b2f1, 0x79d50e0a, 0x83c5c012, 0xfe4f4bae, 0x22e1a6dd, 0x41f96a65,
+    0x18e01754, 0x6e9edc9f, 0x88605ce3, 0x81bb27cc, 0xfe2c22af, 0xa67092b0, 0x75efce1c, 0xb458e851,
+    0x537ce7e9, 0x6c188d65, 0x1833fe43, 0x4e917391, 0x024fa5fa, 0x10501f15, 0x31191f85, 0x910ae5af,
+    0xefea9590, 0xade5f30d, 0x8308e058, 0x256ef682, 0x9d4067c3, 0xf6061b73, 0x4860f70c, 0x5eb0b0a2,
+    0x8a536d98, 0x29581e77, 0x7d5b7e05, 0xda2ace74, 0x00fb1a13, 0xc43a62d6, 0x8d1b6c58, 0xe7891af2,
+    0x22d55b2b, 0xc36c4f22, 0xfbc1ce58, 0xedfc821b, 0x03b5e9b7, 0x0c27c405, 0x9920294f, 0x4cdae534,
+    0x9f240ea3, 0x6d4639d1, 0xe2e02435, 0x8ef9fd37, 0xaa716e4a, 0xb3764ad9, 0x5d26c838, 0xf7573295,
+    0x4dae28e7, 0xecdfa3b6, 0x331529bf, 0x55ce4d3c, 0x7888c718, 0xeedb61b9, 0xec8d28cc, 0xe676d66b,
+    0x917d7bd0, 0xa50ffead, 0x4a50e024, 0x9b27a27e, 0x149029ad, 0xdef74e86, 0x75cc727b, 0xd25d3dff,
+    0x36affb4a, 0x82e507b6, 0xc4be9589, 0xde15081f, 0x616af67b, 0x2cb952ea, 0x2b6aee57, 0x12b0bb83,
+    0x87925b6d, 0x89bac685, 0x6ffab074, 0x6f958ded, 0xfc38d0ef, 0xebf81e77, 0x3c4a44d0, 0x5f0fbad6,
+    0xc52f7125, 0x2eadabe5, 0xa684a4dd, 0x4a6a05f8, 0xfff90586, 0xd4fca69b, 0x582f310b, 0xc38b23d8,
+    0x2932775d, 0x222dac80, 0x15c9cd65, 0x26ca6bc0, 0x1ea737bb, 0xbbae4f55, 0xc5728b91, 0xd5948a08,
+    0xa137cd60, 0x6049565b, 0xea5e4025, 0x30da8418, 0x3072ed6a, 0xdc8e1907, 0x53cb0e73, 0xd3f5b118,
+    0xdb4a7753, 0x307a3a92, 0x1c2f053e, 0x64274365, 0x8bb8b702, 0x1c187898, 0x665bb35b, 0x41b5c6c2,
+    0x638c6df0, 0xe5ad7208, 0x2a89b444, 0x1910335e, 0x3d8656c9, 0x351b482c, 0xecc0b386, 0xe755956d,
+    0xc24b9b4b, 0xda3c3b6e, 0x814c2586, 0xc5858875, 0x1c93735c, 0x2186c62f, 0x6f5ed560, 0x868bd3f9,
+    0xbee47116, 0x64331eb5, 0xbbba2ba3, 0x76ad0d57, 0x61e0fc88, 0x4d64ca7d, 0xea2d382e, 0x3d30c015,
+    0x5548f68b, 0x50ea3a49, 0x475f4f45, 0xc3557cad, 0xf8a3e9b9, 0x5340f5c7, 0xc610e5ce, 0x70e497d8,
+    0x4f974278, 0x8832f967, 0xe2984db9, 0xb3574730, 0x40cfad6c, 0x69c5c2ae, 0x9122bd06, 0x730296cb,
+    0x9d8338bc, 0x9be825ef, 0x9f790c20, 0x6c31b0d3, 0x3759010f, 0x76c6509a, 0x1ee4bcb1, 0x6d89b184,
+    0xe639e5d4, 0xd0567b44, 0x4becf585, 0xc855c7f1, 0xe2cb01d5, 0xbed497a7, 0xe8234ac6, 0xeb17341d,
+    0xe394c810, 0xdc03ffb6, 0x08396621, 0xf364eea0, 0xaf0c0ce3, 0x4aa55639, 0x0e463399, 0x71ebaf70,
+    0x1f87b45f, 0x68ff9d65, 0x89db458c, 0xafa43fac, 0xc4a6d9ab, 0xe23e4484, 0x3431839b, 0xbb7b1f56,
+    0xb36a0313, 0xf8a4d73e, 0x1d3aad22, 0xb773f0e0, 0x77dc8435, 0x88239b18, 0xd291c4ee, 0x53635f4c,
+    0x77d9c4e6, 0x8a074fe0, 0x88488135, 0xdf14efb8, 0xae33ccd8, 0xcd9dc3a4, 0x21929baf, 0xddf3b709,
+    0x90e2e6fc, 0x4c1ade4c, 0xa1bab5bb, 0xba8083df, 0x492cad07, 0x38c058d3, 0xc56a631d, 0xf7c12c21,
+    0x5e043fb4, 0x16b62608, 0x71f0ee44, 0xc43d1836, 0xd23fff39, 0x2546f81a, 0x28e5ceca, 0x75d495f7,
+    0xbf2d27e1, 0xbac83fe1, 0x07919dfd, 0x72d6c681, 0x1fbae048, 0x02e1cb1e, 0x80b20237, 0x5b74e2a5,
+    0xf7c45adc, 0xcaeee24d, 0x09f863b4, 0x205dc0c0, 0xf3f5fc78, 0xc792c4b9, 0x8d0770b4, 0xbeccc24c,
+    0x0452c397, 0xc54ee2ca, 0x2930c8d4, 0xd74dadad, 0xaba31281, 0x20ca7c7a, 0xfc4e4a3b, 0xc3359e57,
+    0x58f5da89, 0xd52a64ef, 0xc8c3c8aa, 0xc810064b, 0x4e47e061, 0x8e79c9e4, 0x5f318c9a, 0xdde086b6,
+    0xd7f7a0cc, 0x662b1178, 0xcf57ec2b, 0x719aeda8, 0x8f98700a, 0x08fd94c9, 0x81775e46, 0x7fe62a09,
+    0x638a9af4, 0xd1d4cce6, 0xb734b505, 0x486fca8f, 0x98aefe90, 0xb347a2ca, 0x33431965, 0x68e29502,
+    0x84577f0f, 0x6ad29ac1, 0xe231c0e9, 0x20757f8b, 0x62b20ed3, 0x74457c6d, 0x8e88e1ed, 0x72c9f9be,
+    0x6050f8f6, 0x2aa0428e, 0x7e27c7c7, 0x68261682, 0x0999e203, 0x0761c87b, 0x78010aa5, 0x7afeedba,
+    0x9d9d5a95, 0xd2eca6a0, 0x6df3ed25, 0xc32feb63, 0xf02f3f98, 0xe7eeb522, 0xa65c18d1, 0xbf8e7784,
+    0xa3f00514, 0x1a8ff787, 0x0d68a4f7, 0x697d6d4f, 0x9dc449cd, 0x7049a28d, 0x75ba3cf5, 0xee26087e,
+    0x7499bb67, 0xca315079, 0x77ac949d, 0xd9eaf8d6, 0x7489903f, 0xd9cc44dd, 0xefd61f97, 0xd2c76a73,
+    0x41debd17, 0xe7f03561, 0xa61dfbac, 0x72a743cf, 0x702a3779, 0x7302feea, 0x2a9a66e2, 0x822e1f67,
+    0x73c01815, 0x1bf4d108, 0x1bea0e1b, 0x88ffbfb8, 0xc23e2ddc, 0x4790cc56, 0x46616185, 0x19691f4e,
+    0x681764d4, 0xf7efbccc, 0xf9a8d000, 0x1df17389, 0xf56d4023, 0x60cedc09, 0x2492cea7, 0x7377498d,
+    0x7d3b7cda, 0x71f2d9c5, 0x28d9dc70, 0x818cad6a, 0xced19eab, 0x57f3f5b2, 0x6e82bb55, 0x36c2563d,
+    0xb6d53af8, 0xf4c0ee7d, 0x8f094caf, 0x8675e012, 0xed8cfa4a, 0x518a0c0a, 0xa5fa459e, 0x700bfe0a,
+    0xaa616214, 0xc8d3397c, 0xc80ec9c8, 0x51bd533d, 0x94a7c7b8, 0x435e75a2, 0xfd33aee7, 0xe120bd2b,
+    0x94244a56, 0x33c16773, 0xb97ffcc1, 0xb324358e, 0x79eaabb2, 0x550875e8, 0xea9b61bd, 0x79ccfb0a,
+    0xde05ee1a, 0xec16a661, 0x45c4b4c9, 0xf59bc61c, 0xc0b601fc, 0x202728c0, 0xfa057dc5, 0x3eb45730,
+    0xb6b79fe0, 0x2f648e8e, 0x91afd758, 0xee4f8055, 0x914362a9, 0x4676aafb, 0x7bf02525, 0x7687e3c7,
+    0x0c6e87a4, 0xc1557cf6, 0xadc179ba, 0x9502ca9e, 0x30c09987, 0xb40a966b, 0xbf286663, 0x14a6e10f,
+    0x29e9bb39, 0x47d42563, 0xdcda733c, 0x6d4f0c25, 0x1c443e2a, 0x38c4d18a, 0x3630f102, 0xe92c7191,
+    0xffc14d43, 0xb273b3fe, 0x8f396cef, 0x6adc5832, 0xacaa880e, 0x30e0a63d, 0x0b2ad897, 0x3fa9659a,
+    0xecbc5f43, 0xf673e98a, 0x77a421fb, 0xa9fce974, 0x16d3e86a, 0x17c2ae0c, 0xb5baf567, 0x9d9d0b0e,
+    0xb36d9c7c, 0x05feaad7, 0x7f09e3c5, 0x76a6468b, 0x127f6dcb, 0xc940888a, 0xe4267a6d, 0xf457145f,
+    0x1cec01be, 0x91b99540, 0x217fa809, 0x2eb0a961, 0x135a3e75, 0x45f22f80, 0xf35113f1, 0xe2a20740,
+    0x4a8791e9, 0xe90a798b, 0xd8e715ce, 0x47d3131b, 0x12036b58, 0xaf4275b3, 0x5fa38eaa, 0xf525bcde,
+    0xb46f8074, 0x90095b2a, 0x72acb06c, 0xe3447a37, 0x7b39433a, 0x5e49b47c, 0x59c3013b, 0xf441dea0,
+    0x5763ee0c, 0x0bd9e3e6, 0x81fe01aa, 0x89d4d2fd, 0xcff37d7c, 0xb432546e, 0x870962f3, 0x51dfe858,
+    0x625f461c, 0x2b31c4f7, 0x801613f3, 0xb41278ce, 0x1f105e00, 0x710b5b3b, 0x31e4797e, 0x1cad725b,
+    0x417d96f0, 0x1c82b1c7, 0xb041d916, 0x229d7f61, 0x09f3c36f, 0xa193c6e9, 0xb5623e91, 0x94de971e,
+    0xb32bf9ac, 0x3b2f34b3, 0xf08d1b2a, 0x2974f594, 0x6b047462, 0x97040cfe, 0x8043da65, 0x2d682eb4,
+    0x94aa968e, 0xa7f8c143, 0xa71d4e96, 0xc9758374, 0x675bf201, 0x9c828d75, 0x5c51756c, 0x336cde78,
+    0x54688728, 0xc5449559, 0x1d86e3aa, 0x01617b6f, 0x7f503b99, 0xaaddbb07, 0xf0c1a593, 0x90698cc0,
+    0x41548d7d, 0x821efa5a, 0xf1e455a4, 0x2a80220d, 0x7286143b, 0xf888faa1, 0x26ecc57e, 0xe796eab5,
+    0x762c1749, 0xce879b56, 0x0c13ae1b, 0xfb9576eb, 0x3d8af45e, 0x028ed10b, 0x0afc1a57, 0x34616a95,
+    0xa9ad6c3d, 0x3fb2bd22, 0xcf6b9744, 0xf9c4f47d, 0x6ddfc0c2, 0x134eed04, 0x8b44ef28, 0xe50f0f30,
+    0xa83bd0c0, 0x1d6fb70d, 0x54dd6a1e, 0x29c28d15, 0xf3ae9e1d, 0x11a5f601, 0xe2519c19, 0x839783b6,
+    0xbf56a175, 0x22bb42eb, 0x71b5bb51, 0x19722f27, 0xf93f8c10, 0x79aed4f3, 0xf20303c5, 0xe860e94b,
+    0x46f9bc97, 0x65b27267, 0xef6ee510, 0x88f441e8, 0x979b88a1, 0xba9b558a, 0xeffc00b6, 0x6137ac03,
+    0xb5319d6d, 0xf9d745b9, 0x2afb38a4, 0xb5f142fc, 0xd42fa269, 0x000392ca, 0xc3d09ffe, 0xff4aa99a,
+    0xdc9e31cb, 0x6347f75a, 0xd8ec4010, 0xeafb82e9, 0xc177c071, 0xaf81a97b, 0x0ae4c346, 0xa8a6eead,
+    0x2a2729dc, 0xc3beb081, 0x93fe5540, 0x825f83d7, 0x5d952066, 0x403118dd, 0xa6d7af0c, 0x1e756b40,
+    0x7f82918c, 0xd8f7b954, 0x25e17568, 0xbc39b5db, 0x4ce753fd, 0xc3cba632, 0xecfe7938, 0x069f8705,
+    0x72182ff2, 0xe2631c9e, 0xa6229008, 0xa5b65397, 0x1da1cd60, 0x36d8fb79, 0xc9962b26, 0x9cdc4941,
+    0x9e4d25a4, 0x7f42bccc, 0xc1be13aa, 0x4618af39, 0x950338fb, 0x2085fe8e, 0xacbd7df9, 0x90b5f235,
+    0x25fd5836, 0xb16f21af, 0x4c4b41a6, 0x91ba2752, 0xbdc80ea8, 0x111e2df0, 0x60b2adfa, 0x889792e7,
+    0xd627e411, 0x34fcba51, 0x73e75cc6, 0x5d3b6c71, 0xce909357, 0x34d54312, 0x55bd964f, 0xdcf1b96d,
+    0x618e7990, 0x91cca956, 0x832c4d44, 0xb8f00bfe, 0xc0a9e054, 0xe8fdd3ad, 0x169501cf, 0x9a26c754,
+    0x5c6f3ca1, 0x1237a028, 0xf1cfb9ba, 0x37b81d26, 0x6ae447ee, 0x0b5c9922, 0xa8593abe, 0x3b8a6361,
+    0x0f1e9c89, 0xbcb224d7, 0x93582e21, 0x2dec86fb, 0x69798733, 0xbf6d2349, 0xbb5d5170, 0x476d62b4,
+    0xa973ef48, 0xa10438d2, 0x99883032, 0x541956e7, 0xbe6d10f4, 0x8caec2a2, 0xdc165f2c, 0xa7945fae,
+    0xb24bed73, 0x80664b8c, 0x17a507fe, 0xf87ed3cf, 0xa35000f0, 0x9923abd5, 0x66e1dc66, 0xef7963a0,
+    0x5345c4fd, 0xe6d53b4b, 0x67a3cfee, 0xe09e70aa, 0x56e06cde, 0x1eedb3ea, 0xac838e84, 0x00f78acd,
+    0x996ba2fe, 0x2e9f6f95, 0x471b8ae8, 0x755dbb7c, 0x71575877, 0xad1e6d9a, 0x82d82815, 0xed00fa50,
+    0x81d03810, 0x52945c5d, 0xa3914023, 0x5288ae9e, 0x5d3df12f, 0x9a72fc56, 0x788204db, 0x67ee3b51,
+    0x99d365d0, 0xa442f52b, 0x15678750, 0xfa6dbad4, 0x6972774c, 0x4828f5d2, 0x71c249b9, 0x784a193c,
+    0x47022c70, 0xb7b80864, 0x086b3aec, 0xf7fb085d, 0x35a4f61f, 0x1f6f9b30, 0xd03817e0, 0x195d2051,
+    0x1259fb26, 0xaba0f21d, 0x126b9e3a, 0x8da245ee, 0x0ca87cce, 0x5d7e7361, 0x1d017e44, 0x42fa6887,
+    0x5e3758d2, 0x128dc9c8, 0xb1c015e3, 0xd186825c, 0xe99b0870, 0x6c640ecd, 0x56ac1bb0, 0x95851368,
+    0xdefe119e, 0x886cd0d1, 0x246e9422, 0x80394ef4, 0x16a9d0a6, 0x5b44cabd, 0xe04e7ea3, 0xec37a1d7,
+    0x00000000,
+    0xdd51f3a2, 0x6650fde9, 0x2e7859d0, 0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4,
+    0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000085439481436836403295\
+                         80086824678208458410818089426611079788166431288878903122562200091848347746304 */
+  { 0x00000000,
+    0xfb7d89ce, 0x65695299, 0x2421821c, 0x26c256ed, 0x7c9f5493, 0x6b61a563, 0xd989a342, 0x0a550681,
+    0x45971deb, 0x26f94f4c, 0x3b2f2cf2, 0xba2a6fbe, 0x9c724c75, 0xac2bfc26, 0x68740dc0, 0xfd92ff47,
+    0x8a69b589, 0x641dd371, 0xd5e1c0da, 0xb264d23d, 0xb71420c1, 0x27ee3cbd, 0x2bdb6cd7, 0x429baa54,
+    0x06c039be, 0x99cb7bed, 0x0f65e8fd, 0x1c389618, 0xae27b0c6, 0x56194ba6, 0xe17152b3, 0xd8c78cfd,
+    0x955e1057, 0xe84d564c, 0x49ed14b7, 0xbd78ba46, 0xf0b5323b, 0x1ee89d5b, 0x91871dd5, 0x0096f259,
+    0xfec36bbe, 0xe57aa078, 0xfc09d14b, 0x59583e65, 0x9f657683, 0x697ecdd0, 0x40045f1c, 0x9000b6da,
+    0x95f105c5, 0x5f492311, 0xdabdd61d, 0xab0eb975, 0x9256535c, 0xa65a41dc, 0x8eefb039, 0x819dd548,
+    0x390bd592, 0x52ee53cc, 0x70db9923, 0x5e79e4f8, 0xb0d0a47b, 0xfe7d137e, 0x239a326a, 0x5daf1477,
+    0x3bb071c5, 0x453dd12e, 0x1d1042a0, 0xc74aadcc, 0x7b95e57c, 0xad5d65f7, 0xd81ddd9b, 0xa9c93d93,
+    0xfde07809, 0x6701f419, 0x426ff465, 0xd8cb6c9f, 0xbcfbe99b, 0x70cd3682, 0x8d7aac02, 0xb11b9a49,
+    0xe96565b7, 0x52116cf6, 0x3d5abc72, 0xcc5d03ea, 0x987fca47, 0x916b9563, 0x5940370e, 0x5df2cb47,
+    0x8c9ffc7b, 0xa97b072a, 0xbd3b38bd, 0x3ef6eb5d, 0xe527979a, 0x0c21ca50, 0x54b8aec4, 0x8c5b21f7,
+    0x1872114f, 0xb4fb6e03, 0x0bea0f89, 0x8815fa6d, 0x35db00b3, 0xdfb81dc7, 0x44c2236b, 0xaa26a413,
+    0x3592762a, 0x066c1b6a, 0x9bc6537c, 0x013a7008, 0x1c005250, 0x31119714, 0xc8910bd4, 0x0b419cdf,
+    0x0d8c746f, 0x5f13f1fb, 0x1da35080, 0x8062076a, 0xc9aec465, 0xcbb9bd5e, 0x252c0738, 0xbe402e5d,
+    0x10224cbb, 0x8572547e, 0x28c57a76, 0xb9fa8b8a, 0x28fead94, 0x0210b8b3, 0xb53e1d72, 0x7790825d,
+    0x0c5333dc, 0xf72697a1, 0x4bff4a27, 0xb4faff67, 0x8ad46d15, 0x1b31a865, 0x24918e8e, 0xaca1e3ab,
+    0x374bddc8, 0xbed0db80, 0x029d8d10, 0x445c7753, 0xf3acfe49, 0x906af67a, 0x685b8e62, 0x0461c149,
+    0xb58c8f52, 0xb2e1a336, 0xefbbbd46, 0xd271b72e, 0xada1193a, 0x9cddf6d3, 0x0e5b1d2d, 0x5ce7bb52,
+    0x818a656a, 0x21e17f9c, 0xcd70edb1, 0x8b406474, 0x2e682635, 0x31194ec1, 0x57df552f, 0x68ad102b,
+    0x6849a857, 0x2d889da5, 0xd59febae, 0x5521a751, 0xb83f6d89, 0x1525afcf, 0xfdc21905, 0xc35bfc06,
+    0xd03cb7b2, 0xd29041e3, 0x70980db7, 0x4265b64f, 0xc5c79de5, 0xaee231a5, 0xe22fd042, 0x95508759,
+    0x7daae6a4, 0x4d5fe020, 0xc0a27a98, 0x41ba006a, 0xeddda12f, 0x59abfa11, 0x037b5f5e, 0x4dcd0c6a,
+    0x8a6f7e76, 0xe84b2c3a, 0x4ad65c21, 0x4cefdf3a, 0xbbb86e30, 0x3dbe82d7, 0x397232bc, 0x3253c8b5,
+    0xc960ee21, 0x00089888, 0x061d6af6, 0x5a5501ce, 0x777ca9da, 0xc4989745, 0xee8b6487, 0xa09be645,
+    0x2d541b61, 0xae80a54b, 0xb5805496, 0xfec34d6e, 0xacfd3557, 0xd9bde9ec, 0xd211b4d7, 0x4e4b5d3b,
+    0xc9950dd1, 0x4e1f107d, 0xbcc6a9bb, 0xd59ab290, 0xa8d0fd2d, 0x9a4dc876, 0xc2a21c8a, 0x0b868deb,
+    0x8ff2e8c8, 0xbe34e875, 0x2d1fc4a3, 0xd3dafaba, 0x06d2c30a, 0x5dbcb4d5, 0x8ab74f37, 0x04f91af9,
+    0x39f84bde, 0xab53c64d, 0xf4384bb5, 0x3ea3d584, 0x73e47a4f, 0x95531bfe, 0xe24ce30a, 0x9f126e0b,
+    0xdaa4903f, 0x4459a25d, 0x489e7252, 0x0e6016e1, 0xfeb5400c, 0xab8ef5a6, 0xafbc2783, 0xea92cdec,
+    0x53a2af0a, 0x8c5b963b, 0x921f2fbd, 0xf9b93156, 0x6e2a967e, 0xc56254ea, 0xae188c67, 0x070efa13,
+    0x40cddacd, 0x37c2806a, 0xca8eef7b, 0x24d405f0, 0x846cf04d, 0xd8755e2b, 0x2b4854a5, 0xdd8ed10a,
+    0x22ef9999, 0x3cd428ec, 0xbbb4c6e2, 0x9f13a7ab, 0xb916c1d1, 0x69926fb7, 0xf3b06ff2, 0xf78d40a1,
+    0xa769bce3, 0xa28c776c, 0x2979022d, 0xbe6e2d42, 0xcc251b41, 0xa5745eef, 0x37b41b10, 0xef57d1ea,
+    0xe24e36a6, 0x04e50228, 0x1ff25d6d, 0x88dc9550, 0x798632ba, 0x076cf061, 0x0000cd4a, 0xba99b018,
+    0x6dd7f317, 0xa90226fc, 0x61b567c1, 0x355fe762, 0x7706aef8, 0x7726c86a, 0x650faed0, 0xe63494a5,
+    0x3db319af, 0x6106565b, 0x2573111c, 0x95fb4974, 0x5378e430, 0x59e13c19, 0xf3e625c3, 0x529f9cdc,
+    0xff29a939, 0x5653f2cc, 0xf172e71f, 0x2193e000, 0x607d92f7, 0xaa54f050, 0x540c89d2, 0xd403d4b8,
+    0xc49143ca, 0x864cf90d, 0x48a2eaa4, 0xbfe90e2d, 0xcf02de9e, 0x49be9d17, 0x0309b6d2, 0x6c025186,
+    0x8b020f7a, 0xcf9c8f74, 0xe0b2cac1, 0x79225880, 0x98df3e67, 0xad90556c, 0x396b3ffe, 0xb2d70533,
+    0x1df9aa04, 0x85d4a6ae, 0x7942b785, 0x18e9cea9, 0x645d7d2a, 0x7c4a1f0b, 0x0516efd5, 0x4d15c4e5,
+    0x97e62609, 0xaa32ef01, 0x6090f077, 0x29dce2ca, 0xe194a125, 0xdbc6eea0, 0x44bc11ee, 0x2279be53,
+    0xf50fbfaa, 0x13dfcf5b, 0x3fa55492, 0xbf549f7c, 0xffd433cc, 0x53e3baea, 0x4abed930, 0xb663f237,
+    0x1c958c89, 0xc0bd009c, 0x10c4250c, 0x393299d7, 0xe46ae5af, 0x90cee54a, 0x4ea89736, 0x6e4458e8,
+    0x0242999f, 0x77b4346e, 0xca382cc2, 0xe3672cc0, 0x9f86318c, 0xf128ed6e, 0xb2dfee7c, 0x3d250c17,
+    0x07414e49, 0x7549fc55, 0xb3813afc, 0xe5ef44f9, 0x0e82687c, 0x09eeac11, 0x0f117adf, 0xfc8ab78a,
+    0xbc8e3787, 0x29dcc75c, 0xcdd071cd, 0x39bff407, 0x763fadbd, 0x1009fba1, 0xb8e5a06a, 0x014d62f9,
+    0x7a1be90b, 0xe2989859, 0xb1e329e2, 0x5ba2e068, 0xe5b440d2, 0x4fc4ea89, 0x4edb843f, 0x2d9e4285,
+    0x665d26db, 0xd5a96d2c, 0xd360dfa0, 0xd00ba129, 0x86ac70b1, 0xc5440d0a, 0x7afc7fb9, 0xec648254,
+    0x10609b2a, 0xe4e7c886, 0xd119b763, 0x74560587, 0xccbe3284, 0x8afc7759, 0x881c5b69, 0xaf1a1aa4,
+    0x28cb6e63, 0x57b4c725, 0xf473ef87, 0xd30ff6f0, 0xbad13145, 0x0bc7e45a, 0x2f39df8c, 0x7afd89bf,
+    0xe91fbd5f, 0x768dd80b, 0x71949cf9, 0xa4fa805c, 0x0dfce38f, 0x422e4d6c, 0x4d7033b5, 0xe668d39c,
+    0x5f5ee252, 0x028912e4, 0xfb475323, 0x4ea4963f, 0xcdfe68bc, 0xc28bf4a8, 0xe507ee02, 0x75b5b93e,
+    0x1be96fcd, 0x73cbaea5, 0x5116a47b, 0xd58ba5e6, 0x5783031a, 0x27c8e38d, 0x68432db7, 0x70085b19,
+    0x9c0ccd05, 0xb8ec307c, 0xfac1ecc5, 0xc12cb074, 0x3412c5e4, 0xb4b5625b, 0x9574e013, 0x6f58fe5e,
+    0x761e1e62, 0xbb0eccf6, 0x88d5ca9c, 0x91cd36b8, 0x2ce57fa0, 0x3ab36725, 0x354e79c9, 0x6770a60c,
+    0x1fef7874, 0xef171d22, 0x235c985b, 0xf776d585, 0xfe5aee29, 0xdc4e8206, 0x9aa55a93, 0x6e4d2487,
+    0x67692b02, 0x57666d85, 0xecb1329a, 0x1ac097a0, 0xf6364e0d, 0xbe862a1d, 0x46f2b52a, 0x035cba7e,
+    0x76fd45a7, 0x3e0bbce7, 0xa68ddb65, 0xedc785f0, 0x037aa934, 0xa52490e1, 0x5256c3c9, 0x9a4791be,
+    0xeea9bcf4, 0xc3a701cb, 0x40188294, 0xc1142edf, 0x5ea95df9, 0xe68d5e91, 0xba42df4b, 0xfb5f9fdc,
+    0xea75c7d6, 0xd0b140ee, 0xc453a9e6, 0x90af4ca4, 0x22da885c, 0x2738af4e, 0xc99a2861, 0x7c9f68eb,
+    0xdab24c1d, 0xb16e12a3, 0x29d6e5e0, 0x01c1771a, 0xc9aafe8f, 0xb8da1f5b, 0x0009b531, 0xaa7fac97,
+    0xb7bea643, 0xd651f0da, 0xda9f5282, 0x93ecfe6a, 0x04601a26, 0x7482d566, 0xe5b9c01a, 0x0b27e97e,
+    0x3501bdde, 0x3db4d241, 0x7ed8a26d, 0x4ab983a0, 0xaf6c410d, 0x64d83a8a, 0x77e1e236, 0x5a48fba3,
+    0x7e07b012, 0x483d9efb, 0x3a9a2382, 0xccd34180, 0x55b0b687, 0x950357bc, 0xb8ef0326, 0xddd26c0d,
+    0x44d47f46, 0x02ae9b7b, 0xe8c02072, 0x1227554a, 0x62e7c970, 0x061a395e, 0x9951569c, 0xd106d0dd,
+    0x7ee956e0, 0x975414d7, 0x838a9a15, 0x1e9b5c77, 0x7851f07e, 0x9ebc282e, 0x6df2d788, 0xb085fa71,
+    0x3738a5e6, 0xb26bcdcb, 0xd35f3fe0, 0xaaf87cf7, 0x7f8a9208, 0x9349b98a, 0x231b6da1, 0x232fb719,
+    0x20a50b3d, 0x5d93419a, 0xb76e157b, 0xad43b675, 0xae0b586b, 0xcfceb4bb, 0x8769253c, 0x1d8916bb,
+    0xcad7dd57, 0x5564f27c, 0x603882e9, 0xe87baac3, 0x7bd45e31, 0xbd52f6f9, 0x1dff5fcc, 0x3aa2f2f5,
+    0xa5f0999a, 0x219a713c, 0x48d18451, 0xf231f324, 0x567659df, 0xcb3bd4c3, 0x8766f559, 0x1b4bf69c,
+    0xb302daf4, 0xfa58d5e6, 0xb541082d, 0x085ccd39, 0xe2dc4480, 0x8f4cfa3a, 0x98eb7677, 0xcbc62068,
+    0x037b328f, 0x4bbf4ef8, 0x995f9df4, 0x4de3fca9, 0x22bd0bd0, 0x58ad0812, 0x2506ad15, 0xa8de4cb0,
+    0xb54834b6, 0x8ff4c623, 0x13f1bf3a, 0xc8957df4, 0xc2b86326, 0xc83b7f3a, 0x3a6942f6, 0xf41e2978,
+    0x2191a6ee, 0x1211a004, 0x72d7f945, 0xaa627936, 0xf9ba16da, 0x4afe8440, 0x3efd5131, 0xa826086b,
+    0x1a3cf270, 0xe2acd920, 0x83913bad, 0x565a6575, 0x50b65f67, 0x9ee47ae3, 0xb011031f, 0x590d6ad6,
+    0x509f140e, 0xfab10f09, 0x64dd4710, 0xc27a548a, 0x37662ba4, 0x00cbc017, 0xe3e4d29d, 0xb6ef0a2a,
+    0x0aed4683, 0x01da1737, 0x6a563e10, 0x2ae2ae6f, 0x970573c7, 0xb20ce17b, 0x2994914a, 0xe67cca6c,
+    0xba15f275, 0xd8f321c9, 0xb6c19ae0, 0x106e2225, 0xa276e154, 0xae4641ff, 0xdf94d198, 0xede0270a,
+    0x75d60230, 0x7f13a513, 0x23f314f3, 0xd640cdc7, 0x273b5881, 0x5aefe482, 0x1a2ff16c, 0xbb701743,
+    0x628eaece, 0xc52ef52f, 0x084606f6, 0x8e000f84, 0xd7ab9c3e, 0x26ce6468, 0x688d37cf, 0x053199dc,
+    0xc8ffc173, 0x126b20cc, 0xb90207a1, 0xc47c8833, 0x9184fc9b, 0xb67fa188, 0x7acb9656, 0xe800a0de,
+    0x65be1cb9, 0x834eaf47, 0xcafd708c, 0x568a0ba6, 0x39cb3bd9, 0x90aeb867, 0xde2448f6, 0xee1bdbb0,
+    0x8fcbabb3, 0xe8d53fcd, 0x411d30b1, 0x8fca5dcf, 0x89acaff9, 0x4a3daf79, 0xb4340916, 0x51dab90f,
+    0xddf4a044, 0x89b51348, 0x8198e223, 0x9ea26d78, 0x2b625022, 0xb3dcaaf3, 0xda1ce049, 0xfe5ebfee,
+    0x22e53b77, 0x7c96757e, 0xa65efe0e, 0xd3743dc2, 0xbdefc46e, 0x98bb9dfa, 0xa4b00b51, 0x65ddabbe,
+    0xd937398d, 0x2a18a771, 0x3102b7c4, 0x8b618156, 0x34de35f1, 0x185dfadb, 0x7d9f601d, 0xb20120f7,
+    0xd252e38a, 0xfe9ac66f, 0x290489ab, 0x8dd45bf6, 0xaf0a6449, 0x77138bd4, 0x1151676a, 0xf47f0704,
+    0x64e4dcca, 0xf3a17494, 0x6cc4dbb5, 0xebf75bfc, 0x331430d0, 0xcc2f32bd, 0xfce1d968, 0x360e2fb2,
+    0x6d95f80b, 0x157f0f85, 0x6698de82, 0xb62a3e0c, 0xbc47174c, 0xec0c7dfe, 0x319531b7, 0x429f720f,
+    0xd2c76bcb, 0x2ae66666, 0xa0b733e7, 0x61da404b, 0x9fcdca83, 0xe448623b, 0xfe36670b, 0x85e9cc6e,
+    0x879f2b13, 0x58f0d96d, 0x173d9e5b, 0x1f7f4221, 0xe3280b37, 0x66cda276, 0x04fd37c5, 0xded60693,
+    0x98152702, 0x085b879b, 0x245c4207, 0x1149d3cb, 0x7502d68b, 0x3dd0de87, 0xd95495f9, 0x010c8f8a,
+    0x0c251ed1, 0xddabf0e8, 0x24ee7a01, 0xed6403ad, 0xd549a0e6, 0xbc93fc98, 0xd50f0159, 0x18de0d7b,
+    0x0a89e48a, 0x4bf9eb7d, 0x13bfea3b, 0x56a07b2e, 0x9c32f61a, 0x961f8778, 0xd6bd795e, 0x7982f147,
+    0xc99d391f, 0x7a29abb8, 0x92d25324, 0xd5ea9a5f, 0x9eeb004a, 0x2becd245, 0x2f574563, 0x4e81df35,
+    0x2348417d, 0xf0b07a03, 0x8c787b5a, 0xed013a96, 0x3a65981a, 0xf31a9936, 0x9a9a7a25, 0xba6c5364,
+    0xdaa46bd6, 0x2c096a77, 0x181be779, 0x4193a5ae, 0xee4ce87b, 0x08cff54e, 0xda046da7, 0xc54b8770,
+    0x66ee3fa5, 0x5c69b1f4, 0x2d956e2e, 0x05125870, 0xd43d7436, 0x3552d2d1, 0x9335d50d, 0x1ad894a5,
+    0xe8c78a7e, 0x9c52bb2b, 0x8515d5f2, 0x683a82fe, 0x254f72d4, 0x05e1cd96, 0x5dd2802f, 0x00b66d02,
+    0x8c87b4ce, 0x8858f58b, 0x6515e9de, 0xd0576efc, 0x9ccd8c15, 0xea179cf5, 0xa4a65771, 0x8c615608,
+    0xe00ccf49, 0x469266ab, 0x96ce7379, 0x1dd91961, 0xb8adf7fe, 0xf9c05d40, 0xe5c29716, 0xd02df0be,
+    0xd88dcd78, 0xaebc9cd7, 0x1c48d7c5, 0x2c338f09, 0x902bc630, 0xa049093b, 0xb851965d, 0x23ebe4cc,
+    0x6722a845, 0xe88fa695, 0x45ad730d, 0x10c17702, 0xf40f04c9, 0xbefb8a91, 0x74e861a5, 0x2709fcb6,
+    0x76dde562, 0x5136883d, 0xb8883488, 0xb0bcdc67, 0x06605ca6, 0x40c5b8c9, 0x6172d445, 0x515c9ebf,
+    0xa36ec906, 0x6fb2c647, 0x78d72e5d, 0x300da50f, 0x5ba3015d, 0xeb41f72f, 0x6a69a266, 0x5d7a8094,
+    0xdfcec822, 0x28c82477, 0x48dd2604, 0x2b3ac157, 0xa27e62da, 0x95b1d9d7, 0xc5c79951, 0x1b14c755,
+    0x73fe5186, 0x496efa71, 0xdf9b28a5, 0x516d8d9b, 0xa0ec5184, 0xc330cab9, 0x79ad0070, 0xa01a7fce,
+    0x055e50fa, 0xb7781ff2, 0xfb866282, 0x5c6d0bef, 0x53149c75, 0xcad49ee3, 0xd06f83bb, 0xdf27ac21,
+    0x37acc967, 0x449983fa, 0xa8f7f7e2, 0x37587924, 0x3edc8f9c, 0xaad537de, 0x5ba532ff, 0x1472c8c4,
+    0xcef5d580, 0x34451e88, 0x3a7ee5c8, 0x3b83004d, 0x10e9a108, 0xf01bb5d5, 0x1d1651a6, 0x306e1123,
+    0x74d41b57, 0x9696f74f, 0x0d1a3aac, 0xe4092d69, 0xa824bd05, 0x24da96d5, 0xe65b8818, 0x88d6525d,
+    0x1d722744, 0x5b27ec8c, 0x7f2f98f1, 0xc1e656f5, 0xcdc86a2d, 0xed843c8e, 0x14c40204, 0x6cafbb13,
+    0x578d98b4, 0xe99e1ddd, 0xa006719c, 0x16645b39, 0xd5b7fdc6, 0xfabd9372, 0x7e10b699, 0x26206977,
+    0xfbdc324b, 0xdbce7045, 0xf6ad8ac4, 0xfc4ba533, 0xa2e6db84, 0x75dbd504, 0xecf67b5b, 0x61aa3837,
+    0x67b2b5f2, 0xe303f99e, 0xe5827832, 0x26b1cfd7, 0x649f14bc, 0xc9d18d40, 0x7a288929, 0x6336efa3,
+    0x7ca20108, 0xfba23b5f, 0x4fcff932, 0x7c4d1ee8, 0xb0a5ee61, 0x1c8272b4, 0x313a0bde, 0x4f268c9f,
+    0xa5fc227d, 0xa9be6bc3, 0xbed0cdf2, 0x711ece0b, 0x729f9605, 0x87a7adbe, 0x825d1d4f, 0x320ca5bd,
+    0xd91556cc, 0x96203663, 0x0532a790, 0x5e3361b6, 0x4168858f, 0xf1b9413b, 0x1ce653c8, 0x291fff14,
+    0xb69d5141, 0xf9254959, 0x2604c77e, 0xcaf76428, 0x8ddaf133, 0x1c35f8d3, 0x7bbde0d5, 0x96b90b89,
+    0x6f3400a8, 0x8459f938, 0x8c59ad22, 0x021fa9c5, 0x5d2d0c5d, 0xc8d09ad0, 0x15482966, 0xba354b58,
+    0x85efdf49, 0xd7940b21, 0x4bfd4940, 0x711dfbb5, 0xcd6cce53, 0x9d03e652, 0x97d302fd, 0xd25039b8,
+    0xf136d263, 0xb316bf4c, 0x104d492b, 0xcec61ca4, 0x62690586, 0xb65d0dcc, 0xe83a9dd5, 0xa3892f2e,
+    0x4c025eaf, 0xb9a58afd, 0xd5f3cb22, 0xdf9b5ae0, 0xe2f5967c, 0x6829fd53, 0x167045fb, 0xc9c18d2e,
+    0xbe8f3a61, 0x05c0d8a8, 0xb302ccdf, 0x76cdfdc7, 0xb185c844, 0xe539ee3b, 0x991e34e3, 0x2e8abf1e,
+    0xb707800b, 0xb8262e95, 0xe951dae1, 0xdc6bf643, 0x346aeeb1, 0x3c5d1070, 0x2d76020a, 0xf5e8e8fb,
+    0x00000000,
+    0xeea8f9d0, 0x33287ef4, 0x173c2ce8, 0x8db56404, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa,
+    0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000042719740718418201647\
+                         90043412339104229205409044713305539894083215644439451561281100045924173873152 */
+  { 0x00000000,
+    0xdb4dbc69, 0xb2d4e2d7, 0x23a2fb45, 0x7e2b6b8e, 0x88b63303, 0x9c3dc444, 0x46d2d4b7, 0xc9431e11,
+    0xcd8b06a1, 0xe6cf0868, 0x8e364ddc, 0x260d8c46, 0x04c40a06, 0xcb4f9cf1, 0xefe2f41b, 0xca4db75e,
+    0x6117a163, 0x2fbba121, 0x447750fa, 0x6203abc5, 0x1a04c62c, 0x5086f91d, 0xe24d663d, 0x2e2b14e4,
+    0x31b5ee2f, 0x0d2bf6c1, 0x1fa0a49d, 0x5d060d3e, 0xa2f29f1d, 0x70e58ed3, 0x75fafa98, 0x7dc7e915,
+    0xd03b5207, 0xc9cd00cc, 0xfab4c755, 0x458f7c46, 0x13196d19, 0x06c42636, 0xa23751e5, 0x5067ee6a,
+    0xd64e1ce5, 0x37d1498c, 0xd2c09b9a, 0x5034a2ca, 0x31804e00, 0x1d0df22a, 0xd67752a1, 0x07c07771,
+    0x2f9bffdf, 0x9d449534, 0xd139bfa5, 0x344934d0, 0x6d9e5ed6, 0x95b306a3, 0xa99d219b, 0xcdf6a814,
+    0xc5617542, 0x87908cae, 0x16eeb89a, 0x4ea96a8e, 0x1dbd6655, 0x74e31bd3, 0x097baac0, 0xad852bf0,
+    0xc611e91f, 0x68bff6d3, 0x02e34a2e, 0xf3d53c25, 0x212ca09d, 0xfd4f3f7b, 0x9006a6e5, 0xa38c62ea,
+    0xc98f2569, 0x18b6a8aa, 0x4855b31d, 0x7c7d327d, 0xa503ede9, 0x5e9a8386, 0xe357e204, 0x7f64336d,
+    0x2b91a10f, 0xb0a836c5, 0x885e451d, 0x6decd8f7, 0xe0c16558, 0xd7eb84f2, 0x0fe65f02, 0x59b63316,
+    0xc5cbceae, 0xd2669ef5, 0x8a2e3533, 0x5ce91905, 0x926864f7, 0x08893495, 0x22c68eb6, 0xea2a0160,
+    0x02a00500, 0x9e99ccd3, 0x80f2d0f4, 0x61d4a761, 0xf8b5eba7, 0xe174ef2f, 0xb022a454, 0x055e90a6,
+    0x32b79bed, 0x486c810c, 0xb6c72f9b, 0x177ead09, 0x34e4b95b, 0x290dcc75, 0xf40b414a, 0x299f43d9,
+    0xef63299e, 0xad8afecb, 0xd7c41175, 0x6e8ebfff, 0xf8369816, 0xe860644a, 0x0fd883d7, 0x37e135dd,
+    0xac101394, 0x1c40ea82, 0x7533c53a, 0x4f8ec1f0, 0x3340c03e, 0x3bfd02b6, 0xb3040113, 0x9ac5a149,
+    0xef1569f6, 0x6638462a, 0x2d43e9e8, 0xacdbd96d, 0x38003d38, 0x9a26bda2, 0x4784f90f, 0x1846e265,
+    0xa6d8aee4, 0xefee38a1, 0xf6321acd, 0x260a923f, 0xdadffd7e, 0x88230c73, 0x786b8d98, 0x0e50f013,
+    0x668dea55, 0x7c9a5044, 0xeb356901, 0x820a0de5, 0x7a609852, 0x9bcbc2ab, 0x95d5ff45, 0xb2d90509,
+    0xfebc51bd, 0xbed436ce, 0x0dc8755e, 0x8aab5030, 0xbca8f9d6, 0x88dde698, 0x21001797, 0xb61cfb9a,
+    0x60240557, 0x4837b73a, 0x761908b8, 0x2536e8f3, 0xa0237850, 0x118c234f, 0x463f55ec, 0xa3f0c511,
+    0x88902925, 0xc05382a4, 0x6071cf70, 0xd9d2e544, 0x61727fae, 0x64b2e00c, 0xa5940309, 0x2751c82b,
+    0x930ba7ff, 0x9f8bbf82, 0x82b9cc8c, 0xf9d70b38, 0x507c0cdd, 0xa8bb4519, 0xae43e033, 0x88657abd,
+    0x8bd6715f, 0x88052394, 0xbd6ed71f, 0xc4a888ff, 0xbc0d9eb3, 0xfc1bdbb0, 0x383b91ee, 0x0c87852d,
+    0x6e526a1f, 0xd86215e4, 0xf3b5ae54, 0xeda75d06, 0x65916328, 0xd86b09f9, 0x6dfaff58, 0x8ff2c965,
+    0x1831016e, 0x1bfec5cf, 0x9c6ccb9d, 0xd880ebf3, 0x1370a612, 0xb148aa4d, 0x3954743c, 0x93841574,
+    0x351bfc34, 0x6397f2e6, 0xf553ab1f, 0x37f9c535, 0x700c7769, 0xa6de2178, 0xf6eaaff3, 0x40ee7731,
+    0x11da46cf, 0x1a54b2c1, 0xb5bf9c18, 0x333c2297, 0xb2c817e1, 0x6cc416f6, 0xebe4ebca, 0x0d07d3ca,
+    0x83001da6, 0x3010891e, 0xaa7a72b3, 0x90ea015c, 0x496c32dc, 0xbfee0179, 0x0495c88e, 0xc24d2115,
+    0x34d03c4d, 0xd3f86fe6, 0x02be239b, 0x1dbcadce, 0x6b38df48, 0x9631e4bc, 0xee13db26, 0x88c59357,
+    0xd619b54c, 0x74f1e9ac, 0x9b973368, 0xdcb434a7, 0x5191c02c, 0x174189a5, 0x741d8aee, 0x055f3717,
+    0xcd5fc246, 0x0422b3ac, 0x19fcf8c6, 0x490a09d1, 0x889ee6bf, 0xa24c7505, 0x5c9d549c, 0xc610ba79,
+    0x924f94a0, 0x93f37b3b, 0x39b76e9d, 0xd012dc8f, 0x46cdfe50, 0x54a70476, 0x3facfaae, 0xf2503edf,
+    0x8d6984dc, 0x77c67b2b, 0x3fc63b8e, 0xffa6f162, 0x71d8c060, 0x1e1e8d09, 0xc85b2449, 0xab2d46bd,
+    0x1e3c3fc0, 0x3a422674, 0x59bbeaf3, 0x6e9be4f1, 0x10aa1380, 0x128a40b5, 0x8b96cf7f, 0x80fdb7d3,
+    0xfb27d79c, 0xf7ef4268, 0x1311106e, 0x934a7278, 0x3ba6342f, 0x550be71c, 0xe29bc8ad, 0x9ed4aaab,
+    0x4d3dd259, 0x802d95fe, 0x456f436d, 0xcb37eb6f, 0xf89c2ae8, 0x1b53ea16, 0x6fcef95a, 0x782c1f58,
+    0x0e85d5c1, 0x7240ce7d, 0xf4c51f08, 0x1f1be724, 0xe7df6e59, 0x7005f291, 0x058df3b5, 0xa7fd3232,
+    0x2be12f3c, 0xf3ddd282, 0x02ecbdc3, 0x7d015f0b, 0xd2428539, 0xbe4c5a37, 0xed4a4c74, 0xff563c19,
+    0x4a637bf8, 0x11bc75ef, 0x49d6640a, 0x102852a7, 0x477efed5, 0x851d7a71, 0x659e5595, 0x0620837c,
+    0x83c868d0, 0xae1e9a11, 0x47714cbc, 0x633a8e27, 0xc432e49d, 0x61a5bab4, 0x9b1762f8, 0x15525316,
+    0x7a7c14dc, 0x23b1a527, 0xe4348dc0, 0x84450089, 0x9314b422, 0xfb561acd, 0x59315e6f, 0x56eec627,
+    0xa89df2db, 0x49153a28, 0x1775d424, 0x27c41efb, 0xb691b519, 0xf61eab6a, 0xee0a9c07, 0x5518ae5d,
+    0x4e0ac9b5, 0xd77d6547, 0xa4231ae1, 0x49b2a344, 0x85a6e61a, 0x2db285fe, 0x1cc13d7e, 0xe35a6507,
+    0x3a84c0d3, 0xf6d6a93e, 0xbfe41118, 0x62bb58a3, 0xa792bc75, 0xdfcd6ded, 0x4818321f, 0x8813ad9b,
+    0xaa297985, 0x83a493f7, 0xced58869, 0x4706fbaf, 0x5b1de7b5, 0xadb3e845, 0x04b9eb16, 0xa4849a5b,
+    0xcd6518b2, 0x4da73bc6, 0x88e70128, 0x211f98c7, 0x2b5266d0, 0x718f92c7, 0x32649f86, 0x6209dde8,
+    0xb525b331, 0xc4d0dc17, 0x799a7708, 0x5a934624, 0x122e1c42, 0xacd08e67, 0x40f2a5fe, 0xdb582769,
+    0xd36b62f0, 0x672c1f2d, 0xb9271d18, 0x28da961e, 0xb7d5fa92, 0x9eab3a75, 0x5e92bd19, 0x2f87e7e5,
+    0xb7280863, 0x9d05952c, 0x38a53bf3, 0x1d226e8f, 0xfe173c54, 0x09d58c32, 0xe7e0c0c3, 0xaa8cd566,
+    0xb19cb7bb, 0x2092f2da, 0xd92348a4, 0x13ec8791, 0x73fc6980, 0x08883b6b, 0x5b31ae03, 0x6c59d955,
+    0x540ca55d, 0xfbac8d73, 0x92bb3215, 0x3ced58f2, 0x24bac0de, 0xdaae4a3f, 0xe752dc09, 0x76d2e223,
+    0x5581ba2e, 0xf575aa29, 0xb2cdcbc0, 0xb9c87c95, 0x1c4f3786, 0xf394f40c, 0xb103b1a2, 0xf4cc6225,
+    0x72cf815e, 0x5a2a4db4, 0x0714213a, 0x18cbf632, 0x15d33ec4, 0x352536a0, 0xa830e914, 0x85059de1,
+    0x102d853f, 0x7df3f2c7, 0x24e2d0ea, 0x3ca026aa, 0x7704f7ed, 0x13eb5daa, 0x452e621d, 0x58ef6221,
+    0xa336c7f0, 0xff4a4b86, 0x8187c9b3, 0x656e3474, 0x498a51f0, 0x50f9a1ef, 0x9f2c16b4, 0x942c9c1e,
+    0xf1aed20c, 0x37539ddc, 0x4cdc82b2, 0x2d9febd6, 0x52c7243e, 0xd7083a39, 0x1582f7a4, 0xf492dc9f,
+    0x976ac7a0, 0x53a5f4d5, 0x7cfb7889, 0x955b45ae, 0x80ad96db, 0x2ba5c88d, 0x384a8cc2, 0xd3227b4e,
+    0xf18374ba, 0x70458b53, 0x8b99e362, 0x530e48b8, 0x94404d31, 0xe5866651, 0xdc6c43f6, 0x20325f02,
+    0x416ce622, 0xc8d19700, 0x4d3fb116, 0x40f46504, 0x5c420963, 0xadf16b03, 0x591ed7a3, 0x212f6bc1,
+    0xab7fb956, 0x87116999, 0x1e892b1c, 0xc80a81b1, 0x62373203, 0x34376f95, 0x08fc0973, 0x9cad3247,
+    0xbd2e3a84, 0xd614975e, 0x75a9a690, 0x8c8d6785, 0xb853ca76, 0x291763f7, 0xf5def0c6, 0xfbcaeb2c,
+    0xb7be8e09, 0xe8485265, 0xd45de181, 0x1539f577, 0xbca38960, 0xa9e09df0, 0xeee31a10, 0x603e0c6a,
+    0x591373d8, 0xdfcdc9e0, 0xf5e8bf53, 0xa42e73cf, 0xa665ae4d, 0x2cbb73b8, 0xddfa0f4e, 0x1e5f5e68,
+    0xad403573, 0xd38ec505, 0x0bf5a4f1, 0x4825ba7d, 0xc1d6bccc, 0xd791ce39, 0x3d9c0ff5, 0x7a8f95de,
+    0x54649e3e, 0x34c74c67, 0x1169c07f, 0xe48dc046, 0xebfcc4bb, 0xc3622974, 0x6a67597a, 0x0eec0711,
+    0x66288239, 0x975d8230, 0xef5b1316, 0x39602fac, 0x1ea75521, 0x0b350141, 0x90485730, 0x6c3dc7c1,
+    0xc5503652, 0x35c30719, 0x68c8e70f, 0x2a4ae797, 0xbac70ea1, 0x0554b1c3, 0x29cd84a6, 0x3d8ca885,
+    0xf0ad9929, 0xafc52920, 0xdc5e9c89, 0x4bc6e601, 0xc3bb5f7c, 0x9f56aefa, 0x2d55de19, 0x477ca480,
+    0x0c1efb3b, 0x4fe904e5, 0x57803a15, 0xa5f94ef9, 0x9dc3e9c6, 0x49d6f497, 0xa86aefc1, 0xd0301316,
+    0x1713e04a, 0xca60dedb, 0xbe28fadf, 0x53b2d72b, 0x37d7b056, 0x37a48965, 0xae05b673, 0xe2af5954,
+    0xba0f3b73, 0x6fafbffd, 0xa53ee827, 0x24638e27, 0x9e6e8bc0, 0x08a1baac, 0x282d241b, 0x4b751b3c,
+    0x2fc3d8bd, 0xad5711ee, 0x023b029f, 0x9580b168, 0x9bc77bda, 0x6f48e123, 0xef6f8716, 0xdfe95e26,
+    0x82269491, 0xd8d92ea5, 0x2ccd2bce, 0xeaf0b216, 0xb5265226, 0xe9e3f916, 0x94704e55, 0x214bb1a4,
+    0xdcec7bd9, 0x482fdc60, 0xf436d70e, 0x05e7835c, 0xf0ef065b, 0x30045a11, 0x242ec113, 0x974de839,
+    0x372b2cec, 0x18a8df49, 0xf6807c7f, 0x78e56f0d, 0xbb28db71, 0x96838a34, 0x5a14c34c, 0x3d15a7a4,
+    0x2bd5a76d, 0x161df988, 0x12deed4f, 0xde2ade2a, 0x49653165, 0x6cf0b272, 0x47231400, 0x84f6ca3e,
+    0x4070a1b2, 0x332d20bb, 0x11a818fc, 0x5ef9097f, 0x7b9894e7, 0x38643d42, 0xb221122c, 0x3216fcc9,
+    0x48eb5f80, 0x8bac93b0, 0xc64c19a1, 0x0fa2e5d7, 0xc4a97990, 0x8499d94f, 0x4fc49570, 0x35ec0f52,
+    0x344e0018, 0x15965108, 0x84f9c15f, 0x6f844431, 0xa63b884e, 0xb8918a09, 0xf0434bbf, 0x507c75b4,
+    0x08bae774, 0x6eb3ddcd, 0xf3814ff9, 0xe914fbd4, 0x4ba194cc, 0x515f2bbb, 0x0efd0c2d, 0x293878ee,
+    0x54268b7a, 0x729472d5, 0x698aedb3, 0x8b57a236, 0x710cc98f, 0x59daaec8, 0x79856b00, 0x680f83c8,
+    0xd46a9eaf, 0xba93545c, 0x5778c42f, 0x7b56c920, 0x8b649d64, 0xbe87bdee, 0x935f8570, 0xe1cd1953,
+    0x06e36ce3, 0xddd2d597, 0x9aacd5ff, 0x1d34d078, 0xf2379312, 0x027bc409, 0x6c60f8d5, 0x8234e017,
+    0x90ec600b, 0x81f7f393, 0xc0344908, 0x87bd4bd5, 0xf7d86832, 0x273665af, 0xc951a78a, 0xa7e643f9,
+    0x4a6ae98f, 0x8ccc05b9, 0x3632ea74, 0x08417356, 0x1ec229c0, 0x9e87b325, 0xe0c4daf4, 0x0be438de,
+    0x6e125c46, 0x5cdb1787, 0xac0a8f9e, 0x5b76ef95, 0xeb0a0440, 0x41d1715d, 0x325fe97f, 0x0e8d082f,
+    0xd933da75, 0x6ce8de92, 0x219e7c5e, 0x6c34058d, 0x9bcff7da, 0xcfbd4e53, 0xb8525477, 0xf12307a7,
+    0x788bd4fb, 0x9611e4ca, 0xcf9883cc, 0x0c1d8f93, 0x69067dd5, 0xd634542c, 0x2495e67f, 0xe01d7466,
+    0x725f60fe, 0xd3eed35a, 0x446b630c, 0x2d466afb, 0xc3c135ff, 0xc20615d8, 0xcd8936b0, 0xe705ec29,
+    0x6630ee28, 0x29874d1e, 0xe507d2da, 0x473fd43a, 0x978573e9, 0xa1970ddf, 0x29cf2939, 0x609df86f,
+    0x6b30dae1, 0x54bac6f2, 0x1c3a2efb, 0x61571f79, 0x9ca9839d, 0x18256413, 0x77cb0ebd, 0x9bc22ad2,
+    0x09771ba0, 0x2813a358, 0x438d7d94, 0x72592757, 0xef934d86, 0xd74cc9bc, 0xb608bafb, 0x31ea50fc,
+    0x5bdf1e07, 0xafddecd6, 0xc4b6fe6b, 0xbc4a7d11, 0x9381daf3, 0x84858f33, 0x11fcc682, 0x6b15e471,
+    0x8929248f, 0xf4eb8a33, 0x3ae7fd1e, 0x24c3db7d, 0xc1d318ba, 0x0d9e7a47, 0xe4181c58, 0x3adc2f0c,
+    0x71aa9003, 0x8f5eb57a, 0xb8446099, 0x4a2d61f0, 0x2b5e8105, 0xe1f6f984, 0xe4600bb7, 0x105ddb97,
+    0x1dc64efb, 0xdc522fbe, 0x8396f067, 0x625708da, 0xb631c665, 0x4bb70689, 0x293dd7e8, 0xaaa8683c,
+    0xa4e4ca6f, 0x50e2a26b, 0x8ec35818, 0x49f8eb90, 0x55e9a18d, 0x50067295, 0x70d4f606, 0xfd9bab01,
+    0xa07be2f1, 0xab9203b8, 0x34278a2e, 0x6be11b98, 0x807439d2, 0x821cfa27, 0x3cebe0fe, 0x26a57ed3,
+    0xa68242a7, 0xd30226f8, 0x286b416f, 0x882d0240, 0xe6f71148, 0x9e390225, 0x95ba85e3, 0xb59468b3,
+    0xaf970b9d, 0x6875712e, 0x47c15bed, 0x5a2107ea, 0xe8398094, 0xcdbb3c35, 0xf3e02fe1, 0x7f38208a,
+    0x2e3a29a2, 0x074b46c4, 0xa62dc806, 0x36c72026, 0x034f38cd, 0x8c5f5c09, 0xd36d0ddc, 0x865e5f43,
+    0x593beea3, 0xd05361e2, 0x2405b920, 0x476473a6, 0xcacdc55f, 0xee45a12a, 0x3d21cbc2, 0x14977a50,
+    0x9c1ca830, 0xf06eb167, 0xdcd31341, 0x145a3186, 0xde4af6e5, 0xe83b2f7c, 0x81c5697f, 0xa182d5dc,
+    0xf8e97e15, 0x5502daf7, 0x058cd8be, 0xbca00b01, 0xc5ee9789, 0x192ce9ae, 0xec7f1d77, 0xe64efbca,
+    0x15088f44, 0x81854eb9, 0x16076265, 0x8d8dead1, 0xad5aa7b9, 0xd780dcf9, 0x7f3e38ca, 0x8c60f9eb,
+    0x55487558, 0x1d32ea43, 0x9c88ed7c, 0xa5b06d00, 0x37076308, 0xf2876b28, 0x54851f7a, 0xa6a18a7a,
+    0x489fc7f1, 0xb0245094, 0x68812bd3, 0x32f12c33, 0x0ab85ba0, 0x1f649903, 0xb92d511d, 0x3dc7c169,
+    0x058f42ff, 0x8f63ca2f, 0xab3cd910, 0x713f96e8, 0xcb064b2f, 0x7816012b, 0xd08aa03f, 0xbcb84eb8,
+    0x78411bc6, 0xacb41b2a, 0x58d401a2, 0xd6299737, 0x5fdcead9, 0x19af6909, 0xb8012d16, 0x11dc2d73,
+    0x774ac402, 0x2f6fff8e, 0x05961441, 0x777de971, 0xd103d5a1, 0x91417bc4, 0x829825d6, 0xb4b1f4eb,
+    0x4dc6fe47, 0x80791305, 0xb8e0a94e, 0xc6410932, 0x7e86feb0, 0xcec35f9f, 0xf57277fa, 0x73576614,
+    0xf26882c9, 0x01196052, 0xba5b562e, 0xeac6ca07, 0xce7d7d59, 0xa7e84e62, 0x4470f206, 0xbdf48b6f,
+    0x93b30658, 0xb306ff9b, 0xa1680bc0, 0x631c3f8e, 0xe55959e5, 0xfdd05d88, 0x01a2a210, 0x5c290cec,
+    0xee472771, 0x6f25a2f2, 0xf902c695, 0x573e55eb, 0x935b0582, 0x26a450a9, 0xe749c972, 0x37347fce,
+    0xd0c3fb32, 0xdb46879a, 0x61f68486, 0xf4c86a3b, 0xdaec1507, 0xab46bd01, 0x052c2c2f, 0xa2b522ad,
+    0x70b6ccf9, 0x2e018d9f, 0xdcecf572, 0xc60a3035, 0xa0280717, 0x6ef63650, 0xaab60cc7, 0xff05a2fd,
+    0xbb4f0c2f, 0xf65ab7af, 0xdf8e58e7, 0x4d00412f, 0xcd2ecf9a, 0xc06d5b28, 0x8d99dd66, 0xc1a17db6,
+    0xf683a8e6, 0xbce1d0ae, 0x4875ac20, 0xd41a23a3, 0x8ed3836f, 0xf2b17846, 0x104c95e6, 0x3a168a5b,
+    0xe8f33029, 0x8cbd67a9, 0x9c960b8c, 0x56a25064, 0xefd0d5bf, 0x1bc7bd79, 0x3253ed10, 0x54bb37b3,
+    0xe0b987ff, 0xebe1bee7, 0x83486009, 0xf735a2cf, 0x21cf20ad, 0x7b99e5d9, 0xc60f19e0, 0x3b01624d,
+    0x52decc56, 0x7cff838f, 0xceb5f14e, 0xf14d541a, 0x353525ad, 0xdc9c77f5, 0xf9dc0e26, 0x89292a46,
+    0x44800f8d, 0x6c9e24f4, 0x67f46c9e, 0x952b22cf, 0xef3f2363, 0xc310de05, 0xbd7a49aa, 0x3851ed46,
+    0xc4b3f432, 0x0a2016ba, 0x3c1a0b76, 0x45541895, 0xdcbc0174, 0xc86ce850, 0xd9ebee09, 0xe733b547,
+    0xdb81cec5, 0x9876f4a9, 0x0b59ef46, 0x7125dada, 0x8f2d4ce6, 0x9305d016, 0x627484cf, 0x32ff83fe,
+    0x82b46238, 0x3249d57f, 0x5e732843, 0x6cb02362, 0x19a65623, 0xeb1e4b6e, 0x1fb7c824, 0xfae778ac,
+    0x00000000,
+    0x77547ce7, 0x19943f7a, 0x0b9e1674, 0x46dab202, 0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd,
+    0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000021359870359209100823\
+                         95021706169552114602704522356652769947041607822219725780640550022962086936576 */
+  { 0x00000000,
+    0x207a203b, 0x18e79100, 0x7177a25e, 0x83404653, 0x4751651c, 0x0a9fbc30, 0xe549af0f, 0x37db4f32,
+    0x80812302, 0x96f34899, 0xfd9cdf37, 0x5d3f1180, 0xd41f6cf2, 0xad8e6569, 0xc643dc23, 0x64e04c6f,
+    0x1142a904, 0x8d7cf519, 0xe1de5ca4, 0x40c3b078, 0x73112fa0, 0xc3d75197, 0x6ee1d1d6, 0x01a44f91,
+    0x01f87443, 0x6ab971ab, 0xc3526392, 0xdf027180, 0x122ffcab, 0x27a24d34, 0xfec5381e, 0xbde1116c,
+    0xf6060d3e, 0x0fc71f9f, 0x01f8191d, 0x0981167d, 0xd11e4f6a, 0xeb5a1187, 0x0f687fd2, 0xba6ffd04,
+    0x8da904ca, 0xd5945f1a, 0x3aa0d100, 0x88c76762, 0x932c0bab, 0xa2a354b5, 0x026a029b, 0x4641d7d6,
+    0x4d328ee9, 0x8a3b3c26, 0x1cf3de8b, 0x0147b009, 0xfae4fe41, 0x5d6a1834, 0x52aefe60, 0x2de2952d,
+    0x825dae79, 0xc531ad20, 0xe90399db, 0x16075337, 0x936bbf96, 0xdb31fa98, 0x964b925e, 0x48c23e84,
+    0x918330b2, 0x846a69e9, 0x33b69062, 0x3d21da89, 0xaf840a7b, 0x473c9b8d, 0x51ba3af6, 0x42d84616,
+    0x31390f8a, 0x0cf4e37e, 0x02d81ed5, 0x4e0578ce, 0xe39d2b6b, 0x16ad81b1, 0x730272c5, 0x09f685b1,
+    0xb22c0bb9, 0x0445817f, 0xaa1303e2, 0xa57b8be5, 0x5744c927, 0xa73cc702, 0xb54a9c20, 0xbe3fe7a7,
+    0xb9721444, 0xd10de47f, 0x919b505f, 0x2cc2246f, 0x7eec2660, 0x95486140, 0x33faffd7, 0xa373df51,
+    0x0febe5b9, 0x98aba084, 0x883a9913, 0x708cef25, 0xff10845a, 0xaa4cce84, 0x2e82ae5d, 0x21a3455f,
+    0xd07609cf, 0x2a307a1b, 0x9db779ac, 0x87d32a63, 0xbd1757c6, 0x6fcd29e6, 0x2d52dec0, 0x03df6635,
+    0x4e7abec0, 0x0f6105ba, 0x363e722a, 0x2d1be2a1, 0x167072b0, 0xf79ea301, 0xcb05d9aa, 0x330d6ab7,
+    0x8630830f, 0x7634f57f, 0x45770307, 0x01d16c39, 0x95369db6, 0x14858729, 0x01839e3d, 0x4f23356c,
+    0x1d0a22e2, 0x9d35739e, 0xc3fe87b8, 0x18212e2b, 0x436d1b7e, 0x53d27760, 0xe55d5ea4, 0x06f9ac7f,
+    0xc648a792, 0xc8d54a42, 0xdda5fa16, 0xeb37ff41, 0x99d9f770, 0x9cc6dde3, 0x99fae473, 0x2e888696,
+    0xd806756b, 0xcdaed05a, 0xe5377f98, 0x312346bc, 0x8324d31f, 0x9ed51a8b, 0x1e3fb216, 0x79172392,
+    0x1f3f9835, 0x61b175b4, 0xa2ef0347, 0x4303c350, 0xe652c5a2, 0x88deece2, 0x334e0e2d, 0xaf9f25c1,
+    0xfa8593e6, 0xd0c23963, 0x92e9dda5, 0x7324b2cf, 0x76339d17, 0x5a96838b, 0x4bb17919, 0xc31333aa,
+    0x99f5b109, 0x042772a6, 0x3f611a05, 0xf338133a, 0x29acb042, 0x051c8576, 0xd4f25ed9, 0x26830ade,
+    0x00bed6c6, 0xfe2c1171, 0x5a6146b2, 0x47ea2857, 0x8af62560, 0x9e9a80a1, 0x074cd532, 0x439c3fc7,
+    0xd84e4bbd, 0x750b1a1a, 0xf46ff34f, 0xc5ea79ae, 0xf5261a5c, 0x470cedd8, 0xaa2bf24d, 0xb8893f95,
+    0x1e0b6dbc, 0xad432c87, 0x37cc0cd6, 0xdbf1e4ee, 0xeb43d401, 0x067c39e8, 0xb440b949, 0xf4d63601,
+    0x0d73e17a, 0xd55c4a2f, 0xc60912d0, 0x828c7bf6, 0x7c578b23, 0xd73fff42, 0x5e193a50, 0x9b78df96,
+    0xdd97ef0f, 0x0e67e47d, 0xdc44a575, 0xde06e6e2, 0xfc488593, 0x4af7eea1, 0xe2c75503, 0x9c84a7bd,
+    0x9f3bbcb8, 0x6b506bce, 0xd13691e3, 0xb72737ba, 0xac5006a1, 0xe4a7dd40, 0x3b703fa6, 0x22be6e2f,
+    0x443e7d2e, 0xf709bac4, 0x68ead5c6, 0x93eae197, 0xcad15902, 0x3afa5fb6, 0x55cdeadd, 0x59d714b0,
+    0x3c6afa7e, 0x1a3c21bb, 0xbcb394f0, 0x8c4c1f64, 0x40c7f69f, 0x31774716, 0xa43cd11b, 0xb78c9467,
+    0x957a5dcb, 0x9fe0de6c, 0x1d56c9fc, 0x733afa06, 0x47f537a6, 0xb6e80ff9, 0xc74b0330, 0xd6458cf2,
+    0x3927dfb9, 0x2fa30542, 0x0ef5003b, 0x69f2c62b, 0x07de3d71, 0x8ee60a9f, 0x487cbb4d, 0xbc345cba,
+    0xb2c30e2e, 0xc3799d5b, 0x790412ad, 0x373c57dd, 0x44af2098, 0x66f72c2b, 0x90ea05f7, 0x0f8d1ce6,
+    0xda00553f, 0xed62738a, 0x2f3009a4, 0x69be039f, 0xbd3ec697, 0x801f3ea0, 0x58e27e2a, 0x33721b12,
+    0x77d26c9d, 0x2cdeafa6, 0xa9a0dfef, 0x8a97df0a, 0x1c109948, 0xde1edf60, 0xc994a4ea, 0x43145e34,
+    0xbefb3ef5, 0xb214c644, 0x33788a0a, 0xe18594e1, 0x6367599d, 0x8a6ae7c6, 0xc3b4c431, 0xa9d7d074,
+    0xb6b6ed3f, 0xafe0b72d, 0xa2e74ec1, 0xce960f00, 0xf198db23, 0x4bdbf279, 0xc1f29d42, 0x5d8a77fb,
+    0x3e49189b, 0x2631f494, 0xa5bc8c10, 0xefaac65e, 0x31a8c9ba, 0xe9e2faaf, 0x92663b77, 0x767e1052,
+    0x42a32d40, 0x8c9f8dd8, 0x5f1deeb9, 0x3884c90b, 0x11032ca3, 0x27d883d8, 0x453e9876, 0x32d5723d,
+    0x112228d8, 0x8b68453c, 0x28d74ca3, 0xe9e528e0, 0x06e682c1, 0x6e77b0bf, 0xf76e3e1f, 0x43ba9754,
+    0xa11e64c8, 0x5eabde9d, 0x6865c8e5, 0xd9ea3012, 0x92cf070a, 0x2cf85764, 0x56be957d, 0x577a19f9,
+    0x8e4622a2, 0x358caefe, 0x84fa2cbc, 0x9a38a736, 0x8f62b5e7, 0xc1b00a84, 0x4ece91e1, 0xf4fe8ed8,
+    0x2b97bdb3, 0x5fa64a1a, 0x195bd7e7, 0x2d668637, 0xcda6ce31, 0x9edb8cd4, 0x7ba9f776, 0x5a004196,
+    0x40bafffd, 0xc7e022c7, 0x8be805b6, 0xde5ce837, 0x1f5dd37d, 0xab99cde7, 0x39e25025, 0xe37dd6c5,
+    0xa44ba73e, 0xb8307860, 0x87a484f3, 0x9cb50848, 0xff4ae823, 0x8ba29b68, 0x16efda31, 0x34be2bbb,
+    0x396f0709, 0x8b51bd0a, 0x8f772bc7, 0x97182e2a, 0xe731f960, 0x9df2a67e, 0x4d3d123f, 0x2ce0b680,
+    0x42b7b615, 0x7b6bb469, 0xfa33d3cb, 0xdc221b87, 0x75b3a55c, 0xba572bdd, 0xa22bf5c6, 0x494f29e1,
+    0x1763f3c2, 0x1c7b9d87, 0xe4021c99, 0x059a1f0f, 0x47d1abb0, 0xd1aa05c7, 0xe23f715e, 0xb1564209,
+    0xabbc7b98, 0x90655500, 0x8c1f697f, 0x7bc1a172, 0xf460a199, 0xc8bb04a9, 0xaa1671b0, 0x9fb9d0fb,
+    0x9af5dd6d, 0xb9879800, 0x8fd73fae, 0x2bcac7ae, 0xd38d4b6f, 0x437fa690, 0x163b276b, 0xcdbdc5b9,
+    0xbfb7335d, 0xe82a193c, 0xb0bae1f9, 0xbe363bff, 0x78fcbcb2, 0xaa1ec8bd, 0x3c1f34a7, 0x7baaaeb0,
+    0x74d7ee75, 0x1d0aaf7f, 0x15889fdf, 0x0669895b, 0x7a47dd3c, 0x3de5ff79, 0x74176022, 0x278359af,
+    0x6ad234e7, 0x58f636c4, 0x0490e500, 0xac25231c, 0x82a84150, 0x1a22d28c, 0x04e8e4b4, 0xa445a689,
+    0xaf2137a0, 0x157e6551, 0x69c9ca84, 0xeee54ddf, 0x4b2d2505, 0x25702e0e, 0x691b5b9c, 0x4f0ad18d,
+    0x399b3b7f, 0xa31844c8, 0xc5624895, 0xb2d8360a, 0xfcbb7fec, 0xcbde90e7, 0xabf48e75, 0xe1965caf,
+    0x4a4d5ce7, 0x8c99949f, 0x84a2f154, 0x9bf455d2, 0x5f4353e0, 0x10a4db56, 0xf621d93c, 0x2f8d5a22,
+    0x8efa6b0b, 0x0d5c19ee, 0x7065be68, 0x00f1ecc2, 0x45c1f0ce, 0x1522f0d0, 0x91e3f543, 0xb0d2ea2d,
+    0xcf475279, 0xcc186f41, 0x6e89560c, 0x8275aca0, 0xa8615976, 0x46dc5123, 0x6c203655, 0xff40d14a,
+    0x44e8b2b3, 0x6eac3a7d, 0xd2f6d177, 0xcc4e4477, 0x8874c093, 0x6bc3a86e, 0x77582f4f, 0x51929882,
+    0xdb01833e, 0x13cc3739, 0xaf36e865, 0x8053ed02, 0x2b5f758f, 0x0dabba13, 0x63971f37, 0x305a817e,
+    0xc4564507, 0x56eb558f, 0xc39c7495, 0xa0c5b69c, 0x73ad4e0b, 0x6add9361, 0x87976ad4, 0xfa905951,
+    0x735b17fd, 0xcdeb1ced, 0x31100d73, 0x31fd06bd, 0x6e1180db, 0xa8db97ab, 0x7dad57e5, 0x63b4d9ff,
+    0x03d66a53, 0xad093850, 0xa754824a, 0x5d7eccfd, 0x2b9ccb3a, 0x7bc8e73a, 0x32bb3b45, 0x217ed52d,
+    0x914b164f, 0xc4713766, 0x757ddea4, 0xccefcc3c, 0xb567adae, 0x55f00844, 0x21fb5672, 0xf7acd0cb,
+    0x4f7de078, 0x55edcdda, 0x0482ba5c, 0xe6f473b1, 0x47602a20, 0x92d5288f, 0x2440a717, 0xf45a839b,
+    0x403aa6dd, 0xda5d3412, 0x88e38931, 0x951c74d0, 0x6840fbd3, 0x32d42724, 0x1b83e215, 0x06182cf5,
+    0x2ea676a0, 0xa4f83b92, 0x3468dd3d, 0x22c5960d, 0xf6fa7692, 0x0198549f, 0xd936753a, 0xb768b3be,
+    0x02923526, 0xac47aa47, 0xc1afa356, 0x88b208c1, 0x62b0a30e, 0xe09f756c, 0xaad5b992, 0xb6e0de40,
+    0x9ac281bb, 0x41f66dfb, 0x8623c985, 0x0f6c0a4b, 0x9883eb54, 0xa7f1d868, 0xd095a7ce, 0x7407534d,
+    0x85070b64, 0x57ba2b32, 0x1a1b8e46, 0xdee8acf9, 0x9756c91b, 0x1efbd2b1, 0xcd164654, 0xe732ebeb,
+    0x8ae7ff3e, 0xcf055087, 0xb5f1cc00, 0x1e591e72, 0x6bfc7b54, 0x7e400642, 0xfd726620, 0x25ce6129,
+    0xf2697d39, 0xfecbaa57, 0x57fcc39d, 0x13aa1aa1, 0x827a1736, 0x4caa495a, 0x3ca74f78, 0xb101b1d9,
+    0x54db885d, 0x1f1406ee, 0x5e49d44a, 0x1aaa6648, 0x47e5ed35, 0xcee83081, 0x13cb3d5f, 0x61e55d02,
+    0x97cfc223, 0xdd30ee09, 0x343ad8ca, 0x927b6cdb, 0xd84c3bb9, 0x6dbd5141, 0x6e0a0cac, 0x53bf8cd3,
+    0x9cc59bf8, 0xe3052190, 0x12069b5e, 0xe8d51619, 0xbe8ebf6e, 0x664db91d, 0xe19f277f, 0x6e4c870a,
+    0x14688c1f, 0xd04990e1, 0x77851e7d, 0x7112fdb6, 0x4715b1ce, 0xa8719365, 0x01fc04b1, 0x570551ff,
+    0xb601c355, 0xfd256fa7, 0x7db146e5, 0x908de546, 0x6170daac, 0x18777ce3, 0xa16bcad3, 0x4f96465d,
+    0xf67d3c46, 0x6c09aecd, 0x2b69e882, 0x242e6d47, 0x90b3c1a2, 0xbb384643, 0xdc83a0b9, 0x335182ef,
+    0x9c109071, 0x49592479, 0xecd46197, 0x05f67d28, 0x7c526dad, 0xcc0e727e, 0x6c1352cb, 0xdcf18ebb,
+    0x3575a0c7, 0xc07891e1, 0xb0c6e2b6, 0x9143c26e, 0x55d1013f, 0xe03475e4, 0xbf57330f, 0xc0315150,
+    0xf8614e24, 0xe73734c1, 0x20b0b0ba, 0x476b60b7, 0xdf44627c, 0x7a968d31, 0x4bcf9306, 0x00db1dda,
+    0x53d159a8, 0x363200a5, 0x20c5df32, 0xb6e5eeae, 0x41301c37, 0x9f2b9b52, 0xdd64579e, 0x822009f9,
+    0x691e49b7, 0x6e53821e, 0xc78625cb, 0xf59b66cf, 0xb25b7106, 0xb2d72543, 0x8c5bd2f2, 0x130146b8,
+    0xf4a496c1, 0x6e178e32, 0xc2da298d, 0xb0f27186, 0xaf2ec545, 0xfcdd941e, 0x7bd8148b, 0xcc39e2ac,
+    0x8a25d068, 0xc3519606, 0xe5185172, 0x61ba1332, 0xeb61824f, 0x4af23c4e, 0x23aec170, 0xf556d542,
+    0x70f0b98c, 0xc8c226e7, 0x32c55e39, 0x857560f3, 0x25980670, 0xf5f0e013, 0x5b64c572, 0x0cbc4fb4,
+    0x2c40bb0d, 0x5ff3b0da, 0xb7637058, 0x447d6b6f, 0x30899b76, 0x0ffb9631, 0x6df8a6cd, 0x8f79db63,
+    0x0a4e1610, 0x22bb9028, 0xa1d11918, 0xbf4d29a0, 0x96574986, 0x226a67f1, 0x9a329968, 0xd0a3444c,
+    0xa615da2d, 0xee8ce47c, 0xac1316ba, 0xafa2ea10, 0x77ce31c1, 0x2cb4eebe, 0x7428ed3a, 0x72358dcd,
+    0x7436c902, 0xa6d00649, 0x74d9112d, 0x7fab4a3a, 0x00556792, 0x0a12ed06, 0xbbe54457, 0xb3988e4c,
+    0x17325942, 0x6b5d5127, 0xfa152d52, 0x409e776c, 0x7edd5882, 0x42902e39, 0x586feb2c, 0xdb679fcf,
+    0xf4541b9f, 0xf442a2e8, 0x2e811daa, 0x4ff7a112, 0x7fb15696, 0xee8fb1ae, 0xd7b2a68b, 0x3808977a,
+    0xc5075cad, 0xc89bd266, 0x4cc436f4, 0x84490611, 0x6a3b0e2d, 0x2d813810, 0xdabae7e0, 0x634c98f9,
+    0xdf096371, 0x1da14931, 0xf339b5c7, 0xd77a3318, 0xb5966386, 0x369c5be1, 0xc0a8563d, 0x5f4adac2,
+    0x5d675be2, 0x6e136db6, 0xc50b88ce, 0x70b5cba2, 0xd9063955, 0x463fb73a, 0x513f17cc, 0x4266c2b0,
+    0xa2a5a806, 0x41397496, 0x6d72d6b5, 0x5df3a1b6, 0x6a9dc984, 0x0b3fa6bf, 0x26fbfd9a, 0x1d3e0c82,
+    0xc04ecff7, 0x1135ad0e, 0x460aba17, 0x65fdc2e1, 0x3a6f35b6, 0xb0121842, 0x38bd3969, 0x6c66a91a,
+    0x394b2515, 0x73ee602a, 0x1a1b1cfb, 0x5b507cc3, 0x0010fa99, 0xe352b6f8, 0xe6ff2b0f, 0xcae41b09,
+    0xfe54ab5b, 0x90be3161, 0x2f901e13, 0x3b11c197, 0xf838d523, 0x38e65706, 0x8003b0ea, 0xbfe8e9fe,
+    0x1ee76076, 0xdb836174, 0x837a0fd5, 0x4e8a7778, 0x2daae3ec, 0x1982155b, 0xb5e02716, 0xa20b1cca,
+    0xd138ba41, 0x76303775, 0xdaa9a334, 0xb786980e, 0xc6ce4465, 0xb15d4f40, 0x06ae1be1, 0x319dab74,
+    0xcb25dd1d, 0x6f9ed049, 0xdd17929b, 0x6fad1534, 0x162dca1e, 0x8bf68f36, 0x367d896d, 0x039314b4,
+    0xd9d1dd38, 0xb11a65c1, 0x6f459baa, 0x8e6bd1fa, 0xebac8574, 0x598fde13, 0x52b9caaa, 0xd299e1d1,
+    0xd76d2ce6, 0x0b2aa83e, 0x6d090fe4, 0x8c079cde, 0x267a2301, 0xa1c0cec2, 0xf283d512, 0x34be2edf,
+    0x6bef0fbf, 0x7e309c9f, 0x9c083ea1, 0x6012535f, 0x061f1405, 0x8e3245e0, 0x7ddb6de6, 0x2509fcb6,
+    0x63cfc413, 0x074e618a, 0x33f8cbd6, 0xd4cb04f1, 0x8e0be46d, 0xc6c903f6, 0xb53a1de2, 0x52d09206,
+    0xd3a73ab1, 0x75660ea2, 0x05923ce4, 0xd14ce137, 0xdf86d7b7, 0x35c7f76d, 0xfdf58df0, 0xd88c43db,
+    0xba63f0e0, 0xa4b06e97, 0x745eebb5, 0xa9add4d1, 0x5c029f7f, 0x8ed5e0fa, 0x074ca4b5, 0x31ed3e7f,
+    0x6cbf3df5, 0xe730ac26, 0xa926804d, 0x1a16aebc, 0x72b23fe7, 0x20beacfd, 0xb8a6d877, 0xe7edab70,
+    0xe4890531, 0x67732366, 0x52b14c3c, 0x48cc3523, 0x7d0c2646, 0x7b9ea42f, 0x49d2aaca, 0xefb69090,
+    0x15c9d547, 0x37932578, 0x471e38aa, 0xdfecf189, 0x2c9952bc, 0xa9d6e774, 0xe06d7de3, 0x21f12b02,
+    0x1644cab3, 0x526a4685, 0xf56e738f, 0x54dd518e, 0x8808e439, 0x6e7862ae, 0xa6fb3d24, 0x445fa1c1,
+    0xcd4f583a, 0x321f781a, 0xfd4256b1, 0x4ea3e00b, 0xa5d1efdc, 0x3e28cd9e, 0x09d92d1b, 0xa27d696b,
+    0xa97a03f0, 0xcc5c53a9, 0x90554470, 0x145e16bc, 0x49a3335e, 0x37d42aaa, 0x9fe4692c, 0x13ff900f,
+    0x76965efc, 0x467ea075, 0xe565d597, 0xa16bf6dd, 0x4f9b929f, 0xf64de0cc, 0x7257b8c6, 0x975078cc,
+    0x8484c8d1, 0x1a6688ee, 0xbf1d767f, 0xbad86b0b, 0x23c46ea8, 0x333cd1f9, 0xdc2b95d2, 0x92f54de2,
+    0xe9cc29b2, 0x485a26e6, 0x78aa327a, 0x788d3131, 0x354819b1, 0x3229efb0, 0xa76dadee, 0xb18fa891,
+    0x49549e33, 0xeed5c9a9, 0xbc7951ba, 0xb6559480, 0x99ddfc69, 0x85bb3e38, 0x8c325719, 0xed60506b,
+    0x6a2464a7, 0xbe1b9b47, 0xc33273a7, 0xeb5c5c93, 0x75a8d488, 0x2aae447b, 0xfd273066, 0xaa380ef3,
+    0x0a2a178d, 0x6b54d735, 0x37dbc479, 0x0438c68d, 0xc4489463, 0x5252dc5b, 0x891d6d01, 0x60690838,
+    0xbfda30b0, 0x07db00d4, 0x6109f4df, 0xdc533b69, 0x848d6fd8, 0xbc51c920, 0x16a34ddd, 0x19bf0c5c,
+    0xc4228f64, 0x3531d8a6, 0xcb75dbbb, 0xd5929560, 0x48203b37, 0xbd1e763e, 0x33211c6a, 0xbe3e195c,
+    0xf474569a, 0xb00f2441, 0x0dbb6cac, 0xf1560fb7, 0xa4463bcc, 0xa393adcc, 0xd1ae32f4, 0xaab64b87,
+    0x66e953cc, 0x9a4867f0, 0x063ae58b, 0xe1bd5b6b, 0x7b3d21ca, 0xfff19463, 0x30c59703, 0xf9c18f7d,
+    0xdadde009, 0xa214598b, 0x5a53af22, 0x190fb6aa, 0x5c0a4a73, 0x6f68b42d, 0x452997b8, 0x33d31902,
+    0x723997c8, 0x1d6d1a65, 0x64e2bfd8, 0xe7a013f5, 0x19b63a35, 0x09e6cc6f, 0x4b7992b6, 0xb3356941,
+    0x00000000,
+    0x3baa3e73, 0x0cca1fbd, 0x05cf0b3a, 0x236d5901, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe,
+    0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000010679935179604550411\
+                         97510853084776057301352261178326384973520803911109862890320275011481043468288 */
+  { 0x00000000,
+    0x17777e9f, 0x90728002, 0xd736d026, 0x69552364, 0xd69776be, 0x0f82c0b7, 0xc6d099d8, 0x39a6460b,
+    0x976ce2cd, 0x50da0657, 0x8d44f758, 0xe51ee07b, 0xdfcc885d, 0xa415c438, 0x0e8f5668, 0x3f563eea,
+    0xcb2493c5, 0x26dd8cde, 0xff70299f, 0x7366ec8a, 0xe5ddece8, 0x119552b7, 0x571fe3fe, 0xaa4a884a,
+    0x73ff5817, 0xa8bcdeb6, 0xfc98869c, 0x6429cb75, 0xcad0aad6, 0x4ca3b2f1, 0xf587f97c, 0x8926f2ea,
+    0x4846715f, 0x56aa993e, 0x0e2154a1, 0x4de42da1, 0x007b192e, 0x5e579ff3, 0xdd51cdd6, 0xbbebe32c,
+    0x4a613106, 0xc0d95ec1, 0x1fd7fac8, 0x85add801, 0x908ed282, 0x24d73a0e, 0x1e3b3d79, 0x003a47e6,
+    0x3cc4eb60, 0xc4853ff7, 0x3b27d1be, 0x9af09be6, 0xb5a53b51, 0xcb4074b8, 0x6b673602, 0x5ba29858,
+    0x6d205776, 0x7bd439a1, 0xf77450a1, 0x3589e49c, 0xaebb7e17, 0x707f8baf, 0xe5a0a741, 0x7d53051d,
+    0xf8da2104, 0xe1187cae, 0xca95f4cb, 0x670e9881, 0x508392a7, 0xd5a26b3d, 0xb790da9b, 0x7386770b,
+    0x48f43136, 0x4bd59274, 0x739f90cc, 0x337b2839, 0x9a9580bb, 0x0a69e61e, 0x6f627f8c, 0x242dcfb1,
+    0x3d68840f, 0x9759347e, 0x273dd6bb, 0x4c44a3f9, 0x69bbe550, 0x9f14b255, 0xc3aa8158, 0x8a2ee6c8,
+    0xbaaff0c8, 0x1162136e, 0x56d8088c, 0xd1a77c63, 0x0dfb3122, 0x5c06e69f, 0x69754f5d, 0x41c0cc48,
+    0x71540db6, 0x60453957, 0xf952d222, 0xb00cb1b0, 0xad195f97, 0x9f5f9301, 0xa2de9113, 0x5068469a,
+    0x48deacf9, 0xba825ac5, 0xd13801f6, 0x3694b9fc, 0xcd7bf0b3, 0xf0ba089e, 0x33e4af14, 0x2a9cd351,
+    0xc17b93ff, 0xe4905135, 0xdf32ef19, 0x5bf4917e, 0x8d0cfa61, 0x4f58dc8b, 0x53e6f6af, 0x531334c7,
+    0x593c2f33, 0x26392cbe, 0xf875e91a, 0x9dbe6a5d, 0x676d8bbf, 0x5aebda62, 0x800a01ef, 0xa735dba6,
+    0x0f4a4fb4, 0x9c61c4da, 0x05c8ff63, 0x82d8a47f, 0x0c2593b7, 0x301041bc, 0x9e0faa1e, 0x95235ef4,
+    0xd8885463, 0xf70b1148, 0xff2e4418, 0x8b751a57, 0x07444f64, 0xee5cf3e6, 0x40677ad7, 0xce76b646,
+    0x8004d327, 0x8ec03ffb, 0x921b2bed, 0x6d1573f4, 0xa43c0ea1, 0xcc00a34d, 0x9543cb93, 0xb65b0f53,
+    0x379fb1ec, 0x8b9ca6de, 0xa33d4b37, 0x1b7370f2, 0xf4c317c4, 0xa023be34, 0xcfbde9bf, 0x23286262,
+    0x7ff2a09f, 0xfb11f992, 0xfbdd769d, 0xe5d34c47, 0xc57084d4, 0xb426e8f9, 0xb39d7ae0, 0xe09c2cfd,
+    0x1644e463, 0x70c64dfd, 0xa23f7c5c, 0x5224ce7f, 0x7617f935, 0x1d591559, 0x41eefb1d, 0x391492be,
+    0x173a2deb, 0x3023cb21, 0x2140fcda, 0x86264739, 0x15efc4f9, 0xa74ae1e3, 0xb839e972, 0xed1908ab,
+    0x9f92e669, 0x47cab266, 0xbc5ada2d, 0x300351c9, 0x56d34657, 0x07c4de7a, 0x9ed7a74f, 0x4d7a55c2,
+    0x48077a3c, 0xec28a1da, 0xe74b6eda, 0x622e9d1e, 0xc0972f37, 0x515b1aa8, 0x61aa6d00, 0x8de7a53a,
+    0xcf0bd2ee, 0xdd546bd6, 0x945000af, 0x885fbb29, 0xf5db8528, 0x0a732c08, 0x72dd59a6, 0x7e2d0c3a,
+    0x314cd5f1, 0x75a227d6, 0x8f692da0, 0x19500066, 0x586b7bdb, 0xa0cb0d7b, 0x16672f0f, 0x7b15d536,
+    0x9c04eea6, 0x18e5d4c9, 0x34512b01, 0x2b6df37c, 0x3ebcba2e, 0xf697da74, 0x9160b438, 0x7191e0fe,
+    0xd8674071, 0xbd352125, 0x3a85c6d9, 0x2d264867, 0xad842312, 0xb8eebe6e, 0xf92eda18, 0xc492f326,
+    0xd240b83d, 0x9a7448b1, 0x09d36850, 0xe984aad5, 0xa361c769, 0xdcb78d58, 0x3d688a3e, 0xc27d4c62,
+    0x552893f6, 0x25b13622, 0xf9683a84, 0x45f17631, 0x98c16b05, 0x15fcd6d0, 0xcb257585, 0xe68d90b3,
+    0xa3881916, 0x4554330d, 0xf9c3664a, 0x65a50e47, 0x040275d5, 0x6df56af0, 0x9aa87ca6, 0xdefecf2f,
+    0x3dc2b9ca, 0xeb877a16, 0x7d3cfd3f, 0xb8187371, 0x319b6b16, 0x3535af78, 0x1ee8fda8, 0x899911eb,
+    0x8855c80e, 0x6e64adc2, 0x4de190a5, 0x64962956, 0xdf36c34b, 0xdbca487f, 0x4a2f802e, 0xd5b89aae,
+    0x6009c569, 0x2af8eb24, 0xfd1ff67f, 0xe3e34008, 0xbf301ef7, 0xcfaa4e6a, 0xf5ecbcba, 0xa2c97705,
+    0x9146cc78, 0x89583eb6, 0xdb42dfda, 0xec852a54, 0xf4c06edd, 0xcf116a0c, 0x2713d926, 0x2d1dcb8f,
+    0x4e512a1d, 0x6a1b5d53, 0xcd881f09, 0xdc4a61ec, 0xbc761a27, 0xa0b26ecb, 0xc9fa4e87, 0x51c2d3ee,
+    0x669ac3aa, 0x5e3ea2b8, 0xc1f06d68, 0x36206fbc, 0x75e79931, 0x579fb65a, 0x0c264581, 0x6e8aaa18,
+    0xad98194e, 0xa7051e9e, 0x6df70aff, 0x24f50abf, 0x99252861, 0xe765c175, 0x044d34f4, 0xc114986e,
+    0x8f3b82bb, 0xbb858277, 0xb0b9732f, 0x08230392, 0x794c8f60, 0x1e22833a, 0x1608b2ee, 0x6080c415,
+    0xafde4d42, 0xa1858178, 0x70ed9e98, 0xd5e85787, 0x8c6f8ec3, 0x69009477, 0x2b6afb85, 0x0a592b00,
+    0x1d547992, 0xc405cbe8, 0x8afa97a1, 0xaffd7060, 0x7d3c1f3c, 0x0d2168b9, 0x3fb8704d, 0x500fbad5,
+    0x80588910, 0x50227715, 0x7c69d8d8, 0xfdf8fac9, 0x1aa72fef, 0xf8c1a796, 0x0bb25c64, 0x58d338ac,
+    0x3ab6c181, 0xa5981cc7, 0x755b42b3, 0x4c9ebf8b, 0x815b6b92, 0x700aa7be, 0x020d126e, 0xe8fb165f,
+    0x44a86f70, 0xd042406a, 0x77c6e330, 0xe9590266, 0x75a8b8d7, 0x4eeaca1f, 0xad1a370a, 0x112264a2,
+    0xdf7e8eab, 0x4816597e, 0x7ef5f1b4, 0xaf16d2a2, 0xac4f508d, 0x15b65ab8, 0xacdba8a9, 0xca4b34b6,
+    0xe9e432e0, 0x1705f4b8, 0x6af83f95, 0x2d1afa10, 0x540345d1, 0x5d5fb232, 0x007f2f0e, 0xc4acd1b2,
+    0x0d366e91, 0xdad3d2c3, 0x741a929c, 0x4ca3184c, 0xf6ecdd35, 0x3a1679f0, 0x0633a7a0, 0x8c39f689,
+    0xe800d093, 0x68bf5b58, 0x4ef7d664, 0x17df8104, 0x7d0d053c, 0xacc17d59, 0x3698df6c, 0x887ec602,
+    0x2b689185, 0xe963d6f1, 0x3ad75214, 0x230114b3, 0x25fe1aec, 0x5634f8f2, 0x33b453e4, 0xd931c345,
+    0x11f4db0d, 0x76f15d86, 0x8a2f500d, 0xb1bc1f30, 0xbd939837, 0x1c047bb0, 0x11c7ae80, 0xaa0917ae,
+    0x26cc195d, 0xced04ec2, 0x53a170fe, 0xddedd776, 0x6c59f199, 0x82622803, 0xc2077ddf, 0x228c9fba,
+    0xdeadcfe0, 0xa822a449, 0x5c7853c0, 0xb2200d93, 0x6a91492f, 0x37b68bbf, 0xe4a421b8, 0x5b9159e6,
+    0x95d6d836, 0x08fde7db, 0xd90c8750, 0xccdcfc09, 0x7b6c234c, 0xd83cf671, 0x3dbac399, 0x6adba552,
+    0x3872c7b7, 0x8e068427, 0x9591d0fe, 0x3d6fb58a, 0x8771fb91, 0x93afb00e, 0xf9445218, 0xe73e4742,
+    0x6d40578d, 0xec3d03e0, 0x46ed7ab0, 0xf61acec3, 0x4ae01f4e, 0x08371245, 0x3bc0bd6c, 0xf46e777c,
+    0x2b4da995, 0xf254b292, 0xb3bd9a7a, 0x8d9445d7, 0xc38f2372, 0x60d003be, 0x0a78201c, 0xfaac74d6,
+    0x1918c748, 0x5556d3f3, 0x538bd433, 0xfdccab6d, 0xa1bb6873, 0xb064c0fb, 0x6b8bd8c6, 0xf46926d6,
+    0x58c76c6a, 0xd8024ac5, 0xbda37d33, 0x6eb57040, 0x1b0513d7, 0x993218f0, 0x04f3d491, 0xab268b63,
+    0xdef384b1, 0x1cf0783f, 0xbf38f332, 0xe3af71e3, 0x8cd9d815, 0x5cc70dc7, 0xefad4d3a, 0x26e85ad2,
+    0x5cc511dd, 0x5bc98654, 0x774e8b84, 0xd6608afd, 0xeefdfb82, 0x9e7a598e, 0xc3416055, 0xa026d63e,
+    0xa3c4edb6, 0xe05c00d7, 0x2b68b7cf, 0xa93e042b, 0x9f294d8d, 0xdea9b69e, 0xd8fb2b8b, 0x7208e57d,
+    0x47ecfd98, 0xb98b4865, 0x560a6de4, 0x1866ff6b, 0xdecc347f, 0xe0cfe75b, 0x5c64af23, 0xfa378a5d,
+    0x0ca1412c, 0x893a44e0, 0x1b888217, 0x47d1095a, 0x7ff1ad35, 0xda84e2b3, 0xc12e691b, 0x9f08305a,
+    0xb9f1758f, 0xb08f02e3, 0x9507aea1, 0x4e41715e, 0x27d4f5da, 0x411d0c0a, 0x2ecc87d5, 0x50f74f1b,
+    0x3a545746, 0x9649d7cf, 0x241a220b, 0x3f43e4d3, 0xc75b7110, 0x5db5a2c4, 0x9fa261cb, 0x97a10f72,
+    0xc1e1d900, 0xac89cfa2, 0xddefcc2b, 0xbcc0dc15, 0x339ccd9a, 0xcf775c17, 0x213a0225, 0x9c8be2ec,
+    0xbc64586f, 0x9967c003, 0xe59b6dcb, 0x8dbc51e2, 0x7f7fde8b, 0xcbef4d0d, 0xd2532048, 0xc454ec02,
+    0x001841c6, 0x426ec2c3, 0x27576b0c, 0xa20a7851, 0xd487b1bd, 0x8f231294, 0x6cc96ad6, 0x4218d897,
+    0x6e58c216, 0xa5fd0991, 0xa8719cf7, 0x273f4599, 0x03c91206, 0x99f21549, 0x9db250eb, 0xc0f29c52,
+    0x474a42ba, 0x9c17b1e0, 0x6cbc4acf, 0x1d1f15b7, 0xc07459d2, 0x102d359a, 0x4d56fdda, 0x084e2005,
+    0xaf84fac8, 0x9261b6f9, 0x9c3f232d, 0x29a24fe4, 0x6dadca6b, 0x3542501e, 0x2a432833, 0xb976037c,
+    0xde50c404, 0x32f797f4, 0xdb44bdc4, 0x22992a1a, 0x5c32e9bb, 0x3e002860, 0x7272ed5a, 0x4800b07c,
+    0x50a037b6, 0x4401c58a, 0x31d6c15f, 0xe9c472ba, 0xf0213f2a, 0xd4bc65d4, 0xc475a214, 0xb6f52396,
+    0x2ebfc614, 0xdeca126c, 0xa713d699, 0xa67b26ec, 0x1c736896, 0x161af066, 0x816b2384, 0x5b1a66e9,
+    0x08ee0fed, 0xe9741aca, 0x98c7cc89, 0xb9ae5eba, 0x401ae6bb, 0x624d7f63, 0xbf6cbb00, 0x2b7efde5,
+    0xbfc0fc98, 0x190b1a98, 0xe92961db, 0x5b7e9653, 0x9331c669, 0xbb6921c1, 0x262e0c20, 0xc043fd42,
+    0xa93614a1, 0x7603b887, 0x364b9040, 0xf892c650, 0x547843fc, 0x91044978, 0x49902325, 0x77d0e830,
+    0x8c5147c8, 0xed429d14, 0x2751ce3c, 0xe771b176, 0xd1f4571a, 0x1e660174, 0x9a4f5975, 0xfda849be,
+    0x39028c73, 0xe8d06373, 0x725f0abe, 0x1560e871, 0xaf33e8d8, 0x2f6715dc, 0x6a3d2b9b, 0xb95ecfb5,
+    0x98dcc0d4, 0xe3b27fcb, 0x2befb267, 0x16e8a944, 0x22f0a61e, 0x598ec01f, 0x593cfa96, 0x2c05cb0b,
+    0x3b55b54e, 0x9b6be006, 0x2137f327, 0xef49cf48, 0x6c2b0eb4, 0x227425e0, 0xb039f844, 0xa20fbf77,
+    0xb819f22c, 0x320bd57d, 0x760efb48, 0x5c7a5ee8, 0x568f236b, 0x1ae582ea, 0x39377405, 0xae3ae72d,
+    0xa69d5bf9, 0x2bc6d4d2, 0xb689a710, 0xe5b0bae0, 0x813474d9, 0xda53a742, 0xfa564c6f, 0xe0c75617,
+    0x5500f277, 0xbaf7855c, 0xcee360e0, 0xe653b541, 0x9b7d6c18, 0xcdc7d829, 0xd2d715c7, 0x4e55f4c4,
+    0x4612cdb6, 0x7dcdd447, 0xc3c6ea75, 0x04fdf7e5, 0x777a60de, 0x98586880, 0xc7cf8b4a, 0xe5d4ef9c,
+    0x2101ced8, 0x72e0f822, 0xbbe8e426, 0xdc7b6585, 0xd4c078e9, 0xdcf06511, 0x2582f5bb, 0xb8b0c6f7,
+    0x6c2e1c76, 0x75d2d2c1, 0x1c485100, 0xabf07078, 0xca528a03, 0x72a8c8bd, 0xf8f8fdcc, 0x38cc9ebb,
+    0x3f093dab, 0x7ff0f941, 0xf6e314d0, 0x8b55bf6e, 0x3ff32570, 0xfd89db3a, 0x8c16c6d6, 0x8d34c2a5,
+    0x7c39b059, 0x04a81d2f, 0xdb47a3d4, 0x01682f94, 0x0abace25, 0xb32b4b82, 0xf3b65a22, 0xd43cf326,
+    0x696ef8f3, 0x56da78ea, 0x45d32b39, 0xd072b47c, 0xe786fbe3, 0x0220f9c5, 0x36bfd571, 0x78964436,
+    0xb2264930, 0x67078bc6, 0xede04f0a, 0x691175cd, 0x48243f78, 0xa0be21ec, 0x0b84f070, 0x1a24425c,
+    0x343f05a1, 0x2a0c661b, 0x7ff39bd9, 0x9039fd36, 0x1a7ddbce, 0xb3b2c5a0, 0x9b4bbbce, 0x74b53497,
+    0x2fc9102d, 0xed757f72, 0x4cc01a57, 0x926071cb, 0xb89eeb5a, 0x43d95d63, 0xd114c8ee, 0xdf251d1d,
+    0xcfb2c20f, 0x85db44ee, 0xa6b3fcc0, 0x4cf18159, 0x201bc031, 0xb7522f0f, 0xf72473c2, 0xdbfa9a3c,
+    0x40d6b616, 0xd961d008, 0x3785379b, 0xbbcee2fb, 0x38d9afff, 0xf13d8231, 0xb630db6f, 0x50e12379,
+    0xc85edf71, 0x03141f95, 0xa98946d4, 0x96da878d, 0x5374f66a, 0x6e32cec0, 0xb8bceb0d, 0x29e51c61,
+    0x0b22df15, 0x8d48592d, 0x2bfa6c34, 0x857045a1, 0xc3979d10, 0x39d5d584, 0xfc3053d0, 0x688a03e0,
+    0x1b087883, 0x7c85057d, 0xaaed0d2f, 0x9b791dcb, 0x6ea3b4cf, 0x2f96dde6, 0xca7a39bc, 0xd2b6d97e,
+    0x1292b99c, 0x3b45c75f, 0xbfe11627, 0xd1240594, 0x9fa7b891, 0x7aff6af6, 0x680ce0fa, 0x061a9609,
+    0x761220bd, 0x40de4d00, 0x3d9d201c, 0x36618062, 0x6a494b24, 0xebe51f92, 0x45e71275, 0x168efe99,
+    0x822446e5, 0x24179453, 0x1c2e8f51, 0x342e84fe, 0x48b3b383, 0x738fe61f, 0x21dd7ba7, 0x6887e818,
+    0xf955f8f7, 0xefbcd58e, 0x19d3b197, 0xe78bcc1a, 0x15a4da7a, 0xec3733b6, 0x5412a81e, 0xfd253c40,
+    0x297d18a2, 0xbada2597, 0xe8282889, 0x6c03c510, 0x9021a836, 0x0a37a36f, 0x6eef2d0f, 0x7d89e090,
+    0xb8843780, 0xc48ac116, 0x5de57596, 0xd5c62e66, 0x96703fb9, 0x6117fa50, 0x35241642, 0x70e73fd9,
+    0x5afb2272, 0x4d5e615b, 0xf1e255c0, 0xc0f545c6, 0x6866d971, 0xe8c38536, 0xa8274290, 0x13491fce,
+    0x81aadab0, 0x0e81e7fc, 0x893388ef, 0x59908357, 0x5de43445, 0xe87ea049, 0x9b05214e, 0x9eecfbcb,
+    0x14073568, 0x29fbfd65, 0xdd01929c, 0xb9e56f97, 0x33608eea, 0xb14c81eb, 0x704b5f30, 0xcbfa408e,
+    0x01b6f891, 0xb2808c8a, 0xf8f10d1c, 0x0833a344, 0xc0debe49, 0xd76ad2a0, 0x69cc5d63, 0xc660e362,
+    0x03e6135c, 0x79c9745d, 0xec92573b, 0x47fa0df5, 0x9882eb8d, 0xabfa811f, 0x7b0a5722, 0xa125b181,
+    0x3fc329ec, 0xc08c59f0, 0x1d19ef05, 0xf43a39f8, 0x9b3e288f, 0x34535d35, 0x7ccdc54e, 0x8d4b9684,
+    0x9962bcc2, 0x863db5ca, 0x3988a7b3, 0x13a40f8f, 0xcefecdd8, 0x41b44f8f, 0x4f7767e1, 0x20dafe35,
+    0xbc2477ca, 0x0f15f805, 0xaf625be8, 0x11888fe4, 0x5ef2fb4b, 0x73778a01, 0x15e94760, 0xb5dce04e,
+    0x0ceab526, 0x974bccf5, 0x78c16ad3, 0x9a9688b3, 0xb28e5b80, 0xdb4d6500, 0x06029197, 0xa6968280,
+    0x96b42681, 0x023d1ea8, 0x1125e663, 0x00292647, 0xb3ba337b, 0x5dbd988c, 0xa914d7f1, 0x489311c4,
+    0x6184b9a5, 0xdceadea5, 0x19e5a703, 0x42c52430, 0x10ae600a, 0x7d936b6a, 0xab975b90, 0x167b6cc9,
+    0xe55caa8f, 0xd540bb9e, 0xfe455152, 0x24b7e5e5, 0xf1609b38, 0xde4b4aa9, 0x07593ef5, 0x4d469f5c,
+    0x8025bf5a, 0xe336b08b, 0x23bdf35f, 0xcf957279, 0xe38d14f1, 0xa596c0ef, 0x76be3f78, 0xf2b8fb37,
+    0xa3cf0395, 0xa756d919, 0x4aa8be8e, 0x2d097492, 0x706b815b, 0xac73f52a, 0xa3af4147, 0x58b78c56,
+    0xafc22160, 0x9fd584f0, 0x6540ffdc, 0xc716be4d, 0x69f55a30, 0x84371f15, 0x97882a83, 0x63071a50,
+    0x8b5f9614, 0x3b4a035e, 0x552f9f74, 0x0d6ccb6b, 0xd72afaf1, 0x48158b5e, 0xe1551998, 0x7d990c44,
+    0xd305608b, 0x872a4b20, 0x0d6aca72, 0x93ca0246, 0x7f2e899d, 0x3e6a98c2, 0x5b90c432, 0x8dc8cfa7,
+    0x23a7d79d, 0x13a29621, 0xc81f61a4, 0xc5bf31a9, 0x4374c3a1, 0xa3635c99, 0xf58d1a1f, 0x8f12adfd,
+    0x0a5efc51, 0xcf0512db, 0xe3809f47, 0xc71d90bb, 0xa1a228cd, 0xe6da343f, 0x0f33a8cb, 0x749ac07f,
+    0xb857b50e, 0x8ad2c887, 0x39a7595b, 0x78cdac70, 0x6c183a6d, 0xe965a9ef, 0x7028f994, 0xc2e3f1ec,
+    0xae7ab4a1, 0x0b7b76b9, 0xc01dd1cb, 0x6c972211, 0x786a3b48, 0xf0b8c37d, 0xd902b536, 0x97748e09,
+    0x00000000,
+    0x9dd51f39, 0x06650fde, 0x82e7859d, 0x91b6ac80, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff,
+    0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000005339967589802275205\
+                         98755426542388028650676130589163192486760401955554931445160137505740521734144 */
+  { 0x00000000,
+    0x07b6a60b, 0x9661c98a, 0x14a998cd, 0xfd18eb0a, 0x5a2f587c, 0xa3e4b56f, 0x5b87c4e1, 0x3c1ee7a7,
+    0x6ebf4851, 0xe24996ec, 0x678a2dc8, 0xed833eb9, 0x4770edf1, 0x7ac7efea, 0x880df590, 0xef191942,
+    0x960cb49f, 0x327f064f, 0x44de10a4, 0x6e437472, 0x7116f556, 0x57cc39e3, 0xc5f5706f, 0x03a03c59,
+    0xa8831621, 0x1865c89f, 0x5891be4e, 0xc2fc3417, 0x0df1eebe, 0x87ba035f, 0x163ce647, 0xbc58032b,
+    0x0c6b7c2a, 0xf386c27b, 0xcf70d1d6, 0x67df9af5, 0x63b080b6, 0x0344dee9, 0x3f9081d7, 0x0df7304b,
+    0x33766fa7, 0x479956ee, 0xd2c8b6be, 0x2736b716, 0x39ec0950, 0x04dd8fdd, 0x7b023646, 0x90581bea,
+    0x35058eff, 0x5ba72eae, 0x89286398, 0x7f0f85ee, 0xa8b1df93, 0x09b52470, 0xc8aaf340, 0x30711d94,
+    0x74a90b1f, 0x8daab0e8, 0xd9390f03, 0xe4197972, 0x5b2a7ae0, 0xaa3e050f, 0x568af242, 0x94c7167f,
+    0xf56fa1fb, 0x52b9f109, 0xdcc62605, 0x8f1b5ec6, 0x39418625, 0x0e0a0c29, 0x2cc802b7, 0xb8b267b6,
+    0xd65d8600, 0x3a5b8aa6, 0xa30f999f, 0xd63ba0d5, 0x85616cde, 0x3bbbfa53, 0xaa4c0006, 0x728cae72,
+    0xe95068e9, 0x1f4e3866, 0x4880d58c, 0x43448443, 0x4de0b25a, 0x1544c895, 0xaf78880c, 0xe5f4c8b0,
+    0x9389393c, 0xd3850b53, 0x27a65853, 0x9ae34ec2, 0x75dd9414, 0x7137375c, 0x268449f4, 0x1920064b,
+    0xecbe49ba, 0x7b143765, 0xa16f99b0, 0x9ec60cb6, 0x54aeb480, 0x9eae7b47, 0x4bde523a, 0x4539f45b,
+    0x649c6071, 0xc7dd564a, 0xb51ebefe, 0x6ee9fa6d, 0xd8759bff, 0xfa4d2799, 0x727757f8, 0x51ffdc37,
+    0x33327315, 0xaf92bb9a, 0xc01b55b5, 0x032168ef, 0x639db5f3, 0x273647a4, 0xe6537e66, 0x5bba889b,
+    0xcd6799fe, 0x75e1589d, 0xeba21f6e, 0xc641df47, 0xa452a2e1, 0xb6b280d9, 0x13f0c121, 0x948027c8,
+    0xd5f54f09, 0xb8eee1af, 0xc33d8586, 0xee2d7a77, 0x46cc11cd, 0x4af9db4e, 0xc0f9dd29, 0x46dc0ef8,
+    0xc4019df9, 0x97d8fc49, 0xbc97ed12, 0x90c4fd6c, 0x5d4525fe, 0x60c4b289, 0x2940d81d, 0xede8bb73,
+    0x9e8ee2f8, 0x3c58e587, 0xe064bc32, 0x0d035e92, 0x69a21959, 0xae9bff23, 0x39854bd1, 0x3d0660ce,
+    0x05b05bae, 0xf78ff0a0, 0x42dbe817, 0x7b2a7ad8, 0x90c07e4f, 0x783df3eb, 0x903d8f08, 0x41ac1874,
+    0x56827e9b, 0xe73242c3, 0xfafb366e, 0x16940d74, 0x2c8e1a04, 0xc0d97b6d, 0xc7bf4fb7, 0x718ea98d,
+    0x0c728ba1, 0x780b1fe8, 0x1056eb2d, 0x0eb9f48c, 0xf1ebcf25, 0x14198dc9, 0xb8a20762, 0x6901c238,
+    0x6f86b471, 0x13f6d0d1, 0x77a4f272, 0xece467c4, 0xa8f08dc2, 0xd8fbab6f, 0x7a1f363a, 0xfb27caa4,
+    0x246c3e99, 0x8f2e4b53, 0x992d4e15, 0xcfd26daa, 0x652d5c57, 0x3ec0abda, 0x36232b25, 0xab129a3a,
+    0xc3dd9c17, 0x5375b890, 0xca9baab7, 0x9090a9ed, 0x0c27f78c, 0xaaa971bb, 0x4b1474fc, 0xf44809dc,
+    0xfa4db3c7, 0xa00bdf99, 0x2bfdad08, 0xc8654c5d, 0x3eba7cff, 0x08b92c24, 0xb9aef3f6, 0xcb0c68cd,
+    0x2b47f414, 0x0367d0af, 0x0bba6a37, 0x8fcc7449, 0x58942d8f, 0xc62e2ece, 0x41fdaeb4, 0x4b4907bb,
+    0x3aac5227, 0xf90c3e84, 0x48a31977, 0xac29624a, 0x77ff7626, 0x1043d6a7, 0x1236782b, 0x9e660707,
+    0xd978f0db, 0x1b749714, 0xa3ff6e33, 0x9d668cfc, 0x39cb4221, 0x8ee14013, 0xf89aaf02, 0xfa188de3,
+    0xeee90772, 0x445d7da8, 0x2ef8002e, 0xc471269d, 0xbb1a3910, 0x95071b50, 0xa06d283c, 0xdc61582b,
+    0xb1f6c235, 0x2656e64d, 0xaea3cc03, 0x0fbd7e78, 0x81e0ff8f, 0x43034f9e, 0x46fac42b, 0x3beb8c2b,
+    0x4a424ad1, 0xe3886646, 0x938e0fb3, 0xf946a565, 0xd733ebd7, 0x395917eb, 0x6706e1e3, 0x51938ef3,
+    0x6c3000ad, 0x9f7393e1, 0x95108145, 0x769df7b9, 0xcf920856, 0x95ac3d77, 0x4455d8e8, 0x4dbc09d6,
+    0xdf7d1f48, 0xc955b779, 0xe008e658, 0x99eb211e, 0x605a3967, 0x7287abb2, 0x0cb8de0a, 0x51988e27,
+    0x0499983f, 0x16c9c726, 0x2ceb8f1e, 0xd0cfced9, 0xfd6a0794, 0xe07e1ae2, 0x9c051b1f, 0x686c7b74,
+    0xbf5b8eb5, 0x3a9e3576, 0xed1b9aa1, 0x2f0596a6, 0xb4d009c5, 0xae583da5, 0x25957e8e, 0xa7dd37f1,
+    0xaedfe5e0, 0xb40e70e1, 0x4b90442f, 0x3fb03379, 0xad3f0b89, 0x7d15f12a, 0x294bc4b6, 0x80ac0c2b,
+    0x639b4350, 0x42aadd22, 0x481be3c9, 0x9c0dad1f, 0x17f7f9aa, 0x229c3955, 0x77677f99, 0x83407163,
+    0x070425e4, 0x1506ed6b, 0x850fb19a, 0xbfd05865, 0x6ecf7317, 0xa6ffb249, 0x95dc72a0, 0x08319fda,
+    0x5cd918ea, 0x09b7d1a4, 0x4587def0, 0x66af3e7e, 0x35d1956d, 0x29bc8a9e, 0x10ebe625, 0xe3378cac,
+    0x8036c2c9, 0xd7e40bd9, 0x655c2177, 0x68f89a9e, 0xf4624c81, 0x8de84094, 0xb7c13706, 0xc3f1d988,
+    0x64b396f8, 0xe1e610fc, 0x8cd84366, 0x3e5d0ae5, 0xd233e138, 0x69482cae, 0xf7afa4b2, 0xe9d1e2c9,
+    0x2ddef996, 0x829f1d28, 0xc9597e26, 0x8279d428, 0x09770be3, 0x8702f9dd, 0xd613c472, 0xd160d7cd,
+    0x781f4ee5, 0x064aa230, 0xb2bc7847, 0xd25f27ef, 0x917b704a, 0x1f337e7b, 0x50df8e0a, 0x0ddbd10a,
+    0xc3291098, 0x32567baf, 0xd5a1f511, 0x449cf99a, 0x243da84b, 0xba424e20, 0x7f854769, 0xefd0e62e,
+    0x6f2c93e2, 0xf3bb5b27, 0x9d125ba5, 0x67c1bcd3, 0x75aa6917, 0x9b7b4de2, 0xc2d41c82, 0xb4d6744e,
+    0xf3c99fbd, 0x950c4dfb, 0x2d671760, 0x44e43a1c, 0x02f87219, 0xb746f521, 0x3b1ac0a8, 0xdea72c6d,
+    0x81df2315, 0xfd018a65, 0x9cef49dc, 0x42dece97, 0xceb876c2, 0x708d5919, 0x8c8f1236, 0x63bbba64,
+    0x33ecd457, 0x2249a30e, 0x87e08057, 0x154bb9b3, 0xa161b62e, 0x69c02bed, 0x497dba5f, 0x44641f52,
+    0x1fd06f7e, 0xa1966f1e, 0xa09ca96c, 0xe84d80cf, 0x6a10a76b, 0xa82b7671, 0xcb2469d3, 0x01cf4cfc,
+    0x7674d275, 0x9c2dcd50, 0xa955cbfc, 0x3c8c9ba2, 0x97bb27e7, 0xadd7d5f7, 0x357be796, 0xda171932,
+    0x04ce5309, 0x602a2c02, 0x4a12b0e1, 0xfb16cd49, 0xbb4f2501, 0x584d0d08, 0xe0456f8c, 0xfd2c9210,
+    0x154debb9, 0x0fd05662, 0x42495381, 0x669f5166, 0x18c4b681, 0xc09dd760, 0xa0a827e8, 0x8788fd7f,
+    0x4f084971, 0xf0da1c9b, 0x6056ec8f, 0x25154b9e, 0x8868737d, 0x79f9c46a, 0x37c7020b, 0x0971143d,
+    0x48cd7f84, 0xf2ab42b9, 0xa2419c03, 0xab192f45, 0x7b49c97a, 0xef097e00, 0xdc5926ae, 0x68d2449a,
+    0x84902265, 0x4e6f5ce9, 0xc691c9de, 0x9e4754f1, 0xfb722b05, 0x64c5b1fe, 0x591cfd68, 0x7a48202f,
+    0x2f9131b7, 0x6fef198e, 0x36c5e907, 0xebf1f3e6, 0x7d6332df, 0x619e3bd9, 0xcc9f1481, 0x58d9f099,
+    0xb3a49dbd, 0xf0599111, 0xfd8fee22, 0x0540a992, 0x2d656052, 0xc2c226a4, 0xa9ccf798, 0xa32a6b65,
+    0xf93dd925, 0xc962bcaf, 0x0131c1fc, 0x73eca1b4, 0x102c9d30, 0xf7f6ebf8, 0x74504743, 0xb2cde9c2,
+    0x7ee5ccbf, 0xa651f380, 0xf28dd649, 0xb64af8fe, 0xec7a2695, 0xda4a5e43, 0x7dd2ce4b, 0x9542e1ae,
+    0xb58d6df8, 0x382ca1cf, 0xf87a0316, 0x39f2a634, 0xa208b6ce, 0xa2a8bef3, 0xb77849b9, 0x7ac92587,
+    0xfc444ca9, 0x1b7cdc89, 0xe2068270, 0xc22b1fb4, 0x83cdc6bb, 0xa66cecd5, 0xb7076058, 0x55d77c75,
+    0xb006eab4, 0xe754d5f8, 0x42d87729, 0x6d17583a, 0x31106b08, 0xd170b38e, 0xcdfe4234, 0x99fae76b,
+    0xedef6b07, 0x89699542, 0xbf8c7442, 0x44403e2c, 0xab1648af, 0x904ea38b, 0xd417d9cf, 0x34de6b2d,
+    0xd1faaa20, 0x18beef05, 0x2a205ddc, 0xa09949e4, 0x2fc2f0dd, 0x397c5cbf, 0xf744223a, 0xec2986a0,
+    0xb126197f, 0x53c99784, 0x446d41a4, 0x352b2ab1, 0x1d062f89, 0x48d703c2, 0x030b96eb, 0x5850c991,
+    0x1761bac7, 0x238b2cfc, 0x6ec43a07, 0xee43d021, 0xa1f69e95, 0xdbbcb229, 0x4a957b05, 0x99c677ee,
+    0x73a78751, 0xd31aa572, 0x43f07aa8, 0x514764e7, 0xeb29141a, 0x3d975c43, 0x1ecb14d2, 0x0282d37e,
+    0xc47115a7, 0x0fe2d96a, 0xaf647c65, 0x72cc578c, 0x73a5cc8a, 0x2609a1cf, 0xe86c1c4a, 0x44adefc0,
+    0xea0cbf50, 0x5cbea62d, 0x207d39f1, 0x745023a4, 0xb7a8c292, 0x32b8ff04, 0x5a4b005a, 0xebce3b42,
+    0x2472b11d, 0x4bb05d00, 0x8fcf3669, 0xf5c0ec7d, 0x0f69a554, 0x159a72fa, 0xd6d6a99c, 0x214bd470,
+    0xeb89e08d, 0x57fbe948, 0x5f69647b, 0x89bb06dd, 0x2b902b0d, 0x54b071b2, 0xa7c45aa0, 0x7726fee8,
+    0x7c05d84a, 0x33b8b7d4, 0xea48b067, 0xf1876933, 0x3073534f, 0x8c7dfc66, 0x9ec71a76, 0x12a658fb,
+    0xf88b4b40, 0x8f6d916a, 0x30562e2c, 0x4da5ca5d, 0x61498987, 0x2d9cbfca, 0x629874a7, 0xdf44ff8c,
+    0x760e92d2, 0xbbf37c1f, 0xd4555ac7, 0xa2960cc2, 0x3678d61a, 0xf74192c9, 0xbf0c660b, 0xc8d66cfa,
+    0xf9c41b31, 0x0e77b11a, 0xbc396afc, 0xf7ef95ba, 0x39fb7d54, 0x8ae1c9c3, 0x7e729eea, 0xd99d240c,
+    0xf8fd6880, 0xd45cb0c0, 0xb219191a, 0x09936b0d, 0xe3aed4e0, 0x25984724, 0x2b96b0d5, 0x6529cf8d,
+    0x6a952547, 0x93ec9ce0, 0xafc49db1, 0x0671710b, 0xcce91bd6, 0x0875d083, 0xf26d53e6, 0xd7333623,
+    0xb1792e46, 0x902c2465, 0x4795b07b, 0x9d6dc500, 0xad03e4b5, 0x400e5b09, 0x41c923ba, 0xb2a80185,
+    0x240c9d8e, 0x5ec44dda, 0x78ef98b3, 0x0cd454bd, 0x23b135e6, 0x53e83723, 0x2552c101, 0x1c159c27,
+    0x03944644, 0xe75379a5, 0x4b722dda, 0x6253c89e, 0xaaaaa640, 0x25b6ef4f, 0xc06878a7, 0x315319d7,
+    0x60e2fa2e, 0x387d327c, 0x05851c3c, 0xc32237c7, 0x4929662a, 0xf3b73dcf, 0x9e6d0e3f, 0xbe1e9f88,
+    0x0148201c, 0x79c88df5, 0x740d9d24, 0x081bf6da, 0x195d0efe, 0x65e2bf23, 0x7492a0c9, 0x83c20e7d,
+    0xd645fb3f, 0x96cc0069, 0xf6a44f90, 0xd5116325, 0x9c961386, 0x4e297001, 0x9cdbf8e2, 0x6dd2bb32,
+    0xa808252a, 0xd62aee8c, 0x0ec1496d, 0xf52f95da, 0x5b766430, 0x7467c135, 0xd46201be, 0x742c7ff9,
+    0xa198a604, 0xb74eba61, 0xdc54ede7, 0xd5dbedd6, 0x27d333a1, 0x18f6efd6, 0x57ae8916, 0x7fa5bcb3,
+    0xa31f37e3, 0xcbca48c9, 0x32e1f347, 0x04496626, 0xe662687f, 0x28e824ec, 0x5bbd8608, 0x14b73446,
+    0x7803aee0, 0x68fff612, 0x33f937ac, 0x3ef20e16, 0x91b7804c, 0x19f0bbe6, 0xa7fd2106, 0x8f050d41,
+    0xd1719233, 0x4465067b, 0xf8cf4507, 0xb39ff8b8, 0x54d42da3, 0xf3ef0304, 0x48c6ab89, 0xa3b51da0,
+    0xbcf89d02, 0xe6dfd557, 0xccbd0de7, 0x51eb5aa4, 0x1852c0d2, 0x9c23533a, 0x3cd2daa0, 0x63edf722,
+    0x5642205b, 0xd27fd567, 0x57873114, 0x27e519eb, 0x2dc1fce5, 0x0aa492c3, 0xd91d9067, 0x743b875b,
+    0x960114b9, 0xb579c0ff, 0xc45e1706, 0xa427c0f3, 0xc99b47c1, 0x7e07c5d9, 0x30c308b0, 0x36e97811,
+    0x9534db0d, 0xa9acb572, 0x49a4e21f, 0x7d0a6230, 0x8609a5bb, 0x790634c3, 0xf29296f8, 0xe5319790,
+    0x3e012e28, 0xfec34b2f, 0x8932b7d7, 0x91930de9, 0x3b3250bf, 0x99f006e8, 0xa1c8a2e2, 0x83918e2f,
+    0xf6ff05b3, 0x3556c832, 0xf87cebca, 0xf95b3d1b, 0x53b2b564, 0xddf01265, 0xdba7ae5a, 0x49c509cc,
+    0x2994bbc7, 0x661e7b23, 0xa1027b8b, 0xf52221de, 0x435baf21, 0x7c75a866, 0xc69ece07, 0xdbdf025d,
+    0x7559af7e, 0x1379fcc3, 0x08fa785c, 0x732e4107, 0x5dffa7f9, 0x31e57c19, 0x40121b47, 0x6f4e82d2,
+    0x57632e84, 0xc8ddea07, 0x98f87648, 0x238c5e78, 0xa8f8d436, 0x11fb9cb9, 0x10f25224, 0xd397d6c5,
+    0xe5b3deff, 0x61457a7a, 0xe9eb883b, 0x5fc8c6fe, 0x1473dbeb, 0x05f8cfc6, 0xc85bcdb9, 0x34fb532a,
+    0x08e6a174, 0x4812ce6e, 0x7201dd0e, 0x1c958476, 0x57a46833, 0x9ef1c058, 0x733410fe, 0x043bd013,
+    0xce241a12, 0x8152cc98, 0xb7a1a44c, 0x9f7b4f46, 0x4b0178f5, 0xdc68406d, 0xc305e27f, 0x128824fd,
+    0x7943b051, 0xd3f7136a, 0xb86a3add, 0xab83765e, 0x4d546965, 0x6dd35390, 0x94b5f579, 0x9d01daf4,
+    0x6542ad1f, 0xd3fd945d, 0xfb48934f, 0x719bb9fe, 0x35608f34, 0xb7547fc6, 0xd7c61a96, 0x83b18d58,
+    0xa546ac5d, 0x37c59a91, 0x70ed80cc, 0x4184356c, 0x5a99a4db, 0x002edd25, 0xdedd475c, 0x52e5feac,
+    0xc1b1e81c, 0x6432bc3b, 0x918439be, 0x254e9394, 0x44b6ede8, 0x667dd39a, 0x98281856, 0xae9b0d5b,
+    0x61ad4b66, 0xf6c7c0a2, 0xd820b010, 0x14e5237b, 0x1819006f, 0x1dc185d2, 0xc93f19dc, 0xc1c47070,
+    0xed707b7b, 0x06edd873, 0xbfa2cf66, 0xcbdb15f5, 0x323b5947, 0x60e7403f, 0xf4ec9357, 0x9de3fa5f,
+    0x404cdc68, 0xcd7a83f2, 0xc09d3787, 0xa7954f35, 0xeac7174c, 0xdf75be85, 0x342bcf41, 0xfadb24b4,
+    0xd0cc0d24, 0x91624a06, 0xfc881430, 0x237724bb, 0x48a426f9, 0x5e8022be, 0x53f32a3f, 0xbc3d1e99,
+    0x3228ced9, 0x8f9b3c76, 0x2498ca0b, 0x615a87d0, 0x355fd21c, 0x6a9781b1, 0x6215792a, 0x953030fc,
+    0x98ea64e6, 0xca497249, 0xcf3c1c00, 0xab69a51f, 0xba7ac735, 0x014e1051, 0x877aea44, 0x95d0d6f2,
+    0x4f8be846, 0xb0ff7438, 0x70e64f72, 0x0e43a624, 0x98493e66, 0x8936fc79, 0xa0a554d0, 0x43a5c03f,
+    0xa7aaa443, 0xe3013eb4, 0x11a2e66e, 0x7d9ef6e6, 0xba2a6646, 0x64829582, 0xc2f311a8, 0xa383a6eb,
+    0x0f5d5d40, 0x9c7910ec, 0x00090eef, 0x3d259407, 0x01a013e2, 0xe514438b, 0xf47ac935, 0x33616bfe,
+    0x93978254, 0xe32b3760, 0x1dde7152, 0xe412a456, 0x447be224, 0xe1332132, 0xea92260a, 0x41794db6,
+    0x75478b14, 0xca854112, 0xdb4211bd, 0xc28fb4ba, 0xb72271e4, 0x44fbbf92, 0xee739549, 0x3a565678,
+    0x7574d126, 0x6649d047, 0x27a5ca8e, 0x729eeb97, 0xff9482b7, 0xcdc60eb6, 0xcac6bbe1, 0xe2303f81,
+    0xefd88967, 0xfc6d2b86, 0xed150450, 0x2b034504, 0xef3dc497, 0xc5323e4e, 0x5d6ca7a8, 0xd2e8f4d0,
+    0x3ca17fda, 0xc580c556, 0xa8455349, 0xf26958cc, 0xf80222a1, 0x06e244b4, 0xee115de4, 0x1f8ea02b,
+    0x82377c63, 0xbd1a231a, 0x47dfffb7, 0xa864b0d4, 0x119834c9, 0xea7f3d92, 0x3da0e851, 0x1d744f57,
+    0x8fced255, 0x63ae90ef, 0x2c25c0cd, 0xa7d60aa4, 0x00ce9386, 0xe07f716d, 0x0f60d35e, 0x00d2b111,
+    0xf91dd97f, 0x9fdcfbc4, 0x63324ce7, 0x95049b1b, 0x06fcbb0e, 0x39eb1e5e, 0xf573d41e, 0x5da3709e,
+    0x55b271ee, 0x8eb229cc, 0x3370eeb0, 0xb4b68a48, 0x3b7c933a, 0x9af570dd, 0xe9d4c821, 0x06dd1199,
+    0x892f94ae, 0x9ee30dd5, 0xe2481e2a, 0x56f069e6, 0x9bff12a1, 0x8cb49b92, 0x13753768, 0x5a90f27a,
+    0x2372200e, 0xbd041a54, 0x6f81d973, 0xaee586eb, 0x09201a1f, 0x123d09f2, 0x21992afa, 0xba05633a,
+    0xb8b570d8, 0x759619a7, 0x253894ff, 0x1f6cbec0, 0x94fa34a9, 0x8f7abcaa, 0xaa4bfe7c, 0x8b3c0f96,
+    0x00000000,
+    0x4eea8f9c, 0x833287ef, 0x4173c2ce, 0x48db5640, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f,
+    0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000002669983794901137602\
+                         99377713271194014325338065294581596243380200977777465722580068752870260867072 */
+  { 0x00000000,
+    0xa97de2d1, 0x6ff0468c, 0x829e7d21, 0x2183375a, 0xaf62a879, 0xe4a740b9, 0x2017f519, 0xa4e38770,
+    0x08725660, 0x26598e72, 0x0044248d, 0x3ab612c6, 0xc7d2bcc8, 0x4969e08e, 0x35f282fa, 0xb701a2a6,
+    0x5dfe8800, 0xf11fb41a, 0xd92ebdd6, 0x803ef22a, 0x9b51bdde, 0xe2facb81, 0x2d8fb262, 0x9a86dc14,
+    0xd0812606, 0xc5c7833f, 0x3641f6c0, 0xfa0cc0d8, 0x90bde6ae, 0x5041df11, 0x4be5e818, 0xc54d3657,
+    0xd217b49c, 0x5de5476d, 0xd8e93c93, 0xa627c1da, 0x355e5a91, 0x82c583d4, 0x303a34f0, 0x2ae438bc,
+    0x913dea4a, 0xc904714e, 0x5f70331a, 0x1b43540d, 0x5f22f4d9, 0x956e1992, 0xeabd74ca, 0xd9f6f0d7,
+    0x627bd228, 0xbdb225d0, 0x7a89cd13, 0xd833f0ac, 0xd4bc3b5a, 0xd98a7971, 0x67f5056e, 0x4b6b6ed9,
+    0x26a47f26, 0x576babd1, 0xea7591e6, 0x407878c7, 0x7d9f04fa, 0x7a467824, 0x9b8e3b3c, 0xc199d5e7,
+    0x1ea2405a, 0x54ca02b1, 0x95ccda8a, 0x5af08d9e, 0x19d396df, 0xa93063af, 0x6e8d1476, 0x5afe4557,
+    0x73af4c28, 0x9eca94d8, 0xb5420a5b, 0xae5d7c6e, 0xac719da3, 0x474fe19d, 0x5236aaa1, 0x3a5ef209,
+    0x1785f7ff, 0x5447309a, 0x80316357, 0x0062b114, 0xd1874c80, 0x445abc32, 0x16864c2a, 0x81d8e14b,
+    0xfe16c4b7, 0x4a25d0d4, 0xb10c01e4, 0x365fe511, 0x3fd96463, 0x2e30906e, 0x96374d1f, 0xdfde79c6,
+    0x4bc53eaf, 0x1529ca4a, 0x3b5c8899, 0x5e2c142a, 0xf3f7c1d2, 0xc60fdc98, 0xad856f1b, 0x7e31e2c6,
+    0x0516cd03, 0x20af97d1, 0x334ac149, 0x70e3f9f7, 0xa47cb6bb, 0xe88c66e4, 0x38475ab4, 0x16b1a1de,
+    0x0c0b7b3a, 0x8d0b65a7, 0x04eca3df, 0x342e1442, 0xdc5746ea, 0x5550ea57, 0x67945fe8, 0xec7c7355,
+    0x19a687de, 0x9a1f09ff, 0x4fcfc824, 0xcaa138ca, 0x54b34697, 0xc9ccaf82, 0xb5c3f321, 0x16abd742,
+    0x1ae45fb1, 0x6f062821, 0x06dce964, 0xc6103692, 0x6f3c3ac6, 0x14fd9a0d, 0x7dad0749, 0xad802ec3,
+    0x62314ba1, 0x55830b26, 0x71396d33, 0x6503edd4, 0xa5f5c9eb, 0x3fa611c9, 0x338bee94, 0x1287833b,
+    0x7b15e888, 0xb1f2cb63, 0x78eeacc8, 0xb7cfadfc, 0x31cc3d94, 0xa407ac5d, 0x7db9e097, 0x65278064,
+    0x17c05c0e, 0xd82de194, 0x514a2937, 0xd69ca39f, 0xd80d9a91, 0xcc31ccf7, 0xaf9ecf57, 0x9fa6af39,
+    0x8b1d9797, 0x367d56d2, 0x648c3fff, 0x50639510, 0x4811ae8c, 0xc7780538, 0xb4c16d3b, 0xf05e70b9,
+    0xcee4b9bc, 0x4abdd5b0, 0xbbe43bdf, 0x58e3089f, 0xde5bff6f, 0x62c5806f, 0x9df06430, 0xd4cad88a,
+    0x9db549a8, 0x321d9394, 0x9cf45079, 0x993294c5, 0x91d2feb1, 0xb6dc30c3, 0xed0eb461, 0x7279f045,
+    0x8bb7b9aa, 0xd3f4166e, 0x1c687576, 0xf125b341, 0xcff4dc68, 0x6d15d931, 0x1438ab22, 0x2e8628e0,
+    0x16379adf, 0xe809d442, 0x8d3d88e5, 0xd39e447d, 0x470303ef, 0x6085aff0, 0x390c5b89, 0xa83bc95a,
+    0xae9972e8, 0x6b4050ab, 0x09b4096a, 0xd392fb03, 0x93b6d385, 0x36ee9f6d, 0x58f91d63, 0x3e3b2104,
+    0x976a967a, 0x9fb365c2, 0xdd2f3f28, 0x4b7ba951, 0x304d6406, 0xd4338e59, 0x21e93832, 0xf0907f1f,
+    0x24d4f7b6, 0x27e15e2b, 0x158190f3, 0x5f0817af, 0x2b2cfebe, 0x4a4f53e7, 0x0f3018b9, 0xb39b5768,
+    0xf5b18146, 0xdb708d2e, 0xdfadea9d, 0x25733afb, 0x475c1eb0, 0xe86a23eb, 0xa62f408d, 0xd484a3c0,
+    0x5c3cfea9, 0xf207b113, 0xb5eaec69, 0x177cf948, 0x8f8bac38, 0x0aaa90c4, 0xa5dc5ef7, 0xc6a6d213,
+    0x4e975362, 0x6234de80, 0xbf2e7c33, 0x0d5d0bc9, 0xd2c7a29f, 0x6c1586ff, 0x3d8c1e07, 0xe8d97980,
+    0x89877da3, 0x5aa834cb, 0xfc2e7cad, 0x92a45663, 0xd350137a, 0x9a403c12, 0xfdad7251, 0xd3651e55,
+    0xe4b537fa, 0x9246d879, 0x3c5c9cee, 0x655968ac, 0x5bfddd87, 0x239881a6, 0x29df0d68, 0xd228334b,
+    0x2128ff3c, 0xbdaa8293, 0xd1852780, 0x38dc43ce, 0xcfa74746, 0x0e9bdd03, 0x72400f09, 0xae94da1b,
+    0x2e2f15c7, 0xa29d1009, 0x264fd1be, 0x471a7cee, 0xc03aab1c, 0x419fba53, 0x1ce2351b, 0x2360a700,
+    0x7e5709f8, 0x06269e5d, 0xb5803751, 0xa44f800f, 0x8794b7b8, 0x1dc1b852, 0x75c80819, 0x87d4e816,
+    0x7befba1f, 0x036f3621, 0x4581e976, 0x9c4f08f0, 0xe20a25c7, 0x64f0e2f7, 0x808a6420, 0xaffafd09,
+    0xa5db0131, 0x001c011a, 0xfd15aaf1, 0xf24c3aa7, 0x33cb9bad, 0x6f7202de, 0x3feda773, 0x15d0bdcb,
+    0xd5ca9559, 0x644e37b4, 0x9fc7aa96, 0x947d9f72, 0x32c6fb24, 0xa2baa05e, 0x7c3d8450, 0x3c50a37b,
+    0x0bb75ae8, 0xa846c9e8, 0x268f0da2, 0xdaac44b9, 0xf16dff17, 0x43a8c11a, 0x69b44e38, 0x5aca2701,
+    0xbdff84fd, 0xbffa8dee, 0x0f4e6de2, 0x5977c900, 0x14b722d2, 0x6c332911, 0xd491a8eb, 0xf6524b64,
+    0xb35b662d, 0xc3fe22bd, 0xb02c43c6, 0xb6187848, 0xc9710851, 0xc78cf420, 0x6a0eb7e9, 0x75f8cdb2,
+    0x544f2f8d, 0xe2bc4207, 0xb09220cc, 0x437a428f, 0xf9cb6ed4, 0xaf981cea, 0x06427bc3, 0x83aee70c,
+    0x1488852a, 0xceeaee8b, 0x62e169df, 0x8caf2349, 0xee64b17c, 0xb323baad, 0x349c6fbf, 0xb961ec7d,
+    0x3c2e4de9, 0xafd460ef, 0xfa09e35b, 0x5974b13e, 0xa6e8b08d, 0x335b2240, 0xd35cb58b, 0xd0757e51,
+    0x4a1d8a4a, 0x8d9820b9, 0x9870c573, 0x4bccbbc7, 0x86a69e40, 0x5bba41a9, 0x023369d0, 0xb991804d,
+    0x69b36f84, 0xd2e7c6da, 0x62c584d6, 0x7043eefe, 0x76eb49ac, 0xa64c2f6f, 0x1ce08bb1, 0xdbd5fe35,
+    0x53bd3eec, 0x2c2b072d, 0x2a6b7adf, 0x084fbe9e, 0xb67a0654, 0x4e59d55c, 0xac2772f8, 0x51cfa516,
+    0x35207f82, 0x5eb64b57, 0xd080af1d, 0x5ae281e4, 0xcd06618a, 0xcfaa4ae8, 0xfbc0be2e, 0xdc2c11f6,
+    0x192e0fed, 0xeb8738a3, 0x9b60e091, 0xb9c5cda7, 0xb60bcde0, 0xca26801d, 0x7ccbd402, 0x9486dfc0,
+    0x7be117f3, 0x2c8ca383, 0x5b2441f3, 0xb7e3228d, 0xc4cce1ef, 0x046ef96a, 0x8dd67d44, 0x569de771,
+    0x44590316, 0xee955d60, 0xe676b49e, 0xfa1615d2, 0x9d8ff9f6, 0x6ee473d2, 0x27374cfe, 0x1e16086b,
+    0x555bbc2f, 0xcf237591, 0x60f3bcc3, 0x9305e54f, 0x86f5f56b, 0xdcb190dc, 0x3ca9b83a, 0x6c583959,
+    0x215006af, 0x96554aba, 0x190074bf, 0x16354250, 0x0de8711b, 0x3bde0ce6, 0x3ee22535, 0xa6e740b1,
+    0x885565ef, 0x6dbabfe0, 0x8ffb6e7a, 0x2aced511, 0x3462c46f, 0x261a2235, 0x54d56fd9, 0x87933d2b,
+    0x4b3bc08d, 0x5a0bcc6b, 0x24e94ee3, 0x99fa337b, 0x2b70927d, 0x6e61e732, 0x58a0bc56, 0xf62a7a6c,
+    0x750782b1, 0x4166b27f, 0xb8e4bea9, 0x6a2fcd5b, 0x09f1de70, 0x9b67adf1, 0xfc168afb, 0x1bef60a1,
+    0xd941ff00, 0xd8b8c80d, 0x7c2c82c9, 0x0080a89a, 0x791d391d, 0x6efa636f, 0xa68dbdf1, 0x50be0b3f,
+    0x6988beea, 0x0d8ad3e0, 0xa2095d9e, 0x25c63044, 0x1155140a, 0x3dcd5b9c, 0x4a216cbb, 0x7f24a9c8,
+    0x131e795b, 0x415a5fac, 0x142a253d, 0x69637c86, 0x4e0d4960, 0x07d7c595, 0x913d05fd, 0x41befd35,
+    0x0798fd10, 0xd42a0666, 0x700ffa45, 0x24292e3b, 0x0c3faecf, 0x2cd903a9, 0x439daa11, 0xa74ccae9,
+    0x60c312c4, 0x749f7cd1, 0xbce7bcf0, 0x33d87151, 0x7f50122b, 0x04e9af7e, 0x8346a953, 0x97b71170,
+    0xf2f2f107, 0xdf684729, 0xb122d200, 0x24368464, 0x14712459, 0xb7befa31, 0x35511cb4, 0xa4963911,
+    0x8bb2fd36, 0x7971851a, 0x860060a4, 0x64da56db, 0xab361d3e, 0xe593e7b7, 0x2c534c17, 0x82f18df3,
+    0x4ec95695, 0x37254739, 0x3208bd3d, 0x009a63a1, 0xb4e89cf1, 0x17079026, 0x0de71bf1, 0x2bfe5e07,
+    0xf7499dc1, 0x2fe80765, 0x6e22bb77, 0x6a6db588, 0x18adde4f, 0xd3a14cf3, 0x6f386ce0, 0x9b5a8554,
+    0xfb587487, 0x4477f1a0, 0x36f8df3c, 0xdd44eb7f, 0xa6793f0a, 0x3ad350ed, 0x63c959b8, 0xd700d0ff,
+    0x2a5939b2, 0x4778948e, 0x401a364f, 0xad737c53, 0x9ea0aeb7, 0x241408e3, 0xeeb1a870, 0xf8552c9f,
+    0x1a74ccd1, 0x96562f79, 0xb72b7bcf, 0x3e15473c, 0x2a1564f8, 0x46c57936, 0xb2cc93dd, 0xd88c4ec0,
+    0x79682ad8, 0x75adacf4, 0xd5c6b5a6, 0xa3eedab8, 0x56d201e4, 0x382607a1, 0x47485274, 0xb0e9c75c,
+    0x41366172, 0xe7bae754, 0x8f6251f1, 0xea55a539, 0x50b13a27, 0xcaedab19, 0x0aca4bab, 0x149ef225,
+    0x0b2428a3, 0x2381bb68, 0x736f83a1, 0x87a4a10f, 0x95ee249f, 0xec5627a5, 0x644017ea, 0xd7d7a87d,
+    0xc7dd8df4, 0x1e1fc333, 0x3c886d16, 0xfea82d0a, 0x0fabcec2, 0xa6977d12, 0xac2eb995, 0x218d897a,
+    0x1020dc5b, 0x0731a894, 0xc0f78081, 0x19158765, 0x689083ce, 0x92a69172, 0x0a3ad994, 0xd414677b,
+    0xd62f3874, 0xc093ffb4, 0x2293697b, 0x7ff11eff, 0x5fccde65, 0x3cb44c87, 0xe2d5dd13, 0x84b9f110,
+    0x2e745ef3, 0xfa9ec42e, 0xf0588d19, 0xce69bfff, 0x1675a29b, 0x90596971, 0xd605552a, 0xde605217,
+    0x8d376065, 0x83e8c8a7, 0xb2c64bd1, 0xb1b42ee5, 0x593a830e, 0xd6c5b835, 0xe778a945, 0x0ba6c16b,
+    0x3baaa5b5, 0x3654febf, 0x1c78faa7, 0x94d746ee, 0x8c56e7b8, 0x4fa364c5, 0x4f44d6a4, 0x21e21b02,
+    0x794ecc0b, 0xfbe2a603, 0xc36e3868, 0x98265300, 0xcc041252, 0x42d62386, 0xe42ad78b, 0x2a4407a3,
+    0x845ce994, 0x3d918185, 0x25181039, 0x0a171c16, 0xff18f139, 0x70d5b9a2, 0x1dfb9eb9, 0x2a082d31,
+    0x32f50ad2, 0x1005cedc, 0x40e1ac13, 0xf168b4b9, 0xdb2ee51b, 0x574a9220, 0x4e664c8e, 0xc64c5afe,
+    0xd55c9c3a, 0x5974f064, 0x094d8ff6, 0x44d1b636, 0x01863674, 0x3a84c056, 0x49e86c1d, 0xee2cd983,
+    0x157d4ba3, 0xaa33f507, 0x9836351b, 0xf85391a7, 0xcb82d8df, 0xcbaafaeb, 0xb803ae5f, 0x3e432863,
+    0xbeb63c00, 0xee819172, 0x2eddb69e, 0x5a0a0b4c, 0xcaa81988, 0xdc34e2b4, 0x65c79a8e, 0x416a2ea1,
+    0x500970fa, 0x46e61b22, 0xc4819b2f, 0x9233b6bf, 0xdc78cc19, 0xb58e7029, 0x05c88b60, 0x69703e02,
+    0x5ae15ae3, 0x9bc12670, 0xa600a6af, 0x55111cb1, 0x30678a35, 0x66a85864, 0x7063b4f1, 0x886f261a,
+    0x8d8c9028, 0xb8dea9c6, 0x7d075718, 0xcbc657b3, 0x27d66be6, 0x5550e60e, 0x25a48e09, 0xf4cc482a,
+    0xfe66d8d9, 0x4a7dddf8, 0x18a72e6f, 0x17fcff71, 0xa59ea576, 0xd83253f0, 0x10f274d3, 0x91e9bacc,
+    0xdb1704fd, 0x228522a9, 0xfc9af9d3, 0x67e6b4dc, 0x839ac3c4, 0x8fce0235, 0x31aca470, 0x435b1143,
+    0x1255f2d3, 0xbc91d2f0, 0x6ad73609, 0x67a07943, 0x348833e7, 0x278bf114, 0x3c974149, 0x770d280e,
+    0x56c4fe98, 0x30368662, 0xee7fea9b, 0x200bbd08, 0x699b048b, 0x2187c398, 0x0f1a7b6b, 0x3f110aa4,
+    0xdbca8ffb, 0xd7c258aa, 0x30763a7d, 0xe3e0f365, 0x5fbe5591, 0x6ce9743a, 0xfc0ccea3, 0xf7b67dd2,
+    0xe0bfc245, 0xbdcfbdf6, 0x9597b288, 0x9696d41d, 0xf9792f47, 0xca84f42b, 0xaced28c5, 0x438133a4,
+    0x55159509, 0x1ac7ccef, 0x9403163d, 0x38601472, 0xd62b1ce9, 0xc85f43e9, 0xfdb8f71d, 0xc4629ce2,
+    0x9478a6e5, 0x7b347059, 0x36060f99, 0x282503f5, 0xa4bf9d6e, 0x24451065, 0x0070a7dc, 0x641ea953,
+    0xc8aed7bc, 0x292e1940, 0xea9f5e2b, 0x69382159, 0xe8ce16a4, 0x4772caef, 0x3199b02b, 0xdfa65e4d,
+    0xef2397ff, 0x844e2fc9, 0x978689f6, 0x745cdce6, 0x2c0e8840, 0x8df32714, 0x98b264bc, 0xbae65d05,
+    0x52f45f0e, 0xb97e76b6, 0x575ca042, 0xa7f71e4a, 0x8d743e89, 0x30165196, 0x8cc293ab, 0xb5cb3cce,
+    0x5b6b473f, 0xd11f626e, 0x85efd2ca, 0xfda329b7, 0xffe01095, 0x37fb8712, 0x75d74cfa, 0x84e478ec,
+    0x260ef006, 0x4436f754, 0x99cefba7, 0x0b0555a0, 0x721f682c, 0xc43c124c, 0x1ed8ae80, 0x3f97b05d,
+    0xe25ec768, 0x5b411830, 0x0284350d, 0x521b0f1d, 0x4a54b3f9, 0xf08fda97, 0xbdd2f4a6, 0xb32f496a,
+    0x602ff0b0, 0x99494238, 0x592c13a6, 0x6a5ed415, 0x9e79a584, 0x6d15d06c, 0x7ac3c394, 0x68982f5c,
+    0xd56b387d, 0x516d2466, 0x1eb0f680, 0x34d44f42, 0xed08f0af, 0x1c2cb3bb, 0x3c888961, 0x951c310f,
+    0xb68dcebd, 0x8f5da8d3, 0x24068068, 0x8051a099, 0xe7f6ce6e, 0x78975187, 0x3431cfa5, 0x19ec4cf5,
+    0x7af8e83e, 0x768c96db, 0xedbe0286, 0x3a259c53, 0xdc5764d3, 0x07c90eea, 0x1dc66f49, 0x8d058dde,
+    0xd89cf350, 0xb030697d, 0xc2cac17e, 0x7c17207f, 0x1e1bee8d, 0x5f193054, 0xd45b810f, 0xeea858f2,
+    0xa8290dbd, 0x1437ce25, 0x43e1013f, 0x35d47fcb, 0xda34838f, 0xeb9969cf, 0xff6f638f, 0x37ee30fc,
+    0xdcf6c92b, 0x511c88b2, 0x0621022d, 0x9546f2aa, 0x6b042099, 0x08f3fa23, 0x85c186b1, 0xcd6f08da,
+    0x0752cbb0, 0x1b256dc0, 0xb481959b, 0x2e8477e6, 0xfe0ccc51, 0xd1fa180e, 0x0522a698, 0x950fe631,
+    0xdbb324b7, 0x8d471a3c, 0xc4f2b554, 0xa1cc988f, 0xec3b9421, 0x1a7ca959, 0x5fc4f5e9, 0x52e2e30a,
+    0xa1119bf4, 0xf4820283, 0xa61494fc, 0xf8ce658a, 0xfee5f3d1, 0xb5071d42, 0x3edcc824, 0xcd3485a9,
+    0xd090ad07, 0xdf838db0, 0xceff0d4c, 0x869b6d20, 0x36fa8016, 0xbd95b982, 0xedffc1d9, 0x0340314a,
+    0x64e61db1, 0x36109e5a, 0x620eece5, 0xf221a9c4, 0x88109a64, 0xdb88d089, 0xc0840912, 0x1478d61b,
+    0x72173013, 0x253e7d4a, 0x189cc193, 0x94e55d3c, 0xf8db28f0, 0x5aac21f2, 0xf4d69f66, 0x8b5c90d2,
+    0x94c58a44, 0x039f8368, 0x2c5fe130, 0xfa2a91cb, 0x79730eeb, 0xb026626d, 0x4a0b0fc6, 0xb87d6051,
+    0xe525b1e8, 0x27503357, 0x5605b53a, 0x4d9e8102, 0xa61afe4e, 0x48eed057, 0x5387f902, 0x8342232e,
+    0x82069e6d, 0xff8b60fc, 0xa93c7656, 0x49494510, 0xd875aa5d, 0xb488bf4f, 0x338e9cce, 0xf24ce256,
+    0xe7b03be8, 0xe279ab40, 0x39404c18, 0x319752de, 0xcaa87b52, 0x08870a43, 0x99290e4f, 0x42deadc8,
+    0x024685cf, 0xca2d55b4, 0xb84226a8, 0x4eb1915c, 0x35e22ad4, 0x409a144f, 0xb39d45ee, 0x372bccf3,
+    0x276a2f84, 0xc387160a, 0xb5bc308e, 0x2a0f75ab, 0x828b66d2, 0x55688b71, 0x8f99f20c, 0x0bcf25a0,
+    0xd199b766, 0x72aed4ff, 0xd8f8dfca, 0x1e7d02a3, 0x4b1b4b31, 0xd9f4a1bf, 0xf6c96ae1, 0x7e26d62a,
+    0x1fe8dcee, 0xd7e52c15, 0x4362f259, 0x4ccbfd04, 0x979e7174, 0xeae02b46, 0x4c5cbfb6, 0xf22bf994,
+    0x7d3f0aff, 0x8915ee40, 0xb6d3058e, 0xaf600495, 0x39f2b402, 0xcc4256cb, 0x1d883477, 0xfe63d637,
+    0xdf948565, 0xf36468bd, 0x91f60ad8, 0x59f8da9b, 0x4a05b41a, 0x24715f99, 0xf599c474, 0xafca8a37,
+    0xb8c066ef, 0x8b1b2cc8, 0x2843025a, 0xa8c17688, 0x1cacea32, 0x432484d5, 0xdce83f8e, 0xb4c10c2c,
+    0x50ac8753, 0x6d5a9396, 0x8ba6fcae, 0xca2b7711, 0xb8839705, 0x69b0ccfc, 0xd5a6e848, 0xbccbdd70,
+    0x00000000,
+    0xa77547cd, 0x419943f7, 0x20b9e167, 0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf,
+    0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000001334991897450568801\
+                         49688856635597007162669032647290798121690100488888732861290034376435130433536 */
+  { 0x00000000,
+    0xb36b8cae, 0x8adc90d0, 0x3d1a5f66, 0xcb30c8c4, 0xbd4cb3ba, 0x3c66fd86, 0x853f5d65, 0x0925ae01,
+    0xcd303127, 0xd44d0375, 0x6f361a52, 0x9dc5ef72, 0x0071bcd1, 0xea1d5654, 0xfca2050b, 0x01319b30,
+    0x86e9d049, 0x24a06d0d, 0x0ef8b5b9, 0x150377d5, 0x26e76263, 0x60ae1756, 0xf8ce6610, 0xa222b4c7,
+    0xec6ed1d0, 0x0566269b, 0xf3e05a1d, 0x2d3aa47b, 0x45e67a35, 0x136eef9a, 0x6d387e60, 0xaaacf26a,
+    0x7ad1168c, 0x84233a9f, 0xe4780feb, 0x38fe9240, 0x45ccea83, 0x187aa465, 0x5c8f15de, 0x2fa8f2a0,
+    0xbd019564, 0x38795fe9, 0x77419093, 0xe7d9312a, 0xa692aaab, 0xe6bdc1d4, 0x5058acd3, 0x2b9871d6,
+    0xc97ab4b1, 0x26504786, 0x3f9c5f3c, 0xbaa91104, 0x64ace645, 0x4845b6c2, 0x2b1cbc5d, 0x427f4260,
+    0x0aa3a799, 0x49cd590e, 0x2d419c3f, 0x3c38766e, 0x14fd7892, 0x07313f47, 0xae7fbfae, 0xe3cddca4,
+    0xb60740ca, 0xf6a1b252, 0x3f3413c9, 0xb8b1af31, 0x2c890335, 0xbe9c3045, 0x60fd7c9f, 0xa2493053,
+    0x91864f4c, 0x2e791f09, 0x41d391ca, 0xf150d65a, 0x5ef0164a, 0xe54c8a8e, 0xdac4635d, 0x8ffea036,
+    0xc693bd83, 0xc0e1f3c7, 0x02b3b2d7, 0xcc269888, 0xb5dc36ef, 0x1fe911f4, 0x8dfa535d, 0x044f915e,
+    0xabb5e79b, 0xf10d0099, 0x204758e6, 0xd077983e, 0x772bc696, 0xdb4c66fd, 0xc08144a1, 0x3ddd7710,
+    0x24bf998e, 0x4e4ffed6, 0xbc40e131, 0x4143eab1, 0x2583049a, 0xc2f02ff1, 0xc26d8984, 0x109b4cf9,
+    0x060d51a5, 0x0f65f24c, 0x4cedd28d, 0x55bb6224, 0xb96725aa, 0x536a2f83, 0xb17455ac, 0xc3597ada,
+    0x8a70d30d, 0x3371771c, 0xa27bbc5d, 0xa6db90af, 0x49e1b013, 0x1b9b898c, 0xed2f2f2c, 0x0da1c99a,
+    0xcdadc9a2, 0x46e293c8, 0xca4fdb07, 0x6acd1d85, 0x03afa13e, 0x9970f1b8, 0x397ee356, 0x20fc524e,
+    0x41b3bb74, 0x1a37bead, 0x9767bf55, 0x1350c57b, 0xb97c45fb, 0xdbe2b00a, 0x8991e068, 0xca2945df,
+    0x34bf40c6, 0xa5d57050, 0x86d0f790, 0xec74257b, 0x495d7a1f, 0xe89b101a, 0x68011018, 0xef3fa2b9,
+    0x450553f7, 0x47ac911d, 0x24e863ac, 0x813c476a, 0x2ab61123, 0x4e64d419, 0x81d63fa1, 0x2dcf14ef,
+    0xd3fc72d7, 0x98876a3c, 0x966145df, 0xf599a0b2, 0xbc454544, 0x84c6c3fb, 0x32d9fa81, 0x508d7618,
+    0x1fc48be8, 0x3689a158, 0x3352226f, 0x504f5778, 0xae24aab0, 0x84e43473, 0xdaf5657a, 0x04e499b0,
+    0x97a70972, 0x70e97bfe, 0xc2ec62c6, 0x165b0acd, 0xcc3eebef, 0x57a48882, 0x76dfc93e, 0xf94349da,
+    0x252cb1f7, 0xb86c0bac, 0x37d25881, 0x4e37326a, 0x04a32041, 0x5057c854, 0x06a64f38, 0x73c2ebe4,
+    0xddbf7883, 0x9b02a522, 0x9d0c5f99, 0x33afb747, 0xdc46e3df, 0xb4773cfc, 0x8444aae9, 0xa3eb3480,
+    0x66c6b7b6, 0x7d9bb978, 0xf784466d, 0x7e31229f, 0x5e27cf4a, 0x6784ecc4, 0x467977e1, 0x3a9764b0,
+    0x41e36d41, 0xad0d167d, 0x32d5500b, 0x8b316495, 0x14301281, 0xe4bf2f94, 0xe45b4712, 0xb501739f,
+    0x4eab1097, 0xafa3d193, 0x7a2b0c9e, 0xe4f97c5b, 0x286a09f1, 0x374f0d86, 0x72e966c5, 0xcd4662b3,
+    0x0f4d6670, 0xde997845, 0xd74acb7a, 0xc3d32ff0, 0x4786a1a3, 0x9643300e, 0xa8b4e1d9, 0xa4d9ad49,
+    0x02d639b9, 0x421e6362, 0x40886ce0, 0xe0e7b470, 0x8053e3d5, 0x78702527, 0x121fcb49, 0x7e4ba70f,
+    0x5da935f4, 0xbda72a13, 0x9fbaa030, 0x1c5d8b3b, 0xaa7f0c97, 0x8ab3d448, 0x31799b5c, 0x579e4ebc,
+    0x25619c5b, 0xec7fa536, 0x4bc074ae, 0xad1f40d4, 0xd58b3587, 0x9f41a4c5, 0xb35b0437, 0x54edb29b,
+    0x5445ae37, 0x750036b3, 0xe8cab4d7, 0xd68bae7c, 0x1ec877e7, 0x7a13edf8, 0xfc3fe60a, 0x7160bbc2,
+    0x1e0e965c, 0x422feb62, 0xa50e3909, 0x675bea02, 0xd89a6c4d, 0x85fa0e35, 0xcd98dd46, 0xdb9361b0,
+    0x8dc9d7a0, 0xde59f73f, 0x78524f6a, 0x3d6fc92f, 0x836c4c87, 0x21cec39a, 0xdbf969bc, 0xc7c07ba0,
+    0x7d6ffd99, 0x3356993e, 0xee44f842, 0x90c3c5d3, 0x6759a9c1, 0x8fd60d1d, 0xb2572897, 0xbf7f6dbf,
+    0x0a1ca913, 0x7ce5a465, 0xfa8afb08, 0x2c4f08a5, 0xec682fe1, 0x22da9abb, 0x4e4a5bba, 0xb69d4e2a,
+    0xff898a7b, 0x6f0fe592, 0x38d7ace7, 0xfd55d3ef, 0x44baf120, 0x1c99d9f9, 0x249d27ae, 0x8336e3e5,
+    0xa2211d69, 0x774577b8, 0x5f846c90, 0xb6dfb689, 0x4081e305, 0x623398fe, 0xc6eb4fcd, 0x5fe264c1,
+    0x233c8408, 0x5a0376b1, 0x23aab691, 0x69c391b8, 0x0e1b5d70, 0x80cceb94, 0x90be297a, 0x62cf045c,
+    0x41cad60b, 0x798c71bb, 0x309c1bbd, 0x3b0d3457, 0x2981fec6, 0x405d0c00, 0xe57e313d, 0xf4f62e92,
+    0x3bcbd702, 0x5aec06f9, 0xb44d5ed7, 0xaf069106, 0xbaa7e35f, 0x9cf8bb63, 0x6b7ef670, 0xc23c51fe,
+    0x5efe641a, 0xa617d5b4, 0x59d90557, 0xab7a6b7f, 0x3f79fc47, 0x246ae293, 0x95a5e8e5, 0xa9341b4b,
+    0x5ab30f83, 0xf7625cfd, 0xcb07733d, 0x7a06dac7, 0x4395a05b, 0xcbd93a4d, 0xcb9c67cc, 0xdd661c8c,
+    0x7c8b0d22, 0xc84fc757, 0x0807efb5, 0xac8a05b8, 0x3fec6728, 0x991f9761, 0xd21fcc65, 0x5ad692cd,
+    0x11ad5429, 0x5bf86c28, 0x191fa4a6, 0xd9bf7baa, 0x0c7d6027, 0x26f9accc, 0x04f0315f, 0x81d3800d,
+    0x023dc114, 0x05f578da, 0x38db072f, 0x59ab041b, 0x37168983, 0x6e31d4f7, 0x60ade653, 0x1a7855c9,
+    0x656331ab, 0x0eeaf0bd, 0x7832ff6a, 0x50dd11fa, 0x9558cea9, 0xdbbe0d83, 0x752da342, 0xe78bffb2,
+    0xeac69e7e, 0x9cd8a6dc, 0xdc134098, 0x0b04eb87, 0x0e17d47c, 0xa44e1174, 0x5dcbf99d, 0x2f59afa7,
+    0xc986beff, 0x0bc9a660, 0x3e59e146, 0x8ed79115, 0xdb6361af, 0x5ff67453, 0x00f14bcf, 0xb770e77d,
+    0xb94a9014, 0x2f321079, 0x5f60b51b, 0x802ce948, 0x981179a8, 0xced55b5b, 0xa13e47cf, 0x3e2bea23,
+    0xd317e510, 0xe257c298, 0x8a6a952a, 0xda33d7df, 0x04e512c9, 0x056119a6, 0x9fd20450, 0xd39f1399,
+    0xd86bce1c, 0x622b5ed2, 0x750d436a, 0xbe8878ed, 0x5ef4851d, 0x8f9dc32b, 0x26536968, 0x4bfbecca,
+    0xed100785, 0x6bc3d998, 0x09cfd3d4, 0xe7373fff, 0x03018a08, 0xd794b629, 0xda09e309, 0x35a42c71,
+    0xed5a6fe6, 0x1399a2f5, 0x23c951b4, 0x03a35e4f, 0x879b1268, 0xb1b58eae, 0xb5e83ea7, 0xa8f5ab9e,
+    0x137d8545, 0xd6b31d0d, 0x0358e499, 0x74ab90de, 0xf417baa0, 0x38193204, 0xbf3beef9, 0x5a91eb19,
+    0x6b605651, 0xbde6c1f9, 0xb8c30020, 0x3233fdcb, 0x9cead3b9, 0x978f739e, 0x093cb622, 0x861de52f,
+    0x220ba12c, 0x5723e0bf, 0x62e8b7fc, 0x5244ac01, 0x3c3389f6, 0xd49826e8, 0x315a091b, 0xa5cdb642,
+    0xf74aee80, 0x83ea0cf6, 0x81e0c3ee, 0x96adf6c9, 0x7b2e8aea, 0x1e137a06, 0x6b728609, 0xe95dbbf4,
+    0x05aaddbd, 0xcd71428b, 0xc2a432ed, 0xef56b8b3, 0xace8e4e7, 0x8e3123a7, 0xb1abe411, 0xe28c0cbe,
+    0x3a34a1b3, 0x272f0f77, 0x5163f5a5, 0xd6dd8754, 0x4b5065c4, 0x4fe5cc4e, 0x25847a57, 0x8bce71aa,
+    0x00241443, 0xe7a6c9c3, 0x0f3958dc, 0xcafb4c63, 0x869603e7, 0x415c65b3, 0x6f5895b4, 0x626149a1,
+    0x9d3e5121, 0xdc21b309, 0x34fc7983, 0xf383c9f2, 0xcc5d5d19, 0xa5028a98, 0x2e3ea33d, 0xa8327a9e,
+    0x6305cb48, 0xa8670f5e, 0xaa61d30b, 0x4376fc1f, 0x36f6bb2e, 0x3429a021, 0xc957ab1a, 0x1817e974,
+    0x2a24e9c9, 0xf35cbbb7, 0xa9395ddd, 0x50674657, 0x02785a7a, 0x09165e20, 0xaee41b1b, 0x85ff7584,
+    0x5fccfed8, 0xd88e970b, 0xf0072e6f, 0x5a0a87ba, 0xfeb6d310, 0x18dc070b, 0xa3cce0e9, 0x974a47ef,
+    0x0a615b8d, 0x4596bcbf, 0x4b29de82, 0x39a68df9, 0x517997f2, 0xf74501c2, 0xa7f52140, 0xd6bc802c,
+    0x453babc5, 0x32643b1f, 0x97c37b51, 0x56783968, 0xbbbc0ead, 0xb4c0b8e5, 0x7b805dbc, 0xffd6f9cd,
+    0x38b2c6c5, 0x4fa4c70a, 0x893b6fc2, 0xb570e5e7, 0x849ebff0, 0x3aa29ed2, 0x7fbe5eef, 0x209b5ee1,
+    0x76dca03e, 0x543f9b23, 0xa19c08fd, 0xe24d88b3, 0xaea47577, 0x09ca8a15, 0x62c79e1d, 0x771853ce,
+    0x8a05c4aa, 0x8def930d, 0x350e9eef, 0x690c64aa, 0xd4f818ca, 0x3c129b13, 0xf6519bbd, 0x2c1dbefa,
+    0xdb1b54bc, 0x47a9c378, 0x84a6d980, 0x3179af5d, 0x9de7ca4a, 0xf0836b92, 0x604c6914, 0xc2607a48,
+    0xf07a20c9, 0x24a238af, 0xa49b6efc, 0xcdab7d62, 0xe5aa0766, 0x7ccbda1f, 0xc0faffec, 0x0df87fa0,
+    0x3ba39c76, 0xe458715d, 0x29bbe155, 0xe2c3b3c1, 0x19f34ba2, 0x373e6a88, 0x87188c8e, 0x45b06c61,
+    0x9a3569a4, 0xc95df0bb, 0x7bca7cf7, 0xfdeb6ea1, 0x3e6c5a47, 0x5451dd19, 0x55464dec, 0xbd1b49ad,
+    0x004cbca3, 0x16afbb7e, 0xbd847186, 0x1a0fe55e, 0x167b0e59, 0x51d19667, 0x9407d2c3, 0x617d53ed,
+    0x98c88769, 0x2827adf6, 0x4277b42a, 0x73e5d1b7, 0x4e72e81e, 0x65e9702a, 0x3c7c4f21, 0x639d23bd,
+    0x8a3615c7, 0x205b860d, 0x88db5378, 0x6b536844, 0x270e0a1b, 0xaca31e81, 0x2dc1350d, 0x5982f135,
+    0x7d120591, 0x0c4626d8, 0x49ffd654, 0xc84bd57a, 0x5c20265d, 0x6a2ef242, 0x713831a6, 0x3010275c,
+    0x187a1d83, 0xcfb454a2, 0x13b03d87, 0xac2a76e5, 0x4f7ac0f1, 0x5e0e29ec, 0x139b2d48, 0x868f9021,
+    0x8e48e758, 0xe5b9b200, 0x7d075ee2, 0xe5f9722f, 0x0645be6b, 0x316aca95, 0x1e64e145, 0x51b0e315,
+    0x2cf3a630, 0x2e0ad5f2, 0x255abd1a, 0xb4de61a3, 0xe4fcfb1a, 0x002736fe, 0xaccaaa89, 0x56f2d623,
+    0xd8b25a99, 0x7505d2b6, 0x4482315f, 0xba586cb3, 0xfd5c111a, 0x8719f33c, 0x601e83fd, 0xd1517fb9,
+    0x15af7241, 0xe6595ba7, 0x11c018e2, 0xa4e9701f, 0x959d6501, 0xdf0bfb34, 0x55291df5, 0xbd9535ed,
+    0xaba2b41b, 0xeec2595b, 0xdd8cb2c6, 0x687f75db, 0x3f2e6cca, 0x8ddca162, 0xa35da5af, 0x5a484cec,
+    0xcaf41bee, 0xaa5d433e, 0x520f0250, 0x49819ba9, 0xb7fb1a72, 0x323ae2f4, 0xe88efa43, 0x4d4f6771,
+    0x228d013f, 0x76057e6a, 0x15abd34a, 0x60e1232f, 0x68732676, 0xe8327513, 0xcb57b10a, 0xe48164cc,
+    0x432d7ded, 0x00f40494, 0x83e96807, 0x6a7eba31, 0x8388035d, 0xca42a5f7, 0x6f35425c, 0x635078b7,
+    0x471527e3, 0xb63c8480, 0x1d8dbaa4, 0xb5d86be2, 0x548238ca, 0x0b625c21, 0xc3fc8fed, 0xcbbce4b2,
+    0xe9acfac1, 0x2e7de85a, 0x93346e91, 0x8fcde25f, 0x455b493f, 0xce809d85, 0xb3fa9b1a, 0x5a5ea0e4,
+    0xbc1868f1, 0x2a2b92cf, 0xbed126a2, 0xf02f9bad, 0x5c0e3041, 0x1f53f0b8, 0xe7d0b0e0, 0x46307e98,
+    0x5dcf8699, 0xb0e9af94, 0x6d6acc8a, 0xe43ea83c, 0x55dedaab, 0xe7e36a42, 0x53b928e7, 0x80d38c2e,
+    0x7d62551b, 0xef5f6a32, 0x924f2d7c, 0x450eecea, 0xa3ce2c95, 0xf892fadd, 0x8d013a5e, 0x95ee9432,
+    0x72792de2, 0x75cb66bc, 0x0088f814, 0xfa5ba351, 0xfd6c74c6, 0x601da62a, 0xdc1bfaf8, 0x061f8af0,
+    0x8ad50f9c, 0x599986ab, 0x7af39855, 0x64851e38, 0x78a3b618, 0x1b7900ee, 0xa1f77adc, 0x5639064c,
+    0x88a2f00f, 0xb8fc38c1, 0x68915d7d, 0x4fba6225, 0x8674d73a, 0x2a19d850, 0x890ed712, 0xbb3cd2a8,
+    0xc90c9bc5, 0x8a58fcf2, 0xb9c49bb8, 0x6347ad34, 0x8a2aba71, 0xfbc1fab4, 0x68b1e5da, 0x11515105,
+    0x929ca94b, 0xfaaf5cd6, 0xdf45b2c3, 0xbaf829b1, 0x0c8ab3a5, 0x4e88db20, 0x807f2e57, 0x443b53b0,
+    0x60419f4b, 0x5fd2d0fc, 0xaa9f7233, 0xd2ea5312, 0x49cf003b, 0x09ae9a17, 0x9d76b644, 0x64952e05,
+    0x15bb2121, 0x4fdbc699, 0x7c7d69e7, 0x7a3b9421, 0x6ae5059d, 0xe811c886, 0xf4c413c1, 0x44184202,
+    0x268f2532, 0x633a74ca, 0xda81c4ea, 0xf6acb605, 0x757868a8, 0xa53bc5b2, 0xa2739a2d, 0x9bd3b496,
+    0x379ff52a, 0x087cd7be, 0x842bc632, 0x96f960a5, 0xaa5bd216, 0x96edf29d, 0x59b5d732, 0xdebae158,
+    0x000c3c19, 0xbbd055b9, 0xf6d6b4d9, 0x513224e8, 0x488d95e7, 0xd99bb7d7, 0xddc43abb, 0xfe17cc88,
+    0xe5dac5ba, 0xbcf85f99, 0xa1c14fe6, 0xe5f2e982, 0x18edd7db, 0xcbb4a296, 0xda737274, 0xb453fd8b,
+    0xa3eb97bf, 0xf1962eec, 0xfee548fe, 0xe9fb6a90, 0x48b172c7, 0xf9a12d65, 0x71b7d0c2, 0x6964ccbe,
+    0xd934f848, 0xe8a3de4d, 0x8f7b7e0f, 0xfa1b9400, 0x7498bd14, 0x9872334d, 0x03fd53ea, 0x7e51d22b,
+    0x0cee3ca3, 0xfce2b6a1, 0xe06cfa31, 0x92fa7a2a, 0xe3521e91, 0x33ab63f3, 0xa9ab1d02, 0x9f55bb87,
+    0xf283c1f2, 0xc3cfc557, 0x744eb507, 0xda67d766, 0x38fa1c5f, 0xd94fc0fa, 0x42f11eb9, 0x2cd3f7f3,
+    0xbcca0241, 0xed0e7918, 0xa78a1e23, 0x4d3ff9cb, 0xf7ff1469, 0x4409510e, 0xe3bf5d7d, 0xd81d1ea1,
+    0x22cd239a, 0x368eefa1, 0x2f5c0374, 0x02360fe1, 0xdc35a313, 0x1c1d3d36, 0x3db041eb, 0x58c55153,
+    0x31613c05, 0x0163ca10, 0xb16cc6ad, 0xe1d650c0, 0x9a9237f7, 0x76b94188, 0x6ec685af, 0x994acf76,
+    0x73ec92b0, 0xd4fc09f3, 0x35b59621, 0x1d170020, 0x743aa49d, 0x6f554689, 0x5b2e38db, 0x05c64151,
+    0xec4256c4, 0x2fd9cd91, 0x06bc29cb, 0xa5a3f7bf, 0x1f921bfa, 0x1efea320, 0x9ad1ef6b, 0x77f0706a,
+    0x55118446, 0xe97b917d, 0x08130e72, 0x5b3c98ad, 0x44b15d64, 0x09e4ecc2, 0xfcea81ff, 0x53aba130,
+    0xb09c6838, 0x9cd361c9, 0xa7300b69, 0x4d226e05, 0x46cf85c9, 0x8a1df8aa, 0xfcd13d55, 0x376f35bb,
+    0x32c3968c, 0xf83b11bb, 0xd08c093c, 0x2a7c5e7d, 0x25092587, 0x0560d48e, 0x6ce63630, 0x2aa2c8b0,
+    0x4785282c, 0x838660c2, 0x789f0f22, 0xb22579ec, 0x154d6dca, 0xc956ea46, 0xafae1d25, 0x425f1b80,
+    0x680bc4ce, 0x5008a2cc, 0xf64cf15a, 0xd8b66124, 0x47e5fe87, 0x50d3b94d, 0xf600a674, 0x2f0030b2,
+    0x54599285, 0x015a9cd5, 0x0b685e8b, 0xe4801233, 0xc9592ecd, 0x42556b53, 0x496967eb, 0x0f3c15d4,
+    0x5cf091e0, 0x1fa82510, 0x355319d8, 0xfa09d404, 0x3f084d53, 0x29449d1a, 0xfb21ed40, 0x10f00cb9,
+    0xdb20fd2e, 0x15a38717, 0x5e47c841, 0x0a3d5798, 0x9acd8333, 0x75680ac4, 0xf294c90a, 0x8a7219b5,
+    0xa0afb5db, 0x919ee7e9, 0xf99f1e2d, 0xed6c7ddf, 0x14001360, 0xdf3343a0, 0x3b7cf3de, 0xeb49cbc7,
+    0x91a1dd62, 0xedc7ace2, 0x2c281019, 0x85c8a0c1, 0xba719cd4, 0x655df0da, 0xbbf4612f, 0xcdbe92c4,
+    0x3f711fc1, 0xfac66da6, 0x9604197d, 0xf5a9f971, 0xefe0ae73, 0xb742ad28, 0xf4a653ee, 0x4461003b,
+    0x796995a5, 0x6eb6d9a5, 0xe30c68df, 0xa5143b22, 0x349e0dea, 0x9b256ac0, 0x8237cdb6, 0x4047589a,
+    0x307a9590, 0xd9c35d4c, 0x12af2aa6, 0xf46a11b0, 0x25c5adbc, 0x361a0c0c, 0x5c31228e, 0x4f9be247,
+    0xeebb49d1, 0x18128a12, 0xdee3886a, 0x4ae92dab, 0xfa42bcfa, 0x578d6b30, 0x65c112b9, 0x9b743679,
+    0x00000000,
+    0xd3baa3e6, 0xa0cca1fb, 0x105cf0b3, 0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf,
+    0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000667495948725284400\
+                         74844428317798503581334516323645399060845050244444366430645017188217565216768 */
+  { 0x00000000,
+    0x83a0beef, 0x4a59dd64, 0x8c6647e7, 0x2aaa2abb, 0x0642b3be, 0xde56f5e7, 0xe63527c2, 0xafc225f6,
+    0x11b8bb70, 0x78fbb40a, 0x947372e6, 0x35fd2263, 0x232fc804, 0x554f5bdd, 0x44259f51, 0x9de981bf,
+    0x548b9c3f, 0x8007b759, 0xb3174a37, 0xc14ed853, 0x079dea32, 0x05991714, 0x65b5deac, 0x5530d1e2,
+    0x0fbdd5ab, 0x1b5cc59e, 0x1b657e53, 0xb6c8e2e4, 0xc74d57f3, 0x5c59f693, 0x2104fa66, 0x53a12525,
+    0x040eb91c, 0xc8f42c43, 0x9d12cc42, 0x86231b31, 0x9ff0c5fd, 0xf29ca99a, 0x43ec03d7, 0x789a3145,
+    0x14d70811, 0x3761d212, 0x30d93791, 0x956fd233, 0x765df3cb, 0xafdd09f2, 0x13b7bcf3, 0xcaedcc10,
+    0xa8842623, 0x6b2ef5a9, 0x8c1b86b7, 0xca93dac2, 0x29268720, 0x08a719aa, 0x3f9e9f25, 0x3cd425d2,
+    0xbfa9f993, 0xfded093c, 0x8e167371, 0xf7fa8489, 0xa7a48b12, 0xcc648dc5, 0x695cbccf, 0x76d7f9e6,
+    0x2187d57f, 0xa18efa41, 0x024200e8, 0x45b279a3, 0xc044dfbc, 0x2894b09e, 0x4a2e22cb, 0xf1c492b3,
+    0x404e8952, 0x1cece72a, 0x8126a391, 0x12dff0fc, 0x0145a659, 0x393cc597, 0x58dd2ba2, 0x1858401f,
+    0x6e1ba683, 0xf7c08b3d, 0xdc4404c1, 0xb35d08bf, 0x907fa33b, 0x5f0c8e8a, 0xb8676803, 0x93abf43f,
+    0x45936c7c, 0x58eb07e9, 0x321bdb26, 0x424764ae, 0x8f8f1e91, 0xb3429d2b, 0x2e699830, 0xab7d16c1,
+    0xf6e0333d, 0x6c044ac7, 0x79ea61b8, 0x996dd414, 0x80293266, 0xc3eae8b0, 0x71b8fd82, 0xe97b5805,
+    0xe4b85e3d, 0xda685887, 0xc7fd2a49, 0xb4795bdd, 0x126c47cd, 0x0bf115cb, 0x547a992c, 0xb66fa89c,
+    0x8ba76dc9, 0x730cd448, 0x044787d7, 0xebaef5aa, 0xd0edc6ca, 0x4fa9ff6d, 0x566efa96, 0x98cdf70f,
+    0xbef11f46, 0x5ca00afe, 0x36d90b8a, 0xa342692a, 0xe0e3f35b, 0x607ac415, 0xb326f1e4, 0x4a89fafc,
+    0xa1d17ae7, 0x56daae91, 0x84372d35, 0x59faf780, 0xda268d34, 0xc4c4470e, 0x3099aa86, 0x3c5de298,
+    0x43fc0480, 0xe2802937, 0x34dc806e, 0x1e31f05b, 0xe22175c2, 0x56e76d95, 0x0eb9ff9d, 0xa8c821e0,
+    0xb0aede69, 0xb9b43a39, 0xd4c00d3d, 0x48ef1c45, 0x113f26ca, 0x3cd8e2f5, 0xb1ee30f6, 0xafed74e9,
+    0x63d0db00, 0x6d7e988d, 0xee9329e8, 0xbdcaaa2e, 0xf0a6f4db, 0xad3a63d7, 0x7d41b020, 0xf8244580,
+    0x4a5bb270, 0x962f7e62, 0x337c32fc, 0x3375d8bd, 0x8ee69234, 0xe54bd686, 0x3d2a1b46, 0xb15396a8,
+    0xed347039, 0x2f59a637, 0x74dcd46c, 0x5bb10586, 0x662041d2, 0x26197e16, 0xf3b3d3b7, 0xdf9bd214,
+    0x724cb2d3, 0x79676ecd, 0xf61e7e0d, 0x1b52e9ea, 0x2c2dad19, 0xcf363f0e, 0x4c3eb276, 0x7675b1ed,
+    0x020d93b1, 0x97428c24, 0x0d80a683, 0x979246be, 0x79075c0e, 0x2d4b07d9, 0x3fa6a35b, 0x866b3fec,
+    0x8eb75289, 0x85c7a8bc, 0xeb26c8bb, 0xe5ab54df, 0x440a989e, 0x607b962e, 0x1aa057bd, 0x14a42465,
+    0x9bc6c120, 0x09c984e4, 0xe0031b54, 0x1426d99f, 0x49537ae9, 0x6a4e3ea6, 0xd1b65854, 0x9d0a1a35,
+    0xe0f23136, 0x18930a44, 0xadb15b1b, 0xea1e8bae, 0xf0b1509c, 0x1603fb92, 0x17320b1d, 0x827e7701,
+    0x9908656d, 0xf198a806, 0xb93d669c, 0x8c8f442a, 0xc83ac850, 0x32a056d6, 0x7c65ce3d, 0xfe4fe5f6,
+    0xf3745fcd, 0xe795a352, 0x67322959, 0xf0440a99, 0x0ca0562f, 0x733bc30f, 0x2d59de67, 0xbcb08304,
+    0x8edb07b5, 0x6339243e, 0x0d09596f, 0x109f78d0, 0x7ec924df, 0x36b6c9b1, 0x8af1f10e, 0x070701ff,
+    0x1ed59c0d, 0xc42f2000, 0xcc82c05a, 0x7f4a0ca2, 0x4fb1a1cc, 0x99980768, 0x6144817e, 0x0700ba5b,
+    0x5f7930c8, 0xbde967cf, 0x7e27f564, 0xe206c1e5, 0x303292b9, 0x4f0d8e3b, 0x255a0f41, 0x7b6a98d0,
+    0x7fd2ca38, 0xea6fec82, 0xd458beb8, 0xec00660e, 0xa745b53d, 0x5e33f577, 0x14b83674, 0xdbf58cc1,
+    0x343609c9, 0x396a8ec2, 0xd73242f5, 0x3f92aa73, 0x3ebdb109, 0x71088117, 0x27e8a341, 0xf0874f71,
+    0xe0c9f1db, 0x8dce7b81, 0xcb09fb97, 0xc2913cfc, 0x1a735797, 0x85f6b002, 0x786fe8eb, 0x0fb48a49,
+    0x46448bf8, 0xdb9f7570, 0xdb034c2e, 0x468074cb, 0x52f77d13, 0xe09a9b9d, 0x5c8d4424, 0x0aa5c304,
+    0x7c3fcac5, 0xdd602b7f, 0x6251f7f7, 0xb84a8b67, 0x194c6370, 0x43eb2c2f, 0x5b88dd06, 0xcf7959fb,
+    0xc0ec3dcc, 0xbe1083ea, 0x5f0fd3fb, 0xc5b0849c, 0x707dcea3, 0xb3c276fa, 0xbd62bd91, 0xd0dd916e,
+    0x488d0a46, 0xb8f00f11, 0x34e31c97, 0x94395e3e, 0xb4fe4088, 0xb1ab1c47, 0xc146395a, 0xa94ae4c8,
+    0x15cb355e, 0x54a154d7, 0x403e7800, 0xbdf8908c, 0xca4d37bb, 0xe2e8ed91, 0xbfb0ce23, 0xff71560e,
+    0x130d0fd4, 0x4f5cb9d4, 0x7acef399, 0x6a7f3e43, 0x93bb06ca, 0x4a308e9e, 0xb2f183ef, 0xf5002e2b,
+    0x8fbfb0bd, 0x38e1c427, 0x24a6ebe9, 0xb1257d43, 0xbad099fb, 0x21addf6c, 0x09e4e3eb, 0x98c7ee90,
+    0x6a55d598, 0xbf8a2744, 0xfe8bd9b5, 0xf6844833, 0xd88949bf, 0x07ad6223, 0x923a14cc, 0x9902a394,
+    0xea5557b7, 0xe6d054d3, 0x9fabf752, 0x209372d2, 0xc055fa06, 0x9dc02d44, 0x85752a20, 0x220ba072,
+    0x848f037f, 0x107ec313, 0x45010a59, 0x1c9bb9bd, 0x1105ea42, 0x5b497953, 0x9ee57a9a, 0xa2b13392,
+    0x7db126d7, 0xa3a4cb75, 0xc7ce091e, 0x189aed6d, 0xbc4fbea5, 0x562049eb, 0xdfcb3351, 0x931fd56d,
+    0x49f34762, 0x01171a94, 0x2d2673f4, 0xc5a9983a, 0x9cef69e7, 0x957c25f5, 0xa4d5547c, 0xfebb6a98,
+    0x9fc6285a, 0x286bd824, 0x235716d1, 0xa19d1b93, 0x0393dc5b, 0x48512e1f, 0xec6ee4c3, 0xbd02cfd6,
+    0x7b027450, 0x29f54a56, 0x7280feaf, 0xd5c1ec7c, 0xfcf4a012, 0xfa01bcbb, 0x4416d063, 0x87404471,
+    0x75f6b047, 0x902c761a, 0x6edbdab4, 0x6762f149, 0xa804f408, 0xcfa303b6, 0xa6047095, 0x84f6909b,
+    0x0a16996e, 0x792f67d8, 0x9b3bb9c8, 0x939a8415, 0x5484be9f, 0x342658af, 0x3ca0cbb1, 0x5d05b71a,
+    0x8d207727, 0x707282fe, 0x2cc20e60, 0xbed7b112, 0x6de62f58, 0x28eb9d99, 0x9ce1b3ba, 0xc5b432ae,
+    0xa4f9ab1f, 0x8bcf3eae, 0x2b0acc4f, 0x45d39244, 0x47c0cac4, 0x69e17f6f, 0xe85ce479, 0x3a8132a5,
+    0x98b1e247, 0x9d888cbb, 0xabbfc411, 0xd9a1327c, 0xa92c075e, 0x7f4853e4, 0x5b16b91a, 0xfa2c9f33,
+    0x083cea84, 0x54127d45, 0x16cca9dc, 0x85c75736, 0xca176f95, 0x55a49590, 0x86e40564, 0x535a4023,
+    0x270613d8, 0x47377379, 0x6d0274b6, 0x9c81b064, 0xa5959634, 0xf878b1ee, 0xe914c100, 0xc2c3b7fb,
+    0x28b96609, 0x8193a869, 0xd183ccdb, 0x27436679, 0x8fe118ab, 0xd5a390fc, 0xa96b0eff, 0x4a3ac6da,
+    0x6b7be0f2, 0xb155f8fb, 0x49ad51e6, 0xbc741a15, 0x2903ceb7, 0xa83dd79d, 0xcb321fd5, 0x1cdcbbf3,
+    0x968c29f9, 0xfc0ef4fc, 0x7fedaff8, 0xdf62fa83, 0xb29a9b52, 0x1fa77ff5, 0x375a5589, 0x22b0435e,
+    0x79a14bff, 0x612d529c, 0xfe7e25a6, 0x591067d2, 0x5197f9c9, 0x2999b155, 0xea05b3e3, 0xb05660be,
+    0x999dc4a5, 0xa02bca9d, 0xe770f3ef, 0x59277322, 0x88b43f43, 0x2cdc9aad, 0x72bea68a, 0x10df8016,
+    0x71d9dd43, 0x60068939, 0xb4aaa421, 0x8e6c0b15, 0x7f855dda, 0xee1fb61a, 0xbd9c62c5, 0xb03f2742,
+    0x219c4c1b, 0xf7ffc5b0, 0xb7f2c6a9, 0x96b9a6e2, 0x7cb84ce2, 0x7c34ec81, 0x63e8123c, 0x54ce6ca0,
+    0xfc876178, 0x8fb485c0, 0x9ba08d07, 0x4e77d700, 0xe8ca7615, 0x175522cd, 0x9721009a, 0x2a5889d0,
+    0xb3876050, 0xea4f6a00, 0xcd345a06, 0x710c90a4, 0xc3d9ec9b, 0xfde19634, 0xabcdcdf4, 0x6fafe252,
+    0xb2781d66, 0x4ae86021, 0x57ee0366, 0x22ef3fb0, 0xc8895446, 0x335cd509, 0x9e9e97e0, 0x45eb6751,
+    0xa7480f3b, 0x9e5f7980, 0x3988a9d2, 0xf9f0b7d3, 0x273449f3, 0x3369076a, 0x8f7cbc94, 0x7d04a367,
+    0x9db3fa33, 0xbc988430, 0x6517df43, 0x7f6c36d7, 0x74c5cea6, 0x20406967, 0x52da783d, 0xb227b92e,
+    0xf7e8db1d, 0x93e054e1, 0x6cc19afb, 0x51c7f90b, 0x2e2f89a4, 0x6f5ccba1, 0x4a86bf2c, 0x1e778cb0,
+    0x06f30edd, 0xfb5e612b, 0x20676e8c, 0x1400700a, 0x552f2e45, 0x5d533815, 0x2d7aa0cf, 0x783c24fa,
+    0x2524e1de, 0xe83aaf71, 0x768bd459, 0x30043777, 0x52ae975c, 0x2bf724ad, 0xfad9188e, 0x6dc7a4ec,
+    0x85d6a595, 0x25726ab8, 0x585bd3b0, 0xb3f07579, 0x46e5c982, 0xd9ddc29d, 0x2530d989, 0xeaee6e59,
+    0x47bced70, 0xc5ffe130, 0x587be4e8, 0xc2caf383, 0x14c5690a, 0x9f9a4fe4, 0x62524606, 0x012c1f5e,
+    0x7c24300c, 0xc6d8a395, 0x502fb9a5, 0xe353ffd9, 0x296a6538, 0x4e331330, 0xbb4b94b7, 0x41f02a3d,
+    0x45aee9f4, 0x936b4611, 0xa163452e, 0x4457a29a, 0x62684215, 0xd2b79f21, 0x65ed8145, 0x28de8100,
+    0x98e5c027, 0xf78099da, 0x30ae39ca, 0x1c0a5dcd, 0x8ff8c7e6, 0x06472e7c, 0x5804e15d, 0xcc72e942,
+    0x49cf1bd4, 0x84ec36c3, 0x7772fb84, 0x1bb4117b, 0x99e26fc0, 0x53372c9d, 0x06f39e05, 0x654a4a3c,
+    0xc4ee862c, 0xa1d2203d, 0xf4a41f55, 0x1e0f02bf, 0x848e8621, 0x909b8512, 0x127ae9ce, 0xcca601c3,
+    0x0b086c67, 0x0ac1bac6, 0x7318cb86, 0x575e937b, 0xc9741b24, 0x1a2f7672, 0x0a5f901e, 0xf4b6548b,
+    0x3f0bf61f, 0xf95a5c57, 0x6c94096f, 0x77d5eed1, 0x8148f1a0, 0x48e1b5dc, 0xc027a13b, 0x588efb12,
+    0x38df475c, 0x36560f06, 0x3cab05de, 0x18eef774, 0x7ad990b8, 0x53780b4d, 0x8df81bb0, 0x29f4b02d,
+    0x4662eb6a, 0x473de823, 0x20c2fbf1, 0xe0643e72, 0xf89574a2, 0xb8cc11a6, 0xf69cbb8a, 0x51bb0a47,
+    0xad22b774, 0xcc26e67d, 0x6c17b4b5, 0x928ac3b1, 0x960cdea9, 0x888855ba, 0xb86cb79d, 0x19c94f96,
+    0x6bb88741, 0xe824ed9f, 0x59ad83d1, 0xda8fb8f8, 0xd613f90e, 0x3b7594ca, 0x0e272fbd, 0x1ad175eb,
+    0x08133a68, 0x5a9ba2f4, 0x8908f866, 0x611fe254, 0xf0bc6ff3, 0x358a12c3, 0x89387cb0, 0x972c181a,
+    0xc163b3c0, 0x31e79f9e, 0xd3b3e6d8, 0x10fe18dc, 0x2c7563da, 0x5e61bef8, 0xa7ed4ac8, 0xd790c27f,
+    0x15283b33, 0x9fcd5a52, 0x76e022b4, 0x50dadc7b, 0xb28a7e5e, 0xe5dfcd3d, 0xbad23a46, 0xe422e4d1,
+    0xab228dc3, 0xf52a856b, 0xfe5cc25a, 0xfa11de1e, 0x1dd4db7e, 0x2e56eadd, 0x21912979, 0x6c69d4e5,
+    0x0035f0e9, 0x25a56c60, 0xc58547c8, 0x9742df41, 0xa13fcd85, 0xb86d3d9d, 0xf4907112, 0xa157798e,
+    0x4ab57bb8, 0x87ea615c, 0x1746f0c8, 0xdbdbd76d, 0x90d42aa2, 0x26607f02, 0x276e8ede, 0xcf6d11c3,
+    0xebdcf8e4, 0x0d23b624, 0x747795be, 0x253921f1, 0xd24aeb10, 0xc37f1e49, 0xa72d03de, 0x985f2ec9,
+    0x91d7a74b, 0x84a17473, 0x0e8f1c8f, 0xe6e936a4, 0x5cb82301, 0xc4812fd6, 0x85dd1266, 0xcd6ef23f,
+    0xfb2ff95a, 0x5599e533, 0xb099a831, 0x6759add3, 0x5d7eabde, 0x913bb41a, 0x27aa25a1, 0x29cfbad7,
+    0x69862296, 0xdc85df33, 0x1db64c42, 0xe9615099, 0x6741ad79, 0xd73aa37b, 0xbf8c79d2, 0xd492a401,
+    0xc9db2aeb, 0x2d4f531d, 0x1cd8cd4c, 0xf675dec9, 0x6fd92319, 0xb6854c45, 0x64c67e6b, 0x3d2e6ce3,
+    0xc869512e, 0xac25141a, 0x3d0dcf72, 0xfdde6dda, 0x9ff8d108, 0xe317ef71, 0x83069e62, 0xf5a3c631,
+    0xd1e78d08, 0x09b33c46, 0xb921e442, 0xd6a988d5, 0x53d15667, 0xe4f05367, 0x7ec85b0a, 0xd280e725,
+    0x2f9102d2, 0xab3938b4, 0x49fc6576, 0x4e70fb94, 0x94abd895, 0xeb103b31, 0xbdd3bbff, 0x2a0a7f56,
+    0xc5914f30, 0xd3a492a1, 0xa77abc9c, 0x4ade7464, 0xbdc3c239, 0xa0a8f1c1, 0x5df962f5, 0xe1efe20c,
+    0x630d6a3e, 0x5c05e8a3, 0x462b893c, 0xa5154989, 0xdb8f9659, 0x17a488de, 0x45f985e1, 0x3cc72039,
+    0x138accb9, 0xd4a31ca0, 0x95257a40, 0x881a86e3, 0xfadc0931, 0xca67beaf, 0xba535bc0, 0x1c2fe5d8,
+    0x024677ab, 0x9d5836e9, 0x40e8bb11, 0x80921e82, 0xeab1e448, 0x3945de02, 0xf160f6c2, 0xa8065af3,
+    0xc119943d, 0xf6378142, 0x4a3129f2, 0xe0c18330, 0x27a0d51e, 0x796fcef0, 0x4ec97a2b, 0x9abb1867,
+    0x9fa729ba, 0xab152130, 0x1fecb607, 0x2a057f40, 0x8fa0f36e, 0x59ec4189, 0x0924d9c8, 0x77865b91,
+    0xc463c1ad, 0x22d6fb7d, 0x0910ba24, 0x385bdce3, 0x5ec48f74, 0xe3847cbc, 0x76baea18, 0x6e496cef,
+    0x41db8222, 0xe3e767f2, 0xcc42124a, 0x1dc633b0, 0xa1b94e0a, 0xc344819a, 0x936f5e1f, 0x500122fb,
+    0x957dbeff, 0xbf7c194a, 0x1674524a, 0x2323b5d1, 0xa6d903cc, 0x817ab620, 0x51e659ba, 0xbd1c7353,
+    0x976d1d2d, 0x2dbe8f87, 0x3c7592c4, 0x71de24c7, 0x6fb13682, 0xc70231f3, 0xe0f2403b, 0x398d96d9,
+    0x62a69a33, 0x620a6351, 0xf0f2f9ae, 0x6788cf33, 0x64c5f185, 0x9cd9ca04, 0xbb9b3391, 0x394e0bff,
+    0xca611ff0, 0x9a1b9e47, 0xebbddbbc, 0x7e51a5c0, 0xe74a2c0c, 0x82c1b414, 0x38505114, 0x6c7b4a8a,
+    0x00e7cd6d, 0xb3b2df78, 0x89726eb2, 0xd2ea4e96, 0xa22885d4, 0xa98d9aa5, 0x72d88640, 0xcad86d00,
+    0x26038f42, 0xf255ea77, 0xa05c7b32, 0xf4d09aee, 0xc05b4e07, 0xb41cce71, 0x557c0ea2, 0x34a04e6e,
+    0x81c23dbd, 0xbcead299, 0xe6542f6d, 0x979d6b3e, 0x93392e3c, 0xaea3780e, 0x0929ee30, 0x842b77ff,
+    0x27521ce8, 0xcb09e3a2, 0x3c53a5a2, 0x455dea41, 0x280b46b1, 0x9cc49231, 0x062268e1, 0x3d9c592e,
+    0x2598fb96, 0x877dfe70, 0x19301d18, 0xb779a97f, 0xc7652aea, 0xb66173b1, 0xace6b2ff, 0x4a693df8,
+    0xb02e404e, 0x75ad097a, 0x9ee319a4, 0xb1ee5556, 0xa978bae5, 0xa717cbf1, 0x735bef39, 0xe57295e9,
+    0x98da5b3e, 0x0eda49cd, 0xf5951de1, 0xf3b7bc0b, 0x27fa21fd, 0xab5f249e, 0x2369e2b0, 0x82b1f2ad,
+    0x8b07964b, 0xf1f08c2c, 0xbb479de1, 0xf89c3e90, 0x60962807, 0x2d2ea15e, 0xecf402eb, 0x300c9b77,
+    0xf99c2d79, 0xb8452a44, 0xf3a46c6b, 0x6661107b, 0x522452e9, 0x5be08ec2, 0x7b7c38e0, 0x9b8d270c,
+    0x24480e3e, 0x519567f6, 0x6d197a89, 0xd69c7793, 0x9476fdfb, 0x6b51f2e5, 0x0ef7ec28, 0x47a7b232,
+    0x9b36a7fd, 0x2c084e63, 0x0bfd1051, 0x52f9aa4d, 0x75b88c17, 0xd112b210, 0xee3783aa, 0xec886d50,
+    0xd3925cbd, 0x78d892dc, 0x93fecd82, 0xb76b360f, 0x2193dade, 0x1401fa9c, 0x8ba22f43, 0x23ccf348,
+    0x0d80547c, 0xd09a1fd3, 0x4b641ca8, 0xa12969ff, 0x616ca623, 0xb1568414, 0x622dc0ca, 0x8be12da0,
+    0xe145bb4a, 0x32f87979, 0x47c380b2, 0x4c6db423, 0xaf8ab170, 0x86db677c, 0x83c0bcb7, 0x81ad7377,
+    0xa0219aa9, 0xb8a98869, 0x0684bb63, 0x172687b1, 0x63e86532, 0x6d6d5e7e, 0x93e3a6e6, 0x6538d457,
+    0x8adf35ef, 0xae17eb9a, 0x91e6d7f1, 0x01e43a29, 0x1c949a8d, 0x13a67b76, 0x6fa5062a, 0xc77d68de,
+    0x00000000,
+    0xe9dd51f2, 0xd06650fd, 0x082e7859, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f,
+    0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000333747974362642200\
+                         37422214158899251790667258161822699530422525122222183215322508594108782608384 */
+  { 0x00000000,
+    0x202ab996, 0x264d9de3, 0xa89303a6, 0x360bf06e, 0xe6405e0b, 0x24090267, 0x80346c6e, 0xd8829806,
+    0x959a537c, 0x44b53f3a, 0x92caeb39, 0xc75d4862, 0xec936715, 0x90c42b4f, 0xeb17ce0b, 0x62d23533,
+    0x0cf5cb24, 0x2840216f, 0x55025087, 0xd3b1dbf3, 0x15b0011e, 0x79b5521c, 0xcc168aa3, 0xef1d7517,
+    0xc2053711, 0x157ce917, 0x5e65f848, 0x55b9be48, 0x8b7095d3, 0x0917c944, 0x1ec90d72, 0x86d54fa0,
+    0xda910676, 0x25542c8e, 0x6454fb8a, 0x4c05d15e, 0x6744962f, 0xa8dd2042, 0x5e059112, 0x2b595901,
+    0xdd7e9c72, 0xd85f77fd, 0x59499da5, 0xcb9077d8, 0x9f6d6fdc, 0x8a6a0462, 0x0a309040, 0xade46c40,
+    0x57b0ca2f, 0x1a2d2a84, 0x69a20222, 0x28dca56a, 0x828e9e66, 0xc6238548, 0xe3540d52, 0x804429a3,
+    0x3212e1bd, 0xd69a2827, 0xa7d13574, 0xfeb6aa9a, 0x0beba856, 0x3ad3457a, 0x6c18f89f, 0x8a8131ff,
+    0xa1e1fcc7, 0x2d51657a, 0x98798075, 0x7fbaa6ae, 0x2abe104e, 0xa7f5a80a, 0xfab9170f, 0xb82bc313,
+    0x58274a9d, 0x55d52c1c, 0x8c0101ba, 0x43910207, 0xe3bba60c, 0xf6be6102, 0x9e65491a, 0x98cab107,
+    0xc72c12da, 0x2ae188b6, 0x90f2305d, 0xe59e903a, 0xa8f7c622, 0xb3ab04c8, 0xd17e719c, 0xc7cc5002,
+    0x423b8466, 0xa197d87d, 0x53d79705, 0x5a9ac0d6, 0x3e1d4d64, 0x24c8d68f, 0xf06b0625, 0x15805e7e,
+    0x17e8a545, 0x3c5116a8, 0xf49cff52, 0xd24f8321, 0x94a97744, 0x907ac897, 0xbcbb7415, 0xaa3102c8,
+    0x498698ae, 0x17207ab7, 0x053b6c79, 0x63cba557, 0x15971003, 0x966c4e35, 0xfd51ac38, 0xe32845dd,
+    0x461ef103, 0xbd72f74d, 0x545d380b, 0x9e44f467, 0x465be195, 0x655f9f46, 0x91706481, 0x4f0af61a,
+    0x555bc027, 0xc408c3f8, 0xecd5f80b, 0xf9d9491e, 0xc9226afd, 0xa943f20b, 0x6f80f96e, 0x26271e11,
+    0x938bc7a8, 0x61e324ea, 0xa20cb902, 0xc1db5dad, 0x5d481932, 0x1663f633, 0xf1c0df53, 0xbf9378ac,
+    0xebf2a5af, 0x8551b462, 0x647af48c, 0x493c1d53, 0xfd046332, 0xb10a3b39, 0x45c0516f, 0x601e052d,
+    0xe7e30b7d, 0xe640bf14, 0x4e91ef1b, 0x6f26ceff, 0x71c3bb7d, 0x3a4f790c, 0x52a309a5, 0x19dd966d,
+    0xb3826447, 0x77708993, 0x74abb9d1, 0x015514f7, 0x1bdcb087, 0x061071b2, 0xcbf515d2, 0xf92a0b69,
+    0x80001a07, 0xbf0573c0, 0xd8383592, 0xb9199e98, 0x421ead7c, 0x92938a09, 0xcd996f68, 0xf3f99042,
+    0xac785185, 0xad91313e, 0xd092f9df, 0x0f60dda1, 0xb9dfdb3f, 0x98a007ce, 0xfcc8ac21, 0x532ab8df,
+    0x378bbec9, 0x97ab8cce, 0xa864fa49, 0xa46bddc9, 0xefeddc34, 0x2f3754b3, 0xc9108ff6, 0xff4e5783,
+    0x1d9ceaa8, 0xab9260cd, 0x9edb9191, 0x8f332352, 0x41c76bff, 0xb437c11d, 0xa5c87dd6, 0xa9b54966,
+    0xbf3aaa00, 0x2cbb2f8f, 0x6e59685e, 0x0b81e0bf, 0x41363685, 0xa0922ad7, 0x7de7d148, 0x65d3290c,
+    0xc282f5dd, 0x6f1422e2, 0x308096e3, 0x527e3ace, 0x90c8eadd, 0xfcbca68f, 0xbb385a18, 0x5df625da,
+    0x20faaa4b, 0x120bdf6c, 0x772b2c54, 0xc4f78c7f, 0x2c5fcb7d, 0xa4233c86, 0xe73d85c9, 0xf72f00dc,
+    0x145075c1, 0x619a8bc7, 0xf1595bb5, 0x909cb221, 0x039cdf74, 0xa31c5003, 0x291c1143, 0x4b4c6341,
+    0xfc064afc, 0x4dac87a1, 0x1102015a, 0x7e812450, 0x202735e7, 0x99b2377b, 0x58ea9b62, 0x8ba0ce8e,
+    0x39cfc57f, 0xc7e8cd3b, 0x4f96cf0a, 0x58bcfe7a, 0x5eacd66f, 0x69f12273, 0xe03cfa31, 0x057f8034,
+    0x705e613c, 0x27c81c31, 0x0899f67a, 0xc0c659fb, 0x04a0d5b3, 0x16129645, 0xd056d129, 0xe1edf331,
+    0xbe5c8c6b, 0x92e4e8b8, 0xd6bcdb1a, 0xc2279dc8, 0xfa56e66a, 0x589d06b5, 0x72877ea5, 0x65e25236,
+    0x322d5a02, 0x0e21b1a1, 0x78bab863, 0xadf74649, 0x93e581d2, 0x2e1adc26, 0xcdddd09d, 0x60844a78,
+    0xf93cad0f, 0xda4e9d3c, 0x6e615591, 0x3391b76c, 0x1da27770, 0x785b00ab, 0xac078ae4, 0x134ea8f4,
+    0x044f2b5a, 0x5cf272f0, 0x28e3268f, 0x8844e929, 0xc51bde7a, 0x07d633f6, 0x307d4099, 0x4215546d,
+    0xf7ada2e5, 0xceb1ed54, 0xbddcf695, 0x4c2e786d, 0xa1db9597, 0x4e2d382e, 0xa758655b, 0x9b142789,
+    0x05e6d583, 0xfeafd5b4, 0xf666082a, 0x55cf85c9, 0xb7ca9c65, 0xf58f4536, 0x47a73f1f, 0xd147cce4,
+    0x4bb4d985, 0xf2b9faf1, 0x15fab851, 0x6b4794a7, 0xc5ca5918, 0x57ca3b40, 0xfb38a15e, 0xb6fa1f48,
+    0x3efc5fde, 0xf1fea452, 0x28d4f0c4, 0x3a293729, 0x4d5753a0, 0xf9302bce, 0x772e6672, 0x4c6c63a6,
+    0xda8207cd, 0x073e3244, 0x00ecc091, 0xbe7ea9b9, 0x6463d2f0, 0x9883c089, 0xe31d0523, 0x65bbf82a,
+    0x3d7ec2ef, 0x8337ded2, 0xbf54611a, 0x461c1be7, 0x3e2d76e5, 0xefe04f51, 0xe1c54a64, 0x31938a42,
+    0x050ba596, 0x4af52fc3, 0x30dd60b7, 0xe3307306, 0x18ebc293, 0x0ae98553, 0x73366adc, 0xab95a983,
+    0x194772d7, 0x947d1b04, 0xb7f2065a, 0x40dd32e3, 0x1f6badda, 0x65f76762, 0x2b512e42, 0xab64e20a,
+    0xf5f077db, 0xfe777902, 0x6a17f37d, 0xd233f111, 0xa9e4afde, 0xb5bf1466, 0x8a949633, 0x0e3a0b2d,
+    0xb54003b2, 0xe279ef2e, 0xdedc756c, 0x9a4712bb, 0x34c25779, 0xbd4c24c0, 0x7fab516a, 0x29dc0c70,
+    0x6af8d2d8, 0x31a613bb, 0xd5071946, 0x8a0b0d9a, 0xf344908f, 0xa2e19038, 0x4e1784d1, 0x25bc8cd8,
+    0x41835d7f, 0xa27ab66b, 0xbf3aaa4a, 0x27c16854, 0x086ae5c9, 0xa24f94fc, 0xc9c38047, 0x42aa5e7c,
+    0x02940e27, 0x4cced9dd, 0xd68c1892, 0xbb6adb8b, 0x2a874c78, 0xee49f9ed, 0x63db7bf6, 0xe85fd3f2,
+    0x0326af59, 0x9cb7008d, 0xdc5cb30a, 0xbba21453, 0xdfb08771, 0x77468f82, 0x64567b75, 0x78437a7a,
+    0xe77bd09d, 0x7ece7009, 0xbd00e448, 0x1d7501f3, 0x43eeb884, 0xe3acc693, 0x04eea31b, 0xaae30d72,
+    0xd9f965f5, 0x5650e925, 0x83de1221, 0x0124dee0, 0x2eb929b7, 0x77827416, 0x6bb9095a, 0x9dd0d4d3,
+    0xd8f03f33, 0x3f01f60c, 0x797993b0, 0xefe35d5b, 0xcba5e15f, 0xebf66902, 0xdd96544c, 0x82cfc750,
+    0x2a766824, 0xc2529031, 0x9a740828, 0x9a5543bf, 0x78f6086e, 0x08ab7fa4, 0xf1d86461, 0x5ceb3bd4,
+    0xd8dba742, 0x24f8de4d, 0x2fd9651a, 0x3a6ba18e, 0xe0cf2409, 0x8c8a7c0b, 0x55565250, 0xdbb411a2,
+    0x0da10d5a, 0x38a1babd, 0x30e4129e, 0x95a6e204, 0x526a0b64, 0xf73baec3, 0x9de03a4f, 0x7d3020b4,
+    0x1d12f62c, 0x5ac4b493, 0x4b6de2f2, 0xa914eccb, 0x4312392f, 0x573bd938, 0xa016df49, 0x8af4b3b2,
+    0xb3849381, 0x82414175, 0x2e19133a, 0x8ef2a456, 0xe1ac8641, 0xdbab4528, 0x0984bc05, 0x7c826c2b,
+    0xb4b11719, 0x1860aeba, 0x8995e08a, 0x5131a515, 0x854964eb, 0xfe481f6a, 0xf8f01d5f, 0xe1c28949,
+    0x6660854c, 0xa0c4bb9c, 0x09f0a504, 0x3766779a, 0x74909cca, 0x1fac36b9, 0x2a8744ba, 0xbf8eb6aa,
+    0x6cc5ebda, 0x817cbab7, 0xc6abad19, 0xcb995f27, 0x83e90cc7, 0xcfc40631, 0xa9f17b56, 0xa49de267,
+    0xeef994f8, 0xcb1eb1a5, 0x4873f20d, 0x206e45a7, 0xed7e4c1c, 0xb6828094, 0xf6474c9a, 0x883a8b51,
+    0xe67fc06e, 0x617c3ee0, 0x20daee4a, 0xae55ea45, 0x8de8e441, 0xc6ecd8af, 0x1b42c2ad, 0xe41b4a38,
+    0x10564c8e, 0x6433a405, 0x7f9a9399, 0xe186c33c, 0x847a2512, 0xf84b7219, 0xc6eeadbf, 0xbb63c047,
+    0x977fc24b, 0xe42f66a0, 0x3effa31e, 0xbd70bbfa, 0x8524ca8a, 0x7b57105f, 0x533805f5, 0x71e99150,
+    0xc2b5a6eb, 0x129e9561, 0xaaf96e46, 0x2b3bc0e2, 0x9b7cdb42, 0x523ab31a, 0xa509599a, 0x80b182b5,
+    0xd1648f26, 0x0412f41f, 0xac357d9f, 0x2a856723, 0x2be5686e, 0x6f8c537a, 0x7f3d4a81, 0x3d14b313,
+    0x1d59eb17, 0xa6dd19b9, 0x91082065, 0x17c04ca5, 0x181241fb, 0xc420a442, 0xe7b2d314, 0x81c68473,
+    0x86f68256, 0xabab2a73, 0xbeadbce7, 0x0db86a07, 0x3022c565, 0x1abc4b0a, 0x505a336e, 0x521c582d,
+    0x5c01ef32, 0xbeb9c49f, 0xc412b0eb, 0xd1e06488, 0xe4bf0aa5, 0xc249aa2c, 0x8a9bb5ac, 0x584361c7,
+    0xa290c192, 0x684de239, 0xce57cfa6, 0xfd71a286, 0x31306c41, 0xeaa2f4a8, 0x31b7bd0e, 0x41f323ac,
+    0xb5125936, 0x4f989574, 0xdc17a874, 0x34513e94, 0x2de9d5b6, 0x6a704530, 0x4f208875, 0x3623c1ea,
+    0xf9227d43, 0xe17ed47d, 0x586adcc5, 0x2b14e7fa, 0xdda3dbc8, 0xc2e36646, 0x040b7fc4, 0xd1d764e9,
+    0x7e6d235d, 0x6a8c1ab6, 0x9a311bdf, 0xd0309c4a, 0xd65ea3f6, 0xfb7acf6f, 0xd9cce51b, 0xac9509a2,
+    0x4cda2b66, 0x0969cb41, 0x2c7c8ed6, 0x0ae439a2, 0x998bae6f, 0xb983d6a3, 0x17c066cb, 0xc21ef946,
+    0xf00ce81e, 0xbc141592, 0x3368b7ae, 0x1c2b2177, 0x72cf46dc, 0x138f7bd7, 0xc515ac62, 0xa489d5a9,
+    0x4c88be9c, 0xa85f80ab, 0xec186516, 0x04c9246b, 0xfd72bc23, 0x00f14c3e, 0x68f31fc4, 0xc06094e0,
+    0xa8d83fc5, 0x7da3edb6, 0x79e400bb, 0x580cad57, 0x9d2542fe, 0xa14c9b6a, 0xb3d64c0c, 0x833782d1,
+    0x273c283f, 0xc109c262, 0xfdbbad79, 0x7cb4bb01, 0xda191d88, 0xdf650385, 0x7de2e401, 0x428ecf5f,
+    0x1361518f, 0x219ef36c, 0x61856853, 0x6b5e23df, 0x6bbcaf8f, 0x551bd9e2, 0xa928af41, 0x725254a8,
+    0x0ab9f3ac, 0x08486451, 0x723070b1, 0x76d681fb, 0xe936eff4, 0xfd7592a4, 0x5a7e3e57, 0xf3aaa0e3,
+    0x2a54400a, 0x64be87c8, 0x96cb3a1a, 0xe2b14e1b, 0xa661242f, 0xe28f6f1a, 0x4e0c3619, 0xe7bf79dd,
+    0xea3dcbdc, 0x2f6fccca, 0xffad78a3, 0x4e12e2db, 0x2633eecc, 0xc37449fb, 0x48df14e7, 0x5fdf17e6,
+    0xb4b2659b, 0xfb5966db, 0x337c7e14, 0x0f1941b6, 0x89a6eb67, 0xbfa6b5a7, 0x2a1faff7, 0x07417ab6,
+    0x0e63b720, 0x9c99dc68, 0x5009baf5, 0xc2491113, 0xd9678f65, 0x73e2f555, 0x409bda4b, 0xeafe5a69,
+    0xa7d1bfef, 0xa84c7956, 0x04663420, 0x0f7455e6, 0x3ed45648, 0x2bce6e97, 0x293a5471, 0xc4505b66,
+    0x189d2bed, 0xfe273054, 0xb6614208, 0x9a851613, 0x9222f9b3, 0x2ed54168, 0x4d4d5570, 0x34ba73f7,
+    0x0d7efbcc, 0xdc8c4b11, 0xf8ca6880, 0xbf0391c8, 0x20491206, 0x8fe10705, 0xd542008b, 0xac1a0a24,
+    0x3eb3f8fa, 0x4826aa0d, 0x329315e1, 0xd127748f, 0xb0a2d509, 0x8ab3ee48, 0xd4d7da27, 0xa70bd21a,
+    0x83dabf54, 0xfd6c7340, 0x92e1de17, 0x24c3ba55, 0x88ad986d, 0x4bf71e25, 0xaa7b9b3e, 0xc75ad382,
+    0x1484b274, 0x455e3037, 0x4c0347b0, 0xa9a3bda7, 0x255c4fc3, 0xd6876d98, 0xf9b923f5, 0xa4b1f606,
+    0xcaaf6dbb, 0xe992baaa, 0x8721ebe5, 0x4ebb9cfa, 0x2e39ca52, 0x7800c914, 0x14860524, 0xda0a2071,
+    0x09b6a732, 0x6058d902, 0x360520b5, 0x6d431e7a, 0x012eb436, 0xd26a4561, 0x99d71ed3, 0xb74963f7,
+    0xf4df4d0e, 0x8b883521, 0xdbe3ccd7, 0x3c8d2f80, 0xa2f085f1, 0x19f45222, 0x884d0851, 0xc54ef665,
+    0xfa684cf9, 0xbaeb275a, 0x2ca63234, 0xa60f4efa, 0xd4f9c783, 0xd147143e, 0xa6728a81, 0x5ac22395,
+    0xf0cf59a1, 0x3ed47e99, 0xf633e1d4, 0x913d851b, 0xd363be57, 0x6dab7ff9, 0xeb4157ab, 0x86988f96,
+    0x76c5883e, 0x27d1a080, 0x24dcb604, 0xebfa9dc4, 0x9d325d37, 0xb2028f77, 0x3c105717, 0xe7247980,
+    0x0812c6d0, 0x2411919d, 0x5aa82132, 0xfd296b7e, 0x2ec25c05, 0xd25fb185, 0xf0cc82ad, 0x3398ef2d,
+    0x09787603, 0x3ffbc14d, 0x40c84000, 0xcc3d09b6, 0xf30492ec, 0x860a1960, 0x5644769e, 0xc9d4f94c,
+    0xee37c565, 0x5eb3e3b0, 0x2d9d5614, 0x694cd369, 0xe630cfa1, 0xb3d095ed, 0x552b0383, 0x3901fb75,
+    0x1399af9b, 0xe014030a, 0x2745fa18, 0x0b7771fc, 0xce6da92f, 0xdbcc199c, 0xea1d18e4, 0x087c656c,
+    0x4cfb3a77, 0x40cf4fac, 0xdd63d0ae, 0x7b926972, 0x68b75ac5, 0x7a9d3f2d, 0xdc92a2c2, 0x2b272be0,
+    0xb1eaa134, 0x7256fb5b, 0xe4593522, 0x159e6fbd, 0xe90691ba, 0xa3ef8ecd, 0xabb21835, 0xf0d75123,
+    0x59ac5dbe, 0xe06af31e, 0x76c065a8, 0xd4c17f91, 0x2953fb3f, 0x5207ff18, 0x407faf62, 0xd4dc5c6d,
+    0xa042ccd3, 0x984de7f2, 0xfc9bc4ca, 0x11919054, 0xb7c1f890, 0x46b944c3, 0xef726d4f, 0xf1793e6f,
+    0x5f304f5e, 0x6e69ab44, 0x9f3961b0, 0x64ac59f0, 0xb95c9b1d, 0x53cde24b, 0x5ad5655b, 0x9ab62d2c,
+    0xefbe4498, 0xe2b7ca16, 0x96131ed1, 0x8b7c300a, 0x3958adbc, 0x1cb50e96, 0xe72c03ee, 0x4bbb5b7f,
+    0x4589f38d, 0x43901d36, 0x8fae48e0, 0xdbe06a9d, 0x0f449dc8, 0x7120c020, 0xdd880c10, 0xee36f9a8,
+    0xbe070fe5, 0x08c46a32, 0x516896c0, 0x320a66fb, 0x8110dfa4, 0x7dba0530, 0x40fa6ad3, 0xf075f334,
+    0xb1fc552d, 0x558a9cb6, 0x84bb43d1, 0xff55bd7f, 0x3769b68d, 0x36617fe8, 0x82e16b7a, 0xbae37c71,
+    0xf7336bcd, 0xa8a7ee67, 0x2b6b3ab4, 0x9adfe1cf, 0xd93a2cca, 0x1fed0459, 0x1e21fb96, 0xf9738085,
+    0xf0ae14d6, 0xeb85baa8, 0x8d8656ea, 0x84259106, 0x62cdd960, 0xf08a3af2, 0x8b2db739, 0x99b34a7e,
+    0xd608fbdd, 0x505193e3, 0x67f59bde, 0x22c3744d, 0xcac65da3, 0x1d7eb26c, 0xc9dd086f, 0xb7d054e7,
+    0x8b530e9e, 0x7d1f5748, 0xcbd0ab70, 0x552e7415, 0x25beb6c2, 0xf71288b8, 0xc90a7e94, 0x2ffdcf71,
+    0xfcdecf01, 0x6c413144, 0x97a40164, 0x57b73129, 0x968386d2, 0xedab9d91, 0x792d9e74, 0x4631777c,
+    0x37fbd7f2, 0x7f4c5ec5, 0xf18aac29, 0x2df6a666, 0xa7aefcc6, 0x8e73248b, 0x7c823895, 0xe02fc877,
+    0x65133ad5, 0x05f0a979, 0xe3153842, 0x386c8c98, 0x903a7d5e, 0x86ccee95, 0xf1c96f86, 0x09988140,
+    0x0f92a77f, 0xa2b94728, 0x2954bb09, 0x468fbcff, 0x61ea72a2, 0x8e98c63e, 0x85807a2c, 0x68038e46,
+    0x0a6535c8, 0xc8bda5b6, 0x8282befc, 0xb8fe60ad, 0xd8721bf8, 0x0124568b, 0x22aa57e8, 0x8819feb3,
+    0xe3f782a7, 0x51b16aa5, 0xba9b78e2, 0x691f22bf, 0x8acb4dd9, 0x72244757, 0x1032181c, 0x23e11777,
+    0xcb29163d, 0x6783a1a7, 0x1fbd048b, 0x5cbcdf00, 0xfba6242e, 0xa75d296e, 0x4636d7c7, 0x93234ed8,
+    0x9cfff4d4, 0x664cd81e, 0xf2cad287, 0x9381abce, 0x41fece00, 0xee979b8f, 0xfd60a10b, 0x843f4168,
+    0xf0c37dde, 0xa986a9a0, 0xd08494cd, 0x7eab0734, 0x09477613, 0x1345d7a2, 0xf89be7a5, 0x8f81d223,
+    0xeb9b4bb8, 0x14dcb5dc, 0xba81787b, 0xd9d7b7c3, 0x424c10cd, 0x2467dce1, 0xebceb223, 0x2d6b3696,
+    0xbca18c66, 0x13cd770b, 0xd92b38a8, 0x476493fd, 0x2ea264a3, 0xd6a66b4e, 0xcf1e0d9a, 0x10f7e00f,
+    0x5cb66b32, 0x3fe3c420, 0xc586ea73, 0xc7dca7ff, 0xc932b88b, 0x6891bf5b, 0x33165466, 0xad563c47,
+    0x775a6f9f, 0xad501ce9, 0x9a2384ef, 0x4f2b0d4f, 0x4918bac0, 0x1c706892, 0x073a6b73, 0xe1fc446d,
+    0x00000000,
+    0xf4eea8f8, 0xe833287e, 0x04173c2c, 0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7,
+    0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000166873987181321100\
+                         18711107079449625895333629080911349765211262561111091607661254297054391304192 */
+  { 0x00000000,
+    0x7555d3b9, 0xd323b59f, 0xd83ae1e7, 0x2655a7d0, 0x8311fd30, 0xd71e3a89, 0xe2034aa2, 0xf283b36e,
+    0x21a8e155, 0xb399cf37, 0x6d90c67c, 0x9f80bff3, 0xabb39cee, 0xa11783f2, 0xa8a54242, 0x10d3d360,
+    0xe0e06b99, 0xa2045e98, 0x92ffa0e3, 0x005d7387, 0x52ed5923, 0x48d260b6, 0xf09574e0, 0x5d51f868,
+    0x7b0883d7, 0x13abf2be, 0xc123d33f, 0xa0fbc14b, 0x7218e564, 0x2c7ca0d6, 0x45bb7b06, 0xaf2ef7ae,
+    0xefa6b383, 0xa8b15d7f, 0x27cf352f, 0xbb928b24, 0x38241020, 0x3634e611, 0xe9a2e571, 0xf7b5a7e4,
+    0xcb66792f, 0x8e8f7030, 0x6eb096d8, 0xdb532f2d, 0xec363403, 0xa89ccfb1, 0xe8db06a0, 0xa27b1c5a,
+    0xb38a3116, 0x3ac1f237, 0x077e05fd, 0x9a5acb5d, 0xdad13c50, 0xd26532a5, 0xd50534d1, 0x355c893f,
+    0x8132f167, 0xd25af59f, 0x430ad7eb, 0xa13000d4, 0xd29a2dd8, 0xcb8a2f2e, 0xa2153289, 0x92e00f29,
+    0xd3756524, 0x10a0257f, 0x033f6fe2, 0xe4365101, 0x01b115c3, 0x6a4bc202, 0x1881b67a, 0x67627bca,
+    0x3a6b3934, 0xf8e1cc5e, 0xaddee06b, 0x3457da7a, 0x1966626f, 0x34810fe8, 0x9d1dd14f, 0x2977ff22,
+    0x9c6b9812, 0x5193890d, 0x19babb5e, 0x5d6189de, 0xeb520ae7, 0xf5ee2ed1, 0x985d9999, 0x02521153,
+    0x3b8bcef5, 0x55cbf6b0, 0x9caaeaa7, 0x78f4bf1b, 0x582ad381, 0xe156aa96, 0xf530f6ee, 0xeeaf1286,
+    0xc31e6e24, 0x57035bab, 0x8208517e, 0x04cffa02, 0x38eabb63, 0xfdcd0c89, 0xef6084a1, 0x62d5ec79,
+    0x5d501dca, 0x112eee74, 0x03f55151, 0x5b4bc292, 0xe21d4f6e, 0xac19ba36, 0xc462f601, 0x2b372d73,
+    0x043b846b, 0x8aa1a85b, 0x4a3c7446, 0xf41501aa, 0x9b137237, 0xacdc6205, 0x8d2e5eba, 0x66ca2fbb,
+    0x1260ed91, 0x2934cd20, 0x932506c3, 0x7d4100bc, 0xc5444f2b, 0x12a8dc6e, 0x616bf03c, 0x5514c0d1,
+    0xa70312cf, 0xcb565eee, 0xa39e5984, 0x8956beaa, 0x625902c0, 0x5bad611c, 0x3a0ea24b, 0xc1c60782,
+    0x416da767, 0x722711a1, 0xb0efa8ac, 0xe3b76836, 0x0d4d13ab, 0x4797d96c, 0x3c6af19d, 0xd983bf0c,
+    0x37a624f0, 0x1fad6e5f, 0xeab094da, 0x4d38565b, 0xf62df6db, 0x137e083c, 0x5decb078, 0x588a70a9,
+    0x1c1402de, 0x00e4066c, 0x3bdf2592, 0xda1cb563, 0xd541347f, 0x0b302b01, 0xbd1d0795, 0xc97d6760,
+    0x7e543f6f, 0xf6a1b5ef, 0x6dd5c6c0, 0x339da21e, 0xb8b3b7ed, 0x7e7ac999, 0xbd9ff275, 0x79728326,
+    0x4e16a946, 0xaee6a3d2, 0xc31fd85d, 0x912d2224, 0xd8a609f4, 0xb05d5ac5, 0xd84f03d6, 0x9786e887,
+    0xa6ee5b8c, 0x9190dd58, 0xbb0968b9, 0x4ec52c37, 0x7af7b8d0, 0x323af56b, 0x892b02e5, 0x39eda78b,
+    0x7a41395c, 0xd86fdf25, 0x9c72afbc, 0x2ce675f3, 0x0f5a200e, 0x89b65ecc, 0xb1d74e92, 0x6b615bf4,
+    0x7be74eb2, 0x761bba6d, 0x67cd35ad, 0x33b3d40d, 0x37b3166e, 0xd9712946, 0xc8097271, 0x05c90847,
+    0xa43bdaf1, 0x775914d0, 0x75b72ad9, 0x104995ae, 0x72211daf, 0xeba56a1c, 0x16f2064f, 0x66aad53c,
+    0xf3d33dac, 0x235684a4, 0x054b356b, 0xc7dbfac5, 0x9114f154, 0x16d5e96d, 0xdd66f9ca, 0x44abe0ef,
+    0x2e351797, 0xaf607a22, 0x052fb1c6, 0x5adaf8c4, 0x0d296f1c, 0xcea0a949, 0x54cfa09d, 0x1f14fa0e,
+    0x70be908a, 0x90dbaa58, 0xedc9f051, 0xe1b31531, 0xf7ef5ee3, 0xa38de706, 0x895baefe, 0xc4543393,
+    0x075cf3e2, 0x2bf5553a, 0xccc167dc, 0x5ef61e8e, 0xb5f2a138, 0x52b6911d, 0x5adaa0a9, 0x2bb0e0cf,
+    0x79503e90, 0x2cc217cb, 0xa6c94b1f, 0xe0466ed5, 0x2b97cd2a, 0x7fc0b1f9, 0x0b60d861, 0xe3a7511e,
+    0x070b5ac8, 0xf50f9c3d, 0x1f4928f0, 0x053ffd1f, 0xadcbd3f4, 0xa7533e63, 0x95c0c60c, 0x86530c57,
+    0xada125a9, 0x669919ef, 0x3e106ae5, 0xb803e820, 0xe89a35a3, 0xef8c4504, 0xd4ea5678, 0xffd9a3af,
+    0xd0adda9f, 0xc056a477, 0xb936e814, 0xceecf5f1, 0x5e1005b2, 0x5bdd5747, 0x86711a4e, 0x8c90bddf,
+    0x5c5e4381, 0x3dab7f88, 0x245f3c9d, 0x7ad5e40f, 0xce0a122f, 0xf3973eac, 0x905ce99f, 0x3ac18f8a,
+    0x039fd913, 0xa6d6165f, 0x2a3c8d92, 0x175ded64, 0xafd9065e, 0xfd00e05b, 0xf4594232, 0x0081d4c3,
+    0x7a77116a, 0x1e974ac5, 0x9bb45ab8, 0x1dadc5d2, 0x0adf0930, 0x60192e09, 0x19dfd5c9, 0xd3f94f63,
+    0x3b8f44a0, 0x2f0d65fb, 0x9cbd4ef5, 0xe4280fb2, 0xa0eb8209, 0x481a7668, 0xf01fa12c, 0x76b428db,
+    0xa05641c6, 0xf316f5cc, 0x0b5a0f48, 0xde9dbac2, 0x91f28002, 0xf0e11b71, 0x17b0459d, 0x4e789a08,
+    0xa0d91816, 0xaf532b10, 0xb32a7196, 0xbc4e2d81, 0x3569e103, 0x29aaaa2e, 0xd2b32041, 0xc76b1fa1,
+    0x53d945f1, 0x52f215cd, 0xebeaa4a9, 0x0053474c, 0xaa2a5e90, 0xd1fabf88, 0x50a49058, 0x59db053c,
+    0xaf42a4d6, 0xb2a672c3, 0xcced1955, 0x3c5084c6, 0x8b06bee6, 0x8f429068, 0xa183bee5, 0x0269b22b,
+    0x08018ecf, 0xae80eca3, 0x280ed83b, 0xcc1ce607, 0x8af33c79, 0x5272a2ce, 0xa031bb43, 0x51527da5,
+    0xc6766d4e, 0xef22d270, 0x6d1fe85b, 0x067d3353, 0x1d0cf2eb, 0x3c0b983f, 0xc65d3420, 0x0444a5da,
+    0xa6eaa9de, 0x04816c71, 0x2a60842d, 0xabc84c78, 0x973aca31, 0xb24ff077, 0xed8866a3, 0xc08701cb,
+    0xd3a10baf, 0x4d540d05, 0x33883949, 0xd2c628a0, 0x3b842e48, 0x10202662, 0x684c3098, 0xf49f347e,
+    0xe9ac5bad, 0xd17b63cb, 0xff18d1f3, 0xa8a2c197, 0xf610507b, 0x33e990dc, 0xbb36ce60, 0xd683fad7,
+    0x5587804d, 0x35748cab, 0xca96d92d, 0x74bf8970, 0x4f80b558, 0x5b734ea6, 0xcc37a7c3, 0x9c5ac2cd,
+    0xa1adc81e, 0x01d621a6, 0x368b5f1a, 0x6602ca97, 0xaeaf669b, 0x9539a684, 0xbb20a39b, 0x44d4f094,
+    0xcfb92f4d, 0x68ac5cae, 0x590019ff, 0xc325bd7d, 0x7ba63bf4, 0x8e98bf9b, 0x25260e8a, 0xcbdac929,
+    0x39742dad, 0x84376171, 0x0bd7978e, 0x918e327c, 0xc0e0565d, 0xa8c05311, 0xb07f1eb8, 0x818eb053,
+    0x22bae4b8, 0x4ed497b2, 0x7d28a999, 0xb1070d61, 0xb1e37d26, 0x859a5aba, 0x07690ac5, 0xc0fd3750,
+    0x7339fc7c, 0xb4b96dc2, 0xfeceb068, 0x3e2640c4, 0xbe0f4c1a, 0x207211ae, 0x98ef5112, 0x57732a6d,
+    0xd4b01440, 0xcd64a4b5, 0x3b2d1452, 0xb2e9da9a, 0x78211115, 0xe44ee9d1, 0x622f7c66, 0x52a72d70,
+    0x6634876a, 0xfe5ab2e8, 0xe16fc990, 0xaed93093, 0xb997e3b0, 0x8c1ab5bd, 0x93f64d0c, 0xed4ae367,
+    0xc0235d47, 0xa512ca69, 0x9476f6f9, 0xb9dc5d7f, 0x2f76f55c, 0xef07ea41, 0x4363b664, 0x97884929,
+    0x2f33e7d7, 0x7c701e91, 0xa5794f64, 0xa52c0625, 0xc98188f0, 0x6e0468cf, 0x8a04b9c0, 0xaa00c2cf,
+    0xac634a35, 0x3197f0a4, 0xdb2730b3, 0x7bb3292d, 0x8af20e55, 0x6d1c5ac8, 0x398baf72, 0x9871edc4,
+    0xa022f9fa, 0x466a95e0, 0x2aef3672, 0xbe2db7ef, 0x28fe3161, 0xd4518262, 0xd6cb55fc, 0xad7d3b97,
+    0x95285d87, 0x4edb1ff4, 0x07ebd423, 0xfe3bf09a, 0x945b928d, 0xe24406c4, 0xb8a2794b, 0xc87375a8,
+    0x2af22b32, 0x798cd642, 0xa89234e9, 0x2a890c43, 0xf696df2c, 0xd7e16694, 0xf7d277aa, 0xfc7dae15,
+    0x4fb6e1c4, 0x3d9830bb, 0xb38bb73d, 0x0278aadd, 0xb7a9c723, 0x18a70621, 0x4d23532a, 0x43548434,
+    0xf12d6fd0, 0xe815baab, 0xd2f52b06, 0xe3745d5b, 0xb33796b9, 0xffffdbab, 0xa220c91c, 0x6f73680b,
+    0x1c59611a, 0x6311f5d7, 0x961c5eb6, 0x3ba61aa0, 0x8cf88e58, 0xeb81884f, 0xf868877d, 0x648db23b,
+    0xd396bca4, 0x971f8eb8, 0xdaeaa2d7, 0x670279bd, 0x1a3985cf, 0x22a7d4a8, 0x515acea9, 0x2a4505aa,
+    0x8c94252f, 0xa9cbb8ec, 0x1c6d4c32, 0x4e86a073, 0x0d38af19, 0xabc671ee, 0xd2d8ea25, 0x728f8f5f,
+    0x6ae80c20, 0xd32f2204, 0x2887f7d5, 0x54097cdc, 0x1e6c1d1c, 0xe3c37581, 0x5b28da32, 0xd5d61e15,
+    0x9d297791, 0x34f1e4a2, 0x2d8debfb, 0x285cbe9d, 0xeb4e8f05, 0x6b9db4c2, 0x1cdff311, 0xc61ca0fb,
+    0x00b76442, 0x44e7740f, 0x373607e8, 0xa2f44397, 0x57cb549a, 0x26812b9f, 0x363c4a47, 0xa7882bee,
+    0x62795795, 0x12361ae1, 0xf6d924b8, 0x687bfd68, 0x391c5d15, 0x6c768d42, 0x08da0826, 0x060daa17,
+    0xb75b9ea8, 0xc9ab01e9, 0xa8e82bd4, 0x60f50807, 0xeac9d611, 0xa5a2d5d7, 0xc342d6ca, 0xfaf75e04,
+    0x89bc5606, 0x0794c173, 0x9b1119ad, 0xdd1677d2, 0xd7ddf4df, 0x2e341fbd, 0x4fccad0a, 0xf4235b7d,
+    0xb26aa209, 0x7fa3d2db, 0x84faf83d, 0xec173662, 0x0754a76d, 0x3d6f44a0, 0x928b9359, 0x196b707a,
+    0xa639e3e2, 0x8045b8c4, 0x82484f14, 0xc088aac5, 0x0e3db15a, 0xf9743be3, 0xc08d7dd7, 0x718baab2,
+    0xab16e9c7, 0x3ba8a4bc, 0x9eaf6953, 0x66f78be3, 0x72526d1f, 0xa60ad0e7, 0x5bb59a37, 0xdd696691,
+    0x0e5098b5, 0x60efc5a8, 0x434b6bd6, 0x60bdfbc9, 0x1da6e127, 0x6427091a, 0xd289eeda, 0x51f0db5c,
+    0x0db7408d, 0x4967eda9, 0x78be6571, 0x9d8df5c2, 0xa4959e72, 0xffc9c902, 0x9ba8e081, 0x00909071,
+    0xe7241d14, 0xd0a95c86, 0x29bc2a53, 0x5a54d877, 0xf00ce992, 0x6cd22050, 0x834f26ed, 0x55748ce9,
+    0x33a3810c, 0x8d6028c3, 0x09ffe382, 0xcb4afe38, 0xc92db409, 0x8d199547, 0x3d63cd89, 0xabd774cd,
+    0xd30fb290, 0xca3872b3, 0x3ae19332, 0x26d2ed7f, 0xa3505822, 0xfd34f53d, 0xa863464b, 0x0bc7566c,
+    0x9a5fe849, 0xa15700b4, 0xe23fa221, 0x967c2dda, 0x3ccd19c6, 0xe03175f8, 0xa9931830, 0xca1a47a8,
+    0x1d6e59b0, 0x5479f231, 0x0f35d82a, 0xc5986385, 0x9694a4ce, 0xe2d32f51, 0x37c3ed85, 0xcf4b0203,
+    0xd50a7ef0, 0xe9699e33, 0x0a0a41b8, 0x78d6ce6b, 0x717bb81b, 0xa5adef27, 0x9496d069, 0x24d9cfc0,
+    0xee259888, 0x9aca6e69, 0xf574075d, 0xaaa9c8ab, 0x4460d472, 0xc34f0f81, 0x14365640, 0x3da25efb,
+    0x868a698a, 0xb1c8af9b, 0x0e19f58d, 0x3d4cca71, 0xff6a6e0c, 0x370ea8f1, 0x8ff38f2c, 0xef518a44,
+    0xb172e556, 0xfeee7e08, 0x94003f33, 0xcf12cf1c, 0x5bf41b9b, 0x0af01a30, 0xb42fb1c7, 0xa36cfa42,
+    0x3b8b9bd3, 0x2a756633, 0x991b7520, 0xf9c6d19d, 0x78ab7614, 0x34e1063c, 0x9d782c41, 0xd89c6c15,
+    0xd843059c, 0x542a7b47, 0xedc776a8, 0x39b3d486, 0x58991ced, 0xdd8de1f0, 0xc4fbb97b, 0x8fb9b59c,
+    0x3b05fcdc, 0x4524921b, 0x1043ab56, 0x9d700a8d, 0x4e3436e8, 0x12fb2913, 0x8885ec00, 0x49a0430b,
+    0xab22a7db, 0x37c14579, 0xf935346f, 0x6bb53014, 0x9465cc3c, 0x51ce58be, 0x98368cf4, 0x0430f738,
+    0x657dabfc, 0x959b4992, 0xb3cd69f0, 0x1ecca766, 0xdf93cc7a, 0x4dc14a30, 0x334dd1a1, 0xfb50a45c,
+    0x61cdd4d6, 0x3abad95f, 0xe3f2d01d, 0xedba3367, 0x9e99c805, 0x764b0a06, 0x19d7633d, 0x88f3aff2,
+    0x07437fa2, 0xbcae2e42, 0x6660b7c8, 0xa6642b5f, 0x3aa1eb4b, 0x92ab10fd, 0x61006ad0, 0xbf6775c6,
+    0x18da2b9c, 0xb3c9f87f, 0x9fd88bb3, 0x51a21e72, 0x67db07ac, 0x4e8a2d97, 0xfd07f086, 0x69bc3d62,
+    0x066c437f, 0x6ebc9f74, 0xad5d30eb, 0xecdb114e, 0x19cfbdd9, 0x3963e98c, 0xe90beebf, 0x41ce61de,
+    0x06f22de4, 0x47200e26, 0xf4c70152, 0xefdca2d4, 0xac444a3f, 0x0f1f82fb, 0xac5c6364, 0x0247e655,
+    0xfa642e89, 0xe7c52fb2, 0x76751b3d, 0xfb7794b4, 0x16040edf, 0x2913bb27, 0x1dcd16fe, 0x0bb2ba74,
+    0x8b7da5c7, 0x75139ec0, 0x648f18ce, 0xad8cb89d, 0x969a03d4, 0xc788fedc, 0xa26a2339, 0xfeb13c1d,
+    0xa008e83a, 0xe8981025, 0xe3086602, 0xf61f1e7e, 0x21500d3a, 0x9e86134c, 0xe71aec91, 0xdd5a29ba,
+    0xb8e1bf65, 0xb90f2641, 0x2f708ad6, 0xd3f0d810, 0x463c08c4, 0xac59c3c1, 0xbd85ba60, 0x3093d6f1,
+    0x865f707b, 0x00caa4b3, 0xb5208d33, 0x01606a6d, 0x93ef7c24, 0x93800a64, 0x1975dcff, 0xaf9554bf,
+    0x61afe4b8, 0x35244492, 0xc511e208, 0x232f6a3c, 0xecc19cab, 0x9480e840, 0x670719f1, 0xb0599473,
+    0xf68dc8d1, 0x1d46173a, 0xb3340fcf, 0xfd6d20c2, 0x038cd241, 0xcf0dbd77, 0xbd684c26, 0x7e522106,
+    0x498c0dd3, 0xd49807f4, 0x8dc1f07a, 0xd78f25c6, 0xf255a9fb, 0x294e6415, 0x473656b1, 0x6a35f627,
+    0xf1fd9b56, 0x84fd9444, 0xbe214526, 0x06219d49, 0xf7c636ea, 0xe58fcef0, 0x32d8b100, 0x9d165450,
+    0x497c100c, 0x44f45b4b, 0xbade7e42, 0xae1d2c8d, 0x9f955856, 0x334b2940, 0x80ea16a0, 0xef6a8498,
+    0x5b95b763, 0x8e31a40d, 0xa9eea9b7, 0xb1f853f1, 0xdb2cdcd5, 0x7b6ff3c1, 0xa450afaa, 0xd76d2370,
+    0xa7595efc, 0xb890fc88, 0x27287c65, 0x37883325, 0xa2c9ac15, 0xd637c3ba, 0x042cb33f, 0x8ded3e79,
+    0x5b36ed1b, 0xbd43c733, 0x15e6e65e, 0xe31ef61e, 0xa87e7a5d, 0x7d33412d, 0x13980431, 0xb355efc1,
+    0xf52b8bba, 0x4e04c2c6, 0x3eb0d4ae, 0x771a187f, 0xc6b154b3, 0x86bd16c9, 0x9db2e9ab, 0x6966fcef,
+    0x3187dd2b, 0xe050c975, 0x58198545, 0xc8c209aa, 0xfeccd86c, 0x4afefd37, 0x5a9d77e5, 0x7b06b6f6,
+    0xf4612711, 0x6fc76fc2, 0xe3c0fdc3, 0x365910e9, 0xe2d88d8a, 0x418750bb, 0x50301bd7, 0x28a195a2,
+    0x9253cbcf, 0x699c5894, 0xddab071c, 0xe3be378a, 0x37f9c90e, 0x50aaaeb7, 0x5c486514, 0xfa6d190e,
+    0xeeccf547, 0x28de6132, 0xdcaa7956, 0x03a854c3, 0x2443ac8a, 0x4c6ac8d5, 0x4e0997e0, 0x13d698bb,
+    0x85041a45, 0x89082a64, 0x47f41681, 0x9e451b18, 0x107c0975, 0x3c8c4dd6, 0x473a5c09, 0xc0954a14,
+    0x2cea96b7, 0xb3352948, 0xabd5f282, 0x82c0a7a0, 0x0070fd4b, 0x130589f2, 0xb50a6fb8, 0x292dfbde,
+    0x5e474e25, 0xc2406658, 0x5a786b0f, 0xb7ab121e, 0x66a9adbd, 0x65a82356, 0xa8f93577, 0x30a756ab,
+    0x626f0db0, 0x95145662, 0x338c01b2, 0xceddf1e9, 0x4dab0672, 0x0da07611, 0x3767742f, 0x3ae5a454,
+    0xe5d1be32, 0xdf65bb6a, 0xfea2795d, 0xe39ff15b, 0x724e8ec9, 0x0dbd4487, 0x9fa99e90, 0x3ae8e0de,
+    0x124d3c32, 0x6e94cdbf, 0x369b6fac, 0x301c3300, 0x612f586b, 0x13461acb, 0x861755a1, 0xad6b07e6,
+    0xdb8c1346, 0xcd628880, 0x1c58540e, 0x7e5dad1d, 0x0a8f2760, 0xf9159522, 0x4fb5b9b6, 0x8b3c3f72,
+    0x40f1b56c, 0xaaa65103, 0x5ed23e46, 0x271ea884, 0x89579014, 0xafed0080, 0x49e5e6f3, 0xdda5e9b1,
+    0xcfef799b, 0xa936a3f8, 0x4876d86b, 0x0c823c09, 0x8c60e336, 0xf3b6a722, 0xade4eb1c, 0xaf51f875,
+    0x36606dba, 0x5b811e14, 0x98a3686e, 0xa986c589, 0x3c549a9c, 0xaae553fc, 0xebaadf40, 0x289482f6,
+    0xd12f6a73, 0x315aff4e, 0x20317476, 0x5729920b, 0x939270bf, 0x7fe93e6d, 0x8dbd7fe1, 0x90ab0578,
+    0xf2c32458, 0x2e5a98db, 0x025ffe9c, 0xfb7441f6, 0xbae63b89, 0x4ca4746d, 0xa8b71d32, 0xf0866543,
+    0x00000000,
+    0x7a77547b, 0x7419943f, 0x020b9e16, 0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb,
+    0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000083436993590660550\
+                         09355553539724812947666814540455674882605631280555545803830627148527195652096 */
+  { 0x00000000,
+    0x82071bf3, 0xc98c61aa, 0xfeed06a0, 0xa0905995, 0x513a2b2a, 0x732750e8, 0x410cde00, 0x19fa1e01,
+    0x0b23bacc, 0x86bda809, 0xa5835f08, 0x51f0c40f, 0x4018e1c0, 0x401c7d2a, 0xa99ff046, 0x5078eee8,
+    0x29a44f7d, 0x8de0249d, 0x80fa248d, 0xa728bd2d, 0x3773f2b3, 0x7da03e8a, 0xa21e380e, 0x0026f1cb,
+    0x7501dcca, 0x5d0447be, 0xb0a8c996, 0x59aada09, 0x2b60b15a, 0x2b6cd99e, 0xfac3a60a, 0x26b33d89,
+    0x3c9fb650, 0x1173b314, 0x2ba15120, 0x7aa03781, 0x2fcc7953, 0x51c1aa22, 0x0eca2ed5, 0xa5870a08,
+    0x80d3011e, 0x3f7fc726, 0xd7908615, 0x9a985ff8, 0x43c735e5, 0xf89f56f0, 0xbc09a297, 0x1219bd51,
+    0x57415eee, 0xbe4c8ce0, 0xcbc0c66b, 0xd9a08a89, 0xdddb95cf, 0xc567741b, 0xc1652cef, 0x0a5d3aeb,
+    0x99fdc77a, 0x5159b7e4, 0x40bcdd30, 0x67261c2f, 0xed1846c0, 0xfb206030, 0xb29dff47, 0xb622c7f4,
+    0xc0e45143, 0x2e460c74, 0xc8699959, 0x625920a1, 0xfbd0cfb4, 0x0e3023f3, 0x005bb849, 0xfa334c84,
+    0xb760260f, 0x4098a6a2, 0x40392bee, 0x332ac348, 0x11814191, 0x7f9be660, 0xcc3c8151, 0x977a6cc3,
+    0xe0873084, 0xf6f680af, 0xf0b4cea8, 0x77aff8ea, 0x1aaa788a, 0x8c5d6825, 0x3f90c328, 0x1e75c26a,
+    0x0f7847ef, 0xb40158da, 0xa153a11d, 0x5349a851, 0x941a9466, 0xcf9fdf5b, 0xa785d1a7, 0x6f3a7e96,
+    0x62d05414, 0x782cb89e, 0x96ef8173, 0x21d097c8, 0x804d4cb6, 0x6133282d, 0x191c53b1, 0x200690c9,
+    0x7d61d2dd, 0x71611e85, 0x479dbed1, 0x5c31ccc0, 0x7f7f2694, 0x9d1e9ee1, 0xb466c93f, 0x915aed21,
+    0x4c433bee, 0x41cd40da, 0xb053b08c, 0x037415eb, 0x685f9d4a, 0x1edb5762, 0xba53c6ca, 0x9bb711bf,
+    0x7b8bee74, 0xb4f66462, 0x6033f9a1, 0xb70b06ea, 0x405344fc, 0x520b03ec, 0xe7a77a93, 0xcd0e7f99,
+    0xf6c44394, 0xb7246a39, 0x9ba657d2, 0x90c1abc5, 0xc351ffb3, 0xfbc65075, 0x791d7f5b, 0x84db3ab0,
+    0x133f92aa, 0x67ff9439, 0x48c77210, 0x16d652fe, 0xded16123, 0x01cebaa1, 0x5fb3114e, 0xd3b89136,
+    0x624f4d4f, 0x25d5f7ea, 0xe6eaf333, 0xaa2cfb79, 0x4b57b1e8, 0xd09fe02b, 0xfdda32ca, 0xcad32f77,
+    0xa85e892e, 0x24a08bd0, 0xc9ee78f2, 0x791de35d, 0xec24a4c7, 0xd0294125, 0x74f4d42e, 0xfbf2552d,
+    0x852b97ff, 0x6b154cca, 0x1e87dcb9, 0x2240c766, 0x4d8a8841, 0x3c1aef1e, 0x9957684b, 0x7d9db5b0,
+    0x8b383006, 0xa29ef91c, 0x1e2f816b, 0x0e9a0cde, 0xb6cb016c, 0x44d0396a, 0x39abddb0, 0x81eff337,
+    0xd812119f, 0x11dc4997, 0xce0e59d4, 0xae99cb7b, 0x4b5f91f2, 0xd2603ee5, 0x7fec2a4d, 0x33262651,
+    0x1ed722d6, 0xbc2333d0, 0x9ccc075f, 0x23e04c9a, 0xd3beb4f1, 0xdb9216f2, 0x44e31850, 0xd2835582,
+    0xa1dc104a, 0x1696e5e2, 0x4cf16e70, 0x6e442835, 0xe95dbfd4, 0x28ee55fb, 0x60304409, 0x111ef220,
+    0x4de70c56, 0x31429542, 0x91ada22f, 0x41b96a68, 0x96d234bf, 0x8d8b2b83, 0x1cd9c773, 0x3d584999,
+    0x4abd975a, 0x71af8e58, 0x5b5f130e, 0x7fe10b50, 0x0fea647b, 0xf2db6cfb, 0x77982f41, 0x88358070,
+    0xa1f6ecdb, 0xf0b598f3, 0x9666d0fd, 0x0f3ec8eb, 0x3ac0f9ca, 0xd906cf36, 0xa58e8b71, 0xbef486ec,
+    0xeeec8c64, 0x77a83c70, 0x8fd05979, 0xb7c9058a, 0x0f203adc, 0x448e81b3, 0xdc78d21a, 0xdeb4af34,
+    0x3cf3f2f2, 0x98f45070, 0xa9e36e95, 0x297aed18, 0xe15a86d8, 0x4c732e1c, 0xce0599df, 0xfe125aa2,
+    0x6f079f17, 0x5a5f2839, 0xcd62f5be, 0xbf266c50, 0x648e2238, 0x63e06db7, 0x0ab9f42f, 0x02b56e1a,
+    0x7ee2e5c4, 0x57236bf8, 0x3b06dfef, 0x97fa0443, 0x69601fec, 0x42f8c461, 0x2eb56a18, 0x07eb6789,
+    0x217410ce, 0x3b9bb631, 0x763e4e9f, 0x666936ed, 0x96a7fc22, 0xe58aa28a, 0xd7d0a8ad, 0xc13c7271,
+    0xf6b1ff91, 0x317774ca, 0xbfee59f6, 0xba246f88, 0x444edb2e, 0x4eb3dda9, 0x280c27d0, 0xacde0a9b,
+    0xf756e2cd, 0x5fa853b0, 0x8979b1ba, 0x7d4b6189, 0x7a15219b, 0x853b2467, 0xdafe6d5d, 0xa4699bb2,
+    0x695ceb73, 0x27fe1569, 0xdd94e4bc, 0x2d51db6c, 0xedb38d94, 0x0ce9158f, 0x88d4fcee, 0xd0da1b83,
+    0xfee96861, 0x1652e82f, 0x4ff95f56, 0xd2e41bf8, 0xc2adcef6, 0x5e21bfb1, 0xfffffa4c, 0x3211a483,
+    0x96a4beec, 0xfc6e1d9c, 0xcd7212b6, 0xb2fc1e3d, 0x00c9dbc9, 0x4145b923, 0x8045ea89, 0x199075eb,
+    0xd578f1ea, 0x00450c24, 0x4a6cbf2d, 0x5bcb469b, 0x1c821726, 0x97a0e9a7, 0xa2cdcd1b, 0x5b85f149,
+    0x18c5b7a3, 0x08a4b615, 0x32351790, 0xf700ea84, 0x908661b7, 0x167eeba7, 0x9ab6a863, 0x4efb2f41,
+    0x8e3e4194, 0x4deea3a5, 0xc855fdfc, 0xf07bac6c, 0x6b9025b8, 0xf6466076, 0xcb7a5c48, 0x9e621404,
+    0xd76c7b10, 0xdea0d19f, 0x123ec5dd, 0x9ce33907, 0xea071d92, 0xb5d14d70, 0xad25a01f, 0xec5ef28c,
+    0x87a7e4a0, 0xea1dfe37, 0x3ee0c1b6, 0x0b38d9d4, 0x48626a49, 0xb254bf13, 0xec12f633, 0x6bd13fb2,
+    0x6b520e19, 0x39854e94, 0x173c8969, 0x5f8ff0e2, 0x3217fc49, 0x240e45ff, 0x059de913, 0x95023ef2,
+    0xc4ab547b, 0xba8a7ea6, 0xa165f628, 0x2277c310, 0x59a33dc6, 0x5e941987, 0xd890cf0e, 0x9caac1b2,
+    0x3b594c7d, 0x3fb16cc4, 0x31ad6662, 0x2ad85985, 0x6bc50b1c, 0x9e354d6d, 0x98fe8fa4, 0xf972e18e,
+    0x38caf055, 0x93433564, 0x0365e807, 0xcf59117c, 0x186f81da, 0x6215edf9, 0xa40c296f, 0x564e1bb2,
+    0xc3809eb9, 0x3e8b3793, 0x119ca8c6, 0x4634405d, 0x33ddfe53, 0x73fe1766, 0x08e233dd, 0x48f94b99,
+    0x97878ce0, 0xb388ee86, 0xb90c3495, 0xa8decafe, 0xc7d43de3, 0x5363a235, 0x3e031302, 0xd1a09603,
+    0xc3640332, 0xd75ef3b3, 0x37100464, 0x44d66c4f, 0x3b96e118, 0x40de60e4, 0xf6841f15, 0x530739eb,
+    0x316cd6be, 0x7cc2896f, 0x8366fc42, 0xe3798a22, 0x072cae7c, 0x7f233eb5, 0x2fa57290, 0x2ba638aa,
+    0xef04ce7d, 0xdfcfb148, 0xb13a39ca, 0x4d13b51e, 0x5c35f5ab, 0xbfeb8751, 0x861f0d08, 0x3291b965,
+    0x9b2d9de8, 0xd88f1121, 0xae742f22, 0xaf8fef8d, 0x0208cf42, 0x70d7b57e, 0x639b95d8, 0x0ba08902,
+    0xb468466b, 0x7d50974d, 0xbdfcbf28, 0xf751e468, 0x1550386e, 0x8c3b85fa, 0x0ff78885, 0xf5799844,
+    0x7b3eb83f, 0x47818128, 0x24cbb456, 0x6d7c7f84, 0xa2419241, 0x048d0034, 0x6c8caa0e, 0x5568fc2a,
+    0x40903948, 0x71ef36c4, 0x557f4e54, 0x8774a481, 0xefaec917, 0x416fe1d6, 0x9a687997, 0x6caf01fa,
+    0xe303f02c, 0xf7883d21, 0x96346c4a, 0x1de3cdb4, 0xee957aac, 0x576a3ea3, 0x403a32f6, 0xf34bbccf,
+    0xd43ace43, 0x26f2d9ba, 0x3e431c86, 0xf9e45e91, 0x0e5a9996, 0x4c0d19d7, 0xc11b256d, 0x07771592,
+    0xc070f056, 0x22f99c47, 0xc6255db6, 0x3390466b, 0x17e0ff24, 0x064c730b, 0xc8fc0de7, 0x57a8427f,
+    0x0c272d42, 0xe2babd27, 0x1fb8384e, 0x1b36e8ad, 0xc23feb71, 0x3fceb2cf, 0x38729141, 0xfebfeddb,
+    0x3bdc74a7, 0x9673599d, 0xfe28a3a2, 0x98504e66, 0xa2026a94, 0xf996b02f, 0xe6da5d3a, 0xc8369997,
+    0x391c5c21, 0xd1ee6258, 0xf791ddf6, 0x875549ce, 0xccffd07f, 0xd2781026, 0x703009a7, 0x14fa229e,
+    0x73486491, 0xae785d5c, 0x0f372e99, 0x9360ab2c, 0xe9e168a5, 0x3d020087, 0xf9f5b1ba, 0x6f5ce585,
+    0x50302430, 0xb45989ec, 0x93ad9903, 0x3ccd0495, 0x1af29323, 0x35aa87c3, 0x5d900f5a, 0x5520e01f,
+    0xf471cfdf, 0x77317eca, 0xf820c49a, 0x5e742445, 0x84587a10, 0xa389c801, 0xc5c0eb02, 0x9a4aec43,
+    0xf2f1f105, 0x6aa95904, 0x1292c278, 0xf3712760, 0xd65cecd6, 0x37ba25e9, 0xd8fc8aae, 0xc2f571ef,
+    0x5e5afc87, 0x51cb2938, 0x72530452, 0x44ac0309, 0xd6141d23, 0xd1be2c0e, 0x287e095b, 0xe2741153,
+    0x65ef3295, 0xe90e48e6, 0x01e9d72b, 0x6843b8b6, 0x2de91212, 0x80fe59e4, 0x54b9468f, 0x1368c5a9,
+    0xa5a5d0c0, 0x69373208, 0xaa36cd91, 0x7a35edae, 0x55d686c8, 0xe4def9fd, 0xba2f26b7, 0xd02b0bdf,
+    0x97fc1a4e, 0x9af4f8bf, 0x853308f1, 0xdbd343cc, 0xb1c0567d, 0x3f42e1fa, 0xd44fc206, 0xab26d399,
+    0x18e42da2, 0x9a281f8b, 0x9ff7a845, 0x1ff70454, 0x0845e8f6, 0xd18a2b19, 0x8c0b77b1, 0x7c167e98,
+    0x4e0040fa, 0x723866b2, 0x2c7e163d, 0xa5cd7965, 0x06e27c69, 0x2bc31839, 0x80dea0fc, 0x89611fa3,
+    0xaf9a50a8, 0x790b234f, 0xff53140b, 0x0a00c6d2, 0x43723ea3, 0xdffad7bf, 0xb8e0cd2b, 0x8a315877,
+    0xe0801206, 0x48b81c74, 0xb14d20a2, 0x16be37cc, 0x4edf91f3, 0x11e784cb, 0xeac1d6e6, 0xcfeadb77,
+    0x20c1bf2b, 0x0c8d69cd, 0x504e2791, 0xe4ca5e39, 0xc4843c0d, 0xa62e1666, 0xf3825119, 0x1119e0e8,
+    0x9cea8e56, 0xb1f3d4e4, 0xdf290e0e, 0x6537943c, 0x53b655c1, 0x65680877, 0x793883dc, 0xe5414c07,
+    0xbf94ce7a, 0x8789a795, 0xa5b4b90a, 0x0b8bff94, 0xbad3448f, 0x068d3902, 0x9ec0e02e, 0x8b57fb30,
+    0x2e9e1b1b, 0x908c5da3, 0xc0e1b4d0, 0x1eba0c4e, 0x34f4bfe2, 0x29586d60, 0x0b903dac, 0x5542fd96,
+    0x8c79eafb, 0xd571a9c1, 0xe30c3542, 0xcfdf8ec0, 0x14f68044, 0x7f464bb0, 0x8343ed67, 0x028b92fe,
+    0xe40ea8ce, 0x05e4d6f4, 0x4fda4c53, 0xdacb8cb1, 0x0f87e076, 0x7d36d6e9, 0xa1711839, 0xae6eb5a6,
+    0x6e3cd06f, 0xa165118b, 0xdf155ecd, 0x613f6aa9, 0x714cd745, 0x384fc468, 0xea05e1e3, 0x59aa7d5a,
+    0x273a3134, 0x0177115d, 0x06499964, 0xfe08fc22, 0xcd327ca5, 0xb7529b5a, 0x8f24cf40, 0x567edaa2,
+    0xb5f85fa0, 0x879e8515, 0x74e03030, 0x728ace2c, 0x3e040985, 0x6c34efc2, 0x7cb1b7c6, 0x2d2d9ee6,
+    0xeec715fb, 0x7c0f5971, 0xab686e2a, 0x02540ffd, 0xfe7a3597, 0x9a4749ab, 0x32b696c4, 0x6cd0a1ca,
+    0xf817ac77, 0x612bcf1e, 0x062ddee4, 0xda723c6f, 0x042a69af, 0x22d20884, 0xaa86a73d, 0xafed0897,
+    0x09539038, 0x45fe9198, 0x940c0bf5, 0x86e3eef1, 0x07851d07, 0xd70c56c4, 0x72e018e1, 0x9b9d1a3e,
+    0xfcedfe5f, 0xb2ee0adc, 0xc51cd509, 0xcac10ff0, 0xb190eb86, 0x4377a9e2, 0xf5bfdb14, 0xc3d6eb44,
+    0x32112272, 0x5a27389b, 0xacf05c62, 0x63c12495, 0x9fb0c15f, 0xfb8a5be7, 0x9b3d0026, 0xa234eb92,
+    0x7211ddcc, 0x93a006d5, 0xea7330ef, 0x079f138a, 0xdb682b06, 0x85f9f0ed, 0x58575bfe, 0x3e2a355a,
+    0x9b2889b6, 0xd6aea66d, 0x82bd7512, 0xbe0130f7, 0x547f57dd, 0x54f8c917, 0xebac6e02, 0x265f50e8,
+    0xaccb7a2e, 0xdad4ae97, 0x6b0d5bde, 0xba95be42, 0x54047bf3, 0x6c80114e, 0x6c9a6840, 0x7a31e001,
+    0x253d189a, 0x53dde31c, 0xaed3eb21, 0x1a2f4d11, 0x973c98e3, 0x4c6ca793, 0xd779db61, 0xa75fdaaf,
+    0x4d7af298, 0xa4a450a1, 0x18938dee, 0x6a27ad7f, 0xf662bede, 0xa2c79ddf, 0x003b2390, 0xbbbb0bca,
+    0x058f9098, 0x8e5cc539, 0x0c32068e, 0x22f1d530, 0xa721dea8, 0xb1c3c1e2, 0x187c4588, 0x2f95000d,
+    0x5eb5882d, 0x7ffc76a5, 0x3aa7574a, 0xc19f6539, 0x626e5a99, 0x343b7df5, 0xde2aa776, 0xa06f8d81,
+    0x2e82c99c, 0x41e298f5, 0x201796ba, 0x94799553, 0xe446ebb1, 0xf2638f58, 0x766143d0, 0x8606938f,
+    0x5da4926b, 0xde683d51, 0x4fd34c17, 0xeee8df1b, 0xb51db720, 0x52d966b5, 0xd30d2e7c, 0xe12064a3,
+    0x4a63e4a5, 0x1be33377, 0x00a6783a, 0xa65b7ac9, 0x26934cab, 0xc6734606, 0x25cc9232, 0x9b8bc944,
+    0x218a74c7, 0x34fc3ed2, 0x99cb5063, 0xad573553, 0x767a58ed, 0x1cc04a95, 0xf1adb8b5, 0x1625ffd4,
+    0x61f05d45, 0x38573d01, 0x76538147, 0x52324462, 0xd0e1c6ec, 0x8032aa57, 0x82808eda, 0x478f13a0,
+    0x2170ca3d, 0xae0589ec, 0xff313b2e, 0x4fe1ee0c, 0xad6d5183, 0x81b112f1, 0x86c0fac0, 0x2eec9c85,
+    0xf90bf09b, 0x5f2ee3cc, 0x8525aad8, 0xc7d6b832, 0xd33a6b3a, 0x2af81750, 0x91649d7e, 0x6dbaa1f2,
+    0xa95a1baf, 0xc7262189, 0x3edbbe85, 0x32eef664, 0xf19f4231, 0x93e58f87, 0x45b9c05a, 0x0169ab13,
+    0xd48c6279, 0x4f9a6dc3, 0xb58cde49, 0x5057392e, 0x2531100f, 0x1f1d2ade, 0x6dc0f5a4, 0x1c2ab36b,
+    0x0d518c24, 0xf1134a9a, 0x932a3f78, 0x2407a5eb, 0x1816740b, 0xf13c3312, 0x9593dfa6, 0x8dd86f03,
+    0x19905241, 0xec1de46f, 0x6d70908f, 0x2ca8752f, 0x50fa1dc9, 0xeb543a1b, 0x1eec2398, 0x2c0d74b5,
+    0x26672b55, 0xfb00d301, 0x91e529f6, 0x4bff4a17, 0x57ea561d, 0x7b18811a, 0x7764aefc, 0x675dc6dd,
+    0x508813de, 0x80d26479, 0x0d8fcdc5, 0xadb9aea1, 0xa4d65db7, 0x80093e22, 0xa1b725bd, 0xb8f51b81,
+    0x6dc55dfd, 0xafe38ae3, 0x41e6e8d4, 0xd686433c, 0xa557f728, 0x052d22ad, 0x409967a7, 0x73f6cf4b,
+    0x5c91303b, 0xaad55ae8, 0x5f6b6904, 0xc2891ce0, 0xcc9105e4, 0xe99d3e11, 0x73f4e902, 0xd1eea5cb,
+    0x17d0ebb4, 0xd6114c8d, 0x41ef68d7, 0x09cc8844, 0xf0d6ed9d, 0x74a44182, 0xac06d2f8, 0x50edc50b,
+    0x471e29b5, 0x92c4729a, 0xd5922029, 0x49e1dfa0, 0x4ac7947e, 0xadfbd625, 0x05a941c7, 0x5ec9ae6f,
+    0x1907a9d3, 0xe2365efd, 0x472a2f94, 0x158ac5bc, 0xb4c4b6b7, 0x177850a1, 0x06855a85, 0x4a7543a1,
+    0xff5511e9, 0x5396f850, 0xdeb7f640, 0x5c44f1a4, 0xb390d4d5, 0x5fffd304, 0x2affa4cc, 0x5a460cbd,
+    0xd3d00e27, 0xea34844a, 0xed1a39a4, 0x7b511c23, 0xa455ea34, 0xc1553ba6, 0x6faf313e, 0x5ee489a8,
+    0xfd92c2f8, 0x2115418c, 0xf702f541, 0x6243ed88, 0x9942ae13, 0x8bdd9e47, 0x7dee21b4, 0xcda3974b,
+    0x41fa63ad, 0x4c60508c, 0x1db9131e, 0x57e570a5, 0xafffb24f, 0x7d863a94, 0xfedff89c, 0x9218f74b,
+    0x3abd4272, 0xc5e44c36, 0x8690cf54, 0xd5ea653b, 0x3331f12d, 0x62b6f0c7, 0xc16caf62, 0xc5c63d80,
+    0x60412ae3, 0xb655eccb, 0x37e7a519, 0x4ad3ece1, 0xc1c75cd3, 0xf9feb3de, 0xe478f6dd, 0x2071c932,
+    0x3a68f1db, 0xae7edbaa, 0x28b5cd39, 0x62aae4cf, 0x38dc1b8e, 0x254ee429, 0x15d32bb8, 0x3e5d83b2,
+    0x1367eecc, 0x1dff975b, 0x44efe8ab, 0xa3742997, 0x0784e3ae, 0x0d23aaff, 0x2bd84f37, 0x1a9420b2,
+    0x17edf378, 0xa1a28305, 0x9cb81249, 0xb06096c7, 0x276f634f, 0xa0b978cd, 0x994a3064, 0x44c922ea,
+    0xfee31853, 0xf2aeea84, 0xcc0bc127, 0x8c2ee804, 0xc49484be, 0x51897584, 0x147bb755, 0x59a72f96,
+    0x77957221, 0x2cfb72c8, 0x422ae21c, 0x94e048f1, 0x1b167422, 0xbf832a84, 0x75bf3ce3, 0x24ce7b04,
+    0x92021384, 0x9c374b46, 0xb6718501, 0xbe12eee1, 0x8362a924, 0x03c4a68e, 0x84e33a79, 0x73cc89b9,
+    0xbb97ff37, 0x2a3f1329, 0x393e5549, 0x57d614d4, 0x18c84a9d, 0x0438af9d, 0x942e8a40, 0xaf767abb,
+    0x00000000,
+    0xbd3baa3d, 0x3a0cca1f, 0x0105cf0b, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed,
+    0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000041718496795330275\
+                         04677776769862406473833407270227837441302815640277772901915313574263597826048 */
+  { 0x00000000,
+    0xbdc58d72, 0x09a8adcf, 0x28e5cd8d, 0x16fe9d43, 0x425db99e, 0xd26f6b18, 0x38abba15, 0x420c5a6d,
+    0x4679d29f, 0x66f164c4, 0x33a13570, 0xa8e512f2, 0x9ac1b120, 0x44a5b1b4, 0xd479429a, 0x026885f0,
+    0xa9eaa91e, 0x73c37e50, 0xd234176e, 0x2e1a3261, 0xbb52b5af, 0x467edf7a, 0xad10ab94, 0x1717eab5,
+    0x6278fb8f, 0x6ec00176, 0xff55316e, 0xeb7dff0b, 0xa4355e87, 0xef4af897, 0xe0471f6c, 0xfe2acb6c,
+    0xcb1fbdce, 0x2ec7e31b, 0x16fa6585, 0x7bb9d945, 0xea25f820, 0x901826e5, 0xb60f4b64, 0x8825a3c8,
+    0x7e893a7b, 0xcb37e2f8, 0x277cef6b, 0x37fba88f, 0xdc8deb2b, 0xc8d9ff1e, 0xfe896db3, 0x55df1b71,
+    0xb2e39659, 0x19b4b91a, 0xefb29226, 0xc2cb86ba, 0x2c715409, 0xf1c948ef, 0xeb258d1c, 0x0739cfb9,
+    0xf57615b7, 0x824fb5a8, 0x0175ae99, 0x37b87397, 0x89c85f4e, 0x7f805d3a, 0x955c3214, 0x74c6ee7c,
+    0x92662e8d, 0xd86858f4, 0xa5e82d4a, 0xcb3011ef, 0x6fda930e, 0xc00fdd31, 0x00914517, 0x67216e20,
+    0x6381600c, 0xc101124e, 0xbe3bbccf, 0x6f4a26c8, 0x10db334a, 0x069fee10, 0x003b6a87, 0xad466f56,
+    0x914ae566, 0x709f82bf, 0x9114fbf7, 0xb5a1d6fa, 0x1181ebf6, 0xe49d35d6, 0x963b5db9, 0x26aac05d,
+    0x5e9a2642, 0x9d345e4f, 0xbe437383, 0x177b85f8, 0x4c2dc276, 0x12c42a42, 0xe59aa419, 0xfaed3399,
+    0x5371b7f0, 0xbbfcd5ad, 0x2f271f24, 0x525e4d8b, 0x956ae9ec, 0xe41e4f75, 0xb26c685e, 0x17cbdea3,
+    0xb1f43e88, 0x172afd86, 0xa908ab84, 0xcf09eca2, 0x4b61e7b1, 0x3eced699, 0xdcc59da4, 0x9bd90ecf,
+    0xc3323509, 0x0e3d545a, 0x0421b197, 0x77fd5c3c, 0x3839afc3, 0xdf5afab8, 0x50f91642, 0x501d8f82,
+    0x228b163e, 0x30d1fa06, 0x96b9e113, 0x622fc2c3, 0x3df99139, 0x452ada08, 0x025c11e4, 0xb6d111d9,
+    0x254a8dd2, 0x76ab42d9, 0x6ce05c83, 0x4da93901, 0x1a8fe874, 0x97bbbcbe, 0xc6ae0d7b, 0xcefddf21,
+    0xd5e16305, 0x09b27281, 0x805ab11b, 0xca73f2da, 0xc1e42c5e, 0x8246ba3f, 0x9fe2d6bf, 0x73342284,
+    0xf6dc0e2a, 0xe786c48f, 0xe5f67109, 0x0dad27c4, 0x0af777d8, 0x1d6db250, 0xaaf6392f, 0x9c29370d,
+    0x817d3dd8, 0x56747f73, 0x94c99a6a, 0x55e8280d, 0x1c955e34, 0x6398eee1, 0x688c6107, 0xfa2a0876,
+    0xf5748e69, 0xf151816f, 0x93122490, 0xbf4213b0, 0x187d8000, 0x3cc29a9c, 0x01ccc3f8, 0xf38f8cd6,
+    0x599ec860, 0x7a51674c, 0x2c3d8c04, 0x582bd138, 0xe343aca2, 0xe9412b13, 0xec473aed, 0x6ad4b5c5,
+    0xeef874c1, 0xee0a053e, 0xc6fe9c05, 0x99a60f47, 0x11585476, 0xc06d8bcd, 0x2ff3ca09, 0x9c584db6,
+    0x6d0343ab, 0x7892c7e4, 0x0c40109e, 0x4e953577, 0xcef91739, 0xe6e8cfb4, 0xe8a6cd89, 0x00295ebf,
+    0xbf7e5559, 0x65a22a17, 0xb0ba3dd5, 0x71ba9527, 0x32adb959, 0x289e2069, 0x86d8b4b7, 0x6ccea9dc,
+    0x8181b600, 0xf6764e4a, 0xe6fcdc1d, 0x13c384c1, 0x5cf80acd, 0x5eab7b98, 0x66205b5c, 0xcfca199e,
+    0x1ee2fc28, 0x96ba8214, 0x8abcc3c3, 0x2af8f11e, 0xeb9deca4, 0xff6a4199, 0xd9226df2, 0x81c56107,
+    0xfb2f7906, 0x9badb980, 0xaab10940, 0x4b72cb6e, 0x1a2afdbb, 0x953a8d6c, 0xb94bc50a, 0x2c9f54a5,
+    0xb04a1871, 0xed2ae2ea, 0x9aa6ff1f, 0xca6205e7, 0xc21d726c, 0x21e43ee8, 0x0da543c3, 0x11439d67,
+    0x07107066, 0xdecf8715, 0x88bc6495, 0x13f8a1e4, 0x60a21e19, 0xf38e7b6b, 0x264bfec2, 0xaf49a599,
+    0x38d7115a, 0xfaa66942, 0xff643553, 0x5ff93203, 0x1c75326f, 0x86a79e13, 0x7a4a2412, 0x9eea0c5e,
+    0x49f9cc87, 0x92be786d, 0xd44a4918, 0x24d0e54c, 0xb33d1e5e, 0x82574d3c, 0x7bab065b, 0xb49ade87,
+    0x32b74748, 0x89da40dd, 0x13292eaa, 0x0538ce72, 0x7ee5c95b, 0x116d165c, 0x0ace284c, 0x9d4e5314,
+    0x3a2b89c8, 0xa0cb6fb5, 0x241a1f31, 0xacdbbe7e, 0xd85f73bd, 0xbaed0fdd, 0x5506470b, 0xce124f27,
+    0x935a8fcc, 0x9153df9b, 0xe3b7a522, 0xbac6fc77, 0x36f3765e, 0x92790b22, 0x656ccb16, 0x7ea6cb87,
+    0xf3e81c1d, 0x2ac42b1c, 0xe5f090c2, 0xe04a837c, 0x129d5385, 0x64bb0b94, 0x3c9cbb70, 0x41744f25,
+    0xac8015b6, 0xd0f5880b, 0xe6b4ad31, 0x3d3e60d7, 0x689502a1, 0xda300130, 0x723b4ece, 0x47ec6470,
+    0x5ec2de55, 0xcbc0d1f7, 0x70a4a0d2, 0x1a7d2530, 0x592b23ea, 0x98482b34, 0x8a9e9a68, 0x89001fd4,
+    0xe3ee1e25, 0x88335a47, 0xf4d07868, 0x2851e35b, 0x28d61c6a, 0x72a3b42f, 0x4c303adf, 0xf98c7b00,
+    0x97859e64, 0x0bb5766f, 0xe226e562, 0x3a41622e, 0x258dbd93, 0x23b1c22d, 0x6337973d, 0x5be7426d,
+    0x6d85fe41, 0x6d71bd7f, 0x83d5c90e, 0xc5e04cb8, 0x3b2cfe28, 0xc393cb91, 0x011b11db, 0xb5cd24a9,
+    0xe3e91105, 0x9636e77d, 0x83630322, 0x1768c355, 0x9bd27c69, 0x18dfe42f, 0xff6b313d, 0xde67809d,
+    0x582813a0, 0x26ec7d6a, 0x5bbfedcf, 0x6ea0cb68, 0x8d80cd42, 0x076ad9e9, 0x554bb3ca, 0x269721ee,
+    0xa48d0201, 0x63cc550e, 0xf224fb6c, 0x94689a51, 0x1aea6fe4, 0x9e3c142c, 0x1500b31c, 0x406b77bd,
+    0x35113911, 0x61b725d7, 0xa3933642, 0x7d2b7589, 0xc79bf1da, 0x8090cf98, 0xde2fe695, 0x0b1ee0f5,
+    0x32ccff40, 0xd54e3d0c, 0x00305237, 0x809169a4, 0x2f804b87, 0x9e0c28f0, 0x15f580d8, 0x33bfa081,
+    0xf61d6986, 0x520430e2, 0x3d57173d, 0xfb90857e, 0xe519d06c, 0xbe8559ec, 0x7275a929, 0xee1dd6a3,
+    0x4e527086, 0x002a59aa, 0x42ffae76, 0x5979ad55, 0x3c595b8c, 0xb5ed07c1, 0xb7283ae7, 0x7e5ca7df,
+    0x309f3926, 0xf84973b4, 0x2aaec84a, 0xf1daf062, 0x6860d67a, 0x73b42c9d, 0x559a83bf, 0x1e5eaef6,
+    0x9c1506d7, 0x2be798cc, 0xc8095880, 0x48444dc2, 0xc0c491d6, 0x388ba990, 0xb9a4fd46, 0x1032ca84,
+    0x999feebc, 0x38c07251, 0xe69da293, 0xb826f38f, 0xc780852a, 0xaa52d3e4, 0xa3ec71ba, 0x7561ab75,
+    0x9bcb944c, 0x0dbd3afa, 0x0e4bf68e, 0x02e810ce, 0x860ff6af, 0xb98cec6f, 0xc08e8218, 0x4397fcd1,
+    0x9e8a4cb8, 0xd77b3050, 0x2806d4a4, 0xb84e874d, 0xd5abf733, 0xfb3b0ffb, 0x03ba1c2b, 0x3ce3c475,
+    0x7b93b53b, 0x2caf4ca9, 0x57fd268b, 0x2a1c1e43, 0xe96b294b, 0x096a0016, 0xf6d67106, 0x002c02ba,
+    0xe8679039, 0x93531f70, 0x39715a07, 0xaafba959, 0x64611a4f, 0xc54b3458, 0x3caa806e, 0x21996df2,
+    0x72834ddc, 0xbc1c20ee, 0xcdc08136, 0xd7884674, 0x4258a3c0, 0x577debbb, 0x8efef827, 0x1d83b2af,
+    0x598eb4a2, 0x040168a9, 0x485dbcea, 0x8445b369, 0x0023686b, 0x43a2ba9f, 0xa1e69e17, 0x7ac94fd8,
+    0x603e2203, 0x62f4c8b4, 0x39fec3be, 0xfba8f13e, 0xeec1ff97, 0x17331dd5, 0xd2cd648a, 0xeada60f7,
+    0x57eaa1a3, 0xd6d7e48a, 0xa59741c4, 0xc9b6f6a2, 0x57cafd13, 0xebb46ee4, 0x66dee079, 0xa47c20de,
+    0x57f2a258, 0x9d9fa201, 0x0e9eb0b8, 0x4d6adf2e, 0x94c5386f, 0xa1a466b2, 0x1fdf4d60, 0xd71461d6,
+    0x96fddd4e, 0x65a4da38, 0xf3b2e6c7, 0xbf9a3211, 0xc70470d5, 0x38661279, 0x89be368b, 0x2c84ac95,
+    0x35f32bfe, 0x2656fcd3, 0x5f934ece, 0xa9476970, 0x93703b3f, 0x56d1b1c2, 0xb44f7329, 0x536da20e,
+    0x9eab7cc8, 0x451c30d7, 0xc221caad, 0x6c2fcd2d, 0x8cc026c1, 0xf8c2842f, 0xc5c30d58, 0xd63569a4,
+    0x4351f388, 0x361356c4, 0x33bab5c6, 0x9c7fc90d, 0xa7bfd761, 0xab7b0cc3, 0xd9ac8fad, 0x185343eb,
+    0x2e5a03ab, 0x468acc7b, 0x2a2dba61, 0xb2a8e02b, 0x881430c6, 0x4ab77240, 0xbb3a669d, 0xfdf1116f,
+    0xcbabe160, 0x4765848f, 0xa146d72c, 0x1cd33f0f, 0x56c90b33, 0x37c02971, 0xefb79e44, 0x30bf56eb,
+    0xdae10acd, 0x07b4d383, 0x1e25a001, 0xad8d9f04, 0xe24cae8e, 0x97bae9c6, 0x533379e9, 0xd620a605,
+    0xa2da5246, 0x5fb2eef8, 0xa12ba17a, 0xf641d13e, 0x3f4d7acf, 0x7c5ba9eb, 0x6e738dba, 0x8944f4b0,
+    0x4971bdde, 0xa3ea029e, 0x23cc0792, 0xa3a11783, 0x5517ab7c, 0x749443c3, 0xb9c5017d, 0xe4fda4c1,
+    0xbabf19bd, 0x13a2d1c8, 0x3baeabfa, 0xbccdb508, 0x26d7ea57, 0xc7ee55b9, 0x57374a65, 0x88d97e25,
+    0x3a5c705b, 0x5acf50ea, 0x64b82b1e, 0x26f2a951, 0x51110f5e, 0x2e14cd07, 0xfaead79e, 0x73f1b691,
+    0x2c8bcda1, 0x97fd16f3, 0x2d598971, 0x34f184c1, 0x7e7e796e, 0xa90348ea, 0x0d955b38, 0x04c2543f,
+    0xe3216cd9, 0xcd997118, 0x489c2856, 0x2db50521, 0xefe1f942, 0xd687a082, 0xd6aef1f5, 0xd14235d8,
+    0xe8e7a2c8, 0x7bc0559c, 0xc9ef3414, 0x3ba192a9, 0xa3ef1604, 0x0383e955, 0x7b0dc23d, 0xddbe658f,
+    0x2b59f783, 0x4832347b, 0x175f577c, 0xd13342be, 0x84e3f7b5, 0xf2d634a5, 0x51e7c310, 0xc46f32b3,
+    0xde0d0323, 0xa058bc0d, 0x75a498a0, 0xc413ee30, 0x1f9f8c5b, 0xb94fc746, 0x76638778, 0xb076cd4e,
+    0x7d24427f, 0x9ac640a4, 0xb60e87bd, 0xe74427aa, 0x5b8923e7, 0xacb8f6b2, 0xe50c7a4e, 0xa45bebe0,
+    0xee597076, 0x9cd8dfb8, 0xd5158e55, 0x8963ec9f, 0xb53a0382, 0x56c0d167, 0xf3b89aa8, 0x280b729a,
+    0xbf9a50ca, 0x46466800, 0x393db898, 0x2a3da805, 0x4f51fd3c, 0x769965d2, 0xd5be0402, 0x09ad9031,
+    0xb99a5002, 0xfc1011dc, 0x915ef9bb, 0x98331c7d, 0x562e25e3, 0xbf1ee67c, 0x466964b8, 0x6cfd741a,
+    0xdc732a44, 0x21220737, 0x0329bac4, 0x7fd1f03b, 0x3593844e, 0xfa967e9f, 0x9f5ee508, 0xe3d860a3,
+    0x48e3b418, 0x3121c39d, 0xf75900fc, 0xd4c0d7ed, 0x2e0ee0d1, 0x59238e49, 0x4ff9251d, 0xad35b66f,
+    0xdc94f488, 0xf21d9e07, 0x7c575f3f, 0xca53f585, 0xe83e6226, 0xc9ea10a8, 0x9bc99b80, 0xa8f5932f,
+    0x46dc75b6, 0x98cc715d, 0x9bb5b318, 0xdb36e824, 0x9f2261a1, 0x8d0fd352, 0x4498bd3a, 0xeb94ba5c,
+    0x8f02063b, 0xa580e294, 0xe66ebd06, 0x960ef87b, 0x9a469573, 0x55a128f9, 0x61e1325a, 0x23dcfc8f,
+    0x173ca19b, 0x854e9e7c, 0xad0ef71f, 0x4e92f4be, 0x99df52ab, 0x1319803d, 0x8cbd4496, 0x941c7dd8,
+    0x76b7b70e, 0x9dba102f, 0x61f99b77, 0xecfe8861, 0x7b9d6356, 0x406bfca5, 0x0f8e57bd, 0xf577b210,
+    0x59e4a875, 0xa1cb8fde, 0x55dde3e9, 0xea9db952, 0xb7d8f5e7, 0x6ff717a1, 0x22130210, 0x394b17bc,
+    0x335a4006, 0x560b2431, 0x07e19dcf, 0xc8668088, 0x29ea3066, 0x0460f013, 0x99009cb1, 0xc13024ea,
+    0xcd6b8700, 0x159cf5c8, 0xa69f2844, 0x8ad6903f, 0x349466e1, 0xfea6661d, 0xea3af68d, 0x4d0454bc,
+    0xec874189, 0xa8de623e, 0x70863042, 0xed8a867a, 0x62f8c99b, 0xca4b82e0, 0x888efe6b, 0x2967327c,
+    0xcdbdb3dd, 0xcccad691, 0x95d1ecde, 0x4d219213, 0x84d28108, 0xf4320b83, 0x31c10523, 0x1093c15c,
+    0xb2d645be, 0x38b45a71, 0xe4c0321d, 0x213c1ee3, 0x332ed493, 0x9e8267f4, 0x5be57518, 0xd0f961e7,
+    0x086bd41e, 0x5c2a248d, 0x8387df7a, 0x88001fd2, 0xdf5e67ff, 0xbd409121, 0x9c2c38b3, 0x25a27a4a,
+    0xa79bca8a, 0x6b977621, 0x18dedb4c, 0x7ed3d910, 0xfde97c67, 0xc1da8427, 0x8b20255f, 0xb9b64fa2,
+    0x2572c131, 0x284eef51, 0x78d597b7, 0x4fe14fc0, 0x4d5c60bb, 0xe56ab8d8, 0x3bc46e80, 0x658dfe52,
+    0xb6df1692, 0xbd62cdf9, 0xe27cf17c, 0x6b779995, 0xcd5fa97c, 0xfaefbc89, 0xb92cff86, 0x2a5d5bf6,
+    0x0a018237, 0x44031fb0, 0xda75217f, 0xc2989014, 0x66da9434, 0xfeb317db, 0xcb3669a2, 0x262e280b,
+    0xbf9ad79d, 0xef1ee209, 0xb9d63387, 0x81df849c, 0x8c0e4da5, 0x094c53c3, 0x296575cb, 0x55fc9295,
+    0x0638a17d, 0x29d1bb36, 0xca119cf0, 0x859a92de, 0x856a8e83, 0xec54d1ac, 0x2d72d7b4, 0xe09c36ca,
+    0x2142d1c3, 0xa105f5d1, 0x61d71e9b, 0xd754fba6, 0x6670bec8, 0xf874ef1e, 0xdac02e96, 0xe0e4a9f2,
+    0x58bc83b8, 0x75d17e20, 0xefd04af5, 0x2c4b6934, 0x63d23d50, 0xc55ad868, 0x107b4a8f, 0x240f96a1,
+    0x6f02f4f8, 0xd4a622be, 0x1969b4c9, 0x5eb02ca2, 0xce326a90, 0x00e21074, 0x0ee1d86c, 0x75f18e1c,
+    0x5aace435, 0xd4a2f404, 0x21651187, 0x84385da4, 0xf16e0d55, 0x36116491, 0xbb1079df, 0x6ade7c76,
+    0x51a21bce, 0x34f6c35c, 0xe0884fa4, 0xc0d90005, 0xdac13665, 0x2f466f34, 0xd992bfbf, 0x0f97e9c4,
+    0x5175337f, 0xc8ad2093, 0x80d6d9fe, 0xa95982c1, 0x056da32a, 0xdcf972c9, 0x3ef9776a, 0x01cabd0d,
+    0x9b5cac38, 0x4f83727e, 0xc1380af4, 0xf693a815, 0xe5ff1bd9, 0x36833348, 0x4f11cec6, 0xabaea363,
+    0x13044633, 0x7575eba8, 0x82562a72, 0x5ff2e956, 0x96e94e70, 0x250ea740, 0x8f48e0cc, 0x6de35684,
+    0x67dbd237, 0x005ba44f, 0x434f8b81, 0x80ab8232, 0xfc69e4e7, 0x0da59c91, 0xff09f051, 0x4b5baf71,
+    0x7975f87a, 0x5ec87f04, 0x4202803a, 0x18ef1543, 0xe1e7889a, 0xad4d44f9, 0xb31ba7e6, 0xd63a0871,
+    0x94931fc0, 0xcc0e80a7, 0xab8ec614, 0xceb09cff, 0x3dd6e860, 0x5930433d, 0x703d08b8, 0x12275448,
+    0xd79bc4cc, 0xbec63746, 0x2dbadc82, 0x9d1992fa, 0xb13b7d55, 0x23731c7a, 0xcb3766bd, 0x29a68e7c,
+    0xe96323a6, 0x6d4bc0c2, 0x7e66c383, 0xc3e39f07, 0x3fdadbcd, 0xdfe3647a, 0xdb9d7bfc, 0xea5252fe,
+    0x2bbfa5c3, 0xaa8aa968, 0x3fbb3842, 0x0c94ab19, 0xe3baec7f, 0x6f2b6ac4, 0xb8edde03, 0xa2a6a360,
+    0x8e719788, 0x6991e33e, 0x2734bb90, 0xe6113e13, 0x9c169c45, 0xedf5437b, 0x10073b00, 0xef1e7456,
+    0xab4d3b48, 0xc483b8b4, 0xe65b338e, 0xe9ac1dcf, 0xad243312, 0xab8b899b, 0x4151d16e, 0x2edf4d7b,
+    0x23476d27, 0xba088e88, 0x57dc4eb5, 0xa442990b, 0x89c89d2c, 0x92d3e8a6, 0x1a6d9d9f, 0x466a4a1c,
+    0x7593e7b9, 0xe6b42a7d, 0x11501dbe, 0xc5247170, 0xaf767a98, 0x76b11983, 0x2b60f54a, 0x40d4ae7e,
+    0x7db6658e, 0xc05c3c8e, 0x3b8ef9a6, 0xd9fb5cfc, 0x9c28f54d, 0x114f77bf, 0xc8500c9e, 0x4250cfe9,
+    0x9389b0cf, 0xc04dc5d2, 0x332dcdbb, 0x26114d12, 0x569a0894, 0x86b2df73, 0x874d47f5, 0x68a2d82f,
+    0xc5cadda1, 0x88e06c7f, 0x79392a04, 0x10936a4d, 0xa153d5f8, 0x33427d09, 0xb5592574, 0x4e2ea72e,
+    0xe5370b2b, 0x8a5e8abc, 0x47754762, 0x113d7b77, 0x76c2ed11, 0x88bc703b, 0x15fa9dc2, 0x8cd4cbb5,
+    0x282693f7, 0x9d4219a1, 0xc8a5314b, 0x063ccd82, 0x04aa64f6, 0xb311d0c1, 0xfa2f0492, 0xa793277e,
+    0xcd7cde2f, 0xb91c4f14, 0x6ae62fcb, 0xfc3acc8a, 0x35db3c1b, 0xcb26fc95, 0xe77e0145, 0xa8d3f86c,
+    0xac3568aa, 0x58670d36, 0x91b3dab4, 0xe582841f, 0x5dd4d807, 0x2d0d66c7, 0xbcc976b7, 0xaac9e417,
+    0x0aed65b7, 0x64df6070, 0x9feac3a9, 0x8aefc594, 0xb5495ba7, 0xcaeb85d5, 0x3499dea6, 0x95dd33be,
+    0x00000000,
+    0xde9dd51e, 0x9d06650f, 0x8082e785, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6,
+    0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000020859248397665137\
+                         52338888384931203236916703635113918720651407820138886450957656787131798913024 */
+  { 0x00000000,
+    0x50cf068d, 0x05f2c12e, 0xe98f6370, 0x410de0f5, 0xd5a16781, 0x44565ccd, 0x1c303219, 0x1c7bd9ec,
+    0x4d532118, 0xe8ebd073, 0x5bd88145, 0xe346ba21, 0x3cc4dccc, 0x44b09292, 0x91f79a58, 0x019b9314,
+    0x69a796de, 0x65b39150, 0x8eb51d50, 0xb21485c2, 0x2cbf2b51, 0xcaacaf8d, 0x85cdbe79, 0xee3121fb,
+    0x8d120323, 0xc97b8f24, 0xdb907fbe, 0x17d76600, 0x1c5c4504, 0xe5256d8a, 0xe475ec1e, 0xe618ddec,
+    0xa37fdf97, 0xe3a42df9, 0xa89e41d9, 0xab839719, 0x5e88a7c4, 0xedd943e4, 0xd3737216, 0x6bd1f4df,
+    0xeab1cb19, 0x157d4663, 0x254e3694, 0x2c6fc8f6, 0xa29eb8a1, 0x61a6e022, 0x20b77970, 0xb3a07afe,
+    0x058256f3, 0xcf979f4f, 0x73188419, 0xec9a74f2, 0xd5efc946, 0xabed831c, 0x81756ab6, 0xdbcc1dbf,
+    0x8863d473, 0x9b70eccb, 0x260844f4, 0x01311188, 0xb337ae9b, 0x966b08ec, 0x3efa0f5d, 0xf1e6b5d8,
+    0xe91ba8c2, 0x334757e7, 0xc60655e2, 0x7b6348e4, 0x1c648f77, 0x25f3430b, 0xa98a8a6e, 0x0d74d5f3,
+    0xacc20b04, 0x0d0e638e, 0x9d5c43bb, 0x7ff05adc, 0x9fd916b4, 0xfebc7409, 0x8b7f717a, 0x02f46955,
+    0xee8d8a68, 0x75075f84, 0xafc6a79a, 0x10438645, 0x56040819, 0xaaf0072c, 0x1accdcd9, 0x44a5a807,
+    0x67d831ce, 0xa645e7b3, 0xd954e047, 0xb416a7ea, 0xca78c119, 0xed4ae0eb, 0x056b8b3d, 0x22983aca,
+    0xba0c1c89, 0x1c5d8c19, 0xc52a3ce6, 0x2025940c, 0x8afc1909, 0xdc87c6bc, 0xdeb13377, 0x645d25e7,
+    0x7c8be548, 0x3af970ee, 0x250c17f6, 0xb68f4cbd, 0x853dd287, 0x626a47b9, 0x8b445225, 0x2c692f22,
+    0x351f8ece, 0x6f9fcc90, 0x4ce77675, 0x286d4f91, 0x66fc9715, 0xb8e35605, 0xeb7efdd3, 0xa9082822,
+    0x0451786d, 0x5804516c, 0xfd9e9fd9, 0x5f1890ed, 0x96ea62bd, 0xf35e018d, 0xabf71e19, 0xe903b8ab,
+    0xd9ed34dd, 0x0de4fc2b, 0xb94a7bb0, 0x384afec6, 0x2768a022, 0x5036398a, 0x04d4c2d8, 0xf4dccfae,
+    0x62b9313b, 0xa243a8c4, 0xad41008d, 0x87083ce2, 0x08523677, 0x031e32b5, 0xbf3af279, 0xde2af3cc,
+    0x8364f253, 0xaea6d13d, 0x6a2e72d0, 0xdbbc23dd, 0xc0cfeb73, 0x185201b4, 0xf64b910e, 0x307ccfeb,
+    0x340da1c0, 0x6233dbff, 0x43e11903, 0xe8b495b1, 0x716d1dbb, 0xd71b8c8d, 0xa0e64206, 0x0d69ef2a,
+    0x352afaf4, 0x8f4ea314, 0x07e2a4a4, 0x5048afd5, 0x3a9acec9, 0x0819f908, 0x5f8837ad, 0x6e1ddf18,
+    0x74615051, 0xef74c6a2, 0x4cab5800, 0xb7333d10, 0x4168da09, 0xd0f32594, 0x9dd6b16c, 0x61bcb418,
+    0x22b49a3c, 0xd77b742a, 0x3f60e255, 0xa8d2f930, 0xb4379474, 0xd7d4bada, 0xd65059c7, 0x7141a3b7,
+    0xeedcf1a2, 0x50394419, 0x79909909, 0x780c8698, 0x0f34593a, 0xafa90063, 0x3e8897a8, 0x8bbe48cc,
+    0x6300db98, 0x1651cae1, 0x28feb0ce, 0x5949efa6, 0xfa2422be, 0x5276687d, 0xf0f81315, 0x6f3d78b7,
+    0x67260ee9, 0xb7fed3fa, 0xeddaa788, 0x25d5f4f3, 0x795727a5, 0xc5f6b15d, 0x60813dc9, 0x8b7f01ae,
+    0x17f77987, 0x1e2fb944, 0x4b1b7d84, 0xf9ad38d1, 0x8b675c2f, 0xd1dc984f, 0x0d1a3678, 0x64aae4ca,
+    0xcb4c4973, 0x5b6ef82a, 0x9f0d0329, 0x4d5edff9, 0x6e4eda79, 0xb0a3c8e9, 0xec30caa4, 0xdee3693f,
+    0xbfe8e595, 0x9c74597d, 0x2d59f09c, 0xe787fdc1, 0x5c313976, 0x8939dcfd, 0x587dddc5, 0x1e837708,
+    0xfe6e1cb1, 0xdbb26c70, 0x5104772f, 0xe0005467, 0xd5fa439b, 0xafb3a45c, 0x7b0ae507, 0x68b57a56,
+    0xe6e04689, 0xbc040e90, 0xa75c7165, 0xee26eb29, 0x73d0051a, 0x1f20cf3d, 0x3cf08427, 0xd8859611,
+    0xe5b9c3e9, 0x49341fed, 0xdd39dcf0, 0x40985f6a, 0xce0b2c17, 0x60415df1, 0xc15ac2e7, 0xc89a7552,
+    0x4de3951d, 0xe1477e59, 0x5acc22c6, 0x25c22205, 0xe6f3e0e1, 0xa834ae00, 0x4ed4e4f0, 0x055f85c5,
+    0x0e1cc9cc, 0xe3b69e02, 0x846740e7, 0x7e99d227, 0x3d1b51e0, 0x4d1cdc91, 0x5179beb7, 0x3a22ca20,
+    0xcb39f2a6, 0xe9b8c66f, 0x37a29b98, 0xe127b008, 0x3a401268, 0x84819820, 0x8f4dbedb, 0xad044c90,
+    0x19d6ee6e, 0x3af09318, 0xa9af0b47, 0xa1ac81e3, 0xb2b6222e, 0x50dcb00e, 0xb47a8efb, 0x74080bc0,
+    0xc5e4149e, 0xcd26f856, 0x381a0fcc, 0x4f35dfa1, 0x18a68418, 0xed969696, 0x742c6e6e, 0x65dc960d,
+    0xd5651cdb, 0x58a58292, 0x4a7ef9b6, 0xd0faed1b, 0x5ee5fac7, 0x1bd43f5a, 0x24feec71, 0xa00e10f6,
+    0xc8772290, 0xe43c4c41, 0x48fb4971, 0x04d42cf5, 0xe857feb8, 0xc4cabd4a, 0x3f0d2871, 0x5c709d7f,
+    0x9de4c4ae, 0x55077425, 0x0d7736da, 0x7cb44b58, 0x49d678b9, 0x8135caef, 0x84700abe, 0x631186f2,
+    0xe3ae99b4, 0xd91603f7, 0x3eb7fe7d, 0x6c8a11e9, 0xf1dc29f6, 0x2b9a38d8, 0xe07a7daf, 0x7a689f63,
+    0xfdb10d28, 0x779fdd61, 0x894d583b, 0xeb69523c, 0x2c824eef, 0x08fd7501, 0xc35bd408, 0xbab89524,
+    0x00a1a8ce, 0xe1a7cabc, 0x158739cf, 0x91964fd6, 0x4e9593d5, 0x39312ffd, 0x72e39b6b, 0x812fa41d,
+    0x07933e10, 0x1d97ce29, 0x371b0430, 0xc2fa7883, 0x297c6785, 0x155e5b76, 0xeaf443a7, 0x1e9d5c16,
+    0xd6603adc, 0x8bff445a, 0x99fb7bbb, 0xa62eaed0, 0x2c0e1353, 0x27b54165, 0x4f9d4e8e, 0xe6263fe3,
+    0xd29eb4bf, 0x1a1fdb71, 0xc0a5cdf5, 0x85734727, 0xe00c1163, 0x67a9875d, 0x393b8c97, 0x692c9393,
+    0xad52ceae, 0x514ccee3, 0x62102ebf, 0x08f81f8c, 0x4eadb642, 0xe050ad26, 0x78334ae2, 0xa0c14be0,
+    0x2b7f12bf, 0x735ff412, 0xa6a0579d, 0x44f5edeb, 0x9e7846ff, 0xcc03ed1a, 0xd35a8b76, 0x9aec1982,
+    0x68824c50, 0x21d9f133, 0xdcdf7e5b, 0xc011d680, 0x0f238545, 0xc42728cc, 0x4747f6cd, 0x6772aa2d,
+    0x490b42c8, 0xdc2c1251, 0xa055d4b6, 0x37435e1b, 0x9c21cb17, 0x33906eba, 0x5a2ccce3, 0x4aeb2e6d,
+    0x6a69d51d, 0x2c6214cf, 0xba7a9e3d, 0x14480a3e, 0xdd440215, 0xdd76072d, 0x59caa57e, 0x0eb46f16,
+    0x32d13f38, 0x70e27ccc, 0xe8414a44, 0x54386700, 0x532e224d, 0x8ac40823, 0x447ad296, 0xb8f1cca7,
+    0xe925ee32, 0x07c8ef47, 0x0ff82002, 0x408b1d1f, 0x2a4c3008, 0x3909a5c7, 0xe655ad16, 0x869ee40d,
+    0xc7a8b90b, 0x2e2d230b, 0x4b4c3b9c, 0xbba6c345, 0x844cc068, 0xed93f8a4, 0xf5b9f385, 0x4ecd0cfa,
+    0x197e7eed, 0x4f25515a, 0xe65fdb20, 0xe445ec0d, 0x64d6421c, 0x4c3082eb, 0x462a2d8f, 0x861e8f27,
+    0x9357a6d2, 0xa62157db, 0xdd32813e, 0x8137243c, 0xed53535a, 0x6194f0b6, 0x3fc7a0ca, 0xea395ea5,
+    0xbc14750c, 0xf07af191, 0xdb710ee9, 0x1d2bf293, 0xed26f105, 0xc506b66b, 0x7b046b01, 0x13c4b4c8,
+    0x4b5c64e6, 0xdf7ad0f5, 0x5fb095d3, 0x292719fd, 0xa0b75478, 0x2ff7bc3b, 0x880de5c7, 0x2593c8ae,
+    0x05183825, 0x6cc22432, 0x8a3d6116, 0xf0151132, 0x9daef901, 0x144eeed5, 0x2d21ff80, 0x2bd37a8c,
+    0x17c349c9, 0xadb42724, 0xc7689aa2, 0x639f39cd, 0x51366171, 0xd1663e86, 0x546acb21, 0x3e3ef548,
+    0x62a1c998, 0x7c34d1cd, 0x1a081331, 0xce5602d3, 0xaf2b9e73, 0x012838a0, 0xeb63fc20, 0xa87a047b,
+    0x586d6002, 0x5d2268f4, 0xd378b08b, 0x36b6cab7, 0xa607f8bd, 0x1a800b2b, 0x1282b070, 0xc74736fe,
+    0x31920b68, 0xe0c2fe14, 0x22313f42, 0x0b3c86d6, 0xb8189f24, 0xc24b70c4, 0xd58bde2e, 0x8bd694db,
+    0x80cce11d, 0x460ac8c6, 0xa2c494c3, 0xc90452c2, 0xae2cb4da, 0x9cf4c4fa, 0xe037f094, 0xbc63b7e9,
+    0x7f2deac0, 0xa2260fff, 0x79d8ddc2, 0x2bacb106, 0xeda14785, 0x34daf20b, 0xc5029407, 0x829b1c29,
+    0x027b56c5, 0xda5ebb52, 0xeaa864fd, 0x17d37fd0, 0x481042aa, 0x66c1be75, 0x9f08a432, 0xb67cc35b,
+    0x73327fac, 0xbeb5e5b7, 0xb04e7748, 0xa1f32980, 0x24dc0861, 0xafb66d18, 0xaba01367, 0x00a40828,
+    0x3b667369, 0xf8b338f2, 0xa4fb4ec9, 0xfe9e9f1a, 0xa0ed7289, 0x8f51cf90, 0x2b2cfe89, 0x73787343,
+    0x7125096d, 0xfca76e6d, 0xf98af81d, 0x17f613bf, 0xcce5add6, 0x626396b0, 0xafe3e461, 0x27f7f3b5,
+    0x7593a89a, 0x7213dfce, 0xccfb7cf3, 0x942c8c5e, 0xc7123e16, 0x83cb7419, 0x8e70668d, 0xe509a9ef,
+    0xb04886e0, 0x3ca0736c, 0x805ddf36, 0xd99cfae9, 0xe099a71b, 0x80787186, 0xb853664c, 0x7ec155be,
+    0x74d24bc2, 0x19cba3e3, 0xd90d0c79, 0xfbf66f42, 0xe97e5e6b, 0xa04d05ba, 0x676f1a43, 0xce4a13fe,
+    0x30f9298b, 0x5e6c2c0a, 0xd78014c6, 0x8c8e8f77, 0x2f080779, 0xc55dac81, 0x142982af, 0x5b9ba3dd,
+    0xbba48c91, 0xed49370c, 0x8c65eba1, 0x3130a213, 0x2dce5145, 0xa80cf178, 0x4b7b2d24, 0x6d3d593f,
+    0x83b8d88d, 0x634b89f4, 0x421eea9a, 0x521865b9, 0x5bab0685, 0xb3042c21, 0x76547163, 0xb7b4ed6b,
+    0x84e4f3db, 0x2f82e684, 0x401f830a, 0x2f480386, 0xb4cadc1a, 0x2fbdf27d, 0x24b7d5ba, 0x1812d1c5,
+    0xf1fb808a, 0xf6bf4f17, 0x36714bbd, 0xf52443be, 0x55909c90, 0xd88da916, 0x53409874, 0xdb9decf7,
+    0xf9503015, 0x9997a87e, 0x4292f459, 0x14525f11, 0xa4a6036b, 0xe255e319, 0xd2cde3ef, 0x5ba846fd,
+    0x82b6e4ae, 0x60ed705a, 0x57f409da, 0x7f4c10be, 0x08fc460a, 0x887412ff, 0x2af1b8e0, 0xbcb5aab8,
+    0xdf479a18, 0x839fe005, 0x0068bc0a, 0x98e3d05b, 0x7e21b978, 0xe4e40082, 0x7bec59f8, 0x8370b330,
+    0x4b41dbe6, 0xfdf3e137, 0x2a37c6d6, 0xe5e85709, 0xb44a2c37, 0x267a3312, 0x8f40c546, 0x02edf56b,
+    0x5c365b3c, 0x0e57a9b4, 0xda9e859c, 0xe36ce9b5, 0x45f81446, 0xd0975833, 0xc73159da, 0x3bebf825,
+    0xc8b18cea, 0xf9d5a7ed, 0x3a3be40b, 0x6dc8e7ca, 0x02eeefb3, 0xd8747902, 0x4efaa3ca, 0xb3957234,
+    0x57196b6e, 0x6474cba0, 0x0915d56f, 0xed0ba309, 0x68ebf93c, 0x7841da5e, 0x45273046, 0x8488f4f2,
+    0xf6425666, 0xcec0c0f6, 0xe2fb8d48, 0xc839d8d8, 0x2e9b8297, 0x94b6bee7, 0x9eddd938, 0xa2214b0b,
+    0x2d31f5a9, 0xf9b1fadc, 0x786381f2, 0x1f1d6643, 0x13a6b89e, 0x8e5940d2, 0xf7d809ae, 0x15f5034c,
+    0x4692b011, 0x8baf6763, 0x43219d2e, 0x48fd9192, 0x8e1db6a4, 0x48e7c894, 0x85dc8028, 0x82ae957f,
+    0x61072fe8, 0x8ccabf73, 0x7f09695e, 0xeb25203d, 0x3e70dbef, 0x87034926, 0x0cbf5b5a, 0x0c6296ab,
+    0x2290d0e3, 0xd235d132, 0xa0817bfc, 0xb55b9a73, 0x842ca2e5, 0x36843b47, 0x93ff43c6, 0x0c3b8d78,
+    0x3c559022, 0xf493539e, 0x208ae231, 0xbb0dbbf1, 0x13c92d69, 0xecd516e0, 0xad9ce994, 0x78d481ed,
+    0xb70871b4, 0x3601fbda, 0x646ea65e, 0x975fda69, 0xc5ef6cc5, 0xc35e8fea, 0x9049cdbc, 0xabb23bb6,
+    0x6583676b, 0x978f9756, 0xf9fca9e8, 0x04a4fbd8, 0x3a3d23c8, 0xc09fc4a6, 0x9658e2a9, 0xbbd42c9a,
+    0xb94c3de1, 0x6c049a47, 0x91baa7de, 0x0a1bafb3, 0x894a78d0, 0xd7734f69, 0xb118a68e, 0x06ea13b1,
+    0xe17a5b7c, 0x605b0468, 0xb280b355, 0x2d0bb737, 0x6e597808, 0xe0425708, 0x6ddacb52, 0x219fc01d,
+    0xa6a981c2, 0x58a76d41, 0x9bbe1813, 0x8809b809, 0x31ca9db3, 0x7d508175, 0xa6cfa4be, 0x8760bf64,
+    0x9ebc42f1, 0x6f150e86, 0x472f814b, 0x17e89103, 0x60d0ef35, 0x94b91a54, 0xcdd07cd6, 0x5c32c19f,
+    0x0cf94909, 0xbf5311d1, 0xd8341665, 0x5cab017b, 0x991fea94, 0x5ecb59e2, 0x8889fa83, 0xcf6c0fb8,
+    0x2c15d0bc, 0xb979dc64, 0x74bdeebe, 0xab7c4f45, 0xb4217acc, 0x9bb626b5, 0x39367356, 0x4f2dc94b,
+    0x51f538b7, 0x097288dc, 0xe09ed89b, 0x72b31185, 0x8c4595ec, 0xa0f5694a, 0x2f69aed0, 0x8bd2b7e4,
+    0x32a9abc9, 0x9e317072, 0x424cccb8, 0xe17a58a1, 0x28df0ab7, 0xac69ded7, 0x8e802fa9, 0x0ee85fa9,
+    0x5ed504bd, 0x0ea1d3d4, 0x92fe3108, 0x0c3e7190, 0xbe21403d, 0xb9db30d2, 0x464ff288, 0x326078b6,
+    0x92087d0f, 0x3067b647, 0x20e160ef, 0x81cbcd50, 0x0635b176, 0xccd1412e, 0xee08b87e, 0x0c249b80,
+    0x1f6feaf9, 0x0109da7d, 0xc9dcd4fa, 0x8e81ae27, 0x1913c832, 0x4d142f75, 0xa98edb86, 0xeb5b3f16,
+    0x3821840f, 0xa335122c, 0xa570deef, 0x3ca4b729, 0x3428deb8, 0x3e2f3dbb, 0x17b927d0, 0xa8ee441a,
+    0x5230566c, 0xc1c6c36d, 0xd0154172, 0xcce4a7c8, 0x031197a8, 0x92b68e2a, 0x02ec5351, 0xa3e4e0fa,
+    0xb1b91484, 0xc9ed5620, 0xd32852c4, 0x0ee1ee94, 0x8028ad45, 0xfff90c5f, 0xa2efc8d1, 0x6e6edee4,
+    0xfb955a21, 0x1415d6b0, 0xcdc7e532, 0x92403780, 0x35779893, 0xa76e6deb, 0x6a1e770a, 0x4e7e38fd,
+    0x5d4899f7, 0xe06e886f, 0x2d9453b1, 0x910839a9, 0x22795f8e, 0x7d9c6a7b, 0xb98f1e7a, 0xb9ddcaf5,
+    0xfa1baad9, 0xff47ab15, 0xae234e6c, 0xb7e79df0, 0x440610a1, 0xae687cac, 0x145fcb08, 0xf1bd5714,
+    0x699db3b6, 0x2ec00cf4, 0x89bb87b4, 0xef946b14, 0x1b4da020, 0x5dded304, 0xebe824f0, 0x992e2763,
+    0x9df010f4, 0xdca95f12, 0xb913dc75, 0xb117bfbe, 0x75840bd2, 0xb223e7e0, 0xf36030dd, 0x6c6be992,
+    0x1ddaace3, 0x510fcd50, 0xf14cfe81, 0xb295c7b4, 0xa543ae22, 0x2b896b86, 0x9f7d3d56, 0xf4719718,
+    0x29368df8, 0x3ca83c3a, 0xef4ad98a, 0x024256ce, 0x250abd53, 0x0fc39d3b, 0x421aba58, 0x530f61a0,
+    0x715132ea, 0xb3e8adc2, 0x330c060e, 0x2e401c84, 0xbb679c2a, 0x8e923c67, 0xc88953cc, 0xccd1a63e,
+    0x4fcb3d8e, 0xc8fc5d5c, 0x3ea55a6e, 0x63a3c5a4, 0xfcaaae2c, 0x066c5184, 0x304733ed, 0x4d7c35ba,
+    0xa5c96082, 0x62c63198, 0x62e4b782, 0xa30cbad8, 0xab4a6390, 0x64177de0, 0xcd6b43d2, 0x63c6bf66,
+    0xc7ae5b99, 0xe7031cb9, 0x3d8351df, 0x4f2e4edd, 0x57129422, 0x65f9c190, 0x7c222b68, 0x56428cea,
+    0x16b0c651, 0x34f40169, 0xabeea182, 0x807e1b99, 0x847e161f, 0x9a28faaa, 0xce63788d, 0x58b09daf,
+    0xd16a09ce, 0xcb09f851, 0x13338444, 0x27f4ab89, 0x6cecef12, 0x05a7eee8, 0x86704d90, 0x767c7d6d,
+    0x784c9b12, 0x64b76c58, 0xf4e03533, 0x5ccd3897, 0x2d87d552, 0x45640052, 0x18261f05, 0x51ab8d67,
+    0x990d8521, 0x50aa7a54, 0x01de641f, 0xcfa3bc47, 0x249cee6c, 0xc65d7b01, 0xfc5b8585, 0x7cc93608,
+    0x48527f2d, 0x4d2efb82, 0xf666f9cb, 0x526d6d61, 0x969c6762, 0xc95a4eb5, 0x1e350e49, 0x1cce830d,
+    0xebb173d0, 0x5e2a7209, 0x378d2821, 0x128bcd57, 0xc813aa09, 0x98e9e2d0, 0x0f71e36e, 0x9dba3389,
+    0x58d4b4de, 0xefc73237, 0x02519488, 0x687195d8, 0x41ce1262, 0x98b54176, 0xaf3f67e7, 0x059f079f,
+    0x9373f920, 0x0c2d74b6, 0xdbf1e173, 0x410f46c0, 0x4f6975ba, 0x37eababf, 0x9ced3b48, 0x18517ec0,
+    0x6369cfec, 0x02bd2e6c, 0x336a9b7b, 0x63bde000, 0x8ff62a01, 0x77e7ed58, 0x5bb06af7, 0xc3ded09d,
+    0x00000000,
+    0xef4eea8e, 0xce833287, 0x404173c2, 0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb,
+    0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000010429624198832568\
+                         76169444192465601618458351817556959360325703910069443225478828393565899456512 */
+  { 0x00000000,
+    0xdf24e33e, 0x892f111d, 0x6ae6e3ee, 0x84d32627, 0x6e0f69ac, 0xaaee0309, 0x555c589f, 0xc0aba691,
+    0x5c9ad212, 0x6eaf2135, 0x7554fdb8, 0xa9051ef6, 0xdf43ce9f, 0x5a9fdc01, 0x8345fcde, 0xd2bbad6c,
+    0xef80885f, 0x062dd36c, 0xc40ecd38, 0x801747b7, 0xd9a5f46e, 0x009f0209, 0x64238151, 0x7dc14720,
+    0x4d7925c4, 0xfa070b05, 0x4f5f8934, 0x5d1f6c09, 0xc9f6c058, 0x0331950b, 0x5a798873, 0xd4309b47,
+    0x819ce9d4, 0x86e3bc95, 0xbe5b4a02, 0x62022579, 0x30fe6665, 0x8cd37018, 0x798cf4f9, 0x1d2bd5de,
+    0x0a6cde75, 0x0beef353, 0x43e22472, 0xbc381684, 0xbd5ee681, 0x40c1faf6, 0x2afe7da9, 0xaaf2cfb5,
+    0x9815d6a7, 0x963815a2, 0xb66b0e14, 0x4b92c8e0, 0x76535a4b, 0x7e7287ed, 0x1822ae4f, 0xd1106d02,
+    0x3cbbaf08, 0x270a679d, 0x8e3f8d08, 0xad7bf4cd, 0x68b8df5f, 0x10f359c5, 0x545d7ac8, 0x0ae4afab,
+    0x9a9eda51, 0x50147dfe, 0xe789629d, 0x85dac8d4, 0xf455b178, 0x7abc2954, 0xb5611244, 0x0d32635b,
+    0xeb092e82, 0x09ee896d, 0xee7bb7fe, 0x06a5486a, 0xdba7dba7, 0xdbb0cc0f, 0x3dcee07f, 0xd97e2057,
+    0x2e787d84, 0x0a202f1e, 0xb02e4e1b, 0xda252c9c, 0x2d9976b0, 0xbba7e151, 0xcd85ea37, 0x973939af,
+    0xb42a2ada, 0xad58bf1e, 0x67223bb0, 0xf9d49fb4, 0xa32ea9f3, 0x62a7dd08, 0x39b672d3, 0x13d1161e,
+    0xd0703792, 0xa82191ef, 0x9d87bca7, 0xd194205e, 0x32b7fb5a, 0x6432a63a, 0xea55dcb5, 0x130eb4ff,
+    0x6e5437a8, 0x219eabad, 0xb1f8553e, 0x95c1f306, 0x0febaa58, 0x36b3a050, 0x0958e24c, 0x8d0f0ea6,
+    0xeedfa7e7, 0xdeab6cef, 0x82e32026, 0xf0a1922e, 0x49d6920a, 0x8c6e4437, 0x387711a5, 0xd77683a8,
+    0xec708f76, 0x616c972b, 0xed1fb6ef, 0x83fc9553, 0x3d8c34c7, 0x0684709a, 0xb20bf7b5, 0x9f34fc60,
+    0x7f32044a, 0xaea7003e, 0x599b7031, 0x566b1494, 0x950b7746, 0xb3799b5e, 0x4d17d5b8, 0xce4c93c8,
+    0xdf759e53, 0x29d1d6b4, 0x869466da, 0x78dfbd84, 0x1242a6c6, 0x4629bdee, 0xbfb0e0fd, 0x228e7b07,
+    0xd13a0311, 0xecdda046, 0x9255281b, 0xb1c4679b, 0x6469639d, 0x55237452, 0xebf66ad5, 0x2db29a6b,
+    0x9aa6a05f, 0xd7ca4b71, 0x45488e44, 0xc0e5c69c, 0x222a9857, 0xe194a287, 0xc2f2a3ea, 0x4b22e173,
+    0xec2160d1, 0x5944c3c3, 0x276a3386, 0x5e443ed0, 0x44a978c4, 0xdd26be7b, 0xeddcb497, 0x7c672e31,
+    0x0386b9c7, 0x304dd534, 0x5c6762e8, 0x4e7459e5, 0x4f6654ae, 0x9d7455c3, 0xc673d3bd, 0xcf943a4b,
+    0x7cbae731, 0x9ead724c, 0xa0c23f2e, 0xec2745b6, 0x59a1b9de, 0xcd45f97c, 0x0b74b1fa, 0x45689ebc,
+    0xc3e710f2, 0x1b8e1362, 0x153fd4d8, 0xf641b7c9, 0x8cecb3fa, 0xcb1e6162, 0xda2a41d2, 0xf1ac7691,
+    0x32296365, 0x93e79e40, 0x7815085d, 0xc5f0be35, 0xab0aec69, 0x6e4cfdc7, 0xc609a839, 0xd39b6aeb,
+    0x29aa1b3a, 0xcb8b60a3, 0xeb47a332, 0x0e2f8f0f, 0x99b02c8e, 0x6c214039, 0x3e7e8bb7, 0x993234a1,
+    0x72bef7c8, 0x9dd8e97d, 0xf3c9fdef, 0xd4b05dbb, 0x6088617c, 0x74afa432, 0xade1032d, 0x47fd536e,
+    0x75339989, 0xda5d2c80, 0x79de1255, 0x3ca7760c, 0xa57279d5, 0xa4addf5a, 0x654a4bf8, 0x226e5222,
+    0x8aa7b7bd, 0xad43b85c, 0x76266f1e, 0xd7f67e7a, 0x7fd094f4, 0x47702ade, 0x4594428e, 0x1653d2fe,
+    0xa351bac4, 0x21042fbd, 0x1d1397b3, 0x1f883a20, 0x1fa0174a, 0x27558433, 0xa9354e4c, 0xece2add5,
+    0xd17c9a87, 0xfcde32ee, 0x9c8d7bab, 0xdb3282f9, 0xdb19a947, 0xffd647b9, 0x08b1ccb2, 0xc25dccfc,
+    0x5ebb3f5f, 0x1f60a6bd, 0x076b349b, 0x689a3896, 0x403b37d1, 0xc49553b3, 0x33da53cc, 0xf2b18759,
+    0x5e7d4c71, 0x78e9157f, 0x40a22027, 0x1c285bb6, 0x29f87e19, 0x2917da2a, 0x09688365, 0x09ab1e6d,
+    0xdc76652e, 0xfe755e6e, 0x0780e4ef, 0x3eb9b5a5, 0xe12828e7, 0x33875309, 0x99b445e3, 0xe63e6d3c,
+    0x4dc682dd, 0x91c65ddb, 0x3f42edce, 0x279a15fb, 0x2a623611, 0xe19a9a22, 0xfe1210a9, 0x3da6d65a,
+    0x720e15c2, 0xa52aa8bb, 0x0c35ab21, 0x977a4d67, 0x9c4aef0d, 0xb5c622db, 0x7bb15c9b, 0x1d2f03d3,
+    0xbd282fd0, 0xbf3bf937, 0xa3fdd9ce, 0x1225ff55, 0x512e9e9f, 0xeacbf436, 0xee0f3641, 0x6543eb9e,
+    0x0c395fe5, 0x99933920, 0xa6e812c4, 0x6e2b6f5b, 0x27398928, 0x969229cf, 0xed30fdb8, 0x158cae32,
+    0x7225857f, 0xbf9f1457, 0xeb351e65, 0xee8e87ea, 0x8c937078, 0x7fc9fb1d, 0xbf386e84, 0xe4fc147b,
+    0x0817302e, 0x6d282d5f, 0x9729ce94, 0x53a758e2, 0xcb49fa53, 0x022b2179, 0x2648977e, 0x29ef4d2d,
+    0x4351d174, 0xf454d2fe, 0xfab16d12, 0xe74fb834, 0x32963bf0, 0xb4c9a9ed, 0xd4d1b9e4, 0x6924b270,
+    0x34f59477, 0xc8a1056b, 0xeefe0e74, 0xf746ef24, 0x60c563e5, 0x0602d9ed, 0x71e5bbcd, 0x06b8cf61,
+    0xb0f55558, 0x86ab3425, 0x3dab6e96, 0xbcf9177e, 0xb4746ef2, 0x1543e5a1, 0xa4aca7f2, 0x4f87cb92,
+    0x28e201cb, 0xda59651b, 0x2d8f004d, 0x95d7226f, 0xdeac9dc8, 0x8d75f3b6, 0xf272d2ff, 0xccbfa56c,
+    0x36afb68c, 0xf1b36499, 0x842d2c56, 0x2d8ba824, 0x3494aa9a, 0xd31a85b1, 0x5d9c7e89, 0xc17bcf2b,
+    0x3c785602, 0xd716cf70, 0x55304363, 0x87df35fa, 0x95b313fc, 0x04cd1dd9, 0x2e9c4ecc, 0xc4d400ef,
+    0x5f5ad242, 0xce581a46, 0xf9b79909, 0x27b0407c, 0x8a0f0518, 0x5ab82927, 0xc309025b, 0xbb206482,
+    0x212b2822, 0xbaed4b12, 0x0db9e2fa, 0x63b2ae8c, 0x9ac268c4, 0x875ab012, 0x613dddcd, 0x51ddeedd,
+    0x84a53ce5, 0x716a0c4a, 0x67152d35, 0x0e124481, 0xc4e8efa7, 0xaf7e86d5, 0x2742d4db, 0xd1d5613b,
+    0x46058487, 0x23700be8, 0xdf8d52d7, 0xfdbba690, 0x919c679b, 0xd45cfefb, 0xa3f86b66, 0xd818bded,
+    0xc4274ef7, 0x8e4df92f, 0x313635d2, 0x7d58380c, 0x60305d45, 0x2a1edbaf, 0xd93f952b, 0x89571dee,
+    0xe03c6952, 0xc3d95d8d, 0xe38d9ff2, 0x06ae0d32, 0xe58c52f3, 0x1c4e157d, 0x79aa6a5e, 0x79cbdc70,
+    0x3de4cf48, 0xa2938119, 0x26f9ddfb, 0xde438367, 0x59f4e3df, 0xb4061c36, 0x5a84cac3, 0x34b08718,
+    0xaca49e3f, 0x1ec471d1, 0x92c08705, 0x34de3396, 0x276d3347, 0xabfa14e9, 0x16e4b009, 0x7e8c53b7,
+    0x115cf1fe, 0x7ee24411, 0x457b406f, 0x48beb85a, 0x25f3ab45, 0xce9645b2, 0x032a2254, 0x114b6227,
+    0x1b7f8754, 0xa6701523, 0xfff6148d, 0x8c63f66f, 0x10b2d958, 0x7963ba65, 0x9c1b604b, 0xc5a02b57,
+    0x7ef41fbf, 0x8edc1ba0, 0x72b1b5dd, 0x22b55f74, 0x5a729a0c, 0x11b5639f, 0xa303d8bf, 0xb0659820,
+    0x1310f84c, 0x3939b66a, 0xbdeb89c0, 0x74082606, 0xb046b95f, 0xcccc939d, 0x42e88e30, 0x3cc1dc85,
+    0x6487fc59, 0xdf872863, 0x02fc1f1d, 0x84bf3e57, 0xb8125e8a, 0x777924fa, 0xf7074f85, 0x2f1a8db1,
+    0xd9ad0ac3, 0x5c7dd4aa, 0xa4bc8951, 0x05a87960, 0x6702a398, 0x8d62e695, 0xa01ef6eb, 0x73d290a7,
+    0x76cdb79e, 0xe562bfef, 0xa21ec162, 0x39931106, 0xce15268b, 0x79405191, 0x74fc4329, 0xd96c7b85,
+    0x796064a6, 0x3a6bd0e2, 0x7864a4fc, 0x342be2e8, 0xaa931402, 0xc0525bb7, 0x9199e305, 0x63a80934,
+    0xff8d72a7, 0x869f65bf, 0x06615fdd, 0x571fe7ca, 0xc9519e10, 0xcdde4a7f, 0x5d05329b, 0x4cad55cb,
+    0x3bbaf0b6, 0x485c2798, 0xe2c5a49f, 0xbc8562c9, 0x2bb06a86, 0x7fe981fd, 0x9a34da85, 0xcd15ce21,
+    0xa02d65b4, 0x768e0d3e, 0x8c8be099, 0xeb799281, 0x9e33e3f4, 0x581f537b, 0xc327ef07, 0xaeca8307,
+    0xa02eb0ee, 0x6fa40da5, 0x1bac8141, 0x5344b761, 0xeac61ef7, 0x4efadb2b, 0x63e981c3, 0x6f911891,
+    0xef6d26fc, 0xfa77f093, 0x305491f6, 0xa54eb8b7, 0xae008ce1, 0xb6b8e4d7, 0xbc40fde5, 0x16aaa06f,
+    0xca5dc41c, 0xceebc4cb, 0x712d093e, 0x61c47052, 0x3ddd68ae, 0x4b6b4276, 0x4d7cfaeb, 0xa14fd0dd,
+    0x1bc2b8a5, 0x01450156, 0x60b5f04a, 0x26d0c65f, 0x4a1e654d, 0x42a378b4, 0xcce8a2ff, 0xd586a92f,
+    0x21fb16f7, 0x2145e860, 0x011aef53, 0xb54c9c82, 0x4cf30ffc, 0x0eef483d, 0x58969765, 0xd12f94e4,
+    0x74af0bee, 0xec590cfa, 0xb412caea, 0xc794d8ed, 0x1547c433, 0x580ed59f, 0x6b0f8e0a, 0x0344e563,
+    0x987af99e, 0x1ab556d3, 0xc35b848d, 0x4f5175bc, 0xbb672bb3, 0x784b47d9, 0x8ecb64bd, 0xc3d9ff1e,
+    0x4c7c9e43, 0x7bbd0efa, 0x0d0526b2, 0x84debbb0, 0x8b1ba619, 0x1cab0585, 0xdec05462, 0x2652a8dd,
+    0xe69c4640, 0x90cdc0b1, 0xf82c4098, 0xdb6172a5, 0xfcbe89aa, 0xfdd3cec6, 0xf5c01fdb, 0xdb264f56,
+    0xdbe3de24, 0x9b0237cd, 0xecf0050b, 0x18ea16a1, 0x01d7e3c4, 0x3f411d78, 0xf7dd6dd6, 0xc12bb8c8,
+    0x951ef5f1, 0xa7d9b814, 0x12ca2705, 0x79ad526c, 0x974c847e, 0x847e94e1, 0x22db6ddb, 0x209452d2,
+    0x41b4b2ff, 0x8eac906a, 0x15a39ea0, 0xf7987e82, 0x726c4b8a, 0x1824e0d2, 0x3cb65365, 0x8721d15f,
+    0x2a494d2a, 0x8c5a0a63, 0x0867ef7f, 0x02cc84bd, 0x814fc150, 0xcc49bc21, 0xbfd153bd, 0xe63f9c9e,
+    0xe22966dd, 0xfc36f093, 0xbd30ce1b, 0xb3008fdc, 0xa53c93ea, 0x2d45958d, 0x4ca49e92, 0x4ebc56ae,
+    0x32d2ce2b, 0xa7e1c4db, 0x09879384, 0x28348882, 0x13a46b63, 0x3d079f8d, 0x71b4d2ad, 0x339f0d2d,
+    0x775a116e, 0x2fc8ed37, 0x8790f2e2, 0xe9a20412, 0xc0fad5c2, 0x1a69076d, 0x6dd7f22e, 0x51411e00,
+    0x22ba777c, 0xe8d5cd33, 0xd7b9d315, 0x117545a1, 0x89cbe77a, 0x949d3955, 0xf8af09f0, 0xfd6fac9d,
+    0x382e93d4, 0xfe08e898, 0x39e325d9, 0xff07bb53, 0x9a858926, 0xcf69709d, 0x0ba90b75, 0x2779f16c,
+    0x3ddfe3f4, 0x115f46de, 0x8c61b476, 0xde6e3f59, 0xe1d2bba7, 0xf46679be, 0xaf2360ad, 0x5f187b40,
+    0x6e1ab450, 0xac9530c3, 0x38405e2a, 0x266b607e, 0x56e1cd30, 0xb3c1f806, 0xb36e7bc6, 0x7c908af2,
+    0xcc97873a, 0xb04fc99a, 0x463cc15b, 0x9c4ba912, 0x64ef5428, 0xd47b52b0, 0x616bd74b, 0xce6a6a90,
+    0xbf8882a8, 0x58535e94, 0xa76d9676, 0x92238ffe, 0xa56caad5, 0xacb1afef, 0x3ea516a6, 0x17fc70d3,
+    0x0582babe, 0x41366800, 0x32220ba1, 0xafe934fa, 0x2d87e318, 0x8a83cdbe, 0x0abcfff8, 0x2427dc99,
+    0x715897be, 0x009cc59f, 0xa6b1553e, 0xae7cc65c, 0x349e13d7, 0x27fce299, 0x53690ebc, 0xfba5eed1,
+    0x9f93c095, 0x973b0109, 0xffc8dcfa, 0xeee5fbc7, 0x1a63a6f0, 0xf0d853b7, 0xa151dee9, 0xe4ad295d,
+    0x88e9f7ee, 0xd7b1ff0a, 0x23556618, 0x2e17c1f4, 0xd1c8048f, 0xc2db74c0, 0xaea8d753, 0x34bd1b3f,
+    0xada147d9, 0xa80728d4, 0x504aa903, 0x952bf7fd, 0x2cc10ef8, 0x0b01cbba, 0x2d63734b, 0xb34c0c36,
+    0xed9dfdc6, 0x7e466a1e, 0x501f4af4, 0x698d1b92, 0x160f614b, 0x007ee1b6, 0xd1cf692f, 0x95920e9e,
+    0x8c47c1f4, 0x827e631a, 0x537305a9, 0x8a5d18c2, 0xf39bf577, 0x232a9508, 0xccbdeded, 0x9dd55a72,
+    0x12e0f571, 0xe7e057bc, 0xe6fa3752, 0xfab83e3c, 0x73ed80ba, 0x8e89c917, 0x0611a1bb, 0x9a35f5f0,
+    0xf6093ff9, 0xef6e8e55, 0x8f0226bc, 0xd9e61679, 0xab6202ab, 0x37451b7c, 0xcf86e843, 0x6555a7bb,
+    0xa9cc0103, 0x9690254d, 0xb7df757c, 0x5d31c7c2, 0x5e6031e9, 0xaaaaf356, 0x064ceef5, 0xdbaa3935,
+    0x9f8c2c28, 0xb212a1d3, 0x5d08bb12, 0x8014d549, 0x9a41193c, 0xad981f3d, 0xd384ca05, 0x57e5688e,
+    0xfc64985c, 0xdee45a11, 0xa36ed1ea, 0x42a40202, 0x0f86127b, 0x31320695, 0xfd87f662, 0x7055d888,
+    0x6ff57a48, 0x1421dac2, 0x46e211b2, 0xa7ff7e44, 0xa6c4d61b, 0xdea0151a, 0x7d9ab265, 0x5ac56cd7,
+    0xf22aebc3, 0x9fb9ad23, 0x6e47a8a8, 0x6c120111, 0x3c904c97, 0xf8cd4d52, 0xfe65ba57, 0x0752020e,
+    0xbe9021b6, 0x31f0d930, 0xcf6059b9, 0xa5fa8523, 0x9aa63853, 0x1ac641b4, 0x05137404, 0x28188604,
+    0x7b96d1c2, 0x88e20c5d, 0xc94315db, 0x34344a5d, 0x4d65ff21, 0x3c50b145, 0xa9afabd6, 0x6e975f59,
+    0x7bdc5f6b, 0xacbd544f, 0x93bcf3ed, 0xa3e55df6, 0xecea406f, 0xf626c537, 0x8ab60310, 0xbd52fb63,
+    0x5e313a95, 0x669acdbe, 0xbfb74767, 0x0137f6d8, 0x57b49fa6, 0x1480fb4b, 0xf46402e6, 0x857b5a49,
+    0x7f5ff247, 0x5112f9dc, 0xf7c09ba9, 0xfc16128e, 0x924dfc28, 0x29fbc017, 0xa579fab5, 0x2c21c60d,
+    0x4d62d035, 0xaf683d68, 0x0dec9e1b, 0x98c64608, 0x19e64258, 0x521d9442, 0xbfde929e, 0x43fa447e,
+    0x36ec9d9a, 0xc8256205, 0xd0e1a727, 0x81fb1ca1, 0xae70221b, 0xc1c16a7e, 0xd24bfdfb, 0x29bd7434,
+    0x0408fcde, 0xde2506f8, 0x51e7603a, 0x01947084, 0x703be725, 0xe2db1801, 0xc60ec074, 0x031bde23,
+    0x0b6c0925, 0x22af8b50, 0x7e0853ac, 0xb594d9e8, 0xa6e374b9, 0x2dba1b77, 0xa42a9876, 0x8560afe0,
+    0x795a9179, 0x35d0d4d0, 0x347bf0c5, 0x16ba71e5, 0x8335c1d5, 0x94a952ef, 0x3fa6aab9, 0x1cb1896f,
+    0x6079ccfe, 0xbdf7fff8, 0x22455e74, 0xcd95fab1, 0xd44b988d, 0xbd0396e8, 0x1da517e5, 0x7de93059,
+    0x66e0df8a, 0x5a69e2f0, 0xfb414e11, 0xb21276a8, 0x360e769f, 0x160f2934, 0x3b711a3a, 0xf6e118b8,
+    0xa05c7918, 0xbda4401e, 0xa42d7a57, 0x6b821de6, 0x81b81f1f, 0x8309d3c8, 0x45db9190, 0xc81b890e,
+    0xc1b172eb, 0x536c53ea, 0xe5cb39ca, 0xf8d4d024, 0x29cb2e6d, 0x01475c92, 0x0283330a, 0xdb38e5b7,
+    0x42479be2, 0x07f8515b, 0x83484391, 0x0781121b, 0xf8854049, 0xd85542db, 0x9f24e2b4, 0x3da8af75,
+    0x8398d850, 0x4b81b31e, 0x166fea3d, 0x633dfe8a, 0x390657f0, 0x9a022bbf, 0x45139f8d, 0x0659a856,
+    0x8948ca85, 0xebe5333c, 0x6d7ef82a, 0xc7c03bed, 0x30f77dad, 0x3bb7d72a, 0x5fb959eb, 0xb3024dfc,
+    0x1f1469f9, 0x5da86548, 0x3ff79014, 0xb344296f, 0x84f279df, 0x70be3162, 0xc059fac6, 0xa5ba8da9,
+    0xcdc3f095, 0xa69957e0, 0xe771a24a, 0x7032c0c1, 0x22a40982, 0x1dfb1547, 0x23044aa2, 0xde9cfe7d,
+    0xa4bf4de1, 0x78731642, 0xcd964a03, 0xbd249aa9, 0xc3108fc0, 0xb1ba6504, 0xc2dbd026, 0xb2e7dbae,
+    0x727c2c1e, 0x5039772d, 0x454adfdb, 0xa3c8a8d1, 0x7ca6baa6, 0x0fd54f49, 0xff1e4369, 0x0a075b32,
+    0x8318c637, 0xc16760e4, 0xf039a3dc, 0x5981b75d, 0x16b1c83a, 0x5114e541, 0x8262ec49, 0xa2034d24,
+    0xbc8a6f1b, 0xd6c47d69, 0x5962cfc6, 0x7d70ac79, 0x80611322, 0x706429e8, 0xe3f0b4fe, 0xd0c9cf83,
+    0x2f26df60, 0xa0b1ca94, 0x39467f55, 0x501752e9, 0xcea66425, 0xb917a4ca, 0x1bbd8f51, 0x7da7f731,
+    0xd808f8b3, 0x6e4e3cd2, 0x7990062b, 0x949f5b0a, 0x3f92035b, 0xb9acbd5f, 0xf0f2a7c9, 0xdfed08b0,
+    0x00000000,
+    0xf7a77546, 0x67419943, 0x2020b9e1, 0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd,
+    0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000005214812099416284\
+                         38084722096232800809229175908778479680162851955034721612739414196782949728256 */
+  { 0x00000000,
+    0xa4c580bf, 0x26fec257, 0x4c9706dc, 0x83cf208c, 0x2413f2b4, 0x69835f8d, 0x27fc3809, 0xcdc5b8ad,
+    0x14115d0c, 0x2ee5663f, 0xa434bdfd, 0xeecf2794, 0x152418cc, 0x1526f0a4, 0xcb0b1de4, 0x6691b8ce,
+    0x58eeb29a, 0xd55a89bc, 0x8e3c6ecb, 0x717feab8, 0x9a277e8a, 0x2c8a74ac, 0xa1e7fa87, 0x67ff7db3,
+    0x14d7e0b9, 0x4b2ec482, 0xe5684b56, 0x49327860, 0x605a311c, 0x9899767b, 0xdbd354c1, 0xc84e8d37,
+    0x4ef0d168, 0x20c8bcaa, 0x4fdba256, 0xce93bae5, 0x01170645, 0x107f6dde, 0xafbc6734, 0x9caf20aa,
+    0xe359cec4, 0x347ee15d, 0x8f50e26d, 0x5f0949c5, 0x9197516d, 0xfe954bcf, 0x0f966b2d, 0xf4fe9c41,
+    0xc42d3220, 0x19a1391f, 0x648d9a71, 0x83a5bdec, 0x79de3c6c, 0xd5b49f7b, 0xf56f1281, 0x4ebe1987,
+    0xc154daa5, 0x342501fe, 0xe2dd8c8b, 0x19c0f1d5, 0xdf19bc7c, 0xc868bbe3, 0x73d0c459, 0x6300633f,
+    0x6bfdca14, 0x8e3a5dce, 0xb37f0085, 0x0337c315, 0x3d58be5d, 0x46b75a42, 0x488080bd, 0x998d8570,
+    0x953f9d8e, 0x9fad6cf9, 0xdaee04d9, 0xc50a3a9e, 0x73c5401a, 0xd0a24bd3, 0xf105cd75, 0x5c8eea32,
+    0x9d17d5f5, 0x7b854b4f, 0xdaf130d8, 0x34e2a258, 0x41c29d1b, 0x59b6f161, 0x6712ffc9, 0x249ecf4b,
+    0x49be4279, 0x8fb5bd4f, 0xa8d2f525, 0x3737445f, 0xe5e48f7f, 0xda858197, 0x6c7712a3, 0xcb991d61,
+    0xbd6f40b3, 0x7aa3a0a7, 0x18b89388, 0x9fc88979, 0x8a7c8172, 0x6cc9c2e9, 0x7ea4d81b, 0xd6762797,
+    0xac89808c, 0x29f44204, 0xdfef0d57, 0x585a9aa4, 0x3feff28a, 0xe482c015, 0x1ed80deb, 0xf8aba55e,
+    0x2b3c353e, 0xf6b25102, 0xc222fb0d, 0x73c4961b, 0x9fe214b7, 0xe12383a0, 0x0146bfe3, 0x6e30281d,
+    0xd1ddfb22, 0x63398976, 0x8fd7249a, 0x78ce6fc1, 0x2af5bbbf, 0xef6dfa7d, 0x0cb2fb01, 0x852a0f8e,
+    0xf3e18a2d, 0x7f4efd9b, 0x5b1fc3fe, 0xe0a9af5e, 0xb844b00a, 0x53fa33ab, 0x9ca38a60, 0xf242e178,
+    0x467a785d, 0x6536d98a, 0xad923a83, 0x1bf828d4, 0x74edeadf, 0xc9dc9e37, 0xc5963d2d, 0xdcceb399,
+    0x57ec2905, 0x9d00877c, 0xf0f7eb52, 0x1f8814fe, 0x385720ed, 0x1426cee9, 0xd2893246, 0xae3f70dc,
+    0x9cf24db7, 0x42fc5ed7, 0x8d36e34f, 0xfd531624, 0x6c9abeac, 0xa0461e84, 0xefbb68ba, 0xacb47988,
+    0x953a5d50, 0x08c675ec, 0x1a455620, 0x717a1101, 0x787e4bd1, 0xf164df6d, 0x2e0236cd, 0x95bd9c20,
+    0xca4e33ea, 0x163eb4cd, 0x77097ef0, 0x5ff72f86, 0xd46588f8, 0x0bc11e59, 0x9f133eec, 0x0edc0fad,
+    0xe22d0a2f, 0xab61e78a, 0x4aec42c3, 0xd15f5946, 0x6062df27, 0xd144ae84, 0x80998870, 0x3f6ff6a9,
+    0xbdde9130, 0xb0731425, 0x8b41d869, 0xf63e2643, 0x8d8cb455, 0x19ee6792, 0x0dc61662, 0x32fef245,
+    0xc141f50d, 0x58b7514a, 0x4ccfbdd2, 0xe123841f, 0xa4b48ab5, 0x71460b8b, 0x7ea6ec84, 0xbffefbf9,
+    0xe05d6c4a, 0x5a5be4a2, 0x89d1f28d, 0x0b430ec5, 0xd44b807d, 0xc4132a69, 0x3d6315bc, 0x949f7b62,
+    0x46b6a212, 0x00f2b0e3, 0xd3d35832, 0xbb4e902b, 0xad47754e, 0xab283deb, 0xaa43d1e8, 0x41e2383d,
+    0x4e00e615, 0x6e507429, 0x5eafa478, 0x23b710ff, 0x131d5cb3, 0x25d849a7, 0x86d5b10b, 0x244251ee,
+    0x9530233a, 0xff9de1bf, 0x7cfef400, 0xdd10cdaa, 0x2bab637a, 0xc41ebd92, 0x39f48ff8, 0x46613039,
+    0xb383d3ca, 0xe66fe407, 0xfa23fa2e, 0x055925c9, 0x355bfa1c, 0xe0b3bb4c, 0xd5f1cfe0, 0x9a33e93a,
+    0xb7c098a8, 0x4eabd1c8, 0xfa098c24, 0x520bae38, 0xa9d838f5, 0x525b68ac, 0x06601f9f, 0x8ecea7fa,
+    0x06e26d6d, 0x2136e49d, 0xf28a8ba5, 0x8d8ce324, 0xecb6a376, 0x3fc31791, 0x8ed482c9, 0x24c7948c,
+    0x70735c4d, 0xd4632a18, 0xf5fd5562, 0x814d7e59, 0x9c90f3f7, 0xd6eb9bf8, 0x36c6562a, 0x144047cf,
+    0xcfb7537e, 0x3b7274be, 0x3e19fb22, 0x93f4d3fa, 0x24d52f1e, 0x2ff17754, 0x3e866c39, 0xcb30b1f2,
+    0x0e74d14e, 0x75ea27a2, 0xebb708d3, 0x559a25ee, 0x01d71228, 0x464f76d4, 0x9de3c3ec, 0x2818e4b2,
+    0xb5c0640c, 0xc31d1cd1, 0xf98554c3, 0x294d61d1, 0xe1949d66, 0xaee1187b, 0xdfacaeb9, 0x095b88de,
+    0x451cb66d, 0x2d444b7c, 0xc7bff5fe, 0xb471967c, 0xcd3f792f, 0x87b288c6, 0xa35627d2, 0x6c471822,
+    0x54b65d4c, 0xe2e907d0, 0xbab94a4c, 0xdd7a94e1, 0x2ba868b6, 0x0982477e, 0xd482fe75, 0xa2358c97,
+    0xef2519d1, 0xf9e060ee, 0x4a17e460, 0x1b5f9de5, 0xd6b96af2, 0xcee8e639, 0xdf8214ef, 0xb91393c6,
+    0x97ea7df3, 0x0fcf4b88, 0x467e7ba3, 0x46bf33bd, 0x032fa038, 0xa951e7ff, 0x12d538e8, 0x7f009580,
+    0x85ca663d, 0xd48b6600, 0x569e6aa6, 0xf6cb98be, 0x4d52e4c9, 0x5ffbd5d2, 0x6df6e88c, 0xd5259945,
+    0x80f3ad20, 0x9917c4c8, 0x4cc0dded, 0x73b021fe, 0xf75c0dc4, 0x03e64c41, 0x6d9d201b, 0xdd5c88b7,
+    0xe868d4d8, 0x707d6493, 0x62bc2f38, 0x6b2da702, 0x30bea327, 0xe0fa7dfe, 0x32cefe6e, 0xb146b4e2,
+    0xb3c9f981, 0xb783c5b9, 0x41ef56b6, 0xb4c2c153, 0x8bc41a82, 0x67a3e5a5, 0xb5c19f11, 0x5e2fe499,
+    0x0ec908b9, 0x1c8219c6, 0xedf6df1f, 0x3a89bb7f, 0x482dfa99, 0xfc0b4dd8, 0x061f8026, 0x14f696eb,
+    0xc0fe355a, 0x35220341, 0xb6d37d4f, 0xe7d071f3, 0x0869a88a, 0x67b1e0d6, 0x353ac795, 0x439a5b51,
+    0x8aab44da, 0x52a15e74, 0xd07f8309, 0x5a8b499d, 0xebefb3b5, 0x09c9331b, 0xeb0eeb85, 0x79a09ce7,
+    0x84c913da, 0x5522cee9, 0x328e4021, 0x20c2e76d, 0x1afdf34c, 0xabd56293, 0x08aba7ab, 0x84b1a7c9,
+    0x9529c320, 0x87466086, 0xdfc70115, 0x40b273af, 0x77b5b968, 0x606d948d, 0x0272f9e1, 0xe09b1562,
+    0xb5d14dea, 0x10063ae1, 0x66d51264, 0xbf909914, 0x13f08e4f, 0x97a928f7, 0x24a8853a, 0xac086946,
+    0xae729393, 0xa5e43fba, 0x98af2728, 0xdf5d218f, 0xf179eb14, 0x2882ee35, 0xadb78802, 0x33f210f0,
+    0x1b1748b1, 0x8b037be8, 0x50331048, 0x6fb138d2, 0x792074d5, 0xc2f91d8f, 0x379b2b42, 0x2cb77774,
+    0x5f0114d6, 0xc8fe6d25, 0x6952e55f, 0x55e1b6fb, 0x569717e5, 0xd9a6f71a, 0x8cb041bc, 0x9a419418,
+    0x8e999018, 0xbb68990a, 0xd357fdd1, 0xc2145c80, 0x764ac9c3, 0xcd02c6d2, 0xcf671c40, 0x20376696,
+    0x278e26d2, 0xae80b140, 0x573c5324, 0xf76b0986, 0x3ae49eb3, 0xe3d31cbd, 0x0b6c8a70, 0x44e894b1,
+    0x950fe38f, 0x6ac0aa64, 0x6a352d85, 0xcfc46dbe, 0xa9479a73, 0xd1ad3101, 0x46417eed, 0x74c4d4a1,
+    0xec09f9a6, 0x629bd27e, 0x0c8bb448, 0xb2a66727, 0xa5ff5ef6, 0x041fe8f6, 0x2c6ca08e, 0xe01228a7,
+    0xc12f6039, 0xa5475b06, 0x38ab6930, 0x85849117, 0x0f038ff4, 0xf83f7707, 0xd93e837b, 0x478516d7,
+    0x485bbd86, 0xca29a1e9, 0xf7d55f7d, 0x77dfaaca, 0x39778027, 0x8a62bc62, 0x57f87225, 0x4529fc02,
+    0x448c6258, 0x4506bf61, 0x59046998, 0x73750d51, 0xe679fb5b, 0xa2ec41c7, 0xe4379663, 0xf8a7a2de,
+    0x3168f80d, 0xc199156f, 0xcb8a5b1e, 0x7f189458, 0x94883249, 0x8c8cc5e8, 0xa140031a, 0xbd33fcae,
+    0x8877793e, 0x3037d709, 0x071911ed, 0x78587509, 0x5d30b628, 0x7b35b4ef, 0x59be20de, 0x0867222c,
+    0x9048ffe5, 0x9402b4fc, 0xe11ebb81, 0x51471a79, 0xee48d308, 0x7cac6bf4, 0xeab0a9ce, 0x42ff5bb9,
+    0x878cfd97, 0x166ea602, 0x99e6a5b1, 0xc267b2b1, 0x11a90333, 0xa03b1b67, 0x833615e7, 0x3b1fe8d5,
+    0x7897537f, 0x823da3ea, 0x0433c635, 0x1169fe8e, 0x3a495220, 0xb9a70e85, 0x29ad1d11, 0x1c786f8a,
+    0x55ad5fdb, 0x9f9d4218, 0xc2c6cb61, 0xa84cc1ce, 0x725a5b49, 0xde311e04, 0x1e5679d8, 0x1781bd15,
+    0xf3b66a83, 0x36c1deb3, 0x47544c4e, 0xe715e3b0, 0x40489de3, 0x89b16df4, 0x4e03880c, 0xd74b1e38,
+    0x358d6288, 0x14344d1b, 0xc012f440, 0x5d798779, 0x1e1f5b52, 0x92ef85b8, 0xc5e3c23b, 0x7935c1ae,
+    0x221e3d6f, 0xb32972a1, 0xc7d83128, 0x99bd1a5c, 0xf4bbfee2, 0x0cb3b7f5, 0xe056809d, 0x80a031a8,
+    0x1b656167, 0x952cd3d0, 0xb2417300, 0xfbc9d491, 0xaa6064f9, 0xe528cdaf, 0x034e8195, 0x5f77d67d,
+    0x73e71b3e, 0x76ddbe87, 0x9596bbbc, 0x9ec63bcb, 0xa8c79b84, 0xe46906bf, 0x3695d5d7, 0x50830c3f,
+    0x582d4a6a, 0xfafdd0f3, 0x48c95a88, 0xd12b20a5, 0x9bd2a7d7, 0x77bdb956, 0xef248b91, 0x377e4696,
+    0x05fe71d8, 0xf8040a9b, 0xaafc930e, 0x9eb12c58, 0x4dde96f3, 0x2b116716, 0xeefcb4cc, 0x9f3e56be,
+    0x0ac4fbbb, 0x10b750a3, 0x0d3c920e, 0xb3692f99, 0x568ef960, 0xbc2bb9cf, 0x1e9b25ba, 0x9b936d69,
+    0x107f6d77, 0xcf7b7910, 0xe5b41a19, 0x1f4cca4a, 0x4cbfcc63, 0x5f9a6174, 0x544a73ab, 0x0ac2c642,
+    0xf197788e, 0xba8ceb3f, 0xe7a6f05c, 0x5a34e557, 0x28402d83, 0xbe04e34e, 0xaa4c3db8, 0x74e1dc51,
+    0xeb21e0a3, 0x13e15a22, 0xa5a8d0fb, 0x73f04ce8, 0x7ebd1a5a, 0x4dd83a47, 0x33ba61ef, 0xb793b478,
+    0x36f31077, 0x795d8d63, 0x40b9075d, 0x5aacb950, 0x615ac5ce, 0x25aea7b2, 0xae8279bb, 0xf72a323d,
+    0x8143ce6a, 0xad9c3f06, 0x0d6ed367, 0xa253432d, 0xb2a4162f, 0xc5c1dbea, 0x2f46fdb3, 0x859c6f64,
+    0x5a9804f7, 0xa52d4b76, 0xb6071ba6, 0xfce3ede1, 0x7ca3c9a5, 0x1aee566e, 0x178005d7, 0x91f514a3,
+    0xadef2c9e, 0x50e35e8a, 0xf1ca0ac2, 0x065d2754, 0x7f8ab31d, 0x5fe35d47, 0x946287d0, 0xb3fccdc3,
+    0x17b29e40, 0x8e2d7c9b, 0x957a0ee1, 0xf7750c0d, 0x78449b77, 0xf4156b34, 0x4530930d, 0x1e099c47,
+    0xd1b6a24a, 0xbd7979be, 0xdd3b293a, 0x419f1691, 0x9a6d3e03, 0xd3c43afb, 0x21a62e92, 0x663a2cc2,
+    0x7cc6353a, 0x2b2fbba9, 0xd4734095, 0x5f8389d4, 0x91c3fa94, 0xae7d03a4, 0xb4988aeb, 0xbd2fa086,
+    0x8039a6a2, 0xbf78631c, 0x2b2a4864, 0x7d9e1958, 0xb6487beb, 0xc35d1ee2, 0x7f83651f, 0x477df1ce,
+    0x8d80cde5, 0xdb308d51, 0xddde6ec6, 0x5a78811a, 0x56f7ba97, 0x3aac6f48, 0x3c78c739, 0x9b79492b,
+    0xfb42c1ac, 0xe16b1483, 0x8d7ee328, 0xbfecfcf1, 0xc17b1358, 0x1a8ac796, 0x3fadd178, 0xac397003,
+    0x01671da8, 0xc3234108, 0x3551fb34, 0xa1ff692e, 0xc754c53a, 0xa1f2a40e, 0x1da47cf8, 0xc2f40756,
+    0x697f3da0, 0xf9ed8395, 0xd945a066, 0xe12cdf77, 0x35f08fdd, 0x42199d56, 0x0b80d7ad, 0x992d8b52,
+    0xd3af373b, 0x295c8ecd, 0x7e1094f0, 0x7ecfe48f, 0xdc89c572, 0x7826659a, 0xbbd3a599, 0xcd410a72,
+    0xa4978c1a, 0x841f8cda, 0x63a4960c, 0x39a5a6a1, 0xff4aca3b, 0xdc5c94cd, 0xcea46b7e, 0x9cd47c68,
+    0xa879df39, 0x831aa282, 0xc3cbf1d9, 0xd7aea508, 0x9fd58633, 0x72bda60f, 0x76961adf, 0x62acccad,
+    0xa57b0455, 0x0161bae2, 0xe9ec78f6, 0x5800e954, 0x110c2f7d, 0x551f54f0, 0x52a79252, 0x3f29a931,
+    0x6712d414, 0x4ce752b3, 0xa151f4c0, 0x2bb637ee, 0x47b2eb48, 0xd902f462, 0xd4563280, 0x011b4f63,
+    0xa86e9a31, 0x786a5d2b, 0x38076577, 0x2cfb34d1, 0x5c622fb2, 0x0ef85257, 0xaaa9a6cf, 0x452f090e,
+    0x3f68615a, 0xf132cc19, 0xba1ce2fa, 0x561a1db5, 0x5109fe22, 0xe8d34af9, 0xac3c197a, 0x796219f2,
+    0xffbd040f, 0x4c17fa19, 0xda2342f2, 0x148e5a30, 0x237fff45, 0x47cc7ffb, 0xa1f8bea4, 0x0035b810,
+    0xb642c516, 0x7ce7cfaf, 0xcbb3e3cc, 0x8c1dd525, 0xe22fc690, 0x5fb26f0f, 0x3c561a02, 0xcbf50c57,
+    0xe4437136, 0xc70df5ba, 0x43b6c419, 0x8e382ef5, 0x947a9c5d, 0xa8152d48, 0xcbf03569, 0xc0fca8ce,
+    0x81c535c5, 0x27694e8f, 0x57c9345d, 0xf59107ab, 0x739a2af4, 0xb1e8625b, 0x5ba35484, 0x6e369d8b,
+    0xb87c7991, 0x0a305950, 0xdae71b76, 0x18fdb3fe, 0x9d6a16c4, 0xe7fa404a, 0x425b0b3b, 0xd26e9e86,
+    0x153ccdc8, 0x7a3575ec, 0xeb849d11, 0xba324d4c, 0x88ba1015, 0x645393d9, 0xf4cc430c, 0x21e42bf1,
+    0x039ef56e, 0xd92af066, 0x6e1b7816, 0xb9a971ff, 0x1a0b7658, 0x20b671bf, 0x29f50728, 0xbba18339,
+    0x49ba00c0, 0xe5664784, 0x2599b97c, 0x1d18eff7, 0xf562c275, 0x194778f2, 0x2b99c07b, 0xb3ca4640,
+    0xb7d91882, 0x67a8f455, 0x9953209e, 0x9dfa3ac2, 0x74794c08, 0x3689fb02, 0xc9c6b937, 0x7397b9b7,
+    0x5dcbf694, 0xe0718db8, 0x39d3d00a, 0xdf0d7e62, 0x01475f95, 0x808cdac3, 0x26ed9b9d, 0xa10bd5ea,
+    0x0d346c4c, 0x70b6b071, 0x0e3fd6f7, 0xa7f02845, 0x1fec9062, 0x90de5f41, 0xc4007c60, 0x66b2337b,
+    0xb3feb42e, 0xf5bbfe82, 0xa306457c, 0x96acd2e5, 0x96feab22, 0xe8dab9a4, 0x757df11e, 0xc0d02a15,
+    0x7998f486, 0x796db0ab, 0x0dfa2eb1, 0xb976ee88, 0x765b6c08, 0x65eb9c6e, 0x91725581, 0x839fef14,
+    0x56adfa3d, 0xf055cf99, 0x49a30023, 0xfb13afe1, 0xd6e76b3b, 0xb227faa2, 0x908d7820, 0xceb65751,
+    0x69eb658b, 0x21bc0f38, 0xc5533c40, 0x84a7cb44, 0x23fbf9df, 0x58c5be81, 0x9a942b53, 0xc2444daf,
+    0xbb4ab11f, 0xe8f3bdd4, 0x1cb900b0, 0x2324aa29, 0x1e9620e3, 0x4a478cb9, 0xf8ef3ba9, 0xba6de2cc,
+    0xab0db2cb, 0x1cc96401, 0x25510626, 0x6f5ef40c, 0xa051d8e9, 0x6cf694a7, 0xb58e4287, 0xba137c58,
+    0xd4b4fc60, 0xf3f5575c, 0x41fd4d05, 0x81137bd4, 0x2dc2aeee, 0xf2629918, 0xf7be834f, 0xa6a009e4,
+    0xa6e81051, 0x0dd862b0, 0xfe21d8f4, 0x8742e43c, 0xffcea7f1, 0x5625eca9, 0xea88d870, 0x765d2136,
+    0x86cc9b01, 0x5e64eb9c, 0xbf9571d1, 0xac043b3d, 0x2bb3a329, 0xec64d9b7, 0x3a3825ad, 0xdc6d4060,
+    0x1d398534, 0x3a367b2b, 0xb774b632, 0x4e7621ff, 0x3645784c, 0x468aaae0, 0x5bd0795b, 0x8444991b,
+    0x80ec7206, 0xf6101133, 0x0de08d87, 0xef5260e7, 0x8f75b381, 0x0280e0ea, 0x93e6d50f, 0x560315b4,
+    0x8ce47f09, 0xd3a3e548, 0xb460d677, 0x6423588c, 0x3712f289, 0xe5a1acd5, 0x76919f01, 0xbb2c7325,
+    0x6c0d7a51, 0x1dc8fd41, 0x34b3c2e1, 0x872fa581, 0x1584cfe3, 0x3add06bf, 0xaa4a83cc, 0xf0cee322,
+    0xc5e8e19b, 0xdcf12875, 0x34be7e7d, 0x8b3ab2ff, 0x1da95658, 0x41bbd158, 0x5332dab6, 0xbe6ecca6,
+    0xea43eb8a, 0xd2f00b43, 0xe363f849, 0x3e53cef5, 0x86acc225, 0x0cf2272c, 0x9939cd1b, 0x51de8a30,
+    0xb055dda3, 0xfcdb6002, 0x3f38ab99, 0xb437e1f7, 0x1bb92944, 0x268c7ef1, 0x4cbbf74c, 0x69d141b6,
+    0x9f11bd14, 0x07ff7c69, 0xc3207086, 0x63f76128, 0xa1515ee9, 0xb9663ed9, 0x1e73952d, 0xe5e54443,
+    0xe3644ae9, 0xcb9111d1, 0x847a6e5c, 0xf9f9ff60, 0x3891fe21, 0x8ebad5ce, 0xb63d4156, 0x727cebe5,
+    0xaa34e9af, 0x4c1c41c0, 0x1a6173df, 0x4ac26fb4, 0xdb119ec0, 0x5c4593b1, 0xbffa19f5, 0xef6d2d0e,
+    0x00000000,
+    0xfbd3baa2, 0xb3a0cca1, 0x90105cf0, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e,
+    0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000002607406049708142\
+                         19042361048116400404614587954389239840081425977517360806369707098391474864128 */
+  { 0x00000000,
+    0x85cdcc56, 0x1d6ee320, 0xacbd3b64, 0xdc1fa098, 0x8d50d896, 0x59b577c0, 0xe5cb3e4b, 0xc18f09df,
+    0x47584215, 0xb7efdd5a, 0xb20a361a, 0xbde6f479, 0xb4662b02, 0xc894be30, 0x6a4dfef5, 0x9a201677,
+    0xab38eb35, 0xda6a2fcf, 0xabb9835b, 0x8bb2313a, 0xf58bc6a1, 0x319c2b08, 0x932cadfd, 0x64e0bb1c,
+    0xf9692c47, 0x498e3a6d, 0x7f610310, 0xc7462b65, 0x3173bd2a, 0xc7bb100f, 0x4dffddd0, 0xaae22c56,
+    0x89c1a941, 0x4b2b5c97, 0x38e1e773, 0x876dd5d3, 0x7d1c0aaf, 0x292f35ec, 0x34569d1c, 0x1a63025f,
+    0x5cd7b924, 0xf62050f6, 0x79650c92, 0x2628ae8d, 0x3c42166d, 0xebf38155, 0x9eaacd96, 0xe7924a6d,
+    0xdfffa6ad, 0x23f88a96, 0x2b2ac4f9, 0xabf4d1d3, 0x2b4d960e, 0x1b09bdf2, 0x88a4a078, 0xb8df263f,
+    0x12378256, 0xfdd697bd, 0xd2c70c68, 0xe1b4e0e6, 0xa91a9aad, 0xb0a23d09, 0x7d46a832, 0xefd9dcc5,
+    0xffb2ba51, 0x1bb4350c, 0xf715e642, 0x37a67ea0, 0x85e1ddb5, 0xcfbdabbf, 0xfe12b2fe, 0x92502909,
+    0x5f9a3f7b, 0xd2765432, 0x1cfe5c90, 0x25475439, 0x12bf2e8f, 0x35fc02e9, 0x53b38d07, 0xcbab27bf,
+    0x76fb7930, 0x03a5c45c, 0xd880cf97, 0xed62cc1d, 0x33e89981, 0x755a7260, 0x7322d30a, 0x720596b6,
+    0x5b7ccc41, 0xaac0cc68, 0x4c135de7, 0x38ae8009, 0x88616ea5, 0xe67e9bde, 0x0d1d2979, 0xd7320d59,
+    0x544a2b5e, 0x8d5a4566, 0xa4cca9bc, 0xfbbd6107, 0x5caca194, 0xb787bccd, 0x9083a51f, 0x3f6b8f25,
+    0xe690eb28, 0x9f242312, 0x9e39e88c, 0xf0a13ca0, 0x19397bb1, 0x6387749d, 0x30135e3c, 0xc06370ac,
+    0x2a73c9b0, 0x09bf5dc6, 0xfb49be1f, 0x78f4d609, 0xcc7fbd1d, 0xfa27e04c, 0x65088ca9, 0xa5e72031,
+    0x19001959, 0xaa148cee, 0x0458cf7d, 0x6711d18c, 0x8286ff32, 0x0c862243, 0xbc21b9b7, 0x6acdc4e6,
+    0x17a9cd75, 0x6038d5cc, 0x96da067c, 0x0c1c316d, 0xac339ea1, 0xff41c897, 0x45e5c904, 0x233ec9fb,
+    0x6e45ac78, 0x5842010a, 0xf133f332, 0xc08894e3, 0x43b40f43, 0x5ec3d1a2, 0xb7942b1f, 0x411a5cb1,
+    0xcd8cdf4a, 0x9175588a, 0xe63f64e9, 0x651d89a6, 0x3f60689b, 0x122bff7b, 0xbb15bac9, 0x1112b978,
+    0x9c566254, 0x68f54163, 0x0a3b36ef, 0xa309e29c, 0xbc2d7122, 0xa99895fc, 0x08d43cf3, 0x9611ecb2,
+    0xaf0a12ed, 0x0e7e65c8, 0xc8dc6c65, 0x2bc18ab2, 0x2ac5720b, 0x07cb2964, 0x38ae2fac, 0xb97dfe64,
+    0x8b001841, 0x732e1262, 0xfeea02df, 0xc4a1496a, 0x73546c56, 0x21a76937, 0x44e69281, 0x8942c513,
+    0x1f1ed7a0, 0xc8739597, 0x6f9371c8, 0x5a6ddf88, 0xbacef37d, 0x93d522e7, 0xcee8dd07, 0xfb9e69e2,
+    0xe91a7803, 0x42c53698, 0x34b41b9b, 0xd475897d, 0xd3681ad6, 0x6b4d6f2a, 0xfc919991, 0xcc683343,
+    0x55c9c844, 0x2a98c2ce, 0xca62e2ac, 0xa2e1859c, 0x2046fe75, 0x8c99930f, 0x8ff8d242, 0x9f1f09ac,
+    0xfe324ee9, 0xf9980f50, 0x10050bfb, 0x67a601fc, 0xa8de8cb0, 0xe13d1afa, 0xdecd642c, 0xf1e215ce,
+    0x2845af46, 0x0785d546, 0x57eda788, 0xd9d99a7c, 0xa2523b4b, 0x0e826b5e, 0x225a471b, 0xca46a0eb,
+    0x72ba52e3, 0x5a48b356, 0x6c82564f, 0x747c2256, 0xbb183f72, 0x7220dcd3, 0xafdbe35f, 0xc2fcd887,
+    0x4339f006, 0x66ed218d, 0x4b355c25, 0x80b102b1, 0xb808e0f4, 0x35f64c50, 0x1e135aa1, 0x180d684e,
+    0xa39cc212, 0x00236a97, 0x0ad556a3, 0xaf41f6d7, 0x542accf3, 0xf30f5cbf, 0xf87d691a, 0x8fbac7a1,
+    0x70d749ff, 0xb834c9d9, 0xdad1dce0, 0x917c7b7f, 0x4d678cb7, 0x3410c27a, 0x010360b4, 0xd0064957,
+    0x245817a1, 0xa7ffcc21, 0x0227effb, 0xf8a1f7a0, 0xe55c20e7, 0xded53383, 0xb2fae3ae, 0xad1b3748,
+    0xf2a84f2d, 0xa1eadfb1, 0xf1b794dc, 0xd0df5fc6, 0x49d5bb5f, 0x25e3251a, 0x1c877ae9, 0x38490439,
+    0xd76a443a, 0x4ff9d735, 0xfb5f87df, 0x1cf8952b, 0xcf3c6db0, 0x456b9635, 0xd1d140e8, 0x7d417c74,
+    0xb5be442a, 0x76e146cc, 0xd7f916b1, 0xb79b2799, 0xa43e726f, 0x29cf0893, 0xc715a5d0, 0xd5375aab,
+    0x4ccc2a74, 0xb2fc6bfa, 0xd99f176d, 0x959c4046, 0x6a8c869d, 0x590a2141, 0x97d5178b, 0x0dfdc26e,
+    0xc6aab6d7, 0xa808f11e, 0x4e3bac63, 0x5f8fefb4, 0xc135811d, 0xcb122f97, 0x9260782b, 0xcfa77a9e,
+    0x59049137, 0xb0bcb6a5, 0x250542bc, 0xe19104b1, 0x32f0317b, 0xc508a6f0, 0x4692848d, 0x3568de1c,
+    0x15587034, 0x8e2a7242, 0x27dca281, 0x27d886d4, 0x1c6b22ac, 0x0a71379f, 0xb1a8ce1c, 0x6ddcd3ee,
+    0x468b59d9, 0xd667aa1d, 0xff63e2a4, 0x92e1c642, 0x73bd89e3, 0x8edcf091, 0x3ba3b3dd, 0x34ac2be8,
+    0xdd4ac539, 0x89953f54, 0x12ca703c, 0x5efdcd43, 0x946136dd, 0xd19488c5, 0x4a16ee12, 0xbafac709,
+    0xcf00c6ee, 0xc3fe6e3f, 0xcf444095, 0xa4e043b6, 0x6969f3a4, 0x838ddbc7, 0xd2d24c9f, 0x1d6c2967,
+    0x2828f153, 0xba7c01b8, 0x318b3e9c, 0x6a9a49c9, 0xb4393620, 0xb7573702, 0xb1c4ea0d, 0x26c4f36d,
+    0x4ccdcdf8, 0xb768fe91, 0x1bfa5baf, 0x0c60a508, 0x85c0df85, 0xf15eb637, 0x460dbe8e, 0x9873657f,
+    0xbd1deeb8, 0x10bc28da, 0x7170854d, 0xf8982878, 0x6e48e7f9, 0x9f817f8a, 0x23e5d263, 0x209f9f81,
+    0x593a4379, 0xa0cb22e2, 0xc39d442b, 0xed2c60f5, 0xbffa0b06, 0xe8f52975, 0xc01a12c1, 0x916767b4,
+    0x736c910b, 0x14ea8934, 0x7fc5c0db, 0x988d85da, 0xdb19e1f4, 0xadc7f7d1, 0x5a31793a, 0x6857dc2f,
+    0x896f7dd3, 0xc4e5e22c, 0x28b9478b, 0x4c9539e7, 0xce4b2d92, 0x2ae87f5b, 0x0c7499ab, 0xc9aedb3b,
+    0xcbd3639d, 0x54c03940, 0x084e9d3b, 0x60ac88c4, 0x224b23d9, 0x4729a23d, 0xefddc873, 0xffb524c0,
+    0x4bb5bbd3, 0xcdf613c3, 0xa677ae8a, 0x3b79a50c, 0xa5159ac7, 0x46e106cc, 0x07df9149, 0x6f2b76aa,
+    0x352c9b99, 0x69c31ce0, 0xd0683fbd, 0xf276e5b6, 0xf698a33f, 0x428b70e8, 0xd6101b96, 0x08b6eb70,
+    0xb3323970, 0x23bf6a91, 0xab64f8f1, 0xabab4d9d, 0x2dc62d9e, 0x4a1d7e44, 0xc4650edf, 0x218ac738,
+    0x60357b9f, 0x100d9364, 0x5df6d119, 0xec73a3c4, 0x56e80daf, 0xf3b1034d, 0xe45cb958, 0x5bc3562e,
+    0x179e6b0e, 0x6d9ab198, 0xd464bcc1, 0x8151ef59, 0x22bd7014, 0x42014970, 0xbe3b43c4, 0x484d95ce,
+    0xeecc7398, 0x1547f22a, 0x05fde34c, 0xe38a8846, 0x42da21f1, 0x8526df7d, 0x7b3c430e, 0x1daae56c,
+    0x1a111dc1, 0x47e814ec, 0xb2fa9632, 0x4f44af86, 0x3edced67, 0x82dcfc9e, 0x09df22a7, 0xf34312da,
+    0x1322b52d, 0x5ad0515e, 0x4b37379f, 0x5c367244, 0xd9eacbeb, 0x09875c79, 0x9a9e2b97, 0xc523f90a,
+    0x09ee85b2, 0x4391ea8e, 0x85407fd1, 0x9bea6cdd, 0xfd3f8c00, 0xacc26335, 0x0a8080f1, 0x51a5c286,
+    0xac18801f, 0x50cdc74f, 0x887d6b1b, 0x00773a34, 0xfe1c6a24, 0x07946d74, 0x23a2bfcc, 0xc8375785,
+    0x6a6b81fb, 0x8a5c87ae, 0x29d8d96a, 0x1308cf79, 0x49528a36, 0x99782684, 0x571cba94, 0x45a3585c,
+    0xde8d4771, 0xbf71a009, 0xa1009a7c, 0x3d683315, 0x0ed8637f, 0xea28ee56, 0xc8f82b27, 0x7d220bb6,
+    0xe45ed880, 0x805bae99, 0xb3f62363, 0xa716a66a, 0x425704f3, 0xa6bc60a5, 0xe7661422, 0xc71f6207,
+    0x4fbcf479, 0x3d7d6c78, 0x4bc3fe55, 0xb42662fa, 0x2b28b5a9, 0xaba906ee, 0x8cdc0179, 0xb2c19d2f,
+    0x54d6703d, 0xee68db05, 0xbd034849, 0x51f00a68, 0x5009db31, 0xd0abc1d2, 0x033da3d2, 0x57c5dc30,
+    0xfe538970, 0xa29c6a2b, 0x47d7465c, 0x99a1fd09, 0x00a65aa6, 0x8945e92c, 0xb46e83e8, 0x90ea5ecb,
+    0x0fffdd21, 0xeea633a0, 0x85a328ee, 0x8a917345, 0xc3223a6b, 0x2d45d6b4, 0xf2d26665, 0x3e3080bc,
+    0xe668654b, 0xe812fc45, 0x66bfb5ab, 0x43c46ce3, 0x0795ea2e, 0x4c55781b, 0xc0a8a2b6, 0xd967fc7d,
+    0x838e10be, 0xb15b5d08, 0x6314a766, 0x1e87eb14, 0xc8c4eabb, 0x3646434e, 0x93d28630, 0x419c5efd,
+    0x268ca0c3, 0xfb146ef3, 0xaf89e0e5, 0x4244447c, 0x98ba292d, 0x7843d3a9, 0x2cb08df8, 0x4beeb157,
+    0xbe08244f, 0x6cb82026, 0x3c2afb74, 0x95f536de, 0x667991db, 0x2045a8f8, 0xd897146b, 0x98c42ebc,
+    0x94c0fbba, 0x907d5b07, 0x3ef318cf, 0xb4916dec, 0x498b1a44, 0xee8913e6, 0x302071c3, 0x0fb906ad,
+    0x4549cd52, 0x50f451f3, 0x38c1660b, 0x5984c44f, 0x286f171a, 0xb774adc7, 0xe2368642, 0x6e5efed5,
+    0xacdd1fc5, 0xa05a04d0, 0x526dc623, 0x4096d25b, 0x55868e17, 0x13fdb267, 0x145ed276, 0xf25354f3,
+    0x5ae579b0, 0x94afe231, 0x7ea94551, 0x38a9852a, 0xd0314976, 0x4622a58f, 0xa6817ea8, 0xc02b8428,
+    0x78588f85, 0xd9ea217e, 0xb657043c, 0x9e3afe29, 0x10fc478e, 0x8197b8ea, 0x6a1a956f, 0xba1b26f0,
+    0xb282790f, 0xa13f0225, 0xca0cc0d0, 0x4cbfa170, 0x05e846cb, 0xab99277e, 0x97017bba, 0xcfe5f450,
+    0x977a7e22, 0xb1155aae, 0x0e146333, 0x7ef3048c, 0xbdfc740e, 0x57826b2f, 0xbdd1fe19, 0x4fcca800,
+    0xea5505ca, 0xec7591e8, 0x3f7a0c22, 0x3cdee4fc, 0x0903248f, 0x758f6205, 0xf599d74c, 0x70a20591,
+    0xd2e8a8ae, 0x2074c417, 0x69ee1244, 0xcd38891e, 0xfafb9c21, 0x8c1f0277, 0xab7c7dc7, 0xfbbd6cc0,
+    0xd97637b1, 0xeadf6d2b, 0xeefa8494, 0xbc4fc439, 0xdcb975e1, 0xc8c9467d, 0x6d1b9c52, 0xfeeaa419,
+    0x3dbf04b2, 0x490bcf53, 0xf270489c, 0x6e443e97, 0xa40e87dd, 0x0b9538a5, 0x3e49d918, 0xe29eeff1,
+    0x6cd457d1, 0x336f305d, 0x367b4fb8, 0xf308e676, 0x19a9560d, 0x466776ee, 0x98140650, 0x58ecf2ea,
+    0x43ec87c2, 0xe34808c3, 0x48b2dc78, 0x09973a66, 0xc770fb2a, 0xd574f4e3, 0x479852cb, 0xbc991458,
+    0xcbf8d519, 0x83d5fa95, 0x09721f2e, 0x655df692, 0xd45cce44, 0x29eb5017, 0x3af259d3, 0x1f76f436,
+    0xc1cf89c8, 0xfce736aa, 0xefbea978, 0x3a350aae, 0x8aa64c8b, 0x3e228adf, 0x4fd5c4b5, 0x8d740227,
+    0x0fce76cd, 0x53468bf5, 0xb13f088b, 0xb9e822af, 0xb8d8a70b, 0xb9518c59, 0x4db5e0e7, 0xfde5e343,
+    0x904da690, 0x86571cf6, 0x9b93ddbd, 0x74360458, 0x9c8cb6b3, 0xf7e30a23, 0xa0b7eea9, 0x469de59c,
+    0xdadec981, 0x50aea035, 0x3c3f47c4, 0x2cc9461f, 0xdfa72c09, 0xab641f0f, 0xb21af641, 0x6de683ba,
+    0x4be10f6e, 0x9390d45c, 0xddb70265, 0x444ebee2, 0xd086eea9, 0x0a21a78f, 0xe71edf27, 0x191c8944,
+    0xdab919e7, 0x8e445eac, 0x83f04d1a, 0x2a7ef25c, 0xd7599fc0, 0xfc40790e, 0x9cf0e1b0, 0xed311362,
+    0x27cbacc4, 0xddf82018, 0xdb573d4a, 0xbef9bcae, 0x142c8956, 0x9395ee63, 0xea726c6e, 0xd41ea9bc,
+    0x5d077d06, 0x1f12d738, 0x372e5f0a, 0x41785ae9, 0x9e562e13, 0x36b6128b, 0x982bdc31, 0xadccae3d,
+    0x788f8198, 0xc9cd743e, 0x07a9a487, 0x713a0ccf, 0xaadf7b5f, 0xb1b3b446, 0x38ae954c, 0x74160871,
+    0xb2ad2139, 0xf6ba5f54, 0x487b47e5, 0x7101ac19, 0xbdb0f3f0, 0xa0c4cb96, 0xc0c73aa9, 0xd3d13c86,
+    0xe6189418, 0x29f7cd84, 0x08b7f172, 0x139e30f1, 0x50ac4171, 0x690581dc, 0x0693f6d1, 0x285dcb36,
+    0x85c04a53, 0xd2919a1b, 0xca8d7766, 0xda0282c6, 0xd9b7c861, 0x27dcea0b, 0x28084cc5, 0x62b67096,
+    0x967538c4, 0xda9a9de1, 0x78655a9a, 0x46c55a01, 0x2e0fd441, 0xc60a8a22, 0x08ee8081, 0xc2af1281,
+    0x441fcb3f, 0x60cff4b0, 0x9f2b3c5d, 0xab7921f2, 0x375dd9b0, 0x6d02130d, 0xfd4285bb, 0x3eb5ba41,
+    0xbe25e0ec, 0xdfaf8a2a, 0xcd558d27, 0xd628f2f7, 0x6a1e267f, 0xc2d55c3a, 0xeacd835b, 0x3dfd3728,
+    0x18912f70, 0x4bd8f37e, 0x31e72f94, 0x22e74249, 0xaa528362, 0xfb637326, 0xaec7d69f, 0xedf6d0e3,
+    0xc8c17af6, 0x944c8eb8, 0x3830e164, 0xb933b1f6, 0x4f76e12b, 0xcbb57eb8, 0x5312d175, 0xa1d97e98,
+    0xb28e9f90, 0x6f95470c, 0xc12a3ecf, 0xb59f1d85, 0xd0e0e6fe, 0x26716aa0, 0xbf7a74f5, 0x6d58179d,
+    0x9ba455ad, 0x9928a4e8, 0x60d1b39a, 0xdb903c8d, 0xf35a5c2d, 0x2e7c1f2d, 0xb81f38ad, 0xea3b0dbf,
+    0x46ade1c6, 0xffd333c5, 0x4cef807a, 0x1c665763, 0x3a518789, 0xb628369c, 0xd5179383, 0x152fc0a5,
+    0x637d7a7a, 0xb2a8b625, 0xc58cdad4, 0x789f6a8f, 0xad11cbf0, 0x6f9fe624, 0x31b59249, 0x6b30135a,
+    0x780616c8, 0x667f0fd7, 0xbf1621c2, 0x3b1d11c0, 0xe44bc9c3, 0xf550886a, 0xce80bd30, 0xe710ec92,
+    0x64bc8a1a, 0x32c9e29d, 0xb6fd228e, 0xf9f90863, 0xaf873a61, 0xf0cce64d, 0x9fae1222, 0x559fbf75,
+    0x7091791b, 0xba1ce066, 0x0390a4dc, 0x48faf38d, 0x44873e4b, 0xd7d07e5b, 0x49d03695, 0xf9788bda,
+    0x14729c77, 0x83519e7b, 0xae7fae60, 0xf764ccfe, 0x1c1ac51b, 0x905e7513, 0x5d33db8b, 0xff44b1c5,
+    0x9978d4b9, 0x7895ecb3, 0xbeb8dc03, 0x114178cf, 0x518bde99, 0xd53573f4, 0xbaa8b726, 0x70cf49c7,
+    0xc4d27d89, 0x59add764, 0xbe0cd4c2, 0xf6cd14d3, 0x1c8eee9a, 0xbfdc1543, 0x1b17642f, 0x88415722,
+    0x8c1d0135, 0x515c41c3, 0x149bff3e, 0xcbc90153, 0x0438e556, 0x64abbbbc, 0xb7364666, 0x326565ed,
+    0x2f017ac8, 0x23c826cd, 0xe7cc416a, 0xd20844ff, 0xd5b65bc0, 0x89b8d40a, 0x69d7a148, 0x8e1d26fe,
+    0xe5528252, 0xc022b694, 0xa371e468, 0x0f1c402a, 0x772fbe5a, 0x6695d604, 0xc1be2c9b, 0xca51dc82,
+    0x5782f0d3, 0xeaa5c37f, 0x76cc6bed, 0x5e4a3498, 0x0b87a88a, 0x16e20731, 0x16700177, 0x8a2ca537,
+    0x9762e5e0, 0x38855757, 0x1734315b, 0x34c31149, 0x43c270d3, 0x77236600, 0x0ce2a197, 0x553ce321,
+    0x17b937d1, 0x16c70563, 0x9b3c1e1c, 0x0ee32e3f, 0xaff6adb4, 0xd59e1e49, 0x8dbc99ea, 0x97ac753f,
+    0xbe67adb5, 0xb4d506a1, 0x507428f5, 0xf514db54, 0xb737236d, 0x4d4be1c4, 0xc213c4d7, 0xd7f32b96,
+    0x4fa532ab, 0x9eb12e88, 0xcbe40653, 0x963fb1ec, 0xcfd8ac1f, 0xeac0d8bb, 0xd8259a85, 0x8171402e,
+    0xe1a3a2ec, 0x7b0f358c, 0x49090709, 0xe10d0b17, 0x330b5d25, 0x70c377a9, 0x644cff95, 0xfc0a9815,
+    0x4851aaa5, 0x80e6088d, 0xf43b8da8, 0xf8f6700f, 0x383faec2, 0x7e254d9f, 0x087c2efa, 0x17ebbb56,
+    0x1bbc08b0, 0xfad16057, 0x3f04267f, 0xb54a0802, 0x96ff0f54, 0xedd2f9fa, 0xd9ce3239, 0x57e4686e,
+    0x8b16961f, 0xa4d6e835, 0x31d4b29d, 0x173c631c, 0x38374633, 0x4c2e263c, 0x5301bda1, 0x7381219a,
+    0x3566f193, 0x998278e7, 0xc8f4fd23, 0x6311e2c8, 0x937aa5a8, 0x89988a26, 0xef70fff2, 0x55b3291e,
+    0xf1f2c46a, 0xd297647a, 0x7fd0e4a8, 0xe066245a, 0x828a2366, 0xec7d7c2d, 0xf88d98ae, 0xbec40945,
+    0xc6f5f995, 0xb0ab847f, 0x1cf21fe9, 0x72b67956, 0x4d1bde9d, 0x216aa759, 0x144b370e, 0xf793181e,
+    0x00000000,
+    0xfde9dd50, 0x59d06650, 0xc8082e78, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf,
+    0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000001303703024854071\
+                         09521180524058200202307293977194619920040712988758680403184853549195737432064 */
+  { 0x00000000,
+    0xefd5f332, 0xf248eed7, 0x6ede7ee2, 0x316bc065, 0x68688c21, 0x40932b9d, 0xd654734b, 0xba7e0eca,
+    0xbedc7d47, 0x6013a082, 0x3bd4512c, 0x4638455c, 0x2475ab74, 0xcf2767b3, 0x6194432a, 0x15197034,
+    0x4f772cb3, 0xd87b023d, 0xaabe3b14, 0xcdde5d1b, 0xbac6e211, 0x281c1949, 0x25b363a0, 0xe2d7ac89,
+    0x310ed58a, 0x675f0c29, 0x8f9d66b3, 0xe1b927c2, 0xf0fb14f4, 0x1d8ea52f, 0xe622c4e8, 0xa6a29097,
+    0x601f45ef, 0x91fed9a1, 0x020eb38d, 0xd43d7814, 0x224f36ef, 0xd3c21f20, 0x65fef726, 0xf9643888,
+    0x7fafd4ac, 0x8c7646bc, 0x222fca3f, 0x48525791, 0x64b5d8f2, 0x7acd3e69, 0x80d04296, 0xd24521cc,
+    0x8cbfef33, 0x282d89b8, 0x3108cb20, 0xff9f96bc, 0xd899be9f, 0xb103b3e1, 0xc5301a38, 0xe75838f2,
+    0xe552862c, 0xa450c841, 0x7bb405f0, 0xf9c18ed4, 0x202c1400, 0x5014aa79, 0x11f99498, 0x97e0bc58,
+    0x48fa2c6d, 0xa11e83dd, 0x7ed3c8d3, 0x632ea171, 0xba176b96, 0xc148e6cf, 0x1f13f0ae, 0x18951483,
+    0x04ff3ed4, 0x4fbd5a01, 0x36c3ef95, 0x61127a97, 0xd7b341c6, 0xe5a818f4, 0xf28f3041, 0x8bfceae2,
+    0xe89eb690, 0x8a819696, 0x37941001, 0xfec1d860, 0x7362f291, 0x4fcc2117, 0x97e790bd, 0x75e902de,
+    0xed591254, 0x77b8e04a, 0x1033c2ca, 0x0b9f54e9, 0x3e599a51, 0x9cf65b1a, 0xa4d94884, 0x40e32aa0,
+    0x8c8718d7, 0x0f9439e0, 0x2b226af5, 0x0d7fecc7, 0x9f9fe0c8, 0x04a79596, 0x6f5fab8f, 0x706e92c4,
+    0xe4c71df1, 0x325ff59e, 0xa07e7f88, 0x192cbbd1, 0xab20d814, 0xf8b8959c, 0x54073d76, 0x432cd2e2,
+    0xd58ade5c, 0x622e3d7c, 0x97c758ce, 0x6dfa098b, 0x817b96c8, 0x160317d2, 0x8adb035f, 0xdd001a88,
+    0x167e1e50, 0xab346513, 0xb6cf3d0b, 0x855b05ab, 0xb5eb04a9, 0x3a1c9f35, 0x1a149320, 0x9741d170,
+    0xb6597807, 0x56f0c57d, 0xc125cd6d, 0x4a2bffdb, 0x6e0eaa71, 0xb9af1802, 0xbe2f9d06, 0x4299a877,
+    0x2d520557, 0xc38ed6ec, 0xf2c0cb68, 0x4f224b6f, 0x7684bd2d, 0xb2b8d5e6, 0xb8e7718d, 0x8ff269a9,
+    0xf2d7b2c7, 0xecee3a41, 0xd1f62500, 0x032f12a6, 0xab715d91, 0xdcf07b7d, 0x057997c8, 0x00f5c3fe,
+    0x79e0aa8a, 0x457b3f04, 0xa7e36cec, 0x433bd2e9, 0x79ef15af, 0xd22ee781, 0x070b45f0, 0x5a591cc9,
+    0x959f41f5, 0x2af72303, 0xa82c1335, 0x4676230b, 0x68fa52ac, 0x20c08813, 0x2558bc1d, 0x041054b2,
+    0x0b57e06e, 0x14809a64, 0xa014b0b1, 0x48f18b8d, 0x2ffe73b9, 0xb804d854, 0x276de6ea, 0xfe8fe73a,
+    0xb33a7d66, 0xaa3abf5b, 0x950ff606, 0xe1067f51, 0xe631c2d6, 0x9ce73c8b, 0xf670a72b, 0xe75fe71d,
+    0xf029e9ed, 0x56c0fd71, 0x4a9ec0d6, 0xcd99968f, 0x0ac9f9f7, 0xd409219a, 0xb3c2f33f, 0xffd997a8,
+    0x492ee691, 0x510b1141, 0x3d6a0778, 0x9ab40ba6, 0xd446c0c0, 0x09c4cd31, 0x85963797, 0xf803b6df,
+    0x479a0dd9, 0x54b0b9dd, 0xa618dec2, 0xe71be44e, 0x6f75d1da, 0xbe3b5dff, 0x6d5d7f81, 0x1d429163,
+    0xe5d34b6e, 0x01d30545, 0x52fea990, 0xc6462efb, 0x8c705fe2, 0x62845190, 0x5769af5a, 0x0535bbd7,
+    0x3692e752, 0x4b6fc2c5, 0x2bc674ca, 0xaba8dbbe, 0x309ab8b2, 0x6c1161a8, 0x019756ce, 0x9f381d13,
+    0xe54b44bc, 0x29fa47b8, 0x7950077b, 0xd363ad6a, 0x34aa69d8, 0x51f97c91, 0x6953254e, 0x8822ed82,
+    0x769bcec5, 0x25ecc4b6, 0xa03650c4, 0x57e5e4b7, 0xc2f1b1ad, 0x099e3443, 0xeb9add08, 0xa0017de0,
+    0xc039f4d0, 0x17e09740, 0x69b4b4ec, 0x92735a58, 0xac915910, 0x73d76e62, 0x53dc6c93, 0x1513cdba,
+    0x5b8f6a09, 0xc34ffa3e, 0xdac64252, 0x01f00a29, 0xed9f612b, 0xbf7bebd2, 0xcff35309, 0x29d4d8b5,
+    0xabafa09a, 0x696c2ecd, 0x0dbd8d8e, 0xeb9bcb1b, 0xd4fa9537, 0x037b14a7, 0x6c4af9ed, 0x5937174c,
+    0xabe03cd9, 0x1f32263f, 0x373814ff, 0x353d7f39, 0xf7a28b38, 0x53836583, 0x32a3f7e8, 0xf62e2e8a,
+    0x4e6452bb, 0x4fac994a, 0x53af87be, 0xba9123b3, 0x1b107aa7, 0xfa4a235a, 0x64a7daf2, 0x85112bc8,
+    0xab71f3b2, 0x35442432, 0xd4571855, 0xbcccef61, 0x325e6449, 0x02f3a23f, 0x3c97a0ef, 0x87badbac,
+    0xd03c643f, 0xfab88472, 0xfc97d535, 0xf30cbf28, 0xb302b329, 0x796627ea, 0xf3cb0b69, 0xd870cd30,
+    0x922afdf0, 0x5ff8336b, 0xc91cd964, 0xf59e41ac, 0x06ba5b88, 0xe85a8407, 0x0f245419, 0xcaf962ae,
+    0x0fe9dfc5, 0xcec0bd1d, 0x009e4f6a, 0x81805412, 0x846589c1, 0x9984c064, 0x3828ec0e, 0xb497856b,
+    0xc45a98e4, 0x1421690b, 0xf794c4d3, 0xfe526894, 0xa37d3b38, 0x127f1873, 0x0e7ee2fa, 0x868e2a43,
+    0x46948aad, 0xffd48904, 0xebb9f35e, 0xf40275f6, 0xc3a35f2a, 0xac8f98bc, 0x1ff891b5, 0x43a83337,
+    0xbfd40bdb, 0x778b2bab, 0x61cc8f29, 0x201748a9, 0xe431fcc4, 0x872d4599, 0x26fd7a27, 0x4ce9189d,
+    0xb563d344, 0x60216763, 0x561e3307, 0x087d0e07, 0x34ef3f35, 0x68b2d307, 0x6d5a2e94, 0x5251aaa0,
+    0x4ec91d0b, 0x58fdd325, 0x5941d30a, 0x779c44dd, 0x9add9858, 0x04c62ce7, 0xac0d0af4, 0x5a8dc6f2,
+    0x10920618, 0x4edb132f, 0xd978fee4, 0x2f337965, 0xd9925100, 0x01dd5017, 0x040f115b, 0xa2fdd750,
+    0xdee8d7ee, 0xaad292e6, 0x4b52cca2, 0x98ac817c, 0x94825c18, 0xd4fb9ea1, 0x58adb52f, 0x1553a81c,
+    0x32a0bdd0, 0x12092e84, 0xd3f7a1bd, 0x07d65fef, 0x04970f6b, 0x94b53b82, 0xffa7a714, 0x18a26415,
+    0xbe2d866a, 0x2000eda4, 0x66598280, 0x2338f705, 0x2ea94ec0, 0x13d948df, 0xde633959, 0x3602efbe,
+    0x380986a0, 0x28300b62, 0xaa09c3bd, 0x13950ab8, 0x7918cd0b, 0x77d9c995, 0xf3c8f59c, 0x11fc4dab,
+    0x1b0e65bd, 0x84f65976, 0x92c3fa78, 0x19c1bfb1, 0x6d8d4bd0, 0x83c9a215, 0xc582ea0e, 0xbdf7ce82,
+    0x3b75132b, 0x07f08935, 0xf12cc81a, 0x23194853, 0x785d0866, 0x0948d770, 0x86401c42, 0xe82ad1eb,
+    0x08725b2c, 0x5ebafb06, 0x3313db7c, 0xae0122f6, 0x04e6e7a0, 0x59686ca1, 0x04b21297, 0x9a2b62a2,
+    0xcab875d7, 0xc0f67f43, 0xf8eaadf9, 0x506f8f61, 0x86e6c124, 0xdf53253c, 0xdf315d35, 0x35bb41f6,
+    0x0dda2635, 0x64df2c29, 0x377a2d4d, 0x7d219795, 0x4702c2ef, 0xc78ac0d1, 0x6963e51c, 0x8cb726f0,
+    0xb7f5b1ea, 0x8623fafe, 0xc16bf5f9, 0xad5b0ca1, 0x9de7cc8c, 0x11a450bf, 0xfd69a841, 0x974d5589,
+    0x6a6b27bf, 0xe93383bc, 0x61d8e087, 0x40861e7b, 0xc4263df5, 0xbfec2da7, 0x3ea30927, 0x7c78c50f,
+    0xad44e1b5, 0xef5c714d, 0xe8635dab, 0x09778aaf, 0xc8ac8f48, 0x76eb3f56, 0xa93ff3fb, 0x15c95bc9,
+    0x260191e6, 0xc416c16b, 0xa5de2331, 0xa9e57a23, 0xefc5b9db, 0x61a25a4d, 0x3d9f3aa2, 0x6e0e78d0,
+    0x7a5f6e89, 0xc56640c4, 0x5ea6b7e9, 0xecd247ba, 0x6e0a3c32, 0x92abbfa7, 0x31bce5ca, 0xf4dce0ae,
+    0xe1475859, 0x86de0074, 0x33f94299, 0x41e88bb0, 0x3d700979, 0xbca6ddb7, 0x8e131d5d, 0xe95ea611,
+    0x79616d5e, 0x133f9449, 0xf8eeacbe, 0xa284cf13, 0xb1656d26, 0xaa98bd24, 0x37b5cf89, 0x26a1dda0,
+    0xf75a48a4, 0xb38af7fe, 0x3b25bfc8, 0xe1c12850, 0xadf4fb42, 0xf441d577, 0x0575dd2f, 0xe2d09b0b,
+    0x7fa75227, 0x5fc473e7, 0x00c26556, 0xc2b07d13, 0x31afa66f, 0x8cd1d26a, 0x212af909, 0x4a2e8e7e,
+    0xdc5b0378, 0x8e5a62b9, 0x85427abf, 0xbce605d3, 0x6bebf03f, 0x8d411840, 0x7b446db0, 0x086a74b6,
+    0xf718a6ad, 0xefe0d8ae, 0xe0b48c10, 0x53b52aa9, 0x699c4963, 0x47cb9261, 0x6ed6c6a8, 0x5367851d,
+    0x39c31775, 0x59b2b427, 0x7d17ebba, 0xdf0f2b9a, 0x0dd0e70f, 0xee0e0ab0, 0x3b3c6c29, 0x0741f4a9,
+    0xbd78d68b, 0x4d7ce159, 0x02f3d991, 0xce3582e8, 0x55dbedfd, 0xf9375589, 0xe387fe62, 0x99a79b0a,
+    0xb165c767, 0x0d9a31f9, 0x8048fa3d, 0xa0b5ac77, 0xb98acbb7, 0x4865f22f, 0x0b76c5df, 0x45da86b7,
+    0x6150eeae, 0xa36f1b81, 0x1f0763aa, 0xed395369, 0xf070795c, 0x776d78f9, 0x953d1c91, 0xc8748607,
+    0xf6a52718, 0x9eeb6e49, 0x2db810dc, 0xa5950b84, 0x99aac438, 0xb53d4d4c, 0x8eb32a36, 0x279d2777,
+    0x526e8744, 0x4e32a92a, 0x9591fa5e, 0xeb8d27b0, 0x39166f59, 0x1cdc83fc, 0x4fef3e3f, 0xd59136c8,
+    0x00aeed11, 0x70cda22a, 0xa28a6e53, 0x51e8b9fd, 0x25ccd41f, 0x9b8643c2, 0x7bf95624, 0x9f01c2c2,
+    0xb08ae315, 0x99a8078b, 0xc1389b85, 0x5319dab5, 0x4ea31237, 0xab743217, 0xe096fb73, 0xd33885f2,
+    0x21e55c13, 0xdd09bf34, 0xe948a285, 0x6edf79dd, 0x8d56b1d8, 0x12674775, 0xbbe82311, 0x51258e40,
+    0x039c0ea5, 0x32af2d3d, 0xd2a03670, 0xbc8b4bc1, 0xc00d1bb1, 0x4c55a883, 0x687e5214, 0x158d70b4,
+    0x969d41ef, 0x26e1acd1, 0x22ec260b, 0x155b1ae8, 0x6a42fed5, 0xa7edfa85, 0xc370f5cb, 0xc62978d8,
+    0xc93b43ee, 0x8604b4f2, 0x7f3761e3, 0x1999a5d2, 0x0239b8a7, 0xc42d0a5d, 0x9bde76e9, 0x9adb13cc,
+    0x0a61835b, 0xc755e2ff, 0xc748139e, 0x25278df3, 0x728fdd58, 0xd7b186b1, 0xc93af58a, 0x49bc14de,
+    0x81aec9ff, 0x5be42db6, 0x7a468ac0, 0x2beba5d4, 0xd0e30f9c, 0xed084181, 0x28e5ea87, 0xe7b107d8,
+    0x54e6172f, 0x298c0273, 0xb8f621c9, 0x60eab2a6, 0x9e4e4e76, 0x5c42f425, 0x4db817f6, 0x8ef5c2c5,
+    0x8dcbb046, 0x19c3b0a8, 0xa0a2f3da, 0x77a1288d, 0x17aa90a4, 0xec04fe46, 0xcfc606b8, 0x96273774,
+    0x223447ae, 0xf0f83840, 0x4facf22c, 0x22eff35e, 0x7c0ded6e, 0xdf5e56df, 0x568d654b, 0xc9d7d2ea,
+    0x834f4976, 0x58d025ab, 0xd7ce5dcb, 0x23687323, 0xb12267c6, 0xe76813b6, 0xb0cf07ad, 0x6bdd2a5d,
+    0xe4e4637f, 0x08437754, 0xa0645bc3, 0x52d63098, 0x08f976de, 0x3b84fefa, 0x0236f776, 0x1e998dcc,
+    0x39c0f11b, 0xb176c864, 0xf90ff2a3, 0xdf34aa4a, 0xc896c784, 0x8cbb9fa3, 0x867662fc, 0x9c701a55,
+    0x51fbb3d7, 0x9ca01765, 0xc7cdeb1c, 0xd1fbe953, 0xb004bbf0, 0xe9053ca2, 0xbbdc43d6, 0xae889fca,
+    0x284661ac, 0x1e8e93c8, 0x660337c2, 0xf607e5a4, 0x5021d6d3, 0x4cc32d21, 0x99819e81, 0xdbad01ec,
+    0xdddf186f, 0xf59e2caf, 0x13d70124, 0x87a878f0, 0xc648b940, 0x2fd02c74, 0x9b08a798, 0x88a90e76,
+    0x912eff76, 0x2327ea4f, 0x9a961cdc, 0x9bb8873c, 0x791a01e4, 0xcbab0fe7, 0xd83ad5c2, 0xb20acbc1,
+    0x4fa5bdb8, 0x6a5318b3, 0xc5edbfc8, 0x759b5709, 0xaa18f4f6, 0x21e78420, 0xe8b54e3d, 0x542ab8ac,
+    0xc05f7ad6, 0x309e8f9a, 0x624682dd, 0x8db96b65, 0x0e620138, 0xc477aadd, 0xd4300685, 0x795da160,
+    0x517b0611, 0x05b92617, 0x573e09bc, 0xcfc89717, 0xe83422e4, 0x00de825b, 0x946bd593, 0x42b41ef7,
+    0x50433f39, 0x628ccf84, 0x4c1e7049, 0x959954f9, 0x374df5c2, 0x2f993884, 0xfd0020c9, 0xc2f0434c,
+    0x95296ad8, 0xc23983f2, 0xe9b2984d, 0x9476d98e, 0x6e27d0f9, 0x0933d93e, 0x579aa835, 0x96cda387,
+    0x3056f5bf, 0x3b9b3827, 0x1a2eb54a, 0xe2585f91, 0x616f3659, 0x6e447319, 0x6394e656, 0xf840ba52,
+    0xeb336f1f, 0xb8c4f37b, 0x48e988db, 0xa3b8796b, 0x7874fcb6, 0xa81dd644, 0x79c4b842, 0xeba74a2f,
+    0xaedc9600, 0x9b28cb5a, 0x6e316db8, 0x8b413d1c, 0x3f635038, 0x0c9a94bb, 0xf3670d70, 0x19efd340,
+    0xc4cfc0fe, 0xdf5c05fa, 0xcafedce9, 0x5a4f0397, 0x1995f5f5, 0xdcb68a91, 0x8d4d14a7, 0x6cdb39a1,
+    0x4cfabb5a, 0x2abce600, 0x0630eab9, 0xf505e776, 0x70205853, 0x0fb51a93, 0xfa6249ce, 0x7368a4af,
+    0x1e5e1519, 0x7bfdb4f8, 0x30aa4a2d, 0xd667f053, 0x5369dc68, 0x0dbb9474, 0xde00b253, 0xd6f6a7ff,
+    0x5a4736c8, 0xf394ae2a, 0x137d6bd0, 0x0d086419, 0xae59a8f1, 0x49065f76, 0x0a09c776, 0x8c0d5b00,
+    0xc1f9a9f0, 0x6b820dca, 0xe5f7889d, 0xb2c9cac4, 0x6cf9a617, 0x420fa2f2, 0xaf084393, 0x585e78e0,
+    0xac84bb6d, 0xe2798d46, 0x4ae4b509, 0x44ad5619, 0x5df4ebc4, 0xe3b2ddcb, 0x7c11e331, 0xc5f430d5,
+    0xaf71a49f, 0x0f7ebaf5, 0xb1f12ec2, 0x65152a35, 0x649b26c5, 0xc464518f, 0x70ad408b, 0xd2e1ba8b,
+    0xa80d5245, 0x2af260ec, 0xc5038159, 0xa448868d, 0xdfcd2592, 0x78b99e77, 0x220f4c7d, 0x001e02a0,
+    0xa6423fdb, 0xc3cc5f1d, 0xf0c25f43, 0xadcaf15f, 0xdd4804ed, 0x5275b8d2, 0x74102a7b, 0x9e33c786,
+    0x0d1677cf, 0x492e73db, 0x1aba21cd, 0xb4642e8f, 0x753b8d3e, 0x6c8b6581, 0x692b3f47, 0x1a8470fd,
+    0x0bf3b380, 0xeadc30bb, 0xa7cf9f84, 0x03ac2e53, 0x6b08a9d6, 0xde81cbce, 0xd0e9056c, 0x1a876acc,
+    0x800476d6, 0xc6611f66, 0xf17842ed, 0xda9b52e6, 0xc0d1bec5, 0x7b2c9f6f, 0x378938eb, 0x7b766c20,
+    0x13becca3, 0x11d90a52, 0xe84b13ac, 0x4424b5ca, 0xbcd282d0, 0x555bd784, 0x86aa01bc, 0x69862c68,
+    0xa56a0448, 0x1b0442e7, 0xde7bc51b, 0x0b07fcae, 0x6b6034c1, 0x400f542b, 0x47bd19f7, 0xd4173bf0,
+    0xe48c9927, 0x2b62cc66, 0xdcd4b0f2, 0x6f8e8ca5, 0x9f3fecce, 0x9ada6bc8, 0xcfa3cb35, 0x92b5ea2f,
+    0xc563ebcc, 0x1b4dfda2, 0x54f9b947, 0x15558db7, 0x046b88aa, 0x79ad0ce3, 0x207dcecd, 0xf888d4fa,
+    0xf87452f9, 0x752eb18f, 0xb204a546, 0x3bf75c3c, 0xcea88d38, 0x3afc5080, 0x243473d7, 0x4d288db3,
+    0x4feca11d, 0xe93977a0, 0x03f86b3b, 0x4d95688e, 0x404476c7, 0x404970ae, 0x4c79350a, 0xeede36f1,
+    0x859b0a51, 0xf82465c5, 0xef1374f0, 0x2b18379b, 0x986f1aeb, 0x5e4a471c, 0x2842e3ef, 0x5e40c1b3,
+    0x26e63b36, 0x3b42e762, 0xfed2b043, 0xa003a111, 0xe92e07df, 0x26243e37, 0x5fe492c7, 0x2fd7d74b,
+    0xcadc838b, 0xe5c8fd31, 0x21a40adb, 0x46396a08, 0x181b01c9, 0x041451c0, 0xcbd70118, 0xc9875bff,
+    0x90ebd7f3, 0x4bf67d5b, 0x904e6406, 0xb6a1af45, 0x30c579aa, 0xcac2d6d6, 0x21f4063f, 0x216198f6,
+    0xd1f6a953, 0xa583d969, 0xdad6a092, 0x2794636a, 0xbb526cfb, 0xd8c8da0d, 0x95fd919c, 0xfdef695e,
+    0x8b9c3b57, 0xdeb8dabb, 0x907dcdfe, 0x70487ee3, 0xd464b898, 0x704ece90, 0x396a2446, 0xa578dd99,
+    0xffc0704b, 0x79bed18d, 0xf17056a6, 0x9fe5c43b, 0xf54d45ab, 0x379e179f, 0x09b29a77, 0xe1782f52,
+    0x59bf3607, 0x338bd1a1, 0x2090e9c6, 0xd4de7a33, 0xeff2e8f0, 0x1e8e880d, 0x438eb6a8, 0x6826f77c,
+    0x8442345b, 0xd7c281d5, 0x1a90f172, 0xf1b72b85, 0xfc380e84, 0xdac26917, 0x3c589502, 0x5f8b2360,
+    0x63b04e16, 0xdf52373c, 0xba657476, 0x3d000085, 0x9ad675d8, 0xb7677607, 0xf7874e8b, 0x1835aa46,
+    0xfaa19d70, 0x784881ac, 0x490b0003, 0x7be9c699, 0xb26bd9d7, 0x5452ced1, 0x9fd44d91, 0xfbc08649,
+    0x00000000,
+    0x7ef4eea7, 0x2ce83328, 0x6404173c, 0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f,
+    0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000651851512427035\
+                         54760590262029100101153646988597309960020356494379340201592426774597868716032 */
+  { 0x00000000,
+    0xfcb9bee8, 0x2828db65, 0x9687b2d9, 0xbd605e89, 0xe41a2601, 0x217fba2c, 0xd706d0b7, 0xa1e87529,
+    0x43345652, 0x685a7c4d, 0xb5408b0f, 0xf48f3d0f, 0xa02f20f7, 0x6290ceea, 0x5266376c, 0xe28e67bf,
+    0xca59928c, 0x56385c7e, 0xee7caab3, 0x1ecbb905, 0xd73926e3, 0x70a9e302, 0xd77575d7, 0xb59a3d49,
+    0xb8af8548, 0x6f701036, 0xd4a656c9, 0xf5179de9, 0xc2871943, 0x2cc220ba, 0x2b3e087b, 0x657ee386,
+    0x2c50a43f, 0xaafaeb2d, 0x320415ab, 0x3688205b, 0x2d7e2f03, 0x62cb0dd9, 0xe40f5098, 0x3eefa04f,
+    0xe3fa0fad, 0x5d2e0b8d, 0x7731803b, 0x5a69ead6, 0xd77207dc, 0x28b18e70, 0x9e0d2d08, 0x966f30f6,
+    0xf0ef1862, 0xd34282d7, 0xba6236b3, 0x09c7b68c, 0xe92b5e9c, 0xf44117bb, 0xe35c7728, 0x3e39ecac,
+    0x1f4c81a7, 0x7a2246c1, 0x817c31ee, 0xb4ce68dd, 0x9354cc3e, 0x7991d72e, 0x55986ed8, 0x9517f36a,
+    0xb0f6bdd0, 0x58c6f179, 0x9007d7b9, 0xac5d43ec, 0x3ed34ea4, 0x7a1903bd, 0x4ead0900, 0x3f561225,
+    0xdf3a1df2, 0x4c1e6cdc, 0x5c3123ae, 0x5c260d63, 0x965e2424, 0xcf547a3e, 0xe04f0557, 0x0d0d1cf1,
+    0x493af01c, 0x3bb22b1c, 0x486e8dcc, 0xd0fc336e, 0x0f6f09e1, 0x442a38a2, 0x0eb59f4d, 0x4bae7dec,
+    0x9454c476, 0x9b4d3497, 0x4d48104c, 0x0e859c07, 0xc93c36cf, 0xcb0aa9f8, 0x49b4c515, 0xe1dc4bf7,
+    0x780fcedc, 0x7c502148, 0x3f1ba3ff, 0xa6b41bb4, 0x69c57263, 0xd9d5bb85, 0x41c1e3cd, 0x908ac76c,
+    0x6956831d, 0xa7634ba3, 0xf2a392b9, 0x021b519c, 0x9f3cf6e5, 0x40e5698f, 0x08ef7281, 0x7540e4c9,
+    0x649fc602, 0x7886432c, 0x2f8c6bb7, 0x88a2bb64, 0x0a6a8c2b, 0xda32dd16, 0x15431cce, 0x75a22044,
+    0xdd0cd6c8, 0xbd759e6c, 0x04dc6e7a, 0xef79bf68, 0x30f3f911, 0xedb85c9c, 0x19543ba5, 0x0e09fc68,
+    0x13d09829, 0x790b9421, 0x590d7ed2, 0x79f3edf4, 0xabd1425e, 0x050a52fa, 0x9b7eac76, 0x79a87e53,
+    0xc6c4f959, 0x0f1354ff, 0xac7d85bd, 0xdaf2d8ad, 0x264033ca, 0x524da597, 0x728ee03a, 0x5e25c36c,
+    0x907a4c8f, 0x6af1099c, 0x3eb5084f, 0x61f1b5b8, 0x1287415a, 0x3e99a98b, 0x09dfdbf5, 0xbc8201db,
+    0x37bd92eb, 0xf4f94abe, 0xd672a2a7, 0xfbff39e5, 0x7aa95914, 0x5f29ce82, 0xb7232b85, 0xaed3e04d,
+    0x761b3bd5, 0x407fb2ac, 0x7d7350b2, 0xb140764c, 0xa8f0a643, 0xfe7af4be, 0xe0248821, 0xbc612aba,
+    0x0e80e023, 0xebf86f2d, 0xa3248fe4, 0x3a9590d5, 0x0961eb02, 0x10665f57, 0xef49925d, 0x6b4dee22,
+    0x0be628b7, 0xd9be79ca, 0xcb1da427, 0xa3455e32, 0x237114bb, 0x7dce55bc, 0x6880bcad, 0x85882872,
+    0xbcdcb85c, 0xa22f1672, 0x1ea17173, 0x6f6937d2, 0x22ff0b49, 0xd63f790d, 0xfca28c2b, 0xe47b59a7,
+    0xebf08ecc, 0xc89129a3, 0x93c7be65, 0x3a87f2d2, 0x5b85e210, 0x68ff4ec9, 0xe62106b3, 0x18b5e923,
+    0x66b40481, 0xe2979813, 0x7b137686, 0x12640b75, 0xfce36c1b, 0xccca564f, 0x62901b0f, 0xe5c99c99,
+    0x1e6f8327, 0xddf71ba5, 0x2365a001, 0x46b94666, 0xb5d31d68, 0x4727f4cd, 0xd22dc769, 0xba5c4ba1,
+    0x25e0c9fd, 0x14910a52, 0x0eab3c95, 0x50236f02, 0x5f742579, 0xb07bce8c, 0x7fc15f37, 0x0b0c81b2,
+    0xcb2fc443, 0xe5ab711e, 0x306e054c, 0x8b8947bb, 0x9fb0552f, 0x2d62f061, 0x4bc70897, 0x99c2a5f3,
+    0x761f1b53, 0x17a6822d, 0x959b8018, 0xe7854c6a, 0x64c47362, 0x4b47ea1d, 0xfac22f06, 0xbf82af58,
+    0x106288ad, 0xe528dd8e, 0x84c500a1, 0xbead39dd, 0xcef14a21, 0xe6d0fc4b, 0x9b6dd0f4, 0xae9fccb1,
+    0x16a190e4, 0xf5319b6e, 0xf0efd373, 0x5727a2ea, 0xe0f71e85, 0xf0a2ec64, 0x6cf10fe5, 0x2011ed51,
+    0xcd5c7733, 0xb0f7aaae, 0x6e9f2a23, 0x042e4620, 0xb30ea139, 0xfff824fc, 0xc72a58ad, 0x19cd3e4e,
+    0x8e4a16fa, 0xcc9e0d0c, 0x8266fade, 0x51972c2b, 0xd6c008c0, 0x5ced5777, 0x49d37d4e, 0xcb9d0434,
+    0x9844b0e8, 0x440ef75d, 0xae2aae6f, 0x00269104, 0x53b75407, 0x82e3eb77, 0x5d2d0b2b, 0x92fec5af,
+    0xa8b98f65, 0x2b32f23b, 0x3aea5b2e, 0x4731e06c, 0xaf732a08, 0x0e4dfcab, 0xede7c215, 0xeb94d4b5,
+    0x43d7e491, 0xbba112cc, 0xea7965fb, 0x6bf54cdb, 0x41902580, 0x4190e382, 0xa5709ff7, 0xc1aaeac5,
+    0x87474f4f, 0x6cd3f5cc, 0x5be826c1, 0x4b3f87aa, 0x713a9ab9, 0x9577b6e2, 0xa9e16e84, 0x295c6619,
+    0xfa7a5447, 0x92bf2ad7, 0xc532607f, 0x9b761fa2, 0xe7655966, 0x4319cfd6, 0xd0986e2e, 0xe498a5be,
+    0x01a350fd, 0xae259b80, 0xdec27743, 0x062d9c62, 0x91830177, 0x4387990d, 0x49e63dcd, 0xcfe4236d,
+    0xdea63cf9, 0x85c4b042, 0xa715105b, 0xa2a8cf94, 0x1ad1d5e0, 0xb91fc0c2, 0xcef58570, 0x90735400,
+    0x54c78518, 0xb8304687, 0x4ad5f65a, 0xe5c832ff, 0xe6fcef2b, 0xc7aa39cc, 0xe3733e72, 0xaa9f41c4,
+    0xe74d15ac, 0x26fded6c, 0xe79431ce, 0x793c7b1e, 0x3dcb7a86, 0x1000a1ab, 0x5a67b117, 0xacb208a3,
+    0x478e3f7d, 0xa225c61e, 0x988eb088, 0x5e5b9d73, 0x3129f8e6, 0x819ffbcc, 0x9a852f3c, 0x4eda8894,
+    0xf92dfd69, 0xccb74c24, 0x2f9f6024, 0x77b48eae, 0x9ee365c2, 0x65c7f995, 0xc99686ab, 0x4c1f1ded,
+    0x2138d8f8, 0x9478bbcb, 0x9a34f64f, 0xef0b3b49, 0x3c2674b8, 0x45e1d003, 0x3add9e7d, 0x31e0448a,
+    0xa2ea6b6a, 0xf806a253, 0x91c026c3, 0xe3943c7c, 0x012bdfb4, 0x3a23aac8, 0xca82925f, 0xe21f5b6b,
+    0x461bf2db, 0x596dce2c, 0xbb7abae5, 0x64d478c7, 0x58795469, 0xbe9b6d03, 0x2921491f, 0x8a0ca21a,
+    0x2730a547, 0xb105078f, 0xd1f8c2d3, 0xf6331e1f, 0x944d30dd, 0xe4db74a7, 0x8378a3e3, 0xb59e418f,
+    0x9580103f, 0x69b4963f, 0xc57f0f5d, 0xf8fb1c04, 0xf0946610, 0x3168e499, 0xd6461587, 0xd6f56f1f,
+    0xdb353e0a, 0x05d2dc41, 0xc9119e28, 0x26168036, 0x9506e214, 0x0ac5c660, 0xe9455ee2, 0xe26f0fda,
+    0x5cebf36b, 0x0c935410, 0x905940c4, 0x16f938e6, 0x6c272f60, 0x6e54aab8, 0xe9f97aad, 0xe5a4dd5d,
+    0x4a8b52fa, 0xcb8265e6, 0x009800c3, 0xf982e9f3, 0x0967dc82, 0x563f6788, 0xcf837b30, 0x8bf621ce,
+    0x88b5de5d, 0xe9f3b132, 0x3d93997e, 0x0aefd9e9, 0x9fdb7b31, 0x49132199, 0xce84d206, 0x095c7aca,
+    0x1b6b807b, 0x86ceb033, 0x7b02365d, 0x3bed796f, 0xd6df7f2e, 0x5c20b777, 0x65160cd3, 0x33c6fcb5,
+    0x2ea96e8b, 0x4a947faa, 0xbd793e1a, 0x2bc7fff4, 0x05ea9559, 0xb5194943, 0xf4058aa1, 0x7efd1d68,
+    0x7f02acf9, 0x2ce97a67, 0x58f096d6, 0x303ed89c, 0x0b45042b, 0x89a883fd, 0xed336518, 0x3d510d1d,
+    0xc0706c0d, 0xc2a0da1c, 0x0b7a9c73, 0x2cc6f253, 0x4b908499, 0xeb30c48d, 0x9e24333a, 0xb00c0029,
+    0xcd63162b, 0x06a5e661, 0x3fcc4bf0, 0x1d39e27f, 0x9c70197a, 0x48a8df55, 0x0203f0cd, 0x127f17a7,
+    0xfb54ab50, 0xe5334b94, 0xf690c2a7, 0x40bc1c2f, 0x822dbc25, 0xef11c5ba, 0xf0fec48c, 0x7ca78547,
+    0xb4e305bd, 0x4fac5d84, 0x0063d34d, 0x7801794d, 0x083a70ce, 0xdc961839, 0xe4618df9, 0x746d5533,
+    0x5edc228b, 0x874655ce, 0x2419dd43, 0x8819976c, 0x47907526, 0xf36dae23, 0x946185ec, 0xdda0c95a,
+    0x422ed23d, 0x583007e1, 0x09d7b358, 0xe0fac46a, 0x35907030, 0x3dc9542b, 0x3fd71a25, 0xef7f283e,
+    0x3a57a027, 0xb99898b8, 0x63248534, 0xad2de10d, 0x1e717a4f, 0x52a33af9, 0x27e81b52, 0x067b48a4,
+    0x646aecf1, 0xe1008faa, 0x4e4ab189, 0x6a80265d, 0x1d3a6cec, 0x3e9e5cec, 0xc7be5ef4, 0xf6f0a471,
+    0xd8e047b3, 0xcf0e442e, 0xc170d550, 0x644cc524, 0xa48f495a, 0x41d9a7ec, 0x5ee24beb, 0x539b7fc5,
+    0xb80111d2, 0xa7b3c031, 0x1c8180c3, 0x488bfecf, 0xb507dc69, 0xd215f895, 0xef5ef87e, 0x02f4f8b7,
+    0x28dbb994, 0x65fc9c9c, 0x01a0e382, 0x0660d9d8, 0xb03db3f4, 0x6f232a25, 0xe8a75783, 0x2d9d56af,
+    0xb501ef2c, 0xe996cb46, 0xb810581b, 0x6ff15d51, 0x0f195285, 0xb8fbff7b, 0x8f035f67, 0xbb5b7ad9,
+    0xf1e0faf0, 0xe72d6018, 0x6c5ae6f1, 0x011fa7a5, 0x23199e47, 0x1de02955, 0x5987c40c, 0x06ca802b,
+    0xf6f2f459, 0xa4dbdf2f, 0x9cf3c644, 0xad324a1b, 0x04dd1814, 0x25391ebc, 0xc9180918, 0xde6d5e94,
+    0x04649fbf, 0x4ef94629, 0xf2a1edd5, 0x603d7084, 0x7fe3e666, 0xab42db8f, 0x9d72397c, 0x3b06f226,
+    0xa68263f2, 0x19a6f203, 0xff610022, 0x67aa8771, 0x52e04df7, 0x43a3d4c7, 0xafabca1f, 0x06e4e769,
+    0x402e29a5, 0x0d1617de, 0xcb71e9d6, 0x82af7d9e, 0x35a9be19, 0x0cd4f0bb, 0x32df2c3b, 0x22529a42,
+    0x82fe01a5, 0x630a1479, 0x611b8e4a, 0x0d2d997f, 0x136fe8b6, 0x12f3ab7b, 0xd1cf22e6, 0x60305c5e,
+    0xbda19405, 0xeda574b0, 0x5e0df3ae, 0xcd74b49c, 0xd66c79a0, 0x753043bf, 0x2ae87feb, 0x74732f18,
+    0xacbae133, 0xd553e583, 0x7a9a7da7, 0xfbd15edb, 0xbd3247b7, 0xa4954233, 0xd6837e43, 0xb0eeb6c0,
+    0x2157b288, 0x58fd8bf9, 0xed583a0e, 0x8a2833de, 0x478a18ad, 0x3093be1f, 0xaca95b0a, 0x9327f6bb,
+    0x810cb28c, 0xc2483902, 0x5015eba0, 0xedf9b5b0, 0x46f464b1, 0xa86dd2cb, 0x04a6699a, 0xf88a2e51,
+    0xacab4475, 0xd04aef85, 0x5be724bf, 0x06b78ea1, 0xc1fc40bb, 0x56dd8e6e, 0x66b56a41, 0xe1e1a924,
+    0x15a8339f, 0x0bf0f55b, 0xc407e5c2, 0xb23e299d, 0x8135d977, 0x7710ca0d, 0xae8b18e4, 0xcf9776df,
+    0xbe0492f4, 0x45252ac2, 0xfc2e45bc, 0x20f71501, 0x6a825aff, 0x746d0833, 0x0dc21f6c, 0xac31294c,
+    0xe896049d, 0xf9414c8d, 0x151bef77, 0x189856a0, 0xc27fe6ea, 0x0d81e489, 0x6c635b16, 0x46a23b0b,
+    0xda6ac16d, 0x6f7b5204, 0x524862e7, 0x17f937ad, 0xf82ccdf3, 0xc8f29ec2, 0xdc210641, 0x64912406,
+    0x3772e913, 0x9889c92b, 0x5c251aa2, 0x41c3ca71, 0x59fbfe73, 0x202a1a98, 0xb251eff4, 0xa6a21920,
+    0x28a2631e, 0xed342b04, 0x736deb21, 0x765d2fc6, 0xee5d4270, 0xc3c41388, 0x9e0b7708, 0x86c2a279,
+    0x712d046d, 0xdb2d44cb, 0xb455f21e, 0xa142f6c6, 0x266377fa, 0x60b34d29, 0xc277ff1d, 0x45946dcd,
+    0xe50b2f19, 0x16e1f10a, 0x44cd4762, 0x25076b11, 0xaa5f350a, 0x0fe2c3fc, 0x6635e841, 0xb353eddb,
+    0xc7f1c6ed, 0xacaff31e, 0x5e7a6396, 0xa90dd8c6, 0xb6315d9b, 0xec2f08fc, 0x4c85fd66, 0x4cf5df31,
+    0x489307bf, 0x722fc81f, 0x49fbe6be, 0x62ac82b7, 0x537b2baa, 0x7f2c6aba, 0xa8d99524, 0xaa970083,
+    0xbc81d0a7, 0x7bd6be61, 0x1b4452be, 0x7e3a55c6, 0x5bad4760, 0x9c4f6dfe, 0xbbc0afe0, 0xe1f09438,
+    0xf408ea57, 0xddd9c583, 0x71ec2170, 0x5b079262, 0x07673616, 0x07ca791b, 0x9aa83dd1, 0x9e5f5faa,
+    0x14ab16bc, 0x8ce1cb9a, 0x95952906, 0x961ecb36, 0xb496e077, 0x152fbc12, 0x819bc74a, 0xa2f06171,
+    0x17120f16, 0xc09eb957, 0x24715ab9, 0x073fc8da, 0x8db729b5, 0x059c14af, 0x9c6fcfff, 0xba49a2f9,
+    0x12e16e38, 0xff781437, 0x15d24d47, 0xbe2e9ee8, 0xe386ed3c, 0xa58a2e5c, 0x0fb662b2, 0x7d17f0be,
+    0xaffb2eab, 0x049ca7a3, 0xd58f0fd2, 0xff555c13, 0x1a730b2b, 0x6f3b3616, 0x6b43e854, 0x301c3568,
+    0x41b8cdc3, 0x991ff94a, 0xa21de212, 0x0a9538d6, 0x534ff632, 0x5d64e2b5, 0x9898374c, 0xdf019dc0,
+    0x241bf681, 0x32fb8130, 0x0da0c1a4, 0xf8e193a1, 0xbbd46cc5, 0x30e2ac3d, 0xe538a2ed, 0x5fa16668,
+    0x10a8caab, 0xfd18ec5b, 0xa580093f, 0xd9d79806, 0x9f4f992e, 0xd03daf87, 0x100d3c43, 0x74aba6e8,
+    0x6392e154, 0xc0bc77b2, 0x554ce3cb, 0x91660190, 0x5f4140ac, 0xd21c3fdd, 0xe900ac5b, 0x48c64bb5,
+    0x11a5ccf5, 0xdefdd7cf, 0x94a970fc, 0x3bac497f, 0xc7cf22dc, 0x638c4898, 0x2d7ed20f, 0x8eb5cb16,
+    0xa112e7a1, 0x7d5b1ffe, 0xfe6cbeb4, 0xd4f2c916, 0x04ab20f7, 0xe6684ef3, 0x2c4743a7, 0x29ad7dab,
+    0x7e80ceff, 0xe10d2e9d, 0xb0e300aa, 0xbcbec4f3, 0x531f4560, 0x9836f303, 0xe2d9f4e8, 0x53ad65ae,
+    0x917a677b, 0x8a254c4b, 0x5ca4f284, 0xdfb331e2, 0x618ad503, 0x184f488e, 0x3271abbc, 0x610d1a6f,
+    0xb3539794, 0xb7b6072e, 0x564ffb54, 0x74e0d5c2, 0x7cf41d7f, 0xe70c4108, 0x064f5088, 0x2b76b0cc,
+    0xd460af0e, 0x0595e38e, 0x93e4d06a, 0x9d99aec1, 0x509e572f, 0x9d4e5db8, 0x7fb49d02, 0xb99886a6,
+    0x202c6404, 0xcf6f7733, 0x2cd7b03a, 0x61f4b5f2, 0xb1e6c304, 0x3ccbb15e, 0xf1917a2e, 0xadfdbdcd,
+    0xa59d523a, 0xefcd46c3, 0xd592b230, 0x05ee4e71, 0xa0b78587, 0x61c6ccb2, 0x5d502eb9, 0xc440b2ea,
+    0x59b2a978, 0x25f5ecb2, 0xa401935e, 0xa1146444, 0xad0b414f, 0xed7e0a46, 0x0977dda6, 0x9cbb1dff,
+    0xa041983f, 0x3a425a3b, 0x4d429cc8, 0xdf70f8d1, 0xb0fad192, 0x5263e66d, 0xd9933e7e, 0x0099e590,
+    0x1504ecfa, 0x98e6c1a7, 0x68a2f65d, 0x9259e4ed, 0x76a08f89, 0x50d6d540, 0x7c9f5710, 0x9cbded6f,
+    0x7d81126d, 0xf9cb5821, 0x65495ff9, 0x14a7dc2e, 0xf55e4f5a, 0xa137af9b, 0x45a976f3, 0x28242e1a,
+    0x4f8f2849, 0xcda097e7, 0x461fe08c, 0xc7513bfa, 0x64275f1f, 0x877151f8, 0xc94bcf77, 0xcf924f1a,
+    0xe03b7b8b, 0xa33861f7, 0xfd17fb3d, 0x56cf9d7b, 0x4737b223, 0xda52a082, 0xf2aa9651, 0x52d1e2ad,
+    0x62a032af, 0x4c394659, 0xcb4e09de, 0xefe6fcd7, 0x91296959, 0xe84be65b, 0x274afab5, 0xacc1b7fb,
+    0xe0c4f6bd, 0x91710eb9, 0x752624a3, 0xbee18fea, 0x322c8b5e, 0x77e0db16, 0x8a8a0079, 0x843d596a,
+    0xebffb961, 0x580a7287, 0x5677c5c8, 0x7e21a70d, 0xd507ec50, 0x7e82e6b3, 0x8425a202, 0xdecc0ee0,
+    0xb2cd8db1, 0x43b1cce8, 0x90517631, 0x2a6f8a10, 0xf2ed1ea6, 0xad9c06e0, 0x76d2dacc, 0x97b77882,
+    0x1b2c3dfe, 0xc4ca8786, 0x1f561b45, 0x58fdbfce, 0x76b49eb6, 0x38e340d4, 0x52da19b1, 0x7bbfd000,
+    0x98cdfceb, 0xe085a88f, 0x9b692244, 0x178df636, 0x9bcda498, 0xbdf19bd1, 0x3856f6b4, 0xcbc6b33c,
+    0x6c66f405, 0x317770ff, 0xbac3e173, 0x89780501, 0x03369c36, 0xa146c71f, 0xebf81160, 0x06e31886,
+    0x7d36f7c4, 0x448ab416, 0x239f0eea, 0x98739d65, 0x70c0e8ff, 0x388723bd, 0x97acfdba, 0x66ac7bae,
+    0x96e3e4ef, 0x52c79465, 0x5bca1e1f, 0xe55fc7bf, 0xfdd739c6, 0xea16df83, 0xaf0e5e1e, 0x5f02de92,
+    0x5488c9b6, 0x5ae83ab8, 0x1106de60, 0x6625951d, 0x516618c3, 0xf943eb6d, 0x18f2aa5a, 0x7f9c57a0,
+    0x4ca98366, 0xb5620330, 0x5cc8ba9d, 0xec880f4a, 0xeb9f346b, 0xb0eda092, 0x3c6353af, 0x668d5f1b,
+    0x0ecf5665, 0x8f363926, 0x780d9ed7, 0xc0d48953, 0xd1375bd3, 0x9b447ddc, 0xd63a28ee, 0xb382dc6c,
+    0x00000000,
+    0x3f7a7753, 0x16741994, 0xb2020b9e, 0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af,
+    0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000325925756213517\
+                         77380295131014550050576823494298654980010178247189670100796213387298934358016 */
+  { 0x00000000,
+    0xae5521a0, 0xf5050cd2, 0x6ad7c5d9, 0x5a13c20a, 0x0ef98c9c, 0x7bca8622, 0x07f377d3, 0xb583f02d,
+    0xae8c043e, 0x7a07cd38, 0xab1692c8, 0x4d33cac9, 0xbbda3b69, 0xcc6e3535, 0xcee8d26f, 0x8da48dde,
+    0xba32f0b0, 0xc68734db, 0x44cfe041, 0xea7f9492, 0x9b78df94, 0x3019c423, 0xe48a1bb8, 0xf7e79345,
+    0x8a0f4645, 0xbfb61604, 0x041b7885, 0xf13541d2, 0xa9d18b9b, 0x3dfd2bd5, 0x7d64f3bf, 0xa520b373,
+    0x40a27b20, 0x9234d120, 0xda592471, 0xcbc18f00, 0x3fbe1c5d, 0x899390d8, 0xbc030575, 0x39729632,
+    0x23287419, 0xd4300777, 0x0cb79d62, 0x0ae7f889, 0x0c6e39cb, 0x8559f2e2, 0x16c119d8, 0x955e3020,
+    0xf6c909b5, 0x915e0853, 0xf07716a4, 0xf70e16e8, 0xd96e8447, 0x9b4a34b1, 0x1573cd31, 0x052be51a,
+    0x21937ae2, 0x819eee66, 0xe4fb748e, 0x7bbd4e79, 0x8e00ccdd, 0x706a09da, 0xfd60602d, 0xc1ceb05d,
+    0x33b145ae, 0xdecd26ef, 0xb814546b, 0xbf4249ba, 0xdb24cb70, 0x6266d1bf, 0x1a423519, 0xc94d31a0,
+    0xc9ba1a1a, 0xa352c9af, 0x62fab48e, 0xeebbf266, 0x16b98759, 0x7802585d, 0x58803597, 0xfd825500,
+    0xfe135314, 0xb93ab47f, 0x340c5ed9, 0xe0b90d01, 0xaca0fcfb, 0x52ebcf85, 0x9205a33b, 0x3979a581,
+    0x87b216e4, 0xc61b497a, 0xe466de6b, 0xeefb9916, 0x8e944c55, 0x904a8f94, 0x14f5e289, 0x9a9b8bdb,
+    0x7d87d485, 0xfa70079f, 0x2f0fd952, 0xcca51f2f, 0xc5ee083d, 0x7d18b3d1, 0x4bd031c6, 0xf7b406eb,
+    0xd7d21e89, 0xca6ee0f0, 0x046a6723, 0x33c1501f, 0xdc110d7b, 0x1a53d97a, 0xdf1ff351, 0x23d152f0,
+    0x39a21602, 0x098fbb24, 0x02ce6047, 0x754f4823, 0x80f824dc, 0x9d63e4cf, 0x777f1e78, 0x10d981b8,
+    0x232e0d93, 0xb5fa62bf, 0xe48de3e0, 0x1539d702, 0xa02ef75e, 0x27a1195d, 0xa92ba3e1, 0xded966d2,
+    0xa109620d, 0x579deebc, 0xbb56777d, 0x460df2d5, 0xe91d0cd8, 0xc11a50f0, 0x508284fa, 0xea86562e,
+    0x78d90acd, 0xbf30a863, 0x980fd386, 0x990ddd70, 0xd0d59608, 0x75706ea8, 0x24a50f00, 0xc6cb99ce,
+    0x063b36f8, 0x505c5baf, 0x0030fa57, 0x9b0ac008, 0x2d6abf65, 0xb712da11, 0xa1d67b13, 0x8d05ef18,
+    0xd71bddae, 0x94ef4420, 0xc94c8565, 0x2481b333, 0xef626ef3, 0x3902498e, 0xfbb397b5, 0x3b495386,
+    0x89ca4b10, 0x24b732ed, 0x9c0db00c, 0x590dd3a2, 0xf2bdf2e1, 0xea39e98b, 0x297268d1, 0x73746d07,
+    0xd9e33798, 0x5afd96b2, 0xb440744c, 0x7a1f84a2, 0xeb21d79d, 0xc85f9e21, 0xd003bc82, 0x169ee5ab,
+    0x40f032e6, 0xa1e38a72, 0xee187846, 0x01b6b041, 0x58cb13a9, 0xd20b2a60, 0x35575008, 0xf69cc1cb,
+    0xfd517524, 0x9b6d4d16, 0x76585583, 0xfe4a8c8b, 0x6cb1ad1e, 0xe23dbe4e, 0xe27567d0, 0x193de5ba,
+    0xe1fe13d8, 0x9d39718f, 0x4e332e9a, 0xf5718691, 0x12bfa53e, 0x0be5b54d, 0x02024b28, 0xadd4533a,
+    0xbda25539, 0xa5cb612f, 0x9184b39c, 0x938ac368, 0x4cbd112a, 0xb861d5b5, 0x883febff, 0xab5a0cb3,
+    0x4b68969f, 0x81c43252, 0x11fb7b4b, 0x28f942ba, 0x98215d66, 0x6f3e6dbe, 0x9e8cf8f0, 0x4df57835,
+    0x24947c8f, 0xd9134c68, 0x89ab37b1, 0x277e29da, 0x68901d25, 0x2e1ec76b, 0x53a19c83, 0x7ca8404e,
+    0x9a925fd4, 0x120406e7, 0x09209b97, 0x81be868d, 0x199574bd, 0x5a30d3ec, 0x67bf1d97, 0xb5b2aa62,
+    0x041c1134, 0x3b45cff2, 0x35b85ede, 0x889e9f7d, 0x271a1928, 0x158c7cbc, 0x0b56fea3, 0xb7313734,
+    0x2ae4b6d9, 0xa2071592, 0x84720246, 0x67061e99, 0xf7b27e6f, 0x17c602f9, 0xf217eff9, 0x5fb24aa1,
+    0xeaf97398, 0x9b645584, 0x114b3a79, 0xdcc94226, 0x057b255b, 0x512af4e5, 0x60076182, 0x53f85b63,
+    0x5375167c, 0x51156bbf, 0x04e11196, 0xa3a9a758, 0xb69abc66, 0xbf9b17ff, 0x7b4ecbc4, 0xd5566da2,
+    0x3efe81a3, 0x376aa559, 0x2e56938e, 0xeba55965, 0xbbb4466d, 0x1a281f57, 0x52bdcaa8, 0x867e6048,
+    0x747c58e3, 0xb97045c8, 0x77950c27, 0xdbde3301, 0x75f87d34, 0xa1567b83, 0xc8258983, 0x4caba23f,
+    0x24e0cfc9, 0x6c06614e, 0xc7d016ba, 0xb6edc892, 0xb0446c3e, 0x807737ea, 0x7d74ad4a, 0x22e60984,
+    0x310e2c00, 0x8bef843b, 0xa214971f, 0xace78caf, 0x0fdcde3b, 0xf3371c75, 0x4cb44d20, 0x8eda5693,
+    0x599e66c8, 0x209e8a59, 0xe918027c, 0x95fb5cac, 0x679f440e, 0x700c68c0, 0xf53f7c01, 0x30e2f997,
+    0xe0beaadc, 0xa559f94b, 0x247951b5, 0xd08581a1, 0x790b01ee, 0x49d8fb18, 0xe49adb1e, 0x16616ec0,
+    0x16070496, 0x473fe8c0, 0x2855ac1d, 0x68660fe1, 0x01150a39, 0xb35bb51c, 0x42393ee9, 0x2c139c07,
+    0x98590748, 0x54daaebf, 0xdb9bb437, 0x34b36dad, 0xeb400ca3, 0x9276b759, 0x7b1c5d52, 0x9e48ab17,
+    0x13085f81, 0x6fe8f3e8, 0x8171c0d4, 0x68f02604, 0x75ddc77d, 0x92f0ef2d, 0xe9720f21, 0x9f950e6b,
+    0xbce6240b, 0x104ee78b, 0x63ea6c85, 0x9403b08c, 0xc92a28bf, 0xb09f0700, 0x3cee470d, 0xc0693228,
+    0x0c9dfbab, 0x7e550835, 0x295156c6, 0xe84dde19, 0x9541a2c9, 0xbcf00cfa, 0x3cf8dc34, 0x6a2db5db,
+    0x80647957, 0xd0709046, 0x9d24152a, 0x34f0be7a, 0xc01a5ede, 0x0ce3b886, 0xe859466a, 0x509753e3,
+    0x2f924848, 0x891dd4ed, 0x0d07111e, 0x364e2a16, 0x7f6d8dd1, 0x3e3ebb52, 0xdb7d412f, 0x3f75bd14,
+    0xce728351, 0x99abd259, 0x4738d3f4, 0xce27fbd1, 0x718d8e0d, 0x41b6c5a8, 0x2a5f24ac, 0x850cc6d0,
+    0x0e0ce291, 0x02cd9046, 0x86c29309, 0x465817a8, 0x1313087d, 0xdcafa84d, 0x4972872d, 0x55751e00,
+    0xfbf906fd, 0x3b70f755, 0xbd0fdc9c, 0x832fa304, 0xf396d0b8, 0xc14e95dc, 0xe5b21db5, 0xafb6ecd7,
+    0x2d51a03b, 0xf971a4c8, 0x123733db, 0x170c69da, 0x073b7693, 0x8e058f74, 0xe55a34c9, 0xeaac786a,
+    0xb9b76061, 0xf870e2ea, 0xb58be8da, 0x03d0cc35, 0x455e2d33, 0x2e0050cc, 0x40b76e91, 0x298bd9f0,
+    0x965fbccd, 0x4ff50dc1, 0x88c1fbfb, 0x9791db8a, 0x13ec7eee, 0x9b430bf4, 0x82c6ce4e, 0x32c2546e,
+    0x1426e2a3, 0xedb53290, 0x2989b940, 0xbff8c3c8, 0x6fd2d12f, 0xc5dad431, 0x522af82c, 0x5205f2f4,
+    0x1ece752b, 0xdc21bea6, 0x5ba4c183, 0x6843adf7, 0xec110bdc, 0xd2c9dd33, 0xde1eb4df, 0xfa6d4947,
+    0x4b76df37, 0x33811dc0, 0x2fe45c83, 0x53c29485, 0x6183ed17, 0xbcd95581, 0xb174fbee, 0x4360cd3f,
+    0xe7be547d, 0xc347adf9, 0x1499cce8, 0x28525645, 0xc0541494, 0x7bdb8ffc, 0xbec967d8, 0x3ea1b7c4,
+    0x295573e4, 0xd1fe71bf, 0x914c1e3f, 0x66c81694, 0xb15e8cad, 0xc5b2a741, 0x8d168bc0, 0xfd0867c3,
+    0xd5f1842f, 0x069584e3, 0xecb5890a, 0xaa4f1e00, 0x9f262167, 0x84d9f46e, 0x4929c9d4, 0xb09ad115,
+    0xb73f1ded, 0xe8cbe67f, 0x2169bd2b, 0x61f47ff2, 0xb4c126c9, 0x8b29714f, 0x4df334a7, 0xa81f88eb,
+    0xa3e738d7, 0xf7775e33, 0xf5eb67cb, 0x509a4871, 0x2db3d0c5, 0xf2e8bb82, 0xab15ec4c, 0x508bf56d,
+    0x3a8b1c2d, 0x70569930, 0x3b2db88c, 0x9201fdab, 0xefb8465e, 0xf54084df, 0xb7657eaa, 0xc29918c9,
+    0x291e0d65, 0x03e7fb56, 0x11fb569c, 0x829b24db, 0x0d2024cd, 0xa91e8f89, 0xa9a53c5d, 0x53675723,
+    0x7721be2e, 0x548afeb6, 0x2b1190f7, 0x16ea02a3, 0x41cf738e, 0xa58e55d9, 0x6fec50b6, 0xe3b73a4e,
+    0x23f0b10f, 0x8fc6ca82, 0xf71298a9, 0xc21b0883, 0x28ddd285, 0x219f2a1e, 0x1f01ddf2, 0xfc45e629,
+    0xaa89cddb, 0x7a48f217, 0xd453c2aa, 0x2c5fef5c, 0xfe076a7c, 0xf5356551, 0xe989666c, 0xf9e45acf,
+    0x9309ced0, 0x4b604c1d, 0x1b053c09, 0x98bea337, 0x75912f84, 0x25b21962, 0xf436a5f6, 0x3ef363d1,
+    0xf1c0b096, 0x7c669677, 0xc7a9ae73, 0xa115d706, 0x8fd353f5, 0xc87682b3, 0x23531b25, 0x1a1f8c21,
+    0x0a703145, 0xcb9b8069, 0x3ff7d3ad, 0x8a2b7b19, 0x18c91113, 0x6750706e, 0x83220216, 0x6b756e77,
+    0xe27889bf, 0xbfa3a81f, 0x2f114f1d, 0x5105107c, 0x3937103e, 0x22d3c8fd, 0xa7bf192b, 0xbd79cc71,
+    0x086eee50, 0x16511e5b, 0x0acca6d3, 0xab02efca, 0x0890c5a9, 0xf87c3568, 0xa3627d95, 0x1002f83c,
+    0x833179c3, 0xbd78eb29, 0xb795b13e, 0x0725a481, 0x8c6ff3a5, 0x4dd8d7e1, 0x4280abb3, 0xa1135345,
+    0x276ea4cd, 0x722db6c2, 0x89b21697, 0x3167733e, 0xf603da42, 0x5d657e10, 0xc77d3227, 0xd0de294a,
+    0x1a69092f, 0xa89517a6, 0xbb9edca7, 0x2e1d68ef, 0xc3389dc2, 0x56977029, 0x525e477e, 0xa7f35fd1,
+    0x1f1716b2, 0x0e1aa127, 0xe87b6d99, 0xb7f7d5b6, 0x1d28db70, 0x70bcacb4, 0xbc17539b, 0x984155c2,
+    0x4571087e, 0x269352dc, 0xfd3062db, 0x72aefe26, 0x94f57bf2, 0x3464b53a, 0xb45e93d6, 0x268111fe,
+    0xa513f03c, 0x5264c197, 0x12c1f0e8, 0x53bf893e, 0xed345a28, 0x040b73c2, 0x61715d0c, 0xcb761811,
+    0x30da1d54, 0x7d9f5e44, 0x0579b2d2, 0xd4b32453, 0x523e0a91, 0x7318764d, 0x3409d964, 0x228e4b92,
+    0x53db3502, 0x814b3eaf, 0x63d70cda, 0xc53d8f04, 0xc5ffa387, 0xb89ea93e, 0x92bb53f0, 0x968bfc66,
+    0x7a11be07, 0x5c32ae73, 0x35d1c0a0, 0xbe76b75f, 0xed8db2b3, 0x6b04e488, 0xc4f3d9d8, 0x8433453e,
+    0x9dbb211c, 0xd6f1f5e1, 0xc8cfe435, 0x17e4fcdb, 0x56b89c56, 0xb9ae317f, 0xbaab68b6, 0x90c749fb,
+    0x2719d397, 0x63ead6fb, 0xd32128eb, 0x8b04f352, 0x3ca86d32, 0x51c38037, 0x3bff361e, 0xb8a7d0f8,
+    0x14f77883, 0xf4d94b30, 0x16bc093a, 0x5fde96fa, 0xb58cac5d, 0x3f4dc6b7, 0x220937c4, 0x1c659981,
+    0x773fe1b0, 0x10a71b42, 0xde6c0f15, 0xc643577d, 0x8c2bd45e, 0x7bff3269, 0xc9489004, 0x4865d550,
+    0x19ff01af, 0xb80b2c7e, 0xc1ee4bb5, 0xa528447a, 0xf3beb58f, 0x1bfb498a, 0x5d8f62ce, 0xadca846c,
+    0x38662a17, 0x88b9ff42, 0x9d0fde0b, 0xebbd55d1, 0xee309063, 0x320d54c1, 0x75a43ead, 0x326a851a,
+    0x2498cff9, 0x73e33187, 0x3d13945b, 0x3baf6781, 0x189597b8, 0xf71870f2, 0x2ccb7cc2, 0xdce4cab0,
+    0x7005f973, 0xa418df30, 0x67258c1e, 0xf0c337c9, 0x4ab16669, 0x2fb6bb4f, 0x1634440a, 0xdc975202,
+    0x794adb32, 0xfc751d10, 0xb64cfbc8, 0x52097d90, 0xa1c40955, 0xc3d75e86, 0x88f0caa2, 0xa46097e5,
+    0x2191975b, 0x80bd1bf4, 0xc7d2a556, 0x1bd6361f, 0x4ed68275, 0x04b3c408, 0x400a8c4c, 0xf52a3c45,
+    0x67a9f6fb, 0x79a3cb7c, 0x5d8ff9f9, 0x0da6a8cc, 0x3f1ca1eb, 0xf1fcf676, 0x43ba1911, 0xe8be1b1e,
+    0x59172015, 0xc4cb5513, 0x7ddfafd7, 0x1c619a88, 0xab9b3e18, 0x01e06629, 0x11ef9370, 0x2e11bf90,
+    0x532cb12d, 0xd9837f05, 0x5e419812, 0xee32aaeb, 0x32869433, 0x065fe84a, 0x8f9e67ce, 0x0f71f85c,
+    0xf6448060, 0x19412996, 0x1a45d55b, 0x6aacabc7, 0x841b9000, 0x45063a5e, 0xa793dcfc, 0xb50c8150,
+    0xaff3c344, 0x93222367, 0x6b0f1e12, 0x6062217b, 0x17e30f93, 0xf882e958, 0x7eb746d1, 0xb17d231d,
+    0x1d2eb312, 0x708fcb6d, 0x2e37a203, 0x6ddbcbe6, 0x3a97c6ae, 0x8206a5dc, 0x502b871c, 0x00b3b698,
+    0x4781fd42, 0x782b0b85, 0xc11a8ec5, 0x371bd7c4, 0xb8dde763, 0xb104907b, 0xd5eb5b31, 0xc500027a,
+    0x55221cc4, 0xa3952bd8, 0x40062615, 0x75e49508, 0xab320c28, 0xbca6d14c, 0x46f56080, 0xa713462b,
+    0x9c5099b1, 0xd30076bb, 0x0eea2ffc, 0xbf6ad267, 0x71b79fe3, 0x5414a701, 0x0cf02edd, 0xf25494b1,
+    0x32b40ce8, 0x12f9fc99, 0xdf826d7e, 0x8c4178f5, 0x5a0d60cb, 0xd3b5e6df, 0x2a30125c, 0xe407b26b,
+    0xaddfc7a3, 0xc0aaff33, 0xdcd862f8, 0xd0ed69f6, 0xf7e7ea2a, 0xef57dfc6, 0xba465842, 0x23ed494e,
+    0x22e8784d, 0x27ca2fa9, 0x3c5e746f, 0xa19866dd, 0x8b73521f, 0xa4903539, 0xcbde13a4, 0x32a9e89a,
+    0x5ffc314a, 0xa263b184, 0xbd0ccf26, 0xd37bc69a, 0x6954f24a, 0x716e8128, 0x8c9ff013, 0x8e517e58,
+    0x0452ae7d, 0x35960516, 0xe9e7718a, 0xf7d1e805, 0x5a143773, 0xee167541, 0x57f29eb6, 0x0db2dee3,
+    0x66b124d9, 0xb0048b70, 0x2d2bfed7, 0x034be8e6, 0xa9839a67, 0x137b4f75, 0x4c3356ad, 0x10721c25,
+    0x0e370d22, 0xfd7ec5aa, 0x53d81808, 0xa1c46293, 0xe8b441a1, 0x7a184648, 0x65a55ba8, 0x5dd891cb,
+    0x502287e9, 0xb7185ddf, 0x98533083, 0x7b637f72, 0x8fb60d44, 0x790c844d, 0x4ac1f1dc, 0x6f8f2997,
+    0xbbd3047e, 0x5badda77, 0xb9e7419e, 0xf9bf9e21, 0x63faa4c8, 0x5c64ccbf, 0x5774f4dd, 0xd7af96f0,
+    0x3206975c, 0x619fae5e, 0xd90e3666, 0xd03c9ae9, 0x84a66eea, 0x50a926b1, 0x7713560d, 0x7a2c779c,
+    0x9391c762, 0xddd47a5e, 0xfa527555, 0x2c71230d, 0x62bee9f0, 0x4e06e3d6, 0x3fee4776, 0x4d408c46,
+    0x35d7fb19, 0xe925342f, 0xec3c480d, 0xe394b8e7, 0x11130619, 0x01654a41, 0xce552e18, 0xc7977e93,
+    0x80278f48, 0xa9c6b851, 0x346748ed, 0x654bee10, 0x5d658445, 0xdc370e0c, 0x39d4b52d, 0x105c3d83,
+    0xf5732ea3, 0x72714648, 0x16fe74fc, 0x3e2fbc34, 0xa429e696, 0x16e959b4, 0x702b1454, 0xe2fa50e1,
+    0xb823f365, 0xa40eb78b, 0xbd4157e7, 0xb6d03b43, 0x948d1d02, 0xcbca747f, 0x2f2f79f6, 0xdd05ee11,
+    0x7fdc5c97, 0x581859bc, 0x6043b6f4, 0x66696b92, 0x2998d933, 0x78c882d4, 0x92eb7e83, 0x18e698b6,
+    0x235b46a2, 0xfd003b0c, 0xeb2403fd, 0x7303fd75, 0x07f81c10, 0xb78ca7a3, 0x9dd6c39c, 0x2896ebb6,
+    0x976ddb1e, 0x460ec814, 0xeaef485e, 0xf6109e1b, 0x31aec3e8, 0x380040b6, 0xc47f362a, 0x2f67a823,
+    0xecb41b40, 0x750daf60, 0xc00b4655, 0x6aed2432, 0x25ef9fce, 0x5d512575, 0x732257dd, 0x484fd5de,
+    0x59c94275, 0x3e9b9281, 0x66f0ba5a, 0x8187dfd7, 0x7a56d7d4, 0x483ddd37, 0xc34c309e, 0x7cda1885,
+    0x66e4564f, 0x8a297808, 0x5f0f298c, 0x7f388bc8, 0xf0bbccce, 0x74b7ca33, 0x14100703, 0x9117843e,
+    0x972b3a8c, 0x13abc33c, 0xd542b402, 0xd1c6660f, 0x090378e6, 0x149b4d6f, 0xa95676e8, 0xe70279c2,
+    0x0eefe8ef, 0x50e5ccae, 0xb5ea5b48, 0x877e8ce5, 0x6d38cfd4, 0xeed7c2e9, 0xd1022db4, 0x8601996b,
+    0x414184e7, 0x177259bb, 0x084bc7e1, 0x3b96d402, 0x01523263, 0xe7774e38, 0x81b62074, 0xf41c8a06,
+    0x2759d6dd, 0x98cffe05, 0xf608b1d5, 0xd57a008b, 0xb4b74a21, 0x49b62e40, 0xc04884ca, 0x4ae3adfa,
+    0xfe308274, 0x3f252fa2, 0xd9e9c699, 0x72914c36, 0xaaf175c6, 0x5b043cdc, 0x12d32911, 0xb067f1c3,
+    0x49712204, 0xacc6840a, 0xd53c5eb6, 0xcfdebc91, 0xae552992, 0xfee75533, 0x0c9ae7d9, 0xaeb520ca,
+    0x8a0c736f, 0x6aae16df, 0x5bcb3611, 0xea391b08, 0xc1764a5e, 0x0ed07652, 0xe3b47c41, 0x979544cf,
+    0x00000000,
+    0x1fbd3ba9, 0x0b3a0cca, 0x590105cf, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257,
+    0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000162962878106758\
+                         88690147565507275025288411747149327490005089123594835050398106693649467179008 */
+  { 0x00000000,
+    0x23549319, 0x67033eab, 0x6e296682, 0xe3c19042, 0x97d4bc04, 0xffdbe6b2, 0x744f8c33, 0xa5981371,
+    0xa6afefa9, 0x18afb603, 0x32503db8, 0x91cc10a4, 0x774c37ef, 0x2c8d0e48, 0x95702456, 0x2cbae0ad,
+    0xea2cd510, 0x385532a7, 0xc1647e30, 0x17b3f56d, 0xc08965bb, 0x7ae672df, 0xcdcce3a6, 0x86df6776,
+    0x213741ce, 0x1b93cd0f, 0xaa99bfef, 0xde268dbf, 0xf85140b6, 0x97cd03a6, 0xf1be59f1, 0x10d008dc,
+    0xc65abf1c, 0x04bff97e, 0x4ba242b5, 0x4373ad0b, 0x75134d30, 0x00aa7759, 0x081bd60b, 0x514260a6,
+    0xbeb7002e, 0x61420862, 0x0f6ff0ac, 0xf89d9aa4, 0x0d91d10b, 0x249811ac, 0x41dcb1bc, 0x7c9761ba,
+    0xde23e3b7, 0x620b0486, 0xedc36e2a, 0xee3f6ba5, 0x4496f28e, 0x873734dd, 0xe91a9c94, 0xe13ec102,
+    0x363986e4, 0x3927f27f, 0x65cb447e, 0x7b27bef5, 0xb597097c, 0xd068371d, 0x47e72a13, 0x4d650c62,
+    0xa917a4f3, 0x762ff08a, 0x7ed03174, 0x56dc224f, 0xc73d80e7, 0x7dd49a05, 0xee02a137, 0x05fa4d53,
+    0x49630595, 0x7c51a099, 0xed8ea5ed, 0x67ed28d4, 0xc78f022b, 0x090c3509, 0x55d9d820, 0x070a08ff,
+    0x465bb220, 0xd05c4577, 0x1b1b8944, 0x84a48c07, 0xfb4f4c65, 0xe5901ef5, 0xf150ca13, 0x1cddbf47,
+    0x30d95e1b, 0xb501b21b, 0x3449eff0, 0x28ba0ae9, 0x91133bdf, 0x9d4c7266, 0xfead36c6, 0x223ff183,
+    0x45d5031e, 0xfee76113, 0x54dd9b94, 0x23008300, 0x43ca202d, 0xfca8ab5e, 0x604c1b1a, 0x8987cae1,
+    0x6e73d930, 0xfd372edc, 0x407a53e2, 0xb2e1defe, 0xf3e0e7f9, 0x56983f59, 0xfce22047, 0x167f1c4e,
+    0x8fd357b4, 0xe6d24e8a, 0x77a6273d, 0x6c39c320, 0xf99a8ade, 0x6567f75d, 0xce1b25d3, 0xa76a2fe0,
+    0x374a5ed6, 0x31f20d2c, 0x6688c893, 0x7520e4c5, 0xc3455728, 0x8b28a42b, 0xf682d6e5, 0x98f3c9b4,
+    0xe305d8b6, 0xd79b57f5, 0x4bbe82a1, 0x26afa98a, 0xbc276d85, 0x010a1156, 0x0dfeed46, 0x9087b9c1,
+    0x7fa6e991, 0x9d314d46, 0xb829f540, 0xb84e527e, 0x7c909342, 0x63cafe0b, 0x93fa1d2d, 0xba5d6045,
+    0xc3271b08, 0x99ae0685, 0xbb377390, 0x51ca005e, 0x3e378e0a, 0x5e9ae23b, 0x3bcce1c6, 0xaeec4980,
+    0x35ec254d, 0x6622a05c, 0x07d312ec, 0x858bba27, 0xfa4fb10d, 0x6299eaac, 0x4640a48b, 0x828e4d17,
+    0x64602ed3, 0xa5b1dc50, 0xcb5fe50d, 0x40e30107, 0xd5e6e303, 0x7ca6a8a4, 0x3cd734d3, 0xfa63cf92,
+    0x3f6b344f, 0xea55bcb0, 0xb4d9d524, 0x0f5b04d8, 0x8ab1f3d3, 0x136ba636, 0x9029df5b, 0xb76bbc0c,
+    0x35476685, 0x087751c2, 0xfd9bdd3f, 0x15e96190, 0xb3a4696a, 0x0477418a, 0xd4d2a32f, 0xb8577ef9,
+    0x01e47987, 0x107bd57a, 0x217050de, 0xa8b47cff, 0xca2d648b, 0x51acda6f, 0x3450c5a8, 0x06fac010,
+    0xeeca80fc, 0x16699172, 0x93fa8bc0, 0x934a0aad, 0xc957e2db, 0xe7f89d66, 0x4c47753d, 0x9065b583,
+    0x49af4271, 0x221c2191, 0xa5f2870e, 0x7e62d0c7, 0x43a9b1c0, 0x5dee30f6, 0xa3adc08c, 0x9b21b90b,
+    0x33ed84d4, 0x9c551f87, 0x662f3c4e, 0xf8ad8bc3, 0x893511b7, 0x7522613f, 0x60af273b, 0x9106d23b,
+    0xdd03b7d1, 0x9f087940, 0x2c2f0b19, 0x0b210782, 0x25921b5e, 0x99563add, 0x87e4b660, 0x76a9fd5d,
+    0x89f61a0d, 0xb9edaa8b, 0xdf057c9e, 0x07b90b83, 0xa0309df3, 0x7358e166, 0x30496005, 0x668e07bf,
+    0x57ed3557, 0x748c295b, 0x1fc45c0f, 0xbb634f2e, 0x5dc872cf, 0x3a726b05, 0xb7b2eb3b, 0x56a846f0,
+    0x27ccfb9c, 0x84cf46aa, 0xda889565, 0x338aabf4, 0xf0eaef20, 0xb8a2d2b0, 0xde010822, 0x35799c55,
+    0xaf92e6cb, 0x7b7ce075, 0x6006d3cc, 0xc30c1b26, 0x4f3bc74b, 0xe8bbbdec, 0x750b4029, 0x8d4e0975,
+    0x9a364d0a, 0x641c706e, 0x94e0bbe0, 0x38bfed01, 0xed96bb41, 0x80d516b2, 0x15c03764, 0x93d6f8e2,
+    0x499e1c4d, 0x2b985adc, 0xa8fa31dc, 0x7a03a125, 0xb45490e8, 0x1b200633, 0x54ac1bef, 0x4275650e,
+    0x8dcf71e2, 0xce993edf, 0x4ebed178, 0xad4093f6, 0x245a14e6, 0xae4252fe, 0x11d0cfe6, 0x462ff0c5,
+    0xc916aab1, 0x66cbfeb2, 0xe88f9fbc, 0x354a93bb, 0xf7a70cbd, 0x602460fb, 0xf1600c7f, 0xcc9ec325,
+    0x46fd4ce5, 0xa821561c, 0x4d5db83d, 0xc3270c16, 0xdfe4cc2a, 0x70cd7c8f, 0x2f0954f2, 0xc571566e,
+    0xdad7e8d1, 0x70ef65b3, 0x2566dc16, 0x389a1d0a, 0x2827c837, 0x2504c620, 0x2d1965ef, 0x4958f2a5,
+    0x4131a0fa, 0x539a9175, 0x83f2c56d, 0xda2e39c4, 0xbe962504, 0xefaaf22e, 0xc56f8c4b, 0x176ce926,
+    0x960d4129, 0x29813d24, 0x1af65ef5, 0xa2d42caa, 0xa4ec37d1, 0xab500208, 0x1d650e40, 0x6fa8fdbf,
+    0x5266f0d1, 0x6dab0ae9, 0x90807d76, 0xaca2ffff, 0x4f362307, 0xac21d020, 0x0f6611cc, 0x1c0d2aae,
+    0xf9749b14, 0x13751614, 0xd57710ca, 0x8ececd85, 0xbcd754b8, 0x9c856819, 0x943810bf, 0x0f9f7043,
+    0x3619cb4e, 0xdae9330a, 0x08181724, 0x53e09923, 0x66f81828, 0x9ea86d5e, 0xfcf1cee2, 0x718a47f9,
+    0xb0cd4d4a, 0x2e734303, 0x7c882385, 0x3d29cd7d, 0xf2a40589, 0x5106b4e1, 0x6f62fb00, 0xd6dbcd29,
+    0x7145a26e, 0x3cbc2f13, 0xf1ab7c11, 0x62a156da, 0xdee0ddab, 0x43dac5dd, 0xfa636950, 0x9d0cbb02,
+    0xa25411f7, 0xfcb28b03, 0xb1896cb2, 0xfb6cbd04, 0x905d916c, 0xd46320d1, 0x80d9ab35, 0xfde68a8c,
+    0x0cb7cc50, 0x11e8fc52, 0xa6de7e60, 0x32f5a092, 0x90edd73f, 0x55b8fa16, 0x082f87fa, 0x7ee0488e,
+    0x380465ff, 0xc0892c28, 0x678395d6, 0x15caec00, 0x4dad0ee3, 0x00b259c1, 0x12aef4d3, 0xcd252ef4,
+    0x43ff0774, 0x7e016cfa, 0xb56659d0, 0xfb20b53a, 0x4e15c118, 0x99598432, 0x11a104e6, 0x16f6260c,
+    0xa4b2fe80, 0x98a176ed, 0x48f1eb6c, 0x8c9eedf0, 0x9451ae5e, 0x9ef6991b, 0x910ca838, 0x0d305170,
+    0x5640fae7, 0xd79870e2, 0x56c49e7e, 0x1f59c159, 0x91292e86, 0x6fa8b911, 0xce0d8530, 0x467cfb5e,
+    0x0afe6dc8, 0x488f8dc9, 0xaaf46d03, 0xbe7e7f94, 0x20491813, 0xea52d6b1, 0x014a0a11, 0x4d6a3080,
+    0xfc47e22a, 0x7417717d, 0x722b1e9d, 0x4fe9c18e, 0x2f92c958, 0xe10c3302, 0xc0a27bcf, 0xb4cfa265,
+    0xdc580b4f, 0x2636c15f, 0x778f42ef, 0x7614cffb, 0x27792efc, 0xe682e0b7, 0x678caa65, 0x111cff50,
+    0xa3650a6d, 0xc50ef89a, 0x94942c1b, 0xe77c54f6, 0x2366613d, 0xe9ad4507, 0xaa21f2eb, 0x11ee0bac,
+    0x4aca209d, 0xdc607baa, 0x6039c8b8, 0x5ea87b02, 0xb25a7218, 0x85bb9574, 0x323ddec8, 0x14e9430d,
+    0xc67a33fb, 0x5af1833f, 0xdf46d95f, 0x5aec8cff, 0xf5c5b0e1, 0x8659bd13, 0x000e9b13, 0xb9e8cfac,
+    0x4bba60ae, 0x6d1edfba, 0xd6c4900f, 0x4216da67, 0xb5b78033, 0xa87aefcd, 0xfc4edcd4, 0x06ea1052,
+    0x8e0dcc55, 0xd5057bfa, 0x9649e221, 0x7838bc2f, 0xbc6aacee, 0x6daf9d42, 0xa41cf5f0, 0xf9c47093,
+    0xb0d2950e, 0x0a153f0d, 0x81bb2fa8, 0xd59fab5e, 0x0307ed15, 0xf20064ef, 0x23c8f847, 0x5102274e,
+    0x53f62972, 0x96dd915a, 0x84461cac, 0xedbf2e2f, 0xdf18d842, 0xe4b2cf10, 0x26b0fcf8, 0x7c2fc4b9,
+    0xf90a2d9e, 0x6a552933, 0x2ad7f808, 0x380d23fa, 0xe9311bb0, 0x8b801abe, 0xaac356c8, 0xaee84fae,
+    0x6a7a7286, 0x7e8111ab, 0x728fcf30, 0x30f78e45, 0x399d59ca, 0x7af7f3ab, 0xf9cf774b, 0xaaf8b663,
+    0xb1762335, 0x2a4ccbaf, 0xe23344fb, 0x25a75243, 0xcb0e39d9, 0x0134a04e, 0x828bbca1, 0x281bc75d,
+    0x46fb937c, 0x66e1fb4d, 0x7ec8b512, 0x6a2eb3e8, 0xa117933d, 0xbb578ce6, 0xeec2b429, 0x56e70c2e,
+    0x25bdfd63, 0xba8f4765, 0xbab28a63, 0xf260384f, 0xaed65603, 0xa7bc973e, 0x558b0ad1, 0xb5a4d2b1,
+    0x415d3902, 0x9f6fcd62, 0xd5d70150, 0xfd11e11b, 0x94b38ebd, 0xac76f710, 0xa99a6e17, 0x26cd592b,
+    0xd8d9aaa7, 0x5258fd56, 0xd36b6978, 0x726dc966, 0x0a779482, 0x349fcbcd, 0xe2628a83, 0x599f496a,
+    0x39ec9255, 0xcf4ec659, 0x3a0a1cdf, 0xd2aedec7, 0xec07bcbe, 0xab15bd57, 0xa5d0b446, 0x1c83c2ef,
+    0x5eee519a, 0x99ed1509, 0x296a452f, 0x47bc73b6, 0x5d6db0a2, 0x7a79291f, 0x51492fa5, 0x4986ad66,
+    0x7547c524, 0x928f296f, 0xba0b7bcf, 0x3b5ee35f, 0x62a6ba87, 0xdd907b20, 0xff2866bf, 0x9d3a72e2,
+    0x9ef1108f, 0x25a219b7, 0xab1f00b1, 0x2f4be95e, 0xb1abc3b8, 0xef0a8c85, 0x29b03fb1, 0xc6418f5c,
+    0x68c39ca3, 0x54957a1e, 0x5e9ec63d, 0x82ed8d6a, 0x412c98de, 0x9c5b9d25, 0x00997805, 0x50a3ce16,
+    0x9dc8451a, 0xb13c4ec7, 0x095857fa, 0x73c001a5, 0x6141c5dc, 0x1b12dc57, 0x49ed13c9, 0xc19e6328,
+    0x5f70760c, 0xb74cda77, 0x4fe8a4a2, 0xd7de6ca2, 0xa941798a, 0x91b3ba80, 0x5a314f39, 0x6d136ec8,
+    0x911f44cb, 0xfdc94f79, 0x4d4c661e, 0x812cd8b6, 0xa53bf1b8, 0xc43c800d, 0x562f35b4, 0xaa397d46,
+    0xb11ffe09, 0x3c80f63f, 0xbfd37f81, 0x2fb6a520, 0x9b3edafd, 0x6e2fc422, 0x88d1295f, 0xf00dedcc,
+    0x7ebe1ecb, 0x42331ff2, 0x2d1dfe2e, 0xd004a2d8, 0xd141029f, 0x973ae631, 0x06009385, 0x296c852f,
+    0xc01d541e, 0x419c6c8d, 0xcc7aac4b, 0x935e0380, 0x72d261e5, 0x92fc449e, 0x4f8e7fdf, 0x0a72e434,
+    0xd98ff736, 0x47c68301, 0x09b0027d, 0xca69df6c, 0xc240dfd2, 0x8a763b6f, 0x5ba99e24, 0xd5748746,
+    0xf125ec70, 0xc882c595, 0xbe9b7ecb, 0x910df0a7, 0xdc73e36a, 0xa00f5f85, 0xcf840d08, 0x08c30185,
+    0xa6926982, 0xc5597d4f, 0xd1000d85, 0x79d6d8fa, 0xf710b587, 0x8b292df4, 0xaf6768a7, 0xfbbc7a89,
+    0x670a9cda, 0x4598b9b6, 0x8fa7b7d7, 0xed958eec, 0x8d14e4a0, 0xc9cbc992, 0xbe065ca8, 0xc8822a0d,
+    0x2c50b64a, 0x88a21d94, 0x7f4c44b9, 0xf79d5018, 0x04b7745e, 0xe9cbf8d1, 0xf4dc0474, 0x3526fa28,
+    0xd45b06e9, 0x1ba37091, 0x5ac92115, 0xcc6a9f55, 0x2e8618ca, 0x7505eae7, 0x5766dc2a, 0xd4ff5a68,
+    0x887c050c, 0xe82f99fe, 0xa061a543, 0xab70d092, 0xfda30996, 0xffda8157, 0x41e2637b, 0x251a9de3,
+    0x551a067c, 0x0a2c2023, 0x74f2ec82, 0xd0082fb7, 0x3a6b6ae7, 0xeaa95394, 0x57ad59fc, 0xbd54af7f,
+    0x883dd38c, 0x78136c8e, 0xde3bf66b, 0x5cba6884, 0xe009a258, 0xfeb663d6, 0x6925bb14, 0x51f7d5c9,
+    0x1ff278c8, 0x0deae9d0, 0x5267f788, 0x5cadcd28, 0x83134b9a, 0xfb38b5c6, 0x5eb91e2f, 0x9420ad39,
+    0xb5104b05, 0x2ffb4724, 0x5489a6a4, 0xae2ebd91, 0x9a54cb87, 0xcecf784b, 0x43836c45, 0x6b93410a,
+    0x0cd7f28c, 0x4709e8a0, 0xc2861556, 0x0432b262, 0x1fcba7f9, 0x6910cbd0, 0x763f9d38, 0x51bafc4c,
+    0x213bc657, 0xa73ba023, 0x39fe6a7b, 0xc30434c1, 0x8c2989b5, 0x01800896, 0x4f75870e, 0x0de9e4f8,
+    0x41459b88, 0x62f0ea49, 0xd4331ec4, 0x3fd2e785, 0x53d421b6, 0x919a67a9, 0x4abe6050, 0xcc859280,
+    0xd4682203, 0xa20a63c7, 0xff4439c2, 0x286ddc13, 0xe925d8d7, 0xa450e81c, 0x51da1306, 0xa4416074,
+    0x2f5d6630, 0xe04980b8, 0xb2b56cb6, 0xc7d6c42a, 0x47dd7ae4, 0x25f7e18f, 0x1e260db0, 0x8decbd4a,
+    0x867df137, 0xa562a27e, 0xa369b9c2, 0x1d673afc, 0xa146ad71, 0x9ea6d06a, 0xfef353e5, 0x80b891a1,
+    0x0fc06638, 0x0309b0bf, 0x4d51682b, 0x4b33d154, 0x271b99fc, 0x348ea5a9, 0x3fdc20f7, 0x7413c042,
+    0xd87d9f42, 0xaed8e304, 0x92d96aab, 0x5c45c5c7, 0x4ba389b0, 0x05108cec, 0x9f873768, 0x35852a29,
+    0x9fd80765, 0x2cee72fe, 0xc5b40ca8, 0x0fb93c32, 0xd88b8a8b, 0x9918c92b, 0x725704d1, 0x9672bfa4,
+    0x3c61666b, 0xb38387bf, 0x6a97beb3, 0xdd34a7bb, 0x1180287b, 0x874d1e3e, 0x90538012, 0x4fcc9bdd,
+    0x27801731, 0xa233bcb0, 0xe0015502, 0xb341795d, 0xd7eaf726, 0x13170ae3, 0x00a41a57, 0xb7ec8d8e,
+    0x5d750ccf, 0xdd14cc5a, 0xee6d316d, 0xb5f4c344, 0x82fe617f, 0x0e252546, 0xd1ef176e, 0xf68920f8,
+    0x3d0780b9, 0x8e959b6f, 0xa7cdee98, 0x04af038b, 0x3c018a7b, 0x2c869df3, 0x1225ff8e, 0x6956d57f,
+    0x24a9ba5b, 0x1f6f275b, 0x5c070620, 0x519a5adf, 0x0792622d, 0x50d40689, 0x0de1ec4c, 0x4ba51702,
+    0x9b751d86, 0xaf817c38, 0xa7cf3e9b, 0xea1d72f3, 0x51f068d5, 0xc3eace2a, 0x2c80cc6c, 0xa489314c,
+    0xfe6788d6, 0x94b6e234, 0xcedd4143, 0x97e932b9, 0x581fecbd, 0x4052ecd8, 0x8c0fe414, 0xad150733,
+    0x8166f852, 0x82cfaed2, 0x1fe270fb, 0x0e0c4874, 0xd854677a, 0xdb3f0711, 0x398cd93e, 0x773f6ceb,
+    0x5baef646, 0xafb5bf4b, 0x480e3673, 0x416d8957, 0x789ffd54, 0x824a08be, 0xfab2d269, 0x3cfdb320,
+    0xa9fce5a0, 0xe941ca27, 0xf1b0729c, 0x4cf818b8, 0xf38ee3d1, 0x18353a60, 0x38a50a77, 0x86d98597,
+    0xa7e0044e, 0x7f5c5939, 0xba457fe1, 0x07073224, 0x5b2ab2e4, 0x59b57716, 0x00dbad72, 0xda57b39f,
+    0xf8f8cc3f, 0x9f5d7c18, 0x5d40daa3, 0x3a95a573, 0xf02ef50d, 0x1cbf2010, 0xce32a4fd, 0xbe183206,
+    0x007ae515, 0xff7571a2, 0xf157f2f9, 0x5a5814ff, 0xf9a741d1, 0x57011a7f, 0xa6cc3e85, 0x38853ab6,
+    0x70ab8e88, 0x5f9cdf4a, 0x035ec5af, 0x76cf5e21, 0x680ebc9f, 0xe26bcc36, 0x2b3194e0, 0xe358da5a,
+    0xcb86836d, 0x803b0aab, 0x26b5d27d, 0xaf5008d2, 0x1db2f67a, 0xf136c92c, 0xf9dac937, 0xbae241af,
+    0x83f53fdb, 0x97c20df1, 0xb8db23bf, 0xe19ab25c, 0xc50b4292, 0x1d48a977, 0x926923b1, 0xb8eadf5d,
+    0x6baf431f, 0xb89e00d4, 0x19e6c648, 0x04525429, 0x497ece53, 0x7b7ef32e, 0x7f66335b, 0x5dc0c5fb,
+    0xa0e07e5e, 0x8792a57e, 0x1fb05de3, 0x296db112, 0x1f487eea, 0xa2863445, 0x958b76c9, 0xab658a51,
+    0x367efc11, 0x0d2f304c, 0xc11c1ce5, 0x778870c8, 0x0b38edfd, 0x2a42a655, 0xe5ef2b05, 0x13d9849a,
+    0x1535d692, 0x1b6fe481, 0x5658d59e, 0x987a4b5e, 0xe8dbd702, 0xb7464a23, 0xedf4a23b, 0x2425efd8,
+    0x26eab740, 0x419ea2f2, 0x69cc9e12, 0x510e22f3, 0x58859660, 0x75e083cf, 0xc96b4b77, 0xf4dae836,
+    0xe3b4fb7d, 0x7acd6032, 0xd355139a, 0x8f0fc5ed, 0x3abd43b7, 0x65da95de, 0xc541ae37, 0x8666f894,
+    0xf49e61d9, 0x941b0a74, 0x80beb561, 0x4d1c8506, 0xa949e1b4, 0x7663ad91, 0x88ba6457, 0xc989b289,
+    0x3debe85a, 0x5a8cedad, 0xee69a0c9, 0x9f592d81, 0x5b8e10f1, 0x1c5981db, 0x39923f88, 0x068b3618,
+    0x99483347, 0x2e17789c, 0xf0734183, 0xac04c1e0, 0x18267804, 0x4487be3e, 0x19ce74d7, 0x8b07780c,
+    0x975bdf3b, 0x190df114, 0x23617ddb, 0xac477393, 0xefd287e2, 0xc1e121ca, 0x6134edd2, 0x92b7d21d,
+    0x224a7b40, 0x986008a9, 0x2dc59ce2, 0xeabee62d, 0x1c9791b3, 0xc4a1717b, 0x5109e3f8, 0x8b4b184a,
+    0x00000000,
+    0x0fde9dd4, 0x859d0665, 0xac8082e7, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b,
+    0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000081481439053379\
+                         44345073782753637512644205873574663745002544561797417525199053346824733589504 */
+  { 0x00000000,
+    0x741dc657, 0x832ba770, 0x71d976a1, 0xb31d22ca, 0xfc37935e, 0x1484716e, 0x68d91603, 0xdf2b496b,
+    0x3f962596, 0xd040a646, 0x40672b7f, 0x5b45f61d, 0x1d216f59, 0x64f69d0f, 0xcd3f864a, 0x47d9d3fc,
+    0x3172fbcc, 0xa440a865, 0x06a410ee, 0x18ac51f9, 0x9d4b724d, 0x28a3255a, 0xd4d72e64, 0xd257f506,
+    0x5b7a72d0, 0x1274e642, 0x7e329c53, 0xfeac7f54, 0x24074fd3, 0x1e2e55c0, 0xe7f0c882, 0x0df43ba8,
+    0xe1fc6858, 0x0e765bf6, 0x5e6f0a62, 0xd4df7a2d, 0x2d243507, 0x7b31a4d9, 0x6d93f444, 0x32514bfa,
+    0x91ac68f3, 0x5d2049c5, 0xbc729aa2, 0x70a6cde0, 0x3229d4c8, 0xd9db8d69, 0x01ab6d0d, 0xafa8eab4,
+    0x2a8d5927, 0x41a4d0c0, 0xadd6f560, 0x17b837ac, 0xf95ed4af, 0xfa7f36b8, 0x1192c5b1, 0x3f1a83dc,
+    0x4c9135a1, 0xe897a85b, 0x022c2c53, 0x8a1772fe, 0xf9cfa117, 0x79f51771, 0x088d9d34, 0xc0cf544e,
+    0x6159f991, 0x7e83e774, 0x1a3b01e3, 0xa627ba36, 0xad4c7d44, 0x3ed3751e, 0x6168ee5f, 0x6156102b,
+    0x6c82cd9c, 0xd5edaaa8, 0x38e1154c, 0x19e57066, 0xc1144984, 0xc2398aec, 0xf3614275, 0x812d88aa,
+    0x55b41511, 0x7004fef6, 0x17d407f1, 0x8900206c, 0xe8b7825a, 0x7c80b46c, 0x891482e1, 0x124cd36b,
+    0x88a0c062, 0x2e658bd0, 0x4dba9c38, 0x18f92c77, 0xb6c5cada, 0x84e79de4, 0xdabe332c, 0xe3e7e073,
+    0x7fbc3d69, 0xa77593b5, 0xe2d450ee, 0x29b7ab3e, 0xeddc2b67, 0x866b617b, 0xd898d06e, 0xf24cf838,
+    0xc75b0668, 0x1973c8cf, 0x3375f12a, 0x4335ef14, 0x273016e4, 0xa8aca5f1, 0xea128858, 0xa1616486,
+    0xf171e603, 0xcbeb38d1, 0x9a38b96e, 0xccda74b1, 0x80a4f434, 0xfacb6ebd, 0x84e90788, 0xd6ef6418,
+    0xf3a8ee6e, 0x1ef2f6ad, 0x5ca6e3fd, 0x9b639b52, 0x555edfaf, 0x1bfbd378, 0xa27c56f7, 0xec5626b2,
+    0xbe797f40, 0x8e97c53e, 0xa8f95681, 0xe8670c0c, 0xe4b2a9ea, 0x86050156, 0x0ead8189, 0xec9ad4be,
+    0xd6d942ec, 0x4ede9d99, 0xbb501507, 0xd110fa23, 0x89719405, 0x09ba1265, 0xe91730d1, 0xae1bf366,
+    0x29e70024, 0xed4d6288, 0xf620acec, 0x30b4f01b, 0xe0e1ae54, 0xf8a9d8b8, 0xbd4d3ea8, 0xbab9053e,
+    0xf16d0451, 0x46e746cc, 0xfd599c48, 0x02bc9deb, 0x6f726d73, 0x73a610ea, 0x902029c9, 0x308408cd,
+    0x67b6ac22, 0xa5063fab, 0x5a16ef03, 0x70328f4f, 0xe2587232, 0x9c0e102e, 0xbda825ce, 0x41264e25,
+    0xfe558edb, 0x80ab6320, 0x92c7d032, 0x4d383def, 0x696313d8, 0x99cb2e90, 0x6fc78fa5, 0xb20b0eb4,
+    0xe731fc99, 0x90bc5751, 0xb3f9c301, 0x147bf7c9, 0x12a72713, 0x1583f77c, 0xf3701d1b, 0x4045a22f,
+    0x36dcdfe4, 0x91eca972, 0x4d4026db, 0x3d0f6e4c, 0xd0651166, 0xd47a07c3, 0xe4fd6da0, 0xd9d6f54f,
+    0x75dff168, 0xa3d3bef0, 0x9d2f123e, 0x02ba2076, 0x9ae89e16, 0xf35f2651, 0x6d0ceef8, 0x43af692a,
+    0xe71e1d96, 0xd23e9394, 0x6c0d20c6, 0x38a2eb54, 0xad809ea7, 0xb76580c1, 0xbcb871ad, 0xfcb771dc,
+    0xc6fe9d21, 0xbdfe9f9a, 0x34c4266d, 0xb1a1e954, 0xa9322bab, 0xa7877f8c, 0x95e0f70e, 0x97a52860,
+    0xebb5c466, 0xc5a50f2a, 0x2e17f280, 0x2459b2a6, 0xd573ad6c, 0xfb2d8c33, 0x7c5e001e, 0x9a772a30,
+    0x9d62077b, 0x44cef05c, 0x14bea194, 0x511641c1, 0xadbbb2e5, 0xd046c224, 0xe8106002, 0x637e1a45,
+    0xd5d7c0f4, 0xabb9130e, 0x793ed403, 0x9747d2e8, 0x66735e1c, 0xf666d4eb, 0x8366c4fc, 0xf5ed6391,
+    0x9337737d, 0x17e44ab1, 0x82520e0c, 0x247f99ba, 0xb061e3d2, 0x88b697b0, 0x6a003eab, 0xc95e986f,
+    0x2591e030, 0xfd6cdc63, 0xaed61b3c, 0x1622a6fb, 0x6208f5ce, 0xfc3c0b87, 0x5bd95021, 0xaac395dd,
+    0x7196cb49, 0x83029886, 0xfc95d980, 0x34ce4f62, 0x2d826603, 0x401c749d, 0xdae8e886, 0xcfd79337,
+    0x39958b49, 0x7e348795, 0xd1e9eb9e, 0xdd5e8452, 0xada8d582, 0x70b28fed, 0xa6cf5838, 0xcdb99ce2,
+    0x25d5c9d3, 0xfdb823b9, 0x22f79635, 0xdabe9bed, 0x0f808e1f, 0x7d5ccbdd, 0x9fc4aea9, 0x9cfbc515,
+    0x5f852169, 0xb7de3251, 0x7ae759b2, 0x34804bed, 0x797efee2, 0x653be00a, 0x516b5727, 0x296370c1,
+    0xb56f8241, 0x5af9f537, 0x21507615, 0x27af2107, 0xa710088c, 0xc436214e, 0x49d0911d, 0xf2440e78,
+    0x4bb9505c, 0x16089834, 0xac04dc20, 0x71e137f1, 0x016ba078, 0x1adb2b4f, 0x3172113e, 0x50666181,
+    0x18d53630, 0x36ca6c7f, 0x5d475cfa, 0x7dc86a04, 0x0ed92582, 0xbc6327a1, 0x17db990e, 0xd56e8e9a,
+    0xe91cfe94, 0x1cbccba2, 0xce567148, 0xf7331243, 0x9ee4b531, 0xdbfda6e8, 0xe387cc75, 0x04a70795,
+    0x3585da26, 0xca67b9f5, 0x66bc8e28, 0x8bf71bcf, 0xaaacf2bf, 0xda2265b8, 0x13b8896c, 0x395ae2d1,
+    0x371fae34, 0x6a3fdf29, 0x31cb1864, 0x8ee6f762, 0x2d9812de, 0x06a41661, 0x69ee5207, 0xa37b0baf,
+    0x926c1892, 0x76fb4eaa, 0x85648b8f, 0x0dc3ede8, 0xfe7edfbf, 0x818b6f04, 0x735db60f, 0x32ec96c1,
+    0x3aadcf83, 0x96dfd58f, 0xd7b6809b, 0xd7b96f4e, 0x9918f062, 0x7ba24b3e, 0x67b48f07, 0xdc0b22e1,
+    0x4d700c81, 0x1bab0e90, 0x79095d71, 0x30a3404c, 0x80a83206, 0x94f1cb3e, 0xa335b9ff, 0x346ca63e,
+    0x32edbc21, 0x97dfa6d6, 0xc247f687, 0x3fb50957, 0x7c08f987, 0x06a5cf5e, 0xdd3d5c9b, 0x1d1e5db2,
+    0xc9aa7e53, 0x4fbb3764, 0xb4b87c4a, 0x53ac1a6b, 0x02eaa3ab, 0x9e481202, 0xa733ee04, 0x5e0b9eca,
+    0xdad3915b, 0xa2e17d24, 0x3c439edf, 0x76674141, 0x191918f7, 0x9e251543, 0xcd9713e5, 0x37b61b27,
+    0x204bfa26, 0xcd8406b9, 0x4f7168e9, 0xe7afb09c, 0xbbaa992d, 0x9855f258, 0x113069fe, 0xb81f25f3,
+    0x1e51aa85, 0xe2735f79, 0xb503587e, 0xc6c03f1d, 0x71fbdd4d, 0xfd8a4d41, 0x9c8da291, 0x421749c6,
+    0xbb4f2df3, 0x643337cc, 0x7d2d48e7, 0xe56fea55, 0xe8319ec1, 0xc67beadd, 0xc0a95e3b, 0x6e31de62,
+    0xdf5951fd, 0xe5bade03, 0x99ec2d08, 0x81698a15, 0x69a02a1a, 0xecd3c8ef, 0xb2858553, 0x4bdcdb82,
+    0x0468b491, 0x7610c419, 0xfe9baf0d, 0xfdd80b4b, 0xd8d3555f, 0x51e8decf, 0x44b7ff45, 0x31850d9e,
+    0x1c000f67, 0x2755c9e5, 0x1a7014d9, 0x4fde714d, 0xf7e1164a, 0x83352cb7, 0x0343a899, 0xe9e8c366,
+    0xcae30eb8, 0x9682f394, 0x3200602d, 0xd2313e05, 0x2ef26582, 0xb7d6d2a0, 0xd2e4ed57, 0x59a87b2b,
+    0x4c575d89, 0x51551942, 0x1d51e1a7, 0x0fd6a435, 0xc15157c0, 0x0b6dfdcd, 0xffb46262, 0xb2a89ad5,
+    0x8b197f35, 0x87491f19, 0x92cb84ed, 0x5b230c01, 0xc59b82a1, 0xb4c4dd43, 0xbf5a64e8, 0xc5b53ea2,
+    0xaf9960bb, 0x71708a54, 0xcf09fc87, 0xfd9941cd, 0xeac78d20, 0x0a01c22d, 0x71ec33ff, 0x873501dd,
+    0xc4d777fc, 0xeec601d1, 0x5edd2914, 0x45672b76, 0x06908dbe, 0x041714ed, 0x27b6cc15, 0x1252d93f,
+    0x7d35ee3b, 0xd0c94a06, 0xa8fda23c, 0xdab487a8, 0x1ee31aa0, 0xfa758308, 0x8097770c, 0xb0d01262,
+    0x2f32cfe6, 0x292da37d, 0x33ec19bc, 0xe9f250e0, 0xbc9739b1, 0x842d4474, 0xd3ff7ba5, 0xd93909bd,
+    0x4315b681, 0x0287be60, 0x9a0a79fb, 0x00787a93, 0x7dea56af, 0x50db7a06, 0x845f9f18, 0x61c4b3c1,
+    0x6e01aa97, 0xc1b3cf99, 0xa8d9e9c8, 0x4b4bf7f1, 0xa0696bf7, 0x84720b1b, 0x7e937792, 0xdf3b1163,
+    0x03fc43ef, 0x7b16e697, 0x33039acf, 0x8fed29a7, 0x8cf93d5d, 0xff6d23a7, 0xcc277b4a, 0xb79c75e6,
+    0x95f5e2d0, 0xa9697e03, 0x25fb764d, 0x61bb2327, 0x5fbed97e, 0xb3b2e29d, 0xe808c3f7, 0xbaab47c9,
+    0x06f6e921, 0xfe988526, 0xd531b511, 0xf1949c40, 0x0f9a1217, 0x72bffa00, 0x3a6d2ffc, 0x83e41b5c,
+    0xecc92ce5, 0x1bcde719, 0x469692de, 0xb3e8b57e, 0x7a051495, 0xcf28e5b1, 0xbb581f33, 0x8384ad82,
+    0x1c307ce4, 0x2ed79b4f, 0x8b781c7f, 0x49c10117, 0x7894815b, 0xe85dbbe9, 0x5c9d96ab, 0x65127464,
+    0x08e6be8e, 0x54d04524, 0xa79946ae, 0x508ff1d1, 0xf27ac233, 0x6983d8f9, 0x70b34739, 0xe4ab9023,
+    0x59dd8d27, 0x26da1f7b, 0x2ca64edf, 0x92df8dd4, 0x975c386f, 0x8c257202, 0xabdf167e, 0x2f4f1761,
+    0xbfc233e5, 0xefe5614b, 0x1afbdda3, 0x143ab91f, 0xe4a06436, 0xd498f586, 0x9dd65bb3, 0x5f23a4c5,
+    0xdb133651, 0x16076e82, 0xb87e3750, 0x200c052e, 0x37b6e483, 0x396e5102, 0x3bf2a7ee, 0xdd940c2b,
+    0x687e7bd1, 0xeba38272, 0x36abd302, 0x14e89928, 0x12df2e44, 0x52532b06, 0x877e3a25, 0x623d7b39,
+    0xae2179b0, 0x389ad2b0, 0x4710cddc, 0xa3509daa, 0x733cf5a3, 0xe8c6131d, 0x94849d54, 0xd205e3fe,
+    0xfb078a72, 0xca5577b0, 0xb7c508bf, 0xef37d8fb, 0x90662258, 0x7f5747b5, 0x208f9400, 0x52c56742,
+    0xa3a9019a, 0x827de6b6, 0x5a563005, 0x97c1ed83, 0x68934dbf, 0x47513305, 0x41860875, 0x45ac48fb,
+    0x6bb63764, 0x2a5aa75c, 0xf083d62b, 0x4e871506, 0xef54e27e, 0xa032e1c2, 0xf1fd352d, 0xb13bb92d,
+    0x92add5f7, 0xdcbd3dfb, 0xd0be6c64, 0xe8dad395, 0xb46d47d1, 0x4b3e18f8, 0x111f2ca5, 0x24b1c93a,
+    0x36efb58c, 0x12720935, 0x536f0c08, 0x36bad04f, 0x793fa374, 0x8ae23248, 0xb17fd87f, 0xf6d37c49,
+    0xdf3c5875, 0x17fca0e8, 0x81fc4ceb, 0x0e241ad1, 0xb2fce82e, 0xdebabafd, 0x9bd34707, 0x25c82e4f,
+    0x53a5ed06, 0x3644da63, 0xe0d5f941, 0x4b6f2a7f, 0x42ee191f, 0xb45d854f, 0x3e98fe2a, 0x53568fe6,
+    0x55d18163, 0xcb764795, 0xa6656044, 0xd3da3ac9, 0x00e9cc0b, 0x30bb420b, 0x8567ccfe, 0x0bda2d3f,
+    0x8e249257, 0x78386826, 0x5f37bfee, 0x0c351f93, 0x3427e728, 0x400d63d2, 0xdf87fc3b, 0xa0645e60,
+    0xa25fa6b0, 0x050ef2c3, 0xf9b10f86, 0xd6060e92, 0x74c171fe, 0x0b283005, 0x42605770, 0x9dd6d4d8,
+    0x67121f2b, 0x5a762839, 0xb85e24af, 0xe605ca23, 0x59f7bfc6, 0x7e42cbf7, 0xb2c98ae9, 0x84de8746,
+    0x9ecbddbe, 0x688acff8, 0x523c9a3a, 0x38f84d43, 0xee769fe9, 0x40f71972, 0xeb24db66, 0xcbe3997a,
+    0xf2f0b82e, 0xc48e3b63, 0x16d323c3, 0x864a59ee, 0xa963d7c8, 0x54aa6539, 0x0ab1a323, 0x8511db42,
+    0x68795e7d, 0x59ef6086, 0x23d21d80, 0x8ce304eb, 0x3794a47b, 0x4a8192a7, 0x22ca720c, 0x2da3ca05,
+    0xbe123d31, 0xcca32281, 0xaf819846, 0x70a66946, 0x7a946c0f, 0x6cffc7bd, 0x699eb4af, 0x6e607129,
+    0xbf08261c, 0x398efb07, 0x9be88056, 0xc1a20bfc, 0x2cca1517, 0xb989cbf7, 0xebd67b37, 0xa3c6b4e3,
+    0x5d24a844, 0x94385536, 0x7df9e76b, 0x40c8c6e1, 0x71e0ef8b, 0x3f88bd5e, 0xd1cf10ff, 0x5ce62b28,
+    0x0557019f, 0x0c4d7814, 0x8879cc7a, 0x0fbf6097, 0x2fec1638, 0xf413715d, 0xebeb964b, 0xbb69dce9,
+    0x86826414, 0xe3cf73dd, 0xf3f1c635, 0x65997897, 0xd313c25d, 0x6d64f09a, 0x85302a0e, 0xb2f28565,
+    0x3dfa5f6a, 0x10285882, 0x9391a9be, 0x8f5691c5, 0xde5facd2, 0x75e737dc, 0x51c71463, 0x397ba108,
+    0x58e0a15d, 0x153b54bb, 0x60874944, 0xbcc6ade8, 0x89ca95e5, 0x762db0c1, 0xec83bd8a, 0xa910285b,
+    0xe9138996, 0xf9e814c4, 0xdffcb9fa, 0xda33aa1e, 0x9ac6f45c, 0x2154cc45, 0xbec0e1cd, 0xb438e129,
+    0xc485d526, 0x8e5a6d40, 0xf2361f7f, 0xa3f02851, 0x88ee96e0, 0x86b0a9fa, 0xbb0eb315, 0xce334df7,
+    0xa5fc8c63, 0x3722c562, 0xea874142, 0xafdf186e, 0xb39be018, 0x2dc4c4be, 0x572aa3de, 0x21539c5c,
+    0x6e195043, 0xe9ee6dbc, 0xa2c39f90, 0x6921e883, 0xf4a17099, 0xa6079628, 0xe4ae095c, 0x62ce7a26,
+    0x82245dd7, 0x38c45de5, 0x37d0c6fb, 0xa4327d95, 0x7c47da7d, 0x924f74ff, 0x1ae259d0, 0xf876d9b3,
+    0x6d3972e9, 0x5864232a, 0x74a6a33c, 0x0abce55d, 0x031e7422, 0xa362bbb3, 0x1f70ec7d, 0xfdcca61b,
+    0x73ce4ec3, 0x0a30bcae, 0x3304782d, 0xe5389753, 0x95e5d927, 0x140ae67c, 0xfc65ba1d, 0xdfcd4f1b,
+    0xefc69278, 0x49c2736e, 0x6c2529b2, 0x62c00ceb, 0xfc5769f7, 0xc90839c1, 0x0f9528bb, 0x2a7bb00f,
+    0xdaba4937, 0x3348f6bd, 0x9873ae14, 0x04f2a7b9, 0xfe7f2596, 0xe1ed8e96, 0xf86849df, 0x50734043,
+    0x198e2c8f, 0x7f808cdf, 0xd107d7b0, 0x67225ed0, 0x68e4ab96, 0xb1e96c0d, 0xa50ee088, 0x192325fb,
+    0xdcbe74d1, 0x39aeef67, 0x439251d9, 0x8a1e1e14, 0xac05d4f2, 0x7edb56fe, 0xe73ce01a, 0xc0fe8ae8,
+    0x37d29458, 0x84a5ca4e, 0x3af66d0a, 0x1e03c450, 0xdb319d48, 0x0a298fdf, 0xb81fe877, 0x1becd9f8,
+    0xccff402b, 0x5d272657, 0x812d808e, 0xdb2e57eb, 0x0ef87a0c, 0xe793d70b, 0x72bd8197, 0xca27162f,
+    0x86b8f745, 0x91904c10, 0xc4a72473, 0xe92abb71, 0xe01ffd13, 0x5007033e, 0x0b782988, 0xa77d248a,
+    0x44b45e73, 0x473d908d, 0x8d623f5f, 0x456ff928, 0xadeaf3f2, 0xbc77ec24, 0x1039e4e9, 0xbd85763f,
+    0xe7b177c8, 0xf1b542f4, 0xd68c3562, 0x22ca5062, 0x1a0a37f1, 0x26dd1044, 0x141a37c8, 0x1172eaf7,
+    0x6469306e, 0xec28c121, 0x645489e6, 0x8eb63b43, 0xc0ad8768, 0x4b4a38d3, 0x82104330, 0xc66a72fe,
+    0x86773fd3, 0x64a197e2, 0x01301e1b, 0xd2f67b23, 0xd387db02, 0xb3adfeec, 0x6dfa6705, 0x9ba3067f,
+    0x6340954e, 0xc75df05f, 0x03368d0d, 0x0ebea9cf, 0x14fab98c, 0xf2588f85, 0x2e734bc6, 0x4bdf6587,
+    0x3b957e97, 0x4875e84f, 0x004b5a32, 0xe60d730f, 0x10f1aa99, 0x23fbafbd, 0x08ae297e, 0x0fc4e5b1,
+    0x2260bebe, 0x276279c7, 0xf8b718e2, 0x116fdd62, 0x84d616b2, 0x5550248d, 0xbc8b97da, 0x78fc1936,
+    0x3f95f127, 0xdcd4d198, 0x09ef277d, 0xdc33f5ed, 0x3c7f9f52, 0x959f835e, 0x607df3e8, 0x47ac67fc,
+    0x301b8f68, 0x91b11605, 0x67596e10, 0xb8aa8875, 0xf9fe0c9d, 0x39e417f6, 0xb82da06d, 0x64c5abc6,
+    0xd1cd14c8, 0xdea0cf8d, 0xf11eabcc, 0xeee64680, 0x00f76e2e, 0x16ca5bf1, 0x7c2ed66d, 0x400155fc,
+    0x8c27bcf7, 0xf862cfc3, 0x79b648a9, 0x31181af5, 0xf090c0f8, 0x12f82552, 0x05b60398, 0x73bf788e,
+    0xf223abac, 0x88f906bd, 0x6e1d3402, 0x43788e12, 0xa9bf6ffb, 0xa2392c08, 0xb081ab40, 0x0208b3f2,
+    0xd95b80d9, 0x95c5a29f, 0x651b65a1, 0xca0b7ad2, 0x6ce42daf, 0xd57c6bac, 0x85a8201c, 0x32e0c7a4,
+    0x4fe63e76, 0xd3c5419e, 0x135d71f0, 0x0e04bdc1, 0x64098c80, 0x79bfd441, 0xb1771fdd, 0x9003b908,
+    0xf242d8fe, 0x530abbaf, 0x7ba85c40, 0xea6d7ffc, 0x3e956ce8, 0x08be29cd, 0xf3bcea87, 0x69d92dcc,
+    0x4b8e034a, 0x503d725d, 0xcfc50620, 0x6c77d18d, 0xd0cb4ed0, 0x166992df, 0x013ef5e9, 0x46c7bf2c,
+    0x957e33d7, 0xfaebf002, 0x953df145, 0x55ac9158, 0xcdb5c447, 0x35513cd5, 0x67668ac4, 0xbcd60e81,
+    0x00000000,
+    0x87ef4ee9, 0xc2ce8332, 0x56404173, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495,
+    0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000040740719526689\
+                         72172536891376818756322102936787331872501272280898708762599526673412366794752 */
+  { 0x00000000,
+    0x2c3c4c23, 0x2c33446b, 0xc04fbdfd, 0xb3d87212, 0x47595dfd, 0xff890f41, 0xb7c58955, 0xb431224b,
+    0x5e1cde19, 0xc7943fa5, 0xc31afbd3, 0xaf1558e1, 0xbfd0713c, 0x9d8ec000, 0x7250ae94, 0x270e2c53,
+    0xe03db36d, 0x09d7760f, 0x23795ae3, 0x83319d35, 0x5d8a87cb, 0xae25cd63, 0xe76cacef, 0xeb1451c1,
+    0xae109087, 0x6d044b0c, 0xb23b5cad, 0x794b603f, 0xae043443, 0x19d127a1, 0x87a99744, 0x01541706,
+    0x59b0ca6d, 0xf0b03f1f, 0x7f2a6842, 0x0d8eaa76, 0x1473058f, 0x2692a619, 0x6368596c, 0xc9a20cc7,
+    0xbcd2c0c9, 0xf5930429, 0xc31a44a3, 0xe0b3ee50, 0x6d9640b5, 0x365dbe58, 0x7f568172, 0x0a785379,
+    0x733264cc, 0x3020ba7a, 0x141a9624, 0xc43382d5, 0xf2415c74, 0x19541e5d, 0x2d6fc7a8, 0x3018aba5,
+    0xbc5cfc82, 0x2322bbcd, 0x93461cb2, 0x7c3b71ff, 0xc30266ea, 0xf78a0dd5, 0xa21a5d17, 0xb9ed0bbd,
+    0x68259912, 0xc346b4a1, 0x9eb8dec7, 0xbac7f06d, 0x136f71ca, 0xeecdb3a3, 0x80301633, 0x9b83066c,
+    0x3c8a925e, 0xf2d47fc2, 0x9f19ddfa, 0x15c64601, 0x5ab4e8e6, 0xf31ed976, 0x3b401c7c, 0x459e85de,
+    0x75babeeb, 0x5c2a2f75, 0x18299fe6, 0x4bcce5c4, 0x6d9e2f4d, 0x0cd14b1d, 0xef5b66ea, 0x88b2785b,
+    0x68d84e13, 0x894eadf1, 0xd45ae8e3, 0x25d36056, 0x2c762963, 0x0d6e0ecc, 0xa13cfffd, 0x13f78905,
+    0x7a8c4a08, 0x3bb72536, 0xa1eba8ee, 0x87f1cbe8, 0x5b18641f, 0x8dbc87f4, 0xf48d6df1, 0xccf302bf,
+    0xdd13e44f, 0xccbcc778, 0x3bcb1f50, 0x20b5b8fe, 0xa313d0a5, 0x19295f5e, 0xec061fd5, 0x5960d599,
+    0x4b2c80a2, 0xeb44992f, 0x24abe3d8, 0x0afdfdb3, 0xc32a026b, 0x70a70bca, 0x80119f71, 0x1cb72ef6,
+    0x9395bc22, 0x42e79e92, 0x1ada083b, 0x209836b8, 0x91116404, 0x137ea605, 0xf523c3cc, 0x2a7b0557,
+    0x2394bbfe, 0xba866ae9, 0x339cd7ae, 0x7ad70224, 0x79843f18, 0xb4456ae2, 0x507ab075, 0x48b1f76a,
+    0x8917075d, 0xb11e608e, 0x05bdd8ec, 0x05d9d7a7, 0x9d74f05d, 0x6292a84c, 0x4ff60cfc, 0x00b8fb81,
+    0x0a5f2810, 0xea4bcd41, 0x20d22d02, 0x3822d07b, 0xd97a759a, 0x5092a9c4, 0xef64de15, 0xe9d631a5,
+    0x54d87e9a, 0xb3b6a4f0, 0x93963f5e, 0x08d65d71, 0x56d47e62, 0xa40a41cf, 0x9b734a79, 0xdd92c480,
+    0x24c7dfbc, 0x8f5333c5, 0x29ee07e3, 0x22418ae3, 0x4e906151, 0x3f8e3d11, 0xc39dc52c, 0xa4b376c9,
+    0x3a55475e, 0x18315877, 0x50716d4e, 0x3955c22c, 0x98fe9d3d, 0xc8b1af53, 0x6f342813, 0x4f916c4c,
+    0xb57093ca, 0xa86b6093, 0x966e76cc, 0x407d5a4b, 0x420b5723, 0x1fd1483a, 0xba181de2, 0x493240a9,
+    0x7cc59a29, 0x62bdad40, 0x99f3a576, 0x3a6c200d, 0x527c80a6, 0xb6f4f965, 0x18999040, 0x87cdc603,
+    0x19541302, 0x1a092874, 0x32c4d2fc, 0x78e9d56a, 0xe40fc369, 0x26a89a62, 0xe9f0697c, 0x65f2cdf9,
+    0x2cfc335b, 0xd90ce164, 0x87218eb2, 0x46340e70, 0xca190e2e, 0x23136bec, 0x8ef7f68f, 0x75bd40dc,
+    0x1f588be3, 0x72c99bbb, 0xe90f5f1e, 0x6189c558, 0x0d4ac830, 0x62e19dc2, 0x6acf3bb3, 0x4418212e,
+    0x83f4ce03, 0xd1234370, 0xf51eafc1, 0x26b01b12, 0xac1e5eb2, 0x8b8b42df, 0x0510269d, 0xc8c04390,
+    0x3c9f858a, 0xe42f9ff7, 0x93a19364, 0x991aafa9, 0xd5f6ecdd, 0x0f54186e, 0x86baf97a, 0x467f1430,
+    0x0975e63e, 0x55d258ec, 0x1c56cd81, 0xa6fc51a1, 0x692a680d, 0xf14cd9a7, 0x06835abf, 0xa778b5ab,
+    0xf002ac3c, 0x811782c0, 0x0fd0b3ad, 0x6018171c, 0x3d5b9aef, 0xcb0b165f, 0x278394f7, 0x5f3f0313,
+    0x7a91a76a, 0xd6abdffd, 0xfc115e9b, 0x30e2204b, 0xf680a152, 0x22bdda98, 0x46b40945, 0xcd682adb,
+    0x7842c083, 0xd4e908b2, 0x6db42251, 0xa29fb40e, 0xe215c3fc, 0x73e9278c, 0x351d7396, 0x5dd3ba62,
+    0x6c30a59a, 0xc3dfeb82, 0x516a92cf, 0x4946be53, 0xd4bdb01e, 0xae3229cf, 0x4784d099, 0x5675ec89,
+    0x89d9b334, 0x609aa8c0, 0x33f7a816, 0x04cbbd66, 0xe6b6ae3a, 0xcc96052d, 0x3f6c586e, 0x7ead704a,
+    0xb5e8e83e, 0x57441f6e, 0xaced74cd, 0xa6271a9f, 0x1b63a195, 0x40a637e2, 0x1fbbd5fa, 0xb8a1e588,
+    0x9b4056fe, 0xa56830f2, 0xec86ee25, 0x6852b815, 0x49fe244c, 0x00d8e4df, 0xb6f0eb40, 0xc55dfd24,
+    0xf32694ce, 0x6fadc07f, 0x041b39cb, 0x138451f2, 0x1ae7f28f, 0x6f5042a9, 0x1113f6d2, 0xc2cad18b,
+    0x9dbd2389, 0x92327f45, 0xca6e8dfd, 0xed588bad, 0xeb61112c, 0x1adac6e0, 0xf835eec0, 0xbd737a89,
+    0xaeff4281, 0x176f3ede, 0x770c3706, 0xd453c8d7, 0x312ae1d6, 0xd48192f4, 0x36ac6a2b, 0xd55711c9,
+    0x0a738c11, 0xd776b1ff, 0x39b4f665, 0x4a932fec, 0x645a0a42, 0x1d8d3f62, 0x7d6ddeee, 0x06b513a7,
+    0x85cb13f7, 0x8d57531b, 0x5f28061e, 0x67a7de5c, 0x4e5f89b9, 0xc08905a5, 0x9c00fe0f, 0x7fff4a4e,
+    0x45dda16f, 0x98373bb8, 0x9741b556, 0x021d2b0b, 0x849fe778, 0x73cf3846, 0xc31481ca, 0x81a0a8e3,
+    0x673e0e51, 0x3e49072a, 0xf310d0ee, 0x5b2eb94e, 0x4ddec0b6, 0x60c7f67a, 0x9b9daf41, 0xe3bcf81f,
+    0x8e596b86, 0x97a4eb42, 0x446edf11, 0xf984bf60, 0x30e339a7, 0x722c90e5, 0xd8218966, 0x253c5917,
+    0x581d2ecd, 0x1f539fa1, 0x9c8bab3c, 0xb65e5b6f, 0x917a0cb4, 0x7d33f682, 0xd38f603a, 0xb533db88,
+    0x7d720f5b, 0x5c852fcd, 0xac6b0402, 0x40bee679, 0x687b8479, 0xf8eaa5d0, 0x4d6a197f, 0xc8405c59,
+    0xdc79ccfe, 0x40657cb7, 0x9ee3af65, 0x05561ff0, 0xe704ce43, 0xbbe1a6c6, 0x81d67973, 0x7bd5e5ed,
+    0xdd3bbbc6, 0x6279ca07, 0x8f991bb9, 0x4bcb507e, 0x6df781a9, 0x05142a5e, 0x7cfc64b8, 0x77d4285b,
+    0xf1b3d64e, 0xcb202a60, 0x514c3225, 0x21cd84ff, 0xad2a59c9, 0xdb62bc47, 0x8ee569b9, 0x31cb59fa,
+    0x013c24d7, 0x40d57591, 0x99b61dd8, 0x46c59a7b, 0xa0f7851c, 0x6dffed25, 0x557e2d5d, 0xe59bf07f,
+    0xc5e9c737, 0xe53f5290, 0xac225bc6, 0x89519898, 0xfdbc386f, 0xcba4a238, 0x744d4669, 0xb3a346bf,
+    0xb2e39738, 0xe0ed21fa, 0xf63e1d63, 0x10ce03a6, 0x00fa6a9b, 0x5f28f0c2, 0xaa97adb7, 0xb0dbdcc2,
+    0xe859387c, 0x0e7825da, 0xae62d603, 0x1e0cc41e, 0x1f158e35, 0x06b79f50, 0x03279122, 0x193b8729,
+    0x8f3b39d3, 0x874d6852, 0x82d37b87, 0xd53deb71, 0xd3dce73a, 0xfa7c2b9a, 0x2a139d7a, 0xa92fa4e7,
+    0x063122a1, 0xe51fa73b, 0x80328a51, 0xc8d4b16d, 0xf7c450d3, 0x651ad6ab, 0xb7e35a2f, 0xfce3a8c6,
+    0x4b776761, 0x63a445da, 0xbb321985, 0x1c3b3fd3, 0xb26c40ec, 0x9b16f6c4, 0xbb728a06, 0x830cef93,
+    0x1be1a5f7, 0xe08f20a0, 0xae5df397, 0xa1481c92, 0xe523c7ed, 0x2ac7583a, 0x56678e81, 0x8366fa68,
+    0xff9ee970, 0xeb34f5dc, 0x5547238e, 0x059b89d6, 0x082eca3b, 0xa6d409bc, 0x058d4861, 0x82ebd009,
+    0xc0ee8881, 0x37eb61c6, 0xc3aa943f, 0xcfdb05cb, 0x5a7da41b, 0xb668ed8b, 0x04d1f0c7, 0x43a088ff,
+    0xcaf74866, 0x7222bb72, 0xdf03ae02, 0x75aab23a, 0xb5c0b325, 0x496ff44f, 0xbc0e1842, 0x78493c73,
+    0xadc31c6c, 0x4c217172, 0x19bcf385, 0x989b5ff8, 0x88c4e196, 0xbe3a06fa, 0x0ecbfb16, 0x5b7932be,
+    0x66809b88, 0xcec06035, 0xc26e1eda, 0x4bce8105, 0x8cdc0c05, 0x7a935ca1, 0xcd38e7e0, 0x838d7529,
+    0x152bae8b, 0x6ff26a62, 0x1df7efb4, 0x2a9dc174, 0x110f61f4, 0x98fb52a1, 0x82c8d878, 0x080c640f,
+    0xa67ca911, 0x4f041f95, 0xe0906bcf, 0xed2b60c2, 0xcb0d90a7, 0xef9f1476, 0x7d21e7bc, 0x4b1cf51a,
+    0xe3245ce7, 0xd0d5bf88, 0x81f7bcf7, 0xb8790423, 0xfc967a6b, 0x5c66d3ad, 0xd446639d, 0xfb14182c,
+    0xac3a0481, 0x57b545a3, 0x1c3cdf93, 0xecec2960, 0x0cb4b1df, 0x3321e82f, 0x11c20817, 0xc5eb6ba0,
+    0x2f98ae26, 0xb7abdcf4, 0x3a7abd44, 0x9326f8a1, 0x59c2d819, 0xa67c01c8, 0xde6afa9b, 0x735e26e3,
+    0xbc704c3f, 0x27ecac31, 0xc1905de8, 0xca73e35d, 0xbc08955c, 0x70ad388b, 0x0e0f8dd9, 0xf7f22eee,
+    0xd64200f3, 0xb70b3b6b, 0xd66a735a, 0x5e22e48c, 0x92481121, 0x6e6eae5a, 0x5c31f5bd, 0xa52835e2,
+    0x44f09496, 0xcc5ba429, 0xf1718cbf, 0x95a14578, 0xdf51281c, 0x8d858b66, 0x32c4839e, 0x50273ec5,
+    0xdcb1a851, 0x8cfba802, 0x4f2fb534, 0x438a4824, 0x9bd99932, 0xe29134f5, 0x8f2ed6ca, 0x6f8adfb9,
+    0x3cd4da43, 0xa557470c, 0xa4827aff, 0x62aaa607, 0xfbd11cb7, 0x9a1f5311, 0x058798c6, 0x76d458c9,
+    0xf3826b2a, 0x342185bc, 0xa1fb39b1, 0xa92c5ff4, 0x397ac155, 0x7093fd11, 0xd7479e98, 0x539086cf,
+    0x55755cf7, 0xf1c30a43, 0x76480c2c, 0xa9ccf80a, 0xfe0b34aa, 0x380d2a8c, 0x28e9b67f, 0x9b856ba1,
+    0x18768b09, 0xdac7fc44, 0xe03e1879, 0xe20eb1ad, 0x6d909293, 0xe4b91faf, 0x907f021d, 0x7959ec3e,
+    0x11c27e7e, 0xa76604de, 0x46409607, 0x26386902, 0x2969792f, 0x5a62aa77, 0x87615a23, 0xbb11b659,
+    0x633dab6c, 0x58e8f2ab, 0x6dade1f3, 0x42a28a5f, 0xb5b86511, 0xf4b4d569, 0x465ca22a, 0x30e5c6a3,
+    0xeaf04cc0, 0x45e04a06, 0xc883b293, 0x2688bf6d, 0x8aca9963, 0xaf34cbab, 0x59cded4e, 0x3f777556,
+    0x03b992d1, 0xc627e058, 0x1efe6f02, 0xb8adbe08, 0x26c6591e, 0x3f871276, 0xff8d789b, 0x210bc7b8,
+    0x8068a172, 0xcbf11273, 0x7bf84160, 0x33de4307, 0x1acb3943, 0x45759945, 0xeac7b164, 0x19f4e870,
+    0x715b5c15, 0xffa97a10, 0xb3b2ba80, 0xce56f4e7, 0x7ab3be00, 0xce45e006, 0x773c6848, 0x7a1ffeac,
+    0x9713ffd6, 0x0b783f08, 0x7b10a01d, 0x2744590a, 0xe9c5db7e, 0x32965eaa, 0x4192c583, 0x3f91a018,
+    0x35aad976, 0xe91b63d3, 0xd707faff, 0x35847b8a, 0xcba9b8e0, 0xd5e3b69b, 0xe901aae4, 0xa53aa4d5,
+    0x2dcb8d1d, 0x7bb54458, 0xc9e815ca, 0x6d32ff08, 0xa79437fb, 0x3688af51, 0xb8942d07, 0x6f866b82,
+    0x7ec46126, 0x61d61cf3, 0x19319bb1, 0x4479829e, 0x059e2a61, 0x34bc81d9, 0xcc204ee0, 0x68af8c20,
+    0x317c3663, 0xd1c1e6a5, 0xffb20838, 0xe4343b0b, 0x2ce51892, 0xf63518dc, 0x84fa3696, 0x937d240c,
+    0x800a6c85, 0xdc743208, 0xd8856854, 0x4e71271e, 0x3fa8916f, 0x93ecd3da, 0x12b82960, 0xbfb35dc0,
+    0x751bc4bf, 0x4815980d, 0xe5e11b2f, 0xf930af51, 0xbfcbf1f9, 0x37fcb136, 0x63de71bd, 0xb691eb19,
+    0x0d591a6e, 0xb2d85ad9, 0x658af0b5, 0xe5a25947, 0x0373aedd, 0x1794b257, 0xb7a3f75f, 0xcfd652e0,
+    0xdfc5496c, 0xc2473c2b, 0x2a48401f, 0xf73b8d6b, 0x49739419, 0x58286068, 0x8f938c15, 0xe1225c11,
+    0x22a970ed, 0xba38dbbf, 0x1298a5bc, 0xaceb7761, 0x96ac4f74, 0xf7731c05, 0x3ffed5af, 0x05cce87d,
+    0xcc4e2c48, 0x7aa77cb3, 0xd24e0967, 0xdf71c94c, 0x6bf2ff81, 0xc648c94e, 0x70a1ad67, 0xbc40f80d,
+    0x37ce48ca, 0x4262325f, 0x8a7a6bb1, 0x739f32b8, 0xba27737e, 0x638e3aae, 0x3e5976f0, 0x3b518900,
+    0xed8029b7, 0x5d556ce5, 0x810b79d3, 0x0f465d48, 0x1ae40b4d, 0x65474776, 0xcbab3287, 0xdf39f0b0,
+    0x57e9106c, 0x896f1999, 0x5de28846, 0x1cdc010a, 0xc0afb4b1, 0xf9a9a630, 0x73a1b06e, 0x8542ea7b,
+    0x928d4a6d, 0x9f661d5e, 0xbee38a11, 0x0ff709ed, 0x3c2aa47a, 0x3062dfee, 0x3d65bcbd, 0xa88a05f7,
+    0x15786ba2, 0x8863edcd, 0xf0f1b785, 0x6a60233c, 0xa187eb7d, 0x6c3a060d, 0x5be7261f, 0x5267f760,
+    0x8f352deb, 0xbae7bb33, 0x2304e652, 0x34fb5440, 0x81cff07b, 0xc660d32d, 0x5edbfe8b, 0xb3c04db5,
+    0xcd28801e, 0x5f8be924, 0x21b9c546, 0xc22287db, 0xf3a12af7, 0xe8a16807, 0x822f51c4, 0xb373fa16,
+    0xa5e9ab27, 0x65071471, 0x0efba0fd, 0xd68ff130, 0x857b685d, 0x533e80be, 0x35d87f5f, 0xb07f8bfd,
+    0x1ff6eed7, 0xe1cb37d5, 0x51693976, 0x15a846d6, 0x007a7a55, 0x217e1c2c, 0x0979027f, 0x1852b27d,
+    0xfaee0615, 0xd72cc825, 0x3291202f, 0x37aaaaed, 0x39600ae5, 0x5633b449, 0x34de3112, 0x4f5a1072,
+    0xaedb271b, 0x027acf1f, 0x775ea563, 0x40135513, 0xbb573164, 0x18564fcb, 0x005722e2, 0x3fd267a3,
+    0x0b134396, 0xc8435c86, 0x82a735ef, 0x4af58d35, 0x6d103f4f, 0x74f76b6f, 0x16f99b1c, 0xc91f605c,
+    0x011fedc2, 0x5351bc9b, 0x5dd84b70, 0x08752062, 0x61bd18f7, 0xb88118b8, 0xb7a0976a, 0x19d6f8c5,
+    0xdee52f4f, 0x8d510976, 0x157e873b, 0x5f05a3c6, 0x87713459, 0x2899dea9, 0x1981b942, 0xede9e6d7,
+    0xc2be6416, 0x0c6e1012, 0x9e79d60a, 0xe2a6949f, 0x213024e4, 0xd2a5bfa7, 0xe44596fb, 0x65cacb9d,
+    0xd2e66c43, 0x5b00625e, 0x9cbd4177, 0xf504023e, 0x333babd4, 0x6235806a, 0xc7c6fec5, 0xd88601b6,
+    0xade4cb05, 0x90832766, 0xc42420d6, 0xd80a67a6, 0x32b7f2c0, 0x5467a7a1, 0x45b27030, 0x86156473,
+    0x3ede3152, 0x294eb458, 0x907acd8f, 0xc72f939f, 0x0af7bd95, 0x9aa0526e, 0x855ac857, 0x59952c8e,
+    0x9e3715ea, 0xe9737446, 0xaa470200, 0xb6499821, 0x65f1da59, 0x1b654194, 0xc766fa62, 0x6f7957aa,
+    0x9f9b170a, 0x500b64fa, 0xc73fbbfa, 0x85076761, 0x25ae2636, 0xf8345498, 0x5796d7ca, 0xa440616c,
+    0x091f96fb, 0x0a63eb4e, 0xf9671e24, 0xaeb654e8, 0x5769c75d, 0x86bc3387, 0xefaaa16c, 0x12297078,
+    0xef4a4071, 0xbee85772, 0x5c5c5a2f, 0x2629855e, 0xd70601d6, 0x56f2dfef, 0x02d17252, 0xfbd08f56,
+    0xc78edadf, 0x51e5c58c, 0xc720d18e, 0x49a84f8e, 0x4542382e, 0xb87eeda1, 0xe6eb546d, 0x382f6fbd,
+    0x78854856, 0xa29d6517, 0x7096ec59, 0x05faa325, 0x6df768ee, 0x5a8ac376, 0x695677be, 0x4adbbce1,
+    0x64782022, 0xf765aa86, 0x650dc263, 0x046bcb85, 0x4f6c0bac, 0x18356950, 0x792e8106, 0x6d225163,
+    0x27fdae9c, 0xa19ef418, 0x203f7bbb, 0xebdb8441, 0x692a863e, 0x27526427, 0x39ccb7bc, 0x075191b3,
+    0x8703482f, 0x2a39cb4e, 0xcc9e94cf, 0x733fe2ff, 0xdc202762, 0xef77a777, 0x16648e46, 0x49de1948,
+    0x32e4d428, 0x889e9745, 0x809c4441, 0x871f2d10, 0x94b33138, 0x930984f3, 0xf3ec0cc2, 0xf7361c0c,
+    0xb2ca8399, 0xba07fe3e, 0x27e341ce, 0x6dc49e14, 0xf998c906, 0x19a331f4, 0x9c1bfd6b, 0x5f5c99cb,
+    0xeeec58df, 0xf34578bb, 0x9e3f9aff, 0x6dbcb14a, 0x99a3c333, 0xdacb89d3, 0x7221c9ea, 0xffa093a4,
+    0xd3188e40, 0x729f6cdc, 0xae00e589, 0xb862519e, 0x32ae61f3, 0xfce07d42, 0x95128c3e, 0x1c38bad7,
+    0x019ea8ca, 0xe60bc0ec, 0x4fa9b45c, 0xe570bfdb, 0x59f1753e, 0xa565199b, 0x5d2fb6b3, 0x1d63e1f9,
+    0x057cd675, 0x8710d73c, 0x702364eb, 0xad95a3fb, 0xc2ec5714, 0x4f1182e7, 0x1bfc63d8, 0x9b786890,
+    0x00000000,
+    0x43f7a774, 0xe1674199, 0xab2020b9, 0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a,
+    0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000020370359763344\
+                         86086268445688409378161051468393665936250636140449354381299763336706183397376 */
+  { 0x00000000,
+    0x2fca1a94, 0x75f4e6a6, 0xd719da38, 0xe2dcd400, 0xf41d7532, 0x74296c6f, 0x94876659, 0xd05aac53,
+    0xba4c1340, 0xa071a8bb, 0x5882a044, 0xc672b3d9, 0xe70a1a3c, 0x5670c79c, 0xb412dc56, 0x6e344c9b,
+    0x629f084f, 0xff471c30, 0x042bac33, 0x665e6bbf, 0xf101fe5e, 0x6a5f55ac, 0x887e4d8c, 0x80b4cbd7,
+    0xd6197789, 0xc3bd186d, 0xc682e000, 0x78c3cebb, 0xd5f5bba9, 0x8d5ea572, 0x4f1c3e03, 0x22cc26ac,
+    0xd3b88cf0, 0x7d52df81, 0x20284597, 0x9aabb833, 0x36230248, 0x86494465, 0xb2c2aa19, 0xeca4ee33,
+    0x626e986d, 0x392ed58f, 0xa0e2b0df, 0x26a1dc5b, 0xba9f8323, 0xfded13f3, 0x705a2a74, 0xa6c5b0d6,
+    0xe4fcb03b, 0x32c6a486, 0x637e2de2, 0xd10d4966, 0x481d6455, 0x4d659102, 0xd7daba6b, 0x60673dca,
+    0xc891cd91, 0x0ffb54fe, 0x2331bf7f, 0x789f0162, 0x50bee731, 0x75a81ae0, 0x0d50283d, 0x71c2784d,
+    0x11a8545c, 0xa5eda4b7, 0x2695efab, 0xc3f7a7fb, 0x6df867b3, 0xc79ff08a, 0x218dc3f1, 0x1b509b1f,
+    0xc1c67231, 0x8863bdb3, 0x0eb8f532, 0x47a4b06c, 0x54912a91, 0xf82278c0, 0x81c062a3, 0xe51b8ef2,
+    0x4daafbb9, 0xf564bf80, 0xa230144a, 0x38be72ec, 0x9af252a1, 0x92cc95f2, 0xf2f0b06f, 0xb5ec6f3f,
+    0xfc7e83d0, 0x11d5132e, 0xd1538275, 0xf677fb58, 0xbcaddfac, 0x7de2bff0, 0x51938090, 0x989d3203,
+    0xcf2755a6, 0xbea4b448, 0xc1742a91, 0xb44b690c, 0x8ddf1ac1, 0x9d925fba, 0xf6c19b62, 0x72e0e498,
+    0xddbfa356, 0xc341acbd, 0xf1865ed1, 0x52eda086, 0xd9fb59a5, 0x92561842, 0x7cde5e48, 0xc7c48b4b,
+    0xb1bfd2e8, 0x41b4f008, 0x1b577bd7, 0xade8b7f5, 0x0b13fd4d, 0x38a344a0, 0xf0bda46c, 0x4d9e6ccc,
+    0x614837a2, 0xc2e0b349, 0x7911daae, 0xc6d69ac1, 0x41d9772d, 0x26e9ba96, 0xb95a3d1f, 0xc214e12a,
+    0xde4e1de4, 0x03664cff, 0x420a3ab9, 0x067ef0ad, 0x286df384, 0x510ca0c1, 0x0d012666, 0xb9b28559,
+    0x59d9c5c2, 0xb385236e, 0x0e39ef3e, 0x9432b532, 0x6ee2e0ef, 0x66f3e3dd, 0x47505770, 0x0506e678,
+    0x59fa5223, 0x818daeea, 0xb5b8b995, 0x9115211a, 0xefc59328, 0x7711035a, 0xb17e705d, 0x36e586fb,
+    0x8c0b090e, 0x79f60310, 0x7a4ae506, 0x2ee884db, 0xa8ceffb9, 0x4e8cae69, 0xb789df7b, 0xe8f52662,
+    0x98418f49, 0x14c00196, 0x56768384, 0xca4650ad, 0xc3616bb6, 0xc63b09ef, 0x41e7ced0, 0x4b05a6e0,
+    0x87427ff3, 0xe27e8aef, 0x74b606c8, 0xc1542984, 0x681bdb3c, 0xf89d066a, 0x0b74ab06, 0x98207193,
+    0x61fb48bf, 0x8d6a7515, 0x874668fa, 0xeff81a06, 0x5567d2f4, 0x3b9e4318, 0x49e05e5c, 0x58e6f855,
+    0xcdeb6aef, 0xc2275535, 0x9064c91d, 0x2185356f, 0xd7795747, 0x81c8484a, 0x786e461d, 0xdc5ff9ee,
+    0x0c0ac564, 0x8fcd293c, 0xbe143b9d, 0xd2a36bb0, 0xafbda476, 0xa2d2f944, 0x4ceb6507, 0xa40890d2,
+    0x9f0cde76, 0x52404210, 0x73dc062f, 0x3fe861c8, 0x263bc20e, 0x4983c0da, 0x98ed52da, 0xb6643e6c,
+    0x8843640b, 0x5de78ffa, 0xe671aa14, 0x33b020de, 0x4ca2f9de, 0x7c88b23d, 0xf27f622a, 0xc345e86c,
+    0x388df14e, 0x2167712b, 0x48c995c9, 0x88fbde99, 0x40f40dca, 0x23288607, 0xa99ae531, 0xa64c6be4,
+    0xa6be794c, 0x4dec1a39, 0x7550e3d5, 0xab9ffa40, 0xfef33e8d, 0xd78e5b9e, 0xa4927065, 0x5ef20f24,
+    0x5a04e466, 0xadc2e244, 0x1ce4ce45, 0x02da7a10, 0x99b027b8, 0x2bd827f5, 0x3cc69e9a, 0x9bf5b1ce,
+    0x8afa7d8f, 0x3977efc3, 0xb145ab93, 0xdd903bf8, 0x72a260be, 0x257653b4, 0x08dd603b, 0x792cb585,
+    0xf8943189, 0x9608c4e8, 0x559e2de1, 0xc6d26e6a, 0xdd4671fb, 0x11747518, 0x24899b3d, 0xc0d9fc1b,
+    0x8a8bebf7, 0x8f09749c, 0x4ea39348, 0xb151aed6, 0x17f5f40c, 0x3d498b4b, 0x1ba531b9, 0xd84f2034,
+    0x22ed9d07, 0x97390826, 0x2ad13f07, 0xdf28066e, 0xe9141412, 0xf2e9b200, 0xc43a2747, 0x80e69310,
+    0xc22a5989, 0x956dabf7, 0xff6480d2, 0xd16a17e2, 0xf1733968, 0x8d23738d, 0x06a38a29, 0xa7237772,
+    0x487cec4f, 0x43985cf5, 0x6f7d0701, 0xf96badce, 0xb2020546, 0x156e560b, 0x7fd5732a, 0xfaabc7da,
+    0xb8a5043c, 0x45001860, 0xd325bba5, 0xb40bd652, 0x38e1201a, 0x8d52a8fe, 0x504762cc, 0x1e60f20b,
+    0x3562c0e6, 0x4fcd1593, 0xae8f6476, 0xd4c2cc65, 0x23cca597, 0x05f569ed, 0x0c7a82d6, 0x41214ff1,
+    0x724096d8, 0xce723ec8, 0x984fb6df, 0xf33d01e4, 0xa74ed61f, 0x9a2f928b, 0x37fa3a7e, 0x11de19ed,
+    0x6aef04c7, 0x2a79b601, 0x604733f9, 0x64152ec3, 0x15665050, 0x13c6fc7e, 0x98c1e319, 0xfed25d79,
+    0x6a48262e, 0x24d79bb9, 0x00754f2f, 0xc6c16234, 0x32335d16, 0x5b75c94e, 0x9604ff19, 0x6b3c6ad3,
+    0xac893bb8, 0x4b50f2e4, 0x681d4d13, 0x1dd1f628, 0x9fc831ac, 0xfd870f14, 0x174fb31f, 0x0cd3416d,
+    0xa1dd08f3, 0x5f6d1a3d, 0x7d45a994, 0x07b0b769, 0x0cba4c5b, 0x6d04f616, 0x439ad012, 0xe70bf51e,
+    0x3aeec4c1, 0x734c8ff5, 0xab4cdf18, 0x6b3c4d52, 0x63971ba2, 0x78122cf6, 0xc44f9336, 0xf29f3ce7,
+    0x8e1935a6, 0x6ec5c057, 0x5b43950d, 0xb161f431, 0xc2e6f6ea, 0x234f51bd, 0xfe4c23e4, 0x57c741a4,
+    0x872bbfde, 0x2cea619c, 0x63a05cc3, 0x7822274f, 0x39f87432, 0x6a2b3e60, 0xb4fd9713, 0x8f1b9f43,
+    0x1f545692, 0xafdcc523, 0xdc3a1690, 0x737d1d8a, 0xf2a4d2d0, 0x8452efb3, 0x0a076808, 0xa786c43e,
+    0x66835145, 0xe54f4e7e, 0xfea6f9da, 0xa576e66a, 0x1b70e410, 0x900b6bdf, 0x013d8195, 0xa12305bf,
+    0xaae4392c, 0x9476726f, 0x2ed0bcde, 0x629cdb56, 0x91bc5758, 0x282aa366, 0x3f9f7894, 0x8f225f1a,
+    0x99d924f4, 0x041ae86e, 0xe90fde4c, 0x7596da85, 0xcf887427, 0x1ed533fb, 0x7736e420, 0x99093a6e,
+    0x659c128a, 0x65c2089b, 0x3384335d, 0xfb9af555, 0x2797f6a3, 0x9ad0d57c, 0xcf6b600e, 0xbfa76c52,
+    0x0c5fa97b, 0xce523236, 0x1b67304f, 0x76adb1bb, 0xa0842796, 0xa3cdfd95, 0x1e2fdc22, 0x030fe432,
+    0x1278fa90, 0x9ce1187b, 0xa409b4dc, 0x59f1eee8, 0xb17d6c50, 0x145b873b, 0x06ff71b2, 0x184a01c4,
+    0x5b4135d0, 0x46dcab2d, 0xa3e37488, 0x697bec46, 0xbed56eff, 0xa7f6bf51, 0x6ee0c154, 0xa5e5c843,
+    0x88ac00f0, 0xe45a32b7, 0xd072b7b1, 0xd78fba22, 0x9d2b1f0c, 0xfdad4897, 0x02f8b686, 0x2d8f02bb,
+    0xabdff63f, 0x1975129a, 0xb0ef5540, 0x64c6b361, 0xdb6cb3de, 0x5f633455, 0x0da96a12, 0x7145783b,
+    0x7d47b138, 0x7bcf6518, 0xb5e36a9a, 0x3636e7ef, 0x86c62e6c, 0x5339487a, 0x4da590fd, 0x81b2eb3d,
+    0xa71ca846, 0xf62c16d6, 0xcbe43f04, 0xf499e996, 0x5cc7e3da, 0xdeb1c415, 0x8a18eebf, 0x933ae2b3,
+    0xb5ef2d4d, 0x23d1ff40, 0xc88afe3c, 0xc79d428a, 0xd6645334, 0x53e8762a, 0xa3eee7f3, 0x11108990,
+    0xf4f01d06, 0x24964a0b, 0x7fbe1b14, 0x1d00bf9a, 0x5dd24a84, 0x95dd1164, 0x15c12fac, 0x211b2c27,
+    0x46c55635, 0xcdab99a8, 0x2af93620, 0x0a50e54a, 0x2ad7477d, 0xafa63a01, 0xa58ee073, 0xa4127825,
+    0x4570529e, 0x16707977, 0x325cac37, 0xdf3a5ad8, 0x8eab0d59, 0x44e50b28, 0xaa382fe9, 0x1158a4c2,
+    0x47d1d91c, 0x3c856070, 0x5eb06fcc, 0x6ccae997, 0xee691414, 0xdb59f23f, 0x4a5a322d, 0xa71d2c5f,
+    0x1d719a43, 0xf273b414, 0xa57ff71b, 0x626f7946, 0x9af5dedc, 0xe092ce7c, 0xf32013f7, 0xc667753a,
+    0xbab45759, 0x081a289c, 0xe5434db3, 0x03b524c0, 0x89364b4e, 0x19c84df4, 0xd0e6951c, 0x2b63f681,
+    0x0d139d0d, 0x0e4254f9, 0x7c5ab3b8, 0x94eb517c, 0xed007b7b, 0x4c3dcfb5, 0x3dd766e0, 0xd4bb95f4,
+    0xbfaf4ffd, 0xece4a37e, 0xbda9514d, 0xb714b4f4, 0x60036b5b, 0x0e1cbdec, 0x420f19fd, 0xc4bef8b8,
+    0xbda5abf1, 0xe30f7e6b, 0x16e0187a, 0xaa6b1ea2, 0x910e2bd6, 0xf4fef629, 0xd570271e, 0xb414485f,
+    0xde8a5ec6, 0xa93b4bf2, 0x1510c2c9, 0x5ee704f9, 0xbbbdb61e, 0x3968adad, 0x6c83f7c3, 0xd8763239,
+    0xeab3e1d8, 0xcf2dae5a, 0xee6d3acb, 0x7c07a7fe, 0x952c1a9a, 0xbed2f7a1, 0xed892f1e, 0x7afbce63,
+    0xbb22e5a3, 0x85007d3e, 0x33927680, 0xe09a17f8, 0x95e7760e, 0xbf7dc612, 0x29e5ab0f, 0xec218ea4,
+    0x604a046e, 0x386eb03e, 0xfc7edf89, 0x6ccd6146, 0x7718382f, 0xaa28575a, 0xde5fff7b, 0x744a9f82,
+    0xafb7c1cd, 0x0d8e87a7, 0xa781e53c, 0x63064694, 0x838270db, 0x38b83b61, 0xecc561df, 0x23ac02c1,
+    0x2750de48, 0x9625d903, 0xcbe4f822, 0xf207df94, 0x9091fba1, 0x77700092, 0x554cb47a, 0xb34dcc29,
+    0x8fb6001b, 0x2324205e, 0x00ba77c3, 0xa93c8ccc, 0x2cedb6cc, 0xe2a6991e, 0x566e8dc3, 0x9d4d6d52,
+    0xb9fe608c, 0x669aa8ff, 0x16265140, 0x420a389e, 0xd9ba1912, 0x381c3783, 0x4bce7257, 0x8dc248f2,
+    0x971ca27f, 0x366f14aa, 0x193cac60, 0xeab59614, 0x78ada296, 0xfd076bae, 0xe14e07fa, 0x7f4f5595,
+    0x4e4d2e66, 0x1ba42621, 0xd38d92a3, 0x79242849, 0xdebd2301, 0x4f11ad4b, 0xc527d141, 0xfe8c9e91,
+    0x8e99eec1, 0xaa2be5f6, 0x69958290, 0x56bdb8df, 0x36d1ad2f, 0x05826b38, 0xc524a51a, 0xcd4df4a0,
+    0x6370388b, 0x03537bbd, 0x34ba02ce, 0x2dbd6f93, 0x659ccf7f, 0x29880dc6, 0x4a1c0f8c, 0x98f644fc,
+    0x11ea76c5, 0x0af8ab80, 0xc7df82ca, 0xbe7da68d, 0x818a1f08, 0x7b6a2359, 0xf49b6aad, 0x226dde66,
+    0xe1b6003a, 0x57e10561, 0xee38e73e, 0x3a0423b5, 0x2eba0703, 0x49c27ad8, 0x5a5b34f3, 0x2f271c73,
+    0xbf65cb57, 0x30ee353f, 0xa1e17bb4, 0xe4c186f2, 0x6b696840, 0x7c9c0c0e, 0xab2185d1, 0x00ac4e65,
+    0x93fdcb84, 0x7ba65bae, 0x73d0e4cb, 0x6ab4bbbd, 0x1718c0df, 0x2433592f, 0x6e083b1e, 0xcfbc5fd9,
+    0x2e069bd0, 0x3992ec61, 0x1e532d19, 0x313bd505, 0x72078a68, 0x95be8161, 0xf36c1731, 0x147f55a7,
+    0x76d07254, 0x78236c3a, 0xc8a9542e, 0x450ef682, 0x6811dfb8, 0xe5ce6258, 0x28f705f0, 0x1cb34c57,
+    0x431a0201, 0xfa6f51ce, 0x9af6a488, 0x108f561d, 0xea82aebb, 0x32727de5, 0xdbedcd8e, 0x0dad587f,
+    0xd2b63d36, 0xc5bd93a4, 0x32c5d913, 0x069e9e73, 0x69322c56, 0x9967dca5, 0xf2ddb19a, 0xda0a32e3,
+    0x49b7125c, 0x954682b6, 0xe75705e3, 0x4c9d16b1, 0x1032d1e2, 0x97c4e866, 0xa4fa3363, 0x2c1686ac,
+    0x545cbedc, 0x7b3bace2, 0x1b4743a0, 0xe55ff2b7, 0xdeb4dfe7, 0xb7bdbab8, 0xdc812336, 0x321e3d20,
+    0x5cceab44, 0x88ba49b4, 0xd975d60b, 0xb58a8b5c, 0x85a9546c, 0x1e86c1da, 0x344417e9, 0x8dcd8595,
+    0x61381209, 0x7a827708, 0x0f8dc14a, 0x93408666, 0x7c266dbe, 0x98e14c68, 0x1c144446, 0x1e15ca64,
+    0x91650603, 0x199fc74c, 0xdb71e3fb, 0xf680b715, 0x939e1a1c, 0x398010ad, 0x99323c07, 0x05363069,
+    0xe79c4c86, 0x264b8a49, 0x7426a905, 0xffdd09da, 0x95d79972, 0xe21efeaa, 0x97a786d6, 0xa77ccc48,
+    0x950ed6b9, 0xc01c7933, 0xe949c8bc, 0x6afb32c2, 0xe700c333, 0x4c09691d, 0x3c474211, 0x30b442a6,
+    0x1f1a6d4c, 0x795c3a3b, 0x690994e1, 0xc310e5c4, 0xc5e887ec, 0x5c935465, 0x3a87ed0d, 0x79ad5623,
+    0x5b8cf380, 0xc3758c04, 0xeccdff93, 0xaac5c2eb, 0xc6ff7301, 0x26b83472, 0xb556aa08, 0xbe76e83a,
+    0xc860d470, 0xda4c23f5, 0xbc454641, 0xb75e664f, 0xa28a5986, 0x7bc53ba2, 0x82632fb3, 0xd016b693,
+    0x27957fe7, 0x4a477dc3, 0x2d32651b, 0xe9a9367a, 0x42a0e1bd, 0x58e552b4, 0x28d257a5, 0xf8308783,
+    0x6e482027, 0xe093c7c0, 0xa82f4b00, 0x41b39bad, 0x4d41c263, 0xa759dc4f, 0xba4c706c, 0xfad8322e,
+    0x13c8ebcc, 0xfd26bd7f, 0x0b992897, 0x0263799c, 0xd8a4f39b, 0xb158c23e, 0x96ae77a6, 0x152f1073,
+    0x33225599, 0xb75400ac, 0x5f0c8f22, 0x02652c31, 0x90c4025d, 0x0f1c73d1, 0x4c689f1e, 0xc8f96dce,
+    0xa4447aa7, 0x670eef9f, 0xab91835d, 0x7eb6f9ee, 0x10b9ec2a, 0x5640e9c6, 0x4ef87448, 0x4276605e,
+    0x7f48b079, 0x2cef9268, 0xcb51d874, 0xa379d6c6, 0xed796d7c, 0x8534d5b8, 0x70cdcf1d, 0xf4cd4516,
+    0x952312e0, 0x0acb2f86, 0xba099393, 0xac768146, 0x1d8f1571, 0x0a6a23bf, 0x53b47e94, 0x0f280d2a,
+    0xdad0d553, 0x67f24efc, 0x5da56b18, 0x230e9d5d, 0x4b458cf2, 0x52a3fd06, 0x354ab059, 0xf52bc5cb,
+    0xd434fbac, 0x5f62f7ab, 0xa73c1bc0, 0x625a5109, 0x180018d8, 0xc6d393a7, 0x648aa844, 0xc59a1a54,
+    0xebaeb8ea, 0x3b475a9d, 0x00a7480b, 0x0e677263, 0xd3bc8d52, 0xb3da3f95, 0xed7aef9a, 0x4f991c65,
+    0xd648947a, 0x8cbf0163, 0x1868a6bf, 0xeecb1337, 0x900d79c0, 0xb5fe4b3b, 0x614836b1, 0xdf35dd21,
+    0xe4796862, 0x109c7e88, 0xad32bec3, 0x16635409, 0x4f09c535, 0xc5daeba9, 0x9371e876, 0x79040ad0,
+    0x8a6f556c, 0x7c1df091, 0x46447637, 0xe87ee050, 0x59475da2, 0x18d89005, 0xfc4f8615, 0x1f1524d1,
+    0x8e73725f, 0xd6313516, 0x3c7b4844, 0x3ee2d7f2, 0xcfc9cc15, 0x826be59a, 0x65c99f4c, 0x821d3c58,
+    0xbb46daf4, 0xbc599168, 0x0a52d76b, 0x0d06c275, 0x378cfa86, 0x02c10a73, 0x03e4fff1, 0x9a090705,
+    0x2956e7d0, 0x0b75bc2b, 0xe5a2a86d, 0xac87c03d, 0x3b6f8b40, 0xe9ea7f30, 0xdef9f98e, 0x1084ef4d,
+    0xc488496e, 0x7b834be7, 0x77841018, 0xd9b1875a, 0xc014c25d, 0x14c623dc, 0xedd23026, 0x03dd756a,
+    0x0b32cb78, 0xaedbf844, 0x6398e42c, 0xfe861403, 0xfeb95b08, 0xb45a4ff1, 0xf68061a2, 0xf0680213,
+    0x78bb7e3d, 0xa1eef7d7, 0x9cfc4c15, 0x572bd3e7, 0xcb110cdb, 0xcb29e78c, 0x3ddfd42d, 0xe651a7b0,
+    0xcaf537ad, 0xe495f6d6, 0x3898e39f, 0xfc70eb73, 0xfa5fd30c, 0x329bf388, 0x3a43afff, 0xc17cd30a,
+    0xdb0787db, 0xd0e07610, 0x87bc985b, 0xa9e7ae29, 0x7bf75503, 0x418ffa0b, 0xaf9eaa75, 0xc1b8fe6b,
+    0xf946c70b, 0x7f5b0c60, 0x1437ab98, 0x9670be6b, 0x14db0d39, 0x3951fbb2, 0xa971a018, 0x23da1c82,
+    0x02f6495e, 0x3158e52e, 0x2f72a811, 0x9d5cab1f, 0x2f999e86, 0x61ac47a1, 0x7bf89444, 0x59b5e38e,
+    0xd0ccf71b, 0x647609f5, 0xbb1ebb32, 0x48b7d772, 0x2320c34f, 0xbb8fa5e5, 0xbdf133fd, 0x8e7ec953,
+    0xd5374c2d, 0x477a4bea, 0x832e239c, 0xa489c836, 0x4ca3444c, 0xb0dc40fd, 0x37c8da92, 0xedfd98f5,
+    0xd1243c3e, 0x636c83f9, 0x806ecdac, 0xa2ad86af, 0x21a5de1a, 0x866f8c73, 0x6a0646db, 0xb8496859,
+    0xda9b1b38, 0xef31f0d3, 0x4eec449d, 0x8f927f25, 0xba9e7093, 0x371fb041, 0x249556e9, 0x943b8ec1,
+    0x2841fef1, 0x7423d5cc, 0x6a96fbc9, 0xaf2860ad, 0x1d7bd0f7, 0xb37b53c2, 0x7ac3bc77, 0xc7801a06,
+    0x00000000,
+    0xa1fbd3b9, 0xf0b3a0cc, 0xd590105c, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925,
+    0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000010185179881672\
+                         43043134222844204689080525734196832968125318070224677190649881668353091698688 */
+  { 0x00000000,
+    0x7ad6a384, 0x0d8bd2b7, 0x59cb8815, 0xc1105327, 0x5f57de41, 0x9549ae07, 0x584a513b, 0x4556fd5a,
+    0xa66ddffd, 0xd5822a55, 0xf2499de3, 0x8453b6c8, 0x172be622, 0x7c03ca2e, 0xc4942e43, 0xd6979d23,
+    0xbdcb4b35, 0xd0a98163, 0x2ea09a46, 0x1bd139f7, 0x796804ea, 0xadf79e84, 0x1d8cb608, 0x0136b2ba,
+    0xf4250c62, 0x83dd72f7, 0xe0a05327, 0x5f15055e, 0x693dbf03, 0x778ec436, 0x437fc8cc, 0x6fcd0c07,
+    0xc35a3800, 0x34c8a48f, 0x7983396d, 0xb1c36c09, 0xd085a237, 0xe0317bbf, 0x4d58c8f6, 0xcbac1170,
+    0x9295b94e, 0xb01b8fbf, 0x1d70d314, 0x7551c8d0, 0xdb799b93, 0x410c2d26, 0xeb62ee5f, 0xeb640b0b,
+    0xc8f164d7, 0x68456bc8, 0x2ac95c84, 0xe69a4046, 0x03f054de, 0x88eeaa5e, 0xe70ed0c3, 0x0f933f41,
+    0x2abc6124, 0xc78f0458, 0xbfefa358, 0x993f63b1, 0xb3df1e58, 0x8931a843, 0xd3fa2f8b, 0x3bdccb43,
+    0x3d776ba3, 0x15d8fb0c, 0xa733187b, 0x7828796d, 0xec5968bf, 0x6dc84c90, 0xc7d621c4, 0x956ef25a,
+    0x33ee97e7, 0xd8b11042, 0xc3a1ff1b, 0xc56aa33a, 0x6f97f3a2, 0x6848037c, 0x61f4777c, 0x50f4c352,
+    0xf1a160af, 0x99fee381, 0x482f7672, 0xb00bd640, 0xf186de56, 0xd113758d, 0xcf4764a5, 0xfe975ffc,
+    0xf5c6fe62, 0x2d86a4bc, 0xf01f794a, 0xb92bb4db, 0x10bfce3c, 0x891275e1, 0x831d6f86, 0x17fd34e6,
+    0x52de5a3d, 0xfa84bb96, 0x857eb8cf, 0x2d4332a4, 0x202dc616, 0x00cd3938, 0x450b1d8a, 0x0c8a88cd,
+    0xe98cff98, 0xafe1d9f8, 0xb140e64c, 0x134367e0, 0x8131de11, 0x40aec73e, 0xeb0748e5, 0xd8f62368,
+    0x7a301f5c, 0x08ab0d44, 0x6f73b7ed, 0x873af52e, 0x54405b6a, 0x1d51a240, 0x33dfb911, 0xc71518f3,
+    0x7dd60861, 0x0c1b518d, 0x095efde2, 0x1303a092, 0x07fad067, 0xa932862e, 0x0a460695, 0x2f24af0d,
+    0x150f2372, 0x0d0ad35d, 0xd7b0af9b, 0x83c2ba6e, 0xd6689074, 0xf89c77e0, 0x8c0900ab, 0x319c8486,
+    0x4641b30f, 0xdf1a0eb3, 0x88f47f8a, 0x0d2468cc, 0x2054036f, 0xf0c7f212, 0xc85af370, 0xb15a06f3,
+    0xecce3cd8, 0x3998c14e, 0x3e449dae, 0x5b9cd2cd, 0x3d315b1c, 0x250b6d9c, 0x08a7a9bf, 0xabd9f391,
+    0x80f64600, 0x6b561d00, 0x08737c8d, 0xcabd4c79, 0xdbce0539, 0xd24f4998, 0x6349b80f, 0xf90d295f,
+    0xce37e0db, 0x2138741e, 0xfce3bdcd, 0x518c0229, 0x2c56d39e, 0x6346a4c4, 0x151e7cdf, 0xb5fe1c3a,
+    0xd1795b48, 0x696dae38, 0x4eb5ab28, 0x6ee2c030, 0x0161a5a9, 0xf9c84974, 0x9c57946a, 0x73ef6fe2,
+    0xb0fdef9e, 0x909a6082, 0x8a535b9f, 0x8f277d54, 0x3ef0343c, 0x6ca92ecc, 0xa8cb24a3, 0x4f63d5f3,
+    0x6bf0d540, 0x66086fd4, 0xd65ab27f, 0xee265084, 0xd4bf36ad, 0x6274c7f2, 0x5b2c4ee0, 0xa6d90b55,
+    0x85426c7d, 0x39520109, 0x2be40bce, 0xc0df2769, 0x36196b67, 0x91f0c1be, 0xd6de7d5f, 0x9910d2d1,
+    0x6402d3f9, 0xfde0938e, 0x295497c5, 0x7a0dccca, 0xb5dd1d84, 0xe8389564, 0x0095fb7a, 0xd5a14915,
+    0x3d3312a9, 0x825b2369, 0x898b29e1, 0xc9fbbbae, 0xff09d741, 0x4a7fe91c, 0xbe1d6db6, 0xe08c403a,
+    0xf01e0e85, 0x508f7e8b, 0x275938f1, 0x674635fd, 0x40d4fdf0, 0xb6cc5575, 0x3032b511, 0x76ead548,
+    0x5a882ccb, 0x4b3970bc, 0x171f0efe, 0x3006adc0, 0x96340662, 0xa4f11d4c, 0x72e87796, 0x50dba342,
+    0xc1b2d810, 0xc1780a92, 0x3641784d, 0x61482920, 0x97014636, 0xffab4383, 0xf4866213, 0xbe336007,
+    0xbc2651d0, 0x2c736c54, 0xdf770e21, 0xb71e8624, 0xcf74a2d0, 0x0650fbec, 0x421e45f7, 0x99424a44,
+    0x9007b646, 0x1f5b5827, 0x62d49fbc, 0x84d186e1, 0xec60475c, 0x9c4c9e33, 0x63bff902, 0xd23ddb3f,
+    0xa65b87f6, 0xc6c219ad, 0x9a04eca6, 0x8343aeb7, 0x3cd3610d, 0xc39cba3b, 0x4d49ec49, 0x4a8c19a7,
+    0x9bfb5461, 0x9d2d4ba1, 0xd5dc4bd5, 0xf1533e0b, 0xcae0ef3f, 0x2e57a996, 0x1ed56148, 0x9dfe1563,
+    0x01fd2eac, 0x12a5c58c, 0xc87dca27, 0x3d3d1885, 0x1f94c322, 0x55d3bc9e, 0xcaf9eb66, 0xbb65cfb3,
+    0x4ffb40dd, 0x69bb3f70, 0x2c790cee, 0x1ea251fd, 0x025e3e1d, 0x6ab84e8c, 0xa0d155ee, 0x1104900a,
+    0x28867f44, 0x3dd7f304, 0x3ae0ca1b, 0x24394a10, 0xd6aaecd5, 0x936422f5, 0x00de4b37, 0x93c71e65,
+    0x00050212, 0x3ca3a586, 0x6e2e7cfd, 0x6deecc6e, 0x3b3f94b9, 0xeb45fed1, 0x25c54e96, 0xf69c1fc7,
+    0xb3111448, 0xdd0f0351, 0xc5d7a886, 0x09096075, 0xce90cb65, 0x41b338c8, 0x2f8800cd, 0x878f6887,
+    0xd65f1d6f, 0xce77bac0, 0x0b8cb5b8, 0x7dfa0885, 0xb54e26c2, 0x5acafdd0, 0xb3ff1904, 0x4e0d69ee,
+    0x9820d8e7, 0xb47a027e, 0x084a781e, 0xc9f7b391, 0x46226352, 0x03c62270, 0xa7656c18, 0x234cfe25,
+    0xd0399fa7, 0xfdc0345a, 0x7ee2463d, 0x22c11353, 0xeb5e3d66, 0x11e70fc5, 0x6516e1aa, 0x9a040b7c,
+    0xa9571b85, 0x25bc454c, 0x94f338a0, 0x50efba2a, 0x8921f351, 0x5c100a16, 0xc7bb18fe, 0x0d11bec5,
+    0x8f882a93, 0x20379b07, 0x46205d04, 0x999b749c, 0x86fd992b, 0xa9d29501, 0x2b691b24, 0xedf35137,
+    0x938a62ab, 0xe971fac3, 0x94e2c3a1, 0xbc7ade40, 0x712bf9cb, 0xdaaef8b5, 0x0920e953, 0xb2b10e86,
+    0xf3cbec12, 0x9a916b4f, 0x8085c420, 0x5ec9d427, 0x4e50474b, 0x7b6f4853, 0x596a410a, 0xa1e51570,
+    0x421648f9, 0x855f0687, 0x14beee91, 0x2687af0c, 0x63a1649b, 0x65b8d8a1, 0x97d59a0c, 0x4cce59de,
+    0xc2c14c94, 0x250ee829, 0xe61c5447, 0x3e0fc0a8, 0x7f4248a0, 0x280434c2, 0x4b9bccb3, 0x6d499a16,
+    0x934afc56, 0x1066b269, 0xae80e7ec, 0x8479c1ad, 0xfff94c7b, 0xc2314937, 0x28fb7c83, 0x61f6c2ab,
+    0xc4381162, 0x4a2954e3, 0xf44d19cb, 0x4ad60e2c, 0x45e77ccd, 0x33d52297, 0x812fd019, 0x90eb2038,
+    0x9baad2dc, 0x2f4b1f9e, 0xf14db86c, 0x7b72dee9, 0x5d3f1062, 0x8786477e, 0x5057b51d, 0xcfbea695,
+    0xf18d7578, 0x82351918, 0x2d7ab157, 0x071cfc3a, 0xbdbd0dc4, 0xdc366c09, 0x7d7ace8a, 0xfae92933,
+    0x601ec22e, 0xb14fce23, 0xa6b19a23, 0xddac04fd, 0x4a4c5e4f, 0xc296dae0, 0xaa3a99b1, 0xe278126f,
+    0xde6e04b6, 0x68e808b9, 0x9158056d, 0xe448a549, 0xfac953ef, 0x68826d93, 0x71274f5a, 0xb6efcfdc,
+    0x35ef8b31, 0x146297ee, 0x8517a5b4, 0xc27e5cd0, 0x457613e9, 0x7fb13db3, 0x8868b3c3, 0xdf301aa7,
+    0x2b6df9b7, 0x37a44873, 0x04a0e5d4, 0x94acc831, 0xa2caaba5, 0x887c1692, 0x49e22e7b, 0xf718702b,
+    0x19bb9108, 0xeb519886, 0x69f4d7c0, 0x6063d66a, 0x9bae9e8b, 0x7c2c108e, 0xadc63c21, 0x0e26a0a9,
+    0xe50d40c8, 0x96effdf9, 0xc3e1e40b, 0xf4d1d84f, 0xaca62431, 0xed9d6937, 0x26843b4c, 0xa6dcc32d,
+    0x8a008e25, 0x655c4562, 0x95319bd6, 0x5a91194a, 0x139bf7cb, 0xfaaba8c0, 0x8a8553a8, 0x29192f9f,
+    0x775af736, 0x088184a1, 0x5af12da6, 0x5b82835e, 0x265ca26e, 0x9f3933fe, 0x6ff9a67e, 0xc1c9f228,
+    0x49263109, 0x4f2c2091, 0x95a78d1c, 0xa9c4e169, 0x89c90d9c, 0xf40a1bd5, 0xc12bc708, 0x0544865d,
+    0x6a6c588b, 0xd046e557, 0xe037bee7, 0x97d82766, 0x5b1f9d5b, 0xaf1ec7ce, 0x41311b69, 0xe5095514,
+    0x55d5360b, 0x5a0bc849, 0x3bfb961f, 0x7e42c77e, 0xe527ff92, 0x37421d1d, 0x8fe2eba5, 0x8d26eadf,
+    0x5f4c676f, 0xdee82641, 0xa01a7173, 0x65244f3a, 0xd3049f08, 0xa84cded4, 0x3e9ba1b6, 0xfb225539,
+    0xe3b4cdc9, 0x70103615, 0xac35beae, 0xc51f482b, 0x8ab345e6, 0xcb8ff02c, 0xc9ad8b89, 0xcc638835,
+    0xba913e85, 0x57ae99e7, 0xfa9a072c, 0x042fac23, 0x1cb1216e, 0xb681ee76, 0x8811393a, 0xb32b4887,
+    0xecf05b87, 0x9e1e7ee4, 0x8755fab7, 0x2c2016f9, 0x821ac312, 0x54370cc1, 0x67c935ca, 0x173ed30f,
+    0x99db742e, 0x1d7ce29b, 0x6d890bb9, 0x3f3af6b3, 0xe001b671, 0x1e61ece1, 0x24f60b42, 0x3ac93adf,
+    0x2a269b6f, 0x5cc29dba, 0xeacbfc85, 0xf06cdc41, 0x0aa47d38, 0x71d98bd2, 0xe164774f, 0xccdb7e99,
+    0x7f142b42, 0xc2c90c81, 0x9436d481, 0xb2615e09, 0x27a218a7, 0x10583913, 0x525fd7d1, 0xb40c79c5,
+    0x528efcba, 0x499704c8, 0xb93cf480, 0xa723f2b7, 0x48beaa6b, 0x95c300f9, 0x1ffa904f, 0x752ab04a,
+    0xecb9d5ff, 0x5216cf5a, 0xe63aebbe, 0xf2e19bbe, 0xa8407386, 0x889f8040, 0xd2e8cfb8, 0x220d6f87,
+    0xa2063b5a, 0xd32ae827, 0x18eb925f, 0x24d08987, 0xc57751c6, 0xc1bf0b66, 0x57164f64, 0x14a8b218,
+    0x4f1e6b2a, 0x88c2043e, 0xc8162fa9, 0x666c0ab7, 0xc862459b, 0x5615c9d1, 0xf7b3cf25, 0x5dc0d193,
+    0xd21b1e43, 0xb8192e60, 0x28d5ef5e, 0x27a294aa, 0xca343d37, 0x8250748d, 0xfb705402, 0x397ff033,
+    0x02223eb3, 0xd9c9de95, 0xaeafc50a, 0x882b4bda, 0xa8a1ae5f, 0xb6a4821d, 0x3b022fe3, 0xcf938532,
+    0xe4011239, 0x88bc56d0, 0x7b02bff3, 0x2792d305, 0x34d4966a, 0xff32377f, 0xc7d6e314, 0xc3435a51,
+    0x6ffe61c0, 0x9c5387e3, 0x3241052a, 0x296d2e0e, 0x13e5ec15, 0x9eba3d41, 0xdf89f031, 0x2b97455e,
+    0xfdb7c70e, 0x652d6263, 0x4129cb6b, 0xb7bc92b9, 0x9e5f42b6, 0x705cfbf8, 0x70665671, 0x78ca8b9e,
+    0x28e7c495, 0x0cb6a165, 0xc2f5f4a3, 0x3723f33b, 0x948ab492, 0xdf10a319, 0x6f7a1460, 0x3c26ae5f,
+    0x4cec993c, 0xd0402e62, 0x4ba7c122, 0x22527601, 0xcce2cac1, 0xb009c253, 0x8d098eb6, 0xe35e4daa,
+    0xdc2a6428, 0xe797789f, 0x9f2a0681, 0xa32404d5, 0x51121e73, 0xa4e06bfb, 0x7a2e216a, 0x2967e325,
+    0x1adc0d42, 0x36e089bf, 0x62b7cb02, 0x6f8618bc, 0x1c1afdaf, 0xc022be03, 0x1fb10d7d, 0x2ae1a7e6,
+    0x6b68c0a2, 0x0932d2ee, 0x8f1bf35a, 0x10fd5342, 0x3e67cc4b, 0x5a4f7fa3, 0x52f0a58e, 0x7d3c3112,
+    0xed1943e8, 0x371caf0d, 0x4858fc32, 0x1cd54238, 0xf778a416, 0x6f560125, 0x6668dba7, 0x902dddae,
+    0x2ad9ff42, 0x2353ebe3, 0xf8d9ac88, 0xd426badd, 0x697a13eb, 0xdc0a69de, 0xf866a20b, 0x2e1d6534,
+    0x90e4fcd1, 0xeea9b1d0, 0x92b1d68f, 0xb6d3a56e, 0x1b2a96c5, 0x2fd580be, 0x786a1d84, 0xb960928b,
+    0x2b350eb1, 0x993bf678, 0x850e24a1, 0x622780dd, 0x26deddd9, 0x0772cbd6, 0xbc982728, 0xa327a67e,
+    0x067f7f89, 0xca9144e3, 0xe43ab564, 0x4775ee4d, 0x9eeca7fa, 0x3aaf72ce, 0x36bf90a1, 0xb848739f,
+    0x38743621, 0xbc131ef8, 0x89725bce, 0xb37c120d, 0x449a4c71, 0x1f95930e, 0x53e2f8df, 0x3c2f2ae4,
+    0x7320d413, 0x6e6b0eba, 0x7e379fa9, 0xf0c7d395, 0xa7718707, 0xc62c9a62, 0x59e390d7, 0xdbdb9e7b,
+    0xf4cf96dd, 0x58eddeca, 0xc469f6bd, 0x5bae4dac, 0x8406a94a, 0x92d51d3d, 0x6e7d2064, 0xf0466713,
+    0x687379bc, 0x3ce07c9f, 0x49686426, 0x36959232, 0x82ff253c, 0x95e8e3d3, 0xe8dcd523, 0xb124693a,
+    0x7e4ac736, 0xc2d200dc, 0x7bac13a7, 0x24251fda, 0x07b9ce09, 0x3f086e79, 0x735d9b5e, 0xad75894a,
+    0x848034dd, 0x219305c2, 0x7740a3e5, 0xb44615d3, 0x5a0a90ff, 0x7d08a9a3, 0xe2c5d3a7, 0xbfe4a4f0,
+    0x9fb680bb, 0x1743fe77, 0xcf8e46c8, 0xfd042586, 0x8b3610fe, 0xbfb73b3e, 0x4ec301d5, 0x90968147,
+    0x62870564, 0xd3a96554, 0x24f42f95, 0x6e1ec8be, 0xd7f595b3, 0x74402299, 0xdec72da2, 0x351bcf92,
+    0xd21fbf22, 0xbfc203fe, 0xc195d22b, 0x36fc30eb, 0x83cd283b, 0x6bf4ee7b, 0xae2d0a75, 0xedc6145c,
+    0xb835e58f, 0x622efae4, 0x8bcdd156, 0x95f4d548, 0x70da5d36, 0x6b9c1d65, 0x2175fb2d, 0x8ad18480,
+    0xfb424fd7, 0x0b212d9a, 0x5aa60683, 0xcf26835e, 0x6f3359ec, 0x995241aa, 0x543cd836, 0xbe494363,
+    0x00b1d5a6, 0x366f9104, 0x2eddc1b1, 0x0ae8dcff, 0xa96beeba, 0xb5d16d3e, 0x3ec4f2cd, 0xbba45040,
+    0x52cef3d7, 0xff3a9a06, 0xf9f6da98, 0x6bdb99a1, 0x89ba5dbd, 0xffffd053, 0xb54ce5da, 0x7146c901,
+    0xe21bcf13, 0x36678117, 0x5c0ff7f4, 0xcf9fe31b, 0x168b3c53, 0x770571fe, 0xd712b9e8, 0x0f1b3039,
+    0xf4c2dc30, 0xe064de27, 0xe7ab43bb, 0xde081485, 0x933bdc54, 0xdf64e5ab, 0x40f85a66, 0xb1653ab6,
+    0x4055f3d7, 0x59c9f3cd, 0x061bf472, 0x2f801092, 0xcabfbf2c, 0x27c4445f, 0x287a7b4a, 0x2cc1fea8,
+    0x4e61c720, 0x096f1a85, 0x48758d7f, 0x73cd563f, 0x04be854e, 0x9a0592b7, 0x6783f20b, 0x4685cd37,
+    0x82babcad, 0x2b04870f, 0xfbbb4c38, 0x35e3127b, 0x59dd6dfb, 0x1a4bbda9, 0x7fe79006, 0x856a03ef,
+    0xcfc2b418, 0xc334ae9a, 0x69bb77f0, 0xf93a8ffc, 0x73bcabc0, 0xe423c3ba, 0x0e692d0b, 0x1a07d7c1,
+    0x4cebc187, 0xd4cbee67, 0xbc295884, 0x80ec7387, 0xd079a0b4, 0x9761fbee, 0xf5ac6cc8, 0xc22a0c2b,
+    0xcd3c189f, 0xb3d43a65, 0xb9aa5da6, 0x23ae858c, 0x180df75d, 0xbd5449bf, 0x36365b9e, 0xc699c497,
+    0xb258a816, 0x76359f70, 0x133b11ce, 0xbb9a832d, 0x826074d1, 0xed53739a, 0x30c88dc8, 0x1b47e5d4,
+    0xe4830785, 0xc61d8af1, 0x18227612, 0x08554ff4, 0xb317fa6b, 0xb0f5893f, 0x1ef1448d, 0xf08e758a,
+    0x9746d342, 0x1a5fa7d9, 0x0aa782aa, 0x6f9dc5a7, 0xf8294a5e, 0xc715119e, 0xd6a0d565, 0x7efe019d,
+    0x406ff55d, 0x36984887, 0x8f90aaf9, 0x61b5b5c9, 0xf82ee1f4, 0xc43f42b7, 0xb948bbe9, 0xe2f3f866,
+    0x524bccfe, 0x3918d55a, 0xdf1a44c6, 0x1195bd38, 0xbe733ba5, 0xbcd9009d, 0x75cbf1cf, 0x60a06124,
+    0xd6742e03, 0x980ba645, 0xc456b63d, 0xe25f1a5b, 0x386e9eac, 0x46483437, 0x92e474d1, 0x30234adc,
+    0x70ec6547, 0xea1f26d3, 0x57e6f86b, 0x20b4140d, 0xa0611f9b, 0x0996521d, 0x4f27b525, 0xf683d668,
+    0x1405d4a8, 0x2f12543e, 0x94b8b924, 0xb5e4cfb3, 0x494d2128, 0x9369de9a, 0x3f9d7254, 0x4183dbba,
+    0xcd64b46c, 0x1bd44047, 0x2c0df733, 0x02a0bed1, 0xd58c1ece, 0x073c980e, 0x92e0cfe0, 0xf90deb26,
+    0x729dfb2c, 0xc320bc7d, 0xf172ae7c, 0x111c5a41, 0xe5667215, 0x154d5973, 0x8b399148, 0xa3a3fe81,
+    0xc6cd679f, 0xc5167264, 0x92a43ba0, 0xf8fa0305, 0xa91b3342, 0xa853514b, 0xa9efe931, 0x7c1a604b,
+    0x4ad87b3b, 0x62eb097f, 0x11021591, 0x51f8e181, 0x8a6a2c37, 0xd5513cd7, 0x3226248b, 0xc115ae7e,
+    0x1e962fd4, 0x76cbb3bd, 0x07229d98, 0xafb8f68c, 0x94d1733f, 0xfd5fec10, 0x286c9c67, 0x92f74909,
+    0xd5b9f9c3, 0x8df472cc, 0x10809f7e, 0x756e0cca, 0xb408f596, 0x11173a3b, 0x6c8a41fb, 0x759f2eb4,
+    0x45bd6899, 0xbcd8da9c, 0x2bf3fe54, 0xbc682dec, 0x05e2b241, 0xf66760bb, 0xa7bc2a77, 0xbc20faff,
+    0xe63b6553, 0xdbff2874, 0x49513c84, 0xb2d9ed95, 0xe1478bc4, 0xa017dc97, 0x59b6ede1, 0x9fcccf05,
+    0x00000000,
+    0x50fde9dc, 0x7859d066, 0x6ac8082e, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492,
+    0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000005092589940836\
+                         21521567111422102344540262867098416484062659035112338595324940834176545849344 */
+  { 0x00000000,
+    0xc1dc4036, 0x53020724, 0x7acb2427, 0x62d6c101, 0x47621847, 0xb44e547e, 0x383a5f4c, 0x1ca27c03,
+    0xcc9b52c3, 0x4a754ad1, 0x68b987b3, 0xf371b930, 0xac304ee0, 0xb803655f, 0xbfa4f91e, 0x182a9bec,
+    0x09d6d706, 0x724fb704, 0x384a23ca, 0x88e434df, 0xf3bd8008, 0xa7e6b541, 0xe8847d38, 0xbe52980f,
+    0xfafcd7e7, 0xe58112c4, 0x0035f81e, 0xd2a49ec0, 0xdc69fd3c, 0x320fcf9b, 0xa571b411, 0xbd2aaf67,
+    0xa5ab26ff, 0x04fe82f8, 0xf96b62d2, 0x24ca9ef8, 0xc4624590, 0x898b61a8, 0xe11b3762, 0x7cd2f6af,
+    0xc6d5413c, 0xe208389e, 0x6242d341, 0xf6dd2e30, 0x2bb7d6ec, 0x82f556e6, 0xcac545c3, 0x77f9b99e,
+    0x1e97a19e, 0x7fe39c32, 0x6ebf5fb8, 0x625cb089, 0x05989503, 0x2d795653, 0x59ff7164, 0xad4bc2e6,
+    0x6790da8f, 0xdc9fd030, 0x892759d6, 0x10d1d44d, 0x514fcb27, 0x1772ffcc, 0x0ce72a74, 0x0e102f40,
+    0x13809730, 0x1462a150, 0x64837058, 0x65ef40a2, 0x08cadb20, 0x067336e6, 0xae642499, 0xe2d07a53,
+    0xbac8cf00, 0x16dd9a00, 0x60539b48, 0xe6c08483, 0x720ebf91, 0x2434adbe, 0x115b67ad, 0x2f81b603,
+    0x32190556, 0x22f66ea9, 0xf704b816, 0x756e8f28, 0x60e0dce1, 0x5ef0fbb5, 0x489d630f, 0xa189716d,
+    0x8b5d9bcb, 0x6ffb328a, 0xd0a2cac1, 0xb776ca71, 0x2e2ce4ba, 0x330e5063, 0x28a5dfbe, 0x8b160833,
+    0xd83b2c3e, 0xd2f5b079, 0xb8e1b830, 0xff56d1f4, 0x3560c779, 0xa3e0f85d, 0x870a76bc, 0xb65532ee,
+    0x720a0fd9, 0xc5b47eff, 0xc677f156, 0x9c1435ff, 0x4b063f51, 0x9658a5d1, 0x138d89b7, 0x585e30d8,
+    0x37577b5c, 0x09decf02, 0xae6f7fa7, 0x06039083, 0x103b66e3, 0xe683905a, 0xafb5f7a1, 0xe28a5fa6,
+    0xe24e8c63, 0x3c111bff, 0xc14a0c28, 0x90ce2dec, 0x08966893, 0x37387354, 0xbd0f8ca6, 0x9c58d12e,
+    0xfdf60e0a, 0xb51df228, 0x4df7cec9, 0x1ffb734a, 0x953c67c1, 0x83c1aba5, 0xdae5dda8, 0xe46f1118,
+    0x0ac5bbf5, 0xcd06cb4b, 0xd3301540, 0x18831a70, 0x94c8a57e, 0x49ac94ae, 0x18a9cfa8, 0x4ee1a299,
+    0xbaec527e, 0x57b006a5, 0x8996916f, 0x087ea02c, 0x26888497, 0x438381c0, 0xe7ca07cd, 0xbd1e32a9,
+    0x8df4d262, 0xd319e037, 0x0d78fa33, 0x205fd77c, 0xbebd4d2f, 0x5c34aa0e, 0x54dfb26d, 0x2cfb6529,
+    0x4808f9f6, 0x8b0b409e, 0xb8307d73, 0x3be41f6a, 0x35bab473, 0xf8d2f9dc, 0x9c4d3d7f, 0x9439dee7,
+    0x54aff4d3, 0x71fcafdc, 0xfcb7dd3f, 0xfa37d2b7, 0xb95eb93f, 0xf832fe9a, 0xdbb371d4, 0x36a165dd,
+    0xdb3dba9b, 0xc9bfaed1, 0x880973a0, 0x703737c4, 0x1ade538d, 0x18c5ed6a, 0xccc8061c, 0xa778114e,
+    0x250ec0ff, 0x252bffaa, 0x60c478b1, 0x0c2eb16e, 0x02ebb478, 0xd4b9c637, 0x0bba5123, 0xdf33bb55,
+    0x8ee6fe54, 0x127275da, 0x4867fc28, 0xc44eb2b8, 0x9be74702, 0x8ba6bc55, 0x365dfde4, 0xe6154a25,
+    0xd729d94e, 0x49b69ed4, 0x7332f68a, 0x00c03c75, 0xee3f709e, 0x3b1e567f, 0x3ca85023, 0x1ecb0d89,
+    0x8f325c0a, 0xc7a4dc52, 0x01d6d67a, 0xc7682903, 0x265de750, 0xefbafff2, 0x30f99100, 0x67eff657,
+    0x8ecb4066, 0xa99d9d1a, 0xe61b35bb, 0xacd69e86, 0x9d096cc4, 0x39467200, 0x6acb4914, 0xdf5eec71,
+    0x89babe14, 0xb56c9e91, 0x96237704, 0x74713eb3, 0x4f1c2c7f, 0x6bfa9ca1, 0xf9b32115, 0xb1dbc186,
+    0x82c8e2cb, 0x26f415ec, 0x665ee337, 0x291ded82, 0x7bcf6541, 0x41379c33, 0x7199f327, 0x5cea6f91,
+    0x2fc4e761, 0x498a6907, 0x04051eb9, 0x2110bc99, 0x9537a13b, 0xfc9fda4d, 0x1b565aad, 0x2ee61734,
+    0x5d95e522, 0x0cb3735a, 0x1e2ef0e9, 0x83fa186f, 0xcfa5a64b, 0x84fbbd30, 0x5895c832, 0x0c126fce,
+    0x5ddcc83d, 0x6c6e96be, 0x230cac20, 0xe3b7d2f4, 0x1f7c3976, 0x3bce64be, 0xea66ff84, 0xa97e0bcf,
+    0x5f0eabf5, 0x065d8748, 0x5f6bedb1, 0x65c001db, 0x60964360, 0x96b75fb5, 0x52b9c506, 0xd660c1dd,
+    0xc9abd567, 0x5fa9bd71, 0x946d2115, 0x3a343eec, 0x75374ecb, 0xa611acc9, 0xca5fab1b, 0x77054bb9,
+    0x6b35dbf7, 0xa19a6c4a, 0xdd6c0060, 0x249a573c, 0x9c8cc9af, 0x618e8241, 0x453b415f, 0x35056570,
+    0x59da97e3, 0x6feb8463, 0x7cc18add, 0xf3f8cb16, 0x06e8e8fe, 0xb119187b, 0xb6d96509, 0x7f3aad21,
+    0x6310d9ed, 0xf5a3ccd1, 0xd5773f48, 0x58af3565, 0xb5dbe0d4, 0x9842bf97, 0x7611cc9e, 0x24f728a7,
+    0x56ba545d, 0x78c9b489, 0xf6fb842d, 0x80715c57, 0x3a6ac307, 0x8315a20d, 0xb8b62bfd, 0x733948b2,
+    0x215b89d4, 0x8563ab01, 0x298bbd7a, 0x7602b373, 0xf33d99d5, 0xd814183f, 0xd8bd57b7, 0x43d662a5,
+    0x5c500edc, 0x678a7f94, 0xb663d2ed, 0xde434bdf, 0x6b997532, 0xce621e74, 0xa710e7fe, 0x87900f37,
+    0x54fa9724, 0xe15f3171, 0x39681cb7, 0x67ede436, 0xd9666862, 0xbd7879f8, 0x77c1cd0d, 0xe84264a5,
+    0x6eb7cb02, 0xf4413439, 0x3e5db5a3, 0xba747e35, 0x0a01e5df, 0x5c0ef981, 0xc1c0bd44, 0x0d3f62cd,
+    0xfbff0dc9, 0x8280e7fe, 0x339f8425, 0xcf27a6ce, 0xc01775b2, 0xb47d993b, 0xa701b8f2, 0x169eccb4,
+    0xa91aaa55, 0x993ea8c6, 0x59457e87, 0xa3d21b80, 0x35921eb1, 0x76f9c69a, 0x2eb0a2ce, 0x76037c28,
+    0x0893d1fc, 0x0dbc5131, 0x7111aca5, 0xa849b5aa, 0x46416a8a, 0x3483a425, 0xec33d983, 0x29ef3c71,
+    0xe1c3255d, 0x342dae33, 0xeabe6b6d, 0xe662ff51, 0x29436a47, 0x754d2019, 0xc13840af, 0x24b0b457,
+    0x39e54e47, 0x98425d08, 0xb7c5c4c7, 0x2487f9b0, 0x80de13ba, 0x688a9e14, 0xd4dd5a6d, 0xb0d77dc7,
+    0xa0b9f291, 0x2d8a6690, 0xebe850b8, 0x7e0016db, 0x9c905004, 0xeef64b45, 0xbbca933a, 0x879c0559,
+    0xe37c7829, 0x67958352, 0x6d29f78e, 0x2d8c6db7, 0x8e5f059e, 0x42e9b7f6, 0x2e14dd5d, 0xe8852f38,
+    0xe0fb1d3e, 0x1bd42b23, 0x5af36360, 0x7456f1b4, 0xb2646bd0, 0x9a30158d, 0xbac631bb, 0xf6a6a220,
+    0xae2bfeb4, 0xbd540862, 0x87eef3c6, 0xc456a89f, 0x1494c276, 0xe86ddf58, 0x020bfb23, 0x11921c78,
+    0xd4488a6c, 0x6c6195a1, 0x73a5a94c, 0xda1e41dc, 0x06ae9298, 0xae335470, 0xf2c175d0, 0xe89cded3,
+    0x4c7b7449, 0xab6160e8, 0x280a0600, 0xea3f1b6b, 0xb338dca3, 0x7d971bde, 0x0cd26ed9, 0xccab637d,
+    0xdcb60cb6, 0x1d35b635, 0x2e308253, 0xbc1481c3, 0xbc58f426, 0x08b7dba4, 0x7723434a, 0x5d5920e4,
+    0x073a8965, 0xa2f8d82a, 0xcc97d488, 0x02cd6c3a, 0x4dbdd039, 0x2cea2e65, 0x47bd6ac2, 0x142c9c06,
+    0xb0e8a2fc, 0x7b73cb0d, 0xf7e47290, 0xc1e2b706, 0x6b9da104, 0xe4309082, 0x93f215c2, 0x93a6d7b0,
+    0xed79b8d2, 0x9428eb18, 0x771f7d59, 0xcf18ec32, 0x460b1ed2, 0xf08b6300, 0x43f11e01, 0xa9546111,
+    0xf99ecd27, 0x33691625, 0x3d5e2aa5, 0x0572c1eb, 0x4385032a, 0xdfe1c5dc, 0xb685fcc4, 0xe5521aee,
+    0x2d941d30, 0x88f51327, 0xed9d93af, 0x90dd9e28, 0x9f5efe04, 0xf8321d69, 0x5a41d260, 0x302c1cfe,
+    0x75b92bed, 0x28c3b0cb, 0x7756218c, 0x36955627, 0x2eed95ac, 0x4543e64d, 0xfe39bb8f, 0xcd32e5e2,
+    0xbc34b883, 0xc5091e0b, 0x603e006f, 0x067fc8e4, 0x261069d9, 0x0ca6ec75, 0x44fcb43a, 0xebdf8ee2,
+    0x2491d5a8, 0x2b96d30a, 0x304bd201, 0x03b24647, 0xdf7ec3fb, 0xf3dae575, 0xfc7de758, 0xe93cd57b,
+    0xd571dc58, 0x0632ebd2, 0x040cde9d, 0x46e40b7a, 0x479a1b9b, 0x3035f984, 0x49467c71, 0xe17990c0,
+    0x13a9216e, 0x592ccf18, 0x8490a3f5, 0x2953e24c, 0x085c23ec, 0x5a3a861a, 0x1a2d03a6, 0xb16bbb87,
+    0x5df1c027, 0x91f8ec12, 0x89e6a6aa, 0x25a689e4, 0xc3e94297, 0x1d527bb5, 0xdcfeb4ab, 0x6923bf8c,
+    0x801494b1, 0x0725529f, 0xfa9352c6, 0x51a657e2, 0x480f9dea, 0xd306532b, 0xeac029b3, 0x94964208,
+    0xfc3cc92b, 0xf243505a, 0x6560417f, 0xb5b95abc, 0x61d140e4, 0xee74e64a, 0x419b24e5, 0x813e48b7,
+    0x4d9ab927, 0xa05ccf8c, 0x060ef52b, 0xc1cac63e, 0xefc73f78, 0x53101ec6, 0xa3e2533c, 0xbc374983,
+    0x575ff87f, 0x94e078f4, 0x4c4083ab, 0x57832689, 0x3294c616, 0x4bfd83fa, 0x35cede3f, 0x5d9e480b,
+    0xd8cc19d2, 0x96772aff, 0x45dd389e, 0x023d5914, 0x600b4751, 0xf9df3292, 0x3f529b17, 0xe1cffa1e,
+    0x226c4095, 0xf7dc01b8, 0x6e704008, 0x11f3b7ce, 0xdb625f99, 0xcc0674a4, 0x199fe9e7, 0x734acdcf,
+    0x51d55bb7, 0x9c032339, 0x9a634b44, 0x67e9bdb4, 0x1f1ef32d, 0xa795d2f4, 0x42437ab2, 0x954f80e7,
+    0xed2a5201, 0x1565b4e1, 0xd285c175, 0xa8f91e9d, 0x73a33786, 0x2df4f16d, 0x12296069, 0xb65275f5,
+    0x344c9f00, 0x8abda2bd, 0xc8878b46, 0xf1045b0d, 0xac65dd2d, 0x227c2532, 0xe59301ac, 0x3cff73c6,
+    0x163d5b7f, 0xd4e5e89d, 0xd50d496f, 0xee205a9c, 0x1808a253, 0xf0fd68d6, 0xe973266b, 0x5f35367a,
+    0xfca7d473, 0xe41564e8, 0x1f12b9fb, 0x3721cdc2, 0xaef49485, 0xf4d11775, 0xbc53b708, 0x251f991b,
+    0xbe4ca795, 0x6c459e9d, 0x67a7f11e, 0x3029b9bc, 0x9918cbc0, 0x394d7f3d, 0x03c28055, 0x37a48d85,
+    0x7a864111, 0x8f70cdf7, 0x51836497, 0x8d796a85, 0xf5d732fd, 0x0270c143, 0xc5356274, 0x70934138,
+    0x7f9ba4b6, 0xf212a119, 0xd10b8fd0, 0x7bd26eb8, 0x10701916, 0x9251932d, 0x16043616, 0x20108bbe,
+    0xb27767c9, 0x60203221, 0x2cd81662, 0xe43a05f0, 0x7720d307, 0xe63a75d0, 0x5b40dcea, 0x47cb6675,
+    0xafc39d4e, 0xc4b28c87, 0x1e5cffb4, 0x5aea77c0, 0x42a39bf2, 0xec754f97, 0x2c2dc440, 0xccc523a9,
+    0x81ea878f, 0xa8f6f3f9, 0x69c82ea5, 0xca5b12b1, 0xccc83c3a, 0x81fc0221, 0x50c24445, 0xe076b15c,
+    0x1a78aad4, 0x823f8979, 0x98b94ded, 0x2d597fff, 0xd35a6ccf, 0x25df8d31, 0x38c01cf6, 0x288fff9a,
+    0x5b6f0f96, 0x63fa160d, 0xe8b81374, 0x297434b7, 0xb49a6af0, 0xb63297e0, 0xdbcb8a2a, 0xc0f26b82,
+    0x205336ff, 0x4d7db692, 0x5217a18e, 0xc4f0cd73, 0xdebff142, 0xa354eca6, 0xb4b637f9, 0x7ac7f3ba,
+    0x73e2887f, 0xeb74f25d, 0x4871c971, 0x94775d50, 0x80af37bf, 0x3ea6c4c6, 0xca1e5632, 0xf669a9ef,
+    0xd2eeba95, 0x1621864c, 0x88edb317, 0xa34c74b6, 0x7312d240, 0x96c8d25f, 0x8a0a27d4, 0xe7230b2f,
+    0x694cdf34, 0x32d67303, 0x3af49ecb, 0x3895f4ef, 0xf29bc4f3, 0x3233c0ec, 0x2e658f42, 0xb0035a2c,
+    0x3e34250f, 0x0bdd449a, 0x1665c9bf, 0x1bcd4ac1, 0x5d014254, 0x7f62d0f5, 0x9ab63c2b, 0x5545ea5d,
+    0x695fb2d1, 0x33f9bab0, 0x0ea96890, 0x175fcaa3, 0x7fe5bca0, 0x5b38e1a6, 0x2d818c2d, 0xf809a693,
+    0xac4ce948, 0x55cc7c55, 0x0ea661e0, 0x0875a8e9, 0xe8d0da65, 0x60438909, 0xdc40d55a, 0xf9b462cf,
+    0x1a1afc78, 0x4e979450, 0x17b41cfd, 0x77697891, 0x43a94863, 0x0ab087fc, 0x22048dfe, 0x4c826d93,
+    0x206d9fc4, 0x38ec5904, 0x777ca5dc, 0x5be38b07, 0x9b442a6d, 0x1ae92061, 0x0e24a059, 0x84db423a,
+    0xfe18258c, 0x71f46e05, 0xcfb60e1d, 0x64b6df17, 0x25aed34d, 0x3990675d, 0x993164c1, 0x0aad1cd2,
+    0x81c352a5, 0x0101f017, 0xb579471a, 0x3fb586e7, 0x4bed6072, 0x9e608705, 0x8c8eeae8, 0x2f988587,
+    0xb199d4bd, 0x473fb4fd, 0xfbeff6b6, 0xf1e73017, 0x1ffdd30d, 0xf4507d1e, 0xb1fbadbb, 0xc8c46125,
+    0x8f784249, 0xf80aae74, 0xa4a9afb5, 0x12b9a15c, 0xdb570e08, 0xf6ae8f98, 0x25d8a6f6, 0x285f2170,
+    0x80421899, 0x68b86d92, 0xaa4b90b2, 0x3e17bdde, 0x8b965e00, 0x37656832, 0x85b2f410, 0xfc430e43,
+    0xbd612f2f, 0x854babb2, 0xfe8fa7fa, 0x8670b354, 0xf3c30166, 0xe7308299, 0x3c20a021, 0x93c1ee18,
+    0x9c1c41d5, 0x4bcef633, 0x572e7626, 0xf6fa5403, 0xc08bd00b, 0x661a503e, 0xac530e86, 0x5fae1b4c,
+    0x284f3c36, 0x772953c5, 0x17f891fc, 0xbdcab8a5, 0x06f825de, 0x027c24b4, 0x003e1a9a, 0xca18178c,
+    0x3b498879, 0x034b87ed, 0x2e71160f, 0xd671e15a, 0x9fdd93ad, 0x202a69cc, 0xd0bf51b2, 0x9fee6db0,
+    0xac756425, 0xae743076, 0x210b20f3, 0x6d4d9e47, 0xc11a5544, 0xb7841847, 0x16170e2b, 0xc9e56176,
+    0x64ab68c7, 0x414b9812, 0x0af58959, 0x9a4799ab, 0xc43503b0, 0x02b7d7a7, 0x5e6f991d, 0xc424108b,
+    0x32722642, 0x55d7a1fa, 0xff17e053, 0x96058a17, 0xe6f86c53, 0x064ad54d, 0x9a89109b, 0x8e329482,
+    0x8bb70328, 0x694b5f15, 0xa177546f, 0x4b936efa, 0x7e5da38f, 0xbe7c1abe, 0xb6281135, 0x308a5ddd,
+    0xfb1057c2, 0xaceb55b3, 0x758d1e16, 0x7498ada2, 0xfcc27685, 0xc99730c4, 0xf3347fed, 0xa0b21de9,
+    0x3e55cd68, 0x3e980026, 0xb51963f2, 0x0a516d98, 0x2b7e9aea, 0x43e6f3bd, 0xa65a9434, 0x521b78df,
+    0x1ab03c23, 0xec7fea69, 0xe9a37122, 0xed2ad3fb, 0x1460bb9b, 0x7438eb14, 0xa8abd197, 0x8e4891df,
+    0x776c27d0, 0xaa6a62e2, 0xae389c16, 0xf4403057, 0x886acab9, 0x0075d532, 0x547c023b, 0xf0ace57c,
+    0xd391a832, 0x66e68386, 0x36c2082c, 0x17bd4ff6, 0xd9b36913, 0xbcde3c81, 0x5b54ba0a, 0xf5b29b9c,
+    0xc33fd3ec, 0xaec9b39c, 0xc2bb73ff, 0x5d01512b, 0xd31b866d, 0xc6ba3620, 0x61cc96fb, 0xe4b98d21,
+    0x4bec4d81, 0xa46d2597, 0xd39cd00c, 0x124bf63e, 0xee594858, 0x9ebfdcbf, 0x530ed7df, 0xc965f910,
+    0xf1d08db3, 0x0ade5d11, 0x43afad2c, 0x7d9b3ecd, 0x1e9217ed, 0x902838ae, 0x6182b74d, 0x230d12ac,
+    0xfca847b9, 0x338ade52, 0x5884c3b7, 0x399f251a, 0x50c551fb, 0x415207e6, 0xd321e929, 0x653b884c,
+    0xcf648dad, 0x74b06958, 0xaefd3be6, 0x0672991c, 0xaf7d019c, 0x565de692, 0x38a316be, 0x54a7dcc9,
+    0xbc9131a3, 0x2569326f, 0xf923b7ee, 0x581b2f85, 0xb7fdf8b8, 0xcfa24caf, 0xc55ab60e, 0xb07fcce0,
+    0x6156fb71, 0xf44fb873, 0x9a46fbb2, 0x018860b3, 0x2657763a, 0x5007d886, 0xfcd234a2, 0xfc2f2ab9,
+    0xd2461b1e, 0xa5139e2e, 0xd860836e, 0x8fb116c9, 0xdddabb3d, 0x6c89a8a4, 0x87f726e8, 0x6b7c9f65,
+    0xbd1b6da3, 0x0a309f0e, 0x2c4970a8, 0xbb53b57c, 0x4d521296, 0x21888ee0, 0x5d1bc889, 0xc08c5796,
+    0x93fc2331, 0x5a7b59ef, 0xd0070152, 0xf79f3123, 0x4828f9ec, 0xcaac9c69, 0xa92f806a, 0xb9f17182,
+    0xd0bd2ae6, 0x678da501, 0xe4865c04, 0xe7b6abe9, 0xa6afae0b, 0x50dff470, 0xf17550f2, 0xb2576e31,
+    0x55435a81, 0x90c0fc67, 0x845e6b9c, 0x4df63293, 0x6186bbe6, 0xa9c1dfa9, 0x6d69bae6, 0x2c9fef96,
+    0x3cf22fbf, 0x91bf22cd, 0x59a6cd90, 0x12ca90a4, 0x3bad163d, 0xc04a2751, 0xa2f2f5db, 0xc82efc03,
+    0x977bdbad, 0x50bf5432, 0xdbc4d233, 0x27ba80f3, 0xa82cd6b9, 0x2ebf1645, 0x6cb856c5, 0xca425eee,
+    0x00000000,
+    0x287ef4ed, 0x3c2ce833, 0xb5640417, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249,
+    0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000002546294970418\
+                         10760783555711051172270131433549208242031329517556169297662470417088272924672 */
+  { 0x00000000,
+    0x980e04ba, 0xcd798408, 0x08e84fe9, 0xc98da48b, 0x69e76a2b, 0x634f3f00, 0x95d7d9b7, 0x76a47d6f,
+    0x6175fecc, 0x92683b47, 0x309df676, 0x4cf60fd9, 0x93ccef21, 0x360f21e3, 0x0cee78e0, 0x5355e7d6,
+    0x638248d4, 0xb5dcb01d, 0x80323de7, 0x993612dd, 0xde4c53bd, 0x78c14213, 0x808a7767, 0x137f255b,
+    0xea7cb8b5, 0xafb6c3ec, 0xad300490, 0xe136179d, 0x2290a89b, 0xa1175c1f, 0x834f600c, 0xc9aac2c7,
+    0x7e7b698b, 0xbd8b407a, 0x721c0c5d, 0x26ed5488, 0x742a4745, 0x1dc16e96, 0x83b4fa41, 0x0f08b2d8,
+    0x8d76b7f0, 0xb33c65ee, 0x2cf380aa, 0x2f97cbbf, 0x1b76de22, 0x362f09c1, 0x17f29788, 0x2a1b0af6,
+    0x58430cde, 0x07a7c6a6, 0xb69e9296, 0xabee91d0, 0x23fb3bad, 0xce56143b, 0xb17a9034, 0x69e4f8a2,
+    0x801ab678, 0xc58c7bc6, 0xf48cbb9f, 0x8f7e2610, 0x053cf52c, 0x19ef6215, 0x8ff97cbc, 0x1e5ca539,
+    0x85c6c3ad, 0x1e2064b6, 0xe2570dd3, 0x0866316f, 0x06529908, 0x4e1d6493, 0xd286df7d, 0x77d6c670,
+    0x67bf9214, 0x31acc62d, 0x62015a78, 0x58782e23, 0x7d57925a, 0x8fb8f409, 0x5569fd07, 0xf7f3817a,
+    0x19a118db, 0x2c573b22, 0xaa67b0d9, 0x95423eb5, 0xe926d792, 0xb53744c9, 0x651de184, 0x722fe70c,
+    0x14a43713, 0x51696e51, 0x46c734c3, 0x271b6bf6, 0x01f43e07, 0x5beee565, 0xf98e0e4f, 0xbe37d070,
+    0xa36807fe, 0x3d44c912, 0x1c157715, 0x0eca2def, 0x079e1f45, 0x7fa4a2cd, 0xc1af093b, 0x4f495b95,
+    0x14f6de03, 0xb25c2d7c, 0xb6e0d3e6, 0xb406a540, 0xe1b212d3, 0x9da982ba, 0x63f7d983, 0xa11e259e,
+    0xda80369f, 0xa0b18822, 0x152b7651, 0x17e4980e, 0x128138d9, 0xf2197657, 0x99f9858b, 0xa9da82ff,
+    0x8358b9c3, 0xd2f77bd5, 0x7d8c7da2, 0xc860d061, 0xb00cd1d1, 0xa1667083, 0xf6e4741e, 0x323df5a3,
+    0x83a5eea9, 0x825c193a, 0x03d13b0b, 0xbc11c837, 0x28fbd47b, 0xc8663be1, 0x582e57b7, 0x28b2fd02,
+    0x50be3fe2, 0x8073c382, 0x63385bb9, 0x8ff9a9cb, 0x202024e0, 0x1b9d6a29, 0x098af715, 0x64da5863,
+    0x8c107484, 0xe4d46fa0, 0x0030c3ff, 0x5d147c56, 0x1f853ce9, 0x9c43ca29, 0x832e438d, 0x1a1b044e,
+    0x9a0b0bf6, 0xbb370ab2, 0xc114f395, 0x580fad6c, 0x0660f245, 0x481aefac, 0xfb884f58, 0x798a1c3c,
+    0x1e99af3d, 0x6634cf85, 0x6c71d442, 0x57bc6e54, 0x70e3c5bc, 0x6b2a7898, 0xeb0e21e1, 0x3c073e37,
+    0x0c9462be, 0xb6f16dcb, 0xf22e9796, 0x468f5a38, 0x1e9cb8f5, 0x6b3d34be, 0xaee68e0b, 0xa2a5d15c,
+    0x7c9d67bd, 0x835c2344, 0x59099dfe, 0xddddeeb0, 0x8e1c6871, 0x2bea07f7, 0xdd04af01, 0xccf2695b,
+    0x64447073, 0xc3cdff73, 0xad12b530, 0x586672df, 0x89de898d, 0x13e74251, 0xefd27221, 0x09b48bfa,
+    0x2e3f53e4, 0x6c31297a, 0x919b78b5, 0x0e740000, 0x806a8409, 0x8cdc059b, 0x3c24cc98, 0xca3f5507,
+    0x903f6d13, 0x1d8393cb, 0xe4d5ebd8, 0xa52a7604, 0x981c8a0c, 0x339bcadf, 0x17632a76, 0xc9385804,
+    0xa4e3acd3, 0x3316697f, 0x18e8aefe, 0xd155d30d, 0x463647a2, 0xe0e42824, 0xd016f089, 0xb6b49f33,
+    0xf51aaf67, 0x0d4ecebb, 0x169e5858, 0xa38ba717, 0x5157d0fe, 0x588dd2ed, 0x7d343408, 0x9ea25cdb,
+    0xc72b604c, 0x0589c4f4, 0x841955e1, 0x2f2843a8, 0xfc6d280f, 0x7f528563, 0x47700d3b, 0xcc95236d,
+    0x31176a91, 0x7ffa325a, 0xb8c4c982, 0xc333dc63, 0x4da46bfc, 0x50085cd6, 0x6159782e, 0x41b90557,
+    0xe693c0ee, 0xa7212494, 0x69621966, 0x4f7ada0a, 0x6a5f3745, 0xd6a39355, 0x6d9ca170, 0xf1d34d79,
+    0x275c6bcb, 0xd736d311, 0xd7e1600b, 0xed7a4c24, 0x49c5f1bd, 0xb7534d4a, 0x5fae1acc, 0x41137b8d,
+    0xb15e4d30, 0x19e06a8c, 0x18bb3307, 0xdf7491e2, 0x8624b08d, 0x8b9eb3c5, 0xbb354d0e, 0xc6f49f99,
+    0x50389d92, 0x911b7e0d, 0x9d1a6561, 0x3e20930c, 0x4d3591de, 0xf31624c0, 0x707389c7, 0xcb36ad51,
+    0x1a81cda3, 0x1c4693bc, 0x1b3269b6, 0x812dafdf, 0x4d0f84d0, 0x6b67aea5, 0x93b868f4, 0x1b212ac0,
+    0x33d693cd, 0xbc19c3e5, 0xf4f6e298, 0xa499ab38, 0x748b0122, 0x1acf5026, 0x6c0561cd, 0xacf0ef52,
+    0x382eedaf, 0x645f16ce, 0x82203954, 0xe35884d1, 0x7674e089, 0x1ceac4fe, 0x393693e0, 0x2e78f0c1,
+    0x364fc49e, 0x1ce0d18a, 0x862c4276, 0x791e8617, 0x1ec9e6a8, 0xcf9179c0, 0x84ff2a6e, 0x8604499b,
+    0xdb657581, 0xf4e03d7c, 0xf25006e9, 0xa8d211fd, 0x4a997e55, 0xb77213f0, 0x47eddc2d, 0x665d4a66,
+    0x325b6bb0, 0x1dc11ae8, 0x33b1a510, 0xa5058bd7, 0x2e031e89, 0x1ddeaf1e, 0x2799b0e3, 0x09a12d53,
+    0x639ac9e5, 0xd4568a5f, 0x67f67a63, 0x2da0719e, 0x2b438b89, 0x950da110, 0x5e1d9914, 0x9ba1bbed,
+    0x9901c67e, 0xacec58af, 0x533de2c2, 0xaecfb96c, 0x9bce3d37, 0x1b13cded, 0x9463d2bc, 0x67331247,
+    0xbb6fd6eb, 0xd35e74c6, 0xc08388b2, 0x376f2b0b, 0xb1f63592, 0x712dc629, 0x03dc36cb, 0xb2b0d32e,
+    0x2a30ad58, 0xcde377f7, 0x1589e25e, 0x59be1b24, 0xdd5ff8e6, 0xa8571eb8, 0xe85cd4c3, 0xf614c3d2,
+    0x0e202555, 0x5a12f162, 0x5eb0b9d3, 0xa0c9df7f, 0xc179f76a, 0x34f71858, 0x0ee195a5, 0x22da576b,
+    0x74cbf555, 0xc79bff0f, 0xa390c7ef, 0x862469f8, 0x27b046ed, 0x7a1c7a7a, 0x3263cac9, 0x148620f0,
+    0x7a84848f, 0xdaa506c2, 0x44d2f9fb, 0xc1f0a41c, 0x45ec6059, 0x4825a584, 0x2a4cdb98, 0x5bbe9500,
+    0x4f032254, 0xa719079a, 0x159c9b15, 0xb46201ce, 0x5a941cec, 0x9de07718, 0x91965e32, 0x8a8929fb,
+    0x4e4e088e, 0x7bfb0571, 0xa8dee7e3, 0x6e623e8f, 0xda30de94, 0xbb13a5d2, 0xa626b77c, 0xf6ad04a7,
+    0xe14e9e15, 0xa96ba19e, 0xc4da35df, 0xb00b1e0a, 0x04356fa0, 0x7e5f77b2, 0x227c9fe7, 0x80062b8b,
+    0xaa8ad279, 0xe865cf17, 0x99385306, 0x417a659c, 0x16422523, 0x7dbd9456, 0x929e8b07, 0xcf814071,
+    0xc873b6e9, 0x53fa14e5, 0xe1b96905, 0x8cc02236, 0x7fbaea24, 0x2d00d78b, 0x54f771e3, 0x8341dc00,
+    0x1cf4947e, 0x80d8c59f, 0xa282ae2b, 0x3b17fcb4, 0x49f9cde4, 0x6dcb462b, 0xeeedc80e, 0x3b5bc05b,
+    0xe3e26347, 0xddc29888, 0x997357a4, 0x9720c67b, 0xe1e91abf, 0x9281fee6, 0x54f14d78, 0x83b60ab4,
+    0x917ba445, 0xeaab350d, 0x4b0474c8, 0xdc8f8796, 0x054370f3, 0xcf59b248, 0xa2290c5f, 0x111183a4,
+    0x7a2f4633, 0x9f864347, 0x47bb5118, 0x4f86bc78, 0xcc2b771d, 0x9b54937e, 0x094e4925, 0xb54c40d2,
+    0xd0cca3b7, 0x5aed0347, 0xc189d5af, 0xfdb100f8, 0x95df42d4, 0x50eeb050, 0x59e6cf58, 0xf27a34c0,
+    0x3d148cad, 0x29a5f7c1, 0xb6a2a89b, 0xf8853fc4, 0x8f243983, 0xed15be17, 0xe31c275c, 0x8922aa51,
+    0x0b53617b, 0xe042d230, 0x0467f7e6, 0xc07f3278, 0xfce7e03a, 0xff0c73c5, 0x9b7b1502, 0xd7265950,
+    0x28ab81a1, 0x53558529, 0x132df164, 0x6f78bfc5, 0x79f18426, 0x343366c4, 0x6375feed, 0x6d197ec0,
+    0xc248783d, 0xed059c23, 0x70e12063, 0xac05ae18, 0x84ab3a68, 0xed4efd84, 0x5ff4c004, 0x18e15d78,
+    0xa9fc2064, 0x94cf2578, 0x95c78372, 0xa066ea3a, 0xbb5032da, 0xbd101b21, 0xae4a140f, 0x0a3d2b3b,
+    0x3d2bae08, 0x4e565da3, 0xa92e74eb, 0x66832be9, 0xa9387d67, 0x313afabc, 0x799843ae, 0x33c7cd07,
+    0x52d4391c, 0x75b90beb, 0xc4e8158f, 0x365f6fd8, 0xd99e9fb5, 0xf72ddb23, 0x90d90bc5, 0x50196673,
+    0x638e4a53, 0x109d22b3, 0x8da16f9b, 0xe3906220, 0x9f6a8052, 0x63790d62, 0xfe7a2735, 0xdc210ac1,
+    0x72c59eac, 0x8223a8eb, 0x99a7b86c, 0x0b56dd5a, 0x2debd4b9, 0x7bca053d, 0xf853ea67, 0x38a113c2,
+    0x8837caf4, 0x75cfa177, 0xfd56b241, 0x6974a075, 0xf74af29b, 0x61794283, 0x63c2ab51, 0x6453f227,
+    0xdee45208, 0xb5bbeda7, 0xbfb09ec8, 0x619f36ae, 0xa446e6f0, 0x96efebd6, 0x2ea8b19d, 0x64e4b6b6,
+    0x06962d93, 0x4f317a0f, 0x7e1168db, 0xa5e1eb9c, 0xea5b19cd, 0x0731cd72, 0xc2155342, 0x4e677558,
+    0xa10d8406, 0x8eb54415, 0x8356efb6, 0x668f39ac, 0xd01eeb95, 0x30e0fa92, 0x80ba69ba, 0x03d0b1cc,
+    0x0eafe0d7, 0xfff48afd, 0x94983a66, 0x9477fb24, 0x81929c3a, 0x1de95247, 0xba0408e3, 0x305082b4,
+    0xf962515b, 0x64156903, 0x2813ac4b, 0x53c0b911, 0xb7aa5065, 0x90c9ec5e, 0xab20da48, 0xa0df4ed6,
+    0x5019492c, 0xdceb2253, 0x0803ff7d, 0x2e2ef8e1, 0x998e29c2, 0x63cb4bff, 0x8ffc89a1, 0x46476dfb,
+    0x3aa67d88, 0xf5d1919e, 0x2249a2a6, 0xbd1b5aa4, 0xc52ae907, 0x3798828b, 0x9c842996, 0x6b6aa483,
+    0xea535593, 0xa7af0437, 0x145a1a4e, 0x4562e5af, 0x61089f97, 0xd9e80fe8, 0xa83f28af, 0x1880666f,
+    0x569e962e, 0x317cd966, 0xe5bf3fe4, 0x8947946c, 0x0413e945, 0x42a1ecf1, 0x640e8e04, 0x44cda16c,
+    0xb3665122, 0x56fc27aa, 0x9f4914a7, 0xf8b40e12, 0x3f6c6c8d, 0x6e30c814, 0xb3ea8d44, 0xd543dd6a,
+    0x79de53ac, 0xc6c76743, 0x28471c50, 0xa0284d02, 0x28f8e737, 0x88028b99, 0x6e94bbf6, 0x196b23a0,
+    0x409341f7, 0xb92fc73c, 0xbce71195, 0x698cf5e1, 0x50d30ed3, 0x27cc0514, 0xa379d81b, 0x7ba70b06,
+    0x2d1c193d, 0x63b25445, 0x48e46be9, 0xc5f92c69, 0xb1d36af2, 0x2d0c3919, 0xaf1d7a5c, 0xec07a236,
+    0xfd1194fd, 0x04d357fa, 0xc758ef6e, 0x804bce53, 0x5a938900, 0x91a8732e, 0x22ebc037, 0x03318565,
+    0x79300f66, 0x4cf423f5, 0x99ff8aea, 0xa9aa94a2, 0x70a8bf70, 0x566b53e8, 0xa8c8a562, 0xb7b24431,
+    0x933c76fd, 0xc375ab7f, 0x494dbf55, 0x7be291c8, 0xdf42ed7a, 0x7479a1df, 0x5e630873, 0xe863d40d,
+    0x4a3860ab, 0x79ceb953, 0xf1b45ff8, 0x03ee22eb, 0x6e67525f, 0x0be15d52, 0x545ab040, 0x7dc7c198,
+    0x51704118, 0x078950bf, 0x78446f07, 0xe213fb1a, 0x4eccbd7f, 0x0b2a561c, 0x39af1714, 0x24a9ac8f,
+    0x92d714b1, 0x9448546d, 0x41d26963, 0x726c12ae, 0xd041d1fa, 0x03a61e5c, 0x6eb1843f, 0x894339c9,
+    0x9b4fa4fb, 0x34a3bfc3, 0xb6bed949, 0x11ac6e71, 0xff335c2f, 0xcca55a73, 0x77442f18, 0xb23a3ff5,
+    0xb80fd392, 0xbc6112ce, 0x10a3c0fb, 0xe2ba5c31, 0x5d4aa7df, 0x9c111ab5, 0x539f9a73, 0xa1dfbc64,
+    0xace84810, 0xf2e723cb, 0xdb418c37, 0x35b85577, 0x12a3a211, 0x1fed1f7c, 0xcd9c3fe2, 0x2039d6b4,
+    0xeb127dbb, 0xa5cc1105, 0xca728cbf, 0x582c3668, 0xf7427297, 0x195e1d6c, 0x55211487, 0x51afbc80,
+    0x8d6ad1bf, 0xcf4e4fed, 0xb07adc8b, 0xe6c180bc, 0x7ceccc85, 0x1052dff1, 0x3ec3fd1f, 0x35d69a52,
+    0xaa0aef93, 0x31d9228a, 0xfe352ecf, 0x00611468, 0x9a705cf2, 0x12f6ea5b, 0x4a03ad02, 0x7e415379,
+    0x6b43a8af, 0x7d5214ee, 0x13844045, 0xb4a0b5c2, 0x7208ec27, 0x05ef02b9, 0x129a169f, 0x4ae26206,
+    0xda79441b, 0xeb714623, 0x4deac1c6, 0xe7c0fa44, 0xd5e3eec8, 0x7f44fe8e, 0x5af83c92, 0xdf0a753b,
+    0xb771875a, 0x59ec4b7a, 0xb8b684ce, 0x854be35f, 0x43fba82a, 0xaa9254a2, 0xabef3ef7, 0x1c558705,
+    0xff895389, 0xac510b3d, 0xb460ef0f, 0xbae01c97, 0xdc1fd08b, 0xc7a442a0, 0x9ee5f713, 0x9898a72f,
+    0x1a3a1cae, 0x3ae1c5e4, 0x9352b4a7, 0xc529f642, 0x10c5e416, 0x854cf848, 0xdffdd308, 0xfc783bed,
+    0xe40cb769, 0x1fb1b79f, 0x3f38cffd, 0x44d5c01a, 0x3f2a49a9, 0xebea85a0, 0x742d5504, 0xc684f1a7,
+    0x63559264, 0x154c4b4e, 0xceaf35fa, 0xc823316e, 0x82d2c6ea, 0x0c724e3e, 0xc50e8f8b, 0x9cedca13,
+    0xe691a442, 0xac48251b, 0x50ccd7fa, 0x594747bd, 0x56c75ed4, 0x8bfb599b, 0xec1c2d8d, 0xdee2f04c,
+    0xe40a4b4b, 0x27973923, 0x2d633066, 0x675411eb, 0x4e4be0d7, 0x5f64ecda, 0x7260fb98, 0xa4f00c01,
+    0xc51ff078, 0x4b68c7fb, 0x748dcd25, 0xcb51e512, 0xcea4fa4e, 0xcae2a674, 0x05325f58, 0xac88ea21,
+    0x2baaef8f, 0xe8b25b22, 0x957822fd, 0xeaa49d13, 0xbf8b73bc, 0xcfa3c5b4, 0x4c8dacca, 0x8b3208ec,
+    0xa87dec62, 0x850d9e21, 0x0059f10d, 0x24ec5822, 0x76162775, 0x5c83bb02, 0xeb7fd937, 0xf63f725c,
+    0x197e7676, 0xc9d6e71e, 0x37d2fa49, 0x5af8f171, 0xc3bca7e7, 0xa055ad57, 0x6bc89e10, 0x01a5189e,
+    0xe1f470ed, 0x9a65d853, 0xbff7acaa, 0x4a43669c, 0xcaf19a98, 0xd72cb0ef, 0x76365e59, 0xbd19bab6,
+    0x302559ac, 0x9f8e2ff7, 0x5a348486, 0x782a85e0, 0x6849c10d, 0x48f959b9, 0xd715eee2, 0xa1700959,
+    0x1bc1529b, 0x97648125, 0xa1e34960, 0x58317ce9, 0xc6caeb0f, 0x3ceb0970, 0x583e56b1, 0x9ad4268b,
+    0x457e3b10, 0x833fc522, 0xc0b47c6d, 0x7422d0dc, 0xea8a7d8b, 0xb37c5ece, 0xbb81a22e, 0x6c1f1ef7,
+    0xa81e9ec0, 0xbc15e625, 0x67e93d85, 0xba0d201d, 0x7c30e71d, 0xafe7c924, 0x7177fe31, 0xc291ad7b,
+    0xd424136a, 0x5c7fe354, 0xd859c07d, 0xf60f2541, 0x45b281b9, 0x9886acb9, 0x81ff60cf, 0x79fc0c1e,
+    0x01370aaf, 0xe90f87e2, 0xf0ed6bd2, 0xd870d220, 0x061881a7, 0x46cb76df, 0xaf0ef19f, 0xc0041085,
+    0x624fa8e4, 0xc4a67201, 0x80c4ed6a, 0x58bf5132, 0x56400c1f, 0xc79c2cce, 0xc7bdc692, 0x4cffb9b9,
+    0x68e9c2ee, 0xe5aae4fe, 0xbce7a8ad, 0x8f2d0431, 0x1bb64e46, 0xefd1d610, 0xf8c9f540, 0x5637ccad,
+    0xa558ed3a, 0x723e75fd, 0xf2bb56d7, 0x4a09639b, 0x6db2af19, 0x1eb35d33, 0x6651044c, 0x67b08dc8,
+    0x435b7788, 0x6b144f1c, 0x88bf763f, 0x336cbb45, 0x4d49398a, 0x4c501946, 0x3bc1563f, 0xfdaffe0b,
+    0x9a95bd0f, 0x7ad06387, 0xc69d3a84, 0x819f690d, 0x96d60e68, 0xd9be440a, 0x899557fa, 0x2f0eb8e3,
+    0xf052619c, 0x9e804ac8, 0xe48e390b, 0xf69a76ce, 0x2ccc8116, 0x65165e0d, 0x416a0aa1, 0x97e2fbae,
+    0xa54f1e58, 0x5d43e8b3, 0x8601268e, 0xd8c90fc1, 0xefffc507, 0x7d01d421, 0xaa951e60, 0x00f6ba0b,
+    0x3ce229dd, 0xf86a5859, 0xfe98b391, 0xf77aeba1, 0xf09b54bb, 0xfa1392c1, 0xf280298a, 0x2b74d910,
+    0xd6be9886, 0xa568b967, 0x9c3e9d52, 0xfde01475, 0xca746105, 0x43d0aa6f, 0x574ccff2, 0xa4edc38a,
+    0xd7cedd04, 0x9a41a64d, 0xb82a7cd5, 0xd71148c5, 0x666c784f, 0xa13ebf4a, 0xc5967c21, 0x8cd57629,
+    0x29f36baf, 0xd1d89c7b, 0x656bff70, 0x0626b590, 0xd141287d, 0xfd2d1bf1, 0x9840b184, 0xd88f4dfc,
+    0xab6b06df, 0x943b7521, 0x0be4ec73, 0xf430a35b, 0x5795a6d4, 0xd667a8eb, 0x6f9ab5c3, 0x827d7e0d,
+    0x34a0d1a3, 0x893e4b28, 0xf3a83111, 0x3e440e49, 0x86c9e9dc, 0x51dbd37f, 0xb4688b93, 0x978e20bb,
+    0x409d2a53, 0x00f4ec45, 0x9ab7422e, 0xd560fe98, 0x1351c4be, 0xaf56c61b, 0xad2cef38, 0xa0e6b2da,
+    0x00000000,
+    0x943f7a76, 0x9e167419, 0xdab2020b, 0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924,
+    0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000001273147485209\
+                         05380391777855525586135065716774604121015664758778084648831235208544136462336 */
+  { 0x00000000,
+    0x14bb64ee, 0x310f2f81, 0xa38b3d70, 0x682d5c22, 0x3fa0713e, 0x3013cb07, 0xd7ae5d2b, 0x20a9d09e,
+    0xd662b638, 0x3e77f13f, 0xd343aa10, 0x7414df67, 0xcd71effc, 0x6c39a729, 0x4f77485c, 0x02b4062e,
+    0xe7d988de, 0xfb4fdd79, 0x811cfd9e, 0x8192536e, 0xba4e683e, 0xd019a4ef, 0x3f17e863, 0x3f948150,
+    0x8424b743, 0x194c535f, 0x90b8e74d, 0x58b80f31, 0x3c717b16, 0x9a24bdcb, 0xd0e0a32a, 0x129150fe,
+    0xb840ee0a, 0x169f3138, 0x8392318e, 0x8cffd8d4, 0xbc7d5ccd, 0xa24b166c, 0x33cbbaf3, 0xb7a32cbc,
+    0x60a13a84, 0xd7766cf0, 0xa20718b5, 0x954208d5, 0x1610ce80, 0xc68e4e32, 0xd7fa5418, 0x0443ebee,
+    0xb9a8d448, 0x1bb9bc7a, 0x5aaf0614, 0x656c0711, 0xb6820580, 0xe6ee7a62, 0x77e47479, 0xdbbb673e,
+    0xb14e75f5, 0xd9bf65b9, 0x1aa3f5d1, 0x6885a204, 0xf28d177c, 0x4daf54cd, 0x6a180f73, 0xfce7911f,
+    0xe23ed91f, 0x0db3297f, 0x61f46611, 0xb8754cd9, 0x2244027b, 0xc1cab850, 0x417f0558, 0x88ca8793,
+    0x6652ee49, 0x40879775, 0x2edff611, 0x89322750, 0xdf195974, 0x8f26e939, 0x6bd29a8a, 0x033cbf1c,
+    0x93ef515b, 0x30ed2395, 0x03100dbc, 0x6aa5923f, 0x73a9f15a, 0x48c7a38b, 0xc62446a7, 0x99e75a63,
+    0x968cd210, 0x6bb70f8d, 0xf342ea3f, 0x3c277c5f, 0x9b7749f2, 0x9949d2fc, 0x3c5dab5c, 0xe4672d35,
+    0x088eb318, 0x8fd228b2, 0x01dcfd88, 0xf9e132ac, 0x6dc29185, 0xfb670b5c, 0x79cb2d31, 0xee7f1895,
+    0xad96c39f, 0x23beee3d, 0xfb28ebcd, 0x6c5bb871, 0x3120265d, 0x3e4ce9e0, 0x4445d621, 0xf6223ca2,
+    0x6ae29e84, 0xe49fdd4d, 0xea7676ac, 0x6b1c31d9, 0xaf8573e8, 0xbd4a136e, 0xddd68b49, 0x2b3b187c,
+    0xae304564, 0x807aa147, 0x7cba8e55, 0xe5166a73, 0xd0bf07c6, 0x150c8767, 0xfa1dda66, 0xa20bf972,
+    0x95396293, 0xdaf98b64, 0xcfb6f5d3, 0x2fc3a90d, 0xa27560c3, 0xfc39cf37, 0x77a2f182, 0x933cb18d,
+    0x7eaae0d2, 0x7c14529f, 0x538ccf95, 0xf85c41d9, 0xe097b398, 0x4073733e, 0xcbcc16a1, 0x8e75eaf2,
+    0x85be181d, 0x883d62a0, 0xf97c5d8c, 0xe6d6ac13, 0xea89d5d9, 0xd53f6a02, 0x9069ef94, 0x810d6997,
+    0xbf460237, 0xe1fea161, 0xa64572db, 0x0727352b, 0x194f39f9, 0xe1339b56, 0xb7f94dd2, 0x5f23d95f,
+    0x2fb75dd4, 0xca15dddd, 0x42ea1dac, 0xceb67789, 0xb815518a, 0x3b13313c, 0x6ac7e95b, 0x64079741,
+    0xa3f189ad, 0xc6da972e, 0x8e8f0c74, 0x1b4ad527, 0x12c56ea3, 0xf9effcf5, 0xca06b465, 0x57c2b93d,
+    0x5d14621c, 0x18b4ce96, 0x87c6474b, 0x947ccc65, 0xada943e3, 0x6e696258, 0x3d5a76cc, 0x72a141c5,
+    0x006e9fb4, 0xede5274f, 0x4e59b6b0, 0x7976cc25, 0x1b496e2a, 0x29915600, 0x3fd4d902, 0xebbfaf8d,
+    0x86bcfb76, 0x28d34c40, 0x0a737cb1, 0xf5357cff, 0xdad60978, 0xa7166f91, 0xde4c6c67, 0xff85c064,
+    0x227761b7, 0xa2b7f4cb, 0x278cb989, 0x204f7854, 0x67ffa8a2, 0xae3d2d80, 0xd8fab81f, 0xfc2b9ecb,
+    0xd856e831, 0x32325154, 0xb15786c9, 0x558848a1, 0x1e8f61d2, 0x0ec5bd98, 0x298027a5, 0xe681b2bd,
+    0x00fdbbf9, 0x3707b515, 0xcf6a3380, 0xf47bcc91, 0xcd1a5d99, 0xc27ef4ff, 0xaff3eb04, 0x01621ef1,
+    0xb4a7857f, 0x79ed9930, 0x441881d2, 0xd370b03d, 0x7e80d814, 0xef649c8f, 0xe25e415b, 0xa5814acc,
+    0x4dd5553b, 0x10a0f846, 0xfb412a0d, 0x32574a17, 0xdc5a9e2c, 0xa5eb62c5, 0xf24984cc, 0x9acd8279,
+    0xa44e05bb, 0xa07f242c, 0x4a45b6dd, 0xe0728ed1, 0x53cc0145, 0xb7d8806c, 0x0078ff7e, 0xf7283104,
+    0x646323d9, 0x33d8a1b9, 0x0d783ca4, 0x4ee8fdf1, 0x574ef370, 0x04f4e9e1, 0xfbacd3b9, 0x95656bf5,
+    0xd469173d, 0xa1982cbc, 0xf906b4fd, 0x9caceeba, 0x5517e16c, 0xf9b9fd2c, 0x79b5ca2f, 0xde9ae5a3,
+    0x3c3db555, 0x7a4e9c4c, 0x4a581d37, 0xff6da432, 0xfb86fc19, 0xe920ae94, 0x77cad60f, 0x7efe590f,
+    0x4c6f44a3, 0x12788a5a, 0x430fa762, 0x7c73ae6e, 0xa3f9aaa6, 0xa73cef88, 0xb0080c60, 0x2e845c49,
+    0x0cf57190, 0xbf567eab, 0xe059be0b, 0xa6b48976, 0x5b5d0eee, 0xb69ba679, 0x4bf0cc70, 0x5baaca33,
+    0xba582879, 0xdabc85fe, 0xdf593481, 0x80193bd2, 0xb883393a, 0x20ea8d36, 0xa521a901, 0x2930ac97,
+    0x5c0a4500, 0x288a4120, 0x8f7242db, 0x9802dc5a, 0xd3b8cbf5, 0xa33bf1c6, 0xb5b0368e, 0x33b48bd6,
+    0x252c1227, 0xcbc163f1, 0x1e4bfc79, 0xf6e0a81c, 0x927ff9b4, 0x2dac79ef, 0x24773412, 0xb1710d28,
+    0x90dc28e8, 0x9343c5b3, 0x08c2354b, 0x36790588, 0xb6d99856, 0x9a487732, 0x617bb8a5, 0x0d64aa4d,
+    0x3d17f820, 0x9d1369a4, 0x58ce2d0e, 0x5264c2ec, 0x27a8cedf, 0x5f9df946, 0x5567da47, 0x249221b1,
+    0x3312acdf, 0x3373d58a, 0x284cbd68, 0xef958d55, 0x1f5b08d6, 0xa747f2ca, 0x5d3b47a1, 0x07aa9505,
+    0x6ff19ce9, 0x645b04ca, 0xd63a2b41, 0xb6ebbc81, 0x0ff26b25, 0x3c2ab251, 0x85a30648, 0xdae96a71,
+    0x27f7e8bf, 0xed8bb028, 0x717702f3, 0xf6398867, 0xead52523, 0x15734dcf, 0xa301e136, 0x91b82b0a,
+    0xbb746df7, 0x051e4879, 0x32b2d372, 0x852b7621, 0x6d6ed048, 0x5cb798b2, 0x12324698, 0x4aa1e014,
+    0xc3919212, 0x46d55d37, 0x906974ef, 0x6fa8a40a, 0x2375f960, 0xab5bcb78, 0xd5571419, 0x672e4538,
+    0x4560b908, 0x35e8c082, 0xf8870734, 0x706e70a8, 0x38437017, 0x98322d20, 0x224cba2c, 0xfb5c530e,
+    0x0676079a, 0x1f1ec4e5, 0x26806505, 0x49a5da5a, 0x9d455ae7, 0x652b66bd, 0xfa74b852, 0x21016929,
+    0x2f5b5188, 0x4e87ca8d, 0x1a4f8ce8, 0xab9e7de9, 0xf3799ef0, 0xd6f77f4b, 0x1eaf8256, 0x45b751da,
+    0x9836d6ef, 0x13ef9b1b, 0x47bb6058, 0xa9c1d4c6, 0x43b39654, 0x1c6c2b58, 0x63e45923, 0x3d1b79fe,
+    0xb6277852, 0x872e967d, 0xeedc9572, 0xdef38244, 0x55c074fa, 0xfed24afa, 0x7afea2eb, 0x26e4e381,
+    0x452b8954, 0x01636aee, 0x7824fdb9, 0x2de17971, 0x8ac1748c, 0x0a2074aa, 0x87eec6e7, 0x27b6d5eb,
+    0xc7a5e2a6, 0x0d5591f5, 0x0c5ffc8e, 0x9359c71a, 0x8e0aadbb, 0xd0da2df1, 0x5b9e95f6, 0x15de550b,
+    0xba892d0b, 0x5d3ae0bc, 0xff9b0032, 0xeaaf763c, 0x649cade9, 0xcc77d28f, 0x1949c226, 0xf8b24e06,
+    0xf08d5ca1, 0xa9cd0569, 0xedef49b1, 0xe51218f3, 0x5e748e48, 0x3cf2cc8a, 0xfe7d01c8, 0x325c88ff,
+    0x45eeda85, 0x39dab477, 0xb7bd292a, 0xcd570c88, 0xceee8a49, 0xb2a54318, 0x652f0678, 0x8fb7716f,
+    0x648a4a02, 0xb8d2e3e5, 0xee16cdde, 0x52aef46c, 0xe2b06fde, 0x8a0fd5be, 0xa07df5fb, 0x62066d28,
+    0x825e8431, 0x54b2a821, 0x35dadb03, 0x1b01bb68, 0x6de8eb3f, 0x25467ef4, 0xf064c2f3, 0xe53fbff0,
+    0x854d3a02, 0x25f91813, 0x64596fe4, 0x038a3d9a, 0x68b04bac, 0x6ad8b0d6, 0xa6cefd5b, 0x5267a4ca,
+    0x845539f3, 0xfa9ba47c, 0x4c852168, 0x5f4d8666, 0x9b84b338, 0xfeddf623, 0x16cb2a24, 0x3d72aab4,
+    0x23cec66c, 0x75686f2f, 0x7a4db6ac, 0x808680ba, 0xe031a4a3, 0xd41fcb5e, 0x9ac68441, 0xe4dc8fe1,
+    0x74fe1499, 0x80660f85, 0x4e004553, 0xbaa6a51f, 0xbfea3afa, 0xd3ac9a00, 0xb1dae3e6, 0xb3de93eb,
+    0x6e59abf4, 0x09c46ccc, 0x7bb8ef61, 0xdcf97b8b, 0x198ce6bf, 0xb0c9100a, 0xbd9aef4b, 0x4efc9660,
+    0x7b7f6962, 0x41eee0e4, 0x49829bac, 0x395800d0, 0xf48bc1df, 0x25eb68ae, 0x2ff6628f, 0x74fc21dc,
+    0xfdb3e749, 0x50f62007, 0xfd6fff39, 0x76be1bb7, 0x35da24e3, 0xe07c0a73, 0x833c1b84, 0x1b8bd681,
+    0x8849350a, 0x671321be, 0xdde3cd1e, 0x50f0abb3, 0x8a79c2f3, 0x90ff268a, 0xb3593c09, 0x0c1ae6ba,
+    0x7a575e11, 0x1f47efd6, 0xd3657517, 0x1839dcf2, 0x684bed13, 0xd2bf868b, 0xb95f2324, 0x258e19d6,
+    0xf4da6535, 0x732e070a, 0xe9d9a50d, 0x41c1a32e, 0xd700b561, 0x7e9bfe4b, 0x16a528c1, 0xfd0f2581,
+    0x024a6508, 0x98ac8afb, 0xceab9839, 0x570b23b7, 0xc77e38b3, 0xc917cddf, 0x77fda759, 0x65bfdc18,
+    0x85bfbc80, 0xe239c4d0, 0xd6c315a5, 0x4b26eb14, 0xd05d1d70, 0xd4d64891, 0xf53c9a87, 0x29cc436c,
+    0x870eb9c7, 0xc957ed9c, 0x99a41fdc, 0xc3d0d43e, 0xd9925de1, 0x2ae4a829, 0x7987d7f8, 0x0b79fd06,
+    0x6d3a3fd4, 0x74792689, 0x0063a1e5, 0x2fe96f9e, 0xac33d2b1, 0x5b9a149f, 0x17030fbc, 0xfccfcfe9,
+    0xb807976a, 0x3c353e93, 0xe07ce85b, 0x6d77dd69, 0x88e0c84d, 0x4a4e5c3b, 0xc5a1ef04, 0xa4fba9c3,
+    0xae087229, 0x230f4441, 0x2f17b78f, 0xd64329d8, 0x462056b0, 0x38abe9bd, 0x7c62197e, 0x43301782,
+    0x5da42e60, 0xc7a08174, 0x5b2273ce, 0xcf48a17a, 0x9e883d01, 0x089a8242, 0xa217d735, 0xfbc7e651,
+    0xcc62e3fd, 0xfc904dd0, 0xfdaa3114, 0x0a21dcbd, 0x46d18f53, 0xcd732787, 0x1b9e4785, 0x058dfdef,
+    0x8aeae95b, 0xb82ebbe6, 0x11d170f0, 0x7a5d5701, 0x359434c4, 0xa11ab62b, 0x44c620ab, 0x50a78930,
+    0x124b0363, 0xb9e8d7ff, 0x6e625175, 0x71bea5a7, 0x0fd8b281, 0x126eb70f, 0x5d156be0, 0x21d380fc,
+    0x18d16e4a, 0x80936dc0, 0xc12295eb, 0xe3ef0a87, 0x723ad9b7, 0xb0da0a55, 0x9a20a08b, 0x2d1fa2f3,
+    0x8f24cc3c, 0x771ad95b, 0x5e40475b, 0xa347abfa, 0xa06e9691, 0xb9f7c40e, 0xdda2cbec, 0x3efaede6,
+    0x68dd9425, 0x000bc073, 0x2982e676, 0x0de78a3b, 0xbe787039, 0x4a400c32, 0xb4837abd, 0xe34179c2,
+    0xd8bc53c1, 0xcd70fbe7, 0x088381b1, 0x09cf1d4e, 0xe3f2682e, 0xe86a4466, 0x1359581e, 0xe2f0947d,
+    0x895f077d, 0xf3847657, 0xa3c54a07, 0xff31251a, 0x264cdbce, 0x0e2e8f47, 0x45637956, 0x71620e43,
+    0x806c6b8b, 0xf990278f, 0xbb4250e1, 0x91e7839d, 0x50e8cb34, 0x51a311fd, 0x068a7ea2, 0x2c3e7d05,
+    0x7714bc3f, 0x280d0d66, 0xaf75abb4, 0x718356f8, 0xfb4f96ed, 0x0308c1ef, 0x4e0b73bf, 0x9d264c66,
+    0x39981bef, 0x0d7a7647, 0x36f1bfb0, 0xe39d8fa2, 0x12330243, 0xbe35c94b, 0xffb9f678, 0xac4ab846,
+    0xf13aa0ba, 0x5e1c8d16, 0x146c885f, 0xb6d99898, 0x0878391b, 0xc5e4dd28, 0x51c13df6, 0x72161a2d,
+    0x61d0586e, 0x6f186d52, 0xa175018d, 0xa8e783f0, 0x3c778bc1, 0x70ce0a66, 0x8118b3ba, 0x57a6f248,
+    0x12ef0306, 0xa31939a5, 0x5ea3f7ba, 0x0e3d3e20, 0xab13f506, 0xf07c6c8c, 0x4016a001, 0x9ad3cb71,
+    0x81a2b17d, 0x3330972e, 0xba1346bd, 0xd7bc6e18, 0x26ad4e20, 0x107d36a0, 0x719a7d2a, 0x5080f7bf,
+    0x7b7aac3c, 0xf5d89ad3, 0x33536a6e, 0x20c76a49, 0xadd48371, 0x77526666, 0x0e5fb1ee, 0x3d4992cb,
+    0x6e4992a8, 0x7511cdfb, 0x738f8230, 0x9e38cc94, 0x65ce7b6c, 0x2e213580, 0x48b9a651, 0xe4eb147c,
+    0x8ce6781f, 0x968a224b, 0xb46b626d, 0x37294dc5, 0xfa50c902, 0x0fe33461, 0xe6694354, 0xcadc0264,
+    0xd179c50a, 0xdc259f34, 0x722d3483, 0x72dca4a6, 0xd3dc595c, 0xdbcbd94f, 0x9efcee65, 0x6e33561d,
+    0x3b47bb9c, 0x3514eca9, 0x375e5cbb, 0xb3731edc, 0x0280acff, 0xb183085a, 0x3aa3ebdd, 0x62554a7c,
+    0x263d493b, 0xa7c944ac, 0x17d96d48, 0x2cee73e6, 0x4e9c9613, 0x1c5db34b, 0xd72801ad, 0xf80dc377,
+    0x99348be1, 0xad99c25b, 0x173ebf58, 0xc0ca4b0c, 0xf1879fde, 0xfdcfc3eb, 0x2271d90d, 0x0d9f09e7,
+    0x051fafd0, 0xe29aba49, 0x4b46bea0, 0xa14b4754, 0x23db4f03, 0xfe749027, 0xafd0860e, 0x16ab5245,
+    0xb75ea5e4, 0xfd56e8ef, 0x8d542a9e, 0x8cf9d7a6, 0x8a4df381, 0x7be7ea6b, 0x8f71a6b8, 0x50e6742d,
+    0x431ebf4b, 0xd924a2f7, 0x29c544f4, 0x8164a7d8, 0xff61f7cc, 0x5aa78d01, 0x757265cd, 0x9ca8c849,
+    0x50be40e7, 0xe16e940d, 0xd4007646, 0x9b9da14b, 0x2b8d9b39, 0x5d92e775, 0xae0bd0b7, 0xdd95c795,
+    0xbaf3d5e6, 0x898fab7d, 0x0cf3a593, 0xddf120a7, 0x71fc2e77, 0x4a09f66f, 0x64ddb5a9, 0x3c10a965,
+    0x616e7763, 0x392a884a, 0xcecf97e1, 0xc4f712d7, 0x1aa8a3e8, 0x67fb8e71, 0x0389cacb, 0x13a65d00,
+    0x31fb376d, 0xeb5c3bd2, 0xee7c89cf, 0x84ea29f2, 0xf9f30543, 0x12d2265d, 0x2ff783a3, 0xe9448ab2,
+    0xcce5491e, 0x105ecf03, 0x6decb0e2, 0x91f1a92f, 0xdfd83529, 0x7f05e1b7, 0xa75127e9, 0x5d1acbf4,
+    0x5a7175ea, 0x28bd493f, 0x1ff69903, 0xf4c90dba, 0xba241c86, 0xbb3d1448, 0xf8ccb89c, 0x3b553410,
+    0xd3c00f70, 0x27e15061, 0x906ad43e, 0x08ee29c2, 0xc39c2549, 0xc33359f7, 0x018a2941, 0x9a105594,
+    0x5fb46b22, 0xe0450df3, 0x0cb3ad7f, 0xebe8445a, 0x5184eecb, 0x6ab388a4, 0x49860129, 0xcb5e443b,
+    0x5b626fba, 0x6e1fd32d, 0x3adf7297, 0x1dcafb15, 0x61a89af9, 0x1ac1703a, 0x565b6965, 0x44babe72,
+    0xc873b93e, 0xc6be3ac9, 0xdaf9d2f2, 0x3f6a3726, 0xeccb51e1, 0xfb2fb2e8, 0x199af9ad, 0x80f1c5c7,
+    0x5834cdad, 0x5f4163a6, 0x79857681, 0x5550036f, 0x95824eec, 0xff26effe, 0xdfde50b1, 0x336564fb,
+    0xfdca6c42, 0x08ede2f3, 0x03ae76ca, 0x6f594afd, 0xc2dc09e8, 0xb26a2f03, 0xd76d2598, 0x4e72188b,
+    0xfe324f4d, 0xa5200c32, 0xb7f4ee87, 0xdbdbe99e, 0x618e98c9, 0x060efd61, 0xfdad2f72, 0x0e16579b,
+    0xd87ddc8c, 0x3f7126da, 0x157a9372, 0x0ddfed87, 0x43060453, 0xc3cf8416, 0xabe3a26d, 0xd64df538,
+    0xfc2cd4db, 0xf8f7ba5c, 0x79005351, 0x49877265, 0xb2bd4b88, 0xf7f97969, 0x89d4a391, 0xf3467f80,
+    0x5fa12f2c, 0x16cd9665, 0x67c705b6, 0xa11cfc51, 0xac560182, 0x88e12dbd, 0x2e8956b1, 0x6d0c1ba2,
+    0xc237bcf7, 0x9d9fb528, 0x7d35825d, 0xf04e526e, 0xe549ad05, 0xd58f16dc, 0xd3d9dfc7, 0xe0cd3136,
+    0x879a5443, 0xaeb9fd72, 0x58598781, 0x3c6b33c7, 0xfc806a54, 0x3baab0b2, 0x95d283b2, 0xdc47178a,
+    0xb7a43247, 0x154e9452, 0x706a2d6c, 0xdb4eb642, 0x7b39a071, 0xb62615d7, 0x2e547f9e, 0x101c4b1a,
+    0x01aa87e9, 0xfce806de, 0x9e11b12c, 0x68b26c5d, 0x058a173a, 0xe2541651, 0xb5f2d1a3, 0x01405cd9,
+    0xca9faf11, 0xaedf4a69, 0xe481412a, 0xb3bf0164, 0x3aa82543, 0xac3b7e7e, 0x67a3d329, 0x2413680f,
+    0x8319abdd, 0x2d3993fa, 0x80fad68e, 0xe3a9c6ca, 0x02b600f7, 0xc0da977b, 0xbe90fe47, 0x430c0a30,
+    0x6a170a92, 0x95430ae5, 0x9d76165e, 0x165f2f65, 0x385a2296, 0x988d0029, 0xb6d3f7dd, 0xddb0ac61,
+    0x290a321e, 0x8eeafb56, 0xa32e6dea, 0x7621b70c, 0x684287bf, 0x28953e6e, 0xe2e9722d, 0xc6a56c00,
+    0x69aaf3fe, 0x19c4b7c7, 0x1d27bffa, 0x54f8ad2c, 0xa5853d22, 0x035e7690, 0x30628f36, 0xb8c14226,
+    0xec7eec53, 0xaa4ff140, 0x3d2261c1, 0x307abcbc, 0xf0ecc428, 0x0cf5d46d, 0xc7e8f63f, 0xcaf4757d,
+    0x00000000,
+    0xca1fbd3a, 0xcf0b3a0c, 0x6d590105, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92,
+    0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000636573742604\
+                         52690195888927762793067532858387302060507832379389042324415617604272068231168 */
+  { 0x00000000,
+    0x8c9448b5, 0x86207b81, 0xa413c084, 0x46dfe97f, 0x6b6c9f83, 0x5cc02113, 0x6e7c402a, 0x0793b577,
+    0x1685c392, 0x3e1a387c, 0x8b588525, 0xc2b9826e, 0x48034a4f, 0x749bce0b, 0x2013578c, 0x01e3deaf,
+    0x935bb40d, 0xd8e46472, 0x08cc894a, 0xe80d0e5a, 0x78f04345, 0x7e9c106d, 0x423b44fb, 0xe0fbbd98,
+    0x68e31b84, 0xe7e066df, 0xa5e424d2, 0x944c6e21, 0x75c718a2, 0x98b76b73, 0xec9403a8, 0x6655788f,
+    0xa05020e7, 0x6655fc59, 0xfeaf6c45, 0xac010eab, 0x83c439c8, 0x087bcdfb, 0x5df774c8, 0x679b668f,
+    0x3b0e7f4c, 0x50f6faa1, 0xb534f39b, 0x8acd9cd7, 0x9e95d8af, 0x15a60f2e, 0xc344b04c, 0x6406f9f3,
+    0xa10b619d, 0x87840ff5, 0x2ba9dacb, 0x2d225627, 0x912ae55b, 0x814c264e, 0xd4a8d54f, 0x17c9b95a,
+    0x2bba1dee, 0x8654f904, 0xed1ebb37, 0x8bc8a6c8, 0xcd75e325, 0x88d77290, 0x0d6023d5, 0x4f11ce52,
+    0xacfd9275, 0x4f714291, 0x63364d35, 0xb62526d2, 0x84d4515c, 0x390c8e66, 0x2f507b99, 0xda88940f,
+    0xf09fb53d, 0x4542e3b8, 0xcadfc669, 0x6bc21d2a, 0x46a8cad2, 0xdabd7869, 0xec57138b, 0x93045476,
+    0x68ea7fef, 0xa042c73f, 0xe1bfd917, 0xe4c37bf0, 0xc730042c, 0x4f8f1ef2, 0x5a2518e1, 0x28e2f826,
+    0xefe50063, 0x64ca0603, 0xa614f1f7, 0x9041ce58, 0xf7dcc5da, 0x4fd4dce4, 0x9ed6a1f6, 0xa23daff2,
+    0x048210cd, 0xd1554037, 0x9fbcec93, 0x20559d19, 0x352dad2e, 0x56618810, 0x9ad9c76b, 0x003cd3bd,
+    0x5eb99b74, 0x781b122f, 0xf8152cf6, 0x953cd4eb, 0x54a1f8f1, 0x3c252bd7, 0xd0a3050a, 0x111fcbaa,
+    0xdbb3557d, 0xf626f8db, 0x4e0f5161, 0xfb7c7ae2, 0x32ddd764, 0x1ae84b78, 0x389dcb44, 0x626288d1,
+    0x9ad91e04, 0x0efd9f5d, 0x6825dfc7, 0x66ddc003, 0xe3f3e603, 0xc052764e, 0x819512ec, 0x58e0256a,
+    0xff8fce5a, 0x4361647e, 0xf88a404e, 0x0f98ba79, 0x55ea15a2, 0x1a49a05e, 0x9962cdeb, 0x9d9b796f,
+    0x4db3f690, 0x9dda99c5, 0xc2c6d647, 0x2a96df67, 0x8d499987, 0xc3602952, 0x26213f8b, 0x8461b068,
+    0xaf63bebb, 0x9b0eb74d, 0xad719d07, 0x448a4be2, 0x4892d42d, 0x53747109, 0xfa0142da, 0xd4ab5d30,
+    0x75a60b32, 0x65312223, 0x7d587871, 0x08bca673, 0xd3869495, 0xb715f16e, 0x5800b7e4, 0xafce9c24,
+    0x0ad3d869, 0xb5add291, 0x7374a3bb, 0x5b6f3662, 0x31f62dd7, 0xc086b9ca, 0xd23c0010, 0x6a5cb52e,
+    0xecb5b42f, 0x35370eb5, 0x4e70d549, 0xc3afda63, 0x837e351e, 0xb00415d6, 0xa1b24a84, 0x1baa9ad5,
+    0x4311a05f, 0x2f158b08, 0x64cc547f, 0x5f578244, 0xb787db61, 0x5a4aed1b, 0x003335a4, 0x26a395e3,
+    0x02caedc2, 0xe4871eb9, 0x22634916, 0xce41a7d2, 0x7a9a5397, 0x9f8e1f60, 0x339ec8de, 0x21df33d5,
+    0x8613cf29, 0x9201acaa, 0x417031b4, 0xdb9ee855, 0x5e24cbc7, 0x82ee73b2, 0x3e705a8b, 0xa75203ca,
+    0x9c1e61d7, 0x647ac82c, 0x4c834117, 0x4fdfbf77, 0x0c9cc0e8, 0x46f765c8, 0xb9a16005, 0x820787ab,
+    0x0fbb9235, 0x91d5fdc4, 0xb31b8a8a, 0x26341104, 0x9ac39230, 0x0da37b9d, 0x751acbe7, 0x6e94be96,
+    0xbd712e0e, 0x612c28b4, 0xedfc652f, 0x1a4f6b99, 0x2bb9eaa1, 0x73403e05, 0x19bcaf94, 0xecd6fb02,
+    0x22887efe, 0x7a5005d2, 0xb8fed2d0, 0x83f7b359, 0x8d41426b, 0x18de0934, 0xd6f8e324, 0x605c8bb2,
+    0x486e9686, 0x26148679, 0x3a771d98, 0x9879392e, 0xd928825f, 0xa02e6bdd, 0x01438c3f, 0xf627f9eb,
+    0xf47de735, 0xd14d1868, 0x47220b07, 0xaa2ea09f, 0x48663324, 0x297e4f61, 0x9f92f4a5, 0x075f6b38,
+    0xbb1dba4f, 0x901905d0, 0x5e8fe496, 0xd9b2bdcb, 0x95509b68, 0x2da51613, 0xf9c970cd, 0xa74284ca,
+    0xda8a03ee, 0x022f5708, 0xb2a15025, 0x3f946548, 0xa1ab2757, 0x27ee9969, 0xf96f9f4b, 0x5dbe03a3,
+    0x9ada5d2d, 0x522d0cb4, 0x34801621, 0x6c23f4e5, 0xe20067bc, 0xe24a18b5, 0xd09dce80, 0x0e8c8f00,
+    0xe52350e8, 0x68706cdd, 0x6a112552, 0xe387324b, 0x52293dc9, 0xe4202bbb, 0x07f6cf45, 0xa723eb06,
+    0x775965b1, 0x979b88f5, 0x4d4267d3, 0x7761ecd7, 0xd8eec50f, 0xe1590a69, 0xbc1c153f, 0xa40b49cb,
+    0x790b3624, 0xc98b79ae, 0xdbb0316e, 0xac559971, 0xd9a617f4, 0x8b7ea989, 0xbb19407a, 0x7e4133df,
+    0x27e9ff90, 0x44b697a2, 0x6ed53dc5, 0x1b460906, 0xac679255, 0x92514111, 0x32b8f8e4, 0xd9c5e97e,
+    0x1a7ed42f, 0x99793256, 0xee24d49d, 0x5c0094b9, 0x1e0b078c, 0x6496e9bd, 0x4965c6fb, 0xf939e3ca,
+    0xf3a6b646, 0x87954467, 0xdaf8a54d, 0x1cdfae90, 0x0c2145fb, 0xa81ea207, 0xf29bdca5, 0xd03b2b50,
+    0xbcf4dfa2, 0x0f4d8e2b, 0x7e7cb361, 0xa2a87c2f, 0xa10f5fa8, 0x1e932c26, 0xc00f5a66, 0x39d944b1,
+    0xb32860b6, 0x4a79aade, 0x815101d4, 0x9c1a8874, 0x9d228526, 0x65a9d0fe, 0xb85e9666, 0x181112ef,
+    0xa9a9d0bc, 0x27a19a55, 0xea570931, 0x4383cc6a, 0xeb32a04c, 0x9f009b67, 0xea73dfdf, 0x26c0b576,
+    0x1b7edf7f, 0x63f0a2f9, 0xd826a321, 0xdb5629a3, 0x6b4688ae, 0x2f3a422f, 0x5e817a46, 0xb7aa0ba8,
+    0xa561bb66, 0x07767ddf, 0x4c3dbc53, 0x183e594c, 0x350de770, 0x32414bf5, 0x00c2c346, 0xa53ef1c6,
+    0x12d34e31, 0x2b0a2b5f, 0x62e7e9b9, 0x14adfb48, 0x75e9f043, 0x16afd6cb, 0x50471490, 0x2f59ae12,
+    0x381ef20e, 0x834cf9c0, 0x2f01783e, 0xf6be4ebf, 0x7babb974, 0xa943c2c4, 0xcc1b6fae, 0xe57447de,
+    0x6c973907, 0x7f55064a, 0x70427dea, 0x01983e6e, 0x1605a1e4, 0xe0a9a201, 0x838627ae, 0x292bfeca,
+    0xe2728b4a, 0x89d7da38, 0x011cad12, 0x78ea11a4, 0x069b2709, 0x67394448, 0xbb98db99, 0x6d9de89f,
+    0xea289999, 0x66d64a34, 0xa0d3e879, 0x2d7b1071, 0x23bace15, 0x34d02480, 0x16c63455, 0xd2fce4ba,
+    0xdca4941f, 0x5258460f, 0xca8d02fb, 0x829249fe, 0xff25f891, 0xe68ec2c7, 0x6ea54a28, 0x76b6dfbe,
+    0xe7a82630, 0x08c9172d, 0xdfeb1fa0, 0x22fdfdde, 0x72ce4361, 0x0867fde8, 0xd65e1ccb, 0x6c6765e0,
+    0xf4555f1e, 0xca45e1ea, 0x5d6b1c12, 0x35722591, 0xf93b5196, 0xb2454223, 0xc48a4595, 0x89502d34,
+    0xc14415d7, 0x2e6e29ac, 0xe7df60bc, 0x6024a10e, 0x2bc9a3ad, 0x37a039a0, 0x0397ed12, 0x18f6cfbe,
+    0xb2a10657, 0x3b290c7a, 0x99158fa5, 0x96fde805, 0x94a149f8, 0x85cca591, 0xb31edfc8, 0xa3203c54,
+    0x98253ae7, 0xdda00abe, 0x98e365e7, 0x0cc7f6c3, 0x9b832fb8, 0x6eac94f2, 0x16e404ab, 0xdeef3f98,
+    0x3473f1d0, 0x144c37df, 0x3d223bc9, 0xb82d8581, 0x27ecb987, 0x8e955ceb, 0x969bb3a5, 0xca1956ac,
+    0x608b40e9, 0xd484cd19, 0xf2283cc5, 0xb794230c, 0xab40d290, 0x34b45af8, 0x20902cec, 0xfdd4dc70,
+    0x2b76b9fe, 0xcefd4843, 0xf4f14cec, 0x25efb7a9, 0xf3c735b6, 0xf7876a25, 0x58644c0b, 0xaf8efa5b,
+    0xf9d31f16, 0x10e3f141, 0xb375b3f9, 0x5d265399, 0x75d770ad, 0x758397ac, 0x9997dc3b, 0xe6623f30,
+    0x96b59cff, 0x9556f562, 0x58a75e49, 0x41b7c924, 0x98566089, 0x9af4c5ae, 0x72f45cec, 0xcd97ea09,
+    0x7bb00f4b, 0xd1891ed3, 0xcfeb7a38, 0x4e55cf24, 0x3d665c48, 0xd487a81d, 0xed229af5, 0xa4bb9e18,
+    0xe7839cbe, 0xb9c085af, 0xfa96fdb1, 0x18f6e33f, 0xcbcf8fc4, 0x9906354c, 0xd35b53d1, 0x252c3731,
+    0xaf14ed40, 0x0b80b4b3, 0xe7bbbd79, 0x9034bf8b, 0xb0d0782b, 0xba0c7119, 0xfd9161f8, 0x03550d7a,
+    0x0939cfc4, 0x78ad3a7d, 0xb767a887, 0xa338b063, 0xdb5b74d5, 0x526bf1d8, 0xa9ec5d2a, 0x58937655,
+    0xdc222e79, 0x54f8fb05, 0xca183bb1, 0x87060bed, 0x4af023b2, 0x004efbde, 0x89533843, 0xd360b62e,
+    0x32a0f6de, 0xcd56d3dc, 0xc694944a, 0x6ce126e9, 0x69c5d5a0, 0x00753952, 0x347e49c0, 0xd3bb9542,
+    0x9786f847, 0x6187411b, 0xfd1379a5, 0xa1d3e615, 0x623f3c50, 0xe438027a, 0xdaa40477, 0x9219ebe1,
+    0x00432dc8, 0xbd1e5a60, 0x5ce42524, 0xd81c9aaa, 0xa10f5e48, 0xa0a62774, 0x81a57683, 0x1cb22d62,
+    0x9762ca1c, 0x18732df0, 0xab719f8c, 0x0cd83c66, 0x88e21689, 0xfc98c8b2, 0x4ff8ebdd, 0x816248c3,
+    0x152f564a, 0x0ef1498d, 0xe4d7865f, 0xd8c22f19, 0x00a2891e, 0x199094bc, 0x194f97c5, 0xca1fe4cd,
+    0x451cb10a, 0xa3e9d0ba, 0x45714443, 0x292f97d4, 0x7b982020, 0x81028f6f, 0xd8687b58, 0xed34346f,
+    0x26061bc3, 0x5080193f, 0x90248b69, 0x9079f6eb, 0x29348bda, 0xc437b14d, 0x86554bb7, 0xa921965d,
+    0x1a22cc6a, 0x1f875f8d, 0xe441b1d5, 0x177bb138, 0x23135354, 0x9787f973, 0x775cded8, 0x1905cfd2,
+    0x8881c7b6, 0x1fb8e226, 0xd53dce99, 0x74aec6a4, 0xc9fb7872, 0x9a4266a7, 0x53828466, 0xbf960bb5,
+    0xbe4d2679, 0x4942b36a, 0x467f7d27, 0xe0aed010, 0xf9d70f36, 0x86064cdf, 0x0ac28ea6, 0xc9ff9376,
+    0x61beda8f, 0x778bd769, 0x75ea6d35, 0x6d3c0a05, 0x77c82be8, 0x65eba45b, 0xf3ca46eb, 0x5f6071a7,
+    0x92760562, 0xb1415602, 0x00976758, 0xf9c4f6d7, 0xac8b2e70, 0x3793662b, 0x8f3850f6, 0x7cab264c,
+    0xc26d3068, 0x351834f9, 0x6943315b, 0x6d7cf207, 0x9eff6518, 0xdb4e7425, 0xeca70832, 0xb442477b,
+    0x827fd7c6, 0x2d8b4a2f, 0x8fd12a6e, 0x25cf5b47, 0xceeb6e66, 0xf52e7665, 0x02176183, 0xfa07b781,
+    0x426b49bc, 0xf4d12441, 0x3254d58e, 0x61fd2fc4, 0x880a6277, 0x5470c303, 0x1f41a746, 0xf346ae01,
+    0x24e79b19, 0x20278838, 0xb030b3b5, 0x20d5bf0c, 0x9324c58f, 0xc79f9c5e, 0xef30eddb, 0xd06ba564,
+    0xa535a7dd, 0xc8390197, 0xea24d8de, 0x259872cd, 0x31f2fa55, 0x0d365079, 0x30b60715, 0xccff997f,
+    0x557f9f05, 0x8300c4bb, 0x22ebffcf, 0x6f0d6919, 0x5f4a1b70, 0xe455d5ae, 0xcc93476c, 0x11e9a001,
+    0xd0cfa69a, 0x6dbf2f1b, 0xedad0d07, 0x284c5552, 0x8e14269a, 0x376e9ef8, 0x0789370c, 0xfb539163,
+    0x61ede205, 0xca2be4e2, 0x31af992b, 0xadd5c04a, 0x40674c43, 0x8441a47c, 0xd71db9d1, 0xf53b528d,
+    0x09c2ecd9, 0xc51c3123, 0x052930f6, 0x2db32307, 0x5e22fd75, 0x570719f8, 0x8238dd48, 0x2b7686a2,
+    0x6d72a46a, 0x0e182440, 0x51400ddf, 0xde75692e, 0xda41aab2, 0x7519f7c8, 0xbcfb671a, 0xb6b25dd7,
+    0x5cd4de25, 0x3853cc57, 0xfa9c8e3a, 0xc074345d, 0xebfd13a7, 0x5d065c8a, 0xb99a9bea, 0x175c9bb6,
+    0x70266e5a, 0x53b093a2, 0x06f839d2, 0x6610f7e6, 0xf926f44a, 0x6ce33442, 0xc6cafb2f, 0xce6773f5,
+    0x83719b5b, 0x1210fd8e, 0x818e645b, 0xd26ff900, 0xc6c73607, 0x9198abdc, 0xb10a1f78, 0x63f87e59,
+    0xf875821c, 0x433cd219, 0x799070df, 0xa2b4f0f1, 0xede17cec, 0x5775fcb6, 0x3404207d, 0x0a158b9e,
+    0x801b993a, 0xe19fa099, 0x9359d561, 0xf10a71d2, 0x0fa9d732, 0xa4950430, 0x30ee0c52, 0x8c6cf132,
+    0xd2b9aa31, 0x1258eec5, 0xb2432bdb, 0x70a6e5b9, 0x3431d03b, 0x192f4f27, 0xd9f3f94a, 0x7390e739,
+    0x1096929b, 0x5a22b8a7, 0x68f2d53d, 0x54fe0b68, 0xe7be08b3, 0xe61e4037, 0x4e3fb632, 0xe101d5fe,
+    0x5a12c3b9, 0x6b6b49cf, 0x78c02661, 0x6850e6e0, 0x266f0db7, 0x9312aabf, 0x454251c2, 0xe6962021,
+    0x31613b1d, 0x62ae032a, 0x19a3349f, 0xce78f27e, 0x57500977, 0x43179a61, 0x3375b407, 0xba1a6ab1,
+    0x3bd9329c, 0xa256efc2, 0xdaf57b66, 0x09b95696, 0xb0b85265, 0x57073527, 0x83572b15, 0x5495f1ac,
+    0xdb45f728, 0x2b8d7fdf, 0x982e782e, 0x93ddecc9, 0x5b9888a7, 0xaab38e29, 0x25109bba, 0x09064e92,
+    0xaee28dba, 0xe497aa61, 0xa91f280e, 0x0ed0bcf2, 0x8c549ec6, 0x23ca8c88, 0x2e4d97f4, 0x636d1577,
+    0xf6990d17, 0x67f8e1dd, 0x35d13eee, 0xacdd052a, 0x109cd2d2, 0x5ad0d8d2, 0x2eaa9f4f, 0x863955d9,
+    0x06d29456, 0x01d08208, 0x74d5d947, 0xc9d382a8, 0x8bfe31c9, 0xd3f91804, 0x9ffc1e6c, 0x192286b0,
+    0x2eaca57c, 0x28df4587, 0x7fecd3ac, 0x1b1735be, 0xa31cef43, 0x08fcdba4, 0xd5d3ecc0, 0x68e7573e,
+    0x82c99410, 0x6d773e87, 0x71e5f0d3, 0x73617b9f, 0xc5f9d8d2, 0x7f2337e6, 0x19733797, 0xc773d6ed,
+    0xc1925a44, 0x94956256, 0x1f689a58, 0xf7f5f2c1, 0xc3e784b9, 0xb774950f, 0x9e41c760, 0xa85c3999,
+    0xc86b6113, 0xaa390818, 0x42eeb191, 0x0287a2dd, 0x92dab3c0, 0xbd344d69, 0x346f395d, 0x5de22c85,
+    0xd41f030a, 0xb8d1b38b, 0x4ee07351, 0x0f4f3799, 0x76406d04, 0x3869c785, 0x6133c2e0, 0x49c5df34,
+    0x28012dce, 0x54ade0ca, 0xfffe3cbe, 0x9fde75d6, 0x9bb9bb8a, 0x6c3bcc51, 0xd2730a48, 0xfe1f5ba2,
+    0x0e18618c, 0xd80ce6df, 0x9a9709c6, 0xeecc3a32, 0x9d7bbde6, 0x95864478, 0x579844a3, 0xacf29b51,
+    0x090e2ae4, 0x4c6a2398, 0x1dd2df76, 0x9fa3aacc, 0x80ee9f2a, 0x6d3122de, 0xfd4f948b, 0xa5e214b2,
+    0x9de4e217, 0x04257cfa, 0xd72da167, 0x5a0e7c65, 0xd3c1f605, 0xf8fe990e, 0xa44ef779, 0xcb9c6a87,
+    0xefa5ed59, 0xe26c508f, 0x3d2b3b67, 0xcf8e321c, 0xc1c1baa1, 0xfd3ac690, 0x559b695f, 0x55ad9aaf,
+    0xd2ec0728, 0x50fd0fd1, 0x9fa0aafe, 0x7e29df81, 0x477e37d8, 0x9432d18a, 0x6ee23d33, 0xd116abf2,
+    0x49f0d7e1, 0x4ce12cb6, 0x93cb0184, 0x78868ff6, 0xd2d7992d, 0x6d89e2a2, 0x36e9e517, 0xa67097cf,
+    0x08ba7f13, 0x8bdd257c, 0xd485aa22, 0x9ee35849, 0xae2f0bad, 0xa8f7a500, 0x9d5acd94, 0x757739ee,
+    0x34a9e14c, 0xf249822d, 0xd9bd07c7, 0xe1157361, 0x5b14a53a, 0x78d3a0bc, 0xfc6092a3, 0x7bf3e1d1,
+    0x7196fd0f, 0x3fccc5f2, 0x61a3492f, 0xc5624bbc, 0x5618e556, 0xa7d06567, 0x41b599fd, 0x8ff1a8ea,
+    0x5f49381f, 0x70081b36, 0x0cddb373, 0x77147f06, 0x10510f2f, 0x63d95451, 0x1703d936, 0x27695f67,
+    0x39fa84b3, 0x14bc0ad2, 0xcd3d5cec, 0xfee2806a, 0x0a33a9e9, 0x80db8bc5, 0xc451dcf1, 0x3b7df9c7,
+    0x964752e8, 0xf444f75c, 0xf249950d, 0x690c10f5, 0xb7876013, 0xe67a18ee, 0x20591cba, 0xa24877ea,
+    0xb6aa7a14, 0x6f6e9747, 0x61f918ae, 0xaa5b1c02, 0xad2bbfa1, 0x559279e8, 0xb6fa9fa6, 0x7d98d7ed,
+    0x0d8a27e2, 0x0303a58a, 0xce970234, 0x8a2ad81f, 0x116fa1e5, 0x080717e0, 0x8c531fd3, 0xf09fe0c0,
+    0xdb7d4815, 0xc795588f, 0x1c2373af, 0x18a87981, 0x03770883, 0x3ae8820c, 0x22b13c61, 0x3ae40f39,
+    0xcd7c67c3, 0x56f07ca7, 0xd92b3b8f, 0x5ee812ce, 0x754749e9, 0xac3f0aac, 0x4549d2bc, 0x9106717c,
+    0x8c37f4fa, 0x70d561fc, 0x44b20fb5, 0x998a3893, 0xa9502f6c, 0xeaa37ae9, 0xdc7824a9, 0x27bad7f6,
+    0x7a194f48, 0xf53ea490, 0x39f240a5, 0x0c1b59ec, 0x642c0faf, 0xd7c6bb33, 0x988c5e6c, 0xe3f0894b,
+    0x00000000,
+    0x650fde9c, 0xe7859d06, 0xb6ac8082, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49,
+    0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000318286871302\
+                         26345097944463881396533766429193651030253916189694521162207808802136034115584 */
+  { 0x00000000,
+    0x1d35fa7f, 0xc2e727d2, 0x36fcac57, 0x5297b035, 0x451d1625, 0x277fec24, 0xc13dbee0, 0xe169b8ba,
+    0x2ac2a4d6, 0xda0b2937, 0x5221f9ed, 0xf49114d5, 0xeab5c839, 0x94cf36bc, 0xd28144ad, 0xd7d8bc17,
+    0x07318833, 0x488d0a98, 0x5169adfb, 0x829df9be, 0x5c5f4c5c, 0x6b1c2101, 0x01530b58, 0x315c03f5,
+    0x4e82fe5f, 0x4c497c87, 0x7ffa3b22, 0x9ec882dd, 0x16d66bc0, 0xa7bbb78e, 0x0ab57c1a, 0xe7c05a2e,
+    0x299d8281, 0x24c5df51, 0xdab53758, 0xa555e8c0, 0x77c980de, 0xca213fce, 0x727f1189, 0xe91c5e00,
+    0x903eb12e, 0xe3705813, 0xca06ff69, 0xc1123750, 0x51970b85, 0xf0c6edc7, 0x3265224f, 0x9cd3cb55,
+    0x5e4dcca3, 0x11e8cbc1, 0xf77834e1, 0x004dfd1f, 0xc2932f20, 0x2f1f0f0a, 0xc97f9c22, 0xed6f0316,
+    0xa45861b9, 0xfadc22ef, 0xf8af7d7d, 0xe6324bb0, 0x53219e16, 0x4a734f88, 0xa802bfe4, 0x73f51946,
+    0x27500fba, 0x5c9f84f0, 0x6c69114e, 0x5c4d3dc4, 0xb94a0f4e, 0x9a2bbf97, 0x13671aec, 0xff3d1805,
+    0x78c80c0f, 0x3057375d, 0x17f6a67c, 0x5ddb0b58, 0x55c3c22d, 0x2f6661bb, 0x570720f1, 0x6c562d8a,
+    0xa10fa685, 0x84edad75, 0xe8988170, 0x11b61f01, 0x833f4e86, 0xd84b4fca, 0xb825ee25, 0x17d904be,
+    0x3baeaf3e, 0x17a028b7, 0x784cef57, 0x08b4a32c, 0xdd1f9df3, 0xbb096219, 0x028c6d1a, 0x3738f985,
+    0xe75e86d5, 0xe567589e, 0xd7ca7a3a, 0x7cbb21bc, 0x7dfb2906, 0x92a2a5c7, 0xd45d62d8, 0xc1b78ed9,
+    0x31350a6e, 0x85cd61e8, 0xb9395de6, 0xea16d758, 0x2adb1111, 0x1227c4d0, 0xd86f96c2, 0xe4646dba,
+    0xaa3e56f1, 0xca6c5614, 0xe802bdc6, 0xe60c7c7e, 0xffa5f384, 0x8d536ac2, 0xffca43c6, 0x1d6015d4,
+    0x36e780c3, 0x00fc16b4, 0xf2fd1e7a, 0x49ff740c, 0x01bb4e2a, 0xcf5decc1, 0x861068d8, 0xfd14d986,
+    0xdb248828, 0xf0cc1027, 0x439b0451, 0xa523eb9e, 0x2ae7ee6c, 0xc619e82c, 0xc854d131, 0x3a83e023,
+    0x8e031b76, 0x58663417, 0xed0263d8, 0xe0a9e542, 0x433f6033, 0x71428bb7, 0xa13fd26f, 0xa6f8fd6e,
+    0x2d77f4a6, 0x70bc91c4, 0x09085538, 0xcd460e58, 0xc88b83cb, 0xed9dbcf4, 0x74290962, 0xb01425f8,
+    0x19cd159a, 0x01234c7e, 0x27d32de6, 0x7b1a81c9, 0x56851ed6, 0xe828c783, 0x5b1eca0c, 0xc9c6e663,
+    0x9fdcde8a, 0x7d81f033, 0x5b7d7b48, 0x42b035ff, 0x7c81dc4a, 0x723f4d18, 0x19c30352, 0x322cb004,
+    0xb6855219, 0x4ae5f31b, 0xd53b989a, 0x4f55b759, 0x44aeaab6, 0x520dae7d, 0xec14473a, 0x037d9ce5,
+    0xee931003, 0x91daa8f3, 0x50ac8641, 0x7038c953, 0xc23de10c, 0xd1cd2b9e, 0xd15e7249, 0x55f8e451,
+    0x1f02dfd0, 0xd795472f, 0x281d6f37, 0xc73fb6f1, 0x56a2b656, 0xe59b13fd, 0x8762a3e8, 0x2ac5c899,
+    0xa0da981c, 0xb29a27c0, 0x28acff62, 0x463946c4, 0xcd7deac6, 0x84073f09, 0x88e40472, 0xdea76c65,
+    0xaa50f686, 0x4ce31eff, 0xcb5e0a38, 0xc805f354, 0x9e92c3c4, 0x83b9bab8, 0xe8b741ee, 0x1b240596,
+    0xe3b886a1, 0x7ff76387, 0x0c551c37, 0xa67f8d4e, 0x2b18c6f5, 0x57a6ee57, 0x4ccc44e3, 0xdcea956e,
+    0x7e130fa2, 0xa38c2930, 0xa555c67f, 0xf80c266d, 0x7b4d02c3, 0x8703756d, 0x48422cbe, 0x64d3fc33,
+    0xba6227f9, 0x7c2e5a10, 0x59929142, 0x18e66082, 0xc3015f20, 0x97657f20, 0x540323a0, 0xb5dafafe,
+    0x0ff99991, 0xf2825502, 0xb445fa37, 0xd801ab70, 0xdb178d50, 0x1ca64ff6, 0x2fd2c1ce, 0xb0a7d539,
+    0xf2ca1263, 0x4dedd0cc, 0x50ebc05c, 0xeda36699, 0x1d937196, 0x98df2070, 0x820458ab, 0xd5e4ff18,
+    0xf1a43cb8, 0x2d3bfe55, 0x349ca3ee, 0xfc12b1df, 0x5e5e06f5, 0xf228cecf, 0x8c5299bf, 0x732ac213,
+    0x92735bcf, 0x86a067cb, 0x7ccdbbba, 0x8fde9c72, 0x15aa5beb, 0x4a24ee3f, 0xa3e9a736, 0x46aa4305,
+    0xae4aa513, 0x7af79d62, 0xa607b511, 0xbc0dbf6e, 0x06562002, 0x9bbab068, 0x7b8e28a3, 0xc1593595,
+    0x3aa60136, 0x7cc72e8f, 0xe6686752, 0x019fc4d0, 0x64bd7a9d, 0xd93689b8, 0xb2600518, 0xce8fbf8f,
+    0x1a1793d9, 0x7c302dfc, 0x4eac221a, 0x38e66dd8, 0x4408af6b, 0x0892bf68, 0x8399be23, 0xb4c52da9,
+    0x020ac57b, 0xee224741, 0xe826abae, 0x30894ffe, 0x86dc1e84, 0x7de5e58a, 0xf311d52b, 0x0fc5fe04,
+    0x47d9dbdb, 0x92b4c21c, 0xf2554d55, 0xf575af70, 0xae82eba1, 0x5738bb5e, 0x9102fc66, 0x03b73d1f,
+    0x113d82d8, 0xf9f124cd, 0x0abd84ca, 0x41248b7d, 0x50e0eb53, 0xe96fd013, 0xed86a31c, 0xc5f67374,
+    0xf391e608, 0x85110dfd, 0xcd28aff8, 0xeb7346d6, 0x65de2aa1, 0xff19a49a, 0x81e56cfd, 0x2783eefd,
+    0xa5c675b5, 0x8d5ef48a, 0x6fad50fd, 0x676869fd, 0x2a4162e4, 0x9ec11fb4, 0x85f98446, 0x07a9bd90,
+    0xd88dc7b5, 0xc9e35a1e, 0x92f51d62, 0x258fec8e, 0xe6d7bd4f, 0xd78509d7, 0x734976ce, 0x1f2dbd50,
+    0xacde54db, 0x2f26306b, 0x4e18f5a1, 0x0f177283, 0x2886bb82, 0x82628a0c, 0xcb135283, 0xe2e357b3,
+    0xfd5f8c09, 0x2f60a7cc, 0xd8a0e278, 0x48c77131, 0x4e0ee054, 0xb93c0fa4, 0xe45c9923, 0x5b4b8911,
+    0x5b82a922, 0x066c112f, 0xfe6af8a4, 0xe000f829, 0x005af283, 0x1e500236, 0xf5ce957e, 0x1c85b09b,
+    0x85c3916d, 0x60c3dc6e, 0xe6507027, 0x50b8cf8b, 0x5d2dac22, 0xd4f475e5, 0xce77605a, 0xda46dc80,
+    0x5466fb61, 0x2896e712, 0xaf85640c, 0xbcde20e6, 0xee3855ae, 0x0eaa89e0, 0xe6c3faf0, 0x118c6f5f,
+    0x870f5394, 0xcae046ea, 0xfd6012f4, 0x5c5f4105, 0xb51e0141, 0x67d82253, 0x8da60114, 0xf24abe1d,
+    0x779a9aa7, 0x90a8b57a, 0x4040d4b0, 0xd6c5f3f1, 0xeea8c0da, 0x998d00dc, 0x6beee4d8, 0x0de7c824,
+    0x190f434b, 0xc8bff27f, 0xec7d0500, 0x89653032, 0x7f3ceb90, 0x8066b15e, 0x56f7ea51, 0x6cad11ec,
+    0x76ca53c7, 0x680fcc39, 0x63382994, 0x3e758598, 0xa4e69132, 0x02fa89b8, 0x6fd8015b, 0x7e03dda1,
+    0x2f6c27bd, 0x794cf96b, 0x827cf556, 0xa1609466, 0xc6897c92, 0xad03864a, 0x7401f6f4, 0xe1fffa40,
+    0x14001e7d, 0xf60ff66f, 0xc8888be3, 0xf2ba917d, 0x99df0030, 0xe6719303, 0xbd02494e, 0xaf106182,
+    0xf073f11c, 0xd8fc4abc, 0x537ec987, 0x64945742, 0xcda8824f, 0x211aa599, 0xb7d00537, 0x4b47b472,
+    0x752066e0, 0xc1671d6b, 0x5512fe0c, 0xbfe9f095, 0xa5aec36f, 0xd6b6481b, 0x7b47c804, 0xb1fd69cd,
+    0xf9d88265, 0x5424a423, 0xff748f32, 0x6d2137a8, 0xd2101456, 0x8c49ea16, 0xcfde2291, 0x0d5d5bf0,
+    0x5b99790f, 0x7ead8699, 0xe80d7c83, 0xd6398e09, 0xeb97400f, 0x13fe7d82, 0x7eabb037, 0xeefd77ee,
+    0xb6a6eaa5, 0x25ef2c77, 0x0926cda4, 0x34a03439, 0x73190fe7, 0x2959e18f, 0x43f800a7, 0xecd7568f,
+    0xd8f43896, 0x8cd1033c, 0xe2b00b24, 0x09bd2eff, 0x97b61654, 0xf26e5621, 0x8d118ee8, 0x47582fb0,
+    0x15594530, 0x1380799a, 0xd5b25329, 0x2d930800, 0x0653c394, 0x3bf8b19a, 0x992bd6b7, 0x7b3eac51,
+    0xdc34187c, 0x5b1b0089, 0xea798fe3, 0x5e84a265, 0xea442c68, 0xf83a33d9, 0x21f841fd, 0xdf02008d,
+    0xcf651d18, 0x69b6b9a9, 0x4a32cecf, 0x8d5ddcc5, 0xfb658a6e, 0x90d86994, 0x894db40b, 0xa85d3ce3,
+    0x37b4acdd, 0x3e62e19b, 0xe6edc34f, 0x782a1083, 0x8aaa64b4, 0x9efce492, 0xec9fccc4, 0x847fc0f7,
+    0x8a8b9f4f, 0x7c1004c1, 0x4b309e39, 0x33630905, 0xb1306611, 0xafaeb9e7, 0x23a28916, 0x16c561e4,
+    0xa04f71db, 0xd82b63f8, 0x7eb5a71a, 0xfd0468e7, 0x19d66182, 0xd9a8e427, 0xd29d7da4, 0x7329c0bd,
+    0xec0c3274, 0xc36b8943, 0x03256532, 0xfa6341f0, 0x6c9163ba, 0xd0c2d118, 0xedd047a4, 0x588e0eb9,
+    0x5aa76ee1, 0xb88d12e3, 0xcaf8fa33, 0xe50a6efd, 0x8c144ac9, 0xdf276a76, 0x97ecfbf3, 0x2af9bc0d,
+    0xdb678328, 0xa822b719, 0xbca5c358, 0x6b249cdc, 0xe57adaf3, 0x10c22f0b, 0x19b5c09e, 0x0ab173c7,
+    0x2a56dda7, 0x5754a105, 0x55ab9462, 0xfe8e2873, 0x5fa185cb, 0x233e6ab3, 0x9c0a92ee, 0xfcc5f38f,
+    0xb07f789e, 0xd005d040, 0xcde0e7dd, 0xb8ced753, 0x5f5573eb, 0x22976289, 0x90c0897c, 0x67e2b020,
+    0x4dfb3cc0, 0x90ae65f0, 0x6a9a4bfe, 0xb33a4d1c, 0xb7312e6e, 0xdb699a2a, 0x4e21661e, 0x82cb48fc,
+    0xdccf047b, 0x4ad9989d, 0xa8fdc56f, 0x27a5899b, 0xe316fb86, 0x6f2d93e2, 0x6c916152, 0x076e3a3f,
+    0xc5774ee6, 0x91097ccd, 0x7f8813af, 0x4d87ef1c, 0xb24a8ca4, 0x02ae833c, 0xb3025889, 0x8da06ec1,
+    0x2d418f0e, 0x96412936, 0xb7abfe98, 0x002a2262, 0x8debb201, 0xa6ab79f9, 0x0446b568, 0x98ef9866,
+    0xcd5562dc, 0xc37dd45e, 0xe3029e60, 0xe0239b1f, 0x579d76e4, 0x3cd1a064, 0x47f738a0, 0x3e4aca3c,
+    0x9f111ac9, 0x830964dd, 0x6fb6fccb, 0xd496ce0b, 0xe05f4872, 0x2f740fff, 0x7edde3b6, 0x9edb1fd9,
+    0x6ac30303, 0x198c41b0, 0x2f9e937a, 0x1d80b067, 0x446beda9, 0xf85c66c8, 0x46cc2e17, 0xbbe9a259,
+    0x0a7d892a, 0x203a4595, 0x1bd9682c, 0x37a93df9, 0xb9597043, 0x08036c2e, 0x9e1b1d30, 0x9f03e1bd,
+    0x69533dcd, 0x31d07b2a, 0x85ee6dc1, 0xaf2a6708, 0xd03d811c, 0xefcf89c1, 0x6f252039, 0xef32d68c,
+    0xc5003b8d, 0xe9b2cdf4, 0x30be42b9, 0xfa5be675, 0x4243839b, 0xa81beb9e, 0xc772d014, 0x78588660,
+    0x38c7382e, 0xa5cc8cc9, 0x5e84b9cd, 0x6cb8181f, 0x9235d186, 0xb85db0d3, 0xdc8398b7, 0x8a1861ef,
+    0x930d9ebb, 0xd66e6358, 0x5c5be114, 0xf84593e9, 0x23b56bb9, 0x24cf86cd, 0xe1c54290, 0x38d95fa5,
+    0x3a4e1f39, 0xd24f4d36, 0x6c19cf81, 0xfe198a04, 0xd486cb13, 0x4ee56a27, 0x20467466, 0xf836d72b,
+    0xddd6106b, 0x831be7f2, 0x316ac7bf, 0x69b91a41, 0xf66d5df9, 0x2fadca68, 0xbb0e1462, 0x5c93b824,
+    0xb87cc510, 0x83f63cbe, 0xfe247b07, 0x0ee973c5, 0x53f68b8d, 0x3dca377a, 0xeb662c9c, 0xf9073c10,
+    0xb9ccb719, 0x7f97a947, 0x67fc81ef, 0x7ca87fdd, 0x80420c6c, 0xcc29235a, 0xf6aceb14, 0xebd912e0,
+    0xc8665f09, 0x2bb49f26, 0xe7b4c045, 0x90917481, 0x09179232, 0x4d7dc736, 0x518acfa4, 0xfb873c0a,
+    0x725bf85e, 0x6242c6fd, 0xad8602b8, 0xb212604f, 0x9e874d80, 0x71290540, 0xe685aac5, 0x599a9842,
+    0x8d80d6bb, 0x62f4f9f8, 0xea517e30, 0x3486bc30, 0xc3a13db2, 0x011f99f2, 0x47ee3367, 0xc08b5892,
+    0xc26b636c, 0x875f30c6, 0xcf4dfb17, 0x3bf90d96, 0x5cf54be0, 0xcdf2a545, 0xb7e80682, 0x7e5161af,
+    0x9b74031a, 0xdf4b3472, 0xb4202ab3, 0xd4d49021, 0xdc0e733b, 0xb1908c58, 0x453956ed, 0xb0a99e5b,
+    0x0e80bc99, 0x830909b0, 0xdd0715d9, 0xe4d76377, 0x3363194d, 0x0fcee26b, 0xe2a39564, 0xa04c0037,
+    0xb9c3adde, 0x649cacf9, 0x2704b291, 0xdac16e1a, 0xa81424a7, 0x9a73a8ac, 0x32fe7cf9, 0x36c729bb,
+    0x33a09399, 0x41f3260b, 0xc38e421f, 0x8ed794b9, 0xcc17e1a1, 0x2cd42c1a, 0x211df9a0, 0xc0bca860,
+    0x832f18b6, 0xeaec6950, 0x6192de3b, 0x69da6356, 0xe4918ac4, 0x846b057c, 0x2e248206, 0x7fb89bf4,
+    0x63142bb8, 0x6bd8bb78, 0xc39f85c9, 0x0681fac6, 0x24fe15c6, 0x81359976, 0x36ef1747, 0x4e7366a8,
+    0x8e2f3c15, 0x64cf9018, 0x7b4472e4, 0xd6664c83, 0xd59ac015, 0xd34e7294, 0x38346813, 0x15debe86,
+    0x5e0a1fa4, 0xdf70bed0, 0xf7906fbf, 0xaaf6384d, 0x001463d4, 0xa3c646e3, 0xff77f5cb, 0x6f275ba6,
+    0xd2703566, 0x498091a9, 0xb39268a4, 0x2bf70f7b, 0x2a692ea3, 0x86a382d1, 0x8f160fed, 0x650468b6,
+    0xa9e31b49, 0x3660e988, 0x1f86abb0, 0x3825d46f, 0x264f3da2, 0xc19c5fe5, 0xfa74fff6, 0x301ddb6f,
+    0x36b7cd33, 0xb4663037, 0x6e494cbb, 0x3a3a796c, 0x9f704747, 0xfa1b3b39, 0xb99d84e3, 0x633d119a,
+    0x3700c483, 0x5126ced4, 0x44fde646, 0x5f2a5b97, 0x95d14679, 0x01b0369e, 0x80fe7a54, 0x08a1aa08,
+    0x65fded63, 0x0b9180fa, 0x3675a44e, 0x4c1894de, 0xd00d1e73, 0x37b6139c, 0xcddb3a58, 0x042a835c,
+    0x77e45f4b, 0x48c798aa, 0xbf161868, 0xab6f692d, 0x0c4a539d, 0xf3abcd01, 0x31adcc52, 0x21fffb30,
+    0x83143cc4, 0xf6fc90e1, 0xc9597ebb, 0x5a7f105c, 0xc26d72d6, 0x6a390286, 0x8a93d30c, 0xc2f6661d,
+    0x28a4bc1c, 0x1505692f, 0xc1a65d8b, 0xe7560af4, 0x0ffe375b, 0xe4987aca, 0x554cdc10, 0xe5b87b93,
+    0x10ff1721, 0x3c9d21ba, 0x4a2f90fd, 0x81ba66ae, 0xe02f4980, 0x942f0ad9, 0xfa5af5d5, 0xceea2fcd,
+    0x9c6dca22, 0x8be80b67, 0xc404146a, 0x0dff5185, 0xbf295ddd, 0x91910fe7, 0x3b432cf6, 0xc07bd4a8,
+    0x5be6093e, 0xfb85a666, 0x0cd1d8e9, 0x6cf8e7e3, 0x90ab316a, 0xf853200c, 0x205a10d2, 0xbcee73fa,
+    0xcc1d0235, 0xf05b2a1e, 0xac392cf6, 0x67eb3d0e, 0x968bb25c, 0xbbc1f056, 0xc55b4c36, 0x4a17624f,
+    0xc5730466, 0x2cb789ac, 0x76ec8a26, 0x486a00f7, 0x13718981, 0x537f9ff9, 0x69932198, 0x9049fe69,
+    0x0c06722c, 0x38b31c47, 0x93409829, 0x82ba1c67, 0xac8c0525, 0x3c2930d4, 0x223931dc, 0xc59b801d,
+    0x11c3298f, 0x2964cd82, 0x94719772, 0xf2a2d59b, 0x14d709e3, 0x8a0bc3ee, 0x07add7ee, 0x322802c3,
+    0xd5a3641b, 0x21bbc32e, 0xc5c8c2ce, 0x43c4bf39, 0x257ba0ac, 0x86ac0208, 0xb5a8fc2b, 0x0c8d95ff,
+    0x685202ad, 0xcc9d12e4, 0xe6e72fe0, 0x38c5c7f5, 0x54bca066, 0x726ab72f, 0xf4e54800, 0x8e2f7140,
+    0x7c7aa059, 0x2f8c3905, 0x5a0f889d, 0x2d509d56, 0x4f643a21, 0xe49de7cf, 0x5b586089, 0x4dd56f17,
+    0x7c9e3a33, 0xd426f756, 0x0a6bd61c, 0x2def0284, 0x0fd1d9d7, 0x67c4ca10, 0x4f908917, 0xc6fe0dfc,
+    0x0d787d10, 0x98e035b6, 0x849afa5a, 0x6f3f3092, 0xacf5be34, 0x80e0bb97, 0xc01ac186, 0x2ae449a2,
+    0x61aeb9b7, 0x635c2300, 0x0da40463, 0x9f5318c6, 0x6dab23f9, 0x07832346, 0x3c2f09d3, 0x4c0f6341,
+    0xd70684d6, 0xdadb0153, 0xac100cf5, 0xbcd4a77a, 0xd7ebea2b, 0x2817d20d, 0x8a6f1753, 0x73035026,
+    0x2667a259, 0x7a2539f1, 0x0064186c, 0x84449bf4, 0xbcaa6615, 0xbaf4f43e, 0x5eee529a, 0x08397ee4,
+    0x128e729f, 0xb59e31a2, 0x6aa3d162, 0x56b51ee8, 0x1bb56244, 0x56fc584c, 0xd9c66287, 0xfdd03744,
+    0x6cd6ff2d, 0x9adf7199, 0x376a82f8, 0xf44cafef, 0x11721bbf, 0x39b9663d, 0x7beee9c5, 0xec938526,
+    0x68dc8758, 0x09d77024, 0xeea35e88, 0x709e68ce, 0xfd6fa520, 0xbb336d05, 0xff4d947f, 0xe7ba0f47,
+    0xd6dc3c93, 0xf31c09d8, 0xb493a893, 0x7817c267, 0x706def28, 0x3cf0ff86, 0x135d4325, 0x088f165b,
+    0xa404d424, 0x74bf531d, 0xd779e44d, 0x3ecaa963, 0x100302f4, 0x43edd87f, 0xa90bedcf, 0xf1900cdf,
+    0x00000000,
+    0x3287ef4d, 0x73c2ce83, 0xdb564041, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24,
+    0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000159143435651\
+                         13172548972231940698266883214596825515126958094847260581103904401068017057792 */
+  { 0x00000000,
+    0x27bd3c8d, 0x7a24f60f, 0xad91e257, 0x1152aafb, 0x724ff991, 0xd9111597, 0x5f961b63, 0xf681ac6b,
+    0x88fbe60b, 0x8433ead7, 0x85abd81a, 0x7f034d1b, 0x4a735055, 0x79bcf5f8, 0xaa1d9692, 0xd3209f76,
+    0x9bf4e5e1, 0x2fefc235, 0x2d684c2e, 0xb10b5ad2, 0x1e1dae3a, 0x66d41702, 0x11aaa456, 0xd000d0db,
+    0x0a0a7b67, 0xd940b3f9, 0xe5dd619f, 0x9442895c, 0x8539bea8, 0x2b477011, 0x6d718f0b, 0x885416da,
+    0x8ff39497, 0x1191a352, 0xcc497627, 0x88aeeef9, 0x730a2447, 0x8c20a7f8, 0x3aa6b88c, 0xce4df9cb,
+    0xb0f3885f, 0x9721e72c, 0x8f944694, 0xe89cb6f8, 0xad53e9ba, 0x8cd89222, 0x0829cb3f, 0x269a8a6c,
+    0x1c24b173, 0x81f1bbaa, 0xecdef4cd, 0x6c68ab06, 0x0791d15c, 0x5dee6d4c, 0xe3b3e808, 0x33696d46,
+    0xb671a076, 0xe4c164c4, 0x0da9a852, 0xe6af6e77, 0xee609dce, 0x352a4b87, 0x5e4c068d, 0x89968d13,
+    0x0f418ad4, 0x6d5517b5, 0x7330d4a3, 0x0ecc3eb3, 0x0e62a75c, 0x2248f6cc, 0x750fc298, 0x5f7182fc,
+    0xde2194d5, 0x8af75642, 0x1d61a31e, 0x0389aedc, 0x38e2e5ce, 0x691eebed, 0xf18e892d, 0x7c646bfb,
+    0x48f2b91c, 0x51a0d932, 0xaadcd082, 0x4368da7e, 0xb0cf6870, 0xa86b74a3, 0xf4332bd0, 0x99ab4aa7,
+    0x16f4cf95, 0x6ce448a2, 0xa20bea9a, 0x58925f6e, 0x509409a6, 0xc629d599, 0x936b7fbb, 0x7e4f2330,
+    0xefdb218c, 0xf525231f, 0xbb0ccf51, 0xb7092c0b, 0x64b20307, 0xf8675df7, 0x5a6601ae, 0xce9bbdd0,
+    0xb5c7ab46, 0x86f379fb, 0x7adba24b, 0xa00f5c61, 0x635ea3ab, 0x9eb5fc38, 0x56807cc7, 0x5fc49242,
+    0xb37fe345, 0x25fd3dff, 0x1df80927, 0xb9e43cb4, 0xd168db92, 0xb3fc2250, 0xb3147e02, 0x6d6cd33b,
+    0x503eb64f, 0x87a9550b, 0x6f2e8d2d, 0xc9e812b4, 0xfd516669, 0xf84c6e1a, 0xd9da55d8, 0xe2c53157,
+    0x14d34688, 0xe3b600b8, 0x983cd954, 0x56965bca, 0xef2c81e1, 0x84b4335b, 0xa271b561, 0xc2214048,
+    0x8f205bb4, 0x0aed21fc, 0x51d19006, 0xd54b4641, 0xdd7c221a, 0x032e177f, 0x7f4a2136, 0x2b7014f2,
+    0xbaecffc0, 0x69a49682, 0x704f4a05, 0x6732133b, 0xaba49853, 0x853e93fb, 0xd65d32d5, 0x0ecf5697,
+    0xaa2a619c, 0xc3d8ca83, 0x75092b72, 0xab09dccd, 0x89b4ed1e, 0xfa1a2c88, 0x082d185d, 0x5426c19e,
+    0x908ae61b, 0xf469e393, 0xbb14e6de, 0x95fb94a4, 0x22acf2e3, 0x9b6913ff, 0xff5802b3, 0x4c642989,
+    0x3f4d0363, 0x5afe0c13, 0x9da5e638, 0xc0036a39, 0x2a794bc8, 0x70b8b1cd, 0xfe8fdbe7, 0x8961efa4,
+    0x1fe502a2, 0x133f4309, 0x71fb4b26, 0x8966aa6b, 0xfe0e0e64, 0x9d3507ff, 0xeebf4f65, 0x2c9b1656,
+    0x286a5c78, 0x0cf7ead4, 0x2e925792, 0x7702dc27, 0xdcffb8d6, 0xe1100902, 0x1f7ada56, 0x314672dc,
+    0x0f83d30d, 0x5b3a3051, 0x54d3d3e1, 0xae3021f2, 0x34a56710, 0xca8fa373, 0x114f0559, 0x12f6a826,
+    0x55fc2b9f, 0x4af43d29, 0xb7dfb4eb, 0xa5f4033a, 0xc044a4fa, 0xdbbdf9b4, 0xcaf479a0, 0xbe95a504,
+    0x816ffc12, 0x053b42b4, 0x3161ea73, 0x7252902b, 0x84cd49ae, 0x5ab40be6, 0x47a85e37, 0xf69a6188,
+    0x40022037, 0x233118d7, 0x44316f2e, 0x780366dd, 0x8219b853, 0x9291f991, 0xa55db994, 0xd4713b9b,
+    0x77109b20, 0x05beacd1, 0x26418460, 0xbd37abd6, 0x87ed5790, 0xbceab952, 0xb632e6bd, 0x6e3fc9ce,
+    0x4dd7cb41, 0xeb8e70a2, 0x8eade354, 0xe6d124ba, 0x4c032bee, 0x0294a79e, 0xe2e4cd85, 0x128507e4,
+    0xfd00498b, 0xfa20f472, 0x5e9aa7ba, 0xea15ad53, 0xf8cbff71, 0x2dfda506, 0x9c43ec2b, 0x3f803510,
+    0x0ab5cd53, 0xf67d337b, 0xa48293f2, 0x0f295b61, 0x6df52211, 0x9caf8416, 0x23757bf7, 0xc07e1a9d,
+    0x5294854a, 0xfe8ca6f9, 0x5c864e57, 0x3faebd69, 0x7c275121, 0xde284331, 0x12f7fa3a, 0x3ccaae7a,
+    0xc95b082f, 0x26224060, 0xcad8a5f9, 0x1f14b362, 0x839ba0f5, 0x72f5d20d, 0x800818e4, 0xae74d123,
+    0xdb968a35, 0x514b5f8e, 0x32540e56, 0x8f3d4d81, 0x03734f9b, 0xfd399ecd, 0x11e51527, 0x33890683,
+    0xa90bdfd3, 0x01c28655, 0x9640bd4b, 0x71caeb2b, 0x85bd0905, 0x662bf127, 0x3bcbc68c, 0x39afc377,
+    0x7d2b9927, 0x809d7df6, 0x410af4a6, 0xfb23c77e, 0x34dea2e8, 0xc1e414d8, 0x9c94be4b, 0x9d8f8876,
+    0x5521c192, 0xc6051e35, 0x5d8eca8c, 0x817a0168, 0xf30bd1d5, 0x234fad3d, 0x4caf66e8, 0x15d3c8c0,
+    0x27dda5c8, 0xb2a50d1e, 0xd2a05861, 0x18a725e5, 0xd1cfde13, 0xa21f4f14, 0x66b41fbc, 0x239a4fcc,
+    0x8fe26596, 0xb1060bec, 0xb62e153b, 0xe8d1e2c4, 0x83844d23, 0xcbf5119e, 0x5623e47a, 0xaa96b4ba,
+    0x8e7686d0, 0x74e95234, 0xea9625dc, 0xaade2cbc, 0x16828154, 0x0e1f006d, 0xa1a3c7bf, 0x3e20a1a6,
+    0x10430f31, 0xa79ce7d9, 0x9497c5fc, 0x7d154873, 0x23de6516, 0xc89707ff, 0xa8a0a608, 0x325a5024,
+    0xf8eb48bd, 0x23cde69c, 0x7152ea30, 0x9bb6e39d, 0x58397db2, 0x6f69f923, 0x10ab17ec, 0x1f3cbaa4,
+    0x4c73ef44, 0x419e1842, 0x9ed48814, 0xcac59350, 0x4e450698, 0x808e1ea7, 0xf9db1582, 0x9c6606de,
+    0x01a3ff7e, 0x271ca588, 0xc51073bd, 0x94a4d00e, 0x45a0e2ee, 0x12db63ad, 0x7b44b769, 0xac3ef5ac,
+    0x6d065b5f, 0x0fd18eea, 0xbe5c8e2f, 0x6174dcb8, 0x93c49421, 0xfbd5c200, 0x501afc73, 0x6f2836aa,
+    0x308ac44f, 0xae1b0e93, 0xf45c4f08, 0xe51e7122, 0xb433d0e4, 0x51641248, 0x2c71e828, 0x2a518651,
+    0xd600190f, 0xeafd9b4c, 0xbf23af01, 0x0b4fd1a6, 0x22d75dbd, 0x4cbcd6b9, 0x3ceb6279, 0x4a7d5cc9,
+    0xf3bd5210, 0xe9f811a7, 0xe1839d3a, 0xeb0ee6a3, 0x84dbcad2, 0x31530296, 0xae675bc8, 0x6c173929,
+    0xa7fe6d91, 0xd42ae262, 0xb550b639, 0x048e99ee, 0xc6c88aa2, 0x0688fba4, 0xe6125373, 0x3b2dffe0,
+    0x04f5d20b, 0xfa49690a, 0x4551d44c, 0xd7040814, 0x0ae7c95b, 0x0e1f0d24, 0x5fc10d71, 0xee7b1f99,
+    0xee665b16, 0x20681daa, 0x7f695220, 0x1edb76ae, 0x6f6cff60, 0x00ff4d8d, 0x52284b07, 0x7e04090c,
+    0x187b9e3c, 0xe45e85fd, 0xa33a894d, 0xc47287c8, 0xbf1884a1, 0xae9c4d9e, 0x57c0babd, 0x278ae8a9,
+    0x220cec68, 0x5d10b879, 0x86cbb293, 0x7f19f19f, 0xf998b8a6, 0x5a40964f, 0x9eec5573, 0x7af2b015,
+    0x7037dcac, 0x6b970ca1, 0x132f958b, 0x7c29b1b0, 0xbbed2e00, 0xff8ed18c, 0x0a1164fd, 0x1c9c9bdf,
+    0x2745004b, 0x7a1948b3, 0xeababb5c, 0x9cdd3713, 0xd4d12f3e, 0x97993701, 0xe1652460, 0xc0c48867,
+    0x7d01b2cf, 0x788a3e64, 0xf5793584, 0x2d74372e, 0x41a6c0c6, 0x14527d6e, 0x1d928a51, 0x76198894,
+    0x155fb9b6, 0x8220bfa5, 0x50acc433, 0x440a24a2, 0x780af236, 0x44b9df2d, 0x067ae6ba, 0xe6e0810c,
+    0x6f2358ae, 0x5266d51e, 0x3bb4d6f4, 0x42abe64d, 0x0c8deaeb, 0x3bb39f25, 0x0c355db7, 0x85e0a94c,
+    0x153d72af, 0xa8eea344, 0xf2a8f5db, 0x38d1cdfc, 0x02eed670, 0xdf86cebb, 0xa454a7c7, 0xbc3a5caf,
+    0xe07ca4f4, 0x335290d9, 0xa63b5a7f, 0x67da221b, 0xbe24b067, 0x59b639e6, 0x730c4a3e, 0x7bfbbb0b,
+    0xfbc3989d, 0x1d9dc0b8, 0x76b6f83f, 0xcf26c9cf, 0xd14fc425, 0x49d5405e, 0x4a90e95b, 0x9a716d9d,
+    0x67c7b7bf, 0xe2708a2d, 0xc94573d9, 0x5eeaf29d, 0x60ce5657, 0xeccbbe90, 0xc96297a3, 0x156ba2eb,
+    0x78a63b71, 0x42cf61bc, 0x7d7e8715, 0x54411c87, 0xd5bcce66, 0x0ab779a3, 0xae861fbc, 0xb5edd83e,
+    0x5ab3e3ff, 0x2571630e, 0x86c60037, 0xa72edfae, 0x24bc15fc, 0x2800f1dc, 0x8e17bc7d, 0xfd939c74,
+    0xb2caf3c3, 0xc58188ab, 0xaee01449, 0xfb758d96, 0xaad3eb17, 0x1c00ee6d, 0x730d1e90, 0x7ed2f1fe,
+    0x8ee6fb8b, 0xe552ccd3, 0x49cf6af4, 0xc5b369f8, 0x656ba4a7, 0xaaf6abf0, 0xa5a03d8f, 0x82217a41,
+    0x52f0a6f3, 0xe7834e0a, 0x28f5e995, 0x1ddc83c0, 0xa1059e46, 0x2f073ea6, 0x500ff5d9, 0x9a3a0bbf,
+    0xd91d034e, 0xeb7a27fe, 0xa65473ea, 0x6a952b92, 0x23303298, 0x7f0b9ed7, 0x855c7b51, 0xb868eb41,
+    0x91eb41f1, 0x682461a9, 0xd5a7572d, 0xde027d0f, 0xc02e4504, 0xc6aec4ce, 0x88680036, 0x3f493d04,
+    0xd5da6f99, 0x63178ffa, 0x0524c6a4, 0xcb6ece2f, 0x27c8fc6f, 0x065176ff, 0xfb528b72, 0x2d1bf1e4,
+    0x9e42b110, 0x2501b1c6, 0x244a081f, 0x59f02627, 0xc59fd698, 0x1d59e6e1, 0x52421bf9, 0x1c8d2939,
+    0xb5cc0c58, 0xdfffc9e5, 0xdd287871, 0x9b15a7a2, 0xe40eebbc, 0x614f341e, 0x2953bfa2, 0x8dd75e20,
+    0x271397fd, 0x802d1cdf, 0x10748ec5, 0x4290eec8, 0x53bfe8f9, 0xc7117306, 0x225fae46, 0x1ea67e6a,
+    0x2daeda04, 0xdfd1ae90, 0x3a2bf0a8, 0x2a0a6b74, 0xa3e81507, 0x508f3955, 0xc3e2db59, 0x77b25477,
+    0x7e12385d, 0xdf3fda41, 0xb447f1dc, 0x49f84e74, 0xd34376d6, 0xbda53e63, 0x471508c5, 0x273e6ff6,
+    0x626a08bd, 0xa71feef8, 0x5d6ef1e5, 0x131f3984, 0x718072a5, 0x4fe9fa74, 0x5c342392, 0xea474b0e,
+    0x31582fae, 0x666a75c5, 0xe5901fa5, 0x49e4f3a3, 0xf64dc7e3, 0xf2fe374f, 0x9c525a9e, 0x38e700d0,
+    0xbea919c1, 0x573acecc, 0xb831cece, 0x159ba766, 0x0ae0e642, 0x76d917f1, 0x6c55fbd5, 0x5d6806d4,
+    0x84756f59, 0xe549eaad, 0xa04ab1d2, 0xe6be20ee, 0x604fe4ff, 0xe2ae1cba, 0xe34994bc, 0x5256e6b1,
+    0xc8aaa0b7, 0xe3ba52fb, 0x129847fa, 0xbecae86a, 0x647408d7, 0x12465525, 0x38e6bd5c, 0x119e5f59,
+    0xb360ebc9, 0xdb914627, 0x7df3ddd4, 0x7c734d70, 0xb2e3cf41, 0x6ade8325, 0x3c987977, 0xab5fe7bf,
+    0x59e12863, 0x791d1838, 0xa414686c, 0xf966b8fe, 0x0cec91c1, 0xe160c88b, 0x8a9f68ce, 0x8ee6eba8,
+    0x2f65c66d, 0xb84087b2, 0x2660c09d, 0x12aa2b5f, 0x5e9ae55c, 0x4d649f40, 0x3a67fede, 0xc09069a0,
+    0x5e1add50, 0x51c41b5a, 0x56b84c61, 0xb97a0602, 0x9c3182ea, 0x4e9b9a36, 0x3328e3b9, 0xf1fc3b0a,
+    0x95e28758, 0xd6fbf721, 0x81092c36, 0x444c81d0, 0xb326e9fa, 0xb14d731f, 0xd2955d1f, 0x088f8f7e,
+    0x647cc543, 0x887630d3, 0x0de4024a, 0xb92e46e8, 0x19935c10, 0x30f6eb6c, 0xef1a91d2, 0xbf1adba7,
+    0xb763bdf1, 0x31038469, 0xb6401da5, 0x0988245e, 0x3653ed05, 0x062d2dad, 0xcd8e5bd2, 0xdcb4f72c,
+    0xd58d719b, 0x437a31c2, 0x68b7578d, 0x2a8f9548, 0x3e95c5d0, 0xe7985b36, 0x912efb8b, 0xc932149f,
+    0x2bb6740c, 0x8412418c, 0x9dd77a31, 0x510bfc19, 0x65b24aab, 0x062708ba, 0x52f703b7, 0xa129df78,
+    0xcaef9dbf, 0x5a30c7ac, 0x8b6c3e3c, 0x465eea84, 0xba02fc4d, 0x677889af, 0x51ac94e8, 0x9f39e360,
+    0xc1d7ab9d, 0x6c2ac759, 0xed64f90d, 0x3ec8343c, 0xef01de4e, 0x29e12dd6, 0x8b7e7ca2, 0xd82936d4,
+    0x8d556087, 0xe1e6f3fa, 0x08d632df, 0xcbf1c6ac, 0x1b4da29d, 0x269bb5ca, 0x89c7aa66, 0xaaf0301e,
+    0xb72140e6, 0xca5c00b3, 0x31ff9e41, 0x7314a2de, 0xe810286e, 0xe4900faa, 0x91e991c0, 0x7482a088,
+    0x9d07a1fe, 0xad5e5bec, 0xb194e6c5, 0x16b0de12, 0x9e7dd3bd, 0x056fe308, 0x719e6ea7, 0xaef023c9,
+    0xc02f44a3, 0x18848ad3, 0x81d2a714, 0xeda52d25, 0x300ef578, 0x8e053b92, 0xc2c0ac09, 0xb6990f0d,
+    0x6f10c4a5, 0xd3cfb44f, 0x78ddb584, 0x79d607df, 0x2f109ab6, 0x2bdb6b93, 0x017e2f54, 0xe106dfb5,
+    0x4de75636, 0xff99f006, 0xcf90155e, 0x2530141b, 0x3ceb0182, 0x12721c78, 0x30bff9ad, 0x0a780c9a,
+    0xdb3372a0, 0x25d12b4a, 0x25d11721, 0x0d8f8d0e, 0x83b16bcc, 0xc97e4c1b, 0xbf7b3d00, 0x4be5ef5d,
+    0x8453fc24, 0x53d1d958, 0xeda555a3, 0xee52ce60, 0x8b23fb82, 0x4291d014, 0x170e2164, 0xabaf04f4,
+    0x2ad654d2, 0xe2aebfae, 0x1e641abe, 0x3d7a95c0, 0xa1d6887e, 0x10328125, 0x272fa5be, 0x6f659556,
+    0x4a45465a, 0x67a21538, 0x29a46afe, 0x69d4b989, 0xe3ba9f42, 0x02c9fdd3, 0x71ad407e, 0x7a64483e,
+    0x3b7f4e62, 0x2523f778, 0x16fb5fdb, 0x053da4da, 0xbebe92c9, 0xa14a1d2b, 0xe22ea4a2, 0x7eba075b,
+    0x468809a2, 0x7af56f9f, 0xed0cfa24, 0x38c74c11, 0xa6e45624, 0x2405184e, 0x9b5479c6, 0x17e5bc9f,
+    0xe4606e0c, 0x794d5bb9, 0x77fd0235, 0x07bcaa32, 0x55fb1aee, 0xdcce3637, 0x28a5f2ad, 0x25b8388f,
+    0xef38bfa6, 0xdab10b6d, 0xeb303b04, 0x7240a607, 0x97910ad5, 0x7528a338, 0x73bfd4eb, 0x27c88cd7,
+    0xf48d101e, 0x39b1d274, 0x5cc4e54a, 0x5534402e, 0xd8e05a85, 0x92ec76fe, 0x02558edc, 0xeb00cc86,
+    0x3402bfce, 0x36675a8d, 0xa425345f, 0xb3a71c36, 0x788ae93b, 0x70cf2c67, 0x07e90c72, 0x8481408c,
+    0x81de42d1, 0x2cec896c, 0x16a9a4c1, 0x0794548f, 0x0d36cb35, 0x196ded7f, 0x2eb73eea, 0x181fbdd7,
+    0x0e9e47c0, 0x46288d28, 0x4ae77e0e, 0x146025da, 0x61d9d987, 0xd675f695, 0x7dbc6312, 0xc7be9926,
+    0x0891f9ee, 0xba817ee5, 0x14ed2635, 0x992832e0, 0xd26f9053, 0xd6479c40, 0xfc6f99ab, 0x672d2df1,
+    0x528b05c7, 0x2a8b51c5, 0x72da5df3, 0x33568a9e, 0x3aff53b1, 0x9e4f321f, 0x33ee9178, 0x9f1ed5d1,
+    0xfa8516f3, 0xe17e9974, 0xb98c0b7a, 0xf9f24140, 0xf90654c5, 0x30cca360, 0x59ca7ed9, 0x38f446a4,
+    0x82857dfa, 0x5bb93892, 0x25ebf09b, 0xb968f5f2, 0xaabb5220, 0xf5722180, 0x4d171507, 0x9a9f4480,
+    0xc37e64b1, 0x0746aef1, 0x97370953, 0xc6c1b444, 0xb2a72401, 0x84576bf6, 0xbc5a6b35, 0xe21a5c81,
+    0xf998d0ed, 0x9ee2a23c, 0x1e8253e4, 0x255baa34, 0x6f608624, 0xc91668f9, 0xeda948fe, 0x3dfbb947,
+    0xe37b61a2, 0x9db5de34, 0x88f40561, 0x1d4fd6fc, 0x3002b914, 0x378c2ae6, 0x7d7c2c60, 0xd4d0a65b,
+    0x5b5f19ee, 0xbccfb04e, 0x093b21d8, 0x0164ad5f, 0xd1b52dcf, 0x1b74c30f, 0x05a58001, 0xd6c893bf,
+    0xe0bc0eae, 0x088a6723, 0x6fbe0564, 0xfc5dcc57, 0xbe2c10fb, 0x38b3b65c, 0x93cd3516, 0x206460ad,
+    0x85c42345, 0xe5dd0db9, 0xfe5f999f, 0x89366d07, 0xe7863037, 0x2470408b, 0xe0166f4e, 0xfdabc5ff,
+    0x8c8ff0d4, 0x41c0cb1d, 0xd07c3e2d, 0xe4bfd528, 0x6b2150eb, 0x7e8ba318, 0xd9dec617, 0x8ad959d4,
+    0xfa856071, 0x53529783, 0x4661cd98, 0x29aa7039, 0xec3a1cae, 0x0583fbb5, 0x63b49fb2, 0xbd3fe0c4,
+    0x32d86a0a, 0xea4dcb32, 0x14696c2a, 0x0d70a109, 0xad2c2ef7, 0xaa99b560, 0xd72127c5, 0xa186f0ec,
+    0x426911df, 0x6da41733, 0xbd3c0a8d, 0x60ed91e6, 0xa7a1786d, 0xa5be3f65, 0xa2f65997, 0x79190e90,
+    0x45b3237c, 0x2e5fed4e, 0x8168ae08, 0xd3779848, 0xf5d71014, 0x59c8fb8a, 0x08c847f7, 0xf6fbedc0,
+    0x77425e20, 0x49a802e0, 0x1a4eaa22, 0x8e7fd365, 0x9349d753, 0xc69456a2, 0x88c40267, 0xafd745c9,
+    0x00000000,
+    0x9943f7a6, 0xb9e16741, 0x6dab2020, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92,
+    0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000079571717825\
+                         56586274486115970349133441607298412757563479047423630290551952200534008528896 */
+  { 0x00000000,
+    0xbdf69764, 0x671723aa, 0xdc1f5bf6, 0x889c2b09, 0xfc527e0e, 0x7d044039, 0xccae8e02, 0x80e151de,
+    0x0a16a94d, 0x9c4a2633, 0x56ec2c7f, 0x41156d60, 0x75a6f6e9, 0x8a0b3004, 0xf6d9b181, 0x10e3e84f,
+    0xd9654492, 0xcf69670c, 0x5064918d, 0xd49ee3a8, 0xfb9cccb0, 0x09b6cfb7, 0x91f3957f, 0xac821273,
+    0x781715f6, 0x21ca316d, 0x0325f9ee, 0x8656969a, 0x84c88a65, 0xea425a8e, 0x50c7ccd3, 0x7c2dcf7c,
+    0x0577368b, 0xd1cb8686, 0x3d872437, 0x10260bee, 0x8534573c, 0x4305bbf4, 0xb73bf1c9, 0x31e80105,
+    0x620cb484, 0xe3eb8d76, 0x220f543d, 0x09ac8bd2, 0xa9131d33, 0xa79e6019, 0x16b103f7, 0xfa4f8ed9,
+    0xa50e9267, 0x0afc924f, 0x580bf030, 0xec9b7d14, 0x06897cec, 0x7f3cbb2c, 0x50687800, 0x44e767c2,
+    0x6ee15097, 0xbe27252c, 0xebbd044e, 0x8a439da1, 0x53e8d4c3, 0x28dc0b1e, 0x608b2901, 0x16362345,
+    0x17ced851, 0x5f454523, 0xb9d0a558, 0xab02c37a, 0x8490b387, 0x65ab8121, 0x4b15337a, 0x508facc7,
+    0x81f8863d, 0x7919cb84, 0x252f9307, 0x4a8ac10d, 0x29213f8f, 0x7494ef44, 0xa3320f31, 0x8b7b52c3,
+    0x8ed94fc8, 0x45bf5c56, 0x93edef1f, 0x0748bc79, 0x3c33adc4, 0xf475c1f6, 0xfcaf77c2, 0xc2da43a1,
+    0xd4b907af, 0x38af3fcd, 0x6d006c9b, 0xcbbf4628, 0xce9aec79, 0xa97a03e3, 0xf3e0c576, 0x1a7368b6,
+    0x2eb80a5f, 0x946f797b, 0x70dbd6db, 0xf2883b34, 0x7aa1c687, 0xf6c195f2, 0x26184af0, 0x56c80fcb,
+    0x242a4bd6, 0x1e2ecdbd, 0xe561e822, 0x34149394, 0x5a8d119e, 0xbb958c8c, 0x46d00206, 0xb574cf2f,
+    0x89dd482c, 0x9a782a58, 0xc3292078, 0x5f9764cd, 0xf5c8750e, 0x0641e91c, 0x6a6b5cba, 0x72fae5e4,
+    0x36d3b4a3, 0xaf667402, 0xeb44d8a2, 0x68d12faf, 0x2338dab6, 0xac451bd6, 0xce533702, 0x98a51c93,
+    0x80cfd425, 0x0bca4247, 0x50f2f666, 0x61f33e4e, 0xe5031113, 0xc6b22fe8, 0x1c63e8ec, 0x1a1945ab,
+    0x2ee6a8a2, 0xda2b2a9f, 0x1ea42054, 0x26e40222, 0xd0a10f6f, 0x04ed7a83, 0x185817f9, 0x3c9f5be6,
+    0x71045594, 0x53f46a44, 0x35c0dc7a, 0xce916aa0, 0x9e0ee5ed, 0xa4f6d92a, 0xff1adc78, 0x96e07e10,
+    0x370cfd0e, 0x34ecfbe7, 0xb34b7777, 0xb35430d3, 0x74f8d8f5, 0xab6fe643, 0xba5b702b, 0xb67aad05,
+    0x4f6aa000, 0x9ec11ea8, 0xd4dfda47, 0xb802154b, 0x30e711d5, 0xb4634651, 0xb173211f, 0x522d4d0d,
+    0xf0276341, 0x9acea9f9, 0xcff4e629, 0x37825599, 0xfee933c8, 0x52719656, 0xf443bb2b, 0xa450778c,
+    0xc83c6fe2, 0xd8dcc9df, 0x4e1cad7b, 0xddab6e30, 0x959637e0, 0x96537cf2, 0x66428eae, 0x6e9d1378,
+    0xb21f97aa, 0x75f02549, 0x6bb075d8, 0x5e2de389, 0xec7540f0, 0x3d4afa6e, 0xd3013fb5, 0x371dc5d2,
+    0xfa5e2777, 0x7ece3dc8, 0xcce2db5b, 0x1ac24051, 0x1aed8c00, 0xc1edaf1d, 0xac21139d, 0xcd55830b,
+    0x676d0a55, 0x4a44ddfa, 0x170e5235, 0x6094ebfe, 0x0658f29d, 0x37f2aaef, 0x9f9f4564, 0x2290c86f,
+    0x0c9046a7, 0x03fc9a41, 0x9903172a, 0xbc033b2d, 0x86884a80, 0x9735586f, 0xa089d640, 0xdd82faa6,
+    0x5dfef5ef, 0x2bc9a521, 0x32070e7d, 0x2f7aed6e, 0x0dd969b9, 0x2a27c73c, 0x49cc21f4, 0x4e07db0c,
+    0xceb99502, 0x2e019a05, 0xb66d2475, 0x08430954, 0x9b9bd3c6, 0x9845edea, 0x4b745ca8, 0x8f8818ae,
+    0xd0fbf2ef, 0x14283ecf, 0xe49c5ca6, 0x463ad404, 0x8860441d, 0x7aef4c49, 0xd55f89fa, 0x695d4ce0,
+    0xaf58ee27, 0x7a9c4542, 0xa7a78f10, 0x1322ae29, 0xed38c26b, 0xbe67f15e, 0x44b2ae88, 0x1ed9743b,
+    0x77d15be8, 0xd7131e8f, 0x9d11def5, 0x6e337dad, 0xbe61d555, 0x36b84b00, 0x3f4d70eb, 0x67f946c9,
+    0xe1692736, 0xc23b2ddd, 0xe4a1e4a7, 0xcb05f33d, 0xaaedc6ea, 0x260c412d, 0xc223c958, 0x512fe8c3,
+    0x7ca64ba6, 0xa98a348e, 0x038f55ca, 0x4932b76d, 0xd9eecaa7, 0x1ed4aec1, 0x7b69c8ea, 0x45b99cd4,
+    0x00dfbb39, 0x3306ee84, 0x5b35a391, 0x263c4969, 0x498ebc30, 0xfd1c1538, 0x2d911db3, 0xc77a4f3a,
+    0x7f6f59e2, 0x81c7a3b1, 0xd27ff117, 0x707be438, 0xdf6bcf66, 0x208e03e0, 0xa6021f71, 0x1f31a315,
+    0x699e96d0, 0x043994de, 0xe881824e, 0xf50d8cb0, 0x27e7c270, 0x20a0e2aa, 0xbded1b78, 0x437fa634,
+    0x91d10f64, 0xd52c83cb, 0xdbbaa863, 0xc11ef77c, 0x312832a4, 0xbcacde5e, 0x4396eeae, 0x74b99f7d,
+    0x39d1e623, 0x380ea906, 0xa034ad70, 0xf4a1841b, 0x4245ef6a, 0x2a1ae43a, 0x0de68f15, 0x711638e7,
+    0x6fab59cf, 0x0988c6a3, 0x4f4c6184, 0x4092934e, 0x9a012d12, 0x37e124b1, 0x14bf74c9, 0x03d85435,
+    0xee150789, 0x394c6146, 0x5a4bea59, 0xe823a416, 0xcef98f21, 0xe22c4c1d, 0x41a03482, 0x00a8a371,
+    0xaf5eb239, 0x5fc55c0c, 0xb9aa9f1a, 0x04c3e591, 0x5e6314d0, 0x5b899114, 0x78e3760b, 0xf238109a,
+    0xc094e530, 0x92218faf, 0x021f04c9, 0x13cb5174, 0xf6d3ec4f, 0x9fa4b054, 0x4e993001, 0xc027334e,
+    0xe7526d99, 0x6288a1b4, 0xa5c100ef, 0x5e470766, 0xfc0daf0f, 0xf5c3481d, 0x7552ba64, 0xf05cefbb,
+    0xc6034b26, 0xf7c2b823, 0x5cd2ca77, 0xb9e24103, 0x4fbe8985, 0x7598e794, 0xc5a99d0f, 0x49f4a26a,
+    0x88024743, 0xce50a843, 0x0f35d582, 0xd137c650, 0x06951655, 0x2f5b2ec8, 0x1053d9b3, 0x94bf2d43,
+    0x39d44d80, 0x469a0119, 0xe332fd5e, 0x6b816498, 0x6c0fc1a6, 0x00b150af, 0x4a1c9bd1, 0xce1a3e97,
+    0x9207f02e, 0x6235024e, 0x42ca6207, 0x747343a9, 0x26e7df63, 0x27e7a683, 0x5a336690, 0x72408e67,
+    0x6702bee8, 0x687b8e65, 0x90ff57e1, 0x9c839d00, 0xaca09c4e, 0x1bc49ae3, 0x56cac3c3, 0x61d94de4,
+    0xaa74b779, 0xa34d5640, 0xa4d5c56e, 0x1c7ba89b, 0xc8f40842, 0x3db43bad, 0x4728fd2c, 0x47f1f5dd,
+    0x7753a659, 0x344387a4, 0x48c9a2c4, 0xe4c99c0a, 0x77ebf97d, 0x4a2d38fc, 0x6bff3091, 0x826907f8,
+    0xd422ae15, 0x025f7622, 0xf9c3ce8c, 0x8b056ac2, 0x74c3fb30, 0x240560ca, 0xa17c5f9c, 0xe41110bb,
+    0x8f25333a, 0xfa9b49f9, 0xf0556c8e, 0xdbc0d48a, 0x9eb1b007, 0x9ebb4f7c, 0xa69576e8, 0xbf2c63f6,
+    0xf1b12ee4, 0xf4aaba53, 0x98403534, 0x83ad060a, 0xbee6cc79, 0x4fabd8db, 0xd887e25b, 0x833d5951,
+    0xf513e4b0, 0x2667510b, 0xce880277, 0xba573622, 0xeb04f53a, 0x1f3334de, 0xdcb612b5, 0xe8e40924,
+    0xd9112d8e, 0x8543ecf7, 0x3fe13774, 0x9afaa88d, 0x3573268a, 0x0b9fccc2, 0x7bda4a9c, 0x9cde68b7,
+    0x3fcc2574, 0x5933b7de, 0xf36b3b26, 0x717e965a, 0x618b2fef, 0x84f0b007, 0xce897055, 0xae9fd29e,
+    0x50a1ee1f, 0xd1f23438, 0xb96d60ea, 0x18d0057a, 0x12d9bfdd, 0x7e8d6f0c, 0x75ef2725, 0x5bab503a,
+    0x33a6a913, 0xf030105c, 0x05fbe578, 0x153b7a15, 0xebcb532c, 0x83f855fa, 0xccff54dd, 0x11fc0acd,
+    0x93afa29c, 0xc855754e, 0xd035ccf4, 0xba209df9, 0xeea0d22f, 0xa42e7e4e, 0x9f6396e9, 0x80771e5a,
+    0xa280db7e, 0xcdbbb7cf, 0x442e265d, 0x2aa1b818, 0x5389641d, 0x1895a6ac, 0x80cf76b9, 0x86e57976,
+    0x43089a4b, 0xed266f10, 0xbdf14393, 0xbe427bd1, 0x23bc8336, 0xb17e1371, 0x2e54feaf, 0x2c84e07a,
+    0x79d785aa, 0xfaa2dbb7, 0xf9a16100, 0x6eaf45a0, 0xb7e292a6, 0x06bf75e3, 0x6083c276, 0xb82598ff,
+    0xa49a0a48, 0xb691cd0e, 0x0cf9ea91, 0x68f13a59, 0x1de82ff0, 0xe130388a, 0x67aa56be, 0xb41eb484,
+    0x91500a78, 0x3a1aa207, 0x9bd2ebb2, 0xc51ab45a, 0x9419fbce, 0x76b20270, 0x737dd25f, 0x96f2efeb,
+    0x0e1f77e5, 0x94d08602, 0xcf1673f2, 0xfea6f6dc, 0x91eb6b79, 0x5ea1a2a0, 0xc6e0f69f, 0x541edfae,
+    0x57baa7ae, 0xe734707f, 0xd38ca3bc, 0x1beca8ce, 0x0d822c72, 0xc42faf2e, 0x451be78b, 0x66f0e22a,
+    0x532a5a7e, 0xfa19598b, 0xfa84b390, 0xc5ce301e, 0x66b99442, 0x14b732af, 0xf29f3cf2, 0x84604795,
+    0x1ff250c2, 0xe57a7532, 0x539a5578, 0x3b70ce4c, 0xe184c7ca, 0xd209851e, 0xa9abceab, 0x3c6a0242,
+    0x9cc3fb3b, 0x2b381d13, 0x8734bef1, 0x8864901b, 0x2841886c, 0xf0e11a70, 0x8424f06e, 0x1008310a,
+    0x5a8dfdd7, 0xb3320c5f, 0xbdf20be6, 0x50996733, 0x2bde1a91, 0x5aba90d8, 0xb8a4b453, 0x567fbb6d,
+    0x7a2c1d19, 0xa6592145, 0x151367f7, 0x6843a5cf, 0x51a49478, 0xfa146646, 0xd572e40e, 0xf489bb4e,
+    0xf60e2734, 0x78bf239c, 0x65f0ad86, 0x72ce42d0, 0x8897ce36, 0x3e9700ac, 0x86c20948, 0x90e26df7,
+    0x44510c29, 0xd4d6086d, 0xe431aa71, 0x82a7d352, 0x905da087, 0xcf7d24a4, 0x20979fb6, 0x6d8d7ef5,
+    0x341c613e, 0xe9466986, 0x8789732e, 0xe08c1f3a, 0xc4ea95fb, 0xd660b834, 0xd8d2fd87, 0xe0e7c213,
+    0x6677d24a, 0x67d5642e, 0x441946ea, 0x46ca6bb7, 0xd3ad5154, 0x192b0f33, 0xc7ed4376, 0x4a5298e6,
+    0xaf808fa1, 0x8e0fafd9, 0xeec40b89, 0x685f9b9d, 0xc2ba5872, 0xca4513d4, 0xf98b8964, 0x4b962ed4,
+    0x9060cc30, 0x2fe7b818, 0x472499c5, 0xab5d9c24, 0x57d0af9f, 0x2e27db7c, 0x8fdc103b, 0x62bd79a3,
+    0x7c8908e2, 0xae7a3b0f, 0x4580b885, 0x55e1b085, 0x09f219d7, 0x11ca8324, 0x474b35da, 0x9f2214e3,
+    0x17f4ad19, 0xa4ca2f7c, 0x804e7d62, 0xf76c189e, 0x6643967b, 0x71320e65, 0x78aca46c, 0xdb1058bc,
+    0x1f387053, 0xea3f814e, 0x1e14d9c5, 0x0b7de239, 0x5fdf9c24, 0xcc15ca7c, 0xb8262eac, 0x874f068e,
+    0x52165aee, 0xfb4e635e, 0xb6a40d10, 0xb334bd6e, 0x10b240d4, 0x8dc21818, 0xc2915f05, 0xcc2572b1,
+    0xe82f9587, 0xe78b5857, 0x1f07abe3, 0xe0778427, 0x3454ca87, 0x9b103c8e, 0xe92db320, 0x19c6ec32,
+    0x3a35fd16, 0xab950d40, 0x2e007666, 0xaea9ae88, 0x4435eed7, 0x1691f209, 0x342b3fac, 0x9f3aac4e,
+    0x878b3acc, 0x7b2b8acc, 0x36101612, 0x3847fad4, 0x2f703e58, 0x967b75e5, 0x98ff010e, 0x44af82cb,
+    0xd1e8501a, 0x4fa31abb, 0x393b3bd3, 0x46e8c575, 0x6e3c62a6, 0xf493951a, 0x9a6ba7cb, 0x674c9326,
+    0xcb9f88a5, 0xc1429e12, 0x524fddac, 0x9611c6a8, 0x57a0b317, 0x0556a038, 0x2c35ebed, 0xa3ca51cf,
+    0x9be26800, 0x0157fcb8, 0xcb459f97, 0xacbd5b83, 0x433fceef, 0x409e913b, 0x72a7a184, 0xec73778b,
+    0x97f03d14, 0x1c838822, 0x5711db9c, 0xa65b60f5, 0xa37c23cb, 0x1a3d30f2, 0xea3acf9d, 0x982048ef,
+    0x7b58cc15, 0x67e61173, 0xa177e386, 0x3cdbf5f4, 0x6cf843b7, 0xd03f0bfc, 0x17671399, 0x1f643dda,
+    0xc2e489bb, 0x35799e07, 0xd8a30dae, 0xca577bcb, 0x7122521a, 0xdc3e3e23, 0xa9672a49, 0xca5c4dff,
+    0x1e170ae8, 0xa38f9f1d, 0xb7eff834, 0x972392a8, 0x94e2ef68, 0x3102b898, 0xf4a4ba0b, 0x7efff6eb,
+    0x72a7048f, 0x4fdaaca5, 0xa0825b93, 0x05a338d7, 0x2de73c18, 0xf78fdb34, 0xf1213830, 0x4237e501,
+    0x673461fb, 0xc9bcfc25, 0xafc02185, 0xceaab2dc, 0xe1c4edca, 0x0e3ab933, 0x050299c2, 0xdac568a9,
+    0xb4852cc5, 0x294730f8, 0xbaa0b871, 0x3e1dec7a, 0x9d986aff, 0xc1f79614, 0x6e043ca9, 0x2d6f860a,
+    0xc47b9a12, 0x06428dcd, 0x869926da, 0x621650c3, 0x63152804, 0xed3d5357, 0xe70afc55, 0xcbb0fcfc,
+    0x4b906a51, 0x93c518a6, 0xec00b68f, 0xd4a0e5f0, 0xd4567e8b, 0xc2ae2f0b, 0x016d8046, 0xb2d6cb87,
+    0x3da4074f, 0x9a08a25b, 0x8b82b80a, 0xe0d6fd56, 0x5b9d48f9, 0x9dca7ed9, 0x36399046, 0x292bf7eb,
+    0xebbc10d2, 0xb71e07a3, 0x467b68da, 0xd10547fe, 0x188e4331, 0x37b9c4c6, 0xc1229f52, 0xdcef2241,
+    0xa82be588, 0x1ed26456, 0x1b4297d5, 0x9bdf5ae1, 0x24dad9d1, 0xcea71fc6, 0x6e55f233, 0x782762ad,
+    0x8de29e7b, 0xb7c8d507, 0x5697fe33, 0x34cbcbfd, 0x224e0581, 0xdbf1376f, 0x536118e6, 0xc53d5345,
+    0xfb965de2, 0x57122d3c, 0xeb23cfa1, 0x2ac1b332, 0x35dae10d, 0x4c5ee435, 0xfdf2efcc, 0xe4cc614d,
+    0xce096c32, 0x6172f578, 0x2ba8ba46, 0x2f314944, 0x90a60892, 0xef1bb2e7, 0x79c21bc9, 0xb46ac63d,
+    0x2dce2386, 0x5031136c, 0x47eb6cce, 0x7292174d, 0x954ec2e1, 0x9d6c2f96, 0x5c34174e, 0xaa7193d4,
+    0xdb6e5fa1, 0xbcdbadfb, 0x6d718bf7, 0x1105af93, 0x78beea34, 0xe34b00fa, 0x829f209d, 0xc5038247,
+    0xe19ccb2a, 0xcb9137e3, 0x839b1470, 0x253c99d6, 0x11378f8c, 0x7e314616, 0xf562ee8b, 0x41568177,
+    0xaf11933b, 0xe054fbc1, 0x046253a9, 0x8061d749, 0xb30691f9, 0xde4a83a2, 0x27066562, 0x3bec9b2e,
+    0x17595537, 0xc907a69f, 0xa6ec5e3d, 0xb92bd3eb, 0xbcea5243, 0xfc40d2cd, 0xa2d68ab8, 0x0c0ba5b8,
+    0xebdc36a3, 0x08f0e657, 0xad535ce2, 0x7f4622d5, 0xfd01fe02, 0xeaa3a2fc, 0x3f69b8c1, 0x561f4ea7,
+    0x3ac73bc0, 0xff2bc311, 0xcea195f7, 0xf2599658, 0xffaa7035, 0x302f0e8d, 0xf0515bd8, 0x2137117d,
+    0xe09f03f4, 0xedd7d822, 0xb9562100, 0xc3522c51, 0xd04a42ac, 0x4a67010f, 0xb714beb5, 0x00e9f56f,
+    0x86ab9319, 0x1ab642eb, 0xf8729823, 0x2cb5afbd, 0x2c3676df, 0x9c9e3747, 0x287906f5, 0x6d453303,
+    0xd1193123, 0x300ab51f, 0x3024c0b7, 0x0c400efa, 0x2cb771d0, 0x2b66c692, 0x46a3a024, 0x4f0810e8,
+    0x30b528f7, 0x36a270ff, 0x9ceb4eb7, 0x2928935a, 0xff540dec, 0xc06c307f, 0xefa708e0, 0x3381ecbb,
+    0x8274c0e1, 0xd2324bc9, 0xb481bcfb, 0xa59501c7, 0x0e23a31e, 0xc101ba8f, 0xb7a18e06, 0xaeb5a98b,
+    0xf2bca754, 0x1e2d3f5a, 0xb6deadbf, 0xf45273b5, 0x57a035a2, 0x23494eee, 0x10fc6898, 0x156f0bbb,
+    0xd31c403e, 0xc80921ef, 0x833b7ab8, 0x0b00ce17, 0x99fdac8c, 0x03cad365, 0x528337da, 0xf503a7fa,
+    0x6cf50bab, 0x3d1fa02d, 0x468784b4, 0xbfa2a194, 0x065127d6, 0xc78db7e1, 0x896d1a5b, 0x54ee482a,
+    0x77a54099, 0x68e05861, 0x255c22dd, 0x07ad6654, 0xc37b453a, 0x64c6c949, 0x85b93a72, 0x817231f9,
+    0xa75b0311, 0xade9dc64, 0xd27a980d, 0x4c762541, 0x4d61cb68, 0xf193e093, 0xcef302bd, 0x9f9e1880,
+    0x52d166f6, 0xbc0df4d2, 0xa8223a77, 0xe512fecb, 0x041278e3, 0x53c82e06, 0x1e9a3f98, 0xc3d5164b,
+    0x33f23a25, 0xd506e845, 0x1d329f61, 0x105da111, 0x028e273e, 0x76c77c99, 0x54647b93, 0x57fa2dba,
+    0xaa16ff8a, 0x21139b17, 0xd1185ae7, 0x5ddc387b, 0x383d9449, 0x767a08ab, 0x2e453de4, 0xc5d3e632,
+    0xbaff1399, 0x01041732, 0xce8f286b, 0x492f7477, 0x9eb52a54, 0x2812f262, 0x9913fe2b, 0x8aeea35d,
+    0x7b7caf8e, 0xc8484439, 0xa4e9ecce, 0x46440450, 0xa5fac367, 0xd495885a, 0xc1995ad5, 0x3f873925,
+    0x40563482, 0xa05a2247, 0x1a458f74, 0x589a7816, 0xa3f86e64, 0xae3e4a8e, 0xdbd73a76, 0xd42b03f5,
+    0x00000000,
+    0xcca1fbd2, 0x5cf0b3a0, 0x36d59010, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9,
+    0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000039785858912\
+                         78293137243057985174566720803649206378781739523711815145275976100267004264448 */
+  { 0x00000000,
+    0xa2377c88, 0x626687aa, 0xb426573a, 0x98a62a48, 0x1415cfd5, 0x63ef123b, 0x8a85d539, 0x315b65d7,
+    0xe707abb7, 0x4347f742, 0x3a2dd7e1, 0x8d5866ae, 0x4d9b24cd, 0xcbb07ff9, 0x5542543a, 0x9216f78b,
+    0x8f0120cd, 0x82a1b792, 0x4461fcf2, 0xc6b59549, 0xf587b861, 0x04808f8f, 0xf46067fe, 0x4dc2fa06,
+    0x1b877165, 0xe16a3919, 0x48d3497a, 0x65786b9b, 0xca248132, 0xbbae13ef, 0x4b2be1e1, 0xdec0d9dc,
+    0x92ebc5f7, 0x04d18fca, 0xcd517896, 0x06fb80e4, 0x587784e5, 0x88fb565d, 0x3aa72387, 0xba15d916,
+    0x637fb949, 0x820175dd, 0x10317ae0, 0x1a843cc8, 0xba26ae84, 0x1abf37ae, 0x5bb4afd8, 0xb81b5bec,
+    0x6a3a2b7e, 0xc55d8733, 0x704a2291, 0x66a3b0ec, 0x05b09146, 0xafd4a0c1, 0x075f8c40, 0xe1a121ed,
+    0x21c3d36c, 0x9e937d15, 0xe7b5592a, 0x32af21c1, 0x0689014e, 0xa59a82ab, 0x342c7ff8, 0x6814afb5,
+    0x536c909e, 0x1fda3f00, 0x32c0a2a5, 0x965e4d35, 0x3122b044, 0x7bf81781, 0xcff18037, 0x07f69977,
+    0x8cc414cb, 0xfdb17d6b, 0x6598f420, 0xcdaa08b5, 0xbedd043e, 0x7f3ae491, 0x46eeb61d, 0x7cebab09,
+    0xd49d555a, 0x1685a953, 0x7d04cb9f, 0x086d5f23, 0x4dbdfb64, 0x1e7bea5b, 0x40f7d352, 0x751e3e9a,
+    0x5295f20c, 0x923b8eca, 0x157b9167, 0xcee047e1, 0x24b8b07d, 0x6d5e8158, 0x051421b0, 0x717c41af,
+    0x81ce4be9, 0xf27e7416, 0x84f292c3, 0xb31668d3, 0x0ad5a30c, 0xe5ba850e, 0xb98d7988, 0x3f36e751,
+    0x4f14d74f, 0x51b049a8, 0xfd975478, 0x685ea230, 0x8d3980d6, 0x33c63275, 0x682acc3f, 0x7b1ee691,
+    0x93ee9419, 0x914456f6, 0x88f09688, 0x2cb33679, 0x489bbf78, 0xe81fb7ca, 0x13ff2dcc, 0xdb6131a4,
+    0xfd2e28c4, 0x0a2d5554, 0x16392c92, 0x8731eee7, 0x7045ceb6, 0xb04872e2, 0xac90f9d4, 0x290056cf,
+    0x9498d1c2, 0x57e40a35, 0x11cd8cae, 0xcdf5c80d, 0x2e3ee8c1, 0x60db19e5, 0xd467b814, 0x2a408da4,
+    0xc2a86903, 0x9c5db84d, 0xc6f54cd1, 0xb4654aae, 0x2a2cba9e, 0xa1db959e, 0x60ad71aa, 0xdef8d455,
+    0xff4dc435, 0x5e408f20, 0x4ff3bf19, 0x4a528671, 0x28e03c4d, 0x1452720f, 0xb39208e0, 0x7ae4c09b,
+    0x2079edb1, 0xd788b615, 0x9675b609, 0xbe8dd1e0, 0x428bd0a5, 0x5d8a1e47, 0xcdeb4ce7, 0xf10e4557,
+    0x4ab704e5, 0x2cdffcaa, 0x344d8209, 0xd724fc57, 0xd2776aee, 0x8940bd94, 0x47a5c8e0, 0x609e366e,
+    0x1e19c679, 0x4a38bb25, 0xb7faf45e, 0x2dfc639e, 0xd4826ec4, 0x72d74eb0, 0x048b2fb9, 0x381374b0,
+    0x29226f14, 0x9d85a479, 0x552e6156, 0xf9f293e1, 0x0dbd37f0, 0x61a2fe6a, 0x6f3d134f, 0x5349daf6,
+    0x602e79ac, 0xb3ea705b, 0x8620a51f, 0xc715e0c4, 0x9d5a6aba, 0xb47e3112, 0x8040ee3e, 0xd9c6434e,
+    0xe72f972b, 0xcd618af3, 0x07437e87, 0xf4a9b375, 0x3cfea840, 0x58f63f91, 0x755a8370, 0x779a8c7b,
+    0xeaafb9cb, 0x829f71f2, 0x75cb8896, 0x828929e1, 0x0a4da772, 0x468dd71c, 0x2ab4aeaf, 0x610e41cb,
+    0x26e54cd6, 0xbdb44098, 0x9d9073ef, 0xd4407571, 0x38cbe6a0, 0x77782e43, 0x7faa68c3, 0x4480d5bd,
+    0x62e1f1a3, 0x50f3e114, 0x75e6d150, 0x4d9c8d7a, 0x4948b17e, 0x91570b36, 0x271fedb7, 0x20a34f6e,
+    0x7dee7cf4, 0xcf1795da, 0xcfb45b5c, 0xa61d21bf, 0xc9aabcae, 0x938ad5f5, 0x679c6b0c, 0xc99b838a,
+    0xc25e247a, 0x26da9f42, 0xeea55208, 0x41e180e2, 0xeebe03cd, 0x58af9304, 0xc9d813b3, 0x4f1a877e,
+    0x1637cdf0, 0x0e653f2f, 0xc0f64589, 0x89625da6, 0xcd7d7f46, 0x55349581, 0xb97568b1, 0xb09b2b03,
+    0xa0f3c071, 0x9a9fad8f, 0x3dbd85df, 0x0fd3348a, 0xa8fdd70d, 0xf1dbaf72, 0x37045a3b, 0x9f0ff1a2,
+    0xd4abdbf0, 0x13aeb270, 0x55c2051a, 0x672d9641, 0xa83a6bd9, 0xecc5d371, 0xfd01c898, 0x6ec234ce,
+    0xea4d6d14, 0xc1140709, 0x32d70fa6, 0x23abe7b2, 0xf2515b57, 0xeba90a7b, 0xbf450903, 0x5898c1a4,
+    0x0f5b4557, 0xa1062275, 0xfd079f88, 0x8382a98e, 0x73640cbd, 0x869e123e, 0x27df4755, 0xdad18b6c,
+    0x458ec5a8, 0x936dcc36, 0x3d095575, 0xea8b2bc7, 0x7d8ab05f, 0x854dba3d, 0xa673f567, 0x0116b54e,
+    0x91cfa535, 0x686147b1, 0x1e78a4b2, 0xc36d1758, 0xf1f18433, 0xb943bde4, 0x0d6e3b86, 0x2f383250,
+    0x6b67229a, 0xefccdd51, 0xadc3d48e, 0x3f3a8812, 0x7cb351b4, 0xde8167a0, 0x0ec34b9c, 0x2a7eeae7,
+    0xdafd003f, 0x91e45d30, 0x3558a3a0, 0xf09e1350, 0x4c0d4176, 0xcafec068, 0x407a8d4f, 0xa8c25b5f,
+    0xf77569a4, 0xf0bffb9f, 0x74745ce2, 0x84282308, 0x38e7b058, 0x76667463, 0xf81178eb, 0xe969b701,
+    0x06d35b02, 0x3d57240b, 0x7ef92d43, 0xe615dd05, 0x1086dcd7, 0x5ae0018d, 0x5b67babb, 0xa1f8e14e,
+    0x828682bd, 0xb29a92e4, 0xcfdc9de1, 0x68b5005d, 0x559b5ade, 0xaa7e08bd, 0x59ff729f, 0xc82f16c7,
+    0xfb494de9, 0x2b552e95, 0xa6eb5796, 0x6904f8ef, 0x56ca12af, 0x0d957b2f, 0xe1439428, 0x3ee04b9e,
+    0xcef550a9, 0x5a3f3975, 0xc1da070b, 0x34af2269, 0x4e737046, 0x65610b97, 0x83e0337a, 0x529713de,
+    0xc90a41da, 0xef881f58, 0xa5903317, 0xcf4c222a, 0xdab49f13, 0x80f7d657, 0x69e6844a, 0x9f9753a5,
+    0xccc36abc, 0xd0f95925, 0x385aaac6, 0x7bdc2f5e, 0x9ec9a0ce, 0x878be37c, 0x4851fb34, 0x3353cd02,
+    0xf4fa9898, 0xe4d51769, 0xe347c525, 0x85222746, 0xbffc7d4e, 0x3ed85a9e, 0xc1dd4106, 0x30023182,
+    0xdf575a06, 0xbcf4686e, 0xd3761698, 0x69bc00cf, 0x3dcda045, 0x171d83a3, 0x0b3878f1, 0x2bdd8547,
+    0x923d5e67, 0xce0dfeaa, 0x711e942e, 0x728b0e58, 0xac2f9f12, 0xfbc9484b, 0x272e0fbf, 0x06718295,
+    0x16c15f95, 0x3cea1aa5, 0xaa9373d5, 0x129b86ad, 0x8e652650, 0xa5771ea5, 0x8ede9c7d, 0x8de49b2f,
+    0x31ba7709, 0xaf45ab62, 0xf3dbdbee, 0xf63b1569, 0xbcbaa5dc, 0xbd393270, 0x80203d8d, 0x225bef14,
+    0x189bbc4c, 0x5c7e2cda, 0x6baa93a3, 0x22ea1b8e, 0x9132563d, 0x52658e9e, 0x10f274e0, 0x04efeefc,
+    0xd819c8d3, 0x65a17898, 0x582b9bdc, 0x4c76496f, 0x7ddaae6b, 0x37d427d8, 0x37b29e93, 0x896a4b85,
+    0xdef50941, 0x63f18852, 0xbe6dcc63, 0x252a931d, 0xca23d106, 0x6373afc5, 0x6f09d046, 0x60dcd2dc,
+    0xa80135fa, 0x1de598eb, 0x05c84304, 0xe6d561cf, 0xed65af92, 0xc7a380d9, 0xc3e6dc94, 0x1239b7ff,
+    0xc282a627, 0x39862a47, 0xd5e37380, 0xf1f23d9a, 0x2f7ecc41, 0xd2fb04fc, 0xfa79d00d, 0x4c464d74,
+    0x2469e20c, 0xbd2d7251, 0x832b6bb2, 0x289648ae, 0x1d9b883f, 0x753092d1, 0xf5614fc6, 0xc458332f,
+    0x712dec2e, 0xc5ddc0fa, 0x32b95cd8, 0x133a1252, 0x433e2018, 0x16a6ea9a, 0xb1ad1ebd, 0x9f270936,
+    0x25bdab1c, 0xb64db68c, 0x0c06121d, 0xc050cf45, 0xcc291fbf, 0x9a836ada, 0x5e710bf5, 0xde58def9,
+    0x430298b5, 0x37313db8, 0x178b9118, 0x0cc7f8e5, 0xfae0119f, 0xb04eb3b5, 0xde5b5e30, 0xf3dabb8e,
+    0xcad32e7c, 0x8f8a80e5, 0x33524cfc, 0x6e2ccb0f, 0xa6fb9cf7, 0x6d1d6d01, 0x1ceed401, 0x72932a10,
+    0xd074e837, 0x57af45e3, 0x4a4055a5, 0xe6c08251, 0x891aae5c, 0x67d97108, 0xff16fdf7, 0x42050a4c,
+    0x8a1a20d9, 0xcf76cfda, 0x570f3564, 0x3ef0e7a4, 0x3fc2bfd2, 0xf6e07789, 0x68da7f76, 0x4afbb5d8,
+    0x9dc7e1a6, 0x1cb4844c, 0x346465b1, 0x8877515a, 0x3cf8f414, 0xebaa5b19, 0xf5449cec, 0x83b31c56,
+    0x4d9e6700, 0x8a9affc1, 0xfbbd5f84, 0x8991b62e, 0xdb01296a, 0xf1b653db, 0x6de0c9cc, 0xcf5cd529,
+    0x7be7e98b, 0x113841c7, 0x9120ed41, 0xe6da7099, 0xbbe7a4da, 0x6f1335f6, 0x5d926d59, 0xb7ace269,
+    0x1424206b, 0x770d198e, 0x159a4819, 0xba6185dd, 0x4a497adf, 0x1a6ca5cc, 0xca37fc12, 0x83f2fe0e,
+    0x7053da47, 0x374bbed0, 0x1cef2ab3, 0x65a82c70, 0x94fe4dfb, 0x8a951f3e, 0x44398b89, 0xce660403,
+    0xe5c5ded6, 0xb807ccd4, 0xdbac1cca, 0xaa8fc7dd, 0x85583233, 0xcea98b71, 0x0c23baa2, 0xbb0d132e,
+    0x70153cc8, 0x169005f5, 0xe2f82a48, 0x6e73fa45, 0x5eee2214, 0x122ef251, 0x74b37e6d, 0x001099ca,
+    0xaab8117b, 0x44067957, 0x9c1945fe, 0x12e2d2f9, 0x87e89a75, 0x911203d4, 0x8af5dc6e, 0x8cc20b7f,
+    0x3c0f6871, 0xe84c7190, 0xbe8763f9, 0x9e719a01, 0x4455fd29, 0xe35ea942, 0xf2842d85, 0x558204cd,
+    0xa67cb051, 0xde505d94, 0xb3ac405b, 0x3ad36738, 0x4ada8db4, 0x9f099a9a, 0x988e34ca, 0x979f5bb5,
+    0x232b1343, 0x5137c623, 0x98fb111e, 0xb9c31610, 0x74e9ffe4, 0xec0c65ab, 0x6e4e8200, 0xec4b2016,
+    0xbdbde24e, 0x5f0e7ced, 0x9efbdb64, 0x4d31019b, 0x537bdff3, 0x35ed75dd, 0x8c9677c1, 0xb45dbffe,
+    0xe450bfb0, 0x6a960950, 0x70148095, 0x21630d83, 0xc5e937c6, 0x7bf450b6, 0xd2fc8673, 0x59bbdd48,
+    0x2efe8526, 0xe82333c1, 0xb9f0a582, 0x69f29b77, 0x80cdc178, 0x5a3f030f, 0x01b2f8b6, 0xf872acc4,
+    0x4b5f6574, 0xe14f0e82, 0xbb19079f, 0xf7665041, 0xe2d94a3a, 0x7e0735f0, 0x9f78437c, 0xaf911c5c,
+    0xcea4f04f, 0x59d61c39, 0x1bd0f142, 0x3d3221bf, 0x01605c26, 0xd28f7202, 0xf045864d, 0x12437bc4,
+    0x774d28a4, 0xa7309d76, 0x012c9516, 0xf12839d4, 0x30026349, 0x9a83bf21, 0x30d562d8, 0xb7e24855,
+    0x38e5a4dd, 0x5825b55a, 0x82617e7e, 0xae7ef621, 0x98d93678, 0xc6b8719c, 0x457f30c1, 0x9e2703f9,
+    0x2ba5058c, 0xcfdbafdf, 0x157f2d7e, 0x0c32218e, 0x841269b4, 0xdbe1596a, 0x9cc3ffd1, 0xf4a3c40e,
+    0xc7dd8853, 0x1708fa5c, 0x701ffb11, 0xcac5a995, 0x704197cd, 0xa21fac3e, 0x9f56173f, 0xa388df65,
+    0x63dba105, 0xe1f5eea7, 0x97a79631, 0x193f09ac, 0xa81e84d1, 0xbf1847ad, 0x913fc690, 0x83838c4d,
+    0xeea39588, 0x0e837cdf, 0xffbbac45, 0xd7189206, 0xc6237e35, 0xce1b9ea0, 0x2d41f885, 0xe36c4b70,
+    0x594f21da, 0xcbf80b95, 0x1054eec8, 0x1ab6c4df, 0xa85cbdf6, 0x205a5d2c, 0x2733ce9d, 0xb8738b22,
+    0xfa76464a, 0xdbbc8678, 0x690a339a, 0x76516e7f, 0xb30fa910, 0xf627be17, 0xa8906e79, 0x7a868ed6,
+    0x2b277749, 0xd871a428, 0x1ef9b50f, 0x5433d841, 0x74fafb67, 0x7f9f8782, 0x6378ba3f, 0xbe350005,
+    0x9b6bc7f0, 0x881d5a3e, 0x49c397e2, 0x54e92ff9, 0xfa54f8e1, 0x24cada00, 0xa18dc8fb, 0x88bd8479,
+    0xc401e71e, 0x2d47be12, 0xe48f5f8b, 0x6ac01e0f, 0x25865b78, 0xbd01dee2, 0x1d042b65, 0x7cb019bb,
+    0x1bf4205f, 0x81fc9aae, 0x1ac0b9ee, 0x516e0fce, 0x0ddcb3be, 0x928df95e, 0x51978f52, 0x3fcc9f77,
+    0x591f8202, 0x9a0e4243, 0xa0d9de4c, 0x7833c7bd, 0x1d8ea44d, 0x9a160abc, 0xa726254f, 0x9aa0a595,
+    0x65a54c8b, 0xbde48ace, 0x9194ee42, 0xfdbfff1c, 0x6f9aa149, 0xa4f2cd4a, 0xa2f95e7d, 0x1f1f65d1,
+    0x7a07c00f, 0x5ab3e3de, 0xf257347f, 0x392b4998, 0xdc3bc9ae, 0x55ad7561, 0xe421517f, 0x03fed66f,
+    0xc50f65ea, 0xe600edea, 0x0692a452, 0x98aadf71, 0x9a2771c8, 0xb8c62307, 0x7386c3a9, 0xdb02fdff,
+    0x934eb666, 0xce91d920, 0xb336aba9, 0xe40e8e54, 0x6fec78e2, 0x83e29daf, 0x45c3e6e2, 0xca8ff3a2,
+    0xb2d1e811, 0x66e5bc80, 0x1853718b, 0x2959988d, 0x3ba494e6, 0x16f250ed, 0xda5feab6, 0x55e88b6d,
+    0x68c5d6dd, 0x07f2c88e, 0x23ef297d, 0x5c8bf215, 0xae3b3878, 0xd04cc693, 0x70701051, 0xca4baf81,
+    0x678e9300, 0x5048906c, 0x1d669895, 0xc60193f3, 0xe92bd5bf, 0xe708cb77, 0x3e23f801, 0xcf2dc492,
+    0x154d75de, 0x2bd19683, 0xd62c855e, 0x2d6f0197, 0xda8eb28b, 0xb0d5de2d, 0x710a7f3e, 0x93e1b0bb,
+    0xd4ff9abd, 0xb0df25a9, 0x794fc3d7, 0xc2652e3d, 0x5420d0f4, 0xae19d024, 0x3cc7939f, 0xf41d3dc5,
+    0xbc39e829, 0xbc323538, 0xa3001e23, 0x218b32d5, 0x54a01d2e, 0xd8e58f34, 0x4d2e9a4c, 0xfd472725,
+    0x45f3cc7d, 0x68d09dd2, 0x9c951173, 0xcfa21148, 0x9dc9a93c, 0x54f99f4f, 0x3814a4c5, 0xca367e32,
+    0x630e0d1f, 0x100e5cbe, 0xd9e1a32a, 0x952bfcf1, 0x9fdc6089, 0x74f864f4, 0xc10365ad, 0xb49ae6b4,
+    0xb5f19cf1, 0x67aac909, 0x23a04aaa, 0x27d6594b, 0x034359be, 0xc184d7f6, 0x3bee6b14, 0xcd084edd,
+    0xc40cb584, 0x72a3afc6, 0xea254445, 0xf2be8e16, 0x1de8b72b, 0x7d10e0c1, 0x57b07d3c, 0x5114af80,
+    0xf9bcee43, 0x5a811a1a, 0x76c69862, 0x0197f155, 0xb6b69c14, 0xab003fd0, 0x75bf5a36, 0x7ca9b725,
+    0x75461815, 0xebadc850, 0xfdee0abf, 0x6ad21765, 0xaa7fd0c9, 0xc48b9291, 0x911ffded, 0x39ab05d9,
+    0x9862f9db, 0xe755929c, 0xb6a3c7c0, 0x4ae26da0, 0x4a804ebd, 0xf7dcd7b3, 0xc3ce2386, 0xa271ed83,
+    0xe5e56f12, 0x6a814c2d, 0xdbd430bd, 0x7b89d88e, 0x6ca346d8, 0xa583c1df, 0xb01f6162, 0xec364925,
+    0x53e26aa8, 0x4eeba4f1, 0x3063bab9, 0x4753f4c5, 0xe19f6117, 0x29b0d2a2, 0x230bda68, 0x85db9ce4,
+    0xc6001cca, 0xf9dcd611, 0x0fdc8978, 0x5865f0b6, 0xd321343c, 0x48bb5e0a, 0xbb070967, 0x44bd993e,
+    0xfcd601e0, 0x4f8bc3f8, 0xee1cb148, 0x774d18ad, 0xb103defd, 0x8e906775, 0xda6df8c4, 0x3d211af1,
+    0xf6193b7c, 0x2c2ebf15, 0x36685d62, 0xaa1706a6, 0xff7ebcd4, 0xda419a93, 0x704b908b, 0xced2472d,
+    0x6eaf9b8e, 0x4764b835, 0xa0d97c2f, 0xc98d5a69, 0x1cc69d6e, 0xf7502764, 0xa0e3c3da, 0xbc7fee8e,
+    0x7123d436, 0xe3310c4d, 0x74647988, 0xe4aaefe9, 0x5abb06c7, 0xfb0d6d0a, 0x1542756c, 0x3c12bb27,
+    0xf53ddcc7, 0xdada0247, 0x8ccc28d6, 0x09291280, 0x2bce7028, 0x1a74a448, 0x40134e37, 0xf4b1f1af,
+    0xc6d46669, 0xe7198f30, 0xc36070a9, 0x990d0422, 0x1e48b038, 0xa7df696b, 0xa8006a86, 0xa4f794d1,
+    0x6984b180, 0xea92be14, 0x155bda5b, 0x5907fb8d, 0xd7b15624, 0xbbbbddae, 0xcea0d1e0, 0xc1828b04,
+    0x8dafebbe, 0x55959c20, 0xb039cf43, 0xf373e5bf, 0xc2083541, 0xd4c94456, 0x16e39148, 0xd124ed6c,
+    0xccf37a22, 0xe8e94100, 0x23b1bef3, 0x09eeae44, 0x5ef807e8, 0x32caf2c8, 0x04377af1, 0xe528cd17,
+    0xdda84a21, 0xd4e6a554, 0xfcfac724, 0x51b3dc90, 0xccd01f7d, 0xd57716dc, 0x9e3deb59, 0xd9323d17,
+    0xc917d239, 0x0aca333b, 0x6e4d3a97, 0xdc1b139f, 0x998c8f1a, 0x6e53d85b, 0x6af3863e, 0x5832014f,
+    0x2a0c6f06, 0x2c985bfc, 0xa961eb3f, 0xc37dc439, 0x338dfc37, 0x911b3953, 0x37014d1a, 0xf968ca79,
+    0xb19a14fc, 0xc50888dd, 0x1b894e66, 0xffebd5a4, 0xac7e2259, 0x9b37f5e8, 0xed92c0b8, 0x1205c216,
+    0xc6253174, 0x615d0a51, 0x127111cc, 0x8f9f5449, 0x54b560d8, 0xa0ad808c, 0xa230602f, 0xe90e4a40,
+    0x00000000,
+    0x6650fde8, 0x2e7859d0, 0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4,
+    0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000019892929456\
+                         39146568621528992587283360401824603189390869761855907572637988050133502132224 */
+  { 0x00000000,
+    0xe5764152, 0x2f5cf9d6, 0xcf1385de, 0x088d6027, 0x5b9caee0, 0x9b9c7480, 0x90569449, 0x0114b9ac,
+    0x5fd69021, 0x41a85d52, 0x1dc08a9c, 0x4166cca8, 0xc85e7c59, 0x204ffc21, 0x0ffe8a51, 0xbc9db145,
+    0xa4e4d959, 0x72431c4b, 0x0aeade03, 0x7c4e872a, 0xe6135724, 0x2cbcb004, 0xac17cda8, 0x7177b65e,
+    0x65836672, 0x9bc104ff, 0xfc508db8, 0x2b2f2222, 0xc3c84ff1, 0x1f390d13, 0x47bbc7d4, 0x516f8168,
+    0xed909451, 0x5ea3d5dc, 0xc055e88e, 0x3df98e71, 0x0b7b4594, 0x251e225f, 0x19c578e6, 0x96f6f598,
+    0x8b79612a, 0xb8f056ca, 0x45fc0641, 0xeb3a38d4, 0x690cf0fe, 0x4127d145, 0xdedb1e44, 0xbd7486b7,
+    0x79835989, 0x7891cac3, 0x975c71d0, 0xd0408d25, 0x41fc78f1, 0x527ff5c6, 0xc86c646f, 0xcece507e,
+    0x090e1ace, 0xd57f2915, 0xbdf5cb65, 0x8b0ec5fc, 0x126d15bc, 0x56669bed, 0xbca27e16, 0xf16d3ceb,
+    0xe55aa317, 0xb44f92ac, 0x30c05b32, 0x641e4337, 0xbd271877, 0x7fd563aa, 0xa134ce09, 0x4d62cd56,
+    0xd280f4a0, 0x52470ec3, 0x68b6ed0c, 0x16587d2d, 0x1c17c16f, 0x2895a60d, 0x2b52f734, 0xafebe78c,
+    0xa13915e7, 0xebbf03bc, 0x0497d231, 0x9af17271, 0x59b250c8, 0x38285105, 0x84521ccd, 0x90595a7d,
+    0xa805e770, 0xb4600aeb, 0x63cd5f87, 0xcb9a3765, 0xd8b709e4, 0x666fcd1e, 0xd7f7bb9f, 0xda9b18c8,
+    0x6e1caa47, 0x166f8479, 0xb0d5e5bd, 0xde07785e, 0xef359a02, 0x36760b1c, 0xac124be5, 0x449af189,
+    0x6b992c59, 0x1a1bcc14, 0xeefeef2f, 0x9f92072f, 0xaae2318d, 0xe1d49ea9, 0xcb38681f, 0x1f008cfc,
+    0x8342db5d, 0xc84abea6, 0x00d11248, 0x910e7669, 0xaf3dc986, 0x36ab1ae7, 0xdbfddbf3, 0x06915533,
+    0x9049ffa1, 0xdadfaa11, 0x4f7f82be, 0x2ca768a6, 0xe852253e, 0xe29cd597, 0x87374371, 0xb86c662c,
+    0x6e4d6a9e, 0xdf2c2353, 0x870ed2aa, 0x3733fb0d, 0x776edf7c, 0x6cd776e4, 0x5d38a0da, 0x8663fd1c,
+    0x2505a4af, 0x6b10de8b, 0xeb8c88db, 0x54c13115, 0x0d89b0a0, 0xab04edef, 0xee24a1e3, 0x42febe09,
+    0x32e631be, 0x3e430df4, 0xc2282724, 0x12ecf1d7, 0x96638a98, 0xec522e85, 0x92dd7970, 0xae9b91a3,
+    0xee0ca2d0, 0x5ef4aa5f, 0x9a0cd7b8, 0x219bca87, 0xe73b3914, 0xacb21f0d, 0x49c17213, 0x30e9d99e,
+    0xaedfc92b, 0x846d1ee5, 0xc6b47864, 0x1d884846, 0xd0bf9405, 0xc55408a7, 0x5c4d6e13, 0x4224559d,
+    0xc0e19234, 0xf173504d, 0x62d69a0d, 0x6ff0e9f5, 0xbc35cc68, 0x14e46df1, 0xb5293a20, 0x97b7c9ec,
+    0x7435173c, 0xc2edd675, 0xe79398a5, 0xeb1c1586, 0xca831121, 0x8b78b51f, 0x4a63244c, 0x93b85ceb,
+    0xf1a26855, 0x3c639351, 0x7d584ff3, 0x33a4b687, 0x62729c11, 0x29141b3a, 0x04cf9fae, 0x6a3f010a,
+    0xf1ce4fc0, 0x3d6e2b5b, 0xdcded4ff, 0x00423c5b, 0x868190f3, 0x284b14f7, 0x842456a1, 0xefdda4c5,
+    0xca12d0f6, 0x4b4d54a3, 0x8a9e051e, 0x77a20cb9, 0x8c598aa0, 0x0fb3b895, 0x322a921b, 0x9bc517c2,
+    0x49d4fa48, 0xbf7e2fd4, 0xab52eb46, 0x29f2b538, 0x6a1e241b, 0xe5fc839a, 0x5f2b3f33, 0xbcb23a57,
+    0x7af3e082, 0x14a937b7, 0xd696fb47, 0x522ffea8, 0x92cfe515, 0x26c036fa, 0xfe103df5, 0x086418ef,
+    0x41066064, 0x7563e570, 0x04520d97, 0x17312f11, 0x6813165f, 0xafe787e0, 0x52c62eb5, 0xcba49a3c,
+    0x1730ca8f, 0x61c7193d, 0x2494293e, 0x3eee4425, 0xcd745048, 0xb979d111, 0x1a1dee4f, 0x8516329d,
+    0x79b86f01, 0x4f9295f9, 0x907ea10e, 0x2665e40c, 0xd571024b, 0x502fac92, 0x895e0fec, 0xe0a93508,
+    0x0adb8c4f, 0x1959d25f, 0xb2445841, 0x8dbe64b0, 0x8eb1d8f7, 0x0d40236c, 0xb1b44299, 0xead78b78,
+    0x6ca4a5f0, 0xe7eac53c, 0x467b9e6d, 0x9c83b090, 0x05146fab, 0x56a3cf9c, 0x08cc8d2c, 0xedb196ce,
+    0x0daf37e0, 0x0e96795d, 0x0e09106e, 0x0d16e2a0, 0x92d07f61, 0xe8469f54, 0x67b56fb3, 0x01d6e424,
+    0x86c520a1, 0x77dbfbf2, 0xc458636c, 0x419b225d, 0x07ef4213, 0xb80590bb, 0x19d1d9df, 0xc01f287b,
+    0xa84636ce, 0xd79866c5, 0xb89bda60, 0x86da8507, 0x36c30ae7, 0x8ea6e069, 0xc664a2ee, 0x48ccf18d,
+    0x23bb0df4, 0x56ce6f29, 0xbf7619e3, 0x196d3782, 0x5bd85031, 0x4aa1c380, 0xbbd7a589, 0xc8c61809,
+    0x46988c22, 0x87511352, 0x2dce3a0e, 0xad93f1b5, 0xd4c8329e, 0x4b95ffb6, 0x8d7090d9, 0x0e0fa83d,
+    0x6dfc2851, 0x1d3ad08e, 0x75336d9d, 0x18becaa9, 0x2bb3d158, 0x6ea9d0ae, 0xabb6db46, 0x1f64c1db,
+    0x41b34503, 0xfe41ccbf, 0x85607626, 0x3f4e0cb3, 0x4540e4da, 0x52e8c573, 0xc8c26e5d, 0x4c51ed14,
+    0x9081ca68, 0xa8329006, 0xbc123c00, 0x96dd15da, 0x3df6ae96, 0x111a33ba, 0x6ea0b513, 0xc39d043d,
+    0xe52b6931, 0xc6c3b52f, 0xba2faa4d, 0x1f77b6f0, 0xaa5a1696, 0x4622a42a, 0x827cbc67, 0xd6c3e954,
+    0x920c2109, 0xf3e620bb, 0xb8eebd5c, 0x478c012a, 0x3ed00b87, 0x642bdb8c, 0x7c4fe911, 0x00b37a19,
+    0x936b7d0a, 0xb785889e, 0xfe1412e6, 0x5dfa7fbe, 0x09c2d715, 0xb03b22bf, 0x38f1f835, 0xe36c7f0b,
+    0x092faa3a, 0x8ddf6fd6, 0x14f89117, 0x1165e154, 0xa62a4d3e, 0x51ca1db6, 0xd4d28b2e, 0xdf772e67,
+    0x2e1bd4a1, 0x4788da4c, 0x7863f3c3, 0xbbb17709, 0xc9581a90, 0x9468f82e, 0xfb51ce1b, 0x1ab6ee37,
+    0x76bf99af, 0xf566341e, 0x6144b458, 0x29484a8d, 0xab20b31c, 0xa028d088, 0xd7543fe2, 0xfc6039b1,
+    0x2a68b119, 0x8e50eb87, 0xd1af234f, 0xfa5369db, 0x31ed12bb, 0x8524e36b, 0xb254a086, 0x1caa9a85,
+    0x386db101, 0x30e537de, 0x085bc9d8, 0x3deab2af, 0x4edf3fa2, 0x53abdc44, 0xd53a87c2, 0xa005ee88,
+    0x109b7cfd, 0xb40a6045, 0x6c063e4d, 0xe2fffe5a, 0xcc623a6a, 0xb30a7cb9, 0x64434e32, 0x7f33260a,
+    0x6a37819d, 0xe06bb430, 0x618d0d86, 0x499edf9b, 0x6781797a, 0xf3f19274, 0xd2ae4695, 0x5b974e53,
+    0x1a46a647, 0x5876f938, 0xc38ec368, 0x4d996cf6, 0x2b387f92, 0xd782fb05, 0x2884b9f3, 0x91e220e2,
+    0xbf66a676, 0x26d3827f, 0x051fc7f4, 0x00ed4926, 0xa390a090, 0xbaac554d, 0xc2867f30, 0xad2d19c0,
+    0x173c8415, 0xa28181c1, 0xb2db84bf, 0x8291f285, 0xb5ac227f, 0x67c90f83, 0x5645f4e5, 0x0d7b8682,
+    0xc71e594a, 0x9e44afd8, 0x93f00666, 0xe6c8a215, 0xfe425691, 0xf20fd5df, 0xc014ea1a, 0xc4369fc6,
+    0x20e917c1, 0xc93db7e1, 0xbfedcb87, 0x26554fb0, 0xe6a476b1, 0x3e3c9b50, 0x7c0301d9, 0x3444de03,
+    0x7b37d97d, 0xfec59704, 0xf155ad62, 0xe7cee00d, 0xf02f4660, 0xc4a34bdf, 0x7b014c82, 0xac11e9c1,
+    0x52a96513, 0x3269e039, 0xa434406a, 0x30862aa3, 0xd03f9d3d, 0x2916be07, 0xaa46457d, 0x88549605,
+    0x8442354e, 0x9374f360, 0xf446faf5, 0x90070fe3, 0xf6957ed1, 0x8ab9d2cc, 0xa23990f5, 0x89bee15a,
+    0x31be4cad, 0xc91764d0, 0x847b2e0e, 0x5b3ddd16, 0xf23c9742, 0xd7af8ea0, 0x4bb91aae, 0x563b8fe4,
+    0xb983dc0a, 0xd1edcd31, 0x80a33514, 0x79b6396a, 0xe23e6970, 0x206a1c3b, 0xe48c7613, 0x83a69d1c,
+    0x418a4d73, 0x93c0e75c, 0x09eb0508, 0xd3c80efa, 0x92d7fdc0, 0x3ad94bf5, 0xb96a22fd, 0x98254840,
+    0xd90fde36, 0x660c0cce, 0xa8f4c469, 0xee80577c, 0x88c492b1, 0x20f05177, 0xf64cda9c, 0xe0a6ccb7,
+    0x9a5dd6dd, 0x48b1dcbd, 0xb84184c1, 0x72a1def6, 0xe8b1d6b3, 0x2915469e, 0x10b6e145, 0x8adb923d,
+    0xf77e8a78, 0xd3f108b6, 0xf9501953, 0xb5a8b64c, 0xc6c4a056, 0x1890230d, 0x107a1916, 0x802f8c4a,
+    0xc1b24833, 0xa066ba92, 0xbe135397, 0xebfba567, 0x4b391821, 0xa9cf9aea, 0xb8ec8144, 0x32ab4778,
+    0xc59f7f8b, 0x6603bb0d, 0x70263d3e, 0xae35b438, 0x629ded17, 0x85665679, 0x12ee164a, 0x9f82cc2e,
+    0x511aabf8, 0x8d23cc67, 0xbf2bc3be, 0xe92b4f51, 0xb487264a, 0xbac0b8af, 0x13bc2e07, 0xb9395358,
+    0x2997d403, 0x6d4bd66e, 0x9150854a, 0x8cb23dc1, 0xd6ad4c02, 0xed67de73, 0x1f5cebd2, 0x4d4783d4,
+    0xf9a3d622, 0x85c8a341, 0x52ab51fc, 0x4da4c00b, 0xba08bed2, 0x69572d20, 0x9804e531, 0x373ccdf0,
+    0x67ef6cb9, 0xf0b7520c, 0x0714ee24, 0xffc60d0d, 0xf8d598b5, 0x4065fde1, 0xe106306b, 0x8129d6ce,
+    0xa26c5af7, 0xbaff0f27, 0x8e0a4aaa, 0x91c5d510, 0x5ce0adb2, 0x1a251c7f, 0x667ba264, 0x84131507,
+    0xc2607f42, 0x4e1e440d, 0x0bb5fcb7, 0xcfdcfa95, 0xe2ec3459, 0x94934a94, 0xe1865f64, 0x797fbeb1,
+    0xd411c5b4, 0xa9fd87ec, 0x52b5a82b, 0x7333a2a9, 0xcef09a39, 0x01bbe20e, 0x51c3c29b, 0xdccaa493,
+    0xfd46f7b1, 0x7ea5a15f, 0x5c38e5e7, 0x51e7e501, 0x7fdffba5, 0x612907ea, 0x0325eaeb, 0x76affc0e,
+    0x04498868, 0x935d73e0, 0x5622978f, 0xe142e6b4, 0xf7a8fbc5, 0xdaef512d, 0x0ff7aa34, 0xfe9bc4d1,
+    0xf1b9122e, 0x28e92e97, 0xa5755c14, 0x4c7285c3, 0xdca3a799, 0xeabf27b8, 0x24ffe0f3, 0x44230e68,
+    0x6e7a2980, 0xfd160ca3, 0x60da23b3, 0x87789fe5, 0x8fa501e3, 0x496c52cf, 0x724472f7, 0xea0efd1f,
+    0xf753d57f, 0xec48f085, 0xbebc893c, 0x5e48c79f, 0x385b7efc, 0xf83b72ba, 0x4bab0599, 0x423a4085,
+    0xbd0ceba3, 0xfc0d5c56, 0x1bd40661, 0x666e58f8, 0x9c2769a5, 0xd8f09a37, 0x4bbbc497, 0x6345f80e,
+    0x35e10875, 0x7e8e483f, 0xa5f9f832, 0xb890d236, 0x4c77817b, 0xfaf4e931, 0x7f0af361, 0xe1118976,
+    0xfc90b140, 0x64134889, 0x1867b5b2, 0x92e60d72, 0x3168e407, 0xc48d6ab5, 0x886d9a6f, 0xeba1cad7,
+    0x4a0b7b40, 0x96ce6823, 0xde5b2fd0, 0x2596f752, 0xc9291611, 0x44484c59, 0x0b8f0018, 0x1c0c2c6b,
+    0x7c72c57a, 0x65cb6a2e, 0xe8af23b0, 0xf435054c, 0x035d1c07, 0x5cbf1b81, 0xb0f77e41, 0x509cc966,
+    0x089cd7d0, 0x0fada2ca, 0xa75c0afe, 0x202459ed, 0x20364cdc, 0xeea49169, 0xb6c904e9, 0xd8685c42,
+    0xc39ea2d3, 0x490f5125, 0x4d017508, 0xd79189e6, 0xc6c86aa8, 0xddf9f914, 0x001c0290, 0xee321aae,
+    0x99220cb8, 0xbe152289, 0x8993dea5, 0x51e59762, 0x9871aeaa, 0xd6c6b15c, 0xef3de5c5, 0xc75d36c0,
+    0x3e4eb322, 0xbeba6010, 0x55f81c1c, 0xa7618b00, 0x475115a8, 0xc6972648, 0xdf9791d2, 0x509b2538,
+    0xe16811b4, 0xb3fc0727, 0xfb520d98, 0x68d4d0c9, 0x8db7d98a, 0xc25190bb, 0xebfe6e6a, 0xb0c84a94,
+    0x2ca3945b, 0xdf48afd6, 0xa014245d, 0xb3e682a3, 0x6b8f7373, 0x7f432c25, 0x38862cd6, 0xf1741dbb,
+    0xbecb31c5, 0xbc042ad1, 0xe18b45da, 0xe47a06ec, 0x1731b0c4, 0x857cea8f, 0xaf5dbd82, 0x9d24ecd8,
+    0x12b47619, 0x1d37117c, 0x2a33651b, 0x084bbe00, 0x54533680, 0x70f8edbf, 0xc3be9b77, 0x9194e504,
+    0x73bf08e8, 0xef620e69, 0xa739982c, 0xb46137fc, 0xca6433fa, 0x088ec990, 0x51ff7314, 0xa26538a0,
+    0x7a334a1b, 0x78c79648, 0xcd3f659e, 0xd49f7f89, 0xfb38a278, 0xb10e788f, 0x44736435, 0x31b8d9fb,
+    0x772da056, 0xf25c1d0b, 0xae2c9bcc, 0x282b1a6c, 0x1e3fcfea, 0x2934831e, 0x02e9d762, 0xf93b8fb2,
+    0xfd96d0af, 0x2bb0ac70, 0x3e0e1371, 0xdb69b1ec, 0x0159081f, 0x3ac8079f, 0x18f1faba, 0x5ff10c33,
+    0x1dec2129, 0x27483d17, 0x60fbd344, 0x16e3facb, 0x8debcff4, 0x67edce48, 0x44e30e51, 0xe481b8cd,
+    0x0f9f2dc3, 0xdd46e8fe, 0x1e8ed9a6, 0xccaf2f5f, 0x4fad9848, 0xc9fd0c05, 0xa35f4236, 0xf738ccaf,
+    0xdeda18c0, 0x8b6cd95d, 0xbeed1a71, 0x21dcceae, 0xd9d28875, 0x962ccdcb, 0x8f176615, 0xc59f9ed5,
+    0xbf1dd221, 0xbbcca7a2, 0x4db9e957, 0x35746714, 0xa69bdb00, 0x86d89080, 0x873731bf, 0x183bd1b8,
+    0x20235e76, 0x4fd1c813, 0x1878c604, 0x493f2fcb, 0x530707c6, 0xffc0978d, 0xb8fcc544, 0x9773b4d2,
+    0xc87a9790, 0x53e0e2e8, 0xf87a4e5a, 0xd04357bb, 0x8bb5d3d5, 0x79fce9ab, 0x81a7e276, 0x91197f63,
+    0x011dab0b, 0x725f36bf, 0xef14cbeb, 0x8b057f16, 0xc612a4ad, 0xd9b085e9, 0x68549f57, 0xe28c7ac0,
+    0x68ba8da0, 0x0e7a0dc8, 0xa8e2c7ae, 0x096d997f, 0x105ba766, 0x91f29014, 0xcbbd460d, 0x07bc5a92,
+    0x41acf456, 0xc0766ef5, 0xc21b7ef5, 0xf2ec7181, 0xa210c12f, 0x00426adb, 0x151611f7, 0xb3e12c52,
+    0x368c7348, 0x1c6d8751, 0x75da11a7, 0x4a6ea9d7, 0xfc12bb63, 0x8729d971, 0x078e4526, 0xcf6513ee,
+    0xdcabcbba, 0xdea1bd96, 0xe1898daf, 0x3e895fd4, 0x5a73d74b, 0x1a430f35, 0xc49a2291, 0x90fa80fd,
+    0x9ba7de01, 0xfec6a5ff, 0xd6d88c00, 0x2871af3f, 0x93644e56, 0xa42f8fdb, 0x6c3aeac8, 0x0fa3f299,
+    0x7ae484d8, 0x5fa4d141, 0xc1797b6d, 0x4f3c21eb, 0x1ce43745, 0x5646a426, 0xeb89842e, 0x71f22a8b,
+    0x9abd4e4b, 0xe2aa2f18, 0x631749de, 0x50ecab4f, 0xf898aa2c, 0x3ea15d13, 0xf9d3656e, 0x97a7acd6,
+    0x25069e39, 0xadd4b98f, 0xe559f41a, 0x44603071, 0xdfc79737, 0x43d91cc2, 0xa7299279, 0xbf8e03ba,
+    0x25a43b52, 0xf2088491, 0xb3f3ec4c, 0x7025c00d, 0x588e6809, 0x09d0213d, 0x93724af0, 0xda698dcf,
+    0xcae1a6fb, 0x1b9b66be, 0xc842507a, 0xb37a4a98, 0x892ab4c4, 0xe844adbd, 0xd572c123, 0xd878060f,
+    0xd2304f7e, 0x0bc372e4, 0x2f3d6ef4, 0xb99b8a79, 0xb76c430a, 0x6b51ce09, 0x3f048430, 0x468e7123,
+    0xc669ffef, 0x8e738be3, 0xf32b9147, 0x09178f56, 0xcab0abf8, 0xcbcd2f60, 0x2486e324, 0xb4299134,
+    0xfc0a6e45, 0x7fa0e4f2, 0x7a2d486d, 0x6011a0a1, 0xcd8b340e, 0x2ee97765, 0x47f8a7e5, 0xcecbda0b,
+    0x5dc10b2f, 0x8813562f, 0xd85574b6, 0xe26ece45, 0xa63a3440, 0xf30a0766, 0x0f429d82, 0xd8fe33a2,
+    0x6c0625f2, 0x3e22fbbb, 0xda21b5f3, 0x0c453eda, 0xa9e47188, 0xe0b3f794, 0x9ad3ee76, 0x3b88b898,
+    0x1e7980a1, 0x6fff91a4, 0xb5c0d66a, 0x23c2061c, 0x91792e24, 0x2a4d1194, 0x7ff96fff, 0xcd0b512e,
+    0x064ac18d, 0x0bb9d496, 0x54fbcfa7, 0xb2379813, 0xb23637ca, 0x68042b2e, 0x24f3c785, 0x4897e054,
+    0x7cebd24c, 0x7b286a56, 0x5a7c189b, 0x542540e4, 0xeb226464, 0xf2feac92, 0xd88194c6, 0x4a9f3db1,
+    0x42eebc8b, 0x25466a02, 0xa41386d4, 0x08aa4d60, 0x150c2267, 0xf3f7728f, 0xd3037877, 0x1aa31516,
+    0xa630c2c1, 0x20157cc6, 0xd4f6e162, 0xc3dfb5c3, 0x2b658419, 0x4dc06ba6, 0xaa0df49a, 0xbe96bb8d,
+    0x7bbf9aab, 0x17817979, 0x92ebea10, 0x2332d4de, 0x450378ef, 0x68a803e4, 0x624f3b24, 0x83da500c,
+    0xfb51a8e7, 0xed740495, 0x28312fe2, 0x1b1e7b55, 0x300e8a0a, 0x665aede8, 0xfccd34f8, 0x1f717e71,
+    0x415efc3a, 0x2b7d16e3, 0x086f8677, 0xb9821ef0, 0x4fc22bc9, 0xe6a6332e, 0xd9989964, 0xf4423725,
+    0x00000000,
+    0x33287ef3, 0x173c2ce8, 0x8db56404, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2,
+    0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000009946464728\
+                         19573284310764496293641680200912301594695434880927953786318994025066751066112 */
+  { 0x00000000,
+    0x2d9a28ef, 0x65204b65, 0xb32bc937, 0x65c7ae9d, 0xd536a4fd, 0xf7d9c1b0, 0x7882ba5c, 0x62b224de,
+    0x8364259b, 0x43919d00, 0x018f35c4, 0x79fb99f6, 0x3db0486a, 0x758fdd5b, 0x12905930, 0xb405e6a9,
+    0x75821d30, 0x55702e1f, 0xf95d77b9, 0x3ce6ced7, 0x22063021, 0xc08ee4c1, 0xaebe654b, 0xea2b1b95,
+    0x43bf1a47, 0x3b75ce34, 0x1044e024, 0x88fb9651, 0x6ba41a0e, 0x15ee28b9, 0xa7e91338, 0xbba40931,
+    0xe369a913, 0xa3c5a6c2, 0x6cf249f0, 0xee75dfc5, 0xae4bd25a, 0xcb58b148, 0x4af4e1f4, 0x73cc0b10,
+    0xa5afcce7, 0x4bfbffa7, 0x0ba984c3, 0x4ddff3c1, 0x02abc1bc, 0x0b69268b, 0xf452116b, 0x4d9b71dd,
+    0xde661951, 0x37c137ce, 0x1e1d8679, 0x34a8aaf7, 0xdb151ddc, 0xe953e19b, 0x95548afc, 0x31cfda11,
+    0xae55176d, 0xeba17491, 0x54e7a9b2, 0xad15907f, 0xfd4985a7, 0x75d07631, 0x6ea01336, 0x515670ca,
+    0x69a9a01a, 0x560a4a51, 0xc02d61ec, 0xc788cfe0, 0xc65914df, 0x2e194d0e, 0x696b867a, 0x5d947ba8,
+    0xf1874c85, 0x82e7a1ce, 0x07f5acc3, 0x007b61fc, 0x6c56751e, 0xb0c171cf, 0xbdf141a0, 0x07a83cd9,
+    0x403e092c, 0x197f32b7, 0xfb0eabab, 0x16a9727e, 0x1562b774, 0x33dbdcb8, 0xf0d0cdd1, 0x5ebd07c8,
+    0x11c81f14, 0xeded7678, 0x1b3f283d, 0xadfde502, 0xcf20d479, 0x39ff0756, 0x304f7cfc, 0x49b6b75c,
+    0x18292557, 0x9b80cf67, 0x1e74186d, 0x3a8bed27, 0xee1f7008, 0x58d5c699, 0x7c4eb64c, 0x858070f0,
+    0x2a7aa4f3, 0x20705e03, 0xcf8bccd5, 0x7f6fb914, 0x7cbc2f0d, 0x30da3e97, 0x9cf42105, 0x98bc49e4,
+    0xa5c36dff, 0xd1662aa2, 0x7fede1f7, 0x5d65a775, 0xe620d126, 0xc68c6223, 0x86c6ed6b, 0x684bb681,
+    0x4cfe344a, 0x02178caa, 0xc3212415, 0x20f91dd8, 0xedb38b3b, 0xa13b036a, 0x01f98079, 0x6ac939ac,
+    0x166baa42, 0xb0eb8bbe, 0x90a58ab8, 0x5abbf9cb, 0x6b584287, 0xedf5de86, 0x2acf6658, 0x100cfc6d,
+    0x55253ac8, 0x228ed4f7, 0x28a85860, 0xa7fd1db6, 0x62549bf8, 0xfe286492, 0xca682bbb, 0xe6a45094,
+    0xd87cb05f, 0x0eb264de, 0xd271bfb4, 0x89fcf4e8, 0x04f3ca31, 0x9b70fdf8, 0x85738f03, 0x642ee893,
+    0x12247d34, 0x71cc9353, 0x817d9b23, 0x36f6a059, 0xea4dee54, 0x68ce8358, 0x4ea42af0, 0x6fe7bc9d,
+    0xa22ac24e, 0x2f8b13e7, 0x66bbf042, 0xa3d026a6, 0x95339e2e, 0x571fd093, 0x2eed99e0, 0x69fdda76,
+    0x98ba6b72, 0x994b7492, 0x093c081b, 0xf4c38503, 0x93394737, 0x2e440c38, 0x25f3b225, 0x3c87741a,
+    0x25852cb5, 0xbf3f1335, 0xe210cfb8, 0x796302a5, 0xa5f29734, 0x45a81a8e, 0xe45e6bfe, 0x3145ecf2,
+    0x3b2f2383, 0xc82f7161, 0x5d85566b, 0x58acdba8, 0xb2780c6b, 0xf24c1681, 0x9af8cd7a, 0xd79d4fff,
+    0x51b21c59, 0x44ac9eb4, 0x6f463311, 0x31c96ab6, 0x5c6bbdba, 0x80838b7c, 0x2de1ca88, 0xa667a0b3,
+    0x48b07731, 0xb56a59fc, 0x317e5093, 0x872a758e, 0x0b86a454, 0x606958c9, 0x217bc61d, 0x798c7941,
+    0x468ec9e5, 0x36fb1235, 0xabb9c889, 0x5f710d24, 0xb15e9015, 0xb8ffe837, 0x7d3a9c32, 0x060026b0,
+    0x1be4e793, 0xb21269d0, 0x1afc47f4, 0x6795aaa4, 0x12232988, 0xf94118a4, 0xde342a33, 0x0714c5c7,
+    0x3f3f30b5, 0xded1d43d, 0xa06a7b21, 0x39af3666, 0x06667dd6, 0x0f89966b, 0xfea23086, 0xff4bf664,
+    0xe06fd394, 0x21e5098d, 0x24c7adea, 0xa664cda7, 0xa88b1416, 0x983a1e82, 0x5aeb747b, 0x1fcf16de,
+    0x2e878d90, 0xb8c35ab9, 0xc1ede639, 0xce096faf, 0x3387e5b5, 0xe22fca4a, 0xf8c84d02, 0xa963d617,
+    0xea3eb203, 0x9d456f27, 0xa9f1dc40, 0x3e4cbe6c, 0xf8964351, 0x329d4403, 0xd8c34c18, 0x32324e56,
+    0x16bdd3f1, 0xd1175e0c, 0x4293916d, 0x81c343d0, 0xe05775d9, 0xab4a9ee7, 0x1d6f9bbe, 0x6a2e468d,
+    0x14a7d0b5, 0xcfa19730, 0xfdbf5a7a, 0xe0e73a61, 0xf4fd9049, 0xf16c0fb9, 0x1e96ab37, 0x86ac7456,
+    0x8eb184ed, 0xcdc80037, 0xa35c3d8d, 0x16907161, 0x28174815, 0xadedecbf, 0x74492a7a, 0x3888863c,
+    0x0eed48b5, 0x9a6f0aa0, 0x6bf58a07, 0x3c8aea90, 0x0c96955f, 0xb940e431, 0xac0b5484, 0x3374b102,
+    0x91013814, 0x2bb9bfd8, 0xccd675f4, 0x93627615, 0x80efe121, 0xf4dc4812, 0x5aa33d30, 0x250d9668,
+    0xdb41b1d6, 0x1bbde3ab, 0x057bdbb6, 0xf4501f00, 0x0e459020, 0xaa43beab, 0xeea28da0, 0x37204a34,
+    0xf568bb4c, 0xd99addee, 0x02c3faeb, 0xca63dbf6, 0x2b96b8af, 0x1fbe2021, 0x63de0f63, 0xe01a7210,
+    0x83793706, 0x5280e601, 0xf3297b7f, 0x7a80d9aa, 0x63a07b3e, 0xaba8e435, 0xbf846364, 0x5ed81c6a,
+    0x435c914f, 0xd9087010, 0x73b42f17, 0x3a718f57, 0xc9166cb5, 0x8b98dcde, 0xd0a1a64e, 0x50f7d897,
+    0x93e7ceae, 0xc2f43674, 0xb72cf4b9, 0x7f090cea, 0x3903c162, 0xc03152e4, 0xfcd81918, 0xafb4fd02,
+    0x4ba65ee3, 0xe5950b9f, 0x6c3ab8c3, 0xb3ec1122, 0x486f1f1b, 0x793da1fe, 0xf0c72360, 0xe8d8f66b,
+    0x6f7ad7f2, 0xd65a49d5, 0xc528a10f, 0x7a91dc0a, 0x55422d00, 0xd30fa8f5, 0x962a2056, 0x8bcd794d,
+    0x8c87c018, 0x053ccfc2, 0x661dee42, 0x4fa8f934, 0x361f8f4e, 0xbb2f27c7, 0x53b5b1f7, 0x9152b8e2,
+    0x01e4d4dc, 0xf5411e61, 0xdd558e2c, 0x2a34f690, 0xe016bd5b, 0xac9b00e1, 0x4cfc9052, 0x19ed02f8,
+    0x89926b59, 0x2b5e32e5, 0x3eca3c04, 0xd4080eeb, 0x7d997689, 0x5d33f086, 0x37b02f58, 0xf55321b6,
+    0x0c8d372f, 0xea615f25, 0x793e20f8, 0x0e1d64c4, 0x4bbc0d95, 0x1c249507, 0x537d8911, 0x57e14a32,
+    0xcf7537c5, 0xb489af9b, 0x114e4d25, 0x35c76ce3, 0x4498d14e, 0x415d2e82, 0x79655b8a, 0xb2c7ef2e,
+    0xa7ccf55a, 0x249fc2e0, 0xee4908f3, 0xf4f010c2, 0xa10d83c4, 0x9b396d47, 0xfb8dfe32, 0x9d1e7999,
+    0xd447eb96, 0x93910e2c, 0xaa93a56d, 0xd992daf4, 0x489a11e8, 0x8483fb80, 0x340af370, 0x6ebceb02,
+    0xf5e323fc, 0x4ccd146e, 0xf55830d9, 0xe27453fe, 0xc333481d, 0x625b2688, 0x8da701cc, 0x7585c497,
+    0x1dbbfa20, 0x49b75c73, 0xfa3d2ac0, 0x77dd5ca3, 0x884de1cb, 0x70612d18, 0x183fe9b6, 0x9acfc1cd,
+    0x35907918, 0xd42bf29a, 0x227cec6e, 0xbc48be7c, 0xa617c029, 0xfcbff63c, 0x3a1cac78, 0xaea63927,
+    0xb27ebae1, 0x6546af59, 0x52e368c4, 0x16739376, 0xeab45771, 0x23812d13, 0xe00fb30b, 0xdb39db21,
+    0x21be3483, 0x15fda3ac, 0xf6f21e85, 0xcb647865, 0xc478f91f, 0xe35af43d, 0x3be13459, 0xc2737094,
+    0x0c7034a4, 0x523eb4c0, 0x39d5e79c, 0x335c976d, 0x50d9abb7, 0xc0406874, 0xe2a06ef3, 0x1893fdbc,
+    0xb4307ec1, 0xa7d89096, 0x9217a1e4, 0x468145d3, 0xa4e02c66, 0xafb687a5, 0xd8bc35e7, 0xc74e4573,
+    0x9533b529, 0x1a28a8b0, 0x395e3394, 0x0db91d5a, 0x642a7016, 0xf4c4fc07, 0x1d27a5a0, 0x9245a2ca,
+    0x0f9b814e, 0xabfd193c, 0xdce3d50d, 0xfec8d1f5, 0x72bc8361, 0x6cc3eb47, 0xe6ee55c5, 0xa054cd6e,
+    0x362e1def, 0x44676317, 0x75d881d5, 0x6d3c679a, 0x7a397ea7, 0x19711cbf, 0x7fd315e4, 0xfc6134e5,
+    0xbec2d865, 0xef4e3774, 0xec036a43, 0xbd78a113, 0x46c53b18, 0xbec2a61a, 0x9ea8e934, 0x0bda631e,
+    0xb1f517ab, 0x926eb6e8, 0xa1046449, 0xc2ec423d, 0xc219d6c8, 0x8382077e, 0xa29b8830, 0x8140d730,
+    0x49f7a9e5, 0x0ad8f0d3, 0x056b2903, 0x2d68dbe6, 0x8a8da2e5, 0xfa843dc9, 0xa531a6b8, 0xd0e2e8b6,
+    0x19d116b0, 0x4b93ac9c, 0x43c9679b, 0xa41c0055, 0x008038cf, 0x5d572524, 0x04f7a291, 0x129ad3b9,
+    0x989345de, 0xaf98f129, 0xb36ee8e7, 0x700664bf, 0x34c7f676, 0xc64a2987, 0x709fa10b, 0x9d5b54e7,
+    0xe2e98b0a, 0x97c6d699, 0xe77148f3, 0x8fdf747d, 0x9b22acb0, 0xf386373a, 0xffa4bd6b, 0x782486c8,
+    0xe70931fd, 0x5eb91fb7, 0xbe508488, 0xe82b9eb0, 0xd5fee4ea, 0x3ecbe2f0, 0x303c8b5d, 0xf1364c08,
+    0x199d32a5, 0x4ba88143, 0xd4c12cab, 0x50f5c69b, 0x70874f15, 0x3f989acd, 0x8a70d1ff, 0x0a8af0c7,
+    0xdbddddc5, 0x6ddb8953, 0x58a540a9, 0x25b364cb, 0xd55c49b6, 0x4477f12e, 0x681a700d, 0x9746d2ab,
+    0x7c94e0e9, 0x877c8834, 0xa5efa7a3, 0x712c29cc, 0x08ef1efd, 0x073288a8, 0x9a233ed1, 0x2a8efb91,
+    0x87f17c94, 0x29ab8ed1, 0xfe4b55c7, 0xd66ec9ec, 0xdc885b4f, 0xba8c44a8, 0x6a4b034d, 0xc323901b,
+    0x909ad0b5, 0x55abca2c, 0x51bd3b51, 0xb06af53f, 0x916e1f67, 0x784144cb, 0x0abb0628, 0x091a7903,
+    0x1167a340, 0x71917557, 0x4ea7c121, 0x664a646e, 0xd591bb00, 0x7307839e, 0x5d437ff7, 0xc6e2029f,
+    0xd873ad07, 0x6ccdf353, 0xe86743ff, 0x48e7b464, 0x1478c96d, 0x819a6942, 0xd4b12420, 0x34bd2e40,
+    0xe8bb9c0a, 0x8161ea95, 0xc4f3368a, 0x400598ac, 0x709d3db7, 0xb04112be, 0x8ad7045b, 0x6a5b19f4,
+    0x7f02c098, 0x6f519bd0, 0x63a6e54f, 0x02d5b121, 0x816e7165, 0x925c154d, 0x5d311cfb, 0x6922a6e3,
+    0x0f05fc8a, 0x5ba27b28, 0x75c1ed6d, 0x9733051c, 0x774463fc, 0x09dc4199, 0x783e3420, 0x639ef3dc,
+    0x1da721c0, 0xa4f42c08, 0xe4fa139c, 0x30c165c7, 0xc2afcdbe, 0xc63be766, 0xe103db35, 0x0132f6b5,
+    0xe6d72f9f, 0x7fb41c1c, 0xd91af0be, 0xd9e8e4f6, 0xb2801265, 0x6369ee25, 0x8e9814e9, 0xd660e4a7,
+    0x3a29e790, 0x5852884e, 0x77842946, 0xf6fbf90a, 0x2b4017ce, 0x746b5208, 0x0d850461, 0xff530a2f,
+    0x886eec9d, 0xd800a4dd, 0x8a24f7e2, 0xddcc757b, 0xe92d2a6b, 0x6204e9fc, 0x41ae814f, 0x0f5cc1c5,
+    0x20591e90, 0xda370694, 0xdf99b9d5, 0x80534dec, 0x024e7e23, 0x4834b746, 0xcf8bcc15, 0x2290cbf4,
+    0x8265d5bc, 0xb6e6d544, 0x13ebe0af, 0x0a8e0c1f, 0xabc9ec88, 0x3629410e, 0xddd6e352, 0xe6be18d1,
+    0x498d9af0, 0x86f3b670, 0xd02ef566, 0x277a1f8c, 0x22b28b5b, 0x47f408a8, 0x7812fb68, 0xf0b184eb,
+    0xc9a44aa2, 0x8d2b1171, 0xdc57aa12, 0xb64753c2, 0x519aa725, 0xebb53d2e, 0xc9231d16, 0x09657422,
+    0x8c20a506, 0xf807ab59, 0xbfc14bdb, 0x825720a6, 0x1ef42e4c, 0xeb23e2ee, 0xd97f538f, 0xa7323e5a,
+    0x3a974886, 0x97209e2f, 0x30385784, 0x7c2160dc, 0xc1d49f67, 0xf45c9e65, 0xcf419471, 0xaa0083ba,
+    0xc6398cf9, 0xef7b0f51, 0xa915c59f, 0x52a280bd, 0xc37a9e6e, 0x0d9e8747, 0x4aead1ac, 0x4d7b96a4,
+    0x94d6c5ca, 0xf8d0a1f6, 0x22ecedf1, 0xcbd40e28, 0x7f42a319, 0x05c77ad2, 0x83494676, 0x023c137e,
+    0x25afef6c, 0x706acb25, 0x58521ecb, 0xd7a9bec0, 0x40cb5c70, 0x7de5ae08, 0xee4f11a8, 0xb172d893,
+    0x1aa3e0c3, 0x5c014258, 0x9b8df1dc, 0x328a8c0a, 0x61aa0636, 0xc9f7513a, 0x90104a0c, 0xfd385da4,
+    0x24505887, 0xbec745d5, 0x65bc4bed, 0x0df3f756, 0xdc79a7a8, 0xb02948e3, 0xc7375140, 0x8a862eff,
+    0x6b540155, 0xe555edaa, 0xda95ebbb, 0x5d1086fc, 0xd44811f3, 0xf0c02bab, 0xc09684d6, 0x0e8343f8,
+    0x57959855, 0x93d628f4, 0x959697fb, 0x3d2253fd, 0x6a181836, 0xa8881a72, 0xb006ac0e, 0x7e9822b7,
+    0x30d59b25, 0xe924bb6a, 0xb2f8ea72, 0x5a6d872e, 0xdb385011, 0xc7469444, 0xb3a4a1c3, 0x59dac476,
+    0x2d5f6cd2, 0x816b26fb, 0xd42d0e3b, 0x1aab8929, 0xf80c520e, 0x297a8474, 0xf4644b04, 0xf202670b,
+    0x3a58805a, 0xaa360614, 0x18d2e0e8, 0xb41a9d35, 0x8f7b8b7f, 0x6c15a496, 0xaba7ce73, 0xca33422d,
+    0xc8a9a9ee, 0x6734136f, 0x4ebf863b, 0x47a36779, 0x29cfb798, 0x1ce0cce5, 0xee2914b0, 0x8301d2d7,
+    0x669e0be4, 0xff91d1e5, 0xea001b48, 0x9057a415, 0x9b3de946, 0x863a606d, 0xcc46e380, 0x66b227e6,
+    0xee81f2dc, 0x5d437a69, 0x3ec2a95d, 0x830bc641, 0xdc619ba8, 0xaad3bd4b, 0x5f2be8f4, 0xa6b2ac5f,
+    0x9dd1da2c, 0x4ad7d6c0, 0x9971583d, 0x43d0ab74, 0x49c04b3a, 0xd9d13e02, 0x49eb44d2, 0xc02f687f,
+    0x4c38e278, 0x770a171b, 0xc8b1d418, 0x179fc415, 0xdeb05f36, 0x32be432b, 0x1cdfb2ff, 0xf271068a,
+    0x41551f3e, 0x15130b6f, 0x123330c7, 0xeb664267, 0x92b73ac2, 0xd26d4058, 0x44c71981, 0x7b78a510,
+    0x34368c6d, 0x902c3a13, 0x911474d9, 0x4416f2f2, 0x09c0016d, 0x9f8e0c7f, 0x7058cebb, 0x635be57a,
+    0x3cfb6639, 0x0a3c7add, 0xe69b002f, 0x81f05970, 0x7e988041, 0x65c02647, 0x9266cb8e, 0x3f63ac12,
+    0x1b2abef4, 0x8bfcbce8, 0x322047e2, 0x1c854ff9, 0x36622ea8, 0x425b05b3, 0x90035e2a, 0xbca4fbf8,
+    0x83a8270d, 0x9954332c, 0x46a97b6d, 0x8f447534, 0x3d600746, 0xe241712b, 0x7c4bbbfd, 0x7e75d053,
+    0x780aa64a, 0x8a314ac7, 0x2ee68a59, 0x613e76fb, 0xbdbb19bb, 0x91b44e3e, 0xd90d2ff4, 0xeb0d2383,
+    0x9b0ea054, 0x720b9be4, 0xd088a2cc, 0x527a36b0, 0xeccc2693, 0xdb822c46, 0xabed7f4c, 0x7c69f239,
+    0xa75747dd, 0xfb722da5, 0xcb3ad3b3, 0xfe5f58a4, 0x91dc67b9, 0x167fed62, 0xedd54699, 0xf2ca7c95,
+    0xeb606af4, 0xa8d3c399, 0x553c0a88, 0xce3dea4d, 0x99250f11, 0x43b4a9ce, 0xe6d6b180, 0xc20cd34c,
+    0x8b2b3e12, 0xa4e7ca92, 0xa46b424c, 0x00d0b0fa, 0x060aa679, 0x8b988e1c, 0x62a43f47, 0x1f427ded,
+    0xe740c770, 0xc2497c70, 0x04fad975, 0x171f724c, 0xfbe42d03, 0x8cf578fb, 0x6332d86e, 0x5abf7e27,
+    0xec0e3bd9, 0x8cb34ade, 0xc64e77df, 0x00d30ceb, 0x9d3c3947, 0xaef12685, 0xace994ae, 0x04719e92,
+    0x644d90b3, 0x6814b999, 0xad6b98d8, 0x08faaf37, 0xe5744578, 0x98c44f66, 0xeb3e64b3, 0xdd48a97c,
+    0x5aef4b54, 0x413182d6, 0xe485a68c, 0xfeb9ab20, 0xbb57c31f, 0xf108cd32, 0x238248f9, 0xcde51619,
+    0xc687ec24, 0xf110c509, 0x4d688043, 0x9c0a2c6d, 0x48de30a2, 0x20a96426, 0x39a4a77a, 0xab77352d,
+    0x8e8a8d0d, 0xd708c783, 0x0fdfb804, 0x03a10908, 0x73221521, 0xb321eadd, 0x559af006, 0x48ae6b04,
+    0x7fcfe37a, 0x9f3fd9ac, 0x0698f264, 0xe1ad108b, 0xc2ab37ac, 0x25847b90, 0x18d57bf6, 0x502b9177,
+    0x41d05b74, 0xcd3a0de1, 0x622a081f, 0xa2eda28c, 0x7f2b07e3, 0xd5ecd4aa, 0x82a4d27e, 0x22497dfd,
+    0xefed552a, 0x46ad2dbd, 0xd22c839d, 0x8c32dbdd, 0x20fb0743, 0x178a59c0, 0x613a1a13, 0xf8113fea,
+    0x76941efb, 0x2d8b26ea, 0x037ebce6, 0xd57e92ef, 0x36a6d264, 0x20758b75, 0x75ad6ed7, 0x34ee7780,
+    0x72f19e32, 0xee49b8e8, 0xd48fc2c6, 0xa4f0397a, 0x548ba9d3, 0x56d237f5, 0x6dcb5358, 0x82e34c5d,
+    0x47e1b4a6, 0xe214225c, 0xa71f9fe1, 0x59f5ad28, 0x0edbfcce, 0x726829f1, 0x9e0b84ad, 0xe43b4b9c,
+    0xd6c0ada6, 0xc8c307c1, 0xcb9eaaf4, 0x344de978, 0xfe5d9bed, 0x52ebe92c, 0x54f7e38e, 0xb0d1c596,
+    0x00000000,
+    0x19943f79, 0x0b9e1674, 0x46dab202, 0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9,
+    0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000004973232364\
+                         09786642155382248146820840100456150797347717440463976893159497012533375533056 */
+  { 0x00000000,
+    0x65241e82, 0xf08fe92f, 0xd6bb69e7, 0xc4892705, 0xf00fdf5e, 0xd1af26ec, 0xc7c1cc2f, 0x951067a4,
+    0x06d19505, 0x3e49657c, 0x242dbb66, 0x91ee71e5, 0xbbfadeee, 0x2514575d, 0xfa1d1cf0, 0x6213522d,
+    0x6ad2f7e7, 0xf3cd1c3f, 0xa7b31b27, 0xfdfa4952, 0xae6c7724, 0x4d56f78e, 0x9644d9de, 0x80afca29,
+    0xefce7606, 0xd7494311, 0x2a0b00c9, 0xdf2b7000, 0x7c454029, 0x832b67e9, 0x272d1892, 0x6fbc3ee1,
+    0xaa8034be, 0x1859beff, 0xea8464a0, 0xe66b6167, 0x62229f7a, 0xbf3a95dd, 0x1ecad365, 0xdf8a9b1b,
+    0x9313db20, 0xd2a29877, 0xb1eba05d, 0xc2517e62, 0x3e834821, 0xad479677, 0x30743366, 0x504b9ebf,
+    0xf8bd8bba, 0x969188fe, 0x5d031c80, 0xc7fddc9a, 0x7ef82711, 0x82d2ee87, 0x9acd2b2d, 0x099289ae,
+    0xe02f9560, 0x40d77055, 0xf1eb24df, 0xec3661c1, 0xbb76f131, 0x978c384a, 0x3f06b6ce, 0xe3094e8d,
+    0xef43aa8d, 0xe8d3bcdb, 0x1385d7b5, 0x287e1498, 0xb9359183, 0xc3eabe08, 0x68bbef6c, 0xacf6d24e,
+    0x0498456f, 0x0dfbe1de, 0xac827420, 0xfa5e802b, 0xd9aaff68, 0x73b151ef, 0x8f096187, 0xb8b35afd,
+    0x09866fec, 0xd48ad7d0, 0xfb430ace, 0x6ecd99bc, 0xcca33d7d, 0xa7591ac1, 0x9256253d, 0x79f3ebea,
+    0x4edfe54e, 0x77f33416, 0xb0f3be9f, 0x5df32f73, 0x7bc132bb, 0x2d3b0267, 0x9f2c9ca5, 0x500d7ba9,
+    0xab4f6821, 0x5c4a6284, 0xcd3953ea, 0x420e6a8f, 0xeea3679e, 0xd5f4035b, 0x12b65b46, 0xb7e06dd4,
+    0xb379edda, 0x9605a1c2, 0x0ba483be, 0xcd6aa513, 0x724cd514, 0xc7493f6b, 0xc36494d3, 0xa5b69376,
+    0xdf5d790e, 0x7f9a223a, 0xefe382b2, 0xd1d2427f, 0x8facdef6, 0xdc75613f, 0x0be5f2ef, 0x9c3e1928,
+    0x8f79ba37, 0xb93c203e, 0x6b356757, 0x727639c0, 0x25f653bb, 0x7961e4f5, 0x82973bf4, 0xe87a2b1e,
+    0x9f1b33d8, 0x97abf655, 0x6d4f441c, 0x63200a97, 0x8d301eb2, 0x889552cb, 0xab906405, 0x96a454d1,
+    0x70bbd5ff, 0xc23a5845, 0x3f772468, 0xfe0a0010, 0x4fcd21d9, 0x432d854c, 0x4dc4f7d1, 0x3aceafb4,
+    0x8f06e27c, 0x83c2fddc, 0x20f26277, 0xa52d4d46, 0x07efb585, 0x64320b73, 0xf35257b8, 0x91e2d77e,
+    0x8a9f72bf, 0x2c8788de, 0x85227d4e, 0x87d48c93, 0xa58fc859, 0x8cf4308e, 0x66d89b51, 0x99494bdc,
+    0x79481d86, 0x48be8432, 0x0bf7fd10, 0x6a99fdd1, 0x5ef072d4, 0x388c3dbc, 0x9597d8ac, 0xf4da6716,
+    0x684a71d3, 0xbd6ad0df, 0x6722cdf8, 0xa33e42b5, 0xfaa9dde8, 0x6470616b, 0xe6b4ff61, 0x77b97746,
+    0x5b3fc8d1, 0xe2fac458, 0x650bb602, 0xe8c610ff, 0x39549b5b, 0x587fc9ef, 0x43a8f70f, 0xcf37a46b,
+    0x931cf7ab, 0x5f6095b0, 0xbfaa4726, 0x9124f09b, 0x40c0e1fc, 0x9cf025dc, 0x0708486c, 0xa147e671,
+    0xb59cb0b8, 0x185b6b2a, 0x87aad9e5, 0x33382834, 0x39630917, 0x04a3812d, 0x8265fbdb, 0x6266db0b,
+    0x2fa6594e, 0x03dffcb8, 0x485a09af, 0x9571bc0b, 0x3f4eaf4e, 0x04ef01d7, 0x18c945fe, 0xcb1ee4d3,
+    0x500ac283, 0x996b6d2f, 0x9fedad9f, 0x967cbb65, 0xe98ccfe1, 0xe1405336, 0xdab833b2, 0x5408e357,
+    0x9e1aba44, 0xa81c339a, 0xadb9d026, 0x4c77fef3, 0x7ce221d1, 0xbc5df6c2, 0x25914e7b, 0x5a35cec7,
+    0x0a7824da, 0xfc64e7c6, 0x7cdddf4f, 0x39ef6b8c, 0xe3468c4d, 0xf2c36c8d, 0xe42bb759, 0x6b5fcb0e,
+    0x2f45aa66, 0x96aa0753, 0xa2a965c8, 0x31bacb4e, 0x44f741e5, 0xc0d7aca8, 0xb3af02a4, 0x45eb16ec,
+    0x28e5ae01, 0x547439e7, 0x566e0052, 0x79e1f3b5, 0xefc15b12, 0xb5eb7deb, 0x77d01989, 0x77c27d03,
+    0x87b5a8b7, 0xe8e37c94, 0x08e363e0, 0x7ce9612d, 0xa75e8215, 0x1b0a62b6, 0x29c3e969, 0xd9dceb7e,
+    0x2aadd17b, 0x1a559a24, 0x55ed43a5, 0x36ea316c, 0xee9936e8, 0x58ff8f22, 0x411eb53c, 0x69bf7dc4,
+    0xf8a535b1, 0xc095e762, 0x1a529d2a, 0x8d3780bc, 0x16bd541c, 0x474f554f, 0x4536b9d1, 0x25d2420d,
+    0x2fcc4188, 0x3a3f650a, 0xe58cb868, 0x3f9bc943, 0x83fd8417, 0xf3118a24, 0x302a4d1a, 0x0868bae9,
+    0x558a2312, 0x8177afc5, 0x01b98053, 0x3883abe0, 0x39aa269f, 0x73023fb5, 0x3a80b103, 0x92dc0a63,
+    0x3bb3e9c6, 0xf4aaad63, 0x67f8bac5, 0x36f1542f, 0x855836bd, 0xb539ccdc, 0xd9171d6a, 0x4c0d998f,
+    0x2a79881f, 0x9a3fd2b6, 0x5dca8e68, 0xbaec2a56, 0x6ea683fb, 0x956d96b8, 0x7fe87b49, 0xa87ae7b8,
+    0x4e2841e8, 0xea2ac806, 0x07896f33, 0x7915b93d, 0x9e5bdae8, 0x39c0e36b, 0x219016dc, 0x1b60b378,
+    0xe9f0dac2, 0xc7bc0b93, 0xa11694a3, 0xe11b3e5d, 0x5e933418, 0xdd355938, 0x805a245e, 0xdf1f1839,
+    0xc96cea6a, 0x748b1844, 0x51d07522, 0x6cffeb1a, 0xa7a06473, 0x923a67c8, 0x0dbf25d5, 0xa172d621,
+    0x1c39544a, 0xae5ce39b, 0x76f16bae, 0xd394a71e, 0xa5802fd1, 0x7981e788, 0x08c1eab5, 0xa4136d08,
+    0x65bb5b56, 0x010bad6b, 0xff9c4bb7, 0x50a98564, 0xecd0571f, 0xc8d3c75e, 0x154997fe, 0xc84d668b,
+    0xe9812f27, 0x079e3532, 0x36867996, 0xa6e94178, 0xf69c7835, 0x6b4a033f, 0x36bd0c01, 0xc8655a17,
+    0x9f58c6a6, 0x6a27e627, 0x881974c3, 0xf7c413f8, 0xb9bd3973, 0xbc1c1a14, 0x1c3a0460, 0x38331d13,
+    0x7180a680, 0xf4f51b17, 0xca574ec8, 0x60928ed7, 0xfe641228, 0x4fc14a16, 0x231e5249, 0x1ba33850,
+    0x5db2c7ba, 0x0ef2d0a0, 0xa9ad7b14, 0xe94b2c2b, 0x558ff87b, 0xd9df8c6e, 0x66d42a17, 0x64a39070,
+    0xb841d191, 0x5ad5f8cb, 0xbd7b2811, 0x684e8f9e, 0x97204b2d, 0x40855088, 0x6e25547f, 0x9237984c,
+    0x15e69f98, 0x5b3f5cae, 0xbcef3cdd, 0xa1c6a1d5, 0xbb9f8fe0, 0xc2f19bd4, 0xd6e985e8, 0x975e809f,
+    0xdac444e5, 0x7d63f69c, 0x47aca64b, 0xdde22ee7, 0x4c86d097, 0x9a248077, 0xd20cbcba, 0x6c25bc6a,
+    0x8db13216, 0xc31ba00f, 0x61a00991, 0x1d8f998d, 0xbe455ab9, 0x38e1ca44, 0x9c4233e0, 0x03d266e6,
+    0x2ca1f4e5, 0x865c446c, 0xcb4bf9bd, 0xfe89d3f8, 0xe73d9672, 0x74eabef6, 0xc2fe7de6, 0xb29da64b,
+    0x7bded8d2, 0x75268bfb, 0x4cb29e62, 0x9740a657, 0x09967e59, 0x3d85ae8a, 0x3e24bebe, 0x647b29d5,
+    0xfbd45e12, 0x2320ede1, 0x6587f6d6, 0x810141c4, 0xe7d2115c, 0xa683cc27, 0x7ad765d9, 0x9b94791d,
+    0x9786c797, 0x19a796bd, 0x48e62245, 0x0b3b0798, 0xa7d1b26c, 0xf4e69376, 0xc1864a21, 0xb12f08fd,
+    0x83ca6d98, 0xe1f3b39a, 0xfa126c85, 0x562df7a8, 0xf1bad99c, 0x5f084a1e, 0x5a7273d6, 0xd5131d2b,
+    0x967e56e9, 0x207e93c2, 0xe01e0681, 0xfed67f33, 0x2a03574c, 0xb44ba6a9, 0x907e1666, 0x5a29a745,
+    0x464fe940, 0x915450b2, 0xa4660ef6, 0x08e9c900, 0x9314e816, 0xfff19051, 0xf1893b9a, 0x3456a8ea,
+    0x169c585d, 0x62bb5e3b, 0xc12e91dc, 0xcbf964e8, 0xf0a205c2, 0xe04db5ad, 0x4eca47f2, 0x6521a853,
+    0x39ffe5ca, 0x34280f5c, 0x94d4e767, 0x816d4201, 0x36c9020c, 0x5008ab6e, 0x5246cf61, 0xa1ac8a4d,
+    0xc7c6f87a, 0x0f2ee243, 0xc23dbfc0, 0x6e2fb68b, 0x62cefa6d, 0x08e496f9, 0x3c761b91, 0xfdb7a7de,
+    0x0a21501e, 0x7edccf1d, 0xcb82cb78, 0x013ade1e, 0x8f1aa19f, 0x115a5b88, 0x710613ed, 0xef41859d,
+    0xfb1d7d3f, 0xcca48a1a, 0x8cace1bc, 0x4fb94326, 0x0edffc69, 0x28ab93a8, 0x1826912f, 0x0ef59ce5,
+    0xcb02b068, 0x2423cff0, 0x2144449b, 0xdc7b1e58, 0x5944e992, 0x8245fd65, 0x18df3bd9, 0xe1b15d13,
+    0x5406e013, 0x5d980283, 0xfd1ef6a7, 0x1e7fe1b0, 0xd2113611, 0x0db7552c, 0x8d3602a6, 0x72d6f259,
+    0xd38d38b5, 0x0e0c164c, 0x553ecf4e, 0x085b6590, 0xb300cbea, 0x29cba489, 0x1c001d74, 0xb19bf32c,
+    0x440dd426, 0xacd38174, 0x0ec76d3c, 0x08701970, 0x723764a6, 0x047522fd, 0xaf82a021, 0x2f511e55,
+    0x3e68decb, 0xa66f7fcd, 0xee4cf15e, 0xcb413113, 0x518f73f7, 0xb03a5c76, 0x3db19584, 0x5ea4435e,
+    0x15fe65c7, 0x5f887ebf, 0xa5e94e72, 0xd6ff760d, 0xb8b0ff15, 0xe33d3642, 0x72c1d653, 0x7e3ac465,
+    0x17dbcd9c, 0x90756d30, 0xdd2b8145, 0xd86fa7b1, 0x67c02ceb, 0xe2a0d7e8, 0x40329bb4, 0xb15ee007,
+    0x6ee98bf2, 0x00898fd8, 0xbc336e0b, 0xf956a44f, 0xef431d3d, 0x7a2be09b, 0x6f93e0c0, 0xaa6bbc82,
+    0x2a823c01, 0x8aac8c26, 0x46db1612, 0xcc13a038, 0x9e8be83a, 0x646a96a7, 0x3b1e0e54, 0xd38aef92,
+    0x8a066f3e, 0x952bb7b6, 0xc88a6eed, 0xa5445079, 0x4d1f1406, 0xfc19b031, 0xdbe01901, 0xdb7141d9,
+    0x3f383fbe, 0x25a724b5, 0xbe8c096d, 0xed096cba, 0x5d93c48b, 0x8dfd4e48, 0x9bd9c9df, 0xea41eb55,
+    0x802dfb0a, 0xac8ad203, 0x13559c31, 0xee6c43a3, 0x4bb9bfc3, 0x52426018, 0x60e08f1e, 0x23749574,
+    0x6c2d4144, 0x770ecd0e, 0x801e677c, 0x3df9a262, 0x9d9880f0, 0x086b5de3, 0xa76f1ccd, 0x96a0aa63,
+    0x62787acf, 0xaedb27fc, 0x1fefdd3c, 0x861a19df, 0xa0ccf20e, 0xe9d91a7d, 0x845d3296, 0x26385846,
+    0xf96abe1f, 0x22fda8ee, 0x854fae27, 0xa4218691, 0x63996523, 0x8e356bbb, 0x454d4565, 0x04016de7,
+    0xbf262e6b, 0x9381bc41, 0xce92931f, 0x5c35bd61, 0x8271a3ff, 0x74f5c305, 0x10d54108, 0x16849106,
+    0x8132a569, 0xce57381d, 0xa7e4dafb, 0x07e925a2, 0x07c64733, 0x7fd2d828, 0x4aad9499, 0xcb774e34,
+    0xbbf37a30, 0x0317a686, 0x9230b669, 0x15507582, 0x0f20f2c3, 0xa2ceae66, 0xb35d7eb9, 0xb8cb20da,
+    0x2fa1fd3f, 0xd9b2c8f6, 0x85dee641, 0xf47dffd0, 0x36452e3c, 0x479f9b61, 0x97384daf, 0x73fcd279,
+    0xdd700df6, 0x894152f4, 0x469040ee, 0x439688f8, 0x3b8d5a24, 0x3faf9b92, 0x880b1c5d, 0x8b8f7598,
+    0xc506b066, 0x7e0a1ae8, 0x0663b3bc, 0x838d63a7, 0xbd8106e8, 0xc4eff70a, 0xead15d75, 0x307d432c,
+    0xb9139ef6, 0x0a560423, 0x85055323, 0x6429ab3e, 0x24e66b4b, 0xac2d4dc2, 0x26d43772, 0x73f439ee,
+    0xe4b737fc, 0x21995679, 0x2ee59301, 0xe6a7505f, 0x6557ba5f, 0x9df9a84a, 0x02078f9d, 0xd0130de4,
+    0x82db2be5, 0xab5c34ee, 0x612576b7, 0x3b906cb0, 0x2051d027, 0x19da2abd, 0xe82ffbda, 0x2a4e120d,
+    0x60868cb5, 0xb25876eb, 0x53e14de5, 0x9a338811, 0x189ecf1c, 0xbe5b37fc, 0xb595135b, 0xcdc5f991,
+    0x8bd35590, 0x095e8ad6, 0xf80295e9, 0xef84a5fe, 0x4ef137f7, 0x0ba5a736, 0xe3bea8e1, 0xfd9f7fc6,
+    0xd9f229a7, 0x6f1c3863, 0x722e390b, 0xb14bbb51, 0x7261417e, 0x5dc66770, 0xd02e0a9a, 0x395edefd,
+    0x44b78647, 0x1d73e882, 0x17338a1b, 0x8f3b8da6, 0x50183535, 0x8a1da56b, 0x48396731, 0xbd5bf056,
+    0x4b1dbf90, 0x28e283fc, 0xefad7729, 0xa3f12e0e, 0x7bba752d, 0x9de87bb6, 0x4d56192e, 0xad0003c2,
+    0xfe758745, 0x738d327e, 0xf280081c, 0x28a7b4c8, 0xd848d84f, 0xf0158fcc, 0xcbb321a4, 0x166b917f,
+    0x2623b7cf, 0xd9c773ef, 0x0ae5d41b, 0x74e4b498, 0x981f2580, 0x1464ff95, 0x0fe67a3b, 0xc67e5169,
+    0x2097aef8, 0x0c65d99b, 0x80d8237b, 0x549264cd, 0x68ff1da8, 0x19b18f20, 0xa16e976b, 0x55c2b6dd,
+    0x532c023c, 0x0a803472, 0x287aa4ad, 0x837b5831, 0xd73a894c, 0xc38e4108, 0xdf90e655, 0x5b18eecd,
+    0xf9afc2ad, 0xd3cfed1f, 0x81dff395, 0x13753142, 0x93e9610d, 0x21880c9a, 0x29c87748, 0x89c139f0,
+    0x532b946e, 0x21826510, 0xc25994f4, 0x017b9bfe, 0x928b6c85, 0xa7a2f6c2, 0xb97590e3, 0x50cb1c85,
+    0x7525f4b6, 0x69e5c801, 0x26d648f2, 0x68225e7e, 0x58f83687, 0x15ec7aeb, 0xcd8840d7, 0x55d78dce,
+    0x8eeff3f6, 0x9bf4e977, 0x9f6607f8, 0x3bccd00f, 0x24462106, 0x472bf33a, 0xb3559e2f, 0x7606a27f,
+    0x31dd4a25, 0x2df5fff4, 0x76df3b40, 0xe304aab8, 0x0e5a023f, 0x382f9bb5, 0x94bea159, 0x9087b946,
+    0x3402668a, 0x594ad94f, 0x998e61b3, 0xbc88e080, 0x53aba2dc, 0x38879975, 0x720d3223, 0x9d298d33,
+    0x3493b615, 0xd96604be, 0xa336a21a, 0xe03fbda1, 0xa7b67818, 0xf6c645fc, 0xbacd3ffa, 0x20e3bf4f,
+    0xd00287a5, 0x86adf590, 0x88c42bf4, 0x5383ff90, 0xdd664272, 0x62daf908, 0x6a8f929e, 0x48cd12ec,
+    0x8606b91f, 0x6c975728, 0xd77b58b6, 0x2e0329fa, 0xa3d822f6, 0xf7c605d2, 0xd8a55a00, 0x307a7651,
+    0xc8e0a6ae, 0x4c6d1cac, 0xe514bfa6, 0xf6f91f87, 0x48bae117, 0xed1948dc, 0x51f31c27, 0x35d80f4e,
+    0x5a2ff82e, 0xacc82003, 0x4b9b7413, 0xe9909555, 0x9f4a1cf5, 0xc89900e7, 0xd3db92b2, 0x6874650c,
+    0xc7adad42, 0x2fb951de, 0x6f411f90, 0x1320c114, 0x5f02eff5, 0x9ea18d01, 0x520cdf5a, 0x45ce1601,
+    0x3190b6d9, 0xa78b1b1c, 0x869f7eff, 0x464d4cc1, 0x479fae91, 0x70b7f78c, 0xd930264b, 0x729fb1c5,
+    0xb94893f0, 0x724d148b, 0x98cc2370, 0x3822eeb3, 0xb6baa77f, 0x7da82dad, 0xd0e9eda8, 0x9e3d343e,
+    0x863b3b63, 0x1d792aae, 0x79fe7966, 0x7e80f1c8, 0xad5016c6, 0x02e460f0, 0x4f3b84e1, 0x9a4cfa3e,
+    0x805c1e81, 0x7390f645, 0xfa100319, 0xde8346c8, 0x25e992a9, 0x07418ccd, 0x7afd9772, 0xfe1c9765,
+    0xdccaf5a9, 0xb79d5aab, 0xa4523132, 0x4ceb9cc0, 0xad4dbb91, 0x1abfdeda, 0xe025cbf8, 0x810a83dd,
+    0x6ad8a879, 0xddff058b, 0xc8e14b12, 0xa44d3e27, 0x6341fb89, 0xa2af0226, 0xfd5a2176, 0x69ab8766,
+    0xf56b919c, 0x11c7b76f, 0x86301a0d, 0x79331348, 0xfcf893ed, 0xcbd1f3cc, 0x429f4465, 0x419197cd,
+    0x383cf252, 0xb755cca8, 0x91d22f45, 0x27bbedaf, 0x5f8b0dbe, 0x84dddd8e, 0x546cc73e, 0x0d16139b,
+    0xf32ad6f0, 0x141920eb, 0xb89966c4, 0xf39bfbdf, 0xccef8ecd, 0x2a915656, 0x2492ca0c, 0xf9262851,
+    0x51e6af0f, 0x1304eb75, 0xd2a456c3, 0xd6d5c4f6, 0x5ac48455, 0xfadcb907, 0xc14f7750, 0x653001bd,
+    0x0a43c293, 0x941543aa, 0x8362b450, 0xa71c68c9, 0x4bdf1b0f, 0xd46a904e, 0x49c3f94f, 0x22f792a6,
+    0xa11381c0, 0x329bc058, 0x318c7c03, 0x5ded585a, 0xbca3f754, 0x07abab92, 0x1c1ae277, 0xfbdff88c,
+    0xf0c0aa79, 0xf98b5c5d, 0xfcf9111c, 0xb9b7b5b6, 0xc0edb7fc, 0xa2d1f4c8, 0x6db94467, 0x689ec30b,
+    0x572cc128, 0x5fed3e9a, 0xdfcb95c6, 0x2588eca1, 0x3c30fd9a, 0xa628ac7b, 0x54b6a49f, 0xbbb35043,
+    0xa1b36945, 0x504f4c8c, 0x5a0f1c12, 0xf5f027c2, 0xe8b67dc5, 0xa4acbd0a, 0x4f231ba7, 0xa00783e6,
+    0x0fff55fa, 0xeaaa9691, 0xcc6a0363, 0xc7b0bb48, 0x1a724f87, 0x741dc103, 0x7feba6ba, 0x6af868fe,
+    0xa1547bcc, 0x2c9aab81, 0x88fb5695, 0xbb8f5cff, 0x624ee0e8, 0xb7321166, 0x3fc7d81c, 0xf265d80d,
+    0xad7bbdc7, 0x554323ff, 0x1f3deee1, 0x00435dae, 0x0fb95a86, 0x847436e3, 0x6ea410d8, 0x96713aa2,
+    0x00000000,
+    0x0cca1fbc, 0x05cf0b3a, 0x236d5901, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc,
+    0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000002486616182\
+                         04893321077691124073410420050228075398673858720231988446579748506266687766528 */
+  { 0x00000000,
+    0x7d8695e4, 0x24043806, 0xca45adad, 0xcc56d28e, 0x7145c88a, 0x1505f6f2, 0x6a19e80a, 0xa7a4689d,
+    0xa9975671, 0x3b9b170d, 0xf6e60eb0, 0xdb677f40, 0x240d67d6, 0x8c0802a9, 0xcd45ab90, 0x176b756c,
+    0x95fa6883, 0xdd514b43, 0xf5a7dadb, 0x72e878c0, 0x7149988f, 0xccf7a246, 0x11e614a3, 0x44799f0d,
+    0x6083f8f1, 0x93895de8, 0xd4bda6ab, 0xe042e89e, 0x659307dc, 0x256c5717, 0xa04d315c, 0x13ad9aff,
+    0x75764045, 0x0e1a4c32, 0x15384793, 0xd5adf2d9, 0x19b0b5a8, 0x5661305a, 0x6a7be4ff, 0x2a670e14,
+    0x8743fae4, 0xcb409d29, 0xda15b1c4, 0xa9cb6fab, 0x571135c1, 0xf6ab9125, 0x0f9d38a5, 0x8397f9f9,
+    0x4101c49b, 0x31cb18e0, 0xdbf683e0, 0xd3c48513, 0x909715f6, 0x4bf8e285, 0xc007fe8a, 0xf2dd3a3d,
+    0x9ceeccda, 0x6f4280d0, 0x3688da56, 0x38ff9522, 0xb692923a, 0xab44cb22, 0xa76da052, 0xc3a2ce25,
+    0x267f7d28, 0xc5166db7, 0x5f5e815c, 0x02815229, 0x6d147980, 0x262a96b8, 0x2f2f420e, 0x2e932e90,
+    0xa6a7efc9, 0xf07d43af, 0xe1d77e63, 0x4fb6beab, 0x174f85b3, 0x3e150fd1, 0x6b2676f5, 0xbc32f836,
+    0x8229a1dc, 0x12faa016, 0xedfb3013, 0xec300283, 0xf6386843, 0xc7838a28, 0xa3954327, 0x6dced817,
+    0x6a248d85, 0xcbac70c0, 0xd8b9deaa, 0x3c733ca4, 0xf8740739, 0x07f8f810, 0x2ac6d5bc, 0x6bf424e7,
+    0x97013b02, 0xcf48f37d, 0x03f04697, 0x978bc322, 0x4f0777c4, 0x5878c83a, 0x22f6710c, 0x30ecf277,
+    0x9d77d39f, 0x8726bf62, 0x283cef6f, 0xe826851f, 0xb86b84f2, 0x2e3c2cfd, 0x458c15cc, 0x3d54c726,
+    0xbae0a3c9, 0x3c84f4cf, 0x7c30d2e4, 0xda736a42, 0x43f89828, 0xbbf6d833, 0xa826f2cf, 0xed59a89d,
+    0x3b24ad41, 0x7de196ee, 0x56d7ca90, 0xfc17962f, 0x364d7cc1, 0x146d6c51, 0x576c9de8, 0x34963756,
+    0xc3fb2938, 0x73fcba0e, 0xc9074407, 0x7bd40c47, 0xd5dde9c7, 0x54563d72, 0xf3467990, 0x6b89a3fc,
+    0x7db7c76d, 0x66673929, 0x4ed07ad0, 0xd11b0947, 0xb5c5636f, 0xa426cbe9, 0x6dd7b84b, 0x43f002d7,
+    0x060bc484, 0xef33009f, 0x0061d1b7, 0xdc455ff3, 0x8f0473c3, 0xebd04146, 0x1b01608c, 0xa9e7f13e,
+    0xf8cfeda9, 0x6a83d2b0, 0xaa4d1203, 0xf64001bd, 0xa1181d84, 0x28378101, 0x964a5d5b, 0x9ebce98c,
+    0x2b4f5c03, 0xa1602296, 0xdc2e4801, 0xc8d541fa, 0x943ed76e, 0x5d1a4073, 0x1b5e0d24, 0xd01dc9d7,
+    0xcc2e4411, 0x23a23bc3, 0x05bcae54, 0xe6fe9b35, 0xcb1acf56, 0xd2948159, 0x01332d56, 0xacf382aa,
+    0xb05111fd, 0x607ea508, 0x99996f1c, 0xa28a6fbd, 0x16f412fb, 0x3c81d7c2, 0x5d91bcc6, 0x863b0114,
+    0xbdd56fd3, 0x8458a451, 0x544b345a, 0x6cb56c2e, 0x9dfc1f0c, 0x0fcfe853, 0xfb351c08, 0xf23d3227,
+    0x714aa913, 0x402947bb, 0x85f08212, 0x3298c7fb, 0xcf0224fd, 0x679aaa60, 0xf569fb7d, 0xc7b55317,
+    0xd12d5e87, 0x162abbc1, 0xe208065a, 0x6b893b97, 0x1ba40018, 0xfa0adc3e, 0xc8b1fb93, 0xe5a8d560,
+    0x670a2d4c, 0x697668a7, 0x50168542, 0xfb4bd229, 0x5353b283, 0x079442f1, 0x62943a8b, 0x2e811b8b,
+    0x8bdb76c7, 0xf63557ad, 0xb6b91142, 0xf61c8909, 0xf766a6d1, 0x47ebec10, 0x6cfe4eec, 0x150039ca,
+    0xef2c8b93, 0xe771681a, 0x481275f7, 0x9d676c34, 0xa24ebb1a, 0x1ba5dbb1, 0x1bb007bf, 0x83a9a59d,
+    0x256df5bd, 0xc7437333, 0xc11202f5, 0x6f6dd497, 0xbe983555, 0xeba461d4, 0x0236daeb, 0xa6755f49,
+    0x27a65233, 0xaa18d16d, 0x19f3ee55, 0xa22a4910, 0x2a039845, 0xa0a8f34c, 0xcae77c3b, 0x320f93f1,
+    0x4a20a6c0, 0x5a6a9db0, 0xa7627350, 0xabe3eefa, 0xc5ffca09, 0x32da9d64, 0x443fe1f0, 0x6e9e43fd,
+    0x2b54f752, 0xc7f2628d, 0x01fa8959, 0xd6d2071a, 0xcbc431c5, 0x86a91263, 0xcdf3d139, 0x26be62f8,
+    0xe9b0d3da, 0x1bacb264, 0x78fba6e1, 0x0d9494df, 0xabf54a09, 0x4cfe5953, 0x42cafc6e, 0x06ab6c22,
+    0x04600aa4, 0x851138fc, 0x344408c5, 0x98d5618b, 0x835a7e78, 0xff0eb0a5, 0x3acb65fe, 0xa7d4d284,
+    0xaf0511f4, 0x6c452171, 0xc37a5283, 0xa09b6f62, 0x3f2e5466, 0x5008e393, 0x27ac73b9, 0x7d944fe0,
+    0x6dd8f3b3, 0x3f40cb42, 0x2d147983, 0xc4e652bd, 0xeb11bf6f, 0x2f9d451a, 0x196a3608, 0x2418ee80,
+    0x161be040, 0xbeed427f, 0xeee66a29, 0x40cd41ab, 0x8834535b, 0xbc784f18, 0x107b4d71, 0x09c928db,
+    0xcb669d1b, 0xb09027e3, 0xd9c0c65f, 0x7bdb0bc6, 0x09800b44, 0x5d93968a, 0xe71d0ebb, 0x18a3c1f5,
+    0xf07e4f0f, 0xd125bb3a, 0x7014220d, 0x9a2e1066, 0xd1b245b5, 0xaf9435fc, 0x94bb7e14, 0xc3def36f,
+    0xc129bdc8, 0xfd151c2d, 0x858faebf, 0x4b081461, 0x3a04cc97, 0xc389ffb2, 0xb4cf1cd9, 0x771b9f11,
+    0x897d0558, 0x417c74ae, 0x97f10acf, 0x9a80ebe7, 0x8372361e, 0xc66dbbdd, 0xc6713ae5, 0xd5271072,
+    0x82c4cbb2, 0x33309c1d, 0xe0982faa, 0xa1b991f8, 0x6f6ee22b, 0x3d125826, 0x8c6c8e1c, 0x0d8495cf,
+    0x23f25bde, 0xd5d6d367, 0x519ba4c0, 0x528f6462, 0x68e865c0, 0x28cd2a95, 0xbcc96930, 0x1ba66057,
+    0xf98a06b2, 0x8fc5a239, 0x65e5e41a, 0x15db8266, 0xd29f615a, 0xf7b9c08f, 0xb6123d72, 0x65161db6,
+    0x335b6ca6, 0x552b270e, 0x24f3d241, 0x1aece03a, 0x12463ece, 0xab382652, 0xd4133542, 0x5131e2f0,
+    0xb6544454, 0x1f7c15d0, 0xf01bfec5, 0xefb4cf4f, 0x0a2c67ea, 0xe7cdb8af, 0x131ae548, 0xa4764dbf,
+    0x27eae366, 0x93a17249, 0x17f91e29, 0xa5987fcb, 0xa7bb5a1c, 0xff02fe9b, 0x4514854e, 0x4de14393,
+    0xb8ce6e14, 0x005d4aa9, 0x1f0c0dd3, 0x27f5f8a8, 0x02dcf2c7, 0xd4f55e63, 0xee411144, 0x42077211,
+    0x1f2a3603, 0x20acf06a, 0x00aafe57, 0xdd69a195, 0x7986a64a, 0xd24e7969, 0x61cd380b, 0xb2d1c789,
+    0x20883a12, 0xc5767469, 0x73042d84, 0x347037fe, 0xa18afe2e, 0xfd713a1f, 0xdef454a9, 0xee7e780f,
+    0x80c62e9f, 0x042cfd91, 0x88e65350, 0x6d3ef4d4, 0x480fc124, 0xb73ce62e, 0x28fb2db7, 0x4cf9edf6,
+    0x94860c8e, 0xd5773071, 0x951a4cbf, 0x87d883a2, 0xd2778caf, 0x538c4927, 0x6c7ab136, 0x8b458205,
+    0xa0c82163, 0x0dc64c55, 0xf82b0a74, 0x99017974, 0x3b7777b7, 0xe3f7affb, 0x6b5ce92a, 0xd67f789a,
+    0x33d5489d, 0xa5f6cb35, 0x7204164f, 0xbf9b5210, 0xae1696b5, 0x209cdede, 0xf936b94b, 0xd0c18e40,
+    0x26f321b4, 0xd73dc79a, 0xea674692, 0x2eaae672, 0x6da9be39, 0xa7ff38f3, 0xfab7f9a2, 0x92b711d2,
+    0x223cab66, 0xaabdb9c1, 0x4818883e, 0x60b8b85e, 0xc49436a6, 0xe1949b9a, 0x9f0a62a3, 0xd59fa3ca,
+    0x3ab821d6, 0xbaf9a0b8, 0x85b4be43, 0x62877718, 0xc27e5377, 0x221d4bcd, 0xa2904c68, 0xc727b3ab,
+    0xcf08ce96, 0x7036e5db, 0x9d5d0570, 0x402834a8, 0xfeaa09f3, 0x6e72233a, 0xd805d885, 0x7afd862c,
+    0x1e6ce547, 0x550330ac, 0xfa98f597, 0x2e774a2d, 0x850de256, 0xf5e21f7b, 0x814b5a85, 0xd409937d,
+    0xfd10e49f, 0x50af81dd, 0x567a1e04, 0xecb66e37, 0xa83b0cda, 0x3cbded67, 0x9449d29e, 0x9fadbf82,
+    0x554c0c6d, 0x0dd792e4, 0x62dfeaee, 0x73162923, 0xa08736e8, 0xb9e69965, 0x88c0032a, 0xf5366f29,
+    0x021e4d83, 0xf2128095, 0x85959a2d, 0x826e321d, 0x846b3503, 0x16464ac7, 0xf0ace1e4, 0xa3c0d96f,
+    0x919e8f9b, 0xe7f217aa, 0xdcbaef45, 0xfc7463b6, 0x2ead7658, 0xff58f66f, 0x0789074f, 0x3afd9f1e,
+    0x622741ed, 0x028de49f, 0x8e80661f, 0x476c04d6, 0x8146bbb6, 0xf41a3139, 0x31fb8380, 0xa962ffe7,
+    0xe14b3ea6, 0x58a13207, 0x3b275e68, 0xb2c8e37e, 0xd8abddb3, 0x7bf7e4b5, 0xd3c77c57, 0x73e16984,
+    0x03809c38, 0x02dbf78e, 0xa054bbb3, 0x5e1c1c15, 0xdf55128a, 0x8769df27, 0xb4ab7db0, 0x4a43a84a,
+    0x8af785aa, 0xf539ceaa, 0x1cb0adfc, 0x5d5726b9, 0x87a66242, 0x99beb9b6, 0x760d4f54, 0x292f52c2,
+    0xbead34bb, 0x738c98db, 0xca5dfd5c, 0x3162ac68, 0xbe1b44b3, 0xd6c4d82f, 0x6f4293c3, 0x97b1f170,
+    0x25f682b4, 0x978757ce, 0x8cd6614a, 0xd3de04e4, 0x0c2f6ed7, 0x96d50107, 0xaad9808b, 0x0ef4d3d3,
+    0xce6df1f1, 0x67d22a3e, 0x20004c94, 0xe0656fa9, 0xe8a74d84, 0xf5e952e6, 0x16482304, 0xb4637081,
+    0x90f8e063, 0x4e80a08f, 0x7ea65076, 0xb06c9ce7, 0x3d8d86f4, 0x2e14c40e, 0x0ff0a1d2, 0xe09d66f7,
+    0xc0241c71, 0xf95e724a, 0x18af9cff, 0xdafa4da3, 0x8cf298b9, 0x14e5c4cb, 0x0f2725e7, 0x64973610,
+    0x68256e67, 0xae52b34e, 0xb49951fd, 0x12f73d33, 0xa277ffed, 0x8c1354dc, 0xb2f77e77, 0x8dbfffa5,
+    0x4300d3f1, 0xa35cb9aa, 0xbc99f3df, 0x53812efd, 0x244a0be6, 0xd1f2f0ce, 0x7b2e3328, 0x0c55db13,
+    0x78b42315, 0x7345f5fb, 0x5b6a09bf, 0x69005a2e, 0x08f1252c, 0x43e4cee0, 0x35f08361, 0xee679d20,
+    0xfdefd243, 0x0384c501, 0xbd092919, 0x37a768cc, 0x523e6234, 0x2f428b5a, 0xa310eac1, 0xe65227c6,
+    0x159da600, 0xf489a58f, 0xb2eb9985, 0xd94c2693, 0x67f9bc0f, 0xf36e4284, 0x5e284ea5, 0x1a5999e3,
+    0x5e45a423, 0x5064aebc, 0x6da44923, 0xe792a8e8, 0xb59248dd, 0xcd5ea400, 0x4b53426d, 0x623839d5,
+    0x01284ee9, 0x9dd36606, 0x1ace9004, 0x2d5e5ac3, 0x6426ae87, 0x03f6ce7e, 0xeb02cfc4, 0xcc275dd5,
+    0x55bf3b4f, 0x85fa63fd, 0x6fae8971, 0x932b958c, 0x5f96687c, 0x7583d21b, 0x8e383318, 0x6f85218e,
+    0x04fe489b, 0x77b59a66, 0x016bdde6, 0xa0a0ec67, 0xe5c31f64, 0x1a3df609, 0xdcd558fe, 0xb852e004,
+    0xad55a9ae, 0x3226a92c, 0xb394e4af, 0xee59aae6, 0x918f8982, 0x10034aed, 0xd9c88705, 0x0fd649e9,
+    0x329dfeea, 0xfe1c5694, 0xf2fbc717, 0x7ad16c97, 0x1c149e0c, 0x60fd51f0, 0xace25047, 0x7ebe821d,
+    0x226e67f2, 0xcb398fa1, 0x4a2a762b, 0x8db6b8ee, 0x202fc293, 0x50b7b9b0, 0x2913a06a, 0x92c09b68,
+    0xe514449a, 0xfb61b405, 0x11482110, 0x16188faf, 0x4bfde9eb, 0x4af49576, 0xbe70981f, 0xa969acb5,
+    0xef1aab5d, 0x47f00fa7, 0x7c05c09c, 0x10d5a737, 0xdec30063, 0x66a74473, 0x85a64df3, 0xc8afc877,
+    0xc6127d13, 0xfe05ea6d, 0x71ca0533, 0xf9245295, 0x21d94492, 0x5004d2ba, 0x3d2acec3, 0xd6869793,
+    0x12dc9560, 0xaa5bc325, 0x7f86f963, 0x36cf907d, 0x54d8612b, 0x5d3f1fa5, 0x991c6f9a, 0x05574dad,
+    0x19bd7367, 0xc1b7c0e4, 0x076ee357, 0xf1a32360, 0x14949071, 0x8dca3ebf, 0xbf24ea75, 0xa4bc4083,
+    0x40e52840, 0xfd9f983e, 0x314977f6, 0xc512c593, 0x82f930b2, 0x5f009ad4, 0xc7a4333b, 0x28229c42,
+    0x4d6d4d35, 0xaf3b3bd5, 0xf61f8718, 0xd56ee800, 0x93b1df20, 0x4a54cea1, 0x338d9b29, 0x9fff995f,
+    0xd0209caf, 0xfec589e5, 0x6359449e, 0x8375b442, 0xdd415d2d, 0x19e40e85, 0x11bc685a, 0x18a6951b,
+    0x0ea19562, 0x7fbb9046, 0xe81b5e0c, 0xe5bf6116, 0x22ed4bc4, 0xa91a40e2, 0x7afcc34c, 0xa49782f2,
+    0xeadae638, 0xec6456d3, 0x8e5de74a, 0x8c5a0831, 0xb9d9f57f, 0xa450fce8, 0x5d9323cf, 0x470ae389,
+    0x290ababe, 0xf9fc4653, 0x46818bdf, 0xa61d4383, 0xe0df8dd7, 0x481ab99e, 0xd7cc2e61, 0x39641801,
+    0x4e0ced76, 0x457bc1fd, 0xbc93a3d4, 0xbf1365ed, 0x8ef79f96, 0x3364f159, 0x2bb6e0fb, 0xb3c21b47,
+    0xdff290d6, 0xe4bbff51, 0x7bd55dee, 0xa90a9857, 0x6992de14, 0x569e9b08, 0xd4b32a8d, 0x60be8e44,
+    0x4cf0750f, 0x3788d8ce, 0x4d052445, 0x80223d78, 0x88a5fef7, 0xd66a3800, 0x61b3c411, 0xab5b36b5,
+    0xd571e083, 0x0df4c8de, 0x24332984, 0xba6481ca, 0xaef57004, 0x6bde5190, 0x953178aa, 0xbdc669bb,
+    0x0196bb69, 0x6bd57876, 0x0a669459, 0xd8ce63f9, 0x7440c794, 0x37fb0358, 0x773546b6, 0x371ad50b,
+    0x310fae3a, 0x1c6e9209, 0x402c6f2c, 0x165d84c1, 0x78507406, 0x1c3c22b4, 0xe66ba97b, 0x02398280,
+    0x3f07ca8c, 0xeada2726, 0x942a9035, 0x4e940606, 0xfd58af63, 0x74d9a6bc, 0xdddbe977, 0xfdc5718b,
+    0x8a77728d, 0xf0d6b8e1, 0xf8916807, 0x3804ae84, 0x7b3e9e96, 0x494cd758, 0xdbfcb1be, 0x0b01278d,
+    0x7b35ffbd, 0xf5d36d32, 0xa3e427b0, 0xbc937d84, 0x42c481fa, 0x1169ff6b, 0x2c6a8645, 0x02ee57d4,
+    0x89d23e92, 0x13210513, 0x0d0ed8ca, 0x622565c1, 0x67cf5b77, 0x9c1e168d, 0xbb488cfc, 0x395bbe5e,
+    0x94363de3, 0x9ace21f9, 0x5bf9518a, 0xf7118560, 0x8e6427c4, 0x845588a5, 0xf8a3ed4f, 0x1a12d854,
+    0x74eac973, 0x0073370f, 0x8a0fb5fe, 0x265de1cd, 0xe6b50041, 0x8e3df9ea, 0x827b1b77, 0xd98cd703,
+    0x946c79b1, 0x7f7048ff, 0x63caca0b, 0x24507ef5, 0x453c7394, 0x3df68aec, 0x55d04748, 0x3be160a0,
+    0x5edd08d7, 0x003a251d, 0x01a507f9, 0x14614fb7, 0xe53381c6, 0x08bff55a, 0x9af42de3, 0x680c390d,
+    0xe10bd1fe, 0xcbf7bc38, 0xf3618be6, 0xcdc3fa6f, 0x73b9f4c2, 0x8c04b05d, 0x8c495517, 0xd40b6a7d,
+    0xe568205e, 0x198242c1, 0xe1c0432d, 0xe08bed7d, 0x760f69a2, 0x32f04dd8, 0x79ea9ee1, 0xc3957750,
+    0x795ef876, 0xfea48e8e, 0xfeb7d93d, 0xcc9580a7, 0x5ad52ad9, 0x07d6a14f, 0x0c0ebfda, 0xa795eb27,
+    0xf66d32f4, 0x6abd81e7, 0x8474b2c5, 0x07830c74, 0xbc1e038d, 0xe67b68db, 0xc40ac0da, 0x89698506,
+    0x1141d41e, 0x4274a2e3, 0x6730ec21, 0xee72194f, 0x62fcec15, 0xa8d6f9f5, 0xe8a96536, 0xe94c8514,
+    0xb5b07bda, 0x342e2d79, 0x43607b92, 0x43f608d9, 0x1948a540, 0xebd0297c, 0xb6fb5b4e, 0x745cd753,
+    0x4556aa32, 0x0393803b, 0x6bea09d4, 0x828f571e, 0xba9c3b09, 0x400c21b0, 0xe1d07d0a, 0xfe09c738,
+    0x0748386f, 0x72105930, 0xa7fe76bc, 0x13721729, 0xcf295b7b, 0x9b40f2c7, 0x5ae8ea00, 0xb7177ae3,
+    0x5dd9ce93, 0xaac510e9, 0x23aed24e, 0xa940e1c5, 0x5f3c77e5, 0x3a7c5966, 0x42932f03, 0xdd585f19,
+    0x51e3f7b3, 0x43d679a2, 0xcc7a2310, 0x8d03b010, 0x2efa6a3e, 0x1e00108d, 0x4d0d3fb0, 0x8e02a0ec,
+    0x1671b65e, 0x719240d6, 0xec10ef42, 0x90ed71cb, 0x07996f4e, 0xbd98f43f, 0x6e01970f, 0xeacb6f91,
+    0x0735c206, 0x33eba00e, 0xaaf3bb79, 0x50637d35, 0x7ccff81a, 0xdd47143a, 0xffda6a03, 0x18e23ddc,
+    0x51544d35, 0x784296a0, 0x56193e07, 0xba75cc67, 0x70f88bf2, 0x2382535e, 0x3fd48c11, 0x22f461d4,
+    0xa894b7d3, 0x34c282a5, 0xf8b2cf4d, 0x2ad72a7f, 0x668d60c0, 0x56f02fb0, 0x992d9768, 0xd1a044c0,
+    0x2126cbf2, 0xba111787, 0xbee720a1, 0x059ef14f, 0xa5004709, 0xb8c94d7a, 0x7d869d23, 0x95eaec0b,
+    0x1938d945, 0x6cc32d34, 0x615e09ee, 0xccb4f04e, 0x53d5d830, 0x84f89788, 0x05361a7e, 0xc43f74d6,
+    0x00000000,
+    0x06650fdd, 0x82e7859d, 0x91b6ac80, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe,
+    0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000001243308091\
+                         02446660538845562036705210025114037699336929360115994223289874253133343883264 */
+  { 0x00000000,
+    0x5891926d, 0x6f091848, 0x899ed6d4, 0x4c26019c, 0xb3e9c063, 0x44a58151, 0x89862ea5, 0x88074116,
+    0x56f2c699, 0xf56c8593, 0x5c955a68, 0x94f33441, 0x8249a226, 0xd6f87df8, 0xac7965d9, 0x03579ab3,
+    0x5addafad, 0xddf8e536, 0xc0aaaa07, 0xe063dfff, 0xc8d0fd61, 0xa20202ea, 0x7c260738, 0xdb0c8fc0,
+    0xd80ce308, 0x837b5b9c, 0x28b73af8, 0x4303bf8a, 0xd3e50dd1, 0x70da5897, 0x2c7fc2c9, 0x2c538688,
+    0xf22fde8d, 0x07eb5b82, 0xa30f792a, 0x98c3349c, 0x8228d21e, 0xcf8b6112, 0x18750d4b, 0x3c789fef,
+    0xd320af87, 0x8fe6ca67, 0x0e5868a9, 0x43c63837, 0x5e59a6fb, 0x40a7e573, 0x755b9864, 0xf50d6c34,
+    0xb8141c54, 0x0ae35ee3, 0x6a9f1af1, 0xff7132d0, 0xce041835, 0x880cdf47, 0x083b19d5, 0x306cb0a1,
+    0x057a1c67, 0x1ed6cb43, 0x1339d07b, 0x746e37a3, 0x98e41b75, 0x1b254583, 0xe8865dee, 0xafee7321,
+    0x1cc9cc49, 0x418c3993, 0x6cc91ec2, 0x0d0684c5, 0x709e15e8, 0xc881920d, 0xa4f5d67b, 0x2162cc37,
+    0x0b7ad5e8, 0xa80ceda3, 0x7652d22c, 0xb94954e5, 0xeeda0435, 0x5c6d097b, 0x2506505b, 0x3323c6ed,
+    0x0d051d3c, 0x40de0d3d, 0x3c07ba1e, 0xd7c9a6e0, 0x80467fc7, 0x661a7a36, 0x11ea3481, 0x86a4783c,
+    0x112f431f, 0x3ae9b5b3, 0xd3542bb7, 0xa5058d57, 0x6fee85d1, 0x0b4ca4d3, 0x6aafb6a4, 0xa2f79264,
+    0x580952e6, 0xb4af2f5d, 0x478691cd, 0x568d1c6f, 0xd454211f, 0x838451af, 0x0e351315, 0x3a85eeaf,
+    0x6462f05a, 0x768d005c, 0x4c173943, 0x083b5b88, 0xcb4fc2ad, 0xc6153f2e, 0x5efa1877, 0x02af8df1,
+    0x4f45d75d, 0x08915d56, 0x6dcfea95, 0x7ba60f09, 0xefd07bfb, 0xfc22e75f, 0x8f2153fb, 0x3dd7d905,
+    0xb6c09cb4, 0xcaf23eae, 0x283014bc, 0x0995140a, 0x49bb947e, 0xb68ab6a7, 0x879af2cc, 0x51487e38,
+    0x8937a8b4, 0x3f74e614, 0xb4a78284, 0x5779d84c, 0x3dc45b53, 0xe72b1a4e, 0xc3832154, 0xeb0f7480,
+    0x6a405ab0, 0x24d4d113, 0x711c9049, 0x67f06e34, 0xf5a526f9, 0x8ebbf0c0, 0x1be85253, 0xadeb3d03,
+    0x3d941bf1, 0xd9764771, 0xee7f1cef, 0xa0b6f6d0, 0xf918b620, 0xe616d827, 0x830e1ea7, 0xe172261c,
+    0xdf2e7c93, 0x80a7ef02, 0x7a9c972e, 0x60d594dd, 0x5b68dd99, 0x4de256fe, 0x02f6aa57, 0x7022b5e1,
+    0x3b288554, 0x6f6eb3dc, 0x439d9e99, 0x961dec2a, 0xe8ab29f9, 0xe4eeb71b, 0xbbfc40f9, 0xc16abe76,
+    0x6bee270b, 0xcf5b575d, 0xd89f185e, 0xa99b671c, 0x6011ea89, 0xbcc39237, 0xd7c378e8, 0xc4377340,
+    0xc3ee2c05, 0xb1837787, 0xdd5bd73c, 0x30329947, 0x27777bd1, 0xe1d1d069, 0x4ee339fe, 0xb80e91d1,
+    0xcc595436, 0x7eeb7103, 0x7ef58e3f, 0x772c95a5, 0x43622102, 0x65d28600, 0x38aa8949, 0x6ca785c7,
+    0xd734e88d, 0xbcfb9d7f, 0xe2ee7c55, 0xaad1c15f, 0x436f3436, 0x2390cc74, 0x5bfcb13c, 0xb2105cbe,
+    0x24c453dc, 0x2b1b0662, 0x9ddab834, 0x11aba884, 0x3d12cd5c, 0xe667764d, 0x4cf7b6aa, 0x7cae8bfc,
+    0xb08178d8, 0x5b147f50, 0xa026aa27, 0xe7653b9c, 0xd2e8463f, 0xe7c3b734, 0xce4f9604, 0xfca54058,
+    0xec517a00, 0x4340f80b, 0x3209416b, 0xc072269e, 0x4be7caef, 0x734a29cf, 0x471263ff, 0x808b2adf,
+    0x1a556a84, 0x19eec253, 0xc7398134, 0xd8e689bc, 0x7600319f, 0x6d5b4ca4, 0x1779c745, 0x063b58a2,
+    0x76201f11, 0x19769978, 0x3f2524a5, 0x254334ba, 0xe8dbefd9, 0x4b20f18e, 0xb718a877, 0x90ef9f4b,
+    0x227f5d86, 0x8c8a82e4, 0x09fb1660, 0x13e319eb, 0xf3cf294a, 0xf527e2dd, 0x36b07e59, 0x91730224,
+    0xd64fd92a, 0x32e64799, 0xf9ae7123, 0x54279a1d, 0x652a66f1, 0x47c41866, 0xd46986f1, 0x7abe66b6,
+    0x9917608b, 0xcc7f449b, 0x5c9aaf42, 0xb3f2f36f, 0x9bab07be, 0x1102bebd, 0xd40c143a, 0x3bd6bb81,
+    0x6865d982, 0x81be2ab1, 0x9c852918, 0x1b0509c1, 0x67bd96f7, 0x40bcbc0a, 0x9e11e428, 0xd2d7e70c,
+    0xea1a153c, 0x2b5b5e94, 0x094b862d, 0x66d4fa71, 0x8e900aea, 0x51171430, 0x1dcda533, 0xe3301138,
+    0xf9e828e2, 0xc032b5e7, 0x8a1ac58b, 0x593d0f14, 0x40e1c7d5, 0xce7830d5, 0x18d5c2e1, 0x2950e684,
+    0xe888820c, 0x9fd65bc5, 0x926c8461, 0x19241ab3, 0x8e12a3c8, 0xe5630d56, 0x69a89c14, 0x57ef01c5,
+    0xf76729b1, 0xf02149b1, 0xf8479577, 0x7280807b, 0xd9e9fead, 0x0ad78fd6, 0x207dc33c, 0xe6ccce12,
+    0xacf9d98f, 0x1a430a7b, 0x0eea8d29, 0x1f4271a3, 0x9251261b, 0x6d3c32df, 0x8e833b8e, 0x99b1d54d,
+    0x6d2a0e27, 0xc4fc6cdd, 0xe01f2c10, 0x339e30b3, 0x3f60e829, 0xf00d2d8a, 0x8119d82d, 0x1d0bb650,
+    0xec3afa5c, 0x12ad111c, 0x78061d1e, 0x24016e12, 0x6be263c4, 0xcca9ea55, 0xbe6d90c1, 0x71d7f0c7,
+    0x531f0b10, 0x2b36b481, 0xebaff338, 0xb993ee0f, 0x72f309ea, 0x54245a8d, 0x0e2b2bf0, 0x8e6b7dc7,
+    0xb3d228cd, 0x38c40140, 0x405600b4, 0xe19ffcd0, 0xaab5f515, 0x29683700, 0x6c80aa27, 0x95d04702,
+    0x22eba25b, 0x1df056dc, 0xe61c0e7d, 0xea4b1978, 0x46ee0411, 0x3d77e012, 0x27bfc7bc, 0x3ff2feff,
+    0x80439892, 0x1bc9cd5a, 0x5fc23179, 0x7273be2e, 0xbfeb0445, 0xb3f581a0, 0xf30bbc09, 0x4e65d2db,
+    0xdeb28ba3, 0xf5d9e45e, 0xcff5aa6b, 0x4cf63c26, 0x51294dbd, 0x694ba0d8, 0x91e9607e, 0x3b7c4b9d,
+    0xe41a23a8, 0xb0336ec1, 0x5835a0ed, 0x2f420fc0, 0xf6fb4829, 0x13bcc302, 0xd15c4b4c, 0xbf3277aa,
+    0x00277a6a, 0x98028c7f, 0x21b6319c, 0x2ef24271, 0xc6ac628b, 0xd46406eb, 0xb57bab73, 0xcab5a66f,
+    0x941a7303, 0xee6813cc, 0x07b3441f, 0x4daaf4b9, 0x2625de13, 0x987b831f, 0xa1b23a3d, 0x4ea0b456,
+    0xbd95c8c8, 0xc07c0602, 0xca03ef79, 0x5fea0cda, 0x0a735bda, 0xd31cb198, 0x31c9468d, 0xf52fe24b,
+    0x854b78dc, 0x01e559ea, 0x1ec70798, 0xb6f45ecd, 0xa9376ef4, 0x9a44e69f, 0xa3f63150, 0x102c718e,
+    0x7ce40332, 0x6c3ee418, 0x51985fa4, 0xd30950f1, 0xd3f72618, 0xe8f26555, 0x1a732df4, 0x0cb163ea,
+    0xf151ed61, 0x42f26c57, 0x3b9c6547, 0xbbbaeba8, 0x9ab609ca, 0x81286db1, 0x03d60d17, 0x61b23e05,
+    0x66da4265, 0xb54b9a3e, 0xcb5e8fff, 0xcb9e2de6, 0x071b2909, 0x13c37979, 0x646ab3dd, 0x7be9afdb,
+    0x0086de8e, 0xcc92e356, 0x586e2eab, 0x042ce2e5, 0x8c70f80b, 0x1cca2bcd, 0xa099b131, 0x3b2546ac,
+    0x8eeff3f3, 0x8f205dc1, 0x737f8a42, 0xa018681d, 0x8320be11, 0x57b7c2a9, 0x7beaee1b, 0x8b17c68c,
+    0x69c2c1aa, 0xecf9fd32, 0xa47b15ed, 0x27456263, 0xc9e09fb6, 0x92f97abb, 0x654f85b3, 0x49a008d6,
+    0xd61e9b96, 0xb91ecd2d, 0x9ec38922, 0x78af9753, 0x46b26064, 0x87887246, 0x8f3f7ec5, 0x8503b562,
+    0x75f8e511, 0x6a9484e9, 0x6fc43e01, 0xfe92bc13, 0xfe6d9bcb, 0xa5110be2, 0xd65f8ee5, 0xe7a03a4d,
+    0x38d19185, 0xe5e452dd, 0x1664f81e, 0x05dc9ac4, 0x0834ed14, 0x765b725d, 0xd68c4668, 0xd7b5c09b,
+    0xc98209f4, 0x298341e9, 0x85a3c232, 0x989b2273, 0x57fc3480, 0x7c826a97, 0xfe6c20fe, 0xc059a1d8,
+    0x2b9a1d02, 0xba32c124, 0x918b459c, 0x3cddd19f, 0xc3458b86, 0x9fd9dc94, 0xdb471871, 0xdbf5da76,
+    0xa5cfa5d7, 0x73411add, 0x626d8b3e, 0xf49f584f, 0x4a848bc3, 0xf360a95e, 0xbd0ba4d9, 0x38188336,
+    0xdbe7f67c, 0x5e7be385, 0x291e8d93, 0xddb11594, 0x7caf8a43, 0xe36b8854, 0xa7585a95, 0x7af50e8e,
+    0x2997f5de, 0x8372590a, 0x25046252, 0xbb309a9d, 0x6b64a83f, 0xf4324623, 0xc0d46b39, 0x3cd9e067,
+    0xe23300a8, 0xc556c4f0, 0x49d17476, 0x132b4456, 0xd43f17f2, 0x8d3dfff4, 0x555ae241, 0xcabbfea5,
+    0xbd2bfc16, 0xfba33187, 0xd79ec3d1, 0x8fcc6ecd, 0xc6f0f9e1, 0x277d3cbd, 0x464226c8, 0x27888814,
+    0x7e65c743, 0x248df3de, 0x81b6f392, 0x49d45346, 0x4c4ce29f, 0xd9b2fabc, 0x50bf5fd8, 0x680f3ecb,
+    0xf1d6e37d, 0xb98860e3, 0xec922eab, 0x0372d51c, 0xcda119a9, 0x9bd74ff9, 0x621aded9, 0x5e6e8bee,
+    0x152b51bd, 0x62db708f, 0xc22d544f, 0x0c5a4c9c, 0xb6c170e8, 0x09712e01, 0xde80737b, 0xd36c57b4,
+    0x05885903, 0xd8cede53, 0x00f445c1, 0xbd56f50b, 0x469c8f74, 0xc6cd1cc0, 0x6859fa6b, 0x1892b524,
+    0x542eedd6, 0xd83d5631, 0xb27e27de, 0x64d1a209, 0xb3106b78, 0xdcc5ef8e, 0x803a66b4, 0x985c8c8b,
+    0xb2019150, 0xdf713ecc, 0xc5100ba3, 0x4f95441d, 0x0d805bc8, 0x3520f671, 0xf0254b76, 0x37bec6f5,
+    0xcf54b3a1, 0xb76b9f9c, 0x5199fb8a, 0x931c28c7, 0xc3e6f23f, 0xc375eed9, 0xbc404093, 0x930dd831,
+    0xfd23c233, 0x519835c1, 0xe28ff190, 0xbddcefaf, 0x0c3d46c6, 0xe329a53f, 0x8d347d16, 0x979d96b2,
+    0xcc4b6bd5, 0x43f51ead, 0xde14f773, 0x4ec1a0eb, 0x963b2950, 0xbe7a167d, 0x0ec9690c, 0x68f1a138,
+    0x7b0a68b3, 0x53c8daf3, 0x57f2da68, 0x3a1ed973, 0xdc16fa0f, 0xf2c84964, 0x521e3ee8, 0x39ae9298,
+    0xdd377af4, 0xe38202eb, 0xcb600b36, 0x21de2fd9, 0xd3c23af3, 0x3f484a66, 0x1f63c076, 0xca765abe,
+    0x74d160e5, 0x1c0f636e, 0x43a27f79, 0x3f5e1925, 0xad53c8ee, 0xa3008585, 0xf2964a61, 0x31b59958,
+    0x17f366d2, 0x355fa908, 0x9037c350, 0xd04b49f4, 0xc488258c, 0xe3d7aa62, 0x0687dc9b, 0xbba88856,
+    0x0f7a0c95, 0xa63b71bd, 0x5cd7035c, 0xb9752645, 0x41815452, 0x704be0bc, 0xcbc865d3, 0xd79bc427,
+    0x876bf997, 0x134eb3c3, 0xa4a10193, 0x414d5158, 0xf5f37c79, 0xfaeabbc0, 0x2152f37c, 0xd3f853dd,
+    0x3533055d, 0x62195b54, 0x2f20471a, 0xd0f8fa05, 0x0e38d565, 0xcf871b7c, 0x94a1202d, 0xde9f1111,
+    0x5b63d61e, 0x1da4bf03, 0x7b8af8cf, 0xc3d7dfa9, 0x24a98483, 0xea6b83db, 0x9fb8ad1f, 0xd02b024b,
+    0x1d21c954, 0x10a197e2, 0x10b2dccd, 0xaa924265, 0x465fb801, 0xef38b67d, 0x4ef73f80, 0x95bc5f1b,
+    0xfa431fbe, 0x900c5b9d, 0x62375e8e, 0xed200e7c, 0x050de772, 0x8e04e132, 0x0174b450, 0x2cc06867,
+    0x3819e236, 0x250f4b9f, 0x9814408d, 0x35ae2776, 0x52b17861, 0xe4550c7e, 0xbe4852cc, 0x5fefcab5,
+    0xa457ea1b, 0x64061d57, 0xd369a1e1, 0xd663aaa8, 0x41543abe, 0xc6b43a55, 0xae5d22dd, 0x46de0966,
+    0xd7bffed6, 0xb6d968a0, 0xb6529f35, 0x02c98aa5, 0x00d4c335, 0x9da7d970, 0xd1d0fbf1, 0x281e144c,
+    0x0e3503e1, 0x2e6a6279, 0x9aa0622b, 0x24b07300, 0x9f518dd7, 0x66ac4681, 0x03a15e70, 0x1bfa752f,
+    0xdd9b961c, 0x5d82a48f, 0x3472f22f, 0x1e5af1ae, 0x8dc896c0, 0x7909b259, 0x786e7e98, 0x8c5783cf,
+    0x70175ed8, 0x5c7b118a, 0xf708d37b, 0x14453a59, 0x22fa8ccd, 0x8dc75d14, 0xb5fc2e48, 0x46c31fca,
+    0x62b9e5b7, 0x5341edb7, 0x06f93f5a, 0xdaeb3886, 0xb2191a5f, 0x67886383, 0xbd4c2c21, 0x1db0f384,
+    0xef02044f, 0xb505e756, 0xc2b73897, 0x7d3b326f, 0x4f7579c1, 0xea275cb7, 0x453f5ca6, 0x355b8728,
+    0x3c1b108d, 0x9e91087f, 0x18f9bcb4, 0x1bb8072f, 0x78070dcd, 0xb80de7b7, 0xc2bd2149, 0x284d28d0,
+    0xce757140, 0xaee075f7, 0xa00ecbc0, 0x772ddbac, 0x3d73dd00, 0x5c5c3f29, 0x64dd3d36, 0xbd226454,
+    0x9078754c, 0xebd6767c, 0xe7562171, 0x2e7879c1, 0xfd267395, 0x1fdde2e3, 0x571fb04b, 0x9f15d9b4,
+    0xc483bd3a, 0x56870981, 0x2a1feac8, 0x04ba4127, 0xb1819f9f, 0x0b3dd3d2, 0x5528f839, 0x94825325,
+    0x5d4b3b6d, 0x17ebee42, 0x4a633af5, 0xaa646e04, 0xe0a8a0cf, 0x8b73dffb, 0x2a9ffde3, 0x0b2edc44,
+    0x8b51d402, 0x5158826a, 0xf7a46b09, 0x1efafc12, 0xadc6d1fa, 0x91d39322, 0x72099a53, 0x0b82653d,
+    0x4b504efd, 0xcb802936, 0xdd49b220, 0xda967667, 0x4405d8dc, 0x40ba7111, 0x7d03ab8b, 0x6b98cb96,
+    0xbfc72fb5, 0x554ca16e, 0x3a297a52, 0xd0500381, 0xfcbc8037, 0xa4114e3c, 0x8838b1cd, 0x6296b875,
+    0x21d2f5d4, 0x908bcd88, 0x10609db4, 0x50fb6060, 0x9e54680e, 0x30bed6ea, 0x285960de, 0x893fa352,
+    0xe98ed4ed, 0xed1a8df4, 0xa0d12fbb, 0x6f9ee82b, 0x828df8e7, 0xf8a0ba65, 0x0ffe0460, 0xfd73747e,
+    0xeaeb5257, 0x00b339e4, 0x4fdf87f3, 0x810fb69f, 0x9b90dc15, 0x04e16346, 0x9779fe5e, 0xee69bb62,
+    0x3d2dc08c, 0x80be01b1, 0x819fd8a9, 0x29fb601c, 0x1e809040, 0xea920bda, 0x4bfc5219, 0x957fa249,
+    0xbd68bbc5, 0x2b58a978, 0xd718b679, 0xf2761d9b, 0x3afd8112, 0x36cb2213, 0x2794bc5b, 0x097cb687,
+    0xd9379903, 0x7482ba1b, 0x5ab9c106, 0x3fe3825b, 0x7d88a10c, 0x4ba95b89, 0x6e33bde1, 0x42969cc6,
+    0x173c2381, 0xc135351e, 0x1863f180, 0x7cd4c4a4, 0x4429fcda, 0x79eeeb22, 0x7c682bea, 0x62f9a46b,
+    0xbd5e19a2, 0x029212a9, 0xab843e6c, 0xc64bc70e, 0x90709ccb, 0x5ccd30d2, 0xe6d0c9e2, 0x206f99d1,
+    0xd5ae4a19, 0xc35ff8fd, 0x4ca418c4, 0xd4bbabbd, 0x989252da, 0xd252d2df, 0x1b738692, 0xd631583c,
+    0x475677a3, 0x1f8478a8, 0x9bc4b987, 0x2b6b7fc4, 0xed00df4a, 0x6407f06c, 0x246bdb59, 0x927e86a8,
+    0xda8f8bf6, 0x034abbc4, 0x36c2057e, 0xc3fcd921, 0x713037f5, 0x8dab9260, 0x75536945, 0x304f12a4,
+    0x0d15e1d7, 0x54702401, 0x12e4a3e2, 0xe1de509d, 0x9082cd92, 0x2523b60d, 0x58a4dee9, 0xabf02d6e,
+    0xd35fb9cb, 0x914edb0f, 0x76af9f96, 0xa04debe7, 0xc0e4b9b0, 0x518ad765, 0xbc553e48, 0x68fc6a85,
+    0xe3533767, 0xfaaae5b6, 0x6e33a689, 0xb77171c5, 0xecbd8e09, 0x5adb515d, 0x1ee049eb, 0xb677c672,
+    0x10ecf784, 0x863b785e, 0x5be90ce3, 0x7d124fff, 0x12c05748, 0xa9228e71, 0xd2891124, 0x977d20d7,
+    0x2c5cc021, 0x4afe66f7, 0xd16e0edf, 0xc57660af, 0x2e36ae43, 0xcc649581, 0x707f1bed, 0xacbec03d,
+    0x14f0ac60, 0x49172ee8, 0x4e3854a7, 0x5a9a1c75, 0x2e1b308b, 0xd187791c, 0xaba83016, 0x4057076d,
+    0x38be35cf, 0x3dcfad3c, 0x602038b1, 0xa3c78414, 0xb2f7e731, 0x7ee27994, 0x337d6260, 0xaa1068c9,
+    0x282e56de, 0x5d06490f, 0xc8347422, 0xf94bb3a7, 0x82991d79, 0x897ad2a3, 0x5aec37b8, 0x8d99ab2d,
+    0x9c439509, 0xbe50dda6, 0x723c5ab6, 0xda23c382, 0x245f0f7a, 0x5300d377, 0x2de6b4e9, 0x59c2d070,
+    0xdadbd5ba, 0x085f4d0d, 0x26fce1cf, 0xf50bb2af, 0x8b390a2c, 0x98032fbb, 0xbfd4697f, 0xbae6c89b,
+    0x5c96681c, 0x5529c7ca, 0xc1ac61a9, 0x7f15ead2, 0x03fa26e5, 0x9cbb1bfc, 0x1e47efed, 0x302e015a,
+    0xf665ee55, 0xb62a3151, 0x53148437, 0x47285040, 0x122438c0, 0x1e4ed47d, 0xb4a893b8, 0x4fe474d6,
+    0x199dba00, 0x4c3e897e, 0xe3b8d779, 0x594a516d, 0xf4081028, 0x5c4c02eb, 0x35f198ff, 0x9e7df6a2,
+    0x00000000,
+    0x833287ee, 0x4173c2ce, 0x48db5640, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f,
+    0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000621654045\
+                         51223330269422781018352605012557018849668464680057997111644937126566671941632 */
+  { 0x00000000,
+    0x0ee5c7c4, 0x12d413f3, 0x9dbc9287, 0x94f4ef8f, 0xe69bd1cb, 0xfc521a12, 0xfb31ee70, 0x9bd9746d,
+    0xcedfc7c8, 0x280cfdaf, 0x18968566, 0x0296a649, 0xc5e70750, 0x4458c118, 0xa731b675, 0x0d6fbac2,
+    0xfeab9657, 0x537106ac, 0x6afd2f0a, 0x31b45ff5, 0x40675f70, 0xda4f515b, 0xaad7fcbb, 0xf2acbb22,
+    0x62b8bcd6, 0x4a8aeb77, 0x60637964, 0xb6eb1b89, 0x39322afd, 0x88664779, 0xa6042b6f, 0x98d790a0,
+    0x36b12db1, 0x1115e35f, 0xdb4aaf14, 0xd6966c99, 0xf7a00171, 0xb7b6ad56, 0x3670975a, 0xa4375d82,
+    0x24ffae06, 0x2e495162, 0x282a8f07, 0x5848da9e, 0x2af35601, 0x3b77626e, 0xb35331da, 0xf6978568,
+    0x2aea248d, 0xd944afd9, 0xf4469a71, 0x23cbe01f, 0xcbc49a11, 0x3b107c70, 0x6b24bc02, 0x203100e7,
+    0xedb6e8cd, 0xd468cd27, 0xf234350d, 0xc01695bf, 0x949dc659, 0xb8a58841, 0x9739c08d, 0x3dcddf90,
+    0x20b411b4, 0xfed95d07, 0x6db6239e, 0x793e6d11, 0x2068047d, 0x18909a8e, 0x7c71ea7b, 0x1e53df83,
+    0x41296758, 0xefc6b1d5, 0x38d61e04, 0x6a5777b4, 0x17a2ce46, 0x2b5add77, 0xe6438958, 0x356c0b09,
+    0xc772a627, 0x288dfa72, 0x466d130a, 0x42f0b81c, 0x890d473f, 0xcb0aa4d2, 0x5142bc2b, 0xfc078eac,
+    0x2fc472d5, 0x31b8faa1, 0xe43f9248, 0x5109a408, 0x32bc7885, 0x5b6d82ab, 0x737e2c4e, 0x0d104432,
+    0x78622a9b, 0x6547da5f, 0x0ce35583, 0xc5cb0fce, 0x068bf7d3, 0x8af0768b, 0xa2086a4c, 0xd7542c38,
+    0x23a22381, 0x8a37211d, 0xf39a4526, 0x5708eee2, 0x2f01f803, 0x56c0aec3, 0xc638b92f, 0x3e1c14e3,
+    0xd909c560, 0xead06f85, 0x6604f6e8, 0x0480ef88, 0x7a9b36ad, 0xef0e3dfc, 0xbb3f5216, 0xa88379e8,
+    0x7f88a149, 0x2afcf479, 0xabb66561, 0x9e0ae4ca, 0x165a3857, 0x15e2925b, 0xb6161c2c, 0xa673002c,
+    0x815bb7bc, 0x1dc0ba79, 0x67483f80, 0x58baa4b0, 0xe734456d, 0x6a26ab58, 0x8302c793, 0x7eb5f3b9,
+    0xda6de6d9, 0x570e273e, 0x37cfa464, 0x24beb8cb, 0x72e7d454, 0x2a0e2c83, 0x715e8acd, 0xf18f743c,
+    0x306aba50, 0x085ab723, 0xa7c5e2a9, 0x5d3c140e, 0xc02a62cc, 0x9c89bc40, 0x4937c68a, 0x393b4382,
+    0x19ffe74d, 0x074c28e0, 0xbc1e97cd, 0xf8a9cc65, 0xdfc76430, 0x5882d2d6, 0x238d65df, 0x150096b6,
+    0x7f3e104a, 0x980d7cb0, 0x91c269d6, 0x95ae3910, 0x39d4e89e, 0x8fef48e5, 0xc4037829, 0xcd89bcf4,
+    0xb926d7fa, 0x52f17942, 0xb47a89e2, 0x4b195684, 0xfff5d46d, 0xee6f3454, 0x9cc8e000, 0x1b21427f,
+    0x95c0c563, 0x67ef81c2, 0xf10691e6, 0xa518d42b, 0xf99aff15, 0xc0e148f0, 0x24fed4a1, 0x9af35959,
+    0xcee29006, 0xd275c0fc, 0x87593ee6, 0x18fa58bf, 0xc514fa00, 0xbbf06530, 0xa45bba1c, 0xb35d4cb7,
+    0x113fc357, 0xd02afcee, 0xae6c4c60, 0x88300826, 0xabdb2f55, 0x851456b8, 0xacaaf412, 0x1dccdaf4,
+    0xfe74c766, 0xfc259e5c, 0xa82446b5, 0x2c5fa95c, 0x29b5ebd9, 0xa58f710e, 0x6527272c, 0x43d54162,
+    0x5483f2a8, 0x530acd2e, 0x2ec83958, 0x6158f1d6, 0x498b11fa, 0x5627b798, 0x2b59c190, 0xe0472e28,
+    0x960fb559, 0xaf7f33ac, 0xdd06d736, 0x72c1bb9f, 0x85250c6e, 0xff14761d, 0xefee10dc, 0xf4539ddd,
+    0x3b12f615, 0x11a792f2, 0x565cf4b1, 0xb5e906bc, 0x8c9f5a7c, 0x174e6ee8, 0x692467d4, 0x426fb417,
+    0x935974c7, 0x6604ac6e, 0x01b4870c, 0x4e747e7a, 0x15b836fb, 0x8c99f627, 0x01b56214, 0xed88a1d8,
+    0x16078bf6, 0x5c4d8c06, 0x2989ce6e, 0x3a104d3a, 0x25009bcb, 0x5c646e36, 0x61cfa110, 0x3964cc6c,
+    0xe9996081, 0xfccfbd97, 0x95f64335, 0x017c7f1a, 0x60525110, 0x0bb3d663, 0xfc6c5a56, 0x06c9292b,
+    0xd869ee8c, 0xc05f50ee, 0x9a47b37a, 0x3f2d819f, 0x75a9820b, 0x29751480, 0xbf34990e, 0x3099f2c3,
+    0x309e6d9d, 0xe233c1fb, 0x6d937992, 0x5f13a415, 0x2cfd4ada, 0x6fe6eac8, 0x000e989a, 0x0e79b387,
+    0xc8086cb8, 0xdd77a896, 0x518206d7, 0xbc9a124e, 0xa7b688df, 0x06042de7, 0xd5236a9a, 0x7374fc3f,
+    0x9692c031, 0x1344e501, 0x5cd298c8, 0x53155cff, 0x2080409a, 0x48636ef4, 0xde37e0de, 0xe406db05,
+    0x835be6d1, 0x9bd2226b, 0x1219c76f, 0x6f9fa741, 0xd813d502, 0x76902e11, 0x56c3e2bc, 0xe294f0c7,
+    0x5f094a03, 0x973b51cc, 0xf25e7a48, 0xe6e29670, 0x0efcdbfa, 0xf7bee8ed, 0x01bc730a, 0xf1912db7,
+    0x58a97674, 0x6b2fc94e, 0xdf5b1b9f, 0x7e98ee04, 0x2752ff3e, 0x61f9345a, 0xcdcd44bd, 0x22060ab6,
+    0x906e73e7, 0xfd3185e0, 0xac71b75d, 0x33aa0951, 0xe6c404a8, 0x0361f4e7, 0xe73f727f, 0x6664fa6d,
+    0xfc953b6b, 0x0ae4870d, 0xedc24bbd, 0x3c391d83, 0x2abba474, 0x2dbb1f0b, 0xdb6ae262, 0x6b0b4adf,
+    0x4edb8b0b, 0x7c4cd006, 0xd59bed12, 0xdb8fb5be, 0xcb26e1f7, 0x402c8a5c, 0x70d3deb1, 0xd3d68769,
+    0x1de1b56a, 0x1a88564e, 0x55abf0c2, 0xfe85477a, 0x45dd121f, 0xfd0f08fd, 0xf430d227, 0x35031985,
+    0xa073038c, 0x8c212414, 0x0c597fc3, 0xe937bc75, 0x83721a0e, 0x0fecba57, 0x8c398f56, 0xba06cd39,
+    0xbdcb5b9b, 0x6fcbe095, 0xb66ec58f, 0xf619b562, 0x2ddc6c46, 0x61719af0, 0xe370271f, 0xc2333b0d,
+    0xa894b384, 0x2e8e47c8, 0xb11eff83, 0x7a7c72fd, 0x7a9f4f08, 0x417f5185, 0xa2cf3110, 0x9d78d01f,
+    0x75ed0e81, 0xaa16bd24, 0xe2f65458, 0xd0c9cdaf, 0x123f5f4a, 0x6f45ab5a, 0xaa47dac1, 0xa171a92d,
+    0xd2dd8252, 0x140d085a, 0x775d3d2c, 0x05fd842a, 0xa8e0a496, 0x1d8a1c62, 0xc0635079, 0x969ee632,
+    0xef02b841, 0x072ce743, 0x6b6e24fc, 0xfa12d3c0, 0x31320cee, 0x6ae0576c, 0xbb1016da, 0x1ac712aa,
+    0x6eb39c31, 0xd98e3367, 0xc7545727, 0x322f5a03, 0x10c50dec, 0x27368bc3, 0xc6e9786e, 0xc3b41cf8,
+    0xb0b32651, 0xc0d6d62c, 0x5ef6d2e1, 0x8b68c27f, 0xf6d7e4c1, 0xf2a0fdfa, 0x57daf4b4, 0x252a0299,
+    0xd9e07158, 0xfa6d183b, 0x067b3bb7, 0x72c7321c, 0xc58c5731, 0x6c2cf371, 0xe6a0c17d, 0xb799b5e3,
+    0xccbef177, 0xc053a8d9, 0xa0736d2f, 0x313001b2, 0x63fa9b34, 0xf3057cd5, 0xe0c059ed, 0xb300b2c0,
+    0xa68b2daf, 0x7e937010, 0x81151224, 0x7e4b17bf, 0x34eee93b, 0x129064e6, 0x56a1b57e, 0x71be3628,
+    0x5be0a4e4, 0x0754d542, 0xde504223, 0x888502a4, 0x6e9ed762, 0x816e5640, 0x4ad35abc, 0x633f4f69,
+    0xb8d44007, 0x350fb02d, 0xe143941e, 0xeb988bc0, 0x848fe06c, 0xd6ad6089, 0x73274e56, 0x8ae88ccc,
+    0x1c00a069, 0x89735688, 0x86c054c7, 0xe2052036, 0x1527558f, 0x811f4e7d, 0x7a9c137c, 0x664acc05,
+    0x0b36de10, 0x0ef2a263, 0x039dfea4, 0xcf457011, 0x8a98bf8d, 0x7e5cbd51, 0xa689d8ab, 0x87c55269,
+    0x91b473ae, 0x82bd3be3, 0xc9f1a391, 0x2be8e018, 0x5b6e6af0, 0x42f2337e, 0x682094a9, 0xe0f7c303,
+    0x26359e78, 0xc1dbb384, 0x5f33134b, 0xf3e3a26e, 0x39303a4b, 0x93ca9102, 0x3486b970, 0x3d1bcb2a,
+    0xe58bf492, 0x2ecf378e, 0x13a6721b, 0x186f2b55, 0x5696640b, 0xbada28bf, 0xb9a2824e, 0x72393d30,
+    0x34402ec9, 0x32383ff5, 0xb8e33a21, 0x10e1ef5b, 0xfafbbb61, 0x17e87dc2, 0xc7816a4f, 0x758c0204,
+    0x7addcf55, 0xc826b542, 0x8e79ea00, 0x71116d34, 0x41123474, 0x01efb78d, 0x1214d3ad, 0x9da37565,
+    0x25b08d60, 0xd316532e, 0x70bcbd91, 0x7b63a4fe, 0x0c25afd0, 0xeb07365b, 0x6fcbebb8, 0x7e7959e2,
+    0x5320fe31, 0xfb24ab5b, 0x58bf5931, 0xcda724e0, 0xf6ad4dae, 0x62f692f9, 0xfab82f3e, 0xda240815,
+    0x9a36ee70, 0x5c32ce32, 0x15a1d7eb, 0x4f6f07cf, 0xf4873386, 0xc0a2dfe8, 0xb4947b46, 0x6911f326,
+    0x1cac2386, 0x3217b83a, 0x75de31fa, 0x9cbe534d, 0x7e980efb, 0x482d81ca, 0x32d15059, 0xad494807,
+    0xa1514632, 0x6adf3987, 0xa866da82, 0x410ce088, 0xfdec0dab, 0xa7e06e8b, 0x2c6e34cc, 0xfe696f14,
+    0x64a55eea, 0x2a71ada9, 0x9366cc7f, 0xb649088d, 0x9a28f195, 0x8264a8bd, 0xdcb9d53c, 0xc4876bb9,
+    0xddfc7969, 0x55368648, 0xa525f744, 0xbe348262, 0x4e021e84, 0x26e70329, 0x6dbd4607, 0x11edf151,
+    0x2a3176b3, 0x12598f8c, 0x5f4758bf, 0xb8fd788b, 0x63728fee, 0xd5c45d10, 0xc47365aa, 0x73964cda,
+    0x4cf9905b, 0x8c15c642, 0xea14c6ab, 0x986ef511, 0x75a98a5b, 0xe0589048, 0x9380c8ff, 0x9ec9c6db,
+    0x761d81ed, 0xe530982b, 0xf2c052d4, 0xeb932d47, 0x2c0ef498, 0x8de1d182, 0x0556d3b3, 0x040edc13,
+    0x47bbb3e0, 0xb6b6ef72, 0xc0cea85c, 0x4aa6dab6, 0xbad201b9, 0xffce4aaf, 0x1f235ca3, 0x30ead643,
+    0x9969d943, 0x415d5b76, 0x66858f54, 0x32279e64, 0x1b754ed2, 0x414719bd, 0x7f5db17a, 0x946ae6bf,
+    0xc1a429b6, 0x908b0afe, 0x2c142196, 0x425c377a, 0x336c9caf, 0xa999a910, 0xea5a539c, 0x04732ded,
+    0x68b50751, 0x42736328, 0x2aa4808a, 0xada0afee, 0x7c46a7f1, 0x7bb580d9, 0x5f65350d, 0x89a6c6ce,
+    0xf25405ff, 0xaa39917c, 0x6facb6cf, 0x67850f6b, 0x838088fc, 0xe6f12760, 0x82a64dbf, 0xd29dda82,
+    0x88281574, 0x1cce2d74, 0xd0905fff, 0x6e48bf9c, 0x7d796a73, 0xd10cccbe, 0xc222ba05, 0xe5eaa258,
+    0xbb544939, 0xaace0894, 0x23b343f3, 0x48278c00, 0xe39f29dc, 0xcbba4b3e, 0xec8c003d, 0x794a634c,
+    0x9c961fed, 0xde38006e, 0x9072028b, 0x93f877de, 0x9ec3f014, 0x191f3cca, 0x1effaa26, 0x0b4c79e9,
+    0x4e2f3fc1, 0xe25e6bb2, 0xae87bd15, 0x3ef8db72, 0x61c68841, 0x5678639f, 0x9277d163, 0x15ae4844,
+    0x5311e6c1, 0x019531a5, 0x5ce878ea, 0xef41f1ae, 0x13396a2b, 0x8b85580e, 0x21562ce4, 0x71dfefff,
+    0x5651c8cc, 0x0a32c1f9, 0x4a64ad9b, 0x97a16992, 0xa9422b2b, 0x888ed425, 0x859bd737, 0x8d4360f5,
+    0xb5eb1ccf, 0x56105815, 0xce4383b9, 0xbc0617d6, 0x532e199b, 0x6dccc791, 0xe0a7bece, 0x1e85d2fa,
+    0x1c915db0, 0x89cf0d40, 0x3e6baee7, 0xe2c0f620, 0x0a7f6209, 0xe0772c01, 0xd8f7e457, 0xfa30272c,
+    0x5fbac3e7, 0x01ea4e89, 0x424a7d44, 0x2a130f11, 0xc17d6101, 0xda151928, 0x2b107f23, 0x0d1a2633,
+    0x84786932, 0x29a70ea4, 0x731b90d3, 0xb837ed77, 0x831399ea, 0x75b16a74, 0xe81cbc57, 0x8d3b9912,
+    0x93b5c864, 0xeb47afc9, 0x56e4ef4b, 0x1b5122d5, 0x2919b035, 0x8ac53af3, 0xcf5a9572, 0x92b89e6c,
+    0x6c3326af, 0xb30b8215, 0xc502565a, 0xcda60b2f, 0x0d8a9a7a, 0x1631525b, 0x742a815a, 0xb51fd7d0,
+    0xdfeb08b1, 0xeade5b0b, 0xd0087875, 0x7e5c0f21, 0xe88b796a, 0x552bf9ab, 0x87e53bfe, 0xab5d6e64,
+    0x0582680e, 0x8eb448f6, 0xeb8e994e, 0x224ff7a9, 0xf743c4d2, 0x0f01ccc5, 0x2b5cb728, 0x12fbb4da,
+    0x0f9186c4, 0x68241a01, 0x251c9009, 0xcc33368a, 0x4938b80d, 0xd4d5ab5e, 0x75787a87, 0x3777b453,
+    0xd0df57a2, 0x2fcc4e4e, 0x33e628cf, 0x4d68660f, 0x044f3a98, 0xd6f8cf6d, 0xeb865089, 0xb6007e3d,
+    0x0267829e, 0xc50721b3, 0xc5c2acd4, 0x795d8cc8, 0xb06ca9a5, 0x2b07b405, 0x4ab074ca, 0x114c418f,
+    0x593ad985, 0x6afc8690, 0xb0656a91, 0x43a468ac, 0xa2ae215c, 0x28ed745b, 0xae0acb54, 0x7cc30eb2,
+    0x7f52c385, 0x00aeba9c, 0x704112b0, 0x187fcf0c, 0xc21b956e, 0x62b4d237, 0xf24ee0b7, 0xfd9c046f,
+    0xe58b17e0, 0xa6269860, 0x4a3e4d60, 0xe2822ef3, 0x05de92ef, 0x7f067d7b, 0x513c4f97, 0x085fc271,
+    0x6bf54f3d, 0xd8bb6c8a, 0xbc78cba3, 0x6deb818b, 0xfc20af25, 0xfe79676c, 0x0b933b81, 0xc6790916,
+    0x022e3d27, 0x85c50860, 0xddf69b04, 0x3460f079, 0xa03213b2, 0xa59920a1, 0xeac27ef0, 0xadd1077b,
+    0x10a64fc6, 0x93c3d8e5, 0x003656dc, 0xbca0112a, 0xba12673f, 0x0debe6aa, 0xb5dc9bdd, 0x6ed27e57,
+    0x70a672d7, 0xae4e07a3, 0x646cd8c1, 0x0e2b8f40, 0xce695310, 0x128789a9, 0x2e017e45, 0xd677aaac,
+    0x0c39e568, 0x0134d2ad, 0x908d4a5e, 0x314b8c17, 0x1eb5e973, 0x4a933b19, 0x41921cb4, 0x5adcb796,
+    0x2bfd0a1c, 0x8f7662fc, 0x8269f141, 0xb106ca88, 0x4e981897, 0xa9c894b4, 0x8a7e21c7, 0xab98edf7,
+    0x8133261f, 0xb17714bc, 0x4f5a03fe, 0x52aedb76, 0x946cf159, 0x099f19f9, 0x60dd6727, 0xbfc670ff,
+    0x094ce212, 0xcc61fd73, 0x75d72d4e, 0xf4cbaeb0, 0x3d79a73d, 0x8bf94b80, 0xb3a3d37e, 0xc30972e3,
+    0xf8a02a29, 0x1a5a0ee6, 0x723e01a5, 0x41f31b27, 0x4270dc75, 0x495ddf9f, 0x7416d9f0, 0x077f1b88,
+    0x9bbaa3d9, 0x3201af2b, 0x703f264d, 0x10f8c9d0, 0xfa0f6b9a, 0xe71628fd, 0xd2fae968, 0x10513e0b,
+    0xe5f225e1, 0x1abaae73, 0xdcae2ba0, 0xbb56c52b, 0x6c599bf8, 0x6173a864, 0xd35cde16, 0x6160e633,
+    0x20eed6cb, 0x75e5ad88, 0xf7f972a4, 0xa9b405ea, 0x7a8a5d27, 0x5428253f, 0x0c8591b7, 0x96df0cd9,
+    0xf5181f85, 0x051575f8, 0x1d27a4d1, 0xc57d08c2, 0x83fe3c39, 0xbedca06a, 0x4ea5aca2, 0xc707f4a7,
+    0x8f7e8c5b, 0x23432a37, 0xa5e344e6, 0x660025bb, 0xe24ce0ee, 0xe7ef6778, 0x417332a8, 0x2b881e1c,
+    0x53f037d5, 0xaa63604c, 0x7232bf0f, 0xa2ac4187, 0xeec47204, 0xcacf45a1, 0x295eb667, 0x2b3ce920,
+    0x5a6c3ce3, 0x4fac17aa, 0xfcb9d94e, 0x1e91a1c2, 0x3a87ed41, 0x4fc2387a, 0x12b147b0, 0x8d02bdea,
+    0x2a3d8b0a, 0x39eb13d8, 0x0e4eff22, 0xebf86f43, 0xa0a43533, 0x1e0d3a9e, 0x9a758d40, 0xde3f6df4,
+    0x99ac3f96, 0xf190be17, 0x31884702, 0x01e1c78b, 0x5a733b77, 0x3cdc9acd, 0xd2171a33, 0x2f0047d0,
+    0x0cdc0e18, 0x169145aa, 0x76bc301b, 0x27dc1257, 0x4217e60d, 0x14bea6d0, 0xeed66372, 0x60e6e679,
+    0x902588d9, 0x293ccf49, 0xb920aa2e, 0xcfe790fc, 0x53e2fccc, 0x26f7cf57, 0x83b9ac93, 0xd844ff80,
+    0x1f4c45e1, 0xa724de96, 0xa5a3f4bc, 0xa896d3c0, 0x2a1d8f92, 0x9abdeb68, 0x7bd37ee3, 0xeeba75ca,
+    0x958ba588, 0x5d9b2e46, 0x93d34c6a, 0xb1cd7baa, 0x570ab3ff, 0xcb815e4a, 0x4626566d, 0x1ea25962,
+    0x183d9427, 0xe032b0db, 0x8bfa29fe, 0x65930ab8, 0x81e72630, 0x7ae6bc51, 0x6b4cd032, 0x1629f38e,
+    0xf5e37af8, 0x9691a221, 0xabb47b08, 0x3f6ed1c6, 0x93aff418, 0x6e0ff124, 0xa0ac0726, 0x6ec79b10,
+    0x3e0a2e0e, 0x65a61b17, 0x7485e7f5, 0x966b2fed, 0x2881c55d, 0x5bfaaa5b, 0x98c34b39, 0x007f29f9,
+    0xb8958b25, 0x24572975, 0xeb44bc9c, 0xe9dd389e, 0x673761cb, 0xf7d9810d, 0x8ba6f33e, 0x7ab995f2,
+    0xdfc1d79f, 0xa603384e, 0x2f36b031, 0x77edcfde, 0x9ecdb02c, 0x13d31718, 0xce7d56c0, 0xbb0b038e,
+    0x9ce5d248, 0x94900afe, 0x4e401126, 0x289868e0, 0x7d82ae12, 0x2a5843e3, 0x508c38d7, 0xc96e0739,
+    0x00000000,
+    0x419943f6, 0x20b9e167, 0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf,
+    0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000310827022\
+                         75611665134711390509176302506278509424834232340028998555822468563283335970816 */
+  { 0x00000000,
+    0xcffc2f5c, 0xbf4e5c85, 0x515d2b57, 0x76ca136b, 0x0f00f5f4, 0x330eaa42, 0xd0732968, 0xf4cfcfdd,
+    0x30835be9, 0xddc476d6, 0x4b9091b1, 0x24902338, 0xb707679c, 0xbb16b645, 0x21d7f005, 0x785ac880,
+    0x71deec89, 0x721da5ca, 0x1ac4109c, 0x43ee96f4, 0x4024966e, 0x849e800b, 0x93f8c6fd, 0x0cde812d,
+    0xa7e66f6c, 0x0d930b73, 0x22c7ccb9, 0x81a2e6c9, 0x7c6057fd, 0xdf228e5e, 0xddaabbc1, 0x3ca3f626,
+    0x53d9153c, 0x1ba3a7b7, 0xec0070b4, 0xf40e602c, 0x7630a3ad, 0xabe9e22a, 0x917bdd84, 0xa600e47a,
+    0xdb085cd4, 0xf7275ef5, 0xad035eb2, 0x0c8546ab, 0x65917322, 0xd47d6c03, 0xc78070f6, 0xf28d8e1a,
+    0xa6bc7cf7, 0xec95b917, 0xb515cfeb, 0x5d1b5f99, 0x86842321, 0x407f6c7d, 0xe434fc5a, 0x422ca676,
+    0x0e889a36, 0xcebba287, 0x409f4123, 0x3c5b2a44, 0xb8e325aa, 0xfd369785, 0x705f8b57, 0x9f1206fb,
+    0xa55fc4e3, 0xa0a05ea0, 0x5bdffdf8, 0x1830ba1c, 0x417c94ab, 0xeec1840b, 0xcb5311c4, 0xcaa012c9,
+    0x7bda3990, 0x967c8af0, 0xd9b6f19f, 0x43446763, 0x53220285, 0x991721b5, 0x50609c29, 0xfb5ed68c,
+    0x923d9b5a, 0xe1d02f98, 0xd160097a, 0x4706975a, 0x864761f0, 0xf31f6142, 0x51dd2a6d, 0x3540741c,
+    0x9bc114ea, 0xe36eae56, 0x93f87818, 0x5abea41e, 0x135b30b7, 0xc568f412, 0x6dd069ef, 0x6dd9f0e7,
+    0x71aa9ffe, 0x0b547b06, 0xac71bf3a, 0x0a9948b7, 0x265c3f0c, 0xc309ad44, 0x13ff581b, 0x94a86048,
+    0xf116c3bb, 0x71ee5f97, 0xf9e2b18b, 0x03650f0d, 0x3537abc2, 0x6e426e88, 0x32a05342, 0xee5deb56,
+    0x2db0394d, 0x2ec5d101, 0x11874702, 0xa288df96, 0x6e04b356, 0x8df7207c, 0x07f5ed7b, 0xcad461fd,
+    0x713557ac, 0xc58efced, 0x2ac35cf4, 0xa4642206, 0xae55a2b3, 0xa5ae2281, 0xf28b1a7e, 0x69e5bdbf,
+    0x2f4ea905, 0x5f206f79, 0xbda96157, 0x45e24503, 0xa2706dbb, 0x57b313b1, 0x2676e5f5, 0xe8a97715,
+    0x9b396381, 0x19f5f4ad, 0x094c6713, 0x3737adcc, 0x992b40b2, 0xf881f55a, 0x75794be1, 0x7ece0ef8,
+    0xddee4701, 0xc8beb3e3, 0x25bef38d, 0xa1c20d1c, 0x973a299f, 0x0cadd79a, 0x69c16c6d, 0x9ba05810,
+    0x837b1262, 0x00d45df0, 0x16e7a1cd, 0x4ca4eadb, 0xc7e7be50, 0xf4e84d62, 0x170ebb2a, 0x67bfc098,
+    0x724584cc, 0xe6da028c, 0x6a3b9950, 0xab1403dc, 0x6dfcae8f, 0xb2c96541, 0xde7c3b31, 0x2f7cbb1d,
+    0x499761ce, 0x923783df, 0x1f2e44e5, 0x4f8b04de, 0xe68e0a30, 0xe04af451, 0xef802d47, 0xa8e7631a,
+    0x55813bdb, 0x67c90b56, 0x4627ba8e, 0x0ed40630, 0x47f4796a, 0x64cab3cf, 0x1eab69db, 0xcc5bb586,
+    0xf16f8f27, 0xf8fca39c, 0x0c976917, 0x92c19600, 0x2c82eccb, 0x1ba29e69, 0xf65da064, 0xe5fd8ad4,
+    0x334cb90b, 0x76b8ad5c, 0xfe814514, 0x5ecb19cc, 0x70e3db55, 0x96b71a46, 0xff934f6b, 0x1db8315c,
+    0xdd16ed57, 0x03f07eb0, 0xdd9ae7e5, 0x18afd433, 0xeba8de7c, 0x4c22dad4, 0xac34a3c4, 0x81e56f86,
+    0xe50b4f6e, 0x8b6496ac, 0x569cad53, 0x5b176611, 0x7e586d7b, 0x6b03b2f0, 0xfe9e9de7, 0xc6bc7805,
+    0xfeaa4878, 0x720e66a0, 0x3662360c, 0xdd40cd9a, 0x6fc2a49a, 0x76087be5, 0x425b8e09, 0x0aa61d14,
+    0x987a7078, 0xcd4f8e51, 0x067a25b4, 0x56ffc113, 0x9f4fb8f4, 0x5b77b445, 0x93de966c, 0x676f4e2d,
+    0x24d21a8f, 0x2c12a327, 0xacd8648e, 0xfd6b34b8, 0x3bb4bff4, 0x4e493eaf, 0x7c279e8a, 0xd9d054a1,
+    0xf4b1b582, 0x3baf9619, 0x7d90ce86, 0xda4c42e2, 0xd50afb71, 0xa74c2f13, 0xe4572d65, 0x1a40089e,
+    0xaab4992d, 0xeaf7ccf5, 0xb773181f, 0x8bb22a53, 0x14e07df7, 0xe73abca6, 0x98d013bf, 0x5981058f,
+    0x6854c9f7, 0xe4390b3d, 0x2694f1de, 0x21fa734f, 0xca811732, 0xe3504a9a, 0x7d4f1e75, 0xa7a03cc7,
+    0x436bb11f, 0xde45b3e2, 0x4341108f, 0x04ffdc7b, 0xda38fbb3, 0xb0252c6c, 0x774e2bec, 0xd64f82e1,
+    0x151273ec, 0x776fe2b2, 0xca215e08, 0xffb8bf21, 0x4b95e779, 0xae5f8364, 0x511900e5, 0xf94b3723,
+    0xbfe44224, 0xc0939db0, 0x50ce344b, 0x87f8da01, 0x67c5cf3a, 0x6caa7671, 0xcafe0ab0, 0xb14199d4,
+    0x17c9ce6b, 0x66c2a496, 0xf67d1df6, 0xf98808d1, 0xac3da988, 0x16882c93, 0x26429dc6, 0x57baa91b,
+    0xca6d1e74, 0x756805ec, 0xaa4779c0, 0x0eb10b19, 0x995bc4d7, 0x3a067489, 0x0baa6ec3, 0xa15c9b95,
+    0xf62c7379, 0xb378644b, 0x5ce361c6, 0x0c269672, 0xb5c52e69, 0xb9462b5a, 0xa7b9c838, 0x1e140618,
+    0x32c530c8, 0x5f96102e, 0x5a8f3067, 0xe9974a9a, 0x6a79d335, 0xa2a53a0a, 0x6dab5df9, 0x90cd6c61,
+    0xbfa6b201, 0x732f2a7a, 0xf25e93f3, 0x154755f6, 0x6943a123, 0x0a9b773f, 0x181f0792, 0xde324c9b,
+    0x5b3ac544, 0x4dc64c20, 0x90892ae2, 0xce4188e0, 0x40d6ff12, 0x315d4c07, 0x0876fd6e, 0x1e6ce0b1,
+    0x394a30f1, 0x4da0b68a, 0xdf3cb6c2, 0x47e3bfcf, 0x391a0915, 0x25bd9abb, 0xe3ee0535, 0x979de39b,
+    0x6bff91ca, 0xbaeef3bf, 0x058fe9ee, 0xf4522678, 0xd7cb7f3a, 0xe1d2f83f, 0x253321b8, 0x41566674,
+    0xf42f0ba7, 0x31b32e05, 0x601a6a07, 0xe5a172fb, 0xf6e80791, 0xf84e96a4, 0x95652379, 0x6af3b5d3,
+    0xca11f3a9, 0xeb08e7f1, 0xab815175, 0x756efa6a, 0xc52c8ab4, 0xa19d79f2, 0xffafb357, 0xac46e89f,
+    0x1bcdb75a, 0xb3d2bf71, 0x72b94246, 0x3291ad12, 0x345a3955, 0x5555f446, 0x602248d6, 0x00e1c015,
+    0x91508291, 0x00379247, 0x3527bf2e, 0xe21eb54e, 0x6cab7fe3, 0x4872fc64, 0xb13b9f77, 0x2b4cdc6e,
+    0xb4e957c4, 0xccb1415d, 0xf41281b1, 0xb0493d84, 0xd8bc2957, 0xc728d003, 0x214721ca, 0x7831a56c,
+    0xb6be0f37, 0x49f647e5, 0xb4f669fb, 0x29850424, 0x19971dc3, 0xfca60cfa, 0xbf2a51cc, 0xc0d83d9d,
+    0x22d0cf18, 0xeeb86bcc, 0xdf77dc53, 0xc886bf71, 0x54ceaa0b, 0x215fb1ef, 0x77d17973, 0x1400f0ad,
+    0x60260e10, 0x544b921a, 0x2b19f893, 0x816968bf, 0x566fb7e9, 0x07b89d38, 0x58096765, 0x77d13448,
+    0x458f1be9, 0xb1c333ae, 0x2db0a840, 0x4aca50dd, 0x7ad6398c, 0x8d852c2e, 0x91324b02, 0xf210b219,
+    0xfa656139, 0x3078c115, 0x73c9f002, 0x97bdae78, 0x04869a04, 0x55e581df, 0x8ed3e9b8, 0x7e405c80,
+    0xb29d60ca, 0x96fb4de2, 0xcb2509f7, 0x16b3656e, 0x1455a0ac, 0xdcd68b70, 0xa0b9267d, 0xddc58fd3,
+    0xf1f053a1, 0xd546a00d, 0xa340e032, 0xd766d164, 0x9a3048d8, 0x386a2b04, 0xc4edd6ae, 0xe4efbd6f,
+    0xb4f8f695, 0x1220c028, 0x4d32d571, 0xbfee7940, 0xfbe661b5, 0x156de65b, 0xdedcdd7c, 0x318c8def,
+    0x3df107b2, 0x9f6012ab, 0x15159a14, 0xd5ab7ca9, 0xcc726620, 0xfeae866e, 0x9a57a6bb, 0xf2533aa1,
+    0xcc25ee75, 0x37baf9f2, 0x47f8f3c6, 0x7d85e8a0, 0x6dd75a17, 0x0fd3f1cb, 0x1d69f0c6, 0x8135b6f2,
+    0x03155dad, 0x6152f691, 0xb4180b03, 0x9f91ec5c, 0x9bfc4c72, 0xd2fa8ecf, 0x6bd5d08f, 0x31bccdaf,
+    0x3417f634, 0x71f4791f, 0xc21f6f31, 0x5386d672, 0x329c9942, 0xe924fc74, 0xd141a5d3, 0x81b7335a,
+    0xaebe81e6, 0xf5f9e3f9, 0x7993c788, 0xf4a3ccf1, 0x2c40ae2a, 0x97bb233c, 0x1f2fbe93, 0x73cd2648,
+    0xd287f9b9, 0xa1eef98c, 0x0025b574, 0x7c381891, 0x852fb5f5, 0xcd38a1c2, 0x86661bb3, 0x804d23e4,
+    0xf06b0e9e, 0xda68cfa7, 0x145876af, 0xd4e3ff74, 0xb5ec3f23, 0xaf608dcb, 0x4a52b15a, 0xdc210c1b,
+    0x055e1e48, 0xab828cee, 0x6800ed46, 0xe09ff216, 0x41eb8218, 0x69b1a552, 0x18719598, 0xed9cd213,
+    0xb300fdda, 0x16ae754e, 0x6f3e421b, 0xbdb8a4c4, 0x9d4367a1, 0xc041f23c, 0xc1f95bfd, 0x1fa632a6,
+    0xdd326764, 0x92c17e13, 0xb263707a, 0xc3d6d436, 0xe2518af5, 0x60857f79, 0xa59f19c8, 0x1864fedb,
+    0x149fbbe5, 0x16b73808, 0xdf4974b9, 0x2f7e145f, 0x31712ca4, 0x9b80cb7a, 0x84d6f234, 0x61e09e9c,
+    0xef8b5d18, 0xe58a31db, 0x9ccf3d41, 0x9dd35323, 0x8145a1a0, 0x37dcc6b7, 0x897eb753, 0xd6218e78,
+    0xdf35f3ce, 0xa055fdf7, 0x329f26fb, 0x8f8c5280, 0xdfecd68e, 0xf38cc9fa, 0x24e3b1c0, 0x0a58a0cc,
+    0xe5953a27, 0xddc9bfde, 0xaa18b5c4, 0xa99d2742, 0x0205fc4f, 0x475fd733, 0xda0f7005, 0xff91af5a,
+    0xe450a134, 0x6b23669c, 0x1500b673, 0x63304a39, 0x5de60cb9, 0x3a11b7fa, 0x0c44cd64, 0xbfc5cb45,
+    0xfd642bdd, 0xbedce0ba, 0xb7e4c126, 0x4404f323, 0x094a2ff5, 0xc4f09b32, 0x718c4c26, 0xd85b4d66,
+    0x552da762, 0xa00f3c57, 0xe7b87d30, 0xbf14af9b, 0xee44e612, 0x692c6342, 0xfe113ebc, 0x4183ba31,
+    0xafe2cb71, 0x955b22ae, 0x0fb8e7de, 0x52dfff11, 0xa5cb5ef9, 0xb6cda2fc, 0x7ee6ba4c, 0x2d3f9f87,
+    0xf0fc36b9, 0x59d991f8, 0xc8a79228, 0x95403a38, 0xde6670a9, 0x4a5afb6e, 0x516ffe0d, 0x1fda2f67,
+    0x4554cf12, 0x8f227a99, 0xf3bcdbcc, 0x2672066f, 0x52480dc3, 0x8b2dc172, 0x8a104c1a, 0x694597d3,
+    0xe464d893, 0x6872e146, 0x8db6eafe, 0x23d9fbd3, 0xfb8d5338, 0xd3d682ba, 0x9b71bd5b, 0xbb48427b,
+    0x2f947151, 0x90803af4, 0x047c556f, 0xc11c1847, 0xee7a50e7, 0xfbbcebbb, 0x2daff286, 0x8168d7c8,
+    0xc095f790, 0x8d24c386, 0xea09a2b2, 0x1f25ca1e, 0x90e5a57d, 0x77db6b79, 0xe2618da3, 0xd98cdec0,
+    0xfce3f840, 0xf409a51c, 0x4a4008b2, 0x65db0f33, 0x2606dea2, 0x7fed173a, 0xb1054e57, 0x5c9474f6,
+    0x573361bb, 0xdc6b7be3, 0xc2d9059f, 0x9b651320, 0x3563b9d3, 0xc225aaf5, 0x4eae651f, 0x56885011,
+    0x2b03909d, 0x4f1fa1d4, 0x567b11dc, 0xd35955ab, 0x50fc847b, 0xe9e21163, 0xbeae92a5, 0x26adc685,
+    0x48d5f6e3, 0x974d7033, 0xe14c5d04, 0xd54be19a, 0x56c38ec5, 0x2f0d9db5, 0x0e328658, 0x871ae3b4,
+    0x8fd08395, 0xd6a22933, 0x1842fae2, 0x59311a91, 0x3e5c0b37, 0x1dc3faff, 0xbfca01ec, 0x6252c53c,
+    0x659d1671, 0xfa8a3a82, 0x414c47d1, 0x71e04a85, 0x36ded613, 0x0554dbe7, 0x9d86b5ec, 0x4279a0ae,
+    0xf6d842e7, 0xfa7f0ce2, 0x8673e472, 0x44846f46, 0xa52616ea, 0xc5335e53, 0xc2aea6bd, 0xc46f61b5,
+    0x86177653, 0x8a66442c, 0xd2ec0d11, 0x1f826e90, 0xa869c052, 0xf3c2cb1f, 0xc5043d8b, 0x261d93ea,
+    0xd225c465, 0x4940a966, 0x9a8897b9, 0x707e7bfc, 0xfb51f4b9, 0x4504bd16, 0xb64b4bbb, 0x821b586f,
+    0xbd7f6e7c, 0xb8740a62, 0xbfc4ee65, 0x986ef5b2, 0xbe9f6ed9, 0x6679b313, 0x24482d10, 0x4c2de7df,
+    0x7f07deae, 0x02cac3a2, 0xea6e6206, 0x767b73de, 0xe5a3672f, 0x94073213, 0x7d01c474, 0x117b1a58,
+    0x584c6c6c, 0xa9ce81df, 0x51e906a9, 0x84b9a983, 0x4db26d56, 0xd8881abc, 0x61fc6213, 0x75288f1f,
+    0x7ea6c74c, 0x76a2f717, 0x0e06ae85, 0xccfa9fd4, 0x37e1e083, 0x2a043a91, 0xdfbfb1c1, 0xe9dcc18a,
+    0x5a0a5aa6, 0x3d0f5c15, 0x18ee694b, 0xa5137151, 0x33038c09, 0xfca1b002, 0x3e53026a, 0xcc572deb,
+    0xb7733a87, 0xb0860df9, 0x204a7835, 0x0725a76b, 0x9a002a6c, 0xfec88b61, 0xdc721400, 0x14515d2c,
+    0xe1a7c272, 0xf6517fcd, 0x98c733cd, 0x1e0251fe, 0x31d52959, 0x4165cc86, 0x5f03c26c, 0x24c73ae3,
+    0x90fd866c, 0x10c301d0, 0xb190ae51, 0x192922f9, 0xb0e1618a, 0x49980f29, 0x92e48d5b, 0xd11259eb,
+    0xb1fc95a6, 0xcbc7d4e6, 0x26637bf3, 0xa8fbadf0, 0x62cfc654, 0x835ccea9, 0x52c2ed8d, 0x2c415e87,
+    0xeb06230f, 0x00b5104c, 0xb4a8a2eb, 0xf1ce4aff, 0x2281798e, 0xcf7dbf76, 0x07e46f77, 0x5989ce7e,
+    0x56b51420, 0xc8bc0cc7, 0x83e2a06e, 0xc07ee4d5, 0x93e0134e, 0x8d09a12c, 0xa6f19478, 0x21c9f6f6,
+    0x1b954f38, 0xda4e4a8b, 0x95b48205, 0xa36e728d, 0x7e6d23a9, 0x6508b0da, 0x25271e46, 0x71c2e86c,
+    0xb9dde119, 0x31587da6, 0xd80e0c1c, 0x13b5b8c2, 0x6f417bba, 0x10d36192, 0x24e4a4aa, 0x248bd780,
+    0x631f31b5, 0x402c5b56, 0xa060a738, 0x0bc9cf4f, 0x2582091f, 0x88549927, 0x7cd73ec5, 0x6c6ea837,
+    0xba0a01a8, 0x4f33148f, 0x1cb15133, 0x6b58b327, 0x244e13c9, 0x9c62c5c0, 0xcd068bcc, 0x92cb03c6,
+    0xa95f9e4c, 0x6b064ed4, 0xd723ed3d, 0xf9391b74, 0xf7671d05, 0xd4ce5a8c, 0x2733957d, 0x2aadc0f7,
+    0xe6ee2a60, 0x8b5373a3, 0xd07c1bce, 0x224dcfb2, 0x5dc87789, 0xc7b40ed6, 0xb673e823, 0x5fbc3745,
+    0xa58aee3f, 0xd10b59e7, 0x8074fd0e, 0x90491d5e, 0x8bc3dfcf, 0x470a77da, 0x75c8544d, 0x0ac55459,
+    0xd8085191, 0x6e2dd126, 0x8474a79b, 0xcd1158e0, 0x2f6a2da0, 0x2c4b170c, 0x1dfc658d, 0x5fcc240e,
+    0xa219755b, 0xe7929180, 0xd3b5243f, 0xcc9f2670, 0x57017d9e, 0x76362410, 0x48bcfe41, 0x3ba06348,
+    0xf05d8a5e, 0x42cecda2, 0x9a407502, 0x40fffe62, 0x3603064f, 0x165bb267, 0xc78f65d0, 0xfcb8743e,
+    0x7a8e6a01, 0xfcbbc840, 0x081c0fe9, 0xa254a6ff, 0x190cfa5e, 0xe384451e, 0x01053235, 0xf31601e8,
+    0x7feec23d, 0x11f5b4e9, 0x2e598141, 0x7a8c4207, 0xda8945d2, 0x862fb125, 0xae059cdd, 0xd62629f1,
+    0x668776b4, 0x6dda43fe, 0xdd80935d, 0x3fdcd87a, 0x292d4a32, 0x716597a0, 0xe79569d9, 0x76c47e6c,
+    0xfeeda624, 0x100528c7, 0xd3bc6f19, 0x1cd83e82, 0xc728d275, 0x0cd4884d, 0x000e0f27, 0x15f033e8,
+    0x09b9ed1f, 0x639cd187, 0x0659fa74, 0x66bddf6c, 0xfd4bd9a9, 0x61d45431, 0x799e089c, 0xd1782c08,
+    0xba9e582e, 0x79cc0874, 0x8ccc4713, 0x8bd291d7, 0x41b7d379, 0xf6066c2c, 0x3f6a4da0, 0x863f952c,
+    0x28f54c03, 0xa8789ae2, 0x6581a02c, 0xf8bbdb92, 0x8e55e7d8, 0x72556d50, 0xef6b7d6f, 0x701c2d30,
+    0x2e2be897, 0xd6bb93ac, 0x12c22a38, 0xed040d15, 0x3acff8f5, 0x40378ade, 0xd31048b8, 0x254b6d01,
+    0xee410d8d, 0x244c4cae, 0x3f1b06ff, 0xdee6f52a, 0xdddfaa04, 0x390fd647, 0x68819732, 0xf82b8ef0,
+    0x21230486, 0xff8fe5e8, 0xc3e262d6, 0xe9f65d4e, 0xd492eab6, 0x7bae2438, 0x4ee386d9, 0xda8a7fdf,
+    0x34e40cd3, 0x14948a73, 0x94e9fbc9, 0xcb0edf2d, 0xfc60a31e, 0xc7680fbc, 0xa8f4d7ca, 0x2e1ff9d8,
+    0xdcffd713, 0xcfada54f, 0xe55c15ae, 0x266c12c2, 0x628f83be, 0x406f9076, 0xe0ecbead, 0xf0279ee9,
+    0x31c5486e, 0xeb2cf1dc, 0xbb236e43, 0x4f99d2fc, 0x1eb545b6, 0x7aa61e63, 0x16dbb1b7, 0x067a3b58,
+    0x1f72033a, 0x3e561fe3, 0xb9a914d3, 0xeb5a3aba, 0x4895e1d7, 0xb6da6def, 0x686dc5dd, 0x42ddcfe0,
+    0xe0d18faf, 0x157b37ff, 0x2bb55e55, 0x385dc1fc, 0xd051561e, 0x6952f34f, 0x5a640915, 0x6136bcef,
+    0x2af62c90, 0xb138b3e3, 0x11329dc1, 0xff7ef39f, 0x0949aa30, 0x67a4a688, 0x33f6ae70, 0xe314e027,
+    0x00000000,
+    0xa0cca1fa, 0x105cf0b3, 0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f,
+    0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000155413511\
+                         37805832567355695254588151253139254712417116170014499277911234281641667985408 */
+  { 0x00000000,
+    0x9e5a594d, 0x00cba0f8, 0xd0e6be08, 0x90055dba, 0xa5d4c10e, 0x8ca70663, 0xae150280, 0x0bd3f825,
+    0xa5d5f894, 0xc2c51260, 0x5b6f4e93, 0xd65b22ca, 0x4c2971e9, 0x4ebb572e, 0xadeb8907, 0x04179b8a,
+    0x5f567dfd, 0x7c3e86c2, 0x29ed99fc, 0x317b7511, 0x2ea9bb21, 0xa093bb41, 0x03fb1efa, 0x836433c6,
+    0xe3bed899, 0x08d70226, 0x12b9db2e, 0x35d1a2b9, 0x87ddbfda, 0xc6b7e247, 0xe0a5fa1c, 0xd78464da,
+    0x80f07050, 0x320d26e6, 0xc2c0c9e3, 0x9a681c65, 0x1af5006e, 0xd7eea39a, 0xa0d7fa91, 0x255dc7fb,
+    0x8026b55a, 0x0a47ac11, 0x46598f1a, 0xd595bc55, 0xf5c7c4c7, 0xdc22dd9e, 0xe292a150, 0x9679b31b,
+    0x72f27283, 0xe3e6883d, 0x6d238fd8, 0x6f457210, 0xb1ca4801, 0x199eb387, 0xf8b3a92d, 0xde83806f,
+    0x3124e54c, 0x35a8f52b, 0x2ae52d4f, 0x5e21e3cb, 0x520da54c, 0xb28f9305, 0x949a5282, 0x2a708998,
+    0x8587a41d, 0x66aeb1ba, 0x53836d97, 0xcd9b039b, 0x9c6f500c, 0x26a42569, 0x95b29cfe, 0xa8981f11,
+    0x72cc0c0a, 0xd1f857c0, 0x6455cd77, 0x77043866, 0xe63541f5, 0xc13f2549, 0x3035e9be, 0xb4c38a11,
+    0xf39381b6, 0x83aba487, 0x6018d8c0, 0xc6c38ac1, 0x6728d8ae, 0x62599f67, 0x8eac23eb, 0x16c5e383,
+    0xa1f29efc, 0xec29fab5, 0x39e4d20d, 0xf88dca80, 0xb3bdf032, 0x594e0fca, 0xb4c950bf, 0xa94cee2d,
+    0xbecb4ed1, 0xdfd292c1, 0x82569e9e, 0x832316e4, 0x756fdf8d, 0xc21a3f9b, 0x4c3a4f18, 0xa7c0029c,
+    0xc6810172, 0x076ae02e, 0x43bfc879, 0x6ecce6bd, 0x8bf3da49, 0x0bf28555, 0x6b411fa3, 0xb47413d1,
+    0x677dff83, 0x07a074fa, 0xc20e1c15, 0x8899c03a, 0x2a9d9c2c, 0x8fdb569f, 0x3e34514d, 0xa8182b41,
+    0x738bff34, 0xc0a0a1ad, 0xca169cf5, 0xdbf9d95d, 0x5980d0da, 0x92cf83e5, 0x55405f88, 0x9ac90b0b,
+    0x7b4a1ea8, 0xa00da33d, 0x59bbe5f6, 0xef5c6dc8, 0x6259aa08, 0xfa5e53fb, 0xa00ff395, 0x02e81bd3,
+    0x177a192f, 0x2234bfb1, 0xf7058873, 0x698a4cc2, 0x294a48da, 0xb8232f32, 0x1c30c665, 0xd7e05a84,
+    0x1609643a, 0x55340ae3, 0x0e58e5da, 0xac19572e, 0x22919aaa, 0xa8b2405d, 0xba56ef85, 0xd875aee4,
+    0x308cb670, 0xc95b9ea2, 0x80926c49, 0x104b8ea0, 0xcde1faf0, 0x79473efc, 0xa7655cb9, 0x293a2238,
+    0x644e3ed5, 0x562f70c8, 0x97165272, 0x7534a4dd, 0x2acbc341, 0x771a3f20, 0x947c6726, 0xba275152,
+    0x08fb4636, 0xbf9f4155, 0xaf061bee, 0x1f8b58ab, 0x51258f7a, 0x952df721, 0x92b641ee, 0xdf851d14,
+    0xeb68bb38, 0x858b45fc, 0x8a8750e3, 0x80476613, 0x0b995f83, 0xae04ca3e, 0x32c879cc, 0xf4ed61ff,
+    0x9650544a, 0x32dbb348, 0x420ad73a, 0x7842821e, 0x885d9936, 0x06ea1047, 0xaebfd10f, 0x1fb6d5d7,
+    0xec2e921c, 0xf32a2171, 0x8a7a234a, 0x36e3a4ca, 0x4b79f4cb, 0x3fb8f23b, 0x9651a4dc, 0xe325b3cd,
+    0xa1ec87b8, 0x19382198, 0x0d4ee9b8, 0x9a70cd88, 0x44316011, 0x62f2984b, 0x8a4fa319, 0x0e476a90,
+    0xd305438d, 0xa19ea4cc, 0x9cbd5864, 0x52f7793e, 0x2b62a657, 0xde2a6e38, 0x5889bc6b, 0x027b4ac3,
+    0x230f9980, 0xb00a23f7, 0x2a16e8dd, 0xf4f4fcce, 0xdee54ed0, 0x50700ca1, 0xc34ea677, 0x8b1f35ff,
+    0x089a8b2b, 0x4b19ee2c, 0x7c9a0f2e, 0x6cb45c1d, 0x4447642c, 0xd9b1418a, 0x7d0e376e, 0x62140cd1,
+    0x19542878, 0xb91660ac, 0xed240e86, 0x42bcb529, 0xa43721ed, 0x16295662, 0xa43b44be, 0x8923f7f3,
+    0x8afdae76, 0xef44a747, 0x7b69244b, 0x4ea4a5e4, 0x12e6f9dd, 0x6ab95eb3, 0x06587d45, 0x62f88cbf,
+    0x1dd1b28e, 0x678c2c6a, 0x8d5635c6, 0x991e2ed3, 0x81598e71, 0xf4163913, 0x86bfd363, 0x52707092,
+    0xe096e7dc, 0x0717aeaa, 0x1590f0c5, 0x35ecd704, 0x3a24329a, 0xc162329e, 0xcb6f9538, 0xacf0bcb4,
+    0x5b3f34fa, 0xc7015c08, 0xbdd1172b, 0x642cabe7, 0xd72ee73f, 0xb0388d4a, 0x258eb72c, 0x62e1c779,
+    0x1d6b90aa, 0x9e62890a, 0x02727b47, 0xc7042262, 0xbade1549, 0x6d997b38, 0xd721660e, 0xeb16274b,
+    0x8cce52da, 0xb8b10200, 0x13b06c73, 0x817166e5, 0xc0f88f25, 0x2b8beb22, 0x84e10c7a, 0x98f937cc,
+    0x7b91ac28, 0xaf483574, 0x24275a58, 0xb4e401ca, 0xa908ad0b, 0xac1b2870, 0x7b6c6e37, 0x119319b4,
+    0xcda2838d, 0x5cdd53c0, 0x6cdfb73a, 0x2ab16353, 0x03774e98, 0x0e2743a5, 0xc1380662, 0xb3d1d32d,
+    0x46343b01, 0xb4247dcb, 0x7d23a593, 0x9c7d6cd0, 0x0e1977b6, 0xec200c5c, 0x8952767b, 0xedac768a,
+    0x0b6ec488, 0x57f2b45c, 0x82a0659d, 0xf15b44ab, 0x1fd51610, 0x0a4af900, 0x3e05d7bc, 0xd764aceb,
+    0x7f47e5e0, 0xb7f75cee, 0x82a3ec61, 0x764559ee, 0x537c59a3, 0xb5a3114d, 0x254bf634, 0x979744e0,
+    0xd48e901c, 0xf31fa50e, 0x91677006, 0x4ea5e95b, 0x4040ae61, 0xff5452ad, 0xd14f78b6, 0x0fd89f58,
+    0x59728842, 0x3c358603, 0x445344a8, 0xfc56e361, 0xbc3847de, 0xf6714590, 0x9e226444, 0x698c59d7,
+    0x9eb85dc7, 0xeab4747d, 0x0339e9e3, 0x1b9a91ca, 0x0ad6dcab, 0xe32336a7, 0x50b348fd, 0x16d64af5,
+    0x61438bc2, 0x9c346faf, 0x672bcab4, 0xbaae065c, 0x3d3ab72c, 0x77363c6e, 0xa8f64386, 0xb6d11b26,
+    0xa052475d, 0x50be982e, 0x9996b43a, 0x135b1e78, 0x76fa1854, 0x05a2e27d, 0x0d92d0e8, 0x3d83f97f,
+    0x19a19a19, 0xf613fc33, 0x2742b780, 0x0b800d46, 0xb5e7477b, 0x02821e67, 0x77f0d166, 0x4addfd05,
+    0xbfb51cf8, 0xf5dccaf0, 0x256634ba, 0xd4f31765, 0x91d4e9cd, 0x58bd227a, 0x4379ad8a, 0x9948bdf2,
+    0x0939be3b, 0xcbd49d35, 0x845209d3, 0x29057f6b, 0xe5af237f, 0xf550c3bf, 0x94c86568, 0x810da96a,
+    0x5f88b939, 0xee9b984e, 0xb959efa7, 0xa5195b5c, 0x1b100b5f, 0xeee3c775, 0xa9aab0d5, 0x5dca6e6a,
+    0x49eccb7e, 0x66015e13, 0x8c8f8831, 0x81e3d067, 0xc398f1fc, 0xdc4600ff, 0x0b1e7901, 0xe0c5dcdb,
+    0x92530939, 0x1392c74f, 0x220d5726, 0x3f4531a7, 0xee9f68c5, 0xcc798685, 0x720f9d58, 0x7cf4c32e,
+    0xd7c72a1c, 0x989140ce, 0x25bb1dc1, 0xc2f17e24, 0xc3372540, 0x5b639acc, 0xcfa68236, 0x1ddc197b,
+    0x3985a5ae, 0xcec1130b, 0xb4c2c54b, 0xa7625e83, 0x7e53cba3, 0x4c4b3240, 0x85f1c94a, 0xe5834941,
+    0x78b07e93, 0x921ab06d, 0x34b611ec, 0xa4b03939, 0x54b0ab4b, 0xc8e1c863, 0x1f1538fe, 0xee8ff839,
+    0xa1b5ed04, 0x9768ec36, 0x911f85ef, 0x1a11b049, 0x823a11d9, 0xacfff80c, 0xbda8a16d, 0x8882c89a,
+    0x2dab1c64, 0x303ec48b, 0x37e79b66, 0x65f5f0c3, 0x18aaf545, 0x1b47a618, 0xf7fc9941, 0x4cf8f82f,
+    0xf44cc161, 0x56171f9f, 0x6d5db9f3, 0xedcdc14e, 0x4088aa42, 0x0b4802d3, 0x6b906cdb, 0x5703dbc4,
+    0x60c193db, 0x9ca5bd24, 0x248fe20f, 0x2ff539b5, 0x63bd3c11, 0xc706a16e, 0x885c3913, 0x7fa3617b,
+    0xa6b3d4b3, 0x442b8006, 0x6a27105d, 0xd92db0ce, 0x57d2e66f, 0x0b071a03, 0x23de1655, 0x79871ca0,
+    0x36a117b5, 0xfc6ac337, 0xa407c2d1, 0x721c155d, 0x0eb01fbc, 0xc3b6e9c2, 0x60793680, 0x637a9f62,
+    0xf44af55f, 0x9599f9d8, 0x385e87e8, 0x0f7e461b, 0x55bc6d71, 0xbd7ffaa8, 0x21183cbf, 0xd9440738,
+    0xfdfbf23f, 0xe66bed67, 0x7799cf08, 0x5f97655a, 0xe066c313, 0x1ec0f7c8, 0xfaddad15, 0x849b5db2,
+    0x29f7353f, 0x96ea40de, 0x0499176f, 0x700248bf, 0xe3710fc5, 0x47969248, 0x74585c7c, 0x9b3e7725,
+    0x6d078bb0, 0x4d169179, 0x4ccd621e, 0x41841da9, 0x4789fcd6, 0x17b807d5, 0x32246d7b, 0x677a7c79,
+    0xac8ee38c, 0x54e3f78a, 0xf88e61a9, 0xc464e6b6, 0x703c03c3, 0x65fe19c2, 0xf0b311d7, 0xfe756685,
+    0x53792913, 0xdda27672, 0xf43c37b5, 0xfb23d834, 0xa45ead41, 0x12a47163, 0x461d4398, 0x93ceffc9,
+    0xbcb32e0c, 0x455f43bf, 0x990f4b60, 0xf5853231, 0xa5cda7f8, 0x3fb30747, 0xae1a5d13, 0x182e75e9,
+    0x6834bc12, 0x63b6cd39, 0x3dab9231, 0x159729f9, 0xb4172248, 0xb85454c8, 0x05b66257, 0xe0f2a2b3,
+    0x8637b34c, 0xca65429b, 0xaa76e902, 0xefedcadb, 0x96987e43, 0xa2c6d0a9, 0x9336881f, 0x30369157,
+    0x66b31f9b, 0x015def24, 0xc9efcd34, 0xbc0fbdc5, 0xaaa568a3, 0x22fcbfdf, 0xed627028, 0x8debdfdc,
+    0x838c235e, 0xaebf146c, 0x9e64bd97, 0xa74ce69c, 0xca7ba960, 0xa19d4435, 0xe3602bf7, 0x719eb1ec,
+    0x657117dd, 0x1849e01c, 0x6f7c46d0, 0x6871bd49, 0x4a744be7, 0x63e7734e, 0xb4de8aca, 0xa40eb33a,
+    0xfffeae21, 0x3d69b453, 0x086b61c3, 0x5d702be0, 0x25b1db8d, 0x63175181, 0x7db9246b, 0x7c6661a6,
+    0xa7315ccb, 0x60223d04, 0xd2d760e4, 0xbf0c2542, 0xebb9a0f8, 0x5b1ce545, 0x72d8736e, 0xccaa7503,
+    0xa3c8f95c, 0x81b349b3, 0xcbe95f4a, 0xf74fd106, 0x1c2840e0, 0xb70ffc22, 0xabd1e8dd, 0xd7c22df7,
+    0xecfdba2b, 0x7fdebd34, 0xdfb9992c, 0xd0236966, 0x097fa36f, 0x19c26356, 0xe598f8d9, 0x382a27d3,
+    0x038ce45b, 0x968f7796, 0x86c0d8ff, 0x8e5f933c, 0x168a6ee3, 0x35faeb96, 0xc9aed2ae, 0xee61a1a4,
+    0x0763f3a5, 0x79d1e263, 0xc0876961, 0x906d28eb, 0x85711f6f, 0x125f3737, 0x7f8972c4, 0x14d4ae92,
+    0xe78c92b2, 0xaddabd05, 0xaec653cd, 0x70ffc3cd, 0xad5939ee, 0x4735f7c2, 0xbf228b4a, 0x5539110b,
+    0x46538e67, 0xe542c455, 0x9bef0343, 0xe2b8721b, 0x7fb9194a, 0xefe6e54f, 0x07335bff, 0x7f61df00,
+    0x8346694b, 0x0695343a, 0x2f9d0061, 0x12f79596, 0x04df2177, 0xea0e606d, 0xcccd4460, 0x1486cba2,
+    0x8ff2facc, 0xbf48041f, 0xdcc99a27, 0x0bb31319, 0x5330b805, 0xb23aaa66, 0x0eb77610, 0x945e7a3f,
+    0x14be51eb, 0xd62162b7, 0x7fe54e47, 0x24834c34, 0x372b58d7, 0x71e5bb5d, 0xf3be34a8, 0x292291cc,
+    0x7683604c, 0xd74ba06f, 0x227b2bf7, 0xd58b53b2, 0x9bd749d7, 0x6d0f07c5, 0xb24abc1b, 0x98477f26,
+    0x1220c54b, 0x3fac767b, 0xdfe74ee8, 0x5e7b0faa, 0x555f9d11, 0xb0f77089, 0x3b2b7c1d, 0xc7fe5083,
+    0x427b475e, 0xe17d5507, 0x8f6deee0, 0x3f77d679, 0xb801e3ad, 0x600ac67b, 0x5e819313, 0x63d08996,
+    0x2ec96647, 0x05e06dac, 0xbbd5c42b, 0xb69953bb, 0x41ed343c, 0xaeebe915, 0x92ae9861, 0xa738c9d2,
+    0x15e7b60a, 0x2790bba7, 0xec704017, 0x589e1789, 0x4ac6a23a, 0xc97636c9, 0x3c389453, 0xc3fa3698,
+    0xf57c76d8, 0x4eba6d7c, 0xd97afbf1, 0x0fc6a1d4, 0xc3b9e7ab, 0x4fefd22b, 0xbdfb6893, 0xa3940e8d,
+    0xf65955bb, 0xcc19f59b, 0xc7f90a4b, 0xa2ccb406, 0xfb7b776c, 0x9dde2059, 0x8d3d96fe, 0x0549b5d8,
+    0x98e81679, 0xa6efc726, 0x6b849782, 0xa6ccf09a, 0x191db751, 0x8c42d940, 0x32ec1b28, 0xaac6f928,
+    0x9212789a, 0x2992ede8, 0x847b94b4, 0xa4ff7603, 0x051ee319, 0xf3d1e966, 0xb00842ec, 0x58e989dd,
+    0xbec71746, 0x79184912, 0xb0fa36fe, 0xa7eb8488, 0x2109e05f, 0x720e6d5d, 0xc248bd71, 0x4a5be97b,
+    0x3e9c6792, 0xffdf05f8, 0x7e56547c, 0xd47e8a04, 0x0aeab991, 0x6bc32c56, 0x36a3f299, 0xe6a91663,
+    0x89dfed8b, 0xede3d71e, 0x2dbf5d2c, 0xd008fa6f, 0xff353a4a, 0x8be16de4, 0x74ed3870, 0x719c155f,
+    0xa2b93e16, 0xe1031d28, 0xfd6e9fea, 0xe804d5e0, 0x21d4b07e, 0x5ab33e33, 0x97aaae00, 0x93c8999a,
+    0x003ec22f, 0xe47166d0, 0x9bf7066d, 0xf09ca0f9, 0xa6a72398, 0xa3252d24, 0x2b87cd4d, 0x2743b9a4,
+    0x4b3ee4d3, 0xe92bc412, 0x37c20850, 0x3dde15b4, 0x005475ce, 0xfc532268, 0x61fccdce, 0x1098482f,
+    0x75541fdd, 0xeba83851, 0x8c9d03ec, 0xbc17c2a4, 0x57ae2964, 0xa181483d, 0xe2b6d0be, 0x187b3c71,
+    0x7047c3a7, 0xec596c1e, 0x554aa55d, 0x92fba4f0, 0x50b9ba81, 0xd460f98b, 0x8368a2f3, 0xe230ad1a,
+    0x1fb930c3, 0xde28893b, 0x53705a55, 0xd49e996f, 0x6a514804, 0x96e5b204, 0xdaaeb73b, 0x11ea111c,
+    0x9508d913, 0x6f3da501, 0x6ec7dbe7, 0x9aceee2e, 0xf6b4adeb, 0xcbf0e263, 0x9db3e953, 0x2daddfb9,
+    0x375876f9, 0x7311e607, 0x60203537, 0x250dc0dc, 0x7d91446c, 0x2abe7ed6, 0x252d276f, 0xb06eaadf,
+    0x7cdb37dd, 0x52b3a88a, 0x5d28d441, 0x0f94caf2, 0xf5d1ee90, 0x840b5e1c, 0x028c901b, 0xfc0f78ae,
+    0xb18dd235, 0xfdb6062e, 0x69d61659, 0xe6faf457, 0x69baa9d6, 0xad69d727, 0x32bcb989, 0x1ea285eb,
+    0xc80abf5b, 0x0b7b5122, 0xaee35b74, 0x2a344834, 0x678aaf0d, 0xad3c4835, 0xd19a6901, 0xaf2cf625,
+    0x6804515c, 0xa5f00b6f, 0x751decfe, 0x96af3761, 0x2b5e8240, 0x2fa2db3c, 0xe292beb1, 0xd83b7e48,
+    0xca4155e9, 0x1949250b, 0x5e06e90c, 0x6c367d32, 0xda6dc192, 0x5e9f226c, 0x82416335, 0x4ac1b9d2,
+    0x84e81e68, 0x2efa3180, 0xd9ff76bb, 0xf339e856, 0x7078befd, 0xa9532bbb, 0x235531d6, 0xc2abf07c,
+    0xc3c7ea77, 0xd6e025cc, 0xdc29d5e0, 0x9527442d, 0xe7df412e, 0x9c25ba8e, 0x4699c76b, 0x72519a52,
+    0x2d146620, 0x30c8e8d4, 0x5df89372, 0x1dd4367e, 0x801be17b, 0x74c0ef77, 0x82cb8468, 0xf4b372fe,
+    0xa15eec30, 0x4a053b14, 0xa3860f0f, 0xcb77a173, 0xf74f8c09, 0x883e5fad, 0xa812c942, 0x59f62a22,
+    0xe7e0df07, 0x202189c3, 0x28c021ea, 0x98840bb4, 0x42bcb721, 0x155cc51c, 0xa6b9cc8c, 0x9e1df487,
+    0xa062fd42, 0x265c2439, 0xbc8e626e, 0xb98d1772, 0x184679e9, 0x8e4f9418, 0x3ee4c31c, 0xf6346491,
+    0x8f4ec54a, 0x6693e531, 0xca84d035, 0xcb1af624, 0xf6497825, 0xfbc42bb2, 0xe0273a72, 0xd630e9ed,
+    0x6558cd3a, 0xf6f44b0b, 0xd84d266b, 0x5d131736, 0xfc8ac715, 0x44083b7e, 0x80436025, 0x37bbb94e,
+    0x5d1407b9, 0x6e841b26, 0x828c4b80, 0x7fe9867e, 0xdffde276, 0xe2a9cd3a, 0x9ba32f44, 0xaf98f1ae,
+    0xe416ba33, 0x12dca155, 0xe44cebaa, 0x12b2599f, 0x034c09bb, 0x61ed1716, 0x7e9eb9eb, 0x3d6a758f,
+    0x0bca1a48, 0x77171dd7, 0xa3893ec0, 0x316f6b12, 0xc5ea2a06, 0x949521fc, 0x6796e0e5, 0x6afa2d11,
+    0x5e4f0c38, 0x0f2de8e0, 0xf3aad9af, 0xdb14d611, 0x99dbbe0b, 0xb29cd845, 0x58dc556f, 0x976e6620,
+    0x8d08ade1, 0x5fbd56ce, 0x293cb286, 0xb81c8ce7, 0x55e16ff1, 0x33c3cf77, 0xcbd68e57, 0x31f23221,
+    0xafdf008c, 0x51c19fd7, 0xfc4e3383, 0xb06f162e, 0x7e31e256, 0xfb382b8a, 0x714ecb71, 0xef424723,
+    0x01779f79, 0xedb73f5c, 0x8bda2f25, 0xf2d96ab6, 0xe9a17dc1, 0x2b7145cf, 0x77570ad6, 0xcd6357e9,
+    0xbfb81d7e, 0x1d93a5b2, 0x1a15558c, 0x3809b32f, 0xfc2f1640, 0xe79c7cf4, 0x07bd84ad, 0x6407c60e,
+    0xb1f4c447, 0x822b050a, 0xb1621753, 0x0855a833, 0xeba4d5fc, 0xd21a1801, 0xfc68ee28, 0xf11b8bc8,
+    0x00000000,
+    0xd06650fc, 0x082e7859, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af,
+    0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000077706755\
+                         68902916283677847627294075626569627356208558085007249638955617140820833992704 */
+  { 0x00000000,
+    0x00274975, 0x14178ee3, 0xaf6d0a34, 0x2471b755, 0x4ebfd1c9, 0x53588c82, 0x2853446e, 0x78b86139,
+    0x12993304, 0x1c36be39, 0x51fa25c9, 0x0661a22c, 0xf29a0cce, 0x725ab8f4, 0x9dd366ac, 0x1ba290c9,
+    0x3e9f2fa7, 0xbde24077, 0x6cc5881a, 0x0ede271c, 0xae4de7bf, 0x3ba48af3, 0xdbbe3621, 0xb4d26018,
+    0x8f26436d, 0xfc0617a7, 0x1237cafa, 0x2dc2ad48, 0xb94e3dfd, 0x3049b125, 0x04379270, 0xeed321fd,
+    0xff7d5471, 0x8ffa7790, 0x8f156ec5, 0xd786203d, 0x98c93c7a, 0x579675a8, 0xb903bb14, 0x1cd20e70,
+    0x1d38abe8, 0x2369dd4c, 0x94bdf1ec, 0x7d037b91, 0x113c2737, 0x83760118, 0x020baa03, 0xfd27dfea,
+    0x72b298db, 0x1d6a787e, 0x469297b3, 0x95efb87a, 0x2595fddc, 0x4fef3449, 0x42386af6, 0x05e9faaa,
+    0xa3bf9976, 0xe24e4851, 0x55ac67a4, 0xe1f9e075, 0xf7b5f275, 0x20d781dd, 0x92a9b358, 0x315c30bc,
+    0xd8a20686, 0xeb462aaf, 0x11734d37, 0xd1102e1a, 0xd0a5c6ca, 0xd0795f8b, 0xd810ac5b, 0x200ce8f4,
+    0x40c23fb8, 0x0e306412, 0x12302149, 0x55242e5a, 0xba79f1d3, 0xd5db0825, 0x1afba751, 0x365f9cf4,
+    0x678fab53, 0xd3635a13, 0xd9205d36, 0x47686045, 0xea018607, 0x525a1cd0, 0xf19612dd, 0xdf657e8b,
+    0x5cd530e3, 0x0d2b87bd, 0x54d9032f, 0xda6d7358, 0x218c1e1f, 0x57170dcb, 0xdfe3e47c, 0x506a2ca1,
+    0x6bedfe50, 0x14f585da, 0xc61e2e11, 0x1aca481f, 0x827dc3ce, 0xa68ef816, 0x66f0e6e3, 0xf4b2baa3,
+    0x4fad99c5, 0xbfa47893, 0x09ea7727, 0x8c0b5f1c, 0x4d05f6a4, 0x87d9714f, 0xa7ee7c51, 0x35ef3950,
+    0x82d01220, 0xae9bbb47, 0x68f1dbed, 0xa6aad37d, 0x8922254a, 0xeb7d0f8d, 0x9223a74c, 0x05154bb4,
+    0x3f19d5d7, 0x399351af, 0x2965710b, 0xf48ef29e, 0x63a3da35, 0x2acbe3cf, 0xba879c07, 0xf27c0612,
+    0xac7f6ebf, 0xdbf22175, 0xbf59d42f, 0xd23f2114, 0x177aaa81, 0xf1a3fa3b, 0x5182b184, 0x14f2e35b,
+    0x46d4b876, 0x9028dfca, 0x6d6c2489, 0x108a8ba2, 0x57fa60d8, 0x4f0e4fbd, 0x5c31c901, 0xbc31d2bc,
+    0x2430fd22, 0x66780fd2, 0xd7e56ea8, 0x0c962f17, 0x243303f4, 0x38852aed, 0x09116763, 0x0c50d8b0,
+    0xa86a8b4a, 0x7bce2718, 0x98c22845, 0x353ffced, 0x6d94d79e, 0x2c683575, 0x931a34aa, 0x7dcc00b7,
+    0xa719b38c, 0x1a1e0317, 0x436f49c8, 0x7cc8f14e, 0xcc71d0f3, 0x047046e5, 0xd22ed255, 0xccf17e3d,
+    0xb6de3a59, 0xa7158b52, 0x01070584, 0x4b745033, 0x9e73b989, 0x09639b6d, 0x6b09eeb7, 0x59867e43,
+    0x97e30a00, 0xd16d4280, 0xa8a3eb86, 0x48e4e809, 0xca61296e, 0x74f5dd1c, 0x3d6570e9, 0x439adb49,
+    0x78cc531b, 0x3c27b59f, 0xd19faa55, 0x2ba8f634, 0xa159d2a0, 0xc170a3b6, 0x31eaaba4, 0xae70532e,
+    0x074c3739, 0x43dc2e64, 0x52784107, 0x8b345eab, 0xa2e0a240, 0x116c236a, 0x2d698587, 0x9c4d62a5,
+    0x43b63ea8, 0xefa04fcb, 0x0a38cd91, 0x853f7179, 0xc7d77dfd, 0x73d3acc6, 0xbad12b7c, 0xdeaf622a,
+    0x00558498, 0x50fd0b17, 0x62e5157f, 0xac77df0c, 0x0c06d06f, 0x2db58231, 0xe124828f, 0x4a01122a,
+    0xe86fc53e, 0x8f8b61ea, 0x5b58bf7e, 0x08ffa742, 0x3119e6aa, 0xdfdc7de9, 0x25f593ba, 0xdddaafc8,
+    0x821229eb, 0x04194de0, 0xb10a88b8, 0x93980b5c, 0xcfc0a7c9, 0x4f22fc1b, 0x95965a68, 0xdf776d0f,
+    0xa502e95b, 0x79151223, 0xb130301d, 0xfdfbc576, 0x76d8c20a, 0x0222e472, 0xf5a2a312, 0x0920b345,
+    0xf3e6b556, 0xe8c60ec6, 0x13e8f34e, 0xe0de94d6, 0x36ffc075, 0x5ea58297, 0x62c0f0e3, 0x8581bdc7,
+    0x2d357ced, 0xebfa083d, 0xaf446fee, 0xc1d13cb5, 0xa2841402, 0xcefb9b3c, 0x96325cdf, 0xc04e937d,
+    0x559028c0, 0x680f52f0, 0x1da15589, 0xcd857dd6, 0xe9e4d758, 0xf2b04239, 0xc12868ed, 0x50b1c1f4,
+    0x3eaa3e89, 0x54890968, 0x4c4c4c52, 0xc0052afb, 0x72298c33, 0xe43859b7, 0x44d8f420, 0x65dfa2a8,
+    0xa9844935, 0xcd89190d, 0x29bf1b0e, 0xf27311ab, 0x95fb196f, 0xbcdcc767, 0x4bb219eb, 0xa5661aaf,
+    0xf891d3bd, 0x983cd56e, 0x6301f981, 0x54543f5e, 0xeabb974e, 0x7af1b8f3, 0x097f33be, 0x4dfa9128,
+    0xad03764b, 0x228bca47, 0x2631384f, 0x04805882, 0xfd556472, 0x4ca4e806, 0xc6ed54fb, 0x4d7ccf52,
+    0xcfbd288d, 0x1a3ca7b5, 0x8d66bf91, 0x87808b1d, 0x3ade12db, 0x75df9972, 0x610be946, 0xea484cce,
+    0xf8bee099, 0x605f0278, 0xa3a095b7, 0x59402193, 0xf48fdaac, 0x5b1d8c9b, 0xd0ff0be3, 0x3d410765,
+    0x5ad9c30f, 0x2caa606d, 0x3d9f3fc6, 0x745bb48f, 0xd9b9fc64, 0xb0eaee57, 0x5e17199b, 0x6011fc21,
+    0x31d5bd6a, 0xabdcc1af, 0x6902d323, 0xf97a2440, 0x8be7bd23, 0xd7f278b9, 0xd403415a, 0xa0965d0d,
+    0x1be7f9c1, 0x9870d982, 0x20f41aae, 0x843fc885, 0x21f61cdc, 0x9b914935, 0xf1029adb, 0x4b9eedc8,
+    0x08d41b5d, 0x06e537f9, 0x5b542cb6, 0x1a7428e2, 0x30c31ee1, 0x13bc5d98, 0x401031f7, 0x73c5a59c,
+    0x52a325e7, 0x99b2915b, 0xd92a2732, 0x8bddcc5a, 0xc7b07eab, 0xd8e59e51, 0x70297e94, 0x0f2c5190,
+    0xe6f92f22, 0x6e2a3a5c, 0xdbed1bf2, 0x30994255, 0xf7f671d5, 0x77772858, 0xc943c7aa, 0x4a847c49,
+    0x995cea5d, 0x22798d00, 0xd71417b8, 0xb91a04fe, 0x45045585, 0x878c2812, 0x2a57f5c1, 0x7d726281,
+    0x9f975ff1, 0x9e28a4d7, 0xac4cb2e5, 0xfb44b6c9, 0x194f5079, 0x2a530692, 0xb2b64186, 0x38cdcbf4,
+    0x3e698292, 0x75025aab, 0x9cedec7e, 0xa2a43f80, 0x3296b025, 0x3c97a74a, 0xbf313d7c, 0xff4bcf8f,
+    0xa4e24e03, 0xd0097e3f, 0xc2b07f6c, 0xc6397ffc, 0xd53d65c0, 0x5eff798d, 0xe1860e8e, 0xb6cc7c15,
+    0xde1334f8, 0x67f9cfad, 0x7171c83f, 0x3e4c34ec, 0x4ba85d63, 0x62f0f622, 0x3175dffd, 0x1ab01e77,
+    0x60f09d62, 0x5bc523fc, 0xb6e77f82, 0x74b2ef0a, 0x16e1def7, 0xfc607213, 0x8ebe8030, 0x1e79b019,
+    0xda475497, 0x41e2dcee, 0xfe08648f, 0x90c2003b, 0x08e767b1, 0x004e399c, 0x5ad8d6b3, 0x4e5f53db,
+    0x21adcada, 0x15332449, 0xab7e831b, 0x682ad0e9, 0xaee40335, 0xbe15ee4f, 0x3f6d05a5, 0x162602dc,
+    0x5c2e655e, 0x95cd6f9a, 0x7a77335d, 0x3f20e918, 0xdad4d20b, 0x08c1061a, 0x144a4ef0, 0xa8b342f9,
+    0xcf0c4ee9, 0x3417d843, 0xdd9d2592, 0x1365688f, 0x37d3d914, 0xc514a367, 0x3fc5cdf1, 0xaa82962a,
+    0x00c78be8, 0x8b267794, 0x05ad53c3, 0x6cf9ff58, 0x4715bb5a, 0x22c0f33a, 0x96f880af, 0xf0d0f051,
+    0x25833bd8, 0x249ec6a9, 0x0e809f0c, 0xe6bf0b3d, 0xbffb9072, 0x561ccd5c, 0x9daf525d, 0xfbc77dcc,
+    0xac49fef5, 0x18ed378a, 0xee24deda, 0xa5a65c6e, 0xb6d2f594, 0x483bf4e6, 0x3f1d8c79, 0x5252a8f8,
+    0x6e67db1b, 0x92aa0cd4, 0xbf025017, 0xd0a7886a, 0x960ac09d, 0x659f9f8f, 0x48e6d336, 0xe0043772,
+    0x86f49b1f, 0x23bbb7c6, 0xbb5b6441, 0xf3ac3484, 0x5e54c3ab, 0x92d3a1cc, 0xcaaf250d, 0x58d68173,
+    0xac8adbd5, 0x51bc8f2d, 0x3190bed6, 0xd61a35e5, 0xacbff948, 0x219bc592, 0x9a0c8937, 0x29e50d19,
+    0xa09b9b85, 0xc7ad0711, 0x99dc8980, 0xa4bc9745, 0xc8ed2852, 0x056a09f1, 0xc31d3ff9, 0xe4acbd91,
+    0x5d254a2f, 0x8bdbb310, 0x1ae343ac, 0x52edfce0, 0x0dec5476, 0xeb77fa9b, 0x0886e135, 0xbf267e8d,
+    0x36ac4c9c, 0xc600570a, 0xf0a2a01f, 0xc6acc0ed, 0xded34ccc, 0x4ecfb6ab, 0xc81f2680, 0xe0604506,
+    0x9048ee90, 0xc1ab83d2, 0x824af3ad, 0x1db02bbd, 0xe6c28e31, 0xf4cc428c, 0xe761ecbb, 0x87ac5319,
+    0x625601de, 0x1299e248, 0x1f22cb0f, 0xe4b64dbe, 0x12364aa1, 0x5f201daa, 0x2de8e067, 0x2ed6419d,
+    0x70db54a3, 0x992229b1, 0x1ddd4d55, 0x5b8e11fb, 0xe16454f7, 0x714e25d2, 0x40890ae7, 0x41d0e663,
+    0xa04f0dae, 0x5049e5b7, 0xf4bc23ed, 0x0b04ff41, 0xbe9cf916, 0x78b40565, 0x0f72301a, 0x2e09235d,
+    0x43041fd1, 0x6fb43c5f, 0x03ea0355, 0x5b877950, 0xaf519b70, 0x6dce7ee8, 0xe02ad7f7, 0x7b18641b,
+    0x20b05738, 0xec1ed96e, 0x6156c69f, 0x173393d6, 0x8072b874, 0xda707d01, 0xfe928855, 0xb1d5d9a2,
+    0x3de360f2, 0xce0f88a1, 0x9479afd4, 0xda16938e, 0x89810b99, 0x96a0f2b3, 0x40826bf8, 0x4123fe43,
+    0x34480b3b, 0xb7c3a3fe, 0x67ed997d, 0x6e004cb3, 0x55a94ba3, 0x3a681fe6, 0x73f1e2bf, 0xd8a6d6ff,
+    0x596ce2fa, 0x03b02265, 0xb50a1df3, 0x1b0d92e8, 0xc3593a7c, 0xa7a22308, 0xc5d73737, 0x8dfec1af,
+    0x6bebba85, 0xd0e85215, 0x057c465e, 0xf7169381, 0xe0d251bb, 0x7407eb79, 0xb4c28ea7, 0xda7c86a1,
+    0x802282f5, 0x285aa3bd, 0xaf4dcb17, 0x5f40d849, 0xc9888304, 0xbdc89160, 0x9d96a1f2, 0x2f9eb808,
+    0x30435ae1, 0x07e34bb3, 0xc876c8a2, 0x513667ad, 0x068d4cef, 0x598c2b03, 0x998545d6, 0xa1d68638,
+    0x106d74e1, 0x77882fe4, 0x6f7b9686, 0xb592d7a4, 0xe032453d, 0x92b0ebaa, 0xaeb700a7, 0x0f82bacb,
+    0x4dd04fd1, 0x76500fb3, 0xee5481b3, 0xa373d555, 0x5a2c4660, 0x68ba4e92, 0x9a58256c, 0xcb37d3cf,
+    0x3e86d5ac, 0x5894246b, 0x70c640ac, 0x4a081eb2, 0xf4726c37, 0xfa018f5b, 0xbc3f4b9f, 0x7479401c,
+    0x8cf52663, 0xbdb7d28b, 0xdb74dec7, 0x93745b8b, 0x58a23c86, 0x9fa60b73, 0xc48e3603, 0xfe877bdf,
+    0x21fa0a99, 0x567e4e8d, 0xbbc4f7e3, 0xcfc81e5b, 0xa81fdab9, 0x6b29d35f, 0x4c5c2dff, 0x768212cb,
+    0x110b1202, 0x045ef5d4, 0x7fc48945, 0x51a8ac19, 0x0770357e, 0x60da2b1f, 0x516c0eef, 0xa5ef9df5,
+    0x06d756dd, 0x314f7f25, 0x04b66df6, 0xf57063ff, 0xcb426e93, 0x7708024f, 0x0b5dd8c7, 0x7994a306,
+    0x4b187173, 0xff738cc6, 0x3a8ca9bd, 0x97b6e545, 0xecff8ba0, 0xef6174d5, 0x05662020, 0x99e967a1,
+    0x0755963f, 0x386fc9d2, 0xe48c58d3, 0xc5af5276, 0x7b9898c2, 0xf7354f02, 0x3d7998e2, 0xe5faa421,
+    0x70544cc0, 0xd54127fe, 0xc78d1b3c, 0xa09bce24, 0x4232f6ea, 0x2c323fe3, 0x2ffbfe99, 0x72651a8a,
+    0x316dd8e8, 0xae8d434e, 0x71dc01fd, 0x089ee3ac, 0xa657546a, 0x1bf8871b, 0xf5e11550, 0x6c8bc0b7,
+    0x9efb2ca0, 0x99cfdc8f, 0xb76e7bff, 0x22985c5d, 0x562bb98b, 0xa78566b7, 0x7cb0b3d1, 0x877b0e98,
+    0xf2426321, 0xbc741d27, 0x1dd0f729, 0xd351a7cf, 0x62aa3466, 0x81f40294, 0x8f798bfb, 0x3fe64f62,
+    0x9ded04a4, 0x00e07684, 0x0a1d2d0f, 0x5c9e2774, 0xa01d84ee, 0x6e83e82f, 0x58134b90, 0x17ec7736,
+    0xffdbee3c, 0x1c0256b4, 0x060fe5b1, 0x26960e56, 0x3f051a90, 0xc19cda45, 0x90c42aa4, 0xeca36546,
+    0x157bec2a, 0x30470043, 0x17d315f3, 0xd1e2a06c, 0x056ad12e, 0x300867f9, 0x01c717f0, 0x5731aa5f,
+    0xd36e7a1f, 0xee063538, 0x267a77a8, 0xa7a1d845, 0x00af03fe, 0xe300cd31, 0xd3262b57, 0x1d28d1ac,
+    0x7baf5c1b, 0x426ab1f1, 0x2575f147, 0x76be51de, 0x5aabef2d, 0x468f463a, 0xab351abb, 0xb9678ac9,
+    0x14979d9c, 0x1bc6174a, 0x3ce2c97a, 0x16284cbc, 0x47304bdf, 0x1bcdb09a, 0x843de06d, 0x14676263,
+    0x45ae8c56, 0xbb647b65, 0xc94b6fae, 0xfd0cc154, 0x1effc11d, 0x4432ac9c, 0x9aa4bdb0, 0xe0fed911,
+    0x0b14b2d3, 0xc5619146, 0x37cf4efc, 0xc3245bea, 0x7e14d3eb, 0x3a2dd42e, 0x0e009270, 0x3c2d5d83,
+    0x58bdf908, 0x69112cef, 0xa73eaf26, 0x2c2ea59d, 0x3dead4e6, 0x7d3921ac, 0x6a120678, 0x12a16386,
+    0x35ef3b78, 0xfae161c8, 0x33fc71a2, 0x6380dc96, 0x57657748, 0x27dc9d7f, 0xb3c4fc5f, 0x85ba9648,
+    0xdb7dd798, 0x45b3cc80, 0xf60e1a9f, 0x2412eb43, 0xe6f50327, 0x1e17c66f, 0xa69ca033, 0xdde07710,
+    0x1b1e1dd5, 0x5490b728, 0x95b33803, 0xe1474ab2, 0xd7b30135, 0xb79a1a85, 0xb0fe236c, 0x85dbd9e0,
+    0x35a0306b, 0x8017e951, 0xd7f07679, 0x778cc301, 0x5a20ea18, 0xc0f9bd6e, 0xe7b00f3e, 0x502179c4,
+    0xa1b99567, 0x9c09610f, 0x7ad70d6d, 0x7bb4498a, 0x17770870, 0x49bde83c, 0x9c45daec, 0x8159de4c,
+    0x76d2c644, 0x5bcd9768, 0x3a76e10e, 0xf8ce3cee, 0xe97bd166, 0xc4fb8547, 0x72dbd62a, 0xc818ae9f,
+    0xe6058266, 0xe64bad65, 0xf43c3bfa, 0x898b0c68, 0xc4fe14d7, 0xacab9e7f, 0xd9851236, 0x00549034,
+    0xa01f65e4, 0x4016f62b, 0x40b87897, 0xbef9578d, 0x2a1ed967, 0x990accac, 0xfbfcbd70, 0x54b8874c,
+    0x0a6ad2c4, 0xb7acdf4a, 0xffa56200, 0xb19dd002, 0xf7a168d5, 0x459ff50f, 0xc8a5fece, 0x1e8fffd9,
+    0xeb7a3b65, 0x0ab811a7, 0xd0dbbdc4, 0x728afd0f, 0x0c3c137e, 0x6c971622, 0x67bdf848, 0xa07663a3,
+    0xf41c9b00, 0x78ff7d3b, 0x660ed4df, 0x4fb5eeb0, 0x8ca8089e, 0xef4067f7, 0x776c1aac, 0x0aa56335,
+    0x8a1099b1, 0xa9ccebc7, 0x6fd7b03f, 0xa3877389, 0xf3a80cfd, 0x00528cd6, 0xdd79c6e6, 0xebdea6ef,
+    0xf4cf6912, 0x5d2568cc, 0xe429aebf, 0xb4e56579, 0x33919762, 0xfea1e482, 0x9e79f027, 0x6405935c,
+    0x856dc0c0, 0xf558a510, 0xfe867028, 0xca420c78, 0x5a4f3749, 0xcdd8b9f7, 0x2a2b60bd, 0x03850a43,
+    0x00f11abd, 0xaa191944, 0xad0bdf14, 0x613d20f3, 0xddae4271, 0x4cb36ddd, 0x20923c39, 0xd9aee453,
+    0xb2717bc3, 0x49593ecb, 0x946add58, 0xb96ee487, 0x51ad4106, 0x65c0134e, 0x5319dc41, 0x2b44bef1,
+    0x4460abc8, 0xe0ccddb2, 0x7bb32902, 0xb289e66c, 0xfd601c0c, 0xec35890e, 0xe54fe626, 0xf12d5ef6,
+    0x3d967467, 0x34846d13, 0xf6172619, 0x9636117e, 0xb70afca8, 0xd75ab311, 0x82d95579, 0xfe7ae38d,
+    0x7765d5bf, 0x0abed47e, 0xd53d05e2, 0xf329f289, 0x5ff377f4, 0x09627ef5, 0xb073b905, 0x577b2ae8,
+    0x758a20ae, 0xf3c11c33, 0xd60e8191, 0x9a024c3d, 0xaaf99957, 0x6b9c5958, 0xca101325, 0xf9159b20,
+    0x00e5820e, 0x17eed215, 0x924e2df5, 0x54ba40e4, 0xc6a1afa0, 0x7384a4e4, 0x527d46a2, 0xa8ffdeff,
+    0xcccd71f9, 0xcb53f207, 0xd13052ed, 0xfcbaa730, 0x28d6a43c, 0xf9e5f84d, 0x31fce323, 0x1c2f6173,
+    0x823c42a3, 0x452839e8, 0xc8496852, 0x56ff1765, 0xeefd74e8, 0xf4459a2a, 0x48913a5c, 0xaa722031,
+    0x5430e986, 0x722680b5, 0x4b3c1280, 0x4d8b3a6e, 0xb0bf3c24, 0x29e0c931, 0x5b5956cf, 0xb3598c0f,
+    0x5fcb1ee1, 0x912649cd, 0xf90d741c, 0x746fb768, 0xc7d22b41, 0xd0e3632f, 0x00d4a0c6, 0x8aa9a3be,
+    0xe7578ba6, 0x0a9eb9a6, 0xbf2fcab5, 0x0dfccb77, 0xbd7727a6, 0xff5e53b9, 0x3f882a4a, 0x5ad7eb17,
+    0x2114910b, 0x0ed683c8, 0x9f10c936, 0x23e28737, 0xb93742fd, 0xc7266e3c, 0x7955e3d7, 0x78f1aedf,
+    0xc5dabaf2, 0x19f0f6a9, 0xd073e2bd, 0x5484b789, 0x8d97794d, 0xd943ae53, 0x65d5922b, 0xf8713690,
+    0x00000000,
+    0xe833287d, 0x04173c2c, 0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57,
+    0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000038853377\
+                         84451458141838923813647037813284813678104279042503624819477808570410416996352 */
+  { 0x00000000,
+    0x3785c991, 0xf79f6396, 0xae9507f2, 0xcf8cb31a, 0x6f99a54e, 0x24cd353c, 0x1b763eeb, 0x5dda28f4,
+    0x2ca70048, 0xb7b22d32, 0xd657350e, 0x8d5455e3, 0x4f3188b4, 0xcd4422b1, 0x1d0b35d7, 0x620cad7e,
+    0x95adff83, 0x61d6b4d7, 0x2826316e, 0x6479a34c, 0xf1c58ad0, 0xa6297afd, 0xdd3d4b53, 0x2e5d3d2b,
+    0x636b69ee, 0x9418d92b, 0x5551957d, 0x8e930335, 0x4ca69525, 0xadcfde7d, 0xcf4b6e1b, 0x746fd053,
+    0xc49d7eb0, 0x61ca6bc0, 0x7c902f86, 0x8fa61a86, 0xb853cd15, 0x878393c1, 0x2f55f99e, 0xc84dc9fc,
+    0xe1fa10cc, 0x73743b10, 0x156851c7, 0x93b87309, 0x542a5900, 0x32a69dd6, 0x6cc59961, 0x50fc97cb,
+    0xc7fd44a0, 0x458275e7, 0x6c618f7a, 0x4380d162, 0xbd2e035a, 0xb140a078, 0xe1deb294, 0x5bb8d4d9,
+    0x34c971c6, 0x0aa93d84, 0xf55f1fcc, 0xdf752237, 0xd940f55b, 0xd1938f05, 0x69ea734a, 0x8a64144b,
+    0xed6a5926, 0x81e99ab6, 0x1cc3c902, 0x8d031052, 0x1ccab92e, 0x52ca177e, 0x6740eb04, 0x6d14085c,
+    0x59dc4876, 0xdcf012fa, 0xb8d7af26, 0xd97812a4, 0xbb38bdbf, 0x88f47a7c, 0x892cebd0, 0x918ad9b2,
+    0xdd67f082, 0x8789a7a3, 0xc64c0ce6, 0xa376a06f, 0xc8ea97a1, 0xf8b67a75, 0xb80ac3ff, 0x5f2a7a9a,
+    0xe82136d1, 0x19f50385, 0xf0f8c596, 0x30371d77, 0x4d9d58ea, 0x16c35d49, 0x7b8890a0, 0x74d44fd6,
+    0x24355fff, 0x99d47631, 0x3744bb28, 0x62add5cd, 0xf9baf77b, 0xab546e15, 0xbbc5caf9, 0x96748a07,
+    0x34d0b288, 0x47e6231b, 0xc36ba337, 0x856bcdce, 0xfda190cb, 0x897f84f2, 0x91927613, 0x83e0d225,
+    0x8e663a0f, 0x32a4fddc, 0xddba36ff, 0xf9ac7832, 0x54381216, 0x6c257431, 0xb587ac45, 0x2f4f5071,
+    0x01795dda, 0x96bc26f0, 0xbd0afc8f, 0x04549fc9, 0x800e0119, 0x050f4331, 0x8f903663, 0xb0a54e40,
+    0x4205d575, 0x96a50da5, 0xae3d826e, 0xb6e23c09, 0xa87f0bbd, 0xee7902aa, 0xcd264ae2, 0x01b338a9,
+    0xe5f8403c, 0x3b5e5a77, 0xedcec391, 0xcf40bbbc, 0xe48a6ca7, 0x12b5e1c0, 0x899fc480, 0x2c412f84,
+    0xb30f5219, 0x892b5e52, 0x18d03c84, 0xf39efe42, 0x964c58f7, 0xf98b3497, 0x7ca6f552, 0xf2d9ddcf,
+    0xa74bb87a, 0xbb00bfd9, 0x64ad9afe, 0x260375d8, 0x0e9abc20, 0x07392847, 0x2d5fd91a, 0xfa09a310,
+    0x195e0ad2, 0x36d8d865, 0xb9006bed, 0xc4b09f61, 0x239fb311, 0xa64b2989, 0x7154980f, 0xf3a64b17,
+    0x6cbed71d, 0x80f1a9a3, 0x8a98af2d, 0x154e90ee, 0x661fe8a7, 0x2c97e56b, 0xf89d0453, 0x3128b642,
+    0xdbb38600, 0x35413cf3, 0x2daa7f21, 0xd0bd098b, 0x7dbf21a2, 0x096cd519, 0xbab15a98, 0x35dbb409,
+    0x020f67df, 0x639ceba9, 0x10579e63, 0x0e66fcad, 0x9188963c, 0x3792edbc, 0x58c21584, 0xb697965a,
+    0xb8d7eed7, 0x2a54ebc1, 0x7fb09715, 0xd9e8d224, 0x9b0537a0, 0xe0d09e62, 0x28301fde, 0x0803d02d,
+    0xd9d5ce0c, 0x0155efb3, 0x81fd5a96, 0x7888851c, 0xfa6dc4b4, 0x62079ac3, 0x6f2620ea, 0x53fc341c,
+    0x9e33cab0, 0x26b0f14c, 0xa169fa10, 0x70920cbf, 0x0d10a62c, 0x13c5d066, 0xaba85bf9, 0x5f8191a8,
+    0x003247b1, 0x88701088, 0xc35a292c, 0xf62e0454, 0x46a5c9f9, 0xac0ffa50, 0xd2915f61, 0xc0947a9d,
+    0x6e2961dd, 0x1e77d427, 0x72f8c1a3, 0x65b4acd8, 0xd6c56aa2, 0xc006baea, 0x6ebae3f3, 0xa691b560,
+    0x630f2883, 0x040f1227, 0x86d630e4, 0x849c3751, 0xf9f9e0a0, 0x1217b4de, 0xa57e6c17, 0x9e3edb94,
+    0xcce666e9, 0x4145b4e6, 0x825f90d4, 0x846359c2, 0x0d92cb16, 0x41cff70e, 0x48d0f8b0, 0xa63419f5,
+    0xb0a7720f, 0x38103bc2, 0x6f074d56, 0xacc8c4cc, 0xf5c41a88, 0xe10c61de, 0x19a37925, 0x98d23b87,
+    0xafde53f3, 0xcc1f3579, 0x51439df8, 0xd44993ea, 0x1637b9b5, 0x3546682b, 0x03ebfee0, 0x1ab942b1,
+    0x0159513c, 0x1f22ebab, 0x9427abea, 0x2284b69a, 0x7e730163, 0x2c4a1731, 0xcbf38c5d, 0xe8677137,
+    0x4ff6e2af, 0x46c83e8c, 0x7db8c22c, 0x5d499c57, 0xf3394306, 0x5b85e489, 0x638e393b, 0x5c813e7c,
+    0x8a78a80e, 0x64518bee, 0x8900e646, 0xccfd80e3, 0x0f829f21, 0xc2bdbedf, 0x91ccc8f7, 0x0faa9716,
+    0x57b4afea, 0x9dfb4499, 0xfd80dcd1, 0xe0e692fd, 0x50fa5a62, 0x5f13d1b9, 0xd0d596df, 0xeb7ab102,
+    0xa242c8ef, 0x1ffcbf7c, 0xfafbc1b4, 0x48baaba5, 0x60b91e85, 0x78e3c09b, 0x9d4739a1, 0xe6d8d025,
+    0xffa88938, 0x44bfb43b, 0xdfa49985, 0xf5b6cdbf, 0xdb8833fe, 0xef126c41, 0xaa6f8485, 0xeecc9685,
+    0xd12007fc, 0x6b077823, 0xaa8ea386, 0x279d00cf, 0x9059d707, 0xbfd8e143, 0xd1436b2f, 0xd76607f7,
+    0xfaeed476, 0xaed97494, 0xf2ceb148, 0x179a2eba, 0xea93a071, 0x9639ad10, 0x68721ecd, 0xcef0a8d8,
+    0x8b3e6bdd, 0x17d5b639, 0xf497e007, 0xd51dcd3b, 0xe43df701, 0x7887bc72, 0xa5e1a37e, 0x80788367,
+    0xa4e2f8bb, 0x492d7391, 0xc11f9fb8, 0x1eaaa8dd, 0xd8df5180, 0xcf7ab482, 0x86f02a70, 0x4d92e8b3,
+    0x4b3dcd92, 0x21891129, 0x0007f1f5, 0x50962eda, 0x571bdd5d, 0x3849a33a, 0x3f460b3c, 0x6fd398b5,
+    0x68d6b9f3, 0x9b408f3d, 0xffa272a6, 0xa095caee, 0x077732c0, 0x6668768f, 0x5b079320, 0x75d3b45e,
+    0xd96e5702, 0x878c73aa, 0xe0ec7ea0, 0x4fc3c28e, 0x985783ed, 0x28424d73, 0x845dccef, 0x96bf6b85,
+    0x81d722fe, 0x4d820585, 0xb54cb0a2, 0xe6d3f843, 0x43583745, 0x27e7e22c, 0xe7d66b14, 0x85ce98b1,
+    0xde679beb, 0xadff9595, 0x3d76e6e7, 0x089350c2, 0xd44c29e3, 0xe7fe76c1, 0x9e6d5f9a, 0x24818164,
+    0x450cece2, 0x94951c0d, 0x5b38d7c0, 0xa22cd111, 0xe09deb0c, 0x0d16532a, 0xc347aa03, 0x040c1203,
+    0xbe57f061, 0x75e5b6e2, 0xe689096f, 0xc0f1a9e7, 0x257165bb, 0x8d02fade, 0xa22daada, 0xe79786c3,
+    0x88e0f366, 0xe7a4bb38, 0xec20286f, 0xfb91d3e4, 0x3dd71881, 0x029bf6b3, 0xe6353bf1, 0x8c98ea29,
+    0x41b2c8db, 0xc49f35d4, 0x5110342b, 0xdbed3870, 0x980c1243, 0xdd6eab19, 0xfe6a5a45, 0x415f00ca,
+    0x95f74e3e, 0xd1be140f, 0x0ff05b75, 0x7aaf3dd3, 0x2da0d35a, 0xe33995e5, 0xb80cec1e, 0x4092a1f3,
+    0x1ccc6914, 0x842e4dd7, 0xc8823582, 0xe70cf32c, 0x9684f752, 0xe9bc221c, 0xdac6233a, 0xff39cb3b,
+    0x56462141, 0x213bfd06, 0xb31bf19a, 0x82a569bb, 0xf85ccad7, 0xa12db877, 0xd8d90b5b, 0xb5a0ed16,
+    0x2c89a0cd, 0x39901668, 0x1b80f1f1, 0x639104bd, 0xdcfee8d9, 0x9230b080, 0x1edad8f4, 0x018c0560,
+    0xb1c30962, 0x224c033d, 0x65491f6b, 0x28b97c83, 0x87cb770c, 0xf7a92278, 0x22607c8d, 0xec9fd88b,
+    0x07f5cbf6, 0x90a38beb, 0x9e96cae2, 0xd34540d3, 0xf25037bf, 0xc2405593, 0x7b9a6e3b, 0x47001525,
+    0x3a5ef35b, 0x5e7fbabd, 0x89a8ab58, 0xff31621e, 0x99955815, 0x2eadce97, 0x0c401309, 0x4692cfca,
+    0xd3ce0b42, 0x27d243fd, 0x2ebb77cb, 0xf1385344, 0x9876a8ce, 0xc1c96a67, 0x2d86005d, 0xf550535b,
+    0xcb2cd83c, 0x6989ee5d, 0xeca59f10, 0x6e8c246b, 0xaa9f730f, 0x117fc5f2, 0x393cf5a0, 0x8b86fb95,
+    0x7216dc20, 0xe98ce44d, 0xdbcd3245, 0x2a790872, 0x9647432f, 0x62d4d72a, 0xe8f7efc9, 0xc77811e9,
+    0x250bf1ec, 0x447544e3, 0xe576e336, 0xcbaa983a, 0x6bd39d82, 0xa4c42916, 0xa3bb9eeb, 0xf749d72b,
+    0xab7437fa, 0x6aebf3b7, 0x1347a669, 0xca3c1c70, 0x3a20fbdc, 0xb3352b27, 0x97f64cbd, 0x83ab8f46,
+    0x50a222e5, 0x5f2fa0c4, 0xc405a8a5, 0x7f29faa1, 0xea342b01, 0x2fb72bef, 0xf547ab5f, 0xc17e7100,
+    0x47607ea7, 0x5a5c7b72, 0x7f8815d5, 0xd2c6650f, 0xd86432d7, 0x75e5f9e4, 0xb96b313d, 0x1259bb76,
+    0x6115ea2a, 0x3aec192c, 0x507c15d5, 0xbc00f417, 0x91dc8028, 0xf3a4fe15, 0xde60047c, 0x257612da,
+    0xe600c061, 0xa574af25, 0x0cf4970b, 0x299fce00, 0x86075885, 0x69c34f30, 0xb10be130, 0xc32891df,
+    0x32b6c085, 0xedb08ef2, 0xde68e5f8, 0x411d481b, 0xd9ce4648, 0x61309ee2, 0x12bd6f0f, 0x423aaeb0,
+    0xa2e3a59d, 0x9c50d7d9, 0xbb067991, 0x1e51d673, 0xc3c10f2d, 0xe934de19, 0x6b4f3a95, 0xa1868b35,
+    0x63d46db5, 0x00807394, 0x2ca2bda9, 0xf3f7fa5e, 0xcb990d8e, 0x15e22d15, 0x44f5745a, 0x8aaf9c07,
+    0xfdf0d08f, 0x4073c27d, 0xcbbfd211, 0x19d26a58, 0x1676ec9c, 0xfc5ab2af, 0x90efe234, 0x74668ba6,
+    0x63903cb5, 0x3ed6b54e, 0x76a8f667, 0x4d0235b6, 0xd643200e, 0xb3924133, 0xc80c3bcd, 0x4da1328c,
+    0xf016b8b6, 0x1c617c1d, 0x32f90ac1, 0x8042f4cc, 0xe762fd47, 0x585823b0, 0x39283cea, 0xda2894d2,
+    0xd3c67a53, 0xc20f2470, 0x0a89ad7e, 0xdb0a1e5d, 0xd067983a, 0x3790cce1, 0xdf349f28, 0x8bbb15f2,
+    0x53ad5704, 0xe46f99c9, 0xc4b8e801, 0xb15edc83, 0x4f5e4ff6, 0xc32665c9, 0x450e5825, 0x328413d5,
+    0xb9f4d29a, 0x3cab0533, 0x828e2d6b, 0x82639e90, 0x8c571195, 0x7b17d4e6, 0x4d03db6f, 0x2f1c197e,
+    0x5e484fdc, 0xf80dec3a, 0x47aef99f, 0x826c1580, 0x5fcb24e0, 0x9120e836, 0x3bb8d54e, 0x1969ddff,
+    0x9c11a7b0, 0xca40d6c2, 0x4f9936e2, 0xbb02f7fc, 0xac1883ce, 0xaf58602f, 0xbf615b07, 0xe5ca9d2e,
+    0xa80fe642, 0x8ca1f532, 0xc72cb4e9, 0x6a0ed639, 0x3ee79af6, 0x75121ce0, 0x1053da3d, 0x94c53162,
+    0x76505e1f, 0x8b969804, 0xdaf5919a, 0x67bce045, 0x0cff4df7, 0xfbfa0a74, 0x70d173ea, 0x872854e6,
+    0x1db11ec1, 0x55e955e3, 0x764e6980, 0x1efe7327, 0xac0c73b1, 0x9ce6916a, 0xd2957ddd, 0x214adb28,
+    0x751c8f9f, 0xd2a1a21c, 0x61d92f8e, 0x1cc3c49d, 0x4532264b, 0xa707c72c, 0x1a52b8e0, 0x3ae5bd4e,
+    0xfccd7150, 0x5de7962a, 0xbb1b2348, 0x99766d3a, 0x9b86b6fb, 0x3b4996e1, 0xfd15cd63, 0xf42763f5,
+    0xea3a723d, 0x0c8ce92f, 0x5862d784, 0x520e24b7, 0xf35045b8, 0x62a0366b, 0x22a84a61, 0x40542b9c,
+    0xd1114170, 0xabc1c311, 0x00a06a27, 0x79b03e8e, 0x8e3b5322, 0x26ee37c6, 0xc686684c, 0x352c2d6e,
+    0xda199bac, 0xf9cccabd, 0x04022b99, 0x104a6cec, 0x4538b911, 0x5867cb8e, 0x74438681, 0xce3cfee3,
+    0x4eafbd93, 0x2190800a, 0x4dbfc4fe, 0xd81fa9af, 0x27cd9082, 0x06bbcfb8, 0x24997c50, 0x670ba061,
+    0xfcae5be1, 0xdfddbc8a, 0x1df4b06c, 0x76facb6e, 0xfab77f64, 0xc5f7985c, 0x32e1fb93, 0x5136a72e,
+    0x90b7692c, 0x72cc9fcb, 0x01fe0ab6, 0x16f94ee1, 0xb2b2d96f, 0x23bc32ac, 0x61969b0c, 0xa59c7012,
+    0xae1f576d, 0x8f190425, 0x1a2aa0ff, 0x4130c5b5, 0x9ca6df45, 0x07c555ff, 0x3e3f2ac4, 0x5d5fe71b,
+    0x818af2af, 0x5a487e27, 0x434cc242, 0xb772e2ee, 0xda9d0cb8, 0x3e501409, 0x4a65463d, 0x9df0bb13,
+    0x9326c80b, 0x41a08942, 0x62d835e6, 0x3d229b69, 0x117bd0e6, 0x57ce976e, 0xd6986977, 0x1362fc06,
+    0xda997fc1, 0x9d3c7880, 0x29a7b7a5, 0x74a36bf8, 0x74e95a51, 0xe1222f05, 0x34d084c4, 0x7de80974,
+    0xb925df2c, 0x984fb356, 0x339eead9, 0xe139706d, 0xc2110289, 0x21147b1f, 0x0146e21c, 0x69ea72b3,
+    0xef1b3eea, 0xc6ff8a19, 0xac2601a6, 0x21ba449d, 0x235d23df, 0xff91ca3c, 0xaabf62c5, 0xed190932,
+    0xe45f7058, 0x2b174243, 0xbcf02afe, 0x57ac863d, 0xcced7191, 0x1749d866, 0xc0bd273d, 0x7ed4c9a5,
+    0x9fca8a8f, 0x116bb061, 0x31bd6e52, 0xd2f10bc3, 0x40bbc11c, 0x703c8bcd, 0x86080fe4, 0xd0ef9fda,
+    0x135ccedd, 0xc93f5f05, 0xbe44646d, 0x679f5f42, 0xcad71984, 0x320db21a, 0x554d8bf1, 0xa20c5121,
+    0x28219333, 0x28a235cb, 0xebb06393, 0xc291cd82, 0xdaa8251c, 0x373e7a07, 0x98343996, 0x720fcba9,
+    0xa6d26be8, 0x2fce6342, 0x3212142e, 0xd4a74459, 0x9fa0c32f, 0xcf03d966, 0x66cf9a78, 0x62d13c1d,
+    0x234d6fa9, 0xab1cc1fd, 0xfc25be60, 0x17de6720, 0xf9997f29, 0x54e32ee3, 0xb3dfd17e, 0xe12a9c19,
+    0x6a10c855, 0x654c0963, 0x1239056a, 0x086f423c, 0xe39602c0, 0xb13b251b, 0xbadba083, 0xc6742722,
+    0x9b2c5f26, 0x0cf826ea, 0x10f919a3, 0xa40b1a15, 0xf6c30be5, 0x202f3038, 0xf407b1ad, 0xf77a2bac,
+    0x1b6d7dd3, 0x0b6f3e64, 0xabd0c6d3, 0x0bf11e2e, 0x44bdb88f, 0x5473392a, 0xbf6d0c27, 0x7ee9eb51,
+    0xc0e0437e, 0x2711a9bf, 0xc8e693d8, 0x10b643d1, 0x0493f347, 0x7304dae8, 0xa7052d9e, 0x56d1b0b3,
+    0xec5ecaae, 0x612a7116, 0x5b462e55, 0x56409822, 0xf40b5b79, 0x66a8098a, 0x32430103, 0x6d5a22a9,
+    0x0452e81f, 0xbfc9c71f, 0x4c13ae71, 0x215b7d82, 0xba8f7d78, 0x5be1ba9a, 0xc664ab43, 0x5f1149c8,
+    0x9316b221, 0xe238fe9a, 0xd7af23d0, 0x89e4b916, 0x5fe0381e, 0xda880e4c, 0x5d0b10ba, 0x94a2e7ef,
+    0x63b181b1, 0xafdd0caa, 0x3fca9f5c, 0xdad5d2c0, 0x29e79447, 0xaf09a0b2, 0x41614ee8, 0xac82f538,
+    0x4de1f998, 0x7344072a, 0x06c88832, 0xf0102509, 0xcc1318ad, 0xa06c7ac7, 0x331ce62c, 0xb5ab7d33,
+    0xe2a2bf6b, 0xad79267a, 0x38d3cca1, 0xeacb9a54, 0x9db03863, 0x3a7b5dee, 0x8fbf5a6a, 0xaa3fc419,
+    0x6db149ea, 0x565b5c96, 0xcef3e652, 0xd1dc2c05, 0xd22664f4, 0x57fa459d, 0x6913cdcd, 0xf0addfbe,
+    0xad47d670, 0xc05a1dba, 0x247c23c7, 0x1083ba6b, 0x56c6ea08, 0xbda08a59, 0x8818511f, 0x08652077,
+    0x338eaa1a, 0xe595874f, 0x1f8aee90, 0xb3970d5a, 0xd11e0196, 0xcd4a42c4, 0xd00e27d2, 0x4f5ee7d0,
+    0x2580805f, 0x65eaf752, 0x0ae20a21, 0x0c44eb28, 0xc77613f9, 0x7d42a678, 0xa16944bc, 0xd64f34ce,
+    0x1e2a55e9, 0xe29aef9f, 0x310c3af9, 0x853bcf96, 0x06ae3204, 0x83e34451, 0xa2fb6a1a, 0xd9cc5721,
+    0x7dab2d01, 0x11e6477e, 0x41a98779, 0x9d88d925, 0x56afb9d4, 0x87416b6b, 0x927ebac1, 0x305ee675,
+    0xc724134e, 0x6011de51, 0x1e6be02b, 0x3b6f1d87, 0x9ea119ae, 0x7ce9ca3b, 0x56aead2d, 0xc8ad5f38,
+    0xadf65428, 0x63046de5, 0x99f7e632, 0x30c5b582, 0x9410f071, 0xc74e59ff, 0xe76009a7, 0x9c86d273,
+    0x652b63db, 0xb5297460, 0x8a87d7a6, 0xdae8da19, 0x3b19838c, 0x831b96c0, 0x2e25f39d, 0xbdb13f56,
+    0x272f2f53, 0x6023f872, 0xcb649c9d, 0xd0ab67de, 0xf93f638c, 0x42109b5b, 0xfd645926, 0x387b646a,
+    0xf8200b04, 0x986400ae, 0xd7aac4a8, 0x9c9cabcd, 0xc3a39025, 0xd709bcaf, 0xc44c4a18, 0x3d0a05b9,
+    0x0b9976b8, 0xafdb2fb9, 0xb55bd9bf, 0xe23a486f, 0x813a1a90, 0x99c729eb, 0x7c371069, 0x7da2b392,
+    0x743ae136, 0x01e616bd, 0xa2c154d0, 0x07fac21a, 0x3c8ad32a, 0x7200acff, 0xc41ecc1e, 0x28adcc1f,
+    0x06d37ef5, 0x4ce442f5, 0xc4207fd9, 0xfc7eca2a, 0x2302a80f, 0x12883cf4, 0x55608d0f, 0xb253c660,
+    0x00000000,
+    0x7419943e, 0x020b9e16, 0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b,
+    0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000019426688\
+                         92225729070919461906823518906642406839052139521251812409738904285205208498176 */
+  { 0x00000000,
+    0x9ef7634d, 0xf1b63e42, 0xb0e9f2f7, 0xf30b579c, 0x9025d17c, 0xa9156cdc, 0xf39b236c, 0x637369d1,
+    0x47bd64e7, 0x7ad0ef22, 0x43df677b, 0xfa3e6a5f, 0x9bcf022a, 0x85fcaa2f, 0x5a05d72f, 0xe70494db,
+    0x0b00e80c, 0xf1ed7614, 0xc7ac39ab, 0x47de9640, 0xa4d51c8e, 0x0bd363be, 0x011e3b3c, 0x683f53bd,
+    0x3097e036, 0x19b354d5, 0x970d9f57, 0x323957e8, 0x00ab456d, 0x2e573afa, 0x1442ebb0, 0x24fe1b37,
+    0xfa7ebaaa, 0x640ccc34, 0xa22c526e, 0x9deacfa7, 0x17af64c4, 0x050ba71e, 0x2e6f4ae5, 0x0e317429,
+    0x6c4d0b71, 0x7a946981, 0xee1a0164, 0xe79dfb34, 0x04fba42c, 0xef52f9db, 0xdef98a35, 0xfe92d3eb,
+    0x30a08869, 0xdc43c397, 0x47da71de, 0x6a598dfa, 0x7aedb785, 0x57bd353e, 0xb5eb35da, 0xbc80773b,
+    0x3e610d8c, 0x0a9dfab0, 0x4ccee01d, 0xea52e9cd, 0x2bf343d8, 0xc88082ba, 0xf34210da, 0x51539a31,
+    0x7cede21a, 0xaf1654ad, 0x9a1e55a7, 0x4b2c89fa, 0x9c2a352e, 0x18435cb0, 0xe611af02, 0x96698919,
+    0x65c4d20a, 0xa88f2cbe, 0xd8b4942e, 0xbcaa9c37, 0x042a1172, 0xa90dfad1, 0x7c46fc2f, 0x5959a148,
+    0xd68d740d, 0x5d2ab329, 0x062f1c45, 0x398088ff, 0x0802ce2e, 0x8b17f78c, 0x62e9a31e, 0x7c15d875,
+    0xc6fb7108, 0x91fe58f5, 0x155879b7, 0x44a9ccf8, 0x957df144, 0xdc5c280f, 0x92454531, 0xe6faa50d,
+    0x18701705, 0xd186d947, 0xe50f3feb, 0x4299bd09, 0xde5b3945, 0x302160e1, 0x76a18135, 0x403828df,
+    0xf76720df, 0x0a725805, 0xd937b88a, 0x9bdaf50b, 0xc0541793, 0x9e21e857, 0x4c78891b, 0x94b3859e,
+    0x49bf483e, 0x12c06693, 0x16d700b7, 0xb834187c, 0x86501eb3, 0x2766173c, 0x28b40dc8, 0x5748033c,
+    0x241af690, 0xbf17e933, 0x44df16f8, 0xfe463aa9, 0x18325b03, 0xebdeeab6, 0x4d069816, 0x7fdbf57b,
+    0x88b46a57, 0x70a2728d, 0x0d6a95aa, 0x26ed320e, 0x327f2122, 0xc64f04a8, 0x56def5eb, 0xe4fd6768,
+    0x180ee790, 0xd35ff4a7, 0x31447d05, 0x8daefcf7, 0x570c3b75, 0xfd6ae374, 0x8fdac8c2, 0x2a644c97,
+    0x200bab40, 0x0d64978d, 0x6bdf9148, 0x511b1d44, 0x2382302e, 0xf2aff0e9, 0xaab1ac77, 0xc196a9f3,
+    0x5a0cab1d, 0x00a8a0cc, 0xe503fb9b, 0x6c129957, 0x61af9f18, 0xe3cf05d5, 0xf56e1ed5, 0xbc36891b,
+    0x37529e1c, 0x60ec99f9, 0x00e0286f, 0xa2ce1c31, 0x70a23eab, 0xb5a075ff, 0xf7564084, 0xbdc0d5c7,
+    0xf6bc10d6, 0x5f7da563, 0x2fbf3667, 0x88bbc1c5, 0x735f9405, 0x4c535354, 0xd53caf53, 0x67d26c68,
+    0xd4285490, 0x632fdbd2, 0x079eb4f5, 0x8596b9d6, 0x0fbf5494, 0xe62648b0, 0x19e9ef5b, 0xd625f5a2,
+    0xe1b34630, 0x047ac697, 0x856b62f6, 0xdbbc45b9, 0x036ff67a, 0x7f098b95, 0x74261b82, 0x988d0247,
+    0xaf0a72b3, 0x92e39388, 0x4018c40f, 0x7fe107e8, 0x2f6cef11, 0x63375e37, 0x6e7e8239, 0x6feb38b8,
+    0x32cb5b13, 0x118031dc, 0xb818a1b9, 0x24234ccc, 0x08783909, 0xc6653fc4, 0x138cd1a4, 0x044eb453,
+    0xfa59f7e9, 0x15c5a164, 0x310a2153, 0x4991c209, 0x808e32c6, 0xe2774b08, 0x1338378d, 0xe1d5fc8a,
+    0x8f7deb83, 0x3cea7365, 0xd31dd355, 0x184059c4, 0xb8b7fa75, 0x96e92dd4, 0xe94f3c7b, 0x8eb20159,
+    0x308d7698, 0x0d9f5d6a, 0x25557456, 0xd40f67da, 0x4af5d699, 0x31a3f9d1, 0xb0f55108, 0x0f9c6daa,
+    0x32d1fdb7, 0xb15434ec, 0xc1cd3d74, 0x8c841e32, 0x95c92cea, 0xdc0e1cd5, 0xd2f05736, 0xd701760b,
+    0x9f1f0099, 0xd7eb11b0, 0x23765508, 0x6f1f1cd7, 0x9a325852, 0xea072a05, 0x613f8188, 0x08f4ff01,
+    0x75fa14be, 0x6bad7bb7, 0x342aec6b, 0x8bfe8e45, 0xc2a72670, 0xe5c476f3, 0xdac6996c, 0x78935ba7,
+    0xd42d9bde, 0x1a6e1865, 0x50b7474f, 0x3442ec84, 0xb89dbdcb, 0x4aff7b36, 0x31665671, 0x527186ed,
+    0x1a86fef2, 0xd6110d94, 0x0d4193a6, 0xbf89735f, 0x27c71851, 0x5dbee119, 0xdbe14d71, 0xa13b79b2,
+    0xaafcc10f, 0x7da22c90, 0xc62900b0, 0xb0217863, 0xcbc55345, 0x77a1e3ea, 0x4e5f7af0, 0x5a803d58,
+    0x8b20c8c2, 0xd24f820c, 0x42078496, 0x172cc45c, 0x4dda03a0, 0xf9db3345, 0x09732d5a, 0x892f5443,
+    0x41c3d408, 0xe44e5248, 0x077dd514, 0x3a4a3b81, 0x47c33e52, 0x2ad0bd83, 0x3e0ba65e, 0x95cce37d,
+    0xd88ac074, 0x5b497bfa, 0x60ca131b, 0xec6875ff, 0x7c49758e, 0xd2d498b3, 0x84a1fb8c, 0x640a460a,
+    0x81569ea0, 0xfb971b36, 0x7369f312, 0x8c570bd8, 0xe047afb4, 0x9e152733, 0xa4637dd1, 0x6727de9c,
+    0x1b244818, 0x8bd60bba, 0xcfe54182, 0x008f760e, 0x167a83cc, 0x0bdc8895, 0x255be587, 0x61923d91,
+    0xade61629, 0xa12a355d, 0x8bd9298c, 0xc7280cf3, 0x2908b5c2, 0x63d2c7a2, 0xb57f1b6e, 0x3e07f393,
+    0x74975954, 0x559d0033, 0xff28c49a, 0x57a4d9ea, 0xef33077f, 0x9b84b97d, 0x698cc8d9, 0x2f6542c2,
+    0x43d024e9, 0x10c88ef4, 0xa22711e1, 0x303e4258, 0x356e2cf4, 0x4aaa87a9, 0x8dcc3078, 0x5028bf8c,
+    0x98e3fddb, 0x18152c8a, 0x6123aec6, 0x3bd3d857, 0xadec8361, 0xf1e8f805, 0x85390b02, 0x29f0b93c,
+    0xfcc5638f, 0x51a52584, 0xbc58be21, 0x7c9c18b3, 0x514d136e, 0x4cfd48c1, 0x334b3ea4, 0x518032fd,
+    0xebb28cdf, 0xea90ec61, 0x16fb539a, 0xc95b424d, 0x4a6356db, 0xd3e60b08, 0xfce02d17, 0xf9fbda1d,
+    0xcde94fcd, 0x60c95902, 0x5c162d29, 0xea3bb86f, 0x25ae64e3, 0xfa6323a3, 0x4f50e5e3, 0xc2577544,
+    0xf8d908c0, 0x73a0af31, 0xbe584c70, 0xed285c68, 0x4642065e, 0x7c4fe99e, 0x744e3574, 0x24fa0fe0,
+    0x134c7ad9, 0x284f5558, 0xbd60638b, 0xccf8c30c, 0xf6400444, 0x47d15685, 0x47c7d5ab, 0x071c5c06,
+    0x24f4f327, 0xd5c024a2, 0x9da61d33, 0xe691bcae, 0x2dd046f5, 0xc1d1a11f, 0x7766eb9d, 0xd20013cb,
+    0x94a20338, 0x615bae7a, 0x0ad19f84, 0xe1650ca5, 0xd0e847f9, 0x539fde2e, 0xf82fad15, 0x538898c9,
+    0x3929e978, 0xa38294fb, 0x7c462139, 0x4ad4c7df, 0x3a5d1eff, 0xe99ebc88, 0xe3e8486e, 0x671b6cc2,
+    0xbd3eb2c3, 0x5c3a78be, 0xf2f3c2a6, 0x3450f1ae, 0x02a165bb, 0xcc1e2d13, 0x15b8f6c4, 0x9acfb940,
+    0x33922443, 0x78f86bd4, 0xf3713a0f, 0x42239019, 0xfcd76e14, 0xc2709159, 0xb66aa676, 0x569dfd68,
+    0xa6ef9792, 0x7590ce38, 0x00b79f1a, 0x1ab6d394, 0xdd75610e, 0x0ec34c3f, 0x09950891, 0x635f66a9,
+    0x7592f1c9, 0x1808204f, 0xf07544ff, 0x77bd1379, 0x0c9b8c19, 0x33669698, 0x5fa49396, 0xfb9dba34,
+    0xaac8f0cf, 0x5b1b7d7a, 0xbc2f2a3c, 0xc3138ce8, 0x77640d2b, 0x7eb25a8a, 0xfcf2b276, 0x234c5f72,
+    0x81811374, 0xd085470c, 0xec448978, 0x30463c33, 0xd2e225a3, 0xda951675, 0xf7e21cf1, 0xe733dfe5,
+    0xa7b76353, 0x4c990633, 0xce69a98f, 0x3c6d4b21, 0x77fb08f3, 0xc847f424, 0x7895e5ce, 0x86ab6b64,
+    0xd4dc08df, 0x8ad2d836, 0x52a780a0, 0xb8ede7d7, 0x78510f72, 0x25c6ad85, 0x9e41cfdd, 0xa5a45fd5,
+    0xbcf5880e, 0x24215425, 0x96b0b2f5, 0x60c58692, 0x02e8a95f, 0xe6d8d936, 0x422ea379, 0x954baa5c,
+    0x9bb8d518, 0x33d1aef9, 0xe06a0196, 0x2dbeb6bc, 0x81cb9e7c, 0x169f3f40, 0xe7bcbd62, 0x87fe76cd,
+    0xfc7af8bb, 0x7379c0a4, 0x766f38c6, 0x1928a4f2, 0xa41c447b, 0xfe4d218e, 0x145d26c1, 0xed08658e,
+    0xf8425fb7, 0x2d6170db, 0xb2ec4c53, 0x00a87bec, 0x5bcb81f2, 0xa42f6cbe, 0x5992def6, 0xe373ec53,
+    0xb7910abb, 0x1dc33bc8, 0x6de9b02e, 0xd920e518, 0xd3bbf5df, 0x20aaa35b, 0x437575c0, 0xbb9b2a08,
+    0x10a608f2, 0xdd45c73e, 0x72d59681, 0x6958b2aa, 0xb5317b95, 0xde666eec, 0xf0d5a514, 0x8027761d,
+    0xa0fcc7ec, 0x7193e5bb, 0xbfe0d208, 0xc5b211f5, 0x6076f866, 0xaf927485, 0x4f2d0569, 0x6f7a239c,
+    0x28edeed6, 0xcc49314d, 0x60becc05, 0x4a57ad8e, 0xe44a3ad4, 0x28a4c49a, 0x618f531f, 0xcd8021a5,
+    0x1c27a458, 0xce99fe8d, 0xc5b7ba10, 0x23fe1cdf, 0x389dcde0, 0x4fe4ae72, 0xe8b02acb, 0x3256ae0d,
+    0x6dabc401, 0x583475dc, 0x2eea459e, 0xd06f2f79, 0x1abaa116, 0x9f9db81e, 0x5e6dc308, 0xb0a66011,
+    0x7eb5b765, 0x0eabc76c, 0x22188e61, 0x3e9fee15, 0x52a3196b, 0x273dac9f, 0x203d5b39, 0xded3d7e6,
+    0x0fc2f285, 0xf7ca6b05, 0xf31ab2c0, 0xcfb99a29, 0x11ed864e, 0xd35b3633, 0xf934a18e, 0xa4b8932a,
+    0x296cce4f, 0x0777fb73, 0xde90e036, 0xe739bc1f, 0x3cdc4909, 0x8eff9a28, 0xeea60053, 0x6e0b9261,
+    0x4d8c5d79, 0x921e7781, 0xd4d1f980, 0x2102f48c, 0x7f211205, 0x84a0f7e0, 0x576f71f0, 0xa8ab85ae,
+    0xe6ef4041, 0x568dacd6, 0x530e7615, 0x4ce69940, 0xf6f12479, 0x6e99da52, 0x4cdfeb95, 0xa8a9cb61,
+    0x7329e930, 0x32ee32d7, 0x513bdf83, 0x99b27f7f, 0x26f0d0a6, 0x7d949ac5, 0x4603e69e, 0x6a8c164f,
+    0xf232f23a, 0x33f3a5b7, 0x90920064, 0x40ff687e, 0xa4ff9529, 0xf01eb09a, 0x5e0dc00a, 0x8dcea0f8,
+    0x1cb33d4b, 0x33031e7f, 0x7d45e77a, 0x831ad4e2, 0x36da08ec, 0xd5f41fd2, 0xfc1a4c08, 0x8d2ff945,
+    0x1ffe999c, 0x5955178b, 0x98069c2c, 0x733e960e, 0x2c3af0e5, 0xb2a80f57, 0x6c8c940a, 0x0f05ae41,
+    0x4081a180, 0xc268ccc9, 0x1560a2d5, 0xcaab1b22, 0x69fab15a, 0x0e184e39, 0x7832cc55, 0x0bdff178,
+    0x730cbe0c, 0xd9950a0b, 0x7a30fde7, 0x2f356d7e, 0x16c5d606, 0x8e1a1a59, 0x351be11a, 0xd72e6e29,
+    0xaef5b919, 0x57645f1c, 0x3c1e59ab, 0xe8cd5cc3, 0xb01a79c5, 0xa0233d0d, 0xeb268f75, 0x53a99571,
+    0x92501405, 0x964e6c6c, 0x2c0a149f, 0x230068b6, 0x4ed5929b, 0xa7a2c7df, 0xcaf6184d, 0x8a520798,
+    0x336e7f17, 0xf7f8ab5a, 0x82757a03, 0x7a0de048, 0x1e3515d3, 0xe7ab21c9, 0xca8e55d9, 0x19cbb4e5,
+    0x7a4fdff9, 0x15a51ebc, 0x07dda900, 0xbcbc7864, 0x7a5cd93a, 0x6dc2509e, 0x8979cc1f, 0x9f9a3888,
+    0x0ab20d9c, 0xc6fd75c7, 0xa51c768f, 0x43ebce10, 0xdfd651c4, 0xf9a5d044, 0x359a0366, 0xd40b29f7,
+    0x2dca03da, 0xc0c7af15, 0x6782c1fe, 0x682a6a87, 0x50afde9a, 0x11ccebfc, 0x413e1e4f, 0x2862f11f,
+    0x8053fa69, 0x9e9ebcab, 0x114602a0, 0x3b7b0c4f, 0xa3dd03fa, 0x140003d8, 0xd54d9d51, 0x7589b5f3,
+    0x319fc824, 0x2b9d60a4, 0x3b71c2c8, 0xc9fe3513, 0xca5fd388, 0xcb344fe5, 0x6d40c2aa, 0x281cfec5,
+    0x0d7f78db, 0x2a19792b, 0x7b24c9c7, 0xff47641c, 0xcf48f998, 0xc314f3f4, 0xfb318f83, 0xb153326f,
+    0x9afbda9b, 0xa0ee4647, 0xe8e920c4, 0x1a89efb9, 0x92222aa3, 0x7e570060, 0xefd326db, 0x601f881d,
+    0xaef168a8, 0x23ecdbf3, 0x4a0bfca7, 0xebd13999, 0xb43923cf, 0x70c7c3ad, 0x0dd03d61, 0xd3623d66,
+    0x702d83fa, 0xabf49c30, 0x3cb115b7, 0xf59d8625, 0x0d67bce7, 0x4a7133e6, 0x50511c6e, 0x4bce2acc,
+    0xb0274d90, 0x8063ffce, 0x4157b18a, 0xc7e573c4, 0x3af885d0, 0x7d5b76f9, 0xa4a993ec, 0xd41d49d8,
+    0xa24f7174, 0x36c943a8, 0x8018b907, 0xf171e45c, 0x5bebbcf0, 0x9f6f224c, 0x85519f13, 0x8910b706,
+    0x6f87b2a8, 0xba92bbce, 0xf8548745, 0xfb2e7ff8, 0xf3d61568, 0xe6846a31, 0x9d8ef99d, 0x94b190d5,
+    0xba63029c, 0xfbce343b, 0xaf0b4010, 0x24c63b5c, 0x92be1146, 0xf8dc793c, 0x55ef938e, 0x52224cbe,
+    0xe4f81917, 0x4d2da2c4, 0x1b2f2d94, 0x2f54d597, 0x31b51707, 0x52c8ab24, 0x01bc968a, 0xebb1fff9,
+    0x3a02313c, 0x43c221ea, 0xfafc2dc4, 0xed53dd0d, 0xb1d94b95, 0x02e00c24, 0x7726e7ba, 0xfe4f04f6,
+    0xad06822b, 0x919ac67d, 0x95391172, 0x973d5712, 0x43f9aeb2, 0x7e121731, 0x333bddb9, 0x7a6cc288,
+    0xce5dffad, 0xa3167acf, 0xedd2d030, 0x559b7f47, 0x7525b403, 0x220175c3, 0xc3bfac95, 0xac349ccd,
+    0x8a904355, 0x309fe11f, 0x49c15417, 0xb73a9e9f, 0x188f3a95, 0x06a579ab, 0xaeb908a6, 0x24a38007,
+    0xbcacbf33, 0x8c26ee2e, 0x805fb87a, 0xe4456c92, 0x85b86f63, 0x2e7fdb4e, 0x780da906, 0x9ed4a92f,
+    0xe58f3be2, 0x72e6c539, 0x01bea727, 0xa2a72925, 0x08bfdaef, 0x9f05dfc3, 0x5387261e, 0x441ea9ff,
+    0x9e32c9c3, 0x84fa88db, 0x4fd572d1, 0x8166e968, 0xf5c8744f, 0x0bf837bf, 0xfee28da5, 0xc4eb746a,
+    0xad59cec4, 0xa08fa5a2, 0xff6d6b9e, 0xaaabd6ba, 0xd127b4bc, 0xac2447c7, 0xf9a40bcf, 0x078c0cb1,
+    0x72fcac89, 0x54fc8215, 0xeb17cfb4, 0x2fb0913a, 0x79542054, 0x359d24b6, 0x21a71820, 0x9aca38b3,
+    0x518afb06, 0x16a8452c, 0x850ca9e6, 0x8c67dc95, 0x10cb393d, 0x25b00881, 0x6e62fb27, 0xe210982c,
+    0x9633d557, 0x53e12f49, 0x6d0acb3f, 0xec8846a6, 0x81c1b2e2, 0xf51fea67, 0x86df0ec8, 0xa8ee4bf4,
+    0xc0ff654a, 0xab135387, 0xd12be892, 0xe89c6bf2, 0x90944c3b, 0x958d1129, 0x3d4f0df1, 0xad52ecd7,
+    0x62d064da, 0x453dcbe5, 0xe0e22050, 0xd330d661, 0xb2edabf8, 0x751f22d8, 0x3da0020e, 0x2aa49eee,
+    0x747e7874, 0xfe27f834, 0x16d11bf8, 0x3faf5274, 0x9178cd3e, 0x36246dda, 0x6163712d, 0x017abeda,
+    0x8522f526, 0xf08b6713, 0x0e70f0d6, 0x44c7a8f7, 0x1750886d, 0x5f836f63, 0x24df665b, 0xff8a1c45,
+    0xebabe62e, 0x0190a7d6, 0x7e04cb43, 0xfc6ae6aa, 0x93aa18b3, 0x8e504487, 0xa704e693, 0xad2cffa8,
+    0x61d1d2d7, 0x8c5743ea, 0x9aefaa5e, 0x0a9431c3, 0xd848a3ce, 0xf5496ac5, 0x3e1dd6c0, 0x2919a5f0,
+    0x34e59a4f, 0x6def2838, 0xfea30ad4, 0x46611ac0, 0x72a1d2f1, 0xa75e615e, 0x2fe1dd02, 0xe15224d5,
+    0x3c51820e, 0x01b1d7fc, 0x754112ef, 0x0b890ccb, 0xef8f9c51, 0xf7b58d91, 0x0ce2e17d, 0x8bc18f30,
+    0xbbe027c2, 0xb6c567de, 0x75dea37e, 0xd4496846, 0x1513df1e, 0x749bbb82, 0x759a2e02, 0x769f42c4,
+    0xeef79fe0, 0x0bd0bc31, 0xc26cff2b, 0x16f4f247, 0x65f19e9b, 0x514d21a4, 0x806d1d48, 0x7acc9683,
+    0xd6663ccd, 0x6446c431, 0x62755ef1, 0xe15d9a2d, 0x3941a148, 0xcc0a1768, 0x3a3362a8, 0xd2165da0,
+    0x44d085ae, 0x1d849079, 0xd7696006, 0xe50ce700, 0xc4d4efcf, 0xd0924d54, 0x9ff2e0ea, 0xc08c305c,
+    0x032e47e7, 0x12a5897a, 0xba596944, 0x9b8944fa, 0xa263f8fe, 0x1e7d9ea1, 0xce29d6d0, 0x1bae4722,
+    0x6a60a020, 0x4c8e33b9, 0xe4c8742a, 0x42453f29, 0x5cfcd64f, 0x748d13fa, 0x78462462, 0x57c8e918,
+    0x9514c4a3, 0xa6bc522f, 0xfccc3dd7, 0xecfff2b4, 0xf8af9c19, 0x34684317, 0xb51a7dbf, 0xd3202ff6,
+    0x9f8e0c8f, 0x97a96d20, 0xb2d24e03, 0xbcb13283, 0x14cba445, 0xe3f769f0, 0x6ee5ab52, 0xc3eeea7e,
+    0x2d06310d, 0xb4785b4a, 0x9901ca05, 0xd99d879e, 0xd5dd87e7, 0x4e01229f, 0x9dfe89fe, 0xd5a9aa9f,
+    0x00000000,
+    0x3a0cca1e, 0x0105cf0b, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715,
+    0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000009713344\
+                         46112864535459730953411759453321203419526069760625906204869452142602604249088 */
+  { 0x00000000,
+    0x70b9cf17, 0xcf2e4609, 0x1395c538, 0xebb5c0d0, 0xb0587b79, 0x9cd34e86, 0x20d9f305, 0x74765f6a,
+    0x24d324e9, 0xb3c355f6, 0xffa1496b, 0xf53a3019, 0x0a5bb4d1, 0xd299cad9, 0x6d8b35b1, 0x4e585dd5,
+    0xb53912fb, 0x88e45ce2, 0x6699e390, 0x9ab6d3a9, 0x9ce98357, 0x30c15974, 0x3c8b6120, 0xa34e6fd1,
+    0xb833ceb0, 0x4994bd2f, 0x9c59a38e, 0x77f4cac5, 0xf88bc1f4, 0x252f24f9, 0xfc4eb412, 0x12413cd2,
+    0xeabf803e, 0xb365fe43, 0xc4c2b85c, 0xb227c128, 0xd2497e3a, 0xd1e68d22, 0x13612ae1, 0xb84b9583,
+    0xd45165d1, 0xef795955, 0x774cdf99, 0x8ffb8fd7, 0x16b4d353, 0x992c4f94, 0xa275a6af, 0xc4358291,
+    0x48ddaa65, 0xcb0d4aab, 0x2b6bea8d, 0x1481d285, 0x2bb4656f, 0x5a164daa, 0x3ce167b1, 0x31ac1700,
+    0xc41b8378, 0xf06c0119, 0x8cee8187, 0xdf9439d0, 0xd8a4b970, 0x9e7a1a1a, 0xce17c9eb, 0x386e3235,
+    0x726367f6, 0x13920f0b, 0x0cb8520d, 0x49480b5a, 0x41d8ba9e, 0x734ba3b2, 0x1a60842a, 0xcd2fcad8,
+    0x6219e49b, 0xe2b64860, 0x6474e50f, 0x62f52309, 0xbb3ddb0a, 0x7a7b54ea, 0x7ed1ced8, 0x77720301,
+    0xf625b766, 0xfe8c694b, 0x1edd6408, 0x4cb995e9, 0xe2ba62df, 0x9be84e6e, 0x1aee305b, 0x7594e3e9,
+    0x4d39ee5f, 0x406140d9, 0xb6dbd389, 0xe98fb3fc, 0xd97577fe, 0x8dbdff6d, 0x03d97efa, 0xe8218f3c,
+    0x5fa17fcb, 0xd4db0130, 0x00582c69, 0x657fb7d9, 0x0e66ce3c, 0xd267431d, 0x5d1d969f, 0xf771a2ba,
+    0x36a7217f, 0xeaa70415, 0x1021ab06, 0xcb1a1c32, 0xc5658b16, 0x800ab63f, 0x0dc122c3, 0xcc0de7b9,
+    0xbb184286, 0x33f26133, 0x577c2d54, 0x52e6ecda, 0x84619c63, 0x71b0fab0, 0x0e84d2c6, 0xafa04507,
+    0x03cac7dd, 0xce49aef9, 0xf26e319a, 0x5748bfeb, 0x3419343c, 0xe3291a78, 0x42f78800, 0xe0c0f59c,
+    0x13d47976, 0x389396e9, 0x46a87308, 0x9e0b0adc, 0x3f75787d, 0x47faa448, 0x3f568a5e, 0x753c8d40,
+    0x2676fe3d, 0xafa9d607, 0x9beaa364, 0xdba71e9b, 0x77f6baf0, 0x08106a23, 0xca57a12c, 0xce1a906c,
+    0xb468abd9, 0xb7f653fe, 0x93be2cd0, 0xe85d1d63, 0x69aa6871, 0x42273fe8, 0x0568ab04, 0xe6614fb3,
+    0x6d939493, 0xd0183d72, 0x082887f9, 0x6c2e725a, 0xb4bc2453, 0x0135d6e0, 0x9283881b, 0x6dc30c37,
+    0xd99e56eb, 0x428c165e, 0x008d01c4, 0x14a6c96a, 0x2be41469, 0x9ed1988a, 0xf03fd8cb, 0x678cde6a,
+    0x53e51c4d, 0xd4fd7695, 0x7a65026d, 0x8ca475ec, 0x182a6e0b, 0xe2241c51, 0x46c8b02e, 0xc71d92c7,
+    0xb16337c9, 0x9bf5ac88, 0xdd9d3dfe, 0x89cd545a, 0xae511a7b, 0x45993bb1, 0x4a0d57c6, 0xa7a4fe2d,
+    0x953b6ca0, 0xad3c6047, 0xee46d164, 0x46cee6ff, 0x74573e87, 0xcf9f5adc, 0x60c62560, 0x03a433b2,
+    0xe21b611d, 0xd2b0bfb3, 0x4273e5d2, 0x48dc6ad9, 0xa443b577, 0xa63d916a, 0x7a711d04, 0x9503230c,
+    0x4817be7f, 0xe11b54ae, 0xf12c7c64, 0x88797f58, 0x9de2e4c5, 0xa66f92e5, 0xb5864c67, 0x26572c19,
+    0x9c14f55b, 0x2ed4eb97, 0xb17545f9, 0x1fc77961, 0xf55ee6c3, 0x7b64187c, 0xfbc291c1, 0xbfe6a072,
+    0x150422cd, 0xe8da2c89, 0xbaaac4a8, 0xfdc2cb94, 0xc35b3aa2, 0x0ac2b292, 0xf0ca4f2c, 0xc68b1683,
+    0x93ef8e15, 0xb786c0bc, 0x1ea70b4f, 0x4a4e87fc, 0x42d9b5e4, 0x75b3a177, 0x0c9df75a, 0xfcc53781,
+    0x594c92b5, 0x2d495af8, 0xbfb6a4a3, 0xf85177af, 0xba8f5058, 0x2a0f04bc, 0xf7c0d62e, 0x8788a241,
+    0x360a0c68, 0x082810d4, 0x0b564ce9, 0xd5bb2fbe, 0x15e835f8, 0x70e99f5b, 0x16df59eb, 0x8186f636,
+    0x0a9cd541, 0x540d99f6, 0x1774a125, 0xc610163f, 0xfaeb66cd, 0x6b62f734, 0x5c7264c0, 0x6063741e,
+    0x2c0bb31a, 0x0047c735, 0x2d93dcdc, 0x6e417181, 0x917c8bf7, 0x0626a88a, 0x27c63cd5, 0xb6b3b207,
+    0x8d3d2bbe, 0x8a64ae78, 0xc18d817b, 0xd805b5ed, 0x7019ac09, 0xce315e8a, 0xd6accfbe, 0x63097656,
+    0xe22a38d9, 0x026b3e5f, 0x90f5e690, 0x725123c2, 0xe44109a7, 0xa5f4a414, 0xd2e9d554, 0x6cb8392b,
+    0x6ed119eb, 0x4d873ce9, 0x92164fa7, 0xdb4c10d7, 0xb8e6879a, 0xc80f320e, 0x050e4832, 0x99a207f6,
+    0x6e4add78, 0x0dff2cdf, 0x6d596aae, 0x03f27c30, 0x0e153948, 0x6e0fb643, 0xc2038033, 0x66a213ff,
+    0x70a9b839, 0xb2eeb601, 0x13fa7e8e, 0x93a1f68d, 0xc1d089c5, 0xaacd5ee7, 0x3e2b0635, 0xd8fcbf51,
+    0x8e81e914, 0xd843d56f, 0x9a01eb76, 0xd14ab1e0, 0xaf3a58b3, 0xa583f34f, 0xba71c6f6, 0xdb85b3c7,
+    0xda2931c1, 0x8bf3d7bd, 0x126f7be3, 0x3920fd64, 0x646d7106, 0x3a103f04, 0x0220a1e4, 0xe6f9eedd,
+    0x68baeb31, 0x9f02ae4e, 0xfbee57d9, 0x67d6c3bc, 0xb75142ee, 0x5624a133, 0x912d1835, 0xa0319b43,
+    0x8e482888, 0x63ca25d3, 0x5e9b21fb, 0x8ea02e78, 0x582f625c, 0x3380e789, 0x3e1ff8e7, 0xc2fb69fb,
+    0x33026eb7, 0x43803379, 0xdcf7dc8b, 0x874c6df0, 0x1b50bc7e, 0x18984b4e, 0xb8cd6d19, 0x0392b2b5,
+    0x2b2a9358, 0x426bcd85, 0x126bc3f5, 0x14049486, 0x75e132f0, 0xe7eaab21, 0x2e0b8410, 0xa3d03fe8,
+    0x43096de9, 0x551c3065, 0x6adcd70d, 0x1278c516, 0xad9153bd, 0x730c8d43, 0xcc3cb94b, 0xa8fdfb2f,
+    0xc185c270, 0x77ca060a, 0xf69bce94, 0x5b875d83, 0x222c185f, 0x5eb1437d, 0xd4ba66e0, 0x6fbc8adf,
+    0x856ae12a, 0xc726b41c, 0x55baa060, 0x87e68e95, 0xf003ff93, 0xd0978f14, 0x9a3635cd, 0x4c3fe483,
+    0x9b4399f9, 0x79a84ee9, 0x42fdd9f1, 0xb4d42078, 0x8d276f5f, 0x59bd257d, 0x7fe57d5d, 0x1b636f01,
+    0xe66d9803, 0x91b7b937, 0x337e01e1, 0xdc9aab41, 0x623229c3, 0x40270b5a, 0xf2e9333e, 0x0b68981f,
+    0xfc65340d, 0xb7b764d5, 0xc2a29e7d, 0xd9a816fb, 0xfcb85775, 0x53d3f737, 0x37806eda, 0x41100cfb,
+    0xf8b04099, 0xd3051341, 0x18683bb2, 0x09c070f4, 0x9d6c23ae, 0x7b376cb8, 0x33ac93c5, 0x90d51393,
+    0xa5cb7dbe, 0x4372d679, 0xb4cf814e, 0x56d75550, 0x8a5f6c50, 0xa4177071, 0x973986a8, 0x6748d09b,
+    0x735679fc, 0x86937bff, 0x6aa502b4, 0xaf0804bd, 0x08e579e6, 0x39b19add, 0xe13c7c5d, 0x09bdc651,
+    0x3eab7ea1, 0xf6441520, 0x0a9e90f2, 0xb0779c90, 0x5b13304c, 0x41182b68, 0x97b1f516, 0x1c2a7e13,
+    0x43cb9684, 0x2ed20b0c, 0xa10f2aa2, 0x0c4238ac, 0x1423b1e8, 0xf022053d, 0xab8aa494, 0x3b82051c,
+    0x47bb9e16, 0xd2312f80, 0xd47fbaab, 0xbbdfe407, 0x5e8d96f8, 0x1cbb2d92, 0xc9eb95d6, 0x36f38dd4,
+    0xfb7cc786, 0xcab0a328, 0xc850b47a, 0xfe73d537, 0xf3825c92, 0xc252757b, 0xdbb4883e, 0x0741a837,
+    0x35abb859, 0xd2bd5a1b, 0x2de540cf, 0x06346b89, 0x47fd80c6, 0xaf8509e0, 0xc95558f9, 0x9804fb77,
+    0xed932c2e, 0x6b13deea, 0x6f7a6007, 0x78bc4d9a, 0xc602291c, 0x3f101ec8, 0xc581b677, 0x256ad42a,
+    0x1863763a, 0x2784d477, 0xa05c765e, 0xe9e30053, 0x2e677921, 0xf2cb47e2, 0x4fd4de0f, 0xa6579cf5,
+    0xf266cdbc, 0x44b5f45f, 0x7c990c92, 0xee96cbe0, 0x166f3cda, 0xfe269b57, 0xf63984c7, 0xa36b8936,
+    0x94fadb37, 0x6ad55bee, 0x3ffc9c99, 0x8ab31ff3, 0xd9432fd7, 0x882aef60, 0x63f73d27, 0xfc27a8ee,
+    0x74bb2448, 0xf5c6b422, 0x7358c1cc, 0xa5746b01, 0x003594a3, 0xe1a14e44, 0x43bec18b, 0x61d944c8,
+    0xc42b06d7, 0x80154b4d, 0xa864734c, 0x5a03f2dc, 0xd9ef6fa6, 0x5369e6e2, 0xdbac9ffa, 0x17a3e397,
+    0xe73ee7c2, 0x39ec0857, 0xe58115ca, 0xa11347b0, 0xf626a768, 0xa54c10ba, 0xd2655f0f, 0xec9fc4a2,
+    0x96574f4c, 0x1539c770, 0x5ab4c47e, 0x0c2f9f46, 0xb0a01cfb, 0x1cb69181, 0x935b9b1f, 0x39fa1119,
+    0x46a04193, 0x79c272b4, 0x5a846ab8, 0xde6319a6, 0xa5ab3bd6, 0x595d3651, 0x6b08502f, 0xaccb0107,
+    0xfa64d1cb, 0x2761298e, 0x9bdecd44, 0xf75a16e5, 0xdbdc069d, 0x195ba2dc, 0x584a169b, 0xd07870c5,
+    0x77a6bfdd, 0x15574e25, 0x7b15c324, 0xe71669b1, 0x0f807dc9, 0x1156f35b, 0xd8c32cfd, 0x7c24566c,
+    0x83dfa53e, 0xbdbc30d8, 0x5d4ce935, 0x6f67f92d, 0xd008912b, 0xa22734cc, 0xec660de6, 0xb1f0ae06,
+    0xf92e3635, 0xeddf91f4, 0xd04e6bf4, 0x5ed21b4c, 0xbd4869c0, 0xd33aed83, 0x1869abf6, 0x436bd0f5,
+    0x9758dfbf, 0xa1dbe19d, 0x23944a68, 0x865b1535, 0xdaa4f952, 0xabe09789, 0xc7c73a0c, 0x07b54f05,
+    0x083db269, 0xdb5f3bed, 0x32d7023a, 0xfdb2b586, 0x74bce7fc, 0x55853012, 0x61e6a9c9, 0x8d4a598f,
+    0xebc669ed, 0xba2ea58a, 0x6a1effb8, 0x3681a694, 0x13090056, 0xaad88d6d, 0x6f73944a, 0xdda47c01,
+    0x6f49b767, 0x01f3ba35, 0x30369eda, 0x869385a4, 0x9038e1db, 0x907d2272, 0x99b014e4, 0x2458d14d,
+    0x4d34f86a, 0xc52931aa, 0x971b19ba, 0xb7d0a65c, 0x23a305d2, 0x8542becd, 0x024904a9, 0x1f51780a,
+    0xc2926c3c, 0x9da7987e, 0x2614250f, 0x12b2231e, 0x80e1de44, 0xbb146071, 0x73a7dd9e, 0xdefa3dcc,
+    0xe0d61aa1, 0xdf649d67, 0x48eed1e5, 0x02cf0eea, 0x224486bb, 0x013dcf36, 0xc7b0ec23, 0x0a649934,
+    0x8101d0b9, 0x7ae3b336, 0xd11b5b6f, 0x77b1d55a, 0x9eaff9f8, 0xe6a7e8f1, 0x24ff66d4, 0x44ca442b,
+    0xdf569d4e, 0x005b491f, 0x7b51cdc7, 0x571dcb2e, 0xe145c8c8, 0xd3dc9db3, 0x6215b881, 0x9ded6803,
+    0xf88d3397, 0x2f0fcfa0, 0xd2428f1d, 0x236ae4f9, 0x1a90997e, 0x7af948a8, 0xaf5343c4, 0x9a165902,
+    0x77fcac29, 0xa41c70ca, 0xa3f53271, 0x68905994, 0x80f7724f, 0x715875bd, 0xd77b8192, 0xc2709255,
+    0xc95309f8, 0xc4ab0da3, 0xd8e9a0ad, 0xd96f67d6, 0x630c640a, 0xeec2ebc5, 0x90a6448e, 0x961eef1a,
+    0x0a153e26, 0x5893a51b, 0xd3b15df0, 0x50cca7e5, 0x97fe75dc, 0xf94fb2ee, 0xed417fff, 0x9144518a,
+    0x1c43a32f, 0xd0514cf3, 0xbb9b4047, 0x6267c146, 0x5f6c19c3, 0xe72ea298, 0x8da1aa06, 0x8246bf0b,
+    0x2b5bdc7d, 0xc98261f3, 0x99cbbf30, 0x09138b11, 0xef90589b, 0x8e5dc810, 0x6ce9bfb0, 0x13809185,
+    0xc8351981, 0x73acaba7, 0xafbe1d43, 0x7ba736ec, 0x3c9b3ad7, 0x755fbec6, 0xfdc9b6c0, 0x06d5b61e,
+    0xbfa91472, 0xb2f06c97, 0x8a724e32, 0xddc806cc, 0xb328896e, 0x596a787e, 0xb9b1161c, 0x8a892891,
+    0xe76cfd25, 0x03985d0f, 0x109c486a, 0x1f243634, 0xa7d9da25, 0xa4bae2b7, 0xf70295ec, 0xbc4f53d3,
+    0x5304101e, 0x6668522c, 0xa49b741f, 0x822ef9cc, 0x32970dab, 0x81348cb9, 0x30112f77, 0xdfe4e156,
+    0xafcc9312, 0x45b4ff0e, 0x50a774bf, 0xa569c582, 0x786db795, 0xdb3d4660, 0x0ead11dc, 0x3cab44e6,
+    0xd20021bb, 0x6a985a12, 0x5f8e3a72, 0xd302cbf8, 0x1a863025, 0x4b2d39f4, 0x19292015, 0x8f3875be,
+    0x26a80fbf, 0xc69279b0, 0xf6c4df31, 0x185f9281, 0xa9cc73bc, 0x55cdf9cd, 0x7456cd14, 0xa52afe2c,
+    0x887ddbf5, 0xb131353d, 0xa16f6746, 0xa2241d01, 0x218d2c30, 0x208fe85c, 0xa0aedd2f, 0x5db4a55d,
+    0x260bdd9c, 0xdb26f5d5, 0x5077fe95, 0x395ffcbc, 0xbb3c573e, 0xc0394817, 0x90d740c1, 0x9dd08c63,
+    0xf8b4224d, 0x97e54d72, 0xbde92371, 0xee0b9f47, 0x0376ded6, 0xebf44fee, 0xc1010200, 0x1c5c7a7b,
+    0xfc194f7f, 0xbd83409b, 0x2a2f1dac, 0x4f75e7c8, 0x028f2b37, 0x9998fd9b, 0xce455fd8, 0xa23d1ca9,
+    0x22473b28, 0xe035dba3, 0xb8389540, 0xc698e46f, 0xba68f47b, 0x6146238f, 0x8221300d, 0xaadd3d47,
+    0xb01e8fa6, 0xc140cd39, 0x36b5a080, 0xadf3b03d, 0x6c7603f8, 0x716fffc2, 0x4fce53a0, 0xfe676e6c,
+    0x03d727a1, 0xea9d6837, 0xc4f658e0, 0x7badb531, 0xff73a2c6, 0xff71a83c, 0x177c2801, 0x974bf2c5,
+    0x65aa42ac, 0x7944fd9c, 0xfa44781c, 0x3691527e, 0x753692e5, 0xc231251f, 0x3b4d8ff8, 0x5c6e7fa4,
+    0x95f55dff, 0x9fcddc89, 0xb41bc600, 0xd373ffaa, 0xd8351c60, 0x69e28eb8, 0x2fc774d8, 0xb1b330a0,
+    0x8667bc4d, 0x8a373754, 0xd6c9fdcc, 0x8e4b5770, 0x442f9004, 0xf0c1fda8, 0x7b219893, 0x32a69492,
+    0xd882ab8b, 0x9305bc68, 0xeaa85f81, 0x9b2da174, 0x3269be67, 0x03f749f9, 0x705cf5af, 0x7d3490a9,
+    0x0b1456db, 0xaf50b772, 0x6a3c70ea, 0x68d62de9, 0xc2515d41, 0x0c3eff85, 0x7277a196, 0x991d207f,
+    0xb631b947, 0x04391786, 0x3b783419, 0x7e801855, 0x5ed94a8e, 0x5160fa64, 0x83c73f4d, 0x5dd48636,
+    0xb9c00a8a, 0x7cc046c5, 0x1b7ca2c7, 0x271b0550, 0xe95b4485, 0xa924dd68, 0x96d4cc68, 0xf9d20a0f,
+    0xed860d03, 0xaec8e3d1, 0x01d3c616, 0xb108a93e, 0x655489e2, 0x0be31420, 0xbb2e9bff, 0xcc05a8f1,
+    0xf61e4ce3, 0x82a1e161, 0x493cda60, 0x99dc4fe6, 0x810103fe, 0x8f1dde4c, 0xf441cdc6, 0x554d263c,
+    0x1d6d4005, 0x3f236902, 0xc2276e96, 0x0a65374d, 0x57d786ed, 0xb41a678c, 0x0f565608, 0x289c1e2d,
+    0xd808f86a, 0x02afd628, 0xd640b1ee, 0x8b0923df, 0x23515453, 0x2805b6f4, 0xad5dcda5, 0x492e2ba6,
+    0x4928980b, 0xfe25c220, 0x2399590e, 0xdaf02605, 0xdef1b1bd, 0xe5ca6a92, 0x5a819818, 0x1c4ad6da,
+    0xe233188b, 0x7938736f, 0x6da95bb1, 0x1a407768, 0xaa57703e, 0xc5ff8875, 0x91abae53, 0x342eddf9,
+    0xa1e686e8, 0x46a3f53e, 0xc83232ad, 0x17b59e11, 0x1496fb0d, 0x1223bffc, 0x3e7b4b29, 0x974de010,
+    0xe4c5311d, 0xd9d1726d, 0x6b8bf8c9, 0xd63ab5a3, 0x120388e3, 0xc78e27e1, 0x1d072cf6, 0x3241bb5d,
+    0xdfff55e1, 0xbce09b08, 0x8d049711, 0x01c11fdb, 0x3651cce9, 0xece92272, 0x055965d0, 0xcdc48dde,
+    0x2214df74, 0x7497b86c, 0x7c0be514, 0x6c7cc6a2, 0x23adef1c, 0x9365fdea, 0xff96d827, 0x65ab15cd,
+    0xf14700c5, 0xf6a3fdb4, 0xad6e6d62, 0x91690662, 0x7ceb936a, 0xb4c1ed22, 0x2928e39c, 0x373f7d54,
+    0x3684c2b4, 0xfa0c9b55, 0x9b521bdf, 0x210e7493, 0x0b4b5c6b, 0x574e920c, 0x312da3d9, 0x0ba17cdc,
+    0x423735f5, 0x59c8e04e, 0x69391cd2, 0xa3190401, 0x839eed68, 0xeabadfb6, 0xacfac506, 0x2d89fb4d,
+    0xd54731bd, 0xbf96d4ac, 0x700e1942, 0x0fc145df, 0x36b4b2cb, 0x30315e0e, 0x8f116750, 0x65b2fbc8,
+    0x49df3ea6, 0xb692e6d4, 0x444c3cac, 0xe00561d4, 0x8eb51800, 0x15ed00de, 0x61e389d5, 0xb6b496a3,
+    0x75bcf38f, 0x0f3d35fe, 0x159a5199, 0x14f4cafd, 0x1e7b8b37, 0x61891c01, 0xce767984, 0xfbefb2e1,
+    0x75782754, 0xcb730e28, 0x7898c04e, 0x696237ab, 0x784bfb00, 0x48e2cd31, 0x15048acf, 0x05b34abe,
+    0x6c0cb5f3, 0xf5fff72b, 0x4e416a3a, 0xd956b7e8, 0x3ec8e12e, 0xba9d93af, 0x46856618, 0x9679986d,
+    0x7d0f37e1, 0x04c57419, 0x835ff41f, 0x0dc55de4, 0x2c0c6c4f, 0x1b642dac, 0x7f853cf8, 0xe9e01523,
+    0x00000000,
+    0x9d06650e, 0x8082e785, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a,
+    0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000004856672\
+                         23056432267729865476705879726660601709763034880312953102434726071301302124544 */
+  { 0x00000000,
+    0xf6f86622, 0xc3e312b2, 0x97471191, 0xe0af6ccb, 0x32ab3593, 0x9570cada, 0x9e66d8cb, 0x42244ec1,
+    0xe142b8f3, 0x8a48cbf0, 0xd990efdb, 0x25b702af, 0xd7b28baf, 0xf5d17c80, 0x8ed16548, 0x3e6157c6,
+    0xc690885f, 0xf4d4550b, 0x2f4f9acd, 0xa1f19d90, 0x343c858c, 0x605d9c07, 0x390c1707, 0x920eef5d,
+    0x38d0f7be, 0x16301854, 0x53ddff50, 0x38f290e0, 0xac41ab6d, 0x498081c9, 0x3d4a486e, 0x079f564e,
+    0x6fc7d1ef, 0xb1e50b7d, 0x21b35da4, 0x6f6200c8, 0xa28c1fb5, 0x0a7d47cd, 0x5d927154, 0x2ca3f2c6,
+    0xa2bd759a, 0x46fa0ead, 0xe17ffedb, 0x42f0302e, 0xbaecaefb, 0x84783e8f, 0x3c3f4b7d, 0x055d948c,
+    0x5b0e29da, 0x997fdea4, 0xa0241f01, 0x507d508f, 0x224ae501, 0x71cc11f8, 0x5d07c415, 0x651c2d7d,
+    0x173e40c1, 0x58378b7e, 0xad1c57a9, 0xbe081d01, 0x4e98b372, 0x0bdfd56f, 0xb21ce691, 0x912bd4d5,
+    0x03e0dbb4, 0xb973d908, 0x54f5afdd, 0x15c8b1be, 0x4d5a873c, 0xb9657f0b, 0xd8f2e68e, 0xd65289e8,
+    0xf07698d4, 0x0aaacabb, 0x5344ea2b, 0xe21e56b2, 0x234e5140, 0x856fcadf, 0x602f811b, 0x52f1e614,
+    0xb2837200, 0x702fea48, 0x38efef0d, 0xa00b0278, 0x8e0b35d9, 0x07e11b1a, 0x876acf0d, 0x2d783696,
+    0x2d03729a, 0xd562824e, 0x288604fd, 0x48e220d2, 0xbc771c95, 0xcc821269, 0xfba414fa, 0x6b62862f,
+    0x146d7d64, 0xf5a51038, 0xfa46e8a9, 0x4de14ec0, 0xa5a400c0, 0x55d4b174, 0x57058105, 0x174170c2,
+    0xdf5bddac, 0xd2039657, 0x7852ac82, 0x6bb37b28, 0x09738273, 0xb269de67, 0xb56b54d9, 0x6c0486d2,
+    0xe33897db, 0xb9fe2cda, 0xf5ce8f6d, 0x6989dc87, 0xbc1a300c, 0xa1afb8d1, 0x2b93563e, 0xba8cf4d1,
+    0x3f0cb24b, 0x5309398a, 0x259f0701, 0x4e1ed19a, 0x600da00a, 0xa4c9ca71, 0x28403228, 0x4c766c93,
+    0x80a7d659, 0x0f7dd37b, 0xce3569f7, 0xdd5c3903, 0x554885cc, 0x4420a3c3, 0xc5699a73, 0xe077e989,
+    0x842fe200, 0x2d5230c3, 0x7a213a89, 0xceef7b0c, 0x9ace5d5a, 0xed6ecf0d, 0xb2617711, 0xc407eb06,
+    0x0fd0ad4b, 0x882e0700, 0x000eca11, 0x0cf59ba3, 0xaefb6be1, 0x102dea88, 0x99c3c683, 0x6c3a3b5c,
+    0x0e4e31ff, 0x25f58dac, 0xc603a203, 0x9b7d235f, 0x57c3260f, 0x070454f6, 0xcf7e8c37, 0x76ca8568,
+    0xbea4ea2a, 0xdb7c712b, 0x93ba7034, 0xe52eeb04, 0xebad50e3, 0x1ef2bf8f, 0x3c37f125, 0x5313861a,
+    0x87a759f8, 0x1762a922, 0x7a92d9cc, 0x8cf4cc6d, 0xa1d7f0ba, 0xc7193082, 0xb5e77a68, 0x2dbd4554,
+    0x6d0fbc32, 0xab06e1e3, 0x1dfbfadb, 0x7742d60e, 0xf9d2fc40, 0x12558a26, 0xe858b920, 0xe8f15e72,
+    0xaf891cbd, 0x0359db08, 0x5c831ab9, 0x4415cb0c, 0x42f20f20, 0x463309f0, 0x614546ac, 0x5529b9a3,
+    0x9fc4583e, 0x4bfd681b, 0x6305efdc, 0xb8a3097c, 0x2d07243a, 0xe8a1491c, 0x61c3d200, 0x95401425,
+    0xedb408d8, 0x779fea9c, 0x7fbc9830, 0xf01dafec, 0x2322015e, 0x4044fb3f, 0x44ee7e02, 0x07e8600b,
+    0x758cf5cd, 0xdc25c521, 0x48fb6cf6, 0xf48089c6, 0x3eaf059c, 0x9513cd78, 0xc26ccfe2, 0x1a1f0e53,
+    0xff704951, 0x99b52289, 0xbee4968c, 0x3f5bd5a5, 0x73bd9f65, 0x1de409e7, 0xd09588c9, 0xa841dc83,
+    0x8055804b, 0xdf88173c, 0x99330471, 0x2b265875, 0x1aa32c6f, 0xd43516cb, 0xb7d87242, 0xfcebd980,
+    0x1b03212a, 0xe4a10053, 0xf81bb05c, 0x05f3adaa, 0xf40abf6a, 0xaac161fa, 0x9d0fec0a, 0xd4f52a97,
+    0x976d08f6, 0xa32df7e8, 0x43e77105, 0xf12e45e8, 0x168f208b, 0x600ceb2e, 0x4a03ac0e, 0xafa421e0,
+    0xb5299e41, 0x737f9dbe, 0x9c11cade, 0x0a2387c5, 0x2961fe45, 0x790cdaef, 0x93222ee4, 0x23626443,
+    0x246e9614, 0x85c4b6ee, 0x2fadbc11, 0x6db50bd7, 0x23e6f3f4, 0x77ebbe78, 0xe626e306, 0x223214ba,
+    0xb0d22baf, 0x6f670f8a, 0x92105846, 0x70d97b4e, 0xbe4bcee9, 0xc099803d, 0xeb9d1228, 0xaed68346,
+    0xbf49d716, 0x5e0dd17c, 0x86dceac5, 0x0d15608c, 0x4601de61, 0x4cd89fce, 0xd2e17580, 0xc2f196a9,
+    0xad20de4e, 0xa22fdfb5, 0xace4e265, 0x2f2f4f7a, 0x70875b84, 0x58e60d68, 0x1907d26f, 0x32116d9c,
+    0x86f044c1, 0x18c37db2, 0x985031a7, 0xe4d3df5d, 0x679aeae2, 0x5607ac34, 0x184016ab, 0x18834189,
+    0x2ce0aa90, 0x049409dc, 0x527463ea, 0x0533465c, 0x3129629f, 0xecd49b39, 0x0ba6874d, 0x8f762ff9,
+    0xa86b817c, 0x8f5d5010, 0x81ec0225, 0x59e2c184, 0x35c6934f, 0x41071c29, 0x7b1d966e, 0xf958c91f,
+    0xb5a81ef9, 0xd1918c4f, 0xe8a4a84d, 0x528baa24, 0x1bf3bc7b, 0xa65ce352, 0xcb2b6f39, 0x00fc49df,
+    0xa18fa957, 0xd2964d16, 0xe43f96e1, 0xd153c155, 0x4be20b28, 0x563c7fe5, 0x8df69467, 0xc6a0bf24,
+    0x64ecf912, 0x2c12ad32, 0x1d7b6efa, 0xaf9747ea, 0xd6af272a, 0x5e4d1ae2, 0x5556eff6, 0x280126cb,
+    0xce2aefde, 0x2521be6a, 0x6b2db943, 0x428936b4, 0xd34d3ddc, 0x1e7e4d27, 0xd97ff869, 0xab861d0e,
+    0xea822de3, 0x2fbae477, 0x37c8ea64, 0xb6db86ca, 0xccaddcb0, 0xb33e1db7, 0xc9f1abb5, 0x40157b68,
+    0x17f3f0b4, 0x42fea4fe, 0x436e616e, 0x6524c5a3, 0x7eae4eaf, 0x38b338c0, 0x6ebd458e, 0x659bbe70,
+    0x0931b2f6, 0xa0b74c2e, 0xfda05ec6, 0x30044d9d, 0x64be58b2, 0x350a3daf, 0x610b3c90, 0x96de5d41,
+    0x2988a5fe, 0x9456aeaf, 0x198659b1, 0x081bb1f3, 0x0c5bcb19, 0x3c4c963a, 0xe403c01a, 0xade90a31,
+    0xbd09fbb2, 0xf82a5502, 0x4f2f8102, 0x34f2612c, 0x752d5d57, 0xe58e2238, 0xdd048dcb, 0x3733614a,
+    0xa1373d2f, 0x9e13f2c7, 0x8a53e3fd, 0x5e02d910, 0x9267bee0, 0x3b76212c, 0x8c8b4a63, 0x9bebc666,
+    0x0d915c1f, 0xd430b398, 0x2f89b856, 0x155e27ec, 0x1c1c3d72, 0xff0b5285, 0x381f0a2d, 0x059f5d76,
+    0x822d872e, 0x05f194d4, 0x26f0dd33, 0x2723e617, 0x21bcc05e, 0x4011d288, 0x6fa8ac9b, 0x577744e2,
+    0xbea0d18c, 0x06c1ec63, 0x24777cc3, 0x84ac4db9, 0xbcfab65e, 0x0b3d0014, 0x9a6c14cd, 0x42468a3f,
+    0x90232494, 0x4fd2ed86, 0x9ef097c1, 0x80c56b11, 0xb6a24a71, 0x9766af85, 0x182db8cb, 0x28af156a,
+    0xf92e8035, 0xa2cab7c4, 0xf692ae03, 0x349259e1, 0xb60c782c, 0x39c15bef, 0xb7f7cbc5, 0x782e5602,
+    0x84c66b53, 0x1cd00981, 0x6040dfd0, 0x1730c2b7, 0xb8b05ad0, 0x4e9eccf9, 0x6975d09b, 0x06c18630,
+    0xdb83e387, 0x6ea66236, 0x5628453c, 0x9510df84, 0x0726a191, 0x53959233, 0x19da5115, 0xb612696e,
+    0x149bc0b1, 0x170aa711, 0x3da5757e, 0xf42e02c4, 0xf0f491e1, 0x5864bbb0, 0x416f455c, 0xc8f7e624,
+    0x487378d5, 0xe3cff1c8, 0xdf2018b0, 0x5db3237b, 0xc6d35310, 0x2f809860, 0x7a67abef, 0x64f742ec,
+    0xbe5acbd6, 0x9b041dd6, 0x7f679bc2, 0xf961f126, 0x748effd9, 0x52d5691d, 0x428fbe95, 0xd50e2b54,
+    0xb43bca67, 0x13fecf61, 0xf066e8c6, 0x56519ff2, 0xbdd39cf1, 0xb70daa53, 0x90cab7be, 0x5b328ace,
+    0x83a16c9b, 0xd4dcfd67, 0xbd3ee05d, 0x2e6f5a14, 0xdf9cd9cf, 0xa13ef84d, 0x2f6223d3, 0x704845dd,
+    0x9121d12f, 0xa1a633f6, 0x3f4822fa, 0xa690eaf9, 0x52a6312f, 0xd8ec7d12, 0x325ca550, 0x95564089,
+    0xacce9c2b, 0xe162defb, 0xffcbb9ec, 0xe5fcf32b, 0x8c517ca0, 0x7dcdc3f9, 0x39466e67, 0x672af20d,
+    0xb6ccfa39, 0x706ab922, 0x2bcc2951, 0x3df69d9e, 0xf33a06bf, 0xf784ef72, 0x089aa01a, 0x2525318b,
+    0x93a9ef50, 0x93be5450, 0x5070ce2e, 0xc3e2d719, 0x73597d78, 0xcae9196c, 0x59d29a28, 0x513be83a,
+    0x18057d7a, 0x309eab33, 0x9269a773, 0x963d05c3, 0xc84dfa93, 0xe64c2707, 0x0627a2f2, 0x52460e1a,
+    0x8d72b971, 0x8db1f62d, 0x96f8816f, 0xaa8aa2a3, 0xbaf43267, 0x6e536b20, 0xdea5c506, 0x6c24b66b,
+    0x18c09e15, 0xa89df50c, 0x0bac6d0c, 0x356d7d7a, 0x8b002fc5, 0x95e7a911, 0x7d23b52b, 0x7ce2f0ca,
+    0xb6987995, 0xc4171c82, 0x837fc787, 0x78b01e23, 0xa2530d4f, 0x48b90d3e, 0x1d75a393, 0xbc24c837,
+    0x38924c9f, 0x578585e3, 0x85cb6660, 0x142f7a21, 0xe8592df0, 0x739ffffa, 0xfc4bf82f, 0xd68ca1e3,
+    0xf7d581a8, 0x8804cafc, 0x75fa75e9, 0xf35f9326, 0xefcd7e9b, 0xaa1209cf, 0x93c5fcf1, 0xac4a3e86,
+    0x02f176ca, 0x8d52e64f, 0x39fda303, 0x1f2a481e, 0x3f32ce4d, 0xc85adfc6, 0x9a9f93fc, 0xcf5fcc49,
+    0xbe78f085, 0xa0bb6599, 0x964aba21, 0xb759ad88, 0xccff8594, 0xda058e04, 0x3309fa0a, 0x1c62c0d8,
+    0xbebd329e, 0x3e216035, 0x53ea2509, 0x5b6d8f7d, 0xa56238fd, 0xe9b6867e, 0xaa3afe76, 0x3fe6a5b2,
+    0xe7e9b9b8, 0xf1ed7808, 0x1512f7b2, 0xe0864452, 0x44b81d1b, 0x5ca7c59c, 0x130a71f3, 0xbe230311,
+    0xef42eedb, 0x3b6cb5bf, 0x492dc418, 0x75ca98d0, 0xbc6e7991, 0x1f248d83, 0x4e11e5cc, 0xb987edda,
+    0xcd8f6e3a, 0x86ec0b75, 0xc8c5a315, 0xccf88063, 0xefa95b95, 0x8157e244, 0xf1b67c7a, 0xe3096ca5,
+    0x6735dee5, 0xed3a6d1d, 0x2d08e701, 0x26dd93ef, 0xecd649ec, 0x6d979791, 0x2963fb5d, 0x3f4d0565,
+    0x7cd2c3d3, 0x3383b2c2, 0x39db7fdb, 0xc4e857b8, 0x552a1697, 0xcadd9e05, 0xc530763b, 0xf0fc154a,
+    0x69fcc9e1, 0xe14ed597, 0x5346a683, 0x0648e86c, 0x4f6792d0, 0x990157d1, 0xd98631b6, 0x5679eba9,
+    0x3856eca7, 0xf6f96c48, 0x6cee86d0, 0x8591cf05, 0x0be1aad3, 0x53c9e951, 0x2f325056, 0xb8e662c4,
+    0xa1b1c8d7, 0xb8d54ccd, 0x97bd970b, 0xb149976e, 0x4b7fb89a, 0x4d67e89a, 0xf115e25c, 0xb666d52e,
+    0x79836fe0, 0xb5c5c101, 0x9fd812fc, 0x72706084, 0x5f9f4503, 0x4261ff85, 0x4976c906, 0x10264026,
+    0x592b378e, 0x5fd42467, 0x7efd6de2, 0x0af79506, 0x6557dbbd, 0x21ed998b, 0x6a6e65e8, 0x284fe95c,
+    0xde17d8d4, 0x6987a058, 0x3c4856f5, 0x8c827e84, 0xf5c911d7, 0x9478bdc8, 0x81415dc3, 0x71e2e9ad,
+    0x8d201d44, 0x0c134554, 0x59796db4, 0x5fc78fb9, 0x863b4703, 0xa4f3a0c6, 0xe3f68bdf, 0xe3f8a001,
+    0x4a5da573, 0x4a627174, 0xd1b5bfe7, 0x1f065934, 0x2f2353a4, 0x72438149, 0xf2f5ed3a, 0x3a5643ec,
+    0x027be601, 0x1b8961a3, 0x55c6362a, 0x2496f71c, 0xd7a9dc74, 0x1e08d88e, 0xf25da42e, 0x7a719fbc,
+    0xd6ef2942, 0xefd95b6b, 0x317937fe, 0xa0d72827, 0x7ec159d1, 0xf8c6e254, 0x5a0cd622, 0xcb513bd5,
+    0x787d8baf, 0xd69bf423, 0xfc9f73fc, 0x852d138a, 0x4406aeb4, 0x493e7cc3, 0x8a965442, 0xb2f7cbb6,
+    0xae92875c, 0x8df21d64, 0x189294d9, 0x64d5e143, 0x9122d1dd, 0x40f6faa1, 0xfd7d3fcc, 0x88000a73,
+    0xd3f29db2, 0x6d5a4b3e, 0x12d8a268, 0xddd60fc2, 0xf0ce5f28, 0x991aa1da, 0x58acb938, 0xf21a7546,
+    0x452c1f0d, 0x3b17e106, 0x7070068a, 0x0ff520ea, 0x13b1421d, 0xe7f4e1d6, 0x838fda21, 0x409cdef0,
+    0xb3224464, 0x97b3fd7e, 0xf39bfead, 0x07bd519d, 0x728ff21d, 0x90338cb4, 0x0b85e130, 0xb5d8eae8,
+    0xd7920a30, 0xd76d2653, 0x51b47169, 0xb4cb9e5e, 0xcac7d5bc, 0x853c971c, 0xb4a02b18, 0x58bc8daa,
+    0xd3a95804, 0x1744d7fb, 0x78bdfa43, 0x6c46a221, 0x00976d67, 0xf42e57ff, 0x8616a83b, 0x062e94d8,
+    0x1d3ac2ff, 0xea8b9f16, 0x9cc02288, 0xb8394445, 0xa1c53589, 0x6d8fa567, 0x06ef4517, 0xfae5d27d,
+    0x3c3ab9a4, 0xca5d9649, 0xa1aa7c2d, 0xe5db7088, 0x45912688, 0x195c9eeb, 0x017ef0c0, 0xba79d208,
+    0xd6e4f415, 0xf039777f, 0x92cca588, 0xd194852f, 0xc83de10d, 0x72e97c7c, 0xa9e3fd82, 0x7439ae15,
+    0x5a63246a, 0xf475e924, 0x3fe58c06, 0x177e146d, 0x461099a8, 0x5769fda6, 0x343d9367, 0xc884aec1,
+    0x76d29a99, 0xef07e66e, 0x93506efa, 0x97562fee, 0x88d87e3a, 0xc512b339, 0xcc73e40b, 0x08500bad,
+    0xe9c55bd5, 0x9fd8f129, 0x8f3246f4, 0x95e607f1, 0x73edd5d2, 0x6a8c8fb3, 0x54837cb2, 0x28cdbbbb,
+    0x0d68e707, 0xb5893e68, 0xdaaeb71e, 0xce4cdba2, 0xecaf156c, 0x81cf9211, 0xf114f712, 0xd1da2ab4,
+    0x27c28fe3, 0x726e140c, 0x5bbe1f92, 0x59cf5aab, 0x752b9652, 0x44288e02, 0x76d233c9, 0x7687a698,
+    0xaf2216a4, 0xd4eadc99, 0x12057bd7, 0xcc31af54, 0x5720815f, 0x07447d04, 0x65f9bdee, 0xb05c6210,
+    0x9ac342f4, 0x73afa9b2, 0x0e346252, 0x8c76a735, 0xc4d04d34, 0x7d74f74c, 0x426b1cf5, 0x5ecfde32,
+    0xc222426c, 0xbca5660c, 0x79b92b90, 0xa4f29a20, 0xa549ed4f, 0x496a0cff, 0x0dd96642, 0x106f8bc5,
+    0x12d0b0a2, 0xf5d09fcb, 0x1159188c, 0x6232cbfc, 0x9266a6ae, 0x3c047c5b, 0xb695aa8c, 0x1737c940,
+    0xe675a4b8, 0xbd30382d, 0xe2059537, 0x3fb6a324, 0x98ad8651, 0x214d24ec, 0x88c8e5fb, 0x54d56230,
+    0xcf48e837, 0x7a476904, 0x35e6d57a, 0xab4710b0, 0x3cc0a95e, 0xa202df47, 0xd4ab3821, 0xca981a85,
+    0x8ed24146, 0x7ef8b001, 0xda4ce3fe, 0x3b3e107e, 0x6a591197, 0x48b9c8c4, 0x59c4bb21, 0xe10021c1,
+    0x6b8dd273, 0x8d0d9af5, 0xda1dd1fb, 0x1e303bf3, 0x65d2b0e6, 0xa92e21ae, 0x62137d62, 0x37e7408f,
+    0xe7950fe7, 0x786bc89d, 0xc94bd155, 0x14f093d6, 0x0a68f48c, 0x4900611b, 0x8091b320, 0xe5c4b827,
+    0x33a1bcc2, 0x490f4902, 0xe3e12564, 0xde779c75, 0x86024454, 0xe88c4d42, 0x7522a0e1, 0xed04c1e3,
+    0x486d046d, 0x5eaafeb9, 0xb3d2f521, 0xe3523efe, 0x3400a81d, 0x9deca009, 0x08fe8a3f, 0x9f49eb73,
+    0xa21901c6, 0xe5bd1343, 0x9df6cb4e, 0x23f9f51a, 0x425bd471, 0x0316c692, 0x9dbd0cec, 0x11630717,
+    0x63f4a626, 0x47aa97ef, 0x2240f06d, 0x8deb8b26, 0x3653eace, 0xec4f061c, 0x8ec2b2e8, 0xc2f68ba1,
+    0xd33b8347, 0x39022e1d, 0x54d43fc6, 0x63507d6e, 0x9861d4ce, 0x41963d00, 0x7fbd7872, 0x6c4da7ab,
+    0x30fb1e6f, 0x27507f64, 0x22a4819e, 0xa07ff7db, 0x0cfc5936, 0x123be806, 0x3ecf392f, 0x44e86e34,
+    0x8a3f5373, 0x2fd3b346, 0x2c17ae70, 0x5779f077, 0x9433f19a, 0x75925eb3, 0x27ab93b6, 0x73a807db,
+    0x35320b89, 0xc32c2932, 0x6e3246a7, 0xb51c82b8, 0x8f882be7, 0xb2fc1397, 0x15064a24, 0x2e328f00,
+    0x5b5e9135, 0x1431ebb5, 0x277f237f, 0x0b03ab09, 0x8840d54e, 0x7f240ee8, 0x8091c028, 0x4e5fd356,
+    0xeda62c32, 0x31e8be4a, 0xb8ebf9ec, 0xf0ed91a8, 0x29025fa3, 0x809e7da8, 0xf6a7069b, 0x964a8925,
+    0xc31b00e1, 0x0d48bbc8, 0x4c0d2ac9, 0x2d87b3e9, 0xb9b5f678, 0x6fdf119b, 0xb30553e1, 0xcc8660f5,
+    0xcedcf85f, 0xb148b183, 0xe23e5543, 0x39a4b204, 0x2a7dd2ab, 0x67f53475, 0x995fef50, 0xf21a312d,
+    0xb5809a53, 0x794a8675, 0x50e9671f, 0x116415a7, 0x6d273ca9, 0x2fec7231, 0x43d5a983, 0xf4b00eb8,
+    0x00000000,
+    0xce833286, 0x404173c2, 0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5,
+    0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000002428336\
+                         11528216133864932738352939863330300854881517440156476551217363035650651062272 */
+  { 0x00000000,
+    0x5e32f496, 0xc1c472dd, 0x004862f7, 0xc9afa690, 0xa507bbcb, 0x69983e57, 0x3cc69451, 0x87d29e54,
+    0x69037a84, 0x59f2ffcc, 0xae0a15fc, 0x3426d10c, 0x82d90e81, 0x3d078086, 0xacf7bbdf, 0xf64f39f7,
+    0x91b21307, 0x93e0d352, 0x7c70b205, 0x6fd6dd6a, 0x73d87e6b, 0x748c4fa6, 0x4c3678da, 0xe7d0bacd,
+    0x0dce1803, 0xd22179e7, 0x51823373, 0xc71e6e44, 0xce61b7f7, 0x842a6d87, 0x44d07975, 0x3d16e695,
+    0x902100bd, 0x1fad81a3, 0xff8a09bc, 0xe9e578a4, 0x5a6b87b0, 0xde5ddebd, 0x7045cfe9, 0x49f99665,
+    0x94272394, 0xba0b91d5, 0xcb0a03d7, 0x0d77348e, 0xfeb27a5f, 0x010b13de, 0xbab9a27f, 0x62ad2722,
+    0x67e70f3c, 0xeb24f893, 0x3805e433, 0xda6cfc12, 0x5b7547c6, 0x65779129, 0xfd94c88a, 0xa635108d,
+    0xe7440cca, 0x1c9a6ede, 0x7b97de74, 0x482611e2, 0x57ca89b7, 0xe110990c, 0x4cb5c43e, 0x5564ee42,
+    0x8a3daf45, 0x3929e30d, 0xb70a689f, 0x9b78d69a, 0x60c3458c, 0x2ba9d94f, 0xcb7e2709, 0xa2d4e590,
+    0x94998aea, 0xdbd73390, 0xc3c84f67, 0x0cd7f313, 0xdedddc36, 0x4d287bbf, 0xb02fad97, 0x46822a8c,
+    0xcf8d8706, 0x87608e02, 0xfb5de93e, 0x89667c62, 0xefe42bce, 0xa9f728b6, 0xcb579a70, 0xc7476b6f,
+    0xd88014cd, 0x38ded204, 0x7e6f4010, 0x98c50808, 0x3f67b232, 0x1aa1ebe8, 0x997f2f90, 0x57b8dc26,
+    0xc70e15fc, 0x5ca6d726, 0x77c6d5bf, 0xc7d6a6ae, 0xe1ea5729, 0x0267c753, 0xbceead20, 0x8fc5577a,
+    0x29bbe766, 0x49f54dd4, 0x1661d901, 0xe8198409, 0x30c145f0, 0x99189bd7, 0xa1263527, 0xed02f2e5,
+    0x9c8ea876, 0x306837ac, 0xa2adfbc1, 0x501056ab, 0xf2efac8b, 0xbd0fd744, 0xe3f6377a, 0x1bf2e574,
+    0x49d436e3, 0x8cd97338, 0xa2d3fcaa, 0x5533243c, 0x6dea85d0, 0x922ec077, 0xfc6a56f4, 0xc0e8521f,
+    0x3b94a29d, 0x54acfad7, 0x6244880c, 0x1e8878da, 0x7a097d49, 0x8c295d49, 0x4d7ac573, 0x5608f931,
+    0x4892f789, 0x6bcccc17, 0x8b0e91d8, 0x9cb16deb, 0x8d4c23be, 0x6ab04220, 0x39bd90be, 0xdfc10525,
+    0x84c0699a, 0xd1aa166b, 0x923f6a6c, 0x1ba5b4a7, 0x698d1cd9, 0x510792fa, 0xfc101067, 0xbcf126db,
+    0x25985f6e, 0x90fc57d3, 0xc3bad23b, 0xbb7b6ae8, 0x7eb63a21, 0x2b1d7b75, 0x73423a6d, 0x582c8c8d,
+    0x560c2b3c, 0xe1d4b5db, 0xf9aace18, 0x986bd9f6, 0x3854e339, 0x6f023edb, 0xe3b0f1d1, 0x58b23f12,
+    0x04984e41, 0x4c40f613, 0xb14f3ae9, 0xe042568d, 0x347c3c9f, 0xb67979de, 0xc825d753, 0xbf164204,
+    0x914215da, 0xa00e4d63, 0x13f9c215, 0xd90d556c, 0x2e91db7b, 0xa059f79d, 0xf2339a0c, 0xd7aa347d,
+    0xa9ee28e5, 0x9e65839b, 0x5806dbcd, 0x5aad2fe1, 0x2c0874d0, 0xcb867573, 0x777887bc, 0x13bbce3c,
+    0xc330c7ac, 0x2c56cefd, 0x5db4b428, 0x4e736f9f, 0xeecfc7e9, 0xf34f9586, 0x17e01ead, 0xc453033e,
+    0xb50c0dca, 0x343e4845, 0x2046cb37, 0x332ade3d, 0xd3f54ded, 0xf7f584e4, 0x39964a37, 0x81c2adcc,
+    0x68ee8e64, 0x5152e4f7, 0xa7fda38c, 0x1f3ec1bd, 0x1dbe854a, 0x814c0342, 0x9c7ac070, 0x5568b759,
+    0xe20e7a41, 0x7d8f89d9, 0x3685ca71, 0x893b9829, 0x95e8902f, 0x0b349e86, 0x3cdd5ff6, 0xb120ccdd,
+    0xaf1da280, 0x3250bee4, 0x6fc59267, 0x01a61b4c, 0xa67f5053, 0x4142863d, 0x5fa7c76d, 0x83c70f0e,
+    0xa233cfcd, 0x96dfd3eb, 0x2ee5ac0e, 0x547ffe91, 0x281d1b4f, 0x8dd924ce, 0x5a7d31c0, 0x10cb79a0,
+    0x8695f4d4, 0x75d6a245, 0x07bfe245, 0x7d7c97d7, 0xed5b1bfc, 0x8937b991, 0x4a913e5a, 0xdc5ed1c9,
+    0xa1053efe, 0xdbc52e62, 0x3950a6cc, 0xbe8473e7, 0x5807fecd, 0x9e80faf6, 0x1eb45359, 0xcddcf183,
+    0xd7a7b253, 0x4a7daad6, 0x64cea7d1, 0x78297c76, 0xf93c98ba, 0xddcc5dc7, 0x6adf9c4b, 0x850c86cb,
+    0x36fa8802, 0x867481db, 0x50fefcc3, 0x423e6da3, 0xea6aa1d3, 0xf6055414, 0x8d6565fc, 0x23f3c3b3,
+    0x11d310d5, 0x4c3706e1, 0x1e756e32, 0x501ec35d, 0x6fb48128, 0x27bd5f5d, 0x3cda1984, 0x5f803e4f,
+    0x0c4c33dd, 0x82fda109, 0xae6aca3d, 0xd00ec8b2, 0xa4b24f99, 0x7bf4f2f9, 0xba74b13c, 0xfe05a376,
+    0x815b2f4b, 0x6439b904, 0x073326c1, 0x414f7a2c, 0xf560da6d, 0xb541b4fe, 0xa5660ea6, 0x69276473,
+    0x27def498, 0x4cad63cc, 0x15a6f05e, 0x34bb26d7, 0xe8fac715, 0x99107787, 0x1e009131, 0xf0e70e9a,
+    0x42d5b4f4, 0x8f35d421, 0x1777a419, 0x64c781ea, 0xa4dfadde, 0x6537aa48, 0x1b3b3a7d, 0x6dd86457,
+    0xda4a10ef, 0x2a57c5cf, 0x563031a8, 0xaad538a4, 0xa4dd6bbe, 0x901a9665, 0x0f422760, 0x256bced0,
+    0xe3405976, 0xac9378e8, 0xd836ba22, 0x03bf8539, 0x4ac24b52, 0x116353d2, 0x1732e789, 0x2b5899bc,
+    0x8dc8f548, 0x85233265, 0x30b8f294, 0xc936bd12, 0xb7c59b68, 0xcd885d3c, 0xb15f2244, 0xabfe5a3c,
+    0x28942473, 0x1200e4cc, 0x37c77953, 0x98c31352, 0xeda68b18, 0x88884b72, 0x3140c3e1, 0xf67e494a,
+    0xa7dac94f, 0x5ae12e05, 0xc22b9f7b, 0x4834ab6d, 0xd24fb802, 0xa51f2706, 0x05ddaca8, 0x36e59a23,
+    0xa13043d6, 0x05290aff, 0x064e051a, 0xdbeec3ca, 0x74ef2ecf, 0x3f609d41, 0x6df06bce, 0x9fdd5a31,
+    0xbd711d7f, 0xba6eb2db, 0x3cf75033, 0x024d24e1, 0x5593266a, 0xe163c51a, 0xaf0c4628, 0xf0b7b915,
+    0xab9423bb, 0xa0645f19, 0x59a9cae4, 0x255c460b, 0x8918d957, 0xa0e70e66, 0x4ae4f46f, 0xaf64fc92,
+    0x682babea, 0x46d5ca6b, 0x726e416a, 0x76376b38, 0xab11ed9b, 0x458e5c58, 0x466be409, 0x571a15cf,
+    0x8fc05b51, 0xb744a98d, 0xbd9fb5c3, 0x4712231c, 0x6509a036, 0xabda05cb, 0x23bfde4f, 0x480073b6,
+    0xff2918e4, 0x86b5b761, 0x58d203c5, 0x8b26d5af, 0x311072bb, 0x925ca919, 0xc6416206, 0x0d43d8ab,
+    0x53297753, 0x3284dfe6, 0x4eff4777, 0xb92d283e, 0x6b8ebaff, 0x2917d050, 0xb9fb9b71, 0xc1e6442c,
+    0xb9975e02, 0x83dcfd2a, 0x6a5d2c65, 0x20342c78, 0xa24a0a6c, 0xdf9bcb95, 0x7ca8d890, 0x9e69841c,
+    0xe9c86e37, 0x0bf283b8, 0x4b245a7d, 0xf3545661, 0x80bda146, 0xdf8cc0fa, 0xea4720e6, 0x7f8b22fe,
+    0x0fd33bd6, 0x92a52296, 0xd225ec43, 0x113a4cf9, 0xa782b29c, 0x2d15c134, 0x38374621, 0x529ee3e3,
+    0x0a7f205c, 0x9fbabf4b, 0x41ce185a, 0xab0a44e2, 0xf9904a73, 0x37661f28, 0x3194fa5d, 0xcd922f1e,
+    0x1fbe1047, 0x77511f1f, 0x9ac20cf1, 0xde7e5cee, 0x20821cc2, 0x4001dd77, 0x16de56c8, 0xae8b7e79,
+    0x0f76d099, 0xdc18725e, 0x6e5808e2, 0xc5e38ffd, 0xb60675c4, 0x2fb0348b, 0x443e08c3, 0x52ca8448,
+    0x16c402f4, 0x6bfaaec9, 0x4c17cb6f, 0xc5f73eb2, 0x4990f407, 0xa0987eaf, 0xaa004658, 0xb7030906,
+    0x84bf33a1, 0x09d0c558, 0x11361452, 0xd3666a2a, 0xaaa46e77, 0xbacd8487, 0xab8a1029, 0x496a0eaf,
+    0xb3f23a4d, 0xd8bc780e, 0x95d89157, 0x7a3fb63f, 0x2d0067b1, 0xf082c3c5, 0xd4821ba7, 0x3526dc6d,
+    0x9d745786, 0xbe4b7a5f, 0x37a49133, 0x9ba810ed, 0x52c67506, 0xa2643d22, 0x7f935e31, 0x9f511abf,
+    0x6dea25cb, 0x9a1a009f, 0xb596de5d, 0x575038e9, 0x8e177e26, 0x045b0f84, 0x2f76ae39, 0x22db2641,
+    0x8c9c8b4c, 0x51b764e1, 0xc5f2eac8, 0x7aebfb22, 0x1ac819ac, 0x3b24d885, 0x35193109, 0x2993cef8,
+    0x991e5594, 0x327df842, 0x1cfe3570, 0x494c4b23, 0xed1d4b98, 0xd8828d3b, 0x11286e94, 0xd674be05,
+    0x31107703, 0x6caccf58, 0xff49d0a8, 0x29e9d271, 0x57d98231, 0x644ae3f4, 0x8c908bf4, 0x817f46c8,
+    0xaeaa0612, 0x059e13cd, 0xe1d08663, 0xc66717f5, 0x26ac9f44, 0xc071d6b2, 0x24d5799a, 0xff659b6f,
+    0xd07b081c, 0x71ef0ac9, 0x606da98f, 0x80091f38, 0x5114f8a6, 0x85fec42b, 0x4fc8f46c, 0xa58ced8e,
+    0xb4c9ab34, 0x73c08184, 0xaefb5bf6, 0xd18692e7, 0xde76d3a7, 0x4fbdecf1, 0x9ee52176, 0x5ce85444,
+    0x98c8a8a4, 0x9ef8ddee, 0x9cbe07ea, 0x653b957f, 0x39bf2e75, 0x725af5a9, 0x87009923, 0x46b505b2,
+    0xd651c4c7, 0xd6a0ade7, 0xbf7d0cdc, 0x9dd5eb3b, 0xc62ebc9d, 0x485485a1, 0x79cdf6f1, 0xdc10d9af,
+    0xdefd653e, 0xc764be04, 0xa3acd9dd, 0x3161b3e2, 0xc8757dc0, 0xaa894073, 0x4a16fcda, 0x0442f4b5,
+    0xe56288b0, 0xff94cd4c, 0xc13c9de4, 0x872437ce, 0x23c60b1e, 0xee0a0634, 0xd01271d8, 0xe9ff9afe,
+    0x7b5f5e8e, 0x523b0d98, 0xace5af11, 0x31c047f1, 0xf53eb277, 0x9c35c0bb, 0x3258e4ce, 0x30210400,
+    0x685de6b1, 0x10b6563f, 0xcf63469d, 0x2049d619, 0x6e392d47, 0xae342571, 0x651b73a5, 0x6f1b1b70,
+    0x49878d6c, 0xe3a52e57, 0x02e4758b, 0xa63f2e33, 0x352a49c2, 0x91f3b819, 0x6a5eacc1, 0x768c2040,
+    0xf2a91249, 0xe93c61c1, 0xabb41020, 0xa1c93829, 0xd0a81082, 0xde73a665, 0x2490ab74, 0x4236ca9c,
+    0x2f17f2a4, 0xe2294fda, 0x97e574a5, 0x34a3ed96, 0x6026398c, 0x52033c70, 0xc0db40e6, 0x34adad85,
+    0x82a9ea5a, 0x401a3ca9, 0x44a6a9d0, 0x9757511b, 0x594a878e, 0x839dcd04, 0x23646011, 0x64043675,
+    0x51ce8a8f, 0xc1ef8f17, 0x5bf1988e, 0x746097f1, 0x033a8570, 0x681335b2, 0xafa2f279, 0x7f77fce9,
+    0x202262ee, 0xb2087445, 0x59e27d5e, 0xd03039eb, 0x8b4aad87, 0xfe20082e, 0xbcc0f506, 0x9278e7ce,
+    0x7c32c194, 0x31f46fd1, 0x92d0386e, 0xb2824c5d, 0xc4b9a366, 0xd9c5eb24, 0x033817d5, 0xe81b9495,
+    0xe86aafa6, 0x74bedf65, 0x81759439, 0x62083df5, 0x9d11e51c, 0x375f66f7, 0xc20253a1, 0xb6866bde,
+    0x565151db, 0xd3480902, 0x88896679, 0x3d187d28, 0x35bdfb95, 0xe835da23, 0xa2279316, 0x2b318ffa,
+    0xeeb3f1d9, 0x7790e14c, 0x52a9fcab, 0x20df158f, 0x9b07c693, 0x2434ab03, 0x160a7a8e, 0xa55bdadd,
+    0xeb608a04, 0xbe3edc3d, 0xee6a05cc, 0x48fd1307, 0x0ff1eebc, 0xff68ae12, 0x25c1e632, 0x19dd7313,
+    0x8dea2c68, 0x11f800db, 0xa8629678, 0x23c1f0f7, 0x352b53cb, 0xd8203b79, 0x6331837c, 0xdc7d8d59,
+    0xf3a77d2b, 0x2228632e, 0x41ccb446, 0x6c53de56, 0x7d422cf5, 0xb4d0cb55, 0xadaa9681, 0x2ddd2f1a,
+    0x73690069, 0x3b5d8ac7, 0xc1336fbb, 0xba3067c4, 0x326438b0, 0x2c02b5be, 0xf3ff0538, 0xd4b36823,
+    0xb2d9cafd, 0x24a41192, 0x841794b8, 0xc0e3c592, 0xa2b04866, 0x4d14e06b, 0x7dc52e72, 0x659015a9,
+    0x8da2910a, 0xa5b89525, 0x8bb3657c, 0xa83720e3, 0xf7403a6f, 0x66285274, 0xe85c2b37, 0xd9b6825f,
+    0x753aab04, 0xa0f37b8d, 0xf0ab25d6, 0x54ab1357, 0x198b681f, 0x0745bc59, 0x8035ddc3, 0xe7db96fe,
+    0x828b0ee9, 0x9a83f39f, 0xcfd4819e, 0x79f1d53c, 0x2f576b40, 0x70387475, 0x64f1aefb, 0x66435928,
+    0xb1286ff9, 0xef33885b, 0x41f3736c, 0xe552ba4f, 0x276f154a, 0xfa18b4d6, 0x9c9ea45e, 0x952f80cc,
+    0xa387d454, 0x1bd082f1, 0x7bb1fc0b, 0xe7d559ec, 0x84baacec, 0x49074e35, 0xac7458b7, 0x454e0297,
+    0xf97a0698, 0x00a530af, 0x82e1d0c1, 0x66359e43, 0xd6ac896e, 0x78bdcdb0, 0xdd99dedd, 0xda7a2731,
+    0x8bd17069, 0x5d91ae67, 0xe68f62c9, 0xddc919d1, 0x5e375a2e, 0xf9451a6d, 0x15dda977, 0x6dd5f7c6,
+    0xa920198e, 0x765c0b3a, 0xfc141e91, 0xb16b3f43, 0x7fca96f0, 0x370e82e4, 0xb91b6419, 0x1463d22b,
+    0x548c66e1, 0x26917350, 0x85aab0e4, 0x2f452b8a, 0x441b1a05, 0xff10cf1b, 0x67ac5e5e, 0x1a074f8a,
+    0x6df5dc0e, 0xbb58203b, 0x01130289, 0xa1b8a6af, 0x53f66f9d, 0x78cc316f, 0xa06e365f, 0x19b067f7,
+    0x5fe23233, 0x640ec98a, 0x8c911d28, 0x5ecd15cc, 0x1c6bbc95, 0xd93e17e5, 0x20c97747, 0xafcf290a,
+    0xa0d44b79, 0x95d3de30, 0xa6f43b71, 0xf5f89772, 0x98b2ac3e, 0xbbd29ee9, 0x1ecb0e42, 0x7be6bb3b,
+    0xb64f97ab, 0xe36778b3, 0x71192993, 0xf1825261, 0x73010aad, 0xbf41b7c8, 0x6cf2d1ff, 0xa35c430d,
+    0x6e95c274, 0xebef22ad, 0xc7c36d91, 0xcbd37a29, 0x3eef57f7, 0x9d10787a, 0x2feb0167, 0xbb86a0f1,
+    0x9305712a, 0x479b9f39, 0x9e9e5eed, 0x40bee7f5, 0xafa4d865, 0x86722337, 0x6889b2a5, 0x9ed7ebf8,
+    0xca36609a, 0x9735a087, 0xd26e5303, 0x2474b98f, 0x1d33aeb9, 0x3d68dcbd, 0x2b5aaf15, 0xd0352276,
+    0x7191740f, 0xda3493dd, 0x075ba864, 0x581cd936, 0x5832c86e, 0x42ecedc5, 0x41dc7bf6, 0x524a7a39,
+    0x1eb36897, 0x99c5ab17, 0x56561444, 0x80d4eb5c, 0x11356b02, 0xf7dd14cf, 0x968ca09b, 0xcc172fb1,
+    0x2da56460, 0xd5ac9853, 0xbee9d851, 0xb192cedf, 0xc54a1a1a, 0x3476f19a, 0xceac424b, 0x11ec5fc2,
+    0x5350169b, 0xc0be7bca, 0xb2499732, 0x184319aa, 0x8314c17a, 0xdcc4b78c, 0xff4dcb67, 0xb69628ea,
+    0xe0dedfc7, 0x8395eef9, 0x2bbaaded, 0xb9e892c0, 0xfd748f9f, 0x758825a5, 0xcf3ddea2, 0xc7496899,
+    0xb3f30153, 0x5e277200, 0x9e032536, 0x81864a39, 0xb9583e2a, 0x20de660c, 0x6f9673ad, 0xa1f74b00,
+    0x194549b7, 0xc5a18878, 0x5cd81ca2, 0xa072a7ad, 0x207414cf, 0xb1368d95, 0xf84a29fe, 0x1540b089,
+    0x737c671e, 0x0a88231c, 0xbeb47b07, 0xab16d25b, 0xe1cfb96b, 0xcfcf56da, 0x4b45e579, 0x6d32e687,
+    0xdfe082c4, 0x2d927b68, 0x7fe47b23, 0x469f12c3, 0xc295ca16, 0x3eec23df, 0xdc465711, 0xe729f9c5,
+    0xf906d851, 0x03b6f9e0, 0xb403e5e9, 0x69705386, 0x118921fe, 0xc8470560, 0x44067ee2, 0xe2e8752f,
+    0x0f3b1c88, 0xc4fe034a, 0x9e508607, 0x43d0ca70, 0x5ac647bf, 0x2bc244a6, 0xeb14fd19, 0x79f88137,
+    0x3d06e1c0, 0xa5c9bf02, 0x44bd4a65, 0x91f988cf, 0x50afb60b, 0x59af17f2, 0xd57d5958, 0x55b49990,
+    0x5e5280ac, 0x171d183e, 0x4e74eca5, 0x796ea05c, 0x843f9856, 0x91dd687d, 0x161aecde, 0x0b48d949,
+    0x961f3622, 0x3e4258e2, 0xa566dd15, 0xc746ccd4, 0x42ff57fc, 0x2f01e1e9, 0x2b1e1ae7, 0x6adfd93a,
+    0x74c36a3a, 0x2355317e, 0x6048ebfe, 0x6de017b5, 0xa75d7d4c, 0x582ed917, 0x40292be4, 0x9940355d,
+    0x28be3879, 0xc7cf4c90, 0xdb0c97e6, 0xfa17d271, 0x372f64ac, 0x7acac448, 0x36ff315b, 0xa655d0f8,
+    0x5a8c071c, 0x8455d071, 0xf25c2a47, 0x8964d406, 0x21b4abdf, 0x32d157e5, 0x8bbd8397, 0x50bf41dd,
+    0x2c56c433, 0xeb58647e, 0x70088224, 0x52e955c7, 0xbed75447, 0x5a3f65b9, 0x5136201c, 0x822715b4,
+    0x5ff5d097, 0xf8e69776, 0x0e6295d9, 0x75508586, 0xe01ae49b, 0x01d0bed1, 0x1fb97932, 0xa70bbb5b,
+    0xca0dddd5, 0xe7b6f818, 0x5e35f168, 0xa6f84cd2, 0x7a4c4e57, 0x881508c0, 0x2ac2e490, 0xc2ee11c0,
+    0x2940bae2, 0x44a74ccb, 0x27665e99, 0x9611470b, 0x3fe77051, 0x5ce73e92, 0xf2e06cb8, 0xfa47ab57,
+    0x00000000,
+    0x67419942, 0x2020b9e1, 0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2,
+    0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000001214168\
+                         05764108066932466369176469931665150427440758720078238275608681517825325531136 */
+  { 0x00000000,
+    0x3afece34, 0x10dbeedb, 0x627160a3, 0xda57eb1c, 0xc3f9625d, 0x3b10b599, 0xf17bbe43, 0xebd94242,
+    0xeb3dc663, 0xea6a8757, 0xb1ea0877, 0xd83bf0a4, 0x3919a244, 0x79c3e35a, 0x1d29e47c, 0x8bf0abc6,
+    0x9f5cf325, 0xcac912c3, 0x18acaf10, 0x6b507faf, 0xc687ab3e, 0x23e0827b, 0xbafcf633, 0x563b933c,
+    0x3b99ec3a, 0x9640caea, 0xefdc1000, 0x5b2a699b, 0x118b6064, 0x4f2d4ac7, 0x97e30761, 0xea3cb519,
+    0xa353dd5a, 0xd4ef71dd, 0x95cec084, 0xfafd2e6d, 0xf23610ef, 0x1e198d67, 0x2c137e4d, 0xbefd8d02,
+    0x22a39836, 0xbad21b9d, 0xf5ecae35, 0x07fc071c, 0xfaf01a03, 0xa05d918d, 0xbdcc50da, 0x5381b4f1,
+    0x6a6dcf13, 0xd060defd, 0xbeb76842, 0xaef1c85e, 0x7d22c8cb, 0x8cf933ee, 0xc225fb4e, 0x1020a73b,
+    0xcd252dec, 0x52b5516b, 0x070db71f, 0xfb768432, 0xc866f4c8, 0x2b72981e, 0x301d033a, 0xa93d5412,
+    0xce176a79, 0xa26bf629, 0x673f2da8, 0xbab13b96, 0x592bd1d8, 0xe1f63f7c, 0x4d5a1114, 0x967323e5,
+    0x5d9acb01, 0x3806e75c, 0x49ad441f, 0x00977520, 0x95fdc31d, 0x4916e2f0, 0x8e3f59f1, 0x8ff70191,
+    0x6f88988a, 0x4b855363, 0xc1f9b989, 0xfc7fe6ca, 0xcea0eb93, 0x0463db85, 0x3a755f5a, 0xf6d58e2f,
+    0x9b5a3ada, 0x525e26c6, 0xeb406c11, 0x262a50d4, 0x726766b6, 0xa9b613af, 0xe2b33402, 0x0a39e068,
+    0x097c3e25, 0xc463434c, 0x5eb16377, 0x5f0339ff, 0x9823b500, 0xc9c4fa26, 0xb5d15b49, 0x22062ee3,
+    0x2614054f, 0x0cfaa985, 0xea5919e8, 0x593c38fe, 0x0a977f30, 0x78c1178d, 0xc066d193, 0xfaa17a98,
+    0x27d5aa52, 0x12a131f7, 0x3922aecf, 0xe3e929a0, 0xa952ebe8, 0x7712bc7b, 0x7bb15d3e, 0x275418d4,
+    0x26d1c7c6, 0xd38656fe, 0x353ad535, 0x236078d4, 0x0f4e0c08, 0x9c038023, 0x8a37c78d, 0x6d0fc46f,
+    0xdd1b8289, 0xbbc75b33, 0x6021621d, 0xfe9c3ea0, 0x8e0b508f, 0xbe9fd995, 0xc392d64a, 0x1648c328,
+    0x70e50d50, 0x1d320979, 0xa84f1319, 0xa5f68723, 0xbe2aa4f3, 0x48a50aa3, 0x0691a869, 0xb9b5cfd2,
+    0xcf5c78c2, 0xc32dea01, 0x322117d4, 0xc7d9c131, 0x3f4f8682, 0x0572fcd6, 0xa1dcce63, 0xa4f504a1,
+    0x3c46881e, 0xc36843e9, 0xaec9fcca, 0x16766157, 0xea7de9f6, 0xbfb1c9d4, 0x627730a2, 0x696c4784,
+    0x1c144f15, 0x61b53a4a, 0x57b6a043, 0x41bcbfa2, 0x6ddb9b3e, 0xcbcd3f0f, 0x80d4e71a, 0x466c691c,
+    0x29367426, 0xb4c43d39, 0x8a44e275, 0xda290857, 0x76f9113b, 0x26b8bde3, 0xead3bffe, 0x52bf21ac,
+    0x3f032ba5, 0xc54d757d, 0x6cc010d0, 0x8ba8c555, 0x2a85d1bd, 0x2486e95c, 0x6adf6217, 0x1a4354bb,
+    0xfc323bd3, 0xd6260f4d, 0xa19b2a36, 0x2cb0cdba, 0x459f08f1, 0xdd70a96c, 0x3a297a6c, 0x7ad75f62,
+    0x30645909, 0x223a51c0, 0x8904390a, 0xbcfe86ff, 0x10529ed9, 0x68ccbb3a, 0x5a313ae4, 0x46ec3159,
+    0x5a1d988f, 0x8ff7b0bb, 0xc68420be, 0x7cb89578, 0xaa553930, 0xa124d9c3, 0x31cfe63b, 0xfa3177fb,
+    0xe77770e2, 0x2a84dffb, 0xf6bc8f81, 0x5fcf5505, 0xb5e09a04, 0x40fc3c7c, 0x732cbbc2, 0x5f51afe9,
+    0xb7ab417f, 0x753d8e4a, 0xa030c47e, 0xa0bf2577, 0x234b5c2d, 0xb7362cf6, 0xa37ba022, 0x71b0aa0e,
+    0x8de0a7dc, 0x2bdfd0e8, 0xc1555538, 0x1aa8c17c, 0x0731888b, 0x86e67383, 0x03a37eb0, 0x2f09cd54,
+    0xc8ab89a4, 0x2e0f6e1c, 0xe155460e, 0x52e039bb, 0xf134d32e, 0xc96bbb85, 0xe2ec5b10, 0xb6ea4dac,
+    0x5e5968bc, 0xc8c383f6, 0x4f66abb8, 0x72827421, 0x851334ee, 0xa878fb42, 0x17f09b2d, 0xd53659d1,
+    0x2671dab0, 0xc88cf7dd, 0x8a49f03c, 0x9070e53d, 0x3ef68218, 0xc533c010, 0x3a184c0e, 0x6f078550,
+    0x02ba48d1, 0xb37c94f7, 0xeadc1aa5, 0xbb2106f7, 0xf025f5d0, 0x9065e2e2, 0xa1b38bfc, 0xa002c253,
+    0x05f55f57, 0x30e9b27a, 0x78798dae, 0x69f6b8d4, 0xfaa194b7, 0x58b70a08, 0xc1bda490, 0x7f74b086,
+    0x3f37340b, 0x74d17408, 0x8110825d, 0x5dc1b83d, 0xdec27e81, 0xc221ca72, 0xe9249899, 0xcc6486d3,
+    0x6cd66725, 0xd6ffe229, 0x5624d0a0, 0x52d47640, 0xa16adf96, 0x7b8289a9, 0x007970f1, 0x714b5899,
+    0x74af3724, 0x5e59a5dd, 0xefd103ff, 0x3cb0c99a, 0xa9a3414d, 0x17d23b8f, 0xe146addf, 0x11ac17e0,
+    0xb59b76bf, 0x948d3e16, 0xad013110, 0x5e67df84, 0x2898e391, 0x1318f53a, 0x621b2abc, 0xa778e95c,
+    0x9a2a07ed, 0xf7af03d6, 0x35af4729, 0xc7768d57, 0x3d9db96f, 0xbab51e98, 0xaddff13c, 0xc1c48a59,
+    0x4c18e9d5, 0xae301704, 0x9a472db7, 0x2044637d, 0xc08ee600, 0xc65ff0fc, 0xfb9ef24f, 0xb67bb056,
+    0xae991e1a, 0x1d012876, 0x9595bcf8, 0x1fa1d35c, 0x34421c7e, 0xee5975ef, 0x12d3644c, 0xb441e2e5,
+    0xec2e1546, 0x767fa880, 0x231d4a4a, 0x1c736d22, 0xff7fbc6d, 0x69c710c5, 0xd35af199, 0x5b44eb19,
+    0x5a31f759, 0x8c590311, 0xcd6b5e32, 0xec2d4d9b, 0xef959533, 0x055c3ed5, 0x5ab2b417, 0x1c0a6b3c,
+    0x3027965f, 0x1dfb5c15, 0x83f97c87, 0x9206fc12, 0xb43ae609, 0xc0b31a2f, 0x5734b733, 0xd16a9aeb,
+    0xb7b1b0a8, 0x054ec645, 0x5378c513, 0xa22193d0, 0xbe746e78, 0x27548ecb, 0x41773c5a, 0x7ad2b7e7,
+    0x6f4e32fc, 0x50eb827c, 0x0eed9764, 0xea0eef35, 0xb7a8e237, 0xb0c1bdba, 0x09e6b8cc, 0xab22fee3,
+    0x0c535a23, 0x8e6977cf, 0x8132b80f, 0x8374571d, 0xaf53aadd, 0x9e09410f, 0x3cc93cc7, 0x22181511,
+    0xddcba0cf, 0x3f8ada30, 0x12591b76, 0xbb2074c1, 0x86793e78, 0xab2e301a, 0x17e3d1e1, 0x70485167,
+    0xd54557c7, 0xcb3c9401, 0x2960de98, 0xd28a0917, 0xb29415bd, 0x2b9aff1d, 0xe12e0a5d, 0xffd65976,
+    0xcca9b146, 0xdbd3c74e, 0xbbda462f, 0x8728e593, 0xea68c20b, 0x684c5bab, 0x408051e9, 0xd9aba827,
+    0x2bb9c3cf, 0x77cf6fbf, 0x9c98f474, 0x4d09d03c, 0xb9adb808, 0x813e0601, 0x6ec90a85, 0xef5de124,
+    0x0df5188a, 0x6f2a6922, 0xa489c9ea, 0xc7a9924c, 0x8ceddc07, 0x3915ce90, 0x5ad0402c, 0xa1542cd1,
+    0x60ac62f0, 0x708be73b, 0x989a492f, 0xa63b0bee, 0x2fb97a9e, 0xd11b69fe, 0xa40af5d2, 0x092ec7c0,
+    0x2d2c53a7, 0xdbb48597, 0xb1a94b10, 0x8e48cd9c, 0xb8c0ab21, 0x0051c643, 0x53f0a01c, 0x15bdc186,
+    0xf6d8c7a3, 0x5f49e1b7, 0xa5d1da5c, 0xb1c9ff4f, 0x34caf489, 0x6c3015b0, 0x9b4b6cf6, 0x7f9d6ea1,
+    0x98256dfb, 0x996ea44d, 0xa502f307, 0x26651fae, 0xc7fd0a4a, 0x4ae30ff4, 0xbcfb9f27, 0x7c913123,
+    0x9fcda803, 0x42ccebe1, 0xf8637f5e, 0x24e1ca9b, 0x925e244a, 0xefbdf16a, 0x2b9c8a21, 0xad61d272,
+    0xb1e373fb, 0x2b1c0b9c, 0x3ced4ea3, 0xe28bc748, 0x4eed1676, 0x12649e52, 0x4c17f0f4, 0x58d3d966,
+    0x9348c286, 0x09ff7882, 0x26eb7a6a, 0xe9aaa305, 0x92752441, 0x9f9fcae2, 0x10d08b32, 0x46d438cf,
+    0x90d287b7, 0x3e00da1b, 0x34df818d, 0xd8bca657, 0x981193af, 0x1105a7ec, 0x058ec0c4, 0x33ffd47b,
+    0x21912805, 0x0907a4d2, 0xde5c3986, 0x765400ce, 0xd4ef2e8b, 0x81b9958b, 0x60a9a2c4, 0xb0440925,
+    0xa1034618, 0x1443b229, 0x48a3ac29, 0xb9dd0330, 0xf3a7983b, 0xa7b9cc0d, 0x3867beff, 0xb193bfb7,
+    0x26df6139, 0xafdba7b9, 0xa0e3a47c, 0xa7469fc5, 0x96329ff5, 0xf02d5c0e, 0x9b381dc2, 0x6501c93e,
+    0x5b3f043f, 0x0af4e88c, 0xe5e0da09, 0x18c8e8ff, 0x8ca6e629, 0x3bf89cf7, 0xf5a05bf0, 0xdf54c163,
+    0xc0b32afb, 0xbf56382a, 0xa1501cf4, 0x93ddc7ab, 0xa01f2a69, 0xa6e0e088, 0x2b91b5c7, 0x7d6399c1,
+    0x4e7257b4, 0xe1616736, 0xcc0c1a7a, 0x74e36693, 0xac161fa4, 0x2154f745, 0xb931e78d, 0x0a55d063,
+    0x62bddc2f, 0xb82ee656, 0x30c53b9e, 0x56f98142, 0x534b81d8, 0x0a173836, 0x6d8bd504, 0x38381f67,
+    0xb5494163, 0x015bbb90, 0x62fbdfb3, 0x67f421e6, 0x63784dbe, 0xc77b12ba, 0x3f43c7e9, 0x5dc9e2b9,
+    0x5379853e, 0x01dd957b, 0xfc4f1f6a, 0xa85fb77a, 0x87f79a0d, 0x0354a342, 0x28622047, 0x21130638,
+    0x20ae5129, 0xd2014dc6, 0x7269a42c, 0xa1f1e2e9, 0xf0fa0187, 0x2bd13cc9, 0x3cc6bff1, 0x7c3d19a1,
+    0x9c4458ca, 0x1d84843a, 0xe7295cba, 0xd38d1f8d, 0x2bc77c75, 0xb652007f, 0x20868229, 0xcac9efed,
+    0x27fdef3b, 0xde49a7f3, 0x4e4a7ad7, 0x911d619b, 0x4597863c, 0x0f60d822, 0x58c9f412, 0x58a2ca5a,
+    0x933830ff, 0x759d82f5, 0x26fa6762, 0xa12c63e7, 0x3a279c64, 0xb8cf10c8, 0x776909a2, 0xbb499591,
+    0x02eccc09, 0x5d222281, 0x669c987e, 0xba6241f9, 0x0efa2569, 0x56154073, 0x59d428c1, 0x8ce4ff88,
+    0xf159ef1a, 0xf2a9de0a, 0xfcd5d386, 0xf8974b9e, 0x51a99a80, 0x7d8c02c2, 0x0fbe70ae, 0x6da8a598,
+    0x2e75a44e, 0xe2df6262, 0xafadedb2, 0x9a3cd6cb, 0xdde85125, 0xda0d63df, 0xa64a1ede, 0x0d669420,
+    0x2e81a296, 0xc1cbd7dd, 0xfd312de7, 0xaa8e146d, 0xaf094f36, 0x4c0f243f, 0x75a4ad5a, 0x1c74165a,
+    0x5454f4a5, 0x63b9df7a, 0x362ff8db, 0x1bb9e71f, 0xc410b64a, 0x8be3d8f7, 0x4e51f161, 0xbe43cb9a,
+    0xfe1297e5, 0x5e7a1199, 0xa2ade4bf, 0x51ec43be, 0x951a390c, 0x77d52721, 0x8326254c, 0x95323c20,
+    0xa75cf43a, 0xc2abd2c8, 0xcf7f8d3d, 0x60ed6afe, 0xb4fb3bb9, 0x370b84a2, 0x9854f0d2, 0x5bf6dea7,
+    0x36272c4f, 0x5ff23f83, 0xd141390b, 0x0b2a53e8, 0xcc67809c, 0xb1ab29ed, 0xf0372697, 0xe2b08b62,
+    0xfa1f1094, 0x7bee692b, 0x7a4633f2, 0x023d5922, 0x30b68982, 0x8f45506c, 0xea2dc60f, 0x661dad80,
+    0xb902abf4, 0x4517f6ea, 0x960c1819, 0x410e8de1, 0x5c1772eb, 0xc33fa709, 0xf3483a56, 0x3a82284a,
+    0xc838c9c6, 0xfbc5264f, 0x0ed61f04, 0x0b5729ec, 0x78fa0360, 0x3a6cbb3e, 0x91e91039, 0x4ed8f258,
+    0x1b31c62d, 0x87f545b4, 0xe7ba5d72, 0xcf75d15b, 0x8f873dcf, 0x91ee6352, 0x351558ce, 0x012807d4,
+    0xbd83bfb4, 0x6c78bb0b, 0x39dfb310, 0xb9dfd3bf, 0x47ad2621, 0xca96c763, 0xedf12458, 0x211fea82,
+    0x49d67070, 0xd1890af5, 0x29aa336d, 0xfe3718d8, 0xbef6ceef, 0x9bcb2c5d, 0xad6d639a, 0x14b1f2e1,
+    0xffe323e4, 0xc8b0f82f, 0x5ffe5923, 0xc33758d9, 0xab6850e0, 0xbfc87b20, 0xaf8c4a9f, 0x6877404f,
+    0xcd82d99c, 0x9d4e7840, 0xaa952e95, 0x1b135ed6, 0x257a1de1, 0xa6e05d20, 0xac159cdd, 0x970e4ec7,
+    0xd4019101, 0xf7efdfee, 0x2a0c6e82, 0x2e95a019, 0x2ed85ab3, 0xd823a0dd, 0xb8a3e3fb, 0x8793092d,
+    0x8fab2d80, 0xbccdb72d, 0x4f936a6d, 0xe4c48532, 0x8adba0d6, 0x9bb74d72, 0x67ffc7df, 0x178563d0,
+    0xfe32f48c, 0xd9860a99, 0xcff81bc2, 0x5ece897e, 0x5f88f660, 0xd797ee82, 0x8821dc8c, 0xcbec0038,
+    0x918f49df, 0xb413d560, 0xb672da87, 0xf92e18fc, 0x31963811, 0x103df4b6, 0xf2010f5b, 0x478db5a8,
+    0x32abc8c9, 0x36ead23f, 0x0fc0e05f, 0x7c7dd23f, 0x15c3b1c4, 0x8fce437e, 0xb2a52808, 0xe34eab40,
+    0x69c633dd, 0xcd064ef0, 0xd4946a07, 0xa93cc94d, 0x815abf6b, 0xcedd028d, 0x89b29c50, 0x4d3e638d,
+    0x415b5fa2, 0x12d74495, 0xe6a0f7e4, 0x43fddb59, 0xe787c487, 0x1d4bb30f, 0x97d238eb, 0x9c273071,
+    0xa680d227, 0x2e22ef6b, 0xa099f263, 0x3126f0a7, 0x643e9117, 0xe0d3cb1a, 0x7d000fb8, 0x38786db4,
+    0x59c925b9, 0x254bd07c, 0x44bc71e9, 0x5cd3e144, 0x016a607c, 0x5c000b8b, 0x53fb8f79, 0x7b043c5d,
+    0x48534008, 0xd94221e1, 0x1236dec8, 0x7bd5e6c5, 0x8f037f36, 0xa3969f00, 0x5ae84fce, 0xc309a7a4,
+    0xa663ddcd, 0xa05beeff, 0xefaf55b3, 0x9ac42b9b, 0xbc3271fc, 0xe7e3a2b8, 0x8cb6f0a7, 0x1a9a9883,
+    0x1e62e0be, 0xd7a9086a, 0x998b94ed, 0x7abaa85f, 0xb2ff02b4, 0xf1bf1c18, 0xd3d41432, 0x1f6dee55,
+    0x4d14d9a7, 0x26dcbd7d, 0x593d64ec, 0xe70af3c7, 0xbe9314a6, 0xfbb5c5da, 0xe26024de, 0xef6d465b,
+    0xf04ed54c, 0xce0d4a5e, 0xd3aa1b5e, 0x9df46638, 0x0e838c8b, 0xd33dbb1c, 0x5998cd81, 0xa9e32cdc,
+    0xb8c5c13b, 0xacfcfdb1, 0x0701ee5c, 0xf00bbd05, 0x45112a99, 0x41c7b6ea, 0xcb486b59, 0x3b3aa9de,
+    0x77affeb2, 0xf3d424e0, 0x6224c0b4, 0x0e7d8a0f, 0xaac83f4c, 0x252cbbe7, 0x2d2d69f2, 0x854f012f,
+    0x47e4c40d, 0xbe579eb8, 0x289d62e9, 0x2d57f632, 0xfbe2deb3, 0x5d237133, 0xa1bf13eb, 0xb69f42a3,
+    0xf6e17fc7, 0x040b74ef, 0xdd394ceb, 0xe981f0b2, 0xae593ba8, 0x414ab407, 0xa0e6b441, 0x3e9a5b66,
+    0xc6162d59, 0x58cc20fa, 0xdc8a8759, 0x706fc1d1, 0xa6021848, 0xd3222feb, 0x070fa515, 0xf068b235,
+    0x61538543, 0x0cad4d80, 0x75842201, 0x5977a083, 0x6c651c37, 0x35e757d7, 0x1696b646, 0xc876a52e,
+    0x1c9a0531, 0x16e6650c, 0x37128775, 0x18ab3af7, 0xf1e2646c, 0xaa0f1885, 0xf50ea158, 0x5332fefb,
+    0xca1591c5, 0xf868377b, 0xf8328d81, 0x20709f6f, 0xdd9ca753, 0xd532e322, 0xb9e4b37b, 0x57a2d530,
+    0xf1785da8, 0xf211cfb0, 0xfedb197c, 0x5bf8f23e, 0x99b9b249, 0x4f1c60e5, 0x6bced258, 0x6e0dfcb9,
+    0x4ffef10b, 0xadcd475d, 0x2ad6380f, 0xded5eada, 0xc62d6c18, 0xe8a9f5f9, 0xc73cecd8, 0x2d7a0b06,
+    0x690323d0, 0x64b83872, 0x4d95528e, 0x096f21f5, 0x92bb6397, 0x69b25317, 0x7eeee441, 0xc44592d4,
+    0x0953f399, 0xe5645ea3, 0xe7515bc8, 0x6c04e379, 0xffdeed80, 0x3d14a43f, 0x99eca548, 0x49861911,
+    0x8f7f6e89, 0xae9ecd07, 0x3a0aa2c6, 0x2ee74822, 0xbe95de30, 0x9ab106ee, 0x304645f7, 0x428326ea,
+    0xdf44ba10, 0x8d542496, 0x7949ddb4, 0xf99d7b49, 0x9c9b85db, 0x51b2a94b, 0x2a55cf97, 0x864f4cde,
+    0xbefe6e4f, 0xd9786530, 0x0101d17a, 0x906c2b84, 0x1057f870, 0x5cd7b2c3, 0xf5929ab8, 0x2162a220,
+    0x59a7cfb5, 0x09884a8c, 0x845ccd50, 0x53665ab7, 0x761b0ed7, 0x94f7d07d, 0xf4e9a1bb, 0x4608786e,
+    0xe839587e, 0x7ed0d617, 0xbfbcd8f3, 0x6a353252, 0x1560d5ce, 0x70890bfc, 0x7010e11e, 0x3edde914,
+    0x3d3938f1, 0x56a72782, 0x69d5777d, 0xb1ed0b56, 0xff21ac66, 0x30cc9200, 0x876ef16b, 0x3af88c16,
+    0xa5e3fb72, 0x5cec33b2, 0x612f4232, 0x50f796ec, 0xcefb8a6b, 0x4c5b6d52, 0xb4c9dbcc, 0xb5c5d123,
+    0x2b3d32a2, 0xdc34f4fc, 0x9fdb3f60, 0xfea08272, 0x0f1bc85d, 0xb47a8bc4, 0x1276181e, 0x0a77aac6,
+    0xdd046d24, 0xf1c42bf5, 0x5d0022a3, 0x080027e2, 0xb0d09819, 0x1f00657b, 0x5653b41c, 0x00704b2f,
+    0x0a57ebdd, 0xb8fe7171, 0xb42f4d00, 0xc044c8fe, 0x0174afe5, 0x441aed4f, 0xc0584cca, 0x626b3e18,
+    0x0bb26741, 0x28032fd1, 0xf07a1cb4, 0x2e5f2afa, 0x40a4a80a, 0x6100c719, 0xfe06faf3, 0xfd1fb2cd,
+    0x00000000,
+    0xb3a0cca0, 0x90105cf0, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371,
+    0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000607084\
+                         02882054033466233184588234965832575213720379360039119137804340758912662765568 */
+  { 0x00000000,
+    0x6ec9ba19, 0x572d5d5f, 0x8307f330, 0xddc9d8c5, 0xab6c0972, 0xa17cfe1a, 0xfd892706, 0x43f58c76,
+    0x49d2dc4c, 0x848e2eaa, 0x8480fb9f, 0x91b5557b, 0xf46adda1, 0x0aceb1ab, 0xc59d11c7, 0x81e188e8,
+    0x2e4a9a12, 0x400862f9, 0x7413f6fb, 0x2d8f00b6, 0x43daeca8, 0xc4c011b9, 0x66c0df3f, 0x0a3b2485,
+    0x92c5df4c, 0x0933709a, 0x13ccf6fd, 0xbe31f5d9, 0x217a2cbd, 0x31e1dfd7, 0x12fd7346, 0xfbc8bb10,
+    0xb663110a, 0x18367d10, 0xfaa64065, 0x838d69ed, 0x3043c85f, 0x2b28130a, 0x7d8c1fe7, 0x9ee246b9,
+    0x01336974, 0xec63bb84, 0x6ccbbcd0, 0xc64c7c72, 0x95551a02, 0x617259ba, 0x45dc462e, 0x71b871fd,
+    0x60e9c531, 0xd97f6a18, 0xa37918c0, 0xf298dbf2, 0xe4ffa84e, 0x170ff6b1, 0x23071713, 0xfcf82bfe,
+    0xe7eb6ed1, 0x71a606e8, 0x30519e07, 0xa8e193af, 0x2e8b9239, 0x6ff80240, 0x068ade89, 0x35c4ff06,
+    0x9ed2506c, 0x11fd310b, 0x5137945c, 0x86325bfb, 0xefcdf6ed, 0x3588efad, 0x0ea970d2, 0x34e4f6f8,
+    0xded0d6bf, 0xf1189233, 0x850665f7, 0xc6e006be, 0xf94e2f94, 0x2cf24555, 0x8abe4c8f, 0x9d7d7ac9,
+    0x0cae867c, 0xcf4b90cd, 0xa5f8dc3d, 0x7002fa8d, 0x084d9395, 0xa05ebe0a, 0x8ea3d23d, 0x2b36e1e5,
+    0x133f4c81, 0x0ad2de5b, 0xa0c1bfb1, 0xc2c05f6b, 0x9401bd32, 0x504f64c4, 0xc8dbade1, 0xfcf2410c,
+    0xef469afb, 0xc71ca0ca, 0xd1f2dbb0, 0x1fa028f3, 0x9678a1a6, 0x356f73ea, 0x7de7bc09, 0x3c4bece8,
+    0x80af718f, 0x1bbbdad1, 0x0f36622e, 0xcfd511fa, 0xc3c273ce, 0x948ca4e1, 0x226fd763, 0xa43f082d,
+    0x92af8341, 0x59aa7ffc, 0x68337137, 0x3002ee48, 0x1e62f859, 0x0e52ff29, 0xf04ae707, 0x4c4f62f1,
+    0xfd6eb9d6, 0x289d551f, 0xce846fb7, 0x76772478, 0x6a66e9bf, 0xec3c2b70, 0x6bcedf87, 0x5e4a5c01,
+    0x32810a1d, 0x8f618f2d, 0xc982f0dc, 0xa6b5d438, 0xc1f4b18d, 0x11af4f64, 0x356fb96d, 0xf7c43ae8,
+    0x83787633, 0xda89aabc, 0xf0d92ec9, 0xb5b94ade, 0x406a0e5d, 0xcedef24d, 0xf7cc048c, 0x56d2c460,
+    0xab27b711, 0x3136c0c3, 0xb417b9c2, 0x3a05ab1a, 0xf00e5f71, 0x7d542bd5, 0xdc839e65, 0x6d37b739,
+    0x0be919a8, 0x283a953e, 0x6599adb6, 0x0c19821b, 0x22f6cd4c, 0x132bbf2d, 0x2247136d, 0xc3aba5fa,
+    0x1e733928, 0xfde3da24, 0x26bd4bb5, 0x42c565b2, 0x891c23b8, 0xe6d1139b, 0x73799beb, 0x82b0850b,
+    0xace428c9, 0xe4384457, 0xe4e60cd7, 0x9b1fa174, 0xf519e0fe, 0x56ccac98, 0xe4cd5cec, 0x77a1ecc0,
+    0xd7892aee, 0x0d833e4e, 0x430e43b0, 0x05597f09, 0xecc3e651, 0xbd44f2b4, 0x41d00037, 0xed3a8d1c,
+    0x18ab41c2, 0xfd48e6d9, 0x78994f85, 0x3b114b80, 0xd5a822d4, 0x640294ca, 0x8060ff2b, 0xd392d79f,
+    0x8077fddd, 0xe6abd0aa, 0xe32e3133, 0x9b1f7924, 0x00139ffb, 0xba302ac0, 0x516494a0, 0x89565d1d,
+    0x2442956f, 0x49560dde, 0xc93c602b, 0x25d06e92, 0x275d47b1, 0xd444b570, 0x0a7260f7, 0x60f9cb15,
+    0xf6b701f0, 0x888813c5, 0x546ff283, 0x2ae8a4a9, 0x4f1d4f9d, 0x47781c1d, 0x337ca81d, 0xe39d2fe9,
+    0x78636a4f, 0xd33ebb74, 0x1313c5ce, 0xfc400eaf, 0xf460d2bc, 0xdc92fbdd, 0xad21bcb2, 0xd4ec92e3,
+    0x13756c37, 0x857d064b, 0x616ea558, 0x03281f2b, 0x742dc408, 0xde7b800c, 0x61d2b3cf, 0xe507c2b0,
+    0xac015c36, 0x4c61acff, 0x23bad730, 0x3dc0a967, 0xb0a84ff6, 0x5a55995d, 0x53e0cd66, 0x4c789e8f,
+    0xd589787b, 0xa8ca429a, 0xee04b47f, 0x3c126328, 0x58b781e1, 0xf336eff3, 0x7c586b4c, 0xa32fc307,
+    0x0394e89d, 0xbfba6e68, 0x645adec1, 0xb11a6b99, 0x4e66fd07, 0x32875ca1, 0x3ffee1ac, 0x24671530,
+    0xf742bf81, 0x260baffc, 0x30e09d3a, 0xe91be9ab, 0x1aae8a6c, 0xcd503756, 0x60bbd692, 0x7ae3c8df,
+    0xd86e08d5, 0x64f4b9de, 0x9b1e9c8f, 0xc86e1cbf, 0x1400fc07, 0x5d30f244, 0xdf113529, 0xb8e85c1e,
+    0x14cfcee3, 0x0770d668, 0xdf592e3b, 0x55512002, 0x20af9446, 0xf4f3e9fc, 0x3e1004ce, 0xd213cf45,
+    0xfb68287e, 0xc3ca1db4, 0xb0a670bd, 0x3c5948ab, 0x160f4c80, 0xa466d45f, 0xad61198e, 0x580c981b,
+    0x7951dab6, 0x96fd6cf4, 0xd14a2efb, 0x1c14a183, 0xfe5412d2, 0xf97b1089, 0x45e31082, 0x0d353359,
+    0xd97fd857, 0xdd54cd94, 0x3f85dce1, 0xda204718, 0x722d6206, 0x60954d38, 0x462672fa, 0x3b2ac4d8,
+    0xf2491f9c, 0x7691ea2c, 0x35ed4c48, 0x8f815099, 0xec8e7134, 0x210e8ea4, 0x2b7d7885, 0x46087cc3,
+    0x56799ffa, 0x0d96946a, 0x0d1715cb, 0x03f50e6e, 0x9598411c, 0x10a21c5e, 0x86c0bc51, 0x23f76c11,
+    0xaaadca90, 0x8abd9ae8, 0xb6aa44bb, 0x1b9cd67e, 0x1fce3295, 0xb791722d, 0x46c6a762, 0x8422d12f,
+    0x588e0d87, 0x9928c34b, 0xaa16112c, 0x20f06fad, 0x036457ce, 0xce478251, 0xf7623b35, 0x65084efc,
+    0x7ffa03e5, 0x7a08ad27, 0x45234285, 0xdcdebfa5, 0xb97ca799, 0xd7945c15, 0x6a904885, 0x611319ca,
+    0x980d0192, 0x82035246, 0xeb1bedf4, 0x33861772, 0x9d8fbb3b, 0xb0675bc4, 0x53b0a328, 0xc56cee21,
+    0xd320dbcc, 0x006fe956, 0x1957f33f, 0x114b7d13, 0x6391b3a7, 0xc7fb37d8, 0x9af2c0bd, 0xb6ee14af,
+    0x624efa0a, 0x6fe204f7, 0x65fa54de, 0xdb49a92b, 0x1a1e9787, 0x9d3334ee, 0x70a0a432, 0xf852c8f7,
+    0x962715e8, 0x60883068, 0xd189ab07, 0xf975a6c6, 0xad037def, 0x9fc572c4, 0x81dd525e, 0x1fc47a75,
+    0x1e624f95, 0xd39648c8, 0xb0a7bf2a, 0x753617a4, 0xb8f59eb9, 0x415d8d4c, 0xe23cc0c6, 0xde3fff66,
+    0xbbc59629, 0x3129ff9f, 0xcd714b1e, 0x77cfe00e, 0xb047cda7, 0x5db9f3e1, 0xc76c1726, 0x48477ce7,
+    0x6468533a, 0x9e67b8c2, 0x15bcd768, 0xbe67174a, 0x38fc09b1, 0xdeb13fa1, 0x862ba174, 0x693b40db,
+    0x94a9784f, 0xfb484946, 0x6c0eb7da, 0xc5b4e60f, 0x557e8a1d, 0xd9788a61, 0x84024ce7, 0xa9d82876,
+    0xf1cd2059, 0xa02bd34f, 0x0b9abc70, 0x28b3f300, 0xed19c40d, 0x8912b942, 0xac64441e, 0x298915dc,
+    0xad183693, 0xa861aa95, 0x55547cf2, 0xbd4c51e6, 0x11cb174f, 0xb161eea6, 0x66454363, 0x2e7454f3,
+    0xfcb31bc5, 0xed5ab83a, 0x40e384a0, 0x258dd23d, 0xd5f8e7ff, 0xa908e32a, 0x0d2b9326, 0x25b0effe,
+    0x45de552f, 0x44eb5ced, 0xc1cc8e19, 0x28b86569, 0xfb416da0, 0xde79365f, 0xf1a2647e, 0xc3119d0e,
+    0xeec42151, 0x4b1e3598, 0xe4b76e47, 0xed9a9b68, 0x31b2539f, 0x044b6aeb, 0x85c929d9, 0x37543d20,
+    0x69d5fbb5, 0xcd0ed15c, 0x39216f00, 0x4ec961ae, 0x5ed0b46b, 0x98f7134a, 0x6d6ad045, 0x46f2e23d,
+    0x11a74c40, 0x09da3e29, 0xea7b6b0e, 0xd002fa53, 0x496b715f, 0xd531c1f0, 0xb8a9bd06, 0xf1a0b4e3,
+    0xc56c7a0a, 0x7edf0ffe, 0x957c70a2, 0x6012179e, 0x0f734ff9, 0xce5e70f1, 0x8529d02f, 0x20a11270,
+    0xb1f6180f, 0xff505e3f, 0x91fa00c0, 0xc3c027a8, 0x24e4e0f4, 0x702243e7, 0xd0795fe0, 0xe9447147,
+    0x7414dc21, 0xd38a53ed, 0x2c6a38bc, 0xa34928d2, 0xc10cd918, 0x4e4d5a42, 0x7a851001, 0xf414eac8,
+    0x4d9939c7, 0x14163d4e, 0xcf6dd112, 0xf97db5b3, 0xcb9ef688, 0xed710332, 0xaaef1704, 0x0a01434f,
+    0x6115d066, 0x548dc821, 0xbf00af09, 0xeb7b7989, 0x6da03cb4, 0xef72ded7, 0x8a61236b, 0x694eeeb0,
+    0xb8ca81bd, 0x3d93165c, 0xf54eb525, 0xf500e435, 0x6cdd3d6e, 0x5b6cabd9, 0x2cf28de2, 0x802b651a,
+    0x1b3a0ce8, 0xe6e608a0, 0x7d827d75, 0xa736448f, 0x30b49756, 0x57ac8422, 0x98a5700b, 0xf55f9e21,
+    0x47227392, 0x322fd2d9, 0x893fb311, 0xe046a60e, 0x1b5c2bc2, 0xe043890a, 0xae6d7774, 0xead7d2f6,
+    0xab4db6e3, 0x9b08e55f, 0x52966afc, 0xac47d4d8, 0xb754cdba, 0x54894476, 0x7c5dc962, 0x8b3d7d75,
+    0x36e84903, 0xae6e9d03, 0xbcfa394c, 0xa970a99c, 0x9cbb90cd, 0xda7da8f4, 0x91d5bca7, 0x395dd365,
+    0x795d828d, 0x4f10d1d5, 0xa791f4f2, 0x2a48b8c5, 0x1cbc9aeb, 0x0c65752c, 0xba45ceda, 0x6128c9bc,
+    0xe448af78, 0xd29d9d6a, 0x838f8807, 0x538453c4, 0xff5a32e6, 0x068b27b1, 0x6580d76a, 0xdcc3a455,
+    0x84d8bc27, 0x270a5cbd, 0x958ecd73, 0xed665c23, 0xf1a7d5fb, 0xf3a7dce4, 0x6796b230, 0x543d4f6e,
+    0x13bf35bc, 0xb5e55462, 0x7e25ee53, 0x7348a29a, 0x75dd2bd4, 0x3673fe30, 0x46699881, 0x049a1a48,
+    0xd08008f8, 0x94fca70b, 0x9c6d927c, 0xc1b4cb9c, 0x805d34ea, 0x14d3e82b, 0x0cd79a8c, 0xeb27fae5,
+    0x8cd8e078, 0x70e191f1, 0xeeb6f0f1, 0xeab19077, 0x0100ee08, 0x99d513a3, 0x10c1b9da, 0xb352954e,
+    0x5cf71101, 0x567dfcd8, 0xbcd1f49e, 0xdac68e50, 0x543ddbe1, 0xf8fe1616, 0xe5dffc06, 0xea3a4d85,
+    0xdcaca358, 0xc72f9797, 0x303992b7, 0x0292bcf3, 0xae8858c4, 0xbf4428af, 0xab057846, 0xa83a6335,
+    0x0e3c6eb3, 0x7b819ade, 0x701f178a, 0x81f3cfe3, 0x26b4d672, 0xbff716a6, 0xe4fb7609, 0x78b43420,
+    0x2b09144b, 0xf3813dd6, 0x4a1a1c65, 0xa1ff7ff6, 0xd7bb5a76, 0x0f5d3a74, 0x110fc560, 0x26312567,
+    0xd622b662, 0x88ccb9fb, 0xc5c66b87, 0xabcf9e0f, 0xdc8ccf60, 0x40bd9e9d, 0x311f51af, 0xcb8e162c,
+    0x26358b81, 0xd6c7d12b, 0xf1230464, 0xec6e513d, 0x7ea54014, 0xe53dba49, 0xc5579056, 0x348e13e1,
+    0x84225a7f, 0x937b4e42, 0x418e4260, 0xb1443704, 0xadcf92ce, 0x612cb502, 0x9bc114cf, 0x6890106b,
+    0x99566716, 0x33666a5a, 0xdb47e68d, 0x338f15c8, 0xc152456a, 0x0ab7700e, 0x34be77d6, 0xef3c36bb,
+    0xcef85573, 0x68c93518, 0x8fa59eaf, 0x6379b56b, 0xa391422a, 0x9afc491d, 0xf5c065cf, 0x887ad10c,
+    0x6db62cfa, 0x52f76115, 0x9a6c22e9, 0x267772cf, 0xfe8f77ec, 0xce29779b, 0xa5c15ad1, 0x68e7b6ae,
+    0x888cb3a3, 0x2ee73d2c, 0x7ba09edd, 0xe9bdb1fd, 0x74a51906, 0x179377d9, 0x85e58833, 0x64bc8446,
+    0x18bb5cfe, 0x9ab4d7a7, 0x19ee5e01, 0xb0e96621, 0x218d7f11, 0xb08ececc, 0x75c3fb15, 0x94da2819,
+    0xc0b9366d, 0x738312c2, 0x4b2dec7c, 0x7587ed10, 0xd3c62456, 0x1ccd4a29, 0x8b11a690, 0x699db784,
+    0x635af9af, 0x992c6150, 0xeb1871cf, 0xa2fe8c3d, 0xc8dd7ce9, 0x0dd4c165, 0xffa2938a, 0x8fda3f8d,
+    0x7ac813a5, 0x715d3683, 0xcd43e286, 0xd63317d8, 0xf4435969, 0x1a4843b2, 0x59838909, 0xfd029813,
+    0xefa604cd, 0xd59906c6, 0x2322b144, 0x40faec54, 0x6244b24a, 0xca5c6eb2, 0xfff385d3, 0x581a5a13,
+    0xaa4f22c9, 0xf22e1553, 0x748dc871, 0x97f2fac3, 0x6feffb29, 0x7ff4511c, 0x0b6f09ca, 0x1beec779,
+    0x5b18e9da, 0x6c2f2779, 0x634840ca, 0x1e3119a3, 0xaaec4caf, 0xf82bab67, 0xa23739b4, 0xae5690cb,
+    0xba460717, 0xb1840913, 0x66db573a, 0x0832b35d, 0x879b5819, 0x7ad614d0, 0xd9edf2e2, 0x1b8772c3,
+    0xc4e8347f, 0xd38bd7d8, 0x73307cef, 0x26f165bf, 0xcb90fbe5, 0xf856776a, 0x6fd8c5d0, 0x99d93d7f,
+    0x8344c9fc, 0x75341a66, 0x12d11964, 0x75bd4c81, 0x0ac5db39, 0x8a715df7, 0xe8c8a87f, 0x9a4a0c4a,
+    0x0b50c678, 0x179218ea, 0x175607e4, 0xfbb3850e, 0xdbfa4e42, 0x12568470, 0xee0c717a, 0xc9cb1a5a,
+    0xc8340288, 0xd1f57e1e, 0xdf5384fe, 0x0d826201, 0x548cadf0, 0x2f7ef460, 0xf7bf2255, 0xdfd17824,
+    0x96ba8d69, 0x6b6d7719, 0xcdab6f28, 0x158bbaf3, 0xe7680c4a, 0xccd4803e, 0x10983f42, 0xb1ff131e,
+    0x30d89e54, 0x638cc10f, 0x4ff8fe00, 0xa9ec23be, 0x52f63b5c, 0xdb9b4357, 0x94da2feb, 0xdb7513c1,
+    0xedc1547b, 0x4441096b, 0xdede8a3a, 0x0d20e966, 0x4d6ab1ed, 0xaae8b76a, 0x6086b253, 0x8d8d47c1,
+    0xa21881a4, 0x20b69407, 0x11b69651, 0x2e88832b, 0xb4c59b5b, 0x02b79f90, 0x6b519ff5, 0xaf44e873,
+    0x10de7eb8, 0xfdc6edc7, 0x20846be2, 0xb7774905, 0x7c8217e4, 0x2f59eba9, 0x951d0038, 0x0476807b,
+    0xa6d92075, 0x28c676f2, 0x4a971524, 0xfb6195ff, 0x137d9e83, 0x2c06ee6e, 0x9ca3bb26, 0x04fb5094,
+    0x6ac2ead8, 0x91c69edc, 0xfd585481, 0xab0c9bd4, 0xc5b25bf0, 0x7774ccf8, 0x84cfb0c0, 0xdcb1f028,
+    0x40716e32, 0x5ed25d5a, 0x2b07933b, 0xd20c34e7, 0x8e7865d8, 0xfdc8e490, 0x44ab53b5, 0x82c1a904,
+    0x4a4002fe, 0x6efe8285, 0x05e4b16a, 0xdab51aa0, 0xf7a6d160, 0x658afa4c, 0xbc26a175, 0x4b7a0be3,
+    0x4c398fdc, 0x006040cf, 0xc387a8b1, 0xe0212c4d, 0xff914f23, 0xfad8cd20, 0x9f5c43d9, 0xa7061f97,
+    0xe2c4d092, 0xe9b15811, 0xfec4093f, 0xb82132c9, 0x963d2d83, 0x3d5fba6c, 0x9091a7a6, 0x752a42f0,
+    0x9e3cb44a, 0xa63faf24, 0x7a2923f0, 0xdf7ea94e, 0x8c09fa4a, 0x0940dd3b, 0x87f86bf7, 0xf0e6ce45,
+    0x2919191d, 0x2262df6f, 0xc4310da5, 0x3f9d65df, 0x56fdaf1c, 0x66444e2a, 0xb8dac760, 0xcaf01550,
+    0x0e6f8f89, 0xf29a19f7, 0xc2bfc8ce, 0x411cddd4, 0xe22ca080, 0x0d841011, 0xd5725ff9, 0x0310761a,
+    0xb9ce046d, 0xc15e62ef, 0xd6da3441, 0x3b527836, 0x183333c2, 0x473034ec, 0x20d4022e, 0x30d2f23e,
+    0xae94b449, 0x3b258edb, 0x1444a38b, 0xda2e5f57, 0xde544bc9, 0x5c75b619, 0x11887f1b, 0xb6a77d30,
+    0x23b97b08, 0xd9e3ae8f, 0xfb141154, 0x9866a8fd, 0x3b4d031b, 0xeee6e0ac, 0xa3c91329, 0x1e415e05,
+    0x4313ce81, 0xfaf41b6f, 0xd14d7943, 0x20e31370, 0x72397c5f, 0x42801390, 0x5da0500c, 0xa8720f81,
+    0x0c05c236, 0x0294e151, 0xc3df27d1, 0xfb8b76e4, 0x599e4f6e, 0x3d0adf5b, 0x4f6f92e1, 0x5c467191,
+    0x81e4633c, 0x2946aaf4, 0x3edf3e87, 0x441ed2bd, 0x78bbc1df, 0xfdf5dc67, 0x670e8f03, 0xafba3ca7,
+    0xb5c0268e, 0x2e1dc5d9, 0x842a1cbd, 0xf376274f, 0x383837c8, 0x3afe201d, 0x2228d430, 0xe9abaf58,
+    0xecc32b79, 0x56e1bcb1, 0x981f0b4d, 0xdff220aa, 0x945bc0be, 0x7fc1e53a, 0xd0c5ab99, 0x4e539c22,
+    0xfbc18845, 0x9b2bb065, 0x5196449a, 0x6b096d9e, 0x0495e04f, 0x42d649cc, 0xe1c5626b, 0xb3600c09,
+    0x49f94466, 0xe5378ea0, 0xb2d86ede, 0x9edef807, 0x0a6f27bd, 0x75e29158, 0x00e3b8a7, 0x274cd38d,
+    0x6a75a04b, 0x5ee0ed7f, 0x5529b0fd, 0x255c4573, 0x0bbd70b9, 0x2d5deac4, 0x20d16954, 0xc5750c13,
+    0x9f9a1c25, 0xfe48caef, 0xdffd9513, 0x6864abe2, 0x546d9bcb, 0xa08c47d5, 0xc044601c, 0x5577b8ab,
+    0x79d721d0, 0x25709e11, 0xbc739729, 0x4e064c4c, 0xf83295df, 0xecef9a75, 0xc7258c69, 0x970d93ab,
+    0x736c7e35, 0x942c1d48, 0xda32238c, 0x116f315a, 0x6389180c, 0xc7f885cf, 0xe0d78cbb, 0x7f39e12f,
+    0x3e873e41, 0x8f9d302d, 0x1bcfe3d9, 0xa79d2025, 0xa340596e, 0x5a86051d, 0x1eb876b8, 0xfe8ecf30,
+    0x00000000,
+    0x59d0664f, 0xc8082e78, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8,
+    0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000303542\
+                         01441027016733116592294117482916287606860189680019559568902170379456331382784 */
+  { 0x00000000,
+    0xf60b610d, 0xe50157f5, 0xece1a2ae, 0xd785acf0, 0x499fd150, 0x1b3279ea, 0x519fddbd, 0x39e846b9,
+    0xce6e17fc, 0x45fc02d0, 0xbd2d4722, 0x0d17924c, 0xc5bcc603, 0xc6afef74, 0x934d6bfc, 0xd7406370,
+    0xfda947af, 0xb46f8e93, 0x28529346, 0xc27c96a7, 0xce22cad0, 0x2764152b, 0x35ef9717, 0x97b6e056,
+    0x47309ff9, 0x4077adc8, 0xf135e080, 0x706038f8, 0x0132430b, 0x90e6439d, 0x3fcf630e, 0x4f6f758f,
+    0xbbb6f7c9, 0xa1ca766d, 0x66dcfa0d, 0x05c0baeb, 0x419eeb66, 0xc54a2632, 0x012785ff, 0x9b0a332c,
+    0x02efc043, 0x434a0e1a, 0x88e0b560, 0xbaf83bf5, 0x8fe3aeb0, 0x4b45cca0, 0xd3bdca96, 0x1c64d565,
+    0x270a60be, 0x09c49f7a, 0x92c4380c, 0x699d6280, 0x22c5b052, 0xe8ffdcba, 0x8bc2d675, 0x025deceb,
+    0x82afe054, 0xde8a58a3, 0x1793a2d6, 0x1716c5d6, 0xdb2518b4, 0x5dff67d6, 0x5485123a, 0x17349cbd,
+    0xd7dc0018, 0xe3b7cb55, 0x5c55a459, 0x502550e8, 0xfa5649be, 0xe7fba616, 0xc95c8a60, 0xb80c947f,
+    0xfd6b40fe, 0x4d5949a5, 0xd34551ea, 0x03367dd2, 0xbec924b6, 0x302264a7, 0x6a068884, 0xb4a23741,
+    0xcd69f077, 0xc5c2bfed, 0xb8e1bc14, 0xccbb2359, 0x3d77adba, 0xd6b5e9e9, 0xfb68fa10, 0xc80917b7,
+    0x88070ce1, 0xe3d5bdf0, 0xa263023c, 0x94fa0317, 0x262857f7, 0xb7522b7d, 0x0dd2207b, 0xc8c31554,
+    0xa26a2ef5, 0x725b0699, 0x99ae6513, 0xc04312fc, 0x7ba8d45d, 0x30cf78c1, 0xdcf32be0, 0x09d61a12,
+    0x18aa440e, 0x20bad996, 0xd594ea4f, 0x21dd2559, 0xb0215875, 0x551b8702, 0x3c73cdbd, 0x98254032,
+    0x38292868, 0x31972ca9, 0xe8e75398, 0xdb809a85, 0x5ec8c3e0, 0xaaf1e4ec, 0xc6735db8, 0x4cb4c01a,
+    0xfbec1bf2, 0x6e354758, 0x23554cb9, 0x90388cd3, 0x9569e49a, 0x86a0152e, 0x4446c513, 0xc5472a3a,
+    0x9722210d, 0xaed737a9, 0xec2f45ea, 0xc543af1b, 0x3ede92b3, 0xfe796f32, 0x97ead4ab, 0xbe6c98e5,
+    0xfc4a7494, 0x61ffe0c9, 0xe9a22f8b, 0xa70ca0a6, 0x6d7202ee, 0x7b9cf9e2, 0x74d6456d, 0x0f38f0ab,
+    0x0a89b36d, 0x3626331e, 0x675f66d9, 0xf898876c, 0x1755561c, 0xc69129f1, 0x15f70612, 0x05b522ec,
+    0xa43878f2, 0xa4041c15, 0x54fcc249, 0xb92178af, 0xdfb1243c, 0x80a620fc, 0x90a31e4a, 0x6754316c,
+    0x95ddcd85, 0xee2b34d7, 0x6ee90e55, 0x5ca4ff7f, 0x266242d0, 0x9fd74e0a, 0x9dea9c1a, 0x32d45b2f,
+    0x9b2b0ae0, 0x36d32c1c, 0x06ac80c9, 0x02b6cad9, 0x1ad639ea, 0x6023836b, 0x2bad2ee2, 0x9db8de6b,
+    0x30c28c91, 0xcf168685, 0xffcbd9e3, 0x2c6092ee, 0xfb1ed298, 0x431bae47, 0xb96e69e9, 0xed615757,
+    0x92c00141, 0x29d167ec, 0x06dc6a53, 0x776944fb, 0x5129296c, 0xcd6b9300, 0x0f071c6e, 0x0b9ad49b,
+    0x10867256, 0x25e38728, 0xdf946c2c, 0x55159c7d, 0x996e4b24, 0x14bcdeae, 0xecf327e1, 0x096f3fa6,
+    0xb9c36d82, 0xaf14bf56, 0xf92695c2, 0x650bfdc7, 0xc4df2ba3, 0xf00a6b05, 0xdf4cdd27, 0x62033687,
+    0xe33729d3, 0x2079408f, 0x937cc4db, 0x3f8db329, 0x9bd7405e, 0xcae138ff, 0xf8c28acb, 0xec10c4c5,
+    0x633fcead, 0x5c43bf24, 0xb0826474, 0xcad8e0b7, 0xab41e071, 0x20339d09, 0x7e653da8, 0x8257f81d,
+    0xd62a212e, 0x86887be4, 0xa1161ca7, 0x95b14c56, 0xe28e30fd, 0x8eec336f, 0x49fb31c3, 0x864a198a,
+    0xaed9c677, 0x7c4cf65a, 0xf2b9c8b2, 0xb76d8947, 0x1b45d6a7, 0xeb2c8739, 0x74a104c1, 0x08fafb48,
+    0x03e2c8d5, 0x6c05d1e2, 0x3b012766, 0x7313f5e6, 0xa426f26a, 0xc85dbf30, 0x9bbb2634, 0x147ae081,
+    0x52dac773, 0x911e895c, 0xfce59639, 0xd8558806, 0x2a983457, 0x0305bdb6, 0x3ed85047, 0x11df5ec8,
+    0x37266916, 0x494510c2, 0x9394aefb, 0xde59fb60, 0x2d271611, 0x7e58cf2b, 0x2e824f20, 0xc100e2ed,
+    0x94a7adda, 0x946b2723, 0x1814d90d, 0xf0470255, 0x163cc3df, 0xcc34cae9, 0x97128096, 0x9495dfd0,
+    0xed3f10a3, 0x5ffd350f, 0xdd3d960f, 0x4ae310fc, 0x92b05d20, 0x1ed59fac, 0x1ed42c81, 0x8f1b41f2,
+    0xed1ec662, 0x8390b54f, 0xb9123ad3, 0xa69b7272, 0xf4f8f440, 0x12a75298, 0x27ce2180, 0xb77f1613,
+    0x5a2403ae, 0xd7bf29c9, 0xe77cf399, 0xc163ebba, 0x9a411acb, 0x048d386d, 0x7cf8a446, 0x2f4dbcbf,
+    0xb521a473, 0x9e9c2cf7, 0x2bc3cb51, 0x5def7146, 0x34984643, 0x68ab237b, 0x97714786, 0x961a63e5,
+    0x38f8aff0, 0x904a7c29, 0x2352b369, 0x84e43dc2, 0x8a6dbbf8, 0x6cca07d4, 0x4be27a65, 0x5cfb8cea,
+    0xc45eff3e, 0xcd90a4af, 0xca8e4de1, 0xd027f12c, 0x86998e1c, 0x0af68503, 0x9dd68e90, 0x5de42e5c,
+    0x08d51760, 0xfd89c29b, 0xb77c6cc7, 0x4661799f, 0x37270a65, 0x64526d65, 0x4679d5d6, 0x98adaca2,
+    0x7d3cd3d3, 0x83a9175d, 0x06880f97, 0x139d66b6, 0x7ea0e6b5, 0x2bd20b6a, 0x02afe2e9, 0x26343fc0,
+    0x30ed7206, 0x89aef11e, 0xf792d0b0, 0x3ad38894, 0x56a4b720, 0x16ba4355, 0xd570dcd6, 0xa8622dd2,
+    0x1f7dc7c0, 0x01ef3524, 0xcacf4194, 0x7a70e04a, 0xc8a6cb91, 0xaeba6bf6, 0xbf8786b7, 0x660a4041,
+    0x6c045c90, 0x1534c3c2, 0xcfb347aa, 0xc2548ef1, 0x29f043e6, 0x69a72f42, 0x5ab52122, 0x36d09ceb,
+    0x707ac24f, 0x38729012, 0x8c1b73e6, 0xcff36389, 0x4934a28d, 0x62272969, 0x35ae9562, 0x468201a3,
+    0x0b9a79ab, 0x8f693aaa, 0xdc05d5b0, 0x5b749662, 0x4ed686ea, 0x5d15ff85, 0xfa92d749, 0xcf505f20,
+    0x9c8604fa, 0x2d5162c3, 0x3ead05e4, 0x664e0fd0, 0xe53825e6, 0x0b0e19a3, 0x11a2319b, 0x63c6c397,
+    0xf0905249, 0x8557416e, 0xfefdf70a, 0x2f7d5b4e, 0x1359d30c, 0xbf8e2690, 0x490cbaef, 0x5d53de97,
+    0xce6e37f8, 0x698a3c9c, 0xd5fe43a3, 0xaa2579e1, 0xf37738f7, 0x3ecdbd5d, 0xde1b5d25, 0xa9e54e79,
+    0xf0927475, 0xe09a3c3a, 0x7cfb3d4d, 0xb0c9243d, 0x774057a5, 0xbf49c4d8, 0x776792f2, 0x7536c4e3,
+    0x072905df, 0x2418728a, 0x025a7715, 0xddaa37d6, 0xd839799b, 0x9daa4e4f, 0x47fbfb02, 0x50927f14,
+    0x0d2e3ff2, 0x2269d724, 0xec79450a, 0x0c0bc773, 0x9b342425, 0x917e86b8, 0x04585596, 0x8c9a301d,
+    0xf563c149, 0xf91cb910, 0xf8261c97, 0x86a31ab6, 0xa7c2047d, 0xbe06e979, 0x8f84445c, 0x0743c48e,
+    0xff824c05, 0xab79cd36, 0x704c6b04, 0x7f0fe126, 0x6193785b, 0xddafa57a, 0x2fc9a77c, 0x872afbb5,
+    0x1e614144, 0xf2e2b523, 0x63dd392a, 0x50333f50, 0xa6fdb187, 0x70523303, 0x13d393e1, 0xbbca3308,
+    0xd515be65, 0x811cec6c, 0x07598776, 0xf0e04079, 0x6608dbfd, 0x83528a6d, 0xa7245af0, 0xf4a79d0d,
+    0x32bda1f4, 0x0392a600, 0x17046311, 0xce51c17d, 0xfbfbcda0, 0xde016a47, 0x5e8d355e, 0x11ee1b05,
+    0x238a26bc, 0xaf3421e6, 0xd518a357, 0xadfa53c5, 0x5924877a, 0x86975fea, 0x1e0f94a6, 0x70f24747,
+    0x934ef785, 0xd1d8f1c7, 0x6fbe1983, 0x3dc0980b, 0xe31eba88, 0x7fbf1880, 0x4ffe2215, 0xc602bb82,
+    0x36940eae, 0xf4339fa4, 0x8a6818b1, 0xfacc99f3, 0xbff6f83a, 0xddd0f14e, 0x1895e29f, 0x12ab9be5,
+    0x7af52806, 0x55d2abe6, 0xdfcd9364, 0xf8656bdc, 0x93dea37f, 0x0e61884f, 0x0e07e6be, 0x904e0161,
+    0xd5f35271, 0xcfd104c4, 0x9194db56, 0x9049d5f9, 0xb0a0dde3, 0x3e5d8ed9, 0xdc13d2ab, 0x469ec176,
+    0x3db499f7, 0x0a3717b4, 0x8c6c2448, 0xaeaedada, 0x01ccfab8, 0x64c3aecb, 0x157cc6a9, 0x919c7c7a,
+    0xc802ca09, 0xf8a6b191, 0xe94fcf2b, 0xd467458e, 0xda9fe7e4, 0x171d46b1, 0x77af1295, 0xfc221ec4,
+    0xad4b1741, 0x9b9163b4, 0x6dd961c8, 0x4bdccee7, 0x6a1cace1, 0x60d04065, 0xc3442916, 0x4ef3341c,
+    0x174e55e9, 0xc20ecc11, 0x77df116f, 0x7796b902, 0x3d6b62fb, 0xa610aef4, 0x7bcd1523, 0x838bd9d0,
+    0xa85118f6, 0x18986008, 0x6b864e61, 0x02579ada, 0xf521fda7, 0x20b551fd, 0xa7639c97, 0xa1735606,
+    0x62cc6737, 0x87cbc60d, 0x9e4dab54, 0x1d2fb117, 0xb088c579, 0x44daa6c2, 0x8af8c72d, 0x485598bb,
+    0x1bf9228a, 0x4a6c6e90, 0x1e2bb4dc, 0x9cdef221, 0xb77e18e5, 0x956aef4c, 0xd9a8e911, 0x4d77e304,
+    0x966a9961, 0x4e781449, 0x2538c77d, 0x1bf0d3aa, 0x0cd0c3e9, 0x74ec38dc, 0xdda5b6ff, 0x3a07873e,
+    0xbfb7c9d0, 0x1b3a4c96, 0xcf355e16, 0x5a295912, 0xbb1a5ff7, 0x4072b8a0, 0x8e63df8b, 0x911c5ecf,
+    0xcae36dca, 0xc73f2cc5, 0xdd1c782a, 0xcce9deb7, 0xe7c863b9, 0x76e343fe, 0xea69c2b8, 0xdcf4ccfb,
+    0x311a8c56, 0x2a0593c1, 0x749f12ad, 0x73cb4f14, 0x66420b8c, 0xb173fab8, 0xef2dca9c, 0xcce4902d,
+    0xf95a2fe8, 0xcd6098e3, 0xbc918158, 0x2f73215c, 0x53ca69e9, 0x0473e5a4, 0xce6272c1, 0x9aeaa8c2,
+    0xbbd617c1, 0x71a42e4d, 0x4b265989, 0x016d1a7c, 0x9339684e, 0xffbf2591, 0x52af59e8, 0x553cb1e5,
+    0xc4274ad7, 0x0c027dee, 0x77ea7abf, 0x0167f7ca, 0x78c14b05, 0x31f4eb5d, 0x2ec9d8b6, 0x6d112d73,
+    0x463fcf27, 0x41821ea6, 0xf893439e, 0x42d91578, 0xa497a705, 0x4a808ae7, 0x0bea357e, 0xcab79b04,
+    0x1c7ea6bf, 0x40f8ad01, 0x4e41ded2, 0x58ac3941, 0x85eb6aa8, 0x491f9080, 0x2504845e, 0xc67b0621,
+    0xce96a46c, 0x70c03007, 0xe67d35b2, 0xf180d1d2, 0x4f1de10a, 0x3d37aa3b, 0x478e9af3, 0x103c4d3b,
+    0x4325f0fa, 0x6465d9fc, 0x11338607, 0x98bb7a72, 0x277b695b, 0x65173291, 0x05e4a89d, 0x04c774e3,
+    0x8e71d927, 0xf36761c1, 0xb51fed34, 0x22b83984, 0x59146a2e, 0xe75c4ae6, 0xf67b1edd, 0x96c96faa,
+    0x953a859d, 0x3d227ae9, 0xae2a4c9f, 0xebe79336, 0xd082a5bc, 0x1af9bdab, 0x0e377e4e, 0x5ef2793d,
+    0xe62ea14e, 0x417c034c, 0x3f818ac1, 0x67278ebf, 0xb715a39d, 0x1eccfba9, 0x05e90cf2, 0x6a1b32e2,
+    0x951fd4d6, 0xd357f31a, 0xd32c537e, 0x7380825c, 0x35bcd395, 0x1d00a7d9, 0x523f6353, 0x0984543e,
+    0x67e2045b, 0x080a6b98, 0xee49fd36, 0x1863f1ce, 0x664208a8, 0x2fdd7a56, 0xe3307b1c, 0x72aa878f,
+    0x9c64b46d, 0xa4e45be2, 0xb82fa2a3, 0x7634f3cb, 0xeb33ffbd, 0xb13887ec, 0x471fe6f5, 0x65654725,
+    0x6385ebbb, 0x0a5bab46, 0x88d12457, 0x1493491d, 0x07c276f3, 0x570ee2eb, 0x7ca8f8c7, 0x42ddc9b5,
+    0xa8d7b3e8, 0x5bc2b334, 0x26d12c5e, 0xb8474e8e, 0x78729169, 0xa21901d3, 0xfe378ce4, 0x928577c0,
+    0x7e491d43, 0xd59b544c, 0xf38df667, 0xce439c55, 0xd587fe00, 0x436f5c7e, 0x874287cf, 0xc74344ba,
+    0xb69ae8ef, 0x98292876, 0x94e5b87f, 0x7d4825ca, 0xef88dda9, 0x7a58e327, 0xf7a05793, 0xb2fd9365,
+    0xd3be00a3, 0x0c38d1e4, 0x1a7ce362, 0x085bca22, 0x84494a72, 0xcb0f80e2, 0xd22f7c85, 0xdd9e2ef0,
+    0x0a53c23e, 0x14827a75, 0xd36c3bce, 0xe84d11e4, 0xc43afac1, 0x31e9b17e, 0x98f3e4c6, 0x0b8cfc8e,
+    0x1975c8bf, 0xc2b3d9c3, 0x3a8f4a61, 0x77a7e2c9, 0xc6977976, 0x07ec7406, 0x61f2d189, 0xdde9a5c3,
+    0x46138e17, 0xabc06b0f, 0x5b575563, 0xe097247f, 0xab1fe1af, 0xea7b881c, 0x81989176, 0xe6e73011,
+    0x1c5b15c5, 0x7d73b5b9, 0x026521b0, 0x37474ccc, 0xcb3fbbf6, 0x5572555e, 0x0adfd827, 0x85d9265d,
+    0xb0801be2, 0xbd9e4ca2, 0x05219e1d, 0x27efe775, 0x2b8ce5da, 0x44df1af9, 0x84a31e8e, 0xe50db9d9,
+    0x221f817e, 0xb4f76d1e, 0x33c822c5, 0x12ec54c2, 0x5ce13aaa, 0x6cabd5ac, 0xd47270cd, 0x03862a4e,
+    0xdb8dc2f9, 0xff5ae3b7, 0xa0abe6ef, 0x11f0a2df, 0x089d4864, 0xb03dcb83, 0x2b80309b, 0x8be50df7,
+    0xd67c8592, 0xc6b9eae8, 0x11e0e98f, 0xdb325725, 0xf9916dd2, 0x387698f0, 0xd8cfd49f, 0x21a0ded7,
+    0x5c2c47c0, 0xe78a1cf7, 0x12148bdc, 0x3dfb9c36, 0x5016fc1f, 0x93a78a9a, 0x50f67dfa, 0xd0579885,
+    0x8a113f44, 0x15515207, 0xeca1e68d, 0x8d4b5f59, 0x6fc1fe2d, 0x15ebcf2d, 0xc97f25f6, 0xb89ae2d2,
+    0x14b6631d, 0x4e6cb597, 0xf6ea5f9c, 0x9e000618, 0x8199c603, 0xdfa3b37e, 0x686b7a90, 0x5ab2bb8b,
+    0xa9b7f60b, 0x4204425c, 0x06127f1a, 0x5a046fe6, 0x78f5b0cb, 0x6ff8d96f, 0x0284914f, 0x77ca5c9e,
+    0xfa184162, 0x567a4075, 0xeb2853ab, 0x80904222, 0x7c794e57, 0x501e88d4, 0x249d90ed, 0x429a0c47,
+    0xfa7eee64, 0x7848886d, 0xd6765798, 0xa670841a, 0xb68d8a5a, 0x9ee93d47, 0xb81a8cbc, 0xf043431b,
+    0xbac9dc28, 0x7a0d2f2e, 0xee812fab, 0x744a5211, 0x127ae166, 0xf8ad2823, 0x91f0709b, 0x04d2d94f,
+    0x1a68ff55, 0xef240e22, 0x8273817a, 0xd4a68202, 0x9cf3bfc8, 0x71d45f3b, 0x6e41d7dd, 0x66652d3e,
+    0x24c8be86, 0xe0976cc7, 0x58fbaa6d, 0x09ab6e49, 0x30258844, 0x127f2935, 0xf314f3f2, 0x855b933b,
+    0xf3282bd1, 0x2b3fc710, 0x248b5a71, 0x4c593c5f, 0xaa033c8a, 0x3894eb29, 0xb360f60b, 0x56983ce7,
+    0x3d6e283f, 0x0ed0b47d, 0x8fa93b75, 0x3c1bd813, 0x48fbf269, 0x3fe5e884, 0x0d8a9b48, 0x9d69a328,
+    0xbc8b6e3b, 0xf0577200, 0xe3bfaa4e, 0xa322a9fd, 0x0493d8f8, 0xe8b62145, 0xa61ee59b, 0xc286d873,
+    0x3db06c6a, 0x9618caaa, 0x99086682, 0x22fb6c44, 0x74db3a9e, 0x7ab4a831, 0xcb4f47b8, 0xdc5c293d,
+    0x5bcf35ae, 0x5690a919, 0x310ee52f, 0x7fc67f76, 0x43d41050, 0xb354ed77, 0x069dc75e, 0x6851f795,
+    0xb75fedd5, 0x729ddd82, 0x5488176a, 0xf08b7cbe, 0x15e313fd, 0x04517264, 0xc3820bcb, 0x8def0277,
+    0x848aa56f, 0x222f082e, 0xbbe198a3, 0xed66e078, 0x67ce36af, 0x39de7d23, 0x078509ea, 0x3a2c5e1c,
+    0x0939fe3e, 0x01e50d00, 0x67c024df, 0x63190a42, 0x1ade25f2, 0xd683a6bb, 0x64534a1e, 0x1ac756d1,
+    0xa30c3fbe, 0x18632c21, 0x8e9acb4f, 0x71f2faae, 0xce54cebe, 0x68e680fd, 0xd5f2138d, 0xd9ce34b3,
+    0x69c4e320, 0xb9cbccd1, 0xaa0b5ac1, 0x770d41e7, 0x233def55, 0xec29e1b8, 0x9dea8d4d, 0x5e7b32fd,
+    0x77af5e77, 0x5a7c39f3, 0xb96c7bdb, 0x79826c6e, 0x78e91523, 0xaad3fcc8, 0x31319156, 0x89b35419,
+    0xffccad18, 0xf9b0b525, 0x7d4c25e3, 0x81b8116d, 0x81d74dee, 0x195ada79, 0xdebf8442, 0x38162aa2,
+    0x73775040, 0xa2b2895b, 0xc57a64e7, 0x675e994b, 0x4da06bda, 0x2c3be6f7, 0x83180719, 0x1c24f27e,
+    0x7dbf4e31, 0xd7c57367, 0x2bd5b9f0, 0x2d2d0d0f, 0x2fc0403b, 0x409e6f41, 0xab961ec4, 0xeeb00e70,
+    0xf36489df, 0xf38cfe33, 0x4476e79a, 0x7fd9db7f, 0x84b97731, 0x603621f5, 0x03ed0d3d, 0xfd8af735,
+    0x8f087de0, 0x1cfe78da, 0xb4e06541, 0xb98dde28, 0x600d55ba, 0x6ab8c71a, 0x3b2e9f39, 0x7f08eac0,
+    0xf0fa94db, 0x3d0ce65f, 0x92511d15, 0x0b5a9836, 0xee2c2c22, 0xcbbc586c, 0x328480db, 0xb4823caf,
+    0x00000000,
+    0x2ce83327, 0x6404173c, 0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc,
+    0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000151771\
+                         00720513508366558296147058741458143803430094840009779784451085189728165691392 */
+  { 0x00000000,
+    0x469d0c78, 0x38239217, 0x05d17cf0, 0x5ef196ad, 0x91b1e169, 0x9dee87e3, 0xd7599a34, 0xbac2ac23,
+    0x684a506d, 0xd314faa3, 0x4daba4c5, 0x99e69c75, 0x35bd9aaf, 0x321e5c8a, 0x567d40e2, 0x161c4d4a,
+    0xac35e619, 0x347c785d, 0x90099ef8, 0x5961618b, 0xa88d357a, 0xe4411ead, 0x13928c74, 0x680c59a8,
+    0x391c3e61, 0x4b38e070, 0x6e7f004f, 0x9b5040f1, 0xeee35b2d, 0xdbd91b31, 0x2c4fe5c4, 0x805a852a,
+    0x3649c4f3, 0xb754d713, 0xf153bcac, 0xfda357ac, 0x5e410af0, 0x7c6602a8, 0x9da5c70c, 0xed598596,
+    0x97cc5193, 0x401555ff, 0x1a181206, 0xcbe62faa, 0x89b566dc, 0x305e3a43, 0xc351ed27, 0x827aab18,
+    0x6d0ff85c, 0xf66c0303, 0x1d40d4c7, 0x1b469b69, 0xc0911617, 0xfeddd61f, 0x288d979a, 0x490b4b97,
+    0xcaca011d, 0xe6468b95, 0xbc9ec635, 0xf0c67bc1, 0xa7d94051, 0xe7b35490, 0x385b4ea9, 0x67cd4559,
+    0xafe535ee, 0x8b2a01a7, 0x6a6a78dc, 0x75bb2116, 0x7b87bbe9, 0x869f1e7c, 0xfa77bc87, 0x028c619e,
+    0x4389b32f, 0x945af456, 0x2d4eec7a, 0xa76dc8b4, 0xf9b0ca41, 0xa789d560, 0x40af466e, 0x5203f968,
+    0x1828c27c, 0x2cf85d14, 0x3092bde7, 0xeca9ef83, 0xe3c29b68, 0x0cea320c, 0x259f4a74, 0x9a52d138,
+    0x81840afa, 0xc84c6672, 0xc2c1b316, 0x185edf4a, 0x509395f8, 0x649db541, 0x0d8aa69f, 0x77b3b610,
+    0x5a75fee8, 0x5c62476e, 0x7aa1dd5b, 0x9bb4a0cb, 0x6121ccd2, 0xbab32ad1, 0xc8c5638a, 0xa177e973,
+    0x9799344f, 0xd11bda44, 0x58199c4b, 0x635e72de, 0x5960cc6f, 0xbf02aa6d, 0xe1ecd63a, 0x877bfec3,
+    0xfbf78558, 0x857d70fe, 0x91eba210, 0x69729dfd, 0x3040f3af, 0xf8371228, 0xbcf1712f, 0x7360bdcb,
+    0xd8c31380, 0x59bce675, 0xdb064ed6, 0x9783281f, 0x4903532f, 0xaac144d4, 0x49d506a5, 0x9195c83e,
+    0xeb17af33, 0x2d36fab5, 0x6b22f951, 0xfad11017, 0x19ac4bae, 0x75d54e11, 0xf6c10eed, 0xb58367a4,
+    0x53e256b7, 0x7c330f60, 0x831d6223, 0x8df7c5d6, 0xc54ea05a, 0x07101102, 0xf197fefe, 0x35b379c8,
+    0x92c7b919, 0x16cd13c5, 0x93c499e4, 0xefe737d0, 0xd58bd1fd, 0xef6b1cf8, 0x2bc3e0ed, 0xac17603c,
+    0x0bdfaaa9, 0x17906510, 0xcb1b69ec, 0xe02d834d, 0xe86756d1, 0x10126afd, 0x4650aae5, 0x9ba10ff6,
+    0x0f190720, 0x1546e320, 0x0bef89c8, 0x7cde17b1, 0xc154fecb, 0x823f1a54, 0x30c05ff8, 0xa8d1634f,
+    0xc9d1db9f, 0x058af368, 0x103c6d3b, 0x26dfbc07, 0xc026d6bf, 0xa5981d13, 0x3858124c, 0x266d89a1,
+    0x8e44bb0a, 0x61083d5f, 0xfc0bb7b9, 0xb9821701, 0xaa14691a, 0x79b277aa, 0x9e9d365b, 0x7dd3f4d6,
+    0xc6e00a91, 0x6bac4779, 0xe2869b7f, 0xa7b79095, 0xef58fa86, 0x451c94fd, 0x3d1853cb, 0x4a3cf705,
+    0x8da052e1, 0xae1e6afb, 0x0a0679b4, 0x0ab19de7, 0xeb7c5713, 0x594e17a0, 0x1e605ed7, 0x9494d11d,
+    0x11abfc26, 0x55cf7db0, 0x3eb70c19, 0x2d745ad6, 0xefd16bc1, 0xf51d414f, 0xa816b88b, 0xeea6415b,
+    0xbd57bf91, 0x71476931, 0xa7c7fffa, 0xa29b246f, 0x0cecf9f8, 0xc09135fa, 0x6270a9d6, 0x8723756d,
+    0xebb9b3fa, 0x1690dec7, 0x0dcb5519, 0x892f2749, 0x3dfff517, 0x93ec8571, 0x954aa387, 0x8bf8b144,
+    0x90333731, 0x6453804f, 0x58ee5931, 0xdcd0980d, 0x36f7abef, 0x79bd0eb1, 0x18220593, 0x71112999,
+    0xe8ca726d, 0xb35899f0, 0xb84041da, 0x9afb21ef, 0x7a046493, 0x78e518ef, 0xd042c8e0, 0xbc147026,
+    0xba1f0ed3, 0x1e391754, 0x4fe5485b, 0xd261b3b6, 0x0f3982a6, 0xf1ac78c3, 0x1ea84bf3, 0x14ff3a50,
+    0x1ad28b27, 0xfd2bd3c2, 0xd9849713, 0xb7a088a9, 0x9715d137, 0xb9207186, 0xf44c417f, 0x647f49b0,
+    0x3860fd04, 0xd3977a9c, 0xb9295a3d, 0xeb564b7c, 0x983501b2, 0x43c2b782, 0xcc7a4463, 0xbd80bab9,
+    0x67df82d4, 0x4dc1c800, 0xae8eb7a8, 0x7cd96452, 0x24d66d81, 0x1c04bd89, 0x5c1c318f, 0xcfe5636d,
+    0xd113aeb3, 0xcf8f075f, 0x01f6a810, 0x303a1e3a, 0xc06a18f3, 0x62487daa, 0xc32384c5, 0x8c6bdf34,
+    0xd705b326, 0xea3b6594, 0xbbe1efdb, 0x728ad840, 0x8b315b7a, 0x1381d29e, 0x40a67e16, 0xf882a314,
+    0x80b2ecf3, 0xbe862ca3, 0xb8db67b4, 0xf1bbdf07, 0xa216c4e3, 0x98fb51f2, 0xef3fb27a, 0xff566d10,
+    0x3fd24c71, 0xed3bf75a, 0xe6aca219, 0x1a9b8f8f, 0x8571aab2, 0x08dfe14d, 0x77c0ea08, 0x4a0e8567,
+    0x9a3d7481, 0x2d14f040, 0xd4b22b95, 0xbfd9c2eb, 0x67576970, 0xb008f44b, 0xe23b13ae, 0x777bc6df,
+    0x1db555ec, 0xe2dc9a1b, 0xa8e4ac63, 0x03bd6018, 0x8c8ef346, 0x0fd8a3b1, 0x786145c3, 0x82818e73,
+    0x069ee1ef, 0x7aab6e10, 0x17f50187, 0xc6f4c81b, 0x8247e639, 0x56df373c, 0x89848feb, 0xe24ff4ef,
+    0x3e68f2d9, 0x2020e950, 0x2e4bcc4b, 0x738c6f34, 0xc125de9e, 0x2a08ece5, 0x59eafc56, 0x56aec47b,
+    0xc05594cd, 0x62103448, 0x4dded7eb, 0xe3d03488, 0x41bd0c50, 0xcc252cba, 0x5caade60, 0xa3b060e9,
+    0x6d9ce0a2, 0x702982ec, 0x5ba92cf1, 0x74f7aabf, 0x59d4e031, 0xc064317e, 0x0f021106, 0xbf660658,
+    0x2df8a278, 0x5fbd04f5, 0x1d1ca8ab, 0x5ccd0f97, 0xd5660bfb, 0x0523ba8c, 0xaef00844, 0x9f87005a,
+    0x9646cbaf, 0xc84cb55a, 0x0d868ef8, 0x2ee80434, 0xdcfa6482, 0x29aa17d1, 0x010c5696, 0x2d6588e5,
+    0x868bb59d, 0x6ce69886, 0xe6b61d66, 0xd557cf63, 0x1e84bdd3, 0x3986292a, 0xd9211788, 0x944bebc3,
+    0xedd00e03, 0x0b87012f, 0x7414ec7c, 0xdc3d5f09, 0x80bc96ee, 0x1fc5b2b4, 0x1f96bf1d, 0xb3e72970,
+    0x67d95068, 0xa0ba4ce9, 0xc4ed45a6, 0xaea9f820, 0xfa0b2f34, 0x20d20f55, 0x4cd353e8, 0x90708f82,
+    0xf7fb1a9e, 0x4e91cb08, 0x78d213dc, 0x3884aacb, 0xa5dce8b4, 0x5b86aa7e, 0xfb0e73cb, 0x308346bf,
+    0xdf9eb368, 0xfa02171b, 0x7845cb40, 0xe5806df7, 0xbb440191, 0x59f9c048, 0xaa301f7b, 0x5a4d3950,
+    0xe5446cbc, 0xfcb948d8, 0x70da87a7, 0x1e17de57, 0xe46f38ef, 0x0f9243a3, 0x4bc1f6b8, 0xb3191fe4,
+    0xad7339aa, 0xdfcc9615, 0x51f9941b, 0x78dc59bd, 0xed8849f2, 0xbd0429cc, 0x0e65ff4c, 0xbd5d2685,
+    0xb0330b4d, 0xd9a56cee, 0x088344d4, 0x81d61883, 0xa84a5c2b, 0x85a45d26, 0x00a3f956, 0x73f7176e,
+    0x49b2578b, 0x1971c054, 0x617ea05e, 0x50f5509b, 0xacf06a7d, 0xbee6fd71, 0xca9c4254, 0x753d8c8c,
+    0x2adde1e6, 0x90b6b4a9, 0xc29882ef, 0xa3b0d216, 0x5a13972f, 0x0653da42, 0xa7cdb77c, 0xda460241,
+    0xccdaea3f, 0x2740f4c8, 0xf0b24f2f, 0xb4d56b4c, 0x591cf417, 0x3e750d1e, 0xfc89852b, 0x5c51f3d7,
+    0x8ea4633b, 0x3ce9c6cf, 0x5fa09d09, 0x1b10fb55, 0x418a4e59, 0x88b460d9, 0x0f8b1d7c, 0xe32e15b5,
+    0xfe5b0c89, 0xf8f330ca, 0xe8c55c94, 0x705d7ed3, 0xc9a2d2ac, 0x31b0a1ff, 0xba3d4ac7, 0xed19bd4e,
+    0x9640d8f7, 0x49eb1538, 0x01dcab37, 0x2cf3a492, 0x7167ceca, 0xa12d5f09, 0xa8d4df4a, 0x268666f1,
+    0x1d19c921, 0xe3f95e57, 0xc42280b8, 0xb9062df9, 0x6c2eaa18, 0xe5b356f5, 0xecadfffe, 0xe14cfc71,
+    0x0cf9fb11, 0x27f1dd82, 0xc815e243, 0x8e6b2c8a, 0xa07ab472, 0xa476601a, 0xc451782b, 0x0938a3d5,
+    0xe75971e7, 0x9aea0ba4, 0xa085736c, 0x01540ed2, 0x95b14692, 0x118febde, 0x3560dbc0, 0x89860d74,
+    0xe071ad98, 0xcb45b67d, 0x34af306b, 0xd0a8c51b, 0x820ca6cb, 0xd471a1ba, 0xd31c7cde, 0xcdae2b24,
+    0x39a51904, 0xfebb2c5c, 0xf261ca4f, 0xc30975dc, 0x722e52d0, 0x83444a63, 0x593083f5, 0x71589e61,
+    0x8221885c, 0x5f77739d, 0x31c98c2f, 0xf0f5f360, 0xb86b70e8, 0x0f0daabe, 0x4927e98e, 0x5a02d06d,
+    0x4e8a32c1, 0xe40fcc51, 0x8449d9b6, 0xe962704b, 0x9d64661d, 0x5521bef3, 0x0576d0bf, 0xe792bc15,
+    0x97f61326, 0x872de729, 0xadf53bc6, 0xf68d9621, 0xeb2abdca, 0x8c8bcd2c, 0xb6f76263, 0x6546e876,
+    0xb9ee0c23, 0xae1441b8, 0x620b262b, 0xdcc1e28d, 0xc7bcef88, 0xe8087d98, 0x5e21c488, 0xaf2f2e8c,
+    0xef86a514, 0x299e0254, 0x0cf5098d, 0x346ea80d, 0x825144ef, 0x539f4019, 0x3ed3723c, 0x79ecb9f5,
+    0xfee2bc05, 0xdf1836de, 0x57cedfaa, 0x92e21c7d, 0xfc58be3d, 0x866944e3, 0xe7eab299, 0x8d0b03ce,
+    0x4ebee3e1, 0x7188c4a9, 0xfb3216be, 0xebc2cfc2, 0xea36bdbd, 0x77812d53, 0xaecc98fc, 0xb3ed0d53,
+    0x39e6f267, 0x381c681a, 0x7447cfb9, 0x156452c1, 0xba9a5e4b, 0x0a96b439, 0xa08a9509, 0x48af32b2,
+    0x2efca135, 0x13068879, 0x34c6d3dd, 0x584d8d5e, 0x62d977bc, 0x94fd33d2, 0x26a8a6bf, 0xb5b7bb60,
+    0x276a6219, 0x86269f7d, 0x1b344b21, 0x0eadac2f, 0x22f6ff95, 0x785bd55d, 0xc167de52, 0x887c8463,
+    0x3e2935cc, 0x5e2932f6, 0x0fd93e13, 0x7c920d06, 0xd2372d18, 0x34c75c7a, 0x8f1afadb, 0x3f8cdcf0,
+    0xe43f9fc5, 0x3dc56d85, 0xc1fbe329, 0x7eff46c8, 0xa5768da4, 0x2825013d, 0xd37c6a49, 0x52a7f8be,
+    0x86330909, 0x04f50852, 0x810c1b63, 0x233b6b39, 0xb549a274, 0x721a5881, 0xbb2731c7, 0xd1856593,
+    0x9d761b3e, 0x903b55a1, 0x3ca35d72, 0x573850ee, 0x42f76bc4, 0x592e3f3c, 0xc947e1f6, 0x6cf5fc5c,
+    0x909f9137, 0xfe689d92, 0xdd2241c3, 0x38a3d0a4, 0xcfecad7e, 0x9f4924dc, 0xe774bcad, 0x13d6d793,
+    0xf4c75144, 0xefea80ea, 0x9f14b5c3, 0x0f58c135, 0x7f3a03d7, 0xa0c528e3, 0xf83805ac, 0xc093c446,
+    0x3951f3ce, 0xd2f61f46, 0x30c09234, 0x9c66180f, 0xdfe31c3d, 0x3da95534, 0xecfde1f0, 0xbe76b210,
+    0xf39ab794, 0x61563880, 0xc4287843, 0x97198369, 0x80d0cc0c, 0xc761b7ca, 0x3db2c25c, 0x73a3d172,
+    0x56809ddd, 0xc2e02cdf, 0x233af5b5, 0xeb341570, 0x54c629e6, 0x7221d1f1, 0x3355ecd7, 0x5620c57d,
+    0x91f56fc8, 0xe395c799, 0xb02c5d84, 0x341b264a, 0x0024f373, 0xe54bd087, 0x1d3a82e0, 0x560528d9,
+    0xbdd359e2, 0xf4340cdd, 0x0792879f, 0x2cd35ba5, 0x50406d33, 0xf9f7cb4e, 0x679f6d5f, 0xf1be6150,
+    0x1f211ade, 0xa8be6c92, 0xcddcbe38, 0x47da29a2, 0xad4534b2, 0xbd459b1c, 0xe6171d84, 0xaf33a884,
+    0xaba9636b, 0x252dd9e6, 0xa377579e, 0xd1ee18e7, 0xc525b5ed, 0xacd82edb, 0xe4d17b04, 0xf381b569,
+    0xfcc95af7, 0x120f246d, 0xb2bc71a3, 0x2681336a, 0xf014e7e0, 0xad52c532, 0x2cb62270, 0x52e16a9e,
+    0xedb8e00d, 0x1dd92310, 0x5af3aa7f, 0xef32a25a, 0x27aba711, 0x4fcfa9cc, 0xacb22474, 0x9e27b6c9,
+    0xcfc57c15, 0x0d8a7138, 0x8131a488, 0x40dc4010, 0xbfccad89, 0xafd7eeac, 0x0d91ff3f, 0xa5a9230e,
+    0x80005fe8, 0xd933dc74, 0xe85c92cb, 0xed262d9b, 0x5f3d4c92, 0xde73fe7a, 0x9ed1d7dd, 0x25b831a3,
+    0x4cb13267, 0x7b4a9b88, 0xec85ad7e, 0x005382df, 0x5346744a, 0xc49e0b93, 0x674f53b9, 0x83ca9688,
+    0x14898fa3, 0xef580481, 0x98b56c1a, 0x8acf8d7b, 0xc434df60, 0x0fa9c17e, 0x25bd939d, 0xdc9f034e,
+    0x00da8baf, 0x9b4fcd92, 0x7eddf857, 0x492e354e, 0x7574ce29, 0x9abf3d1b, 0xbb9d2477, 0xe82833e3,
+    0xc1a541e0, 0x4045489c, 0xd5b3692f, 0x2ed42e2c, 0xe2d77df7, 0xd8199cbf, 0x257abb8e, 0xdf2a309e,
+    0x3e4c9fa5, 0xdacb9321, 0x6070b9d0, 0xeac1698a, 0xe490e40d, 0x7d3e2c37, 0x719d7c89, 0xe2861369,
+    0xfd4a6358, 0xd127c6ce, 0x36b6a24d, 0xcdbf2d28, 0xcd41654b, 0xcd28aa92, 0x6d433d0d, 0x9ef3f07e,
+    0x194491a8, 0x5c0e3861, 0x6cc07fca, 0x776cb854, 0x7fe761b7, 0x8bed32df, 0x3bed8eaa, 0x603ce58b,
+    0xc4becc84, 0xfefe1e89, 0xff59bdae, 0xbc1a544f, 0x14fa5cc8, 0xd1823539, 0xf2358e04, 0x1ca0cabd,
+    0x25257da7, 0xfa1482d8, 0xa827a819, 0xef7e7894, 0x572e4646, 0x6dd13553, 0x6a960d0d, 0x5907ef51,
+    0xeaf9b4ac, 0xaf0e5b29, 0x4480c23e, 0x931c840e, 0xc9668cae, 0x2c52adef, 0x5750a83e, 0x66394462,
+    0xa7407cc7, 0x2c7599b3, 0xd12bb0bc, 0xbebe678f, 0xb8225408, 0xd39e4648, 0xeb9ca5e3, 0x55e0dd74,
+    0xe84abcd3, 0x29c7ad92, 0x3ec88b1c, 0xc78a69a2, 0xe9595b29, 0x635807a5, 0xbe65a15d, 0x921899b3,
+    0x59d82614, 0xead0e141, 0x68ff9e02, 0x98ed3cf8, 0xdc3617e3, 0xd79ab3af, 0xd9fad5f9, 0x3967522d,
+    0xa568c1ee, 0x163a3ed3, 0x0e53536c, 0xfc32cd4b, 0x2b67e711, 0x584c8454, 0x2e953267, 0xf9167d3d,
+    0xc68cdeb1, 0x0d2401d3, 0xa0f426a2, 0x3b2f27f9, 0x89cb9c72, 0x2ae80032, 0x28aba5ff, 0xaab4da36,
+    0x6f5613f2, 0x806213e4, 0x345e96a6, 0x29fa0c61, 0x68c654e6, 0x59191db7, 0xa0c1a20b, 0xe770bced,
+    0x51fb1bed, 0x272311a5, 0x2a380758, 0xc7cf1f07, 0x484d0035, 0x6db4c6f2, 0xf2f4f659, 0xcb82121a,
+    0x3f012233, 0x81a5dbf1, 0x62745890, 0xf35352a5, 0x1be2c033, 0x9bf0f168, 0xb41086ce, 0xc61c66e0,
+    0x28a915fd, 0x368370f8, 0x2d06b43b, 0xcd4d7c9c, 0x5ae11cf1, 0x07112ada, 0x5b25c48a, 0x681539f5,
+    0x40fe685a, 0xc5f9ff5d, 0x3347d781, 0x90b37b60, 0x95a89c07, 0x83bcfaa1, 0x0f3ba6f1, 0xdc38be31,
+    0x3932a36c, 0x4b737178, 0xc46f099e, 0x053f3c2f, 0xd58ffa13, 0x5e52897a, 0xdaf0173a, 0x3dbe2b57,
+    0xa61d4aac, 0xfa57bc50, 0x30a4a8fe, 0x1f002909, 0x15f7bdab, 0x56373ae3, 0x71185564, 0x8fc39eed,
+    0xc458cb31, 0x43e0ccd5, 0x68129630, 0xc010f213, 0x0e3d5ff5, 0xb5b52380, 0x69c445d1, 0xd1d84f55,
+    0xed3556bb, 0xab315060, 0xd6e3f15e, 0x266fdb9d, 0x79659e0c, 0x63686614, 0x4b2075bb, 0x953b375a,
+    0xa65fd46d, 0x4135435f, 0xecfa0faa, 0x8faab286, 0x00d6faae, 0x6faecf30, 0xbde5b35d, 0xd5b97070,
+    0x8689d23a, 0x2fa64dac, 0x34159d37, 0xaf1b520b, 0x054fe9fd, 0x069703b3, 0x00e2a2f4, 0x15a043b1,
+    0x577a5364, 0xf8ecf2cf, 0x3d0b41f1, 0x99f1d8c9, 0xf4f2cf28, 0xa72b6829, 0xac71c0d2, 0x1294097e,
+    0x8a3d542d, 0x23d2acdf, 0xa3004dd0, 0xa8d8bf57, 0x9fda17e7, 0xe285466f, 0x16fd23ed, 0x7fb5bd56,
+    0x02aaac4e, 0x7e49ca3b, 0xe7c3b2db, 0xebb7d0ac, 0x4fc28bd5, 0x9eb95fcc, 0x2c473766, 0x89d25799,
+    0x660d7486, 0xe887872f, 0x74aad8b4, 0xde4bd3dd, 0x7714496c, 0xaf4ea8a2, 0x34590db9, 0x200c8e91,
+    0x575c16af, 0x628ae719, 0x843fc280, 0x833e89e0, 0xe24157b6, 0xe6f28738, 0x0719f583, 0xa886462d,
+    0xc19f9b71, 0xbf0b8174, 0xa467447f, 0x42586872, 0x4a9d795d, 0xd28cde19, 0xb34bb70c, 0xf9dec1a4,
+    0x703230a1, 0xcdbd042e, 0x543da921, 0x5c289bc6, 0x54296090, 0x328cfee9, 0xb0a4ac1f, 0x74b20098,
+    0x4651c22f, 0x34375384, 0xbbf948f1, 0xb88d7ee4, 0xe93b1a71, 0xaee2cc63, 0x99619069, 0x9800f120,
+    0x00000000,
+    0x16741993, 0xb2020b9e, 0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e,
+    0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000075885\
+                         50360256754183279148073529370729071901715047420004889892225542594864082845696 */
+  { 0x00000000,
+    0xaa892fd4, 0x6dbc4d72, 0x4f4a292a, 0xa7a3c910, 0x18b40556, 0x32847008, 0x98b4bca8, 0x4dbd7574,
+    0x4e5291fd, 0xc91e2524, 0x47faee51, 0x18576172, 0xa2716d07, 0x8c5da2ba, 0x297e296c, 0x3256cef2,
+    0xc2cbdf05, 0xe8ac990e, 0x2ce028a6, 0xaf82a65b, 0x2493e11f, 0x348289d9, 0x139ba682, 0x7c3fdfab,
+    0x25dac073, 0xb2f35c3c, 0x8347e21f, 0xd4af34c5, 0xc34046bb, 0xaa9efd89, 0x1dd42105, 0x57fe8f8b,
+    0x5b170ad7, 0xb615f9dc, 0x695fbd0e, 0x3e9e25d7, 0xc9bf9e8f, 0xc33da6cb, 0x5a6118d0, 0xed60924a,
+    0x29574116, 0x1e1dabff, 0x63861282, 0x59faa026, 0x43d61600, 0x32ac89ef, 0x8e958557, 0x8022e302,
+    0x31765dbb, 0xfd3e5ae8, 0x0f4d6655, 0x1913fcfe, 0x514d718f, 0x9d9db22d, 0x83a62da0, 0x1e210f89,
+    0x385805cf, 0x830a0d88, 0x2bcfa61d, 0xad5efa2d, 0x4b25016d, 0xa801a87f, 0x4fab3275, 0xa0eb3584,
+    0x5047bd96, 0xfa2a7fe2, 0xcdeca873, 0xff5c591d, 0x0e59d1de, 0x355cd0ea, 0x5760fce2, 0xf084f140,
+    0x3b8c2299, 0x0abda70d, 0x716a5f97, 0xd900ac8f, 0xafb20b94, 0x66e642cf, 0xe2a7965f, 0x336d4da0,
+    0x36ddb956, 0xdd263b0f, 0x0abe08dc, 0x86400197, 0x33fd0b5e, 0x28e302dd, 0x8d9ea835, 0x513e41f6,
+    0x43993b50, 0x6a6d5556, 0x3d098ce8, 0xca016c8f, 0x23de0a5f, 0xad13951a, 0x2d448924, 0x353babb4,
+    0x450a626d, 0x94ee350d, 0x4a128ce0, 0x1718678d, 0xaee865a4, 0xa866728d, 0xa3b3e960, 0x1289d57c,
+    0xcd6eeb10, 0x09aec83c, 0x1b59421e, 0x20127a7d, 0x5290b851, 0x43d4db36, 0x746c5c54, 0xbbfebed5,
+    0x01d4145e, 0xa2bc7e61, 0x9c8fc809, 0x4083f25f, 0x9bde190d, 0x5d0b046d, 0x3694889d, 0x400211e7,
+    0xdcdc51d7, 0x3bea8411, 0xaa08fd7a, 0xadb4d961, 0xc1f4272b, 0x73d07b7a, 0xead16751, 0xbec79ee2,
+    0x76ffbb08, 0x61da2367, 0xb1fc5861, 0xebf9f0f4, 0x57be7435, 0x2b6759b6, 0x252f152f, 0xc0cc235b,
+    0x91dc9cde, 0xd8727bc5, 0xdb40b819, 0xffe9b768, 0xb442fe58, 0xedf4346e, 0x2a5eb7f8, 0xbf307fce,
+    0xd9f23d57, 0x21c30fb3, 0xb58d1f8d, 0x99dfcbae, 0xa16c400a, 0x349b6794, 0x5f133893, 0x44e32dde,
+    0xb74dd198, 0x3d37fae6, 0x1e3341a9, 0x97d385fc, 0xa0104cf3, 0x8266c5b5, 0x600ca5af, 0xa4829f0a,
+    0x36604265, 0xcd2921b7, 0x0bd4aeb5, 0x8cbd4057, 0x78aa3903, 0xe36d6dbd, 0x73422ae6, 0x0686ea00,
+    0x12b22846, 0x1a38dd3a, 0x8e5a7213, 0x9372487c, 0xadd55090, 0xde20a920, 0x38f67997, 0x48840451,
+    0x2f74f8b9, 0x5db7b63e, 0x0f7cf7ae, 0x830d8c9b, 0x0b01d881, 0xef2669df, 0xa3f5718b, 0xdfdebbd0,
+    0x1b648b43, 0xdaade424, 0xb0020c12, 0xe3c4284b, 0x0cd5f51c, 0xb9cae175, 0xcf0dd959, 0xdc8c4907,
+    0x34393a47, 0xe8b68690, 0x57e28aff, 0x2dca66d0, 0x4664ff77, 0xf03724ed, 0xe2f54a50, 0xe69ae97f,
+    0xb1bf5c35, 0xc3d34399, 0x2f2110c6, 0xd6cc7330, 0x5169b09d, 0x25f606b2, 0x3f721de7, 0xd8dfc9d5,
+    0x2960b112, 0xa8894e77, 0x1cd67af8, 0xd67b4bf4, 0x7c0886ca, 0xf7225fa4, 0x806466b0, 0x69ba4b75,
+    0x2366a849, 0xc5d65343, 0xecbfa3fa, 0x1d2039d8, 0x38bb7db5, 0x401f4c49, 0xad46a5e1, 0xd227d98f,
+    0x53fa50ca, 0x50ee39ce, 0xce09e381, 0x3210df42, 0x0861ebfb, 0x2e95850c, 0xa0d620f8, 0x46c8cb2e,
+    0x437e7e72, 0x71af27de, 0x39c33e40, 0xeadf55db, 0x1c3369e4, 0x1daa3250, 0x84cce43e, 0x21b1c294,
+    0x1d939748, 0xed2d8b34, 0x69a822eb, 0xe2c41312, 0xaac8b0be, 0x98a7b4dc, 0x68253f26, 0x15fea7ef,
+    0xff5faad1, 0xe2cd7256, 0x2b50c024, 0xe91a14e1, 0x628f3f6c, 0xdf5a63e8, 0x478b072f, 0xbe6a8ea1,
+    0xdcaeb645, 0x2fdcb547, 0x3d8c4635, 0xaee24e72, 0xabcfb9cb, 0x4b51181c, 0x4c66cd1a, 0x8d0aad72,
+    0xfc26f82b, 0x0869a8ae, 0x620fb6ce, 0x9a0c847f, 0x0eda5d98, 0x6ea5fe2a, 0xc061ea1e, 0xbb82d3aa,
+    0x9ab0e120, 0x7b95d3f6, 0x17f6bdca, 0x62767a99, 0xcd77db4b, 0x4832d2cd, 0x674a242a, 0x8afd5c9e,
+    0xfaa4791c, 0xe6a80e8a, 0x88d30646, 0x300af80e, 0xfeb4fed4, 0x4b2356b1, 0xa515dd17, 0x57e345eb,
+    0xcc2b1701, 0x1ff05359, 0xc14b5104, 0x968a3240, 0xdb454bb0, 0xc1925774, 0xfb773009, 0xacb96ff0,
+    0xb91c82f5, 0x31403022, 0xcf2b6273, 0x1da962fd, 0x3fc65937, 0x756bef49, 0xeb5265aa, 0x7a747788,
+    0x602ee52f, 0x6276bf2f, 0x4d74ec84, 0x386385de, 0x6eb2a721, 0xf2e8083d, 0x5d58442b, 0x0f486f06,
+    0x5e0be8bf, 0x730debe5, 0x38ada6d3, 0x9fec1624, 0xf20f3654, 0xabad29a5, 0x9b64712a, 0xc5a3f022,
+    0x74973ec0, 0xd4342d39, 0x96dbca0f, 0xc20130ee, 0x6426ddef, 0x75cd8797, 0x1bcd6a9f, 0x2ee37ec4,
+    0xa501faff, 0x2c0a279b, 0xfd4f792a, 0x1861c6b0, 0x0712f76b, 0x3169af0f, 0x4398ccae, 0xf29237ec,
+    0x8a471c87, 0x02eec9a2, 0xd0c7a816, 0x2751fda8, 0x89e4227c, 0xaa8aed1e, 0x17e6120f, 0x4af3c0db,
+    0x968e26c3, 0x451df9ef, 0x8b0e4bba, 0x622eaa9a, 0xf66cc2ee, 0xcb7f40ce, 0xa2f2a474, 0x62b7e919,
+    0x1cb22614, 0xedcf9b22, 0xc00c992c, 0x589638c3, 0x541843a3, 0xa75a1182, 0x8ef17f5d, 0xa96faf22,
+    0x68fef129, 0xe63e7bb4, 0xaa6f4019, 0xf2b3b853, 0x9284b899, 0x92a8c5b3, 0xe41766e8, 0x4d30cdd4,
+    0x724b1162, 0x20701d60, 0x8202fe6b, 0x9be7ab66, 0x891abd81, 0x5df96f9f, 0x670fb252, 0xbf91428e,
+    0xe4b85f07, 0x632a07b7, 0x5b27e271, 0x3c6fc3e6, 0x5dd56fa2, 0xb6a01ef2, 0x6cd19da8, 0x22a10b76,
+    0xb3bb09fd, 0x164c66ca, 0x85275ffc, 0x11014a6f, 0x842ec0e6, 0x53cc8bbb, 0x3690bcbc, 0x213f7a57,
+    0x0cd05915, 0x6d748f1c, 0xad4de85a, 0x0c8a5dc4, 0x461d8dee, 0xcffb3b34, 0x8cda43fd, 0x5409b33d,
+    0xa0527a3e, 0x694aa468, 0x396f26e6, 0x007caf2e, 0x9ebc39f3, 0x3781cb8a, 0x683449ae, 0x009e7ffc,
+    0x1b7ee5bd, 0xd781cf30, 0xc5e98194, 0x47041ea0, 0xb04a80a1, 0xbc3485d2, 0x6665e920, 0x65b50066,
+    0x48700b27, 0xf2789246, 0x6c244355, 0xb4a4d3b1, 0x41fbbc5d, 0xed5ec2ba, 0x005f1a44, 0xe1e904d3,
+    0x686522f4, 0x08b71dbc, 0x48b6a708, 0x9fc06717, 0xdaae1d66, 0xafd9ad25, 0xd206949f, 0x3e83ded0,
+    0x39db09c4, 0x177bcbfc, 0xa6b01904, 0x52a94a88, 0x350e49bd, 0xaa62d690, 0xd0f13294, 0x053f21c9,
+    0x311f8c78, 0xd1073315, 0x66ab5db7, 0xa9f77bc7, 0x62394913, 0x81f5e170, 0x9d53125f, 0x95acb142,
+    0xf7d7b9d8, 0x5730570c, 0xecac5705, 0xbcd2459e, 0xeec30eae, 0x0eac3dab, 0x2383e48d, 0x41cb7527,
+    0xfc1f060a, 0xcf3b358a, 0xbb9630cb, 0xd1c3635c, 0xd684df73, 0x216cbe12, 0x8920ddfe, 0xcf9386ff,
+    0xfd2c985e, 0x9154cf5b, 0x320fae79, 0xe91e1abf, 0x4908af97, 0xe800b005, 0x03fe6a10, 0x9069a67f,
+    0xc6b68c37, 0x20e52f75, 0xba2c98df, 0x098c101e, 0xdec1dcd0, 0xb9b09993, 0x709b4c8b, 0xee3a875f,
+    0x02e48dc8, 0xa1c5e064, 0x2f3f97c8, 0x46d91134, 0x2757a1eb, 0xb950e19a, 0x0e2e75b0, 0x8d451543,
+    0x870ecf87, 0xfbcb718b, 0xa88791c3, 0xe86a4925, 0x9ad012ce, 0x44859483, 0xb8eb4bcc, 0xd04ca4c6,
+    0x9924b0be, 0x7fb748f4, 0xc3702d4e, 0x1befb35d, 0x3aa362d3, 0x9308ecaa, 0x3ac3c6dd, 0x947b07d1,
+    0x1b7950d8, 0x6e86dfe3, 0x5434d11c, 0x8decd8a0, 0x50452d9d, 0xafd383db, 0x896fbe71, 0x2cdd74e3,
+    0x4977ade2, 0x5316bf31, 0x9ec660b9, 0x94d5bad9, 0xc68ba8bc, 0x9b10a45f, 0xf9faaf99, 0xf175060f,
+    0x69354077, 0x3f170374, 0x14ea3daf, 0x1ed203e0, 0x83e9bb86, 0x8b4b4cde, 0x8e70ca95, 0xb2c2e937,
+    0x02e98e45, 0x5c536348, 0x6f6a2366, 0x0fad7df4, 0x970462b7, 0x2d974c74, 0xa58bae01, 0x53bc5e98,
+    0x5a12e2ac, 0x3e4500f0, 0x77a8c2f4, 0x29f6fd0c, 0x4158d6ba, 0x51228099, 0x665bf0ee, 0xd2991bfc,
+    0x8b0e2191, 0xd23a1dab, 0x67c59188, 0x188439fe, 0x8f199f5b, 0xda63f834, 0x1888177d, 0x52cc43c9,
+    0x490c1d31, 0xed7c4772, 0x5ff55088, 0x7064fb03, 0xaf212292, 0xda0c3ad5, 0xae9781e9, 0xa2ae130f,
+    0xbd09e65b, 0x38d276b2, 0x6c966dea, 0xf76282c7, 0x3dda5871, 0x170bab98, 0xf44ac079, 0xd109d9c8,
+    0x55b9b455, 0xa6f29cf2, 0x0f7dcd27, 0x3f2820eb, 0x35cf1d82, 0x80d4e8c0, 0xd6bd5a9a, 0x47aea45d,
+    0x2a119159, 0x561b7f8a, 0x881badbd, 0x2fe77650, 0x4f4bbd88, 0xe9a821bd, 0x3dc1c039, 0xeb9af5ea,
+    0xea3d2f24, 0x56f04530, 0xa96f2220, 0xd5a8d828, 0xcebd283e, 0x8f4f4c4a, 0x4235efa7, 0xb0d73a11,
+    0x174f56f0, 0xf6b5b15b, 0x168f9921, 0xfd69e73e, 0xc3ca264b, 0x096439e3, 0xeef00e77, 0xd7331924,
+    0xdb097892, 0x82c0ca80, 0xcbe626c1, 0x09d3ce4d, 0x41578d74, 0xa251361e, 0x0b8bbc5d, 0xde074ac0,
+    0xa34eb71a, 0xaccac30b, 0x9e8077a6, 0x8bd1cfca, 0xd5571ffa, 0x51e5670a, 0xd3825bdc, 0x0eb5ec47,
+    0xf4b2d43f, 0x315f4d26, 0x41af4fac, 0xb038e4d6, 0xd5835463, 0xd8d5af55, 0xaffb932e, 0xfdd02739,
+    0x0bd65213, 0x3d88cf1d, 0x2daae616, 0x4c173029, 0x68b03f20, 0xe6ea7e6e, 0xf8cbc12c, 0xd21fa740,
+    0x438ffe30, 0x5b15529a, 0x205fa709, 0x87012260, 0xd77a37a7, 0x37c721ef, 0xcc7a819e, 0xd0af1866,
+    0x14cdc9c3, 0xb66481c8, 0xa32dd069, 0x342c7fd6, 0x16a4dad6, 0x1f8bf1f1, 0x9ef11970, 0x5c1a5854,
+    0xbba5e3fd, 0xc737af36, 0x09dd9e12, 0xdc475160, 0xd0b69201, 0xeff61023, 0xdfc358ed, 0xc5b62f52,
+    0x94a6423c, 0x516ee281, 0x6a5b434c, 0xf7fae89c, 0x859478a7, 0xbf89cbfa, 0x5d4fcad3, 0xa75d5a81,
+    0xbcfc9e3c, 0xc799432f, 0x246e182b, 0x93c66cd5, 0x50d912fe, 0xb4a2d8e6, 0x8ed437a2, 0x93f0279d,
+    0x905b20dd, 0xf1c2c829, 0x33b442d0, 0xd4d98373, 0x3cd1a713, 0xcc3bbc1e, 0xa33692ae, 0xb99b2d4d,
+    0xd77ffa67, 0x163b4e8c, 0xa6d87b0f, 0xb3b33e07, 0xdcb6671f, 0xc3b656f7, 0x89c0cd17, 0xf34ca579,
+    0x353b2a0f, 0x868f8394, 0x2a4a38ef, 0x3426d95a, 0xbefac029, 0x98947a3f, 0xfbbaa73f, 0xa4b88b9d,
+    0xb2cc1ec5, 0xe33526a6, 0x7553a0cc, 0xa61163fb, 0xc1246da9, 0xe00553c2, 0xe5d0fce7, 0x6b864a36,
+    0x08f12e37, 0x4fce75a6, 0xb508ec13, 0x2fb0d39f, 0xc8de29af, 0x9dcfe1e5, 0xce7378f4, 0x56ef3616,
+    0xbb4a3710, 0xd2efb96f, 0xc6230498, 0x74c26fd9, 0x652f3f06, 0x74d8f902, 0x91fb3799, 0xdab629ea,
+    0x0414faac, 0x8e372448, 0xbb2575d3, 0x94ab8381, 0x02f9bc71, 0x2ead9d08, 0x2aac88c5, 0x4f1cd039,
+    0x15e6ef3e, 0xc67216bb, 0x2d7768a5, 0xe4e5ded3, 0x4c935718, 0x1f8d3f21, 0x31de6f23, 0x82673fcf,
+    0xf07548ab, 0x9e0ace39, 0xb4ca059a, 0x8585adda, 0x53e2010d, 0xa83ada2b, 0x2f791c19, 0x1c2573a4,
+    0x0800e5d9, 0x223d5de7, 0x5f00ea9b, 0x792fe806, 0xae494b4c, 0x3067d94b, 0xad21b59c, 0x9ce06081,
+    0x9f952968, 0xc92efdfe, 0x36de5ece, 0x496cf367, 0x2d87b702, 0xf662a37c, 0xd90d9403, 0xe38d4da4,
+    0x547d90d7, 0x5fb8a24e, 0x9ceccc19, 0xb672e895, 0x60b04cae, 0x9fe3271a, 0x106493c0, 0x79dd0056,
+    0x18de91e3, 0x153f52fc, 0xb02d2109, 0x72a9bea2, 0x2de8887b, 0x79314cd8, 0x8082eef8, 0xf56912df,
+    0x733cc17b, 0x6899e269, 0x87210e74, 0x7eeeff0e, 0x305d95be, 0x704b6861, 0x9bf64f4e, 0xf9c9befb,
+    0xee290a28, 0x4b671fb7, 0xf23e2880, 0x2f4bb090, 0x5999811c, 0x1fff4bdb, 0x0cea413c, 0x9b85ea59,
+    0x75cc8fcc, 0xd6ac7906, 0x62835296, 0x8aed590e, 0x2b937838, 0xa44f43e0, 0xbbfb80bc, 0x8f96463f,
+    0x05865065, 0x484bea74, 0xfc028db3, 0x690739a7, 0x33427ab1, 0x31003cb9, 0x20911c2a, 0x5dc53733,
+    0xc3e017cf, 0xfb46f25e, 0x207fac40, 0x55e63218, 0xbc6b3791, 0xa0a32b2e, 0xcb2c03d1, 0x4dcc8aaf,
+    0x5ad61969, 0x8ee05e88, 0x5116a0ff, 0x517de4f3, 0xaa81bf76, 0x517d3b3a, 0x02d58eaa, 0x56b9b290,
+    0xc6c62e51, 0x6e2f4096, 0x78490236, 0x54ee0645, 0x07eca6b3, 0xf5e57bf6, 0xa487ceb6, 0x8bb51c2d,
+    0x531cbd16, 0x8e03b172, 0x17c8d00b, 0x058336be, 0x241c3c0f, 0xeb925411, 0x4559cc57, 0xeb2229ce,
+    0xf86e4e85, 0xd39f9cae, 0x3ef56dc0, 0x06a92ea2, 0x5cbb373a, 0xc64e2697, 0x542fa764, 0x9a9b80ed,
+    0xbc506424, 0x955a0aa7, 0xada7ba37, 0xb19ae967, 0x0d4549a9, 0x23d945dd, 0xc94d8ca3, 0x14f3d4ea,
+    0x14ada8e8, 0x02634ae5, 0x9caf50bb, 0x48d4107f, 0xd64d6688, 0x61fc709d, 0x553777d7, 0x1e2ebe8c,
+    0x6b497c50, 0xa141a243, 0x14a64b62, 0xad9242d1, 0x82783924, 0x467875ce, 0x73f09955, 0x9dac6673,
+    0x07ec0a03, 0x7c82aa44, 0xee135ac1, 0x1258221e, 0xd1242d8d, 0x90e10de1, 0xe0218ecd, 0xd6b7b786,
+    0x4abf766c, 0xaa5b7730, 0x6c5715d8, 0xef22c9b4, 0x8a1a3ffd, 0x1df898c4, 0x028fd460, 0xdce9dbf8,
+    0xff9f7b6d, 0x844f00db, 0x2b7a89ea, 0xd668dcc1, 0xd7f848db, 0xa56c3c82, 0xe325b335, 0xf77848ac,
+    0x6aa7e5c2, 0x804360b9, 0x80ffab07, 0x3393c8b6, 0x1ab3f35d, 0x4bed239c, 0x91df2381, 0xc4c9adeb,
+    0x846fba4f, 0xaf21d8b8, 0xd72fbfd2, 0x34de961b, 0xeb7d6bf2, 0x3331653a, 0x5f3c5fbe, 0x9d737041,
+    0xf9d3cf84, 0x8612931f, 0x08a5e983, 0x0bc97595, 0x0d8d446d, 0xddf863c6, 0x0061b885, 0x4491a5a3,
+    0xe16cd19d, 0x63432089, 0x6da8157e, 0x8920c50c, 0x8576f215, 0x70262556, 0x8190a18c, 0x9aec67b0,
+    0x2368911a, 0xf8994b47, 0x94df1211, 0x225445d5, 0x743a9358, 0x0905bd38, 0x17007dcb, 0xa515ef1b,
+    0x4e123ab0, 0x77bef338, 0x6cfe7345, 0x63a62b4c, 0x634e3e07, 0x617796a4, 0x12d11cd3, 0x496e3591,
+    0x4425e1f4, 0x2ebdb73d, 0x7bab8ad1, 0x3eae4606, 0x3858d29a, 0xace4af4e, 0x69f1488c, 0xed23a97e,
+    0x68a9d863, 0x77b0049b, 0xf67c0290, 0xdc352945, 0xdac9cbd2, 0xdfb9e662, 0x3f2249cf, 0x77f585f1,
+    0x8d86c67c, 0xff33729f, 0x4540dda8, 0x566347c9, 0x991b47c0, 0x7d7a8960, 0xa1b0263c, 0xf5b831c7,
+    0xc1cdad24, 0xc1e84309, 0x325b5151, 0xb93cede1, 0xc5e468bf, 0x584b1422, 0xe1d00804, 0x9f877399,
+    0x08374dd9, 0xb321ccf6, 0x7f3f06b9, 0xe6a35186, 0xe917ee80, 0xe25fd453, 0x4448f935, 0x448b4373,
+    0xd728f4ff, 0x4aafb7ce, 0x95c13b4c, 0x1872ce16, 0xaae8bd9d, 0xd639a134, 0xcb4c1453, 0xbece213e,
+    0xae7cdc93, 0x743e2d56, 0x16925059, 0x98845524, 0xbfd59a7d, 0x05ad7294, 0xa042f9cd, 0xf52027cf,
+    0x1dccf64d, 0x22923e07, 0xa7273019, 0xcea987c1, 0x0c55df01, 0x8e87920b, 0xfca38c29, 0x8b7c8845,
+    0x00000000,
+    0x0b3a0cc9, 0x590105cf, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37,
+    0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000037942\
+                         75180128377091639574036764685364535950857523710002444946112771297432041422848 */
+  { 0x00000000,
+    0x3d7a5822, 0x4f548e40, 0xf8f5d256, 0xef64b6a2, 0xcfc312d5, 0xa15ac40f, 0xc76d6fa4, 0x403364fc,
+    0x71593ef7, 0x0020e0fc, 0x657f4620, 0x47a40597, 0x7f4edeb4, 0x85a57b62, 0x1a7b29a4, 0xeec6af0a,
+    0x0aa755b7, 0xade7b7fc, 0x105f3851, 0xd873c95d, 0x243c6194, 0x324d01cd, 0x904773a1, 0x1996b1e4,
+    0x329f8de0, 0xde9c7564, 0x207c6e76, 0x729a2a92, 0xbc276725, 0x88e45b48, 0xb265db9d, 0x9c807878,
+    0xd2be2a82, 0x8ffa555c, 0xbaa01992, 0x464e9902, 0x9ab9b960, 0xe442fb09, 0x5daee737, 0x507ac007,
+    0x5f15a592, 0x2f213a13, 0xe84c166c, 0xfa7b36fb, 0xe67d021b, 0xff54c97e, 0x7f4a39e4, 0x3dd63773,
+    0xee896273, 0xf10277e0, 0xf33f1f95, 0x6c56e2f8, 0x69dd1154, 0x3c686dd8, 0x41cf7b10, 0xd3ff1633,
+    0x81a0bd4f, 0x697b7959, 0x6d11ed34, 0xcf60a407, 0x2351afe2, 0x9a7e8214, 0xc8005d3d, 0x7081bb00,
+    0x20bab262, 0xb0aae84c, 0x02ceb01c, 0xc0c798c6, 0xfc825734, 0xdb8f445e, 0x9d4032c1, 0xb1dda000,
+    0xe591894d, 0x5ed4fe36, 0x05d80bf3, 0xeaadc60f, 0x7de750b3, 0x0a43f1cd, 0x5e584a40, 0xb51640fb,
+    0x53705ba6, 0xa82e92e1, 0x0854d31b, 0xbb3edf5e, 0xbba0fcb6, 0xb4642a41, 0x112bffa8, 0x5525d8ca,
+    0x892b2f1f, 0xc3c7e019, 0xdd1b3511, 0x9184e23d, 0x88279ac8, 0x0e5c0170, 0x7fc8c0af, 0x62f47d73,
+    0xfd0ca1d0, 0x746e6831, 0xdb4f910f, 0xfd772231, 0xe24548a7, 0x3fa557e6, 0xf57b3b70, 0xb729e6eb,
+    0xd6085e7c, 0x31a9921e, 0xa1f94450, 0x3414c189, 0x637aa720, 0x1378c8b8, 0x4e2b1394, 0x07d69130,
+    0xc9632df2, 0x53922ec0, 0xc595c588, 0x0a602c40, 0x7862b12d, 0x2aa6874f, 0xfb7e40af, 0x9ae80cee,
+    0xc85031b3, 0x47a369bd, 0xf414ac3f, 0x4edd05c3, 0x68ed334a, 0x11169e15, 0x1692be8d, 0xda6758fd,
+    0x5dde4e07, 0x85fa0dd0, 0xe589b833, 0x04d2f055, 0x8b1a2561, 0x09d5e735, 0x95dc5c12, 0xc2c49119,
+    0xfc83e80e, 0xc29719d6, 0x243a1c72, 0x48b91a98, 0x28b5ca25, 0xd466985c, 0x2935599f, 0x6aa4eb71,
+    0xec19a19d, 0xfe03a3bf, 0xdefbe98c, 0xfdd4bc62, 0x3a2acb79, 0xfb413dfa, 0x3a0481db, 0xd032f6f0,
+    0x2b906c29, 0xf54eb101, 0xab8f88d2, 0xeb9f5ef2, 0x53f7d2fe, 0xc616bf87, 0xc26f70ae, 0xa924e9ba,
+    0x342b5d8e, 0x17989106, 0x63d37cc4, 0xf32fd7cc, 0x2bd47f95, 0x8013d91d, 0xd0e38021, 0xffe082cf,
+    0x67a59961, 0xb2864ebf, 0xbcc27143, 0x6743a7a2, 0x531c4050, 0x701a0186, 0xf015b916, 0xb8be2aae,
+    0x61054f1a, 0x57a2d475, 0x56a9319f, 0xd6505b1e, 0x7e7c7a61, 0xc2f683d3, 0x5c657fcc, 0x04d54e60,
+    0xd0adb6fc, 0x5b41b795, 0xfde883e2, 0x8e1c745a, 0xebe29bb0, 0x2a9d697d, 0x896a6bb4, 0x9fd453f6,
+    0x6535f62a, 0x8652c8be, 0x60703e87, 0x4785bd02, 0x04b6d52d, 0x1c6ac29e, 0xd30bb9bd, 0xc6a76eb6,
+    0x79708b01, 0x3cfbb4b4, 0x386d52d7, 0x099118aa, 0x287e3c5c, 0x837b0e1a, 0x26f0ed59, 0x5a68a344,
+    0x6a17e932, 0x496654f1, 0x7f84410c, 0x29b38c91, 0xd920313c, 0x7590f41e, 0xe1501739, 0x27d2f8b8,
+    0x2bec9b47, 0x9476590a, 0xbc59e7f6, 0x0f4e7ea7, 0x9f7d339e, 0x70296a37, 0xffd4b4ec, 0x3032edca,
+    0x5b2635e8, 0xab82cf51, 0xd8cda0be, 0xb8e10633, 0x7e703cfd, 0xb273a53f, 0xbe6742a1, 0xb79999aa,
+    0x79181d33, 0x5c702dea, 0x5e9fecc1, 0x959541fd, 0x33cd1506, 0xec80f9bb, 0x0921772e, 0xf94f9a3b,
+    0x7b45ad72, 0x3802abaf, 0x3a85a291, 0x84a80785, 0x42bc2987, 0x8413ad89, 0x179c7918, 0x78ea7dc9,
+    0xbc3a899c, 0xc8dec3eb, 0xec7e886c, 0x6f74627f, 0x9e347ab6, 0x84dfd889, 0x64606069, 0xa22118a8,
+    0xd5e0e6da, 0xf701f370, 0x87cd6038, 0x8832ce41, 0x881ed420, 0x23b9bc22, 0x05a4836c, 0xfd7452ab,
+    0xca24836c, 0x7db68024, 0x09acb7c7, 0x06ccf06f, 0xbd9f764a, 0xe274cc37, 0x2443885d, 0x3253ff51,
+    0xc25f7725, 0x909c8f1e, 0x4fec692e, 0x91f05f7a, 0xf756416e, 0x837f43c6, 0x67d547ad, 0x21186603,
+    0xc5ddb4a7, 0x0dcc8213, 0x1690797d, 0xbc05f175, 0xd92eb5ae, 0x77e09ef5, 0x69fc54e1, 0xc5dac353,
+    0x29ce36a8, 0x9f523188, 0x75024361, 0x16d29cd4, 0x7990032f, 0x1a5dc33d, 0x50a403b0, 0x645d0a50,
+    0x1c2ea4f8, 0xedc5852d, 0x7f286464, 0xb8f9bfa1, 0x39889449, 0x01964692, 0xf70710df, 0x9eb22a5b,
+    0xfdd274ea, 0xaa550b11, 0xd5abfaba, 0x5d5070ef, 0xa7042cad, 0xa23ca4b6, 0x68fabef5, 0xa4d26ab5,
+    0xefe0222b, 0xd5c9700a, 0xcc653196, 0x4e623872, 0x9333fd78, 0x8c358b8c, 0x03eda392, 0x8830239c,
+    0x796c0bff, 0x0ada690b, 0xb88b4f13, 0xb03568c4, 0x9c18a6f8, 0xa132d9fb, 0x6bd7cfc5, 0x0f44321c,
+    0x20334cad, 0xc88f7bcd, 0x31fdf9f5, 0x719600c9, 0xaa19dc5e, 0x9efbdfeb, 0x19e1de7b, 0x4f978f64,
+    0x10ae8b26, 0x300ffcd5, 0x7720d5e6, 0xe3140d94, 0x509d3e41, 0xad3e54f9, 0xe5c39aa5, 0xf3ed7b9b,
+    0x39eb4c22, 0x0168c539, 0xc23fc43a, 0xb42e0ae3, 0xb77f58e0, 0x71ea3ed4, 0x99e179a3, 0x0acd7d03,
+    0xa089d76b, 0x0d25965b, 0x8c293e48, 0x5394058a, 0x0d5ba4df, 0xbebb99c5, 0xa8349c46, 0xedc6a3f7,
+    0xc33ee679, 0x70e17f4b, 0xf1e084ed, 0xc0982f70, 0xa77cff3e, 0x1a2ea9d6, 0x3df8072b, 0xc397bffa,
+    0xac667f0a, 0x57f1e102, 0x54dcf213, 0x0f4b1742, 0x36e27138, 0x22799648, 0x0d4c0da0, 0xc9e317fe,
+    0x9dd68e9d, 0x48f7a398, 0xccd8c0c4, 0xae278b79, 0x6a8b2987, 0xbeb37d59, 0xfe2b6351, 0x999d8861,
+    0xf21e6eb1, 0xf5195893, 0xd4d1be87, 0x1df6bae1, 0x446ce7a7, 0xf21e986c, 0x6473ad64, 0x910a738f,
+    0x9c2d09fd, 0x3b79202f, 0xbc49eaa2, 0xc0902aa5, 0xd351d699, 0x48800fdf, 0x0aff3e45, 0x7298f311,
+    0x95abce16, 0x9458ad29, 0x10dab4ff, 0x6d19d524, 0x74f6a65a, 0x1b1a06f6, 0x4d639811, 0x9d6888d7,
+    0x21eb2830, 0xea83f757, 0x720a3557, 0x5a2a5bae, 0xcca43971, 0x566e312e, 0x61cd9337, 0xb2d04640,
+    0x33ce8bb8, 0x7d004fa5, 0x76176bc6, 0x8266d0f2, 0xc7fbe2c3, 0x6de8e604, 0x281a3f78, 0x7e620eda,
+    0x7eb07915, 0xfdea4dbe, 0xfd477a88, 0xab2649e7, 0x9aa72005, 0x08b3418c, 0x6fcd7e94, 0xef35881e,
+    0x682a14ec, 0x3b9f849b, 0x5413994a, 0xc91b8455, 0xf64b80c6, 0x2be39a51, 0x05b74601, 0x5c739448,
+    0x58a2dc4f, 0x3d40d4aa, 0xa7b94693, 0x139dada2, 0x6812ddc0, 0xd009ac56, 0x8d6ef69b, 0xf56787d9,
+    0x1d46bd04, 0x67949720, 0xffed043d, 0x876482d0, 0x27147e10, 0x801e87f0, 0xe4b15344, 0x214c8504,
+    0xa23c8e76, 0x958d5e83, 0xc21988d2, 0xabb6ba71, 0x27cbbdc7, 0x400b9753, 0xb25ef4d2, 0x0d6907d1,
+    0x51412598, 0x131c33a1, 0xb11590a4, 0xde80befb, 0xde0e2ed4, 0x8150d0ba, 0x207da5ad, 0x1d535dc6,
+    0xb2741b5c, 0xe5091d9c, 0xd2e2a37b, 0xdacebac9, 0xfb65cda9, 0xc15fd05d, 0x1b22d4aa, 0x29dfcfd7,
+    0xc374c099, 0xb0afbd9f, 0x4a9b3e27, 0x8811a1fb, 0x9af4a3ed, 0xdee2af58, 0x43a6b411, 0x006feaae,
+    0x5cf24491, 0x04342215, 0x66261d0a, 0x5752e77c, 0xac4cc995, 0x2920bf8f, 0xbe5af33b, 0x9844422a,
+    0x0b476578, 0x0551bbed, 0xcb5edd21, 0xee44d21d, 0x378f7fa6, 0x898d4206, 0x1f9ab91e, 0x54eb377d,
+    0xaf251af0, 0xe52c102c, 0xadb0f224, 0x29a01f8d, 0x2b7d5b63, 0xaa8efa95, 0x6bd41ae3, 0x2f5e0579,
+    0xf525df27, 0xda75600a, 0xc6b5b0ec, 0xa0d1a857, 0xf4e9dc1d, 0x789d6e60, 0xedb5c5de, 0xd51be54f,
+    0x2235aab8, 0x36340bf5, 0x26fd3650, 0x0f367992, 0x192b0dfd, 0x786a4ad4, 0x2f864915, 0x5195acd5,
+    0x6b7bb7f5, 0x5d3449f3, 0x1b3f2ad6, 0xc332fe12, 0x29a0905e, 0x5396f9f9, 0xb0f2fff6, 0x3ce49810,
+    0xe5c58019, 0xfb664422, 0x9b7489e9, 0x7115d201, 0xd98beba6, 0x32e1e8d8, 0xfa8a1e47, 0xd1030b84,
+    0x827efa9c, 0xfe0dc67d, 0x92ad6818, 0xb660c3c3, 0x85a9ac5d, 0xc5443849, 0x78519be5, 0xae43bd47,
+    0xff31bb56, 0xb03c87db, 0x07b158e5, 0x13cf8a86, 0xcca593ce, 0x4e932d20, 0x5758b41d, 0x49f8ad4b,
+    0x79592cd2, 0xf8405102, 0x1d06010e, 0x8a1d1573, 0x66611f57, 0x05527e06, 0xacdd19cd, 0xe00b3d3a,
+    0x5e6df551, 0x860dffac, 0x672a1f46, 0x9e2a2889, 0x2758e634, 0x48be33ed, 0xd50ceece, 0xa13a0b6a,
+    0xf238d873, 0xae4bdb0b, 0xdc996ac9, 0x598d2a6c, 0x7016ab69, 0xc2a53e8f, 0xb025efe2, 0xdba8a41b,
+    0x5746519a, 0x2ba0e81b, 0x2e5f9fef, 0xc5e47796, 0x9e2ebcf9, 0xbc573818, 0x385a120d, 0xdaf7be2c,
+    0x09394fab, 0xd4c62896, 0x9eb8375f, 0xb11e6a7e, 0xb9bae40b, 0x7dfe585b, 0x9c76afa1, 0x4dff0134,
+    0x04c039cd, 0xce636ec2, 0x3139c7a1, 0xdd318e54, 0x071a385c, 0x8f5dda38, 0x80aaa967, 0xbbb89442,
+    0x72edd474, 0x3e0f64ff, 0xfd337740, 0x73ad666a, 0x5838bd6f, 0xb6a206b0, 0xba704402, 0x25940240,
+    0x4fe5bd5f, 0xfcc70710, 0x7e604c2a, 0x12ec0b88, 0xa8c07347, 0x95e83b24, 0x45ec64ea, 0x50a9491b,
+    0x93150f3e, 0xc0ae0f8c, 0xd1bfd001, 0xe81ad8d3, 0x271c07a4, 0x930e9dbe, 0x1df5a9e8, 0x00ede1d1,
+    0xa96f89cd, 0x46f8ea7a, 0x44b5b1c9, 0xacbaedbc, 0x6bc08dd3, 0x6a09cb9f, 0x11680169, 0xdbb5cdcc,
+    0x99b02b04, 0x7fe98029, 0xa392881d, 0x2a96c090, 0xfdbdf3f4, 0x4f7b0393, 0x693c180d, 0x42eb52fa,
+    0x13ae3da4, 0x7c268d50, 0x2125d03a, 0x97878b1a, 0xa6dbf33f, 0x593dec33, 0xc6a1f99c, 0x0dc96dc8,
+    0x35373d66, 0x1ab929f9, 0x178671e0, 0xaf27c963, 0xd4639c11, 0x7f13b25c, 0x815febe1, 0xdb258362,
+    0x430fc245, 0xc9ba8651, 0xc289ba1d, 0x8e27a46e, 0x719459ea, 0x624b4fb7, 0x515cd0aa, 0xe3a052ef,
+    0xfdbfb7e8, 0xf4eca57c, 0x066c73bb, 0x5f4bdb01, 0x4c5d2996, 0xd42c4213, 0x73d24a10, 0xdb2451fb,
+    0x0d691602, 0x8c688cf1, 0x7c621bb1, 0x6c11e937, 0xd54a597c, 0xbcdcffbc, 0x7f58cfa2, 0x3112744d,
+    0x1988f8cf, 0x817e69f7, 0x7c3df1dd, 0x445d181b, 0x5014335e, 0x7286ffd5, 0xffec3b58, 0xc6895b27,
+    0x4dd2f26f, 0xe3b1b726, 0xb11d86bf, 0x43bd1529, 0xadbbc784, 0x4e7491df, 0x0345d1f7, 0x0e6d38fd,
+    0x38908d57, 0xa37f82f6, 0x33fab49e, 0xe31771b3, 0x358977e7, 0xb6c9ce71, 0xfc605def, 0xdfcc5a25,
+    0x68a3590e, 0xeb112efd, 0xa1f96548, 0xe2da73cb, 0x9a3c963c, 0xcf559f1f, 0x29d83af1, 0xedc28d5f,
+    0x6032eedf, 0xee6fe236, 0x41511f2f, 0x18610291, 0x7b48f965, 0xd8d3c678, 0xf3a19e42, 0xf88bada1,
+    0xddde0fcb, 0x8aa6c0a7, 0x91073c29, 0x3ef1d08f, 0x9790c62e, 0x90829403, 0x3306d8ad, 0xe6ec1a17,
+    0x27e50ffc, 0x67ea9b50, 0xc843025c, 0xcfabfbfc, 0xbc31ac1b, 0x5b39c396, 0x8729d116, 0xe54f568e,
+    0x829f3ec7, 0x5dd22f67, 0x3eb2bab5, 0x85e5450a, 0xfa143ba8, 0x094fa04e, 0x47cfd30d, 0x6b0608e0,
+    0xd3d0bc52, 0x9e9147c1, 0x621be31f, 0xc5f504e1, 0xe5c7bd08, 0x9df11be8, 0x22f0cf22, 0xf523d931,
+    0x0a4050e6, 0x0e76ee72, 0xf23cf33f, 0xe19fcff1, 0x9b985ca9, 0x80fb2d18, 0xec747c07, 0x6ce618ef,
+    0x784bf010, 0xcc43074f, 0xd5fd37aa, 0x50cdabc5, 0xf30c0e92, 0x6abb953c, 0xdbc70318, 0x4c181e42,
+    0xa32f725c, 0xbe96f3a2, 0x33d8faba, 0x7bd6a9d1, 0x33c3663b, 0x4ff8bf3f, 0x73bbb02d, 0xfe3ee916,
+    0xcb5b6745, 0x68199ba9, 0x22c54a20, 0xb8e447e6, 0xe3d7d66c, 0xf0e62c36, 0x96a10cfc, 0x22fb3362,
+    0xbf19b556, 0x030d8108, 0x3191a911, 0xbc2f6320, 0xcb3ef69a, 0xecf4a0d7, 0x300ea8d8, 0x8cd7cbdb,
+    0xbbacf1df, 0xa82cfde8, 0xb61c3ad1, 0xc49560a8, 0x8a664b27, 0x1d6bc216, 0x4d687ac2, 0x27bab8a4,
+    0x0211f1ca, 0x493a4602, 0xfb1c4e37, 0x9528f2b8, 0xd81e0741, 0x1897fe07, 0x9215c1ff, 0x936aeadd,
+    0x944dda28, 0xf73c2c75, 0xda076d9d, 0x7e51a324, 0x224bb009, 0xb3aacc15, 0xab7333cb, 0x5597a5c2,
+    0x56876a48, 0x018b0fe5, 0xaa96ea99, 0x1e6b338d, 0x6a27b23d, 0xfa6bbb92, 0x4855cbd1, 0x1ccdc71c,
+    0x4e28f8a6, 0x7a13b993, 0xf275f7b1, 0xae0a50ac, 0x9333f424, 0x6e5bc389, 0xbc328024, 0x0a7251fe,
+    0x4f70238f, 0x4138af60, 0xd512f022, 0x7644e683, 0x9c0abff8, 0xe91915be, 0x6128b3f3, 0xbc982bc3,
+    0x84435a92, 0x54c50afe, 0x33ea5b4c, 0xc05e600b, 0xc7fc2250, 0x47651952, 0x0e8a7e9c, 0xe322b98f,
+    0xd218ec59, 0x541434f3, 0xc2dcd665, 0xf0e6570b, 0x7ccbe007, 0x96eea309, 0x953f6919, 0xb851a382,
+    0x14e34504, 0x90887a56, 0x9f88404b, 0xedeb70b4, 0x1386b173, 0xc9deb5c5, 0xb5c6a44e, 0x671edcf5,
+    0xd8c36bcf, 0xb4176cf3, 0x54508cc3, 0x7e115875, 0x6067a798, 0xef195df1, 0x75c2deac, 0x2b9efc74,
+    0xdc361727, 0xe9d7008a, 0xddf5023e, 0xb65ecbd7, 0x92e66efb, 0x9ac17701, 0x77b22bf6, 0x69676de7,
+    0x403d6364, 0x82afc543, 0x5a5f5c63, 0x6db3fd8d, 0x8eeaca6e, 0xdbfc846a, 0xc3f6608d, 0x69bd76c5,
+    0x146beeb6, 0x8f736d97, 0xa7d9219f, 0x7164eefe, 0x24490700, 0xa544a480, 0xbab4a670, 0xa7594eb2,
+    0x1774ce58, 0xa81a57f6, 0xe771ead9, 0x574ede25, 0x3716dcf3, 0x4b6161c5, 0x7d376559, 0x94934f87,
+    0x87cab7f0, 0x48d614e4, 0x5ff28eb0, 0x2655d5db, 0x54f03af4, 0x56a36cbb, 0xcb32ac30, 0xe66d8c43,
+    0x0e25bf0e, 0x5baf56f0, 0x4a16e1c6, 0xc7720853, 0xffa6406e, 0x6ee3d969, 0xb2f64f93, 0x0cf898a0,
+    0x304d3f45, 0x5a48c170, 0x092583ee, 0xc225cb04, 0xa5fffd81, 0xc172ddb4, 0xbe71f976, 0xf1e1accc,
+    0x32388bf1, 0x499f47f5, 0x24cef574, 0x3dcc0e81, 0xb5191898, 0x30fe1c9b, 0xb8be6980, 0xd43b730a,
+    0xc91b7228, 0x764f969a, 0x118ae03d, 0x97835e64, 0x11b348e9, 0x5a849bf5, 0x0bfd83c3, 0xf8ce775b,
+    0x56eeb439, 0x8085012f, 0xfb16a416, 0x556e8732, 0x51d54be1, 0x6fbceedc, 0xe5ed0541, 0x5550d3a5,
+    0xde72811d, 0x3617a8b6, 0x5584298f, 0xe9bf955a, 0x07600811, 0x9dd01311, 0x57962c59, 0xdd3cbcbe,
+    0x2284fa3c, 0x3d115c50, 0x8cbd10f9, 0x3388b0f9, 0xd5159ff6, 0xa0ca7d62, 0xbd06cef4, 0x2e427311,
+    0xb46e3106, 0x22458518, 0xab4fa3fb, 0xaaf35a50, 0xf7bc7213, 0xf5be183f, 0x34bffa16, 0xb1cd9ecf,
+    0x2cfacf79, 0xdfc9b2ef, 0x7624e8bf, 0xea1831fd, 0x6d73c531, 0x43fa481f, 0x6d03b2fa, 0xfe5807da,
+    0x01713433, 0x3e15b51f, 0xb5b7714b, 0x336f2963, 0x57342ac4, 0xe19081dc, 0xee8f4c96, 0x3a9ac2d3,
+    0x5af657f2, 0x694b34c3, 0x641a0b30, 0x0d531fbe, 0x6273ee1e, 0x4dba0815, 0x29773737, 0x859eaef1,
+    0x00000000,
+    0x859d0664, 0xac8082e7, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b,
+    0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000018971\
+                         37590064188545819787018382342682267975428761855001222473056385648716020711424 */
+  { 0x00000000,
+    0x45261ca2, 0xd60c8510, 0xcffcb321, 0x29a09e5b, 0xd6cf5613, 0x10ae818f, 0x7a2aa3b7, 0x408b4a3b,
+    0xfaf9131f, 0x310a5f58, 0x8515af75, 0x4e98a12b, 0x428935f3, 0x00460e85, 0x8b5e4bd4, 0xb981d6ad,
+    0x11bc0623, 0xa8417709, 0x4263abd6, 0xd7dbcf12, 0xb2616cbc, 0x3c27f32e, 0xf82cf0f9, 0x6041e3c1,
+    0x726c8849, 0x9cf35fc2, 0x20d8159d, 0x5bcd6ba9, 0x8644d256, 0x59544636, 0x6987a713, 0x323ae59c,
+    0x2e9f74ff, 0xa69c7ffa, 0xe7eccf92, 0x4cf06693, 0xb1f64eaf, 0x04bcd6ac, 0x3b606488, 0x991a2346,
+    0xa5f9f280, 0x6e9cf925, 0x68fa21ca, 0x51f5116d, 0x7cf8a03d, 0x2d6af6b2, 0xf0510260, 0x3149607d,
+    0x5a24bda3, 0xb6b78354, 0xe8c966e9, 0x3e6171b6, 0xb4bb85ac, 0x3d7c5a97, 0xc0e10585, 0x52ff8fa2,
+    0x56c5bc52, 0xef13e922, 0x6dbf7e51, 0xcbfcbe7d, 0x9114f0d8, 0xf690629c, 0xcfeeddbe, 0x82febef1,
+    0xca0f2ebc, 0xce2e2adb, 0xf8cb16ef, 0xef81349b, 0x86b13469, 0x0ef9932f, 0x0069aa96, 0x9244e06d,
+    0xbdb7c428, 0xdf89b8a3, 0x25006a39, 0xfef213ac, 0xcf6b7244, 0x2785a6ce, 0x04c11057, 0x8eedece7,
+    0x811b2423, 0x8e404ff6, 0xb37f3ce6, 0xf6a5d43c, 0x83cc2bf6, 0x85b7c429, 0x93eb633c, 0x6d5a7af3,
+    0xd8cf6c58, 0xb770bf1c, 0xf5794ac6, 0xbcd02712, 0xe44ade78, 0xd67b7415, 0x76b63000, 0x7725e75b,
+    0xf29ba26b, 0xa7c5b79c, 0xee0b91d3, 0x534b7cbf, 0xe86d2594, 0x01b1c203, 0x9e4b6c3b, 0x8fe8f61a,
+    0x5e32e4f8, 0xd1305a6e, 0x7fa6172c, 0xec24c0bb, 0xd62cd28a, 0xb59e4146, 0x8648b606, 0x800b9872,
+    0x9d5eb61c, 0x5448280f, 0x9c9afc52, 0x9f79ce7e, 0x49d9b314, 0x58fccb9e, 0x9b111140, 0x88f4487f,
+    0xebd25802, 0x5d013b15, 0x49ffafc5, 0x1c2b6963, 0x88298fad, 0x92a7489a, 0xe7b216de, 0x1d33f4f5,
+    0x73674e8d, 0x96620706, 0x6bb8fd3e, 0x722aece8, 0x603a5850, 0x9a3b2957, 0xb0a894ec, 0xa844cc3b,
+    0xc0835dec, 0x12fb5221, 0xb97898ee, 0xe2afa120, 0x40dfee60, 0x344bd54e, 0x248191c0, 0xe3eb0f42,
+    0x0e8674cc, 0x9a52313e, 0x9ab6a144, 0x2161aafa, 0x8309359a, 0x8a63d84d, 0x0bfcffab, 0xcfbce291,
+    0xba0173a3, 0x38d2d1dd, 0x32a5c25e, 0x11862bd3, 0xfd919d5c, 0x581b7c63, 0xd3cf13e3, 0xee4329d3,
+    0x6067182a, 0x61dcfd1d, 0x012a6006, 0x029e8e58, 0x497349e8, 0x16f97be1, 0xd317f7e2, 0x45c04120,
+    0x9dabd208, 0x2ee6a8ef, 0x8a275e6e, 0x619eae1f, 0x6c5b0fc1, 0xf7276f7f, 0x8760c362, 0x50ce31c3,
+    0x4318b703, 0xbe43e00f, 0x1ca8a686, 0x6c8df4f1, 0xa6777a4a, 0x0e1d3e0b, 0xd3c82e38, 0x56504822,
+    0x8d2f65d9, 0xe899a80c, 0x9ac78ae6, 0x5cc752d2, 0x01765b63, 0xfac33545, 0x503e96dc, 0xb99fbd17,
+    0x8d6f4f4a, 0xdcf59965, 0x88c9c8a9, 0x9d41a1bb, 0xb696361a, 0xd53e7ab2, 0x68d20e69, 0x5ac01519,
+    0xaf78fff8, 0x282d04c1, 0x070774c2, 0xab49d347, 0x5f25ce9a, 0xaae89a99, 0x0e036fa8, 0xe2948369,
+    0xfe6b3852, 0x48a676e9, 0x6ec06af7, 0xeef245ed, 0xeb443ecc, 0x14e482bc, 0x8842714d, 0xb9ebed99,
+    0xb041b09d, 0x9d90c91c, 0xd86f7cef, 0xd37db81c, 0x5c811a85, 0xdae08368, 0x960d97c6, 0xadbfe784,
+    0x07884dfd, 0x3421a423, 0xee72b46f, 0xe281ee56, 0x962a41dc, 0xcb5b4704, 0x0745d49f, 0x3238823d,
+    0xec9fbf1d, 0xda0ffe9d, 0x1c2c3321, 0xecba43e0, 0x47778e15, 0x974b797d, 0x358f5f77, 0xd18e734f,
+    0xb4ed87ca, 0x39353b4c, 0xd393b1fb, 0xad349743, 0xa95de469, 0x90532840, 0xca492e59, 0xdf2a6d33,
+    0xedd63899, 0xd095a9da, 0x360be358, 0x8bfa7f78, 0xd52c37e2, 0x9a028029, 0x9cf4cb7c, 0xf2391500,
+    0xff39503f, 0x5b3b69ab, 0xbdfef8fb, 0x7cdbc265, 0xc646fa5f, 0x14657d09, 0x673a6518, 0xe6b42dc2,
+    0x3e18d698, 0xab7c09d0, 0x0eb095ef, 0x2a3a25db, 0xf88834e7, 0x9bcc4a0f, 0x79207851, 0x78b038b1,
+    0x2ef3ecdb, 0xeb0c3440, 0x597688f9, 0x595525b8, 0x73dba940, 0xb59b16c5, 0xe0847b28, 0x5ec6d66f,
+    0xcc1d263c, 0xbbd2fc1a, 0xf773549d, 0xcc1047d2, 0x0bf61b71, 0x762d622e, 0xfb9f88c7, 0xbb938b6c,
+    0x3db4b5c2, 0x44c1c79c, 0xba21e719, 0x579b783b, 0x66fdcc65, 0xda55fe94, 0x1275793e, 0xe9328e32,
+    0x7e3248c3, 0x4e7f1ce4, 0x1acbd9bb, 0x2587dcb9, 0xff3f3026, 0x39331f18, 0xe813404d, 0xd7002466,
+    0xe0fd9cd6, 0xb84dd637, 0xa1bf0c8a, 0x63f5af5b, 0x209a11c6, 0xe7cfa217, 0x84232051, 0x10357e9e,
+    0x77d397a4, 0xe306ba1d, 0x032b0a8b, 0xe72f45ce, 0x0408df58, 0xa9c7ec58, 0x4578db68, 0x83f17f34,
+    0x058c69d9, 0x4d28b6c0, 0x94d58f29, 0x8b96f448, 0xad6c51bb, 0x7ffbf7b6, 0xa47a4f90, 0xe34a3bde,
+    0xede597ed, 0x359112d5, 0xfbb8a83c, 0x3faceb3f, 0x22d0c473, 0xdffb651c, 0x197821a6, 0x11aae53a,
+    0xcdf24546, 0xf962aab4, 0xbb49dc58, 0x4b529a6f, 0x4d97f5c0, 0x1be5f550, 0x94c54c33, 0x9c70a875,
+    0x7afc78bd, 0x2bfb57d2, 0xc3161985, 0x5a2a5714, 0xd31aa10a, 0x1c6bdef9, 0xd3986682, 0xa474f8f3,
+    0x77752843, 0x0217951d, 0x09b9dc41, 0x2147f9e2, 0xd3d3c4c0, 0xb943e3d3, 0x59fa88ca, 0xd304cb81,
+    0xfed18502, 0xce3b119c, 0xd1fcacd6, 0x6ec6fa24, 0xab18570e, 0xe870d8cd, 0x7660af2a, 0xb4b585c6,
+    0xf40621a1, 0x7f2c51a2, 0xe011d886, 0xd8959606, 0x562dbe06, 0x5f8a00dd, 0x5cb228f8, 0x26ebfbaf,
+    0x0180ce82, 0x6e6769a0, 0x1503d52a, 0x585cd100, 0x3f9193da, 0x317e53db, 0xc278a2f7, 0x0a860736,
+    0x7179cf45, 0xc7fe85d3, 0x49a00b57, 0xe1136dec, 0xed1aa592, 0x327dbe2f, 0x246d820b, 0x8a538199,
+    0xd00554fe, 0xa30dd966, 0x52b61591, 0xacb595bc, 0xbb6d1ea6, 0xc680d15e, 0x417619bc, 0x0ff9a425,
+    0x97468421, 0x3cb95438, 0xdb8cca4d, 0xdd917ced, 0x4b708310, 0xf630eb27, 0xa08a83f2, 0xabc6a9e3,
+    0xf47f4ea7, 0xf239396a, 0xd4c511ec, 0xa09b2d83, 0x44a42d9d, 0xb7b05b5f, 0xb5e60e1a, 0xfc10ac88,
+    0xc158dd1e, 0x7aa505cd, 0xf95b78ae, 0xdb329875, 0x051b4909, 0x777c2f08, 0x683345a6, 0xa9b6cd37,
+    0x5c2a1910, 0x7870d570, 0x55e69f82, 0x19a93fb7, 0x0f11e796, 0x891d06af, 0x112860ca, 0x19111bfb,
+    0x79a97434, 0xcf37f1a1, 0x510aaf17, 0x1ed74fbe, 0x61b2e2ec, 0xc587943f, 0x7482a0a8, 0x5a83932c,
+    0xa0bdda8d, 0x5ab482b6, 0x3878ea33, 0x06be8e80, 0x2c470558, 0x89209248, 0x58d1e801, 0x6909ccc2,
+    0xc8701845, 0x4bf9f243, 0x6c9bd02f, 0x7f3a8f8e, 0xa2bf5262, 0x7b2f77a1, 0x090b27a6, 0x463683fa,
+    0x39cf189d, 0x6d8cd348, 0xa7b16ff5, 0xe108112f, 0x11616167, 0x9756df43, 0xfeaef85a, 0x5d89a3a7,
+    0x08bb2945, 0x27cc7a05, 0x1b4e7721, 0x19133db8, 0xe7304556, 0x5c7395cd, 0x6a20d7fe, 0x992777eb,
+    0x8c529596, 0xf3fc7c07, 0xcbd58825, 0xc82352c2, 0x5e2f05ec, 0x832b872e, 0x0e4c53be, 0x940681f4,
+    0x4c9933df, 0xd6154bf2, 0x2a3ee3a3, 0xcb28e187, 0x4e76fe24, 0xb552b9f0, 0xa89e2a12, 0xeb88ca84,
+    0x4f852287, 0xf4a355f6, 0xf50c235d, 0x9fd8373c, 0x2d73a629, 0x298dcd27, 0xad391741, 0x7db5be27,
+    0xee7ec715, 0xc9d1da2f, 0x867a1b15, 0x1781b7cc, 0x96da96d4, 0xe8d68110, 0x9c3613e5, 0x63299f40,
+    0x01cf493f, 0x9e3878b0, 0x99f07082, 0x9bdc9abd, 0x0125ce11, 0x3ace3cd6, 0x850d09da, 0xb63073fa,
+    0x15fc0dbe, 0xddd12730, 0x102b5d14, 0xf2fa452c, 0x743f82a9, 0x82cd1d2f, 0x3e7174f8, 0xac19f85a,
+    0x76fcad8f, 0x782c2391, 0xc63c1e2b, 0xd3e13249, 0xc9067f7c, 0x35068fb7, 0x16a82190, 0xfb4cd2af,
+    0x9bd91d92, 0x5bafd4da, 0xbcd1dac6, 0x64ea18a1, 0x1ad1e259, 0xd93666cd, 0x6a471cc0, 0xf72ff1d3,
+    0xbd60a03c, 0xf9013196, 0xbc114c53, 0xfe832785, 0x8c6f398a, 0xeb0bc500, 0x84d32236, 0xa6bdf95a,
+    0xd7e16cf0, 0x02731cef, 0x9e1f7e47, 0x0dfb8519, 0x9d88acec, 0xd893e8c3, 0x1b2621c1, 0xe0caf39c,
+    0x4df579dc, 0xe34090eb, 0x9c7c9577, 0x1e9363b4, 0xafd4ad81, 0xc5abde0b, 0x1b88ff26, 0x8c2da838,
+    0x2acd69c5, 0x1cd23302, 0xdc37e1c3, 0xba27a083, 0xbe17c761, 0x319b9a4c, 0x4d61a887, 0xfce42a0c,
+    0x4b50dd4e, 0xa45bd165, 0xd8232b37, 0x08d8a392, 0x4c685515, 0xfc6f3dda, 0x5868e255, 0xbfde7ffe,
+    0x8f299bce, 0x52f22c8d, 0x496773c3, 0x10e889be, 0x1dbc8b67, 0xc95e022b, 0xb2ff4277, 0x6f6e13aa,
+    0x8947b7d6, 0x3de817c5, 0xf13ce579, 0xb172f1e8, 0x4ed539dc, 0xf8e37720, 0x4cda50ab, 0x549b6adf,
+    0xa66593ea, 0xa4e95342, 0x8de4f466, 0x873fd029, 0xf8870363, 0x7f3ac165, 0x377c906f, 0xbf214c79,
+    0xdae4801d, 0x2619d6af, 0xd6364f41, 0x71c6fb99, 0x2d2c3d7a, 0x9c963148, 0x5a17e680, 0xe8dda003,
+    0xab6bc344, 0xfc900235, 0xa101771a, 0x9af004ae, 0xc75907a3, 0x97b713a0, 0xa5b73ec0, 0x88bca262,
+    0x141797a0, 0xfed76ba8, 0x606c410c, 0x10429fdf, 0xcfddafee, 0x11de88e2, 0x17a8cf20, 0x4c7abc15,
+    0xff2d9614, 0x813ab58b, 0x24d958cc, 0x820b6c9e, 0x1a20fbb5, 0xb46ae79f, 0xc09dda5c, 0xd93b6637,
+    0x84971264, 0xec8c5dd3, 0x9b0b4f5e, 0xc6f30dce, 0x4308cb0f, 0xa3402794, 0x3162d90f, 0x1cb67163,
+    0xc90ef4fd, 0x2a70d470, 0x9e75cdb4, 0x8012b808, 0x3ee2fd51, 0xaa954307, 0x962defea, 0xe5a67c9e,
+    0xcf061b6a, 0x4ee0b4dc, 0x402d295e, 0xb1d49f19, 0xd72d87e1, 0x467703fb, 0x8ada417e, 0xdd2de496,
+    0xc28eead1, 0x823f7374, 0xeeaea788, 0x546724d7, 0xd1d5f3c4, 0x74c2374d, 0xdde602ef, 0xebd1b51f,
+    0xd031184b, 0x557c326e, 0xf3b26d38, 0xb6ddc306, 0x888a4b4c, 0x054d6fa9, 0xdf15f62e, 0x96564cd8,
+    0x90f02a96, 0xa3c37594, 0xf9ccbb7c, 0x22e0c853, 0x738c5a91, 0x49e44283, 0xd130e6ce, 0xab063b88,
+    0xfeaae6b9, 0x80a7f5c2, 0xeb7547af, 0x6e761e94, 0xae3f73f9, 0xadcd0c61, 0xf06e6a8e, 0x57dd82fc,
+    0xfbefdae3, 0x9c28f036, 0x7d9c8c21, 0x477bad8b, 0xef6ec3f9, 0x7f321c1a, 0x80a31e54, 0x0bb0bde5,
+    0x3cbe2825, 0xc44fe87e, 0xc00065c8, 0x7b9b61ff, 0x1c37ec14, 0xeb386574, 0xc4599545, 0xf50370c2,
+    0x74c6c112, 0x805cdf60, 0xbf51222f, 0x10f036a5, 0x75625ccf, 0x3732e06b, 0x98ad18c7, 0x92ab7a1d,
+    0xdabfd1bb, 0x1325acb5, 0xd42b93af, 0x1aa41137, 0x6a6ad222, 0x3913270f, 0x69d85090, 0x885d0645,
+    0x2398b82a, 0xf48356b4, 0xd72bb2d4, 0xe6c30f94, 0x66f3ba08, 0xf7ea1157, 0xe90a5138, 0x8e629063,
+    0xed82b922, 0x98ffb141, 0xeb012c64, 0x019112d3, 0x724003ac, 0xc42394c9, 0x5e78489b, 0x8a0f3219,
+    0x31a7069f, 0x68b9cf7f, 0xf4443abf, 0x51892ac5, 0xcfd97b16, 0x39b2da0b, 0xf1998973, 0x95d47db0,
+    0x70f144aa, 0x0740b6e8, 0xbcf1a18f, 0x28e2e78f, 0x0d1a012e, 0xbd71155f, 0x6ea38e6f, 0x29b42b35,
+    0x8a0603eb, 0x45350d86, 0x898ad6bf, 0xef32c7ee, 0x94a46b6c, 0xb1288693, 0x3d491044, 0xcd6af762,
+    0xaa6d2a63, 0x521f128f, 0x444b80e6, 0xbc7784d2, 0xbf75710d, 0x01d0fa4e, 0x1f277e7c, 0x04ad7c78,
+    0x7a964179, 0x8cffc724, 0x010ae59c, 0x96530b43, 0x8528f3f6, 0xe285cf49, 0x768575e5, 0x2a554bc2,
+    0xb825ec32, 0x9a7de144, 0xc84c087b, 0x896f707c, 0xfdcf5541, 0x932414f1, 0x18eac634, 0x0e59ca1b,
+    0x6c578d3a, 0x953cc17c, 0x082ed6d6, 0x688f24ea, 0xd5f0d016, 0x4d7c236b, 0x2d465333, 0x7772cf4e,
+    0xada698c7, 0xc6c29ed7, 0x58cefd98, 0x48da8799, 0xa4da2a5c, 0x87632c8f, 0xa1124c9c, 0x23422b5c,
+    0xd59978a2, 0x5ebab98d, 0xc07659c0, 0x85921508, 0x2dde9d31, 0xa7f9798c, 0x37f551a4, 0x0fee6ba2,
+    0xbd7b99f9, 0x8fad459d, 0xfe3f1004, 0x423cb145, 0xc65561fd, 0x3c848f10, 0x9ff2a0a8, 0xd07f9bef,
+    0x2c5d521d, 0xb9a0ba9d, 0x6a8d7bc7, 0xe8dd98a2, 0x39f80b5f, 0x9f07af3d, 0xeaeaa21b, 0xf4e228d6,
+    0xba4c404d, 0x0f472732, 0xebc40262, 0x71cdcaf2, 0xe7b590df, 0x49f7befc, 0xb8fab758, 0x71e6be7a,
+    0x396bce6f, 0x2bf86d54, 0xd7cbdfcd, 0x846d0d83, 0x93e1e477, 0xf6a1756a, 0xf72fdf06, 0x9e398807,
+    0x997a4f26, 0x4199639a, 0xf400d9c7, 0xac24ec09, 0xe51b8f06, 0x45e0a339, 0x8895ae6d, 0x95617b92,
+    0xb2fcd9df, 0x192ff1dc, 0x148651a7, 0xeb349c78, 0x4edf9632, 0xd6833aac, 0xeab7ce72, 0xdfc9a11c,
+    0x3919b839, 0x2c634899, 0x32ba0a4d, 0x91ce9504, 0x977ab52f, 0x9c1d55aa, 0x00b6fd5b, 0x0e56c59c,
+    0xdf830e6d, 0x41603495, 0x811f638e, 0x257111c5, 0x826edb2c, 0xf66d80d1, 0xbd79fe06, 0xc91f992b,
+    0x457b4500, 0xc0b494fb, 0xc9d67c65, 0x32b3d090, 0x5cd693d8, 0x1f4af903, 0xf031abdd, 0x7336fc14,
+    0x427b5876, 0x47c14fce, 0xabf6c1d6, 0x5fa629f2, 0x08aa77aa, 0x7120f606, 0xcd074731, 0x6c861af5,
+    0x172d4845, 0x3d447b60, 0x6e741b62, 0xe76dd615, 0x4b51c27c, 0x9f49749b, 0x6e6b5f66, 0x70c92496,
+    0xa6b10b7a, 0x48d35b12, 0x356e8459, 0xc6781916, 0xcdf5b947, 0xb77b11b0, 0x9bc2217f, 0x07d51534,
+    0x762337e5, 0x51aa06d1, 0x9b2e02e2, 0x96c8b31e, 0x0ab86071, 0xeed23fa8, 0xfe93154e, 0xf6363c44,
+    0xa493e120, 0x0fd36a73, 0xc5304f46, 0x3e945e22, 0x5c288fa0, 0xe6a15f04, 0xde3e7f4a, 0x4fc9c7d1,
+    0xc6030cba, 0x6bafb61a, 0xdb3fc394, 0x16ff0e4e, 0x460edcc0, 0xdbf73744, 0x516ffdf6, 0x2885b2d9,
+    0x47608db5, 0x19000615, 0x1a3da0ed, 0x194714b1, 0xe08a78a8, 0xf53584e7, 0xbd91d312, 0xbd420216,
+    0x263a8ee1, 0xb04cb933, 0x080cb80c, 0x7d0396bb, 0x58e0fc46, 0x711a13e7, 0x96b700b8, 0x0c00089c,
+    0xae292a47, 0x38d8009b, 0x9e621e39, 0x22b7d772, 0x8c18bcd8, 0x68f8a576, 0xbe0e6135, 0x4b863827,
+    0xf4566d94, 0x484e690a, 0x784540c1, 0x89b4158e, 0x9caee8ad, 0x137fbd7d, 0xe19649fb, 0x04c6f725,
+    0x2ed5f879, 0x7ed87789, 0xc6c805b6, 0x18715552, 0xe0916f3e, 0xac4869c2, 0x6855f0b4, 0x909cca86,
+    0xea7b47c0, 0xbdb537a5, 0x1042b2c9, 0x19ea7797, 0xe81b329c, 0xf5d62b25, 0x8cf50aaa, 0xdb14e008,
+    0x8010bd06, 0x76df890d, 0x46eb965f, 0x01bc39c8, 0xb0f1bfb5, 0xff657a0b, 0x37a06a41, 0xc0b95244,
+    0x4830ce6b, 0xba5bf900, 0xdece1ae8, 0x1f766f60, 0xa6a2bdd4, 0xb1f35f40, 0x9dd50dd3, 0xbb5246c8,
+    0x1c01ae75, 0x7e087c3b, 0x76874d1f, 0x41483865, 0x3e7171e3, 0x4079bff2, 0x6fa7c410, 0xffcc7d2b,
+    0x21ed0ffb, 0xfcf8d7d4, 0xadd9363f, 0xc7caa650, 0x2bf0af93, 0x4e8db429, 0x9fa8a879, 0xb8f3533e,
+    0x00000000,
+    0xc2ce8331, 0x56404173, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d,
+    0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000009485\
+                         68795032094272909893509191171341133987714380927500611236528192824358010355712 */
+  { 0x00000000,
+    0x39284811, 0x74148e03, 0x5356569a, 0x5210422a, 0x51e1b2ec, 0x60138798, 0x25f17fa9, 0xcc500fe4,
+    0x27808511, 0xba51ca2e, 0x1ca3b364, 0x98d1ae0a, 0x2e49415a, 0xff08a8e3, 0x81b3641a, 0x03878056,
+    0xa6bad046, 0x79662ea6, 0x90c8943e, 0x400a043b, 0xc588f94b, 0x070fb733, 0x6231a46c, 0xd275bc46,
+    0x957b99e3, 0x0ae945d4, 0x9f968fab, 0x7be1b196, 0x6daaf9c1, 0x83ac5272, 0xb31ec337, 0xcda2d7e7,
+    0x3912eb83, 0x05b0a262, 0x7e66240e, 0xf00bcd10, 0x0f488072, 0x7f3d70b9, 0xcc4483a9, 0xd52c2348,
+    0x85eb72e1, 0xeb81c4b9, 0x0540d1ef, 0x7391bdac, 0x4bf604c9, 0x86f439e9, 0x71d8e0d1, 0x3a60a035,
+    0x314957de, 0xcaee9af2, 0xe3ca5885, 0xc1271729, 0x97fe3e03, 0xcbd73224, 0x8e537081, 0xa321106a,
+    0x22d667a1, 0x8b8613de, 0x925242fd, 0x4918dbb6, 0x1d485fa9, 0x5a1ef0d5, 0x86a3c909, 0x6601f751,
+    0x297f017b, 0x3e371a7e, 0xabfa4411, 0x2d078b3f, 0x8cb9b1fd, 0xf47f1e06, 0xf3ae2814, 0xc90a8895,
+    0x6518aef5, 0x2e85fc7f, 0x42ecbc99, 0xfaf27cf8, 0xf0b14acc, 0xa9f89cbc, 0x9be78f46, 0x2ca306d7,
+    0xdaa55756, 0xe52c6707, 0x85cfa7c1, 0x8c48bbb0, 0x263448c7, 0x275f0c20, 0x1d5fae32, 0x6e2c81f7,
+    0x1548929f, 0x2e602d16, 0xddbd51e6, 0x2a0d14ae, 0x6401aed6, 0xccf3e89c, 0x7aa16a65, 0xf4471121,
+    0x3bbb48fe, 0x3b356a7c, 0xba33ba05, 0xbcdc07c1, 0x6c92400a, 0x018c18b4, 0x31474d67, 0x1fcfb6b4,
+    0x580b1203, 0xb06036f4, 0x5ade50d2, 0xb20aaf6c, 0x5d082f49, 0xa5cbda86, 0x742a6b6e, 0x460f27ed,
+    0x005c03b4, 0xf9903423, 0x1e0658bf, 0x5bec528a, 0x809addd7, 0xae12cf62, 0x32f71097, 0xf0871816,
+    0x1f3d1f4e, 0x1458c205, 0xa291dc5f, 0x16cb4699, 0x0baa8770, 0xf21d406b, 0x73263123, 0x70558215,
+    0x3a358232, 0xe4986a78, 0xb92e36e9, 0xfcc933ee, 0x2fe6b7c6, 0x578c00c5, 0x4c6dd26a, 0x8b6a830f,
+    0x361e9317, 0x7e984bea, 0xf716b2a3, 0x522f7ea3, 0xf87e4d64, 0x365ec8c7, 0xc92b6b7f, 0x68b603a3,
+    0xf0bf37ab, 0xf9eb5f0a, 0xca73adb3, 0xce2e1951, 0x81404f87, 0x797631db, 0x6ae7b8da, 0x6d9a4eb4,
+    0x5676e267, 0x8d57b334, 0xf59bc917, 0x9347bb6c, 0x7aac332e, 0x7f42bf81, 0xeef6bc61, 0x117e028e,
+    0x6aa27f51, 0xbc9cd7ed, 0xafc1ae07, 0xb05d09ff, 0x6f40369b, 0x6220fdba, 0x5a368bfb, 0x3015b183,
+    0x9f65bf74, 0xcc1ed490, 0xb01bb100, 0x05c5698e, 0x3f2918a2, 0xb85e3abf, 0xaa41e470, 0xe688fece,
+    0x5cbbc41c, 0xfb94b754, 0xae9d7d4a, 0x632ee878, 0x02a4197a, 0x49fe5c5a, 0x56b47aa1, 0x8ed73d1c,
+    0x0d9d2dff, 0x64484ac3, 0xfa264fc4, 0x9336f371, 0x446bba4a, 0x43f43994, 0x4e92f4e3, 0xcb205800,
+    0xbf9f099e, 0x3deac134, 0xd34515db, 0xe6c98bf1, 0xba366414, 0x6581f0b5, 0xafe5d12f, 0x4f43d396,
+    0x7cc8a464, 0xe86c277c, 0xd468772a, 0xee806044, 0x278a5c5e, 0x8a59f436, 0xf2a06f8c, 0x5bb9e0c0,
+    0x03810cd0, 0xfaaf8edb, 0x4dfbb2ba, 0x88071d49, 0x98d8c53f, 0xf4546039, 0xffe3eb2c, 0x4b689024,
+    0xaf19a6a4, 0x4e43c112, 0x2eb8cb30, 0x227055fe, 0xf47bea1d, 0x62423b74, 0x2467f8dc, 0x50596327,
+    0x7562e5d0, 0x7b35e103, 0xb3b9b001, 0x645101e2, 0x03940bea, 0x631b53cd, 0x188ff3b4, 0x71fbbe05,
+    0x272293ad, 0x04582cf8, 0xf32793a5, 0xa8014d42, 0xfacda7e9, 0xf92e0c04, 0xdd52d94e, 0x910fcec0,
+    0x5b24fe88, 0x3f39ccfe, 0xf2bea1bd, 0xc08e05a2, 0x2d92f526, 0x428746a7, 0x9e4e0e21, 0x97f0a9f0,
+    0xc5de9a60, 0x9ec3a490, 0xa438728f, 0xfc5fce54, 0x7f9abb1d, 0x67783648, 0x1497e4ba, 0x08d47ed0,
+    0x6f8bb55b, 0x1385b729, 0x83dab78f, 0xa6644b0d, 0xd2f60a9f, 0x398e6dd9, 0xef39c9cd, 0xecda5425,
+    0x7cb6e9d7, 0x8182f47d, 0x4b96936c, 0x3d5fc154, 0x34713480, 0xa5e21276, 0x8e61cd4a, 0x5a42abe1,
+    0x25bf754a, 0x02c8ea63, 0x0f7832a0, 0xb342e7f3, 0x648c778b, 0x28eb51aa, 0x9914725e, 0xde7fc316,
+    0x07521e59, 0x50984702, 0xef25a04e, 0xc46fbbd2, 0xd3685700, 0x94431225, 0x9caab652, 0x6b8b04d0,
+    0xb25ea88e, 0x6a14298c, 0xa1026944, 0xdc2fa207, 0xf42a1777, 0xef6b3ebc, 0xa5f1d22d, 0xf7631986,
+    0xeee1d2a6, 0x60098c5f, 0xe9b1dbeb, 0xe18e516a, 0x48f4536e, 0xd4ae327f, 0xf7c50fd7, 0x8712b407,
+    0x389fe227, 0xaf503afa, 0x54643cbe, 0x1ead516d, 0x41e7468f, 0x5165c6ef, 0x3d0b9cef, 0x5300855c,
+    0x5c6b9def, 0x4e458adc, 0x8743671f, 0x151642e7, 0xd0eb987c, 0x9cafd159, 0x7bdd49e4, 0x3f68afef,
+    0xbb986831, 0x66050538, 0xd4c69893, 0x8995c65c, 0x482d8669, 0x82ed65ed, 0x66124c76, 0x7f992cc5,
+    0x892657f3, 0x06ef84b6, 0x14fb50e8, 0x46153180, 0xe749f888, 0x6ce27005, 0xa8cd69bf, 0xdafa4b5b,
+    0x63195fe8, 0x62a50908, 0xa327f9bf, 0x9383870a, 0x8e451e88, 0xed8d8908, 0x44d0e7c5, 0xf5221a6b,
+    0xeed78346, 0x85624651, 0xfbf29839, 0x4777aeeb, 0xcbd4e8dd, 0x95fe27a3, 0xf9aef9c7, 0x6e9a772e,
+    0x4df4c52c, 0x161fa813, 0x1578660e, 0x3166fab5, 0xfec83925, 0x46dada9d, 0xebe226af, 0x580970bf,
+    0xf23b8b71, 0x977a3778, 0x8a9935b0, 0x33316584, 0xabbf104d, 0x60d28069, 0x0a1c4471, 0xd290cd58,
+    0x086b65c0, 0xa60a80bd, 0xc9983cf1, 0xe6405adc, 0xbdabebab, 0x25b55c00, 0x1e5892ab, 0x1a8f9d9e,
+    0xc629b7a4, 0xb4ef3528, 0x95b7d1cb, 0x645353ac, 0xdffc1378, 0x622d44db, 0xc8e129f8, 0x93be9371,
+    0xff605618, 0xe01a1449, 0x2802b0e5, 0x9edd0ce7, 0xc9074756, 0xc7baf89a, 0xa22c6405, 0x52b1d875,
+    0x82756447, 0x6b8efaff, 0x6eecbccb, 0x6f0a267c, 0x00afa7e5, 0x5a57609f, 0xcc55fccf, 0xc7bcbd16,
+    0x9f0994a7, 0x2a98fcb7, 0xb5dfaf26, 0x29231fff, 0x30512879, 0xebf04077, 0x52e5aaac, 0x313be08d,
+    0x8328ac95, 0xe483052a, 0x559025c1, 0x45a5bbba, 0xe6bfffc2, 0x5442ccd9, 0xeae287ff, 0xac425611,
+    0xf27e0304, 0x808ccfff, 0xdde8861e, 0x55176746, 0x516cafa4, 0x9dd3a129, 0x6316677b, 0xc1ab4a71,
+    0x843aea67, 0x0e06fab4, 0x96f797c6, 0x5e12baad, 0x8ebc6e78, 0x21473015, 0x17511fb1, 0x9b9f439c,
+    0x85e71d81, 0xfaf373bb, 0x8286eb11, 0x573db404, 0x12441e14, 0x64990b1c, 0x11473acf, 0xe83a8330,
+    0xedb1a47a, 0x0c570723, 0x8114669f, 0xd48c4b6f, 0x9688ca17, 0x46a4af39, 0x056f883b, 0xf2b0b039,
+    0x1ab21968, 0xc6691e79, 0xcf007247, 0x1402c678, 0x2a4ce2cb, 0x93486f2d, 0x6cdc80d5, 0x68dfd0d7,
+    0x57ef98ec, 0xc8e71ab1, 0xaa9e734b, 0xcf13cf7e, 0xf281c081, 0xb107e826, 0xd010eaf5, 0x6f6e9bba,
+    0xa8067751, 0x82bc1ed3, 0x5f94dfea, 0xed333a6c, 0x5de01820, 0x9caed42f, 0xa3fed4d9, 0xce30aac6,
+    0xa8d3ffba, 0xcc472f20, 0x5360616c, 0x6a73cb36, 0xd627d504, 0x50d78ac5, 0x1e34ff02, 0xebf6a5aa,
+    0xaa0c1a01, 0xd4e4762d, 0xa6686cf3, 0x46444633, 0x419950da, 0xddee2624, 0x1ccaa7ae, 0x7e653e23,
+    0x5191cbe9, 0xfd2de45f, 0x1aedc0b7, 0xdde06bd6, 0xd05d623e, 0x36c41146, 0xc669fefb, 0x69f00216,
+    0x7339491d, 0xd08f6884, 0xb9bfb4ee, 0xffd1fafb, 0x52d1603e, 0x65505a60, 0x2c6185d6, 0x0768b087,
+    0x506f9262, 0x6d5191e2, 0x5ede6ebf, 0xd825f61b, 0x1923b451, 0x64838bc1, 0xa8d6288d, 0xc34abc12,
+    0xb4a36367, 0xbe4bb1c6, 0x3cb933be, 0xa5177165, 0x85b68abb, 0x9764c43c, 0x8985103e, 0xd08b17cb,
+    0x36450413, 0xf385ed12, 0x79b6110c, 0xc8a35113, 0xce07a989, 0x60e59edd, 0xfde1c8e1, 0xfa39fed9,
+    0xfdd011aa, 0x04949de5, 0x10c061f8, 0x219541a4, 0xf728b83d, 0xe1f6d94f, 0x672ed427, 0x1e3e8b8f,
+    0x24312ff9, 0xca8e397d, 0x27930234, 0x0e0beaaa, 0x09e2b1dc, 0x48fe6e3e, 0x9275d2fe, 0x5170cfa1,
+    0x71ccd154, 0x1ed571f7, 0xe24b2164, 0xb397ff29, 0x50780281, 0xfbcb8feb, 0x3be4ff06, 0x9cebdf5e,
+    0x4e755949, 0x89ca2937, 0x0c8059dc, 0xd606a7bf, 0xfda8e901, 0x0c678f39, 0xb21578ec, 0x8e1fd9d7,
+    0x6fa059fb, 0x127edcca, 0xbc9526bc, 0x849df351, 0xcf124821, 0x0f7f4f76, 0x7e43fab0, 0x88bf1780,
+    0xb289a148, 0x5df0c861, 0xd8c60f86, 0x2dffba35, 0x7aeaa0b3, 0x5ac965d9, 0x8e9e62e0, 0xbd6a925a,
+    0x94deca28, 0x0754115d, 0xfef887dd, 0xf84eae24, 0x4e4efbea, 0x3f7a6f29, 0x368088b4, 0xaf140367,
+    0x1967ae6c, 0xd6db5acc, 0xa0995b58, 0x7a94d353, 0x8724fd65, 0xed1bc40f, 0x60428c7c, 0xd89e6be7,
+    0x8e9484be, 0x39512756, 0xfe888b36, 0x0c36e395, 0x01b2c707, 0x8c0be0de, 0x324b0d9b, 0x83ba3d3e,
+    0xfa9573a6, 0xad1db982, 0xdb003be5, 0x38a50bc7, 0xa460090d, 0x150dca97, 0x8edfaa57, 0x32800aac,
+    0x6326f5fa, 0xe8733a4e, 0x70af1927, 0x17995cb0, 0x58498d8f, 0xd42ff46e, 0xe93431ec, 0xef5c8c83,
+    0x6704368b, 0xdaf29ca1, 0xe731977c, 0x81984f1e, 0xeaf9768e, 0x66a4d90f, 0x820cbc40, 0x750dc5a5,
+    0x07eede31, 0x17066a93, 0xcedcabf0, 0x3959bf6e, 0x15c87129, 0x76efa98f, 0xcbc544f4, 0xeb20a482,
+    0xebe31bce, 0xf82ea8c2, 0xdcf76db5, 0xaf051293, 0xbe684042, 0x874fd8fe, 0x91e8e8a3, 0xfb2ea252,
+    0x56af9bcb, 0xf085de3f, 0x9dcbb2bf, 0x6e9a2e7e, 0xab4b8d93, 0x96ced76e, 0x76adead4, 0x8088d992,
+    0xc4e8b0cd, 0xb340e006, 0xb9d3380a, 0x6fa21cb3, 0xb8d4f4ea, 0xbb2717dc, 0xe39d274c, 0x17c3beba,
+    0xb60f5495, 0x724b84dd, 0xd385207d, 0x2f1b57a8, 0x4fa50f13, 0x54256456, 0xa874d315, 0x8195e08b,
+    0x7c82d220, 0x1a75a5a0, 0x7c33628f, 0x9c3afba4, 0x025e653a, 0x82777aa9, 0xf13d530e, 0x104d7e06,
+    0x34a44c40, 0x552950d7, 0x81237ecb, 0xbbe08678, 0x2f4d472b, 0xd44be3e0, 0x32c4fad1, 0xc8a12956,
+    0xfa371237, 0x3978d35e, 0x917c3ac4, 0x33e39690, 0x03ceda7f, 0x12817e20, 0x2181d2e3, 0xd12d50c9,
+    0xa814dcd5, 0x8018e80a, 0x3cac192d, 0x7672f822, 0x3a4147a5, 0xa6992d29, 0x90855c2e, 0xa72c311d,
+    0x44c04673, 0x2fa9bb83, 0x391e6a09, 0x3967ecc1, 0xfa82ebe3, 0xec391c98, 0x681be110, 0xa8ab6c24,
+    0xe6cd91b2, 0x7e0dea15, 0xe6e5220f, 0x57448e5a, 0x884624a3, 0xfdde8623, 0xd84bf083, 0x63ebcf7a,
+    0x5b584853, 0x37f5ab4b, 0xf97478f8, 0x3b0680aa, 0xd100fa02, 0x69a5295f, 0xa74fb7d9, 0x9060b644,
+    0xf4f75f5c, 0x4192fb2a, 0x27cecafa, 0x71471e70, 0xdb4e48c4, 0xce4a16ef, 0xc804fb38, 0x958ed7c5,
+    0xb69bd0db, 0xb4d80dee, 0xdeb9f3ca, 0xcf03e32a, 0x162f15ab, 0x6c6de5d4, 0x64809ec5, 0xd9c464be,
+    0x00ba0155, 0x4e2d6e9a, 0x5f75a226, 0x2149422d, 0x760b30c0, 0xd11a33f7, 0x2b099404, 0x63d50b08,
+    0x7f61642d, 0x3dd05634, 0x8fa272ca, 0x05b1492d, 0xeb0d2f56, 0xde85c315, 0x92fe2b19, 0x9d831fcc,
+    0x8e5da4f7, 0x633a9641, 0xc1db3288, 0x5dd3b6ec, 0x4ead24d6, 0xfcb7f760, 0x73f73afb, 0x92cc0892,
+    0x6d02c35b, 0x13f643e9, 0x2b358895, 0xa98886ba, 0x900c5a4d, 0xd6530070, 0xfe975f21, 0xf6e59946,
+    0x16d8ded1, 0x3a9fe557, 0x230cd5c1, 0x30a10756, 0x5b9f4495, 0xf1b7a152, 0xe64a500a, 0x2561039a,
+    0x231f5b21, 0x7b98967a, 0x6cce2c7a, 0x007f3ac8, 0xb6e1baa3, 0xb05ba1eb, 0xaf3f5301, 0x9a4da804,
+    0x2cae8c55, 0x87267039, 0xcf529472, 0xf9380014, 0x186a594a, 0x5ac5f97b, 0xb39f4341, 0x738126bc,
+    0xed8cf18c, 0x1fe7fb70, 0x2921afd1, 0xf4ccb391, 0xbece3f34, 0x6dfd43d5, 0x0a582e46, 0x2c59ea5f,
+    0x50b831a0, 0xcb3430d0, 0xc749569c, 0x3797f9a5, 0xebe0a91e, 0x744f5ed2, 0xa33be2a9, 0x45138a59,
+    0x5b688334, 0x44f40fcd, 0x7786ff4e, 0x37c8d791, 0x4717f557, 0x8c76c2d9, 0x86492a1c, 0xc7950397,
+    0x45ffe8d0, 0xa287ab93, 0x10016d72, 0xf33142ab, 0xcbbac43a, 0xe7025ac8, 0xb7a34682, 0xc072e961,
+    0x077f42a3, 0x66659d5a, 0x9bd7346f, 0x12337e34, 0x389d6e77, 0xd5fce6da, 0x8fb28e54, 0xd8d441a5,
+    0x993fd351, 0x023cf595, 0x9b3952cf, 0x4e31c637, 0x0d751eaa, 0x2fad1e4c, 0xa42a2986, 0x3c59b4fc,
+    0xeb6d0cbe, 0x7380fe36, 0x6c37b5ac, 0x567fcdaa, 0xb1c1ba68, 0xebc20c44, 0x11a61541, 0xf5f80def,
+    0xbb868ec7, 0x76ccf211, 0x470e0941, 0xe76a790a, 0x93abb785, 0xa6bcd27c, 0x5538f06c, 0x6c320719,
+    0xa36858eb, 0x822fc6db, 0x4692db13, 0x881b4fed, 0x37427a63, 0x46737486, 0x95681249, 0x865c67a9,
+    0x6053f8c9, 0x8508b674, 0x0557d485, 0x683ce5ce, 0x5f6d7f3f, 0x3ed7b1a8, 0x10729a4e, 0x69e7450b,
+    0x7b0e0710, 0x78051fcf, 0xd3f97c04, 0xbedde533, 0x9b314c12, 0xca78cd5e, 0xd32384a6, 0x96f106cf,
+    0x066fd968, 0x43a2427f, 0x92fd9a95, 0xbf77f71b, 0x6af6fb7b, 0xab40687f, 0xb2de4d32, 0xc7b95ebc,
+    0x8848415d, 0x59a94672, 0xe3fb4b97, 0x0a9e0eab, 0xcdac63d0, 0xc9ecfcae, 0xd3d85156, 0x39e323b6,
+    0x940cbc87, 0xcac8d404, 0xa7354a96, 0x7a128707, 0x231a4d03, 0xa89b80b0, 0xd7a3a303, 0x1ad3c10b,
+    0x04c5250b, 0xe6f993b7, 0xf204920b, 0x7bff1536, 0xdeb7055f, 0x9643fb9f, 0x8ce3e6b8, 0xccded097,
+    0x6d57c082, 0xffa67c6c, 0xc1232e5c, 0x388865ad, 0xb21aa985, 0x75b1ff5c, 0x2665221c, 0xd59c1b8d,
+    0xa3ecaa39, 0x4c3f1b96, 0x2f4b320d, 0x81b4db5f, 0x2db4f8ec, 0x71ca6486, 0xaa120aed, 0x7b81077d,
+    0x46e95522, 0x885ad092, 0x40bcb9ab, 0x5600bb54, 0x3360c2e3, 0xf4c3c9fb, 0x9c1df467, 0x1f2d924d,
+    0x1331ad8c, 0x5e7b1c0c, 0x4bfa4ac1, 0x0ed6419d, 0x7c77b608, 0x238c26d4, 0x8fcfe4a4, 0xb546d955,
+    0x7c7ea23f, 0x984eacda, 0xd2bc4cb1, 0xc0f093f8, 0xd8c353e8, 0x22a60663, 0xcfa5d8d3, 0xaffe637c,
+    0xe76b3d4d, 0x5e6ed0f1, 0x4c47dd89, 0xf5917f5d, 0x2ff491dc, 0xca16914c, 0xc70a79c2, 0x14ed4fb0,
+    0xc3c18232, 0x999196c4, 0x85a54f76, 0xf02c597d, 0x9e020063, 0xe4ad7dff, 0x26a26da7, 0x262dae83,
+    0x38e09379, 0x0871bb24, 0x6036bea0, 0x1c5fb935, 0xcf85f0e5, 0xdae996a0, 0x7c7939d7, 0x6c834f31,
+    0x8d5cfeec, 0x474f7a23, 0xe36efc9f, 0x665914f3, 0xe780684e, 0xb3f618e0, 0x91d9ac56, 0xfc7aee5c,
+    0xf9a8b80b, 0xe4663b19, 0xab2a0022, 0xb536f928, 0xc33bc493, 0xf6bd9ea1, 0x85024b3e, 0x5f319d6c,
+    0x58af2793, 0x9eb76eb3, 0xd62664b9, 0x3d2359e8, 0x47815f7f, 0x1076118f, 0xa600c710, 0x61a1a5b7,
+    0x6e166942, 0xf31cb6d3, 0xf366b6b9, 0xcea0f092, 0x6bf8fa32, 0xd8e335f3, 0x482db85b, 0x99dccb74,
+    0x00000000,
+    0xe1674198, 0xab2020b9, 0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346,
+    0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000004742\
+                         84397516047136454946754595585670566993857190463750305618264096412179005177856 */
+  { 0x00000000,
+    0x28530e8c, 0x07d87d26, 0x1e4f608d, 0x1cfe3e4e, 0x96536f9b, 0x75e922ef, 0x8fdb01f2, 0xd44d899c,
+    0x1f7bfc82, 0x4cff52c2, 0x46e4ee19, 0x3eaf19b5, 0xcffffed1, 0x0b01a216, 0xd0d3b183, 0x2bb32d00,
+    0x3e6a901d, 0xb0e16e00, 0x5cb10af7, 0x12478eb1, 0xe3874bda, 0xf0c60121, 0xb031a92f, 0xe69486d1,
+    0x3d36d7b9, 0x20ebacdc, 0x86a98438, 0x5e295d47, 0xc011c468, 0xef5c815e, 0xf34f8caa, 0x438c4de0,
+    0x857921b5, 0x9a86563d, 0x19915dc5, 0xd9dcbb0d, 0x87fbf113, 0xe7c0ddb7, 0x760a7964, 0xa5cc80ff,
+    0x36aac05c, 0x25ba5815, 0xb018c5e5, 0xdd382f20, 0x35228c72, 0xc251ccd1, 0x773323ee, 0x5a6024e5,
+    0x872037a9, 0xc22b3dc4, 0x53712e63, 0xe0f77c5e, 0x45422c7d, 0x5000bf02, 0xe749c1e1, 0x3d4171c0,
+    0xb545503f, 0x4d227491, 0xd9f5a29d, 0x6e502976, 0xe447c2b4, 0xcdad041c, 0xc7e8c268, 0x1f304582,
+    0x01c03da4, 0xab901386, 0xffb4a6cd, 0xdb85610c, 0x14777604, 0xdc91d7a4, 0x96d1ff09, 0x615b6c8c,
+    0x2b0c0728, 0x1a0f8318, 0x2f6d8b98, 0x26f11384, 0x45a46383, 0x89942a8f, 0xb2657d6c, 0x30a55b24,
+    0x5d8f3d75, 0x848ebcc7, 0x951e55b9, 0x6a5daf4d, 0x8bbb2c2b, 0x52d59384, 0xb77cc8ec, 0x55d8807c,
+    0x70d5c9e0, 0x243131f3, 0x7c426d36, 0x83640bc0, 0x453dafe2, 0x6dc7431a, 0x28414d91, 0xe07e63bd,
+    0xb39cf436, 0xb1b0cd36, 0x191b3409, 0xc65e6098, 0x8145f38c, 0xbfda6de6, 0x15ccd27b, 0x1dcf9bb8,
+    0x6d9972a8, 0x9aa6b846, 0x8c011cf6, 0x2ede46a5, 0xf7c14edb, 0x6019edbd, 0xd85fe065, 0x4009e487,
+    0x0844f2a6, 0x9bd350f3, 0x5950cdfa, 0xc1e01e3d, 0xd1ed87b3, 0x10c811fa, 0x3a001e14, 0x97b155fe,
+    0x44c6aeee, 0x1dff7bc7, 0xe1a668b7, 0xb3b93f6c, 0x1b1ab417, 0x36c57cca, 0x66030908, 0x4b210c04,
+    0x8428df22, 0xbcbbdd09, 0x1e2ae45a, 0x65ebc9be, 0xa0a4022f, 0x9c695974, 0x8325866b, 0xa7cfb029,
+    0x21916d5e, 0x8c37c744, 0xfea36b66, 0xbeff6fe2, 0xa4acd0c1, 0x376ac7cd, 0x30855fb1, 0x608a7086,
+    0xb83b84b6, 0x11d23679, 0xe7e3e556, 0x16c920e6, 0xed65f10f, 0x8d5c4d09, 0x54f88513, 0x0b730de9,
+    0xbca37524, 0x9ab2a0c5, 0x884ab0f1, 0xbfee093e, 0xb78b33c2, 0x1d1f7acf, 0x813d7794, 0x98e4085d,
+    0x130df6f2, 0x5cc0a543, 0xf6b18a5b, 0xdc96bb83, 0xbf0cff3f, 0xe05740ce, 0x00d4d1ea, 0x2fcc8d63,
+    0x7175d177, 0x7863a3e0, 0x7f2c4653, 0x6d09bdda, 0x088e0b6d, 0x591a2458, 0x144a79a8, 0x0e0de1d7,
+    0x40b239ff, 0xdef55a35, 0x2a76203f, 0xc2e179c2, 0xe7caf1fa, 0x64e59f42, 0xfd7aedd2, 0x5a3967f3,
+    0x7e265ab0, 0xa85ec55d, 0xe970401c, 0x6a8c3b32, 0x8ad8d110, 0x12c51367, 0x90c948fa, 0xd0664f44,
+    0xf9e4af83, 0x94d07671, 0xf4d3b93d, 0x3c0c8ace, 0x017e0ab9, 0x20e6730e, 0x697a0c1b, 0x6e53db73,
+    0xce15c0f6, 0x07769897, 0x02cf7f74, 0xf42d7951, 0x95c1b6c5, 0xc015f191, 0x58b809d5, 0x3651f509,
+    0x21e40478, 0xfb40e186, 0xee743b71, 0x50936d83, 0xb329e0a4, 0xe0328a4c, 0x433cd4b1, 0x9d96c059,
+    0x45aa483d, 0x665db7f6, 0xa06bd7c9, 0x4e3cd3ea, 0x99f4fffe, 0x8be1c229, 0x2c966b71, 0x41c101c8,
+    0x9e5c9816, 0xb585ce18, 0xfe639cd3, 0x470469bc, 0x6ab2f8ab, 0xfeabb8e9, 0x6909ef05, 0x2607039b,
+    0x115c5f0f, 0x9b94fa48, 0x0db5018b, 0xcdf17d52, 0x57eb34f8, 0x7a1d06b1, 0x38fd970c, 0x593cbc36,
+    0x759ea61b, 0xd2c38a9e, 0x6e3b64f0, 0x006de2bf, 0x20e7c168, 0x2e48c0a2, 0xfe7feb1d, 0x98a6ee5d,
+    0xd881ec8f, 0x41e2254c, 0xd3dbe31f, 0xb6d5974c, 0x3197c433, 0xabcaf731, 0xe37ed764, 0x02e40bb2,
+    0x795bad96, 0x4f76b2ca, 0xce942682, 0x1e996979, 0x769a6309, 0x5b36bdde, 0x38dd380d, 0x4d426a00,
+    0x778a18b8, 0x23b461ff, 0x9ddc8492, 0x54307e44, 0x012a68df, 0xa974dc11, 0x41d5f814, 0x7b0ee3b7,
+    0x954dd74f, 0xadbc6bce, 0xa07ae589, 0x76925e47, 0xe5a62e2d, 0xf10b9d3d, 0xf780765e, 0x22d32fdc,
+    0x05abccbf, 0x4f3b20dd, 0x0cf7e8d0, 0x0b9a6342, 0xf1979ff3, 0x765dc8f9, 0x0469f4d9, 0xaa62478a,
+    0xdc85fd99, 0xdae711a6, 0x200dc817, 0x3215d39e, 0x7e8f0537, 0x316c6f9d, 0x5a5c2b97, 0x4488b07a,
+    0xaaafc6b6, 0xd7f1742e, 0x19331178, 0x46eac9b0, 0x16a1fc27, 0x59f4e0ea, 0x760946fc, 0x89efea7a,
+    0x440ca840, 0x24fe0e1b, 0xc640cfc0, 0x03a454eb, 0x9564bb6d, 0x9a195f5f, 0x748122f8, 0xff007593,
+    0x18dbb10b, 0x59300bc5, 0xcf0c9fdb, 0x402dd06d, 0xbca66317, 0x9194919c, 0x7f4a4fda, 0x87c763a6,
+    0xb5975725, 0xbc0d46df, 0x8a4e5656, 0x5c86cafb, 0xb4006413, 0x2f3a0b07, 0x06849b81, 0x1830ed51,
+    0x8c716858, 0x76bccfbd, 0x05814bfa, 0xace467e3, 0x31dbc01b, 0xba68f348, 0x9fdea1f7, 0x943cf403,
+    0x4b254207, 0xfe23ef18, 0x3950ddf1, 0x2b1a097e, 0x603c9016, 0x75080583, 0x5b57e63f, 0xa1a29c16,
+    0xddaa5a35, 0xd0e9ce27, 0xf0fcd0d4, 0xb677964c, 0x159dda98, 0x4a48cbfa, 0x9ed24b06, 0x68eac2ab,
+    0xa097115d, 0x138a8460, 0xae44be5c, 0x0029c34d, 0xf3b7e2f2, 0x01cbbdc1, 0xcc6e2142, 0xd63ac6bc,
+    0x5e158a7c, 0x825a6e58, 0xea5ba60f, 0x61f46f03, 0x5bcf6bd6, 0xfde9af40, 0x8f11c397, 0xfa52a549,
+    0xf93f8bd5, 0x93dacca2, 0x8bd70e42, 0xe8cdd474, 0xb7ff20fb, 0xcf72aaf6, 0xc0ae1173, 0xd36eed18,
+    0xb32a6d41, 0xc335b43e, 0x737734be, 0x97b526f0, 0xa8e727a2, 0x31af3201, 0x5cde80ff, 0xf8871182,
+    0xdce2240b, 0x8b47d0dc, 0xd029904c, 0x9994b403, 0xaf5adb54, 0x01d7a725, 0x1d3416d5, 0x9a16be18,
+    0xd0ad082b, 0xbb7482df, 0xb83a437d, 0x0dfbc6b6, 0x74495ef5, 0xebfd3d33, 0xc734e0aa, 0x6ae89fc5,
+    0x887b9ec5, 0x6f5f35d3, 0xa467f6cc, 0xc548b343, 0xbfaf9e1b, 0xbf175cc4, 0xb0e46835, 0xf48b1772,
+    0xcd68db87, 0x760fa2ac, 0x133ee34d, 0xfa74cbb7, 0x9b3168a8, 0xa7e67ac5, 0xf5684c16, 0x9da05c19,
+    0xef48c32b, 0x23154efd, 0x57e6cd27, 0xa33e5c1e, 0x31a35a0a, 0x166d49e3, 0x983ff84f, 0xdb4defd4,
+    0xbef938e5, 0x7bcfa237, 0x1be70628, 0x3e7fa8cd, 0x60e959ea, 0xb7469612, 0x30a0bc80, 0x96bf6b65,
+    0xbf032f91, 0xfef2564f, 0xf8eb8bda, 0x58e70131, 0xfafbe0af, 0xfe594910, 0xe2270240, 0xdff1dedc,
+    0x73231dd0, 0x1054dd0b, 0x1b3661f9, 0x9d945eb2, 0xb6df8be5, 0xbf75c3a1, 0xc3b716e7, 0x8c553533,
+    0x55fdc19a, 0x39c6be97, 0xa8d77295, 0x42a91215, 0x98e366f8, 0x8f9e8edd, 0xf7a8aeba, 0xa9754a1b,
+    0x22c4eb1e, 0xfc45f7e0, 0xa6b78558, 0xdd91c5b8, 0x628d34ff, 0x8a1cf6b5, 0xc7c4d2e2, 0x235db101,
+    0x7176302e, 0x08c7223b, 0x04d7ffe4, 0xfc0cbc4d, 0x1c649864, 0x99253071, 0xe4bbcb88, 0x0e9801ad,
+    0xd3e81605, 0x10d5638b, 0x4aab5c6b, 0x4bf29453, 0x8aba4fe6, 0xe3ecb948, 0x21593fad, 0xfa80498d,
+    0xf3dc1341, 0x4081804e, 0xa92942d7, 0x3a603ab2, 0xcd31d2ec, 0x9ad7f146, 0x032b7259, 0x9b9d7314,
+    0xd58ee515, 0x1d747695, 0x18b92866, 0x0aa6750c, 0x87e1239a, 0x5864fd90, 0x3c98d171, 0xf25bedd6,
+    0xeb1cd1b3, 0xa089806e, 0xdd6b5824, 0x0fc550ac, 0x60bde3ab, 0x1baae107, 0xb3ac00ae, 0x8db30358,
+    0xebd456d6, 0x039a2494, 0xc95ca4ae, 0xcf00d2c9, 0xe77727e1, 0x563e5b21, 0x5390fd77, 0xadf2b38c,
+    0xc9e9c4b7, 0x7196286e, 0x0194b225, 0xf7e5acd1, 0x36eca86c, 0x345fab8f, 0x9afee9ef, 0x82341bb6,
+    0xb240615d, 0x8be8da88, 0xde099052, 0x9db93325, 0x0b5296e6, 0xec656b6a, 0x9186b0af, 0xac5c26ae,
+    0x3ab755da, 0x1a19b5cb, 0xffd7fd73, 0x57abc8f5, 0x3a1bac1d, 0xf215b703, 0x0c6b2799, 0x31927a61,
+    0xed3283a6, 0x18d9240d, 0xd3549e09, 0x1714e1ce, 0xf06d0258, 0x64992807, 0x7dcb07ac, 0xdabe12a3,
+    0xe9b4d601, 0x1b0caabb, 0x566ebc5c, 0x5e551ac8, 0x3248d45b, 0xc17c87dc, 0xf08a8fc9, 0xb70f3024,
+    0x472c79cd, 0xf38b936d, 0x59a9b299, 0x75f4eb78, 0x08a85cb6, 0x5744a4d0, 0xd30ecbe2, 0xf80edf4d,
+    0x28ef13c1, 0xba5a8e79, 0x696a108c, 0x2e720f5b, 0x32b90aea, 0xb9d1a5c6, 0xc2e5f7f3, 0x1e4cf7dd,
+    0xd99d7152, 0x4ad40df0, 0x8cbc11d8, 0x01ce2c33, 0xd3569a5e, 0xd9ae3492, 0x06d7035b, 0x834ce02c,
+    0x21b1b28a, 0x42f63810, 0x53918a0d, 0xcaf9ca10, 0x26008926, 0xf7a199c6, 0xab1e2d27, 0x3548683e,
+    0x5102ec90, 0x69e226c7, 0x1856d5aa, 0x911fd6e7, 0x4210154d, 0x6d12d6b6, 0x1df719a5, 0xbe8fd060,
+    0x11070240, 0x11c553bc, 0xa3b41489, 0x24432881, 0x345967cc, 0xae04c258, 0xcb3ac68c, 0x72f4cdb8,
+    0xb76529bc, 0xe2ee215e, 0x4f07d854, 0x85508258, 0x228f71f0, 0x993364c4, 0xa596fb8e, 0xe3d096cc,
+    0x2ab1498b, 0x3304b9a3, 0x78d1a545, 0x96c82533, 0xf8afee80, 0x538cf26d, 0x7d3d908a, 0x512b0b9e,
+    0x0fddaab0, 0x91eb9354, 0x9faba4d9, 0xa7055c2a, 0x4b2ae43e, 0x97dd33e0, 0xf3628fad, 0x9ce9f55e,
+    0x908edabb, 0x4b1e2665, 0xfd0e1e6c, 0xe9b8a87f, 0x5f364e43, 0xb45f6898, 0x6d7b678d, 0x4cc427ba,
+    0x32bc36c9, 0x4f4a6683, 0x5d3b9184, 0x87b94c3c, 0x5377c063, 0x7dc3948d, 0xe2e3c367, 0xa4806546,
+    0x2a5fe660, 0xb1549675, 0xbbdb7e37, 0x7fd81837, 0x989613fa, 0xb687e92d, 0x5f76a641, 0x6ee7aeb4,
+    0xd550ec86, 0xe052b0bd, 0x89fadd1d, 0xeb751715, 0xcc6994a2, 0x1d7a91e4, 0x7c366a87, 0x9e4a9b9a,
+    0xda3f5c34, 0x240ef266, 0x5ef12eae, 0x91cd1ca4, 0x41857707, 0x0a2e6081, 0xf9368f95, 0xa8f8aae8,
+    0x94da8f8c, 0xe99778a3, 0x686500de, 0xe846f38e, 0x79dcf544, 0xf2bc4922, 0x694accb3, 0x50fd18de,
+    0xb9944cbf, 0xc630907c, 0xfda49873, 0x6e4c129b, 0xbc5b7132, 0x95fd5349, 0x15a48467, 0xb5be37f2,
+    0xfe0c4d93, 0x4abe8a3a, 0x6416e7fe, 0x38bda7ca, 0xa0b7d533, 0x3b105ef6, 0x95964808, 0x7fefb56c,
+    0x459b77d8, 0x4e0b6a1d, 0x395589d4, 0x3b71c905, 0xc0bb706d, 0x76f65282, 0xcca709d4, 0xdbc72a60,
+    0xc177db2f, 0xfd3a0104, 0x84e0210f, 0x4c86a3fc, 0x07fa8f1c, 0x5fcaf976, 0x2e3591d4, 0x4a2353e5,
+    0xa64495fd, 0x1b694efd, 0x087a4e85, 0x3fb71f64, 0x54bff0b4, 0xc79d6bf4, 0xa2eab139, 0x64660d07,
+    0x2c51f1a2, 0x967dbaf4, 0xc88689bc, 0xcbbc9873, 0x766d760d, 0x11ed2937, 0x7ead9d11, 0x6be4fcfe,
+    0x71537a7a, 0xf9e25c5d, 0x579375f1, 0x530cb838, 0xeca809f2, 0x5466f397, 0x7b9cc30d, 0x4464382f,
+    0x48f015db, 0x6f90ade9, 0x49ef4190, 0xc31e9721, 0x15bdea09, 0x4c01bbc4, 0x42492137, 0xe7cdaa7d,
+    0x32ee39c3, 0x2b67eb71, 0xfc88a8a7, 0x25bd8000, 0xd9ede092, 0x8ce21479, 0x4fa9005d, 0x8814daeb,
+    0x2e5c1bd6, 0x353d748e, 0xae1af644, 0x7deba8da, 0xe9dda5f3, 0x01809f83, 0x0f811d81, 0xea96bcfc,
+    0x4431858a, 0xb1916143, 0x96303141, 0xe90f0713, 0x007edb39, 0x0ff78893, 0xd4ce4ab2, 0x0d57669f,
+    0x15a9e08f, 0x62402dcf, 0xaf125162, 0x1ac4f979, 0x6e71cb86, 0x69193d7d, 0x71849523, 0x3a47bc2e,
+    0x88a4c158, 0x4580a7db, 0xf8573ab0, 0x831b8df9, 0x344995fb, 0x94d41442, 0x2fcc77c0, 0xf2e978dc,
+    0xca90a0d7, 0x3afd5fe4, 0xdbe788d7, 0x2680f7b0, 0xdda62b7c, 0x3032f794, 0x81210d22, 0x2684f93a,
+    0xb26802c9, 0x9870a2ca, 0xc310900f, 0xf6a0ee52, 0x965e7f98, 0x1be8ec18, 0x2b833840, 0x7615f46b,
+    0xb079232a, 0x676d877d, 0x7b4a151e, 0x060dc80b, 0xdb750210, 0xd1325b04, 0xf12eca2c, 0xca27e490,
+    0xe12ff0c2, 0x03a9b0a3, 0x57d3fd71, 0x26608199, 0xd7712ddc, 0x4c06ce3d, 0xe693dfa2, 0x52726ba4,
+    0x9ab9ccf1, 0xb23dcf4c, 0x1ac5fb7e, 0x187e2b35, 0xcdfa5e3e, 0x8e4e170f, 0xf408a5e6, 0x8f8d7859,
+    0x408a7fc6, 0x3fc22b1d, 0x5848d172, 0xb0472584, 0xc0568285, 0x3d4af062, 0xffb36c6e, 0x311ec45d,
+    0xd83cfd66, 0x35b1034a, 0x7c3be9f3, 0x27e4c005, 0x5420d395, 0xb5225950, 0xbeb3441e, 0xd43eccf9,
+    0xf657b058, 0x7415e39c, 0x6b8ebd82, 0xec1bac25, 0x8290e15b, 0x8172125c, 0x51166c42, 0x26c18e15,
+    0x87c02694, 0x258109d8, 0x3f127fe1, 0xe5087847, 0x5019f3f2, 0x2e187f93, 0x15d03cd9, 0xd89ad858,
+    0x9d770ee1, 0x7be37c43, 0xfcb5c7fd, 0x37f4ded5, 0xb0450829, 0xa548c109, 0xc236fc82, 0xa63d4097,
+    0xadd1ec50, 0x5f6f1a91, 0x322defbf, 0xac73ea67, 0x33c99c88, 0x4744eb81, 0xd055308d, 0x4c7fb7a2,
+    0x71fcf34a, 0x6529e19c, 0x64e40a05, 0x00025bf5, 0x46299630, 0x2d5e43f5, 0xcb2c1787, 0x7ea144a1,
+    0xd4b074b4, 0x6ca0b8ef, 0xf0047604, 0xa39c41e7, 0x9563d857, 0x8b5ae60a, 0x7ee8a37e, 0xc2815558,
+    0x5c4b1d42, 0x013dd32c, 0xf4da9411, 0xed4836aa, 0x51c9a682, 0x75c6c13e, 0xd8802df9, 0x4b7c5871,
+    0xab7e2e83, 0x12d147a2, 0xb5a4f6a0, 0xd386673f, 0xa7aa8c28, 0x34bc7f6a, 0x55aa2997, 0x0f22b071,
+    0xe81e4cdc, 0xaf54eba6, 0xba8881ea, 0xf9d03049, 0x95a1c8d7, 0x796c5268, 0xe3726415, 0x5090c2fd,
+    0x2e2cfd21, 0x221f5c63, 0x56a6dc79, 0x33e594a9, 0x05b2fbb2, 0x96e155e9, 0xaf0d9035, 0xb1c0823f,
+    0xea67a798, 0x057c4057, 0x0e79d966, 0x8de1f9a4, 0xf38156b7, 0x04458fec, 0x83ff761d, 0xb16d3242,
+    0x2cedd707, 0xcffec61f, 0x94f81636, 0x1de99c3c, 0x593c839d, 0x382cbfd9, 0x370d8159, 0xd914f9a4,
+    0x6928e7db, 0xb2bdd7a5, 0x11ec6a20, 0x0e2f166b, 0x68693e4f, 0xb8815182, 0x6a0a6599, 0x6cca8562,
+    0xc6f2fdcd, 0x3cd25b44, 0x80fa4295, 0x572d5216, 0x1412f2a9, 0x59751c44, 0x470fedf3, 0x42d482d1,
+    0x19cba9e9, 0xe5933f67, 0x5b8ed83e, 0x99479eb9, 0x3ee03299, 0x95cb6e4f, 0xe96fded3, 0x7622fb7b,
+    0x7f170cc7, 0x6f22699a, 0xd9e40a18, 0xe70f60da, 0xdea1de60, 0x6aae3cff, 0x9f551e68, 0x887cdd3d,
+    0xfc69aa69, 0xb94b0fb3, 0x60c5dfa1, 0x8ef3f6b1, 0x2ffb0c73, 0xf8b5a1ce, 0x8ac92b57, 0xeae22f23,
+    0x567e6c15, 0x47e47eab, 0xc87552e6, 0x9675e3ac, 0x0ab68753, 0xa27b09f3, 0xb253f6df, 0x3a1202e1,
+    0x6a5603f7, 0x2bc8c268, 0xec9233b8, 0xe4e4ae9a, 0x678cdbb5, 0x994c0847, 0xe974f83a, 0x076b9923,
+    0xf789aa11, 0x3253659e, 0x322c73cd, 0x243983af, 0x8522b701, 0xf76716d4, 0x037f2658, 0x9731a2c6,
+    0x3c3ee30a, 0xf2c21408, 0x8c29f501, 0xed325568, 0xc1bf9c33, 0xa96d2dc2, 0x4d61f0fe, 0xccb9c127,
+    0xacecacc9, 0x6bf22a62, 0x5956285d, 0xef2c2598, 0x12a79482, 0xacbd7457, 0x6d0447b6, 0xc67752a4,
+    0x00000000,
+    0xf0b3a0cb, 0xd590105c, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3,
+    0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000002371\
+                         42198758023568227473377297792835283496928595231875152809132048206089502588928 */
+  { 0x00000000,
+    0xae504399, 0x508441c5, 0x0149a585, 0x8bb7ee64, 0x38e9fc6f, 0x67ff0646, 0x07f8165c, 0xf2ca87af,
+    0xa6ceda25, 0xb0b5d057, 0x2e20b68b, 0xcfaa8c30, 0x66f4af43, 0xe68dbd0f, 0x42241de3, 0x59b5b400,
+    0x2000cef4, 0xee04cf82, 0xb9148ae6, 0x39094909, 0x14115fce, 0xcdba619d, 0x4c4b230d, 0x47d5d0d4,
+    0x854b7e8a, 0xcefd9f26, 0x06034660, 0xc3171009, 0x5bef5244, 0x498b8a33, 0x95296f8a, 0x4a37d274,
+    0x43441323, 0x64ecc368, 0xfaf217ae, 0x3bde053a, 0x41eda45f, 0xeff49d65, 0x87139b58, 0xc598510b,
+    0xf47914d6, 0xdd2db97e, 0xcfa81029, 0x6c04136b, 0x0d57b775, 0x4cc5ec5d, 0xb3e4fd90, 0x79af5c23,
+    0x7284444e, 0xd8f24dbb, 0xa460aa92, 0x455d5ca8, 0x6aabaa21, 0xc5bea609, 0xd4aba6f9, 0x1b4718be,
+    0x519c46e9, 0xa2b08ae6, 0x879426de, 0xd2183670, 0xe6a83197, 0xebfe884a, 0xe1442f5f, 0x318cab59,
+    0x2aec0d4a, 0x5c931fbe, 0x2eabe379, 0xb99c0a4c, 0xbf051b98, 0xef21d9ed, 0x3340b944, 0x79bf6789,
+    0x6238a58f, 0xb49de3ba, 0xe019f9d2, 0x023cfd03, 0x338b72f4, 0x44bb26be, 0xbbafae2e, 0x88545c7d,
+    0x53ae28f3, 0x0ee9c308, 0x7a3cb8ba, 0x82936a7f, 0x9fd34658, 0x12601c59, 0x9d9bb0d4, 0xa501ea66,
+    0xd3e3a856, 0x20c50294, 0x0a6732ba, 0x21413911, 0x0fca8f6a, 0x4d6d7a13, 0x26e14b53, 0xb0174414,
+    0xc1a1f5b0, 0x6e638d8d, 0x7473329d, 0x59244dcd, 0x152d20c1, 0x7064f9c3, 0xf85675b2, 0x85357c89,
+    0xb445b57a, 0xb07bfe28, 0x5736ba27, 0x9e1ce3aa, 0xff3e179a, 0xd7ce6d00, 0x80e902c6, 0x158b5721,
+    0x00ae4c42, 0xf71407fa, 0xa2244465, 0xd60d23c4, 0x0101481e, 0x63b11cc6, 0xb986e5f4, 0x49921d18,
+    0x973b18d0, 0xb6d51809, 0xf53e9126, 0x6df49f37, 0xb7826d95, 0x29de66e2, 0x0555b29f, 0xbb52546d,
+    0x449cf45f, 0xcbfb5e95, 0xd88b4eb5, 0xe5163d44, 0x4e84ad81, 0x3aa28f95, 0xa89c20f0, 0xfab15270,
+    0xdbf254cc, 0x401adc4d, 0x02c6f6af, 0x78ce1dab, 0x3fd4746f, 0x6e7ffb1f, 0xb4792e72, 0x1584c03d,
+    0xb6cdec8b, 0x3a7f6ffb, 0x06c39e75, 0xe4a0f5f2, 0x6d361498, 0x0975dcca, 0x62039f89, 0xd73775ed,
+    0x9fb6033c, 0x2a8617c6, 0xa2cf9cfd, 0x0e8a62b7, 0x30712283, 0xed1ba6fc, 0x4d1c76ea, 0x427616cc,
+    0xf76ae72f, 0x5b676cc6, 0x8ac70ca9, 0x7895bc96, 0x939d8d2d, 0x7ea3474c, 0x6d3ec150, 0x479d6acf,
+    0xa7a5d001, 0x27e566cc, 0x6ab199a5, 0x2c745a56, 0x57a08543, 0x04b261c8, 0xeea816bb, 0xd5b22f2b,
+    0xb07a9713, 0x7ddbc541, 0x8c8c0a62, 0x495adb59, 0x9a5bf2c9, 0x9d672da8, 0x97bce6f4, 0x6a6a7232,
+    0x0115ba0e, 0xf0691790, 0x77190019, 0x10e7f4e5, 0xa28eee6e, 0xb2139092, 0x2e84477a, 0xa0164983,
+    0x33e71d4f, 0xff1d9aeb, 0x24ba621c, 0x3c727171, 0xf923aceb, 0x2f3113a2, 0x7e8d28ff, 0x48ea960e,
+    0xe38f2e6a, 0xeba26c9e, 0x3108f834, 0xf4141cb0, 0x54d888ea, 0xe0d2822e, 0xce01e7e5, 0xd150fbe2,
+    0xf73a093c, 0x5d842dfd, 0xdef29946, 0xfeb53dc2, 0x5f9a08c3, 0x5ca8f8f6, 0xefe66b15, 0x47bf416b,
+    0x9d050aa7, 0x06691702, 0x7556c3b8, 0xc83b4569, 0x1dd6698a, 0x5b1eb0c3, 0x676a6e36, 0x9f955384,
+    0xfabee3e7, 0xf9ab2b67, 0x630ebf36, 0x998005d9, 0xb3ab6f27, 0xac466dad, 0xc827383a, 0x8f56fb03,
+    0xc8d98405, 0x1a1abba7, 0xae4891c9, 0x3d0084ed, 0x152eb340, 0x63f73ce8, 0x29e0f1b9, 0x6d9f3982,
+    0xbb0dfaab, 0xa2b55b87, 0x07472172, 0xeeb9fbb4, 0x44753b3f, 0xd397802c, 0x68b628be, 0x401867b3,
+    0x314524b0, 0x4c650504, 0x0376d167, 0x5455cd1b, 0x305e7896, 0x75c4db76, 0x99acf418, 0x7163700d,
+    0xac691218, 0x805a9c87, 0xdea41bd7, 0xee1fb73a, 0xcc95e65f, 0xe77c232e, 0x847babe3, 0x51e1d3a5,
+    0x6eb4ae77, 0xc58b6e12, 0xbcfc66ae, 0x5169b0bf, 0xf8e75a10, 0x458f2b59, 0x0e8766e0, 0xbedef325,
+    0x4b6d72ea, 0xd1dd625a, 0x2e6fd65e, 0x5aaa8223, 0xbbb94737, 0x4ec766aa, 0xe62dbc66, 0xf4ddd501,
+    0xfe2ed145, 0xf14ae2a3, 0xa3871775, 0x3c307616, 0x82d6dad6, 0xd3ada314, 0x874d867d, 0xcd90f439,
+    0xa0961fb5, 0x03a2b66e, 0xa7be64f4, 0x61f3ba35, 0x2084b747, 0x3afcfd91, 0x8f023090, 0x0130a433,
+    0x5de1cafa, 0xfeab8106, 0xf7a4f590, 0x22012506, 0x76c356c2, 0x99b954af, 0x38e6f2b0, 0x485309eb,
+    0xfa2babfb, 0xd6393f1a, 0x4709dbce, 0x6c056de6, 0x4e54fd74, 0x0bdc20d4, 0x91c3423f, 0x07ca70c5,
+    0x451a3ccf, 0xc1f16d93, 0x912af1d2, 0xd5a12a10, 0xafaa0797, 0x7740f45c, 0x8dc6adc5, 0xf3ec541f,
+    0xf9c99347, 0x041e19e4, 0xc719a0e9, 0xb095feaf, 0xadc42d99, 0xf005f04e, 0x2a1bda14, 0x02d40db4,
+    0xb5bd16a7, 0x0ca1eeda, 0x18f90a2b, 0x734c4fcc, 0x6044edde, 0x5c95a398, 0xbf3748ca, 0x2d352515,
+    0x7f81f0d7, 0xd53523f6, 0xb7ddfe5a, 0xbbe36d04, 0x2712fa23, 0x1125f9b2, 0xf609c201, 0x9de776b0,
+    0x42593027, 0x10a17a37, 0xa9508f95, 0xa180bd6e, 0x05fd00c7, 0x53237a61, 0xfb693552, 0x09f486e7,
+    0x0371d7fb, 0xc2b2c505, 0x5f6c799c, 0xe2c6640b, 0x47c6968a, 0xea45b523, 0x753eac77, 0xffcff7a5,
+    0xe6270d4b, 0xe247bdd8, 0xfba03590, 0x66164a00, 0xfa2c6840, 0x8b1bb4f8, 0x689f2507, 0xeee5f2fb,
+    0xf67f6483, 0x3a18bd72, 0xf3fea31a, 0xfd84c5ab, 0x9a065b3d, 0xbdfca4d0, 0x3ff5fc06, 0x8c82b761,
+    0x021e1d26, 0x0363a38a, 0xf32d5b57, 0x35e165ec, 0xb3c03102, 0x3b85c95e, 0x4b1c9eb1, 0xad1e28b8,
+    0x40cfb377, 0x9e4532db, 0xf00942b3, 0xda62fdc9, 0x1b65ce37, 0x79e5f789, 0xc15787d7, 0xc6b67a2c,
+    0x93c2bd39, 0x934cbbc9, 0x31c2fc30, 0xb9fd8537, 0xfa096d1f, 0xa317cf71, 0xd7ee4348, 0x167810d4,
+    0xfce95d0a, 0x1d98edb3, 0x564a2806, 0xe18eb317, 0xb0e61429, 0x51a7004f, 0x77b0c49f, 0xc4407088,
+    0x9ebb3b07, 0x4346cfd1, 0x749efa0c, 0x6fb2f391, 0x3d42b9a2, 0xdebf87b0, 0x62999f8f, 0xabd7dcda,
+    0x2e7e7ad4, 0x1f219460, 0x0415fb4e, 0xaaf74582, 0x94e07d90, 0x3e2319c0, 0xffb4a413, 0x5d13abfa,
+    0x7de1865b, 0x96696355, 0xaa9b6971, 0xcb9823d6, 0x8cf3239e, 0x2ef50820, 0xbe112d0a, 0xe2c25107,
+    0x5a63ad14, 0xe0e72d61, 0x6dd9145c, 0xb28a2ce5, 0xfe29b762, 0x86a03c1f, 0x9b61d305, 0x35ffbe3d,
+    0x832a0427, 0xfb95d252, 0xa8ba47fc, 0x90937752, 0x4abf0485, 0xd08e65e5, 0x7e0c9f78, 0x029c73bd,
+    0x8558cfe1, 0x463607ce, 0x8f5e00fd, 0xce60ae81, 0x757a4ef6, 0x1f69d8f0, 0x22b1cf18, 0xcab205be,
+    0xcd22d85a, 0xfe4f610b, 0xbc1cd7b6, 0x21965198, 0x3a43d45b, 0xe9ae867e, 0x47a4f8d3, 0x17498735,
+    0x50d5d4de, 0xf3619e31, 0xbd14cc88, 0xc9f92007, 0xd3579caf, 0xa5f7ecfd, 0x46922573, 0xc6a53f0a,
+    0xc2a9ff45, 0xa46bfaa7, 0x4ad82dd0, 0x58fcbec1, 0xe9d8501f, 0xbd659caa, 0x738739dd, 0x6426da38,
+    0xda6f0290, 0x032ad755, 0x6a4ba2c9, 0xecd8b943, 0x755bdd9b, 0xedab41e8, 0x63a053ef, 0xcfdad8bd,
+    0x6d1db4ce, 0x4752f7a3, 0x01cce7b8, 0x042ccc45, 0xe1d4486f, 0xfc622c5d, 0xd2b4fb73, 0x2ddef98b,
+    0xa9970a90, 0x820c31cd, 0xf8c332e5, 0x4bb90ddc, 0xecec9279, 0x2691dacc, 0x2c4875be, 0x738ee70b,
+    0x3e96b1e8, 0x1ce09e03, 0x3d3b0dbe, 0x1eeacc7b, 0x355338df, 0x4b1f5373, 0x3b623e2c, 0x9c9d1bbc,
+    0xbd4f08d7, 0x69d0b3ce, 0x21addc34, 0x95580f59, 0xcae3aad6, 0xd6284495, 0x80f2cf98, 0x9ba5c34e,
+    0xdecd8da2, 0xa8c0ca88, 0x342d7d52, 0x5eac1457, 0xaf9d9e92, 0xa915bdf6, 0x8da2d313, 0x11f008c8,
+    0xb2e86d4c, 0xc11d8cde, 0x187e66cf, 0xdef09682, 0xe82c5e66, 0xb5724e24, 0xa2ca2a69, 0xe5a6b7b3,
+    0x510bf11b, 0xa91cd46a, 0x6a814912, 0x519bc030, 0xe4b37790, 0xa9475633, 0x7ae1a0a8, 0xcf4a5434,
+    0x1fd1a0d6, 0x24b0b83c, 0xe6911550, 0x2d8f5fe8, 0x757f4ee7, 0x20b01c44, 0x4f34c25c, 0x30ea0f0d,
+    0x04661dbb, 0x65a7fa27, 0xda631cf9, 0x5ae3d69d, 0x83aacb00, 0x1a281c5e, 0x53431a2f, 0xd44eba18,
+    0x0c9205d6, 0x59b528a3, 0xca0422b4, 0xf28dc368, 0xf1964fc4, 0x4fc3fa44, 0x8f699f14, 0xad5d1583,
+    0x835ab0fa, 0x69c307f7, 0x9d35aa4d, 0xf50e8aec, 0x23515e8c, 0x3835a74e, 0x51f0a21b, 0x06832f2f,
+    0xd6dba1ec, 0x6631b238, 0x17a25296, 0xc78fdd64, 0x41537b0b, 0x7aa076a8, 0xfe769cb6, 0x574feb3e,
+    0xbadc7217, 0x72977bb4, 0x4a412fcf, 0xda021e4c, 0xc13ea609, 0xc9213c40, 0x310b2322, 0x3f73fcbb,
+    0xd6fea302, 0x2824b99b, 0x823ee78d, 0x7d3b4090, 0x1cb7b7f2, 0xac337794, 0x979f57f6, 0x8a785b5b,
+    0x1fcd59e4, 0x22545cb2, 0x475f5f69, 0xc67fb3da, 0x63ee0e56, 0x0be53850, 0xdc3f02b1, 0x1f670044,
+    0xa4675880, 0x3fb33f65, 0x47aada9a, 0x448ac69f, 0x952999b1, 0xbfb650be, 0xe04d96a7, 0x0f1d95cc,
+    0xa075f50f, 0x9d14dc02, 0x2c051e14, 0x3cc5de79, 0xd10d1863, 0x7e0e65b5, 0xbcfea930, 0x727644f7,
+    0xc61cd9f6, 0xdf6d45d5, 0x41f1d9b2, 0x471cb015, 0xf45b9665, 0x7fe6bf65, 0xc29660cb, 0x6022bb07,
+    0x9d6bdb85, 0x204e323e, 0x6a394bb0, 0x0590bc38, 0xa3a3d077, 0x13f932e6, 0x850b1f88, 0x4f9c9d4d,
+    0x87136c2d, 0xa778eed4, 0xc629f595, 0xedb8386f, 0x856b108f, 0x4e00911b, 0xe0339da9, 0x01ad20f6,
+    0xb7fb356f, 0x16c17fd6, 0xcf464e68, 0x0abf9a0b, 0x5eebaab9, 0xe3c976fd, 0x301b4e43, 0x45adb6eb,
+    0x01f5964a, 0xdf6fccee, 0xacb1387d, 0xb5af93dd, 0x3074a59f, 0x2e3bb23d, 0x28d4d41a, 0xb899eb11,
+    0x730e9058, 0xec7e8c09, 0x99a2ef9c, 0xfcb0ba34, 0xb8e8a5fc, 0x987bf277, 0x694d761e, 0x804df6e9,
+    0x1507e9b6, 0x27a00c36, 0x76af5704, 0x6922bc5e, 0xd60e6fac, 0x573f4dc8, 0x3a369c5c, 0xb60e0a55,
+    0x6a38fdf3, 0x43aef76a, 0x3f2265e0, 0xd962f59c, 0x92a1cc24, 0x35dc59d5, 0x18bbdde0, 0x710eae76,
+    0xd4e22845, 0x578f6ee8, 0x4915c34f, 0x375c640a, 0xf1d75d98, 0xdf86d99c, 0x2d2496df, 0xee20cd8e,
+    0xec360e22, 0xfc1bcce7, 0xc40e0966, 0x66832d5f, 0xe5a10653, 0x3ca5376d, 0xe5fd9c9f, 0xca6606f6,
+    0x90eb89d3, 0x3a48190d, 0x19ca63d3, 0x3d8a5021, 0x1de2214d, 0x653c648b, 0x5184c914, 0x4f35ecf2,
+    0xbf773dbd, 0x9d92d549, 0x30b69cc6, 0x56f523ee, 0x40a42f58, 0x8d862901, 0xfa96f10f, 0x6cc56376,
+    0x5647a3dd, 0x0753b5ac, 0x5e98a578, 0xf6681197, 0x0888da76, 0x3794c884, 0x2cb8a912, 0xc046e131,
+    0x74d46eeb, 0xbc63bbee, 0xebc71cc9, 0x674cc905, 0xabc0c9c1, 0xb1cd0948, 0x9a568c6e, 0x2dc99284,
+    0xb00b3bf0, 0xf1d5aa23, 0xcaf11c04, 0x7a0cd529, 0x27e5ae84, 0x47470ce9, 0x021c2047, 0x5f356d85,
+    0x02aaa455, 0xa6432b52, 0x00733c1e, 0x61bfc926, 0x39db438a, 0xd3a4bf7f, 0x3b55f029, 0x130ae820,
+    0xbc086128, 0x778c4278, 0x42c011e4, 0xa8405207, 0x65741a45, 0x47d96770, 0x296c63c9, 0xaa847c2c,
+    0xfacc3ef9, 0x80d16be8, 0x06765075, 0x4b682a4c, 0xf3b71e03, 0x07d86b70, 0xf2226437, 0x2ed67a71,
+    0x2243215a, 0x982f66ae, 0xd82ec3a7, 0x5fab8d5c, 0x11d824bd, 0xacc44867, 0xf85570e6, 0x09f948ce,
+    0x0db4219b, 0x828619c9, 0x0500f558, 0x31a9c6fc, 0xb983a734, 0x690079d2, 0xe1a64d17, 0x4c190888,
+    0x55223559, 0xd8484802, 0x73d95163, 0xf1ad0d80, 0x4176efdf, 0xf9ad6018, 0xef1b97b5, 0xd53eaa46,
+    0x4d6f83e9, 0x89f030fa, 0x0aad6c5e, 0x4c22be69, 0x31817c78, 0x091cc510, 0x3dff288d, 0xb661b6c8,
+    0xcc824292, 0x29faf8dd, 0x8b2a073d, 0x96d16460, 0x045e643d, 0x47d1871e, 0x17e30b60, 0xc7f540ee,
+    0x5629dd92, 0xb4edb8fc, 0xd2d4f69b, 0x41d0f3c4, 0x826a8342, 0xfe81f911, 0x42805ef9, 0x629a3749,
+    0x8613d525, 0xf55c9609, 0xcced0097, 0xb673f659, 0x5d1bbba5, 0x6db3d06a, 0xf52a1706, 0xe18bd37f,
+    0x4644e0a3, 0xc0daf989, 0xc75905f4, 0x46d8e29f, 0xb22b8cce, 0x00f78d01, 0x105fd179, 0xac3d3ca6,
+    0xf09834ff, 0x8dbb2397, 0x4ca7df93, 0x911dc5dc, 0xf4854df9, 0xea0d6128, 0x3c16c2e9, 0x11871909,
+    0xc29ad9c0, 0xbdfb7198, 0x102db9cb, 0x0d5bdf81, 0x28812688, 0x6158a4a6, 0x4ea6466d, 0x29aff3de,
+    0x6ef0c57f, 0x82b26942, 0x4362e472, 0x3a958acc, 0x911bad1f, 0xd186e57c, 0xd5a9474e, 0x97c91766,
+    0x94a642d3, 0x1428a0e0, 0xc18d41cf, 0x4d351273, 0x74f80b2d, 0x4ad76acc, 0xef144325, 0xb7a2d4ed,
+    0x0a2b961c, 0x7ac02ba9, 0x452f93a6, 0x78aaee4b, 0x424d6382, 0x38b8a9dc, 0x7fb08737, 0xa47adee5,
+    0x7cedd185, 0x6304f7d9, 0xb9a3a854, 0xd254e347, 0xe21dac3c, 0x50b92c69, 0x8363b2c9, 0xfe048fa5,
+    0x562bc37f, 0xf9a4f35f, 0x60e00ba9, 0x47f64693, 0x44b0bd7a, 0x6d3b9b0b, 0x10aa7a64, 0x83effd69,
+    0x1be4d66c, 0x8715c19d, 0x7a6de390, 0x853ea527, 0x3296c978, 0xe5d47edf, 0x7d4ee654, 0xcbc86467,
+    0xeb6d041d, 0xafe9097a, 0xafdf5a51, 0xd45061bc, 0x8b5c6639, 0xe5acd2ec, 0x58d7e488, 0xef863e29,
+    0xd1299af8, 0x5c6c8bb6, 0x390491fd, 0xba9ccc3f, 0x2f146f97, 0xd1173479, 0x8e3cf748, 0x01946820,
+    0x2fefbe5e, 0xda71d210, 0xe153716f, 0x7b1afa11, 0x1e137f2a, 0x3d15d75a, 0x11f86ca0, 0xb91cd1d4,
+    0x0f65d7fe, 0x62f660de, 0xa4a925a4, 0x67021960, 0x886202f3, 0x5ed2e1f5, 0x7ed786f2, 0x750a746c,
+    0x1181672e, 0x4ca2238a, 0x8abc1f3f, 0xc5fe6b2c, 0xca0dc4db, 0x676aafcc, 0xc2935a3a, 0x7c137fe2,
+    0xd26d43f8, 0x093a635b, 0x7b726fd2, 0xd7be9192, 0x3c956c72, 0xe8fbc714, 0xc7a2716d, 0x9fde2d3b,
+    0x5772a5c7, 0x2551cca8, 0x664d0579, 0x2d045506, 0x0d2f559e, 0xab3f0569, 0xf3cabb30, 0x319550be,
+    0x24d79341, 0xeceab440, 0x19b8aa2f, 0x5afc0fd6, 0xef399ce7, 0x99c7d53a, 0xf1b29c2d, 0xd990c95f,
+    0x128381e5, 0xba5d0e3e, 0x183e2af5, 0xb2f6f471, 0x29b35e4f, 0xd621ddcd, 0x2c703fe6, 0x07bedc20,
+    0x2aef0427, 0xd77d0c9f, 0xcaeae67b, 0xdf46e66c, 0xd695fa46, 0xea7df8ff, 0xc136dc17, 0x695c9a89,
+    0x2ebf1290, 0xe685cdcf, 0xf8bcf92c, 0xdc7157f6, 0xca48a6b1, 0xdec3f7a6, 0x37b86835, 0x2d0c6d79,
+    0x49d48297, 0xc95d4e6a, 0x0e9abdc2, 0xbfbabcd8, 0x130c99e2, 0x631b4ed1, 0x65bc2353, 0x375868a2,
+    0x4576672d, 0x9de8cb69, 0x7834cea9, 0x61eded8a, 0x1f9e4c87, 0x578378cf, 0xfebe7d62, 0x59922a68,
+    0xa2c698c1, 0x560a6eae, 0x4895baa1, 0x52458628, 0xa1b97ee4, 0xfc38ca2d, 0x4ffa34d7, 0x9f62a076,
+    0x00000000,
+    0x7859d065, 0x6ac8082e, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1,
+    0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000001185\
+                         71099379011784113736688648896417641748464297615937576404566024103044751294464 */
+  { 0x00000000,
+    0xb1fd529c, 0xbee7dee3, 0x86afa5cc, 0x7d25012c, 0xc0523849, 0x8093e152, 0x3ac2d8d7, 0x367bd66d,
+    0xd4c344b0, 0x0dee034f, 0xd8579887, 0xa07e719f, 0x6600cf63, 0x789bc066, 0xd1432a82, 0x1f33fef5,
+    0x2339005d, 0x1175f63d, 0x27e43a31, 0xc68c0fa5, 0x3f11db19, 0xc71a04ef, 0x6a328c97, 0xfd8473ea,
+    0x0eed86dc, 0x8772687e, 0xb34d5668, 0x0d80eced, 0x2a0b037b, 0xa2540d4f, 0x69bc3054, 0x1959e833,
+    0x731715ae, 0xfbec2a64, 0xdb312909, 0xc992a603, 0xded9bff1, 0xc5c36ff3, 0xa07703fb, 0xdfc4a5d9,
+    0xfc6f5d79, 0x3bd147a3, 0xf3a389bd, 0x8bfed5c8, 0xf449d9f2, 0xfaca4a50, 0x09efed45, 0xa420e51c,
+    0xcb46db99, 0x6c3b06ae, 0x24564630, 0x650cc09d, 0x30e435b0, 0x67e8a71f, 0xe18e7ffa, 0x4d33677e,
+    0xdec41ec5, 0x8a543e08, 0xa6423925, 0xc9c543e5, 0x61faa223, 0x0dfdbeb6, 0x97378997, 0x50978d80,
+    0x44a67abb, 0x16417230, 0xc4175b5b, 0x658cbfe7, 0xf5643414, 0x299998aa, 0x880cbdbd, 0xf9bad9e3,
+    0x666f972a, 0xf5d6f38a, 0x69e2fd4a, 0x7852aadb, 0xc1b8ec9c, 0xd6dbd245, 0xa92064a5, 0x0d8581b6,
+    0x8bd24984, 0xdb6e98f2, 0x9e3c4384, 0xb0510483, 0xb5c942ae, 0x93cbf5d0, 0x7d1a4e88, 0x82cfd04f,
+    0x34f5b0e5, 0x82a7b0fc, 0x9512fe2c, 0x0808178c, 0x7f907677, 0x5eab2a90, 0x6357cd74, 0x58b23fa5,
+    0x7b0e05fb, 0x9912353a, 0xf80b08eb, 0x15e6a46b, 0xb28ba679, 0x11f65250, 0x153640b2, 0x125ff385,
+    0xb5fa2308, 0x0de704fd, 0x4d37547e, 0xd1b9b5f2, 0x0a3d2cac, 0x73d439b6, 0x8ef8c69f, 0x4082f7d5,
+    0x8006e202, 0x3f57eef0, 0x9da4cab7, 0xb9f832d2, 0x279bf600, 0x6c61271b, 0xf0ef6f4e, 0xe6f175b3,
+    0xccc01277, 0x626b552f, 0xd9424edd, 0xfa84ff95, 0x5be9fde8, 0x13f5adfa, 0xdcecde42, 0xb29ea094,
+    0x1a7b2276, 0x851de1bb, 0x08822b0b, 0xddd5ef28, 0x261a132e, 0x44b36abb, 0xbc13d370, 0x4e06c699,
+    0xbb05477d, 0x37388cb7, 0x83883b90, 0x897009eb, 0x67bb0c17, 0x513bd838, 0xde5a9219, 0xa1f35868,
+    0x41639910, 0xdfa0728f, 0x75f46df0, 0xb2d729d9, 0xb13671e5, 0xcb6c66b7, 0x017ae1dd, 0x011ef6d8,
+    0x2a77e90b, 0xb63b9c3f, 0x493c1867, 0x5dfe5c91, 0x49590b04, 0x52935f2c, 0xdaa9cc4e, 0x03335342,
+    0x6a426ff9, 0x4d25aad8, 0xc5a0ae8d, 0x08dbf172, 0x378471df, 0x4195b09c, 0x7892817b, 0x8e33eb7a,
+    0x3138fd99, 0x5e570529, 0xd393c11a, 0x0acc4f9b, 0xfbad957e, 0xa9aadae7, 0xb6357c4d, 0xfd549dd4,
+    0xf30f116a, 0x7a77f391, 0x1811efee, 0x5cd03509, 0x7980f819, 0x6d3f663c, 0xe797ee34, 0xdcd89d02,
+    0x2d2d676e, 0xff27582a, 0x3246c92d, 0xc0d88e55, 0x907bb0f2, 0xd70d5b9e, 0x642942cf, 0xe2232f1e,
+    0xcaa81e8a, 0xb8a20e82, 0xb1ea700b, 0x35f46244, 0x78510cf5, 0x259cd02b, 0xf59c9dc5, 0xd73a0d9c,
+    0xf99c7a84, 0x2f43797c, 0xb568157b, 0x6cb8bf65, 0x8f9def48, 0xa20c2f39, 0xa0372fbd, 0xa34b8663,
+    0x37264c8b, 0x906bb515, 0xf1ccbab5, 0x48bfeee5, 0x4231f74e, 0x0a393e38, 0x82162d79, 0x46680238,
+    0x88f403f9, 0x072e2763, 0x73bd4924, 0xdda8087a, 0x7d405b55, 0x26d4530e, 0x8349a3cd, 0xc122fa6d,
+    0x8124e5a7, 0x9fd138d1, 0x0d028c1d, 0x9067f385, 0x283aeac4, 0xb73f130f, 0x596d634d, 0xdbd0910b,
+    0xd31a4686, 0x8776b4e3, 0x5b9262ff, 0x07d94c71, 0xfd45a44f, 0xa552f1ee, 0xb2ad3a7a, 0xd1e79d89,
+    0xac6c4147, 0xad8411cf, 0x25a83278, 0xc43c3b56, 0xaea57537, 0x1b9e1db9, 0x35965142, 0x23ae9a05,
+    0xf7af3847, 0xf91de152, 0xe99700cb, 0x619d258e, 0xa9d89c42, 0xe58fe41c, 0x975f1d98, 0x4dacb788,
+    0xe9fc27ff, 0xc80f5583, 0x9418504a, 0xd536bab3, 0x2ce28674, 0x8316757f, 0x6cbc071d, 0xf7efeca9,
+    0x4650c840, 0xd2ee0eac, 0x91156f22, 0x2b4aad6e, 0x301cd86e, 0x40230bb3, 0x7d3a8ee3, 0xc2f2f04c,
+    0x8d991e97, 0xff67646a, 0xd5e88f55, 0x3f5b64e7, 0xeb57ba7c, 0x519027e4, 0x54957446, 0xd39436a1,
+    0x4a0d03b1, 0x0060b104, 0xaf617406, 0x04cba833, 0x4099b2f5, 0xfe33f5fe, 0xcd6aff03, 0xa8901549,
+    0x0885bc50, 0xe417dec7, 0x2544dc55, 0xc94af566, 0xa3a4c95b, 0xc973857a, 0xc7e81a78, 0xcc2ae222,
+    0x8603f70b, 0x69077303, 0x43b6723e, 0x499fd9f9, 0x7092de29, 0xf2a1f6a0, 0x6c142738, 0x2f34488a,
+    0x4685b69f, 0xac6fb32e, 0x6188f349, 0xba5ae972, 0x361a1cc2, 0xa4f6cdc4, 0xfbdb5dd7, 0x32e096b9,
+    0x1efe91c4, 0xb908ed54, 0x2ab3b1e4, 0x24d0a2b1, 0xd0c283f3, 0xf3260fea, 0x65601912, 0x259a0dfa,
+    0x9f5a33a4, 0x77510a6a, 0x1d4a14e1, 0x8ff6a7d4, 0x10737d31, 0xdd831bd2, 0x8e50e7f3, 0xca41ec89,
+    0xa7152da7, 0x0e2152e9, 0x76cd3059, 0x3317ad34, 0x47981c9d, 0x4ccf2f52, 0xaf121769, 0xf2aacac3,
+    0x46f54f8a, 0x24dbda6a, 0x2d7a8279, 0x6f492b58, 0x2b609289, 0x3c8b6da4, 0x5e17b056, 0x8cde0e47,
+    0xfcbf820d, 0xd9b4d921, 0x2f0e9721, 0xd0e28bb1, 0x3bdad032, 0xfdd219a6, 0x6fb5a014, 0x987b5900,
+    0x51520dd7, 0x1a5dbc12, 0xd5cb08dd, 0x04f7a774, 0x97834a3e, 0x869c3341, 0x4cba3ea3, 0x1620b2ca,
+    0x2adaf6b4, 0xf21ccc20, 0xcfc591b2, 0x7351546c, 0x40c56237, 0xf5f69c5c, 0x9b33d33e, 0x2ffe3737,
+    0xf6d1b6a9, 0xed9a4b31, 0x9368a62c, 0x67a4d9c3, 0xac219659, 0xba767d94, 0xdea22e41, 0x2c741d51,
+    0xcfc2515c, 0xdc19fc59, 0x8cfcb4b0, 0xc816b630, 0xead77c5b, 0x1833fddd, 0xd2e8e5e4, 0xf30034ce,
+    0xb2c96f4c, 0xa3f00105, 0x884c8105, 0x8da1daed, 0x5652b4c1, 0xaa385400, 0xc586bf79, 0x710af23d,
+    0xf0fce978, 0x43d1e808, 0x31b2c76d, 0x12cb4099, 0xaad64b62, 0x2b07e2d0, 0x0bfa206b, 0x9f70feb8,
+    0x1368475c, 0x9e81e784, 0xc8322836, 0x272e5684, 0x251180a1, 0x92ce8d30, 0xbe2ae32a, 0xc16a94e4,
+    0xe40289d8, 0xcca8ed13, 0x718eb27f, 0x76843c0a, 0x67ee3375, 0x752cb624, 0x6ac875bb, 0xb7a4680f,
+    0x44b6bb27, 0xcfb496f1, 0x046512c1, 0xb21e81dc, 0x1bee7c51, 0x8285dfca, 0x712169d0, 0x74ab6445,
+    0x70796815, 0x1670bfd4, 0x3a8a681a, 0x638bc764, 0xa7660472, 0x6cf77665, 0x0db1508a, 0x732dea8f,
+    0xf28173cf, 0xfae172ee, 0x12e5f98f, 0x337d6a78, 0x0f5c8421, 0x281b2a03, 0xc8eb86cd, 0x8a39d7c4,
+    0x236478ec, 0x9ee61093, 0x747171c3, 0x7dd9d1fb, 0x4279de08, 0x5353b388, 0xf10d92db, 0x373c1e54,
+    0x0983fe82, 0x64f0b7ba, 0xc2b2ab61, 0xcd8fe878, 0xfc0ceecc, 0x754b7251, 0x0f59c88f, 0x197aa2c4,
+    0xb74293f6, 0x59f8a2aa, 0x58cae78f, 0xeab1ac15, 0x761ff505, 0x25d1c8ec, 0xcaecef4f, 0x9cb76b50,
+    0x06e5ff5d, 0xac778260, 0xc03ef32d, 0x7c3a8e2f, 0x8923f4b9, 0x82bba9fc, 0xd095f493, 0x53d1ed6b,
+    0x26ccaa40, 0xdf13ff0b, 0xbd43bac4, 0x4d128292, 0x30215b8e, 0xc79e446a, 0x96275f10, 0x16412bf8,
+    0xec508c13, 0xce84a0e3, 0x4c2000f1, 0x4b5ba746, 0xb3651f2d, 0xda171609, 0x28395c82, 0x92bcc979,
+    0x0e1dfcff, 0x0fbd2c95, 0x67a67035, 0x216b6da3, 0xfcaf96c8, 0xb13c090b, 0xd000b320, 0x4b71ced4,
+    0x6c253235, 0xa3cabb58, 0xd21511d6, 0x0337c52f, 0x141a9c85, 0x5e2260b5, 0xad6750e1, 0x80877532,
+    0xb6a95b7f, 0x7b839bef, 0xebe72588, 0x87a04875, 0x4a30066d, 0xdc068990, 0x438615a7, 0x0bf69d52,
+    0x6361b929, 0x83a45bce, 0xd4eed24e, 0xc6720182, 0x8e18c974, 0xe0c9aa95, 0x02755509, 0x335f1fc0,
+    0x4181f1b8, 0x99c90264, 0xb881a301, 0x6cc5bb11, 0x5507651e, 0x831b9ead, 0xbf839aaa, 0x25d9c563,
+    0x84dd3636, 0xe478cd73, 0x07754c5c, 0xa8468fa9, 0x8e2864a4, 0x2978d82e, 0xb188ffa6, 0xa905bd1f,
+    0xbdad9b68, 0xe03e810d, 0xf3dd1833, 0xf634af49, 0x3786874b, 0x767c919f, 0xfa2fc93d, 0x7a3aec84,
+    0x78eb9c01, 0xd62c7d2e, 0x7491d9bd, 0xccee18be, 0xc2ca2c89, 0x87c66098, 0x3453cdd4, 0x5ce423c7,
+    0x4b5a1a04, 0x53a2a3fc, 0xde2cccf4, 0x0c331c6d, 0x4e4fff66, 0x6adce48c, 0xac094c4c, 0x46227d75,
+    0x50e0e7b0, 0xc958b444, 0x43b6e01e, 0xe92e0d1a, 0x72ff28a1, 0x14a36346, 0xaf762c98, 0xc83293b6,
+    0xaec1e7e5, 0x10f56325, 0x902fc789, 0x1bcc4c2d, 0xca2dc5ae, 0x33f10b33, 0xe9e4563e, 0xaa275910,
+    0x3aca55ea, 0xfa19072c, 0x7bc3a614, 0xdbc1fc85, 0x44e44b09, 0x86c76aa8, 0xff56e99f, 0x901fa305,
+    0x5f74b555, 0x0f0e206c, 0xea8596cb, 0xee220138, 0xa41b42c2, 0xbc12382a, 0xde5b9ce5, 0x53edb553,
+    0x3369f52e, 0x22749012, 0x052ccf7e, 0x485196b1, 0x9447b091, 0xcebfd49b, 0x81692b61, 0x66859329,
+    0xd66250c9, 0x0ac13697, 0xf9f44bdf, 0x6e510275, 0x18ca0aaf, 0x5ff83e43, 0x1f147462, 0x70701ecf,
+    0xcb46556b, 0x1b022e14, 0xc65bcfe9, 0x179194ae, 0x09fad5c1, 0x55f3bee4, 0x16ebb5e7, 0x87d3ec90,
+    0x89e13a6e, 0x1bb76b27, 0xf09f1c12, 0xe04842f3, 0xbc79df35, 0x86bb1a85, 0xab68e65f, 0xcc453c4a,
+    0x00de5f3b, 0xba481715, 0x5509dce5, 0xb0398c50, 0xe3722f26, 0xae5de8f5, 0xd9b4ee81, 0x94e56b26,
+    0x4f6f261d, 0x8b224512, 0x368d634e, 0x50cc92bf, 0xb550c4c9, 0x876fd868, 0xdc012e38, 0x7fd48baf,
+    0x28f9bf67, 0xefb90ff1, 0xf72542af, 0x41ceb97b, 0xb932f6d8, 0x78e528d5, 0x5ab39da3, 0x7d6e577b,
+    0xcd5f963b, 0xb0d716d0, 0x8bbb6181, 0x7d025d38, 0x81dc7e85, 0xf0fbdab0, 0x2635d7da, 0x0d8a35b0,
+    0xaba33872, 0x26466d8c, 0xf81eadd2, 0xfd68b25b, 0x8408a7c2, 0xb5ef4a66, 0xcca6aa47, 0x04e93a07,
+    0xed01fe8b, 0x784faa02, 0xe194bc85, 0xf704f0c3, 0xed63c463, 0x1c833041, 0x53df6700, 0x1c1ade22,
+    0xba0ad70d, 0x580dc367, 0x585dd20c, 0xdba60841, 0xa234a68c, 0x8fb6d8be, 0x4716a420, 0xd757e7a7,
+    0x8cbe50b5, 0xc7d74946, 0x1a052f64, 0x5728a1fb, 0x6911830e, 0xb9d33638, 0x2e52499e, 0x2ecd7ff5,
+    0x00911f3a, 0x5289dad4, 0x5c3c6ee5, 0xe9a14a33, 0x03ff5501, 0x524dc58f, 0x838d46c8, 0xf00d1720,
+    0xde2acb47, 0x8aba806d, 0x3df0b8a4, 0xe3308410, 0x3f2d4179, 0xbc8a617d, 0xf6349051, 0x4577e581,
+    0x158450b2, 0x1090b672, 0xbe0b71d7, 0xc2c5e0ee, 0xf91c3cc5, 0x16d860d9, 0xf14c779c, 0x91cdf8cd,
+    0x2bb34459, 0x83112e75, 0xafe084de, 0x22b5245e, 0x4a280fbc, 0x0cf1dc1e, 0x3de268e8, 0xf8c28dc6,
+    0xf642226d, 0xd766b237, 0xe395e210, 0x496982b0, 0x6038cf15, 0xec3fddbb, 0xc69e9150, 0x2f60a9f2,
+    0xa7dc34c2, 0x91fe311f, 0x27fb6c1f, 0x1c70d7f3, 0x38c3a0a3, 0xd60b9475, 0xf976d278, 0xbee3835d,
+    0xc6cd957c, 0x3437f696, 0x8dbd4a85, 0xfece26f1, 0xbd44a415, 0x57d71c9d, 0x44f65519, 0xd0050ff5,
+    0x68bd8d7f, 0x0563d6d2, 0x9c54ca90, 0x48d48335, 0xcd7bb675, 0xb6c3317a, 0x8bea966e, 0x06db02f3,
+    0x94b10b1d, 0x3cebc25b, 0x53dfa10a, 0xdaedf4a1, 0xb89bfbe1, 0x90184555, 0x468ca4ab, 0xc8d071e8,
+    0x9236ad84, 0xaa9732ac, 0xb5f9e559, 0x71670ce5, 0xfcc40930, 0x1f8ddd77, 0x03da594c, 0x713c0f03,
+    0x6f5f6f4e, 0xa083a758, 0x372def64, 0x876a0900, 0xcd8eb119, 0x402af187, 0x6f593ab0, 0x49cef73f,
+    0x5c12bafd, 0x2e019943, 0xfbf9f2d1, 0x7f70da25, 0xc656fa0a, 0xb31081a2, 0x121d9d86, 0x065d3f8b,
+    0xe014b325, 0x4905bda9, 0x50f9f031, 0xbaff60ed, 0x60acc274, 0xf6879494, 0x8d139490, 0xbd804293,
+    0x8005d84c, 0x6266a28f, 0xe424f913, 0xfd79a9da, 0xe756814d, 0xaeebbb67, 0xb1ff7877, 0x40394154,
+    0x24cf4d63, 0x4d589561, 0xaa3d22eb, 0xc912e11a, 0xabeed644, 0xab45bd2a, 0xaecddd63, 0x35cfbf59,
+    0x55a9c0f6, 0x039e4d00, 0x20f096ce, 0x5900ef6f, 0xa319ba8f, 0x4e54cbed, 0xfdc07880, 0xb5260685,
+    0x0321e0ff, 0x9a3eb4dd, 0xe129b270, 0x09fcf74e, 0xf420dbea, 0x662d174e, 0xc7d76c15, 0xf9d10e67,
+    0x76b1bb90, 0xaaeb0cd8, 0x325bc8df, 0x51aea461, 0xd7239c08, 0x429a1f51, 0xd905a676, 0xe42adab5,
+    0x31790cae, 0x85804785, 0xa3e0d4ac, 0xafc8700e, 0x681a017d, 0xaf9c4498, 0x2b513e86, 0xbc7ca300,
+    0xd30f83dd, 0x1928a659, 0x586b1e37, 0x58416a1a, 0x6dc20cdb, 0xdd87b455, 0x8212b2ce, 0x6f1af95d,
+    0x19832038, 0x9c5db0c6, 0x72cf5523, 0x11315ef4, 0xd3fddce3, 0xe5bec935, 0xd415e36a, 0xd2db78ae,
+    0x2b48ae2e, 0xeab97c81, 0xdcdd3568, 0xdf7ce571, 0x77e78e62, 0x13f40d84, 0x2db2174f, 0xaa8ca1f7,
+    0x63451884, 0x9dd80b84, 0xb4f6e3c2, 0xb7ad121f, 0x27c5b71e, 0x8ce7de76, 0x2c22c763, 0x3d60757c,
+    0xb98b8083, 0xbf5b1cb7, 0x02fb725d, 0x4d33bc8b, 0xfcc1f6b1, 0x318b72e8, 0x1038c404, 0x93ea9ae2,
+    0x5c95a397, 0xcdfe62a6, 0x40390910, 0x2505faf9, 0xf0d5e19c, 0xfff551c7, 0xbd2e6b81, 0x155ead86,
+    0xfc4266cf, 0x9cd51927, 0xd18dc90b, 0xbce0e3d0, 0xcd20160e, 0x23505570, 0x5f0fa788, 0x26d502ef,
+    0x48508758, 0xcd645297, 0xb3fb6136, 0x42a4b9e1, 0xd5ba6196, 0x69a49fee, 0xc28bd084, 0x039213be,
+    0x254387da, 0x65e88323, 0x24eb42e0, 0xfb13ceff, 0x66215b0d, 0xf9ec514b, 0xcb742dbb, 0x79bf43e2,
+    0x55560c0a, 0xc3d3e714, 0xa2f03e80, 0x92597bf3, 0xff9794ec, 0x93f9e50c, 0x362d13c7, 0x62fe4acc,
+    0xb13968d8, 0x25523a5b, 0x167e275c, 0x1d0078fb, 0x772703af, 0x1fcfc98b, 0x3611c399, 0xc3d1bde6,
+    0x93ab9566, 0x11f872a4, 0x4574a3cc, 0x6d562efd, 0x58d56894, 0x49d0f5cb, 0x035a7733, 0xba9cd0b7,
+    0x36676132, 0xedf53c8b, 0x1c0184fc, 0x89a057c0, 0x56001be7, 0x9ffef4a6, 0x43887faa, 0x51b048a0,
+    0xc70229bc, 0x0be01467, 0x19c905f2, 0xf292699d, 0x5c5aa3e3, 0xcd329832, 0x42f429b0, 0x0dfd7db4,
+    0x9815fc7a, 0x71efc95a, 0x8bac2e61, 0x4b5cc445, 0xc2c88020, 0xa2b56417, 0xf34356c5, 0xa9d6c6a1,
+    0xb8c60466, 0x143bc612, 0x4796d98f, 0x15e8b058, 0x406077a0, 0x69ff7b07, 0x975a401c, 0x0e813185,
+    0xafb21804, 0x3adfa14e, 0x8d11f23e, 0x8120c0c8, 0xf19bafca, 0xec574061, 0xd5166aa6, 0x1886b9c7,
+    0x624abf80, 0x8049fc25, 0x8927dc31, 0xe38183e0, 0xbc918cc0, 0x29332870, 0xc20e9a5b, 0x2faa1d3f,
+    0x94a8e7d5, 0x2bdca8d6, 0x85005848, 0x47b22fbc, 0xc43e3ea8, 0x5ba8acf8, 0xca0d3df6, 0x37dbe5b7,
+    0xf49d6c61, 0x10d98a15, 0x3503ae13, 0x6ee86529, 0x5a7a08df, 0xc034a9a3, 0xd009a14e, 0x8acb6cce,
+    0xe84c697a, 0x9012f692, 0x9983cdbe, 0x6edb5819, 0x808f5422, 0xdf65aac7, 0x696a6bf8, 0x8ed54a63,
+    0x00000000,
+    0x3c2ce832, 0xb5640417, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68,
+    0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000592\
+                         85549689505892056868344324448208820874232148807968788202283012051522375647232 */
+  { 0x00000000,
+    0x22a475a5, 0xd78e048a, 0x4d16b096, 0xdb0f2836, 0xcee93734, 0xc798b2a1, 0x32aef032, 0xc390b569,
+    0x32b1062a, 0x1b119ea7, 0x7cfcb574, 0x0b00074b, 0xf80724d2, 0x182e037a, 0xc2595abc, 0x39830fb6,
+    0x526439cd, 0x22d72d21, 0x750174f1, 0xb8cb4d65, 0xc4a69dfd, 0x401e2c13, 0x3cc25856, 0x484e1619,
+    0x76638a37, 0xb245d92a, 0x3e4b5018, 0x3295b028, 0x6d55248b, 0x1593f236, 0x4ba41962, 0x1d6b54f6,
+    0x87e792fd, 0x6b3afae8, 0x5f4f9b8f, 0x11a7b2b8, 0xd9192c1c, 0xad1f6efd, 0x53d1d00c, 0x0948cd77,
+    0xf9fd7b9c, 0x755a1c71, 0x75708765, 0xae5449e8, 0x0715305d, 0x63b700ee, 0x0501496a, 0xab42147c,
+    0xa6632d0a, 0x2e9b6f81, 0x412eb8ca, 0x7fc5e668, 0x1c941799, 0x1791c4df, 0x46c11961, 0x613747e8,
+    0x379d1f12, 0xfaf2947e, 0xc2ca2d4f, 0x059d6c78, 0x8f3b2039, 0x8773f3e6, 0x4c5031cb, 0x33d278a0,
+    0x43441212, 0x7cfbb4a9, 0x745ee536, 0x7c091f83, 0xb1487cc3, 0xdd45f55c, 0x5dee852c, 0xa45b6507,
+    0x7a210201, 0x41716336, 0x411763d4, 0xb68c6f88, 0x8c8fb274, 0x6457d391, 0x28be099a, 0x570343a7,
+    0x2237a575, 0xe1aacba5, 0xc958188b, 0x93a6af3d, 0x09c201ef, 0xb37e2874, 0x1d034850, 0x0da6e811,
+    0x2cbafdff, 0x34bf15fa, 0x4c8dfe4d, 0xc7f8371a, 0xb21d0641, 0xe450af89, 0xadd9d5aa, 0x7ab77a0f,
+    0x492a7a7b, 0xd9b7907b, 0x100b7041, 0x4941c483, 0xd3de60d4, 0xb1d9ec22, 0xfb1817c6, 0xbd673902,
+    0x0af52c46, 0x1deec364, 0x9d63f1f5, 0x3fa0652e, 0xf1696188, 0x76b1cef9, 0x95eaf227, 0x71301569,
+    0x6db78e7a, 0x6c6d8d72, 0xb3948c81, 0x621135f6, 0xb1d004f6, 0xd4a22fbd, 0x6f63a344, 0xa6e6c48a,
+    0x7ca6aab0, 0xbe502ebe, 0x3b6a12a4, 0xec2af06d, 0xd671b59c, 0x2f8e4040, 0xdb2d64b5, 0x6c53abd5,
+    0xa981da00, 0x98957b03, 0x7ce0dab0, 0x78cb02cf, 0x54c2ded6, 0x79045111, 0xcae6e940, 0x6cbb34fa,
+    0x966bb974, 0x4e8a889f, 0xc8519c68, 0x787b60bf, 0x4328120e, 0x8c1c5c38, 0x0a4b3d5a, 0xc93b0c3c,
+    0x3575db6c, 0x3007fa06, 0xf13d960a, 0x758bc737, 0x8d265e58, 0xd6e5a6e5, 0x71bb104a, 0x2c41c356,
+    0x00af659c, 0xe793cfbb, 0xe769c835, 0x1b6cd418, 0x0fe3c376, 0x8f9d1a1e, 0x6860d1d6, 0x6b3cba44,
+    0xd5a1b1fa, 0x52869526, 0xb687a519, 0x72d2a0c1, 0xa2f18840, 0x88b865dc, 0xa43287b8, 0xfe462f17,
+    0xd14a599f, 0x924df289, 0x94320394, 0xb730ae2f, 0x614f2631, 0x88acbf2d, 0x38efa775, 0x8b5bff7d,
+    0x03431460, 0x673fed17, 0x1ccc6e9e, 0x9ec5e2c3, 0xf573f9c4, 0xa876d2b1, 0xace7b26e, 0xc6c979fa,
+    0xd407ca5d, 0xb400b55e, 0x6f63ebd1, 0xca2aab67, 0x1162d1d7, 0x4e2c2677, 0xcc0f0402, 0x2637eda3,
+    0xe2740ce3, 0x07aaf88c, 0x611f4f95, 0x5a5a10b2, 0x367dc07e, 0x5ebfb3c5, 0xd40ddf55, 0x5499edeb,
+    0x90cf362d, 0xee0fb66c, 0xc4ed8a84, 0x5cad371f, 0x8125c28e, 0xcd5e047e, 0x7e3244f5, 0xef2b41b0,
+    0xe611da48, 0xea8e6129, 0xc4736140, 0xe6d24678, 0xd150c9db, 0xb39024ad, 0xbf9a3980, 0x94e9099b,
+    0x4f069e8a, 0xc8145623, 0xa66eecbe, 0x4cc7593c, 0xc7f40e6a, 0x3ae71939, 0xf89c7821, 0x075ea626,
+    0x7e988527, 0x64b171d2, 0xe4e0a292, 0x706a4e3e, 0x044d6045, 0x39223e6a, 0xab17a519, 0x4abdaaf4,
+    0x84b66943, 0x6d9f5f4b, 0xd5c36d0c, 0x5aff7679, 0x6d9e1a97, 0xcc0f77e3, 0xd9035ae9, 0xe20d3a2d,
+    0x6ebab45b, 0x9cfd810c, 0x4a2ed22d, 0x6466301b, 0xc1f4c5c4, 0x070978be, 0x11ff97e3, 0x740744c3,
+    0x062857be, 0xa912239d, 0xfb07fdff, 0x8b236850, 0x23190a78, 0x96961a0d, 0x440fd5a2, 0x1407efdb,
+    0x85000aa0, 0x26ef4bf1, 0xf1c8d1dc, 0xd76c7a1a, 0x2b77d5eb, 0x35815ff4, 0xd4eea7f4, 0x8f1512bb,
+    0xbd38c12e, 0x6b26059c, 0x7ca066f1, 0x29728447, 0xdfa2562e, 0x9372a3f7, 0x85fac2e1, 0xaff2e910,
+    0xbbeedddd, 0x9d67dd4d, 0xc7733fd5, 0xc4304d64, 0xeddfa063, 0xa782b3c2, 0x2dd67998, 0x5272f901,
+    0xdfea5b6a, 0xfa8eb717, 0x96c145e9, 0x5cd3c1c6, 0x0b9b0a47, 0x0d9fe26a, 0x474e78f1, 0xfafaff99,
+    0xe5d44e9d, 0x1eeb0aa9, 0x23629ad0, 0x8c66d053, 0xd35f751b, 0x80d43720, 0xa9d29010, 0x1ffac23c,
+    0xf1faf6b9, 0x1d5eb2d4, 0x85c26d03, 0xeff2e224, 0x55cd4409, 0xcf9a58b9, 0x2aba5d50, 0xbf0777fd,
+    0x638ab7e3, 0x35f9b06a, 0x4fb8919a, 0x30c33fa8, 0x2111c891, 0xd482d9bf, 0x43c144fb, 0x3365c47c,
+    0x47102ddb, 0x8f831aca, 0xde3c7618, 0x66c08097, 0xbbdf0fcb, 0x7f6a74e1, 0xbb2d686a, 0xb27d557b,
+    0xb979df60, 0x81f3a4aa, 0x9c4ab964, 0x48ab8bb6, 0x8fbbae9e, 0x1a5e3396, 0x6284ee70, 0xf2d5a58e,
+    0xca006291, 0xd4dd7dea, 0x32404491, 0xe4973153, 0x826158ed, 0xbd502594, 0x19b7f114, 0x7bae3ced,
+    0xfeb3778d, 0x7ed64794, 0x23d0c42e, 0x5ffe7b53, 0x3f58de2f, 0x51424c7f, 0xfcfada78, 0x278081f7,
+    0x4eff4ca2, 0x4c86aac9, 0xd1159c19, 0x6821fc3f, 0x15a3d1d9, 0x3c5b1cf5, 0xf463ff0b, 0x3806909c,
+    0xb55146c3, 0xe9463d05, 0x32ebf3b7, 0xe875c9eb, 0x5aa3db39, 0xedd5bc7b, 0xcf7029ad, 0x7f746a5a,
+    0x29fc3145, 0xb97da32b, 0xf9ca657e, 0x8a8812c1, 0xd1e9dc32, 0x28b4fa7e, 0x30fd8459, 0xf6db7d70,
+    0xba80dabd, 0x49e67790, 0x53d70e7d, 0x013a08eb, 0xc62fe31c, 0x60df24f8, 0x0b2fc060, 0xd917bdff,
+    0x1395e0d9, 0xe09606fd, 0x99565a56, 0x2d5b148d, 0xd52accb9, 0x43c93dc4, 0xa0c8bc2a, 0x32b7f971,
+    0x9fc53c4b, 0x43359824, 0x9fdd78ea, 0x92cf1399, 0x53c550e1, 0xc6304670, 0x0573c587, 0x5f85baeb,
+    0x33d8c76a, 0xcf7426a7, 0x7fef061f, 0x15ffea9e, 0xef86ec8e, 0x4e2adbb8, 0x16f5208f, 0x78440232,
+    0x1b7cd935, 0x204986a5, 0x1fe5505b, 0x7f9a187b, 0x4c271a51, 0xb4bf546f, 0x2a85a0b0, 0x274c756e,
+    0x3970f7a4, 0x944347ae, 0x4b2141ef, 0x8d84e8d8, 0x2e74f949, 0x44a9f362, 0xea4e092c, 0xf320db20,
+    0xaa4b5989, 0xa38b6968, 0x2d603db0, 0x44328e8c, 0x32773510, 0x4e7b4de7, 0x323be67d, 0x00395e4c,
+    0xacb0210c, 0x7213834d, 0x537bba68, 0xeadf71d0, 0xc4dee65d, 0x9978847d, 0x7ddc72a1, 0x661c1d3d,
+    0x87c76e8a, 0x8a054d35, 0x64bcb25e, 0xb8e963a9, 0x816f1a60, 0xbca3b5f3, 0xc5dd5d79, 0xa7788551,
+    0xfd003f1f, 0x52a240d2, 0x673cdbf5, 0x42d201fe, 0xe4049fbf, 0x2e79cfcc, 0x2e72d42e, 0x88244e9a,
+    0x05cf5b43, 0x2faaee95, 0x3b8374a1, 0x68238f71, 0x12f421f7, 0xc99cd0b5, 0xabbb3ed1, 0x8f2dbf2a,
+    0x626204e1, 0xdeb23e7b, 0x16db5052, 0x6f0166f5, 0x98fe08f6, 0xa9999ec8, 0x61052e17, 0xa56cabc9,
+    0x45527066, 0xddfe8c4d, 0x20fd850e, 0xe3d5fb75, 0x4d49cd33, 0x17b32704, 0x7649010a, 0xc29d78fd,
+    0xc8faae66, 0x2eaea873, 0x170d67b1, 0x3087f09a, 0xccfc2414, 0x896fa945, 0x5634cd0c, 0x89057f17,
+    0xabcaabb7, 0x67988947, 0x6e753d5a, 0xe3efc561, 0xc36b6633, 0x2fa0f6f4, 0xf24d05fb, 0x73e0b65b,
+    0xdf43fcd1, 0x91c37995, 0x9065ad85, 0x8fba63ab, 0x342d17be, 0x8167f35b, 0xe58b6a0a, 0xb9bc9e35,
+    0xf5dfb52a, 0xd99c5d6d, 0x0ee5b707, 0x9aedf81d, 0x9db93988, 0x6e85cd3c, 0x5339f773, 0x77399b1a,
+    0xdfe55b96, 0xe305ff43, 0x859c8634, 0xa3094da0, 0xb79bd217, 0x4e18dbc1, 0xca01027b, 0xcf0fe483,
+    0xdc0660c2, 0x8c815ac6, 0x4d41cd67, 0xfdaca627, 0xefc95257, 0x4e7f2d32, 0x48624af4, 0xd64569f9,
+    0x86ba70ff, 0xcf4592dd, 0x673391d6, 0xac9895de, 0x314785c1, 0x8a3ce516, 0x77160218, 0x66377c22,
+    0xf93efbee, 0xac79f0e9, 0x09777578, 0xb8c6e0f9, 0x9be9226d, 0x8682f547, 0x43441259, 0x681b432b,
+    0x1ff782c2, 0x74fb414c, 0x1fe5fdcf, 0x70af875a, 0x2c4c8662, 0x25bf5d49, 0x14491968, 0x28aa1d8d,
+    0x709c7362, 0x9bf55f97, 0xbaaf4866, 0xf67e9480, 0xb64de77d, 0xf6ace367, 0xf7e113b3, 0xc8139769,
+    0x42e01a65, 0x9e663dcc, 0x86a8e2dc, 0x03726629, 0x3618c3ae, 0xdd92b489, 0xb4111223, 0xc796c204,
+    0x5ffa5fbd, 0xcf6fdc12, 0x32a5d4a5, 0x37f23377, 0x8475bca6, 0x0ed2fbdc, 0xc24e97f3, 0xa6730159,
+    0x6840d6ad, 0xcffbfcd4, 0xd70cf08d, 0xa00f3086, 0x34bdf3cc, 0x3be67de0, 0xba3f9d80, 0x9dbc8e34,
+    0x97825114, 0x0e956ad6, 0x15ff76a2, 0xe42ce0f4, 0xd0aaad4a, 0x992c3d09, 0x61f212a4, 0xcfce61e5,
+    0x372b314f, 0x4b5fccaa, 0x222c1fe6, 0x981021f2, 0xc7c33b35, 0x58d5acb5, 0x99e171bd, 0x45408227,
+    0xc1565d46, 0x71244b57, 0xef528e1e, 0xe16a690b, 0x0bc73af0, 0xae1e1a6c, 0xd885f927, 0x4f1609ba,
+    0x48e9cdaa, 0xef13313c, 0xbcc5f69f, 0x7249dd33, 0x1e82ba97, 0x741733b0, 0x3da2ca3b, 0x70f1ee89,
+    0x4c99284e, 0x5e74204f, 0x10cd3062, 0xf17a671e, 0x1a2987a1, 0x0e33e023, 0x93b93de9, 0x1da2ff24,
+    0x31c6e739, 0x867905f3, 0x6bf4d742, 0x1a01eb83, 0x27ef1fbd, 0xb1142b3a, 0x4b307c35, 0x2e916714,
+    0xafb6938f, 0x967025cf, 0xd2e55c89, 0x64dd0a4f, 0xfe3da18b, 0x23f5a330, 0x45b78432, 0xe2144189,
+    0x9b649759, 0xad109029, 0xd7728873, 0xd4abb582, 0xfcb00967, 0xf78d5e96, 0x013f30e5, 0x6885a2b0,
+    0xbede117d, 0x99cf1e84, 0x76e3600d, 0x299aab38, 0xc9b47179, 0x39927c34, 0x7b1db3fc, 0x3a3ff592,
+    0xb2c637db, 0xb703e0d3, 0xa93e3039, 0x965143e4, 0x2f8a5fc8, 0x2e831ffb, 0xf2c74b3d, 0x6414bdbf,
+    0xefbf966c, 0x894ae33d, 0x88e4fcde, 0x926c4efa, 0x87413cc9, 0x40d3e1cc, 0xe0b346cf, 0xe63359c5,
+    0x34a12277, 0xc9f0c9c1, 0x8f948df0, 0xd932f7f4, 0x32e3f79c, 0xecbed282, 0xc17409ce, 0x03f44930,
+    0x38b75ba2, 0xbb1afc03, 0xf1295e96, 0x4b789e56, 0x5976241a, 0xf7cc7ddd, 0xf2b6d352, 0xb29332f2,
+    0xd670f9e6, 0x028e560d, 0x68be20a2, 0x177da63f, 0x9a7706ba, 0xbef27039, 0xc2f6d380, 0xd68264eb,
+    0x43ef0919, 0xb05424a7, 0x40ba9ed0, 0x33f03c5f, 0xb06ff1f4, 0xf5ba3756, 0x561b7919, 0xd4a9710e,
+    0xf4ba1810, 0x08796f42, 0xf076ed85, 0xb88703d0, 0x0de8c014, 0x0ba4599b, 0x3f23bfc6, 0xd5e95616,
+    0xfa40d65a, 0x6064130f, 0x4af3ca84, 0xf6800acd, 0x83a45210, 0xb55d0e35, 0x2b6972f9, 0x9b18a11a,
+    0xee877424, 0x707bfb6d, 0xae8624b7, 0x52f63907, 0xe1317cd7, 0x86e84d6a, 0x04fa2aee, 0x9f7122ee,
+    0x1f575378, 0xda0483bf, 0x66aaae91, 0xb688215f, 0x3623c7b7, 0x0fc7aa80, 0x24573e07, 0xbd39643a,
+    0x558278c6, 0xf51ed212, 0xe92176d0, 0xc5906663, 0x95d5e825, 0x1139554e, 0x0e9fdf3a, 0x8155cf38,
+    0x6e4304b8, 0x655d88ae, 0xf98ebf34, 0xa567495c, 0xd76752e1, 0xbea86a9f, 0xd292c262, 0x5c584ec4,
+    0xf414cdc4, 0x955201ef, 0x41c3f66a, 0xd487c90f, 0x9d5a118b, 0x9d5827e3, 0xcdf965c3, 0x672d9149,
+    0x7fe8e585, 0x522b310f, 0x5ca1c3cf, 0x37eac1bd, 0x845c721c, 0xddc582f4, 0xa8e49771, 0xc7527375,
+    0x30525071, 0x748e014d, 0xc9264211, 0xc4ed5e72, 0x8ff12817, 0x1c5234f9, 0x10466cd5, 0xd722185e,
+    0x1dbf5eef, 0x76d80257, 0x9fb2a35b, 0xe74e51aa, 0xc0e8f87c, 0x5e5ac7c2, 0x0883489d, 0x222eca3e,
+    0xb1d9271c, 0xd07937aa, 0xd4c91fa4, 0x9d311b01, 0x877cdd4b, 0x844a48e5, 0xffba09d3, 0x949cc706,
+    0x9a971db2, 0x541fc5cb, 0xee57e4c3, 0x9adc1a7d, 0x2d1df4e3, 0x16cd08d6, 0x9e73fcc4, 0x5166b420,
+    0xe415582b, 0x6047b170, 0xe6f8a0b6, 0xb8c38a12, 0x1ff674b7, 0x59eff5b3, 0xf0ce4ba7, 0xf4e4e640,
+    0x0482c9f0, 0x68375039, 0x54879866, 0x61f4a1ef, 0x57b0ad42, 0x65cf674b, 0x9a5ae3ca, 0xad1658e8,
+    0x2a63a38b, 0x2295eb87, 0xe2ff65e6, 0x68fb5eb5, 0x2feee64e, 0x77cdc243, 0xfe059c17, 0x218271a3,
+    0x61d4ec1f, 0x8bd68196, 0xf0df58e3, 0x2bf324c9, 0x37071469, 0xb6b5c402, 0x823beb8d, 0x2374f807,
+    0x1672a80d, 0x8be78761, 0x71f498c9, 0x86f79f0a, 0x522271a3, 0xc94a8dfa, 0x445f3ec7, 0xe314ab4f,
+    0xe73e13ac, 0x0868bf29, 0xaabf67bb, 0x9bd40837, 0x8dfcaddf, 0xa45b5224, 0x1af86559, 0x8599bb0f,
+    0x1cf6638f, 0xaa291774, 0x127cfb40, 0x1c3c67ed, 0x2b0772d0, 0x8a5b7a3a, 0x11e72348, 0x8d4d8899,
+    0x6fa323b7, 0xeb4dc17e, 0x43f01a41, 0x0cf50e12, 0xea2ec66c, 0x1c25b4a6, 0x88af27b4, 0xd39d9890,
+    0x1d6c3571, 0x4f463890, 0x1f8be3c8, 0x5d656aa0, 0xba48805d, 0x05805a2d, 0xb2529ebc, 0xbcbd74ca,
+    0x246941e0, 0x46490006, 0x011d129d, 0xde24df62, 0xf8a356f9, 0xf194040a, 0x44c071d1, 0xf22973d0,
+    0x73b2009d, 0x4183066b, 0x5394486f, 0xd6dbb798, 0xb089afb5, 0x295d4fe9, 0xaf652e71, 0xf99fda3d,
+    0x14de04f7, 0xda139b3e, 0x2f86be10, 0xff4329a1, 0xe7943dd7, 0x43a295f8, 0x9f8b0124, 0x8cef2b51,
+    0x3a6ae6cc, 0x03ce28e7, 0xbf5c4abf, 0xe65ef249, 0x0cfd9a6e, 0x9a6d22fd, 0xedae4131, 0xaee9d8f8,
+    0xf8c9a577, 0x6f38cff7, 0x489efdc1, 0x83560a3c, 0x434e2498, 0x5c0c94b9, 0x7a8c82a9, 0xe0cb67de,
+    0x4672b3fe, 0x41a4724a, 0x1c1eabbc, 0x1edebab5, 0x5b383ac8, 0xe2cdc547, 0xda2afe7c, 0x788c3388,
+    0x6a94aabb, 0xe3288939, 0x3199fc48, 0xc9a31d58, 0x87338a8a, 0x702b6e22, 0x37622daa, 0x0498129d,
+    0x26fff370, 0xb864bf1e, 0x5378328d, 0xdcdabcd9, 0x17b7b794, 0x81a80e1b, 0x232a7a39, 0x16fbf538,
+    0x0ebd12a9, 0xef937323, 0x96a0691d, 0xe3c5b8f2, 0xa9a75d6e, 0x0f435c44, 0xf8acf6ee, 0xfd552cd7,
+    0x161c6cae, 0x04da000f, 0x75316831, 0x4625dbed, 0x7a42c5e7, 0x9331e597, 0x9c0ca0a1, 0xa852cafd,
+    0x7b0b1d1f, 0xa5273255, 0xb8b48976, 0xcbb0a944, 0x98bc1d09, 0xadcf1cec, 0xccd90acd, 0x623a5828,
+    0xa466ab69, 0x5a3424d7, 0x738acdcf, 0x6d2b399e, 0x1eac0145, 0x45ae20b4, 0xf00559bd, 0x02ecf909,
+    0x0c4d6ec4, 0xbeeb4e9d, 0x4976c64c, 0x80f342d7, 0x17e81793, 0xb586a198, 0xbfc66c7f, 0x9399d3cd,
+    0xa594d31a, 0xa75312ef, 0xa8322ea8, 0xa92e6ea9, 0x5179299e, 0x20031378, 0x56054171, 0x084602e7,
+    0x9ce01330, 0x310f8c11, 0x136eca4b, 0xcdfe05cc, 0x55fc3210, 0xb0a4cc10, 0x388b9fe5, 0x65bb15f8,
+    0x16cbfa9d, 0x1a10364a, 0xd5cfd093, 0x81357d78, 0xc5e81ed9, 0x8b98efc4, 0x07ae8bdc, 0x5b470054,
+    0x129fe680, 0xeaf2a09f, 0xd032cab7, 0x5f9cb294, 0x04bc38f9, 0x0bf82230, 0x7f6ec436, 0xe38d978a,
+    0x346aa4ad, 0x5dce628e, 0x490f95a6, 0x1d6c5dac, 0x36005f98, 0x3d7127ee, 0xe47d345a, 0xbf387490,
+    0x00000000,
+    0x9e167418, 0xdab2020b, 0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34,
+    0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000296\
+                         42774844752946028434172162224104410437116074403984394101141506025761187823616 */
+  { 0x00000000,
+    0xe3f12677, 0xe637d8a1, 0x6ecf9a17, 0xc983eb19, 0xb5cffc69, 0x708a40f6, 0xff5cb343, 0xbd622989,
+    0x8ee21407, 0xc380e6df, 0x107a3ab8, 0x849a771d, 0xcafed9fd, 0xb2441876, 0xe6365710, 0x2023992f,
+    0x751e7bfc, 0x1d5ded0a, 0xc0f38f33, 0x78a0141b, 0x6cc2cf0a, 0xe6920d85, 0xb1fe91a1, 0x70de67fa,
+    0xe20f5a66, 0x72724fe3, 0x57fcfa24, 0x8c7156c0, 0xf9306253, 0x37224e6c, 0x59b41fbd, 0xf09a1bfb,
+    0x14d63fb7, 0x9809e9e2, 0xe20495b3, 0x39d04393, 0x11c933f4, 0xba35fc72, 0x0ce84587, 0x0e3b039f,
+    0x3a0a3181, 0xbfe01de7, 0x0b27a0b4, 0xee87251f, 0x8194965e, 0x6a440e1d, 0xb0f370b2, 0x733bf729,
+    0xaf267ab7, 0xc6cbf280, 0xdf4825a6, 0x43fa2636, 0x7b0d41b0, 0xadf6333c, 0x44c03892, 0x23937073,
+    0xb73fffe9, 0xe7d6015c, 0x66b021b9, 0x251528af, 0x519801bb, 0x008f1d59, 0xd361bb53, 0x1faf5790,
+    0x22f2460d, 0x2b4ef600, 0xb6464669, 0xa78b030a, 0x487dedf7, 0x082d9e4c, 0x21136e9c, 0xebcb67f8,
+    0x21c04ecf, 0xfc48378a, 0x4bb5994a, 0x3cdc342d, 0x852245ea, 0xcd908f30, 0x5cd64fea, 0x6796dbfc,
+    0xb611dd20, 0xf2e779c2, 0xf0c16086, 0x6f506702, 0x2a4e2d2d, 0x62534291, 0x3c3fd74f, 0xa8c04701,
+    0xa5857feb, 0x47369000, 0xdc321921, 0xf639055e, 0xdb18a8f3, 0x3155f109, 0xde47cf45, 0x1cf09a21,
+    0x60fa0a7c, 0x2df5953b, 0xe50c6077, 0xd7b122bf, 0xd097ed3a, 0x1b424a9b, 0x85fefce2, 0x948b5d06,
+    0x11462985, 0x0d04a001, 0x62b746e7, 0xf4511481, 0x64b33382, 0xfcefa772, 0xbc579130, 0xaf7d8d5f,
+    0xdd4fe645, 0x9e73d249, 0xcd9f4474, 0xb769f16b, 0x451f8569, 0x79e5db3b, 0xd3f2cce2, 0xcda78ced,
+    0x42bc4f8f, 0x94728595, 0x2209d8bd, 0x169e3666, 0xcd09f839, 0x404280d8, 0x4401ec10, 0x6db20325,
+    0x986416fa, 0xfe710381, 0xf9d326cb, 0x0920ce07, 0x6848df8e, 0x7e498c52, 0x14e80772, 0x6f8f6aa6,
+    0x38b09915, 0x38b8219f, 0x11358285, 0x50e9a142, 0xcfed1b38, 0x0c915489, 0xbae4c72b, 0x74194b07,
+    0xc4bb9f6f, 0x5f0f7c65, 0x1ab59a95, 0xb4036671, 0xf7e15481, 0x05006cc7, 0xf3b61dad, 0x3e0c0b52,
+    0x8894522e, 0x6fc381ee, 0x8e108a94, 0x42ae4a80, 0xb3f89463, 0x1b571974, 0x64ea2384, 0x0c832eba,
+    0xaa38c083, 0x58ea6c3c, 0x43b5dd67, 0xa668b90e, 0x81c35a6e, 0x7c3ce126, 0x0cf45318, 0x095fda32,
+    0x6450ade1, 0x4839258d, 0xedc22607, 0xce40e38d, 0xefebe179, 0x53437e7d, 0x2ee356ca, 0x29697213,
+    0x08ea8118, 0x607014ef, 0x140ddc61, 0xd27c28de, 0xb8c964be, 0x9cd5fbba, 0x747a065e, 0xe4d01a70,
+    0x1e53e017, 0xd0340452, 0x932a5104, 0x0b193d16, 0x2b1ad87d, 0x81bf36c1, 0xadcd8d78, 0xcda263bc,
+    0x62a21e27, 0x45f8e82d, 0xf8efa848, 0x8fe7e72c, 0x216a26e1, 0xb9f62069, 0x01e56def, 0xfa297542,
+    0x3604f34b, 0xc8552635, 0x951987a2, 0x34739f69, 0x0bcb2ed9, 0x1c9a0931, 0xe4ef6a20, 0xb5fc66e3,
+    0x00809943, 0xf596f909, 0x3968b20a, 0x053a709b, 0xc9a517aa, 0x4882c78e, 0x9d44d4f7, 0xeb5be53b,
+    0x4575332e, 0x97633e3f, 0x310eb1be, 0xd597ba6a, 0x89109237, 0xa12b345a, 0xdb77a524, 0xe1733610,
+    0x7260bcea, 0x260e2053, 0x0c9adfd6, 0x5b6c0142, 0x88f2accb, 0xaeebe265, 0x10d2f9df, 0xd576ecc6,
+    0xb6ad496d, 0x9e44387b, 0x5472679e, 0xd80cf82c, 0xf52fb0c4, 0x4f500d63, 0x1773a55d, 0x47d96464,
+    0xd7f78796, 0x3718d05b, 0x5209863d, 0xe99ef475, 0x31e62d4f, 0x7af0891c, 0xb14c0a96, 0x628a5ead,
+    0x278f744b, 0x34ca5221, 0x98b7e4e6, 0xfd79d24d, 0xbbc3fbe3, 0x97c59abf, 0x06bca181, 0x2044e8da,
+    0xcebe797a, 0x722959d8, 0x086c002e, 0x1db5a3cc, 0x47575e77, 0x98382ac1, 0xba5242a1, 0x96f9ec95,
+    0xba1c21a7, 0x68a51733, 0xa1824565, 0xaaddd165, 0x91e1906b, 0xbc671b5a, 0xe27c65ff, 0x4bed77a7,
+    0xc482baee, 0xd4bfff8b, 0x3cac9d09, 0xc336d8de, 0x19567fb4, 0x81717978, 0xd2f4104b, 0xd11092ae,
+    0x6e911dd3, 0x9a471e4f, 0xadf299b2, 0x0f152da6, 0x0ae86354, 0xef0c803b, 0x6f040f1f, 0x94a86e46,
+    0x32e5d944, 0xa1c77757, 0x6c2afb53, 0x1ff3793b, 0xe2c0c609, 0x240533d9, 0xab95abd5, 0x77f57fbd,
+    0x3a456c2e, 0xe815a661, 0xdf7063f1, 0x57357dce, 0xff95b392, 0xb54267fe, 0x0e4336d1, 0x33e2669b,
+    0x031b3986, 0x029823de, 0x466956ad, 0x8c5aaa6a, 0x8821e300, 0xf4834f0e, 0xb02b76d1, 0x3c541a4b,
+    0x2cb57dcd, 0x1c950027, 0xa8ec924f, 0xe4890ada, 0xd8e5ea96, 0x960d6f9f, 0xbe616f8b, 0x0c33ed20,
+    0x2ad71443, 0xfc16c5ff, 0xacd53788, 0x52619c2b, 0xac4ded63, 0xa5107407, 0xbca4d6a6, 0xc0204bf4,
+    0x869878ca, 0xa0bb51ca, 0x65895787, 0xfbfd1f01, 0x87861259, 0xfadc8e91, 0xd57934a8, 0xd0894c2e,
+    0x4f7e86e4, 0xbe5e8b03, 0x15c48ac2, 0xb63a511a, 0x035899cd, 0x95e5a217, 0xee952c49, 0x76ac05c3,
+    0x2b6d7126, 0x88962c2e, 0x09d3f0b7, 0xd7231021, 0x3377a032, 0xecb50362, 0x6eccc93b, 0x4e7bc155,
+    0xeeebd708, 0xdbcb8d99, 0x9f6d1c65, 0xa571cba9, 0x541b64d9, 0xb0f6be2e, 0x017a6fdd, 0xb0b9ae5e,
+    0x9eb9e3e0, 0x62902a87, 0x27bacee3, 0xbac0731c, 0x3774ac85, 0xfa27492d, 0xb01fcafa, 0xb11fa139,
+    0xcd211e93, 0x66b2b1af, 0xc832386d, 0x8119d846, 0x4f902a89, 0xaf90cd42, 0xc4a829b8, 0x411baf2a,
+    0x2e1b688e, 0xf5608f7a, 0xe52f1d6f, 0x2da81beb, 0x2bf1b635, 0x0b02b808, 0xf91fc9f7, 0x6ee0d17c,
+    0x3e7430f5, 0xb9a656c0, 0xcd2758d7, 0xc191b072, 0x615590fe, 0x6c19e551, 0x6ed95291, 0xed36781d,
+    0x2ce7c7fd, 0x9bfd295f, 0xc1a12a2e, 0xb3bf5d16, 0x96f45868, 0x6f11c087, 0xc50b9a67, 0xbc41c80e,
+    0xda3c3944, 0x3f7e58a4, 0xb85ea856, 0x62989d8b, 0x7ade57d3, 0xe4a83b33, 0x4665e10a, 0x135ef9d5,
+    0xdb675beb, 0xe3d59d64, 0x8132824b, 0xd9c61b17, 0xcbd62669, 0xa00f4c22, 0xd64ef534, 0xa3f8d78a,
+    0x3bc8dd58, 0xf3b422d5, 0x018a7759, 0xea159c18, 0x1721f16f, 0xe8e2abdd, 0xcc6d0aef, 0xb9683c47,
+    0x4077a081, 0xe9edce4c, 0xfe707335, 0x84a23100, 0x9951fc34, 0xabd6c23b, 0x115805b2, 0x4915d870,
+    0x36d9488d, 0x10a17827, 0x23ee26bb, 0x7fbb598b, 0xf0a15e5d, 0xb73f8944, 0x17ea5473, 0x8d18841e,
+    0xe1c6e8a2, 0x08db7fcb, 0x14fb1325, 0x0dba688e, 0x08eea52f, 0xb937279a, 0xcedd6a98, 0x74b35c9e,
+    0x91996462, 0x60ff903c, 0xd025bcba, 0x09a6f4ed, 0x8a22f71e, 0x8b03c593, 0x51d8ae2d, 0x4494e30b,
+    0xc784d218, 0x77dddae8, 0x4c799f4e, 0xeca8e22a, 0xa273d476, 0x95c97d0f, 0xaf23340e, 0x14e79283,
+    0x42cf9d1d, 0xe90a5c96, 0x77d1c468, 0x2b9e6c17, 0xbd3e56cc, 0x12871e29, 0x886b2d8d, 0x13fe597d,
+    0xd7acc90f, 0x656acc64, 0x0efc9f58, 0x4ec77b91, 0xea0c7501, 0x692475e8, 0x65443521, 0xb6148979,
+    0x8f70a2e0, 0x6369935a, 0x8c5a928f, 0x52eaea4b, 0x1ddc2c01, 0x50f5d556, 0xa8e1d919, 0x98c4ebb6,
+    0x66f65e43, 0x78dd4e73, 0xed76e585, 0x615c59fe, 0xb8243479, 0xe55f12f5, 0x39b60f34, 0x339234aa,
+    0xa297bbda, 0x0291704f, 0x12d2f973, 0xbd5eef59, 0x56b737d5, 0x137f1f70, 0x0de51041, 0x7ceeb30e,
+    0xd5084cb4, 0x8f18331a, 0x65d1c00b, 0xb018d32e, 0xed867028, 0x698176c7, 0xde14bc79, 0xa824a926,
+    0xd1531c93, 0x7438cb66, 0x0203b462, 0x43483164, 0xbce36d44, 0x2f4a3889, 0x9dd1bb31, 0x3b0bfbcd,
+    0xf5cc0dcd, 0xf9421183, 0xe9d7ae8c, 0xdb0815c8, 0xa3abf9e1, 0xb127bac6, 0xbe1a2cdc, 0x6e66205a,
+    0xf13ecf9c, 0x3823bc62, 0xa43ae95a, 0xd78a1aba, 0x2fc34803, 0xd6ac2915, 0xec13d89a, 0x676ebe13,
+    0xf8e44249, 0xeedfdc02, 0x560779a9, 0xbfc5a232, 0x58428fc0, 0xd1f83c91, 0xa3f6fec2, 0x267b5212,
+    0x79cc2f75, 0x8a8410c3, 0x7778e29a, 0x121eb6ad, 0xf586ed0b, 0x2ec2557a, 0x2b37d8a0, 0x2eed4c59,
+    0x6362d955, 0xf03f1fb6, 0x9af45783, 0xac832dbb, 0x5dda6eb0, 0x5437afe2, 0x9d1e4811, 0xfab9e78c,
+    0xc3fcfff9, 0x70a9c562, 0xee462695, 0xc178955e, 0x55cb8408, 0xf116fa33, 0xd0b7533b, 0x16da70d0,
+    0xc1531774, 0xe22a1f4e, 0xd519eb8d, 0xccdc6c19, 0xda872df1, 0xab2ef550, 0xeddf7a5d, 0x69ee8a72,
+    0x909547fe, 0x89517b2c, 0x1c073b42, 0x0d076c8a, 0x9d1b9ea1, 0x4fd39a19, 0x0edaefde, 0x19999323,
+    0xf1f3c8b4, 0xc911404c, 0x52a130f0, 0x8e0589d1, 0x85c8afd3, 0x6110bd1d, 0xe7dd8de7, 0x893751f6,
+    0xd2734d3b, 0x2dd52564, 0x8d641086, 0x4993e4fb, 0xcd2eef24, 0xb0f5a2d7, 0x5325e139, 0x6c368599,
+    0x10ffc859, 0xc8ed527d, 0x22524077, 0x9df23243, 0x15e33816, 0x548c50f8, 0xf8d58085, 0xb0dda4ca,
+    0x2f576de4, 0x94b07d0d, 0x23c7b1c0, 0x5d9175ec, 0x32751279, 0x42fd1769, 0xa99e6b7f, 0xaa2c4ad1,
+    0x67a480d0, 0x04231c72, 0x17cc7e76, 0x8fe2a5de, 0x96731221, 0xc5512a2e, 0x9454c656, 0x90527f69,
+    0x9ba6595d, 0x938dc4ce, 0x177a9c04, 0x7ad8c5c9, 0x9166e957, 0xcaf58753, 0x3ce499c0, 0xe886934d,
+    0xbf7f9b50, 0xef79e94b, 0x97a4312b, 0x08a751b5, 0xf31f8385, 0xaf18be03, 0x00585ca1, 0x6b67ec80,
+    0xb0fb898b, 0x12de0948, 0x1b91fa5c, 0x7064da53, 0xbc1c871e, 0x60e81158, 0x0e5f8601, 0x295b31cf,
+    0xa3d02577, 0x0b022928, 0x6dc3ad8a, 0x144b89cb, 0x8bd4c604, 0xea836b3e, 0xd73cae78, 0x79b15302,
+    0x248eaa41, 0xe77d2267, 0x80634613, 0xd842de9b, 0x1fddd1be, 0x775b06c3, 0xc928e69d, 0x68100fba,
+    0xd298eb30, 0xb24926e7, 0x57e2f5fc, 0x1c0724c3, 0x61629ad8, 0x852b7e8d, 0x4cd1761a, 0xd53d769a,
+    0x283fbf7d, 0x1b468415, 0x4be4076f, 0xabc74b50, 0x9e2148f9, 0x72abe6da, 0x66482d6e, 0xa424ee6b,
+    0x52ff623c, 0x66c95966, 0x8b563647, 0x825aa55f, 0x2fd24af2, 0x5282b1a0, 0xcd92c2bd, 0x6882289a,
+    0x4d8bd059, 0x01b4c646, 0x86a4f874, 0xea95ad71, 0x84608dec, 0x2bca5398, 0x7ed21665, 0x6cec23e5,
+    0x9e423f3c, 0x7fbe9eba, 0x6d51ac44, 0x8e4d40a7, 0xe6f906e9, 0x392af242, 0xa307453a, 0xd7ae6fa0,
+    0xb88d9644, 0x17d3cfca, 0xa3a964c9, 0xcdcf006e, 0x6e988443, 0x2dc99152, 0x50ebe8c3, 0xdaefc9de,
+    0x2f72c5db, 0xd1bae1e2, 0xd77919fa, 0x5bdbaebe, 0xd412c6b1, 0x1b57e43a, 0x912d2e0c, 0x4e712eb1,
+    0xcbb7998e, 0x02385a43, 0xef649e38, 0xe7034c9d, 0xaabe396d, 0x9c8d2045, 0x022c1eae, 0x48f8dd24,
+    0x71367d6f, 0x349f131b, 0x994ac1d6, 0xd1fbb2b3, 0x4c784d86, 0xe35c5b0b, 0xbd2f4251, 0x1fc29cad,
+    0xfacb18fc, 0x3e5e5ba7, 0xdf002a4c, 0xb439f3e8, 0xe8f535eb, 0x91cd3764, 0x516b14e7, 0x88c43bbb,
+    0x6c7090e1, 0x70b05f67, 0xd9bc7f87, 0x64d1f931, 0xf08d9eac, 0xe23d1718, 0xede66d96, 0x2c5f628c,
+    0x39d5ac4e, 0x22811236, 0x4efd8187, 0x5de70d1e, 0xaaa59ff1, 0x7125b323, 0x6f4ed060, 0x45b7436f,
+    0x643bbe11, 0xd7c29105, 0x9b310d5c, 0x80dc8ded, 0xc189546f, 0xb341d6e8, 0xe223d736, 0x600668f2,
+    0xb5310bb5, 0xf096819c, 0x96e88c1e, 0x4296b32a, 0xe1860c8c, 0xbde188e7, 0xe1dd044e, 0xba7ded84,
+    0xfa28a6d2, 0x3efb8936, 0xdaefe64d, 0x0567c459, 0x2c73a373, 0xf0c66927, 0x061995aa, 0x51ae4fa8,
+    0xd12078aa, 0x2a364bd9, 0xef8416be, 0x6bc090e3, 0x601aeba1, 0x1372be49, 0x3eae2562, 0x7f83d1ab,
+    0x4a39fea6, 0x9b758b2a, 0x89f951c9, 0x922ad250, 0xdab53187, 0xc1354ec2, 0x48f9754e, 0x5a034b96,
+    0x18223d19, 0x66cc75ea, 0x59bcbb5f, 0xce810494, 0x03250134, 0x7177b7c0, 0xb20596fc, 0xe20ed78d,
+    0xca738a6b, 0x3099e368, 0x60ba71d1, 0x4e80acde, 0x4fe609ef, 0x9cb1e168, 0x7676134e, 0xe850ed7c,
+    0x15c968f5, 0x7a2bb644, 0x1a9e1f07, 0x27e4b144, 0x77533a24, 0x86fd1390, 0x77a3b49f, 0x8302f5fb,
+    0x22d1124e, 0x20a6f768, 0x0c55859b, 0x5d8f099e, 0x3a505b88, 0x512dafe3, 0x633103c4, 0x38d4e2ed,
+    0x6278cf01, 0xca69427d, 0xf0de79b6, 0x016974bc, 0xdb11078f, 0xeccce93f, 0x17c36577, 0x1b886db0,
+    0x3ba1d8bb, 0x4db7e1fb, 0x3a421a83, 0x3f01af74, 0x77486490, 0xb171ac91, 0xc1f86bdf, 0x54a44c99,
+    0x6f9c88d3, 0xa2a55488, 0x1ff85ea4, 0x8b57e636, 0x76dce3a3, 0x15006f4a, 0xe6744aca, 0xb5dce696,
+    0x615339ad, 0x0488971c, 0x2f15f096, 0x40c333a9, 0xb6a42708, 0xecf5e052, 0xc15a2721, 0x3429524e,
+    0xafd2ab4e, 0xf0e91dcb, 0x12c7e64c, 0xb868b16a, 0x34da5cca, 0xcd6e87c4, 0x4b6f69a2, 0x56741f1f,
+    0xd2d7a72a, 0x1b60748d, 0xc4dc7626, 0x2511ca40, 0xd6a98ba7, 0x32df503b, 0x05245886, 0x1c3cb727,
+    0x9d947e77, 0xf6709356, 0x98c393cc, 0x319068ff, 0xafc76433, 0xc76134d1, 0xed2c131d, 0xe80c9d30,
+    0x60cc70aa, 0x4c4d2695, 0x90280a01, 0x8f2588b7, 0xf1962111, 0xd4fda824, 0x8cbec540, 0x73273787,
+    0x68d2ed3b, 0x575f0dff, 0x855f69a7, 0x7d6bf5ab, 0xc44f86ee, 0x4d9e3bcc, 0x26e1d79e, 0xa9828a64,
+    0x92b8c4ee, 0xe4f46d9c, 0x18900d25, 0x96b4e782, 0x30cf9b5a, 0xeb9155be, 0xe89b8452, 0x87d8fe0c,
+    0x141fd6c9, 0x97a412f3, 0x7abc1ba1, 0x3ab38842, 0x6e36957a, 0x479bde55, 0x0681bb1b, 0xfbdfc461,
+    0xaf938d4b, 0x60334db3, 0x5b9f8fc4, 0xb9743963, 0x436933a3, 0x420c559b, 0xcd083d43, 0x225ddc2d,
+    0x5faf818a, 0x2a00de49, 0x161a1f6a, 0xb2e1c4ef, 0x8050bab3, 0x9c265dbf, 0x83ee9530, 0x2c0eef4d,
+    0x9e054da3, 0x00544f87, 0xd45efcc8, 0xff567aca, 0xfc2132b1, 0x8243af5f, 0x99df77ee, 0x759c0a2e,
+    0xe62cf6d0, 0x452f892d, 0xc90be0dc, 0x9f5efedf, 0xbd5c3eca, 0xf025aa66, 0xb9df94f2, 0x15fa3474,
+    0xc26cb0df, 0xc91bef15, 0xfe7072b3, 0xb8a5626b, 0xb48255f1, 0x0976c370, 0x87e5a656, 0x2458cfec,
+    0x5733e941, 0x0037b320, 0x98ac6b95, 0xe4e9e38b, 0xac00e2b5, 0x3c06e62b, 0x4af34b86, 0x1f4ef2be,
+    0xa6387a9e, 0x0c5abfec, 0xca099212, 0x39f1c9b2, 0x9a373ac0, 0x85410a81, 0xe3d6e1ca, 0xcda422e8,
+    0xb72e61db, 0x6fe56230, 0x9549d411, 0x4b84c536, 0x4f5ffce7, 0x3a17c980, 0x617ab61d, 0xe79c21e4,
+    0x165ec0e1, 0x7a644030, 0x1eaace50, 0xabc1d82f, 0x03015fd5, 0xd2c1737f, 0x430c7cc1, 0xf916814b,
+    0x30b28540, 0xa336901d, 0x240c2489, 0xbe92ca69, 0xd39fdf1c, 0x3c3cf81b, 0x0a863818, 0x1203f33c,
+    0xba077dab, 0x6c395b86, 0x4b0ba66e, 0xa5169c7c, 0x57059bce, 0x9fe49933, 0x5f46d35a, 0xdd40843b,
+    0x00000000,
+    0xcf0b3a0b, 0x6d590105, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a,
+    0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000148\
+                         21387422376473014217086081112052205218558037201992197050570753012880593911808 */
+  { 0x00000000,
+    0x7ee7047c, 0x04069115, 0x98b41c0f, 0x1f3e1e70, 0x4bbd147c, 0x1ebd9ae7, 0xda677c3b, 0xa50127b8,
+    0xbcfcbf05, 0x5019d4e5, 0x4e1add1e, 0x0d12c160, 0xc8a032af, 0x8a7912bb, 0x16bd2d33, 0xca09cdf3,
+    0x35054426, 0xb445d83b, 0x6715cd49, 0x682661bb, 0xbacb684e, 0xb53b4682, 0xd40089e8, 0xe33f2b2d,
+    0xbb225e37, 0x0d820661, 0xed75821a, 0xd12eb964, 0xf1e17735, 0xa2987a92, 0xa34b67fd, 0x4aca1d0b,
+    0x9c1ead58, 0x1ddceb2b, 0x8a45ac26, 0xc9013013, 0x1fe16fc4, 0x02f35ebb, 0x50ead451, 0xb704f0d1,
+    0xb499ded8, 0x9986bec3, 0x2208deed, 0xfa52dde5, 0x5d8f91a6, 0xcbcb7325, 0x3f9bcae6, 0x7c0663ba,
+    0x1a4dbfd4, 0x1dfe6c45, 0xfa36ae22, 0x308e8a64, 0x9be4b652, 0x3db54ee1, 0xdfd8e2df, 0x9cfe319b,
+    0xeb92c071, 0x15d7be7f, 0x97e7e098, 0xbdaec1a8, 0xa49fb38d, 0x0894186e, 0xccf376a6, 0x6c1f14ff,
+    0xd86792f4, 0xf9e4c5fa, 0x3af7174d, 0x231151ba, 0x47941d4b, 0x3bb68240, 0x99900309, 0x704484da,
+    0x9f940743, 0x70bb0985, 0x2ed1607c, 0x85100de4, 0x673b3f25, 0x54f41c6d, 0xa387fa66, 0x03934b28,
+    0x8d4b507c, 0x1d8cc6d7, 0xf03db19a, 0xa8bfb896, 0x2742a4d8, 0xa2f4ff37, 0x0afc2860, 0x5881bafd,
+    0x6d792ddf, 0xae5a5b5e, 0x205eabf0, 0xd9f7e2bf, 0x89602dac, 0x9dc3bf8c, 0x0e7759ca, 0x3cc78e3a,
+    0x98087f05, 0xfdb7a04a, 0x0b82f4f2, 0x36163d11, 0xa1198846, 0x715bbf7b, 0x4ac01366, 0x22e6b11e,
+    0xd46d9ac2, 0x03252b71, 0x5e12ff9d, 0xad21a5af, 0x2f84e680, 0xdef90898, 0x1afedf18, 0x17aba2a0,
+    0x123d81d0, 0x72b275e7, 0xc56cca65, 0xe11b3e49, 0x711bc973, 0x6d60f7e2, 0x9dd7ea58, 0x6ccc42ca,
+    0x48a79639, 0xac658e5b, 0x33985340, 0xefd16706, 0x5175dd6e, 0x02f53e86, 0xce2a3e72, 0xa84921d6,
+    0xf58d6f0f, 0x3c01528c, 0xd30605aa, 0x23ee95be, 0x86db58a4, 0x82613b96, 0x1bdf608c, 0xebd23b3d,
+    0x4070d943, 0xbfa103d5, 0x78aea1ec, 0xe92af15d, 0xde6d1e8e, 0xaa9c6e0a, 0x73b5a7a1, 0xc1a856d5,
+    0x041c6de8, 0xceef20cb, 0x1327e56a, 0x266d644e, 0xcb7ca4f2, 0xec502478, 0x18f585f7, 0x67e7f2a5,
+    0xc03a86c1, 0xf17c0746, 0x2e6c705c, 0xd00a16d0, 0x1bf98a06, 0x41098e31, 0x85531aad, 0x1e49f57b,
+    0xac7e3ab5, 0xe9e29687, 0xf36617d1, 0x85df4394, 0xbfc085c9, 0x3c44465d, 0xb9a98a6f, 0xedc36851,
+    0x457dc326, 0xfc724b3a, 0xfbf97d53, 0x049e2446, 0xd35f9cd6, 0x2b693d37, 0xc5b77f9b, 0xb741ca7b,
+    0x8712b16e, 0x8a76ff87, 0x4e4427f4, 0xb128c728, 0x24fb382d, 0x6e734bc5, 0x3a22e8fd, 0x0c2b8d0f,
+    0x85ab1183, 0xdd294292, 0x6b0d00cb, 0xf0ea689f, 0x9e683fab, 0xe707e9f7, 0x6f078c54, 0x85a9feea,
+    0x22e0002f, 0x79e3b4f9, 0x6f447827, 0xe423cb8f, 0x2e0dfcea, 0xbd0ff1aa, 0xa277424a, 0xd1f22e0e,
+    0x72ff5fd3, 0xcb1891b9, 0x519f34c3, 0x7d6912ee, 0xb216e4d2, 0xbf2732ae, 0x79bd2002, 0xa704ccfb,
+    0xdf54853a, 0x6dd5eaff, 0x24768401, 0xcbb12784, 0xc37639e8, 0x837dd866, 0x8be94a7a, 0x5a87969f,
+    0xed827744, 0x649a28ba, 0xf1406a1f, 0xe023b748, 0x3496c5bd, 0x796264d3, 0xb18ecd98, 0x3bd67ea6,
+    0x707f7bea, 0x09e77412, 0x1c80428a, 0xa0da4d85, 0x38ba2a6a, 0x718e2722, 0x60fbd466, 0x5d0004f8,
+    0xf4a8d02d, 0x0aa9169a, 0xd7114dda, 0xb3eba788, 0x428095d6, 0xf4138e30, 0xc5c8d23f, 0xf79cab02,
+    0x029476ee, 0x1bac5302, 0xa3f5a12a, 0xc2907de4, 0xfacad387, 0x8d261219, 0xcd409705, 0xa8b97cc7,
+    0x21f0d896, 0xae368d84, 0xec33e32c, 0xc158c2ad, 0x2a5a2d5e, 0xedf5f58c, 0xc2382fde, 0xe3cb7b31,
+    0x993b81cf, 0x6db43b30, 0x81f19ca3, 0x1798b006, 0x9824fb44, 0xb712dbcd, 0xf2777f4d, 0x87a18cfe,
+    0x98f633f1, 0xe9081071, 0xfce9a6a0, 0xad57fa92, 0x1352a8c7, 0xbd636bd6, 0xec2deddd, 0x51948a9a,
+    0x3c568ecb, 0xe1b4e391, 0x3e0ce3d2, 0x080bc441, 0xcec81692, 0xa4ae80cd, 0x1c6e7cc4, 0x52b38b3d,
+    0x32e3a62c, 0x1b974930, 0x505736f9, 0x57f66921, 0x64a265d9, 0xcec6ebd8, 0x00c6ce61, 0x86c01c3e,
+    0x8711b95e, 0x85b1c7fd, 0xd2ee7c07, 0x5b6ab0dc, 0x79078853, 0xaeaab9d9, 0x6577e208, 0x4cd06f4e,
+    0xef67d1fc, 0x7d3439e0, 0xd7fafdfb, 0x744a64f5, 0xf5091b7c, 0xc2f0ca0e, 0xdd09637f, 0xf4188cd2,
+    0x8d6cd95f, 0x4e00c21d, 0x286d8f9a, 0xd29eb683, 0x527b910a, 0x1ea46696, 0x4417d3ab, 0xf3b64692,
+    0x88386781, 0x3e752d32, 0xb80cfa8e, 0xd97a9d51, 0x769d87a7, 0x011e8cd2, 0x73b0216b, 0xf0e58639,
+    0xeb0224c5, 0xf73caa67, 0x0907e6a9, 0xe4e37b8c, 0xdf56fe71, 0x0af36432, 0x200ab67a, 0x83c3facb,
+    0x41808325, 0xc4662506, 0xb5c82f32, 0x9f6615cd, 0x8889e58b, 0x82378f01, 0x555b853e, 0x6e5bacda,
+    0xd5ff5330, 0xada4425a, 0xfeffebbe, 0xa150c2cf, 0xa2b5920e, 0x7a9e68b7, 0x063a7089, 0xc2bfb761,
+    0x85abad11, 0xbb605e9d, 0x9f966525, 0x27289fca, 0x3c3a347e, 0x45705369, 0x10295c4c, 0x8e261723,
+    0x724b6d1a, 0xeff967f0, 0x050f424c, 0x05e523fa, 0xc7548247, 0xe11a684f, 0x2e8e87a9, 0xf59fc4d5,
+    0x85eb83d0, 0x3444cb44, 0x67e7efab, 0xee340ba5, 0xf184d8e5, 0x854d1fd0, 0x59a64717, 0x73588e40,
+    0xe02a0ccb, 0x6703a7d5, 0xdb1a8f28, 0xc0d77d6a, 0xbf99bd97, 0x2a815eb7, 0xbec96071, 0x88e66e93,
+    0x36d2fb56, 0x0de2dd07, 0x47df1ee1, 0x61c96203, 0x69420efb, 0x52a7ec5b, 0xa41a42a0, 0xb19639a2,
+    0x5d14308e, 0x55a19fa5, 0xdea14e34, 0x799d66db, 0xe8651c71, 0x846e7582, 0x89eb839d, 0x018ceeba,
+    0x3646a28b, 0xe5cf4ca2, 0xe29f3042, 0x51f23f08, 0x3f4f49bd, 0xc402689e, 0x40d5a1ca, 0x4ac1c00d,
+    0xfad89a9a, 0x53852018, 0x5543207d, 0x96c47458, 0xa0dcb36d, 0x867f488e, 0x05657f41, 0x6f82722e,
+    0x04ace150, 0x7493fa2d, 0x7374b972, 0x52493aaf, 0x5a35ea43, 0x3cd21e30, 0x076c0062, 0x07f5ff1e,
+    0x76df4bbc, 0x2ee166c3, 0xf0a52332, 0x268c9960, 0xc9417ab1, 0x885ed20e, 0x3c7aa147, 0x5c065a6d,
+    0xbf3168da, 0x89083033, 0x62074b40, 0xf786a1f7, 0x3d1c7f91, 0xb66ec21f, 0x01887fd0, 0x132a6eb5,
+    0x07151375, 0x38477942, 0x981bcac4, 0x3467b843, 0xcdd42cfd, 0x7d78a7d0, 0x85afcba8, 0x9eb1d648,
+    0x4d96e2a8, 0x19c11d68, 0xc12b9ca4, 0x01c54779, 0x0f94ac56, 0x67d8baad, 0x69059868, 0x590b6d8a,
+    0x0344fe6b, 0xf23f0277, 0x94e36c4d, 0x57f9f045, 0x78b1ad78, 0x9491173f, 0xa7ba4af1, 0x515be47e,
+    0x0b062942, 0xccf064d7, 0x7f5adbcd, 0xefbf13f7, 0xa50b919b, 0xdc79f763, 0x4afdb29d, 0x097b9058,
+    0xb6eba407, 0x26920347, 0x5ed867b9, 0x1a6d50c7, 0x9308f8ff, 0x9570b274, 0x5086df39, 0x24c30d7e,
+    0x48353cbf, 0xd4d4d81b, 0x0ecbf75b, 0x6e9a3939, 0x750264f0, 0x24e6e7e1, 0xbee40fef, 0x2288886b,
+    0xa191bc85, 0xdc665a3f, 0x7a6e9216, 0x88f3027c, 0x218aab98, 0xbdd3981f, 0x505eda3a, 0x528fa589,
+    0xcf1e9355, 0xf9a7863f, 0x5c778a00, 0x73f10f82, 0xfac52b27, 0x045fdd7c, 0x1ac7e5f7, 0x6aa0c3a6,
+    0x5a8f69d6, 0x3d520132, 0xca256c4f, 0x23f9e2e5, 0xd0d7b919, 0x258f1e30, 0x8da5fd31, 0xd1bc5dac,
+    0x8f769e03, 0x0002dc0e, 0x0d8de697, 0xae6a9bf6, 0x0f77c839, 0xa871bdc8, 0x40a093fe, 0x572a8ca9,
+    0xe9936123, 0x645fc0f1, 0x49a5d1de, 0x3e4a5c1a, 0x1c4e387d, 0x77e664d6, 0x9ef27489, 0x55938419,
+    0x28eda3cd, 0x3f5711fe, 0x3cf082ff, 0x51a1113f, 0x724e8ea3, 0x28f77d0c, 0xc4e034a6, 0xdf5f9900,
+    0xf71f09b9, 0x369bb293, 0xe6e92d8c, 0xa5f54065, 0x225136cd, 0xbdcd66a5, 0x9a96cf2c, 0x92a6a0de,
+    0x5eae81db, 0xf3eacf8a, 0x337990ec, 0x6a14b757, 0xe5d9ac1e, 0xa2907ae7, 0xfa379583, 0xd94d50da,
+    0xaaddd721, 0x659966d8, 0x440872c2, 0x8d0d639b, 0x63b49e4a, 0x6b1032ca, 0x5e532dfd, 0xf2e61f7f,
+    0x8b9fbc16, 0xc54ed249, 0x78edd666, 0xdf1e444e, 0x822ddf50, 0x7c03e402, 0xcdc17193, 0x0cb50c1c,
+    0x317efcb6, 0x297025cb, 0x64b7c019, 0xd4be7109, 0x76ae54e2, 0x9124d4f1, 0x05dee682, 0x3e362317,
+    0xba247080, 0x87eed5fb, 0xe8ed43a2, 0xe1050c63, 0x51f36a8f, 0x659a32ae, 0x66ae2f25, 0x194151d4,
+    0x9a53f8b6, 0xcd51806c, 0x774c3f69, 0x5f9f347d, 0xcb519472, 0x0743a735, 0x944b77fa, 0x90d303c7,
+    0xb162f212, 0x65ba2966, 0x933629f0, 0xafee0ae2, 0x371535a1, 0xb56dc351, 0x9884f1e4, 0x2edeb2c7,
+    0x387be20b, 0x19879b06, 0x5c09225c, 0x0c1acff0, 0x105bea04, 0x572ed498, 0x0840c413, 0xf2825ffd,
+    0x5c86ef19, 0x5f2aabf3, 0x446a1632, 0x5e7dc004, 0xadc45b56, 0x2e438358, 0x60e4ccc8, 0xab4fdc43,
+    0xf5d6033d, 0x6b9f40b5, 0xf0462767, 0xd8784fff, 0xca2d52f5, 0xbcb45111, 0xc4633952, 0xbf5bbff6,
+    0x4d2ff1b1, 0x1048624e, 0x57e127b8, 0x8f8021fc, 0xd2f8d6ba, 0x53a3669a, 0xe9a239f0, 0x4cd0ee52,
+    0x92b47cbb, 0x1207430e, 0xb7dd1757, 0xf00c48f1, 0xc97108ab, 0x63cbc103, 0x190fda71, 0x2e7ef59e,
+    0x26df2458, 0x1a2e3f87, 0x9a8ec3ec, 0x1a00cb97, 0x7070af95, 0x015486b6, 0x624399bc, 0x4286647d,
+    0x8d1bc031, 0x62fee804, 0x8ed8e6b2, 0xbfe8ad4b, 0x97a9c544, 0xbc58277c, 0x6f5e1e26, 0x8ca1c977,
+    0x186b05c2, 0x13d0afc7, 0x9784f4db, 0x11818f60, 0xcb2d2134, 0xe3f55320, 0x0e7715f6, 0xa8a94d78,
+    0x5357958d, 0x41db482e, 0x4bd612fa, 0x1784d02a, 0x1ccdbf47, 0xfdca9938, 0x91365b44, 0x8935a55a,
+    0xde143040, 0x1e75d101, 0xad65ef14, 0xadedef6d, 0x74e4a8ea, 0x757b1e1b, 0xa4ba3a7c, 0x87bee259,
+    0x033e0fd4, 0x79413ab2, 0x49c14916, 0xb9feeadd, 0xf6494b5c, 0x3d1dadc4, 0x6f8845d7, 0x1626cc08,
+    0x12827521, 0xc6c86e33, 0xa041d77e, 0x3ad85efb, 0x32eb6637, 0x1adc8451, 0x6601c99e, 0x64fe2159,
+    0xb8c37f3d, 0x1b8fdc94, 0xb9e3d616, 0xf3722606, 0xce8eeca9, 0x6145435b, 0x2084cdfd, 0x47a3a20a,
+    0x0275ed6b, 0x330e5de2, 0x5ccaf792, 0x1c9be731, 0x21356d3f, 0xd0f541ad, 0x59ad2dda, 0xaf747195,
+    0x0cbfcc1c, 0x388ce5e9, 0xb2cefa7a, 0x076d12af, 0x9b158516, 0x1a2824a9, 0xce7eaff2, 0x359390bb,
+    0x4ee6328a, 0x0e555858, 0x0da09536, 0x682ba3b7, 0x77da82fa, 0x3d2d0a00, 0x3654c380, 0x3401ab1c,
+    0x628f6535, 0x1ce3bbd7, 0x04aaf6d4, 0x9e2d223f, 0x25d92f8c, 0xfa9a6864, 0x52f4f36b, 0xb1bc0d06,
+    0x771ba8a6, 0xc90e2e53, 0xc3a1eec9, 0x78350ba4, 0xda2bb591, 0xf8dbae6f, 0x98c50b83, 0xcdbbfc12,
+    0x888b3480, 0x76f90312, 0x2506cda2, 0x8389da6c, 0xdc286130, 0x09a139ea, 0x5c7ade0a, 0xfb15da65,
+    0xfdd9c99f, 0xe93a0aef, 0x54c0a17b, 0x7e8fa227, 0x0d249dda, 0x8a40cdd1, 0x4e6b2cc1, 0xb5431cc4,
+    0x51deed49, 0x381975ee, 0xcc99e348, 0xcf91bfb8, 0xc35e93e2, 0xc96c6810, 0x97e94573, 0xf4711faf,
+    0xa35abbf0, 0xf69e9a4f, 0x436d8c39, 0x9586a598, 0xcbe87af2, 0xe6fdf1f7, 0x6a388a2e, 0xcded3601,
+    0xa5827d97, 0x73612f0c, 0x04bca677, 0x2dcbe94b, 0x35d05a0d, 0x0bfa05d4, 0x9d03e829, 0x0b1da0e0,
+    0x41f20369, 0x08a9011b, 0x88e3c92d, 0x400b867f, 0xc952c89e, 0xd04dc535, 0x4dc8f450, 0xe5569ee1,
+    0x35aedeeb, 0xa6b9fc7d, 0xda1b5965, 0x6267816e, 0xc3c56d50, 0xaa261330, 0xbae8e6d4, 0x401601dd,
+    0x494ec5a5, 0xbb45ee80, 0x9f21e3b6, 0xee41bbbe, 0x416d1cca, 0x82d5c031, 0x69e344ef, 0x52b750d4,
+    0x14fbf535, 0x1cf24b04, 0xc325ec8b, 0xabe1ced9, 0x4833d79b, 0x60af4f67, 0xb1fc5086, 0xf95a983e,
+    0x56993806, 0x4117d122, 0x010ef598, 0x33e2d69d, 0x6f249a65, 0x42f29714, 0x16c70fb5, 0x8f638da3,
+    0xcde7b3ec, 0x5f12f76b, 0x8a2979ad, 0xfaa22114, 0x00de1b34, 0x4feb62d0, 0x4ab4e930, 0x43e0ef1d,
+    0xe0f1bf3c, 0x425f2b41, 0xedc67cfa, 0x6672d0da, 0xf784593f, 0x57ef5d43, 0xdc856e05, 0xd900b759,
+    0x75361c2e, 0xa08ecda1, 0xc9ebd9cb, 0x2624eda2, 0x99c29bd4, 0x468314e7, 0xc87d8e32, 0x9cb83573,
+    0x8e837443, 0x6e6a70c3, 0x249d0165, 0xf0c5256b, 0xf5d2e8be, 0x1318b764, 0x1f314e4c, 0x149f0d6b,
+    0x94d9da42, 0x14788b2e, 0x4865a015, 0x6807af18, 0x769d7071, 0x02eaa9a2, 0x55948d35, 0xd1915ad6,
+    0x71252971, 0x4935740a, 0x54a4181e, 0x39f4ccb4, 0x9ee9c91d, 0x9298c431, 0x46319708, 0x56f40953,
+    0x488ce0f6, 0x816307bd, 0xfd155ba7, 0xccd95a98, 0x6cfdfacb, 0x5f018ca5, 0xa8227a60, 0x03081cbc,
+    0xba13f8bd, 0xffdd70e6, 0x6a64804f, 0x4426ebb9, 0x4df6b660, 0xb87b14bc, 0xea892d33, 0x561042ab,
+    0xec5fd1bf, 0x48b10aa6, 0x9aaa514b, 0x07342f7a, 0x646f7e57, 0xc3636476, 0xec8a6100, 0x3be21ae7,
+    0x541267c5, 0x79894259, 0x4bb4f067, 0x94629fc8, 0xff859e2a, 0xb9dd4805, 0xc39498ca, 0xdb41c8ef,
+    0xa8d11d22, 0xb3074b15, 0xa50e87a9, 0xca53ec2b, 0xb2c74bf2, 0x77188b03, 0x564fb934, 0x2df7dc35,
+    0xa4d1ef32, 0xb03a630c, 0xb9fa46da, 0x1629e333, 0xae154626, 0xad840acd, 0xa36764c5, 0x042bb26f,
+    0x1ebe1668, 0xa20e2ff0, 0xc512a5ef, 0x2fa95779, 0x24164c39, 0x93b35629, 0x12d50b47, 0x151b2a44,
+    0x8a416665, 0xc7c9c84e, 0x27c5d56a, 0x9ab18c4d, 0xd4c8c469, 0x464fa475, 0x3af1f151, 0x8fd37e23,
+    0xdf910704, 0x9c2af9d7, 0x23065894, 0xbc464bf4, 0xbae01526, 0x4b871f8c, 0xeae229c8, 0x8f9e6dd5,
+    0xc9921615, 0x864cfc6a, 0x7a14c887, 0xf777a627, 0xfe428af3, 0x8f780f66, 0xc23d8cdf, 0x8a7f2199,
+    0x937f6959, 0x6cbdbb14, 0xc35db6de, 0xe8634448, 0x049b21b8, 0x37ff3f4a, 0x8fca704d, 0xf68901cd,
+    0x12e1bb77, 0x8549646a, 0x2b951262, 0xa2334f78, 0x2a862b7d, 0xa8eec523, 0x0b47eebd, 0x8b1da86c,
+    0x6dc48d80, 0xe518988b, 0x1085a902, 0x83823426, 0x22e93f23, 0x8fa83278, 0x80c9761a, 0xf399c6c2,
+    0xbb6c7302, 0x6f545c81, 0xf53afa69, 0x5a00ef3c, 0xbbab10bf, 0x1b8e050d, 0xa0e05dcf, 0x80e572ec,
+    0xf5d1c984, 0xc4d2b7e2, 0x5183eabf, 0xc271a941, 0xdc97674f, 0x80de6369, 0xd6e9b7a4, 0x0596d29a,
+    0xb3f64ffe, 0x52898b2a, 0xd13955bc, 0x445a2022, 0xe1829c75, 0xe8fa270f, 0x1f932bb8, 0x172a322b,
+    0x406aeca0, 0x9e4b7ab2, 0x2655d7b6, 0x5299fb64, 0xa056b62a, 0xb9a10252, 0x27f0a0af, 0xd7f5d453,
+    0xfd4e511a, 0x54f22b3d, 0xbb91fd55, 0x8b0c14e7, 0x0d4c1295, 0x7b877ec9, 0xf6300420, 0xa84946f6,
+    0x00000000,
+    0xe7859d05, 0xb6ac8082, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd,
+    0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000074\
+                         10693711188236507108543040556026102609279018600996098525285376506440296955904 */
+  { 0x00000000,
+    0x1556aba4, 0x817d02c9, 0xc1b0146c, 0x15581837, 0x0aa1e26e, 0x29dffbf4, 0x1c38e05d, 0xf9fed4f0,
+    0x8b70c277, 0x33b29e1d, 0xa9985622, 0xdcbd1eab, 0x67989913, 0xbb0b6246, 0xd29be4a0, 0xdf49a141,
+    0x3bb22869, 0xf0345d38, 0x7bda66ee, 0xab8007b4, 0xa8d16854, 0xbaa626a1, 0x39c47111, 0xec9b22ed,
+    0xb9053197, 0x77e01f1f, 0x4ca3c723, 0x1c4ebff0, 0x87fe2c82, 0xd1314964, 0x9697979b, 0x3d37b199,
+    0xccf06422, 0x5ad8bdd6, 0x13beedc3, 0x228956ea, 0xc77d2331, 0xb3f29aa3, 0x5f661e1c, 0xc0bc5742,
+    0x658e8686, 0xbcdf607b, 0x94f2e66f, 0xe006b5cc, 0xfa7f6817, 0xde1ae0c2, 0x3f2cb068, 0xcd2ee641,
+    0xd2a62fc0, 0x093971a2, 0x69d1f05b, 0x99906006, 0x5e0ea1e0, 0xb4d010f0, 0x0c34d575, 0x2ad759fc,
+    0x99412f58, 0xc8af2b8c, 0xbbbf1a47, 0xd9523f82, 0xadeb385c, 0x22afb5fd, 0x6747f8ea, 0x4f4259cc,
+    0xfe3471fc, 0x0bfdd561, 0xb9e12f50, 0xf51a1d40, 0xc90c4d47, 0xc658cfee, 0xeb1b1a67, 0x23ae478a,
+    0x524962bd, 0x9ead0854, 0x036549e7, 0x03f97740, 0x2d3d13f2, 0xc9d8af1c, 0x7d60bdd2, 0x8724f1f5,
+    0xf38fb360, 0xbf202a0b, 0xf2c13473, 0x2132cdd0, 0x619e473a, 0xa6de7db4, 0x0f4dcce2, 0xe4cd399f,
+    0xcfb37006, 0xd44894d4, 0x3f34e68c, 0x64438b86, 0x01be1409, 0xba4a6405, 0x671096b4, 0x38d93d53,
+    0x46d59d1e, 0xc0e95c20, 0xdeb38724, 0xd4e58568, 0xc3e2abc7, 0x5d2cd326, 0xd5e39fc8, 0x567fa5a4,
+    0x1e6b9281, 0x3c03316e, 0x2942c573, 0xf1d1c2d4, 0xf38e6814, 0x6503ff52, 0xeab03af7, 0x31dd08bc,
+    0xbe8ac44c, 0xff323cff, 0xc7621fd8, 0x07689d7b, 0x602a1976, 0xde37d815, 0xcc050ca8, 0x6660a58c,
+    0x9cf98516, 0x867fc113, 0x911a28c6, 0xa25ac5cc, 0x1b4ec0a8, 0xbadc2e71, 0x3fa6289e, 0x3b7e4f7f,
+    0xbcaf117e, 0xbaec06e1, 0x1860cb2d, 0xe8479776, 0xe9cc52a4, 0x1d28380d, 0x97af5baa, 0x6a0c55c9,
+    0x88b644e4, 0xaec0588b, 0x8412e40c, 0x886bb152, 0x66f75901, 0xfae61d8f, 0x297dc0ee, 0x3f7bc0e4,
+    0xb4e43fdc, 0x59915df0, 0x7a4ed129, 0xbb4618aa, 0x8ab1f0a0, 0x8e5892d8, 0xe90644cd, 0x14081a74,
+    0xc6a691c2, 0xa9d58fcd, 0x06decd45, 0x7c0b92de, 0xb92b5f57, 0x5dfec290, 0x23998776, 0xcbe0befe,
+    0xaf55addd, 0x9b115923, 0x120c9b5f, 0x694dd9f1, 0x12115886, 0x1701c832, 0x70c056bd, 0x996e7071,
+    0x53fa9149, 0x2f8a1941, 0xdaec0076, 0x628a4395, 0x45915dbb, 0x831b8f34, 0x976f684c, 0x8742a75c,
+    0xe299a7d3, 0xb5e23a56, 0x2ca06a67, 0xcd8de253, 0xdb659281, 0x13b67494, 0xbea86eb5, 0x50ac7813,
+    0xee0734bc, 0x2f7dc7fc, 0x53f589c4, 0x85e7a6b7, 0xc7f3198e, 0xf25ae6f3, 0xf6073a19, 0x4139807f,
+    0x445c06b1, 0x2a93f1e8, 0x39a9a49b, 0x95a6d436, 0xf96c47f4, 0x4b22410d, 0x9e754e66, 0xb02c5d29,
+    0xf429b9db, 0xb500a806, 0x7eeab45f, 0x7412170d, 0x5f8b3048, 0x5187177b, 0x5f631205, 0xbd1bd119,
+    0x4d6561c7, 0xec1227c7, 0x6499b0c3, 0x7bcc993d, 0x2931cafa, 0xb68724e2, 0x3c6287ba, 0xa2960d41,
+    0xa60f7d2f, 0x5416a0e9, 0x5e3c27c3, 0xf5410677, 0x71658ab0, 0xe1ef2e6d, 0xc1967d20, 0x7755d081,
+    0x2ed76341, 0xa4ac733b, 0x6b3615bb, 0x6f349a94, 0xaef654af, 0x2ecbdf05, 0x82076730, 0xc50a3fae,
+    0x4aae71ea, 0x3691d15e, 0x596dd5e9, 0x13f9c723, 0x4b46ebc1, 0xaf5d4179, 0xc3290506, 0xce259535,
+    0xe42a6f76, 0x14457c2a, 0xbe6f6d0d, 0xf04f9449, 0x90fb5d6e, 0x2cea346a, 0xfc6ebab3, 0x5cbe3228,
+    0x91635472, 0xaa07c896, 0x69a66fc6, 0x1b486dda, 0xd7e937b4, 0xb6e9638d, 0xf9980fc8, 0xef53ee7c,
+    0x6082dd3c, 0xd49c2575, 0x885073d3, 0x0933d547, 0xdf4ce15c, 0x235aef9b, 0xd8256fe2, 0x1ee2b96c,
+    0x63350e4d, 0xd258533e, 0x8529c2ba, 0x58985df6, 0xc87f6e35, 0x2ee5158f, 0x3622e4f8, 0x4b1c8671,
+    0x363e9b91, 0x6479c92a, 0x7deec29b, 0x73a12a71, 0xea614c30, 0xcc06ea86, 0xe2b12a98, 0xf3a8d2e2,
+    0x87193ea6, 0x825895f3, 0xd0b36e99, 0x26db49b1, 0x5ed421d7, 0xfab57d92, 0x67d331bd, 0x337f43fc,
+    0xe4e955b2, 0xb9b318b9, 0x97d5fc21, 0xd5f534f1, 0x1d8e2c13, 0x087a9ea0, 0xc83645c3, 0xe1e9f65d,
+    0xa6587894, 0x30a3ac5c, 0xc5ae800c, 0x2f4a4424, 0xea6fa3ae, 0x0be976a8, 0x9503b50c, 0xbcfa775b,
+    0xebb08a21, 0xa362a110, 0x54bd1256, 0xe0236797, 0x3dfbfaba, 0x53a3096d, 0xeae549e4, 0x3b684e07,
+    0x9ad46155, 0xf9e525e2, 0xdb738a84, 0x10a11984, 0xb38e7b2c, 0x58376cc2, 0x15c9114f, 0xaa4b0958,
+    0xc2e9611d, 0x50a9e093, 0x3ea394c4, 0x0e6b0b3d, 0xc11ae5f2, 0xc78b2aa9, 0x37329728, 0x74912ceb,
+    0x7396105e, 0x73815feb, 0xa429e1f9, 0x1fd2b0cb, 0x0d21f80a, 0xdfffaf49, 0xd451d8f5, 0x8ad323f8,
+    0xec1dfb91, 0x057b432a, 0x948c6088, 0xf9cfc506, 0x14ea1147, 0xeea9ab2b, 0x84b8e78a, 0xb64b2383,
+    0xa625ef5f, 0x9e4ccb4e, 0x1a164bd6, 0xd94cf012, 0x7879007b, 0xec415b97, 0x84779d8d, 0x7988751d,
+    0x8ea3b8b2, 0xf77d4319, 0x48b47d09, 0xfed491c2, 0xc12b6072, 0x5b54d684, 0xf49bcf88, 0x8e6b8a9e,
+    0x9a0506e4, 0xa63b5ebe, 0x5b9ed2be, 0xb047758f, 0x58f17c35, 0xd25cee6c, 0x2ac91c5b, 0xf9c544e9,
+    0x71d542ca, 0xbd058a1a, 0xe3e71eee, 0xe6d67658, 0x333f166a, 0xc2f8aa37, 0xa423ea17, 0x9001127f,
+    0x7731d12c, 0xdf87cd2f, 0xae636134, 0x3e4ed7b8, 0xc31c8aed, 0xb0fb633c, 0x29694e63, 0xb0779003,
+    0xad3014df, 0xb8eb80a3, 0xc3b6e0ae, 0x6fb5f0f2, 0xaee86da3, 0x56e5ebc7, 0x0c9187bb, 0xa020858a,
+    0x00904a76, 0x3cdd411c, 0x261c06f6, 0x27fa62c1, 0xdab73d85, 0xac686b85, 0x60d4fa32, 0xdfad35b6,
+    0xb37b0494, 0xb4616ca6, 0xfab0c609, 0xce4a81de, 0xb6ec2734, 0xdc8b9cab, 0x58a98bfa, 0xfccd7acb,
+    0x2fc77a18, 0x9143483e, 0xd18cd829, 0x1c92d50e, 0x05c236c5, 0x66cb8d56, 0xcff292b9, 0xcb679b1b,
+    0x4904c780, 0x34c370e5, 0xe185dc7e, 0x561e57a8, 0x3a923db7, 0x63221e6c, 0xf7936245, 0xd97cc507,
+    0x2cbbc62a, 0x5ea81560, 0xe84079a9, 0x4c1c8070, 0x262029f7, 0x4b1f7cd0, 0x13342a91, 0xbdcc81bb,
+    0x169d8fd4, 0xc328e04c, 0x1b7cfbe8, 0x57fd185b, 0xdb0e9ca9, 0x867dde1a, 0x1d180414, 0x44b5e501,
+    0xbe8c272d, 0xf43bef72, 0x5c642704, 0x3cb74ed2, 0xb835bcd1, 0x4affb571, 0xdc2411a1, 0x3d999a1e,
+    0xf65953e0, 0x477def65, 0x2ce1d08a, 0x6ec81a27, 0x58107048, 0xcbe69173, 0xcf45cdc4, 0xa7fdc694,
+    0x3efc5490, 0x669e3bf0, 0x32571747, 0x14a7db24, 0x14972b6b, 0xe1030bee, 0xa1aae7f9, 0xbc32a3f0,
+    0xa998559b, 0xc9159c26, 0x0fdb1800, 0x5c2b8561, 0xe29af8b9, 0xf71f3d51, 0x895a1821, 0x27d73126,
+    0x37fd2931, 0x8e08eb00, 0x18db284f, 0xbcbe60e5, 0x83ebb3af, 0xefaf9124, 0x0d5a7336, 0xdd427bfb,
+    0x1d136afc, 0x77f897d4, 0xaebdd8fd, 0xb85ece0d, 0xf76ca6b8, 0x5a0b4f06, 0x8ad8e3f9, 0x3a6ea0fd,
+    0x0b9249ef, 0xdec7f2ae, 0xfb5b420f, 0x5a3d0557, 0xccf9bf1c, 0xd215f5cb, 0x8bc181ae, 0x55b7ab69,
+    0x58bdec04, 0x83a82917, 0xdcc989d7, 0xc83d1760, 0xcec6bbd5, 0xe3ef5696, 0x1f602a5d, 0xb46845f2,
+    0x6ee0e681, 0xfe494dc6, 0x8d6540e6, 0xd401dcef, 0x9f8d9cbc, 0xa7e6d4a3, 0x30334676, 0x172c4c40,
+    0x060ce65e, 0x25f6ffd2, 0x00ac210b, 0x42461553, 0xc78b21c1, 0x199cab2f, 0x1057ab31, 0xf588a839,
+    0xe84c43fc, 0x500ad584, 0x504b1e10, 0x2a004245, 0xa1e6b884, 0xf9b4cbf9, 0x1760a230, 0x7e2dfd4c,
+    0xa8b7019e, 0xe680e543, 0xd5f383f0, 0x0fead29c, 0x95ac0ef1, 0x8107253f, 0xde4b48bf, 0x38c09414,
+    0xd91dccbe, 0x2df0cb50, 0xdb30f5c8, 0x3159b01f, 0xcc5cc2f4, 0x9d9bb948, 0x2833428d, 0x4e484bea,
+    0xaf3b2f95, 0x4017de6d, 0x4f838640, 0xea65010e, 0x8a1e6dd2, 0x3416f30c, 0x4344d8e7, 0xaba6fe14,
+    0xc5f49f4c, 0xf9d37a95, 0x483a2bad, 0x81b615a1, 0x298785b2, 0x784f4f11, 0x09f6ebba, 0xc8e43c63,
+    0xd206e437, 0x53cfa799, 0xa0847dde, 0xbb382d6c, 0x6da95d04, 0x6329e5bf, 0x39468349, 0xdba158d4,
+    0xb1a10e9e, 0x3bb140e6, 0x196edcd9, 0xa2788209, 0x9ff34615, 0x95abe12e, 0xda92713a, 0xbeb9d69a,
+    0x36744a7c, 0xa4d0c5c3, 0x9ef7d905, 0x12df4a8c, 0x9c0013bb, 0x6273729d, 0x1c6077f5, 0x5ac7fcd9,
+    0x896604a3, 0x320d85f8, 0xc077aeb0, 0xe3d05a0a, 0x15bfde3d, 0xb611ec29, 0x3a143a3a, 0x29472acf,
+    0x1a11203e, 0x3d10728b, 0x5264e1da, 0x0d992528, 0x1393577a, 0x90d5ee86, 0x4ae50076, 0xf07eb53f,
+    0xb7a5a107, 0xd95afe1c, 0xe3677afb, 0x7227c439, 0xed970293, 0xf85557ce, 0x8cf7efcc, 0x90af33e1,
+    0x26dffb8c, 0x718341d5, 0xc7d8f946, 0xa9ee5bdb, 0x07a630ad, 0x898b3d07, 0x28882315, 0x381a359d,
+    0x902bc35f, 0x00ab00c4, 0xff0b0e8f, 0x59b1727a, 0x8f221e42, 0xd333c5cf, 0x56acf430, 0x96d2b5ae,
+    0x97f2ba0e, 0x1ec7d037, 0x70b9b0ed, 0xeebab4a2, 0x15a4a027, 0xbe5c2f3a, 0xa990ec5b, 0xc8b8f4b8,
+    0x61c26457, 0xb5d44644, 0x02bf8926, 0xfa03e388, 0x8d7f2de1, 0x06055f6d, 0x9a9e4bb1, 0xc0207cfa,
+    0x79a51642, 0xa6976da5, 0xc36d5dc7, 0xc1ab8e6b, 0xfb4a3bb9, 0x553bbec4, 0x423206e6, 0xe459fbf4,
+    0x30cfb1de, 0xec3bf150, 0xf5713322, 0xe2237c80, 0x5be966b2, 0x220a01c0, 0x93d88335, 0xd1b24593,
+    0x1390d9eb, 0x0d70aa6c, 0x5d422f5a, 0x3f26f9d4, 0xf587bdd3, 0x0415f7e7, 0x5886d51a, 0xf8b9394a,
+    0x662acc5a, 0x6220b3d8, 0xc9bee955, 0x29a8bb30, 0xccfdcac5, 0x9eb3fff5, 0x36310a14, 0x3b085bf1,
+    0x61298d73, 0x4d7c501b, 0x060fa09e, 0x75d1fd63, 0x7b7425cf, 0xbd184fa0, 0xcf9be092, 0x8a57858b,
+    0xcc078ae0, 0x349513a5, 0x6a85c240, 0xacacb497, 0x0a38e4ca, 0xee95cdd4, 0x9ad9ea3b, 0x5fc3a92f,
+    0xc5e14ae9, 0x2d8a26c9, 0xb311620f, 0x472b1040, 0x8199f5bc, 0x37837d54, 0x56ec137a, 0xd4f0155a,
+    0xb05755cd, 0xe8fe6aee, 0xbc36a030, 0xc6a8b652, 0x59b01200, 0x1d0df84f, 0xc4ea322e, 0x6ed4c85d,
+    0x8bd9d7ad, 0x196beaf3, 0x6af61b93, 0x934f11a7, 0x8a790393, 0x6c64190c, 0xb5de344c, 0x6e4bc730,
+    0x49d5e874, 0xf9886956, 0x41191dd2, 0x5b60aaef, 0xe40d3def, 0xf0286914, 0x3066e887, 0x78c0ed7f,
+    0x3a0a5c62, 0x912589cc, 0xf498af22, 0xc7da24a3, 0xa1725dfb, 0xb259218c, 0x8b24b5b6, 0x5a7cac23,
+    0x10ae3e59, 0x669a1ee9, 0x8bb159e7, 0xca3f8961, 0xadef3177, 0xce07e3d3, 0xbb958b57, 0x468f4883,
+    0x98363082, 0xa197634a, 0x8f991790, 0x45bebf53, 0xfc9d76d4, 0x98d73773, 0x44538cf8, 0x50fa302b,
+    0x561e54fa, 0x19507e98, 0xf3f34863, 0xc9f0f779, 0xbbca48e7, 0xc5bd881c, 0xe4716954, 0xb3a4da98,
+    0x7659f672, 0x58c75458, 0x632b2e74, 0xf0501c05, 0x4a300b69, 0x0d842d58, 0xd87548e7, 0xe110d1ea,
+    0xa7250352, 0x46c31043, 0x8e23b884, 0xf3b06356, 0xb3a5e698, 0x847c74b9, 0x998a35e8, 0x2095ccf9,
+    0x0feb4c84, 0x4720cf5e, 0xbd1400f6, 0x8680030f, 0xab9852f0, 0xcb4d3735, 0x381b96f2, 0x1207bb3f,
+    0xd62ba324, 0x89c45905, 0x01f9c206, 0x3bf4420a, 0x468edd93, 0x7b9639fc, 0xa69d610e, 0xf400f12e,
+    0x2fad3808, 0x7c089f16, 0xc5c16c5f, 0xc29bd89d, 0xce7a1e49, 0x0496e925, 0x62e6d3cb, 0x387a658a,
+    0xb864fc2b, 0x2f91f0c3, 0x292aa266, 0x9b2155a1, 0x553dfcf3, 0xdda15696, 0xbbd7ce4f, 0x579a5682,
+    0xf5079a2e, 0xb98864eb, 0x62ca8a78, 0x8c7f05c9, 0xd6b6eeef, 0xcf044d59, 0xc3538e6c, 0xa29232f8,
+    0x743a6a19, 0x8b151ef4, 0xc841cc49, 0xa06dcf96, 0x01c92136, 0xa1956fe7, 0xed2eb275, 0x476020d7,
+    0xe02c7bfc, 0x432f8898, 0x1443a105, 0x0800dd47, 0xd3f3f564, 0x88f00227, 0xd379ebdc, 0x7226cfbf,
+    0x16ab013e, 0xfa9e7533, 0xae6d2e98, 0xd79afb5f, 0x93600cc1, 0xcf8eb1b0, 0x14689e16, 0x845f7eb2,
+    0xb4ea071b, 0x24cde6d3, 0x4576636e, 0x046786b1, 0x6cfb4759, 0x940d4b9d, 0x26b8a584, 0x6794f9a8,
+    0x2a739c5b, 0x972917f1, 0xd0d4ed0d, 0xdeaa4ed7, 0x678727fe, 0x5facdc60, 0x435d6820, 0xe3dce82d,
+    0x322500bd, 0xbb0f53a7, 0xb0ff6d25, 0xe51461d8, 0x7b10905c, 0x0339c8da, 0xee9192df, 0xb4984aa3,
+    0x5fceed45, 0x8d3c666b, 0xda985956, 0x230a7f5e, 0x13f406e0, 0xbc0ebaec, 0xa441c6e1, 0x866ea4ce,
+    0x59094767, 0xd1077938, 0x9ecbf4b1, 0xe0e91432, 0xea17ab8d, 0x84cb71c7, 0xe33d6e6f, 0x715708f6,
+    0xf7518962, 0x9f819927, 0x6f425c8c, 0xc53cd035, 0x1038f675, 0xe635ad1a, 0x8659d911, 0xb160e168,
+    0x683533b0, 0x0a1d338f, 0x0f171998, 0x00e3a65c, 0x0f54fe26, 0xef1aadcf, 0x00a0f419, 0xbe381d7f,
+    0x5a7ab2e0, 0x2ba7f412, 0x6610988e, 0xb5ccab32, 0x8e1bf912, 0x4a436557, 0x424631e0, 0xadf00147,
+    0xbfd6ff2b, 0x6fa7452e, 0x66ddf564, 0x324fb535, 0xec658c20, 0x474b5ebd, 0x856d1536, 0xdcec18b6,
+    0x3c906002, 0x9416d29d, 0x118f9e76, 0xece938a9, 0xc8e4d52c, 0x13d1cb9f, 0xc8846bec, 0xc4db5a3a,
+    0x5517a30d, 0xf0f8aa34, 0xba442d49, 0xee2b1477, 0xee6ec3c6, 0x753c2e9d, 0xf1ad99bb, 0x33013124,
+    0xe01be27a, 0x11311aa2, 0xc29b782b, 0x38a1ad64, 0x3085a284, 0x64a88d21, 0x274cbcaf, 0xecaec6a7,
+    0x21255abd, 0x0e35f8e2, 0x1f9b26e4, 0x7289a10e, 0x68aa1f40, 0x2a6ceb8c, 0xd66dad48, 0x3211b813,
+    0xbf1b2bef, 0xa925c108, 0xb056808e, 0x61ac62f1, 0xb7d360d3, 0x72152388, 0x1054e198, 0xd27a582c,
+    0x856125ea, 0x6291a99e, 0x331322ef, 0x91094905, 0x72fa3d18, 0xa6469e68, 0x788423fb, 0x006744e5,
+    0x573cba0f, 0xbb217794, 0xf3b536bd, 0xfaf8fed2, 0xb5552477, 0xd625a738, 0xa131d57d, 0x40401320,
+    0x5362ed07, 0x1f3249a6, 0x949c482b, 0x743ec9c8, 0x0ff97483, 0xb584271d, 0x02bc80d5, 0x666935df,
+    0xb67c2cdb, 0xbe9f635e, 0xfebde914, 0x179ea74d, 0xec75bc08, 0x5caf1105, 0xdca519a0, 0x53ae3c7b,
+    0x82fb6143, 0x93efed7d, 0x5f015b4c, 0xe5e516a5, 0x1050a106, 0x9993d244, 0xe0c23971, 0xa70ac32c,
+    0x9dbfe2db, 0xeda9e00e, 0x719f86f9, 0xd28a69cb, 0xe842bfcb, 0x3978c2bc, 0xe1006c55, 0x9fc2a283,
+    0xd3eebe47, 0x82439855, 0x6179eed0, 0x8d9015ff, 0x9f6ec5bc, 0x2acbf538, 0x1cebfe67, 0xcebe4da4,
+    0x76ef1f5b, 0x55906280, 0x4d00febf, 0x097fafe4, 0xdc0c335c, 0x5f5de129, 0x057d5b18, 0x92c46d62,
+    0x00000000,
+    0x73c2ce82, 0xdb564041, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6,
+    0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000037\
+                         05346855594118253554271520278013051304639509300498049262642688253220148477952 */
+  { 0x00000000,
+    0x02ef2cd1, 0xb6a72736, 0x8f67c9d1, 0x1fbf4e88, 0x334afa89, 0xcde11fd1, 0x5af11670, 0x88199ee1,
+    0x9886c513, 0x4db9296d, 0x114e3ed7, 0x9951bae1, 0xa32009e7, 0x290ea139, 0x0ff5fcc9, 0x28580c0c,
+    0x211411f8, 0x2b3e04b0, 0xcc4521c1, 0x75c21dd3, 0xc2c7a9d6, 0x07299b14, 0x9aa575e9, 0xab9f23e7,
+    0xe3916346, 0xa737d762, 0x4706ec04, 0x0fb75f49, 0xac1a2a43, 0x58b2f548, 0xe4ca9452, 0xa0a3e2c2,
+    0x44cf3fe0, 0xddb2c0b2, 0x1783d3e4, 0xecd8c5ac, 0xca04fa8e, 0x2fc48dad, 0xcec76da4, 0x70c88058,
+    0x29e04dc0, 0xf8235864, 0x2f1207b4, 0x9256f82d, 0x8a745b37, 0x8d2b1eed, 0x783c88fa, 0x0fdd7db3,
+    0x7142d3a7, 0x79a1a904, 0x4b7df288, 0x44881646, 0x194d35b2, 0xb548b71b, 0x0dc12c38, 0xfbdcb344,
+    0xbbf8a505, 0x34a2dca5, 0xb0b364ff, 0xf5a1e5fa, 0xbf39ed14, 0x8b6ea081, 0xae55d79d, 0x826826da,
+    0xae601092, 0x0245aee6, 0xa2d47f11, 0x3bcd2276, 0x352d4b14, 0xc36e9dc8, 0x2e3f20b3, 0x809bf19a,
+    0x560ca859, 0x9d7d3820, 0x2af2501e, 0x2380b0db, 0xee3b0654, 0x95257e8d, 0x9bcb7186, 0xfb40a7fb,
+    0x08b9c3b3, 0x8c13d80d, 0x4ab89830, 0x9e0a5ff8, 0xc982aa06, 0xb90bc323, 0xb82b946a, 0x790b810d,
+    0x074cf673, 0x90969b42, 0x40e80605, 0x6f619c72, 0xf123d9cb, 0x2db03283, 0xbbc2bbcc, 0x6bd6a622,
+    0x0b6feccd, 0xa0ab6c65, 0xb2d5ca20, 0x5eb7d49f, 0xc7f2fa96, 0x915fb2e7, 0xa6392a78, 0xff46dc02,
+    0xf2397da8, 0xe90d2ba3, 0x622d526a, 0xff7dc9b5, 0x4b2ba7cd, 0x3d19e47e, 0xf18d062c, 0xa9ca631b,
+    0xaf07ef2c, 0xca6fe7ff, 0xc2b8fc88, 0xe80fe80b, 0xfa70df0c, 0xbba688a4, 0x8dc9048e, 0x899a7a21,
+    0x1ec9cc35, 0xa64746da, 0x8c755203, 0x8b87bbda, 0x42376029, 0x1ca94aee, 0x8c57c5c6, 0x67bcb848,
+    0xe4824c45, 0x987b6829, 0x56a8e3ac, 0x2245eb25, 0xcde48e3a, 0xb3b2d389, 0x8c56b915, 0xac20bed2,
+    0xb56659da, 0xf38b1456, 0x290c0786, 0xe096e47c, 0x1f8f9736, 0xe5d8bdc9, 0x2af56b54, 0x812800fe,
+    0x179a8341, 0xcabff949, 0x648596f5, 0x53819981, 0x3fb0b218, 0x982524df, 0x79a275ae, 0x36d4dbaf,
+    0xbed429c3, 0xc7755887, 0xcdfa5792, 0x5e70e6da, 0xf424b83c, 0x61446665, 0x4bef5708, 0x11e14dff,
+    0x1e906ad5, 0xed8eb4e3, 0x97e28f81, 0x2d0438a2, 0x1b572785, 0xc075d950, 0xf64a66c9, 0x9a8fa67e,
+    0x3aa82cbf, 0x28456015, 0x20532519, 0x8a37c76b, 0x434d2493, 0xa05c25df, 0x627d936d, 0x4e5e6725,
+    0xfc7f3977, 0x3a4592da, 0xa4b30795, 0x4b75cae3, 0xbd880ba7, 0xb293ed52, 0x36be5a26, 0xa61d0297,
+    0xed99f6e9, 0xe4aeb4d3, 0x570390dd, 0x54ddf258, 0x8b917de9, 0x3b32c7b1, 0x847b7a62, 0xc202e1b9,
+    0x49899599, 0x86cd8cde, 0x0b4fdbfc, 0x80dca385, 0xdf1941cf, 0x213f75e4, 0x3b96f4c8, 0xcf6d55e1,
+    0x8bb08e14, 0xcf591931, 0xbda80f54, 0xdba80393, 0x964f70c9, 0x8c9ced48, 0xc9111916, 0x26f1adce,
+    0xf3a7f25b, 0x9d5f7e1d, 0xcc4a0abc, 0x615dd919, 0x18cfe939, 0x189ebcb4, 0xf56468e5, 0x972f181c,
+    0x5a13c2c7, 0xdd09ab45, 0xe6e0260d, 0x903297c2, 0xfbb51d33, 0xee932208, 0x17413b7e, 0xbccee63f,
+    0x509fb4b4, 0x323e1f14, 0x84aa39ad, 0x33ddac1a, 0xeca283a1, 0x2bb64c03, 0xae14abde, 0x7a4987c4,
+    0xb0e4de46, 0x2d7e4947, 0x2a7967c8, 0x5a1a2acc, 0xb09bff57, 0x85071267, 0x579b3232, 0x78dcda72,
+    0x400fc8dc, 0xfab229cb, 0x84d5f558, 0x1b3e8199, 0x780c0a89, 0xe2ce3c5d, 0x3916de39, 0xab230968,
+    0x891a4e5d, 0xff9154b5, 0x5ba31381, 0x50c15776, 0xcf9c2def, 0x3fb8959f, 0x1e8ab879, 0xc8ec4bbe,
+    0x28f11c5f, 0x9b8a43cf, 0x7faa1404, 0x457f96a7, 0xafd38164, 0xf1d540c4, 0xf3b27af8, 0x08e8c275,
+    0xfc09fd79, 0x8cc03366, 0xaf0ef8a5, 0x4c4c0cc7, 0x6d79c8bc, 0x1c0ab530, 0x199deeba, 0x269165fc,
+    0xe80a6f0a, 0x5cb480f8, 0xcccfce9f, 0x1a194695, 0xb6824f50, 0x17650d4c, 0x8db73917, 0x9c74b3b1,
+    0x74455a8a, 0x295111ab, 0xa195c0ed, 0x36c13e88, 0x4bd3949d, 0x36919b8b, 0x2d1f7803, 0x963131dd,
+    0xe2385e97, 0x711e3aa1, 0x260827c9, 0xa407982c, 0xe8c07b24, 0x0412dac4, 0xc6c2898a, 0x9ae505d9,
+    0x220d6796, 0x6e548204, 0x4d9c0235, 0xcb9894cd, 0x079dbd3d, 0xf196db76, 0x1e017330, 0x45cac3a0,
+    0x55c72ed7, 0xb2f30ba8, 0xaac2e74e, 0xcadf58c0, 0x0e7b7c1f, 0x4d70320a, 0x14c5364a, 0xb42db0be,
+    0xaaa8c073, 0x681f9ded, 0x8f19d711, 0x1a55576b, 0x716c7b86, 0xc8472301, 0x801a5edc, 0xb1dc6a1e,
+    0xc5f985ed, 0xf4235169, 0x37d2aff4, 0xf19c13a5, 0x735d6a57, 0xb79d0cad, 0xf7efe151, 0x95de1223,
+    0x2107cd22, 0xf99903fc, 0x8093e900, 0x1f04c705, 0xc442e0e6, 0xd16b2384, 0x7ddbcc05, 0x05eeade9,
+    0x46665eeb, 0xd94fed42, 0x75cd322d, 0xab10918c, 0x36f00956, 0x0ff8016a, 0x25a2118c, 0xa1fd5eea,
+    0x03f39c35, 0x361c6059, 0x621497ff, 0x0221ca5a, 0x2b418e47, 0x908e3d58, 0xeb7da18b, 0x899160df,
+    0xb916fbf9, 0xe9ea0631, 0x0950de35, 0x85014fb2, 0x239c2613, 0xeb41a1f0, 0x37c4b62a, 0xc2386929,
+    0x632f9ead, 0x3534f5a1, 0x6915d250, 0x7b9e34d4, 0x084aec4c, 0x6a19e04c, 0x2aa9bee5, 0x055bf48e,
+    0x6b1e1282, 0x255c2014, 0xe61ef991, 0x36dfbeed, 0xa7b40d75, 0x00a03903, 0x66e5c923, 0x3305c412,
+    0x759d09df, 0x4cf35fa6, 0x41440a40, 0xd2efd7b1, 0x8c9c749f, 0xe25a60ce, 0x9235b4fb, 0xc5fee2d0,
+    0x54c092b3, 0x645c87e2, 0x5304c87c, 0x3632c348, 0x194e255f, 0xc7315e72, 0x0c5780fd, 0x7a1ff529,
+    0x4c61fcca, 0x6257621c, 0xc3592a37, 0xd2564fba, 0x8927f516, 0xf59f1d56, 0x1da1f135, 0xe05df859,
+    0xd08e93c8, 0x85077e65, 0xefe73105, 0x20c9d557, 0xa92d1ac4, 0xc001111a, 0xf3c4dfac, 0x9eaa1123,
+    0xd79a18c4, 0x70af2eb2, 0xe9cdfaee, 0x52651197, 0x79b17b42, 0xb199f158, 0xf6188a2d, 0x880813a4,
+    0x52581b1c, 0xa70178f8, 0x1aaa5de1, 0x69688a62, 0x5078a1da, 0x615e243a, 0xa05ee599, 0xc9922019,
+    0xb4bee195, 0x3648508b, 0x146bd608, 0x5ba11149, 0x247649f8, 0x94a39639, 0x9ac41e27, 0xbfe9ac2d,
+    0x3db03790, 0xc1fe555c, 0x5bdc6d12, 0x8d6a22e5, 0x172274ea, 0x7f92daf6, 0xe800cfd6, 0x2c4d8a10,
+    0x28237ebc, 0xcbaa496b, 0x33ee2aa2, 0x9607cf65, 0x94f663b8, 0x2fdaa77f, 0x5d0b1846, 0x75798e99,
+    0xae0500f4, 0xe00f37a0, 0x07c15ed8, 0x6c9f935c, 0x0865878e, 0xaa0582f9, 0xce949dc0, 0x75c709cc,
+    0xc33ec1e9, 0xecb5d756, 0xbb45a648, 0x6714d669, 0xd0dbd1d4, 0xc4d8da17, 0x15ec6a9f, 0xbcbd2c80,
+    0xaf7aafdd, 0x73d80094, 0x5516eefe, 0x9e55e6cf, 0x7309879b, 0x7d569fa9, 0x5295d2d5, 0xfbb8315a,
+    0xa7e52c4b, 0x145b28a6, 0x69238def, 0x546a1712, 0x4f5bf22d, 0xa9c54f55, 0x1fdff924, 0x226957f2,
+    0x9a3898d7, 0x0d51e5ec, 0x94b6fa2b, 0x1273d396, 0xeb5ea597, 0x4ac51825, 0xb814ab28, 0xbd69ede5,
+    0xd8b6c76c, 0x6cb0f7b0, 0xadc2405c, 0x3e36f716, 0x58f2572e, 0x872d14a2, 0xe19fbf6b, 0x3992057b,
+    0xe16d9e91, 0x80c7fae6, 0xc497b29a, 0xa59555bd, 0xd1171299, 0xda3edd1a, 0x0503d896, 0x37c1636f,
+    0xe9caa6a0, 0xbea8848d, 0x77e49b13, 0x60a222fc, 0x496f9b1d, 0xf7ef9949, 0x29dcca20, 0x58242553,
+    0xbd754a46, 0x68dab9ed, 0xc3567839, 0x34acc3a7, 0x9bb58beb, 0x3913a2d6, 0x94d2311b, 0xf5cd84c2,
+    0xf972f562, 0x9c65426a, 0x900415d0, 0x8328a734, 0x9f008cf6, 0xdc15ae1f, 0xb5a9bb65, 0x9171e451,
+    0xbfb8f83e, 0xe8e22426, 0x98fc220c, 0x1477de0e, 0x780a7f71, 0x1c137714, 0xd1ec2be2, 0x473049c6,
+    0x0c0f8c64, 0xef828943, 0xa7619dc4, 0x60a6369d, 0xea030081, 0x78ea4a36, 0xc075d4b1, 0x181763bb,
+    0xe38073c5, 0xfd894666, 0x3a9574e5, 0xbd2444c9, 0xc8de06bd, 0xda28ffbf, 0xdd445da7, 0x85f8b371,
+    0x317e459a, 0x1ea72bf7, 0xdf507e7b, 0x27faff3c, 0x97735f1a, 0x49a10674, 0xac134598, 0xbda025e7,
+    0xecfd9d18, 0xbb4640be, 0x56b32336, 0xce36033e, 0xd9bb7f8e, 0xcb15b646, 0x8cc6a0fd, 0x4d06ee15,
+    0x997f3dfd, 0x2c200bc8, 0x5625e8bb, 0x5564e6c7, 0x7e1478ed, 0xf8a92669, 0x97cb8ebb, 0xf4b4bbff,
+    0xe6c6cae0, 0xbaf6c013, 0xe653472a, 0x1ca90588, 0x20b21629, 0x68895b83, 0x76eeef70, 0x82db269c,
+    0x80e55b3c, 0x967ed83c, 0x1009a2a0, 0xa1c63097, 0x19e6d961, 0x5989e3a0, 0x995245a7, 0x80070473,
+    0xe628123a, 0xc41a83ef, 0x1b1a886f, 0x5e8db75f, 0x3b4112d0, 0xd49a66a7, 0xf5082ab2, 0xc8fe5887,
+    0x1f2cba69, 0xc684dcce, 0x2d23dd19, 0x4ef020e6, 0x4617c14e, 0x9f6ed28c, 0xefd6ee48, 0x32d12840,
+    0xf6413b7e, 0xd101388b, 0xd2e184ad, 0x954040ee, 0xe4a03fe8, 0xc21392ec, 0x2b21962f, 0x90b3df97,
+    0x79da7a14, 0xacdb0475, 0xdd347f6d, 0x4bdd7a8a, 0xbe9a3ab2, 0xc49e8255, 0x75318ce2, 0x46a8fb7d,
+    0xfec18d24, 0x56caf5a2, 0x16f098bd, 0x98e0604f, 0xa18e5671, 0x779d3d5e, 0xd376b079, 0xd07d801c,
+    0xac35f5b9, 0xa2f0c754, 0x997b7df5, 0xac8aada4, 0x37fb09e0, 0x03f14f2f, 0xeed5bedd, 0x07bcb673,
+    0x77cfbe32, 0x8d7d0321, 0xd7b2e3fb, 0xcda234e3, 0x9a2242d0, 0x5749db91, 0x706b6c01, 0x821cb956,
+    0xd3148b59, 0x5b3d5b9b, 0xdff9f068, 0x501f2ae5, 0xa13aba83, 0x4e20d724, 0xd9cd1672, 0xb2c2f255,
+    0x37c2973b, 0x568fa369, 0x12b960b3, 0x15bd4538, 0xf7837887, 0x5790e5f4, 0x9ecbc4f2, 0xa6597eb7,
+    0x46a947f3, 0x24da23b3, 0x89e3b765, 0xe989d490, 0x86508721, 0x2e0c551a, 0x319f2c4d, 0x41b9be7d,
+    0xb76e6b8d, 0xcc3965e1, 0xd4a11b0f, 0x85fa6a64, 0xea62f30b, 0x0fb2b75d, 0x754937de, 0x10b45751,
+    0xfdc71337, 0x5af9bddb, 0xed978e29, 0xe029d719, 0x0b93d281, 0x67d9275c, 0x13e73f37, 0x17077358,
+    0x72b836e9, 0xc20b780b, 0xa2912665, 0xe22605cb, 0x8c73acc8, 0xa6c1da47, 0x87ef17b6, 0x197a719c,
+    0xa0d86736, 0xee70f5fb, 0x56e414e1, 0x69f3ae91, 0x21f715bb, 0x0f918da4, 0xba0c04c7, 0x7d260220,
+    0xf7d17865, 0xdb4d42b8, 0xbec8c921, 0x05bde2d4, 0xc9845103, 0x689f1384, 0x2072df77, 0x748e4d6e,
+    0xe4735e8e, 0xa770f277, 0xdf12e22c, 0x064d0124, 0xb45443c8, 0x46ee3a2d, 0x95f15d4d, 0xc2118e6b,
+    0xb7b420e6, 0xad473b7e, 0xe31c0700, 0x98ed1eb0, 0xc7f48855, 0x48b8359b, 0x17187f0b, 0xe02d16ce,
+    0x51c65af2, 0xa5b80491, 0x28b81779, 0xb23fab6c, 0x2476f386, 0x405a00e5, 0x99e273fd, 0xcf4f85fa,
+    0xf5158b1e, 0x916b8293, 0x9e485262, 0x93f81062, 0x56ced777, 0x52143506, 0x0f43f86b, 0x27fe70e1,
+    0x10b1b82e, 0x93d7b671, 0x5b9a0390, 0x68b27927, 0x81466625, 0x3f7040ed, 0x0282ba91, 0x32809f79,
+    0x404d6c00, 0x9090203d, 0x2fc3014f, 0x882d5e7b, 0x48da0eeb, 0x905f2a09, 0x69faaab6, 0x7f5d3a7b,
+    0x9743e2d9, 0x312a6a95, 0x36001f7b, 0xfd8ebc1b, 0x9ae9fa53, 0xb5ea00fa, 0x4d8c1f44, 0x8a00067d,
+    0x1f9ce6ff, 0xb3217992, 0x32cd761d, 0xbb93bcd5, 0xe58eba53, 0xc268dff1, 0x2d9df806, 0xa9766d80,
+    0x8c1e4a81, 0xdac45be8, 0x66f3cf30, 0xbd4f6852, 0xb91eb319, 0x0bd3eb47, 0x8b1ab3cd, 0x7620beaa,
+    0x260cd01b, 0xb92637fd, 0xc8800013, 0x2ece16cf, 0x77f1c482, 0xc079bcd3, 0xc3ae0e05, 0xdeae31da,
+    0x868bc9ff, 0x79ea9305, 0x1a5bd309, 0x866aebbc, 0x258c62f3, 0xa9a00e52, 0x6ea615b4, 0x53296be8,
+    0xdda303b7, 0xa699ed62, 0xcbe1e9f7, 0xf0fe228c, 0x35c525d4, 0x3952ae91, 0x4cdea4d7, 0xe674ffa4,
+    0x59927112, 0xfb01e4a4, 0x9dde46c3, 0x3a13fcfd, 0x65fda2ac, 0x0ffa55e7, 0x50f55184, 0x2f261947,
+    0x08763df6, 0xc4f7deb9, 0x09c6d1e8, 0x132caf4c, 0x6dab8070, 0x7ebae85c, 0x51657543, 0x128254f4,
+    0xab354d20, 0xf34d76f1, 0x9c93ef81, 0x949535f1, 0x5361ed4e, 0x76633818, 0xffa1955f, 0x09680d35,
+    0xdb5499f9, 0xa054a942, 0x94cd6e56, 0xfee62bbf, 0xdc23388b, 0xf10d9bdb, 0x1337827e, 0x2bf4ee74,
+    0xb07632aa, 0x5ff9051d, 0x93250786, 0x0624cac2, 0xe3bac693, 0x4bbe0d3f, 0x385c85e5, 0x54dc6bdb,
+    0x1cec850c, 0x7692f3f6, 0x753ea968, 0x69a74152, 0xf976892c, 0xb5ee7716, 0x9d94a440, 0x4ae94b79,
+    0x7ea13117, 0x0082ec9e, 0x95cf1cf4, 0x3117a040, 0x49f5090e, 0x2baa3447, 0x375b0da6, 0xefe66ea2,
+    0xacbc65b7, 0xf01cf041, 0x27ea0e53, 0x0325bd10, 0x196bd658, 0xadeaf3cb, 0x7a9d2fea, 0xce52a249,
+    0xbe7f6673, 0x5dd5ded1, 0xe51a4562, 0xcfb53a69, 0x7f62972a, 0x5a2194ec, 0xf8939664, 0xbbc8c0a6,
+    0xcd4cb815, 0x4742dc5d, 0xcda4980e, 0xd0a3bec9, 0xd23e8d78, 0xef116e1c, 0xf7e91c02, 0x07e314a5,
+    0x93c61eaa, 0x71fab781, 0xff97e385, 0x3e23065d, 0xe634bd80, 0xd7f6254e, 0x13a749aa, 0x7c219038,
+    0x1a48d849, 0xcf626e2d, 0x0ab801cf, 0x79d87b58, 0x467ccb5e, 0x5d2bedc6, 0xf9b7410e, 0xd52edab3,
+    0x01f1f306, 0x739f014c, 0xf1b35c2f, 0xc972912b, 0xe096fc9e, 0xc52f2bb6, 0x3c4c665b, 0xfc604f2f,
+    0x6460af92, 0x6d10e6d5, 0xd8fc2463, 0x76c35d7a, 0xe4cb3950, 0x40ed1593, 0xbe8097a0, 0x32949774,
+    0x62cd92a7, 0x2d151458, 0xc9e88b12, 0xb32269a8, 0x8dc99773, 0xe330e456, 0x45893315, 0x1b96e29b,
+    0x264173f0, 0x132351c1, 0x5d8e38ef, 0xc671f98f, 0x02a961f5, 0x34b3bfc1, 0xefb3e06c, 0x36c13f89,
+    0xba32f7fd, 0x68bd2038, 0xaa69fdf7, 0xf809d447, 0x957839be, 0x861681e8, 0x67ccad8f, 0x8d3749e1,
+    0x84f4111b, 0xa99e2ab1, 0x4f3a0fe8, 0x908cd512, 0xbc128e09, 0x60863b58, 0xd1b77103, 0xd0e5d9e8,
+    0x4fc445a6, 0x741e073f, 0x0fb9f41b, 0x80775431, 0xe65817a7, 0xab67acb0, 0x26fb716f, 0x14e40166,
+    0xb3ac30b2, 0x30ffaecf, 0x2ff6ee85, 0x57fce2c4, 0x6948ccc7, 0xa7ad2dbb, 0x203305eb, 0x9b1586dc,
+    0xcf6fc6ee, 0x2d273cc3, 0x0bc00e6b, 0x80d84207, 0x3c89f35d, 0x49ebc223, 0x0bf3b17f, 0x5bce4b85,
+    0x69def4d7, 0xd0c5ac56, 0xb3da045f, 0x57b7bed8, 0x942d46e3, 0xa314ca83, 0x3201ccfd, 0x1f2969dd,
+    0xc1cceafe, 0xaf09acdf, 0x88febc24, 0x8340980d, 0x6b1135b3, 0x3579b583, 0x8c9ae8b8, 0x82db15c7,
+    0x19a20511, 0xcb301400, 0xa1386871, 0x63872727, 0xcd171fda, 0x896e5fa4, 0x743bbe45, 0x865f4bf2,
+    0xbaa9a7f6, 0x6b9997c7, 0x6d19bac1, 0x8ce1c913, 0x04f53fc4, 0xe08668af, 0xeb8de58d, 0xc1d60991,
+    0x00000000,
+    0xb9e16740, 0x6dab2020, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3,
+    0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000018\
+                         52673427797059126777135760139006525652319754650249024631321344126610074238976 */
+  { 0x00000000,
+    0xe6e856ec, 0x3734aa5b, 0x6400b3f3, 0xa1ad29fe, 0x9b26fd5a, 0x068fd003, 0xdacae11d, 0x364b9ce9,
+    0xf96e8eac, 0x98d4caf4, 0xa97d01b8, 0x9babac59, 0x7a5837ae, 0x95e1c31e, 0x8a9e0d38, 0xb354ae16,
+    0xd4f9636a, 0x68804780, 0xc6711de2, 0x2b4fa782, 0x1ab617cd, 0x2555cd19, 0xb867663d, 0x05b1b7d5,
+    0xd8c4fce1, 0x9c53b55c, 0x8116fdab, 0x2f8b60e7, 0x4ddf8c65, 0x113739ce, 0x40109990, 0x3117dbe5,
+    0xee81fab4, 0x342d1b77, 0xe4f1a3d9, 0x39d116d1, 0x0369fe90, 0x9bda380d, 0x71f43b37, 0x3b8e0bdf,
+    0xe84928e5, 0x87107bee, 0x77d8c3e1, 0x6b631f36, 0x8d49aaa8, 0xcb53e72e, 0x0dc20793, 0xc3f8cb64,
+    0x94881111, 0x2e75cd12, 0x7c023c2f, 0xb2bd7ddd, 0x179cbc61, 0xb91ec266, 0xc5801013, 0x22582260,
+    0x3126ba21, 0xd7a19b74, 0xa33b5718, 0x89abccbe, 0x368950a2, 0xd7232bd4, 0x3c8c3b38, 0x73dd8ac1,
+    0x71dda414, 0x1558670f, 0x8b76ea0d, 0xf5f39771, 0xdb98685b, 0x6f8d3c1f, 0xd68d1f5f, 0xe618de34,
+    0x8ec2fa59, 0xc3fa74c4, 0x0bbc044b, 0xf4051d21, 0xa54030b5, 0x93814ea5, 0x53bbde80, 0x04fad4a6,
+    0x0e13a454, 0x29972d38, 0x0b5d1cb3, 0xa776fb3b, 0xb445de4b, 0xaeb9af1d, 0xd28c3a77, 0xc6fa0ec5,
+    0xcb260ae0, 0x0d14b5ce, 0x310f1d51, 0x505d3a60, 0x0816dacb, 0xafc1798a, 0x8f72c9da, 0x57c4de80,
+    0x2df5eae9, 0x91c21a92, 0x633057d6, 0x082bb27c, 0xa8be7f4c, 0x98df080b, 0xd8c789e6, 0x9a3c1194,
+    0x0bd52531, 0xa56a87da, 0x391932dc, 0x254cdead, 0x93e836d0, 0xae8a24f1, 0x67a061fc, 0x8feef078,
+    0x41610ce0, 0x2a60b643, 0x2894f08a, 0xa38b324d, 0x71b6653d, 0x36932f83, 0x926a3699, 0xba9f41b9,
+    0xc0439222, 0x9c7d0ce9, 0xa0b114d6, 0x15c41ec7, 0xddf4676b, 0x52ddc745, 0xb69a5d4e, 0x987188b8,
+    0xaed36332, 0x77e16845, 0xd1a6c615, 0x6b61db8b, 0x9fae47c2, 0x92f3fef1, 0x23f1d92c, 0x4ad81d66,
+    0xe978ac64, 0x5e4a5502, 0x94e7279d, 0xb8330ae1, 0xd43d3c5e, 0xd743b430, 0xb4e15297, 0xf1c2005f,
+    0xae02a131, 0x38b443a0, 0x714c8c51, 0x149ae53a, 0x3b9e0b61, 0x968b993a, 0x04cec97e, 0x23d03f50,
+    0x0263ecd6, 0xe8efb5b0, 0x56f5a6af, 0x4b52f1a0, 0xd907cde5, 0xd256b5b8, 0x9201bf91, 0x0739690e,
+    0x6b0d96cf, 0xe21d1686, 0x0726e384, 0xee1c424c, 0x0e5c3cd6, 0xf4402dca, 0x8a9bf294, 0x24cfa2f3,
+    0xe1f3d7a7, 0x245ee388, 0xad89d735, 0x5f9bb864, 0x838eab8d, 0x42386521, 0x95861406, 0xaf482770,
+    0xb0a00e3f, 0xff38ca99, 0x106b77be, 0x28bf115d, 0xec9a0721, 0x8250a1c3, 0x2943d8d5, 0xc32a6de6,
+    0xfc9bb20b, 0x967bab40, 0x322f930b, 0x0c056eb7, 0x8b3b2287, 0x5eb9c191, 0xd690d162, 0x477791d7,
+    0xef7210ff, 0xce89883e, 0x0689978c, 0x58c7d2e0, 0x80ac5ad1, 0x8370e11e, 0x776e36c0, 0x0e933e25,
+    0xd1b749a0, 0xb9cd3d19, 0x707eba81, 0x316052d5, 0xfb87307b, 0x3d7f047e, 0x49bbac4f, 0xe58baf08,
+    0x61cdeb82, 0x153af1f2, 0xafdb1fae, 0xa6b3c876, 0xcc623cda, 0x795fa9a7, 0xfcbc4098, 0x3834ba51,
+    0x174b5efb, 0x1942de91, 0xec7107b0, 0x2df97aba, 0x08ffdd56, 0x91095503, 0x31636465, 0xfedaa403,
+    0xffe2584a, 0x70fa26c5, 0x73bace91, 0xbfe6fc7c, 0xa4d7030b, 0xde71872a, 0xa8681a5c, 0x8a2cdef1,
+    0xda0a4805, 0x32ed17b7, 0x39f5ec8b, 0x4aca1269, 0x5906533c, 0x572c79b1, 0x64711685, 0x0aaa4c6a,
+    0x5e755834, 0xaaece349, 0x40f8ae08, 0xbedb58ad, 0xa4907dcb, 0x013c8ea8, 0x13b5454f, 0xdb8f8bbe,
+    0xef593574, 0x1dff92c3, 0x91e4b5b6, 0x69eba1c8, 0xfe544908, 0xa4377423, 0xf204c182, 0x972bfac6,
+    0x81a46d9f, 0x64eb4ace, 0x6cc4689d, 0x7c4b7451, 0x26231732, 0x88223fea, 0x7c315f12, 0x20bb493c,
+    0x542c6c62, 0x51a5dca7, 0xa63f2680, 0x999d1283, 0x5148e357, 0xf0983232, 0xe2a82c70, 0xca36be4b,
+    0xc0750003, 0xefd42989, 0xd0d6581b, 0x0839b55b, 0x47120112, 0xfa4da533, 0x750aa0f5, 0x758ee8b5,
+    0x00a95d7f, 0x99da34dd, 0x2010ce40, 0xadc88d43, 0x8857e484, 0xf131a05d, 0x4cbefc70, 0x190fac3e,
+    0x3c6ed2c1, 0x1213effd, 0xb95c30ba, 0x8f6608b4, 0x5517a664, 0x7f59c82f, 0x2011c6f3, 0xd602bb5a,
+    0x24050e10, 0xbf600621, 0x766a2b2b, 0x2d7ea1e4, 0x77fd6fd7, 0x419027ab, 0x0d48e2fe, 0xad37f8de,
+    0x65fc856f, 0x36650822, 0xe8f27eee, 0xfdf7f504, 0x38690c7e, 0x45e8e3f8, 0x5e3e980d, 0xad034ef2,
+    0x862e34b0, 0xab63d844, 0x0d01e74d, 0x08e6f2a0, 0xd9821c09, 0x4b7837bd, 0xfaa6363a, 0xb2d40d9f,
+    0x94b34ec4, 0x47d9e508, 0xd8bc5767, 0x177d9591, 0x8b68be95, 0x5fa647a0, 0xdf7cf48e, 0xaf90a555,
+    0xaf690ccb, 0x7c53c30f, 0x4941a318, 0xf3df8092, 0x69bc9ba3, 0xd95183b9, 0xf48802f8, 0xec3436cf,
+    0x2e6b7cb7, 0x1540fe73, 0x9d15bd17, 0xc65dba5e, 0xf6eb6390, 0x978e8d91, 0xc5f31c63, 0xb7c8591a,
+    0x0c72cbb0, 0xeec3ac61, 0x20ce974d, 0xa4d3f6ca, 0x142943cd, 0x7e094ef3, 0xb3c2630d, 0xc036b9d7,
+    0x83f9cfd5, 0x29d12606, 0xc4a07afe, 0x51083892, 0x6cfcc202, 0xe5ca2e1d, 0xf159dd81, 0xe0a803db,
+    0xfb987da4, 0x67b5a831, 0x7c38cc59, 0x25d9bd09, 0x735dca15, 0x5fef42ce, 0x8d356568, 0x1a39e3cc,
+    0xdf14216d, 0x7a08f9b4, 0x550f833d, 0x9e8332f1, 0xf2127f86, 0x712b539a, 0xccab77c5, 0xd69616d5,
+    0xd25d0768, 0x8d02ecf1, 0x2a10a1fd, 0x04e18a52, 0xd788d2b3, 0x778298fd, 0x863dc3b6, 0x571f53d1,
+    0xa4a1901c, 0x2098b4c7, 0x5e921981, 0xcc83144b, 0x8a8c6ea6, 0x61cdda70, 0x6b950da7, 0xa6d98f63,
+    0x087664a2, 0xa2526301, 0x5dd2309a, 0xf4fdb2cd, 0x97398153, 0x6a0e5e73, 0x7dbe7e24, 0x674ab9a0,
+    0x3e7a0a2f, 0x46321a6d, 0xb9b9f40b, 0x3f139296, 0x4ed42b65, 0x70f0215f, 0x992c2aa1, 0xb58dba29,
+    0xb083b79f, 0xc5eef058, 0x4f94d8be, 0x34bf8ed4, 0x6949106c, 0x699c8935, 0xa347a883, 0x8dfd0894,
+    0xe4400958, 0x64cd0448, 0x250c60f1, 0xd9815ba3, 0x12b84aad, 0x7f046466, 0x79eefa55, 0x603406c5,
+    0xb421ab3c, 0xaaf5de47, 0x4e13bd9a, 0xe232b4fe, 0xeeabb433, 0x1fe8d738, 0x691c3bb9, 0xf0a3aa89,
+    0xfb0fed98, 0x2a31ae72, 0x493bbb8d, 0x4b74b4bf, 0x3b7557a9, 0xc984efcc, 0x03a1f12a, 0x11b51066,
+    0x4b9e12d1, 0xb1327c7d, 0x860057b3, 0x03619069, 0x1c1d4579, 0x261f4e47, 0x4935d4f4, 0xf8f0b2a5,
+    0xf1135cab, 0xc7c30f39, 0x92b61d1c, 0x18363620, 0xf18493f0, 0x6005ec86, 0x6abb8de1, 0x857d20ab,
+    0x80cdd3fc, 0x105ac7f3, 0xdcf489a2, 0x0adb3cfe, 0xd252c2a4, 0xceaa5273, 0xace7cf74, 0x217bd29b,
+    0xd641f2a8, 0x2b6bb037, 0xa2934945, 0x19bce948, 0xab578002, 0xdb40107a, 0xdf9e70b4, 0x02e588b7,
+    0x80c758a8, 0x781449dd, 0x637474e2, 0x897213dd, 0x99df12cf, 0xc134f29e, 0x80519802, 0x00035688,
+    0x04388d3e, 0x72e94dcf, 0xc5ee9d4f, 0xc0d67cc8, 0x131aa613, 0x0d339c7c, 0x55432b16, 0x14c752aa,
+    0xe705dfb6, 0x7309ecb3, 0x36f92473, 0xa9689618, 0x7f0a9211, 0x6d9a17fa, 0xbd2742ac, 0x10749831,
+    0x5d51c00e, 0x37c76d82, 0x28b58280, 0x2aca1cd1, 0xce534cc0, 0x1068df89, 0xdaf79dd9, 0x884693ca,
+    0xae697991, 0x42e58a35, 0x324cc1ae, 0xa225e4f2, 0xb9197a39, 0xd974e737, 0xe44604b3, 0xed6d6dc9,
+    0x4cacdf19, 0x03c99115, 0x562ab13b, 0x0b2176dd, 0x4914d263, 0x659f01d7, 0x0cdab280, 0x89f7c654,
+    0xcfb714f7, 0xccaa8fa4, 0xf2352cda, 0x9afaea25, 0xe529640c, 0x70c981f9, 0xabbb456b, 0x2c6e0271,
+    0xcb21c1cd, 0x5a7d2793, 0xdffe202b, 0xef235c62, 0x06ee0e71, 0xbbd8e471, 0x46294ba4, 0x88bc7c1c,
+    0x9e9edcf5, 0x9ee150ae, 0xa8118a1d, 0x598a2125, 0x264092f6, 0xd36faee0, 0x004a91e3, 0x53c8def3,
+    0xc037b9c3, 0x6aef4f45, 0x8797610c, 0x8eee0c5c, 0xb7f510db, 0x5f69120a, 0x377f7149, 0xd200c037,
+    0x2456d12c, 0x98355cc9, 0x6d934f5c, 0xcad51ec3, 0xb4b02e11, 0xfdc319b0, 0x3490017d, 0x0e22659a,
+    0x1c93d055, 0x783c79d4, 0x41b24b01, 0x4e098962, 0x9ae28338, 0x644e09de, 0x62b676e6, 0x7b6248b1,
+    0xe3c79304, 0x44a1925b, 0xb25fc1a9, 0x2045b12e, 0x48d32861, 0xde8cc932, 0x8ab167c7, 0x3c3d3027,
+    0x8bde8084, 0xe9c7cd9d, 0x1b9a077d, 0xc4f3c649, 0x907fb021, 0x39d092e4, 0x495a2d88, 0xa4996532,
+    0x54e5cfd4, 0x9b2dd492, 0x9341d67c, 0x2f02faca, 0x980c49e0, 0x84c502e1, 0x5e090478, 0x6d56fb4e,
+    0xccfb5445, 0x4242b03a, 0x9248b061, 0x4c948a5b, 0x601c213e, 0x03166a5a, 0x43291653, 0xb4318cf9,
+    0x3d653e8c, 0xe73caba6, 0xefe542d3, 0x1686da09, 0x9c7188e6, 0xe42227be, 0x428faa64, 0xd96db602,
+    0xb000b76f, 0x9f3eee9c, 0x3e046d11, 0xfac2f337, 0x0a2f1876, 0x7ee9d0c8, 0x8e4b69e5, 0xd5c19266,
+    0xc3764dd3, 0xa4829a71, 0x4443a7c1, 0x50a62179, 0xe5272377, 0x259b1974, 0xdefd7a26, 0x2173710a,
+    0x07654b9c, 0x9dabf94b, 0x62f4726a, 0x0fc57d8c, 0x424f6d05, 0x93bdafe2, 0xc25f7ae0, 0xab7502d8,
+    0x2bce458a, 0x9f74420a, 0x5ccd85dc, 0x700ff82b, 0x5dda74cf, 0x15e94dda, 0xbfd3fcce, 0xcb414f9c,
+    0x09c1a671, 0x1a695653, 0x515b007c, 0x65c03671, 0x4d6653a9, 0x1a920a9b, 0x5452bdf5, 0x11626204,
+    0x59fa5cb7, 0xfad8ffac, 0x3ea2f910, 0xd4ad462b, 0x6973a3e2, 0x8d8eff28, 0x5d5ab124, 0x51d1c094,
+    0xbb5e0e37, 0x1f714f46, 0xddb2d070, 0xe8e5d3ec, 0xbf8ddfbf, 0xa5ffe117, 0x2fd7da29, 0xdfc61148,
+    0xca782977, 0xc5754c1c, 0x96eeea64, 0xed77981c, 0xeab422ab, 0xc3d2ca94, 0x3121268d, 0x790ec8c4,
+    0x95def957, 0x7078d829, 0xf4bc92a5, 0x76a9acf5, 0x8569b827, 0xc6aa2029, 0x0eb58e00, 0x2cf5c620,
+    0x774ef7b9, 0x2fbdfd06, 0x766a7b1c, 0x205bfb51, 0x331343c4, 0x0280729b, 0xce0181a4, 0x38e08074,
+    0x72a34ffa, 0x8808865b, 0x9a4d2864, 0x389847b4, 0x7805aa5c, 0x32aeb5ea, 0x14633bd4, 0x92046322,
+    0x711d2cec, 0x157a594b, 0x115e24b7, 0x84c6944a, 0xb19ba5e3, 0x78450495, 0xa8d4b633, 0x0c9d4234,
+    0xbe035da0, 0x78af7b9a, 0xa1e496ef, 0xa2425e3d, 0xd13e79b7, 0xb5efc870, 0xa1cd07ff, 0x5aa900db,
+    0x6abf49bb, 0x988797c6, 0x1f23a907, 0xda82bcc8, 0x9ccb8a63, 0x2c910aba, 0xa8da746c, 0x83f8b95d,
+    0x05d87777, 0x7b81994e, 0x37249306, 0xda3f5cb5, 0x7e2b5d84, 0x9faba797, 0x455e6169, 0x1eb684b8,
+    0x672d4772, 0x5387cbdc, 0x641e51f2, 0xd6880e98, 0x1ade17f0, 0x068b4b1c, 0x713c6944, 0xe553121b,
+    0x15fe622c, 0x55d596a6, 0x4d82348f, 0x201fd598, 0xa096d070, 0x454c6423, 0x8974dcfa, 0xe80bb107,
+    0xa3a5c6bf, 0xa99bab90, 0x1fc3233b, 0x2470087d, 0x59e00321, 0x92a09a2b, 0xb4cec176, 0x56958b49,
+    0xa2bb54fe, 0xe29aa6ae, 0xa397a0e5, 0xd2881cfc, 0xc6cfda36, 0xc2afe6d2, 0x95116dbf, 0xb52f4aa0,
+    0x264b33a6, 0x33798611, 0x50187e43, 0x1a05f27c, 0x89de2de8, 0x5dc17f92, 0x25dfeb59, 0xe202b321,
+    0xb633f775, 0x2a8d5d5a, 0x88d8825b, 0xa077328b, 0x4b90e3ed, 0x174e1861, 0xbecaa018, 0x8c089323,
+    0xb31b2564, 0x63672c22, 0xcc7f438d, 0x04803ecc, 0x5b385071, 0x4f5c1bd3, 0x5f1fcde3, 0xd71e039e,
+    0x210905e6, 0x93703690, 0x4b50e34d, 0xb5401b9b, 0x7e5658ca, 0xca71724e, 0xc3f71fef, 0x1981bcb4,
+    0x9daff33e, 0x17b73b33, 0x75438108, 0x95c0ab5d, 0xc5b30be6, 0x4793a7d5, 0xa2ffba8f, 0xab8622e3,
+    0x396bdbe8, 0xd72d984e, 0x34a9c038, 0x6c62ca51, 0x2877cb60, 0xef1cac6a, 0xcb764d3b, 0xe6d10b37,
+    0xc12f94bc, 0x0d54d336, 0xcc542b66, 0xec1e53d3, 0x53751101, 0xbab78e91, 0x77e49c53, 0xb2e9f5bf,
+    0x145afb08, 0xaaa2f51e, 0x175def5e, 0x16f35aee, 0x04dfd3f4, 0xa5050cd6, 0x0128225a, 0xd7f97510,
+    0xfe95370d, 0xdb2bf8cf, 0x459d048a, 0x572be838, 0xcefccde5, 0xc80064f5, 0x78b3be88, 0xb2494b2c,
+    0x5646d8eb, 0x9a87d245, 0x2c617f42, 0x303b6dd8, 0x183bc601, 0xb0641339, 0x372b1c86, 0xd4fb32f1,
+    0xd614024f, 0x85bf15ae, 0xbc6e9fd6, 0x89f71480, 0x8348eab9, 0xb5ce4aef, 0x2e71d33d, 0x3e49d8f9,
+    0x39de4863, 0x0aba5178, 0xcc2cce3c, 0x01fc7476, 0xee14ab8a, 0x9bf34853, 0x8f142031, 0x4e63fd0b,
+    0xe1ef66bf, 0x0c8289b5, 0xe0192dbc, 0x07dabeb2, 0xf99963ba, 0xa9df851b, 0xffa8b1ec, 0xb472a19b,
+    0x32259855, 0xff46084a, 0xd045aab9, 0x3a095e89, 0xe0a7f7e2, 0x836f6107, 0x2e5d6b83, 0x7a29ef5d,
+    0x0e824abd, 0xaa29ab7e, 0xc15e5e1d, 0x753f5c83, 0xcce8cb8c, 0x5f9c0f21, 0xc8f88034, 0x6b7d51db,
+    0xf11b35c3, 0x35153866, 0x9fccda36, 0xd8cc1e27, 0x7deef28c, 0xf76b8431, 0xd80a9d32, 0xe9d795d9,
+    0x130ac217, 0x2088fd25, 0x18d3ed56, 0x49fdb85d, 0x8b8bae63, 0x48ee55e4, 0x07478a55, 0xfd9f69ec,
+    0x852fb418, 0xc42f3b08, 0xab6e3029, 0xf5f54d68, 0xf8500617, 0xc4189d63, 0x38c1083d, 0xf9f43006,
+    0x63c84033, 0xedbb3a02, 0xbcf57176, 0x74c4a97c, 0xf0b08c8e, 0xa4433b2c, 0x3be97416, 0x4f031717,
+    0xf36f1289, 0xbd75aeda, 0x07d7e84c, 0xc703c6e5, 0xcb66481e, 0x07c2f3a4, 0x851a36df, 0x398e590a,
+    0xc7cc748f, 0x848da265, 0xb71409ce, 0xa4c9216c, 0x527dc8fb, 0xaf19769b, 0xd65da4bd, 0x6d6b681d,
+    0xe65ca977, 0x2b1975b7, 0xe3c94ffd, 0x916c3a9f, 0xc87c0d05, 0x90560045, 0x51e99439, 0xc256f34d,
+    0x6dcf6fcb, 0xf8e14029, 0xfc95ec55, 0xbf20c7bc, 0x0f334144, 0x5440902e, 0x3587500d, 0x724bd3dc,
+    0x319dc910, 0x60411306, 0x34884484, 0xe9bca393, 0x118c1f23, 0xf2d065ba, 0x9256103d, 0xd401528f,
+    0x53dde2bd, 0x2bfda949, 0x4568aec1, 0x6eefb92d, 0xeb8f495d, 0x60535ba8, 0x04658549, 0xa6c92634,
+    0x87b9d88f, 0x8fb47846, 0x548aed1c, 0xa29f468a, 0xf54faaa3, 0xd25a89cb, 0x1cfbb488, 0xf7e07665,
+    0x0194e6b3, 0x1d70de8b, 0x78808c47, 0x213567e6, 0x3b346aeb, 0x388e23f0, 0x2340e9ef, 0x45b6929c,
+    0x3fc2a513, 0x877b2752, 0x33736dc4, 0x5505f859, 0xe41851fa, 0xc9867e96, 0x90960e0a, 0xd26c01ff,
+    0xbd9a55a8, 0xa275d0aa, 0xa514a14f, 0xfc811593, 0xcec9b2ec, 0xcd76a5d8, 0xd561ad9d, 0xc14f32d9,
+    0xee63ce41, 0x4600f8a5, 0x1dfac9c5, 0x53645fd8, 0xee623e3c, 0x0f1df5df, 0x86c64b1a, 0x8cf55b4d,
+    0x86abfa9e, 0x52b64a7c, 0x9ab800a0, 0x933206d5, 0x14433862, 0xac145a90, 0x22222750, 0xdec29245,
+    0x00000000,
+    0x5cf0b39f, 0x36d59010, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979,
+    0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000009\
+                         26336713898529563388567880069503262826159877325124512315660672063305037119488 */
+  { 0x00000000,
+    0x00b999ff, 0xf6e8f6b2, 0x0ed50d1c, 0x5e43ff9e, 0x653fb2e6, 0x4b866f88, 0xae951bf5, 0xf0a7c829,
+    0xd04a087b, 0xe193daff, 0x96f75f84, 0xbb322e50, 0x2ec96d0b, 0x1614bf0c, 0xbbb0dfab, 0x15641057,
+    0xb56bb36e, 0x17138806, 0xdf2d4115, 0x96e2db6a, 0x22d8c5cc, 0x8868ed07, 0xa085740f, 0x9dad36f7,
+    0xd13d7424, 0x81afd859, 0x12e4a878, 0xe3e3f336, 0x51200c30, 0x7ae788d2, 0xd351034c, 0x9c26dfce,
+    0x619fa1b4, 0x85eff154, 0x4786569a, 0x4b9fc930, 0x8eee77ed, 0x73cc5315, 0x68095f5b, 0x16e4f72e,
+    0x0485658c, 0xbd402d37, 0x921e46fc, 0x31ebe8e6, 0x210e0497, 0xb1c1128a, 0x89166c8e, 0xa570cabd,
+    0x9abcca40, 0x1ec67993, 0xadfad9c4, 0x91e20024, 0xed46f51c, 0xa738274c, 0x2240ba3d, 0xe8449bbc,
+    0x94d8d6f9, 0xc99d1782, 0x3963a4e0, 0xe311b280, 0x242b4172, 0x6c352ac3, 0x797e0c3d, 0x4bfee05f,
+    0xe3275488, 0xd3eeda47, 0xcc78820f, 0x9e6a0d72, 0x574fb21c, 0x31a4564c, 0xd42947b2, 0xdc53d84e,
+    0x3e622f89, 0x9c326167, 0xb2c25916, 0xe1133ff9, 0xd6fa5e9f, 0x6cc703fc, 0x75ae7933, 0x26b241cb,
+    0x5c8162ba, 0x3eefb414, 0xd0b66481, 0xec59eed2, 0x64081241, 0x6ff5336e, 0xa5274241, 0x5ba0829a,
+    0xa511957b, 0x3ebbb159, 0xb639a277, 0x194b3406, 0x9ab0f4d0, 0xd489808a, 0xa82b28d6, 0x22deea25,
+    0x1028091f, 0x8de230c8, 0x7a4b9c4b, 0x2120b72f, 0x5689c103, 0xc0c8e41f, 0x650a7f5d, 0xb5455d8d,
+    0x82c1519e, 0x821e06e3, 0xacd1dfe9, 0x61b63ff2, 0x23350457, 0xe1f8e262, 0x2dffd9b7, 0x832f53df,
+    0xc7155bf5, 0x0a472040, 0x25005600, 0x75350a6d, 0x03dc374f, 0x99e0ac59, 0xb2cd20f5, 0x1bd7fa9f,
+    0x9d5c1d31, 0xf7f3f286, 0x823e77d0, 0x0c5093bf, 0x3032237e, 0xca4004df, 0x031c423e, 0x4f4a951d,
+    0xb4bb3c9a, 0xbe883766, 0x97618234, 0x3fbfe8a5, 0xc71eb87c, 0xab03924e, 0xcbeb6f45, 0xda27c036,
+    0x91b7b205, 0xc1bd92d1, 0x361ff494, 0x2bcea04b, 0x45c7e798, 0x022da29d, 0xfbf46a12, 0xc51ad6a8,
+    0xb0db5db6, 0x3c5bf7f6, 0xde56b047, 0x75befd33, 0xddc46710, 0x1f42db76, 0x2055ae03, 0xd266d316,
+    0x15489ab4, 0xa013974b, 0xcd81582b, 0xc2805931, 0x0df4191e, 0x64a3293b, 0xa36c2513, 0xdb935755,
+    0x72261864, 0x8e78d3b0, 0xcf5b7a48, 0x6011b3b0, 0x97a2c611, 0xc065c8d2, 0x789b3766, 0x73da6fa0,
+    0x930093b3, 0x750f8eee, 0xec885fcd, 0x19070950, 0x10eef15d, 0x31463a04, 0xaaa69e52, 0x9581ced0,
+    0x926603a9, 0x210cbbc9, 0x520f048b, 0x671eb1d3, 0x9d346312, 0x0dfc83cd, 0x2fd3fc24, 0x2b545f74,
+    0x04744e7d, 0xe52e5aba, 0xb3d6a456, 0x3fac4ac7, 0x7dc2cb6b, 0x4ccf5f89, 0x41344149, 0x99106943,
+    0xf8b816a7, 0x302b071f, 0xb6ffa3f5, 0x7813f2f5, 0x847e4896, 0xad78f738, 0x0c41af47, 0x17a4f37d,
+    0xa0971cb6, 0x410de639, 0xb34640a1, 0x0c488953, 0xea803fe0, 0xe8e5c174, 0x920787d5, 0x98af18e0,
+    0x3dedafde, 0x44a512d9, 0x5421c1fb, 0x408f6587, 0x0c7d6589, 0x45d02027, 0xb4aff1c9, 0x8ddb8b7c,
+    0xc5bdf8e6, 0x0297c6f7, 0x7ee3d5e4, 0x1e3b46b3, 0x04180e03, 0xaf50256a, 0x3f1b1bf4, 0x86da815c,
+    0xf73d694a, 0x2f300b90, 0xe43b5fc3, 0xecefdf98, 0xf40a82d0, 0x86577256, 0x1b377484, 0xc3f5c157,
+    0xae4000c1, 0x8c1f643c, 0xfb623d77, 0x5ef1be2e, 0xc07ee465, 0xa2c2ba5c, 0x91573f05, 0x8ad7cc8f,
+    0x71397069, 0x9b84ec4d, 0x8f4cb3df, 0xcad3981e, 0x98839567, 0xaa789248, 0x7819647a, 0x333b1974,
+    0xe658ac0e, 0x06c96b3d, 0xafe1a73a, 0xaa4f1c1d, 0x45a5ea32, 0xb0462f43, 0x88ff9f59, 0x0859237e,
+    0x9114d011, 0xb048fbad, 0xa65a8222, 0xf65f3141, 0x4d47007d, 0x19a994c4, 0xb5edf206, 0x7ed7e2f1,
+    0x4e26a96d, 0x16702470, 0x19acbc5b, 0xaa1721d2, 0x178adbd5, 0x3d85c0c7, 0xc030befc, 0x4a4b8b18,
+    0xaf84e875, 0xec193ac3, 0xb8757361, 0x655df8a5, 0x87ff8af1, 0x80e81298, 0xbf3d6676, 0xfc2a382f,
+    0xb67f3654, 0x5a7e7876, 0x901577e0, 0x7f2c1890, 0xf569feb0, 0x16cc4baf, 0x005bfe6d, 0x1f3262c9,
+    0x24eb3b60, 0xbc8423d6, 0xa7914102, 0x791a684d, 0x69a3d92d, 0xe255ae48, 0x9944a075, 0x80bef394,
+    0x13c1713c, 0x4fd0fcf3, 0x49ba91f6, 0x275bf4ae, 0xcaf52f21, 0x4190c0a0, 0x0413faa0, 0xd24c6afd,
+    0xa54fd562, 0xadee35c8, 0xbe4505d5, 0x4097a73a, 0x62bf3f77, 0x1765d47d, 0xd46c4cc6, 0xed16411b,
+    0x04238e69, 0x7f3864ca, 0xceb602df, 0x5a4675c6, 0x97341737, 0xdacf9bd3, 0xb2f34ae1, 0x9ce439a1,
+    0xafbb7d9c, 0x3f79e642, 0xff95868d, 0x28956025, 0x7aec3fb2, 0x6e1b1a8e, 0xdedbca6b, 0x2841ccfb,
+    0x395c21c1, 0x12d93bd7, 0x04a41eee, 0x52a08e72, 0x7539c0b2, 0xa05937c7, 0x65b92a79, 0xc4434412,
+    0xf21b26fd, 0xb47eaca1, 0xa0409d74, 0x1f86f40a, 0x1ae90cd2, 0x9ee5d2a9, 0x445f16fb, 0x85d4e421,
+    0x41a27a61, 0x49dc1cdc, 0xd49b69d1, 0x6b30b329, 0x9302897e, 0x541bf0c3, 0x4733d4ae, 0xd58c35e6,
+    0xaf7ac8a6, 0x19890b00, 0xb1ba6779, 0xc02ec452, 0x574833c6, 0x6c604e2c, 0x4eff06fe, 0x1dd6e592,
+    0x2d47abd9, 0xb5609789, 0xaa73d522, 0x14f839eb, 0x368f2816, 0x1cc1e57f, 0xd105522a, 0x2f214d89,
+    0x2203378a, 0x56eeb013, 0xc151a7c0, 0x9d61ecb4, 0xc9ee6786, 0xdb16dc06, 0x662dfcce, 0x3ef051d5,
+    0x6a62021a, 0x53b6cdb9, 0x3f6dd921, 0x80af2eb1, 0x07e8bbc3, 0xde23f91e, 0x16101f0c, 0xc3095b0b,
+    0x650fb842, 0x3f071699, 0xaf4b5bb1, 0xd8adc74b, 0x209676c6, 0xde99fca9, 0xff4f117a, 0x1a12e8f8,
+    0xf766ecbf, 0x69d25d21, 0x2e99ccef, 0x49c36154, 0x5e1fd7e6, 0xd4ab3f64, 0x19c9f1a1, 0x6d96851d,
+    0x937a10ed, 0xf81e5464, 0x33b10739, 0x4447aa16, 0xd6751e59, 0x562f8c43, 0x2f980a13, 0x3d39ec30,
+    0xf83d42bf, 0xd3ae783c, 0xf8afeff8, 0x508db226, 0xca16e6af, 0xcac215d3, 0x94ba53eb, 0x53cbaf7b,
+    0x635c01df, 0xfa2041bb, 0xf8955964, 0x1e32bdc1, 0x91b1d3aa, 0x8f9c0176, 0x08a65dbe, 0x57cf9b69,
+    0xa30ab9b2, 0xa80cd4df, 0xae2bc488, 0x45d6d8a7, 0x2b623e1d, 0xd9869f43, 0x9ccd4312, 0x55f7c1e4,
+    0xe471990e, 0x24cff022, 0x0489b31f, 0xeb29256c, 0xcd1748f4, 0xd15018b4, 0x7f3f8f9d, 0x337921f8,
+    0xe7fab51b, 0x962e1a88, 0xad01eda8, 0x0f00b969, 0x1948006d, 0x92c609f2, 0x3cd7edbc, 0xa86dcb34,
+    0x318af447, 0x086ec38d, 0x9d289955, 0xa0abc34c, 0x07d7ce72, 0xe7edfb1b, 0xc3b18e78, 0xf392d248,
+    0x7231c30f, 0xe6254dc2, 0xe866eb87, 0xc0df5abb, 0x6e974b8e, 0xce25db38, 0x023c02f9, 0x90ed5090,
+    0x7f8f53cd, 0x50aec428, 0xeb1c5fb8, 0xb2a4a9ec, 0x68e66423, 0xfb7ecce1, 0x95fb1fc0, 0xe108a942,
+    0x50b504ba, 0xa56c3cac, 0x31bc1f35, 0x534d4578, 0x5591ab0e, 0xfaa69974, 0x5ab553c4, 0xb233e8d2,
+    0xd3e87e38, 0x666586f4, 0x333584d7, 0xf4fec987, 0x17e6f305, 0x87004561, 0x3d068504, 0xdf6809e5,
+    0x408321a8, 0xbc056e50, 0x7599d8b6, 0xf58fd900, 0x98ac969d, 0x8bca18a0, 0x5f146e3a, 0x0011de42,
+    0xe3cf21c3, 0x366928e2, 0xc9f1111d, 0x51a15d5e, 0xb40ba122, 0x370fcf86, 0x76f8c3ea, 0xd2241223,
+    0xbd4ae59c, 0x101e977a, 0x0488c0f0, 0x622d6f44, 0xee9bfe0e, 0xa3d42b94, 0x1a7a4362, 0x409ac867,
+    0x924dd050, 0x8608cd24, 0x047e35b8, 0x9572b0d6, 0x76ab548b, 0x0985b467, 0x34c11716, 0xf482af1b,
+    0x1ae7cfe8, 0xa16d0a58, 0xc30aec6a, 0x0fb8fd0e, 0xec21e575, 0xc4d647c6, 0x9ff877f1, 0x8bc0089f,
+    0x9d7fd58f, 0xf8623ec5, 0xbdb6e597, 0x97391cb9, 0xb616cb9e, 0x86d3cf9f, 0xc5412f70, 0x4b456829,
+    0x9df5e8c3, 0x3bf21e06, 0x47acd9ed, 0xcef26d55, 0x0e88676c, 0xba03395c, 0x758d05f7, 0x6bbbb96b,
+    0x65c5d3ac, 0x172d415d, 0xb1d34ce1, 0x8a497465, 0xeccb63f8, 0x26530c1b, 0x1a5834cc, 0x50c9e9cf,
+    0x0c4f0a7d, 0x9236c268, 0xe2310d1e, 0xaa261802, 0xfa8156a8, 0xf7eb57a0, 0xd085c695, 0xa1730471,
+    0xf163e3c0, 0x55d3e9a6, 0x05dcf634, 0xba6044a3, 0xfd123b27, 0x74fd87ee, 0xb265de80, 0xe9b82e6d,
+    0x6f6f9fd5, 0x5bd5f4d1, 0x3f21048c, 0xe55678b7, 0x803ead3b, 0x30ac877b, 0xa79b98f4, 0x167c9817,
+    0x21cae72e, 0x831d499b, 0x5349baf1, 0xd9790bc9, 0x3938c526, 0xa4fd2461, 0xf80d4e6b, 0x5b6c2fcf,
+    0xa89c69a4, 0x78d31f2f, 0xc129ac4a, 0x48b12420, 0x62ed9973, 0x36756f15, 0xecb75346, 0x0c8d573d,
+    0x9a36d87e, 0x840b9a07, 0x28596764, 0xb03aff8e, 0x1f764618, 0xe8ed796c, 0x70e3457e, 0x871956fd,
+    0x86945060, 0xd848fa4c, 0xb39c6e1d, 0x190375ea, 0x7283a6b0, 0xd4ab256a, 0xa246e97d, 0x95226239,
+    0xa0dd4f3b, 0xc9e68ac2, 0x82bbb429, 0x29cc6843, 0x2656d316, 0x39e274a8, 0x4c178bd7, 0x57713726,
+    0xb54298e7, 0x765409fe, 0xa5a8e5c8, 0x28f53b0d, 0xb9f3bddd, 0xfef5c4cc, 0x90e572b0, 0x7d5d0b22,
+    0x50537918, 0x28075f6f, 0x9c9ef584, 0xd89bc759, 0x7a1a8700, 0x7a403ca3, 0xc0b16005, 0xefc048ba,
+    0xf59172e4, 0xd3801335, 0x38ed27cb, 0xb805e566, 0x219c5c96, 0x36bef12a, 0x7c11e9b0, 0xa76e2775,
+    0x3f568a91, 0xf62d8dd3, 0x7ca0bf3d, 0xdcb6b9c6, 0x737af702, 0x3be250d4, 0x257c574c, 0x9604801e,
+    0xff35a3c2, 0x4a3efecc, 0xee308c78, 0xc942af7a, 0x788fc1e3, 0x105ea5ae, 0x19a724df, 0x2aee2dab,
+    0x927f9017, 0x532b0d98, 0xe3e1b2f0, 0xb45427f3, 0xd6c58bfe, 0xb04b6f81, 0xe1c42d44, 0x779c4062,
+    0xa1aabf5e, 0x5ee6e280, 0xdd6ffe11, 0x603f532f, 0xff2b43db, 0x65951c29, 0xc7fd4e2d, 0xff456efa,
+    0x796ce07d, 0x44be7d4e, 0x9be4a4ce, 0xc987d289, 0x4ed499e4, 0x3c38f9c3, 0xc5bff056, 0x5a7f47b3,
+    0x1df389f1, 0x15362b1a, 0xa59a5c4d, 0x06a8b65c, 0xe55edde9, 0x403221e9, 0x9b499430, 0x4103c8f7,
+    0xa16d58cc, 0xdc586f43, 0x1a7a1008, 0x8dba9231, 0x6afa2839, 0xa7099a45, 0x9e8e3b16, 0x21994ddb,
+    0x761be055, 0x80c6b3bd, 0xf0f22f59, 0xa1238f79, 0x3cae18e7, 0xb3c50cc0, 0x4a225708, 0x503cb35a,
+    0x757aeb21, 0xef7b6f15, 0x405036fe, 0x30c97a91, 0xba6b0b6f, 0x87b8cca7, 0x4d5efde2, 0xf5abcaa2,
+    0x19bab76e, 0x0e203bc9, 0x1a0f3c77, 0xf19de844, 0x0a50113d, 0x749be18b, 0x3220e8d6, 0xc7442015,
+    0xc4c4f1b8, 0x24ffbc0a, 0xa8dc0da4, 0x7f59aa45, 0xca41c0dc, 0x974738c7, 0x5c0b3e0f, 0xad0884c2,
+    0xf0d713f6, 0xcc9dfa62, 0x42b2e24e, 0xfe675e52, 0x6ee78d57, 0x89ca4ff3, 0x601bab92, 0xc9347b61,
+    0xc2bfe6de, 0xea87f5be, 0x5570a305, 0x85376a2e, 0x81952741, 0xb6c03ceb, 0x09c70274, 0x07207e50,
+    0x5f91e47b, 0xd5b9f985, 0xb6b3eaf3, 0xdf2e36ad, 0xe453de9d, 0x8655c88a, 0xe2c303d4, 0x052f1b2f,
+    0x644e4639, 0x3cf76329, 0xa734e7a6, 0xff9dcb44, 0x3eaa44ab, 0x796de1d8, 0x6f2cb845, 0x5546fbe2,
+    0xc94dd3fa, 0x798e439d, 0x6974611b, 0x5d43b835, 0x0432524a, 0x72828d3f, 0xf73e4143, 0x6d417b03,
+    0x94ff4bec, 0xdccf056c, 0xe221cf35, 0xf7f78a9d, 0xb96a705c, 0xf8aaee52, 0xcf5e3450, 0x94eeec70,
+    0x5807ad6b, 0x7dc5f40d, 0x04c4af82, 0x62178a8a, 0xa342d5f7, 0x5406b6d4, 0x94e0eb0e, 0x307a2f12,
+    0x7a85c3c6, 0xfc789131, 0xefcea119, 0x1374c12f, 0x67349c7b, 0xbcfe1d48, 0x31861b6a, 0xa2b8295e,
+    0x6fea374d, 0xf5e390ca, 0x153f0ce4, 0x04d18c0e, 0x1e9456ca, 0x5b2e79a5, 0x44a96789, 0x6f4ee1d8,
+    0x05c20fe1, 0xb29960bc, 0xc11db411, 0x6eb3e80d, 0xc4df8da3, 0x447543fe, 0xad15b441, 0x92bc354c,
+    0xefe6e79b, 0x620d75bd, 0xd3ed55a6, 0x0ed20aaf, 0xef7b8e8e, 0x2927e8a8, 0xc4458411, 0xa7cfbc9e,
+    0x8c13089f, 0xcfeebe5a, 0xfd89eef5, 0x5ac45971, 0xf5145132, 0x792870f9, 0x414ebf85, 0x50b85cdd,
+    0xb8608c9a, 0x4bb7c56c, 0x881a24d4, 0xd9b406e5, 0x7006610b, 0xd0c75a9a, 0xdcf9bf4a, 0xb5c15e55,
+    0x36478a39, 0x45f0c43e, 0x9a80b4cc, 0xdbb1067e, 0x758ae29c, 0xb1aa2c5e, 0xb91a0fe8, 0xe04808e5,
+    0x6385888a, 0x0c18a1c8, 0xe73a5ad3, 0x756a60cf, 0xeb7a89f6, 0x483440e3, 0x3f63d6ed, 0xc54e4850,
+    0xc984b167, 0xe5160b8e, 0x290867f2, 0x29cd15f1, 0x38d9db2e, 0xc6d1122e, 0x59100c05, 0x5a15729c,
+    0x99c74f93, 0xa347949f, 0x4de6589b, 0xbae86b3d, 0x5f2e4867, 0xa23726b1, 0xa3dab855, 0xb92a3ada,
+    0xa505cc87, 0xfa9c8318, 0x52ebc487, 0x39047834, 0x6b7ef79e, 0xf772c1e5, 0xabbc079f, 0x8f11a21b,
+    0x85060066, 0x07b61c43, 0x5e81e909, 0x7eba0f46, 0x5311c888, 0x536eb5ad, 0xc7e21c31, 0xf213f4d3,
+    0x14afe260, 0xe2f0dca5, 0xc763ce8b, 0x03f26907, 0x810aba18, 0xdca3f017, 0x89bdf668, 0x92a60d82,
+    0x7849c5b4, 0xf6daab7a, 0xa7e98d76, 0x202a5672, 0x3fd7990a, 0xa97d44c0, 0x1a5fcc6c, 0x959e2fff,
+    0xcf4dd613, 0x0d405636, 0xf8e57b1b, 0xb4e436b7, 0xe5d8b3c0, 0x3ed51250, 0x3ec6955d, 0x9998439c,
+    0x3a856182, 0xf590d33a, 0xdc067a61, 0x3f6d2db8, 0x464cbc63, 0x703bf4df, 0xda181918, 0xf1c4a0ca,
+    0x61be9013, 0x1527f40f, 0xb554c36e, 0x23d6bff9, 0xdeead70c, 0x7c73d278, 0x8fc85d3f, 0x0e3f0240,
+    0x3aa17bb7, 0xa4d6ed86, 0x57b11ec0, 0x91729474, 0x338f3cdb, 0x3ac6e63e, 0xe332be7a, 0x72e8663e,
+    0xa501f22d, 0xa647f28b, 0xf6171171, 0x67cf0a83, 0x6c7bd4b3, 0xed538945, 0x5b307196, 0xc4892920,
+    0xfc2d1991, 0x690e6852, 0xa3b2aeda, 0x0d4b846f, 0xd1dbcaa2, 0x1abb723b, 0xcaaabc5b, 0xfaa7e4e5,
+    0x73351a48, 0xcbdb3cc9, 0x4ea38b2b, 0x5eb358fa, 0xf46f9b2c, 0xcb596627, 0x15fcdeab, 0xf93280c9,
+    0xb14969c6, 0x5415b881, 0xdb52be68, 0xdca48edb, 0x2fcb6b7e, 0x46f5d4e5, 0x23a191ed, 0x691e89ed,
+    0xa5600471, 0x3359cfe2, 0xc0343755, 0xf4e28dd1, 0x7360a687, 0xaddc0c34, 0x6b2df3b1, 0x0ac0ea7b,
+    0x1bb7b025, 0x8f192a67, 0xf4e79c80, 0x0f853d2b, 0xa0341876, 0xc90c8a86, 0x45d2e3b0, 0x4d5ba6ad,
+    0x7f538ffb, 0x0b314483, 0x6bfcb8cc, 0x39b4b6f0, 0xadd7041e, 0xed233a67, 0x0538a5c6, 0x7b204892,
+    0x60518bc5, 0x716efa58, 0x846d88d1, 0xd2f454ac, 0x2e6892ca, 0x25f54d5d, 0xeda737fe, 0x4e243067,
+    0x1e784e9d, 0xa64d8a62, 0x1166209e, 0xb930afeb, 0xe3d5c86c, 0x559e518d, 0x7190011b, 0xbc8b9e0f,
+    0x79de0aeb, 0xc4135f5e, 0x59c233f6, 0x016a25ee, 0xf129cab9, 0x559a6382, 0x32ae24af, 0xa8dbd8a3,
+    0x00000000,
+    0x2e7859cf, 0x1b6ac808, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc,
+    0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000004\
+                         63168356949264781694283940034751631413079938662562256157830336031652518559744 */
+  { 0x00000000,
+    0x6181be7d, 0xb302b07e, 0xc4f8e718, 0x6874d69a, 0x9215297d, 0xff83c66c, 0x2052a9d1, 0xa3b0927c,
+    0x2a167f12, 0xdb0f5345, 0x8c5c6ed4, 0x0d791ed7, 0x6e5d325a, 0x642af212, 0x9c6470d5, 0x8ac2a47e,
+    0xa5ae44cd, 0x97696732, 0xa9d44535, 0xf18a8120, 0x77a7cb9e, 0x7aaf1fed, 0x6df6ea5d, 0xed693e1f,
+    0x0f009f58, 0xecfcbaf3, 0x52e0abb4, 0x71018116, 0x9444dbb7, 0x11e90e99, 0xf4e798e0, 0x734b476c,
+    0x8e7da40b, 0x5da5f3e8, 0xb4a8c165, 0xab9bf5d5, 0x249156bc, 0xe9bc5bde, 0x3d325773, 0xeb14c134,
+    0x78ae97fe, 0xaf4b222d, 0x8367d0f7, 0x50a939bd, 0xca8ce4d7, 0x35043a02, 0x7ef3a3e4, 0x6ef6abf4,
+    0x76568931, 0x120fecdc, 0xdba028a9, 0x1bfb8c1d, 0x3ee65164, 0xd16c3dbd, 0xab5e0876, 0x855b68f9,
+    0x64fd6a27, 0x502005f4, 0x928cc38f, 0x50011727, 0xf84c0b71, 0xdc010787, 0xb832fd87, 0x6ab5f4a4,
+    0xa21fef78, 0xd706c4f2, 0xa2d570dc, 0x105c4442, 0x1cc1cb64, 0xbe1b16c6, 0xdf1aa575, 0x582e2e43,
+    0x3c7933bb, 0x2a07bef5, 0xc43e946a, 0x7a8b97e8, 0xdd119c2e, 0xd6e3b2f6, 0x33ae8ec0, 0x0246dc8d,
+    0x0494b685, 0xb45b5efc, 0xa3b9c6b5, 0x282f7b6e, 0xa11a3ceb, 0x69328828, 0xd161023d, 0x2f9e8bca,
+    0x75353a0f, 0xdca4816b, 0x793ef431, 0xdd9702ac, 0xdba3ab5b, 0xedcd10b2, 0x3f8b2985, 0xb6bb3665,
+    0x81c16e4d, 0x9009c1a7, 0xb51f5557, 0x4d988ce0, 0xe48eece0, 0xcb2be385, 0xed0e5cb9, 0x2750dc1a,
+    0x9072b017, 0x1e022433, 0x14a52d25, 0x9a9bfb9e, 0xb000d0a4, 0x757d1641, 0x9b4101c9, 0x7220403a,
+    0xd30319ca, 0xd67aad4b, 0x41f12ca6, 0x88e619e0, 0x6c1f8a85, 0xe0ad1fb1, 0x63a18d36, 0xc4b9cad0,
+    0x4d243db9, 0x494c98dd, 0x45930a27, 0x15245ac5, 0x777715d3, 0xd1f38bb5, 0x583ad361, 0x772a3f8b,
+    0xa38efa57, 0xa7aabbd7, 0x8ba07490, 0xcddcb914, 0xa6a6d8f5, 0x74c09dfd, 0x04aaa3b5, 0x9515d02c,
+    0x8d0261ff, 0x2d4c9c4a, 0x48e31e86, 0xba64297c, 0x7f2e702f, 0xd93badc2, 0x16f29e12, 0x19bd5a76,
+    0xf52330de, 0xe835dc10, 0xecab282f, 0x7812e44f, 0x03385ef5, 0x6e9981e6, 0x3c632efd, 0xe21e4423,
+    0xa493578d, 0xe93bd63b, 0xf97ee179, 0xe0ecd5f2, 0x4696733f, 0x56614a35, 0xcd9fe614, 0xdffb401a,
+    0x3af2a198, 0x32bf14e1, 0x6d90664f, 0xa604d4b9, 0xd0141dc4, 0xa6c53d02, 0x6518ba79, 0x5c6ce985,
+    0x200f2ccb, 0x3d240025, 0xa91904ca, 0xe122a84e, 0x502a1329, 0xe790f0e5, 0x0cc9fd9d, 0x6fc3f423,
+    0xe0002ecf, 0x27b2e2e1, 0xa4ef499c, 0x2d523e81, 0x4f827435, 0x72e63dc3, 0xd8817e4a, 0xc5e87d2b,
+    0x64a3b0dc, 0xcbd285b1, 0xa5811dce, 0xfa59f8d0, 0x12facfea, 0x5b974268, 0x5e7b8d50, 0xa3a87d37,
+    0xcc18030c, 0xbdb3c7d7, 0x2be02bb8, 0x82d50e01, 0x8bfbf378, 0xc149dac9, 0xf2ef3c24, 0x56fd81cb,
+    0xc8ea89ed, 0x6e3c492e, 0x0ccc31d0, 0x87597ab6, 0xe74beab7, 0xdd09285c, 0x6e8b835a, 0x0e7069b3,
+    0x6c86991f, 0x52feb52f, 0x555a3234, 0x7e6508fd, 0x5f3fcdd3, 0x9a51838c, 0xc77ceccf, 0xf0a59c25,
+    0x2bafc720, 0x8a690f29, 0x9e289da0, 0x4c93052d, 0x4648348a, 0x18a8ebe7, 0x3c3c9409, 0xe4667ba5,
+    0xcb376e16, 0xf7ecb862, 0x3352d3bb, 0x0cb680e7, 0x51f1cf57, 0xcbe23086, 0xd89407e8, 0x940d4a2b,
+    0x7b20b72f, 0x08f25fac, 0x7922e73f, 0xa669701c, 0x62a2da2c, 0x81034076, 0xe958cdbf, 0x9b1e325e,
+    0xbf747d1f, 0xed8214fe, 0xcf69aa50, 0xba363823, 0x1a7b0754, 0x4a790434, 0x0fe69b50, 0x36805507,
+    0x8fe1ab8b, 0xda7cfe36, 0x705bf65f, 0xd8edbc5a, 0x9450383e, 0x2dcc65f8, 0x333cc261, 0xe5e22606,
+    0x254af2df, 0xbc24d2f7, 0xdeb5ff79, 0xb50e4588, 0x775fb9fa, 0xe3563fab, 0xb37127b6, 0x21e8b26c,
+    0x6bac0318, 0xca51afd9, 0xb87e0b9e, 0x752de25d, 0x842052c1, 0x8e112b35, 0xf95b3d55, 0x3eadbaed,
+    0xf2593470, 0xf07cb640, 0xfa37bd72, 0x096f22e6, 0xef9d68f5, 0x2cbb37d2, 0xf90be377, 0xab47ee94,
+    0x278bbed5, 0xe8c63512, 0xd23c884c, 0x8a359226, 0xbf16215c, 0x44b49014, 0x01dca707, 0x1636bfd0,
+    0x31d6ffbd, 0xdebf53c8, 0x4fe7a5ce, 0x11ae6215, 0x13f3323f, 0xc08f811b, 0xb27fbf9f, 0x36732748,
+    0x17358a8f, 0x9cfb581c, 0xec205c78, 0x3ea7abdb, 0x4a4f8bfc, 0xfa86aa85, 0xff5b6391, 0xf99d6440,
+    0x3bad070c, 0x59479ca1, 0x5339fb54, 0xf1cc57ce, 0x6c9d9672, 0xa3753474, 0x09e09661, 0xae55064e,
+    0xe257d713, 0x735f3242, 0x9cda76f9, 0x2370f469, 0x44bf16e1, 0x69089895, 0x16fbd379, 0x5762f850,
+    0x58bab63e, 0xc43eec68, 0x30f974b1, 0x57639409, 0xde490462, 0xaf128c94, 0x361a72a3, 0xe5ef4694,
+    0xdfcb360e, 0x5432e9f3, 0x35152843, 0xdcdc3f7b, 0xa77bfc31, 0x03545eb8, 0x440a0cd3, 0x0ad9f51e,
+    0x28a13244, 0xa26efb90, 0xac4c4b0e, 0x645f1bc0, 0x33000ed4, 0x45167cf8, 0x92c6e02a, 0x0335a418,
+    0x4b4fe9fe, 0xcdafae0d, 0x61f62f45, 0xe2e53114, 0xcbce8905, 0x93e6f6ba, 0x9d786fcd, 0xaa91bcb6,
+    0xdcb497ba, 0xe842783b, 0xe0cabd1d, 0x30299fcd, 0xf4823a63, 0xa2f1a7a3, 0x5576aad8, 0x95ca12fd,
+    0xc5d1158b, 0x9b4a53e6, 0x39f7ea10, 0x42f5443c, 0x347c90d9, 0xbb78d5c8, 0x515e57fe, 0xfb697d81,
+    0xe64bd7ff, 0xfc869762, 0x61f3a459, 0x5c3ba96c, 0x3c98161c, 0x2b5fea65, 0xeb21d1c2, 0xc6422ddb,
+    0x2d854b9d, 0x0ef637fd, 0xd82f34cd, 0xcdba90c6, 0xe60b39ef, 0xa98eafd1, 0xf1581b73, 0x74e869b8,
+    0xa3914fd8, 0xa9f8ac64, 0x4a715377, 0xba9191aa, 0x646c6d3d, 0x6bf3173c, 0x888067cb, 0xfd0cbab4,
+    0xdbe6fbd3, 0x0bb4dc89, 0xf6be9538, 0x039f2e33, 0x3e8e29a1, 0x5e12334d, 0xaf0c6220, 0x7adcafaa,
+    0x1ee98c15, 0x11011de4, 0xb13bbc23, 0x0de4b8c6, 0xfa2fa761, 0x9d000bec, 0x5ecf5f6c, 0x1f2170ae,
+    0xb6c06b52, 0x10cb0a00, 0x73a9fb49, 0x09bf6a88, 0xea200c67, 0x3a74ab33, 0xad5dfc9b, 0x9e2d6e89,
+    0x00403854, 0x61d3809c, 0xe544cd6d, 0x945ae3b4, 0xb5193640, 0x422bdcf0, 0xccf0189e, 0xe9d9ada3,
+    0x3aaf84cc, 0x6a29af09, 0x3fcde97b, 0x03de2d44, 0x564ba057, 0xb5dc6991, 0x04990edd, 0xbfa64b83,
+    0x88a750e0, 0xe6fd02aa, 0xe40017b4, 0xb305fe08, 0x46365115, 0x89f3cce4, 0x9bdea4fe, 0x64242c7c,
+    0x57c9bc1a, 0x44825293, 0x86cdf9f2, 0xc2bfcf98, 0xcd9acc7e, 0x747f2a53, 0xaa78b1e8, 0x93066cfb,
+    0xdae51fd1, 0xc16be149, 0x5bc8b0de, 0x611331a1, 0xce4de85e, 0xe49ae418, 0x83f0cbcc, 0x4b1a01cf,
+    0xc5fd07e1, 0xd64f34df, 0x2db3e95f, 0x905c4b75, 0xa6925f62, 0x8691c1ca, 0xdd5c12c7, 0xe690ca48,
+    0xfc054499, 0x617273f4, 0x15a257d0, 0xf57935b3, 0xac158e83, 0x61ea5dac, 0x82c29549, 0x0af2b503,
+    0xa54e6d79, 0x4a7a898a, 0x353e4411, 0xd42da3dd, 0xc022a2b7, 0xf5c1a95c, 0x8e25743a, 0x8cfe171a,
+    0x7f1f9103, 0x86cf77c9, 0x0b64a304, 0x07091a3b, 0x932500a4, 0x2cefac4a, 0x3d07efb6, 0x8a3ba066,
+    0x19d15d31, 0xcfa0bc93, 0x9034eb2a, 0xc10ad7a4, 0xb43aa442, 0x30bc9ab1, 0x7e852395, 0xf0313e64,
+    0xe77db6ca, 0x21624481, 0x24a1f209, 0x1f9aa691, 0x06f2dead, 0x2ebb0e4f, 0x3157da56, 0x1a0deb25,
+    0x06893273, 0x9333219c, 0x58466c1a, 0x8029ed92, 0x1fd06461, 0x58735f4c, 0x2171f562, 0x6c293a0b,
+    0xecbff1e4, 0x1f25750f, 0xb3b9dbb7, 0xe80ac2f7, 0x5e94cbdc, 0x64199942, 0xc01ccc29, 0x07db6f73,
+    0x55ebcb98, 0xd4ed0eec, 0x3079653d, 0x74b58bc5, 0x814c7075, 0x2ed5ecf8, 0xc7c8fdb2, 0x3b8c943e,
+    0x6c245095, 0xf85f35f0, 0xaf80050d, 0xffbcbf04, 0x954ebb48, 0xe41ea8c3, 0x83d7d5b7, 0x02c92535,
+    0x235238aa, 0x77d5a24a, 0x2accca84, 0x2e747489, 0xb7fd56ea, 0x78ee5bbf, 0xab1b98ca, 0x359bec9a,
+    0x4203c063, 0x64789726, 0x0f7db876, 0xe95de901, 0x3bdab37a, 0x397b90ae, 0x3c86fe51, 0x67416639,
+    0xb6d089fa, 0x3611e009, 0x3aadd225, 0x03286292, 0xf635101a, 0xab5dc01d, 0xe41b69ac, 0x9d7bfa00,
+    0xa9944d56, 0x93eb3c89, 0x493ef8e4, 0xd2c96798, 0xbbe842f8, 0xc73957b5, 0x3f3ebc45, 0x5fc90def,
+    0xbdfd3f84, 0x130a0de5, 0x01034440, 0x0ba0b684, 0x2aa820c9, 0x3617479b, 0xd0e7e3f9, 0x2f306bc9,
+    0x68471ad6, 0x33807383, 0xac5163c7, 0xbcac73c7, 0xf0daf8db, 0x7ca569b1, 0x71f1b7b9, 0xe6bf6e1f,
+    0x3ee93233, 0x40732ed9, 0x4b09b965, 0xd3ab726a, 0x307da300, 0x1acd32c7, 0xb2e08257, 0x5e8438c6,
+    0x6da9dc78, 0x16071031, 0x2c0f8d3a, 0x5f2a8188, 0xe6107dce, 0x997d7bdc, 0xac3416d4, 0x9fd26866,
+    0xe936eaff, 0xdbf6798f, 0xc73c1b8f, 0xdca42f14, 0x80da46f4, 0xd3d07ceb, 0xee34408f, 0xa5f6f720,
+    0x32867cf8, 0xae0343a5, 0x47e6e15f, 0x945888bc, 0x2f9c49e2, 0x2c598fd9, 0x8d148052, 0xf4809544,
+    0x345fe809, 0x221cc31a, 0x14265665, 0x81d436b1, 0xcb36d841, 0x6a99bf2b, 0x9a5c9be3, 0x12b7245f,
+    0x85f565d1, 0x9cdbf0ac, 0x5368a907, 0x816788a5, 0x32571931, 0x704cecb1, 0x72819327, 0x77c56d56,
+    0x89bb65e4, 0x9a35652b, 0x50caa56f, 0xc2ef4a71, 0xb6bfa823, 0x1f68556c, 0x57602090, 0xe886a3b3,
+    0x72bc84ad, 0x1249d9cb, 0xbb5ba076, 0xf276e1c7, 0xae716143, 0x7072edac, 0xadeb21d3, 0xa85444d6,
+    0x147f9535, 0x4450089e, 0x17063374, 0x252752cf, 0x4d61b5bb, 0xcccbbda9, 0x03c46977, 0x582e300e,
+    0x9aea1417, 0xcb4234f3, 0x18474002, 0x37a28c55, 0xef14d487, 0x6b811ec8, 0x54357338, 0xbb65ba35,
+    0xb60ed994, 0x01ee2882, 0x6ffb0d71, 0x36d5f7c8, 0xffc64ac9, 0xffa212a9, 0xe426b71d, 0x2013edc5,
+    0x5179ff6c, 0x9dca13dc, 0xe7a3e1a2, 0xe4a8cc94, 0x8631fc75, 0xb3f29514, 0xe0f0cbb6, 0xaf22fe48,
+    0xbd53c951, 0x3306e000, 0x408a61b4, 0x85a8502d, 0xa8e68294, 0x8a09421e, 0x92ac587f, 0xad23263a,
+    0xa34fe937, 0x6bd1702d, 0x7d096412, 0x8d28fe2e, 0x102a649c, 0x2245d8c1, 0x256d0489, 0x451daa3c,
+    0x5f775783, 0x21040412, 0x4b609a5a, 0xe673ced7, 0x1f8cd946, 0xa254d97c, 0xed1c007a, 0x3b1086ea,
+    0xd44797dd, 0xfccbf2ff, 0x40585d26, 0x5498d9fe, 0x1192c4b6, 0xd63dbfa2, 0x5ec3de45, 0xe8b77a80,
+    0x43ae5877, 0x3441aabe, 0x6ee9e9af, 0x743644a0, 0xec3641c1, 0xbd1da388, 0x8eadaafe, 0x8e20ef8c,
+    0x0b568f72, 0xb7159109, 0x73f45098, 0x47f98bfa, 0xbb0c516b, 0x9ffe6d77, 0x3550dded, 0x3ed222e5,
+    0x48376419, 0xf185b4b5, 0x94a0f761, 0x462e5b85, 0x5bad2c5c, 0x26882461, 0x04a23ffc, 0x41b00b3c,
+    0x15cff61f, 0x0997cef0, 0x18fc114a, 0xee7386b2, 0x448ea5ff, 0x1d8adea5, 0xa2af7310, 0xd5f9f583,
+    0x92ae8b1e, 0x165abca3, 0xe79eb623, 0xbf2d6619, 0xd8951d82, 0x1f0b33e0, 0x9aec6308, 0x62db5ef5,
+    0xa87831b8, 0xb9092085, 0x68231bdb, 0xd252fd60, 0x02ee5b71, 0x88334f4a, 0xd2d4cb60, 0xba505da4,
+    0xd0c0b12b, 0x3f0faee3, 0x79ba7a44, 0x488261e2, 0x3ac10919, 0x81e02506, 0x6419fb52, 0x649ea10b,
+    0x32d187cf, 0xed6d2570, 0xb0b71675, 0xf71bc3b7, 0x104ea0b0, 0x334244d5, 0x664e1637, 0x161fcd59,
+    0x6d2ded83, 0x5beb76d5, 0xff5e164d, 0x767fb98a, 0x3cad4353, 0x8d2085fb, 0x9259d9c2, 0xb0e352ce,
+    0x3fcff81d, 0x98514945, 0x7d82b423, 0xeba50a79, 0x7b15a844, 0x7a2aa9e1, 0x21fee011, 0x78522200,
+    0xe245a7b9, 0xb199f4a3, 0xd35c20e3, 0xc9a004bd, 0x72dae162, 0x24f10379, 0x5ec2133e, 0xb65cf8ab,
+    0x36191bc7, 0xca176fc5, 0x9d3aa6fb, 0x72cbc6ba, 0x2db8de97, 0xb32c3b82, 0x11c07c96, 0x63b55686,
+    0x9b73da2f, 0xac83e5d8, 0xf739c72b, 0xc75cb484, 0x2c4219c3, 0x9ebf5b36, 0x44e3933b, 0x0f41102d,
+    0x58c913e4, 0xb1b49d87, 0x6271bbb0, 0x7ab185ee, 0x00285abb, 0xd2fcc0b2, 0xf5a98b8c, 0x12f3770e,
+    0x1abb0ea7, 0x1e32a2c0, 0x0a471236, 0x2045ba76, 0xf07fc925, 0x97032648, 0xf949e895, 0x9b6e6f75,
+    0x71280312, 0x1eaf329a, 0xb80c6c58, 0xadcdfc97, 0x3d50f447, 0x2824301d, 0x570b6460, 0x14df5e79,
+    0x69e6f1d2, 0xfc79fa7b, 0x718769a7, 0x95a48424, 0x02c37321, 0x08535b65, 0x32d0015e, 0xa152974f,
+    0xc98006f6, 0x75b72def, 0x4387ea06, 0x4da16644, 0x32ce9830, 0x8751f787, 0x22af39e4, 0xf0255cc6,
+    0x52691eae, 0xf6f14925, 0xfdee83cc, 0xf397702a, 0xe872f4f5, 0xbc36c07a, 0x30530bca, 0xa65a06c4,
+    0x3d2aeca8, 0x9c1a72d2, 0x55608b76, 0x77903faf, 0xeed85d06, 0xaeab8478, 0x695f59ca, 0x53d5fbab,
+    0x83589787, 0x72486d1c, 0xc397d7a4, 0x4a774c6e, 0x3ed209c5, 0xa0883eb5, 0x310bd808, 0xb8cc89bc,
+    0xade51097, 0x2b69357c, 0x29904f39, 0x7ba81a05, 0xaf458b0c, 0x86ac1055, 0x5dc669bf, 0xd8efe92b,
+    0xe909ac4f, 0x22e1a343, 0xb7d54e1f, 0x5d6c7e9d, 0xd1125989, 0xad75f72c, 0x0ccd21ce, 0x60a47e71,
+    0x12b8a91a, 0xa06758fa, 0x94d199f2, 0x9ee6786b, 0xe3453a2a, 0x85f08c9b, 0xac0e9601, 0xa505b9d7,
+    0x81af4339, 0x9c468c00, 0xc011b323, 0xdd78724a, 0x6671cc90, 0xe5dc1cbd, 0xa2ad22cc, 0xaf9a8826,
+    0x88ef25a4, 0x2a9fe485, 0x5f66ed1c, 0x91a86709, 0x80e27ae4, 0x66af2654, 0xb5e2df68, 0xc067e214,
+    0xd39caf42, 0x317e4eef, 0x7e1bc450, 0xf0117d02, 0x5942cea9, 0xa3426e5c, 0xeab7f6f1, 0x31bc2019,
+    0x627c1acf, 0x7177cd09, 0x00e6d3de, 0x863b8a35, 0xcad816f8, 0x986dc9b1, 0xca25fcae, 0xb0163389,
+    0x1851a6fe, 0x1d448f3f, 0x4c82310e, 0xda6b302c, 0xc92e406a, 0x7bb7e43b, 0xa96e9f80, 0xb70ce995,
+    0x55d6112d, 0x278d95c0, 0x3142b9d9, 0x9ba5fd5c, 0xf40cf75d, 0xaccd2af2, 0xd2f0cd49, 0xb111f600,
+    0x2a999a98, 0x46e1f458, 0x31c31f43, 0xff1b1734, 0xd4e9911a, 0x3fd3397c, 0x08909784, 0xb55be900,
+    0x5332ae5b, 0xc8a861a5, 0x38df35c2, 0x81563632, 0xafb364cb, 0x9cf633b0, 0xfe92094b, 0xf68b3ace,
+    0xf7aa9485, 0xd1270041, 0x0170d033, 0x3d035ec9, 0x9742d7ae, 0xfbe61c64, 0xb0f3600a, 0x570bc8d5,
+    0x37bc0e97, 0x0b89152f, 0x5ff68cb0, 0xf6975de7, 0x2628bb1b, 0xbbccad98, 0x5c4faa1c, 0xf6defd6a,
+    0xaab8b8f5, 0x8177deef, 0xca20fa09, 0x0c7c75e7, 0x7afffac3, 0x1086ad59, 0x77c89b19, 0xa6326a4e,
+    0x77feccee, 0x9c9d0e74, 0x1922520e, 0xb5d9b7f4, 0x272dda72, 0xab698808, 0x6bc7224c, 0x63bb981a,
+    0x224ecb36, 0xf268fcc8, 0x164bad67, 0x824ef15f, 0xf6419206, 0x261a7a2c, 0x9fbe6e25, 0x9304495b,
+    0x00000000,
+    0x173c2ce7, 0x8db56404, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e,
+    0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000002\
+                         31584178474632390847141970017375815706539969331281128078915168015826259279872 */
+  { 0x00000000,
+    0x792f488d, 0x1c244a87, 0xb9212725, 0x0cdeaf57, 0x566def54, 0xbfd4f894, 0xeabd1301, 0x50c45718,
+    0xcb9f9b2d, 0xf270fd8f, 0x344974c9, 0xd5f45a14, 0xd5d21234, 0x7afa68b8, 0xe65274df, 0x9f21fbc1,
+    0xe1aa6a50, 0x4ed59a56, 0x706ff481, 0xd68939a6, 0xd9e64115, 0x4fd3592c, 0xd9244e88, 0xa5fd1869,
+    0x5ef826ce, 0x3c7fb4f0, 0x83ce79ff, 0x2669a062, 0x229cd15b, 0xb4c499e7, 0x0a8a485a, 0xa283cc65,
+    0xfb94b05e, 0x8db43dec, 0x82bb92eb, 0x20c33c68, 0xe4ca97a3, 0xa4c95fcf, 0x9ba9fdc9, 0x0545d6e2,
+    0x2e2d685d, 0x4d44e19e, 0x4fd3192e, 0x76dc7e6b, 0xca72208d, 0x15d87d96, 0x7eebdce8, 0x426e02ab,
+    0x71da17ed, 0x67e23001, 0x2b85b76c, 0x61dae22f, 0x98d8aacf, 0xe6491cb1, 0xaab2a6ac, 0x41773fb2,
+    0x710918ad, 0xb640ef85, 0xa6814c62, 0xf594f7ad, 0x93981ebc, 0x928d553f, 0x994a4c1b, 0x837b7a21,
+    0xfd7fedf4, 0x37f6c609, 0xab19e57e, 0x1cc2f4eb, 0xb86c1294, 0xcbf915b0, 0xe64eadfc, 0xca0bacb0,
+    0xb81153d3, 0x12824826, 0xf123d192, 0xe4c58344, 0x8c9219d9, 0x35060d2e, 0xb13b23c5, 0xc2a02ded,
+    0x90749e9b, 0x1df8d92e, 0x45c89f18, 0xf4fa308d, 0xd8e4aa3a, 0xba393dcb, 0xc5d289ca, 0x3eaa896e,
+    0xae14ae69, 0xb97896e3, 0xc225142d, 0xc1d235a1, 0xd073c98d, 0x0c53d1cd, 0x4f1a1d5f, 0xe273c7af,
+    0x133aeedd, 0xb418fb29, 0xd905aded, 0x04ac70f7, 0x4656eb53, 0x9b69a625, 0xa6b46fd7, 0x368a9bec,
+    0x3d4bce66, 0x1fd22f38, 0x794a90af, 0x041ff992, 0x7e6af8f7, 0x35353ce3, 0x4c848564, 0xf0069b1c,
+    0xeaf10f7b, 0x0d98feb6, 0xffa7b301, 0xeb1c77f7, 0x309bcff9, 0x3bcda128, 0x1726a957, 0x0da2f922,
+    0x5f872873, 0x4c1a7d02, 0xc3bd6f85, 0xc71de5a3, 0x983b2db3, 0xa72b2c5f, 0x15089c6c, 0x230c0641,
+    0xbfc7d3f3, 0x6b4590d7, 0xa7544293, 0xacf4dfdb, 0x025c098c, 0xc2fb5e79, 0xba4ecb3a, 0x2e5c6a50,
+    0xa64787fd, 0x4ad629d5, 0xf8ebf46b, 0xbc0f9d10, 0x22df32a5, 0xb6ce7217, 0xb0bceb00, 0x33792f3b,
+    0x77eae11e, 0xc7c61dbd, 0x82554f3b, 0x6a5d05f3, 0xa848c229, 0x92fdcdd5, 0x0fb56719, 0x3b979a3d,
+    0xf6aa7b84, 0x2c6fb53f, 0xe7049d66, 0xf349d573, 0xe91fef05, 0x8ea8dfdb, 0x67c4caf5, 0x44787007,
+    0x628b7786, 0x534d7c1d, 0xf4aa05a5, 0x2e714c36, 0x61a99526, 0x70bc9337, 0xf149ba3b, 0xcd1461c7,
+    0xecb49f1d, 0x1bea08df, 0x514dfe58, 0x9e30d346, 0xa5eac5fc, 0x76ba3c7e, 0x9ecbe370, 0xa93899fb,
+    0xdf8795bb, 0xa5dfde3e, 0x61df0f03, 0x80caf35e, 0x1ef77c2e, 0x5d12c799, 0x02557a80, 0xd1ca7660,
+    0xb4486f63, 0x7d10c976, 0x2a405c94, 0x5cb69a10, 0x048c1f57, 0x2554c304, 0x308aa4eb, 0x0b23d247,
+    0x78642efa, 0x5c731e0b, 0x26ddffb4, 0xa76020ec, 0x4079316a, 0x321b0525, 0x0b109c52, 0x2ba9c6d6,
+    0xa95babe2, 0x6745e671, 0x17157f0f, 0x75bc68c0, 0x43fceba4, 0x4e21842a, 0x601c4c0b, 0x242aba78,
+    0x4400e0df, 0x62d0af56, 0x43b40fab, 0x0f7a3839, 0x8a83037b, 0x46043b7c, 0xe74c97da, 0x09356348,
+    0x6f8230bc, 0xb89863d8, 0x8637f326, 0xb1d6ba7c, 0x9fbd2e3e, 0xf39aca19, 0x5a3ad045, 0x5b400c1d,
+    0x3658c0fd, 0x831cfdbe, 0xe0cb0641, 0x56d18404, 0xb44caeac, 0x9340e28e, 0x4fcba59f, 0x1965fd8d,
+    0x72ece588, 0x53ed074f, 0x5bb4b90d, 0x7e0d969b, 0x2e38662d, 0x453ecfa4, 0xea944294, 0xa64e2446,
+    0xf3a30ee0, 0x51991fb7, 0xea83bac0, 0x62eb352f, 0x9a8a2b05, 0x6019ab3e, 0x6e315ab2, 0x068ef86f,
+    0xb2cf5eac, 0x713402f8, 0x43a1d329, 0xaec83dce, 0x47bbef69, 0xe431c840, 0x1e57a63a, 0xa362bc62,
+    0xf85c6344, 0x4d6b502f, 0x96b48725, 0xb74a3b57, 0x17abde61, 0x30db429d, 0xa21856a4, 0x9452ce8d,
+    0x818c264a, 0xc4c3fc8c, 0x4034a16e, 0x48e1cf0a, 0xe3bd818f, 0x53c0a42f, 0x28471867, 0x18d8a467,
+    0x72acc832, 0xe67167a8, 0xdbe1a75a, 0x2789307b, 0x3a35f5ec, 0x1512a8c9, 0x1ec9f8b7, 0x8c3cd9b2,
+    0x5bd11c1d, 0x3041966d, 0x4f252464, 0x832f8d9e, 0x8abd7722, 0xbc2e0b38, 0xdf55e0ed, 0x6e8def5d,
+    0xbd3557d7, 0x773918b5, 0x1b5d7632, 0x069f45fd, 0xa7a373a0, 0x5937bf13, 0xc47b50b5, 0x05be9df2,
+    0x07573477, 0x9d62dc2a, 0x1d4e7ebb, 0x6fff8ea5, 0x42e05eda, 0xf3756c0d, 0x664691c8, 0x436a17b0,
+    0x76f830e3, 0x82ab08a5, 0x55d4d182, 0xa79ca8dd, 0x34f2f98f, 0x1d25d056, 0xf646d90a, 0x1f519c9c,
+    0x8fed95ec, 0xb9975866, 0x7fccc829, 0xcdfc2ae6, 0xa362981c, 0x70b2d369, 0xfe00abb3, 0x1b6e955b,
+    0x5136278f, 0x8c21fdb0, 0xf652ce83, 0xb88ab3c1, 0x0df8a3d0, 0xc4417a50, 0x4834042b, 0x10694640,
+    0xeb013df7, 0x38d66210, 0x4ea82a60, 0xd0b5f13c, 0x11532e8a, 0xe6cd72b2, 0xef9371d6, 0x6ce187f7,
+    0x7d5797a9, 0x678763ff, 0x1b3a74b5, 0x26f26d85, 0xf8696500, 0x5014c29e, 0x26e5b84a, 0x22c965fb,
+    0xf43c2577, 0x11b285b3, 0x4e1044b0, 0x851048e2, 0x9af57d1e, 0x70f97e09, 0x3627f2db, 0x9babb5cd,
+    0xc685ca3f, 0x6da96906, 0x3e3f1f7f, 0xa1587f82, 0x2a8244f7, 0x71decf87, 0xfb3e8a46, 0xb9193705,
+    0x6c537e16, 0x51380304, 0xc394ce0c, 0x2a91cfe9, 0xc1457db7, 0xf68a993b, 0xba1fe904, 0x2c6be355,
+    0x38d270ff, 0x5c1088b4, 0x46e3511c, 0x87bad2e8, 0xb8266271, 0x7dc15408, 0x46d41b52, 0x0f9f0580,
+    0xdc7eab44, 0xbbeb1e04, 0xab2ce656, 0xf40865e4, 0x34efe161, 0xf6535815, 0xd9dc3895, 0x17b16bd0,
+    0xa1a2eb54, 0x7ec4cbf5, 0xde4a207e, 0x5dbedec6, 0x6f817b58, 0x606f0d4f, 0xa692b152, 0x1c9bd7ec,
+    0xa2dc6b7e, 0x625cbdd6, 0xda172285, 0x2520a08d, 0x1da44e0f, 0x3279ffca, 0x438604fd, 0x9639ab62,
+    0xaec3dae2, 0x0b0178a8, 0x0cb1b116, 0x3fa57d70, 0x376e0153, 0x81cdf083, 0x8dd2622e, 0x79bf1690,
+    0x314a1692, 0xcfc5b329, 0xbba006b7, 0x80bcd24c, 0xce33ffdd, 0xd71ed7dc, 0x819f47df, 0x26485f6a,
+    0x597bbd65, 0x4a215dfa, 0x680654f0, 0x84ddab4a, 0x11be4467, 0x37dd8225, 0x3723e4d5, 0xebcb8f16,
+    0xca239366, 0x42636f04, 0xe90bae17, 0x18f2f35f, 0x47cfceb2, 0xe665285a, 0x814b681a, 0xf4c5bf1e,
+    0xe6bbf4de, 0x2833914b, 0xfb771018, 0xbf77dc66, 0xac7c28f6, 0xa07305d4, 0xa2af1afd, 0xeb361ff6,
+    0xbf1ce0c0, 0xeafc7c49, 0x3fdf3d6a, 0x7fe1a3e8, 0xa012e209, 0x43320ef7, 0xad7d40a8, 0x291d7035,
+    0xf787ecef, 0x4a8e3134, 0x45f44df9, 0x76c90c7a, 0xa06aa463, 0xbdb0e68e, 0x2e010d57, 0x66d5a4b8,
+    0x03575618, 0xa9485528, 0xc3b16a07, 0x860a0a8e, 0x04d868f4, 0x555e4b84, 0xcc900d78, 0xee12b595,
+    0x2898ac58, 0xf47e026a, 0xdfd9a43b, 0x418dc4c3, 0x18b3c20d, 0x9b1e9dd3, 0x41098661, 0x969cceb2,
+    0xf0e00ed6, 0x63f4e55d, 0x98db2688, 0x9369a5d9, 0x3aa569e9, 0xa1ec0212, 0xac3eaff9, 0xda88040f,
+    0x445784be, 0xf1e170e7, 0x75b02f8b, 0xe7b4fa1a, 0x13e71aa1, 0x8f6909ed, 0xb9e1a06d, 0x08be3998,
+    0x8721fdec, 0xcd120117, 0x0cc281d3, 0x57069da9, 0x619c796f, 0xb5884b95, 0xa22c295a, 0x75061f16,
+    0xa215004a, 0x23f00df1, 0xb17d3fb3, 0x8f0b266b, 0xf3136582, 0xb46f3a45, 0x29824707, 0xea9ba750,
+    0x2e18e532, 0x2028c00d, 0xd232a3fe, 0x14fdffc6, 0x4412426e, 0xfc1a7a95, 0xe2a12073, 0x2c042246,
+    0x98d654d2, 0x0ff3d16f, 0xa9822e39, 0xd12124b2, 0x910244ea, 0x6a7532d7, 0x1234ea47, 0xeb8f2d2c,
+    0x6f08f953, 0x71422657, 0x3d4ae309, 0x6871ea5a, 0xac577889, 0x5ca99880, 0x78e247b0, 0xecb44184,
+    0x362e4ad4, 0xa4801c3f, 0xe211fcd9, 0x6c8176ca, 0x9a4f6624, 0x8330243f, 0x05eba216, 0xc619f7b9,
+    0xd8a48f9b, 0xcc423f0e, 0x37c3662a, 0xd1f03130, 0x2f677bd7, 0xb3421fb9, 0x4206bbdc, 0x61618def,
+    0xf1733bf4, 0x7758242a, 0x9ac56a6c, 0x4e29e62c, 0x1dab4e03, 0xa206bb47, 0xdc0dc819, 0x800cdb6f,
+    0xea369091, 0xf4794a67, 0x6bdf4530, 0xa29e63a0, 0x4c01dc2f, 0x76543ec8, 0x16520519, 0xfbb1d472,
+    0x829a097e, 0x2ba68ec2, 0xc6f2bcea, 0xd8605fc3, 0x563cf378, 0x91ca898f, 0x59f09091, 0x6211e112,
+    0x97293297, 0xb921ee88, 0xc6f5cbb0, 0x125c5019, 0xfb0c43c1, 0xe84d9bc4, 0xdb17858c, 0xfc7c5b65,
+    0x03931157, 0x8b33b757, 0xe868d27b, 0x2b13af86, 0x53ce5a54, 0x11480d0c, 0xd8475be2, 0xa7c4ac51,
+    0x031fe71f, 0x4d83c812, 0x3b24db2f, 0x553339e3, 0xdf29ec24, 0xa6ddca17, 0xfc5a701b, 0xc4fb5f9b,
+    0xee36d35d, 0xd91d24e4, 0xbf256f16, 0x5ed4baa5, 0xe6e536dc, 0x231e49f5, 0x71c576f9, 0xf26fbf3c,
+    0x18b1d4fd, 0x9daba140, 0x2b29167a, 0x7cbf74f9, 0x41410167, 0x6aa219ec, 0x49d73f08, 0x1e30d432,
+    0xc03a9775, 0x4cc2d20a, 0x0384c6c3, 0x408a1bfc, 0x17daf8ba, 0x7630ba19, 0xd8edc3f1, 0x272139f3,
+    0xd73246b6, 0x4c2edfc4, 0x44b0578c, 0x5d84586b, 0x4aebc11b, 0xccbcb1c3, 0xbcd8c868, 0x57e5fa73,
+    0x48c1d205, 0xcad808a1, 0x9e382f5c, 0xb7ace974, 0x51eb3bc8, 0xb812fcf7, 0x34ec41d2, 0x4f02dd8c,
+    0xd1962593, 0x63f632c9, 0xd7b2d161, 0x812150fc, 0xe1e8771d, 0x8e358eee, 0x3f270ec6, 0xa8015eb3,
+    0xf6b4d05b, 0x8f5f076c, 0x90ab99ef, 0xd90aa61e, 0x86f69bdf, 0x7294d991, 0xc6c29a9e, 0x9d70ed5d,
+    0x5b4497bc, 0xce976193, 0x371ee4ae, 0x7b17f788, 0x07f9e9b0, 0x126b0f71, 0xee0cf3e8, 0x99db5194,
+    0xee69d8aa, 0x47b512df, 0xd216ffc8, 0x42da9491, 0x06f07793, 0x26b57580, 0x6641b521, 0xff72a704,
+    0x2513b21f, 0x374dab3f, 0x47f0c9c4, 0x65cb412d, 0xf2c766ff, 0x37b27843, 0xe9d7e71b, 0x7b21df27,
+    0xc7a34e28, 0x0343a31c, 0x3992b68c, 0x1fbd8360, 0x7c1a4c8c, 0xd65e5444, 0x50eac117, 0xf9035030,
+    0x18d8b390, 0x732ddbc4, 0x8d47f4ee, 0xf1b31c5a, 0xce9c35a2, 0xe8fa7700, 0x775bcd14, 0x3e70ef44,
+    0x193aff75, 0x8ae5ecb3, 0xe3129b81, 0x390b0a9a, 0x2861537c, 0xecfaaa81, 0xd94557c9, 0x9e4cfd16,
+    0xafbe037c, 0x7b45ac44, 0xb60f2c85, 0x7b3e94e1, 0xd531edb5, 0x93328a2f, 0xbd20a36c, 0xe4705b01,
+    0x8bf880f5, 0xf7d250b9, 0x5a3afd52, 0xb83e791a, 0xff7cc88e, 0x4aeee81e, 0xdd8512eb, 0x87dccc7b,
+    0xd84337e4, 0xa812b265, 0xc079f105, 0xe64d8eb3, 0xd07be121, 0x9de704fd, 0x84ee286d, 0x6331fb44,
+    0x422c7257, 0x6368029b, 0x4567cf22, 0x225a1192, 0x14efc34b, 0xebde9773, 0x227be9c9, 0xf977ee3e,
+    0xc45a88f6, 0x041a3640, 0x18260f32, 0x0f88c82c, 0xb3e2f66f, 0x2a90650a, 0x36975b88, 0xc17c6857,
+    0x8f7a05ec, 0xb7bc9299, 0x3e191485, 0x6bda2814, 0xca71ebd5, 0x83de8a67, 0xf3c657ee, 0x506706dd,
+    0x5ffe41ea, 0xc23166ec, 0xbc5a175d, 0x09d78b54, 0xcb1cbed0, 0x8d060adc, 0xbb5e5285, 0xaaeb5b76,
+    0x1290d94c, 0xaa355e5c, 0xc3f53884, 0xe2992858, 0xaf359fa3, 0x79d2d2e6, 0xffb2ee1a, 0x690be26e,
+    0x31879f34, 0x1db85ebe, 0x5bf4082a, 0x8b633edb, 0x190c2f74, 0x1ca2b9f2, 0xf50a7880, 0xe569eaf5,
+    0xbaa488fd, 0xefe57f0e, 0xe1cd8646, 0xf4d82f87, 0x1c7eaa91, 0xdb17732e, 0xdb2fb5da, 0xdb00462a,
+    0x71d904ff, 0x42bc81bd, 0x0594f5c3, 0x45a9e4aa, 0x775fa13a, 0x8ce7b163, 0x590884d9, 0x4d3e871c,
+    0x14b3204e, 0x9a1f2683, 0x06e2740e, 0x0856bd41, 0x3a44681c, 0x2a96ab84, 0x92dd7285, 0x458e62b8,
+    0xfc358c0f, 0xfa8ef5fc, 0xa49a577b, 0x7880ba89, 0x14a858c9, 0x1dbd6aa7, 0xc3cb67f7, 0x85f1022c,
+    0xc380c112, 0x4f035a1d, 0xf378368a, 0x3a95cca3, 0x0c529aa2, 0xf4463530, 0x204a3a54, 0x6698d8cd,
+    0xc643ae35, 0xa3489386, 0x73c29b56, 0x9db746a6, 0xf8f003cb, 0x4400b27f, 0x87c83a66, 0xf0793bf9,
+    0x4f94bd1a, 0x0e4f6b43, 0x076421e2, 0xa5de5afa, 0x6b07c2b0, 0xd2d9a87b, 0xadea55a6, 0x389a69f9,
+    0x87ec4dcb, 0x724a3de4, 0xd40cb563, 0x7e80b053, 0xb1b05bdf, 0xc3bbc710, 0xcf0eec53, 0xad65bbdd,
+    0xcc1d6720, 0x83e9b290, 0x9ab7d2f0, 0x906a7e93, 0x262be75e, 0x614ef624, 0x6fcbb449, 0x6aeda097,
+    0x30df7bcd, 0x110edf35, 0xf33d81f0, 0x6d6eac80, 0x79a1c1dd, 0x2acbf8a1, 0x1f63992e, 0xef97c71c,
+    0xae1aa8db, 0x143d8e74, 0x5cda3319, 0x49be72b1, 0x7c35836c, 0x27810fbd, 0x1b72f5b4, 0xf9fc8cf0,
+    0xa7aa8833, 0x0cd41f7f, 0xe12377fc, 0x30d4ae94, 0x610f82e6, 0x870c0be8, 0x9a2ce621, 0x49657dc4,
+    0xa2ccefef, 0x7b12d700, 0x4e77fc11, 0xee7a23de, 0x2203e383, 0x4fd8721c, 0xcd56871a, 0xb6197297,
+    0x50b457f4, 0x031024f4, 0x7266a271, 0x81912dac, 0xac09d04e, 0x2402d44c, 0x57244e42, 0x86eb7ab9,
+    0x44529e92, 0xe1f8adb1, 0x7b9e3bbf, 0x134e5027, 0x14e3a634, 0xbf6e7028, 0x7368a4df, 0x7420864f,
+    0x156c8243, 0x8f710bd7, 0x4c6a57e9, 0xe4411329, 0xfd96437d, 0x3c7fcbd6, 0x00061ced, 0x00c735ba,
+    0x7509cada, 0xaf517f20, 0xcad6f58c, 0x1154528c, 0x13a869fe, 0x5422a5ca, 0xb1d12a37, 0x64650d7b,
+    0xf7d143fb, 0x8c12353e, 0x16cacc7c, 0x9c5ae48f, 0x628fa02e, 0xb7b575a9, 0x9e05a14e, 0x7e092381,
+    0xb02494fd, 0x868c539a, 0x308d6d7d, 0xa564b5a1, 0xff353742, 0x77263300, 0xc0d43419, 0xdec4d355,
+    0x91f2d0a4, 0x4ecc5158, 0xf21b8a43, 0xb35c1845, 0xa15e82b8, 0xbf7e4e1d, 0x3cd250f6, 0x96baf25a,
+    0xe190ff52, 0xb53db20d, 0xe91e9abc, 0x66bc4562, 0xf16688a1, 0x7ecc4688, 0xa32fecee, 0x6821be67,
+    0x7bf87ea5, 0x7556298c, 0x02ef7f39, 0xc06e1580, 0xd619c221, 0x645cb6d2, 0xdb8e12e9, 0xd005749b,
+    0xece5e937, 0xdb02c58b, 0x7a80c1c6, 0xab9c9460, 0xc0c502ae, 0x4691a9be, 0x58c616e7, 0x5bc6b285,
+    0x8ed34ee7, 0x335639ae, 0xe175f8c2, 0xbe7dbdd9, 0xe727d6c0, 0xce35f312, 0xb380f403, 0x01d2f37c,
+    0xb3ea0ee3, 0x27a62451, 0x0b243c03, 0xe4d13767, 0xcd22a028, 0x7a54adbd, 0xbf82d23d, 0x638e070c,
+    0x2b94ed55, 0x36b2db99, 0x9877a6a2, 0xb8871dd6, 0x5a4303f8, 0xd2093a1d, 0xc1e875d5, 0xab157d10,
+    0x6ac30743, 0xb85183d6, 0xf3aa45b2, 0x275de973, 0x86d4b2a4, 0xde60ad3b, 0xece302dd, 0x969b00d5,
+    0xabd1e200, 0xdc87f731, 0x70057476, 0x171efa03, 0x0493f793, 0x22442c95, 0x328ea29d, 0xa377ea1c,
+    0x6eaca369, 0x828e8c59, 0x3ef1f6a2, 0x13fa6aa7, 0xf64247b0, 0x1b502818, 0x39e475f3, 0x4c2004f1,
+    0x0ba5b524, 0x2755f2df, 0x04d1a6e0, 0xf02a9caa, 0xdb1ece3c, 0x2e151698, 0xe7b496c9, 0x892de286,
+    0x00000000,
+    0x0b9e1673, 0x46dab202, 0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f,
+    0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000001\
+                         15792089237316195423570985008687907853269984665640564039457584007913129639936 */
+  { 0x00000000,
+    0xf05f5660, 0x91516ec2, 0xc149025e, 0x3eb96a5a, 0x4f46b808, 0xb2d010b9, 0x44917692, 0x462040dd,
+    0x06725594, 0xf7fce5b7, 0x09bd5c0f, 0xe63bc893, 0x30dce677, 0x161eef28, 0x6d6a05a7, 0x37d4b0af,
+    0x5d161ccd, 0x6841a8a5, 0x953a568d, 0x2fc9b182, 0x8b3bd5bc, 0x0ec1037d, 0x0b7060b2, 0xc04fa496,
+    0x110953e4, 0x6f7359c9, 0x8812579e, 0x11ab363f, 0xf7c6471e, 0x318725df, 0xa7541283, 0x8389159f,
+    0x1d580502, 0xb2769445, 0xff6d5cee, 0x8dfb4e33, 0x1425eb13, 0x2c3465ba, 0x75adb8ed, 0x99999440,
+    0x6c38e30b, 0x82feab79, 0x21283766, 0xbd682be2, 0xd18ef4d7, 0x8285eaeb, 0x8560f35c, 0xe6535a6e,
+    0xb19d33d7, 0xdc55d1c3, 0x41fb7d68, 0x0c30e6ac, 0xfe209197, 0x8e705cf1, 0x39e2f71b, 0x8b1060b1,
+    0x7d206ac7, 0x58fceb3b, 0xcec44963, 0x5a386720, 0xb9e4e2cb, 0x92c7c4bc, 0xdc1af5e0, 0xea5da84c,
+    0x0e0ffa60, 0x715596d5, 0x97012ee4, 0xd39dbec1, 0x29ede004, 0x4733afc8, 0x5ee085f9, 0x3f319b3a,
+    0x5f73e4b2, 0x80debc54, 0x89dfbcaf, 0x134c43b9, 0xa2a87239, 0x2b0c8a1f, 0x10851993, 0x4a1580e9,
+    0x67121c1a, 0x28d080f9, 0xb204550f, 0xb60efe3c, 0xb78f36b4, 0x1524183c, 0x91136b9c, 0x3efad468,
+    0xef643d77, 0x1fd8b16e, 0xdd4f56a0, 0xac8b059b, 0x73e95bd3, 0x029c6a0a, 0xc75012a3, 0x90f5d1ea,
+    0x71c11c9b, 0x92a0bc88, 0x5024ac82, 0xe9ed3399, 0xf0afb22f, 0x7d382866, 0xfc581409, 0x6bbad18e,
+    0x74b23b95, 0x7b0aa757, 0x6eaa9d49, 0xcaca141c, 0x5f60d8c8, 0x6a14176e, 0xa7fa4f48, 0x5286cd62,
+    0x3c43f2ad, 0x7b8d84ca, 0x72ed43a5, 0xede927df, 0x11d57831, 0x6da04487, 0xb7704ab8, 0x3a4d8ebc,
+    0x7f3eca75, 0xdb945d19, 0x3e184c1e, 0x63518393, 0xdb30d6aa, 0x5d1027d7, 0x489d6b45, 0x3256e338,
+    0x5eb7fdb0, 0xd49cbd05, 0x93ebe3a6, 0xf3997717, 0xbe5d45fe, 0xdf825128, 0x42b380ba, 0x3510c36f,
+    0xab27d806, 0xaef36e79, 0xc3718b5d, 0xe287656b, 0x3a83c1aa, 0x04b74432, 0xe527167b, 0xc8e227ed,
+    0xa247598e, 0xaeb7de70, 0x95ef623e, 0x9578f882, 0x988b922e, 0x22f63b7e, 0x10c0381a, 0xc4489eac,
+    0x6193f62d, 0xa8b2b0e6, 0xded15e4e, 0x832ed910, 0x302331e1, 0x6a0df0ea, 0x07c6d054, 0xc01e92ac,
+    0xb1cb3d59, 0x3e1de3f9, 0x73f8574b, 0x7f4433db, 0x3269b399, 0x551824a7, 0x212c1a2a, 0x3d87f09d,
+    0xed869207, 0xb81fd16b, 0xfe84ce1b, 0xf3890dab, 0x50328c11, 0xc176b8af, 0xcf80aa3a, 0xee33abf2,
+    0xa0d81822, 0x81abaa5e, 0x29cc243f, 0x1b481406, 0x10e197b5, 0xe974cd0e, 0x7b3daa8b, 0xeff1c6f1,
+    0xc9617f1a, 0x97294d74, 0xa25f359d, 0x6d916295, 0x07d2210e, 0x8f56526b, 0xda56f0fa, 0x89710d75,
+    0x57aad5da, 0x145ab432, 0x010fde3c, 0x1c4944d6, 0x3a27235b, 0x94ab9a77, 0xc970fc53, 0x453fe1c1,
+    0x8a6d2fb5, 0x3a33e04c, 0x41c5552a, 0x517a5a35, 0x6a0a13f4, 0x267d65b2, 0x1baf1f42, 0x84545476,
+    0x04592c2e, 0x9886729c, 0x476bc5b0, 0x5e6fbd28, 0x68d4639f, 0x4c4ea7ea, 0x28a57b3a, 0xcc3eb48d,
+    0x05274d96, 0x18f856fc, 0x0ee029c7, 0xce579e6f, 0x02b766f9, 0x04a5e555, 0xe70d02f8, 0xd871923c,
+    0x77b50824, 0xa6e541f1, 0xd0daa3f0, 0xa26c5fac, 0x3b6bd74a, 0xb6f17730, 0x6f960302, 0x82151fb2,
+    0x11429f79, 0x84129836, 0x4b330c57, 0x09ac5469, 0x0f4e2e3f, 0x9c9a308e, 0x955eac49, 0xbf313b10,
+    0xcfbee3be, 0x26bc962a, 0x8dc0cb7f, 0xb9c8fdbc, 0xdd331450, 0xfc572841, 0x6291419d, 0xe22dcbe3,
+    0xa9aa775d, 0x430f513b, 0xf08a3930, 0x5770ba12, 0x9968fad6, 0x5c7e9655, 0x552ae9bb, 0x29f8a8de,
+    0x822b1aac, 0xf2118873, 0x533f8537, 0xfcc750ae, 0x7c75d803, 0xded1084e, 0x7eaa0b8d, 0xf41fd995,
+    0x723d779d, 0x977f6685, 0xe18510e9, 0xa860ece3, 0x22e8cecc, 0x21dca0d7, 0x8c160068, 0x3ff72a03,
+    0xdc508415, 0x0ea0424a, 0x1a53e33d, 0x5e9de07b, 0xe08553d7, 0xf6d18cd8, 0x0779e4b6, 0x1a220bd7,
+    0xf56b0d9d, 0xdf4b73dd, 0xf3cb7293, 0xb057eb18, 0x2c0deacc, 0x7ab69dfd, 0xbe7aa590, 0xa4c2cb0e,
+    0xc699eb6f, 0x5358bf3d, 0x18a5a9c0, 0x0e62602a, 0x7eb97ceb, 0x4396e451, 0x099d9627, 0x7fdd8504,
+    0x6e99b0ae, 0xd0d929df, 0xde1be6bb, 0x73cc6524, 0xf3ed5022, 0x94f6a8a1, 0xf6c417e9, 0x7a779c4a,
+    0xf2384539, 0xed801b42, 0xeb821376, 0x36198148, 0x46ac204a, 0x18c30939, 0xc1c5703c, 0x81c9498f,
+    0x978eeb68, 0x4e58a91d, 0x7a5e59f4, 0xeac9ee7c, 0xc27d7fe3, 0xddcf3262, 0x5d60e55b, 0x32743506,
+    0x3a67823f, 0xc14c33f6, 0x29d9e621, 0x5866418a, 0xc347eb66, 0x56bd3aa0, 0x39a0b928, 0x22e0b025,
+    0x7b30708a, 0x02cf136a, 0x7de10ee9, 0xb1b124cc, 0x7853403d, 0xb142065c, 0x4318206b, 0xadc09ef1,
+    0x1479d114, 0xf26e8ef2, 0x57474fbd, 0x5c80e008, 0xd23ef181, 0x9397025f, 0x9f0823fa, 0x96eac7bb,
+    0xd2d82c7f, 0x26dc7ebc, 0x5472d4e6, 0xa3665d0a, 0x8ad383b9, 0x030b818f, 0x91707a17, 0xaa6d88a3,
+    0x29369fa9, 0x1e4a5c54, 0x39dff89d, 0x92f094fc, 0x6166eec1, 0x4cc1f8f2, 0xe79b0ba3, 0x8c131e56,
+    0x9d92a279, 0xb5fe2084, 0xfc918907, 0x93c894b0, 0x0011bcd6, 0x4a6072aa, 0x90153757, 0x5a124c6a,
+    0xfafe899e, 0xb775c618, 0xa4d11329, 0x798cec2c, 0xc8bd9b16, 0x3f450b42, 0x846ef843, 0x8cf97958,
+    0xba8aabe6, 0x9deedd89, 0xdba05713, 0x5643e569, 0xd8b8c142, 0xaddb5d69, 0x71e1ed22, 0xb16f7c48,
+    0x95cd50f8, 0x363de8d0, 0xa0c1d641, 0x12362a47, 0xb21ffb38, 0x8cbde02d, 0xeb9fcc06, 0x73cd94d1,
+    0x96d64fb8, 0xbbfebdbb, 0x8fee31c6, 0xc5aa5d7e, 0x861404d1, 0x52081ad2, 0xf830124d, 0x6726997b,
+    0x6f28247b, 0x7aeb18a5, 0xb4b7ff07, 0x0a50e69f, 0xcd6b23b1, 0x2f0dc95d, 0x8683e93a, 0xc11bc8e9,
+    0x9d05ba95, 0xef285161, 0xa9c48d28, 0x256dffcc, 0x1a06cb22, 0xbeec8004, 0x12654721, 0x3abafe75,
+    0x5ae7008c, 0x260e2fa5, 0x2cace2ed, 0x8a14c83e, 0xc7975000, 0x42c67092, 0xe69df90b, 0x0ce88e43,
+    0x37988433, 0x8a2e07ac, 0x6cb873c6, 0x705a3c57, 0x15ff10a3, 0xa80c813c, 0xe5cdb1be, 0x7bdba494,
+    0x9ab769b5, 0xa5aacd17, 0x1cc2d551, 0x2f14820e, 0x871f25ce, 0x4fe77f0e, 0xe204c5b4, 0x2d655199,
+    0x6226220b, 0x6cca5d4f, 0xbf8c2e21, 0x08d2e31f, 0x1d6d3a76, 0x873285e0, 0x1a416e2a, 0x49e4dac1,
+    0x0cefd0b1, 0x3cefafe2, 0x703053e7, 0xbbdf3fee, 0xec0ff95c, 0xe6ef76d5, 0x3579c121, 0xd6c2583d,
+    0x02dd64eb, 0x2d3c4d74, 0x1415ec82, 0xce0a402c, 0x976fdb69, 0x7519293b, 0x15ae609b, 0x55d2dfce,
+    0x7bb51c7e, 0x4870a522, 0x1084c2d6, 0xc7876518, 0x7c7f0678, 0x7c76bf88, 0x720cd575, 0x765746d9,
+    0xa2c37820, 0x547eeee4, 0x3d044ffb, 0x61822721, 0x11e3efe8, 0xd4dfd03a, 0xc4869d09, 0xc538d448,
+    0xe5d588dd, 0xab454b4b, 0x88f1f28b, 0xbc3354bf, 0x2fac1f8d, 0xcf8505a0, 0x9786b227, 0xa53b6d8d,
+    0xae44c828, 0x00872031, 0x33f59be7, 0x76e3fd95, 0x7902884a, 0x855572f8, 0xbc99a9e9, 0xa588a7aa,
+    0xf2586d2e, 0xc278a5e8, 0x5c5fad03, 0xfd7c5f20, 0xb369b099, 0x0c424742, 0xe2d6db0f, 0x7e7e53c5,
+    0x05e6dd04, 0x45d08f23, 0xf6040015, 0xa9c22165, 0x65e32f0a, 0x7ec100cd, 0x37340b32, 0x0b6d9db5,
+    0x46695c42, 0x2ae51cf9, 0x3814c7d8, 0x0f1d26fa, 0xb273a520, 0xad6a3c48, 0x6107420e, 0xf748c60f,
+    0xb0b1bd2d, 0x395286b3, 0x43338c77, 0x3b2ebd0c, 0x5dfbd15c, 0xfc03371b, 0x1a2dd06e, 0x22694605,
+    0x93459d50, 0xa5e3f6fb, 0xc1100e10, 0xef94feea, 0xc0025734, 0xee62daa3, 0x12be871a, 0x4e1c6a18,
+    0x1ceeca48, 0xe75f2cfb, 0x025a3356, 0x48c55b9d, 0x8a94364c, 0x43ea9097, 0xdb4fc0d8, 0x1f922768,
+    0x4c50b1b8, 0xf91d1b02, 0x8113cd3c, 0x17e84ca7, 0x591d1e10, 0x501fe313, 0x4cdcb231, 0xe98c9966,
+    0xfe61c2da, 0x34f97dcc, 0xd7806e2f, 0x31ce6bcf, 0xa3a3046f, 0x7421c796, 0x7b702333, 0x1ed89eef,
+    0x9057d63e, 0x59b3e8c8, 0xb26c1662, 0x84350ad1, 0x0e7f5ba4, 0x4673017b, 0xef640b93, 0xe0a71246,
+    0x62556fe0, 0xbc8b48e1, 0x0ef2fd96, 0x0c5d235a, 0xe861b3f9, 0x57bda529, 0xf5c5b129, 0xacf46e7f,
+    0xe70d93ca, 0xf4cb6a7e, 0x60596505, 0x727424b0, 0x13825a50, 0x656f25b8, 0x57b5d99f, 0xa7c3369e,
+    0xe4249d01, 0x00b08ef1, 0x6bb6dd84, 0xf24aed3a, 0x40ef1924, 0xd7edea2b, 0x5573c97e, 0x67c8b0f0,
+    0x1f280df0, 0x05543dd4, 0x9b289519, 0x693ea09c, 0x007b30f1, 0x224753e3, 0x22cfb3cb, 0x75d68e92,
+    0x999f53ba, 0xc8ae8bb8, 0x09e6179d, 0x2e4e5ce5, 0xe615241f, 0x6093bb95, 0xe45e2757, 0x089597af,
+    0xf82c51f5, 0x9b3dfe2f, 0x352783e6, 0x16a97482, 0xbdf11e70, 0x1c115bfa, 0x6489b138, 0xd02b3448,
+    0xa43f53d6, 0xa49f2d24, 0x24853905, 0x5a3f78d1, 0x25d54586, 0x692162c3, 0xc52f646f, 0xdaa61773,
+    0x59f725c6, 0x48dc0a7e, 0x3314bd54, 0xe26fceb3, 0x79478449, 0x5724ec05, 0x6bb724dd, 0x4b48855b,
+    0xa7e36535, 0x30839f76, 0x6f0a06e7, 0x425ce304, 0x653acf0d, 0x9aa2f8b8, 0x3a07a397, 0xb7841711,
+    0x9dec5b8e, 0x56936ae1, 0x24d0666d, 0x6bf2894f, 0x1e5bc51d, 0xda8e1bec, 0xcf8f5fb6, 0x592b285c,
+    0x7738e58c, 0xbc08f3a3, 0xd0cd7632, 0x09ebfade, 0xb9f43ac5, 0x9e8cd293, 0xabe1a97d, 0x2a970d6c,
+    0xc40cfc93, 0x575a3b5b, 0xda26046b, 0x416adc86, 0xb3c225ae, 0x63ef5290, 0x4bbcca40, 0xe9c53bff,
+    0xba37906c, 0x5f2951f1, 0x39f9c23d, 0x5d77a0ac, 0xec69914f, 0x1dfc79ec, 0x817e107b, 0x131bd6ac,
+    0x0dd6f1fd, 0x71c00fa8, 0xeb91ab76, 0xe95535c4, 0x51f33fa3, 0x3d0028f1, 0xa11d2437, 0xee97efa3,
+    0x67c5e92a, 0xd110e67d, 0x16b15df7, 0x36ae3a27, 0x2d40089d, 0xc4e1b3f4, 0x6098a88b, 0x5eef9058,
+    0x08faa820, 0x00630d4a, 0x996185f9, 0x7384cead, 0x88d006a3, 0x5fdae896, 0x5edd9888, 0xdd93f03c,
+    0xe9cf12ee, 0xb2ad7ea3, 0x3ca82c2c, 0x549e1c13, 0x7a98f564, 0x45c958a7, 0xcd0708d3, 0x887aaf5d,
+    0xd47a1b48, 0xfbcaaa0f, 0xc06c20ff, 0x271f4c41, 0xd753536c, 0xb52bc942, 0xf07dfb27, 0x6a80f003,
+    0x2e68f483, 0x6914b170, 0x9bb51812, 0x0764ded1, 0xebd61299, 0x2a214f03, 0x16cf6f0b, 0x3b7c633e,
+    0x49d75e42, 0x73ae0f94, 0x9a7eb546, 0x054e742c, 0x1f47d914, 0xe9c0f5e4, 0xff35df0c, 0x86fe491e,
+    0xb65a1e34, 0xac3c9375, 0x435daca3, 0xa3137661, 0xb6a111ed, 0x63260948, 0x2fa90058, 0xbf80f3b2,
+    0xb5216eb5, 0x32968ae3, 0x2f4d7247, 0x4404c34f, 0x00434cb1, 0x62be097c, 0x439be4d9, 0xae19230a,
+    0x310818d0, 0x2fb9ff1c, 0x04a6bc24, 0x76f80403, 0xde2eb53e, 0xae6c10bb, 0x26ddab46, 0x8dbb24b5,
+    0xfae06d25, 0xc4f649b3, 0x7de90f0c, 0x09d6bca4, 0x1c625f26, 0xeda6cf4b, 0x862fc4a7, 0xab19d1cb,
+    0xcd89c49f, 0x5a8fc278, 0xd0fa3890, 0xdd00a681, 0x001d3be6, 0x1196d7ec, 0x7834a012, 0x9ca2bcfa,
+    0x2f8de389, 0x651b99e5, 0x9f419a56, 0xa2f9e877, 0xe6c2d363, 0x5c7aa458, 0x2f859d71, 0x18ad993c,
+    0xb5b65e5d, 0x8e3131ec, 0x622d5c6c, 0x49c33f36, 0x802aa618, 0xdd66d2aa, 0xba809b21, 0xc83a6108,
+    0x99a915a8, 0x467f3710, 0x6e82c38a, 0xbadf56e5, 0x71498189, 0xbf1379ff, 0x57d6371f, 0x18c1c239,
+    0x4fa9a917, 0x88d09932, 0x330e8923, 0x15ab1b02, 0xe12315bd, 0x204e2022, 0x25d777a7, 0xb5fed146,
+    0xc3c12be9, 0x838a3e81, 0xa8db4a6d, 0xb297bc83, 0x99e0ad65, 0x4289ae06, 0x39f334ee, 0xd8ed2e8f,
+    0xe64c30cd, 0xd7a1d362, 0x742451c7, 0xd705ebef, 0xec2e36ae, 0x2501e08a, 0xaf6b9c8d, 0xa7f42dd3,
+    0x54d3c418, 0x9aa40295, 0x2b3b953d, 0x00a37be2, 0x5221babf, 0x3cddb106, 0xaa1f23ae, 0x14258bfc,
+    0x9b1d368f, 0xafb7bd0e, 0x37887366, 0x6538ec02, 0x993c37d4, 0xb844b00f, 0x3fce25a0, 0xb8b49273,
+    0xa58f1de6, 0x3ab0030e, 0x1119453b, 0x1229cabc, 0x5e8426a0, 0x5eef83da, 0xe5257f9a, 0xd952bd08,
+    0x4f9ad002, 0x8c1454eb, 0xef252772, 0x43c773c1, 0xa7a397a0, 0xa624b771, 0x255b0446, 0xb648cde5,
+    0x5bc420ae, 0xa656534d, 0xae764757, 0x2c15934e, 0x79445e8b, 0xf61a7c6f, 0x12e8cfe0, 0x9bb4edb7,
+    0x01b37d99, 0xfff65ec3, 0x5533b608, 0xb887573e, 0xa7a05f1d, 0x3a8ea651, 0x1cf866e7, 0xa1a970b2,
+    0xa394f1b2, 0x86a1e90f, 0x5eb62c4d, 0x0d77f56a, 0xbd51e09b, 0x231eb269, 0xd6d066ba, 0x4d3b2450,
+    0x20a1fdd8, 0xe55617df, 0xe2e31d9f, 0xc3a3b1fe, 0x28b340f5, 0xe8ee9b9c, 0xa4c0910a, 0x5238a7d4,
+    0x3718d804, 0xca45b147, 0x0a9b784a, 0x7498ba9c, 0x7e90f827, 0xc8d0ab16, 0x2c706235, 0xee47b0ab,
+    0xcad98e9d, 0x26da3261, 0xfabbd4a2, 0x9b383c15, 0x6af145a7, 0x6349fb94, 0x72e65d76, 0x02c8c515,
+    0x4944ca0a, 0xe60475c6, 0x1ccd590e, 0xa68c4fa5, 0x15b06715, 0x0bfb5b82, 0xbfb4ee63, 0x3a87883c,
+    0x0a41d739, 0xf84afcc9, 0x53b2919f, 0x1a798041, 0x5b870d2a, 0x7a4f76db, 0x1aaba705, 0x76a4db73,
+    0x6725c8f1, 0xbbe7ad8e, 0x0e552728, 0xe8fbe5a9, 0xc1139f18, 0x49966c83, 0x14c50dbe, 0x7f81518f,
+    0x8c4b1201, 0x7ca18c02, 0x97ce9fc2, 0xf39cbf4f, 0xe574decd, 0x5de2e154, 0x96642818, 0x5674e9be,
+    0x3f33f1a8, 0xded92fc6, 0xd0af5f6c, 0xc5a356e1, 0x11969b71, 0xdd3728f5, 0xea33aef2, 0xc29d3e2c,
+    0x70d787a1, 0x002741f0, 0x332826e5, 0x33dc0357, 0x4cd17140, 0x173a8dee, 0x7c79a4fc, 0x5986cab3,
+    0xfcaec774, 0x0d904e65, 0x80f67681, 0x4f3642ad, 0xec69a499, 0xd8300ce4, 0xc546cfaa, 0x7aea141c,
+    0xa1f17c96, 0x99c8f472, 0x6199b922, 0x5ba63537, 0x27e49838, 0x3d468339, 0xed43f8a4, 0xe06446f8,
+    0x1a146f3c, 0x55d88a8b, 0x2cc74ed3, 0x9bf3f481, 0xbfc16fdc, 0x9ea4b284, 0x248b6dcb, 0x66cfd6ab,
+    0x8db1f621, 0x35231aa2, 0x3e226064, 0xf658296e, 0x3a3bcadf, 0xcab6644f, 0x5aeaec10, 0xc9079c13,
+    0x0ac6ffe5, 0x389c791a, 0xa5c07b07, 0xb75113c6, 0x5cfee5d7, 0xdf75d2c4, 0xce36c6e2, 0x04be2c0e,
+    0x06c03fc8, 0x0bc460e4, 0x0a4ad094, 0x23d18ff5, 0xbdcdf166, 0x73d4aaec, 0x62ef750e, 0x226d03c9,
+    0xbd151e40, 0x2e3920ad, 0x2244be80, 0x38a6adb6, 0x031e0d6c, 0x005f3077, 0x81231075, 0xa87e684f,
+    0x0c3de319, 0xce0e2528, 0x52a99bc7, 0xc9e21637, 0x61298ce9, 0x691681fb, 0x3a0f7a81, 0x848299d4,
+    0x00000000,
+    0x05cf0b39, 0x236d5901, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097,
+    0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         57896044618658097711785492504343953926634992332820282019728792003956564819968 */
+  { 0x00000000,
+    0x86cfd3f1, 0xb7f511fe, 0x60d23d34, 0xca643771, 0xabb6d06a, 0xc503d1d9, 0x6983183f, 0xd9832771,
+    0xc15cff2a, 0xa58edbeb, 0x2689d2a6, 0x6c38ec60, 0x90be9ea7, 0xc43be232, 0x104b084d, 0x0441af1d,
+    0xa22f5691, 0x1f54b271, 0x316d5391, 0x725d19bf, 0x2d2355c7, 0x7a7ddf9d, 0xccd122bc, 0x362af4a0,
+    0xe0752618, 0x265c127b, 0xc3b2a96a, 0x62ab7a19, 0xfcb40698, 0xd7bfe2f5, 0xb9aa7b76, 0xe60a0b26,
+    0xec7c9c91, 0x9a3654d9, 0x84215a2b, 0xffcad34f, 0xfe9ad831, 0x1a8841db, 0x0131242c, 0x517dd0d4,
+    0xdc29b320, 0x497a77ea, 0x7828ed8b, 0x5fb4f8e9, 0x2f5b0c5f, 0x22c96738, 0x7baa0ea4, 0xb799efd8,
+    0x6ca8a555, 0x126f6674, 0x27e51615, 0x95802c6c, 0xd0832159, 0xd2a34a1f, 0xf70dd2a3, 0x10340262,
+    0x2f711a6b, 0xaef77461, 0xea5cb0df, 0xace7df7e, 0x514fa0b9, 0x42682bc4, 0xbe45cdf6, 0x0e1d3a37,
+    0x832ebd75, 0x6e76367d, 0xe77db729, 0x1e5ea0dc, 0xd1dab310, 0x75480cc5, 0xade75de0, 0xeefcd6f7,
+    0x96c2a3e3, 0x3f700921, 0x8d3a8d61, 0x4636fee1, 0xa20412ff, 0x084fc2de, 0x5f4f3d91, 0x68d43025,
+    0x53c43d67, 0x9cdda51f, 0xf2d96b2d, 0x9b1e0cce, 0x11a57b15, 0xf20c954f, 0x4181b09e, 0xc23837ae,
+    0xa7e0856b, 0xcbec93af, 0x244c5d57, 0x7ccd4096, 0x3a87e167, 0xa438706c, 0x2358199f, 0x07bd4de7,
+    0xa4a7ba21, 0x2aa6a96f, 0xd1c53942, 0x69a7b78f, 0xaea38a7c, 0x4f3b88d4, 0xd2e9e365, 0xa2de3ff3,
+    0x97de17e4, 0xb56b8b10, 0x75d3cc3b, 0xccb4a2d4, 0x6308e9dc, 0xa7d44322, 0xb0c43c45, 0x4e80ad4d,
+    0x0cb06ba8, 0xd77b0c6c, 0x338f1566, 0x23e5bf8a, 0xc4ea53c0, 0x9af25cda, 0x3e6a9c8a, 0x12b89451,
+    0x485145d0, 0xe449fff0, 0x35294744, 0xee1e2974, 0x44ede34d, 0x80890648, 0x10ed2ec4, 0xbb2c3ea7,
+    0x7db9879b, 0x27e07339, 0xdfe0217e, 0x591de4cc, 0xd511d548, 0x39d48f56, 0x4d43346c, 0xe5b10c38,
+    0x71d6ff88, 0xad44c2e0, 0x84ca7bd3, 0xca91624f, 0x5f7f6028, 0xa7188e44, 0xe998c724, 0x7864678d,
+    0xb271b309, 0x874daaab, 0xb3c654a2, 0x7301bb5e, 0x475da768, 0x5607935a, 0x5315c745, 0xa74960a9,
+    0xd6be4905, 0x44bb8170, 0xe6e3f135, 0x208affb1, 0x09f0c052, 0x20661e86, 0xb1744a14, 0xa2a2cc68,
+    0x4a6c8ed0, 0x5f511649, 0xe7d7dfbb, 0xc42af091, 0x30943f1f, 0xfa6407c0, 0x9803ea5c, 0x9bb31e5d,
+    0x2d07a4c6, 0x18aab2f8, 0xe18d631d, 0x57354520, 0xbc3ef2e6, 0xd7df0f26, 0x4bfbc0f0, 0x3bcdd5f3,
+    0x0d3ad1aa, 0x512bd141, 0x5e2ad4d6, 0xb8a5bd9b, 0xd8e887d2, 0x5fe99d81, 0x8b66b4c1, 0xa8798006,
+    0x92d663a8, 0x6e824737, 0x98bf0c07, 0xf7247a26, 0x8ecf12cc, 0xff896e7d, 0x3abba221, 0xa3f521be,
+    0x36e8ac2e, 0x43cd2061, 0x08df7b6f, 0xe93285ac, 0x98f94465, 0x1b520cd9, 0x326a3829, 0x3e347dd2,
+    0xede4a226, 0x40eb9095, 0xff8f06f1, 0xc5b317d6, 0xb8828ee6, 0xd7df4036, 0xeaa1dd7f, 0x80302bdb,
+    0xe5442eec, 0xa0a28f9f, 0x8fe2cfc2, 0xaafd0d80, 0x32279df9, 0xd974cf6c, 0x266de647, 0x92f96212,
+    0x6206f868, 0xae1f4fa8, 0x325af72c, 0x0a719e4b, 0xb16a28ee, 0xee0d9e00, 0xc4f28fc9, 0x9417476e,
+    0x8af6bb53, 0xbbe34c7a, 0x69dd2341, 0xfadd12ec, 0x8f2782dc, 0xaa0d11c7, 0x8a36b86e, 0xc073d913,
+    0x973d63f4, 0xe84b37ff, 0x38cb767c, 0x0ad05c26, 0xe30e6a50, 0x1907bd41, 0x49ad8de4, 0x567ef086,
+    0x1b48e80f, 0x4d965d8e, 0xbc66ae6d, 0x19045575, 0x98dc1a45, 0xbb6dbf43, 0xa99e4abd, 0x71e93112,
+    0x050d0983, 0xc4f0931a, 0x1b369c6d, 0x874573e8, 0x840eba86, 0xa021b0d8, 0x2ba6750c, 0xe228d1a1,
+    0x52898ec8, 0x8bce958b, 0xb42a0a26, 0x0046fa85, 0xe889ecd3, 0x66e19751, 0xd9095375, 0x3ed5df9f,
+    0x5d2bf745, 0xc50eecde, 0x176dd5d8, 0x722295ee, 0x4b5e5fea, 0x84b380aa, 0xc4b69266, 0xcca0f70e,
+    0xa53d5183, 0xd9369f82, 0x31b99ab7, 0x32aa2011, 0x4aba1877, 0x039422c9, 0xef18ea61, 0x536d4005,
+    0x272515f0, 0xee29fac6, 0x4566d187, 0x1859fb0d, 0xd9a129bb, 0x39781d0b, 0x94a2198a, 0xddf6c0d0,
+    0xf86d021d, 0x605d8197, 0x8ea8ec2f, 0x97264c63, 0x672374a3, 0xb6b9791b, 0x7ddef1f8, 0xa804b04a,
+    0x0cf49317, 0x78736038, 0x9770dffd, 0xea92f96c, 0xebcf8469, 0x2bd16ec9, 0x7bd554d2, 0xd3a41342,
+    0x27b43d53, 0x3ca551a8, 0x81946142, 0x48192e11, 0x389859ec, 0x6da1a0cd, 0x67fdfb10, 0xb38680da,
+    0x1be23e2d, 0x8d0dd253, 0x47fabf0b, 0xe4a28582, 0x07e97100, 0x49d16cc8, 0xc6db1add, 0x02846aee,
+    0x068850ad, 0x94d0cdba, 0x43338832, 0x36091de2, 0x9a2c9899, 0x67044c90, 0xb46b34ce, 0x9ccc1387,
+    0xccf4ecfb, 0x50ef62bc, 0x183bba40, 0x81c293c9, 0x6412e1bf, 0x33b48806, 0xe8d0c060, 0x9591ce70,
+    0xc9469966, 0xf0e7a6fa, 0x94ab2667, 0x8a57eda6, 0x91631228, 0x2f9178a6, 0x1fbed932, 0x0384a153,
+    0x77b86820, 0xca6658c4, 0x06631f92, 0x1389a7e1, 0x22c82459, 0xb50e8abf, 0x26e3dcf4, 0x8ee03d3f,
+    0xca38c9f7, 0xab1f5b68, 0x96231e73, 0xcfa2077d, 0x62597112, 0xe249590a, 0x7a4454c7, 0x8e43ba98,
+    0x3b1e2efc, 0x5bd6defe, 0x85bdfd29, 0x617feda8, 0xae564386, 0x25f6021c, 0x73e858f7, 0xb49eaa94,
+    0x17207c63, 0xf3b2c904, 0x8f968d3d, 0x62b124e8, 0x53d446e5, 0xb6b5f347, 0x0c36eed5, 0x22ef3e52,
+    0x1d2e47a8, 0x87cdb8a1, 0x32f7ee36, 0x915b8f64, 0x57191e8f, 0x20d08afa, 0xa72ca0d1, 0x46a56e2e,
+    0xf21c2059, 0xbf5cbe4d, 0xee6468bd, 0xc67f839a, 0xd7f578c1, 0xedc0d462, 0x94ecc244, 0xa37eb2b4,
+    0x6a4aa6ac, 0x6fbdeb6c, 0xd8e0b55a, 0xac50278b, 0x70c9fe0e, 0xd10e4623, 0xb2ed8858, 0x6a9760f2,
+    0x9ddf0050, 0xecd7e1c7, 0x12f91509, 0x73678fba, 0x5a8466e3, 0xb3cfd02c, 0x1bf6e1c9, 0x93cb05b6,
+    0xd00070e9, 0x84a78ef5, 0x843e09b1, 0x127b24ad, 0x4202d40a, 0xaa5b41e7, 0x51c019a0, 0x4d603a77,
+    0x9aa25b81, 0xc6dd61c3, 0xc764ce53, 0x1212980e, 0xf6df5307, 0xa7567739, 0xb5ed2461, 0x82d75142,
+    0x98ffb2d5, 0x3fac0cd5, 0xab61c601, 0xdee015d6, 0xac6e8b2a, 0xd75fecf1, 0x92af8b72, 0x3742416f,
+    0x28a4853e, 0xaccf4370, 0x3dae7b6d, 0x7cbf78d2, 0xf4af24f0, 0x346cedac, 0x904829b3, 0x072f5caa,
+    0x6f38145f, 0xf1baf2d9, 0xa742beb1, 0x6eba3323, 0xa9647051, 0xe2b3c4bc, 0x63b17806, 0xc117344d,
+    0xc1ae9f5d, 0xac1c5cb4, 0x72a59be3, 0xc2ab2cb0, 0x42a04c56, 0x5ef062d6, 0x229df320, 0x49bbcd93,
+    0xda1d2c22, 0x9f9be445, 0x18b0a0dc, 0xd5aab311, 0x3322bdb0, 0x3c773fff, 0xefc9cc47, 0x53dd1eb2,
+    0xe5222267, 0x3ef7a7e6, 0x6f431cfa, 0xa5b3f12d, 0xfe818183, 0x8a512e29, 0x8f1b60b0, 0x21282010,
+    0xf7c77b55, 0x1ba2cd81, 0xea215448, 0xd66426d3, 0xdf23536e, 0xe6365dec, 0x52068248, 0x4426ea62,
+    0x4c4cd5e8, 0x566d0ea0, 0xf9ac15ce, 0x451cb07c, 0xf1e782bc, 0x0298b3ac, 0xab66517d, 0x5acc0907,
+    0xc0ff1761, 0x0d4fb500, 0x741e2f34, 0x5aab646d, 0x149bbc2f, 0x275d3ccb, 0x7e8a9f8b, 0xa45069e5,
+    0x2281b758, 0x003173b3, 0xad4dd028, 0xb566e632, 0xee496daa, 0xba4b409d, 0x40703c73, 0x4a3d6bdd,
+    0xdd864892, 0xdbdc624b, 0x19ab00fb, 0xf9091704, 0x7e05e16e, 0xc0c2d3b4, 0x976b700a, 0xc020ab6f,
+    0xf229f0c4, 0x7ac13597, 0x414697be, 0x89bad45a, 0x3f881b9b, 0x5d80f61b, 0x33c04adc, 0xb5c3942c,
+    0x271d5b25, 0xd185aa2c, 0x56731020, 0x38abada1, 0xc0d75795, 0x3d630922, 0x3a53a04d, 0xccfe80b7,
+    0x419834e5, 0x1bc2a541, 0x497a5223, 0x22495b36, 0x3481a479, 0xc72ecf06, 0x63e4a0b5, 0xc3077d2c,
+    0x781c909b, 0xf96b1b2f, 0xeb8c45ba, 0xff90c0f0, 0xf7b149f8, 0x0f08fca1, 0xd94323b3, 0x197ee738,
+    0xbd4e993e, 0x758c977d, 0x9d36078a, 0x20e9a1b3, 0x2382ff49, 0x01d26c42, 0x91eab50f, 0x369b684c,
+    0xf0264b18, 0x793e9603, 0x7137d5a9, 0xbf1bddf6, 0x76f759ec, 0xaa078053, 0x7c89443a, 0x9eddc237,
+    0x351df5db, 0x10f7a182, 0xd6867509, 0x2f0e72e0, 0x52d37a64, 0x3ca60f3f, 0x0a141c51, 0x3fb59b87,
+    0xc5b96ef7, 0x79b98c69, 0xc421bd3c, 0xa822b2c8, 0x1b2a00fe, 0xd656f020, 0x251c6912, 0xb3ae88e8,
+    0x06df0b0c, 0x5693df68, 0xbd3c503b, 0x793d4f49, 0x329ba8f6, 0x3234b478, 0xc05dcb20, 0x8784c91b,
+    0x7932f047, 0x39c7dd54, 0x115b143a, 0x9c604cf9, 0x393144e3, 0x1066ec5a, 0xd35fba64, 0x829c0c5c,
+    0x377d9f85, 0xc63035cc, 0x4375a1db, 0x8195e41f, 0xf5c82db5, 0x279441b0, 0xfd530a3e, 0x6e4cb1bc,
+    0xd5f3b3f9, 0xa9eef32a, 0x06e8d7dd, 0x3789edd9, 0x05465e4a, 0xcd36b54d, 0xcd7284bb, 0xccca2c8e,
+    0xdd81f27b, 0xe2be9814, 0x1b6f0d07, 0x75e181de, 0xb2100f4e, 0x598071f4, 0x9c9a36fb, 0x17debc76,
+    0x3a2cd063, 0xad84ed3c, 0x5ccb6229, 0x15f1890d, 0x0e7c2198, 0xc426a3df, 0x40830813, 0xaf0d03ca,
+    0x5e44cc09, 0xb3e643e8, 0xfca43283, 0x3e4ce15e, 0xe6949892, 0x7e2abca1, 0x1370f289, 0x45c2ee75,
+    0x63aaba0f, 0xffc8e082, 0x3ef3c139, 0xfcb9c1fd, 0x8053e4dc, 0x7c3b127c, 0xe974d343, 0x90d60727,
+    0xfaf8dbe5, 0xdb29111c, 0xc17094dd, 0x0cdb6e92, 0xd42790df, 0xffdb97c3, 0x2e11a6b8, 0x12539a58,
+    0x67073699, 0x95e215be, 0x50d1c767, 0xa7dff46d, 0xc2ba6336, 0xdb4f9568, 0xdd9e52c7, 0x49ad1543,
+    0x37684b23, 0x53311555, 0x482a458c, 0xfc42f458, 0x0f7eb966, 0xb644d295, 0x0b0ad489, 0x4354a929,
+    0xe088040f, 0xc9e2b41d, 0x024ded77, 0xffc7e0fe, 0x51c13f79, 0xdd3976f8, 0x56da965c, 0xde1c0988,
+    0xd14e87f2, 0x4356ed1f, 0x46440481, 0x48355a20, 0xaf2dd358, 0xfcb53ac6, 0x10064d7c, 0xe9b534a7,
+    0x381a9f6a, 0x68349a0a, 0x8d98e1fd, 0xa3a26527, 0x4f1171fa, 0x7ef4cfd8, 0x43e780a9, 0xb369b0d4,
+    0x4ce72cfe, 0xaf0657aa, 0x874603c1, 0x95d3e33b, 0x32a98abd, 0xcb37d071, 0x7a8c3739, 0x51710ac1,
+    0x832f4306, 0x952ae543, 0xaf7f0105, 0xba365bf4, 0x361c6b18, 0x12efda78, 0x207b4b91, 0xe47a0327,
+    0xca5cf738, 0xa93db43f, 0xcfd4e06a, 0x3ee8888a, 0xfc21c9e8, 0xc0fcb078, 0xa5308149, 0x79d0302e,
+    0x3cfb9f4a, 0x6ca8fcaf, 0x7ee85ef1, 0x8a17e5cc, 0x547ae3cb, 0x467c9050, 0xf7bf3c66, 0xa5dc0e4d,
+    0x2ed352b1, 0xea0a344f, 0xc052be64, 0x1a87fdc8, 0x302d1ea4, 0x41b8faf8, 0x33ad44ae, 0xc674598c,
+    0x2f74d286, 0x8ee84aa7, 0x9dff721f, 0xe5761b0d, 0xf99031d2, 0xa7286f43, 0x1043b603, 0xc3b975d8,
+    0x96db1e1b, 0x27a28387, 0x70a4990c, 0x6013f648, 0x7c91bd87, 0x3835f811, 0x96a34b16, 0xeb921362,
+    0x08ce708a, 0xae1a1a7f, 0x2319189c, 0xdc954e9f, 0xa2c4f0e8, 0x8442eb87, 0xd0e49085, 0x048f8dec,
+    0xb0ae3b7b, 0x9e0cf5a2, 0xe7347365, 0x7b5c4926, 0x5dd393f9, 0x52e0e72c, 0x092d5267, 0x67288807,
+    0x57c58265, 0x3fe3f95b, 0x595b3003, 0x12b0613d, 0x265f3a67, 0x5438aa32, 0x3131de3e, 0xedd2df7f,
+    0x0f844c25, 0xd1071c4c, 0x37c30a5a, 0xa444576b, 0x3813f321, 0x5445b037, 0xd6a96f8d, 0xbec3d791,
+    0x4e70a247, 0x31733c4e, 0x7e84679a, 0xb37dcad0, 0x804c20b2, 0xb26690cb, 0xbf09bda6, 0x4654ad47,
+    0xf992c92a, 0xe679f4fa, 0xf3886fd2, 0xcf0126ba, 0x19dd8c9b, 0xfa68a2ab, 0x77ae33fc, 0x05a8ac90,
+    0xba79064c, 0x5ef82416, 0xd53c3e2c, 0xb41e0320, 0xc97b98f2, 0x98ed06e8, 0x3e6a05c4, 0x673fa5ff,
+    0x64bfaaae, 0x49c7aa66, 0x54ea65b7, 0x044c0ea0, 0xea36b53e, 0xd3908467, 0xde4d4380, 0x2db56185,
+    0x020774af, 0x5fb9c91d, 0x3ae0a6fb, 0x00b4245f, 0xba47263f, 0xa9d2d184, 0xec2b8e71, 0x05ed2a16,
+    0x1e08c5f6, 0x6fe12af7, 0xbddd8d6b, 0x54d8dbfa, 0xdb43631e, 0x58b30ed5, 0x356d270e, 0xcaeff3bd,
+    0xd4aa977f, 0x73de8df2, 0xe083b728, 0xfae4ce5c, 0x5593c3b0, 0x293f4ff0, 0xd6ddc5d0, 0xb2737935,
+    0x3065a02c, 0x07b42317, 0xfb386617, 0x3dcd03fa, 0x1f0932ce, 0x7f2b07e1, 0x91d189ed, 0x97ec23fc,
+    0xf6fd9ea1, 0x29c5c93b, 0x8555a92c, 0xcd816225, 0xfad2dd75, 0x07c84189, 0x4f44c423, 0xd849e356,
+    0x4cfeffee, 0xecf0601d, 0x1640fabe, 0xb977c78d, 0x7542c903, 0x7807310a, 0x1773bee9, 0xee82586b,
+    0x3a2d6ef3, 0x035717b3, 0x40f8443f, 0xf220dc99, 0x6dc0c564, 0x1b898896, 0xd083bb30, 0xb8c03b0f,
+    0x28c851d1, 0xb03339ba, 0xb0a9c697, 0xfc9a6308, 0x96b02b28, 0xa9090331, 0xb70fffd5, 0x6c80b098,
+    0x6d5d102d, 0xb6909ba7, 0x607d6ff1, 0x1412b0b1, 0xe9823fb8, 0xca6f5d13, 0x4f67806b, 0x022df160,
+    0x3b8a03cd, 0x8acaa384, 0xcd4a8ede, 0x94e30300, 0x0751897f, 0xaed2213e, 0xc58b8a9c, 0x12209e4c,
+    0x4623762b, 0x5cffbf5f, 0x4b70ed6a, 0xeb53e0ee, 0xa979d750, 0x317ca9cd, 0x0e28f1b4, 0x30c3c715,
+    0xadc0f208, 0x8740e509, 0x13185c4c, 0x4eb46221, 0xadde25dc, 0x5332f2a3, 0x3990fa3d, 0x2dab1457,
+    0x26d89c17, 0x3d44a1a2, 0x9814323e, 0x2d503b4d, 0xa81a701c, 0x8e7923b8, 0x8481e876, 0xbf5a9785,
+    0x5e4173ca, 0xfaf984d9, 0xd637db8f, 0x44d9c6fa, 0xf0ea3979, 0x658aea81, 0xa144371a, 0x1e7fa930,
+    0xe113e114, 0x2199ac0a, 0xf5259281, 0x83f8121f, 0x9d97aa65, 0x22e26a48, 0x077e9191, 0x493eb320,
+    0x005900c3, 0x9020724c, 0x2f6400e7, 0xc26f4210, 0xb0d31df8, 0x72670271, 0x962594db, 0x2fd87e73,
+    0x08dce39f, 0x5ad545a5, 0x9473c2a1, 0xa855df37, 0xcb70ce72, 0x1c011430, 0xaa6f0787, 0x658bc4a1,
+    0xf4beeb6b, 0xe816c8bf, 0xb97ad9d7, 0x3c2bd19e, 0xf163710e, 0x9fe714d0, 0xe9e29ab0, 0x30a8337a,
+    0xfcd6c9df, 0xf1c17c82, 0x1e871054, 0x5c88ad5e, 0x95197126, 0xe4e48f90, 0xbdfce8d2, 0x5d89a382,
+    0x6492b18b, 0xc2802cf3, 0x075d4a6c, 0x22448bb0, 0x8354e776, 0x9eb70b4a, 0x426bf35c, 0x01b89591,
+    0x0760d2dd, 0x95f41262, 0x4f781974, 0xf069e101, 0xc08a0211, 0xc32a6477, 0xfb1c145d, 0xeaa3c19d,
+    0x44df3e61, 0xa1b3b60c, 0x9929c75e, 0x2576db14, 0x5e1f6eb3, 0xeaae75f6, 0x8c98e84d, 0x2a6ecee7,
+    0xe3166b4c, 0xa5740f93, 0xa0ea936b, 0x939a6a9d, 0x19cddbd6, 0x67ef4b17, 0x98bb5af7, 0x0d7ba6f2,
+    0x1e8f8b2b, 0x336f3b10, 0xac059723, 0xd2f51496, 0x71a8272b, 0x68699182, 0x0640641b, 0x12aedbcd,
+    0xcbc2f35b, 0x53d0711b, 0xe4fb3c4f, 0x60f20364, 0x0c4b92ff, 0xe72ae9ff, 0xb2ea2594, 0x823c4d7f,
+    0x00000000,
+    0x82e7859c, 0x91b6ac80, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         28948022309329048855892746252171976963317496166410141009864396001978282409984 */
+  { 0x00000000,
+    0xe215e429, 0xb0bac8bd, 0x493feffe, 0x4e9f6d17, 0xc354d020, 0xf245e731, 0x9d68561f, 0x88e3ea0b,
+    0x0453bf90, 0x969222d4, 0x53ce2d57, 0x207f5a1b, 0x3bbde553, 0x7334f8b4, 0x8aed6f08, 0x71be3f1b,
+    0x9c30133f, 0x58f3a2c8, 0x2d8222b0, 0xd1ce541e, 0x7b7e3177, 0x336d1a21, 0x2b16ffb3, 0xcd512736,
+    0xf3318b5d, 0x56031dfe, 0x39146474, 0x7e267450, 0xa8776d3f, 0x0f53b72c, 0x641ea737, 0xdf5cc983,
+    0x26d5ae6d, 0x7d338b0f, 0xc07463ab, 0x244bea75, 0x64709595, 0x2e21083d, 0xb3c45a33, 0x11e62c61,
+    0xaba4ce26, 0xb14af8e1, 0xfcfe095e, 0xf1ca7686, 0x8a228d2d, 0x0e35dd9a, 0xd73427c7, 0xbe94ed23,
+    0x91bd8eae, 0xbafdc3e5, 0x36e48fc7, 0x81be4197, 0xd1786428, 0x0af95670, 0x8eb675e9, 0xab209c6b,
+    0xd40e16d5, 0x84b19db3, 0x2d3ec1da, 0xb0134171, 0x91d3835c, 0xc9ac97c6, 0x7d36d5b8, 0xb8c0003c,
+    0xf5e65482, 0x7ee60189, 0xcd479e20, 0x88f5b41f, 0x9fdecaa9, 0x026af342, 0xf974d6a8, 0xd0fc9918,
+    0xf6458207, 0xbb6acc4e, 0xcec65094, 0x23f92e61, 0x899a7473, 0xd3319f9c, 0x7202bab6, 0x384ae467,
+    0x5750c225, 0xff639eb3, 0xc38c730c, 0xb5fceabd, 0x9b2bbe0e, 0x834a5b4d, 0x9b1ef7f0, 0x26ac23f1,
+    0x2eaf15f6, 0x25fb0eff, 0xa9e010c5, 0xd13bd87b, 0x8ad68e2d, 0xd3bf6a3a, 0x511094eb, 0x54c90a8b,
+    0x6947b0b2, 0x90370903, 0xf589ae46, 0x52068491, 0xd952e483, 0x3ee780a5, 0x44889c49, 0x960a0241,
+    0xc487aaf9, 0xe7135c22, 0x74bfe166, 0x885cbf54, 0xc68880c7, 0x88a41232, 0x53cca76d, 0x52302bdf,
+    0xc38d00e4, 0x075a8f5e, 0x0a9d2210, 0xd41d1d11, 0xfbdffe88, 0x87cdc824, 0x827726e7, 0x977db331,
+    0x3bd20d9d, 0xa95e3002, 0x07d8766f, 0x66e39a8b, 0xb985eb0b, 0x9cd8ca44, 0xdd87c9f5, 0x1070c3cd,
+    0x0c286f30, 0x4b22c6df, 0xb2a6ed75, 0xf4a3848d, 0xf0689301, 0x6165ab7c, 0xa2ea73e5, 0xdabe70a1,
+    0x39369c62, 0xaba7900b, 0x569a3c9b, 0x997d9904, 0xd7f054ba, 0x7092c1d2, 0x0b0a326c, 0x33252728,
+    0x7526302e, 0x4256d571, 0x8286b80e, 0x61e4662b, 0xf5214933, 0x48c50095, 0x3bb654e1, 0xeabe1d38,
+    0x00729ed0, 0xf7762f5f, 0xe3355666, 0x87cd43a1, 0xb7ce78fc, 0xd252b5da, 0xd0af28cc, 0x10139d5d,
+    0xc6a38b31, 0x11af33f6, 0xdb3fe55f, 0x1f462910, 0xa0866270, 0x3b10c915, 0x2a67fbde, 0x2696d192,
+    0x76d5ffc9, 0xf3089f01, 0x3481cb5c, 0x0a9eba99, 0x8b6b21f7, 0xbe819dd6, 0xa501841a, 0xf3b3f093,
+    0x84e2ec8f, 0x0ff3bf00, 0x34f90935, 0x780139a2, 0x4161966c, 0x01dc5fe7, 0x28c69f88, 0x6cb33463,
+    0x613551b0, 0x54b700bf, 0x35271a51, 0xdcf293ce, 0xd97e29eb, 0xb39182a0, 0xeb7f69a4, 0xd4b9ac8e,
+    0x1660ff5f, 0x28f7d635, 0xe9a4a708, 0x438a405e, 0xabb23b5b, 0x289bae3b, 0xd2916dc4, 0xb80ac7fc,
+    0x96d69b99, 0x520e74e5, 0x768db7c7, 0x4700393a, 0x4a40c04d, 0x39798e99, 0x160b5858, 0x03d630c7,
+    0x20337c49, 0x1e08e7d0, 0xf47f6739, 0xea52d93e, 0x92211961, 0xe853dc20, 0x27375839, 0xed5c6af7,
+    0x864f7592, 0x504e3420, 0x79fca7e2, 0x1339efa3, 0x28518023, 0x8050ba6f, 0x2aaf8e85, 0x008fcb3e,
+    0xd0831696, 0xfa24f7d4, 0xa556dea0, 0xdff99f85, 0x9346a818, 0x0b8eb9f9, 0x93571e0d, 0x5fd24df5,
+    0x689fa15c, 0x6e193242, 0xf6b52907, 0x9bf8713e, 0xa9db6cd9, 0x5df52bb0, 0xfdc29417, 0x17732ef1,
+    0x3ddf4ee0, 0xf2d337ef, 0x89828ad0, 0x972d3501, 0xb48aadc9, 0x7b626c39, 0x328c38fe, 0x95e767ec,
+    0x4a935edd, 0x75582370, 0x0d57aab7, 0x3e77dbbc, 0x1b03759f, 0x28c57162, 0x025a01dc, 0x4d104d10,
+    0xd3de38e3, 0xc3a30b7c, 0xe8966659, 0xf6968466, 0xa3342b43, 0xd943fe8d, 0xcb800358, 0x1dd2d615,
+    0xbf946eb2, 0xc3656609, 0xdc168a7d, 0xd8609fbf, 0x9807bf4a, 0x9b6c5526, 0x176e5183, 0xc83152c4,
+    0x7eede010, 0x3dc68467, 0xd6e17aac, 0xb7572bd1, 0xd868b6d7, 0xc23053ef, 0x48ee4f3f, 0x786935f1,
+    0x020b97ec, 0x5b52e578, 0xd3476420, 0x5260e57d, 0x4e56cb39, 0x37c65077, 0x726a38d4, 0x56d551da,
+    0x3fe6905a, 0x3514a243, 0xf5337a5c, 0xed837f48, 0x1563dfac, 0xaf1eb0b7, 0x090bd2a9, 0xb3337e97,
+    0xfebf757c, 0xc738a8a0, 0x6d6829d5, 0xd5c90b8c, 0xfa48f4ef, 0xe93ac6f8, 0xdd6001d3, 0xdf8e6da7,
+    0x0c7aae2d, 0x967e593c, 0xceedd88f, 0x0807dc44, 0xb7a4b4f7, 0x9a3bde8a, 0x6fbcdf3a, 0x01047175,
+    0x0f58d758, 0xb1b11ca6, 0x653a52e4, 0x031ce48b, 0xe7cfb1d0, 0x895eb786, 0xeffd796f, 0x154910dd,
+    0x8aebd9e0, 0x16e0f035, 0x3aa4c332, 0xcbc92d53, 0x304de1b1, 0xecebcea6, 0x6716a17d, 0x9867322d,
+    0xa859d9cd, 0xb0b68425, 0xa2be891f, 0x27089b35, 0x634aea5e, 0xaee84b48, 0xf2b42b59, 0x6f8111ca,
+    0x94d3fd19, 0xb3a7270d, 0x8d922d7d, 0xeb198409, 0x74c402d9, 0x4b800948, 0x7831b5ff, 0x8ca9496b,
+    0x3b28cd40, 0x549974df, 0xf96589be, 0xcc99fd2b, 0x03b6a936, 0xcc85ac19, 0xd36acc72, 0x10cd7072,
+    0xfdb26624, 0xc7128746, 0x4bb5a5a0, 0x68fb58d5, 0x05ac78e7, 0x99072ba3, 0xce7359b4, 0x4217142e,
+    0x765186fa, 0xb3c9aec0, 0x3a30fc85, 0x84f3e14d, 0x387537da, 0x64c389ec, 0x137101b9, 0xc8949827,
+    0xe2d3d45a, 0x552aab19, 0xf8349173, 0x41559837, 0xd9a4964b, 0x1aa62878, 0x9febdb6b, 0x6bd00cd9,
+    0xdd225980, 0x82df761e, 0x9beee644, 0x83f0d2df, 0x3cc379b5, 0xbf326bac, 0x984ee62e, 0x1d3fce01,
+    0x2fb490da, 0xbf2e980c, 0xbf986021, 0xda261a69, 0x338df93e, 0x3275b830, 0xe65af696, 0x1cdf2c6d,
+    0x74233400, 0x702a852f, 0xf04b2605, 0x1eb7f729, 0x12a57a44, 0x23ddb2cf, 0x3be96a71, 0x1fae3945,
+    0x9512aa0c, 0xa00e8644, 0xf7d41981, 0x3d9f5720, 0x01a18e9e, 0x0e4b3c20, 0x2e874e7c, 0x18bb5882,
+    0x99ac019f, 0xdf5c57a4, 0x38f57c9d, 0x9518fe78, 0x23040415, 0x92d7ab62, 0xe3a5dba3, 0xc9125b26,
+    0x900279c6, 0x2a63b33b, 0xcff408a1, 0x9caea1bb, 0xcff161d4, 0x4f80189f, 0x96240683, 0x30fcaebc,
+    0xcd3d812d, 0xb94822f3, 0x777309a5, 0x240770da, 0xc678b292, 0x533ec41a, 0xa7615d19, 0x25a9a34a,
+    0x04fb8785, 0x054026fb, 0x66402df5, 0x46de9dc0, 0x99adf6a7, 0xcddb026e, 0x96b0489e, 0xa1d7dbab,
+    0xd3e7e3b4, 0x4b54db38, 0x939b41c2, 0x71bcc43a, 0x79ea4bbd, 0x969aa53e, 0x250a7463, 0xfa1a7df7,
+    0xd7b62856, 0x5c41c47c, 0x9e932106, 0xa71d8fad, 0xa05d2929, 0x1c29e442, 0x1b13ac73, 0x5a3f1218,
+    0x3791b3cc, 0xb4ffb33f, 0x76eb487a, 0xbad41c35, 0x94eee362, 0x9c16cd4d, 0x3414f3f2, 0xfd116601,
+    0xffe7aae7, 0xdda3206e, 0x4b9517ed, 0x0a989cbf, 0xd68fe2be, 0xce7b2a1f, 0xde697d9d, 0x7ef2f61e,
+    0x5aa34bd3, 0xf8415b4a, 0x4932e9df, 0x78898d63, 0x0195e536, 0xacf147ea, 0xfb668c5c, 0x9b0b4e88,
+    0xfbd604c3, 0xe349380f, 0xd2cfeb6e, 0x4147a280, 0xa61b2412, 0x6bbf4d9f, 0x1405bf17, 0x21f4c883,
+    0x36a8f51c, 0x5aa562b8, 0x8a738e63, 0x60163315, 0xc8ea5bfb, 0x865a7824, 0x026b5ce5, 0xf8184e77,
+    0xafdb85fe, 0xcdba7c4d, 0xd5b6bb95, 0x59fb3f8e, 0x06f00fb6, 0xaf1e78ca, 0x982f9986, 0x52b3a11b,
+    0x7cc3e4ac, 0x4444e8bb, 0xd9cd29eb, 0xb531c202, 0x202712ea, 0x17ca5b5c, 0x4f1c4e30, 0x52298eaf,
+    0xea42491e, 0x1cf25237, 0x7e9f90db, 0x3c6ee866, 0x216209a3, 0x9640d45a, 0xb7040220, 0x9ded5b85,
+    0x08e66d0d, 0xb6d0d205, 0x872a7303, 0xbc891312, 0xe4e613d9, 0x32c1ce91, 0xb3df1c89, 0x9f413503,
+    0x6c912e26, 0xd93d7193, 0x5f134919, 0xeeba8e9c, 0x1063d40d, 0xc43b1e07, 0xab68acc3, 0x42ae2516,
+    0x85303af9, 0x3c8c38ea, 0xb66a3379, 0x3d1a3a78, 0x8f208e8f, 0xbf7e95b1, 0xfe0bfee3, 0x9385a753,
+    0xa23c389d, 0x308ef528, 0xb1643f70, 0xb5f4b9aa, 0x2654f6c1, 0xb778fb51, 0x6b58f0b4, 0xd7ea182d,
+    0x3c6a1853, 0x27b2bf1a, 0xb0675735, 0xb69a9828, 0xba61ccfd, 0xef7d442e, 0xed4d7ace, 0x021b15e2,
+    0x3b0d86a1, 0x8acb981f, 0x1bc8edec, 0xf466e905, 0x89d2d56c, 0xf612781d, 0x0981908d, 0xa77d037b,
+    0x86aca928, 0xc96ec341, 0x96b66d6a, 0xe04f0111, 0xcfba5584, 0x7eae9ea8, 0x586efb73, 0x034e177b,
+    0xb3187df0, 0xc46b73b5, 0x9d495e17, 0x64801a7f, 0x636da10f, 0xf846ed2b, 0xa76d0506, 0xf8e96e1a,
+    0x2f1b849c, 0xa8ce5604, 0x5b1eeb0a, 0xcec820e1, 0xd168f0ba, 0x8aba69e1, 0xb685bc8b, 0x3c53a366,
+    0x2cc757f7, 0x3308559e, 0x2c216a92, 0x485d6b86, 0x24c3e234, 0xee44924c, 0x220f68b9, 0x9b9a6963,
+    0xed9fbc26, 0x95ee2919, 0x77ef6fcf, 0x7e23136d, 0x05878e42, 0x46f59df9, 0x259927d6, 0x0e8598b9,
+    0x13005539, 0x5b15104b, 0x2206f2f6, 0x9b9c7664, 0xd81f3711, 0xf2a13a8e, 0x1bc791ca, 0x174d755e,
+    0x24c3eb94, 0xad0c28f4, 0x7c2abea9, 0x8093082c, 0x5e681d05, 0x82997f83, 0x5a617350, 0xf2d9a90a,
+    0x6c11c6b7, 0xe726bf54, 0x87c86d9a, 0xe72b1b4c, 0x518ea135, 0x315398f3, 0x526553ab, 0x9611224c,
+    0x9739f29f, 0x15586466, 0x63719f43, 0x6bca79c3, 0x40c7aba1, 0xc40b9c49, 0xde6e730b, 0x4239592d,
+    0x9b4c1173, 0x390e1fc7, 0x1378c8ea, 0xb54fc8e7, 0xb70be61d, 0x6bfda2e5, 0x27651d8c, 0x6c83e110,
+    0x53ca2231, 0xd5bec1cc, 0x6d83a9d7, 0x51be31b1, 0xa1ebe0ac, 0x823d0919, 0x28639dd0, 0x126b9b0f,
+    0xad3f8ce9, 0x82f93a79, 0x80b934d8, 0x863123e9, 0x9b5e04a3, 0x67351b8d, 0x685d0723, 0x9aa88388,
+    0x33b20cbe, 0xef92edc8, 0x7ea9d60f, 0xd71b4a19, 0xfabec42d, 0x6b6cd316, 0xc29e4349, 0x1b2fef25,
+    0x5fec9626, 0xca72a615, 0x177a03ba, 0xf16f5b03, 0x22bea258, 0x8e35d1dd, 0x4888dd21, 0x8dd6687e,
+    0x689b2a6a, 0xbacc4a96, 0xa6bd705d, 0xfbd456ac, 0x474e6361, 0x61ca3879, 0x8d12a941, 0x0d9e4d7e,
+    0x56f39daa, 0xec6e5d64, 0x1cc5617f, 0xf1cb4389, 0x1f7fc4f3, 0xc525bdf9, 0xe66c5357, 0x5f033fbb,
+    0x93d8ab8e, 0xa4fb80ac, 0x4840f60a, 0x7fc17826, 0x5a4ed659, 0x48cc2354, 0xa3535711, 0x1c2e3f13,
+    0x9c1f4a0d, 0x0694157b, 0xf4feb66c, 0xe415ef38, 0xee803dd5, 0x70d0d8b2, 0x0bb11461, 0x61a9cb96,
+    0xa84505e6, 0xd50efadb, 0x5891f346, 0x6d4e6297, 0x63616816, 0x49299b86, 0x2d1d3a61, 0x71211239,
+    0xf9aa1006, 0x14c7ec40, 0x56cae75f, 0x47190982, 0xb0661b24, 0x6701cb5d, 0x1611c05c, 0xca0393cf,
+    0xbb13d0d7, 0xabd98a8b, 0xaf315162, 0xa1c64da3, 0xe79ea704, 0x23492b72, 0xd9fbe599, 0x12d4875f,
+    0x00ca72c6, 0xb002b7e1, 0x76d463f1, 0x30981775, 0x50b9799b, 0x9190892c, 0x109bf1a6, 0x251fc19b,
+    0xa2230750, 0xf6bfe72a, 0x7b53e2c9, 0x5b0e8732, 0x99a0d93d, 0x492f363e, 0x212c69bf, 0xddab7a51,
+    0x5fdee42b, 0xd6632a9d, 0x26e362f7, 0xccf13806, 0x9cda261d, 0x96028b76, 0x4f41cf01, 0x5f747d39,
+    0x6dce126a, 0x9f26f493, 0xde89fb01, 0xa5ceba35, 0x89583f68, 0x40591afa, 0xd38d6820, 0xdeb5b032,
+    0xdbc94138, 0xea61303f, 0x3eef899f, 0x2566a1da, 0x50a19c6e, 0x38e90125, 0x2e68d9bd, 0x9b630ddf,
+    0xaeeb30d0, 0x59ad4e68, 0xc6046cc1, 0x5c5b3e64, 0xcde68c87, 0xea4b2d49, 0x964315c1, 0x168e4449,
+    0x200b0fcb, 0xab25b95a, 0xca5b793a, 0x5a59faa1, 0xda344aa8, 0x20257644, 0x8aef5f55, 0x3f4c0a33,
+    0x5bc67161, 0xa4973d61, 0x91537e9f, 0xc3d65e9e, 0xc24c564e, 0x207e1b98, 0xae72ca5c, 0x9ba95b8b,
+    0x5c0c5f21, 0x8c736536, 0x521d7d23, 0xbaf18596, 0xda8a473c, 0x3fe9c78d, 0xe948d471, 0x0debc708,
+    0x22b0350c, 0x7ccf6f6c, 0xbaabf40d, 0xebb051f5, 0x98ffb52c, 0xa1349495, 0xb0dbdb24, 0xf682e6f7,
+    0x84d525b5, 0x462a5ef0, 0x79f1d01d, 0x6ca7aa39, 0x65bcc52e, 0x2609a542, 0xf946c3d9, 0xf4b3b5c5,
+    0xa00411f2, 0xa04f6d4c, 0x15318eb9, 0xbdac27ff, 0x2ef8a487, 0xa77d2185, 0x07085baf, 0xecaf7d63,
+    0x13ea060a, 0xc693898c, 0x45af19b0, 0xfae972c4, 0x6442eae3, 0x8355d096, 0x343eda7a, 0x9a3e2de0,
+    0x24e1e67a, 0x4576923c, 0x5657bf36, 0x84550d67, 0x48a025fd, 0xe62579ab, 0xe3718120, 0xad3dd962,
+    0xa98beaa3, 0x893226dd, 0xb7e7ad8a, 0xc8355b92, 0x889dd274, 0xfd8e8a76, 0xe7aa7aa6, 0x44c6e4d5,
+    0xe5d19958, 0x347d8fba, 0x16b9c7dc, 0x2b42c687, 0xe9e0ee01, 0x5fe9ed91, 0x0e5cda20, 0x08d2b911,
+    0xd08dfbc1, 0x7103fda6, 0x48864e77, 0x16e5d3cd, 0x95403fc9, 0xf0e5594f, 0xc64381c0, 0xaced478d,
+    0xf742e5d1, 0x519b5444, 0xab7b5261, 0x271106bf, 0x36762c32, 0x1de94fae, 0xaa07f5c0, 0xa91aa020,
+    0x96af05fc, 0x2b4f1d96, 0x3e9862c7, 0x1a3c1daa, 0x9208c0bd, 0xc30400a9, 0x1fddd5da, 0x17b6a256,
+    0x4e4c95b4, 0x165c8ba7, 0xf9347757, 0x6eef002f, 0x687ee517, 0x83b33a9e, 0x660f44c6, 0x31659419,
+    0x505addde, 0xcdeded0c, 0x65bf3387, 0x6319044b, 0x9e6eec6b, 0x4778a5e8, 0xfcb603eb, 0xbfbc76ab,
+    0xc9964d96, 0x10800a6d, 0x93776c17, 0xfd7c1168, 0xf575ce57, 0xd4fb2c29, 0x8398ea46, 0x0c584df4,
+    0x514882a6, 0x394e7a8c, 0x6613dc68, 0x793ecf44, 0x25ed3801, 0x9490bc09, 0x898d03b5, 0xff2de8b7,
+    0x207a1b3b, 0x6874e739, 0x1ed4384b, 0x0a7d3e99, 0x481d15c2, 0x665044d2, 0xfa96d501, 0x1c567fd6,
+    0x7ae930cb, 0x128591ca, 0xe4b8f51a, 0xf9b17fc4, 0x8bbb8875, 0x2d311bd8, 0x1418001c, 0xe62e77c9,
+    0xa1705e5a, 0xadbda38c, 0xaa404d63, 0xc7b3ec3c, 0xcbef1f00, 0xf9f23f8b, 0x41afc3f5, 0xb6d0285d,
+    0x52bfd03f, 0x2bbd7752, 0x325c34cc, 0xa4335823, 0x80003c3c, 0xf26400ae, 0x3d52dd20, 0x06fb67f1,
+    0xad8aaaa2, 0xc443dda8, 0x405ea7a3, 0xff3ad7e2, 0xac71e369, 0x5c71b8a6, 0xf9b562f6, 0x199874f4,
+    0x7d4b3c73, 0xa32d9e4d, 0x81c598a3, 0x5506099f, 0x9e3bc755, 0x71cdc980, 0xe5e9229a, 0x9f11f2fb,
+    0xda06abc7, 0xfc67d94c, 0x7b90b6b3, 0x98c5622b, 0x251741d2, 0xb756c834, 0x7bbd4b29, 0x599b6f7b,
+    0x39771c9d, 0xe7ae30b6, 0x73cc0cc3, 0xf142bb72, 0x5e91d7c6, 0x478a173d, 0xbeda7b98, 0xa09f6c72,
+    0x13b73259, 0xf3095c42, 0x8c15d119, 0xac86e7fb, 0xaefa3688, 0x489534ec, 0xa5e77f2d, 0x72067452,
+    0x721c5c14, 0xc8f3880d, 0x09b30037, 0x893a7e58, 0x01bc4ae5, 0xfd0e20da, 0x552273de, 0x2341425a,
+    0xe9080518, 0x1f87889a, 0xe8a111d0, 0xbfbdec3b, 0x393e18fd, 0x9a4caa33, 0x02b8ce71, 0xb697e0a1,
+    0x00000000,
+    0x4173c2cd, 0x48db5640, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         14474011154664524427946373126085988481658748083205070504932198000989141204992 */
+  { 0x00000000,
+    0x1e077cbe, 0x7a15f868, 0x1f3b6aa8, 0x129d9cb6, 0x8a02f1ad, 0x40e977f1, 0x030b2216, 0x6c2ffec4,
+    0xdd7cab8a, 0x6c39005e, 0xb7b6a9b2, 0xf62099bd, 0x9146a61d, 0xfc5f870f, 0x23e95571, 0xad457ee2,
+    0x27585930, 0xb6870def, 0xd60e828d, 0x1f6a4c6d, 0xa1c72e5e, 0xdc8a83e5, 0x1ef44fa0, 0xb359bb08,
+    0x39199b24, 0x3ad374d9, 0x30b6c932, 0x974e5897, 0x6787f6c4, 0x104eb75d, 0x67449935, 0xed58adef,
+    0x1bd73f41, 0xd27d7a96, 0xfb836c15, 0xa624bc53, 0x05097218, 0xae9ac2f3, 0x1bdc5a03, 0x72ae69f9,
+    0x950284c0, 0xac358113, 0x349d9eda, 0xb8ed8fae, 0x4d09e9e1, 0x4920d009, 0xcb3050c7, 0xc78d663a,
+    0xb10da297, 0xeccd67a6, 0x4a642e6f, 0xf24348b7, 0x28148340, 0xbb21ef24, 0xeca79fb4, 0xf9c0b841,
+    0x864630c5, 0xa840b3cc, 0xbc7ce34c, 0xb65542c7, 0xe2eb3ed3, 0x02bc9c2f, 0x6f1a3edb, 0xa65c924b,
+    0xce55639a, 0x5519afe9, 0x38ce28a5, 0xb12fcb72, 0x35d671ca, 0x126cd04a, 0x852b48db, 0x1749fb94,
+    0xaf36c598, 0xdf22b34e, 0x22c7cb48, 0xc6776084, 0x4fcd1dec, 0x3c3bdbfe, 0x6b6a7f92, 0x229ca18b,
+    0x2141efd5, 0x977b9dfe, 0xe23618a1, 0x3eeca7cf, 0x505b328f, 0x9a99546e, 0xf0b924cc, 0x75071da8,
+    0xd116f34e, 0x4f16f5e9, 0x83f46e54, 0x6f91e592, 0xc85a284f, 0xfc76c708, 0x2b08c891, 0x9362659a,
+    0x89c635ef, 0x7b2bf397, 0x6cbcb13f, 0x00c1f6ad, 0x03b70d0b, 0x301ce233, 0x05aedc10, 0x28bfd58b,
+    0x42ece7ab, 0xb21e8385, 0x006cd9a8, 0x9634ed4f, 0x1efb55a5, 0x93a729bf, 0xc314c424, 0x6e67badc,
+    0x24bed5d6, 0xdb36c2db, 0x728b771a, 0x1714c958, 0x83be9a52, 0xbc46667b, 0xf8928caf, 0xba5b1951,
+    0x0fff4a80, 0x17a4d4be, 0x00b5c3a5, 0x8eb08827, 0x65af7a28, 0x159592d8, 0xf10582e2, 0xfae0a804,
+    0x7104f1f8, 0x6a112385, 0x869310a4, 0xd0d4bcbc, 0x35a36f9d, 0xf948e773, 0xa14581ed, 0xa74b2611,
+    0xb930ac1e, 0x5e6ef1a8, 0xed93bf82, 0xfeb57ed4, 0x95593148, 0xbd235b18, 0x4f3085f8, 0xeba7aa1b,
+    0x3357910c, 0xaee8cdf9, 0xb0bcea69, 0xc8348e78, 0x23d0b6ce, 0x1b36a8e0, 0x6e626fc1, 0xa4ddfefd,
+    0x0e0e9a70, 0xc565a1f3, 0x5dbe9dbb, 0xb6aff934, 0x0e9d0542, 0xde963ca0, 0xb33b6bff, 0xacd469bd,
+    0x99a07def, 0xd05ffba4, 0x5b85e838, 0x77088507, 0xbab2bca5, 0x32f8ba46, 0x40017a91, 0x6a51699e,
+    0x1b5e1035, 0x7561cd20, 0x5a047bd0, 0x90c772c2, 0xdca97da4, 0x0a08483a, 0x31280430, 0xc297baaa,
+    0x954eb3aa, 0xdf8eb00f, 0xc659a6eb, 0x3c121c12, 0x7a8931ee, 0xbcb06e37, 0x41d74a79, 0x6a283bfe,
+    0x79fa86d2, 0x5b8e6100, 0x4410df36, 0x566a363f, 0xd412c0cb, 0x9dfcd591, 0x1d568fe5, 0xd5ada6d1,
+    0xe6be28eb, 0x00ba5381, 0x44f1c1a4, 0xdf33e78b, 0x2e63aeb6, 0x0cf9f46e, 0x3290b337, 0xf7be23f4,
+    0xb2bf460f, 0x6a02947e, 0xff795de2, 0xd6e0acc1, 0x041dece7, 0x59b3693e, 0x3113bac4, 0xa57f6c6b,
+    0xc7e0b4f4, 0x00b0d37f, 0x49acada0, 0x2f9d123e, 0x2dfc8aa5, 0x22265d16, 0x280987c6, 0xd47fa5f0,
+    0x7df0ed93, 0xff3ebc87, 0x5c458148, 0x8e2a8a1a, 0x4d6ff5e6, 0xc0c10d73, 0x184b3e57, 0x0afb8e8e,
+    0xa09bef7d, 0x31a23d77, 0xe18237e0, 0x5e1e4fe2, 0xff7497ea, 0xc6c5555e, 0x194556eb, 0xf2e04ed3,
+    0x73060ece, 0x25650313, 0x5ce7ef66, 0x57c1a860, 0x9308e80b, 0x05dbe6d6, 0xcd2dbe89, 0x308697eb,
+    0xcb9c41b4, 0xaeb801fc, 0xd667f20e, 0xc3b568d0, 0x6b754d1f, 0xa385fb02, 0x7269b360, 0x4f851fe4,
+    0x7174ffb4, 0x1bd2521c, 0x8165f2b9, 0x9808326b, 0xd065f7ba, 0x7ad9bc81, 0x5f29434e, 0xa052cc0f,
+    0x6fd42394, 0x58bded69, 0x1a581cb1, 0x519509e5, 0xd4c1d774, 0xb97fd864, 0x056d843e, 0xda0f454c,
+    0x45b7deca, 0xb60c9195, 0xf885f5e3, 0x6fc28575, 0x41703660, 0x6892cc82, 0x14192476, 0x32b6c84e,
+    0x7e7ed619, 0x3562513c, 0xdeaf9373, 0xadf0cc48, 0x0bdc45c7, 0xc11f9f9a, 0xe2e05a03, 0x2cb45f74,
+    0xc3191072, 0x54f6fceb, 0xb9606dde, 0x4a0df6d7, 0x97bdb2ea, 0xec8e0420, 0x3d0f303f, 0x9a704adc,
+    0xa1aa497f, 0x268bfdfb, 0xcc853264, 0x633b2098, 0xa75628c0, 0xdfcc7598, 0x67b953b1, 0x71375cf1,
+    0xec0df5f5, 0x7537b309, 0x41cc61eb, 0xbe780c48, 0x60dbb9a8, 0x54ba2ca4, 0xc0232431, 0xe7f8872a,
+    0xd45437ed, 0x61f68dcd, 0x1640bafe, 0x3e4b2ca4, 0x5aa55b30, 0x62e14f75, 0x2ee72888, 0x4098ecc9,
+    0xef0931ee, 0x03d21ac4, 0x0c4def86, 0x746591fd, 0xe4418c64, 0xa53edd4d, 0x94183763, 0xa52e7fad,
+    0x02d03267, 0x04c8fb77, 0xf3dbf69a, 0xdff979bb, 0x85580e7c, 0x1bc81143, 0xcdde911d, 0x8fbf8f02,
+    0x764d4b5d, 0xa08f36e1, 0xceb75a03, 0xf2242187, 0xa14d9ced, 0x9b91bcbb, 0xfa89c83b, 0x95acef2e,
+    0x6adc8190, 0xa73bbf93, 0xa42fd3ad, 0xc82aa41c, 0x5972565b, 0x89297a4f, 0x0b24e54f, 0xcc165218,
+    0xd8b91ccd, 0xea0c96cb, 0x2ab66ed5, 0x5f25b61d, 0xd8d2954e, 0xb9ad1a5a, 0x721cf3ad, 0xdcfd8631,
+    0xc5866377, 0x4c96399c, 0xc0a1460c, 0xad783416, 0x382c54a3, 0xeaf2160a, 0x5425c210, 0x6c07ee43,
+    0xe8dc5d64, 0xccdf9ff9, 0xa5cefb19, 0x22dc22e1, 0x5ff9ea3d, 0xbda1a4fd, 0x26179431, 0x4cef3f90,
+    0x2b58600b, 0xe2cbb19f, 0x12dce2d8, 0x944883fe, 0x4be33b70, 0xb7a8422a, 0x2e23fb54, 0xbdf68f2a,
+    0xfa247816, 0x497d60ee, 0x75d7dc37, 0x8f9181ee, 0x8a5f09fe, 0x49d82446, 0x0681fb38, 0x7168b9aa,
+    0xa0f242d5, 0xa0b82d8e, 0x62b047b6, 0xcb99b5a5, 0xc86a30be, 0x5ff264c5, 0xb59e0e50, 0xd7b3322c,
+    0x4978d2a8, 0x1efafba3, 0x8b35c7c0, 0x12cd60f5, 0x22548bf8, 0xde623f67, 0xba4130da, 0x224d7214,
+    0x9f7b852e, 0xa3521ee0, 0x4be6ca42, 0xd836ff25, 0xf0e31587, 0x957218c0, 0x98b6a29b, 0xe0173ff1,
+    0x292a01d7, 0x0036769b, 0x47cfb305, 0x704b77dc, 0x03e2a312, 0xf27a1021, 0xb6e9d6b9, 0x292ce9d5,
+    0x26aeaa37, 0xa1ad1f0f, 0x191c4e87, 0x2a448298, 0x7a2121e5, 0xb4ebc54a, 0x895a622c, 0x3cdbcafb,
+    0x86a3c2be, 0x4c423dcb, 0x99a46388, 0x23a5f8a5, 0x399e991b, 0x24fc52a9, 0xf56b79c8, 0xc7718338,
+    0xaee30095, 0x0ebe0592, 0xc8582c0a, 0x6afc7c1f, 0x53e96839, 0x0b831467, 0xcf619c6e, 0x319beeec,
+    0x282bd9b1, 0xdebc8c51, 0x1506fa50, 0x520de05a, 0x33b895e8, 0x76dc1e2d, 0x0e468a68, 0xf7bb6503,
+    0x16d81ce5, 0x7fd42883, 0x619acc05, 0x2867ce99, 0xd0170f4b, 0x4a50d916, 0x00230f35, 0x433fd44a,
+    0x5039d300, 0xd5f8d11c, 0x9c8700a8, 0x1437c8f9, 0xc95c1eac, 0x7d6bdb3d, 0xe2187f88, 0xbc52f7cc,
+    0x577565e4, 0xb127a685, 0xbc54f90c, 0xc3e90de3, 0x9302dba7, 0xc75dd19d, 0x7b5584c6, 0x47f25eaf,
+    0xbba7ce9b, 0x0c5490c9, 0x876954ae, 0x86877c34, 0x6deb15fb, 0x79eb4e70, 0x25cebffa, 0xbf1158e0,
+    0x21e8cdc5, 0x3fa54c6e, 0x90d46a5c, 0xad3e90f2, 0xe4a6f050, 0x830565fc, 0x91822a18, 0x6968bf7c,
+    0x51e08341, 0x75e7f363, 0x6e1a14f2, 0x4b75885d, 0xf31b6a7e, 0xce295520, 0xe9320449, 0xf77682ec,
+    0x6672824d, 0xff0bd16a, 0x33035eb7, 0x766e7a89, 0x5aac30e2, 0xd2f9d337, 0x443f2ad5, 0x0add8d07,
+    0x769fa0a4, 0x7452e5d1, 0xf3a608d2, 0x584abf17, 0x91a19f25, 0x8fbb1a6c, 0x8621834a, 0x82493c19,
+    0x7957a997, 0x7ed3538a, 0xc9ab6561, 0x95b0bd9a, 0x701eab43, 0x692f1f67, 0x1553d10c, 0x5e5d64e6,
+    0x9f75b1d0, 0xd18fce63, 0x8de39dfd, 0x572a2651, 0x7c7eb6c3, 0x08ab6fd8, 0x2af076e5, 0xd5d8cafe,
+    0x6f2271cc, 0x71b7db65, 0xd6a04500, 0x2b7696ae, 0x8ff8e1bf, 0xc071d287, 0x90772c7c, 0x4edd7261,
+    0x7f05dba0, 0xa77a5871, 0x7a5dcebf, 0x3618aad6, 0x8193ad1a, 0xfebadb4e, 0x548504ea, 0xb47b9342,
+    0xd483bfdb, 0x7eb4862b, 0x06e93f68, 0xa7248486, 0x6d7a64dc, 0xbe0f0dc0, 0x0cb1e8ad, 0xac0ce425,
+    0x540da4b5, 0x367e4fda, 0xa86f7d5f, 0x7593d459, 0x0668acc6, 0x6d8ea4f1, 0x6df25b76, 0x6129fc0e,
+    0xcb7fec6b, 0x94310b82, 0x11365518, 0x22c9777e, 0x3e113996, 0xba048903, 0xc6ed9426, 0x59ae262b,
+    0xa428ca76, 0x8d626dbb, 0x7b69c6f7, 0xc74a26f2, 0x694eb6be, 0xd16e9b74, 0xa9cba736, 0x47d73149,
+    0x0af9471e, 0xb7252291, 0xc5c4f98c, 0xa06d5e0f, 0xf0fb09f1, 0x05a372e2, 0xcf31d1f9, 0xf17a2abf,
+    0x2e1a4e62, 0x6787a248, 0xdbb55d24, 0x1e3b168c, 0xd5bb63e1, 0xa5bffc23, 0x3be04b22, 0x004a991c,
+    0xb8a7f71d, 0x80fe4bb2, 0x63aa0b96, 0xe8c1d96a, 0xaa93a5e0, 0xedd7c57f, 0xbb6f0edc, 0xfc14888a,
+    0x767e07e3, 0xcb44d872, 0xa1768136, 0x0f13c90f, 0xa4ac993b, 0xee03501c, 0x182c8eb9, 0x5822f54a,
+    0x699ee52c, 0x55a9400d, 0x77499ad8, 0xe15b3d86, 0xd967985b, 0xa08297df, 0x196bf2ca, 0x9af648cd,
+    0x5ad91744, 0xdba6ba2b, 0x2594d5ce, 0x751921e2, 0x319cec0e, 0x259f500b, 0xcbbc2065, 0x258561af,
+    0xe3abed61, 0x0cd6c7ef, 0xa5285560, 0xb2b63dfb, 0xb920f528, 0x036b1707, 0x3f1a6726, 0x8cf4eabf,
+    0xebbfa6a6, 0xb18c4160, 0xdc84652e, 0xc58ed6ad, 0xc9bfc01d, 0x40df238b, 0x37560921, 0x155f5a48,
+    0x41380128, 0x81a4f0d5, 0xcd93b1f2, 0xbf38ee99, 0xce6c4897, 0xc584d72d, 0x2aabaf11, 0x6eebfb06,
+    0x2afd535d, 0xd5f60a41, 0x392335a4, 0xe80a31f8, 0xa4e813f7, 0xb2b35a70, 0x6d4835a5, 0x1a9a0ebb,
+    0x1a969608, 0x4839ece1, 0x8dad71a9, 0xe505eefb, 0x14d4331a, 0x4f99c31b, 0xe7fd8084, 0x168666d5,
+    0x82ace1fd, 0xee6c2cb3, 0x5c45516e, 0x608eb367, 0xb9cba3e0, 0x433aadbb, 0x055a2447, 0x0f9aebd7,
+    0xf6c87dc6, 0x44a2c145, 0x2159dd77, 0x95d6b343, 0xf4e48ccc, 0x59f698f8, 0x020814ab, 0xbc2f4e96,
+    0xa01bea97, 0x70a6a6b3, 0x590af93f, 0x950ba272, 0xce2c27c2, 0x648f848e, 0xa393aa21, 0xefb47824,
+    0x91c726ff, 0xf9bf1df0, 0x3c87b887, 0xe5c6e6ec, 0xf35e5904, 0xa7cd0b89, 0xa7d13625, 0xbd185804,
+    0x45802c4f, 0x98420567, 0xcafc3ad2, 0x09987e6b, 0xb7551759, 0x4caa612b, 0x01271547, 0x0be15319,
+    0x0f5e9bad, 0xb1b353f5, 0xffe2bbac, 0x71ceda10, 0x1016525d, 0x52d60834, 0xc3ce9147, 0xafd3287d,
+    0xb3c2a7b4, 0xe66fdc3a, 0x34628fbd, 0xafb3cede, 0x41eee986, 0xd43f8f78, 0x471e987a, 0x13257445,
+    0xdadf1991, 0xb6d20eef, 0x89d46014, 0x01ef7fcb, 0x52bd6e28, 0x211a3ede, 0x126d886f, 0x715a02af,
+    0x76ee4000, 0x07c075f4, 0xd68c91f4, 0x916573ce, 0x55d383e2, 0xe101f4e2, 0xf2f73b1a, 0xce16a6cb,
+    0x3da6bde7, 0x3f314acb, 0x3366e9ef, 0xfc53c3a7, 0xfe5862ee, 0xba18a49b, 0xd7f21399, 0x967d3941,
+    0x32ed72fe, 0xd4c5a0b9, 0x849a8d50, 0xa397aaf3, 0xbe691e91, 0x6b0d45ca, 0xa21d4983, 0x06f56e64,
+    0xd5b2d691, 0x1e0e2566, 0xa3f6ac6c, 0xac4331ab, 0x606b900c, 0xae5cb57a, 0x11b55368, 0x2f5cffb1,
+    0x3c72feaf, 0x8e07b24c, 0xbe4ed65c, 0xa6be598f, 0x0e359c88, 0xb24b5728, 0x1bbd323e, 0xd1a59406,
+    0x4f900b8a, 0xa8079054, 0x71776323, 0x60da0c74, 0x0e3509ff, 0x010f7a6f, 0x6bdf0767, 0xb5263682,
+    0x13e5fb23, 0x030a9ebc, 0xc77f9a1c, 0x56c76afc, 0x672dece6, 0x0d22f022, 0x9ad7a299, 0xf3384eb3,
+    0xcb709227, 0x3d727d73, 0x664c70ce, 0x77f61d17, 0x31c51ab3, 0x82bfc55f, 0x306cf668, 0xde757cf2,
+    0x0c6570e5, 0xd6cb207f, 0x9400c0b8, 0x152914fe, 0x129749be, 0xa3d4ec22, 0x9131ac42, 0x130d9046,
+    0x5dc3ae47, 0xabef7a5e, 0xb26e7325, 0xf338bc2b, 0xfabab1f5, 0x6d6c0458, 0x172a7bc4, 0xf3ecc8ff,
+    0xfa462b0f, 0x107d0f95, 0x95b56b86, 0xe6ccdeb3, 0xc4b34e06, 0x7a97c832, 0xd2394671, 0xd42a2bb5,
+    0xe7083967, 0x49015501, 0x02701622, 0xc55285bb, 0x91124859, 0xee2447e7, 0x621bddb0, 0x799c2688,
+    0x268ba9ea, 0xb9cb5b50, 0x3cadee32, 0xa7423500, 0x6fa97b0f, 0x0ff59f8a, 0xc05a4023, 0x10afef7e,
+    0xfb34ca67, 0xb1555774, 0x22dcd513, 0xdc1d48f9, 0x8677d120, 0x20d56310, 0x7d9b2176, 0xf60935f6,
+    0xed18fb49, 0x35ca696b, 0xb7db439e, 0xe9182d54, 0x780147c8, 0x1fe09ce9, 0x6cca6832, 0xf04cdfa2,
+    0xfebefb0a, 0x5de2f43e, 0x27975c90, 0x0b6ac755, 0x0df3b380, 0x2ab22acf, 0xf365d96f, 0x7aa2cee0,
+    0x2c704860, 0x3c1d41ec, 0x8cbcd38e, 0xf7789f4e, 0x8022e63d, 0x29f4b12b, 0xd0011e83, 0x23f99d8f,
+    0x25956bcf, 0xef9d7435, 0x55bbe628, 0xa62a8900, 0xb12ea0ed, 0xd5819444, 0x4167aa6a, 0x590617d1,
+    0x51801c11, 0x409918f2, 0xcce7114c, 0x6a774c2d, 0xd3e2b076, 0x70b96825, 0x273fb40d, 0xa729c9b5,
+    0xc7da687a, 0x0f570f38, 0xcc1ca351, 0xe1fe8a68, 0xee22634e, 0xb7828d78, 0xc22f9608, 0xebb5d874,
+    0x049a71f5, 0x8a468480, 0xf489acc3, 0x0cb4bd92, 0xfbc4c3e0, 0xac4de699, 0xebdb636f, 0x39d1adab,
+    0xcdf5a64a, 0x87514774, 0xff0b30bc, 0xb9ed6dc4, 0x9e9c97cd, 0x3780953f, 0xb815d7b6, 0xd1f36cf0,
+    0x054189bd, 0xec2b7999, 0x786a4bd3, 0xd4815942, 0x992554b0, 0x201a0745, 0x06aa1d84, 0x487d1304,
+    0xe75beb00, 0x2ac3fc49, 0xd5908fad, 0x9efb4962, 0x41f0b7f5, 0x5d37ba51, 0x161fef91, 0x571b3807,
+    0xc94a08d1, 0x21105d5a, 0xdb8f62d3, 0xca3061a6, 0x1b64b5ec, 0x930288f1, 0x3ea6e03c, 0x855e0e3d,
+    0x4dc24fb3, 0xbced17ca, 0x4a032db8, 0xf0ef76ff, 0x4080a368, 0x0f3e6d20, 0x62ebf7bb, 0xdcda040a,
+    0x50981488, 0xae8d8b80, 0x8155313f, 0x4e04cf54, 0x224accd4, 0x693ed6ab, 0xbf08acd2, 0x831cb699,
+    0x4599dcc0, 0xaacbc22e, 0xc60831fd, 0x2142a7b8, 0x18bd9978, 0xda2feb92, 0x30a00c0f, 0xaf37639d,
+    0x8975f6ad, 0xe653dc79, 0x8a3a61c1, 0xcf8ff5cd, 0xff6992e3, 0x132b9ca8, 0xde6c3fa1, 0xbdc46826,
+    0xc312d4b1, 0x17c953e8, 0x393e7768, 0xa340e713, 0xcbc3edc9, 0x92b19b46, 0x550c3eda, 0x34355622,
+    0xd93dc19d, 0x3db9d724, 0x65255751, 0x435b842b, 0x174f5166, 0x4011743d, 0x0f0dc388, 0x7bdcaf41,
+    0xeeb90eea, 0xd1b6b5fd, 0x86a70f1d, 0xc3b0493b, 0xce837007, 0xe1fccfd8, 0x4e17e77f, 0x8d1820fa,
+    0x220bcc63, 0xf7c79f54, 0x15c42503, 0x65be7324, 0x89b76b72, 0x756b49e3, 0x2c82cabf, 0x6966c80c,
+    0x309bfce6, 0x9b8d944a, 0xa00c9b55, 0x148fcce7, 0xc78a6668, 0x5b4a29ef, 0x34fbc634, 0x0fb7911e,
+    0x181fb3bc, 0xf0d66dbb, 0x633865e0, 0xf3ad532e, 0x3fe69da9, 0x487e5d20, 0x1d3628ab, 0x98e0fb72,
+    0x00000000,
+    0x20b9e166, 0xa46dab20, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         7237005577332262213973186563042994240829374041602535252466099000494570602496 */
+  { 0x00000000,
+    0x291596a9, 0xd5b60f14, 0x090169b2, 0x641baf28, 0x037d2cd1, 0x74c3358d, 0xfe6edc62, 0x2b6509b8,
+    0xa5685547, 0xf8cc7a8d, 0x34b367cc, 0x78441f71, 0x052feed1, 0x23c70ce5, 0x4d1878a6, 0x64abe267,
+    0x441f2fe5, 0x162505ab, 0x87d23637, 0x4f141f4c, 0xcdc8e14f, 0xaee5315b, 0xecfbed69, 0x89b9d144,
+    0x8b761d71, 0xa930d445, 0xd32ce6f5, 0xad57e35c, 0xc0c64bb3, 0x00115f08, 0x3a2c2134, 0xcf857815,
+    0xe94aa343, 0xd08a8760, 0xd92265b4, 0xb3fa5568, 0xe1a5b179, 0xf276736a, 0x688d9a56, 0xb76a584b,
+    0x5a93fe63, 0xa375c115, 0xd1e8318f, 0xd44aa5cd, 0x9a62b82f, 0x3ee36010, 0x1cf04410, 0x8cb95330,
+    0x58b10fff, 0x867dac33, 0xf363ca06, 0x167d7412, 0x899f91bc, 0x6e63b2ae, 0xd54e2a49, 0x92c22e41,
+    0x0a95a824, 0xbb4dbe63, 0xb4078f33, 0x607c7163, 0x105f3452, 0x10d3ea91, 0x676669ee, 0xc82c0b79,
+    0xd4e750ed, 0x6930e587, 0x6465c585, 0xbc832d9e, 0x83c0e12c, 0x83445e21, 0xb38ea6b8, 0x3531352c,
+    0x67c71884, 0x00894098, 0x77286f61, 0x3f303811, 0xe4c4c579, 0x52454be7, 0x35bfc1c6, 0x1b013100,
+    0x6717ba27, 0x00e21f16, 0xe3474861, 0x74cd866a, 0x3f14314c, 0xa71cc271, 0x58bb1804, 0x9b979490,
+    0xc4d5c963, 0x1d392832, 0x04181f1c, 0x4f44afe8, 0x6e8b3a66, 0x53cf3c1d, 0x7dccef75, 0x1c9e9fbd,
+    0x8e495585, 0x0c6a235b, 0x602a00f3, 0x12fe87dd, 0xc7cf6743, 0x5ec2e3ab, 0x41e21568, 0x38f6fa3a,
+    0x8517eb95, 0x14b1cd77, 0x8b085ff1, 0xd811d76d, 0xdd50045d, 0xc4f91573, 0x33d51c3e, 0x2ab11ca1,
+    0xdb197f3c, 0x8e7664e3, 0x240f0e6e, 0xb8fb76e4, 0x7f118839, 0x237cc731, 0x757ed188, 0xd435fab1,
+    0x52aece31, 0xc65c26b2, 0xa9402cb9, 0x255a7945, 0x4b49b0af, 0x56d43cd3, 0x6511bc97, 0x2b6d25a2,
+    0x2b066b03, 0xd71e8e40, 0x75af7190, 0x06f92f56, 0xe8cb6f2c, 0xa8d65654, 0xbd821c40, 0x4ae3a8eb,
+    0x77787f67, 0x1fb883f5, 0x5c6dc2b0, 0x533f3a4c, 0x0dc911c6, 0xb563fa7e, 0xea4e6869, 0xa38204d7,
+    0xe51fdbbb, 0xc2896590, 0xc42f494d, 0xacaad681, 0xccffbf4c, 0x7c737713, 0xb86a8d21, 0x543d52ba,
+    0x0a4fc93a, 0x88e3646d, 0xba36f6d1, 0xa657a296, 0x2f8e6666, 0xe3c3bcc8, 0x1ea9a319, 0x6c183d63,
+    0xec28526c, 0x4642d212, 0xb4eedbd4, 0x2ad5a083, 0x80b2c598, 0xf3de5dad, 0xb33a46fa, 0x75df21f2,
+    0xd080e6f5, 0x2977147c, 0xc802eae9, 0xbf653600, 0x46346e56, 0x64adfddd, 0xb91d8fbe, 0xf46d9f86,
+    0x96a613c0, 0xd75821b3, 0xf3569694, 0xd15a6409, 0x270dfaeb, 0xdc8d08f8, 0x659065a6, 0x6b6deb01,
+    0x3b97ec59, 0xb56bcc30, 0x16285178, 0x8fbf5230, 0x79490c4e, 0xd0d0e756, 0xccc9f836, 0x7d2d6e70,
+    0xb0c2294a, 0x6c03e232, 0x8226af0d, 0x9402ff14, 0xa7566f05, 0xfea3fcb6, 0xec3112d5, 0xb9a624a5,
+    0xc220ad0f, 0xdef38ec0, 0x3119c59a, 0x8477007f, 0xb98a4d6d, 0x08448377, 0x0eeabe07, 0x1ec15b04,
+    0xe13a7ddf, 0x98ccfaac, 0x3f40694d, 0xa2546035, 0x9bc9db2a, 0xa49af6df, 0xd5685c8f, 0x190997dc,
+    0x2efae33c, 0x46780a74, 0xda38b833, 0x16898692, 0x21936cdb, 0x4db2b8db, 0x23b2e417, 0x7306445a,
+    0xd9c52842, 0xc3b6349a, 0x34da0495, 0x57ab4e13, 0x8752b7b8, 0x3eef2edb, 0xb7fd80ee, 0x25c52e96,
+    0xc1e84751, 0xee09a4ca, 0x0f3e68ea, 0xbd176c92, 0x63f23df1, 0x3d79fba5, 0x9980cd86, 0x57a1b690,
+    0x978f8e51, 0x38ec019d, 0xa8523f4b, 0xd4e16a59, 0x37f21f03, 0x0c3531a2, 0x56f19faf, 0x6ef15740,
+    0x9baf4d1f, 0x9b89a844, 0x040f5ecc, 0x8f5ea30c, 0x723da80d, 0x0282e673, 0xbf6f29df, 0x42505794,
+    0xe97d12f6, 0xf43a2e82, 0x19c264e9, 0x96dbe4b6, 0x3180d4a0, 0x6073ceea, 0xf8292bbc, 0xf98e4574,
+    0xda8bb7f3, 0xcfd1719d, 0x3bbc1ae5, 0x36d47668, 0xb457b81a, 0xe2f23e4b, 0x9386b6c5, 0x33c39d75,
+    0xd56f7ad4, 0xfa1e5f74, 0x698b008a, 0x7327de57, 0x66e57ec6, 0x0697c228, 0x0cece4c7, 0xfa0609d8,
+    0x6b50f60c, 0xc8fa2310, 0x0b1229fd, 0x7dd145a3, 0x5233b8fb, 0x256ce55d, 0x7d4535ab, 0xb4915df4,
+    0xb32f029b, 0xc7f83903, 0x264243c9, 0x25beb92e, 0xd58940ee, 0xd1f10874, 0xc5841257, 0x45195f8b,
+    0x3960fa01, 0x5fd60a15, 0x51afebfe, 0x70f1f30c, 0x07da784e, 0x00730d94, 0x33f4b709, 0x87a4524b,
+    0x4a2febdc, 0x651762d1, 0x82a6a5bc, 0xa11a9928, 0x220b9da0, 0x1fb41a67, 0x2286b217, 0xe86aab7e,
+    0x53e621d8, 0xb336b183, 0x9405aefe, 0x6203a4fa, 0x94cb2892, 0x081fd2e6, 0xbcac106a, 0x3af363f1,
+    0x216f011e, 0xa12344cd, 0x11de7942, 0xf4bbba86, 0x7dccdad6, 0xcab8b5b0, 0xda7de1d6, 0xec376b2c,
+    0x37fd17e5, 0x175a11aa, 0x7067b79d, 0x111b57e0, 0x8c94860b, 0xe2826b0a, 0x7a6bc871, 0xf6ccbcc8,
+    0x7bbda6a0, 0x64938f29, 0x1db5eb8b, 0x982e70ed, 0xa248a880, 0x312b57fe, 0xfc9c9604, 0xf2fc65d0,
+    0x8159a983, 0xd546371a, 0x4cbb21a7, 0xe66af43e, 0x2ff45ccf, 0xa9811176, 0x8c961935, 0xd1b0f924,
+    0xa21e3f55, 0x04ce1a80, 0xa2d62be9, 0x5ab69473, 0xdbfb61ed, 0x700dcd28, 0x21b6b051, 0xaebf4bf6,
+    0xbad3697b, 0xf36d9e3d, 0xaf2a0001, 0x286e5e7f, 0xeb53710e, 0x8f60e132, 0xe9e260d1, 0x0188f4f3,
+    0xf633d013, 0x254440e1, 0xf6c36011, 0xe4d40de0, 0x9c982ef3, 0xa2d09120, 0xda7c8a99, 0x848bbfc6,
+    0x263d57df, 0x06785584, 0xd828d9e3, 0xe80c2784, 0x7162d659, 0xe86dbe3a, 0x288659b3, 0x9554c54c,
+    0xd26c410b, 0x79796644, 0x2fe928b0, 0xf45ee163, 0xd3dee219, 0x0c64a541, 0x28963ead, 0x67f844dd,
+    0xc6527efb, 0x417350b1, 0xf1086d6c, 0x793b0529, 0xe334ac89, 0x20ee0b33, 0x8c456e73, 0x8e98fe13,
+    0x4cceb7fa, 0x4436b53e, 0xffcf77f9, 0x54583086, 0x38ee8f95, 0xa1067ec1, 0xa929777a, 0x19ba4a4a,
+    0xc2b59f76, 0x8e27e20c, 0xf30753f3, 0x6c3b3184, 0xcdcda65f, 0x30f489e8, 0x730dac73, 0x55d8b45e,
+    0x9807e21d, 0xac75866f, 0x9c40d933, 0x2bee437b, 0x1913a120, 0x92f8891b, 0xba22f14f, 0x5a7e98f1,
+    0xfe724f80, 0x07990cb4, 0x950b4c88, 0x33283abc, 0xb9c5f631, 0xf0ca3f45, 0x5ed61172, 0x0d105d08,
+    0xcd7a48b0, 0xd6348a25, 0xfe921e58, 0x242dbd35, 0xa4dbf4d4, 0x55afc161, 0x10f7299d, 0xc50d6491,
+    0xa824a40f, 0x58cd73c9, 0x423661ba, 0x6b56fe53, 0xddef21e1, 0x963b153a, 0x12fa62a1, 0x39adaead,
+    0xc78ab6a4, 0x4440b653, 0x73436bf1, 0xdfaa50b2, 0xaf4291ae, 0x1a0f7a27, 0x98fad83e, 0xe5c2bea9,
+    0x0f626d39, 0x697394b4, 0x793f3843, 0xe01119ac, 0x763455a2, 0x508ee1da, 0x2c0a8ae1, 0x4218ec85,
+    0x083792ea, 0x5ed42b86, 0xc39cf3b9, 0x3ccf4ef4, 0xd69e8b76, 0x1b5fa1e5, 0x4b4da17f, 0xb9222747,
+    0x1522d481, 0x66a12462, 0x2df2dbc7, 0x51f599fc, 0x2d00dd60, 0x61cf3172, 0x472263ca, 0x708c176b,
+    0x29c4f85d, 0xe36a5fea, 0xa144ef42, 0x52ec582f, 0x668584ba, 0x9d9613be, 0x4c2cacc3, 0xfcd65299,
+    0xf9f427c7, 0x00b0ebc8, 0xc32e4d15, 0xaf4f9bcb, 0x7cfeabac, 0x7c569212, 0x39c4fd11, 0x2725d10b,
+    0xad8e31eb, 0x37ca9fdc, 0xfcb47c92, 0x7cdd5b7b, 0xcfa44094, 0x608cbd28, 0x3c32b959, 0xe8091f0f,
+    0xa07271bf, 0x519a849d, 0x33dfaf99, 0xaf019b5d, 0x9628a4c5, 0xc6fa8d84, 0x0479fbd3, 0xb92dad93,
+    0x58ef8d3d, 0x670016a2, 0xb8b7bda1, 0x84f13849, 0xf150a1b0, 0x2cedb2fb, 0x119471fc, 0x9596baf2,
+    0x26c694b9, 0x3d664fc1, 0x1c706fdc, 0xf6a3b3cd, 0x5f677b8e, 0x56b2d18a, 0xba494efc, 0x1566c4ed,
+    0xcc656446, 0xbdb9a314, 0x102d11ff, 0x93e2300d, 0x1b71ab0f, 0x4e7d5dec, 0x49cfe484, 0xe3a88420,
+    0xb3a8431c, 0x590b32ae, 0xed87e44f, 0x148a87a3, 0x4c62d5c5, 0xf2c78080, 0x4f497412, 0x30aa84e0,
+    0xa17efb40, 0xbe11c779, 0x1676dd55, 0x5bdbc2b9, 0x1831af20, 0xc6396630, 0x2adfd7c0, 0x7da1fbfd,
+    0x3da65473, 0xa39b3d3c, 0xadd69d05, 0x3574539b, 0x98a5f84f, 0x72d3e526, 0x76e9bf83, 0x820627cc,
+    0xc6292515, 0xe8958367, 0xcebc5056, 0x463e637c, 0x8eef1756, 0x75b34bf6, 0x64b84520, 0x2ee4a73a,
+    0x09c82b3a, 0xc29c11d2, 0x793c22cd, 0x92489ade, 0xe1eb84a8, 0x24da933e, 0x18de60d5, 0xf815addb,
+    0xbec1f00b, 0xc758af1d, 0x4c9d805a, 0x66a96b72, 0xf0660584, 0x49800472, 0xa9fad00d, 0x950dbcaf,
+    0xe86c2039, 0x10558a02, 0x54b18d3f, 0x303a6d5c, 0x74acd91e, 0x5d96794a, 0x0956430a, 0x061ed90f,
+    0xfcde5bf3, 0x3db70ca3, 0x1ee9eaf6, 0xeab5a59f, 0x90e1a871, 0x601af0da, 0x0de96a2d, 0xd2f2c366,
+    0x571d2a63, 0x8c8c061f, 0x2c01f288, 0xa1e6fd62, 0xcc550a97, 0x1e5a8a4d, 0x55b4572b, 0x65645e1b,
+    0x47054c7a, 0x4ec1205d, 0x48a2213f, 0x1e7ef889, 0xfdc59e55, 0xf1e66fc0, 0xb625ba70, 0x219ad513,
+    0x55ebaaea, 0xc84b16f4, 0x39c79400, 0xdcb92e5c, 0x67ecab6f, 0x947ffc50, 0x0306b006, 0x5da14eed,
+    0x32b9b410, 0xad03dad9, 0x1f02aa83, 0xc7b82327, 0xc70333cd, 0xf831aed9, 0x7edfbd00, 0x61bfcc72,
+    0x7392a560, 0x4af03697, 0x55c07788, 0x8c2db8fb, 0x0489a250, 0xc695e952, 0x5df6aadb, 0xab466c9f,
+    0x7c0d7f5f, 0xb02eaa6b, 0xcd331332, 0x1d71eba0, 0xc72c5e10, 0x4a5a763c, 0x8fdf98de, 0xb97e733a,
+    0x3cbe7122, 0xe01b201a, 0xcf4787dc, 0xc4dbe1e6, 0x9938fa99, 0x0595d1e2, 0xaa4f034b, 0x418e53ad,
+    0x730ee1d6, 0xc238b433, 0xd3de37fb, 0xaf348505, 0xe0790d5d, 0x064993db, 0x6b0c2a62, 0x7329723e,
+    0xb5e896fb, 0x4cfa58be, 0x8d0177be, 0x3866fd38, 0xe5fb1497, 0x6e9cb44e, 0xe7edf8dd, 0xe54d7fb0,
+    0xfcc57198, 0x834d5b47, 0x61d2b2f5, 0x6446ff33, 0x53364b77, 0xda5ddcd9, 0x536a13c5, 0x90366609,
+    0x8a15be96, 0x8b84a653, 0xa0a95173, 0x3216e9f6, 0x52e5b8bb, 0xc51a723b, 0x658519a3, 0xb7ed5148,
+    0xc457428e, 0x9432ee69, 0xbef180a5, 0x928052b2, 0x4a4e774a, 0x93a5eccb, 0x572d1a87, 0x5ba262e4,
+    0x60804a1e, 0x0c04e1e3, 0x937d81a2, 0x15eb2c50, 0x0721bfa2, 0xccf44387, 0x4c99d552, 0xfc5a0b78,
+    0x4136acd4, 0x73a58ae6, 0x19035660, 0xd66d0d24, 0xbb486e23, 0x47a97cbd, 0x3d4815ff, 0x91173134,
+    0xdf654acf, 0xa1679c81, 0xd0c1d74a, 0x42620723, 0xe9a171e1, 0xa82a423c, 0x3a54148c, 0x182a43bf,
+    0xfa4eeb26, 0x6401ec92, 0x445298e8, 0xe623b28c, 0xa741c7c0, 0xc7457edf, 0x77daca01, 0x83fcaf84,
+    0x060372ab, 0xf1998885, 0xe0ef42f5, 0xfa5db4d6, 0xc1494aeb, 0x7eca97a3, 0x83f5644a, 0x52b02100,
+    0x5fac9bb9, 0xf2ddc40c, 0x392c51d0, 0xbff5db89, 0x8b7ffb34, 0x7545711d, 0x2f23b6fc, 0xd4780d97,
+    0x8dbfb86a, 0xe4bf5bb0, 0x85aada41, 0xdf313254, 0x2442f136, 0x5bd08ed2, 0x4ff996dd, 0xc9eeb9ac,
+    0x53787bd7, 0xfb993045, 0x2843aa9c, 0x3ec9c231, 0xb403d101, 0x86481ffe, 0x753b21e8, 0x52f9efbe,
+    0xceaf75ec, 0x44db712e, 0x89a8c0e2, 0xdcbb5384, 0x1524a812, 0x3ee03b85, 0xf3be16e9, 0x519b7982,
+    0x71917407, 0x45f3e8aa, 0x5ac1a244, 0x55d91651, 0x55d13e79, 0x0ead19d4, 0x66fb13cd, 0xe5f0c5b5,
+    0x2bab9a10, 0x2ba4ab2a, 0x51c1f567, 0xd127505b, 0x860b63ef, 0x324989ae, 0xb9d28a05, 0xdaae8d33,
+    0x844be368, 0x99f53534, 0x9a797c37, 0x97b4ca4b, 0x2cfd63b3, 0x72ee3f44, 0xec9b6aec, 0x7b212a13,
+    0x2d85b42e, 0xef7b31ee, 0x3cf9639f, 0xa8112efb, 0xade09a0f, 0x8811ab87, 0x097d6453, 0xa4c176d4,
+    0x6b78f8c0, 0xc3b71d7b, 0x3b3cba96, 0x5fc2862f, 0xc57d3013, 0x02701ee2, 0x3944b7c4, 0x36e5f942,
+    0x318373f8, 0xe7f6971a, 0x03a71b44, 0x16a7fc69, 0xb14af885, 0x57e2e6c5, 0x5384a2ba, 0xb397ebef,
+    0x13eb141d, 0x2153e641, 0x13b3ddd0, 0x4405c4d0, 0x64186567, 0xbcbd8760, 0xd21229a9, 0x702c3d53,
+    0x4784ad34, 0xdaa7d3de, 0xd03bbdb5, 0x9b81104f, 0x455c2deb, 0x9766aaa4, 0x3bbcb655, 0xbc907c42,
+    0xe2b9e227, 0x916f2258, 0x5b3e5d8e, 0xe03539da, 0x5c4fab2c, 0xe087468c, 0x7a076052, 0x6f01ed08,
+    0x18a99752, 0x08cbcd1a, 0xab35dd30, 0xee0d3cbf, 0xb27787b1, 0xbc2102ad, 0x47a90a78, 0xdb15559a,
+    0x6e78c14a, 0x5480b8e7, 0xb07183ac, 0x3cfcb5d1, 0x4ecc2304, 0x353a1812, 0x6e8b9500, 0x3e7b2b28,
+    0xcd1ccce3, 0x4be1d392, 0x7490e9c0, 0x8468e641, 0x492cdf79, 0x5727e741, 0x418001a6, 0x64127a57,
+    0xddf6ab19, 0x46b94547, 0xe2a37c61, 0x1a439039, 0x6666d204, 0x475974bb, 0x10744c0e, 0x3197b97e,
+    0x75d7af9a, 0xc6f29ad9, 0xcaf5fb85, 0x469a325a, 0x78a178ea, 0x43f09544, 0x97ff2b67, 0x9f32d889,
+    0x57061618, 0xc8853ed9, 0xe7699ab7, 0x097a0fd7, 0x1c5897ba, 0x0d0a522e, 0x182b5ef3, 0xb0ea9d57,
+    0x778fbf19, 0x29ef1dc4, 0x15172bd0, 0x4b4df17e, 0xcc98ad0c, 0x27670a96, 0x5612d1a4, 0xce4b0b12,
+    0xb906a200, 0x5cbf4f07, 0x2cd1c47d, 0x66bbecd2, 0x619b5e0e, 0x040a1a23, 0xa8a460a7, 0x3ec70a2a,
+    0xcee593f7, 0x81a2e6e6, 0x1d00a210, 0xb39b2e64, 0xd2a2f70f, 0x6d95186f, 0xa95b5dc5, 0x68ca2fcf,
+    0x9243045b, 0x7ebac2de, 0x0e3b9643, 0x2c7f6c5b, 0x6435a33c, 0x582ac0ab, 0xd017432f, 0x430a14eb,
+    0xae1c80ed, 0x95a599a9, 0xe4b5891a, 0xd872656d, 0xce6c56f5, 0x25040e15, 0xcc1f799a, 0x6360e437,
+    0x264239c1, 0xb5a1762e, 0x7cb5e9cb, 0x3344d6fa, 0xad56ffe5, 0x1e1ad71b, 0x6585353f, 0x68e01f4a,
+    0xb418178b, 0xb1be4b60, 0x1dfc9207, 0x5b6c3a4f, 0x68de30c3, 0x43adcd13, 0x6352735e, 0xed118d9f,
+    0x3f4e9613, 0x84414218, 0xea621bb9, 0x31b202c5, 0x14121a82, 0x432208b2, 0x1ec2193d, 0xb0e018bc,
+    0x36e9f9cf, 0x3551a25f, 0x5b0af594, 0x7d42e338, 0xeb8abfa1, 0xdad5b6f3, 0xf7c1a786, 0xd9fbeb6d,
+    0xa0eb5aa0, 0x90e83f42, 0x009da652, 0x81ed9196, 0x387ed765, 0xb1fbe2e7, 0xd5467193, 0x847aede3,
+    0xf9307b57, 0x59bdb749, 0x565d2321, 0x4c160c34, 0xa94659c4, 0x62db33fb, 0x48df0d84, 0x69dbbd79,
+    0x39ba1958, 0xe0024f8a, 0xf9508e33, 0x41679f91, 0x3bb82856, 0xdfa732ae, 0x137c5595, 0x6a67d618,
+    0xe2fd38f4, 0xe879a7e7, 0xa0b835b1, 0x3fef52fa, 0xcd89e5b8, 0x43dfe617, 0xb41b26c6, 0xdc4e788d,
+    0x610fc704, 0x1f733d20, 0xc074bd6e, 0x8eb19e22, 0xf120e632, 0x5690f34e, 0xe3f47bf4, 0x0c25a29e,
+    0x1dd19fee, 0x4252f722, 0xa0b3bfe5, 0x06b26f69, 0x7d3d152d, 0x9c17a02d, 0x745a4930, 0xc5d4a826,
+    0x00000000,
+    0x105cf0b2, 0xd236d590, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         3618502788666131106986593281521497120414687020801267626233049500247285301248 */
+  { 0x00000000,
+    0xb9884919, 0x1ac6df2a, 0x7df4938e, 0x101c6e3d, 0xcd9f9b89, 0x768a0216, 0x89ee2e7b, 0x714cc5c6,
+    0xc7d49f41, 0xce7a66c4, 0xc36e9c89, 0xe348aaaf, 0x68ae184e, 0x8dc3adbf, 0x2097aece, 0x9c5530de,
+    0x00831b8a, 0x34a6471e, 0xe56fb27f, 0x8b69190d, 0xc553e22b, 0x142cdcae, 0x18c55e70, 0x235ab6d9,
+    0xc682aa33, 0xee26ac25, 0xc5b6e1a5, 0xc05945ae, 0xad0bdba9, 0x5ad0e8e5, 0x6ad87a03, 0xc27b3102,
+    0x5bf1a01a, 0xed6d7c74, 0x45ce29dd, 0x00e52641, 0xccb7904e, 0x8e7b40a7, 0xf6cbf42e, 0xb1777fce,
+    0x63fb871b, 0xa7723e5f, 0x9b2bdb49, 0x50484b4f, 0xd8812f76, 0x047daabf, 0x53b5b2bf, 0x898213c6,
+    0xaa8ac577, 0x3db123c1, 0x8f848a9a, 0x2510cf64, 0x01266251, 0x488dbf29, 0x72e7d803, 0xfaf7ab06,
+    0xf2fb3cbf, 0xe30ebf23, 0xdcbc5a25, 0x825af4f3, 0x03591e2a, 0x4e08d7a1, 0xabb07c76, 0x1a55d8b9,
+    0xd0efe4dc, 0x1ea779d0, 0x1e07cdb6, 0x1b57fdf4, 0x8f40b58c, 0x5abc5e69, 0x26d2e54e, 0xfbd89b9e,
+    0xae3af6d3, 0xc0070f3a, 0xeb9cbbb0, 0x2ddb7c75, 0x5f0e6fe8, 0x346f85b8, 0x6ec189d9, 0x68692de5,
+    0xa327792c, 0x40d1f718, 0x5274618c, 0xc757e4d7, 0xc426cef6, 0x4f53204a, 0x7eb5c9f4, 0xbafea366,
+    0xfa75f632, 0xe6acfbda, 0x31fc5949, 0xf2a3f114, 0xaee3198c, 0x2e7e266e, 0x02fda311, 0x2fa3f8bc,
+    0x6911c5bf, 0x48600dcb, 0xcc11b9e0, 0x78752f46, 0x0a680146, 0x6e4a3e67, 0x45b39aa3, 0xdfbf4235,
+    0x9d3b40c6, 0x45debafe, 0xa0bf1729, 0xe850b970, 0xbc453507, 0x1282f6ef, 0x78e1d6e7, 0xfc664743,
+    0xcf91c52e, 0x7f4383e4, 0x8b4b43bf, 0x43911cfc, 0x5e8e9c6d, 0x4333e09f, 0xececa825, 0x7602e1ed,
+    0x18cfed95, 0x930339c4, 0x2ef88a5e, 0x88121645, 0x9c911c45, 0x78071c69, 0x370bd081, 0xa48ad596,
+    0x3b2c8010, 0x64d31713, 0xc606d9c7, 0x04f30365, 0x38c72804, 0xf438d961, 0x659b7ca1, 0x4700bd96,
+    0x824e14d8, 0x03014418, 0xc8f746a4, 0x7f784f2f, 0x2c18ab5d, 0x3daa2476, 0xd0643af6, 0xd49cad22,
+    0xa629e2d8, 0x517798bc, 0x87dd431d, 0xf0cdd907, 0xa14dd7ee, 0x56930401, 0x041f41b6, 0x940482ef,
+    0x72feddea, 0xd19a6bef, 0x8f2c3874, 0x48116caa, 0xaaaa680c, 0xe83a6652, 0xce663bdc, 0xf0da0b32,
+    0xc2c60aea, 0xe7d38621, 0xeeed1d39, 0x305d03dc, 0x9684f88e, 0xc2e92478, 0x5d4d3593, 0x6aae9ad0,
+    0x16297891, 0xe654d852, 0x504ef6e7, 0xa0689120, 0xc15b2bb6, 0xec663da3, 0x49402f56, 0x633cbcf3,
+    0xfbc14ac7, 0x817d1439, 0x6793193f, 0xec9495b0, 0x81e9d1f4, 0xfb9d6738, 0xec49404d, 0x5a62ce83,
+    0x1e80336c, 0xb8729703, 0x0b6c1693, 0xbb97946a, 0x9b2270f0, 0x6c4d5185, 0x1373e8d3, 0x08589959,
+    0xd3cca3e4, 0x1d806b8e, 0x87391eaf, 0xa8cbe104, 0xcff8157a, 0x762e35b6, 0x56929a00, 0xfc75752e,
+    0xdd545744, 0xf0c132cf, 0x2eb0b01f, 0xa3c36b37, 0x6796e003, 0xce54bf26, 0x806729f8, 0xb0e48c51,
+    0x98efc256, 0x38d0ceea, 0x900227c7, 0xc1cda309, 0x36043c6f, 0x73bfbe96, 0xdb2da743, 0x7ca62550,
+    0xbd387a2d, 0xa3547cf0, 0x37a672b3, 0x80dc3ee2, 0x61393764, 0x227a031a, 0xfca72e8c, 0x4419c3d2,
+    0xeff7c75d, 0x76a4687f, 0x6e6dd327, 0x72b09b1c, 0xc8b5b237, 0x8ce1d910, 0x611bea53, 0x0a808a4a,
+    0x7bcd17c9, 0xd9013141, 0x5ea6d4a8, 0xd6ea97f9, 0x4b25abe4, 0xc4544bf6, 0x7fea4bbf, 0xd872fc43,
+    0x73e31519, 0xb9ad0984, 0x2717e4ae, 0xf473912c, 0xb14dd37e, 0x4909c301, 0x121cf5c2, 0xe9e43b7d,
+    0x7e8813e2, 0x506abe50, 0xc723a45c, 0x385d03fa, 0x07aadb7c, 0xc0ab735a, 0x75e06341, 0x43be47ea,
+    0x580212bd, 0xe5539ae6, 0x309d2b69, 0x4b4344f8, 0xc339efc9, 0xba9a2841, 0x3b639acf, 0x5c77be29,
+    0x7ae6c57b, 0x8592bcbe, 0x4da50f2a, 0x685102e4, 0x85d6d7d7, 0xf9174609, 0x15564ca3, 0x11e63150,
+    0x8810607b, 0x43071397, 0x11807892, 0x463583bb, 0x045f8e57, 0xd44d4f4b, 0xae843896, 0x14669b66,
+    0xa20495e6, 0xd532da52, 0x244eeedd, 0x4d2c01b5, 0xe9ddcad3, 0x7f37f8ab, 0x4bee7db2, 0xd21f8d36,
+    0xcabe4a3b, 0xb156f1e9, 0x3f8de708, 0x8616d554, 0xbecda055, 0x8f5fcac0, 0x394ff3c0, 0x6e084c8c,
+    0x7783da6d, 0x276b8814, 0x064e912a, 0xf32500a8, 0xf7d4e1ec, 0xc267da32, 0x9d604027, 0x3a7b04a7,
+    0x32aa1704, 0x2e18becf, 0x4bc87e72, 0xc3dd2b7d, 0x1f728a08, 0x449087ac, 0x719b1480, 0x17fbd828,
+    0x5a821c38, 0xd41318a0, 0xaf21fe85, 0xe2a3b980, 0xc38a910d, 0xbe50d27b, 0xf1d3b02d, 0xd4ddc42d,
+    0x6b9eefda, 0x99085f2f, 0x95cb2231, 0xb16135e4, 0x632d1a39, 0x23ff29fa, 0xbc2ab5e3, 0x5bb9ea04,
+    0x327ae543, 0xfa56d33e, 0xb43dc9f7, 0x9bb96fc3, 0x6213e239, 0xa8e293a8, 0x1a016820, 0xd8b5f330,
+    0x2f64c96b, 0x66a8e53a, 0x2e5ea87b, 0x3e1492a6, 0x112b380f, 0x84d02c02, 0x6eae77a4, 0xf27f768b,
+    0x47ee0011, 0x491dbd6b, 0x1f279092, 0x0bbdc70f, 0x413328b5, 0xceb42f12, 0x906076a3, 0xbcf14f0b,
+    0x568b10be, 0x68add623, 0x82eb1f45, 0x425d5859, 0x6e136e8b, 0xbff0f4c1, 0x7ccae076, 0xcd636afa,
+    0xc57f9457, 0xb9b4abeb, 0xdd703044, 0xc6faa729, 0xf6f3da61, 0x9a7a8e9b, 0x8b806e4b, 0xe4c1ebf6,
+    0x576eabde, 0xe2ba5227, 0xec82b107, 0x38c28ee8, 0x31891b09, 0x6293115a, 0xd7f992a6, 0x74ceb1a8,
+    0xe6e2327d, 0x2314a2a1, 0x5f0f505d, 0x39f971cb, 0xd7cb5880, 0x2904965c, 0x5054db47, 0xc74756ff,
+    0x62926fc9, 0x503d7059, 0xddc3a43e, 0x57cb5903, 0x581d8287, 0x48162c0d, 0xdea66067, 0x395e9a47,
+    0xbf3bbadf, 0x821eaae2, 0xec96930e, 0x7d90b9ac, 0x6c3a4b33, 0x4724739e, 0xbaf767d4, 0x4a8efd8c,
+    0x7d1973dd, 0x1e2dcc0f, 0x7c184624, 0x726e1cd0, 0xfc369dbd, 0x04e8ec2f, 0x6841bf58, 0x5ddca71c,
+    0x00307aa1, 0xbfcb0e47, 0x1ff35cc7, 0x4116082e, 0xb514f55b, 0x9eecbf7d, 0xf36c7c49, 0x6d30188d,
+    0xd4d85e88, 0xac202aa6, 0x6e2bac67, 0x722d6302, 0xf623e950, 0xa058fb2d, 0xcfe177b1, 0x15782a4f,
+    0xd3f9e723, 0x5dbd9dd3, 0xd0b72a26, 0x49fbcf37, 0x3214d1d9, 0xa5e9b4f2, 0xddbed89e, 0x3a1c13aa,
+    0xad485757, 0x95b0fbfd, 0x6457ee3c, 0x034da3b3, 0x4dfeba08, 0x6ebdee0b, 0xe21a824b, 0xadbcfa60,
+    0xd307c4b0, 0xc17680d3, 0x4f9de2e9, 0x77e5f5d3, 0x86538f66, 0xf3071c1f, 0xb54fc622, 0x1a9b91d0,
+    0x15c499d9, 0xf4ca5536, 0x2b81ac29, 0x09269f6f, 0x2e439886, 0xb2013be0, 0x2945d7e4, 0xbf3a8763,
+    0x11483307, 0x8b806f13, 0x704aa6d0, 0xe6ee22c3, 0x53ee9ccb, 0x33a0484b, 0x8df00659, 0xa9e40e07,
+    0x4e9156af, 0xb5ec745e, 0xf2b44f04, 0x59bdc930, 0x68dd8603, 0x90798222, 0x90eba3d4, 0x061bb8df,
+    0xaed2f0dd, 0x9bd798c7, 0x3c56e5a1, 0x7fc29502, 0x28d1b309, 0x40cbc12d, 0x56e1b182, 0x72198ac3,
+    0x385af117, 0xc988d3d5, 0xcdca2c1c, 0xcf0f4418, 0x504863b8, 0x4ed0d3a4, 0x6f1456ad, 0x0d9fb31f,
+    0xef75f94c, 0x838ba964, 0x49049150, 0x4d21e057, 0x8cd3c6d9, 0x979128f3, 0x86b81e84, 0x2dbe7a74,
+    0x23a520f8, 0x26b89ba3, 0xd75eb541, 0x111b64eb, 0x72ad6ab2, 0x2ce6affc, 0xbfc57dcf, 0xdc2c582e,
+    0x53a38d44, 0x74e7b7eb, 0x34532845, 0xf9c398d0, 0xdc3a1ab2, 0x1ba3f6b4, 0x43f40c29, 0x21e41563,
+    0x42c7c9d5, 0x510f21ec, 0x3f431af5, 0x33b96aca, 0x5c36df9d, 0x0dae0251, 0x1e5d3419, 0xa83b29b1,
+    0x57930bbf, 0x60a15354, 0x9bc12519, 0x96e414cd, 0x05d78970, 0xddfdc15a, 0x821ba408, 0xbbec4730,
+    0x0e25cc13, 0xf63ba602, 0x5c9bd773, 0xa009cb0b, 0xf47da093, 0x5dcbd9a3, 0x8bd73465, 0x4958dde1,
+    0x7de645e7, 0xc815abc4, 0x43f3fc58, 0xa7a8f05d, 0x161376d3, 0xcdb7a51b, 0x0f538118, 0x7fd3fc8c,
+    0xafa28649, 0x2b37cd5e, 0xc1150d51, 0x33396680, 0xe5bf7765, 0xf32b42da, 0x6fc1205d, 0xacfd789f,
+    0xf738a367, 0xe2081299, 0xb2a4f9d3, 0xb64e1908, 0xa6446558, 0x6df02be5, 0x37213e8a, 0xf219e877,
+    0x95eb7ab4, 0x96060220, 0x879d07c1, 0xde810309, 0xc94e1f81, 0xe6a6e9a5, 0xd8771546, 0x833463db,
+    0x06b7fcb9, 0x15049ae0, 0x5b6764ac, 0xa078af64, 0x712a3424, 0xaacc530a, 0xfc778f35, 0xae4cf754,
+    0x40f2d04b, 0x08a16be1, 0x75dca923, 0x46b1861d, 0x1b18304d, 0xf23503a9, 0x4635d78e, 0x48178640,
+    0x72837355, 0x5a87f72f, 0x24190a8b, 0xe03476f6, 0x53930816, 0xa4d8557e, 0xbd36ddaf, 0xeb056a8b,
+    0x74e621bc, 0x85b4cbb1, 0x395524ae, 0xf485023f, 0x9e225e0b, 0x2d8dae26, 0x941fcbf3, 0x237c7f06,
+    0xc45585b6, 0x3dddccd5, 0xc03ef80b, 0xf3b4365a, 0x71f12a65, 0x5bc9ef5d, 0xdc0cc43e, 0x9afca37b,
+    0xa5686fde, 0xcc67a78a, 0x12401c44, 0x50dd5446, 0x2c1cc8bc, 0x4691bc03, 0x756d1e9b, 0x75076a30,
+    0xe5d5cf6e, 0x5e09ce91, 0xaf2181f1, 0xa9bc2b92, 0xb1cef116, 0x335c1d42, 0x3a21b3a5, 0x6c544bd2,
+    0xfc21c757, 0xecb8a315, 0x0eb95c13, 0xf4d01bd9, 0xb0e675c2, 0x1d7157ae, 0x18660e90, 0x4ddcd2b4,
+    0xd34b5656, 0x192e9896, 0xc6e45e18, 0x960a1cae, 0x76b3f550, 0x1ecb3534, 0x2faff239, 0xbc813988,
+    0x5e3ab1ae, 0xc5eb0d9e, 0x71cb0d42, 0x7cc48279, 0x8be51d23, 0x8d948d58, 0x8e5c7d3a, 0x1d813f02,
+    0xdd1bada1, 0x05ed6419, 0x0467975f, 0xd6d4797e, 0x822ce42a, 0x06926b95, 0x27bcd169, 0x4705d2d6,
+    0x603f02f2, 0xfd4f8e28, 0xc861d7ea, 0xd1aa5849, 0x134834b6, 0x8219f3c1, 0xe31ceab6, 0xbe8d98ff,
+    0xe3a3407a, 0x7c40cbed, 0x25cb1196, 0xf5ff17df, 0x6c695cc1, 0xfd99a933, 0xe6114c11, 0x7896a3e1,
+    0xe492f7a4, 0xad05a98b, 0x187df665, 0x8211e444, 0x742059f3, 0x24a311a5, 0xb2cbf78f, 0x74a07538,
+    0xf2512143, 0xb1ce2f61, 0xb54e513b, 0x0e2d329d, 0x7162ab81, 0x92ffe623, 0xaa43b5f1, 0x2ab2f70b,
+    0xc2a32c56, 0x61882b87, 0x555a3885, 0x7867e6a6, 0xaf0859ff, 0xa4423198, 0xc5730762, 0x20e088e9,
+    0x6ea8e364, 0x25711a76, 0x2dd8cccb, 0x80708e74, 0x7dfcdc79, 0x22276874, 0xe63e72a9, 0x868be1cd,
+    0x62d32e59, 0x6b36c36a, 0x0c063c66, 0xd8b44d28, 0x5edce1d8, 0x0cc97813, 0xd812046f, 0xd20136b4,
+    0x79b71c28, 0x2823b213, 0x63aafb9b, 0x5ce36d29, 0x823e62d6, 0xb1444c71, 0x4b5a3819, 0x4ceb473c,
+    0xabe8f1ac, 0xd80c6ce8, 0x89217b71, 0x472b2786, 0xe95bc3aa, 0xc1ae34fd, 0xb7afc95a, 0xf7a4e19b,
+    0x3173d541, 0x438edbd5, 0xf351294f, 0xbd379da3, 0x1296555b, 0xd56e52bd, 0xcdbcf379, 0x1c2e53c2,
+    0xf27cc75e, 0x46cf1c9c, 0xcd63f946, 0x91d3a376, 0xf60d2cc9, 0x7f07156f, 0xd3587ed4, 0x805e9b44,
+    0x9de0349c, 0xad084f0e, 0x2120272d, 0x9a31f2fe, 0xfa52b6e4, 0xef135e53, 0xeb94a731, 0xe34bf493,
+    0xcf7d6363, 0x23ea511e, 0xabcb0d4a, 0x6eebbc44, 0x707aef14, 0xad560f0b, 0x73254e41, 0x5a82d6cc,
+    0x9bca29ca, 0x948af012, 0x2f115a07, 0x8c6c46bc, 0x2e78c2fe, 0x05831510, 0x3e1d5c15, 0x5c4059d9,
+    0xd6c28ffb, 0x25b298d3, 0x8f2bc37f, 0x4d0ccaae, 0x79dac63d, 0xda5f8af0, 0xad3c64c6, 0x0dae16c3,
+    0x3ad053c7, 0x2100e75f, 0x93a9f5de, 0x7821959b, 0xc22ec1e7, 0xf0c3efa1, 0x508baf8d, 0xf2927749,
+    0x4746b33b, 0x9b3e9e4b, 0xcc321093, 0xb1c4108b, 0x26773026, 0x8b169791, 0x5362b6a5, 0x3d3d58f6,
+    0x6ea60ab4, 0x360380e6, 0x23dbfa7c, 0xac69489b, 0x279854e0, 0x25d7e3fd, 0x7557f586, 0x66518eb5,
+    0xf86decd2, 0xf0b3165f, 0x7c5290e8, 0x8630a072, 0xb6997696, 0x1b8aa7eb, 0x5ea47c51, 0xa792b142,
+    0x5e51d8cb, 0x5418b4a9, 0x7cf46fe2, 0xd4c3dae9, 0xe6829297, 0x9b0ad3b3, 0x8d6b73e3, 0x69366dc3,
+    0xcb3c24b8, 0x62705d2f, 0xce32352e, 0x9daf56a2, 0x634f31dd, 0x52202d32, 0x9976ac7f, 0x56b59b4d,
+    0x88f35a15, 0x045549ba, 0x1e984fd9, 0x5008dbd9, 0xfb064ecd, 0x8bbfd4dc, 0xaaefaade, 0x24b646b2,
+    0x37c1a101, 0x355962e9, 0x7b972d37, 0x85b2a6dd, 0x2b1d1136, 0x4818b6b7, 0x0ec96582, 0xfe58ced3,
+    0xf4bb4ecc, 0x608cb940, 0xfa005766, 0x8007d0e7, 0x0e6669dc, 0x2f72c028, 0x0448734c, 0x9105598b,
+    0xef189bfb, 0x8f61bd2b, 0x21ac61ec, 0x03164347, 0x93bf63d1, 0x8bee7215, 0x18235fca, 0x00ae3d94,
+    0x5bc3d60d, 0xac2d71a7, 0x9e671a71, 0xa1a04f62, 0x4c0b744f, 0xb0b384e8, 0xc2f6da29, 0xa2b9c100,
+    0x4fbcdb15, 0xe1cf2379, 0x107304fd, 0x5fed11f6, 0x61592087, 0xad8a4fcc, 0x76236fa9, 0x42090566,
+    0x6cec1738, 0x9aba4193, 0x97513f08, 0x72ce2a8e, 0x935a6d16, 0x1fd09f67, 0x8ee6710a, 0xafb45c25,
+    0x5e4decf3, 0xb4e2b468, 0xe3c54177, 0x2a6b9d3a, 0xfcfb74d8, 0x6fe7a293, 0x0971d355, 0x9bc635af,
+    0x2e219fc2, 0x173a2d1b, 0x78f6c513, 0xecab38ba, 0x68b8f165, 0xd674d050, 0x9fc11362, 0x24ee6b21,
+    0x5f16d294, 0x9abea501, 0xa0b2ee62, 0xcae459ca, 0x0f936582, 0xa8b25d60, 0x2de68c2f, 0x7326c221,
+    0xe899d202, 0xd3b1af90, 0x1c566a16, 0x0b3c0856, 0x37d65a12, 0x4ac25775, 0x40394fab, 0xe10ce296,
+    0x69eaeac8, 0xe366350c, 0xb331c371, 0x7d56e1c8, 0x561e7a47, 0x243189f3, 0xb01604ef, 0x816eca43,
+    0xbd8071ff, 0x9bd78414, 0x330719c7, 0x94ee9bb4, 0xa4d5f8c1, 0x7f432191, 0x90f80594, 0x49feabd1,
+    0xec34bad3, 0xa4a7a4df, 0x452beaeb, 0x2bfcc64b, 0x74a50b82, 0xcb549d50, 0x78b8cfac, 0x08ea5f4d,
+    0xb82d200d, 0x32e0d5e5, 0x50d2c44b, 0xd8878a85, 0x612ece8d, 0xb0e37302, 0x9bb697b5, 0x27f19664,
+    0xa9421720, 0x9fd2c98c, 0x156f1af6, 0xd474ef0b, 0xcc874678, 0xa422c427, 0xb1b1bffb, 0x21419b53,
+    0x91b40017, 0xa594c2e1, 0x29ba22aa, 0xaa3a3e41, 0x423e8b62, 0x29425010, 0xb6d5db3a, 0xc3f5d1a9,
+    0x7ff73176, 0xd80bb453, 0xf684d154, 0x00ca41b3, 0x0bdcb392, 0x6607adcd, 0x181e5b7e, 0x11a07799,
+    0x55105b02, 0x8e2c46e3, 0x5abdf481, 0x6fa94c4b, 0xb2ea5fcb, 0x60ac534b, 0xec81c4e5, 0x4421d463,
+    0xf3e79841, 0xa14a91fb, 0xcfcde72f, 0x5577b052, 0x212bc054, 0x528845b6, 0x4da2dd81, 0x66b6754c,
+    0xbaadba9c, 0xd7c01b45, 0x0c7eae5b, 0xab2cbec5, 0xa8ae0d17, 0x02793124, 0xebab622a, 0xd1311fe5,
+    0x19f1959b, 0x5c7d424b, 0x2ed4296c, 0xa12648e7, 0xc043189d, 0xf3dc33a0, 0xd5329ede, 0x2b031a2f,
+    0xfb83f3df, 0xcc69033f, 0x9222e3a5, 0xf0068b08, 0x340b764a, 0xeb5b3d45, 0xddcc3dc4, 0xe10b2e74,
+    0x00000000,
+    0x082e7858, 0xe91b6ac8, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         1809251394333065553493296640760748560207343510400633813116524750123642650624 */
+  { 0x00000000,
+    0x64aef27e, 0x96e9276d, 0x01d562a6, 0xec82741e, 0x40590b97, 0x62821781, 0x272e9589, 0x049ead7a,
+    0x0565c166, 0xa2a0db36, 0x8d5c4218, 0x068a7779, 0xe15c1c42, 0xb4c62dce, 0x8580e94c, 0x3f8520c9,
+    0xbf5728ee, 0xf446244f, 0xebd5b769, 0xb5b71812, 0x0cc67768, 0xd6b78ad0, 0x5b15f8e7, 0xf090ee0b,
+    0x283b7042, 0x4f13872b, 0xa0fb55ee, 0xbab1fa41, 0x41fb2533, 0xaf4f0109, 0xc0439f18, 0x2c29b123,
+    0x30aa1b60, 0x9e6fbb14, 0x054b0bb6, 0xc831179e, 0xcb4bbeba, 0xae803bc1, 0xd73c158f, 0xec0a255f,
+    0x29d7f379, 0x21154a5c, 0xdc840c4f, 0xd9fbaaa1, 0xe8824f00, 0x5070f043, 0x4d70df0e, 0x92547865,
+    0x09548c7c, 0x511ee930, 0x70db3e80, 0xdd770e4f, 0x5790b052, 0x49775495, 0x33addf87, 0xe2b42324,
+    0x07b4d924, 0x39241c1e, 0xb99923da, 0xe3f4afce, 0x9c948a2e, 0x064c3b58, 0x21a9ab7c, 0xbaccc62c,
+    0xdfb5fe20, 0x97563f85, 0x7cc62842, 0xaee6bc4a, 0xb54008c6, 0xe9f20173, 0x51b699b7, 0xdd4ae163,
+    0xe92fc912, 0x11f6361a, 0x2bcf7643, 0x17ce33b8, 0x97947613, 0x7e539258, 0x2dd428fb, 0x1d11fa6f,
+    0xfcf00331, 0x2767dd3f, 0x749129c7, 0xff95b73d, 0xf5da96cf, 0x3af5846d, 0x8cd35c80, 0x06b84846,
+    0x018b7a9a, 0x7a4b9c72, 0x5ef84323, 0xf1d48275, 0x1e2c9430, 0xd5332eb9, 0x7a8c03e2, 0x31fe7de8,
+    0x3dd2bc75, 0x95ba72b7, 0x9250d25d, 0x11ea9d74, 0x25ccd607, 0xe8b8ef23, 0x44ffc789, 0xaca23510,
+    0xf62a5d4d, 0xfc3d8359, 0xbad549a2, 0xaaf8257c, 0x50fc8373, 0xadcea2f0, 0xee8c19d1, 0x353b7f46,
+    0x8542ce24, 0xfe10e9dc, 0x25566c15, 0x08b7dc56, 0x423c0087, 0x4f5bd0b8, 0xe4aac0ca, 0xbc3f2e7b,
+    0x35af1f65, 0x0c9f448e, 0x89a055e8, 0xf09d4b73, 0x7a341959, 0x917b757c, 0x1499bbf1, 0xb2f98291,
+    0xb9dd299b, 0x76830e5a, 0x19cb68f2, 0x969148d7, 0x9e03b506, 0x9babcb91, 0x45aab134, 0x707df4ea,
+    0x56670b59, 0xffa3001b, 0xb12be864, 0xceae4321, 0x45d6cc54, 0x8cdfc40f, 0x1101681e, 0x97f36762,
+    0xb780feb0, 0xb21f0781, 0x72a830ae, 0xea892b16, 0x742ab93b, 0x30f3ce8b, 0xaf395f30, 0xd17725a3,
+    0x25a724d5, 0xa2949ce2, 0xd5b8ea74, 0x19fa057f, 0x437f7072, 0x9f45a416, 0x25e8bef1, 0x2b7dafe2,
+    0xe43c2898, 0x0198061a, 0xd3601305, 0xfaa29f8b, 0xfcf3a252, 0x82cd0dfb, 0x725c76d1, 0x22c324ae,
+    0x78ab4c17, 0x807e69f9, 0xa6335d43, 0x0ee526bd, 0xc4510389, 0x62ff5746, 0x73bdce25, 0xc980b4d1,
+    0x668f85b6, 0xe659bbb0, 0x69b26ab4, 0x44cd960f, 0x51355975, 0x4a3a80f0, 0xb8538ede, 0x8d1b3463,
+    0x817c41ad, 0x5badf397, 0xe6748dbf, 0x5fb891ae, 0xee5cbcf4, 0x058fcb9f, 0xb0ded369, 0x64079df1,
+    0x36d979a5, 0x1d6a2e81, 0xb1cca67e, 0x99ae0dff, 0x9f95f598, 0x03cb20b6, 0x1acf5b84, 0xc0688e6c,
+    0xf8386526, 0x963c62a4, 0xd744b845, 0xc0148f65, 0x6f51d0e2, 0x320d3b0a, 0x135cfc82, 0xe6250a1d,
+    0x48aeb9b9, 0x4ed5e5d6, 0xd8e62950, 0xe3c48160, 0xa73dfba7, 0xe99a277f, 0xbfe6cccf, 0x509b78e7,
+    0x146010cb, 0xa8dd9735, 0xd4d039d7, 0x1a41369f, 0xe6a4ecc7, 0x2765e15d, 0xee8526b1, 0x99a20095,
+    0xe30fe875, 0xae7ee239, 0x172b5cba, 0x69cfea62, 0x8c043dd2, 0xce35fcbc, 0x8238fe87, 0x88472e3f,
+    0x7336d822, 0xf5bbb079, 0xa88972ed, 0x1c7b4142, 0x757910cc, 0xff99c4ea, 0x17d38231, 0x4da4f501,
+    0xfa038ed6, 0x5c42afb8, 0xddff5888, 0x4f20756e, 0x6fc36da5, 0xfe486c44, 0x2e041808, 0x375014e0,
+    0x8dfeef01, 0xd5b61c11, 0xd8c8f0e4, 0x05a6e4c4, 0x5920e9df, 0x256b1439, 0x99faceff, 0x148d4d6c,
+    0xeac8672c, 0x8a5a54e3, 0x6aa31516, 0xec6f6119, 0xb76a0d88, 0x2e932f0a, 0xcba95a90, 0x5bff76a8,
+    0xe18dac89, 0x4494eca5, 0x14379a72, 0xb0cd2717, 0x5a93e01f, 0x4ade4e23, 0x0f9a2fbf, 0x09e8b0a0,
+    0xbc300172, 0xe0db60b8, 0x17b80da1, 0x0779a2b8, 0xe0cf9328, 0x812d77db, 0x699c0121, 0x2e6a50e6,
+    0x5ddcea62, 0x39eb5067, 0x1d929182, 0x223a21c2, 0x136c7d41, 0xf63cd8b3, 0x21edbb7a, 0x6cf12cc7,
+    0x460c45d9, 0xf21eae68, 0xf95f4ca5, 0xd9dc8c32, 0x905bf96b, 0xe2941863, 0xe9653083, 0x5d6ef683,
+    0x7fe8eb44, 0xce861943, 0x965bea8d, 0x6357cc31, 0x3bb33578, 0x7ad90814, 0x728939c6, 0x8f84eee2,
+    0x2456bba9, 0x69e2536d, 0x30bb8a3d, 0xe46fb439, 0xa3f2be5e, 0xe052f3ff, 0xd3249d9f, 0xccc3448f,
+    0xbb245b8b, 0x14407039, 0xa4e5a829, 0x5f7269af, 0x8c1633c6, 0xf39030a0, 0x1ab54d02, 0x8abd3be5,
+    0x276b980d, 0x076593b7, 0x044703a5, 0xf9664053, 0x5fd74c8e, 0x8baf82c8, 0xbda07378, 0x6d730a24,
+    0xda9d1040, 0x2162e9b3, 0x36082f72, 0x08dda042, 0x3ae59888, 0xb1985521, 0x876f4720, 0x7522aeec,
+    0x668e3cc8, 0x3564c1e5, 0x74cfdda6, 0x365e1fdd, 0xf3f38814, 0x121ff71b, 0x4d79bcf6, 0xfa7561d2,
+    0x2eb147a4, 0x0f92806d, 0xc4e3b762, 0x47754341, 0x22895c8e, 0x50dd333a, 0x4a1e3142, 0x1b113f11,
+    0x9d7de8dd, 0x91917e5b, 0xa43e52e5, 0x19f873bd, 0x2dd6436e, 0xbb1adffc, 0xef9bb68d, 0xca232a7c,
+    0xe6197cd3, 0x2b7de88b, 0x5d49e2a3, 0xaedcddc6, 0x253f5511, 0xce03a1a1, 0x9f0b9f1c, 0x07f7a198,
+    0xa3afe264, 0x0645d3bb, 0x6a7d16ba, 0x88523563, 0x0ef9e4cf, 0x576e712e, 0x0e50b808, 0x1e01018e,
+    0xc9d267da, 0xee8d4569, 0xebecfb9e, 0x69b1ce65, 0x2e916c4b, 0x46c50f25, 0xa250f5d9, 0x61567df6,
+    0x56686fa5, 0x6c7d131e, 0x082c0323, 0x90ba7e6c, 0xb3d56d0b, 0xce6f107c, 0x3161d48d, 0x4ef18839,
+    0x2cac7f57, 0xd38926df, 0x6f22f943, 0x982f6484, 0x7700a805, 0x78afa390, 0xe06e5ed3, 0xf69149f7,
+    0x1c8d7136, 0xe9bccff6, 0x78d9b7c6, 0x086c6ed1, 0x69e63ee4, 0xd56f845c, 0x11212dac, 0x991a3fac,
+    0x2fd84dbd, 0x00477258, 0xc8e7e452, 0x151677e5, 0x31e7f618, 0x0b56201b, 0x8cea87ce, 0xe5658f49,
+    0x440365d7, 0xe931a8f6, 0x78fa184f, 0x428c1dce, 0xfc1618ce, 0xd35eed44, 0x64d6982c, 0x3e166217,
+    0x62dceabd, 0xf69b4c37, 0x0fc88fa1, 0x72a953ba, 0xed31d97e, 0x2c7d8fc6, 0x45ff4557, 0x60d09f6a,
+    0x51aa7e15, 0x47b6071c, 0xe46535f9, 0x280ba807, 0x4c278ccc, 0xed8c0070, 0x962ffbb7, 0x55b87e52,
+    0x09ac154f, 0xd1ca4ac3, 0x284f50fc, 0x94ecb150, 0x755cba75, 0xc7116b27, 0x2484b682, 0xb4e5c7f5,
+    0x61e90421, 0x6301505f, 0xfe782b30, 0xa6156a23, 0x667dc1f0, 0x4c00711a, 0x7bdcddfb, 0x337c4da1,
+    0x01d81013, 0x8809752c, 0x39133b5a, 0x41f9d2ab, 0x46e2974b, 0xdcf783ce, 0x8f7fc68b, 0x305fcd4a,
+    0x8acd2de6, 0x814b58ab, 0x183aabd6, 0x08e57603, 0x68e86996, 0xc4a60d59, 0xa639ec1f, 0xe2b836e7,
+    0x27e242f9, 0x3947f7c2, 0xd71aef84, 0x262bcb2a, 0x71ff35b7, 0xc630297e, 0x49cc46d6, 0x83467673,
+    0x26256206, 0x2764e6ff, 0x2139ed94, 0xa15abb81, 0xb0b7a610, 0xf9caefe9, 0x0edbe44b, 0x8498cb15,
+    0x8d7adb76, 0x5e497956, 0x6692080d, 0xef906eb1, 0xc77c0499, 0xa836b9ee, 0xeb1e8255, 0x4caf7a9f,
+    0x92b0b462, 0xabcae452, 0xaa96cc87, 0x05a3c3b3, 0x0a94aa04, 0xed28d977, 0x6828f4ec, 0x0b0d4bd1,
+    0x491966d7, 0xb74d404d, 0xb43dd507, 0x6c7f0e45, 0xb826cfbe, 0x00f69f0e, 0x085fe953, 0xad9146c5,
+    0xae78a288, 0x36eb988c, 0x17626205, 0xf420cd1e, 0x1cd23b0c, 0x093e278e, 0x4a3844ec, 0x723e3af8,
+    0x274e6e6e, 0xf3a016ce, 0xdedad2d7, 0xd6e03e4a, 0x9b4c495c, 0x8045cf35, 0x7e0c67ed, 0x1ffe5737,
+    0x1779c79f, 0x8e0ca4f0, 0x4f6e777f, 0xd23b9bdf, 0x7a32d343, 0x214ee603, 0xab283f02, 0xf3d0768a,
+    0xdde47460, 0xb4702bba, 0xae8d4eb0, 0xa4bb6c7f, 0xfc90d261, 0x3a6840e1, 0x0f1252cc, 0xbebf7d68,
+    0xbf17ceca, 0xcdb40ec2, 0xf8a1b843, 0xb7966d27, 0x64d6ba70, 0x7dfcbf56, 0x289a85d2, 0x05442de4,
+    0xfa33f785, 0xb7e17d25, 0xcd472efd, 0xd98ad7ef, 0x270a76b8, 0xf27a8de9, 0xf96353d6, 0x6be7128c,
+    0x4cfa61d3, 0xfe41295f, 0x9a2abd87, 0x5e37a819, 0x3c8458c2, 0x6b5207e4, 0x88b13f75, 0x67ccc78d,
+    0xbdabd6e7, 0x99b2367b, 0x8963f40e, 0xbd45be7f, 0xc1f7b111, 0x64945498, 0x177cd07e, 0x7f5cf7fe,
+    0x196dc4b9, 0x086fa4df, 0xc7c657a2, 0xaf508344, 0xcbb68569, 0xe4892cc8, 0x06cb319c, 0x6af16c11,
+    0xa0211cb6, 0xf5efe3d1, 0x51d4a297, 0x6605e27f, 0x800d4fb9, 0x4122730a, 0xa55e457e, 0x24bf6aea,
+    0x711f1fbc, 0x12565134, 0xab982484, 0x3fd1c979, 0x501595f0, 0x5d659707, 0xdc10915e, 0x6a56fd5c,
+    0x37537d15, 0x9487425c, 0x1defc9a4, 0xaa164a48, 0x9bd8bfb4, 0x28b1aa51, 0xe1ad86d7, 0x2ff5cc50,
+    0x68ea65d1, 0x43d77bf9, 0x1d8566b5, 0x4e443826, 0x5fbdd9dc, 0x89932cfe, 0xa3f41329, 0xe6c36380,
+    0x45535273, 0x7c9c154b, 0xaec5d574, 0xb1c06a74, 0x6d9e0aa7, 0xa722679f, 0x04839f47, 0x180267fe,
+    0x15c39e9a, 0x4402f99f, 0xe6bb0499, 0x8ade2840, 0xdca9567c, 0x8f3ae228, 0xb8bc1dd2, 0xcfe033d0,
+    0xeafb538a, 0x7fbdb49c, 0x39a38650, 0x1006f94e, 0xf648449c, 0xde11fcb6, 0xbfefcb40, 0x8ff2172a,
+    0xeec390c5, 0xeb9725b9, 0x0332c75f, 0x53ece8fb, 0x72a2ef0e, 0xa0e0a1c2, 0xbb2d9673, 0x241bcc91,
+    0x1886b9c0, 0x660210c8, 0x47ccbdd5, 0xc807212d, 0x4b6bb4fb, 0x9ce9129a, 0x34a21371, 0xd2b153ad,
+    0x6b8ec385, 0xca8feb69, 0x4b89ec99, 0x45385f35, 0xa6c03319, 0xf0fdc567, 0xc8ff0678, 0x278172ef,
+    0xc9dcc0e7, 0x4b9fb23c, 0xc13082c0, 0xc403a028, 0x2c438f62, 0x6696f8b0, 0x14ddf8e6, 0xf6c71082,
+    0xa8207ba4, 0xe1312417, 0x8dd34546, 0xd4057720, 0x4fc839fe, 0xe0852d13, 0x82cf02be, 0x46ae937b,
+    0x872efe07, 0x860c8200, 0xf8aef015, 0x1e94b0ed, 0x2e55fe86, 0x88a185d3, 0xe5d06cb7, 0x13fac8c0,
+    0xd1ce21a0, 0xca078d9d, 0x636f3d25, 0x988db4e7, 0x77fc63fe, 0x8498ccb1, 0x13148da8, 0xbc1fd61c,
+    0x18f5f6de, 0x5dd14e7e, 0x1f853af7, 0x2cfbf7d2, 0xe02b7bde, 0x17b9a8ec, 0xd27567db, 0x21e862ae,
+    0xa4e4a9fe, 0x0a26e5bd, 0x9e2d0f9e, 0xd8dd92ef, 0x6856e0f1, 0xd7a80eed, 0xcb1e5881, 0xe7e3a48a,
+    0x99ff14ae, 0xa634dfbb, 0x262f9f7b, 0xc15533ba, 0x530e1b07, 0x50914867, 0xa7d9de5d, 0xece8bafd,
+    0x7496b78b, 0x1ce0e5d9, 0x0ce084d4, 0x5bb56f76, 0x5a72fd06, 0x0c56e794, 0x214f5920, 0x71c12e7e,
+    0x1b830a32, 0x1896771e, 0x773d38d1, 0xaa23105e, 0xc8675cc1, 0xfaa076f9, 0x0a1d58dc, 0x251aea1d,
+    0xfed06b64, 0xf845c1dc, 0xa3c7bd63, 0x9840bc0e, 0x486314ec, 0xa45cf197, 0x95621839, 0x74b01cd6,
+    0x34de86c3, 0x1db5dcbe, 0xbc63c66d, 0x60dc43ad, 0xe1c3d33f, 0x71f8e241, 0x96e03bba, 0x8381e1b5,
+    0x86741f8d, 0x1537a69c, 0x157bd178, 0xd7e1d389, 0xcd14b9c6, 0xf96b7fcb, 0x8f4de0fc, 0x709321f5,
+    0xae560135, 0x7b07389b, 0xa4bc5a56, 0xe9a20ee0, 0xd56fefb0, 0x137aa621, 0x794a5027, 0x02b4a557,
+    0x4a20aaea, 0x23c229c8, 0x73d78eef, 0xc7f25d3f, 0x096ebab9, 0x38c584af, 0x911377b7, 0xf657ad5b,
+    0x410b366a, 0x56049907, 0x76cc4f33, 0xab8bc3fe, 0xe1d7c7ad, 0x62113a42, 0xaf33e42c, 0xcead08ac,
+    0xe70c097d, 0xda4a9e0c, 0x6c5f398f, 0xf1f5c812, 0xd1dafb15, 0x9cb1e8f8, 0xba4e10d9, 0xb30a39c4,
+    0x35357093, 0xdd7e4fea, 0x200ed20b, 0x29e3daac, 0x7e21f400, 0x698fd66c, 0x08ede68f, 0x9ae6820f,
+    0x83297d88, 0x12090848, 0xcff9147a, 0xba859aed, 0x064941f5, 0xf233cbbe, 0xa476af11, 0xde188a78,
+    0x3ad6efc2, 0x2bcbf55f, 0x7974f785, 0x09099fe4, 0x1deb9a77, 0x059ddc7e, 0x264a116a, 0xdeaf97ca,
+    0x304816e9, 0x66ce1462, 0xdb7bc5f1, 0x4c32115d, 0xb48ef18c, 0x1a20c244, 0x49982f66, 0xb5cddb5b,
+    0x9c1ced85, 0x888e9d73, 0xa6f10a41, 0x79b92b52, 0xd3136242, 0xe6c0d2cc, 0x966a6434, 0x81389d1a,
+    0x4e8c4eac, 0x6b789772, 0x2db14b8e, 0xda452ba0, 0xbc872fea, 0xd6e68a4f, 0x6146b129, 0x3c7cc0ca,
+    0xc9121ea5, 0xc6189107, 0x3758407f, 0x74580d6a, 0xea863f98, 0x9f856977, 0x6561e68c, 0xb1cde748,
+    0x79270f44, 0x9dc63f14, 0xea5e637a, 0xe147d372, 0x23691124, 0x3cde52bc, 0x55b693dc, 0x9da9afaf,
+    0xbfd5342a, 0xb08030a7, 0x30ba669d, 0x303688a9, 0xfaab93af, 0x67582c0e, 0x927c4cc1, 0x6edb415f,
+    0x785ee547, 0x3a996b26, 0xf13efaa0, 0x208b6427, 0xf90ae7d6, 0x948ee3d6, 0x665ce926, 0x494bbd3b,
+    0xf3886cb5, 0x2c3d4a09, 0x83c191af, 0xf2b7aff4, 0x021ceabf, 0x7c72ebb0, 0xae809c72, 0x134707c4,
+    0x7179f250, 0x24572de4, 0x897355d8, 0xe5a44e26, 0xa13d6478, 0xbcf49848, 0x99d30d2e, 0xa80373b8,
+    0x0ea7230a, 0xb70fe293, 0xaf070c9d, 0x890ff85a, 0xd1d7ba92, 0x267ebdb4, 0x19ced1df, 0xaaac81d7,
+    0xc3d49856, 0x38b81a29, 0xb15a0ba2, 0x4719cf86, 0xb3d47c49, 0x9a831e07, 0x713183ec, 0xd6ecb756,
+    0x641ad31f, 0xa11d51ee, 0x0d36876b, 0x26f50646, 0xddae5aed, 0x822e1cc6, 0xd98d488c, 0x9347ad6e,
+    0x69ff3956, 0x774d76f1, 0x20f0b16d, 0x557c5861, 0x9d26481a, 0xb4bd99b5, 0xd0b339c2, 0xbba62126,
+    0xf8b8a8a0, 0x1815463f, 0xb8645468, 0x76a97f44, 0xed0ab674, 0xa14c108c, 0xcf4f3fdb, 0x19cea395,
+    0x91ec64ac, 0x797c515c, 0xe4e297cd, 0x2c26ac9b, 0x91e3ce32, 0xa750aff3, 0x10e46e23, 0xa1722755,
+    0xca799c0b, 0xc924910b, 0x8866dc8d, 0x36b277fb, 0x4e9f56b6, 0x150e9a60, 0x80f8100f, 0x62371906,
+    0x9fa626e2, 0x0c47e056, 0x7baaa83c, 0x1ee7c49a, 0x02f5d839, 0xf87b467b, 0x85cf04fc, 0xf38893e8,
+    0x7f958535, 0xf0e69dfa, 0x186cf037, 0x0701d98c, 0x6d58b835, 0x343b7359, 0xdd15f420, 0x3af11e61,
+    0x3a4e0ca5, 0xae69b317, 0xb24e3df0, 0xe9c3fe65, 0x1f8744af, 0x74114b3b, 0x0e2eb9fe, 0x4c670153,
+    0xa7c12190, 0xb216a709, 0x9153df49, 0x0b5e6897, 0xcb3e8ed7, 0xf4fd3e96, 0xaf41261e, 0x945928be,
+    0xf034b26b, 0x53afab0c, 0xa6038106, 0x69e918b0, 0x67f77f7d, 0x5bda6307, 0x275598c5, 0xda51ce7b,
+    0x3f55dd96, 0x511b47f9, 0x45ac197a, 0x3571e2fe, 0x8b419353, 0x132e4f0c, 0x323f9952, 0xd5bc4e6e,
+    0xd4fc8bcd, 0xb55b71ce, 0x5d6ccc13, 0xabd61cf8, 0x0e8f8bfd, 0x88edbaa1, 0xd06e065b, 0x964a768b,
+    0x71a82795, 0x364137eb, 0x10fbb26f, 0x958ae3e2, 0x756ee1eb, 0x08213616, 0xc3878a81, 0xf005f691,
+    0x00000000,
+    0x04173c2b, 0x748db564, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0904625697166532776746648320380374280103671755200316906558262375061821325312 */
+  { 0x00000000,
+    0x541c7dfe, 0x5b67040e, 0x503d7114, 0x7080c434, 0xf00e1a26, 0x92eb78c0, 0x56f52974, 0x24a3c1c8,
+    0x8100d239, 0x96c741d5, 0xb7cfe5a8, 0xb3bb60f0, 0xc6ec12da, 0xc459fd6b, 0x03915563, 0x48a971c5,
+    0xd22d8a5c, 0xa2c9daeb, 0x67b730d9, 0xfeed9d2a, 0xc9664da8, 0xde35004f, 0xcee399d8, 0xafe693c6,
+    0xdf13f169, 0x16775d0b, 0xa1bdf73b, 0xe99ec232, 0xda0152b2, 0xfdff39dc, 0x8bd0ae98, 0x38c28c5c,
+    0x7c7bf06c, 0x20490a36, 0x32870cc1, 0x7f5b5572, 0x518a23f9, 0x6e7b5985, 0xc0ba73cc, 0xe42f0dd3,
+    0x14fc8964, 0x56522315, 0xae50e175, 0x8fc39e48, 0x56bba68f, 0xd776ee34, 0x9bdc1fc9, 0xd95982ca,
+    0xce91267d, 0x72450f59, 0x75a7a587, 0xbba6afa1, 0x28819b37, 0x9f275b6f, 0x2352a1c4, 0x94fd54e2,
+    0xcee5b5cc, 0x6f7bcf3a, 0x38766138, 0xf011d0b0, 0x3781dab4, 0x9787fcbc, 0xa6e42086, 0xfb4d394d,
+    0x7eadea7c, 0x36c70868, 0x68ee1ef7, 0x7fb8bd9a, 0x4cfa641d, 0xe5ef10cf, 0xdcf358a6, 0xec854eb3,
+    0x66eb603b, 0xa0bb1f35, 0x4c4c6517, 0xe485fde5, 0xcebe513b, 0x0ca056e2, 0x4ef6d703, 0x52816622,
+    0xf01483db, 0xc4f59cbc, 0x09cbaae8, 0x22517ef0, 0x3a1684c4, 0xac57c921, 0x26c6c61f, 0x150ede81,
+    0x7506f36b, 0xd7934805, 0xde06686a, 0x6b2e5ac8, 0x215593c6, 0x514500d8, 0xb1d91d8e, 0xe91f7379,
+    0x4109b5f8, 0xdd240de6, 0xb7e72329, 0xfea979e2, 0x8fe03d41, 0x805eaf23, 0xd2c481a5, 0xffde08d2,
+    0x82a3d472, 0xba400bd9, 0xde7ccad4, 0x9135604f, 0xf37804c6, 0x735fbdac, 0x29d1925e, 0x565fdc6b,
+    0xfc611752, 0xed031f97, 0xf85c64a4, 0xb4b18814, 0xa939301e, 0xefe567df, 0x6cc46014, 0x9f0df262,
+    0x805ab9a8, 0x6bee77c3, 0xdceb3964, 0x7f00c68d, 0x89c3a7d2, 0xa5e4a45e, 0xabd46f8b, 0xae28a69d,
+    0x512c9987, 0x44abdbc0, 0xb3bc798d, 0xec4fd398, 0xbd94d72b, 0x247a659b, 0xd0750cf9, 0x17462064,
+    0xf1900a2f, 0xe39274fe, 0xe4c88566, 0xe0281bb6, 0xf7ca1a0e, 0x040b3c7f, 0x306f10b3, 0xd1ac5da3,
+    0x6045c3c5, 0xec726e80, 0x316d190e, 0x304b224f, 0x5c37253e, 0x972e9caa, 0x9e607b12, 0xe05d04fb,
+    0xf2bebb40, 0x9ad1c528, 0x98e4f784, 0x007c72a9, 0xd768d738, 0x26a77c26, 0x75f430e5, 0xd2c4fe08,
+    0x168024f3, 0xd75b261d, 0x3a25613b, 0xcd52af74, 0x8af033a8, 0x6cfcebe2, 0x6d49e5a9, 0xeec990f3,
+    0x6baf656f, 0xa05927df, 0x0e7b606c, 0x15faa3bc, 0xa8c11edc, 0xcb47e90c, 0x55e9405e, 0x752e16ea,
+    0x809d70c4, 0x26a558b9, 0x4022ced3, 0xb50b101a, 0x020a0ebd, 0x9853fe3d, 0x00f9eeef, 0xaaf5a277,
+    0xd0fb6fd6, 0x6025add1, 0x240410bf, 0x31f9e89f, 0x59046ba7, 0x5e350ba7, 0xae7d5a6b, 0x93256ecd,
+    0x5a54408e, 0xcb9a9e39, 0xfc744a21, 0x55bbc144, 0x24c95618, 0xbf80b7e3, 0x4dac7af5, 0xd37a4eb1,
+    0x9565cde1, 0xea3e5bea, 0x430f54fd, 0x7d23f546, 0xb232704b, 0xce390e7c, 0x9acbdc3b, 0xb30ed069,
+    0x546de56a, 0x64d50688, 0x46741cc1, 0x0574711a, 0x2a23efca, 0x590829b9, 0x1e7c5f6b, 0x706026ad,
+    0x9e63beb4, 0xc5ebedab, 0xd395064f, 0xbcb37cac, 0xb4c281c8, 0x4957c328, 0x4d322c8a, 0x0f6647e1,
+    0x012364b8, 0x420f7d10, 0x0cd23c81, 0xd97a6e00, 0xbe23e68e, 0x4d762c2f, 0x322769a7, 0x97228bc4,
+    0x09cb3696, 0x9ce75b6e, 0x0f959be2, 0x93bcf011, 0x27002a39, 0x0e5c4410, 0x0a6f26de, 0x92606df5,
+    0x320671b7, 0x8173178c, 0x38a5c130, 0x70da613a, 0x9c33f2d1, 0xe7dba75c, 0x533c527e, 0xbca9ed14,
+    0x178e6cf2, 0x46f98cc4, 0xc067368e, 0x61425343, 0x640df98a, 0x23f9c6c6, 0x10e9ef98, 0xbe71e556,
+    0x138459e1, 0x4a1a6fff, 0x8c986616, 0x43fcfd7c, 0xda48927f, 0xdb4da272, 0xd352c08a, 0xd47f126e,
+    0x86604753, 0xac258997, 0xbdccd25f, 0xe8475c4f, 0xbc95888b, 0x2e5555ba, 0x5ee1fece, 0xffd33f4a,
+    0xdcf0f255, 0xb69ddc6d, 0xc14e3c56, 0x180b4ccb, 0x4e06c638, 0x71f0fe7b, 0xcfb90b15, 0x0c80f8e7,
+    0x9dc4e13a, 0x7b182097, 0x9edb8958, 0x502a62c5, 0x935ab043, 0x94ae27aa, 0x363a1c15, 0x89536c91,
+    0xc6567753, 0x866a84f9, 0x49f26c2e, 0x8ab5c653, 0xd8d8867e, 0x4ed54373, 0xbae336f5, 0xd67af9e1,
+    0xdf501149, 0x99b2ea15, 0x93de73bd, 0x8f51f50f, 0xb499edf7, 0xc9f563ad, 0x4fb82675, 0x437ecbe4,
+    0xf0962dd4, 0x8e4827f7, 0x68534e2d, 0x9425365f, 0xefcc3f58, 0xa889933e, 0x2db9808b, 0xd267b022,
+    0x37fe2efd, 0xe2acc668, 0x60521639, 0x9e48bf4b, 0xebb63927, 0x023e893e, 0xcaea9055, 0x4b36dbca,
+    0x3e3bd03d, 0x8527ba54, 0xb9fe51aa, 0xffaf98a2, 0x8c7130a1, 0xa115d79f, 0x23497902, 0x42bc098f,
+    0x431de428, 0x5e2c1d63, 0x6c78deba, 0x0a4b16e8, 0xcbbf39d5, 0x4f6a6d6b, 0xb12156e7, 0xff40b42d,
+    0x03166c87, 0x9216302a, 0xd5845c1e, 0xd19cba92, 0x716f6d59, 0x338af518, 0x1d69f854, 0x642f677d,
+    0x498f8be6, 0x06011633, 0x54f208fe, 0x31bb9d7f, 0x699f0b84, 0x0b472734, 0xc51e9494, 0x2154a44c,
+    0x4dfa4eca, 0x5ea6a540, 0xbdee9262, 0xf24efa8d, 0xe1eb5157, 0xfa10991c, 0x617efed7, 0x81a29122,
+    0x2c6d5884, 0xdc64aa9a, 0xc1555c47, 0xe6d9707f, 0xcb9b20b2, 0x5ee28708, 0x44994e6d, 0xcc8d9b2a,
+    0x59a5ec99, 0x5d805e46, 0xb52725af, 0x305a685a, 0x9c1fdd32, 0xfcfed313, 0x39c62f6a, 0xfb392a70,
+    0x332c85ce, 0x40a49d7b, 0x2e70ca4c, 0xe20e3484, 0x6280119c, 0x4e0133cc, 0xb4fee42e, 0x330df423,
+    0x564eb444, 0xbc840ff6, 0xe680268b, 0xbb9067c7, 0xd2e5446f, 0xeb3cdf4d, 0xf2de6b84, 0xe8f7337c,
+    0x7a419184, 0x1cd69aab, 0x6ba0e51e, 0x82be6fda, 0x5487e0a1, 0x06c341ee, 0xf4a66a4e, 0x29003f40,
+    0x098a7066, 0x19bbf41e, 0xc9009be6, 0xb5281fd5, 0x88038828, 0xf432fd85, 0xb1b14052, 0x5ee193a2,
+    0xe3d6985e, 0xa6671005, 0x560159e1, 0x23ba5b74, 0x397b2774, 0xd1a1610c, 0xe96a6fda, 0x3c6ddc1d,
+    0xeea060bc, 0x78eb708f, 0x49f8ef94, 0x15644d48, 0x9f176900, 0x0bbb7f1d, 0xe6992b15, 0xf232f054,
+    0x7dbfd93f, 0x1a00d0a9, 0x23b20ad4, 0xc14b1390, 0xfd4fe3c9, 0x87027670, 0x984ef7c0, 0x66c07f68,
+    0xa92eaef0, 0x136bdc65, 0xe14309b9, 0x4876d12f, 0xbb4adb1f, 0xbe4694d4, 0x57aa496d, 0xc073a600,
+    0x964419d9, 0x0a0a719e, 0xe895aaf2, 0xf506bfcf, 0x5b5f180d, 0x08c55ba0, 0xc1c07434, 0x370b712e,
+    0xf0e18c98, 0xbe82e6d4, 0xf4edeaf5, 0x30d7af1e, 0xd9ca16a6, 0xb6f39f9e, 0x3339e0fd, 0xff9e73b7,
+    0xd96e1249, 0x07616b37, 0x81ebd277, 0x99cecaa2, 0xe324fad7, 0xf51fb06c, 0x72bc381b, 0x547d45c7,
+    0x3f912247, 0x61fab6db, 0x50b70689, 0x4cf53a9f, 0x8d584fed, 0x3a897510, 0x5658f165, 0xe6d15cf0,
+    0x18c06585, 0xf20950f6, 0x3650f038, 0x90706d3c, 0x52e6f5f0, 0x5c86d8e4, 0x3fc9c9da, 0x1544f602,
+    0xb42c5c76, 0x16c0365f, 0xdb700977, 0xdf8b50e5, 0x13a1e7c5, 0xe9cf5cc0, 0x8f460785, 0x18489d50,
+    0x740a2a59, 0x0b2c5abc, 0xf886f0cb, 0x55b18efe, 0x7e24829c, 0x017b0c08, 0x93cf21ca, 0x1fe92ef7,
+    0x136656de, 0x898005ae, 0x45fb607d, 0xbc2729f4, 0xa6b1e01f, 0x8fce59c6, 0x18bf3799, 0x322e0562,
+    0xaf5bc3fb, 0x22aa09f1, 0x7f559346, 0x094e6f59, 0x2f325469, 0x88c6fae4, 0x6e6f5fb8, 0x788f9f8d,
+    0x52db973c, 0xb8e4c2a9, 0x91a85e9e, 0x77c40280, 0xcee0c181, 0xcc82190f, 0x464e7963, 0xd68d5700,
+    0xdd96db75, 0x9faa1e7e, 0xf6bef2af, 0x3c6c6abf, 0x091ad8f0, 0x1c211c86, 0xd3ab6a25, 0x9336e3ca,
+    0x600ec561, 0x172d7ab2, 0x0b03a400, 0x0bb9e0fd, 0x845de89e, 0xb7f76f31, 0xc45cb59c, 0xc4dcf71d,
+    0x43616c04, 0xaac59e75, 0x57d31fba, 0x0ba903d9, 0xbb6d0a7c, 0xdd3590cf, 0xa758a722, 0x9c47ccf4,
+    0xb5023a58, 0x2be0a9e6, 0xab08b85c, 0xa09787a7, 0x591178aa, 0x428efa5d, 0x9c3d0554, 0x5c5c29a1,
+    0x3dbddf61, 0x916c2d90, 0x37fc7bb8, 0xfe483eb0, 0x53298e7d, 0x4490ef07, 0x40b4a6a4, 0x07f1b44b,
+    0x10747cc7, 0x50367893, 0xea9c1091, 0xf6c6f99e, 0x0c103ddb, 0x31bac7ba, 0x37533518, 0xe99138d1,
+    0xe6fbcce8, 0x7ea16b90, 0x68b5eadf, 0x75c1e260, 0x424fa37a, 0xb3518625, 0x46e6a9c3, 0x3f2ca120,
+    0xc1112c58, 0x4bc85df9, 0x747673a1, 0xbc6f8685, 0x685be032, 0x1e1f0a2a, 0x0d4abb8b, 0xc3834f06,
+    0x5d2342ee, 0xb537a02e, 0x9a5fcb6a, 0xfb1059ac, 0xf1337f2b, 0x31381db3, 0xbd754fcf, 0x7fc86d68,
+    0xfee4ff10, 0xef68cc28, 0x016e42cd, 0x05af8682, 0xf13f81ee, 0xecbc28c6, 0x8d3d7bd1, 0x1e8af1e7,
+    0xdcf7daf4, 0xa285a07f, 0x186603dd, 0xc5ea91d0, 0x48d5119b, 0x61777033, 0x3ee6d4c4, 0xa609e2df,
+    0xdf4f0d59, 0x3937daf6, 0x7ed285b2, 0x9f4aac6d, 0x8cc9754c, 0xa895524a, 0x950439f8, 0x911c07e9,
+    0x022f21e5, 0xba4a1e8f, 0x261b2e63, 0xed5f731a, 0x4fc14275, 0xdbe80463, 0x080ecd2f, 0xa3646789,
+    0x6e90c6d6, 0x6e178310, 0x04ecad34, 0xce87a7a8, 0x4b94278a, 0x4904336c, 0x2e0bb05a, 0x449ac599,
+    0x333820f8, 0x9c9b310f, 0x74a5160a, 0x5af0b010, 0x2546c878, 0x7aa0ed9f, 0x4cc1301c, 0x9ff9accc,
+    0xdcaad9fd, 0x1641d80c, 0x1d33562a, 0x9ad22f65, 0x411eb1ca, 0xbdb7afb6, 0xf7c04265, 0xaaa244e1,
+    0xfdec3630, 0x400187c0, 0x82618835, 0x7572e709, 0xdf0b8eff, 0xe2d9dc87, 0xb4bd6e0d, 0x1d9a894d,
+    0x373dbca0, 0xa7deeb6a, 0xb89387f0, 0xa4781ea6, 0xa9376fef, 0xc4940817, 0xafa13788, 0xc4fd213f,
+    0x35a92016, 0xc4927a9b, 0xb0d0495c, 0xc37b9a3f, 0x1012e95a, 0x432ae046, 0x4c6330d5, 0x802a71ee,
+    0x30e22c8a, 0xa76c82de, 0x4357a115, 0x7faa9855, 0xc5b9ac0b, 0x3e364276, 0x12d70726, 0x48cf72d1,
+    0x43d9db85, 0x52d98fbb, 0x8b2b1b69, 0x53d56e0a, 0xe84456c4, 0xea157bae, 0xdb812134, 0x28d1b281,
+    0x3bf537ee, 0xfcdd4da3, 0x3a1a6024, 0xb95edb61, 0xb0b2a5c5, 0x7cb38cf3, 0xf7fe0a53, 0x4b1c7515,
+    0x89de9fc1, 0x48f397e2, 0xb19a49e4, 0x191c6fc1, 0x594ba280, 0x0abb11e4, 0x44374b65, 0x179ff27f,
+    0x839480ad, 0x49ddb66b, 0xa480eae0, 0x52188c57, 0xcec95c0b, 0x89fe93d6, 0x5de2dc5d, 0x6a87f68f,
+    0x4db58127, 0xb8910be2, 0xb03e84c2, 0x0b6e306d, 0x406a452a, 0x27c17752, 0xfac06ed4, 0x4468481e,
+    0x18062bfb, 0x058c7542, 0x7fca9d78, 0xe922c6fe, 0xd0f7a68a, 0x9d468293, 0x14931e47, 0xfec2f88a,
+    0x49eb6b6b, 0x468dbe93, 0xac1a2086, 0xa6cbb0a9, 0x0bb80796, 0xa534d9d8, 0xcad6b53e, 0x43cf7c6f,
+    0x1be64195, 0x7e52d368, 0x291c297c, 0xca6f2f8f, 0xc6782f39, 0x22ac915e, 0xebc6fae5, 0x478a068f,
+    0x249742a2, 0xba873c32, 0xf98833c8, 0xa27c59c9, 0x1c23c827, 0xd743f064, 0x629a36ce, 0xfe186d01,
+    0x2fbacb1f, 0xab2146fe, 0x2c3d372f, 0x1d9abd3c, 0x0ad57557, 0x9cb9fb7d, 0x5ceb918c, 0x0f60d353,
+    0x94d735be, 0xe688e80b, 0x090e7bbb, 0xe9be50d1, 0x30c2f3d1, 0xcfe5e7c7, 0xc6b5c070, 0xb39891f3,
+    0x2b451b5b, 0xde996ea8, 0x14231dd4, 0xb2d35c67, 0x5b00610c, 0x87eaa551, 0xfe5ab9ee, 0x273c78d5,
+    0x39858d81, 0x7005a21d, 0xeeaf6998, 0xafd33a8d, 0x5858717e, 0x8b5475b0, 0x6eeb5d7d, 0x6cbf6fb2,
+    0x420c72de, 0x0d157584, 0x120f7170, 0x05b87c0b, 0x0b43bb40, 0x6b0d1182, 0x61a48275, 0x8972118b,
+    0xe95c4915, 0x5f78beb9, 0x7ba4e2d3, 0xd84f75ea, 0xa77e8755, 0xd0505b67, 0x01a7e672, 0x94ce951e,
+    0x92886c79, 0x541ec8f6, 0x6d5cdc8c, 0xc79878eb, 0xd754279f, 0xd49cf3af, 0x1f44392e, 0xf5ff3504,
+    0xb7e8e6d8, 0xf2f67b6a, 0x7e67ed1a, 0x50739bca, 0xa9907c58, 0xb38235c7, 0x91fc2a65, 0xec7509aa,
+    0x1f848f6c, 0x292c692f, 0x3d5f5037, 0x4b345947, 0xc7520db2, 0xb17cf753, 0xc41c3cc0, 0x0385a5ec,
+    0xb7bf0776, 0x2d7c45f9, 0x240f8d30, 0x3b670530, 0xd7f63c69, 0xaf0211c0, 0xdad800f2, 0x30137ffc,
+    0xccb6381c, 0x06a40826, 0xb13ad40d, 0x23a08a27, 0x8d2eae93, 0xcabfa1ff, 0xe3aaf0fa, 0xcb235113,
+    0x1d0abd6f, 0x404dd134, 0x266eb4a6, 0x78590d7e, 0x434e928f, 0x457cdcbf, 0x44a57919, 0x22fdb1ef,
+    0xaa74bc85, 0xba5fcd21, 0xb28d4fb3, 0x942581e2, 0x700bf76b, 0x157f1a7b, 0xb3db9038, 0x64531c4b,
+    0x5c65df9c, 0x7a14dc8f, 0x864de971, 0x3c0b6d81, 0xe60e0635, 0x8f0caf8f, 0x6eccf854, 0xcde689ab,
+    0x1a93ead3, 0xea552709, 0x5555dbba, 0x2e3142f4, 0x3ab7bf64, 0xd79bb196, 0x43e4fd9e, 0x6174acfe,
+    0x037244b2, 0x1055c41b, 0x74eaa163, 0x03af554b, 0x9e3e2936, 0xb391be00, 0xcd2490c7, 0xf9d75707,
+    0x45bc891f, 0xc0d5c0b4, 0x91ab89c1, 0x8c398eaa, 0x2796c0b2, 0xd910af40, 0x8ef72cae, 0x3147e32d,
+    0x6d873fcf, 0xc873a168, 0x686116e0, 0x570d4779, 0xcfa595ff, 0x860af127, 0x143b4a25, 0xad099b73,
+    0x641737d9, 0x2b9de936, 0x6a5aec36, 0xc11db49a, 0x7f82a7ae, 0x656113ac, 0xa4e7c684, 0x089b27cf,
+    0xa70fe189, 0x2b3713bb, 0x0f8f9190, 0x87f48bec, 0x23da9b1b, 0xcbfa98d5, 0x56264fbb, 0x4ea7ee37,
+    0x61a1d7de, 0xfadd8480, 0x8e37d574, 0x55eec724, 0x863da810, 0xda949251, 0xf6b8e947, 0x3bb6731f,
+    0xdb31ec37, 0xc05779c4, 0x0c2de905, 0x75fa3c48, 0x1fc5b452, 0x0df4d85a, 0xfbaea3a9, 0xf9e552f1,
+    0x7e5e40d2, 0xfdcffb88, 0xde501719, 0x4e6bc8cd, 0x09fd547a, 0x3267f3bb, 0x12066c53, 0x29273089,
+    0xf7134bff, 0x1201349f, 0x7c45603b, 0x0a2d5bed, 0x96b4358c, 0x0e4ed113, 0xf31a1b64, 0x4501f086,
+    0x4475d0f0, 0xa8762c26, 0x305c5f38, 0x90cfeeb0, 0x28ff7d11, 0x6f429a27, 0xe8ae4ae3, 0xdca59121,
+    0x048a269e, 0x2a123fc5, 0xdae9f44a, 0x2cb7749b, 0x8992f1eb, 0x901abe65, 0x0ebbfb9f, 0xdf701b41,
+    0xe7c26c67, 0xdc4ad34a, 0x7d9eaef5, 0x504000e1, 0x1d2b274a, 0x50032ff9, 0x9afd11ae, 0xef164461,
+    0xd01c4a92, 0xcf13c1ec, 0x38bc4d62, 0x07269fe9, 0x9356ca24, 0x43fb293a, 0xa959d56c, 0x5a5eb1f2,
+    0x3d7de2b9, 0xa39987ab, 0xa16466c6, 0xba855cdd, 0xe8b53c00, 0x932c4156, 0xa121b5c2, 0x92572455,
+    0xd1ef623b, 0x155781be, 0xf510ab27, 0xf0e09b5e, 0x7888d012, 0xe6ab5335, 0x2d6affee, 0x2bdc8ca2,
+    0x146aeb16, 0x7773129c, 0x779ca2ba, 0x45ad194f, 0xc151322d, 0xc2cf7040, 0xbaf56db9, 0x5717d646,
+    0x80cf819f, 0x0911e73a, 0x9ee988be, 0x5bcdf12f, 0x279f24b3, 0xa8db6840, 0xdf80c388, 0xaf479bfa,
+    0x00000000,
+    0x020b9e15, 0x3a46dab2, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0452312848583266388373324160190187140051835877600158453279131187530910662656 */
+  { 0x00000000,
+    0x142c5b23, 0x326af5ed, 0xadcdb7c6, 0x9b473522, 0x4d732ca3, 0xe49b7283, 0x565f6f1b, 0xb8cc527b,
+    0x603ded4d, 0xd9eb5ec4, 0x28dbe3bf, 0xf549711a, 0x40ce1de3, 0x6b9a30d7, 0x79dd3597, 0x081bfe59,
+    0x91a29636, 0x918002e2, 0x3a15ac36, 0xe05a503c, 0xe1f5de44, 0x755d316c, 0x6b3d81bb, 0x073ae1f2,
+    0xd4028337, 0xa343365c, 0xd459d846, 0x0d87e69a, 0x98570db9, 0xb263a529, 0x86b8b9e9, 0x53d5a424,
+    0xb90a8374, 0xd0034602, 0xf4641c14, 0x81bb14d4, 0x80d63b8e, 0x6d20a416, 0x9af2c51c, 0x21a27629,
+    0x5fe14bcf, 0xefacd651, 0xe0b8984a, 0x0e22161b, 0xddff1068, 0x4adc754b, 0x70bc304e, 0xcec10396,
+    0xdfe7ae02, 0xbe791541, 0x82e2dce9, 0xe2672849, 0xf8a8cc96, 0xd6690ea4, 0x58d11de6, 0x022b3d95,
+    0x7d48856f, 0xaa5c2bb8, 0xcfbe1477, 0x43fb7650, 0xd87c8094, 0x7237363d, 0xa6251de3, 0xe7fdbdf6,
+    0xa9a9e791, 0x935eeeae, 0xbf3ff395, 0xb8d8e18f, 0x82b8fe1f, 0xc0c816c5, 0x0367bf7d, 0xabd360ed,
+    0x0d591c57, 0x14710e83, 0x97deb5d6, 0x411b7de9, 0x0efefdd7, 0x56f5ba01, 0xa0ba14a0, 0x848d5abb,
+    0x5c80e565, 0x51388e3c, 0xd94b0a29, 0x64e88a96, 0xb5dbbe78, 0x21093752, 0x08892ea0, 0x5302922d,
+    0xd8d8ebc5, 0xbe42711e, 0x352d6447, 0xe887ac99, 0xec6d4a93, 0xb1fc8096, 0x6d3c8cc7, 0x9e70d085,
+    0x2f2a15f4, 0x21862fb5, 0xa3039f88, 0xad3fb6c1, 0xff6718b6, 0x401a6517, 0x39efa66b, 0xc4d85e98,
+    0x198841d8, 0xffdf08e6, 0x64093d99, 0xcd55e030, 0xf5a78234, 0xe3b8b789, 0x8f020ad1, 0x4f4e53a6,
+    0xf6f21eba, 0x5ece3c7e, 0x5514bb02, 0x80db51f0, 0xae2b291b, 0x74c71cf7, 0xbca2db4a, 0xa639cf23,
+    0xe49ce9bd, 0xe4922bcf, 0x5184f226, 0xdab50ae0, 0xa9174a45, 0xd35bebdd, 0x5019bf35, 0xa05b0428,
+    0x1c672e1a, 0x556a8bb9, 0xd4495731, 0x25f5d24e, 0x315f4cae, 0x7144a531, 0x97c97ab8, 0x3c56aa27,
+    0xd59bd85a, 0x21bca75f, 0x017e5ef3, 0xcb0fe43f, 0x20d85b64, 0x4a38bbb0, 0xc58d7dad, 0x0c4a832b,
+    0x1d881747, 0xb00e26b1, 0x09702caa, 0xb45553cc, 0x4a7c823b, 0x641b68c3, 0x5a96117d, 0x25dc9b0e,
+    0x133a66e8, 0xc50235b9, 0x9bf1c5fb, 0xd2b35192, 0xb163546a, 0x8a039798, 0x3629241b, 0x18946515,
+    0xdbb8577a, 0x71760c99, 0x8d4fe20b, 0xa2e2d06a, 0x783161a9, 0x05a63449, 0x1912732b, 0x4ae18c6e,
+    0x46a7af9a, 0xa37b5009, 0xe943a547, 0x27c87c7c, 0xc0a3fbc4, 0xe8dc4e15, 0x0053c31c, 0xd751a6a1,
+    0x7b8c86ff, 0x20351af7, 0xe070733d, 0x90ebb66f, 0x2f90e323, 0x80f384bc, 0x7a600ade, 0xe3d0f320,
+    0x61ea34f3, 0xa0107642, 0xf6364dad, 0xdbf4bb53, 0x0becddc9, 0xce2e0a72, 0xa1f6a436, 0x767e90d3,
+    0x1819d912, 0x1f23a5e6, 0x05313205, 0xad196f7d, 0x0f995805, 0xeed8039b, 0x5a1f8105, 0xb383d12d,
+    0xfbb06be2, 0xc38a4203, 0x82e43602, 0x1e5e2fd9, 0xcc4dd20b, 0x30144afc, 0x60727981, 0x8dd92fa8,
+    0x467f403f, 0x36999396, 0x7f7ae3b6, 0xdfc4970b, 0xa1551c2c, 0xb64b53cd, 0x9745ab88, 0xaafdec0b,
+    0x81deab0a, 0x443f351e, 0xaa529a0d, 0x1759baac, 0x369192d3, 0x3f41376e, 0x0a125d0b, 0xd0ee72f0,
+    0x997893c6, 0x1f89e34f, 0xbd905b94, 0x321d6d96, 0x2e316393, 0xa9b6b608, 0x3fd102a9, 0xf155c55f,
+    0xdd579868, 0x9f9bf852, 0x04e381cc, 0xad063b70, 0x69abf8fe, 0x3791fbad, 0xa5fd7028, 0x93566427,
+    0xb82d061c, 0xc14c5f91, 0x79a48c49, 0xdcac9f71, 0x210caa85, 0xa81c0c74, 0x5d823141, 0xf8120891,
+    0x2859b192, 0x9846d19a, 0x683766b5, 0x30225239, 0xbeea2fb0, 0x3c194341, 0xa12e6433, 0x1ab6ff32,
+    0x7b4a9b8c, 0xcd030d54, 0x9d36d371, 0xaf5eba28, 0xb17b85ad, 0x8af232f0, 0xaa9d3c1f, 0x5581c333,
+    0x1382e0f4, 0x47c8dd29, 0x32cb55ed, 0xcafcbbf0, 0x2f3fdce0, 0x36d8cb8c, 0x66a0a428, 0xe6ae7a24,
+    0x06e2f613, 0x6e3ebc20, 0xebc3de4e, 0xc1b82e16, 0x09d1a4ef, 0x08993c7e, 0x3dab08c9, 0x6c8b7f09,
+    0xd46521e0, 0x6434aeaa, 0xd580ebef, 0xe4d53949, 0xbb45714c, 0xa41b8a1a, 0x23afeb9f, 0x8b0914c4,
+    0x8fc7cbf3, 0x1d659be9, 0x1d1fc3c0, 0x5115e98f, 0xa3e506c8, 0x69cd6025, 0x25744c0b, 0x0e7e004a,
+    0x5ee33fcf, 0xe3a576f8, 0x6f88c7f7, 0x05a6229a, 0x2019d3d4, 0x75055828, 0x81c1f40f, 0x58836292,
+    0x66b13584, 0xa23fbfe5, 0xe5d05e48, 0x8dba7ce0, 0x3cfe1746, 0x08de51ca, 0xbdbd8d02, 0xd8bb3b1a,
+    0xcc706c61, 0xd0b57536, 0x2b078e9e, 0xc3effcc1, 0x1cd4b552, 0x49a03085, 0x0d116cba, 0x51440afe,
+    0xd0a97748, 0xe16f3be4, 0x91d71e7c, 0x09a7301a, 0x102b067e, 0x2c6d492b, 0x4400feab, 0x3daf4537,
+    0x0371245e, 0x3c2585ae, 0xcfa7f9de, 0x9748ee64, 0xe22c1c72, 0xc7ae9a98, 0x5eb1fa8b, 0x20e68caf,
+    0x048f2c6f, 0xf60143db, 0xf7d70177, 0x2d0156d6, 0xd326dc20, 0x2280b7c5, 0x6742f9db, 0x375e4970,
+    0xed83b045, 0x1b6bfbaf, 0x08a173d7, 0x3c11b602, 0xf1fdbb3d, 0x0c13f896, 0x628c5020, 0x3b091bc3,
+    0xb78eb918, 0xfd6e854e, 0x8b5d171c, 0xcfbf6619, 0x58fef9f2, 0xbc63e370, 0x3c298e2e, 0x885d7d97,
+    0xd059c1d4, 0x15fb23e1, 0x38e9baf2, 0x7c1a5efe, 0xb70226f2, 0x4853ea29, 0x081b3125, 0x3c1aeb80,
+    0x61018919, 0x08866c97, 0xef959aea, 0xa8e5e66d, 0x2ebf1f2f, 0xf6ec069c, 0xaf3a26be, 0x0558bf0f,
+    0xcf9fe2f6, 0x09163ad5, 0x8b7199c7, 0x8a6fcae7, 0xcc19083d, 0x7864d4a4, 0xfd7ea27c, 0x6873108e,
+    0x614af0bc, 0x9ab1a3d5, 0x9311d8e6, 0x9c455379, 0xdb3e7ac2, 0xe2d1fb9e, 0x728fe345, 0xa48db2e0,
+    0x67aa436b, 0xe344b4df, 0x5f4f252a, 0xb4f6b601, 0xb4e8059e, 0x06567332, 0x79d0d3bb, 0x451640cd,
+    0xd081f8d5, 0xd46c3004, 0xce5053e3, 0xaa10152c, 0xc23d9bba, 0x12513ddd, 0xbe98ff61, 0xf0485e67,
+    0xb14af76d, 0x800ba8b3, 0xc1558e61, 0x5232c9b4, 0xfd26f396, 0x37dbab4f, 0xf86db62c, 0x4bb18367,
+    0x44f6aaad, 0xe3393cae, 0xa94e0a81, 0x2fbe40f8, 0x5e79a54a, 0x2dac613e, 0x6dcfedd5, 0x02dd17d4,
+    0xab758370, 0x37893150, 0x38b15038, 0x3cbfe57f, 0xee12147c, 0xf61a7d8a, 0x46dc7588, 0x29ef3abd,
+    0xf5e807ed, 0xb922a8d8, 0x4dcede6b, 0xead36b85, 0x360c9f3f, 0xe1fe3823, 0x0b7230ba, 0x2f46fcfa,
+    0x13542eb0, 0xe3eade93, 0xf701e23f, 0x1820b014, 0xaded4d7b, 0x34b2ee78, 0xee67bfcf, 0x6536cd78,
+    0xb48a8943, 0x02dfcf70, 0x88cf8da9, 0x7c4d2276, 0x421c7af7, 0x64613eb8, 0xe10b650f, 0x7d357ff3,
+    0x93331860, 0x227b3a52, 0xe5a1278d, 0x1f13b4bd, 0xcc1d5134, 0x5b850def, 0xc6cbb666, 0xfa14a9b7,
+    0x459f3073, 0x04df5c6d, 0x724ab0d7, 0x85089d49, 0x08c9326c, 0x421d8caa, 0x46ef5753, 0xad6c8af0,
+    0xb104029d, 0xaa566534, 0x48ca5cbb, 0x3dcf3d14, 0x44b3cf0c, 0xf91f5d09, 0xd6e29723, 0x6afd0771,
+    0x643c7b53, 0x2e793836, 0xffe6b6d1, 0xb0e5c86a, 0x4ef1e5a0, 0x876a017e, 0xfe0f2ee1, 0x07b1f011,
+    0xa40c330a, 0xaf0ad16a, 0x165fe51d, 0xbf52d7db, 0x500fdccf, 0x3f6d7f52, 0xdcc470e0, 0x2d9c6b69,
+    0x96895f02, 0x5210c280, 0x4a2048bb, 0xa3f44eef, 0xebdfaa62, 0x2d1fe317, 0x8bd2b91f, 0xfe79ecf7,
+    0xda305603, 0x018d9ff6, 0xafceaedc, 0x498b7057, 0xdc5cba47, 0x2a4dbbbd, 0xdedcd7a6, 0x152d0272,
+    0x8f9a8867, 0xd8193d38, 0x341d28ca, 0x24550fb9, 0x43bb5598, 0x48bb9ce4, 0x854441c2, 0x44683c7c,
+    0x05264c43, 0xed75d2c4, 0x3041e93d, 0x17ad8ebf, 0x388318ac, 0x0da7efb0, 0x2b72ed34, 0x656f34bf,
+    0x81438f6a, 0xb31ece48, 0x88c3f035, 0x75b30218, 0x1537b534, 0x7bca937e, 0x326a9ffd, 0x895ba234,
+    0x5976df9b, 0x63ce2dbd, 0x37cbe88f, 0x8c5f7e14, 0x30b03539, 0x004197a8, 0xf69bf986, 0x58a3c40c,
+    0x755b6758, 0x8b6e854a, 0xdd3759cb, 0xeb01e8df, 0xa3951384, 0x0fbcdfcb, 0x47b4939a, 0x8f76a1e6,
+    0x7e8cca28, 0x275431a2, 0x7240c4f4, 0x51a84156, 0x22ff2a0b, 0xd6a0cda0, 0x19e2f96c, 0xf991698c,
+    0xe9f92136, 0x2a5b23d9, 0x5616f752, 0xc1bc405f, 0xe7c24eac, 0x54d3af9b, 0x1a1d89dd, 0xc5a8b496,
+    0xf912a9b7, 0x34eb7b8e, 0x782d6952, 0xaf01ce73, 0xe7afca6c, 0x6f341b80, 0x7500cce9, 0xdb27464e,
+    0xd55b15a7, 0x1c84bb4c, 0xb049b2cd, 0xcd45ed75, 0xad56ad5d, 0xcf4e2fb2, 0x53f0eaa7, 0xf2ea62e3,
+    0x6bc86253, 0x09496d99, 0xa3c96317, 0x3dd6aaaa, 0xa967ee84, 0xf6799b97, 0x2c41ee05, 0x3737d302,
+    0x13cb3fe1, 0xf59441f1, 0x76ff28db, 0xc0ef127c, 0xd23d89f9, 0x215f89ed, 0xc55d1a9e, 0xdbdf5dd9,
+    0x69178b2f, 0xe8407591, 0x9bc361b3, 0xb3416bcf, 0x1363372c, 0x60b3e1f2, 0x298a9009, 0xe6b092b7,
+    0xb8ddbce0, 0xf287b67e, 0x6c6bd252, 0x7155fd61, 0x46c39c5f, 0x4bdcb089, 0xf6731e1c, 0x46a33726,
+    0x489a2f66, 0x59fc5a3b, 0x5f16f032, 0x9b61158f, 0x88c6ab00, 0x08af17ea, 0x63b90de0, 0xb9767134,
+    0x16617b02, 0x8ebbee9c, 0x4e5f3a91, 0xa3a8183a, 0xced680ed, 0x44ff2972, 0xc1bc5c9d, 0x54bf3ad6,
+    0xae1c157c, 0x3c4a96f1, 0x1c097004, 0xea869fe6, 0xb311c45b, 0xd814c8c8, 0x398731b4, 0x2befbe44,
+    0x14749de2, 0x38452af9, 0xf41a4f81, 0xb92cbbfb, 0x41fc734f, 0x803732ba, 0xe72d18ae, 0x5b492974,
+    0xd532d124, 0x432f5c0c, 0x9f0112e5, 0x4a656b67, 0xd94ba7e6, 0xf19f13b2, 0x8915b9e2, 0x2081e633,
+    0xfcec9b2c, 0x2546638d, 0xf5032353, 0x1d4b7864, 0xff34056a, 0x626a9a8c, 0xfd584a2a, 0x5cec6ba9,
+    0x8d65bd05, 0x94e86c9c, 0x271923b1, 0x2d4031c4, 0x6816162b, 0xfcc5120d, 0xe53c95c6, 0x57faae54,
+    0x96be1cef, 0x640424da, 0x312d0326, 0xe6a08d27, 0x34221944, 0xa076a881, 0x7bf61862, 0x855b8d78,
+    0x38a52a60, 0xb495e50a, 0x5986bb79, 0x41bb9b09, 0xab72ef05, 0x4102f80f, 0x78dcda25, 0x7a7b2f4c,
+    0x6f6bb899, 0xbd780f9f, 0x0ef881b2, 0x137f7958, 0xd46c0223, 0x1a9f37fe, 0x7605dac6, 0x0829ae3f,
+    0x9048a487, 0x44c60855, 0xa8c7e4bd, 0xbb6ec6b0, 0xabffb07a, 0xc4762dff, 0x26f1e1bf, 0x5194e003,
+    0xbf6049b2, 0xf202468c, 0xedbf893f, 0x804fe41f, 0x73f99c0c, 0x9457d943, 0x8e9caae1, 0xb6d72fa5,
+    0xfb9e5535, 0x2068cba3, 0xe974e841, 0x197328e5, 0xbd6f776a, 0x060a286b, 0xa52024e1, 0x7554c4f9,
+    0x942395d9, 0x3ad18462, 0x29de2420, 0xe13dc8ea, 0x9df47202, 0x3c7b6e87, 0x218b6dbd, 0x95bfe64b,
+    0xa134732f, 0xa2bf3352, 0x33b37648, 0xca3748c3, 0x98ce2e6c, 0xf86d2040, 0x74949c6d, 0x8a94a6ae,
+    0x768bc031, 0x99349422, 0xf89202f2, 0x459ffd31, 0x8bc1ca9e, 0x459c461d, 0xfe372164, 0x4e430690,
+    0x31333818, 0x42eac956, 0x2300a3e8, 0xd7e6e9db, 0xc36543a0, 0x52d6fc89, 0xd307448f, 0xa07d053d,
+    0x4233ddcd, 0x7bae1f65, 0xa3018db2, 0x9f609021, 0x1de4aa1d, 0x3f089d97, 0x4de0115f, 0x6bfac6c5,
+    0xb7baef37, 0xe0f26ff6, 0xe9f159a1, 0x2fbcf43c, 0xf6e0ed4b, 0x0d27e9ef, 0x1080159f, 0xcfe1f849,
+    0x0fee5557, 0x793dffe6, 0x09a3b4da, 0xecaa11fe, 0x84671162, 0x877f8eb7, 0xc364aab5, 0x56b2076b,
+    0xad0476bd, 0xf5e1d953, 0x3db522e5, 0xb8a7380e, 0x4f244763, 0xe35d1f91, 0xe671213e, 0xb33c62d6,
+    0x56d05656, 0x45349bf1, 0xc7bd774b, 0x51ece5dd, 0x682accc9, 0x05d42379, 0xb5202d0b, 0x1e50978b,
+    0x9d04f928, 0xc73a9a59, 0xf1f9600e, 0x6e8205f2, 0x43226bf4, 0x8cfb2a98, 0x9cacbbfa, 0x30f98ffb,
+    0xc56e9660, 0xb522ec3d, 0x80439323, 0x733d39c7, 0x521d9870, 0xf9813ed7, 0x6667694c, 0xb91ea5eb,
+    0x3050bb12, 0xf0c84282, 0x637b8bc3, 0xb760ec75, 0x20f9e021, 0x1f63a557, 0x2d29c62c, 0x8ac9255f,
+    0x96c73770, 0xa77c87b9, 0xfaf78911, 0x4cdd0832, 0x9e877b70, 0x4b6d4d63, 0x853eedcf, 0x9410833e,
+    0xdf87133a, 0xade5a111, 0x41a5c25a, 0x66288947, 0x7a83074b, 0x1baaeb4c, 0x1624c9ac, 0x28bd1f1b,
+    0xd67811d9, 0x005cd97a, 0xa470308e, 0x17b7af01, 0xce4e815b, 0x65f58ec3, 0xb77c9f00, 0xa8a69db9,
+    0x1cb6421e, 0x167d8fe9, 0x39c9ed3d, 0x2559a1d8, 0xaba9ec19, 0x02f381d0, 0x071fce16, 0x95d59f69,
+    0xaf950044, 0x4075b631, 0xbfe87447, 0x21906910, 0x1f4f5a09, 0x3a4f19d3, 0xffec0b7e, 0x1ee438e6,
+    0x2928f81d, 0x7d8d483b, 0x5bb42ed0, 0xc79514c1, 0x66302302, 0x198eb59f, 0x9392578d, 0xf5bb9c12,
+    0x74fc5de9, 0x37a2d65e, 0x74952956, 0xe1de9141, 0x28c11c89, 0xfa32b0cf, 0x3d382be5, 0x9f308c83,
+    0x15246428, 0x2416fc8e, 0xecb5def3, 0xf6817846, 0x48c54e50, 0x27e99bad, 0x54031a20, 0xee3a885a,
+    0xa9a8e690, 0xcad90cdb, 0x69bfeb51, 0xe835cf9d, 0xe8491e40, 0xe383e153, 0x0240f475, 0x4266b528,
+    0x007650ff, 0x5e2aa4da, 0x9b391070, 0xb34b6280, 0xf5b08323, 0x5e738b97, 0xa3873fb4, 0xaa8eb12a,
+    0xd0217309, 0xd7ba2c96, 0xcfb786cc, 0x0cdb8dfa, 0x6481b0bd, 0x9723dc01, 0x970584c8, 0xd095eacb,
+    0x2f736565, 0x1c9415c3, 0x9fa237cd, 0x409b8059, 0xadc62346, 0x6c4fc97c, 0xaa461ca7, 0x35f56777,
+    0x60fdc212, 0x8f76b926, 0x4a9aee61, 0x5b671f0d, 0x7f4a93dd, 0xac73be50, 0x17cc0d0d, 0x51f837e8,
+    0x299fc246, 0x23807d78, 0x0f3a4956, 0x55c6c047, 0xbfd6b669, 0xf77ce34c, 0xca347b51, 0xc09ed53e,
+    0x59d4802f, 0xd1658856, 0xdb3e2bf3, 0x8316632f, 0x509ade32, 0x9eecb92c, 0xab27e2af, 0x3ed9003c,
+    0xebf9f32b, 0x2028b391, 0x57a9f800, 0x1ae8f09e, 0xb0a5ab5a, 0xd9b62144, 0x6928e170, 0xb86c3628,
+    0xf192d952, 0x1c0184de, 0x283d9aee, 0x13733974, 0x74c0af71, 0x4eaf8fe3, 0x294a0a0d, 0x4c38c805,
+    0x3dc9abf8, 0x8c7871db, 0xdd81c9fe, 0xb70f0005, 0xf7c06073, 0x4736693d, 0x368fac16, 0xd1e8ae2f,
+    0x9a917b9e, 0xdb271e1f, 0xf6bfe02d, 0xae629fc7, 0x06dd7c16, 0xde89e04d, 0x91ded12e, 0xf032124d,
+    0xe3133aa3, 0x8f1fa4ac, 0x2b8c9bf9, 0x6daa49aa, 0xa0a78ec2, 0x6d4beddc, 0xf0126d26, 0x07276251,
+    0x83d6d7ad, 0x58f892c1, 0x516d1906, 0x6f55b950, 0x008c0f2f, 0xcded7d9b, 0x14556406, 0x14c811ff,
+    0x4eeba4a0, 0x77f54569, 0x4b6cdeca, 0xc370510e, 0xfaa9dcb4, 0xa4b1f40b, 0x222b4bb8, 0x312b1874,
+    0xc6078495, 0x55496af0, 0x9f216d3f, 0x225dabee, 0x39c45071, 0x3f287b25, 0xf64178ed, 0x7331f73d,
+    0x013517c9, 0x0906917f, 0x7647571c, 0x2cf8c62e, 0x7ea54aa5, 0x940d999d, 0x58899c13, 0x95c92e4b,
+    0x00000000,
+    0x0105cf0a, 0x9d236d59, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0226156424291633194186662080095093570025917938800079226639565593765455331328 */
+  { 0x00000000,
+    0xc31d3f02, 0x79b7d2df, 0x570a6165, 0xd982de26, 0xa72d5086, 0x2cfce6ab, 0x7e7a3dc7, 0xf1b14186,
+    0x40e44412, 0x2e5449f9, 0x0b22f44f, 0x2f728049, 0xd30926cc, 0xc112bf1d, 0xd1a1901a, 0x2593da93,
+    0x3dd1e676, 0x595e428d, 0xad912951, 0xe0247056, 0x2ea06ea7, 0xbe71ef7f, 0x5d8ef7fc, 0xde7a0ab6,
+    0xd7189e47, 0x20d23527, 0x7fd20fdd, 0xd93c23dc, 0x4224f0e6, 0xbb1d51ef, 0x19a2b772, 0xaeed660f,
+    0x8fc23bb1, 0x61cc1963, 0x85cd124a, 0x2e5930da, 0xea8703f9, 0x46520c6c, 0x3ed719a6, 0xc84706c8,
+    0x623768e1, 0xc3d67335, 0x0d0d1a2c, 0x15915e9c, 0xeebd68c9, 0x7b6b1563, 0x0b5af339, 0x6ef5a7f3,
+    0xf547a19f, 0x1492475b, 0x2f6b2e87, 0x205dc0b7, 0x01917513, 0x99429e58, 0x0e162a5a, 0xeee41b9d,
+    0x0c0453d8, 0x35992098, 0xa905a0f9, 0xfd46d703, 0x7031addf, 0x5d535d3a, 0x7414de7b, 0x11008099,
+    0xba33e561, 0x0cf05804, 0xe153c9ba, 0x548cd1a6, 0xd0da966d, 0x8ed1cf7d, 0x88c57053, 0x365199f5,
+    0x0d0ae53a, 0xd6e61b09, 0xed74d777, 0x01129bf6, 0x31482661, 0xbe0017be, 0x8231837c, 0x1242334c,
+    0xf1acd28b, 0xeae3b691, 0x66738570, 0x4b3a956a, 0x97ff4b83, 0x88483f7b, 0xe37df65b, 0x361b4ad7,
+    0xb2915969, 0xfed56024, 0x97ea822a, 0xb48eb316, 0x1058e778, 0xb92f276f, 0x8b498426, 0x1cc58c81,
+    0x4d9406b5, 0xd30080ea, 0x93d0ecbc, 0x0013e05f, 0x9688a862, 0xa79ec55a, 0xac9750d8, 0x3386d9c1,
+    0x4dd63a37, 0xfe32c178, 0x45b4e8fc, 0x7cb592fb, 0x0a54254f, 0xcfa37180, 0x733a7915, 0x5db13761,
+    0xe5250a4f, 0x91a0cd68, 0xd0505416, 0xfebe8db9, 0xa04b1f33, 0x6a80dd20, 0xd08f4153, 0xf5dfda99,
+    0x2e99fc32, 0x499beec8, 0x42381c8c, 0xcd0df905, 0xe22a3bdf, 0x50b658fd, 0x5bbb3d66, 0x08548fa5,
+    0x2e1c0c2b, 0xadb1fdfa, 0x1e07fc29, 0x32c11643, 0x24208b40, 0xbc4b868c, 0xbb1e2cbf, 0x3991fc99,
+    0xa76f7862, 0x3d98ddbe, 0xed94e416, 0xc52f9bf1, 0xe690bbd2, 0x4496885f, 0xec758a68, 0x16fc782b,
+    0x0b8249f4, 0x1ebeba7f, 0x2cdf76ec, 0x81ac6461, 0x501f4c78, 0xf68f3bbd, 0x508a9896, 0x026dea8e,
+    0xf885ed28, 0x040b161c, 0x2e7df1dc, 0x434a4c2e, 0x95936225, 0x3682379f, 0xd5146367, 0x4c5ef765,
+    0xd5d0526e, 0x498a86d0, 0xbbec989e, 0x0f74e18e, 0xa7e4189e, 0x3d1b40db, 0xa6f7aae2, 0xc9632042,
+    0x63e44185, 0x21dfef74, 0x5e08e329, 0x996863a7, 0xf6f5b060, 0x207cf715, 0x1f9f5810, 0xa352f4c3,
+    0x1fbfbf98, 0x6d6caae0, 0xfb59ce87, 0x3d27c962, 0x34c46173, 0xf9b53af9, 0x8cf0222f, 0x684d6ba0,
+    0x7d635a8a, 0x529ef697, 0xfcfd02a8, 0x58461655, 0x01e72479, 0x8a66aecc, 0x5c30f508, 0xbe7801bb,
+    0x28ef2817, 0xc7cb2bb2, 0x71544a7d, 0x83592014, 0x9f1eccb3, 0x62e05517, 0x47eef872, 0x83d793e6,
+    0xc53b6ae2, 0xe6daff67, 0x68faea4d, 0xad455a8d, 0x1c7db2a6, 0x610a0b81, 0x8671629c, 0x6efca5ef,
+    0x59d09224, 0x52735e37, 0x78d69b63, 0x5e007505, 0x98a2f84e, 0x29a2f7f2, 0xda59c77b, 0x73ac1177,
+    0x815c6174, 0xb26bad30, 0x46db0fe8, 0x4e226a4a, 0x84246130, 0x7ce0b643, 0x3f2bea01, 0x2028a37c,
+    0x6ac305ac, 0x0f36b982, 0x2709331d, 0x681527d5, 0x9688ba21, 0xcda02990, 0x0930cb1d, 0x794d7795,
+    0x31333441, 0x6ebb863c, 0xe59d84eb, 0x8c61123c, 0x142c924f, 0xa1f5f3cb, 0xd4d0e774, 0x581178d5,
+    0x4324c9e7, 0x26586608, 0x629ca2a6, 0x7f67f08a, 0x5bbe5743, 0xaf747aa0, 0xc3fa96c1, 0x92e3a133,
+    0x510ec8bf, 0xb728f76f, 0xdd52de08, 0x540192cf, 0xaa440cae, 0xd8a89652, 0x309dfa5d, 0x67e79849,
+    0xe1e22ac8, 0x3cc3e183, 0x05d8a2fa, 0xe27e476d, 0x96b31c57, 0xe5632b0a, 0x80a69f9c, 0x2f1fe3e3,
+    0x6c4b4f90, 0x8da60926, 0x4337b2e3, 0x91e2ca5f, 0xa9e08aa2, 0x2ff77984, 0xb576ab5b, 0x87f01f11,
+    0x7752c47f, 0x5bdd6e17, 0xb887e6de, 0xc7b66d0f, 0x8209ffcb, 0x79b64cbe, 0x4042ab7b, 0x75028554,
+    0x45214638, 0x5ea49bf0, 0x984f1195, 0x7f44e847, 0xdc712bb5, 0x24f9c7fa, 0xf568ffba, 0xa7360693,
+    0xf0bc4dfd, 0x4dccc90a, 0x4ac23ee8, 0x24f3f163, 0xddb8a8fd, 0x0b3ff30c, 0x93979e8f, 0xa452e882,
+    0x232b4766, 0xc35fcdab, 0x391b9981, 0x08d74ff9, 0x9bcfcd26, 0x82fb9b34, 0x596052e3, 0xedbcd7af,
+    0x62080dc6, 0xf90a25eb, 0x5c5002fb, 0x47d3b92e, 0x40db9627, 0xabf6d3f6, 0x68939a4b, 0x8007f09e,
+    0x5ecc7160, 0x7875d6e6, 0xa972f567, 0xf58b6675, 0x7d8d7803, 0xe1104018, 0x2eb7ae6e, 0xe0e4da42,
+    0xbf76cfea, 0x7e1fa81b, 0xbf50b475, 0x4cdfc342, 0x8ff9c7ef, 0x0ed3f8ab, 0x464eff77, 0xc8635922,
+    0x00638ad7, 0xfef630cc, 0xdb363384, 0xe55c9115, 0xe0b2a347, 0xfe0b2f81, 0x3835e26a, 0x286f0621,
+    0x636af947, 0xdbfac695, 0x3d34c87a, 0xbc785f63, 0x9be326ee, 0x881d25e9, 0x0c35bc81, 0x252ba1c2,
+    0x651d4109, 0xac290e78, 0x364708fd, 0x0f691b1b, 0x668cea67, 0xbe59a00a, 0xb5351160, 0x93018b14,
+    0xc03ee9e6, 0x868de66d, 0x95144f7e, 0x3754ba77, 0x25252ce6, 0xf18b45c9, 0x61c4d437, 0x8ebc10e7,
+    0x0fd3d796, 0xafcdb2fc, 0x29f95819, 0xe9d37ad5, 0x2b77d579, 0x7fa0e670, 0x95faaf4f, 0x85264cf7,
+    0xb8a19c3c, 0xdc6031b9, 0x1bbd11fb, 0x50925228, 0xf56cc4cc, 0x49d8d680, 0x415fa036, 0xdcae639a,
+    0xc78632c7, 0x2c8a0990, 0x26aa2797, 0xd39c302c, 0xa386b108, 0xdda809b6, 0x6418a8fa, 0xd1027342,
+    0xd82ee069, 0x1d067cb6, 0xb75333bb, 0x22ef13db, 0xe5c467f8, 0x95303bd8, 0xaac45b2e, 0x073931ba,
+    0x3e220ac8, 0xf699963d, 0xe043b11e, 0x1acb5342, 0x39d866fb, 0xc8737886, 0x7c876b44, 0x4880e12d,
+    0x04a85528, 0x78e1189c, 0x7b668408, 0xf0e10034, 0xf7202ba3, 0x4507b707, 0x9e744ce6, 0xa659aeab,
+    0x569b8a46, 0xa7017f88, 0x907fa275, 0x1df0cbd3, 0x251e642f, 0x4fd73aa2, 0x60818aa9, 0x5c7363c6,
+    0xea63fb99, 0xb0b9281b, 0xbde9a187, 0xc70f8a1b, 0xb1098d2a, 0xddccd43c, 0xfe456f1c, 0xd0055669,
+    0xe71db488, 0x29542f4d, 0xa0d01e89, 0x0050d6e1, 0xada657d3, 0x0d115bfb, 0xd6ee09c1, 0x7b523adf,
+    0x39a87335, 0x7b93e7ef, 0x8313de02, 0xc5646fb8, 0xf490d288, 0x9d1b27a0, 0x7b7acf21, 0x14733606,
+    0x1d50d30c, 0xcc4194dd, 0xfa7181c8, 0x60fdde6e, 0xe495b10c, 0xdfe6d0cb, 0x65cc7bfd, 0x501e053c,
+    0x3a6c95d7, 0x8029cf05, 0xe2d40980, 0x90237021, 0x85222685, 0x4ff97f05, 0x4185de17, 0x8cea6736,
+    0x409f9b1c, 0x49177d6e, 0x38111686, 0x2a47fe26, 0xd3b6a42d, 0x991be4de, 0xe9681fcc, 0xccf09952,
+    0xd602912a, 0xbbfebb61, 0x3e9d7923, 0x82e73e01, 0x6d926d98, 0xe34b849c, 0x02683af5, 0xf44f26a7,
+    0x83a9b9fe, 0x8e467543, 0x8a445589, 0x7914b3a8, 0xdb45986e, 0xca237658, 0xccca1d4c, 0xbf686085,
+    0x517936fb, 0x42767ddc, 0x3f82f004, 0x6781ab75, 0x11a82058, 0xe1b78c10, 0xaec95fef, 0x8d89fe6d,
+    0x946a8a65, 0x0ce67ac4, 0x78f74e61, 0x2f5c437a, 0xfc2c1beb, 0x5f34c8d3, 0x892fc5b0, 0x646079d4,
+    0xfa8666e7, 0xf2ffbf7d, 0xca8a16c5, 0xe1b4fc92, 0xfdc7b742, 0xb8447387, 0x40dd5314, 0x3ff241cd,
+    0x3fc9e10a, 0xab37a393, 0x265f1b0f, 0xb22debc4, 0x569f7bc4, 0x6390e8fa, 0x71aff38a, 0xbfca1f32,
+    0xe4ea5dc8, 0xe1098861, 0xb6fc9cc1, 0xcbfcd904, 0xa419753d, 0x8f645e5a, 0xc54ad62b, 0xd1dc4566,
+    0x501683c4, 0x006afaea, 0x013a1e76, 0x0e79c811, 0xd51231e2, 0xab39458d, 0x6b4d8d94, 0x4e992a9d,
+    0x2d1f98b7, 0xa60f662a, 0xbe836d4c, 0xe03fd915, 0x3839e6ff, 0x96fd27f2, 0x3afbc0d6, 0x324f1840,
+    0xa01f6c7c, 0x34d519ce, 0x213e6065, 0xc289edf9, 0x8e13060d, 0xdf5edcb6, 0xb417fb1b, 0xd63a60e4,
+    0x610933d4, 0xc5488c33, 0xd0df74a6, 0x30ab5958, 0x31de241c, 0x82fc3dfc, 0xb7c3b253, 0x2268d6d0,
+    0xdec4685d, 0xfba2db33, 0x60d23c9d, 0x3d7d9bbf, 0xb5dafeee, 0xbb1fe698, 0x11ed2f59, 0xd64a22b9,
+    0x0ba68ffb, 0xa0f9f044, 0xa1c769bd, 0x2bb74e5f, 0x8901aa9a, 0x5a5885a6, 0x1c548b55, 0x1a489620,
+    0x47c5f882, 0xc1d07e1f, 0x977ab259, 0x2a7bd379, 0x52f5e85a, 0xcbe58bdb, 0xc4bb0bb4, 0xfc4d3cb7,
+    0x5d3feba5, 0xeafa3653, 0x60c2f983, 0xeebf6248, 0xd3082f64, 0xe5646efa, 0xe9bd5151, 0x422cd2ef,
+    0x97d8d3a9, 0xdad05b0d, 0x1770bfd8, 0xe9953b0e, 0x64ba276d, 0xa3a1b01d, 0xd3a39beb, 0x85d53ea2,
+    0x33499691, 0xc0e79fb2, 0xf290cde9, 0x9ea69457, 0xa303d6be, 0x75070169, 0x19d27ef4, 0x12991f70,
+    0x97c550c4, 0x0e464be5, 0x80fa4a01, 0x7e1081cb, 0xf8854f85, 0xbaa71504, 0x72e8102a, 0xb7e0518b,
+    0x19d257d0, 0xee38afb4, 0xe1d8efd2, 0xb0490b77, 0x4aff1111, 0x0b6f93a7, 0xaeb77740, 0xd88a4cd4,
+    0x2506ee1d, 0x92233d2e, 0x00948945, 0xfb6f1f76, 0x90fcc770, 0xd93ef637, 0x7bbb7e85, 0x82b8ba85,
+    0xca913162, 0xd42b7431, 0xd5667a15, 0x4544b8fd, 0x4c371320, 0x2931f0c3, 0xc613ddb2, 0xf250abbf,
+    0x5ef569ac, 0x093cb8e8, 0xe42cf61d, 0xc92c07fe, 0x5e8d7725, 0x28836eea, 0x08c1d195, 0x494981a4,
+    0xc9eefc85, 0xb2d42d26, 0x021bdf6f, 0x554b35a4, 0x8e2470c5, 0x06e45723, 0xcecb5b32, 0x310bbcb1,
+    0xeb776b83, 0xab44cabf, 0xfbbe76bf, 0x6ff1a5d1, 0xa1611d20, 0x662f67ca, 0x549c7be3, 0x4a4d54b6,
+    0xaee8741c, 0x66d347ed, 0x831164a7, 0x88861475, 0x0ee4317f, 0x1c5ac9ec, 0xe46baa73, 0xce8146d3,
+    0x2585ede7, 0x657c6182, 0x4bb95d5a, 0xb4a12e69, 0xe309878e, 0x9bed4500, 0x9dc0200d, 0xb98abe6a,
+    0x39c0ba50, 0x6da6ff58, 0x6866d7a6, 0x58bfe373, 0xeddeb240, 0x1e66fd7a, 0x080e2bed, 0x95bbd0d0,
+    0xe8253da9, 0x2801ba93, 0xc8c27ddf, 0xf8094ba6, 0xd8f7a46b, 0xb78291bf, 0x334b03ec, 0xcfa91ee3,
+    0x2fde37d5, 0x730cbed0, 0xf7f3048f, 0x86fccdbf, 0xc47c7f40, 0x95c0eacd, 0xc4e59944, 0x6bfb98c3,
+    0x7c8869fc, 0x4be93d92, 0xd577cc9b, 0x701ef6e7, 0x3b8a094b, 0x62d8c326, 0x8b92c535, 0x1aec2426,
+    0x44707754, 0x3c0897b7, 0x41b46636, 0xce29c2fd, 0x7bbdfc93, 0x136abcd7, 0x54c24762, 0x755a005b,
+    0x229cc962, 0x7f2cc5b4, 0x54d62266, 0x72672fdf, 0xb3313128, 0xaa5bad28, 0xa665daf2, 0x45988717,
+    0x227b6e6f, 0x2ac33ba1, 0x0a256b9f, 0x1259dab7, 0xc3754ac6, 0x19457715, 0xde98a9c9, 0x963a5b27,
+    0x70fae7e5, 0x8867ac8b, 0xf66f1faf, 0xbe20b744, 0x65d81ec0, 0x0a3a2198, 0xd9713f7f, 0xf43e6313,
+    0x167776a1, 0x2434a0dd, 0x5d95e0e8, 0x7fade3c3, 0xe89b16fc, 0x1fb98524, 0x2cc60f1a, 0xee24591e,
+    0x863d4830, 0xd7d546dd, 0xd045a710, 0xe155c095, 0x9bf81372, 0xd16305a5, 0xb64f7598, 0x46e0f5ea,
+    0xcf126606, 0xa060876c, 0xdb19d330, 0xff4af65c, 0x424e4cdc, 0x1925e91e, 0x6259f71f, 0x519c829b,
+    0xc4c9cd75, 0x96f4fe37, 0xc4f7a0e3, 0x517baeea, 0xd3469ee5, 0x05d82ddc, 0x18e84de5, 0xd27b1017,
+    0x4c569a2d, 0xac5d7663, 0xf7e39a24, 0xb70e8066, 0xe037fe26, 0x98715af6, 0x41818313, 0x6b5a74b7,
+    0x8d7e86d9, 0x74563c44, 0x1fd4b18c, 0x2ba6bbc3, 0x907e25e9, 0xba37d95f, 0x6141360e, 0x701af887,
+    0xc3cb1427, 0xd5a09762, 0x77b6e507, 0xf618cf25, 0x66a37336, 0xb886a6d1, 0xf486d399, 0x8e8d5c55,
+    0x5c75652c, 0x242f6638, 0x383306f8, 0xaf9c5b7c, 0xa2501f2d, 0x1afea96b, 0x5f60fa69, 0x0bcbc223,
+    0x38c59aee, 0xef210131, 0x26c6cbbf, 0x0848073d, 0xeefb436d, 0xf92bfd04, 0x056f82e6, 0x79162671,
+    0x8033c509, 0x7f1b1e13, 0xbc4bb1f7, 0x8277a333, 0xc325a0b1, 0x4785ae5c, 0x98ab8408, 0xf4f44fa8,
+    0xd20dba6b, 0xc068b0e4, 0xa672e0ac, 0xa2afba36, 0x9385898b, 0x7fbaa9f9, 0xa8d96a61, 0xf51c3fbb,
+    0x35922ecb, 0x1810e950, 0xad55f076, 0x4eb9e504, 0xf024ea09, 0xaa28662f, 0xf4ca2ad0, 0xd2b6f1b0,
+    0x4eda108f, 0x6a90ea89, 0x8dc18d23, 0xc4bb48c6, 0x9db93112, 0xd23e07f0, 0xdb9334ee, 0x211eb608,
+    0x4b8b2f7e, 0xdfa7e2eb, 0x440ff927, 0x4d40c7fc, 0x22b465c5, 0xfc459b5f, 0x62d3de91, 0x271caf9f,
+    0x2f1cf0cb, 0x522602da, 0xaad24720, 0x57e7a7ae, 0x6f042e84, 0x7d841e32, 0xd8e190f2, 0x52a73f1a,
+    0x847c2391, 0x461f9cce, 0xa0910b40, 0x782a30aa, 0xd4332f9b, 0x31e27601, 0xa2f84453, 0xb5328779,
+    0x77ee3be0, 0x54e185a1, 0x79973475, 0x3d6015ba, 0x7fa01fbd, 0x3e097c88, 0x69ab2fe1, 0x238aadcd,
+    0x31b81aa7, 0x223c20f2, 0x880e88f8, 0x0075f8e7, 0x59457206, 0x6ed844b7, 0xa4ceefb7, 0x7e4be592,
+    0xf6499c49, 0x0dbf26ea, 0x35156b86, 0xb213b251, 0xd2ddc123, 0xa9e0a088, 0x5863610c, 0xc2693901,
+    0xef5e2b25, 0x5b23913a, 0xabfc6bd3, 0x4912e31a, 0x1a84476a, 0x734cef73, 0x2a388216, 0x4d6ab6e4,
+    0x7fed6e6a, 0xd0c5e03a, 0x5101662e, 0x337c443e, 0xdb900a5d, 0x5c8d2089, 0x3706e686, 0x7eff83dd,
+    0x308f90bf, 0x874ce3df, 0x97f348ca, 0x73954755, 0xea59e5cc, 0x2ae20268, 0x72366f0d, 0xa3411a55,
+    0xa4227da8, 0xb4d45289, 0x6ce90886, 0x920a65b4, 0x6058b70a, 0x75fa406b, 0xcb9d62ee, 0x90d042b2,
+    0x250ceeb4, 0x9065811c, 0x97c95490, 0x7b638a94, 0x59c73384, 0xf0e11968, 0x6fec1c78, 0xf49ee9cd,
+    0xbd4e77a7, 0x07568816, 0x7c4d55bf, 0x55a71697, 0x58c45685, 0xf19b53e8, 0xdca79378, 0x56cf5c60,
+    0x0e206011, 0xdd16249f, 0x77e703d7, 0x4a38d4c8, 0x584331ce, 0xffdeb423, 0xeb5dc030, 0x9fed0023,
+    0x9b57a846, 0xa7255399, 0x670140c8, 0x3e5dfe14, 0x7137d7fe, 0xa9e706be, 0x747d3a26, 0x9684ff81,
+    0xa0efa819, 0x2ea3251a, 0xf9c98c14, 0xf53b7b4c, 0x85b904cb, 0x5d58b8a1, 0xb8e4b971, 0x062a32d1,
+    0xff7e14fc, 0xe85c9468, 0x6176a6b8, 0xc0736966, 0x624585bd, 0x5be752ae, 0x063c1cd1, 0x858c9979,
+    0xd8e4dfc2, 0xb7e5ec8e, 0x20f3915f, 0x03f86a30, 0xaed47474, 0xac042b36, 0xa9ae2b84, 0x972d9314,
+    0x9a88ba47, 0x3faf8a07, 0x337cef85, 0x647be56c, 0xe235ccf8, 0xbdf51660, 0xfa804c67, 0x9889fdb7,
+    0xaf8f9f98, 0x5265eca2, 0x506a7930, 0x1a671179, 0xa445a46a, 0x1c8d2dca, 0x8494f9e4, 0x4145f32d,
+    0x4956c416, 0x7834a82c, 0x47c36f05, 0xb0601e98, 0x90d80757, 0x36e612ee, 0xba35932e, 0x92858cc3,
+    0xf3220f72, 0x200cd613, 0x62296261, 0x0f2e9c8e, 0x850fbc16, 0xbd5b172f, 0x05e19c90, 0xc3d1babb,
+    0x00000000,
+    0x8082e784, 0x4e91b6ac, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0113078212145816597093331040047546785012958969400039613319782796882727665664 */
+  { 0x00000000,
+    0xef3c100f, 0xc2fdcfd5, 0xaf4ac5fd, 0xdc0f882a, 0xb6c875f7, 0x67b0d047, 0x913966e3, 0x71d8c4a0,
+    0xc7c6adac, 0x4906628d, 0xcc4322b3, 0x47d44e66, 0x4c4bf591, 0x056e1c77, 0x9fbb25db, 0x4b6a3568,
+    0xb9aeb966, 0xda70c078, 0xa5881b17, 0x93047ccb, 0x41485f43, 0x888f5852, 0xb4d87559, 0xbfb58d6b,
+    0xf4cb0037, 0x4bdb43bc, 0x35b294f1, 0xfd50d788, 0xc2ec4b3f, 0xfbe053af, 0xe481ada3, 0xa2ce12d6,
+    0xc18fb302, 0x7a153318, 0x130104ec, 0x7207d464, 0x7cf086ba, 0xcd7a4630, 0x51f39a4f, 0x4be3f95c,
+    0xf64b95e0, 0x080cc8c2, 0x2afd09a6, 0x70e62d7b, 0x65359151, 0xae2faba3, 0xd565645d, 0x22e511b1,
+    0x65a1ddb0, 0x5d8b64af, 0x8ea02718, 0xdd3c0906, 0xbcf7ee50, 0x91eb5120, 0x8799fe0a, 0xb9108de2,
+    0xadf112d8, 0x1406453e, 0x59ebfe1c, 0x8eca540c, 0x7113a6ac, 0x507f156a, 0xb9ec1d97, 0xc6538927,
+    0x8a10d123, 0x566c7825, 0x6746f3d6, 0x15516f06, 0x6097f3e0, 0x16ac1f45, 0xb1635402, 0x50061fc9,
+    0x341febf1, 0x10abeca0, 0x5b076e68, 0x15aeab26, 0x48b19684, 0xca239bef, 0x2e064ba5, 0xb69cf7ca,
+    0xde6c6d95, 0x9eabb1fd, 0xa227578d, 0xe16ae636, 0x4f2130c3, 0x15cce864, 0x35881ac0, 0x53d84e79,
+    0x5b226e23, 0xedb9ac57, 0x4ce71999, 0x3a8206e0, 0xf375e70a, 0x9ce4133a, 0x701497da, 0x4451407b,
+    0xa108f5ec, 0x90eb3ef4, 0x80365113, 0x8b249ca2, 0x81d5e455, 0xfa260faf, 0x6db91a04, 0xd9605594,
+    0xfe8e3fb1, 0xf94c0d39, 0xf81e995b, 0xbdb17bbe, 0xf1d6969e, 0x50b37166, 0x7b541d87, 0xa339f50e,
+    0xabf9a92a, 0x5b68f69c, 0xaa7bc0e6, 0xb9839ec1, 0x59a3d4df, 0x0752656d, 0xc1f2fa1e, 0xfbb11a9a,
+    0x9fe119aa, 0xfff180d9, 0x49f6b16a, 0xdecfe01e, 0x7a7b233b, 0x05882605, 0xed4f301a, 0xf1490692,
+    0xc4657603, 0x7024233e, 0xe6750f2d, 0x025094b0, 0x8313e570, 0xf103d7ab, 0x4141930d, 0x5c7c3323,
+    0x73ecea02, 0x1d3884cd, 0x2d64ca71, 0xbef4ee74, 0x92716357, 0x0a8907eb, 0x3004c6ba, 0x6ec5dd45,
+    0x8d08644f, 0x76616977, 0x7027f686, 0xdcddc0ec, 0x3e7d7954, 0x87361349, 0x62452ec8, 0xe2bfe4bb,
+    0x23f62309, 0x4569b511, 0x9b858b51, 0x67378532, 0x5f872f1f, 0xf1f5211e, 0x5ad468ef, 0x44b56f66,
+    0xec41e849, 0x2a7c575b, 0x9f1ecbd0, 0x261b226f, 0x51aba61a, 0x0b74a355, 0x94d8a80a, 0xaf640895,
+    0x82fac035, 0x945c036f, 0xcb6f4835, 0x7724544d, 0xe4a6b757, 0x3cf2008b, 0x1be1c3c1, 0x7304c0a8,
+    0xe309e5ee, 0xf9519bf4, 0x092035cb, 0x407d176a, 0xae4a9cd6, 0x0ace6a4c, 0xea86e85a, 0x4d61831e,
+    0x07b0bacb, 0xb11060a4, 0x1cecdb96, 0x0ed080b1, 0x4e00c48b, 0x1ffebd36, 0xb2bb22b9, 0xeea9aa62,
+    0x20e6ca99, 0x6ada0584, 0x245dbb0f, 0x7da9ceb7, 0x940e1dfa, 0x00ca3555, 0x144a7be3, 0xee837a0c,
+    0x2f5d9dfa, 0x1b96654c, 0x87fdda3b, 0x29c9c363, 0xafc54f33, 0xb391bfe5, 0x7e02e3bd, 0x146bf9e5,
+    0xed03b155, 0xe706e6b1, 0xbc5b2f55, 0x7ff656f9, 0x69d601f0, 0xe39f5650, 0xda5fdb9d, 0x109464cc,
+    0xac1c1d7e, 0x82cdb4f6, 0x71bba398, 0x80f2ba6c, 0xc55188ee, 0x31f61979, 0x0dbb9687, 0x640d58fe,
+    0xbe7ac7bd, 0xc05ff361, 0xa787950d, 0xbe767268, 0x5c2514fe, 0x93aedf60, 0xea1ef74e, 0x735fe381,
+    0x9dda8a37, 0x1ea550c9, 0x10d10aad, 0x2dcfa6b6, 0x6a18ab5f, 0x897f3554, 0x0caaa119, 0x43b2382e,
+    0x327f919d, 0xc0a9eabd, 0x3cbbb281, 0x17279e07, 0xdfae2329, 0xcc66e5ab, 0xc01e2c3d, 0x42a79aa9,
+    0xf7a82f89, 0x720fbc82, 0x84f578bc, 0x72a99a0e, 0xcefff6ea, 0x0e6e4a9b, 0xbf492dca, 0x6e200ad7,
+    0x7ebec09c, 0x9bcc9944, 0x20876ff6, 0x1b95ce64, 0xf787b2b7, 0xe73ed4be, 0xd2e80f84, 0x251107a5,
+    0x3020a478, 0x0445ca7c, 0x677f5385, 0x31b24e53, 0x45fe1346, 0x18afa534, 0xd4b29faa, 0x7d8c7510,
+    0x4167ea53, 0xce283c6b, 0xd6e113ff, 0x66213a3b, 0xfe9863ac, 0x879555a0, 0x19cddfbc, 0xed7ef566,
+    0x26f15f1a, 0x57d96fa4, 0x7b5fcc06, 0x2cacc314, 0x16b311af, 0xd44608d2, 0xe4cea030, 0x98275851,
+    0x1b0c3684, 0xdfc53750, 0xbdc683cb, 0xf07c0f95, 0xdb15ede9, 0x721a050c, 0xa85e170d, 0x30320605,
+    0xca1733b2, 0x8ad515f9, 0x9ee8534d, 0x842a8e24, 0x721385d6, 0x3fd00fc0, 0x3b30dc2d, 0x1b1fb2cf,
+    0xd7d3772b, 0x7e9c3be7, 0xd4299d00, 0x40bbb7dd, 0x74cfe9b0, 0x2a2d4a81, 0xd131b015, 0xb60c40a7,
+    0x8f0c3f90, 0x6a4ac49e, 0x464a5fa4, 0xc2ee2366, 0x1c395021, 0x2170a7fc, 0xa686b43f, 0x30178da4,
+    0xd6be85ef, 0x3d77043d, 0x47c6605e, 0x854269da, 0xdb604df2, 0xa8446f78, 0xc1db9d49, 0x5ed02d0c,
+    0xe9cade37, 0x8bf0db87, 0x2fe05163, 0x073fbb91, 0x32d02677, 0xd68ad38a, 0x46ba3540, 0xf60f05a3,
+    0x61585a5d, 0xfa5b887a, 0x43d5d1de, 0x08a13ddd, 0x391b1240, 0xfb53593b, 0x441f9b9f, 0x50d689d2,
+    0x003af0dc, 0x918ebd8f, 0x6dea5bc9, 0x3c106641, 0xf4bc134b, 0xed35771b, 0xb94155d5, 0x11e99e5b,
+    0x99c840eb, 0x6459ffcb, 0x85bb5ab2, 0x83173a81, 0xded28bd0, 0x31e375c6, 0x095f0691, 0x8066e24b,
+    0xa0ae9d8e, 0x4bf71e14, 0x511ce84f, 0xc68cdd83, 0x1c900107, 0xe5838ad0, 0xdf964d6d, 0x33edd655,
+    0x19e70937, 0x366db62b, 0x05b14b96, 0xecb5af1e, 0x236ab048, 0x8fb113f0, 0x675bb838, 0xe313485c,
+    0x33590e7e, 0x437ac647, 0x73ee2471, 0xf2b40240, 0xf674bc40, 0xeeac196a, 0x4ca2c74f, 0x63d50003,
+    0x53f12c5a, 0xf3dc1b4c, 0x97ff87a7, 0x54d1bebe, 0xcbede069, 0x00abfd9a, 0x15d7b96c, 0x06cfe1ed,
+    0xf763a70c, 0xa188dc36, 0x269d64ab, 0x6d86bef1, 0xca6f4951, 0xc591589f, 0x19053e19, 0xd5df5b01,
+    0xacec2b1b, 0xbdb1824a, 0x82b58f7e, 0xc5cabd3d, 0x04d9011a, 0x2180fbd4, 0x46824691, 0x1adc0610,
+    0x7c2029ee, 0xd8146c35, 0x5cd8d60b, 0x3eb7974e, 0xee265726, 0xadcea999, 0xcd12c9f1, 0x9601751b,
+    0x8b64c88e, 0x1f4170e0, 0x7577436a, 0x76e787d0, 0xd703e91a, 0xc25a4d28, 0x18082a33, 0x114ccda2,
+    0xee3d3eb5, 0x8508a024, 0x37eef5e1, 0x16e9f4ad, 0x5302c653, 0xd87bc673, 0x7fbcda09, 0x5d967925,
+    0x832c26f6, 0x749adc2d, 0xdd49b9d8, 0x1371f442, 0x70a87ef4, 0x6051df7a, 0xec82e6d3, 0x6fdf8fb7,
+    0xac4a7526, 0x0a7297cc, 0x0d6da9b9, 0xd4484143, 0x1c2a70a5, 0xb1f3f908, 0xd6f711a6, 0x84dede2e,
+    0x75d43cdd, 0xfae06c13, 0x0a7f8fd8, 0xe26ec17c, 0xea00cbbf, 0x74f687a9, 0x0614071a, 0x1db93803,
+    0x133e3681, 0x8b549a27, 0x42033fcd, 0xef508e62, 0x381a8d56, 0x32c16052, 0xaf3d573a, 0xfc6b4ba4,
+    0xa3078c7b, 0x33bc7767, 0x807d0f40, 0x3bc9eba7, 0xc04428e2, 0x0d22f962, 0xe8ee9e50, 0xbe1a9501,
+    0x95a1b5d8, 0xaea23c78, 0x59148e8a, 0x49e3aba9, 0xc13530ec, 0xfad69ab8, 0xf411ae64, 0x66ae6138,
+    0x755110bb, 0xdfc2d92b, 0xeedd7aee, 0x4763d0d8, 0x152c725b, 0x1f72a948, 0x0904b142, 0x5ffa3b64,
+    0x3224ec8e, 0x5afb44bf, 0x4456f54a, 0x4fd6b53e, 0xe490b28f, 0x8c1bfe56, 0x2dd828df, 0x8bafba09,
+    0xf092e2b8, 0x049e2e2b, 0x6cc94263, 0x36a42bf2, 0xc38ffd7b, 0x25d3e7a6, 0x5a0b920e, 0xec0009f8,
+    0xdb823b6a, 0x1b2c0589, 0x3a43cd66, 0xb8e1e654, 0xa2d86aeb, 0xa505924f, 0x5feafd6d, 0x8274ec56,
+    0x444e0916, 0x0d8b6072, 0xb9aebf31, 0x08dd5eac, 0xbef15c89, 0xee01003a, 0xd53f5062, 0x7a2a60fc,
+    0x946b769d, 0xea8cd53a, 0xc68f430e, 0x293c2118, 0x64a9bfc9, 0x595116f3, 0x436b0b59, 0xa80b9a85,
+    0xd586bfed, 0x68568c03, 0xe89d2946, 0x570b2fe7, 0xf2691143, 0xdfde7e05, 0x29b39f2e, 0x125c9235,
+    0xc2d52ad5, 0xc6ca669e, 0x82e16b0b, 0x75b62416, 0x382ccf51, 0xbcf20e1a, 0x586a7c9b, 0x0c0b3c96,
+    0x1bd52e32, 0x2dd5c9d8, 0x2efe755d, 0xa4e61a61, 0x244e0e05, 0x010d1e2f, 0x4177f510, 0xf3d389fc,
+    0x4c4e78d5, 0xd04e93ae, 0x6c0f085e, 0xf4620eca, 0x3e9fb1bf, 0x2b05aa2d, 0x05bb003c, 0x908e7917,
+    0xdb3a3ecd, 0xdb848198, 0x22f14ce7, 0x273a7443, 0xe5f996a4, 0x47a93b38, 0xfe6cb4d5, 0x7fe97527,
+    0xfde008c3, 0x387c6147, 0xe6887ba7, 0xb58ec0bb, 0xe0294dd2, 0x5dd3b8fd, 0xfe0560f6, 0x395a9f6f,
+    0xdcab60ff, 0xadfa2e5c, 0xb242ceff, 0x7b65f33c, 0x2cf68506, 0x0aba6fb4, 0xe08639b6, 0x88b245fd,
+    0x48513ed1, 0xeb3c1faf, 0x5ccfc665, 0x8ee2a58b, 0x263b1bfe, 0xad629aa6, 0xa95d92bd, 0xe09d3807,
+    0x8ec8e98a, 0x6d5ff76a, 0xdc6efbdf, 0x7bfa9a37, 0xca9cc982, 0xb87707e6, 0xa181c760, 0xdb5456f8,
+    0xdf569e13, 0x48f6ac31, 0xbcc09ade, 0x0d7ba778, 0x91971786, 0x41f916da, 0xb1af3257, 0xc22adb38,
+    0xf350c8d5, 0x6a5b3da5, 0x29388d86, 0x9039ab88, 0xf2a42614, 0x8273d87e, 0x5c1fbb5f, 0x47588307,
+    0x048ec925, 0xce7c3d77, 0x27f85a5c, 0x7d78c66d, 0x1e03df69, 0xd1ea7c95, 0x7c419517, 0x9c94bb0d,
+    0xcb9462cc, 0x61888636, 0xb5d10698, 0xdcae6581, 0xe686dad6, 0x89f8f4bd, 0x576adba0, 0xa97df872,
+    0x2a15efd1, 0xc295ea59, 0xe5339bf8, 0x5eea6a6c, 0x117ca7c5, 0x123249d3, 0x3ba1dc05, 0x04434ac9,
+    0xa840f08b, 0x383abc4d, 0xc434cb21, 0x299cc523, 0x10d71373, 0x9922b92d, 0x284a1ae7, 0x23bbbaa4,
+    0xd32f2745, 0xa5ce1790, 0x57496b71, 0x6dc5b862, 0x232a1c02, 0x93d1bf91, 0xce1adc4d, 0x5d523a27,
+    0x60988680, 0xbe293bcc, 0xbe41ec19, 0x82d3ed48, 0xdd4ceded, 0xb1a2db92, 0x65526adc, 0x1f642214,
+    0x992c285b, 0x93cf4386, 0xcbe0af97, 0xb6709f94, 0xd239b5ac, 0x80262a19, 0xbc1f8276, 0xe32d0233,
+    0x56ca11b3, 0x3e3c248d, 0x2466b5cf, 0xf64b2360, 0xbe782d14, 0x9f8cacd1, 0x675e317a, 0xd4e992df,
+    0x8918ad6e, 0x28b56e26, 0x28b25e95, 0x33f390a7, 0x7e61a945, 0x47f64159, 0x99dd85a9, 0x9b22716f,
+    0xfde8128c, 0x0b74e39c, 0xeb680a93, 0x3b82fc61, 0xca52a4ca, 0xe9be081c, 0xc08602de, 0xe8b154f1,
+    0x116a7ff7, 0x796e36ca, 0xc110b086, 0x646285f5, 0xddb7c2a5, 0x6a02aaa1, 0x7e8e2043, 0x093f4b95,
+    0xa3f82ef2, 0x0f593ccb, 0xc4fb72b1, 0xa9503e42, 0x0170acbd, 0x43fbfa35, 0x79381013, 0x6f6ec79e,
+    0xe078a805, 0x11845052, 0xaadb6eaf, 0x88319441, 0x1090f0fd, 0xdd6e9e4c, 0x2bfe1e81, 0x48b24929,
+    0x5ec70648, 0xbc96660d, 0xea559a6d, 0xab7ad2ed, 0xbdba7946, 0x3a0ad738, 0x36f1ee58, 0x0922c1fb,
+    0x4c1fc6e9, 0x52e75e98, 0x4d23ab1c, 0x227053c1, 0x6a4841e1, 0x23d457c8, 0xe4d00829, 0x2882d91d,
+    0xf8d77c48, 0x4571edf3, 0x41f43ae4, 0xb00e2f28, 0x7e8ec1c9, 0x6716db53, 0xbf196d43, 0xc7fd607e,
+    0xa5cb7b6b, 0x7a12b7ed, 0xadfc9416, 0x64ee2e21, 0x7fde03a5, 0xba2c77de, 0x29dc36e3, 0x86a702ac,
+    0xb5f10ad7, 0xab9632b5, 0xddae01a4, 0xfd5bbe28, 0x29bb779b, 0x13197ee1, 0x456834f2, 0x90f6124d,
+    0xe3f92b25, 0xc9399570, 0x25b1e2dd, 0x84f7c79d, 0x0dfac16f, 0x244ede88, 0xf7daa1df, 0x13c39ff6,
+    0x59eeeb16, 0x14a5a1c0, 0x5d1db871, 0x70780120, 0xd5c629e9, 0x0367c9ce, 0x72766798, 0xb90399a4,
+    0xe06db788, 0x4124c760, 0x74d113f2, 0xda14df6b, 0x1ed85b40, 0xb4bcc478, 0xbae34c8e, 0x048771f2,
+    0x901d1ee9, 0x2551accf, 0x78922bf6, 0xcebea471, 0xbb3be840, 0xcb2f896c, 0x3ed8f8e8, 0x43f24ee6,
+    0x7f7e3895, 0xc376971f, 0x376bd9a4, 0x890915cb, 0x32e05804, 0xa7339bb7, 0x94a7aaa9, 0xd422b175,
+    0xe0505baf, 0x70430b89, 0xb6a299e2, 0x742780ab, 0xdfa49c82, 0x0e7d0131, 0x8d29b51a, 0x8b5ec77c,
+    0xf19f02d1, 0x07dd0333, 0x2e0bf0dc, 0x1332eac9, 0xd48cf53f, 0xaefa028b, 0x52d4c817, 0x934723e1,
+    0xbf82a8dd, 0xd47175e3, 0xf97f1aea, 0x51094dc4, 0xf01ab803, 0x6b424d3b, 0x18be93bd, 0x4baaa17f,
+    0xba965c63, 0x5fb6b84c, 0xedf8bb7f, 0xa9f40262, 0x40f183b0, 0x36d1d3a2, 0xe25855c9, 0x4ec90075,
+    0x999a9440, 0x22c14ca1, 0x9210f1a0, 0x0ad534b8, 0x0c3df865, 0x40961314, 0x3b122626, 0x4415642e,
+    0x6067126c, 0xfeea7304, 0xc21429d2, 0xfcd3757b, 0xef4ff381, 0x45f58ba8, 0x5bba6e27, 0xcd6694da,
+    0xe69d147f, 0x8eea650a, 0x31883feb, 0x575d82dd, 0xfb9e7ba3, 0x86094d78, 0xd38989b3, 0x7ab8e45e,
+    0x54bb3fc2, 0x93fdb0a1, 0x8116b755, 0xf90f43c2, 0xa48de0c7, 0x113c906b, 0x30269c17, 0x27294ff7,
+    0x9463d3de, 0xdc5ab99c, 0xa1f9d4df, 0xa4cb27e4, 0xa46d52c6, 0xe0dd9961, 0x694650d3, 0xc00164c0,
+    0x986e53d9, 0xf1bbdc69, 0x4e389ee1, 0x8b2f1b12, 0xd935bf1b, 0xd37ef383, 0xf54ec740, 0xbf9987da,
+    0xb0ed2902, 0xea87d8fd, 0xcba72ea5, 0x7799617a, 0x9007f2cb, 0x561b4311, 0x631b7efc, 0x9d113927,
+    0x1c03f27d, 0x68d4dea4, 0x0216d650, 0x8a91a0f8, 0x99ffa507, 0xd67118d7, 0xbf2839a0, 0x549daedb,
+    0x1978d4c3, 0xbe6d223f, 0x0f0d0eb6, 0x86c37518, 0xf1a1161c, 0x7366938d, 0x783bed33, 0xcdb74e19,
+    0xab14b74e, 0xdd994dfb, 0x5c25454a, 0xd7329406, 0xb364f274, 0x0a286d0d, 0x1013d366, 0x01a2eae8,
+    0x7b54a7f4, 0xbddd1079, 0xb5220f55, 0x376fd93d, 0xea73f736, 0x757ad940, 0x1fe7fa9a, 0xc2bdf0e2,
+    0x9e3b6f8b, 0x5a03224c, 0xa85aea3c, 0x47697d29, 0x31bf00b9, 0xdde1cd44, 0xc6f8b3a8, 0xa5c89cbb,
+    0xf404734a, 0x43dc15aa, 0x46301c68, 0x92985477, 0x58fa89cf, 0xbdbfb1ce, 0x6166f313, 0x08590588,
+    0xaa135a76, 0xae06d7d0, 0xf1f840d0, 0x18caa754, 0x9b46151c, 0x1672a31c, 0x90085ecc, 0xa800dbfa,
+    0x454fc21e, 0x660cb9df, 0xad7031c6, 0xcf4aa5e7, 0x727bd3b4, 0xb4728a5c, 0xf3cc8ce5, 0xa6bba432,
+    0x4c01d70b, 0x79697e18, 0xb4f02fc7, 0x09cd02dc, 0x7bd301df, 0x5bb8c765, 0x5d5596d2, 0x4f5b8ee7,
+    0xe51fbd3c, 0x448b27de, 0xf4061657, 0x2375f701, 0x1fd1b40a, 0xc4d0b6c0, 0x7f512b74, 0xa302af02,
+    0x204ec4f5, 0x20ca7df3, 0x97a64153, 0x8aff31dd, 0x30d4c58a, 0x1e9db346, 0xfc73c695, 0x66821f58,
+    0x0b6dbc58, 0x1ca2a996, 0x2705e134, 0x5052e8f6, 0x879dfbef, 0x55afc3e9, 0xbcfee986, 0xa769a47e,
+    0xc35e67f0, 0x901d362b, 0xcc928d5e, 0xe1ce3607, 0xdca04357, 0xd5d7dc49, 0x1b161a49, 0x5a517749,
+    0x9da52f48, 0x02bb9d24, 0xe9711754, 0x723984d0, 0x1d15b29a, 0x3e110036, 0x986c752e, 0xfa995b13,
+    0xcefa9e7e, 0x020d5e40, 0xc33bd628, 0x9f5d90ae, 0xca4879fb, 0x8bec151d, 0xa242f0f1, 0xdfe58db6,
+    0x00000000,
+    0x404173c1, 0xa748db56, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0056539106072908298546665520023773392506479484700019806659891398441363832832 */
+  { 0x00000000,
+    0x41ef67c1, 0x93add5e5, 0x30c90764, 0xc20f5b4f, 0xd21ee308, 0x56c48535, 0xae8727f8, 0xb9ac7329,
+    0xf5d88a30, 0x77a4efe5, 0xdac9d7dd, 0x98d2d009, 0x45b5335e, 0xf76dc7c2, 0x44b946ec, 0xcc565a10,
+    0xb77e31e0, 0xabd82746, 0xe39af761, 0xe3cd879c, 0x851a61a3, 0x1fb2da82, 0x203f4b80, 0x753bdeb4,
+    0x08363898, 0xf1591f56, 0x5d2d7bcb, 0xaa12200b, 0x8861aa46, 0xea6314e1, 0x333ae38d, 0x0e7047dc,
+    0x48a08763, 0xd6a1f6ff, 0xba748544, 0x98a6ad65, 0x48cd7821, 0x5e974fc2, 0x8a189b9d, 0xa385fb24,
+    0x4af365b7, 0x301065a2, 0xeac521b8, 0x0c0128ac, 0x893a926a, 0x35ff7cea, 0xb3cb8a26, 0xb8fb7a4f,
+    0x1b645b44, 0xaaaf696f, 0xb471cbc7, 0x7541d7ef, 0x3112e7be, 0x42ecd86c, 0x973e58ef, 0xe1ec4acb,
+    0x05b393b7, 0x5507dfa6, 0x01575ce5, 0x6cf33cb9, 0x416d0d6d, 0x880255d3, 0x3cd52e60, 0x33cd0488,
+    0xe41faa1c, 0xdb83b7e6, 0xf53fbcf5, 0xdfb48786, 0x1546d0e4, 0x94231205, 0xc415e846, 0x861efbeb,
+    0xed516139, 0x3276a522, 0xecae2744, 0x067ebfb6, 0x4ebfdda6, 0xcfbb2797, 0x7be87c66, 0x08d61628,
+    0xf0af2ac2, 0x7ba33be8, 0x0127319e, 0x3f3e1af3, 0x0855a321, 0x8a853c03, 0xa22ba5e5, 0x53dd5c75,
+    0xb3a059b8, 0xb270dbbf, 0x90cd6cad, 0x114962e3, 0xb2ab4207, 0x6b6362ce, 0x3ae9b0c6, 0x3f6b5ce8,
+    0xa531487f, 0x75d2f83e, 0xa7df4ba6, 0x50f68a8d, 0xc3d3eb86, 0x187589d8, 0xf583abce, 0xef9f0a5d,
+    0x6f690baf, 0xbc1bcd07, 0xd1ac17ea, 0x889efeb3, 0x76ec7461, 0x26950bbe, 0xcca61d36, 0x1c003998,
+    0x870faf0a, 0x557851bb, 0x888bacec, 0xc1e0bcc6, 0x1a933a62, 0x08a1d0da, 0x402ded5f, 0x9ad917a8,
+    0x870d76fb, 0xc047cc3d, 0x891e1ed3, 0x0a31be15, 0x9956945b, 0x1b634a57, 0x270d690b, 0x966bf487,
+    0x6a713f76, 0x1ed07e73, 0xa885bc6a, 0x5ee14246, 0x03705276, 0x9f4c024e, 0x34d8893b, 0x3a415ca1,
+    0xdf77abb0, 0xc3a75262, 0x5ae4d52b, 0xe53f11ec, 0xafb364ef, 0x224eed61, 0x492924af, 0xc6c52fc7,
+    0xbf8e3f0b, 0xec1ec8ce, 0xc1e440ce, 0x00b1fb9b, 0x97dad5a8, 0x8ee2efee, 0xf282dc5f, 0x8cee7d32,
+    0x69d11d72, 0xc64c39e5, 0xc7539744, 0x8dc4f7d4, 0x98494020, 0x9f7651e3, 0x7ff9d030, 0x69dd63a7,
+    0xc5e8bda8, 0xea863093, 0x13ae312f, 0x27a3430d, 0x1802e8f6, 0x91f3cc28, 0x4b63a814, 0x0adab09c,
+    0x30f10e91, 0xcda42de0, 0x871191fa, 0x924beb9e, 0x9e6aace8, 0x9522168c, 0x07ce5188, 0xc12773d8,
+    0xe2c06943, 0xc2865aa3, 0x802f1d4c, 0xb91c1901, 0x7846d6b7, 0xb5b1d180, 0x08eb0b97, 0xe8c00cb8,
+    0xfe7cf854, 0x2e4398e1, 0x7e47d46a, 0x66b3ea64, 0xdcf8a8c1, 0x416434bf, 0x0e6d2fbd, 0xd730f746,
+    0xda0af756, 0x548d7c53, 0x612e5fcd, 0xd918f6eb, 0x898e7f82, 0x5ef593af, 0x4bd09346, 0xc2f46101,
+    0xa40424dc, 0xde9118c1, 0xe9902c0c, 0x1d1af8c3, 0x95a0dad4, 0x205fd27d, 0x45cbd258, 0x423348f8,
+    0x005d7f5f, 0x6abf480f, 0x904659d4, 0x49a93890, 0xbeadea27, 0x9cf6b1b0, 0xfeeb45b1, 0xea87f3c2,
+    0x18e1db8b, 0xc11257e6, 0xbdf3b913, 0xa4407da5, 0x1c0c4a5f, 0x1c221678, 0x62b27d2d, 0x3111bb9b,
+    0x00deda82, 0xe5dc1e04, 0x2939e8b0, 0x1991b33a, 0x7bc7900e, 0xd18f4507, 0x37cb8624, 0xf475eb21,
+    0x634a38de, 0xf0e3c263, 0xb44c61fe, 0x6d40a3db, 0xdbbd04ae, 0xd53c941c, 0xca9b5015, 0xb1f152e7,
+    0x5be14635, 0x86949014, 0x10f186f9, 0x0a5f8232, 0x4e08484c, 0xa016fc94, 0xe0d66e62, 0xa7136bdf,
+    0x57d6d9cc, 0xfb178f86, 0x57e8202c, 0xba3062e5, 0x940596e4, 0xdad6c25b, 0xcab99fa3, 0x5db809cc,
+    0x9013dec8, 0xb2c16eed, 0x15385f1a, 0x86d0b232, 0x415b5eb8, 0x43dccb8c, 0xf17ddb9b, 0xb4d658be,
+    0x5ee9df89, 0x4cc912f8, 0x288345f3, 0x2f909696, 0x370d2134, 0x33a24102, 0x487b60f2, 0xf913ba6e,
+    0x90d51cce, 0x706a13bf, 0xd6e8b44f, 0xe729e043, 0x01931b7b, 0x82c488d1, 0x7b28c991, 0xbf8e71ec,
+    0x812eda83, 0x4e46eb17, 0xbc5cbbe5, 0x0a2a09b5, 0x5a35fc87, 0xe8ec931b, 0x4a7e2056, 0xb56b30e8,
+    0x884649d1, 0xf515bd37, 0x412dbf02, 0x971cc887, 0x21b90278, 0xec856c9a, 0xd971d375, 0x10d13003,
+    0x2557b8df, 0xe6ef4c44, 0xd0754cc4, 0xf86587eb, 0x00ab112e, 0x8d4bdbff, 0xbe98fbe7, 0x39d609a8,
+    0x2ce3e1fe, 0xd24aca17, 0x1057b180, 0x689869cc, 0xe8fd31df, 0x829ad957, 0x28a9ab39, 0xe609d5f9,
+    0xc907e130, 0x7b9a2fdf, 0xa899f50c, 0x41843b43, 0x58571b25, 0x5a4a70d9, 0x1cb03108, 0x1fe60133,
+    0xc89d83d5, 0xbd2cbba6, 0x9183ca3d, 0x70c8cc1b, 0xe831bada, 0x71ad0c79, 0x704d311e, 0x75bb0f5e,
+    0xf9a6d6fb, 0x092f26aa, 0x86c5d80b, 0xa6f3d18e, 0x08bf98d5, 0xf4ce19e2, 0x106fe4a9, 0x8d7cd57a,
+    0xbabd8391, 0x697f5064, 0xea96fc0c, 0xc4537ec4, 0xab1016eb, 0x148712c9, 0x13e71eed, 0x419ca437,
+    0x45cbfbbc, 0x47a085ce, 0x702efb62, 0xce4eb64e, 0xe91b8109, 0x845a7e08, 0x323ea5ad, 0xfd9b7764,
+    0x230772e1, 0xb14ea36c, 0x454235b4, 0xf1baefe3, 0xbcf81c4d, 0x2a35bf28, 0xb54adf9e, 0x09e6a268,
+    0x76074e12, 0xba893e85, 0xdffa0be8, 0x69889253, 0x0b9c02da, 0x9558e95f, 0xba2e4954, 0xa9397f81,
+    0xfc8c0170, 0xa693ba60, 0x56b54bf1, 0x66a1fa14, 0x21633d2a, 0x00c5718a, 0x3df612de, 0x948b1e4a,
+    0xa0496a78, 0x6ed12909, 0xc13eb549, 0xe16695cb, 0x7c36ccae, 0x12d90076, 0xa871d183, 0xbc35f6cd,
+    0xa9ee6846, 0xdbaea278, 0x98eddd23, 0x9e135f1a, 0x9926e7a5, 0xc1f0809f, 0x68c8b705, 0xd92c79df,
+    0x70a4b49c, 0x0dcf01be, 0x71ceab67, 0xd69aab8c, 0x38c84474, 0xf5d3545e, 0xb35858e2, 0xc5d5a467,
+    0xd2ef5ac0, 0xe5d7be39, 0xc29a3541, 0xe3e0dd4b, 0x6cbd8f8e, 0x3a256cc4, 0x2b884128, 0x68030ae9,
+    0x58789a5c, 0xc686d399, 0x19c62405, 0xc3e11bf7, 0x605ce2a3, 0xb7a3a4c7, 0x931af04c, 0x96e79aa7,
+    0xf6edc42d, 0x61697c23, 0x2251c0a0, 0xac833ffd, 0x13b01e14, 0xf3a4a28c, 0x58a74dcb, 0x0ec8da1c,
+    0x91ab6c38, 0xb00c54f4, 0x57d69ef5, 0xf41960a5, 0xab927e6e, 0x718ee397, 0xeadb1de8, 0xbeaa16af,
+    0xe9e3c5d5, 0xc4392fb6, 0xf61c0a18, 0x9448b021, 0x71b2da5a, 0x5fe52e8a, 0x1cebc2a1, 0x72c35d0c,
+    0xa4e4be15, 0xbc51b393, 0x5bc14f7e, 0x6f5f444f, 0xdc0a305d, 0xcc19c4f6, 0x84cd9341, 0xa7ab8ee3,
+    0xd3377d77, 0xe78431f1, 0x54106335, 0x3e3ef617, 0xfad63530, 0xcfc27353, 0xd0fa28d3, 0x6e2d8520,
+    0x63d9a5a1, 0x0c4332fb, 0x5da61f04, 0xefe6911d, 0x34afa5af, 0xb61a12f8, 0xc60ac01a, 0xbec51140,
+    0x15e2d7f3, 0xaab3e6f5, 0x1daa672d, 0x23ac4c05, 0xd84fed52, 0xc0479e27, 0x56698852, 0x44be46f9,
+    0x39b75224, 0xd43762a9, 0xf8fe2062, 0xf72fca23, 0xfe8a0971, 0x39ce0154, 0x3451905c, 0xf7d3aff9,
+    0xcd46fdfd, 0x903f9a0c, 0x0a57f178, 0xd586bdda, 0x9c0ef437, 0x71586a9b, 0xad5b0dff, 0x33533e6d,
+    0x29dc1400, 0xe533cd7f, 0x7dbaaee3, 0x2bf9edfe, 0xa0aa078c, 0xd0bd157f, 0xcc3f8375, 0x8ddf775b,
+    0x8292b568, 0x1a166684, 0x3ce99bee, 0x6fa4005e, 0xf028ab86, 0xe63ddff6, 0x5b6fa924, 0x36ee59c0,
+    0xc36659d4, 0x535886db, 0xa22c1624, 0x5019b67b, 0x796d09d4, 0x5249e211, 0x2283ff9f, 0xcf1d3c60,
+    0x7846f533, 0xc97c033b, 0xfd68263a, 0xddb5d147, 0xe2c288af, 0x6c1ec49c, 0x981d4610, 0x62fe105c,
+    0x798876b9, 0x5c52c640, 0x367ca796, 0x64b0b732, 0x3064781f, 0xb3dc9f0d, 0x511a28e4, 0x4e82b74c,
+    0x12e68b25, 0x66eb6f2d, 0xba0c0b1e, 0x61384e30, 0x854faba2, 0xe20959d3, 0xb94bc3d6, 0x44d9a543,
+    0x4db7e476, 0x76b1b281, 0xe09c234f, 0x0e65ae71, 0xc5092620, 0xc3fef5bc, 0xe3a49b07, 0xe6ae1e79,
+    0x3d1ec41e, 0xf043d732, 0xdcade56e, 0x1a599632, 0x8ab3b48d, 0x92a1eb8d, 0xa6b3af9f, 0xe864a258,
+    0x8c70f5aa, 0xb127bf0e, 0x4a1a0211, 0xebbed6fb, 0x55896ac2, 0xcb375bb2, 0x73c3047f, 0x64603f0a,
+    0xe1257146, 0xa84963e0, 0x73e1efbf, 0x1d3c51dd, 0x91f9df87, 0xbc2160f9, 0xc6207012, 0x9afaec63,
+    0x39b9bc74, 0x0b26b766, 0x40007ad7, 0xb8ce2fef, 0x158ef8e1, 0x2e4f0f89, 0xc58c8887, 0x6acd2a2f,
+    0xa154c3f6, 0xff560956, 0x388e3c46, 0xf7be8641, 0x273c69ca, 0xe5abe093, 0xb672fd01, 0xbb34efe2,
+    0x431dbcf4, 0x78bbedae, 0x676c5651, 0x3fc1edbd, 0x5b68e525, 0x448cd5ad, 0xfe6c1806, 0x50ba7905,
+    0x0d4be183, 0x06136a59, 0xa47a9045, 0x600d33c8, 0xb88d5180, 0xfe0dbe77, 0x002482d1, 0x7ff4b171,
+    0x284957b7, 0xa1693914, 0x5a8dad98, 0x4efc88e7, 0x6635bbce, 0x662a9891, 0x8f0836d6, 0xe4437883,
+    0x6ee52a62, 0x87315381, 0xef40cfb6, 0xeb4f7f44, 0xd712281e, 0x50940aa0, 0xda0a88d2, 0xae5cfa21,
+    0x6e3b05b0, 0x0215b23f, 0x77f9fae5, 0x4b5e3368, 0xad1e5625, 0x8cff8125, 0x097ad32a, 0x46bd2437,
+    0x5fb43a4a, 0xd825959e, 0x2821e95c, 0x3fe4cd60, 0x0e937519, 0xa030a910, 0x3454439f, 0xc722e9cf,
+    0x996115fc, 0xd4a5a2e5, 0x9258b0de, 0x340b4f41, 0xfa40ec9b, 0xebf7814b, 0x7cb3ce35, 0x91f38c50,
+    0x490ab3e7, 0x7d83c0ee, 0x1faab1f9, 0xb3af2abd, 0xd13d8e59, 0x0ed08081, 0xd1074d7c, 0x3745f7ee,
+    0x5aa6381c, 0xcc659273, 0x86f97cd5, 0xe58decbc, 0x22553335, 0x0d894183, 0x080a63dd, 0xb1409c69,
+    0x70e51548, 0x95d617ec, 0xae57af30, 0xbd6b1b47, 0x073456ae, 0x4af6b9e3, 0xaa47e7a2, 0x14abff54,
+    0x1776dc13, 0x6e2ea000, 0xd5e4a9f0, 0x405ff5f9, 0x52faad18, 0x55bc212a, 0x8b74f8ae, 0x4576a80b,
+    0x3423c955, 0x90d6cc41, 0x0639698e, 0x8c6de639, 0x2edd918b, 0x9eb7f657, 0x6fdd428e, 0xe4cf2941,
+    0x5dd17724, 0x0a971492, 0xa89b7cd6, 0xd6745765, 0x033b4b9b, 0xa44a841c, 0x6261f4d1, 0x8632167b,
+    0xc0277230, 0x3b2ff92f, 0x07256618, 0xb1f3023a, 0xb834eec4, 0x92658f0b, 0x53c42773, 0x37d04024,
+    0x7ee4c2c6, 0x5d31dfc1, 0x4f309e26, 0xb4946d0c, 0x32e353fa, 0x39e6c365, 0x1d766c18, 0xebd16214,
+    0xd688dddd, 0x771baa96, 0xbb7d212f, 0x7e07462d, 0x9421eee1, 0x3cb6cae2, 0x8ac1a34b, 0x5cd49c5a,
+    0xbe577cad, 0xda97ae65, 0x2383e077, 0xd74c1f98, 0x2124b53f, 0xcf180916, 0x92920236, 0xcca946f8,
+    0xc66e5006, 0x14ce1757, 0x768b0ccc, 0xb4c5ac72, 0x6c3c4521, 0x25ffe6a2, 0x1344582e, 0x29589d08,
+    0x90beae60, 0x665c5a69, 0x28e16403, 0xba7ca08f, 0x0cefcf83, 0x6dcba285, 0xab3ab866, 0xf887c271,
+    0xa43b7262, 0x927fa384, 0xb85c48c1, 0x0f83a8de, 0x5e19cd85, 0xbf9eb673, 0x13189b7b, 0xd4057ba1,
+    0x9ec7f6a0, 0x109d7c06, 0xcf89d3fc, 0xbe1861ee, 0x668a4717, 0x4e9db76d, 0xb954258b, 0xd48b908b,
+    0xe70430c5, 0xbf69dff0, 0x569342f7, 0x545bcf62, 0xc380c1fc, 0xb61420c3, 0xd41c591b, 0xef8cab8a,
+    0xa0057f7f, 0x29b4dd99, 0xf391adae, 0x009a0f04, 0xf0b348b9, 0x0c1422c7, 0x07ce1256, 0x3b8f1619,
+    0x6afa1d5c, 0x13497a78, 0x082cd87f, 0x3d056cd5, 0x71f89ef1, 0xa1ae6a59, 0xff97e101, 0x980a1647,
+    0x1dcb4d63, 0x08f3e6dc, 0xefc75b6b, 0x80a622f0, 0xe5a0b2b8, 0xf8fd1b6e, 0xc45fb24c, 0xff51ec3a,
+    0x33f7ad3b, 0xb6c9b28a, 0x839eb564, 0x33aa34d6, 0xc299097a, 0xc7610ecf, 0xf414aa9e, 0xc44c3c74,
+    0xc9f8c0b3, 0xf3f6f830, 0x2d5dfa1d, 0xedbf49e3, 0x6133f60a, 0x8deebb22, 0xb03f572f, 0x3144a231,
+    0xa58525f8, 0x67c8f381, 0x4a975727, 0x7aa11bec, 0xdb71f093, 0x65405372, 0x1f18c887, 0x1f025840,
+    0xd1f64f70, 0xc7c2fa81, 0x88e712e1, 0x803380a4, 0xbd4f5ff3, 0xd4f06cb9, 0x343c8bc7, 0xe612f213,
+    0xe374368e, 0xbf6c973d, 0x7da54cef, 0x4f7d099a, 0xd7a8fd90, 0x322a9ee8, 0xad7a1c37, 0x9ae0bd8d,
+    0xef0c3b4c, 0x52e80afb, 0xac362c36, 0x1a91d56d, 0x391ae13e, 0x1b93f684, 0xb3d16858, 0xecb289ac,
+    0x6b4100d5, 0x23f0a25a, 0xa4d466da, 0xf657023d, 0x1eeb7ef3, 0x6b4badd2, 0xc7e08c00, 0x3d3a25b3,
+    0xe8243e69, 0xf6521d35, 0xdcb196e8, 0x46dd3a21, 0xcee826ee, 0x1b84f85a, 0x60ea7c54, 0x0b39b1f9,
+    0x68577801, 0xb3e89800, 0x110ab348, 0xb3807122, 0x4e116efe, 0xad208fa4, 0x2feb18c6, 0x88dbbafb,
+    0xcfb54896, 0x638cf5b9, 0xcae5b55a, 0x977bfed8, 0xc71e9072, 0x0bc129e8, 0x55bcf34c, 0x8475cc8e,
+    0xdf99bc77, 0xbcc7be88, 0x401924de, 0x7fb6fdeb, 0x1972e9c0, 0x3e7d7ebc, 0x8d6f05da, 0x826988de,
+    0x4c547c1f, 0x59d12dd7, 0x92c40e07, 0x9c5d48ab, 0x1f3ddbda, 0xc24c2291, 0xa0a6649d, 0x24a64541,
+    0xb5f4cd9f, 0xa08138c0, 0xb8e74e64, 0x973dda3c, 0xf829e17b, 0x8337d665, 0xb54443a3, 0x868e1f03,
+    0x49497448, 0x1932ba71, 0x877cdd5f, 0xa657a667, 0x2a9faf9f, 0x4e937086, 0x1d8acf3b, 0xf56c46e5,
+    0xfb7002b4, 0x5ab4cc93, 0x65bd1053, 0x92eb2e8d, 0x1b86b19c, 0x3792ba0f, 0xac37ed86, 0x8e2c23a6,
+    0x45df01b7, 0xcdc015c8, 0xf4855267, 0xbc5f2fe0, 0x2c364f22, 0xdf19e7fd, 0x1b4d2619, 0x7ac961fa,
+    0xf6da7083, 0x0ec1165f, 0x8cf6a6de, 0xcd392db2, 0x2f30bfa3, 0xf1e67741, 0xcb69b7ac, 0xc72a212c,
+    0x04bdf8d1, 0x1c6e2a60, 0x4731a7f4, 0x10d2c881, 0xd16ca04f, 0x7885d509, 0xc749ba63, 0x537c2d4d,
+    0x53cda829, 0x6c842d4f, 0x840d8fd1, 0x28e21b8e, 0x113576e2, 0xf309687c, 0x3ff1086b, 0xb682da45,
+    0x87f1c99b, 0x1e8cb007, 0xb9fe6848, 0x62c7f4c5, 0x11e494f6, 0xb6aca730, 0x2cc6b384, 0xf5047e50,
+    0xb8ad99e2, 0xdae9dba4, 0x36b80b04, 0x3d5c5738, 0xbfc19015, 0x50de8ee1, 0x541a229c, 0x9390fa08,
+    0x817b8e66, 0xcab66356, 0x7c543604, 0xa1acf3e3, 0xb3e80450, 0x9affe648, 0x16f23837, 0x542e171d,
+    0x8923c01e, 0x7227c245, 0xd09da914, 0xdd410ec2, 0xe2141fdd, 0x91f0c683, 0x70f8736f, 0x52abac2f,
+    0xe65e6d62, 0x044c5b35, 0x82c891a5, 0x981b5725, 0x135cfaa0, 0x42e6ffef, 0xd787a0c1, 0x226091a4,
+    0xded977da, 0xfcfec327, 0x459ba4d6, 0x6d21681c, 0xa5841b91, 0x83913fea, 0x0b59f1fd, 0xc4b73ec5,
+    0xa2510d17, 0x8482e5ce, 0xb6443440, 0xff94d99c, 0x3aedb9fd, 0x2b4970f4, 0x88bcf835, 0x1e59d19e,
+    0x35d996a6, 0x32f1464f, 0xf12cac85, 0xfa6f64d2, 0x19d8d85a, 0x766f1d26, 0x7b3949f6, 0x85259c7e,
+    0x7a471980, 0xdf0ea0b6, 0xcfa42c0f, 0x2285eb37, 0x439b2624, 0xcdb854ba, 0x8752fc0f, 0xa949fe15,
+    0x00000000,
+    0x2020b9e0, 0x53a46dab, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0028269553036454149273332760011886696253239742350009903329945699220681916416 */
+  { 0x00000000,
+    0x7abc8662, 0x9bb52059, 0x9bb1360d, 0x05862721, 0x33296466, 0xd2ed5015, 0xf758f8bd, 0x0e3f0731,
+    0xebfc61bc, 0x588a38bd, 0x4e0e463b, 0x7683184a, 0x2eb02da1, 0x93856b3d, 0xb5ffd74b, 0x8eeb68a7,
+    0x6674cde2, 0xea9f65af, 0xc6a834d7, 0x107139b2, 0x9172b445, 0x88c1efda, 0x5149f6cc, 0xdb1e6155,
+    0x5b1cfc28, 0x027ac08f, 0xe31049ac, 0x956781b9, 0xc9b62aff, 0x2406c638, 0x387754b0, 0x526c5050,
+    0x52e9ea27, 0xe0a0a5bb, 0xc992ca6f, 0x016ca348, 0x5c9a7788, 0xd765bb06, 0xb0098c41, 0x6df4f68f,
+    0x2620d999, 0xb8dfffa8, 0xfb2c1504, 0x7de53f45, 0xcb19a789, 0xa467fb79, 0x7fdb548b, 0xeb10aa60,
+    0x1322263a, 0xdfe71aca, 0xcb603104, 0x37b4970f, 0x86797bbc, 0x57699369, 0x3c57a0ae, 0xb6a51d86,
+    0xfa69e4e1, 0x410387a5, 0xb2804a29, 0x57c514cc, 0xd7a626f4, 0x8c8f8b3b, 0x1a51ae45, 0x1b7c7b20,
+    0xd76e92f6, 0x4975bfd9, 0x8b7b9a13, 0x9ad7eb97, 0xb5d7f4ac, 0x7755936a, 0x2ab552e3, 0x8b8aa343,
+    0xdf6b4ead, 0x5ce29dbf, 0x18dfeb83, 0x1991018f, 0xa7b06863, 0x72404338, 0xc6637a58, 0xd787342e,
+    0xfc133404, 0x7810b4a1, 0xa29b0286, 0x8aa77766, 0x40f96046, 0x4c276334, 0x3320131f, 0xc2a8b7e6,
+    0xb2d508b5, 0x19f5110d, 0x2415efd6, 0x0c3e17b6, 0xa0d499e6, 0x179500f5, 0x045cf110, 0x879cf219,
+    0x69332fd8, 0x2f71f450, 0xe13e3aaf, 0x62af942d, 0x5af7edd8, 0x62f38ab9, 0x8e160748, 0xc450a504,
+    0xb291c491, 0xc8dc0cfa, 0x7c9c3e90, 0x3e2c8acd, 0x3b3acd41, 0x8fd2d69d, 0x318e40ae, 0xed4e8ca3,
+    0x877cca42, 0xee3fa9c0, 0xbe15452e, 0x05d885ff, 0x710a8878, 0xd6778f9f, 0x69b36952, 0xa8a788ab,
+    0x64720f8c, 0x820421a2, 0x1e07a8eb, 0x2ee58856, 0xfef8b77e, 0x29aaa55f, 0x20bf5b4f, 0xb53a8b60,
+    0x423417f2, 0x8605c81c, 0x3082703b, 0x83149bdf, 0x9c3e17d3, 0x48cee9fc, 0x2046a4a4, 0x036d4a27,
+    0x7a72699c, 0xf88da1c8, 0x69ffedc0, 0x8c968893, 0x9ce009f4, 0x8e09987e, 0x6400dce6, 0x4c714958,
+    0x7171e51b, 0x750398c1, 0xe7e31842, 0xd5a4fb75, 0x0ce1324c, 0x09144f76, 0xec35712e, 0xc687bf23,
+    0xd6142f6d, 0xdfe663f0, 0x0360ccee, 0x6b45a4a8, 0xd68f019e, 0xc792962b, 0xab966877, 0xe09b75fc,
+    0xa7ac464c, 0xcdb4efd0, 0xcd3258c9, 0x3403107f, 0x4471852a, 0x0a8e1789, 0x719c8d7d, 0x6c35dbf4,
+    0x45cad3fd, 0x5538762c, 0x2b45d210, 0x213eb1e5, 0x9ff17858, 0x4a0323d3, 0xfbce7044, 0x04c78125,
+    0xb5c97ad3, 0x5f555e04, 0xc064c444, 0x4c5bb2f0, 0x7a6aaaea, 0x1342d88a, 0xf64266a0, 0x069c7166,
+    0xdf5c0428, 0x132dbbf5, 0xd0ebd8fe, 0xd8f1ba22, 0xde44b923, 0xdb7610f3, 0x52f335eb, 0x9af37900,
+    0x196d571e, 0xc37d0115, 0x1ab66452, 0x2629bd50, 0x8f1f9ab0, 0xa321f4db, 0x6258d406, 0x2c7393b6,
+    0x20b5405b, 0xf5be7353, 0xf30219b4, 0x57ea34f7, 0x50383a4f, 0x5774ca83, 0x57a45fe4, 0xd04d6eb9,
+    0x8b69dd5c, 0x657ee2f9, 0x15878a8c, 0xb146232f, 0xd3aef4f6, 0x064d6b9c, 0x13b4ea10, 0x175645d2,
+    0x1616bf69, 0x782fc424, 0x58108d57, 0xf2c28108, 0x1cbec869, 0x8b3a7098, 0xb4e711b1, 0x72fc2f87,
+    0xe1296ca6, 0xbf06d8d4, 0x4a128f95, 0x9370a2fd, 0x3b6b483a, 0x6e01a31d, 0xcbaa7289, 0x61d651de,
+    0x8e88c1ac, 0x90c484e2, 0x1a55469e, 0xd72e35a2, 0xccf21836, 0x28b8b4a6, 0x12d8343c, 0x38ba9d18,
+    0x2b8bbdcd, 0x30d4195c, 0x7678295d, 0xf092a0a5, 0x68d2a86b, 0x7eaa6929, 0xaea804ac, 0x6909402e,
+    0x8da4885b, 0x8c5daf4c, 0x7ee505ae, 0xd65a4f94, 0x2b6a86af, 0x9ace0883, 0x82ccf492, 0x42d98ffb,
+    0x5b1c2927, 0xe228546b, 0x2222df4e, 0xb46c68aa, 0x264bb00c, 0x3ea4a953, 0xf9b53a68, 0xc0be7087,
+    0xc5510376, 0xb240c907, 0x6bfeb199, 0x4ea65e3a, 0xdb40e85e, 0xc0430ed6, 0x77aab05e, 0x5dc1e26a,
+    0x205b877f, 0x9a652cd5, 0xa1a57837, 0x40b5134e, 0x47d4910d, 0x12a1493c, 0xb8de8a77, 0x78a10268,
+    0x7161199e, 0x265a91ef, 0xaacfb762, 0xe3e3bd4d, 0x1d37336d, 0x12d90763, 0x7ea35924, 0x1bc0a3e4,
+    0x91253859, 0x53862fa1, 0x87ca2401, 0x7fd0bd47, 0xa6b06db3, 0x1d3c92b7, 0xb6be0ca0, 0xdde6a72f,
+    0x95517900, 0x06c2666c, 0xa0671eed, 0x99886876, 0xfe11fed2, 0xe5f2906f, 0x1e67eba1, 0x826d8c81,
+    0x6716c8bd, 0xe3ffe17c, 0x5ec9436e, 0xa613cde6, 0x0e644199, 0xa8f6473d, 0x45230da6, 0xf1685710,
+    0xfc08cd2b, 0xebec626b, 0x4803ef14, 0xd758884a, 0x6dd07e46, 0xbbcc2461, 0x11b2f3b2, 0x827c31e9,
+    0xf51634a2, 0x5f9b23ce, 0xe51432fa, 0x0552f60d, 0xfa765d2b, 0x4c7da6ed, 0x2f5c94f9, 0xdbe81a0c,
+    0x6c631c04, 0xc2a4dd94, 0x1b7ada4d, 0xd86a5d93, 0xc10cd03a, 0x13daa1b7, 0xeb12d732, 0x594b1fe0,
+    0x1c242250, 0x6aac1e3e, 0xfeb96c2b, 0x6a44a2da, 0x07cbaac7, 0x9b85b654, 0xfb66918d, 0x6f788da4,
+    0x8c6bd39b, 0xb5832639, 0xd418c34d, 0x929ab8fc, 0xc9a22030, 0xd6c6c7c1, 0xb492bd3b, 0xa436471d,
+    0x3d855f15, 0xc8399e92, 0xa519abb3, 0x8daf392a, 0x1d5bc7a0, 0x1563f0e7, 0x4ceb8117, 0x9b7e08a5,
+    0xc6c504a6, 0x30ee3f8b, 0x19facfa4, 0xa379b8a7, 0x45e1b3f3, 0x911ba651, 0x32909e26, 0x23df776c,
+    0x6b11c35a, 0xf76f6e12, 0xd7ffdc7a, 0x8c1300d6, 0x9c377a36, 0x0763bcf7, 0x168f7861, 0x6b1b30dc,
+    0x41b2ef42, 0xc0e77dd1, 0x287e3ba8, 0xe77c7526, 0x655fb5e3, 0x9dbf1bee, 0x833569b1, 0x6e0e70c4,
+    0xa75715b9, 0x61c94cac, 0x9163a3e7, 0xdb3e012c, 0x20591869, 0xd44c956b, 0xf789a75d, 0x8ce9074c,
+    0xb3d33c7c, 0x70c9e776, 0xfe9c10c5, 0xdd8166ed, 0xaa24d342, 0xfc9fd064, 0xa0bede09, 0xc6f8e966,
+    0xce599cd2, 0x22a33634, 0xad6a449a, 0xbe63cbe1, 0x33f21128, 0xebbe4d6e, 0x3f183f4b, 0x078646ea,
+    0x5703c7a1, 0xb5583105, 0x86dd3068, 0xcd2c8a30, 0x71a8e8ca, 0x29e3164a, 0xd3004a13, 0xede18bb0,
+    0x2bc3fdb3, 0xaeb30e85, 0x8e443d06, 0x53ab346e, 0xf5614258, 0x4fe5090a, 0xd5691521, 0x69c56885,
+    0x2f980d05, 0x8ba13704, 0xa44032a2, 0xd8db4849, 0x43a8d1f3, 0x98d080ae, 0x16784e6c, 0x2653956a,
+    0x572aaeec, 0x360e4efe, 0xabd967fe, 0x8c0efbe1, 0xad32da38, 0x058d8725, 0xcd4309ee, 0x423ae402,
+    0x071982bd, 0x8521d0d9, 0x2aea810f, 0xb50929ca, 0xc8bbf3ac, 0xcdcb1565, 0x4e620462, 0xee6de92a,
+    0x048bd226, 0xe5befd6a, 0xde728d5c, 0xc95ca2de, 0x68388f20, 0x807519ce, 0xbb421887, 0x5acc40d9,
+    0x55a946e8, 0xdcf9dda5, 0x9c444efb, 0xa0dd7838, 0xc4395270, 0x8e0fd380, 0xa6669190, 0xf2758fc7,
+    0x828e4022, 0x69339cb4, 0x679f4af8, 0x85451393, 0xf7f4019c, 0x434117b2, 0x9361ea74, 0x4621f15a,
+    0x2407efa0, 0x7481c111, 0x1f790570, 0xf0b6f323, 0x9e91b996, 0xb716482b, 0x1bd81e22, 0x89e8c3eb,
+    0x91c607d1, 0x0dd9ff41, 0x4ee33cea, 0xc5132cb0, 0xe1729a17, 0x0cb90590, 0x3de31322, 0x191c537a,
+    0xadf3577a, 0x937ca46a, 0x7e8fe560, 0xe49546d1, 0x6612235c, 0xcc4a9f96, 0x7ae29e4f, 0x6cc4d71e,
+    0xbfe36034, 0x1de6cc1b, 0xffb4c9ca, 0xf86fd5df, 0x6bf0eef6, 0x0630df37, 0xfcf0e344, 0x754305d3,
+    0xf3a03434, 0xafa1b644, 0x2c40052e, 0xdd723794, 0x960a8381, 0xdddec728, 0x5f455a7f, 0x38d86ecc,
+    0x4bb8309b, 0x6b2cc8f3, 0x0a75810d, 0x994c077e, 0xcd8b82ec, 0x7b2b4314, 0xa372c363, 0x3a332e63,
+    0x69038dcd, 0x567d97d6, 0xf7bb930c, 0xc8efe79e, 0x5f5e23e1, 0xe1e6e57b, 0x45c5c92e, 0x9bc35241,
+    0xfff1f824, 0x698f893d, 0x46b928b5, 0x56998fea, 0xc45820dd, 0x0ad781fa, 0x10e52a8e, 0xb438f4a6,
+    0x9b2fa6e0, 0x275d1c23, 0xebc202ee, 0x907b66c3, 0xf51d5789, 0x8103cfe6, 0x6160ccbe, 0xb760140c,
+    0x49113e25, 0xf9791313, 0xfdfbae3d, 0x9b6cbca0, 0x3cf22956, 0xf60163c0, 0xd499a41d, 0x3b8e7751,
+    0x98e82114, 0x81255c49, 0xca6e85c1, 0x136de301, 0x551e6d82, 0xea7fe645, 0xaabed1da, 0xcf47b99b,
+    0x64b4f4c5, 0x7f5a6123, 0x069d089c, 0xc3b09a22, 0xbee383aa, 0x9cf58cf8, 0x59cd495a, 0xb9a698ab,
+    0x47b94359, 0x37ef7f31, 0xf3fda9a1, 0x4e4f832d, 0x615bc208, 0xd42b9a7e, 0x480461b6, 0x77aad938,
+    0x09808ced, 0x35ebb271, 0x91b452de, 0x5b6660b7, 0x61de24b3, 0x23597151, 0xa0c6532a, 0xee14f2a9,
+    0x5fd57a19, 0x4216bb32, 0xe09f96cc, 0x0eb63397, 0xc31f4378, 0x718e117f, 0xccf8a4e9, 0x8a6618ce,
+    0xfedfcc91, 0xfa744d04, 0x20858c9f, 0x021dc2d2, 0x65f11518, 0xfd3a57ea, 0x553c3c49, 0xc9eb5480,
+    0x92a789ae, 0x451a34b1, 0x9eee0f91, 0x7b839758, 0xa2275b47, 0x8c4cafa4, 0x20d96b15, 0xf1a4959f,
+    0xe220259d, 0x8c27df78, 0xe15ee770, 0x300c623e, 0xff891f17, 0x581f10ba, 0x970f2cfc, 0x6f32b4f9,
+    0x628f3eec, 0x7ed6720a, 0x08993923, 0xf9b9fa49, 0xc87c80b6, 0xdca544bb, 0x801c1356, 0xfb195de4,
+    0x45093cee, 0xfadfdb1f, 0xe0ba1702, 0x6a4e8ce5, 0x93ef73ac, 0x349cf923, 0xec807f0b, 0x0ff92ad8,
+    0xa0d4873b, 0x812eaae3, 0x4cb60d86, 0x17222048, 0x624ce9a5, 0xafb928cd, 0x57c6fcb3, 0x4cd1934e,
+    0x79b6b9be, 0x8cc81b0b, 0x68cf1f18, 0x7ff6658f, 0x13db1962, 0x946bd847, 0x03957126, 0xa69ea66b,
+    0xb216914a, 0x8f3a40c4, 0x53fdde42, 0x062de6e6, 0x2b64e003, 0xb31b921f, 0xd8d24095, 0x532258a4,
+    0xa4bfef54, 0xd32ccdd0, 0xc91bf6ef, 0xe2440eb1, 0x50503f0c, 0x21b097d9, 0x1adc1b64, 0xba428d51,
+    0x61f2e6fc, 0x6a684349, 0xf68cb6b9, 0xcbf8859d, 0x6252de8f, 0x0c28b40f, 0xb14484d7, 0x3eeff530,
+    0x36e3553d, 0xd60f60ff, 0xd3ceabe4, 0x43bfd323, 0xd06a4371, 0x40338acd, 0xff03d802, 0x76f1aaa2,
+    0x0c4d416c, 0x5757e8c1, 0x25fe925c, 0x98c5a0d5, 0xef00e8e7, 0x4b26fb28, 0x87b6bc89, 0x24be7985,
+    0xe1b9e6da, 0x3ccd16d1, 0xe13712c6, 0x0ad62b49, 0x5e086672, 0x3d72f503, 0x8a2a95ce, 0xe662b22c,
+    0x71bb15d2, 0xadf5fb39, 0x9d155cc1, 0xcc64ae08, 0xe07c4041, 0xf09be19d, 0xf217292d, 0xb65a484f,
+    0x8e206f4b, 0x024a7d41, 0xe9878e74, 0xc0ac4f50, 0x00b3f809, 0xa70578c2, 0x23f6f2c9, 0xdf338617,
+    0x00e82a1b, 0xd6c9b0aa, 0xd39ce326, 0xd6f7c154, 0xb9493a79, 0x9c1e370d, 0x5812c14d, 0x7218b638,
+    0x83e3c58b, 0xbea1a10f, 0xfc168c49, 0x2702fd6c, 0x4964b7cf, 0xf662254f, 0x9dbafecf, 0x08d042b0,
+    0x7de412ba, 0x5c8f7c6b, 0x56e17a09, 0xb35e95cc, 0x8d80a4e4, 0x2e57e732, 0x033d8582, 0xff37cc2e,
+    0xee3cb30b, 0x09e1ea76, 0xb56a9041, 0xe03a46aa, 0xea57adcc, 0x6f16b611, 0xb49406d1, 0x2d560531,
+    0x74589d88, 0x0c268b54, 0xbf72a488, 0xa09ea76d, 0x882b611e, 0x0bed0b1f, 0x2466d7ce, 0x68f6709d,
+    0x66f31ee9, 0xa0611485, 0x80cb86d1, 0xe1e8a342, 0x16bf2098, 0xc2381984, 0xbc925bcc, 0xe977af6f,
+    0xb598931d, 0x5a38d938, 0x764369b9, 0x6afe46e4, 0x369dba9a, 0x39062768, 0x39e50cda, 0x01659d83,
+    0xfdbefe55, 0x1d4012ac, 0x21cc7b89, 0x050004aa, 0xeec07667, 0x42d63c55, 0xacd566f0, 0x424c919f,
+    0x71992e5a, 0x6b44baa0, 0x5eb1a386, 0x65ba8c9c, 0x2257af0b, 0x754d5511, 0x8b0e6aad, 0x9deeb9b7,
+    0x43710bc2, 0x7e58cd9d, 0xaf3f7e0c, 0x50a2b6c1, 0x90d65609, 0x1e117561, 0x4de6f0e5, 0x404c1d77,
+    0x9041ea25, 0x463b474a, 0xf8702818, 0x83c7f771, 0x2376c1f3, 0xd03b660f, 0xbd2678bc, 0x474c54d8,
+    0x702dfcdb, 0x01b215f8, 0xe05c1e14, 0x34cc1f2b, 0x023596b6, 0x98a1c670, 0xf48906d7, 0xbc7400c6,
+    0xceb7c594, 0x5db4bc3c, 0xfd7dc18e, 0x374c3d85, 0x0aadb0f0, 0x8778631b, 0xba78d3da, 0xb20d460b,
+    0x424da6ae, 0x91fd4a33, 0x6c49672d, 0xb8e5db66, 0x8db7093b, 0x3fd2ec5e, 0xbb7db6ff, 0xbe966c64,
+    0xa93ef9fd, 0x4a7498db, 0xbdc4c440, 0x557e372e, 0x06a9bd76, 0x94c38aee, 0x60d7ff52, 0x9353d35f,
+    0x598932d5, 0x332fcd42, 0x91f46bdf, 0x1812e370, 0x1dc95f7b, 0x4afdd459, 0x2e4bb188, 0xe323aac9,
+    0xff152599, 0x260a60b7, 0x887b6166, 0xc2638a34, 0x0c9db910, 0x45542bbc, 0x35e63cae, 0xb6515aba,
+    0x947fc6fd, 0xd758802f, 0x9093a4ec, 0x4919013b, 0xe9a5ba0c, 0xd7335512, 0x4aaa5450, 0xa1ad4fe0,
+    0xfb0d71c4, 0x40d1cf7c, 0x02990181, 0x79f36341, 0x5c3dc090, 0x788fe1af, 0xb5f1c4d6, 0x6dabee9d,
+    0x1740e925, 0x4753b78d, 0x35da1550, 0x8349848e, 0x00d209ca, 0xf504db9b, 0xb6006e12, 0xb5effe9b,
+    0xc66ee702, 0x9f74bfcb, 0x7a622994, 0xcd87f23c, 0xc1b3351c, 0xde970e4c, 0x4e97c168, 0x3fcdb5c4,
+    0xfe2eb32b, 0xcca7adc3, 0xc6015781, 0x06818915, 0x718e34ee, 0x52263bc5, 0x380b922c, 0xab8c8502,
+    0x476a9a73, 0x713cf933, 0xe7e3646e, 0xe613b33a, 0xecc736de, 0x587745fa, 0x4598988b, 0xbd6870a9,
+    0xfdf2fd22, 0x28e2a3a1, 0x6cf04785, 0x96810a4f, 0x02a587d2, 0xcff76343, 0xdc4b8103, 0xa3fb374a,
+    0x97acd624, 0x3f7d4463, 0x54ac5928, 0x9dfc2bc9, 0x50d26027, 0x61b47739, 0x2be4e329, 0x5956fefa,
+    0x1a8e7db9, 0x88e2ad8c, 0x0e3690e0, 0xa0383dff, 0x11907e89, 0x9d7c9689, 0x0563d919, 0xf4d09831,
+    0xad985b42, 0x223f1e9d, 0x85f65547, 0x6e1e538e, 0x4d618f93, 0xecf03865, 0x5e7d6321, 0x6bc49a39,
+    0x4ca32ddd, 0xb425cb77, 0xc76fd5f8, 0x115237f7, 0x4cd93c76, 0xf98ea3a4, 0x5cea2f30, 0x35a3a8b4,
+    0x3a29ee04, 0xb78faf4d, 0xd47d289f, 0x6e2b1aeb, 0xd2512089, 0x9a9c7d3f, 0xdf4bdb5b, 0xd10a9c8f,
+    0x073dbaf5, 0x00873867, 0xa55a5124, 0x0873b6f4, 0xed8af467, 0x0f2a0186, 0xccce2084, 0x2425f50c,
+    0x51e4d26f, 0x121104f3, 0xe990085e, 0xe39a4d7e, 0xd7922e60, 0x0221b162, 0x4228284c, 0x07b4822d,
+    0x754b2abd, 0x4e7380ac, 0x6f49a3b1, 0x64618430, 0xd66bc4fb, 0x82fc0f26, 0x0b48889f, 0x5a6e7c2f,
+    0x025f278d, 0x49e33350, 0x002af65a, 0x5bf64184, 0x75d1af2a, 0x144e8af3, 0x1d425d77, 0x0fc36786,
+    0xb7e29001, 0x057a021f, 0xff6f2a91, 0xd315937c, 0x9b9850c4, 0x6e12728a, 0x3df3a742, 0xd0e9ecf1,
+    0x9dede0e5, 0xaecfbf5b, 0x25db00e9, 0x9f9b922b, 0x6c89c262, 0x34c48a1e, 0xd93d5081, 0x85116956,
+    0xa7460584, 0x9b649ed3, 0xae58b026, 0x9373e0bb, 0x51e1d19b, 0x489599be, 0x6536dd89, 0x90daea69,
+    0x8bc7d4e1, 0xc15e2c43, 0x263a12e5, 0x91cfd37a, 0x9f62d0b4, 0xd3439c45, 0xfae6e463, 0xd02d83af,
+    0x00000000,
+    0x90105cef, 0xa9d236d5, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0014134776518227074636666380005943348126619871175004951664972849610340958208 */
+  { 0x00000000,
+    0xe02d7dcd, 0x3583a400, 0xe59bd527, 0x036acdfc, 0xc50dac97, 0xc45d1e96, 0x363c835b, 0x5393a3d0,
+    0x21c418aa, 0x1d10523e, 0x5c624525, 0xbc8fac16, 0xae34b1f6, 0x820ff2be, 0xc39bafa2, 0xa3dcf251,
+    0x9fec6ac8, 0x33c30905, 0xdb521f7d, 0x91e37389, 0x0968bdbb, 0x857be30b, 0xf5f69078, 0xfb2cffa1,
+    0xa09146a1, 0xa0afea83, 0xd42054ef, 0x4f6cbae0, 0xadd472b5, 0x2d76ed4f, 0x7967bc58, 0x237b3048,
+    0x28c031a1, 0x95bb07d4, 0x7ebe6619, 0xd9b0db03, 0x65ab5e5f, 0xefb600bf, 0xfac1e0b5, 0xdaf0acc7,
+    0xa1c00f18, 0xa7424bd4, 0x6072f2f9, 0x23e40126, 0xfe309a11, 0x120c4d55, 0x2649c92e, 0x111cefab,
+    0xc93be1ca, 0x5fade6ee, 0x8f8298c5, 0x2f7f5456, 0x5803fc70, 0xc71280ca, 0x65de770f, 0x4fc5fae1,
+    0x5ea85173, 0xcb27c872, 0x72c9a668, 0xd988d1cb, 0xa3a026db, 0x398b7e7a, 0xd80020ce, 0x4ccbb6d5,
+    0x6db5ad14, 0xd01a62fd, 0x3d39757e, 0x5d02dcd9, 0x9e4c4dbe, 0x8d52a99a, 0x13e85a14, 0x59a83ca7,
+    0x3c6a2921, 0x3a0d25b0, 0x8c758ce1, 0x13d83872, 0x8c2f100b, 0x1be90517, 0x60807c6a, 0x0ad27637,
+    0x6c10045c, 0x07f9cf10, 0xb9ba31a5, 0x7df64ae5, 0xee80a3d3, 0xfd81c119, 0x544f6b2a, 0xee7938ca,
+    0x49f612f3, 0xce664bfd, 0x40574936, 0x0316b503, 0x90061c83, 0x188adce8, 0x0f5a66b5, 0x6f992815,
+    0xac294c5b, 0x74a64b40, 0x850c68e7, 0xd0709c3f, 0x6189902d, 0x237bcafa, 0xba9d240a, 0xd8477719,
+    0xdd295ee4, 0xf90eb0e7, 0x4fb09b6d, 0xd41d72fe, 0x839a1104, 0x5d511295, 0x9f8da6ae, 0xd111f247,
+    0x1c68b3f1, 0x9cf761e5, 0xd60914ee, 0xe324e44f, 0x00439e13, 0x5720fc60, 0x63b1f5fc, 0x3ed99dc6,
+    0xcdcd0c3c, 0xbe54cc28, 0x1f541026, 0x34407328, 0x46deaa04, 0xbf6a7993, 0xf7052894, 0xaf59be53,
+    0x8d25ebb8, 0x1b93d08e, 0x343210a8, 0x5d0b1bf3, 0x4cd4c789, 0x0746ca2c, 0xbb017355, 0x862fc609,
+    0xd2249237, 0x33006c4e, 0x48c1b9be, 0x3c580ea1, 0x94164d66, 0xbbe4152e, 0xca99eb49, 0x5578dd00,
+    0x7798ca48, 0xe8a3af55, 0xc2b6f218, 0x506aba0a, 0xb48839c1, 0xd3f49b87, 0xb53b250e, 0xb39af385,
+    0xcc905d22, 0x7fd986c6, 0x57fb9d9f, 0xe27c0e8e, 0xaa22ef1e, 0xfa81b564, 0x41c689bd, 0xbd424fef,
+    0xbdcb16c5, 0x1d9c3c7f, 0xa39e01c5, 0xcc4fb331, 0xa74f4c0e, 0xb93e0d9d, 0x23b79201, 0xf2c3e191,
+    0x21016d28, 0x74bffdfa, 0x703e861f, 0x7f68c1dd, 0x62137d6d, 0x8ab817c6, 0xf56789c4, 0x81c4f0d2,
+    0x0f4a6922, 0x903ae2b1, 0x83f8c1b3, 0x9dc41e0a, 0xe78bd9e2, 0xb63ce4d3, 0x146868b3, 0xeb049c70,
+    0x52fe6971, 0x5c7b3c58, 0x8a6ef877, 0xf50ba6df, 0x3da72bc9, 0x510cfe91, 0x87e78f80, 0xdd110f31,
+    0x2e293519, 0x34d73fee, 0x028c506b, 0x4a596460, 0x7dde988e, 0x819bb201, 0x3d7d9414, 0xb8d44182,
+    0x8d0f52aa, 0xd3b1a14d, 0xf28f64a6, 0x0fcf156d, 0xcc921ed9, 0xe3fab7dc, 0xb63573f2, 0x03a044a9,
+    0x9b893093, 0xa2320c88, 0xdb288df9, 0xfd0f99d1, 0x5d83e0c7, 0x6ece8723, 0x0f4408e3, 0x97f6c316,
+    0xdc075df9, 0xd16911fa, 0x8eb369a2, 0x45d5eb99, 0x6a5dffac, 0x1a48fde5, 0xcfdf67b5, 0xfdd660d5,
+    0x8e6e6dc4, 0x2f3999fc, 0xa897f84f, 0xf97b63b9, 0xdfd1a2d3, 0xa4d26cb8, 0xff23a890, 0x0d641a0d,
+    0x0bc59cc3, 0x45d913b8, 0x2e22acf9, 0x1235409d, 0x91d0aef9, 0xa67f8ef8, 0xd3a805e6, 0xffa299b2,
+    0x4d21061b, 0x31dbfc73, 0x52dd5c49, 0x5642e0cf, 0x3572d7ca, 0xa4cef349, 0xc9810b31, 0x308dd2cf,
+    0xce5e268d, 0xc229a5f7, 0x19ed2cd9, 0xd29a47f2, 0xed984455, 0xd1cdc051, 0xb1af49c7, 0xe6029f06,
+    0x6d2a6c77, 0x50b782e8, 0x615fddfd, 0xde012e04, 0x9f4c74e0, 0x48f00d87, 0xc6280b65, 0x155cf40b,
+    0xbee37e79, 0xf5a57c52, 0x065c277a, 0x692eaef8, 0x90b5aa8a, 0x5f13420b, 0x2a9ec067, 0x27bf3aa2,
+    0x23dd4f0a, 0x927a68a2, 0x1e917a10, 0xce08bf90, 0xe4ef0936, 0xfec42bf3, 0xe84c42f5, 0x642b2626,
+    0x40819044, 0x84e88b22, 0x98e7f5b9, 0x2f4a42ee, 0x75de16dd, 0x37581e99, 0x52ae4ac0, 0x5470a4d9,
+    0xff5241ca, 0xa9d55bb3, 0xa77431a1, 0xd90e4264, 0xb3a145ec, 0xac3aac9e, 0xa057914e, 0x4d03a73a,
+    0x31a5ef33, 0xd8ccd58e, 0x53fa622f, 0x16157527, 0xcf84eba0, 0xbe95d84b, 0xb8525843, 0x9e684c32,
+    0x80ae3a90, 0x8c3f863a, 0x688ec794, 0xefba2e5f, 0x0c3f585e, 0xda2e9a11, 0x5b628faa, 0xce80417d,
+    0x11b7d239, 0x08a86b2a, 0x3195afdb, 0x75d6bd8c, 0xc48f88ce, 0x7342b883, 0xe2a363e2, 0xe09cc761,
+    0xcb20c81d, 0x650667eb, 0x2881dc14, 0xc6600c9c, 0x24552d4c, 0x2175ebe9, 0xc4a9bf65, 0x44526dc6,
+    0x49cea07c, 0x0b461146, 0xc095e5dc, 0x483ff4b2, 0xd5f5f886, 0x3fece1ba, 0x1dc6fc5a, 0xf418ffa1,
+    0x13995f7e, 0x942e47a3, 0x591e7ab9, 0xa3945ce9, 0xe6ec4ce9, 0xd4e4cb66, 0x3f1f86ab, 0x27c852fd,
+    0xd77e212a, 0x3f864008, 0x4ba7fa59, 0x6f6d8725, 0xcffb86ab, 0xc2f80674, 0xc731b01b, 0x290eda5e,
+    0x26d2484d, 0x1864d959, 0xe1e2f1c8, 0x02b3cbfd, 0xc1be8e1f, 0x2e373386, 0x988de7b8, 0xe1f08a46,
+    0x3265e328, 0xae2f81de, 0x895a0994, 0x1ca19670, 0x386791fa, 0x389b00ab, 0x991638d0, 0x5415079d,
+    0x8bb66acf, 0x23d392ad, 0x7a598d53, 0xdd4ab046, 0x57e3386f, 0x255b9031, 0xca2a7d11, 0xcc9006cd,
+    0x55c3f94d, 0xffcc4a21, 0x7a6e4dbd, 0xc4601695, 0x37cfeb3c, 0x6db5c0dd, 0xc37c7e2f, 0x9fa99c4d,
+    0x62ce4177, 0xf423f0b3, 0x72277e03, 0x0f8f47c2, 0x1dd8d986, 0x8b3183a7, 0x50f28a47, 0xa5194bc2,
+    0x1c959ef5, 0x95e0c8da, 0x493afd96, 0xb198c973, 0xa218b24b, 0x32ff691c, 0x12162ba3, 0xebc3f82f,
+    0x3126478b, 0x6e165270, 0x5d2166e6, 0xcdfd4d69, 0x7e02b7d1, 0x37515cde, 0x84cfd07b, 0x7c76c051,
+    0x2455478d, 0xbf9df953, 0x98a9a1f4, 0xc1e1bcb0, 0xabc1cc8d, 0x40cfd503, 0x0da88ae4, 0x057fea72,
+    0x25df9845, 0x86dc768f, 0x8ea482e5, 0x4bb359e6, 0x01f1a193, 0xa5542cfb, 0x82ca0d45, 0x21b3094a,
+    0x587d981f, 0xe9cbaaa0, 0xabf7a5f0, 0x1538e858, 0x27aca3d9, 0x5e6cdba0, 0xcac9e6a2, 0x5a68e188,
+    0x6bde6917, 0x9d4ffb15, 0xb8dfef2d, 0x361196bc, 0x2dfd2356, 0xc3d1f737, 0x167d3794, 0x4243477f,
+    0xbec4b4e6, 0x62db3f76, 0x09390435, 0xf466ed94, 0xccfdc1b4, 0xa387b1c4, 0x07b24c6d, 0x8dead19b,
+    0x1f893455, 0xdd78447c, 0x16d29055, 0xe3fbb609, 0xed1a1c9a, 0xb6b33362, 0x26f9f7ed, 0x06bef353,
+    0x2807412e, 0x1ab9ebc1, 0xc6a61ec2, 0x3cc7a04a, 0x9c21144f, 0x48c9a725, 0xc248fc68, 0xd669151e,
+    0x2e731f72, 0xc55ab120, 0xf4acd27b, 0x2b0f8b51, 0xe566e44e, 0x9b6227e0, 0x8229dba3, 0x3cfe1f1f,
+    0x722f409d, 0x1463f957, 0x0c4c1960, 0x56c3ef2f, 0x1b5908f2, 0x158e1f8b, 0xc87ea17c, 0x56070cfc,
+    0x7b6fa58c, 0xb3b0e80c, 0xe9bea8ac, 0xcd94e20f, 0xaa327752, 0xaed56072, 0xbaa556b9, 0xb07d1701,
+    0xa58e0cc0, 0xb1802628, 0xdc18b821, 0x8be638aa, 0x79862916, 0x1abd0ec1, 0x36e0b6bf, 0x3a3aa737,
+    0xd557ea77, 0x061267da, 0x774b88fa, 0x4bae9923, 0xb95e9bfd, 0xacdcbb04, 0x0f27d9ce, 0x8925ed95,
+    0x9251cb26, 0x527f61ee, 0x089005ff, 0x45784d8c, 0x881b2dd0, 0xd99de306, 0x6a258052, 0x22cb131f,
+    0xd28feb0b, 0x075d7823, 0xa1a77754, 0xc6fa7dd3, 0x00887163, 0x2556f823, 0x96dc48f2, 0x79d3ad73,
+    0xfe56684a, 0x499f3f53, 0x2250a352, 0xd87cd88c, 0x86c29762, 0x21cf73fd, 0x35a755ec, 0x9ac690c9,
+    0xd49c04b3, 0x1e81b888, 0x42790aac, 0x7ffad27c, 0x191fe1f5, 0x19516af7, 0x8ad8c118, 0xef522320,
+    0xf817ae6b, 0x6869bfb7, 0x39c67aca, 0x6034d54b, 0x5fac273e, 0xc914c6f0, 0x0076eb30, 0x31befb97,
+    0xfb32dcc3, 0xbad9006c, 0x3473554a, 0x25dbe3b3, 0xa7ef56c5, 0xc044a80a, 0x6930fcf6, 0x2839e6fb,
+    0xb325e431, 0x047b098b, 0x6dc4005f, 0x6e273b03, 0xd9972437, 0x0162c878, 0x093eb7ef, 0xf7eb8519,
+    0xf6e53d9f, 0xa2329c57, 0xd2f152cd, 0x3d7b14d6, 0xc8ca3451, 0x7c0be695, 0xfe773690, 0x7ae58247,
+    0xd1aa6678, 0x19529628, 0xb717e2c7, 0x64c5f95a, 0xccddb055, 0xa352a374, 0x7700ec94, 0xb3fe6922,
+    0xd765d6fe, 0xfa000346, 0xce69837f, 0x6aa8d7b2, 0x90f5c9a2, 0x57a2b61b, 0x60898d39, 0xa8458f9d,
+    0xd6d64cc9, 0xf600ca8c, 0x344ebe8c, 0xe8faaef8, 0x9deaa452, 0x071d3d39, 0x928e5a67, 0xe1547d5c,
+    0xe7a396ec, 0xbf050ea4, 0x55ffe103, 0x361deb12, 0xc785a32e, 0x3ef47714, 0x43910a48, 0x9c3844a6,
+    0x70add688, 0xfe2d3b4a, 0x9fc8950c, 0x5ff98f2d, 0xc9066401, 0xe970c0d9, 0xc892cb8f, 0xfd666b82,
+    0xe531b139, 0x9bff9604, 0xc02992ef, 0x9a8fae05, 0x873d4913, 0x6fe7edde, 0x62c4d968, 0xd3420af7,
+    0x1e87fb4a, 0xb1b76478, 0x3213e583, 0x5a192a91, 0xb5bfa2bf, 0xa51e6532, 0xd7678b75, 0x2476d057,
+    0xc3c79a43, 0xdc4b97e1, 0x1795adaf, 0x9909caea, 0x224cff71, 0x6d7f7f97, 0x45ef594c, 0x1150d5d3,
+    0x2813c40c, 0x0e6eac96, 0x37795f8b, 0xbf6def6c, 0x08163dc3, 0xe6853025, 0xd7b9657d, 0xc63d12ae,
+    0x79a88cc9, 0x495a0f31, 0xdb1ab2cb, 0x8ff44a2d, 0x9fddeecc, 0x15d0c26c, 0x1f7c884b, 0xe34a7ca9,
+    0x4f875bf2, 0x175e261d, 0x973d1fc7, 0xf4b16bcb, 0x15dc5313, 0x6b8d3b5a, 0xe787f2ec, 0x87df0237,
+    0x14bca03c, 0x66c03409, 0xb71be5ec, 0x1aaa176e, 0x67ab315c, 0x01e59224, 0x1889efd2, 0xb1d2bce4,
+    0xe59ff038, 0x87a6251d, 0xd49b7f17, 0x4dadad73, 0x3ea52320, 0x4ad77f5b, 0xec86e1bb, 0x08cb142f,
+    0x8fe70cda, 0x8bae1092, 0x786254c3, 0x31e82c31, 0x1d78e46a, 0x57bc046f, 0xb4430fbe, 0xe2fab097,
+    0x20d9c1fe, 0x620157e1, 0x5ca7b6ef, 0xcd99cd4d, 0xc6134ef6, 0x505270a3, 0x85f2d0e2, 0x6202d1ec,
+    0x727b3f0d, 0xa43fbc25, 0x2742d29d, 0xb8011e8c, 0xfa4f731b, 0x4cd0efff, 0xec3487cd, 0xafb4719f,
+    0xbc442b44, 0xb4fc3ec8, 0x57f78c1f, 0x487d7781, 0x14984118, 0x5ea91748, 0x92498166, 0xf9d9d499,
+    0x37eae5b2, 0x06387849, 0x157c06f4, 0x112fc06d, 0xa1f6f700, 0x256948ef, 0xb9d4c713, 0xfae38740,
+    0xddaacfc2, 0xba88a5f3, 0x292a00a8, 0x723cbc07, 0x1bd8fcc9, 0xeb24faa3, 0x6c880f32, 0x34bbc173,
+    0x2db933cd, 0x849a6af0, 0x5f8d1259, 0xce51158e, 0xd767ed5b, 0xf6aca21d, 0xff6e625c, 0xf6458f80,
+    0x717e8e73, 0xed31110b, 0x6f575cdd, 0x3222f450, 0x9db6d8d7, 0x2994c1a2, 0x6b4e2c72, 0x86b7e640,
+    0x92bca735, 0x2b29b46b, 0x3e208b29, 0xfbba2218, 0xb216a7dd, 0x7f4abb06, 0x61c2bd5e, 0xeee0fd6f,
+    0x7d6edea2, 0x060140fe, 0xa484cdc3, 0x3afc92b6, 0x590be85d, 0xc687e6a1, 0xae72d41b, 0xd4e103c5,
+    0xdb88232c, 0x385c4a5e, 0x90d9ed47, 0x22f2cbe4, 0x79cfcfbb, 0xc6067894, 0x9ecb67ee, 0x670b82cb,
+    0x0e058ed9, 0x13bb4169, 0x14c32528, 0x43a1c039, 0x03565d16, 0x4ea9d189, 0x677e47f9, 0xcb21cffd,
+    0xf8412de7, 0x5813bf42, 0xdcd2776f, 0x3a5d9b8d, 0xade88eec, 0x00093ff5, 0x002611f6, 0x0ebf5ec3,
+    0xf4ab4134, 0x12a51407, 0x1ba3d9c0, 0xa4df7e58, 0x68be1ce4, 0x04fceb59, 0x8cc0ebef, 0x6949a161,
+    0xef8bfb4a, 0x183b5a98, 0x253439dd, 0x5a9d3b3a, 0x8f270aac, 0xa4d96a51, 0x10646b1d, 0xc3885a41,
+    0x57875af9, 0x9615c026, 0x032bdaa8, 0xf0ec6ec1, 0xc9b88ddd, 0x26ce497b, 0xb568b37e, 0x65b16d88,
+    0x964c677d, 0x430b5fdb, 0x1f7ec2f9, 0xcfdc5989, 0xd2cb7736, 0xcb38b3bf, 0xde8e7f0c, 0x594d4c88,
+    0x69d03ca4, 0xf2129613, 0x175f7365, 0x22dcc7ca, 0x4f8d964d, 0xf423689e, 0x62607cc8, 0x2bb18da3,
+    0x3596d1e3, 0xb263ef12, 0x9594fa9a, 0x285fbc5d, 0xe53f1f90, 0x03bb711e, 0x55db180d, 0x727c4966,
+    0x90631264, 0x37b8b4bb, 0x97bebef9, 0xf904ed2f, 0x07b9ab64, 0x486fe5b4, 0xb236df6a, 0xd801b7af,
+    0x39a57eb8, 0x581c8ac3, 0xb7802590, 0x22a0f253, 0xad517194, 0xddb567b0, 0x0677e23f, 0x31f003b0,
+    0x0c762bb8, 0x440bab98, 0x27d59e88, 0x335af5e4, 0xfe4890fc, 0x1a0696a8, 0x1c8943eb, 0x2ec9f5a4,
+    0xf6e4a8d9, 0x59fd7206, 0xc016d090, 0xfe68e52f, 0x859cbf74, 0x169fce31, 0xcf646e52, 0x6b372d11,
+    0x5bdf4789, 0x892eba69, 0xacad9579, 0x24b1bb35, 0x03065723, 0xed6d946c, 0x109dcd9e, 0xc68bc33f,
+    0xeb296502, 0x0a00a691, 0xf0decb70, 0xc5212dee, 0x734a70ff, 0x362586d6, 0x0bd47dce, 0xbe90d621,
+    0x6fa7d774, 0x409f0951, 0x39279aee, 0x601cea55, 0x6a91cf87, 0x08f72a16, 0x44b80b03, 0x464728cc,
+    0xd778a95d, 0x04322f23, 0xbab98f28, 0x47a14638, 0xd2832a7b, 0x45ea0134, 0x0f6a9a68, 0x40e6dd36,
+    0xd97293a0, 0x95792bf2, 0x4168ad91, 0x75bae0eb, 0xb02aa704, 0xc40548b0, 0x699e93e4, 0xe683c725,
+    0x253720ce, 0x04e28795, 0xb4f8da0e, 0x843d5dda, 0x2bc8bcf6, 0x31063c6d, 0xae79e7c6, 0x590e38d7,
+    0x3b9c4894, 0x9ce669fc, 0xcc8282f2, 0xb367c298, 0x1a6e1dce, 0xcdb0f388, 0xf099a350, 0x7dd87af5,
+    0x0f2f0ca5, 0x74c9c752, 0xd71f1699, 0xcba29ef8, 0xe011725a, 0x0729db3e, 0x1c11e46b, 0xd62c1da7,
+    0x22f7a1c3, 0x08ae55c7, 0xcabbc5ce, 0xbf24cb0c, 0x7ba2c21a, 0x0e7f674b, 0x20d9b5f3, 0x3d87fa27,
+    0x14239124, 0x3053cddb, 0x92cab9c7, 0xeb1b5ea2, 0x7c803404, 0x01e82954, 0x2e2b9215, 0x4d177e61,
+    0x93eaa582, 0x132f1bb8, 0xf3c31ee5, 0x985a0654, 0x477563ea, 0x25ebc482, 0x38bd129d, 0x26fe3bd0,
+    0x59126a8e, 0x2ed85596, 0x41b2101e, 0x190a9572, 0x77a25b68, 0xdc90e9b8, 0xc1a62d59, 0x68a15673,
+    0x8622cf2a, 0xeaaa2438, 0x96a89c77, 0xefb88930, 0xc5994d0c, 0x2c6853e6, 0x91feb3de, 0xe962f306,
+    0x35cc3458, 0xc10cc766, 0x23a3f66e, 0xb27cbdce, 0xd601282c, 0x34edf16c, 0xa4dd303a, 0x92605d9e,
+    0x459ebf88, 0x7619b737, 0xd2c33bf5, 0x203bcdb9, 0x4167a5db, 0x6b382fa4, 0x24e7fd54, 0x3bd0bd70,
+    0x37aa2b73, 0x592982e1, 0x83122f50, 0x16a9dd05, 0xd2119f0a, 0xec83b3fa, 0x34d25244, 0xc583ba2d,
+    0x38f5671b, 0x112d0b3d, 0x48b0f368, 0x3149f9cd, 0x7a0242f1, 0x705d681c, 0x8c911cb6, 0x0cc45804,
+    0x79e6866a, 0x079cbd95, 0x4f76b1c6, 0x7d17d39c, 0x81c5a7ba, 0xcb72b7f9, 0xd572e92a, 0x070de002,
+    0x4e6344a3, 0x8e46c9ed, 0xde8a004e, 0xa4f9aabd, 0x37bcc63e, 0xb0067278, 0x9fd71f57, 0xa33d0429,
+    0x00000000,
+    0xc8082e77, 0xd4e91b6a, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0007067388259113537318333190002971674063309935587502475832486424805170479104 */
+  { 0x00000000,
+    0xfd35e39a, 0xd6c2f0cf, 0x2a3a8689, 0x90e2c456, 0xdbca6ab5, 0x931ebca3, 0x6f6324c3, 0x88189509,
+    0x71343101, 0x1c32187c, 0xca8c43ff, 0xa574cab1, 0x74e2e1f6, 0x2b877f96, 0xcbd030d3, 0x0f3d5fba,
+    0x119b8a63, 0xde8dd374, 0x4c6ebb9f, 0x4d202f8f, 0xd849ebe8, 0xce6a839b, 0xe4ee3982, 0x77a73a6f,
+    0xe959366d, 0x35204cb9, 0x60d50ee1, 0xa2234740, 0x710e053f, 0xcb7e2f56, 0x3d5d670a, 0xfe04c194,
+    0x90561dc5, 0xd3d5488c, 0x2fbc0096, 0x337b2753, 0xb6f4af16, 0xdcb88768, 0x933aed4e, 0x211c2f9c,
+    0xc2cb2688, 0xb19263d1, 0xc6a8d759, 0x4af3a306, 0x3d2d21ec, 0x2135864e, 0x3159c09a, 0x376e0808,
+    0x5f77bc16, 0xff2b1b8c, 0xd31986fd, 0x3f9a09dc, 0x8637a38e, 0x4460d581, 0x23684566, 0x5d02181e,
+    0x1fe77d83, 0xff2c9733, 0xa987e71e, 0x77b72af8, 0xd34fe018, 0xf56a85f7, 0x4a9ccb4b, 0xe193fb0d,
+    0x386cf594, 0x6ec1e42d, 0xcdc981ee, 0x91bd4b67, 0x589e39e6, 0x99602400, 0x4eb12912, 0x1b8ba7bc,
+    0x1e3e38b9, 0x56a92bf4, 0x77f910f5, 0xde34f30e, 0x935b16e3, 0x09b16c63, 0x1e0ddbce, 0x85fc5d17,
+    0x9e4c8beb, 0xe9f1c5b9, 0xd3b7519a, 0xe598cc67, 0x89840c1b, 0x21e75881, 0x693eb6d5, 0xcc9afc9e,
+    0xc0588755, 0x0d31778e, 0xc5a40184, 0xc95b1e31, 0x8c388102, 0xca8df82d, 0x348e47eb, 0x515fb37d,
+    0x7f93a295, 0xaa3bd993, 0x3c08c10e, 0x3609f6df, 0x02260065, 0xfe266cb8, 0x35261315, 0x3acd03d5,
+    0x8b8cfd3d, 0xb586d050, 0x6ebbd7a0, 0x0061527c, 0x4bec4711, 0xdc7fde47, 0xfd8c12c5, 0x3ff87172,
+    0x30f441e4, 0xa2389dc5, 0x3fa83f94, 0x4e4d24a5, 0xb604ece2, 0x66146f7a, 0x072f083d, 0x79d8388b,
+    0xc4a4ba4c, 0xff58b633, 0x0bb5de0e, 0x963896f6, 0xfd130654, 0xb65eb514, 0x95e79bb9, 0x87a56a1a,
+    0xb9825477, 0x4a61a10f, 0x88f7e47c, 0x6b553f49, 0x54e02b8b, 0x07a630f8, 0xff8ac34e, 0x7c491984,
+    0x3eac744b, 0x8e989dd4, 0xb1f1df05, 0x2b543482, 0x94d56ef7, 0xe9ff4211, 0x6675c7c9, 0x07fc1e82,
+    0x96c99675, 0x735e3c30, 0xc92392d6, 0x8f146f54, 0xa213d480, 0x971f4fcc, 0x96df4212, 0xd26b8fa6,
+    0xa59b9c3e, 0xfce582cd, 0x58d26a0d, 0xf7bc9ffd, 0x4fc0e53e, 0x9db28858, 0x302ac0ee, 0xd8f3fd6a,
+    0x8400d482, 0x68640c69, 0xe0a18ce9, 0x15b82a5b, 0x580d7d90, 0xc8886e59, 0x63db2fcf, 0x51dadd3f,
+    0x856b9244, 0x7277245d, 0x4cbb1204, 0x312cd554, 0xcc773c3a, 0xe1e9fdc5, 0x1a06bde7, 0x8caa51d2,
+    0x3b981946, 0xe9b925a8, 0xa98da00e, 0x48011318, 0xe8370fff, 0xb180f1ab, 0x13ab58dc, 0x0173bfde,
+    0x25acceca, 0xdb5e7d35, 0xb9b67dae, 0xddd4c4e4, 0x135a6852, 0x54ef92b9, 0xabf9789f, 0xbeabc613,
+    0xcee86c14, 0x5b83c7c9, 0x77076ac8, 0x075cd5d5, 0x45fcd4cf, 0xc6e7684f, 0xec08bd54, 0x7bd09706,
+    0x7c7a6210, 0x583f9abf, 0x6015ff27, 0x5e03b028, 0xc3b0f23c, 0x2aa69c9b, 0x487167db, 0x10f31e78,
+    0x84809e98, 0xad52b8d8, 0x03256cb1, 0x12a9af86, 0x614fac39, 0x48ce12e6, 0x2ce84227, 0x12232dd8,
+    0x875ebf97, 0xbadc4638, 0x2761a6df, 0x1cc1dc91, 0x0e902093, 0xda2599f3, 0x90564ecf, 0x75de191e,
+    0xfc5ba3a8, 0xfc81d7c1, 0x9a713563, 0xcef7f2ae, 0x5c662395, 0xba002bb8, 0x9cce9152, 0xc63e8182,
+    0x30d12fb6, 0x672848bb, 0x0aec00b3, 0xc15a4cca, 0x18eec549, 0x55d311c5, 0xd0be3cef, 0x8d1a8d84,
+    0x07fa0d08, 0x2c7adc78, 0xc8f960ba, 0x58033521, 0x4e81f99b, 0x0c732e04, 0xd8f20280, 0x1d57f6bd,
+    0xf77d9d66, 0x8bbf650e, 0xa95497d6, 0x9a6bce4c, 0x633038a3, 0xa13ecf53, 0x29528ab3, 0xdd69ad24,
+    0x9964a74b, 0xa73ed8c0, 0x06221223, 0x6b5b412c, 0xab6833b2, 0x9c8119f0, 0xe396d85a, 0x916f3b7a,
+    0xb003a034, 0x8b2bc811, 0x150cc744, 0xef54704c, 0x39c575ac, 0xee96b0a3, 0xf3d7f1e4, 0x96c4841d,
+    0xa50477e1, 0x1b6697a8, 0x055a0dac, 0x3160fafd, 0x7b2a0d94, 0x0bd35a66, 0x8a66ceb2, 0x92a76055,
+    0x6261d335, 0xeb847aa7, 0xd8c75fad, 0x1675e0ab, 0x81f87f84, 0xf3bcbab1, 0x216f5632, 0x9af8343f,
+    0x88dd7af3, 0x2023a8ee, 0x586975ec, 0xa457e08f, 0x1cd12e64, 0x66b045f8, 0x9adcd308, 0xc4febbc2,
+    0x493d9385, 0xca815dea, 0x41da1b28, 0xf58cd673, 0x5ed892e3, 0x2d13cc95, 0x5c72ad34, 0x138aa779,
+    0xa1131738, 0xc54a7349, 0x6cf45208, 0x789cff01, 0x5b1b2bc7, 0x7b97bd72, 0x05035fa2, 0x4563adbf,
+    0x9c73c837, 0x35cdde6a, 0xdf69e49b, 0x776c093a, 0x65b4f97c, 0x7049b55f, 0xfe8714d5, 0x1ccb36ff,
+    0x02344b39, 0x6004d5aa, 0xceaa47c1, 0xf16147fd, 0x3e5c1ab5, 0x542b08e1, 0xecac58bd, 0xa9661130,
+    0x77fffbff, 0x6b3ba598, 0xe5e14dae, 0xc4d3453c, 0x81dbe27b, 0x5182c87e, 0xaab5319d, 0xc9bd59fb,
+    0xd38e5743, 0x706ab71f, 0xd6ba5655, 0x9aa509ea, 0xc685ee24, 0x904d8754, 0x4718970d, 0xd5119b5e,
+    0x0743476d, 0xcacc426f, 0xdbd9e4d8, 0x2b43a635, 0xf00cda9e, 0xab263af8, 0x1956f87d, 0xc50f0b53,
+    0x231b51ee, 0x1a5187da, 0x7ad4ccb4, 0xadcf134a, 0x7f6754bf, 0xa3c24fed, 0xb4ab4152, 0xecf8d03c,
+    0xba07117d, 0x98c762f4, 0x1c9eb6c8, 0x7e7bfca4, 0x81c5e46c, 0x8dc19ba0, 0x29753f35, 0x4d4510f2,
+    0xb71b9250, 0x7dd8ee93, 0xad64adb4, 0xaed0c2b1, 0x4fc8eaf8, 0x089506f7, 0xa02cafab, 0x3c306c36,
+    0x9bab92df, 0xfe6bd561, 0xeb16bfa4, 0xcd318e35, 0x41ddb732, 0x71460edf, 0xca548eca, 0xbd8a095e,
+    0xd51f4da4, 0xac0b7eeb, 0x16f6e30e, 0xda748ffa, 0x9c30979e, 0x90ccb053, 0x93271b7c, 0x046a889c,
+    0x9316f36b, 0x1c502260, 0x0e44e0eb, 0xd5b91ec8, 0x0d6beaf1, 0xb218843c, 0x10aa4be0, 0x6c35dcd8,
+    0xacc02a80, 0x3c8734bc, 0xd01f1d0c, 0xc960df50, 0xadd13920, 0x21191597, 0xd618ad77, 0x88681541,
+    0xa9180928, 0x4885e09a, 0x03b91c55, 0x6e993359, 0x06d5edf0, 0x07ed0690, 0x5b698fcf, 0x00179fd4,
+    0x04c8b4d1, 0xf39256f3, 0x5a6af666, 0x805cca67, 0x1082ef18, 0x70e35299, 0x4c68f8cf, 0x39de92e9,
+    0xf182329d, 0x22299ec4, 0x6349bfc6, 0x079a67d7, 0x4bc0a6c7, 0x826fc021, 0xc4e28bf2, 0x59a9830e,
+    0x1c5f36f4, 0x26093140, 0x6ccb91b9, 0x0b4c467d, 0x30e71911, 0x7076c548, 0xd92b11db, 0xb250adbb,
+    0x2f153012, 0xfa6fad61, 0x7fe8bbba, 0x9b1b66d4, 0xec42625f, 0xb8b902ba, 0xd402f495, 0x7c86f306,
+    0xf705a3bc, 0xe589e1bd, 0x5e0354c4, 0x2372686e, 0x0fdd80e3, 0x6315cdd7, 0x8405650d, 0xdda149c2,
+    0xb9cfa4e6, 0x0094bf61, 0x1eb5b3ab, 0x1ccb5710, 0xdcc76716, 0x90e6bf1f, 0xeb487e12, 0xde0b20d0,
+    0x9da38c8a, 0xd988d2cd, 0x7241376d, 0x87e627c1, 0xf42f67ea, 0xf7048c79, 0x92f6246e, 0x43ffbe9b,
+    0xeeb22dde, 0x7c5957ad, 0xb2debc79, 0x02a2f054, 0xf1baed1e, 0xa367b52b, 0x03e06c50, 0x35cd21ec,
+    0x2cf6d061, 0x750f2319, 0xdb578c12, 0xd9c42417, 0xa26bbf90, 0x1f915bc2, 0x4499f743, 0x21e341af,
+    0xe5157508, 0xedad7841, 0x06601c2f, 0x306b3b02, 0x2210df40, 0xcb26fa17, 0x74b657aa, 0xff96670b,
+    0x01b7b2df, 0x0224e163, 0xcf8bddee, 0xce65f3f6, 0x3bc3b250, 0x9286f8bc, 0x998f2985, 0xa05e1e25,
+    0x52ca16d4, 0x9233ea81, 0xb2cf8dfb, 0x17b1615c, 0x1421c4b5, 0x6bf93e9f, 0xa21c259d, 0xe8653dc4,
+    0x0c681b84, 0x01bc914d, 0xb013e477, 0x0671aef6, 0xb27b8718, 0x27a0e1f6, 0x60a54d8b, 0x4690b584,
+    0x38204ace, 0xded78d4b, 0xa367dff3, 0x0efaa235, 0x37631713, 0x64244f0f, 0x962f2552, 0x3af833f2,
+    0x36122c0e, 0x3843c2bc, 0xb99d458f, 0x4c6fb662, 0xa46736cb, 0x8a7e6e84, 0x01b22634, 0x57bb16ce,
+    0x33a99120, 0xc96cb467, 0x48c83f1e, 0x7a78fa89, 0xf9caf50f, 0xbee737f1, 0xcb69f285, 0xe08a59b2,
+    0x7a10aa5d, 0xcc770aca, 0xfc4ba9dc, 0x2aaa7437, 0xff007e4d, 0x5c694119, 0xa8a5a1bf, 0x4dc1f271,
+    0xd7083062, 0xa651e6a5, 0x78f82cac, 0x1a9e8bcb, 0x328c0f28, 0x5b5942b9, 0xab2bcc2a, 0xae1077f5,
+    0xc60fb75c, 0x9f45a054, 0x823e5fff, 0xb31f066c, 0x211d096e, 0xfa639a93, 0xa6a8ae2b, 0xc013b9b2,
+    0xfd01e0b0, 0x18b41ef0, 0xe0fef02a, 0x8dddad8a, 0xe88cc091, 0x05d5f237, 0xd4c62cea, 0xe49e843f,
+    0xe97af7ff, 0x1ace0d9b, 0x043d2814, 0x3ec2f07d, 0x688569c1, 0x0c1abc39, 0xb3453e04, 0x4c51b91d,
+    0x170b6a59, 0xf6546d80, 0x49f04273, 0x999b5238, 0xd014b065, 0x66edca3d, 0x7bc765e1, 0xc153e44a,
+    0x2b6f77eb, 0x80b958c8, 0xe1d45ee1, 0xdc03fc26, 0xef627a26, 0x6746a963, 0x9b9af727, 0xe8650aa3,
+    0x3bc53917, 0xeac862e8, 0x13654d29, 0x167f81d5, 0x13249c37, 0x27b3b5ed, 0x7dd89e33, 0xfd19f828,
+    0xb164073f, 0xec90099c, 0xfe820d74, 0xb1e695fd, 0xb27505ac, 0x50549c11, 0xb66d02f1, 0x345715eb,
+    0x1468aac2, 0xdfee938d, 0xe3c276ee, 0xfa293cb6, 0x4c3b3f19, 0x271d3c9f, 0xfab808dc, 0x0fac4d0b,
+    0x83ddb74e, 0x72b4359b, 0x109e870f, 0x0b6279ff, 0xa5ce9958, 0xcf1f1ac1, 0xc3b3ed0b, 0x7b44e571,
+    0x91104c73, 0x98ab0018, 0x6dfee131, 0x51608156, 0xa4914289, 0x74463db9, 0x0fc71ebf, 0xd3d569a6,
+    0x48fb11c5, 0xb51876dd, 0x20b37831, 0xb82b41d3, 0xf3a6c7e8, 0x0ccf631d, 0xe45d04a9, 0x68598dc0,
+    0x5a80fa64, 0x85776d90, 0xb2b25af8, 0xb2ea1060, 0xffc67e71, 0xbaa25c3b, 0xf7560c05, 0xdb202452,
+    0xb9da7cb5, 0x9e083f03, 0x08933f21, 0xde34434a, 0x7f1dbfff, 0x46df2f96, 0x37d0ae29, 0xa65f6261,
+    0xfeab4b66, 0xa328820b, 0x077339f2, 0x27f9a9cb, 0x182f2f21, 0x82fdb50a, 0x625ee9f9, 0x517e715d,
+    0xf689480c, 0x5d614586, 0xd1802a23, 0x3651afef, 0xbcd64216, 0xd0c3be3b, 0x9d0f75af, 0xd34b77b4,
+    0x1b1c120b, 0x301f3a01, 0xad97394c, 0x3eae0109, 0xbacf7b44, 0x644094c6, 0x71e8ad6c, 0x45a6d8ee,
+    0xc211a1b9, 0x208fbe8b, 0x9485d5b0, 0xa463893e, 0xd348dbfb, 0xedb72d58, 0xce963415, 0x536252b3,
+    0xbd9c355c, 0x784bfce3, 0x7ac8ed3a, 0x7072c57f, 0xaf687544, 0x20b0e19b, 0x7d6050c5, 0xb762986d,
+    0xc4262680, 0x98ab2ff6, 0x26974145, 0x91ab6e26, 0x3242bf4f, 0x4da8d902, 0x167e2bc8, 0x162e93c8,
+    0xa73b3fec, 0x4b3e7929, 0xcdc52fa4, 0x6595c2d4, 0xfc6db3f4, 0x6a7e4831, 0xe1af242d, 0xba68b9fd,
+    0xaa1188c8, 0x63facdbd, 0x69b4698e, 0xe86b2fd8, 0x86095d49, 0x3f2bd8ae, 0xc91bd370, 0x506cb51b,
+    0x49ffe782, 0xf3182140, 0x5ab0b1de, 0x7dd96e4a, 0xbdb5a77e, 0x6f8de1d0, 0x3723fc12, 0xd5805799,
+    0x34b06a15, 0x883fe026, 0xab1b2a6b, 0x7b139737, 0x149334fe, 0x08fecdb8, 0x2148b145, 0x78dfe25d,
+    0x71fb6935, 0x016bb026, 0x357e2bfc, 0xbe50c656, 0xa5d0e925, 0x99bd269b, 0x5c390250, 0x5eaeeea2,
+    0x257cbc28, 0x5c06a057, 0x399e7f70, 0x69b0f813, 0xd70e9760, 0x6c3acc14, 0x5ecdd525, 0x194a8e70,
+    0xfbbec0a9, 0xe1a86ecb, 0x80db651c, 0x71c92e25, 0x11335bdc, 0x2673c060, 0x30b0a072, 0xc1ec71b9,
+    0xba5c7cda, 0x6de67956, 0x6ef342ce, 0x3983623c, 0x86a9ecc2, 0x81e661b7, 0xa852e312, 0x4530afb9,
+    0xf3ac5e5f, 0x0d0cf431, 0x884e1bb8, 0x85bf8317, 0x71082d17, 0xbb7a48de, 0xc4ef109a, 0x10e0b9b0,
+    0xaaa04189, 0x7adc7b9a, 0xda5211ae, 0x0bae4d84, 0xa571104c, 0x4598bce0, 0x9163e6fc, 0xcb422ccb,
+    0xb48939ea, 0x200e9233, 0xd1013373, 0x2eee56eb, 0xf8c7e902, 0xf7c2293c, 0x0be3eee9, 0xf4e29e8d,
+    0xfaf168f6, 0xabe8ed38, 0xee205ad2, 0xa3218878, 0xc31a2d0a, 0x61c13ca3, 0x14177d71, 0x200c2cbb,
+    0x8d63c203, 0x56b0886a, 0xfd7f3120, 0x0d0a248c, 0x9fb312e4, 0xef36e092, 0x8bb4958b, 0x06fdee9e,
+    0xb97807cf, 0xe24027d1, 0xcdaf285b, 0x78f52309, 0x6504a6a9, 0xea0768df, 0x5643a267, 0xa35b255f,
+    0x33993ec3, 0x56dfb802, 0x6d4e2a49, 0x1dba1dd2, 0xbc7df202, 0x57da5406, 0x57ff133a, 0xcb574685,
+    0xa9d5b7c4, 0x79341a7b, 0x75c1d4db, 0xe86a8eb2, 0x8846cf51, 0x452bad5c, 0x9822c83e, 0x0ec3c30d,
+    0x58f8f28f, 0x2ebabcdc, 0x5d602da4, 0x931ed78e, 0xd274a554, 0x6cacb4a5, 0x24de930b, 0x08510cd8,
+    0x12f574be, 0xd6f154e2, 0x792003db, 0xaee00ffd, 0x7ecc0a64, 0xf7c07f40, 0xe5f3c583, 0xb82ce6e8,
+    0x2e8c3f91, 0x5c317dc6, 0x50499e35, 0xffdd4aad, 0xba0957b2, 0x759d77d3, 0x39b4337d, 0xa91c326e,
+    0x565675d0, 0x74e3caa1, 0x9c38c53b, 0x0a73eb3f, 0x87f3c842, 0x6152c52e, 0x1dd11213, 0x362f6042,
+    0x2ecc3139, 0x734dadb6, 0x1cebd357, 0xdaea2c55, 0xf2de5dd4, 0x4e82dc6a, 0x6bd5a6b6, 0xa2f50d41,
+    0x1c7248d6, 0x374dfc34, 0x78763f1f, 0x48e2e477, 0x69ee6972, 0xa3817457, 0x813a3015, 0x5efb845e,
+    0x94efeb73, 0x6ddf9305, 0x9b15d32f, 0x2b4fbf43, 0x55a9be03, 0x4289d62f, 0xd3ba11bf, 0x0b62b98d,
+    0x3735ef6d, 0xe21dea86, 0x64d35cff, 0x64453756, 0x97f4b202, 0xbebb46d1, 0x8b152beb, 0x9276e157,
+    0xdb5b5eff, 0x86e35e9f, 0xc9e8a36a, 0x2f9ed739, 0xd8cc839f, 0x7af8e100, 0x7a46d791, 0xfd34ef2d,
+    0xdd5d1631, 0xe1700a27, 0xbe34287b, 0xc32b2b6a, 0x55b42a6d, 0xa8f04708, 0xbaeb0ead, 0x26bbfb91,
+    0xf4ae83f5, 0x1dac4eb1, 0xe68282f1, 0x887ae155, 0x980624c4, 0x5b9a4862, 0x0b645efc, 0x84268202,
+    0x8db9b0eb, 0x1f40f778, 0xf825fd2c, 0x721c21d6, 0x45c7def7, 0xf5b7e9df, 0x4b878572, 0xc052120b,
+    0x29ff0156, 0x21fe8fd5, 0x14cf88da, 0x750912b7, 0x86f748d5, 0x7f7a8cf7, 0x9b63e523, 0x5990efe1,
+    0x14023f87, 0x46777e72, 0xc14b3992, 0x57186131, 0xc859f584, 0x0daec3ad, 0x955e20f4, 0x21753cf1,
+    0x9078141b, 0xc492600b, 0x26836ee7, 0xb09c06fa, 0xaab04fc2, 0x65b2dd64, 0x28718575, 0xf4097f16,
+    0x26e98fbd, 0xceed7ae6, 0xdb76833c, 0xff40bff8, 0xa495be1b, 0xe5a57bfa, 0xc13922f9, 0xd4dddde0,
+    0xad125083, 0xf15fd524, 0xe0632540, 0xc010e898, 0x819b48ab, 0x00987e2a, 0x0ed82297, 0xb30a97ac,
+    0x1e91f2b6, 0xf8ebef5b, 0xdbc1c4da, 0xdc1d92a1, 0x25e044e8, 0xd39ad5a1, 0xb6c6ad3f, 0x303303c9,
+    0x747b3538, 0x1b3abbeb, 0x83cc3523, 0xb2480362, 0xf996e2a0, 0x73f4a0e0, 0xcba307f4, 0x5675c769,
+    0x9a6de994, 0xc3a210a8, 0x9e6cfc69, 0x4d8032e7, 0x672d1ca4, 0x98118343, 0xa21bca43, 0x89933c85,
+    0xc1e4ece3, 0xf058e192, 0x23878f3f, 0x3b87c8cd, 0x07f472ce, 0xeb6e4e02, 0xfcb3e6ac, 0x908ca0bc,
+    0x00000000,
+    0x6404173b, 0x6a748db5, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0003533694129556768659166595001485837031654967793751237916243212402585239552 */
+  { 0x00000000,
+    0xf69bdb74, 0x16bb2702, 0xebd894b6, 0x1674626e, 0xbb8881a4, 0x5f412da0, 0xe0d9cb44, 0xc1d91df7,
+    0x0302c1db, 0xc8dbe84f, 0x02f6cb09, 0x700c3065, 0xbdc1fc49, 0xd7771537, 0x9ee4661c, 0xdc48f603,
+    0x89fb73b6, 0xed19bc1c, 0x829fbb05, 0xb43f055d, 0x7d8ad449, 0xe42e4b51, 0xe1dbc642, 0x9610d561,
+    0xf304fb2e, 0x0d6e20ba, 0x66fe229a, 0xa8204801, 0x5d0760ae, 0x96ae7941, 0x7edba29c, 0xa2331087,
+    0x396c4261, 0x53999daa, 0x672dbf3a, 0x9728f55c, 0xfa17c0ed, 0x3c330dfa, 0x52e6ba1a, 0x12006e05,
+    0x33db5657, 0x246a4378, 0xa62b56a3, 0xcad8f4bb, 0xdeff5517, 0xee305274, 0x90a060fa, 0x6f6b961e,
+    0x587fbe2d, 0x843abb11, 0xd17af37e, 0x9d0cbd3a, 0x808f1d6d, 0x5d71bf66, 0x4000e727, 0x3fca4cdc,
+    0xabb8aa44, 0x9af0f8f9, 0x7afde041, 0xe4ddc980, 0x5ebd6ba7, 0x609cacf7, 0x08614a99, 0xd43a1351,
+    0xcbb24b2f, 0x467143cc, 0x09d81d96, 0x1af9066f, 0x9db49d87, 0x18661f48, 0x3cdee424, 0x1aa73cc6,
+    0x328e89ae, 0xcefb929e, 0x071f8514, 0xb7d9e4e1, 0xa43be3fe, 0xcea5c005, 0x6f33e375, 0xce95695a,
+    0x5f7e8321, 0xd52cb2db, 0xa4c5b1d8, 0xf46acaba, 0xfbd8907e, 0x1d25d776, 0xf8aa55d2, 0xa5549e79,
+    0x26b0f46b, 0x26854c01, 0x4a4853f5, 0xf7a25c9c, 0xa9ba0b0f, 0x632921e5, 0xa3c33990, 0xfc0da4e4,
+    0xe8076697, 0xd6c524f9, 0xca2ece0f, 0xcc4bbe5b, 0xb17056fc, 0x0c72818d, 0x1fe23d85, 0xe9c87789,
+    0x8aa25f6b, 0xcfa2b911, 0x6cb5c868, 0x7dbc466e, 0x7737b47d, 0xa7b48358, 0xef7b8ab8, 0x7e13d21d,
+    0xe7411ed5, 0xfb4f56d2, 0x7abd6132, 0x087eaed5, 0x32fa1cd9, 0x9a7b83ab, 0xd6f9e297, 0x71c6394d,
+    0x3df73eb8, 0x3d55eddb, 0xb4f26bde, 0x0ab8a7cd, 0x27bd5811, 0x7826c418, 0xd2c9b322, 0xeda7ba3d,
+    0x7143a174, 0xa722789d, 0x3db7a46d, 0x2e0b77b2, 0xc1d1a59b, 0x3dc4c892, 0xc21a1da2, 0x63e92faf,
+    0x473d366f, 0x39ae9cdd, 0x392100d1, 0x2f729a7a, 0xfa36492c, 0xd2e90174, 0x8620b8b0, 0xb5b1d0f5,
+    0x0e6bcd0d, 0x1ccf68ab, 0xfbf5ef2d, 0x39784bc7, 0xff302de3, 0xc91e99f1, 0x57340406, 0xe652efb7,
+    0x1a60c114, 0xb582a407, 0x26e84570, 0x0b3dd3d6, 0xd0921c8a, 0x943869fe, 0xc9a45cf5, 0x6ff45393,
+    0x1581898f, 0xb607af85, 0xba4a80fb, 0x92eb1aba, 0x354586ab, 0x3e8ba0e1, 0xd8b66492, 0x5696a28f,
+    0x2bf12613, 0x41872fa7, 0x73b86ea5, 0xa84912d4, 0x640f73e6, 0x3bc1c76d, 0x7c68a243, 0x1703e740,
+    0x92b75fee, 0x86777338, 0x4a044384, 0x109135f2, 0xc28e3876, 0xc1c5d62d, 0xddff4cfd, 0xcc99f8bb,
+    0x5ee149a8, 0x6c059e43, 0x0ff3b12d, 0xeb434c83, 0x3eeb388a, 0xcf385e8e, 0x0c9fb7c7, 0x76fe2b51,
+    0xe6874c9d, 0xf5078987, 0x1e308fbb, 0x51bcf9fa, 0xa9e22c77, 0x42407922, 0xfe0c00b4, 0x8e680b01,
+    0x33520cff, 0x365c90f0, 0xef629ea5, 0x21ebda0a, 0xc4886be1, 0x652512ba, 0x7ee31100, 0xc5c9908e,
+    0xc1be159a, 0xdb7dd0e2, 0x84c4854b, 0x1e4139be, 0x1f3a19bd, 0x7ea41b4b, 0x4d7791c2, 0xf6b22a0f,
+    0x994a4907, 0x753039a7, 0xa7ec0800, 0x7167023e, 0xc7fda44a, 0xd535ea93, 0x90fcf00c, 0x1e1c9224,
+    0x175d1434, 0x63e0bc23, 0x08c13488, 0xef435d43, 0x2e13a019, 0xe80b39c0, 0xc9fadde7, 0x7e3867bb,
+    0x1d5c516f, 0xbb9122e5, 0xc2cecf2f, 0x778e26c3, 0x4a847b36, 0x9e23465b, 0xe239f0fc, 0x234ed310,
+    0x7424be8e, 0x9e792b75, 0xf2a75087, 0xf9d8f997, 0x0d184e86, 0xeba4679f, 0xf2e92292, 0xeca83def,
+    0xbbbf3140, 0x6f70af04, 0x0037f9a8, 0xcbe59286, 0x9a59a551, 0xe4ce4a23, 0xbcab859d, 0x4247cc3a,
+    0x1988a978, 0x478c6616, 0x7765c391, 0x7473f27a, 0xb9be37fe, 0xb69e705e, 0x125ba9d6, 0xf2e16f47,
+    0x05b504bd, 0x070b0320, 0x96b5865e, 0x818398ab, 0x36fbb290, 0x9c7b6c9b, 0x8ae04489, 0xda67c7e0,
+    0x6e72c1c4, 0x6ad26b14, 0xc226ad98, 0x31d8926e, 0x33521d7d, 0xe3092830, 0xdbc8daac, 0x5921e27e,
+    0x00f42162, 0x66eafd5f, 0x8fcdf155, 0x975e58bd, 0xf80607d0, 0x1043a816, 0x5a56eec2, 0x36e76490,
+    0x7309529c, 0x88dbe79a, 0x15e5c7d1, 0x0d7ea2e2, 0xdf585af7, 0x8420ad39, 0xf1f593b4, 0x4f233538,
+    0x2e07ac6e, 0x69253476, 0x250d02db, 0xac0ecc14, 0x6326f7ca, 0x74bad9bd, 0x66f60b9e, 0x34c9dd8a,
+    0xa420d7f7, 0x7211f62f, 0x78b91280, 0xedfe2163, 0x780fac30, 0x8146e534, 0xb0ee650e, 0xafce589c,
+    0x48255d75, 0x6915b17f, 0x69aaecb3, 0xed069d2e, 0x020032c7, 0x5e76d109, 0x8cd87440, 0xf442b102,
+    0xd698facf, 0xaf6f98d1, 0x34383210, 0xc01b5756, 0x8085ceaf, 0xfb6b2868, 0xded64c56, 0x09e3f5e3,
+    0x00139286, 0x85bfc2b8, 0x8ac2f24e, 0x93838106, 0xe28b4df8, 0x809ef060, 0xc5a03768, 0x8c9869ee,
+    0x1f754e48, 0x9c55a7ec, 0xa6947441, 0x52086edf, 0xfcec1451, 0xde6403fe, 0x5b448ff0, 0xcfd3134c,
+    0x7fe2b402, 0x355702da, 0x36e13974, 0xfe00319c, 0x329cd903, 0x05814538, 0x71bd2428, 0x762c10fa,
+    0xf58861d7, 0x0460b9cf, 0x379c06e3, 0xb3f1ccdd, 0xaf4d50ab, 0x19ba7f14, 0x590cd0a1, 0xa45fa27e,
+    0x46584b77, 0x6718b3b6, 0xf58b2d54, 0x89ab2d74, 0x4e28fe4c, 0x1fa54950, 0x6fe0c672, 0xa15b2501,
+    0xe9334434, 0xc78da9d1, 0x3714afa1, 0xa3131742, 0x65219365, 0xe47b6cd7, 0x7dfc3f79, 0x2dfba646,
+    0xd413c23b, 0x5cdecec0, 0x44cd6d70, 0xddee48d7, 0x5c4dba6d, 0xef6ef71f, 0x0e85cecb, 0x55ae632c,
+    0xfefd8042, 0x8fb6d7de, 0x97bd162a, 0x5c03dbae, 0xe5f07acc, 0xd69d9850, 0xa84a94a5, 0x1c6e563d,
+    0xec90e1c4, 0xfe80fe59, 0x9134f341, 0xae29700e, 0x76d92e62, 0xabc6eb62, 0xbae26761, 0xb100c639,
+    0x7b8b7beb, 0xc5660632, 0xbcddb87f, 0x1c2e5288, 0x583015f5, 0x39f29d9f, 0x47cee09c, 0x492035b5,
+    0xbdbfb88d, 0xbc1ca738, 0xc3e008c0, 0x9320d5af, 0x5002c99a, 0x117c985d, 0xc18ebdb1, 0xae94e852,
+    0x7b61f996, 0xb8e7d1d1, 0xf36d7938, 0x8f48be5e, 0x5bbbf365, 0x12ca51b9, 0xf18d7b06, 0x9eca6200,
+    0x36e2f8d4, 0x1e853a7c, 0xee35b9e2, 0x3d9fb3de, 0xe724a9e0, 0x6b82dbb1, 0x5713a49a, 0x8d91e079,
+    0xeabeb852, 0x3625370a, 0x245ca85b, 0xe51f3c15, 0xd34815c4, 0x5c1ca37d, 0x65a05f73, 0xc18801ef,
+    0xc0afb235, 0xa304d8e5, 0x10b13b4a, 0xd4bf1454, 0xa50571e3, 0xb8a00594, 0x8a19a640, 0xeb1ef19d,
+    0x5f424b10, 0xf0d78fc4, 0x9f3b7fd9, 0xb651cf08, 0xb030794d, 0x7fe53cf0, 0xfbb588bb, 0xafb63874,
+    0x0f9999a6, 0xabc85867, 0x6ec76397, 0x2255631c, 0xb091e9ba, 0x19a80ea8, 0x870acf1e, 0xad97df21,
+    0x6e5a75e6, 0x72a1c0b1, 0x1bf7eff1, 0x861dcba6, 0xf3d1a01e, 0x3333f35b, 0xb0673a86, 0x69874cae,
+    0x8f202bff, 0x7039414a, 0x6d558bc4, 0x001fef69, 0x97dd39b3, 0xc075c66a, 0xf6daf08e, 0x1a3e34ed,
+    0x39a56308, 0x0b534190, 0x17edb4cf, 0x12f32b80, 0x1f01288f, 0xa2343a8d, 0x531e08bf, 0x5f71acff,
+    0x498a268f, 0xe37dbd5c, 0xe2fd6b43, 0x790f7d8d, 0xf9e8a5d6, 0x0251ea66, 0x77b46aea, 0x1a1bea71,
+    0x2ffcedbc, 0x0ada0ef9, 0x412b5e1d, 0xb0cb6a6f, 0x0f60bfae, 0x2cb1c61d, 0x1674acdb, 0x3c557baf,
+    0x791f91fd, 0xfe70f73c, 0xe52f9d48, 0x6a16fdb0, 0xdab26611, 0xdb1e6805, 0xc45af0b0, 0x7537f221,
+    0xf7e222fc, 0x25be2ab1, 0xad0a612d, 0xe063bcd1, 0x45e9a0c7, 0x8d54dfab, 0xc004c1fd, 0xf0b7aae3,
+    0x7487a437, 0x2877d61e, 0x413bf114, 0xf67f70f6, 0xd906d28e, 0x340d55ac, 0x2d830197, 0x9af50072,
+    0xfdc10e4c, 0x6f0e51bd, 0x875d3829, 0x9b116f5d, 0xef49ce8d, 0x4a6fff3a, 0x00939cd4, 0x1ca4a0ca,
+    0x3a9cb04e, 0xdeca9c6f, 0xe7ab2c81, 0x17e0d6cd, 0xa758aa11, 0x4296ef70, 0x037622ab, 0x5ad7626f,
+    0x7a9af22e, 0x6a9d6995, 0xe56c5135, 0x29aed9d7, 0x1edf7dcf, 0xa8cac9b5, 0x04e2d6e2, 0xdb5c11b4,
+    0x3c1a09a0, 0x4a6087cc, 0x97f2e6ab, 0x918bfc79, 0x5f925af1, 0xb6241218, 0x9614b7c4, 0x85ec9762,
+    0xc4001e20, 0xfadbeb73, 0xa5766d78, 0x63da917e, 0x2b94607d, 0x51145525, 0xc05a817e, 0x8ffc523c,
+    0x9a252f35, 0x2533d13f, 0x15b3a7ac, 0xc73383a7, 0x6a8c138c, 0x1a517d1e, 0xf77dc054, 0xa6f64aa7,
+    0xd63323a9, 0xb3a6d67f, 0x95b24efd, 0x798b264b, 0x6f3d30a6, 0xa70c10f3, 0x7e3dc395, 0x008101d8,
+    0x48d56459, 0x848d5f6f, 0x9a9745da, 0xcf8ff003, 0x0839d48c, 0x9e349c5b, 0xdb426d10, 0xf80f3697,
+    0xc1899183, 0x07ce7b16, 0x79a0593d, 0xd680587f, 0x30992387, 0x8b12051d, 0xc4308d53, 0x4cce5d41,
+    0xb29d546f, 0xd2aa74ad, 0x6677974d, 0x39e6cf13, 0x3cbda356, 0x84d24925, 0x074dfc45, 0xc55cd18e,
+    0xb6a2e171, 0x013a4367, 0x168da9be, 0xa2c16f9c, 0x7b2f9e52, 0xc5189ea1, 0xedb24b9c, 0x044a8e05,
+    0x8242d41d, 0xd62d3cfb, 0x6fadde9f, 0x5394794c, 0xc9731296, 0x5e669086, 0xb4bd6aa9, 0x2f19e4e7,
+    0xf0958c76, 0xfd0ffbd9, 0xc76d3557, 0xfbb6bc35, 0x31c70cdf, 0xa6ff788a, 0x7d4a1ef8, 0xfcb339e2,
+    0xd7196ced, 0xfabf3b48, 0x1aa480ad, 0x3e4f93f2, 0xfbc4d59d, 0xc9c50259, 0x49865306, 0xb307bdc7,
+    0x7ede87e8, 0x889ba92e, 0x09842a8b, 0xb110978b, 0xce50212c, 0x997be45a, 0xc50d52de, 0x08c71a02,
+    0xa59f0033, 0xec0812f9, 0x1ee60fa5, 0x30e362ee, 0x44ee2347, 0x31c438d9, 0xd2745039, 0x3ab5c363,
+    0x41e8d475, 0x89aaf4a0, 0xaf9898f3, 0x04085631, 0x45de00d2, 0x587c936b, 0xf34fd4ae, 0xd1ff219f,
+    0xd39f5c71, 0x37a481e7, 0x15bfa058, 0x03eb680a, 0xe4bc5cb6, 0x0dc3fb41, 0x16aba34b, 0xca3b4a14,
+    0x61fb7240, 0x485b847f, 0xfd4d54af, 0x8aeb6a14, 0x379bf435, 0xfeaa43fe, 0x7764c72f, 0x2489e6e3,
+    0xda4f9af3, 0xebd5c523, 0x46540ba1, 0xb5e464c5, 0x5a2425c6, 0xf3b8c3fa, 0xd1e3b0be, 0x113a2cdc,
+    0x24f20d66, 0x660cf421, 0xe6f6bf1d, 0x4894721f, 0x1582b716, 0x4e76281c, 0xf6225a4e, 0xa8105509,
+    0x68cfdcf9, 0xd913867f, 0xc5fe27c0, 0xcaa82a92, 0x27cf7b87, 0xc27d4914, 0x690e6eb9, 0xbc42bf4f,
+    0xf1ef5272, 0xa6ac31f1, 0x72d63e64, 0x21701112, 0xdaf5c340, 0xc3e04928, 0xc5bba602, 0xd4168e8e,
+    0xec9e9959, 0xb78d2cdb, 0x9da7c4c1, 0x193688af, 0xed8ba462, 0xb3eda44a, 0x917d4370, 0x496316e5,
+    0x6fbc1744, 0xd1ff10b6, 0xc2c6b845, 0x4578993a, 0xa2de8b12, 0x4c0314ad, 0x7ca0be11, 0x3150ffdf,
+    0x98bac204, 0x6dc6718b, 0x55739a52, 0x3b338131, 0x0061af4d, 0x6dfa8443, 0x313f9880, 0x0db01915,
+    0x26e69e19, 0x24e18cb6, 0x9fe340cb, 0xabbf6e8d, 0xd39650c2, 0xbf7c8f34, 0x2da52137, 0x5cc23b99,
+    0xd45b8e91, 0x58e7ffa7, 0x61753243, 0xca507af9, 0x0615cd43, 0x81dbd29b, 0xa4f68af0, 0x51e0b2b3,
+    0xc231f0d2, 0x8935f2fe, 0x203427fc, 0x5d25b39c, 0x68d95710, 0x09f390d6, 0xed1a6b61, 0xde448ea5,
+    0x0e425348, 0x10fba9c5, 0x01ffc5fc, 0x85bd80e6, 0x0162bfcc, 0xa27c42ff, 0x259bf7b1, 0xcd5e211a,
+    0x54eb1f51, 0xf78255e6, 0xe46f8450, 0xeca916e7, 0xef55d91f, 0xeb5100d2, 0x85ee824b, 0xfdf56918,
+    0x4ccab531, 0x65c4db58, 0x6ce805ed, 0xc0306798, 0xa3bc68fc, 0x1754e79d, 0x3325193a, 0xb2263d70,
+    0x9a5886be, 0x2b78d4d9, 0x155f5ded, 0x5799a4d1, 0x21fc2898, 0x566f2c2a, 0xfb4f554b, 0xcafdf9df,
+    0x2e4de4e2, 0x8fa69f36, 0x07b5223b, 0x1b457da2, 0x8cdadb94, 0x96b9fd1a, 0x10c08a02, 0x3d7a3f1e,
+    0x564be63d, 0x73d54701, 0xdcf53469, 0xfb632d37, 0x374c65c2, 0xd75a2d7b, 0x55f688f1, 0xa620f4e4,
+    0xa89a9be2, 0x9d320b32, 0xfcab0085, 0x6cf3951d, 0xd34c8104, 0x6d5bd4d7, 0x704475b9, 0x3841c6d8,
+    0x999b49fa, 0x0a813b3b, 0x6dec5e1d, 0xb4789ff1, 0xd15d0e2a, 0x58976700, 0x78eb62ca, 0x15815b23,
+    0xfcd703a6, 0xfcff565a, 0x4bd9c653, 0x33b482f5, 0x9e7da3bd, 0xc3bfdc8c, 0x3ad01c91, 0xdad1fdc0,
+    0x1e9b572e, 0x709f8200, 0xd2c67708, 0xba12003a, 0xdea1bdda, 0xd2c1e143, 0x47e6374e, 0x45ac258f,
+    0x5e4739e4, 0x27bd7345, 0x0594ca78, 0x44b2f5c3, 0xe36d01b7, 0x1d0c76f8, 0xb7c2d03e, 0xd3f6e16a,
+    0x73dbc8cf, 0x690d4884, 0x3c031bec, 0xf17f065a, 0xc5e02ede, 0x490391b5, 0x07b85b73, 0xbab0c892,
+    0xb620f357, 0x57cdf831, 0xe9c1c32c, 0xe876cf0e, 0x53c83e1f, 0x2f5265b0, 0xba8ad68f, 0x924c30a5,
+    0x34153002, 0x8d1e04dd, 0xe2df55c4, 0x93b60376, 0xcaeba88a, 0xa5690428, 0x6f8b763c, 0x5cbf8bb7,
+    0x77f35ff9, 0xd4cfac28, 0x32ebf55f, 0xcf49bb5b, 0x5c1b12dc, 0xeae269c2, 0x0bd0cd7d, 0xd8be7797,
+    0xf6d077f1, 0x32df758c, 0x6f931ff2, 0xeabc003f, 0x9e37e954, 0xe14f678c, 0x2483fc7a, 0x5ec06f72,
+    0xd1ad471d, 0xad4d64d3, 0x61b14b77, 0xb00d47bb, 0xb175daa5, 0x6d69e64f, 0x93f17c09, 0x6959e05d,
+    0xe8651bf6, 0xf3265bd3, 0x5d3cf863, 0x44a9ae06, 0xf12099b7, 0xc97c06dc, 0x083e426d, 0xafc79255,
+    0x21d5a7ba, 0x254afcad, 0xf6672d3c, 0x7dea417f, 0x57c89c4c, 0x6e1ab404, 0x61478287, 0xead961f1,
+    0x845c3bc4, 0xba4e99dc, 0x296469e2, 0x15555523, 0xa466c3dd, 0xb73ef1a3, 0xc55dafb5, 0xde6bc607,
+    0xff099047, 0xf15f08e2, 0xf7253c6a, 0x6c9785f3, 0xeb69c759, 0x358b8302, 0x24e51c74, 0x2da9d138,
+    0x8c37634b, 0x9928ba97, 0x3108f071, 0x10d732b2, 0x266065fd, 0xd5583e6f, 0xe53dcdaa, 0x28687e0b,
+    0x570878d9, 0x08ec1fec, 0x1eb61e79, 0x69a94c0a, 0x33bae6bc, 0xf3c30491, 0x0c4fa375, 0x0bb04cb6,
+    0xd46ef422, 0xe1d2ec65, 0x48f9b57c, 0x15ff187f, 0x8845f9f2, 0x22e3c0ed, 0x00613129, 0xb46bded5,
+    0x61470865, 0x3cc8f316, 0xa213eb3e, 0x53fd969a, 0xf8095740, 0x4f5c92f4, 0x80884ce3, 0x1081e0f6,
+    0x95acc2ef, 0x28f2c1ab, 0x8034f068, 0x7c65a689, 0x2fd3569d, 0xd770db0b, 0x409f4a87, 0x047cbd86,
+    0x1b92ebd5, 0xb0f3fe5d, 0xe5394bbf, 0x34e8a9c9, 0x15f4c524, 0x598e08cf, 0xaa3a5343, 0x821db251,
+    0xacde1ffc, 0x04d263ee, 0x71c9a3d1, 0x5f64f356, 0xbe8c57b4, 0xd0531629, 0x04530cfe, 0x2f0e3b64,
+    0xd06749a1, 0xf191dbe5, 0xaeb2b135, 0xbca2e43e, 0x76a78654, 0xca8db13a, 0x0a3a3807, 0x19c2c8f8,
+    0x4f72b481, 0xd80cd177, 0x871decbb, 0x3ebd8efb, 0xf1bab6ab, 0x28751d4c, 0xf0b25de3, 0x3278592e,
+    0x60a380fe, 0xe3fb8845, 0xd609fa73, 0x957def48, 0xd48f1ac6, 0x76d5ac72, 0xa541d3eb, 0x8805f128,
+    0x00000000,
+    0xb2020b9d, 0xb53a46da, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0001766847064778384329583297500742918515827483896875618958121606201292619776 */
+  { 0x00000000,
+    0x3ce4b0f7, 0xbdd8548a, 0x6779023e, 0x686e7fa0, 0xa6754449, 0x72e483d7, 0xf935fb64, 0x3c6e6f29,
+    0x57f299e8, 0x37216541, 0x9707d136, 0xb067e35d, 0x27fa8940, 0x24dd6279, 0x6cd50f69, 0x98dc3316,
+    0x42af7cbf, 0xb6ca1fc4, 0xd2aa966b, 0xdb132cc7, 0x8e21b23c, 0x019bd4aa, 0xd2feed2a, 0x15591246,
+    0x32c871b4, 0xb97ef075, 0xdc6418b9, 0x28cec5ee, 0x5a4e0cc2, 0x13e9a3a3, 0x6e3bd916, 0x8290734a,
+    0x3082256e, 0x3b428a80, 0x42dcb162, 0x0763a031, 0xbd9d4054, 0x9cc48696, 0xa4fb74e5, 0x8d69483a,
+    0x4144d87e, 0xbb4acac4, 0xb8f0e6eb, 0x1367aa60, 0xe093a70c, 0x188fcfaa, 0xb678c517, 0x0cfaf393,
+    0x95cbaf26, 0xb3ff31b2, 0x0c5c1302, 0x2ba1e3a4, 0xe634e615, 0xf4ba390f, 0xba81828b, 0x647e1e33,
+    0x4cc4e2d1, 0x84c8e12d, 0x7b9a05e5, 0xcb3429e3, 0x1fe89bd3, 0xba341c83, 0x8f2c6ea1, 0x4a804a70,
+    0x6bd93bfa, 0x62a0c3bc, 0xef92c11b, 0x3746ff50, 0x679f0b8d, 0x2fc3d924, 0x1f5c221c, 0x513af3a3,
+    0x8cc4d1a0, 0x5be3d65d, 0x8988f609, 0x8ed3873c, 0xe7eafe04, 0xe7c23540, 0xd6a90fa5, 0x63ec61c2,
+    0xa5cefe17, 0xf4479562, 0x05062632, 0x2673586b, 0x32041009, 0xd2197f3c, 0x1714b2dd, 0x375e53ae,
+    0x122487e1, 0x92d31bf4, 0xe8fb5a9a, 0xd924a4b6, 0xb0136cee, 0xd5cd70e5, 0x4568f336, 0x40086229,
+    0x169125da, 0xb3e7f0b6, 0x938a12c0, 0xa5d89464, 0x9e1b42ef, 0x7b06d420, 0xadd4d0a0, 0x56e5256d,
+    0xf1f831d1, 0x2dd414c1, 0xdab217b1, 0x4ed56972, 0xe7b3b55a, 0x747f7cfd, 0xf592c64a, 0x2dd08d2d,
+    0x95436004, 0xbaec945c, 0xebf44361, 0x58fd9a5c, 0x230b3813, 0xa040d4d1, 0x58fa1e76, 0xc0ed718e,
+    0x434afcef, 0xe392ecd7, 0xa6363aed, 0xf757c8a5, 0x783e2322, 0x72354837, 0x3a9dc956, 0x9e351dfe,
+    0xcf9d16de, 0x4ac98451, 0x32a31753, 0xb51e861f, 0xea06ca6a, 0x2a5a769a, 0x9e190349, 0x0bb92256,
+    0x9bfcba33, 0x349dc538, 0x95e170d9, 0xf5922f56, 0x9a2b03d0, 0xd7fa854c, 0x7d6e4cd4, 0xdbc9dc02,
+    0xaa83332c, 0x639c0b27, 0x202cfd34, 0xb3c3c26b, 0xf2749381, 0x722858a9, 0x7b557dbc, 0x9fb2ddce,
+    0x32bc22ea, 0x5d09572e, 0x37f0f3c7, 0x90d69992, 0xfea07c0b, 0x469e1f9d, 0xbf63a419, 0x3a0fab61,
+    0xb3dab757, 0xab40e787, 0xa9311a25, 0xe7f8556d, 0x0ac1d503, 0x0a3e62d8, 0x2e0f330a, 0x78577ce4,
+    0x3e4327df, 0x72903c3f, 0xa872f85a, 0x857eb229, 0x02413879, 0xe47b9de8, 0xaa378322, 0x9240741f,
+    0x9236ae32, 0x788fb392, 0x25999549, 0xdd0bd054, 0x1d9768f7, 0x38595aef, 0x426f6086, 0x6d039e6d,
+    0x4ae7f67c, 0x9e629306, 0xa7d76790, 0xbdcf79f1, 0xeb583130, 0x69f15436, 0xa986eaf3, 0x1eb5af60,
+    0xb9631e0c, 0xb7449caf, 0xb43bd375, 0x029bf4d1, 0xc6120e84, 0xa15fabef, 0x75588d45, 0x6fadea53,
+    0x335a02e0, 0xec113eec, 0xf12273c8, 0x7fae71e6, 0xccc6e4f3, 0x4ae04c25, 0x3c47629d, 0x1186cea6,
+    0xb47b80e0, 0xdebc5bd2, 0x3af6aed4, 0xd8775784, 0x65e6178b, 0x3f15d88b, 0x2075d3ee, 0x7f8d81c8,
+    0xde697f76, 0x73d5f787, 0x09499a3f, 0x13cb4d31, 0x2dc80619, 0x27aa94dd, 0x05633be3, 0x126a0251,
+    0x8f9b604c, 0x8edc70f9, 0x590be799, 0x6b785df5, 0x9931bfc3, 0x3ef55a9e, 0xe1a13ceb, 0xd75e0189,
+    0xd7c1839c, 0x72a8e8ca, 0x5488089e, 0x415c1b03, 0xf85763c7, 0x01ede21d, 0x582d1f97, 0x45dc9b5e,
+    0x73571c32, 0xea5c63ea, 0x80fc54db, 0x39547955, 0x999b5c10, 0x89e957f4, 0xd5ddb8dc, 0x9912d790,
+    0x9d8c8edc, 0x7be09158, 0x9e5ede43, 0xc40d731b, 0xa9732af3, 0xab4ded85, 0x9ba992a3, 0x1706a822,
+    0x09202f9d, 0x3c4d2ba5, 0x97a7f23f, 0x296d8de6, 0xcdd7c491, 0x0def25d3, 0xaca89e5c, 0x495b7ca3,
+    0xd0d78bf3, 0x235f31a1, 0x9458e6f0, 0xb3e24dcc, 0x8f6d4575, 0x25c86277, 0x1b5efe1d, 0x8f467ad7,
+    0x90ad8399, 0x094fdc98, 0xfe7476ff, 0x9675cc83, 0xf4e9e098, 0x767567ce, 0x6dc4a3af, 0x92ef1f55,
+    0x481a6d7e, 0x8dcc7ffe, 0x47aad4ed, 0xd1a76f7d, 0x771111a5, 0x5f39b1d4, 0xe92eaf31, 0xa32aa3a8,
+    0x37b48136, 0xca53800f, 0x96abe011, 0x51f73e8b, 0x575b9ace, 0x92a937b6, 0xe92e7823, 0x09fb9bbe,
+    0x14da3c0e, 0xb47fc16c, 0x4ab1d2fd, 0xc07dcf25, 0xdb1df624, 0x1b3f3a7b, 0xb8315dc6, 0x395d3e2c,
+    0xdf0381f7, 0xa9fbc588, 0x2dfdcd9a, 0xc671afde, 0x19015d80, 0x15e71c05, 0x333551ab, 0xce152127,
+    0x6b840245, 0x6cf529bf, 0x8fcf51a9, 0xcf3f46aa, 0x6965c6a5, 0x195e68b3, 0x39948026, 0x5220f2da,
+    0xb3f35efd, 0x630d5204, 0x37b66bcc, 0xd1937f7a, 0x14d88c19, 0x6004458a, 0x0a3f40ee, 0x39455088,
+    0x2c1fa7ce, 0x5952b31d, 0x0ff3f611, 0x5b74ba01, 0xfe5bd769, 0x1456119f, 0x3ee5ee6c, 0x9548419a,
+    0x858e6c4f, 0x041472cb, 0x80cdc39c, 0x315ecc4f, 0xc0eae68c, 0xfa78eadc, 0x11db0bfb, 0x7f098755,
+    0xde2d40a4, 0x4d11ba38, 0x289cae34, 0xb827a7d8, 0xe15a9fd9, 0xa87bec73, 0xf407e8c1, 0x9f89b18a,
+    0xe4097ccc, 0xb5a33701, 0xbd8ff77f, 0x533edb1e, 0x773ab2a6, 0x0fa5c700, 0x942fd712, 0xe4f37dee,
+    0x889f0719, 0x324044e8, 0xa4681a0b, 0x9bbd0f50, 0x5a4463e4, 0x74582735, 0x4263fc1e, 0xd0e489fb,
+    0x289bdd9c, 0xb2e37b1e, 0xc29d9e87, 0xbfac6c3a, 0xa982ea9b, 0x861433f4, 0x3139ffbf, 0xf004e3e0,
+    0xc953f750, 0x750893e1, 0x2baf119c, 0x81b32fed, 0xd69b1e54, 0x6359c380, 0x82822aec, 0x4561feb1,
+    0x1777c8bd, 0xc5469a01, 0x1157090f, 0xe70a7ac8, 0x53aafd6f, 0xd94aaa84, 0x24c24408, 0x3d8aa759,
+    0xf17f146b, 0xd5152974, 0xadd4bec1, 0xe85f8ec2, 0xfe35e00f, 0x26c21e3e, 0x5f4f5cdd, 0x00d97c8d,
+    0xfe46e4de, 0xa3c2ef05, 0x991c9bb2, 0xd3f290db, 0x6bd6045a, 0x0152c69b, 0x45dd5ab1, 0x30c3da1a,
+    0x332da88d, 0x1b182e17, 0xf0d42679, 0x539d8d73, 0xede68e63, 0x9918ec2f, 0x84db666e, 0xaed20a9d,
+    0xf2267319, 0x332e8572, 0xb7e30019, 0x4c21867d, 0x703e7c2b, 0x27eb91bf, 0xb18d2b00, 0xea3e3886,
+    0x41788404, 0xc978d47a, 0xe7a27ea3, 0xd05e75c6, 0xa2c97a23, 0xae942cd1, 0x323dd726, 0x118ba7c9,
+    0x85518fc7, 0x3684fe91, 0x88a7ecb4, 0x7034988a, 0x7dcb05a3, 0x70805849, 0x8109a3c6, 0x417395e5,
+    0x352a2bf8, 0x5cb7ab35, 0xbfbf7a32, 0xe097929c, 0x146ccf81, 0xa9313923, 0xf32285ba, 0xd7d50d7a,
+    0x8cda5fcd, 0xec8b7b92, 0x6dbd6334, 0x7d40734a, 0x4fa3d36d, 0x52a12310, 0xd7037529, 0x520100d0,
+    0x9242c222, 0x1b056165, 0x89aed10b, 0x6f5ed50a, 0xeed2d493, 0x306097aa, 0x27fa6d99, 0xe03a1507,
+    0x577f3f6c, 0x3c860ead, 0x091be58c, 0x7684346b, 0x781fa05f, 0x8d6c027e, 0x37928b60, 0x24666b34,
+    0x93b2e298, 0x9056f230, 0x9298a16f, 0x7c82c6ff, 0x8bba08f5, 0xf2396687, 0x4264cbb1, 0xa850fb25,
+    0xd57be98b, 0x709e42b7, 0xf5220563, 0x51d8544f, 0xed7f108b, 0x0f7aa7d2, 0xeddb8182, 0xdd619e74,
+    0x09f41af9, 0x4bced7c5, 0xea9042ee, 0xf5d7500d, 0xf9b0d16d, 0x800f7d89, 0x89a0cf14, 0xc21c4439,
+    0x1108c12d, 0x36e78c92, 0x3815ab8c, 0x18653eef, 0x07d2bd41, 0x08b84ea1, 0xb428434d, 0x17b0d282,
+    0xc5829f97, 0x5d0cbc8e, 0xa77b4963, 0x13cdb417, 0xe4beb05c, 0x503a78dd, 0xd0f21eff, 0xd6a5f337,
+    0xe39ee4ec, 0x8a8eab0a, 0xc6a6d78f, 0x5d98ddec, 0x20648b34, 0xd14e89c4, 0xbf7e3b38, 0x4d7a5fac,
+    0xc6e728cb, 0x6ce43df0, 0xe830afd4, 0xa2172950, 0x5b9d4f9a, 0x10cdf14a, 0x35cd3990, 0x8ac0ddbd,
+    0x431bcef3, 0x1d62a099, 0x9a0b4b6d, 0x28a76791, 0xfe2a923f, 0xfec23c4d, 0xaf4056cf, 0xf887554b,
+    0x44136ff1, 0x735fbcbb, 0x28eb25fb, 0x04d0c807, 0x6833f70a, 0x44dfc0f7, 0xd337d319, 0x70ac8d71,
+    0xf90d4b81, 0x20deed28, 0xbd6c961e, 0x0bf78524, 0x9fbe19eb, 0xea783a06, 0x7c9df656, 0xb7d0bc17,
+    0x0128b76a, 0xc45e8776, 0x56f8bf88, 0x80931a08, 0x4c3700bc, 0xe2fa6776, 0x45dc17ea, 0x0a1cd9b0,
+    0x9722e6d4, 0x6226091f, 0x47a3a56c, 0xe89ae511, 0x373992ce, 0x17a4e9ef, 0xf24267a0, 0x14d9f5b6,
+    0xeb127e2f, 0x03577d86, 0x0e58b0ca, 0xdf813185, 0x68db09f1, 0x992a0281, 0xbc83513d, 0xf2ec596f,
+    0xed95dcec, 0x854ea202, 0x7070b0dd, 0x08888f72, 0xc7352926, 0x959e99b3, 0x83e9cdc7, 0xa0a6b02e,
+    0xac612060, 0xb13d263c, 0xa6c1c450, 0x205bbe1a, 0xc7d5c881, 0x258a65c6, 0x8c910691, 0x096d474e,
+    0x08bd0bf8, 0x500410e0, 0x324c3f4a, 0xaff10862, 0xc4b1269c, 0xb46db830, 0x93f7b26d, 0xad896faa,
+    0xf3fab463, 0x93608a38, 0xfd379cfe, 0x6fdbfe91, 0x33e22d4b, 0xdbc6646e, 0x71eb0472, 0x8d675761,
+    0x24273af8, 0x81e800c8, 0x3932b4fa, 0x6b2fc64c, 0x55159136, 0x3070b6be, 0x5d3df89f, 0xa0669d2f,
+    0x43c8374d, 0x75beb493, 0x5c0de7ea, 0xee6061e9, 0x08b9897e, 0x71487568, 0xf73d3046, 0x5618e13b,
+    0xde41c262, 0xa5791e30, 0xf49d0db4, 0xed9d047a, 0x043718ff, 0x08ea68e5, 0xb5c4b940, 0xe066b2ef,
+    0xe401b636, 0x826290ee, 0x75c32ffe, 0x0a05d03f, 0xe6f8c8f9, 0x21bd8065, 0x2a6314a4, 0xd350eca3,
+    0x81dafd52, 0xafe9c157, 0xf347c449, 0x1e5ab25d, 0x48a794af, 0x55a54fa3, 0x78552f1f, 0x81fd147c,
+    0x017f9df8, 0x73a4de4c, 0xc7b304a7, 0x84f81b6e, 0xfb0d07c1, 0xfeb6ba83, 0x4b585c6d, 0xdc042a81,
+    0xf3a100ae, 0xd0ed6f1c, 0x007f3b2c, 0x6bdf5e1e, 0xf4f3cf86, 0x0c5a113c, 0x4ed43b2d, 0x4b6c409f,
+    0x26fb6d5e, 0xfbbfcdbc, 0x4a1d8814, 0x7fbddcf7, 0x53f4a544, 0xe1176948, 0x0449f861, 0x42be771a,
+    0x1d228582, 0xb34c8cff, 0x6a8a1180, 0x2366028d, 0xb2d6e074, 0xb70c1da5, 0x457d733f, 0x237d155a,
+    0xd66c9edb, 0x5a2130ee, 0x402144d0, 0x740e08ec, 0x2f44a2c1, 0x61452bdd, 0xa29935cd, 0xdea76e96,
+    0xd1d71d47, 0xad9a567d, 0xe178db07, 0xd5b20347, 0x9449472d, 0xe1266301, 0x47218703, 0xb304e2bf,
+    0xfa80a633, 0xb9978a87, 0x980294d8, 0x94f95cb4, 0x19734d2d, 0xd810f6e7, 0xc06dd5f9, 0xab5a3df4,
+    0xd326a38c, 0x1ba502dc, 0x3f99baaf, 0x2aa3d139, 0x52627994, 0xef554dda, 0xa390591d, 0xb8333917,
+    0x6b931a35, 0x6d8b8bd2, 0xb3950ad5, 0x3d024113, 0xbf1d2c56, 0x11eff5c1, 0x6bd05661, 0x79986a14,
+    0x91688a8f, 0x01f058d3, 0xc3607351, 0x44ee68ca, 0x63e707ee, 0x951a3887, 0xfa634c4d, 0x1289721f,
+    0xbcdc900e, 0xdd1dd033, 0x2a491e5f, 0x9888bab3, 0xfb6316b9, 0xbe840a4f, 0xd0e20f8b, 0x69a4fd36,
+    0x4a3f6ecd, 0xf8fcdd46, 0x84f441bc, 0xf49d2f87, 0xfbc3cd9d, 0xe089731e, 0xebaae112, 0xac3c4782,
+    0xd7592483, 0x7846df62, 0x785d651d, 0x7660c4a4, 0x6f5bb434, 0xc3f2de46, 0xdf0b5f46, 0x0e78cc6a,
+    0x31d587c7, 0xe74f1944, 0xc20bf25a, 0x2bdc0fd7, 0xa818a53e, 0x5d55aa9b, 0x6f8c11f5, 0xfd550442,
+    0x66000abf, 0xa757294a, 0xc5347a70, 0x8880d9f0, 0xa8eb00cc, 0x17c005f3, 0x01c44aee, 0xe988e9ec,
+    0x1fecd59a, 0x732492d0, 0xa245cc4b, 0x97e7f484, 0xbc9710ce, 0x54c0c3d7, 0x8462263d, 0xf1a52d5d,
+    0x8c9bbeed, 0xd464ac65, 0xeca3c0af, 0xbea4912c, 0x24458ba6, 0x43f68079, 0x5f8e69dc, 0xcdd1783e,
+    0xd35652ac, 0x26e76a33, 0xbfee47ef, 0x6081c514, 0x8bd71153, 0xed8a76c1, 0x5f500644, 0x0e6151c9,
+    0x58058ac0, 0x14570ae5, 0xff7b24d1, 0xc165e2fb, 0x3a392f40, 0xe06dbd94, 0xae7731a1, 0x8c48e6e7,
+    0x12cff78f, 0x042eff9c, 0xc70a8eee, 0x26ad1d82, 0xc2f1c72b, 0x07bd35cb, 0x5f36af7e, 0xc1571547,
+    0x12f0b59b, 0x570bd698, 0xddde7b38, 0x49d6dc4e, 0x90a36f7b, 0x40be614d, 0xfc8066c0, 0x8d99970e,
+    0x0b81c46c, 0x45486116, 0x483d8edf, 0x7626ea55, 0x6d5c2b06, 0xcf1dd83d, 0x13936a0c, 0x79ae2da3,
+    0x5f1a0be3, 0x7bd38c57, 0x0a175fd2, 0xde5887ba, 0xc54c7cc9, 0xae9b735c, 0xe639787f, 0xdaee6fc0,
+    0xcf834a72, 0xb0ffe580, 0x7b05092c, 0x0bed7a7d, 0xaea1fb59, 0xc01fdf26, 0xb376a1b5, 0x57938e81,
+    0x50a0f61a, 0x90c516db, 0x81150d1a, 0xcb8c84ca, 0x00f59390, 0xd3095f7f, 0x705c42a8, 0x868a55d1,
+    0x761cc32c, 0xb4044c91, 0x30b5dd71, 0x6f152181, 0xf1378dda, 0xca927b17, 0xa42e7ef2, 0x8fa8bd73,
+    0x1042d29c, 0xb6e54eec, 0x1ede8bca, 0xcd18c9df, 0xf8f288eb, 0x436ea9d8, 0x9b993179, 0xc638111e,
+    0x436cc5ed, 0x3685f662, 0xcfb13f8c, 0xf46a2719, 0xc962be00, 0xd2832c4b, 0x397b5acb, 0xfc971945,
+    0xd0feaabf, 0xd6ec76ef, 0x5e6c59c9, 0x6b0b33fd, 0x5ace00a9, 0x3cd69280, 0x25f6a234, 0xf614a57c,
+    0x6cce8b77, 0x26e613d5, 0x9c52a9a1, 0x2ae82007, 0xe7228591, 0x0d67dedc, 0x08841fd8, 0x570ae90f,
+    0x889fb033, 0x63fd6187, 0x48e6bb19, 0x68d40984, 0xc4d9163c, 0xbbc668fa, 0xf1a1240e, 0x798d6f41,
+    0x06429ec8, 0xbc33dfae, 0x680411e9, 0xef3e2717, 0xa8302bb5, 0xba04d3cc, 0xddcbdcc4, 0x5acb1c61,
+    0x42cd6833, 0x320a7801, 0x781f4b34, 0x50efd5c3, 0xe1cced69, 0x52d8b7fa, 0x6d11b334, 0x2017e7ca,
+    0xebed7517, 0x8e5b5f22, 0x6ffe9e88, 0x7ebbccb2, 0x5b58bad3, 0x6933e6d5, 0xc2414a8d, 0xfc898520,
+    0x9cda6ef4, 0x2cb4ca12, 0x2a5632d2, 0x611e7680, 0xa27b8826, 0xc7492c29, 0x3a551556, 0xb9353fd2,
+    0xafcc9a0d, 0x13c66576, 0x0d126d3b, 0xfeb4583f, 0x26738a40, 0x0ba12e05, 0x7b523e99, 0x4a725321,
+    0xbb947325, 0xd1b79816, 0x4f811b54, 0x46700db8, 0x8f27e701, 0xc62a48d2, 0xcd5f93c3, 0x7d672ead,
+    0x0badc12c, 0x88a2da91, 0x57c6b2c2, 0xa864fe96, 0x78575859, 0x1dfde5c4, 0x784a5ee7, 0x35c69c2b,
+    0x0026f954, 0xdb9c877f, 0x7b8cb9d3, 0xffd85218, 0xc9b61d6a, 0xbd32bcf0, 0xd1d7a4d9, 0xefdd59d5,
+    0x730d66e6, 0x3551a534, 0xd87f157e, 0x2456d47b, 0x478848a3, 0x818752e8, 0x1864264e, 0x1a995651,
+    0x25b7ac5a, 0x9889f7fc, 0x0b9def28, 0x688d359f, 0x1c4c8b2c, 0xe2581e3c, 0x15431460, 0x51d4dc0d,
+    0x690c1f77, 0x46eb7f7b, 0xff9e3b49, 0x4c5b6565, 0x73d7f2f9, 0x3c4f85d4, 0x4e38b4eb, 0x66132ec8,
+    0x7321385b, 0x111ea3e8, 0x153f8017, 0x6f9ef337, 0xe7bfac74, 0xae69f53e, 0xb3c8beda, 0xb048623d,
+    0xa9477022, 0xd1b99a2a, 0xf299ec7a, 0x6d1410a1, 0x5969ede2, 0xe71eb73b, 0xfb525da2, 0x1bfed644,
+    0x21a0f6ee, 0xb420baff, 0xb1660e45, 0xb7bc23af, 0x5a14a470, 0x720416e4, 0x41fdc6fb, 0x83f35d0c,
+    0x00000000,
+    0x590105ce, 0x5a9d236d, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000883423532389192164791648750371459257913741948437809479060803100646309888 */
+  { 0x00000000,
+    0x3f8b8f7b, 0x33adaf38, 0x4f09a698, 0x0cb4a539, 0x7d04607d, 0x9bd1ec6b, 0x0a914ebf, 0x42b44001,
+    0x975e26ea, 0xa50aebba, 0x43919dfa, 0x88a39185, 0x6442982e, 0xa9b2213b, 0x038585d5, 0x22c3099a,
+    0xec38c3fe, 0xaf95c0f7, 0xe319f7d4, 0xb470ca11, 0xf46d8291, 0x42d14c42, 0x33e064b0, 0xa500ddfb,
+    0xb2b1559d, 0x65c6f65b, 0xf62c233d, 0x4b6d32fa, 0x379d493d, 0xa38fbe9f, 0xad20e0c8, 0x103d4eb9,
+    0x9e9b61fc, 0x9d7dfa49, 0x1efc4304, 0x03a0e32c, 0x3b742f2a, 0x683e796c, 0xd2d47841, 0x9c8cffbd,
+    0x29e36851, 0x2b9830e9, 0x557aea20, 0xea7ce6d5, 0x282be274, 0x90987707, 0x4aabca8f, 0xdf8e50fb,
+    0xa2785961, 0x9d222248, 0x0f96028b, 0x3ceac25a, 0xe2f82ccb, 0xa5a330f8, 0x200790ca, 0x1d490489,
+    0x246df5de, 0xedab37da, 0xc1ad27ec, 0x68af68c7, 0x67daf7db, 0x85262283, 0xd33f85fe, 0x80fb1253,
+    0xb0eb603e, 0x781a21ff, 0xb73a46c1, 0x0ea2e33e, 0xa05f4429, 0xe6f6a6bc, 0x5ed38e3b, 0x206f58e7,
+    0x57dd3fcc, 0x71d41cfd, 0x820e7fb8, 0x3ec5b87f, 0x645ad3d2, 0xf47be306, 0x8a905a01, 0xc65c6f20,
+    0x26ef3200, 0x6fba8ef0, 0x85a54fba, 0x0e9c3f1d, 0x0a33c1bb, 0x86589b48, 0x27d40975, 0x8603af77,
+    0x077826d2, 0x576482c4, 0xae651609, 0x66f0db0e, 0x7cbbb02e, 0x3b110801, 0x55ef6143, 0x6afa3c59,
+    0xfa1954c0, 0x62258cd6, 0x30b4aab6, 0x71474a4b, 0xa9f17da4, 0x85874e7b, 0x0e7be8d4, 0x0a4a5ddf,
+    0x930d68c2, 0x4b623bb9, 0xc9fdadd4, 0x71a6e72b, 0x8c9be3ea, 0x1f0a0c3f, 0x49a78a4f, 0xa395617a,
+    0x618a32e1, 0xf11f8446, 0x550fa7ce, 0xf0b64e5a, 0xe04f6dd0, 0x2b155a36, 0xf88c1418, 0x1e2540b4,
+    0xba7f5766, 0xe6cb3d39, 0x8cf08e3f, 0x51914244, 0xaf13219e, 0xe39b110a, 0x36553850, 0xfb9aeb04,
+    0x23e996ce, 0x6bde89c0, 0xd4a38a3b, 0x9a9ebb9c, 0x92c49d59, 0x47f437a8, 0x191c3ae6, 0x856bb229,
+    0x90444791, 0xee1fe29c, 0xb7bdadd1, 0x85178976, 0xcf5d7ba9, 0xf16f3fe0, 0x6a8a0995, 0x7e5ac7b4,
+    0x1e833c68, 0x81c940c8, 0x54720579, 0xbb5d4160, 0x1b78a3dc, 0xb833f1d4, 0xc49c6c2f, 0x932ec3e2,
+    0x7a51ce71, 0xd4bfe612, 0x6ca69a6b, 0x33601a24, 0x76a55dcf, 0xa3847818, 0xa46ab8df, 0x9cca4591,
+    0x82931654, 0x27664789, 0x0ff35fa3, 0xb8abc368, 0x029ba833, 0x28d50d45, 0xe1d19525, 0x63f067db,
+    0x107148c7, 0x20d01dbe, 0xdfecb755, 0x62ac989a, 0xc7cfad01, 0xc65b8c9b, 0x46e827c6, 0x4d7b46e6,
+    0xb97cf8fd, 0x7fccce7c, 0xadc03817, 0x44d54071, 0x55252aaa, 0xf4967f4d, 0x66fa6d73, 0xf0f6c314,
+    0x97097a59, 0x80cc3b70, 0x0641bda3, 0x95006e3c, 0xfd77c680, 0x40b20534, 0xde8c186d, 0x22da5f9d,
+    0x626c94b8, 0x41f5e1d6, 0xdadf163e, 0x31424c1d, 0x91a75fd2, 0x321f3b4a, 0x826b8fb6, 0x14cf1da2,
+    0x29ab82a0, 0xb760622c, 0x80ccc8b6, 0x9e0054a5, 0xe6a69418, 0x76c8e361, 0x1b9c3f1f, 0x6a526cc4,
+    0xac932728, 0x8fb6226f, 0xd54c5eb3, 0xbcacee94, 0x786a3009, 0x143675df, 0xb7a9813e, 0x6308c993,
+    0x77bb86f1, 0x690d9f49, 0xae2ead66, 0x27f302f5, 0x6e56c00c, 0x11f798cc, 0xffbf0b18, 0xa18f4421,
+    0x265234cd, 0x4fd9f80e, 0x8eb91a0a, 0xe7cf0179, 0xb8b938bd, 0x144e230e, 0xed7d327f, 0xaf268330,
+    0xd4021e65, 0x7aea8680, 0x3a99ddbf, 0x693c7591, 0x82ecf1eb, 0x2f631030, 0x52addd57, 0xee37f520,
+    0x7575a983, 0xe601c75f, 0x07cf7f0e, 0xe94967a2, 0x29b1236d, 0x2d5b80dc, 0x14ad94bc, 0x6ecfc065,
+    0x97094e55, 0x5bf2e364, 0x6f860992, 0x2b6429b6, 0xee521f22, 0x154adcd6, 0x28ad1b49, 0xa8458dd8,
+    0x11a5418e, 0xa424323d, 0xfc3331ae, 0xedbf9162, 0xa2c09007, 0xb1e4ad81, 0x30235c49, 0x6de9db0e,
+    0xfb0c58f1, 0x6beda48e, 0xbf6a930e, 0x1b5375b4, 0xf725daa1, 0x6bc7f40d, 0xafa065f4, 0x272a5e1e,
+    0x60f2d57d, 0x69f1b566, 0xd65f07a6, 0x707e754f, 0x304b4a62, 0x2517db43, 0x6f637a20, 0x069176b5,
+    0x9f91ec3e, 0x8bb9720e, 0x0751f2bc, 0x53f52b06, 0x531e2c9e, 0x3ce45795, 0xbaed3343, 0x87b4dd6c,
+    0xbd47fbbd, 0x8e7e61ed, 0xadc7108a, 0x1e5fead4, 0x3eb3c596, 0x6b9443bd, 0xe4630038, 0x2ca2774e,
+    0xd82fdd10, 0x5af3dfed, 0x9e1b38f2, 0xa591f139, 0xf5b5b5f6, 0xb2b5b257, 0xe37162b3, 0x96c39d52,
+    0x5107e9ae, 0xcbb640d3, 0x1f904474, 0x3e688c61, 0x95853a6e, 0x213908d6, 0x63dbc077, 0x44ad8720,
+    0xe57cd1b4, 0xca302a3e, 0x5a8cf537, 0xcf71dca2, 0xa69dcc41, 0x794813a7, 0x974c8c2d, 0x9c19af16,
+    0xf719efe0, 0x9257cc19, 0x8f2c3f8e, 0xdb256054, 0x3033ef8a, 0xd0b31cc1, 0xc3de9d59, 0x63017ca3,
+    0xebe8df10, 0x5a7b12db, 0xcb269239, 0x8eeb705d, 0x3f993a49, 0xbd30c15e, 0xe12f6af9, 0x88ea772b,
+    0x13d7fd12, 0xcd71e659, 0xc39d6096, 0xebdec5a8, 0xb1a3a2ed, 0x1e0490cc, 0x2de58af3, 0x3028e640,
+    0x1450b54c, 0x60e721fd, 0xc48f0aba, 0x09825c3d, 0x7ff2e1a3, 0x2f7cefce, 0xcf862811, 0x93bcce75,
+    0x9c5760b8, 0x193a1e9a, 0x31bedfa0, 0xd0c7e6d0, 0xe284378c, 0x0548af1a, 0xb51f105f, 0xe68447fb,
+    0x6f4b5acd, 0x8d268234, 0x15c7ab28, 0xd0756d99, 0x7d317761, 0xc73d3973, 0xccdb4dea, 0xe8214c63,
+    0xdd152b22, 0x6dffde7e, 0x351ae5e0, 0x9d65e80b, 0x86a4663d, 0x7dbbbd41, 0x11ec2b36, 0xdde21708,
+    0xa1e22950, 0xc4fa68a2, 0x42cee269, 0x0910449e, 0xe6f2c66a, 0x4cf1c2e3, 0xe8da7660, 0xd6047649,
+    0xc8c25263, 0x0726cea1, 0xea3dd118, 0x30fd7299, 0x1f4cb31a, 0x05422251, 0x5d2219fd, 0xf9a9b39c,
+    0x2adf5114, 0xcceb49fe, 0x0b03301e, 0x5f00c135, 0x3cea4c31, 0xd3781408, 0xecd5c524, 0x6e73dc13,
+    0x73903659, 0x9c3d061f, 0x0f85ed74, 0xaa3a0fe1, 0xc5f506f2, 0x7cb45c46, 0x246b124f, 0x3107a4b8,
+    0x93316735, 0xd7699b46, 0x9d14782c, 0x86bb04d8, 0x18e097ef, 0x9c621428, 0x2cec6d59, 0xe9c927e3,
+    0x62b9c293, 0x86ce89ad, 0x85439b61, 0x2306a17e, 0x6e65a491, 0xaaa02af1, 0xec30f1aa, 0x0395474a,
+    0x4f8eee03, 0x0aafff0f, 0xebcc8d17, 0xc62d17dd, 0xb3f4ffa6, 0x7a7e9842, 0xcd0a7fda, 0x442dc32f,
+    0xc68639bc, 0x1d8d56d5, 0x2b92dcdb, 0x07ef8ba9, 0xf9dfb42f, 0xa1e8731e, 0x62e877d9, 0xdd5d998f,
+    0xbad32c4e, 0x8069a273, 0x2b14022c, 0x65a946be, 0x6fb6bacb, 0x6fb4c706, 0x1d5c61bd, 0x88e7a119,
+    0x30c08167, 0xa4a9a8e1, 0x20d61352, 0xe27d6074, 0x2ecdbd21, 0xbea26a65, 0x705c9136, 0xadb52f67,
+    0x3fc1e51e, 0xdac312cb, 0x27707cfe, 0x990e30c9, 0x9ea88be7, 0xc4949cb8, 0x0a9d89d5, 0x094dba3e,
+    0x67d1b3f8, 0x094b5b35, 0x8fd26c3a, 0x99b308da, 0x0f73bd43, 0x17f264a4, 0xc60d6906, 0x13a04c0f,
+    0xf75061d8, 0xdc4467bc, 0x200c873a, 0x3b40e041, 0xefc46cac, 0x2699aa55, 0xf60c54e2, 0xe5a88d49,
+    0xc6cb4b13, 0x3082f465, 0x049d8286, 0x0e10902b, 0x5f25d87a, 0x2de16c64, 0x676528d5, 0x69d7ee04,
+    0x06770478, 0x8e5dc937, 0x9d4f6c84, 0xcdf155c5, 0xfe031afb, 0xc5d5802f, 0x6242b9ff, 0x7bb67f82,
+    0xd4e3be51, 0xcf4f3b61, 0x19c39b9d, 0x876b26a9, 0x4850c4fa, 0xf61d7f06, 0x3acbf085, 0xe03f9179,
+    0xb4e3b1be, 0xbe188fab, 0xc726a601, 0x77b4f76c, 0x7dfff9ba, 0x61e92511, 0x0fdf6bb0, 0xc543ff3b,
+    0x6b65e1fe, 0x4a06608d, 0xde1a3ca5, 0xf0aa68a5, 0xa858eabc, 0x5951d3ea, 0x3039e219, 0xb9d62104,
+    0x3086972d, 0x2cb057ba, 0x5388dfbf, 0x0b56fce9, 0xdf614fef, 0xf00ca4d0, 0x0be248a8, 0x26f3f9e9,
+    0xb8ee1b04, 0x886a874b, 0x26a54be9, 0x1e00b9bf, 0x5a8a15e8, 0xcf1c7046, 0x44ecf4a8, 0x28a56fbb,
+    0xd4bb498a, 0xe5c63302, 0x20a1d521, 0x75eb19b6, 0xca74e59f, 0x278aa162, 0x5ff0bc50, 0x8928dabc,
+    0x29301e97, 0x5ec2e1da, 0xa9755d24, 0x85463bd2, 0x7f6f2fa7, 0x76d021cb, 0x9570348e, 0x558f87d7,
+    0x9e3e52d2, 0xab385411, 0xc5c8eb04, 0xfd0c387e, 0x89039376, 0x6c089e6f, 0xabfff446, 0xb76ab179,
+    0xb173b83e, 0xa6d3fafb, 0xf4be0d0f, 0x79308d9e, 0x82cf601e, 0x021844eb, 0x8a0efde1, 0x90b57782,
+    0x5a1b2d1a, 0x2eb222bc, 0x63299da5, 0x89096ffe, 0xf8f29a64, 0xfb113057, 0x933e2c55, 0xfaf4b25a,
+    0xdf62324c, 0x695923ae, 0x0189909a, 0x3e3e2410, 0x69958e8b, 0x478e9680, 0xc4ee8aa4, 0xc2155b13,
+    0xd0041f99, 0xf2425bd4, 0xeb8fa898, 0xa8aa15aa, 0xce919884, 0x2cd4c585, 0xc3fbe250, 0x7e5dd150,
+    0xa09968a0, 0x192d6aea, 0x10138f93, 0xd537ac48, 0xee159796, 0x5ddea400, 0x29a6fb04, 0x1b90a826,
+    0xd11b928c, 0x727ef05d, 0x753827c3, 0xda92aa5f, 0xaa006825, 0xebbd7609, 0x3d8daaa5, 0xf5b74d1c,
+    0xeb082fd2, 0x71b87f48, 0x11214d5f, 0x39732b65, 0xf9a35577, 0x9f86e7ef, 0x27ce5ebb, 0xf68354a4,
+    0x250381b0, 0x08505dab, 0x8d1c5b6a, 0x1af1359e, 0x1a971781, 0x655065b5, 0xc82ff967, 0x220a1fcf,
+    0x415698dd, 0x8ad23cb6, 0x782f0c96, 0x00040bde, 0xf597d637, 0xeab0c645, 0x0a29c5eb, 0x14d7e9e8,
+    0xc7b0f476, 0x0b70c737, 0x4fe5eda6, 0xa2b12d9a, 0xd8d8b64d, 0x1e9cae4d, 0x542eb1e7, 0xa72834a6,
+    0x253093e7, 0x84e9009f, 0xb3a21a8b, 0x9aff33af, 0xf91d2940, 0xbc5d93d9, 0x97ed6a89, 0x1818fea3,
+    0x3e2dd2eb, 0x74447494, 0x38fb85f7, 0xcaad44f3, 0xc077b3f0, 0x692f9806, 0x6bb6d60f, 0x5f31a6e7,
+    0x1670b843, 0x681f1417, 0xb533aca9, 0x8ea1b4d4, 0xde1ba879, 0xa6b82fd3, 0x0f3a06a9, 0xfbf33203,
+    0x33c9ea59, 0x2d58ef8c, 0xe56cad22, 0x28179257, 0xf5f07983, 0xad885071, 0x7d97c228, 0x1a54043a,
+    0x575cabaf, 0x64fe5ac7, 0x7d8b535b, 0x4124c7ae, 0x8982975d, 0x7dc9aea1, 0xcd36a126, 0xd520ed07,
+    0x52703ea9, 0x841c6f92, 0xb03d02f6, 0x2cbf637f, 0xb5e2bce7, 0xd16a9d10, 0x54812bf1, 0x299283fe,
+    0x4fd273b4, 0xebf5458d, 0x4b2dabf6, 0xbe880fbd, 0x0bb1fbfa, 0x83fe32e8, 0x28c78a09, 0xa24cdef7,
+    0x9966106d, 0xd42b1d0f, 0x0ec464a8, 0x910d48d4, 0x95dacc40, 0x30852cbd, 0xcf916f15, 0x1968ea23,
+    0xb081f9b0, 0xfadbf7d6, 0x29018c69, 0x4b2d48b0, 0x1e098d78, 0xb6224f43, 0x2591f597, 0xedf5439d,
+    0xb73296cf, 0x0aff9c55, 0x44386b30, 0xcf2efdaf, 0x2ef69fa9, 0xcae67b36, 0xfefe3b10, 0x2b45f5c1,
+    0x5dadfb05, 0x679369e0, 0x88160961, 0x650763e2, 0x2630857d, 0x85cba5cd, 0xe9f8396f, 0xf62b9cd7,
+    0xadef1f34, 0x980d6ce3, 0x63c6372d, 0xf44198d1, 0x61822048, 0xb2c98698, 0x9a6a42df, 0x8fccf240,
+    0xf60c985a, 0x1bcb48b2, 0xcd9e2d18, 0x26021c16, 0x6f119012, 0x6b49808a, 0x70b32153, 0x3f42f032,
+    0xccbc152f, 0xca003df6, 0x95bc10b8, 0xc135d244, 0xbc739e64, 0xa2dd06b1, 0x7d27eaf2, 0x39288b01,
+    0xbc8c258d, 0x683e8e25, 0x5c3223f8, 0x24d37bdd, 0x604f3d90, 0x10811310, 0xe6d2e082, 0xc87b8aec,
+    0xfb051d0c, 0xfc3674c4, 0x3f764f64, 0xb4d87ec6, 0x5842a4b0, 0xb4eaf225, 0x216a3496, 0xcbd2cfca,
+    0x51691fe6, 0x6ee9b126, 0xadfb9ea5, 0x6b2fd21d, 0x261c0bc4, 0xdd8d7762, 0xa4b14c07, 0x7b7e2643,
+    0x97781e75, 0x4baae61d, 0x574d51ec, 0xff4b3df2, 0x634a2780, 0x2acc97b1, 0x928bbd9e, 0xdd5d3fea,
+    0x603db5c0, 0xb286e8a1, 0xb65b02b6, 0x68f60c81, 0xd22fc141, 0xc4c7c732, 0x53ab2497, 0x37da437b,
+    0x355d50e2, 0x36f6b028, 0x7a60d5a2, 0x42cd6b0f, 0x4b406cde, 0x4c5562d0, 0x487afac6, 0x29b9d042,
+    0x317d5ec8, 0x9827cb4e, 0x0172d0ff, 0x122e507b, 0xf9d0c534, 0xf77dd96a, 0x15934816, 0xcd6005f5,
+    0x3abbfb3c, 0x1d9211c3, 0xfba20a2b, 0x13053a7d, 0x105d117d, 0xf55de000, 0xb8a5d6a1, 0x978b9365,
+    0x8313debc, 0xa5e5bd0e, 0x30b35dba, 0x328a934d, 0x3c113967, 0x13ed801f, 0xf6b9ef22, 0xdffacdf9,
+    0x6981a79c, 0x60a704b2, 0xe69bdd07, 0x5b78632a, 0x9a1f56f5, 0x6eae55ed, 0xb23ce08b, 0x04cbd4a7,
+    0x0f07be5c, 0xb54c51f4, 0xafa5751a, 0x7bf062a1, 0x3c24ac36, 0x898da454, 0xdead28a4, 0x212b4fd1,
+    0x7ba38bf5, 0xe4988aa4, 0xcd09f72e, 0x16d5b00d, 0x7bf99a98, 0x66611070, 0xa4ed1e35, 0x9bfd4ed5,
+    0x850f3735, 0x2c10eb7d, 0x24ac5022, 0x5f66540f, 0xf08e6a72, 0x3c6fa631, 0xf197d1ce, 0x54a1e60b,
+    0x49130422, 0xb48c0dc4, 0xd18712bc, 0xcff20130, 0x9719fb01, 0x965cc552, 0x4e4e39ed, 0xdd67b5f0,
+    0xb5ce81cc, 0x6985f603, 0x674170b8, 0x2988b013, 0x6259d729, 0x0bdfd451, 0x78096a61, 0x66fa75fb,
+    0x292e76a3, 0xfe03d448, 0xea26adfe, 0xacb4e859, 0xf55f0c0a, 0x7e202ee8, 0xddd8a18b, 0xa33a7f0f,
+    0xdec4c1f9, 0xad38bf01, 0x9ffa76bc, 0xc353976d, 0x07b50f7d, 0x3b488498, 0xfa5548c4, 0x847f9c1e,
+    0x190db8aa, 0xb06470a9, 0x76023b0d, 0xab1f3ea3, 0xd17e78a8, 0x1a682b11, 0x290938b3, 0x0476aab3,
+    0x1fbdc12f, 0xa76e9631, 0x3c9878d5, 0x78ae68af, 0x77ca8dcd, 0xce5c78be, 0xd98ec6a8, 0xc4891349,
+    0x60888b99, 0x4f05ae91, 0xab1d2c43, 0xac0ddf1a, 0x021d0e71, 0xffa4d1ea, 0x9b547813, 0xd467f1e7,
+    0x32fb668d, 0x3f697505, 0x45196395, 0x52d18d90, 0x7e4b9a93, 0x77951c9a, 0x2b7e9708, 0xbbadc6d1,
+    0x8f43705a, 0x08edc521, 0x529720db, 0xc5981008, 0x58cfbfd5, 0xf640484f, 0xbb541060, 0x97daa3c4,
+    0x351fcfd5, 0x331234d4, 0x3888fb78, 0x6db14060, 0x24b26ffb, 0xb4a384d7, 0x047c54cd, 0xebc2b60d,
+    0x40cda385, 0xa97876ed, 0xa600047f, 0x05c96837, 0x3aaa496c, 0x2cea22d7, 0x206b92b6, 0x6e0b8839,
+    0xe8ff27ff, 0x60edccf3, 0x7016ea1d, 0xd879c456, 0x11e0fcd9, 0x6077cd88, 0x10c36d61, 0x0bf81e1b,
+    0x4d52e7db, 0xbe7fb50d, 0xe992f7d2, 0x0e8655be, 0x1651bef3, 0xd531be65, 0x6cda88d2, 0xd0d9ec94,
+    0x995d1585, 0xe06f300e, 0xcb7852ca, 0xebadabef, 0x46406836, 0x8176129e, 0xd26519ce, 0x46e78c56,
+    0xc3d52e26, 0x264e4066, 0xd920fca7, 0x53ba1d02, 0x097e8d28, 0x20aad650, 0x58318f9d, 0xd803ea19,
+    0x1725b3bd, 0x65feed60, 0x98e8bab2, 0xdee44b42, 0xb5c87c96, 0x1fae9354, 0x99513af4, 0x7039f0ca,
+    0x22ee4622, 0xde3f6d0f, 0xd4cae3a7, 0x469cc91f, 0xcd65bdb9, 0x3788fa60, 0xb5f3ccb8, 0x755f63c5,
+    0x5d3340ed, 0x9732388d, 0xfc674cea, 0x5cca2d4f, 0x4c1cb130, 0x811d331c, 0xf388e277, 0x32c4aad0,
+    0x04b2b2c5, 0xe21b7226, 0xc5e12637, 0xf80def08, 0x75af0ee2, 0x49ca3168, 0x18f430b7, 0xb7caa84d,
+    0x00000000,
+    0xac8082e6, 0xad4e91b6, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000441711766194596082395824375185729628956870974218904739530401550323154944 */
+  { 0x00000000,
+    0xf362f16b, 0x61675cd3, 0x8586972b, 0xd48314f9, 0x6aa642c5, 0x5f3e05a2, 0x881f0b82, 0xab514c5e,
+    0xd0b6de6d, 0xed3596bd, 0x869f7281, 0x741a15e3, 0xf8ab0320, 0x85258925, 0x1df23691, 0x29fb653c,
+    0x322d77c7, 0xab6005fd, 0xaf189a33, 0x81caa30d, 0x16458a0c, 0x2c990a62, 0xb3addf51, 0xc8e7fbad,
+    0x76e167ad, 0xb094070e, 0x0a753f6e, 0x45ccabc8, 0x5caa7619, 0xe1fcb1b2, 0xe4ac8e94, 0x4348c896,
+    0x852b67bf, 0xcc07d891, 0x9a1c19d1, 0x3d5c5e6f, 0x70d9a00d, 0xf5d07850, 0xe5fb7754, 0x930c73dd,
+    0x45074fd3, 0xd353892a, 0x016fe90e, 0x2d6f6005, 0x2f45e434, 0xca350215, 0x17e0d22c, 0x5a1ee690,
+    0xcdafefcb, 0x80c2f757, 0xccb04086, 0xa3211c82, 0x75c5abc3, 0xab9d3a25, 0xad50a560, 0x4b4e9645,
+    0x366b63b1, 0xe5bbdb3e, 0x14a275e0, 0x676dedff, 0x85ba3fed, 0xf0cd7cef, 0x0c8a5be1, 0x307c78e8,
+    0x8f654c5a, 0x64657fc5, 0xbf405a67, 0xeccf8867, 0x27174c38, 0xb791d42b, 0x1b7326bb, 0xd8b0c8d9,
+    0x4a47ed33, 0xf99e4599, 0xb91efb08, 0xaae22f40, 0xd09529fa, 0x7a47e0ba, 0xd273fcc9, 0xd5d91eac,
+    0xec8e6f48, 0x07d546a4, 0xe6426915, 0xa0de978f, 0xdfa7f586, 0x613696bb, 0x074940cd, 0xd1d25017,
+    0xe61611e9, 0xa0b4dc1d, 0xd7d9bdd5, 0x7520545e, 0x4c111669, 0xfeb06d2c, 0x14a6d082, 0x129d0617,
+    0x9d56a2b9, 0xed440061, 0xf125e663, 0xcf96d2a2, 0x7fccca76, 0xba73108d, 0x6c6d2a65, 0xa247a2c6,
+    0x7eb855c0, 0xc7ccb6f2, 0xac041969, 0x0d2e56b2, 0x8a6843af, 0x30241722, 0xf1f6c65f, 0xb78df637,
+    0x7c03693f, 0xf681a6b5, 0x75cdf257, 0x0ea2de90, 0x41a58417, 0x483338b3, 0x06152450, 0x47cae85c,
+    0x1c66ae8f, 0x76f718c7, 0x767dfe45, 0x0cc50086, 0xf1ead1bb, 0x7f086b2d, 0xdc9c6d65, 0x50e852d8,
+    0x55daf119, 0x581dddc4, 0x19348d90, 0x9c995550, 0xf27e1916, 0x0143b475, 0xa5daa2e3, 0xac1db530,
+    0x56a9b233, 0x0bc9c24a, 0xbc32159a, 0x588f74eb, 0x53e1dfb1, 0xe5869b21, 0xab058fc1, 0xbadc60e3,
+    0x20113c4a, 0xa75846f4, 0x91d792a6, 0x0b8473e4, 0x04599bd6, 0xa2671006, 0x317ea69c, 0xee9579d8,
+    0x83f536bd, 0x7d6aeed3, 0x96d1557f, 0x105c040a, 0xfa74b55d, 0x89fc647c, 0x2f07c6ba, 0x4523fa76,
+    0x1823e261, 0x7c925537, 0x8ce941a4, 0xf078daa7, 0x76091edc, 0x261eb4e0, 0x6b8943fd, 0xc4554a48,
+    0x9a94c031, 0xa6c2ed95, 0x983fa9db, 0x8e9d19ff, 0x77f133a3, 0x6759c9e0, 0x5b8db412, 0xfb328fe6,
+    0x46b23ef1, 0xe4166900, 0xecc16319, 0xba6ce0f4, 0xc40b9175, 0xa669795c, 0x9a94cafb, 0xc985ecc2,
+    0xf3e9750d, 0xbb08a5b9, 0xa733ddfb, 0xd0a354d9, 0xb0817861, 0x9f105716, 0x4ef22037, 0xd02bcaef,
+    0xfb547437, 0xb1707612, 0x7115cdd8, 0x80bd8e65, 0x669e2b40, 0x407e7e7e, 0x8118d67c, 0x4b59d788,
+    0xbd00e4f5, 0x7966a336, 0x0bdcd4e8, 0x079da667, 0x0953e773, 0x7ac5ec63, 0x63255f53, 0xec3e617a,
+    0x2e273417, 0x7576163f, 0x393ea591, 0x4ec33dd3, 0x8d8e7957, 0x39449b1b, 0x47b4ce37, 0x2d30e530,
+    0x2c120ea8, 0xa172b158, 0xafd77e51, 0x2c38e882, 0x341e3d97, 0x8a3cfb05, 0x16147b7a, 0xd8c1bbbc,
+    0x91b8c424, 0x6827e8b4, 0x24745a69, 0x1a106981, 0x4146d239, 0xed33bdb6, 0x1d21d801, 0xc42f5f9d,
+    0xd705ec0a, 0xf8f46716, 0x9ff26d06, 0xbaa5dc8b, 0x9cd040e1, 0xa9b6fc54, 0x68f6de67, 0xd75e3aad,
+    0x4e7fcdfd, 0x0e278805, 0xce55c029, 0xd6676319, 0x11106c03, 0x55368d09, 0x5f309af4, 0xdde22eda,
+    0x558baa76, 0x4f97350a, 0x68809d55, 0xe39a529e, 0xcab7a919, 0xbbbc3e63, 0xfdf5b0e9, 0x653d4206,
+    0x7e9778f2, 0x2fdb3f2c, 0x3af87699, 0xec85d235, 0x2ecc68c8, 0xd47fa360, 0xfb66e1a7, 0xf80a10f3,
+    0x6a05ee41, 0x1af2c93c, 0x918cb6ba, 0x43c7aa70, 0x6b9ff017, 0x148ac56e, 0x1f882208, 0x5f3e4028,
+    0x2ecd41d6, 0xb1a08ba2, 0xde84bd6f, 0x0260a7ff, 0xdef0a275, 0x8c099945, 0x823819cf, 0xa41fd018,
+    0x419c7e5d, 0xb3c4ff96, 0x873a8b3b, 0x519d6c93, 0xece3c595, 0xcd7df142, 0x0e07a490, 0x72b7c5b9,
+    0xf7595127, 0x22830100, 0x2f3f3786, 0xba1ca187, 0x54d24790, 0x76444d35, 0x2351a8a7, 0xc5e7fc6f,
+    0x3f4150ed, 0xc8dcb4e8, 0xdd288170, 0x42699a9f, 0xf161fab0, 0x01d2cb51, 0xa8d8a6d9, 0x90dc0d73,
+    0x5610811f, 0x04bdeb4f, 0x5f8cdf21, 0xddd240c4, 0x064e0002, 0xb645ddc0, 0x614bb714, 0x3caf9433,
+    0x7aaa2c4d, 0x2ea75ea4, 0x614a7eec, 0x61b24523, 0x522e15ef, 0x61930fc3, 0x39034e9e, 0x801d94d7,
+    0x70704903, 0xaae8f509, 0x47259a55, 0x0f4e7028, 0xda71ab38, 0xbbb621b8, 0xea330ec9, 0x2fdd6ae7,
+    0x3dadd707, 0x8d82d559, 0x0d448754, 0xaddf6390, 0xa06ff018, 0xd4e73865, 0x47497718, 0x8725916c,
+    0x4081311d, 0xf6198f29, 0xdbeb8faf, 0x3cd0d5ce, 0x8bdfbe65, 0xab7ea64c, 0x9551f408, 0xae9e6c29,
+    0x7c55d3c1, 0x525ea741, 0xdaea0b3c, 0xc35eb23e, 0x26a69266, 0x52f017d4, 0x7a5a713e, 0xf80da8f9,
+    0x294dd5c7, 0xdd09a29b, 0x7327be09, 0x6f8c799a, 0x81fb6171, 0x8af36c20, 0xd8b2de08, 0x294788c6,
+    0x4eacd4db, 0xe534a18d, 0x9ad622d1, 0x308ef81d, 0x36dd1eb7, 0x28e4aa20, 0xf054a701, 0x4c14b277,
+    0x495b0e6d, 0x7359b145, 0xe1b90bd3, 0xa75fc64f, 0x2dae1379, 0xae46a7a4, 0x74a30337, 0x991de65f,
+    0x08b1e0b7, 0xb7d33734, 0xcdb804c8, 0xf7953fb9, 0x15072c38, 0xd109f67f, 0x4fc910a2, 0xe461a2a2,
+    0x26952f04, 0x5c1788ca, 0x01d94735, 0x8f2f6964, 0x5a6605da, 0x8e0f02c5, 0xff3487ff, 0x339c3530,
+    0x20c36f78, 0xabb1cc9e, 0xf380c5cc, 0x83fcf34b, 0x8e04d94c, 0x1337a24c, 0xaa895741, 0x0ee71b83,
+    0x2603733f, 0xbe79628f, 0xf835a781, 0x78875f65, 0x5173fe7d, 0x987a4280, 0x8146c3e2, 0xd5f7d16f,
+    0xcdca3eff, 0xdb40bf13, 0x750e04bd, 0xfe15c650, 0x63f026a3, 0x68805fd0, 0x350ca3eb, 0xdccca286,
+    0xfc520ceb, 0xb3044186, 0x4dfeadcb, 0x4e60c24c, 0x01722248, 0xdd2c2afe, 0xb7f3844e, 0xd6a457ab,
+    0xae551200, 0xe7b231b2, 0xa012e357, 0x23008ca0, 0x52775c43, 0x432c49d2, 0x77c0fac2, 0x12cd00e3,
+    0xdf6ffc8d, 0xb1ff8b3d, 0x709daa07, 0x69e490d0, 0x709399b1, 0xef40d2cf, 0xb263b1d0, 0x8a1a79d4,
+    0xbc60825e, 0xc842d31d, 0x111f01a9, 0x4c422e8c, 0x805ec3af, 0xe7c69c21, 0xdbd347bd, 0xcb3962ec,
+    0xa1ebebb9, 0x21316771, 0xdc938565, 0x1af13ae4, 0xde4767f7, 0x0ea4087f, 0x880eef3a, 0xb98512e6,
+    0xa0be4d40, 0x0807318f, 0x6892efc0, 0x17a13ff9, 0x5ee8c456, 0xe5475254, 0x4ab40c96, 0x2899675a,
+    0x5a6e3050, 0x000abd00, 0xf6f57565, 0xb2cb0038, 0x60027e1d, 0x51f2ef48, 0x6405416e, 0x04090545,
+    0xecedf30a, 0x6520c66e, 0x1dffb668, 0xafc27fae, 0x592c878c, 0xf3dd7882, 0x503fa6c0, 0x650c2666,
+    0x0145c7bf, 0xb3a3fbb7, 0x57482382, 0x0311bb05, 0x56847412, 0x1b7b90e4, 0xba4c3184, 0xed093f2f,
+    0x02c0f905, 0x1ab38f83, 0x33dfc94f, 0xe74c9863, 0xdc46df20, 0x6f4a8a2f, 0xcda4532a, 0xa0a7462d,
+    0x442993b8, 0x2281b1a2, 0x4211777c, 0xa4cc4fad, 0x8c6e46e9, 0xcebae853, 0x2006d6ea, 0x892c9dc0,
+    0x2548f4aa, 0x090c4706, 0xeba8b9ab, 0xe22a084e, 0x2496ecc5, 0xebd81fcc, 0x987acac3, 0x1858c8d7,
+    0x55e2de08, 0x5beb03b6, 0x68657c1c, 0x89a6ecde, 0x7792a60b, 0x0207deb3, 0xe9cb23a9, 0xe9e32973,
+    0x79bcb97c, 0x13523398, 0x254b8bc9, 0xf79feb42, 0x78602c9c, 0x2fb8139a, 0x95b241fa, 0x610aa2b6,
+    0x4b6fc446, 0xcdb84932, 0x06974c2a, 0x0abd855d, 0x9f1952a5, 0xf1b267de, 0x146116df, 0x73565613,
+    0xcca3d46f, 0xd395d4c5, 0xbac751a2, 0x3dfa5ff8, 0x572134f6, 0x97a15ab9, 0x584027f2, 0xb11b4341,
+    0x2bddd25c, 0xcbf2dc62, 0x4051aaad, 0x6da43e0e, 0xa62c02ee, 0x031775ad, 0x1fda25a5, 0x898f26b3,
+    0x3c170e2f, 0x78ca5e3c, 0xfef8c32a, 0x2f143299, 0x7e643b06, 0x6eb9890a, 0x57c07ca5, 0x31656055,
+    0xec7ff4e3, 0x31fabf41, 0xbc1f74d0, 0x8d2ad878, 0x226854ed, 0xd0a893b6, 0x86979904, 0x1ab9eb48,
+    0x3da86eac, 0x71921be9, 0x6aa1e332, 0x938f59d9, 0x237a53f4, 0xdaee41c8, 0xc73801cb, 0xe42df8e5,
+    0xcbd028fd, 0x9ec649e3, 0x21326f40, 0x25f67539, 0x54be2683, 0x263171e3, 0x24f139d5, 0x1ab69355,
+    0x387cdf27, 0x2d2a5cdd, 0x8d0d9be7, 0xe5b2a894, 0x3aeb9eef, 0x4477c4b1, 0xc2bbd1be, 0x0f675680,
+    0x6d67dc10, 0x0123d438, 0xc7dee5dd, 0x50ea3c9b, 0x3392741f, 0xcd35bed0, 0x5df56f42, 0x0db0b1af,
+    0x53408697, 0xde97948a, 0x5b260422, 0x9b1121b2, 0xf054c3e6, 0xd3e39a4f, 0x9a433ca0, 0xb2b1bf72,
+    0x8c4e681c, 0x2d82917b, 0x9de96d26, 0xff0b1584, 0xa0e1e62b, 0xaa589b19, 0x05bd7607, 0x7376ee72,
+    0xeccb85d9, 0x770f3560, 0x7e5a6fcb, 0x409bf69a, 0x9be9d156, 0xd84aeca9, 0x17dc95f1, 0x546fb82a,
+    0x5b83a3bb, 0xcc037887, 0x9dbaca1e, 0x59a63eac, 0xba3ff060, 0xa871fe80, 0xd03db85c, 0x4dbe2e0c,
+    0x83bfd144, 0x90be96b2, 0x3b60bb98, 0xc60cbeb3, 0x192cbbd3, 0x0ce4ad3f, 0x754b1abc, 0xfd24ac22,
+    0xb7fe609d, 0x3b8623f9, 0x429a2959, 0x79e9315a, 0xc2db133d, 0xd3c975c6, 0xa97fb7bf, 0xc7531634,
+    0x934bde98, 0xea0acab5, 0x8870d530, 0xab68431f, 0x7394c757, 0xa0f1ff87, 0xe8137683, 0xe02006c4,
+    0x8ebddc43, 0xc7da4472, 0x10911d1f, 0x25a97567, 0x98a9410f, 0x3ed37084, 0x102bca25, 0x466579f1,
+    0x6a8e8b0e, 0x95d5f329, 0x95887e6b, 0xb4830853, 0x50a652ed, 0xe0aa608a, 0x72dff24b, 0x06f500d4,
+    0x93f6df5b, 0x09e3dfb5, 0x475a624d, 0x9b83e557, 0x9eb6d1d3, 0xc74f5cec, 0x46e56776, 0x6408718e,
+    0x7c27c593, 0x7a3993eb, 0x59b12747, 0xcffa5e2b, 0x37db07c7, 0x2a2e4f69, 0x06291045, 0x551e33a4,
+    0xe65affd4, 0x1908cc21, 0xd93469f7, 0xc84ccb04, 0xefab29c8, 0x91987cce, 0x4eacb0fe, 0xf293619e,
+    0x7ece739b, 0x9ac9907f, 0xdb427f22, 0x956be0de, 0x3572d812, 0xc64b2f8e, 0xd839b8f5, 0x201f2e62,
+    0x8132c96f, 0x270ae190, 0x3305bbfd, 0x2a1b6594, 0xb99a823c, 0xc8cc275a, 0x75610296, 0xcf810476,
+    0x8856fc37, 0x85c19467, 0x3f274a51, 0xeae38d4e, 0x729c06d9, 0xae79ea2e, 0xa9e0a87d, 0xc81e32bd,
+    0x85755b81, 0x89c8123b, 0x83ad5bc5, 0x529f4362, 0x44077e71, 0x08907fe8, 0xce25dc5c, 0xc4d7900a,
+    0x24b96a07, 0xc19db867, 0x34a2feaf, 0x1951bf74, 0x39ce1774, 0xd4cca79e, 0x732539b1, 0x11de7cf4,
+    0x0c1a95a1, 0xa93a0b80, 0x50ca3756, 0x1440a080, 0x6a15cdbe, 0x18a1f32a, 0x2ea1ff5f, 0x42bd435e,
+    0xa100e70a, 0xd680dd38, 0xb2d93d6a, 0xf862dacf, 0xb4bd5d83, 0xfd2d95fe, 0x03ec41db, 0x80d58d64,
+    0x9e776f0e, 0x6ea92c12, 0x2a62bd4f, 0x4d4bde0c, 0x40972030, 0x7db4ab40, 0xdbc43fe6, 0xc70dd180,
+    0x60d48ec3, 0x876dd981, 0xd1c21fe3, 0x6af25ad3, 0x12f11c0f, 0xde58a41e, 0xefe49c22, 0x49279f77,
+    0xb8089eda, 0x13f8d2fa, 0x37d8139f, 0xf4e565b3, 0x9bb3ee21, 0xad0acd9f, 0xecb3e0f1, 0x725a58bb,
+    0xc293b1c1, 0x6dfbb45c, 0x0d4dce46, 0x99646c38, 0x72df73b6, 0xa2915c7b, 0xd307f6ef, 0x09462690,
+    0xa5996f3e, 0x271da01a, 0x7e6ff712, 0x4f8eb4a1, 0x6b8b8256, 0x74c8a4b1, 0xad7a8b98, 0x6dc3a72c,
+    0x5d2cc4df, 0xfb5a9c48, 0x1129ef0d, 0xf6528078, 0x661049ae, 0xc9706c96, 0x45c45c97, 0x37a1805c,
+    0x03d08b4e, 0x3e8df303, 0x4cb6ecab, 0x0e7a5f52, 0x0ae47b00, 0xec1ba25d, 0x015cc86f, 0x58ae1b83,
+    0xcd06f5c4, 0xd1afb240, 0x3a28e0d8, 0x19ae8cb6, 0xa1aac48c, 0x40b26e58, 0x9fd2e66a, 0x574b0de8,
+    0x27d213f3, 0x9b6e3762, 0x397408ea, 0x3431f55c, 0x720e6544, 0x248d75fa, 0x5d522dad, 0x350213b7,
+    0xe928e8a6, 0xec2c850b, 0x17e6d238, 0x9867dddd, 0x038feaaa, 0x92773150, 0xa2081920, 0xf289f60c,
+    0x9c585c87, 0x14c32ee8, 0xd0f509e7, 0xc06de78b, 0x3614bae8, 0xee1dbe41, 0xabc60f76, 0x650ac177,
+    0x490deeb4, 0x1d11a8b3, 0xce392a0d, 0x8bd853f7, 0xe59f6007, 0x9e13a87c, 0xd2be84eb, 0x266179e6,
+    0x5230b6e8, 0x0697386c, 0xc12a2c8f, 0x1fcee193, 0xbd737dab, 0xce419c88, 0xb8d95deb, 0x1da9d3ad,
+    0xe8192a34, 0xd752fefc, 0xe21ec5eb, 0x8099420d, 0xc611f144, 0x4e0e3c89, 0x18e176d6, 0xb3e2920a,
+    0x943191ab, 0xb435ffeb, 0xfec29c2a, 0x7220bfba, 0x53fa1d9e, 0x41e43e79, 0x19facbdf, 0xf0687269,
+    0x297df955, 0x66f97888, 0x9ac2317e, 0xa455452f, 0xfa91c442, 0xce0a7423, 0x0cf95483, 0xb1662382,
+    0x60577f4e, 0xc755e18c, 0x00712a61, 0x2332c272, 0xd84ac999, 0xc046e740, 0x78aad79b, 0x60c7ccfd,
+    0xd78f16f3, 0xcd701ec8, 0xc445d98e, 0xc474df85, 0xa50a5be1, 0x93fe6c2d, 0xbe3e4d67, 0x453b5fd9,
+    0xe4289ca6, 0x96add207, 0x43cd4ca6, 0xcba0c5db, 0x27ef73d1, 0x132c66dc, 0x2ed224ac, 0x43db19ac,
+    0x45e1e48b, 0x15ed43c4, 0x1ea934a9, 0x77e2ff7f, 0x87cfc595, 0x66b7d4a8, 0x4be2bf80, 0x3e0863dd,
+    0x12c73231, 0xf80ed241, 0x62e2edb2, 0xa3372dff, 0xf36abe67, 0x40eecfc0, 0x809f9df6, 0xcf5ba86f,
+    0x301b1962, 0x345bac8c, 0xe60db37a, 0x6197aec9, 0x31877a02, 0x3039cf84, 0x11bc4bd3, 0x05b519c5,
+    0x4d7d3732, 0xcdb4d963, 0xdd846467, 0xb6754c0b, 0x29c326db, 0x465b0c6f, 0x8a8b56bf, 0x1c1f9ff9,
+    0x752f7df4, 0x7eb0a95d, 0x55d6f304, 0x97acd9b8, 0xf6fc1694, 0xfae2af3a, 0x9ec24bc4, 0xbd6d1ca0,
+    0xd8acd32f, 0xbf1cf61c, 0x11afa32c, 0xc77bda0b, 0xf7dafb6f, 0x288ed6b7, 0x91e8f0ea, 0x126769b7,
+    0xf3e5c85a, 0x279cd3e7, 0x313c5eed, 0xe3012a7a, 0x13a9ae90, 0x452ed1b1, 0xc7c5adad, 0xfbb3dc16,
+    0x0c994d45, 0xa1d18994, 0xc4e90530, 0xe99e02eb, 0xa8df7999, 0xb32e40fd, 0xfebe7661, 0x970879ae,
+    0x13e04930, 0x6bb996db, 0x2a023b4a, 0x7e49ac5b, 0x67d0e640, 0x622911dd, 0xeebdb45f, 0xbe0b646c,
+    0x66ef147c, 0x5def1137, 0x1e08e095, 0x83f8f07b, 0x1ec37522, 0x310e7076, 0xb2ad3872, 0xf8763449,
+    0x293432bb, 0xeaddf34f, 0x9f989d54, 0x77163e1e, 0x19a63545, 0x3bd685c9, 0x644c9a96, 0x7da9ac9b,
+    0x65721794, 0x99c5e215, 0xdc3e5722, 0x133ceb2c, 0x98baabea, 0x2ab75c15, 0x2387cbd0, 0x5200613e,
+    0xcdedaa2b, 0x07f25e8d, 0x11a2036f, 0x5e0499f3, 0xc50a3a78, 0xf898e300, 0x64805d13, 0xd8e960ea,
+    0x00000000,
+    0x56404172, 0xd6a748db, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000220855883097298041197912187592864814478435487109452369765200775161577472 */
+  { 0x00000000,
+    0xbbb10cb2, 0xe0bcbceb, 0x368cf4be, 0xda2c5821, 0x2519c99e, 0xd37e20b3, 0x7b94ecf4, 0x8e6939e0,
+    0xff240b7f, 0x75ad61b3, 0xb04b8b15, 0xbfac6da2, 0xab6d42dd, 0xe12d9d55, 0x81ac1e0b, 0xa73e2b70,
+    0xe516e58a, 0xb4edd2a3, 0x84ec17d3, 0xdc23161d, 0x9cd7cdae, 0xdae8d69c, 0x08aaa66c, 0xd4ba93b7,
+    0x08bc7b3f, 0x9af11425, 0xd05091e8, 0x274f01f2, 0x5af1a54e, 0x7600a541, 0xd107a92d, 0x1f008e8c,
+    0x1bf09311, 0xc64749e1, 0x79c2da2b, 0xc51b61dd, 0x64efa82b, 0x1c3b70e1, 0x7a60868a, 0xb70581cf,
+    0x4d59796f, 0xa3262cc0, 0x3879b56f, 0x392d7e4b, 0xfa8f670d, 0x7a9eb8d6, 0x9c2b4c7f, 0xd5fdf866,
+    0x7dd1f15f, 0xfcb73432, 0xf417cef8, 0xdb45bc77, 0xbaafcb38, 0x2a439353, 0x214a0b31, 0xed890fe6,
+    0xea3a9db6, 0x69f9fca0, 0x3ba7b2e9, 0xabe7f01b, 0xd660ce10, 0x6c766402, 0x0f3858f7, 0xc7804b8b,
+    0xa1fb9a3d, 0xf3ff678d, 0x29473794, 0xecd54605, 0x2758ff8a, 0xf17e5494, 0xae0c2fe4, 0xff9709c6,
+    0x09bdc14b, 0x71ef0185, 0xcd233045, 0x5805d6a7, 0xbb457145, 0x45211cf8, 0x068f90cb, 0x11084ef3,
+    0x85a506f8, 0x3774c7e3, 0x2c5f320b, 0x84416eea, 0x59891769, 0x4693c01c, 0x8e9010a8, 0x861b1c2d,
+    0xdde66a3d, 0x7b9b5ac1, 0x33d5e5df, 0x75c17fff, 0x4cfb2e6f, 0x55069e27, 0xfb4d1ada, 0x928affac,
+    0xb941150a, 0xc249ae2e, 0xfce59dda, 0x49f524b1, 0x3d7527c0, 0xee91bd72, 0x7ea71e52, 0xc79460a1,
+    0x637aa6fd, 0x1f957f86, 0x576ada85, 0x861161cc, 0x1c7078f2, 0x22d65faa, 0xb0976d5b, 0xbbccd40f,
+    0x451eb787, 0x9133e93e, 0xef869618, 0x32e66d63, 0x16b0f0e1, 0x2dceb08b, 0xf45b015d, 0x7895a9ba,
+    0x85e15bed, 0x25cdbe4e, 0xd64835af, 0x91b742bc, 0xb077b6e2, 0xea92881c, 0xf168e9dd, 0x97783450,
+    0x24f538b3, 0x43f09cde, 0x8d34ad0c, 0x71de6ae2, 0x4161e732, 0x22b2a0fa, 0xf2168410, 0x24c4abb7,
+    0xd5f29078, 0x4e8c0af0, 0x8ef6d1fb, 0xb61c65de, 0x00a73f46, 0xc6f19a91, 0x6589d7f6, 0xb56eee39,
+    0xf0ddd842, 0x87670f59, 0x4e8932ef, 0x7eb436ec, 0xdb1a5a07, 0x854fafb4, 0x5d4394ce, 0x60cdc04f,
+    0x2a679384, 0xd3daba58, 0x216182dd, 0xffcbcc7d, 0x1638dc1b, 0xa573cf08, 0xdfac6175, 0x89726ca1,
+    0xe22a8e1b, 0xdb1f0b12, 0xeed5b868, 0x45475f80, 0xe0514b8f, 0x7ee5096e, 0x3eb358bb, 0x0d6fff55,
+    0x78be5792, 0xcc6a5e86, 0xf2f5a331, 0x2e0879c8, 0x099e8552, 0xbae26b96, 0x965ea0da, 0x7d0cd2b3,
+    0xff843220, 0x346e540b, 0x24d37101, 0x77ef6d24, 0x0679e59d, 0x1b806ee0, 0xeeb47c8f, 0x1b550110,
+    0x9b72a4ff, 0xdec3970c, 0xf10d8e1e, 0x61e4e32b, 0xe95e1b35, 0x50f016c2, 0xcaa853a4, 0xce46a46e,
+    0xa5fd98ac, 0x8faf1810, 0xab7fd602, 0xcf65a252, 0x2c71bc4e, 0xa7e0fc74, 0x422b3ad1, 0xf22a05d8,
+    0x94b7100b, 0x254e4968, 0xf0f816bc, 0xdd6a0be5, 0x671597ba, 0x468b1972, 0xbf3946cd, 0x9647ae0d,
+    0x0f28568c, 0x60fdfb10, 0x5b174791, 0xf41c6dcc, 0xe7e38dce, 0x6266a88e, 0x4318932d, 0xe8b6dc3d,
+    0x776223f2, 0xc1772385, 0x0b9f70cc, 0xd8dd7201, 0x05a64b58, 0x5d41aa03, 0x353638e7, 0x8a575d4c,
+    0x0126dff4, 0xba290314, 0xcbc043d2, 0x188462fb, 0x83ed6ac6, 0x5aa41403, 0x31f19dd5, 0x9c46728e,
+    0x155b9952, 0x791e84bf, 0x1382fae2, 0x6da1ee59, 0x02b87a19, 0xaf5d4069, 0x54a5a46e, 0xde76d794,
+    0x2ec45abf, 0x163696e8, 0x2a49bb79, 0x9cf39182, 0x3d16903e, 0xd93f3027, 0x9cfbee32, 0x7d7bca65,
+    0x94ddd869, 0x0633f736, 0x98cd9f38, 0x4ff69168, 0xf181bc66, 0x6de3951a, 0x3bc301e3, 0x3f7928f3,
+    0xd35c34e0, 0x47b040e7, 0x03dcc0b7, 0xc79d763c, 0xdf7f384c, 0x9dc307c4, 0xf90147d2, 0x5824ad61,
+    0x09382988, 0x574d97c9, 0x7a892972, 0x8f688a38, 0x876f470f, 0xba1351f9, 0x88892967, 0xaa63c743,
+    0x004305bb, 0x6174ba1e, 0xfc232545, 0xa33af7fa, 0x062c72e1, 0x7bf83a05, 0xc0c38d4c, 0x77807c37,
+    0x4fa32cd0, 0xee788c7c, 0x71e931fc, 0x73a9dc43, 0xb739ed0b, 0xdb2b4fc1, 0x0cd2a769, 0x872a5f9b,
+    0xd6fb312e, 0xa7f7b2f4, 0xcb191159, 0x42bd7511, 0x007723fe, 0x22448e3a, 0x9dbfb4a1, 0x8ced3665,
+    0xf2bebaa0, 0x1605fd93, 0x2ef34f35, 0x356dd527, 0x05b1a5ee, 0x6c5fe70c, 0xda4c5d79, 0xebea113f,
+    0x1dd30f9c, 0x653c0d9c, 0x73846d71, 0x899bb44e, 0x5253b599, 0xc5f30008, 0x43f54b26, 0xa88400eb,
+    0x49badbf3, 0x92c14477, 0xd77fc072, 0xb1c8900a, 0xaf67d947, 0x44344fb8, 0x798632ff, 0xded7e3b5,
+    0x1f292b16, 0x54113d14, 0xb482d16e, 0xfc335ce4, 0xf754b588, 0xe85576be, 0x4f0b9d4a, 0x083a2eef,
+    0x41c30897, 0xcb139411, 0x5b255a11, 0xefba5d48, 0xa37ccf20, 0x3b9f469b, 0x273937c3, 0xef395254,
+    0xde92c869, 0x7bf2bb1d, 0xae443700, 0x0889e5c5, 0x3cc52043, 0xfbe22b6a, 0xdbc8d62f, 0x4e483fdb,
+    0xef6a9621, 0x234f7372, 0xa339cd71, 0x17c8acb8, 0x87b4f0e6, 0x51af1ca6, 0xe5453227, 0x70a6b95c,
+    0xb4e8733b, 0xc642cefc, 0x850b5bd2, 0x8eb8ab89, 0x7d4ae6f0, 0xe9e97083, 0xf0cacd29, 0xf5aa588c,
+    0xef43edd7, 0xf085515a, 0xd52a5d3d, 0x330cac7b, 0x5e719168, 0xfc7abfa1, 0xc9315abc, 0x51bd7238,
+    0x86dfd019, 0xab6f1bcf, 0x99b4258a, 0x0ac3b36a, 0xa3b1dacb, 0x72e82c96, 0x0c86a488, 0xc2769b40,
+    0xc6718a20, 0x24a90eb2, 0x7440eb1f, 0x54a4885e, 0xc67a4023, 0x8bc9f624, 0xd9c90eaa, 0x3f06e89a,
+    0xbf59a316, 0x3c355458, 0x5613c2a9, 0x1eebf3c1, 0x18d977f5, 0x9212cdde, 0x08bc7f78, 0x0d447fae,
+    0x3dd35595, 0xb0e17fdb, 0xa1d8e4fb, 0xefd20eee, 0xc118473b, 0x601b1b17, 0x7c321467, 0x89f34cfa,
+    0xc7f45013, 0xee5b4109, 0x16d138b7, 0xc86bf0cb, 0x6fd9f9c8, 0x124ca206, 0x3fa9b592, 0x9be2a6b1,
+    0x0a57a1a7, 0x64411566, 0xbc3dd3d0, 0x8c9af4bb, 0x58b25629, 0x8090c082, 0xf798fb42, 0xa1927026,
+    0x68a6b743, 0x3c316737, 0x3162a23c, 0x2b4487c5, 0x12e8b8c7, 0xf7c1681b, 0x4e3c33f9, 0x4c471d95,
+    0xe6fad2a0, 0xc0410013, 0x786810be, 0x1fd68f55, 0x5379b9e5, 0x040120c7, 0x3cab2c38, 0xebe88308,
+    0xf4ee7d3a, 0xb59127e9, 0xc73eb2ff, 0xfb9086c5, 0xd537832a, 0xe2bec116, 0x18e367bc, 0xfbdbc47a,
+    0xbf9a8930, 0x797e75d3, 0x48f80ac2, 0x45a3efda, 0x29739477, 0x8d4e97e6, 0x217a671c, 0x65007fb3,
+    0x7b111d50, 0x3dd88250, 0xd2f6f428, 0x1d4cf988, 0xfb08a437, 0xb3e8ca71, 0x78da47ae, 0x9f0490e4,
+    0xcf2759c0, 0x9e74e70c, 0x17d9f69f, 0x191eef02, 0xf21df279, 0x22e565ea, 0x6d2333ab, 0x7d231fd9,
+    0x136454dc, 0xb858d238, 0x36a79aca, 0x4e2a5cf1, 0xb8588ece, 0x90c8592a, 0x79b7ca44, 0xb4f92806,
+    0x5f311014, 0xa8f535f7, 0xfa8a4b33, 0x0a1f0a1a, 0xa27b29e5, 0x1bbd8ac7, 0x8b6e7348, 0xa022a0da,
+    0x6485d5c0, 0xe572c784, 0xedccde4e, 0x7349e543, 0xb4fcadc5, 0x0ed73852, 0x3bcb7db2, 0x1aaa35be,
+    0xfba4157d, 0x7eb15ba9, 0xfc0b4ef5, 0xd793c517, 0x5e34dc2e, 0xcd0da3d0, 0x66be388c, 0xb94efba2,
+    0xd0a0da32, 0x719ef84e, 0xe784e9ea, 0xac3f7d3a, 0x0f70870f, 0x80d08076, 0x64f35e01, 0xb535bc19,
+    0x3f2f5751, 0xf3bb7ace, 0xca80a94f, 0xf10c2d74, 0x3a7a8f5f, 0xb59bfb72, 0x6e14d832, 0xf04e3eb8,
+    0x6c6e9b56, 0xcb361edc, 0x0e7ebdd8, 0x8159ecbb, 0xaebfd7aa, 0xb9978b86, 0x9a0519f2, 0x85e10cd6,
+    0xa284ac58, 0x74fa577b, 0x1e6d20a4, 0x39a63ccc, 0xa253d4e6, 0xab923f10, 0xd9fbd7b9, 0xa7430425,
+    0x57f2a09c, 0x5ea120a7, 0x3ed05f41, 0x1d1d2853, 0x33aa9441, 0x7d80cbcf, 0xdce0c212, 0x7d37294e,
+    0x00b111c9, 0x5dddc318, 0x308edad6, 0x61e6d12f, 0x8ed4b3b0, 0xf9383f82, 0x1b5d0879, 0x3c759589,
+    0x5fd76d0d, 0xf9dfc9f8, 0x30834645, 0x40e0c945, 0x2bf7e6c3, 0xbafd5fbb, 0x57688c76, 0xa7676cb2,
+    0x885adaaf, 0x1cf79952, 0xa84189e4, 0xc0054eeb, 0x405e1eb2, 0x703d0b9b, 0xe55721d5, 0x0e37e54c,
+    0x31c70562, 0xbb0b0cfd, 0x9439bb67, 0x2857e886, 0xf966f692, 0x1fe0b630, 0xbaab28e8, 0x51ab5c59,
+    0x37622b7f, 0x8459e7b0, 0xb8e76ce5, 0x6d2ae9d5, 0x833ad4ed, 0xda8e99e9, 0x89bf302a, 0xab6c2fc3,
+    0x8ce21b5d, 0x94c5769a, 0x1aef4031, 0x596b04cf, 0x8160dbe9, 0x45d9cc3b, 0x728bc0e9, 0x6381a8f0,
+    0x01fcd5ca, 0x0d0a685c, 0x53463981, 0x6d5eac8b, 0x800a0aa5, 0x0802f5c1, 0x796cd867, 0x4619a2c7,
+    0xd6b7edc5, 0x8ac25100, 0xaef4ac37, 0x2c877aea, 0xb900d618, 0x376ee825, 0xd49a866b, 0x16ff2809,
+    0xc62c9a1c, 0x274c8f83, 0x75f16dbc, 0x07fe78f3, 0xb0a57645, 0xdb806f9b, 0x21637611, 0x22564b6d,
+    0xdbf21e01, 0x969dda5b, 0xa81cfad7, 0xcb0edfb7, 0x282292a8, 0xffb3ce8d, 0xfd0a7104, 0x61a6feab,
+    0x28284e4b, 0xa49acbc7, 0x4856a5d9, 0x93244430, 0x35dd624d, 0x3c629b9f, 0xcfd3a204, 0xee2de005,
+    0xf345303a, 0x43cf0448, 0x142197ec, 0xa0e17287, 0x65e1d4d9, 0xe1373744, 0x1e84fa5d, 0x042bada4,
+    0x6dd5dafb, 0xbc6d576c, 0x1d095fdd, 0x7e0854e1, 0xbe896a9f, 0x89b5e2f1, 0x7b4259ad, 0xd3c20948,
+    0xd0d18cb4, 0x4c929318, 0x95b1c607, 0xcb2f37e3, 0x544e91c6, 0x1402a871, 0x6deaac73, 0x02704120,
+    0x9644a5b1, 0xe803a4d7, 0x5991cb88, 0x21a81566, 0x56a3990f, 0x597a6406, 0x2534f796, 0x529d28a1,
+    0x6bfae62c, 0xd62a3743, 0xaa5de370, 0xd328bcae, 0x6cdfb9aa, 0x9e225aa6, 0x22b04ac8, 0xa7a242ce,
+    0x2c95ef34, 0x5880b44f, 0xb683670e, 0x8ba5b4c9, 0x868d4772, 0x12e16514, 0xd51c4f27, 0x8649dd53,
+    0x01a5bf27, 0xa068ab31, 0x35395018, 0x91a2f887, 0x15b0a705, 0xc6a2ee7e, 0x28eb25ec, 0xd12e8a2e,
+    0x3768338c, 0x2d9ffcac, 0x2c58291c, 0x2bdfd659, 0x86601a6c, 0xf9e5f892, 0x47250b38, 0x8e73e908,
+    0x9c6a112b, 0xc4c2b1bb, 0xab91a83e, 0xbc2f128c, 0xb90b7614, 0xfc717257, 0x612c8683, 0x28667c1b,
+    0x54a67c36, 0x09908cc8, 0xf281c831, 0x9a304208, 0xd41ebca8, 0x8a5bd580, 0x72cef951, 0xe65561d5,
+    0x1215c07b, 0x04c0a1c1, 0x57d4c945, 0x36eb6237, 0xe3372318, 0x1ceea59a, 0xdf648953, 0x38f54dd5,
+    0x2ea2edf2, 0x441d9c89, 0x139ddb17, 0x0d51c823, 0x7111a200, 0x571e82aa, 0x07c6fecb, 0x683e7054,
+    0xaf5f0e97, 0xbf21b748, 0xc1333db2, 0x8a9e9e48, 0xe699182e, 0x4cdd25a8, 0x8882ca3b, 0x24b4d42f,
+    0x43d31c8f, 0xe0612f0e, 0xe3ab6236, 0x86461746, 0x0feafe1a, 0x1f5deef8, 0x03ee52b8, 0xd238774f,
+    0x6c30e4de, 0xd0ff9b06, 0xe6e11c14, 0x322b109a, 0xb9da14db, 0xe0096b7e, 0xd00868e7, 0xbe87f744,
+    0x96245d1f, 0x641166ec, 0x4057df85, 0xa4d31b5f, 0x8bb220b8, 0x196a7324, 0xa78402b0, 0x6a17d43b,
+    0xbb3b1f1b, 0xb910a348, 0x43244a33, 0xbab32a83, 0xf333223c, 0xad9c9e26, 0xe8299467, 0xaed0fed7,
+    0x164c4a83, 0x24652fe6, 0xac3eb208, 0xe4235a64, 0x64bce794, 0x41c1d50a, 0x5080ec67, 0x25999490,
+    0x3f26b31d, 0x13a9d79f, 0xe277eebf, 0x15c0cfde, 0x7cb3cf80, 0xe03de606, 0xcc9e3879, 0xc1bbb9b9,
+    0xa2b70b33, 0x2d292bc1, 0xbc54f1b5, 0x153ab8fb, 0xe235e09a, 0x68c7a4d6, 0x6e483f3e, 0x4e458540,
+    0xad9a289f, 0x55187ffd, 0x346b7559, 0xf2afd529, 0x641e5d1c, 0x8c3b5bbe, 0xed09afdf, 0xeb044015,
+    0x45821b4a, 0x27074f4c, 0xd2b42a28, 0x88e85619, 0xbcd8648a, 0xbd6ee619, 0x8b52f423, 0x430aa82c,
+    0xd1322fbb, 0xbcf08ee7, 0x9fc4f4ea, 0x87fd5191, 0xd48ebbb3, 0x906c76e7, 0x66d6f52c, 0xd379e130,
+    0xdd120a1e, 0x2d16d362, 0x237606cb, 0xee239d32, 0x29e71781, 0xa34a0c00, 0x8c9673b8, 0x546b08fb,
+    0xecb7ab48, 0x15cbb102, 0x72d7fcab, 0x304a2528, 0xbc194190, 0x965ad87c, 0x3702fdf5, 0xfefd4cd1,
+    0x90a4e984, 0x8e83a915, 0x30c1d5d0, 0x90576c05, 0x40592f50, 0x69838c58, 0xedf9591f, 0x2ef27cb9,
+    0xbd9eba35, 0x6b6de8c9, 0xc76daa5a, 0x361cb782, 0xc13aa033, 0x907aafca, 0x28495f48, 0x012e1605,
+    0x98627393, 0xe62f1d99, 0x691848b0, 0x2eb0ceb4, 0x46ce0da6, 0x9781fcd0, 0xaf5d4781, 0x84743ff4,
+    0x752fdb90, 0x87a15ea2, 0x069e5079, 0x2336d2a3, 0x0a6b9fb6, 0xb7d4d033, 0x6674ada4, 0xbbd8b7b1,
+    0x4c2f5d64, 0x5cf0fec0, 0xaebcabaa, 0x6b68988b, 0xa64ea034, 0x308dea8b, 0x031dd590, 0x52a79692,
+    0xdb518940, 0xb72a621b, 0x939759a1, 0x5305c8d9, 0x943722f9, 0x2368f77c, 0x81fe8382, 0x103b4405,
+    0xd438ac8b, 0x9e594b58, 0xcee49250, 0x4f6b9873, 0x2b0c5d65, 0xb23fbf6a, 0xafa93ba4, 0x484f741e,
+    0xed13026c, 0x985b2f10, 0xb9982ffa, 0xa0b127c8, 0x8cf031b3, 0xaad89693, 0xaa185fe8, 0x9f5c6e15,
+    0x9fad540c, 0x98218764, 0x400672f6, 0xbd8106b1, 0x3933c963, 0x02fdfbd9, 0x3e892859, 0xa821e707,
+    0x8ba32825, 0x55bed4ef, 0x8a7be85d, 0x7c217130, 0xcb136e40, 0xa3b8a3cf, 0xd62f59c0, 0xab5eb4bf,
+    0xe8fa2cea, 0x146959a7, 0x35e8145c, 0x8ec53342, 0x9ffd66a6, 0xe9f4188f, 0x2fd63d56, 0x8087154f,
+    0x16c8d54d, 0xdbc7898a, 0x93e469db, 0x34700557, 0xe119460b, 0xed68861c, 0x0814b77c, 0x1d23b4f2,
+    0xb54786b2, 0x61131366, 0xd65ca80a, 0x95cfcd52, 0x16c97ae0, 0x48b0b112, 0x056ab47a, 0xa5c3fb52,
+    0x953ab9ac, 0x90571e08, 0x485c26af, 0x83fcb709, 0xcd2af96f, 0x15b5fe60, 0xf22f73fe, 0x2d205da3,
+    0x1b95901a, 0x4b50c1d1, 0x10f337ec, 0x29419258, 0xa2627e70, 0x76457490, 0xe639b7e1, 0xf258fbca,
+    0x812f0d59, 0x9ab7c248, 0x38ff02de, 0x7c00a927, 0x4baf78da, 0xccb00422, 0x8fdc53e0, 0xbe3e0020,
+    0x01229d0c, 0x08e11bc8, 0x08c4657a, 0x54f0a5d9, 0x8e150ed9, 0x785fd5d3, 0xf3a8abe8, 0xf1e35029,
+    0xef0e711b, 0x8bebc16c, 0xaea356ff, 0x2eab6c94, 0x0d11c72a, 0xe1b874a8, 0x204d4731, 0x4f149ad5,
+    0x68106f33, 0x0d7cb631, 0xaa7d324b, 0x0cba999a, 0xf51fffab, 0xd6c71f9e, 0x3611d16b, 0xe8789d71,
+    0x8cb87ce3, 0x43d3b3a1, 0x3079a167, 0x094694a1, 0x70681c9c, 0x144c5e78, 0x8976f053, 0x2535605e,
+    0x829d73b3, 0x149d1eca, 0x2240b9c0, 0xaeee3554, 0x8107dae9, 0x665c0e98, 0x83616807, 0xea439a24,
+    0xffd4a437, 0x41174dd2, 0x6df092fb, 0x3c3b9e8a, 0x275aec01, 0xcca21bcf, 0xbb1327eb, 0x7c518a90,
+    0x67e97f44, 0x08886ea3, 0x07c78239, 0xb09cb367, 0xe7f7b23b, 0xcbdc0165, 0xd41ea88a, 0xeba58fb5,
+    0x00000000,
+    0xab2020b8, 0xeb53a46d, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000110427941548649020598956093796432407239217743554726184882600387580788736 */
+  { 0x00000000,
+    0x9afe1eee, 0x071a8534, 0x0c069538, 0xc96f4009, 0x84385d92, 0x07057259, 0x5ae67c64, 0xa982d7b5,
+    0x3159e587, 0x49af9283, 0xb9f9af0d, 0x155ed00f, 0x7f5ad7c7, 0x62fd44da, 0x3f589c75, 0x3e21b24d,
+    0x507700ad, 0xac08eadf, 0x4f987df0, 0x07c75d5a, 0xc540ea1b, 0xeb36fde9, 0xdb58545f, 0xf383e28e,
+    0x1e68f1df, 0xe3356efd, 0xf2455d10, 0x78115ae7, 0x570e9d53, 0x105f48db, 0x5524a095, 0xf857cad4,
+    0x2ee1a651, 0xcd060c03, 0x52fb9745, 0xce4c2e2e, 0xf825ed65, 0x1947b309, 0x6eb923c4, 0x260a4f9d,
+    0xba77cacf, 0x3cd77df6, 0x4ecd73f4, 0x47490340, 0x0fe17b5a, 0x483eca39, 0x8a89b512, 0xf1be15dc,
+    0x085f8227, 0xb9e3c9b4, 0x349b6833, 0xc2f7bf4d, 0x2291f38e, 0x6ac09f29, 0xcbaea533, 0x4da758b2,
+    0xbfa9c8ec, 0xe36845b2, 0x9bf755e0, 0xc98e0a0c, 0x95580a33, 0xad86df04, 0x85251de9, 0x43908f8e,
+    0xc3db0786, 0x97bbac9a, 0xcbe01fca, 0x549573f8, 0xbe1e8225, 0x5df51245, 0x85e287a9, 0x125c2389,
+    0xb9d512c3, 0x67e16755, 0xc47de468, 0x7fb39b47, 0x68e6f432, 0x3d3e0360, 0xff128610, 0xe623397d,
+    0xd0cfb720, 0xdc86f7d8, 0x0f6602a9, 0x898c40fa, 0x229bb1c4, 0xfc2445fe, 0xec06421d, 0xb980a04d,
+    0xe7d27553, 0xe09d47d6, 0x85173fef, 0x8261924c, 0x0e8f6ff8, 0x02c00e84, 0x071172db, 0xf29559f8,
+    0x6e4f9a19, 0xb386e214, 0xa2eefaa7, 0x9a9dcdce, 0x8f96903e, 0xf41e7f84, 0x05e46045, 0xa1bffdaa,
+    0xee982351, 0x4c7fc865, 0x022ac831, 0x4e729b00, 0xfe860c05, 0xc4796eb9, 0x8f92dcbb, 0x7e1f9576,
+    0x25e6e85b, 0x9b2e6717, 0x97ac5157, 0xe357d59b, 0xed8ff91a, 0xe3869205, 0xbabc88bf, 0x8a14b696,
+    0x15821972, 0x5bf63398, 0x4486ef58, 0x3c93d01f, 0x48d7adae, 0xb0a89923, 0x8e53c530, 0x9adb601e,
+    0x18bdf0bb, 0x51c02fdc, 0x0fe06d4d, 0x780d912c, 0x3f13dfc8, 0x5d09da12, 0x25f000e5, 0x83cdccb7,
+    0x92e4b7d2, 0x31f6a062, 0x3683d75c, 0xdcdc7c2b, 0x1eb4223a, 0x88551f7e, 0x763b0853, 0x740e3240,
+    0xbeb813ec, 0xb5fe688f, 0x3e9d7a6f, 0x98099d9e, 0xa430ab45, 0xd31c461d, 0x92e789d0, 0x2af216c7,
+    0xdad26f98, 0x4bd39b67, 0x9c9f3f57, 0x176d2e5a, 0x9ab5fb00, 0xf9f84077, 0x447c262b, 0x5ec07171,
+    0xfe928025, 0xee5b9d39, 0xd9d8ccc0, 0x4c31fe65, 0xa66d32f8, 0x9f592305, 0x522994cb, 0x0e9b3c2c,
+    0xe7797e4b, 0x1937187f, 0xe480b1e0, 0xf8d40281, 0x8021ba4f, 0x90bba90e, 0xcd743c04, 0xa9a0cb1a,
+    0xc1a61653, 0x215b1081, 0x2279073e, 0x4a176796, 0x7adad75f, 0x1d550735, 0x8db6f0b8, 0xe8ec8b6d,
+    0xc66b99ff, 0xd118d972, 0xec0588d2, 0x691d4135, 0xd8294c3d, 0xd0327c42, 0x6b12e04b, 0x819e35c0,
+    0x3c0e67fa, 0x8fbb7c6f, 0x276c8319, 0x167c7832, 0x29b901b1, 0xa30f8647, 0x0b75735c, 0x91a80b4f,
+    0x42d1179c, 0xaa5fb279, 0x32c9ed97, 0x8de5d362, 0xc14a3e88, 0x041eed96, 0x40896cc0, 0x1872634f,
+    0xd0101368, 0xda03cba9, 0x865ab529, 0xdda011ce, 0x05eea5b7, 0x2ef72467, 0xe882bbc4, 0xaba8609d,
+    0x1db73050, 0x3c23be8b, 0x7e4cd779, 0x3f338234, 0x591f72b6, 0x92ed50a7, 0xe9488f09, 0x11f07907,
+    0x821c137f, 0x66b1801a, 0x595c17e4, 0x412efb83, 0x57fb56e5, 0xc5e688ae, 0xe1ede2be, 0x8b239ba3,
+    0xaefeb9c5, 0xc928ed5d, 0x1e779b55, 0x39ce7428, 0x9ad5d695, 0x814f4029, 0xf07bb8f1, 0xa59f1628,
+    0xe22faffa, 0x40358766, 0x833bcf82, 0xeb2ea9fc, 0x4e950e23, 0x0bebc28c, 0x99c4a25e, 0x89b9cd81,
+    0x1e921c51, 0x145178a4, 0xd7f9d0d6, 0xf4cb2a72, 0x8f6d30ad, 0x9ba6782f, 0x9981ddf8, 0xb52fb880,
+    0x96cecfdc, 0xdd93691c, 0x7d9bd3d4, 0xbf3b204e, 0x14cec511, 0x93d85076, 0x42bd05f3, 0xd3faa7b0,
+    0x400acd1d, 0x9a6f2531, 0xd8f08414, 0xff430a99, 0xb070251a, 0x6c225622, 0xb822215a, 0xbb27b143,
+    0x7b549c40, 0xf492856d, 0xbd44712a, 0xbd9ce615, 0x073d6eb0, 0xe873632e, 0x7002003a, 0x79789e3a,
+    0xc2eb7309, 0x1041ac7a, 0x575a7681, 0x511481a0, 0xbe4bacac, 0x86df6715, 0x75248938, 0x7b6f06e7,
+    0xdd35f24e, 0x75d8f753, 0x876e4afc, 0x25a2cd38, 0x94ca5999, 0xd69ce868, 0xe82afcd0, 0x9e693cf3,
+    0xae35aec4, 0x68c10453, 0xbdcd195f, 0xc9f46d72, 0xd207ed30, 0x2c0642a9, 0x3b7aa406, 0xe3762027,
+    0x2b5ac87e, 0x1ee60666, 0xe07b96bc, 0xb3179693, 0xf075a0d4, 0x59b41013, 0x399984eb, 0xfb23a08d,
+    0x7dccbdd5, 0x96d8b331, 0xe56e0842, 0x58e3f24a, 0x0ddb6ccd, 0x3b4d75c5, 0xa2c050de, 0x5a6141b4,
+    0x6683e9cd, 0xf280380a, 0x27dba5b7, 0x622867e9, 0x29eca57a, 0x4428c264, 0x9e89f03b, 0x9cce9ef3,
+    0x498561e7, 0xb2ddc6ac, 0x01475a7e, 0xb3504733, 0xb8ac466a, 0xa4c75e7f, 0x2f519924, 0xbf3c7bc7,
+    0x69bc5d2c, 0x4af43147, 0xf991c6de, 0xb698546d, 0xdd1bcaab, 0x8c2c2003, 0xeac4a800, 0x72e7f612,
+    0x74be45af, 0xfac14a59, 0xbbcd4fec, 0xbb9c9e24, 0xc387e32c, 0x49633f6f, 0x88e59601, 0x331e6cc5,
+    0x3e341e2c, 0x5d9a3c83, 0xe84e4288, 0x47d05c6a, 0x1e169c8f, 0xd6710160, 0xf6fa695f, 0xa046b6a7,
+    0xa7ee2105, 0xe1c377f3, 0x87d0d7a9, 0xa2999a9f, 0x2483bd90, 0xcba0d00f, 0xa6fa9831, 0xbccbb389,
+    0x083b7dbb, 0x9c96a7db, 0xe7921a28, 0x831ef229, 0x81676cf3, 0xf29c1c1a, 0xd000cea2, 0x60eb7786,
+    0x9a66aa89, 0x258687da, 0x39d6e8f1, 0xfaac1c01, 0x299c7304, 0x33cccdb1, 0xa9370d4f, 0xd4e873f2,
+    0x0709fda5, 0x8e0aef26, 0xb08e62cd, 0xbe6a1650, 0x6b9ec112, 0xb5af60ed, 0x2408fbc9, 0x3256f031,
+    0x79de3807, 0x0b94f628, 0x6c19a057, 0x190cf507, 0x3c6a30ea, 0x325f9736, 0xc84e7961, 0xbc364014,
+    0xc7a04921, 0x6fd0405b, 0x76d61bac, 0xa50b2f24, 0xa8945927, 0xf72bdc3e, 0xe5774e80, 0x90eb9e0e,
+    0xc97b8843, 0xe6b6e96f, 0x2ad4e3b3, 0xba570d89, 0x5a2873be, 0x8071ca86, 0x54f357f2, 0xcb9a08f2,
+    0x4311e0b0, 0x8678e49b, 0xb2cb3d68, 0xadad25c8, 0xb6d3dfd2, 0xfee7341d, 0x1f37a1a0, 0xb093bfe7,
+    0x742d1323, 0x92d6ac47, 0x2b3969e6, 0x75f563ad, 0xdbba269d, 0x52a4046e, 0xdb3eba48, 0x0d680703,
+    0x5acf661a, 0xee845fca, 0x94fdf207, 0xb48e43e9, 0xcc350403, 0x1ada16cb, 0x166122a0, 0xe0fc4baf,
+    0x24b8a9a1, 0xb471f3cb, 0xd727520e, 0xf2383582, 0xbd29eb5a, 0x49473a0c, 0x2a254333, 0x32feb57f,
+    0xeb2edd54, 0x6896a9df, 0x79b9b400, 0x5d42f1ce, 0xfc69f9b0, 0xbee30117, 0x35d29dc5, 0x723b1b54,
+    0x25fa9770, 0x59eaf4bb, 0x5f8bf847, 0xd68c88f1, 0xfb7644b4, 0x07bd8d85, 0x6bc544a9, 0x51936d62,
+    0x73541f94, 0xbf5a3b35, 0xd2eda052, 0xc685ac3e, 0x2e61b72e, 0x85c06234, 0x7d63ba7d, 0x26f6e019,
+    0x93fbff8a, 0x63b17184, 0x32825e80, 0x2b839c12, 0xd4f288f6, 0x00a56ce7, 0x22abdcaa, 0x627c6f0a,
+    0x60a8b6c2, 0x589756ab, 0x98c85f1c, 0x6532b742, 0x5bba1542, 0x8bd18c42, 0x55c997c6, 0xd51deec3,
+    0xcf4b1666, 0xe8220884, 0xa00b9ea8, 0x5b6a546c, 0x692873eb, 0xaa8f879d, 0xea6c13a3, 0xaeea4e3b,
+    0xe3b7cc1d, 0x34e55958, 0x4145994c, 0x6c304674, 0x0996fc59, 0x002f2f58, 0xc6d7dfbe, 0x43e5d3e6,
+    0x18ff7bf1, 0x4df2b6ff, 0xdc281b14, 0x7ef8d659, 0x9be9f886, 0x854cf45c, 0xb6cbb230, 0x000133b1,
+    0x75b44bfc, 0x9e8eff16, 0x7cfb595f, 0x4c632977, 0x1fa0607d, 0xd08433b4, 0xf53a6063, 0x746fcb2c,
+    0x8360ab47, 0xca199a22, 0x84074472, 0xff15bf84, 0x6d7286a1, 0xd0b18022, 0x67e405ad, 0x3c6b2be2,
+    0x058ac655, 0x913895af, 0xb643d556, 0x37aa825d, 0x7ef72852, 0x21866139, 0x1def37a1, 0xebefc38c,
+    0xef83c331, 0xd4fd928c, 0x92f389a3, 0x7b7985f8, 0xf36a0872, 0xf74ded33, 0x62d9e2f7, 0xed0ec5b0,
+    0xc65cc5a2, 0x6db9d8f7, 0xe02444d9, 0x055bc99e, 0xf4dc319d, 0x16aef718, 0x7296f319, 0xe3e10cd8,
+    0xbea98908, 0x1b104121, 0x3d1f4384, 0x3dbb1098, 0x2161f4ce, 0xf25b36fd, 0x91622682, 0xbfe0f7de,
+    0xcbc74b9d, 0x0af8f65b, 0x2cbfdf93, 0x9a6571d4, 0xfa7965c8, 0x8ead4e6e, 0x1352fbf7, 0xa4a87323,
+    0xd58252e6, 0xdebf3359, 0x590e6919, 0x46746f12, 0xfd47edcd, 0x44fd87b2, 0xda6301a0, 0xb196b0f7,
+    0x63b07068, 0x2e836e2e, 0xa4897312, 0x64ec26d9, 0xf3417e2c, 0x37326080, 0x56c54ce0, 0x5efe0b24,
+    0x42acaef1, 0xa26960fc, 0x7f460b39, 0x40b87201, 0x88c22c4b, 0x79f722b9, 0x3ba2e482, 0xd69dded1,
+    0xef582581, 0x3314456f, 0xed571596, 0xe22d5a71, 0xf46d2614, 0xc1c06202, 0x910b31eb, 0xe0b8645f,
+    0x9b3195d5, 0xb83d9b13, 0x5392da91, 0xa2582e9d, 0xa82c25ef, 0x74362918, 0x6deeac5b, 0xa57219a5,
+    0xfcbfc05a, 0xed810800, 0x15c47c6d, 0x7a24ceca, 0xda1a361a, 0x7e83ee76, 0xa1c14001, 0xbe1f32b7,
+    0xc4ccc2b0, 0xe951c3ef, 0x09f040cb, 0x2a4ee4e4, 0x92ae24a1, 0xa01ae1f6, 0x0cfb871d, 0x3a5177f4,
+    0xd7cf9a8b, 0x1009c21b, 0x7675a648, 0xe6b6e5a1, 0xdc95e6e7, 0xa22f09a7, 0xc5793eea, 0x04c401a8,
+    0x6697c899, 0xe69cfffc, 0x2126889e, 0x7e0a8578, 0x471ece02, 0x22d2f01b, 0x349598e1, 0x868885f9,
+    0x42314461, 0x937aad65, 0x6888d964, 0x33c92b67, 0xf8afe842, 0xb71b7813, 0xbbf6a1ad, 0xea6316f1,
+    0x4b971923, 0xd064d8c8, 0xc712ac91, 0x70577c18, 0x1707e44d, 0x4c7d6651, 0x0ffc6876, 0x1689e753,
+    0x45cd6c8a, 0x47aa3082, 0x1714ff25, 0x7d4a8d09, 0xcb0b8a91, 0x5b8b522b, 0xdbd4a0a0, 0x3a32b77e,
+    0xa97a43fd, 0x4ceaefc7, 0xab692a0a, 0xb8511e26, 0x5ad4b3d3, 0x20c8350e, 0x7b0a45a9, 0x9b32ddd8,
+    0xfeec4bbc, 0x038abce5, 0x1d449ad9, 0xcac61ce6, 0xd19b68a0, 0x892cbc13, 0xa69521f1, 0xa043c3d1,
+    0x9d69f5dc, 0x0768bd18, 0x078a1c89, 0x148bc3d0, 0xa8cb4d75, 0x63e51b5d, 0x6220d015, 0x8f3704d1,
+    0x995489b5, 0x50abdb18, 0x4bdead8a, 0xc47381de, 0x7f70f44a, 0xf595a10b, 0xbe9d6182, 0x0e7bb6a6,
+    0x24f1fd02, 0xb4d030a6, 0x230f005a, 0xb07ebd87, 0x6aea8b3e, 0x9c76de1e, 0x0daa070e, 0x989effcf,
+    0x93d2cbeb, 0xef5bbd14, 0xafe52a33, 0x49a48ed7, 0xc89cec19, 0x8b9f7350, 0xada932e2, 0x77227be6,
+    0x1634a050, 0x3216815c, 0xd5cc51d2, 0xb3453985, 0x6d66a626, 0x8f20a57c, 0x438c66eb, 0x2cbca67c,
+    0x3e5106b9, 0x0f75586d, 0x03a7c9ce, 0xc6e0bd55, 0x619ddda0, 0xb6b25927, 0x1791ed01, 0x5cdf8424,
+    0xe1520055, 0x7c521060, 0x9459c630, 0xd0ee29b5, 0x283fb98b, 0x5e223460, 0x52a14a68, 0x020b704d,
+    0x8b729cf5, 0x4468de06, 0x7faa0d13, 0x5d457f81, 0x2bd205ef, 0x65c85f05, 0xb542d773, 0xc85cd3ff,
+    0x2652f3ac, 0x9bade7be, 0x9bb369f2, 0x616f9b89, 0x669c7f13, 0x3fc8a642, 0xd519e1da, 0xf3511120,
+    0xc9221de2, 0xcf808d4f, 0x1e493aef, 0xb7ae2b47, 0xe58c3a7e, 0x600cf1c9, 0xc2f7bdd8, 0x6456b195,
+    0x41580b67, 0x7963a000, 0x5db5d4f4, 0x8dc22376, 0x08902c89, 0x758ca23c, 0x9088dc54, 0x249250b7,
+    0x52089e60, 0x5924ca83, 0x81ba35c0, 0xedd1ee61, 0x56e71191, 0x03b83088, 0x133401f9, 0xad642abc,
+    0x0b390ea4, 0xf143ff07, 0x93fc7571, 0x3eca0879, 0xe99ef82f, 0xe21bc045, 0x5402ecb1, 0x241d654d,
+    0x94693e61, 0xd490c881, 0x1e4e03d3, 0x259ed50d, 0xbd2275af, 0x29479b77, 0x4a0101ba, 0xd0fe6488,
+    0x30417141, 0xd93c9751, 0x83716997, 0x033b10e3, 0x1f2adf16, 0xe908bade, 0x9b03ae0c, 0xb9cb011a,
+    0x1806289c, 0x90190ddb, 0x9e731976, 0xecaeceee, 0xc8e6e6b3, 0x475ab04e, 0x364bb8fa, 0x2069a7b8,
+    0xd53ad19b, 0xc25f4405, 0xbb2fb19a, 0xbe018c51, 0x9a48fe70, 0x77479649, 0xb0be44dd, 0x9828024e,
+    0x35c892e2, 0x201a7756, 0xd04e2ee3, 0xb5f0350e, 0xfd4a25a1, 0x8b2061f8, 0xe855b684, 0x6c48c9d1,
+    0xf37405ce, 0x43847388, 0x93cc9ee9, 0xcfadaa50, 0xa76a1559, 0xe163ff36, 0x315b8ad7, 0x3d8fdf05,
+    0x5bfb73c5, 0x1349871c, 0x94d5b248, 0xd4d297da, 0xeae649b1, 0xa3ecca30, 0x685f5806, 0x4f1f9df7,
+    0xfe73de82, 0x3801e2da, 0x3d524f54, 0x01a1438d, 0xd986d8be, 0x7511a84f, 0x118fb33e, 0x0a86827b,
+    0xcd3aabd7, 0x528bc054, 0x9fc8fd63, 0xc0346130, 0x857fbdea, 0x4e63621c, 0x0e5d8e59, 0xf956ebc1,
+    0xdd36b5ae, 0xc4381149, 0x68f12cbd, 0x4e3ec7ce, 0xcf8fb684, 0x5a1d7534, 0x5aa80fb9, 0x372010ed,
+    0x4a4adac2, 0xb31c252c, 0xafbf3f39, 0x1178158f, 0x68d4ac36, 0x57371fa9, 0x7716eb9c, 0x92e89a84,
+    0x459f5e0d, 0x7c9676b7, 0xde4c7df2, 0xedc3f409, 0x6cd3ea37, 0x4fa716b7, 0x4e7ab9ee, 0x24d55e45,
+    0xee94d9e7, 0x76d11abc, 0xa1113af7, 0x47807c2e, 0xb7d83079, 0x96a0837b, 0xeffed101, 0xf621f1c5,
+    0x7427d1b5, 0xace501de, 0x2bc2f606, 0x14aac413, 0x0f67856a, 0x32056703, 0xe8cc19d9, 0xf3297518,
+    0x5ea6860f, 0x3a5a2cbe, 0x778a22b4, 0x36d1d69a, 0xce490059, 0xada44240, 0xac59925d, 0xeab53470,
+    0xb3f6a4e1, 0x21283b02, 0x55ea1b89, 0x43a815b7, 0x2fd48577, 0xffdbbc91, 0x00b3c2be, 0xe021492e,
+    0xce2585f5, 0xae460cb3, 0x728da575, 0x7635e0cb, 0x9bc0a7f4, 0xd3138a83, 0x751fc196, 0x83c417d0,
+    0x836897c7, 0x1e5e7d10, 0xcba2ddb6, 0x1a438dff, 0xd11a4160, 0x5cf060d3, 0x9e25ec69, 0x20655848,
+    0x75b91cc8, 0xbcc5eea3, 0xfb5bfd33, 0x6b1dbdc8, 0x44ec28b0, 0xcfe8cee6, 0xbd53dc8d, 0x82cc906e,
+    0xac00f6fc, 0x580a2066, 0x2f978bca, 0x7defdcbd, 0xc3ad0d7a, 0x99adf33e, 0xd1a05268, 0x3a498f6e,
+    0x88f9e501, 0x875a4092, 0xf2c9943a, 0xa82628e8, 0x28e682bf, 0xa555a725, 0x4acf7a3e, 0xee9a9ddb,
+    0x369a50c0, 0x33ce4040, 0x92d91138, 0x0a8b9691, 0x37f9498b, 0x59e163b6, 0xc9d3d7b6, 0x6fa1d6f3,
+    0x45dff41a, 0x06ed059c, 0xc3120dc9, 0xcb2be4c2, 0x195e70d9, 0x6dff391b, 0x52c886f7, 0x44adc882,
+    0x55c755f0, 0x9e48c2bf, 0x0748320f, 0x4998df26, 0x137c834a, 0xdeab070e, 0xb9dcce3c, 0xa99d2eb6,
+    0xfe15fd11, 0xa3aa482c, 0xc891cd90, 0x31a80564, 0x4aea7bbe, 0x8827f96b, 0x82e9c5ce, 0xc9c84029,
+    0xca64ba77, 0x77191085, 0x71974236, 0x39232bd0, 0xdf790631, 0xcdcd0d3c, 0xdd98198a, 0x61d9d0d8,
+    0x358d02c7, 0xd6d997da, 0xb9ce8467, 0x5e91c862, 0x0d8f3ec9, 0xa2ef6120, 0x9f0cc3cf, 0xc11ca22e,
+    0x53aa42d9, 0x1cae5a14, 0x73e7c4fc, 0x3dde6a0b, 0xa0805e6f, 0x15ecea8d, 0x6c5be1ad, 0xf59cd4f7,
+    0x00000000,
+    0xd590105b, 0x75a9d236, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000055213970774324510299478046898216203619608871777363092441300193790394368 */
+  { 0x00000000,
+    0xdc7fb83e, 0x6148970b, 0x4ca78c83, 0xcdd3b490, 0x574d1797, 0x2ed0a56d, 0x2875bf83, 0x3b2bdec6,
+    0x157547ab, 0xe416effb, 0x50acd7d8, 0x9c5e4817, 0x43d71c8a, 0x055edba4, 0x8f5cc4bb, 0x3002e6b5,
+    0xef249653, 0xa4da7bdd, 0x08bd3cf2, 0xe74df278, 0xb09940c6, 0x04d44881, 0xf49dbe8c, 0x66110142,
+    0x600b9781, 0x394e06aa, 0x8cc95d86, 0x657f6b62, 0x0e4f267f, 0xd3ccd344, 0x6dbdc9e8, 0xd90fa372,
+    0x1a6268c9, 0x481c1e6d, 0x96bd623a, 0xabee1d10, 0xad2ccff0, 0xc6831f76, 0x8fdb079d, 0x407b279d,
+    0x1618381a, 0x69e1d1e3, 0x6361bf7f, 0x42e973db, 0x66daf85e, 0x34e5e5f9, 0x4682ec87, 0x2d96a453,
+    0xe7eb91b8, 0xe5d1aee7, 0xced1ee2b, 0x1e2d3305, 0x7d02954c, 0x7674b9ab, 0x7659a9bf, 0xbeba723c,
+    0x418c7443, 0x186e6a30, 0xe475f28f, 0xa53d06cb, 0xdcf49960, 0x34fa773e, 0x9626ba3c, 0xc45074fc,
+    0x5ac7a95e, 0x516025bc, 0x2eafcc29, 0x1d6c971e, 0xbc61d54b, 0xc9fa7ed3, 0x7631e2b2, 0x9038f68c,
+    0x09641413, 0x50bc63ae, 0x8f09eb29, 0x2ee348c3, 0x3c1df6fd, 0x70714a79, 0xc26a995f, 0xe32ba5fa,
+    0xdcb98a4b, 0x5f231728, 0xee0c0a85, 0xfb4a4960, 0x35a62014, 0xb6061f0b, 0x137c9b27, 0xdd8675e8,
+    0xe36d410e, 0x2efda574, 0x9e70b57c, 0x959c1daf, 0x3f1eb3ce, 0x044b9fe9, 0x7b0cd0c1, 0xd9044b68,
+    0x474e371a, 0x473aeeb2, 0x6e1fe590, 0xff672116, 0x7bf76b15, 0x9087b1cc, 0xba726ca4, 0x52fe6249,
+    0x603c747d, 0x9fa8326c, 0x1f0f1e68, 0xc090d737, 0xb7a76e8e, 0xa9f1a3f9, 0x71e60cdf, 0x3eb8627c,
+    0x4203cb7f, 0x4e9454a8, 0xa78b45d3, 0xfc4543b1, 0x04b39083, 0x2e653247, 0x05c507d7, 0xef5c796a,
+    0x89aed998, 0xe253a194, 0xbc56b9fb, 0xd404ce14, 0x55920cc7, 0x5421bb67, 0x5a4475ad, 0x2f140fe0,
+    0xc79315f4, 0xcd2d03c4, 0xd4f7d4bb, 0xf11a93a8, 0x5789f44f, 0x6c03924f, 0x737427df, 0xebba43bd,
+    0xd55ba550, 0xec856763, 0xaf8615ec, 0x348c15ec, 0xf01cc1e9, 0x60342b1a, 0x3698e572, 0x5145f8e2,
+    0xd884324c, 0xa8470a2c, 0xa517f9e1, 0x007f4978, 0x67ef68df, 0xd25821f1, 0x5cff41d9, 0xd50abe0a,
+    0x0562fa9b, 0xda6f16d2, 0x499ddab5, 0xfa4df043, 0x5e06bcf4, 0x0d9b92a0, 0xd2557bf9, 0x5a114d3d,
+    0x14100628, 0x220a973e, 0x6f778f41, 0x20217acb, 0x2ba147e0, 0x8a4ac2ec, 0x3ba434c0, 0x28cb3993,
+    0x549e5235, 0xd7343503, 0x334f2115, 0xcee18094, 0xd129f73c, 0x0f0d5dd2, 0x0111b65c, 0x75789636,
+    0xb924e1e6, 0x07fdb8e3, 0x88aadff5, 0x6f871a17, 0x79e430b2, 0x223eed4c, 0xd5b9f398, 0xe482cee0,
+    0x288f9e6b, 0x3b532414, 0x3c1127f9, 0x6ac14f99, 0xc67606fb, 0xed857165, 0x88b8ee56, 0x0c4d0569,
+    0x897e0e1e, 0x78dd7a43, 0x62a8a4f0, 0xd44de639, 0xc1df61be, 0xa185ef1f, 0x7206c372, 0x1abda0d6,
+    0xd6bbe375, 0x1c45bdc4, 0xaa37fcd9, 0xbe6331af, 0x1ed2e2da, 0x2b0562dc, 0x566ceede, 0x152d7dec,
+    0x77a41c1b, 0x9f4125a6, 0x3f7daacc, 0xa0a1c692, 0x6e15075c, 0x07968167, 0xc0ffff97, 0xf1387ebc,
+    0xe8f28254, 0xfc1cedd7, 0x543efb8d, 0x5af42059, 0x7a12b7fd, 0x371174c8, 0xd2f95af9, 0xef803f0a,
+    0x0c461518, 0x52daa060, 0x1b36e2c2, 0x8e8ba9fa, 0x8cdd77e7, 0x01bb777f, 0xe7c30adb, 0x4d31e031,
+    0x2544443e, 0x4a8de8d3, 0xdc46247e, 0x08e2f9e7, 0xc1e31bb2, 0xa509f2ed, 0x7b1920f9, 0x638e4cf6,
+    0xa0a57d3d, 0x286e48a8, 0x1c2cb57a, 0x37febf0d, 0xe4b02710, 0x38f827b8, 0x47ee37fe, 0x792ca330,
+    0x3eb43a02, 0x8aae1f5c, 0xb2998e22, 0xc7cf0b41, 0xfb20b767, 0xc691ce2a, 0x16cb157a, 0x6c57fd8b,
+    0x72062a4e, 0xc7c5d66d, 0xf520e51b, 0x5928582f, 0xc5e4c979, 0x44c0d7ec, 0x3d27b331, 0x45f97601,
+    0x3ece9802, 0x60263880, 0x4f85ff98, 0xa2e44e19, 0x4b4634c7, 0x72c8eeb6, 0x8576c401, 0xdac2caeb,
+    0x2c006352, 0x6e3e5d9b, 0x640e699c, 0xfdb6364e, 0xdd14bf2d, 0x61cf2e62, 0x0933a132, 0x7b63d15b,
+    0x0c44d955, 0x26bfe509, 0x840f6d8b, 0xe1734ffa, 0x98a383a0, 0xd139de0b, 0x28942f1e, 0xcab4daf8,
+    0xdb39dad9, 0xbb7cfa9f, 0x627e8ade, 0xaadcb471, 0x1cfc7680, 0x72ee2bd1, 0xb30039cc, 0x7c754600,
+    0xe9b39adb, 0x96fccd1d, 0x391957ab, 0x9070ce4e, 0x6326a6c3, 0x2fcbf6d2, 0xcb67e539, 0x9ba95a01,
+    0xadb23aa1, 0xb67d61bb, 0x74cbe13d, 0x2095a13c, 0xe9e41cc6, 0xe5a0c140, 0x301aa573, 0x1bf9dcbb,
+    0x211c828a, 0xdd86b22f, 0xf141a607, 0x8a796916, 0x56497c59, 0x96a66e1c, 0x17cf7fd0, 0x439fb622,
+    0x395c146c, 0x0208d25c, 0x6a0b7bc2, 0x26c5a278, 0x54c53ac3, 0x899914cd, 0xcf8334aa, 0x70496430,
+    0xf9e6a81d, 0x7c37dd25, 0x0bbce0c1, 0xc7545826, 0x55633547, 0x262ac19b, 0x0d5bbf81, 0xefb2ab62,
+    0x6f1b6c43, 0xfc73f911, 0x2696c635, 0xfd15dd3b, 0x3a9b0fae, 0xa4982a6d, 0x5f5d73e0, 0x50f066c0,
+    0xaa75697a, 0xc93e5310, 0x63ac0489, 0x978b2cba, 0x3e2e06bc, 0xcae93e6e, 0x23731eb7, 0xf9f53464,
+    0x07101256, 0x3d31aa13, 0x958bd7f6, 0x17bc6621, 0x975e1b26, 0xfba207a6, 0xaa51f262, 0x5744fe0d,
+    0x3aad6889, 0xb6352cdd, 0x2b9fb451, 0x0f500d3a, 0xaa88c775, 0x09a5f22f, 0x583c1d1e, 0xd0441f0e,
+    0xa269fcfb, 0x584ab1dc, 0xd8db1a38, 0xcd52a101, 0x1bb9dd64, 0xb4092a57, 0xf399914c, 0xf7e5b88d,
+    0xef07d063, 0x17fed1f8, 0xd1d82074, 0xe531d9fd, 0x3505bc30, 0x4f5fd0d5, 0xa5c0b2bf, 0xa269f0d2,
+    0x95fd3c0e, 0x75ed9dc2, 0x4aa3bd8e, 0x62927c7e, 0x1a5e1e9d, 0x506f9fca, 0x10f6ec22, 0x58b4f927,
+    0xacddbf69, 0xfd5246df, 0x7b800e0f, 0xcd5ea053, 0xb104ee8d, 0x54da91eb, 0x3d3db41e, 0x4ce37bd1,
+    0xeb558a47, 0x5288253e, 0x290a5324, 0x405eefb6, 0x73c8995e, 0xbab76d7e, 0xc76c0615, 0xc6e588c7,
+    0x105e375c, 0x8e6d5477, 0xd8b56472, 0x4fb05fc9, 0xc12654ce, 0xd0509293, 0x8ae6e610, 0x4681e46c,
+    0x6dd05be3, 0xdd713857, 0x0f607237, 0xf48c7bd3, 0xde7ca137, 0xcc41c79a, 0x92d608a0, 0x163f8e18,
+    0x156a08de, 0x7a13a32f, 0xf4e9b108, 0x49c88ca9, 0x67ebe991, 0x54375950, 0x039131e8, 0x87b61389,
+    0x1e52047c, 0xb5bfc507, 0xdf89fd31, 0x26edd85f, 0xa13461f5, 0xdc5cee45, 0x2015b9f3, 0xc0cd3e07,
+    0x742b14b8, 0xb098dd10, 0xae7562db, 0xc6cae776, 0xbcc244af, 0x52959e1d, 0x3fb7f352, 0xf6947e6b,
+    0xb5b405c4, 0x78d8e4ff, 0x3a69b222, 0x38195812, 0x3fc387d0, 0x5490dc2b, 0x69917a1e, 0x2de826e2,
+    0x11e09ae7, 0xa3bf243d, 0x160ee147, 0xf3a1bc48, 0xde4f25d3, 0x12b730cc, 0x5250479a, 0x6b551784,
+    0x1cf42ffa, 0x0f5ed926, 0x7eb96214, 0x75744dac, 0x08595e2b, 0x453e874f, 0xc2390079, 0xe0e4e4f6,
+    0x51965656, 0x609b27ca, 0x72fe5704, 0x530ff90e, 0xd7c5252c, 0xe9437802, 0xbc632464, 0xcdb4a126,
+    0x1bec0b87, 0x7061dfdb, 0xf81f306c, 0x543f2454, 0xa3449484, 0xb8645417, 0xef865e1e, 0x0900fb85,
+    0x62afe2cd, 0x9f130e79, 0x51ef592e, 0x9b755318, 0x9d8cade1, 0x4d186409, 0x8660e04f, 0x1ee5fdeb,
+    0x34caaa17, 0x678ae8cb, 0x88a5d161, 0xf64a856a, 0xe79f6764, 0x1ac19acd, 0xc1dc0cf0, 0xbb33102a,
+    0xe98744c2, 0xfd26f94d, 0x2abb1822, 0x7463638f, 0x07733723, 0x9fc0c72a, 0xcd1f9325, 0x0b16e2c8,
+    0x2bfe102a, 0x74bb4ce3, 0xd0f15807, 0xc55402e4, 0x64112f07, 0xfc6b1ef5, 0x7700bcbb, 0xc45b09ef,
+    0x34c0f012, 0xa02abc09, 0x53701b4a, 0xb86dcce3, 0x9ceed772, 0x14bd5702, 0x13ac4dad, 0xb1ad9bd5,
+    0x889a2e3e, 0x5a9453f0, 0x769e7daa, 0x5be01ce6, 0x30951cc6, 0x7aa7d0ce, 0x8da1a066, 0x474e5295,
+    0x8f666741, 0x331bf03f, 0x70fb8807, 0x2b76153e, 0xd69a96ee, 0xd8995728, 0x1ff4aac6, 0x51a82815,
+    0x31c2ebaa, 0x748dd65c, 0x69a93a47, 0xc09ba299, 0xb6df4d48, 0xe35600e6, 0x58eee1dc, 0xe8e9cdc0,
+    0x64253854, 0xd1f9ea88, 0x3d586861, 0x543ec474, 0x19e8fbd2, 0x88c113f2, 0xa6ac6dcf, 0x2b362722,
+    0x2c9c1d9a, 0xac99556f, 0x338c1e93, 0xeea33929, 0x21f3bf13, 0x3df075e7, 0x0813329f, 0x0a8f3cd6,
+    0x3267dc0f, 0xcc5a5468, 0x38e0f626, 0x4c7ba455, 0x48918da7, 0x1f08038c, 0xae579919, 0xc74bee7b,
+    0x6e5998ad, 0xb880e10f, 0xf726ada2, 0x8c0c3461, 0x702f1bfc, 0xa469c902, 0x256b52e2, 0xe67dce8c,
+    0xaa8b1847, 0x9282618f, 0x3f4597ae, 0x9e8a46bc, 0xc74b7633, 0xf6b46d45, 0xd148e1cb, 0xa25940bf,
+    0xc6b1a0d3, 0x47c96773, 0x951c49ad, 0x8413ff4f, 0xebe50f5c, 0x6d37e3b2, 0x76449865, 0x52b89d98,
+    0x9270c242, 0x76310c28, 0xd2f6d68f, 0xa9d94f4e, 0xb5650d51, 0xf9bf94d1, 0x0fce48d1, 0xb9f5d345,
+    0x06e55a9a, 0x2e2e6f6f, 0x21de0815, 0x30f05f3d, 0x52c32b31, 0x41ccc992, 0x9c306257, 0x6f9abe53,
+    0x212900ec, 0xa5957753, 0xef39064d, 0x0fd54884, 0xc2a6b448, 0x72bb3a69, 0xa6625221, 0x27a58d79,
+    0xd765db32, 0x018c2628, 0x277d8a80, 0x605faa5f, 0x0a40c025, 0x3bf85ec6, 0xeac6cbd1, 0x090c283c,
+    0x8ddff756, 0x2c021a82, 0xfd4ffefd, 0x3dafad2f, 0x41e65c07, 0x38303ca7, 0x6dec55a7, 0xead18d1f,
+    0xe4b3a9f5, 0x7e893678, 0xb6c015aa, 0x29e7a180, 0x9be20185, 0x1e4dfb47, 0x1cf47e93, 0xd3cd18d2,
+    0x2735bf77, 0x1dbd6a29, 0x2858515c, 0x8457407a, 0xcfba630b, 0x0b1dfd92, 0x3241f200, 0x5bed89ed,
+    0x1b92387b, 0x7f4c7ae6, 0x348dc4d1, 0xe47dc479, 0x94b614ed, 0xf0137d6b, 0x940ffc29, 0x74e6cefb,
+    0x84b4b4a7, 0xa641442e, 0xa78f25d7, 0x21e03e9e, 0x35eec846, 0xc70a77fe, 0x847cb68f, 0xb2e4c6ca,
+    0x224e05a2, 0xf92a69b0, 0x4f44f5a4, 0xc745e118, 0x2ddda347, 0xf510cd5d, 0xad5a4cfc, 0xa168e92d,
+    0xc8717224, 0x5b981cf8, 0x5ca45809, 0x5784d14a, 0xe8d4c4a8, 0x710e576e, 0x5ecc7e8a, 0x2995bb98,
+    0x0f3b136b, 0x07f089c6, 0xc8db723c, 0xd0a0f66d, 0x6be26c1d, 0x46cb220c, 0x883b59f2, 0x4b06c3dd,
+    0x0bcb7c16, 0x21db2b76, 0x55732d38, 0x00051d84, 0x93b98a3e, 0x19e16e0c, 0xc91856e6, 0x53064ca8,
+    0x6f847b1c, 0xb769aec1, 0x2918e79b, 0x81e0b085, 0x22988c83, 0xefdc6ef6, 0xd2b1c2b3, 0xb4ef1daa,
+    0x1235b901, 0x24411254, 0xb6ad48d4, 0x90fa25c1, 0xaac09db7, 0x3254b0f7, 0x10ba8b22, 0xe0966d4d,
+    0x07279152, 0xaac4b0a9, 0x9e507809, 0x6fd1964e, 0x3829e40e, 0xd8febc7f, 0x38241890, 0x08f28ec6,
+    0x4ded9d34, 0x5f1a1ee5, 0x1cc1b14d, 0xad8d2cf8, 0xb32e26ee, 0xeb8758e5, 0x3c65f0e3, 0x93f23c66,
+    0x32afc02b, 0x46d8afb7, 0x74e055f7, 0x4608a583, 0x9528cfdc, 0x92bc1ec2, 0x512bcab8, 0xb76bbff2,
+    0x07dcccf3, 0x2440f3f7, 0xb98619e4, 0xa2c36233, 0xa525eab5, 0x72d3dfa4, 0x226a2cb5, 0xf321c083,
+    0xf9809625, 0xa75d8141, 0x7b626c82, 0x7c892f80, 0x05f398e8, 0xc061eb57, 0x9e3c97d8, 0xc23c74a2,
+    0x800ea2cf, 0xecacb58a, 0x2ded314b, 0x9290f7c3, 0xa87e1636, 0x86eedaa6, 0x397192f3, 0xc03ac13c,
+    0x6f70e8c4, 0x8d352c2f, 0x70bfb539, 0x7e7277ed, 0xd43edf6b, 0xf9e18e98, 0x665d686c, 0x3ca27116,
+    0xf32b3b0a, 0xf5b48ae4, 0xa8b21b88, 0xc9e5d75f, 0x1b3305d4, 0x95425602, 0x29f00586, 0xd5380741,
+    0xb8d26e9b, 0x2f5082e9, 0xb72dfb6a, 0x75f08e6c, 0xf8862b7a, 0x9dfbfb04, 0x3003f8a1, 0xa28abf4a,
+    0x57eabe6f, 0x8339f9a0, 0x7eeb24a7, 0xb72c4c82, 0x7946c71a, 0x6b07ca08, 0x144c7e9a, 0x2006b57c,
+    0xc38a8eeb, 0xdad1c3dc, 0x09717f6f, 0x62b2840f, 0x88876efe, 0x0124ccc4, 0xcd4c5117, 0x56823b48,
+    0x02c906e6, 0x558f98f7, 0x99251edb, 0xbd1ad38a, 0xc9494b97, 0x442b181c, 0x41df9dc8, 0xf1a4f26f,
+    0xdf86be3a, 0x89d8d462, 0xd3a08bb5, 0xe50b0244, 0x49faa43a, 0xfa5bf718, 0x09fb85c5, 0x7a931135,
+    0xdc5b86f0, 0x0752c92e, 0x3dbc5fb7, 0xbd84ab27, 0x6fbfdd26, 0x74508f90, 0x8d7e2c30, 0xae344cd1,
+    0x63f2fadb, 0x8720ea49, 0xf34041eb, 0x3a7051b8, 0x8512e69d, 0xce862255, 0xfc37559f, 0xccc0c2ca,
+    0x212a18d6, 0x19e4601f, 0x6265ceef, 0x9cc177f1, 0xbe61170d, 0x3f19aa90, 0xbd920da3, 0x31cb8880,
+    0xb991ce56, 0x733087ce, 0x6d8e2247, 0x0f70980a, 0x83f94bdb, 0x0602ddeb, 0x2fe7e08e, 0x4771bdf3,
+    0xe60d921a, 0x61a79b62, 0x343664e6, 0x3f164b88, 0x97848e67, 0xa83a9611, 0x0eae1b41, 0x8ab2314c,
+    0xb187eaf6, 0xab284fea, 0x478616c7, 0x465d01e9, 0x0533ce15, 0xfc44d040, 0x6c88b4ee, 0xea5112b8,
+    0x5c6fe150, 0x3346de0e, 0x300c6355, 0xe67ced9b, 0xf37e86cd, 0xbfbbb201, 0x1f0f2889, 0x96f5184e,
+    0xb78ebd4a, 0xbc9e7233, 0x7354834e, 0x020bf0f9, 0x266e2997, 0x204ea8be, 0x15a6e3ba, 0x95d91c0d,
+    0x6b1c1e24, 0x43dd37a5, 0x6b4538f0, 0xb5bb8f4d, 0x5c4261d7, 0xc49edd40, 0x75628f2a, 0x069ed44c,
+    0xe4eadbfa, 0xdd517779, 0x5983dcce, 0x3f59b1e2, 0x7043aa3d, 0xcdefcfb4, 0x93bc3026, 0xd369500f,
+    0x27095a03, 0xcf5fc70c, 0x8f740d5b, 0x1a0ef951, 0x42da1fd0, 0x631acc09, 0xe20b41d1, 0x030544d0,
+    0x077e72cd, 0xad1aef20, 0x7292d1c1, 0x8b0e57bf, 0x6cc17095, 0x6e8caade, 0xfee004e9, 0xc3eec09e,
+    0xd1abb521, 0xc2cd7f92, 0xadf07520, 0x9efb1797, 0x6f61ba73, 0x78509f18, 0x1130d422, 0xc13351a3,
+    0xf4605520, 0x9517ece1, 0x864f1b25, 0x43ab2daa, 0xf8c61ecd, 0x796a8aea, 0x05c50a97, 0x0907a459,
+    0x0dae1afd, 0x84d4574c, 0xfb76250d, 0xb79a1e92, 0xffc05946, 0x88d5de69, 0xa536296b, 0xa7baabd4,
+    0x88cb5955, 0x6d0fd671, 0x35448808, 0x1495709f, 0xff51ff6e, 0x581e6f18, 0x38e8ed13, 0x12fc8387,
+    0xc102e337, 0x90e89dac, 0xdddfe3ad, 0x8aee9c8b, 0x6ed52044, 0xc3fe1cae, 0xc292fdbe, 0x68d461a0,
+    0x0971b028, 0xd69cf7b3, 0xc8476fad, 0x49234c22, 0x0bb1be6c, 0x6471af1a, 0x8e9bf64f, 0x20e3d4a4,
+    0xa10d53e9, 0x9022daf5, 0xb7c90c5f, 0xd2f14e40, 0x6d5e31a8, 0x218767fd, 0xdf59ddaa, 0x61fdf0cd,
+    0xb7273f23, 0x2e7aaaa5, 0x0c6bd54f, 0xee04e2d1, 0xdcb62e83, 0x2f503a16, 0x27d2232b, 0x9b269fd2,
+    0xda027c86, 0x2f8f5fbd, 0x01ef5cae, 0xe640c822, 0x50cecc3f, 0x4b89d22a, 0xe9f87cec, 0x9c6e0a3d,
+    0x79e39276, 0xf1d7dfe5, 0xc32740b6, 0xf432b15d, 0x21b73ab3, 0x89101fc3, 0x88ddeb1d, 0x704fba49,
+    0x530a9e92, 0x820adea0, 0xb1be9120, 0x3a7b716b, 0xfb4e79aa, 0x4885a1aa, 0x6f89bc21, 0xb14f0e83,
+    0x00000000,
+    0x6ac8082d, 0x3ad4e91b, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000027606985387162255149739023449108101809804435888681546220650096895197184 */
+  { 0x00000000,
+    0xf4708c38, 0xb0af5684, 0x3eb9ad4b, 0x14cca438, 0x498a627c, 0x70dfc592, 0x90d647fd, 0xb2acfa90,
+    0xf3e1836e, 0x9365286c, 0xb0c74f4e, 0x0210c932, 0xcd12fa11, 0xfcda74ea, 0xd8da6002, 0x91b3581c,
+    0x237d5b38, 0xed568ee3, 0xad277fc1, 0xd2549441, 0xe3d3a198, 0xd7de28b6, 0x391503d9, 0xdc79efbe,
+    0x6572b612, 0x77dd0eeb, 0xd09850e5, 0x66e1bfa7, 0xd6c31e92, 0xda75d502, 0x405fef2b, 0xc5cdccf8,
+    0x42d37344, 0x8585c6f6, 0xaca137ee, 0xe9694008, 0x8d1f73d8, 0x05ba1c38, 0x17ef814a, 0x55ba40df,
+    0xf57a6304, 0x46299c2d, 0x41f314fa, 0xc9b838e2, 0xd39ff02d, 0x5e2126d1, 0x4b73f087, 0x6eb2a8ad,
+    0xe48ea3a3, 0xdca668a6, 0xe0640d6f, 0xe20d5a28, 0xb83049a5, 0xe16c3cff, 0x2a6c5ed8, 0xee9b9b2d,
+    0x46cc7263, 0xed13a2a2, 0x01927253, 0xb031efee, 0xd42dbdfa, 0x694f4227, 0x9c36574b, 0x9407329c,
+    0xed5c4003, 0x7ac59d93, 0x3e0099f0, 0x59302e42, 0x92b175be, 0x973dc3a5, 0x7e5e2d83, 0x1c63fbb7,
+    0x114d8e4d, 0x508b6f4c, 0x922cb8c3, 0x3a757d08, 0x76a79539, 0x4a4213f0, 0x29cc7401, 0xf2166565,
+    0xa6dff3a9, 0xbd516dc5, 0x4b507c88, 0xf89aba91, 0x380cb4f4, 0x1dc5c50c, 0x27079a5e, 0x0061fdc8,
+    0x730f19d4, 0xac1831d3, 0xd20b88ae, 0x1e846dbc, 0x60066af9, 0xf5c2303d, 0x4cecf570, 0xa4e0179f,
+    0xf1449755, 0x28c3a562, 0x34171704, 0xe13d4828, 0x48a28765, 0x32a3e0c7, 0xbd9a7a26, 0xce7dcfa8,
+    0xb9d1d22c, 0x74093ddf, 0x68834a4a, 0xa7f86612, 0x0b92070f, 0x565b6b19, 0xfa64fea2, 0x95666100,
+    0x4db8456b, 0x19f54994, 0x9b101cd3, 0x838edfbc, 0x8d0b734c, 0x600b73e6, 0xd893e693, 0x4651f6fb,
+    0x190e8df8, 0x7ba26960, 0x5119c90c, 0x65abdc79, 0x00fa3bf0, 0x4a3e0cb7, 0xbb5a9c4e, 0xf8f0210e,
+    0x73288e2f, 0x6ef0a58c, 0x9dcf3d8e, 0x01d2260d, 0x6af32401, 0xbb446c4d, 0x7a291b4c, 0xe5dfcf87,
+    0x1b8b4240, 0x94522061, 0xac12c14c, 0xc0a506ff, 0x75e30447, 0x1905b0ac, 0x6db2976e, 0xf5b7f12f,
+    0x5ca824fd, 0x93bf5bfc, 0x5b645afa, 0xc9ca8586, 0xa7694365, 0x128b3513, 0x5063bfa1, 0x4a1fd062,
+    0x41029fe5, 0xc0c066ef, 0x9cd5d3c3, 0x6e1f7bcb, 0x6e84cb0b, 0x591a51e2, 0x0650ae39, 0x4fdc3f24,
+    0x030e11c7, 0x1ed6791c, 0x1e794858, 0xd3e873f7, 0x5ed5b06d, 0x19a96814, 0x9016baa4, 0xb2a2aeda,
+    0xf22cc8b3, 0x0b9eaed2, 0x60fbb7f3, 0x89f63005, 0x4eced793, 0x87903f72, 0x25e60320, 0x12f4b578,
+    0xf287e4ca, 0xad27de4d, 0x6e9f7968, 0x89fa8c35, 0xc3700bd9, 0x1f20e024, 0xa98e351f, 0xfb2de70a,
+    0x975fc2dc, 0x74bebd2a, 0x4eb32105, 0x6c6b39c7, 0x5b3fc5a4, 0x77e8e697, 0x27663d9c, 0x913df7ef,
+    0x42e4bc02, 0x913bc353, 0x6ab7d209, 0x366ffdfd, 0x1e1deb03, 0xfc9069d6, 0xed848379, 0xef7bfed9,
+    0xae3015f6, 0x4bb0cfb1, 0xa901d8aa, 0xd7997ed4, 0x4b280db7, 0x1d70ca79, 0x2ad5cd75, 0xcc89f514,
+    0x055fa3a9, 0x1ceeca58, 0x84c73633, 0xe8c9b47a, 0x8d7da779, 0xc8c4cc1e, 0x01737e32, 0x707c93a3,
+    0xd6e5aec9, 0x7011931d, 0x2d90a24a, 0x226cfa3f, 0xaa2d6718, 0x7ca4fc45, 0xe9ab9e1a, 0x85241c85,
+    0xa91e5630, 0x4c0ccabb, 0x3839ee09, 0x30baa979, 0x88229f1c, 0x2bc1d075, 0x0414628d, 0x855b1ec4,
+    0x47a3a025, 0x30f5b665, 0x4ace3198, 0xd185e1c0, 0xd806acd9, 0xece27b5b, 0x6e2dd254, 0x03e978b2,
+    0x69b4de1c, 0xc3f7d6a7, 0xb604561b, 0xc56d9468, 0x75cde130, 0x5caf3b79, 0xc6e130af, 0xeb1dfe05,
+    0x6daa5ffe, 0x366d4475, 0xdd3509f2, 0x6388e8dc, 0xbbf12b44, 0xcdb0cb48, 0x733c668c, 0xd341ceae,
+    0xa9e69fbf, 0xc0fefb6f, 0x5c3a989a, 0x1fd25bea, 0x6a3e6825, 0xda9cc3e5, 0x9377a27c, 0xd8952d26,
+    0x60344b3e, 0x601f496f, 0xb45f5a73, 0x6b92b245, 0x79f990c6, 0x85ab3e3d, 0xbf470603, 0x3bb6cc43,
+    0xc7c01419, 0xc5363bd1, 0x9401a6f9, 0x1e8f5ab0, 0x69fdfa66, 0xe53ad42b, 0x5b976aca, 0x765ccc19,
+    0xb406450e, 0x614f8617, 0x472e6fb3, 0x9c7bc647, 0xb2222975, 0x71f4f9cd, 0x3a113315, 0x36eb5105,
+    0x59320828, 0xbe8bd280, 0x04bdd634, 0x0b448c8c, 0xb906469a, 0x019ae5c3, 0xfbd514d2, 0x1297fc8f,
+    0x293c664e, 0x6a0e8c7f, 0x07a7893b, 0x23607551, 0x53c101ef, 0x1b4a06ff, 0xa149e3a2, 0x8bf54896,
+    0x51fe0289, 0xf30b98d1, 0xcebd50bd, 0x8e7f1996, 0xcaafbf9e, 0x7bd1f67c, 0xcce4f012, 0x26381286,
+    0xc5121898, 0xbe6a1420, 0x0cdeeae2, 0xd8b42185, 0x78598611, 0xafad0019, 0xff67613c, 0xdc09eedc,
+    0x961aa1fb, 0x03771c9c, 0x04279760, 0x959b62e1, 0x64cf0d1b, 0x93ccaeb1, 0xf91fab65, 0x49527095,
+    0x17d0c4ea, 0x51bcf39d, 0xd74299ae, 0x53162904, 0x544b4597, 0x926bcc0b, 0xec77ddb6, 0x8ff9ea55,
+    0x71c5609a, 0x96e7212b, 0xacfe75ff, 0x0c6a6430, 0x57ae235b, 0x4a971c8b, 0xd03a49f5, 0x28f72490,
+    0x676b4315, 0x4c0b6cbe, 0x4823fe28, 0x50e0b08f, 0x29cd880d, 0xa337376c, 0x16ab4785, 0x05decf98,
+    0x8f9a38ad, 0x2f329795, 0xa704d5cd, 0xe1376658, 0xfd309c3c, 0x00dbf242, 0xf5f7761d, 0x43acde57,
+    0x1081573c, 0x8afe11a6, 0xc6a2c1aa, 0xafb4fcde, 0x7a3c80d5, 0xc6e99f88, 0x2f256650, 0xad5eaf46,
+    0xf4ab2986, 0x2295f7df, 0x2d101518, 0xd07e3422, 0xf75cbf2c, 0xaf88f4a5, 0x518bf128, 0x386a10d2,
+    0xa8b23b6e, 0xe2d5a44c, 0xc167a4b5, 0x2f6f4b6f, 0x3617f1bd, 0x9865a5ca, 0xfec7b70f, 0x133f20e4,
+    0x42997aa1, 0x6b30410c, 0x436f1919, 0x2370309a, 0xd81a90c9, 0x8537e2e1, 0x742d5378, 0xadc8d0e5,
+    0x48399fd8, 0x8e0c6eeb, 0x44f0c28f, 0xfc244278, 0xc83b563d, 0x69a2f4c8, 0x2e1e9b6a, 0x0e6cf8b6,
+    0xc848e130, 0x7992c9d2, 0xd1bd64b6, 0x781d8c3c, 0xc113f80d, 0x0cbbb009, 0x165d7150, 0xcc68088f,
+    0x86e3b226, 0xc8e55cd5, 0x0252d0d2, 0x3b9d6223, 0xacaecfab, 0xe681dbee, 0xd78c0be0, 0xf0c19e2e,
+    0xe7e7eb46, 0x7df80c0f, 0x21732f8c, 0x989a1fe8, 0x1d800cca, 0xa3101195, 0x5b7ee02f, 0x786cf826,
+    0x615a3637, 0x9bc0783b, 0xf1bf55e8, 0xcb20150e, 0x67013220, 0xb045ddfa, 0x44e47bdb, 0x91c943cb,
+    0xc24397d5, 0x756790e4, 0x1ca39ad7, 0x00f2f890, 0x91c04908, 0xf09baa75, 0xaa0614b2, 0xc1745e03,
+    0x757e0d34, 0x834d8579, 0xb2b478e4, 0xc0d3e358, 0xdbfbe299, 0xcb4ce253, 0x5710dfb7, 0x08c68524,
+    0x9d5a176f, 0xc29951e7, 0x42f06f87, 0xd54e79ab, 0x5f212d9d, 0x03df2e10, 0xc774e057, 0x61142ef8,
+    0x21ffe4ea, 0x707057cc, 0x75ea7665, 0xf23ef716, 0x45018ced, 0x94dfe3ca, 0x9f3b229b, 0x43901299,
+    0xd949b7fb, 0x35b0aefa, 0x7a91bd35, 0xe3e7221b, 0x0e43def0, 0x554ad425, 0xd7d797df, 0xb951781a,
+    0xcc7b9801, 0x3205415d, 0x4764c26d, 0x83ee6fb1, 0x8c3ecdf9, 0x1f90377c, 0xa01b9bc3, 0xe3d1422c,
+    0xe14e205d, 0x09db0089, 0x98ed2906, 0xfcc52275, 0xc24fc088, 0x4778f6c3, 0x86e89c14, 0xe03cb501,
+    0x6f7bc810, 0x65752189, 0xfb82b201, 0xbe1472b0, 0xf59e06c2, 0xa8b70a1a, 0xa00bac5b, 0xec7d7091,
+    0x5bb02d5a, 0xd2c2f674, 0xdfa5dd61, 0x449f3630, 0x8cc1efbd, 0x898fc8ce, 0xaaded88e, 0xc7ee88dd,
+    0xca4f12bd, 0xcd69fdf3, 0x5a17b3c7, 0xeeaade19, 0x3b64a889, 0xa7510a06, 0xcb85591b, 0x02c69a39,
+    0x65e1a2bb, 0x2a1bbf55, 0x731fc907, 0xfe803613, 0xe394a4f4, 0x7661e6be, 0x8d6cdcdd, 0xb5d13b93,
+    0x22ab7aed, 0x9e480322, 0xccb558df, 0xa1ddb96b, 0xec6d8989, 0x4c79e4be, 0x8799eb55, 0x6cd343e1,
+    0xfc666bd5, 0x464cb1a4, 0x078db906, 0x0187054e, 0x6be56b7d, 0x59f4f018, 0xedee4484, 0x18a21dc9,
+    0x675b7d8d, 0x0dcb3213, 0x363ac95e, 0xa44702c4, 0x5b941db9, 0xc2201f4f, 0x1caf93f5, 0xe7f582b1,
+    0x72ccde8c, 0x9896e938, 0x1ddcb580, 0x42209b6d, 0x1f14c9bf, 0xc42c07ff, 0x17931cce, 0x34a75a24,
+    0xdebb2a46, 0x6e9ecc88, 0x089a804b, 0x1cf04428, 0xe8389de8, 0x1d50d228, 0x29004514, 0x06984927,
+    0xfde92304, 0xd04cecc0, 0x3b125486, 0xecbc440c, 0x246b8d02, 0xb6a65832, 0x20dd6571, 0xfe443dbe,
+    0x7ba4a449, 0x0e7a1d66, 0x67041f83, 0x4ad3e418, 0x5da3254d, 0x67e6cca9, 0xbbc778a0, 0x4113b4e2,
+    0x69a5341e, 0x5b504b0a, 0xcc3c5e00, 0x72f54eb0, 0x74a9e938, 0x55fcd26c, 0x9f43a1bb, 0xb2451982,
+    0x8311959e, 0x0e933898, 0x56e2b838, 0x23e723cb, 0x496bf19b, 0x1717ce9f, 0x286a25de, 0xba729fc9,
+    0x94f63fdb, 0xef6cd822, 0xd4e234ff, 0xb1c0ab20, 0xa3aa5642, 0xff878c1d, 0xa1475da0, 0xafc5aaf1,
+    0xd654616d, 0xa5487525, 0x1d3a7523, 0xe6689c40, 0xf776e8cd, 0xd3b67cbd, 0x9bd98516, 0x47ec9499,
+    0x60a9548a, 0x77872e1c, 0xa60748d4, 0x4f9c7b58, 0x7808cfa3, 0xd4e00155, 0x61269889, 0xc94c75ce,
+    0x1c653ce9, 0x896cc7ea, 0x577cd7af, 0xe949167a, 0xa639353e, 0xfd27e023, 0x5b07dd28, 0xc47f955e,
+    0xa1545f85, 0x91e4c632, 0x50fdb2c3, 0xa4863298, 0x585f6084, 0xa3054d2d, 0x6e67293b, 0xa043ee2b,
+    0xeffcd86e, 0x7f9e8549, 0x3d92ef91, 0x3213e9d1, 0x4ef367ce, 0xc3d2f83d, 0x154e34ba, 0x74d345b6,
+    0x1e4fa7b7, 0xf0a9537d, 0x1b7de2d4, 0xc1a7c28f, 0x80755a24, 0x0145929e, 0x71f96924, 0x714c6a7c,
+    0x6da6b7a1, 0xb0c5c3b6, 0x297143b3, 0xff18e0ca, 0x8445c89d, 0x3b479837, 0xc21de9a7, 0xc47be956,
+    0x4665bcce, 0xc6ad7048, 0xa8d26863, 0x0617401c, 0x902a2ead, 0x946b1ebd, 0x3df2be32, 0x55ef4564,
+    0x80837f4e, 0x1904eca4, 0xe53bc74f, 0xa8136513, 0x8d5d7f2b, 0x55359b3f, 0x4f95e37f, 0x9d5ba991,
+    0x34db0687, 0x06782713, 0x47020fc2, 0x7e38d92e, 0x17e15305, 0xab216764, 0xade2dedf, 0x609696f0,
+    0xe7282be8, 0xd99ec0f5, 0xec93b21e, 0x2173504a, 0xb3f7fbb5, 0x4d40cd05, 0x955dd987, 0xd513cf74,
+    0x22dd67c5, 0x68295be0, 0xeb52ce44, 0x8e42ccb4, 0xffce0dfc, 0xb32a4a27, 0x05dad501, 0x4dbecc37,
+    0xc5c5fbf4, 0xf84207d5, 0xb266ee8f, 0x20c76978, 0xbf37af97, 0x09f7ffe2, 0xb96912b2, 0x35d9c5c6,
+    0x729e7811, 0xd9bb4dc0, 0x8d133a78, 0x22d23269, 0x6bc20419, 0xd1a49ab1, 0x051a8132, 0x891f8285,
+    0xa82f1550, 0x3c3f2444, 0x4f260468, 0xa6d87f52, 0x7f133579, 0xcc63562f, 0xa1a1560e, 0x0d7504b5,
+    0x809cb7f4, 0x7fe8b645, 0x40dc781c, 0x15deb716, 0xd59a0b82, 0xbd927ce6, 0xbbfc8d4a, 0xf368d7bd,
+    0x89db4d78, 0x7b7a2f5e, 0xc964c259, 0xb09482cb, 0xb90c3fe3, 0xe2955a24, 0x2c8554ff, 0x40f3697c,
+    0xacb8ac43, 0xd14489dc, 0x422497e7, 0x12099728, 0x87537db0, 0x82ab5f2b, 0xa4ee37d8, 0x57547463,
+    0xc578b960, 0x9e1d6355, 0x14ec73ef, 0x78b66d8a, 0x4f9266a4, 0x11ab8eac, 0xef51a6a6, 0x676c933f,
+    0x062a881c, 0x772290ab, 0x67dc41d0, 0x118f43f5, 0xee59955c, 0xbc3a1a86, 0x3169ab0a, 0xa4bad5f0,
+    0x630b2127, 0x898c8456, 0x86b40d0e, 0xe1442194, 0x8473fea4, 0xb5b58f77, 0xbe7a327e, 0xcbc51343,
+    0x27cfa95c, 0x58de87f2, 0xe77261f5, 0x6f59e0de, 0xe2d9cac5, 0xa9399665, 0x690d4fd5, 0xf70bfd7c,
+    0x3e451007, 0xf4195576, 0xf41561de, 0x4d29a640, 0xe085ba17, 0x04260a79, 0x2277ed64, 0x714f3a2b,
+    0x17cf944d, 0xe67b1ab4, 0x2517753b, 0x2e595794, 0x42967183, 0x4afda0b1, 0xd8c849b5, 0xd4a3175f,
+    0x272f496e, 0x6cb46569, 0x8ba0b399, 0x073bb0b6, 0x04ae5c4f, 0x2760545b, 0x897cab85, 0x61e2e47a,
+    0x21177fb4, 0x3111b54a, 0x5fea2b3e, 0x691d2870, 0x3d06c931, 0x53a9c2e8, 0x1e7f8a66, 0xc4a03180,
+    0x3f8f030e, 0x71aa33e7, 0x16d4f57c, 0xf3582df9, 0x303a19d8, 0xd09c84a2, 0xf9387de9, 0x12aae089,
+    0xd431f61d, 0x6837a2d8, 0x073e4f8b, 0xf0907746, 0xc9f3dd9a, 0x6a889787, 0x07c3208e, 0x550103e5,
+    0x8a71ea6f, 0x597d54e6, 0x3b7b71a5, 0x462ee778, 0xc7cbee7b, 0x5fa1f0e5, 0xab1888f8, 0x21fda52c,
+    0x086755df, 0x1c88ee06, 0xaeda90b4, 0xf2a77c07, 0x4f117142, 0xa89756d7, 0x5884b102, 0x383165ef,
+    0x49075d34, 0x486832a4, 0x97c81346, 0x026f12d4, 0xb5760752, 0x08653456, 0x63161281, 0x09785e6f,
+    0x6509b4fb, 0x2c5feb05, 0xe75dc05d, 0x01560a6f, 0x8856521d, 0x35073f87, 0xac05d7ff, 0x6af2ff25,
+    0xa09de116, 0x568f95bc, 0x51bad6ad, 0xedc248c8, 0x0209f14d, 0x76c95adf, 0x100385a4, 0x5d987a1c,
+    0x0f77f655, 0xc208e8c3, 0x30e1602f, 0x0c4425c1, 0x002ed687, 0x1b67c22b, 0x427c8713, 0xcafed94e,
+    0x76b9c728, 0xd29eeafc, 0xf9c1d77d, 0x277d7758, 0x8b2dabed, 0xb9686f65, 0x8015fc60, 0x0806da57,
+    0x3b760b97, 0xa762019d, 0x8c24a19c, 0x5288cfe9, 0xb9b494e2, 0x29c81d42, 0x17a6ee71, 0x66ad0dd8,
+    0x6da8b69c, 0xfcaadaa2, 0x597eda7c, 0xb793f984, 0xba875cf5, 0xd61e0f86, 0x24201ea1, 0x422e63ec,
+    0xdcc527b5, 0x65595d09, 0x889fa5f6, 0x7222e23d, 0x15d7c733, 0x236bcb7a, 0x79e827ca, 0xaa762fae,
+    0x9a24f190, 0x05828ea6, 0x0255e702, 0x6c584e22, 0xe63297bc, 0xb8f493dd, 0x096e2abd, 0xd487ffee,
+    0xd58430ae, 0xc5700436, 0x7b59a1d2, 0xc01a0ddb, 0xbd39bd43, 0xf159ffb5, 0x95a9d6ba, 0xb681bcd6,
+    0xd884b53c, 0x61cee96e, 0xb44c3ab0, 0x2e0b2198, 0x017bd622, 0xc443491a, 0xb5f61873, 0x9b0431e7,
+    0xfaedc68a, 0x361abcb3, 0xef36c85a, 0x24ba0c12, 0x512a76bc, 0xdae08157, 0xb7490fb5, 0x126d63b6,
+    0xde2622d1, 0x50e46e4e, 0x8a7920a0, 0xa9f9ad54, 0x8a500f47, 0xcba6be34, 0x073107aa, 0xa881a6c3,
+    0x8a730524, 0x6cb7cfdc, 0xdeb5f505, 0x680e48ca, 0x7ea530b7, 0xdf94cb99, 0x0391503c, 0x2ffbd6d6,
+    0x9ad53693, 0x0c182e73, 0x5c76154e, 0x08376069, 0x733595b9, 0x1c0e0461, 0x3d57a16a, 0x981cd197,
+    0x29358c1e, 0x096e93d0, 0x5e20dacc, 0xcb0a8a34, 0xb9c85cc8, 0xa8bec696, 0x8fa6e6c0, 0xb2a98981,
+    0x30fe72f2, 0x215f0114, 0x24adfcf7, 0x4698a94f, 0xd4503d5a, 0x2e39f5ee, 0x7b93db31, 0x0fe9a0a6,
+    0x296a2ab2, 0x221e8bc0, 0x62fa8848, 0xa119af79, 0xa82180f1, 0x776ab5f6, 0x96a7027d, 0x14e6919e,
+    0x74d77320, 0xbd24c4e6, 0x1088a0ba, 0x13842b2f, 0x5f14e267, 0xb23c03d9, 0x7a4185c8, 0x77e1a9fa,
+    0x79cb0f97, 0xa70b88bd, 0x931f8211, 0x6ec26cb3, 0xc1d50417, 0x73884711, 0xefe7ea17, 0xb78739fe,
+    0x4a059087, 0x5d1ca51b, 0x3a130dd6, 0x8773a97b, 0xf3ebf1d1, 0xc9c82b74, 0x384bf15d, 0x96a67d6c,
+    0x00000000,
+    0xb5640416, 0x9d6a748d, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000013803492693581127574869511724554050904902217944340773110325048447598592 */
+  { 0x00000000,
+    0x64dbfe05, 0x2114a01c, 0x1a63f9fa, 0x790900ab, 0xb9f43e90, 0xf9e47079, 0x6079464f, 0xbdb2b575,
+    0xb514fdd3, 0x0b7fa74e, 0xc91da5cb, 0xf61a9c68, 0x78dd79b2, 0x37968067, 0xd2b00c06, 0xdac10390,
+    0xe9f39ec2, 0x139d3679, 0xb860b9d6, 0x41a83588, 0x1c0dd34e, 0xf1a5ca8d, 0x034ee4ac, 0x8708b5d0,
+    0x866ac3fc, 0x0b8bdea7, 0xbe48ce58, 0x013ea642, 0xa3d78057, 0x8419ecbf, 0xed11b93c, 0xcacbbfcb,
+    0xbf7b090e, 0x16c84f59, 0xa1f7d77f, 0xa78a3bf4, 0x459ba3e6, 0x4823457f, 0xa93681b8, 0x530c0f2f,
+    0x414e2172, 0x1e10d902, 0xad1e48dc, 0x3685e4fb, 0xb4a4d42e, 0x9a987e0d, 0xdae0ee20, 0x0f544f91,
+    0x2803c380, 0x9fc63991, 0x365757fc, 0x0626adb5, 0xfab16d1d, 0xccc57bd8, 0xf8acefcb, 0x15cadbbf,
+    0xe0cdb271, 0xe01bf725, 0x8888c306, 0xd4ac50f5, 0x74920af7, 0xb3db2a9f, 0x62e86c93, 0x111d9bab,
+    0xb048d9b5, 0x2c968fce, 0x3ad1fcf3, 0x729b270a, 0x7b4be197, 0x3e0cf58a, 0xba4d2d92, 0xa7fb0461,
+    0xbd275342, 0x31ef7275, 0x48358e97, 0xb4e911b0, 0x52ccb8d5, 0x5ae8e669, 0xcdc263ae, 0xb859190e,
+    0xf7372ea2, 0xd44adf77, 0xa2501ba2, 0xb87e64fa, 0x8ebc1c57, 0x665f5d17, 0xe8b952b6, 0xee6cd69d,
+    0x6143afd6, 0x0b108f53, 0xd788df2a, 0x54956e24, 0xa92d3161, 0xc1a7d7cc, 0xc23d540b, 0xa75cbf7c,
+    0xa3ff6a28, 0x378e0e5d, 0x593a0127, 0xbdf7fa54, 0x0d98a0f6, 0xd0f79ebb, 0x0b57b336, 0x6e60c2db,
+    0xd9095d2e, 0xc710b506, 0x49ed1746, 0xc55f8278, 0x368657f7, 0x21419011, 0x6d560319, 0x29e3c87d,
+    0x6148edff, 0xbfb7971e, 0xc55a22d1, 0x6b749d87, 0x0a2dda68, 0x629c7e60, 0xc165f2a7, 0x70c11777,
+    0x703e46af, 0x43f4d3a0, 0xfe647bd2, 0xd98a27be, 0x15a80adf, 0xdb238d51, 0xada00d8f, 0xc044d093,
+    0x3ca57523, 0xc8d679a4, 0xadc3c191, 0x69d89202, 0x43dd8b60, 0xd9579fd1, 0x2f5db751, 0x96df7044,
+    0xfb0d0ceb, 0x497fd268, 0xfad36e49, 0xc60a3953, 0x984c789f, 0x5ecc85a3, 0x9190a355, 0xa1b7213d,
+    0x960f7e38, 0x0513a0fc, 0xb8279386, 0xba8b1bde, 0xd8cc3a3d, 0xa4070d44, 0xbb81d175, 0x81d39566,
+    0x95361b86, 0xe2242738, 0x2bb229f2, 0x721dc634, 0xf61417d7, 0x25e24a35, 0x663604af, 0x05770f1b,
+    0x0be2c305, 0x14bd1041, 0x9118b10f, 0xb4ad5033, 0x6a45cf5a, 0x735058ef, 0x75db578c, 0x220169ea,
+    0xd0d2e7da, 0x86253896, 0x9b8aa221, 0xf75d1c51, 0xfdd31c5a, 0x931667ba, 0xef27517e, 0xae2352da,
+    0xb0bf1f97, 0x80bbd244, 0x1c7fd013, 0x1ec99f06, 0x78ced918, 0x2d461430, 0x5e0828be, 0xc8665149,
+    0x45b238dd, 0x90d54ad1, 0x2f76016e, 0x1cc60945, 0x3fc3989b, 0xcf9c23d5, 0xf4f7d836, 0x6c79d842,
+    0x074f7d33, 0xe1016899, 0xff8f1763, 0xad14e121, 0x4bc6cd19, 0xccc1ce69, 0x6c69ac30, 0x57b6edf4,
+    0x9c340a3b, 0xb061271a, 0x31eb75a8, 0x6cc7fae5, 0xfc6a78f1, 0x662fd66a, 0xdffbbeda, 0xe1f44d2f,
+    0x41f1ff01, 0x2fba0d1b, 0x4bf4c5c1, 0xc34e84c4, 0x3f53d175, 0x9b51d648, 0x1f30ca70, 0x4783e142,
+    0x971afda8, 0x15eba1a9, 0x848121a8, 0x3cbc34ad, 0xce979b33, 0x39fdd2ec, 0xedef3c56, 0xa49d6f42,
+    0xd967fd9b, 0x67ff2b6e, 0x3e44e7fa, 0x42e1b002, 0x90d783cd, 0xf6f8f33a, 0x7d9c7097, 0x0b7cdcf8,
+    0x108b5f08, 0x55392cc8, 0x540f2cfb, 0x3a27ea3a, 0x1ef810c4, 0x93537209, 0x306647f4, 0xba5a25c9,
+    0xe61cabff, 0xc5effdb9, 0x14dd4789, 0x10e8bd27, 0xd366584b, 0x397ce28c, 0x425cc1c7, 0x5ce908bd,
+    0x3472bab3, 0x04d56423, 0x82bcdf18, 0x8a0dec85, 0xf2317617, 0xeab48a9a, 0xe950f08f, 0x2108b375,
+    0xdd05cabc, 0x41bb77a6, 0x81e5c098, 0x7add27bb, 0x838e4897, 0x10870b65, 0xb300a9c2, 0x6937dc23,
+    0x110e56f4, 0xa4a8e73d, 0xde60b4ba, 0xfcb4460c, 0x61caa460, 0x10487412, 0xe11c8b2a, 0x754de691,
+    0xf8161def, 0xa431b436, 0xf879aabd, 0x90af63e5, 0xeec18c9e, 0x7e4d7299, 0x0eb31dc3, 0x4bf9cbda,
+    0x4a5486d1, 0x013dd6fb, 0xb247685d, 0xe267c0ad, 0x13e43270, 0x235675f9, 0xb4941ada, 0x8d702690,
+    0x9b89e239, 0x42c16813, 0x440874bc, 0xce7db4ae, 0xfd32813c, 0x11b56a53, 0x921ee6d7, 0x0d282398,
+    0x66f9f337, 0xce4eb8d7, 0xcc433c61, 0xe92c9da2, 0x923eea45, 0x8d0e7125, 0x963cd40c, 0xd55044a2,
+    0x3ca13fde, 0xb3f645cc, 0x6a39dac4, 0x4ce18394, 0x79765590, 0xdcc0a2ab, 0x56a107d4, 0x9d21f59f,
+    0x1e9e850d, 0x59dcbb02, 0x97152545, 0x4405e66e, 0x8b7208ae, 0x1fff1775, 0x05a22275, 0xe02dc924,
+    0x08bdbba3, 0x1006d64f, 0xca3f558f, 0x22346a69, 0xb8f8ef2b, 0xcd498552, 0xdf41a876, 0xd81a8c6f,
+    0xc03e6c42, 0x475534e2, 0xb0c61d25, 0x8196e350, 0xa16ce696, 0x1ab6247e, 0x45002d66, 0x945b9bb0,
+    0xc0141dd8, 0x81f11dd1, 0x4f066490, 0xcd6bc92d, 0x2964b6c7, 0x80e9b78e, 0xa708629f, 0x5e5e12ad,
+    0xb8ccae1b, 0x98ae747d, 0x1058f95e, 0x926bcf85, 0x8b148ca0, 0x3f363400, 0x815bdb3f, 0x242e1fee,
+    0xeba3d67f, 0xf89c9f3c, 0x84ecf32d, 0x6ae5ba88, 0x08c0bf7c, 0x2f6a39e1, 0x907f2cc4, 0x4839bc4a,
+    0x4be57df5, 0xb94eb58c, 0xdb395ea6, 0xc7f96977, 0x9c7298fd, 0x28b0047d, 0x850ace4c, 0x36371114,
+    0xc8f632a3, 0xb2bfd206, 0xe8d545ad, 0xa22bbbf5, 0x8c69be2b, 0x66ce82f2, 0x30810598, 0x6da36cbe,
+    0xd3fe4e42, 0xf807ef18, 0x6b031b98, 0xaa1b40f1, 0x54adc8ef, 0xaa9def78, 0xd7ad6b66, 0x2c91d078,
+    0x659f8251, 0xf043f962, 0x2c7f75ef, 0x0376c63a, 0xa59f6be3, 0xbfef83bc, 0x197fbee7, 0xbaf61c4b,
+    0xda9b969c, 0xa89453e6, 0x2ee34fbf, 0x17c2f340, 0x2cc3100a, 0x20d3c801, 0x5309038c, 0x094d4e18,
+    0xf8da7852, 0x777c48b8, 0xf65d4de5, 0xd4b09e76, 0xaf071f76, 0xac94f403, 0xd45cb59c, 0xdfc69b7d,
+    0x08d2bc95, 0xc7c16b62, 0x29f02b43, 0xf29b2879, 0xac8a81c9, 0xf0e13ddb, 0x401ffdba, 0x10b9627d,
+    0x4f2a73b9, 0x08fd8eb2, 0xe6ada33c, 0xbc97e0d7, 0xa5c0ca4a, 0xb0cb35f0, 0xb64432c1, 0x123fd8e0,
+    0xdb13b7c2, 0xcbdd6f0d, 0xcaca7f12, 0xbf37c7a4, 0x18215fe9, 0x6513966c, 0x06fdd052, 0x7f822559,
+    0xfdafa9c8, 0x52e50565, 0x2634ecae, 0x68451be3, 0xe4517b3a, 0xec9f9c88, 0x98b070c1, 0x1358b065,
+    0xc15fa455, 0x08ef802d, 0x8bd99120, 0x625142b3, 0xe9e35afa, 0x93d0ef1b, 0xeeae01ca, 0x2ad92f8a,
+    0x8d2dd1bf, 0xa7d5e93a, 0xbe9cbb9d, 0x68ca9e04, 0xa995729f, 0x4195c6c7, 0x3d55f3a1, 0x090d7ab3,
+    0xd7432452, 0xf6718cf0, 0x305fa0df, 0x9dd500fe, 0x6bc9fc35, 0x07873336, 0x23d34867, 0x8418cae3,
+    0xdc8d3c64, 0xd13061ff, 0x4aba94fc, 0x189ecc9f, 0xcc90c51f, 0x69fa10c4, 0x928fec40, 0xe4e9b76b,
+    0x7c1a7c57, 0xe207b3ed, 0xc998ffa3, 0x983928e3, 0xf8d39e09, 0x08af44ed, 0xbbc62a6e, 0xfb08b15b,
+    0xdcc80829, 0x17cc7920, 0x1996d1bf, 0xf4536eb1, 0x2e37502e, 0xb73c52a7, 0x84e3faaf, 0x90b79000,
+    0xf7145699, 0x310b851b, 0xf61cfa8a, 0x26d6b392, 0x7175d4d7, 0xc8868cc0, 0x7b17c7fe, 0x4eb49cde,
+    0x5fdc8c0b, 0x4691dc07, 0xc9045202, 0xede95fab, 0x434fa701, 0xcd3b1dec, 0x307de1e4, 0x604aa37d,
+    0xf4174572, 0xc742d963, 0x7b63422e, 0x68b345c1, 0xce658540, 0x9f5fb77d, 0xeaab1444, 0x386024c0,
+    0xf6f6c494, 0xc1940bd6, 0x4f420681, 0x24656633, 0xf91979d9, 0xa8ce84a4, 0x8623b4f8, 0xa81ce62c,
+    0xc80a6acc, 0x485aa37d, 0xac41ea19, 0xdbcae897, 0xfdde2cae, 0x1f5ae3f1, 0xb5bfa1bf, 0x0611a516,
+    0x02b46868, 0x25382906, 0x94f12a11, 0xbebc9b99, 0x12d1dcb6, 0x4e412ba0, 0x30f188fb, 0x9aa29666,
+    0x8b3a0328, 0xb88b1431, 0x6d7397db, 0x33f28b7e, 0xaabf8d6c, 0xcf04f3b1, 0x35b1ca8a, 0x45e107ba,
+    0xb79e3836, 0xd43f66ce, 0x7f9cc1ee, 0x7e2ed331, 0xf2b7b01b, 0x954d8b7d, 0x5cec986c, 0x6c2a3a1a,
+    0x2a8dfb95, 0xcf0bf7c8, 0x212e51a3, 0xcc757a08, 0xc85c1787, 0xa52fa6fe, 0xcf3348ec, 0xbf93081c,
+    0xd7365504, 0x43100b08, 0xdb38ff83, 0xf594ac6a, 0x1864573f, 0x433db9d6, 0x5c30ea4b, 0x94c320e0,
+    0xac38f549, 0x6321995e, 0x16e62ac1, 0x2c53d2dc, 0x7ce7efd0, 0xc43b7998, 0x6d1d90d6, 0xc5061cd8,
+    0xa42327e2, 0x8bf5ba7c, 0xc0ff1916, 0x648ed2a9, 0xf581f873, 0xd9455d3c, 0x35545377, 0x2f8c908c,
+    0x0f9c488c, 0xbd7f8d9b, 0x16d31472, 0x4505e54b, 0xbbd00f30, 0x58cd7bd3, 0x72879eec, 0x182c2e56,
+    0x26d0ef09, 0x3d2b3a2b, 0xf4d0a81c, 0x534636e5, 0x75a28457, 0xb5d79841, 0x933e8105, 0x3761c4b3,
+    0x16d781f4, 0x2b2949cc, 0xd4cc0504, 0x26faaf1d, 0x4b68a62a, 0x8099f89e, 0x08e81a6f, 0x38482a4d,
+    0x97a0946d, 0x1b9fee2c, 0x83ab7472, 0x3536eb55, 0xb58230e9, 0xe78d9bfb, 0xaef2bdba, 0x07b7d511,
+    0xae8e4d60, 0x3d8f2297, 0xfeedd509, 0xc8a05a08, 0xc21339d2, 0x7b07c1e5, 0xe1ef0a5a, 0x2597322f,
+    0xcbee6861, 0x0801ba6b, 0x5518aedf, 0x1664f6a3, 0x7551a203, 0x44944c6f, 0xab97f604, 0x91af64ee,
+    0x6f28392f, 0xddc8ac69, 0xfde6f614, 0x930f83d5, 0x23344d55, 0xdf256a99, 0xf8d06df3, 0x3613f9e1,
+    0x83cefceb, 0xc69db406, 0x789b75d2, 0x5e407fd0, 0xf77ade6d, 0x776b6f60, 0x87b5c2c3, 0x5ab91f14,
+    0x4111ce2d, 0x8531d2cc, 0x8de52040, 0x0acd0462, 0x656646fb, 0x1b4bd11d, 0x7b580344, 0x7ff94bcd,
+    0x534f198f, 0x3c86b333, 0xb149e8f4, 0x56d9b4bd, 0x66038025, 0x66fc61e4, 0xb893a2b6, 0x2737557b,
+    0xfa8d1ab1, 0xd800788b, 0x2180ce04, 0x0dcd711c, 0x681d59b7, 0xe45bd122, 0x64456c3f, 0x1496636d,
+    0xe86056d5, 0xdd752962, 0xcbebc05a, 0x7670f330, 0x0055b251, 0x98e6e295, 0x92c8cbd1, 0x9ae6ed32,
+    0x3b5325f4, 0xbb2e002c, 0x107a7dbf, 0x80932c93, 0xfeaf1bf3, 0xd2da7593, 0x74cc19c4, 0x24f58b85,
+    0x28b035d9, 0x777bc2fb, 0xef789072, 0x783cc12e, 0xa0f21d9d, 0x628c0218, 0xb39cd0fc, 0x25e985ca,
+    0x19aae01c, 0x81c5ffe1, 0xa999f595, 0x5d7c992c, 0x97d1ca26, 0x61d8ac38, 0x244aa4b8, 0x5c893fec,
+    0x792b508d, 0x9ae1e8e9, 0x56d471ef, 0xe1961faa, 0x2097236c, 0x6688f51a, 0x3a7b59f5, 0xff0a7201,
+    0x78c19c75, 0x533822a1, 0xa2ea66cb, 0x55e22a66, 0xd6b2f13b, 0x8ad670a4, 0x77a52928, 0x67660021,
+    0x0b5d408d, 0x63e3c54e, 0xb209fd8a, 0xe35d75c4, 0x0840db6a, 0x975f6c5e, 0xc2b33e8d, 0x03aaae48,
+    0x360c43c5, 0x80c3c23e, 0xbf961d37, 0xae72d6e3, 0xec798ab4, 0xb771085e, 0x51167fa3, 0xd534a11a,
+    0xf7098a1e, 0x1a4ad814, 0x76bd33cd, 0xe9a9fd94, 0xc1faf64a, 0x3e75759d, 0xb8706f99, 0xaae8a1f7,
+    0x1206d190, 0x04bd97e6, 0x92045e01, 0x7d54afcc, 0xf5621bdb, 0x12aece7f, 0x637ddf3b, 0x6ce1aab1,
+    0xff87dc16, 0x7f896710, 0xca4f8ec0, 0xdc964340, 0xcc816d89, 0xcad3590d, 0xeb684468, 0xf51c75b2,
+    0x6508fe01, 0xacf743cd, 0x42ea13d0, 0xc2c410d0, 0x7e530228, 0x967e9f17, 0x6ef5736b, 0x21564727,
+    0xc201ca8c, 0x46599725, 0xc18cc7f0, 0xf2773370, 0x27f1e393, 0x474cfde6, 0xd7af9bc5, 0x1d90ad60,
+    0x96d6fefc, 0xa5995ed6, 0x0d8f3b82, 0xc8f4f13c, 0xfc939296, 0x033a393b, 0x9a56f479, 0x23345058,
+    0x0558a915, 0x600e6649, 0xda8eb91a, 0x10316971, 0x0225d37a, 0x8a878042, 0xf2b39cae, 0xba0b4134,
+    0x263d127f, 0xbd2aa70a, 0x5e8e1ba6, 0x34f88c11, 0x50783c1e, 0x05a7fd64, 0xcbcdce04, 0x0aab87ab,
+    0xfa1e4003, 0xc29a16e2, 0xbea65dd7, 0x3b5752f5, 0x6a732550, 0x5ac5a33f, 0x2ae62865, 0x8d9692f5,
+    0xdc2684f6, 0xab643e1e, 0x831ea810, 0x27d6d09c, 0x7f26199f, 0xe4001e8d, 0x4e961b08, 0x2efeb608,
+    0xd8d394cf, 0x64554bde, 0x384c09c8, 0xc2b1fa28, 0xcc7e08b4, 0x33ef06bd, 0x7b5b42bb, 0xd8b0e499,
+    0x26958b3a, 0x4e5f24a8, 0x0a9259a7, 0x0b306a29, 0x7cd882e3, 0x2da02463, 0x59cdea57, 0xf70bf71f,
+    0x07df628c, 0xbb8df707, 0x1cfe8b21, 0xfd6aabc2, 0x5b801e12, 0xa7b4c138, 0x5e7578e3, 0x42abab79,
+    0x96b83d05, 0xc5573018, 0x1366de6a, 0xe95bd38d, 0x6a124398, 0x23f225ed, 0xa64d6714, 0xa550b573,
+    0x7e70cfd8, 0x1ae5e8d2, 0x7ca10d9d, 0xdba0bae2, 0xa17c0cab, 0x7f51c276, 0x5be75a34, 0xb7cc8884,
+    0x3ac55483, 0x7c3d08b7, 0x039b27e5, 0xd7728e93, 0x45c09f98, 0x8bd72141, 0xfb3aa788, 0x10beecf9,
+    0xa98f7229, 0xfcda41fb, 0x6218bba2, 0x8de104bc, 0x13d1c530, 0xe2cbf4d4, 0x81e99ae3, 0xf3554fc4,
+    0x81765f73, 0x95a2ba7c, 0x02e9b168, 0x9e7a7133, 0xab3e05ef, 0x17c364fd, 0xaf54ae76, 0xdd144e9a,
+    0x1d0818b0, 0xac30af6f, 0x3560753d, 0xf75c8aa2, 0xa21ed98d, 0x66b2bd96, 0xc8bf5483, 0x985798b4,
+    0x6ee2f7f6, 0x0db96de8, 0x3e02e824, 0xe150e49f, 0x53d85d56, 0x4adb79a2, 0xa2012dea, 0x41d5b483,
+    0x50f51498, 0xc2799938, 0xb167112f, 0x186d4b28, 0x5410ee3a, 0x4614c63c, 0x845d3fe5, 0xdaf425c0,
+    0x17c4273b, 0x95fa668f, 0x1fca8233, 0xcdd00d1d, 0x19ffb56a, 0xd13c0162, 0x8edbc1a2, 0x3ae87856,
+    0x73b870ea, 0x787aad4a, 0x51a1b486, 0x49fab9b0, 0x8eb19901, 0x024875a3, 0x5a5ebc4c, 0x3da2b8b6,
+    0x6d26d0f5, 0x5aa9f6b0, 0xc5f8341c, 0xc4712b4d, 0x60467162, 0xf678f2b5, 0x29e01293, 0x2eb94ef9,
+    0x2cc9c0d2, 0xe5c99a2d, 0xe367f443, 0x19a2bc49, 0xd25e4500, 0xa0d687a2, 0xeed7186e, 0xe6e8645b,
+    0x6fdfac9f, 0xbac9ce04, 0xe2e90002, 0xba9abeee, 0xf2679e08, 0x01922409, 0xf2837be3, 0xa1fb7804,
+    0xbc7706a1, 0x3e7f9dc7, 0x95b50c6d, 0xec03926a, 0x62308750, 0xf8aab2ec, 0xc01d014c, 0xd03b07f0,
+    0x5913c696, 0x3282da8b, 0x4d8d7d77, 0xf24bc9ac, 0x414d5f0c, 0x7fca8ed1, 0x541a8314, 0x9a284b95,
+    0xc01afb3d, 0x4639a1ff, 0xd18d8052, 0xa1360bac, 0x8644be1b, 0x94774e53, 0x44639563, 0xd56fad49,
+    0x77692351, 0x1a69e284, 0xda947004, 0x415fd507, 0x4fe02a06, 0x971459af, 0xc671b3a6, 0xc6b1b8a7,
+    0x7ac96999, 0x4c5dd2f3, 0x765b40a7, 0x4e18f704, 0x53b9a421, 0xe135b698, 0x0a49b80b, 0xf2f0387c,
+    0xa88839ca, 0xda83e87a, 0x6eb6c69a, 0xf6fa2e25, 0xadfcc242, 0x37e3d1d8, 0x4c8a9118, 0xeb611502,
+    0xe8307dfb, 0xac05ead2, 0xd660811c, 0xe0a99e2b, 0x140f2d12, 0x83c39f5f, 0x2f7057d8, 0x50d37e98,
+    0x0d3c69ac, 0xb68e189c, 0x345856be, 0x5a1973c2, 0x9b1d2a67, 0xdd64e18c, 0x3d1a799a, 0xc4622ede,
+    0x00000000,
+    0xdab2020a, 0xceb53a46, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000006901746346790563787434755862277025452451108972170386555162524223799296 */
+  { 0x00000000,
+    0x37b0ed86, 0x3f3b79e2, 0x8b07d141, 0xbf12c271, 0x71f21df6, 0x79450595, 0x575df5ca, 0xf40b8021,
+    0x166d2e76, 0x58efc568, 0xed3d7d43, 0xb4baf625, 0xab949aa1, 0x8d50ea79, 0x95af320e, 0xd6907f27,
+    0xd42c33f4, 0x201debf4, 0xa0cae41e, 0x2c15ed5e, 0x2862b30d, 0xafa7144b, 0x158702cb, 0xa03d1816,
+    0xc8833d06, 0x30a1dd9c, 0xf6aae98f, 0x88e7d287, 0x7554fff9, 0xf5e07c1c, 0x15c7b76a, 0x673f1412,
+    0xe93401b4, 0x268d9e56, 0xe5722b7a, 0x1836fe7a, 0x8d3a7781, 0xc6ca8bca, 0x2a520dae, 0xe7d3facb,
+    0xebaceab1, 0x007a7f8a, 0x94697cd8, 0x26166a55, 0x1cbe4635, 0x425a1f67, 0x0488b5f7, 0x55030ab0,
+    0x40521c49, 0x986ace3d, 0x9b4d3f3a, 0x812434c7, 0x8f5c3108, 0x3640d23c, 0xc13b7c06, 0xefe663ca,
+    0x9664ba3a, 0xcfcc2993, 0x5788dd3e, 0x318db99e, 0xae85e411, 0xfa57da55, 0x2307dd89, 0x881d38f8,
+    0x9e073015, 0x6654a904, 0x586a6903, 0x30fa6b09, 0x495328b5, 0x6692ced4, 0x51b5bad9, 0xdb3f0a2b,
+    0xd30914df, 0xf746141c, 0x45b42d5e, 0x97daf9b1, 0xf5a03c40, 0x2809a435, 0x2bf1f60d, 0x1e8156ae,
+    0xe8d061d9, 0x612b63e7, 0x6037f7d1, 0xc8db8017, 0x86152039, 0x67bfca4d, 0xfd5168f6, 0xe6770a76,
+    0x9cf391d1, 0xeda4a7da, 0x16d7ca10, 0x2d36d091, 0xaa7a97d0, 0xfe8d2d8d, 0x58943e88, 0xd2749711,
+    0x3c311754, 0xd65d158f, 0x31ff00b8, 0xe96d2c95, 0xa47cfdd0, 0x788171ea, 0x56b91ac7, 0x91a02480,
+    0xe121d93a, 0xa4543160, 0x4865fa39, 0xe3721f58, 0x5c89a992, 0x594d2687, 0x8116a80d, 0xd33b70a6,
+    0xfc82a0b6, 0xdf66ead6, 0xfb63b6c0, 0xfc1e1a03, 0xffd76795, 0xcc83f70e, 0x09a77b75, 0x1fe2351b,
+    0xb850e606, 0x8ccbbeeb, 0x5351c827, 0x00890aa9, 0x57bb5ff8, 0x46768a94, 0xffc4ac01, 0x63102e49,
+    0xe38b8a52, 0xfb4bbce1, 0x0ce77473, 0xa4c31421, 0xc134c18c, 0x0c0daf72, 0xe8f1702e, 0xa091599f,
+    0xdfde7081, 0x8037b00e, 0xa0f6bf05, 0xb426c42c, 0x76977708, 0xe4ee8844, 0x7b8a3e13, 0xc10fbf67,
+    0xf3c3ded5, 0x803d56c2, 0xdbcaa95e, 0x95321958, 0xbc5f7c08, 0x28c4605a, 0x0fbbebd5, 0xa5a9b551,
+    0x4341b468, 0x7c3c3a82, 0x99b878da, 0xbc64ba44, 0xb460adee, 0x2573b1d8, 0xf689adeb, 0xb00172a9,
+    0x56b7ad10, 0x8b2212ef, 0x3942422e, 0x91a3e6a4, 0x34b40062, 0x45274cfa, 0xf13a95a9, 0x28b4396a,
+    0xbc476d6f, 0xf92819be, 0x3d23aca3, 0xbb8bb2c7, 0x82504cba, 0x21dff071, 0x4bfd11b6, 0x9610dc64,
+    0x93ddb964, 0x58957cce, 0x1d9752e8, 0x136523c4, 0xed5a58c4, 0x8ebffadd, 0xe9580ab9, 0x2912944c,
+    0x6a34f52c, 0x934cb874, 0x742c2166, 0x36b9df9b, 0x28e7a9ac, 0x2b28700b, 0xbb46f5f9, 0x7d2e1e08,
+    0xb38f2a54, 0x94e74936, 0xe1689ff2, 0x4472baed, 0x44d4df47, 0x074d9cc5, 0x0610f1f3, 0xb5ab8728,
+    0x12148072, 0xf4d32b5e, 0x29ace264, 0x56231a9c, 0xe57ba37b, 0x79a1a827, 0x83c75093, 0xd76dfc85,
+    0xa1ae7087, 0x05915315, 0x58fb4fc9, 0xdea5cba8, 0x4d6f261d, 0xaa28f1bd, 0xbd658cc9, 0x0cca8f51,
+    0x00f5ce57, 0x613966f8, 0x1bb10f9d, 0xf344ed15, 0x4a883de1, 0x2c3880e4, 0x10d2baa2, 0x54a9d436,
+    0x4c26334f, 0xaebf30bf, 0xb085fafe, 0x201a8467, 0xa82ae1ad, 0x5d77b4b6, 0x22b9829b, 0xad3605e4,
+    0x04277097, 0xba9f54c5, 0xac49d077, 0x75df373c, 0xe89f3c6a, 0xf7dbb2b1, 0x429609d3, 0x72dce7e4,
+    0x38f12acd, 0xdec68879, 0x67062d11, 0xb8bfa560, 0x35356091, 0x60a9008b, 0x9fe60dcb, 0x6722b004,
+    0x2039e60a, 0xf6b63569, 0xed794e2b, 0x5d8bd0e2, 0x8b593eeb, 0xa619e2e3, 0x0b51501f, 0x5798a37d,
+    0xa808cbd4, 0xc7f2aeff, 0x0aebb8cd, 0x39401e0c, 0x03941d71, 0xaab66986, 0x0473bede, 0xe7e230e1,
+    0xf6c61e02, 0xfe59cb41, 0xb584db37, 0x7796ab27, 0x77af9614, 0x194afef5, 0x3e41e8c2, 0x54ba577a,
+    0x7e632416, 0x775188ea, 0x4f441c02, 0x67ae55c5, 0x01b40521, 0x5dc20ecb, 0x7697524d, 0xb3d82e70,
+    0x71d54198, 0x16acf19e, 0xbfd3f826, 0x14871e47, 0x47d216b4, 0x0d6911fa, 0x806a1950, 0x754f3b7e,
+    0x00612af2, 0x7b06e7a6, 0x84e7ce6e, 0x050e4ca9, 0x4ea5635f, 0x99e0d47d, 0x8559815f, 0xf0dd0805,
+    0x4931257b, 0xb521a054, 0x63e7c6c4, 0xac5b4cb1, 0x7b263a2d, 0x78a4861c, 0xfa7d87cc, 0xf35b7c93,
+    0x8697919e, 0x166ebce0, 0xd6572a2e, 0x1e82e766, 0xccf23b7c, 0x80bb07e9, 0x678a8588, 0x9a866708,
+    0x9059414b, 0x082aa71d, 0x39d63ba5, 0xc8bec9de, 0x9ecc2eb9, 0xee72e38a, 0x79e9a039, 0x4290bea4,
+    0x8de016bc, 0x38ce5467, 0xba384d0b, 0xc69d42e5, 0x1f5a4aef, 0x84a39d22, 0xb1bfbf80, 0xa648f6c4,
+    0x043adb90, 0x20201cfd, 0x7f174837, 0xeae6b2a2, 0xb0c531f3, 0x8af2d2ad, 0xac56c557, 0x5db6bd82,
+    0x6f2a2172, 0x05495480, 0x90b425fb, 0x25db015f, 0x0f5026ee, 0x7c38ecc6, 0x4cc25e80, 0x3b672c9d,
+    0x601d954d, 0x04bf9146, 0x8ef8812f, 0x5ce65366, 0xf785d69d, 0x1bc34c63, 0xfa7e1292, 0xced5ae9d,
+    0x0f96f57e, 0x13c27e14, 0x01138526, 0x5ee91e99, 0xd56b26b7, 0xbc2196a9, 0x43ddb503, 0xb8f5ed3b,
+    0xfd06b9b7, 0xa8f3ea38, 0x1e55dd11, 0x8f86dd1b, 0x75923600, 0x5e2f48ee, 0xd9911dbd, 0xed8c3cd6,
+    0x9d706d67, 0xd94b840e, 0x3c821896, 0x58ace5fa, 0x0dde7b18, 0x111484d1, 0xa1c0d985, 0x10d0be2d,
+    0xb161d5d5, 0x1db27122, 0x42f641d0, 0x46c07a02, 0x850716e4, 0xed781cb3, 0xa4dbb54b, 0x98f21744,
+    0x103e23f4, 0x990f614c, 0xb24ab990, 0x3bd6d759, 0xc4aeb22c, 0x0700cd97, 0xc4905989, 0x88a975a7,
+    0x1282da6e, 0x5020a687, 0x91f5b7de, 0xed091775, 0x0c1a1a6d, 0x3feb32fd, 0x01197f6a, 0x28edb278,
+    0x0d0f4398, 0x164fbc91, 0x5514a59f, 0xd40e2210, 0xc8806231, 0x7b374d29, 0xd66c8c82, 0x0381bd00,
+    0x9442ffbd, 0x4e8a51a9, 0x05e89b21, 0xb43d69ab, 0x37b603f0, 0x7da860d2, 0x3d93a59c, 0xbdcd796d,
+    0x0edca541, 0x0f99587d, 0xcf7dd804, 0xc08f380b, 0xcb7f84b8, 0xce092352, 0xff2354b2, 0x0b8f4032,
+    0xeaf6558d, 0xbe31468f, 0x862559dd, 0x52f56dba, 0x7949f427, 0x8153b09d, 0x7023f185, 0x38b275a7,
+    0x96868b14, 0x85272e74, 0xdd71e2c6, 0x029c071c, 0xa1f2012e, 0x34a48a28, 0x5ef1f6f8, 0x54aa53f3,
+    0xb83b755f, 0x8500f8bd, 0xfa01edb5, 0x808e3fb9, 0x39c9b1ba, 0xcbc4b8f5, 0x96f522dd, 0x9a5e5f74,
+    0xc8c8e8d9, 0xbebf6042, 0x974b32ef, 0xe186d11d, 0x54d786a4, 0xfc490ec8, 0x7e64cd2d, 0xce783658,
+    0x9094ec72, 0x508a4fea, 0x45bd3f2b, 0xca68988f, 0x319fd800, 0x08811ef4, 0x01aa05cc, 0x2c78b3d4,
+    0x327fa40f, 0x5b7e2cf0, 0xbac1f819, 0x970b411b, 0x80de8035, 0xc4f0b2a6, 0x1fedaff2, 0x833e00de,
+    0x5fa69db1, 0xff3e8442, 0xa9c9eccd, 0x4ea43b52, 0x5930f134, 0x76fa0082, 0x380a579f, 0xa386d7c6,
+    0x75ac903e, 0x73c06a72, 0xc02a0274, 0x0fe00c0a, 0xaa8bacbd, 0x64c5ccfb, 0x0aaab8fb, 0x22f61846,
+    0xf855be6a, 0x947fbb50, 0x3f1568d0, 0xb2eb24d3, 0xc1f2c3bc, 0xfc103344, 0x382139f3, 0x9a631f98,
+    0xeb8dbb78, 0x4203c373, 0xfc78396f, 0x7f5532e3, 0x56c8f25e, 0x3fc549a6, 0x266b0f33, 0x327e2638,
+    0xb2c2d770, 0x084404e0, 0x70bab63c, 0xafb355cf, 0x66199f75, 0xc7a04398, 0xf3fc48de, 0xa0d71341,
+    0xbe9d9249, 0x8c31550d, 0x78228612, 0x2b9a5b49, 0xbae6d749, 0xdabbc661, 0xee3c2a73, 0x5bd1b69c,
+    0xd91a27cc, 0xe19f8196, 0x09d0e3ad, 0xd1c93987, 0xb773cad1, 0x8391d332, 0x66097429, 0x8e69b03c,
+    0xb4e85a57, 0xc7337569, 0x1b1f6a78, 0x2a7613ba, 0x6565f966, 0x38a51644, 0x07211c80, 0x1206e583,
+    0x46b05125, 0xcf51f34f, 0x3080ef09, 0x2a93e321, 0x39f26cc7, 0x5dd3ed37, 0xdc623731, 0xd3482ab5,
+    0xeaa912b5, 0x03631ff2, 0x1343329e, 0xe91ef9ec, 0x2f052b5d, 0xc0a0241d, 0x900de943, 0xc239d740,
+    0x24e96c85, 0xcc84d73c, 0x5e5ea815, 0x46a0e6d8, 0xee151db2, 0x73026c82, 0x8b36b96c, 0xf6b584ec,
+    0x95358b9d, 0xd072bff5, 0x2a99f0b4, 0x2bc3cb08, 0x96fc0b09, 0x78ec79b4, 0x7c810a5b, 0x65a9f936,
+    0xf325e10b, 0x64e3b067, 0xe3dda607, 0x283a4ed4, 0x34e8a6e5, 0x583698f9, 0x5c383a66, 0xbf227c8c,
+    0x8acdece1, 0x8f4e0977, 0x64f9a2e8, 0xac801c00, 0xb356bb9f, 0xc9f1b271, 0xf69a7f95, 0x88bea90e,
+    0x17148a0e, 0xf7d87e81, 0xc2f2126a, 0x2f4f7733, 0x59e17525, 0xcfd87fa7, 0xcbc8bb77, 0xd0e57937,
+    0x6a7e3bee, 0x1d60dbcd, 0x5477a9ad, 0xd97bd688, 0x61c36ce7, 0xd7e1d11d, 0xa93e3cd0, 0xc7a1c827,
+    0x878f70a9, 0xbf32e99f, 0x82ee4641, 0x5a32fcfa, 0x581aacf1, 0x897345d8, 0x20ab3755, 0x15c17a55,
+    0x6bd4ab77, 0x112c4013, 0x83746fcd, 0x541fb387, 0x085ecc8c, 0x8d5c8316, 0x12c5347f, 0x02067a9f,
+    0x9a094d44, 0x3a521799, 0x71d97aa3, 0xf69b91ba, 0x76684f5b, 0x64c018f5, 0xd84bc82c, 0x2e8cc84c,
+    0x6680bb1b, 0xc7b12c38, 0x86351601, 0xbcc66bc5, 0xfcc6c93b, 0x51a39fd3, 0x1b336e09, 0x24a46850,
+    0x5bdfd342, 0x41d0a57a, 0xbc1cc7a8, 0x3599191d, 0x14142a63, 0x1d42e8fa, 0x8a401eb6, 0x3d79bc15,
+    0xe686ef27, 0x414c8eef, 0x79ab086f, 0x84101cfd, 0xde25adf0, 0xd45dc1ec, 0x5733346b, 0xf66ff833,
+    0x2b63e326, 0xae657af4, 0xa2ea28c1, 0x88b8a144, 0x2ccaf64d, 0x947683de, 0x709fab24, 0x239a9f4c,
+    0xab9d8dca, 0xef8cd988, 0x0270dd3f, 0x2959c5c7, 0x87c0e9ab, 0x19285875, 0xcb0a3462, 0x5dc70a02,
+    0xde2b40c1, 0xf20354e6, 0x6b8bc848, 0x460b9f06, 0x81b75da2, 0x5ebda19b, 0xc44a683d, 0xf7cc4754,
+    0x361947c2, 0x879dd9d3, 0x8da2d2dc, 0xc2feac39, 0x34a84cd9, 0x91384e03, 0xb9a10d73, 0x2401657b,
+    0x1a7b0f62, 0x483db69f, 0xa0ce55a4, 0x6c679058, 0x4071ff6e, 0x021edba6, 0xf5dc6f90, 0x6fb86718,
+    0x8872661e, 0x27700b7a, 0xc8619e69, 0x11b637d8, 0x34fecbe7, 0x7b1621a8, 0x0d3d610e, 0x2aa5fa65,
+    0x1272a0ff, 0x3c8f23b8, 0xe6a74271, 0xc61706d0, 0x227c47d1, 0xb0cc9ef5, 0xae91ec1d, 0x9592f090,
+    0x2908d9e5, 0xc606a341, 0xad30eb6b, 0x6b76aee1, 0x06d2c673, 0x1b5bc67d, 0x39a9f4ce, 0x1de6f73b,
+    0xf5bbb835, 0x655cb83d, 0x0d073121, 0xa6d48aba, 0xfc1fcae7, 0xf7f6703d, 0x92242621, 0x99d3ea9c,
+    0x5b206aaa, 0xf43e4349, 0x84a45060, 0x21c3d645, 0x161fe58f, 0x6b52346d, 0x3d17b0f2, 0x85f370a4,
+    0x5eee3f49, 0x2395be3f, 0x126864de, 0xc80efa10, 0xfaab0c18, 0x4fb73983, 0xf3617bb8, 0xd49b287d,
+    0x7278f19e, 0x27e91039, 0x70530f05, 0x068ef735, 0x81f7f9df, 0xcbcace47, 0x2b73f062, 0x9b3a55c6,
+    0x09a8034d, 0x1b503f38, 0xcfca4547, 0x53ab78c3, 0xb3ec53b5, 0xbbd1a0a7, 0x264dbfda, 0x7212712f,
+    0x458dee97, 0xddc5f7fe, 0x5a02d692, 0x2857fa19, 0x36299854, 0xb711ad42, 0xddcfa71e, 0x4442e9c7,
+    0x2ab66c09, 0x7c7909e4, 0x9c596b3f, 0x42fdcb72, 0xc6503b26, 0xf1724ac9, 0xb95d7762, 0x09f8a006,
+    0x729d4ce6, 0x66194fb1, 0x3a1d5ce5, 0x521a7297, 0xf94522ae, 0xd8cf13bc, 0x07b273e8, 0x4fec843a,
+    0xf673239f, 0x281ad063, 0xa3eb64c9, 0x96bda4b0, 0x78abf098, 0x19830ece, 0x6f8ba69a, 0x4918affc,
+    0x5ea75ac3, 0x7cc367cf, 0xb08fe75f, 0xf6b8803b, 0xdf9babd6, 0xd64dbc74, 0x8b4deec8, 0x3ae3e741,
+    0xee954e37, 0x93c0213b, 0xba718f9d, 0x2695e453, 0xab1e272c, 0x096ba231, 0x2ad36ce9, 0x501a0e4c,
+    0xde8ef01b, 0x55602bba, 0x4b1ced00, 0x90697891, 0xba73c499, 0x969a953e, 0x384d91ea, 0x2cf8f8e4,
+    0x9b8a4d50, 0xf64ea5af, 0x1e603b4a, 0xc7e9b9f3, 0x2a520daf, 0x5cc52374, 0x158d21f6, 0x7bb12d20,
+    0x5c9b5305, 0x6a051bf4, 0x91fdd7a4, 0x4d1d5919, 0x640351dc, 0x8c667b56, 0xe301ce30, 0xc03d88cd,
+    0x50d017b7, 0xc51cf7e2, 0x1e13a409, 0x65d5fc5a, 0xa94213d2, 0xcd1f9464, 0x4be58591, 0x0731a41d,
+    0x5b1d2748, 0x8457c553, 0xe9e7e8d7, 0x51d31447, 0x37bbf346, 0x40fc14ea, 0xde35fa7b, 0x8efc083b,
+    0x2e62a5de, 0x63ee9913, 0x2f24c3c0, 0xc1da3b62, 0xa7f9484f, 0x7bea9877, 0x80ff874f, 0xaa8ce223,
+    0x7ec2046b, 0x8e2d5bbb, 0x9eaa230d, 0xfe488dfe, 0xec28f9b7, 0x11aa415b, 0x5a741b23, 0x8f4c14a8,
+    0xc32ac532, 0x2e41e938, 0x9b2d09c1, 0x77192457, 0xc3bc4e47, 0x82f92f19, 0x86d8ef03, 0xc105f363,
+    0x6dd57c03, 0xe9beaa46, 0xadf16e71, 0xbddd1cfa, 0xe53a20ef, 0x7027c9e2, 0xa0fa2e97, 0xf0339512,
+    0xf91f64eb, 0xead75840, 0x4df4e548, 0x94a78f15, 0xcb4bcfef, 0xbcfe88c0, 0xa935b83c, 0x72ce24f9,
+    0xc82b9f02, 0xa9e01c0a, 0xfcad0885, 0x0f9a6f17, 0x4f8da9fb, 0x5746a6e5, 0xa4bb4260, 0x0194d8cc,
+    0x6b1623cc, 0x270e7e52, 0x3a6d39ea, 0xfbab7750, 0xa38b923c, 0xc362fd54, 0xea97b0f9, 0xd4323eaf,
+    0x16fb88fb, 0xbf68f9a7, 0x3aba9f99, 0x8d173887, 0x5f2d91f5, 0x925389c8, 0x93600126, 0xa603b069,
+    0x81ec1ca3, 0x9bd488d2, 0xedcc4991, 0xe1e1907b, 0x2dcb8e3e, 0xd4ffd172, 0x04eb572d, 0x5c639f4e,
+    0x8cade6dc, 0xbbdee818, 0x12e950de, 0xfec845c2, 0x99269df9, 0x09371122, 0xd67de7c2, 0xe09cc4bc,
+    0xfa44ae90, 0x36b8950f, 0x6af31660, 0x4ef061f7, 0xdd63cf0d, 0x4ef06872, 0xb4f8107f, 0xa0ec5d29,
+    0x457b8055, 0xed5f2d3d, 0x631c30d9, 0xbea26da3, 0xfce7ee27, 0x06214148, 0x468f78f1, 0xd37165a7,
+    0x56d38fda, 0x98630921, 0x6c2b79ed, 0xca9e09c0, 0xba3d865a, 0xeeddb1be, 0xf2cf7236, 0xb44d1bb1,
+    0x5939201b, 0x979f7771, 0x97b15d29, 0xf2b8cb5f, 0x5def3123, 0x25ac3695, 0xd9ca4c59, 0xdef97a9e,
+    0xc477452d, 0xab4ad062, 0x141b1793, 0xe037a132, 0xa040c064, 0xd15f5d28, 0x2e8903a6, 0xc52059e5,
+    0x4bb27ccb, 0xd7f45c66, 0x1475181c, 0x7b999f3b, 0x6353e1db, 0xd6e08404, 0x21535a47, 0xb8653326,
+    0x0c249c89, 0x8bc38326, 0x0a79ca27, 0x9a4313e4, 0xb148c2c2, 0x9e672fd8, 0xe1926c8d, 0x30525bee,
+    0x4ab9987c, 0xb7647e8a, 0x6a369bbd, 0x8defbd40, 0x57df0bcb, 0xb3a49345, 0x4f4c5c18, 0x8670d4d2,
+    0xccde2ea5, 0x18cf4680, 0x5176d879, 0x3d51d7af, 0xd2d28f77, 0xd74b8f42, 0xcd1a47b2, 0x0a0827dc,
+    0x1fb024c0, 0x34dd5d4d, 0xd2f746c6, 0xb8eb3e0c, 0xdf20f539, 0x91e1da52, 0x6afeb68c, 0xc394c37b,
+    0x301bf90a, 0xc164f9c0, 0x71d1a64f, 0x4603fbfa, 0x6643bc8d, 0x8e6fb916, 0x313f1236, 0xe03813c3,
+    0x00000000,
+    0x6d590104, 0x675a9d23, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000003450873173395281893717377931138512726225554486085193277581262111899648 */
+  { 0x00000000,
+    0x8aafe4d9, 0xde77e784, 0x1f7c63f2, 0x6918b209, 0x1111903e, 0xc45acb91, 0x3e8a35ce, 0x769ed64a,
+    0x985431a1, 0x08d63f57, 0xbcf1c56c, 0xae44efa1, 0xb73d6d4d, 0xe16dd6f7, 0x451ce278, 0x40c4604a,
+    0xdb4ed208, 0x0ed94762, 0x957cd485, 0x78a22ada, 0x3985eac9, 0xa838f80a, 0xbc502ce0, 0x3b54ed56,
+    0x60e4bed6, 0x5e036329, 0x34717903, 0x8d656a6a, 0xeac82a50, 0x9e3def02, 0x112a7ad2, 0x93d58a22,
+    0xdca6a3de, 0x9d9bbbae, 0xe932923e, 0xb7697e1a, 0xed4ce48f, 0x0c15f5b9, 0x2afa19c0, 0x44ecbd1d,
+    0xd3600567, 0xbee47809, 0x1746b566, 0xe8aa8e24, 0xebaf0def, 0x08744981, 0xa92b1b6a, 0xc930d9b0,
+    0x358fede0, 0xfcef2c6e, 0x504954cf, 0x86a7b78b, 0xc2e9dceb, 0x6bb348c1, 0x6243a49e, 0x95c106ce,
+    0x6d626e4b, 0x00bbbe87, 0x10844d8c, 0x5add6a37, 0xb871ce82, 0xe872cbdf, 0x6e83a478, 0x60cec293,
+    0x20603e3c, 0x5ed64ae5, 0xd20aae73, 0x23c34865, 0xf05c045e, 0x6b2ab43c, 0xfc331069, 0x879abfdb,
+    0xdabf9165, 0xbdfde621, 0x9c88e075, 0xe910c8d3, 0x37310e20, 0xfc98a29a, 0x84ff1138, 0xee2a9e6f,
+    0x6dc9a605, 0x9531bd1c, 0x5b4d8c46, 0x8acc2f74, 0x6fb344dd, 0xd4b50f72, 0x36fc2355, 0x7086c2e0,
+    0xa387f64d, 0xe8c55c0b, 0x24eb9d53, 0x97e2ff4e, 0xe5df24bc, 0x14f044e1, 0xca2beb26, 0x845e3944,
+    0xd183b435, 0x4fe7e5bc, 0xb9136a53, 0x2c4a3439, 0xa0b860c5, 0x3a021360, 0x50abfc5d, 0x0125b60e,
+    0xa7e1f1c7, 0x86705173, 0xa8a1f118, 0xd11cdffc, 0x59031fb8, 0xd0bed31f, 0x19031cfa, 0x66407cff,
+    0xec93f4e0, 0x27a9fd7f, 0x1151be95, 0x7634ea84, 0x129d2fbe, 0x995bb95f, 0x91f1e84c, 0x0ef10824,
+    0xbd15ef23, 0xa6e6a372, 0x87fa4c9d, 0x6144eed0, 0x2837b3ee, 0xba387769, 0x973c00ff, 0x566e34ac,
+    0xb6613943, 0x296f3322, 0x38f73948, 0x1a9386ef, 0x6022d28b, 0x35f15bec, 0x66e212b1, 0xaf31cc37,
+    0xa5e09ed5, 0xa663e811, 0x2fd4571a, 0x2f560848, 0x3c8f1559, 0x90133ae4, 0x89f9193d, 0x2aa5452c,
+    0x2b99a5fd, 0x66f8553b, 0x3f186ddb, 0xbc0a4343, 0x3d6ec733, 0xdee03a1d, 0xc6eb593d, 0x8f6878a4,
+    0x8c465d4f, 0x745f1c3b, 0xe3310d60, 0x06ec00e4, 0x5a84534b, 0x6e92162c, 0x3163c354, 0x03ff51fe,
+    0x1c61fa15, 0xf34ba431, 0xa3abe08f, 0x919a00e9, 0x4b545fc3, 0x5dda8fb9, 0xafaf5a89, 0x612cfe7b,
+    0x46e14289, 0x186ed5f2, 0x189e75fa, 0x1a8a67c9, 0x011bd0c7, 0x0247e043, 0x5aeeb020, 0x239f3f5b,
+    0xbb494b32, 0x64b7936b, 0xaded904b, 0x5852e4dc, 0xf8adfed5, 0xd01bddc8, 0xe499554b, 0xab86996b,
+    0xd322c1cc, 0x6ae0f6d3, 0x7d339a42, 0x5d3f616d, 0x27ce47e0, 0x42c7d1a9, 0x4a9a74ca, 0xda056693,
+    0x717bec51, 0xf03c8c1b, 0x7d12fe8f, 0x3b6059ee, 0x95fed682, 0x4519963c, 0x93141a25, 0x99e93506,
+    0x5e61abef, 0xe1ef78d6, 0xb359c253, 0x7a3c2c3a, 0x06b4e932, 0xaf345345, 0xadfbd766, 0xe088d213,
+    0x1be93d2a, 0x500b334e, 0xa86801c6, 0xb470a2c0, 0x2e5e7ef9, 0xb842f896, 0x9f01cde2, 0x8b0c4e13,
+    0xfa44cb25, 0x4d285033, 0x2656a235, 0x534a4124, 0xe26c9c0b, 0x47e68c03, 0x7cd5c5f2, 0xeb918de9,
+    0x701bfe0e, 0x75a5781f, 0xcbd7df67, 0xc6f9ac9b, 0x15b2e5da, 0xd50b6d32, 0x9e837594, 0xf445c55f,
+    0xad0d2a83, 0xcb3130c3, 0xbb7af8d6, 0x544d06b3, 0xccd8dd9e, 0x1721f228, 0xf585ef45, 0xaee4a5f6,
+    0x5f96b7e1, 0xfd291733, 0xabec7231, 0xabf5bcd6, 0xe69b8481, 0xce24b2da, 0xf0e77bd6, 0x4048d506,
+    0x5fc8cfbe, 0x6c45ba89, 0xaee4db26, 0x3d4f6688, 0xeadacd38, 0xbe2c68b5, 0x6913ef60, 0x71076db5,
+    0xdcd26c2d, 0xcf22d6d9, 0xa431212d, 0x39330330, 0x1fb40d6e, 0x6aa89d26, 0x8dddd7d3, 0x9266c5cb,
+    0xf27cbb40, 0xd9eb9a01, 0x79527318, 0xc88b1df9, 0x633d2ec7, 0x4a056fd1, 0x5720b0e9, 0x00e19cd0,
+    0x446d4b18, 0x86389761, 0x8f9fb828, 0x4c9adbcd, 0xec1a0966, 0x1ebd486b, 0x9e983f4e, 0xf3728e9d,
+    0x7b571a8f, 0xbbfb0540, 0x7ba11191, 0xc42fe559, 0xadd5960d, 0xbdc0fb24, 0x0854a4af, 0x59a46dc8,
+    0x9e08768d, 0x5445f258, 0x29b7462f, 0x4be0ddaf, 0xe3581b7f, 0x38fc2b04, 0x6cb5b9ce, 0x50b9410e,
+    0x3b84c2da, 0x899504e6, 0x38d176e3, 0x933d5de7, 0xc126aac7, 0xfa97fd5c, 0x3067ab35, 0x39600120,
+    0xfa917bb0, 0x390e3301, 0x2252f669, 0x20c99fca, 0x6e9b0304, 0x1262442a, 0xf9c44caf, 0xa7dbc6b6,
+    0xde00ffcc, 0xdc38cf19, 0x802f1929, 0xe6683ba7, 0x0b955f03, 0x6e4aff1f, 0x03af1752, 0x99a912c4,
+    0x6d6a7eea, 0x49ab7999, 0xdd4097b6, 0x7d8e521b, 0xd16c7e56, 0xef70b534, 0x6aa5f577, 0xbc82a4a3,
+    0xfc57698c, 0x79a851ed, 0xed3af168, 0x8f980d1b, 0x943bee25, 0x59fe2945, 0x8888c9e1, 0x120af171,
+    0xa64c6d98, 0x62fb0124, 0x8a1c364c, 0x3ac135cc, 0x182a4a14, 0x56afef1b, 0x0875554d, 0x43fa706a,
+    0x9ddf7fb9, 0xcacc21d2, 0xaf2f44f1, 0x63ab7424, 0xe8954c68, 0xd5699dde, 0xb0c7a640, 0x93356049,
+    0xde9dfa19, 0xfd789441, 0x1b865078, 0x02c7d0c8, 0x937700fa, 0xdba518dc, 0x55a67e99, 0xd8029428,
+    0xf4e4e091, 0xc12fb266, 0x4f29e551, 0x3399a306, 0xd075eb4a, 0x70a2f394, 0xf14c94db, 0x17a4cb84,
+    0x521baa85, 0x88e997cc, 0x005ccc27, 0x5cb5205c, 0xdc7102e1, 0xeefad459, 0xba22b1f4, 0xdfed4afb,
+    0x44d4386d, 0x6b0beb14, 0xa4a2a677, 0x90eac093, 0xfa14d996, 0x624c46ff, 0x4fcd55f5, 0x4f193f23,
+    0xd60cdc41, 0xe1a91fef, 0x190fa9bf, 0x69b00e85, 0x082dc836, 0x154fadaa, 0x41cc0d23, 0x47d55d8c,
+    0x1cb43573, 0x5e050e8a, 0x86bdf1a7, 0x736b2b17, 0x1e722400, 0x7e98927a, 0x7d748b5b, 0xee2eb484,
+    0x1742e2b7, 0x1f98c9b8, 0xd2e89009, 0x82783813, 0xc18d9d25, 0xd07531ec, 0x11c38158, 0x09e0aeb9,
+    0x57655749, 0x2090955d, 0xecf02a95, 0xe72e04da, 0x67d741e4, 0x71d2f72f, 0xf3ba6bf2, 0xd78d79a2,
+    0x256854ec, 0x6962caaa, 0x1069d897, 0x8b29afa7, 0x04c4463a, 0xb0fff2e9, 0x1ea96113, 0x3a01e5f0,
+    0xee3edba2, 0xeb43ba2b, 0xbb230722, 0xbc11a322, 0xc675df9a, 0x0231e20c, 0x03fa16bf, 0xa775cb11,
+    0x648441a1, 0xe3e15c24, 0x722f5d45, 0x00712da8, 0xed5aa9bc, 0xe823566b, 0xf00a4373, 0x6f75e122,
+    0x427df39d, 0x38416339, 0x7b92fca8, 0x18b601a5, 0xceeb2c6f, 0xb5aa2e50, 0xafcfbede, 0xaf7699fe,
+    0xc36503a6, 0x47efc158, 0x0395b0de, 0x9decc311, 0x968cb949, 0xdf68b1a0, 0x2c48af55, 0x0c97f18e,
+    0x9d3336c4, 0x616c260b, 0xe7468299, 0x805b7df7, 0x5225969b, 0x4d947ff4, 0xc753d5cc, 0xa1c34a5f,
+    0xb00132b4, 0x7bb3dbbb, 0x621abbb9, 0x456278d3, 0x7f4bc4a3, 0xa1779648, 0xec2a1aa9, 0x84a36c35,
+    0xa9c5daf9, 0x81e87433, 0xbf28b45f, 0xaa3825ed, 0xd61e73a4, 0xf5b55c0e, 0xaf2cbb53, 0x867a2cfc,
+    0xd08f4744, 0xcadd66b5, 0x80f35d34, 0x579fded4, 0x472634ed, 0xfe8e3ef0, 0xacf284fd, 0x685e385b,
+    0x91324150, 0x7cffc8ec, 0x10d96cf7, 0xf935fcbd, 0xa09d0112, 0x025da8c0, 0x5467ac8b, 0x94778ae5,
+    0xeedd426a, 0xae91860c, 0x17bc42d7, 0x2752ef52, 0x10e63a67, 0xb9538400, 0x13545813, 0x76c02c0b,
+    0xd6e1e6e7, 0x4dabe8b2, 0x3f678e2a, 0x4faa3a79, 0x948d1cbd, 0x3b589bdd, 0x9365e4e4, 0xdf38a6ce,
+    0xdff73226, 0xd9691c57, 0xe2cbfd23, 0xb991c3fc, 0xcd985243, 0x71431ec4, 0xd9cfafb0, 0xe87952f4,
+    0x8c7e370c, 0x247e03b6, 0xf00326da, 0xb88a61d9, 0xd308b12a, 0x316269d3, 0xa831508c, 0x64158bc9,
+    0x21f79f30, 0xe2834f82, 0x5bd1d6a9, 0x65a4656b, 0x5cadddf2, 0xb8885098, 0xc8eb83b4, 0xd3c434b1,
+    0xae24816d, 0x710af1a5, 0xdd65560b, 0x2648e4e2, 0xbcae919e, 0x553be69a, 0x8efd463f, 0xd83f1198,
+    0x22e11ae2, 0x10bebcc2, 0xbbdd0556, 0x75a3d858, 0x951d9ed5, 0x24d617d9, 0x9be8c0f4, 0x774a7717,
+    0x67a234ef, 0x5228d306, 0x0112388f, 0xa9f74538, 0xac91d59c, 0x1661409a, 0x1524ab49, 0x1ee8507c,
+    0x9336ed9c, 0x8563e982, 0xb2da3142, 0xf1cb3335, 0x2699ef8a, 0x29ea9b12, 0xc7df3cbe, 0xc659d650,
+    0x7b48713a, 0xc014bfd5, 0xf2eb0957, 0x5c42f183, 0x777edb25, 0xe62dca77, 0xb15806d1, 0x7ca4485e,
+    0x53f41e20, 0x3b0de2ef, 0x9ef2e3a8, 0x1d4ed43d, 0x033f1b9f, 0x08f24fbf, 0x0649b567, 0xc041b446,
+    0xdd4bea72, 0x6256acf3, 0xc69c5122, 0x0b5e25b8, 0xebce8da2, 0xfb25dae1, 0xeb9e59ac, 0x07b2bc5f,
+    0x9a69ca56, 0xa46e9fbf, 0x468a576b, 0x2c0f70e4, 0x4243e37e, 0x8e705c7f, 0x698b79d6, 0xa4e117dd,
+    0x29f21551, 0x340f6af1, 0xcfffc7e8, 0x21bc6fc5, 0x420d295a, 0x1b6a4864, 0x121d6232, 0x17ae6c6d,
+    0xf5316ffa, 0xb8e59cd3, 0xe2b00ff1, 0x7000b376, 0x8b0e28b7, 0x9680eda1, 0xa1a7cc27, 0xa241e1fc,
+    0x896f74fe, 0x992e66e3, 0x3f5ab5ed, 0x1fb29ba6, 0x871969c2, 0x95f6a9ee, 0x49081e46, 0x91b93b41,
+    0x1900148c, 0x7fef09bd, 0x2862c96f, 0x5cbdd3d0, 0x26bfc6fe, 0xa3126a4d, 0xd648256e, 0x360a942b,
+    0x621986b5, 0x9c071838, 0x23c27ad5, 0x629a6556, 0xbb00cfa6, 0x0db1ff98, 0xdfb25e3f, 0x9070a1b9,
+    0xff015d91, 0x018bb5bf, 0x81313ab2, 0x6583187d, 0xe10edb01, 0xf09aee6f, 0xcb295580, 0xc8734246,
+    0x08da7b9d, 0xc1f7ffa6, 0xb0d031c0, 0xe7a271ca, 0xc8990323, 0x41616bd3, 0x1eb341a4, 0xdc236e1e,
+    0x83492d08, 0x20f4dd16, 0xa102fba1, 0x1c9a5223, 0x8a25a802, 0xadcfaacf, 0xcd99afb7, 0x5eb1bf68,
+    0xfc8a9b92, 0x752bb64a, 0x12400ca7, 0x42f98e7a, 0x8b2a7342, 0x41ca31a3, 0xb3d396ee, 0x5f7017c9,
+    0x3e64b779, 0x44731bc1, 0xfe5c0997, 0xad674a03, 0xc43a0d8d, 0x66feed11, 0x9dfca97b, 0x7bca93bd,
+    0x74f06ca3, 0x5bb4c4dc, 0xb036ca1a, 0xbee9190d, 0xdc68039e, 0x8b5175fd, 0xbddf9098, 0xc9ca83c9,
+    0x9ebe1c1a, 0x9f41b8b4, 0x06f382f8, 0xbc4a66af, 0xc1547829, 0x98562260, 0xc0b8bcc2, 0x4771c473,
+    0x373297ba, 0xc723e1f3, 0xa5bfd2ea, 0x28992a97, 0xd61c26af, 0xfcb9a890, 0xbd4907dd, 0x942e4efb,
+    0xd72379ae, 0xa67f4837, 0x4ffdda8d, 0xac552605, 0x0f3feec0, 0x0d205afb, 0x943ad823, 0x0c91ef3a,
+    0xf69b9ddb, 0x7e5b3e3b, 0x50f766c3, 0x4a1dc05b, 0x0cefd80f, 0x010526f3, 0x2cb2549d, 0x384eafd1,
+    0x67c3de64, 0x2ba1da27, 0x3c0fbf12, 0x1180bdda, 0x6a163c63, 0x147c520b, 0x01348878, 0x34123073,
+    0x4dbc0509, 0xbc6d127a, 0xe166d813, 0x8378dfff, 0xa192cf93, 0xbe9060c8, 0x14cfaaa8, 0x2c0c9a9b,
+    0x713c2b2f, 0xe903463c, 0x44591443, 0xedd625b4, 0xd2876140, 0x0bbeb4d1, 0xaa1fb34d, 0x4c800210,
+    0x5585fea2, 0x615bf9fc, 0x8e9f3c0a, 0x7f64c8fe, 0x76c9c42d, 0xc4b29ce4, 0xbff57501, 0x7ada1865,
+    0xf38e1d15, 0x049d28ae, 0x9c5470f3, 0xb2e4a4a9, 0xba082e62, 0x581d7797, 0xab17d07d, 0x459c2652,
+    0xfc856f03, 0x103f681f, 0xa12aa635, 0x302b8d46, 0x873f78d8, 0x643d70be, 0x4bc38a89, 0x7260bc3d,
+    0x3333c387, 0x6d174234, 0xbc327a65, 0x0ef35c10, 0xa8c0106a, 0x6704cbe0, 0x68918d2b, 0xb8538c2c,
+    0xeb811b0d, 0x98cf1797, 0xeeccaeed, 0xf9d541d1, 0xb10a8aa1, 0x1b4b7d81, 0xed6e6814, 0xbd799a47,
+    0x176c0684, 0x560d9099, 0x1030d467, 0xed0e2b6d, 0x51da1584, 0x79bc60e9, 0xcb3807bf, 0xf41d2d5f,
+    0xf8d8178c, 0x66039061, 0x41deafb7, 0xe0268740, 0xa3c9c5cc, 0xd1d10456, 0xc9c8a34e, 0x09c14ced,
+    0x40710370, 0xfbdcdedd, 0x58350c27, 0xf98d125f, 0x512c218d, 0x7d660dde, 0x74f3908a, 0xc54c4f0b,
+    0x10954028, 0x5f0c7e75, 0xff34edf6, 0x43358b4f, 0xa9c4adfe, 0xa4a43f6e, 0x0028b514, 0x182dfda8,
+    0x366af914, 0xc6e6cc85, 0x4e4f09cf, 0x57a96180, 0xa2525cc7, 0x26b82797, 0xbb107d23, 0xf8ea9d65,
+    0x49eb5afc, 0x87e9ac99, 0x636c8246, 0xbd550bfb, 0x7dd78c5c, 0x03d1310c, 0x567821fd, 0x718c173a,
+    0x0c8dfe96, 0x51b5bc2f, 0xee97c80a, 0x25dd3663, 0x5a082548, 0x93f529ad, 0xbf3255e8, 0x2e69abea,
+    0xb835b671, 0x04cb6105, 0xee03f7a5, 0xfd380925, 0x6f30a37b, 0xcdd99233, 0x38456e2d, 0x46365e55,
+    0x4b26879c, 0x5ce76f5e, 0xc07e3250, 0x3ed7dfad, 0x3f8d4b7c, 0x19939f02, 0xff996130, 0x6fd82be8,
+    0xe2756c02, 0x0a9ba089, 0x886aef84, 0xc6792ec2, 0xcd8567d7, 0x49851695, 0xa89da432, 0x9bdab489,
+    0xbeb6c211, 0x4c967b51, 0x0311710b, 0xd90f962b, 0xee456c6d, 0xffcce52b, 0xbcac900a, 0xdc762ca9,
+    0x0a8861f1, 0x30267f5f, 0xc577670a, 0x3505dc4f, 0xcaf6b672, 0xe1543f2f, 0xb27d1f0c, 0x0cfdeb03,
+    0xd961c623, 0x2df492e6, 0x28bbf954, 0x7a4e852c, 0x634095bc, 0x803d60cb, 0x58017fb4, 0x690896c2,
+    0x8a473cae, 0x8354a2f4, 0xc4c57629, 0x8aae2439, 0x2640031c, 0x3da56f9e, 0x1882f709, 0x3d6ce341,
+    0x7f509c02, 0xc5f3ac7d, 0x837561f5, 0xb4116d8e, 0xdf07bbbc, 0x545a9b1a, 0x4909e78e, 0xc980c9e7,
+    0x4e097e94, 0x44298a50, 0xc592be0c, 0x3757f84e, 0xe6750efe, 0x8ee693f3, 0xe82724d9, 0xd8041791,
+    0x8445debe, 0x03665cd0, 0x0bf33b10, 0x0c879ab5, 0xd82e132e, 0x79dc9c81, 0x183eab07, 0x2ae62c53,
+    0x72a6a916, 0x59073653, 0xce8f7de7, 0x827e7425, 0x87350143, 0x7ceba2b8, 0x2e1476d9, 0x2f072f2c,
+    0x1b82b0da, 0x37e0a7f8, 0x59c6330d, 0x11ff2995, 0x5d4d412b, 0x6454cfa9, 0x5863afb2, 0x6d610fab,
+    0x8900699c, 0xc47663f4, 0x28838557, 0xc5b91553, 0x3ccff4fc, 0xfc7f26ec, 0x4717909e, 0x18756126,
+    0xbc3bed5a, 0xb087ba70, 0x280a4201, 0xe553a8bb, 0x64489744, 0x16fcb128, 0x796ed328, 0x5b4cd449,
+    0x5597e55c, 0x56a33e95, 0x2e938431, 0x8d719de8, 0x05fa186f, 0x90c6fa89, 0xa5433fe0, 0x8b8226c1,
+    0x5a2ce549, 0x21e3fb69, 0xd505ac10, 0xa7b616f0, 0x3c725166, 0xb0d25de4, 0xb54bdd59, 0x616e88d9,
+    0x78d70048, 0x302c22a4, 0xa10de047, 0x2bb694a3, 0xf4b0b157, 0x0a11d98b, 0x859bd3cd, 0xbf0ac17f,
+    0x4070dcd2, 0x9f61fa28, 0x0d565b1e, 0x2287cc48, 0xfde2354e, 0xf97b07d5, 0x9d42cbf8, 0xa4813a0e,
+    0x0e001cf9, 0x8dd90c73, 0xeff4f604, 0xa37f608d, 0xb4afc616, 0x4c6cdb22, 0x17b5d266, 0x1de47c26,
+    0x8c6a31ac, 0xff8b673f, 0x20850306, 0x13569190, 0x91936eba, 0x2b83d6a6, 0x7ef0e3ed, 0xe856836c,
+    0xa255b4f0, 0x78f0c32f, 0xa7b7b8bb, 0x7fee502b, 0x7eddb455, 0xaf66b4b1, 0x8f195b6a, 0xef954825,
+    0x00000000,
+    0xb6ac8081, 0xb3ad4e91, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000001725436586697640946858688965569256363112777243042596638790631055949824 */
+  { 0x00000000,
+    0x4979f1eb, 0x6f2ce48b, 0xe5ef5a28, 0x2c2da674, 0xb51e0491, 0x49425bed, 0x39a500a5, 0x3686e778,
+    0x6e51c2d3, 0xe353942b, 0xad111f7d, 0x184b9060, 0x86d42d20, 0x5cad37bd, 0x0a5fd13a, 0xec165e9f,
+    0x93adb07c, 0x632a8489, 0x44de01fb, 0x54e8eca3, 0xbaba433b, 0x7f772ae6, 0x53a58388, 0xcdbaa874,
+    0x0d449300, 0x4ea69e04, 0x319a4fab, 0x4a621c1b, 0xa38128b3, 0xba45ac65, 0xecf523c6, 0xe8c47e2e,
+    0x5e998c59, 0xe545d8ba, 0x5fce3cf6, 0x75be39a6, 0xab121cc7, 0xa5e2936a, 0x2a879372, 0xe58409e5,
+    0x8e528398, 0x90471198, 0x58bf1d5c, 0x052ef727, 0xf398b564, 0x22d1130d, 0x0ce7e747, 0xda3cd522,
+    0xb9d61f22, 0xc6ded2bb, 0xc928be9f, 0xb6150a73, 0xfcfd58b8, 0x1a3f2d8c, 0xf9f2c2e6, 0xd1522a90,
+    0xbb04db02, 0x3b8cf2b7, 0xe372b316, 0xf6cb6427, 0x547289f6, 0x13ae44e9, 0x9333328d, 0xe2440aac,
+    0x26b6397e, 0xaa47ad3b, 0xb7467f91, 0xd3fa4082, 0x46d61782, 0x4ef31753, 0x99a4efdb, 0x15a6a041,
+    0x58ea3f6a, 0x594177ff, 0x4f2ca88d, 0x4bb1f03b, 0xe4f60294, 0x9c166445, 0xf4a7f3c7, 0x522b4694,
+    0x5c9854aa, 0x8a4c1dd6, 0x09eaaff5, 0x9c9f3023, 0xf168220c, 0xb9ae720f, 0x217d2213, 0x8ccf9f61,
+    0x9d3d6531, 0xe44ed682, 0xeb7d136c, 0xf5625f2b, 0x0d6db215, 0x48554153, 0xd9ab0b8f, 0x6cc79970,
+    0xa79b1112, 0xea7961c8, 0x2178019e, 0x83c5df20, 0xe22acbf1, 0x0b5a33d3, 0xa1b20596, 0x37bf48ab,
+    0xa75cfe71, 0x75879648, 0x147b5fc5, 0x5d5f97fb, 0xdf9eaf9d, 0x581be809, 0x36a3754a, 0x8273ff50,
+    0x29cc6269, 0xb46a0eb8, 0xfd62b249, 0xe7725ee4, 0x1b3c6e48, 0xb737675d, 0x53fbc474, 0x9a012bd0,
+    0x4ea49c97, 0x97a380e8, 0xbea333f6, 0xb8700b08, 0x8ffddc77, 0xddc10301, 0x5e81292f, 0x7f0c29a2,
+    0xb8bcef97, 0x26c80334, 0x28281704, 0x09013464, 0xa07ac026, 0x19f776a3, 0x44c7edaf, 0x8f70b6a0,
+    0xb02a67ae, 0x5284ca74, 0x7a60a0a0, 0x834ff498, 0x4a4db55c, 0xf92bd06f, 0xb6c101bb, 0x3fa7a8c6,
+    0xa11b52a3, 0xab1bc5a8, 0xed1402af, 0x998b19fe, 0x2f0a9b52, 0x5d704872, 0xcbe6e46c, 0xafba8149,
+    0x2af9a1e9, 0x1e1de3dd, 0x102bbd9d, 0x6af50130, 0xd667b3ea, 0xc9c1a36c, 0x37ab02c5, 0x550fe3c9,
+    0xdae5af16, 0xec0500a0, 0x7a5db413, 0x0d78eda8, 0x877fc6a7, 0xf88adb3e, 0xa0560bf4, 0xea906309,
+    0x9c41edbe, 0xa198dbbf, 0x78b90708, 0xed53f6e7, 0x93f02e1e, 0x789783f0, 0x7a54d510, 0xd3084c7b,
+    0x994e34e4, 0xa29742f9, 0xbe11f998, 0xd173d47a, 0x3e97cbbd, 0x02c3ef44, 0xa484041c, 0x6ab481d1,
+    0xc08f5646, 0x5bdfe6d5, 0x36dd090b, 0x2a68efbf, 0x693fe068, 0x07fbb749, 0x14d32a69, 0x60b87f21,
+    0x870b686e, 0x0d7c1e02, 0x0127149b, 0x6305d90f, 0x8de84739, 0x24087ddf, 0x5b2c5a6c, 0x365b1151,
+    0x2c1d7031, 0x7affc54e, 0x99541e18, 0x923c81c0, 0x2d394bdd, 0x3937ad38, 0x472b9c14, 0x394ac7d2,
+    0x68cab137, 0x0a6dfc1d, 0x7eaaafdf, 0x259eb701, 0x344423f0, 0x83cd8e0b, 0x28741ecf, 0x0c45b036,
+    0x70d972bc, 0x717d2bf8, 0x62c9ee27, 0xf30f3e51, 0x929b0d7f, 0x029a3e60, 0x158cf5a5, 0x8cad82a4,
+    0xca5f13f6, 0x88cd8daa, 0x895c4e5b, 0x6c9e3e4b, 0x03c38818, 0x0bc35c67, 0x5968d353, 0xa8fed543,
+    0xb73c73d8, 0x276eb9e9, 0xb8ec51a1, 0x84395db7, 0x8857b42e, 0xa2e016f6, 0x454ffc6a, 0xf46af01d,
+    0x42c10826, 0x6051a00e, 0x39f4e500, 0xb38bce16, 0x56d0a869, 0xece50cde, 0xa785292f, 0x2a23b6dd,
+    0x0f5c5d10, 0x538d7db2, 0x20515393, 0x2fbdb2da, 0xa91304b2, 0x4c775f92, 0x6d68bb23, 0x49a7c64b,
+    0x210803ae, 0x6841c8f7, 0x0f4623cd, 0x6f5bf825, 0xfa959127, 0x0ebbac46, 0x75440585, 0x5cbd95cd,
+    0x483708a4, 0xbc8237f2, 0x19950dc4, 0xf49968df, 0xb8a19e6b, 0x5297ad7b, 0xe5fb6ee4, 0x9297888f,
+    0xb67d33df, 0x2dc4b1e0, 0x06465567, 0x33de6e31, 0x506c2066, 0xfbbad805, 0x7a17d61a, 0xdc2cd3e4,
+    0xab8f9267, 0x2176580b, 0x12dc491d, 0x66f90af9, 0xcfc068c0, 0xcee600fd, 0xf3fdb0d7, 0xc63ea0c8,
+    0xdeb95a5b, 0x34afd051, 0x17b05469, 0x32ad0294, 0x2f25de5e, 0x70e5741d, 0x05a0723f, 0x4a3a6c85,
+    0x06539fb2, 0xf1258690, 0xaaf5ae9d, 0x325d99ca, 0x955ed0b6, 0x58880a70, 0x137be22e, 0x153858f6,
+    0x6fd1b49c, 0xd295ff84, 0xf3114f66, 0xd1cec691, 0xccaf7c39, 0x9e21b55a, 0xcc867528, 0xe09ba00a,
+    0x480dce2a, 0x8476f5b8, 0xde60206e, 0xdeeb1f4d, 0x9a2b8ee1, 0x8c176218, 0x6dc8744f, 0x123990e3,
+    0x6a951f3c, 0x8fed9e75, 0x0e34052d, 0xd18f032b, 0x7d2e97ff, 0xa1aafb09, 0xa599a7b2, 0x37f88f11,
+    0xbf9dd057, 0x241b71dd, 0xb832cfb9, 0xdeae3a55, 0x1a08d7bb, 0x993bc191, 0x1d64a06d, 0x8b3e8a75,
+    0x66df348b, 0x3709ad2e, 0x49ae8842, 0x7c199a56, 0x0cf83f7f, 0xe37c9daf, 0x339c1788, 0xdbbdd5b3,
+    0x19e313e9, 0x4a630ba7, 0x9eefd7ee, 0x0795396d, 0x8fc9e434, 0x0703abe7, 0xf6fa0df4, 0x7a4b3c3a,
+    0xfa5ff117, 0xb9c41c7c, 0x50946526, 0xc510a33b, 0xffacb17c, 0x1d1791a8, 0xc0a784f3, 0xb1fcd161,
+    0x8d713647, 0xe45e112f, 0x5e246e99, 0x113eacaf, 0x2b63aac6, 0x2f5f9eda, 0xa4e1ae3a, 0xa7901800,
+    0x17a42e64, 0xf6fe1dc5, 0x6f5da8e9, 0xe8731281, 0x7e318ae3, 0xd21196a2, 0x6699a84c, 0x9913f1bc,
+    0x34dd0b10, 0x3a2a53cf, 0xb84cd60c, 0xd458196a, 0x080524a8, 0x07e6d091, 0x7d0f28cd, 0x4b06b86e,
+    0x9417639f, 0x490be51b, 0x2b042d9f, 0xe61ab100, 0x626a40cf, 0x03e4c8ca, 0x568a69c4, 0xa0eb0444,
+    0xe774d6f7, 0x8d4bb265, 0x62dbca35, 0xaed5b5c6, 0x60207da2, 0x5cdbeac0, 0x26f0ba76, 0xfa84cd72,
+    0x1fb7994b, 0x2af73d29, 0x7cb65126, 0xe570991c, 0x29a24156, 0x8b81c059, 0xda63a8e8, 0xa765d621,
+    0x5ad57374, 0x129bf487, 0x6fb691da, 0xeaaf4c98, 0x0f29fe0f, 0xd451fe94, 0x5a0b424a, 0x2bf81df7,
+    0xb19fac8d, 0x9b8af39c, 0xf2788396, 0x6484ae17, 0x5dc3182a, 0xc70af6a8, 0xd1112b68, 0xe5aa7532,
+    0x27a0d941, 0x62f8912a, 0xa4d4948e, 0x01893510, 0x41ac6dee, 0x6db84439, 0xf41a9ab8, 0xb08192a8,
+    0xc7d5334c, 0x0112a986, 0xcfaaed2f, 0xc7bcad28, 0x8225649b, 0x847e9498, 0xf893ce1a, 0x8ca2d8f0,
+    0x23516ac5, 0x8f46f281, 0xfab45185, 0x22fc7deb, 0x1097d9ca, 0x9f4b198b, 0x59049fc5, 0x96440dc6,
+    0x517cdfed, 0x98f234da, 0xbc86229e, 0xb1d1bd74, 0xc68a374a, 0x40c4dd0a, 0x92a52c4f, 0x38042bd7,
+    0x13fe4e06, 0x44bf8e2e, 0xa073869b, 0x5d91eab2, 0x4b307748, 0x542f8e96, 0x4ca7b094, 0x09694630,
+    0x4b570e59, 0xfdf76cfb, 0x8f7d5445, 0x0d97c5e2, 0xa782eacf, 0x7134b30b, 0x5d9ccbe7, 0x8d22e658,
+    0x2def62fd, 0x921b9df7, 0xe9274647, 0x4cc6ead5, 0xd9b1d242, 0xbb9cd1bf, 0x8f66a1a6, 0x08f4066f,
+    0x8829d998, 0x8eadca59, 0xfdc88c02, 0xe34189fb, 0x898254ce, 0xd8c2e046, 0xdbeeb191, 0x2aef94c5,
+    0x6d0a3c3e, 0xe26be119, 0x264474f3, 0xfc786981, 0xf454b70b, 0xc534b8d3, 0xd06785c3, 0xbd5ef444,
+    0x0e86aff8, 0x4fca0c01, 0x8d1ec87f, 0x54a2e197, 0xb7d3afee, 0xa979dbf3, 0xae10b148, 0xec8c71ff,
+    0x9edbf74f, 0xd21f799e, 0x1710cb75, 0x6b73086a, 0xd07f69e3, 0x0af6cf53, 0x1115b1a8, 0x615c6eb1,
+    0x4f552f96, 0xd890d451, 0x280373bd, 0x2fc6b9b6, 0x23a162b4, 0x835b9fb3, 0x2248d1ba, 0x8babba5b,
+    0x677cd183, 0x8c47e30f, 0x5801636b, 0xb7652d8a, 0x5cd04f2b, 0x9d84bdcb, 0x8adec36a, 0x6ca9be26,
+    0x3d74d67b, 0xfddd5e96, 0xd1a35aec, 0x92014c90, 0xa3539cd3, 0x3926b71f, 0xda4a6d5b, 0x31f70f84,
+    0x5a249e2a, 0xd1438850, 0x62aed519, 0xf3e0e548, 0xdba0279c, 0x297fc6d2, 0x3c66de08, 0x1885ad78,
+    0xdafdb1a3, 0xaecab007, 0x79b3eab1, 0xa8318c46, 0xa3e175e8, 0x057658a1, 0x6da8f2ea, 0x84a8f42d,
+    0x91bdf930, 0x12ec869d, 0x0494b578, 0x98898ff7, 0x094f4e95, 0x1a4495f3, 0x5ae57a82, 0x0655eaf9,
+    0x90e14eca, 0xaba977cc, 0xac8b8411, 0x5901b08c, 0xc1e4c1f1, 0x46e8f6ce, 0x61616b04, 0xbce85f65,
+    0xc1332bdc, 0xcce97300, 0x001f8d6d, 0x3ce3d047, 0xfa6c2cbf, 0x098f6913, 0x9ed2b09b, 0xd8c13022,
+    0x73da3940, 0xfcf7b899, 0xaa220cd3, 0x1a1e000a, 0x59e76b02, 0x341d51fb, 0x9469d9e6, 0xca6d14e0,
+    0x0b36b4bc, 0x4a9dc845, 0xce2ecdaf, 0xb1b8e011, 0x179546db, 0x0763388c, 0xb6dac676, 0xf2157461,
+    0xcfd96548, 0xde4c0a6c, 0xed6316b8, 0xfb10ab4f, 0x25232718, 0x9f6986b3, 0xa4abd24e, 0x7a3b5128,
+    0xf130b3a5, 0x185e7721, 0x11fe2b71, 0x9ed21403, 0x6bbcdb77, 0x022fb9b1, 0x2d2f2d6c, 0x6328fab8,
+    0x2f2bed43, 0x4ea24da7, 0x39474f42, 0x1f103513, 0x73e4e102, 0x14e57c6a, 0x1224d769, 0xc5596ba3,
+    0xedf74da0, 0xaa63daf0, 0x1cb0be8d, 0xe886579d, 0x7e393766, 0xc539105f, 0xf7fe8a25, 0x70dedce1,
+    0x517749f5, 0x852529cd, 0xb7ed5512, 0xf29865db, 0x2eff7132, 0x4f6f4cc1, 0x8c7b37ea, 0x692df006,
+    0xffe02e77, 0x176177ec, 0xc86bdaba, 0xa3563882, 0x84364660, 0xdd59436a, 0x1d3448da, 0xd4c70d72,
+    0x8c3ce06a, 0x87957dab, 0x2cc6172a, 0xfd859973, 0x7350fc98, 0x022992a1, 0xcb75b7f7, 0xda4409fe,
+    0x776908d9, 0x356860a8, 0xd05a099a, 0x55962e16, 0x48c72508, 0x6d9cc213, 0xc2b2460c, 0xc129081d,
+    0xd7ead842, 0xa8161eda, 0x5fb25b4a, 0x4a787114, 0x9a24786a, 0x2afaced9, 0x48649269, 0xd77b064e,
+    0x9cb09b02, 0x4dd09524, 0xf914ab27, 0x6d8074cc, 0x341677c9, 0x8240f31f, 0x97c5b162, 0x9cf7d1be,
+    0x42e37666, 0x558db5fa, 0x933b09e1, 0x434e18f2, 0x7ae8caf8, 0x5d6f8cfe, 0xffc89369, 0x982a8aab,
+    0xa885e940, 0x67b659d5, 0xcbaae159, 0x0ed8dbfb, 0xf2d679fb, 0x7053f54e, 0x5d0b0b6d, 0x1ac06fa8,
+    0x9c59b207, 0xc7cb03d9, 0x8fd26605, 0x0d68241e, 0x9495841d, 0x89de1f6d, 0x002306a6, 0xefdfec92,
+    0xea86d51e, 0x328bc386, 0x0ba44182, 0xae141dc3, 0xc4a74af5, 0x8d9cd573, 0xeac00092, 0x5ed39ae1,
+    0xd5a3a205, 0xa39365de, 0x218f8c8f, 0x0e8bcb97, 0xff9d7e14, 0xf48fe924, 0x1477b541, 0x1409ea00,
+    0xf0050a18, 0xa0b6f4ef, 0xf8586f5f, 0x7f1bf177, 0x859b03c2, 0x9e0c1f31, 0xe94264b3, 0x7f4bc711,
+    0x5d690fe6, 0x1d7e8af0, 0x80f4a7bc, 0x7220f9d1, 0xac3da65a, 0x43cdffe2, 0xf1731b7f, 0xf3839300,
+    0xe9be7acd, 0xadf4a6ae, 0xbbd012c4, 0x515e8ddb, 0x70fe0ccc, 0x28b2d0f7, 0x08092344, 0x99af1936,
+    0x91e6a782, 0x07e08ac1, 0x25b20c30, 0x5504b442, 0x5cc445f9, 0x5624e90f, 0x156683b6, 0xdfccef10,
+    0xfbc45651, 0x1c40ae48, 0x4b88a231, 0x799ab406, 0xae7fc8fa, 0x59f43abd, 0xb310def7, 0x84d866af,
+    0x924ff4f0, 0xad11edea, 0x20585c3b, 0xb52534b7, 0xf5695a91, 0x0f298aea, 0xa7096c1f, 0xe2c5fdb8,
+    0xe9f7ce40, 0xcfe806a2, 0x7c5e4f81, 0x7ff12ea3, 0xa1b4f847, 0x7a24bb1b, 0x30675c30, 0xc27edcbf,
+    0x9304fefd, 0x037d2543, 0x5bbda33b, 0x6d56f26f, 0x16902fe3, 0x631e1bf9, 0xc535b332, 0x8eaa8c3e,
+    0xa055b281, 0xb7563a04, 0xbed04155, 0xf1a9978c, 0x88c9c775, 0xb56e02b9, 0x65c53b02, 0x68fa4123,
+    0x93d4812e, 0xf4fa302f, 0x3edcc400, 0xbe5be710, 0xe3d1a0f7, 0xce530936, 0xefb7253b, 0x42c66c0c,
+    0x1e0cd211, 0xb18e26b9, 0x30f18e9f, 0x1d76b476, 0x2f41339d, 0x71dac702, 0x48bd4461, 0x9c8b31de,
+    0x2ebdb167, 0x89e08802, 0x5146996f, 0x667e6cbc, 0x8aaaa319, 0x0a5b6eeb, 0xfbbcc958, 0x5bb2523e,
+    0xd14c2965, 0xbddda872, 0x69e9d316, 0xd79ca555, 0xb1909994, 0x0a1ca7f6, 0xfd4d8862, 0x666574fe,
+    0x2c2d8502, 0x10c9ad0a, 0x224a8c78, 0x37cd65ca, 0x63402da8, 0xb89cdf10, 0x2b9aea7a, 0xfa1e6856,
+    0xc1ee3b8d, 0xf7bd63b3, 0x99563846, 0x7a9bb875, 0xc28b4116, 0x665fe658, 0x5abd9dba, 0x75823631,
+    0x5a1a2920, 0xe588f5f2, 0x9d908b48, 0x5bb04343, 0x62cad078, 0x12b131a5, 0x4270771d, 0x6a83b053,
+    0x8d49e2bf, 0xd8d8da6e, 0x28db45b7, 0x8e392233, 0x9f67cd3e, 0x233e0ffd, 0xb6a8058b, 0x832d33a2,
+    0xdff43353, 0x0c99d344, 0xa2ffaa0a, 0x45043a9c, 0x24e4c37a, 0xd884a964, 0x25ad61ee, 0x76110d8a,
+    0xe8a12c64, 0xd5427c92, 0x9ebc88f7, 0x48db6d6a, 0xf40d7ec3, 0x8a800ca6, 0x37b777e9, 0xfce4cbc0,
+    0x43f7de97, 0x7ee678a5, 0xac456c44, 0x0b439b40, 0xd27a704d, 0xbd6367ee, 0x1fd8bedd, 0x6aa9fa08,
+    0x6a095a94, 0x026ff957, 0x3ecbe562, 0xee63fc6e, 0x3d9d6aac, 0xe71abfc6, 0x35ca759a, 0x7bf73bee,
+    0x3495b18f, 0x822a9d87, 0xd43a3da9, 0xa865a748, 0x0c975301, 0x89b1e497, 0xe5378ae8, 0x9d7d5d0d,
+    0x715903c7, 0x06359811, 0x68605442, 0xb1accd60, 0x7bea83be, 0x7218824e, 0xe093ca47, 0x86f2a587,
+    0x88babbd2, 0x99d13422, 0x9369ed83, 0x936184b3, 0xf116fac2, 0xb247ada0, 0xd1a9cbc7, 0x8791ffc6,
+    0xb5a3be1d, 0xa6ab7b14, 0xfb7f8d12, 0xb041de85, 0x7f9cbde4, 0x54386fe7, 0x33c1eec8, 0x17b063ec,
+    0x9ff440a2, 0xb5a8cd92, 0xd848dfe9, 0xbc1847b0, 0x5308292e, 0x21d93b1b, 0xf22dacde, 0x4c4fb23f,
+    0x3d57974b, 0x9d232fb8, 0x0ff69987, 0xdbf6e9cf, 0x706b39b9, 0xe2f8d38a, 0xd325e745, 0xd0af742f,
+    0xa83cf357, 0x50623e23, 0x54cc2515, 0xda85ba7f, 0xee91f9e4, 0x7ec8bf3e, 0xa7ace1eb, 0xbd1be551,
+    0x7a8af689, 0xe827ca5f, 0x69d3bb49, 0xf9412838, 0x949d02fe, 0xe6709379, 0x1d620603, 0x248c28f9,
+    0x53a423f2, 0x32f0c10f, 0x4b995646, 0x82b8480c, 0x905310f6, 0xccea7fa6, 0x8facb36d, 0x8af546d1,
+    0x95c4f851, 0x2b63af2c, 0xb89769b9, 0xa826d605, 0x2eaff986, 0x4c80fc48, 0xb3f16368, 0xc84653d3,
+    0x973fcb95, 0x0d2accf5, 0x874dea14, 0xdb052fca, 0x353dceed, 0xfb704ac7, 0x079cc763, 0x74472c87,
+    0x89626601, 0xb8d0d8a8, 0x6e7d67bd, 0xb9e57ac8, 0xc4b8ee12, 0x42076053, 0x77d370fe, 0x775bfef5,
+    0x30b864f2, 0x8e369308, 0x47297b1c, 0x5e28d472, 0x2d66ec02, 0x5493c559, 0x49570a0a, 0xe3641393,
+    0x899fc459, 0x6d65da42, 0xf81369a4, 0x0a98eef9, 0xbf35f10d, 0xa025c2c0, 0xe78b9eb6, 0x9ec6df59,
+    0xc8ff38c2, 0x9a1bcf59, 0x44e40f12, 0x0c545fef, 0x78a12a84, 0x7004303d, 0x4c80cc6c, 0x9d8ed0d6,
+    0x6e2d79a2, 0x7b13c257, 0x89596143, 0xb596dba2, 0xfd565092, 0x37008938, 0x00475c9a, 0xaf1e726f,
+    0x00000000,
+    0xdb564040, 0xd9d6a748, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000862718293348820473429344482784628181556388621521298319395315527974912 */
+  { 0x00000000,
+    0xab2c4199, 0x2e3599b3, 0x231fd8d2, 0xa3220d13, 0x2535d8aa, 0x27957cf1, 0xebf7a9e8, 0x14ee6c4e,
+    0x68be2bd8, 0x5f5bc7f6, 0x2e566633, 0xd9112987, 0x3e2b78fe, 0x71a5611d, 0x51322796, 0xec516486,
+    0xbda06139, 0xc2c65884, 0xdb45e7ac, 0xdf0dfc18, 0x35889270, 0xd8f39199, 0xa77bcf7a, 0x3dd33f6e,
+    0x88ebf661, 0x22fd2d07, 0x54de2828, 0x975b54fb, 0xda661606, 0x2ee4f1f0, 0x8842fcbf, 0xee597aae,
+    0xb644d8d1, 0xc8239386, 0x1f14ca0c, 0xe520c47e, 0xf8d561cf, 0x56eda113, 0x7b9abc6a, 0xd34e7a61,
+    0x5b234387, 0xb2ec83be, 0x27ba24bc, 0x07262841, 0x63b8677d, 0xd5797802, 0xeae3a92b, 0xb555fb10,
+    0x6dd444db, 0xc0bf4e40, 0xedb0ee18, 0x11debdc1, 0x43914743, 0xf5d2ac72, 0x0ece7734, 0x60490eac,
+    0x6977cd65, 0x77579321, 0x9a5ea6ec, 0xdf3781bb, 0x8280423e, 0x1a20454e, 0x5b910b49, 0x74f142e4,
+    0x63170076, 0x8e3d2441, 0xb59e9de5, 0x087ac470, 0xde0abf26, 0x5d54e16d, 0x177344ce, 0x0d2bb91c,
+    0xbadc7a7f, 0x46532862, 0x6c33b0ce, 0x2287412d, 0xc8e31847, 0xa6c4fcba, 0xb152691b, 0x557fc46c,
+    0xea38d5a7, 0xc21c4bff, 0x8454e9b0, 0x6f8298b4, 0xaf7a995e, 0xb12912ed, 0xbea938b5, 0xe7d266d8,
+    0xbbadb84c, 0x451bc67f, 0xfc1722d2, 0x66b197e1, 0x472280bb, 0xbca7c4d5, 0xba9d2326, 0xc908cf31,
+    0x96cad486, 0x864eb9ab, 0x0b19d79d, 0x73b0ffaa, 0x39bd5ad4, 0x6d8c3aab, 0xfd315ce5, 0x7741478a,
+    0x06a531ed, 0x3b46ec50, 0x0519b18e, 0x62deec31, 0x8f81e5a8, 0x294b9db3, 0xc0325ff1, 0xda7d9756,
+    0x9fad282a, 0x3689d258, 0xc67f02c7, 0xff22753e, 0x92865090, 0x838c0f87, 0xc5f25546, 0xe7d0e1f7,
+    0x7f629d8a, 0xe2122611, 0xc3e31179, 0xf595935b, 0x3c9a0c9d, 0x29e4f2d8, 0xb39a50ab, 0x3394a7b2,
+    0x0c422536, 0xad8be792, 0x2efca8be, 0x58d3aaef, 0x900b51ad, 0x1d2507de, 0x846e39d5, 0xc00d637f,
+    0x1ff69312, 0x73c54eed, 0x0cc8f9cc, 0x620543d3, 0xc5407066, 0xa6e63344, 0x73744684, 0x4544a37e,
+    0x88452423, 0xea6d3080, 0x5155daad, 0x863b9878, 0x176b101d, 0x72b04ec9, 0x189e0c87, 0xefacb322,
+    0x2ec8bd37, 0x4f23e3a6, 0x53799ee1, 0x9a88e80e, 0x315008ef, 0x499fd7c9, 0x59bb69fb, 0x95a36d56,
+    0x6df35d6a, 0x20efa27e, 0x5ffb851c, 0x8358c091, 0x993ad710, 0x4883d9bf, 0x9b220394, 0xc4cf99bc,
+    0x8c3e3d33, 0x90c6b2a3, 0x475ff4e3, 0xa56eb344, 0x9b4d83a8, 0xfd2f75aa, 0xba7e9b8d, 0x564ce231,
+    0xa992bbd6, 0xf8df5ac5, 0xb22d81f4, 0x87d4d69a, 0x26625dd8, 0x99126579, 0x1c25df6f, 0xbe6bbf7a,
+    0x80032432, 0xea72bac6, 0xc7f3e99c, 0x09e3c572, 0x404574f4, 0xf124d100, 0x5a43f384, 0xd4ad99bd,
+    0x24aaec13, 0x2ac09477, 0xfbe29350, 0xa73895a1, 0x0762caf5, 0xf50f181e, 0x5bbb727c, 0x3408bd93,
+    0xcef3d1a2, 0x92e284d9, 0xb987c173, 0x4365a6c7, 0x9cd9159b, 0x585efdda, 0xbe98287d, 0x7e9bddaf,
+    0x899e92d3, 0x09e411b1, 0xe221ca47, 0x75a93ce8, 0x78c7dbc2, 0x32138a6d, 0xe395fbf3, 0x349f29ec,
+    0x37239a4b, 0xb1027fef, 0x84c9d39e, 0x49a49190, 0xdb8352cf, 0x299a09da, 0x620c3d04, 0xc8639afc,
+    0x700b984c, 0xda8e01cc, 0x681b9b59, 0x9676737d, 0xd8f5a218, 0x2c3f71e1, 0x4544c5d7, 0x6d92624e,
+    0xf175bec5, 0x8d672e4c, 0xda668569, 0x3a1a1c8c, 0x2d811cee, 0xca0da0af, 0x1d314198, 0xdc65383f,
+    0x45f53f93, 0x0bb2256c, 0x752e6ce7, 0x9ec694ee, 0x2bc26438, 0xe06712d0, 0x9189d869, 0xc4b79175,
+    0xeeb74708, 0xcf3a363d, 0xd943c749, 0xc04d687f, 0x2f90a53a, 0x765a66af, 0x5629c104, 0x4b8970fe,
+    0xdd1d3ffc, 0x906721ee, 0xe2a49e70, 0x4ad9326a, 0x94141d38, 0x5d98435a, 0x2d32f5ee, 0x4fb5f75a,
+    0x408d11ba, 0x656938fd, 0x9f58bb32, 0x5ced13f8, 0xc6e641ad, 0x116cd922, 0x3b897977, 0x3bf06e89,
+    0xe52ac599, 0x5a4e8dfb, 0x8ebee411, 0x5d44f8a1, 0xca78d883, 0x485197a6, 0x0f707c43, 0x49074a1a,
+    0xd4be985a, 0x054b1620, 0x8b47b81c, 0x430ba057, 0x8ab8caa8, 0xdb846f18, 0x176cf8ad, 0xba43f555,
+    0x3e6a3994, 0x868b1cf6, 0x38d5d2e1, 0x11ac1d4c, 0x1695333b, 0x3f42d3ff, 0xb81cf5d2, 0x6fcfa046,
+    0x4b5bcbfb, 0x04242bd4, 0xdc6f626a, 0xb7a45459, 0xc87f745e, 0x9c804bed, 0xff0a4fb8, 0x29d76124,
+    0x1de18fe1, 0xd0b525b4, 0x4b6d5583, 0x03138235, 0x90aff046, 0x7a499ce8, 0x9dcc235d, 0xa84e06ae,
+    0xcb9ebcf2, 0x37037aec, 0x272495ab, 0xcd0eeb23, 0x5b859c1e, 0xd41952a5, 0x55faca9d, 0xa05221af,
+    0x9ce04551, 0xbee5bfc4, 0xe159a67d, 0x45b71560, 0xed9fa95d, 0xed4d739a, 0x1018e60c, 0xb5055d5b,
+    0xa0ac4867, 0x164a887f, 0x3028c591, 0x70c08cc3, 0x4858d374, 0xd2424068, 0x388ea585, 0x26575a89,
+    0xec00680b, 0xc15bef0e, 0x1868e02f, 0x1e90449f, 0xa3d7514b, 0x4a961fa8, 0x3a8254d8, 0x95ff4aa5,
+    0x4bfbe812, 0xd010dd44, 0xad2de23a, 0xe31bbbf6, 0xda3b5b22, 0x2c08c1ea, 0xd2d53d1d, 0x810694b7,
+    0xa4df169e, 0x05849ffb, 0x0d7bed4e, 0x230b5a00, 0xf4b5724f, 0xe73a02e7, 0x5c0511d1, 0x09e2e747,
+    0x9a31cba3, 0x799fd508, 0x1eea5672, 0xd56e5bba, 0xc0648d93, 0x415ec256, 0x551dd774, 0x49ca1a63,
+    0x9e5b0e9d, 0xe1307cb6, 0xe841a58a, 0x0465ed2b, 0x759b3485, 0x1261c930, 0x13c5284e, 0x2d6803c0,
+    0x3a4d7148, 0xc367667a, 0xc32e6bb0, 0x6f3d849c, 0x1860dcf7, 0x85fe4a0b, 0x2d1961bf, 0x8d83a7f3,
+    0x422067d6, 0xd04d0d7d, 0xbdb203e0, 0x3ccaa6ab, 0x63673abb, 0x60f36483, 0x88ab494e, 0x5fb9bd2b,
+    0x82c81356, 0x55eef56c, 0xe87a4ce1, 0xe8b0ec31, 0xbfb81fce, 0x45073fe8, 0x48e7f3e5, 0x980f5f6b,
+    0x24bcb236, 0x8f26870d, 0x265a5b00, 0xff6c8f83, 0xe3c28454, 0x82df758f, 0x39443be8, 0x16f08546,
+    0x1692c9aa, 0x9fa8202e, 0xfbd415f4, 0xd7f22b10, 0xca74ede2, 0x9c2d88ae, 0xa6eaed42, 0x7ea66b3c,
+    0x7c559348, 0xd0eb7675, 0x04d72894, 0x0dd2e492, 0x5c4df3f0, 0xfdb54f53, 0x5c39718b, 0xa96d0d4c,
+    0x3b282397, 0x56e83025, 0x5058e77f, 0x34d6ba6f, 0x57324d34, 0x078637f8, 0x8096ea7a, 0xa82debd5,
+    0x226ed705, 0xa1fac01a, 0x9891a203, 0x0a957b0c, 0x3555135d, 0x0db60807, 0xa6b5ea96, 0x4354bf17,
+    0xad1a274f, 0x8abd2dc3, 0xfa01e6de, 0xe3878f40, 0xd9a2b2d7, 0x5fc9960f, 0x225d7e8a, 0x3a7118da,
+    0x7f43e6df, 0x83666f15, 0xa30e4a4b, 0x833f8c86, 0x296249a7, 0x6c729d0b, 0xcc7b6b65, 0x5ba6617d,
+    0xb9cf78ab, 0xa35243c6, 0x54006990, 0x82adec44, 0xb3096f14, 0x132bb1d2, 0x8236795e, 0xe2b0f114,
+    0xd36fce30, 0x33eeefec, 0xcab9a5f0, 0x3bc3c997, 0x0423990a, 0x72c7b05c, 0x72699dc1, 0xb56cde1f,
+    0xa845bfc6, 0x94d969b9, 0x8e32995c, 0x2f92a5dc, 0x51e35152, 0x48cbd047, 0x54a45ba7, 0x1a891385,
+    0x92109613, 0xa2194e00, 0x62784448, 0xd539bc35, 0x0ccb3e2c, 0x806daba2, 0xad2cf7bf, 0xc7923938,
+    0x8786d6b6, 0x13cc1b2d, 0xec807a52, 0xc011f7b7, 0x020c173e, 0x506b423e, 0xe37e4315, 0x5ac421e0,
+    0x341e978e, 0x649a7d9e, 0x640b2872, 0xfdba118e, 0xa5040e09, 0x6792fb40, 0x616c2461, 0x7730c117,
+    0xca3e4fec, 0x5e19d844, 0x4a684e55, 0x1d799463, 0x93720dfe, 0x2ff88745, 0x09a493e2, 0xa48b133c,
+    0xa4e1b639, 0x09c50d7e, 0x5a1e33cc, 0x5bff15bd, 0x58fb997c, 0x1f0bde26, 0xfe599930, 0x86962933,
+    0xb77d7ab4, 0x857bc24b, 0x2affe5ef, 0xe3dab23f, 0x4a72c4b7, 0x3bdfe777, 0xa4bf220f, 0xe09c0e8d,
+    0x2048f1c4, 0x1cc3dd39, 0xf3b3044e, 0x1fd6f30d, 0xa067af78, 0xb473110f, 0x396140bb, 0xad856fed,
+    0xcce6e3ef, 0xe34a32cb, 0x87922aa3, 0xaa23d125, 0x1fb226db, 0x056eadeb, 0x82d1947b, 0x78b9d3a8,
+    0xface756b, 0xd8b569f6, 0x05b8298c, 0xdec304c6, 0xc7f45fc2, 0xc2e9e125, 0xc46cd9dd, 0xe44aced9,
+    0xf1dac412, 0x8340070e, 0x5dd385ad, 0xce3affb9, 0xc6464cff, 0x8c0e9ffc, 0x661155bb, 0x8723232c,
+    0x6ebf3326, 0x18cca0a8, 0xd55eea3b, 0x43828367, 0x42266998, 0xacb49d2a, 0x03636699, 0xde29697c,
+    0xcb968283, 0xa5aedd97, 0x78891856, 0x0a119da3, 0x2ac83ac6, 0xde12c2be, 0xf5ec8e7f, 0x7bc9aab2,
+    0xfc12c0da, 0xb24b1b7a, 0xe3ee2b96, 0xd3ed25f6, 0x2a56fd2d, 0x96e27d0f, 0x3e0d02d9, 0x19d22a17,
+    0x970fcbda, 0xc2a0298f, 0x41c0222f, 0x8453f622, 0x85186637, 0x5c90fde2, 0xc16131d7, 0x48e53eb2,
+    0xc71c3018, 0x647ed1da, 0x5a69abe0, 0x917690f1, 0x61fe9dc3, 0x94ccd137, 0x86e20ae8, 0xc8bc334a,
+    0x170aed3c, 0xe7e95d97, 0xbcc167dd, 0xf8283b87, 0xd4416984, 0x0aa6b601, 0x56d98cb7, 0x211e3d95,
+    0xdaba2d45, 0xe88f2fe5, 0xbfd16009, 0xfa1d5d9e, 0x43e4c4bb, 0xf598f3e5, 0xc2abcd6f, 0xd68ef8b5,
+    0x8a90ed2d, 0xb9ae6c56, 0xb1003443, 0x1ce48593, 0xfe72b5be, 0x853d8ed4, 0xc128bddb, 0x388904cc,
+    0xa2f7eafc, 0xd3e60514, 0x3df09989, 0x531ab42c, 0x683ff815, 0x08c9239a, 0xebbaf704, 0x1b597a88,
+    0x556ef0a9, 0x718774b0, 0x15730ecc, 0x41ed4d62, 0x8f18a11a, 0x57b318b4, 0xcebae4cd, 0x6c6098ae,
+    0xbf2a7078, 0xc91aee65, 0xc8f346ce, 0xe1645fb2, 0x840d091c, 0xf1e0c844, 0x06e693d4, 0x76e5eb02,
+    0xa93c24f7, 0x33e3ff3a, 0xd46a0f24, 0x1ad6eff4, 0x5147792e, 0x8968b232, 0x8086342e, 0xd4473f2b,
+    0xf7e6bda1, 0xe5319193, 0x88425ac2, 0x946d054c, 0xaeee37e1, 0xa8c7fc78, 0x4fe24c13, 0xc9d88c74,
+    0xd014456d, 0xe68b1a50, 0x971ff3a2, 0x91c13e29, 0x361caf1e, 0xd87abe87, 0x64e3fa0b, 0x854b792f,
+    0xd9163dc1, 0xea797a2a, 0x11140553, 0x49ce0cbe, 0xbf9c551a, 0x413a1b29, 0x6b6c5368, 0x4ca3d584,
+    0x9d5a8ca0, 0x8eeeab06, 0x1c50049b, 0x87d269a2, 0x067ab134, 0xf31d4811, 0x3057a629, 0xc4b79b73,
+    0x05a6551f, 0xcec9085a, 0xd353c751, 0x2cae23c0, 0x9a1b7f9c, 0xb6c7953a, 0x9f928e58, 0x3cced859,
+    0xd03f6c51, 0x41310ea7, 0x1620b9d2, 0xb010c7bf, 0x4750f399, 0x99ff9669, 0xfd600771, 0xc6b5036d,
+    0x81a551ad, 0x48392678, 0xebb95d00, 0xc83ea76c, 0xed02dbe3, 0x7f6d67cb, 0x79ce9806, 0xaf5b3913,
+    0x61712d0b, 0xa49d2b06, 0xd7b55cb6, 0x08d92434, 0x26dbd301, 0x7ebafe3d, 0x0277ceec, 0x4edf5a6f,
+    0xce1d00b6, 0x3bcb5500, 0xc4f8785a, 0xaf360be8, 0x3201d5ea, 0xb0f35780, 0xac5f17de, 0x2554220a,
+    0x6c001f54, 0x2bb727b9, 0xd4031cde, 0x4083e3a3, 0x8559aafa, 0x92c166f8, 0x05442436, 0x98ae8871,
+    0xb7db6c3e, 0x371ba3d7, 0xd8837d8a, 0x6440b3e0, 0xd7db8c03, 0xa0d01a15, 0x94601a5b, 0x3d9ef29a,
+    0x1856f170, 0x6fe5304d, 0x9549c53b, 0x843bd26a, 0x06cad174, 0xafc4c6cd, 0x649abab2, 0xa3aae3df,
+    0x2fdafce1, 0xef8a8a94, 0xe79c9c7c, 0xb79699c8, 0x72c5de3e, 0x8748ad2a, 0xc3fb6b2f, 0x8f655515,
+    0x0bd80a7f, 0xcca74785, 0x3e4a3b5f, 0x1012fe50, 0x19b71974, 0xcd280669, 0x0e7ba43a, 0xee2f2dbd,
+    0x67ceb971, 0x8d18bc5d, 0xd0d79591, 0xde96625b, 0xa5faf424, 0x68d6a510, 0x4f7d04e2, 0xf30a144a,
+    0x88dfb257, 0xc3684523, 0x15fcb292, 0xdc43a7d1, 0x435307d7, 0x58c79e44, 0x8560f0ea, 0xf8537a74,
+    0x65473b3e, 0xb6af8413, 0x6f976e52, 0x23c24ab4, 0x3fdccfb6, 0x1e63afb0, 0x4f13a0af, 0x50f87a77,
+    0xe5ad014d, 0x2beee3ad, 0x1ed04120, 0x8136fad9, 0x0bbd728d, 0x20c319f4, 0x3e2c9020, 0x0e58aff2,
+    0x8fc5332c, 0x4fe006d9, 0xbc51bcff, 0x5475f395, 0x73fe66f4, 0x6b34cb31, 0x94a33dee, 0x6222c9e7,
+    0xf7ee1178, 0x681a71d4, 0x6a1a55a2, 0x79e07481, 0xa3d66682, 0x805f1a25, 0xedb0eccc, 0x97f6804f,
+    0x323ebf52, 0x4490cae3, 0xf62b8a4f, 0xc67bc2cd, 0x8c39f0bf, 0xd24f3360, 0x0944adae, 0xcd90e8a5,
+    0xa67d59a3, 0x2407d184, 0xe59f4a46, 0xa0f5215e, 0xd69e26c1, 0x3c997062, 0xc8159ab4, 0xeb592115,
+    0xcbaa2eae, 0xc9383408, 0x652330c7, 0x08d3dd5a, 0x94c265a0, 0xe2d55972, 0x8fb76ee9, 0x91dd77f2,
+    0xd42cc6ee, 0x1251a847, 0xdbf3aac8, 0xfe9d7cd6, 0xf25f6d6d, 0x44cb53d0, 0xabfc03c0, 0x8eb20fed,
+    0x116bd9f1, 0x463d0886, 0xfa43f57e, 0x0c48fcc6, 0x124763f7, 0x00e1ea43, 0xab466494, 0x173ecd4f,
+    0x87cb7acd, 0xcd42f474, 0xfd272aa9, 0xd95c7550, 0x7fdb5d69, 0x58ad2041, 0xcaefe22a, 0xb963fa4c,
+    0x2d1bf99b, 0x9d3b3593, 0xc6701e6b, 0x25720d6f, 0xacbfbb56, 0x0d63358c, 0x8a010049, 0x78599f1a,
+    0xf1afd96b, 0xef1cd409, 0x58485589, 0x1fe62fe7, 0xeddf4119, 0x6f5c685b, 0x2bce2644, 0x04b8f282,
+    0x26ed5a92, 0xf0d5e2af, 0x05e3c485, 0x28e6149f, 0x2d9f96c5, 0x678b5e80, 0x587e7eb7, 0xece74e51,
+    0x632e53f2, 0x26fe63d8, 0x771cd4f1, 0xfe6d021e, 0xab67a65c, 0x1c87083b, 0xfa6ba189, 0x30567742,
+    0x38431fc7, 0x9bcb9775, 0x1a12c897, 0x94e6adf8, 0x1dbc950d, 0xc7e8c394, 0x9a10b82f, 0xedb89fb4,
+    0xf908ae17, 0x218a2027, 0x2ba7657d, 0xa56db4c8, 0x17ddbb0a, 0x48018ef8, 0xc7a4fa02, 0xfde2bf06,
+    0xb7204f1e, 0xf87b4425, 0x11f6f2c4, 0x36f760f3, 0x15eb215d, 0x9d36f271, 0x2574909d, 0xcf0b4c2c,
+    0x5ad1c5ef, 0x45b6c7a5, 0x2f86a08f, 0xc2baedb5, 0x2ef32870, 0x51548425, 0x88a75d5f, 0x6017a016,
+    0x9b84dac7, 0xc9d896a4, 0xb146a446, 0x7d7e8287, 0x795dc98f, 0x84255a6b, 0xa5266e3a, 0x7de8cbf6,
+    0xbf53a912, 0x2c424125, 0x5437e845, 0xbbb40140, 0x04bb229c, 0xf238df71, 0x188185a8, 0x95c28785,
+    0x37e5e464, 0x135de070, 0x6e82ec8e, 0xe47af33e, 0xe71f92f6, 0xf3b86f3e, 0x153392ef, 0xbe497a33,
+    0x517c85cc, 0x2ef0fd76, 0x8a12c314, 0xa071820c, 0x9303f77e, 0xb7afed00, 0x2f611c24, 0xffe8d462,
+    0x13c86b33, 0x1f061111, 0x94f3d087, 0xe95bd77d, 0x3807a2ef, 0x2043a602, 0x2fe24463, 0xd5ed04b3,
+    0x3b9ba7e3, 0xd52d82f5, 0x69472ad5, 0x0f786bc9, 0xc14f7a36, 0x8285e3e7, 0x74d74c70, 0xef06fc13,
+    0x2939d7ad, 0xe608780e, 0xfd722fa2, 0x4d20520f, 0xccf29ab1, 0x995551e2, 0x1933b1a2, 0x5d6026d6,
+    0x201e6ca2, 0xa0e7bad0, 0x92796aed, 0xdf73b336, 0xaa4490e0, 0x94ef7bf8, 0xc4a4603d, 0xe03fbe29,
+    0x38ade12f, 0x1c5aeb51, 0x8a363a0b, 0x18a6baef, 0xe7f2267a, 0x3977a801, 0xb1671fd4, 0xb2b9628b,
+    0x7486d15d, 0xb0df4381, 0xcef8bcb2, 0xc5e33573, 0x10c080af, 0xe4caa237, 0xaa48a340, 0xd3bb6576,
+    0x00000000,
+    0x6dab201f, 0xeceb53a4, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000431359146674410236714672241392314090778194310760649159697657763987456 */
+  { 0x00000000,
+    0xdf60f089, 0x4cfbd5c4, 0x5483cb6a, 0xcd8a19c4, 0x174d3edb, 0x01fdfcfa, 0x1c9d0ea4, 0x30083ee2,
+    0xe9663bfe, 0x6d0296ee, 0x31d66d91, 0x480eaf57, 0x6ee4a7ee, 0xea41f29a, 0x16e2c0a3, 0xbdba0c29,
+    0x4a0a2035, 0x0fc46836, 0xe71191d8, 0x1b190c25, 0x5b7bad46, 0x6fb5d311, 0x89369f4d, 0x0f203fd1,
+    0x97f5e26d, 0x9cb0c4da, 0xb0a12a9b, 0xf10ea31a, 0x5ab497aa, 0x26dd77b5, 0xc766f08a, 0x686316d3,
+    0xfe5faef2, 0x789fb0d5, 0x46434272, 0xc280d1f9, 0xe37a94dd, 0x08376302, 0x63284829, 0x3f99b14c,
+    0x151191bf, 0xb5ff68c5, 0x43645e88, 0x23783baa, 0x0af38e54, 0x9560bd8d, 0x3f270860, 0x02c04fee,
+    0xd0a81da5, 0x41688f59, 0x78e83f53, 0xdd2cb54f, 0x757c5873, 0xc85baa28, 0x2d9ef42b, 0xf646d174,
+    0x4a239b40, 0x1add3acb, 0x44b75b08, 0xe5fc7e9f, 0x24b66624, 0x814bd541, 0xbc22052e, 0x33680305,
+    0xa22c6a01, 0x554c1335, 0xa27c2eed, 0x40eac0ff, 0xb5bccfa5, 0x376eb56f, 0xdb5142e5, 0x9b55f659,
+    0x2b40d7a6, 0x7f840860, 0x262a56c8, 0x3c40a4b9, 0xb0b17967, 0x987ee63d, 0x93825924, 0x7a3afeec,
+    0x71a11d68, 0x425b5d96, 0xe03f46f6, 0xd418e97d, 0xd56383a0, 0xa5ba94cf, 0x5491a884, 0xc42300dd,
+    0x4f7a4edc, 0x42f902ac, 0x98099403, 0x68237fa6, 0xf0a832e3, 0x66d263c3, 0xf5a4bae4, 0xdd423e47,
+    0x49788cfc, 0xf27c1a36, 0x66a4ad67, 0xc1a0ea30, 0x61bb8c11, 0xc2fa4e19, 0x86f3dee3, 0xfe0d007f,
+    0xf3d24d99, 0x53f403d1, 0x7eb24b3d, 0x9197655c, 0xd5a86584, 0x55dd3b09, 0xc2658115, 0x97a7a3ce,
+    0x9fdb6d40, 0x2c64e6e8, 0xd4fe1142, 0x179b77b0, 0xcf1f96fb, 0x4a6891b2, 0x5b1732d9, 0x32bf40fd,
+    0x6158a3ef, 0xe633ab7c, 0xf60c3faf, 0xbadbd144, 0xdfb62812, 0xe4b6e912, 0xd780c102, 0x2b5cbcda,
+    0x9c4b8c3c, 0x877cebc8, 0xe64cdda5, 0xe783c865, 0x15a80319, 0x39ea04fa, 0x05cf4396, 0x76830786,
+    0x68f32f4f, 0xada32c3c, 0xabc5e7d9, 0x05dbe4c7, 0xcb4ff121, 0x0986bd96, 0x400a049d, 0xeed29f9b,
+    0x3977a5f7, 0xd4b926a0, 0x8ac169b5, 0xd00669ad, 0xf225101a, 0x18bab935, 0x50fa0bdf, 0xe3869d68,
+    0x6576f8b5, 0xfd566981, 0xf0438b4f, 0x32b1c2ee, 0xdf91d49e, 0x21249fed, 0x626b6270, 0xe56e55a2,
+    0x8e5a6682, 0x8c5502c7, 0x46341b6c, 0x9e91fbc7, 0xfd883a95, 0x09c0ebd4, 0x96d5d0d6, 0xfe90baed,
+    0x8ec6ef6a, 0x4324fd2a, 0x8509c4c4, 0xa8ecc8ff, 0x3759c4f2, 0x659c9894, 0xcf3d1bfc, 0x9caee253,
+    0x91a83682, 0x71d32ad3, 0x1459ee71, 0xd649f0f3, 0x180720ec, 0xbe617d28, 0xadba9a2f, 0xc2d7f976,
+    0x599659c0, 0x7caeac43, 0x85a99a0b, 0x0f988ea0, 0x08984f51, 0xc45d4fa2, 0x8c3b3b75, 0x112811df,
+    0xec9c3a27, 0x2b091abc, 0x4b5b343a, 0xe7abcbff, 0xb3ae5572, 0xe96e9feb, 0x381815a9, 0xb702b0ef,
+    0x3b220d5f, 0xeb49c351, 0x852a16af, 0xf3030ae1, 0xc2ca8889, 0x5b0b9cc0, 0x84a803c2, 0x03c3fe34,
+    0x20018b94, 0xcfadde68, 0x436ca302, 0xafd7b11b, 0xa1a2d316, 0x66953d2d, 0x1b32e794, 0xd2841512,
+    0x4154749c, 0x2f7a5745, 0xb3ad8010, 0x3bd48ca5, 0x4f5f18d7, 0x20fd0727, 0x7798e3eb, 0xb9b974cf,
+    0xa2b45c24, 0x6dc8a7ed, 0x82fb8943, 0x7bb05da4, 0x5c5a52a3, 0x79be2769, 0x0c3f9703, 0x1a05cb2d,
+    0x872dd024, 0x37d0a4f1, 0x9d9df9d8, 0x5d985a22, 0xf5308730, 0x2948aa39, 0x48358984, 0x885db29f,
+    0x3732b08b, 0x80aabb50, 0x2f89c474, 0x4ead1037, 0x9cc36432, 0xf1488d66, 0x0cc1bdf3, 0x9deac6a2,
+    0x643964c6, 0xf928c9a1, 0x521f5c56, 0x23a5ddc9, 0xec6dae37, 0x3a3de3f3, 0x8cf36a2c, 0xf6ca9966,
+    0x27457112, 0x7f2f71e8, 0x5ddda63c, 0x2b9e6644, 0xbb4f0c9b, 0x63732662, 0x4b1d0dd1, 0x44da6c81,
+    0x297b6b41, 0xe84900ce, 0xc73c0e77, 0x9542fc11, 0xd8707435, 0x7175cf56, 0x8a9fa76b, 0xe7221a66,
+    0x0847fbc9, 0x899b9d89, 0x63bcf3cd, 0x79e43f2c, 0x4c2b16fd, 0x3123646e, 0x9fb2c0f7, 0xac1d8196,
+    0x972e306c, 0xeeda655c, 0xb545f244, 0xce179b7e, 0x1d2c1727, 0x1e2caca0, 0xa46f3542, 0x782fc70e,
+    0xbd67e918, 0xbc4fdc0c, 0xf22b150d, 0x66b8d21e, 0x034ee511, 0x8e3873d4, 0x016214d7, 0xb1114b1b,
+    0x1a09def9, 0x3638a800, 0x542b3aa9, 0x3ad6cf44, 0x8ef86ee8, 0xc4692e3a, 0x321a4719, 0x85b505da,
+    0x7cdd3b16, 0x90c1b86f, 0xfc22c843, 0x939aee1f, 0x70f77dad, 0x4b8f84a9, 0x7cfafbd1, 0xfdac7ba4,
+    0x0c348cde, 0x229ad357, 0x43f757f3, 0x03da3de5, 0x7bad4b81, 0xf3e7762c, 0xa634fa32, 0x07b58a70,
+    0xf7318dcf, 0x788f2b7c, 0x7b258605, 0x9299d41c, 0x6456e3bf, 0xd066c572, 0x4a45e2a9, 0x06be7ae1,
+    0xc9d80fbf, 0x1cbee75b, 0xc0f8c395, 0x3b2cc554, 0x4f49b866, 0x45007819, 0x375500d6, 0x23e623b6,
+    0x82e9ed39, 0xf5f77000, 0xff4f6fb6, 0xf39f2561, 0x09a4ced0, 0x08ad939b, 0xd07c580a, 0x2d727094,
+    0x8c0afc7d, 0x99eaf09b, 0x0a74e1d5, 0x77c97931, 0x73d28193, 0x70e32c7f, 0x1816fbff, 0xdd41c015,
+    0x9151e061, 0xe79b03a0, 0xb41d67b6, 0x5f9b6ca3, 0xe6084a5b, 0x6ce75a34, 0xf7dfaef9, 0xbc525ce4,
+    0xfe0f018e, 0x8550a195, 0x4c07943a, 0xc6194bbc, 0x838593ec, 0x2bf25326, 0xb3d8feec, 0x567425b8,
+    0xcc0a4ed3, 0x666a647a, 0x5312fb14, 0xc22c2627, 0x7cb1d10b, 0x071bf700, 0x3e7493d5, 0x3dfc349d,
+    0xeb8ed39b, 0x73ec0813, 0x22ff2a90, 0x9ebb0c51, 0x1197cf75, 0x1ef7620e, 0x0f4c521c, 0x2bba858d,
+    0xc9a45d25, 0x241df19a, 0xbab05e65, 0xe6f6492a, 0xb32979d8, 0xd606a725, 0x3dcc7257, 0x63a789f6,
+    0xed301f1d, 0xa113d32f, 0x2af32a72, 0x33273017, 0x99949629, 0x0d1a82ba, 0x370ff3a4, 0x762413e1,
+    0x13e086da, 0x25b3c077, 0xf29290c5, 0x4970f3ad, 0xcac9eea6, 0xf4c8e2c4, 0x4c00326a, 0xa21f69ae,
+    0x86b79f08, 0x3182ff73, 0x7f593641, 0xb148c89b, 0xbf028fe6, 0x69b4e653, 0xb64cd9d2, 0x5399d025,
+    0xe552f17b, 0xe3065ff0, 0x1d837c6d, 0xf0190f74, 0x9a942d4c, 0x483a0469, 0xdebc2035, 0x46b32ac5,
+    0xa2e20d92, 0x78429b61, 0x93d1e1b3, 0x9d99ba88, 0xb5957bc5, 0x48b5067e, 0x0404a1b5, 0x6774d5e9,
+    0x1517ccef, 0x2d2d51fb, 0x33819218, 0x19846520, 0xcf23dd18, 0x0a1ff8b8, 0xc5e8309f, 0x97dcaeb3,
+    0x80854b97, 0x18cfe951, 0x3f1faeba, 0x612026fd, 0x4107654a, 0x1203430c, 0x789bc9ca, 0x78d37d29,
+    0x59037da8, 0x546a85e7, 0x059a2884, 0x9d311df7, 0xe1219f27, 0x622323be, 0xb52f6368, 0xf6f8b4ba,
+    0x44a45f98, 0xd4033907, 0xd953fdd1, 0xd58292d6, 0x76cbc317, 0x08239a4a, 0x2572abe3, 0xba7ef3b6,
+    0x37d6ecfc, 0x4627363a, 0x606e7ce3, 0x8b9b6d79, 0x239b6b9b, 0xa2f42ad9, 0x8dbab343, 0x699ec7bd,
+    0xd7e8b5ed, 0x70c8a2b3, 0x7bbc9746, 0x116cff55, 0xbeb374dd, 0x6ba9e177, 0x360dfc9d, 0xfd5bd4a0,
+    0x72770442, 0x85c79818, 0x225ddfc6, 0x66ae540a, 0x642559c1, 0x5b74db08, 0x11067719, 0xc64eeca7,
+    0x1155eaea, 0xc2f879b3, 0x0f1bf5e4, 0xfcb937c9, 0x25548e95, 0x58fc556b, 0xd00cef99, 0xf92cf731,
+    0xb0ce57b2, 0x910eab1b, 0xb2aa4f50, 0x37a5323f, 0x8aefb385, 0x05678b7c, 0xaf952943, 0x00c84aae,
+    0x041154cd, 0x6ca2a630, 0xcdd5ae37, 0xa38d5cba, 0xb4467229, 0xcfe8c6cd, 0x96edf6d1, 0xa5f762cf,
+    0x1cd15a07, 0x536707ab, 0x79d66a95, 0x74a668e6, 0x678806fc, 0x918b975a, 0x665531ff, 0x276787c2,
+    0xcc53d3e8, 0xbccf824b, 0xcbbb6f69, 0x23d48261, 0x0494666b, 0xa146d7b4, 0xcccbe68a, 0x8df61895,
+    0x837e7571, 0xa22cd5ea, 0xe8e0f49c, 0x2ffb5061, 0x3989222b, 0x01cd4f49, 0x6022b9ad, 0xce2efabb,
+    0x868fa421, 0xf5d0e9cb, 0x4cdf349b, 0x05a04b72, 0x24385db4, 0x0a464624, 0xf3325d92, 0x101d7db8,
+    0x29faec93, 0x476df0c1, 0x1d3cf6d0, 0xac8c1946, 0x1c235e3a, 0xd7fea344, 0xbceabb82, 0x06a716b4,
+    0xa8a7548e, 0x4289aa1f, 0xd5fcb424, 0x7180e2d4, 0xc54c57bc, 0x5c7f7148, 0x9f30d96c, 0x947d6f1d,
+    0xfcee51eb, 0x542e6ba8, 0x491cb3f8, 0x450ac0b5, 0x8df26a87, 0x47cb8ab1, 0xeb5573a8, 0x76494881,
+    0x45b9730e, 0x285e07d2, 0x12680a25, 0xd73c2228, 0xc42617e3, 0xb800bbf6, 0x2648fd97, 0x1f5540b5,
+    0xcdf6d7e6, 0xe2103f09, 0x33a9dbba, 0x79d08f08, 0x011d490e, 0xd79ec736, 0x4e7a4e53, 0xe1b533aa,
+    0x14cd5b2c, 0xba390a04, 0xa1fda490, 0x5f5125a5, 0xeed1f492, 0x136ce129, 0x70e5c9c2, 0x7b093907,
+    0x7bef2236, 0xe9a7c203, 0xda2a1047, 0xe624669f, 0x8c27b504, 0xa43b61b2, 0x9701e953, 0x0823a27c,
+    0x989904c3, 0x1199d54a, 0xa300bf48, 0x66accf65, 0xaac08dbd, 0x789d77cb, 0x0290ca8e, 0x55e61d72,
+    0x0a03dfe9, 0x7bdb8412, 0x09e3ba3b, 0x29701e5f, 0x5964a122, 0x8e7c279c, 0x1be0c73d, 0x8b277f5a,
+    0x62985945, 0xf8883117, 0xb067693f, 0x6880a11e, 0x1706770d, 0xf4ab61c8, 0x3e3e3456, 0xf0c8708d,
+    0x4fe851af, 0xe08421d0, 0xf5edaccd, 0x3b4e8605, 0x1231bb6f, 0x6d18ac92, 0x3d3ada11, 0x8004ee42,
+    0xb15a6975, 0x24094ee0, 0xeea9b317, 0x43ea31fa, 0x15cff7dd, 0x34320c02, 0x3848985f, 0xb7963835,
+    0x2df03ac1, 0x71d9dfbe, 0xccf5aeb5, 0xa3b095bb, 0xc46d597b, 0xae76a040, 0xc45115d4, 0xb7c0e08b,
+    0x903ffc50, 0x6568fe46, 0xdfbe325d, 0x4d2b16cb, 0xec775b49, 0xd692d04a, 0x5ca2938e, 0x2ca8a7e6,
+    0xa1b36c6d, 0x24307e6c, 0x9a9d473b, 0x928dee4a, 0xf8314a9e, 0xe8f764cf, 0x2f30a86e, 0x13601d48,
+    0xcbe9478a, 0xfff06ac2, 0x5d29ba1b, 0x3620cc4a, 0x945d9f80, 0x743fdcc2, 0x6f941fa6, 0x3622220b,
+    0xa98c5b4b, 0x1f238f96, 0xd9d583c2, 0x6df53937, 0x5ebfa959, 0x66a269d6, 0xe68218bd, 0x1d9d4a32,
+    0x18f2e889, 0x524cc7ab, 0x39e6c72d, 0xce74304b, 0x8df64417, 0xd88febb3, 0xb6fab462, 0x16cf7e92,
+    0x92f1f059, 0xc3213f00, 0x80f9e2ae, 0xc7b1c134, 0x3fa03cb8, 0x2873884d, 0xb501c633, 0x83533ee2,
+    0xb48c584b, 0x2ee971b0, 0x41be69f0, 0x6e81b238, 0xa8e26e2a, 0x08394639, 0x9279344c, 0xa40f3d79,
+    0xcad81425, 0xe5fd2ef1, 0xb217521e, 0x7bc1ae04, 0x8d8772ac, 0xa2fc7a3e, 0x679e3a71, 0x20a6629e,
+    0xaa127f5b, 0x40734826, 0x7efe7d57, 0xd9900961, 0x38c80e1c, 0xe3082276, 0xaa8656e8, 0x47a32cf0,
+    0x12d6c1ba, 0x0e1490cf, 0x51f65d0c, 0x1443cd18, 0xcc16875d, 0xc21d9d3d, 0x2efad1c8, 0x8168bb3b,
+    0xbb6bb72e, 0x6d805df2, 0x346b3a49, 0x58a35700, 0x7b325dc2, 0x1386bd9a, 0x61e1a137, 0x49c8bf6c,
+    0x907a8df5, 0x0db6cf4a, 0xef4c84fe, 0x1b40adca, 0x463a5a4a, 0x08426dc2, 0xf42d1f53, 0xbccf8163,
+    0x8d5ed8a2, 0x5f832ac8, 0x34c8d414, 0x653399b0, 0x9175a6e0, 0x05d36478, 0x22cc20af, 0xcd61d32d,
+    0x3d00c52e, 0x17eb7161, 0x6e12eed5, 0x78310d81, 0x8f66557d, 0x429bdad6, 0x08e35c30, 0xd9fb1e02,
+    0x6a592bf2, 0xa9561710, 0x359a18ed, 0x78b6708d, 0xc087cb1e, 0xacf888bd, 0x237753d1, 0x4aeca472,
+    0x692c9b09, 0x46585396, 0x216ddfc3, 0x28f93ddd, 0x651525fe, 0xb49507e8, 0x91dae01e, 0xfe52516c,
+    0x892c43ec, 0xc059b800, 0xccd3a778, 0x41b95d84, 0x4bc6f03b, 0xfc6ec7db, 0xbd628c14, 0x1e954999,
+    0x997f6740, 0xb81c3e1d, 0x327b0b1f, 0x265ea95a, 0xda461e2c, 0xe1b82b5f, 0x95261272, 0x6ed211c0,
+    0xa974ed3a, 0xfff1d2ce, 0x667cc43a, 0x3f35f4e4, 0x53cf731e, 0x0491ce26, 0x39b0048c, 0xc882bb80,
+    0x25dac4b7, 0xcc019b27, 0x032e3eb9, 0x24af95c2, 0xc4d553ea, 0xf6bd3bc2, 0x5d5d87ed, 0xf8d026dc,
+    0x47463abc, 0xf0c53019, 0xe541e7ec, 0x3ca38e8c, 0x38446ce7, 0xf1bdafa2, 0x0f7b5676, 0xd14e8bdb,
+    0xad98ad8d, 0x56918133, 0x97fa5f35, 0x8854c94a, 0xf6a3c336, 0x98549d0a, 0x6d7c4d99, 0x46450307,
+    0x9cb625d9, 0x60edc767, 0x9b58c28b, 0x3e730acd, 0x3b4d10ac, 0xb34ccc2f, 0xbfb06ded, 0xe297a9bd,
+    0x1f0e848e, 0x5d65a3aa, 0x2cf6bb98, 0x2040c59c, 0x81b4e10f, 0xfa59fbe4, 0x695774a4, 0xa2585943,
+    0x83347501, 0x710c8e74, 0xea541842, 0xfab8f72c, 0x53ac91f4, 0x20ca5c76, 0xf5b9c199, 0xdf5ad85d,
+    0xd679a6a7, 0x43866209, 0xafcb6071, 0xa6db70eb, 0xa47700e5, 0xd0890c4e, 0x156c88db, 0xa04a26e0,
+    0x475ff537, 0xcda9ad8e, 0xbb9d9e8b, 0x654f1941, 0x692169d3, 0x81afc3f8, 0xf270f2a1, 0x891eca6d,
+    0x8fa4ea4c, 0x14e94d55, 0xb12ce53a, 0xaf08bbab, 0xa436bb6a, 0x93b91f6f, 0xcb0af357, 0xfcfdd706,
+    0xa3a80f0c, 0xfac8632c, 0x46d8d1b1, 0x497ddb8e, 0x4e2af40e, 0x869dd32a, 0x0e2f9087, 0xef2a08c4,
+    0x38d12f2a, 0xe8a875e5, 0x275eac6a, 0x1694bd4a, 0xf7609866, 0xd6468db0, 0x1f5f7f18, 0x1a94a0a8,
+    0xf8e5d87a, 0xf58cc14b, 0xd50fa7a2, 0x5a3da0fd, 0xcc04690d, 0xca4160c3, 0xb4c37287, 0xcd28dff6,
+    0xb4f307ea, 0x192c38af, 0x32a70f70, 0xbda01e2c, 0x25bc695d, 0xe4cc4a11, 0x9073630c, 0x801fd41d,
+    0xfc5b32bf, 0x01ae0a21, 0x5fbc94be, 0xcc9c8295, 0xb34700ff, 0xdb673a27, 0x987631d6, 0xfa783685,
+    0x61c96ab2, 0x25565049, 0x0774dafb, 0xbc3dc66a, 0x5cdc377f, 0xc6875876, 0x3e65e24d, 0xa89ff283,
+    0x875cf1a5, 0xf3c082a8, 0xcaf47c76, 0x88809560, 0x44cd10e4, 0x6309433d, 0x10d9b938, 0x6337905c,
+    0x5d7cb55c, 0x91c174de, 0x6dd8ed43, 0xc08f6d11, 0x57786d8b, 0x6c082643, 0x689072a1, 0x47122ae1,
+    0xe0b1af6b, 0x750f603e, 0x2af969dc, 0x89e66f2a, 0x8d8bf90c, 0x512d2adc, 0x9e423d6d, 0x5752a632,
+    0x1e3ff332, 0xa0f20bec, 0x756c0461, 0xd84ed983, 0x5c5076f6, 0x9d3a2dd6, 0x0ea221f6, 0xea65ea72,
+    0xa804e3de, 0xf3a82dcb, 0x0e21d088, 0x86aeb639, 0xb613b7d5, 0x774feb6e, 0x6635ddfa, 0x6642db60,
+    0x6c7234d2, 0xe20e9929, 0x89f877b8, 0x46e14462, 0x8b7d59e8, 0x7ed4a427, 0xc803ae0f, 0x13bd5184,
+    0x41c08e75, 0x57576c3b, 0x349cefad, 0x65eee38a, 0xfae54668, 0x08dcbbf3, 0xca632082, 0x24591f18,
+    0xee7ae28b, 0xcae0d723, 0xa38f5d24, 0x895b269d, 0x467a66cc, 0x12032c14, 0x09bd99e8, 0xb95d56b0,
+    0x18620f19, 0xac482716, 0xdac81194, 0xed407e5e, 0x4d587e3c, 0xd35e3bc7, 0xb07bf560, 0x897e4089,
+    0x1e261852, 0x97e75ca6, 0xfd2343d3, 0xfb65011f, 0x164eeac6, 0x7a99d63a, 0xd03cd002, 0xad134f7d,
+    0xca75469d, 0xa38ce74c, 0xd88f7e95, 0x05a22e50, 0x94036b63, 0xe3a23dbc, 0x3958687c, 0xa4a03d37,
+    0x00000000,
+    0x36d5900f, 0xf675a9d2, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000215679573337205118357336120696157045389097155380324579848828881993728 */
+  { 0x00000000,
+    0xa74fe1d9, 0x7abfa9c5, 0x56ffca41, 0x01e3a26f, 0x6bc818e7, 0x8619dbef, 0xa675eef9, 0x452ae8e6,
+    0x46fe75ac, 0xd1adec11, 0x2fb6ed9a, 0x750f566d, 0x57b82f9c, 0x297f3279, 0xec8e24b6, 0x7ba63401,
+    0x989a1b6e, 0x7efdbe9d, 0xcd31a64a, 0xd21f2d15, 0xb34c957a, 0x3eca25da, 0x3a41d3ef, 0x42b538e1,
+    0xafd780db, 0xcc5b58e7, 0x5bf0f8a4, 0x757c75ca, 0x9995cc77, 0x6700ec8e, 0xcb81fd87, 0xaf1aeb41,
+    0xd96c5b88, 0x2d5079ec, 0x09f1bb67, 0xff05fa92, 0xa0c3e1f8, 0x2cb56f38, 0x0c257df5, 0x95d8ff72,
+    0x2b8f8491, 0xe3f0a0ab, 0x00c39492, 0x11425bca, 0x601d2ea0, 0x5475614f, 0x843106b4, 0x8667eea2,
+    0x3f2a70fe, 0x3dcc8589, 0x31983617, 0x5d2a3b2f, 0x8935f836, 0x036c1960, 0x14d400bf, 0x3a5f0574,
+    0xb922d2b7, 0x83451412, 0x584de8a9, 0xf1fe25f6, 0x3b0f8890, 0x0b8bd5de, 0x60c48bec, 0xe75bd59a,
+    0x29369cc7, 0x68c1462e, 0xbd719145, 0x9b14a3db, 0x47180321, 0xdfd8b9ca, 0x1b9eea80, 0x300f50cf,
+    0x2fb0ed4e, 0x673d0e8e, 0x3e40ec7c, 0x880dac7c, 0xa1e7caec, 0xb35f7758, 0x77934e03, 0xf4e6dea9,
+    0x1ac15535, 0xb3442a6c, 0xb1dc2cd8, 0x5cf2a9d2, 0x182a9a7c, 0x9274f926, 0x73d1680a, 0xa74a6a16,
+    0x7e6ddbd8, 0x85d725e5, 0x366bcdb4, 0xf63a1591, 0x967aa683, 0x2b4424b5, 0x06734618, 0x3838f1a5,
+    0xa0258d98, 0x41660e4a, 0xa338d1f1, 0x7d6fd0e1, 0x163fcc48, 0x7e94b0e6, 0xe613046f, 0x184f74d6,
+    0x39b018ca, 0x6c68cc12, 0x9de1dff1, 0x8577a4ed, 0x0143b8f1, 0xe1df3cbf, 0xe08cd81d, 0xb2c25cba,
+    0x3dad4887, 0xef37722a, 0x404ab3b0, 0x19b34042, 0x342a5690, 0x975f1b05, 0x9fc4bfa0, 0x44f1c25a,
+    0x265e3039, 0x24bbf787, 0x2c0c68c6, 0x0f6288ce, 0x056fbf37, 0x8eb5f27b, 0xf6a3bb7a, 0x4c3414ad,
+    0x89adf40f, 0xf5de8030, 0x43023f61, 0x77bc2c75, 0x8c85f279, 0x25cbcb5f, 0xaec4c549, 0x000cd428,
+    0x634f7010, 0xb0d613ba, 0xf4b434b4, 0x7a1a3ff9, 0x63d9a27c, 0x508f2a89, 0xd0698583, 0x461527f1,
+    0x38c89839, 0x3a449207, 0xce0617db, 0x14126893, 0xbfa48554, 0x3d990ff8, 0xcdd38c07, 0xe53dbb22,
+    0xdd19fd3b, 0xbda3da46, 0x2a667cd9, 0x8668ae3b, 0x1454823f, 0x3988f50e, 0x1dbf1ee0, 0x0c3ffe2f,
+    0xf21487a5, 0x4bebb492, 0xd36b43e2, 0x9c84bc52, 0x820524a1, 0x7c0cdf76, 0x90d4117d, 0x85aa7486,
+    0x46e1bf1b, 0xbaab1829, 0x593bd0fc, 0x72cfa165, 0x85767aea, 0x45e554f6, 0x24333a96, 0x7f6504d8,
+    0x3d82c573, 0x514063f3, 0x8f57523f, 0x5cc838f9, 0x50786a97, 0xe906f538, 0x8598e74b, 0x93748d21,
+    0xda385d9b, 0xaec381f0, 0xe83ee3f3, 0xc2d77eec, 0x61018034, 0x2a96d201, 0xf07a84b1, 0x6101e6c9,
+    0xb269687d, 0x4a53a1e2, 0x59e5d841, 0x82ba09f3, 0x96811f9a, 0x3886f31d, 0xd769a4fd, 0x831cc936,
+    0xcb2f747e, 0x18a0ad64, 0x45fb626c, 0xe652bdfa, 0xe9520cba, 0xf3acc019, 0x1113656f, 0xb24f5d18,
+    0xebe47de8, 0x2bea543f, 0xaf317869, 0xd650045c, 0x776dd44b, 0x2c24bf84, 0xa94c891b, 0x2a36b0de,
+    0xcb6c2174, 0x7df29c85, 0x1bb19974, 0xdc20aed4, 0x2b2b0ea1, 0xc7d751d4, 0x70891af8, 0x95dc81bb,
+    0xfc67e29f, 0x3f5030ac, 0xad436844, 0x6c7e982b, 0xd4882d65, 0xadc09175, 0xbb30d2e1, 0x604e03db,
+    0x664e4bdf, 0xe21dbff0, 0xbf9e35ee, 0x6b7b9549, 0x4e3df477, 0xc4df5304, 0xf5a38fc7, 0x7d9f1af3,
+    0x03dd7526, 0x38e21cdb, 0xd186d016, 0xc096cc18, 0x13fdeec9, 0xc6308e55, 0x13d9e64c, 0x3d1ffb7f,
+    0xf3fcfbcb, 0x04d2dc66, 0x2471b3d6, 0x1d2910fe, 0x47294665, 0x653ea3ab, 0x3718d136, 0xa53897ed,
+    0xdc35dbac, 0x068baddd, 0x3b3953a4, 0x0fa2c744, 0x8b0826a6, 0x03dd7a11, 0x1de107a7, 0x88917c64,
+    0xeb9f12df, 0x24c04d71, 0x16febe6b, 0xb1e07ca0, 0xae20e8bf, 0xb4ae15eb, 0x89458ff1, 0xe3d34f7a,
+    0x29d758f2, 0xce07f60c, 0x08f57768, 0x00b44b20, 0xb97309ad, 0x99a7acbb, 0x1b1bc3e7, 0x1712e028,
+    0x94e1d7d6, 0xf2045a34, 0xe78a1cfd, 0xf85f7a3f, 0x9aba4723, 0x118c555a, 0xc64ed6e1, 0x6d85d5f1,
+    0x7d2a7b72, 0x16e0e805, 0x1a7fbc7d, 0x9e338884, 0xee1760d2, 0x517cd2e2, 0xd80cbef3, 0x25f7ea09,
+    0x16c71b36, 0xd6ef78a9, 0x6037888d, 0x7863c35d, 0xd64e5054, 0x2c4c425b, 0x385e67ea, 0x0146221d,
+    0x83619a6a, 0x3fe697e1, 0xf94410dc, 0xae9e9d0a, 0x2ad6d7c9, 0x94a53e15, 0xfb1a57f6, 0xd879d4d8,
+    0xf5ddce9f, 0x60c80315, 0x0e552b0f, 0x9e05ba9a, 0xfd67ee2a, 0x57cc9f52, 0x1cabc986, 0xe21c81f1,
+    0x1c82391c, 0x4f3e3475, 0x9978a516, 0x9e6d58f2, 0x544c7491, 0x3cb5482e, 0x145d956a, 0x99b729a7,
+    0x08d64e77, 0xbc2b7bf9, 0x80eedb61, 0x2f627b1a, 0xa5f3f8dd, 0xa56eddfd, 0x2fea4c18, 0x983233f0,
+    0x0a0668c4, 0xb24c1139, 0x10be89b6, 0x9c3cdb72, 0xccac17d2, 0x8aef99f6, 0x13011ffd, 0xbe793387,
+    0x96479f73, 0x194aab85, 0x2f145674, 0x4b419b21, 0xd0c651d1, 0x7cde49ac, 0x2572e6b6, 0x60712dfd,
+    0x8c071cfe, 0xbceed40c, 0x0e206cf2, 0xa6abfe36, 0x54f11a5c, 0x7161bd29, 0x48540a6b, 0x36610511,
+    0xe38cf4a5, 0x602038bd, 0x987be183, 0x96c27ad9, 0xb6f0f984, 0xfa555429, 0xee0ec906, 0x47f3645e,
+    0x5fcc4f05, 0xaba59595, 0x66152ac3, 0x60030a09, 0x56a67a4a, 0xb704f394, 0x5051a4d2, 0xe9a4bc26,
+    0x0f4a3dad, 0x13f5f6e7, 0x46cf8285, 0x2244632b, 0x6d9c6347, 0xd100d691, 0x87336914, 0x49e51f38,
+    0x227aa63a, 0x30a5a11f, 0x0177717e, 0x1f612efb, 0x40496796, 0x77ed11e6, 0xd2c83be4, 0x053f8fca,
+    0xf88b86ad, 0xe851e350, 0x4e6c5a39, 0xf3e70fae, 0x33aa0cf1, 0x8942bc26, 0xb27bfc98, 0xf62a14d8,
+    0x330bce63, 0xffb03f59, 0x7de6d772, 0xa2510edc, 0x10f14bea, 0x35461b7c, 0x632942bf, 0x93b06d4c,
+    0xa220b1ae, 0x2413066a, 0x586e1600, 0x0f449af4, 0xc12438f8, 0x22ed347b, 0x3b770981, 0xbd09f620,
+    0x400e0f50, 0xd20c84e2, 0xa1d2258c, 0x424ded80, 0x937cf55c, 0x5eb1efc2, 0x610c279c, 0x2ed77c6e,
+    0x7dba397c, 0x169e18f1, 0xaae80e47, 0x023a9471, 0x3132a436, 0xbe8b0485, 0x5541cc51, 0x2617d08c,
+    0x5b0dba4d, 0xf562ffe0, 0xfdbfaedb, 0x6cb1dc26, 0x0b332e7f, 0x68bdb635, 0x897acd65, 0x15a14f2f,
+    0x2afd4f53, 0xeae060f1, 0x31d58148, 0x70cb3b16, 0x74c0ab9b, 0x1aec28f1, 0x15792ff0, 0x7da07b8f,
+    0x028feec8, 0xa7e41ed6, 0xfed03e42, 0x7e4a2498, 0x949fc6d5, 0x4b1bce14, 0xcc565ebf, 0x0027c7f2,
+    0xde75d83b, 0x43a875c5, 0x2426112d, 0xddaf899a, 0xdcd7bde9, 0xe72ae78a, 0xb93856d5, 0xe67b7cd4,
+    0x7ac1e92c, 0xeda870e7, 0xdc240f1d, 0x4f859f28, 0x0bec4221, 0xef88cb4d, 0x2eee34f3, 0x125a0f35,
+    0x9d259e46, 0xd00b037a, 0x42cc945c, 0x2d60bdaa, 0x5df4ff9f, 0xcdba5d79, 0x8f7ffbdb, 0x1dae83ea,
+    0x8e8cc537, 0x299a8899, 0x8c39414f, 0x10d44cd9, 0xf6dbab4e, 0xe3bfc421, 0x0f191db8, 0x40b8cc79,
+    0x80d44864, 0x9dddf818, 0xafe4dbb5, 0xafd35e8e, 0x7efb6a11, 0xa64ba2c2, 0x974849d0, 0x64311eda,
+    0x1f30a98f, 0x9c2a588d, 0x00d7817d, 0x8ca44a29, 0x5316f85f, 0xf77d9b67, 0xc98a5fcc, 0x06b5b443,
+    0xc75b64db, 0xec4b30d0, 0x922538a7, 0xc52610c7, 0x05239396, 0x4dde4168, 0xe8bcf04a, 0xcb7d06c8,
+    0x31234822, 0x68d1aa95, 0x23120ebd, 0xf76bd085, 0x067e2ca4, 0xa5c75c4e, 0x873bad2d, 0x98061bd4,
+    0xb903fb26, 0xc14cc8a6, 0xefb0db56, 0xa7282922, 0x41336786, 0x5b774339, 0x23dc497d, 0x97a1ebda,
+    0x3bb2a902, 0xc291fe61, 0x56dac028, 0x3a68e6bb, 0x98c743a4, 0x3438ed41, 0x4c524cbf, 0x048a4770,
+    0xb6201177, 0xc1aca3cb, 0x2a145262, 0xfb5e1e1a, 0x63405718, 0x163232df, 0x0207d169, 0x826be645,
+    0x96f410de, 0x60ac450b, 0x7187daca, 0xf6d4bae4, 0xf3018d9a, 0x075997dc, 0x9e099962, 0x11dd0ad9,
+    0x807062da, 0x54cdedc0, 0x80b33eb1, 0x84dd7166, 0x1270090e, 0x11981f51, 0xe06b44fe, 0x538b888b,
+    0xa9504272, 0x72e0eef2, 0x4c16fee5, 0x37ba105a, 0x2012941a, 0x181c8800, 0xd41d178b, 0x11e58781,
+    0x6559f007, 0xe3040adf, 0xeb4675a6, 0x6d8e7bd9, 0x9f3ddfc0, 0x8d901f78, 0xc56c3093, 0xfad37594,
+    0xc6809d43, 0xde75e51d, 0xa653a93c, 0x867a77dd, 0xe2283429, 0x899ffb3f, 0x92c5a7f5, 0x76c713f1,
+    0xa7498630, 0xe78bc1a5, 0x67487346, 0x55e48061, 0x35da1971, 0xe069104a, 0x79683f0c, 0x2415a7d3,
+    0xaee209d4, 0xe8518986, 0xeed35164, 0x432ec9a2, 0xfbd97941, 0x389673a0, 0xbf604b54, 0xe687ac4c,
+    0x73d63dca, 0x7a7f0659, 0xb1a0fe8a, 0x14bd97c8, 0x7c572ed4, 0xa7e8ce7a, 0x53f007a2, 0x74fdc077,
+    0x916d9963, 0x4957f848, 0xcd3c5f15, 0x2561e55f, 0xe9f122eb, 0x04af3a27, 0x77bf13c2, 0xf650b175,
+    0xe66d557c, 0xc48441c9, 0xa272a408, 0x0884f80b, 0xe268897f, 0xeeaa965d, 0x0a8adeaf, 0x4821a9a2,
+    0x938add21, 0x058037de, 0xeeb9a8e7, 0x3021b622, 0xd397f1cc, 0xa7ace929, 0xe5ed538b, 0xe8b5257e,
+    0xce308930, 0x1b1888a8, 0xbeb644ba, 0x055c3f65, 0xa24ebb48, 0x1fec38d1, 0x3f14646d, 0x315d5edc,
+    0x07761c96, 0x18f80210, 0xf26cd6b6, 0x09462455, 0xaf55a87f, 0x461efd1b, 0x221c418e, 0xa26e5a62,
+    0x3fa92b37, 0xf12c0f81, 0xd53bdded, 0x608b2df2, 0xaaaf12ff, 0x0f9b44e9, 0x87b20547, 0xdd6d86b2,
+    0xa1fd54bd, 0xd82f81ab, 0xfb738d6e, 0x7ff6bb86, 0xa4d83855, 0x2d29ce82, 0x080a9898, 0x82721fdf,
+    0x6161b7ec, 0xf29153f5, 0xca0374bc, 0x98bdeffd, 0x8052f51a, 0x37575744, 0x119fd6b5, 0x30e813dd,
+    0x552e867a, 0xec1d9bce, 0x37e49f17, 0x25f5786e, 0x30f88009, 0x16c045bf, 0x2915ca84, 0x9799a4c9,
+    0x38da2e5c, 0xbf2bb633, 0x4f96c6b5, 0x1bf8509e, 0x9ce27899, 0x4b5d7549, 0xb60721d0, 0x8e70215d,
+    0x799ae8af, 0xa5bf72ef, 0x47feda65, 0xb0adb9d9, 0xaf805b5f, 0x1db20890, 0x508fc7b3, 0xe6bd1c4c,
+    0xfd9eb8f0, 0x959dcd51, 0xa1446d6d, 0x716c8094, 0x5af15a2f, 0x6d6cd191, 0x9a47fe7e, 0x643fe8eb,
+    0xa002fb82, 0x298fbc18, 0x55f494df, 0x3299f627, 0x3897107c, 0x6c42c9c0, 0x080d1ba0, 0xa71cda58,
+    0x7eaabd9a, 0x8ba48065, 0x93c99f1a, 0xfdaf6558, 0x0456dee8, 0xf2ae3ee4, 0x765e96f4, 0x9319b175,
+    0x0f62ed1b, 0x1dc2960c, 0xa01d0b0e, 0xa82d2d3b, 0xe33fff27, 0x0da79812, 0xe525a784, 0xb0a4ad90,
+    0xfe96684a, 0x15f3e966, 0x559cb392, 0x9124d9f5, 0xffe2c659, 0xd9310f66, 0x2da1cad2, 0xe3fac92a,
+    0x8fe82016, 0xf92f0757, 0xf3b84363, 0x7d13ecd9, 0x5910070b, 0x92ef0732, 0x6fee5720, 0x352529d0,
+    0x10c55e3a, 0xdf7b2b85, 0x8089ba3f, 0xe6eeb794, 0x19893c9f, 0x3b3a4c06, 0xea3d63f8, 0x681d0958,
+    0x1f89b45e, 0x9f9b3f9a, 0x07e99262, 0xf6073b80, 0x710674e6, 0xb455e95d, 0x30f42351, 0xe8c3d478,
+    0x974caabb, 0x154a18c5, 0x499887bd, 0x28104887, 0x8150e6ad, 0xc0fdfc1d, 0xc0d9e7d8, 0x307f3571,
+    0x6db2c0b1, 0xe853a2cf, 0xb7063b9e, 0x9a943301, 0x2e74d584, 0x96f3b154, 0x9c0c65ac, 0x29205cf2,
+    0x88e82793, 0xf6a3bd02, 0x437765cd, 0x74352557, 0xef9aab7c, 0x550d7b74, 0x771b1092, 0xb230b509,
+    0x531099e2, 0x947aeb25, 0xe5735ec8, 0xb7840463, 0x5a71baca, 0xfc1ffe20, 0x6bffa5d3, 0x3a4f908f,
+    0x012e12fb, 0xef7b27d8, 0x8a9a39e1, 0x67450d36, 0x37614dae, 0x237fbbb0, 0x86360efe, 0xb72bf97f,
+    0xbbba4ea2, 0xea116d80, 0xde77a5a2, 0xb5738aea, 0xc7348478, 0xce1821b4, 0x0c868645, 0x25beb788,
+    0x2e57da0f, 0x62aef6fd, 0x0107258e, 0xfcd2c398, 0x4c0424a9, 0x7a11cf86, 0x38137752, 0xb7b99e68,
+    0xed96a25f, 0x913bf77c, 0x93d65edf, 0xbb1a30fe, 0x1986a175, 0x96a2ba62, 0x2cbc2357, 0x014e51e4,
+    0x389e7055, 0xbf66e12c, 0xf8ac807f, 0x978ba23c, 0xb097972d, 0xd446a10f, 0x2ef16b90, 0x1f51d165,
+    0xb9295687, 0x1770a271, 0x95cb5b1f, 0x56740ecb, 0xd8609ed0, 0x3a40ab15, 0x93007d12, 0xdb5f9e69,
+    0xe373e30c, 0xf19264fd, 0x79fed201, 0xd771c46d, 0xf7a04f69, 0xb12235dc, 0x55a1afc8, 0x8f3f7b76,
+    0x57896f96, 0x2e3b1f6a, 0x565950cd, 0x2753be97, 0x3413227f, 0x3d335e0c, 0xf8431a23, 0x7d8b9fb8,
+    0xfe88b44c, 0xe3944305, 0x0dcd1ab1, 0xdba52be3, 0xb8bd1b11, 0xd70faa94, 0xf1817234, 0x52eb890d,
+    0x33137a14, 0x49f66997, 0xc0acb95f, 0x7dccd404, 0x00c97afc, 0xea08555e, 0xacada0d4, 0x78128827,
+    0x2ee988b4, 0xef6e2a3e, 0x0d846338, 0x425d77e8, 0x0211516d, 0x9d9d2986, 0xcf0a2c65, 0xa5c9b874,
+    0xed509533, 0xa4ad415e, 0x7df6e14c, 0xf1b47d94, 0x691c3d07, 0xbe014c65, 0x5e951d3a, 0x8f8f9b12,
+    0x8e2e53f3, 0x29f7f449, 0x95f574f0, 0x32d753d5, 0x2b9334d8, 0x42f0c382, 0xf5787501, 0x92c6b27c,
+    0xd5c500da, 0x198889f5, 0x28f8cb28, 0xacd5b99a, 0x4c447f04, 0x87513091, 0xb94ea012, 0xd429a9bb,
+    0x60f8c67a, 0x7ea3d2e3, 0x588795cb, 0x4adf429f, 0xa9656a37, 0xeea20d93, 0x99b4c3d6, 0xed0307af,
+    0x93963e88, 0x3aa5a856, 0x775c8d22, 0x2e7875d1, 0x537edeba, 0x15a42327, 0xe451e082, 0xfa3044d4,
+    0x7446c031, 0xd444dba4, 0x296391a0, 0x78f9f832, 0x90c75501, 0xae65b9f8, 0x7bc802d6, 0x6ba5a4b4,
+    0x7f90a325, 0x0d6dd965, 0x39c6e455, 0x5f57d745, 0x7efff5b3, 0x6d7c4b52, 0x732957e5, 0x60785f3f,
+    0xfe4228b2, 0xd2222797, 0xd8b32713, 0x4e4ac250, 0xa9601edc, 0xaf04b0a6, 0x0087951c, 0xf079f884,
+    0x2b26ec66, 0x38d380c6, 0x926101eb, 0xd5b535c3, 0x19abac1a, 0x1cf5eb77, 0x432fbe6d, 0x22669265,
+    0x07888a00, 0x43e67c84, 0xd36d8741, 0xc3601b03, 0x01b318a9, 0xf7d46ba7, 0xa0c3c8e3, 0xc629b4ab,
+    0x639654cf, 0x036b00b4, 0xbfa764e3, 0x2a87d6dd, 0x7a4b2ef3, 0x6f8d7d38, 0x83c39920, 0xc64aae83,
+    0xb401868d, 0xfd15856e, 0x2c344ffb, 0x6a6b5b8b, 0xecd1eb5f, 0x82170d1c, 0x56487fe6, 0xf26a7357,
+    0x88d5cf47, 0x5356b4b5, 0xe043247b, 0xfa48c9ea, 0xddedf923, 0x5fd0d7f9, 0x1687e526, 0xdafe1adb,
+    0x8ab3b63d, 0x5793dbf9, 0xb4495163, 0xbb8ccd40, 0xeaf290cd, 0x83ef409b, 0xde1a9c73, 0x5921fa8e,
+    0xc46e9040, 0x62c1cc35, 0xb7d67ec1, 0x4d0b595d, 0x544c3a1d, 0x8546fcd6, 0xe00c805d, 0x5511becc,
+    0x581c4696, 0xe3cf7443, 0x147a08c2, 0xc126a66b, 0xc2ccd0d0, 0x1c964fe7, 0x63e8e404, 0x91299269,
+    0x00000000,
+    0x1b6ac807, 0x7b3ad4e9, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000107839786668602559178668060348078522694548577690162289924414440996864 */
+  { 0x00000000,
+    0xfbe5b6d7, 0xfb170e71, 0x90779f7a, 0x92331cd1, 0xb0bcf794, 0xfb043158, 0x8a7de92c, 0x7fa4c948,
+    0x1ae527fd, 0x690ea06f, 0xa71f9e7d, 0x5f6d4925, 0xc8894906, 0xbb002f9a, 0xddf7fc96, 0x4b73ce82,
+    0x76a053c4, 0x383b74e8, 0xa6c0dac3, 0xd4d3a745, 0x8ce0d33e, 0xd43d801f, 0x681030b9, 0x40c8c981,
+    0xd5e8de14, 0x29a5a16d, 0xb0e7e731, 0xd0127c7c, 0x94f00fbc, 0xc2240c2e, 0x52d6800f, 0xd72d86fc,
+    0x39ca6262, 0xad4fad68, 0xad270912, 0xa94e8930, 0x9d669103, 0x4783f0b5, 0x4390dd4c, 0xfc91be6c,
+    0x8ae7d42e, 0x7486f660, 0x4c40a63e, 0xd3e36e83, 0xd4d52788, 0x9739ee6b, 0x4ad11278, 0x0ad01ed6,
+    0x18a7b526, 0xb07b986d, 0x933e3f52, 0x999773d9, 0xfcbc5303, 0x3cdc6c13, 0xa0527e45, 0x62ce72da,
+    0xf1c6d1a7, 0x23badb8e, 0xc967eef8, 0x9029c249, 0xd5b6de17, 0xab233fc8, 0x047d55d4, 0xcde1f61d,
+    0xabcd1436, 0x73193b50, 0x855b02e4, 0x5e15af0a, 0xaffd9268, 0x21f5a05c, 0xeee8cbb3, 0x6b485a0e,
+    0x027fe7a9, 0xd98b74e1, 0xa98c33d8, 0x1b022236, 0xb8c5a0ab, 0xc8ce3363, 0xb8020699, 0xeaddc569,
+    0x8fed802e, 0xffc1ce94, 0xabfdf0ec, 0x423bb7ee, 0xee5bcb40, 0x060ca01a, 0xf6896ca6, 0x0d718a9a,
+    0x6bd8eedf, 0x4c72ae98, 0xb8179719, 0x0ca5600b, 0x52a62ef2, 0x3d68f442, 0x6eca934b, 0xc4ed5f3f,
+    0x10fba348, 0x1410a2a9, 0xb624afcb, 0x7a01f23c, 0x65ec1151, 0x187c9465, 0xb5767afe, 0x895757de,
+    0x4d8b1af1, 0xcc1a85a3, 0x72f736e3, 0xea5392c8, 0xa9f53beb, 0x89aec0ea, 0x3b38c59c, 0xb3117c4b,
+    0xaadd44c6, 0xba6d94f4, 0x27dd869d, 0x0cdb3a19, 0x5cd01b11, 0xb362da45, 0x4cfcfc39, 0x71ef0802,
+    0x49fe0eb5, 0x8427d63b, 0x57f66516, 0xa98b9486, 0x32a9196b, 0x31faf984, 0x4cd462e7, 0x141832d4,
+    0xb14c15c8, 0xdcef8315, 0x26ba23a1, 0xbbc48e25, 0xef06aa82, 0xf5d5088c, 0xaa93dc7b, 0x1076e837,
+    0x3913979b, 0x4d04ffae, 0x9c1d8db0, 0x259f57e1, 0xe16f4aeb, 0x4cb53a1a, 0x531a503d, 0x70176fdd,
+    0x3d0568f2, 0xf303d867, 0x7545331b, 0x431d5cbc, 0x5a454246, 0x0890dc2a, 0xd1ed7e58, 0x111e0a41,
+    0x12ce55f3, 0x7acfc8a7, 0x9039ad6c, 0x65ef57f6, 0x45d02eec, 0x833122fb, 0x4230f448, 0xf5a0f969,
+    0x578724c1, 0x08179f85, 0xfedbb73f, 0x7aa4e777, 0xefec0be2, 0x3c5d6492, 0x519393ee, 0x8d43185f,
+    0xad11423e, 0x0dd41674, 0x2bea744f, 0x17f3b084, 0xdbd4442e, 0xd9abbabb, 0x73d4033e, 0x3f3adec5,
+    0xc8e5c58b, 0x401e6ed8, 0x4f027c15, 0x97f97d83, 0xe669d147, 0x6b870d58, 0xc00fc95c, 0x6e04c6d5,
+    0x72d30859, 0x76e07118, 0x3f6e7cc0, 0xb5ec16a8, 0x7a04f96c, 0xf9605386, 0x8e0da553, 0x480f4d89,
+    0x3bbfe4dd, 0x8a4328c6, 0x97bf4b40, 0x61dd75cf, 0x99617c92, 0x327dab89, 0xb6bb380d, 0xe4db94b5,
+    0x0bdb8945, 0x9c3c2559, 0x0a4fc734, 0xacd0e44e, 0x654853ab, 0x03bf5f2b, 0xf5cf8087, 0x576c34cc,
+    0x4607483d, 0x061f93f8, 0xbbdcc464, 0x8ba97305, 0x4f9112b3, 0x250bb9c3, 0x6ce4d037, 0x3c1d730c,
+    0x030b6917, 0x8912fecb, 0x51c8ca24, 0x265c3705, 0xb80694c6, 0x9c85ce81, 0x9048ed50, 0xebda6538,
+    0xe99b28f0, 0xaf21988f, 0xdafd1da0, 0x125d5880, 0x07636134, 0xd9cc7b40, 0x161f9a0a, 0x56309f82,
+    0xca9607cf, 0x10893a86, 0x6d771947, 0xb65120f7, 0x9fd0ca4d, 0x3af2bfe6, 0x8d3bb45a, 0x1a459c98,
+    0x3c77681c, 0xc66faaf1, 0x6f123d0d, 0x172e4463, 0x8b10cb9b, 0x60673283, 0x1b06bfd8, 0x6617151d,
+    0x14bf03f1, 0xa324872e, 0xcf6d16ad, 0x33f2db9d, 0xfb4ac124, 0x57643ece, 0x758658a5, 0xa629cc26,
+    0x00cde219, 0xfebd4134, 0xa577f93b, 0x9c690d25, 0x87e5bc6c, 0xfd78f858, 0xb7e10250, 0x723b3a08,
+    0x37f5cf21, 0xf4de04c6, 0xc6b57d56, 0x5da4c9ad, 0x93681344, 0x946273d0, 0xb05e67e9, 0x4484f308,
+    0x20d7577d, 0x8749cd62, 0x11cc0a91, 0x13860d73, 0xc1071ad3, 0x6da1f93c, 0x17a0d80b, 0x63b62548,
+    0x3ea5cf91, 0xa6546d56, 0x69da78e4, 0x65cb7f13, 0x7e9b7304, 0x2578db96, 0x3f8f2e2d, 0xfbb1704b,
+    0x745b7676, 0x3a6d0f22, 0xea54f73f, 0xd21e1e3b, 0xfe5816a0, 0x99f5943d, 0x3a6137ca, 0xdb195aaa,
+    0x4d8e63fb, 0x40235b82, 0xf70812fa, 0x263eaff4, 0x892ad970, 0xc7438ad1, 0x8c1ed834, 0x411992e0,
+    0x62203797, 0x97fde9af, 0x95144751, 0x46892b91, 0x2d0fad27, 0xc6969298, 0x6bf1d6e9, 0x05330df2,
+    0xfc369532, 0x14979ddd, 0xa82f0bba, 0xd84adc7b, 0xc7eb8a1c, 0xf132cfbd, 0x4c4432eb, 0x220806a8,
+    0x10cc6a32, 0x0f192d52, 0x7876c11f, 0x3f5238c1, 0x4ab2b40a, 0x496f0feb, 0xa55e28da, 0x04a451de,
+    0x5f37e5d9, 0x5dca8736, 0x113f7fb6, 0xe49e1509, 0x7ddb768b, 0x484ad8ae, 0xd658b5db, 0x8913d6d0,
+    0xffdce903, 0xf33a3362, 0x025d1861, 0x3631789a, 0xb1eff186, 0xb00d7d94, 0xe39a6409, 0x601b487d,
+    0x033490a8, 0xb2b38809, 0xab5836ca, 0xf735c0a8, 0xc8dd54b6, 0xfdecdee0, 0x02c0ed71, 0xb744cab6,
+    0x2325f60c, 0x5378fddb, 0xd0035cfe, 0x9edbe924, 0xae13f5b4, 0x90dcd71a, 0x52b2d08f, 0x4ff8ee62,
+    0x910a0f8e, 0x23239b4d, 0xaecca545, 0xf694b3ae, 0x932a16d7, 0x7eb42c43, 0x998e0013, 0xf5b600d8,
+    0x42a97af3, 0x6b791209, 0xf78d687c, 0x9955a66c, 0x60a39f5e, 0x6fb2e6ca, 0xbab5fec1, 0xec772dbb,
+    0x65ee4eb8, 0x768067ce, 0xf8e8b81b, 0x1082aea9, 0x2f3751c4, 0xe45572fc, 0x0e8492ac, 0x006240e2,
+    0xc58e1418, 0x9c5ae6f0, 0x8c63e7bd, 0x1d654746, 0xfe0c6dc8, 0x7f9bab4d, 0x3e80bb2c, 0xaea825c8,
+    0xdf15a8be, 0x844b1c6b, 0x45ee2798, 0xcdcb0581, 0x16b1e54d, 0xeb6d1e60, 0x0239a25f, 0x385df187,
+    0xb68efb19, 0x87a38415, 0xa8bee280, 0xedb85d94, 0xceeb5427, 0x0c1e3732, 0x5d6f99a4, 0xb7946253,
+    0xcff19f5c, 0x5d9272ef, 0x67d69796, 0x27c45b74, 0xcee10b63, 0x4705a215, 0x9a7f194d, 0x7fcf34d1,
+    0x554e986d, 0xa2362e57, 0xe904f0cd, 0x84066fff, 0xe5e93ffc, 0xd4e37057, 0x12f25d3a, 0x7191f3a8,
+    0xd22d02bd, 0x079ffde4, 0x9eddec87, 0xbe8f4bd2, 0x7e01bc41, 0x0c946092, 0x9e3286dd, 0xcec60880,
+    0x215fbf0c, 0xa8363a24, 0x6db296c2, 0xff0b74a6, 0xa5c6bc0c, 0x5c817d66, 0xdf1d8759, 0xab2c9d6a,
+    0xe874f2ee, 0x9240df2c, 0x4bfff5a2, 0x6c71b693, 0x90e495a3, 0x6a547ad9, 0x23e275ff, 0x3b362b91,
+    0x0d505409, 0x4d2b644b, 0x4822fdb6, 0x2259023c, 0x879c563c, 0x874930bb, 0x72f00c29, 0x6f4a050c,
+    0xa8f72d2d, 0x370c0bec, 0x364d71db, 0xe6d6e00d, 0xc21cdf6d, 0xcadd42b7, 0x150c468a, 0x72a426a3,
+    0xf0576e04, 0xc2044640, 0x9d268a20, 0x5aab4466, 0x1718e59f, 0x488751da, 0x87155ca5, 0x91785a0c,
+    0x0507593d, 0x7e535a2c, 0x31d88538, 0x8a1e7c0d, 0x7df2924c, 0x7f8c5e57, 0xe5c0e21a, 0xa2d95e05,
+    0xf06934da, 0x430009e2, 0xaed4822d, 0x42791632, 0x906c5785, 0x3cb064ff, 0x8fe4e6fe, 0x3d74f376,
+    0x1015295a, 0x94480946, 0x750aeffd, 0x2989eabc, 0xf97e2042, 0xf5eda7dd, 0x4486c039, 0xf6feaba8,
+    0xb209752d, 0x363c943d, 0x78225de8, 0x51a66e9e, 0x89d25182, 0x139c8a4f, 0xe3bc5900, 0x8411af80,
+    0xa6e6ae39, 0x90a0a196, 0x56c372ca, 0x08864664, 0xfa93e578, 0xbade0737, 0x4bfd6bc6, 0x33738bb2,
+    0x432400a8, 0x659dfb88, 0x4e0ca3b9, 0x171c4e4f, 0x337911fe, 0x32644df0, 0xda064aad, 0xa58f0466,
+    0xe0487a14, 0xa06e9fee, 0x635e8c5c, 0xd1b1ee66, 0x500a4ae9, 0x715e0650, 0x8d00083c, 0x37ffa310,
+    0xab73322b, 0xb2c43a93, 0x0736602d, 0x887866fe, 0x762161cb, 0xf083a025, 0x5b5eaaf4, 0xd37c24e6,
+    0xd04766d6, 0xa1b5b611, 0x0a632585, 0x18311b49, 0xfd53ce19, 0xfbf1c223, 0x4f1d1368, 0xb2d2e0b8,
+    0x8495b85f, 0x85699e7e, 0xe4077e3c, 0x265e79c1, 0xb341798e, 0xd14d6609, 0x9a9574ba, 0xa9bc35e9,
+    0xaad33d30, 0xb306e57c, 0x17ff1c26, 0x346bb4ff, 0x4b0eb2a0, 0x41240872, 0x172143cf, 0x6fe73001,
+    0x67409f22, 0x617debe9, 0x65fbc3b8, 0x1bcee346, 0x46bd6ba2, 0xd86d3fdd, 0xdf5e1ffb, 0xfb8e9e08,
+    0x8e01c5c3, 0x973fe490, 0x9884e7a0, 0xb5f0a35a, 0x43188538, 0x479e8d0c, 0x95f1f64b, 0xc1ccfebb,
+    0x406c135e, 0xbcfa85a5, 0x729d2f65, 0x66595744, 0xda3c99f1, 0x9dabafab, 0xdd9f1642, 0x9afe052a,
+    0x3cee9cde, 0x76047c8d, 0xbdb008c6, 0x81e980a2, 0x637e9720, 0x0d056d94, 0x6957ee05, 0x80402932,
+    0xc7a2a77e, 0x23752c66, 0xf359e774, 0xb1ed651a, 0x01a540fd, 0x0165a22f, 0x9718bb02, 0x77f33aac,
+    0xc3fa9404, 0xcb6d5329, 0x8a1938a1, 0x51bdd1ce, 0xc923d0db, 0xeb254c99, 0x2a487be2, 0x4cc0f32f,
+    0xf48395d6, 0x668dd546, 0xa40f3540, 0xe28526fa, 0x07067ae2, 0xa5ac7636, 0xf6640df2, 0x7fcadb03,
+    0xd51daef8, 0x55654cc1, 0xd8958c22, 0x2c28aa35, 0x08f343c1, 0xf3d68205, 0x697f98a4, 0xbfe5474e,
+    0x3d5db28c, 0x26f4e7b6, 0xc8b9c002, 0x65688a4b, 0x14106a79, 0xbf1fc341, 0x37aac21a, 0x3f5c4ddb,
+    0x2efad046, 0x8c35ef69, 0x23de9614, 0x9a8feed2, 0x7044e410, 0xf616482a, 0x9fb5fb72, 0x8629557c,
+    0x8483c938, 0x28d4b169, 0x707ec330, 0x743749f4, 0x19734cd7, 0x1762167c, 0xbd7feffe, 0x6efa237f,
+    0xd8df9c66, 0x2d9e3693, 0x797f4976, 0x5aabbf35, 0x7d1b7404, 0x7f579f76, 0xc60f2c51, 0x71f1f4b5,
+    0x59d1778c, 0xf38f6a38, 0xecd437c5, 0x75c1c19d, 0xee0abd87, 0x8f327748, 0x7b4a913e, 0x1bc018d6,
+    0xbc9f6806, 0xcae87003, 0xe122c92a, 0x2239d655, 0xa828203e, 0x7d1cf6e9, 0x37cb253b, 0x966c54ef,
+    0xc79274fc, 0x1e42977f, 0x367bc6c1, 0x6a15be66, 0x42056223, 0x905f9230, 0x5ba23249, 0x43f6db84,
+    0xe40a3cc6, 0x96161dc5, 0x30ccfbf4, 0x998f65b2, 0x7782c793, 0x39cfbe1d, 0xc93e7a1b, 0xae688bfd,
+    0x3edc1dbe, 0x69d57914, 0xff6c4005, 0x1b2f43c4, 0xfb0ca301, 0x2fc2e45c, 0xc8711260, 0xede5b235,
+    0x69f04165, 0x15c16243, 0x0af82c7f, 0xc04a6060, 0xcc94ec53, 0x4de6721e, 0xf2eec2f5, 0x389fd40b,
+    0x704bdecd, 0x3cc6a654, 0xf1ac0f2f, 0xe2ab9b25, 0x03c370ba, 0x3086c075, 0xca667476, 0x6213774e,
+    0x403a144c, 0x559b81b7, 0x72a4009a, 0x767458d8, 0x133e961f, 0xf4c610b2, 0x0b5509f6, 0x70c0bfeb,
+    0xcf6bf248, 0x9986e996, 0x4707aa99, 0xbba91f30, 0x68335bd8, 0x0c987454, 0x0a815993, 0x802f8ae8,
+    0x9c90c1cf, 0x14401c56, 0xc0b02ede, 0xa45805a0, 0xcbfea018, 0x40e65660, 0xec478c10, 0x725865c9,
+    0x38d2bc0f, 0x3ffabed3, 0x0dc121e1, 0xce4e13ce, 0x860f8f44, 0xe5ea7c2c, 0xf5296de8, 0xcc84df8c,
+    0xa1d6f014, 0x1b6f995a, 0xb8208c0f, 0x85be4d32, 0x087e6953, 0xdad1116b, 0x08bef19d, 0xf7a50aeb,
+    0xe272c4a3, 0x1213dc05, 0x79075284, 0x95843988, 0x593b00f8, 0x9edd12aa, 0xd8b5c745, 0x9c9df483,
+    0x6590546b, 0xdc2cc839, 0x4973d695, 0x6f9b83e4, 0xaef4653e, 0xac10630e, 0xaa67def4, 0xa5e3b32a,
+    0x4619fe35, 0xdddc8921, 0xa830abfc, 0x27409224, 0x33f1b9f3, 0xe6230e73, 0x92205ded, 0x5cbac983,
+    0x71f16724, 0x3143f0de, 0x78497b9c, 0x0c576c8b, 0xdcb9014f, 0xc3f51e14, 0x81a51402, 0x5abd0ad0,
+    0xee1026e3, 0x5c561efe, 0xa3f65a96, 0x140a1039, 0x99bfbfd1, 0xba100331, 0xaac86e5a, 0xb115b8c0,
+    0xa1ca80fd, 0xe2fec833, 0x924cdb25, 0x13e60a1b, 0x7f93cfaf, 0x5c69f9e2, 0xe6acf748, 0x8fb38728,
+    0x667439b8, 0x9ed1b0aa, 0xd0498708, 0x818149aa, 0xea872d04, 0x24d676a0, 0x1a3ffaf2, 0xed71d3f4,
+    0xf4e606d0, 0x72df53ce, 0xa5fa0960, 0x6f7984fe, 0x4284ebd8, 0x5cffdcd4, 0xa746d88b, 0x5d13a226,
+    0x29bf8e28, 0xe50d487c, 0xcd168806, 0x0514314a, 0x8d937d83, 0x31981931, 0x256fea80, 0x6d054161,
+    0x0084db34, 0xa523e4a9, 0x48fedb50, 0x539ab3fc, 0x92445ebf, 0x0b23f991, 0x6550a86e, 0x02de55d8,
+    0x80db1065, 0x3a63fe0d, 0x7b5f217f, 0xdb48a268, 0xd748a4db, 0xa0662b3f, 0x24d189c3, 0xaf8ab959,
+    0xbcdb6ee0, 0x348ecb86, 0x1b3b202c, 0xd824ce46, 0xe390b24c, 0x53e73cd5, 0xd96b9f27, 0x039a6eeb,
+    0x18a5794e, 0x5f0f1add, 0x849afd3f, 0x0f50e127, 0x513f4d75, 0x469e7bf3, 0x43c6e638, 0x6a5d5532,
+    0x0d9e65ed, 0xd87f8fc9, 0x83ba9117, 0x556e42de, 0x5dc11dfd, 0xbc3d7725, 0x2c971b4b, 0xca4f4000,
+    0x0aeeda22, 0xaae479e3, 0xe3dfd35f, 0x5f20ea49, 0x65f0674e, 0x5bf6109f, 0xc85833d5, 0xfe09d133,
+    0x33c042cd, 0xc1b6b4ea, 0x6678f7fa, 0x2e23740e, 0x7b3e1434, 0xe7e8034f, 0xbdf7aa20, 0xc1dab283,
+    0x7c34c629, 0xa3fd68db, 0xbf7f5629, 0xa8674834, 0xda7f5b7b, 0xe6f41a10, 0xd5d7c9fd, 0xa29daf3f,
+    0x6ac95af5, 0x099aa2c4, 0x3c35151a, 0xba86489d, 0xe26eacc9, 0x703293eb, 0x2fca787e, 0x7fa50d6a,
+    0xfe794d2f, 0xf3c956af, 0xaf8c6a73, 0x3695531f, 0x5be8ab27, 0xabaf21db, 0x2ff14853, 0xe240e496,
+    0xb67118e2, 0x6d4c1ddd, 0x7138d790, 0x5fe5981a, 0xb49273ea, 0xc059393f, 0x6b4f247e, 0xddb051ab,
+    0x2d005737, 0x7ed4fd0a, 0x75a54b00, 0x8862d72b, 0x373bb472, 0x1370a88d, 0x23810316, 0xd6278c2c,
+    0x65b7dacf, 0x28c914ad, 0xef36839a, 0xaa08243d, 0xe425752b, 0x16a6a207, 0xcb9a2414, 0x385f00f1,
+    0xe3198703, 0xa0b94586, 0xc4df11d4, 0xbb88d6a1, 0xe5f4303a, 0x4ba149b8, 0x250c55ac, 0xb339e1e9,
+    0x0422ea9b, 0xa1d2e24e, 0x783bca59, 0xf2b6452b, 0x681eae65, 0xd7c76d58, 0x87b76e54, 0x90ea0902,
+    0x64ddb625, 0x4d35984d, 0xf78d733c, 0x4387175f, 0xd6ef106e, 0x1d4301d2, 0x756bf49a, 0x5258f85e,
+    0x3251842a, 0x408a0e9a, 0xffdd5034, 0x25033f5a, 0xb7b45173, 0x3bd178b2, 0xe3e0bab1, 0xd874e889,
+    0x31ebde08, 0x8bd65320, 0x7354e005, 0x9ca22e13, 0xcba98561, 0x5d7a282e, 0x296bab40, 0x3fb0fe6f,
+    0x89d77030, 0x6309995f, 0x38a70ce1, 0x5d9efd25, 0x34290980, 0x78e28708, 0x72bc4e9f, 0x7df9900a,
+    0x6f7befa2, 0xc01f807b, 0xd6446fed, 0xfa5ebdd4, 0x61998a81, 0x812985c9, 0x1e72bbb5, 0x1210d151,
+    0x8671ec9d, 0x0f1c6bcb, 0x745ad886, 0x9040d6ec, 0x055be9d9, 0xf6c6f34f, 0xbe1464d8, 0x6b09e423,
+    0x655e5e81, 0xb1ac4d8c, 0x612b480f, 0x464b443a, 0x7cb81299, 0x2848aede, 0x95869dc2, 0x1cffabcf,
+    0x31125af9, 0xdc62a521, 0x4a2cf98b, 0xd4a5db46, 0x1f74ea58, 0x866ba005, 0x4bd92e7f, 0x884fb512,
+    0x00000000,
+    0x8db56403, 0xbd9d6a74, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000053919893334301279589334030174039261347274288845081144962207220498432 */
+  { 0x00000000,
+    0xdde2378c, 0x87114f0a, 0xfa6d33e0, 0x832ea642, 0x6631ed3a, 0xa00f705a, 0x8e0e546d, 0x22ac6ed0,
+    0xefe3f400, 0x0e2efc9d, 0xa4c9f55e, 0x283d3a80, 0xfa4e8183, 0xbc333c8e, 0x12e4c93e, 0x84815d77,
+    0xdad9a44b, 0x58056136, 0x9df66413, 0x4c7996cd, 0x6a37a6d6, 0x5554573c, 0x44b1d17b, 0x35493026,
+    0xe05b4c4a, 0x29cca423, 0xd7e81042, 0x6c49fbe8, 0x789dc66f, 0x260c5a69, 0x61ced0b0, 0xb6ed5537,
+    0x78827d1b, 0x27358cbc, 0x6fabf3b1, 0x78b94e9e, 0x433a40b2, 0x57f0472e, 0x170fae65, 0xab37b842,
+    0x9f1fe440, 0xb2235080, 0x8362f19c, 0xee4f2963, 0x054d0fc4, 0x7ec3cf2d, 0xd56f093d, 0x2c7f5868,
+    0xdcdf5330, 0x4414aed8, 0x78f56d70, 0xfb02ecab, 0x883d911a, 0xcf8c594b, 0x825c221e, 0xb9928fec,
+    0x6108cc52, 0xd51cc71b, 0xb99b6bf2, 0x3c3615bb, 0x09738a9b, 0x323ebd21, 0x23aa4578, 0x50d69c8a,
+    0x575bebf9, 0x2564db3e, 0xe0d6bf11, 0x809b5340, 0x41bfa2e5, 0x8aa7fcdd, 0xf71d2109, 0x3cb95799,
+    0x06c0ad09, 0x4719edfd, 0x6b341c74, 0xda05cbfc, 0x795857e3, 0x2632f63f, 0x8d0e15f9, 0x27c7b2e0,
+    0xba2ca098, 0x31ad05ed, 0x8231f3f9, 0x2b43f27c, 0x71662852, 0xf01180c3, 0xbd7b9f1f, 0xdcca3399,
+    0xf1e5c53b, 0x38d47c63, 0x76baaf6b, 0xfe1d64a4, 0x3fcb6e32, 0x9d9b0336, 0x2bc531c7, 0xb17ffb79,
+    0x9a8e582f, 0x79cf3213, 0xb870621e, 0x30af030d, 0xea1e29fc, 0xa7fe02b3, 0xee265cf6, 0xc64e58ec,
+    0xade8df6c, 0xeb3f7201, 0xb28ccc65, 0x766b7e1d, 0x313b1c0e, 0x508928f2, 0x654e7dcf, 0x3acb6b94,
+    0xaf5b8085, 0x1cbc4fd3, 0xfea0ae8b, 0x43f67ffd, 0xf85fdad7, 0x0ab62260, 0x78aa83d7, 0x7c4992d1,
+    0x7e2a7c36, 0xeb0738e6, 0x788cc08d, 0x2c86c212, 0xa57e5f16, 0x9298987f, 0x67ae9677, 0x5c9ebd5e,
+    0xb269ac63, 0xd5bdfbc4, 0x4c032972, 0x51999aca, 0x4fe09814, 0x0aa2f11b, 0x5da39783, 0x641d13a0,
+    0xdfdccba4, 0x5b87a515, 0x611a2f3f, 0xeb4dfe61, 0x6cc6cc1f, 0x1ab0ab70, 0xd41aacc4, 0xea0b99ae,
+    0xaaeb6cf7, 0x0fb37d1d, 0xe734fbfa, 0x2b8a14c7, 0xa8dc6d4d, 0xa446de3d, 0x50363e03, 0x2408bb7d,
+    0x1de95db2, 0xc8cacea2, 0xecfdc8ca, 0x84ebf6f3, 0x30fcfea0, 0x1739c00f, 0x89c94729, 0x9c44667a,
+    0xcb67d5be, 0xfdc763d0, 0xaa3f5733, 0x3a4169b5, 0x1d21dd8a, 0x50e21b31, 0xb17ceca5, 0x83402fce,
+    0x06feee8d, 0x4bf1426f, 0x314302b8, 0xb3e75bcd, 0x019ff876, 0x2ab027c7, 0x4f849017, 0x4887b563,
+    0x9b7bb234, 0x900380c7, 0xc5cdfb78, 0xfdb25c6d, 0xe277a0f0, 0x55d46dec, 0xa826328e, 0xe3e85f4a,
+    0x13799661, 0x340611bb, 0x63744838, 0x86a953aa, 0x409235be, 0xacfb0667, 0x514e0016, 0x96a2abd0,
+    0x29ae93de, 0x20667cae, 0xd0cdfb5b, 0x1325a32b, 0xec25445d, 0x30060a47, 0x4820bb12, 0x8a22df75,
+    0xce8fe2d8, 0x12588730, 0xf2b3b9ba, 0xc0477965, 0xc3666396, 0xdab80659, 0x12b99253, 0x97ba7af3,
+    0x581d596a, 0x4cc7cc88, 0x24f3e60e, 0xfc297eaf, 0xb6c55fc9, 0x46c8d2f5, 0x1dfca922, 0xaefb5d25,
+    0xa19c269e, 0x91647096, 0x683cfdf8, 0x01bcd7e5, 0xccff05d3, 0x3e5f0c49, 0x50633975, 0xa068aa86,
+    0x37f1c912, 0x0a59f238, 0xef36be5b, 0xe227d1ff, 0x29b19ebc, 0x608a2401, 0xb16fa98c, 0xa2b59c03,
+    0x8e29b99a, 0x0c6c6ff5, 0xb46ca389, 0x3b963046, 0x5a9a42fa, 0x2c7d195e, 0x5f83c102, 0x7e5a7baa,
+    0x1da23a57, 0x96418777, 0x89d90a5b, 0x39734162, 0xdb4907e4, 0x56e91f59, 0x859b0f80, 0x66369b7d,
+    0xbbfbdff4, 0x61892df3, 0x47b686e2, 0x710cfb56, 0x26c1710a, 0xc5f8847d, 0xf4e0f5bb, 0x2e7559e0,
+    0x37534cd6, 0xbc962c81, 0x1cd1d69c, 0x3039117a, 0xdbb9bb92, 0xb140e105, 0xeee00dce, 0x4cbbb21d,
+    0xcf36cdad, 0x1d3d391c, 0xe65b8063, 0xda1bc0aa, 0x11ca0cfe, 0x543bfb47, 0xfb32c178, 0xa737fb51,
+    0xad9c8df7, 0x5683a4e0, 0xe1f1bdab, 0xf9cf0a33, 0x36ae4a1e, 0x8ac50340, 0x185b56ab, 0x86e6458e,
+    0x502b0b14, 0xabf011cd, 0x4d73fb9b, 0xe8da09f0, 0x675899c1, 0x7b396a18, 0xd1e1dd31, 0xa4490a54,
+    0x7f589383, 0x2b0e042f, 0x5d81d501, 0xeba8bcad, 0x157b961e, 0x06c16624, 0x57ae3692, 0x084f70a2,
+    0x7053aab2, 0xeebf027a, 0x7d0b83be, 0x75407f07, 0x7a57c2e2, 0xd58bf946, 0xca638e6c, 0x362ab0b9,
+    0x3d9e9431, 0x4f91685e, 0xf84cd655, 0x4baa5552, 0x9415e20b, 0xe4abd2c4, 0x3ee79f23, 0xc81cdad7,
+    0x84eea071, 0xd0658357, 0x5210b826, 0x0cf64d12, 0x10584de8, 0x421c6988, 0x05773779, 0x19c92258,
+    0x87029bb0, 0xf0ff87f7, 0xde213d21, 0xf1cebf9b, 0x4c0243b7, 0x73dd7674, 0x4d8cd7b1, 0x531a2838,
+    0x30f7bd8a, 0x853559ed, 0x523c10cc, 0x836c62e4, 0xb8d9b297, 0x0927d3cc, 0x630c5682, 0xc3b4dd9e,
+    0xf44e1c00, 0xfe20178b, 0xa6087e9b, 0x7219843b, 0x5898f47b, 0x406799df, 0x7dc4069b, 0x00363710,
+    0xbcf99820, 0x372301cc, 0xf77d6d49, 0xad5e1e4d, 0xb9eff9cc, 0x37deef42, 0xd82de42a, 0xa3eaa27c,
+    0xd179c150, 0x6ff7d8c5, 0x1c6f6995, 0xb18082c7, 0xdc1e73fe, 0x3355ffd0, 0x822c95fa, 0x60bbe74d,
+    0x0933ee36, 0xd50b5c1e, 0xd7da356b, 0xf8975644, 0x430ac0c1, 0xb472f9a2, 0x4640ed53, 0xf0b6259b,
+    0x3941d31c, 0x01c8f238, 0xcba6c5f8, 0x643ed9f7, 0xda1973c5, 0x9278e784, 0x13d6f2cb, 0x68d28611,
+    0x97d971d2, 0x7d8fbc57, 0xdfb069eb, 0x9f0125c6, 0xb59fd582, 0x69575f04, 0xd1fd821f, 0x74a1d970,
+    0x634ee862, 0x7ca784d9, 0x41de801c, 0x429fd587, 0xbf2ce1e8, 0x00811d4f, 0x2f5f7d27, 0xc7ab98cb,
+    0x8d525ef1, 0x5dfafa1a, 0x20e7b235, 0x0ec62f3b, 0xbd2591c4, 0x51624fc4, 0x16cf71db, 0xf948cbc0,
+    0x0169d9b7, 0x72edc295, 0x4b5913e4, 0xa4adc665, 0xcbe7e979, 0x4c28d9ae, 0x6ad6d228, 0x6f898eb2,
+    0x755ead85, 0x8834cddc, 0xe6a3b830, 0x41b8bc96, 0xdbf37cdb, 0x5e1abe88, 0x5c3c512f, 0x222726af,
+    0x1932c561, 0x346ae7d6, 0x9171d9a6, 0x1e9c7285, 0xe5c52dea, 0xf3f01b7f, 0x61ae6084, 0x049fbf7e,
+    0xac3d308e, 0x4b7e49a8, 0x511feedf, 0x74f3f919, 0xc46b3325, 0xd4991cad, 0x23fc24aa, 0x531b8b00,
+    0x9b7132f2, 0x8c662c91, 0xb8d5b6dd, 0x26bda545, 0x526176dd, 0xfec1e31f, 0x2e1c919d, 0xb5b22154,
+    0xec47bbdf, 0x2da49a58, 0x42177d61, 0x9c1586ee, 0x5cff37a9, 0xcf115cd0, 0x1473e1d6, 0x522b30cc,
+    0x9f6a4e6d, 0xfc668fed, 0xbf4e3314, 0x6039b3a7, 0x6680284b, 0x6cbbae46, 0xeb2cf656, 0x73611252,
+    0x0cf2462a, 0xaff8168e, 0x954cd997, 0xb3683721, 0x187bc4e1, 0xd71754af, 0xb26b95f3, 0xbffe30e5,
+    0xa2dcb098, 0x563d8388, 0x2314005a, 0xd78b2dc8, 0x5e4cd308, 0x3a05a381, 0x38a48c74, 0xd2d0d7fd,
+    0xb6f6a261, 0x4c448c13, 0x2051ec6a, 0xac599dff, 0x0a24ce5c, 0x0d1250f0, 0x68dc1fa2, 0x638c2d04,
+    0x49699c1e, 0x0b66a90c, 0xe60bd48e, 0x2bc44007, 0xa1e1e718, 0xe2c50657, 0xc226c059, 0x2971f565,
+    0x89de75e4, 0x1fedbdef, 0x5c8ef539, 0x8889df5c, 0xd3100304, 0x3ab54146, 0x2cc763df, 0x1da43f7a,
+    0x86c1fc18, 0x1cbc23e4, 0x6f07f207, 0x91cc5275, 0xc11e1bd4, 0x27038ceb, 0x5f41452e, 0x8812f637,
+    0xff80cc14, 0x81fde05d, 0x0b61e2ad, 0x26c86a3d, 0xe008b840, 0xb795d1ee, 0x54eb4614, 0x432e4fa4,
+    0xde6a937a, 0x6056e4a4, 0x201591ef, 0x698a9300, 0x2287e361, 0x5b1ab4d3, 0x0f2935b0, 0x664f96fe,
+    0x7d0553bb, 0x9e887dcf, 0xf9f18691, 0x7b11ee08, 0xdda36aca, 0x437c42a9, 0xc2310afd, 0x93b4c33d,
+    0x81c26ef1, 0xd2ad6b79, 0xbe1824e3, 0x90be38ae, 0xf70822e0, 0x38f1e3a8, 0x7222e110, 0x2035bcd3,
+    0x5e68fe25, 0x500c662e, 0xa2baaf16, 0xf4d3d16e, 0x65da0ba5, 0xaaf4dae9, 0x24b6cb26, 0x34463c84,
+    0x51c68d10, 0x78aea231, 0xb3e29b90, 0xaf35e2df, 0xc7a823fe, 0x9962565e, 0x5f65ae0d, 0x482172ea,
+    0x5e5da7d8, 0xd7db8e8d, 0xb860f8c9, 0x42851124, 0xe21f000d, 0xee6d1607, 0x6f73616f, 0xa1320679,
+    0xb765490d, 0xe7f6648c, 0x93746a2f, 0x024d7b48, 0x8fc139e6, 0x21aefe61, 0x6b670277, 0x72953826,
+    0x2e4f58de, 0x26161402, 0x16158047, 0x878726f2, 0x75e04666, 0x0d9edc7c, 0x8eb6f8b5, 0x7729cca3,
+    0xc5712935, 0x6db65b2c, 0xb8031ccc, 0x770dbebb, 0x0fe46c37, 0x1cff27d3, 0x2e1731d5, 0xbb7404f9,
+    0x6a35ab47, 0x562c5189, 0xa5f50460, 0xf7d5abfe, 0xc277e05c, 0xda4a7a07, 0x5f3f89ae, 0x1722ce7c,
+    0x8340cc64, 0x7ecf656c, 0xe44d9613, 0x34307f2a, 0x3f7217ff, 0x52ba66c6, 0x79d0318f, 0x109a77c3,
+    0x6be878b5, 0x8b6d3950, 0x18fde729, 0xf4ebc001, 0xc48900d2, 0xdb5ad4e9, 0x6c3f666c, 0xa57253b3,
+    0x0a4b28dd, 0x1bdc3a1a, 0x4be89937, 0xd54570a1, 0xdb654cac, 0x40279db9, 0x9fb7a791, 0x068a4dcf,
+    0x2d304813, 0x905f91c2, 0x9c237676, 0x7133851d, 0x852a6f29, 0xc8f443c9, 0xaca8bda1, 0x62c53a7b,
+    0x64d6b393, 0xb9430cb6, 0x5d5830cf, 0x109b5e7a, 0x69335ebd, 0x91e1ae2f, 0x628d9a38, 0x73e2d681,
+    0xf90e92d1, 0x1b527cdd, 0x099f4047, 0x8dfd87e1, 0x67a1a08c, 0xc74ab796, 0x5c2d28b6, 0x2ceeaab5,
+    0x1b881127, 0x81540cfb, 0xe624cdfe, 0x41afb863, 0x668caf06, 0x958a22c5, 0x86ebba9c, 0x26c5f05e,
+    0xa0647fb3, 0x4f552ee3, 0x2d5e31e9, 0x85e398b5, 0x8d04fb24, 0x4aa9fc86, 0x5a26dd71, 0x428c5796,
+    0xfed3e394, 0x3ce6dce2, 0x05d7736b, 0x841f6fde, 0xc1ba0410, 0x79e796bb, 0x5827fe53, 0xcc1f76a6,
+    0xe0415960, 0x318203bc, 0x44371e6e, 0x55565218, 0x04054ef0, 0x700e5047, 0xbfe1743e, 0x963e4daf,
+    0x669491f4, 0x7a910e92, 0xabe90610, 0x213571d4, 0xf1731951, 0x37a3f7a1, 0x5dbc25df, 0x0108dea0,
+    0xb2b3d432, 0xe914be02, 0x2bfff94d, 0xa572329e, 0x2696ecd2, 0xc0457e4a, 0xbbd50319, 0x242bfa51,
+    0xd345503b, 0xa3f98a21, 0xf2974e44, 0x382ac351, 0x5a693c13, 0x8da0b5f2, 0x64ae4518, 0x3f62bcca,
+    0x00183509, 0x9d901af5, 0x420bf525, 0xd4a2dc44, 0x79338164, 0x6f4f512c, 0x0d74308c, 0x25420374,
+    0x7ece8c23, 0x73227c59, 0xed3ddf12, 0x8bbc86f7, 0x7b881102, 0x6b7ed933, 0xc140af4e, 0xef9e93a0,
+    0x04606646, 0x1dcbe135, 0xe11ec1ce, 0xfa0e6324, 0xa251e4fb, 0x3b46bdd6, 0x2eec1dd7, 0xf47d0702,
+    0x3770ae0c, 0x23a7ed70, 0xa407c475, 0x3e2d5041, 0xcd18639b, 0xf4da8001, 0xc30581b3, 0x9e39c45c,
+    0x02c83499, 0x1062f2ba, 0xbed20bc8, 0x26e51fe3, 0xd97ddf43, 0xac8d5730, 0x47cb4df3, 0xbe3b8105,
+    0xa11fc33d, 0xe224414d, 0x26a2aa2a, 0x84675b10, 0xd2487cb8, 0x9128f61b, 0x7a02d811, 0x7b3769a0,
+    0x857bcfbb, 0x3b51a056, 0xf06a02ed, 0xad8d9cfd, 0xf50e9e90, 0x8cc4900a, 0x88b6c86f, 0x3a5623bb,
+    0xd4151cb4, 0xa549eea3, 0xd4e43741, 0xeacd63ed, 0xfa9c1b5b, 0xd09f4fce, 0xa54def55, 0x5cdaaebc,
+    0xd2d4c5b7, 0xbc3c8a82, 0x0717a0dc, 0x08394e9a, 0xf14cd623, 0x3e87e76b, 0x1bd70805, 0xc4c5f87c,
+    0xa226828f, 0x35e709fd, 0xfa2cd228, 0x9a3693c4, 0x2e59e4e8, 0xe52b2a29, 0x20dd162b, 0x982c7437,
+    0xa46ccbbb, 0x7e9176c7, 0x73667e0a, 0xdbf05fe5, 0x0bc54224, 0xad4a51ee, 0x820fab55, 0xb296360a,
+    0x1bf09697, 0xeac7a555, 0x228f0c76, 0x5a0cfae6, 0xc72c200b, 0x760c4d34, 0xf1a8f62f, 0x307913a8,
+    0xc33d7e47, 0x046b4e04, 0x3ab7f3fb, 0xe9dfa613, 0x5103f36a, 0xa6102909, 0xfa5dfd2b, 0xa01a8d19,
+    0x40d6356b, 0x3aa1b4cf, 0xbf6b4f9c, 0x7cd77021, 0x6ea98e71, 0x44eae90c, 0x5a72e0d1, 0x1c6e8b69,
+    0x7c2887f5, 0xa3bb0d36, 0xb2879370, 0x20c4329f, 0x12335cc0, 0xea678f82, 0x5fd6c7bf, 0x08babc79,
+    0x648cef4a, 0xdba1e5d5, 0xf1a9adc4, 0x864e3b94, 0xabcaa864, 0x63ff8919, 0xb9d71c80, 0x94c3e01c,
+    0xb4d7ee88, 0x626b1061, 0xde7c986c, 0x72503d1a, 0x6fa1fe06, 0x96e13186, 0xbaabfc84, 0x5c2b5f1f,
+    0x7c470d2e, 0x4afef86b, 0xb98e88c2, 0x4533643c, 0xa049fc15, 0x51b492cd, 0x6f22c3dc, 0x7edafa00,
+    0x01802fe6, 0x612712c2, 0x8e5bbed8, 0x749807e6, 0x38110e04, 0x7582a9e8, 0x8a4cd4a3, 0x065f545f,
+    0x5d033e3d, 0x6de2491d, 0xbc4b1c16, 0x0e7a71ee, 0x98579ee7, 0x40a5373f, 0x7439ee5f, 0x1154396d,
+    0xed9de3f3, 0xa7ff82b0, 0x1cb0a39e, 0x958c8a30, 0x8dcfeea0, 0xb9085421, 0xa159be4b, 0x3045f6e8,
+    0xcc789ad4, 0x565f2938, 0x4270bace, 0x1899c54c, 0xb47b11ad, 0x2841732f, 0x3f4e15df, 0x73e02b7d,
+    0x61f66376, 0x83b28c49, 0xdbd061b9, 0xb03e15d3, 0x1a690ce7, 0x5647ca28, 0xdc7caa58, 0x98051582,
+    0xedb33af2, 0x005777a5, 0xaa7eefab, 0xeb1fd1af, 0x9b5fd7a8, 0xf9de6c97, 0xe2136759, 0x6e073ae0,
+    0x344f4417, 0x8760ff66, 0x680ad63c, 0x50b4e5d1, 0x704ec411, 0x4118fd7e, 0xe51d9ea9, 0x6b0434d5,
+    0xa40a524a, 0x92984a44, 0x15ed3843, 0x4f572f16, 0xaf32aa02, 0x4ebc7631, 0xa60a6bd8, 0xfa5d05b3,
+    0x6270dc72, 0xd7402777, 0x5b6c83b9, 0x4c0d0ef6, 0x74759329, 0x7b0cfac1, 0x4e6232f1, 0x8a9251c0,
+    0x714de17b, 0xf312050e, 0x149f60e5, 0xd5a12107, 0xd6751056, 0x3d8105f5, 0x7f12f064, 0x666e94b7,
+    0x7b3f8c62, 0xe09342cf, 0x387af729, 0xd56ce076, 0xd7c5a2f8, 0x8744d193, 0xc38ddf4d, 0x1763d0fe,
+    0x2c45a467, 0xd06074c8, 0x14895be7, 0xbff01c96, 0x7db0ce27, 0x8e4c862c, 0x7524fa80, 0x5946c1f8,
+    0xacfc9c07, 0x7ea55fed, 0xe36bdac6, 0xbd3011bb, 0x782bfd5b, 0xcbfa3376, 0x1dc4394f, 0x3c9f7c51,
+    0x7d8eeebe, 0xe57861f4, 0x7e0a154e, 0x42cd4cd7, 0x96871f8e, 0x82e8124f, 0xab48cff3, 0x7ec8b1da,
+    0x7176d20c, 0xd185e6d7, 0xf94f27b3, 0x61863409, 0x0297bf44, 0x661118cf, 0xc8bb4a21, 0xcebd056f,
+    0x878fbb5d, 0x430a870f, 0x64494095, 0x8e12eb73, 0xcd023243, 0x5f3c10b8, 0x07a2de13, 0x77e43ed5,
+    0xc2118403, 0x677e8fc1, 0x87f032b6, 0x92de9281, 0x39b18bf6, 0x93821838, 0xed99f4ab, 0xf0c67b48,
+    0xaf4f4da8, 0xfaa1589b, 0xf621e253, 0x5ddd5a8e, 0xc0545ab6, 0xb6cd7db3, 0x28fb372d, 0x4a665de4,
+    0x47ec022e, 0x745c1cae, 0xb8a6fe25, 0x6692538d, 0x27337a8c, 0xafa0cc4c, 0xc6202e6b, 0x98cde795,
+    0x64c9068c, 0x293edeba, 0xb950d304, 0x1812d553, 0xeff90b07, 0xff256d4f, 0x4157f19e, 0x015f9a19,
+    0x43130f51, 0x32b9a726, 0x57e48375, 0xf84b818f, 0xf3bdc327, 0xaf16e2f3, 0xc492b489, 0x84171f76,
+    0x00000000,
+    0x46dab201, 0xdeceb53a, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000026959946667150639794667015087019630673637144422540572481103610249216 */
+  { 0x00000000,
+    0x65723696, 0xc9252dbe, 0xd467aee6, 0xb9c2a79b, 0x8018021d, 0xc1f914ba, 0x60b33ccf, 0x4662648b,
+    0xf78a25a7, 0x67484c51, 0x433ed325, 0xf038961b, 0x19c4f0fd, 0x0be5626d, 0xa650d330, 0x689bcc76,
+    0x3a7043f8, 0xdf4a85fc, 0x6ecc3d7c, 0xb3a11ee2, 0xfd50e339, 0x74469cd4, 0x9371e9d1, 0x306d3f8c,
+    0xa0800498, 0x00f8facf, 0x2d35f7d0, 0x1a56c1fe, 0xb6e07152, 0x386a50e1, 0x7adb914c, 0xe4d4b608,
+    0xac518720, 0x3060466f, 0x5c9f062c, 0xddb823fa, 0xea7df2fd, 0xac30a649, 0x06cc8a89, 0x8bbf6df5,
+    0xda4facf2, 0x0c72dc88, 0x6df86242, 0x3b541947, 0xdcb38f34, 0x40731e77, 0x5904cf87, 0x3f25f6fe,
+    0xcc189b9b, 0x31b9db1f, 0x0cb10acd, 0xac0cac67, 0xc487dd51, 0xdaab3fc9, 0x55699c2a, 0x847cf6f3,
+    0xf990586c, 0xf96d4044, 0xcfe5a185, 0xc774b4eb, 0x9126d8dc, 0x9eeb75fd, 0x4480d74c, 0x2f92dd76,
+    0x7d9875ba, 0xb1d1ec2d, 0x01206e32, 0x7951bfbd, 0xaa13758c, 0xf6e9d048, 0x55184f6c, 0x272e0b02,
+    0x2fe62578, 0x96d6ea85, 0x3f0fdd6e, 0xb62d2a12, 0x2c90b45a, 0xb5e627c6, 0xd059e74f, 0xcc74bd4e,
+    0x5358b907, 0x67f49dcb, 0x6fe97134, 0x9e08f25b, 0xd8617f79, 0x7448a1ba, 0x6c4b8ac4, 0xf0174f36,
+    0xb070a437, 0xc18eb527, 0xc4e73fb0, 0xb13a7c42, 0xedf9a2e3, 0x65ea6657, 0xd248de3d, 0x95bd616c,
+    0xa54b078b, 0x11994ae1, 0x111780b9, 0x91d6de4c, 0x33210132, 0x7058807b, 0x8e9b4e83, 0x86e42e75,
+    0xc1b4479e, 0x8d7e99f8, 0x503681a9, 0xd74fec68, 0x5c0ba3e8, 0x8c579c9d, 0xb7f31a5e, 0x79cf9206,
+    0x5f480e44, 0xda95a6e9, 0x3932f7f5, 0x464977cb, 0x63e771df, 0x90bb2e49, 0xc0d18d45, 0x9ac5d9e0,
+    0x9c524737, 0xa9f75297, 0x67821cad, 0x4c864fc3, 0x1e745495, 0xc6d9e414, 0x844a7bc9, 0x09e4ea62,
+    0x2f4bbf8b, 0x655c5154, 0xdaa72bbf, 0xa879f70c, 0xd800142f, 0xfcf7c56b, 0x9b61939a, 0xda2cc10d,
+    0xeff9aa3c, 0x06d8217f, 0x344f98ae, 0xa9e4bed6, 0xc9af145e, 0x8fe4252f, 0x13963dde, 0x56f53b38,
+    0x1588049b, 0x77a516de, 0x393914d7, 0xbcfae06c, 0xc735700f, 0xc2e74729, 0xbbda02f0, 0xb734e37f,
+    0x493e3358, 0xc45b0a60, 0xf5017648, 0x9d6fc5dd, 0xa24a0f1c, 0xd520d685, 0xa73fcd21, 0x009e06cf,
+    0xba606539, 0xdcd43840, 0xc8c3080a, 0x160b57c6, 0xd11bbce1, 0xe16d5ee4, 0xfa1420dd, 0xb76b0eba,
+    0x02261d65, 0xc21c86df, 0x7906951b, 0x04303177, 0xb7dfd94a, 0x65209bbf, 0x26629076, 0xdf5ca516,
+    0x571ce76d, 0x5dd75e3b, 0x519bfb57, 0xfcf065fe, 0xee5d3c55, 0x76ff5c73, 0xe0311478, 0xac5d6268,
+    0xcf7508a4, 0x8e484757, 0x8ab6a197, 0x82a2d381, 0xcd514d56, 0x82c111ba, 0x07a62ef1, 0x7eb6363b,
+    0x0a466318, 0xd7591640, 0x212f515a, 0x963a4aa9, 0x1dbf6d1c, 0xaca7435a, 0xc19b9e88, 0x0a16f053,
+    0x5b4d683f, 0x2311478b, 0x34f85376, 0x8294fad4, 0x2f4b2b46, 0x09c7f7c6, 0x36edf0b2, 0x1150f344,
+    0xa015081e, 0xa00f7727, 0xefe95495, 0x9d8597b2, 0x76c15ded, 0xf4a31d0f, 0x72eab57b, 0x3ed040f4,
+    0x232e6670, 0xf83b0178, 0xcc8839d2, 0xd3d54637, 0x846f19e1, 0xb069d351, 0xa4bbb578, 0xfe67ec30,
+    0x15b3a2e9, 0xffe33ec4, 0xcf03d73a, 0x13a51493, 0x74c9528f, 0x29508a5f, 0xcfc366a1, 0x0e94c4dd,
+    0x01503ff0, 0x45a9724d, 0x623600c3, 0x9c2bc5a8, 0xb45689e6, 0xbd7da876, 0xc8470afe, 0xde6bd705,
+    0xef932e11, 0xa877ab66, 0x243730ea, 0xbf23610a, 0x77da8367, 0x1cf07d1f, 0xf63de500, 0xfc93faaa,
+    0xd5879eb6, 0x4e4eb7a2, 0xa920489a, 0x3dad80b5, 0xc2be4117, 0xf8f4ffc7, 0x5ba3f9e9, 0xffe2e089,
+    0x53246597, 0x36bc1940, 0x1328c87e, 0x3da0277a, 0xf78341de, 0xd25ca24b, 0x500ddfbb, 0x999f703c,
+    0xf5ea13af, 0x8aa67cde, 0x4768c430, 0xf722fc7f, 0x6b10b303, 0xaf899d7f, 0xcd0c726e, 0xc928d023,
+    0xb8d1df7c, 0xf231bd68, 0x563c9f1f, 0xf2ef7143, 0x1a691a11, 0x2a87b876, 0x50782726, 0x567fadd3,
+    0x67e183e8, 0x145267df, 0xcefafaa1, 0x14f9f9ad, 0x6ced2a43, 0x0f917751, 0x6dc6d176, 0xe80cefe6,
+    0x61397df9, 0x80817ae8, 0x19a5f75d, 0x340473a1, 0xafd3466a, 0x85e22e47, 0xa8af3ed0, 0xb2c06dee,
+    0xfd042385, 0xa356b95b, 0xa4dc40a3, 0xec96d46b, 0x279fa7bd, 0xc9e7822e, 0x98c21f4c, 0xc2049eb0,
+    0xa3aec996, 0x2bf198e4, 0xb321319d, 0xd35a528c, 0x4d51eae3, 0x5bdc04e3, 0x65ae1c95, 0xd6163b2d,
+    0xbfbf51bf, 0x437e5ebd, 0x311bea92, 0x221f4c2f, 0x4529ddec, 0xd8914d1a, 0xd80ab5c7, 0x11db35fb,
+    0xe524db7f, 0x31d3ef71, 0x7b377351, 0xc1586c52, 0x61cd9e26, 0xaa9075f8, 0x39999481, 0x50f78a23,
+    0xad3dc761, 0x9ce361f7, 0x4a9e8499, 0x38bc5046, 0x258e84fd, 0x71908907, 0x5232a7c8, 0x207dbfba,
+    0x30493520, 0x34ff4606, 0xf7a976ab, 0x7caa81b3, 0x07a5c2dd, 0x156c30f1, 0x58458617, 0xbcfc20f3,
+    0x1ebc8b4a, 0xdef81fed, 0xfe6422cc, 0x614973b2, 0x145c3861, 0xdf9745b9, 0xe3d2445e, 0x1ca24596,
+    0x9354f650, 0xf6744505, 0x7d545f96, 0x99f525fc, 0xb70ebef3, 0xe0aefa7e, 0x1d22cfcf, 0xf18efdac,
+    0xd1912eda, 0x40720981, 0x39c1c85f, 0xa1dcc1f5, 0xd2df248e, 0xdc8af9cd, 0xc61cfe25, 0x6bf54301,
+    0xed096faa, 0x85010d85, 0x91f9cd41, 0x90eb35cb, 0x26520542, 0x9991c637, 0x09391fde, 0x41d011c9,
+    0x9b76a892, 0x79dd3620, 0x696a2b14, 0x7a345c94, 0x4714a25a, 0xde18ea17, 0xa9d36978, 0xb3e0ca6b,
+    0x9f8cff46, 0x923af858, 0x8e5f0db3, 0xacdafc28, 0x905f8c73, 0xbd4f889f, 0x01754326, 0x348495be,
+    0x02d7658b, 0xa951ab0a, 0x6f31fa5c, 0x84cac3b3, 0xe30bf94c, 0xe7c74d7a, 0x55800180, 0x104f4bc2,
+    0xd56b8120, 0xc7d6c56c, 0x12924e7a, 0x725ea221, 0x1a446ac3, 0xbac0e6ab, 0x3b05c438, 0x8ef7851c,
+    0x8e73328d, 0x418a7fae, 0xf9f74935, 0x98c15c1b, 0x0f9bfde6, 0x183f3216, 0x5cdf70c6, 0xb91e0bc6,
+    0xce135d96, 0xf457116c, 0x20d154ce, 0x73caa102, 0x0c9cf4c4, 0xcc2d6ca5, 0x0e7e5d5a, 0x758d1413,
+    0x8fc1340b, 0x5364644e, 0x8c0421d8, 0xd19788d8, 0x853d50b5, 0x46803952, 0x58646599, 0xd6e8ea84,
+    0x9edab662, 0x351e0bed, 0x59bda9f3, 0x5654c202, 0x6a1bb5a1, 0xc94cb3ab, 0xe5130031, 0xfeaf2459,
+    0x6fa17d81, 0x2f67251d, 0x23ece95f, 0x89b4b623, 0x44c17056, 0x804bf262, 0x33734177, 0x80b1afa0,
+    0x356aa948, 0x9b99153d, 0xaa86292a, 0x6c7955eb, 0x1546c886, 0x87af5b3c, 0x41702fce, 0xb30c7ea2,
+    0x26fa3cc4, 0xe67acd7e, 0x963ac7b8, 0x4524ef91, 0xdcfe7495, 0xb668b75a, 0xac656a88, 0x8601300d,
+    0x4588fdc4, 0xd6df4ec9, 0x278f0ba7, 0x261bb656, 0xc7a95623, 0x23058b77, 0x5ae247bb, 0xbb620cf8,
+    0xc1bf2ee0, 0x4284b93b, 0xd3905a79, 0x43fb6c49, 0x9609794b, 0xdd5af89e, 0x5f9dbf85, 0xf53b6d2d,
+    0xf549edac, 0x6f5625cc, 0xc478e479, 0xdab03841, 0x423dc4ee, 0x944b6a40, 0x6b72d554, 0x125e835a,
+    0x344497bc, 0xa4e12963, 0xdc400f3c, 0x3e203cca, 0x94a5b233, 0xf35dac2c, 0x86699a4b, 0xab881e9f,
+    0x98b28aef, 0x780a73a7, 0xee8206b7, 0x8f8cb7cc, 0x8361f13b, 0x80b5ead8, 0x4a57f989, 0x399a3ec7,
+    0x02eb460e, 0x9eec1b38, 0x2703e884, 0x87b8241f, 0xfe54ae0f, 0xcef63067, 0x47bd35c0, 0xd9325cb6,
+    0x53e2a39a, 0xcd6be1e3, 0x9a8f80b3, 0x4b6976b5, 0x532ca905, 0x3975efc2, 0x47ca929e, 0x0dc7affe,
+    0x0df0d5c1, 0x03482bf3, 0xfb9c2474, 0xe169abb8, 0x62c151b8, 0x0a4d8923, 0xccde1bc9, 0x4a118a74,
+    0xb0148a1d, 0x6608ba54, 0x032504c8, 0xc1ccad46, 0x6e25e60c, 0xf0393347, 0xa6e8e6de, 0x9b4d0b2f,
+    0x3663ac79, 0xd831c46a, 0x7486c917, 0x2971fb00, 0xf35daa25, 0x1b3f8bcc, 0xa4223902, 0x3d918f20,
+    0xb3051c4f, 0xfc262943, 0x7a437367, 0xec08c696, 0x7e691484, 0xef73150b, 0x218672ec, 0x0eaa472f,
+    0x05348750, 0x357af0ae, 0xcca263e2, 0x8945b4b6, 0x7b5ff47b, 0xc2acd467, 0x7bc0f0a6, 0x12c6ceb5,
+    0xba6e21de, 0x60e8fc86, 0x699077c4, 0xd94f88b8, 0x90201695, 0xffa497bc, 0xe231edf4, 0x98f17956,
+    0xa0881b66, 0x7ac9dd5a, 0x7e872888, 0xab63d9f3, 0xee400b01, 0xe05e723d, 0x07ca4c94, 0x9ec43c10,
+    0xc3b59880, 0x78af69b0, 0x5ec2a121, 0x66af984e, 0x18d6dbfe, 0x1a19e7ea, 0x2a2b8e36, 0x002f70f3,
+    0x7487af66, 0x26868e82, 0x02c122f9, 0xf73696f7, 0x48333166, 0x040520b2, 0x592dc3fc, 0xe7e5019f,
+    0xe468974c, 0xb168326e, 0xc22917e0, 0x510e4203, 0xf8f19cfc, 0xf4a6d9f5, 0xe70aa41a, 0x8ae28e0e,
+    0x8f26d44f, 0x1a257787, 0x55ba80db, 0x8b4c9ca4, 0x86730556, 0xd43affe4, 0x6ff214ce, 0x632ab855,
+    0x70299a57, 0x578b72cf, 0x907c7313, 0x01ce0563, 0x063c3862, 0xc0ff77f0, 0x005e6440, 0x74dfcde4,
+    0x24d3b1b8, 0x17032e74, 0x80ee0f01, 0x25afcce9, 0x5fe2bcd1, 0xbfca539d, 0xa65d16b4, 0xeef43448,
+    0xb7dd7393, 0x1e907d1c, 0xb06588d2, 0x1337e4ee, 0xe580a687, 0xf982ace9, 0x77f39901, 0xa0cd78b1,
+    0x5e442742, 0x441ec97a, 0x6a70b2b9, 0x2b8015ab, 0x7c1b6451, 0x9a011905, 0x7715c577, 0x867478e8,
+    0x2cd8a646, 0xf1d5fa7a, 0x36305956, 0x8d32cd3a, 0xb8afef4b, 0x9fd27931, 0xa1b3c0a2, 0xacae7929,
+    0x48ad6dac, 0xe2162750, 0xe35e7b3a, 0x731c3f50, 0xdefcc69c, 0xf9646b2a, 0xfd8ec6f2, 0x57793a2b,
+    0x00dc198c, 0xb2d01025, 0x36855bca, 0xfa8c2e6a, 0x7e9d6250, 0x5e58bc10, 0xc1482aa7, 0x3f54e4e1,
+    0x007a7e02, 0x4a6df88f, 0xcf58a86f, 0x3e5ab5d5, 0xe275d4e6, 0x817b3800, 0xbfc0501f, 0x626b93b8,
+    0xd704928b, 0x29317b67, 0x1c3d974b, 0x3e59b2d2, 0xb33782d7, 0x3526ee44, 0x6b61e2d7, 0xcbc68a18,
+    0x473628c4, 0x6d992a01, 0xb56ee47b, 0xf39fec17, 0xd101628b, 0x6a3e2ac0, 0x4182f68a, 0x11a4a6d8,
+    0x5b5b3e9e, 0x12dafcbd, 0xec5b53e0, 0x8d6bb374, 0xc0587427, 0x9a0741f4, 0x91064c84, 0x3d56c6b5,
+    0x56cc6868, 0xe7c12fe2, 0x714b74c9, 0x76832ddd, 0x7c74791a, 0xfc6f501c, 0x3b2a5277, 0xf96c559f,
+    0xf5012e29, 0x41a7730a, 0xc6b2535b, 0xd59fda03, 0x43273e6b, 0x34f9662c, 0x3e79c3ad, 0x99c60b4f,
+    0x9f131c96, 0xb58ab4b0, 0xb5b6228e, 0x35e588c2, 0x9d86e764, 0x11d6b578, 0x68779f42, 0x842584e0,
+    0xc535accd, 0x271dff82, 0x3eec8c86, 0x40b2eab7, 0xbcbcbc9e, 0xe581d6c9, 0x824c6d72, 0x6fcd4d28,
+    0x90f4e3de, 0xde65ccb2, 0xb4aebff3, 0x4d5087e1, 0x86ced9fc, 0xcf2faebf, 0xf2301a64, 0x49618802,
+    0x8f07da5a, 0x910fe2fc, 0xafd686ae, 0x50998855, 0x23d9b18e, 0xb6b4dcc3, 0x556732c7, 0xdbc503a8,
+    0xa756f1ca, 0x65e772b8, 0x59692a27, 0xaf1a4da0, 0x4c93ee2d, 0x497d3006, 0x5992843e, 0xc442aca2,
+    0xc99d0eed, 0x5fab622a, 0x05712133, 0x5712b259, 0xdb99060b, 0xc8e21c0c, 0x38f620da, 0xc986af0f,
+    0xf0e1d940, 0x3bf23806, 0x33baed6a, 0x1af99931, 0xfd673584, 0x1a46cf45, 0x484aa6bc, 0xef38971d,
+    0x44a74508, 0xde793459, 0xa5cf793f, 0x5a126095, 0x1bc3053f, 0xdd3f8a47, 0xf2afe66f, 0xd160ed7d,
+    0xdcc218f5, 0x46871638, 0x0d1319ab, 0x61ba0931, 0x792b8edb, 0x98f65ee4, 0x52902fe2, 0x6e86a5d4,
+    0x9eb75019, 0x481bfc04, 0xf4121912, 0x8f8ffd57, 0xa24668e0, 0xe4bc9eef, 0x45eb630c, 0xa5b9369b,
+    0xf89fa1b6, 0xad8b5f8a, 0x0e6a7caa, 0xcdd68f58, 0x7592ccca, 0xccb7bfb4, 0xfd8c321f, 0x3a63e4c8,
+    0xf59a995c, 0x8a4c2f93, 0x1fc79d1f, 0x588d8cce, 0x80558f9d, 0xb42461f7, 0x0dbaeec8, 0x601e8758,
+    0x0494b3d7, 0xb35346c8, 0x117c63bb, 0xdd131ff1, 0xe3957fac, 0x1aaf9d66, 0xb690cb2e, 0x50b21fd0,
+    0x17a1c43e, 0x8a552869, 0xeb2b2982, 0xcd24e427, 0x762778cd, 0x9ac6afd7, 0xef23c302, 0xef6b1c5e,
+    0xdbc17605, 0xf04cf237, 0x9b212042, 0xb474664f, 0x2402e3b7, 0x47926a21, 0x2d8d69b1, 0xc52c2411,
+    0x1e90ba3c, 0x5d678d06, 0xf7573464, 0xcbb89f7c, 0xc105afaf, 0x9ed58b37, 0x0ca8c4ef, 0x5b7d6a12,
+    0x442afead, 0xdfe668b4, 0x6c4c1d1f, 0x4b7282a3, 0x44b703e6, 0x97db1353, 0x3bea748b, 0xc9fe09ff,
+    0xc1bd47e8, 0x88e900a0, 0x97345cb7, 0x9db27033, 0x8f3dbf18, 0x3d2cdbf9, 0x6112cfad, 0xe42e1e4a,
+    0x26efaae4, 0x6e4b594e, 0xfd4e69a9, 0xd64b9619, 0xc3d16a7c, 0x8f305dd0, 0x279684a0, 0xc3c258e2,
+    0xe9d08a33, 0x0dcd9625, 0x1ca1fb6d, 0xf9c3236c, 0xd37520fd, 0x54ace743, 0x01809709, 0x8ebe3193,
+    0xb3f20e8a, 0xb7c3cccb, 0x5abe2918, 0x6c18b7e1, 0xc737ae62, 0xeb89f83e, 0xd63b6cd6, 0xb821a2c2,
+    0x809e56dd, 0x9ddc9aa5, 0x5267f1bd, 0xa239a7b8, 0xeef36a74, 0x30267b33, 0x73ba9511, 0x9d7ba937,
+    0x6d979005, 0xe33d75ee, 0x24c7fc9c, 0x29fd2508, 0xc9bfd29b, 0x5f9465d7, 0xc44e26b6, 0x59254a17,
+    0x50671b10, 0xd578bf39, 0x42dc25b1, 0x2f5961b7, 0x7bdf538d, 0x78cacd4b, 0x0780448a, 0x1137a0f7,
+    0xe6757f18, 0x4302e012, 0x26e1a98f, 0x8219115c, 0x070be5e8, 0x811d8af1, 0xf8e87f64, 0x69d2afd3,
+    0x66f7101f, 0xe67ba368, 0x63b0e88e, 0xf9e7ba16, 0x3db0cdc5, 0xa9fd9609, 0xa775a5ea, 0x6ef4114c,
+    0xed0c11c4, 0x95bc3b29, 0xd98dbf93, 0xe0b51c53, 0xca4f15db, 0x3d820d06, 0x18ab6d2d, 0x1d419c6b,
+    0x2850cd43, 0x3731fcda, 0x5865a5be, 0x9fd2391e, 0xf3ca286e, 0xde90eb67, 0x03fd428b, 0x1476fe3f,
+    0xb222ad40, 0x5b5cb37a, 0x94e49fea, 0xd7598aa8, 0x2cd9eec6, 0x55f6ccf0, 0x868509ec, 0x41e12df0,
+    0xb69ab7ae, 0xd778914e, 0xf88fbaa7, 0x1002bdd5, 0x344790b5, 0x626fbcc7, 0xf58f60cf, 0x81655efa,
+    0x8905abe7, 0x87b34ed5, 0x8ecfa774, 0x03ecfe44, 0x8c5de589, 0xb9675ace, 0x3de8de5a, 0xe90a46c6,
+    0x5a9f9ac8, 0x3cdabdcc, 0x9e1fcadf, 0x08594d68, 0x65218360, 0xc14e9fab, 0xca6018f3, 0xc19b658d,
+    0x56db1657, 0x52766f58, 0xb4060a3f, 0x8ff0e6f4, 0x5b5e1377, 0x2b235fc8, 0x6cc90e40, 0x1c092d1a,
+    0x5b8b6def, 0xf1178be7, 0x482cdba5, 0x9140f253, 0x48a54ce9, 0xcb9cb2c4, 0xba692edd, 0x000eb26c,
+    0xc2378e53, 0xd4e0cac3, 0x0e20caa7, 0x86a060ce, 0x94792396, 0x0e525a5b, 0x5a4c91af, 0x0b115d8d,
+    0x8612cc00, 0x5bb1974f, 0x2f2dd1ec, 0xe183ffb6, 0x38f14d34, 0x0543044c, 0xe78ad0f0, 0xb47e6071,
+    0xa6ceee73, 0x6d1842bc, 0x619eab01, 0xbed996a8, 0x9f6d804c, 0x8b27f787, 0x035d4d6e, 0x820771bd,
+    0x00000000,
+    0x236d5900, 0x6f675a9d, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000013479973333575319897333507543509815336818572211270286240551805124608 */
+  { 0x00000000,
+    0x72595f9f, 0x323d6854, 0x3c0440c5, 0xefb1fd66, 0xcd78e67d, 0x5110f38e, 0x282903d4, 0xe918680b,
+    0xfee74c64, 0x47bb5d28, 0xd1344f3c, 0xb9c9ae82, 0xc543da87, 0x89032c56, 0x605b4c49, 0x621d8976,
+    0x7273624e, 0xe2a4ddc1, 0x56cd2d00, 0x2d2e773e, 0x2c02bae7, 0xcc2cd011, 0xf8c15fcf, 0xa4372fbb,
+    0xa3974954, 0xd0ec0713, 0x13303ee6, 0x790eccd5, 0x468fd6ec, 0x0aca538c, 0x8167a0bb, 0xe16ac7cb,
+    0xdf96a768, 0x4f274f93, 0x7f20417f, 0xdbfd454c, 0x2839d8b4, 0x1930e939, 0x7cd5b68a, 0x7a6a7cc9,
+    0xa60b3c8b, 0x2edcc576, 0xc4c5a643, 0x5fbba0f3, 0x112236a0, 0x183c82b6, 0x0d9aa125, 0x187fab43,
+    0x35453d9b, 0x329cec8b, 0x5a9bc558, 0x7aceeb33, 0xffcbd2bc, 0xb61dd6f3, 0xc7f00240, 0x689019eb,
+    0x888942d2, 0x968a7b33, 0xa2c38b5c, 0x4819285e, 0xa34cc7ed, 0x1d255bdd, 0x94d3c927, 0x77626764,
+    0x7aea2f4a, 0x6f80f433, 0x6fb381a8, 0x9484493c, 0xcdb1bb98, 0x6bced09c, 0x1cc22caa, 0x72df47fc,
+    0x0018004c, 0x8111d4e7, 0xc1ad77a6, 0x3f83e6cd, 0x6577ef20, 0x2065330a, 0xf7fd8abf, 0x8b03b469,
+    0xfb0af729, 0x56f68368, 0x288992b9, 0xba40d13f, 0x71388a48, 0xa5c0d3a2, 0x8c27c14e, 0x9a89400b,
+    0x1e1c570b, 0xcfdb84e9, 0x9d4b7a32, 0x76e8dbae, 0x08dc2f7a, 0x9f3cbdc0, 0x2ee66a98, 0x4534f274,
+    0x6dcd81c3, 0x2edf46b2, 0x825dbf21, 0x59219225, 0xb1679589, 0xca037280, 0x2b5ffa01, 0x24ff5fd7,
+    0xfb27c8a5, 0xb1280b35, 0x53487354, 0x8cedaacd, 0x03f3948e, 0x43f3367e, 0xd7758515, 0x783a9e4b,
+    0x370e8882, 0xbdd589d5, 0xe935ae6d, 0x0d8d40ad, 0xaa733d3a, 0x0c3d1480, 0x3cf8c586, 0x17338393,
+    0x5b09b066, 0x47324389, 0x8ec45f70, 0xad7be6ae, 0x9b067aff, 0x45273d43, 0x89b2bebe, 0xf8ac4fe3,
+    0xfb8124ec, 0x3aad0755, 0x63519a9e, 0x0eb13897, 0x2d056203, 0x8383c910, 0x5e1d5a52, 0xcc80b832,
+    0x04f4841c, 0x9f43167c, 0x3008a7d3, 0xe8a200d7, 0x40934d51, 0x3659b395, 0xe68503ae, 0x7b004ee6,
+    0xa4de0e6f, 0xa0873c61, 0x3b977ba1, 0x0ac78bb7, 0xb83fee76, 0x7cbc3e4b, 0x18aebe2c, 0x88414f12,
+    0x400f450d, 0xfe80780b, 0x0c117098, 0x7909c8d9, 0x520fccea, 0x5205dd88, 0xb4d2541a, 0x8c452df6,
+    0x9b87dd3f, 0x727e5c49, 0xce8c7172, 0x1e638473, 0x1dac8be7, 0x681ebd8e, 0xa08d7f58, 0xc907e59e,
+    0x03555a6d, 0x6276a5ab, 0x918f5f8d, 0x3afd6247, 0x97f154bb, 0x5ad5c721, 0x09421f39, 0x4d59131b,
+    0x8ad9b3c8, 0xb2955367, 0xd49fdbcd, 0x26672949, 0x684c1ce3, 0x0e265fa2, 0x14118bf6, 0xba7cc193,
+    0xf9bcbf42, 0xd8a2208d, 0xc2201256, 0x196a04dc, 0x9183903d, 0x1fc005b9, 0xa706e881, 0x5cf5c3cd,
+    0xadd640c6, 0xf92cb969, 0xe9a7c5f0, 0x6fe43684, 0xeb6bb23a, 0x8215cd28, 0xa59a0f0f, 0xe180465b,
+    0x4437d454, 0xf48193b8, 0xc74afc85, 0xbf03c837, 0x7df1fd3a, 0x93ab7797, 0x3eb573e5, 0xa1784c91,
+    0x00953a37, 0xfac0d504, 0xb369df67, 0x4460e5b1, 0x73826738, 0x2a721547, 0x1bf68029, 0x628bd3df,
+    0x7d4792ec, 0x2c98a423, 0x440e1ad8, 0xd6c0647c, 0x1f555135, 0x86f4bc57, 0x3761b5a4, 0x851e1df2,
+    0x5c78e5cb, 0xff0bfd51, 0x2e9a1b6b, 0x57423709, 0xe9cab14e, 0x0f16168a, 0xa24a32f4, 0xecaf2f98,
+    0x61796fc8, 0x5609bdab, 0xf858f879, 0x76442dc5, 0xbc7c5410, 0xaa11541b, 0xe2b00c44, 0x2caf25f0,
+    0x9a3bc25e, 0x15c80c2f, 0xad6c22de, 0x7afc5981, 0xaf987adb, 0xb5ea639c, 0x30978d0c, 0xdc5e28aa,
+    0xe86cf0f6, 0x7b6fc178, 0xb40fc476, 0xccb0e85a, 0x5c97a57f, 0xba0b83cc, 0x0dc81b54, 0x7b4d1241,
+    0xde71c899, 0xb26f4f67, 0xbad10116, 0xd6d56ca0, 0xad16c59f, 0x658a420d, 0x5f23ac0a, 0x71dd7e4a,
+    0xd156c07d, 0x83c87223, 0x92a522a4, 0xe5b112dd, 0x4c33603d, 0x8ead2244, 0x5f1c5f1a, 0x33ef95a1,
+    0xb8727ab6, 0x975b8dfe, 0xf463ea63, 0xaddeb05a, 0xe5aa9df2, 0xb1acec61, 0xd12e9cdf, 0x58fab1de,
+    0x977afee8, 0x10fb430f, 0xb43abee7, 0xb019674a, 0x565cea11, 0x955e7a35, 0x67a35eec, 0x847fc63c,
+    0x63745203, 0xc0c85481, 0xfa7c5627, 0x31502de0, 0xdd2c8c3c, 0x69f13a4a, 0x8eee3be6, 0x7eeb5cfb,
+    0x38044e60, 0x49c8dd43, 0x69c50a48, 0x21867fce, 0x989438ee, 0x34246908, 0xd532cc36, 0x3fc53df3,
+    0xb41b3d89, 0xf74bbdf6, 0x933d0bf3, 0x4629e290, 0xf9fe7b94, 0xdf4b767e, 0xb28102ea, 0xf2e221ab,
+    0x62f2fa64, 0xe7ebf4ee, 0xc047b93e, 0xc83bb28b, 0x429bbfb5, 0x5947c478, 0xd427d9ac, 0x541f6407,
+    0x40420cf0, 0x452c65f4, 0x5af2112f, 0xb03eb41c, 0x886340f1, 0x2828895a, 0xc2ee7321, 0xbfdc9d55,
+    0x2bab3be4, 0xfe1c69ab, 0x8ad4e627, 0x50617022, 0x38434d0c, 0x29cd5e1e, 0xf3c74664, 0xb3016176,
+    0x1d64b8e4, 0xda6be22d, 0x96258afd, 0xc991f48d, 0xd4dc9095, 0x7264bd46, 0xdd89c665, 0xc048a063,
+    0x683f0093, 0xf20be034, 0x4d2ef98e, 0x964c7f6a, 0xe6364ebf, 0x1578fc08, 0x5ac87c0e, 0x3964fcf8,
+    0xf6efcf33, 0xdeed8d57, 0xad131abb, 0x7294070b, 0x9bad7fef, 0xf491735e, 0xca232e6a, 0x04c0f0dd,
+    0x4493cdba, 0x3817b9a2, 0xe540204f, 0x42adeb7f, 0xd7ade420, 0x9c1f502d, 0xba4c603c, 0xe60ee76e,
+    0xf3fa1346, 0x45ee0ed5, 0xb39f4a8c, 0x2aab2784, 0x20569870, 0x480e2609, 0x004d1e7e, 0xc8fa4d88,
+    0x50d21396, 0x118466cd, 0x4a98a784, 0x4bc39c3b, 0x8632f4b3, 0xc2c03710, 0x652f6556, 0x6e8bc72b,
+    0x2291a9cc, 0xfde67fce, 0x20f32d9d, 0x14e993b7, 0x56d95e2f, 0xf21f8c46, 0xae9b5bcf, 0xd1e5a31c,
+    0xb0943210, 0xb3b51cec, 0x6bcad3ac, 0x7436742f, 0xa65c4827, 0x38e91b8b, 0x3f66c1b7, 0xccb6eb87,
+    0x6fbc935a, 0xce97462e, 0x3f89fc6a, 0xcab21a23, 0x4432cb60, 0xbc616e72, 0xe8979dba, 0x34066ac1,
+    0xcbc8d426, 0x4bb0af0f, 0xb1165b6b, 0xf2bbb57e, 0x55ccc979, 0xdb229736, 0x3384f7ed, 0x46c51fed,
+    0x7773536c, 0x0f7e2045, 0x389e08de, 0x5c92d54e, 0x5127a363, 0xa95b1980, 0xeeef68db, 0xaaa786f9,
+    0x0ab3ab47, 0xe4f53212, 0x96d00c06, 0x98ae5cac, 0x85676de0, 0x7e4fb49e, 0x71a712cc, 0xe68043a3,
+    0xc4309ad6, 0xadbdf1e1, 0x3a3f0a2e, 0x69fe75ff, 0xcaf1b7e8, 0x95c3b3c7, 0x8e5bba23, 0x8aa99b26,
+    0xd7bca5af, 0xc9bfd5b6, 0xa71f56d6, 0x5e3915f4, 0xf839845a, 0xe6b1120e, 0xbe4ecdf2, 0xb466e7a4,
+    0x20c95b1b, 0x01b9e630, 0x5503348d, 0x4661f21a, 0x85ddeee1, 0x821ae5cc, 0x6726b0d3, 0x5bf6455d,
+    0xc4d78669, 0x67401050, 0x4de56333, 0x06270fc8, 0x0892812b, 0x9f9fb246, 0x55825562, 0x76881f35,
+    0x356f91b0, 0x3527e567, 0x3b021805, 0xfece3c32, 0x655cf119, 0x3e71bf10, 0xca8b8745, 0x9d440ab2,
+    0xc7b7ca6b, 0xbe5c41b2, 0x33ef2f1c, 0x650fbc5b, 0x48124b1d, 0x1dd7bf21, 0x54841f4f, 0x28e4bf7f,
+    0xb40d6f15, 0xf29a6eb1, 0x3d1a529b, 0x4bef187d, 0x210e759d, 0xb1c16d6c, 0xc9ccc64b, 0x2130310e,
+    0xa5bd38cb, 0xb40d0d57, 0xcf324ab4, 0x0de24da9, 0x8bb99285, 0xe4a143c1, 0x54511834, 0x153629f4,
+    0x5295ae4c, 0x47db4d74, 0x6b2b99de, 0x3a4e148f, 0x716b11c0, 0x6d750070, 0xce7f8789, 0x97b57afd,
+    0x3d1583fa, 0x0f733ba6, 0x6ad6db0d, 0x6bde0f0f, 0xaefc1383, 0x05b98731, 0x5bb32a47, 0xa0e3e0c6,
+    0x059b5071, 0xdf4abcf0, 0xcdc7b031, 0x845f0142, 0x004c50d8, 0x62f089ba, 0xeed3d755, 0xf6bc0dcc,
+    0x5f2bfe2a, 0x8cc924f3, 0x7396adc2, 0x1fe5969c, 0x79b715bd, 0x1a7e1f89, 0x6c3bb3a4, 0xd7ee4ab4,
+    0x482ccc34, 0xf132dd79, 0x7ea7ee61, 0x897e3058, 0x62b5ae3d, 0xcad37c8b, 0xc82e36b9, 0xa746ee3e,
+    0x109c67e8, 0x96c6b789, 0xad7d182c, 0x03b58611, 0x644c00d8, 0x560bb72b, 0x9afadf27, 0x36b52294,
+    0xb515ee25, 0x868e076c, 0x76b1bd00, 0x0c25cffb, 0x3dd03665, 0x6b445818, 0xbb0ee0c5, 0x9bfae50b,
+    0xb112e0c6, 0xe8801c57, 0x31afbc1c, 0x8bf72030, 0x7f42f547, 0xc66ceef9, 0xffcebfa2, 0x7ba1312d,
+    0xecd77aff, 0xf11c0a64, 0x6de7477b, 0xa46733d9, 0xc939010e, 0x3449d580, 0xbc8ba4fc, 0x700d7093,
+    0xbd8ecb94, 0x34ffffd9, 0x560da634, 0x1c03d50b, 0xc04278d2, 0x7d986143, 0xa65063f7, 0x207ae3c5,
+    0x0fc10ba3, 0x089b6a8e, 0x8ada7d2a, 0xdf900b06, 0xa456fe62, 0x1808eab8, 0xd2fbe63d, 0xfe5445a2,
+    0x3f756c2b, 0x35091555, 0x6b670dd2, 0xa599140a, 0xb54a4a72, 0xb8feefae, 0x2417edc5, 0xb97813c0,
+    0x63f72ee2, 0xf62b3ecc, 0xc5b34105, 0xf4ee337d, 0xb741aea9, 0x388c23ff, 0x5db0bbf2, 0xdb140c08,
+    0xc5d8de28, 0xaf67bfd9, 0xfe78b734, 0x26f22b3b, 0xb28ac2dd, 0xd2ee579f, 0xab40bc87, 0x845b5c9d,
+    0xdae2a71c, 0xf2f1ef02, 0xace185a7, 0x88b1b565, 0x46609ad3, 0xd44a0fce, 0x34fe2eda, 0xb7875571,
+    0x66b84923, 0x588001a6, 0xa27f063a, 0x5662b5c3, 0xb2ff7a91, 0xbcce9208, 0x684a3a60, 0x3866cb61,
+    0x028916a3, 0xf3c4526a, 0x1f9ff88d, 0xbfcda860, 0xc184b8a7, 0x3a2b1a76, 0xb11b95a3, 0xcdffc170,
+    0xb6ca1a90, 0x5e1f9d72, 0xbe7137aa, 0x6687d012, 0x1ea5430d, 0x7bbe3291, 0xb7aa2d1e, 0xc49fc82c,
+    0xb7c359b9, 0x37ea7321, 0xa429f93b, 0x4b978f26, 0x6426ebff, 0x71701a37, 0x3b92695a, 0x4fbc2190,
+    0xcd2ee8c2, 0xb8611200, 0xf331d8a9, 0x71707d14, 0x55e2c433, 0x4c44ea4c, 0x827f4fc8, 0x930c462c,
+    0xdd880ef9, 0x27748bf4, 0xb3234299, 0x811cbda3, 0xfbb347a3, 0xf182775e, 0x4f07333d, 0xea2f48d1,
+    0x26643433, 0x0e775a3b, 0xded761fd, 0x8e49ddf9, 0x586619e6, 0x76990479, 0x35382c12, 0x60ae3061,
+    0xdb2133df, 0x9b1e25ac, 0xd23fb4ef, 0x9912689c, 0x1d7ee015, 0x8badfbfd, 0xada4069a, 0x74935633,
+    0x802019a7, 0x3f3040a2, 0x3435d4c1, 0xeb56c075, 0x89f1e2a6, 0x96cc3734, 0x8cb68c8e, 0x5bec399f,
+    0x9c87662d, 0x341052e3, 0x78a0688d, 0x5c7ce8b0, 0xbf274508, 0xd94a1514, 0x8b36eb5b, 0x0ea90ddc,
+    0x67b82d58, 0xecf36c67, 0x975af566, 0x605747b2, 0xd23c42d6, 0x2a82cd45, 0x1c8ae5af, 0x703b4249,
+    0x22a37fe5, 0xf2d0361c, 0x5a2a7772, 0x89e62dd2, 0xb509195e, 0x219d36ba, 0xfa34affd, 0x44feeeb6,
+    0xd84168f4, 0x583b84a0, 0x064b805e, 0xf63847b8, 0xc8a98137, 0x1add5393, 0x1139daca, 0x853810a4,
+    0xd4acc10a, 0x9898b008, 0x60e5f0bd, 0x2e42ae78, 0x4e6ef434, 0xee1233df, 0x2c06efcb, 0x4b4f54a4,
+    0x27e04a28, 0x18e4d0d7, 0x071535bd, 0x3721abd1, 0x1f72cb9e, 0xc586ae3e, 0xea6bfea8, 0xdb47dba0,
+    0xddc14c9c, 0x8133a548, 0xa0295c9c, 0xcad586af, 0xb9545eb1, 0xc3d773af, 0xf2b82a7e, 0x09ff2b00,
+    0x7c879015, 0x995a5019, 0x6f76f5bc, 0xcfe0607f, 0xfd3ede1f, 0x3657f0ee, 0xaba86690, 0xb38a8ea7,
+    0xa1e3bab5, 0x4380fa1a, 0x67d9679b, 0x1bfb444e, 0xd9f8875e, 0xa4e183da, 0x9ee9e694, 0x240279ba,
+    0xce48b4f6, 0x1cfa6b2a, 0x91768772, 0x112666ba, 0x7f0ff22f, 0xa72bd511, 0x29e9536a, 0x363dd88a,
+    0x5907d3bb, 0xef56d0de, 0xc22c19fd, 0xc11ec04d, 0x29a2aa92, 0x7d4ac49d, 0x4ed5feb3, 0x107d4cb1,
+    0xd3154905, 0x7bab6820, 0x216a0361, 0x41a91045, 0xe7e55199, 0xaa2b566c, 0xdcd403ae, 0x49601c9d,
+    0xf0e92799, 0x193b52a1, 0x1461ff12, 0x4fa41e30, 0x89be89ad, 0x61c69791, 0xd43ff8d1, 0x0b8e12ce,
+    0x0d423ccd, 0x15caa420, 0x6e58c939, 0x0845754d, 0x451e8284, 0xf5f933ba, 0x9513b6ed, 0xef0c6ea9,
+    0xb1cf3472, 0x2e6bb486, 0x39b939dd, 0x7c36a121, 0x7de6968c, 0x9dfdefb8, 0xe15a6c03, 0x89b91038,
+    0x415cc278, 0x9d33f925, 0x847237e5, 0xe42ad069, 0xea76e646, 0x1b23f64b, 0x685ab76f, 0x02df2924,
+    0x9621af91, 0xc0576958, 0x81cc004e, 0xe4bb319d, 0xaf40272f, 0xd632b117, 0x76eeeb19, 0x88699fd5,
+    0x153e401e, 0x27cd5565, 0xf581d4f3, 0xd70b8c7d, 0x348cd43e, 0x8a19b11a, 0xa0b6e239, 0x84533537,
+    0xffa3807b, 0x9c3993b7, 0x2a8ad5d7, 0x05ecf111, 0xa8bc123b, 0xbccb00aa, 0xcecfb8da, 0x6983f1c1,
+    0xe75e492c, 0xe0c7534a, 0xc9689fdd, 0x5ac82d02, 0x04918419, 0xa0f46e2d, 0xec2072a2, 0x4e4a94e0,
+    0xd2fa22cc, 0x130c5cb4, 0x09df8dc5, 0x34219f9f, 0x26e8aa3b, 0x833f2b68, 0x07d2a846, 0xaeb83116,
+    0x3ac58e1b, 0xfaca67fc, 0xdf4b2947, 0xf754dd52, 0x18a59562, 0xc231e9c9, 0x23bfe7f5, 0xd30d41f6,
+    0x96241546, 0x8329b3ad, 0x56bd9f25, 0x3a1947ea, 0xe59d0a20, 0xab5c16fb, 0xdc645cbd, 0x1f4679a4,
+    0xffeea947, 0x3302789c, 0xe758829e, 0x412cb6e8, 0xd511970d, 0x1ef6c68d, 0xf4932567, 0x5cac9672,
+    0x2de44405, 0x13d7e7e8, 0x4b79e8eb, 0x87e4ba6f, 0x315f05d5, 0xd4c8bae0, 0x9347120b, 0x02f23465,
+    0x616dc0a0, 0xc18c7b11, 0xa47151ec, 0xb2b87c09, 0x4e169cc2, 0x73d42bdf, 0xbb5d7dd7, 0xc87a57be,
+    0x1790cf67, 0x9a40073e, 0x94e83a0d, 0xd6f88bf0, 0x1c748717, 0xf1efdd04, 0x5974cba6, 0xbdce2680,
+    0xb26f08bd, 0xfeba173d, 0xca023e4e, 0x9b252bbb, 0x598a7a39, 0x5f5e4e27, 0xfbabdb4d, 0xfaa983fe,
+    0x079c2b45, 0x589f42f2, 0x7a6ffd05, 0xa88f4067, 0x49c0698e, 0x811b5e48, 0xf0358cb2, 0xb75b1ddc,
+    0x606a8bda, 0x5d1f0441, 0x94d9b8ab, 0xb8692d8f, 0xdd8addf3, 0x69c98dde, 0x1c7f29cb, 0x797ee236,
+    0xef2cb88e, 0x04a828fe, 0xb697f80f, 0x87b9d57f, 0x0b096eec, 0x3f1d5fdb, 0xfdb574ba, 0x5b2ac118,
+    0xd4217685, 0xcc377041, 0x45dbec40, 0x8ae5742a, 0xa06d638f, 0x0f3b106b, 0xd86189d2, 0x64cd2f9e,
+    0x490fa69b, 0xc94e0515, 0x1214078a, 0xeb8c8608, 0x1bcb4a9f, 0x5e64ac39, 0xf6580f33, 0xe0fe7936,
+    0xe2618895, 0xd7853250, 0x837f202e, 0xbaade61c, 0x22712528, 0x720ab4a5, 0x55af5ae4, 0xed8a255c,
+    0x28340431, 0x23c34bd9, 0x11ce3e22, 0x23ea8c37, 0xa89cf179, 0x9b20285c, 0x3d66a3f5, 0xe698b128,
+    0x27d55a7d, 0x5b9605b7, 0x8a2b745f, 0x6dc362ea, 0x283f2311, 0xe94f597b, 0xa1243f71, 0x8e092b20,
+    0xd6882047, 0xe52fa6a7, 0x4e25c09e, 0x220b5354, 0xaf16ea47, 0x5153b74d, 0x37aad4fe, 0x176b44d1,
+    0x02c76f22, 0x3a67fce1, 0x66c439b8, 0x02386365, 0x91fb90e2, 0xf5c6143b, 0xeb84b84e, 0x31ede426,
+    0xdb4c1bb2, 0xbd6d5121, 0xcc86f64c, 0x523d6410, 0x8d53da0e, 0xa127cab8, 0xe11b4c64, 0xff9ca342,
+    0xd299d8ec, 0x9c37c8a7, 0xdf62c900, 0x51ea68ac, 0x7a374037, 0xd8344f53, 0xf7f64258, 0xb672cef1,
+    0x00000000,
+    0x91b6ac7f, 0x37b3ad4e, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000006739986666787659948666753771754907668409286105635143120275902562304 */
+  { 0x00000000,
+    0x0da414b2, 0x05d4c554, 0x2fb013dd, 0x2627dffa, 0x8cad3db5, 0x956075e6, 0x2197a2d4, 0xfaecbe23,
+    0xc44723a6, 0x7d54a500, 0x3fd9f29c, 0xa767400d, 0xd83b383b, 0xe2e3e95e, 0x7e973350, 0xf4969bb3,
+    0x12206a0e, 0xf0938a83, 0x36427fdb, 0x2bee5495, 0xe8c8b24e, 0x10d2dfe8, 0xc9e35588, 0x6b0ec88d,
+    0x0271d36e, 0xba12ef82, 0xff990898, 0x470902c0, 0xdba804a3, 0xced5721c, 0x19ebe72f, 0xb6c57bfc,
+    0x8941613d, 0x1d1e7270, 0xf8c0e039, 0xa072e790, 0x4286666c, 0x2dd62e99, 0xa2db9dc8, 0x5726be53,
+    0x2525ed26, 0xa4c8206f, 0x3b69b183, 0xb9e05f9e, 0x5d22b904, 0x76bf89e9, 0xe50cd9f8, 0x9884b322,
+    0xc4ebcdee, 0x4d84ff1f, 0xcf507985, 0xabe5cab8, 0x8f80829d, 0x9c9e868a, 0x168158a3, 0xadfdbf04,
+    0xed5d8cef, 0x80203160, 0xbc96c508, 0x2c5e9a12, 0xa10360e7, 0xee4b7226, 0x4f79b7a9, 0x10cdba73,
+    0xe0030995, 0x5d7ad482, 0xbe82d923, 0xfad7cd83, 0x91f0ffcb, 0x1fec020a, 0xc6184e48, 0xef8984f1,
+    0x46fae71e, 0x39d63d04, 0x65c72392, 0x7e30ea2a, 0x76280903, 0x6f41fc02, 0x3e6da543, 0x3acade59,
+    0x53f58291, 0x6ec894bc, 0x5fb813da, 0x1c2bfa94, 0xcd7fdede, 0xa314b3ae, 0x0ead26e9, 0x4f63259e,
+    0x4a5174ad, 0x1bd0ccdb, 0xd42ba5ee, 0x3d6c5484, 0x64bb61e8, 0x29842e41, 0xf6f66a80, 0xe0466a28,
+    0xb27a80aa, 0x744c7cdd, 0xf61501c5, 0xbd3e0db1, 0xdfa115eb, 0x25dafe4e, 0x23de5517, 0xd673c404,
+    0x7fd6c908, 0x0e2d0d64, 0xe1c2a989, 0xc91cdfa0, 0x51fdfb11, 0xeda9dc9e, 0x7c16d682, 0xfee44284,
+    0xb28c22e9, 0x75b0b555, 0x27bbcb17, 0x37c29ab0, 0x9d3a1bbd, 0x3a0540dc, 0x8ac50725, 0x82d83744,
+    0x63cbbdb7, 0x24b05a8c, 0xe97370e1, 0x8f12704b, 0x1d1afd08, 0x2ade7ad3, 0x3425d78e, 0x17ef744a,
+    0x3ea519f3, 0xdc90636f, 0xa0eab064, 0x7a1f8749, 0x480d2765, 0x50ce5eef, 0xff100641, 0x1f72b55c,
+    0xdb1217fe, 0xa424055c, 0x7aef211a, 0x7cb414df, 0x250d7c73, 0x7c383ac2, 0xc9441c74, 0x486a5684,
+    0xf7842050, 0x60576376, 0x57bcdedb, 0x8f837c19, 0xf0d2439c, 0x4e5d919c, 0x1416ec18, 0xf40d5013,
+    0xf2b9dd33, 0x51355eda, 0x1705b862, 0x73535e02, 0xc86269bc, 0xac6d2554, 0x467a1c40, 0x3681e39c,
+    0xf9ed67f0, 0x74da8003, 0x688fb11f, 0xc6985f2a, 0xd4407363, 0x4574f25b, 0xc75cadbe, 0x13c063d0,
+    0x5256f729, 0xdec8b067, 0xb9d16c4f, 0x7ffa9b4a, 0x650147cf, 0x0317629d, 0xccb94ee7, 0x529c1d99,
+    0xa5525c2d, 0xd99772f5, 0x95709537, 0xf5c03d21, 0xa261929f, 0x930ec403, 0xfafc2298, 0x4c484aa4,
+    0xeb776e61, 0x3cae7f0c, 0xb4ce5261, 0x5f20247c, 0x6e80e82a, 0x978e3f6f, 0xde934a72, 0xd0ded6ad,
+    0x861aff8a, 0xe903ad0e, 0x4671e93e, 0x9d2bf885, 0xed668d06, 0xf0d52cb0, 0x0c7a0f8c, 0x12c36798,
+    0xe56fdd0b, 0xdf87855b, 0xf6d61933, 0x9e9dfc1b, 0xe4edce6b, 0x66dc444f, 0x72fa516e, 0xb928bb32,
+    0x688a8c9a, 0xb092493c, 0x780709e7, 0x163ebf56, 0x18c7bf6f, 0x518d1811, 0x8fe0e5b8, 0xcd539ef7,
+    0x7715dfb0, 0x7c8a6d2c, 0x2bec3603, 0x0ab878d5, 0x40c5ce87, 0x56a88df3, 0xaae777d7, 0xded66fcb,
+    0x4ec9d6d8, 0xe6446a55, 0xe233db79, 0xdd5a254c, 0x93abbf05, 0xb2081210, 0xcf0e367e, 0x12dd55d4,
+    0x7c2e8e2d, 0x46a6f914, 0x5ae99542, 0x76493712, 0x73550a5d, 0xd0084f34, 0x3f5e7ce0, 0xdbd08042,
+    0xae945fb0, 0x18bb14eb, 0xddbc578e, 0xb3c6638f, 0xaa5a8f36, 0x85f822e5, 0x844f7de8, 0x26f7edcd,
+    0x889b9cda, 0xdc58c53d, 0xf14953ed, 0x912182e8, 0xe9263323, 0x9c52e28e, 0xe5c38ab0, 0xf1eb4492,
+    0x2337f026, 0xb917fb3f, 0xcc480305, 0x3c952eab, 0xf4e89aab, 0xcea8c356, 0x1a6d7b80, 0xf53761f1,
+    0x501a2eb9, 0x0988e95a, 0x088fc0b7, 0x4275b52d, 0xd00542b8, 0x62a20816, 0x7719c3f8, 0x4be1d757,
+    0x81192699, 0x460627e4, 0x4881a9a3, 0x9d99c9f6, 0xbfbe52a2, 0x326162ee, 0xc20706c1, 0x20b0f9c3,
+    0x440086c5, 0xd0311e86, 0x81a5989a, 0x8384e8a8, 0x1055d966, 0x7181cfcf, 0xe988feb8, 0xde986bf2,
+    0x72c4820b, 0x43998957, 0x1aea04a5, 0xe15a6b6d, 0x79c305e9, 0x9794b550, 0x7bc88a92, 0xbd44c8f7,
+    0x110299ab, 0x6d03cadd, 0x49662248, 0x80a5f312, 0x25a7a233, 0x4f18f34a, 0x3fda29af, 0xc5edf2d9,
+    0x4b862580, 0xa435d47d, 0x9b22a4ff, 0x3d86b67c, 0x573469af, 0xac800c6e, 0x0ab8ec13, 0xe9b80cf2,
+    0x4b682362, 0x2fa5ce3a, 0x19e338c7, 0xe33fe042, 0x177b7810, 0x10ef923e, 0x12672df0, 0x39f549d4,
+    0xbeb5b441, 0xf5f0799b, 0xd7b2170d, 0xf1df6ad9, 0x8e423512, 0x20fad3f0, 0xd7fad9b6, 0xba8172b9,
+    0xa08cc4d2, 0xa876388c, 0xe4d412b3, 0x9c7ff370, 0x92ac5b13, 0x68fecd15, 0x751f9fcb, 0x98d55142,
+    0x4cc82527, 0x78991fdb, 0xbb63aa1b, 0xc6d36488, 0xdaac99ef, 0x7abca1eb, 0xa8e6f788, 0x7538273d,
+    0xa09dad6d, 0xa40dbd29, 0xbebdec62, 0x989f9e44, 0xbc0c762a, 0x1f433e8c, 0xcfb12f57, 0xfe65f2e2,
+    0xf19dbc9d, 0x87c7dcf1, 0x4cbac04e, 0xf690d23c, 0x98aef70a, 0x88c1a443, 0x195468cb, 0xbac11e31,
+    0xd1ff4aa7, 0x52af940b, 0xb31cc405, 0xe097a0e9, 0xf00d3fe8, 0x64592426, 0x074db3c2, 0x603bcc25,
+    0xb3583f30, 0x47b196a2, 0x107c6021, 0x9aad797e, 0x67b8713e, 0xb8ffb3b6, 0xa90b154e, 0xf37f7a57,
+    0x2b0943b4, 0xe76151ba, 0xa0591ffe, 0x70f3658d, 0x6c68ce7a, 0x91303a62, 0xc5b6885e, 0x1bc53fd2,
+    0xe7688f72, 0xc3fd9613, 0x99c075dd, 0xef7bd1be, 0x76b7d69e, 0xdc31880e, 0xecda8293, 0x72c1919b,
+    0xe0818e08, 0x7fc8e966, 0xbd6e9974, 0x1eb69f2d, 0xc3419d7c, 0x39ccfdf8, 0xc62c6ce1, 0xc0b93722,
+    0xec8b9660, 0x880cbe8b, 0xfdbb3b4b, 0xeec73d51, 0xdf1d4f16, 0x6216843f, 0xe269b8cd, 0x4e43369e,
+    0x879c121a, 0x50ebe8c4, 0xc9a37854, 0x2362dd01, 0x0cb3c9c2, 0x34488c90, 0x1b755300, 0x161be18f,
+    0x548b19e1, 0x24606014, 0xbf8ecd22, 0x1722cfb7, 0x22309b22, 0xeb058890, 0x04d260fa, 0xd15e8ede,
+    0x45711e4c, 0xffabe8bb, 0x74932d02, 0xc7ed7817, 0xefd79bbd, 0xd10d60d0, 0xaf9b4188, 0x03d9e91c,
+    0xa37db49f, 0xf9b95cc8, 0x70eda4d1, 0xd25138e5, 0xa13badd3, 0x049f0e2b, 0x0f9e3687, 0x9f89cfab,
+    0x0794cdb9, 0xcb32dd2c, 0x5f3397cd, 0x02c32abd, 0x43e87072, 0x2e9a2597, 0x3a6f64e0, 0x07cfe9d0,
+    0xad128ec4, 0x359fc22c, 0x70bbf3c7, 0xe8d7d383, 0xec6fbaff, 0xe29c3e8c, 0xe304f1c5, 0x73223a92,
+    0x5a5d069c, 0xedb81e57, 0xb8f029d7, 0x387e14d3, 0xc91a9eb0, 0xea840e33, 0x6621dda2, 0x61e6823e,
+    0xfb591bbd, 0x70f5669b, 0xa1bdb4f3, 0xf29e8df6, 0x059c6725, 0x1b8f8bc9, 0xdb0c7033, 0xe0834db7,
+    0xa7a401c4, 0x9d38a586, 0xb4660406, 0x934af6a4, 0xa740c7ad, 0x4132a77f, 0x3c09a674, 0x34fb9423,
+    0x89daa1e8, 0x5249b1b5, 0x2c683e72, 0x072bed2f, 0x6698fc95, 0xfa34200c, 0x4fa7b42e, 0xd345371b,
+    0xa6432fee, 0xb9043310, 0x92e049ab, 0x550ae8c3, 0x0288d365, 0xc36f8744, 0xb4076822, 0x322f7a21,
+    0xff0c97cf, 0xd31a3a8b, 0x46dc156a, 0x736ca5c6, 0x26061767, 0x4fc62658, 0x4984af75, 0x80cc440a,
+    0x8bb881e0, 0x6069bb98, 0xd2a66fd5, 0xdb9ffb9a, 0x63c9330a, 0xe57e90cb, 0xee162807, 0x1fe38096,
+    0x4d9a1cd1, 0xfc749f78, 0x43e8d4ab, 0x40943cb8, 0x3513ef3c, 0x38ceff3b, 0xd001199b, 0x295a3b32,
+    0x6888c9a7, 0xe829e70a, 0x3faddfc1, 0xa778d00b, 0xffbcb4bb, 0x430a4fad, 0x521a86e0, 0xfbba54e0,
+    0x86072d00, 0xc3b5113c, 0x2857d879, 0xcddc3b5b, 0x9df44504, 0xa40fe919, 0xe7c3125b, 0x51ffcbc2,
+    0xe8aa10cb, 0x15df7100, 0xfe271463, 0xabd94ba6, 0x4c1da5fa, 0xc090c8c3, 0xb721db4a, 0x79d936c8,
+    0x14d2119f, 0xd7a26cc8, 0x7e11e995, 0xab988bad, 0x6b9b573a, 0xb15c1f32, 0xf73e3a81, 0x321df2eb,
+    0xfeb0b7da, 0xb194b1ef, 0xe008023e, 0x47c512e2, 0xa7bd96fc, 0x982996ea, 0x3286dfb4, 0x7ade1060,
+    0xc0760a9a, 0x5bcf7b2f, 0x0df98082, 0x9457d30f, 0x8926d2df, 0xeb1cb50d, 0x75003a22, 0x8eac8dee,
+    0x512258f7, 0x66df4791, 0xd0865ddc, 0xc24410a7, 0x39703ca5, 0xb55c8b0d, 0x732896ad, 0xad45214e,
+    0x9ea6fd99, 0xd7ff871f, 0xf6cdd476, 0xf0e5c79e, 0xede931b7, 0x909c940c, 0x8d659f94, 0x457f45b1,
+    0xcbe7620d, 0x9b0216c6, 0xe4bc8a1e, 0xbfb6a95c, 0xd45cb876, 0x334cc27a, 0xeebda3ec, 0xd1c64cb8,
+    0xe403bd37, 0x9dfbc1aa, 0x43bc8aac, 0xea9c4e63, 0xe6bcbae0, 0x3509f399, 0x7405e831, 0x9e72d3da,
+    0x65fe6001, 0xeafcc8a2, 0xad1b1034, 0x7343b572, 0xe500a06b, 0x5dc77f79, 0x24a07a99, 0x61ea3d47,
+    0x8eb8d0be, 0x35986231, 0x9886d957, 0x331f5f06, 0x9758106b, 0xe8425fb1, 0x99206405, 0x60dd6294,
+    0x31e60dd5, 0x981b7599, 0x79b46fb0, 0x1270d7fb, 0xd866d60e, 0x8a6ab7b2, 0x360a1a0a, 0x1fe9665a,
+    0xef856dd6, 0x74964327, 0x04ffc224, 0xc07f30f9, 0xc8c66763, 0x446b7d4c, 0xa6fac972, 0x378fc122,
+    0x26b460ef, 0xf700383b, 0x4e429fa4, 0xf8e5e320, 0xa39f5979, 0x7ac5a0f7, 0xca5a2b62, 0xe0b0819b,
+    0xd8ce6b51, 0xcfc8f723, 0xff3d3796, 0x8de132da, 0x1558a8ca, 0x80062d14, 0xa7c54bc3, 0x33fc6c8c,
+    0x175e3b04, 0x7f197d1c, 0x9e94c0aa, 0x1dcea8fb, 0xe6931ce3, 0x5fb32c2a, 0x351ebeb1, 0x1e4849ac,
+    0x246edbcb, 0x30c2d3c7, 0xd9aededc, 0xa94d2c83, 0x58f9f673, 0xed8b90cc, 0x36ff1029, 0xb2295a17,
+    0x6b73d9a1, 0xd2e3b2fd, 0xadbb4670, 0xcafd4a9d, 0x601bb21e, 0x9da961cc, 0x7c355b04, 0x4d748069,
+    0xadae8498, 0x51007b2c, 0x44de9ccf, 0x6fa84bf0, 0x81460fec, 0x139c682f, 0x8f21105f, 0x63ef85cf,
+    0xaebc2fdd, 0x4e8ff01f, 0x7904aa8f, 0x2e62ac41, 0xa225f4ad, 0xe345f348, 0xf060b1fb, 0x912ca877,
+    0xf7821441, 0xc465c6bc, 0x87b31eea, 0x3b9602ec, 0x7555d3bc, 0x146f93d0, 0x3dfd4e08, 0xc008b2ee,
+    0x3498e58f, 0xe0d0a022, 0x972f6e35, 0xde9f9067, 0xf40f75fc, 0x35011855, 0x159ccc7e, 0xe3a3580b,
+    0x6a730135, 0x9e828e28, 0xb35741ab, 0xe64aa30a, 0x39b4efd8, 0x8ccf8ced, 0xedc861da, 0x0460e6e2,
+    0x76617f13, 0x98ee94e1, 0x1a1d3c88, 0xa6e0eca0, 0x8ccc2603, 0x4d6deb96, 0x0c41d8d4, 0x9c69b053,
+    0xd22b8ea5, 0xcdd0bae5, 0x61a57e51, 0x560d796a, 0x72d816ff, 0x6c254ba4, 0x6ffea71b, 0x13edef9e,
+    0x9ee49f4a, 0xf724b0fe, 0xcd2c83d1, 0xf0447cf9, 0x18932691, 0x79073964, 0xe30017eb, 0xc63253c9,
+    0x774790b6, 0x35afc29b, 0x06fa58eb, 0x25456e8b, 0x76242325, 0xa125ec47, 0xc08cf0d8, 0x86512bf7,
+    0xa019f9cf, 0x788e7042, 0x61f867a5, 0x18e53cfa, 0xc930b497, 0x4335aff6, 0xc1738bbb, 0x7f62f924,
+    0x1dc780a0, 0x17dfb199, 0x04fa62b3, 0xf5d04ca2, 0x4337535d, 0x14a7781c, 0x91ad7c4c, 0x45acf372,
+    0xdf7718b7, 0x621e44b1, 0xa7d53263, 0x98d7c202, 0x812c9e21, 0x79b502e8, 0x9f67faf3, 0x8ccf1e6e,
+    0x2473461d, 0x9b542876, 0xe7abb656, 0x3933df83, 0x9343c692, 0xb80c2204, 0xb3e7e32c, 0x9dacd7ad,
+    0xd7193ae5, 0x73dcbf73, 0x67b12b9b, 0x1224768c, 0x6cb3a83d, 0x4b3f3970, 0x1e84a246, 0xd4ab7120,
+    0x3926304a, 0x837e2e82, 0xdefca4ad, 0x3335dd95, 0xfb4d20ef, 0xbdf32ce1, 0x22aa69fe, 0xfc7d335e,
+    0xa135bf53, 0x5a589d07, 0x76b52209, 0xdaf3c64d, 0x6286188a, 0x23be2ade, 0xde61e245, 0x8ac0f877,
+    0x32b7000a, 0x1710e3ff, 0xdd5d8d8f, 0x61af85d0, 0xce825ac0, 0x773f8cdf, 0xdf6e8fa6, 0x031afcbf,
+    0x0f9a9822, 0x38fc882d, 0x1593122c, 0x5dcecd35, 0x9e4fff53, 0x5944a8a8, 0x156d2db8, 0x29582237,
+    0xc62c525d, 0x5ab7a744, 0xf895d018, 0x0ffa8f11, 0xa7316bb4, 0x1cd156cf, 0x2a38bfd9, 0xd45e21d3,
+    0x84c027f4, 0x8e205592, 0x3c36e3fa, 0x869e4a67, 0x07d35400, 0x7efcdbd2, 0xc4420453, 0x5f019274,
+    0x7393a155, 0xd78f5d1b, 0xc2c314d1, 0x570d8c9c, 0x674dd660, 0x3270427e, 0xcb60a9d2, 0x48123349,
+    0x6398af48, 0x31caed3b, 0xe7e5700c, 0x63aa25ff, 0x8887e074, 0xc6a231ce, 0x2a705e7e, 0x22c483b2,
+    0xd83ec455, 0x79c79bbd, 0xa9cc6c3d, 0x841f4d17, 0x4c2b0326, 0xd9918be9, 0x2ebb1237, 0x00ed7f3c,
+    0x5ab9b077, 0x071c2170, 0xee5b8a37, 0xcd1a2cbf, 0xe392de25, 0x07cd8a15, 0x65dea7ca, 0xaa419bfb,
+    0x3515d389, 0xd440d83c, 0xb673441a, 0x8f5fbd21, 0xafed59b8, 0xd0382a2c, 0x30339476, 0x2b34934a,
+    0xbcea0b9c, 0xa6443fe8, 0x6c1d25f2, 0x030088f4, 0xe05fb5d8, 0x61806b95, 0x05a2d531, 0x4549502f,
+    0x9d730a14, 0x92af2fc7, 0xd386e213, 0x8ea0bb61, 0x90f8ac59, 0xed636536, 0xb86da8ac, 0xba43b64a,
+    0x9b8bf52c, 0x57c28b46, 0x62e249c7, 0x8533fcca, 0xbf4ebdfb, 0x808981f2, 0x6c50e36d, 0x397b94e5,
+    0x06a5839f, 0x8ff9aeef, 0x222dfc12, 0x8872fdf0, 0xf306aaf1, 0xb654708b, 0x08ec8031, 0xa08ce65d,
+    0xc4b1e190, 0x12c1e0b4, 0x0821dd1c, 0xae649383, 0x6c0e126e, 0x885649c5, 0xd9d27d90, 0x14d8c9ff,
+    0x272320c9, 0x29866ac3, 0x2447cc70, 0xf153b3e4, 0xfeb4f0ff, 0x8f3b0631, 0xcd26dd2a, 0x4388938d,
+    0x16402471, 0xb5ad4135, 0xa2a6ccd9, 0x500766d2, 0x202e9976, 0x52a5137e, 0xfd5ead16, 0x8d0f1364,
+    0x33693485, 0x2920b495, 0x8d0e3722, 0x34f22e8d, 0xc26dfcd9, 0x9cca0ceb, 0xe19c1633, 0x5f19db6e,
+    0x1d23835f, 0x10be942b, 0x1844cd1a, 0x708dce8d, 0xa0ca441b, 0x6acffcf0, 0xd932c21e, 0x6e99d251,
+    0xdff4a5e3, 0xf960efca, 0x4b5910af, 0xa60aef0d, 0x31abe3a6, 0x5d59d2ca, 0xa4ba28fd, 0x1dbdea96,
+    0x80188f73, 0xc7860977, 0x7450e338, 0xa0b9fe27, 0x149cadc9, 0x3195d794, 0x040c5570, 0xfc7d99da,
+    0xbb7b7951, 0xdc8788e9, 0x5417ae40, 0xb59e7124, 0xb04c9136, 0x8f08b6f7, 0xf531872e, 0xfe4d2a94,
+    0xd7e49c51, 0xb93af701, 0xc0ee4635, 0xc199e838, 0x07556839, 0x4b556233, 0xa69c80c2, 0x582e76c5,
+    0xfd45e9ae, 0xc7d123da, 0x64fd60d4, 0x19ed5c35, 0x62f1b9fa, 0x854e83f2, 0xace99b4e, 0xd4ca8590,
+    0x9951dd3b, 0x6af109dd, 0x37613b61, 0xa0a445fe, 0x0cab69fc, 0xd1772c1a, 0xe5ec67c8, 0x891f6b48,
+    0x5c864d3f, 0x60598acb, 0x5e4d8f74, 0x3dc975d6, 0x7a664162, 0xb00db3aa, 0x09f76d93, 0xc15d26af,
+    0x3306d365, 0xff1ab231, 0xc2128076, 0x6146daa9, 0x4893cb48, 0xffcbff87, 0x8b9caa7a, 0x98d175f8,
+    0x00000000,
+    0x48db563f, 0x1bd9d6a7, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000003369993333393829974333376885877453834204643052817571560137951281152 */
+  { 0x00000000,
+    0xe7db0bdc, 0x894603ba, 0xb783d54c, 0xdaa1f89b, 0x75e76c8e, 0x7131c8fe, 0xc6f7a113, 0xdc35109f,
+    0x268b0f80, 0x7e169bde, 0xf24622b2, 0xd16992f4, 0x3296a32c, 0x84d951b1, 0xa260134a, 0x54fe50eb,
+    0xbfb29edb, 0xbe63ef6d, 0x039c0079, 0x2d276376, 0x788f8071, 0xeab1e107, 0xcc903d20, 0x871bb356,
+    0xc1301575, 0xe6950ddf, 0x1f8dd9cf, 0x75ba7122, 0x89bfa25a, 0x096af537, 0x48b757c3, 0xc736a283,
+    0xf1e8fca7, 0x54c19c0a, 0x98f98931, 0x00e08fdc, 0x51a1e78b, 0x67aebd9f, 0x451cce1a, 0x4ab585fd,
+    0xa7551262, 0x251bccd6, 0xa0af0195, 0x51e1713c, 0xba6313ed, 0xfe108add, 0xff0360c1, 0x966f8c16,
+    0x0df1c947, 0x882af41b, 0x0bce3acf, 0xdaa5d4e9, 0x24560e05, 0x29c77c39, 0x88098382, 0xaf464a47,
+    0xa0b0a8f0, 0xe410c81a, 0xc90e6b2e, 0xcd546698, 0x00175709, 0x5849b40a, 0x5356aecd, 0x8469af12,
+    0x1494d66f, 0xa86b52d7, 0xee875368, 0x3cb9b51c, 0x6615c894, 0xcf570e39, 0xd543f839, 0xda5da90e,
+    0xe27b2a32, 0xddc30ee6, 0xdbd01e28, 0x2104c7e7, 0xf5bca7bd, 0x87746f8c, 0x6a076a1e, 0xc2b4f1b9,
+    0x93caee67, 0x2978023c, 0xbef7fe4f, 0x6793fcd6, 0x58d9cb1f, 0xc6db1812, 0x0c01a8f3, 0xed2fee59,
+    0x51fdcc51, 0xbcd5d732, 0x4474f18b, 0x3fa0352b, 0x3e3daddc, 0xbec88355, 0xa82aaec1, 0xc063a586,
+    0xe633aaa0, 0xece41315, 0x97e58eb4, 0x7e64b57e, 0xff0b2cc9, 0xb9789d52, 0x3a2b4dd9, 0x42f0a95c,
+    0x520d8275, 0x154f7cfd, 0x454559a5, 0x4ead1146, 0x4d57c5ad, 0xaee31fca, 0x131f9326, 0xfc3206d1,
+    0x2edbbc08, 0x79800d17, 0xc7d77885, 0x5043153a, 0xaae5c277, 0x387dc5a0, 0xe2e9a0ca, 0x0f2cd347,
+    0x29297fdd, 0xe5f2b69e, 0xbc3e5057, 0x108c0118, 0x888fb41a, 0x1e44b9fa, 0xa95f1313, 0x22850025,
+    0xd7642939, 0xb00c6b15, 0x5cbea624, 0x2af3bb69, 0x8eb18b2c, 0xa2a908cc, 0x758b32e0, 0xd3654e66,
+    0xc5c364ce, 0xc2da471e, 0x48144442, 0x1702838f, 0x5fb5fb8d, 0x25f0e39b, 0xaf131976, 0x038c4d34,
+    0x87f92530, 0xf94c5a5b, 0x62adf8d8, 0x6de12109, 0x68935524, 0x329cc843, 0x639e006d, 0x8742ee89,
+    0xd6475f13, 0x23b17cf0, 0xdb5e8d73, 0x42b18508, 0x740d4515, 0x5ee29c0b, 0x244bae12, 0x7017ffc3,
+    0x341fa2c8, 0x9b255ca0, 0xcd90ccaf, 0xb0ffd9b2, 0x5c87eaae, 0x2130a6a3, 0x90351ae6, 0x5007d4f4,
+    0xc57a2378, 0x307618a4, 0x311edf51, 0x707be95a, 0x47020479, 0xdefd679b, 0x71cb9ad0, 0xcfb421aa,
+    0x9b9a7343, 0xd8a35bb7, 0x8ca219e1, 0x906410e0, 0xee95f061, 0xff601ee6, 0x61f6a605, 0x4f73694d,
+    0x7556072c, 0x76f82d64, 0xee098700, 0x3c0e0aba, 0x66c2fe19, 0xe45b8d80, 0x0d249e87, 0xd03d45b6,
+    0x6f25f955, 0xea676d93, 0xf119a404, 0xeaa5049e, 0x61931350, 0x03c08f12, 0x18150550, 0xba16756a,
+    0x8b306d70, 0x25405860, 0x4dd3cf52, 0x6449393a, 0x9afd04f8, 0xc917df62, 0xc1ef3ace, 0x7565ce33,
+    0xf6cdd3ef, 0x415b54d9, 0x49aa436c, 0x65766e74, 0xcd71892d, 0x6786c390, 0xc4c7b4b2, 0x4fc44bdd,
+    0x8fb937d5, 0x43ff373a, 0xae343314, 0x943c25e8, 0xb27aeef9, 0x14a077dc, 0xb36785e2, 0xca4925e9,
+    0x4cd6f979, 0xa85bf342, 0xc989b8b5, 0x2666fa87, 0x4a4ed5ba, 0xb3c1b03b, 0x0bdf1db4, 0x723e07dc,
+    0x320dc8d4, 0x29a6860a, 0xd6c8731f, 0xe34958d2, 0xb02ca283, 0x7644eb9f, 0x09c9eede, 0xbc52fc5b,
+    0x7c6a7505, 0xa961f783, 0xa78c7374, 0xc3c48c02, 0x942e3a00, 0x6910a7d6, 0x8c7697bc, 0x1aed2f4d,
+    0xc9e17044, 0xc528080e, 0x0e6a952c, 0x79d5abe6, 0xc47a0725, 0xacc739c0, 0x07424adf, 0xc1e58931,
+    0x28b5c56b, 0x7f722244, 0xab846817, 0xe269c85e, 0xceff45b2, 0x1608f32a, 0x62e183c1, 0xcf8fc80e,
+    0xc74f3531, 0x3db65d76, 0x4c38c558, 0x9da1a172, 0x3057f865, 0xc4a438c7, 0x28e5fd76, 0x62a5c03e,
+    0xc9927fdf, 0x2394e6bb, 0xcb051aea, 0x7c85fc33, 0x04b81fb6, 0x7e26db24, 0xa9a318e8, 0xc7b95e07,
+    0x45a2fc89, 0xc945e7e0, 0x95c0221a, 0x0d3488c9, 0xf1cbd88e, 0xb4b8e496, 0x23146ea7, 0xafeb886f,
+    0xfbf748aa, 0x34ea0567, 0x9afc2569, 0x2ae33b25, 0x8394ea52, 0x417dbda9, 0x8df43928, 0xaf632cb7,
+    0x287cdd09, 0xba7244fe, 0xcc9a6bcc, 0x20299dff, 0x58731bb3, 0xe9bd99e4, 0xaa1f5691, 0x7d184682,
+    0x0309e67b, 0xa0be78fd, 0x16b0b9ec, 0xeeeaeede, 0xdb41b22e, 0x127decdf, 0x17dba70b, 0xa43974ff,
+    0xa24f2930, 0x0fe652e4, 0x6ebc57be, 0x49a74267, 0x8c7e2f11, 0x318566a2, 0x41635b3d, 0xbb98d6e1,
+    0xac5fe578, 0x1734e87a, 0x7b6ed2e7, 0x39180cc0, 0x7468a942, 0xc6654323, 0xd461bd77, 0x6b866a1f,
+    0x05e5e494, 0xdbe7d53f, 0x4bc2d25c, 0xd526e4ae, 0x9786cab1, 0x269747d7, 0xf06ab4be, 0xb7c879cc,
+    0xdca007ae, 0x3c22813e, 0x8cf58c0e, 0x43f2fea3, 0x67e80f74, 0x79f2d17a, 0xf213cebb, 0x43b78a84,
+    0x909f93c1, 0x96c7f344, 0xac01866d, 0xaa398ba3, 0x7046b954, 0x82233a2d, 0x48fa55ea, 0x6b8f58d1,
+    0x3445155e, 0x6713cfde, 0xa8495687, 0x2e2533aa, 0x1afe5ef5, 0xabfca97f, 0x60f23910, 0x05fe8445,
+    0x4bfe2b01, 0x0509f27c, 0x2f35bb50, 0x8d56fb0f, 0x0527d9e8, 0x9556dc4b, 0x5964db78, 0x456c0afd,
+    0x9f77ceda, 0xcd2baf89, 0xf16fb2c2, 0xa0b59d18, 0x64ee4393, 0xac81cbc3, 0x0399ae70, 0x56fb065b,
+    0xf2b5790a, 0xbd387601, 0x22a5ea23, 0xffea263d, 0xc11a4ba2, 0x5d1c5211, 0xb440844b, 0xc980ee14,
+    0x71aace5e, 0x9485ec58, 0x810bea49, 0x46567d99, 0x60f93f2f, 0xa1321faa, 0xf498bb7f, 0x9a929b47,
+    0x799ac2ad, 0x94952a3b, 0x0eca8c54, 0x1533315a, 0xb0299afe, 0xcc845041, 0xfddfaab1, 0xab04c8a7,
+    0xe521b822, 0x04d54635, 0xb4b68ba6, 0x12b8567f, 0x014fb519, 0x777f7b83, 0x57bd0b52, 0xa9fe3a1a,
+    0xae7036f4, 0xd0d3788f, 0x41362248, 0x860620a2, 0x98e97417, 0x56a5299a, 0x9d736e1d, 0x7f61377b,
+    0xdcffb6a3, 0xe9766963, 0x8ae3991a, 0x00ad6e22, 0xe81089fb, 0x8dd8428f, 0xd20cdc62, 0x7fa4f7f6,
+    0x7232c1c3, 0xe73e49c0, 0xdb09814d, 0xd9754492, 0xefd4473a, 0x9a30f377, 0xb5f4c02a, 0xeb8dcb72,
+    0xc94b9f6f, 0x12772f41, 0xb570cf59, 0x91e7c6e0, 0x85a79aa0, 0xa1c501b6, 0x74bdea18, 0xc7b424f0,
+    0xed618d77, 0x0eb8f036, 0x7b5d026a, 0x45e940d8, 0x58a3747a, 0xb5d3271f, 0x3c9daa62, 0x5661becb,
+    0x6c7e4ce2, 0x91fefedd, 0x513e7dfd, 0x87cb0fdc, 0xb15821af, 0x0d81b901, 0x94565c46, 0x1b37d585,
+    0xda61a46c, 0x7bae99e7, 0xc3544618, 0x62e404ad, 0x3d760c6a, 0x1b92b3ac, 0x01a0a69a, 0x21436668,
+    0xdaa653ca, 0x9866b029, 0x0f47924a, 0x6bb49980, 0x889e48f5, 0xc6764f75, 0xbdaf90c7, 0x825e889f,
+    0x4332a0fd, 0x5bc9fe67, 0x9a34cd3c, 0x8d309f9a, 0x838bb587, 0xab86d88c, 0x64ee1d81, 0x19577363,
+    0xb2c66c30, 0x70a7ae16, 0x6d3d9a2d, 0x7eeca8e9, 0x1f53ba49, 0x80dc59ee, 0x24f2e5f9, 0x6aa1078e,
+    0xda0158bc, 0xa67f1be3, 0x4769fdaa, 0xaa067f2a, 0x530e21df, 0x06a33cc3, 0xa31fb152, 0x842c5b4b,
+    0x03dc5d0b, 0xfc0f648c, 0x99f87370, 0xfc25d08e, 0x48cbf340, 0xe1cd59bc, 0xcfb51936, 0x7a0c90dd,
+    0xb7d94913, 0x42d9f413, 0xba9e685c, 0x6674c10f, 0x05324e0e, 0xed21df99, 0xaaed29d8, 0x9e258f4c,
+    0x6b34a19f, 0x27af74ba, 0x2fe26635, 0x99b354af, 0x788f8dd0, 0x75268afe, 0x545f1547, 0xb3901a42,
+    0x84690a14, 0x316df084, 0x665528ee, 0x7f09da26, 0x5e2bd52f, 0xb8712a30, 0xfe78349e, 0xa3b5e38d,
+    0x76624bd4, 0xa337c8ed, 0x0881f331, 0x05881413, 0xf881c711, 0x9b1e57da, 0x5fc8099a, 0xcf394624,
+    0xe27fe8aa, 0x5c2cfef9, 0x83f255a9, 0x0b93dbd6, 0x291ca815, 0x7d56f070, 0x79142a8c, 0x1ac096dc,
+    0x69f2c86f, 0x6202bc59, 0x661f2af5, 0x8589e12c, 0x0a19408a, 0xc8f53f00, 0xf5196e12, 0xafc8fcce,
+    0xff5f837b, 0xc8b244dc, 0xcb36d8e6, 0x7529ebb4, 0x50c62abb, 0xd084409b, 0x2a441d71, 0x902740d4,
+    0xb41b164e, 0xeb4a8cdd, 0x1d4153b7, 0x26ce5238, 0x9b860c6a, 0xa2914bba, 0x45e6eabf, 0x4d5c6c8d,
+    0xb74277bb, 0xc4fdc3f3, 0xc570ef8d, 0xe4467916, 0x6906753a, 0xab7588e2, 0xa2dfa452, 0xae26f541,
+    0x7cb6b7db, 0x9715ce80, 0x8931027b, 0xa1890c6c, 0x7de6e4f7, 0x594a3943, 0xe9c8fffd, 0x38ba6c2f,
+    0x55f02a2f, 0xb3b3a07d, 0xa06291e3, 0x409176c0, 0x7850ee10, 0x8e7ab042, 0x38034e37, 0x2685631b,
+    0x8a4f02c2, 0x1e72bd8a, 0x75a7ee71, 0x9411c14c, 0x4327f2c4, 0x9ad07e6e, 0x70e0338f, 0x3714f93d,
+    0x5cf827c3, 0x28d19481, 0xba4718ff, 0xab015f82, 0x9c8814ee, 0xc3962d3c, 0x35e074ac, 0x7937c8f4,
+    0x95b24c7f, 0x7c7ea0d6, 0x6193db66, 0x44466d59, 0xbae8608a, 0x1fab1925, 0x936d24d0, 0x80167eed,
+    0x92bb8085, 0x2ed7f573, 0x97adb0ce, 0x091787b8, 0x2503e978, 0x82046efa, 0xad53f947, 0x809ff87f,
+    0x69d3641c, 0x41a79a1d, 0xeb6b1b33, 0x1ea95ff2, 0x9dd0aed5, 0x3d59b3c8, 0xc977246a, 0xa7dc389e,
+    0x0bf3a52c, 0x7a8c150a, 0x91769ffe, 0xfb40a04c, 0xcd6e8d40, 0xcca7d0ab, 0xe7d0f2ca, 0xfe4be698,
+    0xfcc9fd9f, 0xcccde42b, 0xffb0e32c, 0xea956329, 0xc7559c97, 0x00837100, 0xbf52559b, 0x7657b4a2,
+    0x9b3f787a, 0xa1f755d2, 0xb5ab23cc, 0xc61deb66, 0x6daeb99f, 0x456cd4a4, 0x7cf91633, 0x043ca7e8,
+    0x54202234, 0x6d393c74, 0xa822644f, 0xc76d1017, 0x24b6a276, 0x6ba50746, 0x58f550a8, 0x2683fd08,
+    0x4c4f4439, 0x0b5cd269, 0x2b529c9d, 0x1dc49840, 0x7366e061, 0x23b913fa, 0x54247fbb, 0xf8f18e30,
+    0x2778b427, 0x6fc84ac9, 0x09f85e93, 0xe5e9934a, 0x9d0e8d12, 0x1b768010, 0xb9dc4141, 0x4ba9bf6b,
+    0x30ff3589, 0xee94c707, 0x384f19a9, 0x95948edd, 0x5077f556, 0x8b37b619, 0x2cd22123, 0xba06c090,
+    0xde756c12, 0xa744d0fb, 0x9566bc77, 0x27955933, 0x5a457d94, 0x47dfcdb3, 0x0c78c23f, 0xd4cf17d9,
+    0x48f0bd5f, 0x716f8bba, 0xa9baab68, 0x7bc581b3, 0x2eea0ae1, 0xb2c1b0a8, 0x403e4b46, 0x518ea9fe,
+    0xc9df65b4, 0x3513a04b, 0x78c407fa, 0xb8e346eb, 0xd3749ae2, 0x09892e9a, 0xd0776de0, 0xe378fe9e,
+    0x7ba549fc, 0x9c89fa28, 0xae21355d, 0x0ff279ed, 0x2138767e, 0xe98e2cbf, 0x5f37e02d, 0xc573319d,
+    0x769ea865, 0x360993d8, 0x42ae6a4f, 0x20c7b847, 0xb2d84d06, 0x928c6e8d, 0x6a2972ca, 0xfb78d5cc,
+    0x002bbc33, 0x7176dfb2, 0xfc102898, 0x874f4edf, 0x0434ad96, 0x2c8ef4e8, 0x6b099c9a, 0x1aa6845c,
+    0x782725a9, 0xaf556ce2, 0x71d7976c, 0xe1cb43ba, 0x20450192, 0x9dd4b93c, 0x192283a6, 0xa3787514,
+    0x6b5f787f, 0x49d49095, 0x4161e452, 0xd5b7250f, 0xf0270aff, 0xd965541f, 0x746e7e3b, 0x8f4a0c4a,
+    0x8abf8b53, 0x9105c4d6, 0x8ba96040, 0x257fb280, 0x81c2d678, 0x31198182, 0x3a88ec4e, 0x4677d13d,
+    0xe04a761c, 0x873329c8, 0x0f4561a0, 0xe57f2425, 0x880689db, 0x47aa566d, 0xf1f50f89, 0xd5ed5b60,
+    0x5673e5a9, 0xaa816220, 0xbb296741, 0x2a27cf07, 0xd8dab36e, 0x34c1f8c3, 0x84afa452, 0x5cf58c50,
+    0x844fbdc7, 0x4c2cb37a, 0x3239cd03, 0x3961204c, 0xe9967fc8, 0xcfef8067, 0x9288f422, 0x80acce72,
+    0x26a307e6, 0x165ead06, 0x6bb1b972, 0xe0ccea9c, 0x1bd10b6c, 0xc3b0f94b, 0xc612b9ff, 0x72ae5ebf,
+    0xacaf64cb, 0x44071873, 0xb8ef7e0d, 0x003affbf, 0x0f05f937, 0xc1f63f31, 0xf9a707ea, 0xd80b361e,
+    0xfd32981f, 0xb6cb469f, 0xce2b214d, 0xf3ca1437, 0xe20bad06, 0x9e4dccae, 0x3c74d691, 0x5313f42e,
+    0x407b0f02, 0x2fca349f, 0x73d798a1, 0x9b31601b, 0xb1eff263, 0xe8d14dcf, 0x011b51c4, 0x4b9f6645,
+    0xafeec11c, 0xc574c888, 0xb6478de4, 0x8f8467f3, 0x11a3921d, 0x57d1255a, 0x88b90989, 0xfd68cd27,
+    0xf0c94243, 0xb021ad3f, 0x3c8fa5d0, 0x5448d296, 0xb61078f5, 0xbc9ddf08, 0x4d38dcbf, 0xd07f8b02,
+    0x062b240c, 0x8d54d676, 0xe34777fe, 0xca63232a, 0xf8d3e08d, 0x98f1c983, 0xb1e353cf, 0xcbbbd78e,
+    0xecbd181f, 0xbdff4f73, 0xa9307735, 0xbf791248, 0x37be511e, 0x79934d4a, 0x641768ff, 0x8a5fe444,
+    0x45f13833, 0xdfd65e9e, 0x43e4898a, 0x47f1e5b9, 0x86894c91, 0x8ad78501, 0x1ba7f116, 0x4483350a,
+    0x87e0e2cc, 0x1b55d91b, 0xc423b36f, 0xd878ee54, 0x435f9d2b, 0x4f1356e1, 0x692343ee, 0x8af933c8,
+    0xf0400889, 0x7e816971, 0x9f712ebb, 0x458e4ee8, 0x4f64c23f, 0xbb250a90, 0x0f8132c9, 0xbb0814d9,
+    0x8b38202a, 0xcaa28dcd, 0x6c1cf451, 0xa74acea0, 0x4e84c927, 0x0f124269, 0x2e9d9c5f, 0xa2c3d59a,
+    0x158ca607, 0x5f6e0ad1, 0x9211123b, 0xfb103b4e, 0x7942e452, 0x59efe123, 0x333a639c, 0xfc79444c,
+    0x597a158f, 0x773aed6e, 0x8565bee5, 0xf6a0c518, 0x9bb56fe4, 0xdd02d3a0, 0x29852548, 0xb0c3cb8b,
+    0x78033cca, 0x669737b9, 0xe712c670, 0xf47b29ad, 0x55979c14, 0x9222f677, 0xda9089be, 0x30682158,
+    0x9b960fd4, 0x7e75824a, 0xba8315a2, 0x6106f45a, 0xd604c6d2, 0x5601b012, 0xfd0e068f, 0x2edab486,
+    0xe54a969f, 0x889c402e, 0x95033fb8, 0xa7210e93, 0xa0e216ff, 0x6f102ea5, 0x6466bc79, 0x2bae5bc0,
+    0x432a3744, 0xffd9fe7b, 0x73e84e07, 0x18af3e96, 0xba844d5f, 0x448565b5, 0x6c7917a0, 0x8fac9360,
+    0xcd4717a0, 0x6abad3bc, 0x772fa8f7, 0xe759f00c, 0x5ecb7e98, 0xdab0f111, 0x794729f2, 0xe04cfde6,
+    0xf4210367, 0x093dbe8e, 0xcce9c8b1, 0x268869cd, 0x442fa0b2, 0x5e9e5b39, 0x0fa94329, 0x5a95c8fb,
+    0x0e61c0e0, 0xac9b64a7, 0x06e04916, 0xea0a1c35, 0x5ae3629e, 0xd0326923, 0x6449cdfe, 0x17ea5ce7,
+    0x65bf26e0, 0x586b6ab5, 0x2476ce61, 0xe818d5d2, 0xe9f1cc9b, 0xfccc266b, 0x6ad34b1b, 0xd313e4fc,
+    0xb5bf857a, 0xdbc21e58, 0xf265a621, 0x2189214b, 0x854b96c6, 0x4ad43dab, 0xe01d3426, 0x386c5234,
+    0x911d3aec, 0x3d796978, 0x995b1a85, 0x7368f877, 0x255f3808, 0xe171dcfc, 0xff752b42, 0x0963ff8b,
+    0x5d1586fc, 0x9aa0af3b, 0x94361c70, 0xc1501593, 0xad603722, 0x59c40bcf, 0x567a4bbc, 0xbeae3cc6,
+    0xaf910162, 0xa5b4fd36, 0x2c599a46, 0x1d9ba27e, 0x35867e1d, 0xee95b09b, 0x484f559f, 0x02e741a0,
+    0x9b54e814, 0x82cc4e74, 0x3cc7075d, 0x7d67d2e4, 0x98d82112, 0x2866a6df, 0xbbf70619, 0x5023759a,
+    0x59c299aa, 0x4de0fd5e, 0x044ca827, 0xcd41f2d7, 0x0d57a84a, 0x72608528, 0x5fda4435, 0x8bdc1410,
+    0x00000000,
+    0xa46dab1f, 0x8deceb53, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000001684996666696914987166688442938726917102321526408785780068975640576 */
+  { 0x00000000,
+    0x62181c1f, 0xcf9f7472, 0x3bf6d5b3, 0x15d10727, 0xb7f88fb1, 0xf445e174, 0xa8e44b86, 0x519d5c25,
+    0x0dbade66, 0x33d2fb23, 0x30554421, 0xd8894683, 0x8f533d1d, 0x79b60770, 0x245d758a, 0x4b2a9106,
+    0x654d5bbc, 0x69010e97, 0x83755f97, 0xad7c3e23, 0xee89a418, 0x0ba83e9f, 0xd676e0cb, 0x6c737567,
+    0xf638031e, 0xfdb30a61, 0x9ff0ff48, 0xa9862aaa, 0xc326ff77, 0xd8547816, 0x06e442ef, 0x6c7b8976,
+    0xa5c0dd82, 0xc3a53e17, 0x56dd911b, 0xaab52096, 0xdda73070, 0xb629a68f, 0x7c694cb8, 0x85a27961,
+    0xb8f81593, 0x31b12409, 0x573a7dca, 0xfc7456c5, 0x8bc2d0dc, 0x10305f19, 0xbdd19ccd, 0xc4b1e0a5,
+    0x21906aef, 0x18958162, 0xa2e6ccfc, 0xca771e99, 0xaef8afad, 0x9ed8ba2f, 0x3286235f, 0xde005eca,
+    0x5516ceb9, 0xc6d62041, 0xa7c8c1f8, 0xd84a579c, 0xc061b63c, 0x9008a5cc, 0x19c174e3, 0x19b8ba94,
+    0x98d3f981, 0x7700edd2, 0xd66831cf, 0x13320740, 0x14c585a9, 0xb6dfa6d4, 0xd8543e8d, 0x8da7c654,
+    0x761905a4, 0xea9a4bc6, 0x06e9de7e, 0xe71216f5, 0x0fdd9e1b, 0x440e3ec9, 0xacd8b75b, 0x2fc438d2,
+    0xf501e10d, 0x20cdb77b, 0xb44315f5, 0x2532e00f, 0x845df401, 0x0776f3db, 0xd591b0cd, 0x9ab21aa7,
+    0xff478147, 0xd682ae4e, 0xdf97c30f, 0x643069b9, 0x4d6d8b8d, 0xc983aee8, 0x0b08ac59, 0xae7ac08f,
+    0x7b467165, 0xbcd9a100, 0x649fa123, 0x93520d5b, 0x77af11da, 0xa7b5028b, 0xd5798278, 0x87abc2b8,
+    0xd8027a83, 0x777cee50, 0x22456b69, 0xd72dacc8, 0x23897b61, 0x4a950f2d, 0x31913b1f, 0xc4d77453,
+    0x17a2d8a4, 0x607e3ac6, 0xbc0b469e, 0xe064d0cb, 0xdb1dd0ae, 0xe50646a2, 0x0c231807, 0xd020b46c,
+    0xd4f0b121, 0x55baf524, 0x6dad20bc, 0x02799488, 0xa80a3cd0, 0x62ad953a, 0x5adcd61f, 0xeca33966,
+    0xa0bce305, 0x81bfee60, 0x0386ee52, 0x9e992e36, 0xbf51e2c0, 0xd1553e19, 0x4c8a2df8, 0xdc1eb972,
+    0x1c65eaab, 0x9f0704f9, 0xeabb02a7, 0xb6406e5d, 0x97f731f1, 0x15fb589b, 0xec0b9556, 0x046ee694,
+    0xad684acb, 0x3885abbd, 0x254e0540, 0x48cd36f0, 0x8eccbecf, 0x97686145, 0xa652e6de, 0x3764796e,
+    0x657c0b4d, 0xe91a3fb8, 0xb58f790d, 0x726817f6, 0x210277ae, 0x1367662e, 0x9ec0f6c5, 0x9c449535,
+    0x07334b48, 0xa7904083, 0xd6269d64, 0x576196ae, 0xc0544898, 0xcf2af462, 0xd1d6ec2d, 0x427f94e7,
+    0xa6cdaa36, 0x559b63d0, 0xc0c73ed7, 0x04076f45, 0xc0f7087a, 0x75d08f36, 0xcd73b34f, 0x9e554d9a,
+    0x7cf8f491, 0x021c2456, 0xc2b78eef, 0xa42d45cd, 0x9ab0eaed, 0xe9c71cdd, 0xf9878ecd, 0x5aba3bbf,
+    0xdb35e5b6, 0x4fce0428, 0xd20af52a, 0x16c78c96, 0xeffbc4dc, 0xdee80fb8, 0xcfac31cc, 0x772520c0,
+    0xb5809ee0, 0xce962f85, 0xa5f76b89, 0xc8167515, 0x73903d08, 0x5f524bcf, 0xc64d03f9, 0xb3bfc84a,
+    0x47cf3f56, 0xbc097dad, 0xf40704c3, 0xfe8d643f, 0x6fd09041, 0x83a8297b, 0xffbaf0ce, 0xe24e0400,
+    0x83ea764d, 0x1fde54cb, 0x96fd7c9d, 0x501f3fe0, 0x500e404d, 0x0e0cc820, 0x3cef76a1, 0x946b8e18,
+    0x6a6ab0af, 0x362f778c, 0xe283390f, 0xd750da02, 0xca58d6fd, 0x91590662, 0xf678dcdc, 0x235b4fc9,
+    0x9486e68d, 0x23041420, 0x9a631b7b, 0xc42f8e29, 0x4649caed, 0xa7711433, 0xe1a1eff2, 0x26321fb6,
+    0x4bb330c1, 0x2c7e1f22, 0xb1d7b09e, 0x91f0ca42, 0x96cebf27, 0x7ad44d77, 0xefb9cca7, 0x8bd66916,
+    0x63b14e28, 0xd367c9c6, 0xb0297b5e, 0xb34621ff, 0x16aca3ee, 0x12e7e746, 0x3e497a97, 0xb8d19099,
+    0xe59f3cef, 0xaaca0c35, 0xe0c7f00d, 0xdd31baf2, 0x8553541d, 0xec099e5b, 0x55209dea, 0xf58a9d26,
+    0x8136fd37, 0xbce0638f, 0x65ee2021, 0xa44dd1e8, 0x848b3492, 0x27d2717b, 0xa7002fd2, 0xfb335aac,
+    0xe6b01f6d, 0xa2f5c770, 0x9d155bf1, 0x13d14015, 0x1ed0153f, 0x8f43dbec, 0x4d39c884, 0x7fdf8859,
+    0xab46f653, 0xdb095514, 0xfbdebb85, 0x75897015, 0xf4639126, 0x99b7733e, 0x989f702a, 0x815c2c69,
+    0xeda438a5, 0xc3da1181, 0x175b683f, 0x2a93eb39, 0xbb01b87a, 0x7f14e7eb, 0x6c331432, 0xfa7d6a57,
+    0x7042f53f, 0x674f2087, 0x8da5479d, 0x5cf0a564, 0x553ee3c6, 0x79ef67ff, 0x001021c4, 0xf0f41fde,
+    0xe7b5fcdd, 0x94e3724c, 0x72dd3d21, 0xeb3e7844, 0x2ab15645, 0xe6ed189e, 0xf299acdf, 0x7f8a2b69,
+    0x337d6824, 0xd57be42b, 0x22fda25f, 0xcb79642d, 0xed7bbce4, 0x305251f9, 0x76704637, 0x01a8a48d,
+    0xac13bad2, 0x2e41a4eb, 0x91608248, 0xabbaae6f, 0x8b6b656c, 0xa8ab5b3f, 0x632920de, 0x2eb2a52a,
+    0xfef36bdd, 0x4cf2d709, 0xc9df789f, 0x3bcc7153, 0x2b7115a7, 0xc51dca71, 0x1f3472e5, 0xf9783822,
+    0x4ccba440, 0x54c73a1b, 0xb6fae4dc, 0x6cb68537, 0xce2db1b2, 0x59bf5d4f, 0xafb8c74a, 0x6b405da8,
+    0x000d2d5b, 0xea46c5b4, 0xf2911896, 0x654f3d34, 0xa885d57e, 0x8a0daaaf, 0x429dff9f, 0x42463de4,
+    0xeb5d0abf, 0x6c06f68b, 0xfbda8e6a, 0xeaf1f2ed, 0x0042b050, 0x80701a50, 0x1dda1031, 0xa663d126,
+    0x541ac827, 0x460c98be, 0x75a1946b, 0xa081da84, 0x0075d005, 0x42c59a9c, 0x7b68b3a8, 0x6fdb638e,
+    0x54b3f608, 0x69b9774a, 0x7d88855d, 0x7dfcefa3, 0x0958b7f8, 0x523870b3, 0x71e9ae04, 0x9132fd05,
+    0x9f980d18, 0x847d0860, 0x52abc1e4, 0x1aa9f23f, 0x9bc7b6c5, 0x0d9284bd, 0x159ffc89, 0x694e946c,
+    0x3e65b97d, 0x7e5e2e81, 0x5d3be39a, 0x32341a34, 0x8d120887, 0x47b2d340, 0x5c530d7f, 0x5bcad512,
+    0x29c069f8, 0x08494189, 0x506a574a, 0x7b9ba1dd, 0x6320f1dd, 0x85e750fe, 0x003a28df, 0xfedda539,
+    0x4eeb2f84, 0x79873c9c, 0xb4db6e4a, 0x23cecb0f, 0x3b9e5b95, 0x1bcbb77e, 0xfdea4ab9, 0x2639c280,
+    0x5dd20496, 0x4757de48, 0x30eb236b, 0xd6c895ff, 0x0b7621db, 0xd4a1dd40, 0x1a148854, 0xb57ce164,
+    0x53dba9ed, 0xe0bf03c1, 0x3f8dc3ec, 0xcaf2c532, 0xda6371c8, 0xca4e466e, 0x837e2cac, 0x157cfacd,
+    0x0a67546e, 0xc6f44ad0, 0xed9b7296, 0x7685f506, 0xc3bf6824, 0x061afc8c, 0xdfef1d70, 0x14d2af2b,
+    0xaaa8e28d, 0xb0bf2428, 0xc52e3654, 0x5b5c9a8e, 0x794c3934, 0xc0d724c9, 0xf2616d03, 0x8c8048a5,
+    0xf8768d78, 0xd5af51d4, 0x50890b76, 0x073c3b29, 0x3c3067af, 0x1f4cb72d, 0x2aa81535, 0x57b95b55,
+    0x9663b300, 0xbbaaffda, 0xd8552e02, 0x13dd13e0, 0xad50c2c9, 0x02f7e2fc, 0x843172bd, 0x8ae1e741,
+    0x3ef59bd7, 0x53a1e8e1, 0x3b0354b7, 0x126ff1e5, 0x0aa77146, 0x996bcff6, 0x219af422, 0x4646aee8,
+    0x3f857241, 0xed879fdd, 0x2fbd6959, 0xc997cd8d, 0x0315c130, 0x00091ad5, 0x241fa0dc, 0x23f39b1d,
+    0x565cb158, 0x6be2f426, 0x3285796f, 0xe216294d, 0xf9343b7c, 0xd405b45c, 0xd7417188, 0xef2f8eae,
+    0x34df5625, 0x9da735be, 0xd167de95, 0x77ec2851, 0xdd1e7783, 0xace252a4, 0xbd43aee7, 0xba259d0f,
+    0x88bc3662, 0x22ae73c3, 0x44e280e6, 0xc3d28a8f, 0x5abaaa14, 0x0444a2b3, 0xeda93521, 0x6d278a7d,
+    0x27ebfa90, 0x666761eb, 0x9e821a47, 0x6876d39c, 0x70c7d575, 0x41ff4175, 0xc795ec9d, 0xde1b0a64,
+    0x2f75b49d, 0xf84a1568, 0x4c5cb882, 0x8e6ccc02, 0x4669e665, 0x8ec78a4a, 0x3ae7c6eb, 0x2b7438a0,
+    0xd72ecd8f, 0x5528f253, 0x40a2c9b1, 0xfe6527fe, 0xb1ca24b4, 0x61679b42, 0xa82752ec, 0xe036c004,
+    0x1635c5ef, 0x7ce4c660, 0x354ebc7c, 0xb4e5e881, 0xa1042437, 0x31dbe434, 0x2cee1929, 0x938af207,
+    0xd196aef5, 0xab2031e9, 0xacf4b4f8, 0x7f628692, 0x31f44bc2, 0x84ef3ff1, 0x5c511075, 0xc4e286a1,
+    0x159b316f, 0x9f758025, 0x5b1c7631, 0xfdcb4299, 0x1deef261, 0xe6e5855c, 0x35e8bb94, 0xb9ffcb10,
+    0x96fab6f9, 0x9ddb8be9, 0xa8e995b7, 0x48488423, 0x33ec3c56, 0x5b79d002, 0x6679548a, 0x6233a44f,
+    0x6a598d75, 0xfefe4bfd, 0x2fc79038, 0x6420d462, 0x71d0ed60, 0xdd163238, 0x6c49daae, 0x3a7454ab,
+    0xd4a04cbc, 0xd9c65ae0, 0x6e40b667, 0xef082280, 0x3836d1b5, 0x30b69bb0, 0xf8a094e0, 0x32ed011d,
+    0x956a19d6, 0x64eb9199, 0x17361588, 0xdfd9588e, 0x24f3f62a, 0x633f27a0, 0xc6658463, 0x5c4d859f,
+    0xf9ef782b, 0x582f6b66, 0xc024f40d, 0x10e72c80, 0x5d5c4b8a, 0x73b4aed2, 0x2d085875, 0x7da9a269,
+    0x45518824, 0x04354da3, 0x35553376, 0xf98cd0f3, 0x8f094269, 0x0dda624e, 0x29cc1b55, 0x72d2625b,
+    0x88639c9a, 0x8a1f2c64, 0xfc7daba4, 0xbc5d55b9, 0xd4509754, 0x85452293, 0xcec064fb, 0x513062f3,
+    0x2b2a9d13, 0xc15a7ebc, 0x58675930, 0xa37cdcf2, 0x1c0557c8, 0x64cbf802, 0x535bc3a5, 0x55e427de,
+    0xb904acdd, 0x7b463fd3, 0xad8ae21d, 0x4485fa69, 0x8cdc397c, 0x8b36165a, 0x63e7d24d, 0xef2632b9,
+    0xc0424a33, 0x9f6e453f, 0xfef24344, 0x571ee718, 0x28039808, 0x5dce05f0, 0x79d14b81, 0xe9af5ca0,
+    0x26742ef9, 0x0e9fd7df, 0x8993e41b, 0xaf043b0f, 0x655326e4, 0x8d231eab, 0xc1995b74, 0x536d78de,
+    0x95379532, 0x695efc35, 0xd5b1f5d0, 0xd3218ea4, 0xad297d0c, 0xd446ee41, 0x9857ee8c, 0x04d3985a,
+    0x25bafb1a, 0x02eb24f0, 0x43557e92, 0x6cbdd8bf, 0xcfa52e55, 0x6ea35e62, 0xdb9e7254, 0x2cc3e872,
+    0xfada336b, 0x834768ee, 0x459c74ab, 0x6ee16c87, 0xf6677f78, 0x21c293d8, 0xbd311fd5, 0x296dd074,
+    0x5eec0aeb, 0x45cdfce1, 0x4af3d1cf, 0xb8c1f5c4, 0x4336547d, 0xefa2057e, 0x944fbf58, 0xa55d0bde,
+    0x83e82079, 0xee5c4f3d, 0x218d71af, 0xf419b459, 0xac90df3a, 0xf6ea2251, 0xd1f220f2, 0x996696d0,
+    0xdd0ee416, 0xc4ce6e29, 0x65688155, 0xfc855def, 0xbf3f1402, 0x6e279cf8, 0x12fcc88a, 0x4b69bec3,
+    0x42a70f27, 0x8bd10c66, 0x58494486, 0xfff7c397, 0xfe224a0e, 0xfb0b34f8, 0x6e38a62b, 0x0a5f51f0,
+    0x2997d1a8, 0x6ae4d13d, 0x6802e226, 0xa15d1f65, 0x52d7e48a, 0xff218d4c, 0xb25c696f, 0xb20a0ca2,
+    0xf0658537, 0x43c9092a, 0x90727eb7, 0xca49137e, 0x5a3724c3, 0xa045f0b2, 0x81f3c5b9, 0xb0eca0b3,
+    0xd561b8e5, 0xc9d2de3b, 0x301f13fb, 0x7d47e84e, 0x2b3ea5ad, 0x85161434, 0x68fd6f63, 0x30ca0b3b,
+    0xf12a9f7a, 0x6e455f01, 0xee2fa4d1, 0xb1fead1c, 0x3146d610, 0x0e617ec2, 0x2e3d2505, 0x1cd2f21a,
+    0x78b14e4c, 0xc9c93d81, 0xf36ed37b, 0x885d3803, 0xcf5f2c6e, 0x8265af5b, 0xb473a349, 0x58915a32,
+    0x5aeb360d, 0xd775cdb5, 0x753fcbe4, 0xc3313328, 0xa0bae70c, 0xf2d93422, 0x988d2a6a, 0xa97d216a,
+    0x2336bfb8, 0x281942e2, 0x28f68ec3, 0xb46bc239, 0xb2d9291b, 0x3452593d, 0xde934788, 0x93a18676,
+    0x15fa90be, 0x2d306164, 0xc22d2658, 0x1757b58e, 0x3379ef39, 0x082acfa8, 0x7ead00dc, 0x295c41ec,
+    0x81e9d7e3, 0x89bbe172, 0x582d60f8, 0x0a0f6765, 0xc5161aee, 0x5859e4c5, 0x3dde48e7, 0x094b659a,
+    0x1c28f535, 0x0a2a986a, 0x3c173867, 0xbf15df29, 0x281cefce, 0x35552754, 0xd35d85a3, 0x2e1f2545,
+    0x1ce7aee5, 0xc1aafb42, 0x66c533d8, 0xa1acd2cc, 0x2e1c45ac, 0x2a66e2b9, 0x6d02f59b, 0x08e4ee3b,
+    0xce303cf0, 0xf3c22136, 0xff9e54e3, 0x0b1128c9, 0x8a96f32c, 0x64140433, 0x38269e46, 0x59d380b9,
+    0x30f7bd8f, 0x83359ec0, 0x6036cae1, 0xb85554e5, 0xce8686f0, 0xf4f18759, 0x3ba4f8dc, 0xedf2f51f,
+    0xc12995e3, 0x6d38b925, 0x41e8524d, 0x0368ce06, 0xe4579bea, 0xe6553a99, 0xc91d873a, 0x3169d306,
+    0x51b776d6, 0x04fdf6c0, 0x837e546c, 0x4eaec49b, 0xa49b42a4, 0x3a8df4bb, 0xcd2bac8b, 0xace5ebf3,
+    0x2df8d019, 0xe105b5f0, 0x5ab96421, 0x8681a737, 0xa064d710, 0x19ef6cd7, 0x06299972, 0x7d2b1bf9,
+    0xb74bbf5b, 0xf90e8425, 0xbafb9608, 0x1139e199, 0xecfb3ac6, 0x8ed9d0b9, 0xe00ddf2c, 0xc5f0db98,
+    0x929f1fb4, 0x37ef4fd8, 0x0687ddc8, 0x2c062831, 0xe3f40217, 0xe669d2e5, 0x2668a9ea, 0xdb387670,
+    0x0ad672df, 0x8d32a2e8, 0xcb4d315d, 0xc716b617, 0xb661e60e, 0x5286efa7, 0xdfdc9f34, 0xf86bc74d,
+    0xaca18a4c, 0xdfadea92, 0xc335ef7b, 0xe1278630, 0xfc174c32, 0x0f28ba2c, 0xc68c72a3, 0x6054f074,
+    0x4157115b, 0x571b09b8, 0x8f0af768, 0xd676fcbc, 0xb5ffb531, 0x72ec172a, 0x419ed893, 0x120cde39,
+    0xed3b2ac5, 0x2649e816, 0xd8b13e07, 0xe2fca946, 0xfc165bb0, 0x8d51f371, 0xa083339b, 0xf68d9216,
+    0x684de784, 0xb4781d94, 0xab3bebbe, 0x49cb74a0, 0xb6b06860, 0x1bfd9aaf, 0x863a187b, 0x44387508,
+    0x8bd48eba, 0xdbdd9bcd, 0xba57207a, 0x9852a3a4, 0xe8ce4cd0, 0x4303f89a, 0xbd946112, 0x42e99bf8,
+    0x498ca408, 0x2c712cbf, 0xa223468d, 0x69f015d2, 0xd18d7852, 0xcc43d41e, 0x72861670, 0xb8fd876d,
+    0x14df64ed, 0x38fd60ca, 0xfd66838b, 0xe4c86285, 0x0afe91c9, 0xde7e4f09, 0x3425d262, 0x486b596f,
+    0x7fe62c1b, 0x3e35eb19, 0xc0a71b17, 0x4d23a17f, 0x226bd596, 0x6b3e5cf0, 0x24360d77, 0xb449fc50,
+    0xd6840e3e, 0xb312646d, 0x23c00dd5, 0x902cd926, 0x82351c5c, 0x28b3f648, 0xe1ef8532, 0x7cbcd40f,
+    0xee78dc8c, 0x656e7311, 0xdac59a7e, 0xf5938b9c, 0xe5118671, 0xa7ffead9, 0xfe8636d0, 0xa41b25e1,
+    0xa11b002f, 0x5f4b4860, 0x82a04e29, 0xc58ae62a, 0x6cb14b53, 0x2d29a0a7, 0x1117533a, 0x6052dac0,
+    0xa3b98cfd, 0x0de2fb40, 0x4a09d587, 0x652bc565, 0x00e0137c, 0x219aca0e, 0x1ef0c32e, 0x9471e52d,
+    0x92a47a25, 0x210ed1f4, 0xf998cf04, 0xe4aef28c, 0xee833777, 0xd6f97198, 0x5358e21c, 0x61c5158c,
+    0x93953d40, 0x281db3d6, 0x764b47c5, 0xa3ae876a, 0xb5053ada, 0x8ed796ac, 0x87286127, 0x2a6f2855,
+    0x651ee5fe, 0x4db524a1, 0x0bc5d61c, 0xfde83e76, 0x5bab93bd, 0x212611ff, 0x881d3021, 0x6421ac22,
+    0xecbfb401, 0x49b19423, 0xb6b7f3c1, 0xc2e7ef2a, 0x50825d33, 0x5523be1d, 0x8e8a830f, 0x507c338f,
+    0xe9ea8eed, 0x24f07b35, 0xdb3fe18b, 0xced0e322, 0xe85f42e5, 0xfdd785a2, 0xdf694a9e, 0xd720aa6a,
+    0x767a7b2d, 0xd5b707f4, 0xa33d32de, 0x9901a0ae, 0xd5a3cbc1, 0x014c1475, 0x14d7751d, 0x4a54d550,
+    0xcd72a93e, 0xb403522b, 0xb3e1b3f7, 0x5ec87d58, 0xe12b73ed, 0x65e6a982, 0xbe696e64, 0x7a4801a0,
+    0x29dfda57, 0x4722cf92, 0x93236613, 0xa9146715, 0x43ee8c9b, 0x016d08a4, 0x6d050f2f, 0x2cdca144,
+    0xba8a4f42, 0x1ccc7283, 0xa5c5f82d, 0x8b9f2a85, 0x50435c10, 0x8f57c310, 0x55159a4d, 0x1e778bac,
+    0x82b3b75c, 0x4e0803e2, 0x4ccb14ea, 0xc7f69cc5, 0xa4a8f0f4, 0x11107908, 0xaa05fb52, 0x85cc6aa3,
+    0x00000000,
+    0xd236d58f, 0xc6f675a9, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000842498333348457493583344221469363458551160763204392890034487820288 */
+  { 0x00000000,
+    0x80f06101, 0x52421a10, 0xb0e8a2fc, 0x0dd6200f, 0xb33a7c2a, 0xd7429170, 0x9316d9b1, 0x34b0f4c5,
+    0x138768e5, 0x70aab8d2, 0xbea036c2, 0x08ec547c, 0x8ffb4b19, 0x1aab5dce, 0xce585c62, 0x1f869b7b,
+    0x117ae11c, 0x6571c7d5, 0x17b90664, 0xfdaf4a2d, 0x181ef5a8, 0xa7c0ef49, 0x31ba8c42, 0xfbac736d,
+    0x0c29e13f, 0xf57a98b7, 0xe8faca48, 0x325235ef, 0x8e6e7986, 0x795dc653, 0x2cc693ea, 0x7689414e,
+    0x1f494635, 0x24f998cc, 0xdefcf551, 0x59a67106, 0xe0515761, 0xd4ba75f4, 0x5cce085c, 0x3cca085e,
+    0xf850e4f1, 0xb29b82c2, 0xa185a7db, 0xfc1aa2f0, 0x9a189a6f, 0x9ebf7e30, 0x50d3ecb9, 0xac739b46,
+    0xb984dce6, 0xc5bc487d, 0x33db8854, 0x09243f11, 0xdfa5e3c0, 0xfafdf05d, 0x0f53214d, 0xc5fb3646,
+    0x8bcc55eb, 0x731e7509, 0x1c3f6852, 0x7f650abb, 0x55b5e7bc, 0xb8e6cfa9, 0xca46aa97, 0x4b53e624,
+    0xec30c86a, 0x1c73a4b4, 0xebdd10ad, 0xa3f97179, 0x6203a9a3, 0x9575dc6f, 0x7dbc433a, 0x4cb86a62,
+    0x5522ac49, 0xac843fa9, 0x6dae8851, 0x3a38acef, 0x6271cb34, 0xfa6e12f8, 0x12b18e21, 0x9f7031c8,
+    0xbb162213, 0xb5901a7d, 0x7f702d64, 0x95d25401, 0x4f68afb4, 0x425b6e07, 0xf41700e7, 0x6d889171,
+    0x8c769e6a, 0x3addf1db, 0x7237200f, 0xe920b9b7, 0x43f35dec, 0x62eff2ab, 0xb1ccee01, 0x53b487c0,
+    0x4b284f19, 0xc3975ebe, 0x962c4152, 0x27593d99, 0xaddca65c, 0x923be511, 0x22e21f5d, 0xa557b267,
+    0x108f66a8, 0x4f0ab232, 0x9c688f0f, 0x73a712d6, 0xa5e17b30, 0x261d3e8d, 0xc9b34994, 0x2a009b1a,
+    0xccb25074, 0x3d195639, 0x369ee075, 0x0c4259b9, 0xb7b350ac, 0x53236045, 0xe637c838, 0x9e8625d3,
+    0xb0cbaca1, 0x26298eac, 0x4c1cabaf, 0x7c44ec3d, 0xe9915b81, 0x80885f12, 0x4459f4c6, 0x09cf4f27,
+    0x2836391d, 0xd9a6aa72, 0xc6aafaf8, 0x7d21d6db, 0xeaa472f1, 0xfa77637a, 0x002b6bef, 0xe6536bff,
+    0xc17cde3b, 0xd6c5ff89, 0xac125195, 0x2b419dac, 0x3aa36e24, 0x9487ebf0, 0x2b2a59b6, 0x6cc916d1,
+    0x5c716867, 0x03f01172, 0xfb03360d, 0xd2494f77, 0x1e389991, 0xcebbe3b6, 0xb4483526, 0x85740f88,
+    0x5b3bcec1, 0xf7dc427b, 0x93f322e5, 0x9060d93c, 0x8ab99536, 0xe3e5765f, 0xb033194a, 0x1729c16d,
+    0xe52faac7, 0xaa47b2ab, 0xcf15ef6b, 0x360fb5b6, 0x74057a05, 0x3b0c1799, 0xaf32e06c, 0x0128971c,
+    0x6d658e46, 0x30c6c0e4, 0x3e51e825, 0x4a2bfc57, 0xceb5fbf3, 0xf5c5aced, 0xc9f844e7, 0x495526e1,
+    0x9503e2e8, 0x7b8f922a, 0x4d8de25c, 0xf130501c, 0xa9c4becd, 0x3bab5f9f, 0x6e3ef36a, 0xc589c57d,
+    0xd6a854b6, 0x876cfd04, 0x94dfddb1, 0x69c1ca1e, 0x344027d1, 0x94729131, 0x82fc6cda, 0xb965d226,
+    0x9f39617b, 0xf6edd416, 0x07f08f5a, 0x7286969b, 0x419a4d67, 0x3177172b, 0x47e2660c, 0xbbd9b345,
+    0xaac2f3a1, 0x7d83e31f, 0xd0c4d98d, 0x2e6e22a7, 0xcd51cf4d, 0xa85ffdda, 0x9b1ae0f0, 0x54cf2870,
+    0xdbe691bc, 0xd8f50fa2, 0x0bc5d0dc, 0x1945f47d, 0x40d0c689, 0x56db536e, 0x992c3c8d, 0x14f5842d,
+    0x3ae11528, 0xb15de781, 0x9ebc7d7a, 0xb665595b, 0x4a0c2408, 0xeacc53b2, 0xfbb80d1f, 0x3304f452,
+    0x2f02ea9b, 0x9c5fe01f, 0xbcdf39a5, 0x4282ba5b, 0xf08eccde, 0x0480afd0, 0x9e9ecc3f, 0x54b81fb6,
+    0x7f552e5e, 0x11bfe11d, 0x9f906e2c, 0x350e2f56, 0xf6628e9b, 0x17a3b6ea, 0x00bc7bc3, 0x46fcef73,
+    0x5237ad71, 0x8bfa1c43, 0x50d4d9aa, 0xbc3ce0c6, 0xe85b6888, 0x2bd4638c, 0x9c382125, 0x6d9dd832,
+    0x4062f2dd, 0xd8ab22fc, 0x4725825b, 0x6088ffdc, 0xfb788248, 0x0f5a3951, 0x7e0fa833, 0x6d77080e,
+    0x382ae22d, 0x5edbfe60, 0xbd312a44, 0xfea65ae2, 0x7c8f31c0, 0xc424b8f8, 0xbe384bdc, 0xb4815bbb,
+    0xcbf15a67, 0x0e280c9b, 0xc291121e, 0x4a687ef9, 0xe017b994, 0x41b2dbdd, 0x54c5ee6e, 0x42018e15,
+    0x8e6dd564, 0x5ddc4035, 0x0d91dc5b, 0xfda372c0, 0x525cf898, 0xa9c8dee3, 0x42c87be8, 0x667e132b,
+    0x99e98249, 0xead0e283, 0x16cb4499, 0xf4b9dd55, 0xf4ad11a7, 0xd7f89301, 0x865ff952, 0xb3f24010,
+    0xee5cecec, 0xe50c6258, 0x050d4bf2, 0xa3b87673, 0xf406057e, 0xb8423cdb, 0x0f69dc78, 0x786a34bd,
+    0x2fd57570, 0x6aed6046, 0x9a768516, 0x85b2906e, 0x92a7cd55, 0x0e99f583, 0x912f90f3, 0xa189cbaf,
+    0xffe620c4, 0xeef3ddb9, 0x045be313, 0x80bc082d, 0x5fc31560, 0x8f4fb171, 0x4ebfd090, 0x9c693e23,
+    0x7431cab4, 0x2a15d13e, 0x22ffbfc6, 0x5d3984d1, 0xb6bbc493, 0x3b061a36, 0x14341600, 0xefd673a3,
+    0x838a15e4, 0xcc16709d, 0x4f497ddf, 0xf62141d2, 0x4e428b5c, 0xe7eccec1, 0x4176ad45, 0xdcd8bc31,
+    0xa5b17d2c, 0x11e4b6af, 0xefb71a7f, 0x8abc7133, 0xb73d50d7, 0xc2ce9077, 0x41421c7c, 0xec8925d9,
+    0xcbe927f1, 0xc3b54aa4, 0x7369156c, 0x29ff225c, 0xb48087f9, 0x68775e1e, 0x8c65d88f, 0xf94717e7,
+    0xede09411, 0x9e6bb7f6, 0xdf08e28d, 0x51b9cb40, 0xded34185, 0x0c9161e8, 0x756ca5d3, 0xd94abf19,
+    0x64ba8c16, 0x81743dcd, 0xec2f2b7a, 0x982237ec, 0x842774f9, 0x6ed3913c, 0x75a22140, 0xcd53cd46,
+    0xd2aed25f, 0x18867806, 0xe1c2ec2d, 0x324d018c, 0x67457356, 0x21a0852e, 0x5d9f285b, 0x040966b3,
+    0xccffe892, 0xbc35e3e0, 0x0aec88bb, 0x45b91a16, 0x5b466a6c, 0x3b2c1703, 0x00242428, 0x57e624cd,
+    0xd7e11ba8, 0xf21890aa, 0x92fd635a, 0xd501be7b, 0xcf2a1047, 0x55fd4406, 0x7be2f1fd, 0x4077b7e8,
+    0x0cee54c0, 0xc1e97fee, 0x3842b631, 0xcd2278a1, 0x2af1f243, 0xf9168c2f, 0xe03869b7, 0x02f515c5,
+    0x9ade6e39, 0x31e11d2a, 0x8539fd1e, 0xbb490fe6, 0xded9781c, 0x4147a32f, 0xd934dc58, 0x0f6331cf,
+    0xf976a993, 0x83e43a18, 0xbd336b62, 0xdd7c3191, 0xcebf12c9, 0x36fba78e, 0x46ced44e, 0x5c7aff60,
+    0xbdc41651, 0x827cdfce, 0x1e96305c, 0x01240f60, 0xe06a1136, 0x1e8658b2, 0x068a7224, 0x9660c5ab,
+    0xe558466c, 0xffe1e1f6, 0xfb67b6d1, 0xe4a29b6d, 0xe8870fed, 0xb25e4307, 0xed0bc10f, 0x00932fbd,
+    0x87b15293, 0x41974fd3, 0x13fee6e6, 0xb2006dcc, 0x5fde6e0f, 0x27d9d4f6, 0xe711eb82, 0xf06bf199,
+    0xbec2cc9e, 0x67ef70a7, 0x47e46e2c, 0xea1b7181, 0x0c7fe4cb, 0x25b5a703, 0x5875d52b, 0xf4efe6ef,
+    0x6bb352c0, 0xa5ba3f97, 0x3845c6b6, 0xe003775f, 0xb59fcb0a, 0xb6626cc2, 0x8e3965bb, 0xd87fa368,
+    0x7ea7ac0e, 0x9ad1837a, 0x287839aa, 0x2397df87, 0x96dba285, 0xa5676a3b, 0x7791e9b5, 0x48799f1c,
+    0xf1a5d5e7, 0xcd4ebe59, 0x0a7aee4f, 0xc80e0f2f, 0x5bb1e940, 0xb3670a9b, 0xfaca90de, 0x4add7d61,
+    0x55daeaec, 0x3ec8c1d6, 0xc1ff394f, 0x10af0a9d, 0xad64e1b1, 0xd3959025, 0x22485565, 0x30b5b362,
+    0xcc154718, 0xb2ef86ad, 0x7d7dab30, 0x47c9a4ae, 0x814e5ab7, 0x2a97d2d9, 0xa3ecde7e, 0x14936b64,
+    0xbec2606f, 0x05e4d3e2, 0x6a5874d5, 0x02a6e7b8, 0xbfcd0220, 0xf1ff81bc, 0x316f215c, 0xac1a0dac,
+    0xc06d3ba0, 0xe5d11de8, 0xc6780851, 0xf8c42de1, 0x939c5880, 0xcc73a9ce, 0x27f246c0, 0xfed7e142,
+    0xe4486ba3, 0x85e8f609, 0x5fd300cc, 0x576db981, 0x7b4d5ddb, 0xd2e3e34d, 0x76d3b282, 0x33b22907,
+    0x144bdbea, 0x4223b591, 0xc67fe83f, 0x2a80fc4e, 0x18b81026, 0xaf1335e9, 0xf552e5e9, 0xe195e8b7,
+    0x8a2843c7, 0xfa38616e, 0x90472719, 0x268d86b7, 0xb5608626, 0x2e576c1b, 0x583500c1, 0x56d621b0,
+    0xc3722b4f, 0x6644e499, 0x3afb5071, 0x34ab6519, 0x16b662d7, 0x7c003f11, 0xfd79c261, 0x085ea016,
+    0x09aa8a18, 0x8a5906a2, 0xbfd17c3e, 0x9294ab0a, 0xb34e939e, 0xe2c6e72d, 0xfe1a6884, 0xb256de5c,
+    0xde2ca5f4, 0x29d02586, 0x3a041761, 0x943dac50, 0x35ed3d43, 0x38c4d22a, 0x0e1f77f4, 0x131719c7,
+    0x156f0f0e, 0xa605e4f5, 0xab0c2fbe, 0xd9235f8c, 0xdda6b0ec, 0xe086fe2c, 0x2bdeb715, 0xee29aee4,
+    0x4e0e9468, 0x63a29233, 0x4170867a, 0x1126a75e, 0xf22c5560, 0x339c7120, 0xa8cff18b, 0xae7a4c1c,
+    0x415ab8cf, 0x6f9f27ae, 0x7545f022, 0x8bc4aef7, 0x026a0020, 0x5df5c2f5, 0xb18e5efe, 0x7e09685e,
+    0xb23ab4bc, 0x2be8d25d, 0xf351ae41, 0x3eafcc31, 0xf00a7018, 0x18a6717c, 0x685f952b, 0x4ad752e8,
+    0x71ae4cd5, 0x296f4bf2, 0x4d93bf15, 0xc33fbfa7, 0xe016324f, 0x8461e94f, 0xdac43182, 0x1f6f7aec,
+    0x7194908c, 0x1911806c, 0xfae99579, 0x856033aa, 0x71fd0b96, 0x04517b60, 0xb1e077de, 0x3e3c20a7,
+    0x581e4440, 0xf3ba22b7, 0x5a204236, 0x5e384136, 0xed95995a, 0x73dae8f7, 0xb80b3c3f, 0x350c8a81,
+    0x43018260, 0x9bea1575, 0xd43a8dba, 0x20e74c7c, 0xbb3bd269, 0x3d5121ed, 0x25862deb, 0x66f95b97,
+    0x2d40d3e8, 0x29d84be1, 0xc63b5145, 0xd7fab85c, 0xfde926b9, 0xb7deb954, 0xab247c9b, 0xaea07c7d,
+    0x29db9cd5, 0x3941b21a, 0x076a2f5f, 0x1c7d181e, 0xdc395225, 0xdb64b353, 0xab9ac77a, 0xb0e2c551,
+    0xce13f04d, 0xb023a1c5, 0x765ef326, 0xb0ced05e, 0x0582a2c1, 0x05cd3294, 0x5715cbe6, 0x7a03a499,
+    0xe719827b, 0xda9cdc5f, 0x12e5fe5f, 0x8632c695, 0x01b5f2e5, 0x88e2a9a1, 0xc0ffbe44, 0xdfa2caa4,
+    0xc579c79c, 0x7da53784, 0xcb4edd6e, 0xdee174c0, 0xa4e3252a, 0xee1cbc38, 0xa5881009, 0x361027f2,
+    0x1d282cae, 0xc68561ec, 0xff6ecdd5, 0x28213338, 0x2114cf96, 0x883adcfe, 0x55541283, 0xf1e44174,
+    0xa1639f73, 0x801d6488, 0xc94af92b, 0x8edf5311, 0x60e8e0a7, 0x219373e1, 0x673f8fe4, 0x50775a13,
+    0x0caad60a, 0x65cab759, 0x5ca09e18, 0xd39bffe9, 0x89221329, 0x83e5560e, 0x4da94f80, 0x77725b8b,
+    0xa1c2f239, 0x084f9168, 0xb525173e, 0xd20ecaa3, 0xf4b3b4ac, 0xc0586a1c, 0x2bbec657, 0x5c7b04db,
+    0x9c519572, 0x751d1f60, 0xea1625f1, 0xc25c9192, 0x079771b2, 0x55b9ca30, 0x64412130, 0xc3801b11,
+    0x967a47b0, 0x7aab08e8, 0x2ed4fa90, 0xa5414660, 0x4e21df73, 0x3835085e, 0xabfc8114, 0x3e909506,
+    0xe8f3e903, 0x75f0ee86, 0x8506106d, 0x805926f7, 0x3633e8d0, 0x33f52deb, 0x1508fb49, 0xc255c870,
+    0x3cfae579, 0x22ad90f8, 0x08ae7744, 0x076f3a5c, 0x1d7f3f49, 0x1ceed95c, 0x739118ff, 0xc6660ea7,
+    0x862ec231, 0x34f2c249, 0xf55bb461, 0x78d60032, 0x2f0d1517, 0x8a0dd91d, 0xffb46f67, 0x76038e98,
+    0xab2e669d, 0x8033fd4e, 0x786c676a, 0x1ebf18c2, 0xfe04ea65, 0xe13af54d, 0xc4f55ed6, 0x6da883bc,
+    0xf6c7684e, 0xdd259fcf, 0x477f8522, 0xc9d89b05, 0xf73a86ab, 0xc1167853, 0x5a3fbbc1, 0xe37f9e1b,
+    0xd09eb474, 0x81d3727c, 0xd0977ebd, 0x3ddbea5f, 0xd900e8a9, 0x7122856d, 0xb9dc3d9f, 0x9ddc2ab3,
+    0xd64e19f6, 0xe1b47a93, 0xd38bd9a5, 0x17268778, 0xafc75f0e, 0xd0d781fe, 0x93e42e05, 0x8d35de69,
+    0xf8d32134, 0x064ab534, 0x7b01e4b4, 0x143836ec, 0xddefa9da, 0x67a48366, 0xd2371c3a, 0xe557721a,
+    0x72386061, 0x0446ed0e, 0x79f7b64a, 0xa6d547b7, 0x0603ec80, 0xfa4a269c, 0x9c676c8b, 0xb2884f00,
+    0x09ae571f, 0x80d4b471, 0x6a43e320, 0x6e70f3ab, 0x2033b0ff, 0x2b45d0dd, 0x27c711b3, 0x2667f7b0,
+    0x0b911dd0, 0x169ca9f4, 0x79c2a51c, 0x5ba111f1, 0x8a463277, 0xd6763ee0, 0x87b413ee, 0x9b714bc4,
+    0x874a9286, 0x1afb79e7, 0x4fd91fbc, 0x09c81b2e, 0x0592c046, 0xefedb532, 0xa29a3304, 0x369e37a2,
+    0x62af2aa1, 0xd5424911, 0x1885b304, 0x03fd1155, 0x74efbefb, 0x5892d41e, 0xa13e75b2, 0x992d0c73,
+    0xdb66db51, 0x15f9ce1f, 0xff67f751, 0x6050cd14, 0xbd7259f9, 0xcf071010, 0x3eabe081, 0x2d68a3f3,
+    0xeba7c3c0, 0x5a093eb0, 0x6291717e, 0xc96fc818, 0x645f34dc, 0xee3da050, 0x9e76d3f6, 0xf88a3aba,
+    0x9a12d1c1, 0xceaf4212, 0x15321c21, 0x02778674, 0x65a87d22, 0x8fd7ccd4, 0x4ef474ef, 0x0d9cd345,
+    0xdddeecaa, 0x90e36c8d, 0xca53022b, 0xc21f49d4, 0xd6572a83, 0x0e412815, 0x4e75cca6, 0x29c44ac6,
+    0xcf34f293, 0x68a1b030, 0xe491dc6f, 0xb522f866, 0x4dd58e7a, 0xabce8b98, 0x604511bd, 0xd255d10d,
+    0x3c4da78d, 0x60627c17, 0x26c9e871, 0x8ffa2171, 0x104b199a, 0x81486c5f, 0x907d8c43, 0x6e44cd01,
+    0x006e5e82, 0x39358825, 0xf5dd7062, 0xc32ba46b, 0x01d877cb, 0xa2b242da, 0x7a9dbfa2, 0x3e2c5391,
+    0xfc336e01, 0x9dffe12c, 0xf9d374a7, 0x4052f119, 0xe961e006, 0x3b7ed3cf, 0x12a91b65, 0x62b1bdf7,
+    0xb90a86f9, 0x04316629, 0xe0bd4f48, 0x36fda4cf, 0xa68cfe64, 0x93394bea, 0xcfd45e13, 0x87f501ff,
+    0x1ebd2199, 0x3a291e3e, 0xa425b199, 0xae20d67f, 0x7edb7142, 0x4674e4ed, 0x41be4dc2, 0x3528e6fb,
+    0x16f8ddf5, 0xbe1accab, 0xf59a39f9, 0x9d4c2a6a, 0xb355e994, 0x27d4efdb, 0xdbd89322, 0xb5424c0f,
+    0x425535da, 0x8e9db00d, 0xb6365c91, 0x50dc5f16, 0xad0100c4, 0x8330e4cb, 0xe935aa2e, 0x5a981e20,
+    0xd682dbe1, 0x58051114, 0xde74cc9e, 0x4820f83f, 0x58aff4c1, 0xbac14d57, 0x095141d9, 0xa25abc3d,
+    0x01cdae1f, 0xc70868d1, 0xff662d4d, 0xc085e01b, 0xd14a721c, 0xc54f86e4, 0x146aadf8, 0x8c57e608,
+    0x10f64264, 0x53203e18, 0x22bf9b05, 0x3386e941, 0x32949ded, 0x89b70a03, 0x8d09df73, 0x3bfe657c,
+    0x32aca535, 0x8e7cf1c6, 0x4a71c5de, 0xaf21c0ae, 0x26698d27, 0xe04faa89, 0x0f50d78d, 0x7312459f,
+    0xeaf890cb, 0x08c74282, 0x5a035268, 0x7a0eee24, 0x6763947f, 0xa4a1163a, 0x26a41783, 0xed3d45ac,
+    0x8d75e9b6, 0x0d72529b, 0x7bda2f04, 0x37ca182a, 0x1869a170, 0x944e253f, 0xa465c90d, 0x1e5e3238,
+    0xa069a83a, 0xc05b33d4, 0xee43e5c2, 0x472c82ca, 0xfa49b1b0, 0xa4e8f3e5, 0x4a7c0573, 0x25971f61,
+    0x3fb5cf60, 0x258ff242, 0x26a91032, 0xb7c9e3be, 0xf4c5fd73, 0xed95965d, 0x43954af3, 0xd8328d54,
+    0xa6cd5f04, 0x1f301954, 0xccc1b5e3, 0x5b6c15ca, 0x66222c10, 0x765baf89, 0x3f189ebf, 0x11451ceb,
+    0x383fb460, 0x0eca5faf, 0xa4686d34, 0xff92d479, 0x719de24e, 0xfecb41ad, 0x6d986fdc, 0x67e2a93d,
+    0xa2456221, 0x24fd2040, 0x73985eb2, 0x9db72370, 0xf4a139cb, 0x4d6ebd2f, 0x783e0315, 0xa7f921a3,
+    0xc1f78c0c, 0x24493a77, 0x2e0dab0f, 0xa6546a6a, 0x71d97392, 0x76999a57, 0x026e09a2, 0xf4dde448,
+    0xdddf0b0e, 0x2777216a, 0x5e5f38db, 0x908f3a8b, 0x80625d80, 0x333cc6cb, 0x6d6895c1, 0x67e937e4,
+    0x8807a3ea, 0xe64827b8, 0xf45cfe4b, 0xfcd4a896, 0xf141dd5b, 0x190c6e48, 0xc1dd85d9, 0x82ddfcdf,
+    0x00000000,
+    0xe91b6ac7, 0xe37b3ad4, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000421249166674228746791672110734681729275580381602196445017243910144 */
+  { 0x00000000,
+    0x1736716a, 0x3b1d9590, 0xd582c7d0, 0xd2380ec9, 0x55621277, 0x710b9cd1, 0xde35588c, 0x73dce3f8,
+    0x2e62770c, 0xd7d096a6, 0xb428cf48, 0x07bde244, 0xb850aca1, 0x09d83693, 0x81ec97a8, 0x41a3a89c,
+    0xf2754820, 0xa2696fc8, 0x79d4f9e5, 0x3df09364, 0xc993efbd, 0x0619d5c2, 0x0d0c074b, 0x6157973f,
+    0xe45a93cf, 0x2d0a2a30, 0x5c75a5ff, 0x8a4cbb72, 0xa23df1ba, 0x685687e4, 0xab3fb8f9, 0x271b2c16,
+    0xf77bbfee, 0x3f89f52d, 0xa8de45c7, 0xffa9f9ff, 0x459d533e, 0x52dd1bdb, 0x17f4a65a, 0xec40dd3a,
+    0xbf0ccc63, 0xa07d9ea6, 0xe10ca530, 0xe00773e9, 0x8f6fd63a, 0xdbf9c049, 0x07aaefde, 0x4648a073,
+    0x4a4615e1, 0x7dff80e9, 0xa0077552, 0xf1329acb, 0xe63ea950, 0x5e41835c, 0x692a784e, 0x838fbb2b,
+    0x020acb18, 0x580807ea, 0x3b5fbcc0, 0x37aa0314, 0xcdcf935c, 0xe28973df, 0xcd683f1d, 0x2c7ada1d,
+    0x34c6705d, 0x3489f598, 0xaf74afc2, 0xd90b9ba4, 0xa81e08e7, 0xca14120a, 0xe1445aed, 0x37464a64,
+    0x78c61c47, 0x5b61289b, 0xbca65fd1, 0xb2a9d62c, 0xba806cac, 0x0004466d, 0x0bd9ffcb, 0xb29bc781,
+    0x7fb83e27, 0x2c86d1f8, 0x9686db65, 0xc8415641, 0xaf6419d3, 0x34a7d127, 0xf09c7784, 0x9ee3a2e7,
+    0x403dfe9a, 0x1c1d02f7, 0x6a984edd, 0x12f73d01, 0xf58c3f85, 0xfff47360, 0x2bbb76f3, 0x3adb8d88,
+    0x876b90e8, 0x17d8e12c, 0x9c5b2ebe, 0x57b3a38b, 0x85f13b64, 0x494488fc, 0x1731b2ca, 0xb83c9ac1,
+    0xaf4bc8fa, 0x85273030, 0x45a84255, 0x918d466f, 0x24cc70cf, 0xbab8ab02, 0x96deb009, 0x9942d5ec,
+    0xaa7b5eb1, 0x2eb9ab4a, 0x10d94ab7, 0x800ced9d, 0x6708a424, 0xa0479649, 0x0bc2ad75, 0x3eb33db6,
+    0x02d8f09b, 0xcd8bb888, 0x986a3c7e, 0x74b4aebd, 0x208d0659, 0x0cd506a0, 0xdc2d5e7a, 0x13a7faea,
+    0x29823234, 0x628f7f46, 0xf79f6e68, 0x1fb5e24a, 0x3fb7c276, 0xcb5688c5, 0x2d652dd3, 0x5f1c6632,
+    0x6b886cce, 0x557eed7a, 0xce25c931, 0x94626e7e, 0xaf6bc997, 0xc2bf1bcf, 0xd79d7ca4, 0xf0cb3f75,
+    0xf6dcb285, 0xcc225a33, 0x4f12fd16, 0xe041365d, 0xfd9450da, 0xff7b8ba7, 0x0f0150ea, 0xf55315e2,
+    0x2a29d7b2, 0x081e760c, 0x63f3c365, 0xe586396c, 0xd7232e48, 0xfa0b43ec, 0x9b49cb6d, 0xc51be0f0,
+    0x5d0e9748, 0xfdb7226a, 0xfeef8b09, 0xcb2b0e95, 0x3cdb951a, 0xcb620577, 0xa7a73f1a, 0x06739dac,
+    0x1f0b2dca, 0x33c39bce, 0xae740c5c, 0x8b53463d, 0x6c0521e0, 0x07c8157c, 0xe5195dc5, 0x3cd28319,
+    0x75be7b71, 0xacc4c600, 0xe0c3c4e2, 0x04bdaef1, 0x07fcd9f1, 0x0b1cc864, 0x93e70fb4, 0xdec997ee,
+    0xbf6aef7c, 0xf041aa89, 0x4357f83c, 0xda90423c, 0xebfaa518, 0xfdb79ed1, 0xb9a1557c, 0x2d87e41b,
+    0xe1691308, 0xb43c67df, 0x7b411fc4, 0x16bd2851, 0x8d001107, 0xf2dd0e02, 0xc558e1b0, 0x4f214a08,
+    0xfe9b68f6, 0xfe56a260, 0x0eb7c1bc, 0xb4e4a56a, 0xa1430062, 0xca591ecf, 0x5f6e016a, 0x573f37d6,
+    0xd12063ac, 0x4575d073, 0x431d67f0, 0x23e1c545, 0xc2fcd03a, 0xa0be658c, 0x6f35e558, 0xd6b90208,
+    0xf6192519, 0x0d297727, 0xe8b8d20f, 0x77709752, 0xa8390716, 0x7b02fabc, 0x48fc0187, 0x4844f358,
+    0x45578a46, 0x48932615, 0x44f52c03, 0xe3f8c1e3, 0x68b117f5, 0x7d0cd3bc, 0x2b0fd328, 0x5b180999,
+    0xe1888a90, 0xc537189d, 0x1fc810d8, 0x157791dc, 0x6c884744, 0x8963b6be, 0x1832ebbf, 0x816afe7e,
+    0x951b7ffa, 0x67337c7c, 0x2b336e3e, 0xcd32e90a, 0x8a832f4f, 0x902296a3, 0xb1a08c83, 0x4b0ae2a6,
+    0xd783d0a3, 0x2a44c37b, 0x7072a325, 0x4b5dbcc9, 0x83c4456d, 0xd14a3734, 0xedbbe2a6, 0xd329658b,
+    0xb1702624, 0xd41fed43, 0x5dfb6f44, 0xdec4fa7f, 0xd9824f51, 0xde5d8f47, 0x7eebfddb, 0x5639a3af,
+    0xeceb84a1, 0x9bf59f4b, 0x9cb5a26e, 0x3509ef32, 0xe257b583, 0xa0a1ad65, 0x3abce2fc, 0x5402646f,
+    0xba9288cf, 0x6de1c866, 0xaa2b97ef, 0x2eff21d8, 0x20858d93, 0x0ddad373, 0xfc7aca65, 0x2b115eed,
+    0xc172370e, 0x514671e9, 0x5590d774, 0xa604e44c, 0xec7469e2, 0x4f748dd1, 0x703978b1, 0x4488011b,
+    0x9c516536, 0xcde27b28, 0xed27eea5, 0x626a9106, 0x27eb2bfe, 0x35454581, 0xde286b76, 0x93d14d25,
+    0x52557491, 0x8022bd41, 0x429bb0b0, 0x5972c8a2, 0x363c1962, 0x07a45dff, 0x2f3de780, 0x1809861c,
+    0xb2466cf4, 0x38144651, 0x56ba6862, 0x41ce782b, 0xd3f02b2d, 0x7683bd5e, 0x4f9d85f6, 0xbc0c8feb,
+    0xfed3ad00, 0x48b85725, 0x0931e208, 0x219badf3, 0x4356aced, 0xb3250e15, 0x823cfd8d, 0x8abe4eef,
+    0x58c4413a, 0x39e2e3e3, 0xfb649dd4, 0x225cf4b9, 0x68e2cbfc, 0xae57ce66, 0xd0c6dc13, 0x0835072b,
+    0x0e4e9615, 0x9803e647, 0x40d15a59, 0x06fac9d1, 0x3dec77f1, 0xea36a280, 0x03fbf7d7, 0xc1b186a7,
+    0xed09e715, 0xc8a870ee, 0x0cbfe62c, 0x9667f6e6, 0xdf0a5c26, 0xa8469ff8, 0x5b20e9eb, 0x25ae2d59,
+    0xb0980dee, 0xbe612d35, 0xdb1accc6, 0x4b635396, 0x4c84e85a, 0xf7a3f459, 0xcf17079b, 0x2da459a1,
+    0x85b49aa9, 0xb46dede0, 0x854aaacf, 0xc641d9d6, 0xea108b7e, 0x1dd88fb4, 0x87bade30, 0x39eb8b51,
+    0x3e9de3b2, 0x5b878ad6, 0x12cf0da4, 0x69ed531e, 0x15e5ef04, 0x637e93a2, 0xc75d5409, 0x49df8d76,
+    0xe25b8b20, 0xb5937dd5, 0x338ecc75, 0x4309922f, 0x00a65cd4, 0xc10612e9, 0x8a813117, 0x246b812b,
+    0x0835b5e4, 0x85ddcba6, 0x7578142b, 0x3c694220, 0xa369cf2e, 0x8151e169, 0xc8eac9dd, 0x6c772822,
+    0x57a464f8, 0xa9497620, 0x14acad01, 0xdb48a845, 0x4c70e069, 0xa59af2e2, 0x676bb9ad, 0x43d97388,
+    0xe9421d83, 0x3f947ae2, 0x08ac32fe, 0xc4301bbf, 0xee055c31, 0x54a3c8ae, 0xc8fb7791, 0xc2c3adb0,
+    0xc520f60c, 0xa5a0d05f, 0xcbc6b936, 0xb8deb860, 0x39c5b6f7, 0x557f5384, 0xb9d6bfe9, 0x4c1578b9,
+    0xf2995a4e, 0x7507759e, 0x2a8f0230, 0xf120d745, 0x7723309d, 0x27cfed26, 0x790214fb, 0x7c9e141a,
+    0x8a3ddd09, 0xf6b18a50, 0x74f79913, 0xa4345e89, 0x9665a4ce, 0x5b0b142d, 0x178907c5, 0x0ae6056d,
+    0xb3c64df7, 0xf5d73593, 0x8070631f, 0xfc17ae8e, 0x1d8cff78, 0x4423a5d1, 0x120ae082, 0xc2966bb3,
+    0x5cd6aff0, 0xbd1f9300, 0xf4b6b246, 0xbc4c86e3, 0x0bd77eec, 0xc2f8594e, 0x74c3f98d, 0xea9642a1,
+    0x9eb4f774, 0x89fd8ed7, 0x5cb52c02, 0x22452b43, 0xa986e4a8, 0x0f0332d2, 0x624cda0a, 0xead06b0a,
+    0xec821057, 0x68a2108c, 0xf9914e53, 0xf070b802, 0x9c509d6e, 0x59c2041f, 0x3a204187, 0xbde78c78,
+    0xb7e99261, 0xa7749bba, 0x2a0d3b6f, 0x6bcd3766, 0x4e747de2, 0xd8f379bb, 0x061caf33, 0x9c26b8b3,
+    0xf626aa4b, 0x82897e08, 0x1925850c, 0xaae88f64, 0x3a6eff36, 0x607454cc, 0x980fdad3, 0x5ac8484d,
+    0x5c2980cf, 0xa890fe11, 0xd43a656f, 0x74b7fde0, 0x2f8f3633, 0x2a7a89cb, 0x421c0445, 0x5a07bba5,
+    0x16b9ece7, 0x4356f7a5, 0x8f131d7d, 0xb352e494, 0x364fd683, 0xfda2132f, 0x666010ab, 0x7537bd6e,
+    0x8c8bbf45, 0x0c568643, 0x47d00f5a, 0x8113e9fb, 0x6dde3f6d, 0x7fb9f84e, 0x8742705a, 0xb6778f80,
+    0xec4e706f, 0xbeb01397, 0x1f6c33db, 0xdbc6c854, 0xcd997231, 0x6bd3667a, 0x2c8f4288, 0xafc7210b,
+    0x9bf7d737, 0xfe2e818b, 0x044ae84f, 0x3e03376a, 0xec8e7eee, 0x4e564f23, 0x9a0770b4, 0x89961e70,
+    0xec5d6f47, 0x564fce5b, 0xf73ceefe, 0xc3e0ff74, 0x409a7e2b, 0x62696f0b, 0x70c57edc, 0x4456b559,
+    0x9a0742e1, 0x97df2f64, 0x462e4408, 0xbd8a9293, 0x59b3cf3c, 0x71150cb3, 0xdf8852a8, 0x6dcd8592,
+    0x1519dd26, 0x0054ad0f, 0x03c48846, 0xb9e272a8, 0xfe9d4c51, 0x2891b86e, 0x0f46a76f, 0xad026027,
+    0x4bf53dec, 0xe5e23d34, 0xb388b202, 0x653aa460, 0xbcba8481, 0x18b8eccd, 0xa8519a40, 0x018af08b,
+    0xd145468f, 0x1866eb3a, 0x350350ad, 0x732b18a4, 0x6509c926, 0x8980d37c, 0x8a376e6a, 0x9de39602,
+    0xbc8e5d2b, 0x5ab6f95f, 0x73035378, 0xc5901d6e, 0x474ae46c, 0x41ce2c39, 0xe15b9079, 0xe31a3ef1,
+    0x5f3143e9, 0x73a9f1de, 0xa13a4d66, 0xadeee6b0, 0x291412c7, 0xddca1a48, 0xa4a973ee, 0xb8b7f7bc,
+    0x92fcbb44, 0xe6621029, 0x8cd9e2a4, 0x76956790, 0x10fc262e, 0xddc03d6b, 0xadfe78b2, 0x71c65b2b,
+    0xb0ef749e, 0xca253364, 0xb1108903, 0xe52ef26b, 0x9cfbfea5, 0xd176ad8d, 0x27821cb9, 0x1bbe9492,
+    0x464a1b20, 0x51f358db, 0x24aa23a5, 0xd0286dff, 0xd23ff81d, 0xd99eba18, 0x838c09a0, 0x7eea7fcc,
+    0xffffd145, 0xb34f01ff, 0x3fcea6e7, 0x2a0f7456, 0x78b3feee, 0x75431ec0, 0xc7f7e71f, 0x17fddf07,
+    0x40889c44, 0xf946454b, 0x67578e1b, 0x47f2143f, 0x4136a3d4, 0x4d79a9a0, 0x86a70af8, 0x5b4a8a53,
+    0xd34529b3, 0xb3bd2d90, 0xd7234b94, 0xbfc9391e, 0xc6bc1b27, 0x366ba5b4, 0xc4ff6afd, 0x4e171c5f,
+    0xa3c6e583, 0xf432f0a4, 0x2e6dbe4e, 0x381b8e72, 0xd24cc70d, 0x7b159832, 0xfba10047, 0xf9718112,
+    0x43cdef49, 0x631bb3cb, 0x911068e9, 0x162651e7, 0x65d08280, 0x68cf3fa2, 0x2ef0ad95, 0xfec22301,
+    0x4d366c29, 0xdf764cbf, 0x6a734c72, 0xd4b7388f, 0x7b895294, 0xdf493c53, 0x0125e3e0, 0x64333d60,
+    0xd5bcf00e, 0x38f82325, 0x26b11e84, 0x9bd7895b, 0xadbba243, 0xf376803b, 0x8665bf2b, 0x6c415d7b,
+    0x96b38f26, 0xf709fde9, 0xac1c5b8e, 0xc7e79f9e, 0xb4e61463, 0x72b347a9, 0xb3aeea3b, 0x78609e6a,
+    0x10a4d605, 0x5e747a17, 0x2096285b, 0x0de73194, 0x589f5f90, 0x49e5820d, 0xd96e008b, 0x203dce4d,
+    0x811af23a, 0xb6123cd7, 0x921d6dea, 0xe858cbed, 0x9172ff17, 0x21c27b1f, 0x60df7ca2, 0xca4a6c00,
+    0xbc65a0c1, 0x0ebd24eb, 0xd48c7604, 0x49cb2015, 0x82ddd514, 0x0eab94e1, 0x58c18664, 0x2a17eefb,
+    0xc4f5d6b3, 0xd9a93191, 0xaa7ea5c0, 0xb65fe4b8, 0x4dab5246, 0xe0daa3f6, 0x626702b4, 0x8046dfbc,
+    0x1d2de13a, 0xeb6058bd, 0x8b145f07, 0x1c38665d, 0xd2c136db, 0xc0a3903d, 0xaa26a82f, 0xf00148b6,
+    0xb67f3121, 0xaba2001e, 0x47ceb48d, 0xaebe8693, 0x775652ab, 0x885f60c4, 0x7d5b974a, 0x5cbdb979,
+    0xb9a3e243, 0x864385db, 0x13c5ce6b, 0x448b599a, 0x481c3ced, 0xc1934901, 0x9a994d1f, 0xc82acd22,
+    0xc82783c1, 0xb9191454, 0xbfb48b75, 0x24b2f445, 0x59a79942, 0x6f0f812d, 0x286cad3b, 0xd5639b04,
+    0x50ca27b7, 0x502ab621, 0x474a8783, 0x968d2d44, 0xc10bb978, 0x702ee34c, 0x2e91a654, 0x64bca8db,
+    0x023bcb0a, 0x2306a315, 0xef14a0fa, 0xb96165be, 0x68f1dbad, 0x3dffdb5d, 0xe7543351, 0x94499b1e,
+    0x65608ce0, 0x8d039a27, 0x2044d37a, 0x030a26ae, 0x5b4f596c, 0x922d21bc, 0x5ed92a85, 0x780cbe97,
+    0xc7f63dd5, 0x88a48d3e, 0x4659a96e, 0x52d413d6, 0x5466712a, 0x4d349b63, 0x7c260219, 0xcab56e92,
+    0x8b929927, 0x02bbaa5c, 0x52a26f96, 0x915f2068, 0xb738dd0b, 0xfc3c979e, 0x0b65b376, 0x475064ed,
+    0x59d51808, 0xa214fab1, 0x9ac665c7, 0x7a9f87a8, 0xba2fcd6d, 0xb106b019, 0x9128585d, 0x61d1a732,
+    0xc444002e, 0x8214d919, 0x1b371d53, 0x6dd1343d, 0xc53a60c3, 0xd130c451, 0xe7b1a855, 0xf99010bf,
+    0x92878609, 0x013643ae, 0x29a9d859, 0x809b2e24, 0xde40ee74, 0x1b696b3c, 0x6c8a386a, 0x7d76fc55,
+    0x2d81421d, 0xc07ab11f, 0xd8b35b51, 0xc583a9c7, 0xd6c14cbf, 0xc4864db0, 0xa20eef77, 0x2d6eb93e,
+    0x388b2300, 0xf06781e8, 0xe0eea956, 0x76c33448, 0x532f5ef8, 0x282477de, 0xe6bb0609, 0x660b458b,
+    0x560db032, 0x42965b70, 0x276de6e1, 0xa3527ea5, 0xd842a6a6, 0x4288f771, 0x988a0f6b, 0x9f70d4cd,
+    0x1bd15bdc, 0x62582855, 0xaa89d659, 0x7e698a36, 0xde96370e, 0xf7c5f4ed, 0x40f75f95, 0xd5524d8b,
+    0xea87c53e, 0xb8b57b08, 0x9c8f350f, 0x81139196, 0x9acd9827, 0xe4f3111b, 0xa1d2d568, 0x341e22ea,
+    0x3329f2c2, 0xfcd8470a, 0xd9d571a5, 0x0c3684e7, 0xd79bfaef, 0x949fa2c8, 0xe8c9f102, 0xee9a57d1,
+    0xf394353a, 0xd30896d1, 0x75bd6f77, 0xd144e15e, 0x394236ed, 0xd6989473, 0x0f0f3807, 0xc2b75d7f,
+    0x132545d4, 0xab7f80d0, 0xc199308c, 0x636c2301, 0x45a22ea4, 0xb6da076c, 0x0d9af79f, 0x8bca6ef6,
+    0x54850593, 0x37f3aa19, 0x2c1d1288, 0x967c2c1d, 0xe99455b0, 0xf8f660a0, 0xae489faf, 0x4d994cf9,
+    0x2c969a43, 0x621f276d, 0xc8a5c35d, 0xd76a93bd, 0xaf3520ed, 0x2dd0b320, 0xfb849c8b, 0x603f79da,
+    0xe176038d, 0x588c3183, 0xb12adb77, 0x34240841, 0x20d6d1d1, 0xbb2d2228, 0x43950725, 0xe4aecbf0,
+    0x4a85eead, 0x8654ba61, 0x5b3e9e6d, 0x468fb122, 0x3bd80035, 0x698b31b9, 0x8640f12f, 0x22aca49d,
+    0xf1beaf65, 0x1e11d3a7, 0x917e06c6, 0xbe7f82eb, 0xfeeb877a, 0xac251cac, 0xcaf73e9f, 0xcfb2cfdd,
+    0xd1ce51a8, 0x528ae544, 0xa5ad9d37, 0xedc7101d, 0x5564e764, 0xb8c7ad87, 0xd5e8e943, 0xb462042e,
+    0x20596d1d, 0xd003771b, 0xb55256a7, 0x5e2891ab, 0xfa1dfcba, 0x786cb7ed, 0x0d68986e, 0x8d4d978b,
+    0x023cfde8, 0xb9dbc4f3, 0x3041fd04, 0x92fd9424, 0xab698043, 0x330d6578, 0x7b06e26b, 0x116068b3,
+    0xb0cde388, 0x6d092958, 0x24b28adc, 0x9ae05e36, 0x012cd654, 0x4e949802, 0xe8b7f6f6, 0x696c7688,
+    0xd6289612, 0x60cea284, 0x2e236b90, 0x43180bcd, 0x5785f0b3, 0x46ac9aed, 0x656e98f1, 0xbd31404d,
+    0xd400c74b, 0xc6fe005f, 0x5fc0266e, 0x1bb95339, 0x2da99621, 0x809c0834, 0xc072b68a, 0x91212ddb,
+    0x55afe33c, 0x5eaf3daf, 0x72478b17, 0xefe2549f, 0x599b7e69, 0x2b357b4e, 0xd91201fe, 0x489e49be,
+    0x55e86944, 0xa1874799, 0x463f2355, 0x42ae2c63, 0xeed5d1f4, 0x05feaf45, 0xa68b54f4, 0xbf597241,
+    0xd2c74832, 0xd1add582, 0x91dff6da, 0x6baf5c6c, 0x6748f34d, 0xf680b20a, 0x518c38d7, 0x336eb48d,
+    0xd1ebd9d6, 0xb55936cc, 0xe68a9b51, 0xf11b63fb, 0x15a50406, 0x14cd6f41, 0xd4a58000, 0x8c8992b4,
+    0xbd126a23, 0x4cf76df4, 0x959cbba8, 0x64f1851d, 0x85ff185a, 0xbb556998, 0xe77c5312, 0xb6e7cfd4,
+    0xcde30f1c, 0x9d256878, 0xf104dffc, 0x962e2dbb, 0xdc7078f9, 0x63d1a537, 0xc7530ec5, 0xff3f04d5,
+    0x80936e23, 0x5e0dca63, 0xe4ec3592, 0x88b1397c, 0x1df1974f, 0xd7a740c7, 0xda31b833, 0xc7470013,
+    0x9bccf931, 0xe8cb42ec, 0x7c02c1b4, 0x0f77fd3c, 0xdf7b8183, 0xf1d2eb20, 0xbfa8d66d, 0xc81df3e4,
+    0xb3a02440, 0xe8915ac0, 0x7f489e71, 0x69a93f7c, 0xa19bc494, 0x8530241a, 0x00bd5e33, 0x816cf623,
+    0x00000000,
+    0x748db563, 0xf1bd9d6a, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000210624583337114373395836055367340864637790190801098222508621955072 */
+  { 0x00000000,
+    0x72582541, 0x9aa504b0, 0x1db3da2c, 0xaec219a6, 0x970716aa, 0x62e4e01b, 0x0c91b470, 0xd0ae1a99,
+    0x56b2d2b1, 0x85211c80, 0xfeb6a2c4, 0xec7a690d, 0xf910bf5c, 0xd68b77bd, 0x0927e3c6, 0x4a5cdbac,
+    0x7d389d63, 0x55ff6718, 0x3d2fde91, 0xd76583ee, 0x85dd6bc3, 0x7df81a8a, 0xc553002b, 0x03f974c9,
+    0x7ea9d6e2, 0x16a704f3, 0x500a6474, 0x9ebbd6a6, 0x7445dac0, 0xa551998d, 0xe5761169, 0xcbeb64ab,
+    0x82ac4963, 0xbf2dcb0c, 0x3042ba13, 0x96fc21c9, 0xef949882, 0x2a5a7e2d, 0x7674b526, 0x375f13c3,
+    0xab2bb40f, 0xd71cbb0a, 0xef39d7b3, 0xf93aacbb, 0x2df91b95, 0xd9e05201, 0x443fa1de, 0xe8ef4135,
+    0x04e073ad, 0x7a777acb, 0xda23c36a, 0xb39d5465, 0x3c3f659e, 0xc4fcd534, 0x67c4c6bf, 0xd21f78e2,
+    0x3d247b9d, 0xc2d88934, 0x3190b890, 0x5317916e, 0x8761b632, 0x05d46ba1, 0xf59a652e, 0x53071676,
+    0xfa480c27, 0xd7bc989a, 0xe1f026be, 0x93a185d5, 0x1075fddc, 0x76b8e7a3, 0x0a348f4f, 0xba878810,
+    0x6476431b, 0x39a02762, 0x46ae763f, 0xebad9f1a, 0x8ff729c9, 0x6049136a, 0x4a19b9ec, 0x290f19f0,
+    0xe74450b5, 0x8db02d90, 0xf0a8661c, 0x2f30a4e8, 0xc77864a0, 0x1c1f7ddf, 0xbc11ad99, 0x7aabb4f7,
+    0xf98b01e4, 0xd6fb9447, 0xf3c985e1, 0x42d357f3, 0x98eb6481, 0xcee98088, 0x7a50be6c, 0x7b7b0ae8,
+    0xf55a7017, 0x9d369e63, 0x798e080d, 0xdbcb1843, 0x3c9dea22, 0xd9055e17, 0xc3918260, 0x13dce8c3,
+    0x1fc2dc99, 0xd4fd2c4c, 0x729bbdd1, 0x8367db9c, 0x13c3978b, 0x7a7e4b3b, 0xe45f7f34, 0x3b506b28,
+    0xeeeecc17, 0x0e9f803a, 0xdb8d88ce, 0x1e803e40, 0xe58fe103, 0x2edf6712, 0xed9aadc2, 0xa3f5c43a,
+    0x330f8666, 0x7ec2844c, 0x67df01a8, 0x6d01569b, 0xac3fd263, 0x853840f7, 0xf53ef3f1, 0x0aba27e9,
+    0xf69cfbe9, 0x850a0f7a, 0x8722b105, 0xc4cc706d, 0xe040540b, 0xfba72974, 0xa925b885, 0x1867ca6b,
+    0x70efcba5, 0x2acee0a0, 0x65fd621d, 0x2a8a6c89, 0xcbac76bf, 0xa9a534f5, 0xd3a9980e, 0x4abadf23,
+    0xebecfca9, 0xc308498a, 0x94ff63ca, 0x62323f24, 0x792c2b3c, 0xfa6c9c2a, 0x35c10bd8, 0x5b7bbd08,
+    0x99f609e7, 0xe9b27ab7, 0x288d8062, 0xf6ae2355, 0xc7c762d8, 0x79e98aba, 0xc6da3885, 0x143a7c5d,
+    0x2b46f15f, 0xbd88fd29, 0x2d9dd508, 0x678e315e, 0x0cb0c42b, 0x64b3be14, 0x571454bd, 0x7ba3f479,
+    0x26c3082a, 0xb8e6c8b2, 0xff7f09ec, 0x440c3809, 0xdb1127bd, 0xae42f9e1, 0x968ecfe6, 0x4e354c00,
+    0xb5ba1e27, 0x98d058d1, 0x9db99c7c, 0x5244a309, 0xb9f98d10, 0x721204fd, 0x79f3f54c, 0xba8199a1,
+    0x80fc6715, 0xcd2499d2, 0x685f414d, 0x19ec8535, 0x97d69521, 0xadabda1e, 0x14c03cc3, 0x8dbb9e97,
+    0x98b23f7d, 0x61aae1e3, 0x74ad7061, 0xfa8062df, 0x7db651c2, 0x57e1a223, 0x27ea7ff8, 0x55c1ac5d,
+    0x7e7e26af, 0xe1b26826, 0xa9c151e8, 0x15920109, 0xc6bee334, 0xf61f215a, 0x4070d300, 0x5d904e36,
+    0xaf981dab, 0x8124bd03, 0xf6bcdaad, 0x2910fc7f, 0x55bc407d, 0x6c1ee4d3, 0x2444415e, 0xed25f5b6,
+    0x46fafe74, 0xcec7cb85, 0xb147e832, 0x9142fef6, 0x7924b7dd, 0xfc49b2fa, 0x32fa2322, 0x78e436f9,
+    0x170379e4, 0xf97695a1, 0x6e48b3b3, 0xb547b065, 0x0a34007e, 0x6e8ded03, 0xb5a8d4d4, 0xbca7add6,
+    0x53a1c0f5, 0xf6a5f26c, 0x80f12914, 0x3297a5d5, 0x51ecd644, 0x01afcec0, 0x99444312, 0xdfd86b69,
+    0xedb4193d, 0xa5177410, 0x2bd204a6, 0x8d170cb6, 0xd1e3f53a, 0xd3c4f906, 0x87e8281f, 0x7c61b8c5,
+    0xec038638, 0x0a9104c0, 0x7aab970e, 0x1136eadc, 0x22f1ddd9, 0x3cd51f91, 0xd1654676, 0x8d9850c5,
+    0x1d3f40ee, 0x1197b2f1, 0xb105e27c, 0x9478ca04, 0x3b462148, 0x0be2795f, 0xddb7a849, 0xe319174d,
+    0xd7830bac, 0x4152dc72, 0x7a64940d, 0x8e1381f1, 0x18e10c16, 0x8ce7633e, 0x9eea09af, 0x658b04d1,
+    0xd600061f, 0x38843629, 0xc2c0c90e, 0xf7819c3d, 0xc76e919c, 0x1e570396, 0xa896bba7, 0x2339d06a,
+    0x92029178, 0xef7ae14e, 0x0942a50a, 0x0b023d0b, 0x12d58513, 0x08f898ac, 0x38fa96fb, 0x69cb3ae5,
+    0x277ea1f1, 0x322e67e3, 0x053fa3da, 0x9ad8e5e8, 0xd2202651, 0x67cba7f9, 0x05d3d7a9, 0x9f6061c3,
+    0xf63b9501, 0x34d626ac, 0x6618b8d7, 0x67d4fe4f, 0x34603447, 0x2a74c4e2, 0x7bc793ad, 0xb9ec9b27,
+    0x3fd525bc, 0xef0c8d5d, 0x06319dd4, 0xdad3cd25, 0xb01b8e67, 0x88fed968, 0x064d71f0, 0x32556589,
+    0x008518ea, 0x70ea37ed, 0x5d5a7834, 0xb8c2d388, 0x016811ba, 0x2681a1b4, 0x4c33cb81, 0xcc499110,
+    0x3be4068f, 0x23280de4, 0x8319f175, 0x51620fdb, 0x80916173, 0x0145ddab, 0x658506b5, 0xc43f1baf,
+    0xc1a64c8f, 0x9deebf32, 0x6f6ada76, 0xf1783590, 0x67c4e572, 0x557417da, 0x3951d59e, 0x27e315f2,
+    0xf8c30eb6, 0xdbcb083e, 0x0dce10f3, 0x2b16784c, 0x531041e9, 0xb6114fa3, 0x6a47941c, 0xa2700d72,
+    0x9cde6cdf, 0xf1c061bc, 0x77464354, 0x53e4de86, 0x4bb0e5b0, 0x46b1ffae, 0x8f57ed7b, 0xa363ab02,
+    0x4f45d0b6, 0x4b5ea38a, 0xd91eca7f, 0x67f55237, 0xb457ae49, 0xc81c1c11, 0x0c5a0366, 0x645f5c45,
+    0x90a20d01, 0xd22015fa, 0xfebc75a2, 0x54589d3c, 0xcd1eea15, 0x1f0ca766, 0xeeb32691, 0x0d6f868b,
+    0xa1952945, 0x1c0c4335, 0x3066a0c9, 0x7a70ccff, 0xc6400b3a, 0x8d658d55, 0x02f08c0b, 0xd9815298,
+    0x623845c2, 0xfcf3103d, 0x1217607b, 0xe51e7a17, 0x05adaac1, 0xed714fa0, 0x641e9a0e, 0xd8db1d7c,
+    0x9afe19e0, 0x7e35af78, 0x93b8f9be, 0xa6c14fd7, 0x895e5b0f, 0xe0d6bf3a, 0x40460c60, 0xab95a633,
+    0x0ceb40a0, 0xfa505d92, 0x1a49272b, 0x64a6ff7f, 0xc49280ca, 0x6b3e4519, 0xcaaee6e4, 0x2e2aee89,
+    0xe401f9b3, 0xd8587ed8, 0xeac52e64, 0xee4e76c1, 0xd46f09c9, 0xc703c68b, 0xc54b5368, 0x1e863e87,
+    0x48265f28, 0x4ce3470e, 0x763acf70, 0x61082394, 0x0c909d40, 0xf5a0b809, 0x65204661, 0xbf84c167,
+    0xe1fb8b58, 0x2d4da109, 0x877ae88c, 0x12e79fc7, 0xc1f0f85a, 0xbdd377f4, 0xcce7f867, 0xf0bcacd1,
+    0x175da831, 0x94ba38c0, 0xfadd78a9, 0xc7dfe5ed, 0x3494ec9f, 0x7d11583c, 0xf3324ff7, 0x98176f96,
+    0x489b058f, 0xb225e77c, 0xfd959d3a, 0x00986da5, 0x9a159a71, 0x1470fb09, 0x54ba0b41, 0xb1ad2f32,
+    0x2e0bf924, 0x8bd9f053, 0x26565705, 0xa318ac06, 0x05586c92, 0xbe8f24c2, 0xccf10eeb, 0x9d9d5118,
+    0x74b5c2a5, 0x0583f78c, 0xa7004ff6, 0xa934ed43, 0x9394ab30, 0xd4be0155, 0x4526f7f5, 0x0d0027ea,
+    0xbc9e75e9, 0x4df9b267, 0x66a1da0c, 0x418bbd62, 0x251c2a2b, 0xfdcde40a, 0x6123159f, 0x8c0128cd,
+    0x328332ab, 0xb49949bd, 0x38adab9a, 0x35c661ce, 0x28a39b7a, 0xff191f76, 0x275a19c3, 0xbb4f7008,
+    0x3c58e718, 0x61e45e2d, 0x458752f0, 0xcf75bac8, 0x1aa78665, 0xa4635e60, 0xd64276bc, 0xcdf61fd9,
+    0x6603b3c2, 0x59c3bb85, 0x0196957c, 0x64f8e4e7, 0xa7b9d21f, 0x557156b4, 0xef8af6e4, 0x7e22696a,
+    0x43874505, 0xd292a687, 0xc4fd9ce7, 0x85967d89, 0x0c31de93, 0x75866762, 0x818e6279, 0x54090004,
+    0xfe4ac178, 0x50ab2857, 0x91e071f3, 0x0295f7c1, 0xcccbc084, 0x8d162319, 0x219cd05a, 0x3b3e5f37,
+    0x865d843f, 0xaa9b62d2, 0xbb0e7290, 0x4c9272ad, 0xa0bea279, 0x213cf54e, 0x70b45d59, 0x798045c9,
+    0x040649ee, 0x5e51cb63, 0x3187a062, 0xea4ca594, 0x40071668, 0x7a5f06a9, 0x88d210ac, 0x4cbe7e62,
+    0xabb651bb, 0x4b198287, 0x43ccdb6e, 0x57375d5b, 0x98389583, 0xca6b00cf, 0xfa622162, 0x70b58cfc,
+    0x2acf01ab, 0x47627f97, 0xb6f87a40, 0x2ec40cb3, 0xf5564c71, 0x657794f5, 0x84ff9d6a, 0xf403172e,
+    0xe5139c2b, 0x8d71cb00, 0xbf0beaf0, 0xf04020fd, 0xdd27be62, 0x7be908cb, 0x189793c4, 0xe2c2a885,
+    0x8c70c253, 0xc8a228cf, 0x8c283482, 0x9abe1524, 0x3062a708, 0x93ec0252, 0x413ff91f, 0x44b4d432,
+    0xe7aa88c5, 0x1dd893d7, 0xd2ba1e32, 0x2b943d15, 0xd1d3df93, 0x65602329, 0xa4f20a7a, 0x96af0cc5,
+    0x08a5c644, 0xa8c138d7, 0x5cf3edd3, 0x82f66ce4, 0xc858d1f3, 0x8efac8a8, 0x3e0a553f, 0x176ed8a9,
+    0xcaf95cea, 0x7c1c9d27, 0xbd359a3f, 0x149e6e90, 0x36e344e7, 0xd0f67d72, 0xb5219496, 0xa5993ff1,
+    0x879e76d6, 0x2dec4030, 0x526e3bae, 0x5db46d71, 0x34539eb9, 0xc8f18419, 0x45001808, 0x8f8e48a5,
+    0xa70341d5, 0xcba21800, 0xc8d6fb9f, 0x0db3725c, 0xf9605bba, 0xb3d1aac0, 0x46c6cdd1, 0x26665f4c,
+    0x437c698c, 0x9d4c667c, 0x6e01155a, 0xb51bc46a, 0x507d6df3, 0xdb656e97, 0x4aafafbb, 0x8393f325,
+    0x8f6a0a5c, 0xb738fb32, 0x6f3a363a, 0x09517a71, 0x60d11296, 0x2672cfd0, 0x7a5542df, 0xb50b27aa,
+    0x35f22f3f, 0x64e576a1, 0xfe41f0c4, 0x1b930d29, 0xade577c0, 0xc8ed9c57, 0x676bb425, 0x79c635fd,
+    0xbaac0d50, 0x2b70ce85, 0x57c7e594, 0xcea6ae58, 0xee668128, 0xb63cddb7, 0x77cec212, 0xb7676a28,
+    0xd6513f3d, 0xb25965fa, 0x7793e59d, 0x9bacb2fe, 0x5801ac1a, 0x88b6adf7, 0x1189a994, 0xb241f94d,
+    0xc1997ede, 0x628b6bc4, 0xfc51ec4c, 0x9491c7e8, 0x3692603e, 0x0c89648c, 0x3e22bca2, 0x1c629afe,
+    0x5b149ea0, 0x999e33a7, 0xfcb2d5b9, 0x0a927f1f, 0xebdf3bc5, 0x5f951fea, 0x33b89417, 0xdf63aa23,
+    0x7d80f867, 0xa43c8b3c, 0x0eb0162b, 0x2a7f2d4e, 0x3671d7cd, 0xc5f7602c, 0x8bf68b8c, 0x881ff244,
+    0xf65ed600, 0x1f23b4dc, 0x68d6ad61, 0xb3209235, 0xe8710f6b, 0x27b9510d, 0x94d7c177, 0x55499a70,
+    0xc0f43c15, 0x72586f6e, 0x405347f1, 0x250c0459, 0x1658770c, 0x43db0571, 0x011c5534, 0x362f843b,
+    0xd2d73d03, 0xfbe44f03, 0xae11b1ad, 0x70fcd4db, 0x2f21680f, 0xa6c78883, 0x462041da, 0x10bbee02,
+    0xa2e72e37, 0xd2f1f4b7, 0x943f154a, 0x32ca2e26, 0x6f84d103, 0x0818a1d8, 0x361c5899, 0x574ce1fc,
+    0xb7ea88b1, 0x00f77a1b, 0x99b62861, 0x110d0f7f, 0x4049094e, 0x33158de9, 0x38e26b9e, 0x63d3c517,
+    0x86486d94, 0x8f0bbd12, 0x80e31633, 0x59f6d7b0, 0x66f1c652, 0x4007183c, 0x7fd71fae, 0xf84368b2,
+    0x41de8ff8, 0xabfb7700, 0xe3ecf228, 0xe5f057e3, 0xf201e11e, 0xc1abc8aa, 0x52f6164e, 0xa3147517,
+    0x1d6eaf93, 0xb96b499e, 0x9eadde42, 0x10b1f23b, 0x51cc102c, 0x26456d20, 0xc3d92c0e, 0xef03f79a,
+    0x5ae59ea5, 0x6cf7f6b1, 0x893d76cd, 0xa136fdf5, 0x3de8be2b, 0xb8da90b1, 0xb55be604, 0x5611281e,
+    0x59e33825, 0x6b3fe157, 0xab3f5716, 0x796e329b, 0x73ff8fd4, 0xdfd73b07, 0x774c7b7d, 0x66e2fbc7,
+    0x4c2f5db7, 0x55f054f9, 0x075a7a9a, 0x5c5ff68c, 0x7e9f745b, 0x6a3b3a99, 0xa04276e2, 0xc8fe5a0e,
+    0x8b4242aa, 0x7825cf44, 0xbe79b848, 0xaf8fdafa, 0xabf33cd6, 0x84b8dd82, 0xf590dbb5, 0x4fec0aef,
+    0x6c1bbcd0, 0x8823e4ae, 0x16a89697, 0xcee8b0d7, 0xe209e3cd, 0xf4d6ad49, 0x6dbda180, 0xc98f0aef,
+    0x386a9492, 0x8fc47dba, 0x5ea21761, 0xf35cc353, 0x39afce83, 0x6a841eef, 0xda02b338, 0x379c10da,
+    0xf0bf013c, 0x783ec5ea, 0xe1dfe7ff, 0xfd5c527a, 0xbd46eda3, 0x72f043c1, 0x9754e290, 0xcb9bd3e0,
+    0xd3245b8b, 0x3cc626ac, 0x97fe3e95, 0xc4d66671, 0xd05a2166, 0xe62e979c, 0x7c4dcc4d, 0x467127ca,
+    0x21b123c8, 0x1c1b0d37, 0x13056d82, 0x89043481, 0xf945b7a1, 0x2bb2cb2a, 0x6ee2d70d, 0xcd724a83,
+    0x878d5d93, 0x5876d809, 0x1d797a55, 0xc260ebf4, 0x9f6401cf, 0x647b718b, 0xb1826a10, 0x7964df0a,
+    0x2cd17615, 0x6b8b188a, 0xad2da90d, 0x49bb24a7, 0x7f8df521, 0x3b04c0fd, 0x4e57feff, 0xef529a61,
+    0x3bdcad07, 0xad55c25a, 0xe08e149c, 0x58f67e65, 0xcf3fd981, 0xf8766743, 0xdb02e80f, 0x573dc064,
+    0x63844c00, 0x8db4d1ee, 0x47715885, 0xcbc9bf4f, 0x5b8b65b5, 0x55eda786, 0x179a1982, 0xb33cc148,
+    0x6a3f9455, 0xf2720758, 0x33f298cb, 0x70756827, 0x2dbb8ee4, 0x6d8d4de7, 0x3d9cf3d5, 0xd9a295fb,
+    0x68a468d3, 0x24e251c4, 0x515f877f, 0x80b0037e, 0x54da2e7f, 0xd48aa8ff, 0x77a1fabe, 0xe7b3a08f,
+    0xb1418d7e, 0x6873c00b, 0xd79f0d0a, 0xfbb75c56, 0xfbce7c9e, 0x71ad5f5d, 0x5ac4366c, 0x169a75a1,
+    0x043fb3cb, 0x015a7fa2, 0xc2bd7acd, 0xe8e22b09, 0xd1034977, 0x4e784852, 0x93b06bd1, 0x5a760058,
+    0xc065aaaa, 0x21dbc8de, 0x80826cd0, 0x09defbf9, 0x9f617d42, 0x950fb4ac, 0x232f35b3, 0xc3e32dd2,
+    0xe970b7c6, 0x2d56dbfa, 0x6cb0d341, 0xb2245cb4, 0xbf4ee9d2, 0xdc272a08, 0x59b0f200, 0x3926e506,
+    0xb82fe555, 0xa8d1fb6c, 0xe46957b5, 0xb1d8572d, 0x3a51b971, 0xf95e28bc, 0xd4f05216, 0x2eaedfcb,
+    0xa4963719, 0xb9fe7fb4, 0x8d0e9fca, 0xd9c16f94, 0x439b9b29, 0x2c5734c1, 0x94345a72, 0x54887ec2,
+    0xb3e6c278, 0xff2cf078, 0xdecffa82, 0xf5abb7ae, 0x8d3c0119, 0xfd4b193e, 0x05a99775, 0x2e6741fd,
+    0xff41669a, 0xd48c4ec5, 0xe3e4a041, 0xb4396252, 0x0ab0375c, 0xe95be472, 0xd3190bd6, 0x17f64919,
+    0x99e77a42, 0x5d1e7b83, 0x9274ce16, 0x404db13d, 0x1f7fa985, 0x30e6eab7, 0xcc65bdea, 0xd4a723d6,
+    0x0bb3eef8, 0xad56a999, 0xd8ce87b5, 0x02a5e9b2, 0x3137c7c0, 0x8cfc912b, 0x44f1c3cd, 0x84aa7d23,
+    0x22d7ea67, 0x12793b7a, 0xd9de16a5, 0xfcb97362, 0x3c728fb3, 0x855a962a, 0x4b358ef7, 0xa3316068,
+    0x14b7fdbd, 0xdd492e75, 0x5aa0f0dc, 0x45147367, 0xe8949e0b, 0x7d9f5ed0, 0xec823915, 0x84a74036,
+    0x93a86dd1, 0xe431cc90, 0x59d2d64d, 0x7a81b11c, 0x72a523fc, 0xf5bd1b6c, 0xfc3932f2, 0x5852c9c1,
+    0x2c399d66, 0xdeb15fbf, 0x3c1576d4, 0x2d006fc5, 0xaf00af1e, 0x3275e2bf, 0x191c419d, 0x130c945b,
+    0xa02de805, 0xc727d100, 0xbd9c5af5, 0x1809e4ae, 0x8f7f267c, 0x78c78a2b, 0x43323d7c, 0xa71e6118,
+    0x32b03b3f, 0x9367cae5, 0x3cc4813e, 0x5b2140aa, 0xf8885251, 0xebcd394d, 0x4eb29faf, 0x84957562,
+    0xeefbd5e8, 0xce015920, 0x7bd83b52, 0x0c7a0619, 0xf6d0fd89, 0x0dce5486, 0x4446135c, 0x6f44e628,
+    0x70d01e27, 0x28e8e258, 0xc0108aae, 0xa44ac21c, 0x81dceacf, 0x08d8c9bd, 0x32ec41c8, 0x351365d6,
+    0x93632ec6, 0xf705be55, 0xfcdd2c32, 0x2c11d16f, 0x984a263e, 0x03711a94, 0xf8a951ff, 0x2b1931ff,
+    0x4d077f23, 0x2965ba01, 0x2bee4a0f, 0xcd6a3315, 0x0a588ed0, 0xef075861, 0xa8577fec, 0x896f49d5,
+    0x04df2188, 0x012faab9, 0x1343bff8, 0x245673a0, 0x79ccf160, 0xaa6b31cd, 0x70cec145, 0x80b5f9b6,
+    0x00000000,
+    0x3a46dab1, 0xf8deceb5, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000105312291668557186697918027683670432318895095400549111254310977536 */
+  { 0x00000000,
+    0x2cd39d60, 0xe7847a27, 0x2a94263d, 0x6a355455, 0x11011dbc, 0xef0f09cf, 0x2e94d8ee, 0xd6b3b305,
+    0xd0897b98, 0xfaee37d5, 0x5a0417cf, 0x25b1ffb8, 0xb5695b1b, 0xeec421a5, 0xb296efdf, 0xa754bbfc,
+    0xaae512bb, 0x0de7058a, 0xc7f7c6f4, 0xf96c2328, 0xef1c7595, 0xdf68200b, 0x29b4b0b2, 0x81d4be6a,
+    0xf5f856b9, 0xa2368180, 0x7524bfbf, 0xb7cd6cfa, 0x0ae62733, 0xd7735a00, 0xe937419c, 0xb61f77c0,
+    0xb69e0cf6, 0x0f1f10ce, 0x1af9f534, 0xb42d5eb2, 0x99fdba6b, 0xfa5a54af, 0xbeac2caa, 0x64cbb4cf,
+    0x4e3c081e, 0x8cd666c1, 0xb9f734a5, 0x0420a32a, 0x2241d686, 0xd6817548, 0xa03823bb, 0xa3f01f87,
+    0x13c402a6, 0xc05fd735, 0x8ef0d29f, 0x5d2b5c2c, 0x777d0c12, 0x09548d4a, 0xf9ea56f0, 0x35f14dc4,
+    0xa78bba1d, 0xfea6c8ed, 0x5fc74481, 0x6b3aaaee, 0x2943966e, 0x5c8778cf, 0x5546b067, 0x94709645,
+    0xc589c338, 0xee892009, 0x7798fa5c, 0x3df822a2, 0xa6b84014, 0x8b488b9b, 0x00dcf715, 0x2030bb00,
+    0x335edd58, 0x4ece1bdd, 0x7ce9e1a8, 0xf04e49b8, 0x9c4e3d4c, 0x14de7d2d, 0xc15634f8, 0xdb7a17e6,
+    0xecaa2be7, 0xda667082, 0x3dcc1a61, 0xadb35c00, 0xf9dfacf3, 0xcccfadc4, 0xaa7b34eb, 0x2c767189,
+    0xf9ace66e, 0xda7244a9, 0x27e67cc1, 0x2341d466, 0x67b054f9, 0x1ef8dcdf, 0x78c19c14, 0xc06e18f6,
+    0x511f9e78, 0xd52e50cb, 0xcdeddb42, 0xf176e403, 0x5ea24abb, 0x6ea62c0f, 0xbe795c37, 0x1165619c,
+    0x244289ad, 0x0797a718, 0x1ed5159d, 0x192ba844, 0x896f0fd4, 0x8e553419, 0x9cda70ba, 0x93d28206,
+    0xe2cd7280, 0x7a13eac3, 0xda735d6e, 0x2f179362, 0xcec63133, 0x8ab673a7, 0x66617403, 0xf0a8e2ba,
+    0x72889842, 0x28c3f55b, 0x45d285d0, 0xfa2f24fc, 0xcbe65e2a, 0xf2f2e844, 0x3579956d, 0xa8702602,
+    0x1495274d, 0xba4e2d4b, 0xe10a9444, 0xccea7f55, 0x19c7f171, 0x8ce59094, 0x38716cad, 0x62fcfefc,
+    0x360d2860, 0x0d4ed024, 0x07809469, 0x92adff22, 0xf559aa3e, 0x6514af19, 0x0998fc19, 0x872558be,
+    0xea91b923, 0x2a4ce212, 0x6241ede8, 0xa78c6bc6, 0xa9a47b2e, 0xf2704655, 0x845e3027, 0x6b1f2be8,
+    0x24dea646, 0x4e338649, 0xc5c10c3b, 0x3d4094f1, 0xb9443ffe, 0xfd1bee4c, 0xc92838a9, 0x0aabdd79,
+    0xfb2db063, 0xc2098ab3, 0x4c2026b9, 0x97078826, 0x79dfe4fa, 0xa9f61e4f, 0x9a86647a, 0x1bad22e8,
+    0x91f9d81a, 0xdb443e2b, 0x24fa983e, 0x09eb2bd8, 0xf98c3b29, 0x00397c1d, 0x5eed057d, 0xcdcd715c,
+    0xb0c31a1e, 0xa6d3d601, 0xce216d5b, 0x8d45f3e5, 0xa57219cc, 0xfa845598, 0x9654459c, 0x8030506b,
+    0xd6bc07fe, 0xca2a7639, 0x5dc9bd17, 0x955248a3, 0x76352c56, 0xc39e73ce, 0xc545ba7b, 0x981cda33,
+    0xfec078b3, 0xb8665f7d, 0x7d1c8f46, 0x15e23599, 0x52efc9d7, 0xb80f86a6, 0x63b30e01, 0xc8df0783,
+    0x9b745288, 0x60afc74a, 0xed9386ab, 0xf119541b, 0xad104dc3, 0xa7b2c824, 0x766aeb95, 0xf1cb5e8a,
+    0x49ef20c1, 0x07d6c1a1, 0x525d5a9e, 0x1466d314, 0x2af575ca, 0x0b2ab0b9, 0xac671803, 0xc8cf6492,
+    0x1c969b0c, 0x8d3e37e4, 0x56ab1699, 0x68f5a792, 0x0705a590, 0x454988c7, 0x5fb5f9af, 0xc455bc41,
+    0x3cce97a0, 0x08997784, 0xd8862a34, 0x36071a44, 0x885d0cd6, 0x0a629af9, 0xf0caeb02, 0x55d28dd1,
+    0x845fb3ca, 0xaafd05d5, 0xc335d973, 0x3c81e37d, 0x7543a2b0, 0x5c38f348, 0xeca423c7, 0x8e309792,
+    0xab488fe5, 0xe1c8cfdf, 0x96311019, 0x3d6eb55c, 0xd317f99b, 0x4745f380, 0x711180fd, 0x8c01c632,
+    0xca3f1ae6, 0x926d233b, 0xf40241d6, 0xf2cf1c33, 0x7a804c10, 0x2dae6a9f, 0xa66acebf, 0x0c63541d,
+    0xee4e3f00, 0x31e5c3cc, 0x33e2119b, 0xdb4eb3ba, 0x7f965b40, 0x4fd7ec9a, 0x00e0ec52, 0x60aaf922,
+    0x4c9e161d, 0x710b20cb, 0x737878ec, 0x1d137869, 0x4c7a90ac, 0x7702c668, 0x86a8612c, 0xf99ec55b,
+    0x8b8cee87, 0xf8ba8a43, 0x4174a633, 0x733b7c69, 0x717bf96e, 0x26fdaeca, 0x634fd8c6, 0xe99ac9d6,
+    0x614c03a4, 0x60f29864, 0xea270bc9, 0x785aceed, 0x533d8814, 0x1902b0fc, 0x11c17b6a, 0x7209a8ad,
+    0xba02c304, 0xa429fb8a, 0xb8c7fc49, 0x28738548, 0xa49a948c, 0xf837c2bd, 0x3e270bf0, 0xff160b85,
+    0x60ee7f0e, 0x46b5a5d3, 0x0ccb99d1, 0x0df075dc, 0xddc1d4b6, 0x992b492f, 0x904f0c10, 0x0804b022,
+    0x8eef65fc, 0x83b4e3ba, 0x15baf22c, 0xc3a5567e, 0xcd5bf6a7, 0x31d6cab4, 0x202ce3cf, 0xe2974e9e,
+    0x937b3a1d, 0x5c6ded11, 0x41792bff, 0xe0046761, 0x7bff925f, 0x5caa4833, 0xbd634ac0, 0x4f7f75eb,
+    0x8ec50dc9, 0xe7c1cf0e, 0xc519f448, 0x68a9d610, 0x092a8a4c, 0xa091aaa5, 0xd38a0d64, 0x98d3c5ed,
+    0xe4c1a0b2, 0x64216dd6, 0xbce52a5a, 0x145e8a02, 0x7687a2fb, 0x22c32bdd, 0x74eeb281, 0x5f9ec046,
+    0x57fefda0, 0x52441a22, 0xd04bcef2, 0xd97e4339, 0xe710150b, 0x143c22d4, 0x787631d9, 0xc431120d,
+    0xaf3c5705, 0x7aa9c804, 0x105e915b, 0xe7739501, 0xda8cba8e, 0x4b8d7082, 0xbb7ecb33, 0x3059c31c,
+    0xe722ae6e, 0x062beefc, 0x8e594ac9, 0xcc8cb1f7, 0xe1c4704a, 0x28039a1b, 0x05a4c8c8, 0x73a84d8e,
+    0x3b803bc2, 0xd80a7d1c, 0x720f43a3, 0x77a22f48, 0x38f180cf, 0xece8d1b9, 0xa2c61d1c, 0x08ba762c,
+    0x044e494b, 0xf49790b4, 0xe03aa350, 0xb8441faa, 0x4f5cf7b9, 0xdf4e7021, 0x1aab2197, 0x1f4dc3c9,
+    0x43d6561f, 0x1bfd51b4, 0x802cc45b, 0x16cf05a3, 0xf5a0db27, 0x1d90a682, 0x0631f6fa, 0x1b28734d,
+    0x390118b4, 0xaec09d88, 0x67e72af5, 0x5b849ed1, 0x947e2605, 0x0ccbfafb, 0xf11a0c5c, 0x151c65cf,
+    0x7f3b619d, 0xf6e1dc66, 0xa4682f12, 0xbb72a56d, 0x1584ad47, 0xeb526867, 0x011a8c93, 0x5f7a46fc,
+    0x91c7063f, 0xa221914f, 0xc96cae88, 0xa0f96579, 0x5686233f, 0x9cd6d37b, 0xad7a41a7, 0x57b7e0e7,
+    0x317708ee, 0x133ffcc9, 0x1af7f894, 0x1fc094b5, 0x08391e9a, 0x65dea33d, 0xd739811e, 0xf067b106,
+    0xacec62e8, 0x3ac3e343, 0x66cd7dc6, 0xb01b75da, 0x98241390, 0xed0cc4cf, 0xca37556f, 0xb12d78dd,
+    0x1ebf07f3, 0x8b32c65d, 0x4eb7c74d, 0xbc7069b6, 0x91cad5cd, 0xf0dbb8db, 0x1d8c0bcc, 0x112d66d7,
+    0x2ef669c9, 0x2231df81, 0x147cc501, 0xcdf19529, 0x58d987b7, 0x9bb7f850, 0x75b7c39e, 0xc719ebde,
+    0xe8ca52ed, 0x7623782e, 0x5d7cfea4, 0x4b6c9dcb, 0xdd3316b9, 0xf6725590, 0xddc58f7f, 0x87145487,
+    0x000df833, 0xa7c36e9b, 0x17d6fbad, 0x657dd7b4, 0xde8a4f81, 0x6b5de209, 0xb0dc1f30, 0xc37df661,
+    0xab96c58c, 0x42a95da1, 0x8fce9b63, 0x9e985591, 0x04de7b2f, 0x0c33850a, 0xfa0e1470, 0xe52fefcd,
+    0x8e8e93fb, 0xdf70be6c, 0x655e43b0, 0x14c1110c, 0x2f7d87a2, 0x38883a99, 0x96e3c3e2, 0xbc0cf01e,
+    0xa24bba05, 0xcc1bbc47, 0xa266094f, 0x9b9d2bb0, 0xed1b8a07, 0x1c3acb84, 0xcacf76ef, 0x88b4f64a,
+    0x47e21e4f, 0x646a655e, 0xe1d0ca9c, 0x2468b42e, 0x92123f82, 0xb7eddf6a, 0xffa6751b, 0x21e62550,
+    0x2a3d8a7b, 0x852338af, 0x976d6227, 0x3803d6af, 0x10382eed, 0xdf30573b, 0x0fa32772, 0xb62412c4,
+    0x84a6d59f, 0xa5685f0b, 0x248ff709, 0xa86dea32, 0xc0d825b2, 0x61948296, 0x52795e3a, 0xd0630028,
+    0xa1c250d8, 0x7513a0f8, 0x8b83fa22, 0x547fff3b, 0xccf5748c, 0x15517991, 0x6169d3e6, 0xae5baac6,
+    0x94ad8746, 0xbca7cd08, 0xc5104a4f, 0x8e022bc9, 0xd780f2ea, 0x5299b3aa, 0x3b3d70d1, 0x96b0146c,
+    0x6d8d82d2, 0xf11cd49d, 0xd6e3b22d, 0xd257468d, 0x9b154951, 0x203c5fbe, 0xc8795b48, 0x2b0a46d5,
+    0xe18fc592, 0xfb355012, 0xccbd302c, 0x270640af, 0x1692b223, 0xcb4d4e7d, 0x71854061, 0x2ba330ed,
+    0xc107ad40, 0x11e75071, 0xd17847f1, 0x8c2b3602, 0x1d3cd698, 0xdbe2c527, 0x61a4529c, 0x100e661f,
+    0x5a68ce2d, 0x90b87206, 0xcd1a552f, 0xff0ace80, 0xa0c23f36, 0x95f7240b, 0xbb79a405, 0x0ea4c1b4,
+    0xc1b82a35, 0x70452b9d, 0xd869789f, 0xca0c5f22, 0x3db1e8e1, 0xa41493a7, 0x65d63afb, 0x935f8e31,
+    0x2ec8214d, 0xb3b5e317, 0x2dd9c926, 0x5b15fba8, 0xa28b6406, 0xb6e13703, 0x7ee1f54b, 0x848bbcba,
+    0xa45d209b, 0xba50b80c, 0x4b3d7c8d, 0x0a1c5723, 0xc92ab981, 0xcb89f675, 0xd7d34478, 0x1776fcc3,
+    0xf082ff87, 0x83b1d375, 0x1c5cd86c, 0x240cf336, 0x88f60340, 0x5f934c45, 0x089d256a, 0xa4cd74c5,
+    0x08cf2adf, 0xe75010d6, 0x67ef21c8, 0xb1639e24, 0x80e301df, 0x320fefe2, 0xbb16ac33, 0x1f8c7dc3,
+    0x0fc7d0ff, 0x7f33b0f6, 0xf3070c38, 0x982991ae, 0xdc725826, 0x9d36b460, 0xb827dc68, 0x4ea432fa,
+    0x5fa8878b, 0x740c4793, 0xdd140b39, 0x4980f6d5, 0x8d94a587, 0xaa0847af, 0x4011fdc4, 0x39d3cd1f,
+    0x0def7d98, 0x3fe270a3, 0xfefce8ce, 0x54da77bd, 0xdb719b5f, 0x0da0f859, 0xdff9c92f, 0x7928c715,
+    0x485ead57, 0x0a3dfd05, 0xbc07a83d, 0x3ebe7b59, 0x349a62d5, 0x10cd31e8, 0x2541c10c, 0xc5522feb,
+    0x898df15e, 0x5d196296, 0x9510dc8a, 0xe9c9a7dd, 0xd22725c9, 0x00d1c80b, 0x15bca4c7, 0x171b1c94,
+    0xc0ab1a70, 0xe633bbe4, 0x9374d111, 0x8bcea24f, 0x800d42a0, 0x7e41fbda, 0x53b4b5d1, 0x1f491841,
+    0x61307e07, 0x0a008727, 0x28273c0a, 0x3db623d6, 0xcfd99306, 0xac53cef7, 0x27ee3284, 0x8a0413d2,
+    0x5d2a79a9, 0x161c7777, 0xa1c02141, 0x0641d4d1, 0xd48bb7b4, 0xde6d09f3, 0x995efb20, 0xa1ea4754,
+    0xff9234b3, 0xff8d21a5, 0x205224d9, 0xdf276d30, 0xf8b136bb, 0xd8e4695d, 0x63f6c680, 0x05f13a0f,
+    0x72399023, 0x6b53307c, 0xcb76b204, 0x9073f9f5, 0x23df635a, 0xe980fa7e, 0x0d9132ff, 0x7e5d91ca,
+    0xa65e597d, 0x38663529, 0x45f47993, 0x012d297f, 0x8899dbb1, 0x0e7464bb, 0x9a73f46f, 0x689ff1f7,
+    0xe29797b4, 0x7b40aed9, 0x653abb5d, 0xfe3877be, 0x1a462c46, 0x1daf3c67, 0xb8f95400, 0x0d250e8a,
+    0x399bc862, 0xbf53c875, 0x20abd596, 0x9dfa230e, 0xdb91d5bb, 0xc14ecbb2, 0xddbaf9fb, 0x1e5b61ce,
+    0x39a6153e, 0x082c6db7, 0xf6076204, 0x87af2dda, 0xda9593f6, 0xa0ddac90, 0x3ab408a6, 0xeb66f854,
+    0x162c21ec, 0xa0519214, 0xc1704643, 0x68ce0cff, 0x9a28c9c0, 0x1e6a8bb7, 0x8c9b37de, 0xd4bb3065,
+    0x248cf233, 0x92143cac, 0x9c94f27e, 0xf6d86916, 0x1d480e43, 0x3a283d01, 0x2a5c263c, 0x8229adde,
+    0x014d70ed, 0xc75739e5, 0x83844cec, 0x8abbd42c, 0xebe87c1d, 0xfd20d928, 0x75428b29, 0xd50d97c0,
+    0xe30a387c, 0x3e8b3fea, 0xc1daf457, 0x4d837da5, 0xe0800b90, 0x7e031389, 0x72c72096, 0x9674c3ba,
+    0x2bbbc455, 0x40f8e4a5, 0xd3c7f37e, 0x42426b08, 0x9aafc3c6, 0x12123e5b, 0x53575bfd, 0x8554fe7c,
+    0x52b22384, 0x578c8c82, 0x6985541a, 0xc6e661b8, 0xb19a9f5d, 0x8e62d69c, 0x9d0d13f6, 0x9377d98b,
+    0xfb1a34d2, 0x11348b9b, 0x7854cfc8, 0x94e3ccd2, 0xbd9a1636, 0xb84bf6ca, 0xcdfcac3b, 0x2f7bc399,
+    0xde30c9b2, 0x7a77a3da, 0xb48fee26, 0xc01286e4, 0x40792cf4, 0x4fc66d21, 0x1eb5c84a, 0xcda243a0,
+    0xd553da5f, 0xb9c0026e, 0x7f2be8f5, 0x5696f873, 0x6bd7cdd0, 0x13cd21a6, 0x303ef940, 0xda2d7157,
+    0x32177f17, 0x8311dc64, 0x67e4de56, 0x59a62966, 0xbdaaaf7a, 0x840d712c, 0xb8fa7534, 0x49e10c02,
+    0xb0ea4aed, 0x71c32359, 0x40dd4e1e, 0x6c206b8c, 0x9b3ba50d, 0x70ab6f1e, 0x47c01061, 0x7095ede2,
+    0x10fdee2f, 0xd941d106, 0x447b37c3, 0x8d393469, 0xf9259e8b, 0x0f05ec28, 0xefd52df5, 0xe59729d9,
+    0x5ee2f29c, 0x4cf545bf, 0x49f06573, 0x0f6fce68, 0x5d93e3c1, 0xddeac4d9, 0xf2cffa5e, 0x2524bb27,
+    0xc3c87b6f, 0xad727325, 0xf7cddfb0, 0xc089cd9e, 0xb0affc17, 0x3d8a5809, 0x4c23721e, 0xd1e7becc,
+    0x1c8dd79f, 0xe576c5cd, 0xc26497ad, 0x97804ac3, 0x39ea7a66, 0x7ee60fcd, 0x5eb4a75f, 0x6acae13d,
+    0x0ce63d8c, 0x9525d508, 0x60f2a3c5, 0x2675bff7, 0xe97bfdbf, 0xbb2bbaa1, 0x173495bc, 0xbaddbcb4,
+    0x762326bf, 0x6713319e, 0x2204daa7, 0x67d73ce6, 0x589fea2e, 0x52ea8b6c, 0x9bbbf8eb, 0xde9db190,
+    0x0f49b3f8, 0x5fb8a239, 0xab6646ff, 0x18b48b64, 0x6633c955, 0x9d89baa8, 0x001ce7b0, 0x6ab229fe,
+    0xc515c5c9, 0x486edea5, 0xa51cb268, 0xb8726a0c, 0xbb07b8e3, 0x9bec0b7a, 0x624f3901, 0x181f7c8b,
+    0x75f7f855, 0x0e2677ad, 0x46270a04, 0xd662d1cb, 0x80b91f6c, 0xe441ef53, 0x92fc771a, 0x30eb169e,
+    0x9ee84d12, 0x695e48f3, 0xabfe4b67, 0x4451b330, 0xf9fda0cb, 0xfb2f37f7, 0xe688d1e0, 0x610f926e,
+    0x12dd21e4, 0x6e4b8d37, 0xb483d423, 0x4cf0e4f2, 0xa84d4b10, 0xcb73517f, 0xe20f5b70, 0xc875d217,
+    0x6e0d3f24, 0x7ba27ff8, 0xc682c1e0, 0x53654443, 0x5bfc2f2e, 0x55596ddf, 0x3b41bfe8, 0xe246e882,
+    0xc0c73077, 0x6c9ded7a, 0x4a51676b, 0x337ae028, 0xa78cb96d, 0x2bb83a39, 0xf8575851, 0x7bebed38,
+    0xf9df5061, 0xfd094f91, 0xf0f54517, 0x412b10ba, 0xe2c87f78, 0xf0f0d9b6, 0x7a21254a, 0xe8897696,
+    0x615db19c, 0x9a00af92, 0xa42fbd24, 0x776de461, 0x9e9cbdce, 0xbc0486c4, 0x8fa4a9c1, 0xbd3789b6,
+    0x4ef91e04, 0x7a053103, 0x45011073, 0xfe1f6fcf, 0x7ff9f02b, 0x3cc15790, 0x498f96cd, 0xe3baed2a,
+    0x52898a7a, 0x7744aff2, 0x93833eac, 0x48d64a5b, 0x5c5c7316, 0xeb0c7a9d, 0x23776541, 0x0a5b4a89,
+    0xc4cde2c5, 0xa9153b29, 0xbd5b853d, 0x2dfcc540, 0x24a72411, 0xbe0f8eff, 0x0830b7f8, 0xd35531d0,
+    0x92763b4e, 0x7758d663, 0x9f2292a7, 0x4fb447a9, 0x2c8daece, 0x31b8e600, 0x00b4546d, 0x4d934a78,
+    0xd546f1d6, 0x61b4415d, 0x23e7b0fd, 0x4440574f, 0x96d396ae, 0x36d6ac2d, 0xba86d13f, 0x456bfaef,
+    0xccddf2e0, 0x2f55e2cf, 0x4fe17114, 0xe8dd5611, 0x7d702d02, 0xac817151, 0x99916ffd, 0xd22d06e4,
+    0xb1aefc62, 0x409d7f13, 0xf0a1f342, 0xcec6e745, 0x6ded250c, 0xc810103c, 0x30ce56cd, 0xeabe718a,
+    0x853c0c0a, 0x57bca7ee, 0x202d0c2f, 0xda265abf, 0x491ac70a, 0x05bab731, 0xe095e187, 0x572066aa,
+    0x3b587149, 0xd46dc7fa, 0xefddfe0e, 0x1ed6224b, 0x5f37cf69, 0x0c3ee071, 0x23f95431, 0xe71f2a74,
+    0xee853b7b, 0xe6bb2d6b, 0xb56b8b55, 0xd5426c68, 0x7235558d, 0xede8d5ac, 0xa1ea4ad3, 0x6bc73cca,
+    0x9b7231b0, 0x039e466b, 0xae770fa0, 0xdcd83929, 0x1b0a1c5f, 0x680eec3c, 0x9472a6db, 0x623b1d80,
+    0xc26021f6, 0x54afcea8, 0xbea7375f, 0x9a3ccc8d, 0xca7f4e8c, 0x72e16343, 0x5d0e8c2d, 0x805adc9b,
+    0x00000000,
+    0x9d236d58, 0xfc6f675a, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000052656145834278593348959013841835216159447547700274555627155488768 */
+  { 0x00000000,
+    0x933b1f8f, 0x4f4e5c17, 0x8dd52df1, 0xe28c6c14, 0xfa265dcd, 0x30e58518, 0x8d9ba9b9, 0xb0ab288a,
+    0x500a692e, 0x9290b28a, 0xc60e58d9, 0x960cc072, 0x4da7496f, 0x065cb72a, 0x8a688dab, 0xa83808ee,
+    0x1a102fa5, 0xff608326, 0x7eccee24, 0xafc4ac93, 0xc981c350, 0x059f8c8d, 0xcc0c31c2, 0x5ef3562e,
+    0xe2aebd14, 0xd21c2fe6, 0x8ce66873, 0x134e5e4b, 0x99daf005, 0x23825171, 0xdccd7b7f, 0x858f99f2,
+    0x6426aacf, 0x1ada177d, 0x60821c3e, 0xb20af5dc, 0x6c1f09dd, 0x96e67c61, 0xf27ea542, 0x5cb48d9c,
+    0x816d6d43, 0xf9b7a951, 0x853c06ce, 0x2448dd7a, 0xa2c78153, 0xbe8bd717, 0x4bf01d21, 0x1e31da5d,
+    0x28af2ef5, 0x69d5cd1e, 0xdc6c58d3, 0xbc3f86cd, 0xf6e602ec, 0x66331af5, 0x9450418a, 0x7b1cd991,
+    0xdf3161e3, 0xe3819b1d, 0xcf1ca1df, 0x71ddeff2, 0x9d750d52, 0xc4b37652, 0xb4c61aea, 0xf0c52fdb,
+    0x4d2e8ad0, 0xbc1d151e, 0x746c7d9c, 0x2bff73fe, 0x3c66f42b, 0xedcb8c23, 0x3ffce71f, 0x1e152a19,
+    0x873580b4, 0x00d02b5d, 0x8e8cfac4, 0x70f33d8a, 0x74763d66, 0x1ccfe997, 0x0ee532da, 0x5d79793c,
+    0x12fcb10f, 0x50936822, 0x2c1c97eb, 0xcee6cb07, 0xef405749, 0x0c82f1c7, 0xf83bb8ae, 0x23a85780,
+    0xd5fc553a, 0xbf5bad3c, 0x2328faa0, 0xd7ce1404, 0x857b7974, 0x13c7dcea, 0x2acd4fa7, 0xf2e57c7b,
+    0x6ffa4d87, 0x0567a22e, 0x24c1ee45, 0x9663ba8e, 0x2b96df58, 0xf93a9efe, 0x3f33070a, 0xcda6be7e,
+    0xf3a7e64b, 0xbd6124d8, 0x800f2586, 0x5387c792, 0x7a60d575, 0x12d16cd0, 0xaa463f14, 0x1439a653,
+    0x673078f8, 0x91458032, 0x1f32549c, 0x201efdbb, 0x6f1580cb, 0xf46e0191, 0x0d9d43a9, 0x1a5bf7ca,
+    0xb970b379, 0x957cfd79, 0xf69db69f, 0x22ae0a5a, 0x32c11ed3, 0xed0fea68, 0x02da2f66, 0xbcddceb9,
+    0xb7411ed8, 0xfead5e0c, 0xe16f0ed3, 0x033cffdc, 0x7b6c066c, 0xb01e65dc, 0xc27d2d0a, 0xb68dbbf6,
+    0x8b0e0880, 0x6e221e0e, 0x965efa9d, 0x7925cb2c, 0xac07694a, 0xbe0ee902, 0xbb46564a, 0xbfb2044f,
+    0x65d40bdb, 0xb36eac2e, 0xc0cb49ac, 0x296a79fa, 0xf350a6a5, 0x13eec145, 0x6b5c9dcd, 0xac2e6d6f,
+    0x579290a7, 0xd2b0bfae, 0x832d0263, 0xa0d1b535, 0xc6afa562, 0xff97aede, 0xec0c91a3, 0xe75bf5a2,
+    0x62fd33b1, 0x12a08bc8, 0x0269ddce, 0xdd9fcf9a, 0xe335e659, 0x01bf3e21, 0xf827c8e8, 0xa563fd33,
+    0xe5b9f866, 0x83559af2, 0xb9f7c5f3, 0xc048a814, 0xcdaac727, 0x83b6934d, 0x00f41e7a, 0xd57faf88,
+    0x14d50265, 0x68906212, 0x21710331, 0x5604e1fb, 0x994189aa, 0x3f8cf27b, 0x9be496e5, 0x36ff238b,
+    0xa12dd748, 0xe5143c5c, 0xc21f4bac, 0x1d639e1d, 0x8e3886e8, 0xf6123ccb, 0x81c548fe, 0x051b0ab2,
+    0x3c42c8e5, 0xbfbdc82b, 0xe6c05ad4, 0xea8d2c28, 0xf1053245, 0xdfc973fd, 0x0b6e956e, 0x879d44e8,
+    0x5c7fab5f, 0xffbe73c5, 0x04a84ec8, 0x6c25a012, 0x4ef30c14, 0xe3e6071c, 0x0f9d811e, 0xdbbacc1b,
+    0xd68be429, 0x28972df3, 0xef9986b0, 0xabcff5f9, 0x549a71ec, 0xdf4c7320, 0x2df8c791, 0x00bca0ff,
+    0xe4e63163, 0x285f6b75, 0x958b8d93, 0x5169c558, 0xb7d28d67, 0xaee797e0, 0x79d20d6a, 0x75a8d4c4,
+    0x032e4167, 0x008627b8, 0xae2b5307, 0xb9383296, 0xb9891d1f, 0x9e285626, 0x070c427c, 0x8d57954a,
+    0x5dd7c3f4, 0xd8d6268d, 0x96428405, 0x34b91cfc, 0xa887d925, 0x2f23c18c, 0x5b3a324f, 0x22382574,
+    0xd7f5b191, 0x7ee420d9, 0x9ac2cf4e, 0x8b2ba1dc, 0x3cf4e356, 0x23a8507a, 0xed6df420, 0xe87aec6a,
+    0xda7b9eb7, 0x86ec402e, 0x4d6b9c19, 0xa18fed8f, 0x1d8f1616, 0x6705d0ee, 0xe6f074a9, 0x07ed53a1,
+    0xa686c6d0, 0x3106b565, 0x63cd50cc, 0xd1337e2f, 0xfd935331, 0x36aa76ec, 0x640e0fc4, 0x6cb1c11e,
+    0xa8ce1147, 0x521a47ec, 0x70826f8c, 0x71e49825, 0xa01e3f51, 0xdc811e99, 0xf5857956, 0x70a62b10,
+    0xec54c4d0, 0xd224a732, 0x7b0a00b1, 0x0cb236ba, 0xb161def3, 0x12ead216, 0x612f1250, 0xc5bb41bf,
+    0xdf7fda87, 0x86ead597, 0xe341e9c3, 0x312b57f9, 0xe38d4c9d, 0x42bfb0b7, 0x35a1c8cd, 0x6235e4ef,
+    0x7582f016, 0xf7953234, 0x1e351b28, 0x8d4cb926, 0x58e5895a, 0x2ba71f61, 0xcfe7d2b9, 0xbf93a3fe,
+    0x34753770, 0x08011f2d, 0xfe4fcc4e, 0xa137acf2, 0xc82e101a, 0xe151361f, 0x6d358176, 0x02922dd6,
+    0x6644fd41, 0x236345fc, 0x51b6d4b7, 0xaf15e10a, 0xe9350119, 0x720a0d8e, 0xc7ce67fc, 0xd19377af,
+    0x64ccd381, 0xba3279c9, 0x2124017b, 0x96c30d3f, 0x168edf7e, 0x0f1e3914, 0xbdee0016, 0x63472793,
+    0x5446bad1, 0x744a9842, 0x102033e1, 0xe201561f, 0x6bf8e0e2, 0x2ea7b8c7, 0x39ee65c5, 0x1164dc7d,
+    0xbbd0d88a, 0x7d12b536, 0x5d1fd4a3, 0x94e5df6d, 0xb270c6f7, 0x6fb971df, 0xe61e7c76, 0x52790202,
+    0x589caf58, 0x4645b94b, 0x728e4028, 0xb049a38e, 0xd6c9b834, 0x96f0d67d, 0x426d2c74, 0xee93d680,
+    0x93b08caa, 0x1949c049, 0x4186e059, 0x06da5cad, 0x5904698e, 0x27659b86, 0xd84fb691, 0x11cad1ff,
+    0xf738310a, 0xae39f833, 0x43c6b856, 0x49365f0c, 0x88aa9951, 0xb3d1c5b7, 0x143afd80, 0x58b2764f,
+    0x16437a09, 0xcec11cd9, 0xa09344a3, 0x20cf71fc, 0x5c070899, 0xc78643a1, 0xe23d70db, 0x18cc1aa3,
+    0xda006ba6, 0xba9d9d65, 0x9fe70780, 0x1821ccd4, 0x1f14eeb7, 0x5a6f2cbc, 0xf9ff81fb, 0x3b080b89,
+    0x91a68d10, 0xb744fbf5, 0x74bb131e, 0xb3395551, 0xb4cab8d7, 0x9469ba24, 0x09484ac4, 0xc54cc522,
+    0xdacdf730, 0xb8605bfc, 0x68106892, 0x24a8cffb, 0xf0c1ea3d, 0xcb2c5959, 0xcc690721, 0xd34b5646,
+    0x6e20a933, 0x37c8e694, 0x04248926, 0x9b049a38, 0x1179dac5, 0x1bdd6e1c, 0x83f79412, 0xb677a1ad,
+    0xb5d0f9a9, 0x9ebf1e70, 0xd369aa1a, 0xa67e7e15, 0x3a51b914, 0x07e523ca, 0x9e07385f, 0xf0c62543,
+    0x37ef39ff, 0x040e0de2, 0x083d4600, 0x6302e104, 0xd15ffc30, 0x20370793, 0xb6c5a18b, 0x39755725,
+    0x4429a0a2, 0x90c3ccde, 0xcdef64c4, 0xfc048fb8, 0x64b42fa9, 0x0eaabb55, 0x124df626, 0x70be0b5a,
+    0xbe4c72bf, 0x859ebd7f, 0x39333f49, 0xcaab0773, 0x5901f250, 0x4338e1a1, 0xe8534e08, 0xd32a4e46,
+    0x762366f2, 0xb5b22983, 0xb2c82469, 0x9d04f96c, 0x4dc374b3, 0xacda02c7, 0x89d413fb, 0xa144390f,
+    0xd23a5dea, 0xe592c46d, 0x3a5101e6, 0xa20f3955, 0x1d27e687, 0x45d329b0, 0x9df1354f, 0x3d9e7de6,
+    0x30ea8ca7, 0xbf22b4d8, 0x03862c57, 0x6af8bb24, 0xd5216388, 0xb90be30c, 0xa97b37f3, 0x8f416107,
+    0xfed68b1a, 0xe1e5663b, 0x74024623, 0x9b7e75da, 0x95812efa, 0x78be5e1c, 0x9494d3d2, 0xe0264abd,
+    0xadc2f5d8, 0xf1967051, 0xf2f4dfb2, 0xc0db98df, 0x100d25a9, 0x84612012, 0x9b1fc8cf, 0x0bdc00be,
+    0xdaebf2dd, 0xb248fb9f, 0x784c79ee, 0x57823778, 0x8694a87a, 0x9a722adc, 0x08e0d05e, 0x0d00ea96,
+    0x283239d7, 0x6fb5eef5, 0x052ed62a, 0x854a64a9, 0x6e3e265e, 0xfb192211, 0x38f07e4b, 0x3a8b2e9e,
+    0x7baf8f52, 0x55f77a61, 0xc9608307, 0x3b6e9cd6, 0xa77f64ed, 0x1a58932b, 0x04ccb061, 0xdb640d4d,
+    0x29d82e2a, 0x27aeb8e7, 0x1fd46b65, 0xa0e33547, 0xdda32440, 0xa275a3d3, 0x72de22c9, 0x390382e4,
+    0x8cdcbe1b, 0x72aedc12, 0x806a8e79, 0x8cfc40ba, 0x16e7310e, 0x712e56b2, 0x05110c64, 0x10d7d2fa,
+    0xfc4f49d9, 0xb47d6578, 0x6549a330, 0x81efad71, 0x4bd2e89e, 0x106c5281, 0x8cb5a239, 0x2362848e,
+    0x39ff4ad9, 0xb6f92070, 0x725bf061, 0x9c6583be, 0x62a4927c, 0x04f509fb, 0xc5cd166d, 0x56815937,
+    0xc8f6b65c, 0x8b5ccd6f, 0xe8a76fad, 0x9996a212, 0xf470ab61, 0xaf4ad62f, 0x7d927f66, 0x40dbafd6,
+    0xf93ba074, 0x50522e5d, 0x1b689135, 0xece94372, 0x18b059aa, 0xdcbb3f50, 0xadd8e5dd, 0xbd8808c4,
+    0x8d3a38af, 0xec48c3b3, 0x3fb393fc, 0xd6e4aaa0, 0x625798f2, 0xbd78b0b9, 0x38cafb16, 0xb6d2609b,
+    0x1cc1d997, 0xf384f22b, 0xafe3eb9b, 0x4727e1de, 0x9f9a491e, 0xb7cc95af, 0xb71a29c4, 0x2ecebba8,
+    0x72158a45, 0xbcb080f3, 0x74281510, 0x1fe33e9a, 0x671f0f58, 0xa127287c, 0x26e1cfe7, 0x75e2976b,
+    0xb4ef8fa4, 0x79b2c278, 0x77ed9a5a, 0x9f6a78e6, 0xc730277b, 0x28b388d4, 0x48473449, 0x51a827e4,
+    0xcca8738a, 0xfb0f35e5, 0xea6fbe21, 0x8ecadac5, 0x54596bb8, 0x05d338e1, 0x17bf149c, 0x84255371,
+    0x667b4dbd, 0xa3899284, 0x9817691e, 0x655d6866, 0x50d4fb90, 0x43cc01c5, 0x9685b922, 0xda31ffc5,
+    0xe6284969, 0x6d4beda9, 0x4bfd8e9c, 0xf5c847f7, 0xda6ac0dd, 0xf85a7d94, 0x1c6c63e9, 0x4cfd0030,
+    0xfbcdd044, 0xd3650425, 0x42ed53b4, 0x52097665, 0xeedab585, 0x31f05196, 0xc739663b, 0xfd4c9006,
+    0x4d0f5a98, 0xef462239, 0x23fb59d9, 0xdef282d9, 0xbde3f0d1, 0x1abf4ff3, 0xa1a77156, 0x6cd77f8a,
+    0xba918d0d, 0x99cbff10, 0x415623ea, 0x4d47f91b, 0x86c900cf, 0x7c07de96, 0xe3271d51, 0x86dec3c1,
+    0xc19a1c7f, 0x0d3bcaf8, 0x0530f840, 0x182f770c, 0xc8c91df9, 0xc480f760, 0x7d5104a3, 0x174b62fa,
+    0x85d027d8, 0x34f3db75, 0xf03987ce, 0xf7c52ab9, 0x6054c8fa, 0x0bc4624e, 0x1c01f137, 0xc3eaf82a,
+    0xf6643133, 0x8e82571e, 0x8e650e25, 0x63d1601c, 0xb15c7217, 0xe61cd4c2, 0x6e487d77, 0x56905b16,
+    0x3073e378, 0x115ce310, 0x2f40ff2f, 0xd353a064, 0xde845d27, 0x5717f886, 0x67752fb1, 0x329b7316,
+    0xd9c45163, 0x4fc2c3df, 0x2a0f4c0a, 0xaa0cc2f3, 0x50cdaed4, 0xce029ef9, 0x131802c3, 0xa909ba2b,
+    0xc9c3e7d0, 0x0630cb62, 0xfe9c3c5e, 0x24bf344c, 0x66716fe0, 0x50b96d4e, 0x2b92c8aa, 0xa1253a44,
+    0xf5756b8e, 0x43fe1aee, 0xb4b98867, 0x5a7c1746, 0x012378fd, 0x71bfeed6, 0xff4a5ba4, 0x87e53b91,
+    0x76a36eae, 0x62368fd9, 0xc5c37f2a, 0x4d4101e6, 0xdf1592a9, 0x9a143918, 0x70b7b7bb, 0x08178f43,
+    0xc85c5db2, 0x4d8dcded, 0x666e891b, 0xc942a72b, 0x933ea8d0, 0x5c616831, 0x53e17b1a, 0xb228fa40,
+    0x99ba4c56, 0xf62fd288, 0x019e6791, 0xeaaddb20, 0x56e12397, 0xb2a0a67a, 0xbe5e3702, 0x420132fd,
+    0x367987ae, 0x99b5559b, 0xed52adae, 0xb0420c0c, 0xf553bf37, 0xff98825f, 0x85b1c606, 0x9ce4b4de,
+    0x9d7eb156, 0xee179304, 0x001d78b6, 0x2e96fad7, 0xd77eb417, 0xbb3df482, 0x7baa2c0f, 0xb9c0756c,
+    0x51d4ef99, 0x73e8bde5, 0x08e988a6, 0x83779299, 0x0e26403c, 0x02fc4a56, 0x2cad4b8b, 0xb9c55d36,
+    0x8f52f3ee, 0x0e988db8, 0xf022c53e, 0x8fd84419, 0xc51190fe, 0x939aaae5, 0x4e5b0866, 0xaa110c66,
+    0x22cad965, 0xaf1bb0a0, 0xa6f23cc1, 0x3acaf89a, 0xaf8885f9, 0xbed6e07f, 0x500bd38d, 0xc2cd4299,
+    0x17aa09f7, 0x69d401b5, 0x6c553997, 0x312021fb, 0x30d68882, 0xe3c8216e, 0xafcdef25, 0xb8d13b2f,
+    0x3f980f5d, 0x6ceb8175, 0x858c3c15, 0x149a690a, 0x81b62155, 0xa0dd290a, 0x14ffb2fd, 0xd8309481,
+    0x63b168e7, 0x25f311e7, 0x1e73b67b, 0x68ab6c7a, 0xcde05d4e, 0x54274200, 0x06fd8e9c, 0xa306542a,
+    0x928196df, 0xe541a66b, 0xddfc1abf, 0xa2f4b7c7, 0x423d8822, 0xbb36bac8, 0x7613159e, 0x8babb9d3,
+    0xb21753e8, 0x2848966d, 0xb70bcf90, 0x8c09f39c, 0x029a7fb0, 0x4245b12b, 0x805c039e, 0x12d1fe2a,
+    0x5469e4df, 0xd7168252, 0xcbda2301, 0x88ac8587, 0x3178cde7, 0xf8f6ad60, 0xdf3792df, 0x4cbe1614,
+    0x7a0bd295, 0x490b552e, 0x4f12e904, 0xb10786c6, 0x7137d4af, 0xe36f3b8a, 0x7cbb3db8, 0xc6562ab4,
+    0x501d86fb, 0x8a0cfbed, 0x1514c655, 0xfc4518c8, 0x16cd8910, 0x2b80b93a, 0xf4a618d6, 0xc5ab7374,
+    0x9dc9dce4, 0x713a1636, 0xb3a22594, 0x0cd031f5, 0x2376ca7f, 0xee95256e, 0x98013444, 0xc53d395c,
+    0xb53efa06, 0x42a507ab, 0xf4234af1, 0x664f477f, 0x0b6bbbf1, 0xc766f90c, 0xcb837f37, 0x17a2dc53,
+    0x566ce13c, 0x46098a07, 0x5ef6815c, 0x360dbd8d, 0x1a9a1f23, 0xf7b272ea, 0x9c5542c7, 0x5094c8ce,
+    0xa9143b72, 0xb3fb3de7, 0x81446784, 0xbf77e8cb, 0x397a4d65, 0x7f532ae6, 0xbf4dd306, 0x6670c11a,
+    0x2aa6f52b, 0xbd8d0135, 0x02fe62a5, 0x98d89ac8, 0x757feefe, 0x5f960d7c, 0xe639a54c, 0xb229636f,
+    0x618d8491, 0xfcd7f459, 0x9695de34, 0x3e04beba, 0x64ebfaa6, 0x3e2ab334, 0xd99c9be4, 0xc136afa8,
+    0xa23be091, 0x6d39c679, 0x7df1cfc8, 0x0177e5b9, 0x9ef96e34, 0x5df8fa57, 0x35f55329, 0xe1a346ab,
+    0xf25078c3, 0x9d410631, 0x1251541b, 0x7ef5716d, 0x6cdfdcee, 0x44f74c46, 0xa06b9e9e, 0xa135857d,
+    0x101967df, 0x78a8e642, 0xc56db44c, 0xccf3830a, 0x06680943, 0x3b7f634c, 0xb6ded15d, 0x04b3bc0e,
+    0x36d73af7, 0x1233efd0, 0xf5546d41, 0xb028344d, 0x56b8b5cc, 0x163782aa, 0x86535023, 0xfcc76c36,
+    0x974b008d, 0x9331bad7, 0x667b7bc8, 0x8409ca75, 0xc99291a9, 0xa1df0bc9, 0x1eb19bb3, 0x551bb96c,
+    0x65a33e4f, 0x38fea66b, 0x2500324a, 0xb0f28a70, 0x25a889e4, 0x978a52d1, 0x363ac53b, 0xbbedb639,
+    0xe24a93cb, 0xbbf87628, 0x9c620d8e, 0xd6cd68b7, 0x638d5d8c, 0xdb746c50, 0x425417d8, 0x43576e49,
+    0xa01e0815, 0x8ac9e3d0, 0xcd31ec9e, 0x91efc6d7, 0x8eaa171b, 0x2e062d91, 0x9e867308, 0x65dc8448,
+    0xb8bea858, 0xc30a3ceb, 0xb281be02, 0x39613301, 0x2492a9cc, 0xfb482142, 0x3733a97f, 0x2d4809af,
+    0xdc830d62, 0xbaec85a9, 0x9c6e23f6, 0xfbe74e81, 0x72f88343, 0x72bc6b18, 0x2fad72ca, 0xb06591b5,
+    0x13940970, 0xb1eff23d, 0x0d46c867, 0xc1c397cc, 0x36b2fc4e, 0xf335163b, 0xfbb24d7a, 0x6ef2bfd7,
+    0x4282c601, 0xc52524c2, 0xd6dceae4, 0xa510cc9f, 0xc005c509, 0x198d3c89, 0x9ed0e936, 0x2e912278,
+    0x2cf66150, 0x2d68e0ff, 0x390223d9, 0xfb9da2fe, 0xe66ca839, 0x776b3eca, 0x6b0382bd, 0x751fae40,
+    0x6986374c, 0xd7942a09, 0x411559ae, 0x5c873ddb, 0xd50d7099, 0x9be6383c, 0x4c73565f, 0xdac48bf6,
+    0x682932df, 0xf9d22571, 0x38ea15f5, 0x0800cede, 0x439796c7, 0x592b6232, 0x53672eb4, 0xd44e1ea5,
+    0xcc8f483c, 0xf32cc8a9, 0x6c9fe1c2, 0x58ec0c46, 0xd44ceb66, 0x2427d231, 0xd6117cb3, 0x69c70a3d,
+    0xacf9b924, 0x3d477549, 0xab9c2403, 0xf30e40dd, 0xf91a0d5a, 0xb0d5c722, 0x33d62fc6, 0xd688deb2,
+    0x9ce78c40, 0xbdaeef62, 0x21fdf767, 0x0157b194, 0x2bf44d93, 0x1db7fc2f, 0xba9c11d8, 0x987acf11,
+    0x774158a5, 0x20a1429e, 0x8f9197ce, 0x99acac2b, 0xed7465c6, 0x0f544bd9, 0xbe49654f, 0xb545278c,
+    0x00000000,
+    0x4e91b6ab, 0xfe37b3ad, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000026328072917139296674479506920917608079723773850137277813577744384 */
+  { 0x00000000,
+    0x56137024, 0x9e3fd44e, 0xccdbcb97, 0x698665d2, 0x8d6772dd, 0xdb92de93, 0x5a544014, 0x2b59b45d,
+    0xa4d9ad29, 0x81b7c857, 0x2b085c62, 0x145ae519, 0xd2f5f008, 0xdf1b2ec7, 0x275cf7f9, 0x1697822b,
+    0x492a41e9, 0x6a312c5e, 0x6d3c2237, 0x8ccd4869, 0x7297851d, 0xa2b3fab1, 0xda35b011, 0xe9c44c50,
+    0xa605da14, 0xa1b49cf5, 0x41b5d687, 0x8f45aab3, 0x1e94922a, 0x9bf1525b, 0xb771b970, 0xbffa660d,
+    0x1b4138fa, 0x23dba3c7, 0x35443e2a, 0x8a0d0abe, 0x5a773b0b, 0xfc6a07b3, 0x5bfd9327, 0xa0099e09,
+    0x246c96eb, 0x01b1243d, 0x021a5056, 0x4f988333, 0x5e990fea, 0x9b7edb5f, 0x0ef262aa, 0x2344cc60,
+    0xdf9e7a8b, 0xe9365753, 0x26302190, 0x0a41bea8, 0x4d0f09c2, 0xaf6d6a04, 0x98447800, 0xdcf0eb56,
+    0x9dd039fb, 0xab8453fc, 0x766c6557, 0x13cf4d3b, 0x5732f549, 0x6757e78c, 0xc091846c, 0x962c52d3,
+    0x2b21d3e3, 0x3976179c, 0x315fbcd8, 0x3bbbd8f8, 0xdffc75f4, 0x6ec55d9a, 0x1d092160, 0x7627ddcd,
+    0xdbcd8593, 0x978f7f9b, 0x8d795c48, 0x4bb72964, 0xa1ec7a23, 0x7017fd83, 0x6a4633d1, 0x24bed58b,
+    0x9c382705, 0x60402577, 0xc8a0566f, 0x9a6e4985, 0xde7421d0, 0x854aacd6, 0xfd74feab, 0x06c7d180,
+    0x94c7cc6d, 0xd21d6871, 0x6cb90184, 0x53f9b30c, 0xc117e610, 0x5c24e7bb, 0xadc2619b, 0x74f6e07e,
+    0xdff3a9b5, 0xcaf7d878, 0x1ba9b18e, 0xe2dbcef2, 0x51065288, 0x1a158e40, 0x9a3b835a, 0xb1982e81,
+    0x98853502, 0x2265d99c, 0x9666a575, 0xc3c90c00, 0xfa9cfa4c, 0x6f73811e, 0x131f7ba1, 0x775ac066,
+    0x047c58f0, 0xfbf42f6f, 0x3bfddf88, 0x3999efe1, 0xcf54d71f, 0x75b8d030, 0x0b30f2f6, 0xb5b63f27,
+    0x62c09563, 0x3db6d7ee, 0x9cdee9fe, 0x8da99acb, 0x5aabdc45, 0x6b293e96, 0x6ecfe171, 0xf1b61edf,
+    0xe8818f5c, 0x05f43d69, 0xe37dfe92, 0x0f393773, 0xba428280, 0x5e125eb8, 0x71f07611, 0xe35cc6e8,
+    0x2dfc15d3, 0xeb3c8007, 0xf4f8fb8b, 0xc53176a5, 0x75efe630, 0xd8202cbc, 0xbfb020cf, 0xfc68845f,
+    0x93e27463, 0xa0a7d3ee, 0x9af96e24, 0x1e6cfb7e, 0x4c996f4b, 0x3820737d, 0x8288fadb, 0xaa5a25af,
+    0xbc1cc1bc, 0x9d5fd632, 0xfa0dc11f, 0x1a2bb7b8, 0x1ad0441a, 0x7e4f438d, 0x161b7f8d, 0x9d9cd8bb,
+    0x1f6b6d51, 0xa8290abd, 0xaadd8ffc, 0x2b42f348, 0xf8841597, 0x791da70d, 0x0f09de5d, 0x12b7ef21,
+    0xc5463cf3, 0xec419b68, 0xc860ba0e, 0xed556998, 0x40f0e4d2, 0x03d12338, 0x6fcf5a0f, 0x3a272212,
+    0x6c921a13, 0x32446437, 0x7764a76e, 0x2629ab1b, 0x9df87aeb, 0x661c7d67, 0xcfbf3e9e, 0x5a130e7b,
+    0x654a3ffa, 0x5a2d67ad, 0x09b0a2be, 0xf7c134fa, 0x9561e75f, 0x81ba4bed, 0xa2701610, 0xaeafbf53,
+    0xedeb014c, 0x49a7f00a, 0x0ba5da65, 0xf517cfbe, 0xcbdaa9b5, 0x2f000611, 0x9920e592, 0x436ed2b6,
+    0x015e8ea1, 0x41d488de, 0xa2aab003, 0x3d78f3ab, 0x66526007, 0x4c758ecc, 0x98c1c86d, 0x165f400c,
+    0x2936b3e4, 0xec32ba4c, 0x967a6b08, 0x3d892ef8, 0x839d6aa7, 0x0ad07bc4, 0x6b400f3a, 0xe4fdd3ba,
+    0x8790d997, 0x27a79d92, 0x6bc1bd20, 0xc973fc9a, 0x6fa3ed6b, 0xd8291eab, 0x3c07e20a, 0xb1ee8501,
+    0x89e04069, 0xd8ed7df3, 0xe58460c8, 0x548253ba, 0x13193aef, 0x1a8728fe, 0x9770864c, 0xecb87d55,
+    0x14bda43f, 0x12152374, 0x7660f3b3, 0x51b4dd63, 0x7ee22059, 0x6ab7a11c, 0x37adde85, 0xaf790940,
+    0x8ce67389, 0x543f6154, 0xcc1d72b0, 0xd25fa592, 0x89e9070f, 0xc7c3faf5, 0x01655ab5, 0xfa563431,
+    0x021cdb10, 0x0bdeffc5, 0x2797663f, 0xd7f0d060, 0x5fb10c02, 0xc5bc01df, 0x8eabe49d, 0xb400368c,
+    0x76dbba3e, 0xf24cc86f, 0x99cd7e48, 0x3b87044d, 0x9f140efe, 0x5815a098, 0x8512077f, 0xfdc3b2f5,
+    0x53b1b2bf, 0x2eee6e4b, 0xee9910dc, 0xb5ab1601, 0xa7f01f1e, 0xab741730, 0x194a07c4, 0x4228b7b3,
+    0x9f78610c, 0x0d511522, 0x76535daf, 0xdbf6a260, 0xd54b8b9b, 0x6858db30, 0x91e57306, 0x136b37ab,
+    0x191ebc15, 0x90b52b54, 0x810892e6, 0x03daa4b6, 0x2ad414fb, 0x1ff3f109, 0x1be5084b, 0x44f9257d,
+    0x4a77c416, 0x981e7cd6, 0xd4563e82, 0x6be8cc32, 0x99a9f4db, 0x553acfaf, 0x20962313, 0x9fca5852,
+    0x2d91d5ee, 0x3ac077bc, 0x2e2e3e27, 0xd95bcee8, 0x69783b06, 0x0558d7d8, 0x6894117c, 0x1fd9e78e,
+    0x7cbaba5d, 0xfe871397, 0x61ba5678, 0xb286da43, 0xb6114c71, 0x6a771cf9, 0xc5d8d351, 0x86c443bc,
+    0x77457772, 0x84a640ea, 0x4b51b651, 0x894d1c39, 0x7cca1b0f, 0xf80505fe, 0x57f668e9, 0x156c30e1,
+    0xc68e6acf, 0x7acc5a2b, 0x6ae211a5, 0x12179386, 0xf389ffd0, 0xcd522832, 0x38d844ea, 0xe2aa1d2c,
+    0x2ca2bfc5, 0xf511a5c4, 0xad3803fb, 0x9356ddbe, 0x970223b0, 0x9aa366d9, 0x5804129f, 0x1efe17d7,
+    0x55105174, 0xa9adb02f, 0x514e9793, 0x3a4f2ed5, 0x8d69798c, 0xe76480c7, 0xba4e49fe, 0x8217a3fa,
+    0x413c78b6, 0xb9c1c7b3, 0xdffd6f29, 0x71bfd742, 0xd61141fd, 0x862dc468, 0x7a13c19f, 0x7a8b7839,
+    0xb1d1f13e, 0x753f6a5b, 0xe6cb1b96, 0x9a5e6e20, 0xaf20e383, 0x284b5da8, 0x16cf0120, 0x3d538395,
+    0x2a72836d, 0x0aaf8554, 0xa1473076, 0x8ba5874a, 0x4eb3f82e, 0x0285ad36, 0x6ac053e4, 0x0f3d1503,
+    0x4b5b83d7, 0x31983755, 0x46277e6e, 0xe1dc1aef, 0xaa7cb5e8, 0xcfe1ae25, 0x9b91d5c7, 0xd3488753,
+    0xe0dd25b0, 0xc41959cc, 0x36017db9, 0xae89fa13, 0x5616ff23, 0xe7f146e0, 0x8db148f5, 0x5af7f8dd,
+    0x21b8a5f1, 0x6f7c3802, 0xea53e873, 0x8e1862a0, 0x59ab8b62, 0x11c52869, 0x09a25d11, 0x44548554,
+    0xe3541b98, 0xa019fe7d, 0x6f3d6960, 0x905f5a9d, 0x23f7e8c4, 0x7ec4d737, 0x8def7d24, 0x2d066d16,
+    0xfd8ef416, 0x87b6004a, 0x6d46df99, 0xd65b514c, 0xe6cec1dc, 0x8d5f0a80, 0xd036bdce, 0x70f88798,
+    0x5dc7fac2, 0xad1d85d7, 0x3a6c6d25, 0x6760b7b2, 0x22751981, 0x1541a523, 0x790817ae, 0xd18f5303,
+    0x9b2c741e, 0xba76a0f5, 0x8bb1ac3f, 0x526c32de, 0xeac0fd40, 0x011f3814, 0x47ec44c8, 0x83d08678,
+    0x5677188a, 0xbc026a5c, 0x0e8f0b35, 0x36c4c0d0, 0x91af0128, 0xcbec5c30, 0x1735bc46, 0xa48213d7,
+    0xe851baee, 0x2782b1d9, 0xa65122d9, 0xc29718ef, 0xbd5c30a4, 0x4d650b66, 0x2c4788d4, 0x2a0779df,
+    0x3bf2656e, 0x7cdbdbcd, 0xf95c22b4, 0xd5df8aef, 0xaed2adfc, 0x6d1b2b17, 0x0a6a38bb, 0x456d1040,
+    0x1b3692c7, 0xe8e1bfe1, 0x255bd88b, 0x2623eae9, 0x51515651, 0x1682b43b, 0xb4c44c87, 0x450bc6b9,
+    0x23463be9, 0x27cce3c4, 0xc0e23444, 0x811c2a44, 0xb4058c0b, 0x3632d0cd, 0x87b8b669, 0xb545f376,
+    0xbfa1bdbb, 0x898dacde, 0x5fd0a281, 0x79d0c994, 0xd21e8fd0, 0x627d6e15, 0x93099a2d, 0x996eb703,
+    0x2e467c8b, 0xcfa0e3a3, 0xea4239b7, 0x8f54f2e9, 0xf91a29d2, 0x36e6b3a8, 0x62b59a63, 0x87bb9120,
+    0x7e148e50, 0x49119d5b, 0x13749d23, 0x93c016f2, 0x7bc22c72, 0x85b85566, 0x3c812ddd, 0x6ae4ce63,
+    0x6bf4eda6, 0x5312a008, 0xc4d6b6d9, 0xb92b495f, 0xad47bc3c, 0x4243a258, 0x409797ff, 0x9f7b89d6,
+    0x8a56e020, 0x7cfee983, 0x206d8159, 0x70d0a7f4, 0xd021f927, 0x869ac278, 0x2c60fecf, 0x16778bec,
+    0x8dfe2f81, 0xd6a0fd87, 0xfeaad071, 0x4767e1dc, 0x90d878f6, 0x0bfb32b0, 0x16fa94e9, 0xdb6adc96,
+    0x894eefb7, 0xf4fcbe7c, 0x1badb024, 0x7e8a777f, 0xa5dc8eae, 0x5e246ff1, 0xd5f9e8e6, 0xd1d529f1,
+    0x0ea22ede, 0xb877f4e7, 0x2c6dbf8e, 0xc24b254d, 0xd51b45b0, 0x60eba8c9, 0x43eaf391, 0xa3e50228,
+    0x01fa84a2, 0x7b779c63, 0x9d690e9e, 0xe9462c79, 0xd4d51eb5, 0x08a37e1c, 0x48557cee, 0xcac97bc1,
+    0xddca08e3, 0xf3da62c0, 0x15dc59a2, 0x7370e12b, 0x20bd19e4, 0x226ac694, 0x8a5b7fc7, 0x59c64df3,
+    0x2d264855, 0xa3a91faa, 0x79afb4b3, 0xcc0e5077, 0x59613305, 0x772d9a25, 0x05119dc1, 0xe47e1ec8,
+    0xb26985db, 0x90ed2518, 0xa66b9257, 0xc3823325, 0x048e4c4a, 0x47677a90, 0x1e02a0a8, 0x917a8c34,
+    0xf08216d6, 0x38b63dcf, 0x15aa4397, 0xf6af727b, 0x06405e62, 0xba4276d3, 0x08dd56b0, 0xf660baf9,
+    0xe6e6ecb8, 0x6b7364d9, 0xcfdc02c9, 0xe6ae3932, 0xc14b4a03, 0xc47c652d, 0xe4989130, 0x32381691,
+    0x161b66e0, 0x167fe138, 0xa035f67f, 0x058b973c, 0x13fadba9, 0xc46b70bd, 0x0ecd5f98, 0x74815af6,
+    0x211b29b5, 0x7d8fba21, 0xe21f8549, 0x816f5b70, 0x0dde4b8b, 0x6de5b58b, 0x997e42a1, 0x2111cb85,
+    0xac60bca6, 0x58cceb42, 0x392a0e28, 0x4ebd1975, 0x5c2f8c34, 0x9c5e4846, 0xebadfd24, 0xa84ac574,
+    0x9707f07c, 0xfe1e9383, 0x26e6888a, 0x87a157da, 0x93faa505, 0x5d139b13, 0x4642fd54, 0xc7734e37,
+    0x0759d3c3, 0x9fbee6cc, 0xcc83f12b, 0x9282b62e, 0x5a3ea97d, 0xff37861b, 0xc5958a23, 0x7cd96ceb,
+    0x65b071d8, 0xeda3c7c4, 0x82c93b6a, 0x64094528, 0x1820274c, 0x2ca7a94a, 0xca470eaa, 0xd8cbebfd,
+    0x99e3fd94, 0xc0bf044c, 0x3b996499, 0x1d4bbb8f, 0x30d373ed, 0x4c72dc3e, 0x057795c1, 0x261b15bb,
+    0xbbcaa892, 0xbe0c8f65, 0xa5867b2c, 0xe6002836, 0x7757da7d, 0xff3dcff0, 0xff685caa, 0xd366909f,
+    0x17a1482f, 0x47adc8b2, 0x5dde5f59, 0x4b150d13, 0x31e6d19a, 0x64e68273, 0x7a0dc7f9, 0xaaac119a,
+    0xd9297b84, 0x6837fff8, 0x801f5aac, 0xeb88aab2, 0xe5d7a34c, 0x4e19db74, 0xa4e1444d, 0x30a64b8b,
+    0x9af65603, 0x2c82a417, 0x6b23b9ad, 0x8dcc085d, 0x76dcfc6e, 0x04cbc5d7, 0x2af29a72, 0xd84344ca,
+    0x338bb8af, 0x15427fa0, 0xe868cfd6, 0xa6f6e190, 0x1fee5bad, 0x5ff1299d, 0x35c9d3ff, 0x290a1fa8,
+    0xf03da870, 0x65e2253d, 0xd6a509f1, 0x78539efc, 0xad259065, 0xfb3dcdc2, 0x66a60721, 0xc4fe8150,
+    0x226d0efd, 0xdfcb76dd, 0x0e925fe5, 0xd2315299, 0xd50ae7ed, 0x5fde2e4d, 0xca051cae, 0x7b5b864c,
+    0xde9a01b2, 0x81316c00, 0x326c99db, 0x03f92d9e, 0xf2f8d58d, 0x61f475b9, 0x60bde3bd, 0xc6a50465,
+    0xe1e17e5e, 0x35fb1249, 0x05807513, 0x0acbd647, 0x531dbc78, 0x9fa9aad7, 0x1dfd2cf8, 0xdbe3d9b9,
+    0x440c02d8, 0xb974b495, 0x01571dc9, 0x161337b3, 0xc9640181, 0xde384cf0, 0xd5d788fa, 0x38c22055,
+    0x2b6d5b8e, 0x2d6752cf, 0x6e04d718, 0x2aa1cebc, 0x65004783, 0xa8e03430, 0x766d3240, 0x6a449397,
+    0x322476b2, 0x32c6d72e, 0x43409040, 0xaa65aff3, 0x9e171b99, 0x33ce58eb, 0x97a2e5f1, 0x439615fa,
+    0x175d7ff5, 0x96712a8f, 0xdab1a410, 0x36b50dd1, 0xfb6101cd, 0xf7953485, 0xe2556d4b, 0xd06d780d,
+    0x5fa3f8e4, 0x31db0800, 0x0d65b841, 0x03b44033, 0xdb98e3c4, 0x25ed3c37, 0x1718c6f8, 0x48b792fe,
+    0x850a0e38, 0x363b0c11, 0xb3879955, 0xa9c21b45, 0xd352d974, 0x918bff2f, 0xc0f5c3e1, 0x3d916e88,
+    0x9cae0dc1, 0xc8b133e2, 0x699a0fd0, 0x342a5682, 0xfe25556d, 0x767928c8, 0xcb51f905, 0x2fbb7380,
+    0x4f7bcc92, 0x01bd85d3, 0xe8986a5e, 0x57b3b4cd, 0x34b47089, 0x1a052830, 0x34776d39, 0xdb4d8fae,
+    0x6ce7145a, 0x7c389bd0, 0xcb00c291, 0x6cd882be, 0x4d9c95d4, 0xe9faf202, 0xa41e1226, 0x314011ee,
+    0x4c4f1001, 0xf071d896, 0x742c51db, 0xec9a74dc, 0xca2c6539, 0xfd9f382d, 0x6b78cd67, 0xe2bee071,
+    0xca81a0d8, 0x12246a1d, 0xd2f19cf4, 0x71dc9b66, 0x57ebacbe, 0xc9fafc5b, 0x5c963b6e, 0x5ffd38a6,
+    0x22ea2f92, 0x46693283, 0x418d7e5c, 0x2be3fdbb, 0xbb304c2c, 0x4588110e, 0xbad9ba3f, 0x1b7eeacf,
+    0xde048b61, 0x237036e2, 0x3d4dd525, 0xe6618e61, 0xc3bccdef, 0x445cb9c8, 0xb2e7940c, 0xd4747cc3,
+    0x9c4c030e, 0xbbde29cb, 0x12b75099, 0x23a7c977, 0x705db94c, 0x303ea50e, 0xff0b4612, 0x973fa1e5,
+    0x3994b8ac, 0x50bc16d9, 0x39fee1f1, 0x8eb2d636, 0x835bf9fb, 0x4111463e, 0x09bce0f3, 0xeaed620d,
+    0xc68c0fdf, 0x83f298a1, 0x7f025a04, 0x918ade11, 0x519b5dde, 0xb20990b2, 0x1f5d8b95, 0xd5347b31,
+    0x84b85c0f, 0x00ab8f7c, 0x89654693, 0xb7a3d738, 0x6aecf3d4, 0x7f889649, 0xb85a010c, 0x5788016a,
+    0xe56f641d, 0x2ecd5dcf, 0x801b3c5b, 0x84df73b3, 0xc7614f8f, 0xae3fd333, 0x33e18d22, 0xf1b39698,
+    0xd9a82061, 0x64e06795, 0x0a543a50, 0xa7a3ae02, 0x872fdff3, 0xf6a81290, 0xd2ba7b9b, 0x0c7a873b,
+    0x5aa16131, 0x64e36846, 0x326d5797, 0x5dd334d5, 0xdfe39654, 0x3ebaea1b, 0xe0eda22d, 0x8ed871fa,
+    0x2fa261cf, 0x4f5e1d77, 0x229a3b8a, 0x00ac56ca, 0xb87f03be, 0xe1457dc4, 0x86281b83, 0x3b70a13f,
+    0x57a365ec, 0x2e4b86f1, 0xe832fa55, 0xfa5e9b2b, 0xba468937, 0x392e6273, 0x9311b4b5, 0x2d994e77,
+    0x27fb6900, 0xc644ec2f, 0x7a74914a, 0x80670237, 0x58d865d0, 0x6590ea2a, 0x6567b2bf, 0x93b1cdc6,
+    0xad71363d, 0xe6ba220e, 0x57f4abfe, 0x7c32ea95, 0x4f0f48cb, 0xfd0120b2, 0xa00de345, 0xdf7db856,
+    0x025c00d3, 0x250da246, 0x89649e0a, 0x9a5510d0, 0x7987a3e4, 0x2cabbd4a, 0x23f57d8c, 0xb6d10cb7,
+    0xf1a3b5e6, 0x7ad4163c, 0x89ddbaba, 0xa1840c6a, 0xae4aa40b, 0xbe052a78, 0xa3b60778, 0x80a25882,
+    0x2f0882e7, 0x77645b1c, 0x0c9909b0, 0x23924523, 0x672ade00, 0x1fd755b0, 0x69d93eff, 0x2dc1155f,
+    0x8a196b19, 0x1a07595b, 0x0c0c1d74, 0x74b6eafc, 0x6a0d239b, 0x4d08fdd7, 0xe72b0e13, 0xec859e9b,
+    0xa2b1e56e, 0xc05f78f8, 0xc78c3bf3, 0x632dfb74, 0x0f739359, 0x93722e1d, 0xb592da02, 0x80ba1e36,
+    0xbde3c758, 0x18ff2c75, 0xaac11f8f, 0x2c93a569, 0x8eebe338, 0x6bc5f934, 0x0d7bf220, 0x2090e48e,
+    0xeb10dfed, 0xff49003f, 0x6fe8324d, 0x6107bcf5, 0x18648b0e, 0x0f98fbc7, 0xec7ca7d4, 0x4204db8c,
+    0xa581e270, 0x8434a7d1, 0x7eb92b13, 0xc16e64c2, 0xc28b204a, 0xb18d04ad, 0x13ed67b1, 0xd17b8a56,
+    0xc97e4dcb, 0x2e4e0d5d, 0x27c70565, 0xdab3f3a1, 0x71ec6e8c, 0x9ab56599, 0x7eff7a2b, 0xae4954f0,
+    0xa63e4729, 0xf3e19edf, 0x0cd54cbe, 0x81c7c3a1, 0x2e413818, 0x6a9e1c63, 0x9d676e14, 0x899d0c13,
+    0xae041fe3, 0x60cbbf57, 0xc61f2db5, 0xa55dd6a2, 0x507b96e7, 0xebe786ce, 0x438fffd9, 0xe686569b,
+    0xae02b3c6, 0x16db5d56, 0x8ae58c49, 0x7a0ace9c, 0x50654648, 0x2114547d, 0xa7a227eb, 0x1db252c0,
+    0x2b02d067, 0xe688312c, 0x0a98ea27, 0x822cd6fd, 0x89cf19ad, 0x5b36ba91, 0xd50bb057, 0xea902e52,
+    0x106e3f7d, 0x5b9e529a, 0xb616ac50, 0xb67012f5, 0x3af9ecad, 0x7f894d96, 0x22671be8, 0x9852ec8f,
+    0x00000000,
+    0xa748db55, 0xff1bd9d6, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000013164036458569648337239753460458804039861886925068638906788872192 */
+  { 0x00000000,
+    0x3077743f, 0x612fb6a9, 0xe4eb1eaf, 0x9cc96ffb, 0xe4b4801b, 0x4583a096, 0x1716e29d, 0x0e8d41c3,
+    0xef55c59e, 0x9db4a0bf, 0xbb46a743, 0x4bc476ed, 0x3904c28d, 0xb5eac8f9, 0xfeeac7e6, 0xc14ea348,
+    0xb4348554, 0x1b331f6a, 0xfd270f36, 0x8fa6e6da, 0x6b15991c, 0xe1bd9c33, 0x631b66a3, 0xa79e4624,
+    0x825821a2, 0x5484090e, 0xd4204d37, 0x87c5dd76, 0xa89215bb, 0x4a045e81, 0x07ca8935, 0x3a9fc598,
+    0x8a5ee521, 0xe486f86e, 0x859e9c0e, 0xd050927d, 0x44b72df3, 0xefcc541c, 0x23bd09c2, 0x7ed13926,
+    0xd64c9fa7, 0xcc7973e5, 0xd04770ab, 0xea4f3788, 0x7bff550f, 0xbfb61b8b, 0x6a9e538b, 0xf695165a,
+    0x0529512a, 0xaa5cd66a, 0xeaae424c, 0x4bd6b3d1, 0x872fff38, 0x2ac82ec6, 0xa52b6e9e, 0xf538d8e8,
+    0x981e12d6, 0xa07e6979, 0x6512b00e, 0xde928d73, 0xa8f4321e, 0x1881ebfe, 0xc3485db8, 0x7eae0945,
+    0x2e0a7f99, 0x388ad430, 0xfb5e19e8, 0x356cc688, 0xc33afc69, 0x67ce6bef, 0x22fc4c58, 0xc97d842f,
+    0xbed5533e, 0x80e2228c, 0xcd054320, 0xe49b83bc, 0x2cd9eea6, 0x88dfed55, 0xabd8cd74, 0xe2fb23f3,
+    0x8b9a878b, 0x5309a62d, 0xd92bacfe, 0x79a576b1, 0xc4c5b986, 0x9b8bb35e, 0x4a4d9d74, 0x75d111e8,
+    0xf751d1b0, 0xcd11c2bf, 0xf2f2c933, 0x7a8e241b, 0x3244e109, 0x9555c735, 0x43b004c4, 0x1fb3aa5f,
+    0x47253121, 0x58c63c17, 0xc2c054dc, 0xc3ca744e, 0x76881aff, 0xde63946e, 0xb365f39d, 0xd47a8684,
+    0xe24f9cce, 0x43ffb203, 0x86c2054d, 0x69e16054, 0x150bdfcb, 0x7b1fdb8d, 0xcc84afb7, 0xfc8e3a7d,
+    0x618b2a73, 0x88e94fc5, 0x6a1c6371, 0x67b82313, 0xc79cd4ce, 0xbf68681c, 0x755552b2, 0x6a0fff94,
+    0x074b6537, 0xfb357b2b, 0xc1887440, 0xb97cad9a, 0x51b25d29, 0x2f0f14c5, 0xa4ef82d4, 0xabcc6bbb,
+    0x8328d6db, 0xbd19abbf, 0xbb64a846, 0x9fce1a6c, 0x5f38760e, 0xe680bb02, 0x6148080e, 0xa835f48e,
+    0x4bb73211, 0x480329f2, 0x5f694629, 0xc9f71709, 0x87e380b0, 0x1b253b69, 0x9ecbcaa0, 0x034d0aa4,
+    0xa479a5d0, 0x681bed1c, 0xf9523f51, 0xc05eb7d1, 0x52a08681, 0xb8a9abb2, 0xc6535940, 0xa26852b0,
+    0xf97d3e7a, 0xc4f3877e, 0x7ac47f66, 0x948eb222, 0x445d9a8b, 0xafe97d77, 0x230b1a97, 0xce7e7d75,
+    0x59df9714, 0x63833a4b, 0xc2638f8c, 0x72201eb8, 0xe3816d59, 0x88e496c2, 0x3d22a018, 0x30e59e2f,
+    0x8b5d2d3b, 0x521f5af7, 0x8b0970ee, 0x74aea3ba, 0xd35e18e6, 0xf6839b71, 0xf779dea2, 0xe1f07931,
+    0x8b910124, 0xc23945b0, 0xcf11b0d4, 0xb5253c1b, 0x15e08a29, 0x58ccf80f, 0x01b5b84b, 0xa1c219d6,
+    0xc906e3ec, 0xcd49eff2, 0x2fbebf52, 0xa3d81c96, 0x3dcebcbd, 0xd2149d04, 0xe18debb8, 0x8fe26eeb,
+    0xb7531eb7, 0x1bbbcbe1, 0x0aec485c, 0xae9818bc, 0x2e8c425f, 0x7a6fdf78, 0x266b0b43, 0x3c647ac8,
+    0x489d48ca, 0x508514f6, 0x35cd3b9b, 0x8ecee342, 0x374e1d0d, 0x2a035391, 0xebfabcd9, 0x8071df0f,
+    0x4b57f49b, 0xd658b907, 0x198342c1, 0x633969e0, 0x8eedfc80, 0x85c3644b, 0x20072a4a, 0x254f2603,
+    0x18bf1297, 0xfb6f8eed, 0x3e42da78, 0x036d3d2f, 0x5c8ab70f, 0xd738b6ee, 0x441508e7, 0x5062300d,
+    0x69924ae0, 0x8bfa2e54, 0x41631dd1, 0x8307b979, 0x3efa88e7, 0x2196e258, 0xb01c2344, 0xbbaaa18b,
+    0x22c364c3, 0x87974bab, 0xe7a7621d, 0xeb7601fb, 0xd3b1ad15, 0xcd132dae, 0x6ff8934e, 0x63859b50,
+    0x39075d5a, 0xb16d565b, 0x083be15c, 0x568aac60, 0x32ef1fc2, 0x94a44415, 0x347c208f, 0xd1b21704,
+    0x99a58745, 0x64b6abc1, 0x8166d8e0, 0xc4549747, 0x34adae29, 0xd4390aa1, 0x199a6810, 0x70005b32,
+    0xa981ae8f, 0xc4ff01ab, 0xb3712668, 0xb7fbd0fb, 0xf9581922, 0xefd48a7a, 0xce567e19, 0xb369d9fe,
+    0x59600cde, 0xc233b134, 0xcf58138f, 0xa17bdd8a, 0xdf11e67b, 0xb786f11b, 0x66b85e0a, 0xbb5aaec0,
+    0xe2653dc9, 0xfcc8e95e, 0xbf110630, 0x2f4646ba, 0x65587ebe, 0x17610a74, 0x45d3be72, 0x38be430b,
+    0x8e997437, 0x4063ed3f, 0xcae48324, 0xac4876e6, 0x5ca3f080, 0x30a711d4, 0xdbfc5ef7, 0x0f2c10f7,
+    0x943e81ef, 0xdc86f011, 0x45e26e41, 0x632e809d, 0x2af5852f, 0xb460c6e1, 0x3ba4e983, 0xc53eb232,
+    0x72be719b, 0x98985cc2, 0xafc995ab, 0x76331062, 0x53cecfb7, 0xa96abfa4, 0x393ef53e, 0xdec7ee91,
+    0xbed33fa4, 0x8b7f69a4, 0x9ae9ac7b, 0xe3379f99, 0x4cda47d5, 0x69a3de32, 0x357343d6, 0x5d2d22ed,
+    0x049959c6, 0x004185b7, 0x99eacaa1, 0xb7eca2fd, 0x49710c19, 0x80ee5098, 0x73ebb94f, 0x06147638,
+    0x0ad6cb62, 0x73dcc3ac, 0x8952bcdb, 0xfc2965ce, 0xce4fb8d9, 0xe63e581f, 0x60138d7c, 0x53911553,
+    0x40f6af9d, 0xf6eb7ecf, 0x13e06cab, 0x8ed6c03e, 0xaa94af12, 0x830c8d08, 0xc91a8c89, 0x117f7a3d,
+    0x454025b8, 0xfaf70cb9, 0x7de4a63b, 0x2f1ee6a1, 0xdfd7c50a, 0xbb7b88c3, 0x365609d3, 0xd9b8138d,
+    0x4eced7bd, 0x4180560c, 0x10d1c793, 0x6141e015, 0x2d1c7bbd, 0x9a0fd7cb, 0x56ee642f, 0xcd7320dc,
+    0x7a0ef491, 0x93a5142e, 0xbb8723ef, 0xe28f8e06, 0xdfbeefba, 0x0ed1811f, 0x144bab3c, 0x6f27bea3,
+    0xb4d103e9, 0x5a73e0e3, 0x079afa0c, 0xb5662979, 0x25d7de54, 0x3914acc1, 0x322deb0a, 0xc57e881c,
+    0x0a95d4b9, 0xcd9d21f4, 0x0fdcce8c, 0xea2859dc, 0xe083c60b, 0x948f8a77, 0xe06b11b4, 0x68e5efc5,
+    0x64a755aa, 0x40321c7d, 0x80c69d28, 0xaae3e6cf, 0xcf7911cc, 0x6ce22411, 0xfaa9115f, 0x80821201,
+    0xb81b3572, 0xe484558f, 0xa41746c8, 0x34f24c02, 0x349aa228, 0x54e2e1df, 0x48d7d726, 0x87d27a9f,
+    0x95e98cdc, 0x814101b8, 0x98b3efbf, 0x52dd69e2, 0xd76e3428, 0x2a0e8da1, 0xbd261e61, 0xc57dd395,
+    0x3b2be402, 0x3ea21d38, 0x5c57a3a6, 0x4beec97b, 0x1bb50020, 0x5c36d2ad, 0x463d194e, 0x3be80539,
+    0x03f05018, 0x6bb91d7a, 0x8b531316, 0x43c91db5, 0xf166d477, 0xdcc4455e, 0x1fbb9976, 0x51d4a75f,
+    0xdc82cf65, 0xf20276e9, 0x4dfad476, 0x2354049a, 0xc1045049, 0x6b9d7b23, 0xf32fa1db, 0x49bb2934,
+    0x07366a79, 0x0e64f63f, 0x4691dc19, 0x7cd27d12, 0xadb6ca37, 0xd2330d49, 0x6e2b34e6, 0xfb8bd968,
+    0x6e3131b0, 0xb7fa0349, 0xf85eb387, 0xdf781451, 0x005e0275, 0x50746874, 0xdf1dc98b, 0x232e38db,
+    0x36d5de4e, 0x681bf070, 0xba585ffc, 0x5cb98395, 0x98745d2f, 0xa20000db, 0xb4f036b2, 0x23b750cc,
+    0x29741f2c, 0x7bb39f46, 0xc8495540, 0x119afad0, 0xf531c7cc, 0xd366504e, 0xb2f603f3, 0x01b38f6f,
+    0x087eff5f, 0x987197d4, 0xc1cf0b53, 0xaf244241, 0x5c2760fe, 0x6b935037, 0x4ba9c0a0, 0x0a04527d,
+    0x8d9fc65f, 0xf307f0cd, 0xcefcc9f6, 0xee429e5b, 0xccef71bc, 0x1da676a0, 0x2a46b5a9, 0xc9a0ab38,
+    0xb078d12e, 0xb3b22728, 0x82294795, 0xb98b9164, 0xc769b7df, 0xcb1f4e79, 0x25ae0ba0, 0x5858b5c0,
+    0x6fd44e5d, 0x310a12b7, 0x3701d2e6, 0x2de69afb, 0xe4568f01, 0x5bc87ba5, 0x24461621, 0xa3c251ba,
+    0x48b1491a, 0x599bde4a, 0xd1e8b53c, 0x0c895812, 0xd7d74dcd, 0x6cef1ddf, 0x3545b72b, 0x797399df,
+    0x58e6dee0, 0x68725299, 0xcc00b26d, 0xd710fad1, 0x154681e0, 0xbca02634, 0x8c5c8d7d, 0x8281b969,
+    0xab25d061, 0xd10414e1, 0x4d2c9cf2, 0x3ab5d268, 0x4badb3a9, 0x38bf77dd, 0xe9d34a7e, 0x89d5726c,
+    0xe12aa853, 0x3d0ca70c, 0x149c6eb2, 0x009e713b, 0xe25612ed, 0x80e72731, 0x92ef53e3, 0xecd16836,
+    0x51c855c5, 0xeaeb3b80, 0x86f788ee, 0x2a43670f, 0x649b37b8, 0x8f3bd201, 0x45c6e25d, 0xd7f82549,
+    0xc2e51765, 0x41304ed0, 0x62646d00, 0x32e81407, 0x936f5ebc, 0x951ae034, 0x302925de, 0x800fa887,
+    0x69c04c11, 0x3b28f408, 0xfd17e951, 0xb51a2f43, 0x3a1eec07, 0x2f183317, 0xeca127da, 0x58f8140d,
+    0xc746ed5e, 0xc1fb8549, 0x153546f7, 0xb7ec102f, 0x9942d59e, 0xef5f92f1, 0xd0192104, 0x336a376e,
+    0x514166b6, 0x4ff7c4e0, 0x3880a540, 0x3a16fcea, 0x7d7ac4bb, 0xe438e4a0, 0x438e5113, 0xa7922dc9,
+    0x80b7a8c6, 0x6141c3b9, 0x54248528, 0x1543a129, 0x7dedec34, 0x1aec7a63, 0x5fb80538, 0x877074c1,
+    0x7273d974, 0x13466790, 0x38152a20, 0xabaa31b7, 0x2c68a85e, 0xd4466950, 0x49c5950a, 0xeddc32e2,
+    0x3709464a, 0x1ecf31d1, 0xcea59872, 0x9ad18db9, 0x67649490, 0xe4aea7ed, 0xed646598, 0xc395b36f,
+    0xee932157, 0x508f0547, 0xc7dd67de, 0xb4d81ee7, 0x48051677, 0x04a7f24c, 0x538cf816, 0x38fdf3f8,
+    0xf3017893, 0x9192d5fc, 0x715db8ce, 0x287de9c7, 0xfc13ec02, 0xc1264159, 0x4ce1eb51, 0x0f6eb014,
+    0xa54504e3, 0x75f05307, 0x74094b0b, 0xe1267168, 0x43009b5f, 0xae72da20, 0x77e99d19, 0x28dcf47c,
+    0x0c37ae16, 0x475449c4, 0x4672157b, 0xc16e1e97, 0x862d84c9, 0x855aff5e, 0x877c03c8, 0x31bdc517,
+    0xf806bfe3, 0xdea43a36, 0x7ef2eee7, 0xf913c578, 0xbcc7ee44, 0x0d60d3f7, 0x042ebd34, 0x4a01772f,
+    0x390dba30, 0x9a3fc3af, 0xd0410e13, 0xc0e1750c, 0x81d9592b, 0x3d07e204, 0xfacdec7f, 0xc4fba41b,
+    0x8d822bd6, 0x492530b0, 0x3cf9f52b, 0x17f636b7, 0x6b5ddfe9, 0x6eeaa7f1, 0x0d40f429, 0xbc00a09b,
+    0x4fd42683, 0xa36352b3, 0x69d5b7af, 0xef953c6b, 0x830dd6c2, 0xb4e3a089, 0x8f97befb, 0x17bfc2c9,
+    0xe698ee41, 0xf4ca1a4c, 0x619b86bc, 0x378e87af, 0x04fc7a85, 0xa0a2873f, 0xc421add4, 0x22d02313,
+    0x4409aefa, 0x60915737, 0x35f83679, 0xb9b343d8, 0x265bcbb6, 0x78fb1b3a, 0xbcd07a3d, 0x9fba29bd,
+    0x2d8ddfb5, 0x14ee260c, 0x62a479bb, 0x57b0b5af, 0xd1486df9, 0x4a2e8c7b, 0x4dcf0b57, 0x34647fbb,
+    0xff4a3ad5, 0xfcbeacc7, 0x483a7b35, 0xfa3b19f2, 0x2e8ed7e9, 0x6bfcf226, 0xf6ad005b, 0xe94a227d,
+    0xb240898f, 0x149552de, 0x9f894bbf, 0x87121b14, 0x5d68f98a, 0xc9b7eba9, 0x6b7b3408, 0x7f774af3,
+    0xff5f7a2b, 0xd7dcedb7, 0x78a26bf5, 0x028dd193, 0xfb8b801d, 0x4d44d31f, 0xaa3e101b, 0x5c274b14,
+    0xa915e5fd, 0xd690eec8, 0x3034c9c0, 0x85c3bf3d, 0x111acaaf, 0x8e7dd9a6, 0x7fd10675, 0xca4f4712,
+    0xfa87780b, 0x446fe383, 0x4f57ce97, 0x3785eea8, 0x20e45e62, 0xfca51a3a, 0x38b6ee72, 0x1144b11f,
+    0x49c5bd2f, 0xd3786ea4, 0xd6653b72, 0xb728d13c, 0x5b72ad52, 0xb45c772a, 0xeb4ce3ac, 0x2bc10be7,
+    0x1343721d, 0xd9927d70, 0x99b9556d, 0x2689e306, 0xe1ca568c, 0x737f8a06, 0x834e3553, 0x4036cceb,
+    0x3ea736b5, 0x1697bc6f, 0xcbda4ed9, 0x595ac392, 0xb4a5ed09, 0x7d758acd, 0x0ac929c1, 0xd0dd3823,
+    0xb01e4355, 0xfdfa7744, 0x6082b957, 0xb83a93f3, 0x89de1492, 0x26f52165, 0x746dfb52, 0xd25b1e73,
+    0xbb15ae8f, 0x05546a2d, 0xa6cf00b2, 0xc629aa1e, 0xb19f970a, 0x60030eba, 0xb158f36b, 0xc4649e8e,
+    0xd8782cf8, 0xb655d64e, 0xbf1d8e7a, 0xd879e181, 0x11616df1, 0xed644a70, 0x55a5777b, 0x70fdd0ba,
+    0x5d770c18, 0xbe116b37, 0x42781a96, 0x2a2100ba, 0x04a0a78e, 0xf188d6e9, 0x39bc80e4, 0xf6fb1e92,
+    0x1e88981b, 0xb769dd27, 0xa22cb291, 0xbab58554, 0xf3465692, 0x4a1ee32e, 0x711194a8, 0x9e326369,
+    0x4a8f068f, 0x2fe6c5c1, 0x3f14f34f, 0xa344cc4b, 0xd5debe03, 0xc663d3c7, 0x28f88ab9, 0x755bd272,
+    0x4abd4f59, 0x1204f29a, 0x73c966f2, 0xaec980f5, 0x6d56f40f, 0xb9af5b2a, 0xe57f230d, 0xe58c00f0,
+    0xe0fa8083, 0x5e46ebda, 0x54fbe2f9, 0x31861f1c, 0x864563e2, 0x924600d2, 0x51ee02ac, 0xbd021918,
+    0xd97055ba, 0x6d37f715, 0x789bd374, 0xb297a841, 0xcdbf4910, 0x7dfd7eb1, 0xcb01a5a6, 0xef25d993,
+    0xbef9c46a, 0x3fde94a6, 0x8197e266, 0x728be995, 0x1452a9fa, 0x19ab45c3, 0xaed70dba, 0x11d4c391,
+    0x0735973a, 0x10b4ad18, 0x745d4561, 0xc16131c6, 0x3eb18c32, 0x316eca02, 0x2f7b114a, 0xb3a3b693,
+    0x9efa079b, 0x7cac0a61, 0x3e1dbb61, 0x36ce2b60, 0xd605d77c, 0x3311cc1e, 0xdeccc38c, 0x9391657e,
+    0xbd15562d, 0xee3b3199, 0x999f9d89, 0xe49ba85c, 0x9375c083, 0x79f5e2ed, 0x9725faba, 0xbc297133,
+    0x85958656, 0x51a68a62, 0x902c6306, 0x911a84f1, 0xc2b02ec6, 0x02d5e9b5, 0xf4349f4f, 0xb712ce54,
+    0xd6c0b45f, 0x2aa37b4e, 0x0fe83292, 0x22df47f5, 0x829aaf44, 0x19e7916e, 0x86deb530, 0xff2a1779,
+    0xedacd54c, 0xff173f41, 0xd873a32f, 0x512a8f0c, 0x4a960450, 0x7286d59b, 0xd3a34c37, 0x52a72aaa,
+    0x10abc18c, 0xf3df7e56, 0x653611ea, 0xe53ae7db, 0xa71ee589, 0x116d10fa, 0x82f31f1a, 0x1d32161f,
+    0x62efa78a, 0xa5c0457a, 0xbf728468, 0xb5a5e11b, 0xa390df2b, 0x7eca23a1, 0xf630ed46, 0x92402ab4,
+    0x29a6bb36, 0x73306477, 0xbc62b2ff, 0x720b5fcf, 0xda0556d1, 0x25f1cb82, 0x9007bd6a, 0xd2d00c6f,
+    0xc38c5a59, 0x1759277e, 0x4a410060, 0x95c23bbf, 0x7d639e41, 0xda83e749, 0x5871c48a, 0x08fb4c2f,
+    0x8e3ebd95, 0xb804c1d5, 0x51d0812e, 0xd01db3e4, 0x14a27261, 0x258108a2, 0x19e7c00f, 0x0a415658,
+    0x2414acc1, 0x9bfb3974, 0x10fffeb2, 0xd92e10a3, 0x1ae44eea, 0xf33da1c3, 0xc9c7f363, 0xe2514689,
+    0xe7b0abc6, 0x3dfe87c8, 0x6e4b7f68, 0x1787ccca, 0xb1ab4df2, 0x9935571a, 0xd15c0c08, 0x57df4243,
+    0x29b0cf6b, 0x70400ac8, 0x4c22b256, 0xef4c877e, 0xea194e11, 0x52877001, 0x8cfdca37, 0x433cc431,
+    0x85c56578, 0xd81d47e5, 0xeb8c4511, 0xa53ff013, 0x3d5bda5e, 0x0fa086df, 0x9ea45191, 0x684e5c9a,
+    0x944af80e, 0x770de075, 0x10c89bfc, 0xe042ed55, 0x8d2c625c, 0xba66c8e9, 0x2f4b14d2, 0x88881b66,
+    0xda3c48df, 0xc54821d7, 0x71944214, 0x96ef3a3e, 0x857e5f60, 0xcc1e4f33, 0x31bd8061, 0x3a7517d5,
+    0xc192c68d, 0xff016a35, 0x1966159b, 0x13e3db30, 0x6ff74f83, 0x3ec9e744, 0x25cfa3f5, 0xa3d6cd67,
+    0x231fad04, 0x824bffae, 0xc7fde48d, 0xe7390121, 0x7b6f42c5, 0xef242a20, 0x6f71ba81, 0xf7352b2e,
+    0x58a31457, 0xe37ce974, 0xce87b179, 0x07f106df, 0x0dff5985, 0xe228b562, 0x6872e100, 0xf0063abc,
+    0xb925ae89, 0x4d0a5e36, 0x45e7b82c, 0x9506b62a, 0xc982586f, 0x54fe53be, 0x7a72eaef, 0xde68ae4c,
+    0xc9bae667, 0xc1a3eefa, 0x447187d4, 0xf45a8c3e, 0xb54d0770, 0x015e99ea, 0x357bc745, 0xca3a82c1,
+    0x8ed3def6, 0xd630cd60, 0x7803bf67, 0xb0fb2368, 0xd58adadc, 0x7c57a292, 0x858ac45d, 0x68d1e6e4,
+    0x06b9ec45, 0x0c876868, 0x05d75ad4, 0x8c64a3da, 0x47b53af1, 0xc178e529, 0xcd3a036c, 0x8ba220c8,
+    0x00000000,
+    0x53a46daa, 0x7f8deceb, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000006582018229284824168619876730229402019930943462534319453394436096 */
+  { 0x00000000,
+    0xaf8b4ee5, 0xf98b1daa, 0x17883a62, 0x50d21693, 0x58f190c3, 0xcd43e055, 0x01b0e49a, 0x45ca1d8b,
+    0x2a21a8db, 0xf7c8dad5, 0x060155b8, 0xf496a101, 0xcda080b3, 0xb81cfb89, 0xd23887cb, 0x61ca294d,
+    0x3a6c14b8, 0x48e3f444, 0xef23d075, 0x5908ca29, 0x010bfcac, 0x1b5abcdd, 0x281bc2ad, 0xf02d0902,
+    0x7305d6e3, 0x2b713cd2, 0xb7d27a58, 0x60234ea4, 0x11111217, 0x973e1274, 0x92654c4c, 0xeb299181,
+    0x34d94a91, 0xd5ad2959, 0xd79b5188, 0xf47e1ec2, 0x5403b100, 0xe9f77a6c, 0x3de1c39d, 0x99eb85d5,
+    0xf6f35b0a, 0x442c95e4, 0xab76d99e, 0x805fde7e, 0x32539d54, 0xfa108e03, 0xe0329130, 0xab067909,
+    0x214c85c7, 0xf4a1e524, 0xda9f0c0a, 0xab0ee590, 0xa6778582, 0x3a2ad5d9, 0x2b10d688, 0x082fc861,
+    0x20237a55, 0x29c548e1, 0xe2ca2498, 0x96af6ca9, 0x6cf917fb, 0x3c095cfd, 0xd6d08272, 0x59b6d7de,
+    0xe668a82c, 0x8431f199, 0xec7973c7, 0xdd8fb64b, 0x3593909b, 0xf9da1183, 0x2ca57be7, 0x4e5efa78,
+    0xcf762b40, 0x89d375c3, 0x9cd9f577, 0x53dcd48c, 0x685257be, 0x00319c19, 0x6ec3847b, 0xcf016e89,
+    0x6aa53f73, 0xaa0001ca, 0xb3e5b77b, 0xf0563e1d, 0xd7bd0479, 0xe96a0c66, 0x96162026, 0x5ff5ddb2,
+    0x145843ac, 0x01064449, 0x1dcca74e, 0x78db868a, 0xe537794c, 0x9c88352e, 0x808c966a, 0xa902165b,
+    0x02861904, 0xa3ae7709, 0xfcf52a0f, 0xd965c30e, 0xada292c0, 0x2fa10653, 0x94e69e08, 0x1574d231,
+    0x462cccfc, 0x778fbaa8, 0x32952708, 0xc9b25b70, 0xa6c3ef21, 0x387fe0ae, 0xb98d3286, 0xee61c90b,
+    0xed69cc23, 0x15058d1b, 0xd3e68357, 0x71d110ee, 0x4fd34521, 0xc6cb1d77, 0x897ab7cb, 0xc2c5ea7f,
+    0x599867fb, 0xfc15e467, 0x877ff89f, 0xaf1d6370, 0x049e9b56, 0x96864a7e, 0xc1b51e4f, 0x4f7b94cd,
+    0x65609228, 0x427b394b, 0x4aa17177, 0x5ba6942f, 0x9e3c09b9, 0xf24aad45, 0xddb177de, 0xa65a19cc,
+    0x24aafb9d, 0x0c55c8fb, 0xa8bd5f92, 0x2cfbcdc4, 0x3b68b9e3, 0x61e54428, 0x84ef8da9, 0x0dd37eb4,
+    0xcb511c0d, 0x156ce87d, 0x9a241faf, 0xa8be0954, 0xa3982a5c, 0x9f769242, 0x3700c358, 0x56c7407e,
+    0xa16d5e98, 0x06a5b951, 0x6242657c, 0x0c1dd472, 0x4eb0ef44, 0x59df88fd, 0xf96d9b43, 0x887a696e,
+    0xfb4ecb71, 0x90f64895, 0x6f11e7d0, 0xe6fbeb65, 0xc4882af7, 0x8fff7aa0, 0x068e180f, 0x45b58016,
+    0xcbc47d9b, 0x5d5a213d, 0xdd594354, 0xd7e9c1f1, 0x796000b9, 0x70c11b28, 0x650e4e38, 0x4490cac0,
+    0xfcc3c9d4, 0xf2e69de7, 0xf6fa0d66, 0xf97eba2a, 0x3e9eab94, 0x112fc07f, 0x1e367bf5, 0x5aad2e0e,
+    0x4b0fd9fe, 0xb3a9bd9e, 0x977131e8, 0x7ad44695, 0xba1a4e06, 0x6a15cece, 0x8868aacc, 0xa67959e5,
+    0xa246db8d, 0x9bc92d21, 0x8d48ad8e, 0x4a6960de, 0x7155d027, 0x47c03780, 0x4bfd98b1, 0x575e21d3,
+    0xfd298261, 0x03c0e685, 0x543a986b, 0x7fa5fda5, 0x0a6cdb0b, 0x5df4f331, 0xe13a2786, 0x4a1d9178,
+    0xd6dbb638, 0xeb0fe064, 0x51ecc69d, 0xc9ae572c, 0x4ff2488e, 0xd9f24d79, 0x5caf870e, 0x1aa32a50,
+    0x674956c4, 0x65ebc980, 0x3b6b8c89, 0x784aac5d, 0x1c2ea131, 0x83c722ee, 0x0f9095b3, 0x040e2681,
+    0x9e6951d2, 0xc07d7efb, 0xc235979d, 0x54a929eb, 0x98d50f5d, 0xbae2c653, 0xaf824206, 0x80bcaf43,
+    0x5e1781c2, 0xa07084c0, 0xd348177d, 0x0bc76a9b, 0xa59e3dff, 0xe8c87daa, 0x8494700e, 0xa3e73e03,
+    0x031e3094, 0xc6e10329, 0x659ead24, 0x2880877f, 0xad23b10d, 0xf1086b1c, 0xf777a488, 0x938c7d99,
+    0xdbe003a1, 0x2bc5613f, 0xfeba5042, 0x8f181e8d, 0x171f5a03, 0x03a18008, 0x1fcd701f, 0x2e7259b4,
+    0x3d29f950, 0x10219ea2, 0x42a33a09, 0xd845f589, 0xdfc8060e, 0x9920f60d, 0x6b54bda6, 0x23971193,
+    0xf256bd57, 0x0cdfb3ed, 0xa93cbf3a, 0xadc4eb93, 0x405b4ff8, 0x9c681caf, 0xff2a5126, 0xf761a85d,
+    0xf4f2ad18, 0x26bc9d2c, 0x8c9ec9ca, 0xe5c640c6, 0xfd0ea867, 0x86fa692e, 0x775b219b, 0xc436d8ed,
+    0xbd04a566, 0x112d416f, 0x230e0ef6, 0x73f4a608, 0x734d9597, 0x39d81cb6, 0x62201dc2, 0x069aca0b,
+    0x6fb662cf, 0xe722db5c, 0xdc9edfc8, 0x5d991323, 0x2cc656e8, 0x0ce5fa71, 0x8bc4cdb6, 0x5541ef5b,
+    0xe48960cf, 0x904bd86c, 0x52fe4a98, 0xe55f4138, 0xe43c3087, 0x0e8b57e4, 0x5c7a8969, 0xf30ca8bc,
+    0x0e281b72, 0x2adf843c, 0x4fe1dcba, 0xe4fa4da3, 0xc7628ad3, 0x45be3d6c, 0x71f83c72, 0x26ab85e8,
+    0xd333e172, 0xca6f86b4, 0x72ba4429, 0xf0a8682a, 0xc85b3f4c, 0xe18ea8d6, 0x11e93f89, 0xdc6ecd13,
+    0xb4475e98, 0x11bfb077, 0x50b4169b, 0xafe6f76c, 0xa52556af, 0xfb47a775, 0x287cd34d, 0xb08a7744,
+    0x901be53b, 0xd0a42bd1, 0x42457a33, 0x786edbcb, 0x749d620a, 0xd5a570c0, 0x71f56c32, 0xeb5767d6,
+    0x9f63ca90, 0x1dd05bdc, 0x8c3c1f69, 0x615526ec, 0x1b55efc5, 0xfb9d6625, 0xeac16508, 0xb35c5288,
+    0x612a4f60, 0x0bde18b5, 0x6bce2a8d, 0x1d87503c, 0x4a2d0f2d, 0xe2f4f62c, 0x55d5c0b0, 0xfd727a35,
+    0x3f07692a, 0x1f538f8a, 0xdb23b943, 0x90e00486, 0x5a74bfc5, 0x2532414e, 0xb5ad1bfa, 0xe52273c1,
+    0xdc65fe31, 0x52339cf5, 0x6e13cc33, 0xe0910c45, 0xd7bf8c03, 0x2a8445fc, 0xe74a8962, 0xa3641bc5,
+    0x297bf63a, 0x3030635e, 0x4fbece96, 0xd76da505, 0x38461e63, 0x66be3972, 0xab048379, 0xf8715ec2,
+    0x6ee4ea2c, 0xd2497f7a, 0x1bd25068, 0x9ee02de7, 0x53654c15, 0xc1bd8d25, 0x601b398a, 0xe63b9a20,
+    0x53b8dc11, 0x6de02fdf, 0x90c386c1, 0x3e5ed410, 0xba103c26, 0xdda30516, 0xf298328f, 0xc0a8ff95,
+    0xf0330039, 0x01a3123c, 0x7fcef563, 0x8f729ef0, 0x6f6198b1, 0x9f752d0b, 0xd37c2981, 0x6ffd7c39,
+    0xc9235de5, 0x4bc9a4cd, 0xdc8bace8, 0x8a6a3dfa, 0x8f52887b, 0xe09a8391, 0xc68bdc84, 0xfab057af,
+    0x04aa4a22, 0xf32e1abb, 0x871a2142, 0x6ccd2140, 0x043a1ffb, 0xdd28d005, 0xbb5428f6, 0x50bdcc79,
+    0x93803218, 0x86d6f4d4, 0xfd2dd1e8, 0xe16a2520, 0x86d56c04, 0x55b0b051, 0xfb1d0312, 0x80c75f4b,
+    0xcb532000, 0xfe0c9c68, 0x84901813, 0x935e71b0, 0xe3c22eab, 0x10dcf5ab, 0x85236143, 0x8020c47e,
+    0x4244d4d8, 0x263ba330, 0x9136dd5a, 0x24d4ea54, 0xe34abf7c, 0x7d08a768, 0x0e2f884e, 0xef7262b4,
+    0x9398af11, 0xe3f615ee, 0x47276b47, 0x30c3562f, 0x166fd168, 0xeb1bfcb7, 0x10f73d07, 0x83a27196,
+    0x07a2b24b, 0xe850743e, 0xa9b49f0c, 0x6a146907, 0xa65dcbe7, 0x20d240fa, 0x02c3cf92, 0xc97af0bf,
+    0x5cdeff3a, 0x38962352, 0x134be0b6, 0x3a65cd84, 0x801a585b, 0xc28e62f6, 0x717eeec3, 0x1cd89045,
+    0xd9225ef3, 0xc5e5122e, 0x6eb3490a, 0x346f8a78, 0xf0e68f5b, 0xf77d173a, 0xa83adc3d, 0x6a5c4f3e,
+    0x786abf30, 0x2b0c9b64, 0xa29409b9, 0x748a2540, 0x34162c33, 0xdb40aea6, 0x9907ec7c, 0x6c1b4832,
+    0x18991281, 0x33a149db, 0x0634191e, 0x0ac6d1da, 0xc6036e8d, 0xd333456c, 0xdc71e953, 0x63d57241,
+    0xed93ed5e, 0x9ac32b92, 0xc072b2dc, 0xb3fee498, 0xec256ad1, 0x4d55a151, 0x8d42120b, 0xc81f5b54,
+    0x66bd6a36, 0xb77d09ce, 0x4e54eff0, 0xeca03704, 0x50828a77, 0xa8d6b0f8, 0x1c4e7861, 0x67b53ff3,
+    0x89d84046, 0xeaaa9bcc, 0x935e9173, 0xce71ed84, 0x834ad180, 0xf2a492f2, 0x665de981, 0x4e3b6d87,
+    0x94cbaae7, 0x10ed9404, 0x58381026, 0x97d3508a, 0xce072381, 0x36a2b144, 0x3758524e, 0xc4ff051d,
+    0x8dbac0be, 0x161cf08c, 0xc5e430ba, 0xce2d9f59, 0xabd6d7dd, 0x333083d0, 0xbb37594c, 0x2a61acba,
+    0x1aede376, 0x55d0dfb6, 0x3a4da8e6, 0x95409724, 0x06c0ee24, 0x893988f3, 0xf5d66b8f, 0x0fa0b9e8,
+    0xbcacabe3, 0xa6e6291d, 0x866fb07a, 0xeab25c4e, 0x5cc27d04, 0xb2624848, 0x2c26e28e, 0xc0727368,
+    0x52555823, 0x7e096fa2, 0x0f28dc7a, 0x3b1e9ffe, 0x7ee09fc5, 0x09098657, 0xb9b72bde, 0x3a772958,
+    0xd105439f, 0x6a33bdaf, 0x37211821, 0x6d9b30cd, 0x3d13e2a0, 0x76fb313a, 0xd46c26ef, 0x21479c6f,
+    0x57b91317, 0xe130b955, 0x32879a22, 0xf5d41e5a, 0x296a4200, 0x066695d1, 0x17533fec, 0xb7070488,
+    0x3fba3942, 0x871b0885, 0x198ca898, 0xe6503c7a, 0x9da56886, 0xf5a412d1, 0xf21ac73e, 0xdd63770f,
+    0xeb5c2b6b, 0xfd48ee19, 0xb81b5775, 0x739d1fa6, 0x67240a47, 0xf76d963e, 0xd421e13e, 0xcb1a98d0,
+    0x2446095a, 0x796773a5, 0xbecd34e5, 0xd868a3e4, 0x83f201cb, 0xe4ca642e, 0x98c6af0c, 0x924795f2,
+    0xf2c94fe9, 0x81cfca34, 0xe34b1e2d, 0xd43a70f3, 0x837f5b6c, 0xbde5f875, 0x1dd18a59, 0xad5c3ed6,
+    0xe917e2ab, 0x7a48e460, 0x41a915a9, 0x29e799ee, 0xcb631828, 0x4543ea46, 0x9d473570, 0x4706fd87,
+    0xa85b7a0e, 0x8786b09b, 0x05c4275b, 0xc1b0a3a7, 0xf3b540be, 0x598c35a7, 0x1e42bf42, 0xb5c1a910,
+    0x87e83839, 0xf90ba8a3, 0xbde67b0b, 0x590ef944, 0xcfd84c76, 0x29d9b648, 0x185cd2fc, 0xe3e51845,
+    0x2f23ae4b, 0xd7670803, 0xb97d2674, 0x2be0dc7d, 0xd0b41887, 0xef80d7dc, 0x330c54b3, 0x36d51469,
+    0xc426bcb0, 0x51120241, 0xeabda4f0, 0x2e63be23, 0x11b2cd3f, 0x9b3b21aa, 0xec3f9e0c, 0x3c99dabe,
+    0xd37674d1, 0x2a699d6e, 0x92508b31, 0x1c97a4a4, 0x0072b39e, 0x94912397, 0x7164a06a, 0xcc5d126d,
+    0x5bb5c285, 0x9a51301f, 0x7d4f36b3, 0x1f300bc5, 0x1cd48fd8, 0x8053bab4, 0x52c15719, 0x3a154cc5,
+    0x6e454adc, 0x1513fb8c, 0x391deccd, 0x00111703, 0x515d79cd, 0x472a5cf7, 0x8638ee26, 0xe5410e8b,
+    0xe8792763, 0x4bd87072, 0xe5c2245b, 0x603211aa, 0xb7971936, 0x35a8dcf5, 0x0dbe73a7, 0x5c399ac9,
+    0xe0845587, 0x493ac4ec, 0x94c88f59, 0xbea057ad, 0x885d3a36, 0xb6d5b40c, 0x735ac8b7, 0xd7f1ac9a,
+    0x386ab4b4, 0xe7163786, 0x520c58eb, 0xde6a554d, 0x5f7d9707, 0xbfc9c4c6, 0xbcb6eb3d, 0xce0ab6e9,
+    0xa1efd296, 0xbf75ec66, 0x45c23904, 0x81aecdeb, 0x25c0abad, 0xba925be7, 0xc8a461b0, 0x3337c9e0,
+    0xdcda58ff, 0x743f971a, 0xe8e050c3, 0x09487f6c, 0xe16b281b, 0xc033f7ff, 0x3d1b8e8b, 0xa0bca260,
+    0x6447984e, 0x68be1ce9, 0x4f7cda60, 0x563f8fd1, 0x1ab14250, 0xd568dffd, 0xee43ce21, 0xfe51eb9d,
+    0xf06aa905, 0xf50e17bb, 0x29959952, 0xb54013ce, 0x443b7c29, 0xeededb2a, 0xaf4adcf1, 0xaf715d57,
+    0xab3908b1, 0xb9abff1b, 0x687bc43b, 0xbb065759, 0xb3a2328a, 0x49a6cc9a, 0x5506a4b0, 0xf68ec592,
+    0xe600118a, 0x375aeba3, 0xc9dfe596, 0x468bc001, 0x3c48bd81, 0x5680aed5, 0x7434c1ae, 0x0dea7604,
+    0xef157c89, 0x174dda9a, 0x24f1bad2, 0xd66d1cf1, 0xc158042c, 0x2925c38d, 0x9cdef477, 0xfb2be8cb,
+    0x4ca4235a, 0x6656c52e, 0x3e140878, 0x04a92c88, 0x9f745204, 0xb7c56760, 0x82896b8f, 0x8d7743cb,
+    0x49315b30, 0x92ebd6dd, 0x6bb04237, 0x1eaa80a6, 0xcde0ad1e, 0xafd30d7b, 0xc763cd57, 0x109f3aab,
+    0x1bb7c222, 0xbf7c62f0, 0x5092e9a2, 0x11f1049b, 0x718d73f9, 0x933044b2, 0x4ed5de6a, 0xefcb6e80,
+    0xa15d70b7, 0xd17887f6, 0xdd307210, 0x2a7cd966, 0xe496d62a, 0xb1284514, 0x04a59b3e, 0xaf8290c3,
+    0xa61f585d, 0x33fe17b7, 0x96b00ae8, 0xb297c16d, 0xb522e9a7, 0x189c566f, 0xf84cd7ea, 0x90e815f8,
+    0xf697e1f8, 0x03e807fc, 0xc351d4a5, 0xb7c338d4, 0x7256f124, 0xab354c9b, 0x7e9f0fcb, 0x91a2fb09,
+    0xc607c24c, 0x608ad663, 0xb4d0719e, 0x106139a3, 0x0dbbfeea, 0x81a40c0a, 0x288bdea8, 0x7e3956a2,
+    0xe49ad739, 0x8eb428d2, 0x1ce964db, 0xbff112cd, 0x95536734, 0x1b64d7f1, 0x0a97b284, 0xaa16971f,
+    0x7b6679a9, 0x88d031c3, 0x0d06f1e6, 0x77d6c571, 0x2ec5fae8, 0xb193e03e, 0xe18e714d, 0x08f1ba7c,
+    0xd573a475, 0xb247c24c, 0xfd9717bc, 0x0ab08056, 0xbee233bc, 0xfe0e59d7, 0x7ddeb89b, 0x7a7688e4,
+    0x3ac45279, 0xff1e7a9c, 0xc2e1205b, 0xfd8b65df, 0xe93b2769, 0x33c98bba, 0x385fa98a, 0xff51fb51,
+    0x516e6936, 0x35f05d72, 0x990f60a7, 0xb907e2c9, 0x55d6fa93, 0x30cab1bb, 0x0a246892, 0x1e02b2fd,
+    0x28e32600, 0xc9916940, 0x3ccebe57, 0x78661fec, 0x33149701, 0x72bb2c48, 0xeec6becf, 0xeab13b1b,
+    0x0da49938, 0xab71dfc5, 0xac0e9a0a, 0x27875cdb, 0x07c53ebb, 0x64b299b5, 0x34ffd2ef, 0x0c1636c8,
+    0xcbd5e92a, 0x6485e9a0, 0xf17cf9f2, 0x2a639b8d, 0x260cd141, 0x0f064ef9, 0xa8dda0fd, 0x47817035,
+    0x25102620, 0x6eec0fe8, 0x73270db5, 0x46177d97, 0x82606dc6, 0xad2e14a5, 0x07edbe4e, 0x9fdbeb50,
+    0x12018819, 0x54e3128e, 0x88eab345, 0x8893d551, 0x88ffff36, 0xee9d089d, 0xb7df750c, 0xa3ea5b20,
+    0x5c9a773d, 0x9e86b0a8, 0xbc06f021, 0xe1e66eb4, 0xbcfc61e2, 0xe666ed55, 0x1bd81cab, 0x50e70d91,
+    0x5362ce76, 0xbb5acfdc, 0x3a666650, 0xf6bc7042, 0xa5178df4, 0xc2284eec, 0x79158f56, 0x9cc4664a,
+    0xa65c9849, 0xa8bb6009, 0x008e5e7f, 0x43a40fbd, 0xda04750e, 0x97a927cd, 0x370d3485, 0xf9b49040,
+    0xde22aa49, 0x0e2e0300, 0x7b37c063, 0x1b3f9522, 0x15ee4d4a, 0x7c51c0e0, 0xc531a01a, 0xd4526f8f,
+    0x39899e7b, 0x782106f1, 0x3545e235, 0x6ff33a60, 0xbeed5b4e, 0x88e4e264, 0x1941966c, 0x88dc0728,
+    0xe8626e83, 0x6d32535e, 0x32d5094d, 0x5d07940b, 0x2fda7b2a, 0xd631aa89, 0x8def1416, 0xe82cadae,
+    0xdcd0f398, 0x7a974b46, 0xd65745b3, 0x5eed0d27, 0x28e45cb3, 0xd62d8007, 0x0f88914a, 0x39dd15f6,
+    0x747da524, 0x7557d5e6, 0x9ee6969c, 0x66caacc1, 0x327b7028, 0x9a9b8665, 0x66419750, 0x4512da36,
+    0x58db49f8, 0x623d2707, 0xf65a8033, 0x8dfb5d2e, 0xf25edafc, 0x413f4d27, 0x434d1083, 0xff8ddf05,
+    0x1addc1b5, 0xd577785f, 0xab42567f, 0xcb16af43, 0x33119e73, 0x0026c03c, 0x3ceed18a, 0x1add408b,
+    0x07562b66, 0xc24f0073, 0x59c56689, 0x9316a74b, 0x96bbe2ca, 0x45f8ebe2, 0x11e1b155, 0x1feda6d4,
+    0x616a5b57, 0xdcb8d848, 0xe88e0810, 0x84622cb6, 0x66a52abd, 0x1b791bcc, 0x243efeec, 0x63f59841,
+    0xddd8c498, 0xc3638dc4, 0x71f9ef27, 0xe82b2c2a, 0xf60e734e, 0x2f322aa9, 0x8d9d9f50, 0xdbbf416a,
+    0xd3bc4604, 0xf45d13de, 0x27cadcfc, 0xeb90b924, 0xc6ebfc10, 0xd467d14e, 0xf4cf78c4, 0xe4f018a8,
+    0x5dae71df, 0x9b86ce19, 0xb3fc671b, 0x78165da7, 0xcffd688c, 0x6cf53aba, 0x2ccfd433, 0x192acb6d,
+    0x881ed6cb, 0x05555f3e, 0x4e313269, 0xbf692a7d, 0x49c7a16b, 0x71c8c15b, 0x2d5e5c16, 0xbd1103d4,
+    0x00000000,
+    0xa9d236d4, 0xbfc6f675, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000003291009114642412084309938365114701009965471731267159726697218048 */
+  { 0x00000000,
+    0x873a3270, 0xbdad25ea, 0xf3653c62, 0x2e225417, 0x36761d77, 0xf8e08144, 0x59d96005, 0x64367106,
+    0xedcb71dc, 0xf4fe35f4, 0xaa053bbf, 0xbfcabffc, 0x8447b6b8, 0x3f1a123e, 0x1002143f, 0x6983ea8c,
+    0x4f39c896, 0x7b5455ce, 0x276c47f2, 0x4fce0622, 0x969147a0, 0x2064bf7e, 0x0a59ded2, 0x07c2bf64,
+    0x9959cf47, 0x9d934a56, 0xb1c194bb, 0xf41d769a, 0xbe8f252f, 0x2bc5e133, 0x6595292c, 0xfb3598f7,
+    0x378cb576, 0xf81b0c0e, 0xaa75076d, 0xa03eeb2b, 0x6d4f9736, 0xf1ca1d0c, 0x7e9f8f6f, 0x0439f5e2,
+    0x4d15eca4, 0x5bc16f75, 0x09ab2c32, 0x672cb57d, 0x662c1e5c, 0xc407050f, 0xa6b07f67, 0xcb5a887f,
+    0xda552f4f, 0x530bf062, 0x3c4751bf, 0x962c4569, 0x47a62550, 0x5eaa6e4c, 0xa63ca6c6, 0x59389b7c,
+    0xa944db16, 0x4dbd2c3f, 0x10bc6284, 0xeb549812, 0x8678a1d2, 0x59a92f3a, 0xfd68d900, 0x81d0ab42,
+    0x615f637e, 0x8ea761bd, 0xc312ee56, 0xd0743ef8, 0x2607a478, 0xacf2b0e4, 0xca583eaf, 0x29bb99c4,
+    0x049d9b83, 0x17aca2dd, 0x57494399, 0x7b533c18, 0x9dae5db2, 0x09b39630, 0x8ab7a140, 0x3fcacfa1,
+    0xf125476c, 0xc438398b, 0x5e1fda91, 0x3e718afc, 0x7684c694, 0xcf7296ae, 0xd9642c76, 0x4aa99b26,
+    0x24a780a1, 0x36f6c233, 0xb65cfb56, 0xa122eb22, 0x2c35681c, 0x75ad717b, 0x9d071f4f, 0xd24e2bc5,
+    0x45be484a, 0x2017ed79, 0xa09a2ffe, 0x9c34b35d, 0xf1cd9291, 0xa545fadf, 0x1c3a8e2a, 0x30ed849e,
+    0x38c4db05, 0x292ae2b5, 0x9bd1224f, 0x4c583825, 0xd0c3bf3d, 0x30f127c5, 0xd1d5e3ce, 0x8d7dd0cd,
+    0xa34c1e77, 0x855d69ff, 0xdfdc258d, 0x14664214, 0x6640a7ef, 0x51245d78, 0x4cd5e432, 0xf952db36,
+    0x34374e27, 0xbcbc7191, 0x94b7f6d1, 0x448145d8, 0x66dc68c6, 0xe3ab86fd, 0x8f016be6, 0x1a896eda,
+    0xfb071b09, 0xcb552f1a, 0x45e828a9, 0x481b6f58, 0xf1f91741, 0xfe4781c7, 0x8fc8017e, 0xb235f24b,
+    0x8c811a71, 0x83502f82, 0x313f1a50, 0xac290f8c, 0x43a9aca4, 0xdb76f629, 0xe9530a9f, 0x1cc4dffd,
+    0x46545c59, 0x6949cd32, 0x244922a1, 0xc6b45f17, 0x90645489, 0xe604ba47, 0x6a7bb393, 0xee7142ab,
+    0xc33ecded, 0x7d158a3f, 0x8581ff91, 0xe6e9136a, 0xb5d4319c, 0x2ccdc18b, 0xf77cbc88, 0xd32a51a6,
+    0xf278163a, 0x71643c2b, 0x95f23dce, 0xec85985d, 0x2c38ac73, 0xc25795a7, 0x1b76f8f4, 0xd95d34a7,
+    0x07670f2f, 0xf9658cb2, 0xeb7f143a, 0xcfbe25eb, 0x0a835ad3, 0xc57d80fe, 0x276af606, 0x21ca5ea4,
+    0xe68d8a45, 0x3a59d20a, 0xa527628e, 0xc8e61233, 0x51d3f834, 0xf0af9316, 0x218b359f, 0x51b670db,
+    0xfa4654d4, 0x37b435a5, 0xe437437f, 0x86c77088, 0x43ef2cbc, 0x2b0dd14e, 0xa49256aa, 0x82e540db,
+    0xb81eedae, 0xeb5e4974, 0x0c97a10c, 0x38bd0988, 0x73a608ae, 0x36bf1416, 0xf928461d, 0xc749a540,
+    0x8da921ff, 0x40757deb, 0xc03b5ad0, 0x020889a7, 0x41be266e, 0x91c14ef7, 0xf2dd11ba, 0x8dd6c39e,
+    0xeee89986, 0x7ea8e57c, 0x5bccf9c2, 0xf5c36764, 0x4f3877a7, 0x11804092, 0x08b884c6, 0x401de371,
+    0x578e2223, 0xd091a2dd, 0xf41edce1, 0xa59f6f04, 0xde033af9, 0xd301863f, 0x54cd3d5d, 0x0aa80c25,
+    0x7530a8f1, 0x6ff08987, 0x466cac00, 0x3af7c962, 0x7e83ab81, 0x7fd92519, 0x786669ae, 0x4f22afce,
+    0xbe3e7791, 0x6fa83e1f, 0x272d9200, 0x3be23b90, 0x469c3d62, 0x3394e95b, 0xacd8cad6, 0xad95b58d,
+    0x8a82d4cf, 0x0e3f025f, 0x8cda633a, 0x6530022a, 0x505a2d96, 0x3804d396, 0x1829508e, 0x96ec793b,
+    0xe26498e3, 0xedeeaa39, 0x6b5dde3e, 0xac2d4f4d, 0x6444c989, 0x8a6f4301, 0x769f581d, 0xf2bac20f,
+    0xe3c02d10, 0xa2aa929c, 0x8fec3ba1, 0xc0e8070e, 0x3f933788, 0xc1e3af3c, 0x94b1ba93, 0x62abc366,
+    0x0aeeeb8e, 0x28f7539e, 0x2cbb7d3b, 0x4d1ce037, 0x50dca907, 0x0cf2b34f, 0x0f7d272b, 0x57437d61,
+    0x101df5b0, 0xc1870d75, 0xb099e378, 0x870cc199, 0x4cea1c54, 0x817c3a4c, 0x8926a8cc, 0xcce976dd,
+    0x9b4e4ab3, 0x4e16e9ef, 0x331df1d8, 0xc86f8937, 0xe9c36a37, 0xbabeb735, 0xe7a11c5b, 0xa7d27059,
+    0x29d82f09, 0x1c051cb3, 0x4aea5797, 0x0794b456, 0x0c9a0a8c, 0x22865116, 0x10f09aef, 0x56327ae6,
+    0x7fb7f7b0, 0x3d61963b, 0x8add4ffa, 0x65f84f36, 0x147d7a80, 0x470b463f, 0xaab70d3d, 0x1bc36000,
+    0x0a543ba8, 0xda6d9b45, 0x70a6e10e, 0xdf58df70, 0xd1eaec2b, 0x3006c6cb, 0x6c5a140e, 0x247a966a,
+    0xabeffbc3, 0xf82a7e1e, 0x1b43792a, 0x7369dab9, 0xd8e38913, 0x8f2b2231, 0x978b0d76, 0x22412b53,
+    0x30ee8643, 0x5eba7a85, 0x632e33da, 0x2e45e563, 0x9e1308ea, 0xf6ee5f06, 0x6b824c92, 0xfae0766b,
+    0xfe1a9ed8, 0xd2e41e88, 0x52d2759d, 0x8075d53f, 0x71d7ec12, 0xc9fb6cd5, 0x602bbd58, 0xeb2306af,
+    0x325d134e, 0x6578db2b, 0x1d3503f5, 0x87b112d3, 0xdecd0fe8, 0x42822870, 0x6d5dc538, 0x28052cc4,
+    0x1fd84652, 0x27405b10, 0x0cb28804, 0x1281d711, 0x1552f0f2, 0xbbfe6865, 0x6566f568, 0xd766eeb2,
+    0xc7ed4cde, 0x06740119, 0xa3321792, 0x1f0c8c85, 0x255482f5, 0x96e9746f, 0x99a38990, 0xba5b056c,
+    0x4a1a0272, 0xdf3498d0, 0x59b34d3a, 0x41a2aa30, 0x393499cb, 0x8d16e96b, 0xd646a273, 0xb2c6bd64,
+    0xfc209fe7, 0xb843f1a0, 0x2923c7fe, 0xe93b8643, 0xbbee0bba, 0xfb385211, 0x6a0af44b, 0xb4d95ce2,
+    0x88b0b9d7, 0x3ce83899, 0x654640b7, 0xe7473f96, 0x3e1776fe, 0x13f5372c, 0x150fe70a, 0x1e8665bf,
+    0xee34563c, 0x33eedb85, 0x6fad5cf5, 0x314aa4bb, 0x91c0d959, 0x4823ac8a, 0x87d49b72, 0x8a1131a5,
+    0x28edf20e, 0x9a970ceb, 0xeb3229d0, 0x943ea73e, 0x7946bca4, 0x96666c1c, 0xc11c3dd6, 0x301a494c,
+    0xfc1d739a, 0x1d2562a8, 0x0401711f, 0xa37d1113, 0x99d1f87a, 0xebf3426e, 0x45fbdd1e, 0x62f8437c,
+    0x8993b858, 0x339fbda5, 0xb9f30acb, 0xc0da7e3e, 0xfa9f3672, 0xb4137171, 0xf94d270b, 0xb4229b66,
+    0xfcb46892, 0x8eb1acce, 0xdbd4a18a, 0x5f5468e4, 0x57ab7f4a, 0xc567ce90, 0x41a22525, 0xf4f2f7eb,
+    0xd9ecb379, 0x003db831, 0xb725710a, 0x6ef951a1, 0xddf4f408, 0x553962fd, 0xdf0862d9, 0x684ba119,
+    0x30ea7dd2, 0x0d2bbdfa, 0xfe513ec4, 0xe7e71e37, 0x02194060, 0x96ca7904, 0xad97fd8d, 0x4828c060,
+    0xc797fb74, 0x6970c96e, 0x6baa3d34, 0x9a24af94, 0x7f888748, 0xfe43c005, 0x9bd0d00d, 0x968961b2,
+    0x9ea5886f, 0x6202742d, 0x0b1a53f5, 0x9b0727e9, 0x81de9197, 0xbd884ee0, 0xdef53add, 0xf318e8ec,
+    0xdf0b5e6e, 0x9621ba55, 0xce7f76b0, 0xe52c5d2b, 0x3c1cec48, 0x38caa804, 0xbd6f283b, 0x1e18dc11,
+    0xd3045f4a, 0x324b376e, 0xf3c4d33e, 0xdb27ffef, 0xd0c64e97, 0x89a18350, 0x8903ad74, 0xf1499ad6,
+    0x15f9e843, 0x238512d5, 0xb8f98b7e, 0xbf3ebb00, 0x53180552, 0x5fce880a, 0x7c3c7e85, 0x88baa460,
+    0x4f0183e9, 0x5a0abd55, 0x6bfe80fa, 0xe28f4eaa, 0xaa0820f7, 0x4bf157f7, 0x87c0b9e1, 0x62d25c04,
+    0xd5a07868, 0x96aa5345, 0x2322555d, 0x98856ada, 0x4154c540, 0x873b7435, 0xe1176e72, 0x9965bab1,
+    0xa2cbb169, 0xec5d9cd4, 0xd48d9ac2, 0x4be21ba6, 0x7defc766, 0xf6fb7c8a, 0x7aeaf75b, 0x39194c7a,
+    0x2696b4fd, 0xa261827b, 0x4de5d914, 0x5c0811f2, 0xb0f3df0c, 0x0dafadd5, 0xca7a6dbf, 0xfe994636,
+    0x71a64dcc, 0x1bed8d6f, 0xdb4692d0, 0x65ac0823, 0x7f33a7e0, 0xe598b4ce, 0x58b905b7, 0x2e4130ba,
+    0xc1bcbaa1, 0xea00bc29, 0x45317cec, 0xfabdb2b9, 0xa456588d, 0xb9868253, 0x2e4581a8, 0x0c3e41b6,
+    0xfbb0b4b7, 0x4a5af0b9, 0x8129d0ff, 0xe76ad6a0, 0x366f8b9f, 0xe0777d9c, 0x350cb4e9, 0xf2c3d4b3,
+    0x2637c976, 0xba3231aa, 0x16ecfc02, 0xb1554269, 0xb6847daa, 0x4ceaf901, 0xf5770e3b, 0x613c5afc,
+    0x0421644a, 0x44d00e4c, 0xcd5472bd, 0xfccc990a, 0x302c80c4, 0x377d71e4, 0x25f4c511, 0x67321829,
+    0xe33d892b, 0x55f9f2f1, 0x3a32551a, 0xcb1bb428, 0x2d909e2a, 0x4ae7396c, 0x3613609a, 0xde5cf4c0,
+    0x5a521274, 0xf734063e, 0x6bbf3cb2, 0xf3f230d3, 0x4ac046f4, 0x7405720d, 0xb3253fd3, 0x739997fb,
+    0x4039d6c7, 0x14e9a34c, 0x74b98833, 0xde35b12e, 0xc524d857, 0x6ad2eb98, 0x11df2383, 0xe06af269,
+    0x92d58e6d, 0x54dfc694, 0x2ffac2ce, 0xdf7a483f, 0xe5b95e8b, 0xe0fcf111, 0x70a71c54, 0x50421762,
+    0xc2989239, 0x5207ceb4, 0x8dc0bd2d, 0xf354d048, 0xd46e028d, 0x3eca3d56, 0x97be02f6, 0x2f630eeb,
+    0x4d81fc23, 0x41031ad5, 0x4a5ebca2, 0x53ab5e2f, 0x31f39d6a, 0x28d6da6f, 0xc6b508d4, 0x9b90b252,
+    0x5aefb159, 0xb2ad9be4, 0xd18dcce3, 0x813229e8, 0x3299736d, 0xc4da5859, 0x34c906c2, 0x5fa51108,
+    0x74caeecf, 0x9b83c9c2, 0x68748a91, 0x6b7f2f87, 0x380da987, 0x05643fcd, 0x82e1fa7a, 0x597e765a,
+    0x91f2389d, 0xd189e613, 0x6e38cee8, 0xe18ebc00, 0xc147f292, 0x5f4783d1, 0xa720a6b2, 0x48c053eb,
+    0x4ef115d0, 0x7695a7ea, 0xae950660, 0x6e8f21c2, 0x3975c12b, 0x99ed88f0, 0x45ac7429, 0xe3ccfd53,
+    0xf5558e06, 0xa86b7223, 0x81cc8e3f, 0x217d0620, 0xe8c79b65, 0x7e4128c6, 0x98417251, 0xb244a91e,
+    0x099c87ed, 0xae41b196, 0x54f61833, 0x17ad2871, 0xb5899610, 0x94168b98, 0xe004a2f7, 0x4af4a185,
+    0xc3bd237a, 0x11543597, 0x6b95d0d5, 0xa85fac60, 0xaa2c4c09, 0x3ef148ae, 0x17b0ac52, 0x0c97c2f1,
+    0xd6c5509e, 0xa8d63d9b, 0xd3766dc5, 0xa6fc1209, 0x1ab23529, 0x91a60f55, 0xe7ac0e73, 0xddd5035d,
+    0x99f88680, 0x7a5d5773, 0x891d2690, 0x3a11ba02, 0xdbc540fc, 0x8dd57ba7, 0x1d6f6bf4, 0x5b36de31,
+    0x857b2900, 0xea258158, 0x79ae27a5, 0x14cc7e4e, 0xeee6d7f8, 0x995e7fa8, 0x179f8a68, 0xd49d9d0d,
+    0xb361b5e0, 0x80f74326, 0x97ac790d, 0x6492fce9, 0x75e4269a, 0x5207a288, 0x69b83873, 0x143b0d55,
+    0xe8611b0d, 0x9fb488e4, 0xeebc7729, 0x69cc5e53, 0xa35612aa, 0x28054328, 0x7007d55b, 0x667efe48,
+    0xec8885d8, 0x25d8fe8c, 0x07bc6bf3, 0x6248ecae, 0x41bc2669, 0x8d4500b4, 0xdd4ae09a, 0xca3c969f,
+    0xdadbbd5a, 0x073bd9c1, 0x4fb9d031, 0x376b85b7, 0xf6581047, 0x225980a8, 0x5a2a87c8, 0x80781a79,
+    0x9c4b9580, 0xdec58105, 0xddf4811b, 0x70d0e821, 0xc02726b4, 0xdc11d1f0, 0x2c41f45c, 0x80dec70a,
+    0xdb4dd4f1, 0xd544612d, 0x6b824f37, 0x6c7b9df3, 0xc8b4ee88, 0x156f53d2, 0xfd32d9a8, 0x6da6122c,
+    0x36ac0b3a, 0x3eb110f5, 0x5ffdec54, 0x05c6ac48, 0xe401cecc, 0x00d7de80, 0x748cc697, 0x8b436254,
+    0x0bdb30d1, 0x07f2aa84, 0x513ba6ad, 0x97a43471, 0x097fd7c6, 0x875a3ce8, 0xe88f4958, 0xc1b2b0d6,
+    0x2705740b, 0x51c7dc46, 0x1a7ce22f, 0x93f412aa, 0x4f86c9e6, 0x84c13551, 0xa68e10ef, 0x62c9344a,
+    0xc2dc4db3, 0x0db53b94, 0xc95dc440, 0x166b701e, 0xff7fb489, 0x54c35146, 0xa5d00ec5, 0x5065ed70,
+    0x08114dc7, 0x7158c416, 0xd2e89858, 0xe28d78f8, 0xfab7eae2, 0x2b4ffad7, 0x9975fc54, 0x9bfcedf0,
+    0xdbed2186, 0xc2d8da50, 0xd4dfb746, 0xa05455f0, 0xbd7fc2b3, 0x49687956, 0x4f235ded, 0xcc347a5d,
+    0xfb89a678, 0x19ee1b0a, 0x4719db6d, 0x627bb888, 0xd59b738d, 0xf451294a, 0xe55b7eda, 0x435b4227,
+    0xa873e76e, 0x1f8305af, 0xeba4e281, 0x6e00fd42, 0xb9b0ba20, 0x3cf0034e, 0x7b3394a7, 0x61472335,
+    0x63356f10, 0x05df00c4, 0x32675d6f, 0x5b4423ee, 0x174f51eb, 0xe8eec55b, 0xa28815d1, 0x9044ccbd,
+    0xd6a9f7e1, 0x8a441c8b, 0x6329a53a, 0xd0e39e47, 0xe57a852e, 0xfda96611, 0x5658e144, 0x683ebb1a,
+    0x475c8f8a, 0xf3c5d5c4, 0xe4e009f0, 0x25ad2193, 0xc67f548a, 0x597d4f35, 0xd14d4895, 0x39067b0a,
+    0x14b68352, 0x2a7c6a78, 0x01aeaf95, 0x16f20907, 0x3480fdc0, 0x9688a066, 0x89e37fce, 0xc3d72494,
+    0x464ddbcf, 0x1b9cd376, 0xaaaf1497, 0xe0f7d4e9, 0x6dc3ac85, 0xc6b0937b, 0x6f192211, 0x93885c64,
+    0xa9534ab2, 0xd67e5b4b, 0xbcf027de, 0x65ecfe20, 0x8b8cb71a, 0xe7af0ef4, 0x6fe95ee2, 0xc055f60b,
+    0x4ccbd057, 0xfdcf9714, 0xad152515, 0x84378a34, 0x492dea23, 0x3c3dfdec, 0x51627e3e, 0xc1f83d79,
+    0x67d71bad, 0xcc32c4af, 0x9e5ed80f, 0x9b39ede9, 0xc0ae08a8, 0xcf78eb9e, 0x0442cc7e, 0x2916db17,
+    0xf0fbe6b4, 0x046310a5, 0x095d7d6f, 0xb8ff8db8, 0x40ec8120, 0xc4666d7c, 0xcd673f07, 0xc3168797,
+    0x544a5aae, 0xc3a4f79e, 0x0ac061ef, 0xa98e2d32, 0x9c469b41, 0x6790f41a, 0x7615b4a1, 0xfd99482e,
+    0x0816793e, 0x59f355fd, 0x33be7b74, 0x61ee7b09, 0xe3ea4e5d, 0x73b00e72, 0x5d7dfd1a, 0xf2712e78,
+    0x2c90f123, 0x89654638, 0x488f55ca, 0xd22d1c1e, 0x67752b1c, 0x00022a0e, 0x37ae4420, 0x705fad79,
+    0x5fbe5eb0, 0x48243203, 0x2b07ac0e, 0xb653332a, 0xd5f47c00, 0x24befd0e, 0x9906dee9, 0xb67e16ed,
+    0x8d26f8bc, 0x21ef78c7, 0x239873bc, 0xf7179ed8, 0x283a641c, 0xded70cae, 0xe22fcef8, 0xbe8b6a1c,
+    0xf08c3ca9, 0x12a50f8d, 0x45cdf251, 0xbcac74e8, 0x1f82ac79, 0x0ee18bff, 0xfa42080b, 0x5ea8785d,
+    0x0496ee9b, 0x1e9f2465, 0xdc0961b2, 0x88d21691, 0x6895d9a8, 0x654dfbb1, 0x9ae76ecc, 0x0bdde027,
+    0x97eb3a2f, 0xb7d358a2, 0x9286dcba, 0x545c54af, 0x1cccf50f, 0xf87a8ab6, 0xdd5b8c61, 0x06cabfd7,
+    0x2759a197, 0xb35c69c6, 0xddb53215, 0x3c14d66b, 0xf32f9430, 0x80df4f57, 0x1096b53f, 0x6b18e477,
+    0x98b5e75b, 0x45ca6828, 0xb93ac52d, 0xf227715e, 0x788ae0f9, 0x88b9d55f, 0x7bfa2560, 0x87853fd5,
+    0x301fb4b2, 0xa5b18125, 0x0dd7a3d5, 0x746f07ea, 0x3071db1c, 0xded9415b, 0x1d776861, 0xc1498cb4,
+    0x652df83d, 0x8af23a16, 0x619fc57b, 0x9aee2561, 0xf3422053, 0xddfaa6da, 0x564e5010, 0xb8d220da,
+    0x37280414, 0x7b85caae, 0x3b7e0cec, 0x22600e5a, 0xda00b459, 0x7f23c610, 0x6f0fd41e, 0xdfdc8260,
+    0xf87666e7, 0x8ecd7cb6, 0x3d51f00b, 0x1fd6e830, 0x3822dae0, 0x6e196aa2, 0x65c20986, 0x7f44007f,
+    0xe2db8ec3, 0x15db2776, 0x0288b5e7, 0x15ac531e, 0x9e5c04c1, 0xa22c3da1, 0x462a8a5a, 0x5d9f514f,
+    0x752f544b, 0xca2f6f73, 0x2bdc2d3b, 0x8a42eacf, 0x37cdda75, 0x69f61581, 0x425f3878, 0xceeceefc,
+    0xfcd9db77, 0x40d1a201, 0x983c4871, 0x572ed016, 0x7c0a7c7f, 0x0ec441c1, 0x00fe3000, 0xc4d27e5c,
+    0xe3c3bbc9, 0xb38821a1, 0xe753e458, 0xfb195a6d, 0x760e9c9c, 0x25a14599, 0x1e4fdfd7, 0xdc00972c,
+    0x00000000,
+    0xd4e91b69, 0x5fe37b3a, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000001645504557321206042154969182557350504982735865633579863348609024 */
+  { 0x00000000,
+    0xd00466b1, 0xae4462e9, 0x6453262c, 0x5d6e3da6, 0xb4b65440, 0xf9de85b4, 0x8992885f, 0xd0f4f26f,
+    0x085f1f13, 0x2c03daa7, 0x39d6ac54, 0x00893e34, 0x73225c66, 0xe843b231, 0x40f7c2c9, 0xbe09d9da,
+    0xe967d47c, 0x0cf4a7ec, 0x21a7a514, 0xe5530ed2, 0xcfa77529, 0xf5337206, 0x6f4b662f, 0x457695ac,
+    0x06ece269, 0x6fe23cc4, 0x32472721, 0xa1247c6f, 0x1dabaa1d, 0xc04cadf1, 0xc89daf51, 0xc0b523fb,
+    0xca30eadf, 0x53adf887, 0xa814a71d, 0x539e83bd, 0x01332b62, 0x3da91fc9, 0x124843ae, 0x5be2a9ce,
+    0xad2a1334, 0x21c138ea, 0x3e649575, 0x2afa1f21, 0x33531335, 0x5e458d30, 0x67789c0e, 0x75975123,
+    0xfe9504c5, 0xd82fc961, 0x00d4f5aa, 0x8a430b28, 0x8e839f31, 0x701e52ed, 0x8e8323da, 0x5d61ad63,
+    0x04eadd51, 0x021dc40c, 0xe732d376, 0xcc3b058a, 0x15895352, 0x19d57197, 0x786e0310, 0x081ab92d,
+    0xdbf27609, 0x9c713bce, 0x598e9fe2, 0xc4d4607c, 0xbb352ba5, 0x4a76e761, 0x87fa742a, 0x0eaaddcd,
+    0xb5e47c94, 0x014e9b69, 0x46f0b4fb, 0xa1919d23, 0xb0b95125, 0xf4e543d5, 0x3fd326f3, 0xf7927584,
+    0x0b31bb06, 0x912dc477, 0x06c937b1, 0x18242443, 0xef781c77, 0x23b93641, 0x803ae46c, 0x88818f42,
+    0x0a61e159, 0xca0ad132, 0x8266b238, 0x31259544, 0x2abfebbc, 0xcfa421a6, 0xe3c97db4, 0xc1ba5696,
+    0xc70c6fdc, 0x44908355, 0x74403349, 0xd96ae065, 0xa873c3e6, 0xe56fbd4c, 0x04719a0e, 0x0e36712e,
+    0xa007da73, 0xf3c78a15, 0x58a42014, 0xf35a4b29, 0x037475a5, 0x7f6534a5, 0x7a05bb15, 0x244f46e9,
+    0xc2745228, 0x96d011c0, 0xcc5c9afc, 0x70604316, 0x58ce7897, 0x34e5f9e1, 0x8de58acd, 0x3cac9c42,
+    0xf5b66466, 0xec3ce917, 0x354c7107, 0xa4cf8e86, 0x74673449, 0x09614922, 0xb0a36b60, 0x27f9d49f,
+    0x40b49218, 0xe31cb84b, 0x810c7ffe, 0xcc6e8c86, 0x36c697e1, 0x28a094e6, 0x115e3671, 0x46068cdb,
+    0x31f98773, 0x51ba2db0, 0xfe1c1a7b, 0x38dde35a, 0xab0f6327, 0x4e76d346, 0x594a4414, 0xf904c88e,
+    0x41aaea11, 0xc93a630a, 0x83fc49c3, 0xe3125a11, 0x7b59c172, 0x6ad6d333, 0x405d3f82, 0x9dd6d5d3,
+    0xebc25dcb, 0x3e81558c, 0x18c9aef8, 0x4b20b9b8, 0x4c964d68, 0x592d3c0e, 0x68f6d5ce, 0x8f84117f,
+    0xbb83a8e8, 0xd0e2c2a0, 0xc2196dc3, 0xd50b288d, 0x9f034376, 0x8466f05f, 0x15d362fc, 0xc807361f,
+    0x5ba994cb, 0x699b83b7, 0xde46ca04, 0xe7abdd29, 0x64e5524a, 0xca27e1d7, 0x5510c4cf, 0xb4d551bf,
+    0x4f16d840, 0xfc726e4d, 0x703c1081, 0x18812932, 0x62c30c22, 0xb20fdfd7, 0x7fdebb59, 0x4373635c,
+    0x6b42da36, 0x0a291cf3, 0xe76296ec, 0xa9ce1c47, 0xaf3c28fd, 0x5e1d0947, 0x7667d9ac, 0xd01c65d9,
+    0x1b6c6cb3, 0xbde59c49, 0xf3eb26da, 0xdfda0f95, 0x229dcc81, 0x49b34fdf, 0x2287a782, 0xd67fa32b,
+    0x7c38d8ae, 0x238a845c, 0x7ff2b844, 0x8cde3e00, 0x2ec04971, 0x23b9da2d, 0xf31d8d85, 0x12b9280f,
+    0xec22d064, 0x5efb2779, 0x1f058dd7, 0xfba529e4, 0x45f325a3, 0x8d266b83, 0x1fec3a2a, 0x3301955e,
+    0x66fc45ec, 0x08b88440, 0xc7ce3bce, 0x6b1cacbd, 0x03b4f838, 0xeab824f3, 0x1be6af68, 0x35f491f3,
+    0x6faa99c6, 0x51f9c049, 0xae772e8e, 0x1c9a8639, 0x96deb68e, 0xd0437844, 0x949bc9da, 0xc0615d8c,
+    0x62fc2fb7, 0xedafde63, 0xf76cfb04, 0x440e4150, 0x23e66cc9, 0x336ad6b1, 0xd089e78c, 0xfcb3d703,
+    0xcdebc63e, 0x83091036, 0xc71ada6c, 0x1cd41d58, 0x2867f5d0, 0x040c6093, 0x0d9b4099, 0x69029ad5,
+    0xd5e50e89, 0xa89eebb0, 0xa6d33856, 0x1a1719f9, 0x89a5c6bc, 0xb4adbfdd, 0x07eabb15, 0xf5490a9a,
+    0xddbd6a9a, 0x729ecac2, 0x7b49d5b2, 0xfc3f38da, 0x01e70911, 0x2e7edf71, 0xc57f94f8, 0xe6214771,
+    0x21403302, 0x039f527f, 0x76c51d8e, 0x616f3360, 0xc7bbf267, 0x48579646, 0x49196583, 0x611e3a3d,
+    0x1cf55215, 0x8801b764, 0x4bf63c37, 0x59cea87a, 0x6c6c6961, 0x6ad13130, 0xefc5bfd5, 0x7634ef91,
+    0xf9dcfffd, 0x85d8f7ab, 0x3e939346, 0xf50e8dca, 0x6b3e2e26, 0x8c46f696, 0x82fd7a58, 0xa28a04a9,
+    0x968db7af, 0x372468d2, 0x69d41e98, 0x842a7112, 0x5d37f054, 0x5893390f, 0x324c47ee, 0xe0d04371,
+    0xf9d09d50, 0x00d3aee9, 0xa17e1ad3, 0x1f198e02, 0x325eebdf, 0x726cbeef, 0x89045740, 0x0e2fefdb,
+    0x4ad19979, 0x9d7898cd, 0xb1d2c89f, 0x4ad924b8, 0xc4f73419, 0xb0842c47, 0xd28d2b44, 0x2837eaf6,
+    0x9f3c0d88, 0x1007a7a0, 0x71ec2fb6, 0x2e56a96f, 0x3c54e7a2, 0xc059d81c, 0xbd01831c, 0x06737f9c,
+    0x81d64fb1, 0xbb5b921b, 0x1457a3e7, 0x14ad9f7e, 0x69192c44, 0x9c335774, 0x863883d0, 0x099f2fba,
+    0xbb389734, 0xb6164210, 0xf50a345c, 0xf8d84b7d, 0xdfad3d2d, 0xeb702501, 0x48ad9498, 0x15aaff13,
+    0x074c4bac, 0x22e13517, 0x5323ba0f, 0x5999641d, 0x884ae80c, 0x8825ed2c, 0x6159d8c3, 0x5fe0668b,
+    0x451d0c87, 0x2bc8f830, 0x72c998fe, 0x6279dfaf, 0x201f61d2, 0xcb4d0fdb, 0x4c7d2097, 0x5b1a4d33,
+    0x91ff8b25, 0x8c633b31, 0x793a8c45, 0xf7da7740, 0xbac5bdaa, 0x7e51d3d0, 0x31ebc4dc, 0x93981d83,
+    0x19a834c5, 0xaa2f1abe, 0x9ca5882c, 0x3e478177, 0x4ef1cfd6, 0x571fec67, 0xca0d8f80, 0x3d07053d,
+    0x4974e93a, 0xcf689646, 0xd8d5668d, 0x7beaed0f, 0x00f7a4eb, 0x83d9058f, 0x6a0a499b, 0x42a4a749,
+    0x5438fd20, 0x27c016e9, 0xa5700661, 0x95fab272, 0x8f1bdf95, 0x9d9c2d75, 0xe2812387, 0x35ad2426,
+    0x00b34bbf, 0x6760a411, 0xb645861e, 0x1804ffdf, 0x6ebbc6ff, 0x0f083d17, 0x542889f2, 0x3aa271da,
+    0x2986005b, 0x7380adda, 0xcfda2dd8, 0xa2b80296, 0x3a940b87, 0xa3b6df2f, 0xf2af4905, 0xeecf2381,
+    0x3c182337, 0x90c142e9, 0x4ebb7f7f, 0x8e2df690, 0x01ff30fa, 0xaa0f9048, 0xad765e80, 0xbee9477d,
+    0xd3cd1b1b, 0x6dbdc631, 0x4b1ddfee, 0xda5554fe, 0xf369905b, 0xe0fd92fb, 0xa6d93d6b, 0x9f8f5a7b,
+    0xed79d539, 0x834ca920, 0x6623dca1, 0x88115343, 0xa491c025, 0x23a0f9c0, 0x128db2cf, 0xe37c8a0f,
+    0xe97e8de9, 0x26411af6, 0xfd160326, 0xac46a2ba, 0x2f0ea81c, 0xc4fd528f, 0x9d16ca19, 0x2be37289,
+    0x403e25ee, 0x2ced1642, 0xd1fff8ed, 0xc97054c7, 0x17316962, 0xc3d9fb57, 0x4b621d2a, 0x242f15e8,
+    0xaae5667b, 0x14c293ad, 0x8b75328f, 0x279796b5, 0x9b123625, 0x0a9e72cc, 0x11644554, 0xe14ad33d,
+    0x2278fb89, 0x939ba6dc, 0x3426ce0d, 0xd2e9cab6, 0xa6b59a71, 0xf35c0915, 0x9b3ce684, 0x2a7eea71,
+    0x32893290, 0xa5307365, 0xebc932de, 0xdd931410, 0x51bb4396, 0x33d2d55e, 0x0726112b, 0x85852cc4,
+    0x146442e2, 0x5ebc67af, 0x60c98711, 0xab01a224, 0x41a52130, 0x7b9bf902, 0x7409f080, 0x8c3b2727,
+    0xbaca4f08, 0x0aad35c1, 0x619cee45, 0x8619f62c, 0x410662d8, 0x9232c418, 0xdf7fd60e, 0x832a09e7,
+    0x4425beb2, 0x4b8bc5eb, 0x86a447ee, 0x6e114c9e, 0x6f357b1e, 0x9f9c9ce1, 0xafec8295, 0x283021b5,
+    0x43dd6b36, 0xaa61619a, 0xb89b3c4d, 0xf45b85d0, 0x7460d5e4, 0x3672dfe8, 0xa8e0eca4, 0x81a95e46,
+    0x788a4823, 0x24d50cec, 0xd4066c5f, 0xc0f90ca7, 0x931fbd0f, 0x4c4a8a41, 0x5832cc7d, 0xbacf8285,
+    0x4f75bdaa, 0x261565d2, 0xe26d8036, 0x952fd77f, 0xabf1521b, 0xf6c7d7c5, 0xb3ffafb2, 0x167444d2,
+    0xe94a9f4d, 0x4c4603d1, 0x6d37e063, 0x35584987, 0xd01300dc, 0xd2180043, 0x22747c3b, 0x34e59bfd,
+    0x2fc2559e, 0xbd195bdb, 0x40c9e04c, 0xe7f24af1, 0x971b8326, 0xaedf0a57, 0x33afac50, 0x29991385,
+    0xff818646, 0xaf8d454b, 0xdf032fbb, 0x675663f6, 0x65266b65, 0x6f0193c3, 0x01dec8f9, 0xa771e091,
+    0x2bdb810d, 0x41798172, 0x6bcf2a7f, 0xa0fd2fe2, 0xcab80c85, 0x212a7eeb, 0x52283e1b, 0xb7d4c066,
+    0xd148773a, 0x59b76b47, 0x46fc460d, 0xbf973241, 0x4ac1ccb1, 0xe5e58167, 0x3723c6c5, 0x183e6639,
+    0x06d4c106, 0x9351f8ef, 0xfa3cda63, 0x6931c5b7, 0x6fb1f5f7, 0xff26d011, 0x72153808, 0xe031760e,
+    0x3dcd131a, 0xfa670eee, 0x01f825fc, 0x0a002a77, 0x24a7a563, 0x65857515, 0xaf5cb523, 0x1f0b814e,
+    0x11e7ec7d, 0xa225da60, 0xcc8718cc, 0x71916dca, 0x8421ab63, 0x820f1ab8, 0x489bdd70, 0x9ed31a7d,
+    0x6225bf5d, 0xf840313a, 0x2245349c, 0x81eb637a, 0xd75f3bfe, 0x487d5383, 0x23189230, 0x4f3aba74,
+    0xa850a04e, 0x39f92b9a, 0xb9093e70, 0xf57b9bb6, 0xb482002d, 0x5d2e99a4, 0x9f45dc5d, 0xc859be78,
+    0xf5ac8957, 0xb123df54, 0xd0750396, 0x766ad9a9, 0x5b0322cf, 0x9a76ff79, 0xcacff638, 0xef1b7660,
+    0x042e4854, 0xf129fcb2, 0xaf2bad58, 0xcb450e25, 0xc3f46a86, 0x8ed0d58f, 0x2127f2bd, 0x48809993,
+    0x49a1938d, 0x7cc9b9d9, 0xaf55d376, 0x5f717703, 0x67838275, 0x37319edc, 0x01296b38, 0x3e009814,
+    0xff520b04, 0x5a612994, 0x2530ffd5, 0x775abbd1, 0x5fae2b42, 0xd3737f65, 0xa293107f, 0xdb5f9768,
+    0x9ee607b9, 0x06c75f62, 0x00ca11ed, 0xf0adecb5, 0x6f829b76, 0x62d6660c, 0xe257aae8, 0xef1d134f,
+    0x67d0c39c, 0xd72189c2, 0xd0c602a9, 0x6d5f2f8a, 0xc0cd7d94, 0x05953c70, 0xb87ae227, 0x1de77073,
+    0xe77aa8be, 0xd53cf3ad, 0x8931c9f7, 0x7754983d, 0xb817aa45, 0x66af9155, 0x00deaf23, 0xee86d637,
+    0x54c134d6, 0xa9d52a7b, 0x249ad9e1, 0xf56195c2, 0xe911e38b, 0x4f6ba40c, 0xf3a0efe5, 0xe5dcfd90,
+    0x90718e96, 0x02cd8c15, 0xafef2b46, 0xc20ad1a5, 0x395ec42a, 0x364a3960, 0x9fb6735a, 0xbe771ebd,
+    0xb5220f90, 0x9d36e54a, 0xd007719b, 0xa5c2d29e, 0xb3d7465a, 0xb09ce89a, 0xa0d7bcf9, 0x1ef50d90,
+    0xe2a11d54, 0x88ec3f5a, 0x2420513e, 0xde38d923, 0x0c72ab53, 0x056b4171, 0x53e4aab7, 0xd1fc2b62,
+    0x6d5232aa, 0xa33a3570, 0x3cd09315, 0x500d4079, 0xbf0309e6, 0x9f3abda6, 0xdabd5e11, 0x283b13db,
+    0x1e9c0410, 0x36f845a9, 0x52e21bc8, 0xda58b0bd, 0x73acde69, 0x8be1f84c, 0x238dfbd0, 0xfddb8a83,
+    0xd238e0db, 0x77c49871, 0x2df9aa2b, 0x0ae8f8e7, 0xbf7cc438, 0xedddd365, 0xae57ab77, 0x10cbac4d,
+    0x0e670577, 0xa7da696a, 0x51d72277, 0xffac2b21, 0xb55c5851, 0xb13e7aec, 0x944211bc, 0x9aab0cf2,
+    0xc6d30c7d, 0x474c04f5, 0x6d801091, 0x6dbaacbe, 0x4d8b6f37, 0x6573f313, 0x28561e7f, 0x7ec5aa7b,
+    0x56777136, 0x7eb0e627, 0x08fd8dc9, 0x15d0b9be, 0xaf7ed3bc, 0x3c6dbc6b, 0x0bba615d, 0x997734ad,
+    0xc5778af3, 0x1fc4a74e, 0x03c97463, 0xb925afe9, 0xf70bbfcf, 0x55a4edd1, 0x82d03ba9, 0x149d53ca,
+    0x6fced1e1, 0x51eb0ec7, 0x4193542a, 0xef949fa5, 0x913848a1, 0x539b3dc5, 0x599b3448, 0xb53e1f0c,
+    0x1181187d, 0xe65d824b, 0x35c946c4, 0xb16610a0, 0xf7773ed2, 0x4056dc9d, 0xe2e2069c, 0xd38e36ee,
+    0x1017f18f, 0xc58ecb10, 0x2d685f14, 0xc9aee769, 0xc152126b, 0x0726c45a, 0x3ab3a408, 0x23c04067,
+    0x322156ee, 0xbc9b986b, 0x7b6d564c, 0x7d95188f, 0xb3a7cf07, 0xd03445ff, 0x78b211c1, 0x8a5dd9bc,
+    0x79f6e205, 0xa8a7287c, 0xb72b8ff1, 0x0b42ff0e, 0x8c981a6f, 0x1d6c2c2a, 0x3fb734bd, 0xac223219,
+    0xce125457, 0x9d3720f4, 0xc7dc1500, 0x9b46bcd3, 0x6842899f, 0xcb574641, 0x2c5f490d, 0x13b58f8a,
+    0xd77ca45e, 0xf195c3cd, 0x226d7a4c, 0x08fdc3cd, 0xbcc184d2, 0x6bc15e24, 0xf652c1c2, 0x339fecfe,
+    0xe500ca34, 0xd2db3f50, 0x8cd9a980, 0x7a3f3fd8, 0xe512d7ec, 0x0526f497, 0x64f74a27, 0x3baca519,
+    0x9bdaeefd, 0x31906838, 0x1d8b91ff, 0xf79ce4e6, 0x1f007ae9, 0x26df7acf, 0xdb13029d, 0x7c3cd022,
+    0xd9621ada, 0x47b7537a, 0xb1b6f827, 0x58ffd826, 0x0669fa1c, 0x57c5f297, 0xaa110046, 0x0ecf29b6,
+    0x441e87e9, 0xb63d9e9f, 0x4f02335d, 0xf69ff601, 0x0a813258, 0xa8c79e05, 0xb70d8166, 0xcafc9ebb,
+    0xdeec5011, 0xffe64438, 0x66942584, 0xe58f435b, 0x918dc1f6, 0x6b97db79, 0xe7e3634e, 0x72407257,
+    0x39b1d416, 0x21dc4028, 0x30aafa32, 0x1e448cfa, 0x5b273421, 0x3f5d12e2, 0xcde89da9, 0xf99d3d6c,
+    0x098fc519, 0xba7d42fa, 0xbc64663b, 0xead27d31, 0xd4c352ef, 0x3491db4b, 0xe39eec27, 0x353812c3,
+    0x9785b19c, 0x0970978c, 0x9c8b9aa5, 0xdfc63896, 0x1da5e1d0, 0x235e042d, 0xa6639d29, 0xc7f521f0,
+    0x4ad994d7, 0x0c1cdf4b, 0x3d76ad55, 0x7a65438b, 0x7ba18f31, 0x320c1afc, 0xbecd385a, 0x564f0e6a,
+    0x2e10059a, 0x9550f3c2, 0xa7bc3bda, 0xf5c23dae, 0xfbf26bc0, 0xf2236086, 0x7dca5c8e, 0xdbd76f17,
+    0x3b586ef8, 0x9eef4979, 0xf5ff7b7f, 0xa0e88118, 0xf9d75575, 0x38280848, 0x3e649f0c, 0x5194875e,
+    0xdddf5359, 0x95dd853c, 0x2ce0e1c7, 0x7257d2ee, 0xebe0a13d, 0x1e5505a6, 0x5f9b8dc5, 0x60af5818,
+    0x6f28ce0b, 0xe0ff6cbf, 0xa9948d19, 0x983c8c1b, 0xd28673dc, 0xec604008, 0xd4b5536b, 0x2cd4707f,
+    0x8bd65a32, 0x39c23bdf, 0xe929f3e6, 0x5f01b498, 0x9283cc7a, 0x57d4243f, 0xf8633348, 0x42e5dfbe,
+    0x1389d414, 0x1e51d612, 0xf7479ad5, 0xa950b9c3, 0xccc17cae, 0x5ae93ae1, 0xa3b8b6d2, 0x31e941b3,
+    0x8ecad6dc, 0x8027edaf, 0xae095c58, 0x9a975acc, 0x68dc8310, 0x1b547614, 0x6e6ca5a8, 0x6224972a,
+    0xabf9643a, 0xa4f9ff2b, 0xb9922472, 0xfb364f81, 0x3b807d26, 0x7182632d, 0x3a81e68b, 0x20149e73,
+    0xa185283a, 0x91dc8d1d, 0x9b5654e8, 0x9948fbf9, 0x3d2a9b0f, 0x8c377786, 0x3ec25d87, 0x8e1d0444,
+    0x2208adb6, 0xd3e58721, 0x5bfa169b, 0x4b8ddcdd, 0x2af3f0e2, 0x6bb53882, 0x0213e5b3, 0xb9028740,
+    0xe936d2dc, 0xf93fe869, 0x33c456e0, 0x358e0884, 0x3342d52c, 0xae8d65a3, 0x4203b7c4, 0x28392289,
+    0x495078d2, 0x9272dd10, 0xe7e236bf, 0x4e2d6d5a, 0x3ae81711, 0x273afbf0, 0x18b24263, 0x49d1b4e5,
+    0xc27a4936, 0x7356069d, 0x54fdd7d2, 0x455bb752, 0x67b404c5, 0x207f848a, 0x227143a5, 0xf8b97ed0,
+    0x3fd1226d, 0x847eddba, 0x527ea8d4, 0xedd44db8, 0x2f90e12c, 0x125fa326, 0x4770c378, 0xaab1621c,
+    0x7627a2a5, 0xe2fe7426, 0x463bc816, 0x43c8fbf8, 0x9200091e, 0x59f50f5d, 0x21caa6e2, 0xe87ece3e,
+    0x4f5d763c, 0x9618b9bf, 0xc2f36729, 0xa179d89e, 0x920d36e8, 0xd03db51c, 0xcfa6517f, 0x235c0af3,
+    0x74eab5f1, 0xe35fddc9, 0xbb6611a4, 0x18b84f9e, 0x3aa86ff0, 0x4f6c4571, 0x023221e2, 0x5ec562aa,
+    0x803c0ca9, 0x5f523e9a, 0x6f48ac64, 0xd66715e3, 0xae0db049, 0x6184278d, 0xc2e0f7bc, 0xa7cf6f85,
+    0x00000000,
+    0x6a748db4, 0xaff1bd9d, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000822752278660603021077484591278675252491367932816789931674304512 */
+  { 0x00000000,
+    0x96422736, 0x1c303699, 0xe0a75e60, 0xb1e94b89, 0xda1a45ec, 0x18436b18, 0xa6a80ec9, 0x468a8d08,
+    0x01c5c51a, 0xdd6a603e, 0xdb06bdfe, 0xa78d7fb4, 0x042aa04b, 0x0585aeef, 0xa13c0ce1, 0x87e08639,
+    0x5886d8c1, 0x2ffbfe2d, 0x871a9b8b, 0xc9a06ce3, 0x0ee12240, 0xd8df0c85, 0xfb13b088, 0xb6f52e69,
+    0xbb638251, 0x325ac0d2, 0x6946380f, 0x93a99ff5, 0x973f9069, 0x7da46670, 0x6c637ecb, 0xa6cf64d6,
+    0x1d485960, 0x6c7f198c, 0x55fd7eb8, 0x8c860ef3, 0x34607847, 0x18bb97b3, 0x393c25dd, 0x29c9bb3a,
+    0x4dd924c4, 0x2463bd36, 0x2fc8c3ea, 0xa273f56c, 0x0d43015d, 0xcf50d81b, 0x6780203a, 0xe0707779,
+    0xcffb9228, 0x0418dd4c, 0xff0e9d50, 0x5924cc52, 0x58cb46e1, 0x44beb9ba, 0x5c2fac21, 0xa876f06c,
+    0x503a8f5b, 0x74cac4f9, 0xf4d63cd8, 0xe1559696, 0x6089457a, 0x757dbfcc, 0xf5cab609, 0xf7c5f3f1,
+    0x75247ecf, 0xbbf0a84c, 0xfa143139, 0xb3222197, 0x343fe711, 0xe68a78e8, 0x5c443e9c, 0x662fb0f2,
+    0xe6609ad6, 0xf981492f, 0xad646116, 0x4051d958, 0x58de61fb, 0x401f5c3b, 0x1f3cc9de, 0xfb525a09,
+    0xbab86a9b, 0x2b93e3c9, 0xbb208fb8, 0xc312c8c6, 0x7a329fef, 0xc360686d, 0x41d36a74, 0x6df430be,
+    0x55ba6095, 0x4aa57264, 0xd2252f5f, 0x5b7355cc, 0x6e98fbdc, 0xebd2998d, 0xf30dce70, 0x85dbbd62,
+    0x503821e5, 0x7303432d, 0xef42a14e, 0xec3e8eab, 0x735f74a8, 0x867f90e6, 0x0c37cb34, 0x56521c2d,
+    0x76619874, 0xa6ae1c6c, 0x7710a2a5, 0x551dfc9e, 0x42f9da3c, 0x195c6511, 0x3d499d91, 0x7439f53f,
+    0x04c51de4, 0x6197e3a6, 0xc3fa91cf, 0x52fac625, 0x26ec5d11, 0xaa3fcd20, 0x861ef9ad, 0x0f10faa7,
+    0x1cf2c13e, 0xf7c7bb8b, 0x6a53916e, 0x02173da7, 0xa0a7a171, 0x7bdaa067, 0xc5efdf1f, 0x140f9629,
+    0x7b6ce922, 0xc66a4b10, 0x2a41b08e, 0x68d64ee2, 0x9ea40a89, 0x5ef32e48, 0x49d95052, 0xcf2aadfd,
+    0xb3befb0f, 0x55870ff6, 0x780b4c34, 0x7f999729, 0x9505d770, 0x05fdce8f, 0xa4f8cfcc, 0x868f9905,
+    0x0419c29b, 0x408437ea, 0xb6486024, 0x42c3d421, 0xa5c572f1, 0x0ded234e, 0x9a4d54aa, 0x3377aaea,
+    0xe87eea7a, 0x6ad45fda, 0x41ba868d, 0x886185b9, 0xf6d2c7d6, 0xf3da96d5, 0xd6dda3ec, 0x8892f2f6,
+    0x7a699cfc, 0x7227354a, 0xf689f1f9, 0x20eb675d, 0x4547689b, 0xa26d2341, 0xdba73505, 0x4b47465a,
+    0xf1a09b04, 0x13bb2cf9, 0xd2c50da5, 0xfdbe94be, 0x795b14de, 0x3e3d5491, 0x5221fb41, 0x73c0067b,
+    0x5c37d7af, 0xec112d62, 0x16c81c5f, 0x7c8f6fb2, 0xa61cc198, 0xdb7c8994, 0x5595cf47, 0x3d2ca6be,
+    0xb92806ec, 0xa09cede2, 0xe29af6c1, 0x681b4abc, 0xcfa95d5e, 0x8f7fa11e, 0xeb515b81, 0xb33448ab,
+    0x3beed8c9, 0x1f4e84c0, 0x416d6040, 0x093dd22f, 0x6eb6c9f9, 0x417040de, 0x3696092b, 0xa4735433,
+    0x5acfff18, 0x233617a1, 0x03aa4a44, 0xbc36ef35, 0xbe0b5bd2, 0x1e3e71a3, 0x256a8150, 0xa93350e7,
+    0x15d158d9, 0xcd21d916, 0x7a3f8920, 0xec6e177e, 0x5339ad88, 0xd617ba79, 0xa43bc0f4, 0x02485124,
+    0x7367c6fd, 0x543835df, 0xad15a9d2, 0xd0cd4dbd, 0xf53df17c, 0x317aa54d, 0xbfd57f34, 0xdffc8e6a,
+    0xf14d94e0, 0x7e88d6de, 0x4befe164, 0x01a5ee40, 0x93f877cc, 0x501cf413, 0xc55722ec, 0xffc81848,
+    0x248b8f7d, 0x4c64eca4, 0xff0072b3, 0x66ac3ad0, 0x99b0b877, 0x04a6b009, 0x3eb81925, 0x0af35700,
+    0x36f897eb, 0x0f1b67f5, 0x47b2ea7a, 0xe3c4cd78, 0x77459f1f, 0xbebed6d3, 0xdf1201a0, 0x1f4b48a1,
+    0x300c8ba1, 0x760c04c0, 0x18091e01, 0xff83bc0b, 0x0591626a, 0xc3140bb9, 0x080f3a49, 0x84552c63,
+    0xfe677023, 0x88bf6e1c, 0xd9b23c52, 0xe093857b, 0x2cded6ec, 0x14157790, 0x5e7aca08, 0x0e3d5771,
+    0x0f99b1f5, 0xc6f2ca92, 0x2773b98e, 0x6410c62a, 0x8a3a83d1, 0x337829b7, 0xb3a9f8c7, 0x8b400e43,
+    0xad50557c, 0x5693698e, 0x55fcc202, 0x6cd3ef72, 0x29df3c74, 0x859aed7b, 0xa8c400f3, 0x446beed0,
+    0xaacea6e3, 0xca196087, 0xb393b7b8, 0xa101de4d, 0x973a2027, 0x2f1d805a, 0x66a00d0e, 0x4f6c4153,
+    0x005c94f3, 0x63e743bb, 0xdad9d8ed, 0x5207653a, 0x2f10a16e, 0x3bfa0c44, 0xbafbf8d6, 0x206e4822,
+    0x98783b67, 0x5b32e35b, 0x5d5f7cf9, 0x934d9763, 0x38d83c2e, 0x41c7838d, 0xbc378d98, 0x09943b0d,
+    0xd88ef2a8, 0xecec5566, 0x8ebf3b7a, 0xe9788635, 0x5e1018b8, 0x5f88718b, 0x07375faf, 0xc5551b4b,
+    0xc45e58ed, 0x5f77bc55, 0xa5fb83d3, 0x43a84e40, 0xa710887c, 0xaecd28bc, 0x772a13b2, 0xbe33e31b,
+    0x45d08b85, 0xd28d7612, 0xe4cfb993, 0xca619371, 0xd0fc7886, 0x424e7876, 0x17bdb66a, 0xef37321a,
+    0x499462cc, 0xedae8ec1, 0xba98905c, 0x413b8dd8, 0x7dd16152, 0x3ddcfe96, 0xf2f19055, 0xa59c34d3,
+    0x3a94630c, 0x08d80555, 0x2044b443, 0x3babe2a9, 0x4356e2e7, 0x20608d74, 0x47255ed7, 0x7d4deda2,
+    0x8b16c276, 0x1acef915, 0x651fbc8d, 0xc48d3aa2, 0xc1208380, 0xf15d7c98, 0xf71d22d5, 0x45ab5a9b,
+    0xf2a88d9f, 0x8db5bf13, 0x433280c0, 0xf4c3c585, 0x4eb93372, 0xd671eeb3, 0x5c43985b, 0x369cb2ef,
+    0x39adc32c, 0xa1d718bc, 0x17c635e7, 0x313653e6, 0xe7527440, 0x62d399fa, 0x65bb34ea, 0xd2b8e108,
+    0xdd0993e2, 0x7cb77dde, 0xc930e95c, 0x72c03d5f, 0x3aec66ef, 0x52103baf, 0xa98d662f, 0xfa8a48b8,
+    0xff9a4439, 0x56d6dba8, 0x9c93d59e, 0x72eb7f93, 0xe5ccc856, 0x56149896, 0x1b8271bf, 0xa803178c,
+    0x927597ac, 0xe9bf3c5d, 0x4671db2b, 0x5ebf3ee3, 0xae319a98, 0x3f98ce20, 0xcf0c18d4, 0x4ed3f3f6,
+    0xc110b208, 0x82b48b7c, 0xd4459629, 0x6dfc2f15, 0xe38b34fa, 0x97e43cb7, 0xcd08f7a3, 0x3461b72f,
+    0x3797417e, 0xa6af12e8, 0x22b14aba, 0x4c74c0bd, 0x02c35831, 0x8be66ec8, 0x24e388e8, 0x5baeb6ba,
+    0x1b2478e7, 0xdbb6f39e, 0xba42f1a7, 0x00692447, 0xa5d9281a, 0x20fedf27, 0xca5fd781, 0xada0d6d9,
+    0xf46063ca, 0x18c2172d, 0xe44953ce, 0x45fb441f, 0x11ecc4e0, 0x21934c5b, 0x2b5344e6, 0x63beb66a,
+    0x5807ad4c, 0x36c9c4f7, 0xce3939e9, 0x7005305d, 0x991cd053, 0x8dedf3ce, 0xe76100a8, 0xac287221,
+    0xe4178d76, 0xb5c1374f, 0x85ad6343, 0x5b5f5014, 0xec9501ae, 0x905c79ed, 0xf3a664e3, 0xa1fe943b,
+    0xe6004132, 0x8586970f, 0x4e8125de, 0x39727480, 0x2de61de9, 0x12d8d86c, 0x3a6a68a8, 0x5f99bef4,
+    0x057f0d84, 0xd5d7ade8, 0xfd8ac2c3, 0xae7de5ad, 0x69818649, 0xfae37f44, 0xba348fc2, 0x7b38266b,
+    0x4e0f339a, 0x7edc5e31, 0x00c503b2, 0x86835cb6, 0x12ef8b5e, 0xa159bea3, 0x5524d650, 0x15c84130,
+    0x56c558ee, 0xb1f51e5b, 0x8098ed87, 0x2d760070, 0x5d398d37, 0x48143901, 0x36c96f2d, 0xb1749a4a,
+    0x7ab9c5f9, 0x1d062e1f, 0x22120d21, 0x84743532, 0x8263143e, 0xa18a31ff, 0xbd0cd1b0, 0xa66fb054,
+    0x63b01412, 0x2c6fc65b, 0x76eb6d10, 0x84dce70c, 0xb3229493, 0x4a8dcd01, 0xfd1d3bf1, 0xdcc899f8,
+    0xcb5dd967, 0xb0c6d733, 0x8857072c, 0x77b1b687, 0x2b4d44bd, 0x2442464b, 0xd899a53e, 0xe1e30ba3,
+    0xe343e841, 0xcba8f247, 0x04021f10, 0xae7f6efe, 0xa78a6391, 0xe7046915, 0x73ed475b, 0x981a0e2e,
+    0x705d8284, 0xf57c7975, 0x4796d326, 0xd217ea88, 0xcb0ff9ce, 0xb181a224, 0x44198026, 0x84a8489c,
+    0x17a686fe, 0x6702c49e, 0xe7d0ac77, 0x7280f7b2, 0xf2a1710c, 0x8ea3e37b, 0xfa6abd62, 0x75765c01,
+    0xe3258ba4, 0x35814431, 0xf456860b, 0x15423d91, 0xe6c31137, 0x210336e4, 0x42eebeff, 0x4d5e6540,
+    0x1c5b50f3, 0xb102c6d1, 0xe380310c, 0x02ff0d45, 0x98625bd6, 0x3310c64e, 0x204a819e, 0x039b39f9,
+    0x6ae2a1af, 0x85daa920, 0xad8436c2, 0xd2ec4c91, 0x1396d7ed, 0x3d664d17, 0x8d7b45c7, 0xbfd00e9b,
+    0xf3b743f0, 0x3fbc228f, 0x369d02be, 0x3a53727b, 0x67e4f361, 0x9ba41d2e, 0x4187f8e2, 0xd19d75f3,
+    0x9c768684, 0xa21df984, 0x70aaaf0c, 0xc1a38a1d, 0xf6f35be5, 0xd71996d7, 0x82730fe4, 0xb065e1dd,
+    0x8574e7eb, 0x9004da91, 0xe6b519be, 0xc9daf171, 0x8aa8e23c, 0xb0fdaa15, 0xa76da688, 0xc013a29c,
+    0xa57f0a58, 0x216abe5f, 0x5bd437a5, 0xafad1921, 0x89bb210a, 0x1a91d097, 0x5a994969, 0x287338d8,
+    0xeca65261, 0xb7fec2d5, 0x27993d56, 0xe2c3264b, 0x93e8b870, 0x12002678, 0xa61a8b4c, 0x09d15488,
+    0xaf6df1ab, 0xfe145768, 0x1647cb48, 0x3fc62f74, 0x6127a15f, 0xef8826f9, 0x02fd9909, 0x2c01c554,
+    0x38edf032, 0xcac1a452, 0x063dcb46, 0xd6214202, 0xb670beaa, 0x7d3b81ff, 0x32ed5dc7, 0x6461d812,
+    0x97c7a479, 0xaf360991, 0xd469c183, 0x29e5acbe, 0x6b28e463, 0x16426921, 0x6f78a8eb, 0x25eebf10,
+    0xf2845360, 0xb65442e1, 0xa4cd9780, 0xdab3da33, 0xf2234db3, 0x5433c3db, 0xe5d44b71, 0x1e3f60af,
+    0x9766b524, 0x42db0b98, 0xe52062ee, 0xdc5f1b08, 0x4bb6dd9a, 0x5b25135e, 0x708ba1dc, 0x8f8eea37,
+    0x5a1f8fdf, 0x3f732c3c, 0xb860445c, 0x326364c0, 0xe2a60aa2, 0x4f2d4159, 0xcae787e8, 0x0cd32671,
+    0x596ac8aa, 0xd821ff28, 0x13397e24, 0x7177459e, 0x30e22c92, 0x859eb884, 0x26946e52, 0x15096ae1,
+    0xb1671bea, 0xafee011b, 0xc918bea2, 0xf054b40f, 0x60eb6401, 0xee2095ab, 0x8382226c, 0xe53c83bb,
+    0x08dc0a65, 0xc1357800, 0x25d687ae, 0x8a620b8f, 0x8307ef6e, 0xc1172249, 0xb84a1fee, 0x8a78a394,
+    0xc35778ca, 0x04d0d726, 0x8b753791, 0x92af6dc8, 0x76ded836, 0xd2825c4d, 0x1d4e0f31, 0x31aa0824,
+    0xc7a080ff, 0x96cfcf8f, 0x61576e70, 0x8969851d, 0x96633fae, 0xbd06db24, 0x0c1745c0, 0x25b56134,
+    0x77fb96ce, 0xdf3e32d1, 0xa611e6fe, 0x368a393d, 0x7d92dfb4, 0x000e9036, 0x450919f2, 0x6dcfd0ef,
+    0x522a4173, 0x4d02e66b, 0xe18e6674, 0xf3d688b1, 0x82d2bc18, 0xad1a5edc, 0x2785a744, 0x7850f6c4,
+    0x920e6d5d, 0xf57775df, 0x56a79916, 0xcdc0481e, 0x2a0115ee, 0x3cc9543f, 0x83f2fa7c, 0x4e560b29,
+    0x45e55d74, 0x705255a2, 0xdf33258a, 0xf0a184f5, 0x309aef29, 0xe999390f, 0x65691edf, 0x005748d3,
+    0x06cbc82d, 0x8654d522, 0x56fd6dbc, 0x57560341, 0xd708621b, 0x05a350cf, 0xa6395145, 0xa5c7f974,
+    0x175d2ea8, 0xc8174a50, 0x5c6163b7, 0x069c7d0b, 0x98c3f320, 0xd1721867, 0xbc48866a, 0x728a5b55,
+    0x5bb647a9, 0x84a40d37, 0xecf717f4, 0x466be165, 0x24ed62a7, 0x554dc194, 0x86416c16, 0xb3ec60f9,
+    0x2a3429f8, 0x67a4ace7, 0xae4eaffb, 0x819ee508, 0x5715bda7, 0x295aba98, 0x2ed3eb7e, 0x09ec4fa6,
+    0xff5a43df, 0x3e89f45c, 0xb7ec1226, 0x7a70215e, 0x9aaaf349, 0x6e2f289d, 0x77ea4ee3, 0x2729b568,
+    0x9784d50f, 0xae9cbd4c, 0xf3111c51, 0x1f71df2d, 0x12aefe1d, 0x01b42dfd, 0xbbbff89c, 0x7dae7a64,
+    0x1a86a965, 0xdceef2b2, 0xc1dd27cd, 0xe646ebbf, 0xb7c9f374, 0x47cb10c3, 0xfee65b34, 0xef9c42e0,
+    0x2bc4b2d6, 0x6a686859, 0x94cfdad2, 0x205862c2, 0x83cc452e, 0x4185212b, 0xdfeaad55, 0xe478de79,
+    0xaa54383b, 0x1cdb821d, 0xe5fb37ca, 0x127edd6a, 0xdd8724d2, 0x2f6d1aae, 0x8e276231, 0x27c3eee8,
+    0x0314590f, 0x6a205896, 0x44557845, 0x6647d45e, 0xf334df44, 0x81fd398c, 0x2de76e44, 0x9463b0a3,
+    0x995c2b08, 0x4ce47032, 0xb1fecf54, 0xcffd4833, 0x2ef23a9c, 0x8fa59818, 0x5ac67468, 0x5eb1719a,
+    0xa4a63f69, 0x61c08bef, 0x65879b8c, 0xb2e1c412, 0xfa923f91, 0x72e45b8c, 0x60a234ac, 0x400474bd,
+    0x999dd9a1, 0x481909ac, 0x9f90a5f6, 0x0eddde5e, 0x906641d2, 0xbb547cc9, 0x87850ea8, 0xe5d98e65,
+    0xfad2b4ed, 0xa2db6b2e, 0x0e8a0556, 0x235be863, 0xc9ae0d60, 0x31d8716d, 0x8f72da56, 0x3cd014f7,
+    0x82387e9a, 0x8275cdc2, 0x03464080, 0xaded67d8, 0x536b2838, 0x60ed4fea, 0x93c5e974, 0xb5fe9ed1,
+    0x107318e9, 0x108eb16f, 0x836cce34, 0xc4d825d2, 0x04c63b0d, 0x56c5e3e0, 0xbead28ef, 0x058b8b0c,
+    0x60587457, 0x39ceab73, 0x70da0e74, 0x52d6c57e, 0x15737cdb, 0x2fc9a1d4, 0x43122b95, 0x1e409430,
+    0xdfad86d7, 0x4975e5e1, 0x91aa9ece, 0xa626278f, 0x4d64755f, 0x3bfe41b7, 0x6a7dd0ad, 0xa2c1c9d8,
+    0x568a1ebc, 0x72d8a9cd, 0xcb4b1b09, 0x9d993f1d, 0xa9eed867, 0x6cbed06c, 0x9de865c3, 0x0e6674e4,
+    0xf4764657, 0x75a61200, 0xf43c8c2d, 0x583adca6, 0x5ea694b1, 0xd0ecb52a, 0xe2527e7d, 0x64bc879e,
+    0x23a601d2, 0x6b4ada2c, 0xad630eb1, 0x52e75c88, 0xce1021a7, 0xa393591e, 0x19685c90, 0x18b5b209,
+    0x7348c2a6, 0x3c779ee4, 0x968e9bdb, 0x80fd3556, 0xdb126a74, 0xbeb5cb3a, 0xa512d42e, 0x7d483c01,
+    0x953182eb, 0x2d61e836, 0xea517027, 0x0a91d7cd, 0x5e80586c, 0x8768f37a, 0x7c452571, 0x5446553d,
+    0xe31fbe4b, 0xfc6e8e49, 0x0f3b6b08, 0x94fe8d10, 0x07c0fa04, 0x599323bb, 0xa09059f9, 0xbd5c6c3f,
+    0xf4485d6b, 0x3874c9ad, 0x7128e70b, 0x4c555fa0, 0x89618c90, 0x1128ef7a, 0xa0aba521, 0x9e008dba,
+    0x53845d9b, 0xd09e3385, 0xf608e57e, 0x691b608e, 0xf39731c8, 0x96f431fb, 0x04b45cde, 0x9f748d47,
+    0xfef64dc4, 0xbc7b96c3, 0x99b6f6f7, 0x1a715261, 0x3b1503d1, 0x5b479d87, 0x7e169d23, 0xcc6fde8a,
+    0xeb43f8b3, 0xe4bca7f4, 0x0a7e46a4, 0x674b8b41, 0xbe012051, 0x98369de9, 0x4a44fbe9, 0xd57877fd,
+    0x87490277, 0x655ce7e3, 0x5b5a46ef, 0xe51deaf2, 0x6767b7c1, 0x264348db, 0x13d5a389, 0x89a1914d,
+    0x86db5f76, 0x755f12b8, 0x9fff87c1, 0x8ae1f420, 0x03f01f74, 0x20c9a13d, 0xe0d33e23, 0x8c50e93b,
+    0x2dbfa571, 0x9f2d169c, 0xd4bbac7a, 0x57e41838, 0x9aa3f90f, 0x4cd26841, 0xa7a359b6, 0xb7c172c8,
+    0xe7dde316, 0x20244775, 0x286d2dfb, 0xa5376465, 0x841edfe4, 0x7a986ebe, 0x81fd426b, 0x851226dc,
+    0x2f7e12ab, 0x30f4810a, 0xd60dc580, 0x75747ebb, 0xf0d2c31d, 0x34e08690, 0x649d5d7d, 0xe103d3ed,
+    0x4dbc36e6, 0x90005090, 0xbcebe81b, 0xc81cc0e7, 0xcfa9ed35, 0x6d8408c8, 0xbd928764, 0x4dbf1720,
+    0xb65d6295, 0x27506cd9, 0x7e45ce0a, 0xd577323b, 0x8823b8e2, 0xc90101f9, 0x70dc6b4e, 0x7f76da36,
+    0x21252c76, 0x1ea70e33, 0x0708b2ac, 0x76448b8b, 0xcb0708c5, 0x93c3ee58, 0x9625ef97, 0xab8133a7,
+    0xbf7e1b25, 0x956c2c22, 0xd621f243, 0xd5d45467, 0x9a285374, 0x231397f8, 0xaba5b93c, 0xe80597a1,
+    0xc80bf9b9, 0x67d601a9, 0x9dea146c, 0xa9b32948, 0xcd215dce, 0xc256bbb6, 0x730c41f3, 0xcf443ea8,
+    0x00000000,
+    0xb53a46d9, 0x57f8dece, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000411376139330301510538742295639337626245683966408394965837152256 */
+  { 0x00000000,
+    0x36349895, 0x24ce70d0, 0x3e36af4f, 0x4f682caa, 0x0c11ff5a, 0xc8072f86, 0x089bc98a, 0x3f646e27,
+    0x5c37746e, 0x910807fd, 0x57ee766b, 0xabe15752, 0x1f504c93, 0x049dd3d3, 0xac4cef2a, 0x70d632ba,
+    0x1d0e4b5c, 0x53b7dcbc, 0xd000d467, 0x80a252eb, 0x3bef83bd, 0x76dc821a, 0xf9aa14ac, 0x1fb6c3ad,
+    0xdc6e7626, 0x626b3b53, 0x06f6fa4d, 0xc90d77ce, 0x9001dd31, 0xd84d60ca, 0xee023c88, 0xbf4e0908,
+    0x470b175a, 0x7a07283c, 0x8f2ae50a, 0x2fcc4c6a, 0xc9061a87, 0xb973f643, 0x514f9f1c, 0xa68b6fc4,
+    0x590a9fba, 0x48640a0d, 0x2a8ccfb0, 0x4e51fb66, 0x18663950, 0xa04a78de, 0x39fae4c2, 0xa45f700d,
+    0x87728992, 0x533b9932, 0x0dc1efe9, 0xd4d80c25, 0x7df7a40a, 0xea91e062, 0x207adbed, 0x34af5be7,
+    0x1f184def, 0x0fb9eba3, 0x6d9898e1, 0xadc5665d, 0x931cabe7, 0xe47a0dbe, 0xe6b4a8e8, 0xc801ccf1,
+    0xe1242805, 0xf8f88947, 0xe84d808e, 0xc8793b16, 0x3d6c3304, 0xc6f923da, 0x5545d6b8, 0x99d4504e,
+    0x28efb783, 0x26e2dd32, 0x79a11164, 0x7a46d728, 0x16522389, 0x1a270f39, 0xbc81fc40, 0x1b48f9eb,
+    0x8e033241, 0xf50ebcd6, 0x34a4e56f, 0x6bee9c1d, 0x8401ea4f, 0x7dc19ba2, 0x7f1ca87b, 0x9c21ac44,
+    0x1c0d4f63, 0xc3fada7b, 0x8609fecd, 0xd8299c5d, 0x8282866e, 0x0c1e9bcc, 0x2d4d4601, 0xadd910e8,
+    0xf0d2bd3e, 0x340fc4a5, 0x8719dc28, 0x4215230e, 0x4e0d1944, 0x3823303b, 0xae0002da, 0x46d0a073,
+    0x4cca053a, 0x4a9bb867, 0xcd8c151a, 0x0f119eff, 0x8a6bcde4, 0x57087497, 0xb3175c66, 0xc700279d,
+    0x8a065ade, 0x5d56d2fb, 0x45b0c1d9, 0x7e4796e0, 0xf783926f, 0xf81a26a5, 0x479a5271, 0x07cc19ae,
+    0x7d26b83b, 0xdcb5a6ab, 0xf26f9ad5, 0x7507117b, 0x12dc17f7, 0xe25e8d75, 0x41e2bffe, 0xf0e3cbec,
+    0x1819e07d, 0x2e045059, 0xb41291da, 0x625f50c3, 0xae3c430c, 0x5b4e314f, 0x27287810, 0xb9d3f95e,
+    0xa6b9cdb8, 0x5992fc8a, 0xc1b9fa05, 0x7a930390, 0xb30b096d, 0xd79ab376, 0x9dfe88bb, 0x83489036,
+    0x27f03b61, 0x94853e11, 0xfe3f3597, 0x17951210, 0x0b69779d, 0xe18ac1ca, 0x9101a0f6, 0xada629e5,
+    0x67b9b92a, 0x39f5b67e, 0x49177a4f, 0xe565388c, 0x7f4163da, 0xd56a70f7, 0x630d72b0, 0x0a84abaa,
+    0x39ac1413, 0x155fddd1, 0xb43106c2, 0x2ee4c3ce, 0x472f6a5c, 0xf1c94a28, 0x99264f76, 0x442066ae,
+    0xaa7df19d, 0x85bec9fc, 0x1f78fd7e, 0x49a2e683, 0x7058002f, 0x0b51005b, 0x3f629f89, 0xc5909b58,
+    0x3a9ca523, 0x1e00f5e0, 0xce150068, 0x9e073f8e, 0x3eb8a9cd, 0xf313fe98, 0xc5b01c95, 0x92dda2b7,
+    0xeb52a238, 0xcd749b4e, 0x43c91df6, 0x59eafc55, 0xbbb28ebb, 0x3c257516, 0xbb25718f, 0xe5b1aa38,
+    0x5c3cb887, 0x2edc8713, 0x13f3c268, 0x709ee328, 0x6351373e, 0x8eb1216e, 0xd109452f, 0x06653b67,
+    0x7aff6f00, 0x1fe934b0, 0x305fa751, 0xf0e157f3, 0xda5b238b, 0x4708ebed, 0x0642fb3f, 0x7411df72,
+    0x3eb5f37e, 0x4348d4d2, 0x5f726180, 0x06a1ddc3, 0x2293e831, 0x3910c86e, 0xe815fe3e, 0xef32bf42,
+    0x65149ba7, 0xdf4897fa, 0x00507a56, 0xefbcb53d, 0xaeb4cf45, 0xe28f885c, 0x9272f39b, 0x53db99be,
+    0x0386bdfe, 0x479a9ee0, 0x589365da, 0xc4ea2a80, 0x851fedf0, 0x8709fa16, 0x2fc5c077, 0x854f03ea,
+    0x1b418da2, 0xb9e43411, 0x26f437c2, 0x55e377ef, 0xc5adfedc, 0x868bd0ee, 0x1d4f469b, 0x233f3021,
+    0x4a7ee03a, 0x5b1e6e35, 0xe1781664, 0xd76891c5, 0x99392f36, 0x647a9827, 0x4ebfde2a, 0xadecc7af,
+    0x759d07ad, 0x5db062d1, 0xf38b240b, 0x59fc9006, 0xc0ef4b82, 0x2a0edc69, 0xb02f7ccc, 0x951b989e,
+    0x256c7326, 0xe433ee73, 0x74f534a0, 0x8d2ce027, 0x77e50772, 0xde57f564, 0xd90c79f5, 0x96a82360,
+    0x9aff1f6f, 0x11d02c54, 0xfd99c84b, 0x4072ea99, 0xf5d0c384, 0xab0808a2, 0xbf294eba, 0xf4b49f6b,
+    0x16a076e1, 0x5d9c3c19, 0xc7e98cfa, 0xd2bf8e6a, 0x683fd5d1, 0x103950b2, 0xf687b9ee, 0xa627ce2b,
+    0x6598918d, 0xad79e8a8, 0x3823ae12, 0x6d1dca3d, 0xa65d5186, 0xb06ae8ff, 0x3cc261ba, 0x688108d1,
+    0x46924b83, 0x9ca81dca, 0x51d25946, 0xeb9ae0b7, 0xc2ad7781, 0x79137371, 0x5ca0869d, 0x98d4351b,
+    0x6d740149, 0x6917771b, 0xe0365b9b, 0xb95e09c3, 0x61658a7e, 0x0e6558f2, 0x13f6b2dc, 0x7f3794cc,
+    0x038c9256, 0x1cf4a624, 0xd96d2119, 0x5d294c41, 0x34e02a8f, 0x59e2a2e3, 0x8ade929b, 0x7621c074,
+    0x099af1f8, 0x95618d6d, 0x5447c562, 0x96cc4c88, 0xe81da465, 0x41f4493a, 0xc5604dec, 0x1f4ecb3c,
+    0x3c22f79a, 0x29c9e462, 0x0fc8f553, 0x4ebf6067, 0x7ddb2aeb, 0xc38c39d9, 0x2ba69439, 0x5fc16940,
+    0xe73308d5, 0x3d751dd9, 0x566e1412, 0xd40f9f30, 0xe8540261, 0xef8a1c3b, 0x987d5051, 0x36338a20,
+    0x1b6d6d75, 0x8268e63f, 0xe63ac2be, 0x9b44e39c, 0x4bd37618, 0xd93e196b, 0xbf482a64, 0xbd7678b7,
+    0x5a9c435d, 0x5d85a83f, 0x1dd6354d, 0x2ca2c990, 0x049cefdb, 0x4de182df, 0x66384850, 0xfedd870e,
+    0x92f8e7b9, 0xa42a9d74, 0x629193e8, 0x7c7e8177, 0x97061eb1, 0x5cf30da8, 0xf823244e, 0x9f6591de,
+    0xc5894239, 0x4f44e12b, 0xa68dbcc2, 0xc6dce592, 0xec9b8601, 0xc39149ff, 0x0ca008fb, 0xed35f3ec,
+    0xab336742, 0xd150121a, 0x4253dbe2, 0x5eda630d, 0xb0cb4931, 0xaacc2638, 0x32f91add, 0x4da79af3,
+    0xdb8b9a0a, 0xc95a5e0d, 0x30b71d4b, 0xe9383b17, 0x4eae984b, 0x7b45c11c, 0x6d4fb665, 0x27b92d3c,
+    0x1059899f, 0x6c8ae28d, 0x8b0c857a, 0x2036fcc9, 0xa553dff4, 0xcf37974f, 0x801ae0e9, 0x5c8f3771,
+    0xd9c20e3a, 0xd47e1afd, 0x1f951e90, 0x848f4693, 0x13a59afd, 0xf2cc0a51, 0xe01027de, 0xde77c283,
+    0x8ef82ed3, 0xceb96285, 0x95eb526d, 0x4d9eb4f6, 0x6c9e09f4, 0x9cd25074, 0xb3a33074, 0x733eb230,
+    0x920fe982, 0x28ecb8ec, 0xf4291627, 0xc95c4f90, 0x4601ade6, 0x4fef3baf, 0x7f75b761, 0x19d31728,
+    0x8a769d36, 0xcd549d0d, 0x556f5304, 0x53d2cdbe, 0x57cd458e, 0xda23fd89, 0xd017e10f, 0x905af119,
+    0xbabbe495, 0x669bdb7f, 0x644cf6a7, 0xf3e6faab, 0xe631b73e, 0xf363877b, 0xb899b99e, 0x3268f45e,
+    0x207b6bbd, 0x04dea7f1, 0xe9ff4b61, 0x3f4547b7, 0xa72a1745, 0x4aac676f, 0xa6c829d7, 0x52de272b,
+    0x458da344, 0x912496b2, 0x23493e95, 0x02690cbb, 0x7c363195, 0x3bac217d, 0xed729ca7, 0x2e463f04,
+    0x2c741af0, 0x18cfc9c4, 0x08340be0, 0x7afd10ea, 0xba32ef0e, 0x9f6c066b, 0xc0d0a12c, 0x572691d7,
+    0x6fef2bd6, 0x1cbf51ba, 0x5a539b08, 0xf55b2c6b, 0x800d4708, 0xdc74a8fb, 0x5558afda, 0xdab1112e,
+    0x14473611, 0xfdbedaa5, 0x67f12745, 0x44ee599f, 0xa088294e, 0xe926d5be, 0x75efa321, 0xcbba79de,
+    0x387748fd, 0x33016265, 0xca68cc56, 0x5f16c214, 0x0968c33d, 0x2dcc1864, 0x3aef640e, 0x29058c6d,
+    0x1673d3cf, 0xfbbe57da, 0xab065d2a, 0x3ac90ff2, 0x73b56777, 0x27b41ee9, 0x51bb21dd, 0xa92e6908,
+    0x4b3f9e82, 0x339e0d2e, 0x35fbc7c9, 0xca1c52a3, 0x46c9f6f2, 0x0022d21f, 0x054de037, 0xff05df83,
+    0x89bfeccd, 0xb91504a8, 0x3903aa68, 0x11361747, 0xa80d7992, 0x607437b5, 0x3160de2c, 0x7124c152,
+    0xbd0f4014, 0x69f629b8, 0x62ffbc7b, 0xf1cb5cee, 0xa97105ba, 0x9a5013e8, 0x2ce72085, 0x09c4f05a,
+    0xafd260c6, 0x290f85f1, 0xff94441a, 0xeadfce07, 0x7f856f51, 0x16c66f97, 0xeecf71cd, 0x8c736d09,
+    0xf00ea75c, 0x7bc94be2, 0x5913e164, 0xbd5140c1, 0xd773a243, 0x350f4620, 0x310ffe5c, 0x3cbe6731,
+    0xdbdd8d24, 0xe35e2bb2, 0x3ff034d4, 0x51b90e86, 0xe7582e9d, 0x72bf2cd2, 0xcd76b421, 0xe848c2a3,
+    0x71cfbe0d, 0xd93f5edd, 0x20e234d5, 0x867c53c1, 0x17706db0, 0x84033dc0, 0x4536b658, 0x66fd8a46,
+    0xa532d881, 0xdcf1192d, 0x986751a3, 0x4d76692e, 0x8653ba21, 0x96066ce5, 0x95e23ebd, 0x72410a81,
+    0x4c82e667, 0x0a153922, 0xdf354a5b, 0xc77f5b1e, 0x9b920623, 0x74f7071b, 0xfddc3218, 0xc0173516,
+    0x467660bb, 0xa0b29f78, 0x698dc54e, 0x2bda8619, 0x837f9932, 0x8fa187d1, 0x5e3f44a6, 0x75bdb3c8,
+    0x4fffbac4, 0xd7a05f0b, 0x7ecf8014, 0xf942d4a7, 0x770c3a0a, 0xc0d7ca49, 0x51ca5e72, 0x6d1eb0ec,
+    0x5aeeac8e, 0xd0defd5b, 0xa8f3fa2e, 0x3a63c200, 0xb8d2efe2, 0x93827054, 0xf31d0861, 0xe8b7cfed,
+    0xec553022, 0x278db820, 0xeb8c629f, 0x5c410fd5, 0xc96fa6ba, 0x1328c89b, 0x73c4ef10, 0x5bb9610b,
+    0x4f275409, 0x405a6466, 0x14db3e37, 0xe7e22f3c, 0x360de78f, 0xef802e68, 0x2509f8bf, 0x0f09bca1,
+    0xc3c49d15, 0x6e82a7bc, 0x5f8236d1, 0x9fb22ac6, 0xeaf36fa1, 0xd9573688, 0x828e0359, 0x498b7739,
+    0x3b8e30f2, 0xf7045f36, 0x64121953, 0xe0f0573d, 0xc7afc30f, 0x89e0f32d, 0x6f65db82, 0x455e321e,
+    0xc470c58e, 0x00f4b560, 0x082f4864, 0xfea3ce98, 0xc7ac5dbf, 0xf4cc555e, 0x159bf350, 0x2f60cfd6,
+    0xc75488ed, 0x9c299359, 0x4a28ab0b, 0xadcc7795, 0x7b25f0ff, 0xc29c9a2d, 0x324e7761, 0x168ba00c,
+    0x0e2077aa, 0x607c7b18, 0x399d5488, 0xba0167fb, 0xbd4fd299, 0x746be8e3, 0x2776483c, 0xeb661cb9,
+    0x608a6ef9, 0x30ad2a72, 0xafb60f1a, 0x75a7032f, 0xf21cad58, 0xabe10c3a, 0x88f1e4c8, 0x7eaa14af,
+    0xf6273bb8, 0x6cba0b63, 0x723fbfe2, 0x300cd64c, 0x0c7c38c4, 0x2b9fc1c6, 0x408f156b, 0x4f4c40a4,
+    0xab17df0f, 0x05f88bd7, 0x2ae3df18, 0x20203142, 0xa5003428, 0x251b11ec, 0x68087027, 0x89601ff8,
+    0xdde8b81e, 0x9f2dcd3f, 0xdf7d23cd, 0x06848274, 0xed968fe7, 0xbee39ac3, 0x92c819cd, 0xd3a23697,
+    0x563bcbfa, 0xd55943a2, 0x3a2ac15f, 0x07b694df, 0xa8020ddb, 0xd621c37c, 0xe0f099e7, 0xe774107f,
+    0x37186688, 0x282eb955, 0x8b4a7d81, 0x15de605f, 0x0015928d, 0x10cdd901, 0x42c19710, 0x5256de88,
+    0xf4bf3c2f, 0xe7dba78f, 0x4cf6f710, 0x9e4b7139, 0x40390be4, 0xe8ca48d7, 0xe1361f75, 0x242a23fd,
+    0x3698862c, 0xdd0e7559, 0x3657ac10, 0x21c155ab, 0xc82f657e, 0x1de35269, 0x91cb21ed, 0x7248d088,
+    0xb64681cc, 0x6c6aee89, 0x70e7a7e3, 0x26dc2e26, 0xdc263702, 0x698b3bf5, 0x1e00fb58, 0x946eb0c1,
+    0xad7d6c42, 0x8fc0fb8e, 0xbc9507e6, 0x89dbfacb, 0x2a638b79, 0xcca7bcf1, 0x0a93c87e, 0x97f2d091,
+    0xb191302a, 0x06be8f14, 0xbc7c8f50, 0x35664e93, 0x90f07df0, 0x265d414a, 0x297e592d, 0xaa939567,
+    0x687a516c, 0x10adae12, 0x9890709a, 0x64830bb7, 0x96863d06, 0xb89e895b, 0x6d252d3f, 0xfb67d94e,
+    0x19f1ef28, 0x87973112, 0x22ab2805, 0xdc5d0eb8, 0x185b8520, 0x0cffe0f4, 0xccd94f82, 0x2dc5d74d,
+    0xd6ed9690, 0x17b9662b, 0x05f4160c, 0xa2db92b5, 0x796b424d, 0xa171c3fa, 0xaa283b09, 0x04176986,
+    0x12e37e0a, 0xacfa7547, 0x5129a1d5, 0x20548c73, 0x50568f00, 0x1d708792, 0x0409882a, 0xb0b9187a,
+    0xf1d40239, 0xc39206ef, 0x0900afb2, 0xfdc30e1b, 0xc385d34c, 0x86d69712, 0xea2a3fe5, 0x649c5928,
+    0x8ed2a0fb, 0xb9819cdb, 0x9b0c54b4, 0x31674bc0, 0x0064701f, 0xd31fd8aa, 0x3465909b, 0xaafb1495,
+    0xdd058f01, 0xbb5f1ec3, 0x31d7cc54, 0x5ce076c7, 0x1fcb9a5f, 0x06a5c8b9, 0xe2a72611, 0xb3e0e336,
+    0xf75162fd, 0x9c4969f4, 0x9669f552, 0x451e8fa5, 0x42a0df0b, 0x0d60ae2d, 0x204afa3a, 0xb18c04c7,
+    0x0ee5a0c2, 0xd35e2bcf, 0x9f2a27ab, 0x213c0b5a, 0x58f31f87, 0x18ec1d46, 0xf18be376, 0xedb7ddcf,
+    0xeedec731, 0xc36d4bd0, 0xfe7ff35a, 0x93f13f60, 0xe6162122, 0xfb76424a, 0xf2d62531, 0xa829abff,
+    0xfd27df61, 0xcf3c2e8f, 0xc7d9c399, 0xb23211dc, 0x0e46fda8, 0xa81a4d86, 0x70513a01, 0xf54fb1b9,
+    0x69b0d4fe, 0x9b03b9e4, 0x2d469627, 0xb1266917, 0x2757ff63, 0x5537ed3a, 0x6f014765, 0xa0cfe287,
+    0xc8625675, 0x5e40216e, 0x6bc1de5b, 0x779fd35b, 0x763c930d, 0x605d41ab, 0xb2daad3f, 0xefd5a83c,
+    0xa54b1b47, 0x314ce9f2, 0x4f2f0441, 0x8da4aad6, 0x996a50f0, 0xa202a882, 0x56f69a56, 0xd85ca4bc,
+    0x66474a75, 0x53a558cd, 0x056939f5, 0x4054ecdb, 0x3baf7710, 0x8a592386, 0xd5fddbbb, 0xb7dedb7c,
+    0xa3bb360d, 0x7d38c6e4, 0x7eaa21cc, 0x71353ddf, 0xcb65010f, 0x079aaf01, 0xd0ecdf43, 0x142df3d6,
+    0xc26ae0a3, 0x240c7f00, 0x64e27a43, 0x222754b8, 0x981a2aa1, 0xc76f7867, 0x3b753111, 0xbf946588,
+    0x66ec6b58, 0xbdaee277, 0x5779a372, 0x6366d714, 0xbd45a9f4, 0x1a9ba0a7, 0xe09827c8, 0x4bc2349d,
+    0x7a5a099f, 0xc6885ade, 0xd7b891ce, 0x7916cc6c, 0x6e05d44e, 0x5ad2004c, 0x96bf4961, 0x8c569654,
+    0x3bebe385, 0x368b3bd7, 0x18cbee79, 0xdc8640f1, 0xfb9e481b, 0x0d929457, 0x371ed2c8, 0xf27553ac,
+    0x9f3272c5, 0x6845c5fc, 0x811fbad8, 0x114b2c41, 0x1d50cf10, 0x1aff1fd1, 0xe7a81228, 0x4dca9bfe,
+    0xe6ba0855, 0x429b2b0a, 0xc51e7d4c, 0x3aec915f, 0x62cd322c, 0xeb01ee23, 0x6aea80b3, 0x298f9b7d,
+    0x8ed40003, 0xeaff1487, 0x63ea4bd4, 0x7b90950b, 0x83f8d671, 0xeed764ca, 0xf4bbd711, 0x652703cc,
+    0xba87511d, 0x545b786d, 0xc600e576, 0x9c673944, 0xf3949b07, 0x8dcb63c0, 0x6af7720d, 0x0e513094,
+    0x27964a31, 0x7bfdaf1b, 0x188faaa9, 0x50afc88b, 0xeedb521c, 0x3ea43800, 0x595eb6c0, 0xe4014ce0,
+    0x009a541a, 0xed738b8c, 0x354f0f38, 0xd5280cea, 0xcacf17d5, 0xdb0f39c6, 0x1cd9c11c, 0x1c218ff1,
+    0x51998637, 0xf6c01348, 0x5b1acc9b, 0x956ad265, 0x4d9ce0e1, 0xc8c8ba08, 0x65e48d3b, 0x51ca637a,
+    0x7e0a69ab, 0xea886d00, 0x77da8496, 0x18dbc03e, 0x1414a57c, 0x411060d9, 0xc11d4539, 0xcb3d6f21,
+    0x4ad205c9, 0x6aedcf78, 0xb2317212, 0x75444cc1, 0x0904f006, 0x44ecd622, 0x9083e306, 0x418eda47,
+    0x036e7552, 0x0240c251, 0xf19e3f02, 0x5b63d3ae, 0xe03b025f, 0x1c88a873, 0xb86cf2e4, 0x855baef8,
+    0xfb2f6452, 0x6a4adc27, 0xa00aa425, 0x5f1f9154, 0x946eec6b, 0xfb12750c, 0x9de4109b, 0x12444226,
+    0x602eb37e, 0xdf5c2106, 0x52af78a9, 0xaf97293b, 0xee77cc27, 0xa2e6cd31, 0xb308a340, 0x3d372056,
+    0x0db16ebb, 0xba4edaa2, 0x6e8f61e2, 0x3bba0192, 0x19cb257c, 0xa3373877, 0x8d9f118a, 0x256f4177,
+    0x3a9109c0, 0xf4a7223f, 0x7992b278, 0x3a8d0b8f, 0x38f995f1, 0x5aa77cf4, 0xaeb01278, 0xbf00c545,
+    0xf50fbd7c, 0xcf8f8963, 0x7ceebacc, 0xcf72c2ae, 0x62a6e081, 0x53d21fcd, 0x5f425cbd, 0xa2e1758b,
+    0x00000000,
+    0x5a9d236c, 0xabfc6f67, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000205688069665150755269371147819668813122841983204197482918576128 */
+  { 0x00000000,
+    0x86f120b4, 0x69b95996, 0x6bcca9e9, 0x4b519b05, 0x1f6b9084, 0xea29c8fb, 0x54648e33, 0x9b9d914c,
+    0x31036385, 0xe4ec47a6, 0x11bd8296, 0x43346514, 0xe45ad16f, 0x18dac8c5, 0xea1dadc6, 0x537562d8,
+    0xedfa4f22, 0x83488483, 0x692003f4, 0x5163f914, 0xb05d64ef, 0xbdb049fe, 0x59d528a5, 0xad6807bd,
+    0x968c50e3, 0xbbc8b6f6, 0xf9159a15, 0x08f0cd2b, 0x71a3bdae, 0xedf9be9e, 0x8acc6488, 0xb950de2d,
+    0xef9c8625, 0x619c80c3, 0x778a50ef, 0xdb412707, 0xaba0d9da, 0x9827bca0, 0x33f71407, 0xdc4a29ca,
+    0xb3a6dcfb, 0x9691c8e3, 0x455058c2, 0x7bb99e9c, 0xd2aa7a21, 0xa72c788b, 0xb4f28fcb, 0x6e1cba8d,
+    0x0416bc25, 0xcac3dff0, 0xb0ec82b5, 0xa9d50eda, 0x62f2c32a, 0x5153c977, 0xceccbff3, 0xd08c7a2f,
+    0x70e818d2, 0x3ae9fb76, 0x96ab46f1, 0x778a82a2, 0x78a76879, 0x2719d660, 0x0ad2e060, 0x03ff67bd,
+    0xf25e69ea, 0xa795c078, 0x273cbceb, 0x4b752acc, 0x410d14b3, 0x62b9ef44, 0x0e26121e, 0x647e27d1,
+    0x8809ad09, 0x87fd78dd, 0x274e57db, 0xfd683283, 0x38cab559, 0xd491876a, 0x89d397ef, 0xf43aadb0,
+    0xbea9a6cb, 0x7f491c04, 0x4544cdf5, 0x0d0dd730, 0x7f23871d, 0xd2fad94e, 0x9607b8ce, 0x4a44869a,
+    0x577374e2, 0x3c9b1edc, 0xd6c891e0, 0x95e77f4a, 0x75dfd462, 0xa4622b82, 0x12295bf8, 0x5206cdb0,
+    0xcb9747ea, 0x5afd850c, 0xe0fe4118, 0xdc10a338, 0x28c2ed5a, 0x8b9a918f, 0x0cad91c1, 0x2647d66d,
+    0x3403e33e, 0x00b56cab, 0x95d86731, 0x6ade39b5, 0x6d64aab6, 0xd33d1b26, 0xbe5cc442, 0x8cf4fcb3,
+    0x10bfbeb2, 0x08ef01eb, 0x0013302f, 0xe163858a, 0x310bafab, 0xae1dd591, 0x20a5f49a, 0xa0ebe312,
+    0xf2553abf, 0x38247342, 0xf3b44d8e, 0x8bc18a85, 0x6e2fd47e, 0xfe8e56a5, 0x371375f4, 0xee19d5b3,
+    0xff28fc31, 0xe248b4f2, 0x2985a7a5, 0xc6bf4ead, 0x39d1cdd7, 0xf998d2fb, 0x4cd690df, 0x67bd4bd1,
+    0xb8c05c11, 0x59d1f546, 0xded41309, 0xdca5586d, 0x8c8f2bb1, 0x019f5aed, 0xc1361741, 0xcffa98dd,
+    0x62ab0697, 0xe80fa1c1, 0xcfaa2e6e, 0x55fe6a1e, 0x04e29e39, 0x03321d57, 0x019af404, 0xb102759a,
+    0x70001071, 0x3f91d83b, 0x6849ff2b, 0x37f0b061, 0xd50c9669, 0x5f4b4ee6, 0xdad21312, 0x3521b97f,
+    0x27272620, 0xb5a04f9d, 0xa06c92be, 0xc1081cb4, 0xd7f0c45f, 0x609e71dd, 0x04a5fff6, 0x734cbaa9,
+    0x51346e1f, 0x4558e0e8, 0xb27d825c, 0xc7641e0f, 0xfff82713, 0x78aab19d, 0xad1a6601, 0x730b0fd6,
+    0x88820c3f, 0x16e67558, 0x51fd4228, 0x3b7c22a0, 0x6bcd64cb, 0x59f45982, 0xcbebcffe, 0x0f9b3f22,
+    0xc23b58a4, 0xa005b8f5, 0x722c002b, 0x0e968106, 0xe78a893d, 0x43b56ce2, 0xfcf4c848, 0x5141e6ba,
+    0x2f0a3bdb, 0x9576b27c, 0x2239896c, 0x0e12d1e7, 0x0f2565a4, 0xbb4be765, 0x4c91dc25, 0x62dffd72,
+    0x3e3d7acb, 0x63d4d08b, 0x84dcbb5e, 0xdbb526c2, 0xfcbebf0f, 0xe3c95d9d, 0x5b8116bf, 0x63addf69,
+    0x342773e3, 0x8919a04d, 0xe1c3fe3d, 0x429c64dd, 0x932c9490, 0x0a8acac4, 0x6f4ac706, 0xc73de245,
+    0xc749ffa2, 0x9f200bd6, 0xb8c98c12, 0x3c1bb568, 0x7960465c, 0x676c0e4a, 0x9db3b132, 0xf96c5a2a,
+    0x7d9a9d83, 0xff46ad31, 0x1bf99653, 0xeb6cdbf0, 0xb29d58cb, 0x59c0c958, 0x17a3e2ea, 0x22af2149,
+    0x78afa73d, 0x33c65296, 0xdfd65440, 0x55015b3c, 0x9fd6c4ca, 0x35ff963f, 0x6a545dac, 0x71b9d2e1,
+    0x987820a8, 0xc8f5a65a, 0x89b15e43, 0xab69d897, 0x16521d41, 0xf01e28a8, 0x511eed62, 0x46018681,
+    0xc2346350, 0x0de3eda7, 0xb8982fa4, 0xdb1c1444, 0xe7419396, 0x3466a840, 0xdf9b4d83, 0x43ba96c9,
+    0xc8bfd946, 0x5131ac5e, 0xe4101793, 0xb8ba8ba3, 0x868035e6, 0x40e279c6, 0x22d00afd, 0x48dafa0e,
+    0x1ed57e59, 0x4e3d0fa4, 0xea37f758, 0xe9bfee7c, 0x44817979, 0xb07f14a7, 0xaa70edd5, 0xc65c1d40,
+    0xbf633804, 0xf1a52025, 0x36bd0464, 0x436b0813, 0xd4aad0e0, 0xf4cbc082, 0x78d9038e, 0xfdc25912,
+    0x5918b8d3, 0x3306f95c, 0x28e7abb5, 0x0b51c643, 0x53324c9a, 0xdb9d90f4, 0xa1438e23, 0x65e76537,
+    0xb1fbe3fb, 0x5c26c77b, 0x4a5b9276, 0xf81f67b0, 0xfd64f860, 0xbd4ed3c4, 0x52fdad2e, 0x37ba3eab,
+    0x8592a552, 0x30b4f98d, 0x81cacfc8, 0xb902fe12, 0x82adf02d, 0xde6a9132, 0x3a38e52d, 0xfa152e75,
+    0x1a4de679, 0xc06ec247, 0x5ebb69b6, 0xe591672d, 0xa5681644, 0x81540203, 0xd30e92d6, 0x9dce3c18,
+    0xf26addd7, 0xac49d822, 0x97c66769, 0xfb70cd5e, 0xfe7e6020, 0x9c156535, 0x14d1b37c, 0x55ba28a9,
+    0xa2f253fe, 0x523358f4, 0xed6bf2aa, 0x399e3e3c, 0x41ab3251, 0x65b6ce57, 0x5b64bda0, 0x719edaa4,
+    0x37edf215, 0x585749b7, 0xdcef14d1, 0x2fb4a17c, 0xa0ac054c, 0x831cb090, 0x933fc184, 0x567f0f07,
+    0x5bcd3a7a, 0x58a0a2eb, 0x6c3ce797, 0x50ded1be, 0x74940af2, 0x1ca13d2e, 0xf97aad1e, 0x5b71a0ce,
+    0x82300b70, 0x6e60e601, 0xa2f31b75, 0xbcb9e908, 0xa3d7352b, 0xda4c0863, 0xf3af43ec, 0xe9579e71,
+    0x98a4219c, 0x294d0175, 0x3af299b7, 0x7c271a10, 0xc3611fd4, 0x3727273b, 0x54fd9f83, 0x2b032d71,
+    0x71acb2e7, 0xe5d149df, 0x175f2a20, 0xed1de3f5, 0x270f3aa3, 0x4e142c6e, 0x9c39cafa, 0x5f16384b,
+    0xb4ed1eef, 0x4fa4dafa, 0xbc13107f, 0x49c1fdfd, 0xbbe6c1fb, 0x409b334b, 0xa506234f, 0x95a0416d,
+    0xe766ec38, 0xc38b9f00, 0x6d4d785a, 0x731309a7, 0x587b59e3, 0x59e07ecd, 0x1aeb1f27, 0xf5d2b726,
+    0xdc6b7517, 0xec7d09aa, 0x68a24396, 0xbd4e4735, 0xe11ca742, 0xafdc3dfa, 0x06f9237f, 0x70e787ea,
+    0xe4c9dc2d, 0x6405fd1d, 0xb13e5e80, 0x6af32a86, 0x8a8e9b9c, 0x438b4f53, 0xb5a55a4b, 0x1b109d85,
+    0xf61d4f35, 0xe674d5e8, 0xb68c903b, 0x8a735ac7, 0x059e32bf, 0x0d6ae072, 0xd98a3325, 0x1d8093c0,
+    0xa852176b, 0x083c97e5, 0x5a0a2b3c, 0xf4566623, 0x307f7bbb, 0xdcec8ec3, 0x592a648a, 0x6d0eefe4,
+    0x6ab8b7d8, 0x2290d2fd, 0xe23be2f7, 0x8787fc12, 0xd372e369, 0x4d9f8538, 0x5e748c51, 0x4e9e936f,
+    0xdfa11fc0, 0xf9cb5d09, 0xebb376f9, 0x8f45276d, 0xa8039ed1, 0xabab5ed2, 0x9f176a32, 0x6ee07a91,
+    0x1198316a, 0xeecb5d07, 0x43356cfc, 0xaf755447, 0x3a5fca2c, 0xf37fcb96, 0xf20d66e7, 0x124dff7a,
+    0xa1f66a05, 0x45a010b0, 0xc78e9a74, 0x48c20e94, 0x4e84e63f, 0xb4bdd33b, 0xb20066b1, 0xa750f1c9,
+    0x26dc79bd, 0x4ba42b35, 0x2c2227b4, 0x0a72f5ad, 0x358b33c1, 0x63340a73, 0xd7b6193c, 0xc7781c49,
+    0xe6f091ae, 0x13a0dd87, 0x5a2090e5, 0xd7115f69, 0x9467a64e, 0x3fecd4cf, 0x395bf238, 0x9352d209,
+    0x390a6d6d, 0x2c7d0d07, 0x264335f6, 0x2b1508d4, 0xf184236d, 0x29c3266e, 0x0b38e61b, 0x91965a80,
+    0xbc383f52, 0x8d6d9494, 0x616ed2da, 0xb837663b, 0x1e0185b4, 0xe56e63c0, 0xcb2d99b3, 0x9c573648,
+    0x91a02d6e, 0x0d7aa267, 0xf3edd5ee, 0x90231066, 0xcd22253d, 0xccf02a5f, 0xe440d24f, 0x5389099b,
+    0x6a2d8afd, 0x466b948c, 0x9605cc43, 0xa2615fbd, 0x3a16ff6a, 0xa8f74c8a, 0x848a5d68, 0x29e12436,
+    0x69392c6d, 0x40273d00, 0x4880a106, 0xc5f0294a, 0x62978dee, 0x465149db, 0x925574ab, 0x4c97b17b,
+    0x8bc17034, 0xa06f245c, 0x98e6534f, 0xd86daceb, 0x9600b71f, 0x0c5213d0, 0x6acba21e, 0x33967df4,
+    0xf8f73e19, 0x52bc118e, 0x2c692b7b, 0x7f769158, 0xaffbeb4c, 0xb083627a, 0xf7ea7f00, 0x36e6f2b2,
+    0xa9bc3266, 0xc354c02d, 0x82157b51, 0xf4c236d9, 0xcc39363b, 0x3ad667bb, 0xf89a2124, 0xccc96dec,
+    0xf409b4bf, 0x2701e335, 0xd023c3bc, 0x10da5be1, 0xa02636e0, 0x89fcbf49, 0x1bd025b6, 0xac8ea993,
+    0xaaa44ae1, 0x6573cc43, 0xc6123a30, 0x6f5ba8a7, 0xd7e8432a, 0xd5b4a793, 0xc3f20e67, 0xd829a47a,
+    0x50871556, 0xea609cef, 0x59de7c60, 0xa906ae68, 0xe27b54bf, 0xb8fdfc66, 0xe1e7e08b, 0x59161569,
+    0x85ff927e, 0xf2063a85, 0xcdac9c20, 0xfeb7d349, 0x1ac71364, 0x9b26b848, 0x1e5147d3, 0xd4bd2ba3,
+    0x41783870, 0xaa04b4ed, 0xbe88b461, 0x0e0bc729, 0xecf54467, 0xb5ec7d30, 0x7f2ba692, 0xde2c34f1,
+    0x130412df, 0xc367695c, 0x9b8a1e3d, 0x831df39e, 0xb61231a5, 0x2ab3a72a, 0xbf467b25, 0x615e7000,
+    0x5151b27b, 0x8476ae34, 0x37bca13c, 0x3d676103, 0x3f69980d, 0x6fb4b41f, 0xe45de9f0, 0xf827cdc6,
+    0xccac98a0, 0x0b3fda3d, 0xe5da794b, 0xf238ec85, 0x512ed442, 0xfe8d918a, 0x7325d21a, 0x69aff45b,
+    0x74562aec, 0x2e06f0f7, 0x7712edcf, 0x76a24fa2, 0x8b79a36c, 0x34d38451, 0xf3179dc8, 0xdf396f74,
+    0x6d0b5897, 0xe88093c7, 0x6a7ca1fb, 0x9ea79c86, 0xbc043a9e, 0xcf75abaf, 0xb964d47d, 0x1eb93ffe,
+    0xa79e5949, 0xf6ed4868, 0xb991baff, 0xd20c8199, 0x00de5ed5, 0x03b43a14, 0xac8ef183, 0xd7e4cd7d,
+    0xeaafa1fc, 0xd4f0190d, 0x78a21f1f, 0xa3489210, 0x1212dec1, 0xb575b9fc, 0x79fdfa1c, 0x80a17ae8,
+    0x647d67e8, 0xac76ff17, 0xa09d7179, 0xf6892681, 0x776f136d, 0xfb3f4ca4, 0x358b39cb, 0xb0196f13,
+    0xa6097b2b, 0x4e9d71dc, 0xed43b7b0, 0xd40da993, 0x12dc7141, 0x746f6ddf, 0x911f3105, 0xc82eb881,
+    0x8e3bbfe4, 0x9553afa4, 0x1fc9cb5c, 0xe738de69, 0xa9c89131, 0x2800ea06, 0x6eaab1ce, 0xd3409afb,
+    0x16ec0e99, 0x180994fe, 0xf0c24295, 0xdb9610a4, 0x5434f1cd, 0x2b888ad8, 0x7bac3571, 0x381db9d7,
+    0x7ea29316, 0xad24c93b, 0xaea33300, 0x76dadcfe, 0xdf81829e, 0x2fd933c0, 0x097b0369, 0x5e002e6c,
+    0x576b4cbc, 0xc9fd8400, 0x5663f5eb, 0xa6c8bc02, 0x48dc43d0, 0x49afc4fa, 0x21ff1352, 0x6d3a0739,
+    0xa7ae2000, 0xd90799a9, 0xa0b49d00, 0x4f2311e2, 0x5dc14f85, 0x081554e9, 0x83a268b6, 0xc2387187,
+    0x31389438, 0x02876f5d, 0x8ffdac22, 0x9f621cd5, 0x3cfd9584, 0xcf77e472, 0x763ee245, 0x4355dca8,
+    0x357d4d08, 0x69ab9d79, 0x67371a4f, 0x9c320ea8, 0x30b0566b, 0x8a0e3cdf, 0xe0186aa4, 0x7702332a,
+    0x5f2aa5b2, 0xc4603846, 0x187cce0c, 0xc510d01c, 0xa0558e09, 0x0410297e, 0x5cedb4bd, 0xac4f0149,
+    0xa399d189, 0xb5e353ca, 0xb6a5cfa7, 0xd50d50a9, 0xdfd449f3, 0x698e8ddf, 0x06514174, 0xb10c2c58,
+    0x400150ab, 0xc4277c11, 0xe4bfc33f, 0xd7c58548, 0x36bbe6f7, 0x846bc6b9, 0xda317137, 0x64ea5340,
+    0x60b85a54, 0x4ac1ad7a, 0x6a663c60, 0x28c45713, 0x45800b41, 0x27da44c6, 0xda52eea0, 0xed47e4c8,
+    0x12d96d0f, 0x64463eb9, 0x72bf4c81, 0xd8e0b901, 0x5009d92b, 0x0921cc8c, 0x532a9cb8, 0xbb09f45d,
+    0x04c7e111, 0xa3395b66, 0x13e0091c, 0x3d97eeb0, 0x9a3a2dd8, 0x4f0a2afb, 0x153b357d, 0xc15828b2,
+    0x6b247d45, 0x6a6f02c8, 0x2895b5b8, 0xb0939889, 0x8f48a089, 0x1c6959e1, 0xe9cebd3d, 0x473f8f1d,
+    0xfd5a9bee, 0xff53a53b, 0xb90f0341, 0x7f53acdb, 0x6ab82d3b, 0xef0ba102, 0x7263dc8b, 0x614cde7d,
+    0x23db6e77, 0x24253eb2, 0xcf8ccca8, 0xde1a1c0a, 0x298a461a, 0x14745401, 0xf8272cda, 0xd80317dd,
+    0x80056505, 0x6b4a9be1, 0xf61074fb, 0xffdb25ea, 0x16b0ce16, 0x84c65acf, 0x86890651, 0x7540cc94,
+    0xf5c14d49, 0x74f7cb28, 0x287221ed, 0xcf1f3930, 0x44d5b802, 0xedff5683, 0xd355105c, 0xa012feb7,
+    0x919e3253, 0x510c523e, 0xaa6309e7, 0xf7ff19dd, 0x950f1e1f, 0x055184c1, 0x11a79758, 0xb453887c,
+    0x8e7dd54b, 0xcdb99d49, 0x8a7837ed, 0x2c048543, 0x8c0b0b51, 0xb22f38b5, 0x6f760c03, 0x2c1ef5ab,
+    0xdc7d7de9, 0xe62125a9, 0x0b6f12e9, 0x6a709c38, 0x4d5e32a4, 0xb72c7928, 0x6e2dfb44, 0xa84036ef,
+    0x999816f5, 0x45d64273, 0x7426f6cf, 0x48a2652e, 0xb1dff55b, 0x945cda32, 0x7f70b90e, 0x1f4e5324,
+    0xf2cc3ab0, 0x6815bf70, 0x3f864aea, 0x7681a2f8, 0xf9cc12b5, 0x426e9fb5, 0x61a5e66d, 0xbf33d611,
+    0xcbc900a3, 0x0dfdb0c3, 0x24345500, 0x65fc9b85, 0x7e4f9b37, 0x37eec4ff, 0x15fad2eb, 0x97e61cfb,
+    0xcce3491a, 0x69d28197, 0xee56dcad, 0x1bc76a83, 0x60de895c, 0x302c0649, 0x82728546, 0x4e3c4bc8,
+    0xb128c21a, 0xe19e2388, 0xa31b3998, 0x9eafb5fa, 0x3770caa3, 0x13b10e85, 0xecf6ae6e, 0x72130371,
+    0xcd493548, 0x204c2b05, 0x246010f3, 0x341e0fd8, 0x639d1eab, 0xf208d280, 0xfa8a1e1a, 0x74e7c455,
+    0xea9e1d59, 0xdf39b1eb, 0xad67069d, 0x9f5e8225, 0x0f355e11, 0x56824bd6, 0xe2829a2a, 0x849b6020,
+    0x4d36829e, 0xad8e2dbd, 0x27279c23, 0x7b641bba, 0xe98ac6cc, 0xa9cf88ac, 0x5f3771f8, 0x7b5f2a1f,
+    0xd0b65302, 0xd2e5360d, 0xd37862ad, 0xfecfad79, 0xe92769fc, 0x2ee0198e, 0x55d36004, 0x4d7389ce,
+    0x9649eec6, 0x74629f23, 0xb2463040, 0xafabfbb7, 0x8a20649a, 0xc3e5ec47, 0x9e1bf455, 0x955f932b,
+    0xa0f377e3, 0xf6b51fa8, 0x5031c4a0, 0x00463678, 0xe86bab70, 0x50bfa7f9, 0x9a76b103, 0xa17f1281,
+    0xa3e46e63, 0x1ccd3c1e, 0x3804291c, 0x6271d734, 0xfb0a4b25, 0x6004b24d, 0x8c1fa73d, 0xf3536c19,
+    0xa533d259, 0x356af035, 0x45715863, 0x014b6580, 0xecc84c6f, 0xf6d8637a, 0x6779296a, 0xcf34021b,
+    0xa5bea204, 0xb2f2c235, 0x2cb3fcb8, 0xefe52b11, 0x88cc342a, 0x6922aa4c, 0x725bdf68, 0x15cb8b23,
+    0xbc806c31, 0xb835a1ba, 0x9da5c40e, 0xba2ead70, 0xa598fb94, 0xdab46f54, 0x0fb990cc, 0xda736b11,
+    0xadc92223, 0x21f71609, 0x1c072957, 0xd97ea53f, 0x42e2fa50, 0x6e55ca10, 0x1992471b, 0xa5399ca7,
+    0xc9720103, 0x85cf2053, 0x192fca38, 0xca83f1b4, 0x635a1c4c, 0xe6df08b6, 0xe88751d9, 0x1dfe541e,
+    0x4ed55ea3, 0xa5ea8b72, 0x7d89a4f4, 0x7fc8e777, 0x6c103294, 0x086f9e8e, 0xe5ca30ad, 0xe85f88ba,
+    0xe57a2977, 0x18ee7a2f, 0x99fcb0de, 0x251f25b4, 0xb8fd4947, 0x8ab3e6bf, 0x88b34574, 0x5c146ec8,
+    0xc4b8ecbf, 0xfce78d82, 0x2ee59af5, 0xdea67d80, 0xa211a0a1, 0x88095003, 0x602f0633, 0x769407f6,
+    0x275bca82, 0x10c08855, 0x78fd6698, 0x4296d677, 0x4230cb52, 0xfe9985f9, 0x5dab8fe5, 0xf51a8ee4,
+    0x63006dc9, 0x1c7fa697, 0x52a4dda0, 0xe3c00882, 0xd96cfc6f, 0x216b51de, 0xbcb2926e, 0xf413e6e6,
+    0x9d5c2575, 0x17b07875, 0x7103fdb3, 0x93e672f4, 0xf4f72ea7, 0xd1684887, 0xc841b3bf, 0x02bd4a62,
+    0x1b14991c, 0xc0e6e585, 0xa257dd9d, 0x6806830d, 0x916986c3, 0x2c93e099, 0x9473c6e5, 0xa812ca38,
+    0x08826699, 0x70822610, 0x455fc283, 0xd1d4c486, 0x23d7b176, 0x96a4cbd0, 0x227b653a, 0xcc33162e,
+    0x00000000,
+    0xad4e91b5, 0x55fe37b3, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000102844034832575377634685573909834406561420991602098741459288064 */
+  { 0x00000000,
+    0x0aee8091, 0x6f091bcd, 0x9c1e2279, 0x4fd3b4e7, 0xa3e9e5de, 0x3cd2cd35, 0x77fb2d7d, 0x53b95470,
+    0x2b9bd81a, 0x676586a2, 0x96a3da11, 0x2cf2542a, 0x8439c208, 0x8b6f0786, 0x1a8acb87, 0xaa599298,
+    0x42e5ecf8, 0xda7d8c0c, 0xdaa4a1ea, 0x3bd6ea80, 0x761155a5, 0x1a08bd46, 0xd67f1578, 0x952fff92,
+    0x8faaf2c4, 0x32ffc2e5, 0x6e765dc9, 0x1846c720, 0x957feb40, 0x674893c0, 0x5e2a8502, 0xea5c6bee,
+    0xb8a20ef9, 0xe2a97bb0, 0xc3f8871c, 0x13fb25fd, 0x4139aa6c, 0x64362fb6, 0x3c6c17b1, 0xbc3c4743,
+    0xc97ab0d2, 0x8a568f5f, 0x96736091, 0xe1d6e64a, 0xd2df7261, 0x47317a49, 0x9b361c75, 0xe8c8dd5e,
+    0x18ba338a, 0xf665218b, 0xa5de3bd0, 0x5f0bfaf6, 0x9261d342, 0x75274389, 0xd88e8159, 0x0a81e177,
+    0xc5aeecb8, 0xde1b7a86, 0x6ace251e, 0x519e6ad1, 0x25c044dc, 0xf20ce2ff, 0xfc416d20, 0x44d36565,
+    0x2faf305f, 0x12b3de91, 0x8e274b0e, 0x1b49af0d, 0x60ca45e8, 0x6fa5a5f3, 0x8183a951, 0x5370494e,
+    0xc14e75ac, 0x61118392, 0x88de4604, 0xc005bda7, 0xceb1fb1e, 0xa28286c9, 0x3013da80, 0x7dfbdf0b,
+    0x5de6b43b, 0x1489db62, 0x9d8f835c, 0xc2d67f19, 0xae120549, 0x3f1c6b35, 0x015b841b, 0x26321722,
+    0x6ba99889, 0x3bbe698f, 0x075e0810, 0x37e0a82d, 0x995affad, 0x771bcaa8, 0x40326b94, 0x2cfcbbf6,
+    0xbbe97e15, 0x8423a48b, 0x73e5a4c2, 0xf94d2e5d, 0x46c7c3a1, 0xe29a3615, 0x44727b3a, 0xaff106a1,
+    0x63e0b3f4, 0xd1202fd1, 0x1de4397b, 0xc3137ab3, 0x89e95ba6, 0x187e11f0, 0xec1a8171, 0xc2249a49,
+    0x06badb8f, 0x9a8602c8, 0xc24e65c3, 0xb0e75f8d, 0x80c8a876, 0xe73e7127, 0x2cb2d642, 0x3195fbc0,
+    0xad8926d8, 0x80def8e4, 0xbcb98b41, 0x9e312b2b, 0x06735838, 0x5c2f3bc0, 0x1767b3f4, 0xec8e285c,
+    0x5053dfbb, 0x52e5fdc9, 0x9ad0cfa4, 0x65a6c4cb, 0x2f826c54, 0x003d6c52, 0xb39f901c, 0xf54524ce,
+    0x34e4d6ff, 0xeaab38bc, 0x79980511, 0x13e1ff21, 0x079f8bf9, 0xdfeae9da, 0x5ee8bba0, 0x296a6801,
+    0xcdc7af86, 0x1c0ae04a, 0x679e1991, 0x1b42ebd4, 0xcc618c70, 0xbe9b0128, 0x0a5277b9, 0x98221a04,
+    0x2a0af32a, 0x6d9f0fee, 0x75dc0127, 0xa35e770b, 0x6160a923, 0xeaa4b0ba, 0x7d70e0f7, 0xd83ade69,
+    0x76771245, 0x1c2c5f9a, 0x00ab922a, 0x5579cbe8, 0xd0ee2035, 0xa27321d1, 0xce845943, 0x99d175d7,
+    0x12b24293, 0x2b1bade2, 0x8083e7b4, 0x75a931fe, 0x47fc9208, 0x87fdba41, 0xececf326, 0x33d62b03,
+    0x23c538c7, 0x7e561def, 0x7735d057, 0x5e77b8d4, 0x6299bd19, 0x46d46619, 0xffa478cb, 0x9d6444ec,
+    0xb942962a, 0x779998e8, 0xe79e88f4, 0x629f4c7a, 0x5393fd64, 0x2809fe2c, 0x722de7d0, 0xc1cedeb1,
+    0x9d6f4175, 0xc716f992, 0xbf5d46cd, 0x2ed825a9, 0x24af1082, 0x4d9f8939, 0x26501ec1, 0x9b8d2cd3,
+    0xfdb4a4de, 0xfaeeacd2, 0x76ee916b, 0x1c555f96, 0x4d0699f1, 0x31409c5b, 0x89565ded, 0xd17fed5b,
+    0x9aa1825f, 0x0dc8275e, 0xbb5c0adb, 0xab282c70, 0xc80686cb, 0x4897899b, 0xe1b1488e, 0xdf890de5,
+    0xaa69397d, 0xfa58722e, 0xe8ea2824, 0x35f73e61, 0x856689f9, 0x622702e5, 0x85089534, 0x52579d4a,
+    0xb1e10e42, 0xd1c328a2, 0xadc9feb9, 0x25ae7a76, 0x8381a176, 0xe16b70a7, 0xcc556b42, 0xcda6e4c9,
+    0x8ecd015d, 0x03eb5ad1, 0x467b409f, 0xdc9d6e86, 0x15999048, 0xd65b3182, 0x3a82f7a2, 0xbeee6a81,
+    0x63bbec89, 0xecf6ed02, 0x1512ba12, 0x1a14406d, 0x0b05f166, 0x7f627032, 0xbd0d4a0d, 0x335cd236,
+    0x1c124348, 0x30f5f374, 0x2cdc27ec, 0x22f05a40, 0xcc5673f9, 0x0ffbff1c, 0x4f7709a3, 0xb639fd7e,
+    0x5758c531, 0xd5dbfe58, 0x6eef20d5, 0x90bed77a, 0xd6651923, 0x4094a3a3, 0xd02e7c94, 0xf4c6082b,
+    0x71e78cd7, 0x6873f5bd, 0x0910b056, 0x2d0a1fed, 0xef583584, 0x2c112bfa, 0x081b6c8d, 0xbff3e2cd,
+    0x53c6888d, 0xcc8dc18a, 0x786fc4cb, 0xbe474576, 0x432452f7, 0xe7eef936, 0x1ce89ce1, 0x35427748,
+    0x879cb3ef, 0x7a8f0288, 0x7865e318, 0x390fed18, 0xe46de207, 0x63b6cf86, 0x3add9e21, 0x8342bf2f,
+    0xcec8afc1, 0xa6d7fa68, 0x26e73c15, 0x6c0d0c90, 0x56d0afc7, 0xc9dcd0d1, 0x4809b78f, 0xfe766788,
+    0x49160443, 0xd44ab11b, 0x2ba88840, 0x86d67e93, 0xcf126195, 0x173f8f38, 0xdc068c64, 0x3b407269,
+    0x4d6121d6, 0x42b23b7a, 0x1a663427, 0xe4eec076, 0x5de7d015, 0x6c187317, 0x277fad78, 0xc57649f2,
+    0xe0c25b2c, 0xe4074d7a, 0x0de7d551, 0x6161b7a2, 0x8fb49129, 0xb159f020, 0xe8b2cc90, 0x2cdf4e7b,
+    0x424822d8, 0xe56ee7fc, 0xe87ed815, 0x91bf44fc, 0xd6d0d210, 0x9c519da2, 0xd3dfb24d, 0x08eab531,
+    0x145a5365, 0x1677cafd, 0x67b72088, 0x4dbfe9a7, 0xd2fcf693, 0x79029cc0, 0x0cc7fed1, 0xe5f2ca34,
+    0x82612a3d, 0xacc89112, 0xf8478a96, 0xb8013768, 0x072de51a, 0xe850e1f5, 0x7c77d5f6, 0xc3d84b58,
+    0x91043705, 0xa471b006, 0xdc2f4b43, 0x676489c5, 0x7bd88c80, 0x841bee13, 0x5d4260af, 0x170f5b08,
+    0xaa08779a, 0xe79bc6a3, 0xba555f7f, 0xfdf4fdf7, 0x8a67194d, 0x433b638e, 0x42df22f7, 0x24384c19,
+    0xdc52c0ed, 0x49a9e57e, 0x7738c9c6, 0xcb6a2c4f, 0x6fc24ee0, 0xe92e9d58, 0xbdc0af37, 0x252e9b59,
+    0x1c0d0ce3, 0x52e4c7a6, 0x0552d9ab, 0x2d002fc9, 0x75517887, 0x8254db8d, 0xcad57f71, 0xc43f4957,
+    0xd5b4228d, 0xad675594, 0xe05da344, 0x636328d5, 0x43d2e957, 0x98699ddd, 0xd87863a4, 0x439f2676,
+    0x29cf2d78, 0xe82658a4, 0x54dea529, 0xc2c596c5, 0x39600f8e, 0xd18d5f7d, 0xa4600035, 0x21e7ff7d,
+    0xa4c9621a, 0xd88353a4, 0x635b9c72, 0x0ecea045, 0xf59c6840, 0x9f3c0185, 0x0147bee7, 0x23e18cef,
+    0x895348f1, 0x1ca2e889, 0x1c31acfc, 0x30f72367, 0x24923fe7, 0xf1794b25, 0x1f9ffa8e, 0x556772ef,
+    0x99a0ac38, 0x6c67b5b5, 0xbf44781e, 0x1afb9daa, 0xd73d5b74, 0x30be9eac, 0xbd0691bc, 0xb0fe4b96,
+    0xc7ce2c4f, 0xcdf753c0, 0xb581dfde, 0xea456c8e, 0x5240bd4d, 0x4bf94bb9, 0xd49aa182, 0xe0597cc4,
+    0xdd76d1e4, 0x1e588543, 0x42a16674, 0x10f73593, 0x2d01c9ab, 0xf6d17a8d, 0x0003a207, 0x5660f182,
+    0x1e445182, 0x30b21389, 0xa966b180, 0xcfbf7742, 0xf3365ea9, 0x4efe218e, 0x48f6f977, 0x845156ed,
+    0xa6c7df8a, 0x3a603798, 0x056344f7, 0x629f730d, 0xf6687594, 0x57f29fb7, 0x8b92c211, 0xe72a71e7,
+    0x101bb0fb, 0x40803de8, 0x4e5978c6, 0x4f937a46, 0x5f26bd0e, 0x58fc2ad4, 0x8b32b004, 0xd6c5ea47,
+    0x59f1871a, 0xefb94479, 0xab1132b9, 0xe8445653, 0x46f19cda, 0xdacfe75b, 0xb1b54123, 0x864971e6,
+    0xf28e047c, 0xddde57df, 0x9add9390, 0x5d7a8dcb, 0xedd6320b, 0xea6a22c2, 0xab42ad7c, 0x070577c4,
+    0x2c21192f, 0xbb351c03, 0x8f1e1a34, 0x7f225d4b, 0x436ff6a2, 0xb925ee83, 0x5577ab64, 0x31448cb6,
+    0x21e5f07c, 0x5a78107f, 0xaf1aa28c, 0x215efa36, 0x752417e6, 0x025b3834, 0x9f955175, 0x2fd1a4fa,
+    0x73b569be, 0xe81f9845, 0x70af7b5a, 0xe4252af7, 0x553783c1, 0x2ffe72d8, 0xd8e540cb, 0xbac824df,
+    0xf8985658, 0xd5b9d354, 0x1fabbee1, 0xaa7a3aea, 0x1baad6c1, 0x12e86198, 0x49dd6e81, 0x5f628b0e,
+    0x5cbce9bd, 0xcb3dda9d, 0x4d2f86ef, 0x955ebd12, 0x6e023c21, 0x99c27785, 0xb254333a, 0x124f77b6,
+    0x8cba746a, 0xe3858d8b, 0xd8d52b5f, 0xaa364912, 0x87f3df0a, 0x239ba047, 0xc93e9a15, 0xdffd923c,
+    0x28fddd80, 0x1ccf1c59, 0xb3f3a706, 0x7a31f31f, 0xeb296b33, 0xf002c96a, 0x06d42059, 0xba4ef2de,
+    0x84e65d59, 0x1cf27bcb, 0x9d314aa5, 0x23f15168, 0x7520a198, 0x24490424, 0x5bbb5d1d, 0x39573c44,
+    0x78738433, 0x29ae1c8c, 0x526bb4b3, 0xa4a7e382, 0x421c28bf, 0x2c47aced, 0xaab8c544, 0x4038a33d,
+    0x30344db4, 0x0806d308, 0xd6f8df58, 0x4c2645f9, 0x959ea418, 0x53f1a1ec, 0xda73b097, 0x8676b093,
+    0xf6a85bbc, 0x9fa6373c, 0x1279a93f, 0xc182a899, 0x2f6a1e83, 0x2ff9a07e, 0xe4d2dc31, 0xbe97fd47,
+    0x7ea5c539, 0x7f5666c5, 0x103293fa, 0x06414b7c, 0x5b416e80, 0xcc993682, 0xb5811579, 0x61b8ab65,
+    0x259289cb, 0x0a78e092, 0x49b57606, 0xf5943877, 0x3a6ac8d4, 0x0d134fc2, 0xa6c37288, 0x9258aed6,
+    0xa2e25221, 0x755ccd32, 0xe1de1c2c, 0x703739a9, 0x0a9e0473, 0x20dfd810, 0x7e4c7806, 0x24ff5533,
+    0x10ca7bc8, 0xc7de66c1, 0x2f60726b, 0xebb9f79b, 0x78f1cc33, 0xe963249c, 0x3755ad2c, 0x3887c6b8,
+    0x07249402, 0x333469c0, 0xaadf29ed, 0x251c7921, 0xdd7e0e30, 0x9ad5ef31, 0x384b8f91, 0x0d9de57f,
+    0x6e3dc684, 0x5e0e1f1f, 0x99e945bd, 0x72fac63e, 0x827ac1a0, 0xa1377951, 0xe3158d2d, 0x5a5d7341,
+    0xe544d843, 0xa4463ae8, 0xa5c80177, 0xad5d3649, 0x77f8843f, 0x606bdc7b, 0x956b1334, 0x475044cc,
+    0xb499c23c, 0x04e6b4bb, 0xc101dff3, 0xfd0e5bc2, 0x495ab0c4, 0xef6a8070, 0x56a3530a, 0x687e28cd,
+    0x94f93a4d, 0xd8faa9a1, 0x81f0772e, 0xe2c0ed06, 0x61bae581, 0x4bb43cff, 0x54d5b59f, 0x8970fc44,
+    0x70901397, 0xc6b23bae, 0x8cb24100, 0xf23354ec, 0xaf81a6af, 0x7dbc7784, 0x3d772293, 0x6e33d424,
+    0xcc431080, 0x7eb488e0, 0xb52b71a2, 0xc730ebe0, 0x88a55c07, 0x61ce3e18, 0x53e84c15, 0xf8489435,
+    0x6c9d25eb, 0xb5d5111a, 0x14ba4d96, 0x062dbdae, 0x216801ab, 0xd51c2704, 0x32cf3b58, 0xcbb5b3c1,
+    0xa6e51854, 0x5b52cc98, 0xb4ca3c34, 0x84d273f9, 0xa1ff432f, 0x4556459d, 0xe457641a, 0xe7965387,
+    0x66df4970, 0x408e4a45, 0x878e2542, 0x9d1de658, 0xd0a674f2, 0x8d42fd23, 0x83ae1a92, 0x1c487e6a,
+    0x5f2d1c6c, 0x1c8f5e2d, 0x6fb0a0d9, 0x922e4ade, 0xe2dbed1f, 0xe66d5b62, 0xd3d48cbf, 0x8266e9cf,
+    0x3ffa1f9d, 0x3cb0577b, 0xe6ef93d1, 0x6611f695, 0x03d53ee7, 0x42e069c8, 0xa48102aa, 0x530dccac,
+    0x9daad905, 0x4f9a877e, 0xcffa1357, 0x479c89a7, 0x9779c8d0, 0xb993b7d1, 0xbf734864, 0xae6bfb0e,
+    0x4e918885, 0xa200e3ad, 0xe8fde734, 0x707a2a34, 0x94f563ee, 0x89435e22, 0xb25960af, 0x2a8c5787,
+    0x1600a561, 0x9826bda7, 0x56ef269e, 0xbb60b1da, 0x2c890730, 0x6f643579, 0xb89cfda1, 0xaa31d08a,
+    0x8b1cffb5, 0xde253a0e, 0xcaa04675, 0x9e22c1ee, 0xa0e8d967, 0x1f303373, 0x2c22d89c, 0x5ea13dbb,
+    0xc6188723, 0x57a40d34, 0x2676ab68, 0x30f40dce, 0xb29da744, 0x0a3cd243, 0x8660e297, 0xec6c75d3,
+    0x70d9faf9, 0x0c8dc0cf, 0x643e60a9, 0x3b28f9b8, 0x21903b78, 0xeaf1572a, 0x9d097214, 0x2ebbc83f,
+    0x0c5140d6, 0xb28485ab, 0x6794a26b, 0xa90b6cba, 0x55dd2f99, 0x621dda8c, 0x0be03804, 0x93a9e47c,
+    0x7919af59, 0xd8d8225d, 0xbcb87a42, 0x22c05d0e, 0x7b3712b0, 0xef2a3874, 0xde3e030d, 0x052eece1,
+    0xa33390a4, 0xaafd0dc2, 0x457463fb, 0xfa453b2b, 0xd2f02927, 0xa3e67981, 0xec2bb0b6, 0xa3b0792d,
+    0xc1fdc05a, 0xceacac6a, 0xfb8299b2, 0x06da0c86, 0x193e8669, 0xf35cd9a1, 0xae87fe51, 0xd1796aef,
+    0xff6c35ac, 0x31425937, 0xeac2d99f, 0x84132341, 0x9dd79d56, 0x7a3240e6, 0x55451d6f, 0xe9e1dc17,
+    0x25af3c46, 0x99372088, 0xa511a779, 0xfb6b2093, 0xf9b08132, 0x84cea859, 0xfd5a62bb, 0x1254e4c4,
+    0x4e48cf6a, 0x0376c9a0, 0xfbd86218, 0xeee56349, 0x36a3918a, 0x2cd7856d, 0xef49d400, 0xdbc4be6b,
+    0xf01598b1, 0xabcf8f5a, 0x03de9d2f, 0xd734fc75, 0x9ec4c276, 0x603c6a6c, 0xcb01c1b4, 0xcfb41e5a,
+    0xdc704825, 0x99fc447a, 0x2049d30e, 0x25cbdeae, 0x5d7093e5, 0xa4209edd, 0xeee19e3e, 0x9519f11f,
+    0x2bfaca21, 0x5028921b, 0x6ae236da, 0xfe4f2a89, 0x28f30c4a, 0x94b8c3b3, 0xc27ce6a2, 0x705bb407,
+    0x9fdc59f1, 0x1529455c, 0xa98cf5e2, 0x41c37abd, 0x932c233e, 0x6f1ec478, 0x5dfa81fe, 0xfbf8d5dd,
+    0xb50aa89b, 0xd17f6528, 0x3942fae9, 0x1f13dde0, 0x1dafd992, 0x91ec28cb, 0x53dc8316, 0xa7b6b585,
+    0xb79a7b8c, 0x03207211, 0xcede42e3, 0x13e61103, 0x05a8b117, 0x0afea22b, 0x8afd7dbb, 0xebdd8a0d,
+    0x72ac3e25, 0x6af0a4b3, 0xeaf71793, 0xc6eff791, 0xb62f4255, 0x49fa8eb9, 0xd83cc033, 0xb5d04f6a,
+    0xa5e49189, 0x8b1297e5, 0x99cd6f73, 0x5f30d571, 0xc91dc56d, 0x5df214c0, 0xa756ee23, 0xbfeef5ca,
+    0xc18bc348, 0x4feddd75, 0x0e334a2b, 0xf04e1776, 0x38a198c5, 0x6830a6c7, 0x5aed5cc4, 0xafe72d18,
+    0xd5940162, 0x7fcdfbb5, 0xefc9f2cb, 0x3c88823b, 0xe3c2eac3, 0x8fe91027, 0xaf5e1f12, 0x4c997999,
+    0x62cc9209, 0xfbcbdb18, 0xb763d87e, 0x31f4ec93, 0xe44b4584, 0x5d2782ea, 0x0a7449bf, 0x45ca5587,
+    0xc4947b0c, 0xead195c7, 0xd316df54, 0x65748728, 0xd8fc232a, 0x9f06c562, 0x151ebfb7, 0xcf9105ce,
+    0xbb0ee93f, 0x75a4f3b4, 0x53461ea9, 0xf467b67c, 0x9b9a3db1, 0x6a81b1a6, 0xe75d0089, 0x6b811875,
+    0x4cbb2e5c, 0xd9b9b1dc, 0x4e85b5f4, 0x9ecc3803, 0xbf2943ba, 0x3ec57346, 0xe7271b89, 0xdb9cef5d,
+    0x83b7665d, 0x8e7cbf53, 0xa1713644, 0x701f147f, 0xbc856dad, 0xf4882ffb, 0xb1e4a0a6, 0x6e54cd69,
+    0xb05f9212, 0xdfe28aa2, 0xa4ad7946, 0xbf5a955e, 0x13c7b4b1, 0x7101d9f9, 0x6eeca09b, 0xe2ebf853,
+    0x968e062f, 0x0c00ba8f, 0x0d25eaaa, 0x7b73c2b6, 0xa7d440e8, 0xf257207f, 0x6a0ec2b3, 0x1c8260d4,
+    0x170ed01a, 0xa9b4f4fb, 0xf6af8d5c, 0x7eb5e50d, 0xe32602b5, 0x340117f5, 0xd65c27cf, 0xdc1328ca,
+    0x09e6916c, 0x4cec0152, 0x8aecb5c4, 0x968dbe9c, 0x60b88100, 0x90848749, 0x6ce208f0, 0x01595ad1,
+    0xced02750, 0xd21814c6, 0xdde9e817, 0xa7b1b366, 0x5030b7c5, 0xf4f51dda, 0x77b7e9e9, 0x78c6ed14,
+    0xca53f71f, 0x7ca765b5, 0x582b9972, 0x43851216, 0x8006ecd2, 0x166f61c7, 0x756d6398, 0x19ee577c,
+    0xc320665b, 0xc4dba347, 0xd7052dbb, 0xcb799947, 0xb48abfdf, 0x8e166581, 0xbd6a4f8a, 0x832b5a00,
+    0x27a1f57a, 0x6b6c45b9, 0xe7624f58, 0x53965413, 0x6f21d417, 0xb38d2902, 0xd3a872a3, 0x6953b799,
+    0x530ee552, 0x2e01855c, 0xa5e04b16, 0xd86fd4d0, 0x7ccf8dc6, 0xa8b06710, 0x553b6a90, 0x39160431,
+    0xe3211903, 0x481c192d, 0x7944f6a6, 0xafecce31, 0x0e341127, 0x0fc06407, 0x2a7c9bc2, 0x524e72e0,
+    0x8bb25a19, 0xd897bd67, 0xddc56b20, 0x6ea2a1c3, 0x44832710, 0xdd6a6b5c, 0xe5220c73, 0xcfddc729,
+    0x0e815cfa, 0x14275a97, 0xe30873d7, 0x55481f60, 0xedc3d11f, 0xa863e8d9, 0x9108f196, 0xa1abccf4,
+    0x00000000,
+    0xd6a748da, 0x2aff1bd9, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000051422017416287688817342786954917203280710495801049370729644032 */
+  { 0x00000000,
+    0xcf055980, 0xf97c38bc, 0xe56cdeea, 0x0c6ce2f3, 0x45235b81, 0xcb154bcc, 0x30cb1d28, 0xfa08b42c,
+    0xf6538c42, 0xd840a196, 0x81d325be, 0xb51173cb, 0x039d4872, 0xe31e9759, 0xa33e568d, 0x3ff7b62b,
+    0xab3ca06a, 0xb750c0fe, 0x9362eead, 0x3a8e334c, 0x44927719, 0x2ea50aee, 0x76177296, 0xc6170041,
+    0xcab6f5c8, 0x10f6ecb9, 0x0ee956b8, 0x9695cad8, 0xb15d73a1, 0x33f6c35e, 0x6ae86b1e, 0xe9c75c7c,
+    0xb18c4994, 0x6e695a23, 0x96e4a661, 0x606cb2dc, 0x1689f4da, 0x71e16bf8, 0x62fb4763, 0x2818fb11,
+    0xc042a7b4, 0x7ccf33b7, 0x0623e4ee, 0x6ed63d10, 0x08a365ce, 0x8025a746, 0xc80e975a, 0xccbafa4c,
+    0x4bdf5830, 0xb9d96285, 0xbb3b612d, 0x07b74d18, 0x633dc209, 0x570bc263, 0xfd22e40b, 0x980b9771,
+    0x07f83342, 0x6f4c6cb2, 0xa3c56243, 0x5fcf3cee, 0x21aa7187, 0xc4caf7bc, 0x212f54e6, 0xe353e4e1,
+    0x7f59e359, 0xc97f12d3, 0xaa527ac6, 0x5aaa77c1, 0xf23b63c5, 0x47e757b3, 0x14704c05, 0xed2e6efe,
+    0x98dbe3bd, 0x27b501c5, 0x37c83bf3, 0x6152cd0b, 0xc170df64, 0xb1c527a8, 0x8a75b741, 0xa7e481a6,
+    0x4ab06e99, 0x5455f56d, 0x8fbeb8ad, 0xec37cf45, 0x4d7aeedf, 0x43436052, 0x398414a7, 0x91477fdd,
+    0xbcbc4b1e, 0xde09fc63, 0x11df9ce9, 0x1647102b, 0xb752482a, 0x955f2eca, 0x5f61091a, 0xcea27128,
+    0x97b57902, 0xe0ab08e1, 0x44b10c67, 0xe90113e7, 0x5d2f43a3, 0x4817bf3f, 0xe375cda2, 0x2b2cf252,
+    0x01bf31a2, 0x9cc16405, 0x628cbb75, 0x13f5873e, 0xadb3a49c, 0x13b4a1c6, 0x6887dc38, 0x0ed03bbd,
+    0x01dcdd50, 0x70e976b0, 0x9d62205a, 0x7f5d0480, 0x7374b6a2, 0xc4374dac, 0x3a831f60, 0x2e4c4a98,
+    0x163c1b29, 0xd0a26b3c, 0xc1ac0ea9, 0x0e9d786c, 0x22797c0c, 0x9f42f643, 0xf8d7189a, 0xcceded7e,
+    0x0a753fb4, 0x55595107, 0x5ea2d0c6, 0x7f512047, 0x5f275014, 0x28f60196, 0x06314390, 0x60941950,
+    0x424bc763, 0x82177956, 0xfa8ec0e2, 0xbeb7a198, 0xf76e08c1, 0x2f52425b, 0x35c2c55f, 0x9fb01ca2,
+    0xbc4bb3d5, 0xbd4e6dc1, 0x87a15edb, 0x611c91fd, 0x9c8c78b3, 0x5bd739cf, 0xabb8b614, 0x3cca26d2,
+    0x96f2eccc, 0xbf2def28, 0x21008884, 0xe070c45f, 0xa2e7514a, 0xb2f596b8, 0xddc7e3e6, 0xb8235bdf,
+    0x3dd32ef7, 0xb54c023d, 0x1fcf236e, 0xc5dc3186, 0xc32badbe, 0x2e7979f8, 0xd574464b, 0x74e395a3,
+    0x376485eb, 0x80316fa3, 0xbaa06cbb, 0x6fa8ce6a, 0x32e6191e, 0xbd29ac22, 0x57f75148, 0x8b3aafbb,
+    0x5ace5265, 0x6c06fd38, 0xe64f7ea2, 0xd82712fa, 0x48710116, 0xc6d45ab9, 0x19802c67, 0x4959b7e1,
+    0xa5019c55, 0xda8ce04a, 0xaccaf27d, 0x4cb5c562, 0xd6676277, 0x3f886966, 0x27bed741, 0xb7744176,
+    0x86d502f6, 0x6e90bea8, 0x9b8c8aad, 0xff0542be, 0x8e55275e, 0xda237fc6, 0xa5385739, 0xc82ffa6e,
+    0x567684e7, 0x2cd3e522, 0xba78498e, 0x9b2b686c, 0x6ee7808f, 0x15fba665, 0x342729ae, 0x70233c2a,
+    0x3f54b2a8, 0x74478a8c, 0x5499411f, 0xdfc69d8e, 0x6e980dde, 0x0a1129c2, 0x6b97053e, 0x92444e67,
+    0x2a2187e1, 0xafac0fde, 0x1047c707, 0xb6cc87ba, 0x1d3ac43f, 0x04154713, 0x9782386a, 0x7a4169a4,
+    0x4ec3d262, 0x01ee7d86, 0xa3f329ca, 0x25d3533d, 0x7f9145f7, 0x16472f86, 0xaaf8c510, 0x22a240d9,
+    0xc5eeb62c, 0x0a991351, 0xa603aff7, 0x51a615fd, 0xc516d660, 0x70459932, 0x1289ced0, 0x65029958,
+    0x4c96bb8d, 0x1194e0de, 0xd4e76d0e, 0x3cb5f2db, 0xd06a6f81, 0x64096782, 0x9316b321, 0xa9285e07,
+    0xb488f579, 0x86120874, 0x259d4eb0, 0x75b76411, 0x4e4e5082, 0x70059794, 0x582456d7, 0xb96b21f8,
+    0xc7cabafb, 0x60a10532, 0x56cf6b03, 0x2dbb2d78, 0x9d835753, 0x559d814a, 0xc797cc83, 0x77556b00,
+    0xea83a242, 0xe2a0519c, 0xe3babd0b, 0xf89d86f5, 0x0cd350a2, 0xcee0902a, 0x489f7e5a, 0x8f4d1b5c,
+    0xf816fae5, 0x8a5688ad, 0xcc7551b4, 0xddd6d72d, 0x7723037d, 0x97d5cd67, 0xff6cfc39, 0xbd7363fa,
+    0x3023ad1b, 0xb0c34d8a, 0x0f209a0f, 0x9d71ee79, 0x9a97c265, 0x2b4efdbc, 0x9fe6c34b, 0x4c8cdf36,
+    0x944f7129, 0xa5dcbe34, 0x8f1e5841, 0xf8daf5cc, 0xe070e95d, 0x13a75abb, 0x89e3f708, 0x2f645b70,
+    0x0adc62e4, 0x902692e8, 0x30e1169f, 0x3e0892c8, 0x7c64a703, 0x23938300, 0xe537db8a, 0xd21e2e51,
+    0x689643e9, 0x90f504a1, 0x39a1a013, 0xae350f8f, 0xf715b128, 0xc9b5343f, 0x798686b0, 0x33f83e08,
+    0xe6171950, 0x5c83dcc0, 0x59a53f32, 0x61349c6e, 0xb2893ea3, 0x89c968f8, 0x33ee7552, 0x8dd428a2,
+    0xbba0bfd9, 0x3ecc8aac, 0x15b11214, 0x39f1c969, 0x8c3d571a, 0x9b996831, 0x951d6bc8, 0x7c854006,
+    0x135ea8dc, 0x9f7372d6, 0x379f854e, 0xaecf8c5a, 0x53a0d48f, 0x39de02de, 0x38a4609c, 0xc3608ca4,
+    0x6d1abec4, 0x4360c2d4, 0x5ddde56a, 0xf902ce9b, 0x3b79464d, 0xd3ce2d95, 0xa732da65, 0xbba96345,
+    0x1592e63f, 0xf2b84b15, 0x13cdd08b, 0xb9ac0f43, 0x7639d231, 0x984f690b, 0x8b02246f, 0xf428e761,
+    0xf5990d65, 0x56d90db7, 0x59762be1, 0x383ed21c, 0x54b2236c, 0x7d55c707, 0x35d015d4, 0xdd37173f,
+    0x8ab80b13, 0x22181747, 0xeb49d07f, 0x2dc9c2be, 0xa3c7936b, 0xef1de389, 0x88f0003d, 0xbea77ebe,
+    0x8f90cfcd, 0x56f6af96, 0x13e6516c, 0x48ad88b8, 0xa417085e, 0xdc88d1b4, 0xdcdb3f61, 0xfcd8bb33,
+    0x07c870fe, 0xcbaf0fe5, 0x4ca3edeb, 0xc925acf8, 0x3bf669ab, 0xfdf88b0d, 0x76c239fc, 0x3c53e013,
+    0x35e533fe, 0xc5ab4557, 0x5d33b508, 0x77a0d292, 0x71584a2e, 0x3fedc5b9, 0x1c237fed, 0x258c7eee,
+    0x69ed53c3, 0xac56730e, 0xda47a545, 0x39299f5b, 0x75a26616, 0x9917019d, 0x14dc3829, 0xaaaedb0c,
+    0xb8c564eb, 0xf4b41f12, 0xa5d82874, 0xe507afc9, 0x3407449d, 0x60b95464, 0xcaa09d9b, 0xb08ce8cf,
+    0x4f50b0ee, 0xd67b2467, 0x1ac57ded, 0xbe248d19, 0xbe810549, 0x71ba6bfe, 0xcd5d311a, 0x0c302e55,
+    0x1fbd712f, 0x861de434, 0x87a2f65c, 0x41072f34, 0xa37d1eab, 0x16f349df, 0x3adcf4a7, 0x1b2adcee,
+    0xa57e0c08, 0xfa62143c, 0x56c0131b, 0xa638d071, 0x13e97169, 0x8bbe5279, 0x3f0f8042, 0xa8892b98,
+    0xb67776b0, 0xcb7718f3, 0xdb7a02be, 0x1b89f623, 0x5595907d, 0x7df0780c, 0xcd938df4, 0x296f3393,
+    0xbe613857, 0xc15ac391, 0x30a70279, 0xf339e640, 0x5f2f43ec, 0x03fddf89, 0xda8be05d, 0x12b67666,
+    0x1756fa44, 0x885f7f9a, 0x56847327, 0x7f40a6ec, 0xb24b1f4a, 0xe78fb8d7, 0x2f42559c, 0x15e93c54,
+    0x2409a7c8, 0x6dfeff1f, 0x6f1ba5db, 0xf0713f32, 0x465f3b83, 0xb41512fc, 0xcaddaf78, 0x34b68ca8,
+    0x5859c933, 0x5f482166, 0x52e76f19, 0x1e0a97a7, 0x0e4e2dfb, 0xb9d1658c, 0xf0665002, 0xd762e88c,
+    0x73511492, 0xfeafca1a, 0x708d345a, 0xc0817a1b, 0xa7ae897c, 0x27f8e0fd, 0x67c7dd56, 0xc31ddca5,
+    0x66f11f32, 0x2131e324, 0xb8bc9f37, 0x261310c1, 0x61e3d781, 0x8bbd6863, 0x1baf1f7d, 0xc61e47e4,
+    0x2eef613f, 0xe4b7aee9, 0x3a379cda, 0xafe39507, 0xd0e68e77, 0x40ff6871, 0x76251e1b, 0xf087f9cc,
+    0xb06c339f, 0x82c4686c, 0x76334ad0, 0x16817432, 0x9b871004, 0x96b150df, 0xf32e6c21, 0xc3e66737,
+    0xbded5dbc, 0x0dcdab78, 0x768e1a88, 0x953b3ec4, 0xe1375969, 0xd11c1122, 0x1b061f3c, 0xaae29a2c,
+    0x25669b18, 0xb71e4728, 0x5a7debbe, 0xf77943ff, 0x530ec66d, 0xffbc7e45, 0x6340cbdd, 0xbb74a89c,
+    0xdb8ef253, 0x7f422f1c, 0x06b3d437, 0x9d417f71, 0x02891673, 0xde2e212f, 0x70f58401, 0x0aedef7e,
+    0xeedf7d1c, 0xee8e44b4, 0xa84fac62, 0x16be9697, 0x5c8e2877, 0x6b47bd4a, 0xd485ec68, 0x6132be0f,
+    0x9612ba1f, 0xf397e08e, 0x7d0688d1, 0x2b5112d6, 0x0891209e, 0x771fa170, 0x90fc0140, 0xc0d084bc,
+    0x401de27a, 0xfe596841, 0x68cf10e3, 0x433e974f, 0x1e30b027, 0xee7289a4, 0x31d0cd02, 0x013a6e55,
+    0x3a9ee7f2, 0x8a95d113, 0x47b33af6, 0x457c76f6, 0x95eefede, 0xcfdea976, 0xf7720d89, 0x98bff314,
+    0x8f5580c0, 0xc8c0b9b1, 0x4e6fd23b, 0x73cf89ff, 0xaa128bfa, 0xcdac6247, 0xfe7026dd, 0xb7f05c4d,
+    0xc4eacf0d, 0x3d609d10, 0xb0c174b7, 0x312d2e5b, 0xde992739, 0xb6b9211f, 0x4cb62b03, 0xc90f898b,
+    0xfa0c2087, 0x6544eb93, 0x4c0e8eb9, 0x37039eec, 0xf5957467, 0x668ea37b, 0xd9930544, 0x8ed7bc8b,
+    0x49661ed7, 0x544ed6a0, 0x3c637959, 0xd98f6518, 0x20dd94b7, 0x8351349a, 0x4eb1a769, 0x6ccf2084,
+    0x9056e6ee, 0x088c263e, 0x8a0d90ed, 0x75deacc3, 0x47c54322, 0x21240960, 0xf00ff750, 0x81aca4d7,
+    0x498212f3, 0x6ed04d22, 0x0fc00942, 0x143435d9, 0xbfe85898, 0x6c014e0c, 0xb1004afe, 0x9fa04c6f,
+    0x821000ab, 0xeecb5828, 0x7e229803, 0x3a21204d, 0x9368c13e, 0x55ae48c9, 0x37f3b126, 0xb057d92f,
+    0x530a127e, 0xff5d2bd5, 0x1515c9ce, 0xe7bc57f8, 0x7e06113e, 0x33c20c1a, 0x980a928a, 0x2c469348,
+    0xf02851e4, 0x21625904, 0x7449b5ba, 0x85ef28a4, 0x1f558e08, 0x066c9382, 0x40bf141c, 0x53f1a9b2,
+    0x0653134d, 0xa5e0cbfc, 0xe00c2709, 0xb280e009, 0xbbf1ccd1, 0xfa2c8723, 0x5a3a44c0, 0x76894321,
+    0x3bb611ed, 0x4780195f, 0x77ca139e, 0xf9773369, 0xc4b8edb8, 0x4e13ef45, 0xc9a72c9e, 0x6f7c49c1,
+    0xcda24fcd, 0x50d128b9, 0x4b736029, 0x3daef01e, 0xb9ff4e63, 0x79fc2871, 0x59718045, 0x6d0972b0,
+    0x1a8ab3aa, 0xd7108d6b, 0x4a22091e, 0x158b4712, 0xd3d3ae08, 0x9818f66b, 0xb7efdb84, 0x7b961bc3,
+    0xfb0db206, 0xfa09eedc, 0x3715551f, 0xa141fdb5, 0xfbedeef6, 0x93619d5f, 0x6fdc5346, 0x753b3748,
+    0x72b2d7f6, 0x54cbb5e6, 0x06111b5b, 0x78ea1c25, 0x6cbce3fc, 0xbea444dd, 0x3493ec74, 0xce198d00,
+    0xa3622138, 0x60fc2a99, 0x933e7e61, 0xb9a1873b, 0x2a64793c, 0xa22a9026, 0x94fd147e, 0x17bddd3c,
+    0x5b2ca9aa, 0x173d1ecd, 0xa1f25999, 0xfb36c4d1, 0xce33cbf6, 0x8ce371c1, 0x2e0ead53, 0x195533fd,
+    0x4b6f43fb, 0x1889db59, 0x82b7935a, 0x0877801f, 0x5ed470d0, 0x36b0024b, 0x4092abcf, 0x4585e53c,
+    0x469c559f, 0x64da4819, 0xfb6e3e9c, 0x6383f568, 0x42a73b44, 0x1a64dd3e, 0x07cd2cf9, 0x3f2a3c47,
+    0x44c97b73, 0xcebd0fe2, 0x5a31936e, 0x363f93bf, 0x344bdcc8, 0xd7f3e779, 0x90476f7a, 0x818fef3a,
+    0xcb7b306d, 0x80d35cc2, 0xb8409703, 0x7e2925b6, 0xa81791da, 0xf5f35850, 0xdefef55e, 0xb2edaf51,
+    0xbaa006a2, 0x01877345, 0x1aa8e155, 0x169b2706, 0x5ccddbc7, 0x8a0b0b03, 0xbcda7087, 0x44ffcfeb,
+    0xcf65b0e3, 0xc39723e9, 0xb018331f, 0xdc4ac6e9, 0x3738864e, 0x65696313, 0xb8a6700b, 0x497b39c5,
+    0x89ccdd78, 0x1d0a9e7e, 0x7b6e5995, 0x9dd6c366, 0x397cfc92, 0xd0d6dc9e, 0xa5a7ed5c, 0x1c33cc42,
+    0x60cc67ce, 0x5bfab17f, 0x136d20d3, 0x22ab52ca, 0xa8a67df2, 0x4930c1ab, 0x671a14fd, 0x295f78e1,
+    0xdfc2c51e, 0x2860e73a, 0xd5cc9f67, 0x06b339a4, 0xc727ce34, 0x380e5686, 0xef9e9595, 0xaa0fdb2d,
+    0x42a9221b, 0xcd76e623, 0xa8781697, 0xb54d2eef, 0x10aa0fe1, 0xee753f58, 0x009355d0, 0x44f81f59,
+    0x07757506, 0x353d907d, 0x2e401583, 0x9b2ba276, 0xfb5a1e1a, 0x42e98f46, 0xb7c0f862, 0xf2ecc79a,
+    0xedc470a4, 0x182b8875, 0xae6ac2f1, 0x84b68a20, 0xd726336a, 0x55c21b21, 0x07c7c19c, 0xe694e6ae,
+    0x778cb1ca, 0x7cd0f9fc, 0x1ce58a6a, 0x727ab1e8, 0xb00536d8, 0x6de764e2, 0x9e5e1827, 0xac7883b5,
+    0x52c7955e, 0x95159b64, 0xf0eec61a, 0xdd0d7fa8, 0xddbb7def, 0xbc4f8f1f, 0xb61ce25b, 0x11be27a4,
+    0xc15460dc, 0xc2448171, 0xe2a28847, 0x2eb4bd5b, 0x9911d48d, 0x7ff8a90d, 0xae67d06e, 0x0b042cfc,
+    0xa543aada, 0x35efc09b, 0x756d863f, 0x12044967, 0x6e588d37, 0x55f2f86a, 0xbb260c09, 0x95db6fb0,
+    0xc8298792, 0x202b84d7, 0x3f521234, 0x52a2c6de, 0x67a8d34a, 0xc6dd2838, 0x7bee88ae, 0xc282c5a1,
+    0xed5619c5, 0xc37ec410, 0xa430c7e5, 0x8f280c76, 0xabc06b10, 0xe8e8e6ad, 0x503284d6, 0x193b8b61,
+    0xf0a1368e, 0x0352eabe, 0xf68a666e, 0xf362bc2a, 0x0ea68cff, 0x4b9ae80c, 0xef07beda, 0xf81e4e19,
+    0x9f339337, 0x3decd54e, 0x72201a25, 0x694bdfc6, 0x3149f647, 0x7a30c88b, 0xf48bfd44, 0xb290d8d3,
+    0x01699ada, 0xed4c5ad6, 0xc327f9c1, 0x63a525f6, 0x1b759600, 0xeb97b200, 0x4f28b28f, 0x14ce2cd1,
+    0xdf738a1f, 0x2c2a7d71, 0x1f2c8384, 0x702e9404, 0x82c5f26d, 0x5c20f586, 0x6cd8d0af, 0x59c378e3,
+    0xa37535f1, 0xe9315667, 0x44d85028, 0x38169bf0, 0x7b0efc29, 0x1c8793e1, 0x18f61c86, 0xa289119f,
+    0x821fcf8d, 0xfb3df999, 0xef00b764, 0xe3d90c1e, 0x3f9259df, 0xd08ac81f, 0x20170239, 0x27ca67cb,
+    0xbb274ef7, 0xff395203, 0x79de1784, 0xab2a2f43, 0xc6aa89d0, 0x02e582c1, 0xf34c5034, 0x06d4ca13,
+    0xf636537d, 0xf3a281d8, 0x33fd1ab5, 0x3eca2bf9, 0x43a8ba14, 0x71128b7d, 0x0dbe0e8e, 0x04e89dcc,
+    0x714800f6, 0x9ffbf7a3, 0x2a6e1132, 0xda0f1f58, 0xfed87e49, 0xe58966b4, 0x29cf430a, 0xe9c81cec,
+    0xd73097d2, 0xdf5cf7a5, 0xd9a9021d, 0xd0b1f634, 0x94f08e88, 0x999624d1, 0x5a07e4e5, 0xf3272a9c,
+    0x3c4a2d1d, 0x837847bc, 0x59085c1f, 0x4aa9f579, 0x1519b684, 0xdab653ed, 0x4f48cd5f, 0x39aba2f8,
+    0x2298ddf0, 0xdf65e67b, 0xec0c18d6, 0xa39233dd, 0x00e74690, 0x335cb38a, 0x8ab1219d, 0xa8fc0103,
+    0x37e3c897, 0x48755c18, 0x1c8de2a0, 0x402ca832, 0x8b30bf52, 0x7273ee40, 0x5b337c5a, 0x66a3042d,
+    0x7c3f25f3, 0x669e1b20, 0x75f07bec, 0x2003b22b, 0x8f8c1f3b, 0x2d654251, 0x5cf63997, 0x5ea532d1,
+    0x0affa3ee, 0x69fe235d, 0xfceec871, 0x415983d0, 0x665ca41e, 0x79d25f61, 0x873bed36, 0x4fc85d88,
+    0x1ec9bf09, 0x86c52a06, 0x650cef1a, 0xbb63e8ad, 0x002efd16, 0xc7fb12ed, 0x7b6726b7, 0x3e1a0aa7,
+    0xeee50d89, 0x742ce93e, 0xc13697ca, 0xda7d90dc, 0x301d53b4, 0x450a76b3, 0x1eaacf37, 0x82de1df0,
+    0x4e1009ef, 0x03e9ae72, 0x773943d9, 0x1e293dd3, 0x101008da, 0x82787576, 0xfa474ecb, 0x5388e041,
+    0xe60d1f77, 0xd519b2fd, 0x621209a1, 0x959d8a8f, 0x590420f4, 0xb4a461b0, 0xb79e1993, 0x45638272,
+    0xb3168fa9, 0x5947d14a, 0xb21765f2, 0xc4bb5106, 0x4936a9d3, 0xcb63cd5f, 0x1b0a4f72, 0x1362eda7,
+    0x41df4ca6, 0x9a6223e5, 0x1aa82ea6, 0xde273128, 0x0e54492e, 0xe9ea3f01, 0x9a8a4607, 0xcb709e86,
+    0x00000000,
+    0xeb53a46c, 0x157f8dec, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000025711008708143844408671393477458601640355247900524685364822016 */
+  { 0x00000000,
+    0xbf357745, 0x760618c4, 0x1b6fb974, 0x7bf01d87, 0x27a47903, 0x3ccb059d, 0x1339a8c6, 0xea379b04,
+    0xad274eca, 0x0c86bfc7, 0x502ccb77, 0xd5dd6478, 0x6b025058, 0x1c1b2e23, 0x07071b76, 0x69300914,
+    0xbb6b1481, 0x3d27ecc1, 0x791c08c1, 0x3724c3df, 0x86c56058, 0x5d79a4a3, 0xbe0dac1b, 0xe60f9d53,
+    0xf46d12a2, 0x554a5876, 0x510b7e97, 0x675f74e5, 0xea163411, 0xa401e2df, 0x73cc024b, 0x7dbabe07,
+    0x5edd5a14, 0x64be7f72, 0xe7f82600, 0xd17dbcad, 0xd48b8444, 0x1c55c88b, 0x30824513, 0x017c44f5,
+    0xfe2cc51f, 0xc9f44425, 0x0a3faf43, 0x88a50381, 0xc574f827, 0xe80f9851, 0xbfeaf483, 0xaf615d11,
+    0x888c9779, 0xd05c1e4c, 0x1bb8e15b, 0xe3caba76, 0x256ab890, 0xba5fad4d, 0xa60ea3ab, 0xf24f39ad,
+    0x2915d366, 0x752da6a4, 0x5478b2c0, 0x57a1ae45, 0x0daf08f8, 0x47fa1eec, 0xd5888faa, 0x2bc71c2f,
+    0x1aa85144, 0x68a62ea5, 0x42adb993, 0xd7b73c0a, 0xa66d0603, 0xbc53b2e0, 0x677bad95, 0x25a18fb6,
+    0x4cf3bc6b, 0xddcac8c7, 0xdaf5031c, 0xd25599ca, 0xe70da1b9, 0x1f902ed0, 0x33e849b0, 0x998a34aa,
+    0x7bea1b03, 0xbeff204c, 0x31246ae5, 0x46c521a0, 0xa95f0620, 0xb9555e12, 0xf85957b1, 0x3e08bc47,
+    0xaf0c947e, 0xbfa91ad1, 0x73ea383f, 0x3ca858a1, 0xadfd1232, 0x5ec47605, 0x827b3c55, 0x7e75605e,
+    0x6e1711ad, 0xb00af7ec, 0x6d52e985, 0x32279872, 0xe7c8f4f5, 0x5b61ccd4, 0x12feab33, 0xac646b10,
+    0x60f4af2c, 0x01025052, 0x5ab86ffd, 0x29e2e8c0, 0x02857acf, 0xe2b8792e, 0xc01fdf43, 0x8c4636cf,
+    0xda5decb1, 0x78fc34d5, 0xa61f52f7, 0xd25b6685, 0x36c8efab, 0xbbc3cb85, 0x8c8b4e5c, 0xc885a66b,
+    0xbda1ae53, 0xbf8bea8d, 0x82de25bf, 0xc6c546b1, 0x5dac84fb, 0xa798dfe3, 0x8de657ac, 0x10874bfb,
+    0x6c54c2d4, 0x4788f4d2, 0x0da7ddf7, 0xa518051b, 0xc0c79a3e, 0xb1d42878, 0x96a518ca, 0xb600edeb,
+    0xaba5d0f2, 0x8e958133, 0xf037c955, 0xb9ac8d87, 0x9e12e43f, 0x6712e66f, 0x16062110, 0x91c03c6c,
+    0xb6d20ec8, 0x4f6eee4e, 0x3622b266, 0x27e94a63, 0x91bc74e5, 0xdf12fbe0, 0x247aca47, 0xeb809cdf,
+    0xb37c2fcd, 0xe47b8c14, 0xc69e2cf2, 0x5d5830fe, 0x8a5c118a, 0xce341f42, 0x223af749, 0xb828c679,
+    0x2d6f385d, 0xa27014d7, 0x778e021a, 0x1740206a, 0xfe1c4c76, 0x88701afd, 0x5c7b1fde, 0xa9c744c1,
+    0x88a485be, 0x2acf1e2b, 0xebec6113, 0x1273ea97, 0x82461797, 0xac45bae1, 0xa57cc51f, 0xe07fccf7,
+    0x690edb76, 0x1e9f101f, 0xc47cd3b9, 0x9686216e, 0x2165a28c, 0xf3949802, 0x988b4fec, 0x5d636c24,
+    0xf20b6426, 0x2e0a18c5, 0xa3ce8311, 0x73ca52f7, 0x8b8801c0, 0x3a7afb03, 0x0c05842b, 0xbfab9a33,
+    0x8026c05b, 0x87b7343b, 0x06483f3f, 0x0a705a19, 0x1856189f, 0x4114fdfc, 0x79a9b707, 0xe4442abd,
+    0x30d70712, 0xb32b917d, 0x9ae81cfb, 0xad9210d5, 0x495a3272, 0x4cf84db9, 0xaf3a4cbd, 0x1dd16a19,
+    0x504f145a, 0x18fe0ca3, 0xb7aa2d38, 0xcfe57e84, 0x1b3f4aed, 0x836cc8e7, 0x7bc46111, 0x6b08f391,
+    0xcd84766f, 0xfdc900da, 0xa58f64f5, 0x91f168d6, 0x6ab26adc, 0x47cffa9e, 0x94bafd28, 0xd735f5fe,
+    0xd26d7c95, 0x46688ef7, 0xd6782459, 0x82064641, 0x3765777b, 0x60e81a89, 0x940d6f78, 0x9bebe182,
+    0xaece8ff6, 0x7b5fb78a, 0x41e55d06, 0xb5e53ecc, 0xf3ec7a80, 0x3c7063a8, 0xdb946b21, 0xeb559247,
+    0x8000e2b2, 0x80081dcf, 0xe4ba3ee3, 0x140241f6, 0x8c6c1625, 0x82772437, 0xffc0c4d4, 0x3009ac18,
+    0xe4826ddb, 0x8adf7f36, 0xff6506bc, 0xa497e77f, 0x318894d1, 0xf6246ef9, 0xc5df1a11, 0x6dc309e9,
+    0xc3e7f045, 0x8e8270d0, 0x74916ad8, 0x3db9db1d, 0x904179d4, 0x96d21364, 0x5168725e, 0x37389e3d,
+    0x9469ece4, 0x5e93e8c9, 0x8bbee577, 0xa6cae470, 0x5dd0dfd8, 0x7e81f7b3, 0xb2975ebc, 0x8ae7521d,
+    0xff26db3e, 0x87d149de, 0xf66d6883, 0x758bad9f, 0x765f603a, 0x495f0349, 0x8b9ff5b8, 0x556bdb59,
+    0x45f12b7b, 0xf976a087, 0xae69c3c5, 0x3259bdcf, 0x0b22a233, 0x66b692ac, 0xb9852df9, 0x1005e2e6,
+    0x967349fe, 0x956a5d00, 0x7e7832ca, 0x8c4fa022, 0x3dd7e96c, 0x31b6498a, 0xf3f13b9d, 0x5619053f,
+    0x6e631a58, 0x95a3a692, 0x2ee22957, 0x7ff51e6a, 0xe45670a4, 0xdb0c43c0, 0x5086eb65, 0x4ec9ed53,
+    0x7ac32b18, 0x8fb3ff3b, 0xe55bae8c, 0x6fd3cc9b, 0x65f6565b, 0xc7096542, 0x946c9661, 0xa23cefd4,
+    0xfe9348f6, 0xb3be331e, 0x1db11fc8, 0xa9974d47, 0x5c1840eb, 0x1d007dba, 0x250b025a, 0x65bc6425,
+    0x32ae2ac9, 0x02330a0a, 0xc82611b6, 0xd443c08b, 0x52f35390, 0x74e49543, 0x2b7e935a, 0xcd07ea7d,
+    0x6ae2c259, 0x26cf4484, 0xc818aa8c, 0xd18e6363, 0x80f22716, 0xe03b601b, 0x157615d4, 0xb4574716,
+    0x3f8768ef, 0x66cf06a6, 0x8b798da0, 0x892c8217, 0xd045eab2, 0x412135ac, 0x5d633ef9, 0x72ca520b,
+    0x8b2aeb12, 0x10804fbf, 0x263bfc4b, 0x9b35577e, 0xc5cbf613, 0xa0b54d7c, 0x3998a91a, 0x2b2e8a70,
+    0x76394537, 0x17b80315, 0x00709038, 0x1617d5b2, 0x779574b2, 0xcfd58bc5, 0x256e18e3, 0x994ec856,
+    0xa9b7b09e, 0xb0fd4084, 0x28f7386b, 0x3c5465bc, 0xbc6edb14, 0x72823f85, 0x852cdf50, 0xc2c71ea9,
+    0x802a086f, 0x2de142da, 0xd4762f8d, 0x3489ddfd, 0xdbcdf04b, 0x9f1d632c, 0xa9ddc4dc, 0xad10f8e6,
+    0xd698cfd1, 0x64301f5d, 0x9cdc3045, 0xde7fbd42, 0x7fc5bd74, 0xb8fd6c6b, 0x227e6553, 0xed549433,
+    0xcc2e5272, 0x0d44f3c4, 0xddafb724, 0xfa646e85, 0x3bad7107, 0x60dda8c9, 0xe2f57e7e, 0x151cce35,
+    0x54db98e5, 0x3edcd27e, 0xe6417283, 0x1724486a, 0x4bfec80f, 0xa857b98f, 0x78938354, 0xa5ebcca8,
+    0xce138963, 0x298de4cd, 0x60d270dc, 0x185a9838, 0x3feb7200, 0xcb79ab90, 0x19c0e1c0, 0xe8d89962,
+    0x3b0cab37, 0xcb75a429, 0xfa8e70cf, 0x5e45cd03, 0xd05fdc24, 0x9ba3924e, 0x38e68636, 0x593e07c6,
+    0xe4921dda, 0x16ea8a8d, 0x691ff19f, 0x22f775d0, 0x4944536e, 0x8222b136, 0xd6e6bf26, 0x767067e1,
+    0x832a5f6a, 0x9199d59d, 0x9b19e23d, 0x74b85cde, 0x6bcc8dcf, 0xd54c1445, 0xf092544f, 0x8c9c6f77,
+    0xef99ae6e, 0x0c7d2487, 0x956f0be6, 0xd7fc9185, 0x505efb5d, 0x6412cf6e, 0xa1e69c97, 0x5423730a,
+    0x12a90684, 0x832c3b3e, 0xb09199f0, 0x6ca8051c, 0x276e0f35, 0x349489b1, 0x02275993, 0x75e18277,
+    0x9cd5146f, 0x55deb8c1, 0xd6a0b65b, 0xdaf6bdf4, 0xc584a621, 0xbc1d741e, 0x46b38e68, 0xc5765d32,
+    0xc818a615, 0x5de2a0ef, 0x2c68317b, 0x2b34b295, 0x168cc89e, 0x3676fcf3, 0x7c3e0653, 0x96bb2898,
+    0xc41a1e9e, 0xe252086e, 0x6870dbdc, 0x530e407f, 0x0e59b49c, 0xecb69182, 0xc4a50f33, 0xa02a451e,
+    0xdeb13ccf, 0x9735f9bc, 0x663878af, 0x45e3c0da, 0xc881fa9b, 0xd500ff31, 0x84ed8a05, 0xa76dd78f,
+    0x224af4fe, 0x1ad78bac, 0xab22bd66, 0x7fb8b558, 0xf5b9fed0, 0x696a475f, 0xc215c139, 0x5e325fab,
+    0xe83db283, 0xc54b650c, 0x493f75d6, 0x208be477, 0x26eab04b, 0x67e06b87, 0x1ee75037, 0xc881d8e8,
+    0x6a910403, 0xdc9c5e1f, 0xbf5e346d, 0x4fe7e973, 0x511d6920, 0x7617e4d8, 0xf638a4f3, 0x96420b18,
+    0xf89aef7b, 0xa46bcc27, 0x224f719d, 0x7855bd29, 0x36fe75c7, 0x4a1e2de2, 0xf0e78992, 0x8814d905,
+    0xea946159, 0x93df2de2, 0x5cfd79eb, 0xb1a2639c, 0x45885371, 0x52cfc093, 0x9694bcd2, 0xb61482ee,
+    0xded6f43c, 0x902509e7, 0x2ca58469, 0xc3140087, 0xcaa23ce1, 0x597de3ba, 0xe888c42d, 0xbf743a3c,
+    0x07d8a228, 0x44a152be, 0xec26bb08, 0x70497bcd, 0x3a81c6d6, 0xdb415bd4, 0xf6b0c0af, 0x3d481db2,
+    0xeefbbaa4, 0xe1f3555d, 0x082bfade, 0xaf5e258c, 0xb89f6451, 0x88ea3e46, 0x64402517, 0x3d4059bc,
+    0x83cae347, 0x9fb15365, 0x8fd4fe06, 0xa04f5638, 0x5781f4df, 0x1b9648ff, 0xf9b6effa, 0x13f87f7e,
+    0xa974ce4c, 0x12c29968, 0x31afc99f, 0x19dbbffc, 0xb4d624e5, 0x149cc28c, 0xede1c320, 0xb1b00674,
+    0x6f08b37f, 0x62690829, 0xed76fb7a, 0xe7e81f19, 0xeb9fb298, 0x0a1ab59d, 0x1f09154f, 0xf530fff2,
+    0x9364c2df, 0x6eade471, 0x4076c0aa, 0x1b829f43, 0x79dd3ac0, 0xb5dcf6ef, 0x5ca5a1ff, 0x2250b8e5,
+    0xfe230aca, 0xaef1cced, 0xd423722c, 0x59a29084, 0xa4528671, 0x484bdb33, 0x4db7b101, 0x039438f0,
+    0xb6448bf3, 0xec02fb77, 0x4b124bfb, 0xaf9251d7, 0x901394eb, 0xdbaaee36, 0x64a7a09d, 0xda2d871d,
+    0xc0f930ce, 0x8341609d, 0x7c449ac6, 0xba9c29da, 0xc7952be1, 0x8c629f8b, 0xf64a8603, 0xc83821e1,
+    0x57f3b846, 0x6a2b16ea, 0x65c57423, 0x7d22332c, 0xf402b4bc, 0xf1b20b8f, 0x9770d60d, 0x951c98c8,
+    0x99acbf96, 0xd1e109bc, 0xfafe3dd6, 0x5269887e, 0xd0e495e3, 0x4d39e930, 0xd09b817a, 0x6c772f90,
+    0x7ae3d8c2, 0xa8ea27be, 0x7293a708, 0x9d486b63, 0x0524898a, 0x66b7a91a, 0xd2e806bd, 0xc0eaaf7b,
+    0xbf9e977d, 0xf944dd6f, 0xa15547f5, 0x6d1c4161, 0x0aea3971, 0x649c9313, 0x6230f41f, 0xb6c515c4,
+    0xb98376af, 0x6a9ce417, 0x0429ac29, 0xad7a2f0c, 0x41493033, 0xe879c881, 0x3ca47ae0, 0x5c5bf95c,
+    0x614ffd64, 0x4463db65, 0xf360f14a, 0xd54182d6, 0x03753a2d, 0x657baacb, 0xcdb0e9e5, 0x9088f09e,
+    0xa87b55c2, 0xb1d42a90, 0x55a8577b, 0xa91b9942, 0x04abd331, 0x8442eeb5, 0xed376d1b, 0xda502706,
+    0xd3530acb, 0x7b0b872b, 0xf3661121, 0xde4289c5, 0x428c58b4, 0x99b63b54, 0x47016930, 0x79f43911,
+    0x58d022a1, 0x1ddfc166, 0x38923a2c, 0xbf31775d, 0xe59c3fb5, 0x84271a31, 0x1341d2c5, 0x54615b61,
+    0x15b759de, 0x3991d9e6, 0x7b8f4628, 0xa602e193, 0xa01a0679, 0x696d66c2, 0xff305cab, 0x7e0c6c83,
+    0xf659b3f6, 0xc76fc536, 0x8c7fcb1d, 0xb55b608d, 0x224fd4db, 0x6d0be41e, 0x16830f9b, 0x1c586dcf,
+    0xdb990c79, 0x96c72755, 0x519879f5, 0x3898e237, 0xc50e6bdb, 0xab9251de, 0xa24c23f2, 0xb9f68292,
+    0x927ae66d, 0x90d9828b, 0x55cb8298, 0xbf0e061b, 0xac9d6ec1, 0x62dfa3d5, 0xe41f1f38, 0x719fb7ef,
+    0xe73a98ac, 0xc5933490, 0x697cb9e4, 0x9b7650b0, 0x513f500c, 0x59ad17c2, 0x7fd29536, 0xe32e4a66,
+    0x85925426, 0x9fdcecae, 0x76bbedf0, 0x7df871cd, 0xaa3b73a0, 0xedc4e21a, 0xc0cdaeb6, 0x04353e25,
+    0x262fc9fe, 0xe9ed7a46, 0x1f35b779, 0x7fe26116, 0x889fda63, 0x858966b6, 0x9d8bda44, 0x012271da,
+    0xd3681161, 0x9e389cc2, 0x1f4745fa, 0xe8769957, 0x060665e9, 0xbcd745a3, 0x666d144b, 0x4df0141d,
+    0x05e8ef88, 0xa8b31bcb, 0x5a465856, 0xcb28640e, 0x795d7e2f, 0x03217be7, 0xdc6a9d7b, 0x49e3f214,
+    0x6dbddd44, 0x38ff7fc3, 0x4b9bf1cc, 0x2512adad, 0x2c1b4ec8, 0x1d51521c, 0x43c3d1fc, 0x0ef4c55c,
+    0xf72e243c, 0x2100e7e8, 0x90202738, 0x1804d200, 0x90dcd8bc, 0x7ef9d93b, 0xbda4b889, 0x2e78c3db,
+    0x47059eb9, 0x3702c146, 0x7051c5db, 0x2fe31157, 0xd2d64324, 0xbe4fd6e4, 0x3f5eec5a, 0x6547b1fc,
+    0x44464046, 0xa8a76262, 0xfbf6f697, 0x2db21c8e, 0x153f1725, 0xea301479, 0x4bee21cc, 0xb9d31a25,
+    0xd3c6c71f, 0x47eeeeb0, 0x258a56aa, 0x3e80e93f, 0xe4118b06, 0xf928c0a7, 0x67e05eed, 0x34bc99a2,
+    0x5cd67c71, 0xf5fa2bc6, 0xbf4ec0a4, 0x6a75f048, 0x0555e4cc, 0x54df689f, 0x58466a22, 0x872e3370,
+    0xd51c8292, 0xfa2fed57, 0x94513f87, 0x60fa8ce4, 0xff150086, 0x611c7c63, 0xee7cc469, 0xb498a995,
+    0x26f4a055, 0x932be116, 0x1147dcba, 0x36c42261, 0xf75db02f, 0xd95fcfef, 0x4b58568d, 0x1ec87ded,
+    0xefc4e947, 0xb7c7979c, 0xcad0ecb3, 0xd7f64954, 0xca98c958, 0xa7a4a1db, 0x6fd00c8c, 0xf22b1225,
+    0xefa8cf47, 0x11667b22, 0x9ef62bd8, 0xbe72ae9f, 0x61a9af9c, 0xe07984eb, 0xc1bae82c, 0x2008b4b4,
+    0xccbf2526, 0xe2ecbeb1, 0xe74386f7, 0x55353ed0, 0x560a92d1, 0xc89322ca, 0xf09dac33, 0x2985f4da,
+    0x9ccf3d95, 0x2487172f, 0x83cd3d6f, 0xc26a0dbb, 0x013f87bd, 0xf2eff994, 0xab58dfbd, 0xb041bcef,
+    0x62647e24, 0xd6026231, 0xcef3c257, 0xf6a0ab5a, 0x879acb3f, 0xc241ddde, 0x9923a47d, 0xb32f498a,
+    0xa6d92437, 0xdeba0808, 0xffa222a4, 0x57ad4c06, 0xe4645b9c, 0x4cb79f14, 0x57a3c424, 0xed591d55,
+    0xe08103af, 0xad84d43f, 0xbf48cda6, 0xe2962a23, 0xff8f9e53, 0x594664ff, 0x0f85aecf, 0xba8b8641,
+    0xb226a429, 0x38b4dde3, 0x9ef6d4b3, 0x09626f3a, 0xa83781c4, 0xf4d5b0e2, 0x1bcb7242, 0xe3a21002,
+    0xa4025722, 0x15e3a519, 0xb5e74e15, 0xa09d6aee, 0xa361270a, 0x79d7fad0, 0x9d29f326, 0x18fa77e8,
+    0x4e5992cc, 0x33365622, 0xa6f71b2e, 0x510380c4, 0x12ce23f2, 0x8c6dd07c, 0xfdb1695d, 0xd51dfe0e,
+    0xf1ae0ea0, 0x2f99d837, 0x9de4cfdb, 0x3d3c340d, 0x846e236d, 0x5bb6b9ba, 0x83087c0e, 0xed2372f0,
+    0xc2c04fc2, 0x7b1b69a5, 0x8b7e677c, 0x08972798, 0xa8ecb64d, 0xe5c9d730, 0xafec6d7c, 0x3c7df9a6,
+    0xd846ba53, 0x61594e0b, 0x6c69e95f, 0x0ef2400e, 0xd7b6d631, 0x4183bfdb, 0x7e12b507, 0x39f46c8a,
+    0x4261e0b8, 0x18d5e128, 0xfdcaca5b, 0x22da9d28, 0x04f7b97d, 0x36bea5e2, 0xce24614b, 0x4b5441e9,
+    0x495ac818, 0x858548d2, 0x72f50f2b, 0xb09ce0f7, 0xbb508eba, 0xfbb31090, 0xacccd83a, 0xed851464,
+    0x960e3fd5, 0xbd1b7b29, 0x3a3a41c9, 0xf268ec6c, 0x364211a9, 0xf7f90b2d, 0xde02fc20, 0xe06f3beb,
+    0x2b461abe, 0x313697ba, 0x6b6e0850, 0x98ace17a, 0x63c64697, 0x2e8d6b30, 0x3f846105, 0xe449ff27,
+    0x295b14fe, 0x56f73295, 0x876ea39b, 0x7ca80052, 0x31a7a4e9, 0x559af143, 0x629145c1, 0x0364a395,
+    0x1e76b4e1, 0x2faae63e, 0xac571dea, 0x72626fdd, 0x55641704, 0xc12aa778, 0xbf8a00df, 0xf0c19c32,
+    0x1fa4d3bf, 0x1d8398ac, 0x4d49676d, 0x86ce022e, 0xcc02f553, 0x663f0865, 0x9a0cd555, 0xb5fcb404,
+    0x5063ff8b, 0x21942cec, 0x93197054, 0x57ca6acc, 0x31257fd5, 0xb64f8bb6, 0x835bf077, 0x21bb2bdf,
+    0xe9ba9f96, 0x01c9eceb, 0xa3746afd, 0x70f18168, 0x3e70054d, 0x31d27aa7, 0x57311684, 0xfc3742a7,
+    0x1228146a, 0xfa003c00, 0xcfb1cf71, 0x467eb719, 0xb271cd3c, 0x61f92605, 0x8f9a043b, 0xfb2c0b0b,
+    0xfefd6367, 0xaa698d14, 0xf352ce33, 0xb861f14e, 0xe62ec65d, 0x50ada731, 0x573dd714, 0x51f49b4d,
+    0x3323595c, 0x7494ad74, 0x1787a5e4, 0xf252755f, 0x880fdf84, 0xd7afee75, 0x7103db52, 0xe436379a,
+    0x00000000,
+    0x75a9d235, 0x8abfc6f6, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000012855504354071922204335696738729300820177623950262342682411008 */
+  { 0x00000000,
+    0xa7701d7d, 0xf04b6f86, 0x5afe7068, 0xea49c314, 0x52b89397, 0x03dcda00, 0x4cb526b2, 0x00542450,
+    0xc5643b19, 0x14e7d40a, 0xd58e1b99, 0x70eaaaf1, 0xcee73935, 0x2aaefbbb, 0x775b23a8, 0xfe0e24bb,
+    0xab8af2ab, 0x079359ba, 0x7df89674, 0xfca94217, 0xd3acb364, 0x2c16c7f6, 0x1a183601, 0x4a63414e,
+    0x8a632279, 0x79e2bd54, 0x76643e94, 0x83ce1a8b, 0x4704ab49, 0x4ae28870, 0x6575daea, 0x081007aa,
+    0xc76ec4be, 0xd0ab9936, 0x1acb820b, 0x634074f4, 0x162b697a, 0x11469b73, 0x6e32f91d, 0x7da2e5d5,
+    0xdc34b14b, 0xaa46b9d4, 0x26654653, 0xb97f02d6, 0x4c06907a, 0x4ee913bc, 0x87a88031, 0x0c25b496,
+    0xba8a7a61, 0xc7b9b06d, 0xb95192f9, 0x2d4c38d5, 0x1626b84e, 0x1ecbc8d0, 0x24d7ba82, 0xb8b38680,
+    0x8641f4e1, 0xc5fbf22d, 0x762b49e5, 0xac6c5c5b, 0x4f6ea0d4, 0x1f8fbf06, 0xaef53daf, 0x1f52daee,
+    0x87e5d3b5, 0x6932aed2, 0x78e60c52, 0x0409eff4, 0x22b00684, 0xce34be6b, 0x4ebf0de5, 0x484038c3,
+    0x84f1f85e, 0xa369f6a1, 0xbe6e99c3, 0x7c0df3d5, 0xf7c2c0c8, 0x9b4476ba, 0x5c78e873, 0x33f0dd2d,
+    0x84ff35f0, 0xd2a1073f, 0x5432d5d1, 0x876a5729, 0xa6a0e15a, 0xd839c0a9, 0x789ddf0c, 0x2fb46859,
+    0x40cb634d, 0x60326350, 0x441a0a1d, 0x1268171e, 0x8ebf1650, 0x3c8d4bb5, 0xab4b4f72, 0xa676f196,
+    0x4e7095b3, 0x1852dc82, 0xd38b2f5b, 0x12a77ae6, 0x527e0cfc, 0xea4e96b8, 0xbc85acf4, 0xe6c86ca7,
+    0xba39d404, 0xf3827cc2, 0x291372ff, 0xe578633b, 0xd8362087, 0xb39e50e9, 0x6c50bf18, 0x472e5b53,
+    0x4a28d141, 0x438f5b1e, 0xf20ae6ec, 0xf7b593d0, 0xd098ed53, 0x97f4572e, 0x0c0d5254, 0xf5e769d8,
+    0x7e197ace, 0xa970af24, 0xc68f6038, 0x65177a72, 0xdb25f923, 0x5ab523f4, 0x03543ee0, 0x3893d716,
+    0xd690c740, 0xf56e01d2, 0x950758a6, 0x22886a50, 0x1a0d57c1, 0xb097b0ca, 0x7df5633e, 0xf50c4dbf,
+    0x949f2eea, 0x9b4791af, 0xac620c0e, 0x5752432d, 0x9bae143d, 0x07d56d1c, 0x4659ce9e, 0x8c2bd6cb,
+    0x0cca2eb6, 0xa0f6c542, 0x28ec50bc, 0xcc2898fa, 0x807ea048, 0x8168a394, 0x48745e23, 0xf7b553c3,
+    0x121d678f, 0x570d507f, 0x456c2dde, 0xce8c0975, 0x46757b09, 0x7f38a765, 0x86d19bc6, 0xb0eb9b0d,
+    0x2f550126, 0x5d07dd00, 0x15de36ac, 0x77e31f79, 0x54ac57ed, 0xfdcda340, 0x64571a91, 0xd7913952,
+    0x4b76d889, 0x71800c9c, 0xf0432021, 0x9b4fb6a0, 0x15f30418, 0x94eb9b46, 0x2ccd7aa6, 0x3ab2714c,
+    0x595aba0d, 0xb54c5cc3, 0x7da1dd3b, 0x80d16b41, 0x029edf86, 0x66c703a9, 0xf548fe5f, 0x65af0d80,
+    0x357b8fcf, 0x763434eb, 0x336b1e6b, 0xed2132d3, 0x35f55b71, 0xdaa15744, 0xab5fe7e5, 0x5a582b9c,
+    0x229ddf31, 0x0ac7709d, 0xd067fe1b, 0xc90514e4, 0x03e5a255, 0x0960c188, 0xfdc703cc, 0xde5e1eee,
+    0x0db4e29b, 0x6e2d1b51, 0x480a9859, 0x2bed01b0, 0x19927fa2, 0x8329120a, 0xf6957983, 0x5543500a,
+    0x5397fef3, 0xf35e8749, 0xdb2f54d1, 0xc85c1394, 0x782c51bf, 0xde0f47dd, 0x0be17d09, 0xe179dc1d,
+    0x273d4fa3, 0x71d0edac, 0x4facf7f7, 0xb14ba8ee, 0x440b625f, 0x03fb5bdb, 0xe0dca264, 0x8d475f9f,
+    0xd99e38db, 0xc8170da8, 0xbf67a501, 0x185e5557, 0xdbefd8ac, 0xfbb3a67b, 0x0671db9b, 0x5acfa909,
+    0x49bf0d34, 0x3ebec180, 0x9ccceadd, 0x6d67b55b, 0xe3c57281, 0xb5e101c2, 0x6589374f, 0xf7737357,
+    0x6b05472e, 0xb1ed0328, 0xd666286e, 0x17dcb3c3, 0xaa3c94dc, 0x26c306bc, 0x5dfffa64, 0x713a3b39,
+    0xb09c952a, 0xd7f93fb9, 0xdea57acd, 0xbdcdbf69, 0xa3ee740f, 0xa9a4817f, 0x8209bbca, 0x407e0189,
+    0xfad30f9f, 0xb8263ad1, 0x48d25274, 0x41b0c942, 0xa7e15732, 0x940c733a, 0x56e19798, 0x7294bbe9,
+    0xee010f7f, 0x75aa85a3, 0xb4af5d4d, 0x3bb30871, 0xa63af951, 0x5972d084, 0x8d2b3512, 0x67b57c51,
+    0x1390b0ab, 0xf36d9d21, 0x40289222, 0xc6cbff3e, 0x627db7b8, 0x1161f0f9, 0xbaad9570, 0x14ed1650,
+    0xa3dce6bb, 0x3bd0df4c, 0x655b32e5, 0xf0e4c06d, 0xd538db58, 0xb9f06463, 0xcab84029, 0xb4d2cbec,
+    0xb5647631, 0x910d8e52, 0x3c4d206e, 0x54a7f920, 0xc797ea66, 0x75828ef8, 0xb7771d7a, 0x796ca704,
+    0xea45de73, 0xed467f4f, 0xc30e90f1, 0x2ad0c027, 0xb38bd0f9, 0x66ee13be, 0x92c081ea, 0x667ce18f,
+    0xaf3f75dc, 0x2df8b03a, 0x51767522, 0xec80261e, 0x17ca9c58, 0x00e50362, 0x0f133ab1, 0x5d5377d1,
+    0x05852b9d, 0xb3c894c2, 0x2ff6a797, 0x9a93a6a6, 0x40f41a8e, 0xf3c583d0, 0xa43e4b6e, 0x98525f03,
+    0xdbd04bbb, 0x427797d9, 0xe9dbe502, 0x0abab547, 0xd5c2e5ed, 0xad0d5c1c, 0xe2c46e58, 0x86a1c364,
+    0xab49bdb5, 0xf8246ab4, 0x58c77fe0, 0xd806d376, 0xc28e0d26, 0x29a34779, 0x2c128ee0, 0xa45472dd,
+    0x6fa180d7, 0x532ae82e, 0xb1595424, 0x529c4abd, 0xc29f02e3, 0x904e9b63, 0x47de3de4, 0x96c621b4,
+    0x524d0178, 0xd6174b84, 0xcfcd5594, 0x86d53750, 0xfa552c8b, 0x8d03d287, 0xd6bad321, 0x2c4af1a8,
+    0x3a57cc06, 0x5150042b, 0x7a0de130, 0x324537b7, 0x7d633b9c, 0x3b48d180, 0xcc4665e0, 0x55ca1e2c,
+    0x08235920, 0x6b56a179, 0xcda8823a, 0x5440683d, 0xb9f09dbf, 0x144c029a, 0xf11a600c, 0x31d07b45,
+    0x7044a7fc, 0xd803f020, 0xbb330beb, 0x8b648f1a, 0x449206b2, 0x957d0732, 0x65dfefc7, 0x65c8c8a3,
+    0x0fbd3967, 0x2071d336, 0xdcb1ecce, 0x3fc287bb, 0x49ebcc5a, 0x4051d579, 0xdc8c3803, 0x8bd21385,
+    0x5c09f6ea, 0xe5d3413a, 0xdd237229, 0xafaed8fe, 0xdf4b9f25, 0xb6ad4b84, 0x34d5a3e4, 0x1d8f4777,
+    0xe6043bb5, 0x5b719a27, 0xe696622f, 0xbfd42dbf, 0x1ab9500a, 0x7b4f17ab, 0xdfe72cc8, 0x86176b10,
+    0x685db941, 0x3ae5f11e, 0x67db9292, 0x0d808b22, 0xf937ad8f, 0xeaa54e05, 0xf3440d54, 0x1c3329a2,
+    0xea5f4dbf, 0xe799f2dc, 0xb62104f8, 0x2f8998eb, 0x783aeb63, 0xce027f2d, 0x8a1fa0ae, 0x460dc11f,
+    0xc28b45ec, 0xc189a1a6, 0x8ce4a4cf, 0x33bc68d2, 0x8bfb4527, 0xc6d35532, 0xbcf933ef, 0xe1a1845c,
+    0x5105fc79, 0x6642bb81, 0x81f5899b, 0x76f5b558, 0x5762e201, 0x07493ff6, 0x7ffe5f9f, 0xffaa84b5,
+    0x95bbe5b4, 0x98e697d9, 0xb4bd4b10, 0x49d38888, 0xa6c2fc4b, 0x39dddcb6, 0xa8628ddc, 0x1c23e080,
+    0x69586413, 0xc9331276, 0x5737f47c, 0x45a87a1d, 0x00cf03c0, 0x3319323c, 0xa8a6462d, 0x8efd4209,
+    0x1b6c2faa, 0xa915701a, 0x7cef8715, 0xfa146775, 0x638d1bd3, 0x70e8851a, 0xa497e8da, 0xb80e1af8,
+    0x29e439ae, 0x533ab298, 0x699c8d6a, 0xa3e4e4fd, 0xaf4296b4, 0x250892e8, 0x900716d3, 0x4e2cd939,
+    0x9071fe2f, 0x46aa7091, 0xdb222f9c, 0x0f4ea586, 0xeba54b55, 0xd0142338, 0x5dfc7c82, 0x91eb58d4,
+    0x75e2b177, 0xfc1e293b, 0xd7ca6c5c, 0xc2a183c8, 0x75964a1d, 0xf6317b5c, 0x31603700, 0x77bff199,
+    0xe7f9cf0c, 0x8dd8d04f, 0xeaabc1c7, 0xa0ed9d68, 0xcf4a1949, 0xb101a00e, 0x1883e3a7, 0xc3974a77,
+    0xfb871434, 0x6f558673, 0x8ee505fd, 0x231e447c, 0xe3c32717, 0xed175a3f, 0x64f9a696, 0xafec0922,
+    0x90d25851, 0xd5b865bf, 0xd14723fd, 0xeb92d1f4, 0x5aba5443, 0xa6730433, 0xb00f3ba5, 0x35e6b7a4,
+    0xa40fda26, 0xde28de5d, 0xc3d4cbc8, 0x05877b2d, 0x3751c8a6, 0x0ad1c752, 0xe1190106, 0x14cc9796,
+    0x0b312b44, 0xbeff701a, 0x53083665, 0xb5a8de22, 0x0068e144, 0x2f005fea, 0x9d691ae6, 0xbf3d7184,
+    0xa27b90f9, 0x3e1d8c0f, 0xda12c88f, 0xa5654e3e, 0x5ce0e6d5, 0x0500ff02, 0x2deffea1, 0x537b7c6f,
+    0xacd36bb2, 0x04b8fcda, 0x57a34b4c, 0x790a6509, 0xa18f7bd0, 0x79eec721, 0x769f3344, 0x6d1a87db,
+    0xb02bbf00, 0x032d668f, 0x0125c16b, 0xb0aea163, 0x86033936, 0x3fa63a17, 0x4c439e8a, 0x7d3e9a4a,
+    0x8f4892fb, 0x6ae32c43, 0x1a6842cf, 0xf6e3f62b, 0xe86b5507, 0xb2bfad6c, 0x5b558ab0, 0x54ade405,
+    0x2162f8c8, 0xc19c0e5b, 0x151d5944, 0x7a4e4765, 0x556c9ee5, 0xe7e055a5, 0xb01a1628, 0xb7a38901,
+    0x3607a910, 0x03669706, 0x21c4bddb, 0x83f9fd2b, 0x1378a579, 0x7f1b9096, 0xdb215654, 0x4535758d,
+    0xad1fd403, 0x8599d139, 0x5ecd8edb, 0x95f82c80, 0x630e8496, 0x055ec136, 0x8caf2213, 0x92892a67,
+    0x1ed41095, 0xe2f02493, 0xedba86a5, 0xb8b3d5c0, 0x17088fcd, 0x85bdd862, 0xa626567e, 0xb92e2476,
+    0x5079da31, 0xd6c866db, 0x87535d8c, 0x66b95aea, 0x48260b81, 0xcf173a95, 0x0ff390ce, 0x92e2b875,
+    0x5cac0fe5, 0x14ae7253, 0x109cd551, 0x3a923eaa, 0xe93c5938, 0x1af33116, 0xfb68b739, 0xb8b65069,
+    0x245578f0, 0x9719a815, 0x0b23cd5e, 0x80be699f, 0xc5499bc6, 0x336ee768, 0x1943176a, 0x3af1f209,
+    0x782ed86d, 0x3d872be9, 0x42394be7, 0xc71b9049, 0x49807e65, 0x389a38d1, 0x10b2a7bb, 0xc675b94d,
+    0xe06ec9e2, 0x5da24ece, 0xbe35e01a, 0x833956a5, 0x717b7f70, 0x8fff5a52, 0x4caa5343, 0xd7000f71,
+    0xb94a8564, 0xb8bcf67c, 0x15f55b44, 0x48778c72, 0x00c21152, 0xb8feaf2f, 0x346fd218, 0x64993060,
+    0xd9962064, 0x901650f4, 0x6ccdbf77, 0xfd47e1d3, 0xebdeca13, 0x65937080, 0xbe40d711, 0x4ebdd02d,
+    0x89ab7256, 0x1c4d658b, 0x4b89c9cc, 0x310ac57f, 0xa08f5dd2, 0xbb7e4189, 0x595250d4, 0x479c437a,
+    0x332f89ee, 0x9393791d, 0xe9c62664, 0xb04ca164, 0xb71c1902, 0x7738dfe7, 0xeafd57ed, 0xd88306e5,
+    0x79f7809a, 0xe9fad6e2, 0x8172b7b3, 0x14c880a9, 0xaee79f60, 0xfbc29edb, 0x4fea9e84, 0xb3e60c86,
+    0xae2593b1, 0xc0ec0c8e, 0xf5dbcb12, 0x52fc340c, 0x537b5c2b, 0xca88eae4, 0xbf11fb70, 0xe7e32d65,
+    0x18a8ba68, 0x74a67d65, 0xc41ffe53, 0x2dc3f67d, 0xfdca9901, 0x70b0bb5d, 0x2ddd6be4, 0x1ce4943e,
+    0x790c9175, 0x209887d9, 0x080cee51, 0x284ea544, 0x3c75c7ee, 0x6471c383, 0x03cb30c2, 0x0e1a5114,
+    0x9c449b0b, 0xff673550, 0x5ae09280, 0x41d7f029, 0x48464197, 0xc8b65413, 0x00a4ccfb, 0x44543a10,
+    0x553a77b6, 0x0ecbc883, 0x22f8cc14, 0xa2f6e248, 0x4faf3abf, 0x35999aa2, 0xc61b4dca, 0xfaf13ec1,
+    0x0a850b65, 0x40313e28, 0x4df5c8e1, 0x510e3be1, 0xed41eca5, 0xf22e0e98, 0xf6a5c768, 0x093cd1d8,
+    0x51aaaba1, 0x357ac5cf, 0xd0c4698c, 0x2331e9f2, 0x0c2af2ad, 0x0db80b9d, 0xdd973e67, 0xec2e0367,
+    0x25b00d49, 0xea9ef52a, 0xd3162d49, 0x35df7aac, 0x3daf20c6, 0x62e07133, 0x8576ed15, 0x3dd3a3ab,
+    0x836e28be, 0x40e12c34, 0xe3f8ab63, 0x4b310599, 0xa1a35cd5, 0x9183e1d8, 0xa03c60b9, 0xe167ca3c,
+    0x2c8d1835, 0xab4081d6, 0x57150803, 0xd48ff057, 0x34a339b2, 0xdbcc80c1, 0x28b09108, 0x31f13e42,
+    0xb3fb560e, 0xa481ab34, 0x2a81bcd9, 0x055dbe91, 0xbbbfdea9, 0x66e5621c, 0x62612e49, 0x101c4ae5,
+    0xab2e67cd, 0x6995b16f, 0xbbea6ab7, 0x4a8fc25d, 0xa4253dff, 0x8699ef76, 0xb42bbbe5, 0xbc4a72f5,
+    0x29aa9168, 0x1a697043, 0xe0d08ce0, 0x20d65926, 0x669a69af, 0xb311e3d1, 0x9a64a28f, 0x05fc01ee,
+    0xf02e48a9, 0x66914693, 0x688a9477, 0x2bd33016, 0x348f9c0b, 0x55f42a1d, 0xf583088d, 0x4f014cf1,
+    0x332801e5, 0xcb38168b, 0xd420cd17, 0x046d7312, 0x23405f87, 0xc1be4ad6, 0x19c2e780, 0x4f031859,
+    0x3ab6a2a0, 0x2e610fc9, 0xbb753387, 0xef795ef8, 0x8be68705, 0x63ce3310, 0x81026735, 0x68b64bbd,
+    0x0998a57c, 0xeb337c4c, 0xf15d1693, 0x59daa0d6, 0xcb93fe2b, 0x6504e37a, 0x679306d6, 0xb155df66,
+    0x64c71db9, 0xaad81fa1, 0xc5a3a9fa, 0x565f07a5, 0x4d67454a, 0xead1ac7b, 0xc07376f8, 0xd18919a0,
+    0x1ce3d169, 0x29a31983, 0x4d9ad9d4, 0x7e2376b3, 0x0947cafe, 0x5cf5d240, 0x40d5f036, 0xf550f14a,
+    0x03f38b26, 0xd9384748, 0xcefde78e, 0x45763457, 0x8452bdac, 0x79aaa52b, 0x9fd8a017, 0x9d47e2ff,
+    0x053fc771, 0xf4745350, 0xf03f3c28, 0x29d09855, 0x0f515a66, 0xf3867412, 0x93762054, 0xc96609f3,
+    0x3078bd47, 0x90277f87, 0x701d3a1b, 0x8820e6b7, 0xe26834fc, 0xd2318a06, 0x74e96b9f, 0xf6b64902,
+    0x56fb5aec, 0xd29104d8, 0xd4922148, 0xbcd65aab, 0x26b1476e, 0x22119b0c, 0x9b69b134, 0x8cb4975e,
+    0x6c83d743, 0xa0fd08c8, 0xa3a1a37f, 0x9e2a59d2, 0xcbabf8b8, 0x1feecc82, 0x1c776897, 0x7632939d,
+    0x394483f8, 0x7ca36d5c, 0x19927953, 0x54443a17, 0x7935c418, 0x29798932, 0x006d3d03, 0x57c7a837,
+    0xe898ebb9, 0xbd7cd6cc, 0x15a585cd, 0x205cc7e1, 0xb30f1ba4, 0x0efc1518, 0x94a1f5ed, 0x0eae6696,
+    0xff4a19bd, 0xf47a45d5, 0xcb4193a4, 0xa96d43fa, 0x47fc4fc6, 0x6e55c691, 0xd575fcc2, 0xb326a1be,
+    0x2e7c9b6b, 0x95c5792b, 0xa49ce4d8, 0x14403891, 0xd49fc37d, 0x6cb0d468, 0x1c943cf7, 0xfc26c313,
+    0x31bdd38f, 0x5660105b, 0xa099c00e, 0x1dfae4f2, 0xe207cc32, 0x8a59b3b0, 0xc5a41ecf, 0x05ca7fb5,
+    0x7716c386, 0xc6a5537f, 0xebda3d00, 0x46a7b6b3, 0x6705f60a, 0x7d7dfc55, 0x3be95ec0, 0x43369ee8,
+    0x9dab02f0, 0xc15cf8a8, 0xfc8ae9b6, 0x654a5955, 0x55659ae4, 0x7cd1a310, 0xbe046fe0, 0xd67489a2,
+    0x43299620, 0x458eafd8, 0x5c439085, 0x51456db2, 0xe7be618c, 0x8fea6dd8, 0xf7bb3f9e, 0x6316867e,
+    0xf85427b6, 0xe1c61a93, 0x80cfb566, 0x483cf0fd, 0xde7258fb, 0xa1dff516, 0xe88798db, 0x4b8907c7,
+    0xbe43ecdd, 0x516139cf, 0xe179f852, 0xe5dea932, 0x0b5becb6, 0x70538e85, 0xc28bca3c, 0x3a0b9be8,
+    0x954fa40e, 0x70cfa72a, 0xb0a1b793, 0x3501895b, 0xc5660392, 0x15ebca8a, 0x4f1270a2, 0xc603afdd,
+    0x8e71cf41, 0xce71a597, 0xb4efcb8d, 0x669ad722, 0xf4dccf33, 0x9b3a9d66, 0x0127ffdb, 0x37bc0d0b,
+    0x84659cb9, 0xf7aba305, 0xd58902c5, 0xa72f2e4a, 0xfacef6c1, 0x10e05a64, 0x7e2c9c6b, 0x62bdc288,
+    0xccb1c82b, 0x471508f4, 0xe5431cf2, 0x61d3dd19, 0x0d4839ad, 0xbc1aec72, 0xbe73e864, 0x46f82f12,
+    0x2a0ba9c9, 0x7a4dad19, 0x83cdd314, 0xe0850885, 0x2a32af07, 0x1d8f26a4, 0x19724806, 0x2f3894cd,
+    0x93a326e7, 0xebda0394, 0xed9c2102, 0x337ccac4, 0xee4e8bf1, 0xf3bd4bed, 0x6bb42876, 0xe8f3b81c,
+    0x83f2a019, 0x5d1c6b22, 0x89f0561a, 0xfb867edc, 0x33587bff, 0x14c8b11e, 0x6061297d, 0x28a7c065,
+    0x28251150, 0x7d9286dc, 0x23084678, 0x56394c65, 0x914f7756, 0x1145e2ba, 0xdf75cc5b, 0x4c1796e3,
+    0xc6471dd6, 0x1f9ca83d, 0x66a2874c, 0xe6cb6180, 0x5a83276a, 0x35e0b95d, 0xf60948ce, 0xaae99e92,
+    0x00000000,
+    0x3ad4e91a, 0xc55fe37b, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000006427752177035961102167848369364650410088811975131171341205504 */
+  { 0x00000000,
+    0xe368f781, 0xa4be60b6, 0xc0bee1d2, 0x72bf8d27, 0x0046a7da, 0x0d672ea9, 0x44def91d, 0x3c79d2de,
+    0xd35d475f, 0x116611a8, 0x1b406293, 0xd0229e3c, 0xdeea313c, 0x89c7c632, 0xef5a212b, 0x668c343a,
+    0xb1effb07, 0xe59a1b6a, 0x3eed8877, 0xc887a760, 0xae1d5f26, 0x1c547dfb, 0xee59e044, 0x8a55c076,
+    0xd2ce49db, 0xe32ca270, 0x2042007a, 0x9302e97e, 0xcce70518, 0xa17e8d4b, 0xd924d4a0, 0x65870915,
+    0xffa87250, 0x4f84f8af, 0x09d31a02, 0xeeaacf48, 0x7608abf1, 0x902c673c, 0x8f27843a, 0xf3637556,
+    0x3bced4a3, 0x3b09ab91, 0xfa98037b, 0x88f2cf93, 0xdf27d1cc, 0x013dc152, 0x87eff608, 0x46861139,
+    0xaa13e433, 0xfc6284ee, 0x2bafd710, 0x4fd317f5, 0xb766b625, 0x325c7831, 0xcb2a143f, 0x2817fa86,
+    0x44679df8, 0x6575e8cc, 0xa6e01662, 0xb5356e68, 0xefedaccc, 0xcf5ecdaf, 0x9eb930e2, 0x8e82b7bd,
+    0x87a70946, 0x4ed7e0e7, 0x0c542b4f, 0x3084fca8, 0xf1b261b1, 0xa943acb5, 0x770f8241, 0xde085d9b,
+    0xb9c4396c, 0x1f5011a8, 0xcaec98da, 0xa2ccab7c, 0xb6bddcfb, 0x407aaa76, 0x545b3a96, 0x51072d59,
+    0x99307ebb, 0x42091492, 0xb4e131bf, 0x28e082af, 0xada724a7, 0x376ba643, 0x47ee2f01, 0x390e58e8,
+    0x1a3c660e, 0x784d7dfa, 0x675f6287, 0xc120c374, 0xc5eba650, 0x689119a3, 0xffb758ad, 0xf8c23af7,
+    0xf6b563ef, 0x11f03b00, 0x7d11607e, 0x6644b997, 0x18af2720, 0xbd249c08, 0x0e6724c5, 0x5d50b880,
+    0x9b9f0ab9, 0x5abb81d7, 0xb94cd706, 0x93803f97, 0x2082fa05, 0x3fc0e4d6, 0x07667a86, 0x568af979,
+    0xfde10905, 0x25ac61e8, 0x903b9d52, 0x991165e5, 0xce357fff, 0x24cbb432, 0x024cc1a4, 0xdee8b033,
+    0xc455f026, 0x148be5ff, 0xd88f9caa, 0x56008400, 0x5ffb3b21, 0xd2725549, 0x5f71439b, 0xf0716fee,
+    0xe192fdb1, 0x72141fdd, 0xc3080cd5, 0x049f85dd, 0x26ea3399, 0x8aa1a4e8, 0x7de22882, 0xcfa1a814,
+    0x0e3986db, 0xf5b4f9c4, 0x8c229e54, 0x09b3d239, 0xdf4dd934, 0x722910fd, 0xe39e9e63, 0xcde6063f,
+    0x134897de, 0xfd63a53d, 0x282f13b0, 0x88698630, 0x8319f672, 0x9b5e328f, 0x2cdc2756, 0x7fb9e1b5,
+    0x7e0effd2, 0xc3135346, 0x399881b2, 0x904d4774, 0x38aa478c, 0x5f7b578f, 0xc578e470, 0xf0c078ff,
+    0x20e6d604, 0x92fbeacb, 0x0144e2cd, 0x55491c77, 0xf9a48418, 0x7d7f0753, 0x76e1a1ab, 0x3d98b746,
+    0x61ca0b8f, 0x9165b7a2, 0xddfc05a9, 0x4e0d596a, 0xf391ecf4, 0xd91a2ae5, 0x5ed3c268, 0x3cbde1f8,
+    0xb46589b3, 0xf416c652, 0xe4622213, 0xdc99e7b8, 0xd24ebbb2, 0xc69a0ed4, 0x262f8d12, 0x594972c6,
+    0x0aa08bf3, 0x1fca9aaa, 0x8a106109, 0x42518c99, 0xd7cd81d7, 0x963269e1, 0x47f875a7, 0x2a6687c7,
+    0x1b392226, 0x1df19461, 0xc60baffb, 0x63cfa159, 0x36913983, 0x4ec40228, 0x1af66564, 0x14d073a4,
+    0x468a5cfb, 0xf4c51a89, 0x753caed5, 0xec0d7d96, 0x9e13cca6, 0x16cdf0ed, 0x1f3bc2c3, 0x5a5b7482,
+    0x2578d150, 0xe22ade05, 0xbf101479, 0x7ddb3ff9, 0xfa04c002, 0x6b710c9b, 0x89141563, 0xb0b28f97,
+    0x792b0057, 0xd21d6cb9, 0x1ecae244, 0x55f8a397, 0xe5fd53e4, 0x47f5d909, 0xce69669f, 0x19c64cc4,
+    0x7fd1b980, 0x19bdbcdc, 0x704c02d6, 0xb75d46da, 0xf3af6b69, 0x73dfb1a8, 0xf77511cc, 0x5ff90da4,
+    0xe47f4b06, 0xb5090814, 0xde763c69, 0x1feb66dd, 0x751fd876, 0xafaf6655, 0x01cf6de6, 0xde9a1eaa,
+    0x70afdee9, 0x15f906cd, 0x8f7d5749, 0x7f734689, 0xcde85607, 0x7064272f, 0x83327b33, 0x56ce14d0,
+    0x3114b1b1, 0x014f2ceb, 0x3fde149c, 0x9e993841, 0x9a6061c9, 0xe8a1a3f5, 0x28bb34e7, 0xf1690031,
+    0xe10972bb, 0xb61b2662, 0xce4bd3ee, 0x6fdc5a1e, 0xb3a01ba0, 0x069448cf, 0x48a62f09, 0xaf4ab4e8,
+    0x24d05cfd, 0x98b162ad, 0x0c4fb7ed, 0xfa9b0e81, 0x91b9a091, 0x37258e97, 0xb83a2250, 0x1222182a,
+    0xedfebc9a, 0xf303c33c, 0x62298946, 0x14e3c822, 0x3d827b94, 0x9c02bcc4, 0xf6bdbb29, 0xf1baa437,
+    0xe9b4837b, 0xaa1f528a, 0x0689dc64, 0x60030a3b, 0x71cac439, 0x4471de5d, 0xd62e9096, 0x63a943cd,
+    0x67891a3a, 0xcab9edcf, 0x452361b6, 0x79eac1e9, 0x3a23121c, 0x2447a26b, 0x8e9dbb30, 0x268e9bad,
+    0xe358565e, 0xb8307893, 0x968f4e43, 0x42587ef5, 0xfbae295a, 0xc9a1ca29, 0xe86a5649, 0x1c1d39d8,
+    0x62fa1fc0, 0xc3956270, 0x8d1fb2fb, 0x5d1ae2bb, 0xbd54c7ce, 0x9e7ef52d, 0xb3bd4ebd, 0xef426735,
+    0x6d2200fe, 0x4831c14f, 0xddd74219, 0x2d79e72c, 0xb247e46d, 0xf22bed04, 0xa010df4e, 0x3af2b1d9,
+    0x68025d43, 0x374638f9, 0x00f8b62b, 0x9ebb8806, 0x3d5f58be, 0x24c44b98, 0x586f7246, 0x89b575a3,
+    0xba401c45, 0x34aed4d5, 0xf04e7557, 0xc566bf8d, 0x06868fbb, 0x6bae765d, 0x68b8ff0a, 0xe77b6cf8,
+    0x191eafd5, 0x0c69b237, 0xaece69cc, 0xf4935b93, 0x8a9d0f6a, 0x1308e8db, 0xdcf059e9, 0x1cd3d61e,
+    0xf5521c7e, 0xf331975f, 0xc6fddae4, 0xebeca6ea, 0x22fdf3a7, 0x9063ecfa, 0xa24d127c, 0x8e5ec3ee,
+    0x19da0878, 0x926db2fd, 0x601b11dd, 0x322d4724, 0x40fd6c8f, 0xb2705b64, 0xa31b8b09, 0x79963442,
+    0x7efdfaab, 0x75f18d9c, 0x6b721d3c, 0xdde73391, 0x25ba54f4, 0xdbc813fe, 0x7db4f854, 0xf05213a0,
+    0x5ad5c40c, 0x8b609d03, 0x441bb13b, 0xba85f339, 0x2a8d05b3, 0x192436e8, 0x6e2622e8, 0xcda434d3,
+    0xb268712c, 0x7fca7a15, 0x7c62e2d7, 0x07934c21, 0xdf99c134, 0x805b6105, 0x9824e668, 0x02da683e,
+    0xa8291232, 0xeca8fd7a, 0x5d3ba210, 0xface62a4, 0xdfa8f7cf, 0xfc32a274, 0x880deb1a, 0xf573e36a,
+    0x503b0e5b, 0x907bf1d4, 0x557e431a, 0x88fede3f, 0x84b6d93e, 0x89c59cc7, 0x41f434d3, 0x6e956de3,
+    0x8515acba, 0x18cf503e, 0xa55049e0, 0x4bc37fad, 0x0b9817cb, 0x06a9e00b, 0x8b7f9682, 0xc31c7065,
+    0xd40247d8, 0x12feee82, 0xb945b5eb, 0x126b852e, 0x37f1ef75, 0x148e2539, 0x30b65dee, 0x673e457f,
+    0xb840b8e6, 0x13161424, 0x2c77bb42, 0x7c63b703, 0xcc1bd964, 0x30225fe1, 0x977fa7bd, 0x10c43359,
+    0x81dd225d, 0x0045a6a2, 0x30649f1e, 0xa5deeb8b, 0x23d4bd04, 0x6e408548, 0x809a39dc, 0xb2c4bf07,
+    0xbd61d542, 0x48e7243e, 0x32e6a192, 0x4f3afc97, 0xb8ac8aba, 0x35774d1f, 0xb76f8c03, 0x53c3697d,
+    0xfed44c4d, 0xaac9d465, 0xfe4b07e8, 0xd7954f01, 0x8e6ddeaa, 0x8dd6b36c, 0xecd426f0, 0x115364df,
+    0x96f2e209, 0x22595169, 0xd0c90acf, 0x3d778d2a, 0x4fe72d1e, 0x98127c43, 0x135059f1, 0xeb2a92b0,
+    0x83916fcc, 0x5faee7b4, 0xfc4621fc, 0x04287ac9, 0xe4ec33da, 0x0b102416, 0x48134c01, 0xcdaed5a9,
+    0xbe260d43, 0x2203fc7a, 0xd53fa02e, 0xbc75448e, 0xf0c8398c, 0xec5595b5, 0xe4ae3bf7, 0x6de553d5,
+    0x24854b16, 0xd3f933f6, 0x3bf2389d, 0xf0315bf3, 0xf1b8ec27, 0x44256c20, 0xe071f0ba, 0x76695814,
+    0x838e7678, 0xde2a4ba0, 0x2f775d7b, 0xb065335e, 0x36319067, 0x3bf8383b, 0xca336a18, 0x1fe1a1f7,
+    0x8a0f175b, 0x379f30db, 0x9de48f9d, 0xe633f044, 0x42936ee3, 0xeb89c30b, 0xdd98fbb2, 0xa922e2c7,
+    0x2dfc2f11, 0xb312cc70, 0x889154df, 0xc4d326d4, 0x4e8755ef, 0x1f06edc9, 0xd49b02d1, 0x1786d6bb,
+    0x2c93fd39, 0x407e78e5, 0x177d6732, 0xc3f5aaf0, 0xc26c2de2, 0x458edfa9, 0xdd147585, 0xa4720e72,
+    0xc1845f4c, 0x7e2c667c, 0x98182876, 0xbfe62e21, 0x3944a651, 0x78246482, 0x315a39fb, 0x22c83b46,
+    0x6dbf7b74, 0x4b25ec21, 0x183ced5b, 0x3e2cd7ee, 0xf89e134a, 0x2f76169b, 0x44ff43f1, 0xd83a81d3,
+    0x15f36f7f, 0xba021e4f, 0x9d59e5f9, 0x9ae377ec, 0x0cf175ee, 0xe860385c, 0xef309a90, 0x10feb922,
+    0xe74215c3, 0x4c6495a2, 0xe36b2ec9, 0x93b3466f, 0x8559ae51, 0x30199080, 0xf0420a1c, 0x0caaa901,
+    0xc0052f58, 0xd36510e3, 0x09a16c90, 0x8350e5d5, 0xe4f7f908, 0xc4525d4f, 0x657fd283, 0xccb9ccbd,
+    0x7eaed3fb, 0x0ea0d21e, 0x75818951, 0x1b1dfbf8, 0x4a4d1f73, 0x2a78470d, 0xaf504eea, 0xd5e6b12b,
+    0x9a3e22b3, 0x06a33702, 0xa34c76c2, 0x589135db, 0xffbb24b5, 0x7d6202b6, 0x17f2dac3, 0x81d1a74a,
+    0x882227e6, 0x82ed8aa3, 0x515bc371, 0x73e6d5fd, 0x9e254a10, 0x48a7dd82, 0x1fe919fd, 0xa052545d,
+    0x1f6cbc7d, 0xe719950a, 0xeaa8d837, 0x8c80c83f, 0x61dfc14d, 0x3fd79c46, 0x0698f6bc, 0x872ca944,
+    0xd0e610a3, 0x33297d47, 0xd3162507, 0x20356a4c, 0xcf56d455, 0x05126452, 0x3ad8f3af, 0x9e76386b,
+    0x08352f3f, 0x0eea7e0c, 0xd59e00e2, 0x4f33c70d, 0x43bb8629, 0x9c4d6cec, 0xbe255ac5, 0x33d0cbc1,
+    0x5adffcac, 0x3544d6ce, 0x18de439c, 0xff38c0bd, 0xda2ed7b5, 0xadcdde9e, 0xc646f51e, 0x2887be95,
+    0xb4596b3a, 0x33957776, 0xb6fb9c02, 0xbbacb209, 0x20978d60, 0x6806ae98, 0x5eebae06, 0xd51ee1d9,
+    0x103b6a10, 0x5d2fc671, 0xea13f063, 0x9494b101, 0x0785a9af, 0x4a8aa1f2, 0xa1307054, 0xe4f8b677,
+    0x3e1a3317, 0x61e51415, 0xcb9adca2, 0x59cc03fd, 0x64667be7, 0xd4db09a5, 0x58ea47e3, 0x6f70e0e2,
+    0xf2359d21, 0x11acb95e, 0x9fd9a22b, 0x2e8b548a, 0xc4870359, 0xde757837, 0x5b2ac98a, 0xdab62411,
+    0x1c197644, 0xd6121e3a, 0xca0f8b44, 0x6c3cf651, 0xc1f2ede8, 0x8aafaa62, 0x84460109, 0x6d7c8d3e,
+    0x157831a5, 0x653ddf82, 0xce485214, 0x969bf534, 0xb0bf24ed, 0x73f36a76, 0x4208ec76, 0x158a1eb8,
+    0x901181ea, 0x3eb8a59f, 0xf13c5584, 0xabd3b97c, 0x52164768, 0xa85e4556, 0xeccc70eb, 0x0b19e779,
+    0xf74079b7, 0xc71ed5e1, 0x53562387, 0x2dd3966c, 0xd1b2b41e, 0x34af1813, 0x4f1b8af1, 0xea7093b0,
+    0x93031524, 0x943143d5, 0x9d6b8375, 0xae791996, 0xa268d755, 0x484dffb6, 0xfcc128dc, 0x181b802c,
+    0x858226a6, 0x32908f78, 0x755c13a2, 0x151cadba, 0xcbd520af, 0x513c4c82, 0x2397fbbe, 0x55df004c,
+    0x9043750e, 0xbb602039, 0xce5584fe, 0x1f4ca642, 0xee64a59d, 0x59ac11c7, 0x41068bdf, 0xc2e096c1,
+    0xfcabe529, 0x6077ea78, 0x37ebd3cb, 0x96e455ff, 0x7a9ddcf7, 0x39100624, 0xb8eba2c6, 0xf2111aaf,
+    0xa7c088ca, 0x77016a68, 0xe63974da, 0x752310bd, 0x2cb3fcbf, 0x3c96cbce, 0x99a59af6, 0x0fff0deb,
+    0x4e8a6907, 0xa9faf387, 0x999b1b8a, 0x4ad9a4a3, 0x36bfcb3b, 0xcb0732b6, 0xe6e8d7b5, 0xb47b2b84,
+    0x24303468, 0xd843aaae, 0x4b4bcb70, 0x21a65e96, 0xf66ba2a0, 0x99938e74, 0x9201011e, 0x12004c6f,
+    0xd1fdc0c2, 0x9d9effc6, 0x3f3ab77c, 0x921f5baf, 0x3bbb2e16, 0x970ccca0, 0xac873ef9, 0xd4909847,
+    0xd6727514, 0x3bc58c1a, 0x0faf49e8, 0xd2c6af22, 0x8a07dbef, 0xdff1c40b, 0x497ebc93, 0x4776e77f,
+    0x2fb5f422, 0xf065d813, 0xee914758, 0xd32140df, 0x8e9efe4a, 0x7e5362a1, 0x339a5206, 0x02640331,
+    0x140499a2, 0x6903cdf3, 0x4157e734, 0x8a08ae30, 0x60bbba6f, 0xc34822e8, 0xaf2b8d60, 0x5e776a51,
+    0x6275a3d0, 0xedd83b4e, 0xf0c2f6e9, 0xad6f7e6f, 0xef541538, 0xada15830, 0xc11f9a81, 0xa62b1789,
+    0x3ee2e24c, 0xe0a751b0, 0x0b940af3, 0x18caf6ca, 0x557e0625, 0x38046938, 0x982795ad, 0x4f18065b,
+    0x0afcc4bc, 0xbdd1be24, 0x1423585a, 0xd22fcb1c, 0x56e67607, 0xb3ded7fc, 0xf4084abb, 0x202ec8a9,
+    0xd324cfc9, 0x623fd597, 0x1ed7a055, 0xe2ae5bd3, 0xef5c03b1, 0x7c3451f8, 0xc68d13ae, 0x288183fb,
+    0x2fb44d73, 0x18c443d8, 0x11072afe, 0x8ebefccf, 0xbf1261ad, 0xe92b4a23, 0x482737a7, 0x3956dbdf,
+    0xbcbeb3ca, 0xef31ded5, 0x009216d2, 0x7602604a, 0x4a600cec, 0xc45424f7, 0xd7aa1537, 0x5c3b956e,
+    0x8fbad611, 0x4140256e, 0xdd3076bf, 0x7a22ae0f, 0x78f739fe, 0xf78fd07b, 0x72444305, 0x92fafeec,
+    0x39ab2635, 0xc7ddb0cb, 0x8fe35fdc, 0x227d3393, 0xaca0d71a, 0xac6f469d, 0xfbca3aa0, 0xb22212ba,
+    0x9f3084b3, 0xc73af1c5, 0xb0272d64, 0x198e5ed4, 0x6bc5fa39, 0x61234495, 0x8cadaab8, 0x02d9a2e1,
+    0xd1f12fe6, 0xc42bcd4b, 0xf1e39e0d, 0x20923e97, 0x9bbcb93e, 0xb043e099, 0x0f016100, 0xcc7a886f,
+    0x3525e967, 0xa4a53f12, 0xf66ef808, 0x45075f0d, 0x767f7736, 0xa90fe738, 0x06a97bf2, 0x0b63c1dc,
+    0x82f94f07, 0x66529552, 0xe44100d4, 0x68f8a063, 0x0cce1b91, 0x73760916, 0x91e48ac0, 0x8c30ff28,
+    0xed25ed0c, 0xf58dba54, 0xaa5f4078, 0x450753a8, 0x47e9059f, 0x86281c25, 0x4193e486, 0xe968b6bc,
+    0x235d836d, 0x7298d79c, 0x16dd7758, 0x99f5b4c7, 0xc70fb4f4, 0x5f35e929, 0x3748b780, 0x96ad6bfa,
+    0x0ce912f8, 0xc28de400, 0xf4c85b32, 0xb9ba2882, 0x028f8f7a, 0x00d0f907, 0x29bce20b, 0x5a921226,
+    0x831725a3, 0x4cbc4664, 0xb0e8704c, 0xc6b7b575, 0x4ab513af, 0xd976b77f, 0xd102a890, 0x79f06869,
+    0xf8d1efa4, 0xf6a8635a, 0xf6617151, 0x071b6b6b, 0xbc42b98b, 0x0cdc1a94, 0x1aa9c57a, 0x57ac83db,
+    0x98201f94, 0xc1a171f6, 0xced94bd3, 0x55c57e1b, 0xf3a70864, 0x819cc7f8, 0x32ddaf5f, 0x42d0932d,
+    0xb7278d67, 0x98e275b2, 0x9754f50c, 0x4ce864d6, 0xb31b867c, 0xc44e01ab, 0x79646853, 0xc9efcefc,
+    0xbacea2b3, 0x25e5927a, 0x2895ee83, 0x33c015b3, 0x3ec3404b, 0x9828ee31, 0xa177ed50, 0x19a146b1,
+    0xe54246b3, 0x2ae0b975, 0x885de745, 0xf82866f2, 0xfe68cc92, 0x9ca6d180, 0x4b814e6a, 0x82a12bd1,
+    0xaa65359a, 0x2fc86241, 0x5ce7aa1c, 0x61645127, 0x9695e631, 0x7f9417c1, 0x951ae3d1, 0xf4a54a46,
+    0x3178e22e, 0xd81bcac3, 0x439e46bf, 0xa959df82, 0xf2282e65, 0xf10f2a7f, 0x95e95855, 0xb99a03a9,
+    0xe28bcca6, 0x2386d4b8, 0xc557def4, 0x3af85d75, 0xa375945a, 0xa40184e2, 0xf592a20b, 0x91f9f9e1,
+    0x3a8d9a03, 0x36baf93a, 0x55c09339, 0xe16a04d7, 0x8a2b1d24, 0xc46e9873, 0x20a952d1, 0x6b7001d2,
+    0xe6182c8d, 0x59b3fecc, 0xd04a86c0, 0xbe15fe1c, 0x0fef0ccd, 0x4ca11279, 0xb191b2e9, 0x0997f85f,
+    0x93c298d0, 0x5d049108, 0x661b957a, 0x68faa9b1, 0x7bffe3a7, 0x1956fc17, 0x887410d2, 0x0c2e6d80,
+    0x1f6f3937, 0xd8b60cec, 0xe6a9b55a, 0x614951e4, 0xdc23258b, 0x5f214937, 0xaccd98d6, 0x872ef37a,
+    0x73a1ad02, 0xffd9d1ce, 0x2fdd40ef, 0xa4ff9334, 0x2f116a6a, 0x069c4519, 0x4c73ff10, 0x0daadf8a,
+    0x5c28b580, 0xdfe13465, 0xe84f4c24, 0x229bda97, 0x277f824b, 0xf5c93500, 0x806b9685, 0xfab5f6e9,
+    0xf9cf0b48, 0x40cfc324, 0xccd4781a, 0xdb07e392, 0xd4ce6abe, 0xf62f264a, 0xf42684f5, 0xd12c74e2,
+    0x00000000,
+    0x9d6a748c, 0x62aff1bd, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000003213876088517980551083924184682325205044405987565585670602752 */
+  { 0x00000000,
+    0xed4a4157, 0x46925770, 0x36c829b1, 0xcd1a36dd, 0x60a9f020, 0x743c4fa0, 0xb8ed8fa8, 0x393344a5,
+    0x9efa6534, 0xdfa33ff0, 0x93b7621a, 0x447f53e9, 0xf8034b9a, 0x9949bbc1, 0x4510fa8e, 0xe65f4098,
+    0xd79865e3, 0xf1cffe5f, 0xa38bb09b, 0x4add93ca, 0x0504401c, 0x02631322, 0xf82d57bb, 0x241ae31a,
+    0x416145f1, 0xf56e4a63, 0xa9f16ebb, 0x189485b7, 0x0d75cfb3, 0xeb400fe5, 0x3b4a464f, 0xc26b933f,
+    0x9b5e2beb, 0x15145959, 0xcb0d1daa, 0x5ec9c658, 0x57d022bc, 0xccdb7603, 0x625a0471, 0xb3af0024,
+    0x1ee68cbf, 0xb0f57ae1, 0x3b8b0740, 0x72dbb23c, 0x248c552f, 0xd8e2e91e, 0x4a63fde0, 0x454cbb80,
+    0xb316bb4e, 0xe782964b, 0xe90b11af, 0x5b7fc727, 0x3b5312dc, 0x144cc241, 0xc97952bb, 0x71f83a5c,
+    0x86004f2c, 0x0e181bd1, 0xd7cd79eb, 0x4096627f, 0x8a126463, 0x0593b344, 0x2bbdf780, 0x8ea178a1,
+    0x3e9b2ce5, 0x4cfd63a4, 0x359f791a, 0xc89e49a9, 0x00ca45e1, 0xc9a9d14f, 0xe311c348, 0x6fa57b1e,
+    0xb2bb1189, 0x34e35f4d, 0x4d3c9d32, 0x591aff39, 0x67f5c6c7, 0x721748b4, 0x9aadd17d, 0x77f2a356,
+    0xf9df22e7, 0x8835a1be, 0xf4901657, 0x78da6730, 0x10f0fd20, 0x259ecbd6, 0xa00b7c62, 0x2ae544e8,
+    0x1b7fa8d4, 0x3ee73874, 0x6eb5bda6, 0x89273a63, 0x16b21715, 0x6f4d3d78, 0x7f742f64, 0xd49d751c,
+    0x1ac27478, 0x343bafa9, 0x17753a64, 0x0c58d7cc, 0xcfec61fa, 0x86e43653, 0x771c0324, 0x7713c72a,
+    0x02fd032a, 0x9029a687, 0x4cd4ab71, 0x998d50ea, 0x064d6ed7, 0x45204195, 0x280d1b97, 0x9b059587,
+    0x470061d5, 0x01074696, 0x2e6c6d56, 0x2345830c, 0xbc816c4d, 0x10477c34, 0xaaf9b6e1, 0xb3ce8c7b,
+    0x311d34c0, 0xbce4ddc4, 0xc79b9d40, 0x03a16ce7, 0x6633cb5c, 0x3a41f0a9, 0x46148569, 0x03b94128,
+    0x8e7cde95, 0xe840618b, 0xfeb66bc2, 0xb95731ae, 0xb827b523, 0x6d9cf380, 0xa4732d81, 0xe8d3c04b,
+    0x22552ada, 0xed8cf4b2, 0x2e675798, 0x00dac4f4, 0x4d5fe1c4, 0xf50a8f34, 0xd3043755, 0x230c9480,
+    0xb003d9a7, 0xe3cfeedc, 0x07ec0a0b, 0x9bcd78f5, 0x340759f4, 0x47c16507, 0x945f580c, 0x02b065b5,
+    0x095d284c, 0xaec1d573, 0xfc9fe024, 0xa9e9ac82, 0x07b0adb3, 0x1313a0d1, 0xc8182ca1, 0x252e7874,
+    0x40a6c07a, 0xada990e9, 0xf129b801, 0x4b1e0aaa, 0xa536f12d, 0xc17d51f8, 0x62a71be4, 0x35c01a62,
+    0x75fc2c76, 0x6dee52b1, 0xbc5f10d8, 0x616ba100, 0x464ce5f6, 0x902555b9, 0xfe1cab7d, 0x16d58f94,
+    0xd289f5b1, 0x03ed0755, 0x74eb081a, 0xb9e4d11f, 0x1c816044, 0x6184bbe1, 0xf1bc3adb, 0x3e14292a,
+    0xf417d2f9, 0x7af18db4, 0x200da6c8, 0x274ea6e0, 0xb621690f, 0xa878a84a, 0x4bf47114, 0x953e0b24,
+    0x11643663, 0x772a2f48, 0x0b6c14c9, 0xdf1c7e96, 0xacd79d72, 0x802faab0, 0x6777d25a, 0x75353877,
+    0x246f892a, 0x702f0349, 0xe6ec1f0c, 0xda0f4b06, 0x927f54a2, 0xd3a37e14, 0xc5fa729e, 0x2b8c067a,
+    0xba07e20d, 0x3553df2c, 0x1bff647c, 0xf66a987c, 0xcb51d5c5, 0xa11e3374, 0xaf22055c, 0xf8ef8ddc,
+    0x9916fb37, 0x93ec3712, 0x5ddc09dc, 0x9d873895, 0xa062b598, 0x6e459077, 0x0289c112, 0x697a9ad3,
+    0xa8c5f579, 0x9561aaf7, 0xe58523e2, 0x683df2ad, 0x41df7799, 0x6754f775, 0xce7aa382, 0xceb91ccf,
+    0xff87a86e, 0xfec04a22, 0x57a3fc5b, 0x8b6c6544, 0x4cf6e95c, 0x2699193a, 0x174a5441, 0xb8b8a18a,
+    0x12ea8a63, 0x7c90710c, 0xe91ca92a, 0xf9363a14, 0x2870c14d, 0xbe2433c9, 0x6193442f, 0x91b6e4b6,
+    0xa6f2e68e, 0x06e0d496, 0xcbfec8b8, 0xe800564d, 0xa05f1417, 0xc12b8381, 0x3bc5d1a4, 0x8462905d,
+    0x599ba3f4, 0xe085ca62, 0xb7902fff, 0x08067ab7, 0xb6a121d6, 0x641eeb87, 0x28df1321, 0x9ea3ee8b,
+    0x51853ee1, 0xc4f18121, 0x58180cbd, 0xa9c805b0, 0x1501d782, 0xdba9c6b8, 0xcb3b4595, 0x698c7c87,
+    0xa09747d2, 0x7b9ae97b, 0x9ebb9b35, 0x7b7be765, 0x7982db38, 0xcd3d8a5e, 0x50b90d13, 0x691e86cc,
+    0xe197636e, 0xa8476052, 0x4a7be407, 0x41322437, 0xb1cb0a88, 0x8960527e, 0x611510ad, 0xd40b18ef,
+    0xdbe7790d, 0x0da59674, 0x3c951b9e, 0xbaeb4cf1, 0x22f72a50, 0x8d1e3d16, 0xa0274410, 0x09503b44,
+    0xc82cab5d, 0xffa36c6f, 0x5b54a3fe, 0x0116c5f4, 0xd52ff874, 0x238a6507, 0x5e6e807a, 0xd56008d3,
+    0x3f473af1, 0xe87dc928, 0x4c3dc1bf, 0x08f7e70f, 0x90e97acd, 0x0b61d0a3, 0x1a03f1f1, 0xac792c33,
+    0xce35b247, 0x2c016b92, 0xc8b0aba6, 0x6f5ead2c, 0xc86bc9ae, 0xa49a4ff0, 0x6971e7ad, 0x3a14d127,
+    0x468b5cac, 0xe7cc53c7, 0x2f0aefe0, 0xc53266f9, 0x40e00243, 0xf2b73d3a, 0xb8757930, 0x50614012,
+    0x0bb165c6, 0x508a4705, 0x7d7cc4f2, 0x59f17a70, 0x53ef3c3d, 0xddba5359, 0x4c35f0ef, 0x641d8461,
+    0x672c122a, 0x25c6982a, 0xea0e2998, 0x787f4520, 0x7906ec6e, 0x552d827c, 0x54b4b410, 0xe82ae744,
+    0xda3f3948, 0xad53b0cd, 0xfb4c1f19, 0xa620fae3, 0x9a9670bd, 0x0450e108, 0x51464227, 0x6935d287,
+    0x766871cc, 0xe43fc4c2, 0x23384697, 0x279aa753, 0xbb62105f, 0x9396c0d9, 0x5bb56cc4, 0x5666a6a2,
+    0xad82310a, 0xdd8f5750, 0xc3edd1eb, 0x9087bc77, 0xa8ac356e, 0xffaad27b, 0x017874ae, 0xe418e343,
+    0xd48d1661, 0x6742ee4b, 0x037d5560, 0x34b3bebb, 0x1934167d, 0xde6cb383, 0xb0d0b2bb, 0xd95582cd,
+    0x17850659, 0x2047b9ca, 0xa75e3180, 0x1ffd1e45, 0x691eb10e, 0x3aa7eb2f, 0xd22162dd, 0x459dea7a,
+    0x7be72929, 0x992a79f7, 0x51a39bdd, 0x0e22c8a7, 0xb716ed4d, 0x0e7ea3d2, 0x6bad7fb0, 0x5e9acdfa,
+    0xb0997e2b, 0x4409b942, 0x16fa89a5, 0xbfa6007a, 0xa8724e55, 0x46053dac, 0xfafcd358, 0xd4ec82b5,
+    0x385dde01, 0x2c2445cd, 0xf581b317, 0x63a7212c, 0x9a4b1ade, 0x8bb86b4e, 0x901e7178, 0xb6eb2d2a,
+    0xcb1bdc99, 0x3e6418cb, 0xc16609cf, 0x7bc7a707, 0x33d6ff9e, 0x23fef7ad, 0x4865131b, 0xf73940ba,
+    0x3e2b8013, 0x88388afa, 0xaf8938f9, 0x5f85a100, 0x4edfcdb6, 0x97329692, 0x9033418b, 0x1ea1fecd,
+    0x878df5fb, 0xc8d41357, 0x327c7b2e, 0xc96a2156, 0x4fc71ee0, 0x62be5da4, 0xf1686fc1, 0x329ca54c,
+    0x39ff39ba, 0xe69a7858, 0xb01b86b3, 0x8c9a57ba, 0xd9e96a75, 0x6a22c900, 0xe82ac707, 0x58fb0230,
+    0xd9b97e82, 0xfa1a00cf, 0x805607b2, 0x79a5c0a1, 0xe09ae30a, 0x38e312b6, 0xc1c97f89, 0x3cd78779,
+    0x49517488, 0x886b672c, 0x324898ad, 0xf33dc2bb, 0x10a0fcba, 0x1c0b7c45, 0x34fd2d14, 0x2a3e07a9,
+    0xb7d4206e, 0x75607f4e, 0x2a47c360, 0xf203e362, 0x1450180d, 0xff282397, 0x3661ef7c, 0x57f0fd5f,
+    0x0b1b3fce, 0x372a869f, 0x93bfa47c, 0x536b6439, 0x97243db8, 0xb9dc932f, 0x1c483b7a, 0xe8a94c06,
+    0xae9366f0, 0x4d4b17c9, 0xe085479f, 0xa9073eff, 0x82d1733d, 0xeca49082, 0x398c872c, 0x2e409483,
+    0x6b2333ae, 0x607c96b8, 0x12445226, 0x0d73a390, 0xa74cdee3, 0x15140515, 0xdf7aa933, 0x99789f88,
+    0xe02174aa, 0xdd1c586a, 0x383ee257, 0x1887b2e8, 0x0f648d88, 0xfdd40f2a, 0x48151f3e, 0x07b1cfcc,
+    0x195d2b81, 0xba793271, 0x2f0aecf6, 0xf45c32e4, 0x9222cb45, 0x83ef6d0f, 0x2df8dba8, 0xf33b4448,
+    0xa133bfa7, 0x3aed02d5, 0x0e0b8d78, 0x31454176, 0x4ae1597f, 0xb761ac4c, 0xdb30feda, 0x17a2f013,
+    0x4ae997cd, 0x1aa719db, 0xa8f6b643, 0x808f47b9, 0xbd9e8e0e, 0x4cf1b130, 0x423f2fb8, 0x51a73c40,
+    0x130981d9, 0x142799f3, 0x8ba2298d, 0x6d6f8884, 0x6302b511, 0xe6d1ff82, 0x1595780c, 0xc2b50ddf,
+    0x695fbca2, 0xe224dbea, 0xb445124c, 0x8385864b, 0x4bb4b12c, 0x551a3a47, 0xc13a2d98, 0x03da6302,
+    0x2dfdef15, 0x3d185ee3, 0x564287ca, 0xae2dfff6, 0x8fd814d6, 0x6ea0b8b6, 0xac94c69a, 0x6883d6c8,
+    0x1bdc4001, 0xab4fd1d7, 0x04e239c7, 0xb41e15f0, 0xc568624c, 0x2bb863ec, 0xb8829613, 0xd80df45a,
+    0x9cf6981f, 0x99b2fad6, 0x3daecc6b, 0xd5e0c6f2, 0xe213a72d, 0x58bf0403, 0x43f8e936, 0xc393ac49,
+    0x04e539c6, 0x89d8c396, 0xc824e7aa, 0x7c28db28, 0x05758d05, 0xf2736ec5, 0x13e3af31, 0x79674efe,
+    0x6d3d2576, 0x2fc08b59, 0xaa9ac161, 0xa13248f4, 0x04b89df9, 0x3a92690e, 0x1facfcca, 0xcbd1eab5,
+    0x7fff8dd9, 0xba9531e6, 0x7ee53914, 0x68ada43b, 0xb83d7872, 0x630e0298, 0x8a11534d, 0xfa424642,
+    0x9461d308, 0x6b74af0b, 0xc0afa489, 0x0b7a6dc6, 0x8ca47ca9, 0xb95a258a, 0x09d47de6, 0x1c6121d3,
+    0x616b4289, 0xacdfb94d, 0x808cd09c, 0x607187e4, 0x441c2a6a, 0xd82d9541, 0x60b5b634, 0x63d90e22,
+    0x5501df87, 0xed635475, 0xb2dada24, 0xf88d1c61, 0xda7abceb, 0x5aa1d833, 0x57f28aff, 0x72eac522,
+    0xcfe0f8f2, 0xcc4395f3, 0x76543c1a, 0x06a6b23b, 0x70a1a2a2, 0x5bab58ea, 0xc27aa30b, 0x8d9e4b7e,
+    0x956124a6, 0xcc88dd77, 0x9e92ac10, 0x39a7bcfb, 0x044f2569, 0x36db813b, 0xa2cdfbb6, 0x7f0192ec,
+    0x2e31a9b3, 0x5d07646e, 0x2e1d6d67, 0xaa8d3816, 0xcf4c6679, 0x7dfa0975, 0x5955efaf, 0xdcf31f6c,
+    0xecfb00e6, 0x00c66abb, 0x2f171d7f, 0x035f7212, 0x4d1cd524, 0xb1d026ef, 0x4e26076d, 0xbe7ec82e,
+    0x6a1a4924, 0x84e4bf5d, 0x6e8a16a4, 0x56f80c3d, 0x359ef99a, 0x5247bb66, 0xea382e89, 0x3ce9d85f,
+    0x850cba47, 0xca8b8185, 0xea3d617b, 0x309a09e1, 0x1d6ef079, 0xb4e7e064, 0x609377ca, 0x76f7a011,
+    0x448da0df, 0x69136bc7, 0xaeb603f8, 0xf5477c37, 0x2ec5fcff, 0xbd9a958f, 0xe226a45a, 0xbc68f078,
+    0x42ba23ff, 0x1aa4c249, 0x4419b7ea, 0x8abbfe23, 0xf47cf8d9, 0x5275cae4, 0xc1410591, 0xd8cdf022,
+    0xc82016b0, 0x009365f4, 0x621a5aa4, 0x3efe9774, 0xc59efd1f, 0x606eb293, 0xe3eb3063, 0xdc6d9225,
+    0xa23b879f, 0x78be9dab, 0x375859c7, 0xc493e9ff, 0xe4b60766, 0xdc6e4e82, 0x9524a5e8, 0x05ddc451,
+    0x38aeed25, 0xe7f08e04, 0xb203a0f0, 0x5a693464, 0x75b6d539, 0xe4ca278a, 0x84589b4b, 0xcbf10aad,
+    0x321b0005, 0x9d0ffc06, 0xec385d80, 0x866f5a16, 0x385c980d, 0x41a95bf5, 0xe95d28c8, 0x493a691e,
+    0x51dada62, 0x9008836d, 0x28275d02, 0x2e1222a2, 0x784cc4aa, 0x4ff4fb3b, 0x6baf8abc, 0xf3daa32f,
+    0xadaa6ffd, 0x27a9153b, 0x06aa4fc3, 0x0213f246, 0xe9376a91, 0x398039db, 0x89a1f289, 0x27136cc4,
+    0xd72eb6bd, 0xfaa808ac, 0x2a29ecc2, 0x5db8d2b3, 0xf3a1c4bc, 0xe6064a98, 0x9d26a458, 0x20a8f419,
+    0x81195e6e, 0x5f2f1853, 0x55ebd831, 0x911c5f31, 0x3a16bc22, 0xdce8c336, 0x63359d85, 0xec31cede,
+    0xb33e6c4e, 0xa280dbda, 0x21948f8c, 0x70455534, 0xb4b65635, 0x95c1cbe6, 0xe5a35026, 0xf03e78c6,
+    0xc84324e1, 0x225e276f, 0xe261d90f, 0x3d64cead, 0x279eadb0, 0xd133a46a, 0x3db7f77d, 0xa7330332,
+    0x432b9bc2, 0x95c0b8ab, 0x5753939e, 0xb80015c5, 0x1153184a, 0xe7a5d656, 0xa567de27, 0xc26d9757,
+    0x32d15dfe, 0xcceac72b, 0xd3a2dbdf, 0x11b02c22, 0x0ee720ed, 0x2df643d7, 0xd9dfce22, 0x044e72d3,
+    0xf0aaa4b1, 0x6241c382, 0xd3c55ba1, 0x6dfb24fe, 0x5e9b995a, 0x01d5e647, 0xef9f9975, 0xd685b2b7,
+    0x8f085181, 0x67fb78dd, 0xb23fcc62, 0x6b6653fe, 0x1b400075, 0xcd6ba2b0, 0x0ad7a8b6, 0xcb750774,
+    0x24154ca3, 0xa26e5fcb, 0xabc66a11, 0x9b91c9e7, 0xcfe177fa, 0x9702d974, 0xccfaea6a, 0x1ded4e8b,
+    0x77fb32bd, 0x960e2166, 0x17b1cbab, 0x3ebf4d18, 0x31919da6, 0x7f30567f, 0x0e1f09b2, 0xbf96182e,
+    0x26d1374f, 0xc679310b, 0x4527cae5, 0x81068c17, 0xf0fe367c, 0x64280d98, 0x41673f65, 0x69157bfb,
+    0xc4de6527, 0xb3a3b74b, 0x6cc957c6, 0x15f53606, 0x30f1bd4f, 0x30793705, 0x76f99564, 0xb1d5a960,
+    0x28e5df44, 0xfada7606, 0x1249272c, 0xd58159e7, 0xf5de0439, 0x0c887c1c, 0xefb1f344, 0xe0d6c323,
+    0x6dc42a18, 0xa76aec17, 0x189d951f, 0x61860e9b, 0x4cd20fa5, 0x9ab8a75a, 0x1ba5760c, 0xec6d6088,
+    0x8831b620, 0x3b595ad3, 0xc22a34a3, 0xd22d46ba, 0xa5e300ce, 0x84275bb7, 0xd2c413a5, 0x27fd7050,
+    0xf9794d41, 0xb739575f, 0x3536f211, 0x0e6bd9d4, 0xfc1a15fa, 0xbc8bbff6, 0x8638e15d, 0x75b3bdc6,
+    0xa7a9447a, 0x8cd6fbae, 0x48843b0b, 0x169c7f81, 0xeb079989, 0x67f66970, 0xb49c34ca, 0x7abefcfb,
+    0x441482c1, 0x20634930, 0x553d2af2, 0xc20f854e, 0xb60cb2e9, 0x3ad31b60, 0xb990c226, 0xa6038577,
+    0x152c2546, 0xcdca5e76, 0xaa80e648, 0xdfe94bc1, 0x524aa104, 0x53b2e2f3, 0xb018b169, 0xdd6d91e9,
+    0x47d7a6fb, 0xbe3bc8ab, 0x3de17f92, 0xdcd89c27, 0x2c4d2c76, 0xb76418ec, 0xcb5f75b8, 0xc06af112,
+    0xfcc99ec8, 0x57c76b54, 0x416443dc, 0x75976e10, 0x90d6150e, 0xa6c60b46, 0xf09afa87, 0x5d74634a,
+    0x82f953ee, 0xd753096b, 0x40016294, 0xb8dc828f, 0x31734af2, 0x40f4764f, 0x721e505f, 0x0a66643a,
+    0x2c9d1131, 0xa471b32d, 0xeae717dd, 0x109eb118, 0x7d141790, 0xd79b16ba, 0xc470b07d, 0xa1b9595d,
+    0x8b5cbdd3, 0x44e0862e, 0x16beb1d3, 0x7c99b1b8, 0xe725c3b4, 0x922f7d8a, 0xfbe981f6, 0x3974813b,
+    0xf2020aa5, 0x04410d91, 0x4fe52c2e, 0x2b4a318d, 0xf7fdbbdf, 0xeff96f81, 0x1ef50bb0, 0x84bbe7a4,
+    0x93b8c797, 0xf1f23d2c, 0xfcc4a77a, 0x7403364a, 0xca690a61, 0x8af85dae, 0x881016c5, 0x9ba290e3,
+    0xfb710fe8, 0x847c1f7b, 0x115cdea9, 0xf936bb82, 0x102903f5, 0xcbeda2b2, 0xc626eb0f, 0x83057ab4,
+    0x6b21eb88, 0x065c3398, 0x7d26b998, 0xfad623db, 0x0e60f57f, 0xb7b9ef28, 0x73b426b6, 0x8283b932,
+    0xd2f8a22c, 0xa84c9edf, 0xc2d626fa, 0xf979efce, 0x375e6d0d, 0xa871b355, 0x0145c43a, 0x49a68e54,
+    0x20309508, 0xf169dc09, 0xd7d2a5ed, 0x235565a8, 0xe9ec27ee, 0x9bd26849, 0x11037f61, 0x5662d7c1,
+    0x2863ec94, 0xb42ac65f, 0x0c42cf76, 0x2013cf1a, 0x1c434bd2, 0x3ea6916e, 0x1c445059, 0x52068e5e,
+    0x832c0ddc, 0xa1cce7f2, 0xb2fb18d8, 0xa6a35fbd, 0x69cfa66b, 0xf891a069, 0xfb4d185a, 0xfac19f87,
+    0x718b4a29, 0xeea4ff69, 0xa478c2c3, 0x09c81dcd, 0x852fd7c5, 0xecc26f0f, 0xfe2e578b, 0xf88bd854,
+    0x2f2a4f8d, 0x0171bf74, 0xa3fc179c, 0xfc2b118c, 0xf30a5b0b, 0x43370629, 0x986d40f5, 0x851ff4e5,
+    0xc8b2b13a, 0x61d31f33, 0x69673dd4, 0x1927e204, 0x6d92f9ca, 0xbe8943ee, 0xe229f484, 0x16e9e92e,
+    0xedb41fa8, 0x6e19272b, 0x9fbccc0a, 0x375f2c4b, 0xa51b7169, 0xecb27dc2, 0x86224a93, 0xe767c7ee,
+    0x00000000,
+    0xceb53a45, 0xb157f8de, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000001606938044258990275541962092341162602522202993782792835301376 */
+  { 0x00000000,
+    0x78268d50, 0x44d02bee, 0xc24472bd, 0x56501367, 0x3333eaab, 0x7f8f9e27, 0x8b251e31, 0x47225183,
+    0xd7ef52de, 0xef6c6f39, 0xaa8a596a, 0x8caa6e16, 0xb0614553, 0x9810e8db, 0x89b1038c, 0x410929a3,
+    0xadf050e5, 0x2d5bdb14, 0xc2cb8cfa, 0xbc1dbbe8, 0x4f31a1f9, 0x980288b2, 0x6cb7d7ae, 0x45aeef5a,
+    0xf8c7b2a7, 0xa5e2ec3d, 0x44d82a66, 0x280e7e59, 0x589ace65, 0x60ec4bae, 0xa0814559, 0xfe2e4fc9,
+    0xc07fca6d, 0xa59a41a0, 0x0e662ef0, 0x7742f067, 0x8716c7f3, 0x032c62d6, 0x78758f8d, 0xd0810f84,
+    0x6efca0ff, 0x450668b3, 0xeb454c00, 0x96405a93, 0xa933e0db, 0x268ef0e6, 0x5771be35, 0x7fc71be5,
+    0x97ae1121, 0x7d328c9b, 0x8cde992f, 0xedd8510d, 0x8033b527, 0x39813d9e, 0x6bf5fb99, 0xce5201df,
+    0x7dfda6ec, 0xda12a87b, 0x97f1fdb4, 0xe7697f90, 0xf62dd7d5, 0x5e1e9400, 0x5ec71cd7, 0xf417dd6f,
+    0x94d30d2e, 0x21c26874, 0x6c13a0ae, 0xcb8ce4d7, 0x307ec509, 0xaa2b887b, 0x82b49383, 0x600c2729,
+    0xbc670339, 0xab644c0f, 0xa85e383c, 0x2d32e3dd, 0xc2aaecdc, 0xa11cbb1d, 0x7c89a1fe, 0xe945353a,
+    0x270f061f, 0xce131c3b, 0x85ad2b2f, 0x8f47dbaf, 0x95aecd15, 0x20186f97, 0xc1aa7e8f, 0xd2d4990b,
+    0x867c554e, 0xc1fd48b7, 0x280b69ac, 0x44406fd1, 0x39530ec5, 0x451bda8d, 0xc66eba54, 0xbd0040c0,
+    0xcd59e3be, 0x2831a4bb, 0xa9652c76, 0x21a76833, 0x9e34a8bd, 0x04e243db, 0x6a322d85, 0xe42bb1cc,
+    0xc0dd7cf2, 0xd41e3353, 0x43791987, 0xf62eb576, 0x59e8ab32, 0x15f33238, 0x50ac7899, 0x0412a059,
+    0x51eadd3c, 0x009217fe, 0x657ab2ad, 0x2424743b, 0xbfe4b2af, 0x2eb5ce0f, 0x2f5e1686, 0xaac1a649,
+    0xdd97ad21, 0xb731f9c5, 0x696b19d0, 0xcc47b3ef, 0x54c93b45, 0x60029931, 0x53cf3f26, 0x73190206,
+    0x58df4fae, 0x5a74aa3b, 0xff0d9d07, 0xb80540f0, 0xcf75c934, 0xf2e41a87, 0xce008da6, 0x7d4a7b9d,
+    0xa79e8b43, 0x61b97f35, 0x223eaf3d, 0x4068c859, 0x3956c8fa, 0x5415b389, 0xf3e83eb0, 0x3b56e4b6,
+    0x82f0bcf4, 0x349e6817, 0x1045afb5, 0x07918d9b, 0x04eac313, 0xa4955532, 0xa313567d, 0x6324ab19,
+    0x2811393b, 0x98c81693, 0x032625f9, 0x2340b7a9, 0xfa7ca4b6, 0x2620b71d, 0x071ee0be, 0xd27e36ef,
+    0xb65b6e06, 0xa9f6eee8, 0x54eccca2, 0xb2b5cbc7, 0xf545cd66, 0x22717a59, 0xe817363e, 0x67fe69d5,
+    0xd484ee72, 0x20d9fbf7, 0xa33e0e51, 0x5d0cae12, 0x960fb9d7, 0x9cad827b, 0x1ceafa97, 0x3c8e8db5,
+    0x9df0ad02, 0x4372466c, 0x88f4d663, 0xcc229038, 0xf717d579, 0x8a0e3dc3, 0x12944d35, 0x5a6e77d2,
+    0x67f4f473, 0x85c25134, 0x714a0938, 0x90050efd, 0x0cec33a4, 0xc35a4c85, 0x4c9616f5, 0x747301ad,
+    0xf0d226a0, 0xddd6e8a1, 0x174ee1b4, 0xc8831b02, 0x77608c20, 0x60d7f6f4, 0x25e3060f, 0x07047cca,
+    0x865421be, 0x9ca655f7, 0x53da30d3, 0xa7f7ad32, 0x621cff58, 0x41007400, 0xabaf6624, 0xd1a9ac59,
+    0x81770b85, 0x8526f48f, 0x433db711, 0xf56cafc9, 0xd1958c39, 0xfaa4408f, 0xfc242de9, 0x2942c69b,
+    0x5562c15a, 0x27962025, 0xf5f97c07, 0xee9d39b4, 0x94027ffa, 0x2e11da7b, 0xdda8396d, 0xda4ba9c2,
+    0x849b90d2, 0xaf6dddd8, 0x4e419562, 0x10bad801, 0x07e8be37, 0xcf540803, 0x6e64119e, 0xd21a326f,
+    0xf6b045c4, 0xc0f4238e, 0x5b86076b, 0x5b0e75a0, 0x0b97b952, 0xe5de0adb, 0xe9988164, 0xd65b5612,
+    0x23f60e0c, 0x5eab1284, 0x0f049730, 0xfa1cc4dd, 0xc0d9eaf5, 0x09e52330, 0x6c04b9e0, 0x7c507202,
+    0x047b20ab, 0x3d45dd3b, 0x9964231d, 0x7361ebc2, 0x78cfdfc2, 0xc8ecfbd6, 0x452bdc9f, 0x346bbfff,
+    0xa695659b, 0x2be0eaf5, 0x452a8ca7, 0x272ceb80, 0xf0323a3e, 0xef0db7b5, 0x9cea262d, 0x5f600551,
+    0x18aa9136, 0x07ddd361, 0xf831fc40, 0xc513c5fd, 0x57f82df8, 0x9206f85b, 0xf41795dd, 0x025dab2c,
+    0xe75039fe, 0xa9bcee1a, 0xcb82fbf4, 0x80281092, 0xcaa5635d, 0x85df6261, 0xaa943cc8, 0xc004bf38,
+    0x590723c0, 0xd02b7b8c, 0xf3e57a8c, 0xd120e679, 0x485d3dce, 0x7ee33a40, 0xf325bb8d, 0xa2c27c61,
+    0x32392f86, 0x255ee8e6, 0x47059ad0, 0x6dd140c1, 0x08b9d579, 0x32e669ec, 0x90749213, 0x7c6a2489,
+    0xa7f4faaf, 0x119645dc, 0xb54548a9, 0x98d30093, 0xb433aef7, 0x6316e264, 0x5ebae6fc, 0xfd766c14,
+    0x73c28c51, 0x316dbf05, 0x1641d523, 0x07a71528, 0x6a130851, 0x5ad49273, 0xca6d87a1, 0xeb086c26,
+    0x4f4be7d6, 0xce46457c, 0x169a919b, 0xf0e2ba17, 0x5fc233b7, 0x183a0b5d, 0x9efdd925, 0x3a73ab2c,
+    0x541dd557, 0x1a5ee567, 0xb4c4a335, 0x9b5ba1fb, 0xa00eaafd, 0xf75f186a, 0x91bcbc90, 0x3a250142,
+    0x896772fc, 0x9c271691, 0xaa7710ac, 0x228294a7, 0x7f204148, 0x55b198c2, 0x9d9de47f, 0x63270839,
+    0x17815169, 0x852b00d8, 0x01d54aa2, 0xe4bf791d, 0x5a57f231, 0xb3c7169f, 0xabee5693, 0x433a371a,
+    0x011f6a87, 0xcacbf63b, 0xed50a216, 0x60ddbaec, 0x77b32531, 0x91983ff5, 0x562625bc, 0x4fd79c0e,
+    0x95bc3f5b, 0xe8659853, 0x6f5b9f58, 0x7814a0c6, 0x4d0b92c4, 0x7ecde012, 0xc06b0845, 0x9645b4c8,
+    0x00c00fab, 0x941157b5, 0x073e9a54, 0xe9ae6fb0, 0xb57c8740, 0x273cf7bf, 0x846fd213, 0xfed0947c,
+    0xd12e3780, 0xd3a70bd9, 0xc3ea7e6d, 0x2f80eb15, 0x7fe9e413, 0xae181a90, 0x7b355ce4, 0x550277fa,
+    0xf8f4a4aa, 0x54c3b080, 0xe67ef64e, 0xc92bd1a7, 0xbb882ef0, 0x306a58cc, 0x660cb7c6, 0x16a439a7,
+    0x378549c5, 0xd48271fb, 0x98429204, 0xb14f2353, 0xee544f95, 0x4046b1ba, 0xe8ce0189, 0xd5bdae96,
+    0x988a3056, 0x951e6552, 0x7b78217b, 0x272d2a27, 0x16e4ca15, 0x1980b9a7, 0xe9125f48, 0x3f59bbbb,
+    0x40e66bfc, 0x31023b13, 0xb7694932, 0xe6da7aa5, 0xb9fa5b44, 0x96056035, 0x6d90a8f7, 0x639c790d,
+    0x705666b0, 0xa68b042b, 0x1a95c306, 0xaeed1c90, 0x10aad3fb, 0xbc2e1018, 0x78a4b011, 0x6a2cf792,
+    0x75c9288d, 0x0d4ea93f, 0x4175201a, 0x41e5f846, 0x53f5b2db, 0xabc56a95, 0x07e1da42, 0x7c4b2a6b,
+    0x38fc42fe, 0x0377a030, 0x18ac2621, 0x23fe5dc7, 0x35f5e03c, 0x9489e12f, 0xe696b12c, 0x676c34af,
+    0x20f93aa1, 0x488bdb66, 0x878ef861, 0xf4667398, 0x80ec26d4, 0xbb0de1d6, 0x653fa08e, 0x66cc6fc6,
+    0xe96d4259, 0xd709221a, 0x417d858f, 0x7d081d78, 0x176361d5, 0xc3129260, 0xb5fcbb8c, 0xd3492fe5,
+    0xec685bb5, 0x871bccd8, 0xa69a500d, 0xa4c80f63, 0xed9c6d74, 0x523a9f4b, 0xaa792fd2, 0xffaf42c5,
+    0x9802cbbc, 0x1f6862a2, 0xc16cff24, 0x103218a6, 0x5e015ef3, 0xd47a513e, 0x3579661e, 0x1835f966,
+    0x09b5c5ca, 0x5f0f54ac, 0x4a73f976, 0x6acc2d18, 0x307012d4, 0xb9a11b15, 0x1103a553, 0xd15dec0b,
+    0x42935ddd, 0x788bbf7b, 0x7b4a729a, 0xa6d0a595, 0x2467e412, 0xb50f965e, 0xdb5a32ef, 0x03e9c0b3,
+    0xf80a4908, 0x065c6a64, 0x6363b504, 0xbea5da06, 0x9889b9ea, 0x1afff8be, 0xdc5787ff, 0xd2426f48,
+    0x470246c4, 0x592d4e80, 0x12de6e07, 0xe39605f7, 0x185476f3, 0xe7bab6c0, 0xc3297966, 0x113ac1ab,
+    0x724bc779, 0x8d3835e0, 0x66436bff, 0xea86c285, 0x09a9d5f6, 0xdac319b3, 0xd79e4815, 0x2d03dacc,
+    0x81582163, 0x063c9c54, 0x94865d41, 0xec8af66d, 0xbf54ffa9, 0x9d0fe196, 0x52283a29, 0xac5a6aef,
+    0x33537513, 0xe17fb16a, 0x1de99cde, 0xb7ea9b95, 0xaf5302f1, 0x9395fe61, 0x06b6d8d7, 0x46cc0375,
+    0x1b4bda77, 0x03a0a93f, 0x669fc2bd, 0xb5aac840, 0x6273c3c8, 0x15fa5c01, 0x904e10ee, 0x382d8876,
+    0xa4135c8f, 0x324645d4, 0x856e40c6, 0x0e312d6f, 0x3c441f56, 0x6bb4e403, 0x0d97653e, 0xe7884119,
+    0xe7019940, 0xe875af7e, 0x8e505f33, 0x93bbf7da, 0xfcf268c9, 0xc2f91b49, 0x44e9fd8c, 0x0710e5e2,
+    0xdd35a068, 0xec62a0e1, 0x3643784c, 0x53ace179, 0x3954c518, 0xb244eefd, 0xbe49e5b3, 0x1c02e84a,
+    0x884a1418, 0xdb9912ea, 0x2a67dbb9, 0xe1f23d07, 0x07c06c02, 0x15abaab0, 0x9bd4c2f2, 0x6fb96f2a,
+    0x0805ebda, 0xe2811838, 0x9a8dd581, 0x13576a9e, 0x65c88fcd, 0xedb8205d, 0xf06b73cb, 0x1663a5cd,
+    0x5f2cd5c6, 0xb574885c, 0xbb6a000f, 0xb1a75f11, 0xe05af2a2, 0xc14af5a1, 0xeec8c0a5, 0x0b46f61d,
+    0xf918773c, 0xf3f3699d, 0x81a9248e, 0x7a9308b5, 0x88a63464, 0x439f7ae7, 0x4876d13f, 0xfe0deff9,
+    0xec4cacff, 0xac3e0282, 0x97d14465, 0x9a53bd16, 0xfe6b1ad5, 0x14c6db55, 0xe99facaa, 0x18e75487,
+    0x7bc56415, 0x8cbbf293, 0x9c3aaa4c, 0xc3914abc, 0x4876206d, 0x820b67ca, 0xc149e4e9, 0xe821fca3,
+    0x2539b37d, 0x6d4fc2d0, 0x4bfde3c9, 0x429eb1c1, 0xf5b3521c, 0xf9228877, 0xf7a43ef5, 0x0dfe7db6,
+    0x7ce627dc, 0xd634c5a9, 0xf7900462, 0x5c834e7d, 0x0bcfb39f, 0xbc21b3fc, 0xe7638aa1, 0xacc9321d,
+    0x0c5d87de, 0x9a3eefb5, 0x98f0ee32, 0x30c4cda6, 0x3f072635, 0x93274236, 0x2fcf5a88, 0xbd8debad,
+    0xf0481f3c, 0xf18f6400, 0xd1720123, 0xdc6f2701, 0xed3f3c5c, 0xa61df525, 0xd497224f, 0xe1657db9,
+    0x5735064d, 0x66d6ada0, 0x6c30e1d2, 0x8a1aaa76, 0xcc16e43f, 0x1563eeee, 0x94f1a275, 0x55e97f50,
+    0xffd9414b, 0x811cf1d0, 0xaeabc4ac, 0x1392e882, 0xc1e1813d, 0xf6614671, 0xf1e0ba66, 0x7e5955fa,
+    0x2a287191, 0x122dc218, 0x75c0ff97, 0x0db2eb61, 0x78894021, 0xc473f06c, 0x2bb76b4e, 0x58f96e7d,
+    0x328a92c5, 0xfba810cf, 0x01267974, 0x9266c206, 0xcd5a714b, 0x7cf88b8a, 0x69c34759, 0x5314bc31,
+    0x88c7a9cd, 0x2a9f77ff, 0x741da86f, 0xeb9873ea, 0xdc330d20, 0xb7fb8e4c, 0x03b712d4, 0xbf73faca,
+    0x8a388332, 0x395d59c6, 0x575125b4, 0x7f35d8f9, 0x2a593339, 0x4b8eb397, 0x62c6e921, 0x75281310,
+    0x7d5f6042, 0x308e2285, 0x3da7f044, 0xc3e95c3e, 0x594c216a, 0x7c64360b, 0x90257638, 0x0db7c10b,
+    0x0e373d00, 0x9ac8b242, 0xe3111ba8, 0x8bed3953, 0xc6c0dfd3, 0xbd0dd1e7, 0x17710269, 0x1b35ac8f,
+    0x2dcd4103, 0x785ad41e, 0xa4f0dbb4, 0x94b12dfa, 0x925e440e, 0x412d64e0, 0xf6c831e1, 0xe0bf6f12,
+    0x89c9ede4, 0xc87df3f5, 0x6a9113ec, 0xd9a27191, 0x5035e2b7, 0x90efee8c, 0xbb8b95f2, 0x8a3378e1,
+    0x89348946, 0x572e9afc, 0x0cb79a94, 0xec2e46c2, 0x62b93f66, 0x7eefcec8, 0x0f06c5ba, 0x1e814480,
+    0xcc30339f, 0x07378056, 0x5d4eedfb, 0x9f3f2045, 0xb886c3c0, 0xb309fe69, 0xaee3abb5, 0x9cb14e1e,
+    0x1755e402, 0x392a0a87, 0x38d1bd73, 0x6fba9b5f, 0xaa922228, 0x9f4b064c, 0xa87163e4, 0xfe79aee4,
+    0x3475dbc6, 0xb5fd2a6a, 0x63460450, 0x89396737, 0xb447bbb4, 0x81614b96, 0x9779e8c6, 0xa18050b3,
+    0x0b4bfd6d, 0x2126b28c, 0x00bafa7c, 0xa574a6e6, 0x4ed13f10, 0x2ec156cf, 0x7a506d03, 0xeb4900ed,
+    0x8b9ee1d3, 0x98bd212a, 0x43c31d4c, 0x88ccdda8, 0xd420df01, 0xdcc1a9f5, 0x9816583f, 0x9669f364,
+    0xb670779e, 0x7a33c029, 0xd7d89443, 0x9a2f0459, 0xa93ddc35, 0x56c98d9f, 0xa7fad3ea, 0x6284f956,
+    0x4774141b, 0xcd6f4c04, 0x24af3f66, 0xc216859b, 0x6d17c068, 0xa17659f1, 0x5783aa50, 0xe1dbba32,
+    0x60f6c294, 0x7a425bf8, 0xe8d393a6, 0x8bb628ce, 0x86a8d3a1, 0x1dcb634f, 0x7b2c1410, 0x1dbaa51b,
+    0x9805b2cf, 0x1501864e, 0x25b35188, 0x33b9e1eb, 0x5a9ddc02, 0xf3d059c7, 0xb4279817, 0x49a99633,
+    0x25bd4827, 0xf454513e, 0x28842399, 0xe1059f44, 0x66ebf650, 0x2fbf1177, 0x342b8fd4, 0x38b87538,
+    0x68581a33, 0x82791141, 0x5a488daf, 0x6c4cba94, 0x19a44c4c, 0xbda83f51, 0x66ba6869, 0xea0868c1,
+    0xfb771dc3, 0x36b2728c, 0xa60fc20b, 0x42b45841, 0x2df9ca0e, 0xce40dac4, 0x011ac583, 0xdca71156,
+    0x788a8ed0, 0x338d10ca, 0x71cc31c7, 0xa8e32882, 0xbd84f4eb, 0x96148304, 0xe9ca1af3, 0xcbee5bd7,
+    0x13edcfa9, 0x79f2d4e7, 0x13e6cb8e, 0xc6d328fd, 0x05631b8c, 0x6db625f4, 0x8c5e544f, 0xb1c26822,
+    0xf42f2e78, 0xf6a5a4c8, 0x6205da42, 0x390c8fdc, 0x67e5ef82, 0x4d769bc5, 0x8a93eef0, 0x2641c015,
+    0xe7403133, 0x6ec10d9b, 0x213fa937, 0xac04dc50, 0x883a54ce, 0x796e9eb4, 0x8971c2ff, 0xbc649dbb,
+    0x7297ee68, 0x462fbbf0, 0x579251a6, 0x5352a2b9, 0xf9c2c1ef, 0x79dad3c3, 0xbb721776, 0xf80779bf,
+    0xdca377bc, 0x944788a8, 0xcba028dd, 0x825d8d60, 0x5abe7ab1, 0x9a8a3af1, 0x745c2aee, 0x045a382c,
+    0x8875988d, 0x50c348f4, 0xa27685c7, 0x03402aff, 0x9f5323ce, 0xd6326c7d, 0x2eec4e2e, 0xd1b990d0,
+    0xbc50fe45, 0x05359ff1, 0x2ae53aa6, 0x4796cf29, 0xf6cb57cc, 0xd60c098c, 0xc3119cc8, 0x52982494,
+    0x18f4bb80, 0x14f2fa4a, 0x29ee93c3, 0x519ba558, 0xf29ea578, 0xb7abc5fa, 0x9b2b25a4, 0x5a5902b6,
+    0x917e8cb7, 0x38110df5, 0x074b3abb, 0x81bdd8f5, 0xb7937a24, 0xbfa92565, 0x64e20ede, 0x50dcaba0,
+    0xbd641845, 0xdc1accfc, 0x1c541aaf, 0xf5eca591, 0x3ba252bd, 0xa88d8a1d, 0x6f350851, 0xf0584bb6,
+    0x242dfd19, 0x52f854b5, 0x4f2020b1, 0xddded70d, 0x9c15d622, 0x3de86261, 0x75a6f33d, 0x51e65273,
+    0x1cff70fe, 0x654d8a37, 0x92c20c30, 0x9ea48cd6, 0x5408df6a, 0xb11634d0, 0xf8797cb4, 0xbf20df20,
+    0x2793e986, 0xca174251, 0xc5e24c30, 0x48125e69, 0xac130a8b, 0x4f31309a, 0xc57d0da9, 0x1c859a2e,
+    0x43fa751f, 0x12f8540d, 0x4e1a7d41, 0xe06acd9b, 0xc34a8d07, 0x162cf2f3, 0x9651743f, 0x7a648834,
+    0xb73a03fe, 0x3c1745bb, 0xbcadeb90, 0x1143f30d, 0x9c62f102, 0x560af0d9, 0xbd475f5f, 0x3ecbe2bf,
+    0xe4ea9101, 0x83dc3c12, 0x7006463f, 0xcb58fd37, 0xd4b17f1c, 0xd0d7487c, 0x2a0cbaaf, 0x21262277,
+    0xdc3b7474, 0xc4be968d, 0xe9f175fb, 0xcfffa49e, 0xe6996b6d, 0x7e420e92, 0xb476ab44, 0x45e2d0c1,
+    0x9bd4fb90, 0x48acb534, 0xc007dfb1, 0xbfc4bf29, 0x5b9ffd11, 0x9ed6793e, 0xb4376bf9, 0xb2925f35,
+    0xa0bd5e73, 0x7c0f848e, 0x32e79699, 0x90d2116f, 0x32ce99d7, 0x6565a695, 0x0e09d893, 0xa67cf7fe,
+    0x5c65eb44, 0x53af8a1f, 0x799ae305, 0xe68bc68a, 0x1e3046b6, 0x3147bb08, 0xdf582824, 0x959e6ea7,
+    0xfdcfa831, 0x10eb1216, 0xe290ec3d, 0x8a80d700, 0x4b1bef13, 0x8d3c1f3d, 0x3910e16d, 0xcce2a78e,
+    0xeb4a59b7, 0x39be1e0b, 0x6da62472, 0x3fcca99a, 0x6ed53584, 0xd8fac93b, 0x7149f8fd, 0x31d59e03,
+    0xcb891ab8, 0x22b4e005, 0x21e5a9ab, 0x257c8729, 0x5161d888, 0x4214df15, 0xc4881e7c, 0xac1ab37b,
+    0x00000000,
+    0x675a9d22, 0xd8abfc6f, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000803469022129495137770981046170581301261101496891396417650688 */
+  { 0x00000000,
+    0x4224d113, 0x21cc1904, 0x6412dfc0, 0xabcade27, 0x21f20d62, 0xeca6a81f, 0xdbb01587, 0x975ebf0c,
+    0xeb9be9ad, 0xb032e70f, 0x26aaecfa, 0x688cd283, 0x65684123, 0x50e9fab9, 0xfac6a75f, 0x73223407,
+    0xe1f5dd82, 0x0e35b7ea, 0x52f3d4e5, 0xea2a295d, 0xc6377642, 0x2093a34f, 0x1030c57a, 0x680e3c69,
+    0xcbbb2c49, 0x27cf1a4e, 0xf0ddb1f5, 0x150ea53c, 0xb68a944e, 0x14604327, 0x55b05593, 0x69533774,
+    0x5588193a, 0x16e7c9b1, 0x3a229a14, 0x4463d050, 0xfa3b6dc9, 0x53638a62, 0x4979c8b9, 0x10b504e4,
+    0x9f1847f4, 0xbe9b31a8, 0x539dd758, 0x82eb3785, 0x9369517b, 0xee96efc8, 0x3264a6a2, 0x17d240d6,
+    0xb68b49d4, 0xbc6790a4, 0x9b688d9e, 0x71e48808, 0xa45f03c9, 0x02728d7c, 0xf211cec7, 0x226379a0,
+    0x78e3b7a0, 0xb636a1d0, 0xe7a88e18, 0x5f910000, 0xca0660d6, 0x645dba1f, 0x7615c929, 0xda3ec3dd,
+    0x98c5adee, 0x6ec95d25, 0xa640c7dc, 0x7d18f136, 0x147a7781, 0xb3efc57c, 0x9475850e, 0x0109a971,
+    0xa4a0a4da, 0x24e00cfc, 0x7737a8a5, 0xbf8e4233, 0xd1c1bfe7, 0x3efb2ce5, 0xcf929ffc, 0xb6217653,
+    0x68aa0065, 0x363bdbf4, 0x1b728d9a, 0xe9846712, 0xcf153e32, 0xbdf5d298, 0x38dbd143, 0x1994a20b,
+    0x95dc8e61, 0xed952893, 0x49d2ecda, 0x9b58cf9f, 0xbdc5fb41, 0x4908a748, 0xd0185d73, 0x581f87b6,
+    0xe21d1327, 0x03230872, 0x762dcd65, 0xf0224a0b, 0x6e2a46b4, 0xc1467aec, 0x495776d2, 0x99f8da75,
+    0x3fc528f8, 0x8a0ec0a3, 0xbed16af8, 0x1ecf8313, 0x4f4e6e35, 0xee42cae6, 0xdcfaabc4, 0x127e3803,
+    0x7ae69e35, 0x389578a0, 0xe049edb5, 0xc5efeb78, 0x20a093fb, 0x92ca8352, 0xa890cdda, 0xe20c0dd2,
+    0xd682a1fb, 0xba23c489, 0xfccfd52a, 0xd3e90087, 0xf8124d5f, 0xcfb89b7b, 0x0eba85af, 0x2df3084e,
+    0x415c008c, 0x8a0752f7, 0xb7c6d9ef, 0xcbc443d2, 0x36025a08, 0xa23d86c8, 0x8e516c39, 0xc30985e6,
+    0x3412528b, 0xae7cf4e3, 0x71cdb7bf, 0xbf79a52d, 0x74ce723c, 0x35bc7a34, 0x30744b7d, 0x8474c9d2,
+    0x80a48b00, 0x9b8a9de8, 0xf2dca69a, 0xb7cd2cc5, 0xd49e5f6b, 0x0efcb114, 0x0ce31d2d, 0xed837da8,
+    0xdecc9813, 0xd7408f73, 0x1ebe05c0, 0xa47e8d71, 0xab013178, 0xf5532428, 0x7f4a5ec2, 0xc6520d85,
+    0xf8a5e8f4, 0x39a170c4, 0x626fd259, 0x00d1e368, 0x60fe2d15, 0xe2bdaadf, 0xeb402228, 0x43499970,
+    0xe6c77e2c, 0x058a6a2d, 0xc7c6f2fa, 0x75ed42da, 0xe245b72d, 0x5cce3cdd, 0x30b44075, 0xf5ec6354,
+    0x3b93015b, 0x10e01f2b, 0x3e3f4a7d, 0xc5ef7640, 0x52d9532e, 0xa5bce78f, 0xd1d71994, 0x17d30a90,
+    0x51c559e2, 0xb1176f37, 0x401ea5e5, 0x4e234925, 0x3db9ae83, 0x990ca00d, 0xc985c3ce, 0x5c7aa94a,
+    0x936ec937, 0x34c3113c, 0x716ff555, 0xcbfca799, 0x106cd3e5, 0xfe1630c3, 0xf346ea74, 0x93affb4f,
+    0x493f29dd, 0xdc74fa11, 0x2e5583db, 0x2d3cfc02, 0xa87fe650, 0xc0805bbb, 0x354ebe87, 0x7f04a36d,
+    0x888abd74, 0xe0ec70df, 0x311a9e43, 0xd2489368, 0xf21baf48, 0x3f38a882, 0xf9d7e457, 0xc6f1bb27,
+    0x24655c65, 0x742ac89b, 0xbaf24682, 0x6ab8c134, 0x2de946fc, 0x6224a679, 0x412c5dfb, 0x4297c9c1,
+    0xf0007030, 0xe4e7088d, 0xaf229751, 0x447564a9, 0x1381b1b3, 0xefaff256, 0x288d73c9, 0x7bbc684e,
+    0xe4c9df97, 0x445d9e9d, 0x5248ebc3, 0x29b8eedc, 0x5a93727a, 0xdeb622ab, 0x4f1e7e01, 0xb18ad3bf,
+    0x22da57f0, 0x683c930a, 0x21312166, 0x4b629c92, 0xdc012584, 0x4b2c79cb, 0x6ab69335, 0x5ca8af19,
+    0xd81f9bc0, 0x22c83135, 0x048c00bb, 0xd510968a, 0x1bfd28e7, 0x24adc48a, 0xac2d72ef, 0x0e6dfa60,
+    0x6adc7f79, 0xe9145e69, 0x1d666792, 0xb0f15bc1, 0x4de5da87, 0x77f9b2bd, 0x55e38c12, 0x2efa93f7,
+    0xb44136bb, 0xbc4025c9, 0x710a0238, 0x9742a023, 0x4c7e1bf5, 0x7df7f9b8, 0x135ec2ab, 0x1f5336c9,
+    0x9bce9bda, 0xc213b5ea, 0x7e7acaa6, 0xe601f7bf, 0x8223e68a, 0x2d270e0d, 0x64c7acf3, 0x8f7c27f0,
+    0x85fd762a, 0xbbe27ba0, 0xa8d04846, 0x1b7a0389, 0x56d848d4, 0x79d76877, 0x3aa09e30, 0x4783e105,
+    0x8ae4ed21, 0x88548bfb, 0x6625bbeb, 0x883e0fb0, 0xe57958c6, 0xd6bc88f1, 0xeb1c935a, 0x13ec0d7a,
+    0x4ab74332, 0x5cd3092e, 0x33fff09f, 0x0e7f0dc6, 0xcc8f24b4, 0x2237e26e, 0x8d629a9a, 0x18d5facb,
+    0x7ace677c, 0x47e2437d, 0xd13fe7bf, 0x6b08070e, 0xa54fbbd5, 0x5c2d7754, 0xb941ab4c, 0x1b1c0d24,
+    0xad7854fb, 0x3f216997, 0x45b02f1c, 0x17f25829, 0x8113b42c, 0x475d56e7, 0x0eff0f1a, 0x7676d42f,
+    0x361f5705, 0xc5e5b596, 0xe04917e6, 0x40c9234a, 0x64574c17, 0x9523f36d, 0xec2db68d, 0xb4da5736,
+    0x7e9d1d82, 0x0232f99b, 0x402d2d94, 0x9df0c9f0, 0x37de8a97, 0x671ba23a, 0x0f0087d9, 0xa2014f3b,
+    0xf0910346, 0xa67992f1, 0x35274e2f, 0xbb416b1f, 0xbf33510f, 0xfa668e97, 0x5e5de848, 0xb82415cf,
+    0x6c8508ad, 0xb27d8d01, 0x9c7dffd5, 0xaed40500, 0x13f9f089, 0xc76e6d18, 0x78215ecd, 0xbd1b4bf6,
+    0xa50fec4e, 0x22cc051a, 0x4203e2bd, 0x4c055a20, 0x6a201b0a, 0xf12f49eb, 0x79eedf51, 0x764285b6,
+    0x7ce4db28, 0x17a76e29, 0xdb98d7b9, 0xb285edcc, 0xdf8a3011, 0x773f4ff9, 0x67676593, 0x1a1c4338,
+    0x43fcfbac, 0x10f2dda4, 0xe56436e4, 0x8a16ba72, 0x3772d481, 0x089ce5d5, 0x10232b47, 0xa11b38d0,
+    0x21a2f1e5, 0x2d5eadbf, 0xeb632441, 0x81b15735, 0xb0e0b4a1, 0x7b66f603, 0x30a24f82, 0x3bb5a867,
+    0xe51b1b5c, 0x2409b8b3, 0x4ef57187, 0x16a94c7a, 0x16ea2d6a, 0x70b30576, 0x932894b5, 0x3db830dd,
+    0x6af376bb, 0x7a39a61e, 0x590287d0, 0x145a1ed1, 0x1f5b68bd, 0xa08925e5, 0xdcda61c6, 0xaf0e5a19,
+    0xb580c1ef, 0xe6487cae, 0x8c7a2fe0, 0xcc87b76e, 0x4c9c519a, 0x25cb1574, 0x5bd3a2e9, 0x61cc8dba,
+    0x814e60aa, 0x43d3719b, 0xebc78e6f, 0x044fab9d, 0xb890f03a, 0x094e12ad, 0x69a213a7, 0x4ce9905d,
+    0x73ed5e7d, 0xe7db790e, 0xf827e878, 0x8ce7116c, 0x809c950b, 0x60ba4e43, 0xdd605aeb, 0xae0a87ac,
+    0xc24d87ce, 0xe9a7488f, 0x7bb8d254, 0x6db954c2, 0x8e6f7549, 0xe1a8d8e4, 0xea33d234, 0x3003f16b,
+    0x87fa04f9, 0x74a7c23c, 0xeac7e41f, 0xa90ebbbe, 0x8369aa7d, 0x0b1f0d7d, 0xd0cc2283, 0x9dcca3c0,
+    0xee3e6bae, 0x84745f39, 0xccf461f4, 0x5f4fd7f5, 0xa9ffd83f, 0xdbeda189, 0x5ac6b330, 0x790cca30,
+    0x249940e3, 0x44d0cdd4, 0xff536941, 0x73105962, 0xb8de3977, 0x997cdd45, 0xc24a09be, 0x0d87a398,
+    0x5f303ce8, 0xb65b41f5, 0x587c37de, 0xe91e5995, 0xbb4ef82e, 0x7f278dd4, 0x8d7dd9cb, 0x5584ff3c,
+    0x62379e59, 0x0f2897fc, 0x6f35ca29, 0x1933695f, 0xc8f011db, 0xad008b16, 0x1f996438, 0x4a437e37,
+    0x359fd674, 0x2fc06f6d, 0x9099c42f, 0x63f7b5b3, 0x664cea58, 0x0fa449a8, 0xec342614, 0x5d0cd9b0,
+    0x79d1686b, 0x2fa4d341, 0x9e6c251c, 0xf08b3ef3, 0x80831626, 0xffb7e162, 0x657d1969, 0x86aa7a78,
+    0xf97e388c, 0xb411063b, 0x9a3dd32e, 0xbead6050, 0xe565e4d8, 0x5d1bfc10, 0xbfaa656f, 0x1f8868e7,
+    0xf0323934, 0x121c3206, 0x87f125c7, 0x5c86288f, 0x2a614e34, 0xd33bbfba, 0xa46bfa84, 0x54644d24,
+    0x49c8c17f, 0xf6418480, 0xc7c51bdf, 0x4909108b, 0x0866c155, 0xaa0427fe, 0x8a291ddd, 0x6b142e16,
+    0xcf205ec5, 0xd1b90ddc, 0x9dca6fcd, 0x909379f0, 0x26552882, 0x6ac48f24, 0x4e5de4a2, 0x9228df52,
+    0xee21ecf2, 0xb08ff5d8, 0x565e841b, 0xe806f3b2, 0x6dc75de5, 0xee1c519f, 0x062f5e92, 0x099abe60,
+    0x901b4e42, 0x3fcd4455, 0xadb974c8, 0xb68b879b, 0xc8672a4d, 0xc5e6b9ab, 0x3fe084da, 0x81758d5b,
+    0xf4c62053, 0xd85ceaa1, 0xa485535c, 0x2807874e, 0x40f43b27, 0x2d12f8b5, 0x0ebf584a, 0x2d150714,
+    0x0ce9aff2, 0x05915641, 0xcc83ee80, 0x052e2c19, 0x5b9cc2ac, 0xbcc6a52b, 0xd5d2dd18, 0x6c865bf0,
+    0xaf7202ae, 0x25f25ed3, 0xa5af5b1a, 0x1ea75071, 0xb19331cf, 0x4412575a, 0x6022119e, 0xcb5b3396,
+    0xc3c599ea, 0x0a3d4a5a, 0x89d7d56f, 0x1684444e, 0x2188556d, 0x878eee02, 0x2995697a, 0x93bd0166,
+    0x894443bc, 0x640e804f, 0x38ffba51, 0x4c3200b8, 0x89bdb82f, 0x7ebbdeeb, 0x75e5cb0f, 0x7062c463,
+    0xd9a82085, 0x5c403e08, 0x7bd41478, 0xdd57a91e, 0x56157817, 0xecd815a6, 0x6d538d41, 0x5fa64198,
+    0xdaf8bba6, 0xb3792e79, 0xc5c93cc5, 0xeb613288, 0xf8220998, 0x8095bfaa, 0x76bb92a9, 0x652d4c07,
+    0x5cf1575a, 0x7e06bbc0, 0x55ac6478, 0x063079e9, 0xbc37f982, 0xbf44da72, 0xd5925ad5, 0x63823096,
+    0x8452ac08, 0xabc2ed91, 0xa135db2a, 0xe9a53258, 0x754757fe, 0x27f1945c, 0x3994dddf, 0x0c8fdf85,
+    0x5d73c6f9, 0x0c582fc2, 0xcda3b53a, 0xf8bf9531, 0x3711033a, 0x4d21a31b, 0x2d733797, 0xeb321290,
+    0xe2113b41, 0xd78ff972, 0xf70617ba, 0xe18ba9ce, 0xd3f96439, 0x7d64bcfe, 0x42c5dc87, 0x53758eb0,
+    0x404caec8, 0xd56704b3, 0x157ea008, 0xc95bc695, 0xebcff1f6, 0xeae969d5, 0xc978b0b3, 0x42887ec0,
+    0xbbc9870f, 0xa81969a4, 0x45a51b27, 0xd04c11c3, 0xfa8b8dae, 0x362c0804, 0x0042c05b, 0xd884ed0a,
+    0x42229c9e, 0xd2381f10, 0xe4c46fee, 0xc2813f41, 0x26270e52, 0x3c2e3cd9, 0xaf9e4b87, 0x926c01c4,
+    0x64fcee7a, 0xd7e6f177, 0x3a90e40f, 0xa8b6cfcd, 0x0ab0de43, 0x93f3eabc, 0x7189ee2a, 0x1b0e9af1,
+    0x1a5716fc, 0xcc03e3ea, 0x7ee73c80, 0x23df5d91, 0x6ff4bdf7, 0x837e1a42, 0x38502fde, 0xac3aa6a6,
+    0xac5176b3, 0x81059f68, 0x7c3f550a, 0xcbe36b9b, 0x78d7dc84, 0x632e5c58, 0xc4f868d0, 0x6eaa208e,
+    0xe63cd45f, 0x1e593b10, 0x75170c7f, 0x69eb3c1b, 0x38b12fe8, 0x534ee8e7, 0x7e1bfd2b, 0xa25d6a34,
+    0x582514ec, 0x017aada4, 0xc3612343, 0xa7cd7d08, 0x0cc06cb2, 0xca07e05e, 0x9958e226, 0x24153bc9,
+    0x125a29ea, 0x1adc0307, 0x02a7b208, 0x177ec0b7, 0x9bf88b99, 0x6f162357, 0x82a1f821, 0x4b7683c4,
+    0x68b72c30, 0x25cbc926, 0x96b1548c, 0xdb0a2274, 0xaa8fc19f, 0x75cee1cd, 0xa32afead, 0xfd908f0b,
+    0x0ebc3048, 0x3dbcc00f, 0xf3daae24, 0xd63cfdce, 0xd39f1d5c, 0x1485f347, 0xc9f18e2e, 0x7afb074f,
+    0xc91f8a4f, 0x18775600, 0x06437622, 0x2cf6cf62, 0xa76ef933, 0x5832b589, 0x6fe9f5be, 0x7286c3c9,
+    0x89e94e90, 0x78e79247, 0x98bdd672, 0x4bc73e86, 0x7e8824f2, 0xeec8482b, 0x4e016d91, 0xd5264832,
+    0x83c76ee6, 0x4ec1ce91, 0xd0c60a9a, 0xfe18d457, 0x75a4261a, 0x6b3a2a59, 0x9b7bf53a, 0xe3efbfb7,
+    0xe91b6cf6, 0x0b63f6c0, 0x332f9159, 0x3a4492fd, 0xa0506d20, 0x3c08fd22, 0x1a72c377, 0xebb71b4f,
+    0xa9e1637a, 0xf1cfcaab, 0x3f78de57, 0xb22546c3, 0xaff8ef4d, 0x05206e33, 0x71e0ef83, 0xe819557b,
+    0x124f8662, 0x5cef0170, 0x31b549ac, 0xfc80d8b2, 0xe54df11b, 0x5531d4e9, 0xdc60dd6e, 0x9202fcee,
+    0xf7d41356, 0x880b1c2d, 0x19f3a589, 0x7dde8513, 0xc01064d0, 0x99fe4516, 0x1aa8d30d, 0x3eef3ad8,
+    0x79aef8f3, 0x97049c01, 0x261ade0d, 0x02d7b530, 0x7144b185, 0xdfa50541, 0xc40acec7, 0x3eb989ab,
+    0xa6d5b119, 0x16ce92b7, 0xcb91af74, 0x1775b0ea, 0x5897f986, 0x1197970e, 0x8de773bb, 0x9c543269,
+    0x743baae7, 0xae2cc654, 0x0a7d9df2, 0x30fab03f, 0x5fa60e2d, 0x6c999e60, 0xd6c3869c, 0x6db7e90f,
+    0x0e1388e3, 0x68e885d1, 0xdd34f0ca, 0xf053f94f, 0x4fca67c7, 0xc0da85f9, 0xca564522, 0xbb32efcf,
+    0x8a6a4837, 0x376e91f4, 0x38ffe74e, 0x37fba0b9, 0x122d2a3d, 0x831e4f63, 0x67dc7742, 0xb30816a5,
+    0x2f879dc8, 0x6d41810e, 0xadf06a6e, 0x68a07a83, 0x49a1beb9, 0x5bb1f139, 0x76e79d17, 0xa1eded52,
+    0x0b46c8bd, 0x1a494d59, 0x20ec4acc, 0x57b14fb1, 0xf61993f8, 0x7526944b, 0x34d17a2f, 0x3a262238,
+    0xdb6e6e24, 0xc9bfcfd9, 0xc9bc3210, 0x768f1d7d, 0xf6df5217, 0xd5a90430, 0x00993ebc, 0xe4d39429,
+    0x48205f24, 0xb3d2133e, 0x55bbc06e, 0xac9a6ab6, 0x57d87d78, 0xdcfa680d, 0x7c05d737, 0x9a16215d,
+    0xa4f374c0, 0x1fdd31f2, 0x59a5c6f0, 0xa98a3369, 0x4b306a3e, 0x27f58340, 0xdbba60bb, 0xa672bfc2,
+    0xafa21e5a, 0x39625b52, 0xd743dfb4, 0x95c8d42a, 0x5e1946d4, 0x389da1a6, 0x062c6c9e, 0x9b18d48c,
+    0x4adc16f5, 0x31ead9c4, 0x12904622, 0x52ba78d0, 0x282fbb6c, 0x2c3b5e6f, 0x0e42e792, 0xf6876b3c,
+    0x8c39d348, 0x154388ca, 0xf563dfa1, 0xe7cc863d, 0x75882979, 0x4352567e, 0x35e30d9e, 0x02946aa8,
+    0xcd6a8b54, 0xffd049e5, 0xcd2a18c6, 0xec88a7a4, 0xd8557334, 0x4cf82642, 0x41c74b06, 0x1d5a1799,
+    0xf82f184e, 0xee3e3bab, 0xa22a291f, 0x7888c1d4, 0xe263aa20, 0x8aa11da5, 0x9776e3b2, 0x988c725a,
+    0xe1947d7e, 0xcd93ef32, 0xd244db05, 0x5ca2eae1, 0x918a009e, 0x6e106172, 0xd84f0a2c, 0x22b86082,
+    0xb5a939e6, 0x2ea4ca63, 0xb035a1ea, 0x24aeca3e, 0xc4da6e18, 0x9a679b61, 0x9f15e1ca, 0xb587b19f,
+    0xc35e63e6, 0xaee7501a, 0xfb7eeaba, 0x2e2bb841, 0x7c5ac1e6, 0xa7d4423f, 0xa8560717, 0x8b124a55,
+    0x918b6975, 0x4d4d6a6e, 0xdb132d0e, 0xe66be755, 0x782b706d, 0xbf931ff5, 0x0583633e, 0x047d4898,
+    0xba1b560b, 0x020b608e, 0xd5ade253, 0xec3a4953, 0x484650f0, 0xb2915bc6, 0x75958885, 0xa9ac2739,
+    0x42ce86c6, 0x29b13d01, 0x18c08cb2, 0x68910714, 0x80cea5df, 0x8d322b4c, 0x0c69b568, 0x48d53f27,
+    0x30d9bec6, 0xfe0ce4f6, 0x9d7bec89, 0x4e764e04, 0x8c12c8c3, 0xe595b653, 0x2f0592ca, 0x5d82a32e,
+    0x275bae3b, 0xb03d701f, 0xc9a8be14, 0xb94c6a35, 0x0ad08188, 0xb7e2ab04, 0x229daab0, 0x59fe6771,
+    0xe8af9ea7, 0x87f6ae0c, 0x9c66a038, 0x643e3ba7, 0x9aadc869, 0x565738f3, 0xdbc3746b, 0x1c22f12c,
+    0x985ac160, 0x2c89f8a7, 0xb7b07f2c, 0x8c04fd37, 0x1e51c040, 0xeb01bf94, 0x7fbc7a61, 0xc6b5c79a,
+    0xc70f1625, 0xc1d5c467, 0xf652e328, 0x21910766, 0xcfd358d4, 0x2776e7e1, 0x3a3feb86, 0x1271e629,
+    0x880277d7, 0xfb27c4cc, 0x0cd182a0, 0xe80227a4, 0xe38598ac, 0xc6c8df97, 0x26564768, 0x4842709c,
+    0x7c7e50dd, 0xb5bbacb8, 0xd01081ba, 0xef9d5f65, 0x7b89d370, 0xaf51de91, 0x6a890d63, 0x87866dcc,
+    0x0a88edf5, 0xd143831d, 0x581a45a3, 0xc232b6a9, 0x97ad4e5b, 0x2196b9e9, 0x44b6c4f0, 0x6dc911c8,
+    0x1f0a0767, 0x8446b414, 0x55ecfee7, 0xd71fd486, 0x9a81f217, 0x6326696d, 0x3eb3c982, 0xd1e6d24a,
+    0x00000000,
+    0xb3ad4e90, 0x6c55fe37, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000401734511064747568885490523085290650630550748445698208825344 */
+  { 0x00000000,
+    0xa47ce962, 0x85998c16, 0xb4b5b380, 0xcaf046b6, 0xa1c9bf1f, 0xd3666522, 0xdb953939, 0x98dfc6f1,
+    0x8b580a55, 0x81da4a03, 0x82311c9e, 0xded48273, 0x81945663, 0x4b049a69, 0x686e3c49, 0xbeac5591,
+    0xab92fbfa, 0x41aaf687, 0x8ed06f14, 0x38e87a6c, 0x4145ad9a, 0xd77586ce, 0x746076be, 0xac836c61,
+    0x0344163f, 0xb08d8931, 0xf40fb737, 0x6247961a, 0x7cf3bf53, 0xe2a674da, 0xf87ab256, 0x31a1de58,
+    0x4d09685a, 0xbb385f13, 0x351c731e, 0x8a8631c8, 0x1fdf8e49, 0x1f9e4466, 0xb1d5121a, 0x36ff2396,
+    0xd05129b5, 0xbb8a9c89, 0xf923e2d5, 0xd1abe4c2, 0x873ea6a4, 0x7ca8c5a9, 0x0060b46e, 0x534776b7,
+    0xb401df13, 0x32b16535, 0xfaeca475, 0x7b43f1c1, 0xc208e41d, 0x885417ec, 0xa6209e89, 0x89a8fc6e,
+    0x7306cbea, 0x6ea5e036, 0xff4abe09, 0x308669e6, 0x69683105, 0xd0e917c3, 0x0ad7df06, 0x22090011,
+    0x8b13e4dc, 0x61b052ab, 0x2418213d, 0xfaa937ea, 0x4f911756, 0x6aeef015, 0x8d4a8d0b, 0xf0c8b9c8,
+    0x67e4a022, 0x32463ac1, 0x041f5372, 0x3af39bea, 0xf57ec118, 0xe268e079, 0xd9b47b77, 0x5deef72b,
+    0x59520827, 0xaee33d64, 0xe19947ff, 0x684b3125, 0x74f18f60, 0x6d93432d, 0x05ce244a, 0x4a27efd0,
+    0x7074919d, 0x0881fa78, 0xbf255545, 0x88fe8446, 0x8d3a64cb, 0x0f7fc6c8, 0x9d8ec90a, 0xd0e40838,
+    0x05758423, 0x0e5c0a8b, 0xa2fd8b68, 0x54932dd1, 0x1aff5154, 0x4214bea3, 0x13ef3603, 0xca0d24d9,
+    0xbd2ff683, 0xaadadbcd, 0xd1255a37, 0x35fbeb81, 0xcad72441, 0x03181868, 0x71e4771a, 0xe43583f9,
+    0x216732a4, 0x606defa8, 0x4a11d9d1, 0x7d0ff968, 0x4c7bbb07, 0xf044f56a, 0x640595ad, 0x6461a8ab,
+    0xb043e6d4, 0x398c3db5, 0x3afcb7ca, 0xec7a5355, 0x17a8be81, 0x77e1935e, 0xef78db97, 0x5b5a0579,
+    0x9596d2eb, 0x3796c39e, 0x9d96e1e6, 0x0a409284, 0x5d947d59, 0xd0b777e8, 0x279fa7c8, 0x890f91b3,
+    0x0d1e4a88, 0x73832270, 0x2587c509, 0xe54006ae, 0x4681ee95, 0x26a3ef03, 0x5853351d, 0xaf63423e,
+    0x8915959c, 0x1d86f426, 0x282c728b, 0xfea084ff, 0xa6120d1c, 0xb6fe3454, 0xbd55494f, 0x44d2e7d1,
+    0x58b3d07f, 0x5604fd3d, 0x043e1982, 0xa68e36d4, 0xef29c024, 0xb1dd40c0, 0x65870eb9, 0x6232e91d,
+    0x5e7b3dc8, 0x888fcc5c, 0xd2a5fb76, 0x8f538b19, 0x7e779820, 0x0c7e84c8, 0xa93f4ee6, 0x84597f95,
+    0x9c73af42, 0xe3c314cd, 0x98526aed, 0x355cc815, 0x5532cad4, 0x1c59d5ef, 0x9b975f9d, 0x3ba2b3b8,
+    0x8e3ca0c7, 0x563ba67d, 0x37309d04, 0x4194b7d1, 0x1870d374, 0x864cf9c2, 0x9efb15cc, 0xa5e83cbc,
+    0x06d3b9e6, 0x8761f79b, 0xd5ded33b, 0x3ec57e65, 0x38a4d458, 0xd7a9bfdc, 0xf70db731, 0x2037f916,
+    0x89542a40, 0x9e830bd2, 0x146a6984, 0x8a9d7893, 0x887effd8, 0x0989c944, 0x700accc8, 0x9b3796aa,
+    0x66448883, 0x97ddb07c, 0xdd4ca3c0, 0x63cae7e9, 0x18a45f83, 0xcbe81a0e, 0xa9987be3, 0xa0f39505,
+    0xb6bfdb04, 0xbe1efa8e, 0x2eeb28d1, 0x0f325fc4, 0x45829439, 0x2266616a, 0x47121cc7, 0x5e2156de,
+    0x47069f2d, 0x1291afa5, 0x21344d67, 0x4ee23170, 0xc065037b, 0x5fb7985e, 0x86334d99, 0x6bf442ab,
+    0x05344b5e, 0x81d94b7e, 0x4e33bd3e, 0x09b46436, 0xf0ed8cd0, 0x2c0c931f, 0x4b54f992, 0xa5bf4d53,
+    0x25b71e4b, 0x29de33b6, 0x90cb6d7b, 0x87eb60f0, 0x995b77cd, 0xd28945e3, 0x23d4e3ba, 0xeca6a483,
+    0xd4a9dcc6, 0x6e9c721d, 0x93ae3267, 0xa44b98ec, 0x8bba1b66, 0xcdfcbf85, 0x7f1f98a8, 0x6f857dea,
+    0x173d4f43, 0xe0d8e588, 0x5fa22353, 0x000289cf, 0x11700793, 0xa1c3c3fd, 0x2c9b308a, 0xfe3946ff,
+    0x0658dc9d, 0x3805453b, 0x3d97eadb, 0xbb7f7b85, 0x34ac8788, 0x701f43e3, 0xd4872380, 0x99f253d3,
+    0x876f6526, 0x098b3bc5, 0x6920f921, 0xb1f67431, 0x24cc7777, 0xc30c9aa0, 0xf4c1e46d, 0xf729483f,
+    0x8dffe3e8, 0x33eaff87, 0x8d744152, 0xa1d15b93, 0x34e42abc, 0x2fbe75df, 0x1b660de5, 0x747f825a,
+    0x67bfd126, 0x2824c007, 0xcd49a9af, 0xd11d5a61, 0xa0c832f0, 0xbad939bb, 0x381b92a4, 0x9026569a,
+    0xd3db5532, 0x073b00c3, 0xe5e8821f, 0x2af42ed6, 0xa2588f14, 0x2b156074, 0xfc3a1593, 0x22d713b7,
+    0xd074f33e, 0x77975e8f, 0xd2908517, 0x88e3df62, 0x752ef4b8, 0x3475791f, 0x11b127fe, 0x79b95232,
+    0xf1d06d26, 0xd9902c46, 0x66afd676, 0x91ca3563, 0x1f5f5583, 0xe6de90cb, 0xdd071a90, 0x16a2b055,
+    0x412efc8d, 0x34fc7f1c, 0xb79ebbd6, 0x90c5fc09, 0x50de6651, 0x94222793, 0x531f81db, 0x82ebc368,
+    0xef69c3fd, 0x4a5a87e0, 0x9e74b5cc, 0x910f3f47, 0x22c9c338, 0x45d6d5c3, 0x15328753, 0x638f8fcc,
+    0xa5cc6103, 0x80582030, 0x471690a7, 0xf55b5b6f, 0xe66d686a, 0xd1157f1d, 0xa727ece1, 0xf4b116bf,
+    0xdfbb5d7b, 0x3b99ce19, 0x0f450971, 0x34fd8081, 0xdaa5b918, 0x7c3419c8, 0x203dfcd6, 0x18df831a,
+    0xa8e24226, 0x88be1687, 0xa8731ec8, 0x6850d41c, 0xa2e99a09, 0x05693118, 0x04d8099f, 0x754e7743,
+    0xc701db41, 0x02f7ebb0, 0x457088c8, 0x56696587, 0x0da2db9c, 0x491e242d, 0x11800a27, 0xa78b5f8f,
+    0xaa6c809b, 0x5500801f, 0x157a8465, 0xc52822a4, 0x7f39e6e3, 0x3c40584f, 0xffe09c17, 0xad262406,
+    0xa98eb513, 0x97c0ed5d, 0xd952f65f, 0x55f2f50d, 0x18bac5f4, 0x3f1c8a09, 0x93730400, 0xa11ebd6d,
+    0x31932a7e, 0x2c7c29eb, 0x5bfd0fee, 0xe4c13ab0, 0x05f5ec0a, 0x81b6bf32, 0x1c6e0097, 0xb5ddb7d3,
+    0x7a88e72c, 0xfdbf18a3, 0xec13e973, 0x57ec6a0b, 0x0e9a7e82, 0xb1da8600, 0xbb5f039e, 0xfe52e2b9,
+    0xe941e30c, 0x90dc8fee, 0xc84d5e2c, 0x1d72073e, 0x7713d34c, 0xe3d704fa, 0x5837cc92, 0x373b336d,
+    0x01115039, 0x109ac959, 0x00c2279f, 0x8d4ca85e, 0xee57ad1d, 0x2d35decf, 0xdfc18043, 0x4e8b2e2d,
+    0x13b887a9, 0xd962dddd, 0xb586d4d7, 0xe225ab9e, 0xa5611c96, 0xe8078116, 0x738c8198, 0x2b1c823d,
+    0x22cda726, 0x8f157fdf, 0x27237b9f, 0x285fa4f6, 0x48718a85, 0x691d09a7, 0xc558bd60, 0x5c0dfede,
+    0x4dc5b9f5, 0x43123883, 0x1a787ec7, 0x9f17dfe1, 0x32288608, 0x46e07c75, 0xef0f1331, 0x36c96679,
+    0xe7e31ec8, 0x4b2b195d, 0x1d652d19, 0xc98e1971, 0xc4f7e9f4, 0xc97ece52, 0xec9a12c6, 0x51cdb210,
+    0x0aaa0fb4, 0xaf02611e, 0xed5168c0, 0x7f929a7e, 0xe2b1d11b, 0x60a93c72, 0xbec9e0f2, 0xd3570847,
+    0xf77cd86c, 0x40057d82, 0x1da02370, 0x0e7b1a93, 0x6fd42aa6, 0xba5232d3, 0xe1e1fd02, 0xbd88846f,
+    0xeef93e4a, 0x4397958b, 0x5257898b, 0xbd34d5d0, 0x66594957, 0x0c077bd4, 0x0552ec4f, 0x5ce0e2a9,
+    0x4b4fb053, 0x0cc78edf, 0xee403671, 0x1043dc68, 0x6bb89d97, 0xddf368ca, 0xe970244f, 0x02d381f6,
+    0xdf20e6ad, 0xf556b71d, 0x83e4262d, 0xfe931e05, 0x3837b705, 0xaf4497a0, 0xbd10bd23, 0x466dcc04,
+    0x8ffc0fea, 0x65e60a6f, 0x3873f3ca, 0xc2cc9a59, 0x2613c538, 0x2ec864d0, 0x0d7c81f8, 0xe0ad4797,
+    0xb0f2e41c, 0x86a68d5f, 0xefb2f121, 0xef375e26, 0x339c0b23, 0xa1c4d3bb, 0xe155087a, 0xa55f80dd,
+    0x237676ed, 0xea53b3db, 0xbab16199, 0xdab8c6bf, 0xf43ba6b9, 0xd43f048a, 0x1bc9d151, 0xdba15011,
+    0x5cc34e1a, 0x044d3015, 0x62750ed2, 0x6635fdce, 0x1b6c24d0, 0x26b9e2d7, 0xc8b9f65b, 0x6d2d5254,
+    0x76cdb9c3, 0x42eb36cc, 0x2786c695, 0x9a2d95a6, 0x3fc67db7, 0xd6437c7c, 0x5a6a6da2, 0xf86e086c,
+    0x2ed675ce, 0x1cc5c74b, 0xe8bca945, 0x2f326ded, 0x2d73bbf4, 0x98aaad2c, 0x96e2fe18, 0xf900acaa,
+    0x2c37a45c, 0xe61a0ef5, 0xb49fab04, 0x25abb236, 0xa8928826, 0x8b0e5d38, 0xf5fad066, 0x85e385d3,
+    0x070a8677, 0xb97f36aa, 0xa762aa66, 0xcf42eda1, 0xdc63f8e4, 0x53b2bf0e, 0x1592c03f, 0x7a8ca247,
+    0x14c6af28, 0x2691a21d, 0x95729577, 0xb796065c, 0xdcdb3f6c, 0xc4409a7b, 0x9d9adbc6, 0x295f8b19,
+    0x71910bf2, 0xaf5341e3, 0xc6fe0025, 0x9843d3af, 0x5808b207, 0xac80f367, 0xb10fdb1b, 0x51bb6cd3,
+    0xaed0b786, 0x37c308c6, 0x2db88181, 0xade93382, 0x8305a055, 0x2f3dc194, 0x24e73259, 0x9fa16f29,
+    0x5e9d6f33, 0x905397a6, 0x6ce98465, 0x9bf19e9d, 0x3ae849fc, 0xbe77cc75, 0x856c07d4, 0xd3d3f1b7,
+    0x6b448140, 0x2c7fe410, 0xfb94d61d, 0x258a5f03, 0x3780a851, 0x6267e3fd, 0x8d73869b, 0x0ef13366,
+    0x6f2eacba, 0x04aebfff, 0x03548d6c, 0x9eb0ba8a, 0x3ada1e25, 0x97396ed7, 0x6cc68980, 0x4accb119,
+    0xe024589a, 0xc4444502, 0x37b468bd, 0x32d946d7, 0x7b3f05f8, 0x9a9218e1, 0x1b28f584, 0x914a638e,
+    0x0609ddf9, 0x4c24d6da, 0x4c4b1f49, 0x018add46, 0x1839210a, 0xb5c03977, 0xec8020d1, 0xcd06a5fb,
+    0x869ea7cf, 0x01c4e0ea, 0x279a7daa, 0xc31ee8a2, 0xabfb0903, 0xeca13c97, 0xae5e9e00, 0x1e8a26cf,
+    0xdbe1ed21, 0x6d788f69, 0xab7bc0b6, 0xbadc66f6, 0x6cda5638, 0xfd9dab66, 0x17969f3e, 0x14541e2b,
+    0x320d9bfa, 0x068a3ab1, 0x5ed8c15a, 0xc0e501f3, 0xe5b5f9eb, 0x7e53ed9b, 0x6152128f, 0x8f4ceb57,
+    0x6ff58be9, 0x152abef8, 0x2f1253df, 0x677a7efe, 0xe68bc27f, 0xc2838878, 0xa9eb3e1f, 0x312f8b9b,
+    0x5b2d47e6, 0xc5293cc6, 0xcc31a376, 0xdce79926, 0xcf0ad655, 0x62ef0786, 0x0f89f68d, 0xa8803b7a,
+    0x6cf9baf0, 0x68049049, 0x897f06a5, 0xcd2264aa, 0x6998e40d, 0x0a7498ca, 0xda57d737, 0xa4853e22,
+    0xf4c89d21, 0x942b3ed9, 0x00039185, 0xdfa6cf3b, 0xe42c03dd, 0x9d4ac26e, 0x76fddfe4, 0x058d1e3e,
+    0xb944b0c6, 0x89613911, 0xd0b713f1, 0xfad76687, 0xa24bf832, 0x4f7e1857, 0x46228a0d, 0x93977779,
+    0xc9d39c4f, 0x0be9cbbd, 0x9e8d0103, 0xc9bc2284, 0x6a3bae1d, 0x582aed98, 0x27b235f8, 0x8c6cce3c,
+    0xec7fc00a, 0xfd9a6fa4, 0xde3bf7d0, 0x967058ea, 0xa0e94b5b, 0x630401f1, 0xc5a75469, 0x30cbf908,
+    0x5d7ac6a6, 0x6f8585b2, 0x659e3e1d, 0x146f1acf, 0xda71db7c, 0x19978b19, 0x4641e282, 0xb3e533d4,
+    0xa671dcde, 0xd2b3d06e, 0xf7fdd6c8, 0x59910ebc, 0xc6424a67, 0xf109edd2, 0xc33b9ca3, 0x97593b97,
+    0x2d930ced, 0x97faad0f, 0xf01c66eb, 0x309252fa, 0xc88cfc19, 0x1fc30c6d, 0xe9a4e91e, 0x887521bc,
+    0x3a918090, 0x308d8f3e, 0x8e3eb532, 0x74376687, 0x9e1ad4c4, 0xd7fe775a, 0x2bc669cb, 0x3e4798f1,
+    0x56285c85, 0x7664b9e2, 0x820a8fbd, 0xb692a4c9, 0x32d1704d, 0x8ef1fa24, 0xd3e55f72, 0xbaf7ae4d,
+    0xee3494c4, 0xee58181c, 0x62fa3124, 0x12597127, 0x705e3827, 0x7668b438, 0x3e4a020b, 0xff0514f9,
+    0x361e3710, 0x4f38a444, 0x1a6b3445, 0x732f6d88, 0xe9348cc5, 0x3e0b6d7a, 0x5a9901b8, 0x44e23b76,
+    0xe216da21, 0x7a8294c8, 0x19abefad, 0x21469051, 0x650dce98, 0x456b8242, 0x653a8701, 0xcb20e078,
+    0x746e2452, 0x0ac76494, 0x44b281e1, 0x5b44a116, 0xadb4c358, 0xfb293ef6, 0x4c823bd1, 0xc28c9787,
+    0x0d3913b4, 0x035338ee, 0x1d1bcd93, 0x59ae306f, 0x9fa068f6, 0xd3a2c502, 0x6e45f9c8, 0x64c07fed,
+    0x37e3fa3e, 0xcc19839f, 0x1b52fa6f, 0x24c62300, 0xd3601a58, 0xe5685e37, 0x5fd7a24a, 0x8053f678,
+    0x693e8e55, 0x39ea32c6, 0x150518d2, 0xd4fec403, 0xb6211de0, 0x1c4817f9, 0xe7977322, 0xa1f62463,
+    0x50315167, 0x0413720c, 0xf5b947f3, 0xf8909c3c, 0x5fb5878f, 0xb36937d1, 0x8296cee6, 0x4894d76d,
+    0x1704c2a1, 0xc2c011db, 0xfd1f3c8a, 0xb721ef9e, 0xa389b265, 0x3b6c95cf, 0xaa9ab4ec, 0xdd575b2e,
+    0x0b960793, 0x88b758be, 0x9d027e9f, 0x17dca916, 0x32b944b7, 0x39417e8e, 0x89de47c8, 0x006f6d3b,
+    0x03aa11b4, 0x103e1ed5, 0xcae46a99, 0x16d76793, 0xbe45251f, 0x58443323, 0x876c062e, 0x2eef3666,
+    0x55b59adb, 0x05212d88, 0xc6976b18, 0x6116083d, 0xcc5b02fe, 0x25a1452b, 0x1a36ea72, 0xe49d21aa,
+    0x45e382a4, 0x9eef5083, 0x25c3fee9, 0x9f7d4962, 0x14c7bc5e, 0xcfcd29f8, 0xd8c228b9, 0xdd493703,
+    0xa6d8a3dc, 0xf6a7477b, 0x3332445c, 0x38a3dfd1, 0x1583b584, 0x8b8900de, 0x2202ef92, 0xf753f494,
+    0xacfb80e6, 0xdad9e957, 0x8909bc3e, 0xade9999c, 0x2a39cca4, 0x0a8a86d9, 0xa9a9ffee, 0x82312a53,
+    0x63ae469c, 0xf79d5c4c, 0xe6c2a910, 0x92b0e228, 0xb7ad1590, 0xf46ffdb1, 0x24464517, 0x130c10f4,
+    0x2f4dac7f, 0x1e66432c, 0x1383a0ba, 0xb2cc0671, 0x55a26652, 0xee6e0e2c, 0x69e87655, 0xd311a132,
+    0xf9f33d51, 0x03b01d3b, 0x1111679c, 0x39ad4edf, 0x2ab13242, 0x98314dd8, 0x028526c2, 0xc256881a,
+    0x4a6b2065, 0xcbfd0dbd, 0x3d92ddff, 0xa1e0a5d3, 0x0b397c3e, 0x8fc714ff, 0xdd6573a4, 0xa32691d1,
+    0xa9277137, 0x1bb452ca, 0x0fd54b5a, 0xbe282e9e, 0x1079bb0e, 0x08cf99e0, 0x464b38cb, 0xb4f90481,
+    0xbdf5c106, 0xf692dee0, 0x2493b05a, 0xad019e7f, 0x5f01360c, 0x45914b52, 0xdc2bab7d, 0xa1338514,
+    0x0d5456d2, 0x46176977, 0x6faba72d, 0x7b2522f1, 0x5600ebec, 0x7863643e, 0x7699d667, 0xd72e2ade,
+    0x9c7fa724, 0x27084bc2, 0x7aaf729c, 0x31f88742, 0xa192e031, 0xf73311b9, 0x19452339, 0x0b9f29c7,
+    0xf4b31064, 0x8129f6fd, 0xc2829b9c, 0xcce44e7d, 0xefe11714, 0x08faede2, 0xe0c01461, 0x34a93423,
+    0xce72da41, 0x036ed958, 0x64e8dd63, 0x6492a7fc, 0x547d514d, 0xe97b8f13, 0x627bab35, 0xa0015950,
+    0x7975c091, 0xf260041b, 0x59125c76, 0x4c7ad76b, 0xcadc879f, 0x29f32642, 0x3c4f9e28, 0x0f2f3f33,
+    0x82db1cf0, 0xf1491aaf, 0x756b3a6d, 0x111ea5e0, 0xb882633a, 0x3488d0cd, 0x1c76004d, 0xbf161ba5,
+    0x88a452e3, 0xff4d55ef, 0xb985d3bb, 0x00249e0d, 0xa3571d83, 0x0a5f57f8, 0xb7d80ad7, 0x37af0b7e,
+    0x97fc50b5, 0x5a35beda, 0x9f84d4d8, 0x807dfff4, 0x18344c68, 0x3c1267a6, 0xea5a6b61, 0xfab77dd9,
+    0x8d35f7ea, 0x270a17ae, 0x62637173, 0xf2857283, 0xceb98b9b, 0x81401cd9, 0x643e7438, 0x6e5af2dd,
+    0x6cfe5978, 0xc8eabaa3, 0xb122e5b7, 0x065b4af7, 0x81b69238, 0xb96cd95e, 0xcad131c4, 0xbc54877c,
+    0xcac45a38, 0xa99d4548, 0xd03c0ef5, 0x4194e70e, 0x48e545e1, 0xd2a31842, 0x1cdcec62, 0x1d2addd2,
+    0xc3a4b6f3, 0xd27a931a, 0x9c5acec7, 0x38410ae0, 0x0e4c9223, 0x8b55c9c2, 0x54ebc459, 0x177a929c,
+    0x9d286c3c, 0xd0b832e1, 0x3cf86801, 0xc6385ebf, 0x3771fab8, 0xa7af7035, 0x42cf53cd, 0xf519a915,
+    0xfcbaaff3, 0x90a7ea17, 0x2ddea58b, 0x0f2479e2, 0x244482cb, 0x75219d78, 0x88906b19, 0xe7cec713,
+    0x00000000,
+    0xd9d6a747, 0xb62aff1b, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000200867255532373784442745261542645325315275374222849104412672 */
+  { 0x00000000,
+    0x15e901ec, 0xba3d7820, 0x139c35e7, 0xa3b9db48, 0x2d0f152b, 0xd4ed4dfe, 0x47a7936b, 0x3d052b43,
+    0xaf27d19c, 0xeccfc48e, 0x6eea08df, 0x72eb0b39, 0x82467d03, 0x5b5c7fc5, 0xe94bca24, 0x6e83156d,
+    0xab63c9b0, 0xc76a0e15, 0xbd095b38, 0x16aa27c6, 0x9c3859d0, 0x6ab4da19, 0x44778c97, 0x6a09338c,
+    0xefd9ed2f, 0x5e82dc55, 0x6de60dbb, 0xf157fea8, 0x15230fcd, 0xf741ae8a, 0x9988e5e4, 0x93cbdef4,
+    0x38f8b4ef, 0x0fc355e3, 0xd1011465, 0x362ef99f, 0x33b4e1d9, 0x7f2e18b9, 0xbb9257e9, 0x6b75280d,
+    0x3c5f2f3f, 0xe3c708f0, 0x65bcfb14, 0x1c5bb2c9, 0x70e76f6a, 0xfcf86838, 0x62b0f231, 0x5b384827,
+    0xd6ed2439, 0x1022cf18, 0xca1f4cad, 0xac3c80e0, 0xe3bf5558, 0x113c1114, 0x4636defa, 0x556ed395,
+    0xbf24f0cb, 0xb25adfea, 0xa41afe1e, 0x25deffba, 0xb5a9e34c, 0x17cc33e2, 0x05dbcfeb, 0x13946e4b,
+    0xae6734f1, 0xed1a0d83, 0x44f0b5f1, 0x00dbcdf0, 0x090d93fb, 0xc38930db, 0xacde9ee8, 0x252ac976,
+    0x9ae396c9, 0x1c109f17, 0x3116e04b, 0xf62cf192, 0xb807585d, 0xb5de8677, 0xbfd36702, 0xca31d8cc,
+    0xe93f83ac, 0x4e7f195b, 0x4a8e6ab4, 0x48443081, 0x233956e7, 0x656e5f28, 0xc6a77116, 0xf85fa6ae,
+    0x16a31718, 0x77290ff6, 0x4967d3db, 0x161e125c, 0xf04e9dcf, 0x20510188, 0x8bfe5a64, 0x8451465d,
+    0x7c3116c0, 0xd2eb3c6a, 0xa38770de, 0x805af7ef, 0xc191b6ca, 0xc4028dce, 0x68f79f09, 0xdb483b7b,
+    0xb95bc4ba, 0x73ba2ce0, 0x4b9edd81, 0x295a21c7, 0xdc68735b, 0x275a270f, 0xed8b896f, 0x4a8b0695,
+    0x49e50982, 0xb9b73fe9, 0x135f8fea, 0x0c2e9c35, 0x0f3bb513, 0xd94a00c7, 0x40756ac0, 0xdbe973b8,
+    0xf230d2de, 0x9b8af1ec, 0x46657304, 0x31c92346, 0xe7c2ccc3, 0x235aa1ae, 0xe16cf540, 0x58b4f620,
+    0x767fd7aa, 0xe31f05f4, 0x8f349ac3, 0x892fc15b, 0xcc95b6bc, 0x2f79de91, 0x94ca66d5, 0xc2544671,
+    0xd0e51583, 0x965d613e, 0x47fb0a29, 0x7bb3d2aa, 0xb9a19b59, 0x618467a1, 0x88a3da6a, 0x053634d2,
+    0x0e85dec7, 0x7f38d7b2, 0x170267df, 0x5612dc60, 0xa3d68e64, 0xad1fcb0c, 0xfc4df633, 0xa5e85373,
+    0xd51e3656, 0x5358c357, 0xb6f0ed21, 0xfd958206, 0x23e3a1d4, 0x9e29ddf3, 0x71232867, 0x6c259003,
+    0x1221f7c2, 0x3e755908, 0x441fc970, 0x38a98ed6, 0xe9029bac, 0x7044960d, 0xae634ae0, 0xf02f3016,
+    0x753ebda2, 0xb6d250d8, 0x58e8e7b1, 0x2107bddc, 0xfc17c200, 0x0d090902, 0x0730ef9b, 0x810fd970,
+    0xad7570f3, 0x1920e075, 0x9f5f0022, 0x250de75e, 0xb5132a49, 0xc200d67d, 0x7e63b31f, 0x328c2b66,
+    0x75b911a4, 0x0a831d7c, 0x2b1c1509, 0x4beacc6e, 0x7caab378, 0xa377a82b, 0x9edd7bc6, 0x4724baea,
+    0xc00a8f61, 0xc7fdc6a5, 0xc2009729, 0x33876120, 0x23a6dfa9, 0xd002317d, 0xe99fd2d1, 0x26ac7129,
+    0x7b8efdc4, 0xfc9e487a, 0x4a493a69, 0x6940e701, 0x008a13da, 0x094f1231, 0xe5758fd4, 0x5198e837,
+    0xa1bf431d, 0x5d05fce9, 0x1dcb278a, 0x91757e96, 0xc84fb070, 0x59a87493, 0x0610cbd6, 0x13bd17e3,
+    0xff45fc0f, 0xdc088f37, 0xeb98045c, 0x2ddafd55, 0x8949401b, 0xe12a86f4, 0x288946c0, 0x143eeac2,
+    0x267b2ae5, 0x0ed8542b, 0x654f9a03, 0x726d9832, 0x1da90fa4, 0x42c41104, 0x8e4cdc42, 0x56e1247f,
+    0xc47218bb, 0x0227dedb, 0x0424580a, 0x133d835e, 0xdb69bec6, 0x969d92b8, 0x50cd8710, 0xc86725f4,
+    0xc3efad2e, 0xd61f43ee, 0x3fb7de39, 0xc411d9ec, 0xf80127c2, 0xe8f1e1a2, 0x49fbc9f1, 0xc21fa739,
+    0x2fee1870, 0xc34265e1, 0xe97197a6, 0xe5941642, 0x42897edc, 0x781b352d, 0xedaf1f21, 0x65fd37bf,
+    0x2d18d4d9, 0x4d34d0a0, 0x0393d4ab, 0x77daec2c, 0xdc22f0e1, 0xfdb09282, 0x1711d196, 0x14e75325,
+    0x90c26a36, 0x43c9798b, 0x86379323, 0xd4bf2108, 0xc0b53b7e, 0x349e8c3e, 0xb46b1cf1, 0x3a17d09d,
+    0x9e6b7bf6, 0xd4b1e128, 0xdfa9014b, 0x80203719, 0x019d1124, 0xcd2e2085, 0x6b4d4227, 0xcbbca648,
+    0xe68cf67c, 0x899226ac, 0x0bdeb54b, 0x3d8ae0fa, 0xf9f19a37, 0x1181bd16, 0x77c38410, 0x2e8d06f7,
+    0x317df551, 0xc9dc202e, 0xf2d54cab, 0x7ec862d5, 0x69104e79, 0x28c8802f, 0xae252fe6, 0x5ad1df93,
+    0x0dde0be0, 0xe3e94d91, 0xb6934f93, 0x2455cd0c, 0x62c7b615, 0x94f118bc, 0xa8c3f1f1, 0xd66decfd,
+    0xdc7335d7, 0x411511c1, 0x7e3228a0, 0x8517fd39, 0x1ab18dff, 0x2122b6ac, 0x2f9972d2, 0x242b649c,
+    0x1a3f1150, 0xa8ec6a6f, 0xd6bc72a6, 0xf2513d66, 0x23a3d523, 0xce069e20, 0x7f183e63, 0xcad25c8d,
+    0x9df22fe6, 0xe0dd6bcd, 0x7359634b, 0x5d7ba2f8, 0xdd7f5f0b, 0x56cbcf86, 0x3ee68134, 0xf5e7cad4,
+    0x38af3005, 0x8f11a57f, 0x5a4b49c3, 0xbcb9cda8, 0xec84f351, 0x21794370, 0x28637bba, 0x141ef075,
+    0xfb084eea, 0x722d5043, 0x68384102, 0xae03968e, 0x958c0a0c, 0xdf6c4d5c, 0x96f3900d, 0x8cf2edbc,
+    0xf73df10e, 0xfab54c14, 0x59d9ab18, 0xd28d3308, 0x51ac4281, 0xcd60df87, 0x2bfe8ba0, 0xf0853647,
+    0x8d971bc3, 0xda16c110, 0x860c8277, 0xd0320d13, 0xfa1ff0d1, 0xb02fe4d5, 0x3d0391f7, 0x8c8be8b0,
+    0x2a1657d2, 0xff771f82, 0x0142516f, 0x75c539c8, 0xe4530a14, 0x809c89da, 0xaaa24081, 0x8085eab5,
+    0x29cb4fb4, 0xf4348579, 0x2d6adad1, 0x8a2f845c, 0x104ad98a, 0x3615f9d7, 0x4f826421, 0x5f3f228c,
+    0x1049de8b, 0xb8fd41e1, 0x6f7715af, 0xf541996c, 0xfafb3d77, 0x8e76b398, 0x87e9e9cd, 0x46b7106f,
+    0x3a1a304c, 0x834bcf52, 0x8522c5d2, 0x2da2ccf9, 0xd393f10e, 0x546330fa, 0xea6ec8a4, 0x3a599b44,
+    0x7f90a106, 0x3c5b927b, 0x6727f10b, 0xae87b585, 0x021e68a6, 0x084abc9e, 0x7155bfaf, 0xe380ef33,
+    0x1b6f94ce, 0x6055f43e, 0x9411d32e, 0x3a243086, 0x8593e9b7, 0x64a80ee6, 0xaccebe5a, 0x18e9ef82,
+    0x6fbc97dd, 0x06d6ffd9, 0xc71d404e, 0xd70a1f88, 0x1f92ac0e, 0x601626de, 0x012f7f1d, 0x76640d50,
+    0x9095ecf4, 0xa8605367, 0x6f23f031, 0x167a09f9, 0xe9a22a14, 0xecb1e4af, 0xf98f4b16, 0xb016f0e2,
+    0xf413c9f0, 0xae07ed6a, 0xbdabc5a5, 0xc70508b8, 0x655b1518, 0x1b3db9fb, 0xc9d3eec0, 0x3e249adf,
+    0xf6a5f7f1, 0x3301d33f, 0x28801175, 0xccf21699, 0x092ecedd, 0x56fe811d, 0x8433fd55, 0xb23108e2,
+    0x2ccca53a, 0x96c7f7af, 0x6fe02b1e, 0x708d2c1e, 0xa42c3b44, 0x5197a24d, 0x7aa968d1, 0x3c637ca9,
+    0x87e50078, 0xd574e709, 0xf3ab7ec9, 0x76167d9b, 0x4abb5e72, 0xa11e8ece, 0xdb486808, 0xbff7e138,
+    0x425024d4, 0x0779c539, 0x07086b8e, 0xa8089b40, 0xb4e7a1ff, 0xd11d155b, 0xe171c36b, 0xee2113d4,
+    0x3fb48d66, 0xfb8c0198, 0x06771d1f, 0x0fa92b54, 0x9b0871f9, 0x873adf93, 0x602cf603, 0x98282835,
+    0x86451624, 0x9a398a8e, 0xda0fb33b, 0xa3ce0e27, 0xc1ed3dd4, 0xff7f8c93, 0x046594cd, 0x9fe75e35,
+    0x0030f274, 0x9a51017d, 0x3cae12e9, 0x9e0f4ff9, 0x3baa52c5, 0x31c6bea5, 0x4fbf0c8f, 0x3d30e902,
+    0x93f725d5, 0xa9342849, 0x0c9fb497, 0x073379fc, 0xce754a7b, 0xf62ce787, 0x481ab01e, 0x0f0edf79,
+    0x8043cf7d, 0xa2a13505, 0x8206f3ae, 0x77deaf4f, 0x25933300, 0xd63b378b, 0xe2a449eb, 0x0e717306,
+    0xb8269515, 0x2a5bb96f, 0x52a5cf68, 0x4cc76819, 0x61dfafc2, 0x94f44182, 0x3128eb48, 0x8e43c6cb,
+    0x08f7fd2a, 0xa5af4a9b, 0xfd762c96, 0x8b652d09, 0x314526ca, 0x1f6af3e5, 0x2d761c4e, 0x9745f5e7,
+    0xd5bf0620, 0x986e7b82, 0xdfb42650, 0xe92e0112, 0x65600f3d, 0xb4690692, 0xd638a408, 0x90904563,
+    0x679efae2, 0xe3c832fe, 0x656c7f1d, 0xb24c86f4, 0x970505f7, 0xcfa3294d, 0x03ef0bb2, 0x9f55a6cc,
+    0x88c1bc78, 0x500aa4ef, 0x5285cf19, 0x48330a27, 0x1b7b6314, 0x35173fe2, 0x31aeb292, 0x2c557917,
+    0xb220df07, 0x9990d847, 0xd80559bf, 0xd2d80859, 0xc52db2d2, 0xcbc23ceb, 0x37895bcd, 0x88333f86,
+    0x7b92030f, 0x9222ef73, 0x3f05385e, 0x46d82426, 0xf0d945cf, 0x2348a1e0, 0x4a49bcc5, 0xf39d5ea3,
+    0x0b7b759f, 0x0bb1e804, 0xdb88f226, 0x88217cea, 0xff4ba54e, 0x37e0bbc9, 0xe3556430, 0x996dffbd,
+    0x8985c795, 0x27be2c25, 0x0e9253ad, 0x1ba58230, 0xaf382e4d, 0xf9d09068, 0xefc551ae, 0x57772d45,
+    0xb005205c, 0x6e032d84, 0xf0d0ba33, 0x4d792bac, 0x8505000e, 0x8176bb59, 0x73ea51bf, 0x47d14346,
+    0x65aef58a, 0xffbe95b3, 0x5535723d, 0x370933dc, 0xcfd3cbd3, 0x5ae95df7, 0xf43e462c, 0x76c03f2c,
+    0xb2380db4, 0x79f368aa, 0xeb5c22cd, 0x68d2e4c5, 0x01fb003f, 0xfb3948e0, 0xe0061e11, 0xe707c6b3,
+    0xe55a88fe, 0xd34c7b48, 0x32028ee3, 0xeac58db6, 0x671b7651, 0x7cb9bfc8, 0xdd87eef0, 0xec741d9d,
+    0xdef4cb14, 0x973b31be, 0xf04b582b, 0x0fd4175f, 0x0406e70c, 0x8248f386, 0xd39bb705, 0x61298a89,
+    0xb970e765, 0x6e0c1e19, 0x95ef69ef, 0xf7dc02f3, 0xcf71ffa6, 0x97e7572f, 0x724589bd, 0x4203779b,
+    0x68f9c5f5, 0x24a1ec26, 0xa5111fe4, 0xd5d1a7ec, 0x7dcc6316, 0x7e5cc92a, 0xe5dee353, 0xb89b586f,
+    0xf1cfc341, 0xebfc75b3, 0x2290d280, 0x21226096, 0x83a89cde, 0x3de4dc65, 0xe6467ec8, 0x9dd2a9f3,
+    0xa3c5953e, 0xd643c3f3, 0xcb931c04, 0x7b5a324f, 0xe8bfa152, 0xda5db497, 0xd7945877, 0x5af34ab6,
+    0xc19f920a, 0x0e737a06, 0x2b30df01, 0x8aafe9c3, 0x6ab69aa9, 0xfbf6d790, 0x6a130570, 0x38a5389c,
+    0xd6dde7d2, 0x6e61505a, 0x61172c18, 0x1ae010e2, 0xe62a1599, 0x32a0a602, 0xfcfc4040, 0xe82a5605,
+    0x59d93732, 0xa4998807, 0xecb945fa, 0x41a06e99, 0x0d35826e, 0x37ea2fe4, 0xebfb4cb2, 0xb3ee228f,
+    0x948bc087, 0xca94cc9d, 0x298b01a6, 0xcacd1e3a, 0x209b538f, 0xe75ef918, 0xbce8c624, 0x06e3f6da,
+    0x9ceeab5c, 0xd3e7cd6e, 0x6d4e2100, 0x3a5b7abc, 0xc4967a38, 0x7ad9b341, 0x4ff6ad52, 0xa47d3f79,
+    0x9daeb92a, 0xb11a3a40, 0xe17a5b38, 0x9a82f77f, 0x37a2dc3d, 0x18656b77, 0x422bd0ec, 0xc5f823fa,
+    0x97246973, 0x0beb72be, 0xdd82961e, 0x1e6a1563, 0x8bb78229, 0x5620eae9, 0xf5da89aa, 0x874f6dc6,
+    0x805da9e4, 0xdcabbc8c, 0x07685ffd, 0x291beb23, 0xee8411f6, 0x8442af1b, 0xfa2eeff7, 0x2748c0f1,
+    0x20053a71, 0xb85cd5ee, 0xadd3ca5f, 0x63ea52b8, 0x71125f7c, 0x40823dc9, 0x268a9a8b, 0x97333a0f,
+    0xe8b89441, 0x01dd96c2, 0xc9027648, 0xa339e13b, 0xd90135fc, 0x1380a61d, 0x81b95db7, 0xa48ff346,
+    0x6ac196e4, 0x3c14c58e, 0x58e104f5, 0x9f20509b, 0x6f106c97, 0xe7cea0bd, 0xa64065a5, 0x3cd7c778,
+    0x98ddfbfe, 0x1c0cb2f5, 0xc059608d, 0xaceeba4a, 0xcd73daef, 0xc729ffde, 0x444f101c, 0x6f088d9b,
+    0x9b7f9a88, 0xa2546de4, 0x4e677b5d, 0x47b6fa94, 0x14fcf4eb, 0xfeb85fb9, 0xc1e3bc74, 0xba1a1ccf,
+    0xa2cbd96f, 0x651349e8, 0x593e351e, 0x4cde6342, 0xda434587, 0xe0209838, 0xdb639b3b, 0x057f339a,
+    0x00f3b89c, 0x71bb648c, 0xf2df064f, 0xde34c17e, 0xd20d04f6, 0x411cd657, 0x7fc3821e, 0xb2f9cb9d,
+    0xc92a8a7e, 0x0e446591, 0xbb57993b, 0xe377d275, 0xf1ecd30b, 0xa9865145, 0xb73d0b9b, 0xdd56bbd8,
+    0x77f37b17, 0x10fc1ff9, 0x4b42ab93, 0x82f4c903, 0x6608aeca, 0xc51d528d, 0x3db4e701, 0xc6bb774b,
+    0xa6fb6135, 0xbe10d73f, 0x5ea058e8, 0x664b020c, 0xedb87d1e, 0x225cfdff, 0x3cdec5a6, 0xe4bd0b30,
+    0xeb7d4b06, 0x71e901c6, 0xb9f848d6, 0xa181c451, 0x2ba0b59b, 0x3fa0e87b, 0xaa9610c6, 0x30ef5214,
+    0xe058337b, 0x315a2e5b, 0xcc3da61d, 0x2b46ba1c, 0x644ff874, 0x7c9754f0, 0x2c8a286b, 0x26508388,
+    0x4c5e08b2, 0xd40a6865, 0x52dcc0c2, 0x56cf3a02, 0x1c77b8da, 0xb39773f8, 0x6fd3777f, 0x7b4e7afb,
+    0x1d6c9cad, 0xeef8da51, 0x3cf60cb8, 0xb1a55bc6, 0xe96e4cd2, 0xeaed574f, 0xa1753b33, 0x9f0ae061,
+    0x7de40147, 0x9dbced8a, 0x1c9e4ad8, 0x10896884, 0x7aa300f4, 0x2a25aaa8, 0xc83e0d4b, 0xd4ba2618,
+    0x1db84884, 0xd6a20da7, 0x5277b000, 0x974408e2, 0xd25ffc18, 0x5fc9e0bf, 0x74e8eeaf, 0xaa60f349,
+    0x8900410a, 0x099039bb, 0x25e2a1a6, 0x3dc4dd02, 0xc33d68a7, 0x5bc9dafe, 0xdfd8549c, 0x95fd92a4,
+    0x56fcd74b, 0xaaefe3a5, 0xec6fb3e2, 0x3e8aedfe, 0x430c90a2, 0x4c3d0666, 0xea66597a, 0xd0d349d1,
+    0x1634335a, 0x76bf62a3, 0x5147bcef, 0x9e3fd6d2, 0xbb156f7c, 0x7b4ea62b, 0x87a9c3d3, 0xd3dc89ae,
+    0xfcff347c, 0xac282f09, 0x155bd8d8, 0xd71ce4a5, 0x7d6995b2, 0xaa29457a, 0x28d09b69, 0x30ec0c8c,
+    0x5f3e530a, 0xb7f161cb, 0x0d35b9e0, 0x37bf896e, 0x3ad4db29, 0xce467d1e, 0x392f2c77, 0x59b725db,
+    0x19c50af1, 0x81fb5e9e, 0x81e8cf70, 0x5178ff02, 0xe29171ee, 0x3e1a0fc4, 0xaee4b466, 0xfeec1b7e,
+    0x8947f163, 0x35b40944, 0x1adf13e1, 0x5e2edd29, 0x1f04d89a, 0x9524f154, 0x2ae228ef, 0x84374a48,
+    0x26eb3ebb, 0x50a5cc3c, 0xdaa74a9a, 0x93b04e3f, 0xaadbed30, 0x4e0907f5, 0xd959c251, 0xac768eef,
+    0x2bed00ce, 0x185f9c40, 0xdfe6e270, 0x99717647, 0xed606aa7, 0x3f2da449, 0x2279f3e2, 0x2cfd6c6d,
+    0xf784a206, 0x279b1d94, 0xaf11a276, 0xa11e5489, 0x59679e28, 0x16d6ab1e, 0x059c1983, 0x29ad7329,
+    0xf53e2c0b, 0xd5d6adda, 0x10e9095b, 0x1af67c77, 0xd3bde9be, 0xf3e4cbc6, 0xe440eeb8, 0x28b3a24d,
+    0xeadd2c94, 0x190532d9, 0xbcd69bf3, 0x25490832, 0x11e8d890, 0x0fc91da7, 0x5f832b5c, 0x553e95bd,
+    0x5613f7cf, 0x75149d00, 0x66294303, 0x1c0fa4e0, 0x333e97b5, 0x9c04c3e0, 0x03dbc370, 0x470881ec,
+    0x1918c1a8, 0xa9a7ad9d, 0x8d8ee2ea, 0x3bd4c176, 0x937d2bc0, 0xff1f1a52, 0x71a72acf, 0xfb8d8fae,
+    0x563d04b6, 0xcbfb7960, 0x6d76c1a2, 0x6e97369d, 0x11af87cd, 0xeed85e31, 0x360f8f10, 0x6e1adfca,
+    0x7867fb36, 0x7069521c, 0x70d24960, 0xf8109a08, 0xa4df6051, 0x522f735d, 0x09fd2f97, 0xd1c6138f,
+    0xa6323cfc, 0x08a5d9a9, 0x757c33e5, 0x97e63f8e, 0x9be8d79f, 0xf151fb1f, 0xa19a2e23, 0x8fb321cb,
+    0x8b80d0e2, 0x307ecea6, 0xa29315fa, 0xfb4fa913, 0xe505d913, 0x023a9299, 0x7589fe52, 0x2deb1e2c,
+    0x43bac4b4, 0x067a91a0, 0xb7725ac3, 0x2d0f007d, 0xef0c3c04, 0x111c3f98, 0xbb69be51, 0xe907b79f,
+    0x229b64c4, 0x0162d53d, 0xbafdb271, 0x457c79b6, 0xe7d9f7e1, 0xcac7e6d7, 0x708af90d, 0x8a4ea535,
+    0x99bad2bf, 0xe3de6360, 0xc44f874b, 0xc3bb4d0e, 0x65768412, 0x14b5d871, 0x5c39de19, 0xac40fc4f,
+    0x00000000,
+    0xeceb53a3, 0x5b157f8d, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000100433627766186892221372630771322662657637687111424552206336 */
+  { 0x00000000,
+    0x5770d372, 0x16cf30c6, 0xe61b068b, 0xc83d1621, 0xff07d033, 0x7925271a, 0xa8403933, 0x4528d803,
+    0x03525223, 0xe8cbb0d8, 0xd64c102c, 0xafee0b3e, 0x798dec0f, 0x8e99daca, 0xa4e0ebf9, 0x6708f915,
+    0xbc358529, 0x4806312f, 0xf24c0c15, 0xbcab5ae0, 0x6e912b68, 0x13d85e8c, 0xc24395d2, 0xc1fd43c4,
+    0x1f33fc4f, 0xc019a692, 0x421b2c6f, 0xe0f821bb, 0x413dd89b, 0xc0906250, 0xe2ca9d59, 0x0536ebc5,
+    0x2335859e, 0x44a4edd0, 0x247f7490, 0x4f597749, 0xbdb11d02, 0xae6cf2d6, 0x24347772, 0x1895a4af,
+    0x36c02795, 0xe94f5b7d, 0x3a0cee5a, 0x3afeda26, 0x349a241b, 0x5bebf7c9, 0x4e591840, 0xa6bfe78d,
+    0xefb7ccfe, 0xe2bedbf9, 0x328938c2, 0x12e26cff, 0x94a8075f, 0x55ccce79, 0xd1c37b29, 0xdae202a9,
+    0xae48a119, 0x64390733, 0x670e707d, 0x906a470a, 0x07bace82, 0x67282b0e, 0x9d0bdbc5, 0xbe1aebee,
+    0xb0b08f8b, 0x9f46bfb3, 0x10e58184, 0xeaf2a062, 0x84ec8914, 0xb57c9033, 0x136f146e, 0x85e8c888,
+    0x380a8f1b, 0x4668d7c5, 0xf86eaa06, 0x371dd964, 0x435e41c3, 0xe843abf8, 0xea3a548f, 0x2d6e5f80,
+    0x66c1e5d7, 0xf8964a87, 0x1be1fc1f, 0x4d280f48, 0xe438b08b, 0x5f9ab4d9, 0x8ab28ea8, 0x6a67d14e,
+    0xffdca5fb, 0xb3494567, 0x8ad91216, 0xc3b40d37, 0xf7a09df1, 0x45790c41, 0x8f1c4311, 0xf509fb3c,
+    0x4e765ee7, 0x80e22b2a, 0xbedb3140, 0x2d33ac24, 0x947c3315, 0xde768911, 0x0757cdfc, 0xfbc7f38f,
+    0x3068716a, 0xb575d7c2, 0x3678e495, 0x9492facd, 0x28349474, 0x9c012d0a, 0x18ee4d52, 0xc0322434,
+    0xba3aab11, 0x00b489ab, 0x7017deca, 0xe58ef3d0, 0x4dcf46d8, 0x8dc2e30e, 0xd142d899, 0xe0eaa6b2,
+    0x5bc2cc87, 0x30737adb, 0x5bb39599, 0xfbf83382, 0xfd06c92e, 0x86d79e69, 0x25547f91, 0x3df6e315,
+    0xe80f9926, 0x02d0cd5f, 0x89267c55, 0x5422f6fd, 0x4f79d906, 0x8d51e54f, 0xedd925b4, 0x122d845a,
+    0x5fc38193, 0x577571f2, 0x8c956403, 0xbb79155b, 0xd06bfeb9, 0x77e061bc, 0x775c4227, 0x811cfc47,
+    0xef8254bb, 0x7320052e, 0xfe12214c, 0xc4e92377, 0x6ecf32be, 0x411e9ab6, 0xdec7380c, 0x6cf86d22,
+    0x9fb3f7b6, 0xb6256a87, 0x8afdc039, 0x5ef6838d, 0xe5636e75, 0xe44ab080, 0xfa978ff1, 0xc3858a5e,
+    0x29fc8164, 0xbc528ea5, 0x6bce2c2c, 0x66c56c50, 0x9f7f20b3, 0xb9d77328, 0x44407cdc, 0x1eff82ee,
+    0x3c510bd0, 0x9c40f483, 0x5b392c42, 0x4e1a1c26, 0xf58e1d9f, 0xf318512e, 0x4a552332, 0xbce52d69,
+    0x9d39e84b, 0xfa178825, 0xa7550a90, 0x364008f3, 0xab15e102, 0x1cb65d2f, 0xd47fc8cb, 0x1157343f,
+    0xc47f1be9, 0x7be812c2, 0xb431ce8c, 0x55811c75, 0x68bbea47, 0x079d8266, 0xcdc7452c, 0x0293eb1a,
+    0xe0315276, 0x91e4dec2, 0xf6865f5f, 0x298d47e3, 0x40e67938, 0xd51bed47, 0xeedd104c, 0xedc61baa,
+    0xa3c47ebc, 0x8091ce7b, 0xa60c4956, 0x4d50ac50, 0xf3d7206b, 0x3edebd43, 0x19a40eb1, 0x7cf48d8c,
+    0xe87e4ea0, 0x676cade9, 0xf0b87e1c, 0x34687d5a, 0xf38ffd73, 0x7755865c, 0xbfc51463, 0xca4d14b9,
+    0x61007e18, 0xb8cb8a80, 0x0eefa429, 0x74c62065, 0xfc55f6f7, 0x642f8316, 0x8ddceb9d, 0x875eb0e0,
+    0x64806508, 0x13e93a1c, 0x4fe0bb8c, 0xaa03b275, 0xff425c45, 0xfc6a5669, 0xcfc075e1, 0x3b60ecd0,
+    0x6b3a1009, 0xf62b2a7e, 0xe0953b0f, 0xc244e1a7, 0xa0c7cd78, 0x04d196ea, 0x8a44a4af, 0x9603eeb8,
+    0xf4fe7d0d, 0xf393044b, 0xe80bab1d, 0xddfdfbff, 0x810af3bb, 0xcfb85bac, 0xc97ec3ea, 0x0812d951,
+    0x200ff74c, 0xe114ecaa, 0x822fcfd5, 0x71e045e6, 0xa86eef21, 0x72ebb762, 0x933fd175, 0x321bcec0,
+    0x666c6586, 0x9005e10b, 0xf1811533, 0x237f61aa, 0xb11c26f7, 0x2cee24a5, 0x2e1dcc6a, 0xe62c2df3,
+    0x344f5aa9, 0x4b6a26bd, 0xad8d2e6e, 0x1c91a5f4, 0x4665415f, 0x85b24dc7, 0x504b055e, 0xad57287b,
+    0x664af69f, 0xb34da29c, 0xd7dd524d, 0x2991228c, 0x8ed919c4, 0x8fe876b3, 0x496825df, 0x1fba3730,
+    0xc43ed965, 0x6e824632, 0xa4474a8d, 0x645b46ce, 0x8d483ae8, 0xb9d74fa6, 0x563090a2, 0x151e2b98,
+    0x7b8ed168, 0xe1be4556, 0x1a1652ce, 0x78884fca, 0x98cff615, 0x0e298da5, 0xdbef6649, 0x9eda1870,
+    0x9dd2d068, 0x974873b0, 0xfa5a7e2f, 0xbc6704ec, 0x6bacd439, 0x2e51c6c1, 0x34bc5f89, 0x659295bb,
+    0xcd000f60, 0xb5eaee16, 0x692a9ac2, 0x2a33cbdc, 0x68ef00d6, 0xbeb0a535, 0x1b41f15d, 0xed016fa0,
+    0x2dfbf63a, 0x4dac341c, 0x4693b26e, 0x57ea32ec, 0x2a9bcb52, 0xfb3321d7, 0xb7837169, 0xa24265bd,
+    0xb4fbcef6, 0x6c4c2658, 0xb29ae6b2, 0x54d0b487, 0x212870c1, 0x4fe3f559, 0x697887f5, 0x15220f2c,
+    0x73fef7b5, 0x77e6dcc2, 0xc2b3a10c, 0xbced2ebb, 0x01b05cf9, 0x8fa3e455, 0xe9f9a0d7, 0xb408bf8b,
+    0x84359470, 0x0e4e5cf2, 0x79b42d5a, 0x04ea4d85, 0x0e34eef5, 0x663748ca, 0x0e063613, 0xc3ea2037,
+    0xbf8b900e, 0x5f5eed63, 0x98cce5ea, 0x887e126c, 0xbcc5794c, 0xa47cbba5, 0xad68bf05, 0x09223127,
+    0x9a52cba5, 0x1019f5ea, 0xef7c6c0f, 0x0016b815, 0xacf8e05e, 0x71076c78, 0x9f7ee46c, 0x3caa443a,
+    0x4df85792, 0xf8838673, 0xbf4a70c2, 0x648cb7e0, 0x32275bbf, 0x55e0c281, 0x64bbefd3, 0xb1f9297a,
+    0xf66f5ba5, 0x84d42581, 0xd218f10f, 0xca4c08da, 0x7a1b8479, 0xf2da8814, 0x62db27ed, 0x01700971,
+    0x068ee45d, 0x0463ba2a, 0xe18656e0, 0xdc9869e0, 0x75910585, 0x6e1553f3, 0x43b2f1d1, 0x46342591,
+    0x2710c35a, 0x13209fe4, 0xcb1d1973, 0xda13ec78, 0x11206f82, 0x31d94cf5, 0x4a1b0352, 0xfd156c2e,
+    0x97b87bba, 0x382f4951, 0xb6ce16f1, 0xb5b86902, 0xe6772b95, 0x1fb1dd3f, 0x0e9e1512, 0xe5980c1f,
+    0x00c37267, 0x23bc3feb, 0xe3818abd, 0x9a2fe10d, 0x2662eefc, 0x5e21409c, 0x56450a24, 0x203c9fbc,
+    0x5be24891, 0x19ca382f, 0x97edc7f7, 0xea834578, 0x94f08b85, 0x0a1194c1, 0x37df2e07, 0x251875e6,
+    0x3d0df264, 0xc037175a, 0xdfd9318f, 0x1c6413ba, 0x282ef27b, 0x72616127, 0x033d5ca4, 0x8efba23c,
+    0xbdd99fc7, 0x9a6c85d7, 0x7f11aa53, 0x868d94c3, 0x48efcb4d, 0xdd7b8758, 0x61a9c9a8, 0xedffc5cc,
+    0x74329c72, 0xdfd46308, 0x77ca366f, 0x96d1ff41, 0x325286db, 0x739dcb30, 0xf6748914, 0x39e81d1a,
+    0x8b9f924f, 0xd47a0ecc, 0xbd12ad49, 0x44ccc346, 0xc9d8d5be, 0xb3b22f7e, 0xa3f45ec5, 0x18a3ce78,
+    0x1e2a064f, 0xbf1ad25d, 0x777cd9ef, 0x2fb07cf8, 0xe6f58cb9, 0xf64d23ee, 0x5715df0d, 0x8cd7f32f,
+    0x612d41ce, 0xaabc6bd6, 0x84f06c85, 0xa718ea6a, 0x1d5d8fd9, 0xba809721, 0x5b878614, 0x2601afd4,
+    0x10c053b2, 0x14893656, 0x3f6ce8b1, 0x3a9b9540, 0x767103e7, 0x5e4002f2, 0x74c40707, 0xcdffe7d7,
+    0xaecd3f9d, 0x1df1af96, 0x9292d183, 0xf398c7a4, 0xc42b27b1, 0x06925244, 0xca7d9884, 0xfc6cb69f,
+    0x65484ce8, 0xb172f6ad, 0xc225c6df, 0x25b1d3d1, 0xeb8f7df0, 0xc22614c9, 0x061b354a, 0x01414d73,
+    0xdc2448cd, 0x9d82a945, 0x832e907d, 0x08fbb4cd, 0x0daac5bc, 0xe834e2c7, 0xd6a65158, 0x9928195e,
+    0x2c6acb4a, 0x92b7d487, 0x41945f1f, 0x5e377519, 0xad966c71, 0x05ae8445, 0xb761569b, 0x7564f8c8,
+    0xb6fb6263, 0x02007a49, 0xbc3f742f, 0xdf5c0edd, 0x3f3821e8, 0x63962736, 0x9683f19e, 0xb9fb87a0,
+    0x46c59af0, 0x09665a36, 0xc16026dc, 0x6743d268, 0x5664ef9e, 0x05ac48a9, 0x7eac63fa, 0x2b4f9ce0,
+    0x697bc271, 0xcd9c1a6a, 0xaac782bc, 0x4066aac5, 0x3d46dcd1, 0xe123f022, 0x8e2964b8, 0xb2e4c71c,
+    0xa6aa0cf8, 0xee9eefa6, 0x4ae0fbc1, 0xd588052c, 0xe72d4d23, 0xacdb2e59, 0xbb6f9861, 0x5b78ce72,
+    0x354fbeab, 0x2c859b49, 0x6a169ddf, 0x481bac8e, 0xfe8e70c6, 0xe68d500c, 0xf3cbbdf7, 0x3cb22733,
+    0xe330a825, 0xd2d8c390, 0xa4d2c52e, 0xd7487435, 0xcae20a6c, 0xb3b548ca, 0x6b87c309, 0x172512ff,
+    0x918658af, 0x69efb719, 0xa33718a5, 0x476cf132, 0xb443f4de, 0x20347250, 0x8e09b50f, 0xb18d9ebe,
+    0x675d87b9, 0xe83a42ad, 0x4db10a1f, 0xc0fa12fb, 0x2f5e4ad8, 0xaeac03bd, 0x6b423ee9, 0x8fba2239,
+    0x1e2a1c95, 0x7b39e58b, 0x30c881d5, 0x28fc738c, 0xd711384d, 0xde9379d4, 0xb3cd47e2, 0x28bc8f60,
+    0xa49213e4, 0x36896ffa, 0x2f282abb, 0x0ecb118d, 0xc1f1bbd3, 0x4a763a1b, 0x02da0119, 0x49f666b4,
+    0xf03524c3, 0x7ebf81b8, 0xac981ddc, 0x0a97d763, 0xb75776e8, 0xa7ccc8d0, 0xc21b8cd4, 0xfb198188,
+    0x0864830a, 0xafc0da42, 0x52701091, 0x411d743c, 0x85f05618, 0x5c788cbb, 0xb008149b, 0x208dd948,
+    0x43f2245b, 0x95c7c053, 0x7140f8f7, 0x33d4eb5e, 0xd42b4722, 0x344738e9, 0x3f68051d, 0x064a0103,
+    0x3a88d85f, 0x4e2a7dbb, 0xe243d1fb, 0x76c3bcac, 0x79e27ed1, 0x79291c62, 0xbfe3f123, 0x6a137fab,
+    0xda144a05, 0x4c51f8e7, 0xf8555bfc, 0x8ea1188a, 0xdab9b41d, 0x592af16f, 0x510527d5, 0xcfb91c3d,
+    0x204f219b, 0xc683caec, 0x90cc7d7d, 0x9c736158, 0x10f1fa36, 0x011057c2, 0xc22851fc, 0x16daeb86,
+    0xe0cb268c, 0x452c4545, 0x15082a6c, 0x7292300b, 0x918c2478, 0x6ebfcb99, 0x66b47e53, 0xda0fb7dd,
+    0xeae577f4, 0x07b1d5bd, 0xd7de1175, 0x21b06b52, 0x3d73b7ed, 0xa87851d8, 0x944338c4, 0x10510347,
+    0x0e81ea3a, 0x176dc1f7, 0x5e317b24, 0xb779bcf7, 0x9bab8324, 0xacfcc711, 0x53f2a5f1, 0x2d21c667,
+    0xba11a836, 0x4c7facd7, 0x6d59f0be, 0x6f7876fc, 0x976e1395, 0xe892f38a, 0x6306f89d, 0xe0f1d4a4,
+    0x97c67eaa, 0xce785cd4, 0x7f60c830, 0x19b626d4, 0x0130aab7, 0x53a09338, 0xfd0ffbcb, 0x2bef4c9c,
+    0x620d9b22, 0x39f0a026, 0x36738dd1, 0x5606f653, 0xfc22a40e, 0xea93e5f2, 0xb2acded0, 0xe8d8d329,
+    0xc1711ecc, 0x383e4fc0, 0x70da20de, 0xc8270638, 0x412b1fcb, 0xba6dc0f7, 0x97949889, 0x197cc222,
+    0x915dd43c, 0xca15eea7, 0xe83b4516, 0xb664546d, 0x51cc5b5f, 0x1e1dd576, 0x4f902a99, 0xf3f75dcd,
+    0xdfcd92d4, 0xced3afd1, 0x6be81fba, 0xc39a1d22, 0xa0fe080d, 0xc52329e6, 0x751eef2f, 0x2e5adf0a,
+    0x6993f566, 0x0977e379, 0x02f03a3c, 0x0efc1665, 0xe6a52f64, 0x930eece5, 0x8d05147b, 0x5f3adbc6,
+    0x911ebabb, 0xc59bf372, 0x5ea6e1f4, 0xaf94e43a, 0xd56f449e, 0x8ae0aa29, 0xa3024c41, 0x9353d903,
+    0x1ba47fb4, 0xa0723898, 0x41c5fab2, 0x8deaa18c, 0x6f3582f0, 0xedb46b07, 0x2f1fe8dc, 0x1a0be087,
+    0xbef108bb, 0x1ce005a5, 0x2164b30c, 0x5c567a35, 0x424edd83, 0xffef1311, 0xfdc51cd6, 0x66f1bff4,
+    0x00f162cf, 0x0c2cefcd, 0x418513e8, 0x9c6dc625, 0xaf9972d9, 0x702e8ab7, 0x7b69fb3e, 0x505aa02e,
+    0xd154794a, 0xc7206223, 0xf4777c54, 0x33dd695b, 0xced99ce7, 0x21a71364, 0x09b7d695, 0x4a7bb70b,
+    0xdab46d52, 0x19b7857b, 0x89b8a700, 0x308d94e6, 0x4285160f, 0x90e6c2da, 0x2efd4bc3, 0x6cedad0d,
+    0xf3e444e1, 0xa762f524, 0x33188b6a, 0xb036d4b5, 0xc0c862d0, 0xf7636aaf, 0x5974e91c, 0xed5fcc8a,
+    0xe979f5da, 0xe606587f, 0x3af03504, 0x8ee8afe8, 0xc8be7e9e, 0x196b7526, 0xb25af766, 0xbfb1e80b,
+    0x58ec8790, 0x22fa2886, 0x303c1822, 0x392ae70b, 0x7327ac08, 0xc1b30d1a, 0xa5ea46c4, 0x975c9d60,
+    0x8a315515, 0x7b0916a2, 0x48928def, 0x9ac32715, 0x1e2bb753, 0x0efe4e69, 0x907a49be, 0x74cb5ec5,
+    0xee63fd9d, 0xa1f597ea, 0x2241dc2b, 0x933dcd52, 0x0567dc8f, 0x90643660, 0x1ee94162, 0xdc089f15,
+    0x708943c6, 0xbceaddb5, 0xb783a606, 0xe3e8f8ef, 0x1daa6a9a, 0x86174e38, 0x2490eb78, 0x4ef69fb6,
+    0x9e7240c5, 0x117f6fba, 0x5da53187, 0xf5c9ed2b, 0x142ca5dd, 0xce2af283, 0x8b8fdd39, 0xc963e2ae,
+    0x516b3b9e, 0xad3d384b, 0xaf915ff2, 0x7117bb5d, 0xce4e64de, 0xcd0b021a, 0x9f50f88c, 0x351950b3,
+    0x42f87404, 0x2b5c5c10, 0x08f20cb4, 0xb86d0dd5, 0x8d58761f, 0xfe5e4a85, 0xf3fc4124, 0x1e384c5d,
+    0x7eb64747, 0x3223a3a5, 0x6423a7c2, 0xdef48e03, 0xff76edc9, 0x817a65fb, 0xf1e21966, 0x44bf03f9,
+    0x48d358c6, 0x8c0335da, 0x483c304a, 0x287a1cfd, 0x0e8de26b, 0x766fcc2d, 0x0adc3fe9, 0x474acb7d,
+    0xe7e2b5b7, 0xc6b16c39, 0x09bf5b5a, 0xcf5e0e75, 0x2ec41096, 0xb0839e6a, 0x575fae28, 0x40dfe990,
+    0x3b41098b, 0x30eb58b4, 0x049d5371, 0x9177628b, 0x89da5368, 0xf43ed0cb, 0x04a9c4b0, 0x45c980d9,
+    0xb467784f, 0x7ec87c3a, 0x3e904924, 0x4c981854, 0x727b385d, 0x290d6c17, 0x87a7c588, 0x05a7fe05,
+    0x986481c6, 0x3e297b90, 0x74eb213d, 0x231b27c5, 0x89bd653b, 0xf7625849, 0x0c6729c6, 0xb88efc5d,
+    0x8a41dd59, 0x1caf346d, 0xb74686c4, 0xeebb9bc1, 0xe37fb36e, 0xdbb5e3dd, 0x73326791, 0x9e011829,
+    0x2e331d64, 0x19d82f41, 0x7232ef76, 0x63f526ca, 0xe7f74a8e, 0x39381da1, 0xa02faa1d, 0x447f4666,
+    0x36f98f4f, 0x711440f7, 0x8b27ede7, 0x7eaf6a6a, 0x1354fa0f, 0x12b2e798, 0xd7b57966, 0xfeda022f,
+    0xe2604a7d, 0x69469d9b, 0x1aaf47b7, 0x62d60b4e, 0xee37002f, 0x645e6c27, 0x8b74615c, 0xff2a5406,
+    0x52a7b40d, 0x53fd8638, 0x7368c665, 0xaaa7d2ab, 0xbc90573f, 0x9c339edc, 0x31de1e88, 0x489d2d3b,
+    0x82c26e02, 0xc15523d0, 0xd9281890, 0x44db33e1, 0xe1d6704d, 0xa0dce2be, 0x91820099, 0x743f3f97,
+    0xa05175a3, 0x93f68620, 0x96290cbf, 0xbd8360ca, 0x328a8a2c, 0x8a495fed, 0x6efe42b7, 0xfc174d6b,
+    0x3f6f9dad, 0xf9bcfa92, 0xb1e6f3ce, 0x54462039, 0x79254fa0, 0x92bd4055, 0xb897aab6, 0xb375f33b,
+    0x4def5bd5, 0xd57d8e64, 0x3c40b9f0, 0x11f61f04, 0x966c2951, 0x0371c2d0, 0xfafa72b3, 0x2e29c7fe,
+    0x7e5111e8, 0x449e2617, 0x798ece8c, 0x977cda44, 0x08e9888f, 0x3761de99, 0xfdc6152b, 0x91e00609,
+    0x394c26a6, 0x19c23152, 0xf881b369, 0xcf171026, 0xc3110978, 0x7f1a2f72, 0xe79309b6, 0x37ce6461,
+    0x17b5bf1d, 0xcd7123d8, 0x1deff11d, 0x7a43d3ba, 0x02c0d6c4, 0xc2617512, 0xec03c19b, 0x6b104262,
+    0x06043307, 0x83be0c13, 0x65309140, 0x38dd5308, 0x9b8f9cf4, 0xd4e36679, 0xc87df835, 0xed4f57bf,
+    0x6e26a4eb, 0x3e9c8da9, 0xf2528c4e, 0x372ab4aa, 0xbe6bb5a2, 0xd94ee3b7, 0xf178add5, 0xf7ec9919,
+    0xc23e0ba5, 0xe704da3f, 0xa4927b40, 0xf51675f2, 0xa82a9a34, 0xc51cb0fa, 0x49a16cc4, 0x18c2ec5e,
+    0xa0d66995, 0xbbbc1a0b, 0x01609385, 0x5c541419, 0xcb763c62, 0x0d28c3ea, 0x4e601f18, 0x947cc2e6,
+    0x00000000,
+    0xf675a9d1, 0x2d8abfc6, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000050216813883093446110686315385661331328818843555712276103168 */
+  { 0x00000000,
+    0x1e067d2b, 0xa76bbba6, 0x4110d441, 0x44f6733e, 0xb97e0428, 0xb59e129b, 0xccb70d72, 0x390b6a23,
+    0x1e5ae83a, 0x7c802fd8, 0x44e6df86, 0x0c926d6c, 0x4d47c11e, 0x232d6486, 0xda411102, 0x00df61d4,
+    0x3ddb6b5f, 0xab67721a, 0x54955f8f, 0x25809b6c, 0x16518801, 0xfd0aa19a, 0xe9a10cca, 0xbdb4e7a0,
+    0xe0430d04, 0xbe8b8ca0, 0x0f1ad88d, 0x4d2685f4, 0xda65b85b, 0x13f5e569, 0x539da1d2, 0xf7825f10,
+    0x72b241ea, 0xb373ba02, 0x9ce6bb74, 0x0beb76b8, 0x2bae80a0, 0x4f8fb279, 0x517ff66c, 0x8d68c4c9,
+    0x1c78ea89, 0xd76cb30f, 0x27e286a0, 0x7a4f93c6, 0x1dbfcb16, 0x0fa6b4df, 0x3e2a9648, 0x031f553f,
+    0xa2cb945f, 0x2f2c36b3, 0x09670042, 0x59073089, 0x1022bac9, 0x25878ceb, 0x9290b3e2, 0x0c90debc,
+    0xdfc0ec9c, 0xb8cea7e3, 0xf70b3638, 0x6fbd85e9, 0x8346152a, 0x56c3f5f6, 0x0752912a, 0xc1e83698,
+    0x8cccaa6e, 0x92532653, 0x7e21d682, 0xbf5b2f8b, 0x3392d5c3, 0xc74d1b78, 0x5ad6633a, 0x4741027e,
+    0x65672ff6, 0x4ea50e3e, 0x271bb2ec, 0xd49c1feb, 0x0f9fc6de, 0xaa84be57, 0xfc3723e3, 0x7a4e4775,
+    0x66e3d6d8, 0x8c296deb, 0xab42bc84, 0x96c0f073, 0xa3610833, 0x682a6116, 0xcf1a175e, 0xde8c8b93,
+    0xe98e06d1, 0xbfead6cc, 0xa54973f3, 0x4a4127f0, 0xb48f0479, 0x6f4df56d, 0x7f25e558, 0xef4408c2,
+    0x4f0f08c4, 0x91eaf651, 0x6dda502b, 0x223ed196, 0x748114c9, 0xdfc422fb, 0x81558eb0, 0x45b3a142,
+    0x6d90fe3d, 0x0902b857, 0x5f0ae826, 0x20faae5b, 0x323186ed, 0x01b06b55, 0xcd055c8a, 0x7a30d394,
+    0x38d78845, 0x827f8614, 0x7fbce64a, 0x7f3529a9, 0x2a10cd3c, 0xa09879fc, 0xcdf1dfac, 0xfa02eaf7,
+    0xb16fbb9b, 0x2222cc3e, 0x2318c53f, 0x22fa0c10, 0x34b7db31, 0xc6bf10ae, 0x15e04990, 0x7a1e625f,
+    0x56e9c7ea, 0x106ce024, 0x6ca1bf5d, 0x89de733d, 0xd4e63fd9, 0xb238c028, 0x72bd219d, 0xc37ce1e7,
+    0xa7ecb0cd, 0x750e8a93, 0x71f24521, 0x753cc2b0, 0x74196092, 0xd311e544, 0x8e32a387, 0x75999c8c,
+    0x51f8b054, 0x98840a6b, 0x23616e74, 0xfed54f49, 0x14ffbf9d, 0x2c7c929e, 0x588e1886, 0x7a2d1231,
+    0xa3c230f8, 0x94e2bde9, 0x0f2c3955, 0x18f2767f, 0xc0d63c10, 0x54fb2090, 0xb69ec27a, 0x442e5329,
+    0xc77adfe1, 0x577c0713, 0x02e91b06, 0x7d840510, 0x796a38fd, 0x5d4cabc5, 0x126ff368, 0x9fc1c381,
+    0x5f83385f, 0x92c4d09f, 0xa5406d3a, 0xf4751b3f, 0x48005cd4, 0x31a9f707, 0xd65e0101, 0x508248b9,
+    0xd6e183a3, 0xe242487c, 0x6cc8bebc, 0x1d50b193, 0xe12704d1, 0x0a682447, 0xc59ca1ba, 0x9f29c132,
+    0xbfcb0fab, 0xfc9139d3, 0x915ec75f, 0xb7cb90b6, 0x6231571b, 0xc922e13d, 0x5a47fba2, 0xecf3ca72,
+    0x0f5a1dfd, 0x40cdbaf6, 0x6ea7051f, 0xbacbaf29, 0x3c38201b, 0xbe86ee78, 0x69ecc43c, 0x8caf2165,
+    0x4a160f22, 0xc19dde80, 0xc8b75415, 0x27560c24, 0x63a8535c, 0xcc4bfe09, 0xba3b55b4, 0x04d8664b,
+    0x88434a23, 0x7e521212, 0x7195d5bb, 0x4c13d464, 0x23bda278, 0x31f63dce, 0x19d1d7e3, 0x11aa5863,
+    0xe44186f9, 0x2f6a3179, 0x31fbe1ed, 0x5c9188c1, 0xbfce121c, 0xc78542f9, 0x341dc9b5, 0x1d0398d9,
+    0x168d3982, 0x1f4d056a, 0x345002df, 0xbdfeb627, 0x65e56353, 0xd90bf96d, 0xec7a1dbd, 0xeb669628,
+    0x01f8f5c3, 0x0c5cdfa9, 0xfd32d437, 0x8a149a51, 0xff2c4b43, 0x09f8dd0f, 0x224eb1c4, 0x48c620dc,
+    0xd3de4bf1, 0x8f70947f, 0xc6feafbc, 0xb87e2a60, 0xcf0ee404, 0xd8594942, 0x0cbe8967, 0x4f108a8a,
+    0x94f9d7b1, 0xd84a05a6, 0x4f71fd11, 0x44e38a7c, 0x8262edc5, 0x9df57ba6, 0x0bd38f38, 0x7adb4810,
+    0x4a2a8950, 0xd709d1fe, 0x115ba2a6, 0xb2c80a03, 0x76cd15d5, 0x24f308c3, 0x98f73f2f, 0x56347034,
+    0xd6e83c30, 0xdee447c7, 0xe9d22da2, 0x26a3474d, 0xce367199, 0x557e7ce6, 0xc3ba05c8, 0x2dc24aa2,
+    0xb5294a47, 0x11f4b7a3, 0xf5d00947, 0x71cbb0f8, 0xbbe525aa, 0xe77d85b8, 0x9000776e, 0xeb77d582,
+    0xdbe81356, 0x9935b164, 0x77934196, 0x73f47713, 0xf79b0257, 0xe71cc4cd, 0x30e1ab94, 0xa8c62b99,
+    0x01474622, 0x57f4c805, 0x503d7d96, 0x51de3934, 0xed897b5b, 0xa2531441, 0x94c377cc, 0x66ba22e3,
+    0x1e695d4f, 0xf494d6d4, 0x1513f4c1, 0x970126fe, 0xa75c0956, 0x3b215871, 0xf37f805a, 0x0541f468,
+    0xf66c852d, 0xa02fac4a, 0xd10d31fa, 0xdb67262d, 0x952b06de, 0xaf621379, 0x824bc44f, 0x108b8641,
+    0xdf8120be, 0x7a2b9ed6, 0x3d7aa43a, 0x4f195b58, 0xd27e2d5e, 0xa830604e, 0x2047023c, 0x6bc665f8,
+    0xfa0ef9f4, 0xaecc5fc2, 0xd16a7f2e, 0x1091bcd7, 0xa6e7f8c9, 0x625ebed3, 0xbd98a9d6, 0xe8a342fc,
+    0xbe73a56e, 0x1cac4f6b, 0x3dc64c27, 0xd54bc62f, 0x5ece4da1, 0x3a2c98fa, 0x8c68e4e5, 0x235de665,
+    0xb29635bd, 0x578878a4, 0x6fa04575, 0x4b53c71b, 0x6a6c2a2a, 0xe5f7a8fd, 0x05bfeb5f, 0x5cb8d306,
+    0x3c386860, 0xd4ea8bec, 0x80e1035e, 0x8a9c9e5c, 0xa509ea95, 0x6f6cb3b0, 0x6a5bef2f, 0x14f93aad,
+    0xbf17a933, 0x101f7b34, 0xe19905e1, 0x322035fb, 0xc907e5d7, 0xfcff9a2b, 0xcba6dfff, 0x6942072f,
+    0xfcb25519, 0xa2bb0d52, 0xfa048170, 0x41698c14, 0xe5c8f8b9, 0x6be79704, 0xae655703, 0x36ffe945,
+    0x00d0d675, 0x2ddc42f0, 0x6a89fe8b, 0xdd80dcd8, 0x5a65cff5, 0xd26d437a, 0x23659c34, 0x5791cf12,
+    0x297c0cf8, 0xfd8db9b9, 0x3a002fcd, 0x867c5d2c, 0x96f8a5a4, 0xebb45929, 0xdd6d4f72, 0x968bd5c4,
+    0xe0376bce, 0x7285721a, 0x7d788be9, 0x454a95fb, 0x69886cdd, 0x445b3b23, 0x02300de5, 0x559a9992,
+    0x3e234b0c, 0xcefc20dc, 0x30cb2cd5, 0x9439f8eb, 0x1f3bbf46, 0xbb4f8d61, 0xd9456e01, 0x1abc79c6,
+    0x546b64ec, 0x2ecaaa65, 0x44c4cc9f, 0x8a0feb0c, 0x64db1d71, 0x8a7a18f3, 0xae7d7b39, 0xd5364bb4,
+    0x16de88ea, 0x852d94bf, 0x9bcde766, 0x8e0407af, 0x82f5bbb0, 0x58607afa, 0xfc64483a, 0xa4eab81c,
+    0x9647b2f1, 0xf0c948a7, 0xb5163632, 0x44ba6989, 0x17fe9ea1, 0x05258bc7, 0x7705f305, 0x6c6e3ad1,
+    0x1dd3425a, 0x9c39281c, 0xf2b942bd, 0x86d3c975, 0x59ec8c58, 0xc1a8590e, 0x695cc83b, 0xd671ed89,
+    0x8e091c6b, 0x1cbb8880, 0x9b33cd8f, 0xc0fce741, 0x61e37e2f, 0x9483abb6, 0x1839ea8d, 0x8571f0d1,
+    0xea80e8cb, 0xf4164550, 0x90967c65, 0x38a8cf40, 0xd8de820e, 0x74c76077, 0xefa20f23, 0x80e966ea,
+    0x6b271592, 0x59ce3627, 0xf3479c06, 0x9ad6b275, 0x43651604, 0xa66fa065, 0xb13bff4b, 0x1627abb8,
+    0x2db27542, 0xd5b1d943, 0x5c7e88f0, 0x6f449efa, 0xccdf543f, 0x20f16c71, 0x7b86291c, 0x68d0f26c,
+    0x004a2f88, 0xc4dced91, 0x5e45186e, 0xc1c634a2, 0xa832361f, 0xb9739fac, 0xe5b03b9f, 0x0a2dc778,
+    0x203e187f, 0xe66be03e, 0x0c002f2b, 0x374fa4c6, 0x026ac36e, 0xbaf52262, 0x43d94a6d, 0x4c68d8b1,
+    0xaa16c04b, 0x497df085, 0x389fa36e, 0x3926c271, 0x023f99d7, 0xbb3eb2b9, 0x9d708392, 0x22bcd82a,
+    0x5269745f, 0x9e289b54, 0x890dc1b3, 0x9da123e0, 0xf6b14a5b, 0xf2520efb, 0x59fbf469, 0x0573552b,
+    0xd418dc34, 0x3916febe, 0x0b16b5c1, 0xc0fa7213, 0x9de6fa12, 0xef65e57a, 0x171a6475, 0x2a0eafa0,
+    0x65412b6a, 0xfba7c84a, 0x12237634, 0xb6ca93bb, 0xf4be34c6, 0x3eecb06d, 0x73139823, 0x1ee38c41,
+    0x2c8b9805, 0xd32b8393, 0x199eaead, 0x579ce383, 0xb3c9d9b6, 0x95544270, 0x23d3c5d3, 0x0c25ab8b,
+    0x72a0ed30, 0xab1b87b4, 0x57d203eb, 0x4add6b17, 0xdad55a90, 0x0e8d5acf, 0x22dc46d1, 0x5d9ec0d3,
+    0xe0a13138, 0x526a7e5e, 0x0836b8ad, 0x95ac454d, 0x3b9628ec, 0xe98761dc, 0xf7e3bdb6, 0x01452025,
+    0x2ddc48dd, 0x285e8a73, 0x85058aeb, 0x990a1a51, 0xc1c333f3, 0xb8794245, 0x4deeac93, 0xfd2f8673,
+    0xabdcb4ac, 0x772bda15, 0x4fec989d, 0x7c274326, 0xc6974f8d, 0x4fe48de8, 0xd3c398b3, 0x822373ab,
+    0xc7d17ea4, 0xfd74770a, 0xd2171128, 0x272a15a8, 0x8afc160b, 0x1a3685a6, 0x64eec0b3, 0xfae0756d,
+    0xd795ea3a, 0xb4a48320, 0xf6e59369, 0x464c00e6, 0xc6391b9b, 0x1d129910, 0x26c6100e, 0xa25f6533,
+    0x8abdd696, 0x653d8a3c, 0xf266af44, 0x26ff7de7, 0x079674fb, 0xcec9f3d4, 0xcab38246, 0x79c4b902,
+    0x94964408, 0xa1a05e2a, 0x59ffb95c, 0x9b9c5412, 0xbe068cb2, 0x67b2a2b2, 0xe6d998ce, 0xd6be294c,
+    0x6f5f3b26, 0x0afe1bb8, 0xc8412136, 0xbd3ba529, 0xa9619cd2, 0x96c3182d, 0xf1425f2e, 0xa5aa9c56,
+    0x287367ef, 0xd3b80296, 0x4ccc14b2, 0xe7526421, 0xcc90378e, 0x359e11e9, 0x9f9e031b, 0xa4d8401c,
+    0x89e2fcb1, 0x8eb37ca8, 0xa5ee345f, 0x90cbd76f, 0xcb322ef0, 0xcce5c8bf, 0xf15ae291, 0x5593a87d,
+    0x06751b6c, 0x885b256e, 0xce4162a7, 0xea474476, 0x2c6244e8, 0xd0941cf7, 0x3df9c4b8, 0xe5f3e7ce,
+    0x186ebdbb, 0x041a377f, 0x7774ae4c, 0x83181fdf, 0x09220280, 0xdb96a95b, 0xa0646765, 0x046dff6c,
+    0xa1240772, 0xd5d46cd3, 0x17122d8c, 0xb1ec76bf, 0x5f98e694, 0xd1f28769, 0xf610cd22, 0xb2bfaaca,
+    0x4cb523dc, 0x274d4fef, 0xb228ea25, 0x87598e5e, 0x0c724d57, 0xcc7a82cd, 0xdc4ebeb0, 0x1e55afce,
+    0xa9ff0ea2, 0x17fc2228, 0x89264fbc, 0xd0e99df8, 0xa67b7c52, 0x30bf322b, 0x45984da9, 0xc15fbbe5,
+    0x83b21dca, 0x52332865, 0xa3efed4f, 0xf7c4fc06, 0x8d0acd16, 0x5879d6ef, 0x9613fc43, 0xdfaecd39,
+    0x87e7020f, 0x9fdf8eab, 0xba89bde5, 0xd0fe7ae9, 0xe92b9d25, 0x286dcfdb, 0xa6153f65, 0xa5a3457f,
+    0x2688d759, 0x1ea76bfc, 0x59f06eb9, 0x8839ae35, 0x29130eea, 0x25091d90, 0xfebda971, 0x39fac967,
+    0x9bb28d4e, 0x37decf0d, 0xcfd45bbd, 0x92646ffb, 0x5b24ac27, 0x74028210, 0x256eb183, 0x7f78ae76,
+    0x7410a865, 0x5b283a0a, 0x45ee6d81, 0x2a899685, 0x751f9796, 0x267f38b6, 0x42a4c9ef, 0x884b714c,
+    0x93d64d22, 0xaa87a25e, 0x99354226, 0x55edfc43, 0xc54e224b, 0x1dd3f7a3, 0x3cb0e101, 0xeb91ab49,
+    0xe257e6eb, 0x460eebd6, 0x65262273, 0x569ee090, 0x9c479f63, 0xb0e94cb3, 0x98380230, 0x6c45e663,
+    0xd2f0fe17, 0x739f1624, 0x4611fb0c, 0xfa079116, 0xf16d3a27, 0x64f19dfb, 0x1b0aa321, 0xee35a628,
+    0xbb0c43a9, 0x239a9167, 0x2d0692a8, 0xc9ff44f6, 0x3ed8a4bd, 0x2607b690, 0x507be2a4, 0xae83bc49,
+    0x2727ad7f, 0xa617b31f, 0xcafc1bd7, 0xb3cd6218, 0xc6b9f27b, 0x45b44f0a, 0xed79a425, 0x9d5504a4,
+    0x4aa0e740, 0x4ce509be, 0xfe16b558, 0x316fd8fb, 0x7b6d381e, 0x177a3bc3, 0x1f717397, 0x3a45a319,
+    0x29fbbe21, 0x289fadf1, 0x0b15f064, 0x600f66a6, 0xc8bcbb42, 0x6ade1394, 0xc45fb2bd, 0x78c351e2,
+    0x68aa43a6, 0xa64098f1, 0x28e21576, 0x872021c0, 0xe6b26955, 0xc9b3c9ff, 0xe22e04d5, 0x656f0e94,
+    0x742328b1, 0x24796b97, 0x93a4edab, 0x8d20eb25, 0xe2d8d204, 0xce1b3dac, 0x261ea2f3, 0x0e1072d5,
+    0xad5dbd2c, 0x79dfedb8, 0xb1b9c709, 0x47daab8d, 0xa95e2d28, 0x13ed8f9d, 0x44b03f43, 0x64e4a3d4,
+    0x91276b14, 0x63ab0a06, 0xbb485dec, 0x267b4970, 0x40ef39c8, 0x932d08e9, 0xbd226ee8, 0x6b9caf90,
+    0x23f9b61c, 0xb1eda1b9, 0xa53e968c, 0xfc1b9fc8, 0x9ee95993, 0x10ec3d31, 0x02e92b66, 0x70bea314,
+    0xe549c3be, 0xb2a111b6, 0x3b9b6a75, 0x4195645f, 0xc876321e, 0xd0d5e8e6, 0x60b2f67b, 0x813e9fdc,
+    0x8b9a3e94, 0x23128733, 0x199d19b3, 0xbdfc8271, 0x39d91718, 0x886d9340, 0x03f02482, 0xaa536aa5,
+    0xa9c19130, 0x82e7194c, 0xe9ad9f44, 0x5f0ce552, 0x3aa8e162, 0x8d0db306, 0x522b6457, 0xa8ab5651,
+    0xf9648ccf, 0xe33751f2, 0x702dd049, 0x0d53b375, 0x51c5d304, 0x0a21ebcc, 0xf23e7883, 0x857f724e,
+    0x2563a979, 0x4a2420f1, 0x66a0e0c0, 0x8c5d4595, 0x2505c2f6, 0xe56e5200, 0x70b8fa78, 0x913b7a1d,
+    0x892c897b, 0xee94c97e, 0xf496d264, 0x36dd8469, 0x1f30d3fb, 0xfc9e2ef3, 0xcdaa26c5, 0xbf99e1f4,
+    0xe2cec1f8, 0xa9ce0e7a, 0x2075db9c, 0xa05d1b23, 0x35b58afa, 0x72a467c6, 0x4a028237, 0xb54341a4,
+    0x70628557, 0x36f1c77b, 0x0d225c81, 0x48932c58, 0xcfacd55d, 0x16c0189a, 0x86813cec, 0x587650ab,
+    0x321e5d88, 0x239927bf, 0x68e5f5d6, 0xa9064c78, 0x1f2dd5f1, 0x217bdefc, 0xd7638593, 0xff1ceb54,
+    0x884dde75, 0x1de3eb8c, 0x6084cf8d, 0xdb3f09ab, 0x7ca2fd2b, 0xa49b87fc, 0x6d209543, 0x6ef92a58,
+    0xad8dd166, 0x24a9ae9c, 0xfc38544e, 0x6d061cde, 0xc22b0a43, 0x0ac17618, 0x860b6869, 0x60d6f255,
+    0x6d3470bd, 0xbfaca48e, 0x51d04b3b, 0x57a6d676, 0x1d948053, 0x01fc8d27, 0x1849939c, 0x5a2f99df,
+    0x4855c2f6, 0xcbd0755f, 0x6e864761, 0xc2540a93, 0xf97fb2df, 0xd0f4acef, 0xf8ebba6b, 0x986816d4,
+    0x9f632485, 0xc0eb0893, 0x97751ebf, 0xf6715f4b, 0x213196dd, 0x272c1f2b, 0x34bc6b12, 0x1b873214,
+    0xbbe219ed, 0x551a88a3, 0x966e9140, 0x66f0da2e, 0xa6622f92, 0x3b7c7751, 0xb0c2a4bc, 0x948a8fef,
+    0x65c64b0a, 0xca1333a3, 0xb20874f0, 0x3ba0f810, 0x308e522e, 0xf10b9145, 0x9c4eacb4, 0xe1a28fe0,
+    0xc3812456, 0x80696d45, 0xb886da04, 0xde6177f4, 0x3f92fbb1, 0x625c2ace, 0xc7ea05a3, 0xb3bb0343,
+    0x6d45299e, 0xd5338fbc, 0xa08809fc, 0xe3739ac4, 0x815840e7, 0x53360b18, 0xffd47506, 0xbd143b5e,
+    0x6e775cd6, 0x5f16e346, 0xa8d01db2, 0xd8d31bc5, 0x78dde2cc, 0xdf2fec42, 0x22619087, 0x9e74ca81,
+    0x36deab5e, 0x64f80921, 0x03e3c4eb, 0x77d747cd, 0xc9b1fcf0, 0x97af5fc2, 0x6a3d02f7, 0xf0eb7165,
+    0xf93977d3, 0x24850265, 0x4bc973f8, 0xbfcdc7e2, 0xe9999841, 0xf5ba3dae, 0x51e4c1cf, 0xf898b469,
+    0x8ffcdb05, 0xaca26adb, 0x77a6c155, 0xeb43d78a, 0xc2a008a5, 0x520a6d93, 0x7419c35c, 0x3abab647,
+    0x41a1d109, 0x2aa4bf38, 0xd71fc57d, 0x8493d215, 0xe9b6d744, 0x048f3198, 0x588ed9d5, 0x22d804ee,
+    0x07152f92, 0x5556229d, 0xc61a1f46, 0x050d4d43, 0x506ffe4f, 0x61f90ebd, 0xc230c10d, 0x6c014f20,
+    0xeba0fbb3, 0x2a4deaef, 0x1d38a4e7, 0xc3b85a5d, 0xe902f9e6, 0xbe2de6c5, 0xc2c7df24, 0x06fe7013,
+    0x67942acf, 0xa0ec6b6a, 0xc805542c, 0x85b54cc5, 0x7a413312, 0x9f42b7f7, 0xb80f8d9c, 0x1e0223c0,
+    0x4a584398, 0x919b719c, 0xe0878060, 0x81c7d9ed, 0xabb0236d, 0xe432c6c0, 0xcdc36ffe, 0xd2bcfdeb,
+    0x0236844d, 0xf5892604, 0x800883ff, 0x4aea7e55, 0xf127cb36, 0x1977e5d4, 0x6803cb71, 0x89dd16e6,
+    0x00000000,
+    0x7b3ad4e8, 0x96c55fe3, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000025108406941546723055343157692830665664409421777856138051584 */
+  { 0x00000000,
+    0x09c94870, 0xba6b97e7, 0x90bbf570, 0xfbce5db7, 0xeac9828e, 0x657c3267, 0x733b8bb0, 0x2f350eb4,
+    0x9f626a91, 0x2efccf45, 0x53462722, 0x81577cd3, 0xb1d6fe5b, 0xf23f1664, 0x0bb70800, 0xfabfb81e,
+    0x79e3a9c7, 0x7a3e5d6f, 0xb44f7478, 0xe2b0a18f, 0x02055834, 0x271a24b4, 0x9b44c536, 0x3916cee8,
+    0x0af75ba0, 0xf048ba62, 0xa7b1a894, 0x529165ad, 0xe8c38f0f, 0xcaf96deb, 0x7880b472, 0x65e30a3b,
+    0x3baa0b09, 0xa4574f80, 0xc41422d7, 0x890a958e, 0x6d4985ff, 0x6b9ce28d, 0x729fbffc, 0x9536cf38,
+    0x96626d8f, 0x0148928e, 0x20330875, 0x73bb863b, 0x1cc969cf, 0x179aa12f, 0x46e16a60, 0x81311e08,
+    0x46e62c03, 0xfc8958c4, 0x9b80a297, 0xdf65abf2, 0x52482f7b, 0x6f5604dc, 0x327ebe1c, 0x23651153,
+    0xd9766504, 0x4afc3503, 0xda0dd337, 0x1036ee0b, 0x3eda69e2, 0xad5de59b, 0xd289a32a, 0x8af41bb7,
+    0x0c37597d, 0x9117c69f, 0x176b1e06, 0xa40c5808, 0xccda74f3, 0x39b953ea, 0x14bf97c1, 0xaeb2fa19,
+    0x097f5759, 0x879bc8be, 0x2a8e607f, 0x2868cd84, 0x32d7d51d, 0xacdae0cc, 0x3612a779, 0x2220ddd6,
+    0x29ce7cab, 0x9b9a30d2, 0x7077a600, 0x71cf0d1c, 0x95c2ad1e, 0x6513ab3c, 0x346e0687, 0x0f8f62ae,
+    0xcde0f8f4, 0x44ccf36b, 0xc509c7ff, 0xe3bb2864, 0x44a3a36e, 0xddceb3fb, 0xd28abb5d, 0x31dde230,
+    0x1ea7fecc, 0x5af41a23, 0x01a06129, 0x28d08dbd, 0x4fa809ce, 0x70f44724, 0x6f5223dc, 0x21e7fa3e,
+    0xafbe41f9, 0xb36db619, 0xd42d00b9, 0x370e14ae, 0x35ca3617, 0x986b41b3, 0xa5c94808, 0x012d076c,
+    0x26d017bb, 0xe567035b, 0x3e43b351, 0x0c71d83f, 0x111422e7, 0x61e5b2bc, 0x3c9bfbd6, 0xfb15ca78,
+    0x98d7e71f, 0x94c1c340, 0xd056f047, 0x372a0392, 0x8ded74e8, 0xf56f929a, 0xfdb368ca, 0xfd90053f,
+    0x90af2d18, 0xca088a31, 0x168902e8, 0xd8289f22, 0xc61dceb6, 0x9f638fe5, 0x7cdb3a39, 0x497556ee,
+    0x4ad430b6, 0x1a3816b6, 0xa5923e3b, 0x461c34ce, 0x93e72e47, 0x5c149753, 0x8e3c4866, 0x6e5847d3,
+    0xf90529cf, 0x077d09e0, 0x310abf88, 0x58e547eb, 0xf32d494b, 0x14474ad3, 0x8d7d0c05, 0x008a4fa4,
+    0x7391d3c0, 0x83608c0e, 0x220b98aa, 0xb996c1b0, 0xf8626609, 0xab702698, 0x45fe64c9, 0x9282e1e5,
+    0x5f766d35, 0x77132d37, 0x36f226e1, 0xea2fa394, 0x4fab0e31, 0xb5b11f48, 0x1d981316, 0x6fc50548,
+    0x1ede9ae7, 0x6459ce6c, 0x0ad31b46, 0x8af4e106, 0xa9e5a877, 0x909a7b55, 0x105d110b, 0x5089258d,
+    0x3eedd63c, 0xebe6d4ac, 0x356260bb, 0x40d364bc, 0x8524cb0f, 0x85a6c9ab, 0x22c6bcbc, 0xd36f83d7,
+    0xd10db6c6, 0xabaf06ba, 0xbbd4eff3, 0x174d53d8, 0xb268bbf6, 0xf4e401dd, 0x00a59f20, 0x01c09e89,
+    0xc85de6ea, 0xdec37d81, 0x60e3fbc7, 0x52e27867, 0x9294f6c3, 0x3948c1f5, 0x7d0b09e0, 0xe6b6cd30,
+    0x70fc8209, 0x64ab770c, 0x286a642b, 0x0aa497f7, 0xb46f201f, 0xf9e425e8, 0x231317a3, 0x2ac22334,
+    0xbd628c4f, 0x0bd6280e, 0x674dcf1a, 0x8500ebdb, 0x1f723463, 0x716f2a55, 0x20576169, 0x5fa39af7,
+    0xb139ac47, 0x0b6f9bb3, 0x690a61a0, 0x617bd8f1, 0xc30e50f0, 0x5ca88d57, 0xcf6b06ac, 0xcd926724,
+    0xe71a854f, 0x0e23863b, 0x915f648d, 0x4c1d694b, 0xeffb109d, 0x57fb9511, 0x521f7457, 0xddd8943a,
+    0xc2ad0d56, 0x987a654a, 0xecc4eebd, 0x195b0169, 0x6fc57b91, 0x8f91980a, 0x9c39feee, 0xc27a3a30,
+    0xd3c9df35, 0x8c0f5293, 0xc4276944, 0xcf9cc9c7, 0xd48fea37, 0x1cd53feb, 0x10e0d87a, 0xad5a749d,
+    0x73cde4cf, 0xe1d93343, 0xc02a5448, 0x690c8442, 0xfe07e0a2, 0x3b19c3a5, 0xe91cb146, 0x32a039db,
+    0xef10a929, 0x996e841f, 0x7518d59e, 0x1bcd0329, 0xd959fbbc, 0xee2ee8cd, 0xffd8b1a0, 0xe12cc8bb,
+    0x57bb1ffb, 0x6d3ea247, 0x07b3131e, 0x35980623, 0x3e1c6ac3, 0x02265c0d, 0xb7e64166, 0x18294f2c,
+    0xcc6c8ca0, 0xc2fd045f, 0x8bb2d0bd, 0x62b72ede, 0xcf88f65b, 0xc9c230cb, 0x89a98fa5, 0xa44010c4,
+    0x4576bddd, 0x2a5c0440, 0x98d88b41, 0xa5208a5f, 0xc631b800, 0xbe8951f3, 0x655853b6, 0xc83e072a,
+    0x83f7a95f, 0xe6f54533, 0x009c649f, 0x8a79ec99, 0x30be19c3, 0x4d9fb0a1, 0x43e3700d, 0xc91dd96c,
+    0x6d5b6db8, 0xb9731844, 0x812a8d15, 0x80a2ce69, 0x80a7b014, 0xcd28360a, 0x562975d0, 0xd973c858,
+    0xabb0a9cd, 0xee79f81b, 0x464384ec, 0xb97bf9b4, 0xbfe24470, 0x045d0005, 0xe288c10f, 0xec480547,
+    0xddf84b53, 0x4ebf5fd4, 0x9614eb65, 0xe8efbaa1, 0x9b0f4264, 0xfadc70da, 0x41553ea3, 0xa31484de,
+    0x2e8bdf30, 0xf339fa70, 0x41b7de21, 0x1a37166a, 0x038bf8bb, 0x1c48c353, 0xf8d3f82c, 0x492c8476,
+    0x50511619, 0x80c94e95, 0x0d7d98a3, 0x433e18d1, 0x69fac669, 0x18d8b067, 0x397949df, 0x4bc7753f,
+    0xf8243656, 0x358da95b, 0x68031541, 0x84215a48, 0xc71afa8b, 0x6f0a6e79, 0x17de622c, 0x154add99,
+    0xf8b86d4b, 0xd62dfa65, 0x0c37d4c2, 0x51fecc9b, 0x6dae18a8, 0x3f58e0cf, 0x50f5202a, 0xfda72709,
+    0x6a85602a, 0xb74c036c, 0x154a3bb9, 0x425831e7, 0x5c192596, 0x08c54f89, 0x6eb87904, 0x69bd1462,
+    0x5e35cb32, 0xcf2c8875, 0x2dade1c3, 0x163d1fa3, 0xd581f286, 0xa3d2f79b, 0xa1594a2e, 0x73af5320,
+    0x763b25c1, 0x0130da01, 0xf39fa353, 0x71fc83b3, 0x5b2b7562, 0xa16c849e, 0x4d21a285, 0x6d8bc061,
+    0xd7530eeb, 0x70a8cb51, 0xe6e64f04, 0x6e3c03d2, 0x0b348b3e, 0x31d9f888, 0xf3d4df1f, 0xd8cb2789,
+    0x14d0939d, 0xc75b33de, 0x335d4925, 0x3e19711b, 0x5cb83516, 0xb3734094, 0xba0c4d75, 0x2eebb0bc,
+    0xa1639edb, 0x4361282a, 0x5610f4c2, 0xb8969d1e, 0x03bbaa2d, 0xcbae8145, 0x2679d127, 0x7506d8e0,
+    0xbf889797, 0x32c4cd6e, 0xc9d95d80, 0xab704916, 0x9f786095, 0x4e77c801, 0x93bd1aa8, 0xd13eccc5,
+    0xc718e2e2, 0xb2c73920, 0x2649d436, 0x95ee0bbc, 0xcb4827f1, 0x4242b2bc, 0xdf66f3b5, 0x9383e227,
+    0x9d85d33f, 0x1ea47818, 0xa7aa7ef6, 0x4336d439, 0x29673525, 0xb7a3dad0, 0xe0323b3e, 0x281b0131,
+    0xe51eb492, 0xbb704369, 0xddb8466f, 0xfce4fd63, 0xbd8eed3c, 0xdf6c1367, 0x03586ada, 0x1a598159,
+    0xf53f6a89, 0x22255b15, 0x722ace29, 0xfd17f610, 0x2eaf9f95, 0x4a921fb4, 0x720d6f09, 0x0065b0fb,
+    0xc724d68b, 0x11f9183f, 0x5aa7718c, 0x051fcb22, 0xc4267330, 0x706ca45b, 0x2a451ad5, 0xb4f8fa3b,
+    0xd63632e8, 0x6467c3c1, 0x869503ed, 0xe4f625aa, 0x71477cb4, 0xb25f2a05, 0x1d1fcd94, 0x902d8672,
+    0x881fb55a, 0x01c9fdde, 0x75ae0f3b, 0x8ce881f6, 0xcc2c0c61, 0x855eeb00, 0xbd7cede3, 0xeb5aaca2,
+    0x8ec40e83, 0xba565a98, 0xaefa43ee, 0xc263dc7d, 0xa1e0a4ed, 0x9db8adf0, 0x3982e1c9, 0xb2a1a6c6,
+    0xd4c625da, 0xc98703b7, 0x11a2dc07, 0xf906746b, 0x6065412f, 0xd104177a, 0xfc63604b, 0x02683fdb,
+    0x8a89e4ca, 0xaadf32dd, 0xa1d7adaa, 0xee8c86a9, 0xe02f7aeb, 0x361a44f3, 0x160ffa3d, 0x5ab9973f,
+    0x47f7c71c, 0x9192fe55, 0xbb494ebb, 0x86087c5a, 0x4ff09757, 0x536daadd, 0x99dc2c99, 0x957d9e0c,
+    0x603f46eb, 0xa272c6c0, 0x4a6a9c30, 0xc12225fa, 0x70872ba9, 0x188b5725, 0xbd42da55, 0x9863a05c,
+    0x66bc788d, 0x61788504, 0x5d076acd, 0xb825b7ba, 0x7d979ab8, 0x6410ee86, 0x024f43a7, 0x7bd3f125,
+    0x5e2f0daf, 0xb42337a3, 0xbc28e820, 0x8bfcdf55, 0xdfcc9dc0, 0xd0547a37, 0xdc40f599, 0x6a0c77f9,
+    0x1aab32c3, 0xa579495f, 0xf937402b, 0x041afc05, 0xf89f5e04, 0xb1e5e5ea, 0x349b1572, 0x6fc2cab4,
+    0xe6e6cb7d, 0x07ca0229, 0x98e7811d, 0x99bb8449, 0xc8ca0bc7, 0x46697094, 0x6ee55271, 0x959f93a0,
+    0xd4e81c6e, 0x7f0d591c, 0x1dd2fec8, 0x7d83df74, 0x6069ea9f, 0x965bad73, 0xe21b3dd5, 0xe068cfc8,
+    0x0afbc2f4, 0x845a8727, 0x4dd2da45, 0x24099f17, 0xa5946f5a, 0x16200c3d, 0x18ad988a, 0xda6672c7,
+    0xe3e5d53f, 0xb0bf330e, 0x359fce95, 0xec9c236e, 0x4e45a97a, 0x1f6b4d22, 0xd0487c61, 0xcbc50022,
+    0x0cb2fd25, 0x4524a563, 0x1cbe41ce, 0xc62ac0be, 0x78130bc6, 0xfdae7baa, 0x71617662, 0x223caddf,
+    0x4db56749, 0xe576f172, 0x8ea65474, 0x66b61461, 0x206ba9e2, 0x3c140730, 0x4b4b5cc6, 0x77898f98,
+    0x90e9f00c, 0xbd723e5b, 0x6474df9c, 0x9e235e33, 0x611d11bd, 0xa437e0db, 0xd93dce70, 0xfb0064bd,
+    0x555a943e, 0xe7d011e8, 0x1b5cff80, 0x93f8d9da, 0xa05e10e1, 0xda0f2f88, 0xdc8c0f7b, 0x29c7cb8b,
+    0xfe80b530, 0x73e5bc90, 0x1ac7ae14, 0x42a0d565, 0x37e774c0, 0x26c12b67, 0x2898ae8b, 0x3b1100d1,
+    0xed609e89, 0x05e077a8, 0x9655325a, 0x7e0c4e39, 0x8a62812b, 0x26fb9871, 0x4ac51a43, 0x7aa45730,
+    0x73b547f7, 0xde6182a7, 0x5018af51, 0xdce310ea, 0x576e9f7d, 0xb58caac7, 0xd8b28595, 0xc61dd17b,
+    0x62b9a79f, 0x43dba5ed, 0x75ae28a6, 0x8a43c19c, 0x3fac5f6c, 0xade24bff, 0x63a720cd, 0xf3dd9e3f,
+    0xfce9dc80, 0xa346fb8a, 0xd2615d75, 0x1594e3ac, 0xe9dafe0a, 0xc853b49f, 0x1b14821b, 0xf5bc6cb6,
+    0xab49959d, 0x64307835, 0xea94f128, 0x4968f2a9, 0xbd23c878, 0x8f74f10e, 0xfa20b23b, 0x2a68e119,
+    0xf39799d8, 0x9f26f203, 0xbf49e8bb, 0xe38b86f8, 0x050129f2, 0x83cee371, 0x7d48a8bb, 0xb9948e3f,
+    0x5c069f23, 0x5558c1e3, 0xcd3c6457, 0xa9b1499b, 0x104e371c, 0xf72b84ce, 0x0874a926, 0x201f7ed5,
+    0x1b17e723, 0x6433769f, 0x1c9aba74, 0x7a6381b4, 0x48668320, 0xe9f316b7, 0x2cf017e7, 0xd05c5854,
+    0xb4ea4c7e, 0x5a779643, 0xf9614460, 0x5f1da236, 0x68ee08f3, 0x6f94dc73, 0xb0612738, 0x857a1561,
+    0x804616de, 0x379a7dbb, 0xae6064c1, 0xd3b94d1d, 0x20447f6d, 0xf7f52645, 0x65377ca8, 0x8d75174e,
+    0x5ac34f41, 0xbef4a23f, 0x674cf2a2, 0xc4c467f3, 0xb9db629b, 0x1a621e91, 0xbdd813f3, 0xe130035f,
+    0x6a50c015, 0x4eff5b10, 0x1598278c, 0x6164d467, 0x53f239db, 0x0479f23f, 0xb741ca71, 0x09cfd618,
+    0xc46a2044, 0x0975922d, 0x54aa1f0c, 0x106abf10, 0xc65f7a12, 0xc1d378cf, 0x06411180, 0x3846d9fb,
+    0xc5a87bf1, 0x33ea447d, 0x1f566092, 0xf0b7f54b, 0x0649591f, 0x3910dff1, 0xdc0026da, 0xef6dd8f2,
+    0x03d6fd90, 0x481e9ed7, 0xd68fff17, 0xcb6c2084, 0xc01cd13e, 0x51d07f3c, 0x3efc78b3, 0xbad9929f,
+    0x1bb6742e, 0xe99fe497, 0xfd784db3, 0x0484a275, 0x47ad57e2, 0x1725f5df, 0xac222bc3, 0xcfc611cf,
+    0x6e5fddc3, 0xa32b285a, 0xe6396b78, 0xddccc428, 0x87a26c06, 0x151d7554, 0x6490290e, 0x50c835f5,
+    0x6d2c7ae4, 0x1c0bea65, 0x7d8e30f0, 0x96ba3ca7, 0x0dffa6b4, 0xa1d0bc16, 0x4f26cbf1, 0x1ac2b505,
+    0xea06daf6, 0x3461eb8b, 0xad2d9bb4, 0xea99a876, 0x36d481e4, 0x65d6ad21, 0x81343243, 0xd3aff8db,
+    0x70ed1c44, 0x3e640cda, 0x12a0e349, 0x31439348, 0xad554971, 0xfb0ba0b6, 0x0964114f, 0x86dc01f6,
+    0xe0d2f674, 0xe48daf5b, 0xb144eba8, 0xa6d8bcf7, 0xd44b4151, 0x1e0117c4, 0xc899d015, 0x652f0492,
+    0xf4ce947e, 0x63030ba1, 0x8a558a55, 0xa414e7c2, 0x1d8bf389, 0xabcf4f54, 0xec816953, 0xbf5f539e,
+    0xa77e0336, 0x9e2fd6a3, 0x61d2ca04, 0x68130437, 0x91a0a6c8, 0x621025bc, 0xaa7d355b, 0x8f2c6e95,
+    0x39443283, 0x442cf0ab, 0xa32ffab6, 0x6b8c1398, 0x7e0f5404, 0x64891550, 0x6e98c7be, 0xc42ffb01,
+    0x04204be0, 0xad435291, 0x43c7e56f, 0x0eb61834, 0x1d1f61a4, 0xbaf8ecba, 0xdff50869, 0xf13c97db,
+    0x97390ca3, 0xd6a236e2, 0x70e538f2, 0x18bdd927, 0x9eb2d356, 0x76d9acbe, 0x121a9a6e, 0xe55d5ccf,
+    0x99ce8778, 0x0a310134, 0xef632912, 0xfdd4376d, 0x5c73db31, 0xb69ef8dc, 0xa36b3ba3, 0x603e90cd,
+    0xe80ee930, 0x11b12dda, 0xe2d3dcd9, 0xdd77f7f3, 0xcc7d695c, 0xd0944fad, 0x2a694ea3, 0x59025346,
+    0xb8620219, 0x81e1efe5, 0x422d0ccd, 0x51f583e9, 0xc134a08c, 0x838e92bd, 0xeb800b6e, 0x7f300419,
+    0xdac438a2, 0x248864eb, 0x48bb68f2, 0x8f2f76d6, 0x75e942d1, 0x908e6316, 0xd0955bfd, 0x4bbb5ef3,
+    0x91e41fad, 0xdacdaa4f, 0xaceec28a, 0x3983dbe2, 0xee5fbb0f, 0xa073f60c, 0xf23d6b4b, 0x923d5140,
+    0x56d69817, 0xc90b0a5c, 0x473963be, 0xde9fbe5a, 0xdeddd55b, 0xe43cea4a, 0x385597e8, 0xeb5abb2c,
+    0x49d2c794, 0x0782231a, 0x9a245bf5, 0x1ae179ea, 0xa7c8a31f, 0x378dcc23, 0x4c47ed1b, 0xc138dcc7,
+    0x8f2d0e59, 0xf227dd72, 0x15eac66e, 0xf862193a, 0xadcd17ef, 0xbd9ea084, 0xaa388eef, 0xb78136f0,
+    0xb47cc8d4, 0xc6eb896a, 0xa675fd4b, 0xdc34bba2, 0xd6d461cd, 0x4f40d5c2, 0x1375fc38, 0x3288b3d1,
+    0xb36387dc, 0x85437089, 0x9307a8b0, 0x44ab2ca5, 0xc239d918, 0x33ee0ebf, 0x864bcbb0, 0x9b9043e6,
+    0x451ce7de, 0x32fe51f6, 0xdb5976fe, 0xccce5577, 0x143c177f, 0x347dcf75, 0xa0c56589, 0x63a39ee7,
+    0xe986ecc0, 0x35d018af, 0x5e4ed485, 0x9cb38249, 0xdb6d2605, 0x2010e1b6, 0x2d157a83, 0x825200a6,
+    0xaeee0afd, 0x8b942b31, 0x6194d556, 0x96b85ab0, 0xf1f56230, 0xae3d6462, 0xfec765e4, 0x5db4b1fc,
+    0x52d3f5ed, 0x32086760, 0xdff52238, 0x2b52010a, 0x9f2ff69d, 0xb353a539, 0x79a3ce92, 0x4dd57254,
+    0x941750fe, 0xae46b341, 0xcecae41f, 0x876e3f21, 0x43ea201a, 0x92053118, 0x0f96477d, 0x6cbc3a64,
+    0x4357fcf7, 0x3ed7c86c, 0x54ca42b9, 0xca78fc3f, 0xeda6ee38, 0x812580cc, 0xf866d327, 0x4a573dba,
+    0x8ff115f6, 0x74e23a50, 0x54d7e59a, 0x02e005c0, 0x6f4087b3, 0xccaa6f9c, 0xa706a66e, 0xc14b725c,
+    0x54d9dea5, 0xffb3bfaf, 0x48c6c358, 0x5b87f4ca, 0x0a451d5c, 0x623c6337, 0xb2d7bde3, 0x922ac3a0,
+    0x07d7de15, 0xabaaf570, 0x312767dd, 0x721e4fbc, 0xcc4eac28, 0x7d6ebec0, 0x7d8e9480, 0x6efd564c,
+    0x6d2bf630, 0x607cb0da, 0xdab5a42e, 0xeb627098, 0xafcabe5f, 0xa64d70b1, 0x16ca918a, 0xca132cae,
+    0x3329351b, 0xf0b04606, 0x15585d13, 0x8a2647fc, 0x52dae409, 0x4fecc63e, 0x428738ce, 0x9066109c,
+    0x8ec1db1b, 0x42e43c9e, 0x020cc508, 0xcaa0a850, 0x11e16b28, 0x369bec6c, 0x89685dda, 0xc5da8b39,
+    0x3c8a9919, 0x2b908180, 0xf1cbc12c, 0x0953efbb, 0x84f887e5, 0x20a425f6, 0xf419e1f7, 0x2fd536e3,
+    0x23ee452e, 0x7f43c204, 0xaa35398b, 0x23897ab2, 0x2680d44d, 0x86d7fd19, 0x6f729a85, 0xc1cc7802,
+    0x34d3e28f, 0x813d5437, 0xe4e8b5ca, 0x42d61134, 0xcea555a8, 0xc0146e45, 0xc794416c, 0xbbdd5333,
+    0x00000000,
+    0xbd9d6a73, 0xcb62aff1, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000012554203470773361527671578846415332832204710888928069025792 */
+  { 0x00000000,
+    0x4c164a7a, 0xbe43cd60, 0x321929d2, 0xda0dec52, 0x680c8ed6, 0x8d9c4cd8, 0x5e417c56, 0x9549ce6d,
+    0x3ee8d1fb, 0x4763838c, 0x644ddb3b, 0x87a70ae6, 0xf339a52f, 0x336f6b3e, 0x89eeecda, 0xbda6c85e,
+    0x5e5b67df, 0xdcc83632, 0xce1e1ae7, 0x796012cb, 0xa4f4445c, 0x16bc8970, 0xa0812071, 0x13c40ad7,
+    0x4f864aab, 0x23868362, 0x0321ce40, 0xadea3291, 0xa112e085, 0x0bb0bd95, 0xd40b9b2a, 0x253ff1f2,
+    0xc0a61aa9, 0x8ca4f668, 0xdc7fbe3e, 0xb274548d, 0x513dca26, 0x90cd33c1, 0x10f4db94, 0x082b794a,
+    0x8d0a41c6, 0x52416b55, 0x3b0caf41, 0xc7783af7, 0xcb3ba5a1, 0x19e3945e, 0x78ab5b0b, 0xb01c062c,
+    0x8de5411f, 0x37dd1b5f, 0xeae43659, 0xab17e5bc, 0x89e6a27b, 0xbd40cfc2, 0x6775ed8d, 0x93779c2b,
+    0xeff67872, 0x6dfe7b9e, 0xb8536e30, 0xf0ec392b, 0xe36e0c81, 0xad9d3498, 0xc225a895, 0xbcf2fbe6,
+    0xcc8e07ff, 0x3eef1a50, 0x6b3095a3, 0xfc06d7e3, 0x30ac01ec, 0x9ffed671, 0xa887990e, 0x2262923c,
+    0x6141ff88, 0xfeffbb55, 0x96b1b06d, 0xcd3cd7e3, 0xef56f085, 0xb1cd8619, 0x7fa9de18, 0xc4cc9de9,
+    0x39a51a7c, 0x3c5f439c, 0x070e9adf, 0x502d61f4, 0x5b8960d4, 0xe719be21, 0x4febf352, 0x78d94873,
+    0x64601e14, 0x6412ef21, 0x7a9aab74, 0x82f07f70, 0xee8556aa, 0x42ecfc2d, 0xb589fd03, 0xacd20716,
+    0x141f8713, 0x73d96a1c, 0x3b043bf7, 0xfe9e11fe, 0x73461177, 0x3306704e, 0x77a46110, 0x5a2eb2b2,
+    0xda1d10c6, 0x301dd621, 0x1d066946, 0xc27c9874, 0x12833ff2, 0x5872a759, 0xf26581a9, 0x3f9804d5,
+    0xd5fd6954, 0x8cdefa16, 0x4b9f0448, 0x932ea57b, 0x606bfadc, 0x4968aab7, 0xce1dcb7f, 0xd514d799,
+    0x13b6e712, 0x3c3c970b, 0xdc69ccbd, 0xb017074e, 0x9271213c, 0xee7dd38f, 0x35556073, 0x10a5e86d,
+    0x527f9f75, 0xf180acdd, 0x2c60770d, 0x703493c6, 0xf5a4e546, 0xd32ce801, 0xa1f0672d, 0x67d4b330,
+    0x62288db0, 0x5b2c4b5f, 0x768b0794, 0xbe637beb, 0x541dad68, 0x4d2b8a95, 0x9f00d210, 0x7921c1df,
+    0xef5cd207, 0x143406a1, 0x41d1061b, 0x464b8695, 0xa89305ef, 0xc43b83d7, 0x6300a00d, 0xaa56a4e7,
+    0xcfaff34c, 0x8726db54, 0xcdde36c9, 0xd3b233cb, 0x4bca9903, 0x06127801, 0x4aa91b15, 0xb96ab7b1,
+    0x3a171a0a, 0xb49fee27, 0x23114304, 0xd457922d, 0xc8a484e6, 0x1de3aa86, 0x16903ad6, 0xa013d21c,
+    0x987376f4, 0xf96b4162, 0xb008455b, 0x62617273, 0x074f54c8, 0x7082d6c3, 0x26f96bed, 0xaca0712a,
+    0x7b27b6e7, 0xc1bdf52d, 0xb245edc0, 0x720208c6, 0x94459579, 0x2a500281, 0x807c0ffb, 0xc4bd511a,
+    0xf7f462e5, 0x397d9fbd, 0xdf793735, 0xe92dd4c9, 0x87568f2e, 0x4c49f663, 0xe5e75349, 0xbfd5c0e6,
+    0xdc19bb80, 0x82f77647, 0x004a93f7, 0xe795bb3a, 0x01e24bc0, 0xaf84bc38, 0xdfeec298, 0x8567e9c9,
+    0x9d6bdf3e, 0x24b75add, 0x7326dfde, 0xc203a71a, 0x052c77e6, 0xb2cfbce1, 0xb57c00bd, 0x092c6629,
+    0x5f722c7d, 0x3d1621b4, 0xb961d48f, 0xcb2798d4, 0x3ddee9a5, 0xa874a969, 0xd383a26d, 0x3f47d257,
+    0x9d789b25, 0x0efb68f6, 0x9f23b5f3, 0xb9c15626, 0x0499c31e, 0x2fb32ae9, 0xd7f3d314, 0x51814c36,
+    0xf90f1d2d, 0x2de05603, 0x0268a975, 0xb240718e, 0x62dbbc45, 0x03986419, 0xb181c64d, 0x9ea4a69a,
+    0xc92b930b, 0x195a98e2, 0x920f3540, 0xf367d88b, 0x2ec302f0, 0x82d6bcc1, 0x2ddfc24e, 0x4c02c692,
+    0x4dbb75ad, 0x052aec20, 0xbc343c77, 0x60a98e8e, 0x80ef7894, 0xcfb19f1e, 0x24ccff96, 0x178b23a4,
+    0x1879670e, 0x120209e6, 0x36f591cb, 0x19dc453b, 0x75ff2824, 0xc4dff6f4, 0xbfa0eb04, 0x16e8c44e,
+    0x80841193, 0x2ac7673d, 0xca79168a, 0x0c18239d, 0xce422fe6, 0xb50d151b, 0x2ad11719, 0x574007a4,
+    0x924790f0, 0x65eacfbd, 0xccd510ed, 0x0c132577, 0xe914271d, 0x3c9d2b61, 0x8f65e641, 0xd384275a,
+    0xf5ddf645, 0xe9850be4, 0xa2aef710, 0x7b068b97, 0xa9415f6d, 0xd3c32600, 0xa6c188ad, 0x0464c521,
+    0x95b32aa7, 0xbe5344fc, 0x16d9203f, 0xc70fe7bf, 0x4ec80864, 0xa67f69f6, 0xb7a2f82b, 0x6990aed4,
+    0xef2e3be1, 0x971c89cf, 0xe37becdf, 0xe258deeb, 0x3366e707, 0xdf1c89d9, 0x4722c593, 0xbf3558b7,
+    0x7d7cefac, 0xadbe4a65, 0x8e9f1b6f, 0x6cdf6fc2, 0x78d28c78, 0xb285ed94, 0xf49e3ffd, 0x57191103,
+    0x3d25d7c0, 0x8211d90a, 0xcb8016bb, 0x956e4cbe, 0xaa32846e, 0x94f01175, 0x30208cbb, 0xe51cb409,
+    0xc77cd1c6, 0xf45455c5, 0x606a1bf1, 0x13fe8048, 0xbfaf4218, 0xb8882e9a, 0x334dc69d, 0x74cc81fc,
+    0xa34fd815, 0x0089cc54, 0xf9caf6de, 0xe6163f81, 0x30027a4e, 0xbe1a3591, 0x06e346de, 0xdd130f3d,
+    0xb25838d1, 0xf2bea6b6, 0x9ba2fabe, 0x68dc05c2, 0x55617cc8, 0x88e2163a, 0x40207374, 0xcb515b49,
+    0x5b5848cb, 0x1288fd55, 0x8f20eccf, 0xae7e30ea, 0xb39cd824, 0x644bf1c3, 0xb4e5855a, 0x9bcebcd5,
+    0xaec33a74, 0x9b4f28d3, 0x5a5eb23e, 0x6675a9bb, 0xa8604f66, 0xc269e94c, 0x3e35178d, 0xea413416,
+    0x44442f78, 0xd297b04f, 0x1483d2d3, 0x6f17a873, 0x29331e70, 0x7f7612f7, 0xbb19ac4c, 0x0e8978e1,
+    0x23281fe0, 0xcab68e0a, 0xdfc10257, 0x0265b1b9, 0x38574829, 0xa9b348ee, 0x1a298730, 0x51a1aae6,
+    0x4281aba8, 0x8370b1db, 0xbbfac453, 0xd85a5a1d, 0xb7152912, 0x4255d37d, 0x1d2df94e, 0xef1a2c3c,
+    0x91b306c7, 0x365dd7a9, 0x9a9197f1, 0x2e12cca3, 0xbd6331de, 0xaeee97a4, 0xf3281df9, 0xd97125bf,
+    0x8f9583d8, 0xc34d8acf, 0xe07b7aec, 0x399894d7, 0x6e7e0718, 0xa2be3ad5, 0xd13e17da, 0x3a3a9ac2,
+    0x00320905, 0xadfff54e, 0x8ea4656c, 0xc58acfc3, 0x26fa6922, 0x94b8c213, 0x4a7394e8, 0x6959c3d2,
+    0xb14dad63, 0x6ba64a51, 0x42d27b4c, 0x60947fe6, 0x2b36fd28, 0xf3948d4f, 0xf30a6486, 0xd42ed5cd,
+    0x9061d6e3, 0xafd7a01d, 0x14d23373, 0x8d986642, 0x6119ad8b, 0x407258ce, 0x466df9b9, 0x8640e579,
+    0x1ba3b811, 0xa67bfb05, 0xb4db6985, 0xfce8095f, 0x67b26d19, 0xc109709a, 0xb7b27df7, 0xd3142f1c,
+    0x0ce92ad5, 0xa653e476, 0x58046add, 0xaf42db66, 0xef8fe78f, 0x20989057, 0x853d6584, 0x2699a951,
+    0x1c445c59, 0x1885e7dd, 0xb9c4646b, 0x246e9d0a, 0x87510582, 0x0a44c5ec, 0x3789d3a9, 0xdc6b5aae,
+    0x527bbee9, 0xa2553145, 0x8f4c22fd, 0xe7e3c3b2, 0x00eed1f1, 0x7bc8790b, 0x4a609785, 0x5fef417d,
+    0x86bf5a58, 0x2954205c, 0x4bea68e5, 0x4013c6ee, 0xf48254fd, 0x51160dab, 0xf479d0d9, 0xd753b3de,
+    0x300869f1, 0x36647fa6, 0x012af4b4, 0x5e53b189, 0x08f73c2d, 0xd4eea5d0, 0x9908ab97, 0x05da2a11,
+    0x743c9f6f, 0xa1c9a2d1, 0x37a4fb64, 0x2f750fe1, 0xfbac56b6, 0xefc929a9, 0x9d197270, 0x302f4642,
+    0x37faa175, 0x7845fd90, 0x7d0f5334, 0x2a0b6e81, 0x36283087, 0xdfbbb0a5, 0xaa977ef6, 0x3f85c837,
+    0xdcc41a7b, 0xbb412e90, 0x4b1a6766, 0x48353559, 0x9ee4402b, 0xc52c9bca, 0x73abe0ff, 0x743daf01,
+    0x9db36163, 0x54cc8595, 0xe8455765, 0xd83f7985, 0x4b26c98c, 0xd8c1ac4e, 0x0f9a66fa, 0xa3aee3b9,
+    0x1b1beb06, 0x449f107a, 0x8f9ab46d, 0xdb7a48f1, 0x01f28ec5, 0x1833453e, 0xe3b6b3b3, 0xbff4a46d,
+    0x67d9dbd9, 0xe56d9a9e, 0xb5ca4f0c, 0x2a2e3a4e, 0xe57c8193, 0x1ba1321e, 0xf7dd0f27, 0xa5f87de1,
+    0x6d834553, 0x445ada3c, 0xa474f339, 0xc5351ef0, 0xd51271f4, 0xa482d85d, 0x820f77b3, 0x938adaec,
+    0x0b127112, 0x588fc55d, 0x6918d22d, 0x9663496b, 0x720ddcd1, 0x0024419c, 0xcf166371, 0x9e15305b,
+    0xf073a7f3, 0xac0c4c40, 0x9f3d8a7c, 0xf1710658, 0x4d74f759, 0x55c2e7e1, 0x05789ed5, 0x82b7d002,
+    0x108c6f86, 0x27a21020, 0xbab2c192, 0xd7c6eb95, 0x784a62e7, 0xf643bbd0, 0x9f43fe5c, 0xb106cd43,
+    0xfab47de5, 0xac04026a, 0x8a8907a1, 0xeac0159e, 0x92ecb9a1, 0x9c618669, 0x9b3da669, 0x974e42e6,
+    0x514b5deb, 0x08b74305, 0x2f56aa80, 0x5a6451d1, 0xde9d2edd, 0xaebf0779, 0x55f52cbc, 0x2cc559ab,
+    0x498b47c3, 0xcd700ded, 0x8c66cc30, 0xf32dc971, 0xfcac0aca, 0x1948f7a1, 0x6c8b7743, 0x0bdc29ef,
+    0xb723893f, 0xe8ccf197, 0x927cf4a2, 0x01324b9c, 0xb2eef588, 0xc2e98431, 0xa63076b0, 0x582522a9,
+    0x9e3b1d1f, 0x232c97eb, 0x5f73522c, 0x02b24dca, 0xa796fab3, 0xda92ae79, 0x07e0ebec, 0x83889988,
+    0x1f085560, 0x79ab7819, 0x6ba379af, 0xd73b1cc1, 0xc00c40e2, 0x9147ea10, 0x68d4ad1a, 0x0396bea7,
+    0xd25f5139, 0x5eff9873, 0x2b4883a3, 0x5af2b8af, 0xc57f2221, 0x77034141, 0x88d32330, 0xef10d522,
+    0x37938c1b, 0xc8dcbb3d, 0x1d7e630b, 0x3cbdc10c, 0x0f166db7, 0xad352423, 0xa755bde6, 0xe1c5026d,
+    0x4c0e3b10, 0xee47966d, 0xd2a7896b, 0xb32e584a, 0xecaa3382, 0x3f5b91e1, 0x8aaab541, 0x95f7bdf1,
+    0xe64200ef, 0xca5037e7, 0x60167f31, 0x67944c24, 0xa5b31191, 0x5e76ebb9, 0x0994fe00, 0x136d9d26,
+    0x544c33df, 0x646f2cf3, 0x7403442d, 0x6705a191, 0xf19e31f2, 0x7252e612, 0xf793fbd4, 0x6bef973c,
+    0x1921251e, 0x6a81e7e9, 0x5a2baccb, 0x0499b222, 0xdc0e9777, 0xb1a78a9b, 0xfa364fa4, 0x50ecdaa8,
+    0xf1f61ac0, 0xc44b9fc9, 0xe9d64830, 0x6fe6d380, 0x00a09b58, 0x15267ee0, 0xbc0e4363, 0x1bb85fb2,
+    0xbdabbdb0, 0x96d85f3e, 0x3d954abb, 0x086b8218, 0xf141d077, 0x034eebb7, 0x31f489a9, 0xabb680c2,
+    0xc1f84520, 0x0bd2c084, 0x59ab0213, 0x2ea0f205, 0xfd4c0e3f, 0xefa707ab, 0x7ee3312c, 0xadc5c077,
+    0xabea5897, 0x99955c71, 0x65a985e4, 0x318fe3a5, 0x0fbd5a25, 0x9d926114, 0xd845facd, 0xa2d4dd93,
+    0x8e63af07, 0x537d45a9, 0x0d85cde1, 0xb6af3353, 0x009788ee, 0xab0a9820, 0xceece4a4, 0xbcbe7e3f,
+    0x875b73c7, 0x3e59d742, 0x6a4ba76f, 0xadee4e51, 0x1246835e, 0x86d78721, 0x379d627a, 0xb97c4eb8,
+    0x7ee218a7, 0x8a58220b, 0xebd06ccd, 0x7a1a9b89, 0xfc6a9dd8, 0x589a833f, 0x88caa9fd, 0x36995e8a,
+    0x57376f69, 0x72d08679, 0xbc5d0bd1, 0x325c8bcb, 0x40e039ef, 0xd331be11, 0xb8499a69, 0x8f0cf784,
+    0x78c20093, 0x9506bdc9, 0x673b6639, 0x6cf6d13c, 0x956a4e9f, 0x55e45821, 0x7142ce6c, 0xa6d83141,
+    0x2d150a44, 0x3bbc11e9, 0xf43016de, 0xd916be0b, 0x544c06c7, 0xcbc7a16e, 0x83cf5f0b, 0x7d8f5eab,
+    0x6086f10f, 0x4a1acb55, 0x5a1d756b, 0xe1233e3a, 0xdd178a29, 0xf72efc24, 0xf132eb49, 0x0120ad07,
+    0x360c5945, 0x58f883a2, 0x19235f32, 0x15c8a2ff, 0xfd7730cc, 0xa78aeb91, 0xf87c28a0, 0xefa0d6bd,
+    0xa9134954, 0x74acdefb, 0xf45e14fe, 0xc357e5d2, 0xcf305ee1, 0xceebdce1, 0x283edaca, 0xcf1bef5a,
+    0x0119fd88, 0xfeb98002, 0xd3ed3fed, 0xc6b50254, 0xd6f655ae, 0x72c520e6, 0xe4988bbb, 0x2a47eb65,
+    0xc230dfa1, 0xafef0684, 0x622eefcd, 0xb1285c56, 0x0f6bb3f4, 0xff952148, 0xb4dd6966, 0x6e63adbd,
+    0x00d352e2, 0xbd336686, 0x82d7e4b8, 0x6cc1697f, 0xfeccbde7, 0x1ad79d8b, 0x40b237b9, 0x82f4af88,
+    0x5bc24646, 0xf0ea37f9, 0x9ebce98a, 0x848324a3, 0xfb91bb60, 0x86bdef30, 0x7f0341a4, 0x6de2c9c2,
+    0xf5100de0, 0x3ff7b68e, 0x0f80779b, 0xbe7c6026, 0xf051d11b, 0xaea0e2d7, 0x7230bacd, 0xe4775edb,
+    0x87530289, 0x41e321ed, 0x46768731, 0xfdffd7c9, 0xc3b042ee, 0x63deda05, 0xd688a2ff, 0x7833a00f,
+    0x5ef28dc1, 0x4f349f36, 0xd539b9b3, 0x86b3ed7e, 0x5a68774e, 0xaa27f2ff, 0xf3f0d88b, 0xb9ab64c1,
+    0xc94dd5f3, 0xcdd9ce66, 0xc2ff4ed0, 0xdcb1f1b9, 0xf34173a2, 0x9594bfc3, 0x6736444c, 0xaed389ec,
+    0x387f8984, 0xfed62398, 0x5bdd1b31, 0x19c33b79, 0x699b2723, 0x048a7257, 0xa1c2dcf4, 0x6f71dcb0,
+    0xdc899eab, 0x44461b34, 0x76ebeadb, 0x849f81c2, 0x1845e125, 0x8f8f8b5a, 0x0e45bc2f, 0xb32da145,
+    0xb2cade74, 0x60088333, 0x3b31cd91, 0xcd8497c9, 0xcbade580, 0xc1d50f84, 0x63f54b3e, 0xdac6a78f,
+    0xdcbb32da, 0xc3db55c4, 0xff4a9f96, 0x706b0dcf, 0x8eec458a, 0xd1c532f7, 0x34f3540b, 0x63db2569,
+    0xc79803dd, 0xd547b71a, 0xd373a286, 0xe39c598a, 0x0dffe43e, 0x196dcbe8, 0xabf883d2, 0xfa020ab3,
+    0x53bea429, 0x6a4e9658, 0x7a73b6af, 0x323e3946, 0xc41ee002, 0x3dc27e6d, 0x2ab64260, 0x13b1eef8,
+    0xe599153b, 0x1f2f0c89, 0x31c7cfcf, 0x9bc208ce, 0x60045523, 0x11d25579, 0x453332c9, 0x72bba68e,
+    0x4d87e550, 0x162b0ec5, 0x65bf4895, 0x7fda756d, 0x227e5a2a, 0xd0fa6db2, 0x8e462238, 0x00335d88,
+    0x45d69eaf, 0x16dc3ea3, 0x6f6f0001, 0xdf94fb5f, 0xcca8944a, 0x5c237904, 0x77a0b36f, 0x7e94c11b,
+    0x1c3ebbe9, 0xe810e6d3, 0xb6c062ea, 0x806beffe, 0xb2bda5c6, 0x2a74adfe, 0xa8211b90, 0x381628f1,
+    0xd7fbb665, 0x12ab53fc, 0x8105f5eb, 0x1199e982, 0xbc767d1f, 0x729d5f18, 0x0eeb00fc, 0x2c180474,
+    0xa6c49f04, 0xc4777551, 0x862ebb99, 0xc7861805, 0x1e549992, 0x2f5e8c81, 0x2a6afcf2, 0x36e4c329,
+    0x065a6beb, 0xbe645c6c, 0x59fd2d01, 0xcd1f9aef, 0x0d0cb10d, 0x1934ac32, 0x3f562bf8, 0xe19621b0,
+    0xc4f6e662, 0x9ed05c93, 0xeaab76ba, 0xedbb35bc, 0x0f6e0bb6, 0x40873f0d, 0x77209f02, 0x2c7dfbf5,
+    0xad4683f1, 0x23d12805, 0xf33a73b3, 0xe16f60ee, 0x9b3fffc8, 0x953ebe8f, 0x5a65a1ba, 0x63d8488f,
+    0x9dac3a12, 0xf1b81033, 0xa57ab1b9, 0x3ef8a5fa, 0xe2dece7e, 0xda1faaec, 0x0f0a6be2, 0xc6826585,
+    0x9549354e, 0x5224e83d, 0x105feeec, 0xa226e356, 0xd04e23b1, 0x120eb82c, 0x2aa8c5dd, 0x7ad69e76,
+    0x1ac80fd3, 0xedaf5a2d, 0x2ce8af71, 0x6ca0165e, 0x07052be8, 0x1712f1eb, 0xb1532bb4, 0x6b2053f9,
+    0x5961b566, 0xb5011981, 0xb4aea27a, 0x7165ab0e, 0x68eea5bf, 0x1c1aa995, 0x2ee669e8, 0xd6dcc30c,
+    0xb79aca66, 0xad56f4c5, 0x0f7465ff, 0xa5c2f600, 0x6eae3170, 0x2e879f55, 0x49701e7a, 0x71215298,
+    0xa450f75f, 0xd631f809, 0x3493f598, 0x71f2cfcb, 0x5754da88, 0x536b2c32, 0x5f27c5d4, 0x6d0766d2,
+    0xe0b7b670, 0x36de4fca, 0x38da12a5, 0x37f5973f, 0x68c27b98, 0x2a305ccf, 0x17b77f8d, 0x3368c19d,
+    0x533bbdc1, 0x7d903e00, 0xe0c4c907, 0x25e006d8, 0x980d3123, 0x4f29fc0e, 0xeb04c42c, 0xc904066f,
+    0x49d930e8, 0xac1e1f99, 0x22b7fa4d, 0xd535798e, 0xdd5d76be, 0xf8b95889, 0x7dd6225b, 0x90f9a072,
+    0xdaa262b6, 0x764ba647, 0x9fe3122f, 0x92b0181f, 0xea642444, 0x7809926f, 0xb4300636, 0x9b11e28f,
+    0x00000000,
+    0xdeceb539, 0x65b157f8, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000006277101735386680763835789423207666416102355444464034512896 */
+  { 0x00000000,
+    0x3101cccb, 0x6c6d6355, 0x4d5b3c9f, 0x0f575b48, 0xa1823b15, 0xb50469e0, 0xe9d97d59, 0xc86aa62d,
+    0xc07f6682, 0x17f42541, 0x5b7b2ab8, 0xd7fb1e27, 0x357e98b8, 0xefbfdc3b, 0xa3bc6afa, 0xdcd2bb69,
+    0xba324d5b, 0x61263abc, 0xa78dc2d0, 0x6288b8f3, 0x24e7ad0d, 0xfdc2ef3a, 0x5beb5a17, 0x68c438eb,
+    0x423a6876, 0xf500bb10, 0x63f4fb52, 0x58c5e736, 0xb0bdebdb, 0x869d51ee, 0x5b893e67, 0x0b9f0bf6,
+    0xf8c331ed, 0x9bea3c8e, 0xd4d0b63f, 0xa6f8083c, 0xaaec87c8, 0x4bc01a7f, 0xe1db89a7, 0x2711fa9d,
+    0x2270a1c5, 0x5f8edb9a, 0xf0d18977, 0x9cc512d2, 0xc114436a, 0x0140c0e0, 0x74f23a91, 0x7bbd7874,
+    0x33b2b07b, 0xfde33b03, 0xd03616a5, 0x2911eaf7, 0x486e588f, 0x3aa15c3b, 0x525f7870, 0xc2b5482f,
+    0xf0c5c1af, 0x49273d52, 0x933f9951, 0x627d92a6, 0x9ed9ca72, 0xf5dba679, 0xef5b298e, 0x17676b6e,
+    0x1ad4c8e7, 0x2b2fd9c6, 0x941c3a04, 0x4d3ac90d, 0xe4625b67, 0xf38311b1, 0xb96601e3, 0x1529261d,
+    0xf4c770fb, 0x19b62a12, 0xe6aed3e7, 0x19aa3d54, 0x1a34dfcb, 0xc8c36355, 0xead0e185, 0xcaf4c638,
+    0xe19960fb, 0x9557fe12, 0x7727965b, 0x3cded0c8, 0x6a90742c, 0xf609af81, 0x22f3a1ef, 0xd1b70fd6,
+    0xd0c913c3, 0xee6e8633, 0x9501f4ea, 0x49d61f09, 0x13faa086, 0xd434e216, 0x488e45fc, 0x7e0196bb,
+    0x3c9ca0c1, 0x98a8723b, 0x6a710e67, 0xd9a8d036, 0x40b6c7c9, 0xe4a5c059, 0xfb223e87, 0xeb336ff8,
+    0x3fc6e7a8, 0xb5189869, 0x7af53c3d, 0x15dbd20c, 0x13fca323, 0xadd47e5d, 0xc6b9c284, 0x01342f66,
+    0x1114d6cf, 0xc1bcf0b8, 0xe43325c3, 0x1cc1ea81, 0xe5ad8a45, 0xe918db55, 0xb234164a, 0x521c951d,
+    0x31d46316, 0xe9ebf86a, 0x27793d07, 0x92a85648, 0xb07748ad, 0x632ad48c, 0x46c8f4ba, 0xc23fdeba,
+    0x2a7123dc, 0x059b581d, 0x6878dbec, 0x9877542d, 0xe29b36b1, 0xf6607cb3, 0xcacf0b17, 0xa82f3000,
+    0x0478dd9a, 0x6565d122, 0x604c6fab, 0x98e9dcd5, 0x8ff033d3, 0xce0e4977, 0xe309a051, 0x252b1bfa,
+    0xe3f19346, 0x3530003a, 0x56022149, 0x88b732df, 0x65fcbec6, 0xb3810868, 0x0467083c, 0x4fc3a5f6,
+    0x9da3fe2b, 0x477a58ac, 0xeff78ddb, 0xc6f30ab3, 0xf413a6f5, 0x23224fb4, 0x23761cb6, 0x764f6e2d,
+    0x88986e54, 0x25e2fe56, 0x77da0891, 0x8310bf42, 0xcabaf5df, 0xf46089ba, 0xd270c64e, 0x83b6e2e2,
+    0x1aba1a3c, 0x88af6526, 0xba361b69, 0x08e030d6, 0xcb2c468e, 0x7f2bacd2, 0xf170e04c, 0x5dce793b,
+    0x3ca67284, 0x5b3b1385, 0x21fcce0b, 0x74a86a6d, 0x4586a830, 0x61e52e9d, 0xc94d1800, 0x3b6bd8c9,
+    0xb1b0236b, 0x636ff7d2, 0xa4309e13, 0xfd064cdf, 0xa6d452b0, 0x51371246, 0x07f82400, 0xabd21df1,
+    0x385ed2a0, 0x738ce6ea, 0x4d2b9345, 0xfb6abc13, 0x578c38dc, 0xa72da7ef, 0xd2dfda71, 0xf375d12b,
+    0x232babc4, 0x06094ac6, 0x99ec3692, 0x4bb916ca, 0x078a1bd7, 0xba2ec902, 0x743c157f, 0x947a9810,
+    0x199f9c48, 0xe87bfd71, 0x835bd026, 0xe4ad7934, 0xe0f55054, 0x7968efd8, 0xc1193d59, 0x7556437c,
+    0x68fcd5c8, 0x5b738a1e, 0x52bfbb02, 0xe4835b6f, 0x7328623f, 0xfc5110fb, 0x2ead957c, 0x0d5a9678,
+    0x9ea9ad02, 0x98b4c16f, 0xe9ec7af0, 0x84311579, 0xb86daece, 0x9ba64426, 0x120916a9, 0xc2827a0c,
+    0x701a4a4d, 0xc391d719, 0xff4c9d12, 0x4a2a64c2, 0x4ed289b9, 0xd92ade2e, 0x5f492dac, 0x282dc55e,
+    0x6a2fbcbd, 0x2fa0e26d, 0x78a361db, 0xfc8a9430, 0xf951c855, 0x4dcebc14, 0xf86d6eb1, 0x4cb87413,
+    0xe731f6fb, 0xb49b5a12, 0x67e45e97, 0xa5aa265c, 0x1790ef98, 0x833cf8d4, 0xd38a55f9, 0xbd486ed5,
+    0x64aa07e6, 0x815bd28a, 0xe80b5286, 0x1fe88120, 0xd76b2992, 0x94c6ca03, 0x2ccb48a3, 0x0b653e28,
+    0xa783d158, 0xb162bb61, 0x37da0be6, 0xc256ed07, 0x1fb3aec4, 0x14896dbb, 0x83ea2b4c, 0xd228ba31,
+    0xfc6dd0a7, 0x00485a42, 0xb8f0517c, 0x0b435944, 0x88bf32ad, 0x07c3ae8e, 0x39676fcd, 0x7b868fa6,
+    0x8d25fae8, 0xea0719be, 0xa1600730, 0x72b3ab0c, 0x1049c96e, 0xb13213b2, 0x6798ea6c, 0xe29c9ab7,
+    0x90e04e9f, 0xe194b607, 0x68d23075, 0x1b3c6f07, 0x74a62a12, 0x1d486c21, 0x1c4c5abb, 0x9963f157,
+    0xf2320f2e, 0xc1fc8aee, 0x7401ac1d, 0x1ba251a8, 0xe16a4219, 0x317ff26f, 0xd3ef2039, 0xa92bbef2,
+    0x0d769ee9, 0x11b17d5a, 0xbf177760, 0x74fa414c, 0xca696e4e, 0x31c916ff, 0x8ee7cdb1, 0x931797ac,
+    0xe486a71f, 0x52b87f69, 0x1302b032, 0x4c1282f0, 0x2cb9ef1e, 0xd82403fd, 0x6f26dc92, 0x5309ffac,
+    0xecc9b483, 0x7223a837, 0xdc1f2d9c, 0x68fc6df1, 0x7195673d, 0xacb218da, 0x024396d7, 0xb69d6861,
+    0xf1dfb62d, 0x0751ef66, 0xf54a37d6, 0x225e6118, 0xad3c6ad4, 0x5408ea98, 0xc52b8f0c, 0xa2e0c4b9,
+    0xbfa4b2ce, 0x6f0f952b, 0x5bf9f4c1, 0x5499d885, 0xc74fc05f, 0x416243d2, 0xb9a3f015, 0x9081a5e2,
+    0x29ee9b95, 0x3efb551d, 0xdeaf6cc8, 0x5e77dae7, 0xcdab13ac, 0xcf8d466d, 0x24de50fe, 0xbe572f85,
+    0x7f7be3c3, 0x7c2be5b1, 0x231d9f3a, 0x906c74b4, 0x523a55ae, 0xf5049408, 0xd6040dec, 0xcf7639a1,
+    0x242f762f, 0x36497576, 0xb546f5e2, 0xac07c3c2, 0x8d3aa3ff, 0xe055a9d1, 0x73aa2484, 0xd0dd29fc,
+    0xa7c37a8f, 0x2b1966ae, 0x5b60fda5, 0x5f0d4321, 0x42d65adb, 0x6ee3acd6, 0xbc4ddfe0, 0x0f01debb,
+    0x6fb95770, 0x0a97f1bc, 0x4017481d, 0x21c605a2, 0x70024e31, 0xbd41d991, 0xe75c90a9, 0x551542f5,
+    0x830346db, 0x7aa2ed06, 0xfcbdf5f7, 0x4ec6c979, 0xd77c3552, 0xecb83341, 0x62277acc, 0x7657cb1e,
+    0x15b963fb, 0xdd4345d8, 0x33b5b4b8, 0x0507564d, 0x2e855b86, 0x386ed8c5, 0xced5ffb2, 0x5a698b39,
+    0x36e70007, 0xc38d45bc, 0x7b89a871, 0x3860ed9e, 0x564c3974, 0xfd764e36, 0xcd3be570, 0xad9e6aad,
+    0x5676bed2, 0x9907bac8, 0x6424f2c4, 0x86f0aa71, 0x7f27dba1, 0xf9c4066d, 0xe2eae27c, 0xab6047d3,
+    0x34545246, 0x99931599, 0x181a228e, 0xbdedee78, 0x4b6d1569, 0x5c9673e3, 0xe11293dd, 0x5300feb9,
+    0x0fe41953, 0xe7c9b344, 0xdff921c2, 0x407d05e8, 0x29e149db, 0x6e6b8938, 0x97e734f7, 0x37c1bd5f,
+    0x380dcea5, 0x9275f416, 0x6c08bac1, 0x8d4699f2, 0x57e9aa7b, 0xf935ec78, 0x037e4b88, 0x41f56785,
+    0xfdf1bff7, 0xb7d66ff7, 0x3a84ba98, 0xb143f958, 0x50352f9d, 0x9c25d588, 0xe84bef3b, 0xaaf7cc79,
+    0x757abcb1, 0xe7e87d1b, 0xf748e58b, 0x8be571db, 0x1231e2ef, 0xde842b09, 0x2148ebb1, 0x76793576,
+    0xbb8b18b2, 0x99c5cee2, 0x4c682e6f, 0xf2eb4d2f, 0x849ba76c, 0x4bd2fe29, 0x20a5f329, 0x783d481c,
+    0xd62459b6, 0xc9017a73, 0xdffb94e5, 0x6bcac1f3, 0xe495b1e1, 0x6b0948f1, 0xd49bdee2, 0x4c3bd5aa,
+    0xd33b3412, 0x3654a7e2, 0xe1f4734f, 0xa58e40db, 0x8016ee61, 0x77de06a4, 0x1fd8929f, 0x8d2505ad,
+    0xcda2444f, 0x32557138, 0xc5a6bab4, 0x3d55889c, 0xd30bee26, 0xa7370779, 0xad8da3f4, 0x2ca102c8,
+    0xd7f7a9b2, 0x7aa32967, 0x0e2d51e5, 0x724be6b6, 0x34cd3b54, 0xb0591099, 0xa4a2cce2, 0x91f84881,
+    0x1e9a4460, 0x730b592d, 0x120a2203, 0xe88dafcd, 0xa3a5b8a7, 0xafd17555, 0x31b54a34, 0x1d1c47cc,
+    0x8f9e7c96, 0xd3c19cda, 0xde58072d, 0xe77451cc, 0xbd2cb67b, 0x6ccd58c6, 0xfc0f2222, 0x3a0598c7,
+    0xcdcb54d0, 0x039399e2, 0x27a2599f, 0xa5cd0738, 0xcedf597c, 0xb9770835, 0x853e096c, 0xede0dc64,
+    0x6f4c5e9f, 0xdd6810d9, 0x2278b518, 0x12fdc915, 0xc69670df, 0x50fb5ee6, 0x5b064eef, 0x15c45eab,
+    0xacc4b72d, 0x4a44378b, 0x2de73191, 0xa2cc2be0, 0x6b666bb0, 0x41e82e34, 0x22f8ef50, 0x813fce0a,
+    0x75043855, 0x3bf56044, 0x7eb802e4, 0x9265c482, 0x7670c116, 0xb2005a85, 0xe8c71294, 0x0e71fb29,
+    0xba623810, 0xf513daa9, 0x5a8fed39, 0x13a61c40, 0x2c6d631d, 0xa24cd967, 0xdaf57613, 0x904f21b8,
+    0xa7cd13cc, 0xa3d94888, 0x5efd5034, 0xf7b0b6cc, 0xcedfb855, 0x20a8a43e, 0x25f26911, 0xa7d83d67,
+    0x1ff89964, 0xc0c8f757, 0xffe582f7, 0x28dcec18, 0x7517a1be, 0x690c1c8d, 0x696c2104, 0x438cf262,
+    0x5069106e, 0xe4c88045, 0x9bfec85b, 0x3b3fd24c, 0x51df2bd5, 0xa28c54a9, 0xdbb0e7e5, 0x522d240a,
+    0x3ef12a8f, 0x5a9ffc27, 0x6ae321b4, 0xbb985a16, 0x768508d3, 0xd2227819, 0x066adb2a, 0x9b8a6e09,
+    0x6039c84f, 0x201b1e86, 0xefb61c7e, 0x3ca8609d, 0xd60d7aae, 0xf5816b72, 0x341758ae, 0x3ad4a8db,
+    0x4190c630, 0x7e91d193, 0x466caada, 0xaab7dc5e, 0x3e3903c1, 0x9b7652fd, 0x3737957b, 0x92502dba,
+    0x7401268b, 0xef021620, 0xea28733e, 0xfba43793, 0xf5905b93, 0x970d2034, 0x4a8bd07f, 0x8d4d566e,
+    0x3601218b, 0x8a2e9bdb, 0x4590f5c1, 0x1d1c4c46, 0xa9ad285f, 0xe73342c5, 0x9f0a0f09, 0x226388eb,
+    0xbb995ad6, 0xb36bc5fc, 0xb2d6b00a, 0x4021aadf, 0xe28a8a35, 0x9425e4b4, 0x38a83092, 0xf2c33c14,
+    0x54cec4d5, 0x4fe32fac, 0x38f35f3c, 0x40104755, 0x84992a19, 0x2f9f693e, 0xd8eb2e11, 0xaaf5c759,
+    0xa4f06628, 0x169f7bf0, 0xe49090b1, 0xf8e2b107, 0x9f1027d2, 0xb6369005, 0xe9ae8137, 0x42161037,
+    0xd8f04611, 0xe1fa71a3, 0xf7b0af6d, 0x79e2ca50, 0x82cb1d0a, 0xbd6accb9, 0xbdf00faa, 0x078b4221,
+    0xdb841dc8, 0xe7ca260e, 0xa1e42f4c, 0x95928527, 0x527f86df, 0xe642d78c, 0x2d59db2a, 0xe6d1a045,
+    0x78e5e6c6, 0xc1fbd0c4, 0xb4967989, 0x269597e7, 0x28be30ef, 0x65451f2e, 0x2b395d52, 0xa91ac459,
+    0xbb06801a, 0x2528fc4f, 0x787c1c1d, 0x3f98dcbe, 0xf161135e, 0x7e76623d, 0xba369dc0, 0xfb3bfbdf,
+    0x0eb25e71, 0x2637379c, 0x8b22c0d9, 0x822f9a6c, 0x78b8b7aa, 0x40b4e26e, 0x9a102e65, 0x1c79e40c,
+    0x6c6dbc8e, 0xf5e29478, 0x78fd592b, 0xd610586f, 0xd003fb03, 0x81377490, 0x6456ca50, 0xf35738bb,
+    0xdb2098f8, 0x01cb3900, 0xf8c35a8b, 0x5376899c, 0x2e3272b1, 0x2e9ac8f4, 0xa84083d1, 0x79eaf284,
+    0x658def95, 0x18cecb08, 0xff58142d, 0x235cd872, 0xec3dcf9b, 0x76b39411, 0x6a9b7cd3, 0xfb4539de,
+    0x0bf3550a, 0x794e580d, 0x9078300f, 0x246df2ee, 0x9b483cca, 0xccdc0d31, 0xb6272b99, 0x3c90e6f4,
+    0x0d0adc04, 0xcb42cc49, 0x8bd8cdfc, 0xb7306494, 0xe60c798e, 0x651b3245, 0x8d85dfc3, 0x6ee9f96f,
+    0x7c1073f7, 0x8195246f, 0x9bf8e15b, 0xd7d9651c, 0xdedaf32e, 0x3eb9f793, 0xcb5008b7, 0xe25f31aa,
+    0x5d31cf5c, 0xd5dde751, 0x9fd184a3, 0x0d702416, 0x4f19edf3, 0x80dbccc0, 0xafc30884, 0x669e8f13,
+    0xf8d36b78, 0xe150ce60, 0xc8d75cb4, 0xb6bfff84, 0x5fa46c13, 0x7bf09339, 0x3b78bc15, 0x814e672e,
+    0x8665b0a9, 0xdabb7e70, 0x6219c105, 0x24ff1b69, 0x76bcc73a, 0x461e262f, 0x9ab3489f, 0xae81587a,
+    0x28641f23, 0x8e11acca, 0xacaf0c2d, 0xa86e65f4, 0x0b794aec, 0x7702c330, 0xae42129b, 0x608c0e4b,
+    0x63c4ea2d, 0x2e964ebf, 0x2c787385, 0x6ce13245, 0x7fcc2a05, 0x10dad16b, 0x342aae5d, 0xeb87b2f6,
+    0xb01157ab, 0x68b81ad5, 0x66d215fb, 0xd9db908c, 0xeb5b9d6c, 0xdb7fcb41, 0xa8f7c3df, 0xe605a4bd,
+    0x427d1d8c, 0xd56918ed, 0xd880dc79, 0x7896b345, 0xc2065db9, 0xea737738, 0x6c17d1ea, 0x47077298,
+    0xd8724574, 0x5ae8ab32, 0x9bf2b919, 0x1036dd40, 0x10d23ff6, 0x4e6801f1, 0x235fba39, 0xa42b4874,
+    0xef015ee8, 0x9a501528, 0x9436236c, 0x7737cea6, 0xb1eddfd0, 0x7d43a54d, 0x4eeffb8e, 0x54832be3,
+    0xfe66585d, 0x055e8b92, 0xb72c9f8d, 0x7e774472, 0xc5d14d70, 0x3f599806, 0x6f9c6654, 0xbf869c61,
+    0x90b58200, 0x41afa80d, 0x94c40899, 0x93c6ceaa, 0x2907c801, 0xc8f44b82, 0x3f7b8663, 0x8f124bdc,
+    0x16615c91, 0xabce5088, 0xe3b6f3f0, 0x4efb8183, 0x6d588775, 0xc38643d1, 0x70c9dd16, 0xaf579661,
+    0x921834fa, 0xae69c758, 0x6e08f025, 0xfed458ea, 0xee062c57, 0x88c2f46c, 0x559b5a01, 0x8a71d111,
+    0x7b5e9ac9, 0xc3ab6811, 0x00a42c63, 0x61a2e704, 0x2c72b9ae, 0x046be441, 0x7e63d0e0, 0x541229f7,
+    0xa99619ff, 0xed5bdf1c, 0x9bde7217, 0xdf014a86, 0xfd989074, 0x7e508418, 0xec8976b2, 0x09b5728d,
+    0xdda101bf, 0xcc4de969, 0x24f4cc84, 0xd63e2932, 0xef9bb3a2, 0x1391152e, 0x0408f65a, 0x4bd66e8a,
+    0xd6cbf572, 0x7c08de15, 0x90a5b24c, 0xf8f4a3da, 0x8d4441fd, 0x8ffd5241, 0xdd41c609, 0xc88901c1,
+    0xd8ae3cd2, 0x2a51926b, 0x5782f621, 0x52c53a72, 0x87d964ee, 0xb9a977ae, 0xdd22c215, 0x61d7e2b8,
+    0x3ef8e6fd, 0xbc6230eb, 0xa8eec6cf, 0xa5ab01b8, 0xb9d670a8, 0x14e19f5b, 0x39e9aa6c, 0x0645fce0,
+    0x2dfa27e1, 0x4f027137, 0x7e13d383, 0xca931eca, 0x71d55d45, 0x58d8e865, 0xd9a7e25b, 0x5e58b64b,
+    0x4887c5f7, 0xb90476f3, 0x15a33cf6, 0x06912c69, 0xa18441b4, 0x27eed205, 0xcbe8a99a, 0x1fd09f53,
+    0xdd108671, 0x2bb96715, 0xd02028ac, 0x86131e0d, 0x7300cbcc, 0xa32f9a55, 0xb7bffecc, 0xf754750c,
+    0x1d35d4df, 0xad7830ce, 0xbe11e5f4, 0x42040a7c, 0xed764e1f, 0x14fe3c00, 0xb2ec763c, 0xdcc019c3,
+    0xb0157b0a, 0x5c46ba75, 0xd53fa39f, 0xe29a7f08, 0xf938dff7, 0x1f1e87e3, 0x7e7b5667, 0x516a8681,
+    0x2efec328, 0xfa94b0e4, 0xb9879698, 0x9279ac12, 0x7f362db0, 0x9a0e1751, 0x209b69f8, 0x8b04e61e,
+    0x329d5057, 0xdc91253c, 0xf088c9d7, 0x2fd91a65, 0xa06199c7, 0x3ac48635, 0xbb4f6b0c, 0xa4774919,
+    0xd8946a91, 0xb0f6e99a, 0x1331a6cc, 0x95247bdd, 0xb20a06fd, 0xde82caa7, 0xba59dbf8, 0xce21c801,
+    0x6c303e37, 0x959732ad, 0xaaf58c71, 0xea1645e7, 0xb39793fd, 0x6d5a0840, 0xc0647ae0, 0xfe68bd6e,
+    0x8569497d, 0x828ff070, 0xbc45f9d3, 0x0e8881b3, 0xfc95280a, 0x46699261, 0xfb250b5c, 0x9c83ecc5,
+    0x8ed7c47d, 0xa98e1eb2, 0x303184fa, 0x6041b92a, 0x8f37102b, 0xf14e534c, 0xd71fbd90, 0x4174afa0,
+    0xb5522386, 0xc835dc05, 0xbfc69389, 0xd6660218, 0x9422cb41, 0x715e5604, 0xe47e7112, 0x07d69076,
+    0x4e928fee, 0x72cb6dea, 0x4f17089b, 0x433c0a1b, 0x44ae7828, 0x8d1f0408, 0xaa1ef807, 0x8bea6ae3,
+    0x1fc57d57, 0xe768086d, 0xd22e20ae, 0xcccc2261, 0x55750903, 0xa6c518ba, 0x1e9b28b6, 0x7b081deb,
+    0x48ccc08f, 0x68736bd9, 0x6f59297e, 0xe3c5aa3c, 0xf6b692ca, 0x58c4421c, 0x932a13a9, 0xf8d47bdf,
+    0xfaea1248, 0xace48100, 0xc41f79df, 0xa321970f, 0x2cdb4de1, 0x57e7de62, 0x41a67f41, 0x8ce2e2ec,
+    0x00000000,
+    0x6f675a9c, 0xb2d8abfc, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000003138550867693340381917894711603833208051177722232017256448 */
+  { 0x00000000,
+    0x16a15fc4, 0x23e4303e, 0xf47c6e5a, 0x4ea26397, 0xd0bfe69e, 0xd6e3b7a6, 0x8ca3f624, 0x3e7a36f4,
+    0xdb579c87, 0x9ecd144c, 0xc1c6531e, 0x38bbc649, 0xd406c149, 0xbb598d38, 0x41b019c3, 0x74f66826,
+    0xf0d91e2f, 0x1f8f165b, 0xd54be159, 0x6518ead7, 0xa294f7df, 0x5f017aa7, 0x1cc456eb, 0x9c6eae6b,
+    0xb5713ecb, 0xccd617e3, 0x390dce3b, 0x95a8565c, 0x0f0c85de, 0xbb8b8c12, 0xb03baeb3, 0xdbbe9e2e,
+    0x615a23ff, 0xac4cb7b7, 0x7fd769c0, 0x42c91ed9, 0x58d96c42, 0x480008cf, 0x0a845b41, 0x23231cb0,
+    0x73225de8, 0xa545c6fa, 0xc7adb576, 0x98dee908, 0xa7b15794, 0x37262344, 0xcf16b2a2, 0x1d3d58c3,
+    0x8bc7361d, 0x40d1bd84, 0x4a956652, 0xaa0ca25e, 0x7b070359, 0xdfb6c9a3, 0x6c4ae520, 0x6c95a459,
+    0xe9933986, 0x84dc39fc, 0x49335f0f, 0x05e18c71, 0x21661238, 0x8a9609f0, 0xaea878d6, 0x9106d2b3,
+    0xaa231bb4, 0xdc9c5fd6, 0x0614ede8, 0xa8a0afde, 0x0a39f2cf, 0x222717de, 0xec05a397, 0x643f13ee,
+    0xa6c27041, 0x3441af59, 0xcb89eca0, 0x2e37b325, 0x2f24c019, 0x971866e2, 0x613df412, 0xec6c958e,
+    0x041d32dc, 0xa4ee5c5e, 0xc33b7b51, 0x2f1764eb, 0xc4484280, 0x59dac0d7, 0x51db807b, 0xea0073d6,
+    0x8e715dd5, 0xbb168683, 0xb65c3696, 0x63c51854, 0x898264de, 0xeb541ef6, 0x2c09a20a, 0x43d6c090,
+    0x8a7b1cc9, 0xf4b32174, 0x73e1a481, 0xce1af6ba, 0x0150a449, 0x9ce7f840, 0xeb90eba5, 0x1f6a64a2,
+    0x2ed9b752, 0xb665d7dd, 0x6058385d, 0x950c25f3, 0x1c5487c4, 0xa1d31c57, 0x76985dcc, 0xff907570,
+    0x792aefba, 0xf5b23dad, 0xdb111ab4, 0xad2d9eb7, 0x06d3caae, 0x22a54983, 0x5764c0b4, 0x2d4a8e09,
+    0x9a4e2a12, 0x6f6708d7, 0x5d55ce57, 0x59fff576, 0x59a087df, 0x49a79240, 0x6415140d, 0xdd959bb0,
+    0x34cb032e, 0x4da616b4, 0x35fa7cf7, 0xbc29c899, 0x3d15645d, 0x441b0f13, 0x781231c5, 0xca5854df,
+    0x8773d690, 0xd07b1184, 0x320f8117, 0x8d67bc97, 0x2b385d44, 0xaada92dd, 0xd6054a06, 0x891d0e30,
+    0xcbf82106, 0x14fd5226, 0x0c7b4125, 0xe5f45c9c, 0x27dd929d, 0x48801862, 0xffe21bc0, 0x1dad7e9f,
+    0x8cb7e841, 0xbffd9e1a, 0xec3a9794, 0x0426e19d, 0x0894cdc9, 0x6cfbd728, 0xefc96dbc, 0x18cfb80a,
+    0xf15bbfe7, 0xcbf066a0, 0xc9998460, 0xb18c6139, 0x4a1ec2bc, 0xe924f302, 0x64dd3d24, 0xf4bd2392,
+    0x9fa273fa, 0x7878c669, 0x0b3023e1, 0xa9d830f1, 0xd1c521ea, 0x5c4211fe, 0x95eb9ebe, 0x1f476da4,
+    0x47967966, 0x425a5569, 0xba420454, 0x3dc6d870, 0xc88b3541, 0xea17192f, 0x488aea52, 0xb2c7740e,
+    0x33e71951, 0x824dda60, 0x06e4e57d, 0xc42cfbff, 0x71bb2841, 0x49bf2dcb, 0x310c95f6, 0xde806325,
+    0xaa1603e8, 0xd70b4e3e, 0xda8a34a1, 0xd69a90ab, 0x7b5fa87c, 0x7e148472, 0x340ccb26, 0x25c5b26c,
+    0x9eebeec2, 0xa2a1eb4b, 0x602ab180, 0x9b88cc3c, 0xf291c8ec, 0xc8b269f7, 0xd7291c5a, 0x9a4144ab,
+    0xdf239561, 0x82403c4f, 0x6ce0a6fb, 0x82cba5fb, 0x2cf15dd1, 0x92e998d2, 0x9d20c0a4, 0x53b936cb,
+    0x892007ff, 0xd88cc04f, 0xde7604b0, 0x822cf253, 0x6a9b6f7f, 0x05d43e5f, 0xc831dab2, 0xe0963d85,
+    0x820ea8f1, 0xad2da498, 0xa5b79077, 0x7fe84a8a, 0x9255fef8, 0xe1601cd1, 0x9fba2127, 0x8aa2076d,
+    0x1fa8d93c, 0xd41523e9, 0x8ab98382, 0x16fea136, 0xe6c9468b, 0x4206d6b7, 0xd3d955c1, 0x7ed999de,
+    0x2db92f7f, 0x52b2fb38, 0xbe8c5dbc, 0xd7d1d08d, 0xc952bbb5, 0x205a916e, 0xa70d0cc9, 0xddc362d1,
+    0xd01bdf8f, 0xaa61b353, 0x2a7c3bef, 0xe73afdbb, 0xa78f2a9b, 0x2d247633, 0x52690e2d, 0x73558a58,
+    0x97ad2cc6, 0x2d70e7a5, 0xecfcf376, 0x6ce5f305, 0xc6b937f4, 0x4e81f614, 0xaa6e80c3, 0xecb6fff0,
+    0xd684f195, 0xa91e1dfb, 0x29d8b344, 0x37b7a92e, 0x1c756314, 0x9501c956, 0xf323bca6, 0x97a1c2b7,
+    0x3f729c53, 0x4c155430, 0x27a9afa0, 0x6852d894, 0x7d085cb7, 0x568a05ed, 0xf3b2724b, 0x2f9bc339,
+    0xcab74b6c, 0x27ae9573, 0xb3230b65, 0x82b4306c, 0x09684cf5, 0x6a0bfc8f, 0x0e7b5374, 0x2ed6f034,
+    0x271b0fbe, 0xac9919d6, 0x34415fb4, 0x1cab4c25, 0x1453baf5, 0x64ed2c61, 0x39b2a252, 0x0a184976,
+    0xdd4df37d, 0x17197de4, 0xb809168d, 0x3779a298, 0x366eb1b5, 0x1fbc5336, 0xf4c4164e, 0x841090a4,
+    0x5e3e503b, 0x9498833c, 0x68143658, 0x754dbe92, 0xad0a371f, 0x036c9bdc, 0x0c3f19a7, 0x4fdb9818,
+    0xd9721712, 0xc3b83b2d, 0xc7ae1c34, 0x98673f01, 0x6a7d9a7c, 0xc93fea05, 0xa1e4ce9a, 0x22091660,
+    0x8e6244fc, 0xdb2f147a, 0x80718c0e, 0x46c5dee0, 0x8acf8e9e, 0xa413da62, 0xfe8cb22e, 0x2ba72f59,
+    0x2f5410e1, 0x2c9267e9, 0xaf09e11d, 0x0914305e, 0xf983a642, 0xb101bf5f, 0x105c36df, 0x84a21c93,
+    0x87e7b304, 0x66d8b66e, 0x9de4628f, 0xa28b64f4, 0x8609e932, 0xb5a12c15, 0x38838bfb, 0x49e6d427,
+    0x1c34903b, 0xe03e87e6, 0x81bc8a6b, 0x46ad3690, 0x78bbaf2a, 0xfcb3a470, 0x0e393738, 0xc812f933,
+    0x3c9f5baf, 0xc6c640e7, 0x07f3be93, 0x6d0e7081, 0xb5cf7dec, 0x1f1b034f, 0xfe663c1a, 0x338c23f6,
+    0x57f0b084, 0xf011933c, 0x5d52a484, 0x72731168, 0x97ab4402, 0x6d8c5034, 0x8d49e9c0, 0xe5d803ad,
+    0x7ea5347c, 0x96a187be, 0xe5009848, 0x0917dbe8, 0xace08a5f, 0x2af14b47, 0xa03cd421, 0xbf46d67c,
+    0xfd5683a1, 0x17fcace5, 0x67c0fa5b, 0xad25e872, 0x41e3713f, 0xbc3b5bf3, 0xf474f8e9, 0xd0952957,
+    0xafff6a8c, 0x9a205367, 0x0d0dbd1b, 0xcf6f040e, 0x409c52ee, 0xe131cdb5, 0x44b3a014, 0xfe9095b6,
+    0xf660c1bf, 0x07166ee5, 0x99800a1c, 0x3d19a51a, 0x1fda33e0, 0xc7b81cd6, 0xc35c9c5b, 0x0f7c0b08,
+    0x4023efb1, 0x713a22e3, 0xa8e92551, 0xc2171df5, 0xe849755b, 0x95d6f738, 0x7d1337d0, 0x5655c9d2,
+    0xe2018c45, 0x3910e967, 0x5052f64f, 0xcc5b89f6, 0x8d995c80, 0x884f6fa9, 0xba5561b6, 0x70142a36,
+    0xe23edd78, 0xb73ac0fc, 0x7eb46526, 0xb4472987, 0xb67415e0, 0x2b262916, 0x105161cf, 0xf50c1b6a,
+    0x0f97cb7e, 0x2c8e9e4e, 0x8b3f3076, 0x872771a0, 0xb6ce0c0a, 0xf98f1cb8, 0x1a89beb2, 0xcbe9b4ef,
+    0xe5f2b7b5, 0xee3e5a66, 0x74cab268, 0x8c9cf98a, 0x2f62a8d5, 0xdb2cd94c, 0x4fc89401, 0xc950e6df,
+    0x2525fd9a, 0xe5d8967b, 0x864f1c74, 0x432413d6, 0x70bb99a0, 0xc67b4eda, 0x24ac95d9, 0xfd963d28,
+    0x2ab02c29, 0xcaf48b29, 0xb64166db, 0x49d6f25a, 0x03faa08e, 0xac687378, 0x38f7a182, 0xa7a734e5,
+    0x2f4d3565, 0x6ffcd7ba, 0x6d6a3936, 0x2dd33feb, 0xfa3540c5, 0xc5778977, 0x681967c6, 0x02853f30,
+    0x2ac06948, 0xdf979a80, 0xcab3a712, 0x5593b281, 0xac28f073, 0xac56e2d9, 0x5ea66501, 0x5017c33f,
+    0x405fd2e1, 0xa40a0523, 0x3d02a3af, 0xc7ebf521, 0x8df4d410, 0x072f0cdf, 0xb17b5b94, 0xdd538bf8,
+    0xfd4dfaa5, 0xfbc2db6e, 0xfd4e3d0f, 0x2d76e47f, 0xe6749599, 0xebdb84e3, 0xb4494449, 0x4a0f61dd,
+    0xee7ed1dc, 0x59cd0c07, 0xfc77c7dc, 0x70124e2a, 0xbee90138, 0x8f24849b, 0x9b890866, 0x38152ee1,
+    0x905a928b, 0x3588146b, 0xce5a42db, 0x64ee541a, 0x8e8abe19, 0xeadbf9fa, 0xcc376456, 0xb07756bd,
+    0x27ee47cf, 0x8eb6d533, 0x1c177a8d, 0x16291f70, 0xed9d4f1a, 0x8c4f9d02, 0x6a75388e, 0x172f2173,
+    0x32efc38a, 0x7ba3aaad, 0x5b001a44, 0x75bc1459, 0x30a8fb9c, 0xb3eea2bf, 0xccef8b5d, 0x3f7f9f0b,
+    0xa596c3df, 0xb4968134, 0x007e5606, 0x3379679a, 0x88d40d6d, 0x2df71477, 0xa663ac70, 0x578dc8b9,
+    0xbe573d54, 0x3d1b7e66, 0xee88e4e1, 0x1e459d63, 0x781e2adb, 0x460e9b95, 0x74f84d34, 0xeed22b3c,
+    0x9b8434a3, 0x6d4fa332, 0xb9082961, 0x5dd37286, 0x7421ac2d, 0x95f96f2e, 0x23dedd1c, 0x3a3b1040,
+    0x97a28618, 0xc9e77892, 0x71826445, 0x678bf357, 0x75645f21, 0x38457368, 0x621f2f00, 0x6d4d6a7c,
+    0x9d17bfda, 0xa4b2265d, 0xc2acec12, 0x7e859e72, 0xaad6ffc9, 0x8742e16b, 0xe2056257, 0x612a2ed0,
+    0x5cbdbba0, 0x74de6c0f, 0x3d29538e, 0xb47272c1, 0xec873502, 0x33e27b13, 0x8d5186cb, 0x51d183cd,
+    0xa1141aa1, 0x70f95680, 0x4fcb694d, 0xc9d68f96, 0x7e38926c, 0x64e37f56, 0x500b0373, 0x9aab9ee4,
+    0x347ca3ea, 0x67e65583, 0x3416e3cc, 0x5e2b5f26, 0x1e410154, 0xf7255e48, 0x0fde43f5, 0xcd64840d,
+    0xfe9f5089, 0x6602bb9b, 0xf2a43d23, 0x8125ce91, 0x42c1ec07, 0x8336cd6d, 0xa0f52cad, 0x30ec7b47,
+    0x4d11f6c1, 0x0fa6d10b, 0x0aa4cb58, 0x70a90f70, 0xcc7d8e7c, 0x9471fe61, 0x165cfc58, 0x577b0734,
+    0x23e1dd65, 0x9d6ea21e, 0xd1148e9f, 0x4ca8e721, 0x6c62918c, 0x469cf33f, 0x8063c9c4, 0x729688ff,
+    0x09d9a72e, 0x841d26b0, 0x7d8d7bc1, 0x5a34fec3, 0x43f4a9da, 0xcf936126, 0x81678657, 0x5d0daabd,
+    0x7a7426a4, 0x4a6f3312, 0x62b54978, 0x4661db49, 0x17b74fec, 0xf86f7ff2, 0xef47fcfe, 0xd65fa9d5,
+    0x367154b6, 0xc1c5da36, 0x0331e2a2, 0x88831d93, 0x850039ea, 0xac9cad50, 0xddc2e63b, 0x4c92e35c,
+    0x00698d50, 0xb876b852, 0xaa62614c, 0x20cdd29b, 0xed1e0159, 0xbffb2587, 0x3f352547, 0xbaf5ad1a,
+    0xfcfcc1c9, 0x115e324a, 0x34bbd643, 0x47bdd853, 0x04648de0, 0x683dacee, 0x671a3ada, 0x43951026,
+    0x1e063044, 0xebb4b0dd, 0x906140fb, 0xe2e4a147, 0xbf52f192, 0x00751b8b, 0x1c37414d, 0xe5b71ccb,
+    0x0ca904c0, 0x2b7bea0f, 0xce186c7f, 0xc8ec55d6, 0xa36e908c, 0x5abfb0de, 0xba61b961, 0x6ce58c3a,
+    0x2f05b903, 0xcfabe784, 0x9d5259fd, 0x62c74414, 0xb21d5394, 0xc0a3a98d, 0x2ded0bdc, 0x60df27dd,
+    0x80eaa8a5, 0xaa15a8fa, 0xc7c2a31a, 0xdeea0cd1, 0x06e025a2, 0x8177752b, 0xaa4124c2, 0xb5b8d4fa,
+    0x0bf0ebfa, 0x98bb134f, 0xc818431a, 0xbe362cd2, 0xeb0116e7, 0xba65e4ce, 0x6a95f4ee, 0x87c7fdee,
+    0xcdefe1c7, 0xcd3f4775, 0x9dd45102, 0x8a9c3992, 0x5d4d8f7e, 0x40a05b7d, 0x00c73cfb, 0x73a180c8,
+    0x5a4b8c1c, 0x55767dfe, 0xd4df7f84, 0x2aed327a, 0x89bc9047, 0xf6986484, 0x2fab2227, 0xe4518b94,
+    0xa923de92, 0x13511d01, 0xcca6ff84, 0x45899469, 0x5673c1a7, 0x1b347d5b, 0x6060c45e, 0x5d8e1cc3,
+    0x464276a5, 0x101769e0, 0x651d4794, 0x0fdb41fe, 0x8e1c29b1, 0x9ad904dd, 0x25d81ddb, 0x1dc75eca,
+    0xcfc0ec30, 0xa901d5b6, 0xce880359, 0xa2998753, 0xcdabc2c2, 0xaf6aad50, 0xa3a14181, 0x5e12cb38,
+    0x2fdad994, 0xb671ba6f, 0x29a85bf5, 0x453d05db, 0x75f58d8e, 0x16a0119a, 0x7d82093d, 0x47488efa,
+    0x5a2df5b4, 0x83325329, 0x83d145b5, 0x7cbd0987, 0x5eb2d9a8, 0xac8cbdc8, 0xd7053699, 0x78a4a8b7,
+    0x05f03fbb, 0xb43a80af, 0x5018c6b0, 0x697038d7, 0x1bd7912d, 0x52ad040e, 0xfc34e857, 0xd8e9f74a,
+    0x91ee6678, 0x1e6c2f22, 0x5d622b4d, 0x1704d3b0, 0x2df1631d, 0x75a8a8d5, 0xcc49a037, 0x78963a1f,
+    0x2fa3ba83, 0x62efa6c3, 0xfc46b59b, 0x86247fac, 0x40cfc24d, 0x17a0a3ad, 0x25a2ca08, 0xfd8bf941,
+    0x6f7578eb, 0x9b028ed4, 0x01f79bd0, 0x07628334, 0x04e965de, 0x2824b5e0, 0xeac4f59a, 0x6606c2bb,
+    0xd2602266, 0x73a19fb9, 0x9b07cd05, 0x59150b75, 0x47073e7c, 0x12ad665b, 0x2f9fa83d, 0x78166568,
+    0x6fb946ac, 0x626fde29, 0x48545972, 0x21a4c6a3, 0x5c71864d, 0x5a4cf2c6, 0xa4fb7e7f, 0x1047e267,
+    0xf320fac7, 0xbf8871bf, 0x2d9aba2b, 0x86b203b9, 0x1ed19a96, 0x21a24e16, 0x1cfb6c84, 0x097842d4,
+    0x9fcdf94a, 0xf63d908d, 0x2779a157, 0xc821e75b, 0x5e7d07a0, 0x51173157, 0x65bed97f, 0x08a51cc9,
+    0xfb7da84e, 0xc384c6cb, 0x74961ece, 0x0ffd3bcb, 0x1cd09328, 0x556ee14a, 0x0b83e66b, 0x6a32a4bc,
+    0xb1538324, 0xa93b6df5, 0xd7d15f68, 0xcad691bc, 0x6331e5c7, 0xcf857412, 0xfad31179, 0x8b5eb5b8,
+    0xe2f16c7c, 0x91dbf6eb, 0xe888ad08, 0x134416ca, 0x041a222d, 0x55b3d7b1, 0x4a555ddb, 0x9ddf33ea,
+    0xec90aa27, 0x14f8191c, 0x5f482bdd, 0x7a428c34, 0x5e8550ad, 0x7abd3ae9, 0xdcc96c40, 0x796bbe9d,
+    0xf37ded25, 0x530d79a0, 0xf04a8f2e, 0xfa7f383c, 0x689b7c1c, 0xf1cc3200, 0x632cc3c3, 0x0d5db432,
+    0xa4d80c51, 0x8d478d51, 0x25d822fa, 0xe35cbe65, 0x6f67bb0d, 0x1e1f0bdd, 0x11742aea, 0x19650bb2,
+    0x493d41de, 0xa66cfc25, 0xaf0aca6a, 0x98944902, 0x7bb72e23, 0x4e69d517, 0x2ccf1810, 0x210a1741,
+    0xced83f19, 0xbbd94cb2, 0x47227b4c, 0x867b9a19, 0x0d813599, 0x0eab6398, 0x3ebb51c0, 0x6a1d4a7b,
+    0x5b61cccb, 0x1a1e86f5, 0xef7aa8a2, 0xe41c9e4e, 0x13c8b2b1, 0x77fb0bde, 0x5a25140c, 0x66ed0a7b,
+    0xe91c6dec, 0xe2006eb9, 0x9ae4be75, 0x5020915b, 0xa6d0dfee, 0xb64db6c0, 0xeecbc6fd, 0x56659618,
+    0xd4e61d72, 0x2c103653, 0x7388b542, 0x8aff6d34, 0x6e5e1d07, 0x561c1a11, 0xe30217ed, 0x3c6710b2,
+    0xe5f125a7, 0x6413e17c, 0xd3569007, 0xc8033d87, 0xa7236585, 0xd9926055, 0x51a6e706, 0xb39bba94,
+    0x318b01d9, 0x69dc3202, 0xdfa8bda4, 0x6921df10, 0xb57950ae, 0x7ec32bc8, 0xc5d0cdac, 0x038604a1,
+    0x66707bc1, 0x2582cc83, 0x0e9ffa2d, 0xa969bafa, 0x7555a9c9, 0x13a20c33, 0x028cbf6f, 0x9430b5f2,
+    0x8f35a943, 0x03fca37b, 0xdf9b36c6, 0x71ba6ba3, 0xd687ed8e, 0x27d85dc1, 0x6ca96e48, 0xc8c41173,
+    0x6edca900, 0x823f2d90, 0x1a677d0a, 0xa8aa2ede, 0x15349f90, 0x02ae60a8, 0x9d71fdd4, 0xd8ff0af7,
+    0xdbdeec2c, 0xe30a0582, 0xd9b7a049, 0x5d346a13, 0x53db40af, 0x55394c87, 0xc4ab008a, 0x78b82268,
+    0x376afd59, 0x35ac8358, 0x5ea67b7c, 0x58c96d9f, 0x71322dbd, 0x3ed0baea, 0x30b5711c, 0x120ebb36,
+    0x74fea34b, 0xf99badd6, 0xe9f841c3, 0x32800aa3, 0x2f07559e, 0x98281529, 0xba852d26, 0xa9b40117,
+    0xe0b3f2fd, 0x30a93438, 0x99e4b15f, 0x9c1b6348, 0xd6eae86d, 0x7a233b3e, 0xa18c781a, 0xb8fe0fa3,
+    0xa35faf58, 0x12d5d2a2, 0x210b9124, 0x3ade32d2, 0xb5b6c119, 0xc24e981e, 0x2823fbbb, 0x42188413,
+    0x2e2538b5, 0x0f6bc1fc, 0x12c9b5df, 0x36bf0c8f, 0x7787213c, 0x3d4b42e3, 0xe5704f0d, 0x94d584ff,
+    0xec732127, 0x81bd24b0, 0xa6adab42, 0x919f10b8, 0xc2e4e98c, 0x5de4cbef, 0x78dedad3, 0x28ce2de2,
+    0x8b993659, 0x1fe19090, 0x67c11ab7, 0x0357ed26, 0x8adc5f79, 0x9c7b948b, 0x0d924d73, 0xb0a1a1b1,
+    0xaf5efc1e, 0xe3f5c514, 0x6d0bada5, 0x55876f7a, 0xb098232c, 0xd89c2d3c, 0x189270a1, 0xbde9afd1,
+    0x00000000,
+    0x37b3ad4d, 0xd96c55fe, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000001569275433846670190958947355801916604025588861116008628224 */
+  { 0x00000000,
+    0xdefab9fc, 0x25618aee, 0xb771957e, 0x814a941f, 0x8109329d, 0x9228a83a, 0x5a29fd38, 0xab0790e4,
+    0x5f053242, 0xbdf51196, 0x2e30dd14, 0x9808ba87, 0x94f22733, 0x9575c35c, 0xbdd5eb34, 0x06dcc970,
+    0xab5e6e04, 0xca5366a6, 0xc3669e18, 0xfe2ec5c4, 0xf50b8c6b, 0x1ffd50a5, 0x5e01db9c, 0x569a4ab5,
+    0x47543d49, 0xfcf3601b, 0x68dd3475, 0x1dae5cd0, 0xa568faac, 0x934e0544, 0xbe9146ed, 0x66ef88e9,
+    0xeeafd8c0, 0x7b456c2d, 0x6928437e, 0x02cb39aa, 0x676c17d5, 0x74d499a2, 0xf1f5710f, 0x07f4b5d3,
+    0x78cc3e52, 0xc304b206, 0x14dc1787, 0x2bba63fc, 0xacfa0415, 0xbcd85ee0, 0xfd8648a5, 0xc9dfbdaa,
+    0x4a789020, 0x7bdc62e1, 0x4b3cc165, 0x554f86b2, 0x4062797c, 0x9c0b364c, 0xc652a24b, 0xdfdb68ca,
+    0x6e9e805b, 0xc21fa7d4, 0xe545e1b8, 0x3409d5f8, 0x8643d8d7, 0xe4d8cac5, 0x6f5822a5, 0x10ee561b,
+    0xce90fb00, 0x66101ce3, 0x1f9d72fb, 0x7eff52c4, 0x02a53a52, 0x8514655a, 0x7103d504, 0xf1fa7cd4,
+    0x09b3a1ec, 0xf0786c75, 0x410c5234, 0x5eb15769, 0xda1fb0e7, 0x401e2bfb, 0xd6341ceb, 0x2ed14e0c,
+    0xf47aabb1, 0x6384cac1, 0x91e29f88, 0xc8546e13, 0xc95b4d5b, 0x72cf5cfd, 0x1cfe4474, 0x30fe533e,
+    0x346c76d2, 0x841f694b, 0x0d06d49e, 0xe3f56cd2, 0x93b6f3f7, 0x19a0a918, 0xf20bfe98, 0x5b819a95,
+    0xc9ee28bd, 0x95621770, 0x62c1c3a9, 0xbb0b3a3a, 0x8e718a74, 0x78e9e27e, 0xce788a5e, 0x7ae4db04,
+    0x1f00b402, 0x36ff8ff3, 0x60cf3783, 0xcbc5b334, 0x4dea4e1e, 0xddeb2f93, 0xd5172ebb, 0x4ef21a65,
+    0x4e1ba0a1, 0xe77f3c61, 0x5f847475, 0xeb225efe, 0x93261cd9, 0x6ee4e32c, 0xf06db1eb, 0x0ed2dd15,
+    0xfa57dd86, 0x99707490, 0x9dc10a77, 0xe0cd643f, 0x03ee2313, 0xf070aff0, 0xb30779f0, 0x4b6b903b,
+    0x132c548a, 0x0ae5f25a, 0x06188519, 0xf0c3214d, 0x7b6dc64c, 0xdb67181e, 0xed6871c7, 0xf2331210,
+    0xd94e6502, 0x04382449, 0x20e8e5e2, 0x1a8509fa, 0x3208ae19, 0x1415c243, 0xa5f23d71, 0xb11fedcd,
+    0xa4d9a4a1, 0x4a84fbe1, 0xc90b8b8b, 0xdbf72f6f, 0xdcb945ac, 0x195b498d, 0xd22713ba, 0x7b3f5c40,
+    0xc853ff69, 0xef8ebaca, 0xfb9b4da7, 0x21a056fb, 0x8ad76f80, 0xf4d88aff, 0xce1f9399, 0x8959c8c3,
+    0xec2de2ac, 0x27dd343b, 0x50887594, 0xfe392296, 0x0a074899, 0x16e061de, 0xc7503947, 0xcb1a6810,
+    0x469c3799, 0xdd79dda1, 0x925a6dd3, 0xfb35f2de, 0x4e362d1f, 0xc026df78, 0x267bb9de, 0xa6c64f45,
+    0xf1ec3ae6, 0xdddd4636, 0xaccd2870, 0x2f9705e4, 0xfbc4c6d7, 0x2beb1d61, 0x3f49d51a, 0xbdb453f6,
+    0xc9b946f8, 0xcdb836c1, 0x693331f1, 0x0aab4d25, 0x89ea0309, 0x579a37c0, 0xa6473d66, 0x0142771a,
+    0x5d3770e0, 0x927cfdb6, 0xce61606e, 0xb8fc1bbd, 0x0a5d4d7b, 0x43927e1f, 0xe283d1c6, 0x1941f553,
+    0xef6aaa3a, 0x9efdab8a, 0x03116ccb, 0x23e516f6, 0x5599a24c, 0xe461bf85, 0x23b35760, 0x22b4720c,
+    0xd8bb712f, 0x02b82b18, 0xe830fe08, 0xab5c8005, 0x8f7a290f, 0x3e1a8ad0, 0xa206f7b1, 0xa6763d3e,
+    0xe331aa63, 0x7224f0e4, 0x3ad00a2c, 0x9e95160c, 0x31e7710c, 0xc7a0ccd4, 0x1102f923, 0x20cc227a,
+    0xe2a29be6, 0xd7dfce1b, 0x5428673f, 0xe10b9dc9, 0xdcc746b2, 0x70f375bf, 0xbae45253, 0xa37cd9c3,
+    0xc29801d5, 0xc489e3aa, 0xc47cbf65, 0x077dea27, 0xadcd1c96, 0x46453011, 0x5faf7976, 0xc09cedf6,
+    0x1916923c, 0x83ce9765, 0xb7d9cc39, 0x3f7b6797, 0x8955a687, 0x450f1f32, 0x5394ec0b, 0x5c174386,
+    0xaace4ac3, 0x4bda80c7, 0x70d78691, 0x1b6c6f5a, 0x80ba9808, 0x52e9b09d, 0xc2fc4da0, 0x61dbff5f,
+    0xcad29ed9, 0x68268afc, 0x94301700, 0x6e103bb8, 0x8a75686e, 0x9625ea73, 0x25b38d10, 0xac037057,
+    0x86e9c445, 0x2e65547d, 0xa5df35e7, 0x5465528c, 0x753e50e5, 0x2db7c6da, 0x59cef5c3, 0xb88af0ee,
+    0x50cd96d6, 0x92e76a36, 0xf15fa8e7, 0xa54547d6, 0xc1581ba2, 0x213e4ac6, 0xd4a82014, 0x5bda98ad,
+    0xf1cb99cc, 0xadd104e9, 0x731f531e, 0x1d760843, 0x8e9a34ba, 0x24538c21, 0x50720dc5, 0xafdc2968,
+    0x2fd70a70, 0xe5ae8899, 0xac84517b, 0xb5640d5b, 0xdc9ed582, 0xf1efac70, 0xe4ffa5d8, 0xaba4dbe2,
+    0x90f1bdc8, 0x32928b99, 0x4f302192, 0xc69575af, 0xeed94521, 0x1e6c9290, 0x2f38be18, 0x73f6beeb,
+    0x2e43a177, 0x777e0ad9, 0xc16ec1b7, 0x85bf972d, 0xb7938c2a, 0x0930ea2d, 0xbfbb0863, 0x80f9d84c,
+    0x05a4c55f, 0x7c1fcaa3, 0x193ef01b, 0x3dbd1668, 0xfe67d634, 0x27dfdf2e, 0xf3957fb5, 0x873816a0,
+    0x47e0bd63, 0xe9b7a885, 0x78d4c763, 0x30f45bb7, 0xb1247051, 0xf2a4a09e, 0xc2c3692f, 0xe76bb866,
+    0x32a2fe7a, 0xff584ed2, 0xbc1d66c7, 0x6baa5b66, 0xf875a729, 0x9e470c83, 0x1dfbe6f1, 0xe162e73b,
+    0x57602f36, 0xb72d1ed9, 0x63146e56, 0x41cfea4c, 0x83f66edd, 0x58e27279, 0x648a27b0, 0xb55bcad3,
+    0x45723114, 0x3452e2cb, 0x8fdb9457, 0x1ac76d4e, 0x83e506b4, 0xa7f8a408, 0x373189f6, 0x0e49ff66,
+    0x2a9b1390, 0xe8862d4d, 0xa70b64b7, 0x5e0c23dc, 0x8de24cf0, 0xe5aafa7f, 0xd75037fa, 0x32fced5d,
+    0x4005a446, 0x677c8f99, 0x97cd81df, 0x19df72dd, 0x189d1674, 0x51854de3, 0x3728010c, 0x74679993,
+    0xb9bcf5bf, 0xd1bb1eba, 0x63335253, 0xc883e1e6, 0x747ef4fc, 0x10a503ef, 0xd6d6edf8, 0xee7e63b9,
+    0x54e38729, 0x86be8a04, 0x3a0dccae, 0x2973cf7b, 0x339fd889, 0x44433317, 0x785094c9, 0xf285e5c6,
+    0xafd90c65, 0xb32b7155, 0x8489e123, 0x8ec75ff7, 0xece923ab, 0x8f2aec3a, 0xfbd89220, 0x4c620dc9,
+    0x08a56ade, 0x5c07fbc1, 0x076ea49b, 0xa4c89cde, 0x61ff9c6a, 0x2e01dc22, 0x3585a1b4, 0xe547dd38,
+    0x4b66ed33, 0x12ebb04a, 0x09d7dc72, 0x5cdf6ecc, 0x8c9d7e63, 0x95c33a09, 0xced0cfde, 0xad2a2ecd,
+    0x7e338e13, 0xdfb14e0c, 0x03b2e019, 0xd0b1d35b, 0xb9ec8e47, 0xad531f8e, 0xa84c4591, 0x8b16ce69,
+    0x2051f04c, 0xcad3b4ba, 0x0447057a, 0x8c2d2309, 0x91c92236, 0xcaa35051, 0x4da32522, 0x57c5a10b,
+    0xfb1e27e4, 0x676a0b59, 0x087787ce, 0xdb6a55f1, 0xa4c285e4, 0x9ca76916, 0x52d9a5e8, 0x5dbe7bff,
+    0x0b2a08b1, 0xbcbbad6c, 0x429ccf31, 0xee58b250, 0x2af308c6, 0x6f605d49, 0x986ad89e, 0xb5110acb,
+    0xf9ff82b1, 0x65e21a4d, 0x2750eca2, 0x294de0c0, 0x0822b73e, 0x491e9702, 0x46bee01d, 0xdf8d2938,
+    0x7a94426d, 0xeaf67ee8, 0x56e4d247, 0x43677e0d, 0x77d6ac5b, 0x2ad47612, 0x87136bcf, 0x3fc272d8,
+    0x7888e66f, 0x73a12b54, 0xde438728, 0x4ed69d1b, 0x71bde16f, 0xdc1005d3, 0x8b2419e8, 0xeadd5534,
+    0xf1e34da5, 0xfc2674ca, 0xc71893cd, 0x5b5c7c60, 0xc43d93e4, 0x9fc516db, 0x19e0b6e1, 0x7017dd79,
+    0x7b29a67a, 0xc459b2ea, 0x8d3858ed, 0x6a3ec864, 0xbe1883a3, 0x0f700b5f, 0xace810dd, 0x05b828b1,
+    0xa5d1bba6, 0x31eca2e9, 0x68fa3a9c, 0x988ac3f6, 0x886cce6c, 0x3f26d4b8, 0xb4d7b8ae, 0xc5fbea78,
+    0x61af8387, 0xd95a1210, 0xeae7eb08, 0xc911d1d4, 0xe235ca3e, 0xe96ce5a9, 0x0a7babd4, 0xe02116a8,
+    0x505225d5, 0x73613e18, 0xd04231aa, 0xb2a0c854, 0x3af682a4, 0x323c6a12, 0xa933c745, 0x288415fc,
+    0xf047c3e0, 0xad19ce45, 0x85fcd795, 0x24d86853, 0x57ff0414, 0xc9eca493, 0x217fc020, 0xd75ff958,
+    0xb70d479a, 0x406b3958, 0xa36410f1, 0x87ac66c7, 0xb08ed1c1, 0x4aee0609, 0x33324530, 0xd5c9072e,
+    0x64c5c7d7, 0xc76e94cf, 0xee6c28a0, 0x3248fecc, 0xa0b521c3, 0x5f1255e2, 0xcf0231c1, 0x3f210aa4,
+    0xc82e54d0, 0x560f3a3a, 0x30669aaf, 0x22d1d36a, 0xf54b9801, 0x44172fcd, 0x5114bf16, 0x3cf55ed1,
+    0x48a732b1, 0x1aa2afc3, 0x941dbf42, 0x5ac2975f, 0xac72ba53, 0x75862daf, 0x9ef105b3, 0x2cad14a6,
+    0x75e12d8d, 0xe668a3a3, 0x6e5f8ca7, 0x9c335c55, 0xfa700a5f, 0x8a06a172, 0x943d922b, 0xbe44e5d6,
+    0x3f3933e5, 0x716ea423, 0xc865de7a, 0x0765d64b, 0x6062d1cc, 0xaa0e08e0, 0x4eb99321, 0xbae4ebce,
+    0x9dfc4e56, 0x1a4873ed, 0x23ae141c, 0xfeab82d3, 0x8eb0448a, 0x43b8556b, 0x1365c10a, 0x8e6e7aa9,
+    0x6e944030, 0x2a80afd9, 0xe31d76a7, 0xc1be4726, 0x94936d6c, 0x1b2e1f41, 0x7b1ab642, 0xebdae3f4,
+    0xd8782386, 0xa19dcbbb, 0x98268ca8, 0xb7e7c3f2, 0x017e2f3f, 0xc0f71a0d, 0xe5fe8253, 0xff44bc1e,
+    0x606eab10, 0x92ce7411, 0x4149a44e, 0x8d7360dd, 0x6f355e99, 0x4006a821, 0x625540c4, 0xee8a3d1c,
+    0x6898e6be, 0xc9daf8f2, 0x8a645cf8, 0xcdd90eb5, 0xc274dbee, 0x11f42eb3, 0x7e9ee8d4, 0x888c0d3a,
+    0x69c8b2d2, 0xb5029b51, 0xb03d3833, 0x4c34803a, 0x67ebba4f, 0x30838490, 0xafe0d04e, 0x1ceb1bba,
+    0x7d489ea6, 0x397ec490, 0x0409add6, 0x9b0d180f, 0x5b9e9757, 0x2b9fef13, 0xbbf81c00, 0x0b5fc9f5,
+    0xc8b0ad46, 0xc75068fc, 0x8ef13133, 0x3916a2c6, 0x3ebda89e, 0x7390cd34, 0xb738fc2e, 0x8f1d1fb9,
+    0x2acaa3f4, 0x0218ea38, 0x9c062ddc, 0xf510c0e2, 0x3b2bc784, 0x4936d1f0, 0x874a4073, 0x881cacd0,
+    0x07935dbd, 0xc39e7a92, 0xd00007ef, 0x3594628b, 0x78eee21e, 0x5072fc26, 0x9dc3cbaf, 0x3fbb5cd6,
+    0x8bcbfcc6, 0xc2764f1a, 0x60752d87, 0x4d71932b, 0x44d5ef76, 0x0dc177ba, 0x7bb29cd1, 0x2c54769c,
+    0x4402fc55, 0x972b60b5, 0x7ee11ec7, 0xb8cc028a, 0xc4e9fdaf, 0x57e5beda, 0x2a6e6d1d, 0xb69733e6,
+    0xe74fc644, 0xdda417d3, 0xd4546aaa, 0x8b320e01, 0x07211571, 0x7bc789ba, 0x5590aae2, 0xd1c43e35,
+    0x832ca949, 0x7d5755b3, 0x9d4545b0, 0x144b99b2, 0xa12f3b8f, 0xe09dc8b6, 0xf5979b7d, 0xf0607988,
+    0x9ebd1396, 0x9ad44719, 0x19d1aaea, 0x3e936377, 0x3ab57c70, 0xb7edf8a7, 0x87031bfa, 0xfd691377,
+    0x7a02077c, 0x2a350b47, 0xf4479d63, 0xe39b5fed, 0xc3b126c1, 0xf99188b6, 0x35ea7bc4, 0x22a6ee4b,
+    0xff55c84b, 0xf69155df, 0xf3af6fa3, 0x0ce0397e, 0xf9dbf580, 0x00e433db, 0x01aef1c1, 0x46425646,
+    0x754a6541, 0x9a70836d, 0x5b03f929, 0xce8be181, 0xb97caa3c, 0xf3057aa9, 0x3d672ba0, 0x92431151,
+    0x5842ce43, 0xbdf1a190, 0x31bf01e3, 0x26cbbda8, 0x861b834f, 0x0dad35c9, 0x68a1ffa3, 0x2d046f39,
+    0xac9be0b9, 0xbcbb37f7, 0x701853be, 0x56c6b613, 0xf87ce2e7, 0x20cc16bf, 0x32fdc287, 0x56581cba,
+    0xb26185e1, 0xbf9a1c6b, 0xb8301cc1, 0x7ce0be2d, 0x4ac0e3e4, 0x185adbe9, 0x74205a0a, 0x629b3afd,
+    0x10b37138, 0x063c7e36, 0xb73bdbdd, 0x44ef8f92, 0xa0019fc4, 0x9fa4d744, 0x08a84373, 0x386a19a8,
+    0x03cb4c91, 0x584a78aa, 0x2a0b38a7, 0x693701bd, 0xbe110d3f, 0x48396149, 0x09654d75, 0xb11db0a6,
+    0x234db197, 0xa87ece7c, 0x9114fbca, 0x979afe91, 0xd741df35, 0xc023b407, 0x81fd6226, 0xda6e4d61,
+    0x24822505, 0x247a7b05, 0xfb989f3b, 0x9b3797fe, 0xb9763e05, 0x0f7c755e, 0x142ead71, 0x717d05fb,
+    0x390e8bf5, 0x517cfa7c, 0x4290567c, 0x0dd3a7da, 0xcd668bb0, 0x28528bb0, 0xbce8ea04, 0xb39eabfa,
+    0x3e580e4c, 0xfcd72023, 0x4770b7d1, 0xd11fb8c5, 0xa4232650, 0xde78c5a3, 0xb52a4734, 0x7f1358c5,
+    0x9e775892, 0xe5e4c023, 0x82a0a476, 0xbd124cdf, 0x1a9c3d43, 0x6ee5e0c2, 0xa72bfffc, 0x58c4a137,
+    0x82f1f6c3, 0x9840aec0, 0x6be8ecb0, 0xd3a11c18, 0x68ee1063, 0x61e61655, 0x2ab42a95, 0x27b908f2,
+    0x295a54a1, 0x7fbaf615, 0x5494068b, 0x5ef0a756, 0x8b0b2efb, 0xd4805da3, 0xf3bd8d1d, 0x50c6b504,
+    0xa2d399d2, 0x9103422d, 0x80774d44, 0xde51cddf, 0xdf59a589, 0xce670477, 0xfe2be3f4, 0x5856a0a2,
+    0x5755c8f2, 0x0ce5cc7a, 0xc770005c, 0x37cae8a9, 0x6360347a, 0x5b97c255, 0xe638674c, 0xaa16a262,
+    0xe2519672, 0x3ccd9572, 0x955a81bf, 0x8faf8f8a, 0xb3186a76, 0x6679ae9d, 0x44914585, 0x1132e3c7,
+    0x1f4173ac, 0x84e518bc, 0x8d54120f, 0x5ffc58c7, 0x9f6d4c26, 0x58abba53, 0x7b149d56, 0x08e42514,
+    0x46d3ccc4, 0xdf41dc2b, 0x7ac92801, 0x40f8d5ff, 0x8264189d, 0xab96aa7c, 0x62a99c9a, 0xe9b77098,
+    0x03e2c895, 0x25206482, 0xc28e0400, 0x3ef78594, 0x73028156, 0x5e464092, 0x4ef35ef7, 0xff8ead34,
+    0x65ed94d4, 0x3c3f14ab, 0x20b86c27, 0xa9a42b5b, 0x01afcf53, 0x769ab6c4, 0x8b7069c4, 0x0f34efa8,
+    0x4fc27557, 0x2a6ebda7, 0xbea4f5bf, 0x21e84b74, 0x94f791d2, 0x4224afd1, 0xf419a089, 0xa6bbcdfb,
+    0x4ad45862, 0x8bcad7c5, 0xded881d2, 0xe8cc73b5, 0xf21cec64, 0x69518bd9, 0xa53b2f0b, 0xa7c44a6c,
+    0xebbd2916, 0xa22e0ac6, 0x3d0206cb, 0xd691b8c6, 0x919f07c3, 0x20f3dbf6, 0xdef47f73, 0xc7104fce,
+    0x0641ecb3, 0x53543f4e, 0xd51da17c, 0x634d97dc, 0x218c0087, 0xb80c11b6, 0xf95b3da4, 0xd1debdfc,
+    0x3fcd3a3e, 0xa38c08c3, 0x6ac90f6b, 0x86b853b7, 0xd727b3ea, 0xce6f720f, 0xd0dda7fd, 0x56078ba9,
+    0x71940831, 0x7228eb62, 0xc20cacaa, 0x2db8738a, 0xc47fb887, 0x064745c7, 0x138e0300, 0xf2a7011d,
+    0xbec7da9f, 0xa1be6225, 0x86c275a4, 0x8c643fa3, 0xdaf93a21, 0x47c0a242, 0x1e3699dc, 0xd873dade,
+    0xe1d753c5, 0xde1b5b58, 0x7a23e75c, 0xcf467779, 0x2806560d, 0x64a3876b, 0x558be46f, 0xfd6c0200,
+    0x4ab49c6a, 0x2312a40f, 0x792e074b, 0xc787f518, 0xb8e66b62, 0x315ba92b, 0x084ab24c, 0x1333d64c,
+    0xadc61f58, 0x60d74417, 0xee1c3115, 0xa94b8b74, 0xbc54ad47, 0xcf8170df, 0xffc98be1, 0x31eae866,
+    0xa6fa6f14, 0xbf93a0bd, 0x61c53bc3, 0x620a77f4, 0xa37c319b, 0x8974f56e, 0x6d56734d, 0x8a15fbe6,
+    0x489b8976, 0x4b966c09, 0x3090d71c, 0x1c15fa14, 0xc538f945, 0xaf34069f, 0x3da3f654, 0x096bbeb7,
+    0xd94be746, 0xbc474e3a, 0x15166c7e, 0xff1d292d, 0x9f2776d8, 0xb49b465b, 0x7dad4581, 0x74d6ab2e,
+    0x2a8a2f27, 0xbe06b0d6, 0x01f777dd, 0x58752438, 0x69c0882d, 0x196eac0a, 0x076c6552, 0xaab8fed6,
+    0x6459bc7e, 0x760338d7, 0xee8cc653, 0x7d6af07a, 0x6c552cc5, 0x2a6b21e6, 0x0e43fb5a, 0xabadbeaa,
+    0x4966a1e0, 0xae84cac9, 0x80ee4db9, 0xa767c741, 0x65fd8261, 0xebd171c5, 0x3e22484b, 0xd38daa2e,
+    0x58d3942f, 0x0aac2f05, 0xe7537faf, 0x207af44b, 0x21886083, 0x308216aa, 0x368015f6, 0xc979f9f2,
+    0xe2f0159e, 0x3c8df6ee, 0x45d46f43, 0x598c39e7, 0x589016d2, 0xe6ef0714, 0xc6eae98a, 0x62ae9e92,
+    0x26d31ad4, 0x464ed85d, 0xda6bc760, 0xf8275e9a, 0x6d4cf788, 0x8e1bb09a, 0xa14b50b2, 0x9be9b620,
+    0x00000000,
+    0x1bd9d6a6, 0x6cb62aff, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000784637716923335095479473677900958302012794430558004314112 */
+  { 0x00000000,
+    0x7901bfd3, 0x94488103, 0x74959f6e, 0x8c91f02e, 0x6685c888, 0xdb19d924, 0x10992f2f, 0x79d0c85c,
+    0x6a62adae, 0xf7d60d18, 0xb26d40ac, 0x6d214dbe, 0x82776a75, 0x66014dc1, 0x34937acf, 0xf8727cd7,
+    0xe071d684, 0x20895c10, 0x1f328f4d, 0xd82a5e5a, 0x4c3c7081, 0x3432c8fe, 0x7617969c, 0x4fc1ca58,
+    0x7e258b7d, 0xdf090310, 0xf51927fc, 0x37b1568f, 0x7e6742d4, 0x4cc7f214, 0xa41db86f, 0xc1256de9,
+    0x56ff0add, 0x23b2db35, 0xa6a7a0bc, 0xc79ce39a, 0x1c5806a1, 0x42e7e977, 0x99c4af06, 0x69adb281,
+    0x39b51ec8, 0xa498057a, 0xdf268981, 0x6bbeeb30, 0x6bce6800, 0x44f9e080, 0x33c26c4e, 0x5119af90,
+    0xc42e6222, 0xc19c3d93, 0xfeb2ad57, 0xd72eba16, 0x686d62af, 0xb464b665, 0x1b9c19e8, 0x2440a264,
+    0xa60c7000, 0x4a44e19c, 0x50d46f67, 0x627a1697, 0x5a67e0f5, 0x544cff23, 0x7a1bc89b, 0x5abbc22f,
+    0xc63fae19, 0xdb10beac, 0x6225c7e6, 0x2a076424, 0xd2c94740, 0x2414b357, 0x4341030f, 0xb3abe55c,
+    0x8c5f2559, 0x745ad6eb, 0xcdc58ac3, 0x5073c6a6, 0xfa4d8b62, 0x82191c31, 0x4b899654, 0x0fb97c72,
+    0x8c2e34f1, 0x11303fc9, 0x7364a53d, 0x7b87b95c, 0xaf6b8b3c, 0xfeb82875, 0x5663f69c, 0x599a2d3a,
+    0x572aaadf, 0x33dc8b35, 0x76a57e24, 0x4baaebc6, 0xa679df4b, 0x6dd6fec4, 0x1c982280, 0xb4812c55,
+    0xc1aeaa02, 0x262b8d63, 0xd3d45b51, 0x661aa39e, 0xa1e846a3, 0xe241c122, 0xdf5ce1bc, 0x6c0a99bd,
+    0x49790d38, 0x2cf8d754, 0x3b5a5e8b, 0x0d758f02, 0x7e0a0d9c, 0x7175080e, 0x9b97bd30, 0x36829791,
+    0x31c7ffef, 0x3495083b, 0x24f0abe3, 0x7362ffa7, 0x6d17f4d1, 0x54d5c65b, 0x0496e08c, 0xf8a3e58a,
+    0x603c4e9b, 0xb9abc01a, 0xe9527fb5, 0x6f41077c, 0xc635a2ce, 0xa6dade60, 0x00130b45, 0x9f622748,
+    0x06ffc53d, 0x55ba5807, 0xd54e4f57, 0x5143b54d, 0x9951ae39, 0x480d6459, 0x7e640bb7, 0x97a5a6ea,
+    0x7f651fe8, 0x0e6e9107, 0xf7cae6df, 0xe432ce89, 0x29b521e8, 0x445073cb, 0x64c72856, 0x2fdf5815,
+    0xd11a2b9b, 0xf7fa1192, 0x197776af, 0xb4f38b6a, 0x1173b01b, 0x0aa9eef8, 0x8b7390db, 0xbe963da7,
+    0x646b922d, 0x87fad330, 0x7c25d6d4, 0xeb001367, 0x6799209b, 0x85930a49, 0x2fcd3991, 0x505fdd76,
+    0xd0eadbaa, 0xf1ebf013, 0xbe42b7cf, 0x9b3b9512, 0x152b15e1, 0xffb3a3da, 0x8deead6d, 0x6c82b909,
+    0xe5d726d2, 0x5c2fe9e5, 0x9b9ad01f, 0x80b44e2d, 0x609b97d1, 0xddb9cf01, 0xfbf21484, 0x6ae25b9c,
+    0x153e7a49, 0x6d7dd5f5, 0xf1bb3923, 0x7f7b05da, 0x90e78772, 0xe5b08cc8, 0xea83b9d8, 0x82c3d76c,
+    0x5060d009, 0xe7b293ce, 0x44d1d5c6, 0x39a7a533, 0x2603173b, 0x0698b33e, 0x466f50e0, 0x965fff96,
+    0x30db8e54, 0x086a904e, 0x9946a335, 0x28b0d292, 0x3b1d758d, 0xc306c365, 0x2b78218b, 0x4bb46c55,
+    0x4ceddc0b, 0x362693b4, 0xbfbed4b9, 0xb4e90753, 0xa7fa52c1, 0x6dad196a, 0x89715a45, 0xee57badb,
+    0xaa15fdb1, 0xeee9e2d3, 0x9188ce80, 0x610b8035, 0x80aace60, 0xd2cf5662, 0xede1e169, 0x37bc3fff,
+    0x1c4b74f0, 0xc661549b, 0xfc4398f7, 0xbbbf31cc, 0xee47f63b, 0xe2074dd8, 0x5aad44c4, 0xeb777071,
+    0x556ca97d, 0x53250668, 0xa5e2cb55, 0x039ec5a9, 0x1aeafb0f, 0xdfc4a524, 0xd9fa71e6, 0x12f979e8,
+    0x7a7f9468, 0x70bc415b, 0xb0fe80e3, 0x4eac1983, 0x178ece9d, 0xf4157520, 0x9e00cfee, 0x1864ed44,
+    0xdd3633c9, 0x3450f879, 0xc7f49bc2, 0x7f1b0592, 0xc9802fad, 0x1fcc1981, 0x617f171c, 0xea010f38,
+    0xb4245ba1, 0x42fe5634, 0xea0c383c, 0xd731635b, 0xc84a7d50, 0x2980804f, 0x8012677b, 0x2cabf099,
+    0x5fd6a5dd, 0x4daec3da, 0x8529254a, 0x0235d5d5, 0xeba37d75, 0xb69e1584, 0x40f6c319, 0x059e6453,
+    0x548387d2, 0x08e5c241, 0xf8cfb738, 0x54f8a615, 0xbce188b6, 0x4feb3da9, 0xc7fcc406, 0x87727e05,
+    0x6c222df1, 0xf8d24591, 0xc04adadf, 0xcfd35682, 0x6bd6fa2a, 0xd3b01989, 0xbdb30e7a, 0x5b2767dd,
+    0x935792e5, 0x29b26e19, 0x9cdaa6ff, 0x6eb5a633, 0xbc360d8e, 0x07b882f1, 0xff96f93e, 0x8d515485,
+    0xf1b1ba3f, 0x685073bc, 0x3ee5400b, 0x158f2dc6, 0x80aa3aa9, 0x470fc749, 0xe462c0b9, 0xe4589b6f,
+    0x64fa4c30, 0xafe39935, 0x028ee981, 0xf5ca912c, 0xe2cf9544, 0x45a75793, 0x67566214, 0xa5ded3b9,
+    0x0e23c8d9, 0xd8da0a9e, 0x9167cd52, 0x72ca7f2a, 0x71dc1093, 0x963ce232, 0x4bd8edde, 0x48624575,
+    0x57528666, 0x21309637, 0x0aaa9fe4, 0x0c76cec4, 0x09af0c84, 0x58b4f008, 0x94819863, 0xcd3df32f,
+    0x2e753224, 0xc4ad6283, 0x7e9aa8e2, 0x3de4b5ff, 0x1a9b369e, 0xf1d668b3, 0xe1651e74, 0xef0443f1,
+    0xcad4aec1, 0x4c36c3ea, 0x42fc1f6f, 0x0c72d2a7, 0xa2665294, 0x7f2e1959, 0xda615e2f, 0x17871c03,
+    0x969c1b63, 0x3d9865ac, 0xac5e5aaa, 0xf6f8e0ed, 0xc174bb06, 0x34ca39a1, 0x40b33af1, 0x73df49d2,
+    0x9faa2079, 0xff8fee75, 0x869545d3, 0x33bc6e57, 0x796f3796, 0xb4253d55, 0x7d1b9999, 0x21c8f6a8,
+    0x1a450948, 0xd3e09cdf, 0xdca01f22, 0x077fe673, 0xa2cbd89c, 0xb33f11cb, 0x59593a4c, 0x9199c1ca,
+    0x13c5035d, 0x161959b1, 0x97c5da99, 0x95888aa4, 0xd5671902, 0x12b14b4b, 0x81924b83, 0x6e2b79a8,
+    0xf3bd620c, 0xe7a9f0db, 0x8a5ae136, 0x8746d1b5, 0x74cf0abf, 0x9da0999b, 0xe769f00f, 0xaeb95951,
+    0x9cfe28bb, 0xe83b5e09, 0x64de0197, 0x4334b679, 0xa43581f5, 0x3bae29b6, 0xb7c5972d, 0x788c9469,
+    0xa6b8c5b5, 0xa20b5434, 0xe89ce95f, 0x4549a803, 0x1c079398, 0x1978610f, 0x97887a27, 0xf5990e47,
+    0x804d1d8b, 0x59c41841, 0x712550ca, 0x02745d51, 0x161339b0, 0x06f4f58d, 0x1f68e240, 0x972ee498,
+    0x92277783, 0xca6ce671, 0x359973b8, 0xd7b4a32b, 0x63991045, 0x059a343e, 0x0b5bdf60, 0x657f700b,
+    0xb45e26ab, 0x582b81c2, 0xb3272de8, 0x52af2c02, 0xb6f6dca3, 0xdf6c280e, 0x7f7936a7, 0x56ba8384,
+    0x46ae2847, 0x0bde56b2, 0x2f20a221, 0x9b705e21, 0x0dbf67bf, 0x7e459810, 0x10f99353, 0xef88e918,
+    0xd3cf71d8, 0x2dd6b8b7, 0x431156eb, 0x89f28b6f, 0x26a123fd, 0xb61ab92c, 0x2c1a1828, 0x5130273e,
+    0x96fda592, 0xcf0c0500, 0xcc6461bc, 0x823018f7, 0x7151d876, 0x1a3abd83, 0xd20c8ced, 0xad09de5f,
+    0x2efe6945, 0x4e4a1fe0, 0x2e5acd81, 0xe3087730, 0x371d7796, 0xa6d539be, 0x723adb64, 0xcf8dc19e,
+    0x3c58552d, 0x79b5fe54, 0xb692011d, 0xadffc9c5, 0x3d5eb887, 0xa4943475, 0x18fa73b3, 0xc0b621ef,
+    0xbba4b1f7, 0xde37c0e1, 0x6af1c990, 0xe4bca844, 0xbba14283, 0x48054f2a, 0xff0b534b, 0x19081147,
+    0x4ef83741, 0xde23f75a, 0xd14cb56c, 0x8eb3eed0, 0xb0f2772d, 0xd9682f6d, 0x81565f6e, 0x718015a3,
+    0x9d5ccb5a, 0x88e865d4, 0x0b30ec2d, 0x667936f1, 0x83424cd7, 0x13246c7c, 0x64419cdf, 0xef5e917b,
+    0x5085e24c, 0x92785df4, 0x37c0d13e, 0xc4563357, 0x260aceb6, 0xd0e956a6, 0x30cc473c, 0x52da4f40,
+    0x3114e116, 0x375bbe2a, 0xc24d1b9e, 0x78c7f857, 0x2655dcea, 0xba65738f, 0xf5888d67, 0x1a5fbb36,
+    0x49df870f, 0x5e5d8b09, 0x9c0ee2df, 0x663e0d95, 0xfa06e872, 0x06f73a95, 0x97f015c1, 0x81cae0a4,
+    0xfdce3e11, 0xe3d4cb35, 0xa3c6c7eb, 0x36df90d8, 0x1ab9c422, 0x431ff7ca, 0x57f01563, 0x1202d2aa,
+    0x3616d2bd, 0x18432360, 0xf5839d16, 0x5c71e059, 0x6001b4e1, 0x4ef22004, 0x8172568b, 0x1c5070bb,
+    0x039713bb, 0xdc426a45, 0x53265fc5, 0x013aac49, 0xd0f7e953, 0x9126bf43, 0x33e7c1da, 0xc217cf98,
+    0x1b280d1f, 0x18e8b9c2, 0xb599fa79, 0x020b975f, 0xc1b7a5e2, 0xb6765368, 0xeb71745e, 0x31d8ea82,
+    0x92edd40b, 0x8d4effab, 0xd3cfad94, 0xa5d04ef1, 0xb9fb036d, 0x194f8ae3, 0xbcb70ce3, 0x13bd668f,
+    0x95921fd6, 0xdbc2c4e2, 0xa2164514, 0x780a2d4e, 0x9c833dfb, 0xedb771ff, 0x97920bf9, 0x7dbe49da,
+    0x98526abd, 0xdb7946db, 0x6594f5ed, 0x4308c9d8, 0xa42bb64c, 0x1efdda76, 0xfe3d3355, 0x1b008b53,
+    0x6b62623e, 0xf537a39c, 0x73c7a51b, 0x905ef144, 0xbf825f7f, 0x0a75bf15, 0x83626d2d, 0xfb8d317c,
+    0x0ace2447, 0xa88441e6, 0x7e41ec17, 0x764e9298, 0x56e96902, 0xd5e5cccb, 0xc8bd9849, 0x68a19567,
+    0x63b923d6, 0x532d5803, 0xe6094b05, 0xe349b0ef, 0x038f1a6c, 0xb838a949, 0x09581f1f, 0x201c3d03,
+    0x8c5aade7, 0xc5321da5, 0xc96d477b, 0xfc03fee6, 0x75e723fb, 0x179dccd2, 0x716d3c71, 0xe374430d,
+    0x806029e2, 0x62499f54, 0x6cc41258, 0xa21aa383, 0x0bd700ed, 0x1ebbb2d6, 0xb5a82bc4, 0xc63dfde4,
+    0x095506d0, 0x77a1176c, 0xb75aebb0, 0x83237ad1, 0x9d5df803, 0x52e0f024, 0xb937a100, 0x195b35d9,
+    0xed9c7c1b, 0x7328b327, 0x11b10a3f, 0xda43546d, 0x1ea985a6, 0xc1bae7fd, 0x68db598d, 0xef057444,
+    0x20ede680, 0x569c8883, 0xc6cabc3f, 0xa8308b80, 0x042a5276, 0xdb3e0712, 0xee408d4e, 0x44645eaa,
+    0x5b3bc026, 0x1c36f9b1, 0x5185541f, 0x2bed7172, 0x1ac880f6, 0xb5813317, 0x74010b7f, 0xcdbf7f6b,
+    0xd6da53a4, 0xa61f93a3, 0x6fabba47, 0xbca25034, 0x0effcdb5, 0xd2021675, 0xaf839602, 0x5853673f,
+    0x35ffcd04, 0x0a97c45d, 0xd078bfc5, 0xb168fde5, 0xa95f68de, 0xe7c4d974, 0xc2d3795f, 0x6a436d08,
+    0xe26d6829, 0xac7cc64b, 0x1b7a5b8a, 0x2e08311f, 0xf8a39299, 0x8d3b6f65, 0xa121968a, 0x66692b76,
+    0x970f2ec0, 0x771e8c97, 0xccf651f1, 0x860dd70b, 0x3aef92d7, 0x9928b864, 0x42dd379c, 0x3a10e3f2,
+    0xcd57f40f, 0x61d43ba4, 0x6f3d5f5f, 0xc4ee03c1, 0xead0e099, 0xf5f993e4, 0xa11ffe24, 0x5ae7910c,
+    0xf416ba6f, 0x1ba3b0b2, 0x14502a81, 0x1882f99b, 0x937249de, 0x3334a864, 0xf64d8452, 0xb8313a1d,
+    0x49513625, 0x29e68bed, 0x5d9871a5, 0xf7e9e520, 0xa304998f, 0x44d9c2c4, 0x8ed411c2, 0x4d43ecfb,
+    0x27040399, 0x890b214f, 0xdb5cc926, 0xc0ce1222, 0x9ed5c3ce, 0x2e3b4c14, 0x106f62bb, 0x5d902cae,
+    0x5840eb99, 0xb3214f6b, 0x29a77a27, 0x9509b714, 0xf93f21e1, 0x6c12471d, 0x12091020, 0x99c5d064,
+    0xf9a6af05, 0xcfe5fb83, 0xf1e20eec, 0x0fe1485b, 0x13c6807b, 0x16178ce2, 0x37821234, 0x15b8f189,
+    0xc9b77ac5, 0xbd4baf6b, 0xeb52e7c8, 0xc0329a2e, 0x0c50a296, 0xa06d8dfc, 0x7378ecf0, 0xb7d69dca,
+    0x0d06c874, 0x56b2ef6a, 0xea3d21a6, 0xfb7dd346, 0x9be1ec99, 0xde8c7ce3, 0xbb8c29c0, 0x66e170a9,
+    0x880cf090, 0xdf8c4940, 0x50a320d3, 0xf1df2a4f, 0xf89f13cd, 0xf9d46ce7, 0x7939dc10, 0x803a84d6,
+    0xc8a7a37e, 0xa9bb59e7, 0xcadb3f2c, 0x038f13b3, 0xd79890c1, 0xf5887ce4, 0x199efd4f, 0x9c111818,
+    0xc2e03cfc, 0xe31795be, 0x02cf245f, 0x44d4b87d, 0x17359593, 0xc09ba047, 0xb9685468, 0xd885b084,
+    0x012e4da0, 0x9d8165dc, 0x3133aa04, 0xccfc9973, 0xa90ede72, 0x2d8a20c9, 0x1ac0c918, 0x663119f5,
+    0x87dc0c5e, 0xb59674b1, 0x5ca7e15c, 0x9b902ecb, 0x4580354e, 0x93095a19, 0x06bec118, 0x0f0dff36,
+    0x86a1c678, 0xf30b9d53, 0x46771ad8, 0xaf0bd97c, 0x03d7f48e, 0x954d106c, 0xd07171d5, 0xd47af5aa,
+    0x75d3c4fd, 0xf01e05cb, 0xf3e20b33, 0x0f8a859c, 0x4e4b65fc, 0xd440de6e, 0x767bbd6c, 0x705b5ff1,
+    0x38fa9c4a, 0x636628ac, 0x9e4c75d0, 0x2c89086b, 0xfeddca0e, 0x59652b2f, 0x4ead6af3, 0x491d6acf,
+    0x333010e3, 0xf143afc9, 0x2837e96c, 0x34e85539, 0xf27e2e4a, 0xeab382ef, 0xa93a1844, 0x42ebe3cb,
+    0x3ceac0e9, 0x0a68a555, 0x44de84b7, 0x8453dd82, 0x0114e6c7, 0x946c1c62, 0x52277dcb, 0x927c77ac,
+    0x4b6ae0db, 0x6809139b, 0xddd7651a, 0x0d45c6b5, 0x0935b6a0, 0x533d87fa, 0xe7bc85a6, 0x52b6ef22,
+    0x6aeccec3, 0xce0e26ab, 0x51cededf, 0x898dc722, 0x5781d006, 0xc6b5af1f, 0x298b828c, 0x15fe6ec1,
+    0x7e00cb9e, 0xe7260ec9, 0x85006a5c, 0x46bd1982, 0x47a6f805, 0xa52d80ca, 0x8625899b, 0xafea3e41,
+    0xb8803dc7, 0x442b143d, 0xd7a701f4, 0xeaa8bfc0, 0x574a1d3f, 0x9f391ce9, 0x80fd6d97, 0x753febbd,
+    0xa0144963, 0xa53e8949, 0x47780393, 0xbe214587, 0x9506ebad, 0x78734788, 0xb3d26a4f, 0xb172b2dc,
+    0x898f811d, 0x4a940c28, 0xa0f806a6, 0x534e1e9d, 0x66369cbb, 0xab7840ab, 0xb30fad01, 0x78a12575,
+    0x34e804b7, 0x0fcbf040, 0xf7e469af, 0xaa4c3cbf, 0x35993e94, 0xcc02dfbe, 0x8a138cb0, 0x4522bdb3,
+    0x67bf9527, 0x0996ee5c, 0x2670bb4d, 0xdb16a5f7, 0x29f96316, 0x40cc1ac2, 0xf1f4de2b, 0xbeedf47e,
+    0x39c5fef5, 0xf4434176, 0xdee4d03d, 0xa25db35a, 0x39c698bf, 0xa4109b7f, 0xf37d531f, 0x1a36ff16,
+    0x8a757fb0, 0x2cf033ea, 0xb2ff821b, 0x1dee0674, 0x1b4af405, 0x2b4e0607, 0x7b2a2121, 0x89c9b4ed,
+    0xa969434e, 0x4d49db73, 0xac6c50ee, 0x908030fd, 0x242d4d12, 0xfc69a364, 0x302ddc51, 0x3d54d6d5,
+    0x72ef38bc, 0xaf41e415, 0xe81c51e0, 0x0d212178, 0x4c9497fd, 0x30fb6802, 0x101fe907, 0x81884298,
+    0x41b85990, 0xa3563972, 0xd205b311, 0xd1ff6f24, 0x0bdaf86d, 0xa893d024, 0x616d8f94, 0xc385e0ef,
+    0xed168391, 0x8b27db62, 0xb000b889, 0x26082424, 0xe5da03e2, 0xab065257, 0xa9facb74, 0xe1fad3c6,
+    0x153bb47a, 0x15e68050, 0x00ee4049, 0xe1e512a0, 0x547e777b, 0xaed998fa, 0xcb497aaf, 0x3a7a2229,
+    0x1218141f, 0xb62e581c, 0x59df9fd6, 0xb9cb5a88, 0xb2f6b504, 0x5757adb3, 0x2c4e3ad2, 0x8ff28776,
+    0x5c2195dd, 0xb4ca8c2f, 0xa214306f, 0xf678a449, 0x37d34c0c, 0xd84637c0, 0x6524ad47, 0xbdbd1809,
+    0x27e32ca1, 0xbc496505, 0xa535edba, 0xb5a52940, 0xb9d99f19, 0xcdcb88ff, 0x4432d219, 0x5a9cb962,
+    0x7474f017, 0xc2d64120, 0xef765fff, 0x5ac4f8a8, 0x76b08978, 0x5f3e1bea, 0x0619bf96, 0x96d70540,
+    0xa3ee746c, 0x7ceaab07, 0x68ad67a6, 0x7e7c73eb, 0xaaa41042, 0xa20758fe, 0x1c193184, 0x1b09800f,
+    0x12e76660, 0x135ead90, 0x4983aa85, 0x1f81d797, 0x5db86b3d, 0x67d102e1, 0x305cf561, 0x7cb5801b,
+    0x2f6e922c, 0xfc3401fe, 0xec247a7f, 0x326b21d3, 0xd5f0ee9b, 0x39f52431, 0x24e0abfc, 0x5650ee81,
+    0x34371446, 0x645a866a, 0x5b320e80, 0x23b28433, 0x2062dbfd, 0x0b886863, 0x8ddc09ea, 0x64dfbe0e,
+    0x705033d0, 0xea13189e, 0x2cf3db1b, 0xd48b1da7, 0x88023498, 0xdffca9a1, 0x000922fa, 0xc002a833,
+    0x9f01bd31, 0xff984bdc, 0x61619203, 0xfda49e45, 0x175f7990, 0x9a5e4dc2, 0x5342d5aa, 0xc7c8bed9,
+    0x00000000,
+    0x8deceb52, 0x365b157f, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000392318858461667547739736838950479151006397215279002157056 */
+  { 0x00000000,
+    0x7e295501, 0xcaca10dc, 0xc355863f, 0xf0389bfd, 0x0d30f649, 0x9c5a5c33, 0x0f491647, 0x6cf3eb09,
+    0xfd2b53e7, 0xe3659674, 0x29ad4fff, 0xdd263880, 0xf42280e6, 0xf688a3d0, 0xc19737a1, 0xd99f7e15,
+    0xbc82d518, 0xafb66b9b, 0xae3654a8, 0xd1330986, 0x37a743c1, 0x5d3d583d, 0xfb7039ae, 0x532c153d,
+    0x91c468ad, 0x9cdf5481, 0xa711936e, 0xb65537a6, 0xf7cfb461, 0x65bcfb99, 0x9b87ca88, 0x35d56cba,
+    0x89bcedb3, 0xd3851816, 0xa6c5bd59, 0x5eefa08a, 0xcf97e9fa, 0x9b1be904, 0xf66c5f62, 0xf4940e7e,
+    0x8c9597c1, 0x4e791611, 0x5b0a2527, 0xb8ca45c8, 0x584172ac, 0x7db09a83, 0xc8857c9d, 0x080e502a,
+    0x772e65fb, 0x6d4d505e, 0xe400804d, 0xdef85fda, 0x14532891, 0x1f0b4d0c, 0xb859fd6c, 0x076dabec,
+    0x7f72bbc2, 0x87b1bcf5, 0x163b5727, 0x5af2ff80, 0xa99b43e2, 0x88ba1aaa, 0x89ef262c, 0xadd9fcc4,
+    0xe46d116a, 0xcd98971a, 0x285759b1, 0x8469cd38, 0x9f0558f7, 0xaeea019a, 0x69d243ba, 0x2cbc1908,
+    0x0b46e08d, 0x43ad1b11, 0xe6d05cad, 0x72160890, 0x1b584360, 0x1ea41d21, 0x85f01aae, 0xa5e47ada,
+    0xc69b8aa9, 0xed4bb225, 0xa5257625, 0x570d5f02, 0xa38215a4, 0x4aef9ddb, 0xf7084902, 0x6722c15f,
+    0xce943aa0, 0x9e8c02c8, 0xea6d9c21, 0xdd9526b3, 0x4fbdaa71, 0xe6c47b1b, 0xc5bcd28d, 0x40882a9f,
+    0x7179835f, 0x60634ad3, 0x458f2e91, 0x8e05bec5, 0x854f51f0, 0x218ea6cd, 0x6517fc24, 0x357e67b1,
+    0x3518097e, 0xabc4c57d, 0x9d5cc1bf, 0x10b28119, 0xe6de1c63, 0xf2b3a9f5, 0x70379518, 0xe640f248,
+    0xa85bbc72, 0xb942b3ff, 0x521cf23d, 0xd1d085c4, 0xf1d28315, 0xb369e536, 0x5ac3bd50, 0x47e6a9ec,
+    0x77e2575d, 0x752ba072, 0x0d25684b, 0xa27f1530, 0x1dc0f750, 0x2dda7207, 0xd3b44d9a, 0x2ae93a6a,
+    0xae663b7d, 0x2d8117f5, 0xd7282ced, 0x21e02643, 0xf1ba9ea4, 0x6a3a168e, 0xd6f0aac2, 0x048c92f2,
+    0x1cacb99e, 0x53a04d8e, 0xdddf20ee, 0xd378f012, 0x34261436, 0xd117e073, 0xbb9c2c50, 0xcb5cf0ef,
+    0x88cec735, 0x6e34e565, 0x5c346cc8, 0x8b8734d3, 0xa71927d9, 0x32dd368a, 0x33bdd081, 0x611bb17a,
+    0x1511a562, 0x07c26623, 0xdeefd2c6, 0xd8bdf23f, 0xc796e777, 0xba66225c, 0x79a810ec, 0x6ce1ad8c,
+    0x784933e8, 0x15976b27, 0xd0d4ef08, 0xdf660434, 0x6126e17b, 0x79df30ea, 0x293cae0b, 0x042de548,
+    0x8606aa1a, 0xc894ffd5, 0x702e04a7, 0xa35e025f, 0xc75b7e99, 0x34220c88, 0x735e7e32, 0x12f0cd85,
+    0xe5e6609f, 0xbcc4fcd5, 0x8c6eb449, 0x89d9347d, 0xae804191, 0x5f8a137c, 0x6900fb27, 0x8fb571ab,
+    0xe4f899e1, 0x57b77db6, 0x4ef35983, 0x576341f4, 0xcaf5f427, 0x3b0283f2, 0xafe18961, 0x9c2b8f95,
+    0xffd29dc3, 0x38c5756b, 0xdcebe12c, 0xf94fe758, 0x4407a5f8, 0x30e5d671, 0x43b1eca2, 0x096696c4,
+    0x75f43cc4, 0x1ad12db2, 0xfb7440db, 0x432e46fd, 0x621ab029, 0x3fe3a089, 0xa82a0676, 0xf622f4fa,
+    0x90073bc3, 0xb9462106, 0xcb1da3d9, 0x66776fed, 0x21bc8242, 0x04ac8ecb, 0x66acab22, 0xb404ed13,
+    0x9d63ae45, 0xbde7049c, 0x659562e2, 0xd4b645d8, 0xbf18c39a, 0x931d29f0, 0xb0486e20, 0x6ead1d63,
+    0xea4fd07c, 0x1d006764, 0x7a7822d5, 0xe9cee533, 0x9019b5b1, 0x2d26a798, 0x82a49681, 0xd7f94c30,
+    0x856efc8b, 0x32cc91e7, 0xab3462db, 0xab42c500, 0xe1304b57, 0xbae669c2, 0xfc06e57f, 0x1a5461f4,
+    0xe4349b55, 0x76ed4dcb, 0xe0f6e128, 0x24d7827e, 0xe5f86e2f, 0x6424cda4, 0xe3eb5dd6, 0x96d5dcc5,
+    0xbb67dca5, 0xcac5f710, 0xece77608, 0xee5df00f, 0x389de2d7, 0xd6cb4d4b, 0x5f2a6318, 0xee908f6d,
+    0x04ca38fa, 0xb80fc41c, 0x477938ea, 0xbbc83c33, 0xf2605655, 0x616342c0, 0x40ff5e42, 0xbefda600,
+    0x745dcd9a, 0x34169bc0, 0xcb81e14d, 0x0816892f, 0x93b55d3c, 0x980f62b6, 0x5e159b9e, 0x213f4bd3,
+    0xe7008aa9, 0x698f0161, 0x3708ef02, 0x8d0a711c, 0xa2c77e33, 0xef8272ba, 0x3ba00b4f, 0x32f15ca1,
+    0x8f344efe, 0x95ff6af9, 0x3bc549f7, 0x491b7487, 0x89e1b17b, 0x019c95bc, 0xd6479f93, 0x1660f562,
+    0xe412b628, 0x35d44212, 0x90628743, 0xeb56134e, 0xf6f2ce85, 0xf2cdf7dc, 0x787743ba, 0x1f44ff4d,
+    0x3185349d, 0x8b4cdcdf, 0x88bae566, 0x5867c9f2, 0x78c31f0b, 0x5d96f84d, 0xc514ca2a, 0xaa4e5a36,
+    0x69f3e079, 0xaf35869f, 0x0ed20361, 0xcf979f73, 0x644a881d, 0xabf1bcf8, 0x760da2af, 0xd33f6c50,
+    0x3c29029e, 0xad888e91, 0x3914cfa4, 0x3f77130e, 0xa72b0be1, 0x010171b7, 0x54ced525, 0x9ca2e578,
+    0x83a3e23b, 0x235c4a9e, 0x226faf5a, 0xdec0fd46, 0x1e5b8c10, 0x1ea3f6cc, 0xcc8099be, 0xa986cac2,
+    0xde38c438, 0x16266067, 0x087dfdbc, 0x9456335f, 0x8f0c7218, 0x9d4e7169, 0xa479fbe0, 0xc3604e15,
+    0xf75f02f6, 0x1a65e049, 0x1735825e, 0xbc7bf6a7, 0x1df483fd, 0xba4cb08d, 0x1347453c, 0x660039dc,
+    0x285560f8, 0xf2959710, 0x58ef5362, 0xe0b90ee7, 0xb0a80d87, 0xf58f91f7, 0x13349e6d, 0x69c6cddf,
+    0x5c5fdbb9, 0x72971276, 0xdca35ee4, 0x5f18e6cd, 0x144427c0, 0xf4c6d943, 0xf0b69c23, 0x4699ef06,
+    0x080c77c0, 0xc8c346c5, 0x44ccaf73, 0x21ff8456, 0xd82076bb, 0xaad3926f, 0xa1f3d76f, 0x88dec300,
+    0xb3aa5603, 0x3d0c190e, 0x0733303c, 0xbaf784a4, 0xfb9fbba7, 0xd712858c, 0x749dbc0b, 0x38326f9b,
+    0xeb67efd0, 0x29e712e8, 0xc398c47c, 0xa5071577, 0xc78aad6a, 0x3fc93bcc, 0x2401149c, 0x045bc44b,
+    0x1e92fcc5, 0x88a9e689, 0x896f85de, 0x7971c04c, 0xe32dfca5, 0x5f2584d0, 0x68732d16, 0x8ba6a33a,
+    0x1ffe1587, 0x30cae898, 0x66747b94, 0xbe1c5d61, 0x27427031, 0xd8d26514, 0xf54c0a75, 0xc77cc795,
+    0x6779a418, 0x4b7d49ea, 0x5d296c21, 0xed8591b3, 0x787cf517, 0xf50658b6, 0x2b7a37a9, 0x371fe23f,
+    0xe533409a, 0x927eb13d, 0x99b6d456, 0x16f2b05d, 0xf9a2d6c8, 0xfd863a9b, 0x7673e838, 0xe3850816,
+    0x767bcf15, 0x9c2d88e8, 0x6da5089a, 0x1681d7fb, 0x03ba1cf5, 0xebfa6a08, 0xd7697c01, 0x686b4ea9,
+    0x1371c01f, 0x38653273, 0x19d276e1, 0x71e93ffa, 0x0db3b836, 0x22131b3c, 0x600455c8, 0x6bca8c1c,
+    0x3635f6a9, 0x462ec9b3, 0x84888d24, 0xe64d13b7, 0x583d906e, 0xd604aea4, 0x0d776580, 0x929cf857,
+    0x001a640b, 0xdd162827, 0x2a6dace7, 0x9d9209c5, 0x3411a68e, 0xb60b2d00, 0x400d70b1, 0xdcb8288d,
+    0x1b8aa862, 0xe3994940, 0xfb603a40, 0xbbcc9423, 0x8345910e, 0x585dcacb, 0xa9f32707, 0xf30cba53,
+    0xf189a521, 0x9aafea69, 0x6ce8eddf, 0x4329bada, 0x91ee833c, 0x6f6a0258, 0x9419d5d5, 0x6a749db9,
+    0x9cfdda61, 0x90a00344, 0x979eacad, 0x5e41c591, 0xa96eda84, 0x1d1440ac, 0xfb9307ae, 0xe228aa5c,
+    0x0b7db75d, 0xbaaf62de, 0x83a50765, 0x64f7d372, 0xb4decc27, 0x6456addd, 0xafbe8602, 0x79d6663b,
+    0x6e8f5ad1, 0xe3e2785e, 0x69b13350, 0xae785e5c, 0x916c0476, 0xe280365f, 0xadde5895, 0x8b61010b,
+    0x6fc9c202, 0xf42ed87f, 0x1cd07988, 0x080351a2, 0x2cde6df2, 0x31c892d0, 0x8193fdf4, 0xa723bcc0,
+    0x260ed6a3, 0xa33af8e1, 0xed4d6b35, 0x9bf6ee33, 0xfa3c0c72, 0x9de8a329, 0x0da65fe5, 0xd99dfe88,
+    0x1a68c1a2, 0x4a594796, 0x6189612a, 0xa522a089, 0x5881529a, 0x3d34660e, 0xcfe37573, 0x65dbc28c,
+    0xef253d75, 0xd8b6c7ed, 0xfece75ad, 0xf2c832f4, 0x7cd4a328, 0x9307a444, 0x9545522f, 0x226f08cd,
+    0x04361024, 0x97db9d3f, 0xd43b2f1d, 0x83715dae, 0x7324bf8c, 0x3c76f014, 0xaed2dbab, 0xb4275713,
+    0xb1dc96db, 0x0abfe7cd, 0x4ba05e06, 0x6537f838, 0x5ee9434c, 0x0bb74eec, 0x5bd7ee7a, 0x1ecd24a1,
+    0xe47d13e6, 0x05bf6299, 0x62373e88, 0x172ce462, 0xf7842869, 0x562c0b1d, 0xd0b62e76, 0x500b8feb,
+    0x1ed2c407, 0xf211083e, 0x794c876b, 0x8b6bbd15, 0xb3c80d58, 0xbd4fc598, 0x7f9a3a4e, 0x45bc092a,
+    0x52cc4b34, 0x098183dd, 0x83eea5bd, 0xe9707012, 0x23702e44, 0xe056e08e, 0x4e4eabfa, 0x59143370,
+    0xebe41a99, 0xa29d33dc, 0xac31eee1, 0xb875b541, 0x0826aad5, 0xd2091b6a, 0xe699e70a, 0x31ca25aa,
+    0xf9c03cb1, 0xfb4ad5a9, 0xd3a10909, 0x7acec7ff, 0xa3fe6510, 0x0dc86075, 0x4f35100a, 0x517f1315,
+    0xea3ff415, 0xc30a78b5, 0x135720c0, 0xfd429e55, 0x33dd5f54, 0x1f6481a0, 0xb6a10329, 0x60e65181,
+    0xc2a925db, 0xa32e6d0e, 0xfed2aaa3, 0xac651db7, 0xd564b0d7, 0x57e3a383, 0x9dcaaa14, 0x20bd0bd5,
+    0xcf289f78, 0xa296c486, 0xa22038e9, 0xbc175f09, 0x28c2c816, 0x5a65e42b, 0xbf8b6f83, 0x4e9901c1,
+    0x468775ff, 0xda1e7cf4, 0x9cc96fc6, 0x0ca11ee5, 0x6747e27a, 0xcee9a165, 0xea72caf4, 0x4ed5d47b,
+    0x1db93ae1, 0x36263b27, 0xfcfaad20, 0xd4f5ed59, 0x536c8f6f, 0x988c1f06, 0x181e8773, 0x8f70d918,
+    0xc74ce5b2, 0xec06e8de, 0xcceb2486, 0x100f0240, 0x6316ec21, 0xf8c4f660, 0x3d20740e, 0x0ee80cc0,
+    0x1f8a94a3, 0xfd0ac4f9, 0xd37407bc, 0xec760564, 0x6f29f49e, 0x333f8f53, 0xa2a7b1ed, 0x65191d9f,
+    0x4fb5c8a1, 0x1844db87, 0xf0434b0e, 0x02b98d0c, 0x577518a9, 0x055dddcb, 0x0666624d, 0x75c4effe,
+    0xb805e13a, 0x30e676de, 0x549703c2, 0x4216d723, 0x976db13b, 0x55f77e9a, 0xfd63ec78, 0x00180b08,
+    0x06e45668, 0x0a0c8255, 0x5881704c, 0x5bf716d1, 0x017d3f58, 0xcf77dcc1, 0xfc52316c, 0x6cae3d7e,
+    0xb5ab623a, 0x7048fbea, 0x67c2f120, 0x87d1c616, 0xfc2c0c3e, 0x7cc90080, 0xd9990225, 0xad219c5c,
+    0x9ed2a141, 0x61958c2a, 0xa09de74f, 0x283075ac, 0xa0b6014a, 0xec07c368, 0x64f61de9, 0xea1e37b8,
+    0x4a9fbbd4, 0x32efd3b3, 0xa601d597, 0x1ae25f57, 0x75750cf5, 0x311f6c36, 0xe101b343, 0xd1909d70,
+    0xc2c2b264, 0x61af8679, 0x8288c274, 0x56c798c2, 0x8b144eed, 0xe7e89d86, 0xfdafc42b, 0x2492b46b,
+    0xd69f3b5d, 0x3aaaa7d2, 0x981ef77c, 0x0c0afdc9, 0xe890b05f, 0x66bd7299, 0xeee593ca, 0x4b62229b,
+    0x0e541798, 0x0566a461, 0xed3c7b63, 0x74764422, 0x6ca5aff4, 0x3e29c190, 0xfcc1074c, 0x9945fe15,
+    0x19e39233, 0x8e0b2f33, 0xca16fb05, 0xb03ee3ee, 0xe539b087, 0x164c4874, 0x7496a9c7, 0x330f4462,
+    0xc7e9276b, 0x9da7ffa4, 0x7d89d325, 0x792d1932, 0x858ae765, 0xd116a81d, 0x3a43389e, 0x316dd941,
+    0x4e9f4754, 0xf0fddfd3, 0x5ea57a44, 0xc20aef5b, 0x881a10bd, 0x6143d8de, 0xab587783, 0x840f4d2a,
+    0xbd4b2beb, 0x9f21158f, 0x3ac395b3, 0xd928cf16, 0xc264d853, 0xc3962af2, 0x86a6bc51, 0x8b6205b6,
+    0x34a6b04a, 0x1c20a492, 0x44707467, 0x366d81bc, 0xf39ec506, 0x812980b0, 0xc59c5081, 0xf530ebd1,
+    0x9b64aaf9, 0x338730fe, 0x3783ab77, 0xff37cd26, 0xfe8d3e44, 0x03e1eb44, 0x518a77dc, 0x7baf1407,
+    0x64e991db, 0x7ed33d56, 0x56a843c2, 0x578f85b6, 0xcdcfd609, 0x8f7b4e75, 0xc0456276, 0x2445973b,
+    0x2c419166, 0xdceb50fe, 0x06c5e4ee, 0x7a16297b, 0x8f28712a, 0xc49fd67f, 0xac55c6ac, 0x87685929,
+    0x0014b6ee, 0x8f02db89, 0x63d2afff, 0xbca1fc75, 0x34b420cf, 0x8880c8c6, 0xdea04b63, 0x62c8382d,
+    0xc0aff3f9, 0x62472dfa, 0xe3d7d7c2, 0x71f8dfcd, 0x68be674d, 0x20145aab, 0xd88363df, 0x83e60308,
+    0x412d191c, 0x3d1b2f66, 0x7f3b3647, 0x2b3ed01b, 0xac76dd0d, 0x9a32f63c, 0xef7bd10f, 0x80c2f41d,
+    0x13fb1669, 0x827add5a, 0xb6d329e6, 0x9e7d00ec, 0xfb757f76, 0xb5247e00, 0xcb1c5287, 0x1f320cfc,
+    0x89d077b1, 0x0bdc0dce, 0x61ea025b, 0x93394e7e, 0xcae3095e, 0xfaf4aa44, 0x57b116a8, 0x633e92e1,
+    0x22630a42, 0x7cf72802, 0x8ec9567c, 0x4f61d3fe, 0x359047c3, 0x93530311, 0xaaf501c4, 0x92648441,
+    0x7c9501f4, 0xa27cbfd1, 0xd0d24ba1, 0x4ed5ca92, 0x1e5f8831, 0xb2923122, 0xc862a923, 0xd72fbba4,
+    0xb8938bf6, 0xae35036c, 0x73341fcd, 0xe50c6887, 0xeb44b92d, 0xe4c96f16, 0xa63eebee, 0xdcba1191,
+    0xa0f27c20, 0x3b218cd4, 0x0b5ab6f3, 0xf8dd06be, 0x97008127, 0x02abca49, 0x2e506e1a, 0xd16d4b4b,
+    0xd6275141, 0x9d5d5d28, 0xdc0daaac, 0xd73076e4, 0x148323f2, 0x6bae17ed, 0xe71fbfc7, 0xd43623dd,
+    0x2be46889, 0x36909e8d, 0xffe2bc46, 0xc27d155f, 0x55690999, 0xad17602c, 0x3a80b7b8, 0xa034a0db,
+    0xde72f957, 0x8d70f719, 0x7ae7a481, 0x31a6025d, 0x9caf0b33, 0x8d18f2df, 0xccea1987, 0xaeca0162,
+    0xae534abb, 0x4f500d13, 0x43ef9f87, 0xadfd2c8c, 0xba3b3b42, 0x24d1f3c9, 0xa77e1ba6, 0xd2539872,
+    0x738acc3f, 0x6f6493ee, 0x681c55eb, 0x89e7b8dd, 0x140a96f2, 0xa37e292d, 0x7a6a9772, 0xfb1afd2b,
+    0x58cd74ee, 0xb1fb4cdc, 0x21a91976, 0xa1a2c34b, 0x35f675c3, 0x2c9341f6, 0x509c7366, 0xd8441cde,
+    0x0c04bbc0, 0xaf7bcfb9, 0xc82ba55b, 0x6c0b99db, 0xdabdfad1, 0xb262c09d, 0x4dcfa68b, 0x9335b3af,
+    0x8a281fba, 0x3e1ed0d4, 0xf63b4f89, 0x64655554, 0xd95dfba9, 0x39a5e29d, 0x099fc02e, 0xfcab0df5,
+    0x843b877f, 0xc1a9f2b4, 0x761b1cc4, 0x9e0181ac, 0xec01a31f, 0xffddf19a, 0xb363b64b, 0x03592642,
+    0x2fcf9d28, 0xb094433d, 0xf1fe1c17, 0x04dd6ba6, 0x2a567714, 0xc749676a, 0x2edac950, 0x808c29e5,
+    0xe406e96b, 0x60a11369, 0xd04ceccf, 0x891323e1, 0x5e9bfa71, 0x7da20ef1, 0x3c21abbc, 0xe421e244,
+    0x61259a18, 0xd152e59a, 0x96f04630, 0x86cd5f87, 0x8bf22b90, 0xf46d5a5c, 0x5d49f299, 0xa15520aa,
+    0x3ffed0b3, 0xf83ba689, 0x155b719e, 0xf112dd7e, 0xaad61475, 0x9af106ee, 0x4d2c6d4a, 0x3ee45c3a,
+    0xfa78d3d1, 0xd7b55e46, 0x5d6486dd, 0x743c65d8, 0x1f11743f, 0x8b21b5f3, 0x27d4ef61, 0xcad6cc77,
+    0x260826a1, 0xec3247e6, 0xaa35c58b, 0xcb766430, 0x1d4fffdb, 0xd21f8ef1, 0x9980d746, 0x72c341ea,
+    0xc128578d, 0xe14414f8, 0xf7d9d71d, 0x52fdbc91, 0x303feb61, 0x57626c37, 0xd8d8cd54, 0x6ebdc16f,
+    0xe825c7f0, 0x8584c2cf, 0x04c5bd86, 0x6f843d84, 0xf9c38946, 0x701bfaa6, 0x0060c49b, 0x5f69f13b,
+    0x23e349b7, 0xe4d3cf7e, 0x90ee6022, 0x8bd9a7bf, 0x60cd30ab, 0x96835720, 0xfe40c27d, 0xfff57530,
+    0xa9df8738, 0x354ae822, 0xf2d9b5f8, 0x95bd4fce, 0xdcb0f06d, 0x3f4aa8d7, 0x05c1dea1, 0x4c18227c,
+    0xbd6ab232, 0x1a5ca11d, 0xfed23fff, 0xc15121d4, 0x74ed8b83, 0x30fd40c9, 0xc473b764, 0xd1534835,
+    0x9b906543, 0x085c6c24, 0x6062b978, 0x073f06ff, 0x23b3a816, 0x098b1e0c, 0x533b747e, 0xe226ec23,
+    0x00000000,
+    0xc6f675a8, 0x9b2d8abf, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000196159429230833773869868419475239575503198607639501078528 */
+  { 0x00000000,
+    0xe2e72b3e, 0x7d0cdbb5, 0xb694df6f, 0x0ac0d037, 0x51542205, 0x4f016520, 0x4a3033ea, 0xd15f44a1,
+    0xc1753fef, 0x1d62b19e, 0x6c2db3df, 0xb164cc93, 0x40a6a881, 0xb0a372dc, 0xed299be9, 0xaf82f042,
+    0x52349296, 0xf0960f80, 0xc1b6729b, 0x9c47fa4f, 0x1760b0b1, 0xe3c5b62d, 0x5fc8d133, 0x127b155e,
+    0xe56be6aa, 0x2322b505, 0x99e79e49, 0x4471de3d, 0x7937913f, 0x1819bbb1, 0x573501fa, 0x1ef3e080,
+    0xec41d225, 0x23c9b0bd, 0x26b2c815, 0x88c56cee, 0xc7c8e635, 0x99117c69, 0xb20a964b, 0x9746ac30,
+    0xc7572084, 0xe064d09a, 0x0a7ab535, 0x051cdbc2, 0xd600f00c, 0xb3a0641b, 0x5f3b2ed9, 0x36826030,
+    0x8b78f9cd, 0xbe4a9309, 0xf12c4225, 0x14e245f0, 0x512712d7, 0xbc558293, 0x8ddae01e, 0xfe834e14,
+    0x69354535, 0xc630a4a3, 0x8e730f43, 0x9c4821c1, 0x6e5f4bff, 0xafc1bd12, 0x6703c569, 0xff6c96d1,
+    0x68c13253, 0x1515c4b5, 0xec192f1c, 0x2bfa333a, 0x7a86e787, 0x1dd0e7d3, 0x3420e6d4, 0xf16e13fa,
+    0x373d4c25, 0x9b58518f, 0x419a60eb, 0x44617ac0, 0x678ae97f, 0x834ba736, 0x6ba90d4c, 0xa6741f79,
+    0x1c9c833b, 0x46d4ded4, 0xf970b7b2, 0xbb234172, 0x17c07450, 0xb92de616, 0xd33b90e3, 0x625d792f,
+    0xa53afbcd, 0xfbbb2de6, 0x14e7ba32, 0xa848b533, 0x088aa3d6, 0x848f5522, 0xe86d7c7e, 0x42aee281,
+    0xc4a4fe73, 0x6117d043, 0x4101b84a, 0x02c0be4a, 0x047b62e1, 0x42258295, 0x0334a95f, 0xb917ce4d,
+    0x79fa6706, 0x20def760, 0x4717730c, 0xea7b8bd4, 0xfa9d61d2, 0xec4a0c84, 0xde714daa, 0x632942bf,
+    0xc036f91e, 0x2bbd7a9a, 0xf7e7e394, 0xd39d039b, 0xdbbc7a60, 0xd0b4e387, 0x7bd33683, 0xb7bece79,
+    0x2033e7c8, 0xa776c071, 0x1cec6465, 0x79e36c77, 0xd321caf9, 0x3147d9f1, 0xdfeaeb92, 0xac3f4bde,
+    0x45c92865, 0x717d0ac2, 0x8ea395db, 0xb5f764af, 0xfa186537, 0x15f534b2, 0xaaa0d99a, 0xab04e492,
+    0x028ba1c0, 0x6b067d2c, 0x3a511009, 0x0aec12cd, 0x3081cec1, 0xe51d5799, 0x3a39cdb2, 0xc2686122,
+    0x8a7fd0d1, 0xbbd1c800, 0xaa2193a1, 0xd5391e31, 0x29c451f0, 0x3de6b802, 0x617e9941, 0x322d5b51,
+    0x521c9563, 0xd3e9eec3, 0xad32df09, 0x72e90a08, 0xa58ca8c8, 0x97483a8e, 0xfd9d19ab, 0x519b1923,
+    0x780865b7, 0x48ba1d7f, 0x5d00f89a, 0xaa031554, 0x728c8203, 0x5bd3de30, 0x5079f52c, 0x356a86b8,
+    0xd453921b, 0xd6abf51f, 0xabcfd4ed, 0x4d08c9da, 0x82f89623, 0x2bfea450, 0x220ec263, 0x0d3c5eb5,
+    0xbe3ae7ac, 0x14b8f71a, 0xfbd61552, 0x7914480d, 0xbe601c3f, 0x1fd5ffd2, 0x5794b900, 0xa76a9729,
+    0xcfa84417, 0x777d60ce, 0x7aa6521e, 0x4dbf1906, 0xd792b0d5, 0x19051a77, 0x9d65eb66, 0x36c75341,
+    0xd4d703fb, 0x273faf3a, 0x77e87f80, 0xe7442a74, 0x4203c7db, 0x677935a1, 0xf0d5fb27, 0x0ee57060,
+    0x3eb189e4, 0x6f193158, 0x94b371a1, 0xe4ba9ba7, 0x449d3d28, 0xccf79e9b, 0xeb3526f7, 0x7386f8d0,
+    0xe74c48c0, 0xb2d867b6, 0x24806063, 0x55d8779b, 0x0f926bd8, 0x950da714, 0x611b0fab, 0xa5c80698,
+    0x87642f69, 0x64de41c1, 0xaaa8585f, 0x2a49709a, 0xae59c496, 0xe0f7e6ee, 0x605d3ca5, 0xb4d67e5d,
+    0xfbcb6cd6, 0xa615a532, 0xe00e1786, 0x7d3ebd2b, 0x26e33380, 0x20432626, 0xe2e9cc3b, 0x1e86695f,
+    0x056445e0, 0x686c0e02, 0xabe8380e, 0xaa4f3fb5, 0x0a7cf3ab, 0x4d9d19eb, 0x53566199, 0x076e4fe8,
+    0xc8389c83, 0x9b653c1e, 0x913eeffd, 0x62474e70, 0xfab255d8, 0x7f5c51fc, 0xf8ac1301, 0x848e5795,
+    0x542e9df4, 0x9e272f34, 0x16e6e97f, 0xd971b533, 0xdd8c60f1, 0x81d395c0, 0x38e00377, 0xea303d16,
+    0x9d8c512c, 0xfa04aebd, 0x3ab64e63, 0xf26942d8, 0xb4e3b992, 0x6880b16d, 0xe8077347, 0x8447a46c,
+    0xa370c8a6, 0x58e501dd, 0xd0a0b391, 0x92505eb6, 0x1c803d77, 0x18460041, 0xd08448a3, 0xa7dd2720,
+    0x840c8ec7, 0x06c59e3c, 0x6dcf0a9f, 0xa3a76906, 0xe8b3766b, 0x78b28fab, 0xaf5dbfcc, 0x2f5e2b45,
+    0xb61fcca0, 0x6870a2ae, 0xae77f902, 0x23660f38, 0xa41ccab3, 0xa53cccc3, 0x787362f2, 0xc06564ae,
+    0x737af76d, 0x346313f1, 0xd5671d92, 0xcdbbee5a, 0x1a77041f, 0x6f6f077e, 0x3db0a464, 0x1855d05c,
+    0x6442a2df, 0x2574f35d, 0xc5a16c82, 0xf35ad89c, 0x3817d9ca, 0xf694e5ed, 0x1948228c, 0xa967c3ac,
+    0x1a27b9fc, 0xee8bd7f4, 0x5c91d574, 0x1f44d9b1, 0x162671a8, 0x13faaf71, 0x24e25d54, 0x2e21ed3c,
+    0x3a37d17a, 0xc6f6f35b, 0x7962fe14, 0x41b6b610, 0x46c73ffe, 0x2b4b6a73, 0xb5e17bf8, 0x149b8264,
+    0xec05e655, 0x7c29f906, 0x6ca1b3e0, 0x58fe2c0e, 0xf79daa53, 0x4488e3ba, 0x77d6629a, 0x876cf1ff,
+    0x6ac38ffd, 0x5feee420, 0x67c69c1b, 0x85458bb5, 0x587c463d, 0x3f262fd3, 0xac13a74d, 0xf7793b6f,
+    0x67dc5406, 0x5f27aece, 0xbbe51858, 0x6a340557, 0x0ebc4364, 0xdd8535c8, 0xf3b7d3b1, 0xa456d071,
+    0x0ee251a4, 0x81a2bf14, 0x370fd380, 0x9ee3ac24, 0xe4e7ea76, 0xbcf62db1, 0xd37a8fd8, 0xdfaf3518,
+    0x24cfd81c, 0xf26ba331, 0x41a7a65e, 0x759c8f5f, 0x4f9aaa37, 0x634b8c43, 0x2fd3ca58, 0x1f2df1db,
+    0x6fe99b33, 0x3dd0997c, 0x83ea043c, 0xf6efbaaa, 0x626088e3, 0x9485ec45, 0xea2db8c0, 0x25b462d4,
+    0xab001fc5, 0x67292b62, 0xbaa4165a, 0x356171d9, 0x947cf3ea, 0x63c2b579, 0x7a1f1d72, 0xcdea25b5,
+    0x499c142a, 0x47d42f70, 0x35650ad5, 0xa4e06c86, 0xb503290d, 0xee2e08ae, 0x1bae1c7a, 0xd973d82a,
+    0xab6c944d, 0xf62d5aa8, 0xff1c9df5, 0x8b9a1f3d, 0x5bd40b43, 0xe40a4f45, 0x40814ce6, 0x3f34504a,
+    0x1de221d4, 0x1bb7509d, 0x2d722fe8, 0xa11f9fba, 0xc67cd9e7, 0x126b237f, 0xa1b373a2, 0xcdb3702b,
+    0x01caf5f9, 0x398934d4, 0xc88df860, 0x9fcc6cb9, 0x89356769, 0xd8e70cb4, 0x353023cc, 0x056b4324,
+    0x137f45fe, 0xfbd802aa, 0xd771e814, 0x91f39462, 0x77c55edc, 0xc576fe7d, 0x51d5b268, 0x972ab672,
+    0x2cb7ed8c, 0x405bd5ae, 0x1c83b459, 0x58f80305, 0xccd387f5, 0x9416d55b, 0x3e78829f, 0xc944fdcc,
+    0xa6fe0b50, 0x95f741b8, 0xd8312b9b, 0x16f0751d, 0x2bb3e65b, 0xad67d164, 0x6f59ae32, 0xa4428410,
+    0x411b087e, 0xa602f38d, 0xf2e95600, 0x7675864a, 0x8a8ec0ab, 0x1f9bb53f, 0xad1c8fd8, 0x9c400baf,
+    0xb9ff4a9b, 0xf5686504, 0x775b4ea9, 0x50c64a70, 0x6303be92, 0xc7c98b21, 0x4a2162c0, 0xfdb1ef7a,
+    0x43d67afb, 0x69e1f5e2, 0xfd280b31, 0x95a898cf, 0xa2397b93, 0x5108d891, 0x014ba9d7, 0xf56e3fbe,
+    0xeed92615, 0x597d0dce, 0xafa467de, 0xfe870405, 0xe0ce03a9, 0x29a0c225, 0x5bc809a7, 0xea5ed98c,
+    0x33326337, 0xcb64231d, 0x031bd97c, 0xf1a75e2a, 0x0d29a2da, 0xd6db2469, 0xa271ed92, 0x2393e26d,
+    0xeaab7fa9, 0xaafaca9f, 0x0bbbad98, 0x2278f211, 0x020dc550, 0x21083aa5, 0xa0a1d407, 0xeacd773a,
+    0xfcaa6fd0, 0xb5d1555b, 0xc5901180, 0x5e915cbc, 0x5716c505, 0xbc13f182, 0x31019759, 0x827561ce,
+    0x899a218b, 0xe9ca1537, 0x00852226, 0x57e0f19a, 0xe3fef1eb, 0x6d07b767, 0x156caa56, 0x2d16714a,
+    0x22c15f7e, 0xe82d2c5a, 0xeedf644d, 0xcd39ccc5, 0x89f542d2, 0x297154b0, 0xa4740860, 0x57a40003,
+    0x5f2d283c, 0x144f0b05, 0xf514afc2, 0xa616af5b, 0x4f10df31, 0x1c3163c6, 0x689b3130, 0xcf2ced87,
+    0x34c9ac96, 0x58a86897, 0x923af29b, 0xf3ad9639, 0xcba40f5b, 0xb4c4694a, 0x0b5a1e6e, 0xdb7e0346,
+    0xf85a21f4, 0xb26a568a, 0x7a089461, 0x6cf6e779, 0x81002777, 0x42dbab58, 0xc4593a80, 0x274bb172,
+    0xaf5403b7, 0xc140a79a, 0xad12bc80, 0x493f4afa, 0x6584f564, 0xead33b8a, 0x4cd0c681, 0xd4a66144,
+    0x9c6992ef, 0x06e79760, 0xd171d0d2, 0x9d7242a5, 0xe625274e, 0xede9c274, 0x25488721, 0x65c24e08,
+    0xe8adc58e, 0xf84df59a, 0x5f4c212e, 0x493a3aad, 0xf7e257ad, 0x9988c86d, 0x479c2a7c, 0x95ae2078,
+    0x26a048f3, 0x1563320c, 0x3a21d05b, 0x65de54aa, 0xeb99c1b3, 0x675d701c, 0x6ca203f7, 0x7876eb47,
+    0x341e8adc, 0xb32dfecb, 0xdaeebc5e, 0x5842d6b0, 0xed8d4985, 0x75fc0f27, 0x227298e2, 0x8ecbff35,
+    0xbc4ef44a, 0x1f0b7653, 0x74c79ce1, 0x8cb692c1, 0x91bec66f, 0xb8611f29, 0x38b045fb, 0x77e3f7e9,
+    0xe5f2e6cf, 0x6c644cb1, 0xde938f24, 0x84c549ea, 0x9756f5b1, 0xb269a8e2, 0x09ec5391, 0xca4c93bb,
+    0xd8ceb896, 0xaa1a90bf, 0xcda6d2b6, 0x0114456a, 0xef5677ff, 0x2cbf8cbd, 0x1a9ff1b2, 0x3a31fc9c,
+    0x5e9bc9bb, 0x04c0abf6, 0x5469abb6, 0x5f610b24, 0x4ce60236, 0x39806f2d, 0x74ebec8c, 0x317677cb,
+    0xf623980b, 0xa90c8b1c, 0x14d26e01, 0xab1bc89e, 0xbad378e3, 0x2c3aa282, 0x4d1a588a, 0x5d9f0543,
+    0x632be75a, 0x55086c0a, 0xcb7b0bdf, 0x4865d9a9, 0x3e6ac05b, 0xf32b2c94, 0x71117cd7, 0x042eacbd,
+    0x34e5733b, 0xe776182e, 0xd2d5a092, 0x4962e14b, 0x4094a6a8, 0x3083e065, 0x16089048, 0x97988d73,
+    0xbabd7470, 0xc2ccd018, 0x0dac48fc, 0x03ec7930, 0x86fbdf7f, 0x37a308c3, 0xc039b16e, 0xad30791a,
+    0xce9d434e, 0x1fd7f678, 0x3cc54b0a, 0x555b2b1b, 0xb4b1f7a6, 0x1933dc79, 0x51400d88, 0xbffe5386,
+    0x445e7042, 0x298509eb, 0x1650aab4, 0x58ac1321, 0xf2083c30, 0xd3bf95e5, 0x3c00b572, 0x1283e12b,
+    0xb2da9bc5, 0x136232d4, 0x3865139d, 0xbb101319, 0x91151dbc, 0x25a690e0, 0x433311cb, 0x439ab060,
+    0xe53a3cd8, 0xedfa49a7, 0x4ffa5668, 0x9c613f7a, 0xb5b6cd86, 0x08182f66, 0x23a9bbe1, 0xf09b0674,
+    0xbfea8db7, 0x86904854, 0x06e265a4, 0x8753a554, 0x2cd96efb, 0x2cface73, 0x48124234, 0x5825cbb0,
+    0x6b3214c4, 0xac8e778c, 0x92fb2969, 0x2889f31b, 0xd9ea3100, 0x8d214526, 0xd70d69ab, 0x78566552,
+    0x7be1f4f1, 0x1b6861a1, 0x07568561, 0x1a341fd4, 0xf87aa7b6, 0x5a87ba37, 0xdf40ce9d, 0x146ca904,
+    0xfce3b233, 0x7beee4e3, 0xbd294a21, 0x899fa960, 0xede8facf, 0x9e161922, 0x9f96ccdf, 0x4bc37ddc,
+    0x5436cc1e, 0xb143a78e, 0x881fd689, 0x1ec6736e, 0x818d8a02, 0x21e4930e, 0x61ba7e18, 0x93214f28,
+    0x37421fe9, 0x270051d6, 0x10359aa3, 0xb14ef2e8, 0x1beef2a0, 0xa7f20e59, 0xbada0d71, 0x8cfeff21,
+    0xc05b4f24, 0x6e65538e, 0xfd571241, 0xc25a7147, 0x70dc1306, 0x1decef35, 0x837b0cb9, 0x127bea5c,
+    0x70a9e415, 0xa28c9448, 0xcf33281c, 0xb007c84c, 0xc4f0630a, 0xe6d11098, 0x255a976d, 0xfd398c29,
+    0x45c63e26, 0x3dc22562, 0x25931855, 0xb9dd08e0, 0x6ea7d214, 0xb79e010d, 0xbe943118, 0x35096812,
+    0xef8cf208, 0x7f984b72, 0x73d1e89f, 0xddef448c, 0x4a128446, 0x79eee10d, 0x43522f87, 0xca021cfd,
+    0x5336ac0c, 0xa98ccfde, 0xaceffd23, 0xfa0be5ec, 0xf831baff, 0xf4e069d3, 0x95725fc6, 0xf786ac7e,
+    0x904c68d6, 0x5f8961e7, 0x273ef893, 0xd55127be, 0x93d5d009, 0xe12ee407, 0xb9b751fe, 0x6f6afdea,
+    0xeced04af, 0xd8c22eb7, 0xd6b8afc9, 0x478c283a, 0x5ddac9e5, 0x5bfa9cce, 0xc120aa21, 0x574b08d1,
+    0x4f8cdc18, 0xbaec9418, 0x80bf265a, 0xdf0b551d, 0x612c3d76, 0x32e1a414, 0xd40a1971, 0x7f75218b,
+    0x490b9527, 0x7194d54c, 0x2d6bb74e, 0x4c4e9526, 0x589a88e0, 0xa5c1f7b6, 0xe0f7abc0, 0xe91112ec,
+    0x89173a2a, 0x7c5cbd44, 0xa457f6a7, 0x2b2cf257, 0x13e3b90a, 0xd3c0ca85, 0x2508462d, 0x52e555ac,
+    0xeed98dc1, 0x671a8a7d, 0xb1bc3f79, 0xb135fc7e, 0x1d125fe2, 0xce478b33, 0x19d03fc5, 0x1522cb2d,
+    0x5b3fa961, 0x6b365fa4, 0x5435f63a, 0xc56bb990, 0x24c3c276, 0x786975e2, 0x71a9023c, 0xe0efc5b2,
+    0x15d17d5c, 0xce7bfc83, 0x0221cd03, 0x35e51aed, 0x75eafb27, 0xb6b8f5cb, 0x2c055d7d, 0x94b5e3c7,
+    0x1d06f885, 0x9b6934a0, 0x764a95d1, 0x1e4f7bad, 0x9d11675e, 0xa250d659, 0xd4f9da02, 0xce7bfd21,
+    0x340dbefd, 0x61caad06, 0x501a0813, 0x65f09a5b, 0x6c384d1e, 0x076de773, 0x1b29a0da, 0x63ab7c09,
+    0x78c2fe3e, 0xfe4e2143, 0x48768407, 0xdc1c0aa9, 0x78b886ba, 0xa1dab64c, 0xbd6df9c9, 0xc09fb097,
+    0xc7fff290, 0x96c3e13f, 0x34e80922, 0x63fde7d3, 0xac147258, 0xc646e728, 0x6ca440ae, 0x09993816,
+    0xe7160492, 0xe4b83379, 0x21428c8c, 0x9b9a05ee, 0x7ed0bb1e, 0x012c4cfa, 0xebb903d4, 0x5ba228d2,
+    0xd3f32101, 0x0e0cf1ed, 0xedc10e45, 0x1ce1fab7, 0x1e8f76fe, 0x377533a1, 0x91519436, 0x2685ec6d,
+    0x4da52de6, 0x40d06d4f, 0xb8f5a044, 0x2af13f39, 0x319f82be, 0x2304a3ab, 0xb0e17c4b, 0x11334494,
+    0x37e78fcf, 0x7e72b0d1, 0x0a287cf3, 0xc183c43e, 0x830c3cca, 0x8cddafd1, 0x2f047bee, 0xfaa8e7e0,
+    0xc86da55c, 0xbeff0daa, 0xf26c47b9, 0xd042d436, 0xc72c94d6, 0x21d7b9e0, 0xdd389b7d, 0x9527a2a3,
+    0xe0dcc3b5, 0xe0536c91, 0x7d021264, 0x498c9ce2, 0xc9b8cde7, 0x637d9a26, 0xb3241cf1, 0xbd68adb8,
+    0x96cddeec, 0xf1d0ef91, 0x8b916b77, 0xcbbd415a, 0x3a8f1170, 0xf3c4f4b2, 0x2473d8cd, 0x3b27ab59,
+    0x7e9e3ab9, 0xdab202ec, 0xc3b13a80, 0x661251a5, 0x188f0615, 0x6964b72d, 0x4a8ba7b5, 0xefef3f56,
+    0x6d051478, 0x417c5f81, 0xb21ac25e, 0xfb98bb46, 0x9fddc03a, 0xaa1760b6, 0xedf9144d, 0xe651e68e,
+    0x23e5e6bb, 0xd35a143c, 0xea15fc66, 0x9510376d, 0x6444630c, 0xd608457d, 0x946fb8d6, 0x430b730d,
+    0x15d4a75e, 0x81fc568e, 0xd033dc50, 0x3fe18e66, 0x660aa10f, 0x1ac9f952, 0x03819ec9, 0xe690d99c,
+    0x5db74d54, 0x1742e84d, 0x24307e66, 0x9cfcd7ed, 0x7d75b588, 0x9890aca6, 0xbd6aa3c6, 0x3cc290cf,
+    0xca66b355, 0x6a93f8c5, 0xe5fc013b, 0x11514664, 0x0a4d9a27, 0xbc5c393d, 0xb2fa761b, 0xfcc32efa,
+    0x01444cb0, 0xe18f6a84, 0x29ce4893, 0xa843a815, 0x0138c349, 0xa0658b7c, 0xb79fcc78, 0x2591e21d,
+    0x55a93ab7, 0x90f22237, 0xd7e56322, 0x667ce630, 0xb21dce8d, 0x5e1af316, 0xb7a3507a, 0x075c9e85,
+    0x715c217f, 0xd6ac88eb, 0x11ebed10, 0x1bad6311, 0x2dfbd46a, 0xb93b12a6, 0xdb497037, 0xb4b5a071,
+    0x2c46313c, 0xcb6b0c90, 0x01ea61f2, 0xa6ef00bc, 0xfae6f1a3, 0xf34425be, 0xaaa88e64, 0xf8fb0de7,
+    0xeb1ba363, 0x4de35695, 0xc1e71b92, 0x68ae1576, 0xa43c0daf, 0x0faabcf4, 0x908be808, 0x78a022d7,
+    0x53003d7a, 0xabe26505, 0x69f7bc89, 0x67acf504, 0xde58343d, 0x58ff1df3, 0x119b0fe5, 0x4a625236,
+    0xff997322, 0x5a461314, 0x5dd8aedf, 0xe968cd43, 0xc43f2e13, 0xe721cb54, 0x1bb3de89, 0xf09d1754,
+    0x00000000,
+    0xe37b3ad3, 0xcd96c55f, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000098079714615416886934934209737619787751599303819750539264 */
+  { 0x00000000,
+    0xfcbb98ce, 0xbfa18472, 0x5dd5c427, 0xbf03acc4, 0x83b65c69, 0xab6cdea3, 0x61f4bb2c, 0x98af7d92,
+    0xf45bb8ca, 0x6ce145f4, 0x1148357b, 0x0db181f9, 0xfebeef20, 0x086a7427, 0x92395c9d, 0x772f7675,
+    0xe5875a91, 0x49579f2b, 0x1a1fa628, 0x441a4da7, 0xf9a790e0, 0x95d72d77, 0xb070fd75, 0x3ca2c58e,
+    0x65d20e04, 0x3a1baab5, 0xe7ea22fd, 0x157e329b, 0x193d6336, 0x955d1588, 0x9b218c8a, 0x14f0b60d,
+    0xe2bcb80e, 0x86235442, 0xc1406cdb, 0x3b99350a, 0xa234eb63, 0x6d1fb14f, 0x1539acc0, 0x11e38ac7,
+    0xb2c240b6, 0xa4ca161b, 0xa1a15f05, 0x3e1ef8d6, 0x9e5f00f0, 0xddc4d1b0, 0x830c4562, 0xd16b6419,
+    0x5a0f68e2, 0x8113a535, 0x5d918679, 0x438ef57e, 0x70cf2c08, 0x2612d2ed, 0x9124d18c, 0xed0e4b5d,
+    0xd585af0d, 0x036fee58, 0xa7a32cea, 0xdfa4657c, 0x6541066a, 0x0797b5ed, 0x5b9d1a52, 0x516d8002,
+    0x971a102a, 0x62c727cb, 0xa99d6499, 0xfd159334, 0x75f3b439, 0x04763c8a, 0x5ad3803d, 0xc8f2f489,
+    0xd72cd709, 0x56b13b2d, 0x0889754e, 0x84382551, 0xea1d16bc, 0xec224484, 0xffb1730d, 0x6031f883,
+    0xa3f7913b, 0x450ee655, 0xb08d6921, 0x00aa9688, 0x7430169c, 0xcffe59ef, 0xb1572ff1, 0x78da0234,
+    0x7a4a11af, 0x9dc7bb3d, 0xd06d4ca6, 0x5e3703a8, 0x57ff7370, 0x599ee28e, 0x943826ed, 0x87a8c1c8,
+    0xe09e220f, 0x852086fe, 0xa1da8d23, 0x73703557, 0xefaa4be2, 0x1f115197, 0xf9bef61d, 0x0333e46c,
+    0x99550aec, 0xcba6e217, 0x5ad38bd3, 0x1080e70e, 0x08f35eac, 0xf3261613, 0x022e3c66, 0x8f3eca3f,
+    0x6f411046, 0x964c5b37, 0x7e5d97e5, 0x057fb55f, 0x5d69e2a2, 0xa7b01433, 0x689df2c0, 0x417b46c3,
+    0x9acb51a2, 0x1b48311c, 0x05a77ee8, 0xd76c3bb7, 0x798ca41a, 0x6388c078, 0x682f585a, 0xf19fdf5a,
+    0x893e3675, 0x0132d6b8, 0x4f556dae, 0xd475a7f0, 0xc071be60, 0x441eb917, 0x19f2a042, 0x70c367b7,
+    0x2faf95de, 0x9af9d1cf, 0x10976a45, 0xb85ec7a7, 0x83393a5d, 0x57842517, 0x9fcdb940, 0x0676c1ac,
+    0x5ee07faf, 0xdc9dcdfd, 0xa9d557a8, 0x2a8ddb0e, 0xb54b4eac, 0x41c883e9, 0x0041ce9f, 0x253ff931,
+    0xb6707ba4, 0x19106acf, 0x1f2f2e05, 0xe7dccff4, 0xbc5af486, 0x60eff933, 0x77429bdd, 0xc74a0515,
+    0x8d98c39d, 0xd7fcd392, 0x69c7bbca, 0xfd18e776, 0x5cce507b, 0xba89f1dd, 0x9bbf8d52, 0x72774521,
+    0x00c5157a, 0xa5e4be2e, 0x9f889604, 0xf411268a, 0x41e7550b, 0xddf362f1, 0x3d92c2c3, 0x033c5385,
+    0xd62544bd, 0x7f1656e7, 0x10b860ec, 0xf89c08fe, 0xdfe6c3ff, 0x7daca7aa, 0xf2335f4e, 0xd219e655,
+    0xe53fcee7, 0x54b5c91b, 0x7dcff71a, 0x57eaf294, 0x400db65a, 0x7fc9b04b, 0x306e0c74, 0x829c8448,
+    0xd95e6114, 0xaea95fd5, 0x62e7d98c, 0xb6aedea3, 0x203ea7d1, 0x1baa8504, 0x554205bd, 0x950c1c16,
+    0x76972da1, 0x4c3ff07b, 0xc0b68f43, 0x592887a3, 0x1e647aa3, 0x0d9f4b3e, 0x8c546059, 0x78eaf030,
+    0x728c1e5b, 0x27641cdd, 0xfecfc366, 0x4c1a20af, 0xe4f73d4b, 0x214579d4, 0x82c7218e, 0xf25317cb,
+    0x5c4a669c, 0xfa254295, 0xb76f6e2a, 0x759d4b0c, 0x35a09792, 0x8e1c119f, 0x1f3f1be8, 0x7bd83f75,
+    0x17d072cc, 0xfcb299e7, 0xe26d3afd, 0xfe89a8ab, 0x04f11c58, 0x67204175, 0xda36e459, 0x4182128e,
+    0xfcb78796, 0x0003d1b2, 0x3673e948, 0x3a160bbc, 0x143722ba, 0xc904639a, 0x18c907f6, 0xdc16571a,
+    0x87e0274e, 0x5c57077d, 0xe789780f, 0x168e9957, 0x9bb083bd, 0x22a6ea51, 0x8ae5633b, 0x3492d3a5,
+    0x64ac82ca, 0x7261f321, 0xbfe3b3e1, 0x3288f5fd, 0x27033dcc, 0xeb052406, 0xa263639b, 0x593dfe9c,
+    0x09d9a6ac, 0x84dd3b85, 0x7114d80c, 0x7df653ff, 0x97722645, 0xc3594925, 0xef2c4470, 0x261e1a24,
+    0x8c9008cb, 0x4c9add01, 0xd7c06385, 0xd3271b32, 0xbe908253, 0x189f167a, 0x4893e9fd, 0x62c34f2f,
+    0xc5ba1239, 0x268cfdd6, 0x9fb5235b, 0xccc022e5, 0xdf71e0c0, 0x128babf8, 0x683098dc, 0x1f81bc68,
+    0x54a6c485, 0x3743dbc6, 0x80e1044d, 0x4df7c6b0, 0xea4905ad, 0x0a840160, 0xb5e5a5f7, 0x157aab85,
+    0x5fa0d6d4, 0x2c9f02e3, 0x071070ba, 0x0e3b93bc, 0x7ef1b173, 0x193e589b, 0x7fc4176a, 0xed332aaf,
+    0x70914e41, 0xd376efa0, 0xf15ea130, 0x217911b0, 0x9249864a, 0x728b1e45, 0x45e36b60, 0xbaf02fc9,
+    0xd80640a8, 0x5b37dc35, 0x13c1e6a6, 0x8d75d381, 0x94066c96, 0x1e305b44, 0x1c83839f, 0x3dbb15d7,
+    0xd91067da, 0x0f5fdb5d, 0xb38832d2, 0x0974cb28, 0xcd721906, 0x3f3286ee, 0xd70ee8dd, 0xb7712176,
+    0x04409fb8, 0x29a119e9, 0xd4ab0d26, 0xd40af2cd, 0x78256d28, 0x9666e9c6, 0xd6bf74de, 0x003cd0f1,
+    0xb1506122, 0xb9e1d054, 0xc1c36fe4, 0xee2ce1f1, 0x90ac5acb, 0x9d61b410, 0xdb74be6d, 0x73b1fd25,
+    0xcf7c067d, 0x7bdbb94f, 0xd38d8869, 0xc958c1d3, 0x1520efb0, 0x47e098f9, 0x27e1c10d, 0x05d40da2,
+    0x1cdc8d9a, 0x8636d628, 0x9ae1a555, 0x8fd8d7bd, 0xc6f154e6, 0x898c5ae3, 0x2d82a30b, 0x8c93cb94,
+    0x57d4f16c, 0xe38b4584, 0x257786d7, 0xf4fb12da, 0xb026b528, 0x7ed80c68, 0x7d74b3b2, 0x58afc990,
+    0x8ea85a86, 0x0bacc20d, 0x2f1e793f, 0xc21536ad, 0x4e54c413, 0x4c210805, 0xabef7478, 0xe6de1d4e,
+    0x04d3b02c, 0xb6e727cc, 0x9367a50d, 0xc9f728b3, 0x6055c4ec, 0x6b4bb10b, 0xcacf562d, 0xb63e7234,
+    0x0d5f855f, 0xaf8ed3f9, 0x5203de4a, 0xe3bbf9d8, 0x5f7267d1, 0xec9b5ab7, 0x75cfbea7, 0x72d35116,
+    0x67298abe, 0xfcef2df1, 0xbafcc840, 0x9e014ea6, 0x19413dfe, 0x75f4e17b, 0x25ec6fd8, 0x04cbaa5e,
+    0x97bafc4e, 0x82e2cfa8, 0x0f793632, 0xa104a007, 0xaf1f3668, 0x7367958f, 0x99eb17d1, 0x877c9202,
+    0x8da0d84b, 0xce96fc05, 0xf2b99c03, 0x090a1ee4, 0x80cb34a6, 0xc9775d77, 0x4d8569a9, 0x3493cee7,
+    0x95e83d42, 0x0f23995b, 0xf9676b26, 0x974c89f5, 0x7fa8e143, 0xcd33eecb, 0x9ac8266c, 0xd6d4fac1,
+    0x71fd16bb, 0xea37699b, 0xf2cac1ba, 0xc8e644d1, 0x40ad3334, 0x04f78bdb, 0x071f5828, 0x05885731,
+    0x896fcb7b, 0x51d8e176, 0x542141df, 0xf47e9641, 0xa3f65854, 0xdae6d4c5, 0x0f5ea2fd, 0xe9bc302e,
+    0xabeee4c6, 0x66ce3e42, 0xdb8a2afa, 0x41a5d7c8, 0x8f073411, 0xaaa775e6, 0xb3f01c22, 0x5dbf5dff,
+    0x4d873065, 0x4eea6b43, 0xbb636e3e, 0xe8bd3c03, 0x1ad99caf, 0x3c27b889, 0xc688ab23, 0x32fa379f,
+    0x10edf3b0, 0x654674a2, 0x5aa57d81, 0x64936163, 0xee459795, 0xda6a7fcb, 0xf2acba94, 0x9310e3f5,
+    0x7e9d00d7, 0x35033f6a, 0x026bf3a0, 0x50da6c72, 0x8d2c3440, 0x2c5e715a, 0x9c4730aa, 0x76180ab0,
+    0xcb061b7b, 0xd98ee907, 0xe44909f1, 0x3172e094, 0xe9df9254, 0x095f9bad, 0x6f529322, 0x63297ec8,
+    0x7f35c15a, 0x6a621701, 0x1ec5822b, 0x3085abb6, 0xac299422, 0x348fb2d2, 0x0b01fdab, 0xad0b4745,
+    0x8f69e423, 0xac774bd4, 0xc6b24bfa, 0x11221f83, 0x7c3aafcb, 0x96b9e119, 0x56ee0b63, 0x2db00736,
+    0x8f4e05d4, 0xfddee62b, 0x38d310aa, 0x36ff9814, 0xc7084de0, 0x9db533bc, 0x453ed32b, 0x97016871,
+    0x1a19b2ef, 0xcaf4db70, 0xb67b7577, 0x79e32527, 0x4685944a, 0xe328ed87, 0xbf129249, 0xfff3f22f,
+    0xccdcd989, 0x9d05645f, 0x12b53dbf, 0x021868c7, 0xf417d639, 0x44cb73e1, 0xa56c122c, 0x68e30872,
+    0x34133d76, 0xea7d918f, 0xafd9bea0, 0x3ea264b7, 0xb3795d4b, 0xab5f4c82, 0x9021f37f, 0x30a262d8,
+    0x18c2c0c3, 0x829ada1d, 0x29c3a38f, 0xfeee7363, 0x780d2d12, 0xcdd126cd, 0x7f03f4bb, 0x36ad6045,
+    0x983fac43, 0xea7cf4ec, 0xe16a1b3c, 0x9a027ced, 0xf59168c4, 0x812d2d5e, 0x9eb21cf8, 0xef32097c,
+    0xda24c443, 0x7a91cf73, 0xf2d12952, 0x2d32a563, 0xb6de6f78, 0x706b2a4a, 0xbea3a79c, 0x0aeb813d,
+    0x5a7505c5, 0xca25b25c, 0x02e430aa, 0x8ea6bce4, 0xa3c6f3ac, 0x2eb97622, 0x3b76ce5b, 0x511d51f4,
+    0x86a97a75, 0xaa71a949, 0xefa878fd, 0x914e1374, 0x848218ea, 0x5522eca5, 0xe63ec9b0, 0x9b664eb3,
+    0x912787f6, 0x09d5eb7a, 0x7b55807f, 0x6d885e5b, 0x9fa4f404, 0xb0b31fd2, 0x2479014c, 0x21d6c4dd,
+    0x9a00cabd, 0xa4d7c842, 0xdbdce18e, 0xca83a20f, 0xb9c3e679, 0x8c1edf2b, 0x7b23f7a6, 0x47ef80ec,
+    0x83f42554, 0x2a90f4f4, 0xeb7dd4e7, 0xcc745172, 0x45e5cf74, 0xaf133f65, 0x1bbe2f50, 0x879c9f77,
+    0x3c125b2a, 0x1282bf47, 0xcc9c37d8, 0x682a5924, 0x8eb425f1, 0xb562add1, 0xc50e81c7, 0x51a14f7f,
+    0xea80bd77, 0x1011bfbb, 0x4ef2f984, 0x73b1b0d3, 0xbee54067, 0xec06dc93, 0xbe0c0e20, 0x1b97b137,
+    0x58cc6bf6, 0xfe9a06b4, 0x5b9eae54, 0x5a891b4f, 0xa35f352c, 0xe4e2b551, 0x48b9924e, 0x46add69e,
+    0xea294fbf, 0x307f4440, 0x60e506af, 0x39d62924, 0x88e98ed5, 0x217d0918, 0xd7ef73c2, 0x57ebd056,
+    0x320e5999, 0x4d0e473e, 0x8b74245c, 0x4b1154df, 0x4c1d6f13, 0xd8e3498e, 0x77983987, 0xf01c5939,
+    0x72ac59ea, 0x083eb8af, 0x1f7a66b0, 0x537b2c34, 0x84fa1148, 0x9644d327, 0x5225ebd4, 0xfc09a8ed,
+    0x802a8a09, 0x38b081e7, 0x37ec1760, 0xe323a660, 0xe6add95e, 0x18aa0352, 0xe3f7406c, 0x840c0983,
+    0x813b146e, 0xafc3f634, 0xad7de19b, 0x2eaf0535, 0x724e2ec2, 0x5f69b648, 0xa43b54c0, 0xacc2b017,
+    0xbfabdd69, 0x84d44449, 0x6c557fa4, 0x28773256, 0x83ea31b3, 0xdaa7c555, 0xa1470b34, 0xb71568b0,
+    0x8194a986, 0x3ff58968, 0xdf6cf5cf, 0x03204dde, 0x9c0665e6, 0x2f8ec099, 0xd32ecc2c, 0xe0ac0b44,
+    0xc9ec689d, 0xd5e47edf, 0x3ed57bc8, 0xf0aeaa17, 0xd586a7d8, 0xdb9813c8, 0x11320f93, 0xc5ad2133,
+    0xca38422c, 0xc67ff9f3, 0xa336d9aa, 0x43b0935c, 0xd4821423, 0x3baa0a5e, 0x72f97107, 0xdfa83ade,
+    0x34d71f87, 0xb5bc37a1, 0xa437eeeb, 0x4b3be75c, 0x5d9ef89c, 0xcf08c260, 0xb70e1c85, 0x05f188be,
+    0x91266e6e, 0x8c1f3836, 0x9db8b758, 0x1132891a, 0xe410b080, 0x9f6eb042, 0x3ffea62c, 0x369037d8,
+    0x266ccd22, 0xdb507c5b, 0x8bf3be83, 0x7fbab39f, 0x31bc5f3d, 0xe58ad983, 0x8fb67c83, 0x5bb7dcab,
+    0x4d26c943, 0xa8febd2e, 0x1f893a6e, 0x938ae7e1, 0xdee6c5b4, 0x55eb6d2d, 0xe151c9a5, 0xaf8bc1de,
+    0x9f206af6, 0xe4a7761e, 0x458623b9, 0x2142c3b5, 0x16581751, 0x10bd5c73, 0xc3353e4e, 0xbb1e4a7d,
+    0x273d9c68, 0xcac2a3f9, 0x19af4f51, 0xcf05604b, 0xaddfbbd4, 0x521a7577, 0x596e0e63, 0x81276062,
+    0x2552ad11, 0xf405a7a1, 0x5c535006, 0x29b5997f, 0x2339110c, 0x3fc634ea, 0xb80e19b9, 0xaaa8ed2d,
+    0x49549c66, 0x7da4dfdb, 0xb605ef3d, 0xb8486d2a, 0xab488d2f, 0xd2d2af67, 0xbaa1320c, 0x5adbc445,
+    0x0eb8bc48, 0x32e5f40b, 0x0a1a48b8, 0xd80b5139, 0x83796d2b, 0x22f75a80, 0xe02e2468, 0x8369cdb5,
+    0x3403bdfd, 0xd6b2768e, 0x615c7936, 0x46261d7d, 0x73d754b6, 0xaa2e3bbf, 0x70c7cd19, 0xf48d6186,
+    0x39e8670a, 0xd6465001, 0xa0460cf7, 0xc7982e65, 0xb06bb343, 0x79ed0143, 0xc37cc696, 0x5f15b28d,
+    0x49872755, 0x585d52c9, 0x6877c6ac, 0x222ef45e, 0x17c3f1e3, 0x6fed6a48, 0x316bc412, 0x46728603,
+    0xc936fe41, 0xaf1a3f93, 0xc4d38de8, 0x0a863ff8, 0x7f5f505a, 0xddedef1b, 0xaf02c05a, 0x57194cbf,
+    0x6a2f66a6, 0x1676a840, 0x1e5a1899, 0x833a311c, 0x3087dbc5, 0x49b93a25, 0x05563ede, 0x527cced9,
+    0x0f1d463b, 0xdfebdd00, 0x24e05020, 0x11f686d0, 0x00175b0f, 0xb166e5ed, 0x25e9dc3f, 0x208ee727,
+    0x370d9937, 0xbad51bad, 0xb879fa65, 0x39549f38, 0xe94d94db, 0xafbc84ea, 0x561d9d1c, 0x7c94966e,
+    0xcba8cd23, 0x53269d97, 0xb2038068, 0x0da1ef30, 0x64d772c6, 0x6e84c3ee, 0x7320747c, 0x7153bd2c,
+    0x725b58d3, 0xbd6acc28, 0x6e4074a1, 0x26bda2cb, 0xa6c49cec, 0x856a299c, 0x390a31a1, 0x9be54ce6,
+    0x227c0077, 0xca8185c6, 0xa5daea16, 0x8645cdb9, 0x1d0f885c, 0x73740393, 0x635fc8bb, 0x0c76dc40,
+    0x92d4aa43, 0x23f45ac6, 0xe5d02b49, 0x5743e488, 0x384a5fa8, 0x1ea1195f, 0x217c2315, 0x828149e1,
+    0x423855d6, 0x12e7fa2d, 0x0afa0e54, 0xeb6fce96, 0xc8b99941, 0x19578df4, 0xbf07f7dc, 0x6a1e6eae,
+    0x0cb6b868, 0xbe3be404, 0x2322c460, 0x674ddc5a, 0x0b549999, 0x2bd6760f, 0x3f5d9066, 0x6639c048,
+    0x542bbc7a, 0x08553677, 0x2e817d33, 0x7a68baea, 0x95bc9969, 0x3f7635f3, 0x19d4ce25, 0xc33bf601,
+    0xb6aa1c51, 0xaa071168, 0x7b2978de, 0x344ec205, 0x61f87fb9, 0x11753354, 0x28ed95f2, 0xefa31558,
+    0x7233d4c7, 0x253876de, 0xb5d691ae, 0xa0df9cd8, 0xf52bd36d, 0xb6152f16, 0x49050fb6, 0xf413ad5e,
+    0xd76e918b, 0x6a312078, 0xe1d32a00, 0x8e702611, 0xfff31e6a, 0x8b11aa86, 0x8c9bc758, 0x40b31e94,
+    0x36f7caf3, 0xbc03546e, 0xc0926da4, 0xf80f908f, 0x8719e293, 0xcad11367, 0xa965ba26, 0x9e8b4abf,
+    0x9408b49d, 0x2c843b12, 0x2a6b86b2, 0x833673cb, 0x30254074, 0xb66672b2, 0xec6dcfb4, 0xe77428b3,
+    0xca5326d3, 0xb705a38f, 0xbedfb583, 0x06152150, 0xcfdfa9c6, 0x3ed77b40, 0x370689b7, 0xe1024bf6,
+    0x70a7a336, 0x8b42aea3, 0x0e09b6bc, 0xd8b9883d, 0x3117ac59, 0x404045e0, 0xea8992d5, 0x0aaa6961,
+    0xdecb863a, 0x31a0d2e1, 0x1c0f62d9, 0xa3b1b329, 0x64bcf829, 0x5408732f, 0xfbca0d91, 0xd8cfb8f3,
+    0x80390dfe, 0xbb315e9c, 0xfeee253c, 0xd1770f6a, 0x6bc11fa6, 0xed3889dd, 0xf0f8c4d6, 0xa59cd6e7,
+    0x2eacf5cc, 0xdec32908, 0xb63387c0, 0x086faf3b, 0xd4eac42e, 0xa409c216, 0x212d0fde, 0x6fe02618,
+    0x5c758f73, 0x04869a24, 0x16d2d741, 0x76d8187d, 0x00ce2c67, 0xaf062747, 0xdf8a6235, 0xf2cd9d27,
+    0x77c72f05, 0xe72b0a01, 0x6f12dd23, 0xe0662116, 0x9e506702, 0xf4903fbc, 0x01f64647, 0x06279940,
+    0x9ac877e4, 0xdda5237e, 0xbdce6b20, 0x5e8a0e3e, 0xc13f8c69, 0x3aadab57, 0x334ccf0e, 0x0d120b0b,
+    0x2d5f5ef5, 0x0d05a008, 0xfaf581cc, 0xd0ac67e5, 0x9f90f4a0, 0x5b74d569, 0x1704cd15, 0xb64ef9ab,
+    0xc10f1bb7, 0x83acb0f9, 0x64b83500, 0xb1e2cdab, 0x5e3c59d9, 0x0e329cb9, 0x14240c96, 0xd89b9b9c,
+    0x21fef095, 0xecbfd6ef, 0xe3322c39, 0xee963bad, 0xef1b4533, 0x2d8a323f, 0x060f97b8, 0x621d536b,
+    0x6af41f95, 0x605640f9, 0x5085f44e, 0x5254daea, 0x21cd8020, 0x21555481, 0x3d48511e, 0x814f781b,
+    0x0ef5f192, 0x7c097968, 0x83f0eebf, 0xb1e10ae7, 0x30fffbeb, 0x049ce092, 0xa5bab05e, 0xaf7ec1c1,
+    0x00000000,
+    0xf1bd9d69, 0x66cb62af, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000049039857307708443467467104868809893875799651909875269632 */
+  { 0x00000000,
+    0x7f7d9241, 0x4314fe4d, 0x89df3a1e, 0x87ed111d, 0xa4849314, 0x17ce7f72, 0x40bd3b05, 0x47855470,
+    0x08e08c28, 0xf1f7e848, 0xccff7a04, 0x2c715249, 0xaf8aae26, 0xee86a55f, 0x02941f85, 0xcdab2599,
+    0x76bde032, 0xfdc88a76, 0xc6021cbd, 0xe0a25a79, 0x4652fcb9, 0x01acd642, 0x968fd25f, 0xbf4e0dc1,
+    0x5f89b985, 0xab3508bd, 0xd0f1526a, 0xc492e71e, 0xef359550, 0x52c6c277, 0xc7fa2162, 0xaa4809d6,
+    0x3816e46d, 0xe60f309d, 0x2ab5a77d, 0x5a7ccf3c, 0x2feb8837, 0xec65ba2c, 0xfcb03c19, 0x43ecf894,
+    0xb0c374a0, 0xb7767b1d, 0x7235094e, 0xeb032996, 0xb6cff772, 0x82149c3d, 0xcd29ed31, 0xa26069ea,
+    0x5be76bbb, 0xafa68fed, 0xf979defb, 0x8cd087d0, 0x730c60d3, 0x14af25d5, 0x087e7178, 0x04b55a45,
+    0x6e252033, 0x2a6f78f7, 0xd4b30f58, 0x9fff547d, 0xcd8a0b36, 0x8c4fa955, 0x2f3f5f8c, 0x3cd85bfb,
+    0xcd7d1685, 0xfc6a562b, 0xe2acc0ce, 0xedc937c5, 0x7643e606, 0x7df27bfb, 0xa8011e4a, 0xab8ad5b3,
+    0x28f847c7, 0x436c5b71, 0xf4d8b655, 0x724bb8be, 0x8569acda, 0xef91dbfe, 0xb29e0fc7, 0x96393fb4,
+    0x43174829, 0x7888ac5e, 0x6b174547, 0x58b4d908, 0xb3da3b55, 0x739e70e3, 0xc6668581, 0xd8c55dda,
+    0xd61a8523, 0xf6a6d116, 0xfe28d2c5, 0xa44529e9, 0x540bed28, 0xa8df4070, 0x69ad2db8, 0xbcf08796,
+    0xab06f6a4, 0x43b886c2, 0x8340e1c9, 0x5e461064, 0x8674c825, 0x1288f0a2, 0x1e306049, 0x4ffc53c7,
+    0x467205a0, 0x5f8dc1c2, 0x7ac87f4d, 0xc9ed2199, 0xebc5fb20, 0xf77809d2, 0x5cd60b50, 0xb8913180,
+    0x1694e20c, 0x60ec290c, 0xc850a061, 0x06d65386, 0x38153282, 0xc5d31924, 0xfecba47f, 0xcec1a7ad,
+    0x70aa5084, 0x956a7ae5, 0x3428b12c, 0xcbd79025, 0x254537f9, 0x2721ab48, 0xf434617d, 0x051504ad,
+    0xf1e33db5, 0x554d6cfb, 0x2fecee6d, 0xfadb5821, 0x68f6062d, 0x14d8e099, 0xc98d8720, 0x87903b5d,
+    0x5c8b5b35, 0x88e40931, 0x48e42369, 0x7b6c0cc8, 0xcf8abd29, 0x1387d8df, 0xddf972a0, 0xde2396b7,
+    0xe8acdf18, 0xa2f2dad0, 0xaeb4b798, 0x9a9c0cbf, 0xa1b09ed9, 0x4ab741b4, 0xbed23089, 0x561f9b6c,
+    0x21d8b470, 0x032a159e, 0xa3bc3dc1, 0x3d02ed95, 0xe4b86c3b, 0xe1b366aa, 0xa70b3801, 0xfa18ae3d,
+    0x7d315a59, 0x6ac6f113, 0xa270bd24, 0xdc4bedf9, 0x644a5365, 0x2ea41c80, 0x88f256d6, 0x7563f4c7,
+    0xd340d367, 0x081cb1a9, 0x3565fbc9, 0xc88cd415, 0xcc70fa9a, 0x041b6c60, 0xcf2283fe, 0x30ca041c,
+    0x8cdb8d8e, 0x74b7e37f, 0x414bac36, 0x6ef11bb2, 0xceb4692f, 0x22f2de4f, 0x164c0423, 0xb5d5bf06,
+    0x4b01f1bd, 0xc4d71e8f, 0x4c31aff6, 0xcaa32729, 0xc59120cc, 0xc44814de, 0x031411e1, 0xa70c12ed,
+    0x6eebd0a2, 0x07af37a3, 0x11b55b5e, 0x76812162, 0x67124a70, 0x9014fd95, 0x368c8868, 0xcfade78d,
+    0x67fc1908, 0xbf25cba9, 0x4ef23c15, 0xd030d8c0, 0xac87f00f, 0x08292cde, 0x0526fe8e, 0xd4ec34dc,
+    0xd5149c19, 0x48d80344, 0xef4566c5, 0xa4150f75, 0x6090a60a, 0x1e8b24e0, 0x6effacc3, 0x2a2e859d,
+    0x73b0a07d, 0x58fd5721, 0x891a64c4, 0x98c4217b, 0x20b3fd8f, 0x1f837be2, 0xcc7aed4c, 0xbe463806,
+    0xf60c448f, 0x15b9a639, 0xbb52a19f, 0x8f90e402, 0x83a7caf2, 0x85bee85b, 0xce4fce8b, 0x05555640,
+    0xb47d347a, 0xc5409a2b, 0x8bdaf52a, 0x32753635, 0xe174bab6, 0xc39e5c52, 0x0f2ce9d7, 0x3ab1f073,
+    0xab8c1c0a, 0xa2f875dd, 0xa31703cc, 0xe2475f38, 0x1ee089b2, 0xaa76808f, 0x06d27f4b, 0x9b57b978,
+    0x8392e90e, 0xeaa692ce, 0xa07aa8b2, 0x42d1ce4f, 0xf87bf707, 0xe042ac99, 0xc668916d, 0xd8836705,
+    0x46109ad3, 0xdbc3d511, 0x89c65fbd, 0xd25e5715, 0x867556ca, 0xfce41aa2, 0x49c9ac59, 0x3b066c5e,
+    0x95866377, 0x38edf25a, 0xab205dac, 0x2c47dbd8, 0x64991993, 0xc3e330cc, 0x0e0fdb50, 0xcb345968,
+    0xd708bc69, 0x79ca2da1, 0x5924afb5, 0xd77e93cf, 0x420a6f4d, 0xde92edaf, 0xd6aa38ba, 0xdd465e5b,
+    0x337d0f47, 0x1e691a2b, 0x4e1a2634, 0xa4e29e3c, 0xb92622dc, 0xa06c61ad, 0x0887b812, 0xe277a6f0,
+    0x5730d1fa, 0x5b63c218, 0xe6248a0f, 0xf707b622, 0x6995deb4, 0xb59efc78, 0x66d9e420, 0x5f42518a,
+    0x6d9e766d, 0x4a084510, 0xa0618923, 0x0c4962d2, 0xc878a7db, 0x66dd7ad3, 0xe8cae85b, 0x03c9d271,
+    0x6d4bd6f4, 0x0c259dce, 0xdf7efe0a, 0x335f4091, 0xdd7595ab, 0xe953744e, 0xed429af0, 0xadcdb507,
+    0x19955511, 0xda848926, 0xcb0df754, 0xcfe2140f, 0xf1c82d62, 0x861d09b9, 0x355ea2c3, 0x7fbaff11,
+    0x74f245b6, 0x5abba33b, 0x8cefc526, 0x532b440a, 0xe15a1e1c, 0x33029a93, 0xc248b240, 0x5bcad4b1,
+    0xa0047a84, 0x1f51522d, 0xee195ea7, 0xcbe5a944, 0xe9d8bdd5, 0x8dd1850e, 0x685ee80c, 0xb19e3403,
+    0x590d929f, 0xffea7867, 0xcf3bdb74, 0x9c426c9b, 0x4c7ae6d2, 0xe464d5c2, 0xc4a78d82, 0x8c8b6a99,
+    0x7a80af8e, 0x8835d819, 0xb8a754e1, 0xac03848f, 0x1321376e, 0x58826b34, 0xef5746ef, 0x7f6ed457,
+    0x093a552f, 0x9e60c5a5, 0x6ffd4d67, 0x5a83a6d9, 0xc1c2a632, 0x5a7e9a24, 0x7d52c9d0, 0xb00da414,
+    0x12cf99e8, 0xe2e35285, 0x8ee03815, 0x6662793d, 0x93c1834e, 0x40e6fc51, 0x56667186, 0x301ba66d,
+    0xc3c0f692, 0xd01603fb, 0x1a59e216, 0x7ad3f6d5, 0x1166f561, 0x5cf444b7, 0x5bbeefd9, 0x1125ab12,
+    0xc0b80e98, 0xe14118d3, 0x10329e01, 0x92a4e608, 0xf882b11b, 0xbfa729b4, 0xe88c6048, 0x4fdfc098,
+    0x7150e5c1, 0x1c4aaf5c, 0x91e07877, 0xbb84f756, 0x4894a58f, 0xb1b36923, 0x39f1e649, 0xdc5f08db,
+    0x1f68c72b, 0x9b691207, 0xc9c2ec21, 0xa92208cd, 0x78f633f3, 0xe180cdef, 0xef637a61, 0x17ced116,
+    0x87fbaa85, 0x1b98e6cf, 0xac5068b8, 0xc5f1efb2, 0x87132004, 0xac6b6bd6, 0x6dcc0d13, 0x924d6f06,
+    0x9d39e571, 0xf1f1e360, 0x4f5c4167, 0x141df313, 0x57f3d04a, 0x546dd8d4, 0x324284ae, 0xf3f6fab2,
+    0x16a59bb0, 0xc3a5c812, 0x45a9d452, 0x812ca766, 0xfa3456f0, 0x43cfa64c, 0xc83f1f3a, 0xea1d2ec9,
+    0x3e17bdc7, 0x2950cd5b, 0xf71b9444, 0x1bac28b6, 0x8abaa3e7, 0x640ac05d, 0xa0a7cd49, 0x66271ec1,
+    0x566d75ae, 0xd73a5589, 0xb83bc493, 0x1deb71a1, 0x224988c3, 0xf1241f0c, 0x5246e8e7, 0xa0c0fb7f,
+    0x5b957153, 0xb6683f00, 0x63fe42e2, 0x61b9946c, 0x29923c13, 0x820fb254, 0x15616dbe, 0xc3acfefc,
+    0xb29cbe5d, 0x8f418fba, 0x8bec6eb2, 0x38a95cd7, 0x8c6f4751, 0xd883cab9, 0x460a803b, 0x82464c9a,
+    0xf6f403ea, 0x3788227e, 0xba3e2044, 0xcb08d20c, 0x9a60d045, 0x4aaa4497, 0x1aea7ccb, 0xa44409a5,
+    0x08d32f43, 0x4fb02537, 0x1692c7f3, 0xa7f0bfe3, 0x3fe537d4, 0xd2105b6c, 0x1698147b, 0xa1aa2c20,
+    0x32c08d39, 0x18648789, 0x2dd9ffa9, 0xfd1fb936, 0x84c293cd, 0x9760ebdf, 0xb1b065cc, 0x4a25770a,
+    0x230365ca, 0x9e3e72f7, 0xede9714e, 0x076d1e30, 0xa4ee4c1c, 0x2496a53f, 0x79f7674c, 0x5b46e815,
+    0x5c85835d, 0x3329fad2, 0x72676d35, 0x18751d14, 0x3ee28148, 0x426bd84a, 0x2a75612e, 0x4efb93d4,
+    0x2e666013, 0x16300f54, 0x267bdc11, 0x017a3d38, 0xda2f7f2a, 0x880808a1, 0x7ccb65af, 0x7cdbc211,
+    0xe5c29606, 0x4abed295, 0x2cc2f90d, 0x72ac62ff, 0xe4200d04, 0xf4742516, 0x2bba7a26, 0xa5fc0959,
+    0x7ec03d04, 0x256b00fa, 0x9fc51b14, 0x2dff7b06, 0xcb8f9226, 0x4bd05011, 0xbe3a835f, 0x39310848,
+    0xc22d4ecb, 0x239ece2a, 0x6da6ac48, 0x001064f9, 0x9802e009, 0x42e1b862, 0xd9e05826, 0xf5d6802c,
+    0x5cf9f0ae, 0xcea2d143, 0x0200b333, 0x977f07e4, 0xa2582d22, 0x8df32b93, 0x49875e96, 0x811e6ae4,
+    0xc1e5e68c, 0xb341c973, 0x25b92276, 0x5c0ada20, 0x11af17cc, 0x9d2253c7, 0xf2772b8e, 0x5de2d1fa,
+    0x092e8523, 0x4dd261ad, 0x898dbdb6, 0x72d9403c, 0x74c77192, 0x49e6af1d, 0x6c3fd8e6, 0xac6467f1,
+    0x06f7828f, 0x1495e904, 0x9342b9da, 0xf0b96f94, 0x664ff286, 0x907d4e9e, 0x737e60ba, 0x224007a7,
+    0x6120896a, 0x2bf35bf1, 0x8c1e4163, 0xff4c2486, 0x11416b8f, 0x4c223bef, 0x875da264, 0xf54c9200,
+    0x325eb9d9, 0x26e5b50f, 0x819b2e3d, 0x61788fd8, 0x9460b472, 0x4693da3f, 0xa0af6560, 0x7cdfe98d,
+    0xe0b84a04, 0xbacf8432, 0x4073a045, 0x6e96ab35, 0x66b825c3, 0x1b4dc12d, 0xf8e17ba3, 0x0c1bc255,
+    0x90611ce9, 0x6a262fb3, 0x973a3ec6, 0xb6a9aee8, 0x16cc5885, 0x8bea2198, 0x5dedda32, 0xde8e3a9c,
+    0x7fb6af0a, 0xf51eac07, 0xcb15ddbb, 0x4da0065a, 0xb00aa1ec, 0x4e474dba, 0x6d75516e, 0x4787fc57,
+    0xd0a1c8b2, 0x3eb3f8f7, 0x8a49ec70, 0x19c24bcf, 0x3ce8aa61, 0x3778c977, 0x156d2913, 0xb2eb1409,
+    0x34870f78, 0x3c4e8c12, 0x863835c9, 0xfbd47abe, 0x1794ed24, 0xc644c0ba, 0x168fb056, 0x5b4230ae,
+    0x8db84bee, 0x6d1f23ed, 0xaa6077a8, 0xee1e5519, 0xf90124ea, 0xeeeca7bc, 0xf01895fb, 0x4eacdc27,
+    0x2e9b6435, 0x9b18b8d4, 0x5297d500, 0x96a4673b, 0x24bf27da, 0xa7e17c13, 0xa2559692, 0x60e635a0,
+    0x6f43b34d, 0xbd72a122, 0x2d3996a5, 0xc791f5b2, 0x9fa42542, 0x48309f21, 0xb93b30a4, 0xb91cd329,
+    0x16f7ad8a, 0xc3a7f5e4, 0x5fd0bbad, 0x5029eb3a, 0xe4b53f75, 0x5d55b7f3, 0x3e04153e, 0xc5e1deb2,
+    0x60c0c3ac, 0x0e291279, 0x4f786a23, 0xb3ea1250, 0x3823ee9c, 0xdd945ac4, 0xebaff64b, 0x19d1afea,
+    0x32ec0324, 0x3e2c5107, 0x67ee208a, 0xf4878f5b, 0xf7559e97, 0xecca8716, 0x41ccbd68, 0x305c8aa2,
+    0x3c7dd431, 0x31280749, 0xfed10bac, 0x5c18e6d0, 0x69945569, 0xe6032562, 0x4d3ea5bd, 0xb67c3882,
+    0xaf6e198c, 0xb319339a, 0x63a670f6, 0xe764da58, 0xf4d8b51f, 0xba270c07, 0x3ad73fcb, 0xc4d6c583,
+    0xfaf134b8, 0xfb1d7e64, 0x1432ee52, 0x9462973f, 0xade185a5, 0x71f47d4d, 0xa7a64e17, 0xe3fbb5cf,
+    0x9cba337e, 0x4191c8ee, 0x61f80e0c, 0xb08c1d7e, 0x8b911938, 0x9faafa4a, 0x3d499a5a, 0x681a3780,
+    0x652cb49b, 0x90540cf3, 0x7c3a279c, 0x2968af58, 0x61a2a1c3, 0x75edd9ca, 0xcac715df, 0x730c7241,
+    0x774c8ac8, 0xa96be006, 0x8082e7a4, 0x1ac1e448, 0x5dba50a5, 0xee753029, 0x95537e7f, 0x10eeee1f,
+    0x4d72a9f1, 0xa5a2772d, 0x86cb7135, 0x68c19190, 0xab1ca7cb, 0x646952ae, 0xec98c4db, 0x9c4e9438,
+    0xb339118a, 0x4c1839cf, 0x4e8e258b, 0x7f974f1b, 0xbfcac6f8, 0xbe1ca1f1, 0xde3dcba0, 0x1c33a8a4,
+    0x10b33eb9, 0x926337d1, 0x92835ea9, 0x16535a74, 0x9c23cfed, 0x5e9bd28f, 0xc7acd828, 0x6f26e35c,
+    0xf1513fc4, 0x7ca971b0, 0xd8f747c0, 0xfca01493, 0x4689cce5, 0x2a33321b, 0x75602b6c, 0x5632de00,
+    0x5fbb74d6, 0xd309ccb9, 0x6583be21, 0x1df6dd66, 0xc52075ad, 0x357dcfc0, 0xab5c593c, 0xd4f89ac6,
+    0x487a66cf, 0xa4005104, 0x7cbcd299, 0x6707abf4, 0x8bd0444c, 0xfbbfed14, 0xd4cd6f2e, 0x06dd9563,
+    0x153bcd42, 0xe830f1f3, 0xd777ce2a, 0x95ab36eb, 0x5884bbc5, 0x603f79c7, 0x0db1107a, 0x0c9e54ba,
+    0x84f32cec, 0x5ce565bb, 0x1f08fdfe, 0x362c0f28, 0x2e217613, 0x2843f206, 0xdf8d63c6, 0x7e09afd8,
+    0xe1d4e048, 0x310eeb63, 0x02ba82f1, 0x6372c50e, 0xb3d0f784, 0x3528efb1, 0x989f9e7b, 0x8cbf4104,
+    0x2b0dd0d1, 0x02119517, 0xc82d4155, 0xc106c8e7, 0x9ad7b7b7, 0x8514a844, 0x791c73c1, 0xa8b46119,
+    0xf65954cb, 0xda3c604c, 0x7df46382, 0x72a4809a, 0xe957b0bb, 0xfdb1506c, 0x7b91fac4, 0x51a474a3,
+    0x6bd01d96, 0x38e6dc96, 0x27964ebe, 0xeab32e8b, 0x881772f3, 0xfa70e9f2, 0xc6e17958, 0x2e7d6bcb,
+    0xdc3b8883, 0xffa2c956, 0xa9acb838, 0x73069bff, 0xe8cf61da, 0x7c9f7e10, 0x85b57ba4, 0x962590c2,
+    0x7cb74f4b, 0x12d23197, 0xfe618c02, 0xfef5d2d7, 0x47ab3721, 0x253591e7, 0xf0b7cb24, 0xfd80f75c,
+    0xb2b755c5, 0xc3bf1d13, 0xacfb0a9a, 0x595eabe3, 0x5d14edcc, 0x52c73b67, 0xae596038, 0xd71d6882,
+    0x74ee91d7, 0x73ef7d9b, 0xf2207de8, 0xe0d6c3ff, 0xa785f3fd, 0x797f4973, 0xe0bbc4b9, 0xec8c8d2c,
+    0xafb312d9, 0x459eba80, 0x2a2435c2, 0xde312309, 0x1f563b65, 0x7108eed0, 0x951587f9, 0x95832ce9,
+    0xf9448b5d, 0xf4c757e1, 0xd81412ec, 0x56e5df19, 0xc4fd8b67, 0x6eeeab39, 0xff523c31, 0xb491a1a5,
+    0x138f7f00, 0xa9190c2c, 0xf0eaeb54, 0x57ec767c, 0x2733777f, 0xcf574c54, 0x0518beb7, 0xdd1ce341,
+    0x551dc9b1, 0x008ca608, 0xbe59614a, 0x5f85ef31, 0x387c3b62, 0x1a283d4d, 0x8f06d49b, 0x85882408,
+    0x45788eac, 0xd96e88f6, 0x1b703f4b, 0xa58fc151, 0xe24b251f, 0x54dd910b, 0x8e53731e, 0x8e6a4d49,
+    0x7b5e3a78, 0x064aa006, 0x5219559e, 0xb551dd33, 0xe5890d19, 0xbffd4395, 0xf723bbc2, 0xdd92a857,
+    0xc2fa51de, 0xb9445190, 0xf69f6dab, 0xb6329231, 0x6c2b65af, 0x5fd610ae, 0x5231cede, 0x65fbfa4f,
+    0x21e1923c, 0x0b213ace, 0xd4602bf5, 0x468d7b65, 0x4a3410b9, 0xee6559c5, 0x3fd99c23, 0xef702cf7,
+    0x3a4e4935, 0xc1c16045, 0x56d82832, 0xd1bfdb1a, 0xb658028e, 0x8b1a7aa1, 0x915f0709, 0xa111a555,
+    0x265c4763, 0xb0cf8159, 0x605395c6, 0x19c68dfa, 0x85803df1, 0x9f60c52c, 0x9eda4168, 0x3d457734,
+    0x047a1255, 0x0ad27a42, 0xcb61f95f, 0x71e1d845, 0x400f509b, 0xbeed8ee3, 0x813ce12a, 0x426c84dd,
+    0x010d83ed, 0x5eb94f36, 0x70658127, 0x25e3b37c, 0xb56bc10c, 0x4452915f, 0xff12de5c, 0xb827547c,
+    0x6b772f5d, 0x88f6c579, 0xd119eee9, 0x12e5d745, 0x5d2dc90b, 0x7870f29c, 0xc4df74b7, 0xa666d47a,
+    0xf7327839, 0x314bb6bc, 0x23fc155d, 0x870a6a6a, 0xd5c0df10, 0x634e3568, 0x32847299, 0x93669bb2,
+    0xd3fc1748, 0x88b8483a, 0xbc4bd555, 0x21572370, 0x700dc384, 0x2d7ecd68, 0xec595b42, 0x5603e225,
+    0xb248a4ff, 0x53934fb5, 0xd545fb7c, 0x7efb839d, 0xd6e09ca3, 0xcd734336, 0xf2d176ba, 0x13741575,
+    0x894cabe8, 0x0e4cb857, 0x13d3ffeb, 0x2fa87362, 0x5ca1ce01, 0x19335f1f, 0xfee16321, 0x354c8f48,
+    0x41caa866, 0x21a6d1b8, 0x4d161437, 0xe775bb33, 0xb39e07a0, 0x4081fa2f, 0x51e44051, 0x92c31e5c,
+    0x34aaea04, 0x3e91069f, 0xfd8a6fa6, 0x7653717e, 0x3101fed2, 0x4ff70766, 0x94ca2ccc, 0x81a10bb5,
+    0xde8d9220, 0xa44205ac, 0x4144be6b, 0xa769c8dd, 0x93093304, 0x31f4e80c, 0x772e43d7, 0x8bb3c7f8,
+    0x37c981ee, 0xa2c0917c, 0x86f55ce2, 0x70b04f56, 0x88148d51, 0xc4ad9400, 0x5cc2b8a3, 0x95e0bca3,
+    0x00000000,
+    0xf8deceb4, 0x3365b157, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000024519928653854221733733552434404946937899825954937634816 */
+  { 0x00000000,
+    0x5c8804d1, 0x0b8401de, 0xed8cb863, 0xca1e2d04, 0x291c3331, 0x161d69c8, 0x7459c6da, 0xd66d497b,
+    0x20bc096d, 0xbe1363ac, 0xd8d2d854, 0x3afecaef, 0x5ba4c254, 0xaebe984d, 0xcdeb4e47, 0x2302fc8d,
+    0x6e30932b, 0x0e8ade0b, 0xe99176bc, 0x8ea71455, 0x52bb70eb, 0x25599c2d, 0xfbcc2a39, 0x716446e7,
+    0xa74e78b7, 0x16baf64e, 0xf2f321c3, 0xaa159d95, 0x1787d8c6, 0xbec1d2d6, 0xe4fa090b, 0xd01333b1,
+    0x82c54048, 0x78ff98b8, 0xd75d962e, 0xe87bf6f4, 0x4581412b, 0xc446ab52, 0x7567fe45, 0x180d52ac,
+    0x1a1c0c78, 0x9fbdd9fa, 0x6ad274ac, 0xf1cf5b5d, 0x8856e6d7, 0x63ac70df, 0x0bc7623d, 0x0e4f598d,
+    0x57204b0c, 0xc89baf9e, 0xbd0304df, 0x2f510257, 0x963669dc, 0xbc7b935b, 0x5885a074, 0xc948409d,
+    0xb451d845, 0xe7d004ab, 0x81f114c2, 0x9c77d4fc, 0x89e8e534, 0xada2a075, 0x725dfeef, 0x30945e61,
+    0xad1e875b, 0x0b356b2d, 0x16843019, 0x0952a19f, 0xd2b3f0d0, 0x888a9b05, 0x5de39a9b, 0xa075d926,
+    0x9d1c8b17, 0x53afb6e1, 0x7c4f831d, 0xa455a2fa, 0x4053e7bd, 0x22b254da, 0xa3fb43f5, 0x07b7ea57,
+    0x515b2877, 0x6a9e165e, 0xab28d7e8, 0x751fa3c4, 0x88c4c80d, 0x38746464, 0xabf9eb36, 0x50277a82,
+    0x264ff9a1, 0x951d3ee1, 0x2ee47279, 0x5cdb7d4f, 0xd722d7b3, 0x2b1d202e, 0xe5b65bf6, 0xafb61427,
+    0x84c1b6a8, 0xc487b667, 0x4c5aee4f, 0x8d79f603, 0x5fe533ec, 0x72f428c5, 0x5b842cd8, 0x8201b837,
+    0xe8f07ab8, 0x0fa0a41d, 0x94846246, 0xddd91f44, 0xf9cad663, 0x2aa94fdf, 0x6b5e9778, 0xb4142e1e,
+    0x344e69e0, 0x8fcd0121, 0xa0917148, 0x28eb5631, 0xa7567e62, 0x301793b9, 0x02813b1a, 0xd9b07214,
+    0x67ba5c2e, 0xf07b564d, 0x16e16170, 0x444a5714, 0x3abed0ef, 0x24a96639, 0xd178f82f, 0x53e40123,
+    0x85babb28, 0x9bc1891f, 0xff1e3505, 0xa288fcdc, 0x9cf29cfa, 0xed2c31dc, 0x088deef0, 0x1cc4a026,
+    0x9de1947d, 0x255fb1a2, 0x92c75619, 0x1233220c, 0x57ec7563, 0x5cd51e02, 0xddc8196f, 0xf305076e,
+    0x2cbd4cf5, 0x85702942, 0xf2db21ea, 0x1a9fbd79, 0xfb116afe, 0x234c460b, 0x46c7dfde, 0xd3a0f40f,
+    0x99004a82, 0x39d07b1b, 0xd0c9fc4e, 0x13e42f9e, 0xcf885e22, 0x8a15c496, 0x628e7298, 0x0a127472,
+    0x96ca6eb5, 0xfdabfaeb, 0x8f7efabd, 0x2fe24a67, 0xf04523d7, 0x73ff37ee, 0x0e445083, 0x09022e10,
+    0x6e2b22c5, 0x385e1bd0, 0xdc8b2a2a, 0x5e481b69, 0xe0d8accc, 0xfe82ea15, 0x4fd4697e, 0x1b87ac84,
+    0xc0386cfa, 0xad418631, 0x07b80c05, 0x271863fe, 0x9cb5928f, 0x43109723, 0x4e05b7eb, 0x974e38ad,
+    0xd611116a, 0xb871080d, 0xf0fa28d6, 0xd654c4c0, 0xd6449994, 0x27fabcc5, 0xcc4e8219, 0xf9e50f14,
+    0x75393aed, 0xcb11b45b, 0x99c4d9b1, 0x114e7a4b, 0x7f1c0524, 0x74f12484, 0x097430d4, 0x893244ef,
+    0xcab02a54, 0x7123c09a, 0xaf54d243, 0xc261a021, 0xaa427256, 0xaa6c299a, 0x29c23e8e, 0x448786aa,
+    0x3776f975, 0xc185ecb8, 0x87e590ea, 0xeffc88ac, 0xf5ed1c62, 0x771f41d2, 0xd2cbc8d4, 0xed551806,
+    0x354edf3b, 0x4dcc76ee, 0x00570435, 0xaa9025d9, 0x06da83b3, 0xfb922681, 0x8755c1a3, 0x79c28119,
+    0x6d48ae55, 0xbb1418f5, 0xd06e8d92, 0x7bae7c5e, 0x3a7ff58c, 0x9e557686, 0x5c36cdcf, 0x87b7492c,
+    0x59226434, 0x7629f5a1, 0x0e1ce387, 0x92936199, 0xe69814b9, 0xdf137ca5, 0x4ed4154d, 0xabf122d8,
+    0xa1175972, 0x9b2781cd, 0x4332615e, 0x4590ad69, 0x9a2666ad, 0x916ede03, 0x0086030c, 0xd94815d9,
+    0xbf7a428a, 0x4ecfd17d, 0x2cda00b7, 0xfadbb809, 0xbabcfd5f, 0x3db6aed9, 0xa78fb8ef, 0x33967b34,
+    0x38ff31bc, 0xa1500c7d, 0x355b8040, 0xc3597b8e, 0x6fc9396a, 0x1dc0e782, 0x4b3af490, 0x7bb08226,
+    0x0bc9b54d, 0xdec1565f, 0x0b7869db, 0xed9680e1, 0xe0d41a2b, 0xfd60c86d, 0xf2ab8e06, 0x50aa0000,
+    0x02fc595c, 0x0417d7a2, 0x17743c12, 0x36bbe026, 0xf6407776, 0x8fb0dc17, 0x6c29c5f1, 0x427d1096,
+    0xe59163b3, 0xb76df7f0, 0x2517b51f, 0xfd49183d, 0x55d0bbae, 0x8a3e6cfb, 0x6d000ff1, 0x4d6fd66e,
+    0x9b62eb77, 0x6417d7cc, 0xa7c4c09d, 0xda436a1c, 0x056348fd, 0x4f18f4d3, 0x9b9532b9, 0xf135fd68,
+    0xf1eeb382, 0xec0fb5b7, 0xf08848fd, 0xa0735e29, 0x7a72dca6, 0x45de1eb2, 0x40edb0e2, 0x3f9a86c3,
+    0xc0c7df82, 0xd4013168, 0x919a17b6, 0x029de438, 0x400fc1fb, 0x9f5a00fb, 0xe2d6aba9, 0x9a627d80,
+    0xbb105a6e, 0x9ca90536, 0xc0aa8791, 0x11ec687f, 0x06ce5d0c, 0x4fc27927, 0x84e0a3a0, 0xa0e5702c,
+    0x4a01f66f, 0x66b676cd, 0x912a105f, 0xc4c6b045, 0xdaf01046, 0x5f91b52e, 0x17e446ea, 0xcda1c4bf,
+    0x2409b298, 0x19027427, 0x19e941a3, 0xbbf733ef, 0x09dd1825, 0xe7d8283a, 0xd4b38d4b, 0x229d6355,
+    0x9e4c7e31, 0x44708fe2, 0x6fd25882, 0x136d80ad, 0xa5205992, 0x80ce9a57, 0x9b8f9c07, 0x4fa31d8b,
+    0x97e36b07, 0xb8b145c1, 0x5f0478dd, 0xdd5fa11a, 0x672666d5, 0xc963ea3a, 0xb01a9edc, 0xf01c34ff,
+    0xf6b06564, 0x68e8b474, 0x324dc364, 0xf587b225, 0x171436a1, 0x70d49bc2, 0xd67a0c31, 0x918cacba,
+    0x3add622e, 0xd790e1f6, 0x489b8672, 0x969596a7, 0x3ebca8b7, 0x744dc1f6, 0x8269c654, 0x89f0ba6d,
+    0x3d6c5931, 0xa4c97048, 0x0375d326, 0xe62cb272, 0x335ca8b5, 0xb31a423e, 0x632a2df5, 0x63cf0205,
+    0x719b80f6, 0x3849a2cb, 0xa4b7191d, 0xfca101cb, 0xd1f98969, 0x6c4b7d29, 0x31e92665, 0x03d9e172,
+    0x61aafa60, 0xe360a788, 0x430e2968, 0x87fcc22e, 0x8159db62, 0x9f5af2e2, 0x1b62fad8, 0xfe079249,
+    0x7b49c29e, 0x2e4df753, 0x01e8e2b0, 0xb24cc5f9, 0xc1bdd396, 0xad91486e, 0x392a5ee3, 0x0b783ff0,
+    0x87c38f3f, 0x3d48f36e, 0x81ace9d2, 0x18bff3ce, 0x88c876a4, 0xd2ce41b9, 0xc28f2957, 0x81fc9808,
+    0x98363fc9, 0xe11bfe41, 0x0d161ea5, 0x31f1e916, 0x2c8a63fd, 0xbb03a745, 0x745a34f6, 0x63607a23,
+    0x5261b5fd, 0x00edbe64, 0xcde359f4, 0x3ee697a6, 0x4134c27b, 0x09c2ad6e, 0x8c98b8f5, 0xe51e0f1e,
+    0xd4fea8e8, 0x12ed2b91, 0x3cb3dbde, 0xfa92c93e, 0xc3464a71, 0xd6ae2828, 0xe9789417, 0xb6271761,
+    0x868c1262, 0x542eaf1e, 0x674743be, 0x14039d39, 0x79d62be3, 0xc97eda27, 0x96ab2e29, 0xde046a2d,
+    0x6d38e8d9, 0x97660a9d, 0xb460071a, 0x6ff822be, 0x4a5cf5c9, 0x5820080c, 0x34e6cfb5, 0xa73ecd40,
+    0xcab0dfc2, 0x1a6daf05, 0x4c674ada, 0x1ea6fd5b, 0xce03f806, 0x010f564d, 0xb7faeb87, 0xd471a230,
+    0x8a8b68f9, 0x2672e596, 0x9431c2cb, 0x79360fe7, 0x81747bbf, 0xd613f06d, 0x4387c269, 0xb276acc3,
+    0xee0b4029, 0xdc0a1171, 0x02391080, 0x3b54d49a, 0x14eecd68, 0x49a6fd7d, 0x18be154f, 0xf9b83244,
+    0x8e86fd7f, 0x5bb563a1, 0xb419d90b, 0x9e4215e0, 0xb50bb786, 0x44329cac, 0x843c7ad4, 0x39d9e574,
+    0x22b1cbf7, 0x342d0544, 0x8e457160, 0x66ca18bd, 0x359e9797, 0x4e3e0ec8, 0xcebbed0f, 0x1f6b745a,
+    0xff867232, 0xa45ac54b, 0x8689e34e, 0xc03dd2e1, 0x0c5cbe09, 0xf98ea41d, 0xe8236fe4, 0xdbec1b91,
+    0x31c2a9f2, 0x26a15e1d, 0xeb57905c, 0xab7d6ebc, 0x5fd20daa, 0x92438053, 0x4ca81b51, 0x8d780f47,
+    0xd602ff71, 0xf145220c, 0x61d19fbf, 0xdccab96a, 0xa75f5f60, 0x0efbb261, 0x7e58dddb, 0x37300de4,
+    0x8454cfd2, 0x94408c45, 0x21d04343, 0x8e40f0f1, 0xa70ea9a5, 0x8394103e, 0x717fbb31, 0x252ea2c0,
+    0xd83c48d4, 0xeecd7677, 0x7f8825a0, 0xedd350d8, 0x150b4eb1, 0x1728ac98, 0x10f08073, 0x84d4b63e,
+    0x5c453fc8, 0x1768952a, 0x77a92fb0, 0x093568f2, 0xbfd5b9ef, 0x8e31397e, 0x1e4aefb4, 0xc4aca3ee,
+    0x278c751f, 0x5ffaa56a, 0x0b6a689e, 0xa3a93583, 0xc42b6d62, 0x15c02a07, 0xf3037daf, 0x235e7355,
+    0x056ecf49, 0x7202215b, 0x5dc735a6, 0x513f2e67, 0x853a8eda, 0xccc39a44, 0xab5ab552, 0x76d5687f,
+    0x4547b4ce, 0xf9a79628, 0xe80c8e73, 0xca924a7a, 0xb751852b, 0x646116c8, 0x5249c2ba, 0x15ad548a,
+    0xfaf3f6f7, 0x678b4a9f, 0x793f1dcb, 0xf4268f89, 0xdf3f02f2, 0x010fc13e, 0xd1e60743, 0xd22de76f,
+    0xa920f43f, 0x8b043b6d, 0xc5362528, 0xbf5a9768, 0x3fef80f0, 0x5a1ec864, 0xded11c93, 0x5a768533,
+    0x046ae2e6, 0x3eb35e12, 0x15b6e79f, 0x5f6c684c, 0xe0ba4eb3, 0x410d1c23, 0xc723e266, 0x9aefe98b,
+    0x8867d9c1, 0xa710fcf5, 0xa1d29bbd, 0x420864e4, 0xccdb4fd6, 0xb21a8458, 0x0ebc5805, 0x6ebb2037,
+    0x01ead351, 0x9eb0d6ee, 0xb51fa64a, 0x3d817cdb, 0x6e20cf8a, 0xaa1c2b4d, 0x75d13d79, 0x36f2a469,
+    0x6a807874, 0xb3315fdf, 0x9422f3dc, 0x69656bfa, 0x8f1cde12, 0x5fb42229, 0x3f70f061, 0x58abb1f4,
+    0x585a1060, 0xd7399263, 0x825585de, 0x7684e0e9, 0xfa72f3b8, 0x3dc6bf5d, 0x3429eeb0, 0x12897da6,
+    0x2313da8f, 0xa775055a, 0x954592ff, 0xbcf5a5aa, 0x4f23b7a9, 0x7c60e6f8, 0x48eeb310, 0x1c89ada9,
+    0xaf581f75, 0xd4d1a0e2, 0x3a80b72f, 0xc93bd703, 0xd36e894c, 0x7ce81c63, 0xffd135bc, 0xa2cf9352,
+    0x20dd05a7, 0xf0683131, 0x44cb5ed4, 0x60b37529, 0x0c2cd1a6, 0x98552740, 0xf0cf20a2, 0xa1c230fe,
+    0xd194f77b, 0xdb00b8ed, 0x0e265e2a, 0x40cb56ea, 0x264b1b92, 0x4b040a7b, 0x895be84c, 0xc9a31cf6,
+    0xdb7f112c, 0x4804ee26, 0xb543ed4b, 0x0e39b19e, 0x6bb54489, 0x71dfe829, 0x93a9edac, 0x15c61a0d,
+    0x0e58b246, 0x27a744a6, 0x5f616ec0, 0x910c9720, 0x4d1acc1f, 0x7811cfff, 0xca4ae93f, 0x0899180a,
+    0x08a639ef, 0x423622b9, 0x8fd2bacc, 0x02ab3f17, 0x48c378e3, 0x8df7114d, 0xb6ef1e4c, 0xc5258b79,
+    0x70ce108c, 0x97a1686c, 0xb8bb4961, 0xe95999e3, 0x238c2856, 0xa087ea4d, 0xa0d1bba9, 0x89c42a00,
+    0x893918d5, 0x9e09ef16, 0x12fb67c8, 0xf4d861c2, 0x1512c7aa, 0xa0167991, 0x0b4f127f, 0xd6f83797,
+    0x525e976b, 0xa0b97e98, 0x4e998e87, 0xc5d7ca3e, 0xc71ad565, 0xcc129c7e, 0x7d3c36fc, 0xebf4752a,
+    0x50a02b13, 0xd7b4b3cc, 0xb08208a8, 0x30ca098b, 0x278aa0a8, 0xc895cb0a, 0xb03673bc, 0x31ce61cb,
+    0x0d9e3157, 0x086244bd, 0xe3e2d293, 0x2a6ca0a3, 0x0695df54, 0x4b703a09, 0x05827e85, 0xd956a39d,
+    0xa0b0eb15, 0x896da55e, 0x9c0a5057, 0x4eaa46bf, 0xf5f16d3d, 0x26dd2eae, 0x6b2b17a1, 0x0e829fc7,
+    0x39da6ca9, 0x7a360545, 0x53f53131, 0xdf20412c, 0xadd1f85f, 0x7ead416d, 0xd175224f, 0x040d6125,
+    0xf2334500, 0x3025d9af, 0x8dc27454, 0xd3bb9b33, 0x9f55ce3c, 0x877de814, 0x14bbfb63, 0x08a5126d,
+    0x88c80530, 0xa726f3d7, 0x412bc3bc, 0x1185ba82, 0xbb512384, 0xba3e7102, 0xc1af672c, 0x6176bf5f,
+    0xaf3aead2, 0x2ffd6c45, 0x5a6b4c2e, 0x046673d6, 0x65a21e82, 0x0bc94211, 0x24f297b2, 0x26baa1e9,
+    0xe84fd455, 0xf2b78e4f, 0xd19b0c8c, 0x27ee18fd, 0xb0256786, 0xcaa1b859, 0x3df09f6f, 0x91f752ca,
+    0x3e368132, 0xeffbfafa, 0x5c6e937a, 0x4060b3bd, 0xf08ebc58, 0x673c441b, 0xf146983b, 0x6a1a69f5,
+    0x17254343, 0xbca5c0b6, 0x6f8a84d1, 0x3fc4338f, 0x2f18bd01, 0xa72e9305, 0xc91d0d11, 0x3f89eb91,
+    0x54516d2c, 0x625743c7, 0xb15d4cca, 0x1e629010, 0x051c0f63, 0x05f9389f, 0x5b47ce33, 0xc39fe76f,
+    0xcacff86d, 0x484f8025, 0x4e53bcea, 0x3889afed, 0x1b198fc6, 0x073fa298, 0xd0ff74c8, 0xe482a275,
+    0xdb2a3a15, 0xb512b2ff, 0x5f2b639e, 0x656319b3, 0x8255be25, 0x1b0b6b7c, 0x4f9aeceb, 0x7c5b276e,
+    0x235464e4, 0xfbb45ba4, 0x7efce583, 0x6451c0d0, 0xdb67184e, 0x9f7704cb, 0xaf0de08f, 0x4ce7c7e3,
+    0x6e808cdd, 0x873734e9, 0x670aa0b2, 0xdb4118ee, 0x9f39a55b, 0xfc46edcd, 0xd3887926, 0x0f35e29e,
+    0x13a89b22, 0x4f6c2fc1, 0x4407b62c, 0x8ce1cce5, 0x50e9f0ed, 0xd219b70a, 0xdf3bd687, 0xad6373d1,
+    0xe3a7ee46, 0x83a6e2d5, 0xb920ef75, 0x8322bd71, 0xa6f6a63a, 0x7578e7e6, 0xf02111f1, 0x6af2478d,
+    0x2d48c637, 0x1adeba5e, 0xab587332, 0x55b7aa09, 0x6ee02ca2, 0x59c2859c, 0xbe0d6922, 0xf57024e3,
+    0x860a4e39, 0x573e3c53, 0x5f7ecb0c, 0x296f2165, 0x790e0497, 0xa2fdbabb, 0xd72da6ac, 0xb8416be8,
+    0xeffa9cc8, 0x07bc906e, 0x23e45d01, 0xdf73877e, 0x7bce82d0, 0x598754d7, 0x03b067d1, 0x0b5dc62f,
+    0x2e414218, 0x77eee2f9, 0x13ed13f5, 0xce9fbda5, 0xf982c90c, 0xf6a6edcc, 0xe53c02b5, 0xf599f102,
+    0x67b35957, 0x05f90727, 0x7c14128a, 0x2801c876, 0x463477c5, 0x7b737ae9, 0xe07105e0, 0xf6d663b9,
+    0xe806f5a8, 0xa8549bcd, 0x20607c86, 0x14f66902, 0x872d6534, 0x79f734c6, 0x98f98b0a, 0x4d2f2deb,
+    0xfce717ac, 0x3c2622c9, 0xb8e07def, 0x6128ab6f, 0x4dd121b2, 0x01d01e3f, 0x14c9b08d, 0x54c24242,
+    0x1804d958, 0x43da129d, 0x3f60706e, 0x61b72333, 0x407c2875, 0xe608821f, 0xcc4f5069, 0x64b0026b,
+    0xfce12bb1, 0x2205a36d, 0x086d5b73, 0x2dfa3c20, 0xbabb8b25, 0x641efa35, 0x8257aadd, 0x82d8d816,
+    0x3f4e4845, 0xecca85b6, 0x04de2ef4, 0x2ab1e4f7, 0xea951690, 0xf6913169, 0x5cdff128, 0x0bfd34f4,
+    0x946ccad8, 0x14b6777f, 0x9c39f1a6, 0x676044b8, 0x17b89fcf, 0x20a9edb8, 0x1011f423, 0x46448c02,
+    0xdd6a93b5, 0xc1f54651, 0x051fc801, 0x8e9ea87e, 0x6ea44ecd, 0xd21175f5, 0xf624b4e0, 0xbe1df882,
+    0x4ab92feb, 0x53e04415, 0xaf8eca58, 0xebc202ab, 0xb743ff11, 0x0290f7b1, 0x7a7553f9, 0x8081ba79,
+    0x5fe80aea, 0x22e063dd, 0x63a44ec4, 0x1eab5be1, 0xa0654e72, 0x3c71496f, 0xafb1092f, 0xa47309c9,
+    0x5e44e9db, 0x34d4f6fb, 0x6b2a0b4c, 0x8b61adca, 0xec5ca4a1, 0x1f121f3f, 0xd0c16d80, 0x2c68fda5,
+    0xd19d9b6a, 0xf09f1ee0, 0xdb8e88ed, 0xaee86e25, 0x7cec9f29, 0xcc4135dd, 0xa577e7ee, 0x26d245a4,
+    0x9061f757, 0xf9d540e1, 0x8dee5672, 0xaf57fee8, 0x08371681, 0x9f5a3456, 0xd489604c, 0x5a0c423e,
+    0xe8b060f8, 0x70af74e3, 0x76577ae0, 0xf21810d9, 0x5b510ea7, 0xdb2979e2, 0xbddf721a, 0x10a21e7b,
+    0x217306ea, 0x58c70a03, 0x0717da1e, 0xef873226, 0x0a46d44e, 0xe1b11ac3, 0x1eacbb23, 0x404171f8,
+    0xe8e60181, 0x235d849e, 0x3a05da03, 0xb9951412, 0x89e02180, 0xdbfd0ceb, 0xdaed229b, 0x3f99f99a,
+    0xf8c543f8, 0x63c3ba12, 0xebb8c746, 0xe25fe876, 0xa159f7c8, 0x7ce740c9, 0x35128269, 0x4a33343c,
+    0x8f33a371, 0xa04f36f2, 0xcd426b80, 0xcd577c17, 0x74f8d55c, 0x2bd644d9, 0xafdfedc8, 0xc3e11ff1,
+    0x00000000,
+    0xfc6f6759, 0x99b2d8ab, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000012259964326927110866866776217202473468949912977468817408 */
+  { 0x00000000,
+    0xa02d5b76, 0x2f8279b0, 0xdf0d3243, 0xa55ce28e, 0x7b6b5e96, 0xe5390943, 0x01fceddd, 0x11501127,
+    0xa6ff09d7, 0x94ced9ce, 0x7c25b8b4, 0x81578eb3, 0x05ae955a, 0x75262ecc, 0x0f28540e, 0xd82f7d4a,
+    0xefc8ce6c, 0xc1a5985c, 0x06c9775b, 0x21f2dc30, 0xdfffa154, 0xea0b1626, 0x4e0e8e9a, 0x4081504f,
+    0x5f82d967, 0xebe9523c, 0xe3590458, 0xcc18992f, 0x0cf161b6, 0x21ad9c2c, 0xb34f3352, 0x6824efdd,
+    0xe3e0ca20, 0x11a192e3, 0xdcd401e1, 0x197169e0, 0x8ef16128, 0x1730e1f5, 0x33c849cb, 0xaf0962bb,
+    0xeb7267fa, 0xe8612200, 0xdcc9f10f, 0x800954fa, 0x47c815ad, 0x951eb385, 0x7eef599d, 0xd2162f79,
+    0x18c30dce, 0x8d8eff56, 0xd6869efe, 0x01404b72, 0xf5bc2add, 0x6cfb9262, 0xd6bde289, 0xf3b65f7f,
+    0x09bed15f, 0x768025d1, 0xae39ddaa, 0x86a35ef6, 0x6f9487c3, 0x177bc380, 0xa8252a56, 0x119efd23,
+    0x4dba51a7, 0x970cfcb5, 0x1109d2fc, 0x240b5aed, 0xfe4c812d, 0x2a47cb4b, 0xf1731515, 0x1ad013e8,
+    0x6fb9804d, 0x46cb77f9, 0xbe9d5275, 0xbf009c81, 0xb61cc272, 0x12bf3dd7, 0xc745e63b, 0xf6666c74,
+    0xa2eece0b, 0xfcdefe72, 0x60d6f05a, 0xf26d3652, 0x97dec154, 0x75ea84aa, 0x2c7fb9f6, 0xfd005062,
+    0x01941fa5, 0xa8c6563d, 0x9134aee4, 0x4380abf4, 0x1873a261, 0xcf30912f, 0x9f4edc94, 0x836e5ef7,
+    0xc368d24b, 0x1397aafb, 0xd43dcbae, 0x6125d37e, 0xdca02180, 0x890fd9e9, 0xe70050e3, 0x10494272,
+    0x649842b9, 0x70a51c00, 0x334318e3, 0x0f459e68, 0x86e06bb2, 0xfc47a925, 0xe8e93c60, 0xc8e1d13f,
+    0xfe0f8ee6, 0xf86f9f21, 0x5d216153, 0xf41c0b79, 0x24003227, 0x6e4932be, 0xf24779a2, 0x765f0111,
+    0xb1419706, 0xbcf10ded, 0x5de23b64, 0xbf075a22, 0x09a597a3, 0x8e137b54, 0x88ef444f, 0x4381c1b8,
+    0xbcf899b6, 0x501882fe, 0x2f3ff56a, 0x27902ac2, 0xad5ff027, 0xf4e587f7, 0x26b436a0, 0x763ce2a5,
+    0xeedf20a1, 0x584ecc97, 0x7e6d0be2, 0x753352f3, 0xefecc474, 0x4da20d7a, 0x1f9710eb, 0x861e910c,
+    0x4e1d997b, 0x60e68ab8, 0x8be8203c, 0xed4460f2, 0x385c28e4, 0xde722ca6, 0x5729a20f, 0x5705f864,
+    0xd8b5cbc8, 0xf2bddb6f, 0xdf833608, 0xe5404106, 0x61453d3c, 0x6992f10a, 0x8d181393, 0x15db884d,
+    0x891eafa7, 0xfc6d8b75, 0x87f1fd46, 0x01f98d72, 0x53ced321, 0x72d452fd, 0x9dcfdd43, 0x7f58da42,
+    0x682ed36d, 0xd7d1e1a9, 0x5e23f5e3, 0x0f35b25b, 0x76662728, 0x32589397, 0x63ab70c7, 0xf6173346,
+    0x319afb56, 0x93d37077, 0x812d97bd, 0x0efa5f55, 0x6a6a76bb, 0x01a215b1, 0x779d1438, 0x5660fac2,
+    0xdb265b9d, 0x50098c15, 0x5eef15bd, 0xf7100a7e, 0x9a426f9a, 0x994fe99c, 0x07b5cb99, 0x2fc71b6e,
+    0xcef260cc, 0x284c6015, 0x17be8486, 0x03092f8a, 0x543a6160, 0xcc9bf038, 0x385cb889, 0xbf18790f,
+    0x303e4703, 0x728d48a6, 0x703a0f65, 0xf12c14a9, 0xb7964865, 0xb6725d73, 0x026f3d1b, 0xe0156e61,
+    0x7f6b3a7b, 0x8183ab6a, 0xadea1c69, 0xe5006809, 0xaf3c5f03, 0xa3ebbf36, 0xf1b1d9aa, 0x217917cb,
+    0x1a4d3f4f, 0x9d1b0bac, 0xab4ce301, 0x035553e9, 0x4835ac5f, 0x129c4c4e, 0xe8da6397, 0xd4bce54f,
+    0xb32d27cc, 0xda57e92e, 0x23885bb0, 0x68e644ad, 0xc157aba4, 0x1f28b011, 0x3c1395c8, 0x22e6a032,
+    0x4dffda71, 0x18d014e7, 0xd7c9aa95, 0xf526d784, 0xae9f23b9, 0x03a4eb1e, 0x4ddbeed6, 0xa56db144,
+    0x71a415b9, 0xb6628ff8, 0x449caebd, 0x0b2bcccd, 0xb98cb894, 0xaa2553eb, 0x9bc20d52, 0xbf96aa8a,
+    0x33ebeb5d, 0x185d7ca3, 0x9d2804d5, 0x051a760e, 0x78e3df3d, 0x0c2f14a1, 0x635e9dc8, 0x6125c9ed,
+    0x47ffd953, 0x1cd093ce, 0x953a47d9, 0x6258593f, 0x714772b1, 0xb0e29d59, 0x740ef190, 0xf33572f3,
+    0xdf25757e, 0x2806350c, 0xfbcd7167, 0x29a79c90, 0x2007215f, 0x041ee8ec, 0x9a465e23, 0x18749f00,
+    0xd3109c1e, 0xabe00543, 0x2ca0dd50, 0x60fc4b00, 0x453b990f, 0xe884906f, 0x504f6cef, 0xa716317a,
+    0xe8081116, 0x2d7c36b1, 0xb6e29bbc, 0x1eca84fc, 0xdb4054ca, 0x2de5f3a0, 0x99d7a910, 0xa483e4c7,
+    0xe9db97a0, 0x48f04b2c, 0xd2db0652, 0xe74c00c3, 0x54d48e89, 0x0e02f711, 0x9d190bd7, 0x0faf5cd0,
+    0x9784bb0c, 0x32bacb30, 0x7117c5f4, 0xd6dcda20, 0xc3fd714d, 0xf9bedeca, 0x6147cf3d, 0x54c102a5,
+    0x9f2eaa05, 0xfa86ad9e, 0x0e4fc11a, 0xaeb93dee, 0x4f2c57fa, 0xb56522f2, 0x91c69528, 0x4c919427,
+    0x02d01fe6, 0x336b226f, 0xda25aa97, 0x46364c77, 0xd083c9fa, 0xc1376e19, 0x0afbbf45, 0xa2140019,
+    0x96f7b247, 0x9aba7c05, 0x17199fe4, 0x6870da4e, 0xad195923, 0xbc7b52b3, 0xea228cfa, 0xd82a3c2d,
+    0x779ded51, 0xd275717c, 0x6bab017b, 0xfe1dac52, 0x60c5a8b8, 0x369ecba4, 0x30a4c2ef, 0x22b09aa6,
+    0x517ffef4, 0xbe76c08b, 0xf69a47ec, 0xe64ba5fa, 0x2a223a55, 0xedce8219, 0xe8da452e, 0x9871f699,
+    0xbf5b9d71, 0x92b89e92, 0x81ac285f, 0x4f241de5, 0x011232b9, 0x18fc56c5, 0x4a3eb14c, 0x5e291209,
+    0xf9633d4e, 0x7cff9839, 0x73619877, 0x34019c0b, 0xf85ad486, 0x6504cd18, 0xb7f134b4, 0x3093a6be,
+    0xb9d195ac, 0x18e880cc, 0x63e49dbe, 0x0dc0442d, 0xe724a8eb, 0xdba8b4ea, 0x768fb53f, 0x0a49a9b2,
+    0xfe28ed9e, 0x245e8736, 0xaf133aa9, 0x92c45e0b, 0xdc65a378, 0xea07813b, 0xb987ed32, 0x96353e0b,
+    0xc9bbc1f6, 0x9de767ae, 0x3b24313c, 0xf241d028, 0xf809eb8a, 0x611d3b68, 0x43da319e, 0x33fd48da,
+    0x060f6cf0, 0xc5c8bf78, 0x34da0840, 0x6ad826b3, 0xe2868192, 0xb3f1f3a1, 0x916591e5, 0x6aa9dc78,
+    0xd335cb92, 0x10e66196, 0x3af5d88c, 0x5d02b91d, 0x36d3ec77, 0x16f15996, 0x0a1575dd, 0xfb309fb6,
+    0xc0cadd92, 0x96d273e1, 0x21e39eb9, 0xf08c92db, 0x36edab41, 0x12ea942b, 0xd203abba, 0xf9030122,
+    0x3c4975a0, 0x96c126e4, 0x4179e150, 0x6045f7d1, 0xacca49d0, 0x960900bc, 0xd9c96a20, 0x7fc96f54,
+    0xf2591590, 0x5f2cf635, 0x58fd4164, 0xeb37863b, 0x7594026c, 0x13937116, 0x1f4cb202, 0x2461c4d9,
+    0xd1636c4f, 0x996b5f75, 0xc22df982, 0xc8b854fe, 0xb5e47b9f, 0xa516b70c, 0x722a0fea, 0x13bfba24,
+    0xf94cad6b, 0x08674732, 0xe98e24b9, 0x0dc4e5e4, 0x94e7700a, 0xacab6898, 0x96fe7711, 0x49567ba5,
+    0x2ef5417a, 0x1575ee63, 0xb5e52c39, 0x310a602e, 0xd99685d0, 0x72bc4b0a, 0xdf92f02f, 0xff87e60d,
+    0x34bc88f5, 0xd7bb0e3e, 0x3a519e73, 0xc0ab86bc, 0xf7d952f2, 0xbbc7c711, 0xbd6d493d, 0xda4baa1e,
+    0xeb044978, 0x686f11da, 0xede217c4, 0x70125c12, 0x2b4956c7, 0xd1d50d51, 0x422a1f23, 0x0d3dcba0,
+    0xa1d40a9d, 0xeeccbbd5, 0x5a7261b0, 0x5c1ce725, 0xac4f04cd, 0xd7d2ed2f, 0x692aa5b3, 0x2b1041a5,
+    0xfeca12e8, 0x257c5035, 0x36b72003, 0xd6b49f25, 0x9190c444, 0x2895f4f8, 0x234762e7, 0x92bf8adf,
+    0x0fa8f5f1, 0x9fc6d5a8, 0xdff48270, 0xdd08432f, 0x8d09a823, 0xff771b90, 0xef862650, 0x34373594,
+    0x65a44e3f, 0x1cec454a, 0xa53cb4ef, 0xca62aef7, 0xc61ddc2e, 0xefd252cc, 0x54511127, 0xed664f6b,
+    0x3bf64651, 0xf0561be3, 0x588b373e, 0x0a0679bd, 0xf2580964, 0xfb8f008e, 0x7d93b046, 0x0507ac04,
+    0x8b0c28e6, 0x31af5a41, 0xad52c986, 0x7e1679d5, 0x56e464ea, 0x2f082acf, 0x870e5f50, 0x2a860a2f,
+    0x6b8375ba, 0x117a472f, 0x4a08a8ec, 0x990a3313, 0xa192370e, 0xd446a6eb, 0x3d92be3c, 0x9234cfe8,
+    0x94b39978, 0xcf77bab4, 0x1a7349ee, 0x4067a55f, 0xdc4dd739, 0x8482ab85, 0x54977f5a, 0xe4dec8ab,
+    0xccc03fdf, 0xed50d228, 0x5fbd9102, 0x540d42d0, 0x44e150aa, 0x371e4f1c, 0x27d98f7a, 0x32149420,
+    0x359acee1, 0x1be5848c, 0xcf662aea, 0x2db79b47, 0xfbacd9bb, 0xcafca1cd, 0x0ed315ba, 0x01260da0,
+    0xff91070f, 0x789acec7, 0xa2408867, 0xcad8e4ea, 0x55365d29, 0x42512f2a, 0xbd7dc623, 0xf30d6427,
+    0xa28f1406, 0x671f1543, 0xdc17a128, 0x8998a962, 0xe4e18dcb, 0x6177db0e, 0x1b0a5782, 0x97c57e18,
+    0x0bec6852, 0xec23162b, 0x5d7ebb41, 0xaad91a38, 0x52f5a1cd, 0x74a0d810, 0x0e8ec8f0, 0x416f8604,
+    0x224c029a, 0x84aee015, 0x5e1a2743, 0x61dc7f5c, 0xe3d20210, 0xd32b961b, 0x0b329a53, 0x943ec413,
+    0x23b1f5f1, 0x7624935f, 0x683f37f4, 0xa9f69deb, 0xe3b0e3fb, 0xf2f9bd73, 0x3fb7657c, 0x9ddcfa2e,
+    0x46a4ca07, 0x85e3b03e, 0xb5545db8, 0x29a1bcfc, 0x073d11bf, 0xda15a307, 0x5e3d1df1, 0xeabe649b,
+    0xc7850eb0, 0x80a4748e, 0xb05d6ee5, 0xeb24bc1c, 0x1aa7f630, 0xab7b6fd6, 0xef837877, 0x6e4907bf,
+    0x42cb88bc, 0xa49107a5, 0xa9844de9, 0x7a45febb, 0x376d0ea8, 0x7789f8d3, 0x9147023b, 0x53b5ee9d,
+    0xa9b1a7bd, 0xec622027, 0xdcc6a4b3, 0x58d98659, 0xce415923, 0x0382feba, 0x8df9dac3, 0x8786aa43,
+    0xffa6ce1c, 0xfe7d384a, 0x7c4f640b, 0x327bcb4d, 0x08075549, 0x0ab44e37, 0xdfe3e49d, 0x09ff7e5e,
+    0x72f410c8, 0xae802013, 0x941ed87e, 0x0bb079e8, 0x64438887, 0xcee4fb20, 0x59f7167b, 0x13a089e7,
+    0x3e83bc3f, 0x38fc74b6, 0xaf14eee2, 0xb56e6089, 0x5e503f93, 0xf9ebaaa8, 0xb1552977, 0xf6f0310a,
+    0x8c1af80c, 0x8b7ab7e7, 0x0c477682, 0xc830416f, 0x17d6224d, 0x83d6026a, 0x5a9eb0fd, 0xc51fc7dc,
+    0xaf95d914, 0xbff95e65, 0xbccedc76, 0x9a64e46e, 0x262dfc7c, 0x4ed27ab7, 0xbb1d9625, 0xf8c65ff1,
+    0xc829401b, 0x91c099da, 0xb5a3f7d7, 0x1953cdc2, 0xa4b1e2e4, 0x0750f617, 0xc0df3e02, 0x5753a783,
+    0xa2808984, 0x8c882caf, 0x06c98b5b, 0x920724ab, 0x078f7395, 0x769eaa9b, 0xe57837cb, 0xd6feb7c1,
+    0xb6562f01, 0x8728c033, 0x690f051a, 0x16e6508e, 0xf88e129a, 0x5ba30947, 0x7b9d420e, 0x27320e11,
+    0x1d264b0f, 0x4dc055a5, 0xa722083c, 0x1dc7802b, 0x79de33c7, 0x30ed4174, 0x9cecdd86, 0x6261645a,
+    0xd62b4556, 0x5310d232, 0x1387dd10, 0x2dae70cf, 0x3b3f5048, 0xab4175a7, 0xe913cea8, 0x00884174,
+    0xb17932c1, 0xf561ad28, 0xef8e0856, 0xb71ab0f3, 0x14f983e9, 0x7064d12e, 0xe246343f, 0xf7ee6d55,
+    0x742a2679, 0x7b5506eb, 0x31ed1107, 0x71cf59d5, 0xf632dd16, 0xc2bae0c7, 0x3cffcadb, 0xe3c404c4,
+    0x82734454, 0x445cab78, 0x01e40533, 0x380b2539, 0xcb9cb884, 0x4fc84b64, 0xec71c4ff, 0x62eb8246,
+    0xe6d218f6, 0x4df4cbf4, 0xa1670581, 0x43d3c311, 0xb04b51c6, 0xa3a9f9ec, 0x8961a89d, 0x1cfeca22,
+    0xb5eed422, 0x7b5d85e4, 0xd6515df0, 0xb6aff96b, 0x3bdaf827, 0xee59137d, 0x6dd7065f, 0x2e82cae6,
+    0xc449aa31, 0x73dc24bc, 0xbc29a315, 0x12d62811, 0x60a71f0c, 0x3b694a76, 0x3c870590, 0xca04fa45,
+    0x4f1f69f9, 0x0233a39a, 0xbbe77ab8, 0xe1769ed4, 0xeccb9709, 0xc8b914aa, 0x61071521, 0x136d833b,
+    0xa2c7869e, 0x0ad1305c, 0xe6deef3d, 0x0daac5e6, 0xf77fd60d, 0x27ea08e5, 0xd237a438, 0xf68c9ee8,
+    0xf3b13f8f, 0x0076b4e0, 0xca8c15a6, 0x5ce5ec06, 0x929d8fb1, 0x9f6f8ebf, 0xc8d45a5f, 0x78b90422,
+    0xc181beb7, 0x0d4486d6, 0x153f94a1, 0x93afe17a, 0xdaf38e5f, 0x84ea4000, 0xe96cba49, 0x220aa950,
+    0x6f7d5037, 0x8fcec950, 0xd0d96d16, 0x5ae19185, 0x45d06876, 0x0819c920, 0x29b88cbe, 0x91816b5d,
+    0x36769405, 0x02be4394, 0xa290b5a1, 0x2d423aed, 0x74493969, 0xd58e3db6, 0x01811f32, 0x99f2399f,
+    0x24d8718d, 0x6d067377, 0x9230b9c0, 0x55b0911c, 0xf435feb8, 0xbb3f7e6c, 0x0b232b21, 0xde477e56,
+    0x2e763763, 0x4ceb72d8, 0xd0f083e3, 0x6ebb7bdb, 0x933c9250, 0x0175ded3, 0x625912ac, 0x7c9fa90b,
+    0x94da3c77, 0xaf6994a5, 0xcb45d4b8, 0x4af373fd, 0x7f602d50, 0xcbc68868, 0x0680c266, 0x427b0612,
+    0xe39b008f, 0xc410a845, 0x5810fa66, 0xcae5791f, 0x17086114, 0x9aaefe79, 0xd4e04240, 0x0868ac68,
+    0x63387ebd, 0x628be09e, 0xefac3312, 0xb501cbbd, 0xb2cc9d5b, 0xbadc6702, 0xe81f7b4c, 0xf2186eaa,
+    0xeef910c3, 0x1fd4f117, 0x3ba21f77, 0xf2bc9ba4, 0x2a7482bc, 0xc03ccccf, 0x35605aa0, 0xf27f4b3e,
+    0x6db54a3e, 0xa3a0dcc6, 0x369c5ec8, 0xf1ccbabe, 0x3ad08053, 0xeee49d6e, 0xd9624b1e, 0xe0dca256,
+    0xec2ed0ad, 0x47bf3c5a, 0x2ab04cd4, 0xffbb440a, 0x976db4c5, 0xb8302f39, 0xfabf6bf1, 0x6136e9e4,
+    0x041bc9be, 0xff4d6fde, 0x219db255, 0x86aba646, 0xa021cf21, 0xcd2369bf, 0x71489a73, 0x3c85c090,
+    0x4d1eafe4, 0xfb53ada8, 0x4e0ca85b, 0x4108f519, 0x355bf886, 0x08591fa5, 0x2525e045, 0x1122bda2,
+    0xdd2011d7, 0x50b93145, 0x1d846164, 0x0a36cc53, 0xa488e4fe, 0x18a3d516, 0x6fcf31e5, 0x7780f9f4,
+    0x38948ef2, 0x7aa7573c, 0xe57f0055, 0xe55252bc, 0x782b8396, 0x5f6ebbd6, 0xa97d9dc0, 0x2c297bb7,
+    0x1cad488b, 0x83efd393, 0x58178de3, 0xa22ad570, 0x6a93f12f, 0x0cf3f4fa, 0xb79db602, 0x2925a370,
+    0xd3083473, 0x97cddcf6, 0x3dcdaa5a, 0xbd090c43, 0x4e790f6b, 0x2a306913, 0x5097e80c, 0x70cf752a,
+    0xd7147ddd, 0x6959356e, 0x170c1fc8, 0x38f81cfb, 0xbd150994, 0xe8107af0, 0xb8114b93, 0x1db0e07f,
+    0xce1adf48, 0xefbadf55, 0x8925cb1e, 0x0d144530, 0xf40a953a, 0x3f3e1892, 0xf9b5c665, 0xee8576f4,
+    0xb65c119b, 0x1101744c, 0x4ef3f3d3, 0x8f786775, 0x016b8d4a, 0x5f2a908c, 0x2d0c2257, 0x6bca2c1e,
+    0x8a8c4af9, 0x7033ea8c, 0xe67a4b2e, 0x7766072d, 0x42259070, 0xc0412319, 0x1bb25216, 0x2623b74b,
+    0x28ee710b, 0x11914b4b, 0xcca027cb, 0xa40f59c0, 0x6145e03d, 0xbde4f52c, 0x838d2d6c, 0x22c94cef,
+    0xd2adc80b, 0x3feba326, 0x5ab55cfa, 0x48ad99c3, 0xb65b1116, 0x3b14c8ac, 0x7689fa60, 0x233d250c,
+    0x0942751e, 0x74e0ef45, 0x5b95feeb, 0x59e853e6, 0x15954b2c, 0x13e5fae2, 0x51deccfe, 0xe41fa002,
+    0xe9fa4a97, 0x4ab3a20d, 0x59be1ad7, 0xea60ac2d, 0x63f97fa2, 0xe97df032, 0xd95564dd, 0xd3346d1e,
+    0x0bc1ce88, 0x015ba437, 0xb62246e3, 0x3c31c25d, 0x840d1310, 0xe65d53ed, 0xee893db7, 0x911a2f03,
+    0xf4b2b5aa, 0x8780cf39, 0xa2f9bd8a, 0xc645233a, 0xc40bf717, 0x8d42322a, 0xe8d88ae5, 0xdeef8e43,
+    0x664ca877, 0x3db44304, 0x9a4dd16c, 0x12b7edeb, 0xba9d06ea, 0x83c477d0, 0xf50bc61d, 0x4bc42c78,
+    0x5d1b86c0, 0x399ee1f9, 0x08d713bd, 0xf375b7c7, 0x39ab89d9, 0x0a302cca, 0x45a9389f, 0x4ac21a44,
+    0x03d11edb, 0x55ae21b9, 0xffed1876, 0xe78e5a04, 0x889c38f4, 0x54c37487, 0x1f3fff28, 0x9e57da97,
+    0x00000000,
+    0xfe37b3ac, 0x4cd96c55, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000006129982163463555433433388108601236734474956488734408704 */
+  { 0x00000000,
+    0x1e7f28f5, 0x167514a0, 0x9dd8113d, 0xb9ff39c9, 0xdef2b083, 0x68fe1860, 0x8008c80c, 0x7e731be3,
+    0xa8061282, 0x68e0cc2b, 0x7553521f, 0x0953dcf7, 0x2a40c182, 0x0dfef59d, 0xd186d5e8, 0xa6fd5ffb,
+    0x14fed048, 0x8370c2bf, 0xb499d776, 0x5f893db1, 0x61cff68e, 0xfd237913, 0xa861c489, 0xda48e901,
+    0x592f8cfd, 0xedc892a4, 0xbfa909ad, 0x6977a6f1, 0x1bd0e6db, 0xc03fd78f, 0xfa9ca50f, 0xdfa3d34c,
+    0x19142691, 0x51ab80a3, 0x131a3260, 0x11529779, 0x4e3a75be, 0xeef1f450, 0x57211888, 0x112f9459,
+    0xaa0be354, 0x80ccf205, 0x8f5e7e47, 0x6a4871dc, 0xf6c383b1, 0x3aa34b99, 0xa54fb9e2, 0x8688c25c,
+    0xc708ed53, 0x0349cffb, 0x372abf67, 0x1633f26a, 0x29f695d2, 0xdd6b8ad5, 0xc45ecdca, 0x13ea3c51,
+    0x9996eede, 0xddff408a, 0xf9ffc6ed, 0x34e31618, 0x663a156b, 0x06cd3547, 0x2fd2b15e, 0x239baf93,
+    0x308298ca, 0x264ca273, 0xb6371ec6, 0xc410abed, 0xc12f8eee, 0x0c85700c, 0xa6036d63, 0xf37b4855,
+    0xeb896855, 0xf697d15a, 0x294d6640, 0x637a1704, 0x9d2a83c2, 0x1731f8aa, 0xfef489f5, 0x7c67822c,
+    0x15aa2a60, 0x16e2a0c6, 0x53c90f11, 0x038d883c, 0x0c4b08f8, 0xec45716f, 0x935c1915, 0x55dc0888,
+    0x9a9a3357, 0xaa179101, 0xde6bdec7, 0x710d93b6, 0xdfb0a223, 0xa2d02e26, 0xa6277354, 0xc2aaca59,
+    0xb994ee25, 0x0fff1081, 0x0f6efacc, 0x0c8dee8d, 0xba382c96, 0x41cf5158, 0x1da9149f, 0x16bc336d,
+    0x648ca74d, 0x00028e6e, 0xb64c5dc4, 0xdf315f9d, 0xc9b6c2c6, 0x90a28a64, 0x0c1ebe20, 0x49a57113,
+    0x9dfa2e1b, 0x039b03a6, 0x6656d5ab, 0xc16e9e1e, 0xbb462621, 0x0ea84fbf, 0xffd4ce6b, 0x9350f1a0,
+    0x63f4f78f, 0x5dc10abf, 0x02445696, 0x4a5e0f1f, 0x9398a0ea, 0xff9ade62, 0xa61ca007, 0xa7e6faf3,
+    0x3b1d8380, 0xd265131b, 0x6be33eed, 0x2d857a1c, 0xb5380200, 0x2a3a36c3, 0x2c176cba, 0xddb12b3c,
+    0x3f0c4539, 0xaf98d283, 0x7f325cf3, 0xe08d0c68, 0x0d163e4d, 0x57b52549, 0x011cd2c3, 0xbf046841,
+    0x91179644, 0x7bc46e1b, 0x4a56b589, 0x07850d1e, 0x18ca1df8, 0xca557c2e, 0x8a4edbac, 0xc5606706,
+    0xf5333610, 0x7c6aa916, 0x30c2b53d, 0x3c9f2673, 0xe328a3e6, 0x942f63c0, 0x1ff5577c, 0x75153b4c,
+    0x8064fa02, 0x1143dd50, 0xef8e5654, 0x393642ca, 0x4976db74, 0xf9299615, 0xe8509da4, 0x35a1fbbd,
+    0xaa42a3d9, 0x16c67693, 0x8f653925, 0x6c4ed311, 0x1d60b476, 0x6e3d2715, 0xc273ccfb, 0x51015df0,
+    0xc4702cc2, 0x1cfdb85c, 0xb7518c6d, 0x4ae97326, 0x0f914c3b, 0xa106bd54, 0xfadb26a5, 0x1f39652a,
+    0x9f826860, 0x1a49caaf, 0xc32a1af7, 0x4035c195, 0xd975449f, 0x1c902554, 0xce4c47e9, 0x74cc4328,
+    0x78d2d6b6, 0x0a3f0954, 0xd5d8ed67, 0x995ccbc2, 0x0fad6ab2, 0xe0f326fc, 0x85bd8d51, 0xe113ba2c,
+    0x82636ab0, 0xa2f829d2, 0x2359596d, 0x5e557e84, 0x7df1dd26, 0xf3961830, 0xde6123ca, 0x9fee9270,
+    0xc9ce2743, 0x9f4da7c0, 0x7063048a, 0x98242bac, 0x1a1e5113, 0x4d991840, 0x3d15c0ec, 0x3c4dbe7e,
+    0x66d46732, 0x1215c3d8, 0xdc4b44f3, 0xeb37bac6, 0x8920cdbe, 0xdc8cc28f, 0x733be6fb, 0xc56ed014,
+    0x7a11fb2e, 0xbe919d66, 0x13af9616, 0x063b6b37, 0x2ef3081f, 0x4d3269fa, 0x18a43d53, 0xf0366564,
+    0x9f74ae08, 0xf5a4934c, 0x23875a90, 0xa6371a96, 0x3892a8a6, 0x9e0d6ee0, 0x712acdbe, 0x5e9d4d2c,
+    0x6f683101, 0xdff4683d, 0x87030538, 0xc9c2b22b, 0xbf3cffc2, 0x867605ac, 0x469d5c51, 0x92ff3240,
+    0xc9b193a2, 0xd7e99f77, 0x84c28ea0, 0x2a53ddca, 0xc4f8b70f, 0x7b459e26, 0xb40e4beb, 0x2d52a814,
+    0x67ac3d41, 0x618774b4, 0xfab98b08, 0x01de39fb, 0xe12c8bd3, 0x68032959, 0xff07dc74, 0xd68da1f0,
+    0x6ccf2150, 0xe57b1d41, 0xf64f0a49, 0x216665a2, 0x763c099f, 0x46f9c2d2, 0x31938e8a, 0x6a578ec7,
+    0x0630deb4, 0x9b2d7cf8, 0xf954949b, 0xfe78d59d, 0xc1cbcfb7, 0xa35a9782, 0xe1ce7e34, 0x0c3b624d,
+    0x1304f21c, 0xa8494ac6, 0xc61131d8, 0x8182787a, 0x38b0d830, 0x2721b318, 0x75d1bc62, 0x7a54601c,
+    0xd1a12440, 0x540213bc, 0x4f1c606a, 0x37eae702, 0x31151484, 0x10e34a7f, 0xb9ff3dc3, 0xe7ed29b0,
+    0x5a6f6536, 0xf646c255, 0x449f6b74, 0x0d3414bc, 0xccb2b3e9, 0xf62ffb0d, 0x1bddd25c, 0x92c272a2,
+    0x5327a41c, 0x4c583555, 0x1db5d0a4, 0x48209662, 0x820e8bab, 0xdf692010, 0x7d90a0af, 0x873062c6,
+    0xb0cdf647, 0x24879071, 0xe87db2d0, 0x41a2c0ff, 0xa369b5e7, 0x0685c458, 0x3109932a, 0x3bffeffa,
+    0x35ee73b0, 0x135786de, 0xd72d584c, 0x9a397118, 0x304a92a7, 0x740ece9e, 0xf0e4956f, 0x07ad4915,
+    0x6d5b9ea6, 0x46bac9c1, 0xe9c74e58, 0xad527f42, 0xb7841535, 0xc5f3e725, 0x8345bbe9, 0x6efc6913,
+    0xaa4a56f2, 0x8a8abbcc, 0x5e3b27bb, 0x1cb746f1, 0x0b2291c3, 0x27fe3776, 0x9483ad68, 0xd0fc153a,
+    0x40d8edbc, 0x8ece0217, 0xea3125ec, 0x93df4d38, 0x4194d22c, 0xc2b92597, 0x1d9c2f59, 0x9c3bbe71,
+    0x03c78fd2, 0x18bad3df, 0xbb39747d, 0xd3ca512d, 0xeeac3929, 0x211a2f80, 0x5d5374a0, 0x8a129cdc,
+    0x17968975, 0xe90a88b4, 0xa9e6dc3a, 0x410c2523, 0xb673b835, 0x18fd9981, 0x8a291c1a, 0x530c240e,
+    0xd1dd06b3, 0xe201ff2d, 0xe621517a, 0x42bae84e, 0xc0c7f9c5, 0x0f001426, 0x61d5affb, 0xd4badf35,
+    0xa393688c, 0x76938b3e, 0x20ad808f, 0xe9550681, 0x4cc77c4a, 0x2887d6f7, 0xe2bebf73, 0xaf97da34,
+    0x18881bad, 0xa323ceb1, 0x4acef2a2, 0x1c69c4e9, 0x65fecc36, 0xb3daf811, 0x56e80ba4, 0x643434dd,
+    0x6e438b6e, 0x03570bfa, 0xdace655b, 0x9131aa51, 0xead7e103, 0x66d378df, 0xecba926a, 0x81da91d1,
+    0x368e3a0e, 0xb40134af, 0xf7e68a26, 0xe5356dbf, 0xd2e3f12c, 0x737708b2, 0xb74de5a4, 0x6d22c8b6,
+    0xb15a48b4, 0x7f7e73c7, 0x179dddcf, 0x6c8cd9fb, 0xa9d81407, 0xb148894b, 0x5fe253df, 0x38e89788,
+    0xec8a5ade, 0x4ce776c3, 0x35551259, 0xcf5e3bbe, 0xed4316b5, 0x865c7c6a, 0x3e390f1d, 0xd8dd726f,
+    0x271e98cc, 0x8eb05837, 0x5ceb5730, 0x5dfbbde9, 0x633786cd, 0x7e2e1c14, 0xf4a5296e, 0x3e5efe79,
+    0xcee0ffd2, 0xcfe2e34e, 0xdb11da29, 0x87cc1278, 0x4d2d1196, 0xadf944a4, 0xe93be331, 0xd3a16ddf,
+    0x03582587, 0x977aabba, 0xda5805fb, 0x4b7cfb16, 0x8337c205, 0x53ef0b06, 0xd6184177, 0x3a4c2d6b,
+    0x54e657b6, 0x7a092ce1, 0x62049601, 0xdd282e7d, 0xead3f3bf, 0x91e765a2, 0x187b7b78, 0x2e9dfc20,
+    0x4bed69dd, 0x3d129fdf, 0x97831633, 0xf27c8361, 0xffb94b4e, 0x9b431389, 0x05558a5f, 0x28732bbf,
+    0x56c7fe92, 0x30974654, 0x1bec9b6a, 0x52853257, 0x0e2d193a, 0x555b34f3, 0xf9a01fb5, 0xf6a843e0,
+    0xfe746880, 0x688b30e5, 0x3a69433f, 0x77c7f5c4, 0x97b08596, 0x1ad4e506, 0xb5c50b94, 0x37abcac9,
+    0xe5cc0bbd, 0x2975b343, 0x5566bc43, 0x763969de, 0xe0bf9be5, 0x1e2bf146, 0xaaf6046c, 0xf3d53bdb,
+    0x3fa25097, 0x535166e4, 0x5814ca8c, 0xc9af9ad9, 0xf6a4b69e, 0x298db9ed, 0x874bc402, 0xce5613d0,
+    0x9e43dfb1, 0x4f853852, 0xfeeb6ded, 0x44115de3, 0xab60a714, 0x69982222, 0x81af7933, 0xb7a2191c,
+    0x17d26e59, 0x0098df46, 0x05c66a35, 0x386ec27a, 0xcb617d26, 0x1f04ed32, 0x803dc9bc, 0x98d2fd13,
+    0x4b2859d3, 0xa9a27f74, 0x4319d88c, 0x8e8c28e7, 0xb14883fe, 0x1e221e64, 0x50e2bb36, 0x1a24a98c,
+    0xbc0088e0, 0x74d0d2f5, 0xb164d3e0, 0xfcff3e14, 0xe7ce8b15, 0x789996c0, 0x016982c5, 0x10960a22,
+    0xdfb4cc32, 0x4cdc5cc4, 0x688e7743, 0x306716dd, 0x3450b333, 0x23567dd0, 0xf91a985c, 0x8846b42d,
+    0xe561ba82, 0x24b5bce8, 0xf56b16f0, 0x21b13856, 0x95285e26, 0x0a849294, 0x7418c520, 0x14b4cf6c,
+    0x715e5771, 0xb27817a9, 0x8665d21b, 0x3ac8674b, 0x4deaba07, 0x31eeadab, 0x777a050e, 0xf42870b0,
+    0xc58215cf, 0xfe164b2c, 0x47d7b709, 0xae2a000b, 0x253d6935, 0xe35e457d, 0xc82869fa, 0xb98f663b,
+    0x74faf886, 0x19b561e6, 0x8cfdc68e, 0x32f06c34, 0xa0623965, 0x1df663ac, 0x27aa346e, 0x58135830,
+    0xd6725389, 0x6ad6695f, 0x389cd06b, 0x6cf4bf0c, 0x3cbc877b, 0x8fb6010f, 0xff311232, 0x759ec0f0,
+    0x245a4198, 0xe7f04622, 0xf4a08f2c, 0x2f7f4154, 0x9c97cf27, 0x61506806, 0x993b2d77, 0x54b5f17a,
+    0x50ecd8ee, 0x67ae0c0a, 0x8cd604d5, 0xf147083d, 0xcefb025e, 0x38ab78dd, 0x0838cd27, 0x35dc5b3b,
+    0x133ad345, 0xd1cc3e84, 0x58cddd99, 0xcbd8db78, 0xc4c9c69b, 0xaa567fe7, 0x5baa9e43, 0x8661c590,
+    0x29c782df, 0x895858cc, 0xdc077aec, 0xaf738e9d, 0xb56f25b9, 0x45b47f6b, 0x2dde22fc, 0x54572508,
+    0x3c889e89, 0x9f2ce253, 0x9f571d28, 0xc55c654c, 0xcdbbca07, 0xc5b4c859, 0x048221ce, 0xf3b0e376,
+    0xb7982a64, 0x1ea6a00d, 0xa2f699b4, 0x256f0086, 0x4dc9d44b, 0xdf71b12d, 0x9162b4eb, 0x229411f2,
+    0x5ae6dbe7, 0x11759ceb, 0xa3e7df43, 0xcc8853c0, 0x83bce79b, 0xe95727a0, 0x5afaab90, 0x847a4eb1,
+    0x730c5e4d, 0x1a447e9e, 0x9b153e3b, 0xc59dfe1b, 0xbf2d854b, 0xad3b64fa, 0xf1c7d73f, 0x7c58a60f,
+    0x03c10313, 0x3ba8a01b, 0x05eae016, 0x0fe4d2be, 0x4777fdf9, 0xe48e80d9, 0xcf3bf3ba, 0x8d1d3c5d,
+    0x1b1e8301, 0x9a98aa81, 0x4ccc6284, 0x6bb90beb, 0x2b88f829, 0x114bc0fe, 0xec9d0abf, 0xed7a8b95,
+    0x3e903337, 0x2d23657e, 0x5a549f7e, 0x36c167a7, 0xa3317697, 0x6ae9006e, 0x7d36a4ff, 0xc5358e12,
+    0xfd29afb1, 0x6a2c6685, 0xc548f407, 0x9dc3e357, 0xba3d86ec, 0x7b343dd4, 0x9fab94ce, 0x1da84ab6,
+    0x79785486, 0xb201526d, 0x0e993c3e, 0xc146bda8, 0x67689488, 0x563dd435, 0xbd779630, 0xa5b61710,
+    0x0cb7838c, 0x5eddd9ad, 0x9daad765, 0x01fb446c, 0x2323bf74, 0xc67119f6, 0xad6fa447, 0xb6c9b987,
+    0x91fe1fef, 0x0ba153ff, 0x13b0887b, 0x8caf80fe, 0x26f9240c, 0x4247cf9c, 0x3e659b0d, 0xf3dd4cf3,
+    0xe1ad57b1, 0xe6e70681, 0x9e9a4ef9, 0xb7b81960, 0x08cc6e0d, 0x89852061, 0x5190008c, 0xe861825b,
+    0x9c10a79a, 0x8568e5a2, 0xc047c1a5, 0xe988ab83, 0xb7f85121, 0x97bcaf74, 0x48037ae1, 0xa309b603,
+    0x52481bf8, 0x762384eb, 0xf8945356, 0xaf07ffe7, 0x4493c6dc, 0x386c282d, 0x6b0cb2b8, 0xbffcb347,
+    0xeaa8a243, 0xbadf6837, 0xb4440cff, 0x8084a3b7, 0x4bb50545, 0x75f3d9bc, 0x27a1bced, 0x18f0505f,
+    0x39a48819, 0xb5749468, 0xa367d320, 0xa18fc2e6, 0x69520b06, 0xa03694e2, 0x78682325, 0x54beaab5,
+    0xf78723f8, 0x257ac39f, 0xa4682271, 0xdfc6aeac, 0xd3255393, 0xa3f998ff, 0x540855be, 0xcb42eb43,
+    0xbdcd0fae, 0xac567980, 0x2239023e, 0x5c1c9448, 0xa62e2c07, 0x414a1d20, 0x7175a6fa, 0x1293418a,
+    0xb9e78e08, 0x205abdb4, 0x1867d3e6, 0xc537cf1b, 0xdf9b7378, 0x1287caad, 0x79bf106c, 0xdd7bdb04,
+    0x083ab6b9, 0x541066ff, 0x957dd983, 0x1746c5da, 0x6244f39a, 0x31a8e13c, 0xecec40b0, 0xd3eb4a4b,
+    0xea7262ef, 0xfbf5f274, 0xf4654f00, 0x0e1ba35a, 0xdc4278b3, 0x6066e1e8, 0x1a902d6d, 0x2c56603a,
+    0x13ead2f1, 0xdc773854, 0x0a610918, 0x123ae8a0, 0xc9a8fcb9, 0x1d05c7cf, 0x6d87e494, 0xe7e4ea39,
+    0x2df509b6, 0xe92728ba, 0xbb3b2711, 0xb00c7970, 0x62343f67, 0xfccc8745, 0xb27eef30, 0xd7c823dc,
+    0x94a2564b, 0xdddd6a39, 0xf9a0c1ba, 0x6bba6d90, 0x2969bc1f, 0x05ddd68c, 0x64dd66c2, 0x2e0d0649,
+    0x900a177e, 0x3a949719, 0xd5908c12, 0x5c184191, 0x1a768080, 0x2bd04a7f, 0x6528dc54, 0xcf7f78b5,
+    0x62c7d5fe, 0xf88cf91d, 0x49bd8eb0, 0xd39ac439, 0xb69f24d3, 0x3a25a5d7, 0x09a3f30d, 0x5b12aba5,
+    0x3b6e47e0, 0x7d7a695a, 0xa831e509, 0x7adc173a, 0xede4f16b, 0x8737710d, 0xc2b34db5, 0x97c8b3c0,
+    0xd0cdb8c6, 0x196534dc, 0x377f9c96, 0x9f9fc056, 0x7eefec29, 0x1b6e85ad, 0xff814514, 0x21757040,
+    0xdda27e69, 0xec80cefc, 0x040a6c87, 0x2e246bc8, 0xdbb33473, 0x5479e2f1, 0xc58ee7e8, 0x37c8a372,
+    0x9d6967e4, 0x5e64ab29, 0x84fa96a2, 0xe179cbc4, 0x62bdd817, 0xa9208fac, 0x526caad2, 0xfec579e3,
+    0x3ec92999, 0x4229bce4, 0x4131c47c, 0x52bf249e, 0xf7d5a2db, 0x7cbfaa77, 0xbf2d4e20, 0xb13aba03,
+    0xbf1b1e90, 0x3bf33b2b, 0x2f4fadb2, 0xdb1b6b1b, 0x76dde456, 0x2dbf07be, 0x87394b4f, 0x38998fbc,
+    0x442f08b9, 0x29f9cea0, 0x14564707, 0x20e3b212, 0xcff64f2a, 0xa0d58a82, 0xc62e09f1, 0x2e9b3b14,
+    0xf2ca3c51, 0x829dcdf3, 0x1010f2f6, 0x33d142e5, 0x4e63e029, 0x905ed595, 0x993627d6, 0xd41d09df,
+    0xb9f75127, 0xef7e13a9, 0x35fab239, 0x93b240f3, 0x527b81af, 0x7887ec3a, 0x8daf6943, 0x48f2ee81,
+    0xf0368f21, 0x46636982, 0xf7ba09df, 0x76410e5d, 0x59ebd180, 0x4419e409, 0x708ae289, 0x54ad1f72,
+    0x0f0337b4, 0x8e96784c, 0x0364808e, 0xac13d1ba, 0xb30b2e87, 0xa60c4389, 0x6a20a407, 0xbd690bb5,
+    0xc0ec39d1, 0xc6d134a3, 0x01c3f9ea, 0x84c8af52, 0x2b228142, 0x5c95bef7, 0x3238cba0, 0x87088891,
+    0x2be87032, 0x3f44f8e6, 0xd8d2960b, 0xe2eb4455, 0xa34ab0c0, 0x7a0c2e08, 0x7656a25e, 0xae6dd2db,
+    0xfd9add06, 0x1d495e4e, 0xbd3192f6, 0x3fdad2a2, 0xe7af2ea3, 0x6a7e6344, 0xef4cbce2, 0x33a65270,
+    0x7f35fed4, 0x55b539c0, 0x3623722c, 0xf0d88072, 0xc1f31e87, 0x0af3c986, 0x0a0899db, 0x0d5cd31e,
+    0xdfab04a0, 0x1354210e, 0xf287ad0d, 0xcadf8871, 0x5f45f094, 0x40ef30e8, 0xc97ae118, 0x667c8e0a,
+    0xab10c76c, 0x7c4d7758, 0xbd26b7d9, 0x19ba117b, 0x602cc7c0, 0xc371185f, 0xf3956f65, 0x9253a4a3,
+    0x0b9d7326, 0xc4f7bace, 0xefc705bc, 0x6a254163, 0x304d43d4, 0xe506436f, 0x333eff12, 0xacb6c95e,
+    0xb9540a5e, 0xf04ced25, 0xf91af7db, 0x855e306d, 0x4dc11589, 0xdffbf071, 0xaaa9b6ab, 0x78c18a50,
+    0xf706b08b, 0xf71390bc, 0x149f4587, 0x04fb095a, 0x331d92ce, 0xdb3cb386, 0x4a8bfee6, 0x2798873a,
+    0x62739da9, 0x1affe553, 0xc408d56d, 0x27a0af1b, 0xf984c545, 0x0d22790e, 0xe9b6024c, 0xfac8dff0,
+    0x1a6ebc39, 0xdca8d128, 0xab9c6959, 0x8df4207a, 0xcb21438b, 0x3047f995, 0x45bafba4, 0xdbd3c334,
+    0x47cb6ac3, 0xca5bfcb7, 0x7d5b1518, 0xab55ed9e, 0xbb381edd, 0x1736db8e, 0x29373756, 0x757a5079,
+    0x5c7be68c, 0x15484b5f, 0x4af5a505, 0xb7b68a1a, 0x9761b4a1, 0x654e96a2, 0x60998408, 0xc955ce38,
+    0x00000000,
+    0xff1bd9d5, 0xa66cb62a, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000003064991081731777716716694054300618367237478244367204352 */
+  { 0x00000000,
+    0x47af48ab, 0x55ef5729, 0xb682414c, 0xf58cae7b, 0x1b966f7e, 0x66ed7853, 0xbc067e08, 0x761b4eec,
+    0x843d01fb, 0x79a7023d, 0x7793a797, 0xf07eadee, 0x331e05ae, 0x4ab73bf4, 0xadeee11e, 0xe07d5352,
+    0xe78f91b2, 0x421ba217, 0x3d1ac96d, 0x8d59b40a, 0xcb09f849, 0x6aa053df, 0x151e6bd0, 0xcb28828d,
+    0xbf16a52f, 0xf48b6152, 0xfdf4a89d, 0xd4b93762, 0x4a0e6538, 0x8c9925bb, 0x5d5bd319, 0x0cb5f300,
+    0x6eb366fa, 0x8bfab21a, 0xbd602663, 0x537bd041, 0x619b233f, 0xb2ec57da, 0x13ed92c9, 0x61fe0615,
+    0x38b8b3f2, 0xa5ec22da, 0xc188ae8c, 0xdb5051e8, 0xac05c495, 0x52f9d594, 0x4b49d916, 0x370881dc,
+    0x8cf894f7, 0x90de59c7, 0xb39ac4c5, 0x3c14766d, 0x610d2ab0, 0x2de5bd0e, 0x8487fc53, 0x8e1bc024,
+    0x86240ea0, 0x288bf9ba, 0x5f812c35, 0xeb7a83f3, 0x9c546f33, 0xcfc73fd2, 0xce1fd663, 0x5d7bf1d4,
+    0x1692ebca, 0x6961a266, 0xddf75fe4, 0xc2e56cd9, 0x68cde134, 0x6813c51c, 0xff5ff608, 0xf9ec3a95,
+    0xfb4dec51, 0x4d8e8293, 0x5a09de5e, 0x98ccb497, 0xff6e2d50, 0xacb5eda7, 0x8d7fd025, 0x1d69d35e,
+    0x5be73a8f, 0x2a313e53, 0x3e361fb3, 0xeb275faf, 0xdc3d5c35, 0xd3ad0433, 0x3e1de672, 0xd9dc1a8e,
+    0x8b83ddaa, 0xa72b128c, 0x87e6b308, 0x1ba02102, 0x28e2d505, 0x00b2074f, 0x6cec3ee6, 0x897466a7,
+    0xb230e03e, 0x2fc73c6c, 0x009c9a36, 0x99ad2792, 0xa36ff356, 0x731b6b81, 0x8f0db16d, 0x3afa113b,
+    0xd48fbab9, 0xeaca788d, 0x0fa7d444, 0xa0154857, 0x5b7013fd, 0x1969e59f, 0xf3c8a5ad, 0x4b62a368,
+    0x22cacf6d, 0xd9716ff3, 0x0b7a4591, 0x63874211, 0xfd6700a9, 0x85037af1, 0x3f3be395, 0x73101500,
+    0xc87ecda7, 0x88b12119, 0xc0cfbf33, 0x0d7afee0, 0x5b87dc55, 0xea0d32ea, 0xb35edd5c, 0x60ab5cb2,
+    0x5e90913f, 0xa8b80433, 0xd1774767, 0x1d01a1a0, 0xa127b315, 0x2a771348, 0x14a561d3, 0x5ea837b3,
+    0x48d5960e, 0x507ace20, 0xcb8f209b, 0x37e2201d, 0x4cd949d5, 0x694a27c0, 0xa8878818, 0x27180244,
+    0x81eb1f34, 0x42f2a2a8, 0x8d6042a0, 0xab740296, 0xbf7004d3, 0x2bd01891, 0xa530cf97, 0xec030baf,
+    0x0c8dcd41, 0xc973d642, 0x759640b5, 0xe31f7a05, 0x90192d8e, 0x911edef2, 0x51c215c1, 0x483cf75e,
+    0xb483a2f4, 0xd135548f, 0x4595f1f6, 0x66afc688, 0x5028e424, 0x1cf73a09, 0x08e87e42, 0xd9be4600,
+    0x3bc8db76, 0xc8ec3b3f, 0x111e5486, 0x7bfc8a76, 0x190d19ec, 0x9208d65a, 0xfab3b34c, 0xc5f7a962,
+    0xdaacac81, 0xb5f77bfa, 0x6a68337e, 0x7d3ff7e7, 0xb0790a95, 0x29b959aa, 0x0e087954, 0x41c98004,
+    0x9c198e1b, 0xeb7b0163, 0x9d68218e, 0xbbf5496c, 0x26f23f97, 0x2605b97b, 0xd49f1c2a, 0xaaa71af9,
+    0xcabdbb80, 0x14f37865, 0x4d323757, 0x7079694b, 0xefa8baee, 0x0fd6635e, 0x1e2f7618, 0xc030b483,
+    0xff9cf61e, 0xd8dd770b, 0xf6e7d0d1, 0x411baeb0, 0x4e532ae7, 0x98432d2c, 0x439d55c8, 0xe44f6c61,
+    0xb088304b, 0x59539a4b, 0xba97c0c6, 0xd050843c, 0x26eb2a6c, 0x9dc3b534, 0x117580d9, 0x4a68ce66,
+    0xa808dada, 0x962d7ed3, 0xa83aa0d6, 0xb8261339, 0xdf667381, 0x85b8dd18, 0xbfb68dd4, 0xfbfe01d2,
+    0x4708880e, 0x60a817c0, 0x4e90deca, 0x2bbf934c, 0x75e1819c, 0x7c494590, 0x442682c9, 0x4d7e773b,
+    0x9394cc3a, 0xd506f8f1, 0xa3db45e6, 0xd7ea5145, 0x4b337132, 0xb017bcb9, 0x92bf4b1d, 0xff28df8c,
+    0x7bd51388, 0xafc3cca2, 0x5d412e87, 0x0699f7bb, 0x607ad8ff, 0x546b1867, 0xabe50448, 0x11272340,
+    0xc082fac2, 0x2997957b, 0xec637444, 0xafb3bde3, 0xb5f46c45, 0x79d4ab8e, 0xfac207fc, 0x29256cda,
+    0x385764dc, 0xfb824b06, 0x33277af0, 0x6f2bd11b, 0x0889a145, 0x761ee191, 0x809c7eb6, 0xa8611564,
+    0x73b2e1f6, 0x143ba48e, 0xbf7dc739, 0x4ce788c9, 0x3759fb43, 0x71243acd, 0x2e457eb9, 0x940263fa,
+    0x72efd36a, 0x86fe8f66, 0x063b8fd1, 0x0dfcd309, 0xd8ed2a30, 0x86f52540, 0x0756b769, 0xf034b5d4,
+    0xfc20e582, 0x2774b555, 0x8ebb9058, 0x306b46f4, 0x3e73b11f, 0x16a2a70a, 0x67956bea, 0xb0878ba3,
+    0x3bdf71ec, 0xd22fb72b, 0xa868f19d, 0x9d03de41, 0xc6fc0f42, 0x6f1b72f9, 0x5572bf0c, 0x339d801a,
+    0x66a34c00, 0xddd17148, 0x4907e90b, 0x9712ba0a, 0x6c24ec74, 0x383225b9, 0xd65f7fbb, 0xc3d39be4,
+    0x980b42a6, 0xabdb4715, 0xbf6a2f1f, 0xd15ac323, 0x0341417e, 0x256c18db, 0x295c7cbe, 0x7c5c45e3,
+    0x175abe67, 0x40b09b9c, 0x0c90969c, 0x65988328, 0x1f3b79cf, 0xc1df91b9, 0xd175e538, 0xd7d9f1f3,
+    0x8a6f1d10, 0x270acc8d, 0x32b9c572, 0x7dcfadea, 0xff5a471e, 0x55777022, 0x03135ad9, 0x69ae114b,
+    0x4a069bf3, 0xa6b06b68, 0xbf61ec25, 0x594a867f, 0x91c226d7, 0x7b702d1b, 0xae10e77f, 0xa2bd64bc,
+    0x18433389, 0x79294a7d, 0x7143a60d, 0xc8d95398, 0x96f2f26d, 0x5d07f027, 0xdaa22849, 0x66db5f18,
+    0xee2ac5e7, 0xd2314b4c, 0x35e997e0, 0xf1656fd9, 0xcf9adfcc, 0x878951e5, 0x961e0d11, 0x9974bc3e,
+    0x3bb92cca, 0xffac2b4e, 0x0f88e8cb, 0x8e6f4940, 0xb7a4461a, 0xf5f1dd78, 0x9424557f, 0x4d02dd18,
+    0xd6d5439c, 0xcdfcf958, 0x5d3b29f3, 0x9b2f8681, 0x09962731, 0xcf16168c, 0xb1c032d4, 0x033ee773,
+    0x1d31d9c4, 0x2457c3e6, 0x7bec875f, 0x5cbaea1c, 0xb4282eca, 0x273345bc, 0x6cf03eba, 0x9e35d6ee,
+    0xe8de0ee1, 0xa0bee56f, 0xc234b909, 0x223003b2, 0x58af0d8d, 0x4da84752, 0xaab5e511, 0xf6fb361e,
+    0x8c8b9e58, 0x22dd1a04, 0xd41686bb, 0xbba38fe5, 0x4b07ed76, 0x98856374, 0x22e74eef, 0x7e8e8cc1,
+    0x95e559ba, 0x7e3bef8e, 0xe07dfa0a, 0x1e3dc8fc, 0x82fe065e, 0xbe1158b4, 0x28d7ea5c, 0x078ac4f8,
+    0x77e13426, 0x74db4584, 0x8d0002fc, 0xcc06f0b6, 0xee69419d, 0x5c0d6a2b, 0x35ae7245, 0x5b834f27,
+    0xe7dfaff9, 0x0d45efbb, 0xb4b37b58, 0x41610f77, 0x16698720, 0x35eab752, 0x18854661, 0x6c00a19f,
+    0x57b122e7, 0xc6d90c9e, 0x0eccec68, 0x6428d638, 0x28a38fa5, 0x1058340e, 0xd1726941, 0xd7a2c9ec,
+    0x1bd85c70, 0x857b345d, 0x214b9c94, 0x934b6d29, 0xb4298886, 0x82719d68, 0x958d1087, 0x8730c310,
+    0x25a5b341, 0xda2dd139, 0x95717bb8, 0x83f980b0, 0x5f3ed905, 0x91c87086, 0x544906a0, 0x69da677a,
+    0x0fa1f8ca, 0x73c2246d, 0x11b4c8be, 0x97b110d9, 0x27a99986, 0x9d09462e, 0x552edec4, 0x28941128,
+    0x3818aafa, 0x2562cef7, 0xfb6f2c63, 0xa45364ec, 0x106696db, 0x1b7da744, 0x9ad3d182, 0x95d73be2,
+    0xd6b8a535, 0x0cd454c8, 0x649526a9, 0x7c03d122, 0xfaa6ee28, 0xda8fb29b, 0x928fdf45, 0xf0228089,
+    0xa8e16887, 0x9aa95843, 0xc7381a35, 0xebcd894c, 0x934cb143, 0xc49e6ced, 0x5c05e0dc, 0xe9477e5f,
+    0x9441655a, 0xce85b923, 0x2bbd8335, 0x2b71e616, 0x74d73ed1, 0x864d90bb, 0xbef7a3be, 0x4a34e9f9,
+    0x0923e5cf, 0x63f37b2e, 0x25e66f19, 0xca14797b, 0x4b87d9ed, 0xc478554f, 0xc24f6f90, 0xc25e5bba,
+    0x0f5a470f, 0x15dde29e, 0x8d11b265, 0x82b0ac3b, 0xdcd476df, 0xc2a858bc, 0x7fbb4aae, 0xd6951026,
+    0x8b972a0a, 0xeb4c8d5a, 0xf61f96ae, 0xf55f7ac5, 0x0843b6cf, 0xdb8b502c, 0x5c821ce9, 0x74cf972e,
+    0x26084f18, 0x16b30714, 0xe2b0d6f4, 0x4f1e031a, 0x1cfffbd1, 0xfd7b35a0, 0xcc204f2c, 0x576b190e,
+    0x5c9d8402, 0x0b7805d4, 0xaf857538, 0x331b7fce, 0xcd7bd83a, 0x0efae917, 0x8ac73dfa, 0xc31ee63a,
+    0x32d0d9ed, 0x78740a33, 0xda957cff, 0x4a5e2409, 0x88a3c41c, 0x40160c86, 0xd2ed58c4, 0x41149923,
+    0xdb9e6f27, 0x85016b68, 0x5cfece49, 0x83ce8d28, 0x5462479a, 0xed1ab043, 0x6510f6fd, 0xa3dae838,
+    0x003128f7, 0xd2106486, 0x576e6e3a, 0x0caab76b, 0xa86f970b, 0xe38b874a, 0x279981b1, 0x665979f1,
+    0xd940435c, 0xa4ff3d89, 0x74206348, 0x00d796cc, 0x160bda2f, 0xb693dd28, 0x2435e79b, 0x3762c6ea,
+    0xecff1900, 0x8edfdc71, 0xc20fbf61, 0x71f6f1c7, 0x2756d0c4, 0xc0ee2260, 0x147de293, 0x2f4d2633,
+    0x1da7bdc4, 0x5fd87bdc, 0xa1309e84, 0xb4440e71, 0x28fd83b3, 0x625cf002, 0x1c7619db, 0x5ffbe80f,
+    0xc529a9e1, 0xf26203c7, 0x2d6fcd83, 0x1c2ba888, 0x5c8f2733, 0xdf3a65b2, 0x0c6d2ec6, 0x79085015,
+    0xb7cf802a, 0x9c7f4dbc, 0x8c02d26b, 0xed4c648b, 0xbc0cd1f9, 0xf4336ce3, 0x324af4a9, 0x8c20d23a,
+    0x41cc3ac6, 0xdc8f9096, 0x7f329b30, 0xcf053db0, 0xd27e0152, 0x7e1b19e8, 0xdc099bcb, 0xc850fd7d,
+    0x4cc282da, 0xea6404f2, 0x2976ccbb, 0xf24def8f, 0x816299ab, 0x300d15c1, 0x70b4c8d6, 0x09320480,
+    0xdb9448d7, 0x4d767830, 0xc6f76391, 0x578d0431, 0xf53a1bb9, 0x370c9bdb, 0x048653c2, 0x27e9d8a0,
+    0x9f78f419, 0x22adb8a4, 0x1cf90290, 0x508f7ce7, 0x5e7bb71e, 0x91bd7e8d, 0xdfd030ad, 0xa4760b26,
+    0x6375cf09, 0x5f872961, 0xb5b82253, 0xb5b970b3, 0x0d84b025, 0xc3969f8b, 0x951dab55, 0x69b49569,
+    0xa85c569a, 0xd08c6dc0, 0x2cefb0c8, 0xc5014c48, 0x2542a0e9, 0x278f716c, 0xc15f107b, 0x9787ce6d,
+    0xe1795222, 0x826f5dcb, 0xace6a530, 0xc73b3712, 0xbd839fdf, 0x2b1c9cd7, 0xd041599b, 0xf701556f,
+    0xb3c173aa, 0x7f3d7dde, 0x04e4ff59, 0xf3fbac8e, 0xd349248d, 0x8460004c, 0x2e1eed42, 0x56a52eaa,
+    0xb089c032, 0xb4ee0ad2, 0x93953045, 0xdbefd9b5, 0x099a321e, 0x90390b6f, 0x95f1a378, 0xc33a882a,
+    0x33d8e482, 0xb7191eed, 0xfa917f52, 0xb25f8eea, 0xeb100fcc, 0xbc5de141, 0x18c8a6bc, 0x27bbc194,
+    0x4f78dbc4, 0x4d61815b, 0xb9055ba2, 0xcc5af961, 0x9043ede6, 0x3e19a65d, 0xc39aec3b, 0xbf20c0fd,
+    0x11a53846, 0x843feb53, 0x1d7516da, 0xf5c58a22, 0x7d902506, 0x76dbda2b, 0xc6df9008, 0xe42c4058,
+    0xa535e8a1, 0x625a7dae, 0xba5cc196, 0x9563a545, 0x95734c90, 0x4ece519f, 0x8c3f5dd1, 0x752eeb61,
+    0xffbc645d, 0xa8e3e074, 0x2e14411d, 0x395fb972, 0x9cad8f2e, 0x069d9b5b, 0x6f89927c, 0x8674081a,
+    0xa1fcdf61, 0x58a4b13d, 0xb21aa3e8, 0xe6a4b633, 0xeb0f3c07, 0xba5c3bb2, 0xe373a528, 0x56128bca,
+    0x9918f947, 0xa36c5e93, 0x2996914f, 0xbad496f8, 0xad62bd4a, 0x2c91dddb, 0x8b8d4b7b, 0x696dacd2,
+    0xca1d823a, 0xc8797e98, 0x58ced6e8, 0x9a1bed0a, 0x88ccd304, 0xc64e9174, 0x6f8c1f4d, 0x0e162ea0,
+    0x96462219, 0x29202b41, 0x44097c1d, 0x8003c0b1, 0x169eac43, 0x4020c8a6, 0x8eadaddc, 0x97f13148,
+    0xc41dc838, 0x84c77afc, 0x215dbc66, 0x71541f96, 0xa46206ae, 0x3e4ce682, 0x65eaeb37, 0x558c53f8,
+    0xd20d1b3a, 0x007ffd62, 0x7ad1151a, 0x0c7c1608, 0x82446a0d, 0xea8077e3, 0x5a227115, 0x4d5eff40,
+    0x42e65f97, 0x9ff91a48, 0x860c3a02, 0x02839345, 0xa38bd7b1, 0xf19ad93e, 0x854bb52f, 0xf954b134,
+    0x917a14fb, 0x46092f76, 0x81597fd2, 0x31c51ccc, 0x08d0fbc5, 0xa050dc58, 0x54700c7d, 0xabca274f,
+    0xdff71abd, 0x21390282, 0xc84ac07e, 0x51618801, 0x9a09ae81, 0xec50f7a5, 0x46e6068a, 0x1e104591,
+    0xb36371ad, 0xd514db83, 0x80a9c6f6, 0x11158b64, 0xfaeb0d74, 0xf5f26eba, 0x5bd79eb8, 0x297d35b3,
+    0x3c0b4d15, 0x2fb43637, 0x10d90c93, 0x1b81fc1d, 0xe72fb922, 0x6f68a271, 0xf168e5d2, 0xf4228493,
+    0xa505163e, 0x4843b72e, 0x727e239d, 0x772d4300, 0x22b3e731, 0xd6cafff5, 0x626cdc80, 0x78fd8c48,
+    0x687311fd, 0x73ca2405, 0x5460e087, 0xc63b7ab5, 0xab4caeca, 0x079c4d1e, 0x407e8e01, 0xbc63bb1f,
+    0x889fa86a, 0xfe553030, 0x8f184904, 0x8977e880, 0x1bc19a15, 0x86d3bbe1, 0xbb579fff, 0xba10605f,
+    0xfe5aea95, 0xb829d830, 0xd886f6e2, 0x6f2989a3, 0x52c000f2, 0x77f7e74b, 0x09ad86b4, 0x47798f6b,
+    0xbd703d89, 0x54330928, 0x0e987d36, 0x55853919, 0xf066022c, 0xd0d1cd0c, 0xadc060b3, 0x9de87f5c,
+    0x346a6727, 0xf50c9f81, 0xefe42092, 0x9e659c53, 0x1a905197, 0xa99c3a2b, 0x0dc87856, 0x12b949ab,
+    0xb7f8c634, 0x06203f6b, 0x82f19f54, 0xa9698fd5, 0xb7042a41, 0xdafc1833, 0x3239d970, 0x2ad0e7c4,
+    0x559468c9, 0xb2952b57, 0xdaf889d7, 0xbebfbc20, 0xe0b3d1da, 0x93bbd4bb, 0x470c8850, 0xbad5109e,
+    0x2e034e24, 0x2b1151e1, 0xa9ddaf11, 0x34fd6a01, 0x979494d1, 0x6ed6b15a, 0xf2e5a03a, 0x6ba21d68,
+    0x7790f78b, 0xcdb0aa4c, 0x6c0e27d1, 0xaaa3254e, 0x3806cad0, 0x812789e0, 0xdcf0648f, 0xd2dd8792,
+    0xeb875689, 0x1eb33732, 0x93513342, 0xd59ffc58, 0x9c08224e, 0xe23c3c38, 0x9bec6157, 0x5f9e6d87,
+    0x201a1b53, 0x99a91715, 0x1a2784ba, 0xb50884e1, 0x1b4d3dde, 0x5cdf47e7, 0xac0e6c25, 0x12b0fefd,
+    0x9a0b9d81, 0x71e1b7a0, 0x91ca41d0, 0x33b37350, 0xf1ae1b60, 0xf5891aac, 0x6e986cab, 0x3cfaf86f,
+    0xce496327, 0xdb63a253, 0x303da731, 0xb26d8171, 0x878e39c7, 0x4c8d1064, 0xd6336fc7, 0x117c888c,
+    0x648cec9d, 0x0c17096f, 0x6ba321fb, 0x919c02ea, 0x2fe41de9, 0x51621169, 0xc9736fdb, 0xc0e7af57,
+    0x3a5eb556, 0xb16f63ec, 0x309202b3, 0xe7597165, 0xca9e7067, 0xc8dfebe5, 0x61054e8c, 0x18996d87,
+    0x946f9dbd, 0xcb23b477, 0x77678be6, 0xa7167204, 0x53a6a56c, 0xc1f91ecf, 0x034f350e, 0x8c31b2f2,
+    0xe02d62c3, 0xc92c3618, 0x3c43eb38, 0xcc7c23b5, 0x4c6650e1, 0xd9a19491, 0xb1cb396a, 0xb48ed407,
+    0xb1adafa0, 0xbd1c5f5c, 0x19329cdc, 0x06454a51, 0x85b8eee7, 0x88b745f9, 0xc762ee78, 0x755ee301,
+    0x79bea4be, 0x0f477de0, 0x73b0e746, 0xc26e6254, 0x735ccf88, 0x1522ac10, 0xcba18d51, 0xebabb043,
+    0xaf104253, 0xaeeaea41, 0xdb31b272, 0x3183b39f, 0x9f3435a7, 0x8a2322c2, 0xfbd8322c, 0x5bd90688,
+    0x66a2cb78, 0xab690e89, 0x072b7f62, 0xaea1ce0e, 0x8fca155c, 0xc594c09b, 0xc2c9bf82, 0x180b2de3,
+    0xd4d88116, 0x273a8c88, 0x25c226d2, 0xaf2e23eb, 0x1ba10c40, 0x27abbb60, 0xc700181d, 0x440727ad,
+    0x99cfb23b, 0x44c50dd0, 0x12bdcb13, 0xd24c131d, 0x4dbc6e60, 0xf369c3ab, 0xa7c1009a, 0xff9e667f,
+    0x448ed254, 0x94f523fd, 0x122d62a6, 0x8865996c, 0x1878fd74, 0x38f517f4, 0x870eadb1, 0x84dd3ad3,
+    0x4d8a7bd3, 0xb2654258, 0x4b40c15d, 0x9674cde7, 0xb36be992, 0x0ddaa12c, 0x8a07e8d0, 0xbbcdcec2,
+    0xe07ce2eb, 0x92af9848, 0xf2729ab7, 0x16490aef, 0xf2dd5e57, 0x9b1e8e92, 0x334d256b, 0x28e77756,
+    0x75f1bc3f, 0x607eef38, 0x4d8b0b4a, 0xe1121168, 0x4bda2886, 0x02b1ffae, 0xb0374009, 0xa0887eaa,
+    0x00000000,
+    0x7f8decea, 0xd3365b15, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000001532495540865888858358347027150309183618739122183602176 */
+  { 0x00000000,
+    0xaf64a081, 0xad0534de, 0xdbe93178, 0xbf633a09, 0xe12a786c, 0x72d64318, 0x173b97f3, 0xf37daeea,
+    0xf3237ebc, 0xec8163f4, 0xf01901c3, 0xc62c504f, 0xf789af61, 0x081d0584, 0x0bb16abc, 0xae20d897,
+    0x1710ed0a, 0xa71f2fd4, 0x57a9d58a, 0x9c86a13a, 0x65433666, 0x732d244c, 0xb5c839f9, 0x95e6baf9,
+    0x4413cef2, 0x3fac06a5, 0x3deebf11, 0x8c4907cc, 0x3dc328e9, 0x80f6aad5, 0xee6e682d, 0xfe549367,
+    0x5fdda660, 0x5332b14f, 0xb2af8fe8, 0xe9638a0d, 0xb0e2178f, 0x5469ec28, 0x59c17f82, 0x947eb50a,
+    0x86cfe599, 0x93bb643b, 0xfcf581aa, 0x2cda40d0, 0xc9d260d5, 0x63d945a0, 0xe31549c6, 0x06e8230f,
+    0x68614d02, 0xb0f44a01, 0x558d1770, 0xafb8cfd6, 0x78a02f21, 0xee2e3497, 0xfe7688de, 0x71087aca,
+    0x8abf0b8e, 0x6fc82db5, 0xe394b1e4, 0x444dfd70, 0xf0799e0d, 0xbf199c05, 0xa1b379b4, 0x15d0b647,
+    0x182c7e7c, 0xe0adb736, 0x69bdda57, 0xb179af33, 0xe9581b2b, 0x6f3c1a91, 0x93db2109, 0xce0f4dc0,
+    0xc8444b7d, 0x7dff657c, 0x6da09ae6, 0x989683a1, 0xdc64da31, 0x05b1952f, 0x4034a4ca, 0xbb60e8d3,
+    0x318332cc, 0xf9a1f4ca, 0xa5f8c2bc, 0x77398c4b, 0xb78f6545, 0x97663055, 0x893b3ce1, 0x4d0eab9b,
+    0xd1a81b7c, 0xe9bcb416, 0x399142cc, 0x4f290905, 0x5a472ffd, 0x18ab99f2, 0x5bc9f870, 0x906ba5a7,
+    0xc75dbdfa, 0x567f5d0c, 0xdb03ff45, 0xd63bc0d3, 0xf461abb2, 0x08aaf0dd, 0xef4869ea, 0xa9bfb1bc,
+    0x08e0af2b, 0xd393c597, 0x82c1cefc, 0xf414dda9, 0xc08b1d48, 0x23636908, 0x37cba174, 0x1fca6d36,
+    0x596fbb5c, 0x42932884, 0x75759f8d, 0x4c07bbe2, 0x39fb8bfc, 0xc1d3fa4f, 0xd8ac40a3, 0xe3294b31,
+    0x420c86e1, 0x3f100b99, 0x4ae7c21a, 0xd85c677c, 0xfed1da4f, 0xfe8f470a, 0x30718537, 0x0170c68a,
+    0xbf71d1bf, 0x15dc0912, 0xaa774ee4, 0x30bf6ec9, 0x734ac7ba, 0xf6cc73a7, 0x4e26ca56, 0x87bf6cae,
+    0x90cfd88f, 0x6bb3340a, 0x70941931, 0xe985a283, 0xdb470fc8, 0x2fd57879, 0xc1c7d74e, 0x12d51063,
+    0xc1ff9fe0, 0x59737cb8, 0x3001467e, 0xc1f71abf, 0x681f7d7a, 0x492dd2e8, 0x97ac8d7c, 0x1ecb4518,
+    0x3b0ee32c, 0x609e00ed, 0x835b4ea1, 0x2882ac7d, 0x315777b4, 0x0986ff77, 0x53ddfd4c, 0x732228ab,
+    0x82f10550, 0x5bac0efa, 0xbd028dc4, 0x30299dfc, 0xd70c92f0, 0x8373f260, 0x689d50af, 0x19a4b91b,
+    0x6a01ebd0, 0x61e8dfd6, 0x9560da98, 0x007d50a5, 0x0e6ee489, 0xd3100460, 0x1f25d32e, 0x234c2ffb,
+    0x42f3d64d, 0xc2b429f7, 0xf4e9625d, 0xfa90dbf4, 0xe080c79e, 0xdec5045a, 0x3e58955b, 0xefdcce0b,
+    0xfdff1271, 0x5cce7de6, 0x479c8aff, 0xe6376e81, 0x7a38f77a, 0xfaa68805, 0xdde48bc3, 0x2f0c1fa4,
+    0x045afe0d, 0xf5847054, 0x7a9f3d94, 0x45a0f178, 0x95a99b57, 0x90da5e8c, 0xd18beee7, 0x1a2568f8,
+    0x6cc53ab9, 0xf5efa822, 0x2cce89af, 0x49b80792, 0xb82c216c, 0x80af4b8c, 0x8b7b73b2, 0x4b20be33,
+    0xccc4a9d7, 0xe056ca94, 0xc848c80b, 0x9a6ab21c, 0xa1c433ea, 0x0ad70990, 0x07ba390c, 0xf5dd84bd,
+    0x39a43cf1, 0x7d35744c, 0xf49f5d4c, 0x682cdcf6, 0x920919dc, 0xdb2d1ab6, 0x76d1a949, 0x2166ee74,
+    0x49ff1cda, 0xdc9c342a, 0x90cc4f3e, 0x3d8c0ca7, 0xfc5799b4, 0x0fae4c86, 0x1452555c, 0xc2a49e90,
+    0xb1efb4b0, 0x8e3c7d72, 0x93050acf, 0xae6710b0, 0xa385f1c6, 0xd6b4918b, 0x2a3ef62c, 0xbc1bfacd,
+    0xc1e01ec9, 0x4162bfd3, 0xdb6c2a65, 0x783dbde9, 0x6d9ded62, 0x3403b379, 0x84fc9400, 0x41d3e1d9,
+    0x8aec27c2, 0x641216e9, 0xbc86f2aa, 0xa4900a7e, 0x19e81e6b, 0xc756dacd, 0xf67416b9, 0x867e3915,
+    0x9f4e8303, 0x2eb7546a, 0xd175c262, 0x008556e7, 0xf3ad6648, 0x474164a2, 0x061dac6a, 0x2d817c96,
+    0x33494aa1, 0xc55d75ed, 0x4d8a66c9, 0x34f6cbd2, 0x40133723, 0xc2eddcd6, 0xe8319075, 0x9f31d29e,
+    0x992857a1, 0x2c708724, 0xd4cdfd1e, 0xe70193ab, 0x7ff32b35, 0x8dda84e2, 0xa8b7b55a, 0x46227918,
+    0x6c6173a3, 0x62761374, 0x6443c6e4, 0x1b0e76de, 0xe735422f, 0xc02c34d9, 0xb21857de, 0x244921ea,
+    0xdd722ef4, 0xe4090634, 0xf6b1b9d4, 0x82814ef6, 0x9ae31a72, 0xd55b401f, 0x5368ccad, 0x26d460d8,
+    0x5a7a1177, 0x60f03963, 0x4fe9a7eb, 0x7ed706b1, 0xd23940be, 0xb10b77c5, 0x3a2f2941, 0x3c2961db,
+    0xa08b6b3e, 0x09e05e97, 0xa3f5344c, 0x81a164c5, 0xcb73051a, 0x2463b21a, 0x25f61f90, 0x513755ee,
+    0x7ca20ca3, 0x8ccd35fd, 0x22e39761, 0x3352d0df, 0xc45fee64, 0xf9086e54, 0xc4e157be, 0x2184bc5b,
+    0xadcdbeb2, 0x62b29c5a, 0x1481f6d9, 0x7e9ed976, 0x80aa7312, 0x350d2d4f, 0x45e05533, 0x14fc4934,
+    0x356c150d, 0x64d12d2f, 0xf539c5a9, 0xcf4ff7ea, 0x9ec4d016, 0x73fdbd0f, 0xa4c12231, 0xeb98d974,
+    0x1f5adb07, 0xc4fd325a, 0x71e28f0f, 0x04dd5b85, 0x23e7a224, 0x337f592a, 0x81d420b4, 0x3ba8223f,
+    0xacf59e1f, 0xbecb6769, 0x2edee833, 0x9c300616, 0x1abc1b0c, 0x6ac03583, 0x72186a43, 0xdc99dbd6,
+    0xfcdec3e1, 0x447eb8ef, 0xc30777a5, 0x9c24f41c, 0x498667c1, 0x969fec93, 0x02cc62b6, 0x1ffab95f,
+    0x74576420, 0xd5331742, 0x7bf1448d, 0x72b85104, 0xa630dea2, 0x50188b42, 0x9f49b639, 0x0969a226,
+    0x4e25e964, 0x270c0ce8, 0x26f4a2fb, 0xbe692523, 0xb7f0da57, 0x01a72b08, 0x21c791b8, 0xa6071458,
+    0xaef3c21f, 0xfbd53113, 0x8d67b870, 0x614290d2, 0x275019cf, 0xbb6ac86d, 0xae49d13f, 0xb0884db3,
+    0x2e015a20, 0xa2025d30, 0x1d56c050, 0xe2afe922, 0xab726e0a, 0xa21d28cc, 0xd079dbab, 0xdd607bfb,
+    0x6e056e32, 0x047b26e0, 0x82bb2efd, 0xef855c14, 0x20a240fc, 0x7a058a57, 0x34cb6182, 0x1f5fbeda,
+    0xf7837c2b, 0x78bb19de, 0x72fe4aae, 0x7721446d, 0xb1b91997, 0xb46364c6, 0x3485d1fd, 0xa2063cd0,
+    0x62c59a74, 0x17b8ded2, 0x764bf0b9, 0xefa853d5, 0xc4aa0304, 0x4dfd5682, 0x492180b6, 0xe8ff674c,
+    0x90415914, 0xaeab9c28, 0xbaa16391, 0x0a9c1fc6, 0xcaf7ca53, 0x89b159d4, 0xd6d180fd, 0xa6be9d16,
+    0x73f3e7fc, 0x7a28fdc1, 0xd8c1e769, 0x3609b4ee, 0xc0b9c908, 0x89ce9435, 0xc5745427, 0x301e2a92,
+    0x1e43aabe, 0x04995e69, 0x0498a408, 0x655a81c8, 0x756e29a6, 0x379f0b2f, 0xca64b628, 0x29718e73,
+    0xabb51887, 0x9648a9bc, 0x2e740729, 0xb731b9ca, 0x4adf6ed2, 0x52cb0022, 0xa6cd9129, 0xe6a5a603,
+    0x679c07e9, 0x3909728b, 0x8b021159, 0xf891b2e6, 0x81c79165, 0x802c7ad1, 0x8745eda6, 0x63470b28,
+    0x9ae435fc, 0xb2138e7b, 0xad69f045, 0x5e615b3a, 0x8112094d, 0x5d4453d8, 0x0efb1825, 0x32379f8f,
+    0x8a1ae714, 0x2103e48c, 0xd220b460, 0xb3a693f5, 0x8d311d60, 0xe5ce8406, 0x7b0687a1, 0x70132b73,
+    0x2c2fa9ca, 0x827367dd, 0x535e9570, 0x01757fce, 0x6ab16642, 0x193f3fa6, 0x908ea674, 0x554b5982,
+    0xad2870eb, 0x40b5a0e5, 0x48476c11, 0x9841d933, 0xffc1b497, 0xbd9417d4, 0xb129da3c, 0xd44d5a22,
+    0x3e665b9c, 0xe91a55d0, 0xcabe0bb1, 0x6afca0a9, 0x4daa61e4, 0x60bbce7c, 0xbbf6a19d, 0x395e8a1f,
+    0x5b417c7d, 0xf87babe5, 0xfbc32e52, 0xbed58ae2, 0x63beb05f, 0xfabfa6a4, 0xa5ae7c66, 0x8eaf0ee3,
+    0xe1d949d1, 0x100a1d8b, 0xc5afcd99, 0x64e592c0, 0x3f983764, 0x920d24ec, 0xb7fb2767, 0xf7055b3c,
+    0x29804e8a, 0xf1b5db4f, 0xff99a43b, 0xf6db019d, 0x667d9ffd, 0x2a4177d7, 0x597dbd31, 0x771f9f67,
+    0x08ec8944, 0x1d495634, 0x466c9b96, 0xdf14f6cd, 0x564f3c40, 0x482ccc50, 0x84e9a6c2, 0x4be087da,
+    0x0a1c2412, 0x5ef169b2, 0xf846deac, 0x3ebc690f, 0xad60f546, 0x40161608, 0xa6decdf5, 0x25c47558,
+    0xaaf5a71f, 0x6afc0f71, 0x172d0e75, 0xb8e4b84f, 0x28e52643, 0x26d9d7df, 0x30949f5a, 0x54496a06,
+    0xecbc529c, 0xfbef6537, 0x9437554c, 0x4627ab0d, 0x2a7d79f9, 0x32c7f788, 0x3173002c, 0x91f217cf,
+    0x22faff9a, 0xef6d6c0d, 0x44361862, 0x934dec14, 0x16cee3fb, 0xde698d37, 0x9bebf24b, 0x47af80ba,
+    0x5e9cb94c, 0x5247b612, 0xabe04d7b, 0x4e656507, 0xd7318564, 0xf50034f1, 0x02afd408, 0xc5003b94,
+    0x4cc0d370, 0x84669e34, 0x3700f753, 0xea5b04da, 0x3fbebeac, 0xb378c13f, 0x00624693, 0x46570360,
+    0x2ed9a9c9, 0x82160521, 0x493287d5, 0x9ceadd46, 0x413b2230, 0xdcaf17a8, 0x9f6c76d9, 0xd1856e53,
+    0xae9a1470, 0xc2f29d97, 0x12b231e4, 0xb6287750, 0x5854bf80, 0x3e4d4d67, 0xbe86de28, 0xbad74ce1,
+    0xaaea2786, 0x65da9af7, 0x67115793, 0xf41f8a0f, 0x20c3835b, 0x006ccfe8, 0x8f02e107, 0x552c35ef,
+    0x407232a4, 0x7e52c728, 0xf4a315be, 0x3a9a170f, 0xcd66a98e, 0x6c227a58, 0x90ebc49a, 0x2ff1afc4,
+    0x87b6c430, 0x4f6714ec, 0x55e6185e, 0x1105992f, 0xf92b22a6, 0xe3889a16, 0xfac4a150, 0x977eba59,
+    0xc1529887, 0xdc060764, 0x269c4e0a, 0x4b3a13a0, 0x362cdf01, 0x5cb23556, 0xe2d9391f, 0xfd3fef68,
+    0x43025a60, 0x9ea757e9, 0xda008211, 0x16423747, 0xbd6c7ce5, 0x7f32ac21, 0xe20550c2, 0x6c2293f8,
+    0xdd1d9d0e, 0xa1825f32, 0x14f813db, 0xdbe6dee5, 0xf4084bd6, 0x840c5f10, 0x15b9ffa0, 0x9b9f1171,
+    0x3295aaab, 0x5656e589, 0x868f2543, 0x3c9421a1, 0xae57027b, 0x7eec683b, 0xe14a9839, 0xa885b305,
+    0x59caff80, 0xb4d5b018, 0x93686aa3, 0x5884ce5c, 0x97ac6a83, 0x22371a56, 0x46df9b5e, 0xc8cac4a9,
+    0xdd8361e2, 0x71e3c18d, 0xe5510e1a, 0x9ea4ff62, 0x16d25f5f, 0x02f251c1, 0x0f54f3b2, 0xed53823e,
+    0xdd76783a, 0xdbd41bc8, 0x9046748a, 0x1068390e, 0x79406f8f, 0xe3afb258, 0xc5acd778, 0xda423811,
+    0xd0bc851c, 0xa4186f09, 0x54d68896, 0xc02a5922, 0x99f38c38, 0xdee5d12c, 0xc95bc7c8, 0x48547b78,
+    0x529b6235, 0x9b1a560b, 0x73964fbe, 0xb03d1ef7, 0xe7244ba6, 0x1b2324cd, 0x0191d4c7, 0x54e155b0,
+    0x6410d2c2, 0x53200b58, 0xd4389003, 0x883ea342, 0xd1652608, 0x175ff610, 0x503ec42f, 0xa973aaa7,
+    0x9adf5fdd, 0xc6948595, 0x9da53c8f, 0xfb444379, 0xefc6fa3e, 0x5878cd18, 0xe790a950, 0x1440aeb4,
+    0x91bd547c, 0x780e3e2e, 0xa9127f94, 0x83475b50, 0x6b16b531, 0xecef5c7f, 0xf7fc578a, 0x13efeef5,
+    0x2e5c24d1, 0x356dc633, 0xc13379ee, 0x2382081d, 0xde0b5cec, 0xe0cadc6c, 0x7277508a, 0xd8216ba9,
+    0x37d631c6, 0xb0ccb347, 0x27257d32, 0xaf9a3e60, 0xcbcbfc85, 0xa60ce9c3, 0x693b4b04, 0xde3af15c,
+    0x2ddb69fd, 0xc4da8169, 0x5a7061b9, 0x67632f78, 0xb09f71ce, 0xc8d1e6d5, 0xf5430667, 0x416c78d2,
+    0x86bce2c0, 0x677cb4f8, 0x99b9bd2e, 0x6f481057, 0x60c30206, 0xaf3d82be, 0x7929aa43, 0x17a80185,
+    0xbf530eb7, 0x85322ccc, 0x72b8c98e, 0xd9afd937, 0x05120403, 0x2b7ff4b5, 0xbc4aad0e, 0xf22c919a,
+    0x1b9c8728, 0x9221b582, 0x063dbe52, 0xf589afa2, 0xb81c9fb9, 0x3c7b0eba, 0x5b135411, 0x20675b52,
+    0x8de09d01, 0x8be5cc4f, 0x87bf3c4a, 0x813ca827, 0x58144a7d, 0x1d518f9a, 0x76f25f58, 0x048a0948,
+    0x705b94b9, 0xa6dd9e72, 0xe5ff4313, 0x26227938, 0x6ace8738, 0x8359e497, 0x9653b5db, 0x28066cb4,
+    0xabad1063, 0xa9ee9b8b, 0xde4717e5, 0x70378115, 0x68e2f009, 0x963ec816, 0x3d63a136, 0x20f6f03c,
+    0x67f3f0f3, 0x2d159821, 0xe2889d8f, 0x080390d4, 0x9158eb42, 0xdf470c2d, 0xca4186fb, 0x7edaafc1,
+    0xcaa9d972, 0x8d8c9a5c, 0x46303757, 0x24025cc9, 0xed860180, 0x5f80a0b5, 0x0ed91ed8, 0x51c4beaf,
+    0x83992eb9, 0x32c6d90a, 0x8bb16511, 0x89b2a8a8, 0x47ab7097, 0xdd422cdb, 0x3a027591, 0x3718d7a9,
+    0xc3e3760d, 0xfdebbb7e, 0x2d1f06b5, 0xad309d21, 0x6185b201, 0xc86696e6, 0xc62f763c, 0xc497239f,
+    0x9be2bfdf, 0x1324277b, 0x52359311, 0xfe002806, 0x9b8b8dc9, 0x63e91f0e, 0xfb26a3d7, 0x92b29098,
+    0x55e05a39, 0x7d2ee4d1, 0x66b158d1, 0xbfe87b44, 0xce9cd405, 0xae046b25, 0x022d803d, 0x432f0baa,
+    0x96b59d31, 0x665d99e4, 0x467f57fc, 0x8e41a0db, 0xf8313ea3, 0x56cae967, 0xd6c389b7, 0xa2e1d629,
+    0x95328001, 0xc50cbf15, 0x3b8d898f, 0xca23791a, 0xf8020de9, 0x07a10f89, 0x379fe26e, 0x00977f50,
+    0x840ad0c7, 0x7c6dd7bb, 0x0b505f66, 0x3dcd56fc, 0xdc8ddce9, 0x5677a53b, 0xf0e40e30, 0x646c1b3d,
+    0x5f9a738f, 0xc783c278, 0xeff31e5a, 0x267bda8d, 0x3ddf1bce, 0x27c31f43, 0xfc75e53a, 0x52fb08f0,
+    0x5e568cd5, 0xcb757c14, 0x92d3c65a, 0x536ae811, 0xed9fedc9, 0x14483d4f, 0x7c4f17ef, 0xfece3824,
+    0xd582ea9f, 0x06ac6e48, 0xb988f287, 0x89e58daa, 0x57d3ff8b, 0xbc8f6b1e, 0x8d93c0bf, 0x79973ca6,
+    0xd43889d6, 0x2c993fa4, 0x42f3c10d, 0x53bb7b2a, 0x4c674528, 0xe74fe8a6, 0x4edbcdf8, 0xbe16bd8b,
+    0x5f85dd79, 0x24436aef, 0x9e68df83, 0xd3ba1ebd, 0xca8b2347, 0xc6d97264, 0x2fff22a4, 0x07bbdd29,
+    0x00472742, 0xdf610c6d, 0x312c6c65, 0x08a5ff0f, 0xd5ed33eb, 0xf2b127df, 0x3594950f, 0x7e444c6d,
+    0x503255a5, 0x4e87b115, 0x0ed36d0b, 0x830a48f1, 0xe477b36f, 0x500df9c7, 0x58e99a26, 0xafd133e1,
+    0x0df39a86, 0x9588ecb7, 0xc59969fc, 0x20d5cb18, 0xf8abe95a, 0x43cddfd3, 0x97e5b3c8, 0xc774c06f,
+    0x92f89ef5, 0x7ac58213, 0x50141ec7, 0x00a0acfa, 0x7a7afdc2, 0x6740e86b, 0xdbe9d384, 0xd87c193d,
+    0x43698b1d, 0x4d3d693b, 0x35767481, 0x02454032, 0xe3680e47, 0xab1d4a9c, 0xe21ea208, 0xe2eef51a,
+    0x5c51f7d8, 0x59a97e25, 0xb868d306, 0x59a50dca, 0xcf4ed3f3, 0x76625445, 0xdaeaa06f, 0x30611c31,
+    0x63035705, 0x1ed113b3, 0x31381623, 0x63f0f5b0, 0xafb30fc4, 0xa50b7bf5, 0x1e9ad1e3, 0xfda3bec5,
+    0x2ca4a895, 0xaaf0abca, 0x59fc466c, 0x03b56ea1, 0x785caca3, 0x07955609, 0x4c9f89f1, 0x6c4ffc8e,
+    0xa215c938, 0x4b84f6ef, 0x8e6035d1, 0x29614106, 0xc44b1a86, 0xfca5e6a5, 0xf9912434, 0x2d5ecefe,
+    0xf32c48a7, 0xf9caf7fc, 0x1978ba34, 0x611c65d9, 0x8e73c7f0, 0x2c953a7d, 0x187f14cf, 0x57bb7bf6,
+    0xc052ed2d, 0x9e09dac0, 0xde842a0d, 0x66d7f83a, 0xe968a19b, 0x7d95cf6f, 0x6a2b64e2, 0x6a8f89f7,
+    0xbc98ba48, 0xb76beb65, 0x5f0c7bba, 0xeab3f6d4, 0xc569a046, 0xd0c093b9, 0x3d01b6e6, 0x72e85af2,
+    0x218b87e3, 0x87de4704, 0xb95fad89, 0x361a96c0, 0x86704cdd, 0xf6c225b0, 0x4bc36092, 0x79c63366,
+    0xf05698f3, 0xa09a09c1, 0x32cb392f, 0x87bc8be9, 0x97d4e040, 0xef312bf2, 0x36649ac2, 0xcab90324,
+    0x00000000,
+    0xbfc6f674, 0x699b2d8a, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000766247770432944429179173513575154591809369561091801088 */
+  { 0x00000000,
+    0x8ba8a0bf, 0xebe061f2, 0xa86fa079, 0x74f12793, 0xe2253050, 0x04d3d726, 0x126ad31b, 0x9d318502,
+    0xbb229e5e, 0x70eedaa3, 0x8b0b9d1a, 0x4378da8b, 0x1f1e3306, 0x40c86a1d, 0x2aea67b6, 0xd2ab0ab6,
+    0xef441485, 0xa01b8571, 0x072d2683, 0x2bb5e415, 0x1c9b1267, 0x97a10408, 0x7a0b4df1, 0xb1be0019,
+    0x2a1f1e0b, 0x0cb89573, 0xdab369cf, 0x73c89cc2, 0xc6f63c5f, 0x43f6f14d, 0x33639556, 0x0a0f9a49,
+    0xb2ee75bf, 0xd11e94f3, 0x8829febf, 0xbc53ea30, 0xc11fc057, 0x2faf7241, 0x4c8ba46f, 0xc56b2e6a,
+    0x0faca1f7, 0x99cc5a7c, 0x7b0c6918, 0xd71f6e9e, 0x93ce269d, 0x3b4d1813, 0x5265b563, 0x53221f68,
+    0xd45569d1, 0x79a5004d, 0x4d8ffc67, 0x17bbaf76, 0x7a3d3ffe, 0x920c320e, 0xcb34da2f, 0xb0571241,
+    0xbc51eb49, 0x62e06295, 0x2edb3025, 0x07d9092b, 0x5e23db3a, 0xa48e96dc, 0xac849f3a, 0x541befb1,
+    0xd0e2ecb8, 0x6afc84f9, 0x2325347e, 0x6e15d49f, 0x4de9c6c9, 0xf6728c88, 0x1854671e, 0xaaf5ba67,
+    0x7dc9cda2, 0xf668cb7d, 0xcbccb95a, 0x63b42e79, 0x6257bec7, 0x3ea0fe40, 0xd01d9581, 0x36f40e4a,
+    0xf6256c34, 0x2ee28eba, 0x840af4ac, 0xef18ff1e, 0x0f82f816, 0xe58e1c0d, 0xfa3dd90a, 0xbffd4f1f,
+    0x8012ad4d, 0x8d1fe2e8, 0x8a5e303d, 0x9fce8326, 0x65c39a0d, 0xf5d6a92a, 0xe816cda1, 0xa5e887f9,
+    0xb6607c04, 0x99925420, 0x51627e26, 0x0ffd144d, 0x92ba91a2, 0x7720569e, 0xe4f24394, 0x21fd757d,
+    0x6631f7ec, 0x8f798f39, 0x25c6cc45, 0xe85dc75e, 0xa6abbd7b, 0xe3f69cc3, 0x41754bde, 0x6bdc8e10,
+    0xe768c969, 0x64773185, 0x0678ac99, 0x17a9bbbd, 0xae6790da, 0xb69f8c44, 0x936cb21a, 0x649e7cff,
+    0x57ed9438, 0x9a71bac3, 0x82fecc95, 0x71e74198, 0x65f9ea71, 0x0db01104, 0xcce88a80, 0x414df571,
+    0xe89a1ebe, 0xb8525beb, 0x5572432d, 0x2166a0f9, 0x15a36dd2, 0x52382417, 0xb6fa4ba8, 0x6426df1d,
+    0x05e154c8, 0x4f62c18d, 0x957cc265, 0xa6c37f01, 0x5ab73505, 0x3f6b4afd, 0x4be7d259, 0x8ff56c9d,
+    0x05baa36b, 0x4d56c470, 0xd78c65f4, 0xc7e82180, 0x2ad5ed42, 0xb30923d8, 0x19443148, 0x72a818a3,
+    0x0add72ab, 0xa45e3e63, 0x47386417, 0x4b3c97e3, 0xe05ccd39, 0xaef4a9b4, 0xd65cdd46, 0x936d1135,
+    0x80916a98, 0xc23738af, 0x9b839458, 0x255ace25, 0x80865d24, 0x610e9248, 0xce1084f2, 0x5e994372,
+    0xf967b5ce, 0xb5528e5f, 0xbe934293, 0x40abc597, 0x425eb8dd, 0xba6b6ec8, 0xfa1c86d9, 0xf0567066,
+    0xcdd5ceb1, 0xc6cdf832, 0x9853e9f5, 0x7e3ac27a, 0x20a0be43, 0xd7d8ab83, 0x52ebe28a, 0xbb77b384,
+    0x9211c1d5, 0x2aca19a4, 0x2cfc38e3, 0x334a2196, 0x1916f84f, 0x6c482750, 0xd3e45d40, 0x544d5065,
+    0xd8cc90b4, 0x3399121e, 0x5a7e0edf, 0x97fde399, 0x35ec3cb8, 0xe620893a, 0x1156c960, 0x7b893e1f,
+    0xb63e05a2, 0x1375a7f1, 0x729f5eb2, 0x8f520e07, 0xc3e545ac, 0x5a4e7070, 0x6eb0c893, 0x45381bf8,
+    0x1eb58545, 0xc1eb6cd1, 0x88ae17c3, 0x8ee770c5, 0x5506542e, 0x96486884, 0xbce812ae, 0x34fee723,
+    0xe0398a55, 0x1ce028d8, 0x4222a397, 0xcf7e048f, 0xea178df0, 0x8f14a768, 0x29a8777f, 0x6d90fdd6,
+    0x1d6a9279, 0x336ca607, 0x12334d83, 0x4a0221e3, 0x5575312c, 0x07b9495a, 0x7742ce26, 0xa22535c7,
+    0x9cba1f52, 0xedba72b3, 0xad265765, 0xcfb49257, 0xc0dc7815, 0x6fb13aa9, 0x743b8c96, 0xf8e98bb0,
+    0x00ace304, 0x19110150, 0x20a23553, 0xecc6d6fb, 0x081445af, 0x40931bf6, 0x4415cce1, 0x66192166,
+    0x6ad06a77, 0x313d7a44, 0x904fbeaf, 0xee7c63aa, 0x0c1ed6db, 0xe2ada0a6, 0xad982f4b, 0x89540b76,
+    0xbd0eb17d, 0x6d7cea80, 0x0f7f867e, 0x73a0650f, 0xb212410b, 0x1909c097, 0x0506a4c9, 0x011fa662,
+    0xb07d768c, 0xd19db11a, 0x3f20c1fe, 0x8482ba87, 0x03728f87, 0xdbdf0712, 0x1e483fb9, 0x9cf7c746,
+    0x31d27b15, 0xacd1c804, 0xba84b2c8, 0xcc62c3ed, 0x97da4a4b, 0x0a7c8ec9, 0xc3f6bb1e, 0x6cc85928,
+    0x9ebf1e9f, 0xabac2e00, 0x0ae7061d, 0xc18ab0db, 0x5aa55706, 0xde2b2092, 0xa05b1c2b, 0x117d3719,
+    0xb355278e, 0x16c3cf09, 0x795e08b9, 0xf4928259, 0x99393cc0, 0xe23922b0, 0x9a9fb5b9, 0xfbb731dd,
+    0x29c7737b, 0xdccfbb8d, 0xbb3ed183, 0xe00a4506, 0xf4bf43ac, 0xaae4a7d8, 0x62835fac, 0xf8dbbd0e,
+    0x1a4a215e, 0x26b7a4a9, 0x82bf2cd7, 0xbb622683, 0x76061c89, 0xbc4a1084, 0x3eecff88, 0xca5f8cb1,
+    0x4454a934, 0x59d0cbc0, 0x051827af, 0x44b69a9b, 0xa9951bea, 0xb6e45b2d, 0xc455fa1a, 0x35d1e07b,
+    0xb7ab453a, 0x6aa3bd3b, 0x512f3611, 0x5db77048, 0x94967a94, 0x2d45c74c, 0x7bf0d8c0, 0x5b297cd3,
+    0x54e91a6b, 0x1437bfa0, 0x80a2e5d2, 0xbf8501b2, 0xa5c62955, 0x108515de, 0xa24bfd44, 0xad835b6a,
+    0x92f067a4, 0x10d1f8a4, 0xf8b975a9, 0x30ef20ef, 0xac931394, 0xf3c52d4e, 0xa8deab1f, 0x17ee8c75,
+    0x99fba9b4, 0x49973e7d, 0x312a1688, 0xa151989e, 0x16645bcb, 0x7afd868b, 0xd38017c5, 0xeb1d82a2,
+    0xd1e6a9ed, 0x6a0aa56b, 0x7b7c69ef, 0xfff813be, 0x025dc525, 0xe5b7cef7, 0x8f15d4cf, 0xb7061a17,
+    0x31a8e2e5, 0xe237af29, 0x3cca38b4, 0x56446bb1, 0x9cede678, 0xc1396983, 0x3a14215d, 0x0bc5732c,
+    0x6082a57d, 0x5245d74c, 0x0cb8f393, 0x4ef5e6d3, 0x1e0e9578, 0xb0bec060, 0x1ea86118, 0x2595e9c7,
+    0x6c1608a5, 0x6834abf3, 0x703df54d, 0x34b93eb1, 0xe856b491, 0x4d414b06, 0x3bc61f00, 0x8bafc995,
+    0xdc2ee25b, 0x6355a427, 0x5ff00c32, 0xfe89024d, 0x8fef0514, 0xedea05df, 0x7135bc9b, 0xe98c116b,
+    0xe0a6d357, 0x1c69e774, 0x1f128003, 0x4490bad7, 0x567266e6, 0xac6f9a6c, 0x121f7d87, 0x877516ad,
+    0xbb2603cb, 0xc754df48, 0x2148bf61, 0x216b7d54, 0x1ce3f6ad, 0x9cd82ab6, 0x711f78ac, 0x764d852c,
+    0x9c9caa1d, 0xef61bf6e, 0xc00fcef9, 0x905f1ff6, 0xf10ddeb0, 0x3a6149bd, 0x21fbae23, 0xf12c4da0,
+    0x74ef7217, 0x124979ea, 0x66c16869, 0xae5dec4d, 0xe8c3112d, 0xbdc530e4, 0x6b176743, 0x721e09d2,
+    0xe5211999, 0xc26a0aaa, 0xa73e261a, 0xf58af641, 0xf132dba6, 0x025c0db9, 0x0a4f8f0a, 0xf63d7445,
+    0x4794d6a3, 0xaec3622a, 0x06a4e063, 0x9651ef62, 0xae43df20, 0xcb055868, 0x9422708c, 0x4b3c2baf,
+    0x4a93a6ce, 0xa4fa992f, 0x89999237, 0x23f184e5, 0xb9cda4e2, 0xd0f95e87, 0x22e8c7bb, 0x02f448b8,
+    0x59c1ee4b, 0x359188b5, 0x16edc0b0, 0x0c84df45, 0xae7c58f3, 0x29b854e3, 0x2bfdf385, 0x38a08829,
+    0xc598aa2a, 0x30e39172, 0x543c6fb1, 0xbfdb1015, 0x07ec06b1, 0x3c871aca, 0xda22c72d, 0xb436d0fb,
+    0x65134a65, 0xe87bc7a3, 0xdc489a91, 0x9f4f9f1a, 0xab297986, 0x90d0ffa3, 0x00f4b5f7, 0x72535144,
+    0x9aa481aa, 0xda345ecb, 0xe5a36f56, 0x3a7b5107, 0xee921067, 0x2c169755, 0xeb114210, 0xccd3479f,
+    0x0e2e3fd7, 0x025f0f50, 0x7252452a, 0xe101c142, 0x187ae80b, 0xd58f5c55, 0xa2c30d71, 0x36e51329,
+    0xb2966891, 0x4e3fa035, 0xbdbb8851, 0x270c9634, 0x3ff34e89, 0x5c8c749c, 0xab18c142, 0xe099dde8,
+    0x024ebcc5, 0x75b9c893, 0x9147fc8d, 0x084fe5bc, 0xafa96018, 0x0f539cb8, 0x09dc5a28, 0xde4209f6,
+    0x0693bc2b, 0xbf6a96e7, 0x7e6143a8, 0xe0dd8a0a, 0x6d2b64cd, 0xb39635cd, 0x62b6b1ed, 0x158176e6,
+    0x6bb1144e, 0xf351164b, 0x674a8196, 0xe1e8a675, 0x4c766393, 0x65c15931, 0x668489cb, 0xeff2112b,
+    0x00de296c, 0x501a2416, 0x49f27682, 0x93229888, 0x9153b336, 0xba8b19ec, 0x1fe429ee, 0x1063d6a5,
+    0xb35eb889, 0x105b423d, 0x2e3939a7, 0x802b9665, 0x2882a236, 0xbbdda763, 0x4114a656, 0x77ecbbf7,
+    0xb7c59dae, 0x58e40bd5, 0x8730d2fb, 0xa7425c68, 0xaf5ab488, 0xf764ef5d, 0xc8c8c9b6, 0x1f96b1dc,
+    0x1b84f900, 0x7a65f7e1, 0xed1ca181, 0x7a2e5da2, 0x1f2fc7a3, 0xa1e36c8d, 0xef9ab4f2, 0x62cac5e1,
+    0x12461a8a, 0x9e4d2572, 0x90964ba4, 0xe4009e43, 0x16a47c75, 0x8d81e2d5, 0x5fca0766, 0xbfd86fd8,
+    0xa561d361, 0x9aba4ebc, 0xb037e925, 0x10435804, 0xaab2e784, 0xc2974445, 0x1658f4d6, 0xa45562fa,
+    0x1b14a7ff, 0xc9b441f3, 0xb0543f8b, 0xebb8c4f8, 0x8f73c63f, 0xc2f4c756, 0x43c1c30d, 0x5863cfdd,
+    0x2459593c, 0xb57dceba, 0x6c9fbb1e, 0x2d5efb85, 0x43da16ba, 0x02c3abe2, 0xba12da89, 0xa551af9b,
+    0xbbe2ddfc, 0x70c015ab, 0x4c417457, 0xe1baa418, 0xd2dd2832, 0xe1717ac3, 0xdcab22c7, 0x162f7db3,
+    0x7f8c5c19, 0x8acc80af, 0xe869d314, 0x495c2c09, 0x5e14c524, 0x34f2a7bd, 0x0db19c69, 0xd3be098e,
+    0x0e1445d4, 0x2544dd4b, 0x409ec2ae, 0xf55f5809, 0x65ff015e, 0x3670aa8b, 0x760d2320, 0x664f9a46,
+    0xda77383d, 0x61bf53c3, 0x0299c78b, 0x608cd792, 0x60ad0a38, 0x7fb080ff, 0xa4a5a014, 0xa02a46a0,
+    0x3b189ff4, 0x5345ece0, 0x9efc3439, 0x32f98858, 0x06b079a0, 0x3b7ee915, 0x217fe7f4, 0xa78efc95,
+    0x1450dab6, 0xc008b704, 0x3822cbaa, 0xacfccddf, 0x482bbcfc, 0x1190d50d, 0x1e7d719d, 0x5ded6031,
+    0xc4d90177, 0x183c6036, 0x8744fb00, 0xd1fb8685, 0xb344fc59, 0xa45f8e37, 0x7c33cfec, 0xcfe0a053,
+    0x99720a59, 0x59113d8b, 0xaf1261a1, 0x1c47fbaa, 0x6cb83320, 0x36f9f95d, 0xeea75512, 0xdd3794b2,
+    0xfe050061, 0x63542e66, 0x2365a7ec, 0x2d0e6de6, 0x71eabecc, 0x120548f0, 0x307c7280, 0x9d094dff,
+    0x2bb84501, 0xe57a16fc, 0xe6f540cb, 0x311db24c, 0x04621dfc, 0xaab18b22, 0x837acd0c, 0x9c35e481,
+    0x3052f1a9, 0x963bbc8c, 0x23b28a8f, 0x833948bf, 0x5b752d94, 0x5880be67, 0x0bb33b9a, 0xba0921d1,
+    0x426042b7, 0x9d00b9b2, 0x65f0a426, 0x7d5105d8, 0x54640fb1, 0x8fca93a2, 0x76955576, 0xd7aff91a,
+    0xcd8f856c, 0x3cf96634, 0x05d15047, 0xa2b1f80f, 0x626bdd22, 0x70bd81d2, 0x5dc19c58, 0x38a923e7,
+    0x0611a10a, 0x6d45b629, 0x06957599, 0x90b0dcd3, 0x2d4ea95e, 0xcc0314a3, 0x4753b4ae, 0x478e7c40,
+    0x757ff12e, 0xb8502ee5, 0xc7d96805, 0x6f22d9b5, 0xd7593565, 0x68ca0dd2, 0xa5f50df0, 0x126a3d0d,
+    0xc46835d3, 0x1635ab26, 0xb647c125, 0x3ceee8cb, 0x319c4516, 0x28d226d5, 0x6f19e342, 0xf17f81a3,
+    0xf57ed1f1, 0xa51631c8, 0xa2ffbe0c, 0xdb70202c, 0x3d94f36a, 0x1a85b305, 0x44dee93d, 0x55e85c62,
+    0xc31b9bf4, 0x0a3f13df, 0xb4b81ca3, 0x9c3d9f91, 0x2b17278d, 0x6f73fa5d, 0x42f4699d, 0x2cc8a212,
+    0x1872934a, 0x99f9940d, 0x369b79f6, 0x6aa55dfd, 0x64c1d89e, 0xe6b25f85, 0x2690b5a3, 0x57875a41,
+    0x0b844687, 0x59d35759, 0xf9f1f6b9, 0xf7a614db, 0x727aad4d, 0xc163c0ae, 0xa8c09c31, 0x22b9d494,
+    0xdc6b60eb, 0xf9d9b3ab, 0x0b43850d, 0x2b27a8d7, 0xf24b8387, 0xdca1f640, 0x0bdf1266, 0xb87b7c71,
+    0x903a1fbf, 0xb3288680, 0xfc683500, 0x715aa5f7, 0xd4664763, 0x3e778b36, 0x165b5c23, 0x8277bfcb,
+    0xddf065f3, 0xa319afe5, 0x84699ea6, 0x8f5c89cc, 0xc13d094a, 0x567a2e79, 0x3553a7cf, 0xb4922341,
+    0x3325e8b7, 0x90599fc6, 0xeb4a61b7, 0xc8c0c7ea, 0xcaed72db, 0x8d0957e1, 0x7aa5ebd9, 0x6bca1cd0,
+    0x7cf2eb8f, 0xe76c36d4, 0x4f062a99, 0xb541e861, 0x834c5bd8, 0xf51af9b0, 0xcf2b1175, 0xb177ae61,
+    0xadf8e83b, 0x3be1f937, 0x780c0d3d, 0x4632d206, 0xce0abe20, 0x464738e2, 0x74ed1176, 0xa4114a37,
+    0x37a5b248, 0x3e004e97, 0x5492f112, 0x198af8c3, 0xb462f6f8, 0x1a5539d8, 0xe94aff7d, 0xd286c3ec,
+    0xbd26d8ca, 0xc79a59a1, 0xf4cf0f8d, 0x097ccd7b, 0xa11f0a32, 0x037d3a58, 0x570a3515, 0x6e22148b,
+    0xa86c5e7f, 0xf2c54192, 0xbdd7acaa, 0xee8ef451, 0x0bde2bf5, 0x9f001ba4, 0x93dd1102, 0x77ae5cac,
+    0x72110811, 0x8fddac93, 0x8dff07e4, 0x8bf8cda9, 0xe199f4d0, 0x6083debb, 0x409272a6, 0xfa97caa5,
+    0x11095265, 0x252fc6a0, 0x4731b508, 0x48a43a15, 0x1b26bc96, 0xb3d7d4ec, 0x2338630c, 0xc586b71d,
+    0x5059c8b4, 0x06d5631f, 0x118f86dc, 0xcf987a38, 0xa7c83758, 0xa8d4c9f6, 0x6fc0f7a0, 0xfb47139e,
+    0x652a142b, 0x153e9c74, 0x59e2776c, 0xfc3fba86, 0x6e5591b2, 0x0acdaf9b, 0x0dbdf8e7, 0x2e75ff97,
+    0x3561710f, 0x2b88d680, 0x402bc1c6, 0x73f836d9, 0xd5d76fc8, 0x37504d2c, 0x6329903e, 0xbf0b8054,
+    0xf99d46d2, 0x88fd4abc, 0x53aac1a4, 0x8922308d, 0x5b7c4b80, 0xcedb0adf, 0xd7d9966e, 0x5957c3ac,
+    0x50bbb03e, 0x2d438d0d, 0x28c4a445, 0x4dfbd70e, 0xa78d8ae4, 0x6fdd63b3, 0xab450b65, 0xa4a036b3,
+    0x4c131599, 0x1031fdcb, 0x5decbfbc, 0x3507c4a5, 0xcf17a9ad, 0x1e97b2fd, 0xa150f76c, 0x553908a5,
+    0x8d79c1f9, 0xdc27e983, 0xecebf3df, 0x104fb479, 0xa00c31d3, 0xab95e784, 0x4fdf58bb, 0x47d94006,
+    0xf63f9ed2, 0xfb4a31c8, 0xf6ed3c40, 0x73850a88, 0x6cd6c77a, 0xf6e5a866, 0xa46496eb, 0xd2c36dfc,
+    0x63776c5e, 0xcf8e1dcd, 0x06677391, 0x16395154, 0x11567afc, 0x1497ce70, 0xc6feedea, 0x37af9d3a,
+    0xcab6fcfb, 0x9ec240af, 0xb025ed44, 0x6510f857, 0xf96f1c9d, 0x956ed5c8, 0x89160a03, 0x1ddf2cd3,
+    0x24370e0f, 0x8cff9578, 0x59517019, 0x1f79a538, 0x0a015540, 0xded52423, 0xa49e8db4, 0x45900f39,
+    0xa6f7d2f8, 0x3d3b0417, 0xf6f0f5b6, 0x7c26fee4, 0x35d73909, 0x3ca4accf, 0x3284bfda, 0xf1d16612,
+    0x4debd4b3, 0xcb2ea228, 0x6221d298, 0x4a523d57, 0xffbb2800, 0xfb866f9e, 0xccc2280e, 0x37c7ded0,
+    0x0cc46033, 0xb7f7b402, 0x84b61e6b, 0x75212f05, 0x59ac72da, 0x37fb55f1, 0x6ce05c2d, 0x8b885d1a,
+    0x7ebbed00, 0xcf78b564, 0xd33e488b, 0xbd713fd1, 0xfd0bf750, 0x856cbba9, 0xdc4cf2d7, 0x86c67892,
+    0xd2bb809f, 0xe0f5f352, 0xbb3a8915, 0x32d9bc42, 0xace55f2b, 0x7e6b25b5, 0xbfd42d8f, 0xdbe52026,
+    0xe99095a5, 0x269dcde2, 0x4bdc2147, 0x47b3906d, 0x64b3e951, 0xbb592a9c, 0x812ca148, 0x2bae3962,
+    0x02d6a1c9, 0x50daf808, 0x98a80834, 0xe30d82fd, 0x60f3236e, 0xc4847d22, 0x78958887, 0x20a3ab09,
+    0x6d371ba0, 0xf0fe358b, 0x90ec2751, 0xa390bf0d, 0x93f541b1, 0x78a2aaf8, 0xe3c4a378, 0x1cdf50fd,
+    0x06832a9e, 0xf8a88348, 0xad825a9d, 0x5ad2c450, 0x2c78cb40, 0x94dc22de, 0xc01e5413, 0x82219435,
+    0x35bb7d0c, 0x1109c0f3, 0xaf164217, 0xd452987d, 0x42edb34c, 0xa7c9531d, 0x6a8dda96, 0x0660eb2a,
+    0x6774d850, 0x6780be28, 0xecefcca0, 0xa84fa773, 0x967c6fa7, 0x181fc2c3, 0x46d7cd9f, 0xe3cf24f3,
+    0x00000000,
+    0x5fe37b39, 0xb4cd96c5, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000383123885216472214589586756787577295904684780545900544 */
+  { 0x00000000,
+    0x1a80e400, 0x36b8f6f1, 0x23627a17, 0xff25081b, 0xa5482af9, 0x03282b4b, 0x8869cdf7, 0x885838e4,
+    0xb183e855, 0xe3bc1077, 0x453e14c7, 0xfc7bed6b, 0xd707b934, 0x05e32448, 0xa8525095, 0xcbcd99f4,
+    0x528eacc8, 0x8c16fb6b, 0x0c06edd1, 0x23914b1e, 0xde54cbfc, 0x530a16e1, 0xe2625d75, 0x1d79fc7b,
+    0x74c589b4, 0x6cb8e666, 0x57f1a878, 0xc75bcb38, 0xd8cdbefa, 0xc3915dcc, 0x5d6afa76, 0x82ffc0e8,
+    0x954d6af3, 0xa4dab366, 0xe8416191, 0xf6437f2b, 0xebf3d1ae, 0x0cc258e1, 0x7b802689, 0xe6a02b40,
+    0x24930e24, 0xfa597456, 0x4bd24612, 0xbbe7eb6e, 0x4ab8d966, 0x772cf878, 0xf8ef620a, 0x83bd458a,
+    0xc235a61c, 0x6ea2098b, 0x7adc11d9, 0x6555efe6, 0x2efdad1c, 0x98d1fa66, 0xfb642fc8, 0xac0a30c7,
+    0xbad4c3a4, 0xe340ef43, 0x129f0560, 0x2381a80d, 0x493fc9bc, 0x3b0f6737, 0x3a30f82a, 0xa117e325,
+    0x241b046b, 0xd2c76d79, 0x7c9a4594, 0x113cbd03, 0x94c392e9, 0x61fadec9, 0x4ff2937c, 0xf3243f5d,
+    0x3a07228e, 0x0678ed9d, 0x778ad604, 0xa29d7107, 0xa99255ce, 0xc519100a, 0xb229fd3d, 0x052625d7,
+    0x5cdb4eef, 0x4b8d5bfd, 0x1b193b7e, 0xca352a9e, 0x479e7daf, 0x96db466a, 0x47205fff, 0xeb24b033,
+    0xe340e49d, 0x27704b77, 0x50730139, 0x6111dab2, 0x51dced49, 0xdc627629, 0xfec6c73b, 0x9f8f59e9,
+    0x56cfa9a0, 0xdf5124aa, 0x0c391ab4, 0xe3682184, 0x6644e540, 0x60312bf5, 0x874bf4d3, 0x1aff1227,
+    0x84bba199, 0x5575f61a, 0x8d4f7472, 0x857fc82e, 0xb02b709d, 0xacf3c039, 0x4a7e1b31, 0xa1ca9b23,
+    0xca8fa8d4, 0x810bf136, 0x732960a4, 0x736ad216, 0x84b0d671, 0x2502e35b, 0x0f9d1c49, 0x024d62f1,
+    0x78ad0619, 0xa8ac40be, 0x05aecfcd, 0xba0901b9, 0xc27b5c26, 0x176d8f9a, 0xb8abb220, 0x9b2055d5,
+    0xe593de00, 0xd842ec40, 0x19b5efa4, 0xded3656f, 0x8f98b900, 0x00ed433e, 0x528f808b, 0xe85df002,
+    0x21d55e81, 0x920cf1fb, 0xb32561f4, 0x409545a4, 0x35213aa6, 0x4b9cb3d7, 0xdd4dbe23, 0x04a841fa,
+    0xdc29a3d4, 0x007984ee, 0xd647193f, 0x2e54c6b4, 0x2bab9bc0, 0x18aa69c5, 0xd4a03508, 0xc23fc9b0,
+    0xf7800b52, 0x326ea205, 0x74d7edeb, 0x87795535, 0xa0848d26, 0x58979a38, 0x65b550f1, 0xe07d9bdd,
+    0xe622fffd, 0xe74fb7fc, 0x68df5916, 0x5a763a58, 0xc594fb8d, 0xb2f6be3a, 0x344c5503, 0xc2a19b34,
+    0x3229dd82, 0x019ee558, 0x6acc109a, 0x7509d6c6, 0x09fa8893, 0xf7e6d382, 0xb4ea9ed3, 0x52105fe2,
+    0x22b666c3, 0x58653497, 0x4bebe5bb, 0x9abb6d2d, 0x422669d6, 0x1ad82044, 0x00004004, 0x5715703a,
+    0xd33ad3fd, 0x0ba6a9c1, 0x815bf182, 0xa9e1e1b5, 0xacc29427, 0xe0449151, 0x98cc0ded, 0x5df7bac2,
+    0x247a7938, 0x6a1f5602, 0x8e74e9dd, 0x48390932, 0x01e75e4e, 0xe25f8fd3, 0x57e0d78a, 0x3ed35f14,
+    0x0de0c654, 0x74262702, 0x2e79298f, 0xd5cea0e5, 0x94581b7a, 0x0d427ed7, 0x8d2192bf, 0x1ddbd85c,
+    0x13945187, 0xf4305a20, 0x37510aff, 0x4f711df0, 0xef0144ce, 0xa83edac5, 0xb8527ec0, 0x2e621d1b,
+    0xbcc4fc84, 0xf56627a7, 0xe347594f, 0x5acd848b, 0x03e487a0, 0xb9ce3760, 0x399d3cc9, 0x03a4fde4,
+    0x92ea0cc0, 0xbdc003a3, 0x7ad269f1, 0x7a9e3070, 0x42b5dd22, 0x0d1c5b19, 0x5aaa18e9, 0xd4821f2a,
+    0xb0a05edd, 0x0131c804, 0x9d32b80b, 0xe8f7f0f5, 0x398ded90, 0x00bce308, 0xcaf565e6, 0x0526aeb2,
+    0xc9081cc6, 0xb5ed8629, 0x60a87b65, 0x533719dd, 0x7a2f633d, 0x2fd8bf6a, 0x9b5e653e, 0xcafee7b4,
+    0xaf632b13, 0xa4142fb6, 0x035cf8b6, 0x878502d9, 0x24d06567, 0x1a6b5df3, 0xc6590857, 0x43c7c81a,
+    0xd51c1603, 0xcacbfbea, 0x450b4f54, 0x1e80c1cb, 0x92beb763, 0x824bdf46, 0xd7b8d4f0, 0x9da7197f,
+    0xea5bb3c9, 0xb97da7e1, 0xb4913829, 0x6b0f640b, 0x1081dd54, 0xb1768de1, 0x87db5677, 0x483d2ff8,
+    0xe74001d9, 0x91f83963, 0x55c8fb8c, 0xfcff7e26, 0x491dec05, 0xe1ced642, 0x58b98dfe, 0x81727814,
+    0x38a3e3c7, 0x0b43e386, 0xd3954317, 0xc8f75e56, 0x7162e81c, 0xbe47043f, 0x1df9b7f2, 0xd194a985,
+    0x1eec253e, 0x5bc582cd, 0xc7c9e932, 0x8f3a28a6, 0x354c6051, 0xe54bd94d, 0xee534e84, 0x7fe7cc5f,
+    0x9e0d069a, 0xbf23218e, 0x70f136bd, 0x0ef4c89b, 0x62bdbbfd, 0xca6daf72, 0x28069b3a, 0xd902fef9,
+    0x725dd01f, 0x9989db71, 0x77d11fa6, 0x043ebce3, 0x7c22a39b, 0xc9a08bc6, 0xe308ecc5, 0x2ac987b0,
+    0xe3c2ae54, 0x0c6bda78, 0x09ebd812, 0xb688600f, 0x18d8cc84, 0xf6332be8, 0xb87134be, 0x0bbb7158,
+    0x5aa6e39b, 0x1b39ce3a, 0x302542e0, 0x903df8f3, 0x4c23da7d, 0xb3d9b7b5, 0x10f44b7d, 0xe7468cc7,
+    0xeb0cf73d, 0x5f937367, 0xf8da17f5, 0x63399c7c, 0x70d09f8e, 0x7d330f28, 0x6fb2414f, 0xa7978481,
+    0xddc12ecc, 0x830d4412, 0x8a1831b4, 0x44f0496d, 0xce7edf28, 0xf660a1c5, 0xd712f552, 0x7d926c53,
+    0x10dfd3a4, 0xfc1a77dd, 0x055b1aa3, 0x5d5e402d, 0x9a850d5f, 0x3a8273f0, 0xe626e1f7, 0xe66befbe,
+    0x757553b5, 0xdcd38988, 0x03f8e8e2, 0x4a75d6f3, 0xd10f89dc, 0xb92f36ea, 0xafcfda88, 0xa5dc14ee,
+    0x9be5f838, 0x9a004171, 0x6e31d979, 0xcb8e4d4e, 0x3e03f9de, 0xaf18aac2, 0xf1a05495, 0x147220bb,
+    0x70d8f756, 0x0cd4cb49, 0x37c4959e, 0x015d177d, 0x95eb6977, 0x99501329, 0xa2f0d994, 0x78ea0e2d,
+    0xb3e5e363, 0x6df11566, 0xffd96c8e, 0x1949c64b, 0xdc8a47c6, 0xe2ae2f11, 0x72daea7e, 0x1f67ef2d,
+    0x40094366, 0x3854f515, 0x91e4ee9d, 0x4a4d37e7, 0x83ed746a, 0x0acbd599, 0x352b9152, 0x4ecbaf8c,
+    0xf4438616, 0xc80fca02, 0x74afe528, 0xc928cb31, 0xacc378ed, 0xec88ef71, 0x39327350, 0xcb576bc1,
+    0x10eec1a1, 0x8a655672, 0xfbefb5cc, 0x12759167, 0xb82cdae4, 0xac63188d, 0xa3985ab4, 0x414f6002,
+    0x94daedc2, 0xd9065742, 0x5b813617, 0xb354a5a5, 0x79204dfa, 0x3c6eee96, 0x43bbc87b, 0xd31eff24,
+    0x93e6b6d5, 0x43ee5c6e, 0x001651e0, 0xcaa98f19, 0x41cded34, 0x83656bb6, 0xadaa6d7a, 0x9547f548,
+    0x4e759f63, 0x7b646c56, 0xb84378ea, 0xd6b6b8a4, 0x347e236b, 0x1935b489, 0x67ccae6e, 0x28573589,
+    0xe71a1e15, 0x43a85bf4, 0x180fb38c, 0x97e7a5ab, 0x3fb67866, 0x5c5cd91c, 0xc1699c9b, 0x5568a9ee,
+    0xfde18d8e, 0x3ae3ab2e, 0xf9f27a92, 0x371fbafb, 0x9486d278, 0x0fda3c29, 0x11076770, 0x1bdc1825,
+    0x8b29e48c, 0x9566119f, 0xfac07d3f, 0x3f7d165f, 0x20b0a863, 0x56b4f98f, 0x174d13ba, 0x96bfdd29,
+    0x63b2001e, 0xf0016fdf, 0xe01616c0, 0xb68f7e9f, 0x18e7ed78, 0x2a9018e4, 0x35fb352c, 0xb3dd87ae,
+    0x1a92f382, 0x7af9249e, 0xd235d075, 0x4d7eaaa1, 0x6b15cbc9, 0xa8a8da9d, 0xf90e396a, 0xc00a9970,
+    0xf5bd86a2, 0x1c9972a0, 0xf61e5959, 0x8960371e, 0x5f782ac2, 0x9cef917d, 0x07ee2a31, 0x6e7f37cb,
+    0xcc99aff3, 0x5380b518, 0x3be47181, 0x6265f62f, 0xa0d5ba6d, 0x0287baa5, 0xf529e5e2, 0xb89f3dbe,
+    0x9359165c, 0xdc5531ae, 0x3ef1c3a3, 0xd561756a, 0xd2b78ec6, 0xe7e88b29, 0xefa1ed3d, 0xca94af36,
+    0x44be14ce, 0x261a90e7, 0x6379defa, 0xb64c2e0b, 0x0ffdaeb3, 0xd4dd0363, 0xd4bbc1bd, 0x5839ab79,
+    0xfce3818e, 0x102df401, 0xff12b127, 0x34030a1e, 0x41bf5ec9, 0x493b6fe4, 0x9c0b577f, 0x2c594252,
+    0x0a01ae13, 0x06d9d960, 0xa91a91df, 0x3b96a9c5, 0xf0068184, 0xc7fe7b55, 0x3ba908f7, 0xf8fb1462,
+    0xe32f8e1f, 0xbab02b12, 0xb99462b8, 0x76b00c4e, 0x8eb185a8, 0x13c89270, 0x2cc76d32, 0xd6ecd22a,
+    0x0b031c61, 0xa9abe216, 0xed99478d, 0x944cbf60, 0xbe612161, 0x31f9bd82, 0x17095c7d, 0x063c40ce,
+    0x62cd959b, 0xbc52d44b, 0x8b98c331, 0x47128978, 0x49cc9515, 0x82102872, 0x8c484ab8, 0xebbede24,
+    0x5fbab10f, 0x83c21c3c, 0x1d762c69, 0x5bb4297b, 0x1c5d527c, 0x20e1c5a3, 0xf26c899a, 0x6836e593,
+    0x64e7c18e, 0xcd1959ad, 0x4ba444da, 0x69e53ed4, 0x2418d913, 0xf406feac, 0xdec4673d, 0x742bd13e,
+    0xec3f3b18, 0x305d4b80, 0x94a9ac2a, 0x89c18070, 0x286498ca, 0x213a5fe5, 0x248e9887, 0x2b4730a8,
+    0x7d77b07a, 0xc2118ee8, 0x8f943eef, 0x6f65a1fe, 0x511992c1, 0x14b86d8b, 0xcb4376d7, 0x5249c5bf,
+    0xbe32a2ea, 0x0f11702d, 0xb164fc55, 0x5766bf1a, 0x490af0f7, 0x96e3e449, 0x90b5f660, 0xde81b580,
+    0x94187075, 0x19e7f337, 0x9d1d4cf8, 0x482d52d9, 0xbf4800c2, 0x93b9a1b9, 0xad5f1968, 0x640fdb86,
+    0x61070fdb, 0x5eef7503, 0x3eb889b5, 0x477bc310, 0xd5fec972, 0x51d8e517, 0xc9d7cd23, 0xda6665d6,
+    0x5e03b7c3, 0xfdc8992e, 0x65db2c50, 0x81278d5f, 0xa65b4e7b, 0x80b5f70f, 0x4a6c32d5, 0x698f8bbb,
+    0xde4ebd0d, 0xbfff72b5, 0xf8eefe72, 0x825d40ca, 0xf74fd389, 0x6106c277, 0x9e657255, 0xbe8f6fe7,
+    0x872fb396, 0x249d9601, 0xed6b9ce7, 0x5e101809, 0x84c3ef41, 0x5059c619, 0x8080c5d2, 0x61d66cef,
+    0x996518b2, 0xaaaef7a3, 0x5be3ecd1, 0xab01e0e1, 0xdefe446d, 0xcfe834af, 0xf73c442b, 0xc5e3a51e,
+    0x8ff58f3b, 0x118abff9, 0x1244d84d, 0xbf8d360f, 0x6060224e, 0x907c4ba9, 0xa0984fec, 0xba2706a5,
+    0xdfd0ceeb, 0xc21c2291, 0xb3b8c4fc, 0x30d3a7e8, 0x60023b3f, 0x8c89093a, 0xcc1011b6, 0x16e1ef01,
+    0xc4f8113a, 0xa6d05cf0, 0x31d4c334, 0xab5598a1, 0x259ef8f9, 0x877bf147, 0x48a4ae15, 0xe164a8f7,
+    0xbd5b969e, 0x43d75867, 0xcd9f82ca, 0x39c6eaa0, 0xabbae1de, 0xdda261ed, 0xeb4bc5c4, 0x679f4f11,
+    0x207b98cc, 0xc05cf403, 0xf2fc2403, 0xda4c5797, 0x8be3ef5e, 0xa32d14bf, 0x8da72fe3, 0xd155149d,
+    0x0bdb5c99, 0x4f45b156, 0x33afc33b, 0x9f2aace3, 0x816df529, 0x2d0cc342, 0x959a3253, 0x2f3109f6,
+    0x51b21575, 0x6aeeecca, 0x14e63a21, 0xac1f5682, 0xdf5dfeba, 0x11054397, 0x4266c7b9, 0xaeb01804,
+    0xe6548d7c, 0x009de95d, 0xfd7f1933, 0x42b8928a, 0xa31b39c8, 0x50fd40ad, 0x767af32d, 0xdbf9c575,
+    0xe326f32f, 0x3066402c, 0xc9cd2828, 0xebbd24d8, 0x00a33c17, 0x397211a5, 0xd59e28b6, 0x0a87e9df,
+    0x109333fa, 0x0089b603, 0xc475149d, 0x66b4ca42, 0xb4ab088f, 0x978ab774, 0x3d5485a2, 0xee2d1a8d,
+    0x7abeb87c, 0x28605d4e, 0xe4ab7ef0, 0x1dc66a6b, 0x48f7b1f3, 0xb0ca7c7c, 0x04a4fcdf, 0x03b53ebe,
+    0xce95c3e1, 0xe11e17e0, 0xc0dd48d7, 0x249ddb4e, 0x2183bf85, 0xb9fdde43, 0x8cab0fe0, 0x75db3e95,
+    0xd4a3d866, 0xc0d4ff8e, 0x1fdc077c, 0xb396ef7a, 0x7b23717a, 0x2039d23a, 0xcfe99a9e, 0x4538b63e,
+    0x86212f27, 0xc230e172, 0x22ff581d, 0x4a940a29, 0x78070e77, 0xced7d1ec, 0x832fd94a, 0x0dfeda46,
+    0x2cf2b599, 0x0141e837, 0xcdbd26f0, 0xf346c290, 0x7be5826e, 0x81dc8a6c, 0x6bb52f20, 0x11b4c1f4,
+    0x9daaf7b7, 0x67ce4eb1, 0x73db0588, 0x06f3e6af, 0x2dc81f38, 0xa27511ff, 0x46672c54, 0xefb1f6e7,
+    0x78fa3f12, 0xeb24c9a4, 0xb245ec43, 0x02e751aa, 0x8ebdcd7e, 0xa6ca1912, 0x6b91f828, 0x7d3b0999,
+    0xaf82295f, 0xafdebb06, 0x301b9ae6, 0xb8f04030, 0x207eff19, 0x95c0cdbd, 0x1549a3c7, 0xe7c5c5b2,
+    0x196e68e6, 0x4415cd2a, 0x809e3513, 0xf290886a, 0x77b8e319, 0xc035cb47, 0x70efd68d, 0x07401839,
+    0x35915339, 0x349aafc4, 0x9bde56bc, 0xe6fd34e9, 0x37f19867, 0x6ec8e1f8, 0xec895e22, 0x5c65de03,
+    0xc49e4760, 0x7b903e56, 0x3c654426, 0x17ec3c72, 0x58053e78, 0x84968fc4, 0x426471c2, 0x1daedd0f,
+    0x9fff90d9, 0x43d8bd87, 0x370216d0, 0x1201df64, 0x1c4208ec, 0xbcf79415, 0x2081b449, 0xb53b552e,
+    0x99060fa8, 0xb129ad40, 0xabea9207, 0x0ed96a75, 0xf943f32b, 0x2ae96ea8, 0xea15f7cc, 0x7a96d29e,
+    0x1fbe9dcb, 0x3d36182b, 0x5b9b88ae, 0x73236cd9, 0xb2163985, 0x20f00fff, 0x0d599e38, 0x23fe2915,
+    0x55b9b539, 0xdd1ce494, 0x8072525b, 0x04b8031b, 0x9c5bf92c, 0x14b9fe97, 0x507d596d, 0xe44d3c44,
+    0x078ac76b, 0x8c122af6, 0xf81eb654, 0x4b9ca9df, 0x253b8698, 0xf7384152, 0xbe0dcad6, 0x6a8f529c,
+    0x55ec3f9c, 0xcdbff11d, 0xbc73756d, 0xebc57737, 0x90330339, 0xae3b1b8e, 0x85753933, 0x847beca4,
+    0x2394f607, 0x54b32fec, 0x57ad5b51, 0x0410fb9b, 0x3e5a5f31, 0x847040d6, 0xa767bbbc, 0xd4daf2f4,
+    0x3948d20d, 0xd9c0defe, 0x1135aba0, 0x98e9d078, 0xcf8d48d5, 0x250f8a8c, 0xdcd460bd, 0xb1424c7a,
+    0xa28c4626, 0xb6729387, 0x51fa0dbc, 0x2f8ca991, 0xb6ed1532, 0x31f63c31, 0x67c4f128, 0x1b22b006,
+    0x20679d9b, 0xfdefcbc2, 0x7d8a566a, 0x5dc12180, 0x13cf6b02, 0x26fa16aa, 0xfe3c840a, 0x8647c7cd,
+    0x08f36d2a, 0x82e1d196, 0xefbda971, 0x7af317d9, 0x2b9016cb, 0x5c6a9031, 0xbf8b1028, 0x694f3aed,
+    0xd0d8b382, 0xbeb87f92, 0x11a2f4f6, 0x8e764488, 0xcd4b9e84, 0xab2296e8, 0xc04257bb, 0x6a3d77a2,
+    0x7a688fb9, 0x7f768523, 0x06ed267f, 0xebc67c48, 0x98a85fa1, 0x6fd7878e, 0x2948118f, 0x1845a563,
+    0x7a999c3c, 0x2c25ad43, 0xce5b2520, 0x2b6a360e, 0xdb26327f, 0xca646737, 0xf69451f5, 0xf16073f2,
+    0xaef9a3d3, 0x4a4e8e3f, 0x720310f4, 0xd9b2e299, 0x233efe18, 0x36089f46, 0x98aedf97, 0x7244a484,
+    0x7dd0b560, 0xed8a2b20, 0x9ece571b, 0xd4cad7c9, 0x537bea4c, 0x9b7d2049, 0x385909a7, 0x1f3d125b,
+    0x1f2fe56d, 0xc93ab145, 0xd8f55b02, 0x49c6e541, 0x08e6dbc6, 0x4eaf5337, 0x7fa037b5, 0x072eb01d,
+    0x509e4587, 0x4c388dfc, 0x83d9cdf0, 0x55960220, 0x806a25b0, 0x82cc7994, 0x5ec57cbd, 0xa622b4b7,
+    0xbd8b0c28, 0x0010173f, 0xd69ea794, 0xadd923d4, 0x64d84fd6, 0xd3de201e, 0x2978bc60, 0x19552fac,
+    0xcbb0a580, 0xab20b443, 0x7d833aeb, 0x75fb8f73, 0xd25acb81, 0xc9032b8c, 0xdca27685, 0x83138c6b,
+    0x947fcd04, 0x4aae5911, 0x3d4fbd7e, 0xb006192a, 0x52b9c3a7, 0xa431f682, 0xcf9d3650, 0xa0616441,
+    0x28472c4e, 0x93d7fe73, 0x168965aa, 0xf9108321, 0x78489556, 0x467aada4, 0xa911712d, 0x34c4f2a5,
+    0x33cca684, 0xe8bcfb40, 0xd6326685, 0x997821d2, 0xf025c078, 0x77ce73b5, 0xf6866e5c, 0xf0f92e69,
+    0x945ff9d7, 0xdadfea93, 0x2e8d1421, 0x675fa67b, 0xe38ede71, 0x00cba574, 0xb7be5383, 0x8bca6859,
+    0x069f6782, 0x83b2bb3d, 0x7c1df561, 0xd830e300, 0x1117db9f, 0x1a9c486d, 0x1c3ff065, 0xa57e836d,
+    0x8878b792, 0x98bed459, 0x0f120d74, 0x6a4640ca, 0xd513a194, 0xd485d87d, 0x457b6efe, 0xaac30174,
+    0x00000000,
+    0xaff1bd9c, 0xda66cb62, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000191561942608236107294793378393788647952342390272950272 */
+  { 0x00000000,
+    0xb202da70, 0xadb2cc8a, 0x2229474e, 0x90c24644, 0xc5775e76, 0xf5d553e5, 0xe818f68d, 0xee55aaad,
+    0x554cc800, 0xb1ec77de, 0x6128e815, 0x19d092a2, 0x831e9f1c, 0x172cc14c, 0x793c2e84, 0xd2b6755b,
+    0x79a50c31, 0xadaff4fd, 0xd6c6854e, 0xec0d0cfa, 0x68e5689b, 0x1dad2f3e, 0x6fcac850, 0x605a256b,
+    0x8faa6a21, 0x643fade1, 0xde5c6c6a, 0x11be828f, 0xcfa2410e, 0x740366ef, 0xaa675af8, 0x935eb586,
+    0x13fe6334, 0xe9535666, 0xf50f3473, 0x37839f5f, 0x2a46ed23, 0x55e7c397, 0x82ffd4f7, 0x89cb3efd,
+    0x2bdb603c, 0x19d7eadf, 0x821c329c, 0x86eeda51, 0x16c068cd, 0x5f759db7, 0x4838486b, 0x57418a27,
+    0xc91848fa, 0xb4627c20, 0xec3a2992, 0x03377b6c, 0x51f4a795, 0xc0654d0f, 0x324d9750, 0x63bf9b90,
+    0x596edff0, 0xd377154d, 0x65416f31, 0xc63f9d0b, 0x0a77c666, 0x094d9821, 0x659af427, 0xafd9eec8,
+    0xce6c4296, 0xb18776ec, 0xb27b6622, 0x13c177c2, 0x10f56022, 0x38715fc8, 0x682f9dd3, 0x70e843ae,
+    0xf0fa3c7f, 0x3244d47e, 0x0b45a9fe, 0xe2392a1f, 0xfe459ffc, 0x162a9af7, 0x9ff7e6fb, 0x548c403e,
+    0x6b7ba812, 0x8b467546, 0xe17b9837, 0xc95a7eba, 0x3dd7ac78, 0x94c71fe1, 0x5614754d, 0xb1643af4,
+    0x48017b3b, 0xf7fce29e, 0x16015b91, 0x5c6f0024, 0x5332c658, 0xb602cae0, 0xea06e695, 0xc19bed13,
+    0xf7ac90ce, 0xd485f0ad, 0x37c46178, 0x0fd80e20, 0xc787348d, 0xd93cd27d, 0xb3c18140, 0x2945f096,
+    0xbaec9bc9, 0x5acfd160, 0x6b8045da, 0xee53eb3a, 0xa9eceb0a, 0x79f4c774, 0x16e30b1f, 0xa87578d9,
+    0x6e0e9bbf, 0x4f6be865, 0xba65f02e, 0x539adebf, 0xf24e6405, 0x015c4c3f, 0x7ef75d53, 0x97a00765,
+    0x1cf922d8, 0x089394eb, 0x9b51b15e, 0xd7be28da, 0x36eff32d, 0x88e40081, 0x6dc76517, 0x307e7f10,
+    0xc7c47685, 0xe77ddbf6, 0xd820d8a7, 0x620f5e0c, 0x54ffd4ac, 0xe3f874a0, 0x810575ca, 0x082d7455,
+    0x1e5a9658, 0xa8ae75cc, 0x24638f5a, 0x39f591cf, 0xea4b61cb, 0x755f5cbb, 0xd0158369, 0xa3e64ff0,
+    0x84d7ee79, 0x9942e18f, 0x3855f84e, 0xcff71a94, 0x63746ca3, 0xe56d9adc, 0x9286f39f, 0xd476b581,
+    0x8214dfb6, 0xb390dd36, 0x483c76b5, 0x4f00a77b, 0x29b5855e, 0x52f0c7bd, 0xf586224e, 0xb75ec947,
+    0x0d933009, 0x0291f096, 0x6857f309, 0xbe402bb1, 0x5d09d0d5, 0x87d19efe, 0x67e0dcc0, 0x598cebb9,
+    0x888f39c6, 0xf3c4a0f7, 0xbc6481cc, 0xafa07859, 0xb3231304, 0xfa11c738, 0xdb017d13, 0x8e278d66,
+    0x287ea4de, 0x1adc98bc, 0x1095a868, 0x46e44981, 0x62093111, 0x15e1efc1, 0x9542327f, 0x432a00b5,
+    0xb252d91b, 0x19178fd7, 0x700589e3, 0xef3f4393, 0xafe2780c, 0xd9ac9999, 0x5a50e117, 0x4544d530,
+    0xa007f5f5, 0x38c4cd52, 0xe83615b8, 0xc7db5274, 0x98b3b695, 0x12e635a6, 0x0c67c6b5, 0x38378a21,
+    0xb46819b4, 0xfca01fab, 0xe3df5113, 0x3c8d395d, 0x7952ce95, 0x3a2e57b5, 0x489be714, 0x560d0fcf,
+    0x4881cae5, 0xebcdee7b, 0x662cfbce, 0xaba94c1f, 0x80c2f080, 0xcf167911, 0x51e97184, 0x7b1ea32d,
+    0x8799a7c3, 0xf4fa57ef, 0x9d519f6d, 0xf0045e6d, 0x288d1c18, 0xfbe215ae, 0x40b8878a, 0x2d1db3d6,
+    0x07ca8a77, 0x889ea578, 0xbc54584b, 0x6069e476, 0xe12fde87, 0x6d2d8e08, 0xfa352fce, 0x74245676,
+    0x5924b457, 0x6800b4f5, 0x65c101a5, 0xb5cb437f, 0x79350ff6, 0xcb84d4d7, 0x4df428ea, 0xf18f038c,
+    0xe8c0f331, 0xce34fcd5, 0xa419d519, 0x17fc9df4, 0x0a26a33f, 0xba8900a7, 0x369baf7f, 0x8c904445,
+    0x1ea6a2f2, 0x36cdfd6b, 0x73762952, 0xd296db78, 0xe27a63fb, 0x0e682982, 0xb10e0a11, 0x5c3c8631,
+    0x41b3ec07, 0x77123760, 0x2db275f8, 0x058dfb45, 0xedcad3c2, 0x155ea2f5, 0x644b16bd, 0x6cbe725f,
+    0xc5298bbe, 0x6d5c0e27, 0x94d83eac, 0x7104dca4, 0x9f201e6b, 0x6a05ca48, 0x38e342a8, 0x1bcd3c34,
+    0x293b91e1, 0x47b28646, 0x4ca33584, 0x4457035c, 0x5dfc45f7, 0x9fe1351c, 0x2e3b6fb1, 0xa2d0014a,
+    0x4af83ae2, 0xb35595c1, 0xf496bfb7, 0x4a253e80, 0x9332589c, 0x7fd3140c, 0xe402e1b1, 0x7f95ea4d,
+    0xdfc40925, 0xa4386f9d, 0x7966d2d1, 0xef267323, 0x116b81bb, 0x91a30a31, 0x93c29e69, 0x1ecb1d67,
+    0xe223860e, 0xe83682b1, 0x6f0edd07, 0x8e2cd5a2, 0x9368d811, 0x188f1514, 0x2b0fb99a, 0xb8f5ecd6,
+    0x0003084f, 0xf621dd50, 0x4e6a7025, 0x1ba09416, 0xa1b93a15, 0x556fcb8b, 0x680bc975, 0x9d9d9eb4,
+    0x4a409c19, 0x605af2b3, 0xc4e4bd25, 0x91d7f053, 0x2e3ad9db, 0x96a89e94, 0xd97e8646, 0x5aabec30,
+    0x53c964a9, 0x60210fab, 0x36256969, 0x9307ea5e, 0x9bd1ccaf, 0x758e8731, 0x8c42f21d, 0x0bd6f024,
+    0xa83efac6, 0x83a0c1a3, 0xe4035bd6, 0x4d27edae, 0x9e67a9ab, 0x0fea1545, 0x08ad2534, 0x946177b4,
+    0x92b5faa1, 0x9f896104, 0xe768ebf0, 0x416326d2, 0x3d3365a4, 0xe5930d19, 0x2914ca40, 0xe6f843f8,
+    0x764a4e28, 0x5f509090, 0x92330dfe, 0x956cf999, 0x6d6d4766, 0x456727e4, 0x7a2d3d78, 0x151e01bd,
+    0xb3c9ac63, 0x1d4dbfd5, 0x49c1ef50, 0xd7707950, 0x8563f4ba, 0x6f20da7c, 0xd3b81283, 0x291f37e2,
+    0x6592700b, 0xe1c7bed2, 0x26613e62, 0xfd71f596, 0x70167ce3, 0x90782bea, 0xed67def4, 0xcf0a3396,
+    0xde8816ed, 0xf1636769, 0x9ccd8330, 0xcd8267cb, 0x0daf42de, 0x360a9adb, 0x07effd80, 0xe372317d,
+    0xd1292120, 0x1f616f30, 0xcda85602, 0x529fa4cb, 0xa0e0466b, 0xc42ed0af, 0x69b7a311, 0x7dc55e60,
+    0x25923c07, 0xf95d06bc, 0xfe0ad5b1, 0x080aba8b, 0x8948d91a, 0xe88505ca, 0xdc0fc6c7, 0x9eeb8a60,
+    0x4acfb0c3, 0xbf683127, 0xff21a29b, 0x9caf1029, 0x081c8313, 0x1ac125a4, 0x510bfc80, 0x242c7709,
+    0x886756ab, 0x9beca222, 0xd61b0361, 0x54cc8bce, 0x75ec42d5, 0x4beacbab, 0xb1d0af9a, 0x5b44e149,
+    0xcc785220, 0x0d1b8065, 0x61114bc8, 0xf6ea3f2b, 0x7747b9f0, 0x84f8d89a, 0xdd4a1a04, 0xb4878e52,
+    0xb5957545, 0x948b37a0, 0xcc355869, 0xb839cbf3, 0xc16183b8, 0x2ed527da, 0x29febd7d, 0x2d7562f0,
+    0x8280d132, 0xf78688cc, 0xaaa5ca7c, 0xd3a352df, 0xbf00e9b4, 0xdf3fdf7c, 0x534d5892, 0x6d51952f,
+    0x82797c63, 0xbc5db2ca, 0xb03fd66d, 0xabbd399b, 0xba63ae00, 0x35840b31, 0xf0495782, 0x7b9ebad8,
+    0x502378ab, 0x040149a6, 0xe98c54df, 0x76bf9ed7, 0x441ae03f, 0x3a72d169, 0xc35ed140, 0x802a2060,
+    0xc7eba154, 0x8572d49c, 0x5cbac2cc, 0x9984d5dd, 0x1366245f, 0x02a32d68, 0x827eee9f, 0x0e89df5e,
+    0xced789d3, 0x555a54f5, 0xd4ff32a1, 0x143a6003, 0xa7473192, 0xc58e111c, 0x5c8dc8c0, 0x480e9cc1,
+    0xf9fde362, 0x79d97f63, 0x460d049a, 0x0b7fdb5f, 0x886051a9, 0x02be31a7, 0xcc5f3976, 0x9184593b,
+    0x649b7a3f, 0x70f7b426, 0xde4abcf6, 0xea597480, 0x73471266, 0x9607eda0, 0x9f15cad6, 0x2c225502,
+    0xb97c2ded, 0xc4bb9afe, 0x0ecec85a, 0x4be4adb5, 0xfa26d9df, 0xc6754898, 0xe32281fb, 0xaec2383c,
+    0x87672296, 0x2af7cba8, 0x81f2baf1, 0x1e492e5c, 0x76fd1129, 0xe56bb934, 0x4ed0135c, 0x2543c462,
+    0xac992b39, 0x7c338e93, 0x595917fd, 0x39f75a70, 0x0e55c121, 0x2111db67, 0x06c6e753, 0x387f53ba,
+    0x03c4d30e, 0x86c8c7b9, 0x1e6eed43, 0x51df0125, 0x2a5ecb2e, 0x72dfcce2, 0xbd162fb9, 0xfb6d3b4d,
+    0x22e7ad22, 0xdad579d2, 0x27232ac3, 0x3d61556a, 0xdef31a03, 0xf9ae97a2, 0xf2492f39, 0x60d024ad,
+    0x3d4d7d0e, 0xfeb225b0, 0xb6009a0c, 0x31344791, 0x78f57285, 0x9afa19b9, 0xb2527b2c, 0x9fa4f66a,
+    0x0e41e804, 0x996a7b6e, 0x70c92200, 0x68167130, 0x00877ab3, 0xa4618909, 0x19accd90, 0x66fb1b06,
+    0x4d1eb362, 0xb346e32a, 0x7cb569d8, 0x80d778c0, 0xe2335877, 0x43d62f59, 0xf74a9b8b, 0xe2147bbe,
+    0x70e05734, 0x4ae0ded3, 0xb8467e3a, 0x2e58bf6a, 0xbc778d98, 0xc9c6c266, 0xd1f8a25a, 0x5c11c3af,
+    0x0d2f5f47, 0xe6e5df67, 0x437c43d0, 0xd181e84e, 0xd4791ef7, 0xe69657c2, 0x08c4ad06, 0xfa386db0,
+    0x402066ed, 0x5106fae4, 0x4deac4da, 0x9bb09cb8, 0xfc2c930b, 0xb0e2eab9, 0x382ace58, 0xac4718b4,
+    0x549aa621, 0x7007154f, 0xc5e1cf3d, 0x3cf72e4b, 0x2b3c20a3, 0xee3f31e8, 0x606a086c, 0xd9747d44,
+    0x0183e3d9, 0xc21d7b9d, 0x12244060, 0xd5c4656f, 0x5720db8b, 0xc681618f, 0xbe3bfc4f, 0xe3ca6d86,
+    0x5788f221, 0xd28db1e3, 0xc067599c, 0xc05f1d6e, 0x286081fc, 0xaf9e9686, 0xa116f5aa, 0xdecc4b3b,
+    0xd4ea08fc, 0xd58ff01e, 0x8dd3e0a3, 0x8564be55, 0x6b1e5e95, 0x644ed097, 0xee4c2b85, 0xa3183ca4,
+    0xec141ce6, 0x29396e34, 0x493d2158, 0x6d994b99, 0xeb8d7d1f, 0x0e015404, 0xbefa8454, 0x8221cce6,
+    0x12c6eee5, 0x5f45f84e, 0x05d37287, 0x099b09be, 0xee38523e, 0xb40dac6e, 0x47eda6ab, 0xafc0770a,
+    0x958fdd8c, 0x1baf85fd, 0x0fa75e78, 0x9ba67e5b, 0xeb04b2bb, 0xd0738c23, 0xed9165e9, 0xe6edba07,
+    0x461bb56d, 0x44d7e47c, 0x55a096ca, 0x62df6f1b, 0x8cb6cbf6, 0xbde6e22d, 0xafcc744e, 0xbf42a578,
+    0x8ab06394, 0x39f1256f, 0x3d0b6698, 0x09fcc35e, 0xc4110b9a, 0xcc7e1c78, 0x1e99178f, 0xc4dbaf18,
+    0x126b31de, 0x3d7f38f8, 0x64520535, 0x02416421, 0x927faa71, 0x63ee03d5, 0x5ca4e7d4, 0xc2150804,
+    0x0b5b2d49, 0x5878d1d1, 0x1dd7f62c, 0x09a1c968, 0x38f42fc4, 0xdd07540f, 0x9c9489b4, 0x5412a9fe,
+    0xf8c2903c, 0xd8ca6da1, 0xd99be36f, 0x3260a92f, 0xc4c5c34e, 0x997ad284, 0x7ae97c7c, 0x7c4e8c7c,
+    0x05cd6e16, 0x122f9dd8, 0xb2ffb4a9, 0xce7d3f02, 0x267297e8, 0x058381dc, 0x16223f4a, 0x3edc5565,
+    0x2d0bd747, 0x22e2e04f, 0xeed97d39, 0x7e445791, 0x26a16efe, 0xf253bd1a, 0xe3800184, 0x8378932c,
+    0x64e27037, 0x355f0005, 0x36f27741, 0x730009d2, 0x4d787796, 0x8222e21c, 0x22c85de5, 0x359eae42,
+    0x8c20e6d2, 0xbc92e7ff, 0x4e7c8fb6, 0xcec966ce, 0xc037f150, 0x05465318, 0xf53d4406, 0x6d8c37ab,
+    0x8bf0d9d8, 0xe5dd147f, 0x9bbbf959, 0xcf390a9c, 0x1b66f912, 0x54b9e015, 0x892c3fd3, 0xb4d90b30,
+    0x197eeb93, 0x4d735b1a, 0x62e912cd, 0xb60b12c5, 0x5db68a7f, 0x277995bf, 0xae7856c1, 0xa2db52c0,
+    0x18014dcb, 0x277d7160, 0xfe616d29, 0x23f3d50f, 0xd284f903, 0x1ab2eed7, 0xfb9122c6, 0xe10981df,
+    0x4c5ef89b, 0xd9a49822, 0x1d8c4f79, 0x776a29fb, 0x88857856, 0x4023a6ca, 0xf16916be, 0xc6da4465,
+    0x1fadd8a5, 0xcd4c8ccb, 0x8add2265, 0x1ca59b0b, 0xfeb72dac, 0xa90dcc91, 0x0ad1d0b0, 0xc4ac79d3,
+    0xb30b3377, 0x790bc791, 0xb5beeafb, 0xa91cf97c, 0x2c845347, 0xf674c344, 0x9458b574, 0x5549c044,
+    0x7604df81, 0x438a398b, 0xea9c132b, 0xbd2931ca, 0xcd80e118, 0xc95a4cd9, 0x6ea0bad3, 0x1e4e3f9f,
+    0x1ab550b6, 0x3e55d890, 0x030ca3e6, 0xcb024abd, 0x0e4e6d76, 0xcc673863, 0x273595bb, 0xd7ce95d7,
+    0x79793044, 0x24e27032, 0x38181e7c, 0xb614ea0b, 0x9b94c4ac, 0xad047a9c, 0xb7f002e8, 0x50fc412b,
+    0xa6540dc9, 0x6c846f69, 0x97ca993c, 0x95dff8d4, 0x51ba6460, 0x4a5a303f, 0xdfbd2cb0, 0x1a780392,
+    0x7539cefe, 0xf2af84df, 0xc35fd4ce, 0x36907496, 0xd5812fe2, 0x28f360a7, 0x5f02f0a7, 0x22219e37,
+    0x5a538e13, 0x8aedff0c, 0x64c44de9, 0xee4aeb68, 0xd8edd9d0, 0x43a7bb32, 0xdcce14b9, 0xcd40e2d7,
+    0x5ffc70d7, 0x19e5712a, 0xd626c9b6, 0x119f0ead, 0xca114db2, 0x3739b057, 0xac84a27a, 0x3328e967,
+    0x1ece7f16, 0x2ef5baf8, 0x46b88de4, 0xb480a807, 0x6fd517b0, 0x3541e726, 0x799732e2, 0x8b7066f8,
+    0x4380c236, 0x6d17a37c, 0xdd120b5e, 0x6c762d0d, 0xd48f54d2, 0xab050c2a, 0x05e28542, 0xd134082c,
+    0x5a5b9147, 0x8cb9d721, 0x6c04c367, 0x0d5fb21d, 0x80d21cc2, 0xb79d8eee, 0x702609a9, 0x77ffd804,
+    0xbf515525, 0x876e65ad, 0x18b99d6b, 0x070f8fff, 0x0ae29878, 0x014a9d38, 0x164fd886, 0xb1313df6,
+    0x6f30dace, 0x1aa1865d, 0x0b849db8, 0x940c30ad, 0x049e740f, 0xf8cfdf6b, 0x38fc6944, 0xc33ee4e8,
+    0x0dedc8f8, 0xb33bddbc, 0x40774ec2, 0xc7f69720, 0x92e86793, 0xebb6fd7c, 0x7b527691, 0x663f568d,
+    0x84fdc6d1, 0x3ed42de4, 0xe79d7c64, 0x855a18f2, 0x42626594, 0x5d3c51f9, 0x10ed73de, 0x78f01a7d,
+    0xded7e56a, 0x87e64f0a, 0x4c44e0ac, 0xd10dea37, 0x953f24bb, 0x38d98dfd, 0x340ce2bb, 0xbb0948ba,
+    0x63600b00, 0xdbc31ac9, 0xf742b0c6, 0x47aa43e0, 0x42fcceda, 0x19a0c52f, 0x658a3702, 0x7e75a477,
+    0x4bf2f7d2, 0x57ff3477, 0x42b902c6, 0x29c912fc, 0xd246151f, 0x4c132032, 0x2bc7c61c, 0x7fa9a5dd,
+    0xadef291e, 0xc8818122, 0x95b4c481, 0xafcba029, 0x7d10c4b7, 0x686057a3, 0xd54da22a, 0x2f392f55,
+    0xe3c3d8f6, 0x5483a1de, 0x611f13d7, 0x9234ce0d, 0x2f1ba75f, 0xd751913a, 0x27ae8550, 0x371d4134,
+    0x68c54aa1, 0x0a98e22e, 0x7b6f2f22, 0xeebef6c6, 0x9441b815, 0x349cb981, 0xf865921a, 0x3e39f4f2,
+    0x3f30992f, 0x1d38fe90, 0xc8b15eaa, 0x4be77077, 0xe535efda, 0x629b4911, 0x815be1bd, 0xf57d3e63,
+    0x0fe450ac, 0x945687a3, 0x788475f7, 0x7042d8df, 0x3eeb8c6c, 0x756f9195, 0x7d7d96b4, 0x3727c8e9,
+    0x60582b4a, 0xac8ca58b, 0x804809fd, 0xaa92a99f, 0x2a3078c3, 0xcfd02e26, 0x54a81248, 0x08b7d16a,
+    0x0b74842a, 0x860758d6, 0x95d608e0, 0xd4abda9d, 0x8d66d805, 0x0c795d3b, 0xdf068289, 0xff901ec8,
+    0xdee8eb8b, 0xbb6010d6, 0x94358313, 0x6e55b7f3, 0xed5b0044, 0xa7d77d6a, 0xa07dc035, 0x9c460343,
+    0x726404fc, 0xa287fd09, 0xb8af9c29, 0x8802d60e, 0xee75f9fa, 0xa75410fa, 0x12cbf4e7, 0x1b408d22,
+    0xf947b107, 0xceaae506, 0xd84df68f, 0x7e7b1e7b, 0x2aa57192, 0x3486f78a, 0x28f3d97d, 0x502c9186,
+    0x9f08dead, 0x3aa84f89, 0x7976d03a, 0x73b1fec4, 0xc255f502, 0x83d7fd32, 0xaf752be5, 0xc933a025,
+    0x46d262a3, 0x34b4a205, 0x18108993, 0x92b1531c, 0xd770d34a, 0x0a4fec76, 0xcbac7705, 0x6e0abeff,
+    0x375601cb, 0x8d9131bf, 0x2f213f90, 0x6d7dc366, 0x6106587d, 0x9b6e841b, 0xc8432879, 0x288a7ce2,
+    0xe562c3a6, 0x82804841, 0x92e1bcf2, 0xfb9893fb, 0xcfbbcdf0, 0x01319c01, 0x52990fc9, 0x5648dbc5,
+    0x917abc17, 0xc3523ff2, 0x2c1426ca, 0x8403af03, 0xb958f43c, 0x12b6e56a, 0x552726a7, 0x4693b4d8,
+    0xb176c7db, 0x821fa873, 0xbea5e5b0, 0x3823bd40, 0x677089a0, 0xfc29efdf, 0x63d8abe3, 0xd114d288,
+    0x00000000,
+    0x57f8decd, 0x6d3365b1, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000095780971304118053647396689196894323976171195136475136 */
+  { 0x00000000,
+    0xdaa2e59f, 0x723c9e53, 0xeb00a56b, 0xb004e9c9, 0x103a4626, 0x5ab440c5, 0xfc931a42, 0xe7bac0f9,
+    0xb9a41bcf, 0xb034fa7c, 0xe74fb650, 0x08308a96, 0x3f1a5e27, 0xda777966, 0x791ebe6c, 0x0d729c78,
+    0x805e64a0, 0x320145d4, 0xe283a477, 0xedde330d, 0xbaa0ab6e, 0x2ba87540, 0x4ffb6c8f, 0xa4a05ed2,
+    0xcd3c6f91, 0xdc4983ec, 0x61ff8ae6, 0xfa36594e, 0xe312d16e, 0x18e69282, 0xbf41bbce, 0x3c80b129,
+    0x0b75d0ca, 0xa4154683, 0xf6ba21b4, 0xacfe2c8c, 0x7a622726, 0x3a4e4d09, 0x0156b65c, 0x6bcd6b2d,
+    0x9caa51b0, 0x523043cb, 0xdd8c7866, 0xe6d14340, 0x79075aa9, 0x85f5d2e4, 0x8abe9acf, 0xb92fb345,
+    0x7ad62079, 0x50fcd897, 0x78add8f5, 0xe0d16a0c, 0xd68976bd, 0x718dea19, 0x1d4ad41e, 0xa632e531,
+    0xd0f7cb4c, 0x883c9294, 0x3a8764cd, 0xe8aeb920, 0x47cbb158, 0x5794430d, 0xa70bb990, 0x01b106f2,
+    0xba950522, 0xfdc2e495, 0x93671662, 0x5b0e5093, 0xcf46e377, 0x7a5e29dd, 0xfc44ffba, 0x5a6e46ee,
+    0x9d399ca3, 0xba3e1be8, 0x14a0fccf, 0x7e449477, 0x790fc7e2, 0x39b79cee, 0xfb6fccd9, 0x02368a8c,
+    0xc8bc7efa, 0x841095fd, 0xa2606b37, 0x38f52a08, 0x322c7d6b, 0x63bafe23, 0x45997c6b, 0x59d96732,
+    0x332730c3, 0x18a300a1, 0x1d36e2ba, 0x709b088f, 0x4d254855, 0x1f74837c, 0x1ba43a5d, 0xfcc3e003,
+    0x18b11f98, 0xd849379a, 0xa2b2cf37, 0x02b2cf19, 0x466a080b, 0x8cc8b369, 0xd6dce5f3, 0xeb170b9a,
+    0x9c164157, 0x36431a6e, 0x9505a088, 0xccf51a59, 0xb964338f, 0x9b130ce1, 0x9fe449b2, 0x800ee061,
+    0x73488d33, 0x46b787de, 0x342371a2, 0x412eff66, 0x7b2cc372, 0x19b23283, 0x15fa48ec, 0x8dcaf80d,
+    0x06bc2570, 0x66be2826, 0xc8d72a93, 0x68a45293, 0x4b5c5efc, 0x4e7c0ae7, 0xb1272ced, 0xc6943331,
+    0x3c22e099, 0xae8c5c4a, 0x9d495308, 0xb1ebbda4, 0x1c82cffe, 0xb3bb8c85, 0x184011e0, 0x219441b0,
+    0x0a34d15d, 0x87ecc83f, 0x41089dda, 0x1dd89ed1, 0x981c237f, 0x394fb081, 0xec420c9a, 0xfb4efeea,
+    0x9e0ce6e7, 0x1d67ddbc, 0x8fc31257, 0xbc0f5f7d, 0x8664a494, 0x63824555, 0x9707349d, 0x62ac5bc1,
+    0xe66f93ab, 0xcfe749d4, 0xc37a806f, 0x8d6bfb87, 0x96a84d8c, 0x9ffe200f, 0x6003ef31, 0xe3a552bd,
+    0x028c0d23, 0x91e9ef07, 0xe72e55ab, 0x439fca3e, 0x3386dba7, 0xd1b8769f, 0x36926efb, 0x2e0ad697,
+    0x400d8412, 0x8aea1726, 0x611b6f97, 0x6e130998, 0xfb4e37bd, 0x540ee041, 0x07b5e0fc, 0x9b95418c,
+    0xe0a7bcd5, 0x3428d25d, 0x7ad04bb7, 0xe85bc42a, 0xd43c4918, 0x088d2a3c, 0x6581ea16, 0x40237499,
+    0x813ea49b, 0x2be7851a, 0x0ae79794, 0xc05c8e75, 0x0b295e0b, 0x6e79f074, 0x2865dbf3, 0x75f4e1f5,
+    0xb50805e9, 0xa171c791, 0x703251d0, 0xdf5b63c0, 0x1ea893e3, 0x73787845, 0x8fa14187, 0xa976f74a,
+    0x588dc89c, 0x0c8f8825, 0xb2f9ded1, 0x8d0120f3, 0x6d6e350c, 0x96495f95, 0x3cfc1bda, 0x328465a1,
+    0x6180a346, 0xc534a429, 0x41181ab3, 0xd571a920, 0x70038433, 0x05256a6b, 0xc2510ea0, 0xe41a6fd7,
+    0x86657781, 0x61980059, 0x64d8677c, 0x49e7a8e4, 0xa620282b, 0xb4695e45, 0xc336094a, 0x9ec054d8,
+    0x0a8d1afe, 0xdd1e82e2, 0xcdabc79c, 0xa5279ed4, 0xee6cfecf, 0x28a2b459, 0x4871d21f, 0xb70d205e,
+    0xdbbe1dc5, 0x56eb7dbb, 0xe0e61c7e, 0x8956513c, 0x33a6927a, 0xd4698907, 0xa2300592, 0x6723c834,
+    0xe07e6f9b, 0x515ca88c, 0xa879bed9, 0x49d4390b, 0x56a49590, 0x2102d513, 0x65ef0dd4, 0xb9d8a674,
+    0x195daf10, 0xe9361063, 0x491a94e2, 0x9a3e4b8d, 0xef521698, 0x4d87b29e, 0x914b7e7a, 0xb21a5b0d,
+    0xe99b2ca4, 0x2ffcbb31, 0xcfd0286f, 0xf9bffdac, 0x42788978, 0xfa5cdc1e, 0x7b95bf57, 0x4b9f766c,
+    0xeffd69c2, 0xb516409e, 0x03023c2e, 0xbd311b61, 0x032b8444, 0xaf715720, 0xc267e6c7, 0x07aa855f,
+    0x71cc113e, 0x11b9c189, 0x953c0d90, 0x289ddec5, 0x8e5c0f71, 0xc7a8e4bf, 0x61f0aa2d, 0x178cc1d1,
+    0x338d3037, 0x1781cf3a, 0xcfbb2ae6, 0x1e43c7c5, 0x32cd821f, 0x560cba2c, 0xe1e1952e, 0xa54c95d5,
+    0x15c239bc, 0x07a4f11e, 0xb7093d94, 0xa1aa901b, 0xa3591215, 0xf6246194, 0x0e193d9c, 0x8b2e450d,
+    0xd0a9624b, 0x45238057, 0x6bfdbb61, 0x7bfd1b15, 0xc3325a2f, 0x031bbd31, 0x271c3787, 0x18c78b59,
+    0x6e278ac2, 0xd4a6f92c, 0x05d5422e, 0xde408e74, 0x7455c6d7, 0xd28cccb0, 0x1a93a949, 0xb9966eef,
+    0x4a8e7bb8, 0x063eb8e6, 0xc477bcd6, 0xd10008fd, 0x5e09b051, 0x97f18c85, 0x007af553, 0x1f14ce3d,
+    0x49e186ed, 0x504e3fc6, 0x177b9a27, 0x0b18f8d3, 0x62a0db85, 0x524c49a2, 0x2d20b9de, 0x5597788f,
+    0x55c405f0, 0x3cef3abe, 0xb7ea2cc9, 0x687bce74, 0x55dd691c, 0x8b68f767, 0x207cc308, 0x0cee2aba,
+    0xd5fd5904, 0x7cca80b7, 0x8eb3bcbd, 0x3120f1a5, 0xd31cf08b, 0x23b39aaa, 0xaec31ad4, 0xb79b4856,
+    0x5c41f092, 0xbec0fb3c, 0xb1ba9db8, 0x97ffc29b, 0x016fa5b0, 0x1fccf5d3, 0x0ab5c81c, 0xb510a301,
+    0x09f05f46, 0x1f9098e4, 0x4fd4c323, 0xed852a31, 0xcfd832f4, 0xd7eb99e8, 0x4e740ec0, 0x7da3e5c1,
+    0xa613b486, 0xdbd7811c, 0x2d760c85, 0xae2f44d5, 0x54a5a10a, 0xacc97a59, 0x1d577325, 0xf38e0cba,
+    0xb9e628c6, 0xad331662, 0xc60b8bf7, 0x1744e6c7, 0x0e3a1df5, 0x8bc927fb, 0xde4b7941, 0x43d6262d,
+    0xd7b3910a, 0x98f13b91, 0x364855f4, 0xdcb23f98, 0x13843e70, 0x80beacdb, 0x65675132, 0xacd2ee71,
+    0x7efc1ce1, 0x8264b0f3, 0x32ca8259, 0xe2eb52a9, 0x3cee3363, 0xef4df1ea, 0x22fccabc, 0x0c356810,
+    0x135e9cf9, 0x956c8986, 0x4786f100, 0x709a9b80, 0x3812ff97, 0x92050325, 0xecdd8050, 0x8ace192b,
+    0x9c344ed9, 0xbebe654c, 0x63badf20, 0xde1dafad, 0x943b4810, 0x84bc3925, 0x0744141d, 0x2feb0b6a,
+    0x14031859, 0x485e16d8, 0xedaa5ce5, 0x6775e76a, 0x571ee558, 0x98b8affc, 0xcbcd841f, 0x1290dc40,
+    0xce9a1b47, 0xd6fce0d6, 0x14d89165, 0x8192fd6d, 0x28ef3246, 0x738e15b2, 0x0cb21770, 0xeee21785,
+    0xfc5a613a, 0xe5800e91, 0xc2204754, 0xac686cf2, 0xb2b4663a, 0xb08b67e1, 0xcc5a4243, 0xf32b799d,
+    0x712c23e7, 0x21c47b11, 0x68153636, 0x8ce3825a, 0x50fe8679, 0x46057e24, 0x4e59883d, 0x6d0d4004,
+    0xfee63a69, 0x3db99ed2, 0x9dd29b11, 0x2aa15c54, 0x342212b3, 0x3a94c9d9, 0x5cd2408c, 0xf2bde423,
+    0x034e042b, 0x877d2ceb, 0x584c6d3d, 0xa2c17ea8, 0x7119ab71, 0xb365cf54, 0xbf6a6b22, 0x5e34fe54,
+    0xb538b983, 0xd82b9956, 0x5dc734d1, 0x734d41f8, 0xa7ff4d8c, 0xc20860ea, 0x9695579d, 0xf3728560,
+    0xd03aab2f, 0x696fb7e7, 0x8723ed07, 0x389b0728, 0x0b2e93ca, 0x20f433fd, 0xa60a43a4, 0xa904f0dd,
+    0x934e12b4, 0xa3af674e, 0x552a1d68, 0x3a485ea6, 0xff49c18d, 0x6f90f48f, 0x6ae68a1b, 0x88a1209a,
+    0xbb0c4a9c, 0x2a15d36c, 0xb054a81c, 0x18a5cbd8, 0x3d86abaa, 0x3f7c0e7e, 0xb8838544, 0x09463994,
+    0x19e7b00f, 0x19f9869d, 0xaf5de563, 0xe5f99d7e, 0x02a38e8c, 0x3c584914, 0xd2ec75e6, 0x53d1173f,
+    0x46325c35, 0x8ef4ac7d, 0xc2bd7bb5, 0x9026a812, 0x43eeb311, 0xd2909712, 0x48623d3c, 0x8cc8fc5d,
+    0x6a9c337f, 0x950f50b3, 0x38bca13c, 0x47642419, 0x638fd771, 0x1747f931, 0x94f33abb, 0x8ef4adc5,
+    0x282cb037, 0x5a9f5ff4, 0xcccae872, 0x1cef0b27, 0xf3c92670, 0x35474e5b, 0xd9e44a59, 0x08c6ecaa,
+    0xee675914, 0x839371e2, 0x540f46e1, 0xdb60eacf, 0x30648df8, 0xbaaa93ac, 0x16933e6a, 0x41f0a506,
+    0xcf6c56d7, 0x06e0b491, 0x4cee2a62, 0x8af49da0, 0xbcf87253, 0xfb4889c5, 0x43b1707a, 0x78b40ed9,
+    0xeab6fdae, 0x739a42cc, 0x245ecfff, 0xe079aa71, 0x454fc84c, 0xcc3bf769, 0x0fd2a9fd, 0xba3b9e25,
+    0xd5aefe55, 0xdefddc6c, 0x91a04dfb, 0x3790581b, 0x47ab200a, 0x659b764a, 0xf4ee7689, 0x40192415,
+    0x8c33b526, 0x7f4e1789, 0x02fad7ea, 0xcb265a97, 0x4cc49948, 0xbfa6319d, 0xc8cce1e0, 0x2d9a0a50,
+    0x249c5620, 0x2934d996, 0xa7695f6b, 0x21f22494, 0x922be087, 0x55d33e31, 0x89e9c928, 0x6e359501,
+    0x3784d454, 0x2c135a45, 0x46ca2556, 0x0f5bc853, 0x8442f29d, 0xabb74f67, 0xef0c394e, 0x3c520239,
+    0x3c2a6545, 0x01fc5cc2, 0x9f4768a9, 0xa0b3b009, 0x355e26f0, 0x112e2385, 0xd320c224, 0x4cd6d59b,
+    0x04b1b3d0, 0x2f50ffb2, 0xe7c3d208, 0x41cfef68, 0xce944ec5, 0x1f24b50e, 0x21e08591, 0x14738c01,
+    0x5186f16b, 0x62be7b7f, 0x234653cf, 0xf67bd559, 0x95ee10fc, 0x27797622, 0x800de8fb, 0x2de905f2,
+    0x1eedbc10, 0xc1a4d838, 0x2eae2c11, 0x6e6c6d83, 0x88b9384d, 0xb4b86612, 0x3d6f85d2, 0xd575579d,
+    0xb92de070, 0xb733b1ff, 0x6d3b7ed9, 0x3e5c43e0, 0xc243db40, 0x92854a2a, 0xb8a1d172, 0xca91a5d4,
+    0xe7d02c04, 0x5ab81048, 0xdc7deb82, 0x320d8dbe, 0xd372541d, 0xbd3929d5, 0xaa3908e3, 0xed2d8f14,
+    0x24132d9a, 0xd57e83f0, 0xd9207efb, 0x62776b57, 0x41ee6c60, 0x92cdfd6e, 0xe7786b9a, 0xa8f2ffba,
+    0x702ffd2e, 0x9ed56c29, 0xaf58fa5b, 0xc73a1d9c, 0x1db38178, 0x477388e1, 0x5593a5f1, 0x0298d8b0,
+    0x8b7792cf, 0x71c1f278, 0x84f9115a, 0xdf544998, 0xb87c08f9, 0x6a76312d, 0x0e04ce51, 0x82082c2b,
+    0x1c6ddfb5, 0x55a67fb1, 0x89c36034, 0xd486ba7e, 0xe0221993, 0x912e0e44, 0x4739d754, 0xd4215b60,
+    0x1bfd8749, 0x90aa2c11, 0xd658e74d, 0xef58714b, 0x8f53e889, 0x799003d9, 0xe7cac186, 0x1d5816c4,
+    0x8c142896, 0x8a2e5965, 0x2dae8b2c, 0x97033295, 0xf7014c12, 0xfbdbaa13, 0xef63b5f0, 0x3a5f2fa0,
+    0x8b6bb8f0, 0xcc3f1a67, 0x76643b70, 0x63ceb02a, 0x7b3604f4, 0x4fbfc34c, 0x8a4254c8, 0x18d6b225,
+    0x33098b4a, 0xe52b5db3, 0x1cd734fd, 0x260eca36, 0x7506a332, 0xf48a3c23, 0xc748a9ad, 0x32882cf5,
+    0xe3643152, 0x67735a7c, 0x2e6b5e09, 0x2774d8e1, 0x67010f99, 0x7a58122a, 0x63b0f9b5, 0x4a8cf14b,
+    0x9f72f50b, 0xdb22b4d4, 0xf8e51c40, 0x7e73ea05, 0x9bb7e7d5, 0x3f5dab97, 0x3df94cc5, 0x487c1f99,
+    0xa8c480c6, 0xdc3c2ed7, 0x2d680e63, 0x8a8dbc6c, 0x794c40fa, 0x638bd07b, 0x8bd5b87e, 0xe3e1d861,
+    0x23ab544c, 0xe68b401b, 0x0b6d6420, 0x43ba4b63, 0x8ba2b06c, 0x293a5720, 0xe4ebcee2, 0xa55e511d,
+    0x022241f9, 0x26cbc768, 0x5f63582a, 0xcf329c4d, 0xef95fe1a, 0x66fd678a, 0xf6c832cb, 0xdb008430,
+    0x552c1cb0, 0xa7228200, 0xf2526242, 0x9b844d5e, 0xceb52728, 0x616066b4, 0xf496702e, 0xa8ade6b8,
+    0xf2198cde, 0xb8441c3f, 0x7ca93651, 0x45acabe9, 0x4c359056, 0xf5d6bd9d, 0x8a6df797, 0x0ee325fc,
+    0xc3e5df49, 0xc324804e, 0xe7306e03, 0xa5051c36, 0xaa8bcf62, 0x0ab4923d, 0x4686345a, 0x16ecb90a,
+    0x67fd753c, 0x802149a7, 0xef33bfb4, 0x5efebc00, 0x8235b4b0, 0xfac2dac1, 0x1a8380eb, 0xb2677d22,
+    0x6d7fa4c9, 0x1a2166c8, 0xdf53c173, 0x6f02bd67, 0x1c305890, 0xcf7e2238, 0x7a8ffd1b, 0xe7fce015,
+    0x61454a02, 0x7902f912, 0xef3bab0c, 0xbe5c61c5, 0x9e0fda0c, 0x66127b7a, 0x5e3af17f, 0x6ec32952,
+    0x12368bb8, 0x9cfb2de3, 0x591fa69d, 0x7fbdd35d, 0x5b1c4b2a, 0xeec0b69e, 0x1203994e, 0xd0ef1af6,
+    0x1c1af394, 0x541c067f, 0x98d0865f, 0xb5941b2c, 0xd72cb60e, 0x2e290fcf, 0x86b37f5d, 0x4bef068a,
+    0x317c41d5, 0x3442e3ed, 0xf9b32ced, 0x6afbb70d, 0xe91447ee, 0x011bb624, 0x9793a95c, 0xde08f0c1,
+    0xf686b5d1, 0x161069a9, 0xf10a1173, 0xac50b3e5, 0x7c322abb, 0x22cf5317, 0x9e0f5de2, 0x3d4c8c4b,
+    0xe627e2df, 0x2a53a5c1, 0xec6e60c9, 0xc96d2baa, 0x079ecd47, 0x1fdb5d3c, 0x5f7e2ab2, 0xfd592914,
+    0x66a5c1c0, 0x2a391de4, 0x7292364e, 0x736a323e, 0xe8769efb, 0x69e1e524, 0xd1ce60b4, 0xf493740c,
+    0x7dc4b431, 0x7142537c, 0x5c423a55, 0xd8d157c8, 0x7de2dd98, 0xcdd42f22, 0x763842e5, 0xdf43f521,
+    0x607746dc, 0x4a3de5f0, 0xefa4904d, 0x1e7a81d4, 0xdb6c606d, 0xc2c569fb, 0xf7a3ed5b, 0x081bf655,
+    0xe22240fe, 0xb700a881, 0x68eaa2aa, 0x97982872, 0x8670f819, 0xb0007016, 0x2dce788f, 0x3a527ade,
+    0x20f67f49, 0xd2dc393b, 0x14817887, 0xa8887167, 0xd2fa698c, 0x65c6bcc0, 0x141a3e9b, 0x377d5a2c,
+    0xff84eadf, 0xe0430d02, 0xd408a224, 0xf25bfe7c, 0x732c8ff1, 0x1b44d776, 0xb5e86109, 0x7255f08b,
+    0xf8305b11, 0x737090a9, 0xd7eaa20c, 0x3348566a, 0x266fcee2, 0x2071808c, 0xdd8b6952, 0x43c854b1,
+    0x41529903, 0x8c3a3f7a, 0xe162e9e9, 0x286b2f46, 0x8a99d939, 0x3cbf32ad, 0x21fae801, 0x2c0c2d7d,
+    0xbfa8d1b1, 0x3fb23978, 0x47eb951a, 0x49ebce09, 0x04fed518, 0x46bf177a, 0xe762eec1, 0xdd302608,
+    0x60744720, 0x3fa84c72, 0x50af3ab5, 0x496b9318, 0xab186e38, 0x11bbce52, 0xb65855c4, 0x72b031de,
+    0x36b377a3, 0x0a570f12, 0x74a9629d, 0x78bcdc9b, 0xa995c549, 0xcffa28ce, 0x9e3090e6, 0xe46c0dee,
+    0xe2cc20e9, 0x38c11ae4, 0x669728b8, 0xe51386bf, 0x6a99e2dc, 0x42cc9ca3, 0xa47144b5, 0x6c1395ff,
+    0x4e3915c0, 0xfb1ba375, 0x2121d716, 0xf2940aa9, 0xcc9865de, 0xd9144ffd, 0x62cd316c, 0x4ffd1f79,
+    0xd3412e11, 0x16dc296b, 0x4874dacb, 0x41ef0321, 0x29c93fee, 0x6a828eb0, 0xb0f41f6b, 0x05b2ef61,
+    0xa45e1aef, 0x861b7f4f, 0xf34f6bb6, 0xbb4aa633, 0x726fb6e2, 0xd2e5049f, 0x8a1a4135, 0x6965bbe5,
+    0x17e08006, 0xc7d60f3d, 0xee868717, 0xae5018da, 0x3c595064, 0xeff66a1a, 0x0ca0cb23, 0xa635053a,
+    0xd6b48e01, 0x5919c723, 0x15cbe44e, 0x39311c08, 0x9ac97d4a, 0xde40cca1, 0x58203caa, 0xec98f50f,
+    0xd2e79c19, 0x40c55f5d, 0xa9c276b3, 0xc405b070, 0x472c7321, 0x604c6e9c, 0x6c84a5d1, 0x564ceb31,
+    0x99c32c57, 0x997a0d76, 0x34b50d64, 0xfc53f69a, 0x48188171, 0xa80bc948, 0x7d595d90, 0xa2a6ce4a,
+    0x8c7bfa13, 0x1a434933, 0xc6b7cf43, 0xc58c05a0, 0xa110b228, 0x56664019, 0x21c556cc, 0x8d21ea4c,
+    0x14a86843, 0x28a1b95a, 0x10e53056, 0x02e6e582, 0xddc13bdd, 0xc6c6d740, 0x8b009ce6, 0x12d1324e,
+    0xef9f81f4, 0x2f5294a0, 0x4c6da5f4, 0xc1e13a49, 0x16100e2e, 0x4b0a455a, 0xeff6fc94, 0xf83f5a2f,
+    0x4e9d1dfe, 0x9827b99c, 0xaf927c64, 0xa3525f28, 0xdf8f512f, 0x8c81e7f4, 0x5ac29a3c, 0x86dae9aa,
+    0x70c24bbc, 0x2efe9fba, 0x73cef2cc, 0x07087e5c, 0x036e752c, 0x28dc9482, 0x533da8ac, 0xa3979b14,
+    0x00000000,
+    0xabfc6f66, 0xb699b2d8, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000047890485652059026823698344598447161988085597568237568 */
+  { 0x00000000,
+    0x2b5ea0e1, 0x7007bcdb, 0xa9bfcf49, 0x3b0ccc4f, 0x74baff1b, 0x912d28c5, 0xa9f857df, 0x0f14e431,
+    0x906c1fcf, 0x79584b20, 0x327b8b08, 0xdaacbc57, 0xe2ada823, 0xd3c0fbae, 0x53a5521f, 0x0ca611fc,
+    0xdec146a5, 0x918cb436, 0xbd2aa1b2, 0x70050ef2, 0x020d96c9, 0x9794778b, 0x1528748f, 0x06e46251,
+    0xbc6c125b, 0xc99e393f, 0xc2fd094c, 0x6cf10f55, 0x8394cf2c, 0xd366df43, 0x7f2b5204, 0x551f53ed,
+    0xa26483ab, 0x8974fca1, 0x6b39858a, 0x3b3de62b, 0x48da093a, 0xb75d876c, 0x6988deef, 0x78fb643b,
+    0x5088cf89, 0x216375ef, 0xa60c65b4, 0xca0fd5db, 0xe9d80315, 0x27be45d7, 0xd53d1e03, 0xe7433ed9,
+    0x0dc1cd96, 0x10f315d0, 0xa23ad3ff, 0xb18788d1, 0x1a9a8a17, 0x1101df26, 0xe81e5456, 0x86e23b5d,
+    0x25c3c448, 0x8de8c1f4, 0x11e88d69, 0x8bc71e63, 0x33f1b296, 0x16dd20bb, 0x0757e224, 0x699d549c,
+    0x0adfad63, 0x077ed0dd, 0x7f6c680b, 0x89b4ed04, 0xd31b63b3, 0xfc27c188, 0x8efd11a2, 0x659ea537,
+    0xbcb7d61b, 0xf0f1d5b2, 0x895ed68e, 0x9b874fc3, 0xa5d573f5, 0xcfb2c070, 0xa0c59e35, 0x0e7ca19f,
+    0x67c008c7, 0xb0a88124, 0x8bae75fd, 0x31eeb19a, 0xb3d4cf4a, 0x9aedaab3, 0xc9a84544, 0x4106f0ce,
+    0x271eea63, 0xa712f0c1, 0x711041c5, 0xf4b761f8, 0xc6486e83, 0x9c5defea, 0x42439985, 0x3990ecef,
+    0x11fad4ad, 0x112ceb6c, 0x8381f0a4, 0x28529797, 0x4fec1cc2, 0x08c09ba9, 0x061d1411, 0xe1bf39b2,
+    0xd6f35d75, 0x6b7ad89d, 0xb784efa1, 0x6548a1b4, 0x08bd3bfc, 0x5b4262a2, 0xd485a143, 0x30fbc443,
+    0x0e6b57e2, 0xfdeb6670, 0x70f67fb1, 0x08d50be2, 0x183e9f20, 0x7bd1ff32, 0xdb18eca3, 0xa2b3912c,
+    0x39ae4fa7, 0xe1688b05, 0xe54f3863, 0xca575802, 0xdc6cb56f, 0x90a9f8e8, 0xdddde092, 0x5f1c8d08,
+    0x38e462a6, 0xac997fc0, 0xffb11742, 0x57c44717, 0x2f8bc8fb, 0xfcbce053, 0xf2140e5d, 0x86a08948,
+    0xcac74528, 0xc2c01449, 0xe80c7694, 0x3e89c13e, 0x8850eed2, 0xf843c959, 0x7eb6f57b, 0xd7fb0bda,
+    0x99247171, 0xa4f466b1, 0x0891c1e3, 0x152055db, 0xdd5e5e4d, 0x10a19c76, 0xe609e6c8, 0xda024c24,
+    0xfe9052f9, 0x44144525, 0xdd0cfcd0, 0xf58ebee4, 0x6c23416e, 0x94e999e4, 0x60ad40b6, 0xb487e6e5,
+    0xc5587321, 0x8fe630e7, 0x441e50ae, 0xd9f8c4a7, 0xc150f374, 0xfcccecc1, 0xbf6ef547, 0x32587396,
+    0xc1760fdc, 0xee079a07, 0x6f1d0e54, 0x89685c24, 0xf2a38f0c, 0x5ea46b9d, 0xea474ef4, 0x7df9030c,
+    0xbf5f5998, 0x0e4e6d0a, 0x0a1d5d72, 0x07f37d5b, 0x0e2893ad, 0x422c49c7, 0xb584e877, 0x5655990e,
+    0xf81785bc, 0x2cecd352, 0xf8110f82, 0x590a53f8, 0xa6eb46bf, 0x55978fab, 0x2094e95a, 0x9d3528cf,
+    0x4328c9e2, 0x26918147, 0x668129b5, 0x125fc393, 0xf3539156, 0x4c82a047, 0x51ce97a2, 0x1906c047,
+    0x5251f2b6, 0xd32e93ae, 0xeb9c0386, 0xab28c888, 0xcc6eff12, 0x0af69bbb, 0x86dc9363, 0xe7d4704a,
+    0x6617409b, 0xc9dc6047, 0xc8c4c405, 0xaee234ed, 0xb2771597, 0x2818d894, 0xa653b4dd, 0x8915c2c4,
+    0xa1f0454c, 0xc8347d56, 0x55af1d62, 0x8126f1e3, 0x287a29af, 0x7746aa6a, 0xead37391, 0xa6af7d1a,
+    0x6265ac65, 0xdedb241b, 0x74f9c36b, 0x62453091, 0xa2e6cef4, 0x96ebff62, 0xf649dda1, 0x0f6caa1c,
+    0x15b26e0b, 0xf21d6529, 0x2ec5b08d, 0x193c9cd8, 0xe775c5f0, 0xfa93a933, 0xa3a74981, 0x10f4a7d4,
+    0x97e6d61d, 0xc45652b4, 0x9163b097, 0xcde83d1c, 0x36e5b5fd, 0xb39b6ca1, 0x49c4abe2, 0x32b22da9,
+    0x3cd549a2, 0x6978d7db, 0xca4ede22, 0x7fbd9076, 0x52c909b6, 0x341ee8bb, 0x9edc9fcd, 0x549d00c1,
+    0x460ff8f9, 0xb49be5f0, 0x732e0f7b, 0x9074078d, 0xbdab32e8, 0xb24d66ca, 0xa0cc33be, 0x1e8f453d,
+    0x91779a2a, 0xa463ca6b, 0x880885f8, 0xcf7bc5bd, 0xd6172fad, 0x952629bd, 0x7d90398f, 0x93c48311,
+    0x8b92b92b, 0xc4d7d403, 0x0340538b, 0x2595db05, 0x93436599, 0x79aafd47, 0x5f181836, 0x749f2aa8,
+    0x10874d31, 0x23e070b1, 0x958f04ca, 0x3ae7dd6f, 0x3ddaef51, 0x58619d6f, 0x56b8d1ea, 0x21caaf5a,
+    0x66f286a4, 0xfdaf1853, 0x02f2a0a5, 0x2865943d, 0xd2d50f62, 0x57d88594, 0x29dd94b9, 0x2820990e,
+    0xd47bf002, 0x37d8c0cf, 0xd7a0221c, 0x7dcbd459, 0x35e75c52, 0x782c9eb8, 0x8548339f, 0x1a5fcd2b,
+    0xf366f234, 0x5923eebb, 0xf75df0cc, 0x599fffe9, 0x412809d1, 0x66476a85, 0x31be5741, 0x9256c5f5,
+    0xf18b921b, 0xa88e41a5, 0xe983a80c, 0xfc5c8d56, 0x475e25c9, 0x2b531af3, 0x26dd23d5, 0xd6f0f6ce,
+    0xd0b74e62, 0xbac0af33, 0x49a458ce, 0x8dde7585, 0xb371f9fa, 0xc7e7bebd, 0x9e43428f, 0x5674585f,
+    0x62c11aef, 0x2e6d821e, 0xe05b3332, 0x51aac631, 0x1fe64699, 0x3e2eb014, 0xbdd7cc31, 0xb7505a13,
+    0xb920f6bc, 0x530c4838, 0xf35cf6f9, 0x897599bc, 0x762a8dc3, 0xc9f2b19e, 0x4c8691c9, 0x4986f477,
+    0x65658df9, 0x963d99d0, 0x1f14be32, 0x76f0914c, 0xbef7e74a, 0x3ae54493, 0xffab010f, 0xdb0a0790,
+    0x8cd7c767, 0xdf5ae42e, 0xafc4372b, 0x7a8f20d8, 0xe286643d, 0xb49ab51a, 0xb2429619, 0x863d1e43,
+    0x141c0063, 0x5dee28fd, 0x897c80f9, 0xaedfa794, 0xe1729a21, 0x2b9fb601, 0x4ff7ad6f, 0xe42ce6e1,
+    0x6b38fe29, 0xace7b750, 0x30aa4eae, 0x85f8db43, 0x885e13e4, 0xc05bbc9f, 0xff43cae2, 0x47fa63e5,
+    0xe1b6b175, 0x45163865, 0x5fd9aea7, 0xb3b49c24, 0x6b1fba78, 0xb82ad50b, 0xb9455074, 0x8ec46964,
+    0x826ba9d6, 0xbb8131de, 0x9e89ab11, 0x90ebb385, 0xccc4e3b2, 0xc9f4973b, 0x2141c1a8, 0xdbdef117,
+    0x7f33c9e7, 0x13aaa5f7, 0x23228f67, 0x0f4166ec, 0x65c07efa, 0x8e843137, 0xf519baa9, 0x75810d82,
+    0x3870fddb, 0x4ca413eb, 0x4dbd190e, 0x53668e44, 0xe8da740f, 0x3333273b, 0x58da6b9b, 0x2330b2c2,
+    0xa8ecc8ed, 0xb54a6ef6, 0x7549ce9e, 0x804e326c, 0x910157ea, 0x3cfb7fa2, 0x920a5ca4, 0xf03bc2b1,
+    0xfc15460e, 0x4515ca52, 0x8be64901, 0x354946fe, 0x9be6d87b, 0x5d11a945, 0x58a78205, 0x3ada1b1d,
+    0xfe1daddd, 0x31a0b936, 0x935d072f, 0x1c82855a, 0x994e10db, 0x2e6b96b4, 0xd3ad2f19, 0x1d5a8231,
+    0x16fcb8a5, 0x81556a17, 0x4c590856, 0x96d7692c, 0x9025beff, 0x779c1c49, 0x74e0fa74, 0x70c4968a,
+    0xff97bd15, 0xd28e17eb, 0x86477338, 0x90a0f357, 0xe8fed6d9, 0x0e265550, 0x03f92e80, 0x593cf84a,
+    0xcce81ec9, 0x424aa7c8, 0x1212c5d8, 0x7e1a0a3e, 0xa47230f8, 0x1ca6fde2, 0xad6e3770, 0x72d3a881,
+    0xccc36447, 0xface5847, 0xc50bfb44, 0xd45b63ac, 0xc1592d4d, 0xb056f2c6, 0xa79c978a, 0x410f9c82,
+    0x5febeb7b, 0xd332af0e, 0xfe80a0f4, 0xe76b8a68, 0x7aabea4e, 0xcb4ebd55, 0x0abc2e97, 0x44abcafc,
+    0x2d3ab55f, 0x7ab436d5, 0xfd88a193, 0xd57013e8, 0xc7868046, 0xdd3a79c4, 0x995f84da, 0xd30692af,
+    0x0d0b720d, 0xba6c754f, 0xbfcd379d, 0x97e78039, 0xee0096e9, 0xb5ed18d7, 0xccd6759b, 0xb8d6cbfb,
+    0x8f3d1dc2, 0x5cea3bcc, 0x2e8f88ee, 0xea780644, 0xab6d80be, 0xf5283d35, 0xcc809b89, 0xbe6652a9,
+    0x652b4cad, 0x9802f861, 0xdebe055e, 0x64f76ef8, 0xd91df6c9, 0x38152745, 0xe216f9b8, 0xc282a47a,
+    0x9b6fb9a3, 0x52719105, 0x8edb8127, 0xb755de81, 0x2c7ab103, 0xcd1ae67a, 0x39d597f1, 0xbf4721bf,
+    0x26c781a7, 0xe8f7db0c, 0x9a1f2471, 0x5fe3af93, 0x11b268da, 0x58cc5409, 0xc0176a4a, 0x8ce9717e,
+    0x7965050f, 0xa24d51af, 0xa082149e, 0x59a78be4, 0x374139a0, 0x06b0365c, 0xe40b9728, 0xb2af5625,
+    0xc6d7b08e, 0xf56ae2e6, 0x7659648e, 0x7b7d52ed, 0xbefeb73a, 0xec091189, 0xfbd37574, 0x32fa7993,
+    0x630be05e, 0x0b9d831d, 0xc7f1f95b, 0xe95d80ed, 0xdfc1b8fe, 0x9d29d8ee, 0xc7b80afe, 0xa8617734,
+    0x6fe3671a, 0x745e8747, 0x4d4a846c, 0x77576d4b, 0x77d5d22d, 0x99a06afb, 0x82a19619, 0x2abed31a,
+    0x0efdf452, 0x5d28a9c9, 0xe1e26cf0, 0x5911717d, 0x90737064, 0x5f3ee983, 0x6b8a2987, 0x612c5f5b,
+    0x77ec9b55, 0xc7c614bd, 0xebd23ba0, 0x20bf9dd1, 0x42bfe029, 0x7548b8c6, 0xb8496f7d, 0xed5b87e5,
+    0x6911f144, 0xe9c38664, 0x244cb584, 0x6ae196d1, 0x0cc6310e, 0xbcb544d1, 0x3c6073ed, 0xe91c8b5c,
+    0x78e34c80, 0xa80cc324, 0xc92406f4, 0x577cb352, 0x6436bb99, 0x9a262777, 0xd9655aa3, 0x4de186ac,
+    0x7b407036, 0x870d6c52, 0xa4834179, 0x4bf50043, 0xf0464f3f, 0x75c55636, 0x4bba1661, 0xba34e8c6,
+    0xe2aca6c3, 0xcd41d674, 0x646743b9, 0x4d8f041f, 0x0b93173b, 0xa5125d71, 0x403a79f1, 0x6173da19,
+    0xc2650b3b, 0xb9b1b1a2, 0x2edea261, 0x9dec3fd1, 0xb869e87f, 0x39910aac, 0x30e84065, 0x2f019555,
+    0xc702eda0, 0x0296714d, 0xdde3ce0a, 0x2ba44774, 0x19f2b5b6, 0x3a627fea, 0xf68ceb28, 0xc7a9ceb2,
+    0xed2e120b, 0x0adfce85, 0xa251b44c, 0x8e58f7b5, 0xe8e8d35f, 0xbe1ba3bb, 0x386a1560, 0xcb09a2e0,
+    0x38caf731, 0xe223666d, 0x6fb35989, 0xb20867a0, 0x5e531be4, 0xf499410a, 0x89492661, 0xcb8b8974,
+    0x5f237579, 0x7cd287ab, 0x07e3c09d, 0x64a5d7cc, 0x089e1f08, 0x4b9eaf2e, 0x173f8ef6, 0x4118b82c,
+    0x44005b9d, 0x8aebdca0, 0xf9f7a9f0, 0xb4615f22, 0x4b78a43e, 0x5d65a46f, 0x0ead856a, 0x9a082d25,
+    0x11823113, 0x742a26ce, 0x7946be8c, 0xda9a5794, 0x1fdba1be, 0xb2568575, 0x547a2917, 0x1b469cd9,
+    0x7b009c12, 0x33453695, 0xaabe10dd, 0x1258a925, 0xace8e4e3, 0x22489b56, 0xd73d8cf5, 0x676cb9b7,
+    0xd594822e, 0x83b0a955, 0x4dc1279e, 0x8c66a595, 0xf5e0b73e, 0x85ac5935, 0xd8af63a3, 0x27531625,
+    0x4f26d089, 0x3429b12c, 0x12155db5, 0x4eff2ddd, 0x733330d5, 0x563b58ef, 0x0ba52f5f, 0x531e65ce,
+    0x5e32ecdf, 0xe05c4b69, 0xda4b1aa4, 0xc96835a9, 0x6efd19f5, 0x6a21212b, 0x69fb62d0, 0x66e1859f,
+    0xe8c67f92, 0xc41050d5, 0x63d3de55, 0xd6dbeed6, 0xe34780cb, 0x8b5546c1, 0x7463655e, 0xac26b502,
+    0x47bea95e, 0x7df282c8, 0xb3cde5c3, 0x6649ca0a, 0x2f4a287d, 0x7a4c0774, 0xc2850b93, 0x80b7c141,
+    0x526cd378, 0x3ea0dfca, 0x29bffe92, 0x91efcc05, 0x60bcf6b0, 0x69a939d2, 0x9194e04a, 0x717828bd,
+    0x6b7ea205, 0x61f11bae, 0xbf148222, 0x609a1578, 0x0a66fb43, 0xf82949d0, 0x41c48a6f, 0xa5e30baa,
+    0x4025b4f3, 0xf699165d, 0xa69b4990, 0x53bb2221, 0x4d35d7c6, 0x3cb365ce, 0x1f7ad194, 0xf6144d48,
+    0x26ed51db, 0xe710c907, 0xb3f54ce3, 0xc91fa038, 0x07501daa, 0xe4f45f0d, 0xe173fc87, 0x1ee1f4ad,
+    0xc939bc8b, 0x41858df0, 0x45697e5c, 0xf6f81344, 0xa37b03c0, 0x744e3084, 0x51cf3bd9, 0x8c59000d,
+    0x5d3754b6, 0xc5c8f343, 0x28980eda, 0xd41befcb, 0x5851c347, 0x3851aef9, 0x373eb468, 0x83ea04fb,
+    0xe0c83a98, 0xb81c357d, 0xb78f30bf, 0x133fd40e, 0xf694d8d5, 0x67cb39d1, 0xf7bc0d03, 0xb3f03d7c,
+    0xb1feb7c9, 0x48683b50, 0x65eccb2e, 0x25fb4743, 0x9b9e3720, 0x7445ba31, 0xe119b77e, 0x4b61e3ee,
+    0x2f14a9e8, 0x522cea85, 0x434e4583, 0x7167f99f, 0xbfa97473, 0x93ad78aa, 0xdaf990dd, 0x73b65c29,
+    0x693c8176, 0xf6fa7943, 0x25e55c40, 0x8e9e6d64, 0xf34ff0fd, 0x3f0a1037, 0xa2122144, 0x16b0db89,
+    0xb2ff9956, 0x7ed2463c, 0xe7ef9b7c, 0xb2fc16cc, 0xe2c9b725, 0x1d8784cb, 0x98be9b19, 0xbe7b7352,
+    0xeff06650, 0x978fc65b, 0x1ae394bb, 0xf1d4a696, 0xaf99f0eb, 0xf8e6031c, 0x5de6b153, 0x3f87339e,
+    0x862d7df8, 0x3be8429e, 0x09ae94aa, 0xe70f041c, 0x41f160ee, 0x424d6756, 0x3b923db5, 0xf96430cf,
+    0x1e314ede, 0x7870178f, 0x14103dd3, 0x93f48ed1, 0x7bf71709, 0x5865deb5, 0xf9fd4859, 0xd1fbc18f,
+    0x669f4196, 0xd555872b, 0x59ffdbef, 0xec6f5ca3, 0x7509cd80, 0x98172f66, 0x4b69acc4, 0x06abc189,
+    0x30d95837, 0xcee66ff4, 0xc0a03087, 0xc797204b, 0xa46a857f, 0x1d2d109d, 0x0da30618, 0x4e97f387,
+    0x7bbe4e1d, 0x28eb3e5b, 0x0b0b489a, 0x4f8096f4, 0x7448f2b9, 0x83716b65, 0xd29a7417, 0x2933ef89,
+    0x25fe6eb5, 0xff1668c6, 0xbbf6e681, 0x73179500, 0xe5a63960, 0x6b7cf56c, 0x859dfdce, 0x45205f7f,
+    0x7dd8c0d8, 0x5fc126cb, 0x5aba6564, 0x766f6747, 0x98dc46dd, 0x9df1e275, 0x64596e16, 0x466e7d86,
+    0xac191708, 0xc5d74b26, 0xf01751ef, 0x06c1922c, 0x09efec96, 0x1410f383, 0xc38b22b5, 0x4f724eb2,
+    0x008887e3, 0x2aa7fe0a, 0x7e22991f, 0x652ef5d2, 0xab8fc207, 0x55d73625, 0x2c926304, 0x03c1567a,
+    0x9bd22eae, 0x74c80468, 0xc7d94cff, 0x67c46e00, 0x9f2d44b6, 0x91b84e18, 0x423ec026, 0x805eefa4,
+    0x86f95c8b, 0xafb60272, 0x7a6a156b, 0x873a78a1, 0x178a7c7b, 0x9c82a4f5, 0x3130a27e, 0xea1b1288,
+    0x7ae9fe6e, 0x76161f42, 0x268ac3b2, 0x1338d1da, 0x1e69fb07, 0x8693a91a, 0xc233ec55, 0x326c402e,
+    0xdeaefe34, 0x7b0174fa, 0x9a2f1323, 0xbb048a87, 0x3efb9427, 0x1d7a0153, 0x716d4d2f, 0x74a084ba,
+    0x495a2d01, 0x00c1709d, 0xe6eb13b7, 0x06168908, 0x05f62be3, 0x5dff4772, 0x806c8b04, 0x0ab2b964,
+    0x57e00c0b, 0x09deaffc, 0x55b5d935, 0xedbad342, 0x67883273, 0x0230fa79, 0x90fd58dd, 0xba4f3026,
+    0x72179171, 0xd15d78b4, 0xf8c4f0f7, 0x47879d44, 0xa7551008, 0x9c5d80a4, 0x5e7c97fe, 0xd28ab87a,
+    0xdc1b1df9, 0x68993f3d, 0x2047bc0b, 0x1dc14ef9, 0xa96a9dae, 0x89f28776, 0xffd45ff7, 0xaddfd733,
+    0xeb9b3f8c, 0xa01503c1, 0x9d328acf, 0x09eeb0eb, 0x93a1a0a4, 0xc8ffd781, 0x63992210, 0x06e0827a,
+    0x2c64ddf9, 0x8a5e31eb, 0xd206bccb, 0x88ea2bb2, 0xc36b7111, 0xbf4ff35e, 0xc78bc2cc, 0x3f394d3e,
+    0xb07b0c6c, 0xbc31ae1f, 0x2265f804, 0x26bda529, 0xb5e9e36c, 0x131d81f1, 0x91252865, 0x8701d8b3,
+    0xc3eebc88, 0x9a5bf4f2, 0x5b3cb327, 0x2b20aeb0, 0xed9f47ed, 0x63664eea, 0x3cc26ac9, 0x78d001ce,
+    0xe08922f4, 0x6ad0b951, 0x54b72e47, 0x1f161cfb, 0xced8a18e, 0x647fc7e6, 0x78c5e6df, 0x85dd3ed9,
+    0xc2afc0a5, 0xc46665c2, 0x7d942c75, 0x402984e0, 0x0094dfd9, 0x973533bf, 0x0f44546b, 0x6abbeafd,
+    0x64652628, 0x370922ee, 0x52d0483f, 0x53eea6a1, 0xa27fe194, 0x18ce09a6, 0x0ee2cde4, 0xc40ffbdb,
+    0xd62a5b62, 0x9212380d, 0x2288ec86, 0xa8764fba, 0x6298c672, 0x079e3519, 0xb2206185, 0x8023c583,
+    0x212f61bc, 0xcfa9d800, 0x2a9209c2, 0x3f78cffc, 0x22f36acd, 0x38ca64c0, 0xf64ab194, 0xcca5237b,
+    0x00000000,
+    0x55fe37b2, 0xdb4cd96c, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000023945242826029513411849172299223580994042798784118784 */
+  { 0x00000000,
+    0x3efe7a80, 0x512ca577, 0x0a7c3568, 0x4a07e9b2, 0xea18f843, 0x0551de37, 0xf0493f0a, 0xb942d0aa,
+    0x77ef3449, 0xcb101732, 0x996d4739, 0xac27a78b, 0xe6cfcb1d, 0x7745a3e2, 0x865aa7d1, 0x692ebe99,
+    0x3168f655, 0x8aad63da, 0x696376b8, 0x29f372da, 0xf8af1976, 0x3314c55d, 0xe5c5d44d, 0xfc6362dd,
+    0xd9a52b7d, 0xbf062893, 0x165955fe, 0x9298a3e7, 0x60228500, 0x94adb2a6, 0xd725c0af, 0x9d3aabdf,
+    0x0b438c11, 0x0a51e5f9, 0xf1df2b25, 0xc8a87ca1, 0x08923c59, 0x6133f02e, 0x804257fa, 0xe5ed2129,
+    0xd6628545, 0x3dd36a87, 0xb01d5c38, 0x20a13da6, 0xa7301353, 0x7e35c039, 0xba112f42, 0x938856e5,
+    0x4c87fb69, 0xb5143020, 0x2213549b, 0x5648b6a9, 0xdec562e5, 0x6a05824a, 0x8e7be429, 0x6d6b64b0,
+    0xa7fde60c, 0x0accc97b, 0x2a0f0c74, 0x46f171a0, 0x3ac133eb, 0xd4c83266, 0x6ca736a0, 0x2601b0c4,
+    0xb11fecad, 0x7d8ee7f1, 0x3d42fefc, 0x6ff77cd2, 0x1045b5f2, 0xc5ebe24e, 0xa25170c1, 0xda09e095,
+    0x11334afd, 0x39714042, 0x6bde175e, 0xf987af87, 0xe91e45d9, 0x9d061ca4, 0x953cdba0, 0xcf70d9f9,
+    0x44c207b9, 0x8d260a29, 0x34603899, 0x8dd167bc, 0x7a16d782, 0x4dfe4a06, 0x327c5e1c, 0x3fd479b7,
+    0x51bb6ff7, 0x89e3b53f, 0x0a3cb7d2, 0xb7601c6b, 0x53de1744, 0xd381eff9, 0x80ece60d, 0xfaaa6275,
+    0xf5ab5a71, 0x6db0782f, 0x02f37d23, 0x788396b4, 0x1be77237, 0xa52d42f5, 0x5212e81b, 0x65f5fdf1,
+    0xeb3d5405, 0x68ab2abd, 0xd702e6c9, 0xe5f645fd, 0x780c1c8a, 0x081753e9, 0x73f2d697, 0x51eb1e13,
+    0xb3ef3331, 0xb0917697, 0xd3e040fc, 0xaa586568, 0xdf82a487, 0xb8f179fd, 0xd94f5c0d, 0x560c45de,
+    0x28afc03e, 0xb3080e01, 0xade17c52, 0x926480fb, 0xef71a6b2, 0xd02036f2, 0xe65b8dc0, 0x8300a824,
+    0x8ec72143, 0xc22bbde9, 0x9e26a068, 0xc655b2b3, 0x1e5eb5f6, 0xab630d23, 0xbca925ef, 0x4d671e3f,
+    0x589331f7, 0x8f8752c6, 0x6d870207, 0x237b628e, 0x1cd92e98, 0xb0c122bb, 0xa15b73f5, 0x05725e31,
+    0xeb22c690, 0xc7b0db81, 0xe0819020, 0x30ff42f5, 0x9a9c67df, 0xe417dc48, 0x35b09956, 0x3f26ae24,
+    0x9f1f2bf9, 0xb855d40e, 0xfbf721dd, 0x49930b08, 0x943e1014, 0xb578c166, 0x726ad38e, 0x244beed2,
+    0xe699a94f, 0xfb3afec3, 0xd4606a1a, 0x0ff61d89, 0x7c3ed400, 0xde45d28f, 0x90804df4, 0xc61a020e,
+    0x23f45ad3, 0xc7fb55fb, 0x4bbc91d0, 0xfdcc0c2e, 0x6cb021bc, 0xea166eef, 0x8a95ef82, 0x28d458b3,
+    0x5978bc0f, 0x919d5d02, 0xbeec5218, 0xad1f251a, 0xeefdc08c, 0x9058345c, 0xe51d0deb, 0x961ede2d,
+    0x71c38600, 0x90542e0d, 0x15697e1e, 0xb41cd2b4, 0x68810691, 0xaa45c438, 0x3e110c1a, 0x5ed8a00a,
+    0xe9532424, 0x04b1baf5, 0x1d4ba269, 0xc2a4c17b, 0xad78bdee, 0x8cfddaac, 0x0c187cdd, 0xa17927b5,
+    0x0f59d257, 0x59b57809, 0xb8ba72a2, 0xaf106452, 0x562723e3, 0x2192dcdd, 0xef6eee8d, 0xf49db19e,
+    0xa86cef96, 0x907f6470, 0x866e1c55, 0x307326c5, 0xa464268b, 0xab7325bd, 0x5ebf7045, 0x153c0c12,
+    0x3649f04d, 0x93e3bc8a, 0x79c909d7, 0x4b127b3e, 0x1b254274, 0x17287de0, 0xb1a67bd9, 0x95a92ef7,
+    0xf5fa0f56, 0xbd18c23f, 0x51311305, 0x3ed43615, 0x60de6eb7, 0x57915dc3, 0x4973aa60, 0xb3665951,
+    0x84590b6d, 0x291f364f, 0x943aec2d, 0xd703bba4, 0xd6fb76df, 0x38493c98, 0xf119bfc1, 0xec52731a,
+    0x3b65579a, 0xbd01e6b2, 0x21446d98, 0xb5950c02, 0x2f78da61, 0xe9d46019, 0x3ce38e56, 0x957c05cf,
+    0xe0b1786d, 0x3e1438d1, 0x32b12beb, 0xe804933d, 0x0c731b16, 0x4a30a4e0, 0x6c3b8c1f, 0x91257cac,
+    0x7c9751ee, 0x895b7e3f, 0xfc5d7ed0, 0x55e894e5, 0x3e3005f9, 0xf97da214, 0xbbd5e142, 0x4aaa12b2,
+    0x4309f83d, 0xdd7e67a0, 0x3fdfc2dd, 0xba764ddd, 0x16119197, 0xa5692936, 0xeda7b15c, 0x764979ff,
+    0x4e9568d4, 0x4aee2357, 0xf6f8212f, 0xfa8bbc1f, 0x3f3a60a2, 0xed0f2161, 0x51188a1d, 0xc4359953,
+    0x6511bc39, 0x1c686cb1, 0xcfbb7c4b, 0x8639bc70, 0xcfb7c5a4, 0x37591466, 0x76bb28a2, 0xb825ceaa,
+    0xf1cbb3c2, 0xb8565ef6, 0x4189b4e9, 0x26fb413b, 0x6a2698ea, 0x57252646, 0x50089310, 0xbb0d5df5,
+    0xc933cf1c, 0xe954b442, 0x13fba71a, 0x705c3ee0, 0x681e564b, 0xd719798e, 0x3cb93300, 0x70ee6afa,
+    0xe567fbfd, 0xd09e81b8, 0xe25a8cf2, 0xdff25f75, 0xda73d1aa, 0xbf1eeb4a, 0xb81ac0ec, 0x49eef698,
+    0xf3b21795, 0x59e59c48, 0x876ce55c, 0xc2716c6a, 0xe620ad0c, 0x5af99fd1, 0x0ab11cd2, 0xae007ba6,
+    0x36788195, 0x8ebafc86, 0xbef91339, 0x65dd7342, 0xd580a5da, 0xfe67fde7, 0x458855b1, 0xe67fb152,
+    0x0eafe5b3, 0xbfe39be3, 0xdf4250ca, 0x75f77e6a, 0xd9b3e2f2, 0x691d0ef1, 0x233b69a7, 0xe1fb6fb2,
+    0x0dd28137, 0x6c716a0a, 0x1045d822, 0x4af0cda2, 0x7d3a61a1, 0x28239a19, 0xb1790364, 0xcf43ef6a,
+    0xf2e21d91, 0x34786dc9, 0x1ce6c3cf, 0xa4531c70, 0x4c5e9a70, 0xb3490132, 0xbfeb5e53, 0xe708ba9f,
+    0x4828d3b8, 0x0114a27a, 0x84f6f8e5, 0xadcee7d0, 0x678c535e, 0x618a49c2, 0x591e027f, 0x9a7d551f,
+    0x7b6da76c, 0x0dad32d2, 0xf392066d, 0x812ab249, 0xd3511357, 0x4fc6a527, 0xed8d23ca, 0xd48085cd,
+    0x1687ebaf, 0x4c50506b, 0xea4b027d, 0xa1bb2a74, 0x57c10cf4, 0x9f44517f, 0x1f6d7b8a, 0x62099a4a,
+    0xa02b31e8, 0x00052ebf, 0xcacad485, 0xdfd6e084, 0xd54d84f9, 0x5550634b, 0x82b94e65, 0x401b98e3,
+    0x3b297dac, 0xc4f0607e, 0xaf7fbd48, 0x7b9c8dd2, 0x13ce3f01, 0xe8964eea, 0xf3c312fa, 0x9ae87f1b,
+    0x0320c130, 0x0a9e82d4, 0x0aba6dbf, 0xd0dab6e3, 0xc13e49d8, 0xe07b44a7, 0x26ef0a72, 0x49e31e32,
+    0x02f63f08, 0x44cf6e22, 0x93fa482d, 0x2713f463, 0x6c1b04fb, 0x0d4af2ac, 0x3e546cc4, 0xde698f48,
+    0x09720e5f, 0xf216fed3, 0xcabebc08, 0x63ac93ee, 0x34123a28, 0x40a8416b, 0xa556fbd4, 0x2c200129,
+    0xf75de3ca, 0x73b6faa1, 0x4e3790e9, 0x72194164, 0x2afac211, 0x3bcaf192, 0xf18c0438, 0x5ca2cf8a,
+    0xa8faaa8e, 0xa415f0a2, 0x7fa350ef, 0x0bfa3758, 0x1224ff97, 0x89d04779, 0x38dfa2f8, 0x5d11c5fc,
+    0xb1cdb1e1, 0xcbcb4b29, 0xab775835, 0x10e5d58c, 0x016fd331, 0xe45fe1d8, 0x16219b7d, 0xa1d15161,
+    0x22ab3ce3, 0xa77acfa6, 0xf0bf1a39, 0x821c7249, 0x726d572c, 0xa882286a, 0xd705b071, 0x5f0b5f96,
+    0xf29574d8, 0xf7105184, 0x422b4e18, 0xb9fa8da8, 0xbfd9133f, 0x30f88d44, 0x1420c54d, 0xbbe1000c,
+    0xb6553feb, 0xa311af90, 0xce18df3e, 0xa20c8099, 0x226d0b20, 0x7b61fcf2, 0xb9a1c945, 0x9eff1d7b,
+    0xaed00bb0, 0x82b94016, 0x633076ba, 0x537251b2, 0x5ba38a68, 0x0d418353, 0xf88daf82, 0x072b6dea,
+    0xe0f3e3b3, 0xd37dda09, 0xf9a9ef98, 0x7689ac88, 0x027cec54, 0x3063c7fd, 0xbe676689, 0x21494645,
+    0xdddce248, 0x2e21a296, 0x5eedf8b4, 0x44929824, 0x6f64d29d, 0xf78dddda, 0x2c7388dd, 0xdd109ba6,
+    0xec6d61e8, 0x48c9ca67, 0x6dabf340, 0x5d18de08, 0x8acc7e06, 0xa3970e96, 0xdd1f8a1c, 0x03dba3af,
+    0xab172b12, 0xbd0985bb, 0x41e246ca, 0x1c317a60, 0x065f89cb, 0x1017883f, 0xeb0287db, 0x3cf62934,
+    0xa28f6614, 0xfaa1127f, 0x88259708, 0x5c5159d0, 0x6cd24c65, 0xbea99508, 0x2a71651d, 0x936eff9b,
+    0xca644524, 0x76894589, 0xde370ca2, 0x2eb6cf79, 0x01c15c68, 0x124acf00, 0x5d9aa1e4, 0x5f49e7bf,
+    0x2c86f72c, 0xb0b181f0, 0xe86aa51a, 0xa12acffe, 0x6249607b, 0x32247614, 0x8a29a11c, 0x19e0568c,
+    0x0c200b1f, 0x184c4790, 0x1e02b6b6, 0xff096d06, 0xe9d62089, 0x2553c28f, 0xd208474d, 0x6880df7d,
+    0xb6baf3ec, 0x10b4444d, 0x01ea5b7d, 0xac8cebe4, 0x36f6e870, 0x595862b3, 0x0b91e02f, 0xb26c6bc7,
+    0x74d89a7c, 0x916a7b83, 0x86441609, 0x650ee06d, 0x7259f29a, 0x37acdda1, 0xe894e009, 0x4eae287f,
+    0x7774986a, 0x75a52b8f, 0x11323d21, 0xaaeae8f3, 0xf15908ff, 0x1c7ed497, 0xa581be72, 0xe45ddd7d,
+    0xc2d11b2a, 0xdc416a6b, 0xc10591fa, 0xcd176c83, 0x04c63b6f, 0x4b14748c, 0x60c5fe61, 0x3f06f4cf,
+    0x7b2280b6, 0xf8dba4aa, 0x6048e2cf, 0x655ceb9b, 0x6ef62131, 0x7973ecb7, 0xc3854bb1, 0x0f4c731b,
+    0xbe8ad896, 0xb25b57e8, 0x92ffc9d1, 0xfc7d6c92, 0x10264cda, 0x343fbec6, 0x99454360, 0xbde6e931,
+    0xb597da6d, 0xf224264e, 0x4accb90c, 0x66782086, 0x58437875, 0xa939e4f8, 0x176e4ddb, 0xaaa99cac,
+    0xc77b5533, 0x8cc1c249, 0x90a89a01, 0x47155648, 0xc1642eba, 0xd8cf1609, 0x317250fd, 0x51d900e8,
+    0x49117f75, 0x24907eaf, 0x18a3eeb9, 0x4d0d04b8, 0xf1a83f0d, 0x69eedc50, 0xda48f3f2, 0x8f5e7968,
+    0x86935ee2, 0x2ee3f932, 0x6766951b, 0xa5a8de13, 0x97d6113a, 0x22e2406a, 0xe887b859, 0x0d0a4140,
+    0x5006a06b, 0xa51863fa, 0x8d6d28b5, 0x558e68df, 0xb6e43ffe, 0xa48be060, 0x3cc048f1, 0x7d3d6f29,
+    0xa0b91abc, 0x4ce09347, 0x548b68a2, 0x837e6a3f, 0x69eb013b, 0xa7bcb516, 0x0fe979b3, 0x6c85dd6e,
+    0x50eadac2, 0x6244238e, 0x5131de77, 0x05a127ec, 0x3e43d434, 0x20d9cccb, 0xb8775938, 0x53aed70c,
+    0xb9f513f1, 0xc5a73ce5, 0x7cb1d3b7, 0xf7eb3c44, 0xc99f37e8, 0x0ca68007, 0x616a2a8c, 0xe75dcee5,
+    0x2d278bd2, 0xddd344ab, 0xf5b74d11, 0xa1ab5617, 0x9275e4f5, 0x7c1b7a4a, 0x8b0da720, 0xb97b7998,
+    0xff5303cb, 0xf685611b, 0x801d22b9, 0xf4f4f23c, 0x44e51be9, 0xaaa0a1fa, 0xfcf28c65, 0x67c80515,
+    0x1ccf3adb, 0x0fb2e724, 0x7a5fe0d7, 0x11f7a859, 0xff4da646, 0x2cf502c2, 0x410a8b3b, 0x7b561f46,
+    0x3c9eb7c7, 0x539237f6, 0x6f63da81, 0x26c3bedd, 0x5638f557, 0x95ad28fc, 0x09c9a2e9, 0x5249d9ef,
+    0xa0e41657, 0x7e5eea1a, 0x2d69a451, 0x68690725, 0x1723c1a6, 0x78ebd3b2, 0x967ea3e5, 0xe1d7d10e,
+    0x7156797b, 0x4e592b32, 0x2ff90586, 0xf5b3f535, 0x1f978972, 0x73741396, 0xc6db6760, 0xe9644031,
+    0x0097843c, 0x72d145fb, 0x866aaf93, 0xc870095a, 0x3198ebc4, 0xf53d54d9, 0x85f44c8c, 0xa6ce3985,
+    0xc5bd4104, 0x2df2c807, 0xab98f816, 0x2105aeb6, 0x85fd3ec2, 0x325f5306, 0x61fa91a5, 0xdd8d7c0b,
+    0x7f2981bf, 0x5451281a, 0xfbead611, 0x82911d50, 0x1ad5c4fd, 0xc72dd234, 0x6885a3db, 0x48c66684,
+    0x0afa0f20, 0x205ce0f3, 0x2820c88a, 0x77e3df4a, 0x0f0b87a7, 0xa75c21a6, 0x46090ac8, 0x6bfb80c5,
+    0x5d5590e8, 0xdb5442b8, 0x394b83f4, 0xcc7dc418, 0xf94851c1, 0x281ee226, 0x94b65f6b, 0xd17b5e8c,
+    0x4820faaa, 0x545014a0, 0xeb7a7a50, 0x68ea8d67, 0x0bcb27f6, 0xeb6ab7e2, 0x4411f5ea, 0x0963d3df,
+    0x4e93d0a8, 0x615c9221, 0x7c78d73b, 0x0195f493, 0xc9a3e6b6, 0xb3812d0a, 0x87a49530, 0xdb3f1ad4,
+    0xf070204c, 0x80455d4f, 0xeb8a683b, 0x7d3b084d, 0x9051dd70, 0x1c2e8a5a, 0xd24790cb, 0xd5e35fa0,
+    0x97493e40, 0xea51aff2, 0xaa6ab9f6, 0xe7f92603, 0x18b82fa8, 0x7f7c058a, 0x1b5791ba, 0xb286b827,
+    0x7e885b24, 0x5c5d1d1d, 0x187092eb, 0x1bbb1e61, 0x793ead0e, 0xaa871cd6, 0x3175e4ef, 0x305a14ca,
+    0x26c3571c, 0x669ff7bd, 0x9e672986, 0x29eec310, 0x54d9919b, 0x26a7b797, 0xfcaf1190, 0xe48f1902,
+    0xd378abd5, 0xe8b06c43, 0xb84c854f, 0xb47df4f6, 0x498ae86f, 0x896a4d17, 0x3346dbc7, 0xbe8ae9fc,
+    0xce2aaf5d, 0xa241c88e, 0xef8806f1, 0xd37a7d1e, 0x7182660c, 0xb6af930e, 0x5095a825, 0x038eb931,
+    0x151d5d31, 0x9eaba6f2, 0x21c75bf4, 0x10320910, 0x57b49d7c, 0x19160c61, 0xcd398d7e, 0x5c8d91b5,
+    0x0d8b3b6a, 0x7b3320e8, 0xda03ae7e, 0x25ffa5aa, 0x97fb87e9, 0x52f97477, 0x7c699d7d, 0x60e80005,
+    0xfbf30b6b, 0x306692e3, 0x5c23ed5e, 0xc6655f01, 0x66705d84, 0xb17361f5, 0x12285c59, 0x8714af50,
+    0x037c9bcd, 0x4e096327, 0x9e3caa09, 0xb257112c, 0xd500c138, 0x6d578b9b, 0x13c535e6, 0x207b1ea7,
+    0x63d0c705, 0x0cab6227, 0x7265fab9, 0x145c6241, 0x412f975c, 0x5ffa25a3, 0xb7da2a3b, 0xea35851a,
+    0x5ec0eca3, 0x30854abc, 0xe1665646, 0xaa2f550e, 0xe002ad05, 0x98e7690f, 0x96c18d3d, 0x6877e3fb,
+    0xbe49c2f7, 0x299ea9aa, 0x2cc6a4a0, 0x134e2b63, 0x8ac4388d, 0xb9b6b8c3, 0xd296e61b, 0x18d9ba3d,
+    0xe3ec5163, 0xc046aedd, 0x671e9b29, 0x251d182c, 0x82a71247, 0x475f9588, 0x03d390ee, 0xa272b97d,
+    0x8d628ce7, 0x155d248b, 0x844808d0, 0x7fc223af, 0xdd1b61ed, 0x2f1dbf6b, 0x38d32ad1, 0x4761e4e3,
+    0x9f4fade2, 0x80b31dc0, 0x66cde4ca, 0x0dd951b4, 0x2f832196, 0x961c45bc, 0xb910275b, 0x42e0ec47,
+    0x5674abb3, 0xedae413d, 0x4d144957, 0xce6b28d8, 0x7abc43f8, 0x1712f371, 0xb064027a, 0x332b0344,
+    0x87b42a19, 0x64e0b3c9, 0x7e28335b, 0x09586aac, 0x6ceec54b, 0x7b4bbc28, 0x5b243eaf, 0x486e9e0c,
+    0x142bc4b1, 0xf90d69aa, 0x4e9118ee, 0xec1ed43f, 0x1c7a80a1, 0x14aa4847, 0xcbc23faf, 0x1512bf7a,
+    0x3278252a, 0x3a08e02c, 0x558ae680, 0x6492191e, 0x2a947156, 0xe58e3019, 0x9870a322, 0x1913c1aa,
+    0xf0008d22, 0x037412cc, 0x7b2dde09, 0xf8051202, 0xb975f791, 0x1d7b6f98, 0x1de0e590, 0xd504e93c,
+    0xa0d09a8e, 0xcaa46c9c, 0x3dbae289, 0x7e931e34, 0xbef509f8, 0x2cbe0e09, 0x9e0626fb, 0xc8d6eb89,
+    0x592f5cc7, 0x9ecf407a, 0x48425370, 0x077c94e7, 0xae368ae0, 0x660effbb, 0xe183785d, 0xcb77abbc,
+    0x4135343d, 0xb073e9b2, 0xa01e6121, 0xd27c04ab, 0x87343639, 0x15ee1ead, 0x64740374, 0x59ac17ee,
+    0xb723464d, 0x9004e8af, 0x636401a5, 0x6f1418b7, 0xb0dcc72f, 0x882fe6be, 0x3c95f85d, 0xa6487d31,
+    0x33a58a45, 0x9b9efa5f, 0x98a50c9a, 0x80e16540, 0xc5e42370, 0xae170121, 0x46a7a216, 0xf6ce8448,
+    0x3dada222, 0xa1678c15, 0xbda95bee, 0xb133d1d9, 0xe0892b3f, 0x5bc6b554, 0x4ff2530b, 0xb4ba2423,
+    0x9d733972, 0xd4a8a9fc, 0x704b6e80, 0x57fd29aa, 0xa0fa8355, 0x2bd5ae28, 0xea9dc4c3, 0x80f475c9,
+    0xc2146614, 0x35c9b061, 0x01331c8b, 0x73e7c3b4, 0x6638a4fa, 0x18fc290d, 0xaf365336, 0xc0957e92,
+    0x8f5ddd52, 0xc02ceb7e, 0x4d0ce6eb, 0x401735d2, 0x2edb3fa3, 0xdb8e286f, 0x47c32b1a, 0xda5d9c02,
+    0xbb2f309f, 0x8b5e6d97, 0xc6a466b9, 0xb52be496, 0xd9d2cffd, 0x1143fa32, 0x810b5011, 0x6095439c,
+    0x03526e16, 0x424fdde1, 0x63d3d215, 0xe9a722f0, 0xd49d0762, 0x4680ecf9, 0xd3115408, 0xe4e3013a,
+    0x00000000,
+    0x2aff1bd8, 0xeda66cb6, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000011972621413014756705924586149611790497021399392059392 */
+  { 0x00000000,
+    0xa6f3e253, 0xbf91c4d4, 0xefd60931, 0x479764cf, 0x284264a6, 0xd60eafab, 0x50dcaa36, 0xe01877d2,
+    0xaee401c5, 0xd0522110, 0x4302d8ed, 0x88feab40, 0x88e64087, 0xb65537bb, 0xf3f69804, 0x59e9e98b,
+    0xa4a1f7c8, 0xf099f93f, 0xa9506fb1, 0x77130851, 0x59b03c5e, 0xf957cc88, 0x7e629d38, 0xfcc0f1db,
+    0x18acc8a9, 0x7a50432a, 0x125d0fd5, 0x85b7bb22, 0xfbfadc95, 0xc6d902e6, 0x83b8ed6d, 0x2cef624b,
+    0xf918f0ee, 0x4d306a2b, 0xd245f681, 0xcbbc8449, 0x2076ad80, 0x0904f315, 0xd8efb025, 0xba47e58f,
+    0x3a737841, 0x17cf1fd3, 0xd460deaf, 0x77274c24, 0x4db739ef, 0x31be3539, 0x0d80c2a3, 0x87fbd1d9,
+    0xff5f0a25, 0x42c06fd4, 0xa4d6b5e9, 0xe67af767, 0xcd01dce6, 0xa7af6329, 0x1972cf88, 0xb2f83d20,
+    0xd59f015c, 0x274cfd6d, 0xf0683ce3, 0xb899b87a, 0xd3f252b2, 0x75f40711, 0xdbe3251e, 0x4d6a083d,
+    0x1287c98c, 0x2a4df6ac, 0x3dca9e96, 0xf4548480, 0x2830b56a, 0xba7fb88a, 0x429eb415, 0x23037420,
+    0x64384829, 0x87485c82, 0x5b53a0f2, 0x2a708e5b, 0xa79d76dd, 0xa81cb694, 0x4b6d2f6b, 0x850efe8a,
+    0xedb99a33, 0xa6eb3b42, 0x86b44939, 0x8a386716, 0xc76ff458, 0x4250d457, 0x3b4130aa, 0x03c4dda8,
+    0x314b6c45, 0x06e45526, 0x063ee9d9, 0xb67d019d, 0x123d0eab, 0x6587aa2e, 0x3d1e9b41, 0x3499b1a7,
+    0x928895ea, 0x4bc7ad60, 0xe9ffed31, 0x53377a61, 0x6a54fc72, 0x3a8f138b, 0x824eac94, 0x5f5dd39b,
+    0x4c9def0a, 0x54dace27, 0x79d961e0, 0x87ad646b, 0xd86df1ad, 0xfdc98214, 0xc51870e8, 0xbf69bf6c,
+    0x044c456e, 0xb987cfed, 0xa53e29a1, 0x94733b44, 0x97234ef8, 0xc473d866, 0xd12d1b4e, 0xb544609c,
+    0x15e47832, 0xbd6d2364, 0x0fd981db, 0x292af1c9, 0xc60c437f, 0x8cad30c5, 0x07fb75b8, 0x177c6cb4,
+    0x989dbb7c, 0x772d5dcc, 0x874a67be, 0xd3e24eab, 0xa6085b3d, 0x6f6a21d7, 0xe2c2af61, 0x0cf0b927,
+    0xcb6c8a1e, 0x1d7969b4, 0x41d0cff1, 0xb6df6e88, 0xb188a925, 0xce7363d7, 0x414b2be2, 0x49d24e1d,
+    0x9c411997, 0xd2326b24, 0x6e8ce73d, 0x51113650, 0x98745947, 0xf75a6b22, 0x7aabd26e, 0xc8912ee0,
+    0xbf47cf58, 0x36047483, 0xa1d06a1e, 0xcc569481, 0xe62757d7, 0x38710efd, 0x6ff30e71, 0xc08b014c,
+    0xb6db3e45, 0xe243673f, 0x470c9e22, 0x6ab40905, 0x9f4d8022, 0xbbeca663, 0xb0837fe4, 0x7f0b0b3d,
+    0x1e3d6695, 0x72cd275f, 0xc41fb9e9, 0x2650aafb, 0x82fc35de, 0xa46cd4d7, 0x4ec026f1, 0x2172616c,
+    0x87af0dd6, 0x1284da5c, 0x326cc314, 0xfa6fb046, 0x1147c68b, 0x4ac80199, 0xbe2a081a, 0x37341402,
+    0x021bb2dd, 0xeaa1cc56, 0x4343a503, 0xdbfdf3a2, 0x80b85f37, 0x5a8d920d, 0x815e9626, 0xad70bdaf,
+    0x9317e3e2, 0xbd0e9cf6, 0x5b7e4c30, 0x4375adee, 0xfd6ece89, 0xd422d819, 0x7b33c003, 0xc6ddc962,
+    0x0bcddfc3, 0x433f683b, 0xb362efba, 0x9927b11f, 0x035b2ba8, 0x48ee360a, 0xef52ba41, 0x7cf70e4f,
+    0x4cc00769, 0x2fa42789, 0x01322fdf, 0xe7a57915, 0xab142ca1, 0x90d637b1, 0xe4fb8c3b, 0xbeff2a83,
+    0xb075ec96, 0x7a059de9, 0x968fa620, 0x0be4a69c, 0x9215acc6, 0x04eb1f69, 0xf6aaac68, 0x23300b47,
+    0x7fb86d12, 0xe0faa3e2, 0x45c3ee43, 0x7fc05c0a, 0x12619b5d, 0x20ff8313, 0xded0b889, 0xbb72c487,
+    0x78d76784, 0x6e46f10d, 0x073c4d3e, 0x900c5e4a, 0x7c777fa9, 0xfe511dc3, 0xed2836d3, 0x395200be,
+    0x4f7842f4, 0xdf3699bc, 0x972da36e, 0x312e1175, 0xb55204aa, 0xe15b3a2a, 0xac67d914, 0x9521a97c,
+    0xefc258d2, 0xc0c22268, 0x4ca596ca, 0x367b0914, 0x2988ae0e, 0x60da5296, 0xbd65010b, 0xf785ac50,
+    0x08af62a0, 0x9572ea4e, 0x3a5e8ba4, 0xd39b1198, 0x2eb44524, 0x5ae942db, 0x0e804a02, 0x7bd9fbec,
+    0x2c992606, 0x9654c7c7, 0x4fabba03, 0xc13ba62f, 0x87c55c27, 0x2c8233f7, 0x7cabd10e, 0xaaee5ec6,
+    0x0f40f783, 0x1815bc38, 0x861b760b, 0x98edab5f, 0xf52e219b, 0x2d472e64, 0x78bc6b91, 0x48b2891c,
+    0x50dd3bd3, 0x2284af0f, 0xf2e11338, 0x3f5d4a23, 0x77e30d5a, 0xa4dcf771, 0xc6e1da0e, 0x5490e2d0,
+    0xf6675b9f, 0x2c423002, 0xfb2c6c17, 0xf4106c97, 0x7a4ee704, 0x14c32b69, 0x919c1102, 0xf687c370,
+    0x78770b59, 0xf846edfc, 0xddde5abd, 0x072a0595, 0xcaa198e7, 0xc8c71536, 0xa361e859, 0x50097430,
+    0x277c714f, 0x0041b9b1, 0x0d382e04, 0xb72a864a, 0x2234ab35, 0xd3209452, 0x3b135c62, 0x42861563,
+    0xaeb94799, 0x1f107ab3, 0xd03938af, 0x64fbcdd0, 0xc936fb3d, 0x08fed293, 0xdc4ee153, 0xf6d3bb0d,
+    0xd62ac588, 0xbb374add, 0xe53104b4, 0x319e8aee, 0x4d4bcba4, 0xfbee6172, 0x2c640aed, 0x8cf628d0,
+    0xb62c5d16, 0x0408ed5c, 0x9a137421, 0xe2000af1, 0x4be0263b, 0xca72a267, 0x30693f48, 0xaeee7c04,
+    0x53463a84, 0x1771269d, 0x2c11b475, 0x5e68f25a, 0xa788411e, 0x282b86a2, 0xd3c34714, 0xe0e3d99a,
+    0xd2074b32, 0x0b7af393, 0x1080520f, 0x80057c39, 0x97f15ce9, 0x6daacf73, 0x7da10a1a, 0x22dff1e0,
+    0x7bf35d03, 0x231f5877, 0xb693d640, 0x2ae31deb, 0x7d79b410, 0xc30cb269, 0x38c30d08, 0xa0b47c59,
+    0xcac242c8, 0x5797b266, 0xf09cf5db, 0x79929d7c, 0xe67764b8, 0x03914343, 0x380f0283, 0xca269e5f,
+    0xd151b9e8, 0xfa596c56, 0x5d4a4586, 0xbca40229, 0xc7e932d8, 0xbaef9d36, 0x95bf2b42, 0x2e4226a0,
+    0xeb71b65c, 0xcbc09c23, 0xa29cafa7, 0xaeb75c29, 0x9f804152, 0xd816dd37, 0x938da1a0, 0xbeb63910,
+    0x33ef8498, 0x75320a25, 0x3afaabe5, 0x42a87c81, 0x5a97601e, 0xe7ce20bf, 0x12e49351, 0x16b14a4d,
+    0x06bcc2ce, 0x26c3749f, 0x0ceffd51, 0x9702442e, 0xfceded01, 0x5c7d8ade, 0x440b640a, 0x2ee60176,
+    0x166b8372, 0x6f63119b, 0xb8dc9ce5, 0xbc4beb77, 0xe133f80b, 0xa7e1c62c, 0xdce4f5d3, 0x0026cd8a,
+    0xa68e628b, 0xc8135517, 0x8ac754ab, 0x38e55b4f, 0x585346e8, 0xd7973aeb, 0x229ba81f, 0xe0f4dd01,
+    0x8b1cfa6b, 0x050ad335, 0x66a21bfe, 0x3c73b37c, 0xc88137ed, 0x53fe5de5, 0x76615670, 0x10442974,
+    0x25024b3d, 0x77bfcb85, 0xf3583526, 0x335581a5, 0xa762b47e, 0xb15f6987, 0xf1f36926, 0x9fa0f16b,
+    0x16b8fa3a, 0xa9dd9bf7, 0xe5530bfb, 0x26aa3d95, 0x1da3c802, 0xa9047d7f, 0x81c0a164, 0xeca354b2,
+    0x4bf8912f, 0xed250ce2, 0xc410b095, 0x1f0c5457, 0x81b6dd7d, 0x52790bfa, 0x08f95f1b, 0xa69058a7,
+    0x39bf1098, 0x4f8d7d37, 0x6062bd5b, 0x01b37a08, 0xc9bcfac9, 0xc6b4d56c, 0x8f750d48, 0xcc421a29,
+    0x64627f6b, 0xd9c9a3a6, 0x7762de2d, 0x2b31b30c, 0xaf9ecbdb, 0x89f3d591, 0x0efa2a0c, 0x9976924a,
+    0x0830cd59, 0x763de8f1, 0x999afaa7, 0xc3c68ea3, 0x6697b472, 0x3b6da97b, 0x48b096f3, 0x295edb42,
+    0x0bdee629, 0x82655045, 0x77f3bc81, 0x347df47a, 0x59a8097a, 0x7cf21338, 0xcbc920b1, 0xeafc8b9b,
+    0x7bde73c0, 0x726d67a3, 0xf559e233, 0x6596527a, 0x7adc19cc, 0x51d374b4, 0x83b657a6, 0x73edd598,
+    0x3940390c, 0xa1cd6229, 0x5762277d, 0x02a0fbe0, 0xf150b89f, 0x7d71e471, 0x69e2dca7, 0x995e9e52,
+    0x6a680a8d, 0xb3379e1e, 0x29f6ab05, 0x5ce09b79, 0x95204fae, 0xfee341d2, 0x5bab9144, 0x4be89c93,
+    0x53dfca2f, 0x1b2f18d8, 0x61cc10f4, 0x6c88c5de, 0x5f7be2d8, 0xbda3eb6c, 0x1de13b7d, 0xe26a2015,
+    0xf6a05915, 0xe2fdc3ff, 0xfde28c2a, 0x19fafca2, 0xe1fddd27, 0x92b0f02e, 0xcb6e36d3, 0xa4e7c1f8,
+    0x0e015c96, 0x6daa3558, 0x11e985f6, 0x9924b5c4, 0xfdbfdb01, 0x5f7465b0, 0x1acfdebb, 0x836f4cb2,
+    0xf9b85d05, 0xe4bd8b32, 0x99f3562f, 0x8d6e2a63, 0x2d55d0a1, 0xab3c4dcd, 0x195c18a8, 0x773ed2ba,
+    0x86378fe1, 0xb4369652, 0xbfb87254, 0x06f26180, 0x2964636e, 0x91668441, 0xa052a6cd, 0xcf80e929,
+    0x5432a4ee, 0x5cdfa14b, 0xf7620114, 0x3731594f, 0xc53dace0, 0x04699dde, 0x912513d6, 0x091e8329,
+    0xbc74a511, 0xe6e5bd90, 0x0adf4be3, 0x5781d645, 0xb3a84145, 0xa7e2bc85, 0xdc6829fc, 0xfa243a11,
+    0xe2901a56, 0x2c5f608d, 0x332faab2, 0x1e0626bb, 0xb02427f7, 0x21509313, 0xc23b94a3, 0x28359a13,
+    0xb219830c, 0x658f791a, 0xc9f6a8a9, 0x9335e370, 0x8c44bfc8, 0x02e50168, 0x16638aaa, 0xd373b84c,
+    0xa784c757, 0x3ac22e2d, 0x872d6c0d, 0x27f80e76, 0xcea6a03f, 0xca5d39b0, 0x3dc01f6c, 0x44a9b14b,
+    0xe9dc6008, 0xbc07c429, 0x5bfb0ed2, 0xb3abbc5e, 0xf1e5f26d, 0x396ad90c, 0x8c893725, 0xfb26023f,
+    0xfa159420, 0xe88e99bc, 0x4b58e0be, 0x30db9e28, 0x2ab3c8a8, 0x88e2f36a, 0x54e3dff6, 0x4fca6d4e,
+    0x7d1b0751, 0x06298458, 0x23c2ca04, 0x64eec347, 0xb8123df9, 0xc3e2418b, 0x9cecfa83, 0x23fa68d1,
+    0xefb2cc11, 0xe970524f, 0x3bb8f88a, 0x07f55195, 0x4aaac113, 0xd5d3a481, 0xa6d55f1e, 0x5192e1ae,
+    0xbfde947e, 0x36db63c4, 0xd538c2c9, 0xed8aff92, 0xbf2111f8, 0xe9cf5c64, 0xa5d3c9ca, 0x2ed0daf8,
+    0x2e7e249c, 0xce805ddd, 0x6576044b, 0x06780794, 0x1b1e0a8f, 0xe0e66e8c, 0x5b320e67, 0x49e8a20d,
+    0x9a47f2e4, 0x1a7135e3, 0x65933b98, 0xba3fbe56, 0x4b20379d, 0x7086082b, 0xdca79df2, 0xdcb31092,
+    0xcdbc46dd, 0xd016e82b, 0x5728d359, 0x92357bde, 0xa3405097, 0x15297c2f, 0xce3426ec, 0x332fd138,
+    0x7afbf116, 0xf42237c0, 0xdcec965a, 0xc83047f1, 0x7097d86a, 0xef7c73ef, 0x6ee9bdf9, 0xe30d8082,
+    0xb4d448ae, 0xdb67f8e9, 0x71d1bf50, 0x230f9760, 0xb00816ed, 0x44d02df2, 0xe61bf50c, 0xe902bbda,
+    0x4cc6fbc2, 0xea0818de, 0x20e346e8, 0x3c138c3b, 0x72dff9e3, 0xf41dab8c, 0x8bf418f9, 0x60edc3d3,
+    0x9c3833c5, 0xd2fd0e0d, 0x00e3497b, 0xd9a32e39, 0x7e94f928, 0xb39ef0de, 0x0e572224, 0x6d821d7d,
+    0x3f2f63e6, 0xdbb4bd92, 0x115443aa, 0xb81ac1df, 0x337f6a78, 0xf1816e24, 0xe6e8927c, 0xd2cbaf75,
+    0xe9048372, 0xed103b52, 0x049a6ae8, 0x1baf3267, 0x1101cf4d, 0xa5b6da5e, 0x2e908d09, 0x293ce37a,
+    0xfbf53b30, 0xd0a5534b, 0x750aeba3, 0xf3b34d3d, 0x946e1e93, 0x075842cd, 0xe81d2492, 0xf97805bb,
+    0x28a34ca4, 0x05041274, 0xb4d16ac0, 0xc757dd99, 0x0ba843d7, 0x3fea45b1, 0x3e19ee2c, 0x828bde41,
+    0xf6fb7a70, 0x6a5a9341, 0x8f4ed92e, 0x3ce0db09, 0x4b6d7abb, 0x6384bc4c, 0x77975af4, 0x07db1aef,
+    0x66a7ce8a, 0x56500565, 0x6ab95943, 0x40834568, 0xa70c2948, 0x3b38787d, 0xcbf8bc99, 0x440e1c35,
+    0x01e6a311, 0x1d7fcf0c, 0x4ffc08c4, 0xa0edd69c, 0xea8b71b1, 0x91503185, 0xaccd8c32, 0x3b869c1b,
+    0x78804cb6, 0xb9e93f2b, 0x57f473a6, 0xe82aac74, 0x08c3941a, 0x03d71e11, 0xa2787e8e, 0x1b25ba36,
+    0x4c951cde, 0x0a750cf1, 0xc03a69b9, 0xa010692c, 0x756f40ab, 0xf0b766c8, 0x2b54075d, 0x869f5ff8,
+    0x863cf163, 0xabd30009, 0x5fabfaaa, 0x5aaa6ec0, 0x67180505, 0x2cbae9fb, 0x10bb5fdc, 0xe45a8353,
+    0xe15f0d7a, 0x29dee8e7, 0x90fe29c2, 0x57aa0ea7, 0x4e871422, 0xe13a4783, 0xadd1207f, 0xa5f0e15f,
+    0xf156f0d0, 0x9a3a305a, 0x1ba86966, 0x03ea7a95, 0x6ee2b731, 0x86dee46f, 0xc0e682b8, 0xcd16bf4f,
+    0x41c5a279, 0x94628906, 0xab5d5437, 0x4ca63233, 0x13e5e5e1, 0xabfcaa6d, 0x50a2761d, 0x0bb2ced4,
+    0x0a259f66, 0xcdb503a5, 0x75c99a58, 0xabbd31c6, 0x84fd9797, 0x4db49b94, 0x95854ecc, 0x64930862,
+    0xdad949a9, 0xe0707b43, 0xe15e64a2, 0xc7afe632, 0x0f8f646c, 0x2da55cb6, 0xed06b660, 0x114973e9,
+    0xb0e3743f, 0x554c3112, 0x2c823996, 0x62f7e417, 0xe6058cc8, 0x0782acc3, 0x8547549d, 0xb404a99c,
+    0xd94c5dbf, 0x532f70de, 0x2e95a88f, 0x22698f5b, 0x8ac5cbc7, 0x52b074f3, 0x8f5644f4, 0x7e7b08d7,
+    0xd197577a, 0xef53d9a3, 0xc084d5d2, 0x2a63e974, 0x5f50fb8c, 0x545b1c9d, 0xd5bd853e, 0xe3e635a5,
+    0x77b92404, 0x78b60edc, 0x3f1e6653, 0xc8d02e02, 0x4d698fe3, 0x0b990cbc, 0x9b6eefb5, 0x27613abf,
+    0x09c40b7c, 0x766a877a, 0x8adaf15d, 0x45ea83d9, 0x4c077901, 0x68a6a9dc, 0x98f0e423, 0xe31f7582,
+    0x3be54faf, 0x44d6ca6b, 0x92c5f1cf, 0x8b3a818a, 0x7cde46e2, 0x076f3361, 0x51ad1f09, 0xb017b321,
+    0x433fa19c, 0xc341d2a3, 0xff46c332, 0xd09e2d22, 0x1fee0655, 0x65cc18c6, 0x5c74183a, 0xef1cfb44,
+    0xebfe147f, 0x96e91ae9, 0x544a959f, 0x47dc8f2b, 0x309357b1, 0x8f62aea5, 0xf80e0ed4, 0xd31fd3e8,
+    0xf84c8629, 0x5f508042, 0x798c96f9, 0x38e15e23, 0xd4309876, 0x2c5d9504, 0x811b60bb, 0x8af5cced,
+    0xb480fe30, 0xbc28fd18, 0x93709092, 0x96c88fbe, 0x95e47ae9, 0xbdfe609a, 0x5c76961a, 0x0e08cd1f,
+    0xa7e39b77, 0xcca3d3b7, 0xa936a493, 0xf804efbf, 0x0294b1ed, 0xdd234f3b, 0xc228a9ed, 0x4274e457,
+    0x49cca28e, 0x0a202e6d, 0xb0bc004a, 0xfa43f355, 0xc0f680c0, 0x4ee79fb2, 0xe0e3bc81, 0x07d4654b,
+    0x6d1abc20, 0x15d112d1, 0x6ae3c66e, 0x79498f67, 0xea4a5080, 0x905c66e4, 0xdebed976, 0x3a22839b,
+    0xe0450b65, 0xd158a6d6, 0x95676bd0, 0x93b8c806, 0x3334694b, 0xd34f063e, 0xb48e7364, 0x580e6b12,
+    0x40a83378, 0x11537d63, 0xbe51e27f, 0xd3a4ccc0, 0xdca563fd, 0x70039cbb, 0x6b9688bc, 0x9c2fe44d,
+    0x5d0f505a, 0xd6cdb9d9, 0x6d328290, 0x701bad00, 0xe7a11753, 0xb89df4d1, 0xd12820c7, 0xce2afd24,
+    0x7d677b86, 0xd5374e57, 0xca3ec131, 0x422e4615, 0x2d7fa013, 0xeda5e3a6, 0x1059fa40, 0xb3238a5d,
+    0xce91b5f3, 0x279080e8, 0xd8e4d366, 0x255e1598, 0x5f9b4626, 0x175efa77, 0x8faf15dc, 0x8899b3ff,
+    0x50e0eff4, 0x4b8a869a, 0xe20ccbc7, 0xfaecf9cd, 0x1111b3d5, 0x159007a9, 0xf957e006, 0xd818cdde,
+    0x616c7be2, 0xac0e2cc1, 0x00b670ae, 0xdbae3d25, 0x56538664, 0x8f23679f, 0xe266bcbf, 0xaaa8ce93,
+    0xd3d8e9d8, 0x0f558b8e, 0x62b3a6c4, 0x188c6d3b, 0x469b7857, 0x890540b5, 0xcacf74d6, 0xd4f15f87,
+    0xbdd4d469, 0x4dae1780, 0x17192a6d, 0xb15282a2, 0x821f8dd2, 0x8d52f59e, 0xf7b6bd45, 0xc7636b3e,
+    0xd3b5e163, 0x8a6c265e, 0x19cffdf8, 0x86e02a71, 0x5372791a, 0x6d6c4e8e, 0x9a711838, 0x3b29e753,
+    0xd369ae28, 0xba2c0a85, 0xe8cd3e5a, 0x2ab8dfc1, 0x44639a24, 0xc9befdbe, 0xbe0c48a8, 0x3f76238f,
+    0xdbbc2828, 0x378466d1, 0x8dd33e43, 0xbfe32bd4, 0x388c075c, 0x24f9ce17, 0x2d2614d2, 0x527f28c1,
+    0x23c95811, 0x9548e390, 0x89af65dd, 0xed626aaf, 0x98f889af, 0x5740a61d, 0x0fd7377d, 0xf21065a6,
+    0x00000000,
+    0x157f8deb, 0xf6d3365b, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000005986310706507378352962293074805895248510699696029696 */
+  { 0x00000000,
+    0x07718184, 0x642a2ddc, 0x11780408, 0x8b33073f, 0x49bcd4a1, 0xecbcdb46, 0xdcfead16, 0xb00f0bd4,
+    0x11286075, 0x5018966e, 0x35c5dd5e, 0x4141bdb7, 0x9466637d, 0x23aaf87d, 0x354ecced, 0xd223eb5e,
+    0xc9e20c10, 0x25c03ebe, 0xbd5ab979, 0xbd1cda02, 0xedb1f57a, 0x9e827589, 0x34d42d8a, 0x1a8cfd1b,
+    0xa709e927, 0x33135cf3, 0xd685fbd7, 0x91f7d3c6, 0x382878fd, 0x02091655, 0xb46639a1, 0x03158cec,
+    0x1081555a, 0x7d1867f8, 0x09ddd29d, 0x092a3660, 0xb0eaec56, 0xe9cabaff, 0x364bcf76, 0xc54d2f47,
+    0xf88d57c9, 0xa2030a23, 0xb10e5d04, 0xd9cd70ae, 0x5df4825d, 0xe7730c91, 0x5f4865de, 0xef144ef5,
+    0x73881596, 0xa7fdfc2e, 0x9c22d240, 0x754ab75c, 0x2ea6d471, 0x9452e174, 0x645f6366, 0x1f6f5253,
+    0x33a72465, 0xe4b42d61, 0x1e924f74, 0xdaebbdc5, 0xdc66502a, 0x05ff7dbd, 0xebfb6fbf, 0x5956adc5,
+    0x5b17e87e, 0x29013b0a, 0x67ca461e, 0x52b1832e, 0x0f9e282f, 0xdd06f6ad, 0xc72eaa06, 0xb215e555,
+    0x2b23c154, 0x92c0f548, 0x85203a34, 0xeee92576, 0xec3ee306, 0x80560e76, 0x829828b9, 0x6ce73d78,
+    0x5b2f6ca6, 0x2fa0a307, 0xc4f57d99, 0x05b101ea, 0xd3bbb743, 0xeeed6549, 0xf92955ed, 0xbc607539,
+    0x4384648d, 0x2cfe8734, 0x1690d898, 0x99c7204f, 0xb60256e2, 0x3d41f6ee, 0x563ea030, 0x31ed413a,
+    0x77353602, 0xaf053788, 0xc3eb7725, 0x189e6063, 0x4bc6fec0, 0xa37763a9, 0x3e364773, 0xe82b5cf6,
+    0xb8fa68d9, 0x687b848c, 0x2a2d0d41, 0xb636fdeb, 0xb5a901af, 0x6ed05da4, 0x6952654a, 0x04035a43,
+    0x7f68bfed, 0x2c74a89b, 0x01c18324, 0xf6563ddb, 0x24663bd8, 0x5a16a741, 0x58de61ee, 0xd4054fba,
+    0x0e75c339, 0xa469c4dd, 0x85be8841, 0xd90e2b99, 0x771e2ad3, 0x3a376304, 0x82524ba2, 0xc3d64022,
+    0x153b94d6, 0x937216ed, 0xa1ed62a2, 0x3a12353a, 0x3ef32c37, 0x0bdda00b, 0x92f289bb, 0xb6cfab61,
+    0x8d85cb4d, 0x257abf95, 0x296db9de, 0x1af17f41, 0x1fc9967e, 0x493c8cd6, 0x97fb794d, 0x54811a0c,
+    0xdd701464, 0xadcdff06, 0xa7e3954c, 0xd62f5479, 0x47616bb6, 0xf2c8a9c6, 0x8da7d649, 0x6e440688,
+    0x7e1bcd47, 0x618897b3, 0x53a22cdc, 0x84396095, 0x7ac684bd, 0xf8b71442, 0xc2aa0443, 0x1bf4ffdb,
+    0x164ebebe, 0x6e4a6e5c, 0xf518b6f9, 0xf451fa5b, 0x05131b82, 0x6df28930, 0x4e1636e4, 0x0019a267,
+    0x7a91dbbb, 0x859a80c1, 0x5a871b7d, 0xb9e1e269, 0x9cd7ad2b, 0x7309d4e8, 0xb2eaeb4b, 0x4605f98d,
+    0x56237703, 0xf55278d7, 0xd05782aa, 0xa3c653e1, 0xa532ef5a, 0x84d1f2dd, 0x967fe5ae, 0x61c72367,
+    0x94809487, 0x4078fdb0, 0x68a594c2, 0xa21227fb, 0x41f41e23, 0xd3c69bf3, 0x15535af9, 0x8bd7a92c,
+    0x9c1700f7, 0x99aa7eb9, 0x24d7bcfc, 0xfc453040, 0xa0815ff7, 0x8cd37bc6, 0x3e410a4d, 0x1d9aec32,
+    0xf12469e4, 0xdeafb857, 0x318a1b41, 0xaaa0bd6c, 0x9f5024e1, 0x408779f8, 0x9236c11d, 0xe85877cd,
+    0x42a52aaf, 0x89abc90f, 0xe0f050c2, 0x25cea21f, 0xabc1447a, 0xe8dacc5e, 0xc22d0f65, 0x6ebfabdf,
+    0x493c69fb, 0x9f0d85ca, 0x25a9b1c5, 0x30ed4667, 0xe0011b65, 0x075d546d, 0x625821f6, 0x854834f9,
+    0x90457806, 0x7011955f, 0x77f7bf86, 0x15c58aff, 0xfc14e21c, 0xd101789a, 0x34f8aa10, 0x41b09b77,
+    0x117a3cbb, 0x39fbc1af, 0xf23c57ed, 0xd05f796f, 0x5e3186a5, 0x77d1949c, 0xd6b75856, 0xe2f3a554,
+    0x5b9fd369, 0x1228e291, 0x0146e7dd, 0x292ec9d6, 0xd5448606, 0x8392e436, 0x4def0084, 0x938b8322,
+    0x27f38f9b, 0x04cbe656, 0x2cb06a6f, 0xa950cb37, 0xe06921cd, 0x8564d4a7, 0xc51837e9, 0xc1bec99c,
+    0xf4b1e430, 0x9e17490b, 0x60833a5f, 0x1b9fe070, 0xc35837b8, 0xae847f58, 0x8957db0f, 0x92091cd8,
+    0xee901da1, 0xf35316e2, 0x49e0151b, 0x6a220850, 0x6793cbf9, 0xfef65f2e, 0x93441717, 0x2fbe3c7b,
+    0xa1f8a828, 0x6fbb6d51, 0x76c0bc44, 0xe880847d, 0x47fccd86, 0x6b2d3001, 0x788159ca, 0x6a886160,
+    0xa369df48, 0x8c94ce7e, 0xd688c5a1, 0x93cee02d, 0x2b1d9362, 0xbc288dcc, 0xb0895e22, 0xe8e55090,
+    0x29b5a2ce, 0x1f99c1c1, 0x26886c73, 0x26dcbabf, 0xe04e76e9, 0x5dd20b50, 0xa13708cd, 0x628792df,
+    0x7a51cc5e, 0x7738a23f, 0xa2af91c3, 0x2eff8008, 0x2a80c20f, 0xbe62717e, 0xdc81b651, 0xf79fb748,
+    0x5611ed90, 0xf7fe2a6c, 0x4afd9ab2, 0x31afb138, 0x6c75e3f4, 0x2de22bd3, 0x22f1b20f, 0xfa7f9de4,
+    0x489d1a44, 0xd54d1842, 0x9cfb4a52, 0xeb38d811, 0xa23fcaa0, 0x05bc578d, 0x9ea21b85, 0x1a0494b2,
+    0x7963f32f, 0xa8a83160, 0xaa09b572, 0x33df3b4f, 0x7e701b5d, 0xb4c31d85, 0xe8ac8fde, 0x766fd328,
+    0x3a596efb, 0xc0cb3d70, 0x3eacbe59, 0xf930640d, 0x603ebb76, 0xe49db06a, 0x6e1f1661, 0xe1342c2d,
+    0x4743ec67, 0x8ccedba3, 0x42e8463b, 0xfe362334, 0xa38f34a4, 0x04445ab6, 0x2beb5686, 0x6f218520,
+    0xcb7105c8, 0xbc6bb5dc, 0x34bc08ba, 0x241107b3, 0xaff20a17, 0xac449748, 0x8d650574, 0x6b8a6a0b,
+    0x0d2521c2, 0xb8b01143, 0x688b44a4, 0xb57fc86c, 0x3561d258, 0xc4495e04, 0xcce3e09c, 0xc33b8659,
+    0xcd8fdae5, 0x45086806, 0xde5fcb7a, 0x39eff741, 0xcb319111, 0x22e88f83, 0x18f1799d, 0x84d76102,
+    0xbd21f9e7, 0x9f85758e, 0x3720ee36, 0xf028b873, 0xdec92838, 0xe752e88c, 0xae0e2af2, 0x8b413e8d,
+    0x8441a070, 0xd6c98dbd, 0x149cb82a, 0xb0128341, 0x3fd999b4, 0x67438676, 0x40067a5f, 0xd3791839,
+    0x1e4bab7a, 0x06654984, 0xd7c18f46, 0xee02f86b, 0x9d7a5c63, 0x55c3417b, 0x6e13b448, 0xf8682889,
+    0x1ca1eac0, 0xd99daae8, 0x63d001da, 0x0c541e1c, 0x23433cf4, 0xc08a2750, 0x5138a2ca, 0xd950cae5,
+    0x4d771c25, 0x23067504, 0x72127aeb, 0xf901d094, 0x37e5af9f, 0xbb0f3021, 0x13d51b85, 0x4051a9bd,
+    0xe2d5b805, 0xa6d5af6f, 0xad9dd529, 0x774faad6, 0x31aeb1e0, 0xe8d069cb, 0xf41828e4, 0xec8ed0b0,
+    0x6e9554e2, 0x171b4cde, 0x76b57c3f, 0xaba4a19a, 0xaa274bb7, 0x38dd2b5c, 0x8c98a963, 0x4bf5d485,
+    0x05b3766d, 0x0adf7d15, 0x02fd879b, 0xc0c0b099, 0xe077b3fa, 0xffc78414, 0xf03292ad, 0x3ff3f31c,
+    0x845a0a8f, 0x7d75ac98, 0xb9155ea8, 0x7aecc598, 0x86a3dffb, 0x8813d491, 0x9fbe28b8, 0xaf653f8b,
+    0x402c27f9, 0x44212d80, 0xb01cd1d9, 0x454b6fdf, 0x02957c52, 0x66043f94, 0x68ad3333, 0xe5ed3ded,
+    0xfe3f1100, 0xbf63c2f8, 0xee1d7f35, 0xfcdde826, 0x4d01e1f2, 0xe8010d56, 0x3581a13d, 0x46ac09d3,
+    0xd4f6f49c, 0xa873e694, 0x0246bf6b, 0xab961e5d, 0xcae5db1b, 0x5de66ba7, 0xa11ab0e0, 0xe503fb04,
+    0x0184bfb2, 0xdaf50f20, 0xea709e54, 0x778a8319, 0x256496c1, 0x19f2ad43, 0x9e17f6dd, 0x92c16992,
+    0x9f926c6b, 0x34f5beb8, 0xf9bc0785, 0x0073c757, 0xfb52d538, 0x8a20298e, 0xcb8ae3b3, 0xcda2f040,
+    0xf7ab471c, 0x228baac9, 0x3dde951f, 0x6a6f0758, 0x37517547, 0xcb310345, 0x3666547c, 0xf918bc2d,
+    0xc95d2988, 0x085614e9, 0x5efb85d0, 0xde6875de, 0x6657043d, 0x5c7a5183, 0x7b5c9238, 0x7771a382,
+    0x2585da35, 0x2b5b8bb2, 0x019e602d, 0xf621c09f, 0x4a2ab20b, 0xb61215d3, 0x6a25a79e, 0x2d7ceb5d,
+    0x90708e0b, 0xe9321501, 0x9f02e996, 0x5c4ab5c1, 0xde56500f, 0x2f1efee3, 0x27cdb6d6, 0x6f1ab031,
+    0x461e3455, 0x20933376, 0x5bea85a1, 0x6cc399b5, 0xdb52ae7f, 0x63ed62a6, 0xe74dc1b9, 0xb076454c,
+    0x7aa2f5f8, 0xf74b643a, 0x5ea4c5a2, 0x2ff067af, 0x89f3e731, 0x15654f74, 0xb4a7e5ac, 0x8d68ab46,
+    0xb63b4f64, 0xac8011bb, 0x768e6871, 0x5ba825e1, 0xf35b5cff, 0xc1c5ccfc, 0xb6757af1, 0x633261db,
+    0xc02d4189, 0xcd24f94c, 0x913afbc3, 0x11f62acc, 0xc3f169d0, 0x473dd689, 0x061652f3, 0x98a94c7b,
+    0xd3faeb18, 0x42b952fb, 0xe6e2d806, 0x4522a4a9, 0x946fe193, 0xe511b874, 0xf69e459a, 0x02990acb,
+    0x2f77e4d3, 0x98b4ff47, 0x9ca2ae6a, 0xc39f9228, 0xc07ea506, 0x83bab45a, 0x15fb6e8d, 0xf80db0e6,
+    0x6ad5b565, 0xbeeebe81, 0x5f96c184, 0x66ba999f, 0x40937e38, 0x84ed7188, 0x95db4cb9, 0x414f332f,
+    0x1091d594, 0x15bddfbf, 0xd15c0b9f, 0x576ce220, 0x3120d906, 0xc9661ccb, 0xa8da0787, 0x5bd80f71,
+    0x0c22bc3d, 0xd433b62e, 0x8c0b0c01, 0xbc9cfbf3, 0xb4650472, 0x5ed4f555, 0x54bc91d9, 0x9ed7d9af,
+    0x4e7a327f, 0x1d8a2587, 0x5adbbf81, 0x67009e9b, 0x37d51226, 0xbe9fcdee, 0x99f5354f, 0xffd998a8,
+    0xdec9a4ae, 0x147b3ecd, 0xec36d812, 0xe9ae7b9b, 0xf748f52e, 0x66d28c62, 0x32f80b26, 0x97f5538b,
+    0x57eabd07, 0x76f82e10, 0x2de49c6e, 0xc634f835, 0x835ff858, 0x2d201e41, 0x2f54eed6, 0x32deaf56,
+    0x4ca497e6, 0x31617ddf, 0xe74efe18, 0xe19da67d, 0xbd32a945, 0x481b9ef3, 0x61e17d01, 0xe581031d,
+    0xc2b967e2, 0x2bbe7667, 0xbed084b8, 0xc2f2e841, 0x512917fb, 0x8167f748, 0xd737c511, 0xc49c4314,
+    0x6b826b87, 0xa52a08c6, 0x1eeccacc, 0x603bcfcf, 0xf26f5d6b, 0x57abb67c, 0x089cfb68, 0xe7c16b9e,
+    0x33ed1b1f, 0xfe372378, 0x826c51c4, 0x43f38763, 0x91553d06, 0x508a52a7, 0x07d18e22, 0x3f00d01f,
+    0xe919685e, 0xd28c1d1d, 0xfeef305b, 0xe13c0050, 0xb4581730, 0x569d684a, 0x53251675, 0x95a92475,
+    0x2c637b07, 0x267a8ae3, 0x0eced544, 0xfb1b4e2a, 0x0e9a0a02, 0x85decc25, 0xc101a040, 0xe107a69c,
+    0x39be3438, 0xf7398c74, 0xa80b3dff, 0xcfa6eac7, 0x0f9288c0, 0xb12071be, 0x9e3c5341, 0x3405427c,
+    0x5105fbd1, 0xe34f531b, 0x16d6c36f, 0x4caa95c5, 0x819d846c, 0x41a1f043, 0xc0531c96, 0x4d143bd8,
+    0x316edea4, 0xd9e65b8d, 0x17928068, 0x0bc64740, 0x9f80bafc, 0xe94aa799, 0x84e0e29a, 0x5e2504e5,
+    0xcb9212c6, 0xa3c3a0e2, 0x6576c68f, 0xc85b9230, 0x61f5488f, 0xb1aae564, 0x0a0345ee, 0x3dd19ccc,
+    0xd840e456, 0xaaf9569e, 0x7676552d, 0xc860e46c, 0x01cb7448, 0xcc34a68e, 0x65d16430, 0x8e7eb466,
+    0xacf736a5, 0xd4ae12ce, 0xc1bc7ead, 0xbda9edc6, 0xf77e88ec, 0xd0fe4497, 0x9d55144c, 0x06ab12f5,
+    0x76614927, 0x56079d7a, 0x6a673079, 0xd5435479, 0xd682649f, 0x9419b3a8, 0x1005326c, 0x3f50bf1d,
+    0x8fb8d4ca, 0xc56d46db, 0x69c695bd, 0xcb9edceb, 0xc79854e3, 0x9988b768, 0x55f23da7, 0x0d18731d,
+    0xae460882, 0xc3b9cac6, 0xd3000f43, 0x7d910f7c, 0x150f3d1a, 0xa1c640ec, 0xb8476d97, 0xe9bc7b5a,
+    0x93ee1a2f, 0xb419a146, 0x23dbb26f, 0xd7644f8f, 0x5153cc28, 0x72f797ce, 0x427fbbdd, 0x961bdcb2,
+    0xdc2df2e5, 0x37a61c1a, 0xfb1c9790, 0x8eb5d8da, 0xd87e05b0, 0xaf652704, 0xd27ecd6c, 0x55d61481,
+    0xef303c63, 0x1f6becd4, 0xa0343310, 0xe6f2bae8, 0xdc6f4a79, 0xc6766ee5, 0x8925801b, 0xc0b97683,
+    0xf697616f, 0x9d9b38be, 0x0453b68b, 0x4c270baf, 0x9571ae74, 0x05b2c435, 0xe309cdb2, 0xc2972147,
+    0x664a3bb0, 0xc819d630, 0x6d97187d, 0xc17ac526, 0xcf724d25, 0x498d0556, 0x00f48ae3, 0xa9159ee1,
+    0xd589ba74, 0x35a5e7e0, 0xcf16c6dd, 0x1e0c2d24, 0x5dd04b90, 0xab43adea, 0xc6edf1b0, 0xdf65fc7e,
+    0xbdd6982d, 0x2b1e39ea, 0x42afb494, 0x6f71bfe6, 0x1e5d0d5e, 0x6b4db638, 0x3a1e8db7, 0x4ec103d8,
+    0xe5f08713, 0x9335ec55, 0x35b29041, 0x75782434, 0xc6b459ab, 0x48f18171, 0xe3270075, 0x5629ab72,
+    0xb9a545a0, 0xbe1431ad, 0x26b57ff2, 0x7e7303e1, 0xa4c30059, 0xa792718e, 0x7d9cf7a9, 0xed658ae3,
+    0x869bcced, 0x21c33dc0, 0x7500ae63, 0x38014b9a, 0xee294b66, 0xef7b009d, 0x8ce6b54a, 0x30a7256e,
+    0x08f171bb, 0x9e410af1, 0xf80123f5, 0x96a43d86, 0x1649acf5, 0xb8d347e8, 0x27865cc4, 0xa7f458c0,
+    0xb4ba047d, 0xdf163b06, 0x2febe6d1, 0x9d5a0352, 0x2bd48e9e, 0xdf54ebd0, 0xd4e28687, 0x1cc57176,
+    0xec6f5ac1, 0x3e2fbf37, 0x1c489c75, 0xe0f060cf, 0x5356b5c2, 0xfb97f713, 0x6c21c086, 0x043e7475,
+    0x209ac321, 0x8074f9ff, 0x16e1c3b3, 0x0e464e10, 0x2d56afe9, 0xd5a5dfd8, 0xcbf3ad11, 0xc4e096f6,
+    0x7738aff8, 0xa087bf9b, 0x2bde212b, 0x2f0cc830, 0x5b14b351, 0x849d2268, 0x153853c1, 0x63daf42f,
+    0xc2116a97, 0xc9ce13d4, 0x10a7a09e, 0x2141d82f, 0x174294b1, 0xa019506a, 0x529db665, 0x17a228ad,
+    0x0abd574b, 0x5e23f86f, 0xa08d9223, 0x3db399a2, 0x0ab272a4, 0x9a1f56b8, 0xdcdb6ee6, 0x52222836,
+    0xfe1c50b5, 0xc2c10da3, 0xf22a1a94, 0x304141e3, 0x49f53321, 0xe70c61af, 0x4aa931b2, 0x1dbc5477,
+    0xe7b43146, 0xdce81dbc, 0x8831ca55, 0xf176a8d0, 0xe7550329, 0x58dbabb9, 0xb39a6ba2, 0xd1793e71,
+    0xf44e4a32, 0x6ff06e5f, 0x1b32877d, 0xcd113a85, 0xb09f94f4, 0x94c685fb, 0x43772797, 0x82bd4629,
+    0x78c7ed7a, 0x281541e6, 0x4ee53230, 0x45410172, 0x24cdd32b, 0x8f87d839, 0x8c2e8b39, 0x30bd2b95,
+    0x282fdda0, 0x2cd4ad24, 0xe02433fa, 0x81f4bc39, 0x901be5a3, 0xcfad4cee, 0x2b220218, 0x4d5f984a,
+    0x0044d488, 0xbb0e95d0, 0x14049776, 0xbbf5bbe5, 0x7c4c00ab, 0x748b1e8d, 0x60d72f45, 0x99c42707,
+    0xb4e45589, 0xb4619286, 0xadf3e69b, 0x03511a92, 0xd6e2c7c0, 0x73bb3ab5, 0xb32d61f1, 0xb41cca1a,
+    0x00f14b36, 0x0fcc600b, 0xd4b87102, 0xf9baaaa2, 0x59fc72e2, 0x0b526532, 0xf8c5aea8, 0x11662720,
+    0x4a36d4e0, 0x0d4e00dd, 0xdf41f33e, 0x7f879d9b, 0xe3ba28a2, 0x4a63ecdf, 0x46332041, 0x9b2896aa,
+    0xea5d71d9, 0x70e4a4ee, 0xb6359c1d, 0x253241ed, 0xb39ac665, 0xb1ed2eb0, 0x684a9a48, 0x94afa5a9,
+    0x50c9dcda, 0xb9ce0cfb, 0xe317aea1, 0xce766926, 0x4ed3721c, 0x4332a9b2, 0x41d69791, 0xc68b7dfe,
+    0x6b488f4f, 0x637967bc, 0x2ba08aed, 0x7030267e, 0xda691bae, 0x198f0bf3, 0x3540f804, 0xdcf23d23,
+    0x8ec4eec6, 0x73016bca, 0x6bee8d84, 0x1b1a6c17, 0x3791f2e0, 0x3056bc15, 0x74d8c4ac, 0x715b72ce,
+    0xff3c5dcf, 0xd3ba9a5e, 0xc72b8e17, 0xf424d78f, 0xa01a9424, 0xfcb51356, 0xc3a5f0a4, 0x66c4136c,
+    0xbe7aa531, 0xbf60c8e1, 0x6f98f20a, 0x6523dc9c, 0x9144572f, 0xa248e18c, 0xb99374da, 0x36ee9e7a,
+    0xb3c2cefe, 0xb37b99e8, 0x9b2d0d6c, 0x817e89fc, 0x2fa71f5e, 0xdb43194b, 0x67523602, 0x566922ea,
+    0xb9d9dd75, 0x2b93ea27, 0xf3d76874, 0x7fd6e76f, 0x0f6c03ad, 0x44589ff1, 0xa34441f4, 0x0e43aea5,
+    0xd911d697, 0xb4735ef6, 0xe80ee374, 0x49cc669f, 0xbe2bf095, 0xb3091158, 0x142f327e, 0xb005f651,
+    0x00000000,
+    0x8abfc6f5, 0xfb699b2d, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000002993155353253689176481146537402947624255349848014848 */
+  { 0x00000000,
+    0x1b97b34d, 0x550c32e2, 0xd5bbbaa4, 0x9b43c6b6, 0x57af70cc, 0xe0c9b97c, 0x0e0a679f, 0x488c2576,
+    0x1ab77183, 0x9fe9d565, 0xcf69a105, 0x7999cb3c, 0x7d4a6c97, 0xd92685c3, 0x92247847, 0x626ade58,
+    0xe8d260eb, 0xc6ed1e9c, 0xccbbf07b, 0xb31d0aaf, 0x5aab9bb0, 0x632ac385, 0xf550e14f, 0x68fe0fce,
+    0x0b79f6b5, 0x7a117bd9, 0xa85f4c94, 0xd6605fd5, 0x63668e0f, 0xcdaf3e47, 0xd89401f7, 0xcff7c392,
+    0xc8ed608d, 0x77e4fc62, 0x7899039d, 0x84e1eef9, 0xe41e56cf, 0x1fa6530b, 0x8fa4200b, 0xbfff57a6,
+    0x000cab20, 0x918241ae, 0xf5f25793, 0xf318b031, 0xfae4f734, 0xa7bdc277, 0xd66486ca, 0x597c61e5,
+    0x90140b3e, 0x7ac528e2, 0x24e23170, 0xd4e2338d, 0xa7292752, 0xb3dc1a5c, 0x21f0263a, 0x20a22dcf,
+    0xa4429c4d, 0xd46c2992, 0x1ccc5ff7, 0x13e25481, 0xba41b40a, 0xb7288107, 0x4ba70b4d, 0x387bf46f,
+    0x1593855c, 0x8aa991eb, 0x730f9a56, 0xbee27402, 0x0dd04b60, 0xb7f82908, 0xae7a5082, 0x0535f774,
+    0xebf1d1de, 0xbc9e00e5, 0xda90c6df, 0x2a1e7126, 0x0ac01c29, 0x63da0122, 0x4845a42e, 0xf0eb9388,
+    0x4f2c5f3d, 0x600a3fdd, 0x4bb8e662, 0xcf5740d9, 0x4e340338, 0xfbd8f0f1, 0x48e23185, 0xf7d9da6b,
+    0xcbf6d22a, 0x95f65d71, 0xf0380470, 0xd9c3423f, 0xc67a6b87, 0xb8936056, 0xf44f3b34, 0xb4a5d495,
+    0xa062d430, 0x89c62b3d, 0xc951298f, 0x4dea1436, 0x8e7ad439, 0x5f860d41, 0xed72b7f2, 0x01ed64ad,
+    0xa73e192c, 0x1a47cc29, 0x16e05bd4, 0x917c26af, 0xc25efa2b, 0x9c2d3af6, 0xe1b76e38, 0xa3f7d635,
+    0xb966384e, 0x1d10fd90, 0xa3c6825e, 0x73d250a3, 0x7a2d698d, 0x1a17f4c9, 0xba8d8e73, 0x9b33adf5,
+    0xd22e58e6, 0x227e890c, 0xeb4eb778, 0xbb7af761, 0x0c75b706, 0xae0ca285, 0x7e8e6620, 0x56c9393c,
+    0x081a69ba, 0x680fd4b8, 0x12e3e5e8, 0xc981a3c6, 0x7dfa1666, 0xd404186a, 0x21b5f55d, 0x70d278f1,
+    0x5b73c55d, 0xc8ff48ee, 0x819e8704, 0x2070c832, 0x632ea233, 0xeebbd0aa, 0x409df17d, 0x5edd743d,
+    0x098bd8c2, 0xd7c17cd8, 0xe2bc0415, 0x15016f8f, 0x22b401f6, 0x7019107c, 0x2b7ad290, 0xada1141f,
+    0x3b8f7c9f, 0x7604d6be, 0xe01678d9, 0xc913d370, 0xc49bbddd, 0x5ff6bc06, 0xdb701ad4, 0x14996b9e,
+    0x7e72b9ec, 0x5aa3a54a, 0x146a4d85, 0x7e0fdd2d, 0xda255d5a, 0x997a1bdc, 0xec2b1d02, 0x05e5c505,
+    0x5dbe69ed, 0xd084e1d2, 0xdca76eb1, 0x618e1648, 0x5a2fa0b7, 0xf24e8202, 0x9dd17528, 0x591af192,
+    0xd49f6b4a, 0x71534452, 0x63e0ed4c, 0xa9b704b7, 0x64644055, 0xedf20b31, 0x3393ea44, 0x24b3d152,
+    0xce78addd, 0x44b2b464, 0x75c594d5, 0x608462d5, 0xb472b105, 0x22bf3d8d, 0x07d21929, 0x18f110e3,
+    0x1a4d4102, 0x258f6ac1, 0x726c3b72, 0x232c9600, 0xb81cf771, 0x6df816ae, 0x87fd7f37, 0xd9732b9f,
+    0x508b5d60, 0x4daf373f, 0x16b80b0b, 0x2de0a244, 0x8ed794a4, 0x4f63b6ef, 0x0d8dff2f, 0x3a55a650,
+    0x082159f8, 0x99eaec9c, 0x1cd7f200, 0x0ba351a3, 0xcc9c7dfa, 0xd6809862, 0xaf7b183c, 0x8a4513b6,
+    0x01ceda45, 0x9537e653, 0x45c77ff3, 0x66aafa03, 0xdc763fd6, 0xa9810dde, 0xb90de81e, 0xb9061aa4,
+    0x28a1d07b, 0xf2697128, 0xe03816c3, 0x45da1b01, 0xec0c5edd, 0xe1304c16, 0x2da9eca7, 0x18a6f4ea,
+    0xd0bdf7ba, 0x58f36e11, 0xd52f3a8d, 0x804f8030, 0xb7cefb52, 0xfd41c8c7, 0x556bb35d, 0x3122a04e,
+    0x7d7467a6, 0xbfb4515d, 0xa9f84f32, 0x72aefe1d, 0x9a224074, 0x0ab61bb5, 0x5ce5d333, 0xa6543e08,
+    0x0bf546fa, 0x63dc52bd, 0x8fc701c5, 0x70b19d0e, 0x85fe8f57, 0xe2d3176a, 0xa2ba5057, 0x4a000e76,
+    0x3c2c34ed, 0x126af0cd, 0xc1da353b, 0xe9fd3ffd, 0x1b4eec48, 0x3fcd896e, 0x517fc381, 0xaca32df7,
+    0x11ab6f4e, 0x85d8c116, 0x49c3ecbf, 0xca2a4db5, 0xec1ff040, 0x3b1da10d, 0x115ab629, 0xca2135c8,
+    0xfe106828, 0x4b695d2c, 0x56d1aa73, 0x4ddab205, 0x5c775f8b, 0x9fada55d, 0x2dc97116, 0xd3039cbe,
+    0x979881b7, 0xa4aacb78, 0x29b9a20c, 0xfb81a995, 0xd4dbf403, 0x578f3fc7, 0x4c43f7b0, 0xd3e95778,
+    0xf1c44bf6, 0x49ac0768, 0x1f83d5f7, 0x6cc6cfab, 0xef1106ac, 0x19463f91, 0x62b3ab92, 0x998cc4c9,
+    0x582eb5d9, 0x079dd51d, 0xba00b1f7, 0x4885484e, 0x8eb3e7b2, 0xa87d4135, 0x764fb888, 0xe45823c4,
+    0xf0c449a2, 0xeaace1b9, 0x1b7d88d5, 0x65b1ce9e, 0x8300fae4, 0x53340138, 0x3465d7e6, 0x604d4098,
+    0xc4c13f65, 0x4ead01e1, 0x70b4f973, 0x2982dd66, 0x50275b06, 0x290bd6ef, 0xacd0d518, 0x4dfa0e67,
+    0xa9cfd80d, 0x18a69516, 0xe93fa232, 0xc7f62f8c, 0x1e3c78dd, 0x3bad1965, 0xa841a4ec, 0xf6bf66a4,
+    0xf74258bd, 0x6ed8294f, 0xa81d58ea, 0x20adaaba, 0x1e00e3f4, 0xa6ff8fc2, 0x96679176, 0x878933ea,
+    0x67f17dbe, 0xfb7976f4, 0x24b57465, 0x30ca3b66, 0x2529e8f3, 0x9f2ffa6f, 0xc5f5ba16, 0x1ed93556,
+    0x16feb999, 0xb0a4ed66, 0x11789613, 0x09e705e1, 0x21bb9a63, 0xfb4cc533, 0x5c72ea6a, 0xc4782a1d,
+    0x5d859f58, 0x9136b223, 0xbb9057ce, 0x56f53c9d, 0x8d9007ec, 0x401f849c, 0xa8204d43, 0x00e6a03f,
+    0xc7a04f6f, 0x3d8939d2, 0xe9419543, 0x5ca5fc69, 0xec87b1c0, 0xd9378e9f, 0x9a90a2c1, 0x539596ff,
+    0x8d449eae, 0x0d7ee098, 0x420b4f32, 0x4065f58c, 0xc5a377a4, 0x14cdd44d, 0x825a6340, 0xa3c0b856,
+    0x7787b775, 0xe88c6992, 0x739325c3, 0xb1702623, 0xfa0688cd, 0xb03f9a18, 0x97d3a3fd, 0xe26ca822,
+    0xff42bfa8, 0xf400fcdd, 0x9115480b, 0xab823ef4, 0xcbdb1a13, 0xfe8c8537, 0xb9be06d8, 0xfe6897ef,
+    0x690eb137, 0x38494932, 0xdb80b012, 0x26e68108, 0x532a0951, 0xd6abddb0, 0x80cc2568, 0xecf7ced2,
+    0x3aa9bbba, 0x4d80d505, 0x26638aa8, 0x077c4a16, 0xfdd5b27d, 0x1fb353d0, 0xfd34663c, 0x3ec9e995,
+    0x16e87b8a, 0xd5658cc4, 0xc4ed2a74, 0x4a2095a7, 0xdb80538a, 0xfa79c878, 0x6672cd61, 0xdc6012ac,
+    0x724787c7, 0x33a74387, 0x3ed44b1b, 0xb8a3d3f7, 0x85a973ce, 0xaba020cc, 0x7b7ed06a, 0x90427430,
+    0x35ca5eda, 0x0f73d238, 0x03f4f1fe, 0x635f4ff6, 0x2f9d872b, 0x26d7afd3, 0x4a443071, 0xfff59db5,
+    0x6b8242d1, 0xfb5b305d, 0x237e4be9, 0x19e5c205, 0x5c0bbd07, 0x35586c4f, 0x782da9b4, 0x536a8004,
+    0xe9f15c1d, 0x2e6af4af, 0x82bfb1b9, 0xf3ee967b, 0xd2b98f66, 0x6fee9af3, 0x7f9b65cc, 0x84afed33,
+    0x55ef3b12, 0x0d59f93a, 0x8faa2e6e, 0x55152534, 0xb9d04a0f, 0x7e682e32, 0xc2085234, 0x9f77e1f1,
+    0x0de28d44, 0x8c143463, 0xf5176b48, 0x9ca23baa, 0xc3e681ff, 0x7861ec1f, 0x21374e3f, 0xda34c16e,
+    0x81e7437e, 0xcb22be57, 0x8e0a90f6, 0x8192efc2, 0x858c4e5c, 0x15254b5f, 0x34da3631, 0x624e823f,
+    0xd4378aa6, 0x7d1e9bbd, 0x972d5355, 0xe6fe46dc, 0xf6fc0d8a, 0x7487afe7, 0x9d07ea5d, 0xccb74567,
+    0xe0cd4e71, 0x64bf1c99, 0xc59af24b, 0x43a256a7, 0x80dbb00e, 0xf24a17dd, 0x9fd8c059, 0xdcbc5942,
+    0xa906daa1, 0xd3cccad8, 0x2148bb69, 0x8f2769ce, 0x217f824a, 0x350616e8, 0xf2f48dbc, 0xf44fa2a6,
+    0x83029c34, 0x08ee2717, 0x83f7f994, 0x63f30100, 0x23a01ef8, 0xfafdb0f5, 0x883d5174, 0x7b1cc6b0,
+    0xe3550649, 0x5b87c947, 0xac33ca73, 0xdd684de9, 0x87628b14, 0xdf331502, 0xfdb494c5, 0xb51362b0,
+    0x969ac343, 0x63ffac43, 0xa6a999c8, 0xa0a746d4, 0x208d63e3, 0x00314aed, 0xbd3cf445, 0x977fc55c,
+    0x78945b04, 0x52977b5d, 0x7b4b46aa, 0x84ac0883, 0x64505d1d, 0xebae924e, 0x14fc935a, 0xd57ae167,
+    0xa0e17e5e, 0x143dc172, 0x353cd360, 0x8d13c8d7, 0xdeb3fa04, 0x5cb4f19e, 0x97ae5ca7, 0x8ee005e6,
+    0xdb0ada78, 0xc5c41689, 0x60955074, 0xbc507418, 0x9a1b4fd3, 0xd1c69d92, 0xd63f3497, 0x3a2ac3e9,
+    0xda20e08d, 0x6f8080fd, 0xabec3959, 0x6707a0ea, 0xbc28d8da, 0xb11ae0b9, 0x25d4558a, 0xb7c70cd4,
+    0xacf35944, 0x34542084, 0x2742e4d3, 0x3787bd04, 0xa8ce9ac0, 0xd7f058e2, 0x1c975a19, 0xec3bde59,
+    0xfcc28a08, 0x940e2fcf, 0xf058bb7e, 0x43317635, 0x1361ae95, 0x07a3dfae, 0x151258ca, 0x626c078b,
+    0x6232d03a, 0x838f41ef, 0xa057eecc, 0x6e99450f, 0x62f70cb9, 0xaac51380, 0x84476a31, 0x2737d094,
+    0x224989f3, 0x0aeab266, 0x7cad949d, 0xf2809919, 0xc7175e99, 0x155d0da7, 0xb5c58f3e, 0x39192c60,
+    0xeb353e9a, 0xdb2959e2, 0x27677f8b, 0xbf78a834, 0xc8e253f5, 0x86600286, 0xaebc00d5, 0x6755f494,
+    0xb6378212, 0xaa6a8707, 0x1d149f7a, 0x1dd90b82, 0x49439295, 0x8a500c60, 0xe3572add, 0x1415e25c,
+    0x18a79ef6, 0x948cce53, 0xe72c4780, 0x42149255, 0xbcc8f8fd, 0x0b2125c6, 0x8d3b81f1, 0x8c3f294e,
+    0xbc03d25a, 0xac429265, 0x869805ec, 0xd404f128, 0x2f0c0748, 0x594f8ec9, 0xdea68b14, 0x14f75c30,
+    0xe4bf4967, 0x3c68caca, 0x52be6870, 0x9884ddfb, 0x325a224b, 0xfb1c2f27, 0x9226995a, 0x5e8fccba,
+    0x18dae523, 0xec85197a, 0x81d47778, 0xe9315629, 0x4011be61, 0x19ba20a9, 0x07dcf9a2, 0xfd419c96,
+    0x2c157c5d, 0x7525bf12, 0xcfaf17a1, 0xf457665e, 0x31526897, 0xd821569e, 0xfc69e721, 0x15e19147,
+    0x41011c5b, 0x59edf471, 0xe6128644, 0xa0b7ee16, 0x7703a95a, 0xeac025ee, 0xd1726f63, 0xd1634dc0,
+    0x4258406e, 0x32abfd2d, 0xd37a062f, 0xdc14d9d6, 0xfcba1ad9, 0xcb4193e9, 0x9e7b94d1, 0x876cb257,
+    0x33d7550f, 0x54cf2c8a, 0x1bd2043c, 0xa35a3eaf, 0xd1b1153f, 0x114dc935, 0x5a32f551, 0x065310c3,
+    0x8ea56540, 0x2129723c, 0xf1962b78, 0x8e3503f6, 0x1898a76c, 0x24f514a0, 0x4d2c13e9, 0xe82b5521,
+    0x5ca380bf, 0xd3fc64dc, 0x3cc93f35, 0xc301d938, 0x97310ba0, 0xf65147d5, 0x9e451290, 0x2cfbff77,
+    0xca7676d4, 0x134766c6, 0x049e9245, 0x5ced61bc, 0xb1fcd507, 0x51cdddde, 0x2b5ac784, 0x8aba3f95,
+    0xf591b3b8, 0x512c27ac, 0xd5b1aac2, 0x482fc1b2, 0xbde0bb20, 0x0f775986, 0x035dce81, 0x86987133,
+    0xf3e249ad, 0xf2b57667, 0xd1f38cf6, 0x7e12733b, 0x914a38df, 0x1ddfeba8, 0x5de87d37, 0x06e155e5,
+    0xc2ffef90, 0x3237b6fe, 0xb7c8e29b, 0x93d514a1, 0x5f5eebbc, 0x7293d58c, 0x528a5af9, 0xfc461ee7,
+    0x9098021d, 0x2c8b2b0c, 0x50ff5f30, 0x8aa6e1e5, 0x884228d2, 0x586e6f39, 0xe19a6ef4, 0x9d782cb0,
+    0x713edeac, 0x32c00019, 0x72def928, 0x13c81a48, 0xdc3ecd23, 0xd988ce97, 0x92d45f65, 0x0d382be2,
+    0x11672af7, 0x176af11a, 0x3ed0de06, 0x941cda55, 0x5b13ab05, 0xa9845476, 0xe7c22a56, 0x08bd5c8a,
+    0x48c84b5a, 0x5cba8592, 0x822687f8, 0xcd92a663, 0x32f91cf7, 0xf15465c1, 0x00d15489, 0xb4690950,
+    0x21fcf1db, 0x629f3bc2, 0xcfb9ab7a, 0x5f32500a, 0x2e6496fd, 0x4e09c9a8, 0x02a6eb6e, 0x48e3d5f8,
+    0x7da2047a, 0x24ad5790, 0x35d358b1, 0xbf5fcac4, 0xdf45055d, 0x13160fa9, 0x5d5683b6, 0xf591bd2d,
+    0x0465a2ba, 0x08caa844, 0x9ade7f4d, 0xd3e33389, 0x7a22242a, 0xde208b6c, 0x93af0fe1, 0x8102aefe,
+    0x853edaf7, 0x909ea5b1, 0x9c7bf05e, 0xd0cb8484, 0xc483d358, 0xcf03387d, 0x64fc66dd, 0x9c6f30db,
+    0xe02b768f, 0xc55bc2dc, 0x573edab6, 0x8926ffee, 0x30363b89, 0x60d8e258, 0x7f438e73, 0xd7886949,
+    0x871cc180, 0x72de84da, 0xe83b337b, 0x0c5150cf, 0xdc9dc36c, 0xa858cb95, 0x7e649842, 0x480dcc3d,
+    0x0c3975fc, 0xd7de9e79, 0xd9845704, 0x598ae5ab, 0x1c1a929a, 0x48ad9cdc, 0xf16a47ba, 0x3d3ca9a7,
+    0xbad13af1, 0x14a5a72e, 0xa17dc60d, 0xf342acd2, 0xd5446924, 0xd77a0738, 0xa0a69b42, 0x337be56f,
+    0xa877f44e, 0x4e46cd1b, 0x3802cf27, 0xc6b5732d, 0xe243d00f, 0x08ad8914, 0x6c9f3c88, 0x2c5997f8,
+    0x72ab1f49, 0xa2408199, 0x49779aa4, 0x54e77d7a, 0xa59393e4, 0x6ff26ae9, 0x3bcaa6c1, 0xc6210d75,
+    0xcb0f82a4, 0x1c6282bb, 0xa5e286cc, 0x6a56719d, 0xb535590b, 0xe4211a95, 0xe919f87b, 0x24d14f3e,
+    0xfc811f2d, 0xe0f1d4ec, 0x5210744e, 0xd92ec267, 0x40b686cd, 0xa9288cd1, 0x999bb0bb, 0xf3469085,
+    0x0e8f093d, 0x00ac0f9b, 0x38cc538b, 0x690a139c, 0xb8d34268, 0x6b053b2f, 0x40daa6e6, 0xcbcd3f75,
+    0x4cf966c5, 0xb7dcd3a8, 0x58047aa7, 0x22a629ee, 0xe66c17fd, 0x81a23dea, 0xb3c87d00, 0xb2bbe1e8,
+    0xc9cefc0c, 0x8f2467ad, 0x23fd3bf5, 0xe2fa8fff, 0xa6e47f2a, 0x385433aa, 0x34dd9a82, 0xff4fa63b,
+    0x94323037, 0xe83053ac, 0xa51e8b4f, 0x4bef2de9, 0x11d27251, 0x988ec743, 0x84cf30e1, 0x418a2347,
+    0x43d1cced, 0x832da533, 0xc4662184, 0x1a9a8cf7, 0xcf6ae5c9, 0x666164e8, 0x85990583, 0xc9795788,
+    0x7a55ec6a, 0x15496512, 0x96f28bd9, 0xf27b05fe, 0x849961ff, 0xb53293bd, 0x3b3a1dff, 0xeaf6eae5,
+    0x910645cb, 0xc4450851, 0xadff26ea, 0xfa1d607d, 0x94a7be97, 0xaaa1fc9e, 0x655d4170, 0x01ce0b28,
+    0xd324d9f8, 0x54d87ca0, 0xc6d81470, 0x86ae34c4, 0x32327991, 0xcb5eef9a, 0x29c809c5, 0x92e3ca9c,
+    0x28f37771, 0x183977a1, 0x5f3ae7fd, 0x2905edc8, 0x9e9826a3, 0x3de8e60c, 0x13abfc9f, 0x22dc409a,
+    0x3e562fe5, 0x50517cf6, 0x02632af5, 0x2eb28d3a, 0x82908407, 0x288e3839, 0x51228bf7, 0x187cf6df,
+    0x9a10c6a4, 0x0d47321a, 0x2e09eb33, 0x196ecbe4, 0x47b1caec, 0xbcbcc8e2, 0x3d86439a, 0xd6003565,
+    0x1f960a7e, 0xa136b922, 0x54f6f1a3, 0xc735f9f5, 0x7be9fccc, 0xd387e479, 0x76968a20, 0x14f4e7e0,
+    0xfd96b834, 0x099dd463, 0xa4fbb315, 0x60cd1c6e, 0x13d10d05, 0x8469bb67, 0x55bf5d41, 0xd3b40a2a,
+    0xf8e6abb1, 0xf33b2ecf, 0x89d81931, 0x1fc44ce9, 0xc1c7b1af, 0x97a16075, 0x7a38155d, 0xf88ae600,
+    0xdbd1fffd, 0x4b8ddee5, 0xeb6215c7, 0x44a57ffb, 0xdcf68512, 0x4af75e17, 0x52f4f84d, 0x130e1f33,
+    0x7b4fa03b, 0xc17fd0a2, 0x7e4e7a85, 0x5814b384, 0xb5ac5565, 0x906804fa, 0x439baf6b, 0x6d396623,
+    0x75bde212, 0x4e24aa37, 0x7d772abe, 0x3b433975, 0xa4afc3ac, 0x6643879d, 0x808fa4fa, 0xb75db693,
+    0x8acdc1f6, 0x1854446f, 0x2f4d61ea, 0x7f3605ad, 0x7e2b7528, 0x04331068, 0x44fbe95f, 0x2031a657,
+    0x8f7ae3fc, 0xdb9c93e7, 0x9ece465d, 0xdd5ecae9, 0xe3cb3a56, 0x4bac9c7f, 0x82bc5f54, 0xee5864c4,
+    0x7396db35, 0xd11635cb, 0x64051e7b, 0x949d616f, 0x7e85c675, 0xf8f89497, 0x5476bbfc, 0xe9be1c95,
+    0xe81f63b4, 0xd6e4ffbc, 0xacf1bab2, 0xa585ee24, 0x91f022bb, 0x8c810d54, 0xf96f12d2, 0x961a6d97,
+    0x00000000,
+    0xc55fe37a, 0xfdb4cd96, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000001496577676626844588240573268701473812127674924007424 */
+  { 0x00000000,
+    0x6f39ae49, 0xc09bd6dc, 0xab58afef, 0xb82cb5c9, 0x8e330669, 0x61bc6152, 0x66e1e798, 0x8f74374d,
+    0x9a68fe22, 0x709ca2c6, 0xf59ef575, 0x15b83be0, 0x95c6840a, 0xb354d6f2, 0xe7572acc, 0xbea2a1e8,
+    0x16040c40, 0x78051de5, 0xe2d7f50b, 0xf88a8a0d, 0x3d269eec, 0x4511bf78, 0x57862112, 0xe48f04c4,
+    0xb8e7f733, 0x7a151f5f, 0xb8af96f0, 0x24cfc2a3, 0x924eb967, 0xe4eed59d, 0x1d5e64d3, 0x1e5f31a0,
+    0x03d3e4e3, 0x8981bfdc, 0x2c0f366a, 0xcf3ccd3a, 0x854bfad0, 0xb3b2249b, 0x5b8c8b07, 0x5fbaf21e,
+    0x8ce777db, 0xf06eb074, 0xcd30d4d4, 0xb964ffc7, 0xb4df0031, 0xb0b94ca3, 0x6357d450, 0x13e5a088,
+    0xbcb0f93e, 0x4dace8aa, 0xa39d4c36, 0x090f3ac5, 0xd0261599, 0x19ad01c7, 0x64d6b60d, 0x756f9c36,
+    0x76d14ed2, 0xc23627c8, 0x721fdf01, 0x9ad5c6f5, 0x7893c936, 0xfc48fc0e, 0xd6842915, 0xb2a87c0e,
+    0x4bde8379, 0xf9741f07, 0x9e361f9d, 0x86f273eb, 0x25a9320b, 0x8d8bf908, 0x57deb615, 0xd779f2c4,
+    0xad899a09, 0xb09eb362, 0xacf7b282, 0x5a835a4c, 0xf9dc78a8, 0xf11af9e2, 0xe1f805a6, 0xac1424a5,
+    0xb8ef5da4, 0xe50e2d2f, 0x5ff43026, 0x6107f1f4, 0xffa4b300, 0x85817a14, 0x12dcfea4, 0x12884a90,
+    0xd3f77dd5, 0x282a1f55, 0x94c61914, 0xd37b8ef9, 0x36416098, 0x028a9c0a, 0x950e023e, 0x7a64f67b,
+    0x7d9e2d18, 0x3274148d, 0xb670c655, 0xd9915334, 0x0cbb5988, 0x04d5bea5, 0xe0272624, 0xc29dfef1,
+    0x2ca2d3cf, 0xe369c2f6, 0xdeaa62e8, 0x7a3186b9, 0xc708dd3c, 0x332900e2, 0xdd067851, 0x19b23f7e,
+    0xbf911da3, 0x0c3946ae, 0xfb67861f, 0x29a651da, 0x0ef05ff6, 0x310e3622, 0x9a77e116, 0x87051dd7,
+    0x9b59ac7d, 0x8dec0c42, 0xb3e4e209, 0x688b2f9d, 0x74a23867, 0x85bf65c7, 0x41fec709, 0xfd1e6f1b,
+    0x245ecf1f, 0x3af86f66, 0xa5ed3809, 0xc8b7cad7, 0x22cb1702, 0x5f2296ca, 0xa2fbd198, 0x92f9f7c0,
+    0x2d0b9f08, 0xc408a3da, 0x6137e99c, 0xc0f50f25, 0xdb3dfef6, 0x75e05223, 0x755eff66, 0x65baea92,
+    0xade75cc0, 0xdf66f271, 0x1c59721e, 0xfa4944e8, 0x82ade2fb, 0xc8d9c357, 0x09d038b3, 0xc5e6cdb2,
+    0x869c2656, 0x33daff86, 0x30e92b92, 0x70a9f4fb, 0xedb5a607, 0x65ba8ac5, 0x280a186d, 0x46480e3d,
+    0x2af6c007, 0x87329d62, 0x64dd7486, 0x134a35ed, 0x560ff16f, 0xe94dcbd4, 0x02336491, 0x1387e73d,
+    0xde7ea944, 0x614e5742, 0x71a7b03e, 0xd7c536fc, 0x51acd4ed, 0xf0f2fb68, 0xe81d6c15, 0x25f20df7,
+    0x350a2216, 0x3442cac5, 0x5627b975, 0xeb9c26a4, 0xaebdc879, 0x6b96ca85, 0x48c986cb, 0x4dc05084,
+    0xe7b69d8d, 0x6fe2ae15, 0x08c5793b, 0xffd00412, 0xca41a975, 0xb93d50a6, 0x2b413503, 0x9b2887a6,
+    0x9fc5c687, 0x138ec92c, 0xe1ca6978, 0x93e8e2a8, 0x83dd4267, 0x6c8ef7d9, 0x9b26ec3f, 0x0a45facb,
+    0xa2bb9bef, 0x3dfbeb7e, 0xaf3a1ff0, 0x16c9831b, 0x78dae752, 0xc042485d, 0x68b13dd8, 0x41160646,
+    0x9112307b, 0xab7732b8, 0x4433d288, 0x1bc03d96, 0xdabb5e20, 0xab831bd1, 0x0082b3cf, 0xb63c15d6,
+    0x8d7d84a6, 0x72c791b7, 0xdf4ed4a3, 0xd54dea1a, 0x70b1c55b, 0x2c29ea9c, 0x3663c103, 0x04f86940,
+    0x87f9ece0, 0x84852330, 0xfb599067, 0x909f74bf, 0x134fab68, 0x4ca85da7, 0x619fc589, 0xac8efb1e,
+    0x704c1adb, 0x07ca075c, 0x630d4cd8, 0x2e18e28c, 0x363dda16, 0xbc1c9250, 0x19d0f814, 0x24a6b66f,
+    0xe96c9b8c, 0xdd3aaed9, 0xc27e9dbf, 0x846fa4a9, 0xe4e0bf23, 0x240e9dfc, 0xff67991b, 0x77e9995f,
+    0x2256a65f, 0x07f575e0, 0x14da8fb8, 0xaa455aef, 0x3be0deab, 0xe9f497d6, 0x4a1b2f58, 0x19108284,
+    0x9aa6fad8, 0xaee74291, 0xa6b0670a, 0x601872ea, 0xee4d9a9f, 0x182db5bc, 0x8cc48208, 0xae7fb105,
+    0xd56afedd, 0x279225f1, 0x1be39c6f, 0x98efd112, 0xd9b8e3c3, 0xa80b14d0, 0xebcb5a36, 0xceb79bc6,
+    0x7e0ee57b, 0x6844f9d2, 0x04bb28af, 0x03abd707, 0xed5549b6, 0x4357b687, 0x6afcab85, 0xe7e331f7,
+    0x8fbef2ba, 0x4f1ffdae, 0xced5f224, 0x52e61036, 0xa5eb4c09, 0xfb6d9d12, 0x0b549360, 0xf9c15760,
+    0xc7a9154b, 0xf412f07b, 0x75bd1b96, 0xf340cf36, 0x4c455da5, 0x771629e4, 0x25b3b228, 0x6c93adf6,
+    0x0f6201e6, 0x27d1c3f6, 0x31f231e2, 0x32a8fd6c, 0x44d9bbda, 0x4fe619cb, 0xb55656d8, 0xcd92155b,
+    0x6d368035, 0x342e861c, 0x5bcaee78, 0x2a334be0, 0x5c7c91da, 0x589cec5b, 0xbffcfabc, 0x3a793a62,
+    0x02d4ebd0, 0x983ba047, 0x6d531442, 0xa3e1ae93, 0x65cd72a6, 0xa6b60b4e, 0xe65f2586, 0xa8e13f39,
+    0x89018b03, 0x80de85e0, 0xb6e5e35a, 0xe09b4b91, 0x8cb38c4b, 0x7a6fc6f3, 0xab7d702d, 0xf903d0a5,
+    0xa434e0b3, 0xcdcbce26, 0xed6ca49a, 0x8806ce9c, 0x84992cb1, 0xafbb5535, 0xe1e3771d, 0xbb7cd036,
+    0x00c76e8f, 0x9064f79a, 0xe87ff140, 0x1a6fd63c, 0xb88fdfd2, 0xa0c2dfd1, 0x2f16c8fe, 0x9ba80995,
+    0x46ff3ba5, 0x14584c9d, 0xc2e406b7, 0xfa3da503, 0x28638377, 0xd95465da, 0x7766ee60, 0xdaba8280,
+    0xf055ef84, 0x2c29bab0, 0xb59f533b, 0x86111a92, 0x0ea5c36b, 0x4001cb01, 0xf8a8e67a, 0xca460e36,
+    0x7945f014, 0xd61aabd7, 0x7db7f2d7, 0x06a49530, 0x0431e584, 0xc8bcedd9, 0xf4956cb8, 0x4d7dfb3c,
+    0x798a3354, 0x700982c2, 0xcf6724d8, 0x9066e7a4, 0x4d434bfc, 0x3bba8037, 0x3105ffb6, 0x8f63d7d8,
+    0x020ee6a3, 0x08a69c26, 0xcc16dd23, 0x007e512a, 0x65abf7d3, 0x82767910, 0xda7d94f2, 0x3059238a,
+    0x2c59689e, 0x935a8c1a, 0xcbbb1ad3, 0x41cb1776, 0x0801c190, 0x40e6f73a, 0xcc191aea, 0x8639ff14,
+    0x1cb9c14a, 0xae99994c, 0xb93b6068, 0xe6db8fb0, 0xd8b2dfbd, 0x8de213af, 0xf7d01b44, 0xa791600d,
+    0x96989ef3, 0xc3e8c2e6, 0x5f6d5977, 0x86dc554a, 0xd34822cf, 0x0051d36a, 0x6d5df27b, 0xbba474ff,
+    0x25912ab5, 0xbf38e219, 0xc32aefb2, 0x53dee974, 0x97386bc9, 0x03c7d4db, 0x0c89bd73, 0xb42e4a9f,
+    0xa8afcbc6, 0x8024bc73, 0x8b9dfa37, 0x068bb8c5, 0x7cb543ac, 0x55330109, 0xad982420, 0xda6d1379,
+    0x5c936436, 0xa5785939, 0x274f35b8, 0x23ff4143, 0xbc3fcc40, 0xeb1f82af, 0x1fd36fdf, 0xeaa9fdf9,
+    0xcc600b89, 0xe0e9ca6b, 0x22670107, 0x3126ac0c, 0xe25b758b, 0xa3bcfcfe, 0x8f984fc3, 0x9e4e4dfc,
+    0xa49886ee, 0x903fad24, 0x28e65265, 0x0dc3d991, 0xc68413b4, 0xe6a60cf7, 0x42d9d2ed, 0x422d8159,
+    0x44141c32, 0x6e2e11cf, 0xfab58209, 0xa8bfec54, 0xbedcd12f, 0xa619c7c9, 0xd698c34f, 0x2a8291d9,
+    0x312a35d6, 0xcf4d5c77, 0x8cf0b045, 0x1c125ec2, 0x99a58c84, 0xa7e74353, 0x36f3e38a, 0xd081c6f8,
+    0x2ec00240, 0x1fe3055a, 0x79f5e49b, 0x62eaa23d, 0x6671f46b, 0x4562b72c, 0xe783e2b8, 0x93a5a954,
+    0x686e833a, 0xd6d7fc3f, 0xa229405f, 0xc5276e42, 0x92b2f873, 0xcabfcca5, 0x69cb3c6e, 0x406824c0,
+    0xce3fe118, 0x7e974528, 0x17eb1018, 0x5fc208a6, 0xc9c8467c, 0xb57cde4e, 0x07dcbcf0, 0x9fb0fa37,
+    0x94a66891, 0x6798fcf2, 0x4ef21ac2, 0x50a83b9d, 0xe9b251bb, 0xbe2698c1, 0x24861e4c, 0x2d06789a,
+    0x82364b85, 0xc1ad41ed, 0xcfffc718, 0x63f8e37d, 0x34a6ffeb, 0x4282adac, 0xa586f096, 0x86d22fba,
+    0x33cf2714, 0xc6de2175, 0x0420ac17, 0x4b9c7310, 0xdecb4013, 0xb14923f1, 0xa71e23af, 0x612dc2e7,
+    0x19e35b58, 0xf056e08e, 0x498aaf67, 0xc1976e24, 0x4cad94ef, 0x74d7f0eb, 0x7b5568f2, 0x79da5b70,
+    0x0e6f5487, 0x9843ac32, 0x0e07a402, 0xc581d343, 0x6583c835, 0xf0936ffd, 0x08d8eaec, 0x45c6a8f1,
+    0xbee2c814, 0x008657b3, 0x28da4325, 0xec609cd3, 0x449e06ef, 0x400198bc, 0xc716ae6d, 0xd254910e,
+    0xee491393, 0x84a4fdab, 0x1e9955e3, 0xf0022a52, 0x37737e9e, 0x540f25f2, 0x0ad490cd, 0xcf206741,
+    0x2c4f1f56, 0xb13e7fbe, 0x454c90e1, 0xd5b74836, 0x7267153f, 0x7220f0d9, 0x6e48243a, 0x03cda20f,
+    0xf4cf2aca, 0xdb3f3959, 0xb63f2c48, 0x5852442a, 0x89b5f958, 0x673bac4b, 0x3250dc99, 0x094445f9,
+    0xcf101061, 0xef4b7d69, 0x3ddae0c8, 0x34a8d15e, 0x16a4c115, 0x656e9690, 0x7863da89, 0x3ffc1822,
+    0xebe1cd5f, 0xc619280b, 0x3fa8d0dd, 0x9cc66675, 0xe5f03859, 0x7ac90ae3, 0x252636d3, 0xf20ca48f,
+    0xd807c0ac, 0x6e2963fd, 0xc290c42f, 0xfda4480f, 0x36f9a3e2, 0xb6e4bfdd, 0xfc0b3435, 0x0bc5f1c4,
+    0xb59aa6a3, 0xa94f7da9, 0x460c3c34, 0x2a45fccf, 0xed01e5da, 0xe6069cb9, 0xd44ea908, 0xba69cd30,
+    0xc75b54bc, 0xf3edf9a3, 0xf575620f, 0x9657c5dd, 0x3d13db46, 0xf51624f1, 0xda0a70d8, 0x8d3fea50,
+    0x04c1256f, 0xa1b660b8, 0xe7301003, 0x427687e9, 0x1f0c48a2, 0x5d3b8dcb, 0x95b74528, 0xa164adf3,
+    0xc8a281af, 0x5596fa85, 0x4481b91b, 0xd1cbabe7, 0xb418e90e, 0xb9124607, 0x591643df, 0xaafa8b93,
+    0xf5ca5dff, 0xd6b60d47, 0xdec22ad8, 0x2b64a202, 0xd85a1b85, 0x6ad03c40, 0x1a1380d4, 0x23fab59e,
+    0x3afaffa4, 0xa12943d2, 0x0e54b5fa, 0x266528cb, 0x3f887862, 0xd9522ec1, 0xa032ee28, 0xdec7f25a,
+    0x0d5b575f, 0x209bf117, 0x8ff3d15c, 0x770c3951, 0x8d11bd49, 0x1acc1062, 0x40b78de5, 0xa81f6075,
+    0x506dad65, 0x87b79804, 0x83920adb, 0x4567e6f2, 0x078cdd8e, 0x41fc5052, 0xcc174e89, 0xc7692985,
+    0x3a5eabbb, 0xa2d27172, 0xe00f0b74, 0x70b50dba, 0xe6cfe768, 0xf12eed89, 0x89bb952e, 0xa753135f,
+    0x409f1dbe, 0xf262911a, 0xc5d534b3, 0x90de6499, 0x9db03919, 0x55e571d3, 0x1a274de6, 0xbe553e37,
+    0x1b37fe6a, 0xb749d285, 0xe730b569, 0x3ff9eb92, 0x20d26821, 0xd8b66980, 0x22f2ed2d, 0xe70a237b,
+    0x08b0c4f3, 0x7504d49e, 0xcd354f46, 0x3cc3ea25, 0x711d671b, 0x167eae9e, 0x653d5276, 0xae1700b0,
+    0x7390d2ab, 0x2d84811b, 0x0565122d, 0xd1e4bddc, 0xc3477c60, 0xa17cdd9a, 0xe955dfbc, 0xcf40dcb4,
+    0x38b86507, 0x8bf8ed6f, 0x6bb35d41, 0xa9859ea8, 0xa88e2106, 0x5b16a2d1, 0x81b56f21, 0xa27a2f4f,
+    0x105945a5, 0x62007ada, 0x6cd5e55b, 0x11094cb5, 0xeaa4d6e6, 0xba4b49c5, 0x6e2b5cb4, 0xd5413972,
+    0xf80d1f7c, 0x208d9623, 0x3a4d6f3a, 0xbce6f1d3, 0xd45415a9, 0x9fef8e86, 0xd6c668cf, 0xf5c19c02,
+    0xc8092d5b, 0xce7892e6, 0x66f6e599, 0x6f18ec73, 0xbf84ce44, 0xcde36607, 0x56cf1b62, 0xcd749d7a,
+    0x5c1b85a7, 0x59e68a94, 0xe5708711, 0x1925d02e, 0x53096f76, 0xe1597d92, 0x632d116f, 0xadcd470a,
+    0x6db5f151, 0x072ef2e6, 0xf2528371, 0xd405b8d4, 0x6a516eac, 0xb0424514, 0xbba74300, 0x2945aedb,
+    0xd4d3b5db, 0x27fd38cf, 0xfbe38c51, 0xa1d1a220, 0x5d1def00, 0x72dffae7, 0xcd97a080, 0xf8c755cf,
+    0x1529edb1, 0x832c41ff, 0x81b46d74, 0xbbbdfa13, 0x95090d83, 0xec631f50, 0xaa0f1efc, 0x224a365a,
+    0xbe30c65a, 0xcc6c1102, 0x3ead081c, 0x623e24bc, 0xab317da0, 0x158699d5, 0x2dba431e, 0x6b537e32,
+    0x97bca64a, 0xdb508fa9, 0x280bc105, 0xe6773f62, 0x10fa4278, 0x3e39ad89, 0xef4e1230, 0xbb690682,
+    0xcdaaa29e, 0x0f611a04, 0x56ece72a, 0xf1ebee51, 0xaeba68e0, 0x374e7370, 0xa89f42f0, 0x306dab65,
+    0x59cf3882, 0x1f2eecc0, 0x97e2a819, 0x1e198852, 0xb454f183, 0x8ad027ca, 0x1165a717, 0xc0338e92,
+    0xba5d86a7, 0x111f81c2, 0x978ecf61, 0xa059ca5e, 0x325475e0, 0xdc19bc2e, 0x01871e2c, 0xf895adf1,
+    0x89a82109, 0x83478852, 0x6ef27ab8, 0xdeb28ea0, 0x73961e10, 0xcd530856, 0x4669cabb, 0x56171f9d,
+    0x1cb49c8b, 0x53252aa7, 0xd6eabff5, 0xea93c9eb, 0x605f8f61, 0xd5a89f88, 0xe4e511cf, 0x22d1f104,
+    0xe0acbee2, 0x3d801a22, 0xa4446f6b, 0x5bd11e75, 0x8b996fd7, 0xf012b076, 0x75ddab3a, 0x093b4f03,
+    0xe7d2dd34, 0x6b2569cd, 0xc5a0dc56, 0x3baeb1d3, 0x8bdc6a22, 0xf94601d8, 0xe4328196, 0xf604164a,
+    0xefd39ac8, 0x599c1e63, 0x3095db5a, 0xfb5c804d, 0xf095e954, 0x80de50a0, 0xa6ab5f78, 0x8c0829d7,
+    0x019c755d, 0x0c652b3d, 0x91348974, 0xffbc2ed1, 0x7202eb7f, 0xcd7edf68, 0xa9d2feb8, 0x81e51ac0,
+    0x77f426f7, 0x4e218286, 0x7c734ed7, 0x877e88a6, 0x5063bad3, 0x92c0b2f9, 0x95f25067, 0x262e8bfa,
+    0x254eee74, 0x119c3ed4, 0x651c7619, 0xd57b3504, 0x836847a6, 0x97b9002b, 0x04c989fc, 0xcc825216,
+    0xd0250fbb, 0x14651955, 0xc22fe409, 0x340cfd23, 0x02b505e6, 0x5038ba62, 0x4b6af43e, 0x25cd2d9f,
+    0x20bcf672, 0x7e8e1085, 0x0c98cb38, 0x32e0b5b7, 0xf23adb13, 0x6441361e, 0xbb73c117, 0x31c44a1a,
+    0x3e139dc8, 0xdaac041f, 0x504ff875, 0x17c8a4c9, 0x4564ae84, 0x3d884cb9, 0xca860f4e, 0xe8782a83,
+    0xc37d2975, 0xec9fec29, 0x09979763, 0xa2dab5c7, 0x85755db3, 0xa88d5eef, 0xb0b1ec47, 0x9a95c3a7,
+    0xfa87f120, 0xeb805b55, 0xd4dab6f4, 0x3930a8cb, 0xa0fad27f, 0x14859edf, 0xa1bd6513, 0x42b57e65,
+    0xebb0f3e6, 0x549a7b14, 0xa881c408, 0xd9505380, 0xe81f353d, 0xb9a0d668, 0x5b99f566, 0x59d1c704,
+    0x79c1fbb8, 0x3a1aee01, 0x306ad508, 0xf3d39ea3, 0x7b7311ee, 0x8125c372, 0x4c2b7f8f, 0x335a94e8,
+    0xba8e08fe, 0xfc72d685, 0x99f6dd02, 0xc5fd5ccb, 0x6fe1389e, 0x73a67e00, 0x27838aa5, 0x722a7b9c,
+    0x206f0ec1, 0xeb3eed38, 0xac3a778c, 0x23744234, 0xd1102919, 0xf5c75286, 0xf64fc214, 0x710e3cfc,
+    0xd8e29cad, 0xf7a1b8ed, 0xc010677a, 0xc509905a, 0xf446470c, 0xcda1ec7c, 0xd358511d, 0xe726c86c,
+    0x07be56b8, 0xb0714fce, 0x04b2c922, 0x827694f2, 0x0732b326, 0xfc7b244a, 0xcc70036d, 0xe8509a7d,
+    0x93d29834, 0xc9e75b9d, 0xe83ad537, 0x8c8f4aa4, 0x866993df, 0x33e80ddb, 0x78d1a48c, 0x6dae6261,
+    0x4a565a53, 0x22c90c6f, 0x637ad887, 0x8c2b4054, 0x62e234f9, 0x06a9d272, 0x97fe1160, 0x94761dbc,
+    0xf3c242b6, 0x9c38e598, 0x1f8fc1cb, 0xc07d30a5, 0x6e99a27d, 0xba923e49, 0xe892fa2a, 0x1a608cb8,
+    0xc2a59b6d, 0x816313fb, 0x636e14b5, 0xd70af4b2, 0x9ebc422b, 0x4242ab94, 0x085a8fe1, 0x2c713e22,
+    0x905f8b08, 0xa39826e2, 0x919d7ebd, 0xc0516fac, 0xf61662c0, 0xb186415b, 0xdf5c45c7, 0x096dfca9,
+    0xbbabce5c, 0x0dd7a937, 0x21715574, 0x2739889c, 0x5804ea1a, 0x5117bcbf, 0x4dce7e27, 0x00936b4f,
+    0x9d189f86, 0x22bc23f4, 0xe9309627, 0x0a4ec776, 0xd20f55bf, 0x76f6bc90, 0x65843321, 0x2fec7bbc,
+    0x01b408c1, 0x711bd5f2, 0xe472b746, 0xdc182a55, 0x1839b6e8, 0x14c1ea51, 0x3065b5bd, 0xc406cf4a,
+    0x00000000,
+    0x62aff1bc, 0x7eda66cb, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000748288838313422294120286634350736906063837462003712 */
+  { 0x00000000,
+    0x8348c9b9, 0x00b3cc5d, 0x3bad46d8, 0x7ce98e46, 0x7e777285, 0x1debabca, 0x32855b0e, 0xfa2c2eb5,
+    0x2706ca82, 0x1af51ba2, 0x4f12fd1d, 0x0435d353, 0xc2266122, 0x210b5b4e, 0x40e8a4b1, 0x3809cb20,
+    0x8bed7a18, 0x5879c7ba, 0x647a6b47, 0x6c0ccd05, 0x7479794f, 0xfcfae76c, 0xb855c53b, 0xed5d5c2a,
+    0x6c43367c, 0x06e3b692, 0x127fde06, 0x3731644a, 0xec5cc384, 0xb5888b43, 0x8d3712cf, 0xa09dab55,
+    0x8d98a48d, 0x6179ab4d, 0x625fd688, 0x071f4b52, 0xf0f4ee82, 0x7baf524f, 0x69434275, 0x3f20c612,
+    0x0e07c3fd, 0xaf305b60, 0xfa49e6c6, 0xb9172dd1, 0x38da0da6, 0xeaba924f, 0x3332d3fd, 0x3f269914,
+    0x17c4b1aa, 0x097dfe70, 0x0611d20b, 0x50a99798, 0xf0c2193f, 0x14a94d34, 0x50136278, 0x42e00540,
+    0x5d9d5388, 0xc9c995b3, 0x1bde5eb5, 0xec6f1fad, 0xc7e01640, 0x60921133, 0x660e4825, 0xb5d3faa2,
+    0xee8d9a5e, 0x8444f5c3, 0xa41b634c, 0x2b985bc2, 0x1a1088a9, 0x0cf812a1, 0x127a8921, 0xb7d886e8,
+    0xcad3c1ac, 0x7917a7e2, 0x810bbaee, 0xba5136ca, 0xe8957617, 0x3d9222b3, 0x019a5988, 0xe1978c0a,
+    0x75f1e409, 0x5b6b895b, 0x59f1b591, 0x35635fea, 0x70cf66f7, 0xbb69d8d8, 0x9ce928be, 0xd42bdbf2,
+    0x54647d04, 0x1c1c6fd7, 0x9da23862, 0x35f56bcf, 0x8dcb2f13, 0x406b8a7e, 0xf29cec0c, 0x18ea7f58,
+    0x88d03154, 0x03beae60, 0xad8ad0d4, 0x1f0221f2, 0x6b993e42, 0xe5f1b78d, 0x3fde8f9c, 0xd446cc3f,
+    0x8603cd9f, 0x598f8e29, 0x3ec1143d, 0xe0d7f053, 0xb4e0acd4, 0x3924a0e0, 0xba588619, 0x14b15429,
+    0xec3f21c0, 0x70e37d89, 0x999f53a5, 0xfb0b26aa, 0x5ec79446, 0x379d5ce3, 0xc6330675, 0x29bd8937,
+    0xbe26a1b8, 0xc0902032, 0xbef0f133, 0x57392d27, 0xd3b586cd, 0xb224441e, 0x173f8d5f, 0xc6c1ca1c,
+    0xf555bc49, 0x3940dcb1, 0x4dd0b2c6, 0xdaefc1c6, 0x482fde69, 0xac0c3149, 0xf80186d3, 0x325daaaf,
+    0xbe9f4963, 0xea483ad5, 0x8fb8673d, 0x33075d17, 0x3786c907, 0xf19eeba3, 0x9b9da3c0, 0x7aab34db,
+    0x7b872290, 0x9ecd02ac, 0xb6c36a9a, 0xaf7e7d35, 0x54e83263, 0x570cc294, 0x1d1e7e3e, 0x3c085831,
+    0xb1abed1e, 0x638bfc5e, 0x3beffdcb, 0x436f7dff, 0x3704d6ef, 0xb34b8e97, 0x5689ae02, 0x6ba8da6c,
+    0x4669c7cd, 0xc516863a, 0x6c363233, 0x89686a26, 0xe4b92296, 0x48a6ee58, 0x37f0026f, 0x053a6057,
+    0xca0ef01d, 0xa6b736dc, 0xe649ba4c, 0xa6977e5a, 0xa2351dda, 0x2d019959, 0xfb49c2cb, 0x8aab704a,
+    0x37e9d035, 0xcd980108, 0x7b574f1e, 0xff68d1e3, 0xf535a794, 0x28fec594, 0x5f035ebd, 0x5bcbb360,
+    0x7ce4ef7a, 0x01c5564d, 0x9f5e8a56, 0xd18358d2, 0x16b19e06, 0x59ce3ad9, 0xff275718, 0x66ec5a66,
+    0x13c7a4bc, 0x315d6310, 0x43044417, 0xed202b6a, 0x4cefb7aa, 0x243efe04, 0xaedc0d20, 0xc743997c,
+    0x77ced42a, 0x840127a6, 0x306e2827, 0x5cf95bc7, 0x4de88870, 0xa4186d9d, 0xf0d26e71, 0x4cb7a560,
+    0xe128312c, 0x337c9991, 0x582f0cf4, 0xa7115691, 0xdea920c9, 0x3707e1aa, 0xbd1cae61, 0x68a76926,
+    0x95bbd987, 0x828a718c, 0xaf79ad50, 0xaadcc23a, 0x0380fc1f, 0x016ddfad, 0xc24fb16e, 0xf4c776ba,
+    0x981a8011, 0xfc368428, 0x8436e204, 0xafb06a7c, 0x74e08c26, 0x6e385c78, 0x988e8e4f, 0xd54dbf67,
+    0x7210d8f9, 0x8428fc21, 0xaf19b84f, 0x7ac8456a, 0x1bccb0ff, 0xd28bf476, 0x645b8d47, 0x068e76f1,
+    0x860133d1, 0xe51a3b68, 0x20a70721, 0xa83a553a, 0x4974cab0, 0x0ee729aa, 0xed790375, 0x6b876c61,
+    0x3fcccd92, 0x5223d133, 0xd7bae9d2, 0x3ff0d0dd, 0xad98bd65, 0x8aaa5d09, 0x1b887425, 0xf591be92,
+    0xbf2b7348, 0x9a0b13b0, 0xf492a42a, 0x32a1231b, 0xb8c7feae, 0x4124263d, 0x3e015c40, 0xcee39d03,
+    0xf40e9d7a, 0x2b40a841, 0x7f140c44, 0xa870f4a5, 0x2ea46387, 0x8f51a11e, 0x84deaeb5, 0x8c89f8c7,
+    0x8ceb5f4d, 0x933d3633, 0x40bf729d, 0x6fd6ba6b, 0x44d0067e, 0xa4b45909, 0x918e41e5, 0x1ce4cf31,
+    0x26bae3a0, 0x75a9b446, 0x469d7909, 0x94e4958b, 0x0de65dee, 0x29a5137b, 0xcb5a9969, 0xd8023265,
+    0xfd96fa57, 0x1c44b1d3, 0xdeb02157, 0x37b4a1f5, 0x76ea72c8, 0xb500a0ca, 0x830ed2f5, 0x653af238,
+    0xfc5c68cb, 0x6f6f9031, 0x72eef7d6, 0x46d1d144, 0x21568f0b, 0x94ed7cc4, 0x4aac708f, 0xfd7737b3,
+    0x55c76129, 0x9c96944c, 0xfa70bfe4, 0x8ebb0a8a, 0x70ec6fa8, 0x712f18d4, 0x1865edaa, 0xb849e286,
+    0xcd5d5f15, 0x6f052b80, 0xca7ba766, 0xbaff09de, 0x0d92cacd, 0x554ca25d, 0x0f397a58, 0xf432fc90,
+    0x72c5e201, 0x5a4e82bd, 0xbb4799ff, 0x72d7c8f6, 0x2774ca59, 0x9eede10d, 0xf1370741, 0x720cda9f,
+    0xedf2bab9, 0x3dc7ab93, 0x7a3f5fd3, 0x47939714, 0xdc604799, 0x80c9e081, 0x8783de4b, 0xf725bfdc,
+    0xd7ba7c85, 0x8d277549, 0x8bae77ca, 0x30823161, 0x0091c611, 0x3a232d6e, 0x69b1ea18, 0x27d66402,
+    0x4e439520, 0x64261598, 0x8593c972, 0x0d834b88, 0x655031eb, 0x5d363fd4, 0xac55aacf, 0xe5e4205e,
+    0x2f7d865b, 0x8dd593d1, 0xd3003747, 0x004c74e4, 0x5ac95fc2, 0x64cb65f3, 0x945683ea, 0x013759e3,
+    0xec289fa9, 0xe98356ef, 0x8ad130be, 0xcde67fc1, 0xdf0e5fd6, 0x93370a20, 0x5ef1a640, 0x292596dc,
+    0xd98b32df, 0xcde99fb4, 0x1a346db9, 0xd291c449, 0x49beb360, 0x3e63cef8, 0xd5c1162c, 0x12f5011d,
+    0xabf1e262, 0xf9c2bf65, 0xdaa9ccbf, 0xea142dc1, 0xcd00b659, 0xa2f6c689, 0xe0f82152, 0x2999f8a7,
+    0xb0d07b2c, 0x550ab7e1, 0x5b63d635, 0xef2bf687, 0x90f59cbf, 0x4991e2a7, 0x97879f6c, 0x61984a6d,
+    0xad4ff951, 0x413ae1bb, 0x1688c505, 0x91a15bad, 0xdf62e6b3, 0x4ea9da4f, 0x0a7605c6, 0x84d009fe,
+    0x7479a881, 0x01264f75, 0x13b8c009, 0x2fc7091a, 0xe393c39f, 0xc57f9002, 0x3de4d8ae, 0x4580b6d9,
+    0x2d98fa9a, 0x01a32b3a, 0x323e3161, 0x126f475e, 0x822a7036, 0x80b435cf, 0xbbeef007, 0xf3987796,
+    0x20d8caa0, 0x41a67fb0, 0x0cc50afd, 0x414d8c76, 0x63f82ddf, 0x697f7755, 0x8a54aecc, 0x974133bd,
+    0xa1174033, 0x33970b41, 0xb63fb11b, 0x007a8914, 0xfa113267, 0xd465a1a1, 0x91306061, 0x6c896ca7,
+    0xced3fbc2, 0x475464a3, 0x50f7ab4d, 0xcf8508da, 0x7b00d7af, 0x4155baba, 0xdab317f8, 0xaff57db4,
+    0x776a0997, 0x1904f0ee, 0x8bfaf64b, 0xd566dd86, 0xefd648e3, 0xd902df4e, 0x950eab25, 0x0d8e572a,
+    0x7518f07f, 0xc578541b, 0xe49efc17, 0xf913b31c, 0xf8416761, 0x00e173a0, 0x22ce251d, 0xe398132e,
+    0x0162bab3, 0xff7afe52, 0x5b3ac2df, 0x7178ded2, 0xc8fe178c, 0x1fc607bc, 0x95e7b03e, 0xb4dfe0e9,
+    0x6e0493b8, 0xa53392ed, 0x08ca1ea0, 0x0a13095a, 0xbb0b37bc, 0xd330d0e9, 0xf34c3b4b, 0xa00e640d,
+    0x64aff7c8, 0x70bd6137, 0x1f172c14, 0xfa42c3dd, 0x7dd364b1, 0xa1ba0a08, 0x74cfd40f, 0x9eb0ce26,
+    0xd23c3736, 0xf8a1a031, 0x7b7e17c4, 0xcdccd142, 0xd9c84b21, 0xfa27e64a, 0x55d92f50, 0x766bd36f,
+    0x2b615917, 0x5c2cdaa4, 0xbf04e339, 0xdb458c01, 0x0e2e236e, 0x28ed81fb, 0x574d690a, 0x71024615,
+    0xef08ee74, 0xb1899c9c, 0xfaeefb45, 0xef09c916, 0x69cb3e67, 0x22c4a29d, 0x2a28a0ad, 0xb4fc1b86,
+    0x2c635830, 0xe9f1bcaa, 0x7299cf37, 0xebb61c55, 0xe3563f45, 0xb6f121c3, 0x7c4b15f6, 0xb41f14b6,
+    0xc4fc91f8, 0x9d8aa03f, 0xe76a64cc, 0xf409ee87, 0x0736b26e, 0x46451882, 0x88e80dcb, 0x9569ca4e,
+    0xe0f221f6, 0xb5e255f0, 0x09b08cde, 0xebdcaef7, 0x8d06b006, 0x69e1965d, 0x4e4c3ae2, 0x4ae9dea3,
+    0xfd54b2d3, 0x3cb1af2d, 0xe3556b35, 0x2fe63d27, 0x2d66b6b7, 0xe533614e, 0xfb8c5298, 0xbe1ec300,
+    0x4058f39b, 0xa3394e07, 0x1a8d09e4, 0x404464cb, 0x185cc700, 0xe57a2cf9, 0x4b4f917b, 0x6b505b94,
+    0x23f01d51, 0x81314130, 0x4622861f, 0x6b495696, 0x7644bb7d, 0xdb7ef7e7, 0xde869848, 0x87b40444,
+    0x110112b9, 0xdd3a25ed, 0xae9529ce, 0xb89b2fcf, 0x34891541, 0x140fd8a5, 0x45bd7eaa, 0xe3e1e98c,
+    0x17511fae, 0xd6254f48, 0x985c1819, 0xad182ff6, 0x77e6f579, 0xebfa7e5e, 0x276c0c01, 0x95c9b174,
+    0xf78138f5, 0xf7679015, 0xa19692f5, 0xa279d50f, 0xbdc7092b, 0x07c39a00, 0xa1ee4e48, 0xecda2e6a,
+    0x93d20e0f, 0x9c3c6fe5, 0xcf87ee10, 0x03fb18bd, 0x2eb20ca0, 0x982bbba7, 0x420a20b6, 0x06001381,
+    0x5b3efc0c, 0x2b461d98, 0xc13058ce, 0xb3f00bb0, 0x7cf117f8, 0x9561d112, 0x5599718f, 0x0c778381,
+    0xbe811ebf, 0xfdfa4960, 0x6a7eaf97, 0xa184453b, 0xc56c3756, 0x19ec23bd, 0x13a1132d, 0x1c8046ac,
+    0x810eac31, 0xb63873ec, 0x5d877b8e, 0x09b6a6e9, 0x8a63461f, 0x2ebc25f9, 0x072c8f65, 0x66907cd6,
+    0x6b80d9aa, 0x2333e6b8, 0xe62ece77, 0xc18d5659, 0x53257d8d, 0xf5dbb501, 0x230bd757, 0x1492fac0,
+    0x6dd3f0d4, 0x0cc6cd9d, 0x628c7758, 0xfea67324, 0x9246e24b, 0x13233413, 0x9f2f19f6, 0x8b6530d9,
+    0xb6b54e79, 0x7781761e, 0x98008ae6, 0xca74286e, 0x0600c776, 0x2b32c9f5, 0xfec1f98e, 0xa66e651c,
+    0x26ee9ccd, 0xcdf243b4, 0x47dea93a, 0x9bb5c7d1, 0xd6b9a348, 0x8fc0d69a, 0x29341c0d, 0xc35c6910,
+    0x8f4e454e, 0x0b6e30f0, 0xb77fed26, 0xe05a1bcf, 0xc2679c49, 0xd3e56bcb, 0xce0862dd, 0x0e838d22,
+    0xfb376fc5, 0xd1d58d05, 0x6f1bc32a, 0x30c0ce6e, 0x1ab001df, 0x4b96d9d0, 0xa82ea7f1, 0xaafdc14d,
+    0xfabfaaab, 0xaca7e5fa, 0x44647829, 0x08d0d692, 0xdc957566, 0xe8b94e3f, 0xb8299b57, 0x75d4164b,
+    0x4bfb12cb, 0xb4e4f13b, 0x17ed8049, 0x7b796dd7, 0x9da28ddf, 0x711cb4b6, 0xeca95257, 0x2e3e9c38,
+    0x9846c95b, 0x1abe1e2d, 0xe5f2a09a, 0x92fe752f, 0x341c67aa, 0xf644596f, 0xc73e72da, 0xccc78eea,
+    0xd191f84a, 0x8a402bae, 0xe45c3995, 0x7e73a552, 0x14b87f10, 0xb78af937, 0x900c108a, 0xe2202a97,
+    0x9f8f1c62, 0x66813db5, 0x1923ecbc, 0xf14fcf85, 0x5a97bb59, 0x462e95b5, 0xfa09c7df, 0xedc0a176,
+    0xb94ee700, 0xe9e44848, 0x432e4a17, 0x39980b17, 0xc9e47f6d, 0xca734f87, 0x9d232351, 0x0ff14fd2,
+    0x437724fb, 0x22386854, 0x95062762, 0x68a1d9ce, 0x1663b27a, 0xcaa08af4, 0x46ffc8e0, 0xf4b45527,
+    0x6c67620e, 0x14d26e2a, 0xc0d70c02, 0xfc9472c8, 0x3cbc1cd2, 0x005af221, 0xaefd9b89, 0x2a177b4e,
+    0xa82b9953, 0x330a3a73, 0x072755b6, 0xc8c716a0, 0x8fe1daad, 0xdfb881e9, 0x90d8443f, 0xa2bdba5c,
+    0x0a109dcf, 0x900d23ce, 0x2563ab2b, 0x17b8d2ea, 0xdb9ca2b9, 0x545a4c61, 0xc283101a, 0x177e6db0,
+    0x7ba0c50b, 0x771c6754, 0x3e947ef6, 0xf916468e, 0x74b666d0, 0xbe767786, 0x915cc993, 0x355ac483,
+    0xa36dbf48, 0x16cd7acf, 0x75225b53, 0x283c0ddb, 0x6cc6e4f4, 0x5a9bd990, 0xa9c22fe6, 0xb2067c32,
+    0x9c2f5233, 0x3cff695e, 0xadfffaec, 0x000ba189, 0x7f96a850, 0xc2fa172c, 0x17fbe466, 0xcd471192,
+    0x4f89f360, 0x22316740, 0x2ec1f9a8, 0xa95b9bc1, 0x081007cf, 0x9f063f92, 0x16270fae, 0x7d269d4b,
+    0x937b4d67, 0x22faea88, 0x2f9447bd, 0x426bb640, 0xe194571b, 0x33b5124d, 0xdfaf3567, 0xb455f3cd,
+    0x657f9e87, 0x71203219, 0x6e03206b, 0x71a71e39, 0x0e9f24e7, 0x595b5e13, 0x9b741d4e, 0x7809c0dc,
+    0x94b3a071, 0xc6c4daa5, 0x9d910e95, 0xa2d726cb, 0xd3e827a7, 0xaded731f, 0x5221b9ae, 0xc3104686,
+    0xc52b3ed8, 0x77689df5, 0xc9bc4bef, 0x3e4a33dd, 0x613f6718, 0x9464e4fa, 0x5d792b69, 0xf08dc7c9,
+    0xde1b3f29, 0x605d1662, 0x970e5589, 0x3632a8e6, 0x3195aa88, 0x1930ae36, 0x796cb2b6, 0x2431a78b,
+    0x76e848cb, 0xf1e9df75, 0x57e40b27, 0x87198346, 0xa2c72d77, 0x8e675ae3, 0x1eef261d, 0xd3092ca1,
+    0x523a0ad7, 0x05f0a6cd, 0x145aed3f, 0xede3a4fc, 0x8bb4b18b, 0xdf10791a, 0x8d82ba90, 0x49d983bf,
+    0x595f3b19, 0xb3e4b723, 0x0518e091, 0xe57703dc, 0x9db7959a, 0x9df45f06, 0x363e0140, 0xacbad766,
+    0x64dda37c, 0x2b106978, 0xc949d434, 0x902e2bd1, 0x23f511b0, 0x94a5df97, 0xffd2c5d7, 0x164e351d,
+    0x7f62bb36, 0x89b39267, 0xc0f344a6, 0x786e6f59, 0x4459a139, 0x897c8d10, 0xc8618553, 0x56631be7,
+    0xeafd14b0, 0x6a75e33d, 0x7b77ccb4, 0x5be319c0, 0x816b8083, 0xdd292eac, 0x09440fa9, 0xed25a7c3,
+    0xf23d5ffa, 0xaeff2683, 0x61008f57, 0xd5c767a9, 0x906e623a, 0xca17a7a7, 0x437d1385, 0xf2a82bfe,
+    0x8d071884, 0x050fb70f, 0xb6e8dba5, 0xb6ba0b65, 0x3e069f35, 0x21f493a5, 0x37c01897, 0xa076ee07,
+    0xace2b0ac, 0x2b675ace, 0x36b343a1, 0x72c22704, 0x743cefd1, 0x61fe6ae3, 0xcef605d3, 0xfc45c944,
+    0xd83e02d7, 0xaa56cd9b, 0x8543b697, 0x1d19957a, 0x72d479ed, 0x0e33c100, 0x7362e76e, 0xd5a4c9e9,
+    0xef6bfa6b, 0xf6123ac9, 0x632ded03, 0xa04dfb5a, 0x66f4312f, 0x8e6427eb, 0xd92d99c1, 0xfd158870,
+    0xf3cc0d93, 0xba06ba50, 0xfef0d1b3, 0xe7ffb8a9, 0x22de2c90, 0x56910d6d, 0xcc2d7288, 0x4e79f27e,
+    0xff2ee961, 0xa7796b1b, 0xf20d1a9d, 0xf8cc11f9, 0x100bdc96, 0xeb36b78a, 0xcb6dcfdc, 0x4db1e36e,
+    0xa645cbfc, 0xd612df2a, 0xcab255e7, 0xb0dfb0a2, 0x8cefdb18, 0xc595e21c, 0x687c242e, 0xae72b3d6,
+    0xc4dbe7d6, 0xca0a724d, 0xdfef6af4, 0xf1022de7, 0x7ff00156, 0x8cb917cc, 0xe7542ff1, 0x4333de45,
+    0x0aa5c9ad, 0x0063438d, 0x5794bfd7, 0xdc4268a2, 0xa193ed99, 0x413ef719, 0x2306bec3, 0x4e26c482,
+    0x8085f5d7, 0x5a0ded12, 0x4959bf93, 0x8678331b, 0x36a442cb, 0x68182809, 0x336b98c3, 0x832a4c85,
+    0x7879bdca, 0x9180b6f7, 0x3ffabeee, 0x02760377, 0xc0120cbf, 0xa42c88fb, 0xcb27d2ee, 0xa1920f98,
+    0xf26aa04f, 0xca4e5efe, 0x688a741a, 0x82e4c064, 0xf1cd5385, 0x18de4d28, 0xa2570561, 0xd4770923,
+    0xa45f8aa5, 0xbcfd38d6, 0x8b9eee05, 0x3edaf810, 0x60be44a9, 0x4f2c3beb, 0xc7a1479b, 0xd712071e,
+    0xea7025b8, 0x1bf5329b, 0xb20ededf, 0xbe124b7e, 0x9d52954c, 0x568a45e7, 0x2933bfde, 0xc0e4c314,
+    0x3fbd26fb, 0xb847e77f, 0xeb36e03b, 0xd8dded6e, 0x84ffaad9, 0x57749eb1, 0x58423391, 0xc4198d30,
+    0xfce859e9, 0x61dad626, 0xd3435a70, 0x84b4f9e4, 0x8f04585c, 0xea280a91, 0x72dac00f, 0xe2799607,
+    0x7d0ad125, 0x0234ccc3, 0x4e1048c6, 0xb67838b5, 0x6ba8403b, 0x1341036a, 0x66dfb15a, 0x5aa8f209,
+    0x46a6499d, 0xc9467f01, 0x1f03b751, 0x82fb7155, 0x1323a6dd, 0xc27cd9cb, 0xbde41466, 0xe003e421,
+    0x00000000,
+    0xb157f8dd, 0xbf6d3365, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000374144419156711147060143317175368453031918731001856 */
+  { 0x00000000,
+    0x0c38818c, 0x8551fb8d, 0x77dcdecf, 0xebe55c1a, 0x69694f44, 0x91fa3fac, 0xb29c4300, 0x5b96fdbe,
+    0xa88746bb, 0x7ff9b2cb, 0xbb0ee592, 0x9d468f6a, 0x0d617bd9, 0xc4f5bcd5, 0x30d5845f, 0x0b4ece89,
+    0x38db4f6e, 0xfc23c67c, 0x25d96701, 0xda68fcec, 0xbccd9fd5, 0x8cbdda0a, 0xa27b9ba7, 0x7afb4cf3,
+    0xe521af01, 0xcebd9b3b, 0xeccb3740, 0x8b547adc, 0xdad4980e, 0xdd385aee, 0xaec700fb, 0x379a3eb9,
+    0x8354da33, 0x57760f5e, 0xe604a74e, 0x540a8967, 0x411b7a97, 0x974a83ac, 0xf7aee105, 0x8d9c2190,
+    0x18fcd0d4, 0xa9fc121b, 0x19224cce, 0x84a71e7a, 0x6569913f, 0x7f285fac, 0xfdd10c02, 0x13e279a4,
+    0x693ae318, 0x3db6a3dd, 0x8480c89a, 0x946bb480, 0xee0f9249, 0x6eaa6d01, 0xd96ea058, 0x64cd60fd,
+    0x2b07a78e, 0x2613cbc7, 0x487993e3, 0x547dedc9, 0xe0d0df0b, 0x4694f687, 0x21e094d0, 0xfbd33dbf,
+    0xce97ef48, 0xca748ecb, 0xccb476c0, 0x2d9d173a, 0xff328c0a, 0x28aefe0c, 0x9b911508, 0xe7f3b451,
+    0xfb3ed534, 0x2cf9abc3, 0x6d731ef7, 0x09ab9765, 0xde13e72f, 0x92e2508f, 0x6b466618, 0x492b05a4,
+    0x559f6cf4, 0x2b5787e2, 0x02849253, 0xe48248ff, 0xa454e3f0, 0x7d3d0344, 0x88a460bd, 0x08e6568d,
+    0x3661dacb, 0xca42968c, 0xc27617bc, 0xb3ffac9a, 0x80969718, 0x9b981ef4, 0x91ad79be, 0xf77add7f,
+    0xc5e6e4ad, 0xeeb55783, 0x551ac2dc, 0x49a20ee5, 0x72661e18, 0x79b6ec44, 0x929e1507, 0x226269fa,
+    0x6184426c, 0xee9bcb0d, 0xf5e71d35, 0x1d0ca09c, 0x1e6413d8, 0x26cba5fc, 0xfff49635, 0x2fff4d63,
+    0x5c8ce38f, 0x8466740d, 0x61269bc8, 0x0afb6442, 0x35740d46, 0x5e715037, 0xaf63056c, 0x54343d61,
+    0xb6dbf682, 0xf8be4d3f, 0xbff84504, 0xacb99f5e, 0x85451807, 0x12ef4a55, 0x82689297, 0x8516166e,
+    0x813ecda2, 0xd7aa5d0c, 0x3be9f3f9, 0xaf3e22e5, 0x9ac15e9e, 0x4db6a007, 0xb35d4176, 0xe1b00ed9,
+    0xc99f813e, 0xd340f66b, 0x3968bcff, 0x9f3a2aa4, 0x830c71ac, 0xde04f648, 0x312ccc30, 0x465878a0,
+    0xe047dd6f, 0x42d88071, 0x6c282cc3, 0x031e9cf9, 0x989baf36, 0xf65dffa5, 0x16623fea, 0xe469c60c,
+    0x62bdcf7a, 0x998a8690, 0xf37eec73, 0xeb8ffa8e, 0x58fc263b, 0x188abb17, 0x6035fe68, 0x6662321d,
+    0x62e34eec, 0xb4d3d793, 0xdbf30ca2, 0x4fa4cba0, 0x9cd37e9b, 0xf4ee49e7, 0xe48e5ea2, 0x5beb0d2b,
+    0x11ac58b4, 0x8ac19942, 0x4d32adde, 0xd3277694, 0xa657bf77, 0xed78f09e, 0x79f61673, 0xe3a2bc6c,
+    0x5a88d57b, 0x280a0442, 0x99fcd301, 0xf8f1899f, 0x2f75f248, 0xe807568a, 0x8dc7e813, 0xc90cb377,
+    0x28ae4b25, 0xad14bc68, 0x7fde395b, 0xeed85e6a, 0x8e08838a, 0x3ac08ef3, 0xb8523f94, 0xfe8444e1,
+    0xae9f9af5, 0x5c22134c, 0xdd3a5a07, 0xc116aac1, 0xec9c714b, 0x9ef42118, 0x59c3ae3e, 0xab825f7f,
+    0xcb6c10ca, 0x41d4e066, 0x2a9dd021, 0x7020b189, 0x6f932b89, 0xf57f92ef, 0xce8b3f59, 0x4d443800,
+    0x1f333807, 0x8fec28fd, 0x2d264000, 0x23a0362a, 0x53890c13, 0x3853f9ff, 0xd8373c76, 0xbd5e4272,
+    0x88cbd226, 0x59fc2aeb, 0xc20bbcbb, 0xc3f3a8f4, 0x804d52e4, 0x024aa581, 0x6be64c11, 0xa5fb8485,
+    0x201de363, 0xbb49314f, 0xf2dca57a, 0x39eb4de6, 0x20c2ccf7, 0xdb1b6263, 0x0a4ff0a5, 0x395fb553,
+    0x23607e27, 0x4d493bd2, 0x563882ef, 0x4b857e1a, 0x6d3c36b2, 0xa0b0a9a3, 0x674d5ca2, 0xff6561cb,
+    0xbfe230ea, 0x65f79401, 0x08737dff, 0x1905408e, 0xf25dc5cd, 0xa450e183, 0x6b8d298d, 0x5b1a8dbf,
+    0x0da7447a, 0x900aab00, 0x30a3cfb4, 0xd37e74df, 0x49ddb056, 0x4a31de77, 0xe1e193b6, 0xcc48f952,
+    0xdfd0d4a5, 0xf063b8d4, 0xa053cb59, 0x4f036151, 0x00f3b6a1, 0x13efa8b4, 0x40ca1320, 0x4c623a85,
+    0x09f6bd3c, 0x58102bf0, 0xafdd3d93, 0x74a63a45, 0xc142e76f, 0xe366faca, 0x07396870, 0x883d6c6c,
+    0xe21bdd98, 0xa00fd7b3, 0xabe76665, 0xe9e26ab0, 0x9e8f9f01, 0x06a12669, 0x555ea418, 0x63dfe34e,
+    0xcf11c28b, 0xe55ac216, 0x5d9c75eb, 0x27dac684, 0x932979b5, 0xa9451ad1, 0x3f8727e3, 0x8368c494,
+    0xa54145c7, 0x910e28c9, 0xcad34495, 0xa050a79e, 0xdd899185, 0x3015b9e0, 0x5ef73905, 0x50871371,
+    0x9843ffcb, 0x3fbf7e75, 0x9aeb3730, 0x787a7b61, 0x0ddf8c05, 0x89b97444, 0xcad6bb8c, 0xeab94716,
+    0x6293ad5e, 0x0bad9f82, 0x619e0a36, 0x1329d9dc, 0xa22b16a0, 0x59460abd, 0x408e2eb1, 0x4e9c8a63,
+    0x77d59586, 0x1b4d72b0, 0xb8227060, 0x7102d974, 0x4e2958d2, 0x2c55185c, 0x18204d32, 0x3510e2e1,
+    0x8676c91c, 0x8998395e, 0x3dd63082, 0x1f960770, 0xbb58db1a, 0xc4051ad8, 0x90f613c9, 0x664892f0,
+    0xe05fd286, 0x34b1ed01, 0xfdd7410d, 0xa538a6bf, 0xcd077709, 0xed9e8c14, 0x95e9bac4, 0x72f44539,
+    0xaf7e245f, 0x4bc57ea3, 0x8ba3777c, 0xa574ca09, 0xad111b7e, 0x45cb31a4, 0xc639a0a4, 0xd96952db,
+    0xc7776a5c, 0x0cd0d0d4, 0x0c86980e, 0xae45c292, 0xea763fd6, 0xd0627ab1, 0x4f594748, 0x329f073e,
+    0xc029b9bb, 0x8ef202f8, 0xb87fa74c, 0x99cf1178, 0xaefc8b2c, 0x312828b2, 0x1db79a6a, 0x4f288bf5,
+    0x26f764d8, 0x8cbe6dd1, 0x0c46679d, 0x74c93c33, 0x00532292, 0x481906eb, 0x58db3ed6, 0x484c231f,
+    0x3f2d4d80, 0x436dfd40, 0xf9eaa45e, 0x7ca592b4, 0x65318ba8, 0x428b740f, 0xf5784f0b, 0x47eb1d06,
+    0xbd6ca5f8, 0xecb4c236, 0x6ad8f6f5, 0xddc7ceed, 0x484062a2, 0x34dac10c, 0x82e3715d, 0x5e9601fe,
+    0x5af2975a, 0xb2794e01, 0x52f328d2, 0xe0f406bf, 0x44e53ba6, 0x26d833e7, 0x1e19bdad, 0x59684741,
+    0x171dfbd1, 0xf1e701dd, 0x75cc483f, 0x7df49313, 0xd62aecf4, 0x86e4426a, 0x60f122c3, 0x8a6e7720,
+    0xd0b443be, 0x4e7b8ed8, 0x94a940b9, 0xf6e000e1, 0xb0b436fb, 0x576b339c, 0x36e657ab, 0xc054cf8e,
+    0x98e3010f, 0xbeccb6e3, 0xc8fc6a58, 0x58ffdecf, 0xc97b4a5c, 0x93bee899, 0x28c97030, 0xa5571d46,
+    0x1b47792e, 0xaeb434fa, 0x37af8ccb, 0x48216e73, 0x9db9d004, 0x99632182, 0x563e599a, 0x7c395af5,
+    0x895f5a26, 0x996a024d, 0x64d498d1, 0x751f0ceb, 0x11cdf62a, 0x427e8c66, 0x31845469, 0xef30bef7,
+    0x5a6af6ea, 0x944ac9eb, 0xa2b34c0e, 0xc48479cb, 0x49df9055, 0xaa42bef5, 0xf97251cc, 0xb8b0e9eb,
+    0xc34e539c, 0x7143395d, 0xcd38f332, 0x2d7c07d6, 0x3c149321, 0x716204f7, 0x24ee5d54, 0xb77d7da7,
+    0x7cc9544e, 0xd275dfe5, 0x57588856, 0x255953a9, 0x200e1087, 0x078f76a0, 0x432e8de1, 0xd6f5ffbc,
+    0xb705d907, 0xccd04877, 0x44650161, 0x25b24905, 0xf541bcb6, 0xe85b8944, 0xf05d1ace, 0x747d97af,
+    0x18b84942, 0x8ea76b37, 0x4dbbf3ba, 0xd79ba01c, 0x01b0ce73, 0x6abc42d7, 0x30d5efe8, 0x5e115a1e,
+    0x3812166c, 0x5e17f52b, 0x248757ff, 0xf1ef7f57, 0xc369f2a0, 0xa2e3baae, 0x9fd86562, 0x153a1016,
+    0xc749ab3e, 0xa9b39c90, 0x4a1b8bbc, 0x06036aca, 0x42cfbfd5, 0xf5896835, 0x67b7ebc1, 0x2597065f,
+    0x41b1d715, 0xb1eaa890, 0x1f4abc72, 0x98cacb01, 0xb8de66c0, 0xe2f70aeb, 0xd9a28f44, 0x66bec715,
+    0x07f16510, 0x5c3bef00, 0x305304cf, 0x99035010, 0x9ff8f741, 0x3035832a, 0x9d89465a, 0x4ae976e9,
+    0x27945d7b, 0xbeaebd45, 0xa1f9736f, 0x5212d0af, 0xe4d92984, 0xe01ba6ba, 0x02d425b9, 0xf7dd2109,
+    0x32a6b012, 0x4dadb162, 0x02ba7ebc, 0x5911c7f7, 0xfe8dd05c, 0xa10d8f0c, 0x9cc8a878, 0xde331c0c,
+    0xa046538d, 0xb70bd4d5, 0xd29eed98, 0x858f9906, 0x0cd32f35, 0x53205cce, 0x0d8196ce, 0x0a184c77,
+    0xd15be95f, 0x0edef549, 0xc1201c6d, 0x5ee0fbe4, 0x700e4578, 0x9075b247, 0x89d066e0, 0xe27de139,
+    0xf659fc1d, 0xc7465647, 0xbde45506, 0x47df5b0d, 0x2e9e0e77, 0xe3f668fc, 0x96a7ec82, 0x4e6b7a7a,
+    0x011b176e, 0xc05ae9df, 0x8490797f, 0x3f293f63, 0xd34647b9, 0x2a93847e, 0x6adc0284, 0xb461a6ac,
+    0x1555f742, 0x62b6f067, 0x12763f61, 0x699006ef, 0x18fd13a6, 0x31d9eb65, 0x00dc00e2, 0x78f3114c,
+    0xb66b3b62, 0x45955884, 0x8ae98477, 0x35ba018d, 0x7af79013, 0xa52b4d85, 0xd0466b78, 0x45357c7b,
+    0xc26629fb, 0x282ea333, 0x4d5db170, 0x518727a4, 0x6ce6df99, 0x1e8a35de, 0x91025b88, 0x9c8f4e62,
+    0x1fe9aac4, 0x3fe0fbc5, 0xf76b1616, 0x5b9b923d, 0x1e567327, 0xf8003d13, 0xa1c19ae9, 0x7d29175a,
+    0xa5a0422d, 0xaffc3ae5, 0x1e57ee93, 0xe5e3819b, 0xebee1e99, 0x1fa39eec, 0xd9acb984, 0xb01233a9,
+    0x0863be99, 0x3ebcf133, 0xf5fc1fae, 0x7cf63c18, 0x277457e2, 0x687e7da5, 0x1006d0e2, 0xa5019a47,
+    0x6ce668b3, 0x1b50dfd4, 0xf3546d55, 0x03ae2715, 0xf149d1a2, 0xc11db36f, 0x9d248211, 0xcba8ee5f,
+    0xd0335ab2, 0x85d8bcc3, 0x8c8f9c79, 0x298711e3, 0xd744c09a, 0x992883fb, 0x259148a4, 0xa5e57252,
+    0xfd2dfbe1, 0x763b3fd8, 0x4c9e3044, 0x24ef1e0b, 0x7a269116, 0xb9828500, 0x6ee1b391, 0xce7d2f9b,
+    0xb151649f, 0x01dd907a, 0xd8ac2137, 0x56b32746, 0x1611ef40, 0x9d835ad8, 0x51d97d7a, 0x8f53a179,
+    0x464b542c, 0xc7649ecc, 0x22b59e60, 0xa60ff99d, 0x78ef71ca, 0x077643d6, 0x3b7749fb, 0x5d376d44,
+    0x993dfeb8, 0x25caea27, 0xa0e24ec1, 0x665e6acd, 0x41250cf4, 0x67052928, 0x87a83926, 0x3a82833a,
+    0x9d324172, 0xe20ae3c8, 0x2ad88336, 0x0e6762c8, 0x08e1bbd3, 0x10250e65, 0x38cd329e, 0x222f85b0,
+    0x178b801c, 0x7180a635, 0x39c17eff, 0x28a8b5f0, 0xa63508ad, 0xa44a53e0, 0xcebbecaf, 0x9e47aeb1,
+    0x9123ab39, 0x4b26c456, 0xa0b9bfc5, 0xf4228647, 0xc77e8d51, 0xe525470b, 0xb694faee, 0x6f428b34,
+    0x01462da7, 0x14e2fb3b, 0xe1574762, 0x5f5366e6, 0x4e4f5819, 0x893c05ca, 0x84dc9db1, 0x016fc6f1,
+    0x83e08f3d, 0x42ae255d, 0xc6e6316b, 0x4cbd8f87, 0x9fe8d87c, 0x354a68b5, 0xb7a4acbf, 0x126847db,
+    0xf4bb3efb, 0xe1a71293, 0xdaf0a9a7, 0x2dbbb67e, 0x73136bb0, 0x886a2566, 0xbee07284, 0x15f6aa8e,
+    0x1fe8f0a7, 0x8a32bab5, 0x5ff0e895, 0xe8e78d44, 0x0c819682, 0xdd77e7ee, 0xc36334ad, 0xa00119db,
+    0xa92f1554, 0xa76dbda4, 0x0c31bac3, 0x56ae3561, 0x1ec8b253, 0xe9771592, 0x26a36ebf, 0x9b310f8c,
+    0x3bca5b08, 0x027006dd, 0x2a1d60d3, 0xa1f87057, 0xc2d7bde8, 0x89da0636, 0xf2f5df13, 0x4119362b,
+    0x6eb7f3a1, 0xb927d830, 0xbc2ce503, 0x24e21253, 0xaa0bc6ad, 0xffd877f8, 0xa4e2a89d, 0xe9b60e9e,
+    0xaac1e0f1, 0x35be195b, 0xa2b26dde, 0x6dd8554f, 0x1bef2ee4, 0x3e93ff95, 0xb2034b34, 0x5b68b4e4,
+    0x9b31936a, 0xd85ef782, 0xb8bd278d, 0xf27fe0b4, 0x9d1f3c23, 0x819136a7, 0xf3ea0885, 0x63fd55c3,
+    0x6bd152fe, 0x9755f308, 0x0a9d7966, 0x791dc879, 0x105cd575, 0x59b90563, 0x99990dc2, 0x84f59ba0,
+    0x34ce52f6, 0x79ae3e95, 0xc4cb5319, 0x3de362d2, 0x0a01b7e7, 0xeabf18a4, 0x48363b5a, 0x5c450856,
+    0x14fecc2a, 0x7101739b, 0xf1e639a1, 0xd0a235ad, 0x77bd95d3, 0x52e7b522, 0x658e00d7, 0x6d27f73a,
+    0x976443fc, 0x26c66ecf, 0xf2fe687a, 0x8ac9879a, 0xf290eead, 0x3d4bde21, 0xec4f7c52, 0x2aa99bff,
+    0xc1011836, 0x86ae0f39, 0xc0d0df94, 0xedf8443e, 0x5d8b64ea, 0xf8c582ba, 0xa3b32c44, 0xde793db4,
+    0xce0dbf9e, 0x641c5cb3, 0x83137ccf, 0x080d87ee, 0xcb35f4f3, 0x97b53a06, 0x8f885c77, 0x1f1a759f,
+    0x38cc78e1, 0xfa28a1c2, 0x8d97dfce, 0x71a072c7, 0x3f51c4ea, 0x0a77b7ae, 0xa89ce90e, 0x8b892db1,
+    0xa5685d8e, 0x9a7b851f, 0x4148ef46, 0xcad66cad, 0xa46fb4c4, 0xe47f453a, 0x5e92d226, 0xdabf7821,
+    0x56b63137, 0x376c4f30, 0xd04d046c, 0x73bc9495, 0xc742a167, 0x90fe0835, 0x6ae6cede, 0xc5610e33,
+    0x613b3921, 0x51659e47, 0x98b39268, 0x72705116, 0xd480a76b, 0xfe0c5a2b, 0x57720aa4, 0x4dea7f4f,
+    0xc34df5c4, 0x3013d197, 0x127930dd, 0x154ad3fd, 0x82bb792a, 0xf50c935e, 0x7a0adb9f, 0x46bb704f,
+    0xdfaa68c8, 0x2991ff61, 0x15cc12cd, 0x93ceab20, 0x010f562f, 0x266c4ceb, 0x6759bd01, 0x1525985c,
+    0x3362bafd, 0x63f2232c, 0x01fe5cb2, 0x77606861, 0x248e7574, 0x807889ac, 0x032ea3d9, 0x01d76666,
+    0xc083dcb6, 0x36b7af44, 0x7a914284, 0x5a7bf503, 0xa8ccc48b, 0x7a620759, 0x88d79767, 0x1170a266,
+    0x219ca55a, 0xa4ac96e9, 0x2024c3f9, 0xd88767c0, 0x93c93cb7, 0x83fc3231, 0xb86a0ab9, 0xd3c9f9ce,
+    0xa363321e, 0x42644b99, 0xd1ed2b70, 0x1cfe5bc9, 0xeb92680b, 0x95b21f17, 0x634af18e, 0xe4c43fef,
+    0x4c8cea60, 0xfa718445, 0xd428f0b4, 0x59217ec1, 0x87c7846b, 0x93650cd5, 0x5da4f0b0, 0x300f6e5a,
+    0x596c8413, 0x58f28cc9, 0x4c7ff03c, 0x2e481b2d, 0x928389e6, 0x03d9039f, 0x31c5752b, 0x56cd5316,
+    0x06bf213a, 0x91d418d1, 0xf4082b4f, 0xbb59e53b, 0xd96ee205, 0x33c6a462, 0x08f77a4d, 0x2f889c7b,
+    0x17173f33, 0x6b110ba1, 0x3ae655bd, 0xb4ba9ac6, 0x9b35f98d, 0x51b03242, 0x04fa5327, 0x0d2ba6c4,
+    0x4865bf88, 0x85ed653e, 0x14012b65, 0x9b87f3c6, 0x56dcf716, 0x925aa59f, 0x8abf022e, 0x636392ca,
+    0xb4799cf8, 0x11f265c9, 0x00b40c9c, 0xe8ebec6e, 0x15de5fe3, 0x43de7284, 0x5b80695d, 0xe42f49f8,
+    0x5ba6f675, 0x77f6ae30, 0xa873630c, 0x4807b544, 0xae487b49, 0x05dfa51c, 0x4b82ce53, 0xb9db81fc,
+    0xd2bb0414, 0x4b1ab990, 0xbca2d77a, 0x7a9aca35, 0x28bb54e7, 0xc6c4fb48, 0x53697b8a, 0x82399e72,
+    0x94306992, 0xa5cbd0aa, 0xf7294b0e, 0xcf0a2191, 0x27310099, 0xdb4a4ffc, 0xc5951daa, 0xdd83d887,
+    0x2ff2fdb6, 0x3918a6c6, 0x0f8656b3, 0x840b4f93, 0xbf23851d, 0xc71767e8, 0xb422f43d, 0x6ee81182,
+    0xca7da0fa, 0x65d4cbc4, 0x6768dd65, 0x158422ec, 0x89499c54, 0x7b9a8f47, 0xe8de6139, 0xfec40d01,
+    0xb5a3205c, 0xc2ea87e0, 0xffcd2354, 0xae789a1f, 0x98c5d0eb, 0xbe62ca3f, 0x9ca8e7f7, 0xdf1bf2ff,
+    0x5791e4cb, 0x9314de78, 0xa45e33a3, 0xe4611bb3, 0x3aed9fd9, 0x7b4b0f41, 0x7ce629db, 0xd614d1c7,
+    0x3e695e25, 0x84c9e21b, 0x33ea2a11, 0xf0b082ca, 0xfe2d89a4, 0xe43f1668, 0x81a17442, 0xbf9e3a9a,
+    0xdbbac31e, 0xa3677ed5, 0x42af3357, 0x0b60b676, 0x772dcf3c, 0x1eec190a, 0x7e6542f9, 0x5abb9190,
+    0xc00ea0d7, 0x8b62947f, 0xf0609e0b, 0x42e16c9d, 0x08cae654, 0xc84470b5, 0x0b071304, 0x243de18e,
+    0x05231e4a, 0x1040370d, 0x5e19a983, 0x6ed92bb9, 0x0a4c5adf, 0xdb4de085, 0x949d6184, 0xa95575cd,
+    0x00000000,
+    0xd8abfc6e, 0x5fb699b2, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000187072209578355573530071658587684226515959365500928 */
+  { 0x00000000,
+    0x77e713bb, 0x6c5332a4, 0x9cef2b68, 0x405905ed, 0x424a3fd0, 0x9b4455eb, 0x49221655, 0x37d613b1,
+    0x272fb4d9, 0x4ba8ed23, 0x9816b960, 0x932cbf23, 0xc2158690, 0x87f99c79, 0x05303ae6, 0x65a20830,
+    0xe3205452, 0xa291f248, 0x647d09ef, 0xc985cab6, 0x70a94537, 0xe5405f0d, 0x8bf2202c, 0x78d2fb18,
+    0x65020093, 0x348c0b51, 0xa2b00f7f, 0xff74c8df, 0xade175fc, 0xbbc99b13, 0x70426461, 0x396566b0,
+    0xb4bc9f42, 0xb8adb90c, 0x7072ce97, 0xc9244eab, 0x826bf1c6, 0xc5b66b5c, 0x745262cc, 0x84ec2a87,
+    0x228b1df5, 0x391ca945, 0xc887c0a8, 0x78c8aa39, 0xd7bf8ba8, 0x3725dfe5, 0xbd3d1310, 0xf73c51a5,
+    0x1d928265, 0x4b17933f, 0xda26088d, 0xab5ed1e4, 0x946a0cfc, 0x803419aa, 0xb5d08dd9, 0xd3e40929,
+    0x40153a29, 0xf884dba1, 0x6b76c06a, 0x278053d7, 0xaab6364f, 0xcfb87d58, 0x5894548e, 0x24d70b2c,
+    0x668ae26e, 0x61bd56b6, 0x5c104b96, 0x8336c887, 0x3c6531ef, 0xb2d62ac0, 0x36b03036, 0x1aa70cd3,
+    0xfc8ac98b, 0x7eea4fdb, 0x1362d240, 0x52121490, 0xbea6e0eb, 0xb706232c, 0x6c8c13d8, 0x3784e42d,
+    0xb3c12d54, 0xf4a2ba40, 0x3a1134a6, 0x1d294e9c, 0x44320bba, 0xe4872b38, 0xe6c829cd, 0x30497dbc,
+    0xf2cea726, 0xfd7f655d, 0x3651f066, 0x2b283756, 0xe97bdca9, 0x5d9b7cc2, 0xe0d293d3, 0xec57f134,
+    0xa94159d6, 0x08731e33, 0x5a83b260, 0x571abc30, 0x3a07748c, 0x30eb620f, 0x619e5092, 0x04cbef3d,
+    0x3c22f25f, 0x1a00cece, 0x500917b4, 0x947342f8, 0xa73bfd9a, 0x18039778, 0x3e3d7142, 0xb0e4ca09,
+    0xd591bb3b, 0x254548da, 0x49d2ed4d, 0xc942d03f, 0x92275982, 0xc5d4e9b4, 0x01d9edbb, 0x9f5e41a7,
+    0xa9d15a0f, 0x44f36c73, 0x5d7a895f, 0xe232f7e0, 0x96e9f865, 0xc38071a1, 0x3dfe7b7c, 0x7758443b,
+    0xd34ea82f, 0x4d26c20b, 0x4d4b5d8b, 0x17980dfb, 0x61f75dde, 0xb80ff507, 0xd83eca5a, 0xdbc614ed,
+    0x9f92a9de, 0x38a8350e, 0x7cdd433b, 0x64c147a0, 0x6f6f802e, 0x803689d1, 0xe2fc1b48, 0x47fbaea8,
+    0xe39aa4c3, 0xaa0a6211, 0x8ec2a318, 0xc6057f00, 0xe57170be, 0x496830aa, 0x860815c1, 0x7ea33385,
+    0x574911cf, 0xb44506cb, 0x3c7ada47, 0xb606a0d1, 0x9ece8fd3, 0x18ced81a, 0xe6bce298, 0x1627be30,
+    0x1596f5d6, 0x26a98149, 0x04f8b9f4, 0x33df310f, 0x7969be3e, 0x7b9f25b6, 0x75c00d40, 0x2a7769ac,
+    0x65f2ed49, 0x7cf880fb, 0xcf115feb, 0x6a881185, 0x729cf728, 0x17ac8003, 0xb2ddb69c, 0x5a90f33f,
+    0xe38dc405, 0x03959177, 0x5355f0cd, 0x15ff7e95, 0x75b1fbb4, 0xf06cdddb, 0xf8c8f9b8, 0x4dbe7e25,
+    0x09593428, 0x84581072, 0xe109f084, 0x739b4b3a, 0x7c479577, 0xf3279616, 0xb9a68662, 0xc1bd4fdb,
+    0x69a46d7f, 0x82466794, 0x8735677b, 0xaa984743, 0x277ffd74, 0xbb1fe490, 0xdfb16713, 0x32fcc97b,
+    0x0adafd98, 0x7bb3415d, 0x0ee69071, 0x6baa7acc, 0x4d4267b8, 0x9e3132c0, 0x7863c0b7, 0x5e8d43db,
+    0x9443ccda, 0x02101a79, 0x3a6bb42e, 0x34907d75, 0x6df527f8, 0xc3f13fbe, 0x18f4d164, 0xfab6aaf3,
+    0x3854a23d, 0x553c71b4, 0xe9e75744, 0x6da766f7, 0x721d693f, 0x0650ef9d, 0xf196b8dd, 0x9eecb187,
+    0x2c4b9349, 0x6e78c759, 0x53b9f5b8, 0xdc24e42e, 0xb2e8b2e0, 0x372087c3, 0xc94d80a3, 0xd824ca0c,
+    0x8c82e4ca, 0x1213f63c, 0x327b5fa3, 0xd9343f68, 0x370e96ae, 0xe781c935, 0x8e57b3f8, 0x2b047ec9,
+    0x590effbe, 0xc571111d, 0xf8e7bfba, 0x121a8b8c, 0xc1243a3e, 0x443d6ae2, 0xe867dda6, 0xc585f5b6,
+    0x4d84140f, 0x2492338e, 0x2282cf18, 0x0d8abb2c, 0xb0f52068, 0x1e13cc53, 0x320c2c98, 0xc45045c2,
+    0x0a0c92c5, 0xfea2f95e, 0x6d5dd770, 0x96c14202, 0x632eed93, 0xcf38518e, 0x90f4af0c, 0x31be61fb,
+    0x3d03b975, 0x212785ef, 0x5a752f9d, 0x092f1863, 0x7025b931, 0xf668e74d, 0xb97c2f75, 0x732410ad,
+    0x69b0caf7, 0xdc5856ea, 0xa65f71dd, 0x196dde78, 0x402211f1, 0xb3220f17, 0x23bf1128, 0x6df14529,
+    0xc4265a6e, 0xdef9119c, 0x00955f4a, 0x337edf08, 0x5eeee0a0, 0x5b347101, 0x69f2b7d6, 0x6f8182fa,
+    0xde24b8bd, 0x41dbb357, 0x7eda0b11, 0xfa2bf404, 0xea4cfaa4, 0x1b2d3a4d, 0x836a52e9, 0x89af0fd0,
+    0x40a743f0, 0x2f564fc0, 0xfec623a8, 0x18e06470, 0xccfbd5ff, 0x4a8e4347, 0xdf7de848, 0x3fa9e615,
+    0x5caea332, 0x137a4fb4, 0x9fc4dca0, 0xac14653c, 0x6eb696bd, 0xb4c85309, 0x586a56ec, 0x6253335c,
+    0xfa2fcaab, 0xac313000, 0x5332de9d, 0x004bcfe1, 0x26f16b3b, 0xa2b0b5ed, 0x0fb16413, 0xb8a07b1c,
+    0x4d42af2e, 0xef251a06, 0xade7603b, 0x9f3fcac9, 0xa237e8da, 0x4d72d0c5, 0x1706f2b2, 0xcc4a49f7,
+    0xa545582a, 0x0679e488, 0x15b88a19, 0x06d83bde, 0x17758773, 0x5970c4d7, 0x9804c475, 0x470dd73b,
+    0xb0c9306c, 0x8ceef2ef, 0x00821106, 0xdff05236, 0xfa566465, 0x91d78f0b, 0xd7406de3, 0x930ca313,
+    0x5d4b446d, 0xfa873aed, 0x473ba2a0, 0xee9ab60e, 0x118660a2, 0xbeedc8c9, 0xad4e97f8, 0xffaa09f1,
+    0xe45e3963, 0x90c44715, 0x285601cf, 0xcc57d74f, 0x2a37a15a, 0xac8b0b6f, 0x57b16fd9, 0x3415d153,
+    0xecadcea6, 0x364fc9ab, 0xaeb7fb34, 0x287cbe2e, 0xb23af9d0, 0x67f6ad6e, 0xa9ec855f, 0x824ead34,
+    0x59cc27cb, 0x3de130d1, 0x8b652733, 0x0fcda3e1, 0x4f4f84b2, 0x35c7e657, 0x04b6ed8c, 0x3d7d2397,
+    0xa51cb34d, 0xb4288805, 0xc4ea9ed3, 0xd0008aa1, 0xf7fa7ea4, 0xf2241af6, 0x5b86feeb, 0xddd98b53,
+    0x221fbf72, 0x8c0d49c4, 0xb662ff20, 0x2efdaad8, 0x99e3accc, 0xc18ab595, 0x97d62f0b, 0xe7c50c3b,
+    0x2356e500, 0x8abf0247, 0x45644c88, 0xa6ac4bd3, 0xde2036eb, 0x3e2bc4e5, 0x38ae655b, 0x58c04863,
+    0x5489a223, 0x6b164003, 0x7e9612a7, 0xb570d8b5, 0x032743aa, 0xc6dbf4d7, 0xa0932dc8, 0x1ca79467,
+    0x135c20a0, 0xa1f018f4, 0x2c82782a, 0x345e6c51, 0x8fa65a3f, 0xb05fa8f3, 0x3301d169, 0x12a38e47,
+    0x65c21dba, 0xb72bd9d0, 0xa0c1ff11, 0x09698166, 0xe2a4798a, 0x757080ec, 0x42c76ad2, 0x2f8e00aa,
+    0xfd1ce9ea, 0xd3df93ad, 0x2d41b54c, 0x6613bb77, 0x97445057, 0x50a7b2d7, 0xda6b5e05, 0xbcf91c07,
+    0x462c9f39, 0x857ca5fe, 0x48ea3c27, 0x4c4f497f, 0x1d2726ac, 0x2f5bbff8, 0xa59db0ce, 0xed5c446c,
+    0x11447f36, 0xdfb36da3, 0xa65a7097, 0x9cf31403, 0x866f32b4, 0xad3bbd36, 0xb02dec84, 0x44e6b4c2,
+    0x364eddb7, 0x4e4edd57, 0x9d2f6f79, 0x155cc3dc, 0x939cc894, 0x69dfacfa, 0x96a12e7e, 0x3ed487e4,
+    0xd9bbb71e, 0x0ffcf46f, 0x377e4c33, 0xedec0e25, 0x834981d3, 0x4c8a3694, 0x72edd8ef, 0x0ab30b26,
+    0x009d28df, 0x121940e6, 0x84880cef, 0xf9ee50bc, 0xaf21f1c3, 0x3110ffa1, 0x67091dd0, 0x1476d0fa,
+    0x54e3db1a, 0xde535eeb, 0xbbe19b7f, 0xb917645c, 0xfa718928, 0xed0cc597, 0x819fa640, 0x24aca392,
+    0x940139d6, 0xa9617a8a, 0x3ec3bc20, 0x68c51e2f, 0x2286dcef, 0x1a6b35a5, 0x6ac6d682, 0x3d47bcd3,
+    0x61b701b3, 0xfbf295d4, 0x77238a31, 0x24e3fb9e, 0xd2476ab1, 0x41542daa, 0x60e14386, 0x771c89f0,
+    0x4dbfd5a4, 0x4e613bc6, 0x1bf7c881, 0x8155e01c, 0x7be55740, 0xa94c735a, 0x16264397, 0x615f4356,
+    0xf92dabca, 0x1bd11290, 0xcdd04854, 0x2e78764b, 0x5eea2b74, 0xf4488882, 0x68d96d3d, 0xac5936e8,
+    0x93644368, 0x87afed22, 0x7544378b, 0x423b284b, 0xe95e67e6, 0x846b9749, 0xf9e12627, 0x83a636b7,
+    0x88f40084, 0xd3b8089e, 0x7af06946, 0xdc931bf3, 0x08c2defb, 0x5ec52162, 0xab155971, 0x352e383d,
+    0xaac1239e, 0x36cbf94d, 0x61d09a1e, 0x7f4c1ce1, 0xc8154b40, 0x025f230f, 0x9c9a6aa5, 0x393aa11b,
+    0xca2d81c9, 0x3583cf6c, 0xec06a563, 0x029d053e, 0xc58fe99f, 0x7b3892e9, 0xc8a9b78c, 0x7e60c3b4,
+    0x0658f417, 0x3b21a9e4, 0x2d65df44, 0xbfaa10d0, 0xcd9c2f8d, 0xb6b69df8, 0xa7bdb3c7, 0xf19921f9,
+    0x4a8a086a, 0x662f1ee8, 0x2aedf1c8, 0x0fceef85, 0xa4c34210, 0xddbec04a, 0xf8b7cf3b, 0x1ed324c8,
+    0xe01da6e5, 0x10f4ec8c, 0x62cb981a, 0x2074ebfb, 0xfe723ba9, 0x57cd8990, 0x13e416e6, 0xaf7e07a7,
+    0x722ca2c1, 0x0e6c6ba9, 0x43d5534b, 0x641bd463, 0xbab401b4, 0x1e56461d, 0x89d6fa47, 0x8196e124,
+    0xfa04d788, 0xb38343bf, 0x1d01f246, 0xe152a1fd, 0x95f71f3e, 0xe79ef3bf, 0x6862e922, 0xde220a7c,
+    0xb1a5d6a7, 0xc5d6c72d, 0x2d5ae0d1, 0x542af86a, 0xe056b3c1, 0x12ff24f8, 0x6cedf5d1, 0xbbb63f49,
+    0x32090025, 0x8b3ce86a, 0x8a6f8240, 0xdb924db2, 0x060159f0, 0xad83fc10, 0x11f59549, 0xa2f4d906,
+    0x1536d86d, 0x89a22e87, 0x88860e4f, 0x6880512d, 0xe0361607, 0x12f54e65, 0x254170f4, 0x73118b7d,
+    0x3e15f38f, 0x0eb7bde2, 0xc0ec1003, 0x74dc3388, 0x2668144c, 0xa1aa38a0, 0xa9e9d09c, 0x1c562a4e,
+    0x83cace8d, 0xba99a277, 0xf95969b7, 0x7844e835, 0xecbd1e3b, 0x773641af, 0x555be42d, 0xfa488e97,
+    0xce23c514, 0xbd3b4a31, 0x7084ff07, 0x628080bd, 0xf9c801c5, 0x2f65c75b, 0x2d1f1d1b, 0x7405b2df,
+    0xb80eac72, 0xcb88ce38, 0x72b080e3, 0xaa79241f, 0x9bbb8422, 0x504ac414, 0xbfb99a95, 0xd0a4aa89,
+    0x9c5febd2, 0xc3737455, 0x78b0ffcf, 0xa75821f9, 0x4518d034, 0xc3c500c3, 0x5acf9d5d, 0xf48f9fd0,
+    0xbb191f9a, 0x9e30ff7b, 0x0bb56d2d, 0x09ef3ff9, 0xbdd92a85, 0xf552d5a5, 0x42fbcae8, 0xae7ebdbb,
+    0x0c279401, 0xbfebcce4, 0x14cab105, 0x3c5993c1, 0x6f6fae01, 0xdf967100, 0xd573ff07, 0x1a9fb250,
+    0x7e257ca0, 0xa9f28aba, 0x0135e844, 0x38c82cde, 0x080e1878, 0xc4edd36f, 0x0598deaa, 0x4494dff5,
+    0x861395a7, 0xf139d143, 0xf67e2f3c, 0xfb6449cb, 0xd0c71840, 0x19903b48, 0x6e8a60aa, 0x1323da31,
+    0x474d0a14, 0x445d6f52, 0x06f6f86b, 0xfb0b96d4, 0x787749b4, 0x216ba1cf, 0x76699d08, 0xf462dd52,
+    0x832d8529, 0x23255545, 0xf79f162c, 0xa7264465, 0x9dc99b63, 0x4e2659eb, 0x2afadac7, 0xeb0bf48e,
+    0xaaa790ec, 0xb4b5db79, 0xb429d40d, 0x4a15d4d7, 0x8eeb64f6, 0xd5853f73, 0x1566e0a8, 0x7d185cd7,
+    0x2706c8b9, 0x160a0358, 0x00a5529f, 0x8b8ed463, 0xf681cad2, 0x337562ae, 0x9a5cb502, 0xd137e3d1,
+    0x5f20b698, 0x60744e02, 0x8fb5fdd7, 0x2c873732, 0xf77289f2, 0xd308335b, 0xc755c67f, 0x26ac7195,
+    0xf7b1c078, 0x8b5eecee, 0x62f976ba, 0x8ac4c0d1, 0x40640abd, 0x92f03af1, 0xe909cf34, 0x71359fa5,
+    0x488c9d7a, 0x5c13539d, 0xe39997a1, 0x53d4b5ea, 0xf3efe092, 0x231d28bc, 0xfe3d33d3, 0x3cad938d,
+    0xb1cfd264, 0x0b981999, 0xcd66418e, 0x2c0e307b, 0xc0efdb9c, 0x5877947d, 0xb95c47b1, 0x1e7b3c20,
+    0xb55aee7e, 0xbe508894, 0xbce93b6d, 0xac6ff466, 0xc0219212, 0x15bda613, 0x2dd4955f, 0xe680a3d1,
+    0x5b772552, 0x55c104d8, 0xcc179557, 0xed3747d2, 0x5b7b1b18, 0x98e2c005, 0xcfa2796f, 0x0114c792,
+    0xbd38782e, 0x41fb28ae, 0x2d9d1079, 0x9952d95f, 0xc4fa00a2, 0x9d276101, 0x25209f98, 0x81b25028,
+    0x48399804, 0xbbf484fe, 0xb9afe3fa, 0x7e5b07bb, 0xa53e889c, 0xed228941, 0x13953448, 0x302a0a65,
+    0x6eed224f, 0x2baa4919, 0x19794668, 0x783afcfa, 0x0f99c110, 0x036bbd3c, 0xb2899dd8, 0x8efd1387,
+    0x507d01a3, 0xb18cbac0, 0xb498a07d, 0x0df8b001, 0x2b94f03a, 0x81d21fa7, 0x4a67ce80, 0x90409d06,
+    0x93b07176, 0x5fa3b776, 0xd659d4c9, 0xcd960aec, 0xc91349e7, 0x3f16448b, 0xe263adfe, 0x43088571,
+    0xd4fb0b89, 0x315c39d2, 0x91296cd0, 0x3c67e962, 0x6a1733e6, 0xfe448789, 0x9735c174, 0xcc2a96d9,
+    0x086d3b37, 0x5f1bc04c, 0x26d2ae2c, 0xb5e98e16, 0xf7b25de2, 0xbd2711b0, 0x053f237d, 0xb7194e07,
+    0xbaa7355f, 0x0bb6e067, 0x08fb7efa, 0xf20be8fc, 0x22dd6f0b, 0x6f9415b5, 0x65909a9f, 0xf27b99cf,
+    0x0311a902, 0xee97aae6, 0x4e4a829f, 0x6028105b, 0xa30921c5, 0xf69693d2, 0x1eb0a43f, 0xdbbae63e,
+    0x2d8c2e6e, 0x4ef71f59, 0x480eada7, 0x2021b3d6, 0xda6b12f4, 0xdfa74a36, 0x8485f55b, 0xd322d75b,
+    0x6946c9c2, 0x189eebe0, 0x7032d209, 0x7a2b0096, 0xc745d284, 0xf42a6a27, 0x8631638c, 0x8d037a91,
+    0x61bae016, 0x567c5f84, 0x75d69e7d, 0xa6d0ba66, 0x150674f8, 0x98be65c5, 0xc8fe3d12, 0xd62602b1,
+    0x5e159f81, 0x5019f1c3, 0x1b0e1169, 0x790b91ab, 0x95a84ae1, 0x808f198d, 0xd5080e62, 0x86bff042,
+    0x1ae3085a, 0x74faa8bc, 0xb650d263, 0x2eebc2d9, 0x36b62eac, 0x30f4848c, 0x957c1353, 0xbb084214,
+    0x90599a16, 0x11e26a4d, 0x17c76fe3, 0x44828d4f, 0x5ade7635, 0xeb214cc3, 0x0f7686b5, 0xd3fb104c,
+    0x71874b96, 0x93ff48b1, 0xe3e518e9, 0x7f20d90f, 0xb122efbf, 0x125696cf, 0xce1e8ba4, 0x75aa111f,
+    0x3e4690d2, 0x6375e635, 0x5a6f380b, 0xa60ab820, 0xf738a964, 0xb50d6850, 0x2d9f7681, 0x9699cb3a,
+    0x9eeea653, 0x68aea089, 0xf048f80e, 0x6eafb8b7, 0xf2ed460d, 0x2aa4ddf1, 0x7727de49, 0x8a7d4550,
+    0x433fff96, 0xea6c09d2, 0xea08750c, 0xe22fa475, 0x1a47fc86, 0x88b7eaaa, 0x00a7c871, 0x28736353,
+    0x751efc9e, 0x56390b68, 0xbc064dbf, 0x24a4db1d, 0xfdaadd4b, 0x9a582bf3, 0xdf67fa5a, 0xa026c81f,
+    0x88bd0bce, 0xd655d872, 0xa132d483, 0xce9623d5, 0x83ffbd80, 0xcf4ab195, 0x8a975367, 0xc1d1a135,
+    0x08ff7488, 0x7aa0b7ae, 0xede1ee07, 0x81495c0d, 0x33a201d7, 0x7ca552c3, 0xceab0956, 0x0229a70a,
+    0xd526ddd8, 0x11ee4efb, 0x484b1d7d, 0x91d5ab4b, 0x54df6868, 0xf7667f0b, 0x0eb7ede8, 0x86c84863,
+    0x645e984c, 0x1be5f5cc, 0xaf165f29, 0xdc9ad760, 0xae63de09, 0x88b39471, 0xef143cd5, 0xe034921b,
+    0xb1066ef3, 0x5bf45296, 0x8954e492, 0x22e5f3fe, 0xe35be08d, 0x1338ff87, 0xa667f8a5, 0x9706665b,
+    0x1bbe6f84, 0x99d5e2b2, 0x8d9752d3, 0x51c473d5, 0xb22cd728, 0x3cd9535d, 0xe04dd21b, 0xa35e00dd,
+    0xef3b8a7e, 0x3877959e, 0xa9e6ec51, 0xdca94304, 0x9ee5ba09, 0xff320cd2, 0xa48e1629, 0x9d6c2012,
+    0x89b7ebf2, 0xf8cc24d7, 0xbabcda03, 0xc815a739, 0xf6de12f1, 0xc00dd6cf, 0x606548a7, 0x8fbe8b3f,
+    0xc189e8bf, 0xdaaeb48d, 0xab50d409, 0x19b00cf8, 0xf79cb996, 0x63d92c98, 0x3fa23a08, 0x1dc219b4,
+    0xab7427bb, 0x9d5fd693, 0x89c9946d, 0xcbcaaa1a, 0x6abe1d0f, 0x6670bbf4, 0x506950aa, 0x266de04e,
+    0x6c4db27e, 0x4efc6db1, 0x0c90e129, 0xf7a25ef3, 0xf6f791ed, 0xa5653f26, 0x151982ce, 0xd034909f,
+    0x00000000,
+    0x6c55fe36, 0xafdb4cd9, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000093536104789177786765035829293842113257979682750464 */
+  { 0x00000000,
+    0x4bfa7e4d, 0x453e4055, 0x6a530bea, 0x82783d8c, 0x21b0c23d, 0x36f4fcec, 0x9a813391, 0xa538ab7e,
+    0xfb340598, 0x8e6e98dd, 0xd0a4c98e, 0xa78787a3, 0x106e8a85, 0xbc1f79ab, 0xe18095c3, 0xdb51a904,
+    0x91ce9edc, 0x54fb7e3a, 0x3331d375, 0x2762e6cc, 0xe4d0ba26, 0xc7f5ba80, 0xdb63528e, 0xdcfc4040,
+    0xd6371470, 0xada0e8c8, 0xf90e9bd5, 0xc4618d9f, 0x7d220a82, 0x85f7f385, 0xcdbbba0d, 0x4dacb5e7,
+    0x9e2f0464, 0x1daba44f, 0x1bad6f98, 0x8bc5b358, 0x7cb4dc7e, 0x7c816a3b, 0x2a94fece, 0x88abd208,
+    0xab4d4cea, 0xfb57fb62, 0x7819e4ee, 0xc94bd969, 0xf539a276, 0x5d3bafa0, 0x467e612f, 0xcde51bc2,
+    0x70129ac3, 0x02e5c965, 0x91675b11, 0x3e9957f1, 0x337051e6, 0x5c165641, 0xcdecf0eb, 0x81211f82,
+    0x276b4b78, 0xf230c0fb, 0x919874ee, 0x215fa3b4, 0xe483a82e, 0xdcd86d13, 0x2989a06b, 0xe026e688,
+    0x9cb8085a, 0x40566090, 0x4b62fe0a, 0xd80cff72, 0x35d5acdf, 0x879a70ca, 0xd7987c8a, 0x7d9c1638,
+    0x48803590, 0x1a121a3d, 0x773faa18, 0x998860c7, 0x23677bd3, 0xcc178b30, 0xc0acad37, 0x64d586f7,
+    0x3d23c0a2, 0xc79d2dee, 0x3909a53b, 0x303c2bda, 0x5cd9b1c5, 0xbccc62e6, 0x7d15f18a, 0xf3802a3b,
+    0x48ecbaf0, 0xe4e1f44d, 0xabf77f29, 0x2549b1b2, 0x40f7305d, 0x0f4d9964, 0xf37e7965, 0x2f6092e0,
+    0x413aade4, 0xe8676d30, 0x17c0839a, 0x2aae35ea, 0x3cd1fdcd, 0xa8095c81, 0x8353f928, 0x04750674,
+    0x131214f4, 0xd2d3d9b6, 0x85ad3c51, 0x957f2885, 0xd5543aaf, 0xce45e3b8, 0xd54d7a18, 0x1b89d63f,
+    0x413f32a8, 0xbd9c6912, 0xdf49ad48, 0xf54e718f, 0x9b77b67e, 0x84d53a1b, 0x41a24da3, 0xa11bd21f,
+    0x2fe59fc2, 0x25bd2744, 0x05b58e56, 0x40f7dee8, 0xd9a0edd8, 0x86cb6791, 0x9b8a6254, 0x9e1c9b83,
+    0x7d0d9d81, 0x7f6074b6, 0x62f0183f, 0x0e4a6aa1, 0xac4ebd2a, 0x4170e031, 0x01571c41, 0x8ce46e9d,
+    0xca891b9f, 0xb0fdb9b1, 0x7d6ee1e9, 0xd3d9e35c, 0x0418e503, 0x45bdf7d9, 0x3e278835, 0xb15fa1f3,
+    0x84ef4e72, 0x9e8cc1c6, 0x5a3685dc, 0xded0b3a7, 0x0870f918, 0x3ea56fe7, 0xd01a006d, 0x475db1d1,
+    0x022fbe45, 0x3a4bd3d0, 0x3c490208, 0xe033884d, 0xbff4e681, 0xdf4a2c65, 0x58291aab, 0xdde55321,
+    0xac5c979b, 0x315f2c6f, 0x5f50ecc6, 0xc471e253, 0xa08ba282, 0x7a94ef39, 0x24a8a798, 0x87d09855,
+    0x8c78cd76, 0x4cf0c07f, 0x9c7eeb27, 0x781e6882, 0x93b19d35, 0xef5fe29c, 0xb51f869a, 0x4905ff9b,
+    0xaaa34e59, 0xe76749ae, 0x754131eb, 0x3f0b2a3f, 0x020677c3, 0xe36e9f64, 0xa8bbbb50, 0x37d205fd,
+    0xf4775c09, 0x07044712, 0x167bb882, 0x252ca72c, 0x4fb76f42, 0x7a29b2bf, 0x6f368088, 0xacd8323b,
+    0xbc6bb9b2, 0xd9d0e868, 0xc99287db, 0xed78932d, 0x886adac7, 0xe7246e4e, 0x476e62f2, 0x67d87c23,
+    0xad683e99, 0xbc8f1883, 0x88fb8f78, 0x8d7084b8, 0xda58119a, 0xe7691619, 0x543e63d8, 0xbb761344,
+    0x1e0bd3d4, 0x408a6f92, 0x72fe4977, 0xa22c1af4, 0x9dd5880c, 0x93b6c7da, 0x818dd6ed, 0xca4f1210,
+    0x50cecf13, 0x1f4762c1, 0x6de1e64e, 0xe0bd52e1, 0x6dba2105, 0x65f6e163, 0x49e81b8a, 0x5373af7d,
+    0x1c1c53c6, 0x10eea679, 0x51773d3b, 0x9d31044c, 0x8bfc3dee, 0x1d3fab30, 0xa7ddfd17, 0xb4d8335f,
+    0x61c93428, 0x1ec45d0e, 0x75a89c66, 0x8134eef6, 0xe3406d25, 0xf747bb48, 0x2b5fd451, 0xd68d362d,
+    0x4e2f2239, 0xc241b42f, 0xbba19a98, 0xa3932e6c, 0x5935b1a6, 0x9d83eeca, 0xe00833fe, 0x77f180e9,
+    0x8f148d54, 0x7ccc8993, 0x93784f60, 0x2c2e4528, 0xd93fe31e, 0x812ff2b3, 0x1647de7c, 0x0fb66b77,
+    0x7315f7e9, 0x323c7761, 0x9801c2eb, 0xee6f4592, 0x6839228b, 0x93a03b15, 0xa119f17d, 0x4267301c,
+    0x4f3326f2, 0x2d2c1efd, 0x6cc194ab, 0xc5133d1c, 0xe06b7d54, 0x69e0cf31, 0x71ae2ffc, 0x462c0a27,
+    0x91f4dde3, 0x34a91950, 0xcdef5fc2, 0x30e483e6, 0xa04767d8, 0xd38f852b, 0xb9c8077f, 0x9896335c,
+    0x62b0aab1, 0x5930f5ad, 0x373ab7d3, 0x9903d279, 0x54cc472e, 0xd5f4cd53, 0x75da805d, 0x4e2cd9f5,
+    0x088424d7, 0x9fb7cf72, 0x013e40af, 0x86aa6c0a, 0x706078ce, 0x4dd45263, 0x45d05c5e, 0x431c7c3f,
+    0x176c7a9e, 0xb329caf6, 0xa9284262, 0x2591caf6, 0x9efe37c8, 0x9b7df011, 0x85f440c3, 0xd9591cb7,
+    0xf8b52838, 0x11d0c08a, 0x3079f37a, 0x1e087c19, 0xaa019cd1, 0x68a2388e, 0xaf883ed0, 0x7a144b8b,
+    0x8f1cf45b, 0x4e6f1f86, 0x115496a1, 0xe2a06c18, 0x6729512f, 0xf79d1d7a, 0x92cd4c77, 0x59a9bae5,
+    0xf0560fbc, 0xabd6c0f9, 0xac7f3c33, 0x3b78c7ba, 0x7f953372, 0xbae49962, 0x0c43f366, 0x1d3f735c,
+    0x3cd1b344, 0x5ebd0c85, 0x24646221, 0xa8d7eda9, 0x11963268, 0x72db8168, 0x0da6f7fc, 0x5f4f46d2,
+    0xd2a632e0, 0x5951d78f, 0x285ba417, 0xb30486f9, 0x69479309, 0xd3170ab2, 0xe24fec8e, 0xff24f870,
+    0x3ae7a69d, 0xf539a816, 0xae0dc54e, 0x77ff7736, 0xd935f8e3, 0x75631f82, 0xb2cfafb6, 0x0396798d,
+    0x810c044d, 0xff4fb94f, 0x1018db2c, 0x8550a1c4, 0x29aaf822, 0xc73bbc85, 0x219c85bb, 0x9b18dd75,
+    0x4af9d8da, 0x01a19636, 0xd4097b3a, 0x1a0cd0f9, 0x8eef29dd, 0xd58d08d9, 0xef1e429b, 0x0c40ab59,
+    0xf8ff79c4, 0x8c926fca, 0xad911c9d, 0x90e2de75, 0x95cb5816, 0x096bfe06, 0x7d988f40, 0x62940b4d,
+    0x7efabd8e, 0x4ca96eba, 0x230a7a6b, 0x7b2eaac5, 0x12d8e9cb, 0xc25e5309, 0x831863c9, 0x7ad01ae1,
+    0x6ee0cb4a, 0x0da5150e, 0x4550bf9f, 0xe14db48c, 0xd6e9361a, 0x355da3df, 0x3b117de3, 0x27e76248,
+    0x13fb0660, 0x875484cc, 0xaf8f9014, 0x98a0a92b, 0x544ead1f, 0x39204c49, 0x315fe36e, 0xc1ab1969,
+    0xaca17dd5, 0xdcf481da, 0x4d735f33, 0x220066b2, 0x9bf87735, 0xf95a7bd6, 0xfee1c447, 0x171817e7,
+    0xc9f84a7e, 0x83cdaa68, 0x8a97b1e0, 0x2c57ba7c, 0x44e997bf, 0xfd923e05, 0xbeb0bffa, 0xf0aec7bf,
+    0x4d734cf2, 0xad0fc7e3, 0x67bf3945, 0x2cef999b, 0x91e92716, 0x49e8e537, 0xe57f593d, 0x27540b32,
+    0x57746d11, 0xf6795fdc, 0x07d28e81, 0x556e840c, 0xc3ec1b31, 0x8b5379a5, 0x2c27c6e4, 0x73501e31,
+    0xd26fd8e9, 0xec2f1f1c, 0xc4771da4, 0xa81d4317, 0x70bd5a64, 0x4a5c083b, 0xab6614f5, 0xea71f909,
+    0x835e98ee, 0x4272cc91, 0xd0bb63bf, 0xbdeb83d5, 0xd8a534c2, 0x776afbb8, 0x705c2d73, 0x2ba18356,
+    0x6fa1229a, 0x58267d0c, 0x7373132d, 0x4b245609, 0x705ffa47, 0xfdd77336, 0x9f4c2bb6, 0x35322a04,
+    0x9dec892a, 0x20688c95, 0x25ad6573, 0x5f779469, 0x8d86ec91, 0x09687f9c, 0x0330becf, 0xc9eef5c7,
+    0x937d758c, 0x2b7c21d2, 0x0e97b1f8, 0x06db8dd5, 0x301b9f88, 0x312551a5, 0x38db9cbb, 0x6afd0b79,
+    0x3c0fcdd9, 0xf802f071, 0x7048477b, 0x91b70aab, 0x17efdf11, 0xf15bcf2b, 0x88e692e2, 0xed0db81e,
+    0x0783235d, 0x5829051a, 0x25a8b1ea, 0xaa6cedfd, 0x332b197d, 0x690714db, 0x49d4b8fa, 0xef6a777c,
+    0x5b1981b6, 0x1e9db9c0, 0x59d8051e, 0x91e86118, 0xe3f4bfa8, 0xc5990119, 0xc607a6fa, 0xd78e2be2,
+    0xffb0f788, 0xc82dc257, 0xc0497419, 0xe178107e, 0x70b42f51, 0xcf22d432, 0x30f3667a, 0xd2f5ca1c,
+    0xbb1942f9, 0x5e894fcc, 0xfb08d0eb, 0xbd892bc9, 0xfc7e0559, 0x913b9f85, 0xf0770e44, 0x7b79ada2,
+    0x802f35e0, 0x1fef0fe4, 0x80b44e01, 0x96de9542, 0x5a249849, 0x4d81e950, 0x3f08061c, 0xb29cfdce,
+    0x25fdd72b, 0xa1c26174, 0x85bd248f, 0x06e3816b, 0x11d18858, 0x7ddc071a, 0x04ba2683, 0x4055446c,
+    0xad47c80e, 0xf970270c, 0xbf5be1d1, 0x8813b191, 0x4d90eff5, 0xeb8e79a4, 0x7218a931, 0x10beb201,
+    0x3c612ed1, 0x7edb626f, 0x362292fc, 0x233655a0, 0xc5fcdec4, 0xac985831, 0x37e91afb, 0xefa4fb15,
+    0x4a2aad9a, 0xcb70e1f8, 0x6474da2c, 0xf2791a79, 0x66af70eb, 0xc7d94d90, 0xea9c0a53, 0xb01aa334,
+    0xa97ab337, 0xfd05c33f, 0x2379961c, 0xdc0c2300, 0x83cfa778, 0x912538e5, 0xecd4e28c, 0x33351ba2,
+    0x564228e9, 0x85b224b7, 0x11b9b4cf, 0xb0536f01, 0x2e04ad89, 0x0db9d530, 0xc2d56c8f, 0x33ca6b14,
+    0x5a2f6637, 0x385668e2, 0x0b220541, 0x8a7c9596, 0x74df5371, 0x3460bb9f, 0x88c3080f, 0xb5380f5c,
+    0x3591271b, 0x6c729c6f, 0x4eeb5623, 0xf806e01d, 0xef0fbf2a, 0x2d6a69c6, 0x73f6b04e, 0x1708f24a,
+    0x15581e85, 0x4ddc1c09, 0x0eb86b0f, 0x0745728e, 0x70e59a02, 0xd6443beb, 0xcbc9ee39, 0xd9ee112e,
+    0xf92c67f2, 0xf9a73524, 0xb2a1530f, 0x29a49447, 0x88b85c11, 0x04bd1171, 0x504bb2d4, 0xf358d541,
+    0xd231aadb, 0xa607e535, 0x1be87090, 0x43bb73fd, 0x5f82e683, 0x0c5f4d9e, 0x1c25493e, 0xd4c067e0,
+    0xe89f38bf, 0x6a57c392, 0x05e884fb, 0x8e51c95d, 0x9dc8c1db, 0xa8883cf0, 0xe735c424, 0x403ebc28,
+    0x7a038afb, 0x75d0c058, 0x69832d02, 0xca7d0cd4, 0x1fe2efaf, 0x2156cfa3, 0x2c76d32f, 0x703a43c6,
+    0x2fb6724b, 0x1bbb4b2b, 0x57b765ab, 0x677ac404, 0x29d083dc, 0x8d2f09ec, 0xebbfa04e, 0x79115a6b,
+    0x24da363a, 0x38e4eeb9, 0xb0eceffa, 0x32ddc116, 0xb56ba149, 0xfbe95577, 0x914f7710, 0x4af53e90,
+    0xeb9247a4, 0x3bb65d9b, 0x81d32f50, 0x1598a7eb, 0xca54ce4b, 0xe6b88b21, 0x48aeb588, 0x6338718d,
+    0xbf5f43a5, 0xcd370cf6, 0xb666bd4b, 0xe4763c1c, 0x99d72d4c, 0xb1b27078, 0x7ef55735, 0xe1d48713,
+    0x4069624e, 0xb5b367cf, 0x35f728ec, 0x47f3f887, 0x30c8f672, 0x668e2e00, 0xf3747b73, 0xdf55e6bb,
+    0x01ead43b, 0x5ef898a4, 0x293e4fc2, 0x61f9b7c0, 0xa6dc38f3, 0x60175251, 0xad30ca14, 0xe9e9fbf6,
+    0x85b805eb, 0x76829eae, 0x767411c5, 0xd15d265a, 0x486af5f0, 0x38014215, 0x60ea1303, 0x7a3c7d5b,
+    0x0295389e, 0xc9bc43f1, 0x39d68e9a, 0xd99184ec, 0x7a50b547, 0x49e72daf, 0xda8784c6, 0x4b4401f7,
+    0x2a6d09c1, 0x8dcfb30b, 0x045b56c3, 0x775155c4, 0x75bf0c26, 0x2d8ef0e5, 0xa5a353ba, 0x58a64a24,
+    0x37505190, 0x77745052, 0x38538122, 0xfca6b1b6, 0x6c8d5137, 0xe5bed431, 0x34a91488, 0x35022fe0,
+    0x7da51f0f, 0xd6908539, 0x50f0ed83, 0x8ba60c28, 0xffab6532, 0xc03cb669, 0x5c1ad9e7, 0x67f203fe,
+    0x97495baf, 0xe84c31e8, 0xb422d2cd, 0x7f7a1d9e, 0x520525c4, 0x4ca698d0, 0x086ffea1, 0x96f31048,
+    0xe9cd4918, 0xd6c0948b, 0x18d6ccee, 0xedfa8e74, 0xfea13e24, 0x57694426, 0x3053283c, 0x98486b67,
+    0x023ab03d, 0x655d84a7, 0x60330ed0, 0x974ba715, 0x06f97a7b, 0x76456b67, 0x473918d4, 0x2028b347,
+    0x9f196ba9, 0x5db54ae3, 0x72716feb, 0x30c6561a, 0x66fcf431, 0xf3ca5027, 0x793f856c, 0xbd819edf,
+    0x66df753d, 0x5192609b, 0x834d15dc, 0x8e73fb70, 0x34e9b0a9, 0xb9fe8920, 0xb5ca2424, 0xb5ebbda6,
+    0xd84fe7ea, 0x2e154f3c, 0x3ae67fff, 0xba915c3b, 0xd074c495, 0xaf162ade, 0xc043a9ab, 0x8f95c864,
+    0x9f2f9350, 0xc371d678, 0xb991940b, 0x72350b84, 0xcd0fa4c0, 0x1590ee1c, 0xe19ba252, 0xdc83519d,
+    0xc79dda40, 0x9f490e77, 0x79d14277, 0x2ef2d7ec, 0xa789cafc, 0x3c1c4882, 0xac0a90fc, 0x93f46990,
+    0x9a202549, 0x1d21edf2, 0x79a73e3d, 0xe12665b4, 0xbdeba555, 0x4c4d494c, 0xab7ddc6a, 0xee161529,
+    0x7d76cbba, 0xee3857cd, 0x828de5d4, 0x9ba874ae, 0xe3103b64, 0x3d141f43, 0x3165a724, 0x723ed239,
+    0x2fc29f98, 0xc44176f3, 0x7f8ff630, 0x534628c0, 0x7f62964e, 0xad6b30e7, 0x3f936969, 0xc35ce5a1,
+    0xd4847d64, 0x0ccf8a89, 0x031a737d, 0x6735baa4, 0x563c1801, 0xbe08ae6c, 0x89a5dfe9, 0x23374214,
+    0x29d26e43, 0x7fc1217c, 0x5e147f46, 0x689a27a1, 0xfa7beb39, 0xeaa7b75e, 0x920d98ba, 0x7df76bdf,
+    0x8d136b98, 0xf06314c4, 0x92833f9b, 0x02eba936, 0x69c56b26, 0xa3047c00, 0xa939c185, 0x26f9be77,
+    0xd8112ade, 0x0325cde0, 0x7b1e6b99, 0x320d9cc4, 0x18215f6b, 0xd1d5430b, 0x2bf5b605, 0xa2415bf9,
+    0xacbd8bef, 0x2aae53bb, 0xf8dd9b1d, 0x59e3b936, 0x267e2806, 0xd7516331, 0x48100f85, 0xa374c9b6,
+    0xaf500908, 0x9852c81d, 0x8319adc8, 0x6a858957, 0xc31b7223, 0xdb828509, 0xd9319c86, 0x0a8d6993,
+    0xfdf3cf14, 0xaa454f0c, 0x8b3a9814, 0x18da65ad, 0xa0ef6ad4, 0x2f7b0100, 0x815f6c6f, 0x49963641,
+    0xbd648d47, 0xeb63916a, 0x72a26233, 0x84ceb0fb, 0x730c4a89, 0x5c313dc4, 0x3bc7b73a, 0x6cd075a8,
+    0xd392c95a, 0xd14ae573, 0x389f993a, 0x66017f15, 0x05c68624, 0xb092baa5, 0x99d643f8, 0xf6f89dc0,
+    0x75a39bb2, 0xa4b74a13, 0xa96da241, 0xb03912c4, 0x87a83cb9, 0x254ba3f3, 0x1e02c005, 0xcdef6242,
+    0x0f4bef27, 0x46ba4531, 0x0f035ac1, 0xa30f5d85, 0xc3d843a3, 0x95f8b123, 0x52266687, 0x24ac012b,
+    0xaca985ce, 0xca2a557d, 0x5671eaf6, 0xf5ef41f8, 0x7fd229e1, 0x0a3c5580, 0x95037f36, 0x86e4a62e,
+    0xd4877b66, 0x0c28d627, 0xb0cacde8, 0x84e0ecd1, 0xc686d089, 0x753b07a1, 0x70bb6ec3, 0xdebceab9,
+    0xae127d66, 0x8ff3edd2, 0x1b4dc935, 0xef6423c8, 0xa5c03d1d, 0xe5d1cd00, 0xc0a817c2, 0xbeb6c9ac,
+    0x6d3e3b42, 0x251bb457, 0x3b810d53, 0xe02a0ff8, 0xca1787db, 0x30f39e18, 0xf6eb9da8, 0x2889b23b,
+    0x85a36ecf, 0x83546fed, 0xfeb9ae44, 0x78a65121, 0xbef479b0, 0x4ce4a0c9, 0x6f738cc4, 0x2a11944a,
+    0xd282adef, 0xb171c570, 0xff138082, 0x03ac0615, 0x0c1ff069, 0xfeb704c3, 0x96082eef, 0xf80522af,
+    0x356291d0, 0xb2a7ee58, 0x45fcaa96, 0x9ed1c5b0, 0xc055e0e7, 0x4db6896d, 0xa7509022, 0x6c4087ab,
+    0x791b2050, 0x67f6a371, 0x684d4925, 0xcefb76d9, 0x5aae7731, 0x7e38e7e1, 0xafebba4f, 0x829c7c7f,
+    0xc386921a, 0x2d2e9e71, 0xaee01d85, 0xe44865e1, 0x975b6eeb, 0xa458b6ef, 0x647500b2, 0xcc6a82ce,
+    0xe496f457, 0x336d7d09, 0x2989b4a3, 0x628dbef9, 0x1b3be7f5, 0x9bb66582, 0x4d51157f, 0x21a1d67c,
+    0xc4c558d3, 0xc106128b, 0x28a64120, 0xb38b6ab9, 0xd6d718a4, 0xbb011c8c, 0xbcdc474f, 0x86d7b430,
+    0x0e00859f, 0x7269813d, 0xe23fb6af, 0xefbd1b5b, 0x98434e66, 0xa34c6b0c, 0x2e442f5e, 0x25883390,
+    0x78f06981, 0xec419e5d, 0xf9a7fba6, 0xc470f833, 0x88432b81, 0x6c37d12b, 0x48a82827, 0x02a25756,
+    0x4ab24a55, 0xdd2a808e, 0xd49e78a3, 0xc4336e30, 0xcb211aff, 0x76cbac96, 0x428b8ca1, 0x8252f431,
+    0xc82670e7, 0x23f056fa, 0x3118db98, 0xb583808b, 0xe18d7638, 0x54566e97, 0xa90b3d12, 0xe6de80af,
+    0x00000000,
+    0xb62aff1a, 0xd7eda66c, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000046768052394588893382517914646921056628989841375232 */
+  { 0x00000000,
+    0x2e5393c7, 0x5b26fde4, 0x3c573980, 0x896f94db, 0xd52b2dc3, 0x8bd014f4, 0x206c50d6, 0xd0c73428,
+    0x0c800052, 0xb8a442b7, 0x38ca06ec, 0x7e71b094, 0x3c284e18, 0x5df0940c, 0x2e084e0a, 0x6d91d3ce,
+    0x0911fee7, 0xeb39f381, 0xa5c1fe34, 0xb9c4f33e, 0xab39bf1a, 0xfb2e4b5e, 0x3ab4f000, 0x07dbd10f,
+    0xccfa2832, 0x747fe387, 0xc1a3908a, 0x718203f2, 0x3834ec2b, 0xfc524d2d, 0xffbf8dae, 0xa17a244d,
+    0x158d7eff, 0x272856c6, 0xa95b6dbe, 0x0e72c470, 0x8cfda5ed, 0x88f27820, 0x9efcebc5, 0xcbe52e1b,
+    0xacf0c53e, 0x81bddf75, 0xecdac077, 0x62dea98f, 0x57d01f66, 0x734b9f2c, 0xcaaf0592, 0x0193e5fa,
+    0x8984deae, 0xbe0e0b1f, 0x3a4ce99a, 0x16ad6bf4, 0xe756f0b2, 0xf0628eb5, 0x5b9c3033, 0xa23d1411,
+    0x0aac746a, 0x03ce0583, 0xa8897d35, 0x0ed79bd8, 0xa74b3f62, 0x91ef5f72, 0x01fc464a, 0x5c402003,
+    0x1dcc9f25, 0x3dac4fdc, 0x79c67296, 0x8d20efa8, 0x1fe354f2, 0x38433edc, 0xc0526de7, 0xc817cbc7,
+    0xac00344a, 0x26e7c2a3, 0xb2ed1233, 0x3f49f554, 0xa2b02f79, 0x8bb69b1a, 0xb25eef13, 0xa74d698e,
+    0x02889af2, 0x3683bc4f, 0x14605f00, 0x8ce7c45a, 0xe779ca4f, 0x92a1cb73, 0x0507f1fa, 0x61a48816,
+    0x56f73f2e, 0x1b99ee55, 0xf72661c4, 0x97a722bd, 0xe682439b, 0xc95f398c, 0xbb398543, 0xcbf97e5b,
+    0x820dff07, 0xb9c97a3f, 0x2a7b52e0, 0x1c1a0b5d, 0xef9945dc, 0x1db4ed23, 0xfa3b1ee1, 0x235b9f99,
+    0xb398e22d, 0xb5c7c3f5, 0x081afd1b, 0x5ef2d5b5, 0xa16d71c3, 0x2482defb, 0xe41990de, 0x63081c2d,
+    0x801e3f55, 0xcff3414a, 0x00e8bc89, 0x8f572cf9, 0xfca181e0, 0x990a58a8, 0x9a46f73a, 0xda7677c0,
+    0x045df94b, 0x3f9af23e, 0xeeaec398, 0xf56b3905, 0x49a7cc74, 0xc0c226f9, 0x3ff2f239, 0x2a283d03,
+    0xa4f47872, 0x27cbac1c, 0xf6b3e2c1, 0xcb9b4315, 0x2fa82c5b, 0x537d31af, 0xe82115b1, 0xfc555dd1,
+    0x7a66ba52, 0xfa3aca9b, 0x8c560bb6, 0x10bac50d, 0xaa1e322e, 0x194180b6, 0xa879ea21, 0x774611c0,
+    0x7b91a2e5, 0x4b0393a4, 0x4d02a0cb, 0x7d08e828, 0x013595e4, 0x426e0c01, 0x3863d3af, 0xf69871ef,
+    0x507ca5d7, 0x4b8b00e0, 0x4c9aa100, 0x0755f485, 0x4fbd001d, 0xd8594824, 0x858a9b08, 0x8715244d,
+    0xca86637b, 0xaa98fa17, 0x88398563, 0x50bee2ef, 0xa3ce7f53, 0x89bcfb10, 0xf39c83b3, 0x773749c5,
+    0x6456cb00, 0x7080ad42, 0x16a47f6e, 0x5df91ceb, 0xf8d76a30, 0x4c8d4524, 0x25e50e46, 0x1cd55466,
+    0x919ec0b5, 0x0ef49606, 0x3de8daba, 0x065d28cb, 0x7474a0ea, 0x5ef0227d, 0x7ce48d44, 0xbb2f85d1,
+    0xa3315ef3, 0x76e9ab07, 0xaa96d6a7, 0xde0cc7c7, 0x0f38ed0e, 0x1774876c, 0x558d63a0, 0x87d6dab9,
+    0x1a45c584, 0xfb39a976, 0xe82fb8c4, 0xf890de7b, 0x56f6a323, 0xbace86cb, 0x29c9a46c, 0x35a1a13e,
+    0xb82112f8, 0xb7d41144, 0x4b5bebb5, 0x45e2e132, 0x4b4aaf2e, 0xe9c50302, 0xce244d51, 0x34ae1064,
+    0x2a0b1f77, 0xdd8147ff, 0xfc727330, 0x17d8a52a, 0x41299af9, 0x263e980b, 0xdfe0c25d, 0x8eacaa52,
+    0xe60ac105, 0xf04bb257, 0x33468e7b, 0xea53cbd6, 0xb3c26d2d, 0xc097eb6f, 0x14340952, 0x0460e62c,
+    0x81fa0c4f, 0x10685c5e, 0x390a5a42, 0x2607ecf0, 0xcee61d9f, 0x10e194bd, 0x0ff320a0, 0xb5432387,
+    0xac48e23d, 0xb66f49b6, 0x4311908b, 0x816c9963, 0xfcc8140a, 0x1afe36df, 0x736326a5, 0x4936da74,
+    0x7cc5d321, 0x3371a486, 0xb7436560, 0x98baa36c, 0x6ede2ede, 0xfc06f2e4, 0xc8de0f4e, 0xa8d7df00,
+    0x686d9a08, 0x5d449492, 0x1037148a, 0x408743f6, 0x58badceb, 0xfd9dfc18, 0x85608ef3, 0xaab02850,
+    0xdb53840f, 0xf6a42c7a, 0x25253e3e, 0xd504d763, 0x0f7b9dfb, 0x7e8cb98c, 0x1a8d4b42, 0x1f9a9461,
+    0xa49fb371, 0x881c460b, 0x33a6f1b4, 0xb13d9b5f, 0x65b200e0, 0x91801732, 0x13c7805b, 0xe61ef62d,
+    0xab76a6f9, 0xa6c606d6, 0x28569c8f, 0x6efe9090, 0x77fd88b6, 0x4ca88c0c, 0x1e1a04fe, 0xc17c21c8,
+    0xec165437, 0xf487fd1d, 0xde147981, 0x0753b5ca, 0xaf9bb96d, 0x0c459710, 0x3b5a9920, 0x8cc7b10f,
+    0x363a910d, 0xaef7f47d, 0xa6e0bdae, 0xea670cc8, 0xe228e93a, 0xab0f1403, 0xf6f26fc9, 0x3c2e74e2,
+    0x49b04338, 0x1dc8c9bf, 0x565108fb, 0xa4958c27, 0xe2f9ad98, 0x01330260, 0x842732ab, 0xc6d74c7a,
+    0xf99b8f2a, 0x6ab27fcb, 0x6ee4cb01, 0x32c39d50, 0xedb2f26b, 0xfa35523d, 0xb2af092b, 0x1aa243f0,
+    0xd2e2dc47, 0x15637b4e, 0x38923526, 0x447762bb, 0xb99c43c0, 0x958a3901, 0x105e500c, 0x88fb3b27,
+    0x793357af, 0xba8e0247, 0x4a12ba13, 0xbe12a0c1, 0x00105349, 0x6db8f6fb, 0xb266c5c6, 0x416d128a,
+    0x74f2a391, 0x952a588c, 0x917109a0, 0x4d12ed60, 0x60b6e056, 0x186f2610, 0xf1ada1f7, 0x3d8807fa,
+    0x789a9f05, 0x9b19f4f3, 0xba450b38, 0x04cbc50a, 0x77358e79, 0x07234bcb, 0xb0bc4a26, 0x78e112ca,
+    0x875ca0c5, 0x16002938, 0xbc23189a, 0xb3320cf4, 0xd6efe561, 0x3ea91580, 0xd623e87e, 0x70bb8611,
+    0xa753b42c, 0x8c5dfe9d, 0x5cbf391e, 0xbf7d0f97, 0xc67158ed, 0x261c519b, 0x4bf04f99, 0xfd606bf3,
+    0xe6c84733, 0x18597ef1, 0xdf346d18, 0xee621b03, 0xd0ea659f, 0x627d1180, 0x663363f4, 0x4c13d4c8,
+    0xcef8d814, 0xdc66bd18, 0x175b6de2, 0xfa308093, 0xc2e49d09, 0xe74f18d6, 0xb3546bb8, 0x1c9f739a,
+    0xf4d249a1, 0x9e9c56f8, 0x29c867f9, 0xf5a3bafc, 0x54951655, 0xe3bafda0, 0x77468a93, 0xb7a564ba,
+    0x2a0e42d9, 0x14f718d5, 0xc87999a5, 0x6b6bfb3a, 0x5dd07f57, 0xb5be5385, 0x205d4b97, 0xf55fed26,
+    0xa92141db, 0xa28d6594, 0x8bf9ebba, 0x934bfc81, 0x009b9c01, 0x3e2e3c76, 0x8abd507e, 0x7792840e,
+    0x302b3030, 0x7a9690c8, 0x374dc511, 0xb8d024dc, 0xd46fa5fe, 0xca45b6a1, 0x9fbdc22a, 0xee2af695,
+    0x44dbadd9, 0xe5fe062c, 0xfe1da7b2, 0xf3467af0, 0x07ba9364, 0x19c1de95, 0x0549955e, 0x96eb18b2,
+    0xbba2c790, 0xb492af36, 0xe8f8a437, 0xedb69fcf, 0xa27b35f7, 0x1ee038b6, 0xf91e784a, 0x524bc0f2,
+    0x300bf87a, 0xedf6a773, 0x07a26c39, 0x6851f1c5, 0x44c362ae, 0xa3c6ff24, 0xbdf89761, 0x89b45fa0,
+    0xd3a1e29e, 0xe86b986c, 0xd4d4b52f, 0xfd1dd2ba, 0xa808a5a5, 0xc3b67267, 0xee19e1b5, 0xc5ddc8fe,
+    0x5fd82d0f, 0x7742a7df, 0x3cda951a, 0x1a277c24, 0x5fec73e6, 0xb2a0b474, 0x70d2a256, 0x92b27226,
+    0xa75baa9d, 0x75fcd622, 0xddeb5f8b, 0xda4eb694, 0xa9919f8c, 0x1d45f3f7, 0x460d3321, 0xf347b8a2,
+    0x6eada10b, 0x2573343d, 0x753180f6, 0x1ea1d0c4, 0x17143ed7, 0x97f72397, 0xb84a5a10, 0xcac7c77e,
+    0xc7fc0b14, 0x0ff8b262, 0xba2262b3, 0xe1e23a1b, 0x162c410c, 0x340fc04a, 0x9994776e, 0xd0369959,
+    0x930d1e6f, 0x0791e8d6, 0xa24f33c6, 0x2ba38fd1, 0x30844816, 0x0e439153, 0x810fae07, 0x727a77c5,
+    0x5d6f31c8, 0x8f326078, 0x8cf9aba9, 0x60df1b4d, 0x83d00e07, 0xb486e4c8, 0x8e9c84e3, 0x3d2e9665,
+    0x71292832, 0x4ac48e0c, 0xebdc2cbe, 0xb7bc08ac, 0xe30e58c0, 0xda1b9c3b, 0x4de82fed, 0xcbdf4773,
+    0xc0822d88, 0x4463ece6, 0x5af15a77, 0x7b629401, 0x0e8899dc, 0xdee7736d, 0xd2add348, 0x9d89b88d,
+    0xde20804d, 0xc89de628, 0x6eb09ff6, 0x9da4f24a, 0x1f7e7928, 0xa08a2cc0, 0x3dd00125, 0x33695319,
+    0x6ce2e0e1, 0xf615ab88, 0x55e66d7a, 0x11173188, 0x3d3984d3, 0x896cc775, 0xf4bd16e9, 0x21daf6f4,
+    0x335fd1a9, 0x86f184a5, 0x604126e3, 0xe3f68808, 0x052df7f1, 0x09c6bb05, 0xd3e19ecb, 0x84ea1617,
+    0x2517b7a5, 0xfcd39d61, 0x9585a4fb, 0x3da6bf31, 0xaecfce49, 0xdcd489c6, 0x0f9dcdb9, 0x97c02533,
+    0xdad7335e, 0xc4b73b09, 0xa0e22805, 0xe91827d2, 0xb156e0dc, 0x0925f32e, 0xcfd4f458, 0x1ffa7970,
+    0x0b9c41f4, 0x8a8a3334, 0xd786f9bb, 0xeef20f3f, 0x167b2f2a, 0xd5d75139, 0xb2511203, 0xc04819b8,
+    0xbe0df365, 0x50385d98, 0x22d461b1, 0x9c502ce0, 0xa5d5c480, 0xac21f3dd, 0xbd74c09f, 0x4b3ff0cf,
+    0x81cfe417, 0xd83cd930, 0x7150d87e, 0x8fc7a9d9, 0xb5747ac3, 0x19a3e4d5, 0xee8525c2, 0xd1032be8,
+    0x35fc0b2c, 0x8ec95cad, 0x651a06dc, 0xd214708f, 0x31129721, 0xbc60d2df, 0x0a10ca8b, 0x24323c46,
+    0xb970dfe0, 0x61882b33, 0xdd1ee670, 0xacf4e6ea, 0x3ee6fdc6, 0x83ea3f0a, 0x3c4eeb8f, 0xdb544eff,
+    0x306f75d2, 0x57a4ecc3, 0xfd0aa1cd, 0x83da2a4a, 0xa028b094, 0xca93ee25, 0x99917652, 0x25f7ad59,
+    0x66d8b72b, 0x64d03636, 0x640e8c7f, 0x4afd5a29, 0x06d45124, 0x44661dea, 0x3e6d24a5, 0x10c4258a,
+    0x243be79a, 0x8d41c9a4, 0xc57d9c34, 0xae863279, 0xae44e7c0, 0xe38bac44, 0x77edad89, 0xb4e895dc,
+    0xde4c1c40, 0x7e85a818, 0x7d59e459, 0x8524ef8e, 0x0f321bb0, 0xbfac135a, 0xb4135c91, 0xbf14f7c8,
+    0x671ce92a, 0xf75b651a, 0x52b95592, 0x9f2856cc, 0x1abd2146, 0x51478635, 0x7aa1e4ba, 0x6641b27c,
+    0x5c0ff965, 0x6aeb665d, 0xf3b25465, 0x67510ba2, 0x5b6265d5, 0x85de2281, 0xec92c225, 0xec1c4857,
+    0x147ea1b5, 0x712586bd, 0x6d962155, 0xd6a3def4, 0x6ef600b4, 0x2c4f9b3f, 0x4ad557b6, 0x7f1d3ec9,
+    0xc7a5ff47, 0x2d1d8e6f, 0xa6459165, 0x9ea69832, 0x7cfbb841, 0x43a10d6f, 0x515b743b, 0x6607d308,
+    0xd6bb0655, 0xab90ba61, 0x71d2d51d, 0x54ac80be, 0x9d357418, 0xac3a830f, 0x654b53dc, 0x32adccf5,
+    0xaf9700f7, 0x90c0926b, 0x4f7bd18b, 0x85fb75a3, 0x05ea3b2e, 0xafab3143, 0x96ce9682, 0xc00862ee,
+    0x38af2753, 0x37aadb55, 0xd445d3e4, 0x5fa26b30, 0x98397c97, 0x8e19ae27, 0x8fb4fdeb, 0xad2e203a,
+    0x11d5e570, 0x17ec93d2, 0x45f7a10a, 0xeb9c0d50, 0xe580267d, 0xa96a767e, 0xb06c8284, 0xc2676fcd,
+    0xb880b92a, 0x0d3f9fdd, 0xfd768a1b, 0xe7a3c9dd, 0xfa3ba91a, 0xb5a63e09, 0xb26c2312, 0xf8f092da,
+    0xc23e2269, 0xb41bbad8, 0x98d200da, 0x5138456c, 0x6903f290, 0x04f2879c, 0xdf8ec495, 0x50b93e7e,
+    0xe5cb5285, 0x42983d34, 0x845a15b2, 0x99fa88f9, 0x72d20665, 0x47523f85, 0x237e441b, 0x4264cb73,
+    0x8ad7a109, 0x624a40b8, 0x9b319988, 0xf3e6bb1d, 0xbd98ec61, 0xcd1308d1, 0xd04332fa, 0xe50ee76a,
+    0x9b10912c, 0xe6b0d8c7, 0xa49759ec, 0x2685b667, 0x87214dfa, 0x88bee4a1, 0xd90fe6e5, 0xdd73107b,
+    0x1431b5c8, 0xa0c0c546, 0x690fe47e, 0xb66fef72, 0xede80088, 0x6098c218, 0xf459794a, 0x4f0d6611,
+    0x9f97476b, 0x322a1c43, 0x83fcb365, 0x1e3b4cee, 0x85391084, 0x7a233ce3, 0x84cc6131, 0x4ac53e6e,
+    0x9d9fa624, 0xfaa70c34, 0xf40b5f7e, 0x823be944, 0xb5a94345, 0x8b1fbfe7, 0xb2923a42, 0xdd615d65,
+    0x96803749, 0xb841db27, 0x0f10fc09, 0x74c0ba98, 0x69fc0d88, 0x95222611, 0x836806a3, 0x50a0284d,
+    0x0c488e42, 0xe6311e2c, 0x723296b3, 0x6018c910, 0x4bd1fcf2, 0x7871e9a8, 0xf687a1cf, 0x088640e4,
+    0x53d5c39b, 0x81497c39, 0x346e6ba5, 0xc888cf11, 0x98ccbb34, 0xa0bc774d, 0x5aa811d5, 0x463db519,
+    0xec220feb, 0x990b0ac9, 0x8291f2c7, 0x8f86d7c2, 0xcaea1e76, 0xbd328a3d, 0x8ad9b2a3, 0xd0fbf369,
+    0x925a4f7a, 0x33100fea, 0xf308f6f3, 0xa2eae114, 0x13c2fc62, 0xe0c9005a, 0x3ecd6d5e, 0x0fb147a0,
+    0xf74ac8d6, 0x512c9d62, 0x9656976a, 0xd2e02ce3, 0x96cab1d7, 0x3eddf029, 0x305ec3d9, 0x2cdfbf79,
+    0x1ce2d706, 0xf675a0cf, 0x0825daf8, 0x649c1cf9, 0x1b7b1377, 0x710b94f4, 0x21b715ed, 0x76624f28,
+    0xdd58414d, 0x86e9ab01, 0xf5c5f8ef, 0x31ef3ea1, 0x582088ff, 0x519cda59, 0xa378a075, 0x1c19a64a,
+    0xd3eb6d5f, 0x48709d55, 0x698bbbe0, 0x7b83f2c8, 0x635d1b37, 0xd84f3fc4, 0x874b8138, 0x2c629b93,
+    0xb5b83fca, 0xa854ebd4, 0x2cec4bdb, 0x02b1c68e, 0xeda363af, 0x88ef1cfa, 0x5e205723, 0x4bbba661,
+    0xc6ee01e2, 0xb462319c, 0xfe5c1b24, 0xe4e9d587, 0xde1f5818, 0xef79cbf8, 0x1d1165fc, 0x19de668f,
+    0x0f40f9f8, 0x505bc41f, 0x9f8f1d52, 0xf33b38e6, 0x66997925, 0xcb47c399, 0xd6a0c4a3, 0xe61822e4,
+    0xabefd351, 0xf3e36a52, 0xad465939, 0x0913d5a7, 0x10c97a0d, 0xea2050de, 0xe3849116, 0x67d226ff,
+    0x054eb46f, 0xd10acf38, 0x2cf9b64c, 0x5008da01, 0x7e29dc60, 0x56355015, 0x1ec69351, 0x5206178b,
+    0x2007c99f, 0x990d3673, 0x30877c5e, 0x6b7ea190, 0x2bc4d6f9, 0x65747685, 0xa23c941c, 0x7c74527c,
+    0x406d920d, 0x1675e321, 0x0a07f024, 0xa2ed673d, 0x390d3a49, 0xafbc9ae4, 0x67869892, 0xde4d8bbf,
+    0x8a2e20ee, 0xe1f31d82, 0x5ddef3b5, 0xae3cc772, 0xa06773c1, 0xb0ace9bb, 0x1962d596, 0x30ac8452,
+    0xb4e43cc8, 0x6b31f140, 0xe4a5dcae, 0x79881a8d, 0x43bd5b87, 0x72e404bb, 0x29a01f4c, 0x4ad20a2a,
+    0x6edfd7d2, 0xec7538fb, 0xb130d3c4, 0x76bb39f2, 0x19795ba0, 0x8c18ed77, 0xb8c78aec, 0xd79536e2,
+    0xc9e3eb9c, 0xafa8c67f, 0x43eb9f70, 0x2a0d7a22, 0x49babdab, 0x0427a912, 0x027cc903, 0x52c23d1c,
+    0x495a5922, 0x42985fdb, 0x8cbeeb48, 0xa27ac142, 0x673be456, 0x3bfad28f, 0x4ea44fb2, 0x79fd837e,
+    0x759c904a, 0x8b90d1f7, 0x47cc1afb, 0xebd59f60, 0x3708a4e4, 0xef95b251, 0xa1b38584, 0x55464b84,
+    0x9eeda782, 0xf81b531c, 0x320caa98, 0xff0eb0cf, 0xebd42f16, 0xe69392e0, 0x651827ce, 0x959fee42,
+    0x7595385e, 0x9881a481, 0xbb030fda, 0xee440a48, 0x7bd21499, 0xcefb2ef8, 0x84aede1d, 0x1fb68ec5,
+    0xf87a640e, 0x642a75fb, 0x676c2a6c, 0x32c5a914, 0x355561a9, 0x5d011bd6, 0x2be23da2, 0x6dc5bd47,
+    0x7881ca56, 0xa4b1699e, 0x8fc49a83, 0xe9dfa63e, 0x444294f8, 0x766d3ac1, 0xaf110a23, 0xe53b8cad,
+    0x81c91134, 0xbf3c2cc3, 0xd3466d8c, 0x778ba924, 0x74024e7b, 0xfeef2f37, 0xc73313a5, 0x10a1650e,
+    0x84a64102, 0x7954f58e, 0x00bd821d, 0x73d4cc16, 0x4ba43b06, 0x2d92f371, 0x4d7ceeab, 0xf9eda42d,
+    0xd5e079b0, 0x9372d5b4, 0xe1f43a5a, 0x41470641, 0xa07f6935, 0x2208c333, 0xf602af4f, 0xa28d3452,
+    0x8dbae742, 0xde657904, 0xb92917b8, 0x3e2dc23a, 0xbdfd29c2, 0xa0772501, 0x8fe06727, 0x07f0ea43,
+    0x1aac504f, 0xbb8c12eb, 0x022b9566, 0x99b87a89, 0x1992173e, 0xb943b3e5, 0x821bca9b, 0x437927fe,
+    0xf94b8214, 0x24a2c063, 0xd0e144a1, 0xb8529462, 0x66325f10, 0x825a2b4d, 0xae7a8ef1, 0x316df91d,
+    0x277a4cca, 0xe970ecb5, 0xda9a9e49, 0xbf58d88f, 0x1f07c309, 0x12593ec8, 0xf2947084, 0xf31c2d14,
+    0x00000000,
+    0x5b157f8c, 0x6bf6d336, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000023384026197294446691258957323460528314494920687616 */
+  { 0x00000000,
+    0xd652562c, 0x565df5bd, 0x5d154e74, 0x0d7f51e5, 0xef987fcd, 0xa4056acf, 0xa966501a, 0x9c73ea08,
+    0x6157ed7c, 0xef9f4596, 0x3dff751d, 0xca26a6ce, 0xc5c67c68, 0xa63e07f0, 0x8a4fbbe9, 0x8a4d5ba8,
+    0xa1cc6410, 0x740d742c, 0x8250240d, 0x8ae49d0b, 0x6690fcb1, 0x62772a10, 0xf4acd60f, 0x2d2acbb3,
+    0xd531a816, 0x4a1f096d, 0x7ef81a34, 0xb48c62f3, 0x0a2ad2ee, 0x7954706a, 0x9fffd833, 0x8ac91dd8,
+    0x5b292c3d, 0xe06ff636, 0xd9795aed, 0xc23d5fd1, 0x1238d1ca, 0x11a97f41, 0x343cda85, 0x0db2871e,
+    0xb1173fec, 0x0658c8f1, 0x986681f2, 0x5326d8bc, 0x4cb454d3, 0x213bd4cb, 0x4369a18f, 0xe21b3ad2,
+    0xf0dd4f3e, 0x14b45eb2, 0x24360a22, 0x34998a61, 0xa89b6efc, 0xc6204edb, 0x182d962d, 0x08cda0e7,
+    0x5b347e2a, 0x2ad4946b, 0xe533ed50, 0xcd95b374, 0x74cb39ab, 0x8382599c, 0x16913aea, 0xa3aa1fbe,
+    0xd81847b1, 0x147e6db7, 0x92265e13, 0xa41652b7, 0x08d4815e, 0x8fcf2a66, 0x8814b3a2, 0x3c1934dd,
+    0xb566134a, 0x5f546117, 0x579df69c, 0x22dc352c, 0x7faf97f3, 0xf5053490, 0x2ec53b48, 0x2bb55501,
+    0xd8212fc8, 0xdfacfe52, 0x2745b20f, 0x293266c8, 0x131f0e52, 0xa076edf7, 0x2837a465, 0xe7a63146,
+    0x154630a0, 0x815d1532, 0x4fca2377, 0x575c70ec, 0x73b5d0b0, 0xcece6b36, 0x9ec3220f, 0x6d44192a,
+    0xcfbffbda, 0x5bc804e0, 0xb816e5d0, 0xb6089480, 0x5aa862fc, 0x4240b73e, 0x45030a0f, 0x6ebd286c,
+    0xdbde2d56, 0xa85ccdc2, 0x2d3bf71d, 0x24067386, 0x1762f403, 0x42588354, 0x15920496, 0xb08643e9,
+    0xbfa9989f, 0x28bda793, 0xccd37790, 0x4553c56b, 0x009c1bb3, 0x9f2dea13, 0x697a3f7c, 0x5d153982,
+    0x1ee6f8e8, 0x4b185cea, 0xea9a3fa4, 0x325f98d1, 0xe5481eb0, 0x7fbf339c, 0x6734af01, 0x96d92885,
+    0xf890456b, 0xf28f8786, 0x18614336, 0x275c43a9, 0x2221872f, 0x19d920b2, 0x1fcd363f, 0x58f2649c,
+    0x64394013, 0x9279570e, 0x95dbb72c, 0x946e2f0b, 0xcc6c85c4, 0xce12102c, 0x49e30ce1, 0x0275e636,
+    0xd0f67a26, 0x9725e50b, 0xfa3df43f, 0x7dca11ae, 0x372c48ea, 0x7b2c2470, 0x45be8999, 0x95f673b5,
+    0xeb4805ca, 0xb6d4d74b, 0x574847c1, 0x5e1778d6, 0xf78f15c9, 0xd74b5a3d, 0xecb84f9e, 0x89b17fd7,
+    0x2d7618fa, 0xdc7bab82, 0xa84d26b8, 0x59003c8d, 0x2c83c3f4, 0x0ad5eb0a, 0xee7691b3, 0x0bef9c1a,
+    0xcd7ad686, 0x01915203, 0x7006056e, 0xa4c7ebf1, 0xe887f404, 0x00de6367, 0xd0efe19d, 0xf0fa3fbc,
+    0x0e270e61, 0x40d31a49, 0x53b24f0b, 0x53b49fc5, 0xbb6dacf6, 0xdabdf2b8, 0xbf862ea1, 0xac5b037e,
+    0xe9db5e2f, 0x6ffcc235, 0x60bfc8d7, 0x43a4093f, 0x174db2b6, 0x9ff110db, 0xe0bdfc88, 0xf4108019,
+    0x5f55090d, 0x20282a92, 0xd430c5b3, 0x0e0dfd3d, 0x44637970, 0x2316f082, 0x65ec194b, 0x1731739f,
+    0x18f9fb15, 0xb2791f91, 0x9adf8fb8, 0x6668be17, 0xcd7fcd4a, 0x6689f080, 0xc66a5490, 0x443341fd,
+    0x9a036f4e, 0x89e9dddd, 0xf141296b, 0xac9e7e66, 0x6ba5d468, 0x527b50a3, 0xcd191ceb, 0x2ca3ecc6,
+    0x621a3c94, 0x4d7d3a64, 0xab212b29, 0xddc289e2, 0x0a14f9e8, 0x91ccce9d, 0x3c67470e, 0x6737baa7,
+    0x2fd55528, 0x816168b6, 0x7c66bc20, 0x305a976e, 0x234b3eda, 0xe91932fb, 0x2838cd34, 0x78b07bb6,
+    0x587fa090, 0x62d5c7d2, 0xb928c7fc, 0x7241bf36, 0xe9def9f5, 0xd0e021a4, 0x78ed0787, 0xc3fd879b,
+    0xad474105, 0x08947d36, 0xac9534e1, 0x054b50b5, 0xac7f2d79, 0xd433c182, 0x34a76ea3, 0x4d0ba7c8,
+    0x6b405d77, 0xb8e3b2ec, 0x60ed422c, 0xe5ee9292, 0x1ca4bb2c, 0x9ef19088, 0x0b876788, 0x36f7d7d8,
+    0x5b555923, 0x4b1744aa, 0xf5acdae5, 0x62169a5c, 0x18184168, 0x8a861eee, 0x71d1920c, 0x72987cd1,
+    0x39b66d8d, 0xb49ab2bf, 0xf972c471, 0x0c04fd73, 0x3cca13ad, 0x5ea6fb1b, 0x4f4b1c16, 0xf5bccb5a,
+    0x5dd2b402, 0x078dc5a9, 0x69f5db39, 0x78a24041, 0x03f1a7d2, 0x6d865b24, 0x0530edac, 0x4653468b,
+    0xaa6f40c3, 0x19b373e6, 0xdff73c1e, 0xd8631998, 0x46880fab, 0x584212dd, 0xb272fce8, 0x15f13436,
+    0x247d2c84, 0x44b917a7, 0x75b1db96, 0x3c23a66c, 0x68e4f820, 0xec03155c, 0x568d5b52, 0x7c17e3c8,
+    0xae1ab2c7, 0x6b23f7b9, 0xe6c271bd, 0xc4aa5bbd, 0xb99bf52f, 0x07d3bee5, 0x0c8b9ae7, 0x9898c3ae,
+    0x71086c6b, 0x28e68a91, 0xf54a58c0, 0x12053f63, 0x7a363f77, 0xf03c2da8, 0x7ea0874a, 0x00363773,
+    0x0cfd0f97, 0x81e19f4a, 0xf1c3ed4f, 0x2c76f26a, 0x37f837f4, 0x7d304c55, 0x391ae5f1, 0x0d463b6a,
+    0xedfe2846, 0x456b32f4, 0xb60d1c03, 0xd0e433e3, 0xe6e6fe68, 0x2f849933, 0xeed16bf1, 0x1c7061d7,
+    0x4e4c30da, 0x84540509, 0x8e176e96, 0x86e4aa8f, 0x32b51304, 0x01db5bd8, 0x8447e0b9, 0x0ab31982,
+    0xeb221429, 0x55462092, 0x5c5a0ed7, 0xc82e534f, 0x24d97f3f, 0xdaf6067e, 0x6d76c928, 0xdc620d26,
+    0x8414caff, 0xfa14349f, 0x4137524f, 0x8b2b32c8, 0xd8c3138c, 0xff66b5f8, 0xdef1a50a, 0xa124a913,
+    0x8f6c1007, 0x3d00d8c0, 0x496ff8cb, 0xbf388522, 0x6007c4fa, 0x3168b757, 0x5a2656af, 0xf55dea46,
+    0xb7796d2a, 0xacb53fb5, 0x45d972fb, 0x4ec1163e, 0xf3b11a1f, 0x99e08ca5, 0x274655e0, 0x1f2d7be3,
+    0x74536962, 0x5f091810, 0xab7f64eb, 0xfcf288f4, 0x73cf3c20, 0x39063298, 0x878a6f44, 0xf1dd48de,
+    0x0582f4ad, 0x9f80c210, 0x8b103f71, 0x7189dea1, 0x4aec2b4d, 0xda8719ce, 0xb674bd78, 0x1a8f7cb2,
+    0xad707eaf, 0x4e9f20a6, 0x169936e6, 0x5d1c4e6e, 0x6b2adb27, 0x9dc65df4, 0xf3016c0b, 0xebac574a,
+    0xcccbac39, 0xd2de5ffa, 0x13a82db7, 0xb7417456, 0xbe18a6de, 0xdeefaef8, 0x87aa6318, 0xb02ca19d,
+    0x31da944c, 0xfe150ee7, 0xdd0e8a77, 0xc697d638, 0xba37b974, 0x9b501004, 0xce40e020, 0x758fa477,
+    0xff31e4c0, 0x8280ded2, 0x377c706c, 0xada9b052, 0x88427b82, 0x019f6cdf, 0xc348bc4a, 0xdf87951a,
+    0x0a2a0677, 0x88576063, 0xab616e03, 0xe7fa807e, 0xa09b1d7f, 0xbb253a0d, 0xf555d022, 0x378cca94,
+    0x0cf78cb6, 0x385472e1, 0xff403c4e, 0x1324b025, 0x7ef45e44, 0x86330020, 0x64a69709, 0x14f9792d,
+    0x322ee578, 0x3772c058, 0xfffd3df6, 0x1660bbae, 0x9b182672, 0x36d7ec85, 0xc879aa74, 0xafefc062,
+    0x9d618ebf, 0x8048a349, 0x3171db9f, 0x742e24f2, 0x320998ca, 0x14b05bad, 0xdd89ebbd, 0x36248123,
+    0x2be2f685, 0x4f4e6611, 0x6555c174, 0xd2b782e7, 0x4a47f05e, 0x7b2d7850, 0x416a64f5, 0x50a78fde,
+    0x32b59797, 0xdbc1c31f, 0x96d9800f, 0x56de947b, 0x0b24ac58, 0xf63a697e, 0xd5df56ba, 0x8ed1d8c1,
+    0x73a51314, 0x3d0235ad, 0x333e64e0, 0xf10d45e5, 0x1c84f4ee, 0x78ad48f1, 0x111e2f0c, 0x0a3a5e80,
+    0xf8d2e9cf, 0x1f6d8ec7, 0x46340f0c, 0xb06368b5, 0x4827d916, 0x3148e674, 0xc9c56c73, 0x9c9ac1db,
+    0xbbcbfda9, 0x5115a9ee, 0x32a00b67, 0x20e528ce, 0x87e0ab25, 0x0ba4a611, 0x046da0cf, 0x931519bb,
+    0xb4937ee3, 0xb282e227, 0x1e5dc478, 0x8c1438ae, 0x6eeb2dfa, 0x7ed5332d, 0x586dda19, 0x209dbdda,
+    0x339ff3a3, 0x1ae05eeb, 0x65a93f58, 0x2fa29ea8, 0xb046dca5, 0x27a46376, 0x4205e752, 0x5dec1c20,
+    0x5781aeef, 0x35da2b04, 0x6f7b5d21, 0xfb72745f, 0x6af9039f, 0x678989bd, 0x8a111845, 0xca85e6af,
+    0xfc9f81b4, 0xd49b5710, 0xca2bf978, 0x404ee87a, 0x30e05a32, 0xd27e487e, 0xfc7b50d1, 0xb9efdf84,
+    0xffc8e2f4, 0x73050984, 0x83f09c7b, 0x854942eb, 0x3ca4884e, 0x425609d2, 0x7294895b, 0xf44ead66,
+    0xa7905e15, 0x1e993595, 0x01e79ffc, 0x1a2af2a6, 0x5f39fd64, 0x166bbf1c, 0x7fd7b99a, 0x2138cf83,
+    0x3d2b607b, 0x7f208337, 0x862c0c78, 0xc82b3c35, 0xb5ecea78, 0x41ee0c81, 0xa665086e, 0x64f4fb3a,
+    0xebe6c8e0, 0x8a380b9c, 0x640ffadd, 0xba0c4be6, 0x76f00eec, 0xfcbf766d, 0xd5ddc853, 0x11937ce2,
+    0xe77cd37d, 0xeae24255, 0xde427f27, 0x04df2972, 0x5b7389a5, 0x963bd050, 0xcd26adb4, 0x7fd8722e,
+    0x982bbe8a, 0xb1f7557b, 0x115c3ee6, 0x895795d5, 0x71f9f41b, 0x73a3cdba, 0x4c89bf00, 0x48f5de57,
+    0xc47a9299, 0x2e41ecfa, 0x660c1c7b, 0x47225b09, 0x3a477ad7, 0xee60e641, 0x1841ba80, 0x2dd9d5b8,
+    0x09ebee3f, 0xe99d1f4a, 0xd677a1be, 0xfa71adc2, 0xb370f1d3, 0xb5c31d30, 0xeb2c0d62, 0x5a3de22e,
+    0x741a14b5, 0x4e38ab73, 0x29ae7caa, 0xc57c84b3, 0x4da5995c, 0xe9ddcec3, 0xa80598a8, 0xeb2da8ba,
+    0x4f385047, 0xf359cf42, 0x375451cc, 0xbad8c473, 0xda662ab4, 0xfac2f048, 0x1b01d787, 0x65b8b151,
+    0xa94cec45, 0xdb60a64c, 0xfc57d9f2, 0xcacf7056, 0x55358645, 0x4a7a68a1, 0x448ff997, 0x0eea4cc3,
+    0xdbb7d6cb, 0x7e2ba0d3, 0x55f67921, 0xb64b5d95, 0xda2ab3b1, 0xc1d92a2e, 0x1274ef6c, 0x7e75fa53,
+    0x5a5b1c5f, 0x2a3f19a7, 0x3e5c5b38, 0x9dac86fd, 0x0599ce86, 0x2fedec5e, 0x179cc011, 0x88a0a5e5,
+    0x48494a2c, 0xc041785a, 0x7364f2ab, 0x15c7d33a, 0x9606da6d, 0xb8e04c43, 0x72326def, 0x3657e214,
+    0xb25c90af, 0x377ed104, 0x1c8b645d, 0x941a721a, 0x3d8aa9b6, 0x7326c5a1, 0x9818b5be, 0x6edc459f,
+    0x79e06afa, 0x02d2f775, 0xcc486ad5, 0x9a4df39f, 0x75368872, 0x17cd643a, 0x652507fa, 0x7983259e,
+    0x8d18644a, 0x7895fbff, 0xa28d52d3, 0x4fa44dd0, 0x4288d448, 0x23da4fed, 0x97369bd3, 0x55cc7422,
+    0x2651acf1, 0x752f8709, 0x625977d4, 0x2f84af53, 0x5b98d3ac, 0x633f106b, 0x94371caa, 0xd8c0b1b9,
+    0x4efbe74e, 0x156ef06b, 0x77f3c407, 0xe5552b5d, 0x6d91a4ca, 0x492d7b8e, 0x57c1ffd6, 0xd7992b0a,
+    0x6cdf05c4, 0x54081465, 0x730c1df5, 0x82ea8fc2, 0x50d66d07, 0x9d2c4627, 0xdde4dbf6, 0x5fd12657,
+    0xa3a72159, 0x07a54329, 0xb000536d, 0x58d5d8fd, 0xb94e091f, 0xcf6e3476, 0x6ec4fb4f, 0xf24159e1,
+    0x09841bdd, 0x1da8763e, 0xe02fdbb3, 0xa0f674f4, 0xdc5e20b8, 0x11726ae1, 0x54dc6bb3, 0xe18abe58,
+    0x3d8f71f7, 0xabc97ca9, 0x9a525678, 0x38d4438b, 0xc47ded32, 0xd1c77852, 0x9b3423f0, 0xba3f4ae2,
+    0x68b07296, 0xbd3af756, 0x8daacc7e, 0xcc28e86c, 0x6d7db8ef, 0x90f31602, 0x511ad9de, 0x54d8cd31,
+    0x48e95457, 0x1cad99f6, 0x37620da9, 0x7cf95149, 0x26dfd84c, 0xae198950, 0xb8e709b2, 0x27d61654,
+    0x4ef3e912, 0x3b7009ae, 0xdece1b21, 0xdcf4cf01, 0x5e3a237d, 0x0efb2050, 0x55bfff17, 0xce5a2b37,
+    0x20e95b99, 0x199f4f0e, 0x49fa41be, 0xac461878, 0xeabc2d7b, 0x082f349b, 0xa5bbc2ba, 0xbb4c2f30,
+    0xd0f80f36, 0x6de702c0, 0x83eb3004, 0x89d82cba, 0xe9ebb55a, 0x3cee81b2, 0x1b64e910, 0x6795825b,
+    0x7061b373, 0xb723e509, 0x72596324, 0x24f703e9, 0x9dbbea72, 0xb582d524, 0xb6a6c3da, 0xc56a6dd2,
+    0x890379b0, 0x10ba99bb, 0xd439108e, 0x154bf5c3, 0x2bb137c2, 0x02a7786e, 0x3d3ab000, 0x01dc8b12,
+    0xa51d97de, 0xeee9412b, 0x61aff01b, 0x70d1bacc, 0x3341d1cc, 0x5fbb0686, 0xb15ef9fc, 0xd3ce0fa8,
+    0x53840316, 0x68234a78, 0xea1125a4, 0x3bc7a305, 0xca593033, 0xb03d9e58, 0x6360c84a, 0xf45f890c,
+    0x7af264f5, 0x9a1ac333, 0x55ea120f, 0x6c5efd9d, 0xa00bfd97, 0x5546cf6f, 0x0548fd27, 0xfca43453,
+    0xb4a7137b, 0x5192e157, 0x41f22cfc, 0x7871ac27, 0xde74dbe9, 0xa9f7f4cb, 0x141ad97b, 0x314637a6,
+    0xc0c36f73, 0x4682f8be, 0xa1953cb9, 0xa69f1695, 0x1d0c9fae, 0xb1133ebf, 0x4bc0d5db, 0x5cbc5888,
+    0xc79f1553, 0xdbea5486, 0xedd583f2, 0x6585e640, 0x6f332147, 0xda2dbdc9, 0xe750fd27, 0x4f49c3ac,
+    0x478b9fec, 0x5a0bb012, 0x90b14cf0, 0x33d5645e, 0x767ecf89, 0x1b80ce88, 0x8923043c, 0x84d50fe2,
+    0xc90c3f4c, 0xce86ff8e, 0x15005d3d, 0x2d815cb5, 0x6d5708b9, 0xf0d6c156, 0xe0260f9e, 0x210a51fa,
+    0x89939090, 0x46f3c78d, 0x17250ef5, 0x72f2c00e, 0x1767e689, 0x5dc27713, 0xd5c8af77, 0x276432ff,
+    0x32cf7510, 0x70d0da0c, 0xdf7bf4b8, 0x5d7ecd09, 0x05a8c814, 0xef8fb5e0, 0x082345a1, 0x24ee931f,
+    0xdf0f5aa3, 0x31b14410, 0x22b8c82b, 0xccdde0cd, 0xdf518f2b, 0x7457e4ad, 0x4cffaada, 0xf80eca0b,
+    0x8c1c1f63, 0x5bd34c99, 0xd55615f9, 0x2de3e0b5, 0x70e660aa, 0xbc00eb71, 0xc7987e5c, 0xf38bccfb,
+    0x427a0117, 0x49aa44ee, 0xc6fd5a64, 0x43d50a4f, 0x2b967ad3, 0xb056c04e, 0x36b30a3f, 0x73441a83,
+    0xb7e00002, 0x8ea763fe, 0xf91bf45a, 0xb65a2fb5, 0xa9e063b6, 0x1f58dbea, 0x0c2b6f6c, 0x64f488f6,
+    0x8ffc7f89, 0x1c11f6fa, 0x8a525f14, 0xa80111eb, 0x0258937e, 0x11afc3a4, 0xa92407ad, 0x65d6537b,
+    0x9713399e, 0x8ee72531, 0xa8a699fb, 0x41a54ce8, 0x227f100a, 0xdb3599eb, 0x45fd662d, 0xec6834e5,
+    0x2c716027, 0x10b92c19, 0xc8a74056, 0xe92edf92, 0x6d0a20a6, 0x2e62cd7d, 0x2a99d2ee, 0x1d31a307,
+    0xc14f8b1d, 0xf3585a2e, 0x0d9fafb0, 0xfced7341, 0xe0acfab8, 0xe7b2eee1, 0x9e8309b6, 0x7914a047,
+    0x243ad73b, 0xb048db00, 0xd628c333, 0xf2f6e902, 0x3e3b556e, 0xe7c399d1, 0x032b8a9a, 0x9843158f,
+    0x135d367b, 0xd13d9dac, 0xddc10272, 0x835f638f, 0x5520e38c, 0xeb39e1d6, 0x9960c18e, 0xf3ed061c,
+    0x519e1608, 0xfecd16fd, 0x2daa16b5, 0x6a319e60, 0xbf81ea75, 0xd8005bc0, 0x438098b5, 0x09673215,
+    0x9669a34c, 0x5fab576c, 0xd7d4652d, 0x712762b0, 0x0f9e0f24, 0x00369921, 0x9d0dce0b, 0xf4f68ad5,
+    0xdde0df78, 0x440edcc1, 0x27c08fe9, 0x1b90670a, 0x49590582, 0xb4a98eee, 0x181172fa, 0x7c1609de,
+    0x7b5d4a1b, 0x13f25f30, 0xd6217208, 0x88aba310, 0xdaa79c45, 0xc5a5276e, 0xd91dab69, 0xa01be6e3,
+    0xcdfeae7c, 0x20803359, 0xff4bcaca, 0xecf4a424, 0xada4365f, 0x18037014, 0xe2d8c845, 0x847057a2,
+    0xe3890f7c, 0xb5e3f671, 0x103977e9, 0x766a632c, 0xdfb655e8, 0x1ff3c76d, 0x6ced6bc6, 0x27678b30,
+    0x84d6f94a, 0xf2f38f0f, 0x0bb7aabe, 0x290a46bc, 0x49092a8f, 0x6f515db4, 0xbdd4b0e2, 0xddbc0c45,
+    0xcf29e640, 0x20100834, 0xdb465219, 0x2cc0b1f2, 0x5d27c883, 0x9ea45dea, 0xb9e5b549, 0x45bf2f7b,
+    0x84949565, 0x7b987859, 0x3a2905bc, 0x12120be3, 0xc7dd4e1a, 0xeb148ca4, 0x008c8816, 0x481e8274,
+    0x1480875f, 0xa4602fcb, 0x9e8b3c5f, 0x3fc90869, 0x9bdc7087, 0xd846f9f1, 0x76298c38, 0x33a3b073,
+    0x06108ba0, 0xebe5cf25, 0xb965cb21, 0xb0e58110, 0x09641f93, 0x80c0346d, 0x2f4a0767, 0xf978c781,
+    0x00000000,
+    0x2d8abfc5, 0xb5fb699b, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000011692013098647223345629478661730264157247460343808 */
+  { 0x00000000,
+    0xd0fe4849, 0x7b23025b, 0xe77ed4f5, 0x8bb1b631, 0x9c23db7d, 0x6194d3da, 0xb8322dc7, 0xd16a6594,
+    0x1d4409ff, 0xc158bb44, 0x854c6b9a, 0xf1bc7b14, 0x21c5bbce, 0x416441e5, 0x5659bdb3, 0xab415b2d,
+    0x941294b1, 0xbb86bdc7, 0xe4e89c62, 0xcfbd26b0, 0xf038ef6f, 0x262e3a5f, 0x2cdc93d5, 0xadf6f2c9,
+    0x4db35bbb, 0xf39fbcce, 0xc931a9f2, 0x5dd18761, 0x81b12e29, 0xb487d067, 0xd372f561, 0x29555d42,
+    0x5123cda3, 0xebfc9757, 0xaccc5bd8, 0x24d54e43, 0x542c483b, 0xf9090400, 0x01e17d86, 0x6f634f2e,
+    0xc7b7cfde, 0x5508a977, 0xb17a9efe, 0x3a75d1ff, 0x1b5ae119, 0xbe0e0b32, 0x624ee874, 0x5eed8eb1,
+    0x195c524e, 0xff5cf160, 0xc2afb7ee, 0xf1884cc1, 0xe3da6bcf, 0x9867225a, 0xd089b597, 0x9758a695,
+    0x32f5a238, 0xc3de6464, 0x0e1ec8f6, 0x79847bca, 0xd39ca68b, 0x79277d16, 0x459d43ef, 0xb4a818b9,
+    0xddd57933, 0xbd85eb84, 0xe03ea762, 0xe55e455f, 0x6981a7f6, 0x8684ea24, 0xf3f96049, 0xb020aed5,
+    0xfc13fe47, 0x9f97293b, 0x83ca94aa, 0x67dc0346, 0xe6e41e7a, 0xb0522bdb, 0x1bba6644, 0x94f7e8de,
+    0x107193f7, 0x88a533ea, 0x987f8c18, 0x3017bbfb, 0x73ac5c76, 0x31c58757, 0xcb5ac41a, 0xa9186cb9,
+    0xba196915, 0x7640ed45, 0x92b4579c, 0x9f1f4023, 0xf3189cce, 0xbf0cce09, 0xdf6dca99, 0x70684ceb,
+    0x34516ac0, 0x43270879, 0xf73ca341, 0x98b29e92, 0x36a66105, 0x561cbdfd, 0xbb1080ed, 0x41fc2cf3,
+    0x3f4bc641, 0x2b3147b4, 0x02a4e69b, 0x6131d67d, 0xf93414d5, 0x214143e0, 0xea2adc37, 0xceb49219,
+    0xb4e862ee, 0xbbbe91d6, 0xcb1b986f, 0x314daeed, 0x63bfd3de, 0xb12aff7a, 0xa1efcc95, 0x5e49847a,
+    0x5ff23a7f, 0x97a4ea72, 0x61013598, 0x6d21369d, 0x9fb0d138, 0xcbd93031, 0x12b594b7, 0x90331946,
+    0xaa831adf, 0x854c8e90, 0x0018e3f9, 0xf43f2748, 0xbbb7717e, 0xdfeb46f7, 0x8392b55d, 0x1ab2e560,
+    0xb94c7117, 0x657bc857, 0x05bb55e0, 0x20b25ac1, 0xc5935eaa, 0x9f6ff1e8, 0x70ae63a4, 0x62c1b011,
+    0x8c67eddf, 0x153661ab, 0x582228b6, 0x278c8f35, 0x02ef77b0, 0x719f497f, 0x28b79c62, 0x9283a0b9,
+    0x21bf8916, 0xfb9af72a, 0x73d7f936, 0x364b5229, 0x80705eda, 0x99dcd499, 0xfc12b463, 0x99bf9db5,
+    0x262cb5db, 0xb6bd5bfb, 0x6a940fc2, 0x0b79397c, 0x08eebf91, 0x80170414, 0xa50cc9ce, 0xb0e5b83a,
+    0xfef794c3, 0x45bdf0b7, 0xc34452bd, 0x0001a8bd, 0x8c8a4c79, 0xb01817f7, 0x84e8d283, 0x5edfc08e,
+    0x81370dcd, 0x41e99c8f, 0xc64ea247, 0x29ae91a5, 0xb3a2ad52, 0xa893a508, 0x3716adcd, 0x7cc6b32b,
+    0x2137c5d9, 0xfe7b78a9, 0xc07fc063, 0x0ad66888, 0x198699e4, 0xd76924ba, 0x28e42aec, 0xe47bb9ec,
+    0xac73cb59, 0x5a96ef98, 0xe6c5c5cb, 0x94eb5b65, 0xcf5d309a, 0x49d93fed, 0x8c89f3a9, 0x64ee0856,
+    0xad290986, 0x7068baa4, 0xc3563629, 0xb3c0cd00, 0xd4c0a8dc, 0xe626c27c, 0x3582e423, 0xeeb2ddf5,
+    0xa4a1a94d, 0x823b58e8, 0x6945d86c, 0xe25210ed, 0x6cb59242, 0x79461ef4, 0xd6811624, 0xd71aa6fa,
+    0xe30ece7a, 0x9e27686a, 0xf7329d63, 0xae0f0f3e, 0xc9b8550a, 0x52c69ec5, 0x46616fe0, 0x3d558302,
+    0x63d411bc, 0x6d9a3856, 0x98aee4f6, 0x4ea6237e, 0x5a0d0a07, 0x0a50704c, 0x79bb1492, 0x2cc91601,
+    0x6b765683, 0x2dff181f, 0x775c5ef9, 0x94a99b62, 0xad906d93, 0xb55d1015, 0x5be3747c, 0x07a9a78b,
+    0xc2ce0afe, 0xb8d25580, 0xd95ee79c, 0xd759f887, 0xaa8e5d82, 0x364a4a2c, 0xb77b1cbe, 0xecd46401,
+    0x2ef79ae7, 0x51acd3d0, 0x4716b1cb, 0x36f47a86, 0x2db4a86d, 0xe87fd0dd, 0xb327e02c, 0xad219f67,
+    0x7851323d, 0x5773aadb, 0x8574aad8, 0xb0da7a72, 0x82dccb16, 0xda1989dc, 0x020cb05c, 0xc2a3ce0d,
+    0x63e2e6df, 0xc88b7c90, 0x17a19b86, 0x4e54e5aa, 0x6601a8dc, 0x31821bc9, 0x836b1dfe, 0x72aa18ea,
+    0x22d20efd, 0x12b9ed11, 0x1dbecdf4, 0x1265731c, 0x79986784, 0xf7a2283d, 0xfbc8e6cd, 0x67e5f1f5,
+    0x8058c234, 0x4e4a89dd, 0x6b2dc8d2, 0x6327be07, 0xa6ba2463, 0x397eb5f2, 0xf870f243, 0xa420b661,
+    0xdfe7cfb4, 0xaed54934, 0x183fba1a, 0x5977b1b6, 0x0df12e52, 0x5d4d16c8, 0x80a4a74e, 0xa12ca91c,
+    0x7027cc75, 0xc7344b13, 0x50f94b52, 0xb29e8b58, 0x5a87c398, 0x30165585, 0x5d91c5d1, 0xce947d3c,
+    0x757d19fb, 0x5c5776e5, 0x9c3be1f5, 0xdd796a76, 0x8f50adc0, 0x87e699dd, 0xae2fd0aa, 0x315cd725,
+    0x1a0025bf, 0xae15447d, 0xee218a38, 0x4f37c496, 0x92287ee0, 0xaaafa736, 0x08bcf3d7, 0x75bc8f6c,
+    0x7b419784, 0x068dff83, 0x01642c5a, 0xd04ed0e3, 0xd029de00, 0x2372c895, 0xfb1a2c95, 0xb5272024,
+    0x46393a5b, 0x524298be, 0x75785455, 0xe335e176, 0x730d57c0, 0x1328086b, 0x8e3b542b, 0x1bfee9c6,
+    0xf0c1a0be, 0x1a932ef0, 0xae4a2260, 0x7d8421bc, 0xf6b578ec, 0xd6c80d7a, 0x4c9f6ede, 0x641abc32,
+    0x7c2871bf, 0x3355c918, 0x1e6cb68d, 0xec7700bd, 0xd12354d1, 0x89e677f4, 0x86f9d6d5, 0xc726236c,
+    0x83bf2893, 0x496777b9, 0x7a7a31e8, 0xb07f17e8, 0x2477ba78, 0x9564d7bc, 0x18fc1d0d, 0x71f8aa8b,
+    0xba300fa8, 0x19bfa996, 0x561f2b6e, 0x51a7d673, 0x87be6272, 0x19c87bba, 0x546d51c9, 0x292e58a1,
+    0x0e867d35, 0x3704e49f, 0x4cb6c8ba, 0xc73ad2cf, 0x2fa4c964, 0xb28be2b5, 0x5f171d49, 0xa7336381,
+    0x481f12c8, 0xf7c694cd, 0x42fbf298, 0x0efd23c4, 0x3929f062, 0x49424587, 0x6e578021, 0x83372760,
+    0xab8bdb23, 0x092275e0, 0x0dbde7cc, 0x5b127d29, 0xb81c6d3f, 0x3ca01c97, 0x59a00a1e, 0x05f11778,
+    0xc0adfe9d, 0x3bcdbfbf, 0xee4f142d, 0x52d05aa2, 0xb5cabaac, 0x32caf37e, 0xf669ebd3, 0x722d6892,
+    0x3f1e33ac, 0xd9790fbf, 0xb4ac70e8, 0x30dc59a6, 0xc98d860f, 0x5fec4c4a, 0xf3ca059a, 0xb8d7ddcd,
+    0x1ee4a88d, 0xa081f159, 0x5c7b1dbf, 0xaecb4b3a, 0x0af6bb98, 0x0f6b686c, 0x0ed61db2, 0xf1a95b16,
+    0xfd69c37d, 0xdcd665ee, 0xd8819571, 0xb3c942bf, 0xe40f0156, 0x879848f5, 0x68967b80, 0xf7548a73,
+    0x33bdf6b3, 0x609a9ea3, 0x31adeb58, 0x892e3767, 0x561c3b43, 0x6dffda6f, 0x6e948477, 0x4f68cd03,
+    0x84fdc2d5, 0x1b3c4c0e, 0x752103f9, 0xc1218c11, 0xb7633365, 0xef3ce6d6, 0x999291e2, 0xad665f48,
+    0x16f669ba, 0xf09a3846, 0x149630f3, 0x8822662d, 0xfa3e23ff, 0x113e5791, 0x789deb80, 0x4954c2b7,
+    0xd0a7cdd2, 0xf9131e20, 0x16fc2603, 0x09c956f9, 0x945f6875, 0x4bbc2032, 0xf1c629ca, 0x4a79dc42,
+    0xc78c6d1a, 0x8349d775, 0xd705f7a5, 0xc93409f4, 0xaed3ec9c, 0x0b62e278, 0x6923e3eb, 0x80e88eaf,
+    0xab6ad661, 0x0206f541, 0x601f403a, 0x5bbba814, 0xf6c990f9, 0x4565a6fc, 0xe90a335b, 0x2113d754,
+    0x14a4f4b2, 0x5d3e518d, 0xb7795f01, 0xcab9c0f8, 0xd4819aee, 0xb976238c, 0x28171292, 0x9acde192,
+    0xfa9bd744, 0xda54bc4a, 0xa0fb2857, 0xf1d0bf0d, 0xf780d8c0, 0x47b56787, 0x45ee3391, 0x4aae55bb,
+    0x5b2486c4, 0xc688a8f3, 0x65028669, 0x4ff804b9, 0xe7de4fac, 0x19ec6445, 0x25ef102a, 0xef6414bb,
+    0x508af1ae, 0x72f7848a, 0x6632b483, 0x15bac973, 0x1cda2d56, 0x1f8d71b0, 0xaba4a0d9, 0x7ab6aee9,
+    0xa7237e16, 0xeb50a317, 0x8e2cc968, 0x92281f04, 0xb2fd09c2, 0x761434c4, 0x6d6bccd7, 0xe049dc5e,
+    0x08264049, 0x19092ea0, 0x4a72d652, 0xd60124d4, 0x9ee3d289, 0xba09ef28, 0x508ebbad, 0x13b87392,
+    0xacc327e3, 0x7eab5bbe, 0x7546d211, 0xb26fd446, 0x5ecdcaf6, 0x84ebdf23, 0xfed564ef, 0x3c241207,
+    0x9c9f17da, 0xb6846a33, 0x09ba6dbd, 0x1902517a, 0x4ae9a1b9, 0x29f19d77, 0x14da74ce, 0xdadd4e4b,
+    0x6abf6211, 0x31b122dc, 0x62f27d84, 0x82c036ef, 0xc4ae7bc2, 0x5b82357c, 0x4b2493ac, 0x1c65845d,
+    0x834bcc03, 0xc3adb152, 0x750f326c, 0x9e5620cf, 0xa7f90250, 0xc63f22cb, 0x8ada7e13, 0x91bb2520,
+    0xf97a07d1, 0x321c9ea8, 0xeba8f513, 0x52f828b4, 0x36a038e0, 0x7af910b4, 0xddff6e8d, 0xcf45b30e,
+    0xb5e68b63, 0x27ad65aa, 0x23d69a4a, 0x56217499, 0x50948cca, 0x72b211d2, 0xbc5bf84d, 0x34068433,
+    0xb9f1a25a, 0xf1e86132, 0xee40ea1e, 0xf719447c, 0x9616418f, 0x6a477b03, 0x0889c181, 0xbe1b6218,
+    0x116b348d, 0xcf0f7076, 0x2ff20256, 0xadee2ef2, 0x95fa87cd, 0xbdff3072, 0xff58a31a, 0xce8b8b77,
+    0x36ada887, 0x375179ef, 0xd8aa3cba, 0x270598b5, 0xfce5f3b2, 0x72fafa53, 0x110493e2, 0xc8393509,
+    0xaf100a8c, 0xb1bd9821, 0xbaa82428, 0x2efb408c, 0x2670a71d, 0xebe98853, 0xa8c0af26, 0x30883154,
+    0xc2e9dbd3, 0x09a9eb77, 0xf9d182aa, 0xf1c6dc7b, 0xca83de9d, 0x28b26de1, 0x2cfa4916, 0xeb4ac0a8,
+    0xaa79f7c4, 0x6cc663df, 0xcd7a144c, 0x65abea5d, 0x9f821f45, 0x281be590, 0x724cb70b, 0x5456a34b,
+    0xe22ad08b, 0x4d2ae2b8, 0xf853de4d, 0x364a7941, 0x864f78a6, 0x15c0fcf7, 0xc0c3f3f6, 0xed6b83d6,
+    0x4ca2351a, 0x8a2ec291, 0x063d7c65, 0xb3381a1e, 0x246e19e7, 0x1be06db2, 0xeb4e4495, 0xc613c363,
+    0x2b6e7e0d, 0xdde6f890, 0x8fe8b3ed, 0xff0a295b, 0x3523a5b4, 0xa50a1045, 0x6e49eae8, 0xf2b8f36c,
+    0xed916aa4, 0xacc1af0b, 0x631d1a29, 0xdb8bac71, 0x224f4dec, 0x9268c569, 0x5b563254, 0xb65a8144,
+    0x3c5a3ed5, 0x8f6479df, 0xc59919fd, 0xe1f002d0, 0x28af9fcf, 0x2d558e65, 0xd4e325f8, 0xe499464c,
+    0xb5d3a46f, 0xe6c73537, 0x6524edfc, 0x9bca07f8, 0x8e6680ca, 0x2835887c, 0x141ca168, 0x44a71581,
+    0xe8305b87, 0x9bc3519a, 0xa53ac29a, 0xa9e34a90, 0xac7f4f30, 0x76a0569d, 0x09f947b5, 0x4c1a0d2b,
+    0xdb489d7f, 0xa334eae4, 0xb1a29078, 0x1e406e36, 0x211873e5, 0x235ffb4f, 0x2d676d78, 0x5af8673c,
+    0xaeba7e13, 0x28728a14, 0x75b011c0, 0x0f0cc4bf, 0x2bcfd489, 0xc166690a, 0x4905d2bf, 0x5bfe136f,
+    0xd4a98d94, 0xf74e951f, 0xc1c59baa, 0xbd119958, 0xa8d1a85e, 0x18a4288d, 0xe05d5a00, 0xa40da93d,
+    0xfc8fc9ef, 0x703d5781, 0x8ab48dd6, 0xa9065f4e, 0x97ee5942, 0xf8c6e4bf, 0xc59d0d70, 0xbc3c1878,
+    0xcdac6a59, 0xceead955, 0x70ff79e8, 0x2911721d, 0x13e80ab9, 0xacba00e1, 0x3831479d, 0xb208f8b1,
+    0x1871180f, 0x9b42f17a, 0xe037aaca, 0xe28fe7e7, 0x6c088f0f, 0x115f4fbd, 0x4296c559, 0xc5925358,
+    0xe0657ff8, 0x4628ac5c, 0xe7f5f2dc, 0xcff1e358, 0xe2bd7c23, 0xd3a54181, 0x2d9c080a, 0x36ecb6e5,
+    0xda845e7f, 0xb7ec1d31, 0xc099bbfd, 0xb92c888d, 0x3e8cbeba, 0x97a3bb23, 0x992f4c36, 0xefa2d858,
+    0xaeb41874, 0xa97be326, 0x3b7c1a63, 0x1753a03f, 0xd1b0ea32, 0x73a35fc2, 0xcf698339, 0x2a2d793e,
+    0x7bd0a26d, 0x52fe3cfb, 0x42ab29a8, 0xeff384e8, 0x88eb4989, 0xebbd8ed3, 0xe3e3efad, 0xd1f0b7c6,
+    0xf70678cf, 0x1f5e345d, 0xdec87539, 0xbb62be9e, 0x8499473d, 0x7b1e661b, 0x81369900, 0x64113a60,
+    0xbdf2f2ff, 0xc0790c16, 0xb3ec2a4e, 0x363def65, 0x46bc775f, 0xdd8e2bd6, 0xe1a6c976, 0x8ea09583,
+    0xc15c7a62, 0x2f2cd9c4, 0x963c30cf, 0xf1f8a4ac, 0x43b4b482, 0x612f2117, 0xe0cb8795, 0xeb7bb852,
+    0xabd3f759, 0x795293f3, 0x58ee98cd, 0x89477ab5, 0x17f2a7a9, 0xa0e8dbdd, 0x538edede, 0x10ee35f1,
+    0xf86e4060, 0xf9db43ae, 0x5911e2c2, 0xcba57e35, 0xc6791f97, 0x4c4b9c9a, 0x66dc0ef5, 0xe954cab0,
+    0xbd83b82b, 0x797d16a6, 0x96de51c6, 0x4d957e6d, 0x6cd53063, 0xc3c11001, 0x55a5868c, 0x03e9f29f,
+    0x5e1e9cfe, 0xda718c04, 0x5120d423, 0xc7f6796d, 0x7759b1ea, 0x9491a9b3, 0x9f8bfa88, 0xd74dcf54,
+    0x736e08d3, 0x9e025eea, 0xbb352c8a, 0x96a4435f, 0x09707835, 0x8f3f7792, 0xb1b3fd70, 0xda97cda1,
+    0x139a8cbe, 0xc3f5b247, 0xd3ef4c45, 0xa200f5b7, 0x9bb3650a, 0x34ecc826, 0x274199cf, 0xa3389dae,
+    0x98195b5c, 0xae0fa4b7, 0x8f7b2fe5, 0x64fe30fb, 0x1d5a5cbd, 0x68a21e00, 0x81b398db, 0x985302a3,
+    0xfd51cb3f, 0x7b4eb741, 0x5fbea3bb, 0xcbf09888, 0x73ddfbd7, 0x5c403f1b, 0x48f97cf2, 0x4e23aba6,
+    0x83ef16e8, 0x743d00b9, 0xf35d545c, 0xdc212e84, 0x7358748a, 0x34483d36, 0x515cb10a, 0xaf2afdfc,
+    0x8867f559, 0xb116ce90, 0xf12c9412, 0x61802911, 0xfab4961b, 0x585857ff, 0xb3b8caa5, 0x4a55d78d,
+    0x4833e5cc, 0x88546dfc, 0x655802db, 0xe752b502, 0x548a3380, 0xeb8da482, 0x884b282d, 0xa10b5100,
+    0x586d6c55, 0x386803c5, 0xf8dafd7b, 0xce4e009b, 0xa6450d38, 0x862afdef, 0xba57ca9d, 0x858cc40a,
+    0x8d75e02e, 0xba57336d, 0xfab04d11, 0x2a6c8b97, 0x54403f7e, 0x3d6e5c69, 0xe62e29ef, 0xe1a637f5,
+    0x25fbf99d, 0x5931cd99, 0x7b2c07f0, 0x024547d5, 0x1675b36f, 0x5117072e, 0x1f897ced, 0x32523efd,
+    0x5044a9f2, 0x379e1442, 0xc7f0727a, 0x241f02dc, 0x536adf17, 0xfe0b7ba1, 0xd30baf11, 0x368a1ded,
+    0x588dcc66, 0xbd8e2737, 0x2b9e2b6f, 0x84f10011, 0x30156b7b, 0x590cdf01, 0x717fb834, 0xdef36f7c,
+    0x443901f5, 0x560b14cd, 0x42068f1e, 0x82976723, 0xc0f27e3d, 0x0843d575, 0x51c13a80, 0xdd5be724,
+    0xb382dc6c, 0xd5298cff, 0x92d6614f, 0xadf50ec8, 0x1607387a, 0x10d7c5f4, 0xcc68eff8, 0xe749f297,
+    0xd08bf073, 0xa0a62624, 0x04a6b5ce, 0x8dc6a811, 0x56a6a926, 0xd89acefe, 0x47372307, 0x1091747e,
+    0xbfb4fcb1, 0x9c19d660, 0x3bc207b5, 0x4a52cdc8, 0xd152946f, 0xca1939db, 0xd36f19b5, 0x1ba6886b,
+    0xee801412, 0xfff66672, 0x6aa92c31, 0xc5443d5a, 0xb45f6438, 0x73ad0fb2, 0xab746b12, 0xbf074e66,
+    0xc5639d5d, 0x25207007, 0xc19ce4b7, 0x87f2f1e9, 0xcd5464d2, 0x990dcf70, 0x52c33d9c, 0x75e41b45,
+    0xae244b33, 0xbc7360bc, 0x1b83e19a, 0xd4f34fce, 0x5b0c5274, 0x861ec97d, 0x19a149ec, 0xc4a47715,
+    0xc544c486, 0x11c6e2c1, 0x96fd0f62, 0xc31aab7d, 0xe393fb98, 0xbd0116c9, 0x8196bf87, 0xda8f9b0a,
+    0xeabef3b3, 0xef46bcba, 0x33213c78, 0x6a1f30cb, 0x367291b7, 0x6510d315, 0x3031d4f2, 0x7aac3dec,
+    0x849f16b4, 0x9d6dc386, 0x35443635, 0x1139638f, 0xa89c7ba0, 0x9d390c5c, 0xe536358f, 0xf20f131f,
+    0x8721e339, 0x25e6bf6b, 0x9b34ceed, 0xcebf2a18, 0x450cc22d, 0x8542fc8f, 0xccf31e98, 0x5c2a642a,
+    0xb5b15f5a, 0x40a00a6e, 0x84a580ed, 0x5c38759b, 0x53502403, 0x9a547520, 0xa6c2f29b, 0xb42a59bf,
+    0xfcf5f89b, 0x8af1c09d, 0xe233f52e, 0x5bdde365, 0xd27a50c8, 0xa64e38b1, 0x5f1dcd6b, 0xb2b244c1,
+    0x00000000,
+    0x96c55fe2, 0xdafdb4cd, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000005846006549323611672814739330865132078623730171904 */
+  { 0x00000000,
+    0x63245c36, 0x9476f451, 0x6bd752dc, 0xe78b9cc7, 0x1305002c, 0x68f539c2, 0x7d781e1c, 0x5cd03af4,
+    0xbf4dc009, 0xf28290a2, 0xcf826bad, 0x0ba62f8d, 0xe6d29a25, 0x63632096, 0x310c3ab9, 0xab425c58,
+    0x9709c521, 0x9274ad8a, 0xb507086e, 0x5f2bf085, 0x8fd4e2f2, 0x88bc1286, 0xe7356025, 0xc3a60fb6,
+    0xfef06127, 0x9f6135cd, 0xea921262, 0x69ee2b9d, 0x75206f03, 0xe29e3db5, 0x66cda078, 0x8fde553a,
+    0x9a29cdef, 0xa6d21846, 0xe75f649f, 0x5a932d15, 0x18a0294c, 0x12b16e04, 0x8e9836b0, 0x35a7c489,
+    0x10fc5769, 0xa9ede1ec, 0x88efdc68, 0x6e85be07, 0x5a445a36, 0xaca81c29, 0x61119558, 0x219af6be,
+    0x41b72eae, 0xd5e8df6c, 0xcfcbf934, 0xd6bd85b4, 0x062d2ca6, 0x9eee29d4, 0xdad066b0, 0xacac0b4a,
+    0xea7d0a86, 0x9efb19d6, 0x32dfcb17, 0x749f28a9, 0x44ba696d, 0xb933be50, 0x3cb4d981, 0xcb655d77,
+    0xcecad743, 0xd1f6aec8, 0x56185161, 0xcfcbccb0, 0x05f65b44, 0x78d8b7f9, 0x1bfe6574, 0xf363887d,
+    0x43eefbcf, 0x45ee7bf0, 0x0c25f96e, 0xcffcfa31, 0xadb5fe1f, 0xd71a0712, 0x23b34247, 0x6bc5fb0f,
+    0xd41fa59a, 0xa1a82acd, 0x179e4065, 0xd074d914, 0xe2f73b83, 0x05ca5d2a, 0xc2c2f167, 0x9c913297,
+    0x70303c9f, 0x2d467842, 0xa48a6bd4, 0x170ac467, 0x0e6bc6aa, 0x4511d494, 0x1190630e, 0x6cb272e0,
+    0x47ac118f, 0xa09e0b18, 0x8dc4a426, 0x05068b55, 0x240e52bd, 0x7a00d470, 0xf4760f6c, 0x50c2733e,
+    0x6b4359a1, 0x8e34013f, 0xa8f1d4d7, 0x7a480da3, 0x3a9baa25, 0x0d636d6c, 0x5a617d66, 0xd3edbdb8,
+    0x3d73e66c, 0x7e02522f, 0xc80ec20e, 0xead74e86, 0x6dbab8ca, 0x7d1ed955, 0xeffdf8ef, 0xb619f645,
+    0x27f0877f, 0x73eef145, 0x4b2c4489, 0x5e90b0eb, 0xdfef5c7f, 0x53a6166c, 0x83475b38, 0x706fda3c,
+    0x52dcb280, 0x63023af7, 0x4d71bcc8, 0x886f0a7b, 0x50b698be, 0xd0d7f17b, 0xd667f0a3, 0xd5be1ad1,
+    0x0376818e, 0x3036bfe0, 0xd19c40a1, 0x77c6e41b, 0x55feaf3f, 0xbb131d0c, 0xc29919d2, 0x76fa2c6f,
+    0xc30cc088, 0x322e335e, 0x629c3391, 0x9fe32404, 0x3c578a89, 0xb0aa574d, 0xadbef9b5, 0xefc4f994,
+    0xe17a3c75, 0xf25208d6, 0xea318926, 0x4618f716, 0xbd3414c7, 0xee2ea59b, 0x81886a97, 0x95580594,
+    0x040db353, 0xf0f73a8d, 0xd5c43aba, 0xb0fc188f, 0xdd75f0b7, 0x3531ecc6, 0x4c9d9104, 0xd63efcab,
+    0x0ba6c3d6, 0x7d27dee5, 0x8b2b8458, 0x145bca14, 0x3d3d4b12, 0xba826645, 0xc4978a92, 0xd0809511,
+    0xc15dcc75, 0x9f564696, 0x1f8eced3, 0xe0402294, 0xc5ab84d9, 0xdbccff37, 0x55c19a6d, 0xec5edca5,
+    0x4229682e, 0xeb6e200f, 0x67cbb089, 0x9e3774a1, 0xfee71454, 0x0052c2f5, 0xeda17f83, 0x1eddfd2c,
+    0x75aee474, 0x01a9359e, 0x65989d2c, 0x72232d10, 0xd905fb15, 0x6f1ff512, 0xffd5e269, 0x20aaf334,
+    0xd29f174d, 0x5135baef, 0x12cc89c4, 0x415ad879, 0xd5e305c1, 0x5e62ac21, 0x072efb2a, 0x787afe56,
+    0x8515d60e, 0x05936572, 0xaffb8d8c, 0xb005641d, 0x6c94ef4a, 0xe7b1d1ee, 0xad10b5d7, 0xb4535d81,
+    0x744b1df8, 0x42077a5c, 0x31445ddd, 0xd7305392, 0xe9938e44, 0xb18c46cd, 0x31a3f4fa, 0x8114314e,
+    0x504747a3, 0x64b9b9b8, 0x52df9686, 0x5aebac10, 0xa1a44089, 0xa4f923ac, 0x7e0e663e, 0x6d3e096d,
+    0x873b27a3, 0x12609d37, 0xa11379dc, 0x5971fb60, 0x951bfb93, 0x33279ab6, 0xf2cd428e, 0x233f8372,
+    0x2f00a396, 0x7388024e, 0xd4ce1b95, 0x429f8d01, 0xd49617d2, 0xacf26491, 0xc16e7743, 0x296bb26e,
+    0x34a2b786, 0xd153f651, 0x4775aee4, 0x387f4ab4, 0x02bb61cf, 0x5a7c25b3, 0x2d29e832, 0x87af906a,
+    0xeedf2a20, 0xb47cef7f, 0x058cdb44, 0x82be6c33, 0xcbec6274, 0x8c3c75a0, 0x644352eb, 0x7d5d5a58,
+    0x56482d2c, 0x8cc5817a, 0x9af7dfc7, 0xbcafa90f, 0x3bca5db3, 0x8248ca6c, 0xea94e1b1, 0xa187ced1,
+    0x63f067c5, 0xd316e129, 0xc1a6eeb3, 0xbcbee42b, 0xec61bf33, 0x439633fb, 0x37b131ac, 0x63b3455c,
+    0xd2887255, 0xa345f64d, 0x61906e41, 0x3bf8460e, 0x74e9fbe3, 0x741fe570, 0xab26d5cb, 0xabf1145e,
+    0xae6019c8, 0xb9ef09f8, 0xb694f599, 0x1e52cc8f, 0xfe1104fc, 0xa8568f8f, 0x5e2e4259, 0xcbd1d50f,
+    0xad8900bf, 0x4c232962, 0x17312ff3, 0xbebb010c, 0x93790f2f, 0xd87759ba, 0xc2f0df2d, 0xe36f7aec,
+    0x92064f99, 0xa9eb0f0d, 0x2ce22b17, 0xd8f76e39, 0x02f0ce38, 0x4a898c08, 0xce1ca96f, 0x72d91de7,
+    0x9fdc025c, 0xdd381878, 0x5dae16d9, 0xefde9a8e, 0x9630100e, 0xd8340bd2, 0xc4e47004, 0x8755126b,
+    0x7cab47ad, 0x2820aa05, 0x8eb6a937, 0x3671d907, 0x00c5ac3d, 0xdc3ba8fb, 0x68c2167e, 0x6650f201,
+    0xad62cdb8, 0x37ae4935, 0x5a403c68, 0xd588d46e, 0x5d0e6015, 0x9b09041c, 0x2f101b59, 0x7b8f1bec,
+    0x2db8b424, 0x2ff4d59f, 0x5bacf7f6, 0xe81dcec3, 0x82ab44ac, 0xd879ba3d, 0xfbaf579e, 0xdd9a34ee,
+    0xba4d7faf, 0x1cc1a1ab, 0x3995d38a, 0x1b5f8dd1, 0x080b56d4, 0x42e4e8cb, 0xfea3bb64, 0x5a328b8c,
+    0xdb17d1a2, 0x5c483470, 0x9e4bd263, 0xa0f1f9cb, 0x0ad9d078, 0x75b4f2a9, 0x268abb7b, 0xa8967b9d,
+    0xbce83c3e, 0x596b46c6, 0x82b39d30, 0x554aee07, 0x832f7245, 0xf1b1e200, 0xeec8e1d2, 0x3bcdc366,
+    0x8fc43738, 0x4e9db3c8, 0x7b1c569b, 0x718666ec, 0xdb3a2140, 0x9a33b877, 0xf3483d58, 0xc5d142ad,
+    0x6fbc1dc2, 0xce330636, 0x75fca9e3, 0x16433695, 0x0a3fc4f4, 0xd09a4da1, 0xdf5db189, 0x40b20f3f,
+    0x06273528, 0x85f43362, 0x7842e877, 0x5cd5fef2, 0x8593b5a8, 0xb399db1c, 0x6ec3f3a8, 0x9487fecf,
+    0xb566ab97, 0xd6781c2b, 0xf2563d3b, 0x863fb955, 0x93a49016, 0x17b04fbf, 0x5b09bc4e, 0xa204498e,
+    0xb14afedd, 0x6903e3f0, 0x04988e5c, 0x4b65b714, 0xc97ebe0a, 0x2e79320b, 0x6701d625, 0xaaddbc0b,
+    0x2a161f8f, 0x329ba4e7, 0x63a3cf2c, 0x152c032a, 0x97a0470d, 0x46107994, 0x1ea0fffd, 0x5bcb2a61,
+    0x6a575f21, 0xfb53f242, 0x72e4a5a9, 0x8d2d4d95, 0x469ee22a, 0x60a118f2, 0x6d5a4df9, 0x59a8d128,
+    0xabd87788, 0xfe540397, 0x19a8b941, 0x4de4fec4, 0x662ace98, 0x9528c382, 0xf170da4b, 0x083866de,
+    0x96993d09, 0x5feacd7c, 0x669698d6, 0x821fc0fd, 0x2d5ed459, 0x34ac5021, 0x5fe1885d, 0xe0c68098,
+    0xd9771ea1, 0xeebf4d4a, 0xa657c1f4, 0x29f866d4, 0x5d0071a2, 0x597bba1c, 0x8a6bc1f2, 0x8395e06a,
+    0x88db1ec6, 0x4cbcbfd5, 0x4e2d76da, 0x26a72f08, 0x7b0804eb, 0x4f9e829f, 0x38e4145e, 0xa6870ab7,
+    0x21f8bf41, 0x8f6c31e6, 0x0bc1d180, 0x4f008b2a, 0x51c9c879, 0x1d217976, 0x7182a147, 0xe4a19e99,
+    0xae96c7fe, 0x8fcf5d3f, 0x6c17b328, 0xc94d0cdc, 0x7c3289ee, 0x10f73245, 0x7bd1a4ab, 0xc4327243,
+    0xfaf901c0, 0x95f40978, 0xe355548a, 0x8e81806a, 0x0d6d7ccc, 0xed85d391, 0xee1ea12d, 0x12a5f08b,
+    0xad80d762, 0x07e83185, 0x314a8a35, 0x5ebc5860, 0x85c373db, 0x00a32e9b, 0xd9e1be89, 0x26276fc4,
+    0x33ecc9fb, 0x7974e2b0, 0xf24e8aed, 0x282d80bb, 0xd2910d3e, 0x2dfa0480, 0x18cab3cf, 0x81978b38,
+    0xeb866cb2, 0xff1231dd, 0xe6d4038a, 0x48dc5b1a, 0xf6646f52, 0x71ca8ae4, 0x761fb320, 0xd0a5dd29,
+    0x52e40a27, 0x32066a89, 0xbd8f6450, 0xb3c21af8, 0x5feedd77, 0x149095b9, 0x7103119b, 0xec9d66a7,
+    0x77673a94, 0x8fee04e1, 0xb985642a, 0xdb30be10, 0x807fd709, 0xe7b97307, 0x62c9c832, 0xfbb28762,
+    0x77f31580, 0x0da1902a, 0xe9f762f0, 0xe5f6e4cf, 0xc2495042, 0xa079d69a, 0x95a34cd2, 0x642eee0d,
+    0x9973037d, 0xb3164294, 0x0b2b613c, 0x9f378118, 0x8c5ad215, 0x1b0a2671, 0x9e375a51, 0xec6663ff,
+    0x27479156, 0x8f471075, 0xb9651de9, 0xd7a16e68, 0x16cea9c0, 0xfc2fc9b3, 0xe089db48, 0x59fef641,
+    0x21e6484d, 0x91896dc5, 0x90033ae7, 0x5f08f39d, 0x19b90e24, 0xceb480ca, 0xf5bcdf41, 0xf159d845,
+    0x26abbe3c, 0x77c959d3, 0x053aff94, 0xced94273, 0x371cdcac, 0xd984c531, 0x6e010fa1, 0x816e3261,
+    0xeafcb2cd, 0x5119257c, 0xe14aa9a3, 0x2cb2e658, 0x77735179, 0xf679c8cd, 0xd5a5273a, 0x277aa37e,
+    0xbc8dd586, 0xc918a95d, 0xb6be0ef4, 0x9a52b620, 0xff1362ac, 0x341d0bb9, 0xfec16d74, 0x45d357b5,
+    0x053121c1, 0x244d1667, 0x2137711d, 0xc136d5e3, 0xb2d0736e, 0x99b7503e, 0xcf33c8bc, 0xe260926a,
+    0xa5b2fd2e, 0xb4d39588, 0x801f3a14, 0xab2653e5, 0x7dea7882, 0xaf43aa10, 0x8a522ec5, 0x05a58007,
+    0x705fa20a, 0xffbe3a49, 0x1d960f57, 0x053a4f52, 0x7b0463ef, 0xd531bfc0, 0xb06da0b9, 0x6902b1da,
+    0x03323e14, 0x5c0ac7d6, 0x73ccee81, 0x860e1f16, 0x71b99e0b, 0xffadc278, 0x881b4696, 0x391b296a,
+    0x8d72a0d9, 0x6c39b639, 0xd851d301, 0xcc82cb83, 0x2fc9484b, 0x72c71270, 0x4dca66be, 0xcf6d7b7f,
+    0xd9dd811c, 0x48750d10, 0x05642493, 0x6d900164, 0xe5b06eec, 0x8289b95f, 0x6974083b, 0x7357dd8e,
+    0x12b06d06, 0x600941ff, 0x358aa2ac, 0x6309ee09, 0x0343d6eb, 0x79beab56, 0x610d0292, 0xfccc1245,
+    0x4fa7c14c, 0x54a80643, 0x760d6da1, 0xd37cdff7, 0x00a70edc, 0x0e0be406, 0xc0fe6ddd, 0xe716ea4f,
+    0x91888c8c, 0x11a53ca8, 0x7e716086, 0x570990ff, 0x554ce8ef, 0xc96fedab, 0xac6cd382, 0x0a1a7a2f,
+    0x7d8e5893, 0xb3350f6b, 0x2878bc24, 0xced77d80, 0x412be24a, 0x9185a7fb, 0x852e5ad7, 0x4f71e923,
+    0x70babcf8, 0x6d7836bc, 0x237d1f15, 0xc6f40fc7, 0x5fc59ea9, 0xcb9c3ba9, 0x0541256b, 0x593bc2b4,
+    0x6012a5be, 0x37237591, 0x7582398f, 0xf8895e5d, 0xfc142464, 0x8ca1958a, 0xbe326d63, 0x56681e8a,
+    0xdff0c5a9, 0x222768c5, 0x03c9dac5, 0xc1bf6855, 0xd9fc713c, 0x17137fa5, 0x6eb43675, 0x0814fdee,
+    0x3a2e0a9d, 0x12f82863, 0x5a523f54, 0x03f17219, 0x9ea3b44f, 0xe414c771, 0xf9a8226a, 0x7f7e7de7,
+    0xcd6949cd, 0x1a9099ba, 0x326ead3b, 0xd8139359, 0x1776c55e, 0xe4422925, 0xe1a2f079, 0xdf6c80a2,
+    0x3072087b, 0x57c7605d, 0x2dd219e7, 0xfb4babf9, 0xe9614ce9, 0x348253e9, 0x87cc38e1, 0xc6a38a3a,
+    0xc068ae86, 0xd14743ea, 0xe574b99e, 0x70d974b3, 0xba22bb8a, 0xeabfb636, 0xe778171d, 0xbef40536,
+    0x6f54ef3f, 0xe50e0625, 0x0586eb7e, 0xc8f349ad, 0xa4320914, 0x6f1b2d9f, 0x92be1c00, 0x42ac68a8,
+    0xaade6900, 0x7f2a85c4, 0x9a69244f, 0x63f334d6, 0xe2a4fd50, 0x9c604fdb, 0x0275067d, 0x898bde5e,
+    0xd26bc21d, 0x873f73f7, 0xff465cbf, 0xd1342404, 0xf7d0947f, 0x319475c9, 0xa6561a27, 0xaf9f99ec,
+    0x5fd775a4, 0x20d8e046, 0x9266f617, 0x55517dad, 0x9914fb76, 0x83927c67, 0x1629504c, 0x55138c1a,
+    0x605f60fb, 0x00dce3ca, 0x685d7172, 0xa25aa5f5, 0xa5f17984, 0xcf8b932f, 0x8255e94b, 0x472421ef,
+    0x8e42be7e, 0xee88934e, 0x45f40467, 0x1f5abea1, 0xf5cb3229, 0x4a698ed7, 0x22f2d836, 0xa66cbe58,
+    0x9fb7ede2, 0xb65f9ae2, 0x1878e64b, 0xafe61500, 0xdc523cd6, 0x8500dbf9, 0x09cdeedd, 0x0b5d0d77,
+    0x586bf497, 0x88d5356a, 0xdea1f070, 0x83aed63c, 0x6e5df8c9, 0x340f744c, 0xec053e8b, 0x2a70556b,
+    0x274f5be1, 0x604ab3b2, 0x4cecd07e, 0xab96b9fb, 0x62dcaa98, 0x25caf912, 0x52174807, 0xe3f5716a,
+    0x82ab773f, 0x2956e579, 0x8c6656e3, 0x9b08cc3c, 0x501fb1c1, 0x67ae3b5c, 0xe8eeda5a, 0x9e3071b4,
+    0x0c581f5c, 0xffd54d8e, 0xc2930938, 0x5b215e5d, 0x6abb91e9, 0x05c06f0f, 0x660a414d, 0xcabd0b78,
+    0x4d8bb6c3, 0xddef74d2, 0x42169e1e, 0x1fd728ab, 0x2d0ec706, 0x015f0c0c, 0x9c164b2a, 0x7594cca0,
+    0x13693543, 0x7d476d7f, 0xb1a5fe6f, 0x7d1bfcda, 0x023d7846, 0x0b92674b, 0xfa54018f, 0xa2721a34,
+    0x088f7c08, 0xba6f5efe, 0x4ece4558, 0x1661b37b, 0x090dff7f, 0xf7a4e710, 0x4771539a, 0x054d0f4b,
+    0x28bc9707, 0x4b0a3968, 0x74da99cd, 0x93829a47, 0x1b4e5756, 0xd2b1afca, 0xe4b736c7, 0x4e3aba54,
+    0xac76be7f, 0xd2eda0fa, 0x2dd6b849, 0x9dd01601, 0x6b985635, 0xf5c76bdb, 0x979737c5, 0xda743ca4,
+    0x37d5dc0c, 0x7172b5e8, 0x97b66310, 0x8e2dd5f4, 0x47738eb3, 0x4736a630, 0x3cf36cb5, 0x2a190880,
+    0x95f06e57, 0x7909b2be, 0xfa2b3c92, 0x060cd806, 0xd4970eb5, 0xdd3b9d41, 0x818a3ee8, 0x8caedc63,
+    0x51383c5a, 0x876bd213, 0xe820986a, 0x66164361, 0xdeb5d9ff, 0x4c8ed917, 0xb333da39, 0x4ba70487,
+    0x18ab96c7, 0x2604c2ac, 0x1f269bdb, 0xb28cdb4d, 0x43dc1e23, 0x2262024a, 0x89696c47, 0x74ad8964,
+    0x44307ac0, 0x6d9a5702, 0xcf1ebf14, 0xe607155d, 0x5f3c62ae, 0xa438b343, 0xe40500aa, 0x4cb0495e,
+    0x08ecbc77, 0xfe0ea5a7, 0x030533fd, 0xf764b21e, 0xd35b7dfe, 0x2765c610, 0xaa6e8672, 0xd3642a62,
+    0x96ef5e66, 0xfc508446, 0x88a61cde, 0x60ff8cd4, 0x170777fe, 0x37a34824, 0x5bc4de52, 0xe62ceea7,
+    0x625f67ef, 0x47dcca6d, 0x0dbaf741, 0x602489c6, 0xbe96612c, 0x113cc184, 0x65ff4124, 0x809ed3f4,
+    0x1daacd5d, 0xefda7bf0, 0x5c485401, 0xa51f7cc2, 0x3d1f0429, 0x63356fa7, 0x19d03640, 0x95747f13,
+    0x07600815, 0x7846c527, 0xbadc09b4, 0x2a3967be, 0x03faafa9, 0xe5699e7d, 0x19308570, 0xe17641e2,
+    0xbc45b5f8, 0xe29c4410, 0xbd230786, 0x20af7cfc, 0x8db0c397, 0x2672c971, 0x840ae005, 0x1b1e5763,
+    0xb725bc23, 0x19de58c4, 0x289b672c, 0x1b399328, 0xf1dc6d46, 0xa076cc63, 0xbbfc6d01, 0x3518e1b2,
+    0xf3cec968, 0x2413c989, 0x7c26120d, 0x7eaeca8f, 0x9aa96504, 0x66d9cb56, 0xa74eacf7, 0xd10a8305,
+    0x20e356e6, 0x8bbf7d02, 0x5c43f2d1, 0x0875e44a, 0xa75f94eb, 0x5fda02f2, 0x1011c764, 0xc6d6fe9e,
+    0xd393dc8e, 0xe302620b, 0xf49a68ef, 0xbc756884, 0x49a6e29b, 0x37fe4a29, 0xadfde10f, 0xb29113d8,
+    0xefc788c5, 0x899a661a, 0x27ef1b8b, 0x639fcdc8, 0xcc521ea0, 0x3ce44ecf, 0x29fab395, 0x42663b7c,
+    0x213e04a0, 0xb098a5a2, 0x98174e88, 0x62008009, 0x81098b34, 0xeb9e7f12, 0x12be1227, 0x34ea25b3,
+    0x57876e11, 0xf3067014, 0xd2eb3074, 0x9c27a618, 0x92023a3e, 0xa03da8b3, 0x82ad69c4, 0x83d78ab6,
+    0x381055e5, 0x362c064d, 0x7a815e07, 0x460dc88e, 0x3e0a3915, 0xc33e1837, 0x74700b11, 0x02a8fd5c,
+    0x24732914, 0x174062cd, 0x86a42ad4, 0x75e775db, 0xeee24f8c, 0x59def484, 0x49ea63f4, 0x89350237,
+    0xae17e6c7, 0x86e447ad, 0xb7f2555b, 0x72bb2619, 0x0faa4a62, 0x73d23cb2, 0x42197f44, 0xd5e23efb,
+    0x00000000,
+    0xcb62aff0, 0x6d7eda66, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000002923003274661805836407369665432566039311865085952 */
+  { 0x00000000,
+    0xb96a1ecc, 0xff629753, 0xf6db103f, 0xced45217, 0x7b24743e, 0xb94cf395, 0xa39b95fa, 0xa3dd896f,
+    0x837f2926, 0x71f22273, 0x39dc6d4e, 0x313af255, 0xbd3c9511, 0xcc703d02, 0x78b8df6d, 0x691f04ca,
+    0xc0997414, 0xa92f8450, 0xb9ec8c66, 0xabe5d5fe, 0x4749e9f8, 0x30e9b4a2, 0xf2b12a13, 0x32ae1440,
+    0xfdd53a3b, 0x85506fbf, 0x4d897ad2, 0xa26bc005, 0xc8e7dd6a, 0x723e9203, 0xc4da577a, 0x2bf8786c,
+    0x0eb83e47, 0xfd0329ce, 0xa49d566c, 0x3b21e84e, 0xcd3b9690, 0x9da17367, 0xb345eaf8, 0x71397534,
+    0x3f902485, 0x9287ae32, 0x490f4f55, 0x3ec3738e, 0xc23db90a, 0x8fefc674, 0xe47304b0, 0x7ef7d042,
+    0xfe98401c, 0x310ccbda, 0x3b673900, 0xdc4e7332, 0xd9eaccb7, 0x99f587c9, 0x5d284402, 0x55a704b4,
+    0x15de170b, 0x3869452f, 0x50bbcf8b, 0x5067b710, 0x82d520db, 0x6b1009a1, 0xc7d83e34, 0x7ad5d0e3,
+    0x3ca6a4d1, 0x1186a62c, 0x4c27296e, 0x6881d257, 0x69593dcb, 0x1750c12d, 0xe0b07277, 0x99d37d60,
+    0x4ff5842c, 0x3a798a95, 0xb10006cf, 0x1f4bef00, 0xb1da74cd, 0xc50125c0, 0x61e9e98b, 0xa08fad55,
+    0x15d5b327, 0x356096a1, 0x0b8a3016, 0x122e57f5, 0xe7d5914f, 0x36c110bf, 0x59186b36, 0x0f8ca28e,
+    0x0b0b3d18, 0x91b63f14, 0xf1f5de33, 0xf37277cb, 0xe6af29b3, 0x3ca9f6b7, 0x7f3fdcba, 0xd2610130,
+    0x6f83bd0a, 0x7f963ab2, 0x6a17a741, 0xc2fbc33e, 0x10a8bc73, 0xf0b4d945, 0xbed11a88, 0x1f278494,
+    0x5ad30767, 0xa43c532c, 0x20146e9a, 0xdc02dec0, 0x0fb88699, 0xa9755ee6, 0x8e55cdce, 0x2c1d8096,
+    0x6fd325c7, 0x4e9bde1a, 0x3cee7542, 0xd684385f, 0x712bfc05, 0x8ad1bbfe, 0x4a7f4210, 0x18aa5d47,
+    0x3f29cdc6, 0x6ddd7d4d, 0x2d257808, 0xa58f9e96, 0x487ec88a, 0x4978ee59, 0x13fe8466, 0x7305f836,
+    0x1767bd4b, 0x7f6a5343, 0x83dc1384, 0x83ac10d5, 0x292d24a2, 0xe763ff3f, 0xfd1160c7, 0xe867e518,
+    0x23922f2c, 0xb7481f9a, 0xd640aec6, 0x2b99579e, 0x5334d576, 0xfd71dd00, 0x4a31fbd6, 0x2440fbda,
+    0x2110f493, 0x97d8cb07, 0xdb9f48dd, 0xff9408cb, 0xb061b9e6, 0x44d2f2ae, 0x8deb1852, 0xc37a0242,
+    0xdf0fa36d, 0xfed450ae, 0x40a6409c, 0xcdf326b3, 0xfc35ebfb, 0x1f8d5682, 0x097d89ab, 0x0a330a9c,
+    0x427006c4, 0x1e7a482b, 0x444dbcc4, 0x4cf93b6f, 0xf04e5188, 0xfe47e08b, 0xfe05e10e, 0xcf33d110,
+    0x87c02e64, 0xc9e8ca38, 0x08d02226, 0x70c4a76a, 0x0020d3ac, 0xae533f56, 0x47fb6b7f, 0x3eb48e3d,
+    0x1bdfbdca, 0x0808eaeb, 0x02fcb01f, 0xfcc94712, 0xc9b30ec9, 0xbfe6a084, 0xfdf3d76b, 0x1cf7eb3b,
+    0xc70c7d4b, 0xab1091c1, 0x3ab47f23, 0xad58b7ad, 0xdcb87dda, 0x70d5faae, 0xba4359a5, 0x5b6ea8f3,
+    0x9a18e0de, 0xfb394b6c, 0xd792c420, 0xd62abb2a, 0xf568b061, 0xc375fa0e, 0x4d1d3b6a, 0x37681ab7,
+    0x88664f2b, 0xbee5a58e, 0x484e1558, 0xeb18e91c, 0xd1c49f91, 0xe97a5386, 0x75671e51, 0x50694e04,
+    0xb7fe1bd8, 0xc7693e65, 0xa74c85c5, 0x6275f4e1, 0xa8bd7a84, 0x2b9c33e8, 0x0ea5487d, 0x3f9f42ec,
+    0x184ab846, 0x58b9761b, 0x296b19ff, 0x1a83dba3, 0xc12e9987, 0x08f11b95, 0x39239608, 0xe03d14da,
+    0x49a72245, 0x28a43a1a, 0x082775ec, 0x2114bd79, 0x0c12ed75, 0x2ff0a9f2, 0xe325dc4f, 0xdc8c9f7f,
+    0x2a2bfa2a, 0x626437e4, 0xfc8b70e6, 0xd9c10456, 0x6a515ff1, 0xd4398281, 0x1535265c, 0x1faf01f4,
+    0xc99777cc, 0xc2e6688f, 0x272bac46, 0x462d84b5, 0xb5f936d9, 0xfdb9df7e, 0xd13ce4c1, 0x83e93fb7,
+    0xa503b21c, 0x3a3297b1, 0x74b644d9, 0xcf944f8f, 0xd48e26a6, 0x112cdc48, 0xb7e47497, 0xde607abf,
+    0xb0eca917, 0x97e426f7, 0x1e3e2d2f, 0x0d4071fb, 0xda972121, 0xe111fda0, 0x6b949465, 0xdcf51ee7,
+    0x86a61396, 0x51507e01, 0xc13b12c8, 0x7e084987, 0xfd54a50e, 0x6d05785f, 0x16826024, 0x1ca72e53,
+    0x47ea412a, 0xd807e430, 0x9e689e24, 0x94536516, 0xd73eb41f, 0x001185d0, 0xd5a64574, 0x71a4efa8,
+    0x997834ab, 0x8a7627a8, 0x2c767d9f, 0x4a31aa83, 0x3eae94ad, 0x55563ebf, 0xee9360c1, 0x93f95951,
+    0x8a43a8ef, 0xe5ec8a34, 0x1ff813a5, 0x3441325d, 0x5ca20cee, 0x16d04947, 0x4d846523, 0x31a44577,
+    0x2036a5ee, 0x30deeba1, 0x7dc9badf, 0x22ed1096, 0xbe115e3d, 0xd476f360, 0xcae562c2, 0xad3e93d3,
+    0x57ab583e, 0x9a08984f, 0x8eaba3d2, 0x82473f31, 0xaabcbc86, 0xa5764c25, 0x86d99afe, 0xc0d910b4,
+    0xe22d173e, 0xc21e1cb9, 0x2d68d429, 0xe9405f88, 0x564309fa, 0x5b18fc73, 0x16074754, 0xb65e001a,
+    0x343589b2, 0x208f7f58, 0xad08ae4c, 0x0e113395, 0x43e36f0c, 0x7271fab0, 0x3225b932, 0x7f9117fb,
+    0xa25fef10, 0x30de6a5d, 0x098541e3, 0x50b0e5ad, 0x61b21769, 0x9612c988, 0x729d5d20, 0xba4aa085,
+    0xb06d7fd9, 0xa38b7e22, 0xa830f999, 0x36f7e8ad, 0xcc596030, 0x3614a904, 0x2d655366, 0x358785db,
+    0x487c3cae, 0x5d7b50bd, 0xc5e5dd36, 0x44bafdda, 0xc7a84f79, 0x42481b5f, 0x0ed86019, 0x1351b41f,
+    0xa9411fd2, 0x0a17efb0, 0xe49f1705, 0xb3d5a8c4, 0xc29714a4, 0x69d6ee31, 0x708e78c0, 0xfc9c98fb,
+    0xc8c72bf7, 0x3798b0e4, 0x06fcfc77, 0x9b9120d1, 0x65e09308, 0x4c28a3a4, 0x11656155, 0x8fdf28f3,
+    0x660d50fa, 0x1009ab39, 0x420ad6f3, 0xd3f1d367, 0x981e8b94, 0xf8334605, 0x8b86b577, 0x45ac144b,
+    0x2e658db3, 0xf4c6acc4, 0x374dbf1b, 0xe0aa68bf, 0x2bde479e, 0xe320a9e9, 0x52d58711, 0x420a63c9,
+    0x4f1d2f2f, 0x92376824, 0x38e66268, 0xee12c933, 0xc1cc0e11, 0x0d171eb6, 0x08f38fef, 0x268bc9ec,
+    0x0e5f24e3, 0x8a09a95c, 0x95d074eb, 0x7881943f, 0xd4682924, 0x3a253ee0, 0x663a2b56, 0x3b2a60ba,
+    0xb163f4c3, 0x22507f23, 0x783e8273, 0xed34ec32, 0xdb4ba907, 0x7decad61, 0x3bf10537, 0x087af330,
+    0x5f0962e9, 0x633debd8, 0x10227ff7, 0xe2575990, 0xa462c3f0, 0x1598ad54, 0x947e33cb, 0x6c138abc,
+    0x25f558ba, 0x4accc7f3, 0x8ffd6aaa, 0xf517f908, 0xff2e0c16, 0xfc34ba06, 0x82054217, 0x64dbc8bc,
+    0x06bc5d9c, 0xd96e1649, 0x658a616e, 0x0d0b7405, 0xf4e97abb, 0x102446bd, 0xc5d0ec30, 0xd8b9d3f5,
+    0x628cfd63, 0x0c18e50d, 0x850ae291, 0x9967717a, 0xc4771fe4, 0x3b323909, 0x1673ea6d, 0x56883b9d,
+    0x3d86b45c, 0xfcda5586, 0xd4ea5868, 0xf8919f38, 0x3910eb66, 0x9d9025c0, 0x9b9b32c6, 0xe8e07fe2,
+    0xe3ee8236, 0x030edef9, 0xabec9434, 0xc673d294, 0x7d17320e, 0x5d5ed04d, 0x046978ee, 0x466fa568,
+    0x783b7aca, 0x809598d3, 0xe3b92448, 0x14271237, 0x5eba0f91, 0xf656519a, 0x36afc475, 0xcb96d9dc,
+    0x9f8b1ea0, 0xf560f322, 0xe13ac824, 0xc7c6c3d3, 0x2da73f71, 0x05bbe1f0, 0xdf2f116e, 0x748a0673,
+    0x12809dc4, 0x7857416f, 0x00ba6d01, 0x61da4ab2, 0xb2370c38, 0x6c4bae30, 0xfce8604b, 0xfb373718,
+    0x32122bbf, 0xff690fae, 0xeb96f7ea, 0xb665e988, 0x39ee5bd9, 0x55cf18ca, 0x2c6f078e, 0xda2f5f98,
+    0xbb88fcb5, 0x009f55ce, 0x16952da7, 0x46284f02, 0x3b6007a9, 0x9f746ed4, 0x4787eb23, 0xa5a13902,
+    0xbff58d43, 0x42c24305, 0xd8439df2, 0x3551be73, 0xe195814d, 0x58df82e2, 0x20ac47dc, 0x75de77aa,
+    0x5ab883f2, 0xcda2ddce, 0x6f79166c, 0x4ef68aa9, 0x124ab8f9, 0xd26f672f, 0x0bd519bc, 0xf5c4b54d,
+    0x24535170, 0x5408939f, 0xbfcaa686, 0x8fbbc49d, 0xc6906df8, 0x3c930e24, 0x0849780a, 0x4034a479,
+    0x342d69fd, 0xf515e415, 0xbbf946a7, 0x676f6574, 0x379d6638, 0x287a0bd1, 0xfaee2591, 0xe53c37b6,
+    0x5b4f78e9, 0x963ac8be, 0xc00bc7c5, 0x3deebb41, 0x9f1c1636, 0xf6464d69, 0xc5c0ab2e, 0x2d709250,
+    0x6e6e542c, 0x79557a55, 0x02fec95a, 0x5adbb409, 0xc6173c8f, 0x43daea4f, 0x804f4804, 0x27f60181,
+    0x053aa17b, 0xa16939d6, 0xfc08707d, 0x12ca759e, 0x962f547a, 0x3656113e, 0xe98ccd6b, 0x5139efd8,
+    0xe7a8c6d9, 0xeb725e54, 0x03165b5d, 0x414730cf, 0x619767b2, 0xe5408858, 0x936051f6, 0x43f56b84,
+    0x88c12398, 0x52c0de26, 0xc0344cad, 0xf8f997d7, 0x9c452d79, 0xb01a6555, 0xe9455990, 0xeb90eadd,
+    0xe825f77c, 0xede31e94, 0x2494313f, 0xa8dc0c52, 0x35b6ba0e, 0x50e24cf5, 0xa23c7d7e, 0x130959c1,
+    0x8d0fafd2, 0x504f5e3e, 0x353b81c9, 0xb76cb685, 0xe910c705, 0xef828e91, 0x95df305e, 0x3fde6970,
+    0x3cbee185, 0x41d4a1fc, 0xf3906333, 0xffa06314, 0xb15a8e1d, 0x0fa56617, 0x592ab3a4, 0xeb395514,
+    0xfd1c9b9d, 0x2f6c6569, 0x0f1afe7e, 0x27d938fd, 0x93a90a41, 0x5dbdf942, 0xc5359abf, 0x49f380b8,
+    0x91f7c884, 0xa7dcfe99, 0xde338899, 0xfd3af2ff, 0xb0bb8d57, 0xd232a461, 0xa76d13ce, 0xc4d4c9d2,
+    0x8495d70d, 0x3ea7d80b, 0x0f4aeed9, 0xe841e985, 0xbb737254, 0x856121d3, 0x1b8a658f, 0x568705ab,
+    0xddb9bff4, 0x1af45287, 0xe504c9e8, 0x5131b0b4, 0xd3374447, 0xe26c0346, 0xe744ef70, 0x8bd8d21d,
+    0x5cdc3533, 0xd0d3efcc, 0x9c5e17ae, 0xbbf4f9dc, 0x8b73e54b, 0x97eabc79, 0xab65131f, 0xfee2da87,
+    0x23a79242, 0x13471b93, 0xa184280f, 0x75537bd7, 0xcd047320, 0x5a7793d4, 0x559a04b8, 0x7df9278f,
+    0x007de964, 0x5eaa835e, 0x59b15cac, 0xd3e304f2, 0x295ff191, 0x3f920997, 0x1f6cc90f, 0xcef4bea0,
+    0xba80484a, 0xa1341284, 0x74adac8f, 0x4137485d, 0x60d06fdc, 0x80dc27ff, 0xdba28271, 0x0db8d67f,
+    0x41ca18ed, 0xaab6f535, 0x368af7c4, 0xf7ca2e23, 0xdf209906, 0xbc6319c5, 0x517ea539, 0xf41f7a47,
+    0x896cc95c, 0xc728fd37, 0xfaad28e8, 0x980c6eb7, 0xa846d274, 0x970e325c, 0x64895b56, 0x611b535d,
+    0x7fbd63dc, 0x6458ce71, 0x82f2f028, 0x5bb94537, 0x2d981b62, 0x8e5ba2f6, 0xc65ad093, 0xb2d276e4,
+    0xccb2dd93, 0xc4889cb5, 0x2b099a00, 0x64ebdcef, 0xe27ca4c6, 0x42f51306, 0xe02fe784, 0x414706e1,
+    0x0103dcec, 0x742b9447, 0x41ff1230, 0x8d8534a0, 0x8d9cf2a2, 0xddc39ade, 0x2099c1ad, 0x2594ffc0,
+    0x7b0a4269, 0x9e594da4, 0x5d3ff07b, 0x0ae0228a, 0xe10e734f, 0xf6a2b112, 0x3ceaa29f, 0xa4d0b1b8,
+    0x21052ecd, 0x64654514, 0x5a149499, 0xb7b4dcdf, 0xa7fe6b11, 0x23f972fb, 0x25f83063, 0xeb394cb9,
+    0xcf2ff9fa, 0xd12c0c72, 0x275287d6, 0xd80a63f2, 0x10a0b733, 0xbbeb69e6, 0x1402c574, 0x8c7e1da7,
+    0x3014c907, 0xf162968f, 0x5e7204c5, 0x1f4ec9f7, 0x0af1ec49, 0x7f13485d, 0xed4cdcf2, 0x5413b58e,
+    0x45b56a33, 0xd856a3a3, 0x25d87516, 0xc58a8310, 0xe57f72d6, 0x01b2cc75, 0x7a85060e, 0x138ce018,
+    0x54117de7, 0xc2a3c2cf, 0x05db3eac, 0x70dbfed9, 0x921c285e, 0x40fb0a05, 0x0ab2537d, 0xfcaa52f1,
+    0x3878fecd, 0x73bd56a4, 0x4f699b92, 0xfada54c1, 0x75595cfa, 0x76e055ff, 0x5e0ef7a5, 0x3b148eae,
+    0x909af699, 0xf4f76978, 0xa982174d, 0xfd98f68d, 0xf7810106, 0x7a75530c, 0xec551caf, 0x888423c4,
+    0xbea232fb, 0xe6645a4c, 0x00090897, 0xd147b85e, 0x63f40dde, 0x587d09fe, 0xbdbeca1b, 0x0642a517,
+    0xd66adbd7, 0xaec2f789, 0x409d5450, 0x59ed1c5d, 0x34a86359, 0x36854cb7, 0xd3517a18, 0xf334441f,
+    0x69934f1c, 0x80899560, 0x5bf5deec, 0xf55f1a18, 0x9cd4423d, 0x5aa506fb, 0xe30d6748, 0xa2373e76,
+    0xd57c2a19, 0xbb84718c, 0x00b2c9db, 0x1f74d675, 0x0e8981f5, 0xdced147e, 0x1780c97f, 0x9d646650,
+    0xae3e29ec, 0x3782b14e, 0xc1f464c4, 0xb6bec91b, 0x9fb65c46, 0xa47209e2, 0x30ec9150, 0xccc94f8b,
+    0x587f8abc, 0x4638dc3d, 0x6e3249c5, 0x28ca6996, 0x80d83ea7, 0x9d0587f2, 0x531d20e5, 0x7f6cbc44,
+    0xa366fbb4, 0xb45e556e, 0xe57bc90a, 0x409feaf4, 0x652fd63c, 0x626970f8, 0xe3522107, 0x3c65cdfc,
+    0x30906fd2, 0xb472b861, 0x81294eae, 0x43e40a87, 0x15eb09df, 0xae8b4152, 0xc595fa2e, 0x671a1afe,
+    0x2b9e2296, 0xa49ccdb5, 0xab844ebf, 0x54064944, 0xf2abc88a, 0x39144f21, 0xb2f51716, 0x7665e282,
+    0x4a8adf57, 0x51d42f4b, 0x617314f7, 0x2259511d, 0xd69b7e59, 0x49ac3024, 0xc8b55674, 0xc27bf98e,
+    0x4f632c10, 0x0be505a7, 0xc4bccd2e, 0x4730dbbf, 0xbd466c09, 0xdd166a18, 0x0b4db0ed, 0x0f2b4556,
+    0xd84f9040, 0xd708760a, 0xa39fbae9, 0xe5c6f156, 0x66c6be64, 0x21a0261e, 0xf7025a90, 0xdb7bb669,
+    0x8c820e1c, 0x7211f730, 0x02b2c4aa, 0xb4a2303c, 0x439a1afd, 0xc66e3ee5, 0xd58e4112, 0xfd0fd342,
+    0x17b7be58, 0x88d466ea, 0x97835196, 0x0e5b097d, 0x6d00cdbb, 0x044d0509, 0xab6fa7f4, 0x06ac6bd5,
+    0x18025110, 0x2e984642, 0xbde33fad, 0x55f96044, 0xe603920f, 0x0f563d9e, 0x5253772b, 0xe2c279f2,
+    0xf7a88264, 0xbc8abfd2, 0xe962b47e, 0xc4e91116, 0xdc168548, 0xcd53e8e5, 0x700ae3a1, 0xd0d69859,
+    0x31af26f0, 0xeb156019, 0x2be5a44a, 0x2a48476a, 0x58acf7af, 0x66eff1ef, 0x83be97ad, 0x22b094ec,
+    0xf2d958c6, 0xacc7b637, 0xf6bbfc81, 0x99b5e98c, 0xadaef667, 0x8fff152a, 0x28cfa762, 0x975d10c4,
+    0xa4521b1f, 0x378f9d65, 0x0c1e5ee7, 0xf4fad76a, 0x8d2f0a2e, 0x36d494ef, 0x23843c01, 0x464a3151,
+    0x7c964053, 0x0a974a43, 0xc1557aed, 0xaccdbf7c, 0xce12959f, 0xd4a2f2bb, 0x5ee58754, 0x36bbad44,
+    0x032b721a, 0xd2fd6afd, 0xfeb785f2, 0xd8b54c99, 0xc339323c, 0x4ed12589, 0x5454d6e6, 0x6b323e10,
+    0xb3b7c49f, 0xe2bf99b8, 0xfa726825, 0xa1d3635c, 0xbb3deea9, 0x556deacf, 0x91f6c039, 0x4272bd3e,
+    0x6ed22054, 0xa68277ac, 0x28edbebe, 0x6f4478d8, 0x5a30d377, 0xc7aa78b7, 0xdcaf4d55, 0x6e57050b,
+    0x44063150, 0xa8045ee4, 0xc502b3ac, 0xbf5a1a81, 0x16832318, 0x3306e886, 0x79219cba, 0x90073126,
+    0x9bbf7b1c, 0xf5726061, 0xc9738437, 0x1c65a4d3, 0x28dbccba, 0x0075f169, 0x9d95c3c2, 0x1b16c6e6,
+    0x77df1386, 0xf2a3bc90, 0xec2c825c, 0x50b9842a, 0xbb83aa65, 0xea482b4e, 0x85d6aaeb, 0x2da274b6,
+    0xa905dcfb, 0x56e70ad8, 0xcdeabe46, 0xfe80d178, 0x06a811a7, 0xf1893eec, 0x533ac562, 0xbef2a31d,
+    0x421279c2, 0x31e52e9e, 0x0ac15abc, 0x74d4839c, 0xe6432194, 0x0770edc4, 0x13a039ed, 0x1913c400,
+    0x822b110a, 0xcabfa242, 0xe9770d5b, 0xb4d3de1e, 0x9c42550a, 0x6347ecf3, 0xe4b41fcf, 0xb11b00c8,
+    0xe6361248, 0x8ab84a89, 0x40a21f17, 0x4d07337a, 0x31fbbe17, 0xd8f14237, 0x312998f4, 0xa0074670,
+    0x12dbd304, 0xb0fb19db, 0xc8b0a325, 0xc7268db9, 0x851f064f, 0xfd376240, 0x8d5e8ad2, 0xe9ff0a61,
+    0x00000000,
+    0x65b157f7, 0x36bf6d33, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000001461501637330902918203684832716283019655932542976 */
+  { 0x00000000,
+    0xfd8a0416, 0xb090738d, 0x7ab9b4dc, 0xb3443b04, 0x502363e5, 0x1b3d9c99, 0xaadd665c, 0xa2af4587,
+    0x11254981, 0xb1b0e0b4, 0xb059b23e, 0xd87add9b, 0x0e4dffb8, 0x6be9af16, 0xe1b0c5d9, 0xb931fcd3,
+    0x94c02637, 0x1048e0d1, 0xc67c8a4a, 0xb0bd3b56, 0x98bc0be1, 0x354b9ec2, 0x744f00c0, 0x064f9e12,
+    0xcdebfd9e, 0xa21bb2f9, 0x64b68056, 0x6e69570d, 0x895935be, 0x99fbab5f, 0x5a69c609, 0x11d8f73f,
+    0xc2c88914, 0x29630e01, 0xb8942f6e, 0x9bc1b15b, 0xa068ad1e, 0x2ea46956, 0x35a120a1, 0x60ff0475,
+    0xe423fb7e, 0xf87332cd, 0x3c517cfa, 0xd5dd9ac0, 0xa89e49d6, 0xe8ce6045, 0x2a111a6d, 0xe6eea25f,
+    0x6f40ea50, 0x5f69db69, 0x32be9049, 0xdb53edd7, 0xaa6750de, 0xc3364a33, 0x0ab495ca, 0x90f1922d,
+    0x5e269aec, 0x2a8b1028, 0x5f4fcf0c, 0x9b4f1afb, 0xe3d258be, 0xba75db1f, 0x42db14c7, 0x7431297f,
+    0x4482151a, 0x3017918f, 0x25ae6d45, 0x9f374b8d, 0x787ad434, 0x8cf48d68, 0xf5409d3f, 0x22d6fc5c,
+    0x360572d1, 0x890300a1, 0x3d0662ae, 0xf4437aeb, 0x89f6ca6c, 0xc6a54750, 0x0a5b3dfd, 0xc758ab84,
+    0x47dd1aa3, 0x94eaca2b, 0xafc33800, 0xf0ba7a1f, 0x1ee0047d, 0x1f81a0c2, 0x3aa73b8b, 0xfa13c543,
+    0x85b41ce1, 0x66c05971, 0x767de7ca, 0x26f6218c, 0x60960eaa, 0x6cf4bd4b, 0x0e230e12, 0x37ef3571,
+    0xc7a6d75d, 0x1d64d539, 0xa50fc856, 0xf3b89ca2, 0x3517d2ee, 0xf93d4c77, 0x32598c7b, 0xb0ac0661,
+    0xe078296e, 0x6510943d, 0x5438f0e2, 0x40d2cbf3, 0xd3ddcdde, 0x7dbb3d71, 0x8badf960, 0xfd985177,
+    0x8f372948, 0xf28e69d2, 0x4c560818, 0x54804e75, 0xea90af95, 0x46223c62, 0xcc512d00, 0xee8ac3f4,
+    0x43f60292, 0x2dbd1a85, 0xff17a143, 0x7266dd44, 0x6c2395bd, 0x7aa30eb3, 0xeb7eae38, 0x4297e326,
+    0xd61de63c, 0xd3acb980, 0x8621898b, 0x9fc32ed0, 0x9da1c08a, 0x900f112c, 0x4ad6d53c, 0xbeaf08b5,
+    0xbbc62f83, 0x5e211c6a, 0x3d285f5a, 0x661401ec, 0x264d8523, 0x502f3f28, 0xf8a753f7, 0xe3cfde81,
+    0x9bfe854a, 0xae44d7b4, 0xebbaf1b6, 0xfc1214f1, 0xed077e99, 0xa960743e, 0xb83e23bd, 0x19414f3f,
+    0x5db2000d, 0x5731cbf6, 0x8b263363, 0x45bc1ce5, 0xec90db86, 0x9544cafb, 0x4a4354c3, 0x73d08da9,
+    0xf3ef4eb2, 0x35f08533, 0xba46ff2e, 0x60e5ff5b, 0xa02e8cfd, 0x0718bfe7, 0x2f02a454, 0x7c95dd20,
+    0x0f7878c8, 0xcc1aa22f, 0xfb5171c0, 0x729eb8ba, 0x25ad48d4, 0xe3182e93, 0x5ebefb12, 0xffa04c86,
+    0x30eee54b, 0x7caff09e, 0x15def189, 0xda4fa92d, 0x9ec827ca, 0x3f70d193, 0xdfda920d, 0xc10743bd,
+    0x163af134, 0xb4d62c33, 0xf33f9b7a, 0x1cd433e1, 0x77cfd619, 0x1a43335e, 0x3b5bb28e, 0x88bc97bc,
+    0xadc831e5, 0x82e80497, 0xf9a594fd, 0xad2f871c, 0xcd868476, 0x6a9870a4, 0x99cc979a, 0xb2998547,
+    0x4f1a592e, 0xcae38ae4, 0x92a3a5fe, 0xfc394fa7, 0xb911c8a6, 0xd23124cc, 0xc25279d3, 0x976aa658,
+    0x2568c6b3, 0xf5586c6f, 0xd720c196, 0x07df0fb1, 0x1d4f9736, 0x813f3d73, 0x61ccb732, 0x54901f75,
+    0xd3b84658, 0x2d2ae1a4, 0x0d6ab617, 0x7c6f318a, 0x79df37b8, 0xe51b8b64, 0xed24dbed, 0xf00dc337,
+    0x39e929a7, 0x32f99f9f, 0x63e33925, 0xb5053b7e, 0x0b6a0d0e, 0x55a41d3c, 0x76433092, 0x5e68648d,
+    0xac2f75b9, 0xc05f1d56, 0xa9d3ab0b, 0x9b3deda7, 0x8c133ddf, 0x7705f003, 0x0db96260, 0xf0ccbb55,
+    0x63ca8d3a, 0x91833029, 0x4e57b8ee, 0x89e486cc, 0x300c16ba, 0xd0868b0d, 0xadb48089, 0x0786b459,
+    0x8eb462d8, 0xe41595da, 0x97def173, 0x3bc2b6bb, 0x74c6e9e5, 0xb998213a, 0x9c11f603, 0x4fc958ee,
+    0xde833a64, 0x8fa09f98, 0x3ce224cd, 0xa5f6d33e, 0x73cca224, 0x2865f694, 0x0d30d6d1, 0x0036c8da,
+    0xa5b47e35, 0x70d47517, 0xc3a0a3f3, 0xcfcc45fa, 0x1d206b52, 0xa15ede9e, 0x9fcb5664, 0xa6557eed,
+    0x9a7de9fb, 0x3de8363e, 0xd96218f2, 0x2fcce948, 0x1276f661, 0xb95f4c3e, 0xd44ce1cf, 0x2626b34f,
+    0x9858f7c6, 0x463dc0fe, 0x50c2cdc5, 0xad91ac9a, 0xbb3c36e5, 0x88161560, 0x26f9bb10, 0x1fb23f1b,
+    0xddb83308, 0x2bfa46c9, 0x7e651a01, 0x05e15040, 0xa8f3316f, 0x2bade845, 0x9f242e5e, 0x29e4bfbd,
+    0x86355ec1, 0xdfb16e69, 0xc3298053, 0x5efbed8d, 0xef0258e9, 0x6cc0fcbc, 0x8a3a7357, 0x6f96cea2,
+    0x9b237643, 0x80571ab7, 0x9a4fd08d, 0x0a5f932b, 0x0f1a4a4d, 0x4b640368, 0x023074a4, 0x0607f76f,
+    0xc504f532, 0xdd6f1e0f, 0x70ca3504, 0x3c81a376, 0xeb3b64b5, 0xf9a538d0, 0x52076fa1, 0x10caa316,
+    0x4f8d5dac, 0x49d06530, 0x504e4ce9, 0x8d505df3, 0x9a297892, 0x49b61843, 0xba0de802, 0xc321471c,
+    0x5229afc1, 0x20ba78c1, 0x3462e3c0, 0x17aa037c, 0xcb19f3c1, 0xa66524e4, 0x11ce27ff, 0xc9999f82,
+    0x1310965e, 0x7f9e400f, 0x5b2342c4, 0xe93bb787, 0xf5c21f9f, 0x42aea3de, 0x9b07d93f, 0xf6cd64f1,
+    0xd088ee44, 0x1425dc8f, 0x4afbbd88, 0x44d796b9, 0xa2ed678d, 0x2633a2ef, 0x502bd35a, 0x08548982,
+    0xee1ff04c, 0x76ff0abb, 0xeeaa3d55, 0x227c85fe, 0x0060b3d4, 0x08c25ecf, 0x913b7869, 0x99a7fc41,
+    0xb88aa851, 0x73f449d7, 0xdb225697, 0xcacb4d0a, 0xe58c167f, 0x9400522b, 0xe3b183f1, 0xd6ffa44c,
+    0x38eb244c, 0x8b6c9a71, 0xc0306365, 0x4f7f7220, 0x302cbcd9, 0xf0643a99, 0xd1a3c3e3, 0xa4ab9760,
+    0x3a88bd63, 0xc111aa01, 0xfb247647, 0xa4318158, 0x4d00e5ed, 0x22d07b6c, 0xd3f48d6d, 0x84f25d99,
+    0x590b1b66, 0x03bdd25c, 0x82e47010, 0xc8f03436, 0xf93d54b2, 0xce7d9913, 0x84067326, 0x39374bea,
+    0xed681421, 0x1f628e9b, 0x0c5404cb, 0x546fe3af, 0x3d0bea93, 0xa7878dc4, 0x29105061, 0xe756373b,
+    0xc8158019, 0x0f19daee, 0xec5499e9, 0x41c36d04, 0x074c1f92, 0x670b2a2d, 0x4e1b638c, 0x3295bda4,
+    0xbf51ed79, 0x4dae7a19, 0x2fb5e313, 0x293d02d4, 0x244d65e0, 0x7100c9b1, 0x4eca95f3, 0xf6957618,
+    0x2536c7a9, 0x1b2db777, 0xf713731c, 0x17dd5a4a, 0x996473fa, 0x3e8c1c99, 0xb88c405b, 0x8ddc74b6,
+    0xe820d9bb, 0xfe1255fb, 0x2a9f11c6, 0xe3aed988, 0xe7925eb3, 0xe3331f74, 0x1b3e397f, 0x5c33cfab,
+    0x29c8d9f1, 0xe61fae00, 0x9f592cf1, 0x9f314ec9, 0x344b3443, 0x0e3add08, 0x3768c462, 0x7a9b5c54,
+    0xea3fb835, 0x149e33c3, 0x71871b2a, 0x3b27a1f4, 0x5f1e3d50, 0x514550ad, 0x10207161, 0x03af22e0,
+    0x50eef48c, 0x2bda6d61, 0xb89bddc0, 0x6e9bf233, 0xd2a050b5, 0x07c16e60, 0xa1308873, 0x7d74ef7e,
+    0xd0db91cb, 0xcd475f31, 0xd1e0e810, 0x57b072d2, 0x950384ec, 0xb4213fb3, 0x589d2f68, 0x76c5f35c,
+    0x0aba3fa9, 0xa30e6997, 0x2ece487a, 0x8de853ec, 0x0b3a91b5, 0x035e00fb, 0xce25c6e0, 0x7f88a44a,
+    0x647df7cb, 0x32507b18, 0xe34b428a, 0x0e4fb8a2, 0xe45e36e7, 0xf3344102, 0x7332dced, 0x8fe8297c,
+    0xbf9c3c6f, 0x29136973, 0xaa278f80, 0xd4bf80f6, 0xd78775c0, 0x99afa831, 0x3c1da1ff, 0x45a841c6,
+    0xc68fa120, 0xb23383ae, 0xdfa61de2, 0x68cad232, 0x2b68fc5c, 0x88384821, 0x13418d0d, 0xd69ef3ed,
+    0x45525ecf, 0x2b4553ec, 0xb6cc576f, 0xaef8b5c2, 0x21d3829e, 0x0b207d09, 0xb2be50e4, 0x9b0a81c7,
+    0x0ab88847, 0x337eec11, 0x3f33dc4e, 0x5070e00f, 0x92c47c86, 0x630f0f3f, 0x21366d9d, 0xbb0ca7c3,
+    0x40de0d12, 0x99c3ca94, 0xd9d99cb7, 0x357bc5ef, 0x80ab4318, 0x7552631d, 0x5980c5ed, 0x6e7006ee,
+    0xffb0e605, 0xf6468267, 0xa887faa8, 0x02c47c25, 0xe3093fb8, 0x644d5742, 0x341f9bc7, 0x6877e822,
+    0x1ebc04b0, 0x8b543909, 0xbec75e8c, 0x15b29e0d, 0x132e3465, 0xae902bb4, 0x1b9431c5, 0xa767cd9f,
+    0x5283044a, 0x4823e94a, 0x9d014c0c, 0x9c58e8ed, 0x86367e88, 0x318982d2, 0x3df0adb9, 0xb5574bde,
+    0x402ed7c8, 0x6f2b286f, 0xd9989d7c, 0x4e312bbb, 0x396a37e0, 0x0a1a1e6f, 0xd87f92fe, 0x4ca5c44c,
+    0xa5f8fa2b, 0xca66784a, 0xe97bf4c0, 0x20834d17, 0xb249a6c4, 0xbc1b0f10, 0xee3c8966, 0xc8c0424f,
+    0x038188aa, 0x8b42c1ae, 0x78c8b983, 0x08140f29, 0x9312d3ea, 0x7091d520, 0xd1d47866, 0xcacff198,
+    0xb43a41fa, 0x7d401bc7, 0x1ddede67, 0x0faa9127, 0x1aca8a7e, 0x292781c6, 0x39f24e7e, 0xe17e3f9e,
+    0xd41d5d72, 0xedfe0795, 0x97e5eb06, 0x48d9515b, 0xfe9164f4, 0xaea02032, 0xfdb83f8b, 0x20f08846,
+    0x0abe306f, 0xbcc164b9, 0xc6b6a0a4, 0xa4f376bb, 0x69ec80f7, 0x079181f4, 0xbd934d9e, 0x2c9403d0,
+    0xe8318d5c, 0x7b02c651, 0xa0c1a18e, 0x65bb8aa6, 0xf14ee1f4, 0x5c7c8221, 0x75504a49, 0xff275275,
+    0x5d497337, 0x7f7ddfda, 0x5ad629ba, 0xa984df17, 0xfd45d7fb, 0xb6ea738f, 0x9d45000d, 0x3e25eb14,
+    0x23a0da08, 0xc5058786, 0x861f5d7f, 0xf9bea940, 0x07e4d318, 0x61233f49, 0x2cebb768, 0x380507f8,
+    0xf9e79d5c, 0x49319c50, 0xec8bd980, 0x9b077984, 0x91cd3813, 0x434722b3, 0x4c618c4c, 0xe4e40017,
+    0xc246d6ce, 0xaf918ef2, 0x037aed6e, 0x0d8ca08e, 0x3bfa87f8, 0x1affa811, 0x2379d98a, 0xdb300ec1,
+    0xd8040b01, 0x3c70eca5, 0x36860831, 0xdc413d74, 0x9a769135, 0x69070c87, 0xb2690dfb, 0xa86ba4d2,
+    0x565a8ea4, 0x7153fbc8, 0xa7d2e054, 0xc4e77ec0, 0xffbd1f60, 0x31c63cfc, 0xdf4e4f38, 0x363f6e7b,
+    0xf90eb70a, 0xdb5f71cb, 0xe69bf9d9, 0x6a0cfad7, 0x3135ca0b, 0xa22caf98, 0x7bcb81e2, 0x604e7724,
+    0x4eb2fd8c, 0x99f520d3, 0xae864358, 0x32c3a0a8, 0xac3f9c30, 0x2cb1a382, 0x42092680, 0x8b37f462,
+    0x237e4f8c, 0xe6908af1, 0xc7ca118b, 0xb700b3c3, 0x7029d86d, 0x825c7afd, 0x08fc3770, 0x70e3e782,
+    0x8fa0fad0, 0x56f9bad9, 0xe9100eaf, 0xaab54e29, 0xf2fdd8ff, 0x40b41ef5, 0xef6ab9be, 0xe29adfac,
+    0xe5161aae, 0x68572e0c, 0xb483f979, 0xee557c81, 0x12294649, 0x8ade44c9, 0x0a9e72d6, 0x0f0a756a,
+    0xc1423691, 0x6e35c1f6, 0xc337636b, 0x301c4b4a, 0x639d21c5, 0xffa6405a, 0x8816753b, 0x32a34d0c,
+    0xb8dfcefe, 0x1260ed28, 0x72bc0925, 0x2e667c27, 0x03917fbe, 0x6c10bdfa, 0xf65e50c8, 0x161dd225,
+    0x80bf55bc, 0x749c8793, 0xec76c96e, 0x72ef16ee, 0x76fc92c7, 0x201bb785, 0xeb0b5b87, 0xec0e2542,
+    0x5335decd, 0xdc46e863, 0xbafcf2af, 0x87a3c414, 0x1c71b115, 0x391c6b27, 0xb102223a, 0xbe821df5,
+    0x6dc37269, 0xa8ad86e0, 0xbdf22f3f, 0xbe0eacff, 0x0daa541d, 0x4f364580, 0xff7c8351, 0x59e5c76c,
+    0xecebf861, 0x3fc8c49f, 0x74cf4a39, 0x8c2cfb31, 0x7e83b320, 0xe61ce415, 0xfb4aab01, 0x3c1f9707,
+    0x72838bdf, 0x7e5f58cf, 0xe07ee273, 0x4684b59f, 0x35ff37b1, 0xa9d8d201, 0x066e89dd, 0xa5687e9b,
+    0xa177f3cf, 0x2bdace0e, 0x8fa9db25, 0xa36a322f, 0x14f0a695, 0xdf6c15cd, 0xe12a0d23, 0x96166c75,
+    0x90ae139a, 0x27e1c8c6, 0xf71c1fb2, 0xce23241f, 0x030b8ae9, 0xc0e2bd69, 0xe9e0e20a, 0x1fb45a54,
+    0x3887d8af, 0xfe196b8e, 0x847c20b2, 0xbea2ff0f, 0x23b2b9fd, 0x386d4e84, 0xd612d9aa, 0x51fac6d9,
+    0x33f06ad6, 0x6e6aa4af, 0xd85940aa, 0xd3bac8e9, 0xe2a1902f, 0x197906da, 0xc6b87e42, 0x9a78b4e6,
+    0xc41dfd93, 0xe300e439, 0x8e8d5e64, 0x373d2653, 0x58688e22, 0x4d2c0f64, 0x80758fdc, 0x7b976113,
+    0xf635f94d, 0x1a177661, 0x77be8633, 0x4cc89769, 0x05079168, 0xbb9c2eb4, 0x7705907e, 0x406a5104,
+    0xeed0b758, 0x33ebb03f, 0x4b6de630, 0xc43a7029, 0x24f688bd, 0x75716a7e, 0x053f2a50, 0x50364b94,
+    0x14461055, 0x1b252ee4, 0xdeaa0cb3, 0xd42705a3, 0xbbbd1b58, 0xbd7c843b, 0xccc8b8ba, 0x0125973b,
+    0xb8611571, 0x7f9d66c6, 0x6e731b9a, 0xdc17bfb5, 0x187a08c9, 0x18731676, 0x875b04c0, 0x3ac6c8ee,
+    0x44225099, 0x54b18854, 0x2750cf0e, 0xbe41819d, 0x08b92dc9, 0x6e7bc139, 0x7fd6b8a9, 0xf8dc2e05,
+    0x5534b089, 0xafe833a7, 0x9f751b3e, 0x596cb5a7, 0xdb81c0d8, 0x9e321111, 0x841dc42e, 0x629dc104,
+    0x872a0145, 0xa021f8d0, 0xa40bce51, 0x6f2a4e6d, 0x5708335c, 0x74dd139d, 0xa4f331d5, 0xd3224fdf,
+    0x3fc28704, 0x65b18b76, 0x4be0f146, 0x90448012, 0x160f04d7, 0x71169a3e, 0x15c6c249, 0x168d43b2,
+    0xbdb405bd, 0x2875ccee, 0x26f199c6, 0x65533c17, 0x6d8e6ab5, 0x66136275, 0xe6358454, 0xa71029a0,
+    0x781a2fd3, 0x7af08d2b, 0x9b9ebb6b, 0xf893926c, 0xff73f3ec, 0x36d8b200, 0x28fbfe51, 0x27d6e227,
+    0x3d241c88, 0x48c6388e, 0xb99f5f68, 0x27180c96, 0xeaf7bd4b, 0x143cd90f, 0xf635a764, 0x9649dafc,
+    0xace24959, 0xfdc73a16, 0x5c4d2481, 0x27dd7142, 0xbb1c4da4, 0xfe38a680, 0xbdedf6dd, 0x3e4d8867,
+    0x13f556cb, 0x71f3f3e2, 0x53233183, 0x7da4e3f7, 0x24c61655, 0x4ef99c39, 0x713dfd95, 0xdff7b672,
+    0x09075a72, 0x71f4fd9f, 0xe3c1c3de, 0x19159f8a, 0x10bf28a1, 0x62af06d6, 0x694b3482, 0xc6fd02eb,
+    0xdd7a4bc4, 0x0f5f7398, 0x06d27fd9, 0xc1a4ff9b, 0xb1c2e68c, 0xa1daff51, 0x9fde593d, 0xd95d15cc,
+    0x7cc4320d, 0xd64cd510, 0x8942720e, 0x9b5aed51, 0x7ecc4dfc, 0xfb6b6916, 0x85307bb5, 0xbbf0c2d8,
+    0x11ccf45c, 0x3b29b973, 0x6ec73645, 0x1af2af94, 0xf55aea1b, 0xc4cfc53e, 0x69adbcac, 0xc9ad47a7,
+    0x22895d4d, 0x6b71d7f6, 0xeb8daac9, 0x6887cb90, 0x884d3eeb, 0x29504093, 0xc847c099, 0x9aba3ef5,
+    0xf901dfab, 0x6b249b3f, 0x5f39bcce, 0xdbc41cb3, 0x18d9650d, 0x76b382b1, 0xddb4287c, 0x52505540,
+    0x89dc0b81, 0x1fa00fcc, 0x351b9cac, 0xd57d3bf5, 0xc7b47b12, 0xa0716842, 0x0795993a, 0xef11e606,
+    0xe8133417, 0x02869b65, 0xcda8c528, 0x548ecdbc, 0x2e890524, 0x9794d6ee, 0x893b6502, 0xa95b58e8,
+    0x71806629, 0xbb23b505, 0x54fcf627, 0x8775eda6, 0x334bded0, 0x8296ae3d, 0x247553ca, 0xf27c53e0,
+    0x88711772, 0x8ec681fb, 0xf88a90c8, 0x5ba4883b, 0x36f05b6d, 0xfbf7a421, 0x17cec9eb, 0xa755d0ad,
+    0xc1b49633, 0x76257f7d, 0x1f510c57, 0xc02bc1e6, 0xda061ccc, 0x7e129ade, 0x342d86a3, 0x8a0def35,
+    0x2350aeaa, 0xca3d3e56, 0xefb4b82e, 0x857c8dcb, 0xb87bd7f1, 0xcb686296, 0x299aa06a, 0x91d23af6,
+    0x05542fa1, 0x4703fcf9, 0xe8dddada, 0x38cb6355, 0xa8a31e47, 0x9b51a6d8, 0xd62b6124, 0x3fa62778,
+    0xa6664df6, 0x5cc82e7d, 0x5325eff9, 0xcfbbab98, 0xf71c15ca, 0x820db9d2, 0xf03a3b2e, 0x01e76cac,
+    0xdf7a1885, 0x2d9ee58d, 0x4bf01bed, 0x5bca3df2, 0xd449f526, 0xceccd5a3, 0xbaf870a2, 0xad10a8c5,
+    0x00000000,
+    0xb2d8abfb, 0x9b5fb699, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000730750818665451459101842416358141509827966271488 */
+  { 0x00000000,
+    0x88475ca5, 0x73c9bca6, 0x643734ca, 0x57af6971, 0xf68bace8, 0x8dd48ae5, 0x1262b0c7, 0x8eb3d596,
+    0x3eb1cccc, 0x7ceb3681, 0x3b7112ce, 0x28056db6, 0x6f722799, 0x7fda7912, 0x312b662c, 0x952b04fb,
+    0x3b4c6283, 0x616735ec, 0x91d14546, 0x1248a869, 0x31039580, 0x9fec6f23, 0x389c9669, 0xcd711c66,
+    0x87d4d26d, 0xe01e4aa8, 0xffc77699, 0x63f7caf3, 0xae45235c, 0x5de1ab89, 0xac71b476, 0xcc188d85,
+    0x0d11655f, 0xfc3fe8d8, 0xbaba8453, 0x3547c616, 0xb9f16240, 0x4bc967cd, 0xe9d7ee71, 0x58e5988f,
+    0xf634f286, 0x2348b91d, 0x98587e2b, 0x9325280d, 0xea9a0bd3, 0xa07592e8, 0x8084b51b, 0x325c530c,
+    0xe8add849, 0xdea5aadd, 0xe1effabe, 0x4101d59c, 0xc6e06a1c, 0x98ba0f87, 0xfd651fc5, 0x117962af,
+    0x880957a6, 0x9fdc4da0, 0x74462da0, 0x452e64af, 0xdf496ea0, 0x6c7b50bb, 0x3e6cc754, 0x8335a71c,
+    0x16c584dd, 0x0ef7cb56, 0xdd810f55, 0xeedc80dd, 0x84cf0a1b, 0xabf81541, 0xf3ca190f, 0xd7fd26ad,
+    0x8e41390b, 0xdca7b7bc, 0x7c0da8ee, 0x87632f38, 0x06050c31, 0xc4e539c8, 0xbd67aabe, 0xb14bc96a,
+    0xb4450a26, 0xa85e2321, 0xad80f823, 0x7b368f88, 0x4d9bce5e, 0x46f962ee, 0x67482a7e, 0x426f3759,
+    0x74b7ffbf, 0xc571b3e5, 0x6a4c5933, 0x46deb1db, 0x6f111b2d, 0x1f68d2fe, 0xbbc72133, 0x63fda4c9,
+    0x0c8d9921, 0x6fcc39d3, 0x92a79803, 0x96c14dc8, 0xebd33a4e, 0xe31e3881, 0x605a693e, 0xb2d005ba,
+    0x90c4f94f, 0xf4df5096, 0xf42df0ef, 0x599d082e, 0x4d9870d0, 0xf7411b48, 0x19657659, 0x1978ee63,
+    0x85830f6b, 0xa4916643, 0x0edbf362, 0x2898cc2c, 0x54cd9782, 0x2b54bf94, 0x5a65d839, 0xd93ea623,
+    0xb06c9d4a, 0x016aed83, 0xee5feda2, 0xe80a4b1c, 0x79c778d9, 0x89bc90ec, 0x692fb7f8, 0x6dfc5255,
+    0x1d1bd474, 0xefbb31a7, 0x30d25cc1, 0x61edfaf5, 0xf032b49b, 0xaadf8483, 0xadc00a0c, 0xfcc8eb77,
+    0x2fb62feb, 0xa920b1c6, 0x544e753e, 0x0777bb27, 0x36967e14, 0x22844ac8, 0x7bb6d550, 0x486dfc33,
+    0xe517aa6f, 0xfa889898, 0xe483f411, 0x04eb5fa1, 0x4178f7f2, 0x464e3631, 0x23a2e9e9, 0xc6f48180,
+    0x670e97b1, 0xb16debf7, 0x36549473, 0xc27107a5, 0x0e9ea115, 0x226d517a, 0x2eb09345, 0xcf343fbf,
+    0x2ec7ff50, 0x27ed9f22, 0x6f812f6f, 0x9b26d6f5, 0xcb2a9f3d, 0x40801db8, 0x9bc2cf98, 0x065dd895,
+    0xf84a4a93, 0xeb1baeec, 0xf717e3d7, 0x4bde75b0, 0x8d999622, 0xcc23a1e9, 0x462b433c, 0x092262f1,
+    0xec1b1f08, 0xca3bf4a0, 0x317e7628, 0x8672a3da, 0x125c5dc3, 0xf986db33, 0x720a6bd9, 0xc4daea75,
+    0x4ad80fa5, 0xa71b77eb, 0xcc9f2425, 0xb7603ad1, 0x9cabecf3, 0xdbe75bad, 0xc6a6a664, 0x1758f3ab,
+    0x636d6580, 0x45d9edbc, 0x4e1138d0, 0xf1bbadc3, 0x1204466c, 0x75421287, 0xe4ce0466, 0xf15db816,
+    0x8017fbff, 0x67bef7fd, 0x28994b2a, 0x364d9f37, 0x769b8507, 0xa2c85398, 0x8293cf8b, 0x750fa1f4,
+    0xe890eab2, 0x7f679320, 0x9a48fa72, 0xa7bf6581, 0xccc262e9, 0x9313c96e, 0xe7c6c4af, 0xdc70650f,
+    0x1fd87536, 0xbf034b07, 0xcd4e3e5b, 0x288f79ed, 0x436497cc, 0x736a7398, 0xd51477fa, 0x1c310912,
+    0x192a7279, 0x3e94188e, 0x7b3a0ad7, 0x9ad989c4, 0x1765a27c, 0x190afeed, 0xccedba0c, 0x350b713a,
+    0xae808597, 0xaab56515, 0x9a7af69b, 0xec9023cf, 0x41c365ef, 0xbe4b7799, 0x267ef11a, 0x0914b0ca,
+    0x359fd1c6, 0xced6eada, 0x6d4a5b76, 0xa2ea4ef3, 0x256bbdbe, 0x4d30354f, 0xc9873d27, 0x80158f3e,
+    0xefec68f1, 0xae4ebb98, 0xdf9a94a6, 0xac52f164, 0x6b719280, 0xfffeba32, 0x32cccda8, 0x165e7422,
+    0x252211b9, 0xbd066669, 0x2214fb8d, 0xe238296c, 0x006a0d57, 0x72835f96, 0x2129d324, 0x2bfba968,
+    0x717da497, 0xd8e0d34a, 0x4d1a7f80, 0x45560ef4, 0x0aa7641e, 0x2939f336, 0x49f63e19, 0xe20537d8,
+    0x4e95b83a, 0xfbb3b717, 0x28ed78bd, 0x64c1aa52, 0x55b0380c, 0x68af2f4b, 0x7958bfb9, 0x270e8506,
+    0x51956aeb, 0x5ec362f9, 0x708a943d, 0x9442cff6, 0xd4deff1c, 0x5d7601e6, 0x763d4d7f, 0x35f18cb7,
+    0xf81e73e4, 0xcb3a9c57, 0xc47ab9f8, 0x8098a725, 0xaba62315, 0xb4a478da, 0x4184b61c, 0x2957e888,
+    0x842f9edf, 0x4ef849ae, 0x4bc29e3d, 0xe3c546f7, 0x4aa88d09, 0x8f88d8fe, 0x155432e8, 0xc767c5ca,
+    0x5945cf45, 0x7f4e0e85, 0xec5346f8, 0x5de75634, 0x857eb786, 0xab57a6e7, 0xbc78e048, 0x59954c6c,
+    0xbc5153d8, 0xbcf9107c, 0x181d2368, 0xf1a0a94f, 0x6e6db38a, 0x019bc728, 0x8d778848, 0x3bb0655c,
+    0x3c3fda2e, 0xfc772908, 0x96164156, 0xac960079, 0x530f9797, 0x2b7075fd, 0xe3f0190d, 0xad2b0fd2,
+    0x8913a13e, 0x342505e5, 0x841583b9, 0x676a2981, 0x5f68673e, 0xe11c433c, 0xf254fdef, 0xfa6d1aa8,
+    0xb5cc6620, 0xaa75f273, 0x54e1fb0c, 0xbd50f38a, 0x736925fc, 0x4dfadf46, 0x1a4c0d86, 0xd7655ef0,
+    0x38ff2aa7, 0x68acd9fc, 0xcb61a11b, 0x5b9fbab1, 0xb45e4704, 0xc4f7c425, 0xc1dc5210, 0x52665753,
+    0x60f91a35, 0x58e42238, 0x10151f13, 0x3a07074d, 0x8197db9a, 0xa302f276, 0xa7ceedfb, 0x64264626,
+    0xf75da481, 0x2fd39497, 0x0ea0081e, 0x8b72da7e, 0xca865b19, 0x4b1b35c0, 0xf8643ca1, 0x08f4afd8,
+    0xc91cec66, 0xe2eee435, 0xff92fc55, 0x3b3ffe27, 0x6e908764, 0xf7b504f9, 0x2eed7ed5, 0xf4116a7e,
+    0x99de6f50, 0xa3cf09c9, 0x47702350, 0xace9f7dc, 0x28d59d71, 0x14f10c69, 0xb63e18bd, 0xc0311e10,
+    0x9141e8ef, 0x308dd193, 0xf337ad9f, 0x6f1eed0d, 0x1cc8e670, 0x02757b81, 0xf1b88181, 0xf4869629,
+    0x6d92c5ad, 0x0dba73b7, 0x927dd15b, 0xdfa665af, 0xdb2ec5ca, 0x3256e1eb, 0xab426173, 0x41e9ea29,
+    0xb5d1617a, 0x11c9f034, 0x151f0f91, 0xcf2dd8b1, 0x4edbf815, 0x0f8cb258, 0x00306a89, 0x1798c793,
+    0x1cd68112, 0xccb6abfd, 0xf3eca8b2, 0x9f161bcd, 0x3e997bda, 0x913d7a38, 0x444408f8, 0x03874956,
+    0x69c58b44, 0xcc03efda, 0x24f68128, 0xc03c88b8, 0xf81946df, 0x1d12e71b, 0xf174329d, 0x1ab23412,
+    0x8b51bcb6, 0x8f407ab5, 0x290c401d, 0x803f1091, 0xe2d784f4, 0x016d57e5, 0x039a481a, 0xeaddb92b,
+    0xd42b3464, 0x36838c1f, 0x49cd9c63, 0x6ff5ed82, 0x654af2da, 0x0837d29f, 0x37874185, 0x0ada0427,
+    0x49f781db, 0x78051582, 0x9ee0b15c, 0xaafa1746, 0x06a37e57, 0xb35ce27a, 0x9cfb81b3, 0xd3baec54,
+    0xf4166eab, 0x97d8e26c, 0xb71bdb2d, 0xd60e8d3d, 0x34eff6f6, 0x36c3c137, 0x652efcb4, 0x0a9108a1,
+    0x2ae129aa, 0x1effbb13, 0x1f5aa5a5, 0x1fb881fe, 0x0b32d685, 0xe3d04f33, 0x22169c23, 0x5f292983,
+    0x4e218109, 0x1331b886, 0x56df05de, 0xd2ab2366, 0x95b8f0d8, 0x46a57d70, 0x87179753, 0x56529430,
+    0x27d4d4c9, 0xac836e82, 0x8f04d764, 0x96edd14f, 0x158846b5, 0x03619768, 0x47b5bcfc, 0x210603b3,
+    0x15ee9669, 0xc752bc7d, 0xcf3c5d9a, 0x519e9571, 0xaeb453da, 0xfea46570, 0x3450f95b, 0x7c99ffcd,
+    0x2c4d5295, 0x52bc8e6c, 0x11a9413f, 0x03aa7865, 0x0a6dc5a9, 0x97f299d0, 0x256dfc42, 0x7c9e9770,
+    0xc9086909, 0xcf1498bc, 0x71182810, 0x87ce9f7d, 0xbfb7792f, 0xe304bc30, 0x132f974d, 0xbee1e1fc,
+    0x479b291a, 0x25ddc95e, 0x6114dc7a, 0x327018e9, 0x3f5eefae, 0xce4ed0ad, 0xef04dcaf, 0x65723679,
+    0x48f2b2ea, 0xe65caa92, 0x316e8adc, 0x9bd34b3a, 0x7a3410b7, 0xb1f0c15e, 0xa7759947, 0xf58aac4a,
+    0x27c0f831, 0xa190fe15, 0xbad246a3, 0xfa9fc6ad, 0xa6dfa27b, 0x18028749, 0x959e45f6, 0xfb45cdee,
+    0x042420cf, 0xa6f5757e, 0x5a1256c2, 0x170e7cd2, 0xbf7cb0a5, 0x8ec7d526, 0xe45ac517, 0x2e6f05d5,
+    0x6368d417, 0xf4942f8e, 0xef9b4be1, 0xae41e273, 0x3afa921f, 0x65c1e814, 0xe433b012, 0x2b4def93,
+    0xd070828c, 0x4c869b14, 0xf90afc97, 0x7aeed7dd, 0x391f5997, 0x17afe8a5, 0xb80d3af2, 0x76e742ba,
+    0x2d44d25d, 0x1d4ea6fd, 0x08b0038c, 0xa67b78a5, 0x26f8c939, 0xce9c00e2, 0x885d6035, 0xbcecfbc1,
+    0x17a291c3, 0xb0a0d07c, 0xe1f58c13, 0x2ecf7db9, 0x55c51a92, 0x6bd6a672, 0xe7fb8ac4, 0x74438bca,
+    0xa5c6c5b6, 0x2915e54a, 0x8883ff2c, 0x1c6ec2be, 0xabd62c26, 0xf0db0add, 0x5f33480c, 0x2fe9dd5b,
+    0x2ba695ed, 0x8fc289da, 0x32fdbc18, 0x1997c0f9, 0x54ff93a7, 0xd510343e, 0x7536aa56, 0x3741c01c,
+    0x1aeadef6, 0x1788cd2c, 0xf90a5188, 0x1391e32c, 0x8b03e0fd, 0xe85bd662, 0x2fdcab4d, 0xda42544e,
+    0x4df6b064, 0x36db2b30, 0xc69ff168, 0xabf49a32, 0x7cf0d4dc, 0x5398681f, 0xc45fd440, 0xd423e95d,
+    0x9d7f5258, 0xfa015dd4, 0xfaead791, 0x624fe11f, 0x8d392c51, 0xcc45eaa5, 0x6be932d0, 0xc0ecdc1c,
+    0x6c3c7386, 0xfbf4adb9, 0x6651db59, 0x002385cc, 0x6cd84733, 0xb665f1f3, 0x18aacbec, 0x0c87e46a,
+    0x972b2427, 0x7089848d, 0xa095dbff, 0x0b27b092, 0xc50cc038, 0xd50b06c4, 0x7ac0531c, 0x886a6dc3,
+    0xd79d92f8, 0xb0d1c58c, 0x23fdb010, 0x5c2cb4c4, 0x9baf7341, 0x934d90a5, 0xf0ffb85d, 0x7b226ed8,
+    0x688cc737, 0xb1710959, 0xd2d9c884, 0x80e0fe9f, 0x15e2da64, 0x1f5c6fcc, 0x9de24d86, 0x3403a057,
+    0xff7674a0, 0xe8724721, 0x9a8df520, 0x31991ac6, 0x9d7e578d, 0x09a2ad87, 0x9a330ce4, 0x8a4ced69,
+    0xdf5f62b5, 0x77825679, 0x2b40f287, 0x34d5b8ae, 0x69649174, 0x2103de81, 0x3c3fa8bc, 0x1e9dc9e8,
+    0x79e507c6, 0x5cfaa26d, 0xb95e12a0, 0x242ef730, 0xfbca9bbf, 0x0904437f, 0xe4879960, 0x3a504079,
+    0xe96d4bb8, 0x014d0b3e, 0x29eb4280, 0x7dd72018, 0xe474031e, 0x97fce0e1, 0x0ab3048f, 0x0f03f870,
+    0xc7e7a282, 0xfcd3a760, 0x34974fd8, 0x1e12738c, 0x975445d9, 0xa079c0d2, 0xf5cc0d6e, 0x2f5e2ccc,
+    0x728e1ddb, 0x9253ac45, 0xf4648124, 0xe4fcc36a, 0x24fa473b, 0xf6e202d5, 0xcb4d2a96, 0x9a992024,
+    0x3db19f1f, 0xaeb361bc, 0x03faade3, 0xf70bfad4, 0x920603bc, 0x6f86c644, 0xb186bff4, 0x502a90e1,
+    0x32e25d7f, 0x9e533f9c, 0x7c816ec5, 0x6bc7ff62, 0xa083704c, 0xebf840d4, 0xb37c5967, 0xa7b6d8f1,
+    0xa7547295, 0x7157d627, 0xeebcc01e, 0xc4bc74ab, 0xe4c6c640, 0x3b73307e, 0xc96f3b77, 0xfb962e39,
+    0x341c14cd, 0x7db025f8, 0xde52ae9b, 0x76945d9e, 0xd041f2ac, 0x35963d74, 0xdce4e77e, 0xd5333ed6,
+    0xc7700595, 0xfd5ff841, 0x0f82ddff, 0x13caefac, 0x706753e7, 0x5b97fef4, 0xdcf52eb4, 0x56d02dff,
+    0xdf7f8484, 0x1bd64f6d, 0x4c983cd6, 0xfc13da82, 0x94d1cd8a, 0x6a40c874, 0x40d258fe, 0x914b2a7f,
+    0xd9b3a469, 0x01d7ba84, 0xd54a2bbd, 0xec800083, 0x60d9f1ff, 0x7b560e6f, 0xa658cf94, 0x4d507c3b,
+    0xe663ddb9, 0xbedccd5c, 0xcc55f1dd, 0x14b3eaa2, 0x5de28093, 0xa7ce4e69, 0x5e5caad4, 0x64ec9066,
+    0x8e282647, 0x5105a286, 0x4fcddd68, 0xa75d03e1, 0x26105b9e, 0xe41c77a8, 0xa5661833, 0xd2ffab8c,
+    0xa1acae90, 0xad80c782, 0xe17be798, 0xb07c85df, 0x821aba43, 0x86787795, 0xa2dda3fe, 0x005966ed,
+    0xaee5a710, 0x62bd31c7, 0xc3525fbd, 0x50b2c256, 0x7cf25c79, 0xa8e3673d, 0x794d153c, 0xfc3ff245,
+    0xfd0c5f24, 0x8323bd3f, 0x443be1bd, 0xd883e6fa, 0xe49dcd39, 0x7db23e81, 0x843fd1cd, 0x3313290e,
+    0xda5c6a37, 0x9480bf04, 0x28412b04, 0xa37f9b2c, 0x6876cb58, 0xa12aaa65, 0xf599f7c6, 0x6b78c1cc,
+    0x350ae097, 0x4b6cf4dc, 0xb20c70cd, 0x00bcf8a0, 0xf17a2b32, 0x76637015, 0x694bb96d, 0x13ac570f,
+    0xe7421b64, 0x836442b8, 0xd2e08696, 0xb56c74ed, 0xd1a0def6, 0x62add2cc, 0x149eed72, 0x4ee22141,
+    0x9ffedaea, 0x621276cb, 0x382fdf6e, 0x0b75d60c, 0x0fd01413, 0xeae0646a, 0x8a02aad4, 0xf399dbdc,
+    0xc745d698, 0xc5681273, 0x07c8e624, 0xf3dee882, 0x3c1a5d4d, 0x18132567, 0x38b7bcfd, 0x77a894a7,
+    0xaaf19c7b, 0x45f3fcb7, 0xe8401f0a, 0xa138b40c, 0x182df26f, 0x58659fd0, 0x38e7db91, 0x4673f31a,
+    0x9d4e246f, 0xe4054954, 0x309f7cfb, 0xd6765ae9, 0x133d9029, 0x77781f57, 0x89102f19, 0x81cd9e95,
+    0x07e4e8e7, 0x58aa64a9, 0x85e002e4, 0x5967083e, 0x9f8edaba, 0x1b4138b9, 0xc4e639e2, 0xff87e1ff,
+    0xea4ccb7d, 0x8bc343bf, 0x1db86162, 0x0c6a8064, 0x7c7134e2, 0xc3532919, 0xb9811964, 0x2dc8b36a,
+    0x3d3cdd32, 0xa2f60320, 0x5f445920, 0x9f1bdfa5, 0x56e8974d, 0x6040d4bc, 0x39fcc0ab, 0x6e622f9c,
+    0xfe790e32, 0x57c69762, 0xb3f2f6c3, 0x5e4c21d9, 0x70e545a7, 0x66fe1324, 0x8fc6ee5a, 0xa2d60d16,
+    0xf404c411, 0x3da0da66, 0x9187dc82, 0x437eaec4, 0x4c78ac4a, 0xdd899d3f, 0x4bd2807e, 0x98e245e9,
+    0xb5b5cb80, 0xd2a82f38, 0x0cc52dbb, 0x7dbd11d2, 0x19516518, 0x8711771a, 0x3465c0df, 0xb81511b2,
+    0x4f61ba55, 0xf8b6b921, 0x4bfff008, 0x32aaf875, 0x7eb286f8, 0xaa2f9ab0, 0xd1dd021e, 0x6bd2646f,
+    0x2f8b8984, 0x34298dbb, 0xd23430eb, 0x320b71ca, 0x0856e3fc, 0xadcb2706, 0x38eb52b9, 0x61f10061,
+    0xeeb85fe2, 0xd33fcf1b, 0xd62ded9d, 0x9a2d6fa2, 0xefac181a, 0xaa96f99d, 0xe55d9542, 0xd414f11d,
+    0xa225b9f2, 0xb88dfdf2, 0x84e56633, 0x0f50da6e, 0x3f2a4a6e, 0x68c59078, 0x8a9092b8, 0xd712ed64,
+    0x1d55aa69, 0xe1add8fb, 0x6b0c8d8d, 0x76bb808b, 0xbfd45d65, 0x6e2a1f78, 0xf8265728, 0x1463fdd3,
+    0xea153e8c, 0x4fd20554, 0x400c6805, 0xbcd03ca0, 0x9c9cebaf, 0x5d76e2c7, 0xc5e63576, 0xb57f5b35,
+    0x1843ecd3, 0xfe358987, 0xf27f4dc4, 0x6268e3d2, 0xdb8d20d3, 0xd40ad780, 0x938f737e, 0xfc6b2e08,
+    0x66383d05, 0x2fd0698f, 0x258f21aa, 0x21513da5, 0xf06870f6, 0x3d677cab, 0xb08ca776, 0x5021da12,
+    0xec0b94e4, 0xb44d5355, 0x4f4e85b1, 0x35c47144, 0x25147303, 0x921c3e98, 0x11ae94d4, 0x0dfab176,
+    0xd7a07f7e, 0x8a86c174, 0x3ca2ddcd, 0xcf332e9f, 0x57456b74, 0xce71d816, 0x66385401, 0x19ee5d57,
+    0xe9919393, 0xdd63f36a, 0x96017979, 0x3a9eb25a, 0xd7db986a, 0x800c63e0, 0x05aacd6c, 0xcfb909c0,
+    0xc28efb29, 0xd080cea6, 0x73899fba, 0x0d2fb72e, 0xa157c1ab, 0x74fea8d9, 0x095d7708, 0x4df39354,
+    0x97994aa3, 0x0c0d5cac, 0xdbc662a6, 0xd98472bc, 0xf9458107, 0x74126937, 0xd97ff70d, 0xd6d4b4d2,
+    0xcbc73f2b, 0x793f7cac, 0x3f98bf18, 0xe978657c, 0x6387e9fc, 0x802436e2, 0x9597d20a, 0x0aff0d04,
+    0x19a7aaeb, 0x3f2556ae, 0x69241059, 0xad5c2214, 0x6b65a7ea, 0x61fd2063, 0x036d7ad2, 0x94d62a91,
+    0x00000000,
+    0xd96c55fd, 0x4dafdb4c, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000365375409332725729550921208179070754913983135744 */
+  { 0x00000000,
+    0x1380fd4e, 0x87ed72f6, 0x847df79c, 0x8ac44be8, 0x04348a05, 0x36e56b6a, 0x36f53d18, 0xcad75e3a,
+    0xbc4fbd67, 0x8455c135, 0x519ffb1c, 0x8e038556, 0x83017349, 0x35f6280e, 0x7caa5f9a, 0xb4cb177b,
+    0xccc575b1, 0xabd0ac11, 0x4d345ab1, 0x78497dc5, 0xd3ddcbb7, 0x7095fb31, 0x0648093c, 0x410f228f,
+    0x9a724b9f, 0x59a7f310, 0xbbe8f7a1, 0x5b189886, 0x1b1ffca8, 0x09ebc45b, 0x0985bb42, 0x96e47d10,
+    0x09fe7572, 0x81dab5ba, 0x58544cad, 0x1e0f4d51, 0xd18d9de2, 0x4f4769d8, 0x8468c432, 0xe113c478,
+    0x9407fdf3, 0x59b5ae19, 0x7464feeb, 0x2d0bc6da, 0x691e3213, 0x9348522e, 0x39663af3, 0xdda648e0,
+    0x0a69cf39, 0xdee51b00, 0x8a6ef41c, 0xb16698d0, 0xc7718baa, 0xddef91fa, 0xf8e3c0dc, 0x7c496fa7,
+    0xdb36cce9, 0x83571cbf, 0x0a09196b, 0x926bc339, 0xc1998134, 0xb4f7165a, 0x635f20e9, 0x2002c655,
+    0xb7189b18, 0xda11b7d7, 0x4fa8da79, 0xd36ecea1, 0x2962466c, 0xcf4c367d, 0xc0aadae2, 0xb1347390,
+    0x98444ce4, 0x23399f58, 0x697aa746, 0xa986724a, 0x94230aa9, 0x166f17b1, 0x299d487a, 0xdabd1666,
+    0x8e207781, 0xd695126e, 0x25235881, 0x92f5daad, 0xfa2c938e, 0xbf6879ed, 0xac9e82bc, 0x24ae2a0d,
+    0xd9697ae7, 0x46d9a222, 0x03a5d467, 0xa2367162, 0xf85f6a17, 0xcf87a8db, 0xeae8b0db, 0x4a05832b,
+    0x1f440372, 0xe8462b96, 0x16d2faf1, 0xa290ed75, 0xd2d5819d, 0x40ca5330, 0xa659ed86, 0x5e47fc65,
+    0x622b7a96, 0x63f1742a, 0x8e4cf722, 0x6df16a24, 0x886dd81d, 0xfd6d1111, 0xf7ab4e7e, 0xd03d5278,
+    0xce1cc39b, 0x5c81c3cd, 0xadd5ac44, 0xbd36baf2, 0xecabf5ed, 0x82112e7b, 0x1df1e306, 0xb8f14b8c,
+    0xb65dad17, 0x8a466be7, 0x51e6a0a7, 0x4b211c66, 0x36b868ae, 0xcfe2d677, 0x79b88552, 0x70454a41,
+    0x259a7566, 0xf0a24933, 0xd1438000, 0x63fc9431, 0x5e8a3dbd, 0x46c84eb0, 0xcbd80946, 0xdc63c2f3,
+    0x9423b1a8, 0x5e888c51, 0x3ee463b1, 0x29dbe052, 0x8f28d301, 0x050bc05b, 0x66fa79ae, 0xd33f0dd9,
+    0x01aa5a5b, 0x5eccee26, 0xfe819941, 0xe056062a, 0x44439be2, 0x408fdb9b, 0xa983f46f, 0xed748743,
+    0x8775216c, 0x0164a771, 0x6b7a9749, 0xb6f9b3d4, 0x678212ab, 0xf0529477, 0x5e606afb, 0x860c4313,
+    0x7e791e4c, 0xc05184a2, 0x8163613e, 0x9821de54, 0xcd33c0fb, 0xf9d405cb, 0x404f17f4, 0x068cff53,
+    0xf5b52153, 0xca423b5a, 0x95a37d1e, 0xa01e0a64, 0x5164cf32, 0x0cdaa9b0, 0x4f78babb, 0x4bd675d6,
+    0x9d522250, 0xa2df6c14, 0x8ddf337a, 0xf2a7b707, 0x5c2b7401, 0x33558550, 0x4676ffa8, 0xfc7108b7,
+    0x9895cb68, 0x7d3c5498, 0x8555aaf5, 0x37a6f2fe, 0x4696d6a8, 0x67e4ee17, 0xbca2f3c8, 0xf0dfb395,
+    0xb2072cfe, 0xcff60814, 0x9c7b7010, 0x7896a778, 0xb5829ad6, 0xe6859a73, 0xfbb5ac8a, 0x215155bf,
+    0x9d2fe022, 0x6a8cb157, 0x93fc2987, 0xcf515409, 0xa8c712c6, 0xeb998c1a, 0x46fdc297, 0xe6dff7e3,
+    0x119b5ba3, 0xdf545956, 0x38d2573e, 0x159ef950, 0xfa496051, 0xaf7062c8, 0x57bbb90c, 0x5af74ceb,
+    0x42b2367c, 0x6bf4a6f4, 0xbcfd607d, 0x502c3c3d, 0xf35248b4, 0x1252ed14, 0x7722f649, 0xdcbda86b,
+    0xe9354ff9, 0x10a32419, 0xee2895aa, 0x1d89d7b1, 0x3e3eb264, 0x8e04f11d, 0x97c19789, 0x9bae8bb1,
+    0x6c6b06fe, 0xf9af4683, 0x24428efe, 0xafb6d2bd, 0x2ba0b750, 0x17e78f2d, 0xc60d4018, 0xfcda6105,
+    0xd9ba7b86, 0x3ae6dd0f, 0xa36e6c91, 0x6b42c8f7, 0x3a0a0009, 0x57dd283c, 0x1b8a6363, 0xcda28c3b,
+    0x7f493b60, 0x423d2d7a, 0x9a2833eb, 0x301bb30f, 0xf8c6960e, 0xad47d171, 0xc55f0868, 0x2fa54ab8,
+    0x07f4243f, 0xf344a490, 0xc3638995, 0x25927afc, 0x49ea4c0a, 0xa861afed, 0x27a5ece1, 0x45b76595,
+    0x2b64c79f, 0xe65b8831, 0x4457a566, 0x5334e8d8, 0x4b47db52, 0xadd1ca77, 0xd56ee308, 0xc36e971c,
+    0x62a0af52, 0xe1c0ada9, 0x0cc06ba5, 0x4c4d432b, 0xf9fb690f, 0x13349bce, 0x2a307917, 0x82ef7883,
+    0x174961fb, 0x15b3b493, 0xb179368c, 0x5fe3e3c0, 0x990ca5ec, 0x3169b687, 0x7f269f5b, 0x15f57fa2,
+    0x81d33681, 0xb269b01b, 0x60a18019, 0xc5b7ec58, 0xd72a3b0b, 0x50ee5d8e, 0xd5bba4c1, 0x16e32c34,
+    0xc8a953fd, 0x6862fa5d, 0xe80e79a0, 0x7137cc7d, 0x0fd0dbfc, 0xd1724f67, 0x1ab0b33e, 0x6c7eaa19,
+    0x31c97bc8, 0x622677ce, 0x35ddcda9, 0xc98cf232, 0x05cad119, 0x1c2a4ff5, 0xf4a105c7, 0xa18a0d9b,
+    0x1b055bee, 0xfbfd1595, 0xcda7b990, 0xd043e427, 0x72392c9f, 0x734eb83d, 0x4c1a7595, 0x93f3aa9e,
+    0xe55c2abc, 0x363cc699, 0x805f6e36, 0x1553c12c, 0x66e34f6a, 0xd01d6777, 0x70e6bf21, 0x206571c0,
+    0x03913adc, 0xd6e7aaad, 0x56f7dff5, 0xdd2674a8, 0x9c9e54a3, 0xc140e6c6, 0xda6eb849, 0x5f13b484,
+    0xf682d433, 0x36706f53, 0xbf3eb8b4, 0xd38b3e22, 0x4952f08a, 0x621dd9fb, 0x60c54ead, 0x15263254,
+    0x5de2a03d, 0xfaf5a2f6, 0xe582b7a5, 0xbd6e140a, 0xcd1d4272, 0x8d596111, 0x1c0cee7b, 0xbc216ee5,
+    0x3bf9b1f9, 0xd9111c67, 0x8bf41629, 0xed2e91e4, 0x6e9d4390, 0x8e558130, 0x7801c253, 0x182075da,
+    0x17d6e4e5, 0xec9b8765, 0xac719260, 0x9ce692dc, 0xc4b43c94, 0x817a38a2, 0x1bc9e1b8, 0x7ebf89ce,
+    0x4d49e977, 0x3dc70671, 0x1ef71ef5, 0xe640ee8e, 0x7e86d465, 0xead95490, 0x3f541a2a, 0x9c0791ab,
+    0x1857a85b, 0x11780f52, 0x61b2896e, 0x398851d4, 0x2650893c, 0x37264b9d, 0x08025e7b, 0xcfd1406e,
+    0x686cbb59, 0x819ec6c9, 0x11705bc8, 0xc135e29c, 0x906c53c0, 0x004464f6, 0xd95f64a2, 0x55f7b96f,
+    0xee3f8ed8, 0x8b746505, 0xe0d3813a, 0xe7905f58, 0x44b24f02, 0xe98214dc, 0x8dfcd34f, 0x00edded0,
+    0xeea1844b, 0xc4a5ab6c, 0x9aa62cd6, 0xb92a00f8, 0xbf667ab9, 0x3e6275b6, 0x141b4e47, 0x4a605d5c,
+    0x59d62683, 0xb69a4283, 0x9a407fbb, 0x7fa75dad, 0xa08796f5, 0xf8d66144, 0x92cb543e, 0x31b3247b,
+    0x12861649, 0xcf6588b8, 0xb3e3d8e3, 0xa8cb1fc7, 0x30390e0c, 0xf4a2c106, 0x1fb50471, 0xa25d12aa,
+    0xdbe88f91, 0x9b016ddc, 0x499ee2c0, 0x0fa538ed, 0x15efb371, 0x4a347cc5, 0x76733d52, 0x45d62b8d,
+    0x395ee6bc, 0x15ed59ce, 0x1653551e, 0x80a79f1d, 0x733a6e5f, 0xf7cd732f, 0x7abda305, 0xdda2e55a,
+    0xbe3f5f18, 0x3abdf06a, 0xc6a66829, 0x32fa40fe, 0x958b4f0b, 0xf7834bf3, 0x3862dc4e, 0xcf57f271,
+    0xa608473f, 0x19f089d2, 0x64af8a15, 0x79bfe10e, 0x16dae2c6, 0xdf7cb4d6, 0x143d15a9, 0xc0f71486,
+    0x959d6e5b, 0x1802da51, 0x02cf8f86, 0x7a9860a8, 0x6c7095c1, 0x5c51c460, 0xbe34a9f0, 0x24a00380,
+    0xb9769cb1, 0xb3ab4507, 0x4b62948d, 0x860ff909, 0x214ffc1a, 0xdf0e40b4, 0x195adb19, 0x38eb5c5e,
+    0x0818e853, 0x37838550, 0x79be21da, 0x191f2c81, 0x100aa237, 0xb6918b54, 0xa4e067e0, 0x4d53e754,
+    0x2d41258a, 0x608ceb72, 0xc6acb366, 0x09e74905, 0x5940588e, 0x1fd8a46d, 0xa026e06a, 0x658b8b15,
+    0x2bc096ae, 0xf00269f6, 0x2aa134ee, 0x856aa75a, 0xe3de6f64, 0x61439641, 0xa4a3f50b, 0xff6172c3,
+    0x846cb10e, 0x45d1f41b, 0xc080cbdf, 0xcdae90b1, 0x198ca61f, 0x312ffa3f, 0x6d7240af, 0x0ed43177,
+    0x79bea040, 0x8e4a6137, 0x18c17bf0, 0x4cdac573, 0x2a25f6d5, 0x686d8fd4, 0x57494f5d, 0xbb745d26,
+    0xddf61e5c, 0xf81a30a4, 0x5dc2685b, 0x5bfe9565, 0xfdb42b95, 0x07185775, 0xda08b545, 0xac43c874,
+    0xbf6a8373, 0x352fa527, 0xa8f13a9f, 0x20d841a7, 0x2d8b5fc8, 0x834d4317, 0xd4750e4d, 0xd50ef621,
+    0xcf922484, 0xd6ae14b1, 0x54aa0e98, 0xc16d830a, 0x50edec73, 0x4d3d824d, 0x8af2f6f2, 0xb876d948,
+    0xd220d8bb, 0xf1f0040f, 0xe9f108f0, 0x1fce23d7, 0x05dd3413, 0x72b68b4b, 0xb3cc9b13, 0x39d2dfae,
+    0x5e4e3e2a, 0xefd8f1e1, 0x24da1568, 0xbca9eb85, 0xb7258699, 0xcf5611ca, 0xb8f34443, 0xb0009095,
+    0x32e19fab, 0x6f493ab0, 0xa8933f11, 0x52ffde17, 0x65a1439f, 0x58289f20, 0x192aabd7, 0xc1b338b7,
+    0x5faeeb7f, 0xe84cd921, 0x35a04cf5, 0xb05029c1, 0x5e244bc0, 0xe50e5e22, 0x86b646b5, 0x0e784b83,
+    0xc3b37789, 0x4574677f, 0xe9e4c8d3, 0xd8b236ab, 0x961dcd45, 0xd0064bcb, 0x43a83423, 0x26b411fb,
+    0xf6099dba, 0x9765509c, 0x54ba9595, 0xbaa91164, 0x4a4e3c02, 0x219b324c, 0xf47f2f7f, 0xbcea2d9b,
+    0x7bbed18a, 0xf81b8ae8, 0xc2d9a7e5, 0x638ab66e, 0xabd67106, 0xca220aa5, 0x79084e03, 0xf61c0c2d,
+    0x26cfddd0, 0x477475bb, 0x0cb2062c, 0x39055e25, 0x7d604a19, 0x233dcab7, 0xade76e4a, 0x3d2ecacc,
+    0x4205a361, 0x416535b1, 0x99f81d30, 0xe92709b9, 0xd7123777, 0xe0afe437, 0x77516762, 0x3f63d67b,
+    0x783dbf52, 0x28b84013, 0xf1c1513a, 0xa550ff3c, 0xfe91287d, 0xe81f4060, 0x8da4841f, 0x099f789a,
+    0x6b725787, 0x12c9f867, 0x17819485, 0x2f7783c3, 0x4fadcac7, 0xf90bfb09, 0x0b6498cb, 0x98714b08,
+    0x3d704c38, 0xc6663193, 0x1be3ac31, 0x28dff039, 0xc4d2cf66, 0x627cdefa, 0x77e5c1ed, 0x37e349d1,
+    0x061a83d1, 0x6860abdc, 0x072207be, 0x78f814cd, 0x52179d13, 0x2847ee13, 0x975a426d, 0xf5028f1e,
+    0xadb8eadf, 0xc6608775, 0xc2a1e186, 0xa63ec963, 0xfb9b2069, 0xa1fc2477, 0xd115408d, 0xfeee6fae,
+    0x7214da74, 0x224cfe81, 0x6c40c411, 0x4f107e89, 0xfb1e41e6, 0x2266b1e8, 0xac165bed, 0xfdfcb992,
+    0xd2ada285, 0xc2841a7d, 0x79f259b0, 0x4433f5fe, 0x44a1a6f2, 0x0f7ae0d8, 0xd1830329, 0x14120443,
+    0xa669f950, 0xecdd9587, 0x23156045, 0x1df4565b, 0x8872894f, 0x031def2a, 0xb250209a, 0x997a20e5,
+    0xe58362fc, 0x6d4d6556, 0x0a16860e, 0x828c4abe, 0x65cc67ca, 0xb2f4e68d, 0xe667cd9c, 0xdc81e14f,
+    0xa1c3a0af, 0x3a162ed8, 0x5fbcb26d, 0xaaf5870e, 0xcad525ef, 0xc32e7374, 0xab4391f4, 0x366136a5,
+    0xed5906e1, 0x72730639, 0xc67d17bd, 0x926534f4, 0x72d776af, 0xbea29c9a, 0xbf54ecbe, 0xa8fc7e84,
+    0x302566e1, 0x4140ea4e, 0x5be4ab80, 0x79c2c5ae, 0x344f79cc, 0x4384913c, 0xfa46430a, 0xc747e809,
+    0xba2b1c52, 0x6bf9e99c, 0xcc9fbb09, 0xe2c913c6, 0xfb14690d, 0xab7056cd, 0x75695325, 0x165e71ec,
+    0x4d6fde63, 0xf291afb2, 0x9d108c2e, 0xe8e65b44, 0xbe7649f9, 0xdafc82d2, 0xf0a5f644, 0xc1baeff4,
+    0x9d4e6d06, 0x6c3097e7, 0x3b52303f, 0xbd4fe1b0, 0x1325b33a, 0x0f86b46e, 0xd97a2024, 0x6b2a9c5e,
+    0x55f1cbfd, 0x680c8164, 0x78466ca0, 0xfc52a91f, 0x5acd58bd, 0x0cb7e6c0, 0xe9ff8294, 0x7dd69381,
+    0xf9e1a7f5, 0x67847275, 0x0f271733, 0x3f647020, 0x863b1f09, 0x176f1c95, 0xec875461, 0xfa0d0b4c,
+    0x4f71dd03, 0xae762429, 0xe5cde751, 0x29cb3bf8, 0x403743e8, 0xf891fe26, 0xc2aa0151, 0x0e466842,
+    0x2b3b1668, 0xdd340c8a, 0x2a05e78a, 0x6e27fa89, 0x22fb28a0, 0xf285fe9d, 0xa8a9cdf4, 0x837cbea8,
+    0x07e3e405, 0x5a458acf, 0x9f44cfb0, 0x1ee06fda, 0x01f1df64, 0xc26ae097, 0x7ac243c9, 0x5e46f441,
+    0xf5e2322a, 0x199fd4e2, 0x59aa95d6, 0xb79b452a, 0x46b7cb2f, 0xc6f478db, 0xa92bbf4c, 0x938f870f,
+    0xe4f9f256, 0xe5e267d8, 0xd8ecd56d, 0xfdc1b547, 0x40c10f47, 0xad3a36be, 0xa102d38f, 0x221ac4bf,
+    0x37957c65, 0x255494db, 0xb61bf2d6, 0x5ab1e4d3, 0xc24ca687, 0xc6f13ac3, 0x1f99b02a, 0x1019a5df,
+    0x0fe7ea07, 0xd801ca44, 0xb3caaf89, 0x6a9091a9, 0x88bc539a, 0x607d3872, 0x172d8a89, 0x55476faf,
+    0x04893442, 0xb05467a2, 0xce0f0967, 0x781dd1a8, 0x1a833b06, 0xe4cd3f4f, 0x101a73f2, 0x1891555e,
+    0x76734ca8, 0x56685593, 0xed29fd5b, 0x16547d5e, 0x4c5fafb2, 0x80b551d3, 0x81c27806, 0x36435fe9,
+    0x13699770, 0x1ea46f53, 0x65bf43ea, 0x26a17da3, 0x1acda3fd, 0x26f805c1, 0x09a93757, 0x7130e8c3,
+    0x5a6880f5, 0x85e8acfe, 0x687d92bb, 0xe396cc9a, 0x0e296af6, 0xd129c4fd, 0x384daf21, 0xd4d89ad2,
+    0xec1d1852, 0xf1ad603e, 0xdf8b78bc, 0x093d615c, 0xddc24a57, 0xf8b676b4, 0x38ef5089, 0x553d8c93,
+    0xd1900746, 0xadd4afeb, 0xc40451c7, 0xe7a90d26, 0x5f3b9223, 0x5b712898, 0x7bf0b29a, 0x16deb62e,
+    0x7eb1cbae, 0x0a28765d, 0x492bcf55, 0x10eb170f, 0x6eae6236, 0xaa62c175, 0x56b9309c, 0xb4e02e3b,
+    0x2190929d, 0xa0f875f3, 0x8f1b5a37, 0x1ede0c6e, 0xabb92648, 0xe1763ec3, 0xf03d9cbd, 0x42875c4f,
+    0xc2a1b682, 0x6df14ee5, 0x1c475aaf, 0x35f81ed4, 0x9b8519a0, 0xc3690bb4, 0xbb12231d, 0xe4a68945,
+    0x73a331b0, 0xe62b42db, 0x68c214f9, 0x181fd62f, 0x0fbee58c, 0xbec2c895, 0xad1990bc, 0x2c12634e,
+    0x1c532374, 0x57f9c474, 0x75ed6617, 0x758f06b8, 0x76769ed2, 0xb41f022e, 0xfd142a7e, 0x38c15f9b,
+    0x319d54b3, 0x9e45e6b8, 0xd8879c02, 0xce3807be, 0xaa62356e, 0xc39cccf8, 0x7ee22b12, 0x86869a34,
+    0xfce5bf73, 0x135ac4c0, 0x4b97cd9d, 0x4d337bec, 0x3d3c8a4e, 0x09dd7e4d, 0x3b48b156, 0xf0aac0a5,
+    0x7bcfb38d, 0xb7923f18, 0xb19ed410, 0xd190a557, 0x00eee90e, 0x603eea8f, 0x583edc6f, 0x41413d64,
+    0x7e886284, 0x4e2ff7dd, 0xd401c84d, 0x59c71e30, 0x412e2692, 0xf2c5a369, 0xd4268a76, 0xe078dabc,
+    0x3d8b0d4e, 0x21aa3ad7, 0xfc28ecdb, 0x2a0cf533, 0x3dcebdd0, 0x341c14bc, 0x47d5d450, 0x6b19888d,
+    0x0719b179, 0x68c111d7, 0x778e3bb1, 0x51a0e2f2, 0x324fe0be, 0x0a738636, 0xfeb7bbeb, 0xe28e3ba0,
+    0xed04c156, 0x8a707d9f, 0x2fcb5813, 0x5967d37f, 0xa49c0343, 0xfb30aeaf, 0x4286c5c0, 0x0b22587c,
+    0x33b9bd6f, 0x78bad9cb, 0xc08f7b74, 0x837c3abb, 0x1b4d24d3, 0x66331133, 0x895d4fc5, 0x748fff2f,
+    0x18a5589b, 0x67913a08, 0x19aaad74, 0x04ae6b39, 0x7ca99d7b, 0x74c90da0, 0xa30d9276, 0x1e1edfa2,
+    0xe3c0c587, 0x0da0f6a4, 0x8026f518, 0x56c09f00, 0x8bd3ab46, 0x4e5b66a8, 0xe48e09ca, 0xecacd131,
+    0x17c2c9c5, 0xd5165ce4, 0x690ed524, 0xb15cfdf7, 0xee649e5e, 0xa3e88916, 0x16d354d6, 0xfe89689b,
+    0x6a1044c4, 0x3d2b0eff, 0xb51be0ae, 0xcc780dc2, 0x7bb3db9e, 0xda66b00f, 0x5b76c203, 0x58c8c1eb,
+    0xd4281359, 0x9f5a80fd, 0x2333197a, 0x14effb83, 0x8c99accc, 0x5cc8d11b, 0xefa7deba, 0x06218856,
+    0x64f952c4, 0x7d523b09, 0x18bfa033, 0x91c62ccb, 0x6cd072dc, 0xf7d945b9, 0x3166c232, 0xb19df3cb,
+    0x61834f1b, 0x04d63c00, 0xe03a56da, 0x4c6884dc, 0x05e01ba9, 0x6e175eb7, 0xc2c8d2a3, 0x8a0691ba,
+    0x00000000,
+    0x6cb62afe, 0xa6d7eda6, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000182687704666362864775460604089535377456991567872 */
+  { 0x00000000,
+    0x500652c7, 0x866a753f, 0xcdfe41fe, 0x266d3d68, 0xec27e2e1, 0xc737b3b5, 0xfb9dfaca, 0xfe4d6897,
+    0xe05a397e, 0xc0c7d1f3, 0x83a13caa, 0x73d76d54, 0x6cce6031, 0x61b94f22, 0x9d82f61a, 0x3ca46d3b,
+    0xccf91df9, 0x83452025, 0xb7314b9f, 0xb4161b50, 0xc2e8c46a, 0xc73cd826, 0x6099365c, 0x6b13c3cc,
+    0x9516cfad, 0x26735b05, 0xce0a6d57, 0x60e9973b, 0x93965825, 0xd5230dc7, 0xd4e23ed5, 0x572dd76c,
+    0x37b986e7, 0xf57cbf89, 0x7aad20bb, 0xc2e5ec03, 0xd61f3cd8, 0x104f7739, 0xccbb5dfc, 0x06acf9eb,
+    0x5f97eb19, 0xa0cef80f, 0x165f9bc8, 0xba926e11, 0x2886f553, 0x86b24f23, 0x08f72108, 0x1ddf1452,
+    0xea3d0e10, 0xc22df1ae, 0xb6b5252f, 0xa3dbeabf, 0x5c716de7, 0x3757a79b, 0x044e0e28, 0x022ac87b,
+    0x73bda421, 0x9395b5bd, 0xfbc06435, 0x974da950, 0x00b46346, 0x80f7eeaa, 0xd8f23ba1, 0xefe7ec5f,
+    0x1948e53e, 0xca218fdc, 0x59ef5eb6, 0x053b0cbb, 0xdf6d1de5, 0xcc7611e6, 0x23d4eb1b, 0x9443c56f,
+    0x18b929b5, 0x292e2f1c, 0x59e0bb15, 0x79867670, 0x99654580, 0xab6f552a, 0x6507ba31, 0xdfdb23af,
+    0x42fe5673, 0x9b933ef7, 0x86f17c0d, 0x42916539, 0x0413dc88, 0x5c1c5d35, 0x51cfca3e, 0x432dc33a,
+    0x73ac61e2, 0x13df4efc, 0x7551e5a7, 0xd6193f99, 0x052e940d, 0x1a195049, 0x97efe8ad, 0xe9cd0cd8,
+    0x7b668fb5, 0x5939c3b7, 0x3c48e23a, 0x3c06b043, 0xcfe2a5da, 0xa67735c3, 0x23c6c069, 0x1b791988,
+    0x4aec8955, 0xa9fbd97b, 0x48d3a18e, 0x7820f5e2, 0xd8eb6171, 0x54ae0cb5, 0xd74610c2, 0x7311c174,
+    0xc8870892, 0x1794cae4, 0x3f3ad05b, 0x0d0490ff, 0xba3f8705, 0x5303a490, 0xff1f2ce4, 0x9eb3cdc4,
+    0x042d8eb5, 0x3e115b8a, 0xfcf84491, 0x83b8bea0, 0x291d8983, 0x90681d12, 0x022a3bee, 0x769538b7,
+    0x77e7c5a2, 0x9ed2880e, 0x47c6e6d9, 0x6ee0a8ae, 0xe58983ba, 0x22e967f2, 0x86bbcb92, 0x6b999cfc,
+    0xdee69d82, 0x44038536, 0xf73dc9bd, 0x749d31ec, 0x5397d9b2, 0x32dac88c, 0x19f020b5, 0xbadccb2d,
+    0x514b663e, 0x13494bd3, 0xe42e24b1, 0xea2bb7ab, 0xff82299f, 0x073737ce, 0x8fbfb3d8, 0x9a9b988f,
+    0x0c5a3432, 0xf9be86af, 0xf74e73b0, 0xf89f73dc, 0x68b2fea3, 0xdc1b4e58, 0x8810600e, 0xf44b99eb,
+    0xe04c245f, 0x7eec7da7, 0xe318bd2a, 0x0ea3117b, 0x7e07a5ff, 0xa28f69ba, 0x24e279df, 0x4d0e3293,
+    0xb30d1b79, 0xedab21f5, 0xd33b0564, 0xb340e07a, 0xd68c59b7, 0x376519ce, 0x0cf58062, 0x6bba944a,
+    0x38e182e1, 0x22b354d3, 0xbc81ffeb, 0x2be84167, 0x5e5f0914, 0x5ddd40bc, 0xe42a52c9, 0x1f7ffe87,
+    0x1edf2821, 0xf97bb6cd, 0x3dd4eb56, 0xc70c363a, 0xe2233652, 0x18e34c1d, 0x536f2923, 0x6c8ba7b7,
+    0xb319b903, 0x2e1367eb, 0xa25057c3, 0xceb92945, 0x6dc4dfd4, 0xf7fd0a49, 0x7e37f568, 0xb408594f,
+    0x29e2c9fa, 0x9a73d676, 0x8f89d042, 0xc819fa09, 0x8a25ebea, 0xe69abf36, 0xb30a3825, 0x79c60e90,
+    0xc8152522, 0x1519ccad, 0xbda1f05e, 0x5c4a7c05, 0xbcb04ed3, 0x17d43d0f, 0xa181cd51, 0x7c94b10c,
+    0xd9b3f359, 0x67571f50, 0x0746a4d3, 0xdbabedd6, 0xfe562077, 0x77b7ae60, 0x8cd739b3, 0xb9e7a36c,
+    0xe42b9daa, 0xdb9366cc, 0xf84b3a00, 0x0d4759ca, 0xbb451951, 0xa75aef84, 0xcb5de364, 0x86292bd1,
+    0x8b65dd07, 0x269779ae, 0xa33c53fa, 0x0a3e5d1a, 0x122e7afd, 0xfc6218dc, 0x7f9e57ff, 0xcb720245,
+    0x85f3962c, 0xf34507a1, 0x59d15ee7, 0x464836c8, 0x52c9e0c5, 0x43f5844b, 0xe200281c, 0x96254eb3,
+    0x0203c752, 0x48b5c2de, 0x8229e371, 0x49687b0e, 0x1c3e3504, 0xcc1c4b90, 0x8d80570b, 0xef28be58,
+    0x9ea2b397, 0xfffcca06, 0x4675a192, 0x50132166, 0xb548af32, 0xf36c5fed, 0xe4d4a6dc, 0x047e948d,
+    0x8b0957f5, 0xbb9a831c, 0x831d6551, 0x9241efa9, 0x53d6cc27, 0x9ed3b8da, 0x0b352907, 0xa1bd5c99,
+    0x232b2ac9, 0x20bede83, 0x635cb840, 0xeb40b5b6, 0xb182201c, 0xd4b581a3, 0x2a90af7b, 0xbec0a5b9,
+    0x5e03db2a, 0x137edc31, 0x909bd7dc, 0x435d76c5, 0x127937f5, 0xa52b5190, 0xc7d150fb, 0xdb98b141,
+    0x729bc862, 0x90e60620, 0xf711c821, 0xcdfd6028, 0x1584efe3, 0xc501d96b, 0xd1d619cb, 0x03e3e465,
+    0x3f70c005, 0xe2734d7d, 0xa39e7ad4, 0x97dec6cf, 0x4fe54a2b, 0x2149c9ed, 0xed080a85, 0xe97232ce,
+    0xd3c279c7, 0xce1a574a, 0x9ed22417, 0x224206ce, 0xf5c160a3, 0x272d5326, 0x83bc225b, 0x3f4ac783,
+    0xd48e09b5, 0x3db059c0, 0x237a5c17, 0x0ac7a558, 0x9081a289, 0xae5c818d, 0x9d5ce89c, 0x8be93073,
+    0x1c3011ec, 0x9fe1fce6, 0x42eb50bf, 0x7d6433a9, 0xa77b9c85, 0x58335c75, 0xdd72ffe5, 0xce1b52d1,
+    0x3cf97d50, 0x7e98fd60, 0x4e859a2a, 0xfbbda465, 0x4ee0053d, 0xdd2a168e, 0x22d0de8f, 0x797c4e5c,
+    0x0ac46aeb, 0xecfacf13, 0x96530a5d, 0x5ad69c21, 0x2d0a08f5, 0xd36667b6, 0xfb7269f3, 0x3045e104,
+    0xbe200386, 0x78678983, 0xc29fea68, 0xfc262fbc, 0x99e113bb, 0xb12f1c78, 0x41e42a0a, 0x868f4e74,
+    0x8fb580d8, 0x3b068c6b, 0x86146716, 0x0ee7e3ae, 0xa2f3d04e, 0x36fd691e, 0x165f59bb, 0x9f90fa3b,
+    0xd7320c55, 0xfcd1e3af, 0x4a6c7fa7, 0xca0f6816, 0x075b161f, 0x51880102, 0x973b113a, 0xb82f48d7,
+    0xa6c82f96, 0xd5d4925c, 0xad74c175, 0xc53a1950, 0x748608fe, 0xa63e52e6, 0x8510e12e, 0x458cd75b,
+    0xd3dbcc73, 0x50d96ac0, 0x641e3138, 0x72bb0c20, 0xeff1fcee, 0x89c2169d, 0xfea023e1, 0x7649ec80,
+    0xa0354426, 0xf7dc2bfd, 0x4fddeacc, 0xd487467e, 0x269b9ffa, 0xe62d775a, 0x2b38c0e4, 0x181cf826,
+    0x6ec0edcc, 0x64457215, 0x893768f8, 0x01e7e837, 0xe708e12e, 0xf505c854, 0xee25c074, 0x7b5ceb69,
+    0xe495e62b, 0x0b3b189c, 0xa34320fc, 0xf18a37c7, 0x29459dae, 0x081ed103, 0x245c907e, 0xfe83d6cf,
+    0xefc51742, 0x203e6b31, 0xbf566946, 0xf685cf4c, 0xf792d1cf, 0x7b7050ff, 0x52dce810, 0xc452d8e3,
+    0xb04c4825, 0xa0e73d3d, 0x7d110b19, 0xeed71881, 0xbdf1d473, 0xe1672472, 0xbbbf7cac, 0x8ca0fa3b,
+    0x4e841dd7, 0xc60fd52c, 0xd0e401dc, 0x84a0f283, 0x02561ee5, 0x7ad98db7, 0x9bbd52c8, 0x09659e17,
+    0x4cc28476, 0x61865ca2, 0x6d1d3c8d, 0x48a4933a, 0x71b37286, 0x61c9d5b0, 0xaaf21ddd, 0xc431d2d5,
+    0xd972dc45, 0x56829639, 0x17a093e3, 0x0f5838e6, 0x61844878, 0x8b8dce4b, 0x56922023, 0xc3992e55,
+    0xd5abeef8, 0x4152c77e, 0xd86cf15e, 0xa240ac3f, 0xdcdb63f7, 0xe9cff542, 0xc6fbcda9, 0x90590da0,
+    0x01138242, 0x4dcc8060, 0xf1b0d686, 0xc36db09e, 0x84886464, 0x7b1756d9, 0x0e13a3d1, 0x5546be1c,
+    0x4b31098e, 0x94090c23, 0xf1ecdf21, 0x68dfe895, 0x37a891bb, 0xfb3379c2, 0x845c3de1, 0xce726b88,
+    0xce448eda, 0x132da107, 0x792150c0, 0xd46e18c9, 0xd8eb3bbb, 0x7d61b87e, 0xa6992f04, 0xd64fe5ac,
+    0x11d61bfb, 0x46c1a17e, 0x3b98a66b, 0x4bd24a2c, 0x5bb9bee8, 0x3c29290c, 0xad1b94f0, 0x5c646aac,
+    0xeb26d6f0, 0x6c9affcb, 0x6a0f1e59, 0x31dafacd, 0xa2f927ff, 0x3723d94c, 0xd8544d04, 0xf3fef91b,
+    0x335660a0, 0x0c0c15d8, 0xd42fd804, 0x5c2f578c, 0x0d8ea1a2, 0x88a34459, 0xdf3d3116, 0xdc1202f5,
+    0x0eeff1ad, 0x6d253c51, 0x737b2011, 0xf5d197ee, 0xdae8e0ef, 0x5cdf287c, 0x07b63b20, 0xe7f4e40e,
+    0xe44ae6f1, 0x666eb4e5, 0xb351c7f2, 0x971905d7, 0x638f9a00, 0xcc99c09c, 0x8d8ba3c3, 0x9f7a8f35,
+    0x2c751f0b, 0x42e0b96f, 0x66530fa0, 0xec698e7f, 0x1e7ec34b, 0x97de525a, 0xd693fb5d, 0x8c2e3f7f,
+    0xf1502be6, 0xf0455f4c, 0x7ab1ffac, 0x76974bd4, 0xbf555a96, 0x4add0d91, 0x3345dccd, 0xe3a4ae10,
+    0x689183a4, 0x6b4ec0cd, 0x5dd8c10b, 0xb679a21a, 0xa84b63b2, 0x0f97fe0b, 0xc872e066, 0x521e40f1,
+    0x41fe0863, 0x6d48ee86, 0x63eef7fd, 0x4d1630c6, 0x3fd09a35, 0x2f38926d, 0x92a77253, 0xeac390f9,
+    0x2bc6fb27, 0x9be695cd, 0x63809686, 0x2cf8f2a0, 0x5a9ae34d, 0x76b60673, 0x766084e3, 0x7d6e649a,
+    0x6650fefd, 0xbd5aab6c, 0x07d5271a, 0xdb97cdb0, 0x9bcea3f7, 0x1e47355c, 0xa19627a1, 0x2d177cfa,
+    0xea06ae37, 0x286dc3b8, 0xf9f8fa6d, 0x1ac290e4, 0x69837db6, 0x7d314dff, 0x536b1800, 0x186fa4f3,
+    0xd1224939, 0x58e861f9, 0x8826f3cb, 0xef6096e3, 0xa161acbd, 0x5846f301, 0x84ac3ee2, 0x5544b35a,
+    0x0f4442ac, 0x6359747a, 0x66fce2cb, 0x4c1edb96, 0x3887a284, 0x6733ac20, 0xe4ddc703, 0x67d6db8e,
+    0xc988e0b3, 0xdb395c6b, 0x63e83779, 0xc59c58eb, 0x6c4566bd, 0x64ca73fa, 0xd79d724c, 0x15cdadbf,
+    0x5dc93744, 0x694cecb5, 0x514d54cc, 0x39df7fd8, 0x76ee0b52, 0xa99afa40, 0x342cbee3, 0x4da938bc,
+    0xf7a3d3dc, 0xb9229ca3, 0xbadb79e6, 0x5c619bd4, 0x3e89ce6a, 0x230fd084, 0x9c644bd3, 0xb5b08144,
+    0x02534dc4, 0xea73e464, 0x8bd706ea, 0x6510da2c, 0xbaa5f167, 0x1ca7a5d5, 0xd80ce52e, 0xb797298e,
+    0x30a5ef6f, 0xbfefe9d4, 0x0a86db85, 0x0f5d48ed, 0x9fe85dbc, 0x55c5f15a, 0x4c763419, 0x267aa552,
+    0xab9d5cef, 0xa65fa4b2, 0x6cb2c9b3, 0x8a9cb19f, 0xb511d614, 0xcf72768f, 0x348ed5e4, 0xe6052320,
+    0x9e319979, 0x9f955e29, 0xfc046f03, 0xdbbb956d, 0x0b975d85, 0x9cf7cae3, 0x2cf4ceba, 0x73f157d5,
+    0x8f238083, 0x2b0be148, 0xae37169a, 0xf5b30045, 0xc052c4db, 0x70e7ba6a, 0x8011ac55, 0xe1a20f90,
+    0x73bf91bc, 0xe0e4491f, 0x9830a119, 0x03418c7a, 0xe324d776, 0x885b3f64, 0x62ea69b5, 0x4dfd873c,
+    0x082a0997, 0x0d596a6d, 0x76e526d7, 0xb209dacf, 0x15f1aedf, 0x55d2b54c, 0x76be051e, 0x1ebb0519,
+    0x97055195, 0xb0bf7bbd, 0x96102401, 0xb8fac1a5, 0x184f6281, 0x975e5471, 0x0ffcb7c5, 0x28760d37,
+    0x09738354, 0x12e60998, 0x9b41e904, 0xa4350f3e, 0x89697edc, 0x01a481d7, 0x204d3f85, 0x5e95b962,
+    0xa9e30bda, 0x0cbaf56f, 0x7166248f, 0x4689236f, 0x438185c2, 0x23832d43, 0x58ef796d, 0x5d00866f,
+    0x3de81588, 0x31d14f08, 0xbcdd4a4b, 0x326029aa, 0xd07c0dd2, 0x7db730ab, 0xd4d3f722, 0x9fe529e5,
+    0xba51d780, 0x17883fbb, 0x9cd9519f, 0xe853ff24, 0x0da76bf3, 0x98aed5ab, 0xc88490f5, 0x430e099b,
+    0x786b146a, 0xd9576e72, 0xe81fec0c, 0x7a9473a0, 0xc46bef82, 0x8fc41db6, 0xabebe458, 0xe0b01f0b,
+    0xba566b7b, 0x2f9f5ebe, 0xd2eeb989, 0x9c590c8b, 0x64442f81, 0xdf0c6216, 0x031058a7, 0xd94b3868,
+    0x8bdcf04f, 0x99e555d3, 0x5a638931, 0xaf82778c, 0xf82fe3d6, 0x148a80b0, 0xc28d126d, 0x8b7544d6,
+    0x4ee06bf1, 0xfd611ff4, 0xaad23f01, 0x1ff7a313, 0x87404dd4, 0x04fc1fef, 0xf7e8c132, 0xaa1221d5,
+    0x28cf780c, 0xe822cd91, 0x22e84e40, 0x982bb67c, 0x2b47786f, 0xa537464c, 0x3c7e9fe8, 0x2bf360ef,
+    0x8c15b37c, 0xb8a94ed2, 0x771fb9d0, 0xd6aea2b7, 0x8cb212cd, 0x7ba544aa, 0x391c8aa0, 0xf12046dd,
+    0x05b0133e, 0xa932926e, 0xbb822470, 0x7cfc895a, 0x6b3bf018, 0x7eaf0475, 0xc052cc02, 0xf79593e7,
+    0x9f3637a5, 0x81371f34, 0x0e10ca1b, 0xb2324cf8, 0x8ac0027f, 0x5d2a111b, 0xb2a20a09, 0xcdbb69f6,
+    0x348f6fb0, 0xbf8f5754, 0x277a71ea, 0x3681337e, 0xa49b7b1b, 0x00d7b993, 0xac6b8a7a, 0x61f50139,
+    0x9ca31336, 0xea60e7e7, 0x9bb7f28b, 0x5dc8dd86, 0x7928e833, 0x4848455e, 0x078642ab, 0x5be770b9,
+    0x8701d811, 0x1e78150e, 0x148a08ba, 0xfdfd40e4, 0x82e711f4, 0xaa616df2, 0x852360c2, 0xf65fbab9,
+    0xe2e70ef5, 0x6ee2e031, 0x59503b04, 0x4bce14c3, 0xe3682870, 0xe0826f25, 0xb0c30565, 0xc1bdb824,
+    0xc1bd561b, 0x424bd965, 0xa374ad78, 0x3bf2cf56, 0x9eb924f5, 0xb63b3874, 0xda78e727, 0x149eb616,
+    0x189b9b6c, 0x7774edde, 0x0611481e, 0x84dc45a0, 0xe38a0653, 0xf3c52c5a, 0x21cc38d1, 0x7d6613be,
+    0x449230e3, 0x5711080d, 0x27278e54, 0x448505a5, 0x5828e386, 0x556c95f0, 0x19c68361, 0x610dd4d1,
+    0xb49ed734, 0x58f36359, 0x28ab1247, 0x6705658f, 0xd456b890, 0x92026afd, 0x0fb7f11a, 0x6f1c3f81,
+    0x00d13ff4, 0x5cf71de5, 0xe0d6df09, 0x2253a193, 0x9fe5792f, 0x12c7eff7, 0xd1ee71c9, 0xceb40534,
+    0xbe5c444e, 0x8379cc47, 0x420f3aa1, 0xe37c1fb7, 0x98b1791d, 0x0971e0e9, 0x50388a91, 0x2c6b1a13,
+    0xecea6480, 0x0c59c27c, 0xd6e259e0, 0x3fecafb5, 0x6e757d77, 0xc06c79f1, 0xac17d623, 0x587d8719,
+    0x7447103a, 0xe1616224, 0x3ede7cf1, 0xbecd5baf, 0x3beb5aea, 0x572bed01, 0x27c0422d, 0x5a9b034d,
+    0xe9dab6b0, 0x5bcd038e, 0x10de6c44, 0x132f71d8, 0x671c0771, 0x12723d58, 0x7ef30e6d, 0xb667a943,
+    0xf2ef009d, 0xcbe9e40d, 0xb3bf76c7, 0xe3f70d19, 0x15d22e35, 0x9984eb45, 0x5a44cf12, 0x08f661a0,
+    0x6cd6d86f, 0x094b4d5d, 0x8b6cfc75, 0xa2d1e830, 0xfb0526d9, 0x183de94a, 0xfcaf6787, 0x9821160e,
+    0x311f8c0b, 0x421b7218, 0x79ae6187, 0x265e797f, 0xfc8f8ad4, 0x659225a9, 0x3c6006ce, 0x1c821714,
+    0xcff0d8ef, 0x8d8c23eb, 0xc7efdae0, 0x3ccc094d, 0xde61da14, 0x31a9976a, 0x7ced3624, 0xce004bef,
+    0x2aad8827, 0x87337561, 0xdf7bddf3, 0x3a707237, 0x97dcab90, 0xefcfedd7, 0xebebfab1, 0x7093fd13,
+    0xe148da23, 0xbe7d1092, 0x557e546a, 0xf3095740, 0x41686852, 0xadb5d8ed, 0xf2b7e6a6, 0x00dc847e,
+    0x25ec56f6, 0x0ea24e5a, 0x4f3a7c3e, 0x7b7a0ffc, 0x9b4e13ce, 0x44bb6fa8, 0xcd1c2b9e, 0x2ce9613c,
+    0xc3135c34, 0xac442bdf, 0x1d967d40, 0xf5e900fe, 0xa109cf9c, 0x0b83a6ed, 0x5791d561, 0xdf87e5cf,
+    0x100658a6, 0xc68bfc7b, 0x777abf9c, 0xc1f51852, 0x824303df, 0x4901f4cc, 0x1dcc1a94, 0x4f263ac0,
+    0x864ce9fd, 0xc3c0a27b, 0x06f3063c, 0x854c7060, 0x2255255a, 0x293dd000, 0x0a39ebfd, 0x8772c20e,
+    0xb94a3d8c, 0x62bb9352, 0xa9b3115c, 0xf7df3413, 0x34c219e2, 0xf72527b0, 0x171119ee, 0xcf4a451b,
+    0x2a1c6def, 0x1ccb7971, 0x4db8664c, 0x3e2de850, 0xc4c3aba9, 0xb1e98041, 0x1d908762, 0x9701ead8,
+    0xcc72a4f1, 0x6a71e29e, 0x5b887869, 0x125354b2, 0xdcef10c1, 0xb212267e, 0x7b951926, 0xea78bf2b,
+    0x8f512c7d, 0x001b5b8b, 0xb89c635b, 0x045481e7, 0xa826f410, 0x63a8a36e, 0x572cb936, 0x2cbc0890,
+    0x7bc1a488, 0xc872ec9c, 0xad755a77, 0x5c762094, 0x9c76e50d, 0x42113ee6, 0xf9c0e012, 0x3dd42b09,
+    0x99c53b12, 0x9760d86e, 0xf402b97b, 0xa4a06b55, 0xdb102987, 0x9adc3637, 0xb873adc9, 0xbbf99421,
+    0x00000000,
+    0x365b157e, 0xd36bf6d3, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000091343852333181432387730302044767688728495783936 */
+  { 0x00000000,
+    0xc1b83e3e, 0x45fba093, 0x9c281885, 0x7cd410a8, 0x158f4c46, 0x0ece8a56, 0x7470e114, 0xed63a0f5,
+    0xb81a4b69, 0x3ceb2bd7, 0x309ee896, 0xac683e45, 0x49aa403b, 0xb57df615, 0x7947ea65, 0xc0a82881,
+    0x04a1c9d8, 0x9e554efe, 0x0ab91fe5, 0xb66ea5ca, 0x54ca5681, 0x3460a82c, 0xca955a09, 0x6b977bab,
+    0x0c53f452, 0x61f5d83a, 0x6c70dae1, 0x2db4bbce, 0xb68d07c3, 0xb712c41b, 0xb8039c03, 0x88d8efed,
+    0xe5d663f1, 0x1f5b5289, 0x19831b08, 0x45e07a2a, 0x223a96b0, 0x989b8dea, 0xc52ec1c8, 0x7263557d,
+    0x9e70eea3, 0xdcaed90f, 0xcc79081c, 0x8040296b, 0x014d6c16, 0x1f27f472, 0x7f79cf4e, 0xfa731c06,
+    0x4a54ad04, 0x64af3826, 0xcf6cd058, 0x880d750f, 0x0aaf90e0, 0xefdf2551, 0xb3827b7b, 0x236b96c7,
+    0x5e07dea2, 0x99a75206, 0x8b5e5f5f, 0xe5a6a75e, 0xbcc11cc3, 0xeb297a5d, 0x6f76e657, 0x4a1da2cd,
+    0x0198bb32, 0xcd75e527, 0xbfdb1721, 0xa41ec395, 0x93682c3c, 0xeb56e8d8, 0xfa0d4ae3, 0x840b7e52,
+    0x92535467, 0x48c5b706, 0xdf3ea621, 0xb9c55ed0, 0xb8ac3ba7, 0x547b3fee, 0x666787fa, 0xfc00a5f0,
+    0xa9ab43f2, 0xbd68ab8f, 0xc6ab055e, 0x27deaeb4, 0x34f45ed0, 0x54092567, 0xcbd950cc, 0x462febc7,
+    0x7bd0d276, 0x935562ff, 0xb9a80536, 0xcead4459, 0xf9d62427, 0xc728b5bc, 0x64b3e51e, 0x2da6af15,
+    0xbf518b95, 0x91874ac5, 0xa0257763, 0x077395c7, 0x8a93bc9a, 0xa11e5e79, 0xe8b8979f, 0x081bd50f,
+    0x5363e456, 0xdcf23fde, 0x4679bec0, 0x80112509, 0xa9bcf1e1, 0xd0bb69fa, 0x525b76ba, 0x274b347d,
+    0x4dd779ca, 0x2fb0f9b6, 0x92f4e3d3, 0x3d4f6d3a, 0x103afc94, 0x5ab5dad4, 0x7d83de71, 0xa5ea8978,
+    0x051bb88a, 0xd6cadd76, 0x1a25d0aa, 0x379756b7, 0x2b68b126, 0xc9c9a27c, 0x0dd5fc19, 0x712334af,
+    0xabbe82e6, 0xb9b0f2a0, 0xfde60f7e, 0xf165dae8, 0xf084c08c, 0x423e8004, 0x61310c12, 0x3b5ec455,
+    0x92ee586e, 0xb5047076, 0x47840d27, 0xa4fa0642, 0xce68ee6b, 0x17eb4f26, 0x205f8377, 0x5129db87,
+    0x6f47d0e3, 0x558f07e2, 0xd6ca031a, 0xc977f16a, 0x76b8f7c9, 0xa13df9a6, 0x08cd8326, 0x263f668f,
+    0x45660572, 0x3286736c, 0x936f8d07, 0xca738ea6, 0x2218a5df, 0x9a91b13e, 0xd9811b06, 0x910ce464,
+    0xa5ebe734, 0x2d36d4da, 0xd8ddd121, 0x636ea0a5, 0xfe2cda1c, 0x32c7f246, 0xc1a5e64f, 0xd9725589,
+    0x0c83f0e9, 0xfd57b639, 0x0ddd4094, 0x2531fc6d, 0x98eceed0, 0x796cf242, 0x0ee730bf, 0x5bac47a0,
+    0x8a61bebb, 0x97b9d560, 0x98cab12b, 0xcc71a3c6, 0x903b16ce, 0x7217377d, 0xdb19bbfa, 0x588a1741,
+    0xbe35eefb, 0xf0603203, 0x04451072, 0xb3edd93a, 0x21b3874b, 0xdf282142, 0x47da737b, 0xa29b8913,
+    0x26adc1a9, 0x447ce873, 0x56c48b8f, 0xf56c36ea, 0x60919a96, 0xdae2ced5, 0x960eecd4, 0x0c9fd89c,
+    0x742e6aee, 0xebf8cd7f, 0x1d929bda, 0xb9c23661, 0x1227fd20, 0x595ba793, 0x3fd18af0, 0xa83de18e,
+    0xe2bba902, 0xace37c01, 0x902fa302, 0x8f5fcc3f, 0xc57e0608, 0x2ab999eb, 0x59a5718e, 0x2e653a2c,
+    0xde81e7e8, 0xb62afee3, 0x5cb6cdfd, 0xad001f93, 0xb1f015a4, 0xc315c84c, 0x546359f8, 0x7e26e2a8,
+    0x6f7059e1, 0x9919c47e, 0x6e15391b, 0x0d2a1d02, 0x0980158e, 0x409795f4, 0x0190c2f8, 0x7be824c4,
+    0x0132b7e7, 0xe58ad93a, 0x4767d606, 0xde8d15c1, 0xc2085f32, 0xa4399622, 0x57ca1ad1, 0x89622a33,
+    0x089f7e37, 0xd2df3774, 0x1294abe4, 0x5c9088d8, 0x56aa7d6d, 0x1f3f95d0, 0xcfd31042, 0xff9acf42,
+    0x3186a386, 0x9c71e011, 0x850f161b, 0x4f8b1e9f, 0xb8327b96, 0x830b55bd, 0x79a1ba6a, 0xb1482fdc,
+    0x86d4b56e, 0x31a098c8, 0xd98ef986, 0xe9199a84, 0x7b079e32, 0xe0666c54, 0x310eaa94, 0x6c092d9d,
+    0x8d5ca1b5, 0x8451c959, 0x41bd3b0a, 0x21144dc8, 0x8a6fa5ca, 0x69a4cb98, 0x4b5464ee, 0x7b8d1340,
+    0xa4eecdeb, 0xb88f76e3, 0x6e235bce, 0xf095ba6f, 0x93aaa6c0, 0x6d285f58, 0xbfadc55c, 0xcff6e13b,
+    0x134591b2, 0x78f72f18, 0x4696616d, 0xc8beebba, 0xd0e4b2c9, 0x279782e8, 0xea4048f8, 0xf940dfd4,
+    0x54976dc9, 0x4ea1510b, 0x49c8814b, 0xfcffd39c, 0x0f14deff, 0xa08dbf9d, 0x3877827a, 0x46245811,
+    0xcf3a41ff, 0x7ef75529, 0x20c0706c, 0xd46c6607, 0x4159aba9, 0x3f92b1bc, 0x70a62f3c, 0xb9be8c32,
+    0xe2975b3d, 0x1d0b343a, 0xce5f50f5, 0xe7e24076, 0x62253e2c, 0xb533e9dc, 0x036f5da5, 0xd810f3c2,
+    0x9ec7b4ce, 0x4606dbd3, 0xd2ef653b, 0xf4bd4037, 0x323b8b8b, 0xf81239a8, 0x3aac9ca4, 0x428fd0f7,
+    0x78503952, 0x98c62e53, 0x0594be00, 0x07682592, 0xe65cc168, 0x6f261902, 0xdb802a24, 0x4c2fbce9,
+    0xbbf58c5b, 0x72926741, 0xd94de438, 0xeb17e7d3, 0x462f68b9, 0xfeb0c729, 0xcf5bfa48, 0x673d08ae,
+    0x698348c1, 0x55a87a2b, 0xdd971973, 0x1311c67f, 0xad5390c5, 0x128c3335, 0x6a423e6e, 0x55e47c48,
+    0x3da6a707, 0x887de50e, 0x750325b1, 0x53aae833, 0xbbb69f41, 0xdae825e3, 0x847e7d5f, 0xc42e1c17,
+    0x7efc2c04, 0x1cb2c10a, 0x8a31ff6d, 0xd3c3194e, 0xe6a80963, 0x6387c7df, 0x7df50b75, 0xfeab3b7f,
+    0xe7d4cc51, 0x8d5ff05f, 0x90419027, 0xb2278798, 0x954188a6, 0x2e64a9cd, 0x8aa8c8f1, 0x7afaf71e,
+    0x83708aef, 0xc15fc486, 0xa806230d, 0xa4b19255, 0xd8e357d3, 0x1f34d8a4, 0x203e5c3f, 0x161bc332,
+    0x6aa94be2, 0x3042515c, 0x18825e4b, 0xd2b8fea7, 0x97941bf8, 0x668b1736, 0x2ccb85fb, 0xaf15a978,
+    0xefdbe688, 0x4982cbd6, 0xd37cda3a, 0x641bb732, 0x938b6888, 0xc8e2ddf9, 0x6833047b, 0xbb00c9f2,
+    0x74df4087, 0x24e652e0, 0x81ac3c05, 0xebdd2233, 0xc18e8d53, 0xfef75e67, 0x608b7a78, 0xd45260fb,
+    0x7f12b5b3, 0xbeb22d85, 0x3216039d, 0xd79d8762, 0x3e1c89cc, 0x400f42a5, 0xbb40f162, 0xa7d12f0c,
+    0xbec8718d, 0xe0ba70dd, 0x3848e426, 0x7cb1718e, 0x1a3e28f2, 0xf9acc69a, 0xe5ed9ff8, 0x955f74f9,
+    0xfdacf913, 0x53ba8894, 0x02d90953, 0x70a38677, 0x46fcc5b9, 0xa2eb44e1, 0x13aaa4ba, 0x95edc66f,
+    0x9d4adc2b, 0xf27ed130, 0x00505473, 0x55ae5d42, 0x0adbe920, 0xc2ba458f, 0xa25ac8f7, 0x865891fa,
+    0x2009254d, 0x73667943, 0x4be31ee0, 0x34707ff2, 0xfaace8b9, 0xea25c211, 0x869a256b, 0x3e6b8865,
+    0xf1e79811, 0xbfebb480, 0xa04ac85a, 0x670aceae, 0x4c1e0563, 0xa9d7b8d8, 0x3e95b4f3, 0xbd9a2db5,
+    0x7942aefb, 0xf4bffa8a, 0x6b81a4d8, 0x075c8c61, 0x3d6e4ec3, 0xebf18be0, 0x90500189, 0x8be1f007,
+    0xf8cdfead, 0xea7cf1b4, 0x4d83d96a, 0xa21791e5, 0x5de4822d, 0x4b46958d, 0x461ccbe4, 0x667b3aa5,
+    0xa8c0406f, 0x7636cf57, 0x89c72c55, 0x1ebb095c, 0x2c1d5a8a, 0xdd5e480b, 0xb9058796, 0x4b6c52d8,
+    0x0724a714, 0xb0e1553c, 0x27d9a0f2, 0x17e508dc, 0x1c9576dc, 0x9435bdaa, 0x67338ed0, 0x9d641082,
+    0x3579065d, 0x5bfbc4a9, 0x16466505, 0xb55a7cbb, 0x359d9060, 0xfd05b579, 0xdbf588e9, 0x8eac2c0f,
+    0x069ab717, 0x78e9f926, 0x98eef13e, 0x4a76390a, 0x0049e9ca, 0x9631b841, 0x218699ce, 0x472cdaac,
+    0xaecc65f8, 0x19326257, 0x0c297ecc, 0xb95f9223, 0x105e5762, 0x0c53430c, 0xbd7c3481, 0xec38b343,
+    0x07c6b40a, 0x7157315c, 0x7147de56, 0xe5a77f1d, 0xedf1c65c, 0xdd023c8b, 0x9e7d8b34, 0x8fc425d8,
+    0x5ecf411a, 0xe0460e90, 0xf9eede4d, 0xe07d0b5c, 0xb8612718, 0x8b0a4422, 0x2e004fac, 0x4c472586,
+    0x61e49330, 0xd867f589, 0x39f745cc, 0xd427bacc, 0x1cbbb9f1, 0x8e5974ed, 0x95623279, 0x0cc126b8,
+    0x725c064a, 0xecc55452, 0x5bf20634, 0xb12e04c1, 0xfac5e7ff, 0xa7e95a6c, 0xbbe028ee, 0x05c292e7,
+    0x6db748cf, 0x103b32ee, 0x3b3ab71b, 0x21b05d77, 0x8d393393, 0x566b1263, 0x4e94c7e3, 0xf335a948,
+    0x843aaacb, 0x368755ce, 0xda1d9b70, 0x7950e490, 0x4b8167fe, 0x995494a8, 0x8659967b, 0xc6cc8a6e,
+    0x14d058cf, 0x6da1fb2b, 0x1b4b2157, 0x7a4ec086, 0xcb851f65, 0x2a276a61, 0x42075774, 0xcc5fbfef,
+    0x2bc8f143, 0xe4881485, 0x021c255b, 0x8a9c5a3c, 0x4906bcbf, 0xc21466fd, 0x213a4570, 0xfb55e896,
+    0xef8116c1, 0x716544e8, 0x27ff4dcd, 0x395b436d, 0xbe2fdc06, 0x1e7782ba, 0xce71330c, 0xd7b999a8,
+    0x97a924b6, 0x220f6ed2, 0x07bea360, 0x0b0cf0cf, 0xae3c4f52, 0xf67e9b30, 0x7354531a, 0x285ada42,
+    0x05b32bfd, 0x7ffb11f7, 0xccc1e73f, 0x0676925b, 0xc974a9e2, 0x6e636170, 0xd73871da, 0x5abc75c3,
+    0x3b5440ec, 0xadf0eeb1, 0x44f084f7, 0xe5721fae, 0x674ba953, 0xbdd8f3d6, 0x929e8e58, 0x0ceb0a31,
+    0x25a8bbae, 0x2399bc6d, 0x2ea8fdc9, 0x9e2b8763, 0x4a543119, 0xbab21aa2, 0x8a461119, 0xbe1fa07c,
+    0xd8f48106, 0x5a7c8232, 0x6cf21c5e, 0x089918a1, 0xf0ac04dc, 0x1ca5f7c3, 0x2b41e0ec, 0xa32cd57d,
+    0xa14dced4, 0x89f3c67f, 0x87cbd743, 0x20106dd9, 0x93ce4dae, 0xd6e7c7b2, 0x403601ea, 0xc2cb8151,
+    0x07683766, 0x91eb8333, 0x580d0d59, 0x09835a64, 0xe127a4c4, 0xe04af289, 0xa92714ed, 0xab7d697a,
+    0x093419fc, 0xf73d632b, 0x3c3781ec, 0xcc274eac, 0x0681a3b9, 0xec06e25a, 0x09f290fb, 0xcb9db3fd,
+    0x3b543348, 0x2f110efa, 0xe195e5f3, 0xf1129543, 0xd7ba45b8, 0xebd22d89, 0x6d736856, 0x484df2f8,
+    0xb90850a7, 0x01c059d8, 0x762ecf08, 0xfd930626, 0xf26e03ca, 0x480d25d5, 0x4bed60e6, 0xb15ee43c,
+    0xf743b12a, 0x5255b39b, 0x97a73d6b, 0xb9d88b6c, 0xd96575bb, 0xd4efefe5, 0x19facedd, 0x2f242256,
+    0xf6a16974, 0xf20b0828, 0x7d9be302, 0x1c671855, 0x85bf5927, 0x2038eec5, 0x2c72bbf4, 0xd365f43e,
+    0x188a9ecc, 0xdbb80f7d, 0xcd8c423e, 0x5b131f85, 0xc219fc7f, 0xeab21464, 0xde211348, 0xad2d3b12,
+    0xac3acc57, 0x08235f31, 0x52aeb836, 0x57b48532, 0xd4ff16ef, 0x8053fb1c, 0xff541a3f, 0x1c993734,
+    0x6897d34d, 0xda768dfb, 0x07ff0456, 0x5c210e67, 0x657c1bf7, 0x24b4c29e, 0xc561e09e, 0x357c11e3,
+    0xfe4d1c63, 0xfbf52413, 0x97d10017, 0x74184a52, 0xf6ace6ac, 0x81f06bd9, 0x532630ee, 0x8a07a340,
+    0xf0c0dd6f, 0xbb531e13, 0x3a55fe24, 0xf7b926b3, 0xc9517e8f, 0x5bfddc33, 0x054a715c, 0x6433ca0e,
+    0x29338649, 0x5eb5f22a, 0xc4296c68, 0x2b688b82, 0x422a5e11, 0x2b6a3d62, 0xb2e3fb1a, 0x0c0c0ad9,
+    0x9408a3e8, 0x7b257cdb, 0xec50072a, 0x1120f103, 0xbce34634, 0x59ce76e5, 0xfa62f441, 0xf2525b6a,
+    0xb2a49e35, 0x17d04ffd, 0x0cccffdf, 0xe43f11da, 0x7072a2cf, 0xa0c49376, 0x5785fd6f, 0xb782ee39,
+    0x7b816842, 0x382512df, 0x93e6a1f7, 0xfdb49b1b, 0x3bbb81c1, 0x314fb659, 0x366315fe, 0x983839f1,
+    0x8c3c660e, 0x2cd03c42, 0xa6107912, 0x17041086, 0x7c4174b5, 0x9d4bb946, 0x16fe3ce7, 0x25337129,
+    0xe31cc8ae, 0x3015853e, 0x3300db99, 0x531d7d8d, 0x53f70b73, 0x16028040, 0xd8b4d856, 0xfc662548,
+    0x1682d8f4, 0x70c96b07, 0x1daf0c16, 0xf9284553, 0x833cb94b, 0x25ea820d, 0x70de84bd, 0xc432e489,
+    0xe1834677, 0xf513b804, 0xd99c937c, 0x225a9af0, 0x30c0f4a9, 0x6a52bc12, 0xa889dac5, 0xb733acaa,
+    0xe7a6f168, 0xb2cffdd5, 0x04f40726, 0xc9855ee6, 0xfa49f3bc, 0x22853036, 0xe274b7f9, 0xa120577b,
+    0x24dcd1e0, 0xe42eb585, 0xd81063ff, 0x08ad00be, 0x8e1e1750, 0x68d3afd7, 0x73e08001, 0x7233b98d,
+    0x1d9f0f21, 0xe199d9b2, 0x81a9fc25, 0x679f6db8, 0xf96b6533, 0xba449aca, 0x7e3d3898, 0x88d07861,
+    0x958af77f, 0x1459e8a8, 0x01c0669c, 0xfb8c7092, 0xdbfee2c0, 0xb57e1168, 0xac3013b1, 0xabe582a4,
+    0x74ce0d84, 0x460b345f, 0xa87ad97c, 0x61b6b81b, 0x28fcec10, 0xad39aa76, 0xb82205e2, 0xc1f82a25,
+    0x735fcf4b, 0x6a253605, 0x279a82b1, 0x35d4500f, 0xd899bcdb, 0xf5cec7fd, 0x33c492bc, 0x5ca562d7,
+    0x04395865, 0x845fa425, 0x110cbeeb, 0x05aabae5, 0x29eec094, 0xd2a591a7, 0x200ff062, 0xfbc1d835,
+    0xbef0b320, 0x0021995a, 0xea313479, 0xb712dcf5, 0x1d446d39, 0xbc8f8945, 0x7f6c6666, 0xb484eb2e,
+    0xc8631417, 0x4539f52b, 0x9d9221a0, 0x6bcc3650, 0x8eaf6ea5, 0x53dbc23b, 0xc38525bc, 0x17966cb5,
+    0x586cb0e0, 0x6bf85c29, 0x47557122, 0x6fdbd83a, 0x9429504b, 0x2a279540, 0x06ef93e8, 0x2a2ee2e9,
+    0x05c848ce, 0xfdcf3ed7, 0xbdc09f7e, 0x6118fe49, 0x1e325d3a, 0x12007b0c, 0xfe92c435, 0x80651f65,
+    0xf73976be, 0x68f61a30, 0xa4f95e07, 0xa330da26, 0x66a94001, 0xb1687252, 0x4930811c, 0x8efe7fbf,
+    0x7e08050a, 0xe054c76d, 0xcf163704, 0x08cced47, 0xe4e46b43, 0x6312b3b5, 0x2ea1c587, 0x2b6bb7e0,
+    0x21af135a, 0x45f4c61f, 0xfaa17177, 0x666eea9f, 0xb0f2d03e, 0x1cb013b4, 0xcd8dfe50, 0x8e672c46,
+    0x8fd8e08c, 0x647182ec, 0xe0f4e777, 0xfe9a0021, 0xaecc2961, 0x36d50c2b, 0x1ef864dc, 0x3d41e71c,
+    0x849836f9, 0x7b42465a, 0x0fcb65b2, 0xb7020d89, 0xf76b11fc, 0x94cf3135, 0x1906d4c0, 0xf2882468,
+    0xe69c81c1, 0x2ab45d33, 0x20f81a5a, 0x9a6ad1d7, 0xd7b86719, 0x4ee6e9d6, 0x7f48a877, 0xe588d324,
+    0xce867b98, 0x2f125b2f, 0x4f7067a4, 0x7cd836ab, 0xfce8e23d, 0x872fb136, 0x1b29fba7, 0xf9b39a61,
+    0xeb83d05c, 0x0c0fd022, 0x50d9cef4, 0xc613370f, 0xa43da9c5, 0x7182f91e, 0x4c170ce4, 0xdd339e19,
+    0x21ce8963, 0xf6c61847, 0x658f03a1, 0x196547a3, 0x68fb738a, 0x4527a249, 0xbdd1422a, 0xa7fc0a12,
+    0x54563c01, 0xfa2f54b2, 0x0b388e22, 0xf9ea5fc3, 0x6f87a8ee, 0x752e19c9, 0x9bf0a2f2, 0x5887a4e3,
+    0x89589fa6, 0x683bcdcb, 0x5bcbff9a, 0x46c5b125, 0x7e73ab20, 0x278581b4, 0x653e0ba0, 0xa97e580e,
+    0x1ab026b0, 0xc22aa0ed, 0x03557151, 0x315b7597, 0x2c6351ff, 0xc21033d6, 0x2fd8fa3c, 0x59e728a4,
+    0x43e2c9d6, 0x3c17d6c5, 0xca4eaad0, 0x2b7b2caa, 0x1723da80, 0x1661a071, 0xaf57ebd2, 0xb733fa53,
+    0x2d47ec5b, 0xf3ee887b, 0x7ea0da6c, 0xe3c3aac2, 0x1c06f713, 0xb8e3b047, 0xfdb5b979, 0x431f8145,
+    0xf141a8f7, 0xcd69b081, 0xe7b1e0a4, 0x64decc12, 0xefc34ab7, 0x89a9d290, 0xd48cbd47, 0x25be8cea,
+    0x81787d60, 0xac8183da, 0x80d967e2, 0x4aef2c13, 0x18175f4f, 0xbfca3484, 0x1c9bc39e, 0x60126090,
+    0xda3f2350, 0x7bb4e363, 0x255adb32, 0xb7976765, 0xecfc5066, 0xa04b118f, 0x958e40c5, 0xabf40e82,
+    0xd36cfdb2, 0x0b794eba, 0x168b34bc, 0x18ffedbe, 0x74328985, 0x32fd6b97, 0xdcf6928e, 0xdb5dc697,
+    0x00000000,
+    0x9b2d8abe, 0xe9b5fb69, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000045671926166590716193865151022383844364247891968 */
+  { 0x00000000,
+    0x8c5db2ef, 0xd542113b, 0x6e8c76f2, 0xe3de35fd, 0xdac9cfbf, 0xf6c4c103, 0x9cd791b2, 0x22ca75f2,
+    0x5185a571, 0x386ddafe, 0xb08d0b9c, 0xf96c78d2, 0x8cc87327, 0xd5685cf0, 0x3e71439e, 0x3972588b,
+    0x6603eb34, 0x071fd58c, 0x7ce51b9e, 0xa7b46664, 0xb748773a, 0x8324492c, 0x4f86d569, 0x649295b0,
+    0x997bdb4c, 0x8ed9df94, 0xc8a320d5, 0x876d767b, 0x86b44cb8, 0x6f9c0e4c, 0xa3dd18c1, 0x2496b67b,
+    0x74ce6d4d, 0xa0eb5e5b, 0xb551a044, 0x7a35bbc8, 0x062f1f42, 0xe634fca4, 0xd5c38e3d, 0xd86ae41f,
+    0xafd895ed, 0xf74392aa, 0xbc7ba316, 0x26f529eb, 0x83acae21, 0x50047b25, 0xc12648f6, 0xead5af96,
+    0x21e07af9, 0x02b379dd, 0x9dac1f21, 0x918d9e59, 0x45db96c1, 0x0b919862, 0xe070cd1c, 0x27850651,
+    0x7467cb29, 0x048f521b, 0xbb0d5cea, 0x67e8eae8, 0x0d60f2c1, 0xe511a996, 0xa4b36cfa, 0xd8abbf11,
+    0xab63f3b1, 0x32f667bd, 0x1e130485, 0x49e8b3fc, 0xf9fc3c23, 0xc92a0124, 0x9a492c4f, 0xf1cb787c,
+    0xebf2b795, 0x6f1b7f4c, 0x8c7c270e, 0x02996309, 0x4c74327b, 0x6424ccfd, 0xc7fc2322, 0x56573365,
+    0x4fb4e6ae, 0xf40553b8, 0xee29fe55, 0x1425b1b8, 0x0e7fdc65, 0xd83a8178, 0x2984a2d4, 0x69844d2b,
+    0x8225d1b1, 0xc4541094, 0x78af66c4, 0xdd454a88, 0xc061d63e, 0xe2d97889, 0x52c1d4bc, 0xc57d94e8,
+    0x57149894, 0x8d2674ab, 0x496a7514, 0xcd2fbc93, 0x67ca0cb3, 0xda8f95c1, 0x51a22608, 0xb6784cde,
+    0x123fff1a, 0x5381416e, 0xf5e7d2c0, 0x9b8532e0, 0x2ac95830, 0x61c7ec9d, 0xa9ff1d95, 0x4f8e533b,
+    0x96f7ac8f, 0x474899e9, 0xb554a8ea, 0x5b6aa9fd, 0x12e11848, 0x2c08b918, 0xd6edc17c, 0x8a10c4ea,
+    0x8458ccbc, 0x94610646, 0x57eb2536, 0x50e1d9bc, 0x4d1d73c7, 0x956ca523, 0x30ac3ecd, 0xad87d443,
+    0x6212608d, 0x17baf27a, 0xc3d73085, 0xe595ffc9, 0x05112de4, 0x6bc81b2b, 0x16585c6d, 0xa75af9ea,
+    0x74689818, 0x246a1fed, 0xd00d7636, 0xa4b6c685, 0xe96f938f, 0x12b0e186, 0xa93f0fb4, 0x65dd1577,
+    0x3bf25d96, 0xc160e7d2, 0xf67abbb3, 0x30d78f11, 0xc843234c, 0x90180282, 0x6a59e223, 0x509f3a29,
+    0x934c8df3, 0x9fd9cc85, 0xf887f0bf, 0x1a25419e, 0x65dc7f6b, 0x50d90168, 0x01ece27e, 0xdfc9dc8d,
+    0xb93ee3d8, 0x8655f747, 0x75c7659f, 0xe8db8246, 0x08af470c, 0x09ec58bf, 0x5375bcee, 0xc2ad916f,
+    0x41f20dda, 0x5f77fe1e, 0xefbc6eb4, 0x1c5806ca, 0x84fe700e, 0x36d0dac2, 0xa4b4dcf7, 0x93abc3f0,
+    0x22b91c41, 0x543119a9, 0x7207d4c3, 0xbc61e6e2, 0x0f15259f, 0x89e3fbee, 0x38e48641, 0x5f0fa7e5,
+    0x915de840, 0x48bb187a, 0x4fe20127, 0x1f122aac, 0xe1c9cab9, 0x7e859b9e, 0x77f1ce95, 0xe6b29dbf,
+    0x6013e7d5, 0x8036d28c, 0xa17befc7, 0xc9b8f496, 0xb9052d94, 0xd90ab507, 0xe23a65ae, 0xe5f9bd37,
+    0xf0005e2d, 0xb4cb6113, 0x179d1860, 0x7ec24913, 0x9840d1b2, 0x65bb85e5, 0x78d26602, 0x66d88692,
+    0x5e8c0de9, 0x2eb432e3, 0x08365373, 0xef3f2fac, 0x2cef3c62, 0xd79f3d68, 0xa3fdb06c, 0x7b93e13c,
+    0x714dd056, 0xb53c4d63, 0x8962717a, 0x1aac152e, 0x7ae168fc, 0x87afe0c2, 0xab95e781, 0x3976539d,
+    0x60609ab5, 0xc0260544, 0xd75e7f03, 0x72b3470a, 0x0c307fdb, 0x2e5574fa, 0xe8707a45, 0x017d99e9,
+    0xc7df64e7, 0x97df15f0, 0x91e46a7b, 0x670f0593, 0xa34f3e35, 0xe1ce2553, 0x23ef7068, 0x5ec2de56,
+    0x45c3a32f, 0xb2830021, 0xa51cb03e, 0xa4e78479, 0xc0b66527, 0xea2a917a, 0xc7eca7e3, 0xb6a6b577,
+    0x8163789d, 0xc45db7ab, 0xcd8df1ce, 0x22450c23, 0x85f9e451, 0x83209eb0, 0x5bc6ec08, 0x12a6a59a,
+    0x449a86f5, 0xf2bcc4fd, 0x0677eccd, 0x6495127e, 0x80f754e6, 0x45d05c81, 0xe6fb6947, 0x9fc2fc7e,
+    0x3d91ac50, 0x1200d0cb, 0x46dff3c5, 0x88da6ea3, 0x8ed5c0b8, 0x410f31f4, 0x17f1ff38, 0xdfd744bb,
+    0x77f5f252, 0xdc3bce2a, 0xba76792c, 0x5d55f638, 0xcf74f1b2, 0xc46ac70a, 0x87feb63c, 0xe14767d0,
+    0xee9d117a, 0xa4a89ea9, 0x0d9c0b90, 0xcc51730e, 0xeb797eaa, 0xf3f6c4f4, 0x008db4d0, 0xcd066604,
+    0xc652c5a8, 0xb516788f, 0x16bff11e, 0x4102ac8e, 0x590fc23a, 0xcbddcbaa, 0xf6957d2f, 0x01184164,
+    0x66344560, 0x19860173, 0xb39696f3, 0x1dcb7105, 0x5cb5ccb1, 0x9649c39e, 0x41806ffc, 0x406eda74,
+    0x617b29a4, 0xccc603c8, 0x5cb0d3a4, 0xb9f89e67, 0x52fd0902, 0x7b086e3a, 0x324b0733, 0x1cd46c99,
+    0x0e4abc7f, 0x37e80735, 0x4621013f, 0x068df660, 0x2d2ca58b, 0xf6441835, 0x06bd97f8, 0x7ae86bcc,
+    0xe6523fb3, 0x16d4c448, 0xefd48c29, 0xce5f05f7, 0x321b91a9, 0xed2caa8f, 0xd6df0554, 0x07f3ec91,
+    0xc9c888bf, 0xb0944388, 0xfd1465b5, 0xe581de92, 0x75260592, 0x91c69e23, 0x5ff7ca34, 0x4ef9e836,
+    0x433b4d11, 0xd904bee7, 0x44de9686, 0x92b21f90, 0x832b533e, 0xe8ccd935, 0x55e93be5, 0x5ae3284b,
+    0x4766f956, 0xed1ac38a, 0xfb2a2208, 0x69d6e84d, 0x896e7e16, 0xc74647d9, 0x90fb6b0d, 0x46a2c0c2,
+    0x26fd3418, 0x0703de5e, 0x51e3839c, 0x95ac04a3, 0xf4c01bba, 0x73771fc0, 0xeb67d62d, 0xc49fd6f7,
+    0xcc8732e7, 0xc502e994, 0x83472b77, 0x7c881fe4, 0xc4a20bdd, 0x4178e9de, 0xd89b418b, 0xa7d5bbcb,
+    0x95649f03, 0x24bf58c0, 0x5d9d06b1, 0x622a618a, 0x4ac5ef6b, 0x98833535, 0xcbdf99f8, 0x2d56a3d5,
+    0xa6657814, 0x6b2dc41d, 0x98f84523, 0x3de68c3f, 0xa71a0004, 0x6768e09b, 0x638eb3d6, 0x81a0bfca,
+    0x4613928c, 0x503f8214, 0x540c6824, 0x4ea95dcc, 0xab2b672a, 0xed2698ee, 0x58b8a962, 0xa10cc194,
+    0x2128d6ff, 0xcf942df1, 0x61d1001d, 0xd6a09786, 0xaa85634e, 0x48ff5522, 0x508f7f5e, 0x3a7fcba6,
+    0xd0655a01, 0xd2e0fc32, 0x9da48303, 0xff671ba9, 0x3495a05e, 0xa1ddd215, 0x985f9f6e, 0x09dcef9a,
+    0x8fbdc387, 0xba5c6806, 0x964a8b99, 0x9e92ee61, 0x2d5f913a, 0xdd98469b, 0x668990dd, 0x93245d0e,
+    0x3d66eafe, 0xf92aa4a6, 0x3ea62937, 0xa6c8c741, 0xee0b6bc3, 0x676de382, 0x2cdbf4c0, 0x4da2e253,
+    0xc19b2013, 0xbed65455, 0x82973e4b, 0x1bf8c14e, 0xde31826b, 0x1b65451c, 0xb47c0675, 0x637cca99,
+    0x67137ce0, 0xba7dbea7, 0x4d3d83e3, 0xb1f1942b, 0x60cd64a2, 0x265e9225, 0x928c05ff, 0x8c4d1978,
+    0x39e5205c, 0xdae75176, 0x7ac509eb, 0x2b473cfd, 0x3077b92e, 0xc8c500b9, 0xe25efb42, 0x070f4fa7,
+    0x2ca30b13, 0x484c365a, 0xfec75d22, 0xca34b4cd, 0xbcd3da1e, 0xaf6aab6f, 0x5cba1404, 0xfda4e71a,
+    0x11462b9a, 0xdd187ed5, 0xfaf0580f, 0x0ed33083, 0x71c7e3b5, 0x4ba4b3bc, 0x2e935a9a, 0x5ed35fc0,
+    0x4112a21c, 0x3fe671d2, 0x938da3b9, 0x69e15dac, 0x7b7285d8, 0x7628610e, 0x6b803ce1, 0x1db23032,
+    0x85379df2, 0xce4bf0b8, 0x0b4c1974, 0x97f7383b, 0x4bbf573d, 0x5ec7c826, 0x74f47771, 0x0f386fc4,
+    0xe4c4aaeb, 0x1c66f16f, 0x5641a84c, 0x4aa24d69, 0x4c391658, 0x9e269d05, 0x230e0d2a, 0xf3a0c178,
+    0xa871f661, 0x121263cc, 0x4ff8aa9c, 0xa0486e39, 0x4e5eba32, 0x83fb9140, 0xd5cb7144, 0x17b99817,
+    0x01500ff6, 0xe9561815, 0x0ba7e83c, 0xac1dc7e2, 0x4a517ca5, 0x76a8b49c, 0x42e37579, 0x33a01e2c,
+    0x7b43dd21, 0xa3bbe4a2, 0xc7a4c7b1, 0xfe129e2d, 0x3c1f02af, 0x1745b4df, 0xb7099629, 0x25d122fa,
+    0x66728e5f, 0xc218795a, 0xdc8d5e18, 0xf59db304, 0xdba44d50, 0xb7ec9068, 0xc86fb1b5, 0x46f049c3,
+    0x05ac66bc, 0x6ea27792, 0x6fcb2a30, 0x2fd755c0, 0x9ed23c71, 0xb3951c9c, 0x620c1b15, 0xc37f93d3,
+    0xe7fdb97e, 0x01720c78, 0x158d2fe9, 0x9600e756, 0x15a6d8cf, 0x84ce0199, 0x17bdb89f, 0xeb651a1f,
+    0xf0f2cead, 0x246b4f50, 0x7acfa11d, 0xa647f4f7, 0x071f1414, 0xc7555e7a, 0x1bad83a8, 0x3b3be1b1,
+    0x63d2620d, 0xc7a8cfea, 0x1f5a3469, 0x9dad8bab, 0x5cab4a6e, 0x1d7b0ab8, 0xc7625329, 0x56ee1c61,
+    0x05303ee4, 0xd22ae341, 0x19be2834, 0x4511129c, 0xa804e8b4, 0x11ac22a2, 0x690360f1, 0x543a6a0d,
+    0x671d99a9, 0x099ae772, 0x225bcf92, 0xb9ff7863, 0x9eecbf06, 0xbcf22ab9, 0xf2051a7b, 0x925b035f,
+    0x7f448389, 0xa1e8ac75, 0x6920f8b8, 0xb325202b, 0x7266a2f4, 0x03c642a2, 0xe3d1a6b7, 0x5f275844,
+    0xa1fd9795, 0x872d8983, 0x3737cf3a, 0x03b57c05, 0x4e1bfa89, 0xb4573d04, 0x7e1e09d5, 0xe2c55e25,
+    0x8ace9153, 0xd4bc9f65, 0x9028d636, 0x0a17206a, 0x88432832, 0x8071fd31, 0xb776715d, 0xf87791bf,
+    0x33791665, 0xf3e49a59, 0xff1839a9, 0xd4aa4be3, 0xfcd71456, 0x1185264e, 0x529407fd, 0x7ccc7274,
+    0x7d5f51cb, 0xf564c7cb, 0xf8cf3796, 0x5537e02c, 0xf7f961de, 0xe1e630ae, 0xa31702b5, 0x86cfd1c5,
+    0xa6d9f1ae, 0xdbdbe3ba, 0x3dfc04c5, 0x0a70cef1, 0xa4d943bc, 0x61978214, 0x7fcea702, 0xe35a9343,
+    0x76c1fae3, 0x93c57513, 0x37122037, 0x051f4026, 0x3f011785, 0xa5ac5e0b, 0x7b432ca1, 0x2d55a7a3,
+    0x4825fbc8, 0xa35c3b8e, 0x36ff437e, 0xe72b24eb, 0x4080365a, 0x0bd3160a, 0xde5fcf91, 0x63f2ee33,
+    0xf645e520, 0x730531a3, 0xa59eff68, 0x671e2488, 0x3aa7ddeb, 0x2c1448b4, 0x8abb9933, 0xcc62ad97,
+    0x75f60ada, 0x9bc052fc, 0x4ab409eb, 0xde3daad1, 0x6bdf7a69, 0x071d5a96, 0x18d379bc, 0x47d133d6,
+    0xc1bd80bf, 0x904c5060, 0x652f57e6, 0xe74d3e96, 0x51d99cb5, 0xe7328bdc, 0x26dd79d9, 0x735a7884,
+    0xa549f254, 0x43b34ef4, 0xe2c0edee, 0x70f47de1, 0xba0eb98b, 0xc705c845, 0xd94771d6, 0x80226fcc,
+    0x4338306a, 0xd6bdeadb, 0x7300481b, 0x79b433b7, 0xb48eeb8f, 0x05e41f03, 0x0041f6dc, 0xc68dabe1,
+    0x67ffbb8f, 0x28878007, 0xf95fa2c2, 0x7f3cc208, 0x9f8632b4, 0xf265861c, 0x0f81b4ec, 0xa1819794,
+    0x136ae559, 0x07bd45e0, 0x070470b4, 0xfd4c133f, 0x8f8c31fb, 0x50672a01, 0xb2b12ecd, 0xbd6556c4,
+    0xbc95b7c1, 0x3d5bcc1c, 0x60abd8e4, 0xf19b0f9c, 0x8944db1d, 0xba6f5baf, 0x8545e71a, 0x586ff349,
+    0x1f88b5ce, 0x53ebd3c3, 0x1dee327f, 0x0c1805fb, 0x157c338a, 0x04c7d7e3, 0x2e37fd89, 0x41523d6f,
+    0x65d6b406, 0x66f462bd, 0x5093b13c, 0x7094298f, 0x5fd7c56a, 0x050af1d1, 0xc946246d, 0x84fbaab1,
+    0x59793eec, 0x76572ed0, 0x1e9da927, 0x33fd5aad, 0x8b19da62, 0x4a1a8c36, 0x308ab6da, 0x91871d25,
+    0x2ab0996a, 0xae35fef6, 0x6ca3c099, 0xc50402dd, 0x1c22ca43, 0x243dfefb, 0x89b710ee, 0x0e59e74d,
+    0x6f947979, 0xe4005475, 0x562c9bdf, 0xab703a9d, 0xa7d3bfd2, 0x59eb56b7, 0xeb4306d7, 0x8592f41a,
+    0xc4ce1426, 0x1d3cc874, 0xe608f533, 0xc9cd9419, 0x145c9b3f, 0xbc6191eb, 0x3e6c6064, 0x3aa061e4,
+    0xe6922be8, 0x50452406, 0x8c092b87, 0x59412fc8, 0xd341a3a0, 0xf001c3d0, 0xbfcdadd6, 0xc4d7f843,
+    0x5c7ac341, 0xe8f59ae3, 0x1739bbd3, 0x6e396324, 0xd8fed887, 0x24ae51e6, 0xfc9bebc3, 0xbd08f01c,
+    0x95075fbf, 0xfc51cf81, 0xf345a05f, 0x13f529ee, 0xd9206733, 0xa87ad65d, 0x8f6c2036, 0x868ebf25,
+    0xdc2660c4, 0x4fc9051b, 0x64125c9c, 0x25a3cd93, 0xd5724d69, 0x63f31010, 0x61750b99, 0x49e1af49,
+    0x01910a18, 0xf8c484e9, 0xda919d1f, 0xa9bd116c, 0x2551b9b0, 0x9e042e1a, 0x6c4a146d, 0x2ebf9d96,
+    0x72291f71, 0xb4caeb72, 0x53e66519, 0xbf6ba210, 0x703557c3, 0x56db2743, 0xd4c003e2, 0x9fdee893,
+    0x3f719637, 0x46396e3f, 0x82bbb4ff, 0x27fe5f4f, 0x3abf4882, 0x157e0ec9, 0x3a4db85b, 0x810a8581,
+    0xa2fd45b9, 0x82d3821a, 0xda6e8bfe, 0x5ef3ec2c, 0xeb48b4e0, 0x6960d3b7, 0x7db3762d, 0xfd0e40cd,
+    0x563ae7b6, 0xfc7730f2, 0xbed6b6a4, 0xff1556a5, 0x05ae45a5, 0x347c4ce7, 0xbf2efb8c, 0xdf2a9b7f,
+    0xdaa48a29, 0xa2c46c07, 0xaa1ff4b1, 0x495de69a, 0x62ce594c, 0x28b07f4c, 0x60324db0, 0x0fe202e3,
+    0xbe83c4bb, 0x681377dd, 0x085668b3, 0x3bb3332d, 0xee851b23, 0xf6f661b2, 0xece3c630, 0xcb167192,
+    0x89ec2ab5, 0x635181db, 0x2baf4474, 0x39128ceb, 0x336d04c1, 0x95a06171, 0x62b0ca27, 0xbb434b79,
+    0x1fb773f1, 0x7a5adbb1, 0x16afd705, 0xe2d3ed14, 0x2b5d3b35, 0x448cad09, 0x43f47851, 0x76257d03,
+    0x7410de20, 0xe91249e5, 0x576d2c29, 0x152afb5d, 0x4c0afe24, 0x15be58f4, 0xed58eb87, 0xaea0e6e6,
+    0x1ff184a1, 0xb7ba18ec, 0x8cf13159, 0xe487ef49, 0x002a32e6, 0x643255d7, 0x0ab35810, 0x811c2209,
+    0x4be70596, 0x94ed9df4, 0x8dc1bb74, 0x52325032, 0xda6feb12, 0x896a8303, 0x604fdcb9, 0x8e0ddb4f,
+    0x47c4a80f, 0xf80829d3, 0xa210c089, 0x551545a2, 0x019486fa, 0x83a88752, 0x3dd31ee8, 0xd248c03b,
+    0x931a3dfc, 0x016ae70a, 0x06fc1864, 0x24c38335, 0xa016870f, 0xeba8e46e, 0xe6443324, 0x674d6ead,
+    0x1ddaf889, 0xe0fa759c, 0x37b8de5a, 0x10febc89, 0xd3928285, 0xfd4a7040, 0xb91825a7, 0x09cb6aac,
+    0x580d8728, 0x3be268f7, 0x035d9467, 0x33eeb61f, 0x92270a4f, 0x0289b755, 0x59fa62df, 0xfd7aa1e6,
+    0xe0062a9b, 0x7bf34bf1, 0x5049ccdd, 0x7a24a4a6, 0x75585a04, 0xaac3905e, 0xe47913a5, 0xaa872e7c,
+    0xbc073959, 0xb3cd609d, 0x50f0ac03, 0xcf4deb9a, 0x7eb2c5e2, 0x3c417b3c, 0x593725f1, 0x6137b731,
+    0x2ba31e49, 0x8e3bcf3b, 0x54732398, 0x91350777, 0x86d978ae, 0x32d5de6a, 0xb82fabbe, 0x9fd2a2e3,
+    0x09a1f7f2, 0x08502ca5, 0x28644f57, 0xa29e09d0, 0xb30e93e5, 0x5a8065ec, 0xb3bd1df0, 0xa5a8ae6f,
+    0x268dbef8, 0x5cf5f116, 0xa58353cd, 0x0142389d, 0x700b2c84, 0x4640b1bc, 0x960bb378, 0x5c62962e,
+    0xbce4bf70, 0xd37646ca, 0x66577df2, 0xf5f097d8, 0x6bbfff3e, 0x0f48c30c, 0x4fa9b840, 0x9234b880,
+    0x579764c8, 0x4d5af771, 0xf6fb50d3, 0x7b33b812, 0x423eb048, 0xb3b9aa0b, 0x985fb559, 0xc40d64d9,
+    0xe59b3d42, 0x66abeed8, 0x21b05e67, 0x98fa84bf, 0xe7378c7b, 0x88372100, 0x3793748a, 0x47d43836,
+    0x84ed6b06, 0xb9d54ab5, 0x7f00ac97, 0x0f7e8314, 0xfb7c4e8f, 0x31895b65, 0x865aef20, 0x6e07ad7a,
+    0x5beb676a, 0x4c579929, 0xbd41e92f, 0x850b6a30, 0x205835b2, 0xe9464c3d, 0x7784c07f, 0x55660b19,
+    0x225ec836, 0x3ac0631e, 0xbeb06115, 0x2b5a8654, 0x4ee7b390, 0x2c113f35, 0xbdbccc99, 0xda6008fd,
+    0x39358d76, 0x11d6ef0b, 0xb0ba4a78, 0x5ee2d16e, 0x15791ad7, 0x1f0c20dc, 0x8dd85b51, 0xcea8ce5b,
+    0x9b4720a3, 0xd5422fe2, 0x53b4f5d2, 0xc35e5aae, 0x1716ff28, 0x1c917f16, 0x5256433a, 0xecf9f00a,
+    0x00000000,
+    0xcd96c55e, 0xf4dafdb4, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000022835963083295358096932575511191922182123945984 */
+  { 0x00000000,
+    0x38efb548, 0xf45c183d, 0xed8825e8, 0x29da9701, 0xc3e809bf, 0xecee0cb3, 0x3320cfa5, 0x9808d9af,
+    0x35614104, 0x3aebf2bc, 0x1ab68294, 0xeb51e6da, 0x91b19105, 0x696e4442, 0xad0dba75, 0xcf152baa,
+    0xba43c808, 0x49d28a89, 0x292bdaf9, 0xd0d88441, 0x7c77d72f, 0x2bc22e9c, 0xfcb02253, 0x63b43fd9,
+    0xa5cf2daa, 0x972e84c7, 0x803cc7f5, 0x801c27b2, 0x7d593e46, 0xd983d1f5, 0x0bf89c0a, 0x1b7aaa21,
+    0xcc0125f4, 0x06de57b1, 0x82d71470, 0xb44d3dbf, 0xccb9eb00, 0xd87ec689, 0xcfd5477d, 0x695d1a53,
+    0x5695c07b, 0x76d89cd8, 0x5350c272, 0xcfb5c44b, 0x98e4a114, 0x83e1500e, 0x0139d8d7, 0xbbeb86f4,
+    0x127b2cc7, 0xce32f704, 0xd5e21b67, 0x6ddb8e09, 0x6cbdfda0, 0x0e866296, 0x2812a68a, 0xf0f85bbb,
+    0xface2f4c, 0x315de26d, 0x43fecfe5, 0x64a8c307, 0xc7d036c4, 0xfe95d612, 0xc0792b64, 0xd9a31638,
+    0x9614863c, 0xbf75d175, 0xd130e168, 0xfc92898e, 0xec218fd6, 0xc1374929, 0x319a3200, 0x85601bdb,
+    0x7d464091, 0xec5014b0, 0x64c765e5, 0xd8010d1e, 0xf6ba2a1a, 0x095e78e5, 0xc8c8efef, 0x1f2311a8,
+    0x91c62820, 0xd4a14e9e, 0x1eb418a3, 0xb274a117, 0x796287c4, 0xf73bf97d, 0x7e95382b, 0x86b68b98,
+    0xa49f5fcd, 0x04d6c84b, 0x9d21c343, 0x52b96438, 0xbaf4a240, 0x6fc338cb, 0x508461fc, 0x53d7ff0a,
+    0xd5f2b680, 0x3a9e4d0f, 0x245aa8a2, 0x630a3432, 0x05d1da4e, 0x727e8171, 0xa55c5466, 0xec486672,
+    0x882196a4, 0x872778e6, 0x61bded2b, 0x2cfaaf19, 0x4d6705de, 0xa455b89d, 0x8411cacd, 0x6d545937,
+    0x1c1a91e4, 0x62550551, 0x8f231da1, 0x63d07268, 0xa1578d8e, 0x702136e4, 0xeb19c552, 0x07a8308c,
+    0x05a1eb61, 0xde89cb0d, 0x1d8ad7f9, 0xcbf8ebb7, 0xe5e49d06, 0x2cde04d2, 0x9f715eae, 0xf74e92e4,
+    0x88d85d95, 0x1d65c0b1, 0x32fee40a, 0xacaec3b6, 0x6a8b2907, 0x43c3d9aa, 0xc108f77e, 0x6e6e0393,
+    0x1b7ebe0f, 0x09d24246, 0x59659c5a, 0xa39efe0b, 0x5a21fa00, 0x0ffab70a, 0xa67fefd9, 0x14d330de,
+    0x97d86008, 0x656df919, 0x44571c1c, 0x5d07a584, 0xaff3bc06, 0x5e6fc061, 0x8c7aa0d6, 0x0eb1087f,
+    0xfc721548, 0x72097bc8, 0x09db5e48, 0x48e8f4bd, 0x03d9a860, 0x38847aac, 0x111629ae, 0xc4330f49,
+    0x52f267a6, 0xda2dd561, 0xc16e2393, 0x357b2cf1, 0x838cd069, 0x9d18065f, 0xbd0a8537, 0xf15a7c91,
+    0x660a3d33, 0x80a0498b, 0x833073a0, 0x084bac23, 0x9a869f58, 0x1ec9061f, 0x2d6ce598, 0xe93dce64,
+    0x0bd2cfc8, 0x7220fc8c, 0xa072a628, 0x2fe5fb86, 0xb75f294a, 0x55eb7c7a, 0x86d6ad3d, 0x679058b4,
+    0xcf53fe7b, 0xdc8a3d92, 0xd7ede276, 0x70be2171, 0xf4b95cfd, 0x74a41f3a, 0x9b3ed59b, 0x1ca80410,
+    0x1b83f799, 0x06bce53e, 0x8436563a, 0x784d8818, 0xb97b0770, 0x6dbc2f15, 0x62bbf322, 0xef8313a0,
+    0xe38673bd, 0xc7225564, 0xd34d0871, 0x2e365eed, 0x64f05f01, 0xa9f061ed, 0x50e86b52, 0x2755a951,
+    0x477cb87d, 0x2d987520, 0x5b1f0ed9, 0x9e2a63d9, 0x6fed79bb, 0x791c0250, 0x6c3bdfe9, 0x1cdd8f19,
+    0xde92f172, 0x5ef972d3, 0xb9a36b02, 0xc39340c4, 0xc1a2b4cb, 0x514d1a55, 0xfed60750, 0xc39be3de,
+    0x62fbc128, 0x1cbd982d, 0xb32608fd, 0x94297278, 0xad6f9cd7, 0xe49fb7ee, 0xed6f43aa, 0x664f85c3,
+    0x59dd0398, 0x685052e0, 0x8550f78b, 0x322f7f49, 0xa8972526, 0xe530cf09, 0x53d51894, 0x58dd8ae3,
+    0xb424c110, 0x3f740b5e, 0xac99d8e5, 0x67cf9fdf, 0x66af9097, 0xbffa2ae1, 0x917967b5, 0x9d5641c2,
+    0xaa2bb68d, 0x4022940b, 0x4fb7a424, 0x26e6c355, 0xc30e9bb3, 0xb2780029, 0x1f480e52, 0xa8021f85,
+    0x9cf29e73, 0x56cdb7e4, 0xbd708576, 0x65604ebe, 0x6f61d02d, 0x82e61a89, 0x31f0391c, 0xed4364da,
+    0xfa873752, 0x8c044aea, 0x1aa52cc2, 0x8b17796e, 0x766ac87a, 0xa5ee380c, 0xa2e88b37, 0xbac532f9,
+    0x18dcce1c, 0x032e39ac, 0x08c1cc70, 0x9304defc, 0x6ae88a2c, 0xd4c82c4f, 0x75796448, 0x8d128755,
+    0xb3f77884, 0x1bc11d0b, 0x8becd7ea, 0x3e5ee4fd, 0x6d92d46a, 0xd12fac11, 0xd4671c03, 0x892d61da,
+    0x952e2e9a, 0xa3684a80, 0x8d80634d, 0xf02b9d44, 0x2c1cd022, 0xd866c78a, 0x069927a5, 0x891301d3,
+    0x3b12ee9b, 0x63acaca8, 0x5ed90158, 0x3975d9de, 0x8affedd9, 0xe1cbc0ca, 0xf7fe3f55, 0xc132f122,
+    0xf901064d, 0x4ec4035f, 0xcc06aeb3, 0x98735fd5, 0xbb05a933, 0x461ceb63, 0xeb20592a, 0xb5298f3e,
+    0x769d766a, 0xe1f7a4b2, 0xb64d3533, 0xecce5f18, 0xba4181ce, 0xc9e41810, 0x4f380f30, 0xc435f15e,
+    0xb239138d, 0xe0267bbd, 0xb03d9999, 0x27a9747d, 0x4213ecfe, 0xd68a8316, 0x72926016, 0xa5e4e0a8,
+    0x0d77057f, 0x1e18f0e0, 0x9a73ad5d, 0x5210063e, 0xeb418960, 0x530546d7, 0x9a5f57b7, 0x543f7f27,
+    0x7a07fd33, 0x3b11be6b, 0xee80c989, 0xe60deb50, 0x6f771475, 0xcfdd0d86, 0x8c377045, 0x0f25b371,
+    0x9f774922, 0xf61845a4, 0xa2cef6aa, 0xa16d6d5e, 0x8a16f554, 0x4b165b27, 0x3dc60251, 0xc01f1d67,
+    0x63b08585, 0x080f5e20, 0x555f4587, 0x217b41d3, 0xa36d0bbc, 0xf85a28d0, 0x7887016d, 0x19b58821,
+    0xe46f39ba, 0xe285a2a8, 0x06dcc9cb, 0x6cbf8735, 0x36043295, 0x17a299e0, 0xb6e75c17, 0x1fda7dca,
+    0x04466a68, 0x80ac04c0, 0xf96692c2, 0xb5813010, 0x031c246d, 0x6ddd14c4, 0x551ee66f, 0xbed0d8a0,
+    0xc5e73496, 0x618f3c9b, 0x5d29bf9f, 0xc9c11b5c, 0x8ada895a, 0x7b2895a8, 0xb16182c2, 0x303e1a8b,
+    0xc4888109, 0x936879e8, 0xdbec7404, 0x78e77bd5, 0xb4a8e6ab, 0x54762e32, 0x16589955, 0x8baadfec,
+    0xb34fb596, 0x2e6e50f6, 0x5ba9e770, 0xa019c87a, 0x3046f201, 0x91d55cc9, 0xa5b1249a, 0x9daeac4a,
+    0x2fdd4dcb, 0x61eb11eb, 0x7644212e, 0x72eb9233, 0xc52a300b, 0x7be8857d, 0x707c0894, 0xbdb3f581,
+    0xbc2f4580, 0x4146721f, 0x707672d9, 0x46080c26, 0xbd656a9a, 0xd514f2cb, 0xdd5fab9a, 0xa7db1fa1,
+    0x78182f77, 0x78486390, 0x65d0e47e, 0x2e801b07, 0xb9fa598e, 0x9e86cb6e, 0x7a58dd5b, 0x5f770d90,
+    0xda59ff27, 0x7a8defa4, 0x2d3a27e4, 0xde4aaaf4, 0xe0193782, 0x4e0d225b, 0x22073de0, 0x770764fb,
+    0x064a3e20, 0x49525d32, 0x05b20711, 0x5bf74419, 0xf7543a10, 0x73318fc6, 0xb98a16e7, 0x8e3d524b,
+    0x60d7d510, 0xb5a149ca, 0x6707ac2b, 0x5e28ad97, 0xbb7f5169, 0xb69f128c, 0x8c70a1fb, 0x8c24b43b,
+    0xb9f5a620, 0x6c0c9b08, 0x4fb7d5a9, 0x4227fe83, 0x0daf17cd, 0xe01161f4, 0x780ceb98, 0x453b4a52,
+    0xffc5a6af, 0x5bfce516, 0x63ce745c, 0x04614586, 0x23cff5fd, 0x2be095b4, 0x8a8b3554, 0x175d8775,
+    0xfcd2a9f3, 0x8ae39c82, 0x9453a89a, 0x47c89702, 0xbaeb6ca2, 0x6f1db0d7, 0x0d6a8353, 0xb724f2a2,
+    0x3e5c34e2, 0xd09d8488, 0x6e72fd8f, 0xee38ebe1, 0xc48d1285, 0x5208d78b, 0x93736614, 0x22326425,
+    0xdaf32d2f, 0x60e731d1, 0xb9c9fcb1, 0xb4f5af29, 0x175a8470, 0x716913c4, 0x581730ef, 0x264404fa,
+    0x3f8640bf, 0xf20ec1ea, 0x41292bcb, 0xff2265b1, 0xae43481c, 0x5ef9c028, 0x814b6232, 0xb7fc778f,
+    0xbf777479, 0x9b4acfa4, 0x94da9359, 0xf8a26e85, 0x42f2f473, 0xf8945ec6, 0xaaf8f488, 0x2dc2817c,
+    0x66087da7, 0x18228f68, 0x28eddaf2, 0xf8525785, 0xb594a278, 0x4623cc69, 0xcca5124e, 0xb031553a,
+    0xbed4fb20, 0xa01c71c0, 0xd88031be, 0x012aa5dd, 0x3fdffe4d, 0xabe3b041, 0x24a4cff3, 0xd5e4f941,
+    0xfe834d50, 0x5cf365da, 0x5d521de6, 0x4143e627, 0x2f24307a, 0x0dd8ad10, 0x882cedca, 0xc6ef1d83,
+    0xa4b3da41, 0xfb2a1333, 0xab3bc678, 0x758b65a4, 0x6c5356a8, 0x563959f5, 0xbd0f98cb, 0x516abce6,
+    0x8c9b74ff, 0xaa58e234, 0xdc08a4da, 0x8af70b3b, 0x43faecdb, 0xdc111144, 0x8d84c89c, 0x8b79961c,
+    0x82abc848, 0xc471e909, 0x4800b864, 0x94aee63b, 0x9eb8d728, 0x486b616e, 0x2e799141, 0x6afa09ec,
+    0xb6c09ce5, 0x9ce92233, 0x5c5fa6f7, 0x6aa88efc, 0x91018912, 0x852f25b8, 0xa9aa4d46, 0x42dd737d,
+    0xb87cedc6, 0xac82f6f6, 0x077b8568, 0xff59c8d4, 0x324f2e4d, 0xc548f6fd, 0xc7334a28, 0x073618f1,
+    0x51e1236f, 0x8b3d6cad, 0xbddaa406, 0x67675d42, 0x2f3eecb8, 0x9872e661, 0x8168eb00, 0x0fa538d9,
+    0x80ee0f53, 0xb8d177f8, 0xbd22b774, 0xd1335ef9, 0x1543022a, 0x07e8d325, 0x7e403a2b, 0x71801a13,
+    0xfc81215a, 0x01adf9da, 0xa32d2aca, 0x6c0cc4bb, 0x5cb8516a, 0x61a63811, 0x998a6f62, 0x67bf3648,
+    0x99f62709, 0x0664f1a2, 0x7920fae3, 0x8336b9c2, 0x5319d8bc, 0xd32c6496, 0xd1a5f4b6, 0x9c6288ab,
+    0x541ab19b, 0xdaadc998, 0xaf39791a, 0x29a64b90, 0x8b658ec9, 0x625f7b99, 0x7e671792, 0xcd12b56c,
+    0x6f644b3a, 0x5032a71e, 0x95d14d0f, 0x2e5d1589, 0x3c734877, 0xf1d73195, 0xcbbfc5b9, 0x9d6a8c36,
+    0x1e03233c, 0xa4800b15, 0x3f90fe0b, 0x9ec66079, 0x257f9741, 0x835800b3, 0xf87d4e7b, 0x5101fdb5,
+    0xddbfe56c, 0xd3bf98f9, 0x6658a596, 0x3f4c3243, 0x33d0f2ed, 0xfc269d67, 0x82b86402, 0x69455713,
+    0x93db7687, 0x99a0b114, 0x83095b48, 0x6a5500c5, 0x3334b6ed, 0x90de6e9d, 0x7681ba1f, 0x48ccc439,
+    0x8e107656, 0xecb0eeba, 0x090504fe, 0x767f450d, 0x14a6dfcc, 0x53a2499c, 0x52b8b417, 0xd3a81af2,
+    0x409e47ac, 0x34165e2d, 0x76cde56c, 0x1087436b, 0x2464fce9, 0x72c2ceee, 0xcb4c594a, 0x62871382,
+    0x4d586cac, 0x6a7e8269, 0x6aeff03b, 0x7c9c98eb, 0x53ddcb49, 0x93b846e2, 0x8d748f6c, 0x86a2f3af,
+    0x79e981cd, 0xf72a526b, 0x53d1f849, 0x7eaa58e5, 0xecf32970, 0x7e91dc95, 0x10ea4287, 0xcfa3d918,
+    0x8ababccc, 0x99c95b38, 0x7074cadd, 0x8165b822, 0x41329fde, 0x9fffc8e5, 0xaafd076e, 0x3c7423e2,
+    0x8d3b4b8d, 0xe5e74958, 0x5a96ad97, 0x3f5f2780, 0x29126e55, 0x97dc65f5, 0x2e69f165, 0xf4d417ed,
+    0x3e825d55, 0x43fed7f5, 0x43af5d97, 0x0cc37701, 0x0ca0817a, 0x1fd94bbb, 0x29cb5772, 0x55328765,
+    0xaacc3fb6, 0x67988c2f, 0x0702e7e3, 0xfc67c0dd, 0x0291ce91, 0x9a7333c9, 0x4c4c9fea, 0xa5cb5e51,
+    0xe303611f, 0xf2def1aa, 0x0e08c847, 0x8cecc839, 0x52f7681f, 0x81f75763, 0x4dd9a911, 0xe875db84,
+    0x14ca569d, 0xae7d6d6b, 0x536ad22c, 0x212168d5, 0xf1fbef84, 0x6cd38f93, 0xf6f69578, 0x1b3bc3be,
+    0xebd1196b, 0x342ec826, 0x19469602, 0x7c548a48, 0x06c8e2c8, 0x054b5d68, 0x4618f197, 0xfaef2e37,
+    0x66c5519e, 0xa815e049, 0xb6b6a373, 0x0cf3d98d, 0x2dc67e27, 0x7e7f61e9, 0x5a901c85, 0x18d3695a,
+    0xab9b8e21, 0x1cc7df32, 0x98c941a7, 0x7b129388, 0xf1725bf8, 0x6e2c04d7, 0xde7c3c8c, 0x20bd0aa4,
+    0x22958d08, 0xb2d43df6, 0x7bd14e28, 0x3baecb38, 0xd114b3df, 0x529eadc4, 0xb45ac1a3, 0x8e057a9d,
+    0x10ba5cc8, 0x47661f37, 0x69556139, 0xc02dc02a, 0x8acb9e9c, 0x9cc91e1f, 0x6993a088, 0xd1524f2d,
+    0xe6e73b04, 0x7127cdc4, 0x768c2d84, 0xbddbf39e, 0xb85333bb, 0xf93d743a, 0xab2051fd, 0x9093a922,
+    0x0a126bb8, 0x4ae8692d, 0x7a0743fd, 0x6241cbca, 0x7b76c433, 0x15873d02, 0x2af03b12, 0x10f7d7b7,
+    0x94f51d40, 0x76ccba12, 0x6606b8e2, 0xc3178ec4, 0x79f03216, 0x0dec8a68, 0x84d0bc76, 0x3552afe6,
+    0xd97b84b8, 0x4841e246, 0xc22fcd92, 0xe4b84132, 0x9f727a8d, 0xe167989a, 0x4801b469, 0x57ccb62e,
+    0xeb80c07b, 0x81e88d19, 0x304b1e32, 0xe5ef5ab6, 0xf8d9e0be, 0x3b53d1ce, 0x3b51092d, 0xe411c4e0,
+    0xf5ad9760, 0x331df053, 0xb7d6c0e4, 0x40acb165, 0xd51cb827, 0x439c81fd, 0x92db2905, 0xa8773d02,
+    0xed164c67, 0x0837e60d, 0xf1a72267, 0x19de6229, 0x05c07ab5, 0x36657f8e, 0xd4a1ab08, 0x1145b482,
+    0x0420706f, 0xc909b36c, 0xd460299a, 0xd7158769, 0x92dd2e06, 0x4542d345, 0xc7739c9e, 0xfaf05940,
+    0x66d07abb, 0xaad38b82, 0xac0bbe73, 0xb79e7211, 0x1bb51529, 0x171d4fe3, 0x4424f22b, 0x18f2fc7a,
+    0x02a9b796, 0xb7f72ecf, 0x693d827d, 0x099beb0f, 0xd3e14d72, 0x935d6836, 0x489c7c2e, 0x6e7183f3,
+    0x313262b5, 0xe1e69ca5, 0x86ea0437, 0xdbf6e042, 0x9ad77add, 0x49266988, 0x018e29fa, 0x5bc8dbd7,
+    0xb9ee9878, 0xd4830f41, 0xb116da28, 0x10156bd8, 0xad863f10, 0x17a7855d, 0xfb781be9, 0x58a2f5d2,
+    0xee943797, 0x72c3b38e, 0x14d3a146, 0x50b60068, 0x33d90ff5, 0xd314c3b1, 0xdd8689da, 0x3e3292f1,
+    0xabd74be4, 0xd2002611, 0x768d0511, 0x031d24fe, 0x39a311c5, 0x3f962549, 0xc3f01850, 0x7c717332,
+    0x63cd0ce8, 0x3338d70a, 0xf8d39db8, 0x2764960d, 0x32dd4e5c, 0x0702b4b3, 0xd7fa6c0f, 0x891b99f3,
+    0xcc79f5cf, 0x5c4bbc95, 0xc878c885, 0x9e9c8f78, 0xd70b4423, 0xa764b90d, 0x32be5c83, 0x4cd83ba3,
+    0x8c0b0371, 0x3073e1b8, 0xb53d13a3, 0xe871910a, 0xef79a715, 0x9ffff558, 0xde772818, 0x63ca6311,
+    0x82adde73, 0x75672989, 0xb71136d0, 0x2acb521f, 0x53e88193, 0x1a5abb68, 0xc66a4511, 0x758cab01,
+    0xdbbe652a, 0x3a0e52ed, 0xa5f2c218, 0x21066442, 0xb8d4c357, 0x3fcb723d, 0x8d095c7b, 0x97245980,
+    0x8bcbb2f2, 0xf8dd89ff, 0x0841b4a6, 0x51f60b38, 0xaddabe76, 0x3ee5fe87, 0x4ed1925c, 0x5142d4ae,
+    0xc432910b, 0x37cc37ca, 0x9ea5576c, 0x2e721807, 0x66c3557c, 0xfaa6f5e1, 0x00c97b96, 0xd6dc7deb,
+    0x60c9e8a5, 0x712dd2a6, 0xb4ac7794, 0x91015a82, 0x65987c41, 0x0d4533b2, 0xacab5c9c, 0x931d7ef3,
+    0x22d93f15, 0xabec434e, 0x1ba0a259, 0x902eb2a6, 0x323ca7b1, 0xcab00f9d, 0xf0d6a9ed, 0x2d44cf86,
+    0x170f0405, 0xe104ee51, 0xb119c9c0, 0xc6ffc04f, 0xf9a8407e, 0xa0dc51b5, 0xf2b09817, 0xd2552f77,
+    0xbc1e5ffe, 0x63fd0c84, 0xc702156c, 0xbce70d71, 0x5c3e944f, 0x4dca7d8c, 0x78a83501, 0x4396aee0,
+    0x81a22fa2, 0x91da7af4, 0x6c840f88, 0x617d00ef, 0x839a1f60, 0x2dd343f1, 0xf706460c, 0xc15f179c,
+    0x21478fe4, 0x89d5b84b, 0xdd4ecbce, 0x654ea0d4, 0xc7675747, 0x5b5da551, 0x2ff4911e, 0x7b8745f3,
+    0x5eb214c2, 0x149f99a6, 0xaf0737a6, 0x74276342, 0x6c743896, 0x59b12b48, 0x019713ca, 0x6a5baf2f,
+    0xbb5af72f, 0xd09dd5f0, 0x39558dc5, 0xe2de4293, 0x3b34d57a, 0x7c2de02f, 0xce499eec, 0x2f1fc322,
+    0xbcad933f, 0x036cdeab, 0xea23e6dd, 0xde2fdf5b, 0x751d77ec, 0x768db567, 0x1b4e2817, 0xb18230b2,
+    0xe7c5b87c, 0x4d3172d4, 0xc147ee72, 0x5f14a425, 0xbac4d15f, 0x32429dc2, 0xedc0d4cf, 0xf64df7d3,
+    0x00000000,
+    0x66cb62ae, 0xfa6d7eda, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000011417981541647679048466287755595961091061972992 */
+  { 0x00000000,
+    0x65cb06e5, 0x8630538d, 0xc6227f40, 0x78ce8411, 0x108dfa98, 0x6c64f560, 0xe60bec4e, 0xa25bc358,
+    0xda27b6fb, 0x72a265b5, 0x8b7f47a3, 0x8a25feee, 0x9561727c, 0x6721bf54, 0xfb29b440, 0xd192ba09,
+    0x62ea9b8b, 0xfb29a175, 0x29536d3c, 0x7df1cbe7, 0x3620fec6, 0x016ef747, 0x97b9da26, 0x6b06649e,
+    0x6366bf68, 0x355196ec, 0xcfb70adf, 0x1c36e6ad, 0x15d72783, 0x644fdbad, 0x6ad5a66d, 0x1e59b2d8,
+    0x0a853173, 0x51d50c64, 0x8d7eb663, 0x679cc708, 0x23af1f21, 0x2003c723, 0x3d444244, 0x538b8b86,
+    0x59df53a1, 0xe08f10be, 0xda0a54a7, 0x1d013934, 0x6f1447ac, 0x5ba2c111, 0x4febed2f, 0x82d3c4e4,
+    0xec7c5eb0, 0xdb2449ca, 0x7df36e96, 0x7a496845, 0xf8912585, 0xc3c47e77, 0xa753f6b4, 0x92b7aed6,
+    0x82d7d10d, 0x7656196c, 0x9e5d2418, 0xfd61124b, 0x390ea69b, 0x9b4012db, 0xe532e09c, 0x810e8c58,
+    0x2b17da3d, 0x07e34722, 0xc3a6b5a6, 0x632d1954, 0xd76fea61, 0xde8c4a62, 0x6beb8b55, 0xf8c249a8,
+    0x645366a0, 0x2ca66ded, 0x59fd22ea, 0x000f9f32, 0x70ae527a, 0x19c97b5e, 0xe128d5e8, 0x80cc9701,
+    0xa8b3a62c, 0x041d02e5, 0xf72f32cf, 0x9d9643eb, 0xe1747b6b, 0xc8e56d55, 0xf27e7a02, 0x3fe66c8e,
+    0x46256431, 0x7a54a1d9, 0xef15fa7e, 0xca635795, 0xff2d6402, 0xde2f60ff, 0xcec262d0, 0xe37d2e75,
+    0x4eec2a8f, 0xbd4c9704, 0xfabcd45c, 0xe770bc7f, 0x048b2851, 0x6d2b3e80, 0x56c8f9c7, 0x7a07cfe4,
+    0x9f5b7252, 0x5c2e5a1f, 0xae09adcd, 0x2b6bb8ca, 0x5b19f2db, 0x15fe81a5, 0x838b2d21, 0xfd40a349,
+    0x2eb2e213, 0x33679386, 0x08e92cfe, 0x5d6a21e1, 0xf3e7352b, 0x438bd1b5, 0x65dc60e2, 0x9bba129d,
+    0x39c25ebb, 0x18c5acf6, 0xb6072036, 0xe39f9990, 0xba5568a6, 0xbea6b50c, 0xa5bb81ef, 0x8f48f375,
+    0xfba12158, 0xf146ab0e, 0xa4b51097, 0x313b6d22, 0x68179228, 0xf195a09e, 0xbf200632, 0x91bd84e4,
+    0x2ff36c58, 0xd1377b71, 0x87b5b9cc, 0x2e15fa6a, 0xca4249b8, 0xd131cd96, 0x3c4c62ab, 0x11e2702b,
+    0x775b7753, 0xbc8b9ca5, 0x8c0110fb, 0x3b34ad3e, 0xb934bf8f, 0xee17cc09, 0xfbf19df5, 0xe5957002,
+    0x4d3a13ae, 0x295bb6b6, 0xcd7f53b1, 0x8de7f60a, 0x259c3a3c, 0x7ae27f53, 0xc954bad6, 0xe89ee4e5,
+    0x760f2c74, 0xf506605c, 0x81e08f5e, 0x6eeb93ad, 0xbbf75705, 0x5ff0850a, 0x1103ce84, 0x111d9324,
+    0xf07aec22, 0x7872d07c, 0xcfb11a82, 0xa81dcae2, 0xed211b95, 0x6c1ce108, 0x3b58e344, 0x12dcf1c1,
+    0x29487c1a, 0x236c8333, 0x90d2e363, 0x51f18c27, 0xb17e2f76, 0xdd4e1437, 0x8c2aefba, 0xe2d4eb04,
+    0xf3ba2a63, 0xea2b1ce4, 0xe8db5dcc, 0x8081b793, 0x66b74303, 0x034ab284, 0x4e8ebd40, 0x9aa46695,
+    0xde6c8541, 0x82027ead, 0xf592e9da, 0x6965184e, 0xccff4654, 0x0b4b7779, 0x5e92fb40, 0x150f5ca2,
+    0x56ba33f6, 0x5318ecee, 0x9a258f93, 0xf7679c3a, 0xffd15da9, 0x5411f4dd, 0x395d6a36, 0xb6f90f16,
+    0x63d21796, 0x0ab4fcfa, 0x12083e0a, 0xeb4dad97, 0xc910ee76, 0x15b885b9, 0x453afb7c, 0x167e51cc,
+    0x42759b9a, 0xfaa066d9, 0xe08f3dc1, 0x37fc7f88, 0xca13c98e, 0x403c9600, 0xf504b876, 0xcdde0c0b,
+    0xcaf4ec16, 0x260f4236, 0xd486597a, 0x8899076e, 0x5a0fa9ee, 0xe70145b8, 0xdd1d4a4a, 0x0043c350,
+    0x464275c6, 0xfe57ab48, 0x3b546ecf, 0x4f8ef751, 0xd50565b5, 0xb26d77c6, 0xd54e6aa1, 0x31aa8b33,
+    0xac4c52f9, 0x30e848fa, 0xe55a7904, 0x44600e91, 0xd0a92995, 0x8dc0927f, 0xfae2faea, 0x96c608d4,
+    0x4a0240d8, 0x45aa3c7f, 0xd4472932, 0x39902eb9, 0x3ccbfcaf, 0x6aabeec8, 0x9bf05cb0, 0x688cbc87,
+    0x6758acef, 0xcbf0dde6, 0x799155e5, 0xd75a7def, 0x23ae100b, 0x0c8cf5bb, 0x49767e41, 0x374aa60a,
+    0xf1d41d4e, 0x017d1221, 0x5533dc07, 0x1a27fee8, 0xe0b046e1, 0xb3539ac2, 0x717a34c2, 0xf3a02a02,
+    0x113650fa, 0x18ddf8aa, 0xbe5b787e, 0xaa8a15cb, 0x6e95a873, 0x49d35683, 0x1173097f, 0xd00b7829,
+    0xca105218, 0x3e7213c7, 0x16ea564d, 0x591447fa, 0x4d551862, 0x8c900870, 0xa07082a2, 0xe8d8ab7f,
+    0x064a6cc6, 0x3f68f142, 0x2dc0f214, 0x2e8ea170, 0x91128770, 0xbc6b9ec9, 0x5379510b, 0x173b3211,
+    0xd7031e70, 0x5828b1c8, 0x23bbaf9a, 0x6bcf750e, 0xb0a9ddce, 0x13f3b2ca, 0xe16a6819, 0x9bace69a,
+    0xd043de5c, 0x6cd07d03, 0x2c8a35f7, 0x2a2e3640, 0x55af347d, 0x3aab4e6d, 0xf781e56f, 0x3a7dd314,
+    0x5e84a42d, 0x8e35d33c, 0x7b0f56da, 0x59f9b855, 0x53732bdf, 0xfc23efb7, 0x1ad0e4e3, 0x3666b2bb,
+    0x35e88763, 0xadd09985, 0xa80db779, 0x40d3da03, 0xc3ee50c6, 0x002aafaa, 0xf99a6dac, 0xd15515b7,
+    0x44f44ccc, 0xe3b35618, 0x9e904bfd, 0x6f6ee705, 0xcfc9866d, 0x434f156e, 0x58f179bd, 0x15e23ca4,
+    0x64a36166, 0xaecdc5f7, 0x2a24cb25, 0xf2465ddb, 0xf2117e86, 0x41b3ee1b, 0xc8b578d6, 0x9a910c68,
+    0x70ce296c, 0x1bab75e1, 0x8635dd6d, 0x4f7305b2, 0xbd35502f, 0x418e39fb, 0xfeb15a16, 0xda3ad2fa,
+    0xa488e625, 0xe86334cd, 0x708969e2, 0x5e2f41cc, 0xc39b8dd4, 0xf583a2b6, 0x7407e0d7, 0x3358dc83,
+    0xe643c663, 0x2b3dcd03, 0x81f6aee2, 0x937bdeec, 0xd6612a6a, 0xaf0e6387, 0x871e573e, 0x5aaaaaa0,
+    0xb7b3cee3, 0x8fa09f2b, 0x302c8139, 0x8011878c, 0x1afd0909, 0x68673992, 0xa3cdc290, 0x61a17341,
+    0xb8ed5b70, 0xa8d8a379, 0xb223c8f4, 0xbf170595, 0x0c572ba3, 0xd6a57605, 0x11c3b674, 0xe1dd1401,
+    0xcacde8fc, 0x7d21a282, 0x4aa379ca, 0x5cdcbd39, 0x29a91449, 0x6cdb298e, 0xf6575d6e, 0x8deb4579,
+    0xd460e04a, 0x6c5f5f85, 0x51a3c102, 0x60121cf6, 0x2ddfac7c, 0xd72b79cf, 0x3468033b, 0x204006c3,
+    0xed620245, 0x85d43488, 0xc4afb642, 0x3b288323, 0x95a09d3c, 0x6161d89f, 0xdd395d39, 0xa33dd4b9,
+    0xf6910782, 0x347ab5d4, 0x2ed1b975, 0xe9ed2f2c, 0x90b27cbb, 0x7058b441, 0xc228f14f, 0x49ceaa3b,
+    0x0c20a18d, 0x4e83c404, 0x7d202e74, 0xf9d5ff10, 0xe8fd157b, 0x9d5af552, 0xdccd49f2, 0xe2bb8f9f,
+    0x9b3f49bc, 0xe7b8da6e, 0x38e534f3, 0xc60457ea, 0x2cbad78e, 0xbccb59ba, 0xefffcedc, 0x32502a47,
+    0x73f52d6d, 0x2282d9df, 0x2cbdd7e5, 0xfda199eb, 0x067994d7, 0x2411d044, 0xad1af4e1, 0x9377510f,
+    0x4f4b3ee3, 0xf92c055a, 0x8b8aa6ba, 0x20eba51c, 0x4617f877, 0x036289f0, 0x93aa4a9b, 0xb19ea073,
+    0xa0c6cfe2, 0x411eb25f, 0x6e38b0f6, 0x308ba24a, 0xe0858a60, 0x4fefe16c, 0xaa761650, 0x6b6b396e,
+    0x8604d85a, 0xd8d6ff6a, 0xc30e8650, 0xa6a8dbdf, 0x07f665dc, 0x92198d76, 0x822f4c9d, 0x3f48f2e0,
+    0xef9f78ba, 0x3a9105d4, 0xe365a9e5, 0x255d59d6, 0xfda56b3e, 0x24715004, 0xb856d315, 0x6a3975bc,
+    0x18e7ce64, 0xb8e2627b, 0x44336802, 0x603ac165, 0x61ce4ff3, 0x90f3a380, 0x4aa22278, 0xee0ed2ba,
+    0xc2462101, 0x25da3b9f, 0xea8cfdf9, 0x9e33453f, 0x578f0f15, 0x95d6b931, 0x283c11f2, 0xf4644e61,
+    0x8914ce21, 0x9b8e2cfe, 0x2a4ec6fb, 0x4a5ec13b, 0xf0cfc24f, 0xd4f2e33e, 0x66fa1fff, 0x488e6711,
+    0xee95b882, 0xffc37ec7, 0x5a59dfa2, 0x3a007d51, 0xb2fba01f, 0x48ef6ff7, 0xacde5719, 0xfc88b0be,
+    0x61b4e699, 0xf51f56ee, 0x396162c1, 0x6a0e575b, 0xa32f47a2, 0xa48f83b2, 0xad808189, 0x0a24b32d,
+    0x1d4dc608, 0x79962fe4, 0x7d3b768e, 0x26fc966e, 0xbe2b787a, 0x94113e6c, 0xe28f620f, 0xfcc85139,
+    0x0ba73425, 0xc04ce5d3, 0x6c5485b9, 0x16a335be, 0xf545d7fa, 0x8df0553d, 0x99374d5a, 0xd71860d0,
+    0xf0eb968a, 0x120643c4, 0x5e851d6b, 0x4750355f, 0x95c50f9d, 0x955756c9, 0x0eacff03, 0xf82197b1,
+    0xc78608e0, 0xc5ab51e0, 0x4f474a0d, 0x68ac6af4, 0x645dd23a, 0x0cd6eabb, 0x27676404, 0x887f3911,
+    0xaa8032b9, 0x20a5b51e, 0x07dcc873, 0x630861f2, 0x1df41c36, 0xa170ddcd, 0xa1ed693f, 0x0042733e,
+    0xaed80d37, 0x3a7b6985, 0xc912298b, 0x92f5db72, 0x08d6c791, 0xdeab504f, 0x6f698646, 0x49f97676,
+    0xdce79c87, 0x87173384, 0xd09a3211, 0xb1dbe690, 0xcfc02884, 0x40415b6d, 0x43b0ca2a, 0xf80d0471,
+    0x50515489, 0xd50cf858, 0xa0314179, 0xf53851b4, 0xc358e5cc, 0xaf0d6746, 0xae426a0a, 0x2bd328f2,
+    0x4a104365, 0xe89277e9, 0x663ffeeb, 0x16232d03, 0x37696e7b, 0x2eabe760, 0xc24df312, 0x93938ddd,
+    0x6185e6a6, 0x69326b70, 0xb5136486, 0xce2b9290, 0xe7a6d404, 0x5998bfb8, 0xa0865bbc, 0x167411d2,
+    0xed3b4fa0, 0x937e45d1, 0xa1c54f65, 0x1b7510e6, 0xf06831b5, 0xd41146de, 0xaf6fe508, 0xdaa752f9,
+    0xc936c1df, 0x98cfdd0a, 0x06997c1f, 0x94916094, 0x2388e514, 0xd8db6350, 0x1a3c05ab, 0x7b2c0e56,
+    0x35df4fe4, 0x7470092f, 0x762ea931, 0xa2446dad, 0x6a5a971f, 0x95376d9d, 0x5ef56229, 0x8e528b15,
+    0x31fad25e, 0xc3cb1b73, 0x7e80a03e, 0xcc2139e6, 0x7639886b, 0x615cde80, 0xc19719e7, 0x5e93c3eb,
+    0x5ffb16ef, 0xa95e9d95, 0x6cc4d5be, 0x14da8c51, 0xff4d8737, 0x16e319e8, 0xddbd569f, 0x55541cba,
+    0xe2af782f, 0xcc371b58, 0xa4e8ff70, 0x113c3fa5, 0x6dd52199, 0x7614cf8c, 0xfb141b78, 0xb64d7237,
+    0xbdaa71a9, 0x7cc404e3, 0x70712c19, 0xf61902aa, 0x6354d57e, 0xab816333, 0x70eeee43, 0x58054e24,
+    0x08045670, 0xb4664902, 0x3bb01250, 0x5471cb76, 0xb259834d, 0xe5c3b00d, 0xcad433fd, 0xad6905ca,
+    0xcd0ac851, 0x99adfd26, 0x70b4509f, 0xfd242058, 0x8988b78e, 0x508bfbed, 0x7ff39a73, 0x16646ff8,
+    0x3d02e6e8, 0xc23b495b, 0x28c75a85, 0x32eb5b30, 0xd9f5b9d4, 0xb91dcd3f, 0xed04abfa, 0x6ba0dac6,
+    0x20de8b4c, 0x3c1a014b, 0x09e6af7b, 0xa1a80a41, 0x0178fbe6, 0x49b99d0e, 0x86ed910f, 0xda08f535,
+    0x5981a9a9, 0x5de6c6b1, 0xb7661516, 0x736b919e, 0x131910db, 0xb6c578e4, 0x8e6fcb74, 0x363459ac,
+    0x97a362fd, 0x3f03d152, 0xc8cdd063, 0x0cf990b8, 0x72fd063e, 0x5d2ad40f, 0xe01b42cf, 0x6d270a2b,
+    0xbbc63f3a, 0x59f5d7b7, 0xba5862fb, 0xd96bb9cc, 0xb08b4750, 0x36d8bee9, 0x7289a803, 0x804ccf60,
+    0x8e064a07, 0x56fb83d2, 0x810b84f9, 0x27b91e71, 0xa0f3c106, 0xd509a99c, 0x4dd456ef, 0xa9ea5d16,
+    0xf3e41ac7, 0xe143f44a, 0x0c0150d6, 0x54f90568, 0xefe54f3e, 0xf01468b0, 0xa3c9faab, 0xaf512f44,
+    0x36623f05, 0x15c5850f, 0x01078f96, 0xafe79e67, 0x3eae660e, 0x9aa1e165, 0x7bcadb73, 0x96c1344f,
+    0x85a66205, 0x1aba7a35, 0xad6e1eab, 0xb63889ae, 0xf8889698, 0x798dc8e8, 0x57bf0a5c, 0xc1070657,
+    0xc71bcdec, 0x29de8c22, 0x263a3c67, 0xb2de038c, 0xf8a2e1de, 0x07647561, 0x78782930, 0xe2ce9ec3,
+    0x5553f748, 0x2927d468, 0xa6cf8db3, 0xd560ea97, 0x5171a1a7, 0xd1bb8774, 0x0f38f1f0, 0xffd1d5f6,
+    0x938dc3df, 0xe3110c9b, 0x43635eb3, 0x6e5a7199, 0xbab8c090, 0xb91a0505, 0x3862152a, 0x0a6e460d,
+    0x0e7be7f5, 0xfedeba28, 0x2c1dece0, 0x925a552b, 0x072de7ea, 0x9438b1f3, 0xf51c6081, 0x34f57e34,
+    0x7f32a0ac, 0x5bf1ab6d, 0xd626087e, 0x9d89fbf2, 0x8cb9d802, 0xda11c460, 0xc228c5e1, 0x92e90ee4,
+    0x3dbada92, 0x81efed8a, 0xad1f2fc9, 0xeec03c40, 0x9041abe7, 0xe0008398, 0x362e81f1, 0x1221fa65,
+    0xefe5036b, 0x36fca284, 0x684b3a19, 0x4cbdd69a, 0x8f865199, 0x22fb9be0, 0x39782195, 0xf1c95bd0,
+    0xd0e9cf45, 0xa52c847b, 0x198142be, 0xce196e63, 0x28d315df, 0x95fbd34d, 0xeb3ab479, 0xb295316d,
+    0xb1f4abe1, 0x946ccb42, 0xb3007a77, 0xfac2b47d, 0xa293a0ea, 0x82089ff6, 0x4d90141f, 0xb9810db2,
+    0x9a0af0f4, 0x055a8f80, 0xae08c7bb, 0x405ffa24, 0xf32f1fe2, 0x73707881, 0xcdd64c02, 0x666da9af,
+    0x079c238c, 0x3e71675b, 0xa2973648, 0xea174a4d, 0x9298a379, 0x94711e1c, 0x157c8cba, 0x4295c965,
+    0x4a844e2d, 0x0de61731, 0x27eaacf6, 0xa7d0462b, 0xba218504, 0xc9fb2aba, 0x5aa8c485, 0x8a9250c4,
+    0xfd476a9c, 0xffe6f626, 0x309e8474, 0xb9410bd0, 0x2f869086, 0xe11027c4, 0x58326197, 0x0deaeed7,
+    0x37be5e2e, 0x03da31ee, 0x0781b1da, 0x9ea7cc93, 0xc567c14d, 0xe5c112c7, 0xe630b5cc, 0xba4d5ce8,
+    0xaee2005b, 0x7ec37808, 0xf1ca771e, 0x57a7ee91, 0xae49d950, 0x7e97ffbe, 0x48ad8a5f, 0x88012fce,
+    0x9d7bfe11, 0xac13302d, 0x9cc0f51d, 0x39440c26, 0x185841fc, 0x42407476, 0x512db5dc, 0xa70ac996,
+    0x88d6c099, 0xb82c220e, 0xe8f38ff9, 0xc0bfe54b, 0x83fb4e7e, 0xb51b27e8, 0x250f5f11, 0xabba37f5,
+    0x92e9a31e, 0xc9088655, 0x67bdb82d, 0x84d87b63, 0x251356f5, 0x93b2b1b4, 0xece9a4aa, 0x7c0fa157,
+    0xc235dcd6, 0x82a57285, 0xa5a7d6f0, 0x67fbfb21, 0x04650a0f, 0x1588b10e, 0x9aa65e40, 0x3a1d7b3c,
+    0x899b2a18, 0xe6c2b576, 0x718b17a8, 0xe861ae5e, 0xc5e59d74, 0x679cc705, 0x66c5a0f7, 0xf1099ecd,
+    0x6b8377be, 0x2fe00498, 0xc34240cc, 0x8fbbb755, 0x8283815d, 0x8c67fa9a, 0xed10c4cd, 0x5f873249,
+    0x8c05013f, 0xca8308b0, 0xb3183362, 0x06e5ce29, 0x8cbcd0d4, 0xd13f4a57, 0xef1f792f, 0x47a7677d,
+    0x28285b64, 0xcb7c7c71, 0xb52dc821, 0x9a116797, 0xaa7ad690, 0xe10655ad, 0x44132e74, 0xc570a2bf,
+    0x6782fe61, 0x1b3d893e, 0x54dfbf66, 0x1d9a016a, 0x0bec5624, 0x15c74fff, 0xce41a6cf, 0xbf189bba,
+    0xb8aa12bd, 0x222d1942, 0x1ea835c4, 0x592c418a, 0x817267c3, 0xa2dedba3, 0xaa632c7e, 0x52ee3aa7,
+    0x16cf7dfb, 0xa30e6635, 0xe3254351, 0x93d3469f, 0x014e4f3b, 0x8d41228d, 0x3bd5bbb2, 0x3984c816,
+    0x10d6d90f, 0xdeeeef79, 0x09ca4e86, 0xa461f41b, 0xc88102f4, 0x5cbbe0a1, 0xa66095d9, 0x9580b276,
+    0x6148f89c, 0x417404bb, 0x52d52c7d, 0x817ea5e8, 0x690af595, 0xa49b1a03, 0xf8297f21, 0xbd099893,
+    0x76144c3b, 0x04c04b00, 0x187fee3b, 0x120cc922, 0x6559d209, 0xc2360d43, 0x927c4b9e, 0x43f4ee60,
+    0x20d1c712, 0xe6de1ecb, 0x3bfd0c50, 0x76b539f7, 0xe86488b3, 0xee0cfe02, 0x62065fca, 0x99e31b5d,
+    0x93d2b2ec, 0x79c99e87, 0x9314937c, 0xbabf7d69, 0xa871b29c, 0x918fe24a, 0x64a29782, 0xa52f8a14,
+    0x1420925a, 0xaf5cd542, 0xc7919644, 0x4e3d3dfd, 0xaf334303, 0x315c8e13, 0xfdc03119, 0x12d60a17,
+    0x6c44a284, 0xe05b4162, 0xb899c6b4, 0x224e7125, 0x78f7781c, 0x610693d0, 0xb50aa9af, 0xce0f8c03,
+    0xca082b81, 0xb65adc3c, 0x26b2504b, 0x52beea64, 0xe94726f7, 0xc64688eb, 0xe65abd21, 0xfb1b0184,
+    0x00000000,
+    0x3365b156, 0xfd36bf6d, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000005708990770823839524233143877797980545530986496 */
+  { 0x00000000,
+    0xc9441fe0, 0xa69fe60c, 0x499be15e, 0x73a3c292, 0xd5780c5b, 0x281a8c05, 0x53e5688d, 0x7500cd58,
+    0xebba2bfa, 0x786788fc, 0x653deb87, 0xb6c6973c, 0x4d40fac2, 0x354fb182, 0x4e63852a, 0x1a584188,
+    0xb5f3cd45, 0x99746e94, 0x1ef40333, 0x270ade25, 0xf465cae1, 0xd0e18cd2, 0xb5e7230d, 0x9b4a6fdf,
+    0xe0b08fdb, 0x5c81805e, 0x7b3eb2d5, 0xd3dafa32, 0xe44e28a7, 0xa9e1614a, 0x4355980b, 0x4f051607,
+    0x10826830, 0x4a0ce1db, 0x7eae0a2c, 0xb8952ffd, 0x89f1924a, 0x3af84f49, 0xdbd9baf3, 0xa62b3620,
+    0xf0259e70, 0x03e49a09, 0x8ad0808b, 0x1f7d2b0c, 0xab595931, 0xf325b51f, 0x01d460a8, 0x583a4e94,
+    0xcab9aee7, 0xd8817e7b, 0x6e11c1eb, 0x5efb9cd4, 0x6eb1b43b, 0xc4267bee, 0x7c61136f, 0xa70f30a7,
+    0xa3321ab1, 0x8d3e5ee9, 0x9adf7026, 0x5f599b9a, 0xbd477736, 0x8ada0351, 0x05aaff1e, 0xbe94cdd7,
+    0xa4f6b849, 0x84e167db, 0xa8005959, 0x9d0ad46b, 0x87293b76, 0x12912c21, 0x4119f07d, 0x4c0a3b0e,
+    0xccc70d87, 0x74288445, 0xcc9f5d1e, 0xd7f70a03, 0xa3ac1f78, 0xc6c43f62, 0xb8a2f4dc, 0xe6b6ffac,
+    0xfb38e1e8, 0x9d562773, 0x7b146feb, 0x6648c8d7, 0xfa6462a4, 0xa60f58ca, 0xbc9ff1c3, 0xc58eb890,
+    0x1dfed2df, 0xa19886a0, 0xb0406642, 0x8ce65deb, 0xd392c9f8, 0x7cf1b155, 0x427adbc0, 0xd8abf73b,
+    0x9ae05a00, 0xde168ad7, 0xbeb18caf, 0x84356794, 0x0d6bad06, 0x1498e98d, 0xe747afe4, 0x7daa9265,
+    0x86da1770, 0x2a7354c6, 0x88972e66, 0xb9e17e5b, 0x01b3ff35, 0x2fab1191, 0xfb2522f8, 0xf1a0f7df,
+    0x965c3e0e, 0x025b642b, 0x5a519674, 0x7dd07af4, 0xeb3884ff, 0xe6973005, 0x09a1b683, 0x24f81ef0,
+    0x00dd3ad8, 0x1f969f6d, 0x7e0397c0, 0xfce5645a, 0x1b841a1d, 0x615d3bea, 0x9abe0f4b, 0xb5bf11fd,
+    0xa0b311d8, 0xeb508cb3, 0x03458159, 0xf5ee3833, 0xd9cd7a4d, 0x84642702, 0x8e8d0797, 0x97131c13,
+    0x81a298cd, 0x1ae6fd50, 0x81fb22c2, 0x6c571f55, 0xd87bac80, 0xb37d1851, 0xeb3fb24e, 0xe227320b,
+    0x56036edb, 0x098fef79, 0x8ae91128, 0x2807ddb8, 0x0861107f, 0x24cc450e, 0xfd145267, 0x7c8f5168,
+    0x09cfc06c, 0xe6ebbcc3, 0x7f5bac29, 0x239dd3a0, 0x65bfb105, 0x51c7db5f, 0x7c0acde4, 0xb86bec25,
+    0x6cc64244, 0x8edbbd99, 0xdcbdbdfa, 0x6066cdb2, 0x159cf23f, 0x3545f145, 0x06544e69, 0x9a97494f,
+    0xf7efd52c, 0xeb5f3724, 0x699c855e, 0xe98c6707, 0x5f616f2d, 0x3d5ac9a3, 0x25baeeb3, 0xaad8540c,
+    0x54dff7ec, 0xfd3e8efd, 0xd8683525, 0x9fbf67bc, 0x862a3927, 0xf1994d7b, 0xc40dc191, 0xb0902d7b,
+    0xce91b911, 0x0a86c5a2, 0x84483f3a, 0xcbf01f24, 0xac3cb7e7, 0xa9c138b7, 0x16f2236c, 0x2c343a1c,
+    0xbeb2bf8e, 0x4699ff63, 0x01d075d0, 0x74359f24, 0x5e926d1b, 0xd6f028f7, 0x11b44ac8, 0x6d10d94e,
+    0xf0f6c7cb, 0x0e30c4bc, 0xaffb2500, 0x33e6630a, 0xc0d5c5b5, 0xf126cb0d, 0x6103f0aa, 0x7efa5e3c,
+    0xcb34e006, 0x20f151f2, 0xfe6e2a53, 0xfd6401b3, 0xcec8b642, 0xd5c24bce, 0x79095ed7, 0x9ac50fa3,
+    0xdb8487af, 0x034eb5bb, 0xdc5250db, 0x85d518a2, 0xb0fbf81f, 0x207eff40, 0xd137db6e, 0xd903ce67,
+    0x4d93d1ab, 0x0a3e50de, 0x77da5884, 0x35e23d1a, 0xe395658a, 0x27529c72, 0xac23e082, 0x4757a1ac,
+    0x3a464bdd, 0x19fe4586, 0x3165e77a, 0x36120116, 0x87382faf, 0x6530b190, 0x3e2c3bb7, 0xc9da0a7d,
+    0x15cad618, 0x26bbc00b, 0xd30c04d1, 0x8436c985, 0x113d6b32, 0x1a069df7, 0xed547c46, 0xe8d79334,
+    0xa7f98fcc, 0xf34925aa, 0x8c2daffa, 0xdbe20a94, 0x6ec77dd2, 0x071a461f, 0xc2b99c79, 0x7fff6bad,
+    0xdbd6372f, 0x297dedf3, 0xe13768f4, 0x95430797, 0x2accfb8e, 0x00932db6, 0xd793ba3a, 0xe2ab9aaa,
+    0x456efd4b, 0xc89eeffa, 0x4a77111e, 0xde31048e, 0x9688b6d2, 0xcb730e45, 0x179d7b5d, 0x36599063,
+    0x6b762e46, 0xfceef610, 0xa142120e, 0xa35dd6be, 0x6697ce53, 0xf09dc023, 0xa14ad803, 0x0c469c2a,
+    0x5edb4ecf, 0x80f3cb46, 0x0292b5a2, 0x91940170, 0x856546c5, 0x3a0fc1cf, 0xfe8c9e72, 0xa64dcafc,
+    0xc5a107b2, 0xec029fc9, 0x7fcb063e, 0x3ae4a894, 0xbe8979e3, 0xda4967d4, 0x61d76e70, 0x9a58d688,
+    0x0020971c, 0x63c5d11e, 0x1eec0865, 0x1fad6499, 0x021c588c, 0x940ef60a, 0x6b1727c5, 0x62797bd0,
+    0x90599570, 0x5b8cbeea, 0x80e856aa, 0x2df6dbda, 0xd33ec9a0, 0x957b15d8, 0xfe8954ac, 0x464a3bd5,
+    0xd912e9e1, 0xa994f989, 0x93896585, 0xc523bd0f, 0xf142edb7, 0x9a69daf7, 0xc6c73fda, 0x32c5fc5b,
+    0x9ab9a8db, 0x59d8e139, 0xf164188e, 0xe4d74321, 0x22ab4bab, 0x448035c1, 0x89035a43, 0x486a58f3,
+    0x4084c275, 0x20ff7f3f, 0x3cc69137, 0xf393d045, 0xabb19f80, 0x9c39953a, 0x9979639c, 0x47ee4efc,
+    0x94635151, 0x1390326f, 0x0bded90f, 0x617dfd1c, 0x543e784b, 0x8d682cf2, 0xf2bd01e5, 0x2f6757c8,
+    0xcc95a1b2, 0xe7b44aac, 0x373f19b4, 0xde7437c5, 0x76349e43, 0xa4447bc0, 0x7b64790c, 0x0613967b,
+    0x9fdb529c, 0x4c418d93, 0x49ff2647, 0x2b2a9698, 0x8ae77ece, 0x8dc62752, 0xfbc2da3e, 0x0e8b4d30,
+    0xbbe1f26a, 0xc3c95db2, 0x79e99941, 0x6bb18cc7, 0xc7a2c9f6, 0x82eaaa97, 0x4317c564, 0xfa8f4885,
+    0xdae46d25, 0x44aee1df, 0xbeee0186, 0x93003a0d, 0xfbb0bebf, 0x7e64da79, 0x81f8af68, 0x2297d9af,
+    0xeb6608a2, 0xf5a5721b, 0xcc36620b, 0x4e1ac5d7, 0x85048fb4, 0x28d4482f, 0x068b1185, 0x62fca5c3,
+    0x77da82cb, 0x4a9f125f, 0x262219d9, 0x3303daf3, 0x98a8dcdb, 0x15f708d5, 0xbe12b8ff, 0x45852fb9,
+    0x0460e117, 0xcd180b98, 0x74ea61cd, 0xbf36ae89, 0x9348b9e6, 0x1e92e2bf, 0xa3aeecb1, 0xb46dfdc9,
+    0x0275c3e7, 0xcf251d3d, 0x2f9deb9f, 0x78a4f4aa, 0x825ecc14, 0x33005a9a, 0x4cb04dad, 0x57b586ec,
+    0xc00a8a13, 0xa7f82cdc, 0xc6c2177c, 0x710bab9d, 0x246ce137, 0x78853703, 0x1e80ab9a, 0x577197b9,
+    0xff6673f2, 0x05579a92, 0x36927bb7, 0x360efb73, 0x03d2aedb, 0x793213bd, 0x0c915603, 0x0688d0b6,
+    0x538b7f53, 0xe38d7df7, 0x95c9569c, 0xfd6644d6, 0x253ca0ff, 0xce4d5043, 0x61abded6, 0x8fb3dc88,
+    0x89a48351, 0xa7101564, 0xc7e8bd55, 0x869ad78b, 0x49887d49, 0x9a01e930, 0x848df8bb, 0xec31385e,
+    0x2d6d1943, 0x264022dd, 0x015d5749, 0x6a7541fc, 0xebfbae51, 0xeb752808, 0x1a30b194, 0x5b46c10b,
+    0x7269a678, 0x20da942d, 0x5320f8cd, 0xfe8a3f98, 0x371b907f, 0x15cb03ad, 0x08215cdb, 0x401194c7,
+    0xd4c157c4, 0x63b14969, 0xcd65a22e, 0x6334ab2a, 0x76b0df66, 0xd35296cb, 0xd69a08cd, 0x720a99e2,
+    0x1bb6e5ff, 0x1b550a60, 0xdef3dd00, 0x6156f9f9, 0xd68f36d2, 0x1b4e04ff, 0xfc90b5db, 0xbb041924,
+    0xb2877a4f, 0xb740c23f, 0xaeba7a05, 0x549a1b63, 0xc109e73d, 0x1bb3f58f, 0x2a0da3ba, 0x7ea4c331,
+    0xab3b74e6, 0xa3a967a3, 0xa11d8fa8, 0x249becba, 0x22df3f41, 0xe2b94786, 0xb95fe84f, 0x654228a2,
+    0x08d786c4, 0x8fccd2b8, 0xbd9433bd, 0x5b76b465, 0x884487b6, 0x6b396423, 0x47230215, 0x9234b74d,
+    0xbd78c65d, 0xd552830e, 0xee560791, 0x32d911d8, 0xb8d352ad, 0xff3ae7d9, 0x784aab60, 0xfed57654,
+    0x738a6b45, 0x9efd5c8f, 0x5dfc6528, 0x7b234313, 0x70fb6524, 0x3b89cb7a, 0x8e1d4b92, 0x434f2082,
+    0xac4f401c, 0x37070f42, 0x6a395267, 0xffaace74, 0xbd8bb5b2, 0x4d768828, 0xf205f501, 0x2b1a87ee,
+    0x9c3de7a6, 0x1f44b674, 0x28e5ea30, 0xad19722b, 0xb599d965, 0x9891601e, 0x4310bf96, 0x97d4425f,
+    0x3511585c, 0x540380ef, 0x5337663a, 0x7ae8554b, 0xc1a9a6e1, 0x44e85399, 0x72011e66, 0xbb1bda95,
+    0x330e5b61, 0x22475279, 0xe0c28e42, 0x51c15d64, 0xe9f9ba99, 0xe1aeec94, 0x424b6071, 0x57354e98,
+    0x84c50bfc, 0xcd3d4612, 0xeec16d85, 0x86425631, 0x073619ff, 0x08115bc4, 0x3a75d05a, 0x0bcf5df2,
+    0x28a3a2ba, 0x763f4f59, 0x73596fa5, 0x96b9dbd9, 0xd4c3e51f, 0xbc96dbed, 0x89b41dbc, 0x378ae641,
+    0xd2381170, 0xc46e4079, 0xff0c9563, 0x411bf33a, 0xef273afd, 0xbf8f3a6a, 0xcbc03ba7, 0x64da1777,
+    0x39c0d864, 0x1a31d0cf, 0xbd8febdd, 0x8739719f, 0xe16f619f, 0x90844f57, 0x2ade0758, 0x9518b9ed,
+    0x6237e4ae, 0xc4ee3bb9, 0x0abac27e, 0x01815ac3, 0x15e4b719, 0x7077a4ce, 0xbd06ca06, 0xc12310b7,
+    0x50cca570, 0xd8219e59, 0x0856eb7a, 0xc125e8e7, 0xbd5b9006, 0xb8c9418a, 0x91c4ecad, 0xd137049e,
+    0x0a4783b4, 0xe230a763, 0xce18a5c1, 0x32370fc2, 0xed010f9f, 0x2fe78cb5, 0xf7594628, 0x6f3177f7,
+    0x7dd2f2af, 0xc5f6f4c3, 0xcf527135, 0x8fbbf14e, 0xae7d6ada, 0xfa53b9ef, 0x5f7c5291, 0xe8be1647,
+    0x5931a515, 0xb0a047c0, 0x3309747a, 0x36d9667f, 0x799d3f01, 0xc2b5f46b, 0xd6e074fa, 0x6c87fa6d,
+    0xbbd6d7d7, 0x1e0e8420, 0x02995ada, 0x349e8410, 0xaecaa0cb, 0x31b77ef7, 0x2deb74d0, 0xe90c8853,
+    0xb506193d, 0x24f6c0e4, 0x4e736fb5, 0x288b213e, 0xaebca090, 0x9dcbf06b, 0x3a17bcec, 0xf9c81ad2,
+    0x7d75a0c3, 0x86c30e5f, 0x8e7f5b95, 0x8b6e0c4c, 0x1da26af4, 0xb14592cd, 0xde3b7359, 0xa25263eb,
+    0xb574a276, 0x361d6d98, 0xe002d8b4, 0x570aa73c, 0x7173da92, 0xa388be90, 0xace74671, 0x036f4a4c,
+    0x8d8f4318, 0x98912caa, 0x4fa69db5, 0x206ad842, 0x457ee239, 0x589337ee, 0x3b368d75, 0xe30cba2e,
+    0x2cbdd467, 0x9c938e3e, 0xe0c8430a, 0xf79230d7, 0xe9fd1b99, 0xe7cef993, 0x62d0e9b2, 0x0a4480de,
+    0x26193f18, 0xe4a0a5f0, 0xdd40319f, 0x1089c7fe, 0x89753494, 0xf9544c77, 0xd2e95083, 0xe43bbf54,
+    0xaead6e1b, 0x79f25bd1, 0x1c7c0a44, 0x23eedfd7, 0x92b71db3, 0x8e29b041, 0x973d70f6, 0x06294dc2,
+    0x968da595, 0x538ec9a8, 0xf9eae5cc, 0x0db5895f, 0x59f824b0, 0x08bac06b, 0x1443e5cb, 0x2f67218f,
+    0xc889d138, 0xd4f6377e, 0xc49988d3, 0x9eeef15e, 0x1a9ce937, 0x5ee55ca4, 0x0fc5316d, 0x70293fc9,
+    0xe44bf964, 0xbb50e65c, 0x162f1fdc, 0x33f94e8d, 0xf519d56e, 0x5ea3a931, 0xe8701dd0, 0x423dbfd3,
+    0x1e853ff8, 0x3dc43b36, 0xc84a3c74, 0xe1cce868, 0xdc629793, 0x9d4f0fb0, 0x1fe90749, 0x891ffacb,
+    0xf69f14cb, 0x72feeb44, 0x2da5d72c, 0x8a7950e6, 0x533c3af9, 0x2362d016, 0x9ab68bfb, 0xb1151c52,
+    0xa5e0db4c, 0xeec22a44, 0x4e584ba9, 0x90556370, 0x9e0e1630, 0x2faa9b13, 0x7f43997f, 0xe354e1f6,
+    0x7484b498, 0x850db574, 0x60f038e2, 0x7dcfa758, 0x1bcf4ade, 0xebaa277a, 0xa8a9bb82, 0xffec540b,
+    0x9e8752a0, 0x8d8f1358, 0x50061cef, 0xdaae499f, 0x4f6b90a8, 0x7b928fba, 0x98151f34, 0x2fcd8b14,
+    0xbb4dee5c, 0xada9a3a2, 0x0f0549ae, 0xe79d7415, 0x450d9c10, 0x6b023ea0, 0xd3ed5cb4, 0x0679c3e8,
+    0xf5e2d5af, 0x8a8cced8, 0x38edd261, 0x870822fc, 0x9fb20f0a, 0xe7dc024d, 0x2edb3262, 0x2ad7e107,
+    0x71dcc4ae, 0x18e6a15c, 0x3fc87d42, 0x79fa3846, 0x6c25361e, 0xf963c8f9, 0x0a838011, 0xc3904614,
+    0xc1b35113, 0x6aa60d6a, 0x3f7ab69f, 0x18fe7832, 0xa260168e, 0x9fe696fa, 0xf57d904e, 0xd6049639,
+    0x0f28688f, 0xc273e48f, 0x41c33dfe, 0xa4f0a016, 0x294dcc69, 0x27b4917d, 0xa3a7621b, 0x77a87c79,
+    0x5b268261, 0x28cf9c89, 0x5087ef64, 0x1dff78a8, 0x2b947971, 0x81e0584a, 0xca06f842, 0x6cdf2c46,
+    0x3d014770, 0x39404159, 0xf6fce2bc, 0x0aaca5f6, 0xab6560e2, 0x05beca0b, 0xeac9df6e, 0x340075ef,
+    0xca1dea97, 0x2cce76cd, 0xed37f339, 0x8f216044, 0x578134cc, 0xee93e0f8, 0xa8fe70df, 0xbf11b500,
+    0x21514d80, 0x15478851, 0x35956fbd, 0x98b76a7f, 0x054a0523, 0x32b7e3cf, 0xca0d6350, 0x5933417a,
+    0x21cf7653, 0x2218a654, 0xae3200c4, 0x53e11460, 0xd6d2ecf5, 0x8926290d, 0xc9959b72, 0x4577ab80,
+    0x371b1e5f, 0xc2196156, 0x1f7cc741, 0x1c65c3bd, 0x23d3b939, 0x67015c92, 0xd3c8da00, 0x35510649,
+    0x6ad89456, 0xc780c9b2, 0xca942e36, 0x5aad11c4, 0x98b57c7a, 0xe0ef86c6, 0xb252f83e, 0x332de80f,
+    0x91e6770e, 0x91e31c07, 0x0cfd0d0b, 0x405dc6aa, 0x81a62d86, 0x39da7227, 0xbca111b0, 0xa71d3dcc,
+    0x42d6d3a9, 0x50c79956, 0xa7253dd7, 0xc8e00665, 0x2ee09514, 0xdf17ee30, 0x7e2c37ab, 0x1a201ed9,
+    0x385a7ffe, 0x1a2d569d, 0xb431ae1c, 0xaa386a6f, 0xb9f04fe9, 0xda6012df, 0xe2fd1c8a, 0x0b82d9ca,
+    0x2f5290af, 0xb606b09a, 0xac03c72c, 0x0fbf8542, 0xf7ad5afb, 0x3157e0c3, 0xa8c787a3, 0xa64490d4,
+    0x8f0493d5, 0x8f833c4b, 0x9b2bcd2f, 0x61c18462, 0x941f6885, 0x4df920f8, 0xed7a1cbd, 0xbccf24dc,
+    0xfdf134bc, 0x9a961f51, 0x38d87e95, 0x74133054, 0xf864882d, 0xf3828326, 0xdebeec83, 0x19c1ccb9,
+    0x71100f0e, 0x21829d24, 0x50b6011f, 0xf74caa54, 0x90ca1a1a, 0xfffc1902, 0x15d24ca0, 0xf266981e,
+    0xb28392bf, 0xda98ca2a, 0x0e1fd8a7, 0xb0b4eef4, 0xd2ef4419, 0x284f1f5e, 0x032c3ad2, 0x7abb25fd,
+    0xeac89399, 0x65072d14, 0xad947748, 0x9f888cf4, 0x8d89598c, 0xb90ae4c0, 0xeab8435b, 0x78305462,
+    0x60f618fa, 0x7a646651, 0x35a9c009, 0x4e098e13, 0xfb0da182, 0x7efbd2aa, 0x925d28c8, 0xac93b061,
+    0x481d5e92, 0x60fc7bd5, 0xa73e3ddf, 0x9d3cba37, 0xd2be310c, 0xce0302c4, 0xede033ec, 0xb44ac465,
+    0x87d66662, 0xff650a5f, 0x3e7da896, 0xcdf907ee, 0xc3a8fec4, 0x6774e0e0, 0x95804047, 0x0b04b1d9,
+    0x218ac37f, 0x1d6f808c, 0x2c03a51f, 0x677bbbd6, 0xdebba66c, 0x35e8f612, 0x9dfff314, 0x5140ebb1,
+    0x4f91ae01, 0x5abb2b4c, 0x45400cc7, 0x7f538494, 0xb341238b, 0x72afd2fd, 0xca0ec440, 0x1e3f8d87,
+    0x97592621, 0xfe3ca6c1, 0x32f422e3, 0xb5e5a10f, 0xd4039be8, 0x21306c2b, 0xe839dbd9, 0x4a8d8fbe,
+    0xf80f53be, 0xe4fd0a38, 0xbae6c6b9, 0xcb7bfbeb, 0xa72ab00c, 0x0802ca32, 0x9097f5ef, 0x00d20cad,
+    0xa8141270, 0x2073411d, 0x9ba580bd, 0xb0eda4d6, 0x5cf17f91, 0xc0fb26cc, 0x9ebc443e, 0xa9baca2d,
+    0x85aa1751, 0x0e6ecdb7, 0x12d10194, 0xdb9a973b, 0x2ea752fa, 0x52991950, 0x09fbbd4d, 0xe7712118,
+    0x35b97d9b, 0x186748f7, 0xfd6a79bd, 0xf552b3c1, 0x732e964a, 0x3cb19db9, 0x55c5933b, 0x058633fc,
+    0xd6529e2d, 0xf0020dcf, 0xb38eefe6, 0x7507ca83, 0x7f1ce5f2, 0x859854be, 0x1f78d82a, 0x01b55fbc,
+    0x9752af3c, 0x9365f96b, 0xa2c06a83, 0x4880784c, 0xf24a30cf, 0xd44334cb, 0x66502439, 0xfd8a7abe,
+    0x00000000,
+    0x99b2d8aa, 0xfe9b5fb6, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000002854495385411919762116571938898990272765493248 */
+  { 0x00000000,
+    0x900f2a46, 0x42ca28df, 0x43846879, 0xc5cae522, 0xf06ade76, 0xfa00dea0, 0xa19d99b0, 0x5fa566e1,
+    0x4f52bc36, 0x7619fa0f, 0xd537619f, 0xe8083907, 0x29bc63e1, 0xfcb5cbfd, 0x6e9ef939, 0x5ec6bd32,
+    0x14d1107f, 0xf495beb2, 0x3f5bc012, 0xccaa4a3b, 0xb7ec0af4, 0x429a7afd, 0x4ef177c8, 0x5a601a89,
+    0x19c82f45, 0xa67eb213, 0x8e15c21b, 0x578f74c1, 0xe0e3250d, 0xcb463ab0, 0xb023301b, 0xb711575c,
+    0x5d26efc7, 0x562d24b0, 0x240d6caa, 0x5f3b5f47, 0xc7b0cbbc, 0x3f5dede7, 0x1e7a828f, 0x9f6f95ad,
+    0xa193142d, 0x6f1fad6c, 0x2538b588, 0x4961bb42, 0xbeb61e7a, 0x309a5ba6, 0x1022e6bd, 0xd15f9cd3,
+    0x455c04a2, 0x00072994, 0x8f551464, 0x853842a7, 0xf2aba6b9, 0x282f1b5a, 0x9a1fa7c9, 0x45cc18f5,
+    0x006ce71b, 0x21bc38fb, 0xada02865, 0x6afc6e18, 0xfe598c71, 0x502db22c, 0xb96c1d97, 0xe2d17359,
+    0x885edbf0, 0x44ccd645, 0xc1a5d359, 0xc3423d34, 0x7d24543f, 0xbedca755, 0xa8d72a43, 0xeb8ebb5a,
+    0x3a908b3e, 0x0a629092, 0xb5c678fd, 0x42faa295, 0xfb70a8f1, 0xd2097f76, 0xeaac7bc6, 0x77e25aa5,
+    0xe284d356, 0x55df7184, 0xd01e67da, 0xf134f45d, 0x634c8e7a, 0x82762df0, 0xdb635344, 0x54cc3f5e,
+    0x44b71ae3, 0x4f37fb17, 0xe5f76daa, 0xb9413418, 0xb689fd62, 0x786541de, 0x2bdc302a, 0x7ad40be6,
+    0x188b6f42, 0xa2652b34, 0x37e8387a, 0x3ec7ddf9, 0x293939bd, 0x533f1e22, 0x7f8567ef, 0x4f6ec776,
+    0x3dfe52b7, 0x3b801fe1, 0xb7ac3de1, 0xe5e52681, 0x09767200, 0xd42d2843, 0x9ddf8619, 0xeee419c0,
+    0x76fec570, 0xaf63e781, 0x52173ac8, 0x7b0e2f4b, 0xcba7e547, 0x5fa43878, 0x835705db, 0x7218015e,
+    0x4e664408, 0xff596128, 0x3be228b7, 0x1cbfb351, 0xedef7952, 0xd6d01626, 0xbf59b863, 0x4bbd30c0,
+    0x4024d877, 0xe398dcdc, 0x9bfa5223, 0x0111fd5c, 0x0036458c, 0x3b661f14, 0x384683be, 0x5a3f6726,
+    0xb21327c5, 0x79dc816a, 0x74faae42, 0x8a3f9109, 0x799fb452, 0x811f8f04, 0x630dbd69, 0x4d7ee06a,
+    0x80cb14fc, 0xe132659a, 0x71e883a9, 0x9a5cf224, 0xa1a45acf, 0x66850039, 0x770a5fa1, 0x780c8417,
+    0x37ee1b51, 0x7e5e5967, 0xd4c8c347, 0x5a4f8ed3, 0x2787f25e, 0x7cbf4b17, 0x34dd0111, 0x3cd9b8de,
+    0xbf9bc22c, 0xbf2e3368, 0x0717a632, 0xf605f970, 0xb173f464, 0xf9a998a5, 0xa1c1c22d, 0x5f9559c9,
+    0x95b987c5, 0x2996a42e, 0x98c68cd7, 0xe84b17f0, 0x8a51adcf, 0xfd4dde2c, 0x4eaaf78c, 0x9224ef03,
+    0x30d5b52d, 0x1ef5fdfb, 0xf8e81cd3, 0x43d0d310, 0xeecb2e38, 0x7cf95724, 0xac47164f, 0xc42df6a8,
+    0x89c91dab, 0x5716b18b, 0x67dadbae, 0x0b25a02c, 0x342a8c3b, 0x6d0db50a, 0x400e1218, 0xe1ce7127,
+    0x69e3f718, 0x50db9d27, 0xe4397ff0, 0xe2b2aa96, 0xcbbbbbc9, 0x51cdf250, 0xd85aa619, 0x7582aacb,
+    0xdd4a6bc7, 0xb9197a43, 0x43d57e43, 0x1f5aff6c, 0x09e3beb1, 0x95dedff0, 0xa2214e3c, 0x51e73a08,
+    0x3956b709, 0x8cd6fdf6, 0xfb89724e, 0x2278989e, 0x3ed502f8, 0x719f4f5a, 0x499b992a, 0x0e6f32ea,
+    0xabe08887, 0x222764e8, 0xf805df17, 0x0f9f3db1, 0xb71a4871, 0x03a7bab4, 0x6bf1acc3, 0x703c7a2c,
+    0x8f064325, 0xac9207d8, 0x388956bf, 0xb7a54405, 0x914c7155, 0x935ab444, 0x232728a0, 0x613ab7d8,
+    0x21ad4059, 0xba2e6a15, 0x18730ee1, 0x9809438b, 0xc9162b64, 0xa35d84f6, 0x4472d1fc, 0x7d067a17,
+    0xa0779d9a, 0x2ae626c0, 0x3b0b4477, 0xf27e8bc5, 0x6cc042e5, 0x97220549, 0x09fd0deb, 0xcd92d03c,
+    0x5ebbd9df, 0xad9633b4, 0xe8502f77, 0x882c757d, 0xe3c8d688, 0x002db9ad, 0x32132f06, 0x23127b8c,
+    0xc96767af, 0x1cbacceb, 0x7663bc29, 0xf243aebd, 0xa0b0349c, 0x3837c9de, 0xde568467, 0xef076aba,
+    0xb689d3a7, 0xf4287805, 0x8ee18579, 0xe1d14955, 0x25c9c9b6, 0x53fa9ff3, 0x71822c86, 0xecc1a547,
+    0x51dbe858, 0x10a1e78c, 0x2438290d, 0x247dfd79, 0x51e8399e, 0xbe7d35d4, 0x0d36c0a9, 0x2edf4148,
+    0x913c053f, 0x20929186, 0xf90ce34a, 0x11ffb04f, 0x8ce9b2e4, 0xf1cfc719, 0x90e03250, 0x289135ac,
+    0xf9ff83b1, 0x80db6788, 0x2839052b, 0x3378f835, 0xedef4910, 0x430ab070, 0xe76d04bc, 0x8fac49bd,
+    0xf4b2111e, 0xa4cfedbd, 0x35b0953a, 0x8b7b7d9f, 0x7749fae8, 0xfb89f2e9, 0x846d46f5, 0x617bb431,
+    0xf3283111, 0x8a055c68, 0xaeef2222, 0xf8c81882, 0x52793f7e, 0xbd15db16, 0xa5ea73f1, 0x55ba4961,
+    0x556577f6, 0x3acc7bdb, 0x59f5bdf8, 0x499e3184, 0x2bc66e3a, 0x9bfe7389, 0xdcd53f5f, 0xfb42f245,
+    0xc04b4e50, 0xe0d41365, 0x04017441, 0xb904a0ec, 0x570c86f8, 0x1f250a4c, 0x3ae6e6e0, 0x683b7b0f,
+    0xe361ae72, 0x58ee9da8, 0xd89c70f3, 0xb7d8e664, 0x917fdd7e, 0xed30adcc, 0x3db50849, 0x177352ac,
+    0xc4ddcaf2, 0x7c840cd3, 0x2fe7bb34, 0xd0a924dd, 0xf1d6abcc, 0x5eb13d4b, 0x3a7445f9, 0x02cd2aef,
+    0x02e4cf11, 0x853eadb4, 0x33f65673, 0x6f5403f4, 0xaca7c27f, 0xb240772a, 0x414e3d7d, 0x295456ac,
+    0x858f7f95, 0x096e29c5, 0xd5016bc4, 0x66a53546, 0xe6059da7, 0x4b2091a2, 0x78ff84f4, 0xb5a52fe0,
+    0x6e53e4d3, 0x6bfbf8dd, 0x65ddb1ca, 0xb979d7da, 0xd1023f79, 0x3b0e9042, 0x709d2351, 0x6768f773,
+    0x5d9e5b49, 0xa0f64f9f, 0x7041ecc6, 0x99e04b60, 0xdc6ad2ca, 0xfafcdb6c, 0x14a7bf09, 0xe5172486,
+    0x42a4223b, 0x381659bb, 0xd584eec4, 0xd5518b40, 0x699e70cc, 0x92d1996f, 0x04d3fd2a, 0x9e77e5d6,
+    0x8721f53f, 0x829709cc, 0xf13d39a1, 0x3dd0c80d, 0xd68ca61f, 0x865c473a, 0x56fb7a1b, 0x6d57089e,
+    0xa0280b85, 0x44ef2b8d, 0x57b35019, 0xff348f64, 0x336ac0fa, 0x3e4d6cba, 0xdb904646, 0x63395d38,
+    0xf20b1dcf, 0xd83d72f5, 0xc5e89c55, 0x13202e40, 0x602abb13, 0xc3ca44cc, 0x488e3458, 0x7d80f4a7,
+    0x51b17170, 0x0d98f8c5, 0x790067c2, 0x51cf5c33, 0x9fa05810, 0x5fa3993a, 0xfc583c8d, 0x9d92a594,
+    0xdabe85b7, 0x9b5d4780, 0x3f513a92, 0xff505181, 0x07aeec2f, 0x656989fc, 0xc33f1e0a, 0x9ca31db6,
+    0xa3429222, 0xdf141c23, 0x14c16867, 0x37953d03, 0x051908c0, 0x0d64c5e5, 0xd087843b, 0xaf286f6a,
+    0x9ce8d97e, 0x0df46419, 0x43bc4e86, 0xc43ddfa1, 0x212b9c63, 0x8890c82f, 0x42723183, 0x1a5ddba7,
+    0x7ac3c54e, 0x77cc31ed, 0x4d627e6b, 0x9a0e7ae6, 0xddd8a6a6, 0xd6b28d0f, 0xe3269276, 0xeb9994b3,
+    0x417c25db, 0x9abf383d, 0x5f67df9c, 0x8970e761, 0x4c4fe0f6, 0xf8d860ea, 0xf3958a2d, 0x6b101dd0,
+    0xa3e8dd54, 0xf4e339fd, 0x1eb6d5ae, 0xdaadf336, 0x742593d4, 0x42b49a7d, 0xb6621f4c, 0xec7843dc,
+    0xcb9058df, 0xf8ceb62d, 0x9d0b5b0d, 0xd01eace0, 0xe6934d3e, 0xed15ff06, 0x69beeae2, 0xcf9e355f,
+    0x4ca999d2, 0x1cd369a5, 0x43c32a08, 0xc54e839d, 0x8db949f9, 0x852103dc, 0xc314f030, 0x1b185f9f,
+    0xb4295fbc, 0xba5965c8, 0xc4765c00, 0x8b08c8d5, 0xadf18a5c, 0x5f1f08cc, 0x8b37b605, 0x9aadacf7,
+    0x20990870, 0xa1561c49, 0xf5502bb8, 0x09185991, 0xf00179b7, 0x73067f34, 0x654a9d1f, 0x64659af6,
+    0x399eafe5, 0xbe13c94e, 0xd00ec0a7, 0x935a639d, 0xcd339577, 0xf22074d4, 0x57e288aa, 0x7de01a07,
+    0xa2c01a9c, 0xab688b17, 0x6ac7546c, 0xe94e351f, 0x93a91dfa, 0xd2282e87, 0x8fe74579, 0x87bad436,
+    0xf1450cc9, 0x043f2a81, 0x43223ed6, 0xa128f545, 0x3f9475d5, 0xbb5c7b09, 0xdeffcb42, 0x59ccc3ce,
+    0x71ff6b20, 0xd5fb2a38, 0x782e4d1a, 0x1c252698, 0x8b77bf73, 0xac1bf174, 0x7eceb222, 0x20873b77,
+    0x9dfb4f56, 0xcce02b41, 0x69776e42, 0x1ba8057c, 0x6d627ec2, 0x6dce4edc, 0xebb0b3f3, 0xe3f7422f,
+    0x56d7c8a0, 0xe0d61972, 0x9770a9e1, 0x47845b27, 0x84e92d42, 0x1659adef, 0xd88790cf, 0x439b49eb,
+    0x3878e511, 0xd442a3e3, 0x74c7b551, 0x432ae49d, 0x201ef4ab, 0x95ca32d2, 0xb4a3947d, 0x314a4bb1,
+    0x24a98f42, 0x693bb208, 0xd892de80, 0xf970b6fe, 0x46e76309, 0xe4d67569, 0x0fd24fbc, 0x52a3ac62,
+    0xee3ee1b5, 0x770a049e, 0xbfbef780, 0xf1ae72bd, 0x67067bd8, 0xc462b97b, 0x570d3968, 0x6b8126ec,
+    0x54dee4e0, 0x11091901, 0xcaa90f6c, 0x693d3402, 0x492dfe69, 0x7f209540, 0xd0ea98a1, 0x406687a2,
+    0xd0d70745, 0xd9696eef, 0x3a5739e5, 0xd47ee200, 0x93ed8dff, 0x38a3baf4, 0x9750291e, 0x0773ace4,
+    0x8f6e563b, 0x596b9180, 0x72876c1c, 0xc1365b53, 0xd891b2ae, 0x371adaa5, 0xa1e97d99, 0x3420fe3e,
+    0xdcb417f7, 0x94c53e87, 0x74774d05, 0x140d54f5, 0xa65a10e8, 0x258a99f6, 0x950b70d3, 0x936a291e,
+    0x846a7153, 0x13d04176, 0x5f045632, 0xcc872f48, 0x76b62adf, 0xafd865a2, 0x7dc65d54, 0x96e59a49,
+    0x3b8814c1, 0x4e0b2ff7, 0x2d738e25, 0x85f54b9d, 0xb6c125de, 0xe555aceb, 0x8770e500, 0x7c5fcfbf,
+    0x75135635, 0xedad3f3f, 0xe7caa0d8, 0x84f66626, 0x85d7a7ad, 0x93c5f2f8, 0x8afba3b3, 0x03d4dd59,
+    0x2cf0ac38, 0xfad0bda0, 0xdea038df, 0x3aa9b2e2, 0xfce13773, 0x17d17b7b, 0x564a0251, 0xbe6c6768,
+    0x0fcec63a, 0xca361a28, 0xd607ec7e, 0xfd740217, 0xdff3eec4, 0x953fb622, 0x42a7a001, 0x6ee83e83,
+    0xf5ca3f19, 0x0cdc0cb7, 0xa12e41c4, 0xdafdd26c, 0xee2e4a38, 0xc5fec75a, 0x623c63ac, 0x2b61bb74,
+    0x345bc247, 0x3bc7db88, 0xc3135830, 0x747fb55f, 0x96f68cb2, 0x788cfe43, 0x11b2682b, 0xa78c6dd8,
+    0xf9692576, 0x93256135, 0x58a2ace9, 0x41307ed6, 0xc409549c, 0xc9d151c0, 0x9db17575, 0xc3e53b29,
+    0x9828b195, 0xbb35e7f7, 0x5aeff2d0, 0x626281dc, 0xfd0a5f4e, 0xf8fa802b, 0xad4606e7, 0x1a4ba5fa,
+    0xfc152659, 0x35419377, 0x16f8b17b, 0x64346e85, 0xe08aba3a, 0x87f026ee, 0x6504dd9a, 0xf5af66ef,
+    0x2ab3952d, 0x81c4d5ad, 0xb3a22f1c, 0x12fc0dd2, 0xf3f74216, 0x105fd0c8, 0x1e57e9dd, 0x26fd6668,
+    0x1d0d2bf3, 0x047912ec, 0xc001f7f0, 0x3a9d10d7, 0x194f5651, 0xca443528, 0x7a494273, 0x56aff25c,
+    0x4ebfb5f6, 0x64a46dff, 0x4a44e6a1, 0x12e7f760, 0xdf08b1ea, 0xd23612cd, 0xb228e8eb, 0x81489635,
+    0xef753b14, 0xcdadfc95, 0x054d168b, 0x65510c28, 0xf5bb92ba, 0x545d45a1, 0xbdaa30a4, 0xa17faa15,
+    0xc9fa83e1, 0x3f46dcf8, 0x761a63d1, 0x33b38ff3, 0x64638fda, 0xaea1e177, 0xb891e1a7, 0xb035821b,
+    0x1f0ba603, 0xd7f26f4f, 0x9c059902, 0x35038038, 0xe1de1d48, 0x7959da3f, 0x311b2002, 0x16443de3,
+    0x4522b417, 0xfc834485, 0x3f923619, 0x5fba7d1b, 0x2697784c, 0x0d6220ca, 0x925399be, 0xb01193cc,
+    0x7c795ae7, 0x92288f50, 0x74a7fab5, 0x763576d5, 0x132bc0c2, 0x3a62fe2c, 0xf81de678, 0xdac56669,
+    0x2c08c705, 0xc38777cc, 0xf2630dd2, 0x7667e2f8, 0x37cb10b7, 0xecc5d7e3, 0x1d33f49f, 0xb1891ffc,
+    0xe740714d, 0x033af2a6, 0xca249e16, 0xbf063a97, 0x12f545be, 0xb9c3a332, 0xaee75f72, 0x019522c3,
+    0x47003efe, 0x21fdd0e5, 0xc5f02972, 0x03cc20a5, 0xe6f12702, 0x972bbbd1, 0xe234fb85, 0xc2f4005a,
+    0x0ea16a4b, 0xa1287ba6, 0x843225d6, 0x31a5b325, 0x83581d26, 0x45fca0b6, 0x170afe77, 0x0509a866,
+    0x9b73d401, 0xba195dac, 0x1fbb7b27, 0x2eeca74f, 0x0a8f9194, 0x431d754b, 0x82173dfe, 0x7710c7d3,
+    0x99bc517b, 0xdda4660f, 0xccc76c8f, 0x826b133a, 0xd8649e2e, 0x63a3fdb4, 0xc78fb083, 0x8cca3263,
+    0x94eb6dfb, 0x3861c1f7, 0xabb5e8da, 0x7396037d, 0x7955d12b, 0x02a45178, 0x71f23a90, 0x62475f1a,
+    0x4792d9ad, 0xa8637770, 0x4aa388d8, 0xe01b7fc0, 0x26c7702f, 0xbd78f776, 0xd4e34305, 0x7aa229af,
+    0x6b172abb, 0xec6fcefe, 0x2276c3d7, 0x6c421df8, 0x26bccc5a, 0x6fdb3a5c, 0xf5dc46e9, 0xafa62a4c,
+    0xe030e332, 0x5ebd45b5, 0xafcdc17a, 0x8512567c, 0xb72917c5, 0x6f74f167, 0x2b972b62, 0x190156f4,
+    0xab5315b7, 0x28a145b9, 0x33bc37c0, 0x76f2467c, 0xfea8fb6b, 0x057737a3, 0x86b295fe, 0x12fba875,
+    0x992c20f9, 0xd553999e, 0x3c8f91b9, 0xbe4da8a4, 0xa2526e47, 0x50eb3e0e, 0x8a92f7c0, 0x1dfe549f,
+    0x596f8c4d, 0xb03e575d, 0x4aa570e1, 0x37c23128, 0x6177438c, 0x203828ba, 0xeb59ebd2, 0x09be034a,
+    0x63fe6fe9, 0x7a11afcf, 0xe9e5851e, 0x831f3b4c, 0x4d572420, 0x79783851, 0x56d996a3, 0xba534bf5,
+    0x0d1a30d3, 0x4da8f6fc, 0x94996ce9, 0xcae477bc, 0x489e565b, 0xea43c00c, 0xe498b26c, 0x01a3c19f,
+    0x06233db5, 0x4b133452, 0x2ab21889, 0x8dfa79fb, 0x27212007, 0x4892c1e1, 0xdc2cb146, 0xb334f1d2,
+    0xf3ff9de9, 0xa0c3b450, 0x871285a4, 0x895f961c, 0xcdf71f80, 0x8a533a1d, 0x0518ceaa, 0x7351c84d,
+    0x5416ccd3, 0x1bf708f0, 0x4af1c1cf, 0x6db1e3ff, 0xb9c46c70, 0x10549be3, 0xb4cb808d, 0x13c360e6,
+    0x8829ebc5, 0xfaf6ab74, 0xbb9a15b8, 0x8ccb693a, 0x2ceb1038, 0x2841501b, 0x4b33ba6c, 0xae6cc184,
+    0x3af51279, 0xb79cdf0d, 0xc9918c7f, 0x8f4862a9, 0x096c4aa0, 0xf2085d74, 0xc06d32c8, 0x35c82822,
+    0x43384e0d, 0xb478c55b, 0x32e5e35e, 0x2f5109ca, 0x29601903, 0xa3834b42, 0xfcd75576, 0xb0e2ddc7,
+    0x2b2196c6, 0xe963ef59, 0xf68a0406, 0xa1674816, 0x7766a06b, 0x81de72d9, 0xea6c5c84, 0x9db984ec,
+    0x8bcb4efc, 0x989a5207, 0xd1e0bc26, 0xb8fa5e0c, 0x0dc48630, 0xbb6f57b7, 0x05e4f719, 0x6b6fb4e8,
+    0xe131ad9b, 0x348b9efe, 0xb7ae7a64, 0x9c8bbf0d, 0x95b6230a, 0xa99e0d25, 0x43dfc899, 0x80d25d6e,
+    0x8298b918, 0x85468265, 0xe826b2cb, 0x8dae527e, 0xb2c33e0a, 0xf6529e1c, 0x7ea5de38, 0xab5c958c,
+    0x2e4317f2, 0x1a762b62, 0xfd696c22, 0x4276127b, 0x185dbc60, 0x048fcc84, 0x5e6a742a, 0xa544476e,
+    0x73081f71, 0x7c86d281, 0xeec19002, 0x4b851a23, 0x31d99be0, 0xa57ad79d, 0xbb390e00, 0x245837f4,
+    0xaf3ebaca, 0x4ff8d8e7, 0xd4a0bd54, 0x1dd6c385, 0x23e8f9d0, 0x1d6b7249, 0xaad24321, 0x284b7b6c,
+    0x56298031, 0x8b27b17f, 0x39897bb3, 0x8ebfcce3, 0x56a64757, 0xd17200e8, 0x0c5110e2, 0xdc9b9ce3,
+    0x0ff67c44, 0x0da90b0d, 0x9e0efeeb, 0x991666cf, 0x2f734018, 0xd483fa04, 0x5d3835fe, 0x871fc7b8,
+    0x970f8b2e, 0xfe6864d0, 0xd8415ec0, 0x0941ebe9, 0x565f1418, 0x53689570, 0xc51aa8b1, 0x282bdc3d,
+    0xb2f05df9, 0xce12585e, 0xd569a671, 0x3cf4ef99, 0x3de2878a, 0x633559be, 0x12f43eb7, 0x9ace5ffb,
+    0x132fa952, 0xd84dee98, 0xf0c50829, 0x0c998929, 0x7053bd14, 0x4c859de0, 0xd4720e40, 0xfec47aee,
+    0x00000000,
+    0x4cd96c54, 0xff4dafdb, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000001427247692705959881058285969449495136382746624 */
+  { 0x00000000,
+    0x5fd15bfc, 0x4b4d570a, 0xa83c9bb8, 0x430e33cf, 0x284b7a99, 0x2404d8d0, 0xb5b48887, 0x3ff32278,
+    0x2b9cb115, 0xde2f35a4, 0x9e602aab, 0xe3ae074d, 0x80f489bd, 0xe9d5a622, 0x64a643ba, 0x40f95e4d,
+    0xe37d1c01, 0x7fe0e9b6, 0x4eede3c5, 0xe5cfc21b, 0xda8d4276, 0xd1fd23cf, 0x33cf8eaa, 0x12b21f1d,
+    0xa5124cb8, 0xaadbf97c, 0x4a0caf2e, 0x38472a6f, 0x0e11ca86, 0xeb679a0e, 0xe5361bb1, 0xeabee9c4,
+    0x2c96b76d, 0x2b78a1d0, 0x8815df68, 0x0fd3e248, 0x27654a0d, 0xda829506, 0x019117d9, 0x194ceb0c,
+    0x5438b2e9, 0xdc51c2c8, 0x3397a63a, 0x2b260dce, 0x0e7e3aa2, 0x75fa58e6, 0xb3015029, 0x842f0ae8,
+    0x2dbecedb, 0x47f4333e, 0xe89e9a5b, 0x694695fc, 0x4ce61f8c, 0xce7ca8d9, 0x230c5852, 0x6129a3ec,
+    0x32c6e1a4, 0x4060c69c, 0xa1590877, 0x5b434012, 0x3994665f, 0x0ddb261b, 0xbe5b1b2a, 0x07d7cfc0,
+    0x48b0db57, 0xe9b0fec4, 0xd47bdc90, 0x494d767b, 0x94b39130, 0x19beaf1d, 0x11f3d3c1, 0x7c6bc214,
+    0x34647bea, 0xc17236a3, 0x7116ee48, 0x4c404388, 0x120074f8, 0x7ba3e71f, 0x9c24b3d6, 0x9f5dc658,
+    0x58bf312a, 0xdea6181d, 0x03355e63, 0x15c73c3f, 0x157a20bf, 0x0cd4fb77, 0xc73ef3ed, 0xdf91f477,
+    0xc339cfcf, 0xbe06b9d8, 0xdb673dd5, 0xb129bc09, 0x92cfba48, 0x74d82794, 0xd919958e, 0x73fa3d05,
+    0x7b920fc4, 0xbcd2240e, 0xe2e98ac9, 0xbd230421, 0x9f346635, 0x9f07be03, 0xe5675c19, 0xbfd1ac19,
+    0xa75f36f7, 0x28ff73b7, 0x59654b82, 0x891355f0, 0xa8698949, 0x9532ffe5, 0xf371c3b4, 0xf49317a5,
+    0xcde03e84, 0x85b3eca1, 0xfcc0e817, 0xf02d81c3, 0xca2530fb, 0xdf0230e1, 0x6bd91160, 0x4b228fda,
+    0x86e436b3, 0x87fd5d35, 0xf5abf42e, 0x026e9eae, 0xfb7d2787, 0x6b8be2db, 0x12b4db7a, 0x0f09d916,
+    0x9561e7dc, 0x8cd3cfdc, 0x6bc6f599, 0xb1be4ac3, 0xafa3ebbf, 0x57acc4a9, 0x9fdb59f1, 0x40dd6b7b,
+    0x4474c545, 0x35e012ed, 0xac066d8e, 0x5afe901f, 0x7bac67fe, 0x24dc0969, 0x7397c4a0, 0xd8efb5c4,
+    0x8dda27c7, 0xdf54cfd6, 0x29519508, 0x2948f7c3, 0xa1671dd2, 0xfe915878, 0xa4988d52, 0xdf3f72fb,
+    0x04934bdc, 0x7aba84b7, 0xc86db3e8, 0x794bc3c9, 0x86179721, 0xd481c84b, 0xd7e9bb6e, 0xaa7e1a56,
+    0x597f2096, 0x39276090, 0x13388e5f, 0x86a28445, 0x00cc85b1, 0xbe4dd7a9, 0x3c1cb763, 0x725728c9,
+    0x01da021e, 0xaa0fd33f, 0x836d79a6, 0x382b783c, 0xe28ca801, 0x9ebcddb5, 0x3ac9ef0d, 0x7a0e7370,
+    0x01168497, 0x565243da, 0x9d0f161a, 0x48f11a0d, 0xb1a2f894, 0x7ae64d47, 0x70bfc27f, 0x386cb0d5,
+    0x06d5a436, 0x66e82581, 0x3a79981b, 0x38069c5e, 0x56f37224, 0xa8a9bc90, 0x9925d65e, 0x1a02588d,
+    0x7a4be9fb, 0xcf69f8ca, 0x6fb0cfa4, 0x7ca00ef8, 0x2592ca90, 0x48faab31, 0x3af9c7c5, 0x24bbecb0,
+    0x53085824, 0x00e62c25, 0x751459a5, 0x90a83feb, 0xc79d2c9f, 0x2f077049, 0x9c5cdcfd, 0x86957bd0,
+    0x5f4b0597, 0x5ee6c5d4, 0x774fe045, 0xb4c77b80, 0x98b066b7, 0x847a82da, 0x65532499, 0x3dbad677,
+    0xbfaf056e, 0xee953890, 0xc164d781, 0xf1825d39, 0x4daf3f8a, 0x963bfe20, 0xdc064bee, 0xbbb49249,
+    0xe570a978, 0x36594601, 0x50fd8f69, 0xa7af3bd9, 0x45927046, 0xe325434c, 0xf96eaae5, 0x7c529f63,
+    0x5815699a, 0x2508a10c, 0xbdc28ee3, 0xa68ef94d, 0x55ff6e4e, 0x9a6e472e, 0xe781d0db, 0xd19ac4d0,
+    0x0803023c, 0xecc7b68d, 0x3dc657cc, 0xd45117ff, 0x4238d5c8, 0xcc6608ed, 0x36c37110, 0x4220cb67,
+    0xd490ce7c, 0xd93e6c14, 0x95365e65, 0xaf41cd4e, 0x1008d1f7, 0xfb846778, 0x788db88e, 0x4f5d0045,
+    0x322f01fe, 0xb3c0e5a1, 0x896c3cab, 0xf7613e53, 0xf151b0a5, 0x515ad2db, 0x0ef5a5ed, 0x25523412,
+    0xf3249485, 0x7d1863cc, 0x6aa7e147, 0x697638b6, 0x821401bf, 0x13cf404a, 0x26b688fc, 0xc83843a1,
+    0xcd223b74, 0x8b63522a, 0x7081c890, 0xcd530e2e, 0xb45f5c26, 0xf024acff, 0x20d638c0, 0xc0102f44,
+    0x0e819184, 0xc067ffbd, 0x8e682fc9, 0x7e44a847, 0xbe9f666c, 0x06b2b8da, 0x4108ba11, 0xb84a891c,
+    0x8ea814fc, 0x4ed99773, 0xafec1585, 0x687206eb, 0xab4d3155, 0xdc0f377e, 0x0eca28a5, 0xd747ce23,
+    0xc84981e3, 0x4fe5113d, 0x022fe67e, 0x32caca74, 0x8efe458d, 0x38bf94d5, 0x4039816c, 0x4abcf8a8,
+    0xb25d1d96, 0xabbeac5e, 0xd4fc959d, 0xa7b81abe, 0xb8dae79a, 0xd74bf997, 0x28003383, 0xb3ff3584,
+    0x05f48e20, 0xdbc869de, 0x5641ce2a, 0xd7ce2cf7, 0x3ecf8959, 0xbbe2648f, 0x6c417f09, 0x80dca74b,
+    0x683b4b37, 0xc04cd91e, 0xfa24b7b2, 0x6c73710c, 0x3f604101, 0xad91a53d, 0x89badd51, 0x9f3786e0,
+    0x48fbac40, 0xf4d702b5, 0x3e85e311, 0x78a701cc, 0xf0fb514e, 0x29aa12b0, 0x39e64d68, 0x68c27d4f,
+    0x1640ac06, 0x9a50b3a1, 0x456b01c2, 0x6b61cd23, 0x49bb52bb, 0x2f4df8d4, 0x9faad57a, 0xa9ce7363,
+    0xb9cacbb6, 0x0f41093f, 0xd0f9045e, 0x93f1f9fa, 0xbabfad19, 0x6d992603, 0xa9916fcd, 0x00f1bd5b,
+    0x360c8eb8, 0x706757d4, 0xdfbd978d, 0x93181991, 0x3db342d1, 0x595f0fb5, 0xb05f9be3, 0x613a503a,
+    0x3981d721, 0xc24cb15c, 0x1d7c6219, 0x66b0ba55, 0x463f644f, 0xf98366ec, 0x1c42360e, 0xe944dde1,
+    0x6712f3f9, 0x365b9ee1, 0xa95dedd0, 0x9000edd7, 0x07299456, 0x4e66ae43, 0x58d5bf9b, 0xa7f55f7a,
+    0xb25ba617, 0x025d5acb, 0x93725d0e, 0x7a2f1299, 0x8ecf024c, 0xf004dc34, 0x2d01990d, 0x91e415f3,
+    0x8c6cf50b, 0xe0a6461c, 0x1a7b3f90, 0x043438f1, 0xb6d8f5e6, 0xe9f21296, 0x5e02b854, 0xccef44e7,
+    0x05c08a88, 0xf00d97ce, 0xd5eb1c5a, 0x67e95e7a, 0xed1e6b87, 0x77f57af4, 0xa51bcf88, 0x014cabe8,
+    0x7e045384, 0x399ee43e, 0x41df1d52, 0xab626b13, 0xf8592a19, 0x785b21f1, 0x98454337, 0x5e416d7f,
+    0x385cda5f, 0xb830ed46, 0x8fb6bbff, 0x5d307905, 0xdb06226e, 0xc700ac1e, 0x7602ad02, 0x8c51a56c,
+    0x894aaca6, 0x889a9fa1, 0x65f8ffee, 0xfb479f37, 0x62b255ee, 0x9c74c052, 0x2fb45269, 0x7789255a,
+    0xff893a25, 0x532aa74a, 0xe7da3664, 0x8565a554, 0xe42b432c, 0x5094388f, 0xee8c3500, 0x0c8cfad8,
+    0xd3c842e7, 0x5db29bc1, 0x69cbebee, 0x5514c3f3, 0x6ff68f7f, 0x9c395386, 0x3e360c2d, 0x725e654a,
+    0xe572a589, 0xbbf36f3a, 0x6ec2da49, 0x49057cf0, 0x590cd50e, 0x92823d93, 0x7d039cb8, 0x6f402839,
+    0x6c745d4b, 0xab754e98, 0x4f959f61, 0xff7b043d, 0x3c22b895, 0x21819593, 0xbc766836, 0x4134aef6,
+    0xb2809182, 0x9e37926b, 0x45fefd26, 0xaca340c4, 0xcdf69500, 0x1add14fb, 0x837a6224, 0x77169ba7,
+    0xeb0c15ae, 0xb66bef88, 0x939be7ce, 0x042ebf49, 0x70dc1f17, 0x1af2c606, 0x495ab5c0, 0x8c3802df,
+    0x605da749, 0xe5db0b24, 0xb5598afb, 0x494f4909, 0x366e19dc, 0x6f9311fb, 0xf4eb7c9f, 0x3204dc1d,
+    0xd7d11cc0, 0x9e607e38, 0x95115901, 0x36888d92, 0x8b883fd9, 0xc29c8639, 0x1c3feb0e, 0xf20edc40,
+    0xbedab887, 0x07f440b3, 0xc8bcc654, 0xe28c07e9, 0x41e09962, 0xdfd74b0f, 0x75f2c6e4, 0x4c2db6f4,
+    0x062ee037, 0x03bfffb6, 0x5014b691, 0x4979e074, 0x5a640c00, 0x9f6f3910, 0x40bc4e7e, 0x1136731a,
+    0x07cd2e16, 0xe3806c75, 0x78c93236, 0xcac28453, 0x765e5625, 0x9db6ae7c, 0xd3ee7cea, 0x19cb3891,
+    0x43dd1249, 0x6c696d54, 0x6115e1cb, 0xe2051e3c, 0x34dc5c70, 0x5041d1d2, 0xf882cb6b, 0x465efd4d,
+    0xcddd183a, 0xa4f0c693, 0x74016a6b, 0xa1cbf49b, 0xed569f17, 0x0fa2be41, 0x53c16d93, 0x7246065a,
+    0x1b3451f3, 0x28596a2c, 0x74a960ef, 0x1aad76e5, 0x31424c58, 0xa3a956c3, 0xd3632819, 0x32fa9ad0,
+    0x73a8b924, 0x83ef8d08, 0xb763e203, 0x36d914f3, 0x83f65d22, 0xc7cc9d0d, 0xe7d411dc, 0x0c303c4d,
+    0x108a1e71, 0x6f0429fd, 0x8705643f, 0xfbf71e22, 0xbc93c167, 0x11d5ff54, 0xa0226836, 0x403a6119,
+    0x1a52ff87, 0x6d6e6e7f, 0x9130ae2f, 0x45be52ca, 0x513afc6d, 0x8423391f, 0xf175ed30, 0xf0ac786d,
+    0x32e1bfcc, 0xe3960eee, 0x12917805, 0x3a8631fa, 0x2842b8b7, 0x34e39691, 0x41c22fc7, 0x35bcff64,
+    0x1e46dfd6, 0x1e6a703b, 0x302292ac, 0x8fdfefd3, 0x4087b1c9, 0xbc2265dc, 0xf32354bb, 0x006dfc34,
+    0xdf6e1a10, 0x9935912f, 0x5ec07d28, 0x11c50ae8, 0x96d0efb0, 0x25c88486, 0x249eebac, 0x33706bce,
+    0x986b3ea7, 0x84d2dbef, 0xfa956efd, 0xfee53c60, 0x86560971, 0xa94c5430, 0x6557754f, 0x574b7db9,
+    0x10fae6eb, 0x4227318a, 0xe6d798cf, 0xfa732610, 0x97deb0c5, 0x9614141d, 0x404246ba, 0xc5432957,
+    0x47ebc7a4, 0xdfe983f2, 0x61b266a5, 0x74d18c24, 0x8d9213c7, 0x722341e7, 0xf30c2549, 0xad01b107,
+    0xa43bd8d8, 0x10dcb4b5, 0x4ec5c285, 0xa7682241, 0x1951dd2e, 0xf43edef3, 0x897298f7, 0xb7232630,
+    0x01e25758, 0xfc0d4cc9, 0xaf508b17, 0x58b7f543, 0x2431d3f3, 0xec36d42b, 0x36a9446f, 0x22e076f0,
+    0x158b7861, 0xc16e2e83, 0xb50d93d5, 0x3e3b8eeb, 0xed82172b, 0xe96a85d7, 0x2ad3c1bc, 0x75541006,
+    0x25e61b5d, 0x99f14234, 0xd4db6de7, 0xc9aa6175, 0x8de0b932, 0x24a2c20e, 0xc9f249e5, 0x02a59421,
+    0x4c838047, 0xd4b0c4df, 0x93f8b888, 0x9be1ce04, 0x5c73e0bc, 0x9b718fc2, 0xf2430cdb, 0xbaf91b44,
+    0x016cc746, 0x5f3cafc8, 0x4d0f25f1, 0x1668e95e, 0x53739713, 0xc086293d, 0xdbec24fb, 0x0dd05500,
+    0x1967b2d7, 0xc420921c, 0x3831e8ef, 0xfb079e5c, 0x7da2ec7c, 0x50ceb40c, 0xac81016f, 0x12bca2c8,
+    0xd77d8bdf, 0x87d6ed4c, 0xf158fe76, 0xf0ec70be, 0x26b5b787, 0x368f4459, 0x7f9f2fab, 0xc5f97682,
+    0x7ee42382, 0x0ab79cd8, 0x62717837, 0x21f312b6, 0x290af111, 0xd662ec60, 0x9e2c8a08, 0x80cd34a6,
+    0xcbd20166, 0x2c2fabda, 0xe12aab68, 0xa6b41822, 0x93d956ed, 0x9176b8e8, 0xa08b1965, 0xf0f9ab48,
+    0x1406ada6, 0x397dec3d, 0x539cb1ea, 0x53ad542b, 0xc07f3082, 0x9660267f, 0x1a5baafb, 0x6fd3f827,
+    0x70072340, 0x776fd789, 0xb5c7e962, 0x69f78162, 0xe48065a3, 0x4c880537, 0xbc79c35b, 0xb02a3e25,
+    0x9bcbce84, 0xb381fe39, 0x94e1a2cd, 0xfbeb80e4, 0x9c4e77ff, 0x8cac0e89, 0x6b540c3f, 0x10fcec16,
+    0x32eebc89, 0x5b60b649, 0xbaccf0dd, 0xb7ffa81a, 0xf939b76f, 0xbfabf1f6, 0x2b34f54c, 0xbfd49a32,
+    0xba3f52e4, 0x211c4128, 0xacbbbc66, 0xafdb1949, 0xa4980d7f, 0xfce36aad, 0xe1a115f5, 0x060cf6f9,
+    0x589337b7, 0x757956e8, 0x03a54309, 0x27edfe01, 0x19bf043d, 0x4d38c1f4, 0x3ed75976, 0xd90c1c5b,
+    0xcdc65938, 0x98bb3f28, 0xa2f01ecf, 0x55f7c045, 0xef3edb83, 0xe58f3216, 0x8df8b8cf, 0xe4a228a9,
+    0x2bb48d85, 0x727ad901, 0xe355eaf6, 0xea0d14d8, 0xae3fdd35, 0x60dc6dad, 0x1b435433, 0xad657eb7,
+    0x54f620ab, 0x42cb4efe, 0x6e99f974, 0xd654791b, 0x84e8df46, 0x6df823e0, 0xe3c62ecf, 0xae326cfa,
+    0x8aa11048, 0xf9e1c0e1, 0x885aa929, 0x130329b1, 0xc3e96c6a, 0xc88877c6, 0xf8a34fa0, 0x6bbdc699,
+    0x8fc1c1b4, 0x2e72f959, 0xbbd33bed, 0xbc0aa03d, 0x15abf74f, 0x01463b76, 0xfc4a3caa, 0xd1921717,
+    0x5bb1afb4, 0x0ad635ef, 0xa4083ef2, 0x0aa5020a, 0x7152bf4e, 0x32be64a7, 0xda040d39, 0xb2125a7c,
+    0x7732df9b, 0x75cc4777, 0x4c1718fe, 0x986d739f, 0x88783168, 0xb2c59d2d, 0x0c4294fc, 0x9fc6c942,
+    0xf1fb2d60, 0xc1670bf2, 0xe1ad3797, 0x848da3cb, 0x87a35018, 0x1d749187, 0x3467ace4, 0x83e0f511,
+    0x8439584a, 0x3ae5baef, 0x8f918ad9, 0xcf3fbaa1, 0xffce6334, 0x9150646f, 0x8c5aad11, 0x97e97697,
+    0xeb423847, 0xbc8373e5, 0xb773107f, 0xbd65d882, 0x134053b2, 0xdca72d72, 0x6286a776, 0xfe01c7f8,
+    0xb89bc0cb, 0x9d0ce549, 0xea1d11e6, 0xba754df7, 0xbc13f59d, 0x42a66f8b, 0xbc73d181, 0xe7e47e72,
+    0x09ffa7aa, 0xb6c36855, 0xdb447c31, 0x1fbb8cf1, 0x0086f8ed, 0xaee37264, 0xb730b4f3, 0xf135a02a,
+    0x930a833b, 0x9c614348, 0xec0289c7, 0xa49fe8af, 0x43c8126f, 0xb4e1f4a7, 0x8c175056, 0xcf936035,
+    0x98431b8b, 0x493f1b82, 0x5ee742ff, 0x8f556306, 0x9b0a2ff5, 0xbb0ac8a2, 0xa51db45b, 0x62da8d6c,
+    0x0ae97c25, 0x5e8d11dd, 0xcf639049, 0x3375eef7, 0xaaee4ded, 0x735fa2de, 0x8be43fdb, 0x0db6db72,
+    0x17dd8c04, 0xb0870f9b, 0x587a1bcf, 0xb56909a1, 0x8ca7065d, 0xa9c2665d, 0xf29317b3, 0x48ba6e6f,
+    0x9a2a7e25, 0x57a5a868, 0xca6aef1f, 0x4ae99022, 0x0710bc03, 0xc31ff682, 0xe4136408, 0xbb9454f5,
+    0xf8e3a918, 0x1070f82a, 0x937716b0, 0x00b3bb3c, 0x23fd6a5c, 0x47a83145, 0x27c95be9, 0x89a9b7c7,
+    0x7a25d31a, 0x7d0a3c27, 0x0dbd4b48, 0xe833f3af, 0x4b2735aa, 0x0f8672c9, 0x44680cdb, 0xd9753246,
+    0x976921d0, 0xa22051c2, 0x253a9f08, 0xfb3c0f8b, 0xe6ecf511, 0x6c845a90, 0x32e1c1c8, 0x3e9ed460,
+    0x13b12cdc, 0xd8b18fb7, 0x74ed5f7e, 0x6e3e4a4a, 0x740097b2, 0x7c14af51, 0x47cb1c82, 0x65e1f7b1,
+    0x644384d8, 0x8a195884, 0x56c71e2d, 0xbc7009fc, 0xc68d33b3, 0x6d8c19a9, 0xf29ac5d6, 0xe7b4f04d,
+    0x035b4fe5, 0x18278f18, 0x364c79d8, 0x3838f2d5, 0xf90af19f, 0x940e9b6b, 0x911ed440, 0x5eb44fea,
+    0x8f6538cf, 0x93e4da38, 0x0144d5db, 0xef325071, 0x799c7a19, 0xa4892632, 0x35b520a6, 0xc0e00167,
+    0x4d073bee, 0xd7107b79, 0xd7807f7b, 0x0fce886c, 0x3832f69e, 0xedd0b124, 0xfdea5dbe, 0x254452f4,
+    0x094e0352, 0x9f5e5ff0, 0x5c7ce7d4, 0x682a59ff, 0x45659c9a, 0x1254c09f, 0x321452b2, 0xe3127d91,
+    0x0c5dc4f8, 0xc732a556, 0xeed63f0d, 0x3fab1d09, 0x7f84eaa0, 0x552317e7, 0xb92643ba, 0xa6f1117b,
+    0xb7f93bac, 0xc1c24962, 0x7be26d89, 0x0c1bb987, 0x43e69eba, 0x70a02340, 0x727f104c, 0xdc8aed73,
+    0x675db9f3, 0x43c448e9, 0x7f11fef9, 0xcab75f72, 0x00924f5b, 0x9a791a26, 0xfacdec9f, 0x0edccf87,
+    0xd4e55625, 0x82b430d5, 0x7cfaafea, 0x79d33833, 0x358348ee, 0xea076b9f, 0x5cbf2ad0, 0x1370ca98,
+    0x7259ac6e, 0x7175789a, 0xa00b3ad5, 0xb98fa3bd, 0xce493f1e, 0x11420676, 0x03ea302c, 0xc49ea3ef,
+    0x1c3ccf24, 0xab304fac, 0xa2c29d94, 0x632d9b74, 0xc4c29f8e, 0x8106d6f6, 0xdbb1a7ad, 0x1984d308,
+    0xcfa731dd, 0x709de324, 0x175678e3, 0x0da10f94, 0xcab30366, 0x1bab11c0, 0x40a8ca74, 0xbf55a8e0,
+    0xc1e2ba50, 0xfd54f19d, 0x2dab739b, 0x6a0609bb, 0xfa066c34, 0xd9f682c0, 0x46b98858, 0xff620cbd,
+    0x00000000,
+    0xa66cb629, 0x7fa6d7ed, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000713623846352979940529142984724747568191373312 */
+  { 0x00000000,
+    0xc711165a, 0x6e471dda, 0x6e3ea277, 0xdc8d350a, 0xa9bdda24, 0xae7a8289, 0xb7b48865, 0x0e3caed9,
+    0xd88be81b, 0xb2f7274a, 0x6b03e277, 0x7f5cb14a, 0xa6317bfc, 0x1a2411a4, 0x415c14e5, 0x54766666,
+    0xa4335eab, 0xa4919861, 0xc9793f25, 0x7095d82b, 0x619a8962, 0x61fa0aa0, 0x8943a43e, 0xfd5bc3ed,
+    0x5ea96d93, 0xc25be6d9, 0x38b79a3d, 0xea2e2e60, 0x897eafa1, 0x27c07930, 0x7a4299af, 0x22d19ed0,
+    0xf7e99c58, 0x33fc852f, 0x99ce4ce8, 0x1f23423c, 0x2b5f74b6, 0x0b8a2f2a, 0xb0e800dc, 0xef5d7b75,
+    0x7675b0c1, 0xc49c7a73, 0x20bd4090, 0x11f85780, 0x316d14c2, 0xd0e74624, 0x19d07440, 0xfe36f4f9,
+    0x67e625b3, 0xf71ddf61, 0x38542e0f, 0xcfa8ec8d, 0xa5bffacb, 0x584fc3e4, 0x640b39d5, 0xaa4a237f,
+    0x9bf1706c, 0xd1422030, 0x7291d8ee, 0xdbd7d5b4, 0x0cca9495, 0x55dbd739, 0xd07d0a04, 0x36f1b52a,
+    0x1cfca8e0, 0x1c3215cf, 0x4f24ee2f, 0x9e10f04a, 0x5c9b3a3e, 0xfcc1489b, 0xd15ed45c, 0xa31dcc34,
+    0xd4a3a936, 0xf4e7c968, 0xa40a0373, 0x83d154df, 0xe94de0da, 0xdd405c32, 0x84429707, 0xc894cdf6,
+    0x448523e9, 0x690771c6, 0xc09d1ab3, 0xcdd73914, 0xaf143d28, 0x2c162f11, 0xf5171049, 0x34a478c9,
+    0xcc6aac54, 0x27bcf741, 0x37dbd4b0, 0xd0c6e32f, 0xa1dfa916, 0xb650808b, 0xebf125d6, 0xa83ced7a,
+    0x45955dbd, 0x4346fcdc, 0xff741350, 0x430b1d1b, 0x2b4b9d86, 0x6de1c582, 0xab54e392, 0x4f11724c,
+    0x8453482b, 0x206b41be, 0xc82c1ebc, 0xaa9b38a9, 0xe6f851c7, 0x36b32714, 0x552c8872, 0xcc8b7e52,
+    0xb7660811, 0xde2b3682, 0x37ffd44d, 0x736f17b6, 0xa5be1152, 0x5cf03a8b, 0x697b292e, 0x6785d689,
+    0x80ca0808, 0x8871bea5, 0x5e901941, 0x3585af33, 0x2c7dd118, 0x4ce76ff5, 0x70efca24, 0x6cfdeb0b,
+    0x510b16f4, 0x54b9e16c, 0x7d1901da, 0x72907be9, 0x10c1069a, 0xbfbae9fc, 0x397b4894, 0x2c63b9cf,
+    0x896011d8, 0x0a44147e, 0xf9ab896c, 0xddc979e6, 0xd2f24a6a, 0xeca376bf, 0xe55fafbc, 0xbe10c1f0,
+    0xa29be9c5, 0x2f84b153, 0x814973e5, 0xe2744782, 0xb273b25e, 0xd6483195, 0xaafd7f8f, 0x49d01282,
+    0x128c795f, 0x824bdd37, 0x677f6e9f, 0x375230e0, 0xc527bc6f, 0x744147dd, 0xf05ef84d, 0x823422f2,
+    0x27ba7a1f, 0x6c4a29f9, 0xe781f6e3, 0x35880c3f, 0xa5555e38, 0x1947317d, 0x7ad0c292, 0x676c8cf5,
+    0xca6b57d7, 0xf271b2b0, 0x789c212e, 0xa50ed3f2, 0x4682f236, 0x649b2e08, 0x5d00a03b, 0xf946165a,
+    0x1bfa42e4, 0xb10d8124, 0x66859ef0, 0x43d23e7f, 0xf88473c1, 0x18139541, 0x39c30450, 0x8b64a81b,
+    0x94416bed, 0x1b574401, 0xe8180b9e, 0x0f8be720, 0x76390cc3, 0xbd753ae0, 0xa1c0b8a6, 0x28e7d3b0,
+    0x208ccc3b, 0x9c9d51d6, 0xd810910c, 0x780236fd, 0x1da7a2a1, 0x95b4c652, 0xee4b628b, 0x4da90588,
+    0xfcae9827, 0x25577d9c, 0x2afe7e53, 0x67a7df8a, 0xc260b061, 0xf6c253ed, 0x28b9b85e, 0x406c6348,
+    0x466d2fe6, 0xa42249e6, 0x4a7adc0a, 0x43b00fce, 0x15883fd4, 0x3626f6e4, 0x2cf3066c, 0xd6b42a6f,
+    0x697303eb, 0x777e7613, 0x9a4fad35, 0xd766a47a, 0xd595473b, 0x5c0b1cd1, 0xab2ea5f0, 0x5eabf89b,
+    0x68bbed0a, 0xbab6e6d4, 0x4b019c4f, 0x08164fe5, 0x2a0eee7d, 0x3eb3942a, 0x6ba7a8a1, 0xa399c82f,
+    0x79090fb7, 0xaad3dc89, 0x8baceb14, 0xdc45bf68, 0x90ef5804, 0x5b35de35, 0x684668a6, 0xfc79da15,
+    0xbbab34ee, 0x09ba6f0c, 0xcf0a8ae4, 0xd7e3c928, 0xa1fb66ec, 0x96067ffd, 0x6b11d169, 0x11666036,
+    0xa2f1688e, 0x5fa04022, 0x5b127703, 0x752447df, 0x4c5ca362, 0xb4b1a43f, 0xb6786428, 0xe574a513,
+    0x3210934a, 0xab2ff046, 0x0b3e6df5, 0xd646150c, 0x2f8e2888, 0x39ff769e, 0x9758a8f5, 0x0e9172ba,
+    0x255a7ef5, 0x1dec0124, 0xd52eb764, 0xecc2c115, 0x363a1cec, 0xe31295b2, 0x255ba1da, 0x1f7531c4,
+    0x01648504, 0x64e16cf1, 0x55ccc825, 0x4693386e, 0x29e3a431, 0x145ea8f6, 0xd16ddcbc, 0x104780a1,
+    0xdcf92dac, 0x105d62c9, 0x92c300b0, 0x0ca871c3, 0xbea0c2cd, 0x09e8fefb, 0xb7b94540, 0x3bd3fde1,
+    0xbb2a03fb, 0x8e62fa58, 0x4dd31be8, 0xcfc59667, 0x3a99b457, 0x04061623, 0xca945387, 0xfcff68cd,
+    0x196256a1, 0x28f6f92d, 0x21104e43, 0x7910fdf1, 0xdd116f1b, 0xba2aa9b7, 0x01f96e86, 0xae3e87f4,
+    0x905fa195, 0x5c7f776c, 0xbbab4cf1, 0x2493e840, 0xc19f0e10, 0x9de7a9f6, 0x558c20a4, 0xc537a86c,
+    0x482dc609, 0xb3abef82, 0xdef6112a, 0xc56a2693, 0x057cf8c6, 0xb515a18c, 0x9149e9ec, 0x16c98f28,
+    0x1982f1db, 0x5947ea80, 0x88563781, 0x1c1e15d4, 0x7555169d, 0xdcc94c84, 0xca76815e, 0x622d5672,
+    0xd0ff9f7d, 0x4c17c750, 0xbf3d7fca, 0x27b2bd9b, 0x59187f78, 0xf7ccc22d, 0x84b463d1, 0x5f3b767d,
+    0x4a9bfdbb, 0x58527890, 0x100e1546, 0xe7ba9e11, 0xefc0a81a, 0x4ae520cb, 0x1fdaeb5f, 0xe8825be4,
+    0x259b6fec, 0x77797d8e, 0x9f06f225, 0xf23ac6f2, 0x8df40dd4, 0xafa3869b, 0x3bb4194d, 0x327322a5,
+    0x29e891cc, 0x2d5460b8, 0x4182bf79, 0x01ab1e66, 0xad425ef2, 0x2717f62f, 0x3989bc1a, 0xeb336615,
+    0xd9894aee, 0x4d3f113f, 0xe0298675, 0x5fa590f1, 0xd2476219, 0x297eb1d1, 0xa37aace2, 0x789d1942,
+    0x0d9a3b23, 0x7542a8f5, 0x1fcf6224, 0x7fe43cdb, 0x25c085cf, 0x91109665, 0x4ed7a2d5, 0x35e45cb7,
+    0x1f31a034, 0xa43af233, 0x4522f124, 0xe4070a03, 0x60797369, 0x89704c90, 0xb10b4c9f, 0xab9a9f8e,
+    0xf3207433, 0x7f421883, 0x6fdc17b4, 0x5ac24dc1, 0xe98ed6c6, 0x6df9671f, 0x7fde05d2, 0xf9e28e0d,
+    0xe0f312f4, 0xfbf9b190, 0x92b235cd, 0xac2f37ec, 0x303898ce, 0x301d3925, 0x5b3412e2, 0x028d867b,
+    0xbe0dccc5, 0x40b2cc68, 0xc7f71cb7, 0xa2a5f3a3, 0xd481cf0a, 0x02859338, 0x14f912d3, 0xbe58031b,
+    0x1adf5038, 0xf180df77, 0x428bbb56, 0x21c84c24, 0x2dbdb918, 0x99a22d71, 0x835b6a08, 0x2db73679,
+    0x18237ea8, 0x225fdd60, 0xbfef56c8, 0x6a26a227, 0x012b17dd, 0x571ec19d, 0xc23e2570, 0x4746ed03,
+    0x6a013f37, 0x71a970bc, 0x70e24459, 0x8266dc8f, 0xf4c447f3, 0xf8f58374, 0xc0f271c2, 0x507a3d48,
+    0x2a0465c1, 0x34978d1e, 0x868ed583, 0x10a089e6, 0x3e122adc, 0x5e119e9a, 0xb56763be, 0xf751e2b9,
+    0xc81ba540, 0xbdfcbd89, 0x4ba5e602, 0x1d7605d5, 0x36e31e01, 0xbb7fb6c6, 0xfa4d8837, 0xb2266781,
+    0x70e7489e, 0xc0b5190a, 0x82eac7e2, 0x5e75be0e, 0x7e370798, 0xff9cd3b8, 0x2b09a507, 0x9cb88f46,
+    0x4cf8c258, 0xab35e887, 0x05811e82, 0x8fb6f119, 0x535f0e2b, 0x55c16302, 0x9f65482a, 0x2298f7ca,
+    0x7b244854, 0x6ceac8e3, 0x8fa4515e, 0x1a2606c5, 0x2612b6f9, 0xb551760b, 0xaa837d35, 0xb8dc26d2,
+    0xddc9fdd1, 0x375eca02, 0x9986994e, 0xbdffa736, 0xce7f1332, 0x750a634a, 0xb548e172, 0x8bf08f3f,
+    0x015eae3d, 0xb7598d2e, 0xdf8052d7, 0x4c831a53, 0xf175ff79, 0x00f9b3cf, 0x34a7fc76, 0x1da76d44,
+    0xec85aa62, 0xa82ef56c, 0x76e9ff61, 0xc8ef53b4, 0x233d7e12, 0xf1143649, 0x93fafa50, 0x3abda784,
+    0x3cabea4e, 0x0d5aa073, 0x726e1941, 0x62573f72, 0xc9da5843, 0xb911bccb, 0x6b988f5a, 0x45cc1da9,
+    0x11995b06, 0xb902fa92, 0x0f4dbb27, 0xc0abe91f, 0xeec8125e, 0xe1f7d4f0, 0x165ffc00, 0x9a603e9b,
+    0xc63463e8, 0xa9f9792e, 0x75de5b3a, 0x307bbb75, 0x327dd2c7, 0xb5d843b9, 0xc2decf9a, 0x155436f0,
+    0xa11c53b0, 0x16231616, 0x26d82700, 0xe0bb1052, 0x5730c6cf, 0x7d7c978b, 0xd9af3a0f, 0xec71d6a3,
+    0xdb948ad1, 0xb2d0d7f6, 0xde291d77, 0x444f745c, 0x9f313931, 0x3f0cc120, 0x0acc5b12, 0x4b3823df,
+    0xd24ae91a, 0x542181e9, 0x2adaa160, 0xe391a211, 0xd41c69b0, 0xcfe49c9a, 0x009bc02e, 0x2ec45648,
+    0x4e4a6cc1, 0x04e118b4, 0x105c5003, 0x0085ab26, 0x0ecb1fb2, 0xebd0fe7a, 0xe19d93e6, 0xff15dcdf,
+    0xde7c87e0, 0x9c3c89fe, 0xb32824e7, 0x193f4567, 0x9358b5e4, 0x908bcc0b, 0xc9b1faeb, 0x0ce0de50,
+    0xbff013d2, 0x04c17bed, 0x5461f8d3, 0xa108a9ac, 0x94dd61c1, 0x0092e8bd, 0xf499e769, 0x7b49356f,
+    0xd54fa0c5, 0x67bbefe5, 0x606d09ab, 0x2822bb2d, 0x37093ee3, 0xbb3cdb0c, 0x6a80d51c, 0x98595832,
+    0xf964f5e1, 0xd306caac, 0x0cbbaa4f, 0x29cdc03e, 0xbfe2ce5a, 0x552d690a, 0x1edd93da, 0x96af4485,
+    0xa490e22d, 0xaeff3b04, 0x19138a60, 0xe9a57641, 0x589da843, 0x8eae1157, 0x1e4abd57, 0xf496184b,
+    0x36078739, 0x248be1e7, 0xc070068a, 0x9f21ac2e, 0xefd4623b, 0xdef5b862, 0x5fdd8bd3, 0x84c6de7f,
+    0x375949ec, 0x59fe9607, 0xb3c8a9f2, 0xbb91e0d2, 0x8897c7b6, 0x2d262825, 0x17e54bd4, 0xf1cd74e9,
+    0xaca683ec, 0x55cae708, 0xe58b2c85, 0xbc81e9a6, 0x1a2c1377, 0xb1d3ff31, 0x404ac6ac, 0x8da64dec,
+    0x6957af90, 0x050cdd5e, 0xf74e2e63, 0xaa590610, 0xf20caa0b, 0x29cb7924, 0x635e5f14, 0x5d3c2bee,
+    0xe22891c3, 0x9b83b40c, 0xbaf8d9a0, 0x100bce5e, 0x9c994aad, 0x947b5bb0, 0x3a84d876, 0xd2cda6e0,
+    0x313815e1, 0x0779183a, 0xabd6c981, 0x2716f011, 0x58f4cd4b, 0xaa3431b3, 0xcb8b393c, 0xcaf8ca00,
+    0xd40d231f, 0x6c7a1fee, 0x2079aec6, 0x1574f53c, 0x828c65a4, 0x8aee4ccd, 0xc1ba1125, 0x6c894069,
+    0x8771c82f, 0xfe2d8939, 0x3b855684, 0xf13ce086, 0x399f078c, 0xc0ba8aa1, 0x4d1f777f, 0x2dcc5ce9,
+    0x2fa53285, 0x73cb5a7f, 0xf4c88fdb, 0x0b2b58bb, 0xd3cc0a24, 0xff365c48, 0x492ae043, 0x2d2d8900,
+    0xbd8afc72, 0x20a0b811, 0x5a41eaa1, 0xd7c4a680, 0xdd58ef7d, 0x82690745, 0xddec261c, 0xf5c2cb35,
+    0x33b00f04, 0xd24267ef, 0x5d229b15, 0x6b526947, 0x5ea370fe, 0x6a986c3e, 0xcb53d395, 0x429a75dc,
+    0x26ee24c6, 0x005cd1ff, 0x5ab5bb28, 0x5e37fb1c, 0x1c5ee432, 0xbd486c95, 0xed529812, 0x10be4cb3,
+    0xb674432a, 0x09c4a834, 0xe0b6ee8f, 0x676ed0af, 0xc5b86bf9, 0x4b6252c1, 0x33a42fc7, 0x493c443f,
+    0x16c3e015, 0x19e41969, 0x02cae0cf, 0xdc3bee52, 0xbfb82642, 0x638625db, 0x7d8aa0c2, 0x0ca90acf,
+    0x8cc71a24, 0x81f42d06, 0x4a4d5c89, 0xc9890550, 0xb21d9ce5, 0x4b9de235, 0xf9bc58b3, 0xfb5b62b7,
+    0x198a56e5, 0x7ec684ff, 0x273bbed9, 0x51bc091f, 0xae50b547, 0x5294c67a, 0xdea4e5b2, 0xa2ee1b4f,
+    0x041c1a88, 0x393834d6, 0xca7f4fc5, 0x76afe627, 0x07d02b2f, 0xeb664392, 0x2dc693aa, 0x3fbee37e,
+    0x2590e23d, 0x177a061e, 0x080b7514, 0xfb457469, 0x200b508e, 0x772ec012, 0x366192c9, 0xbd573824,
+    0xf8c34377, 0x1b515626, 0x3c980ba4, 0x4e01a7e7, 0xb6f0208e, 0x1870c597, 0x03dc6964, 0xc5f11005,
+    0x49eee542, 0x89cf381e, 0x45ad3d87, 0xec66d66d, 0xf5c5f7c9, 0x94dab921, 0x5f253203, 0xbac17edd,
+    0xc14ec18a, 0x1f569df4, 0x940fccf1, 0x5a6ce82c, 0xa44e08a9, 0x5235d66c, 0x0310c92b, 0x8443fdd9,
+    0x53272048, 0x382d3039, 0x16a3855d, 0x2f9f1124, 0x84940baa, 0x662f801f, 0x3afc539f, 0xc6f9e5a5,
+    0x4ed670b6, 0x7b2d95fb, 0x7d23ac5c, 0xf24cf583, 0x83fca964, 0x5d8e6991, 0x3ee4d0f4, 0x559a0f68,
+    0x557b643a, 0x19205bb1, 0xab330f76, 0xc4c08695, 0x4cb3526f, 0x9acef1db, 0x15c86401, 0x06db7663,
+    0xfc120507, 0x3743fb47, 0x73e44574, 0x43536eb1, 0x051f6adc, 0xe9f68830, 0x8c3671dc, 0x35e6679d,
+    0xc0d75c99, 0x1784c48f, 0x6405594a, 0x9820eefe, 0x7473607b, 0x4f252001, 0x57d57fa3, 0x34ac1785,
+    0x9de695c2, 0x107ff830, 0xcd36493d, 0xef959ef0, 0x7cd1123f, 0x43a59cba, 0x61109b97, 0xc4f03341,
+    0x3ba1e26f, 0x33211939, 0x4d37b312, 0xe7df6ee4, 0xa0795f10, 0xe351db48, 0x737cd8e1, 0xee2f0fac,
+    0x8b13788e, 0x6b5cd66a, 0x878a952e, 0xebb27c10, 0x5964b431, 0x75bad40a, 0xcde397f1, 0x7128799e,
+    0x46376e7c, 0x6ca6d436, 0x4a29636f, 0x1eab758b, 0x579e6e8f, 0x86ae2961, 0xaac964c1, 0x889ec1c8,
+    0x6d85af07, 0x5c6559d1, 0x64cf67b1, 0x4543d4eb, 0xa1e5b2d1, 0x9ed1f21d, 0x645f06ae, 0x8288cc87,
+    0x76457070, 0xce416099, 0xd23d775e, 0xe5c35b62, 0x76b49bc5, 0x7d05a31e, 0x4e62d342, 0xb9fe5c5c,
+    0x4876013c, 0xc340b86f, 0x61a4dff5, 0x9b385ae8, 0x2b4ac7be, 0x0436875b, 0xc02442e6, 0xa85fac74,
+    0x1e0fa71a, 0x6b68eff5, 0xde5e2045, 0xf266ca9d, 0x506a0100, 0xeedc5a6e, 0xd8e3642e, 0x365f149c,
+    0xe2fe54f3, 0x8ddaedd4, 0x6ee8d0e9, 0xb7919676, 0xdaf934b4, 0x6c035efb, 0x8b03426f, 0x0ce07330,
+    0x267e423a, 0x59884b99, 0x7ea1476f, 0xa94fb2da, 0x4c49e734, 0x4fb3e56e, 0xf2495cba, 0x6b0da8a1,
+    0xd72ae044, 0x45f00664, 0x729cc3bc, 0x012dd99b, 0xae64d358, 0xdcf875c7, 0xfe1eddeb, 0x5eb4d53f,
+    0x81303c60, 0xda25441a, 0xea5761f5, 0xc00f13bf, 0x6e3710f9, 0xcec10040, 0xf389156d, 0xd7827e74,
+    0x75953c14, 0xcf41515f, 0x2b367a86, 0x161d607d, 0x1a9997d2, 0xa670e2b6, 0x4c848fcc, 0xb4475d65,
+    0x1061ed7d, 0xd30af2ca, 0x423d7c7f, 0x00b2b399, 0x928fadf5, 0xf954733d, 0xa0350431, 0x8e161918,
+    0x662a0e4c, 0x12cb477e, 0x1842df8a, 0xd8eb60bf, 0x4358e3fa, 0x44d11188, 0xa1f6617c, 0x48d51368,
+    0xcefd3f62, 0x503d14ae, 0xf47c170d, 0x4960bcbb, 0x1ce18620, 0x6e259a33, 0xa3789bcd, 0x50acce4a,
+    0x0a1d2686, 0x10b04a10, 0xa97c9fd5, 0x2f77f3db, 0xe5189ffa, 0x1a1ae74d, 0x687e6edb, 0x1837d93e,
+    0x2bb38303, 0xe88a11fb, 0x3c24686e, 0xa1050245, 0x2d6a6b34, 0x307ff43b, 0xfc541a46, 0x9511f26b,
+    0x2f08c848, 0xbd94846d, 0xc87c019b, 0x6c78b789, 0x7a0aeba1, 0x12dc6790, 0x6ef0f08e, 0x3d5db086,
+    0x8fe88803, 0x748e2d49, 0x55ede614, 0x0e6ee81c, 0xf850929f, 0xdc716738, 0x9b470688, 0xefd7029a,
+    0x06f4266d, 0x1e7ee5ae, 0x10955150, 0xff1463d4, 0x18f1761e, 0xcd1b3734, 0x720872ef, 0x8e281b3d,
+    0x557e1b74, 0x471f2465, 0x06919660, 0x9027cb2a, 0xa7bda729, 0x1d509800, 0x0d02a6a2, 0x1a678329,
+    0xcb0066df, 0x0ba974f5, 0xdeb6f319, 0x3918155b, 0x86ad31e5, 0x6a494140, 0xa5f67a77, 0x6670ecd5,
+    0xad8bbcbb, 0xb28b3cd3, 0x1f6d8b49, 0xce9cb473, 0x6dbe5438, 0x2c87cd22, 0x6aa48ade, 0xa5621ba2,
+    0xfc34f2cd, 0x7d0b2165, 0x84c7ac48, 0x3a15e18e, 0x827b1b49, 0x28c67b18, 0x60ba63b3, 0x81e7f881,
+    0x405ed533, 0xd154fcdf, 0xa0ccf849, 0xc9887b13, 0x29cc848a, 0xae6119c8, 0x297bc0d9, 0xb4cd128e,
+    0x00000000,
+    0xd3365b14, 0xbfd36bf6, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000356811923176489970264571492362373784095686656 */
+  { 0x00000000,
+    0x2914d822, 0xf13cb324, 0x10d5f2fa, 0x0a9ffc48, 0x63b46137, 0x24d6223c, 0xd10e3995, 0x2025cefb,
+    0x5e46ac00, 0xfdaa79e0, 0x555a27a1, 0x526001ca, 0x25b16403, 0x143fddc8, 0xa457f85e, 0x719f62b0,
+    0xd24c3213, 0xd0601204, 0xe216e711, 0x741ab21e, 0xe96dc44f, 0x10384ed8, 0x2b165b1a, 0xad8c9426,
+    0x3ec474ad, 0x5279558e, 0x080d0d78, 0x15156c3d, 0xf5d27569, 0x2d50c34d, 0x9740b51f, 0x4b7bb0d8,
+    0x44dcadd4, 0x69be3b1a, 0xb82935bd, 0xb3825be3, 0x29e199a4, 0x25987048, 0xfb3c2315, 0x121d29a2,
+    0x468ac2b4, 0xa83f0cbd, 0x11a6e2f8, 0x0ce41901, 0x2caa7ffe, 0x4c44ef63, 0x256e4ac4, 0x97472f85,
+    0xf292e984, 0x182f6167, 0x6a928dfd, 0x2537bae4, 0x4d8fddd7, 0x3b0a2967, 0xa451889d, 0xcfcdf495,
+    0xc882b6e6, 0x8baa5495, 0xa1dced43, 0x3cadba6c, 0x175ab5f4, 0xf51b7421, 0x80c38de0, 0xa6dfd95e,
+    0xcfe171e0, 0x7deb052d, 0x90d35ae3, 0xc29a8a64, 0x63ddd30d, 0xdc9a14d0, 0x970ca423, 0xf668796c,
+    0x73d404d2, 0xc327aa99, 0x0a813109, 0x7c010a1b, 0x381c64ab, 0x2c1052fe, 0x121fdb4c, 0xa3cee884,
+    0xe2061b5d, 0x311483a7, 0x02425616, 0xfadb7841, 0xf65a2e01, 0x8fea8b10, 0x27a031a3, 0xc85a0c76,
+    0x94e00cd2, 0x23748653, 0xe586d3a4, 0xa904d4f9, 0x80293baf, 0x4af22981, 0xe8eb1b83, 0x65fc1cb7,
+    0xf51dc48e, 0x4f48a2f7, 0x64faa733, 0xe141842b, 0xf33d9a28, 0x153e4c84, 0xcb591fd5, 0x43786ab0,
+    0xe7184cdd, 0xcbac8534, 0xa86b41d5, 0x6e44b132, 0x75860fab, 0x975fba4c, 0x6b8248b5, 0xfadd5b45,
+    0x9b498919, 0x0d38ded5, 0xf0f348dc, 0xcb88d720, 0x4637a5fa, 0x8c163d24, 0x43ca0f3a, 0xa35f5dfc,
+    0xc0cdfdb7, 0x3c11a0ee, 0x3c358796, 0xbc2810a5, 0x3c87759a, 0x9334b2b7, 0xfa12d853, 0x37c9408e,
+    0x458729b1, 0x5d553207, 0x74413485, 0xe8397d71, 0xb8edcad1, 0xb8a1f79c, 0xbc4985f2, 0xb5270e76,
+    0x180d1483, 0x925c493a, 0xcbaedfdd, 0x614a7868, 0x321c313d, 0x49736326, 0x205f09b8, 0xa63c5e23,
+    0x52e3ee94, 0xf2a1b6c6, 0x75df1fa2, 0x7eafecf9, 0x417b1431, 0xddf68be9, 0x2c2f7d15, 0xc6b85639,
+    0xbc9d166b, 0x26f77e66, 0x970491ff, 0x89eda003, 0x243cc8ce, 0xfb54983c, 0xd12560b6, 0x2833a232,
+    0x335695e1, 0xaeca5d4b, 0x87c07975, 0x0ce32313, 0x09084f3e, 0x4353aca8, 0x8f0d01b7, 0x35d72de9,
+    0x874941dd, 0x0793fc11, 0xba8f1fc7, 0x1fa7d948, 0xdbd57ae2, 0xd6c4b1a1, 0xe2897f88, 0xddad3574,
+    0x5121f190, 0x500f0a45, 0xb0e753c4, 0x1789e859, 0x8f22a95a, 0x8eee90a1, 0x9ec55f0b, 0x7da48a72,
+    0x8525ed18, 0x6e83bc5e, 0x8f0d866f, 0xc936a1a3, 0xe9b1230c, 0x7959ff27, 0x9f8094a8, 0x2d3cae04,
+    0x08855ca1, 0x51f08f95, 0x4826acd4, 0x17e781f7, 0xad7b5fb7, 0x1d2ab709, 0xe64970f4, 0x95519bb7,
+    0x6a7785d6, 0x05767170, 0x4434261c, 0x2d8cf581, 0xd0010f90, 0xf1b0c416, 0x63995b6c, 0x1a1c8477,
+    0xbc183675, 0x3584d408, 0xb1246d21, 0xeef4e2a8, 0x391c5e45, 0xbe8e3480, 0xfc5b26ed, 0xc7c6fde7,
+    0xc578d408, 0x627d17ad, 0x7bb0f7b9, 0x89ba31a3, 0x9a5048f1, 0x851a396d, 0x3fb8264d, 0xe9468d29,
+    0xb13f4fe5, 0x3ba57a05, 0xca7952e7, 0x7b092d18, 0x41eace7d, 0x5e051fcf, 0xaecddb3f, 0xad2344dd,
+    0xf1d5193a, 0xa93224f6, 0xd83c5f2c, 0x825d7d85, 0xab4d25e9, 0xefd352f2, 0xa6ed186d, 0xbe282a24,
+    0x39bcfdcc, 0xd76556bf, 0x82910510, 0xd1bb8888, 0x6e3a30d3, 0x0c2ef863, 0xb83b3173, 0xad2f5e14,
+    0x1c7dd7fe, 0x40e0b0ad, 0x8ba7dfc2, 0x3a880b41, 0x61ee9482, 0x070914b2, 0x04116130, 0xfa0ad6be,
+    0x1de01484, 0x9c6b7f43, 0xc16d4806, 0x915e4598, 0x0afb5b0f, 0xb854276c, 0x0bea689f, 0x1d81fade,
+    0x36f06316, 0x0c9388c8, 0xb3427e49, 0xac3038b9, 0x1a9f806b, 0xb7b39f79, 0x93f9988e, 0xce2699c7,
+    0x5aff0c34, 0xbaab9b1e, 0xec3fd512, 0x7202a1ae, 0x9dac12c3, 0x096032c0, 0xe23c38d7, 0x31cc3931,
+    0x2b4ba879, 0xe20890ab, 0xf66bd1ac, 0x9dcf7247, 0x132fd947, 0xfd7efa31, 0x67ad94ea, 0xbd4c09bd,
+    0xf2a7b93a, 0x1d8d7eab, 0x96e6976f, 0xa9511a91, 0x29375471, 0x4c13a796, 0x931f07f3, 0x37b6feb9,
+    0x3ba39d74, 0x2566f8ea, 0x8b731582, 0x540d457b, 0x80fca453, 0xab2de8ba, 0x4969fd13, 0x4c7d9b77,
+    0xbc69444c, 0x6bc85e53, 0x8ddc64fd, 0xdac7e42e, 0x05fb60ad, 0x810f548b, 0xb8ccbf03, 0x056e6795,
+    0x66b6901e, 0x81d1899c, 0x75e17481, 0x63d983f3, 0x90dbec41, 0xb60e6320, 0xd78b33d3, 0x4647ab61,
+    0x16a792da, 0x2b1e6aea, 0xdf7ea64c, 0x9cd2c25e, 0x1c3c9dd0, 0x53b912bf, 0x8f5d7503, 0xa6fef54b,
+    0x19b0a960, 0x981bd36d, 0xd0ae87df, 0xbcaf1e71, 0x152fed43, 0x3f38c93a, 0xc03c624a, 0xe7de1b2e,
+    0x9af00f7b, 0xef12f21d, 0x609cbd97, 0xc1cdb2d8, 0xb6a3682d, 0x05d7cccb, 0xebd12e52, 0x0c818ebc,
+    0xc58d4828, 0x3f04ae9b, 0x4cdd38b7, 0x88b0f3ca, 0xbc90ae65, 0xefffb191, 0xf6e30627, 0x77190887,
+    0xc32c14c0, 0x1eea80e1, 0xcd14c2fc, 0x0c6c0b11, 0xb8208097, 0xe968e4fd, 0x3e47f4d5, 0xf10e2b7f,
+    0xcd98a3b2, 0xf1f004fe, 0x31b4e5e8, 0xa915039f, 0xcacaec89, 0x8bb62742, 0xa01ec99b, 0xce604a44,
+    0x5fe4c45e, 0x24b2a8c8, 0x1af88cd3, 0x66d1343a, 0x91cf1832, 0x1c393116, 0xa70451fe, 0xd5a427cf,
+    0x76bfa8ff, 0x565a857a, 0x341b4372, 0xf7cf7392, 0xde32ae84, 0xf5a3ea54, 0xf55a29dd, 0x1b78f1a9,
+    0xc4d54abf, 0x63ac6f85, 0xb9b3d6c4, 0x524d1b7f, 0x9558e4a1, 0x5aed725a, 0xe939d7c2, 0x73aba2af,
+    0x8417f845, 0xbce1cbbd, 0xfb2e8b6d, 0x5be0045c, 0xef6dcfc4, 0x5f265cb4, 0x1f4b654c, 0x03e0fa46,
+    0x1e35aa76, 0x80a35295, 0x96124d0f, 0xd2ce4a9a, 0x1a507d75, 0x81a165bf, 0x7ca43016, 0x9aa1cc0d,
+    0x21cab304, 0x76d81990, 0xd91d7226, 0x8c86fd34, 0x1fd54874, 0x8578fd33, 0x45f0b1f9, 0xce80903a,
+    0x97bbdd2f, 0x2eec6407, 0x5d19e0b0, 0xa771eec0, 0x8f43ef25, 0x2129dbba, 0x5df33e75, 0xc1509e1a,
+    0x9a790d8e, 0x6481b393, 0xe013231e, 0xd0032cfc, 0x5a779903, 0xe01a2b44, 0x1b7d6a31, 0x305cddd1,
+    0xba95ba32, 0x168428f0, 0x870f9b86, 0xc6053120, 0x1038ada6, 0x5829f3ca, 0xd82955a7, 0x518b0fb5,
+    0x8ad919e9, 0xde002a29, 0x97a75f6a, 0xf71e60ea, 0x62ad5eb2, 0xd30b7b9c, 0xd5e872a4, 0xb94a7e35,
+    0x99e3f646, 0xf16c2180, 0x1e79f8e4, 0x5497bd59, 0xdb27e4fc, 0x66e00ef8, 0x792605dd, 0x0bd28a78,
+    0xe9db5161, 0xf51296db, 0xdf5a36eb, 0x517bd82a, 0x0c6793be, 0xa8fc7517, 0x7cbec81c, 0x356ed0d6,
+    0x69ed352d, 0x579b6e6e, 0x7bd5133b, 0x02c6d6bd, 0x96175ba6, 0x003fbd37, 0xf96a2b02, 0x344d06b6,
+    0x4c419b54, 0x7421c8d8, 0xa6a32487, 0x947c508e, 0xeb3c0e28, 0x8cbbcc8e, 0x4f27d814, 0xaf5c6dd6,
+    0xb9e8ff99, 0x2ea02520, 0xec61a7d9, 0x1d35c8d4, 0x043faa0f, 0x0cab3971, 0xbfe051b8, 0x67e45e21,
+    0xe3d8f925, 0x344ba081, 0x55ec2ee7, 0xa451a7d8, 0x821f783e, 0x1c1f7fce, 0x6f7c7eb7, 0xdb475bd5,
+    0x60553535, 0xaa41b5b9, 0x1567715b, 0x72943650, 0x80c13e30, 0x9ae467ef, 0x814019e7, 0x1e26b2b7,
+    0x0553a622, 0x84b31064, 0x5fab28a8, 0xe158c714, 0x4f6f5154, 0x726a976e, 0x7b88a52d, 0x885a94c9,
+    0x6583fb90, 0xd35acb19, 0x53033129, 0xac6353cf, 0x38d5a36c, 0x42ff1c78, 0x6ced2a99, 0x45f81132,
+    0x80934184, 0x3ce2d2a7, 0x14033fe2, 0x85b0d033, 0x2fc1ed2e, 0xc68c6632, 0x3cfac954, 0x2fa2db02,
+    0x6defb274, 0x28925a2d, 0x9e1c888e, 0x49d429fa, 0xa9377d86, 0x917b6154, 0x8246816d, 0x70409e23,
+    0x2bd8b06b, 0x30abd3cd, 0xa8f9da5e, 0xd1e65f32, 0x1d6f1b40, 0x65959c4d, 0xe0f95553, 0xd8d7a1d2,
+    0xb8cfc68b, 0x115c80a7, 0x72c7b183, 0xf4181265, 0x8ef2713b, 0x639f5fa4, 0x3e204591, 0xb75e096b,
+    0x63bbad99, 0x643518d7, 0xa3f278e5, 0x754894e0, 0xba9bea47, 0xab160daf, 0x49107455, 0x3706d856,
+    0x62a6ece3, 0x612fdbf4, 0xacfe5312, 0xf0e45ec6, 0xe0d12f67, 0x92fda429, 0xcbafbe52, 0xb0e636a2,
+    0x9fbc6070, 0xb32f6258, 0xf93329e0, 0x1a8a7c71, 0x31092e82, 0x5ab9c61b, 0xbbc23456, 0x7e038aff,
+    0xfdbe82aa, 0x370a7af5, 0x93502903, 0x3acca8c4, 0xcc70b3f2, 0x183f44bd, 0x66b94e3b, 0x9885732e,
+    0xa195bb7c, 0xb3963a25, 0x9a476eb1, 0x83f193cf, 0x2d12bd32, 0x5964c785, 0x2b6c17a0, 0xfe4096fb,
+    0x5185ef70, 0x630cd745, 0xe51e9c81, 0xdff0eaab, 0x1964ed5e, 0xa3e0257c, 0xef0336f0, 0x1872c80f,
+    0x7a5cf846, 0xec4b3926, 0x3c37b274, 0x40ed27ed, 0xeb5374ea, 0xceb13e88, 0x9a9e0737, 0xa023e49a,
+    0x20649714, 0xd9691d5d, 0xb1d25dec, 0x59210312, 0x750f7691, 0x7da3eb0a, 0xa045dcd4, 0x585c9f3a,
+    0x03049be4, 0x8a286980, 0x3480cc0c, 0x804b328f, 0x09be5a24, 0xae2d2d21, 0x04b67ab1, 0xd64271b8,
+    0xa006ed40, 0x4dec6792, 0xad5f9305, 0x9f27dc1f, 0xdd067aa0, 0x3638f4bc, 0xca97438f, 0xa353bba1,
+    0x020ac7cf, 0x04fa25af, 0x20b077eb, 0x537cf5a6, 0x984bd252, 0x3f81e128, 0x82e8593d, 0xd701a182,
+    0xf6e9ccca, 0xb7f19d55, 0xfc267b12, 0x1fdb7795, 0xf36eacfe, 0x45d60602, 0x3f48df0b, 0x5ea5e638,
+    0x4b5bc3c1, 0x0112182d, 0x3c4ffe96, 0xa49ac2dc, 0x0bb20034, 0x4ea22e00, 0x1dc04a13, 0x54fdf85e,
+    0xdc9574e2, 0xd3cd8b83, 0xe9d5056a, 0xdabab607, 0x92da4494, 0x0aae7893, 0x35cf9dcf, 0x213cc19a,
+    0xa28fbb8e, 0x5f47ed16, 0x83ce332d, 0x1f772fd7, 0x7fb45bb8, 0x199c6695, 0x79900766, 0x85888c85,
+    0xf94ca279, 0xda4ee60d, 0x6735bb2c, 0x63b07a4c, 0x8ba4eb3b, 0x3db063a6, 0x8d5aa51c, 0xe7ea533d,
+    0x415cc7bf, 0x563254d2, 0x4847079c, 0x1b9a0107, 0x24cb4645, 0xd2a8a690, 0x29acd935, 0x643ef1fd,
+    0x751fdd0b, 0x84331137, 0xa1b573e1, 0xe3c602be, 0x257e33e7, 0x6d07bdc2, 0x36cf4df1, 0xef227de0,
+    0x9eefa27a, 0x7edac242, 0x7fed4046, 0xac1cd91a, 0x8fa4edc9, 0xf95a7975, 0xae09549b, 0xc60bfce7,
+    0x745ca008, 0xff71b1e7, 0x28a169bd, 0xf0718fc4, 0x9b1291fe, 0x39bb136a, 0x5dc31680, 0xc807f167,
+    0x25b1e841, 0x1f7d8b12, 0x2dca7259, 0xbd26437d, 0x371f38f5, 0xa862bdbd, 0x07c7d718, 0x2277c47d,
+    0xeaca0b2d, 0x4babb1c4, 0x0668e312, 0x31d85165, 0xc56f4646, 0x03b66325, 0x455065cb, 0x2f5541dd,
+    0xd79d43cf, 0xc060179f, 0x397111a4, 0xaedff47f, 0xe445541e, 0x71deb6ca, 0xaec126b9, 0x51a5b267,
+    0x98977f3a, 0xf84d4cf0, 0xdff056f7, 0x85e542e9, 0x1357341c, 0xf6027d35, 0xf8e12bfd, 0xb7ede7e6,
+    0xb2eab07d, 0x82a28797, 0x577b5ff0, 0x8021a684, 0x80482b76, 0xd2318caf, 0x7682d376, 0xade7b339,
+    0xaa4ca878, 0xa9467ad3, 0x810a52f3, 0x0d978b61, 0x0014e7ac, 0x2d4b4198, 0x86f1b10f, 0xc0ea9f3a,
+    0x3a9dffe9, 0x77216f6a, 0xf9a52551, 0x2a04a3b5, 0x2987f3c2, 0xfef81c13, 0x7748e838, 0xa9a1e5de,
+    0x804c32b1, 0xc42b7be3, 0x7cda20bf, 0x45c39c82, 0x964859af, 0xb51ec6a8, 0xe4b10603, 0xca260597,
+    0x87816ebd, 0x65cec8a7, 0x0ad76e14, 0x3b55355d, 0xdd961d29, 0xd93afcaf, 0xe94e641d, 0xe9d9d727,
+    0xf43fc95c, 0x1d02cfde, 0x4e55d699, 0xbf9a5eb8, 0x2d26c42e, 0xe92802aa, 0x89d89a82, 0xb0f75eee,
+    0xe1c36cb2, 0x9159920e, 0xf8988d68, 0x9c2a3e85, 0xfb9fad02, 0xa2ffd5fb, 0x2957fd1b, 0xdd491b22,
+    0x62d4a5b1, 0xa76e9f74, 0x488cd468, 0x0683791a, 0xa703a5ef, 0x37e838b0, 0x4be08aca, 0xf5d99e13,
+    0xaea61380, 0xbc27be79, 0x22a034c4, 0xf9aec732, 0x173cb5ba, 0xa964dd14, 0x1e15ea87, 0x7f90bfb4,
+    0x91073227, 0x5d00e671, 0x8e7ce83e, 0x29122f10, 0x095ead52, 0x7208d0a9, 0x5c6824c7, 0xb424bbcd,
+    0xfd0be6b4, 0xccf4e7c9, 0xf29a331b, 0xafaee1c3, 0xaafd6ec8, 0x8684b8ff, 0xd1afcde4, 0xff7b2588,
+    0x4de65101, 0xa4c67ece, 0xf2585822, 0x6f6c15c4, 0x98f87489, 0x9318b9b6, 0x1260d38a, 0xee0fc6f1,
+    0xe51178c6, 0xcdf7f535, 0x1acb1c80, 0xb1df1e0a, 0x12fe0964, 0x3aca7ab5, 0x4cb30ecb, 0x1bf03c30,
+    0xdd2c2514, 0x27ad0012, 0xb0f9e338, 0x0cbe3033, 0xd2d27ebf, 0x05e04758, 0x3a6bb7ad, 0xa5b584fa,
+    0xc2cf22af, 0xc53c9419, 0x255a6f3b, 0xd4486fb0, 0x1a217a4f, 0x71a17f25, 0x325af598, 0x17851546,
+    0x3353587b, 0xd717f871, 0x04f48120, 0xc4c75609, 0x554cf0a0, 0xd29c277f, 0x35086165, 0x72e5e3f8,
+    0x8630f5dd, 0x3590c1ac, 0x4b0bcf2b, 0x332c49f5, 0xaf4a2121, 0x588b10e1, 0xde363656, 0xf13e8f6d,
+    0xc2d20b33, 0xa5998e9e, 0x4f974973, 0xf02600d7, 0xb62f999b, 0x332a4cd5, 0x13ac817b, 0xc7c8f233,
+    0x0c38fb9d, 0xa3621f54, 0xa68491b0, 0x69d697d5, 0x11f983e4, 0x4391bead, 0xc89b64a7, 0x61736c7b,
+    0x8b8b56fb, 0xa9b68df1, 0xe41cc5b5, 0xea7cac57, 0x46b2a29d, 0xb77f0f30, 0xdf83b1c4, 0x6d030fee,
+    0x7c011ba5, 0xe3e97628, 0x83409d4d, 0x8c9dcc75, 0x194bc4dc, 0x3efdd535, 0x5378726a, 0xfe898cb8,
+    0xee55517a, 0x2afee08a, 0xa563a9c4, 0xbb6ab519, 0xc4052225, 0x66798a2f, 0xe2957bb7, 0xe5ee2fa5,
+    0x722e1236, 0x85b8f0af, 0x1587c017, 0xd8ca535b, 0xec2eded2, 0xc6042e73, 0x9a185e4e, 0x3a60188b,
+    0x39552a12, 0xd1ffbeba, 0xa415a9b4, 0x633203e2, 0xb18be774, 0xfb9f89df, 0x0866a37a, 0x25277ac5,
+    0x0c4644bf, 0x864e5e31, 0xb7ce4771, 0x0e269055, 0x98e4d48c, 0x440d0cf4, 0x939fc0ab, 0x68fb062c,
+    0x3abc1482, 0x4b2986ff, 0xa8d8894e, 0xbf1e5211, 0x0ce46a4b, 0xdbe2cfbc, 0xbce8c82c, 0xaa6a4a7f,
+    0x9992b080, 0x140e8364, 0x42584b17, 0x9c4d818c, 0xa0497e0c, 0x17b00649, 0x1da46af5, 0xaca5f198,
+    0x5ee5eeb2, 0x551da21b, 0xb67a4195, 0x63630bc1, 0xbd2d6881, 0x294a10ca, 0xd6f7cc39, 0x28259ef5,
+    0xe03ab8a4, 0xb85f31e1, 0x1d046094, 0x0d7a24c6, 0xd8187be5, 0x40bf8ec8, 0x1c26b5f5, 0xf42a4241,
+    0xe286abb9, 0xcbfe965a, 0xb7ad9f3a, 0xa2613e74, 0xfd277fe0, 0x30f36b0e, 0x5b451a78, 0xd17edfec,
+    0x8625b60a, 0x2fbf1427, 0x8de448dd, 0xc75a4ebf, 0x1badad2e, 0x85f5039a, 0xfd4221fc, 0x659690ed,
+    0x1b9e6551, 0xcd23bd6c, 0xc8cea104, 0xa38de032, 0x225f4638, 0xaaac2a70, 0xe8d92cac, 0xb90d1cf2,
+    0x63077711, 0x553b7861, 0xdf83318d, 0x8930fdcf, 0x93a84313, 0x0efb4510, 0xe3950298, 0xd723c0a1,
+    0x00000000,
+    0x699b2d89, 0xdfe9b5fb, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000178405961588244985132285746181186892047843328 */
+  { 0x00000000,
+    0x52eec7d6, 0xc7cbc962, 0x457afbb7, 0x2a9a51f5, 0xeb7431ef, 0x77322c34, 0xa181cfed, 0x03983ba4,
+    0x85f2517a, 0x55f40d46, 0xe3cf2b51, 0x1b5197a4, 0xd988e706, 0x0e071eeb, 0xc5b5c0de, 0xc767edef,
+    0x8d36d77b, 0xb20ea251, 0x9e28d6b5, 0x5bd563bb, 0x68dcb010, 0x8977b35c, 0x2bcbe797, 0x8132bee0,
+    0x43744e5d, 0x74282efb, 0x60d4e40a, 0xd30f3a54, 0x4f46b2ff, 0x73f31204, 0x91db3218, 0x6c416ed2,
+    0x81559a62, 0x8f4aeff7, 0x0db6a434, 0xae00ca1d, 0x2deb26a2, 0xa72b2047, 0xf8ba10c1, 0x886fb401,
+    0x14dc8918, 0x6ba76727, 0x6c4ce156, 0x5b990e2e, 0x4c2c3155, 0x99248927, 0x4493bc66, 0x70c7c8c4,
+    0x9a4a2d99, 0x5026f275, 0x5d9bde6b, 0xa020cec7, 0xcb38f6a9, 0xf2eefcda, 0x2856c751, 0xb606a0bf,
+    0x0b82e894, 0x338a7928, 0x458b4340, 0xdfcd9731, 0xac456e23, 0xfd838bd2, 0xf18b3a39, 0x1adeb5be,
+    0xe2d38050, 0xaa7cf11e, 0xfb726d34, 0xe012634d, 0x0e9e685e, 0x5a73aff4, 0x8a23257c, 0x7b96bb58,
+    0x8219ee4d, 0xeca37f8b, 0x9163f0ce, 0xc0cc534c, 0xc7020b39, 0xe6d7f762, 0x17939071, 0x318ad5b7,
+    0x30a1d026, 0x9246ebb4, 0x8d261923, 0xc1e1fd88, 0xc33b274d, 0x100eb4bf, 0xe9e258df, 0x3a348cb5,
+    0x5fc1a530, 0x153d00f2, 0x389ee29c, 0x81dfd611, 0xa93f5084, 0xb6995dfd, 0x2dbef75c, 0x43847d1a,
+    0x16e17774, 0x85a96c21, 0xb6c0013a, 0x92e2fa84, 0x9e1fb694, 0x71c86598, 0xe1ca7cf9, 0xdf3caf88,
+    0xef941731, 0xe62fb312, 0x1efe2681, 0x52705381, 0x5ecbee2a, 0x94ce4c37, 0x67d82af3, 0x67a22296,
+    0xe7b54481, 0xb5460a04, 0x3a610cf6, 0x4dc2c369, 0x4a8065dd, 0x6ee883cb, 0x73972282, 0x72d0fb0e,
+    0xb9a745f5, 0x012d7cd6, 0x2f410b13, 0xebec9c3e, 0xfe6240e5, 0x26721cf2, 0xcd841571, 0x10712543,
+    0x823b92d1, 0x0296cb96, 0xf5b65c3b, 0x6bfb67fc, 0x4b551e85, 0x60c6685f, 0xb0c5d175, 0x388ec3c8,
+    0x73cdbdde, 0x2a309c67, 0x51e0fecb, 0x4eb8469b, 0xdb995a38, 0xc30e74f8, 0xa4812099, 0xa22f578c,
+    0xd93fd2c3, 0x89214383, 0x00ed19ee, 0xc11bc728, 0x89dbac2c, 0xdbc1464a, 0xeae94e2d, 0xa88fe982,
+    0xa1ae7bdc, 0x8054c07c, 0x602cf451, 0x4322444c, 0x94cb2647, 0x6cba64ea, 0x1a697c79, 0x00575fb6,
+    0x91dadaa6, 0x2792f097, 0x49d2a013, 0x1741d969, 0x7c6ed3d1, 0x52e754e9, 0x54d72b59, 0xdb1575fc,
+    0xc0bd6fee, 0x92862eed, 0x391c8692, 0xa73e819f, 0x7c026973, 0x8b453e07, 0xe9852d2a, 0x8e7f12e9,
+    0x74d9275f, 0x350f5042, 0xfb4e426e, 0x18afebf2, 0x760c7197, 0xb2c0c208, 0x313cb732, 0x6181b608,
+    0xbe90a5e8, 0x2f40f0d8, 0xb73f59c5, 0x1b32cc57, 0x406b4a67, 0x42b7db85, 0x23036227, 0x714eb552,
+    0x1a34ad25, 0x758c383a, 0x5bdd79c7, 0x6527c196, 0x6e3b9e94, 0xe6f75221, 0x8a6cf9a6, 0x6d9536a1,
+    0xc1acc835, 0x948a5a2b, 0x377d3a89, 0x4edeb8f1, 0x0353967d, 0x21d10182, 0xfe4a7aa3, 0x76cefff7,
+    0x40cc5d65, 0x36625681, 0xe33b7dd9, 0xdbb2825c, 0xc99966d9, 0x486b2f3f, 0x9ca1fedd, 0xc7e92434,
+    0xa80b2eeb, 0x7fc5af9b, 0x57a2476c, 0xb4de28ff, 0xc1e63fcf, 0x0a168fad, 0xf7789b7f, 0xa390781b,
+    0xba107729, 0xe5ebed34, 0xe18d5de7, 0x3c96d68b, 0xb8d9d331, 0x2797026a, 0x98c10423, 0xbee1de15,
+    0x8fa49134, 0xc6a1023b, 0x287d5fb0, 0x2d985979, 0x0e0efc23, 0xde0d9478, 0x10cb2351, 0x8aadefc6,
+    0x55dc980a, 0xcb519fd2, 0x4f2139c1, 0x62f9c99a, 0xdc3539d2, 0x82235b2d, 0x8d7e1e23, 0x3ec1209a,
+    0xee365ce2, 0x93935f3a, 0x9383d953, 0x01ae9037, 0x4db0b265, 0x6cd03ac3, 0x7b44f794, 0x46941a3d,
+    0x90bf2664, 0x4213c099, 0x14eab6f4, 0x803bd451, 0x1f53da96, 0xe06feb7a, 0x388a5f9a, 0xa057c952,
+    0x432f14d1, 0x16626793, 0xe39cc847, 0xd759cd43, 0x154fb730, 0x4edb81de, 0xdfdbb628, 0x3048bd89,
+    0xefe09e13, 0x1fdc66da, 0xd4501002, 0xeb2dd29a, 0x7f913b05, 0x7bd2767f, 0x6ea2377c, 0x829e0074,
+    0x2b60388b, 0xd415754a, 0x07b7a3b4, 0x3b996de5, 0x85f7b4d6, 0x59dad455, 0x8a2dcd0c, 0x27b5570d,
+    0xdd508946, 0xba149223, 0x67d45d61, 0x74287555, 0x8d95c3af, 0x0411523f, 0x88505507, 0xf7f5591d,
+    0x19fad0b9, 0x98fa41c0, 0x0e7ade4b, 0x2c852cb6, 0x54da0cf7, 0x73190694, 0xf1e7296f, 0xe639764d,
+    0x523ab687, 0x8af39828, 0xebd6ac2b, 0x821f2920, 0x430e120f, 0x56217124, 0xb2af787a, 0x761ae509,
+    0x6b4ffdd8, 0x46d014b3, 0x22a2c947, 0x49e44ce7, 0x8afbf2be, 0xfbc8634c, 0x7ec807ed, 0xd410ac05,
+    0x9af40b28, 0x4918e1a6, 0xbc3d90b5, 0xe6fd6160, 0x913f67e3, 0xcba95eb6, 0xf5e9f7dc, 0xc6b76380,
+    0x7a191cae, 0x919a07b3, 0x305ae1df, 0x47cf6d7b, 0xd6cab2f5, 0x13fbe681, 0x7e2034eb, 0x291e1dfc,
+    0x23fd1c10, 0xb947b12e, 0x13e5b56b, 0x56f4d4db, 0xe34509ae, 0x20c9e486, 0x3c55e3b2, 0xe01f83ba,
+    0xc41c8898, 0xefac02f0, 0x867c2081, 0x5c2b49b7, 0x3cc0eec2, 0x74ccf612, 0x957fea61, 0x1acc6f2d,
+    0xa902c1e1, 0xa9c3e3a5, 0xbe86c1eb, 0xef5edd27, 0x4133c55f, 0xf50012b1, 0xc002e098, 0x871206e6,
+    0xfe099ff2, 0x3cbf34ad, 0x1bbef6b1, 0xc13af53c, 0x4fd00d6d, 0x65096c65, 0x9652c585, 0xd9a8a2f9,
+    0x3d883c28, 0x81a2822b, 0x5a389955, 0x383cde97, 0xeeb10f4b, 0xe630a7e1, 0xde14dcab, 0x7486c63d,
+    0xc7cb5eba, 0x79d16d21, 0x662c1faa, 0xec4e9ef6, 0x744e57e1, 0xca88e549, 0xe188070f, 0x38738fbe,
+    0x59af7dca, 0x600a6f62, 0xd554fd0e, 0xdb0005f4, 0x312fd309, 0x4bfb3427, 0x7bccd741, 0x08ee303a,
+    0x70bca161, 0xa8bb60c9, 0x59ca2a2c, 0xde64491e, 0x6b38268c, 0x5fcde58e, 0x6ccea4f6, 0x9a2002b5,
+    0x939444fc, 0x2175c2e0, 0x63410105, 0x28f5d04d, 0xcc90faa2, 0x455ad55e, 0x69e6d9be, 0x41e320ab,
+    0x44950e43, 0x2c15aea8, 0xc07eaf97, 0x11aae60d, 0xcc118ec6, 0xed13c56a, 0x4de1e5de, 0x56cda06f,
+    0xf9ff037e, 0x0eba9fb1, 0x9cddcfb8, 0xa4972fd1, 0x1243a194, 0x150083a7, 0x79b99066, 0x30bd6c1b,
+    0x2577e19a, 0x68803144, 0x289f43cd, 0x0e3becfb, 0x5ae55534, 0xc59e6963, 0x10a1c49c, 0xc4b85cc7,
+    0xebdbd7c9, 0x68fbe78e, 0x90d85657, 0xd21dfec5, 0xb01a30b8, 0x6976f3aa, 0x58ca1580, 0xdbc98413,
+    0x41016b2c, 0xa70d2cef, 0xda94eacd, 0x068912a0, 0x82aabf71, 0xeef95f9d, 0xbd52b66e, 0x0e847db7,
+    0xf7401577, 0x5699be0d, 0x4085d0da, 0x0a5ec88a, 0xf8a921c7, 0x977fcafd, 0x8ff6c796, 0x2065e6fe,
+    0x21da7ad8, 0x747c9db8, 0x1f8280e8, 0x6dd46c13, 0xc0e8ef52, 0xeb039809, 0x17e44139, 0x472af3c0,
+    0x739fd1e4, 0x6b488435, 0xf1287f12, 0x40b1e413, 0xd240fef3, 0xf6fa49ac, 0x452e8fed, 0x45d9527e,
+    0x6c30d92a, 0x0743864f, 0x56ea80fb, 0xccef4a9c, 0x485d97dc, 0x32d0c500, 0x7350d1a6, 0x217e6c30,
+    0x2363dfca, 0xdc8711a5, 0x5b9400a5, 0xc100235c, 0x604f9d0b, 0xe28366f0, 0xa4f81302, 0x96743864,
+    0x8db105a6, 0xdae8cba7, 0x69fe085b, 0x6aed44a5, 0x7fa5c321, 0xd2cbba84, 0xe6b69a3a, 0x929e132d,
+    0x55a44aec, 0x8875e740, 0xcfa5c657, 0x41b912dc, 0x2f094b42, 0xfd11b020, 0x1543036b, 0xad1d104c,
+    0xd5209162, 0x0a595f81, 0x13732228, 0x7244dbd7, 0x46bc2662, 0x3ab4dc1e, 0x3d4ba754, 0x8c472b69,
+    0x0841cfc5, 0xd7b4a3dc, 0x28038cf1, 0xa000a5df, 0x180c4e58, 0xd3c5fce4, 0x53afa5bc, 0x3a95eec2,
+    0xa9232237, 0xbc681c89, 0x4b2b1c29, 0x6707ea13, 0x0ccd2c35, 0x291e3934, 0x3866f86c, 0xd2f8f663,
+    0x4bdc8c65, 0x59b09a7e, 0x58cc5bc7, 0x287a251f, 0x7c4f059c, 0xf6b4ffac, 0x0bb6bf1d, 0xc5b22c75,
+    0xafcf8a9c, 0x28f5eb9d, 0xe6dc24ef, 0xa2fc95a7, 0xf69db3f4, 0xc46837a3, 0x9f9158f5, 0xc72a93fc,
+    0x23b08bad, 0xaca8e2ca, 0xa02c4fa6, 0x1e102bfd, 0xbfc22783, 0xb49545aa, 0xc41ef680, 0x5686e2ac,
+    0xcdd35743, 0x20a33149, 0xd898a225, 0xf7999825, 0x5b147c0e, 0xdfd437d6, 0xdb8454a6, 0xef651109,
+    0x2efa5d2c, 0xd65e567c, 0x2c12fcc5, 0x134c6d26, 0x9c3bb08d, 0xc535386c, 0x31d44f44, 0x33a6777b,
+    0x6959e4b8, 0x0549c09f, 0xe0018f5a, 0x120a8280, 0xbf90e61b, 0xa7ff9347, 0x217d1ff1, 0x8932c0c1,
+    0x95c34fde, 0xc40fb5c7, 0xd7b9a978, 0x827729e9, 0x84dc3143, 0x1ceac584, 0x2e90c4bf, 0x3f1a79f6,
+    0x0d333bb6, 0xb2a5a84d, 0xa45b882c, 0x79bad391, 0xc3a31cf2, 0x4bfe2a0d, 0xe8505856, 0xaf8c4c09,
+    0x28d31126, 0x72bbd477, 0x97fdef6a, 0x349b0b53, 0x810a67f7, 0x0474b0cb, 0xabc4e396, 0x1bb5a10f,
+    0xd06dfe79, 0x07297d63, 0x5d1bdbf1, 0xaefe2665, 0x45294987, 0xcd2fdd20, 0x00912fbe, 0x8ff94c54,
+    0x6e9a2ed4, 0x0d8732dc, 0x0a6f2e5b, 0xfb912398, 0x6d2017b5, 0xa1e9ac3d, 0x1462eb60, 0xcceda1fc,
+    0x5af4ed3c, 0xc83466b9, 0x55f9e180, 0x3d8f666a, 0x5c41811c, 0xdfa5903d, 0x858e6566, 0x4aa87909,
+    0x44c27e29, 0x26d19718, 0x9443810f, 0x5fff7033, 0xcc8ee12a, 0xe71c34ba, 0x649ffe3e, 0xa11ee5a0,
+    0x0bc189a3, 0xc6e52870, 0x74338f0f, 0xf137db0c, 0x4769b689, 0xf5061b2d, 0x9819cb1a, 0x590e2ee4,
+    0x1bc5109d, 0x4fb77c2a, 0xcd70a0ae, 0x0b7cda5b, 0x757ecaab, 0xcf5e70bf, 0x9d20de64, 0x877f68e7,
+    0x3746bf45, 0x32d53063, 0x6ec2dddd, 0xf3c921b8, 0x725b2fbc, 0x83bec8f1, 0xcf1cf5e3, 0xa3aa96cc,
+    0xbeeade42, 0x1bbb5f2c, 0xbeec2f43, 0x6b52bda8, 0xeb241f9a, 0x90ec64bd, 0xc329efd9, 0xea2cde17,
+    0x2d7477c6, 0xa0bb2a77, 0x4d9ce3c2, 0x8d3f31bf, 0xab3e4dee, 0x7afbc150, 0x6cd085c4, 0x25bc6d3e,
+    0x666e0821, 0x0d83573c, 0xa0e81236, 0xd51c1de5, 0xc4bbe32a, 0x5320c313, 0x9fde0ef4, 0x38ba99ef,
+    0xd3aa3070, 0xaac96e85, 0xcc2885ec, 0x786c3744, 0xd04d9587, 0x415349ae, 0x7595e354, 0x70f51ad2,
+    0x639b5211, 0x19ddaba0, 0x1deae5ef, 0xd1fc5600, 0x23415b64, 0x95864150, 0x5a4e4853, 0xb985f71b,
+    0xc431af91, 0x2e5cb571, 0xcb6a4dba, 0xd9355035, 0x232b00ba, 0xc3d520b3, 0x8d8c0a1b, 0x0a872097,
+    0xe12b7f71, 0xe6d851d9, 0x1f2af76b, 0x5010c8a2, 0x166e64c9, 0xd9d9c3ad, 0x396079e9, 0x74438442,
+    0xce3f088b, 0x0c3ede11, 0x3c731242, 0x52c26b32, 0xa0ac9127, 0xdb51fc9d, 0x1218ff59, 0x05dac305,
+    0x053dbae0, 0xfa73be56, 0x98cc945b, 0xb23d7c57, 0x0f552620, 0x973e4fe6, 0x706592e7, 0xa65fd20e,
+    0x39899176, 0x39c23c8c, 0xb2f80070, 0xac43fe20, 0xd2569f7b, 0x01786331, 0x71a2812d, 0x00ab76ae,
+    0x1cddce03, 0xfa5b145e, 0x6ccf7a77, 0xc3c4bc99, 0x9fce405a, 0xf85ec8dd, 0xcb209a24, 0x5e152d7d,
+    0x7faa4f67, 0xa78e6819, 0x8ee8fb17, 0xc1945f63, 0x8d859361, 0xac39b1f9, 0x20d32c85, 0x97995c3f,
+    0xd92d7349, 0x4f3e925b, 0xc4e0fc80, 0x4c9c16ff, 0xea69bf33, 0x21e5592e, 0x7a8b1330, 0x4d732cc1,
+    0x91363ded, 0xab4c4527, 0xae58869e, 0xbc95af2e, 0xf4711546, 0xff2c056f, 0x4bc27c7b, 0x93475d66,
+    0x9759f52a, 0xc7e80930, 0x4daed22c, 0x80d85216, 0xe0ae3bd4, 0x1bcb3941, 0x362f8653, 0x1c4d3aca,
+    0x2de06d69, 0xf7319c73, 0x750cb7d1, 0x363c35e0, 0x677645aa, 0xec8799fe, 0xf204e038, 0xd0783652,
+    0x731164f3, 0xc777f9d3, 0xee92555a, 0xf0f1dbea, 0xd97d1888, 0x1856cc68, 0x9c0587b9, 0xe34577b0,
+    0x8638a612, 0x54cb9cf0, 0x37a0a596, 0x4e9db0a7, 0x1343340f, 0x47298821, 0x2acb136a, 0x93676973,
+    0x3f1b86f0, 0x9cbefb2d, 0x04adafaa, 0xf75c476c, 0x83d68d83, 0x00f3645a, 0x5dd34bb5, 0xa2043567,
+    0x7a2dc46a, 0x993415af, 0x90574fb8, 0xbdda7fcd, 0xcaaf8ab1, 0x3ee55f51, 0x3b09b697, 0x538a9115,
+    0x69f3bd19, 0x705010a1, 0x2d0438e1, 0x1eb45966, 0x4eb9b01c, 0xe109f899, 0x21fdfe2f, 0xe146b906,
+    0xf79a1200, 0xecd73e24, 0xfd4bbe14, 0xa9cc3112, 0xcf253ec3, 0x49c114f0, 0xe3e5360a, 0xb76d39d8,
+    0x06d055ab, 0xdeb08fd0, 0x4a591be7, 0x67be6b15, 0x1903fa9a, 0xa00cd43c, 0x6296f1b3, 0xa623edbf,
+    0x2c4dcf2f, 0xf864fd59, 0xb769fb13, 0x6edea237, 0xd6bd49af, 0x47c5c637, 0xc7a93861, 0xc7180135,
+    0x8dda17e1, 0xb1824c05, 0x85e17623, 0x3729b160, 0x015c3aae, 0xbc57ed48, 0xaf99b430, 0x58c7a344,
+    0x430a608f, 0x2982f712, 0xbcdd2801, 0xb7d2682d, 0xe626cfd1, 0xbf363e06, 0x8f4ebb19, 0x4f469509,
+    0x1283d946, 0x17832cd7, 0x426ad0c3, 0xbfe03289, 0x2ce9446d, 0x6fc2db2f, 0x7a4affb3, 0xe310b27d,
+    0x39c8b0c8, 0xfcf6e70b, 0x717cf1c9, 0x4f148f08, 0x46c5ec2f, 0x2aefa27d, 0x2d913c57, 0x2b71b496,
+    0x14a21d6e, 0xc491855f, 0x2a43a271, 0x54a344b6, 0xaa097077, 0x5e0ca846, 0x9d97d53d, 0x9eca9723,
+    0xdba62435, 0x8cf056dd, 0x7e5f9585, 0x63d81f61, 0xa55f4df6, 0xb07bdce8, 0x372007c5, 0x6b2901d5,
+    0xff5e283b, 0x73d95167, 0x3adec48a, 0x518194f0, 0x8ebe355b, 0x648d03d8, 0x2b9d5f7d, 0xd6ab6d14,
+    0xd71ce0b3, 0xecb02d00, 0x137efb00, 0x2b20060a, 0x57453cc0, 0xc14b1b07, 0xff6994d7, 0x8cfed53c,
+    0x647ff685, 0xc8bbd436, 0xf93b8e21, 0x04cf5611, 0x799d5b26, 0x4151f1f2, 0xbaf60405, 0xc6676111,
+    0x17d37ec7, 0x49ee9423, 0x596aeeae, 0x18ddc20e, 0xfd934c6b, 0x64bf6bd3, 0xc2164fdb, 0x4985fc04,
+    0xe3ccd610, 0xfd8386d9, 0x23c06437, 0xd1d87884, 0x087838dc, 0x8898a74b, 0x2988a32d, 0x7fc70455,
+    0x0e5d70af, 0xd401298f, 0x41be60f5, 0x86392a84, 0xa357d9b2, 0x00f9c4c8, 0xc42032e9, 0xd1283b5e,
+    0x409b6cc1, 0xc004726b, 0x68b21786, 0xfff5d385, 0xd975309c, 0x9eeda814, 0xe066b424, 0x144d980c,
+    0xfb6f664f, 0x842d0fd0, 0xa3ef013c, 0x68843ea7, 0x2057bbb9, 0xb200e4b9, 0xc745dfb1, 0x81ec93a5,
+    0x51aaa4d0, 0xb06ba2c0, 0x06836422, 0xedcdf0db, 0x6578583e, 0xa7174eeb, 0x790e16ce, 0x0f448a2b,
+    0x0a20ed6b, 0x665462a8, 0x4a700ac2, 0xc2136a5d, 0xe0bdd4b7, 0x91ecd52f, 0x4122a23f, 0x24876614,
+    0x4f40bf86, 0x9c071cbf, 0x9cc15426, 0x83445cd6, 0x03213356, 0xfd4b82b8, 0x00060d26, 0x3333a269,
+    0xc903924f, 0x5031d769, 0xfa12356c, 0x2ea3efa5, 0xa604696c, 0x255c209b, 0xaec77b3a, 0xf6b88322,
+    0x0f6631a9, 0x81b6bf70, 0xc4e26bfe, 0x77fba353, 0xee7d28d7, 0x0fee73ea, 0xc2ed3de5, 0x5a1c450b,
+    0xa2ca0e7f, 0x4bbb7735, 0x11f4135c, 0xa2e4e5b0, 0x19501746, 0xd512b12e, 0xf43a0fa1, 0xa5f205d2,
+    0x00000000,
+    0xb4cd96c4, 0x6ff4dafd, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000089202980794122492566142873090593446023921664 */
+  { 0x00000000,
+    0x2dfdfbcd, 0x332614e1, 0x6c233d4a, 0x41636187, 0x2a2b584e, 0xf731b52f, 0x63d6f5fb, 0x3c6292dc,
+    0xad1129e1, 0x12ef933b, 0xc8588401, 0x18132311, 0x80ce11f6, 0x72f14805, 0x86474ed1, 0x87af165d,
+    0x098ffe3d, 0xc2424898, 0xd4937c43, 0xd8c9ddff, 0x56070681, 0x9fdf6af5, 0xe7d76bc0, 0x4cd7b117,
+    0x1ab927b4, 0x50139bf5, 0xfed19d44, 0x63876bea, 0xedfbc9e0, 0xf3248593, 0x806f02be, 0x0058596d,
+    0xb9f806a7, 0x8bac5671, 0xb0556476, 0x832d5737, 0xc0d4e5a9, 0xa1b5fb0c, 0x21c3ca5d, 0x68f46c10,
+    0x7ea6ca3a, 0x8e48f753, 0x9c3bfcf2, 0xb2c5a44c, 0x8200df68, 0x149e23f9, 0x896b2143, 0x7de788b8,
+    0x8a1a9252, 0x2a509828, 0x0878f362, 0x80be3a6c, 0x93979ceb, 0x45f501da, 0xcce4053d, 0xc540b63a,
+    0x31de7fe3, 0x35f1c936, 0x426667c8, 0x05009e51, 0x42137e4c, 0xdd6d2af6, 0xd1ef31b7, 0x7e122e78,
+    0x30e8220f, 0xb28b3ea3, 0x21bb27a1, 0xfca1a7d6, 0x8883a042, 0x6b61415a, 0xf410da16, 0x64e791e6,
+    0xc0acbf77, 0x2f66914a, 0x192d0fc5, 0x081ef5cf, 0x57661f25, 0x3fc53a96, 0xb7cbfc86, 0x6e3dc88e,
+    0x0109a136, 0xaf1b2d08, 0x663d87a0, 0xa1570590, 0x49eb1776, 0xa3788652, 0x3f6b7430, 0x202efc10,
+    0x2eef7712, 0xb75fe695, 0x61edae74, 0x5415317d, 0x1e461bf9, 0xf431152e, 0x7ff62af2, 0xd533b18d,
+    0xb2448c7e, 0xcf7722f2, 0xf31d4093, 0x7b9d8afa, 0x55273f71, 0xb87eb92d, 0x7cf204f7, 0xb9113f65,
+    0x77899853, 0x3815c98f, 0x4cf19378, 0xc7ff094a, 0xf5530a0a, 0x9b7dbb13, 0x3c1eaf10, 0x6cba2dfd,
+    0xa2c2e080, 0x90eb2841, 0x5934ea9b, 0x38f92b4a, 0xb31e696e, 0xa9932f2a, 0xd41b9ccf, 0x7ffbcc27,
+    0xcca27b5f, 0x3b4a2bd8, 0x2fab5996, 0x21451ebd, 0x51def65a, 0xfa5bb3e1, 0xec8daff8, 0xff45be37,
+    0x02d9aff2, 0x03f33395, 0x15582271, 0x3882a201, 0x38bfbb44, 0xa8b6a9cb, 0xea238b74, 0xc37bf18e,
+    0x4789a75f, 0x332de8a1, 0xc5284dec, 0x671d470b, 0x2977b4dd, 0x318cee7a, 0xc7ae25d9, 0x156660e8,
+    0x1615cd37, 0x6e5789c3, 0x05af9219, 0xa6cba507, 0xfebbe51b, 0x2aa04579, 0xa2b4e6c3, 0x4dd9a87d,
+    0xa3906910, 0x0a0ccc85, 0xc9c8abea, 0x2f66c840, 0xef636331, 0x05348509, 0x3c71846a, 0x4f9a5b38,
+    0xf3bb7a33, 0xf624375e, 0x62fa109a, 0x1514c5c6, 0x0fafc315, 0x5ecb1195, 0x1f136d41, 0x4d829c3e,
+    0x015a40bb, 0xc60b8094, 0x9cbd0cc9, 0x873bd9be, 0x601678ab, 0xf6238d7a, 0xe8509ac2, 0x520a452e,
+    0x5bb131cd, 0xe956e480, 0x7f403895, 0xec9c4343, 0xb625e184, 0xea36c5a3, 0xa4452759, 0xe979a5a8,
+    0x7e39ac69, 0xf8d1b2b8, 0x190ea46f, 0xc743b306, 0xb897662f, 0xe42d021d, 0x51ebc134, 0x2b761e56,
+    0x79ee8601, 0xa260c265, 0xeb8114c3, 0xe182b7c9, 0xd75c6aaa, 0x43f89a47, 0x612a9a33, 0x39e0f809,
+    0x6b3d1db0, 0xccc2a64e, 0x101866f4, 0x82d7c568, 0xac0072f7, 0xa18ab25b, 0xdc5a5828, 0x714c4cc9,
+    0x71a67dd8, 0x14daeee8, 0x37f99ad4, 0x9ef1c768, 0x45cd328e, 0x86b29325, 0x3747e9d2, 0x561155c0,
+    0xa2b21e3d, 0x52038b27, 0x9bd8a212, 0x8a698711, 0x621ad674, 0x4ec129f2, 0xea740882, 0xb1fc4595,
+    0x1f608d15, 0x3661d801, 0xa2302010, 0x829d02ea, 0xd7011546, 0xb2d5cdeb, 0x63f3290b, 0xb95d9d12,
+    0xb8b1aa90, 0x89fc5a58, 0x661c3aa3, 0x6d3354a6, 0x1ef69057, 0x30d499c8, 0x75587fe6, 0x940b173e,
+    0x576689ac, 0xb1134ab3, 0x4e96c99b, 0xda1302ff, 0xbf086330, 0x41030a3e, 0xfffc4c33, 0xc9443d28,
+    0x4101a34a, 0x54a2c74c, 0xa005b16a, 0xa7d89d45, 0x53033ac2, 0xb55d0ab6, 0x4e0fa19c, 0xe2eaf3e4,
+    0x450bfc67, 0x40505cac, 0x8920b306, 0x4673a3ae, 0x1fdc3c32, 0xe177f791, 0xaf6b88d7, 0x5728534a,
+    0xb6ec3cba, 0x269c3445, 0x569c6f6b, 0x0a8c2be3, 0x2bedf03b, 0xfbd95346, 0xc6921470, 0x987f9489,
+    0x5ec0f032, 0xba7348aa, 0x62b2c88d, 0x47b6e49c, 0xf45a051a, 0x347b4d37, 0xbb03e0b2, 0x452c514f,
+    0x275f7167, 0xd101c7bc, 0x632575b0, 0x997bb82a, 0x727ef657, 0xdfefc548, 0xbd65f5f8, 0x0afe129f,
+    0x0944e785, 0xd683618b, 0x2f99bdfc, 0x802e1360, 0xdbf26b27, 0x40862aa9, 0x5ae5596a, 0xf23b11b7,
+    0xa4bb6414, 0xdc5102a2, 0x5fabaa63, 0xf9dfd40b, 0x128505cb, 0x304c101d, 0xd36104a4, 0x33c363bf,
+    0x77ae4eb1, 0x41b175b1, 0xf1ce41da, 0x7f2e0b67, 0xc22014a0, 0xaff9be1f, 0x8cbd67a3, 0x2353f5bc,
+    0x09e281a7, 0xcee70c4e, 0x5b6be8d7, 0xed745662, 0xfc249f22, 0x38348736, 0x7a8208d8, 0xc7e809a2,
+    0xa13f1a5e, 0x048dd190, 0xcd408a9b, 0xe9b66b44, 0x7d3e6f2d, 0x5ada82f7, 0xf231d2ce, 0x37f4fd05,
+    0x8eac53ad, 0x2ad498d0, 0xd42f5703, 0x6a9a1b4e, 0xd4887c78, 0x4d233f9c, 0xd052aab4, 0x8a7c54b5,
+    0xcfeb6b04, 0x9df4a734, 0x0b8d65ea, 0xf07aff6b, 0x0a86dc57, 0x70ed8c93, 0xf144db02, 0xcef6a15a,
+    0x912b274d, 0xdbf6d060, 0xeae65178, 0x0bba1876, 0xd8c66a82, 0x4282c45e, 0x3a81bcfd, 0xec61785c,
+    0xe27dfb7a, 0xcca01e04, 0xb03e78ba, 0x37eb7c17, 0xda35e88a, 0x706c814b, 0x84cb3f0f, 0xf83b505c,
+    0xb1e1e90a, 0xc93ba035, 0x1db711ef, 0x00025cd2, 0x7475c001, 0xbf4ee70f, 0x95143746, 0xaf3533c3,
+    0xa3011914, 0x7b0a4aca, 0x7b9af166, 0xb6ed5bde, 0x1498290c, 0x29c2490b, 0x91efbd88, 0x44741c81,
+    0x728a6080, 0xbb4ef008, 0xef9b3ecf, 0x95211ba1, 0x759818a5, 0x192c6e5a, 0xdfa9fe9f, 0xc436c614,
+    0x543f5b16, 0xe63f1f48, 0x86b3ed6e, 0xb2921f9c, 0xcb94fff7, 0xeab7c788, 0x61a5fb7f, 0x380da88f,
+    0xa111ae9e, 0xab7cf7d0, 0xdeef588d, 0xbada27d9, 0x02a5f4af, 0x86536fa0, 0x50a21c0e, 0x35a4563c,
+    0x82622b5f, 0x5f67a674, 0xeb292652, 0x05a331da, 0x42c8063e, 0x78de8bb8, 0x1ff28b79, 0x7e736276,
+    0x7cdb734e, 0x7273143f, 0xaf62f490, 0xde0ad637, 0xe0481460, 0x1f9b229d, 0xb724e030, 0x4882be9b,
+    0x0373a4ca, 0x7474f133, 0xbc562b24, 0x3f47351c, 0xdcdc6b4a, 0x56b40512, 0x0cfdd026, 0xd4accfdd,
+    0x4b7088f4, 0x655349a3, 0x91f9851c, 0x922c7cdf, 0x9f759475, 0x196fd5af, 0x29e6e2c1, 0x8720b30d,
+    0x43b8db8d, 0x141b065c, 0xed16ecff, 0x46a18191, 0x7f309b87, 0x6531991d, 0xe2576e60, 0xd982ff7c,
+    0xef3652a9, 0x1fafe4d8, 0x8d78d460, 0xc244b661, 0x90c22070, 0xe4910716, 0x0119d6fd, 0x5c399b5f,
+    0xbe3be099, 0xc9e87f41, 0xdb45a5db, 0x790d6e48, 0x50eba722, 0x34e54b28, 0x34438d7d, 0xb24d460c,
+    0x5bf2cefe, 0xefac4b65, 0x1389b636, 0x7cc3f94b, 0x2f316f3d, 0x7f8f58e1, 0x7cf8096c, 0xc17f8f48,
+    0x06549641, 0xe0120da3, 0x637e4620, 0x1acda8db, 0x1191d0ae, 0x1f2eebc7, 0x54a93f5e, 0x2d60b46e,
+    0x6c10c1cd, 0x7a40b057, 0x69dfc6ca, 0x14290f73, 0x6626ad43, 0xa1ca62ba, 0x73a06e8e, 0xeda333b3,
+    0xbdca7b11, 0xfece8f86, 0xca522023, 0xcfef0fb0, 0xd19b2e11, 0xe3873ea0, 0x11f590fe, 0x29bfd0f8,
+    0x779abebc, 0x75cb5f7f, 0xb99e3b62, 0xbf2f6e06, 0xe40ebf9d, 0xd607e8c4, 0x06fe7224, 0x7e6d48d8,
+    0xe403df48, 0xefddf276, 0x7e08e5cd, 0x80481745, 0x63fc4a4e, 0xb79821cc, 0x63c1041a, 0xce8cde8c,
+    0xb7f32126, 0xcef1556c, 0xdcbd610a, 0x8d286697, 0xe4a70a9f, 0x73928040, 0x85346fc3, 0x5edb8b5a,
+    0x485bfa65, 0x6066ed42, 0x74ae383c, 0x7d9d35a4, 0x03d22acf, 0x1a5a2aae, 0x50c038e6, 0x88e57336,
+    0x40113c83, 0x37944037, 0x9c88e5c5, 0x45ec26cc, 0x84c66871, 0xef641057, 0x81ce5304, 0xb824a804,
+    0xe618127b, 0x07557f45, 0xe704964d, 0x8116995a, 0x0c3a5ec4, 0xe234aaf2, 0x72fc3b52, 0x29cd8e3b,
+    0xa50ecbdc, 0xc5857109, 0x786cbf78, 0x11e0ac03, 0xc6142a93, 0xb78506df, 0x75314385, 0xff95386c,
+    0x5cd5dcc7, 0x47541525, 0x1f00f506, 0x26d1d350, 0x3b055dd7, 0x02308281, 0xc29383c2, 0xec02d29a,
+    0xbbe0d8a7, 0xcc03bff5, 0x44eac899, 0x80166636, 0x9f34369a, 0xa1a51988, 0xb29ab9d3, 0xfc5b64ec,
+    0x9738d68e, 0x4ed0b299, 0x48dd07cd, 0x553931e3, 0xbe469b0e, 0xdba9b325, 0xb27220cf, 0xdcd0c0f1,
+    0x61bd4a41, 0xbbfbfb2b, 0xf6b9b09b, 0x15cde7b0, 0x1000889e, 0x447c1713, 0x43c6e2d5, 0x72afd558,
+    0x593b6e41, 0x1f5e126c, 0x6c64c314, 0xaecd0abd, 0x9628bafc, 0xab7b3bd2, 0xefbd8d1d, 0xbac98664,
+    0xfc34f637, 0xf851e9e0, 0x28d268f2, 0xf67d8f12, 0x371e700c, 0xa54153ca, 0xdbe06038, 0xb5653e82,
+    0x60b0c866, 0x259a2274, 0xf9d7ab3e, 0x9b6cfa68, 0x09a767b5, 0xdaa1e82a, 0xdb3887a9, 0x93c74afd,
+    0xc994a221, 0x2a6e93d1, 0xd0014ad4, 0x68e60f06, 0x626b38ea, 0xbb9f68f0, 0xc37809ce, 0x8b95b3d5,
+    0x4d6e5f80, 0x4ce39578, 0xb874c372, 0x0eb8ed22, 0x550f8cb8, 0xa987c3c3, 0xc2d9e5dd, 0x776ff6a8,
+    0x2a95d6bc, 0x2fc51261, 0xc40b3639, 0xe77eedb1, 0xb1f3b596, 0x6004d938, 0x1da416c3, 0x4170f943,
+    0x7a1ef74e, 0x31194d93, 0x53a6b3de, 0xba692ac0, 0x72576b08, 0x0a24a5e6, 0x2948ed2f, 0xa5cd4ea2,
+    0x470fe1af, 0xca016ef4, 0x27d8c4dc, 0x6475d4a5, 0xe653ce71, 0x79e7089d, 0x500cd043, 0xde6c1b03,
+    0xdaefe3e3, 0x89ceb8e5, 0x04a542e8, 0xd4f5773a, 0xd4b241f3, 0x444b9237, 0xbbaad819, 0x0780d05f,
+    0xbf23b7e9, 0xb1069849, 0x75103925, 0xa2b0173e, 0x7a60064e, 0xdcc608c1, 0xad7aafd1, 0xeca03f01,
+    0xec88e76e, 0x51481a9d, 0x61956657, 0xf853895e, 0x2af489cb, 0xa2283533, 0x0397e8b3, 0xcaaae3a6,
+    0x09c2da9e, 0x0893712b, 0x2c9ae0b3, 0xd3f96d93, 0x5c6dd0ea, 0xe63e6b92, 0xff6b5447, 0x32f5f5f7,
+    0xe7c24e90, 0x675983dd, 0xabe9e86d, 0x97b2f6f8, 0xef461b46, 0x183dc15c, 0x10697e98, 0xa9d760ff,
+    0x7092e45b, 0x933e465b, 0xaec9845b, 0xce5e4ab8, 0x74007d18, 0xc779fb8f, 0xe101aa7c, 0x9bd469f0,
+    0x7f6e7276, 0x90ef9220, 0x88d21f40, 0x14ce98b7, 0x3e6e6541, 0x80f3a1a8, 0x229de39c, 0x5c91c433,
+    0x70a6dd39, 0x24f582ee, 0x0ac2cbe3, 0x85e24541, 0xd538cc42, 0xd5f06949, 0xa200c2c1, 0x0e39d4c3,
+    0x18bbb617, 0x603f51af, 0x36f8c7a0, 0xd31da5cf, 0x6b0398c9, 0x7ec05448, 0xdefa300c, 0x1347900f,
+    0x1bf73484, 0xd5d06376, 0xadb7970b, 0x2cac954f, 0x15ccf9ab, 0x262633e1, 0xab380b64, 0xfa85bd7e,
+    0x56d105ee, 0xb6a51682, 0x49c7c234, 0x1c452a10, 0x63f4ff9d, 0x039a52ea, 0xa8e4e141, 0x60978d8f,
+    0x0bbd64c9, 0x69a01c71, 0xe2ab9397, 0x3a6ccdaa, 0x87be173d, 0x7b970b39, 0xe85835f4, 0xea12f340,
+    0xd5b59109, 0x268a1689, 0xf8fdbaec, 0x5aa8665b, 0x4dc4676c, 0x0d3257b4, 0x18049920, 0x917529b1,
+    0x0f9be245, 0xcbfa0b6f, 0xb8d0b503, 0x96f856d2, 0x31534070, 0xd84b945e, 0x99945fbe, 0x35fc56d4,
+    0xe700869f, 0x652be5a9, 0x2da6008f, 0x89051b75, 0xf18edd55, 0xeb798330, 0xf5b62424, 0x3b77faef,
+    0x4193835d, 0x83a1fed6, 0x91dcf695, 0xdea35f91, 0x6760312f, 0xe0e1fdcc, 0xc271640b, 0x58da7ca8,
+    0x76eb6969, 0x70453e63, 0xb3cd61e6, 0xe60bc8bc, 0x7c355d6e, 0x000a1831, 0xb65c2297, 0x0f65dda2,
+    0x05cd0615, 0x7ec3b425, 0x3db45733, 0x6bf45ee2, 0x3c3587f4, 0x61823bbf, 0xc0994c8a, 0x98424fd9,
+    0xf4d864a6, 0xf2aa647d, 0x645f5028, 0x622508b2, 0xdaf1a654, 0xd7b4ab64, 0xc509bc82, 0xb966c725,
+    0xf5162187, 0x321f05e0, 0xaf029740, 0x863cbe7a, 0x3bcf5ea5, 0x50f28df0, 0xe32941d9, 0xb1329bed,
+    0x3b135483, 0x3d706240, 0x56f5a02c, 0x05d9d356, 0xeb6edfca, 0x38083f78, 0x01ca92a6, 0x599b37b5,
+    0xc0f6e00a, 0xf2c332c6, 0x63906587, 0x8a67361a, 0xc26c8638, 0x10feea8c, 0xfdbee381, 0xa4018956,
+    0x21bed558, 0xc6095191, 0xa4b448af, 0x1fce6e92, 0x5567f3c8, 0x5efc42d6, 0xbd5d6b36, 0xe262732d,
+    0x74c66352, 0x9112c58b, 0x64d52021, 0x42ac3dad, 0xd4134803, 0xd8918905, 0xf7a7cd77, 0x421efec6,
+    0x4276ab50, 0x8187f8c6, 0x3d88f1c2, 0xe73bdf49, 0x7db171ce, 0xa91ea328, 0x762f097a, 0x5c59a2cf,
+    0xbe0a5dc4, 0x375cd452, 0xa2e6cb1d, 0x05d2e637, 0xccdda7ce, 0xdbd40922, 0xa1c801c8, 0x43bf3761,
+    0xfb09835c, 0x1f52a079, 0x83100b68, 0x976ba8bb, 0x1f1bda84, 0x78759fbb, 0xbfd36e73, 0xe09e0f04,
+    0x15972228, 0x92935e36, 0xe858d3eb, 0x5a545c7d, 0x8d26b50c, 0x8e5d4f98, 0xcea543be, 0x941d280c,
+    0xfe44159b, 0xd75048ae, 0xd1809d27, 0x68c4e5a3, 0xa9244950, 0x088140ba, 0x7aba3337, 0x7faa9da2,
+    0xe8c2d87f, 0x482c250e, 0x87bf5518, 0x40a78c0d, 0x8d54d799, 0x586bb56a, 0x5200a1a8, 0x657b279c,
+    0xdf425be6, 0xe112e5c3, 0x8fbd2e49, 0x36bfe346, 0x505ef7ad, 0x2c9ac0c9, 0x8a65736a, 0x3c34c4d3,
+    0x75afd3af, 0xfcf7fcac, 0x4316fe4b, 0x678f73de, 0xd1e462d7, 0x5dfd578e, 0x103a8f3d, 0x5bf7472f,
+    0x5c0bc4aa, 0x740819dc, 0x1438e57f, 0x86962a61, 0xd06b0876, 0x9120c695, 0xf24aea19, 0x483bbf96,
+    0x46a93739, 0xf4fdd16c, 0xf57137f4, 0x980f05e5, 0xdf80ab58, 0x021f7bed, 0xf726c2b4, 0xc66ace3f,
+    0xa43db024, 0xa5928d37, 0x4aea4c4b, 0x09266311, 0x3b48fde0, 0x1ea76383, 0x07a44da4, 0xf36fe4fb,
+    0x6a8a51a8, 0x196b9375, 0x6bc04c66, 0xf7a3822a, 0xf046ecb6, 0xfc2bc3cc, 0xb0402355, 0xdebc5d2a,
+    0x8ccf3d60, 0x904f0957, 0xaebc6ef3, 0x542d27e6, 0x0e15c1f5, 0xaa61dfcb, 0xe9ca9d50, 0xcfe45c16,
+    0xfd0cbddf, 0x29189a3d, 0x8177563a, 0x82ba074c, 0xeba30a34, 0x048acc86, 0xdbebb003, 0xc670d6aa,
+    0x6dead72c, 0x5d0697a6, 0x13a8fdff, 0x3992c9dc, 0x4ad0ff4f, 0xeadfe18c, 0x4266479c, 0x7a2000ee,
+    0xc08502ee, 0x860ab4c1, 0xc50de4bb, 0x8c893409, 0x76817216, 0x474a08c1, 0xbf3b88aa, 0x47cd5dc6,
+    0x030f5e7d, 0xe7c54d53, 0xf18730d8, 0x69a68e44, 0x7575ebc3, 0x0c2d0dba, 0x5b991734, 0x00d800c8,
+    0xe51e42d6, 0xa636414c, 0x1d23cacc, 0x48c437e8, 0x115a9128, 0x9d4272ca, 0x5f954f89, 0x1d507b2c,
+    0x31a025d8, 0xf0d20fba, 0x9f80c0fe, 0x3efc2878, 0x0a32172f, 0x014b76a6, 0xa7fd4c78, 0x1ceae881,
+    0xb908123d, 0xcf4a7833, 0x94ed3583, 0x367890ee, 0xb101b042, 0x2762fc4c, 0x4cceff29, 0xff7c7d76,
+    0x79227b93, 0x8ec6ae9b, 0x94e4dad2, 0x4494193e, 0x4e186c43, 0x8d571bb3, 0xc26aa0d4, 0x11b056cc,
+    0xace602cb, 0x95682134, 0x6a4f1a74, 0xaaf71efd, 0xa1225bf3, 0x6b158750, 0xe031c06b, 0xce1c96c2,
+    0x00000000,
+    0xda66cb61, 0xb7fa6d7e, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000044601490397061246283071436545296723011960832 */
+  { 0x00000000,
+    0xeee56e30, 0xca43baa3, 0xdb83f0c2, 0xa357e522, 0xf66b29ad, 0x6b192886, 0x9c2167dd, 0x2c61c0a7,
+    0x87e97c26, 0x0b710188, 0xaac9a5c5, 0xfd5a2561, 0xde333c67, 0xbac0b850, 0xf42eda0e, 0x8252dfa1,
+    0xc9b40c5c, 0x4478ec2e, 0x1d9d76a1, 0x7becbeda, 0xdd633c2e, 0x7da0135f, 0x50662590, 0x27a40bc2,
+    0x778ffb1a, 0xa0570f48, 0x0796ffdb, 0x91778671, 0x390d2b0a, 0x91a6ddd2, 0xeb1044f3, 0x297147ce,
+    0xd7239782, 0x6b65116c, 0x58e45224, 0xb1cccf4c, 0x9dc9df90, 0x35161ac5, 0xcaef991b, 0x8ebc43ff,
+    0xb58db00f, 0x371c330b, 0x83d240af, 0xe3fa826a, 0xd2d31d71, 0xf7c2f3a1, 0x9825c5c1, 0xe7deca7a,
+    0x0b5e1435, 0x384722dd, 0x6d251b7c, 0x57b100cc, 0xa026a324, 0x64786685, 0xc61f5a68, 0x97857615,
+    0x8d0e8356, 0xb7a8362a, 0xa151d12a, 0xbaad5438, 0xe48b8f04, 0xf37fc7c7, 0x8515ddd6, 0x59eeba04,
+    0x01c54445, 0x648ad0b9, 0xe7e2af50, 0x9325c313, 0x0a54d21e, 0x22a316b5, 0x982014e6, 0xd57fedb8,
+    0xd8e7a3dd, 0x90897463, 0x21e53d60, 0x491ff55e, 0xfe7cd1c0, 0x9f28097a, 0xb2a77206, 0x85bed1c0,
+    0xe9398f4f, 0x38df5227, 0xcc20c328, 0xc0d5a06b, 0x1bd9fdbf, 0x4dc63a8a, 0xc18dcc37, 0x0e60d524,
+    0xfb678b20, 0x08f690d2, 0x37ac1b5a, 0x32c4221a, 0x70cead32, 0xb1a5fdbd, 0xce8a8768, 0x39b5f8fe,
+    0xe371bda7, 0xd9e7b38c, 0x639b2bad, 0x6349f38b, 0x94539b2a, 0x88465bb0, 0x9e5e2a46, 0x9867723e,
+    0x2f01797a, 0xa3bb2dfb, 0x57e2c59f, 0xb0847976, 0xc1d64eee, 0x46e43efb, 0xba2bf00d, 0x9e11afce,
+    0x578ec1ca, 0x1fa7bd7d, 0x39ad7519, 0xd63740fe, 0xb2af3ae8, 0x41cf71af, 0x21c8b2df, 0x0ecd82dc,
+    0xa07564f8, 0x5e21b1b8, 0x5c99ff2f, 0x91188119, 0x1c90cb30, 0xdcd546a1, 0xc6e66d4d, 0x66c98b5f,
+    0x4b346a72, 0xb2d921e5, 0x71f8c70b, 0xe4aac922, 0x927f5c70, 0xeb243d60, 0x735bf8ae, 0x362fe2a8,
+    0x8c87a002, 0x36bef2fc, 0x00b4c5cc, 0x3ebc406c, 0xee0e4ccb, 0x0b088aca, 0x66f69a4d, 0xc0780e5b,
+    0x42379498, 0xd9ffa007, 0x163613bf, 0x6338119b, 0x962c447b, 0xc8788c30, 0xc80929da, 0x1774de12,
+    0x5f9ebdf2, 0x3406cc64, 0x4c479bff, 0x98f405fa, 0xf3b1d69e, 0x32004900, 0xafcf82cf, 0xb39fcaee,
+    0xc7afd7b0, 0x53c68ed0, 0x0009f864, 0xe9301124, 0x511d77e7, 0xce5f09be, 0xa7a5fd36, 0xca6700f3,
+    0x43e24703, 0xd59326ac, 0x231875b1, 0x58fbf71f, 0x7d508149, 0x66f89bc9, 0xb25157a5, 0xab2ee0a7,
+    0x9b6add05, 0x9ecb73e8, 0x08ab0eac, 0xa1808499, 0x00765495, 0xedd7c9b7, 0x1f9494c5, 0xfa716817,
+    0x182cd6a5, 0x116efa08, 0xe4470409, 0x04f095b2, 0xd29f8dbf, 0x651bbd64, 0x721e3066, 0x644dddb4,
+    0x728ea99a, 0xad3e796e, 0x985a7622, 0x951aa587, 0x2fbb51f8, 0xeb311eb4, 0xbd6daac8, 0xe5763915,
+    0xe0342362, 0x1b7b37eb, 0xf083ed6d, 0xd6879df2, 0x83145061, 0x0ab336b4, 0xe1749a66, 0xc9d90679,
+    0x830429ff, 0x37830694, 0xfaaaa99a, 0x65aa3b39, 0x5c90727c, 0xac567bd1, 0x0b90b2db, 0x704854f3,
+    0xcda1b62d, 0x2e3c5045, 0x2a09ce57, 0x11a94920, 0x5cd8fbfc, 0x9f82e394, 0x12bbbc39, 0x16dbd9d7,
+    0x72d73979, 0x11884941, 0x7053bf2c, 0x6d1066b5, 0x0bedcf5d, 0x7d480797, 0x70e763fe, 0xa0a4663a,
+    0xff810c43, 0x91ae5dd4, 0x4867518a, 0x9bf7cd94, 0xb73ba975, 0xad4994a5, 0xc4154499, 0x1ae7f4a3,
+    0xc31813ec, 0x76452f45, 0xc29a040d, 0x83df8578, 0xa2076b7f, 0xd818c28f, 0xf218d451, 0x0b6dd46d,
+    0x5e5ecf91, 0xa55860f7, 0x369241eb, 0x4bab18b7, 0x7368f42b, 0x30f82bae, 0x5a4b329b, 0xc33e5b87,
+    0xb208f822, 0xdd36b576, 0x2b692fe9, 0xb5a9109b, 0xc56bb0e5, 0x120d1fdd, 0x4d0ce6d1, 0x1363ba03,
+    0xba0c67fa, 0xcb898b32, 0xde5ea6c5, 0x7aa252dc, 0x03c607f8, 0xf9f4261f, 0x3035bbc4, 0x8499e8e1,
+    0x1980fe2d, 0x2dc39742, 0x3b285423, 0x9b80fc05, 0x38bfbb28, 0xf91bddc2, 0x54548028, 0x6e80a506,
+    0x30286952, 0x94dac842, 0x378d2f13, 0x1dfbbde9, 0xef915207, 0xc6b6132d, 0xd6dd3605, 0x1b541ea8,
+    0x42c43477, 0xb5ffe939, 0xb354fcc5, 0x7c11319f, 0x2d1423a5, 0xc0422d24, 0x9368d140, 0xef171fbd,
+    0x850ac61f, 0x1ed3fb09, 0xbfd8d685, 0x058ca764, 0x105e5fc0, 0x77a1ad65, 0x0b7e54c4, 0x05905318,
+    0x85c19319, 0x55c3ac2c, 0x34b5bf14, 0xa2bbbddf, 0xf5908f67, 0x34b378d1, 0x4485bb90, 0x354e69d3,
+    0x23696721, 0xe8531ece, 0x65eff0e0, 0xa1b7b899, 0x797cc638, 0x5a352526, 0x2922d00f, 0x04c9c78e,
+    0x25ead241, 0x3b9cd9a2, 0xb4729512, 0xb8fa0709, 0x14167892, 0xec2ae449, 0x0c096d2c, 0x1a3a82a5,
+    0x61c8a720, 0x7553164b, 0x95151d46, 0x001e5a3c, 0x41bfd7f2, 0x8d348bde, 0xb806115f, 0xc6ca9e79,
+    0x0177298d, 0xbe31af2c, 0x6b916fb4, 0x66416f4d, 0x10352b8b, 0x8f395d08, 0x3a855b84, 0x8cce46ec,
+    0x5b095e88, 0x124ded4a, 0x6c39964f, 0xffcf4851, 0x14bf5d72, 0x122b4462, 0x94bc3c19, 0x1ea690cb,
+    0xa02ff401, 0x813a9ecc, 0x8db498d3, 0x7cb8eb48, 0x6ebdf1e1, 0x3e4f4478, 0x1213ed99, 0x3d0b7443,
+    0xffa0f409, 0x8a7c5d4d, 0x46650f23, 0x23c9ccb6, 0xde33632d, 0x9ec81f45, 0xb818cf62, 0x7e4ccf42,
+    0x5fecdcd8, 0x4a5b3e43, 0x703ff50d, 0xe8729b6c, 0x5e8051a0, 0xcfdba03a, 0x9afa350f, 0xd71039a8,
+    0xf298ed7b, 0x81c3ec6e, 0x14953ebd, 0x74549a4d, 0xde8ab514, 0x92eef2e0, 0x952ed054, 0x0b6b1269,
+    0x936daadc, 0x01cc10e5, 0xe90c4072, 0xdafd8cda, 0x2dd9f57c, 0x33324ca3, 0x1ef53ead, 0x63e03647,
+    0x6b4cd67c, 0xc9031ec9, 0x2807e93a, 0xf0b54ab5, 0x5d2ba784, 0x61299843, 0x76356416, 0xe2c82df6,
+    0xf1497c48, 0x8047f8fc, 0x00956723, 0xc610c30b, 0x912da805, 0xbce1e4e5, 0x13e09dcd, 0x17265b88,
+    0xe72d9aca, 0x0c7664da, 0xa1e4ef00, 0x74b9c971, 0x27bc2dff, 0xbb261de0, 0x368e37ac, 0x1d946e7f,
+    0xe12874cc, 0xd337c406, 0xb6455f9f, 0xac626f00, 0x9aa25387, 0x957d3a8d, 0xd6d4f18e, 0xd7fd0029,
+    0x64d56cfb, 0x439abaa9, 0x64840865, 0x95dc1ed8, 0xa30f1b62, 0x7e32f0c2, 0x26505f3c, 0x7d6a4c38,
+    0xabd1952f, 0x8df9696b, 0xb5a5d7f0, 0xf2ad4df5, 0x4475a9a3, 0x2ef8016d, 0x61b74ead, 0x94d2432d,
+    0x314060ea, 0x42b81710, 0x3c7b483d, 0x4e586ceb, 0x75a668ea, 0xcb7c9d97, 0x8937dece, 0x5352c24c,
+    0x479612a3, 0xaebfc669, 0x0cd223f7, 0x52795149, 0x6b02c308, 0x42b9ad3c, 0x4e436ccf, 0xd57c91ef,
+    0x12835557, 0x4dd6f18e, 0xe967eae4, 0x88ce5aa6, 0xa3a12329, 0x412b40c9, 0x28945d3f, 0x3f5f4da3,
+    0x7a87a3c5, 0x855bb5e8, 0x6ec9823f, 0x600bb5b5, 0xfd70e339, 0x5638e5f9, 0x19cbbc83, 0xdffec9c7,
+    0x285391a6, 0x48f98d4c, 0x53595328, 0xc5a07a93, 0x928dd7e2, 0x5ceb90fc, 0x70456c63, 0x70a97f59,
+    0x99fd4608, 0xbd36bbd9, 0xa3f2e890, 0x15664980, 0x577635ef, 0xf4493129, 0xca3e8ef8, 0x2c00e2eb,
+    0x1c3f1a5c, 0x76b6d33c, 0x76392129, 0xaa596a1a, 0xa6db88b2, 0x09cde2cc, 0x73754cb3, 0x28933467,
+    0x14e46713, 0x16822b97, 0x6ff7e079, 0x6669b197, 0x74871e19, 0x09385edf, 0x2708a5be, 0x08363962,
+    0xc55db66f, 0xe45d6f4b, 0xbf5aad8b, 0x5e8ed02a, 0x0ad24f7f, 0xb5236406, 0xa92ff9d0, 0x1a9705a3,
+    0x57991a35, 0xebed2520, 0x4f789ffd, 0xe106a52f, 0xe60453ab, 0xbe5b7c07, 0x18ede577, 0x3c24036e,
+    0xf8a6d039, 0x1ca35040, 0x967b1d63, 0x039ef41b, 0x1037d422, 0x8f99c930, 0x2e41cc0a, 0x60b123d6,
+    0xb7a6d0c1, 0xf461ae13, 0x41275c94, 0xc0518049, 0x59fd143c, 0x56d11e9b, 0x08c2b64f, 0xc467811d,
+    0x0c7477bd, 0x2611dda6, 0xd782d2b3, 0x0d9f2f32, 0xc0a1bd2f, 0x10d80881, 0x94680125, 0xb6217146,
+    0x23662810, 0x250b194d, 0x17895d7a, 0x9d154c53, 0x0dc80ebe, 0xd8f47c3f, 0xaf14135d, 0xc29d7cad,
+    0xce053e4f, 0x1892885d, 0x1336ec2c, 0x1287d54e, 0x96144fb6, 0x4c6c5501, 0x6b2bf49c, 0x7dfc917c,
+    0x2b7b5572, 0xd9769719, 0x6957c646, 0xf38274f3, 0x2d1b8df2, 0x675b1ed0, 0xa536b0f2, 0x17ed36ec,
+    0x675d427d, 0xd72fc05a, 0xc90617e8, 0x05356bc1, 0x98c9dbb6, 0x234733a6, 0x43464aec, 0x816cd2b5,
+    0xbddc720c, 0x2933da63, 0x470f1b42, 0xcb971af0, 0x118fbfaa, 0x3fb165fd, 0x3c287fd7, 0x65bc3c5f,
+    0x9b5419b4, 0x5d4467e8, 0xffe367f4, 0x458ae8d6, 0x85c26334, 0x5b3b9798, 0x4c9c2843, 0x8d61d526,
+    0xea97f0be, 0xabcf1d75, 0x8f69d35c, 0x0362f9bf, 0x7742d2bb, 0xc92a060e, 0x22b6d5c8, 0x2a3305f4,
+    0x8946b458, 0x94bcc44f, 0x0093d834, 0xe4858c4c, 0xeb28eafd, 0xe57614bb, 0x22ed6b7a, 0x7cd2fce0,
+    0x6010da86, 0x3e76b492, 0xbf83352b, 0x53b9b271, 0xe8c574df, 0x5e67406d, 0xb38a5ac8, 0xdf4de270,
+    0x511bf200, 0x13fd996b, 0x313a3d0a, 0x7928e369, 0x956e4c1e, 0xefeecd6d, 0xff782a36, 0xff317665,
+    0x14100ca2, 0x39f79f06, 0xc27625e5, 0xaffa016d, 0x7912b2de, 0x57720f87, 0xdff8822d, 0xe6b4eaac,
+    0x734d7e6d, 0x5dca49ff, 0x5fc3043e, 0x405e6ebb, 0xad623ba6, 0xabec2007, 0x4d339412, 0xf689172a,
+    0x1480f1a0, 0x31210506, 0xff94fe66, 0x9302a3c8, 0x8247703b, 0xd0503bdf, 0xfbf5d943, 0x9410a16e,
+    0xc11a5554, 0x1a78dad5, 0x9f0ff7af, 0x90be7b74, 0x785e64a4, 0xb2757c96, 0xf2480f00, 0xd4c12bc5,
+    0x1ac9aa2e, 0x30a6ee63, 0x0c58bcab, 0x1df0f064, 0xa702de71, 0x5dc04ebc, 0x93e1cce9, 0x35d6b106,
+    0x12941bcc, 0xdc8317ea, 0xec25c115, 0x93c13b3a, 0x70d459ab, 0x5669fd05, 0x77bd3ec3, 0x8add8177,
+    0x5c256be2, 0xc2bfa154, 0xed4e1b4f, 0x17c21e58, 0xe616c0c3, 0x10e62f94, 0xce759f92, 0x0706b859,
+    0x81cf322c, 0x204ff3d1, 0xc79348be, 0x6d93bb68, 0x5033e299, 0xb0c83601, 0xa6e2208e, 0xc80614b6,
+    0x43e1f808, 0xa1fbeb9a, 0x8eb29f36, 0xb9be14bf, 0xedcd20ba, 0x25c9b964, 0x5f744fad, 0xee6157c8,
+    0x66e9bad3, 0x2d34f12c, 0x18164ba9, 0xf156404d, 0xe30c7484, 0x42c2682f, 0x235e0b5c, 0x1cb2fad4,
+    0x891c644b, 0x085d111a, 0xdd979ac3, 0x759dd28d, 0xfdcb125d, 0x9eac9ec7, 0x831d2705, 0x8b7c6c4e,
+    0x1fe61c29, 0x9b9eed44, 0x06ed4061, 0x92997b63, 0xbbfe84f8, 0xf5956db5, 0x0f078912, 0x85bad464,
+    0xb931a60f, 0xb4a05cdf, 0x369a4b11, 0xad01e42d, 0xbfa9d1f3, 0x5a839910, 0xe9d4f3a6, 0x50410a07,
+    0xe7032cd5, 0x37ef3db9, 0xff6430b8, 0x57cd19f0, 0x8d5acc19, 0xbdcdf467, 0xe77aa4f4, 0x8ac9e1ce,
+    0xe15786dd, 0xa36f0d12, 0x9cf9a302, 0x66100c7c, 0x1fe03287, 0xa7a96618, 0x586c832b, 0xcb600148,
+    0x3c8956af, 0xdb03ddb8, 0x74469796, 0x361417d7, 0xc035488a, 0x0bd68975, 0x2b187041, 0x6c8d78c8,
+    0x5915d3b4, 0xb06f02cf, 0x0e0893f0, 0x650673ab, 0xb058d819, 0x6577e585, 0x1bf2bbec, 0x6def8d0f,
+    0x511ca969, 0xe9eda6ab, 0x6063437f, 0x2f08392a, 0x5c75544b, 0x1cd4d57e, 0x3669b27b, 0xdca781d8,
+    0x2248fe8d, 0x301bd9a0, 0x49a3cf78, 0x30863270, 0xc03e5bbb, 0xc15b7231, 0x59a012e2, 0x3e925f87,
+    0x5409d74b, 0xa7b6073f, 0x16ef4b18, 0x010287de, 0x36db9b92, 0x12d95723, 0xee024910, 0xe2e71c94,
+    0x0ad5a0ee, 0x0580c4f1, 0x7d424bfc, 0x16c1ee9e, 0xc7ff91ff, 0xc9def503, 0x7ef7c5b1, 0x0b190ebd,
+    0x123da522, 0x5d1c5578, 0x79f0e1dc, 0xe63c68e8, 0x21eb186a, 0x07f63d61, 0x3eb5dad8, 0x38bdf210,
+    0x44b10095, 0xfb6368aa, 0x979250e8, 0xca54fec7, 0x0c947a65, 0x2e99297d, 0xadfe2ec4, 0xc309bca3,
+    0xb05d09d5, 0x7c8f47c2, 0xae49a9da, 0x8f86e257, 0x2458eff9, 0x2338c6ae, 0x3b45cf62, 0xfaedb6f7,
+    0x96291d24, 0x006d6529, 0xad8142ff, 0x2cb4cfbb, 0xbf3cddd1, 0x9b53d1fb, 0xec5ffec5, 0x7c56bfa7,
+    0x2bfa8e8a, 0xd980a01f, 0xf935a8bf, 0x02a542fc, 0x3143f9bc, 0x0407a7b0, 0x17b801dc, 0x6e6f166b,
+    0xbcefde33, 0x844ea396, 0x18bcec5c, 0xaeadb8fd, 0x96b775dc, 0xe3e68940, 0xc8c3645f, 0x7236fa8c,
+    0x40c277ee, 0xf2e94cac, 0xf9b0b6f0, 0x78af327a, 0x049ca5a2, 0xf5310440, 0x3d238e3d, 0x0fa5fd58,
+    0xc19f0154, 0x9d3556f1, 0x91ff4201, 0x6a15c53e, 0xf635aa15, 0x8901f60b, 0x3f9486ad, 0x038e41f7,
+    0xd9f51d21, 0x2c74fd26, 0x95bb35ab, 0x52293e3e, 0xc5430b7c, 0x4f342de4, 0xb4a793bb, 0x15354f6a,
+    0x43311c99, 0xbabb9d17, 0xb58c52e2, 0x8f2ea4e6, 0xe20e6ac8, 0x71464d7b, 0xdcf7636b, 0x96c76f51,
+    0x15c7b411, 0x3303ce52, 0x8b179c85, 0xa1cc4f66, 0xced74c71, 0xa1081a4b, 0x7c6db381, 0x464d0fe8,
+    0xb279ed57, 0x7a929fe8, 0x3c3e9b0d, 0xc98e2e01, 0x9dd12c86, 0x05f640b8, 0xd36767b1, 0xf00bd2b2,
+    0x6e079137, 0x4a2db434, 0x0564d47f, 0x48b66f12, 0x293de16e, 0x9815f7d6, 0x098d1bf2, 0xa5e7d243,
+    0x608aafed, 0xf6a87f4d, 0xc032afaa, 0x4ddb012f, 0x63d9a6d5, 0x19dcf721, 0xbd8c121d, 0x079f7fba,
+    0x2e75f462, 0xc64b36a8, 0x5cc85513, 0x72b14738, 0x558916e3, 0x1a5bb5ab, 0x6702d167, 0xe066c6ff,
+    0x1066ec17, 0xdff5ceb2, 0x7458a1e3, 0xfe0cb1d4, 0x709d209f, 0x654afffa, 0x6ca36242, 0xcc180175,
+    0x7a72dcd3, 0x6635d867, 0x11411498, 0x371dc892, 0xba7357e3, 0x5355b58c, 0xa5620a7b, 0xaeab1758,
+    0x5041f036, 0xfbfc3219, 0xa334f79a, 0xf820d118, 0x5c407597, 0x5a4d150a, 0x72d907d0, 0x0c6700e7,
+    0xecf1ccc6, 0x0f4ff007, 0x4a689b65, 0x00bd3aab, 0xe04feb2e, 0xd362cca2, 0xab4a53a3, 0x4adefc96,
+    0xce3e5805, 0x4b37a874, 0x240f07e2, 0x6a59e0da, 0x3b2b0ef0, 0x22099b97, 0xbcb5fc31, 0x12c4738d,
+    0xedf91f0d, 0x3b78d7c8, 0x28973697, 0x11f24a77, 0x23c6b457, 0x69a991d6, 0x934c0694, 0x29aca129,
+    0x3b0f7277, 0x35f805c5, 0x91949c25, 0x619446f2, 0xf41cc2a2, 0xc27d0bd1, 0x36a7db01, 0xbceb2d92,
+    0x06b8f5f8, 0xd551a465, 0xe1c08cb4, 0xb8a24ab8, 0x896d908b, 0x53bf67d3, 0xd8630f51, 0x18a93149,
+    0x618e760c, 0x0349d671, 0xac898cd4, 0x811b7d80, 0x5b516466, 0xb78e557f, 0xcb216c40, 0x5457a315,
+    0xf0b4c5b7, 0xb7121cf7, 0xad3f3a0f, 0xdfa4603f, 0x979e2478, 0x6f7165a0, 0x9816f39e, 0x2b1e3921,
+    0xe1139a46, 0x29121093, 0xf289ca24, 0xdeb0c956, 0x0ec4ea20, 0xbc029956, 0x715d3f6d, 0x6419dd51,
+    0xe5dd2add, 0xdc5296e3, 0x8c32b9cf, 0x0fb4cc99, 0xa01e1a74, 0x95557906, 0x6ca448c3, 0xa26d2049,
+    0x00000000,
+    0x6d3365b0, 0xdbfd36bf, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000022300745198530623141535718272648361505980416 */
+  { 0x00000000,
+    0x4529caa8, 0x6242f7d4, 0xfe966883, 0xf43fbb69, 0x341e5715, 0x7a55b34e, 0x5ab9d4ab, 0xeb008405,
+    0xc61065f2, 0xb351aacb, 0xc684ed2e, 0x5cfdb288, 0xff03ba28, 0x65e5be73, 0xa9e380e5, 0xbc0da7f6,
+    0x7493a153, 0xc1e347f5, 0xfa4b2626, 0x0247ee42, 0xb2ac897e, 0x01dcb7b7, 0x970b7af5, 0x26fb8f3d,
+    0x5398f72b, 0x9c35a681, 0xba56b4c6, 0x59fc4c15, 0x01a026aa, 0x5f0006f3, 0x3b63ab27, 0xf817bedf,
+    0x26bed817, 0x4b7cebc9, 0x6fc0fe26, 0x857abca1, 0x891a94c8, 0x1772703b, 0xd6a65ab8, 0xad771eb0,
+    0x4c43e23f, 0x842ebffe, 0xe1605a23, 0x0b015854, 0x4272977f, 0x3fbfc063, 0x454aa665, 0xd00851ab,
+    0x9c0ff61e, 0x000f70df, 0xd755d4a1, 0x6ccc9353, 0x7806cfe2, 0xe8cba4c7, 0x81c68dc0, 0x716d0546,
+    0x08b5576a, 0xa19590d1, 0x1a802bcd, 0x2dba9bd8, 0x3738f7d9, 0x9c1d4df2, 0x84196c17, 0xa6fb1509,
+    0x507b95fc, 0x153455ba, 0x04ae9943, 0xc186136e, 0x170c130f, 0x9195a43d, 0xac2a8f78, 0x34f9a8f7,
+    0x53ee5442, 0x1f26d447, 0x5da8bd15, 0xfadbe9cb, 0x4114495a, 0x7f58c71a, 0x24494ce7, 0xd04cf015,
+    0x16811200, 0x85cf6ac4, 0x2cb7fdb0, 0x3e264b63, 0xb459041f, 0x5b79ec91, 0x022163e7, 0xcce56b01,
+    0x636bd1d9, 0x8ae801ba, 0x3fd45077, 0xd01dfe94, 0xb53d9c76, 0x3049c95b, 0xde49269d, 0x140be75c,
+    0xe6702711, 0x43d2f0d9, 0xa26cdbe5, 0x01c61877, 0x2c16d501, 0xd41bd87b, 0x23813f5b, 0x400c332c,
+    0xf355420b, 0xda91035c, 0x1bedf787, 0xe86f93bc, 0x4620a972, 0x4253635b, 0x703cd769, 0xc94867b2,
+    0xc5b2d622, 0xa83b95e1, 0xbb02a973, 0xd09cb3c8, 0x869200a1, 0x43f51b55, 0xc13c40af, 0x5e13be60,
+    0xa341019b, 0x70f953db, 0xfeed2432, 0xba26d818, 0xe0f4efce, 0x8ce1050f, 0xad6511d7, 0xecd524aa,
+    0x4f745f23, 0xcf615697, 0x813b5a4d, 0xc7104873, 0xa51db63a, 0x6a57dc55, 0x33a45cd9, 0x47ae18fb,
+    0x7110efb8, 0xaa4c5d20, 0xa799cb96, 0x7605e699, 0x7c5f75b1, 0x14aa0345, 0xed69e3b9, 0xcc5e5ec1,
+    0x0041040f, 0x9a2abba3, 0x01e15c3a, 0x3867e86a, 0x06a923c4, 0x434d945c, 0x234e2acf, 0x7adee1b2,
+    0xdd50b739, 0x695ef22d, 0x9320cdff, 0x920ae067, 0xf39c06bb, 0xcb66847c, 0xdfeac966, 0xc2402b2c,
+    0x9fcc87b4, 0x81fc6702, 0x181da0b6, 0x89fd9db8, 0x776f2fad, 0x3f8799ad, 0x6ee748e7, 0x7c7b3e0c,
+    0x4b9db38f, 0xefa19e76, 0x32c9eaf0, 0x1856c4a5, 0xa48a74f8, 0x8348b508, 0x3012d528, 0xdeab7efb,
+    0x1553c8a7, 0xb17c048e, 0x2c243916, 0xf06c82e9, 0x9ca6cf93, 0x543ce364, 0x51b00f50, 0x147069ce,
+    0x7ed41647, 0xeef6428e, 0xa01524a7, 0xba97bd7d, 0xbcde4fe4, 0xbe1593de, 0xe5f07c07, 0x8c7c88d5,
+    0xbb40ddc9, 0xba0e2412, 0xcb9ba0f3, 0x5c012cba, 0x984cb6a8, 0x2885cd4e, 0x3805e375, 0x32ade25a,
+    0x9b4bb98e, 0xe842cfac, 0xc3d55938, 0xc1d0ec3a, 0x25e00a39, 0xad246c89, 0xb66653f8, 0xfa6c0684,
+    0x3b4f4913, 0x2dc79d59, 0xce93de97, 0xd2a9bba6, 0x2d9740e3, 0x2f54aa2f, 0xaa5828ba, 0xf91b0993,
+    0x37c07282, 0x8d028cb8, 0xda3c2288, 0xfc16341c, 0xcadc755c, 0x0097c52a, 0x7924bd2e, 0xa5e94160,
+    0x226d314f, 0xaa989d1f, 0x35088d65, 0x45b62557, 0xe0556ee6, 0xc403c39d, 0xcc3c89f2, 0x2acc6603,
+    0x00794608, 0x927f4a07, 0xd3d033d7, 0x67d6fd3a, 0x689f9b26, 0xb8f83f82, 0x8f24aaf2, 0x16bfbba0,
+    0xa39903de, 0x96b02079, 0x984f34c3, 0x0b863bf4, 0xdc21bc33, 0xd459652a, 0xb9c492e2, 0xec02c9c0,
+    0xbe6bacba, 0xc7a1fd1d, 0xde20ef83, 0x802647dd, 0x4480701c, 0xaf92c0cc, 0x8be4a780, 0x4344db66,
+    0xd0eedb86, 0xb45a956e, 0x9764a5fc, 0x9f7c99d8, 0xb25d1a35, 0x5efc7594, 0x461d02c5, 0x1cb80da2,
+    0xbaff0c2b, 0x308e1a09, 0xb97c696a, 0xcb741340, 0xf26eff3d, 0x4129c8ef, 0x9e17cbb8, 0xc6b0747e,
+    0x9aacaf34, 0x8685525b, 0x9c676faf, 0xea409fdf, 0xf6f85d5f, 0x8938fdac, 0xcf2dee6c, 0x58292d29,
+    0x6eead68c, 0x0045961a, 0x68da5b1d, 0xa7511b98, 0xae1689a4, 0x5afbe517, 0x2550275d, 0x21af148a,
+    0x8f348c26, 0x9200ed85, 0x2a19fc40, 0xc3ecca68, 0x588e4ec6, 0xa846dfb0, 0x1cbe9d27, 0xada9a1ba,
+    0x8da84b66, 0x4b1fd484, 0xbaf9196f, 0x05f12711, 0xbcce864d, 0xcfb1787d, 0xce67b263, 0x729a9e15,
+    0xe79103dd, 0x2541a570, 0x68f851d8, 0x608ce4f2, 0x65ffc09e, 0x28b8ad60, 0xc804146e, 0x0d146cca,
+    0x0a35823c, 0x0d6cd9b3, 0x07243dec, 0xcb35de61, 0xcc33ca65, 0xe577ce66, 0xd7ee468f, 0x080d8ec3,
+    0x61183ee2, 0x2a778a62, 0x40d175de, 0x92ca513c, 0x39cfd387, 0x61305aea, 0x1a769abd, 0x50e1c7ce,
+    0x10251542, 0xad266d8e, 0xdf9d4bfe, 0xe618a760, 0x2da20538, 0x5c33ee59, 0x4c6be756, 0x7ceeab7a,
+    0x43317f69, 0x5582cee9, 0x611dc770, 0xe2b51754, 0x623f8bf9, 0xd24ca00d, 0x211d9727, 0x4f350113,
+    0xe34ce989, 0xb1c30f9d, 0x459e345e, 0x66ce1100, 0xdf9de900, 0x46f04da5, 0x04331d87, 0x57fd646c,
+    0x4a7b2356, 0xba36db6c, 0xbd9c18c9, 0xe5396131, 0xd6ba1d04, 0xa8d312a7, 0x47abf63d, 0xd2db055f,
+    0x15d7cde7, 0x58bf168c, 0xad60448f, 0xf18fafbb, 0x3b91ce25, 0x16a932f5, 0x32b584bb, 0x942280a4,
+    0xab880b8b, 0x385d2829, 0xc334caf1, 0x7f27a8d4, 0xaecfd35a, 0xc1918cf0, 0x2255e16c, 0xb8be60a7,
+    0xe5adff38, 0xa1cbcb04, 0x9a6d12e3, 0xdfd36904, 0x7a06a984, 0x68d8bc1a, 0x042ba80b, 0x62003db0,
+    0xc8135b9c, 0xaf9db7d4, 0x0ac5b45b, 0x9dfa2d4d, 0x13f5d28b, 0xdbed9335, 0xd9bee0ee, 0x33c44749,
+    0x1670e6a1, 0x8ebab0db, 0xa8c78412, 0x4f0332e1, 0x14ff8cc5, 0xe97ad3e6, 0x375c546b, 0x3d04f596,
+    0xa665fb49, 0x5a62daab, 0x7209771f, 0x102b6d59, 0xfa422c9d, 0x7ee934ee, 0xe053f836, 0xea8332ed,
+    0xebcacff7, 0x48069fbc, 0xc02000d7, 0xd1ece8ed, 0x01c7a73a, 0xec4da793, 0x11e8224c, 0x5b41a054,
+    0x4bf4f6b5, 0x076cf93c, 0x770276b4, 0x57e978a6, 0x7e83bb30, 0xeacc7198, 0x7d27fcc4, 0x9fba0d3b,
+    0x5b9f4ae4, 0x21bfba63, 0x16df8ff0, 0x911c4e32, 0x2cefeae9, 0xa459831c, 0xe287d266, 0x927d04d3,
+    0x44e8b5a9, 0x73e88e4b, 0x82d29beb, 0x2176b9ac, 0xc2cd80cc, 0x214c3bd4, 0x5853b287, 0xc16f6fe4,
+    0xbcdea4e2, 0x88df9048, 0x88ebb5ef, 0x112cfc86, 0xb5961999, 0xcaecb590, 0x0222dc3e, 0x7f5786f7,
+    0xc6ce95a1, 0x553e34f0, 0xe8c706e7, 0xb7d76df4, 0xb8c23d2c, 0xaea99f18, 0x6e88c044, 0x7f432d59,
+    0x7311bcfc, 0x295c9495, 0x87ac33d8, 0x24c0e6e6, 0x380ac5af, 0x922ad99a, 0x2678ae6a, 0x6b20c2e8,
+    0x2057d8f4, 0xde8248fa, 0x5862ef51, 0x09cee09e, 0x91a8110e, 0x70e9c73d, 0xe625df40, 0x30a9fca2,
+    0x7e8697a5, 0x27348120, 0x5a74cfb5, 0xcc2968ab, 0xdd567936, 0xac1dee0f, 0x1ea610fd, 0x25d1708b,
+    0xd1bda54d, 0x6cde8521, 0xa37f72ed, 0xb101de93, 0x3778b90b, 0xa6138414, 0x0d236add, 0x51ee11ad,
+    0x2fd73595, 0x9911bb28, 0x5ab6cf17, 0x3cca14ac, 0x63e0aa5f, 0xcfb8e8e4, 0xf2816a8d, 0x6c3c6f65,
+    0xa353c625, 0x073ae9f4, 0x2ec66a05, 0x1ef13cae, 0x0677f5e4, 0x42a9e5ab, 0x6ef0aed1, 0x9d68b9af,
+    0x861bc7c2, 0x84df9345, 0x2acb62c9, 0x555ddb28, 0x17f9eec8, 0x60307f5c, 0xc0fe752f, 0xa0b478b1,
+    0x697c9e78, 0xaf9ea3e4, 0x84c111e9, 0x2514a30b, 0x32557dbd, 0x29acd158, 0x4e660704, 0x7c8a30aa,
+    0x146a147c, 0x2e6e0028, 0x699aebde, 0xa3521ca2, 0x5d3fcfcf, 0x275941e6, 0x99d76319, 0xbd5a03c1,
+    0x82ad1e95, 0x64a7a90d, 0x6e4921ff, 0x4bf3785a, 0x42ff4107, 0xb303114b, 0x8685457f, 0xc6c0f6a7,
+    0xcc065754, 0x808ea5cb, 0x422f3221, 0x52bf7e7e, 0x95cc304b, 0x2d680491, 0xee4e85b7, 0xa408b692,
+    0x14979633, 0x13578868, 0x5c82a760, 0x85731d7d, 0xc68eacc7, 0x287a0566, 0x01a4f89a, 0x446a94b3,
+    0x14821761, 0xa0aa407b, 0xd3c792fa, 0x74c7937e, 0x24c60915, 0x98e08c10, 0x16599f30, 0x4451cbb8,
+    0x52d5126d, 0x7c6fd4b4, 0xffa91693, 0x11422dc8, 0x0aae4373, 0xd8cc4672, 0xe5a31d77, 0x7080423a,
+    0xf33a0171, 0xee76e140, 0x8b55bdc7, 0x28f2546b, 0xb2e2fdbc, 0xc4165550, 0xfc673bef, 0x1cf61b49,
+    0xd15b728b, 0x2aeba534, 0x0c88bde5, 0xedb307a6, 0x3ad11e98, 0xad806501, 0xc9666de1, 0x031398f9,
+    0x7b0cd2eb, 0xe64b319d, 0x774a2f29, 0x8dcc5148, 0xd06ea8d8, 0xd11a2e6d, 0xa27422aa, 0x24abd5b4,
+    0xe7499b80, 0x8904f1e8, 0x6f4e6e54, 0x39ac8c5f, 0xda37614f, 0x4f267846, 0xae804334, 0x245ed080,
+    0xb03389a7, 0x593794dc, 0xc515ed3e, 0x81ecabb0, 0xe315220f, 0x7c36137d, 0xfc42372c, 0x2048280e,
+    0x24279b79, 0x823a299b, 0x00c792b8, 0x8e159376, 0xecafc48c, 0x0353b3f0, 0xbc5f58b5, 0x8cbd5d5d,
+    0x4e64316d, 0x8d50f499, 0xe346ea9e, 0xb69a29ac, 0xe0bf7c53, 0xa60ab527, 0x6351793f, 0x31a36b59,
+    0x2426ece9, 0xebd33960, 0x67352aad, 0x92f24eec, 0x3b5dee09, 0x6a0f7fb5, 0x52679e0f, 0xd6c8a28c,
+    0xb63921e4, 0x4926a779, 0x0b15a415, 0xd131aeb1, 0x34350582, 0x36403041, 0x04477c39, 0x9f143ebd,
+    0x5336861f, 0x743b12ac, 0xccb08dd9, 0xb997f5c8, 0xcb6b731b, 0x8f3c1907, 0x4c64b441, 0x3071edb5,
+    0x8b2af10f, 0x243d3885, 0x4f66ddc7, 0x45bfff13, 0xfb5f8f52, 0x9e3242ad, 0x42b270c9, 0x988c359c,
+    0x31bed231, 0x3488ea03, 0x8f0472c1, 0x3aef6fef, 0x0d406e53, 0xcb2ba272, 0x3a17d139, 0x131098e2,
+    0x9c922192, 0x3acad570, 0xdbff67ef, 0xef6eff2a, 0x6b1c53d9, 0x6bee8dd9, 0x5d432e2b, 0x82500b0f,
+    0x30c1fdae, 0xb4f405bf, 0xd3df935a, 0x8ea220b6, 0x81e9d085, 0x5d8817a4, 0xdebc40dd, 0xa830ff55,
+    0xd0a5fe9d, 0x9a7fa42a, 0xaddfbcf6, 0x53bee872, 0xa971a52a, 0x28d28442, 0xd8eee332, 0xab469c32,
+    0x30637aa1, 0x567c1fb2, 0x5942cdc2, 0x566bbb2b, 0xbffd4191, 0xae30da82, 0xbb1afb45, 0x4616859f,
+    0xe3a3edd8, 0x70b47008, 0xebba5ea5, 0x3d09e09a, 0xb8ac9f9d, 0x9b6171bc, 0x8f392269, 0x9080d644,
+    0xa02e54bd, 0xbcffe284, 0x66843239, 0x0ffdbb04, 0x13479a2e, 0x5c414eb5, 0x1396248a, 0xbdb091ef,
+    0x6974bd4e, 0xd467f0d0, 0x7d6472aa, 0xca344a02, 0x62f18907, 0xc2d7e85a, 0x780c5542, 0xf65ecff2,
+    0x1ecb07d2, 0x18d9f892, 0x9bbded20, 0xb22c17e8, 0xeb1037d1, 0x5b78eeaf, 0x1263b72c, 0xfa021e9e,
+    0xa67940b6, 0x96fe8c2d, 0xd839f5c3, 0x43dedd78, 0x1c56c8c8, 0xce2bfef4, 0xc8038636, 0xadda5774,
+    0x89e6df7e, 0x4fbb9962, 0xc487dc99, 0x13ab9314, 0xe0ab95d0, 0xdf64beee, 0x6b0b108e, 0xac47c4d9,
+    0x0680c122, 0xa537ab9a, 0xcf93f4e3, 0x23c200eb, 0x758c63e1, 0x57c4b461, 0xde0ef464, 0x3c546f41,
+    0x630fe075, 0x4a1744d3, 0xfd2426c5, 0xce6eaa3b, 0x27439cc9, 0x643452de, 0x832b62df, 0xc4b2801e,
+    0x446828f4, 0xda532cfc, 0x8a4d0649, 0xe7a5146f, 0x3311ef10, 0xf161e2b6, 0x9308fdd8, 0x9247602c,
+    0x20892f71, 0x31379f51, 0x4ba8dbe5, 0x090f6b03, 0x066dc1a7, 0xddeceb1c, 0xbe82ffb3, 0x2f115bc6,
+    0xc62c1fdb, 0x782ea903, 0xe90e6ae2, 0x72b7235f, 0xaadd2599, 0xa56d0554, 0x19c32625, 0x13704189,
+    0x37b70e47, 0x15336b96, 0x50407499, 0x1e04bb99, 0x89a90ac6, 0x6da30f1e, 0xf713c9cb, 0x46bfed5c,
+    0x88f8502f, 0x4790074c, 0x7dcf4dfb, 0x0b133c6d, 0xd2f6d4bd, 0x604dd110, 0x0f0b0352, 0xa78e2719,
+    0x01d4b141, 0xf64b3133, 0x3b814cd0, 0xdc96bab8, 0x6c8f13b7, 0x6e4bfe73, 0xddff0756, 0x66fe12f6,
+    0xc5b7f30c, 0xc3f51fac, 0x81275fc9, 0xea8603dd, 0x10c88d40, 0x3b7f171d, 0x7d0cc771, 0x6be22520,
+    0x2cf61f7a, 0x9f90ecfc, 0xf2d2c061, 0xc15ccc3c, 0xaede6f95, 0x237ff7d1, 0xf3a3d454, 0x7f1294ae,
+    0x09fde6dd, 0x5a8eb130, 0xa91b081b, 0xb6f7a116, 0x704f9d2a, 0x783cfaa3, 0x78cd1d92, 0xc18b78f8,
+    0xf9577640, 0x769d402a, 0xf8413a48, 0x27551a7f, 0xaf6ce59e, 0x524be80e, 0xa58f8f9f, 0x0adc764b,
+    0xa3cb0bc9, 0x59b440dc, 0xd8c9e581, 0x2ecf67ff, 0x27aab886, 0x870903d7, 0x68b51069, 0xbe088d31,
+    0xc82e9ecd, 0x56911498, 0xf1f5b39d, 0x7d036be5, 0x10126262, 0xfc8cd423, 0xc68d3dec, 0xf8b839d2,
+    0xa1f2b8e6, 0x41d8c714, 0x27ffe170, 0xcae45e96, 0xff5e9581, 0x8c25f799, 0x26717636, 0x3bb08b71,
+    0x1cd99000, 0x41f24066, 0x009ad2b1, 0x53f4ae16, 0x2e90614c, 0x974ce41a, 0xd4f2a609, 0x3c3a2d03,
+    0x6a6b145c, 0x6376d126, 0x981edb95, 0xcff1b076, 0xbce3d298, 0x85e32d4b, 0x7dcc4aaa, 0x061f387b,
+    0x883e880e, 0x0cb9da5c, 0x86bb6921, 0xc6a0f8b5, 0x18549b62, 0xfef91d8d, 0x1cf209a9, 0x19e7da05,
+    0xf7d260b3, 0x2176a51c, 0x8dfe4810, 0xdcb4fcbf, 0x5bdabbec, 0xc6a9433b, 0xcede8ecb, 0xa0252c04,
+    0xbf5acd9c, 0x5cd05c95, 0x02244984, 0x2547c207, 0xd99cb9c9, 0x16150210, 0x223a61d0, 0xafdf8967,
+    0x9c3cc513, 0xd85a539f, 0xa255136c, 0xa2000fd7, 0xf4e854c6, 0xb12ee01d, 0xa909b026, 0x7febcec9,
+    0x2071cd66, 0xe682a31a, 0x548cbd07, 0xa7e54ced, 0x444408af, 0xcbed2b76, 0x55755bc8, 0xbe4f6988,
+    0xe17ee562, 0xbaa07b4a, 0xe3151e5b, 0x7fe0e4df, 0x39384f55, 0xe7ad12c5, 0xe56d2fb8, 0xef6ea28d,
+    0x0eef2488, 0xac1fa722, 0x2321dd41, 0x9afef839, 0xaf5f14a9, 0x8178b0b8, 0x314c7774, 0xfa724019,
+    0x7fc19063, 0xd8da60d3, 0xdd5c0443, 0x104c4148, 0x318d5f0c, 0x34a0376b, 0xbb9f51c9, 0x0920f68a,
+    0x24709564, 0x77e50c22, 0x5ff01d54, 0x072fbd44, 0xae0b93a8, 0x4ce94bd9, 0xfb5782ef, 0x3f74f12d,
+    0x324d6558, 0xc0c6f397, 0xd32821e3, 0x5b54c0f4, 0x490ce2fe, 0x49c8629a, 0x4275d0d9, 0xfef7f3e2,
+    0x7926ce1c, 0xdea7dc15, 0x5235c951, 0x9fab96f6, 0x1ec5a2ea, 0x49cec869, 0xa8ee4b81, 0x051452ba,
+    0x26a6923f, 0x786e547d, 0xde4dadb5, 0x7ea07537, 0x386a0885, 0x81b8666f, 0x7dffa095, 0xbae37c11,
+    0xd3f64934, 0x190ae923, 0x74b9bf70, 0xd91a6805, 0xd64fe58c, 0x08f9262a, 0x3c02d6e0, 0x3798399e,
+    0x99fcf649, 0x84ff04a0, 0x0bef9d0e, 0x98451bb7, 0x736d1b4a, 0x2a55c1c1, 0xfec483a7, 0xc5e6cfa9,
+    0xe66543e7, 0x12a2ff06, 0x9fa0bfd0, 0x2cad7970, 0x18ec08aa, 0xf17a3272, 0xdb5555da, 0x1e8e496c,
+    0xe7d940b3, 0x5dc92c84, 0x24fdc593, 0xe102c0be, 0x9e48aa37, 0x22df65c2, 0xa25cde23, 0xcbea1d1f,
+    0x00000000,
+    0xb699b2d7, 0xedfe9b5f, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000011150372599265311570767859136324180752990208 */
+  { 0x00000000,
+    0x2862ef46, 0x17c06b32, 0x4c1376e0, 0x03e7cab2, 0x91704e51, 0x3d928158, 0x3bd77a07, 0xcb1b085d,
+    0x53def04c, 0x82e4ec2c, 0xa65675fb, 0xfaaf77ca, 0x9f2e4220, 0xb50439ef, 0x4dd412ef, 0x2dea4a44,
+    0x89396043, 0xd010e5cd, 0x90dd14aa, 0x3cb9a4c7, 0x70b4d61d, 0x44abde13, 0xec26c6df, 0x997b6e5b,
+    0x4f9c8724, 0xab145ab4, 0x8258bd37, 0x2abe46af, 0x755efddb, 0xc7736145, 0xd11e749c, 0xd03cf9f9,
+    0xd2262823, 0x4a8c1786, 0x57621cc0, 0x9fd3bbb1, 0xd4a1e6c9, 0x4ed87f30, 0x7f010d72, 0xa1a8064d,
+    0x5e5e1c3a, 0x6b7c26a4, 0x704c735e, 0x9ce4b8f6, 0x7c9efbc5, 0x388e111d, 0xd41cd52b, 0x73266eeb,
+    0x32b72bef, 0x3eaded83, 0x9961c8b6, 0x499857fb, 0xd86e3b0d, 0xd5f3b085, 0xc211180a, 0xd2ec029a,
+    0x15098764, 0x6aa2ecfe, 0x3d5dfbbf, 0x8ddfe3b8, 0x56636bbe, 0x6df511d5, 0x43885ad9, 0xecdb5c20,
+    0x1cc30677, 0xc85f8c93, 0xca8d6fc6, 0xec7103f5, 0x1d240bd5, 0xf8dfe655, 0x9c2378d9, 0x63d348a6,
+    0x28e75273, 0x23226c86, 0x08a7af52, 0xf9133a21, 0x7e84b1e0, 0x49d03c20, 0x6ee2f310, 0x49196439,
+    0xaf2532c1, 0x39a4fab5, 0x538c03ff, 0x596adc48, 0xe8667a71, 0x3d7407af, 0xff70733c, 0x08cb1c9a,
+    0xeb561b44, 0x59bd35ec, 0xe7aedf64, 0x809d3c5b, 0x8d759508, 0xe6731a0d, 0x72d389ff, 0xdc7155bd,
+    0x632abf05, 0xd91b0778, 0x1c1f54af, 0xead2aed8, 0x98d26b6a, 0x4b6eaba8, 0x41da41da, 0x3c94070e,
+    0xe82ff5e8, 0xc4c1fe38, 0x11b647d8, 0x710fc150, 0x28490fb6, 0x66b7af7f, 0xdf1b6058, 0x73853f0d,
+    0xe0697bc0, 0x62924944, 0xe923eb9f, 0xc66dc07e, 0xe8ed4856, 0x728ff76a, 0x0a480100, 0x0798b029,
+    0x6559a919, 0x8be5289f, 0x91dd9d19, 0xebcacfc5, 0xc27d39a9, 0xd71950a7, 0x92ff4f97, 0x658ac62c,
+    0xd5ce629f, 0x880bf42c, 0x716d84f0, 0xb5949326, 0xa8b8cc88, 0xa05e898b, 0x97f50acf, 0x8004ee00,
+    0xde0b703e, 0xfbc72212, 0x7c917f18, 0xf1a91aa6, 0x182e5ce1, 0x12c0254d, 0x8bb43692, 0xb8856f4c,
+    0x6bfaa03a, 0xcaf30123, 0xd03c60c3, 0x35dc1f4d, 0xe8b4a5df, 0x6434ba2b, 0x59b9cb69, 0x652f611c,
+    0x4e089cf0, 0xbbee3d90, 0x524563f0, 0x981fb036, 0xf29d4251, 0x757133af, 0x8086e253, 0xec319e7e,
+    0x893e3fcc, 0x41be9c2a, 0x2786772d, 0x629a79d9, 0x67ddf6e0, 0x7902e78d, 0xeb46b93c, 0x21c74094,
+    0x3de113ae, 0xb93bfe84, 0xc0c6f597, 0x85d62441, 0x81ad57b1, 0xab5d2633, 0xaf6fff26, 0xc1728c25,
+    0xc36138c4, 0x6928a650, 0x28c15239, 0xb6da9887, 0x05b083a9, 0xdd5fa6bb, 0xbed9e66b, 0xb167146e,
+    0x28d1fb95, 0xab7e02c1, 0x1474ada0, 0x0261fd6f, 0x851a7e64, 0xc7a497c4, 0x8fcfec09, 0x9d8c457c,
+    0x791ff775, 0x5a75b9ae, 0x65c8e927, 0x449834e5, 0x36fdfde1, 0x585151e2, 0x4d2c9f36, 0x1443d4ed,
+    0x5d1345be, 0xad24e37d, 0xd574f9ac, 0x55a747b4, 0x5db30356, 0xd34ea3ac, 0xf2451994, 0x82fc7cb4,
+    0x84659434, 0x6cfcad1a, 0x4788caa9, 0x8e296431, 0x870512fb, 0x338788f2, 0xb64b768f, 0x37ce7e77,
+    0x72b01fb1, 0x814d3ef0, 0xa82dcdeb, 0x910a7f46, 0x763583cf, 0x5988ac09, 0xffaa0c95, 0x0c884469,
+    0x1eda5912, 0x78f2041b, 0x0c39e7eb, 0x3540937f, 0x4616f083, 0x422a6984, 0x04015908, 0x287da0ef,
+    0xfbe44616, 0xd558e43d, 0x04914598, 0xee42e591, 0x3b3c33c5, 0x4573fcec, 0xbf77ba4a, 0x6b7d3360,
+    0x1be06671, 0xe0009697, 0xba9b211c, 0x8f8ee599, 0x915cf140, 0xd60ee099, 0x7ea6a1c2, 0xbd153414,
+    0x05c25975, 0x4ca03661, 0xcb5be4b5, 0xd89cbb1c, 0xcfee7885, 0xa76f41b7, 0x379c83b3, 0x2ec48cd7,
+    0x40336aa6, 0xf26352f4, 0x556396f3, 0xb6f22480, 0x1b0497bf, 0x47afe1b7, 0xbd9d3401, 0x1dfc45d0,
+    0xcf41eb5d, 0x377accda, 0x16838cd9, 0xe92c0fdc, 0xdfc076c4, 0x05865db3, 0xc1df6ac9, 0xaf9073b6,
+    0x441dfd5e, 0x63b88eb4, 0x19c40985, 0xa5195b7f, 0x2d1553c3, 0x7a1080a8, 0xe23d0677, 0x32d2db7e,
+    0x1484cad4, 0xca51082f, 0x94bc1e0e, 0x49a9f467, 0xe5cbc1d4, 0x3eec947d, 0x1763a29b, 0x7893220b,
+    0x9f8df482, 0x6aa0a458, 0x3b0f2a4c, 0x894a12bb, 0xac0ccb4d, 0x5a446bd6, 0x8358402f, 0xb076bca9,
+    0x31d7940d, 0x7632c66b, 0x0f5648cc, 0xa70143a3, 0x872034fb, 0xe5cb4c00, 0x771b2141, 0xa4cc16af,
+    0x05299688, 0x96651940, 0x986df64a, 0xb6a426ed, 0x46d3fddf, 0xfa015bf2, 0x47a9ebbe, 0xe90cebc6,
+    0x2f98a0af, 0xbb251908, 0x23be41c3, 0x66edf518, 0xbe696a98, 0x5892d3e6, 0xde30fbf8, 0xd00eeaca,
+    0x8b1f79a1, 0xf577ab20, 0x8484e54e, 0xfb93345a, 0x9e4e3385, 0x772860be, 0x212442f8, 0x302717d7,
+    0x27115ed5, 0x771f42a4, 0x77f51258, 0xa99d86d5, 0x2fe55a17, 0xd2c3069e, 0xae77d0dd, 0x4b8fd22e,
+    0xaff92251, 0x8688fc47, 0xaa297282, 0xcaf3ee5b, 0x87a6dfac, 0x5350fe5d, 0x1cf9c91b, 0x4f842173,
+    0x43ab73af, 0x53450a06, 0xb1846a13, 0x65d8c2c2, 0xc25eba1b, 0xb51cf418, 0x1a204b63, 0xccded959,
+    0x4ba20dec, 0xb84d9409, 0x79130df6, 0x99e161a8, 0x4a043d98, 0x4c2d90ee, 0x558f1d42, 0x37612aff,
+    0x4d43fdae, 0x3c0fd8ea, 0x30d2b89e, 0xb9412aec, 0xecb32294, 0x3b941384, 0x437dfac6, 0x28cac329,
+    0x1698fc40, 0x73e8b450, 0x99eeedf5, 0x0a469a7d, 0x3ce2a94c, 0x9684bef4, 0xa4577cab, 0x632a7bfa,
+    0x561b8e20, 0x36533858, 0x1514725a, 0x92e5515b, 0x116a83c2, 0x85778d02, 0x6055cb19, 0x414b2b88,
+    0xdbad731b, 0xdba990c5, 0xf975c64e, 0x8c0ed2a7, 0x0fdb76e4, 0x6072e04f, 0xf3734a81, 0xecf6b7a9,
+    0x69e718e7, 0x1cfe7e75, 0xe432ebc5, 0xa119b6fb, 0x9c5bd57c, 0x1799af20, 0x94aedef5, 0x2f50bec7,
+    0x9db18560, 0xf1b1ea8e, 0xbde04fc4, 0x1eff4e7a, 0x5039ea96, 0x14dc6d61, 0x64572619, 0x4c9ff874,
+    0x9b403110, 0x8e5a59af, 0xb887475b, 0xd8c881a7, 0xe2ddb5b4, 0xc4e49454, 0xa484a904, 0x0adb6ca7,
+    0x7fa1821d, 0x5cb66b84, 0xfcb36f27, 0x413eb2f4, 0x7b02a710, 0xce30134c, 0x92c3e8cd, 0xe360a03e,
+    0xfc9e17d7, 0x164acc11, 0xe79d3fff, 0xfaa1e074, 0x2de8af00, 0x62dc7ba6, 0x7dc967d7, 0xd74d92d1,
+    0x2f290c3e, 0x3894dd8f, 0xffbf407f, 0x84488f7a, 0x5b3ab2b9, 0x286c9c37, 0xe71746d2, 0xfcae6ef1,
+    0x5d65b962, 0xb2368b74, 0x9520cc25, 0x3850cd72, 0x44cdfe0f, 0x61e1e44f, 0xa2854905, 0x800e48d8,
+    0x6faae773, 0xb5119843, 0x645d1cef, 0x02e04fa7, 0xd9aa50e8, 0x3a3d76ca, 0x666ff4ae, 0x6d5bab18,
+    0x4b1f075d, 0x51423d70, 0x546e8049, 0xf20457f6, 0x4d621196, 0x9e4a9a13, 0x232f5fbe, 0xc8e5dbfa,
+    0x4d6e2223, 0x42843b31, 0xeba9d3db, 0x8ce10ff8, 0xd35746cd, 0x7adb5bb2, 0x14441bd9, 0x8e88003a,
+    0x8a66efa1, 0x87b87643, 0x8a7488f0, 0xf9cebdb6, 0x42df443c, 0xe7207986, 0xcec3f9ed, 0x2b46af43,
+    0xf8d8eeb1, 0xbf41422f, 0xfd0778f8, 0x55451322, 0x042d4cfb, 0x60b069be, 0x2fac5e25, 0x80695480,
+    0xd8936ee8, 0x8c5dcef4, 0x835c3eeb, 0xcdabb914, 0xf6e77cf1, 0x7ae561e7, 0x6a9eaa05, 0x2a240fac,
+    0xb30dc6af, 0x869919c8, 0xfa49e300, 0xa5b6159c, 0x08044756, 0x44641d7c, 0x6cbac4c2, 0x760278fc,
+    0x5db010ac, 0x201925be, 0x042c5e43, 0xdbf50af1, 0x14d85c19, 0x58463090, 0x0240e209, 0x33b38c8e,
+    0x93386937, 0x82beb483, 0x8316b0d2, 0xb8d34f00, 0x7d0ea48a, 0x80911392, 0xd35d272e, 0x4d5b4017,
+    0xd540563b, 0x070b38f0, 0x95ef96d3, 0x165e4351, 0x4487137b, 0x84b6ada7, 0x75f2ee9f, 0xe2092936,
+    0xb53a0769, 0x8bc935cd, 0xb2facc4a, 0xa2135eaa, 0x744de515, 0xca95b53e, 0xc0de0f6c, 0xda3013be,
+    0xa59676ce, 0x1ba9aa37, 0x5396eb91, 0x5cbd1634, 0x69e4c09a, 0x3ff4a181, 0x1d44c2b3, 0x994bafae,
+    0x7d18c22c, 0x4088c67c, 0x6aa9798c, 0x67ec40db, 0xa4bad986, 0x5f6b45d2, 0xa10cd7d4, 0x40ba1c68,
+    0x8bb304b1, 0x97f273c9, 0xd45ef589, 0xe12e9f83, 0xb7125046, 0x0f8fe178, 0x38ad4619, 0xd212ecf8,
+    0x6ca73ae3, 0xd5620de9, 0x0deed0a3, 0x9439d754, 0x37349e30, 0xc4423059, 0x1e8f3f1e, 0xecfcd77d,
+    0xfe0d4301, 0x7f192303, 0x1a66cfb8, 0xee359987, 0xa7bc6632, 0xa951512f, 0xaa65eeb0, 0x33ef76bd,
+    0x3fd1c29a, 0x15c530d0, 0x6d8d2bf2, 0x39349aae, 0x0aa3e1ff, 0xe8e15662, 0x5bbcea60, 0x2fb7c42d,
+    0x70348d31, 0xdf6d05dd, 0xa816e9c0, 0x12c2ea9a, 0xdd4c55f2, 0x8be54d23, 0xf75b568a, 0xbd3083b9,
+    0x43e37fd7, 0x118fdcbb, 0x2462167e, 0x65c551df, 0x0f1db810, 0xf6713997, 0x3b3e43dd, 0xcf5bf47b,
+    0xcd0b7d85, 0x08f2eb42, 0x0a6711f9, 0xf5dd03c7, 0xac1e54bc, 0x730962d5, 0xad257ffa, 0xd18f03f2,
+    0x3b3e663e, 0xd043f1f8, 0xbebd0ebb, 0x315979bf, 0x81f7096c, 0xa3e439f2, 0xbe77f0fd, 0xd75c659d,
+    0xc312620e, 0x142444ee, 0x1594fcd7, 0x3a9523a0, 0x4c52a575, 0x0e48c797, 0x50ce73a5, 0x87f22a73,
+    0x6a0d821b, 0x889b9754, 0x9af7eb51, 0xf50ee3b3, 0xadfc87b1, 0x9c9e291c, 0x5a24b5db, 0xf07daa49,
+    0x1afd0004, 0xd21b6e90, 0x326b59a4, 0xd0d9e2b3, 0x187ad320, 0x605f8cb6, 0xe3e49d59, 0x42975386,
+    0x281bf68f, 0xf4d00a80, 0xc888e9d6, 0x1d29f446, 0x4356f839, 0x29f3d3f9, 0xdea42753, 0x699cb2d7,
+    0x701cb16a, 0xc274c0c4, 0x26985e60, 0xfdc52245, 0x6a2909e7, 0xde9017ec, 0xae6fd7ca, 0x17ff87df,
+    0x82c8cdb2, 0xa642f684, 0x4c7392f0, 0x47384e48, 0x3c0148d4, 0x0a8b7a9f, 0x3066ae47, 0x24b2751c,
+    0xdc798ff5, 0x110fd7be, 0xa3376b5a, 0x24a1c565, 0xac185ffa, 0x14c58bd8, 0xeb302586, 0x18939a4a,
+    0xfb75c171, 0x2a087c6b, 0x45168ff1, 0xcd6bebc0, 0xb908637e, 0xe1ce2ff5, 0xa2b793e7, 0x42134976,
+    0x0d19f4a4, 0xaea6b718, 0x0c3e278d, 0xaeabecf7, 0xff9a0074, 0x16ceb0ef, 0xda7fbd46, 0x9c46e859,
+    0x5eb59d60, 0xdc75efde, 0xf064b4ed, 0x4f4dbb6b, 0x26f7df18, 0xf1788f02, 0xd585adfb, 0x6d751f96,
+    0xe13580ef, 0x830a3380, 0x252cd86e, 0x6797b6ae, 0xe0d8e030, 0x467083fe, 0xb9cdddc4, 0x203323dd,
+    0xfe447829, 0x98be9e0a, 0x39be5d1c, 0xc9f6fb1f, 0xeac617b8, 0xb735b27f, 0x50c6ffbd, 0x5e3fae6a,
+    0xbd1a7d2a, 0xe294c35e, 0x2779daba, 0xc5c841d4, 0xc492d769, 0xc18dc220, 0x3ecb74b8, 0xd029960c,
+    0x8deb2d03, 0xde475e63, 0xbdbc825f, 0x6d19720a, 0xe04fb3a3, 0x3ec82a0d, 0x7c5d64a4, 0xc9a57b57,
+    0x1c6d748b, 0x99e8f81e, 0xdfa00309, 0x089fb78f, 0x18438380, 0x6a6091f0, 0xba96dfcc, 0x128df54f,
+    0xde3d3139, 0xc3fe357d, 0xfaae4768, 0x5e450f51, 0xcd0f377b, 0x7bb98d76, 0x61dd8480, 0xef428e67,
+    0x12fa2e25, 0xea1a40d4, 0x5311bf5a, 0x124fc458, 0x5c4f85ee, 0xfc4b1af6, 0x5da19490, 0x028053eb,
+    0x459805f1, 0x2491100d, 0xa3823afa, 0x827bede9, 0xe3e6be9b, 0x37bd19dc, 0xdd6dd5b3, 0x706843dc,
+    0xa73866c1, 0xa9d34af6, 0x881944dc, 0x36273959, 0xd1618cde, 0xdd7c9846, 0x8925d54c, 0x04961768,
+    0xe4797b97, 0xc5765288, 0x7778210c, 0xb55a3d97, 0xc2b57838, 0xfe98e0c2, 0x84a2f758, 0xddbc9b8d,
+    0x53233898, 0xc3334fbd, 0x5def57ae, 0x6d8d7c2b, 0xbbb7fe9c, 0x18ff6f73, 0x12814d49, 0xae809bd2,
+    0x49b02746, 0x069f6a05, 0xf53b09c4, 0x0c19f6c9, 0xd07abf3a, 0x9f995684, 0xb8863377, 0xc7036fa7,
+    0x32ffdf45, 0x451e886e, 0x7bc8bb8d, 0x9f05d26e, 0xf323b7c5, 0x8bd80437, 0x422bbe87, 0x2bfa1132,
+    0xc95d5143, 0xd243e2ed, 0x8bcc001b, 0x81245cc4, 0xd90b1173, 0xc1ac8ed5, 0x6775aeee, 0x752b71af,
+    0xbd1afeee, 0x6a28c40e, 0xe936de5b, 0xcffd8a7c, 0xa6e3ba9a, 0x1e940ef4, 0x15e582c7, 0x3eaa398f,
+    0x4eadd430, 0xf3679a35, 0x92f7e79e, 0x301f0c28, 0x6b058c0b, 0x13086498, 0xe29d0a0b, 0x0fc70aa1,
+    0xe7f5ec0c, 0x2ad3d20c, 0x700c8a6f, 0x008e096a, 0x829ef511, 0x2a71c4fe, 0xfabd2bfd, 0xb6cdd31e,
+    0x4eecd76d, 0x1af15eb0, 0x362d5dc7, 0x548a693e, 0x8dd9c3ac, 0xa1df5f36, 0x88b78f7a, 0x80143b67,
+    0x72070e2e, 0x8316656c, 0x77089e4c, 0x4ac35f7a, 0x9fbaece7, 0x76d2ad98, 0xa0e87e33, 0x6617fd82,
+    0xba903eef, 0x8dede63c, 0xb2bf778b, 0x2898cb0a, 0x8f9f549e, 0x2886d2fe, 0x7281def6, 0xe788b1b5,
+    0xeb20afa6, 0x2dc8bfba, 0x7959a749, 0x15db116c, 0x15fe65af, 0x565ad18a, 0x95cbf717, 0x30ef6cbd,
+    0x514d8668, 0x5dcec31d, 0x3d9c0276, 0x1edbcdee, 0xf63b819c, 0x885f8670, 0x762251be, 0xc73a2c0c,
+    0x5ed6e919, 0xc3851e3f, 0x052cfb17, 0x3133ea83, 0x425ad658, 0xcfe330ec, 0xe27f149d, 0xae45d03f,
+    0x3e1498f6, 0x05e7d764, 0xbc8bd11e, 0xbe529588, 0xcc5d094b, 0xd5b3cc2c, 0x8868e318, 0x736119a3,
+    0x0cde5d35, 0x4f2b8fb1, 0x9626f7e8, 0xd3130c1e, 0x265e98cc, 0x4cb8ce9f, 0xae85d016, 0xfc832a48,
+    0x035b105c, 0x92a55000, 0xb073bc12, 0x8709c924, 0xd02e866f, 0x77231d71, 0x8c6ea4f7, 0xc7524c94,
+    0x3df6ded7, 0xba450845, 0x33e2b52c, 0x455830ac, 0xd953031b, 0x26b8e822, 0x4243a289, 0x558cc172,
+    0xf23b08e8, 0xe781e85a, 0xaca05502, 0x40106b87, 0x9bb6a745, 0xd44d27ad, 0x1a6c4037, 0x517504b0,
+    0x10513eb8, 0x01a9b654, 0xbbedee47, 0x9fd27d57, 0x0857c05e, 0x39724be3, 0x8b2d0fe0, 0xc50b2f1e,
+    0x16950ba4, 0x00870107, 0x3cffd285, 0x888f32bf, 0x7304612b, 0x9312347f, 0x09f1201c, 0x8f8b5f2a,
+    0x0af2bfd0, 0x7d08fc03, 0x97833766, 0x3c64f7c2, 0xd1dca25f, 0x89ab552a, 0x924a3abb, 0x73cc7f28,
+    0x6c1f4625, 0x064c4a12, 0xceefe65d, 0x1dec966e, 0xc23adb3f, 0xd7653143, 0x5f17a2d2, 0x7e1697e0,
+    0x44b23829, 0x3791a4db, 0x88a6492f, 0xc72dc9fb, 0x4807842a, 0x8a3701f4, 0x7180125b, 0x99214a05,
+    0x831c3765, 0x7737fbce, 0xd19b7e9b, 0x29bd6c43, 0x5d0ef3e3, 0x6dc5cd9a, 0x9e49dd3e, 0x6ddaeca7,
+    0x7ff567e9, 0x70004c12, 0x29df198e, 0x27580b95, 0x6d199431, 0x33420071, 0xb900d550, 0x364e978e,
+    0xd4b80cce, 0xe627032f, 0x3e2860a8, 0x06d4b3db, 0xe6854bda, 0xcdf45a96, 0x5abeccec, 0x933b49d2,
+    0x077f857b, 0x330f5bb5, 0xdcf0aec3, 0x75cfb149, 0x1ec4a36e, 0x6053ad60, 0x8a92a767, 0x99d5f83c,
+    0x5ce8f798, 0xa103eb80, 0x2a7c2467, 0x52f97a6d, 0x9be60b10, 0x9317a2bb, 0xd22122b1, 0xa0583f72,
+    0x77b69b67, 0xce10c4f4, 0x5a7e5054, 0x64448aef, 0x380fccb3, 0x3317c061, 0x1f04e249, 0xa18ee730,
+    0x00000000,
+    0xdb4cd96b, 0xf6ff4daf, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000005575186299632655785383929568162090376495104 */
+  { 0x00000000,
+    0xe66db108, 0x4fa90f41, 0x40c783fb, 0x9e80be29, 0x82dc33a3, 0x1b879a9b, 0xa6ec6ac6, 0x477aa82a,
+    0x8e08debb, 0x09b5d92c, 0xcbe09120, 0xc1741686, 0x38ba9334, 0x474181ce, 0x60f2f658, 0x858e33d3,
+    0x5bd758e5, 0x1b17dca9, 0x8a44dd21, 0x6edc8be1, 0xd97aabe8, 0x3eb2953d, 0x575569db, 0x2df41d26,
+    0xd031d509, 0x475221d7, 0x71bf5bf2, 0x9714aa77, 0xb89becf6, 0xc9d7b9a2, 0x69c079d7, 0x64a6cb3d,
+    0xe40d0c3d, 0xfb999734, 0xbe400417, 0x4490627e, 0x7f8759e7, 0x8db96ac1, 0xf2cd402f, 0xfcf39413,
+    0xf1e781bf, 0xceca7991, 0x84ddc0ce, 0x55ba8d68, 0x6ea03a46, 0x1fb31566, 0xb3054f85, 0xab6f813c,
+    0xd4fb9a4d, 0x31f2464a, 0xff5c8946, 0x6fe98741, 0x85c89f5b, 0x69ae8cfe, 0xe8bbfa48, 0x8426da76,
+    0xb15352dd, 0x83493ae0, 0x10fdbb9a, 0x9e78ff93, 0xa43c2bcc, 0x7879a38e, 0x2aca8fbf, 0xc6051ba1,
+    0xddbb2b3e, 0x167b1d33, 0xe81da9e0, 0x3ea7dc53, 0xbbd18029, 0xca0580f5, 0x261ae75b, 0x1297c445,
+    0x79f1353e, 0x5dd530c7, 0x680fefdb, 0x46aa6853, 0xb0fba873, 0x59db8395, 0xbf5fede2, 0xc4b71f25,
+    0x776de03f, 0xabd6b959, 0x263eea7e, 0xcc335ce6, 0x1cc3ec64, 0x8288fece, 0x5f628fd1, 0x59b3a5c6,
+    0xc6948e0b, 0xc2e75864, 0xeeba093f, 0x8cb81722, 0x44fca522, 0xa0351eae, 0xe189bda3, 0x66023a7c,
+    0x63664ea8, 0x32677fb3, 0x98e9954d, 0xcb17c577, 0x0a793f65, 0x2c851c17, 0xe5ce0110, 0x3ced4e73,
+    0x78ec6474, 0x984aca4f, 0x571f66d5, 0x663ddcaf, 0xa89bfed9, 0x9c715887, 0x094188a3, 0xf3bc4f44,
+    0x8042d280, 0x775587de, 0x9adfd662, 0x9a7467d6, 0xa8674a65, 0xce5ba219, 0x75441cb7, 0x33c5d018,
+    0x5b748737, 0x1d33d701, 0x02f1b5a5, 0x77cccfd8, 0xea6733da, 0xcc8e8ddb, 0x6a30986d, 0x28d78aca,
+    0xef443563, 0x80f6bce9, 0x362a5a81, 0xd62137d8, 0x4cf58e59, 0xfdea3bf4, 0xff2d902e, 0xd64b3079,
+    0x2c58c120, 0x01ecd0f8, 0x430eb084, 0x6073694c, 0x5bd4a845, 0x27a3bbbc, 0x80611a06, 0xafadd56f,
+    0x06fb8e4a, 0x84aa2556, 0x9855dd2f, 0xb14f187c, 0xb4369a63, 0x20d37ce5, 0x3185fed1, 0xa89cfb92,
+    0xd213f125, 0x95f40b8c, 0x36f11fe6, 0x6960063c, 0xe302650c, 0x6b710a52, 0xdbc6587f, 0xe11f4ab5,
+    0x23853160, 0xa9e37493, 0xc526f84f, 0xab5e5320, 0x292321d6, 0x453da140, 0x8ffac84a, 0xbb9fd536,
+    0x5a658987, 0xd07ca831, 0x8a82b678, 0x6000cc64, 0x51ec7699, 0x40dcab9b, 0x166726e2, 0x4994e025,
+    0xb57c7b3f, 0xbe4a034a, 0xe2d8cfbe, 0x6abb6f0c, 0xa6d597e4, 0xd0c7b90a, 0x80f45b21, 0x617b557f,
+    0xa6929540, 0x33d281a0, 0xaa0a3225, 0x61405335, 0x61306189, 0x371f692f, 0xd2097577, 0xbf3a4038,
+    0xac5c3636, 0xe4829235, 0x0459a7cd, 0xeed5c86b, 0xd493c656, 0x00da2f68, 0x1f89c4d1, 0x8b22b166,
+    0xe7570d0c, 0x033badbf, 0x162b34ce, 0xf34a818f, 0x1744ceb0, 0x3c5c558e, 0xcba5b34f, 0xc0856637,
+    0x5afd8c18, 0xe8afdc14, 0x0a0e3af8, 0x75e2dd63, 0xe77eeec6, 0x10c9e7d8, 0x4ad28283, 0x3a728faa,
+    0x60ef24e1, 0x2d22752c, 0xd164a545, 0x9b55a7f0, 0x6765b018, 0xaaeef571, 0xcd4c8740, 0xe72ba7a4,
+    0x0e96218d, 0x76547355, 0x9f40a411, 0xcba5dae6, 0xb34557ca, 0x2d77ff95, 0x5db8b1b9, 0xe6ad918d,
+    0x2ea1fb92, 0xa5ff3baa, 0x814e7e15, 0xd558f53f, 0xebee5b00, 0x6071979d, 0x59001c7e, 0x52daeb88,
+    0xf0b042be, 0xa8154702, 0xc5154682, 0x7677167b, 0xf373c4cf, 0xbc8e96f6, 0x3b981a66, 0x7f45baf2,
+    0xefac9b2b, 0x1aa1405b, 0x38b2d178, 0xeb7905ec, 0xa327040c, 0xbe2f308a, 0x2d4b3dd9, 0x8c5d7c96,
+    0xca39688b, 0xd5722676, 0x83eebd88, 0x6eb026be, 0x81a85403, 0x60daa55c, 0xcc642f93, 0xcf536f63,
+    0x458a48a2, 0x063f2421, 0x0708f59a, 0x36a38d15, 0x93f802fd, 0xbc8f60e2, 0xe1fc3d0e, 0xf5088e1b,
+    0x12652d02, 0xeb537251, 0xa76c3d17, 0xec3b2760, 0x42900e16, 0xa7f757f8, 0xc5bfe0e6, 0x9ccc8373,
+    0xd1db0693, 0xabbdd5ba, 0x93744c8e, 0xde4c67e8, 0x6f12f53d, 0xfcb69949, 0xb3cf96a8, 0x3d831407,
+    0xff00c71f, 0x459089b8, 0x1ac82973, 0x18965ede, 0xff6dbeb5, 0x79bb901d, 0x2fa7d95f, 0x1f483918,
+    0xf97e7a2c, 0xd80b0b60, 0x5e064718, 0xbe007eb6, 0x25452a4f, 0x8f037b7b, 0x9d159042, 0x791940fe,
+    0x6df11c99, 0x2d7e1c15, 0x5f026f3e, 0x9a84849e, 0x8cac8a65, 0x54b2d89f, 0x6bfad0d6, 0xdc4ebdbc,
+    0x1c333d1b, 0x322f4d74, 0xa5d77859, 0x4c52ae70, 0x2e96354e, 0x0eef18ee, 0x7a255f8c, 0x0ab41d87,
+    0x67fe2690, 0x17f55091, 0xddd8084a, 0xdcd41a53, 0x693b6687, 0x03fcbd9f, 0xb03c1d1c, 0x96f0e8ee,
+    0x41dbbdd8, 0x96bc1569, 0x0fc203d2, 0x68bb9e4a, 0x317d3b15, 0xa233959d, 0x252eb206, 0x03aad098,
+    0x3bcb4cc1, 0x9d8f070c, 0xa738f3de, 0x3d3c9d57, 0x4f77d672, 0xd3ec9138, 0x3bb26558, 0xa3a74e47,
+    0x9a87399f, 0xf12e6a5b, 0x0819999a, 0xfb0dbe5d, 0xd916cb1c, 0x6042ae6d, 0x6781009d, 0xa54574d2,
+    0x31e7fb32, 0xee745762, 0x0288c069, 0x67a56962, 0xd3c39980, 0x93ec0afd, 0xecf45b1c, 0x30b90b9f,
+    0x6a286bbc, 0x2743bb37, 0x1a0aa667, 0x864badc7, 0xc17592fe, 0x1342248b, 0x872b0bf7, 0x17dc1438,
+    0x466e4eb4, 0x397b5008, 0x1cf1b4e4, 0xd7767d18, 0x2cf26fdc, 0xf4445440, 0xfd5e4e9e, 0xaa389810,
+    0x5ee16464, 0x3c07744a, 0xdc9ebe59, 0x214fe317, 0x8cfb2b8f, 0x6e33ad04, 0x5efbefae, 0xdfe2b68d,
+    0xb8b475ca, 0x0ec40dab, 0x6c6eb157, 0xed7bcc94, 0x36978feb, 0x72587ee2, 0x5d6af0ac, 0x16194577,
+    0xdfab72c3, 0x4a8f647f, 0xc4a78405, 0x64263bc5, 0x0d7bf4ab, 0x3c117e60, 0xca01d7e7, 0xdf6ff42c,
+    0xefef9c59, 0xda4552e7, 0x92830c5e, 0x974ec7b9, 0x8b67886b, 0x647bc749, 0x94825157, 0x0a5926c8,
+    0x7afdef9c, 0x15d51931, 0x5d0b1959, 0x34466cda, 0x0f716e86, 0xd71a58bd, 0x594b9b92, 0xa3f0b726,
+    0x1cddfd96, 0xae1d3ac6, 0x025d0e73, 0x43883072, 0x50adb9ff, 0xd14b1103, 0x23100d55, 0x6ec7cf62,
+    0x04fbcccf, 0x9ec5094c, 0x75be2385, 0x0eaeec57, 0xb042081b, 0x85edc2aa, 0x56a04daf, 0xae5a5068,
+    0x6e27b40e, 0x2e3b3fd8, 0x4053acc6, 0xf59dcca5, 0xaed28930, 0x5de7c6b3, 0x823dccf4, 0xed75e012,
+    0x29191fff, 0xca287603, 0x7f97d21b, 0xf4e0d019, 0x21bc8251, 0x7363f51a, 0xd7255b5b, 0xfe35971e,
+    0x04d21cf5, 0x8c820238, 0xfb63f7a8, 0xec605d85, 0xd19affab, 0xa6afeb73, 0x82de2b2d, 0xe50d3faa,
+    0x426bb2f9, 0x3916f40b, 0x0d3d3611, 0x1b30310b, 0xe3322016, 0x6099a705, 0xd5278cca, 0xad98a089,
+    0x2b91a687, 0xc9fdf25a, 0xd5dd4993, 0x691163a8, 0x6088c767, 0x9344ba7f, 0x67a89330, 0x8c59894f,
+    0xd265767d, 0x1b14c642, 0x1b43cbac, 0x9e109b52, 0xfb6d995a, 0xf7288111, 0xe2329774, 0x4b5f2e75,
+    0x11695d8c, 0x25ad878c, 0xd1d8b26d, 0xc380096b, 0xb37a5b6b, 0x36beac3f, 0x924f6eec, 0x6273d313,
+    0xd50bc322, 0x30152287, 0x2a2fa9b5, 0x9a7a72f1, 0x5d8e6e39, 0x5b860955, 0xe5df3448, 0xfec3ca3b,
+    0xc4f3f4b9, 0xf97db031, 0x7de5b054, 0xb7c8ea52, 0x57fe4bd4, 0xb746bf12, 0x647e80c7, 0xdd57a144,
+    0xf03e981a, 0x3b8204d5, 0xaef58b16, 0x75358bd3, 0xf40de05b, 0x2f102cd1, 0x3c6a2d8c, 0xd62eaf3c,
+    0xb96586cc, 0x0ab240f3, 0xc82b767c, 0x5808eeee, 0x10af8dc6, 0x73c45f19, 0x8cf168d7, 0xbd75d5fa,
+    0x960dcf91, 0x44e0082d, 0x35798d36, 0x5818ec4d, 0xc9ee8778, 0x5f35a51f, 0xa3daee90, 0x0d0d7ac9,
+    0x50d9e089, 0xbe52441a, 0x4d51811b, 0x0bac4478, 0x375d0931, 0xe29c19e9, 0x3dafecd4, 0x9228f062,
+    0x8e6083b4, 0xb1db28a9, 0xdb5182ea, 0x6037ca7d, 0x0dcd573f, 0x604c0f40, 0xe43645da, 0xa8c09048,
+    0xf9fd7d32, 0x29de901f, 0x83925791, 0x9dc7d45e, 0x9701e26c, 0x6056bd36, 0xfb4ca71d, 0xe23ca68c,
+    0xdf955d4d, 0xe02e783a, 0x82f9b580, 0xef28e543, 0x4e81d9ab, 0xa69fdcad, 0x767b96fe, 0x918db851,
+    0x8eb29aaa, 0x9533fc34, 0x293a9ced, 0xbd475106, 0x85f56d5b, 0x360a1e64, 0xe2820a73, 0x732cf9a2,
+    0xcef8f10c, 0x06224ce7, 0xd727aa73, 0xee176477, 0x2f7897a4, 0xcba25ef5, 0xb16fc295, 0x144ae450,
+    0x1e90dd1f, 0xc098fb28, 0x5ffd5fab, 0x7d0a47f8, 0xe5341285, 0xfa07fc8c, 0x5e53fc52, 0xa252c764,
+    0x79f26772, 0x211168cf, 0x1ec75064, 0x718d537a, 0x6dc0ee6c, 0xeb277d91, 0x22bfbc0a, 0x71bfe13a,
+    0xc3eb6e1a, 0xe6f67322, 0x2249d447, 0x5c4844f6, 0xab610609, 0x1e341e36, 0x9033f919, 0xe9bf9973,
+    0x5fac872f, 0xbedb795c, 0xf816d0f9, 0xc22f11ac, 0xebe69a55, 0xd841b03c, 0x93be66d5, 0xef549770,
+    0x33f9ef87, 0xe04bff6f, 0xa4d05b2c, 0xc80a64a5, 0xfa879782, 0x16f483cc, 0xf5df038d, 0x8302aedd,
+    0x4a659e7a, 0x46d24e0a, 0x6967a6c8, 0xe372ea92, 0xa59e2b3f, 0x201e478b, 0x6ee09dfe, 0xa3378b40,
+    0x34e2969b, 0x0054ff08, 0x22b168a6, 0x3dd381b0, 0x31081f11, 0x0156c6ea, 0x1f3b0483, 0x78c43bee,
+    0xf469853d, 0x52657d6a, 0x96ee4648, 0x6a424155, 0x175872f2, 0x27b1626d, 0x6f972fa2, 0xfef60091,
+    0x86e9dbb4, 0x585c448f, 0x8ecbf9d5, 0x7ad13ac8, 0x978aa20a, 0x7b120be1, 0xb9e19a3e, 0x6523358d,
+    0xfae9aafe, 0x2d06112d, 0x59706f62, 0x5dadd5e0, 0xb68ce63b, 0xd79f8d59, 0x8aea1e73, 0xd83c6898,
+    0x17283994, 0xfaaabfb4, 0x39aa1f77, 0xf6bb5210, 0x783c9aba, 0xd73b3848, 0xad1554b1, 0x9c1287f9,
+    0xa01d4edc, 0xfa149fc9, 0xe12d91c7, 0xe3f19ece, 0x85a43c0c, 0x9ad61e26, 0xdd5645c2, 0x254535e8,
+    0x15822660, 0x96f45de2, 0x82a2630c, 0x8f7978cb, 0x841a46b9, 0xa93de6c0, 0xdf93ab75, 0x27ba411f,
+    0xa5c38cdc, 0x3113ee36, 0x2be916c0, 0xc7abf0c1, 0xdc343b22, 0x525bd604, 0x007ab0e6, 0xec09b0f5,
+    0x131547fc, 0x757669a1, 0xde0ede12, 0x80b147a5, 0xf540c59c, 0x9d84217d, 0x581f1f84, 0x5dc2ed99,
+    0x60c1bf2b, 0xc5dfe2f4, 0x40cab0e5, 0x512314e2, 0x1b7e2309, 0x36bea890, 0x88829aec, 0xab337b95,
+    0xabafa03a, 0x10dae44f, 0xd3500ebf, 0x20e8127d, 0x1ed65e1d, 0x2cda7e3a, 0x12175177, 0x009b2ee0,
+    0xd66aa7f4, 0x71764098, 0x28d16c7c, 0x02a3dc15, 0x96e33e0f, 0xfa6a87bb, 0x4698531b, 0xa8c3b632,
+    0xa342dd91, 0xe2e3c2c9, 0x612a376c, 0xbc291e11, 0xbf9a9e77, 0x95b4c91f, 0x4b83a4ce, 0x4a8112e4,
+    0xe7d7ff59, 0x94521a30, 0x66d9af34, 0xaa04cef4, 0x8e4a1ba2, 0x19b347ea, 0x938b8583, 0x2a7f1cf9,
+    0xdff4e046, 0x81f7de85, 0xd43219e6, 0x9ae8562e, 0xa2d583d0, 0x7b578711, 0x1b2ebbd5, 0x5801eeed,
+    0x009d3b9b, 0x0a1e8a9d, 0xf16b4fc2, 0x0fb68094, 0x653537f9, 0x27bfb56b, 0x2521bb34, 0x29397562,
+    0x005ae18d, 0xc39b2720, 0xce24600c, 0x54e8e9e5, 0xcc86d7f3, 0x4c0eefab, 0x099b532e, 0x9cb1bcf0,
+    0x680717a7, 0x85724994, 0xf10ea948, 0x70179917, 0x960c4e32, 0x3c891f90, 0xd2d9b172, 0x3a5ae61a,
+    0xe0575d88, 0x29f0111d, 0xfe0f95e1, 0x02ec81f4, 0x252db469, 0x92d8eaa1, 0xbeafa041, 0xbd9b8909,
+    0xc4e46cc5, 0xab537da3, 0x3f055932, 0x9973b02f, 0x0f641125, 0x9b2d81cc, 0x9c799c2c, 0x535d89da,
+    0x130f6a83, 0x67d22dfc, 0xadc2355f, 0xe309e294, 0x71fe6a6f, 0xb6d347a5, 0xadeaf73a, 0x1a682a8e,
+    0xfce33cda, 0x58bf4aa0, 0x55dedc4c, 0xe6264454, 0xf4088462, 0xf85994ce, 0xc12e5d10, 0xc45ac2f8,
+    0x9c1257bd, 0x8532463d, 0xbc220808, 0xcf0cbe49, 0x0e6727c0, 0x23afe0fd, 0x25891c88, 0xb2b28259,
+    0xfd067d57, 0x1b87d27c, 0x35af6392, 0x6f5c257b, 0x0d98ef3d, 0x68435ba8, 0x45541c1f, 0x3cef6d88,
+    0x96dd1ec9, 0xe030b121, 0xf71a6a5c, 0xff1acdcb, 0x3ddd01a2, 0xdd48d584, 0x600094c5, 0xb8745530,
+    0xf4ccfa6e, 0x4efe5427, 0x6df1eec0, 0x4de5b01b, 0x0d70a786, 0xa106edc6, 0xb0dc350a, 0x4a6badd1,
+    0x06e114d8, 0x18ae42c2, 0x2d12444b, 0xa22cf65d, 0xd4869478, 0xdc2f475f, 0xbc5fa397, 0x0ea7b087,
+    0xf0dd3704, 0x5547efbe, 0x32055b0f, 0x47a02cba, 0x1de18366, 0xa5f2347b, 0xf4e8bb96, 0x1b4c4add,
+    0x24dc652a, 0x5d788952, 0xcc01ea6c, 0xaaab3e35, 0x1a2e3a21, 0x884a25f3, 0x9ff929f1, 0x07bb1383,
+    0x43eaeb4f, 0xce742d1d, 0xb95ec032, 0xa5f05168, 0xae5849dc, 0x0055aaa3, 0x1b937529, 0xec23beea,
+    0x00a76b1c, 0xa55d003e, 0x4956788d, 0x18763966, 0x2ab15e00, 0xb9f6ad04, 0xd2e69974, 0xfce1e39b,
+    0xe2bac3c3, 0x4ef52f63, 0x3ee4afbd, 0xe122324d, 0x0fdab998, 0x276ce957, 0xf72385d7, 0xd08fba63,
+    0x003d6929, 0x6d01b285, 0xfadcc4a4, 0xc7f350cd, 0x7bf7ec8b, 0x1c6ecd5a, 0x299efc06, 0xccd42c7b,
+    0x14e119c7, 0xd5944a78, 0x6e3305b9, 0x7f8d772f, 0x2af6bec4, 0x1cec16e6, 0x06ed062b, 0xea2e48ed,
+    0xdbe35f55, 0xda615b85, 0xa88b61c3, 0xdd59c7bf, 0x829638e6, 0x4a19e9e4, 0xf95a8393, 0x32855df0,
+    0xdf97e386, 0xb5ec7586, 0x12e1b8c7, 0xcfe8d9b0, 0x4da9e2b5, 0x161d8029, 0xfcc416eb, 0xe3f584df,
+    0x93e323dc, 0x6f8a536a, 0xb3b8c0d3, 0xc91d26fe, 0x53143426, 0x9c245d30, 0x239e28fe, 0x944b1f0a,
+    0x7264f953, 0x8075ac6c, 0x874d756b, 0xfdd21197, 0x5c860a38, 0x0d186958, 0x3605a61a, 0x29045bd2,
+    0xc47fa1c7, 0x74869dc7, 0x7886f63f, 0x71a91699, 0x5a7fbb09, 0xc7998a24, 0x576f0dbc, 0x85e72402,
+    0x97c1b3e3, 0xe49c4f72, 0x28031728, 0x10f4f24d, 0x0e5eb8fe, 0x03101926, 0xa94df073, 0x85473d17,
+    0xef8c766a, 0xa89bd4c6, 0x0ef8eecf, 0x78644678, 0x7746d6b0, 0xecb120c9, 0x416b8839, 0xd20b7b90,
+    0x4b43fe34, 0x07853e7c, 0x020b2aaf, 0x8eb99e5f, 0x0cfcad13, 0xee16204e, 0x55f474b7, 0x58836f11,
+    0xfea76e07, 0x2fe3edd5, 0xa3174be3, 0x9bbc25c0, 0x1d09e77c, 0xe03e3444, 0x29f8f050, 0x8ac2eafc,
+    0x949546b1, 0x89be478e, 0xdee97043, 0x84d5d36a, 0x35af5b80, 0xc8511813, 0xd8138ede, 0x8fe9d58a,
+    0x022f56a9, 0x7a657054, 0x474a37cf, 0x0b3fa42b, 0x6554c153, 0x8f275410, 0xb9cfe2c8, 0xca7a27cf,
+    0x263226e0, 0x3253640a, 0x9a54f664, 0x71bf9221, 0xb8897933, 0xcc9a3df6, 0x432e1c52, 0x9de20b07,
+    0x6b3b52ba, 0x564106c6, 0x9559f3aa, 0xd0470db7, 0x25fe10b7, 0xc326f889, 0xfe4cb113, 0x94331a75,
+    0xc5be3a2a, 0xc3d09a2e, 0x7b9c94fc, 0x844ce653, 0x1a87ff71, 0xa2d73390, 0x73e7a95b, 0x8fcdb34c,
+    0x00000000,
+    0xeda66cb5, 0xfb7fa6d7, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000002787593149816327892691964784081045188247552 */
+  { 0x00000000,
+    0x74312419, 0x399b7d94, 0x5bb6f275, 0x273b2696, 0x394eac15, 0x1e8a6d98, 0x059bbf01, 0xc24c9644,
+    0x78aa35c1, 0x3d543a3d, 0x9cfd0337, 0x0e848ac9, 0x51bdc525, 0x47c0d6df, 0x7d078c8d, 0x382f7aa6,
+    0xbdba2a7a, 0xa153fcea, 0x3fdb74a0, 0xcfa7d5a3, 0x5eb20e74, 0x8a64183d, 0x5aa3fec4, 0xe484e66d,
+    0x36c0d849, 0x5cedc45e, 0xda45a338, 0x7e94ef40, 0x7929d501, 0x3b008d87, 0x8831d2d7, 0x53bb13bf,
+    0x392ab388, 0x088fdf64, 0xbfdd2e86, 0xfa8c1fae, 0x35deb065, 0xeea36e94, 0xef158abc, 0x66947e38,
+    0x54087ef8, 0x96ca60f7, 0x6ffde4b7, 0x0662dc78, 0xaa5dad29, 0x9364ff02, 0x04460d4b, 0x8b1dd9cc,
+    0xee8add6c, 0x4e3affac, 0xcdbc155b, 0x182c37ed, 0x071655f6, 0x17c9de0f, 0x59d801c2, 0xe9d77860,
+    0x7a435722, 0x98338048, 0xb3521d8d, 0x38d70dcd, 0x942db1e9, 0x30a8919c, 0xe26a8d28, 0x2d0d27b5,
+    0xb7fa31e7, 0x2df101cf, 0x548462bf, 0x03d74c09, 0xa8c21577, 0xbc076bcd, 0x1069aab7, 0x9a5e2a42,
+    0x04ebb616, 0x57d72d67, 0x78134cdd, 0x76eb9e82, 0x3f071d3d, 0xd60c66eb, 0xfc1bbed7, 0x8869d7c5,
+    0x6db0ad90, 0x32813b45, 0x3b6b1203, 0x857594b2, 0x541390b3, 0x76febd86, 0xed9fbe36, 0xc7611d05,
+    0x5a6555bc, 0xee7e0eb2, 0x47dee6a6, 0xbefe4e7d, 0xb5e88b85, 0x8451437e, 0xfc771565, 0x048402e5,
+    0x6e651891, 0xffbbdf27, 0xfe1feaf4, 0x87eb12aa, 0x1510f2d3, 0x713c3349, 0x9b69c3cc, 0xfada9ca7,
+    0x05df778a, 0xe03418e9, 0x899864da, 0x126eb578, 0x2f03ba9b, 0x15c9cea6, 0x61a08f66, 0xb9de634a,
+    0x79bb273c, 0xdfd3c887, 0x9f7e041d, 0x3bbac5f0, 0x5cfbc45a, 0xf4072e86, 0x2c66d0a4, 0x60b76910,
+    0x4083b8ba, 0xdd5740ba, 0x27b5b5c5, 0x40a47c23, 0x839753fc, 0x88a2cb1f, 0x9a7cab24, 0x020bfadf,
+    0x2935dbb4, 0x6f46c05a, 0x01ff170e, 0xb40b2fd5, 0x49ea3665, 0x4fbcf68f, 0x76e7e5f0, 0x2deb9e33,
+    0xaa7d775c, 0x90264c12, 0xaa211def, 0x426c22c2, 0x489cb2e6, 0xa6e4ca23, 0x6cce2058, 0x81c897ff,
+    0xfe8d8338, 0x3c25907a, 0x084920cf, 0xcd7d940a, 0xebdcdde3, 0x263a480e, 0xe2feff2d, 0x7516a55c,
+    0xcedbd39f, 0x574adc5d, 0xc58da2fc, 0xcaa8cf50, 0xe9f2b225, 0xd0bd3f90, 0xe4946239, 0x2c195318,
+    0x17f8394d, 0x1e0a87bc, 0x5b5e03fe, 0x79f7bd21, 0xae79fac2, 0xd2a18a9e, 0x61dd34d1, 0x4235fce4,
+    0xcf2f89d9, 0xdb102e9d, 0x22bb0fa7, 0x9e5c03c0, 0x3b9597a9, 0x7863da46, 0x540150a8, 0x2cffc8ce,
+    0xdc9d0d8c, 0x3be27022, 0x7c392895, 0xe0c67a4c, 0xbb9dad64, 0xac1273da, 0xa7da502f, 0x45b18d6d,
+    0xe1dc9614, 0x0709b387, 0x992fd0d9, 0x78e8cd15, 0xf17af96e, 0xdf291707, 0x9262435b, 0x7070112e,
+    0x005d08a7, 0x5016e07a, 0xd910be37, 0xcc9a1b43, 0x103f4170, 0xa15ee115, 0x63c2d477, 0x25198bd8,
+    0xaa72cec9, 0x4eecf535, 0xd77bb45e, 0x05308276, 0x8b72e303, 0xfc53b028, 0x4d84ed55, 0x9b4b758c,
+    0x9442200e, 0xbf7a4912, 0x066ef0d7, 0x8a6bee71, 0x046da9f7, 0x418aff14, 0x2ece6fc2, 0xd127e184,
+    0x4d9a7ba8, 0x9fc2fb15, 0x1e9bbc3b, 0x3ef8dc95, 0xd62f98f7, 0x30ff8df5, 0x73c0991d, 0x8215ab6c,
+    0xad583919, 0x853fb12c, 0x5eb5c35a, 0xbfef9f1c, 0x634b6b06, 0xc062623c, 0xcfb52a55, 0x5e29504b,
+    0x47649b1a, 0xee69181e, 0x1b45cde8, 0x36595197, 0x25794370, 0xfbd27e81, 0xf0f7a4f6, 0xa14f5f2b,
+    0x2fe74ae4, 0x35a54441, 0x2af08fcd, 0x2570653d, 0x05373a81, 0xf904da97, 0xeaccb642, 0x1b5a514b,
+    0x90203477, 0x5486c0aa, 0x314e9aa3, 0xaa93ed78, 0xc6515d29, 0xe6bef5dd, 0xc2720002, 0x0b58dad1,
+    0x061d2e8b, 0xb107eaee, 0x00216317, 0x415cde3c, 0xed535ace, 0xb765af2e, 0x2c5be919, 0xe0651b41,
+    0x884846bf, 0xa5e7c582, 0x00390e54, 0x94b29079, 0x856e17d3, 0x23c1869c, 0x0ce534b8, 0xd056aedc,
+    0xe09189ca, 0xa92ecebd, 0xc036e5f0, 0xd5b3ce0b, 0xbf4c5936, 0xf20fa587, 0x2ab1267c, 0x35db4c28,
+    0xf4daf0ca, 0x54b43959, 0xc4a087a2, 0xf66f02a3, 0xf3ee22f8, 0x26316831, 0x2fcc9e5b, 0x8ce24f97,
+    0x636448e7, 0x6537432b, 0xee9cf0c6, 0x3e6bb431, 0x0d87a886, 0x324adac4, 0xbb821028, 0xc82eb99f,
+    0x79de697d, 0xd68844f7, 0xdaabc46e, 0xa26237ef, 0xd28ddaeb, 0x2347f0af, 0xd5656427, 0x0f026695,
+    0xd683e04b, 0x63eaebdf, 0xedec86dc, 0x5a71f5c2, 0xd977dce5, 0xefe01cbb, 0xba5618c9, 0xdf0041d5,
+    0xac813ab3, 0x620c8be6, 0x16dcf7eb, 0x1cdd5707, 0xb767d0a4, 0xa2125b60, 0xa7c06fcd, 0xb4be2976,
+    0x3154ef44, 0x10bc4f39, 0x979035de, 0xabf2a358, 0x4ced560e, 0x18609e93, 0x1295e134, 0x265954ad,
+    0x2ea3f723, 0xc9db9300, 0xe4def7c0, 0x9ca1eb8e, 0x4b22c27f, 0x37b91bf4, 0x648db90a, 0xdcd90366,
+    0x9ed13d82, 0xd3da58cf, 0xa94b5066, 0xeaab5e7d, 0xc78f7edb, 0x69e61f14, 0xac178035, 0xea41800d,
+    0x202beaa7, 0xba977e86, 0x28d27b7f, 0x4a4af8f5, 0x9a34c98c, 0x2fa0e1ef, 0x63213242, 0xa0f25e40,
+    0xd367b71e, 0x90d030bd, 0xb3e17fdc, 0x5ba080d5, 0x0afb9c40, 0x6ebc2ea9, 0xfb8eff56, 0x30953adb,
+    0x0b642fe5, 0x56f30cba, 0x5d8f74b0, 0x1dc8bc0f, 0x0909cb2b, 0x3b58c8be, 0xc0c7d81d, 0x3dc91c77,
+    0x59d7d293, 0x847d8164, 0xe037ae3c, 0x75ab2338, 0x9338ab9a, 0xb1e4686d, 0x2f9127d7, 0x2f97a364,
+    0x375bb398, 0x78ebc1fd, 0xa1d76de9, 0xcf355f8b, 0x372c2139, 0x3e916b0d, 0x5c25bd07, 0x64110046,
+    0xfd9f6fee, 0x698b971d, 0xf38cc773, 0x67e1a700, 0x2777f452, 0xdcbe720b, 0xe0346a53, 0x1adb2f25,
+    0xb1e6a238, 0x300bb717, 0xbec690d0, 0x09a7ef8e, 0xc7efd6eb, 0xee9143fe, 0x71443b3b, 0x407671eb,
+    0xd7dd0935, 0x2b7bf0fb, 0xcc608cb7, 0xa3d7fe09, 0x135d464f, 0xdecfcc15, 0x88043325, 0x626944a4,
+    0x4a48ad34, 0x44bcb5fc, 0x2a4cd261, 0x0ba12435, 0x25f5def8, 0xeb240bd4, 0x7b7ac4eb, 0xf0d166f3,
+    0x7da1db87, 0x17b5bfb1, 0xa330ddfd, 0x436325e5, 0xdfa81f57, 0x870e1b15, 0xf9a3f4c5, 0x13b93dc7,
+    0xb2ad30a4, 0x8ba62c26, 0x3683be9a, 0x2738af6e, 0x36574591, 0x5885ca11, 0x9f139fc9, 0xe5c0fd34,
+    0xb056b9c6, 0x67f1c222, 0xc0864c66, 0xd1f2b9b1, 0x0583bb94, 0xd47c3099, 0xe96217a2, 0xf0a29c48,
+    0xd8716ebd, 0xa59adea2, 0x384f68b5, 0x7c5f2d1f, 0x6ee97ca9, 0x4159163c, 0x6bd078b6, 0x3948e641,
+    0x1b89d594, 0xa4c6a2a8, 0x30d66d5d, 0x3a457b5d, 0xfa38fa24, 0x165805ee, 0xafeeab7d, 0x63b3c766,
+    0x26917723, 0x39afd178, 0xcf3099f9, 0x552e9806, 0xef21aa91, 0xc12ca786, 0x93296ffd, 0x59e2c66c,
+    0xfb5fdb7f, 0x3976f991, 0x3f644e4e, 0x2b521b30, 0x44c4f4dd, 0x113fd28b, 0xebbb2396, 0x88a9db4a,
+    0x715dfe80, 0xb9288468, 0x526e2156, 0x0a8b0ec7, 0x3cb35a66, 0xd67aa397, 0xacb594f5, 0x1ad011a2,
+    0xffe77981, 0xfce02277, 0x5e012d66, 0x574e52f8, 0xd1972671, 0x6cd8a807, 0x7da7c80b, 0xf5e3fc7d,
+    0x7c8ea24b, 0xd70765af, 0x8a44d24a, 0x7aac2148, 0xf3baf65b, 0x88ed4051, 0xcfb87374, 0xbf770c65,
+    0x0b44510c, 0x43723053, 0xca437d97, 0x40a0eaa1, 0x978a344d, 0xadbf67d1, 0x9674be21, 0xddba0d5b,
+    0x8e973fac, 0x8f420ba1, 0x4626707b, 0x1cda691f, 0x5de308cf, 0xe43d5ed4, 0x0c5826e1, 0xb9d60685,
+    0x8aa32bc8, 0x80e16e17, 0xfaec6da0, 0x9d1436ba, 0x2b7b2aaa, 0x023fcf2d, 0x7a502804, 0x882b6158,
+    0x016efc47, 0xc4f41687, 0xd71531a6, 0x33a7b9ed, 0xcbe21dcc, 0xee51938f, 0x7a065e0c, 0x6e2cb56f,
+    0x6b8479ba, 0x65e9829d, 0x259c28cb, 0x8ad40495, 0x0e76e198, 0x738e6b26, 0xeca8d7ec, 0xd095af18,
+    0xe60b8648, 0x44746aeb, 0x931503a0, 0x58be8db6, 0x1b68e9ce, 0xf861fdf5, 0x190cfb57, 0x06ed0db7,
+    0xe41d374d, 0xd69bf9f6, 0x594389c2, 0x7e67655e, 0x4ebf7551, 0x20f5f85d, 0x19ed8943, 0x64bd6b38,
+    0x1c27bbf6, 0x7894b0cd, 0x4d5892ea, 0x133bf48b, 0x1fb05e4a, 0xd6208e0e, 0x51db75ec, 0x20d23bbb,
+    0x0178b8e8, 0x30518dbb, 0xec98708f, 0xe091a142, 0x43e36726, 0xd0ef8e16, 0x7f444fd3, 0x9109a161,
+    0xcda5633e, 0x71279e87, 0x2b185725, 0x1b735581, 0x34a8b2c4, 0xb434aea7, 0x214a21da, 0x3c170dd8,
+    0x99896ea7, 0x132cf091, 0x53b19424, 0xe4b4b6c9, 0xf89d05ef, 0x2af4e4ca, 0x9189f08e, 0xbde0ec5c,
+    0x283663f1, 0xf1d16020, 0xcf9f5fc6, 0x3220f21a, 0x7df2626e, 0x2e03dddf, 0x24aef61b, 0xc94f6ef6,
+    0xe397e3c5, 0x5a3f703d, 0x16c597a9, 0x61fef12e, 0x1dc61177, 0x9ac68489, 0x9e73a712, 0xe5e1249b,
+    0xfa725179, 0xacf99fb9, 0x821f2494, 0x2167b686, 0x7f0ef8fa, 0x7a9e9a17, 0x8d706af9, 0x46a31ddd,
+    0x6c59bf8d, 0x60bf4621, 0x6d74982b, 0xe0ad4fd7, 0x0cd722db, 0xd701f8f0, 0x9cd95eaf, 0xa8865cf3,
+    0x5552c028, 0x9fdd4776, 0x625d0912, 0xd58caa9c, 0x7f71b50e, 0xedb3347f, 0x3313f0bb, 0xf5ad8bf5,
+    0xe89f0d7c, 0x74b3a1b2, 0x075e89d4, 0x2beb61fc, 0x18860a5e, 0xf720ee20, 0xc3a59ff7, 0xbe1ffcf6,
+    0x7cf65be3, 0x74939787, 0x389b55f9, 0x464584cb, 0x9120ba57, 0x624e139f, 0x62f1e44c, 0xfbca47ce,
+    0x62b9a8f9, 0x3c838b29, 0x5bf0c9ce, 0xc918d5c1, 0xa42f8838, 0x63256bea, 0x07d6b467, 0x25c3f8f7,
+    0xb0dd8f0e, 0x41aa5bc5, 0x24f4ba8c, 0x60e01682, 0xfdc3f693, 0x9cae1377, 0x7c62f422, 0xc1876570,
+    0xc45d23bc, 0x7b70f1ba, 0xcbd3c305, 0x6481e538, 0x43832fb4, 0x16115ac5, 0x784e48d2, 0x234e531f,
+    0xf592ba9d, 0xd3459916, 0x16289302, 0x1452d790, 0x79ac1cc5, 0x354b13db, 0x9d3ce799, 0xcdc44406,
+    0xd678e312, 0xe9bc672d, 0xad9e6f80, 0x43a4ada2, 0x9224c250, 0x11accf4d, 0x3270c2a9, 0x8ae82693,
+    0x22a9bafe, 0x4f7a9d8c, 0x38a20014, 0x1aea15a9, 0x4d23f2b5, 0x07ecf6e4, 0xd175dc79, 0xc45e52c8,
+    0x9f2242dc, 0xc639a7d9, 0x28299983, 0x8d1fd00f, 0xe3160c68, 0xa2e60461, 0xb354d363, 0x4ae4b2fd,
+    0xd3bf42fd, 0xa44ed004, 0xeea42afb, 0x5e065d51, 0x54461578, 0xe6d367b0, 0xa7b4d0ff, 0xc4404526,
+    0x755444fb, 0xeb35f0e0, 0x9ab50dc6, 0x2acd7498, 0x8f6f5947, 0x43c47235, 0x047fe177, 0xfee719cc,
+    0x65ba9315, 0x329d8bc4, 0x20ad6275, 0xd2b9cbdf, 0x61cfdc22, 0x5f1c69a9, 0x85940db9, 0xcd14a4ef,
+    0xd9715fe8, 0x2c061a99, 0xaf50b234, 0x23e9bc6e, 0x53039e88, 0x48305b33, 0x821e83c9, 0x7ee9ce08,
+    0xac755d71, 0x42bc66cf, 0x785aa8d9, 0xbdfe4b49, 0x8ac21b1d, 0xceeac917, 0x8b5a9bed, 0x0c7d3610,
+    0xc1f2279a, 0x53111c1e, 0xa9bf58cd, 0x38bf5bd8, 0x29aff6b2, 0x51bfe0b8, 0x690e437e, 0xbc350b3e,
+    0xbeebc116, 0xbede9baf, 0x29683138, 0x25f54ec1, 0xedfedd83, 0xf77dc911, 0xc69b2563, 0x36b04271,
+    0x81adbbc3, 0x07aee6b2, 0x786e45ef, 0xfe077960, 0x2fc0398c, 0x3f3fc6ba, 0xa9e2d2b5, 0xdc346ca6,
+    0x7eec0385, 0x77d07dfc, 0x313e3738, 0xf9656fb4, 0xa90fd6b9, 0x7c7223b0, 0x43c6f48f, 0x4a8c4026,
+    0x9a7cc680, 0xe0938c45, 0x14816068, 0x746cb10e, 0x3c31ae35, 0xcffc3fe2, 0xb3296c26, 0x7a3aaf84,
+    0x1e80b0e2, 0x625aeb6a, 0xfcc41188, 0x11fcc8ad, 0x5ba74b7b, 0xa58391c5, 0x36b0f849, 0xb4a8d252,
+    0x2509f2ce, 0x891bf9ea, 0x7cf1eed7, 0x7679bbf2, 0xf5e5d32e, 0xec88179d, 0x1e57e435, 0xb949845a,
+    0x0290c721, 0x186a8426, 0xe0707774, 0xaa04d4c1, 0xf3094b6e, 0xa8dfca1d, 0x037d7f2e, 0xfa1324c7,
+    0x235caf3d, 0xb52a6493, 0x3851f128, 0xecad2435, 0x7e0add7f, 0x45d5e3e4, 0x128aed0f, 0xdb4bb29b,
+    0x512634e6, 0x099b087e, 0x4b3717d8, 0xf40b10aa, 0x5d97dc14, 0x57eeab6d, 0x844c42d3, 0x332f871e,
+    0xad202909, 0xaf71797b, 0x8848b30f, 0x2e5eded1, 0xad04c258, 0xe535dbde, 0xf2942966, 0xe2b11828,
+    0x9ab7dd6f, 0xec46df0d, 0x324cbc8d, 0xfd23af37, 0xb7917427, 0xf971d518, 0x9cd8ad46, 0x9657e6d7,
+    0x4185d01d, 0xb5338752, 0x38703130, 0xf2c543ab, 0xbf561195, 0x559c2398, 0x63a78e46, 0x42eac0cd,
+    0x37024d82, 0x44a7bab1, 0xc962bae3, 0xf6aa3c54, 0xfd9b0967, 0x26898f9b, 0x874adcff, 0x6da07a1e,
+    0x30c2e206, 0x7f555ba8, 0x56ae6308, 0xebca3c35, 0xa2499181, 0xa4c548ff, 0xadb6c11f, 0xe6e78adc,
+    0x66995e15, 0xd826e953, 0xf62eb7e0, 0x35d90a86, 0x97351556, 0xd369876d, 0x3898d017, 0x4729436e,
+    0xb110f8cc, 0x5d3c6b0d, 0x4f8d34f9, 0xa49a115f, 0xcbfc3058, 0xabfad9bc, 0xbc3fdb3b, 0x39015ae2,
+    0xbdc03be1, 0xdc8a8a4a, 0x300c09ad, 0x31d72022, 0x19c3971e, 0x47a8652e, 0xe6682abc, 0x18a423c1,
+    0x67b7ef79, 0x73832246, 0xc2c84623, 0x26aee735, 0x750a8ed5, 0xc499fee2, 0x94edb4cf, 0x80a768aa,
+    0xa7b5bb6e, 0x7a319546, 0x7c0f2d1e, 0x98bd302f, 0xdcc63fdf, 0xa7b012bd, 0x4dee52d9, 0xbeda2366,
+    0xb3d51b09, 0x27612941, 0xdde5bfb9, 0x3c824c13, 0xa75e543a, 0x2ea265d3, 0xf799f647, 0x8125ff3b,
+    0xad340092, 0x4492f82d, 0xd2805dd6, 0x13071a01, 0x99ed9bd3, 0x627bdeda, 0x33be0ee6, 0xcd02c61a,
+    0xdad56711, 0x09a31471, 0x7036b349, 0x25495098, 0x2b4408a8, 0xdc74c59a, 0x6bd35a36, 0xd265d7d9,
+    0x9e34e83a, 0x11c163e4, 0x8fafbe4b, 0x3cb4a735, 0xffb40f32, 0x39b4436d, 0x4d7258b7, 0x0e142293,
+    0x5fcd0e92, 0x19b16e39, 0x636dcb67, 0x56a29549, 0x154aa77e, 0xdc970f74, 0x9347ed6f, 0xe813320c,
+    0x26eacfed, 0xe240cc0f, 0xc8213641, 0x0294e7f9, 0xa120d391, 0x216ae052, 0x3bea90cc, 0x2027cfc7,
+    0xd4439c05, 0x77481c8c, 0x11ea2bcb, 0x91b33e55, 0xac04d97e, 0xdd7098b9, 0x96f7c1f4, 0x4143bd50,
+    0x1960e0e8, 0x80803de8, 0x2ee6b312, 0xce94bbcd, 0xa6821d67, 0x8427236a, 0x0061b472, 0xe663ac86,
+    0xbe384024, 0x7be1f66f, 0x7a98e784, 0x252ebbcf, 0x119fb7f4, 0xdaacda21, 0x46f05403, 0xde44755a,
+    0xe41b0ed8, 0xe7536f66, 0xb550cd73, 0xcda06f7b, 0x5bbf8cd6, 0x230f7572, 0xded7c3e9, 0xcac56f6d,
+    0x3855f18f, 0x139e96fd, 0x8984076e, 0x470dd2d1, 0x88ac7fe4, 0x28b8c8ef, 0x59d747a6, 0x4c130c7d,
+    0xd6d3c464, 0x77e3bb66, 0x6a7190ec, 0x82546809, 0x91574f8e, 0x2809d959, 0x1c89a8b9, 0x5c49ca90,
+    0x517b06df, 0x988042a0, 0x41e2b69e, 0x45404b90, 0xd6719a1f, 0x80b32a73, 0x6badc6d6, 0xfa2648b2,
+    0xe450b270, 0xedc8f9cf, 0x70acb7b6, 0xc94811a5, 0xdbf01ab2, 0x858a5546, 0xebf42856, 0x87abfe31,
+    0x00000000,
+    0xf6d3365a, 0xfdbfd36b, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000001393796574908163946345982392040522594123776 */
+  { 0x00000000,
+    0x60eed5c7, 0xa626b72f, 0x28e40b34, 0xcfa140a2, 0x81756ee1, 0xea03f3cc, 0x296402e7, 0x7462660b,
+    0xf470fde0, 0x96eba9b5, 0x60418a64, 0x47ac3af3, 0xd1968a7e, 0x78de85e8, 0xeb669524, 0xce5239ea,
+    0xf058d17e, 0xac890d19, 0x4aae8179, 0x657b16e8, 0xad579f8c, 0x63814083, 0x455b5326, 0x24fc92fe,
+    0x28719c6a, 0x5f0b6ed1, 0xbcf8cb64, 0x3086623a, 0xd62d704b, 0x6880368f, 0x3bfed3fe, 0x7cee267b,
+    0x1589826e, 0x61795b36, 0x03459768, 0xfcd85881, 0xfe491751, 0xb214c2d0, 0x79ecf7eb, 0xd1872be0,
+    0x316a9efd, 0x8bc12f24, 0x4ba8dfa6, 0x9cf130d5, 0xa484a332, 0xfb4876ba, 0x2d39ce2b, 0x9f61e75c,
+    0xb8e8b321, 0xbf611bc9, 0xe6071f58, 0x4c0482f8, 0x85b10af4, 0xa861455a, 0xc49a7123, 0x2d00ad70,
+    0x42148ed6, 0x296a01ad, 0xdb308aa3, 0xc4295ceb, 0x56a9e0a2, 0x63ad9891, 0x1130f420, 0x233601d9,
+    0xa76f96ee, 0x06806510, 0x83c1ab60, 0x88afb439, 0x2c36777c, 0x4279eaf4, 0x10304033, 0x77747ee7,
+    0xdf4db567, 0xc9d53d39, 0x55e1bc64, 0x5f7be583, 0x672510af, 0x038c4bde, 0x14138cd6, 0xaeda6479,
+    0xad274aaa, 0xcefad9a6, 0x2e11c595, 0x612fad3f, 0x879ca107, 0xe27ad78e, 0x71ec3843, 0x18c05dfe,
+    0xe36f578e, 0x48daee92, 0x8ebdbd89, 0x214ec1db, 0x34e3b525, 0x6bf9920d, 0x2d3d78ed, 0x7511db06,
+    0x2adf5be9, 0x97be362c, 0x5de34cde, 0x5a58f5ba, 0xe6ad9399, 0x9bdc1199, 0x3d358b7f, 0xbdf08619,
+    0xf6cf2e4d, 0x008311c8, 0xd4d2d3a6, 0xb88e4c0c, 0xc0097091, 0xca42a040, 0x6c7da566, 0x5c30ef42,
+    0x061093aa, 0xd0705abe, 0x59433b50, 0x7e4c0cdd, 0x8d175ae0, 0x60eef40e, 0x2918e4ae, 0x71a69d1d,
+    0x23929e85, 0x723667b0, 0xe7491f47, 0xa0bfa366, 0xc187a73e, 0x9cec52d8, 0x7ad58fee, 0x0810fbd0,
+    0xaf826bb6, 0xb6a6b7e4, 0xb5087f75, 0x3ff16283, 0x9a97b83d, 0xa8498ddc, 0xd828b514, 0x84f558cc,
+    0xe455e17d, 0x755c25ba, 0x8c745e35, 0xc111ee33, 0xc675701b, 0xa84e6a01, 0x2edbae3e, 0xa9bfd8ce,
+    0xeff6e1cd, 0x5b46a36e, 0x818b8e03, 0x2daae9b9, 0x535b8522, 0x3c9b9277, 0x54276039, 0x65733e2f,
+    0x62c0658d, 0x2cc65cf9, 0x105c11ec, 0x46d1fbcb, 0x804aa536, 0xadf31e5b, 0xedfd24b4, 0xf69d8efc,
+    0x2e0381f2, 0x97fe6e5a, 0x547e962d, 0x08a6ede6, 0x6b6ba3ed, 0xb77cfc6d, 0x4d40aa8f, 0x4be74c1f,
+    0x9d949389, 0xe3b99ef3, 0x46c1cd33, 0xcfa0af01, 0x03b46ca6, 0xe961465c, 0xaef632e2, 0xa584ac29,
+    0x9f86eb77, 0xd46e0ed9, 0xf9339456, 0x7b968c70, 0x62dff607, 0x9fa92f49, 0x82ff0832, 0x52485fda,
+    0x4430c608, 0x17a1ca16, 0x6796e927, 0x44830877, 0x1b8f6335, 0x940f0d37, 0x1a62aa94, 0x968caf16,
+    0xfd1dc00a, 0x03d59506, 0x4f8359f6, 0xca3c967d, 0x0ef1fc11, 0x68a415bd, 0xb03e704a, 0xafc2b6ed,
+    0x9abeaffa, 0x8679aeaa, 0x13a3f2c7, 0xf0a824fd, 0xd6fe71ce, 0x271568d0, 0x225b6cc5, 0x77db3d06,
+    0xe1f010f0, 0xb2074f10, 0x37a298a8, 0x831dee31, 0x2631ddbd, 0xfd4a4752, 0x31f66b51, 0xce4a1e77,
+    0xb209d366, 0x0742221c, 0xb4e7fbd9, 0xe62b3b59, 0xf7a1eda3, 0x4b34a348, 0x927e921c, 0x57532c8e,
+    0xbf460dda, 0x56ba3ae3, 0x5294f248, 0x1bacaee4, 0x77d087a7, 0x4f1eb5da, 0xe2910804, 0x61469d13,
+    0x804cbe9f, 0x43d04619, 0xd4fc3163, 0x7cb94e90, 0xb2cfaa84, 0x91e56dfd, 0x3130f737, 0x3790a5f6,
+    0x6348203a, 0x7c4f5417, 0x3abcd23d, 0x7b8ed03b, 0x2b3deb87, 0xd54f8f06, 0x56b3c4fc, 0x4d80a728,
+    0xc482ec78, 0x562ec1a4, 0x2c9051a3, 0xa6ec1ccc, 0x2a5b572c, 0xcdcf0107, 0x4445dbea, 0x80e4f4f9,
+    0xf2f987e0, 0x04ca4442, 0xb0935c4c, 0xcca8b1cb, 0x54dcd7fb, 0x51888aa0, 0x79265e28, 0x2411d250,
+    0xd0fcedb6, 0xfd4f08f3, 0x05183f01, 0xfc326a3c, 0x07724859, 0x426debe7, 0x7c6dd5dc, 0x673ebd55,
+    0x54c53f64, 0xc8bc3a45, 0x9cf5635e, 0x2164e020, 0xbb841c12, 0x4170fda9, 0x8de8a79f, 0x29d7a279,
+    0x1e54c834, 0x8cd7d791, 0x8ae84e29, 0xab402cfb, 0xa59404c0, 0x0255b0cc, 0xbae10cea, 0x7274568a,
+    0xc8a17f5c, 0x05a0416a, 0x90c938d0, 0xd453e481, 0x26614ada, 0x1009965e, 0xcefaddc2, 0x3c86ab4d,
+    0xfe39b46f, 0xbc9e74da, 0xffcaf3f2, 0x96b7d80c, 0x23ed6adc, 0x98ad3094, 0x0d014f8a, 0x41fbd66a,
+    0x6e45a732, 0xe8e83607, 0x33a34153, 0x22aa3e72, 0xac420d18, 0xbb1952d7, 0x49694ee7, 0x8b8e48c6,
+    0x3ed4d8c9, 0xb14512e6, 0xb3ad1d7f, 0xad16186d, 0xddf45a6f, 0x23d9461c, 0x77f4a893, 0xe8e717c7,
+    0x358b1b5e, 0x078d6868, 0x2e428280, 0xc80e0f3b, 0xac6c6e8e, 0xc9def712, 0xade787fa, 0x7fd61702,
+    0x4db5293c, 0xfa884149, 0x267bc952, 0xb51274c1, 0x2671e1f7, 0x265806d8, 0x46719f3a, 0xd3acbf99,
+    0x2d4c8f97, 0x0fe55200, 0xdc282759, 0xe3139c12, 0xed4708c8, 0xc07099b7, 0x8e6496a3, 0x09e2b1eb,
+    0x751cd5d5, 0x1667e3af, 0x4fb41acc, 0xe9fef8f9, 0x2587df72, 0x8f871fac, 0x6f84f1e2, 0x662207da,
+    0x4fff6cac, 0xde3d6ef3, 0x148bf4d5, 0x9b4a7ef2, 0x8dcf8742, 0x2f9f9ce9, 0x531bfaf5, 0x6611fdb2,
+    0xbacf4cd3, 0xd59038a7, 0x49e5baca, 0x076997e6, 0x9b495caf, 0x2f45cf48, 0x9b239570, 0x2dbf574f,
+    0x73e254fa, 0x04ffbca6, 0x0f531123, 0xcf39fda5, 0x6cc06248, 0xd6cb9dfd, 0xaa68f63c, 0xe4a84676,
+    0xc74d0644, 0xf16b6587, 0x60dfd942, 0x70d22290, 0xb371eb8b, 0xa74f1e1c, 0x82151cdf, 0x114c21a0,
+    0xfd490e4c, 0x7968c080, 0x8d2f4b77, 0x28b3556d, 0xaeaa2d3f, 0x38dbf476, 0x3265b17c, 0xca54a7d8,
+    0xf6a934e6, 0x45de9884, 0x1f509928, 0x098d6061, 0x8a53ad74, 0xc9002b9f, 0xd39fa74e, 0xd16de0c8,
+    0xcc961dcd, 0x652e914d, 0xe6134277, 0x9adc6634, 0x0f4b7fcf, 0x04c1fc5e, 0xcee278a3, 0x42927112,
+    0xdbe6450a, 0x64ad8254, 0x2867b0a7, 0xfa673163, 0x85d33929, 0xcaa219fc, 0x424a0e61, 0x6922e7ce,
+    0x84288f99, 0xe0a038b9, 0x6db8ebd2, 0xafb4a1bd, 0x56ab08c2, 0x77386042, 0xb6320c14, 0x481ed232,
+    0x1db43e31, 0xf4fa7aaa, 0x6a294e60, 0x7c46345f, 0xe2d803be, 0x6adfce98, 0xdf123ac0, 0xd2593cf8,
+    0xb77e5df2, 0x9fa393e6, 0x41f9b2dd, 0xec543a6c, 0xaa92bc18, 0x39a065fa, 0x6883bd4a, 0x9af19890,
+    0x46abd6bc, 0x5e37c7cc, 0x5ddc2570, 0x7e6ecf64, 0x94d2ef90, 0x289f598d, 0xd2f780cf, 0xb3549656,
+    0x2c4cec0c, 0x7aad6b43, 0x9e2799e5, 0xf37195a6, 0x3513ae4a, 0x4e06d67c, 0x8fb962a1, 0x60f04214,
+    0x01dac69f, 0xf5f9394a, 0x542feff3, 0xaba05a5d, 0xae1231e0, 0x0a834f4a, 0x8b71bf99, 0x481f9d83,
+    0xae060150, 0x142f47ba, 0xfc551149, 0x23cbf406, 0x56b303c3, 0x27af5f03, 0x2d2166bf, 0x04264f59,
+    0xbaf37bbc, 0x8f6db059, 0x1e82eac1, 0xe94b3383, 0x4c768386, 0x7d4df30f, 0x658c3d7b, 0xab16d2f3,
+    0xf2a0f6b0, 0xc00995af, 0xa1f88df0, 0xd6d8301e, 0xa4594bf1, 0xc43e71ae, 0x130babac, 0xdacdb326,
+    0x276a3ce6, 0x07ffaab3, 0xe7381661, 0x10955e6b, 0x6c3fd3f3, 0x9fc0cee4, 0x48b24f29, 0xcb8d1fff,
+    0x5dd3baf5, 0x45a566cc, 0xd78a0f8f, 0x30a6226c, 0xfc2abfff, 0x0a7fcde5, 0xe5edc072, 0x3110caa0,
+    0x5c4d328b, 0x4b5ad46f, 0x304bec27, 0x4ee0e7a6, 0x962669c3, 0x10842599, 0xaa049ab3, 0x2c3f0aef,
+    0xfeb307ce, 0x9b28d672, 0x8ee25015, 0x7fbf6d66, 0xea8ce115, 0xcbd643ed, 0xd19fdcc1, 0x1b63ba28,
+    0x53619578, 0x80c5df80, 0x1d0cebf4, 0xf63b3408, 0x1f8f1bd5, 0xbe935a09, 0x691eec11, 0x37fae090,
+    0x786c3f3a, 0xac1fe5b4, 0x75bec2a5, 0xeff6488d, 0x470cb934, 0xb6a75d54, 0x63bc8422, 0xf5cd4ab5,
+    0xdd7a250f, 0x65ee817d, 0x51893c2e, 0xd9359c65, 0x09ae57bb, 0x5b445084, 0x111ece70, 0xf9f8d0d4,
+    0x5946bfb4, 0xf22a16ca, 0xca49fe0f, 0xdee68c14, 0x21da4482, 0xf87d98b2, 0x84e3007a, 0x0a515a8c,
+    0x2951f0cc, 0x06f1a563, 0x746ed3cd, 0x43937016, 0xf280b240, 0x38b80dd2, 0xd89aae85, 0x8f4a3b51,
+    0x5846767a, 0xc68fbaa3, 0x25611631, 0x641c3936, 0x3c3991ce, 0x81650bd3, 0x39023d6c, 0x00758762,
+    0x8ccb6bca, 0xa34838e9, 0x3e85c482, 0xeaca113a, 0x6b980b25, 0xbb4d59dd, 0x52ddd30b, 0x12f0cd23,
+    0x09906f80, 0xf077ae08, 0x003169a9, 0xfc05a9b0, 0x80724fe6, 0x61aea032, 0x66c59739, 0x36b9fb26,
+    0x6ef78b29, 0xea3aa810, 0xae85cc74, 0xfb7409cf, 0xbece44e1, 0x51695aab, 0xacf032ed, 0x221e602c,
+    0x14f95ce2, 0x0ff5c119, 0xbab3c581, 0x99c2d790, 0xba1354a3, 0x997b00a5, 0xd00e691d, 0x573d1dcf,
+    0x8c67768d, 0x433a7eb1, 0xb6a978c0, 0x925b7199, 0x88f01f0d, 0xb21fc8d4, 0xe8fd6550, 0x46581120,
+    0x2409bcf8, 0xb5e34857, 0xd590f3d9, 0xb49b4980, 0xdb8ab2e5, 0x70977dfd, 0x5941693f, 0x85c4e13a,
+    0xc12ba01d, 0x923a0944, 0x1f5c4201, 0xed149857, 0x8a65fa98, 0x69696a78, 0x5422e085, 0xa7f75975,
+    0xc28d4514, 0xd54dc762, 0x3caaefa1, 0x758fdcbb, 0xc0db0bff, 0xe0de626c, 0x08c4a9d5, 0x13bddb04,
+    0x89b7ac4f, 0x93d646aa, 0xe1c39972, 0x09e53e51, 0x7eb437a7, 0x11e3f19f, 0x22156156, 0xba18330c,
+    0x1085a177, 0x47ed2a96, 0xf0ade075, 0x008af6be, 0xb682dc35, 0x2dfd6682, 0xdd83923d, 0x2c60b1fe,
+    0x3472f6d9, 0x6f50be5e, 0x1db5e083, 0x96fa2fb0, 0xb85cc1c1, 0x66b7f6d1, 0xb5069e61, 0x2826610c,
+    0xc22ab1c0, 0x9b694e76, 0xcfdb3502, 0x39617110, 0x24b6a12d, 0x52b2c658, 0x85bbbc58, 0x4f627755,
+    0x7bf0fbb8, 0x39a02f79, 0x163ab093, 0x006bb6c2, 0xe12f7276, 0xc89a3375, 0x1c938dc8, 0x91819954,
+    0x34662053, 0x6d7224dc, 0x932cdbb3, 0x515cc3db, 0xfc46139e, 0xbd7f14fd, 0x26de1185, 0x0a683d49,
+    0xd7c4e82c, 0xe1a24d32, 0x9d16f2e9, 0xf97dbb28, 0xd2a216cd, 0x8e3ed4d6, 0xe3cb5f2d, 0xb491d506,
+    0x0889288e, 0x02827fd0, 0x2776d630, 0x12cffdf0, 0xf8549e27, 0xe9beebe2, 0xd8a4f03e, 0x6095dd18,
+    0xa28f6343, 0xcb424d0f, 0xe86ea00a, 0x55ecb8bf, 0x036e15db, 0x6afc1339, 0x7c86addf, 0x0b30c89a,
+    0x658d2f22, 0xb7473537, 0x41838e83, 0xaba343ef, 0xd2795d56, 0xc9a9d3c2, 0xa2a64b87, 0xe5fece1d,
+    0x80dfee9e, 0x01f3ffda, 0x36cb9347, 0x48a85eae, 0xfbc8fdb8, 0x7b628e11, 0x5122d291, 0x8f8ec892,
+    0x04dce9e4, 0x2d657cbc, 0xe2076588, 0xa6edec5f, 0xc41b6040, 0x0d14d424, 0x7f446bac, 0xbe194b98,
+    0xdc0e5827, 0xa68630ec, 0xebb0af44, 0xe1ce6fdf, 0x35db0f1d, 0xde65f007, 0x94c0da82, 0x35729ef4,
+    0xe5d2e83e, 0xda20c102, 0x617379d6, 0x1a5b00c8, 0x103f1df4, 0x57f7b856, 0x66a44944, 0x99c84c51,
+    0xb85ddf3f, 0x17d2df4a, 0xc7e9ea13, 0xd1b17302, 0x46eb6ad4, 0xfc12c5cf, 0x3f691b86, 0x9c00da86,
+    0xc2ebc9dc, 0x252dba4b, 0x744ad568, 0x256d1ca9, 0xe5a3d278, 0xc63deab6, 0xd93f92a2, 0xabe293b5,
+    0x64a5dc6b, 0x511d9b56, 0x11cd7c9a, 0xcb3e8779, 0x5f6e1eca, 0x0bdf27bd, 0x9df4861e, 0x64be7b90,
+    0xfac27731, 0x7e016cc5, 0x5865ffc6, 0x412b708a, 0xeee1d4d1, 0xc78f37f5, 0xa85db779, 0xbbd6b022,
+    0xfc7e1031, 0x94a822ea, 0xaeb183d3, 0x292c5678, 0xa7d26346, 0x4c957669, 0xb59d09cd, 0x73e2c69d,
+    0xaa1aa3f8, 0x59e1e107, 0xcb9ac25a, 0x322b7770, 0xc86b6ee3, 0x74ab2cdf, 0x67950573, 0x5a726e49,
+    0xa751f31d, 0x5747703f, 0x524a8e1b, 0xdc1cb342, 0xde010225, 0xc52081b0, 0xc2fcaec9, 0xe446cd50,
+    0x5c150ee5, 0x39b0cafd, 0x88d4f1ca, 0x6f8cfc8e, 0xca68679f, 0xeb02f595, 0xb96c521d, 0x1e45df55,
+    0x94200ea6, 0x0ac20ab4, 0x6d95c559, 0x75d159ab, 0xbddea425, 0xa63d3cf0, 0x8bf54402, 0x273f20f1,
+    0xd6e88e90, 0xc46ef879, 0xa79ed48b, 0xdfdfd97c, 0xb14597e2, 0xc3e03222, 0x80b93f37, 0x7dad1336,
+    0x576de783, 0xacebc3e7, 0xa3a79341, 0x6373cd78, 0x06e0f9b8, 0x3222434c, 0x8a603e24, 0xb7ab15db,
+    0xae20a917, 0x1cb07739, 0xdd63c54b, 0xa9673e87, 0xd88865a0, 0x563cca00, 0xde997d9d, 0xc4e9756f,
+    0xd42111bd, 0x6157716f, 0x8380d5c0, 0x69fb5ce3, 0xe9eb8458, 0x0ac56d1e, 0x68718e8f, 0x12ca660e,
+    0x7c7ebeea, 0x7386b98b, 0x46a9a6ed, 0x4601bdac, 0xff0869c7, 0xedcfeee7, 0x1c931103, 0xc5a2a038,
+    0xcb56e363, 0x63ecfb07, 0x8ee0dde1, 0xd272de2e, 0x520dbe87, 0xfbb3dc09, 0x849ae9d7, 0xbd849379,
+    0x26c54e70, 0xc5cf65f2, 0x7f322ca6, 0xc4114d47, 0x4f2ac3c7, 0xbeecaf80, 0xb3a5cef9, 0x863eb6bf,
+    0x4d9f0a03, 0x661539ea, 0x6a41fa6d, 0x98a4a5db, 0xe2d327e8, 0x74ed6d01, 0xb53a33de, 0x8afd1b1e,
+    0x218fb84f, 0xec31b8bf, 0x8435696e, 0x16b6afeb, 0x4fb16b2c, 0x29e3f674, 0x2ccaf185, 0xf57222e6,
+    0x8a2750a7, 0xc2da36c8, 0x0106be77, 0x0a4379d2, 0xea93eb60, 0xafc2717a, 0x4cfd6ddd, 0x223f06d8,
+    0x90129f66, 0x1a94b939, 0x74226a4a, 0xf3c2520c, 0xc6bc30d6, 0xf13e9ca8, 0x1c9dbc94, 0x042c18d9,
+    0x87422115, 0x3dac66f2, 0x46fe7fd1, 0x1dfd94e2, 0xe3677b11, 0x06741e00, 0x4e4b8bcb, 0x0015542b,
+    0xc852911f, 0xa52eb55d, 0xe4e17d68, 0xb4a4acd5, 0x9bf8aa54, 0xf7174f25, 0xfda1a0b6, 0x677ded26,
+    0xa02ea07e, 0x2140b5ad, 0xb19d7b93, 0xf15e6e2e, 0x255ae51b, 0x85263d5f, 0xce3fef9a, 0x324865a2,
+    0x72812ccf, 0xbdb81656, 0x8f84a967, 0xc0080a7c, 0xfc33a0b2, 0x26c974d2, 0x80734308, 0xf68c2e5f,
+    0xd2127699, 0xfe2824d2, 0x29521044, 0x4e601031, 0xf157f6ea, 0x8039475c, 0x8e356b4a, 0x1b05838e,
+    0xa574edae, 0xc54a3027, 0xca45cbeb, 0x277a6fb6, 0xe7b4ce05, 0x71896915, 0x2450193c, 0x14a3e705,
+    0x4294fbfe, 0xe5501e8c, 0x7e6271b9, 0x692816be, 0x127af9f5, 0x4ce0e6c8, 0xa3e9c516, 0x946cb167,
+    0xbdbb015a, 0xa2464720, 0x7b65769a, 0x60a1c1db, 0xba50622f, 0x5008be8f, 0xeaf989da, 0x879827a5,
+    0xd300be9e, 0x13f56838, 0x93e1a4af, 0xff536297, 0x0f444948, 0xffbc937e, 0x59e74778, 0x61a2054d,
+    0x6b044ab4, 0xad904751, 0x4dc0b829, 0xe02e9157, 0x3b9a5ae9, 0x963c633e, 0x4d8426b1, 0x908a8a02,
+    0x97b4b170, 0x459959f3, 0x1e321602, 0xea67e43a, 0x98937fce, 0x37d641c8, 0x5b131aee, 0xc44e1bc4,
+    0x6086ce1d, 0x6269d859, 0x9eaacaa4, 0x4c4d987a, 0x1fdcea53, 0x95f93cc7, 0xf9c5f6c7, 0xeaf5b136,
+    0x27bcd820, 0x86ebf2d1, 0xa8a11a51, 0x0431f896, 0x504a2642, 0x0f8ed953, 0x5ce0b230, 0xba5d7ea8,
+    0x00000000,
+    0xfb699b2c, 0x7edfe9b5, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000696898287454081973172991196020261297061888 */
+  { 0x00000000,
+    0x96450d27, 0x7b23a47c, 0x917aa388, 0x3ada7f32, 0x65821453, 0x9ccf66d0, 0x5361030c, 0x826859c3,
+    0xfeb81b5b, 0xf9e757e9, 0x8fd797cf, 0x03cd075f, 0x1b0e366e, 0x8f41be74, 0x7e204c58, 0x7bbe6a90,
+    0xad0de0c1, 0x99cb34d7, 0xeb23f2f7, 0x66104999, 0x1774e247, 0xd673162a, 0xc588a942, 0x3fd47a53,
+    0x16773c7d, 0x172daf09, 0x6891dd8f, 0xffa9b6df, 0xfdf5317e, 0xecce3ac2, 0xf04378ac, 0xc4ce57f8,
+    0x39b7ea93, 0x12c2af3b, 0xd0078b28, 0x3a380041, 0x64baf14e, 0xa5d32987, 0xd013fd53, 0x40a92be5,
+    0x38ee326a, 0x8da4ae57, 0xf5b49529, 0x61ee7b75, 0x9337d741, 0xc8c352e9, 0x4dec6586, 0x3e27b347,
+    0x3e80bd27, 0x4f154f60, 0x9928ccc9, 0x27b92ebc, 0x8e428db4, 0x6eb07fc0, 0x74520d64, 0x00df1699,
+    0x5403abb1, 0x8d4be089, 0x09de264c, 0xeb3d90d4, 0x16d55d58, 0x59e00bb3, 0x998b5019, 0x589a9b79,
+    0x36e2092a, 0xd605c007, 0x6d8d4ddc, 0x50f63b2f, 0x127881b7, 0x30f23526, 0xf8c2ff33, 0xd7a39653,
+    0x1e0d9d37, 0x5994c641, 0x9f066975, 0xf59a89b1, 0xb8c06f9d, 0x78d085f1, 0x661200c7, 0x2d2657ee,
+    0x8594cb6d, 0xb397c1de, 0xd8b306a3, 0xa018f44f, 0x77ff9235, 0xd1a880e2, 0xd479f3bc, 0x1e926aa7,
+    0x94c15fd8, 0xc073721a, 0xb527e6ce, 0x0932a54d, 0xd073f4b1, 0xa3148afe, 0x85014f8b, 0x7e9ed7fa,
+    0x73732367, 0x8ab9caca, 0xad0fe5c8, 0x6d03b7b2, 0x534547cc, 0x095cbe16, 0xb0316000, 0xb9c145ab,
+    0x9cf56b4b, 0x35a20704, 0x9170c385, 0x5fb68597, 0xe384480b, 0x05fed624, 0x6cc9f387, 0xe8218a9f,
+    0x383a9ed6, 0x3c3991b8, 0x64eabd2b, 0x8c75d987, 0xa99811ff, 0x4388d74b, 0x7d509bcf, 0x1ed82509,
+    0x5c380e03, 0x3b3e4d93, 0x9849b0ca, 0xbb2bc3d2, 0x8aee03d4, 0x6e1dde92, 0xe6666513, 0xc56cad8a,
+    0x28b56ece, 0xa0a96b45, 0xe2331152, 0xdf62dddb, 0x0bdeba88, 0x4c291963, 0x910d320e, 0xaa60d418,
+    0xee4e1561, 0x6c87679c, 0x7909cad7, 0xeb58d38f, 0x93f78be0, 0xf84b21c3, 0x546d5092, 0x49267ea4,
+    0x7c300549, 0x7440f905, 0x33a800c0, 0xd73c2cf7, 0x0fa2eeca, 0xedd09420, 0xb011d6f7, 0x37471fe9,
+    0x0cf8bb2f, 0x78d3390c, 0x54ed933b, 0xabbbb0e5, 0x1d78ba19, 0x60cc6ac2, 0x14021d06, 0x963bd1c3,
+    0x42194fab, 0x550d5f34, 0x10d930fc, 0x9a1f207f, 0xcc1326c3, 0xd3007b46, 0x92634a6d, 0x81e4e8c6,
+    0xadbed1fa, 0x8468b88e, 0x69e55de4, 0xefa74f4e, 0x65ed6fef, 0x2293f16d, 0x32c8535a, 0x5cc30af9,
+    0x75bd41d2, 0xe37a0fbb, 0xfcbfc36b, 0x4cd4f502, 0xf780ffeb, 0xa85d9d80, 0x0464a8d9, 0x019b0795,
+    0xb340bf9b, 0x004a581f, 0x379cc3cb, 0x45db6938, 0xfc98c69e, 0x33712f83, 0xd1da6dfa, 0x55422f64,
+    0xb446150a, 0x0d5a29e0, 0x6251c354, 0x76f5a6b2, 0xf89087cc, 0x7a4ebdb5, 0x5489b221, 0xd9729ee9,
+    0x82f1b0bc, 0x259b78d3, 0x8b14e076, 0xd9be98d8, 0x9a51a28b, 0x7279674b, 0xba607672, 0xed798a14,
+    0x63a1c8a0, 0x053aa556, 0x00643e1e, 0x316c04b7, 0x241439da, 0x60513de3, 0x6850abfe, 0xef0197e3,
+    0xe433b70a, 0x13dce0ec, 0x15ca9bff, 0xa70f6814, 0xdc816992, 0x0b6a041d, 0x84f2c0d9, 0x50c2e3b7,
+    0xfa9ac256, 0xb11b861e, 0x2cb4f1c8, 0xfed9dfdf, 0x6a05cf9b, 0xd8cc9947, 0x7920f129, 0x46f7b815,
+    0x51f694cb, 0xdd1297c9, 0x4cf9e505, 0xf788a7dc, 0xd256c54d, 0xe0e3eff6, 0xfe256e3d, 0x444680b5,
+    0xfc795254, 0x0118257a, 0xa758553d, 0x1bd577ac, 0xac72ac3b, 0xa55991d8, 0x7b367bf5, 0x468df0c0,
+    0xce4aeb87, 0xa2e550f3, 0xf6cd5691, 0x24c7430f, 0xe3933830, 0xeb2d33ab, 0x51e85682, 0xc88b8774,
+    0x275d963f, 0x7a239da6, 0x5f4dcb56, 0x7adb4c47, 0x4a33c120, 0x1b35d083, 0x3bcd2112, 0x80635aea,
+    0x780ea572, 0x0556f8c1, 0xae5c49d4, 0x165cbc11, 0xd37dfddb, 0xafec4457, 0x1359c50e, 0x2cb40a81,
+    0xc81bca0b, 0x6191b6d3, 0x076ee7da, 0x4b1471d7, 0xe57b6f43, 0x4beeae5c, 0x8442cb10, 0xa936c3ce,
+    0x7000610b, 0x696987c0, 0x9ab529c8, 0x95c46256, 0xfcffc809, 0xa486af5e, 0xdeb25302, 0x173d73fc,
+    0x7461723d, 0x80919286, 0xb367e0bf, 0xc27d649b, 0x204df9bc, 0xfed6f190, 0xc6191918, 0xb0ec5879,
+    0x869d93e5, 0x7866defc, 0x71633f84, 0x16dc185d, 0xad7436d1, 0xa3e57f78, 0x8f2c4dde, 0x34fe5fed,
+    0xe47db2f5, 0x6f897974, 0xacaba1e7, 0x93c36093, 0x7ac8b919, 0x58cadb69, 0xb5be5d4d, 0x8271976c,
+    0xaf718067, 0x0ad37b92, 0xb1f19442, 0x6761be1b, 0x80a1e167, 0x977dc427, 0xddfe96c1, 0x7d26c075,
+    0x8b7eaf2e, 0xafe21b05, 0xc006b832, 0xcffe6ee1, 0x2972a3ce, 0x20ee2a80, 0xe20025d2, 0x487d7b8e,
+    0x0ef232da, 0x2f902763, 0x7655a6ea, 0x86cca1a5, 0x00a832e4, 0xd53e091a, 0x89f84f8b, 0xef99490b,
+    0x9ee697d4, 0xdb0a38f3, 0xf7e5e881, 0xaa53ff46, 0xe3917fcd, 0xb1171347, 0x3172a32e, 0x1bbf2721,
+    0xe235a8d3, 0x31e96fc3, 0xdad98036, 0xac16d8f6, 0x408ca6d9, 0x8d7e5581, 0x35012e73, 0x493fd870,
+    0x5bbf970f, 0x4a4ee2b9, 0x47ed43d9, 0x070ae2eb, 0xbe5cf420, 0xcc0491cc, 0x41d3ea3f, 0x8cea687e,
+    0xa639bd26, 0xb4f96ffe, 0x43fc5b9a, 0x84c49c85, 0x24ebcf4f, 0x43581223, 0xa64e0179, 0x4900aba0,
+    0x92d97ce3, 0x873b09fb, 0x4e9c3174, 0x3f88d933, 0xa5addc6e, 0x44161363, 0x10225c6e, 0xc45f6efe,
+    0x02fc0e38, 0x74ae2385, 0x1f513c78, 0xd80b5f32, 0xc6b3b951, 0x1a6322e8, 0x368032a8, 0x99dd1550,
+    0x70247592, 0xef6c0151, 0xdf54365f, 0xdb39b19e, 0xd4646547, 0x48e26ecd, 0x756f9e04, 0xc86c2138,
+    0xea534f88, 0x3da450e8, 0x726e998a, 0x1cb27419, 0x12d7ca6e, 0xaba0c203, 0xf052cd18, 0x514847df,
+    0x93811e31, 0x3716cd29, 0xa3407d0c, 0xbe3ffc18, 0x9849cb8f, 0xb74fd034, 0xf74ea7ec, 0x254d49a7,
+    0x0a24ad54, 0xd73da0f6, 0x8bb008f1, 0x7e3c468e, 0x00164ba7, 0x6a81dd78, 0x240da6e3, 0x10943287,
+    0xf3fd7b6d, 0xd5645426, 0xb2f5e85c, 0x057962c7, 0x00abed16, 0x073581ab, 0x74dea2de, 0xc8e86330,
+    0x200c0d3f, 0xdee22fe0, 0x451f7bae, 0x2f84c841, 0xeda95311, 0x5848fdbe, 0xd53eada9, 0x1656fcb9,
+    0xdfa246fa, 0xe3854a05, 0x88621d53, 0x69cf8ac3, 0xc15b17eb, 0xdeaf9d20, 0x529e8fa7, 0xaf9dceb3,
+    0x19154905, 0x08baa49c, 0x31fe463c, 0xc63988ef, 0xff25c0d4, 0xf7d91442, 0x94018358, 0xa568402d,
+    0x7e4fdcb3, 0xdb7ac32f, 0xb0e07319, 0x84bedd2a, 0x5e182991, 0xd47418bd, 0xce69aba1, 0x250c2f70,
+    0xa09cbd19, 0xcce58496, 0xcdb92f0e, 0x09d52ac5, 0xa31de84a, 0x9c0c9677, 0x8d253586, 0x6ff8cf1e,
+    0x27dcc9ee, 0xf222b971, 0x174500fb, 0x646a8e5e, 0x48446920, 0x747541f6, 0xc0c7a6c7, 0x5efe9ae8,
+    0xa17b268a, 0x6a7e2630, 0x84559560, 0x1cb53711, 0x53533398, 0xd0c49740, 0x20e727cd, 0xf955198a,
+    0xe620ee58, 0x5f667be3, 0xdb060366, 0x982f34a8, 0xf67d0b38, 0x364ff3bc, 0x694fdd51, 0xcdf7c811,
+    0x76edcbf9, 0xf5bd3a63, 0x86738ddc, 0x8170718d, 0x238955e1, 0x6a7a729e, 0x1d411dc9, 0x0bb3ed05,
+    0xa8d2859d, 0xc085eddf, 0x3fe7fa27, 0xf23e7934, 0x21d29ee5, 0x701b5737, 0xd5afed00, 0xa4d64b73,
+    0x25c606ac, 0xf1fbee29, 0x317ba420, 0xf9e9a699, 0x13972788, 0x689220e9, 0x2f5c155f, 0xd2aad294,
+    0xba067139, 0x2834917d, 0xba66dd46, 0xd4b05726, 0x7508f611, 0x49241eb6, 0xca5f1dec, 0xfeec5bf1,
+    0x2ecebd0c, 0x1261cf6b, 0x323ffa73, 0xaa3f10eb, 0x7236eb88, 0xa21b95b1, 0x14a73c54, 0x4f47e8a8,
+    0xbd71eb26, 0xff672f3c, 0xe6223905, 0x32adda31, 0xaf6ad936, 0x21fe8ec2, 0xebda6b93, 0x545ed23f,
+    0xbcfed5ef, 0x88e6fca8, 0xd36aade3, 0xbc104c2f, 0x722185c8, 0x671608e3, 0x13fdf297, 0xb31d759e,
+    0x0602fc19, 0x2dc9a85f, 0x98144992, 0xe58c8043, 0x83e4388f, 0xe604b105, 0x617ba167, 0x4cf6f419,
+    0xc30920b4, 0xfa820998, 0xcdda7296, 0xf2c747b6, 0x7bead78c, 0x3e81a2c2, 0xe451296e, 0xca037c23,
+    0xa0163c53, 0xd0711279, 0x1c03b757, 0x3019eaab, 0x657c60ac, 0x1589c6d2, 0xb1668b9b, 0x10f6a869,
+    0xc013452f, 0x6f8504f9, 0xb66d15af, 0x0299f6d6, 0xb25625f9, 0xc927924d, 0x58d46b93, 0x928cae0c,
+    0xe831b368, 0xb7fa86da, 0xbb971914, 0x7574c327, 0x56527a89, 0xa98e03a5, 0xb90f8ba0, 0x5d1d1e73,
+    0xb322006c, 0xce831013, 0x84d19873, 0x95d22f43, 0x348372e4, 0x7f63530c, 0xe6871dac, 0x7fffe9b7,
+    0x5e8d32b5, 0xfc6e8c52, 0x7059e171, 0xe5216d41, 0x06096f8d, 0x539c64d4, 0xc2492c18, 0x025e277e,
+    0x752dfa56, 0x96f81f45, 0x182dfc15, 0x9acefb2e, 0x81d24594, 0xc9fece51, 0xc04f88d8, 0x9f1ece02,
+    0x15c98209, 0x0bc70530, 0xb9f0f350, 0x306f3fc9, 0x2152c264, 0xa5fc3920, 0xa5149f0c, 0x6676a900,
+    0x406017e2, 0x730df589, 0x96869226, 0x9fd9d78e, 0xe4740d74, 0xe930e371, 0x80011bce, 0xf4c4c657,
+    0xe427a6db, 0x07956532, 0x45b7ba71, 0xeb35a27f, 0xa1bbc4cb, 0x621664cb, 0x2d9531dc, 0xaa9d4f0f,
+    0x40d93882, 0x7bd49895, 0x853ad723, 0x01cc0ee2, 0x00c64e2a, 0x6eba5380, 0x28554013, 0x4bcfa4fd,
+    0xa49f059c, 0x98d019a2, 0xd8c36d4f, 0x982be0d5, 0x87359aed, 0x3f3a5a66, 0x4bcf16e0, 0x4f9d31d8,
+    0x52eeddb7, 0x45e569bc, 0x740e6347, 0x14c50297, 0x4368a92e, 0x83d25b89, 0x44e713e0, 0x050e47c8,
+    0xf039906a, 0x0ad289df, 0xd93f9af3, 0x7ef6f0c3, 0x11516088, 0x2bb55333, 0x0a5ac9b9, 0xe05975af,
+    0xf56aba66, 0x1b2ef24c, 0xa8067cf4, 0xd1f38cf4, 0x7a3c3760, 0x8eb452a7, 0x3fa95c2e, 0x28926734,
+    0x5291250e, 0x4c7c3f81, 0x2fdbc86d, 0x4a07e6a6, 0xa20ac986, 0x3fa27da1, 0xea676b09, 0x325c94dc,
+    0x9fd4cba3, 0xb1dfe02b, 0x73f0cb88, 0xcd3509b6, 0xbbf313a8, 0xd8c423d0, 0x46b71617, 0xec958593,
+    0x285608fc, 0x0ce79afa, 0x7e753057, 0x53d06508, 0x9985f850, 0x5d2eb2e0, 0xfefc89f9, 0xf65a05c7,
+    0xeab57517, 0xf4e572e9, 0xf2af3ad6, 0x3863cbfd, 0x45c1932a, 0x8862dd04, 0x983a8f24, 0x14990e3c,
+    0x72e1c012, 0x2cce4d14, 0xcd51f3ad, 0x72dd8970, 0x8de2d4bf, 0xfed3d5fd, 0xb356d085, 0x7c494395,
+    0x0de7f36b, 0x5deeae35, 0x27a41ff9, 0x33cdf6f2, 0x63a6484a, 0x14d9f7bc, 0x39b8f24c, 0x3d724c61,
+    0xcf32ce28, 0x8c211a1d, 0x839275a1, 0x6fa3d367, 0xe5f96333, 0x22390d26, 0x57072ec8, 0xd26ed83a,
+    0x4946c8f6, 0x8727a45c, 0xca2577c7, 0x51338781, 0xf2305171, 0x8815c424, 0x647d2cb1, 0x9d1bbe71,
+    0x74530f90, 0x87dbf1f9, 0x2f1a07c9, 0x9a5c387f, 0x52384f52, 0x60d39b28, 0x0e4c1ee8, 0xd3d6d004,
+    0x1e698353, 0x066c33f5, 0x31f26f47, 0x2a811713, 0x6ea0a0b7, 0xa6371c6b, 0xd7c3abfd, 0x30e6f862,
+    0x1ee4a1bf, 0x1413532d, 0x818bf647, 0xa67f5b08, 0x73f72766, 0x342a7d25, 0x6c977437, 0x5a31a98f,
+    0x5bbbef3b, 0xbe8d694a, 0xff4a2599, 0xc1243b97, 0x9d25c747, 0x3f354b72, 0x3acf5c1e, 0x423fb9ca,
+    0xe33999c1, 0x7709f17a, 0x55fea7b9, 0x6dacf601, 0xc81c1790, 0x6551948c, 0x590f9c12, 0xa1ba2631,
+    0x1266512f, 0x02ef54c6, 0x4f6260f3, 0xf3307877, 0xb567bfe1, 0x955f4a91, 0x65ace1bf, 0x9585e047,
+    0x1ca11869, 0x8b798e4d, 0x92498baf, 0xfc6195db, 0x571067de, 0x076d1f2d, 0x79352ddf, 0x4d1e96a0,
+    0xb760af0c, 0x4db6f43f, 0xf648db32, 0xdd2b179a, 0x83ddd6b6, 0x085603cf, 0xd9ee2eb4, 0x15bfee34,
+    0x7a4754c1, 0x4068b832, 0xb39a7953, 0xaddff2ea, 0xe1fb9ae3, 0xdfc96c91, 0xf6a9f1ff, 0x1f25567d,
+    0xf9ae0a28, 0x4806f23e, 0x41fc55dd, 0x2b16f1e4, 0xb2e5b8ce, 0xb524981d, 0xb26f0fd9, 0x6790e1e7,
+    0x1fab81f5, 0x4cfdae15, 0xe259c29b, 0xbe253a98, 0x7227829d, 0x3ee9e085, 0x34a94d5d, 0x225f2496,
+    0x7f4d1a5f, 0x452a18a7, 0xe17eb4b3, 0xfebad09b, 0xe82eaa19, 0xf6642c03, 0x18834dfa, 0x5ff35344,
+    0xbac801a4, 0x6a93160a, 0xfee42532, 0x4e45eafa, 0xb7e6c0ac, 0xde918fec, 0xf6a7ccfb, 0xb5872040,
+    0xe272e2be, 0x4ce2f06d, 0x6bd6ffb0, 0xe6a6b1cd, 0x29109667, 0x84e4223e, 0xbada5b92, 0xe2c718da,
+    0xf8430d44, 0xe4e31821, 0xf8f4e514, 0x6605658b, 0x5fc7b50a, 0x92e38a1f, 0xe97d6f75, 0x95a36644,
+    0x6b8e9f05, 0x48df17d1, 0x9e4c6135, 0x2d75fda6, 0xf887c7fc, 0x3f701718, 0x2e7af7e1, 0xe6576670,
+    0xd3541e92, 0xd3f908ee, 0xb05a6151, 0xa1adbc51, 0x4a927f6e, 0x2e45d6d5, 0x926ee521, 0xa1e22127,
+    0x3d0cc70e, 0x6af8d8cd, 0x10495bb2, 0x908f1a42, 0x9f234ce9, 0x71553aae, 0xd330d07e, 0x3e12c89e,
+    0xf598f756, 0xd1ba88be, 0x8f64d04e, 0x351548c8, 0xe3663c8c, 0x8d5ef89d, 0x491ee198, 0xd891c9e3,
+    0x18757b70, 0x4548dba9, 0x6efa6515, 0x6cd3c101, 0x5b639697, 0x721201cc, 0x416c1a14, 0x355803c4,
+    0x31484b31, 0xe36a6ac1, 0xa680620f, 0xc752aab3, 0x076dfa32, 0x7f090014, 0xcf23ccd4, 0x1726472e,
+    0xa4abaa45, 0xb542d24f, 0x768bd9df, 0x9925c317, 0x00a38e79, 0x9162d572, 0x209f2ee3, 0x5441c4d5,
+    0x21d5167e, 0x3b006a56, 0x6fc8d733, 0xce8c1cef, 0x9dc23e56, 0x04bcf2db, 0xbac31ff3, 0x789bad8e,
+    0xe88b8ef7, 0x956b2215, 0x33baa99a, 0x8ea07794, 0x214c34b8, 0xf6ce6c79, 0x108c7d1a, 0x07da3726,
+    0x03d3ad96, 0x3c1853f6, 0xd9253df9, 0x59a041f2, 0x8101c9a2, 0x044deb60, 0x850ef299, 0xdf48dc8c,
+    0x90042125, 0xd66b5700, 0x025e9297, 0xbf81923a, 0x5e02f06a, 0x3da434fe, 0xa1535214, 0x9602881c,
+    0xf17200b0, 0x839a77d4, 0x792cae92, 0x82e413cc, 0x4e909549, 0xd9cc1093, 0xc2d2a61a, 0x14fa9cb2,
+    0x25c61e61, 0x93be92a3, 0x6b874e89, 0x5e181dbf, 0xcf7a6c55, 0x3d9d083b, 0x91683e51, 0x9ee575dc,
+    0xa8b67e97, 0xaefd87c9, 0xeff5f374, 0xaf4f0004, 0x5a10fe13, 0xe30f6def, 0xe346a40f, 0x85f2b3f3,
+    0x47abebde, 0xd4643539, 0xda93c667, 0xdfb5d3e5, 0x34a80ea1, 0xf82b9685, 0x4c8e3a9b, 0x96982395,
+    0x1d318978, 0x5a51ff3b, 0x6cfdc3a1, 0x79ccee26, 0x39012df9, 0x169a65c2, 0xdbddf3d1, 0x94a0ce6b,
+    0xe9905a18, 0x16b1b177, 0xfff2acd9, 0x06525b7f, 0xc1bb9f8b, 0xf59fe1d4, 0x95b00554, 0x29bdb497,
+    0x60ff983e, 0x67c84f73, 0x902ad2ae, 0xd5d0cc17, 0xc64fa45c, 0xd4ce245f, 0xbafe6c30, 0x44af66b8,
+    0x1d235270, 0xaeaf71ea, 0x1f8486ce, 0x2a9996bf, 0xff573a64, 0xfc33f63f, 0x853af2b3, 0xda6cceeb,
+    0x00000000,
+    0xfdb4cd95, 0xbf6ff4da, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000348449143727040986586495598010130648530944 */
+  { 0x00000000,
+    0x0570d80a, 0xe48f122d, 0xaedc0fb3, 0x466886d6, 0xa622911a, 0x84c48114, 0x4c93b42e, 0xc6da18e3,
+    0xb3904781, 0x2cc00d2c, 0x8d737338, 0xbfe0c062, 0x6aad6b09, 0x6cb733cd, 0xf5abcbc8, 0x14281dd3,
+    0xa0332e0e, 0x2e8962e0, 0x3e3ad029, 0x7a55f592, 0x476bac7d, 0xe7a177dd, 0x19bacbbc, 0xdaea0629,
+    0x7eb4d84c, 0xc672724f, 0x5f2afe13, 0x737fded4, 0x8d32c97a, 0x374b7c5b, 0x8f308e42, 0xeb4210c2,
+    0x478ca4e6, 0xa577c8a4, 0xc6ce9049, 0x4175db7a, 0x97844213, 0x592db5be, 0x8cc19c85, 0x6983fbbf,
+    0x22d098e0, 0x590fb5a4, 0xaa73c17b, 0xeb8f50e7, 0xe740f92d, 0xa72a0e39, 0xd6d75e1e, 0xdcd8536c,
+    0xbb378a12, 0x0633c5e5, 0x5a2fd99a, 0xf1400966, 0x01a22d97, 0x2549eff2, 0x81ac50ad, 0xa9912185,
+    0x36f89513, 0x0d874c47, 0x836ca468, 0x69f5e8ed, 0x08201cb7, 0xfede4ec3, 0x94de74f2, 0xd8649786,
+    0x8d2dd473, 0x55c7a3d7, 0x324324f2, 0xf7c26c7e, 0x3b4767a3, 0xbb523df3, 0x66675157, 0x74269568,
+    0x82c23cfc, 0x8861e0bf, 0xf9e2213b, 0xa6f09d8a, 0x4c5b380c, 0xe85cc9e0, 0x897e87fe, 0x81bd008d,
+    0x5aa9d30a, 0x6221f599, 0xcff98e39, 0x7a0d01b9, 0x1c144cfd, 0x8fda61e9, 0x7c9db75e, 0x3d910fd8,
+    0xb5e1f631, 0x97d32eae, 0x1f8f8abe, 0xec9a5bf6, 0x3d540a0b, 0xc8695942, 0xe253fb04, 0xc7a161fe,
+    0xaae154f9, 0x4c106194, 0x8cb1d67f, 0x57ba6a71, 0xbc168a7f, 0x76a8a499, 0x00527a70, 0x56d68f71,
+    0xb062c167, 0x7670c427, 0x3532b2fd, 0x439a3e6a, 0x31310088, 0x26f0b9dd, 0x29f705d0, 0x01e9f5d0,
+    0x8f67ffbc, 0x55d1987d, 0x1254602b, 0x7d9a683c, 0x84d5af38, 0xffc8e8e1, 0x72b6fd25, 0x0a983a02,
+    0xc9664a17, 0x8956d99f, 0x091e6093, 0x1ecf7964, 0x076910ea, 0x14e9c253, 0x982527d0, 0x78e214f6,
+    0x901d5a30, 0x02e36102, 0x651e7de5, 0x2d85634d, 0x1056160e, 0xd496a03b, 0x7b4796ee, 0x583aa6a0,
+    0x174b71c6, 0xad086f32, 0xd5e55642, 0x7bcb868a, 0xbe931576, 0x894d9f38, 0xb98becee, 0xd75c52e6,
+    0xed09c889, 0x990f4827, 0x52a92215, 0xda7e2b0f, 0xc312bc7a, 0x9a75b9e5, 0x996b9444, 0x49b52109,
+    0xf2f8ad69, 0x2efe00d5, 0x6d3d71fc, 0x4780dbfc, 0x7b0b459a, 0xb576481a, 0xfdd906da, 0x45f1eb54,
+    0x7919afcd, 0xb0aba7f8, 0xb5dc8a40, 0x34a12a17, 0xd145a290, 0x8ddb4125, 0x4f31c3fa, 0x95986829,
+    0xb149281f, 0xafdc65ee, 0x56323d13, 0x657445e6, 0x93fbdf75, 0x2e11dc89, 0x8f7af46e, 0x236735e2,
+    0x5547beb4, 0x1611ef0b, 0x5803cf47, 0x1a231682, 0x202350e0, 0xad0fb74d, 0x30e89186, 0x8fd5ca42,
+    0x07d71a6f, 0x28e7f6dc, 0x895b09e4, 0x1e5d83d4, 0xcb6db722, 0xfe61fa9c, 0x589e9936, 0xa7d593e4,
+    0x02c18206, 0xd2cab0d5, 0x720a647c, 0x2d63d218, 0xae418536, 0x226f16e5, 0x754a5700, 0xa9b1576b,
+    0xfa79a21c, 0x51dd429f, 0x5bf72323, 0xc4375346, 0xea76e71a, 0xcd2336d2, 0x354ae020, 0xe12c666d,
+    0x23913869, 0xd592bedc, 0x5b91cc5d, 0xdc97cabd, 0x76e28a6d, 0x10ae4066, 0x97adf51e, 0xe50b2362,
+    0x7d967e68, 0xd7e49f7b, 0x015d7f18, 0x074fda1d, 0x3fd2ee2a, 0x6e61c59d, 0x3703a07b, 0x042ce9ea,
+    0x2f029d85, 0xa24e06be, 0x7a1ea32a, 0x8d55994d, 0x2cca8b1a, 0x016fe641, 0x786ce593, 0x726d7bd2,
+    0x6becedfa, 0x3796c96a, 0x54ff977b, 0xbdf81c76, 0x0a3d6a00, 0x19d495d3, 0x2395c9e2, 0xba933be6,
+    0x3f9cb0f7, 0xc51f2ea4, 0x9bc8c38f, 0x4688038e, 0xf7329ead, 0x29ae016d, 0xaec182b7, 0xd8b9f97d,
+    0x29715b72, 0x10b9e59c, 0x82225651, 0xc7bf4bb3, 0xd5e59379, 0xaf781f61, 0x52783235, 0x42c10c65,
+    0xe4877a97, 0x6d688d4d, 0x5a40f521, 0xf035016b, 0x2a7288a0, 0x8e7b105f, 0xe0bcfa29, 0xbf5c25c5,
+    0x373f486b, 0x6908380d, 0x3c9946fa, 0xeba28bb5, 0xa94139ad, 0xe08fdab6, 0x119c024f, 0x990039b3,
+    0x74523c64, 0xb6b049db, 0x786c1092, 0xb01c00e5, 0xfa8415d1, 0xb67b3431, 0x24a910c6, 0xe6f45bd5,
+    0x66ee4ff6, 0xa6d157b6, 0x35eca8d0, 0xf8e4136f, 0x4d5c9f44, 0x242f651a, 0xdfb720f5, 0x52a8dae6,
+    0x77538c1e, 0x5fdbce6a, 0x521e9f40, 0x17d0e5e8, 0x1442b9a0, 0x24f0e14d, 0xacf0ad77, 0xdef317f5,
+    0xd4af9e8f, 0xae508cd1, 0xebb5a04c, 0x7f4d4e0d, 0x2ad187b1, 0x053c9f38, 0x444040f8, 0xa484860c,
+    0x526eaa23, 0xe8a61a3d, 0x21e825c3, 0x593f0043, 0x13b5a68a, 0xe49c90f5, 0xbb772968, 0x9f06b578,
+    0x4b9065ca, 0x2c95c6dd, 0x4f8e0ebd, 0xebf97e86, 0xf760942c, 0x049d02ea, 0x22912807, 0x4f371122,
+    0xf550e931, 0x44e60f9f, 0x077f704e, 0x8a589395, 0x7e888de2, 0xbf5107b3, 0x805b2869, 0x37cf22bd,
+    0xb8b33397, 0xe74abf3d, 0x1ab2fbf8, 0x9d3bb171, 0xf8233498, 0x20ee2922, 0xe34fc8d8, 0x0e09b48d,
+    0x282d1a09, 0xbfc9be4b, 0x02581d34, 0x41c74f4a, 0x643ac23e, 0xf0e5e7c8, 0x1c1e3fd9, 0x16cf5b03,
+    0x02f74da1, 0xfd9cdc22, 0xde2b82b9, 0x8f801c8d, 0xd0fe36ce, 0xe9cb1d10, 0x2e738158, 0x167c04dd,
+    0x0e5589e3, 0x2da03e5d, 0xf9a141e0, 0x43c730c0, 0x2e0bb3d5, 0x64087c3f, 0xa363fe48, 0xe622d7ca,
+    0x4e444dce, 0x5f0bfb6e, 0x6e07594a, 0x27920527, 0xe9d01a64, 0x8a79307e, 0xb8ccc8ec, 0xe65e3f86,
+    0xa24a9d5c, 0xbd9835ec, 0xc59e1212, 0x093ec30b, 0xc5fcc9c8, 0x62246b8a, 0xaa971276, 0x13a64785,
+    0x5bea9b8c, 0x66244317, 0x73e98f35, 0x6f9cf3fc, 0x7dcb1d21, 0x1afab36d, 0xe9dda4b6, 0x094cbaba,
+    0x35170192, 0xe423b42a, 0xdeeab7a0, 0x2595fec3, 0x5cb96265, 0xc3c8043e, 0xa572056d, 0x30ee7717,
+    0x13cdc656, 0xc774735a, 0xc44fd64e, 0xe69d73a2, 0xfee2cdea, 0x0c0fb4d2, 0x484237b6, 0x29798603,
+    0x9769949c, 0x3a2b6e4d, 0x32cd640e, 0xe6aaf4ac, 0xf0f53aed, 0xac5397fb, 0x13b904fc, 0x6573ecca,
+    0x099a42d1, 0xfc9ecf3e, 0x1e601439, 0xbff13196, 0x423e0823, 0xb51a62bd, 0x5c511f30, 0xbd043de2,
+    0xc3f59d9c, 0x2d63b38f, 0xadb6f804, 0x6accf456, 0x8d191901, 0x62e37e2f, 0x04c4e199, 0x85cd0947,
+    0xe716280d, 0xec587345, 0xf3c4d9ba, 0x97c7b756, 0x6afa1314, 0xe64e3f63, 0xa7f7a89f, 0x5b545409,
+    0x7e151209, 0x53aa5716, 0x512a7dc9, 0x7bece72a, 0xe6d9e6fa, 0x17dddcc4, 0x9511e64d, 0xce860f95,
+    0xefdcbda5, 0x9c924229, 0x67aa17f3, 0xd4749335, 0x14012623, 0x8be2839d, 0xa6fb4af2, 0x747c13b2,
+    0x11aa8753, 0x41cee524, 0xae213e3a, 0xedbea40d, 0x6a996cef, 0x19eaca5a, 0x6fea4982, 0x0785e02f,
+    0x149aaacd, 0x1577f8f4, 0x8d7f742a, 0x194d5bc8, 0x57e86786, 0x4bfd9be7, 0x9babd8c8, 0xcffaf350,
+    0x183e690c, 0xa25a2e69, 0xf1153777, 0xbd9cc5a1, 0x93a09d57, 0x90360e7c, 0x84e8a3a8, 0x611676e1,
+    0xd76e1f26, 0xeaaa5e06, 0x2816c25f, 0xef318f43, 0x46b4a828, 0xf68c1205, 0xe13e5fcf, 0x0075055f,
+    0x60817ead, 0x3829efdb, 0x029e9dcf, 0xb1380477, 0x3d497b74, 0x11242652, 0xfc30efec, 0xb03f09ca,
+    0xa9236af7, 0xf4d152eb, 0x4323667d, 0xc41cb2c7, 0x061c2245, 0x73feee2c, 0x432705a5, 0xfc582b0a,
+    0xb3fb645c, 0xce0b6856, 0x650a0a8b, 0x5ddf4202, 0xf0ddc480, 0x030ba985, 0x21c61c7e, 0xcc5df34d,
+    0xeb4f0992, 0xacd5bce3, 0xa34b9a26, 0x33dc4984, 0xd12a524a, 0x5ff02d04, 0x22b494af, 0x30c1d5c8,
+    0xeb552046, 0x553d77af, 0xa1d55247, 0xa4f246b2, 0x282cd45b, 0x7a095dc2, 0x233d969e, 0x6b727ba1,
+    0xc70a493a, 0x5b9671ea, 0xb65a74b1, 0xa3328d8f, 0x88d53887, 0x9b9a57c8, 0x6cbeeb11, 0x256e02fc,
+    0x51c812f0, 0x336fc1f8, 0xa27c4111, 0x067a4c2e, 0x862dbe61, 0x013f3c9a, 0xeaec7e85, 0xd35f26e3,
+    0xd9769148, 0xa554b5a3, 0x3001b917, 0xd6548652, 0x58d92120, 0x31d9008f, 0xc270b3f9, 0x2d9f5a25,
+    0x933ea6f0, 0x23c73ca2, 0x241d526d, 0x0e988571, 0xb538bbf8, 0x6d5bf833, 0xed608533, 0x51e9469c,
+    0x6f3a8839, 0xce89d3d4, 0xa5a46449, 0x23f900fc, 0xe92d4a49, 0x2ae428a6, 0xfa7106b7, 0x05c27c2a,
+    0x2b55cb90, 0x92de2ada, 0xc0c44a78, 0x268609b2, 0xb9d5065d, 0x2f7e15f1, 0x4d91a118, 0x57ae3c69,
+    0x4ea8866b, 0xf34bbea0, 0x9db6f4f4, 0xa09d9f03, 0x2e6d38f5, 0x13aac8f9, 0x0c646c23, 0x600fd1ed,
+    0x1e07e740, 0x3b28b860, 0xd1f16a7c, 0x898a5245, 0x525ae996, 0x8df5c2b7, 0x2d239d1b, 0xc47d1348,
+    0x761e8fae, 0x165984b7, 0x225f49c4, 0x7483ea18, 0x50b367fa, 0xbf2e2d19, 0x3e5f8753, 0x6170bb98,
+    0x2a9954b3, 0x0095da5a, 0xdc30f645, 0x0bf8c7ff, 0xd3713259, 0x030a7353, 0x4976c252, 0x3d078e73,
+    0xfab89b62, 0x1024c8ae, 0x9cdc19cc, 0x3536b5fd, 0x49a25557, 0xed6a310f, 0xb00203bd, 0xaaf51e0c,
+    0xd9ade9fb, 0xa44fc307, 0xb31f66bd, 0x46147b77, 0xdc566cff, 0x9f937eb4, 0x64ee562c, 0xd069f718,
+    0xc5e3714d, 0x5e1973ee, 0x368654ab, 0x9f51b2a9, 0xc09a12df, 0xd669c1d8, 0x447ddcbc, 0x52ce368a,
+    0x3634d6de, 0x0e147340, 0x208e6ee2, 0x1034fdaf, 0x3ace287f, 0xf859e188, 0x8453d95c, 0x6ee35a27,
+    0xfb9240f1, 0xc69109c7, 0xf817270b, 0x9f08c202, 0x8ee7ea5b, 0xffc38b76, 0xbe954b84, 0x733585f5,
+    0x5079cb87, 0xfc330b82, 0xeb887092, 0x314f300c, 0xd6a5f0c9, 0x8c0f1819, 0xa4150922, 0xd2f3f0dd,
+    0x84ef5db1, 0x839ce785, 0x48476b52, 0x89bb9959, 0x1958cfdf, 0x2b53078e, 0x6d973215, 0x13863717,
+    0x31460b56, 0xc7ac60cc, 0x8ff0a212, 0xa2bf24bc, 0x4fa3b0dc, 0x5d6a9d17, 0xf1110927, 0xfdf1c16e,
+    0xb6148b6a, 0x7fcba633, 0x6361120c, 0x9d5296c1, 0xc75e8faf, 0x8962a065, 0xbc6bfd68, 0x419496f9,
+    0xebc0ce2b, 0x8251d9f6, 0x3b73517d, 0x30fd83fc, 0x7459d6aa, 0xcf9ef634, 0x0cb1fcfc, 0x64808528,
+    0xd3f3adeb, 0xd5c84860, 0x977f1c20, 0xbe2781fb, 0xd4150bf5, 0xd91f5b1e, 0x542adceb, 0x5bcfb626,
+    0xfb24dc16, 0x8c34a15f, 0x63d9871b, 0x8a56a3db, 0xaad56517, 0x068cc2d0, 0xd84e2704, 0x488641f5,
+    0x6a5ff609, 0xed847c99, 0xe7935479, 0xfab132a0, 0xec0a7bf8, 0xdd1ab0c5, 0x1d5f8934, 0x5dfc736f,
+    0x0768a6cc, 0xb81d5ec6, 0x5785990e, 0xce0921c7, 0x7a0074fd, 0x73474f4d, 0x1025ab27, 0x20acc654,
+    0x2a09f5c1, 0xc7eda333, 0xf2fbcd66, 0x5c58b28e, 0xecc00620, 0x8650e522, 0x72953e71, 0x0413f7c1,
+    0x5dbcc370, 0xc0040f09, 0x8f975d36, 0x832d1fcf, 0xc6ae7d08, 0xab66a7c6, 0x93fa6120, 0x6425c273,
+    0xf456ca0c, 0x818f9fd2, 0x6c8fd71b, 0x7e850f48, 0x96b6ecd1, 0x2c220dc9, 0x69133896, 0xf9c2d3c6,
+    0x66c53a43, 0x9e51c51e, 0x94b273f1, 0x1985d651, 0x094d24b6, 0xc9b7523c, 0x09af651e, 0x93997d48,
+    0x5c5b1b1d, 0x7b3c3a1a, 0x0de7c208, 0x445f6911, 0x1c5550b4, 0x44f2d2a9, 0xe9d9ab27, 0xd81d7f30,
+    0x338f230b, 0x0055fb9c, 0x66dc7c39, 0xbb67db33, 0xd4bf75c3, 0xc674e9d2, 0x19e41e14, 0x426fe4d0,
+    0x40ad0b8c, 0x542e62d2, 0x7565f17c, 0xea5ade03, 0x72f03ed7, 0x58b84555, 0xe3cf4997, 0x71c5393a,
+    0x52660370, 0x725548d0, 0xd171ceae, 0x36cfe5e0, 0x72b4d9e5, 0x2d8ab876, 0xe1ad5c48, 0x7750f2e1,
+    0xfce29376, 0x0671a6e4, 0xb474c090, 0xad513371, 0xf581ebd9, 0x8969d42b, 0x106890e5, 0x3fd2c498,
+    0xb6c26625, 0xe239fa09, 0x381c38d1, 0xbcaa0d77, 0xb50cbe07, 0x07c17b90, 0x6a86935f, 0x940dcdd7,
+    0xe0ab7b2f, 0xb9095c28, 0x8e2115b8, 0xeae20052, 0x27d41ef7, 0xde078cf7, 0x65d67d1a, 0x9b2f6191,
+    0xa0318c51, 0x8a6f2b2a, 0x9b53c3b3, 0x1c2e9f7c, 0xdc294fb3, 0x1eac725a, 0xd2a1a18e, 0x3ac1d5fb,
+    0xa90bc34f, 0xa964c1f1, 0xcef3eea4, 0x57d959b8, 0x96c457a4, 0xadb41ecf, 0x550e72dc, 0xcce980d1,
+    0xc84c3016, 0x8aed8344, 0xec3fa5c6, 0x1b36a474, 0xaa8cf820, 0x5995ecee, 0x72cc6b45, 0x7b68143c,
+    0x3e54a979, 0x9e44d540, 0xde630b68, 0x39d30103, 0xa59644ec, 0x7d8e6401, 0x0e94536e, 0x1b538bbd,
+    0x258d737a, 0x30efc888, 0xd5a149a4, 0x5964d78f, 0x800efd92, 0xdafc98c4, 0x981b2ad9, 0xa434ed92,
+    0x8240e3e7, 0xc6f289cd, 0x7e9efb3b, 0x255958a3, 0x7aefd430, 0x32639a3a, 0xa8a1b610, 0x075bfd47,
+    0x10e2fb50, 0x11d3411c, 0x3c5dec7f, 0xb0dda353, 0x337fbbd6, 0x1eda39ab, 0xe9bf359d, 0xea66ffaf,
+    0x2aaf820c, 0x17afa3bd, 0xfeee96ea, 0xde9275f8, 0xb7e002dc, 0x530c41e6, 0x40c78234, 0x7956c49c,
+    0x59e3197f, 0x487b8adb, 0xd2fa4caa, 0x9cd6276b, 0xbfb37e7a, 0xb5fb920a, 0xebb2906d, 0xc174da65,
+    0xc7075566, 0xf6bf2e4c, 0xff6d45a0, 0x0d56b877, 0xd7bd41af, 0x1ad6a73c, 0xc7480e34, 0x1b54df49,
+    0xbaa03e78, 0x0803477b, 0x7054a1c3, 0x9d082b31, 0x3c041c61, 0x5f37b06d, 0x8d24e8fc, 0x002d2d8c,
+    0xf39364df, 0x6e71b952, 0xf446d6c2, 0x51e30a4c, 0x3bb75990, 0xb6391643, 0x6497dcbe, 0x81439073,
+    0x79f147c5, 0x02f59606, 0x6c78cc56, 0xe28e7130, 0x4d8e5fe7, 0xa17aa89e, 0xfac90563, 0x48b84d49,
+    0x7bfdbddf, 0xacc5c3ef, 0x0628bdef, 0x3f2b6094, 0xa33ad771, 0xc11a8f97, 0x4ae5a950, 0xb9fff879,
+    0x8817eb21, 0xa64e8c0e, 0xdda02039, 0xfa5db4f5, 0x153a1ad9, 0x8cb28f8a, 0xca42c219, 0xb8ab039b,
+    0x0ebc9506, 0xdc895d96, 0xf462a6ef, 0x2db557d6, 0xd7ba6640, 0x63fa0f30, 0xf161a3bf, 0x7a679938,
+    0xcc943a9a, 0x19b741f7, 0xbb4bfcbe, 0x9df4355a, 0xd4a12cda, 0xea5cb674, 0xdb1ec508, 0x2fe57c03,
+    0x2776beb2, 0x8e0133f6, 0x2625ea21, 0xb610f377, 0xe2a4a393, 0xd46669a8, 0x992d7932, 0x45c8352c,
+    0x33e0a662, 0x37b51ec2, 0x115e68a1, 0x004e737b, 0x8c0f92ab, 0x622c717c, 0x46be6e35, 0x187e87ff,
+    0x706b1444, 0x91db41b1, 0xfb4f023a, 0xeae48f48, 0x7b8a77f9, 0xf97d70c0, 0x1d7ff776, 0x5dda8703,
+    0x8449d765, 0xbff7f269, 0x895cf9fb, 0x6adbaa52, 0x8b019dc8, 0x65224fca, 0x10087ac3, 0x0577af52,
+    0x097e874e, 0x704c7ea7, 0xbf40c561, 0x9d334f57, 0x6ac11f1f, 0xa39df95b, 0xf3936bf7, 0xa54c3139,
+    0x28d5ee30, 0x8632e5ea, 0xd79c22e4, 0x0f11f148, 0x7379d166, 0x4131810d, 0xcd908633, 0x7c20f43e,
+    0x3275f021, 0x9fa86312, 0x0cf1a0b2, 0x412caafe, 0x9774defa, 0xf8809f2e, 0xf7250a2c, 0xa47a546c,
+    0xf9901a64, 0xce6297ac, 0xe5b9db12, 0xc371af2b, 0xb3d057f6, 0x49cfcb4b, 0x598b58b2, 0xd0bb64ca,
+    0x96ec054d, 0x0a671bdc, 0x893bdc11, 0xf758d427, 0xb9ff0535, 0x8d51123f, 0x01e205f2, 0xa73529b6,
+    0x00000000,
+    0x7eda66ca, 0x5fb7fa6d, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000174224571863520493293247799005065324265472 */
+  { 0x00000000,
+    0xf7c5a413, 0x79d8d8b0, 0x3baa7686, 0x9129ce20, 0x056e9229, 0xa1220ef0, 0xd2101922, 0x766699bf,
+    0x87f389b6, 0x2c406d5f, 0xea4a80f5, 0x3780b9fe, 0xe679a622, 0xd11404db, 0x6201b289, 0x9e7a86cf,
+    0xd154e704, 0xf187e341, 0x2c86f216, 0x9a16e4b4, 0x49b45e8e, 0x764fe017, 0x47db3ca3, 0x0d5bfe28,
+    0x20a776eb, 0xb489ae18, 0x1d5a1c89, 0x20a32352, 0x1ded333c, 0x67ea1de5, 0x31192c00, 0xc7c7b824,
+    0x26825f25, 0x44b89af3, 0x4f0d3d47, 0x4b41b746, 0x4e853ad4, 0x5e1c7e04, 0x15cd349c, 0xf3463740,
+    0x065dbc39, 0x1fa85d2c, 0xe92d5bc1, 0xa281f9a4, 0xefaacbea, 0xc799cd78, 0xab7c6803, 0xbc1664b9,
+    0xf0b8b11d, 0x1731c495, 0xb64d8069, 0xef3dc2bc, 0x970d48d4, 0x37567085, 0x5cf1e0a4, 0x9cfbbb62,
+    0x7a6d8f7a, 0xa84cb187, 0xb5b0a24b, 0x5384cca1, 0x810a6cc9, 0xe81a9716, 0xa918b2b8, 0xffb22b1f,
+    0x60b61bcb, 0x2437f1ab, 0x1bd48990, 0xef88aebe, 0x891a2434, 0x3fd5b4b2, 0x7f7cdb51, 0xd7937684,
+    0x4cf8877f, 0xfb8cef76, 0x0b410e17, 0x7364ebd9, 0x1ba5dd02, 0xf62f47a4, 0x50680fb0, 0xf741b6f8,
+    0x1ac1f37c, 0xc10f1c47, 0x5bf32e10, 0x7e46da1d, 0x75b41954, 0xbd15ddb4, 0xce93c68e, 0x67dae6da,
+    0xbe08e473, 0xac73a7d4, 0xa3cabca2, 0x2c697f65, 0x86177c19, 0x7012f5ec, 0x58f42e30, 0x4e02aeea,
+    0x868c4eb3, 0x3b3f2a8e, 0x1fdb9d46, 0xf01c0869, 0x306f5e08, 0xac55401e, 0xd92e058a, 0xfaaab60c,
+    0xb92fc897, 0x954d8942, 0x5fa32034, 0xf73867b3, 0x800b9eef, 0xa8fc1e6a, 0x63828b93, 0xe89d16a0,
+    0x023ec3dd, 0xfa88666f, 0xfe922e33, 0xc19986fc, 0x12b30b70, 0x62277408, 0xf58d3314, 0x222f3217,
+    0x170e8322, 0xd0d8eaf6, 0x5088a186, 0xc6112141, 0xad6fcd32, 0x96c0cd73, 0x46e5243c, 0xe5b0c615,
+    0x70bb3d39, 0xb6b040e0, 0x37a00892, 0xfd2ad8dc, 0x386a7f4e, 0xc6c6c6c5, 0x3e0c99ae, 0xc34a299e,
+    0xc3ff6646, 0xb8aa9ec2, 0x83271a82, 0x1c3139cb, 0xaa079df8, 0x3c92786c, 0xb0758b6f, 0x7be7e8fa,
+    0x1ec0262e, 0x0d3d3034, 0xf2738f96, 0x9d833573, 0x62abc87c, 0xdb82bfc8, 0x84e0fd88, 0x1815e5ea,
+    0xfcd6f5cd, 0xdf2f74d9, 0x00dfd81c, 0x049d9ec9, 0xa884a27c, 0x8568061f, 0x24c05f84, 0x89c43329,
+    0xc7e93c36, 0xdb7cec45, 0xe07efea5, 0x09591f89, 0x61eb1642, 0x4b526e84, 0x1622fb77, 0x09464f33,
+    0x55ab2664, 0x35c6b26a, 0xe89a92af, 0xf22a7b0a, 0xcde96d3d, 0x1eb4ba32, 0x94be47c5, 0x424cf655,
+    0x5369dc21, 0x70c3bbe3, 0xe7152311, 0xb5d187ca, 0x285ccf24, 0x62e94ba0, 0x84c9e58d, 0x429bcef9,
+    0x6e142aba, 0x09045508, 0xea194ac7, 0x49cf808b, 0xc9bbe04f, 0x86bc61f4, 0x9dc33e0e, 0xfc19495b,
+    0x72e3b093, 0xf4716433, 0xb3e9e5dd, 0x8f3a6fde, 0x43cc90cf, 0x6e1f6432, 0xafadd987, 0x0104ccc3,
+    0xcf184942, 0xac9a1c57, 0xdd5ca638, 0x7de7b0e8, 0x1aae862f, 0xfca3796e, 0x8bb4a5ea, 0x8630d646,
+    0x6f730d58, 0xf6f534aa, 0x86724159, 0x2a32ffd0, 0x5402613a, 0xbf66a2f7, 0xb8badf92, 0x5a8b1e69,
+    0xa5975c69, 0x59b36783, 0xde832925, 0x8879eee5, 0x01cf343d, 0xb847d659, 0xced4daf9, 0x57a45c2b,
+    0x47e0ec33, 0x0237f142, 0x70fee896, 0x9f93a036, 0xd744ef87, 0xa990d337, 0xd36d84f7, 0x2026cb6c,
+    0x7299f916, 0x6d08db60, 0xc0771e57, 0xf54d5321, 0xceb7d322, 0x3c3d80c7, 0xef899fc1, 0x3115267d,
+    0xb02b9257, 0x00850c09, 0x6fe1a837, 0xfd6d8113, 0x47f53f0d, 0x743f19cf, 0x5279a123, 0x0626775d,
+    0x4cd40bef, 0x54d8dcee, 0x871b04d3, 0x85fdd440, 0xf11404af, 0x28b285ec, 0x78152322, 0xf3f91e3e,
+    0x2ab332e5, 0xa5cf101c, 0x77d61891, 0x85009c9e, 0x4e22ff05, 0xab802f35, 0xe816cd85, 0x0e880388,
+    0x1d7efe3e, 0xacc4cefc, 0xc8b4a3d2, 0xb55f011c, 0x26069368, 0xc33c64da, 0x2e39eeaa, 0x1224978d,
+    0x85794db7, 0x33e1acb8, 0x7a524b9d, 0xf5c8f99e, 0xeebf565d, 0x074a1ccf, 0x30a223f8, 0xc61ec2ea,
+    0xe5394757, 0xc4e49441, 0x4c569ce6, 0x11a63f7e, 0xcdde2811, 0xcf162594, 0xa79119b7, 0xf8ab8f8e,
+    0xead945ed, 0x2dcf9048, 0xa0304aa8, 0xeade94fe, 0x9713f300, 0xf1ddcfa9, 0x2e213a60, 0xc4f5e07b,
+    0x228d4d47, 0xdacbd00d, 0x6894b338, 0x809f35a0, 0x46565e97, 0x8c6c52ec, 0xdbfa727c, 0x02e2a81a,
+    0x94b5699c, 0x2ac157c8, 0x1e931dd4, 0x69f09216, 0xe96c6fa4, 0x661dbc02, 0xe8ce24d1, 0xe137c140,
+    0xdfea83b8, 0x95b7a3d7, 0xd5da7d49, 0x81d25c92, 0x21fa5c7d, 0x22ac6b8c, 0xa14e76d1, 0xf3bcec20,
+    0xc2bd1e5e, 0x80a525df, 0xf0481e9f, 0x5375bfc7, 0x5575852f, 0x00702bd4, 0xff853244, 0xe1190d73,
+    0x07088bd9, 0x90dbd6de, 0x9208ba2f, 0x0cf12bd6, 0x4d76c719, 0xfee6d75f, 0xbf85e0bc, 0xac77441a,
+    0xf3ba0fa2, 0x78ff7f81, 0x6f78bd78, 0x05e19cd1, 0xc02aa2dc, 0xb154c6bc, 0xf10b29f1, 0x9616cf8d,
+    0x9fcb8bb7, 0x4712f0e5, 0x9dc4286e, 0xbda82666, 0x6b41ffd6, 0xd99e0f0f, 0x1ff719e1, 0xad984a86,
+    0x5dca5ec1, 0x870fd83b, 0x22c56632, 0x328a8276, 0x81d8387a, 0xab391439, 0xc346e859, 0xc151a80f,
+    0x25834217, 0xd5b007dc, 0x2f92715d, 0x4f71b0e2, 0xbb2ace5d, 0x69ba6272, 0x364418f6, 0x25644134,
+    0x0594c75e, 0x1cf37f5e, 0x80d7cc73, 0xbee03512, 0x16e83975, 0xff4e39fe, 0x62995224, 0xbd4ed9d8,
+    0x5789081b, 0xf0837070, 0xe736426c, 0x1eb422cd, 0x8a56ff14, 0x44b9fc34, 0x47295b7a, 0x14a191c9,
+    0x409337d5, 0x1f401f6c, 0x70847aa3, 0x4549df57, 0x3079d957, 0xc7df4049, 0xba40b0c0, 0x193007a9,
+    0xa047cf55, 0xac151d47, 0x1cb09000, 0xe9a159e5, 0x72df3c7f, 0xbeee8f34, 0xa8348e7b, 0xee6068b9,
+    0x9651c795, 0x6a6079cb, 0x0a94361c, 0xd118f0e4, 0x005a44d8, 0x095aa7ee, 0x30adcd7e, 0x0b36812d,
+    0x7e77db81, 0xb01cf99b, 0x5eac6ce6, 0x2af62d1c, 0xafa72e39, 0xb6e5b90e, 0x478dd04d, 0x225f70d3,
+    0x6a8dc62b, 0xb4db1fd7, 0x8740e8b6, 0x039e9465, 0x4226b154, 0x9f63e68d, 0xefbdb849, 0x28c89717,
+    0x6fcc5f6b, 0xe6f920e2, 0x34e673d3, 0x5ab0261a, 0xc0d5ff43, 0x41686ae0, 0x6b9ff679, 0x65fb0e1c,
+    0xdf3ccf96, 0xa6f5c408, 0xb79c0008, 0x7b68b2bf, 0x1fe4298e, 0x22efcd07, 0xb2a6eb4b, 0xc2a46f06,
+    0x6c4c1366, 0xb02d0052, 0xe4f0093c, 0x7c2c8000, 0xebf574c1, 0xed3e21ef, 0x996d486d, 0x6b5a601e,
+    0x7ce5472e, 0x9e5efb57, 0x66e90e93, 0xce4d05dd, 0x3bcb6058, 0xbdee6e99, 0xd89ad0a1, 0x1c482363,
+    0xcbe94bdf, 0xac4ea25b, 0x1c32cc8f, 0x4e9c6d35, 0xd7eeebb2, 0x2b9d8840, 0x53c62ef8, 0x010211fb,
+    0x9cc6321a, 0x8aae729b, 0x53740f17, 0x0a39fed2, 0x91946527, 0xe3b2aeee, 0x14858b0f, 0x20b2a209,
+    0xe4badee8, 0x931782d4, 0x2ff40aab, 0xaa333332, 0x9cb9c5c1, 0xb12c04a5, 0xeff865f4, 0xf0c6bd9f,
+    0x33d871db, 0x3f5e5484, 0x115f2dff, 0xa774b796, 0x8c101dfb, 0x874f04af, 0xac285940, 0x47a51d11,
+    0xa266b998, 0x7d05462f, 0x3bee8928, 0x4c82f8d6, 0xd64f9795, 0x5288fcf0, 0xeb2c23c5, 0xdea6f41a,
+    0x465e898e, 0x33ee95c1, 0x056f37af, 0x64200128, 0xe83f2cd1, 0x97a861eb, 0xc5b75414, 0x713cc962,
+    0xd98ecb63, 0x94849d63, 0x7ccd77d4, 0xf827dd8f, 0x907e8ff9, 0xed4810cc, 0x88e4cc44, 0x7c8ba24b,
+    0xa6c0ab48, 0xa348664d, 0x52b29935, 0x0e67e59a, 0x3c3f4da2, 0x48376c2f, 0x0cbb9b08, 0x1960f216,
+    0xe21a32aa, 0x807cae34, 0x23f08989, 0xed241d12, 0x8fcff232, 0x508799c9, 0x028a5562, 0xb2fc059f,
+    0xdbd0fc1b, 0xe1d07a62, 0x8cac455c, 0x985bc765, 0x0b03151b, 0xc9582a86, 0xf48dcf0c, 0x06d84404,
+    0x3d96cc17, 0xaefa90b1, 0x467e2d2c, 0x451d3154, 0x170f8f61, 0x23722833, 0x621656e1, 0x5ced2155,
+    0xf2f424e9, 0x35258c93, 0x45c95fef, 0x4ea14e5d, 0xd6550a28, 0xef7d89ac, 0xb4fbadbe, 0xaa147eee,
+    0xa42f5c34, 0xbe8b8831, 0x9e0dd5b9, 0xbbb63970, 0x3af0e923, 0x6e61b4a6, 0x76041dc7, 0x8b32a52d,
+    0xfff1b8c9, 0xe419efc1, 0x3a6b251b, 0xaccf03a9, 0x22d262ed, 0x764cbc90, 0x49a45d9c, 0x49393c02,
+    0xfa8aca52, 0x52118fbf, 0x61fccfb9, 0xdcc134e1, 0xf1af62c0, 0x3dad7289, 0x80385ab0, 0xcbab5248,
+    0xb1f998ab, 0x52abbe64, 0xc9a5865d, 0x7c8bfba4, 0x072c9a66, 0x0bba7ac1, 0x60d99074, 0xe132d280,
+    0x661c6450, 0x10a11e8d, 0x6ade0e95, 0x043c79a7, 0x08a62f6b, 0x5ba64134, 0x2187f9a8, 0xe6dc77e2,
+    0x2cb15e1e, 0xb0c68ce5, 0x2f014ac9, 0xb5f4b6ef, 0xd975f5f8, 0x2472e07e, 0x2d05372d, 0xb910a01f,
+    0x62a1ca11, 0x3ae875d3, 0x5c180201, 0x48599af9, 0xb2469061, 0x666e90d8, 0xbd1e62e6, 0x3f8c8ce3,
+    0x35ba6c96, 0x1aee06e3, 0x3ae478e5, 0xf908b8eb, 0x83c5dace, 0x499a5270, 0xbcd309f8, 0x288f9127,
+    0xb48bcf0e, 0xe70ba25f, 0xadebde69, 0xb9686c0c, 0xc2a713aa, 0x12bd7a6e, 0xe31c309b, 0xcce667f3,
+    0x4a940570, 0x084e37dd, 0xc00662b4, 0xff54600b, 0x27cd764b, 0xd427e5c4, 0x8dafa05b, 0x5b0b6396,
+    0x5292b998, 0xec27ed25, 0xa5e80513, 0xf6724990, 0xabd892ce, 0xa81c1107, 0xe32b75de, 0x661c577b,
+    0x4d6b6031, 0x13daa7eb, 0x99804167, 0x5a1ceaae, 0x236c8210, 0x0659184e, 0x7a59e923, 0x6a0a2e2c,
+    0x229145ab, 0x5a430705, 0x4ed79b76, 0xe9161bac, 0x7815c4ea, 0xafc4783d, 0xd29862e2, 0xe0b1fbf5,
+    0x571a68eb, 0xb3f7ef51, 0x4196eaae, 0x33eb2823, 0xb9e66cf1, 0x77fc893e, 0x4fe98a99, 0xc725f53b,
+    0x4f50ed06, 0x51166927, 0xe4b6f99f, 0xddc04bd1, 0x9541d8cf, 0x4e5702eb, 0x603c1fdf, 0x5da8ab76,
+    0xa5e73811, 0x8a19127b, 0xaa438cda, 0xe7cdb967, 0x8c54e1a1, 0xa41fbd71, 0xa5dc2bb5, 0x8f2f1df0,
+    0xef954030, 0x3eff28c1, 0x570a855a, 0x221ce7c7, 0x746e2c2c, 0xa2a2bc5b, 0x7056e519, 0x13fc5f5d,
+    0x76ea5a24, 0x41df8262, 0xb9c7426c, 0xa58b852e, 0xcf1dd242, 0x0ccb7be6, 0x01e2aebe, 0x39b3f9b2,
+    0xc41e4ade, 0x08f43a7a, 0xb133f05b, 0xdc82ca6c, 0x4b8105db, 0x205b2570, 0xbd54ca81, 0x9b24888d,
+    0x8e14306b, 0xf3b08d19, 0x191b3e24, 0x6d8bbb09, 0x6fc6351c, 0xf9ff7190, 0x637adb89, 0x5b0cdc2e,
+    0xcb9a3201, 0x77832ef0, 0xc7f8b821, 0xf75d6f3c, 0xd7ac3900, 0xe4a26f06, 0x11af10de, 0x8f934ca8,
+    0xc8e38a4c, 0x16d3d7f9, 0xa6b59f48, 0xd4298cba, 0xaed02299, 0xda33f23a, 0xbba2ea2b, 0x691175ba,
+    0x35405b9a, 0xd4077f87, 0xe551b3c6, 0xe03e702d, 0xebe28d97, 0xf5aafe40, 0xd7ea4a0e, 0x2ebb4d4e,
+    0x40f255d5, 0x9e5bcde3, 0xa5294224, 0xbc2885e1, 0xf81aa917, 0xc66b7e47, 0xf422a219, 0x8f14867c,
+    0x9d5ac2d1, 0x8011762f, 0x740c7d68, 0xa9601645, 0xc1a0eab6, 0xe306c4b3, 0x8f4d11c6, 0x53a779b4,
+    0xc4c38573, 0x591644a2, 0x8ac8b07f, 0x3ef59962, 0xd9a5e140, 0xe3c5df63, 0xc59b4264, 0x5afd87b2,
+    0x0a93df8b, 0x99c17077, 0xa91ad5f2, 0x2bda6310, 0x6f8b60f9, 0x7761e096, 0x1f433104, 0x899f8720,
+    0xc06a05c0, 0x41938026, 0xfcdb6330, 0xd49de853, 0x1a861d72, 0xef3ec397, 0xfc44c921, 0x0790afd7,
+    0x38632a32, 0x21199d56, 0x89c1a3c8, 0xcb62ba62, 0x73ad035b, 0xe0e03a41, 0x2d3addfa, 0x1c874307,
+    0x032af8f4, 0xd431c002, 0x1124141b, 0x19c62d55, 0xde4623f0, 0x81843f29, 0x45d8aaf4, 0x5309bf51,
+    0x8f24c1ad, 0x7ae704dc, 0x0176ef2f, 0xe6b6f536, 0x4dcfc13e, 0x1207a015, 0xed0bbdf2, 0x475219ce,
+    0x02fdd731, 0xe46d64a4, 0xe0c8efeb, 0x9acf82df, 0x422bce86, 0x072ed0d0, 0x3303981d, 0x6aa876c8,
+    0x6215f08e, 0xfb13e58e, 0x7d9cb3ae, 0x3af4d98f, 0x0f25337b, 0xb5a1fef0, 0xc46eeab9, 0x7620b9f5,
+    0x96a23ebb, 0x4784093b, 0xd0b1fe27, 0xc1570c16, 0x7a6fea7b, 0x0f1c59c8, 0xfea393f9, 0x5b132260,
+    0xe689c13f, 0xe4787b6f, 0x8a864cd6, 0x0910768e, 0xafe89120, 0xc18ffbb6, 0x7c99ffff, 0x8264a1d7,
+    0x5f51d34e, 0x4dc96ae5, 0x6ac3e7b0, 0xeddbe85c, 0xb8f4cbc1, 0xb928a51b, 0xbb824bb4, 0x55673931,
+    0x8ea960ac, 0xbdcf9f85, 0xd5114458, 0xc0227151, 0x57afbfdf, 0xf7902d47, 0x88328cb1, 0x5b709abc,
+    0xd25e81e6, 0x24cb8d2f, 0x4ebd3caf, 0x27711f2e, 0xa14ba766, 0xe837e823, 0xc5b9d7e2, 0x54390674,
+    0x5f793f57, 0x9a4814a7, 0x533b7020, 0xccd508c2, 0xa72f7406, 0xde328dd9, 0x544685e4, 0xfbe10a35,
+    0x848413bc, 0xe3222b21, 0x32dca896, 0x79a28e3c, 0x4047dd28, 0x03f0b0f7, 0xcad8bfc0, 0x413f2821,
+    0x47d80485, 0x099d2a24, 0xba8a3a9e, 0xb0509a2f, 0xf000fb4b, 0x3863d7ba, 0x899170b5, 0x07d704bb,
+    0x8e294c7a, 0xa6f34293, 0x1f805c30, 0x9427a059, 0xf053e269, 0x7eb297cd, 0xd6b96717, 0x6bee6c91,
+    0x78587498, 0xcfc73282, 0x37860b34, 0xa410605d, 0x50ae1e0c, 0x73f72e12, 0x29344df0, 0x1803b33b,
+    0x0b5f2e42, 0xab20cffe, 0x750dc2c6, 0x420cb62d, 0x6ca41bf8, 0x33bf1167, 0xa9cd749d, 0x9d6b6c1a,
+    0x0b2d9842, 0x9f978fd3, 0xa61cfbc1, 0x941b1325, 0xdd7b1f73, 0xb2ccfe99, 0xb139b5e2, 0xd3e36a93,
+    0x8d3838e7, 0xb868a55a, 0x866855d2, 0xfcbf57fd, 0xc1488e61, 0x149aaf35, 0xc344ff79, 0x300b8147,
+    0x26d54cff, 0xaa89c416, 0x5049d978, 0x2e20d0bd, 0xe02daaee, 0x9cd28023, 0x1a84abb8, 0xfcc9c561,
+    0x461ffbbc, 0xc334d6da, 0x7efa3c34, 0x3a0eed62, 0x78f10d50, 0xdd4fd8f1, 0xc88f8b9c, 0xe4207658,
+    0x9f87a822, 0x896f6f19, 0xb9ed9203, 0xedec723b, 0x4b57c8b7, 0xa7640be8, 0x88bc99f1, 0x5888ea45,
+    0x2c030fca, 0x7f435f3f, 0xa2b91a5b, 0xf65de924, 0xdda4d027, 0xf532245e, 0x849372ef, 0x93a72e26,
+    0xb7dee456, 0xe59c68db, 0x26c28be7, 0x5c445578, 0xae8c9560, 0xc64636e5, 0xa3a8cd2f, 0x150a1853,
+    0x8843233a, 0x39bed2cb, 0xb51dd42c, 0xca2b4fed, 0x542f6139, 0x4998178b, 0x468295b4, 0x98ac2219,
+    0x6fc2c281, 0xc528a58a, 0x6624a606, 0xe518ad23, 0x1993dba7, 0xfe044153, 0xa1b0de91, 0xfff2de86,
+    0x94641477, 0x08743c03, 0xb1ba9936, 0xf07e28e8, 0x75e8642e, 0xcc101781, 0xc6575f54, 0x1727ba24,
+    0x92c155f9, 0x8f498bb1, 0xe6ff119e, 0xee3745c6, 0x1e755c3a, 0xa3ff27e5, 0x0b0dabc7, 0x1178d453,
+    0x6b1086c6, 0x6d92a4cf, 0x48c0d914, 0x8cbe4822, 0x4b723954, 0x3de1a820, 0x86515655, 0xfbec1bed,
+    0x20bed188, 0xea2f0784, 0xd66f4ea8, 0x7eab6a70, 0x8adbfee6, 0xbd4b7593, 0x79133f81, 0xcee4e2d6,
+    0x00000000,
+    0xbf6d3364, 0xafdbfd36, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000087112285931760246646623899502532662132736 */
+  { 0x00000000,
+    0x56cdcd68, 0xbd48e7a5, 0xd6cc8f62, 0x56f14d9d, 0x664bf8c4, 0xdd3c8668, 0x2adbeff3, 0x93c1c3ac,
+    0xc83b3798, 0xffde9e61, 0x4483e2a7, 0xea9b361a, 0x6498e9b7, 0xc5d9adb5, 0x508bddf3, 0x40329920,
+    0x5409c126, 0xc06d0044, 0x814a3c86, 0x106e1b08, 0x953bb519, 0x63a30cdd, 0x2e5d224f, 0xa1252840,
+    0x5b04ccda, 0x1b0f1564, 0x558bb30a, 0x2b7fb778, 0xf5fc2269, 0xd6fc84ba, 0x258631f2, 0x1d8ac155,
+    0xd8cf3526, 0x4cff7aa4, 0x2815cafd, 0xeb2a6e13, 0xc0359a7a, 0xff0b2011, 0x0b9a357b, 0x1e0c2eac,
+    0x159f0e0b, 0x6afbe997, 0xd95a0335, 0x9f5f1b7c, 0x0ef10a4c, 0x059be726, 0x56b2dc59, 0x030140f0,
+    0xb823d2e5, 0xa0a2101c, 0x78feedcb, 0xebcc512e, 0x7d6a407b, 0x3bb547dd, 0x599093de, 0x02bdb1fb,
+    0xa15bc544, 0x05808642, 0x234b1faf, 0x1b949e50, 0x915ef221, 0x234981f6, 0xa21633bd, 0x5f721bca,
+    0x3c0a1ae4, 0x9bfee03f, 0x23e7b8c9, 0xd4b7a1fc, 0xa28a69cf, 0x40e77563, 0x45028a93, 0x3a440e6e,
+    0x6762d648, 0xc7e86213, 0xc6c9fd12, 0x1a71848c, 0x739680c3, 0xc6f57667, 0x61e32438, 0x51060555,
+    0xd0594bb3, 0xd682201f, 0xe53657d1, 0x1229dc8b, 0x708ee25b, 0xcf6d6ea1, 0xd969f0ef, 0x02546e93,
+    0x09243a15, 0x6149cf98, 0x8211f2d3, 0x7294e72a, 0x8e45476e, 0x50804b7b, 0xd0f3f130, 0x658c93e7,
+    0x00569355, 0xa39120f9, 0xd8384ef3, 0x3ee538f6, 0x35a262e4, 0x2ac40dbe, 0x58a15eb5, 0xd109a16c,
+    0x16a7bd1b, 0x71645006, 0x67492074, 0x551a02ee, 0xd22ffc71, 0xe9c6fd7c, 0x4f51b0d0, 0x38bc8608,
+    0x9ef25646, 0xa7e27653, 0x21fb3a65, 0x1551108f, 0x2c61216d, 0x42718420, 0x93ae9e02, 0x527b64df,
+    0xf55ca692, 0x66313af9, 0x1ad57802, 0x8e7c822e, 0x9c46a0fa, 0x96af2174, 0x7c3b4453, 0x842c74f5,
+    0xe5bd4423, 0x9079b158, 0x6a06c1f7, 0xf4104dc0, 0x6a729fb0, 0x32ae05a8, 0xacaf17a0, 0xd8741c30,
+    0xb09d6f55, 0x75a51b80, 0x50a1b175, 0xf99bf7dc, 0x62a9920e, 0x7123a277, 0x6b6dd095, 0x00df0333,
+    0x651b4adb, 0x224d80eb, 0xb4520f39, 0x607b44a2, 0xdd39cf14, 0xb7111dc5, 0x21266f61, 0x5f94349a,
+    0x75a8af56, 0x215ab1bb, 0x1c42a6cf, 0xd689aeac, 0xaa63f9a7, 0xe945aa6c, 0x51c64ca3, 0x6b97825b,
+    0xbae0fcef, 0x5537fc76, 0x59ead87f, 0xbb7456b4, 0x7b7b9b93, 0xfd7ac1b6, 0x52d344ea, 0x643febd5,
+    0xd392ad8e, 0x17d9899b, 0x3a996b14, 0x8acaabd8, 0xb53550c5, 0xfd3048bf, 0x20a451d6, 0xc3a1b13c,
+    0xfa51f5f2, 0x51b220d7, 0x04b3b90f, 0xb52e5dcb, 0x0e6b2402, 0x9a8141ff, 0x50032a04, 0xa1a19ff6,
+    0xeda8c840, 0xba6051e9, 0x88a0422d, 0xba016454, 0x346b0f52, 0x29a2f6ff, 0xa6ba77e6, 0xe7c6484c,
+    0x8a37f756, 0xca078694, 0x3093faba, 0x8fa1f39e, 0xb48987d5, 0xc5e2ac47, 0xae635d9e, 0x4947d6fa,
+    0x50786b01, 0x8b33e340, 0x65312dbb, 0x61de3104, 0xe3b37a3e, 0x8070d839, 0x6f125a54, 0x13b46e4c,
+    0x8d5a681c, 0xf85f11f5, 0x16eb0870, 0x6a8c7857, 0x5eec1d95, 0xe80fa4a3, 0xc5b9885b, 0xb2e290cb,
+    0x64ce6333, 0x13411fec, 0xc71e6911, 0xcb457683, 0x924c9112, 0xbc3f0455, 0x795276a9, 0x068cd1f6,
+    0x809ad82a, 0x3e0a957d, 0xc3392a77, 0xa921be82, 0xeecaeca2, 0x51b6bd12, 0x7744b2a7, 0xb958cb03,
+    0x3c38104a, 0xba78119e, 0xb6dbf572, 0xf21a612b, 0x098913c9, 0x1b2fe358, 0x3aa7cd0d, 0x50215d50,
+    0xdec4011c, 0x4128f24e, 0x7d1e0abd, 0x9804a721, 0xe5726536, 0x58f9f64a, 0x15580763, 0x1d0daee2,
+    0x0cdf8d14, 0x2337d14f, 0x7ca05daa, 0x6f18040e, 0xc88c1ec4, 0xe7026558, 0x4a6b270d, 0x870fa708,
+    0xe37e01dd, 0xce43b76e, 0xd64e3507, 0x85c582b5, 0x5de39e9d, 0x4c5e5eb4, 0x9be94097, 0xe4d6a38d,
+    0x1245df48, 0x54afe59a, 0x2e85505e, 0x33829254, 0xe939de96, 0x3d862c19, 0xf301d2c4, 0xb315008d,
+    0x9a42f83a, 0x20fa3ccd, 0x7cd753f6, 0xca73b11f, 0x7f134e4a, 0xc3e71f1b, 0x0d351541, 0xec49629f,
+    0x95b6c9de, 0x2d4f4d78, 0x9b6c2313, 0x9e2d8460, 0x850e1310, 0x61fa3c4a, 0xf0f09813, 0x07a31a17,
+    0x03eb18e8, 0xa21f4b16, 0xe703dd1a, 0x52b97297, 0xc70e1ee8, 0xc441a7f9, 0x7707490d, 0xad558a74,
+    0xffa0df29, 0x20c4ba40, 0x16d178ec, 0x2595b98b, 0x78b37d93, 0xd6732eb1, 0x4ba7603b, 0x051eea64,
+    0xd5171eaa, 0x7096dacb, 0xd9d90cd5, 0xc692f1f6, 0x84e5114c, 0x51421cc3, 0xde5b1083, 0x937f1501,
+    0x2777bf0b, 0x1594c75d, 0xec44f4b8, 0x6c3576b6, 0xc2c58908, 0xfc93b708, 0xdff775c5, 0x71ced663,
+    0x8743738f, 0x2c83f597, 0x6876e62f, 0x844d36c5, 0xce75b76a, 0x8334faa3, 0x36163994, 0x99059ded,
+    0x95fca4c2, 0x3164d743, 0x225aecae, 0xcdaf9f9b, 0xbdb944e9, 0x5bd43850, 0x515f2d85, 0xe43a0f1e,
+    0x762fab82, 0x30dc0afd, 0x45507d79, 0x6dd8e2e3, 0x8dea9360, 0x5134e038, 0x755c19b0, 0x01f99bf0,
+    0xc9ac14ab, 0xadb9f95a, 0xc1c70cb9, 0xac462804, 0x81eeff09, 0xc72954c4, 0xfdbdf27d, 0x91ddbef7,
+    0x52ea6c0c, 0x85542644, 0x858d3bc4, 0x61c6982e, 0xfdab9463, 0xe13964a6, 0x7e9f1395, 0xa2c8ff9f,
+    0x97a35843, 0x90e1f3ba, 0x984ded85, 0x48997c6c, 0x9d92a9f5, 0x9fef6809, 0x068446b2, 0x2a1eb111,
+    0x324fa768, 0x8a6c25ba, 0xa8086309, 0x0b072105, 0xcfb6c61b, 0x254e65dc, 0x58a06ab1, 0x00dba2d4,
+    0x6ba50aeb, 0x5b7e3d5d, 0x50f66a96, 0x7a1097e2, 0x09e62005, 0x54b57ebc, 0xb90c2314, 0x3db1ee23,
+    0xca52bd17, 0x5f9a43b8, 0x70032ffe, 0x9c878eb6, 0x99d00b6b, 0x2621c32a, 0x7bd71599, 0x10c394a9,
+    0x09fb6779, 0xcc38baf7, 0x5e4d2e2b, 0x77d042a5, 0xa36871a7, 0xfd5a266b, 0x3db475ed, 0xe23015ab,
+    0xe5d8fa09, 0x9f74d43e, 0xc5bff194, 0x339543be, 0xa4c8a2ae, 0xbc2e2d5f, 0xa1836f51, 0xf85dad62,
+    0x636fc8f4, 0xa17e9727, 0x48dbea08, 0x839ef36f, 0x3ef66a19, 0x81d07aad, 0xf95bbadb, 0x301399b9,
+    0x9b6086ac, 0x8c09333a, 0x4098a712, 0xb1c20080, 0x39d09382, 0x5e35d5dc, 0xaa8cb736, 0x2392a3bd,
+    0x356cd948, 0x13e14b07, 0xcfdb591b, 0x4f7283b2, 0xa6231111, 0x5592cc85, 0x1dd80663, 0xc60c97f3,
+    0xe0395ad0, 0xcac83362, 0xf7604775, 0x6b0561b8, 0xd5c6aa11, 0x69764b63, 0x59ac96e8, 0x5ee951f5,
+    0x7a965183, 0x32e8fd06, 0x9987cb65, 0xacc38a7d, 0xe6b76be7, 0x216277e5, 0x0ece7746, 0x09299d59,
+    0xf596ab35, 0x66a6f0bc, 0x482ee6d3, 0x38b4352b, 0x7d35a0e4, 0xd5e972a3, 0x3e1d843b, 0x008d80c8,
+    0x85beffbd, 0xfcb77875, 0x531df77b, 0xd98adb35, 0x244b10c6, 0x2a4a67ae, 0x700a4d25, 0x8fe12bc5,
+    0xb0085d44, 0xd0ce0ee5, 0xb2f356ef, 0x030491e8, 0x04b2ae1f, 0xb62dc046, 0xf9c13006, 0x725042b2,
+    0xa04fadc4, 0x4f79a52e, 0x39cc2c51, 0x13100b79, 0xe5b78847, 0x8a8ad67e, 0x121f1c58, 0xba2a2261,
+    0x64435a59, 0x8c94c2a6, 0xa461ded1, 0xab0bb023, 0x3c30bebe, 0x2376e71d, 0x78352dbc, 0x4a7b632d,
+    0xc607a081, 0x92a60da9, 0x9aa2e6d1, 0x326a064d, 0x51a3ecb6, 0x6f70a787, 0x49f735e0, 0xfe0c5f14,
+    0xe36ac98b, 0xe43c14ce, 0x18a733b9, 0xa2e6491a, 0xceed3d7b, 0x2d8a5405, 0x824f0f45, 0x1969d8ca,
+    0xbd7bc569, 0x031bb448, 0x96e6f2d4, 0xb255a4ed, 0xb6a0dd51, 0xccf7d555, 0x41fd50ee, 0x12799ec3,
+    0x65a1fb06, 0xc7a96e66, 0x7eb67392, 0xea464233, 0x45974097, 0x81a6c18b, 0x58518995, 0x6bf0a98b,
+    0xecacc081, 0x6a7b412b, 0x556ff104, 0x10aaba5e, 0x33ba3ebb, 0x872dc87f, 0x11d36440, 0xc522da15,
+    0x8e3203c0, 0x54a5ba17, 0xb400b6c1, 0x60f802b5, 0xe79902a7, 0x97d90973, 0xf3538347, 0x0518a111,
+    0xb5f39f54, 0x4ca6dfde, 0xd5cbf953, 0xdb971f28, 0x26e2aaaa, 0xff96f9ab, 0x923a4c6b, 0xa8b07d80,
+    0x6f6348c7, 0xd1ec2f8e, 0x4b87c81b, 0xf06000c7, 0xce4a5b2b, 0x114e428e, 0x84163adc, 0x40077f87,
+    0x40afec12, 0xa39f9d2b, 0x35805e61, 0x8be3412a, 0xa72feb4a, 0x9d53a42a, 0x0088f4b4, 0x8a476f4a,
+    0xf787ed17, 0x40b4b304, 0xc33fbef6, 0x212491ba, 0xab88b1b0, 0x7f132bde, 0x53833de6, 0x00aa916a,
+    0x840e213b, 0x343ae77a, 0x5f1a3e59, 0x0265f6e8, 0x6966fcd1, 0xf40edd1c, 0xfcc8901b, 0x75cc1cbf,
+    0xad68e775, 0xe387b864, 0x43f7b5f4, 0x8d04967b, 0x36bf42ea, 0xd3506388, 0x05ebd176, 0xc98966e0,
+    0x849f2670, 0x198d86c2, 0x55d43842, 0x382ed177, 0x5de8a55e, 0x4f14600b, 0x26dc8923, 0xe5f4f8b9,
+    0xaeef21d3, 0x50afe06a, 0x571f5d1a, 0xb6622816, 0x982d44e3, 0xa7a27ff0, 0x1fc76412, 0xcad5f88f,
+    0xc32da5fc, 0x2ce4fe93, 0xce17a034, 0x9a4bda30, 0x8ab1bd34, 0x150a28f0, 0x3853caec, 0xca7888c4,
+    0xc2bc68a3, 0x91e65469, 0xd9a26f0a, 0xba29f338, 0x2997c4c2, 0xd89df87d, 0x88c4563f, 0x6d57c949,
+    0xc76583bb, 0x0545308d, 0xa03dbeae, 0xbef06be1, 0x4d722c28, 0xf4e01ecf, 0x27797ea8, 0x348e6dc8,
+    0x00fdee8d, 0xad3c9723, 0x64a63cd1, 0x6034a102, 0x1cae5988, 0xc5db9d7e, 0x26e5f2e5, 0xfb7960ea,
+    0x0a4e545c, 0x595e0984, 0xc94e21a0, 0xdb31b08a, 0xce182ded, 0xa6c71abc, 0xeee1ede1, 0xef8c07c6,
+    0xf8a7efb1, 0x260a2981, 0x8badb817, 0x0daf8885, 0xf6a44fc9, 0x2b11a154, 0x19fa6e44, 0x044c086c,
+    0x5e7f96d0, 0x7881b5bd, 0x410dd2ad, 0x93c43a04, 0x74182713, 0xc2ea547c, 0x6357a424, 0x4588eb5d,
+    0x4e839965, 0x42b6642c, 0xee18afb3, 0xa23f283c, 0xf0be6c23, 0x05858f5e, 0x7ec69e15, 0x46e35795,
+    0xe9b190d0, 0xb33897be, 0xd3d932f6, 0x4aec7e39, 0x2f0ea76c, 0xb3d1bfe2, 0xd49250ed, 0xb8362811,
+    0x4fce815f, 0xed41a61d, 0x5e82b2ab, 0xa4ae25fa, 0xb48b9bfa, 0x9d37ab7e, 0xebae103c, 0xdb5c8018,
+    0xbbdcf2af, 0xc5ba8684, 0x8a358203, 0xe5ed11cb, 0x54d2a6c7, 0x0b25c141, 0x056386bf, 0xce31149a,
+    0x5afe5d19, 0x0a4da8a1, 0xf58b0aed, 0x36634c06, 0x884af032, 0x2da49b71, 0xdf8b4d7a, 0x84f01bd9,
+    0xb376571f, 0xa8bad1d6, 0xf5349e7b, 0x18efae92, 0x7f5aa43b, 0xa9a68504, 0xe55241bc, 0x20582e99,
+    0xc6d53d60, 0x9322af10, 0x9e5666fa, 0x7d049c5d, 0x07ecd334, 0x960f2f5c, 0xd9666ea9, 0x77e7d3d0,
+    0x23de08ce, 0x00b11f62, 0xd7b9cc22, 0xc361e0ed, 0xe215095c, 0x8c9b9590, 0x3b8742c7, 0x3f1ccb51,
+    0x2b60b258, 0x90a419a2, 0xaeafa359, 0x87859bd8, 0x293f8d22, 0x2c73c342, 0xc40d6247, 0x5b5ea4fa,
+    0x88bdfd08, 0x6ec4210b, 0x5f8d8db2, 0x8a6eb85c, 0x9276edb9, 0x93dfc4ef, 0xbe676926, 0x66832d88,
+    0x14d3a010, 0x9bfc1e24, 0xc6861e1d, 0x7143a14e, 0xe5e9cb36, 0x3a47b45b, 0x4dea1f3c, 0xdd75e5f7,
+    0x80c15a78, 0x220bc6be, 0x36202962, 0x7febffea, 0xb9996ec1, 0x017e7da7, 0x3f27cc98, 0xd5194794,
+    0x41f135dc, 0x05dafdcc, 0xc633dda9, 0x0fe3b972, 0x3db25fe6, 0x476ab501, 0xdb88e7cd, 0x72fbfcba,
+    0x02b39cb2, 0x9f9ae4c3, 0xf1b5a67e, 0xcc907e14, 0x1e890df7, 0xe9d639c8, 0x95252c8d, 0x4d7fa518,
+    0x90f86c21, 0x1e715de9, 0xb8c6d7c7, 0x858fe423, 0x3d7ffc61, 0x8fe2b36c, 0x59726ab3, 0x6af1f384,
+    0x63e25ea2, 0xb7c88de0, 0x33e439c5, 0x98ec1c26, 0x21042150, 0x9fa7c707, 0x5180a5f3, 0x58905b18,
+    0xc66d377f, 0xbadb3394, 0x78fdbaef, 0x738d4fb2, 0x6e0ffb9a, 0x4e95f8e0, 0x66f3a259, 0x47d805db,
+    0xdb32fddb, 0xa2e7c780, 0xfcda47c9, 0xa85408e8, 0xbcad9abc, 0x554a9185, 0xdb9a336a, 0x9353c0c2,
+    0xc8a22935, 0xbb8a3210, 0x36fb6102, 0x4a2969d6, 0xd2169cf5, 0x0ffdbd2b, 0x2955a9bb, 0xe709d29b,
+    0x9552a848, 0x213c1815, 0x9c3dca48, 0xc2ccf6a3, 0x7d573ef2, 0xb8637b98, 0x74c15318, 0xb0bf2c5c,
+    0x18e6f2d7, 0xbd4eddac, 0x6d467577, 0xa48cc20c, 0x6974bfad, 0x7b5e7861, 0xb4b29b8c, 0xbe01a067,
+    0x4d46445e, 0x669092a8, 0xffac2356, 0x8e42a12d, 0xfd1d10b2, 0x7f7241f2, 0xd7d6dcc2, 0xbf2add07,
+    0x65263a45, 0x1d63b2ee, 0xd14e1c00, 0x031ef37b, 0xf08237f1, 0xc5bae0fc, 0x1ba02f15, 0x067c091f,
+    0x590b4992, 0x21e0b18a, 0x98a4ebf5, 0xb5adaf8a, 0x5f7366d2, 0xac795f3a, 0x3e7533b3, 0x7bafdd45,
+    0xb4e61c39, 0x1cbe3ba9, 0x9eac618a, 0xe2085eba, 0x049e97ac, 0x48070ea2, 0x6f6488f2, 0x0f9bfd6e,
+    0xd4cf6795, 0x854e5265, 0xeaff35dd, 0x47e075bb, 0xbfcf99ab, 0x10fbafc3, 0xc4750395, 0x3f9e41f2,
+    0x8ae821c0, 0xd0c3670c, 0xfd1e2048, 0x72c50519, 0xe353be01, 0x97e66bc9, 0x5881eefd, 0x4f624e88,
+    0x08cdffb9, 0x260a3d50, 0x1f28f65a, 0xe3337bf4, 0xddbd4e12, 0x7e8ce38a, 0x434a271c, 0x3e6b2609,
+    0x6efa946e, 0x0373389c, 0x902c104d, 0x3d5f8476, 0xc3ef60f5, 0xf6b0d470, 0xd9d62597, 0xafead0b4,
+    0x49fffe54, 0x9ca45c71, 0xf248aef3, 0xf448209f, 0xacc3bf35, 0x03d1d120, 0xfcf43d41, 0x6de1d59a,
+    0x1a5829ba, 0x79d99e0a, 0xe7027e2e, 0xad24c47f, 0xc28bbb24, 0x02886bf7, 0xd1b9058b, 0xbfe0a0de,
+    0x26aa82ad, 0x1766345e, 0x8aed7724, 0x067baf6d, 0xd4a7e487, 0x2106ca99, 0x55e653dc, 0xb8125e04,
+    0x82fb06be, 0x48180df0, 0x33478f34, 0x0e2c1c67, 0xaee9d1da, 0x3f45d311, 0x41b801a6, 0x3e38862d,
+    0xaf7917db, 0x49c3da3e, 0xd965d58f, 0x73e6cba6, 0x682fcd5e, 0xa23ff2c7, 0x547228b6, 0xe173a061,
+    0xdb3d0844, 0xa8b03919, 0x9dd9caa9, 0x2c32dac1, 0x1053fea4, 0x947da5c9, 0x398e881a, 0x812c9199,
+    0x813f6df0, 0xf21ff6be, 0x93d534e2, 0x2b2c44c5, 0xa9c92de7, 0xfca96ed3, 0x717fdb46, 0x75d2cb5b,
+    0x3be1f1b6, 0x2182bbdc, 0x24d27ef7, 0xb59c2591, 0xea74f5e8, 0x8635ef22, 0xbdcf8751, 0x6fc84270,
+    0x5e367a86, 0xa958ded0, 0x215fc356, 0x24968e0c, 0x7644ab8f, 0xbe3b791c, 0x27c1d115, 0x6b413f30,
+    0xaf583d07, 0x06e3ec37, 0x42c96a2f, 0x0d4b6383, 0x42a343e2, 0xadf1523e, 0x5606b7ce, 0x37e6947d,
+    0x77c2896f, 0x068cfcf0, 0xda541f14, 0x08b01ee7, 0x850db074, 0x3ce172b3, 0xaa741ede, 0x190f6b10,
+    0x69417450, 0x96b1c900, 0x70beeb74, 0xfbc50673, 0x20b1a215, 0x6b0c1f88, 0xfcc37b08, 0xf4b5a81e,
+    0x42785a3b, 0x568c9b89, 0x8f4e9151, 0x24dbd6da, 0xe74cb369, 0xbd13a6c9, 0x7d378011, 0xe0b9fd08,
+    0xf89146d7, 0x2f607bec, 0x02377681, 0xcf791b69, 0xe3e0e3c3, 0x1eb22ff1, 0x3ff01c4a, 0xce55591a,
+    0x6ba57d2e, 0x0139e69e, 0x072e66f1, 0xfd4dbd31, 0xf0dd73c7, 0x0471d4bf, 0x98311f23, 0xe6241975,
+    0x00000000,
+    0x5fb699b1, 0x57edfe9b, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000043556142965880123323311949751266331066368 */
+  { 0x00000000,
+    0x4d0150c6, 0x50a19d74, 0xedc00cf2, 0xadc33f95, 0x6553aa73, 0x4f1bb86b, 0x1d52e66b, 0x47858937,
+    0x9012c729, 0x68bd0094, 0xc0547c37, 0xd32118c5, 0x9c2b2bb5, 0xc895fe75, 0x0f13b934, 0x12687bd3,
+    0x43e19e2a, 0x5ff6623e, 0xd15e284c, 0x1485cfbc, 0x2d253ca9, 0x0721c67d, 0x5e99b905, 0x1aa7242c,
+    0x3281734a, 0xee611f66, 0x03e0f491, 0x87b8b26a, 0x7d416ba9, 0x0afa8383, 0x24c617f8, 0xbbf61699,
+    0x977ad897, 0xb3ebbfe6, 0xb39326e5, 0xcea42c3f, 0x2e7af1fc, 0x97d08002, 0xf1dc42b0, 0x08c32600,
+    0x51daf9ed, 0x462f5cfd, 0x77c2f159, 0xd4b5a0c0, 0x4921ff76, 0xdba7588d, 0xc630d2f2, 0x57ab8b4c,
+    0xb8b6c2d5, 0x5c8f8451, 0x798e821c, 0x606552f4, 0x4207418d, 0x7acf528f, 0xb92a7404, 0x04e19ccc,
+    0xe7c3aed7, 0x0b7a8928, 0x5014e797, 0x8d1b46bf, 0x1038d18c, 0xed6c6957, 0xe3ead74e, 0xf0bac093,
+    0x6f0489a6, 0xdfb57e36, 0xeb8a65e1, 0xe4d86402, 0x8fed8f6f, 0xdbde5544, 0x6899a9eb, 0x8e5bd27b,
+    0xcd765a16, 0xbc4463b2, 0x32e92890, 0xe3439c42, 0xf9d7d675, 0xfcba8e5c, 0xbf823917, 0xccab5d14,
+    0x42d6f1ee, 0x23c9af0d, 0xc56fa181, 0x255f5b36, 0x44a55cf3, 0xd968c571, 0x9abb727a, 0xc40b179c,
+    0xd51167ea, 0x559e2fcb, 0x60a8a641, 0x1a0d1c1e, 0x7e60d08e, 0xa1a608aa, 0x4b9a2ae3, 0x3f289fcc,
+    0xd0a09ef1, 0x4c7441e2, 0xd62447e9, 0x7fc4bc1a, 0xd7e32cdc, 0xe1ec0a2d, 0x6fb9587d, 0xfdae16c4,
+    0x18d00cd9, 0x9103cda4, 0x1cfa7e1d, 0x6ffaec7c, 0x0135bc7d, 0xe1ca6faf, 0x98ffc22d, 0x22c40769,
+    0x8ad78538, 0x1f44420a, 0x1f64bdd6, 0x9bac8689, 0x3e95aa9b, 0x01d9d226, 0x2f3f9c16, 0x2907c712,
+    0x20864879, 0xcbdfc93f, 0xfe09e5e8, 0x35262926, 0x5625ec95, 0x4f250168, 0x2e23f93c, 0x9bdd5dad,
+    0x38632a17, 0x35c63db1, 0x292613df, 0xbc418f84, 0x274885ea, 0x5b022f81, 0x0dad400f, 0x187b35ae,
+    0x5aabcd6f, 0x14431899, 0x1bb5c292, 0x8bda6e7f, 0x9466979e, 0xd317dd33, 0x4e5804af, 0xe1f53521,
+    0x12a98303, 0x3d60593f, 0x807cd9af, 0xf7783915, 0xa4baaf04, 0x6f40bc91, 0x58fa1f0a, 0x21ee9770,
+    0xc54d24ea, 0x5c97c9fb, 0xea218554, 0xc326259f, 0x96264fa2, 0x000d3b2e, 0x348e6c70, 0x3ac400a2,
+    0xdeece95f, 0x9c8134fd, 0x235237c7, 0x1984b6f6, 0xd46eb409, 0x188b4a20, 0xe159d0f0, 0x727934a3,
+    0xd679b5d2, 0x91c0a0d0, 0xc7701d25, 0xa22b2b4a, 0xbafc0612, 0x3b3861e7, 0xa7bf2118, 0xc5aa2b50,
+    0xe3e6783c, 0xfb28ee27, 0xfe6cef40, 0xf7c7cf82, 0x23ebf69e, 0x6a543c1d, 0x5ad1b49a, 0x0ea4189e,
+    0xa990cbcc, 0xe7c957d7, 0x09e694dc, 0x75857d62, 0xb8af2c1a, 0x4901c149, 0x5103e0e5, 0x2faee059,
+    0xd2779a33, 0x44eb4c7d, 0xe12fc053, 0x5a27b6ab, 0x480640ac, 0xcf0dec9b, 0x995b9827, 0xbc907e70,
+    0x7673d54a, 0x783f9949, 0x7a704a17, 0xff33ed29, 0xfe293edc, 0xfe2a1a2d, 0xeb0738ae, 0x956a0be9,
+    0xc7fd4350, 0x017c526f, 0xfaea3459, 0xb076cb83, 0x2f21f046, 0x3c8258a1, 0x3bb93c1a, 0xae4675a3,
+    0xf7be0481, 0xce077eaf, 0xda91cf8f, 0xc5b642df, 0x6e63b32a, 0xe911e772, 0x5f40b4b4, 0x6427099b,
+    0x665bc549, 0x9983075e, 0xc3731adc, 0xe77c9158, 0x04d00b49, 0x5a4ce6df, 0x4e4569bc, 0xd49fec5a,
+    0x424bb2c2, 0x8b8b5f84, 0x904f5661, 0x2d4725be, 0x92335b18, 0xe829a84d, 0x2ba13835, 0x2d503441,
+    0x16498849, 0x464f04cb, 0xe0650f08, 0xd7e238fe, 0x1e583a74, 0xf984da1a, 0x17d73d41, 0x0f15219c,
+    0xe130e531, 0x321982ff, 0x68645d38, 0xa5060e10, 0x5d118738, 0x4fe07914, 0x4389d341, 0x952a2984,
+    0x520196ca, 0x5b5f3b10, 0x91e299ad, 0x334d79df, 0x3f904b1b, 0xea0fc06a, 0x35232709, 0xd26eef42,
+    0x3dd9ca31, 0x263bd0b4, 0xb83e4bd1, 0x00c1b275, 0x427aebac, 0xb589b582, 0x3858764a, 0xd3769430,
+    0x594b04a7, 0x731cf06e, 0x8e8ee54a, 0x7e5aa0e0, 0x7e7ec1d1, 0x9df4d500, 0xec37e37a, 0x4a9e8a95,
+    0xcf7a4070, 0xde7bb5e6, 0xe475fcf6, 0x268c6c86, 0xbaf655a8, 0x0b0a5369, 0x5dbcc4c7, 0x163bcd4a,
+    0x726676e1, 0xac483c63, 0x720579aa, 0x7eaafadc, 0x6bfe052a, 0xc4d070f5, 0xad5c928b, 0xfe808dd0,
+    0x3d57d82b, 0xf8746cf2, 0x2323f988, 0x8aa8d125, 0xda6f43c7, 0xbe4ebf3d, 0x6d0bfe52, 0x03bbd10a,
+    0x4c7ffe06, 0xcc560e10, 0x1f66aac9, 0x6a34f806, 0x2897be7a, 0x68b1e4ef, 0x72febb5a, 0x1da834af,
+    0x8e00cddd, 0x2bc503db, 0xcd953eee, 0x430934ac, 0xe1dc74d1, 0x24c8e8f7, 0xafbc1b36, 0x1b7bfb78,
+    0xb0c98bde, 0xb434d2f1, 0x9e1efda2, 0xa1581db5, 0x2d13d483, 0x520fc45d, 0x3ff5e3ba, 0xd5becbf5,
+    0xef344189, 0x8f988582, 0x5810ce28, 0xe5b7c55c, 0xa36885d2, 0xa3bf165d, 0x42b7292c, 0x109ff854,
+    0x71c4912a, 0x1df1dd44, 0x45644dac, 0x1272d620, 0x2b7c1a37, 0xba2dde87, 0xbec8faff, 0x028e37c2,
+    0x9ec40656, 0xc0aa346c, 0x5d79258e, 0x70266147, 0x73def0fc, 0x644701b8, 0x3cef4cf2, 0x08eb1b09,
+    0xf1f052c3, 0xb3aab949, 0x2d5e13ce, 0x194c6559, 0xc3d83245, 0xe620ad82, 0xba0023fe, 0x23c223f4,
+    0xc8cfd4e7, 0xf01971b7, 0x875e4ff5, 0x6fa8e026, 0xd4cd4763, 0x46e2cb93, 0x58e75256, 0xf7f725fa,
+    0xdd68c780, 0x9520b505, 0xb599e128, 0xad67f2cc, 0x3b24117f, 0xffbe7f40, 0x172f5bcd, 0x2c5e1c14,
+    0xd566fda8, 0x8db1a91f, 0xd7bb909a, 0x144912fa, 0x12fb0ab7, 0x5f4ac49d, 0x44f1dc04, 0x234bac03,
+    0xb3257594, 0x2258769c, 0x503984e9, 0x3d1c9966, 0xfe1621ab, 0x8247a3ff, 0xff9fe6c8, 0x7165acf0,
+    0xb8e4d1f5, 0x246ca149, 0x8a68ef7e, 0x026f9a29, 0x67c07bab, 0x52ed7fc6, 0x1a132c9c, 0x8b717826,
+    0x08f25415, 0xf0441300, 0x194c354b, 0xa75e1c43, 0x66535a7e, 0x7d2f2c0c, 0xa76e9857, 0x068b6773,
+    0x498ac3b8, 0x2c27b225, 0x0bd0b1a4, 0x6eeee7ef, 0xaf778b3f, 0xc9e7aebb, 0x439c52a6, 0x877c76b5,
+    0x209c6e14, 0x962543fd, 0xef8fa81f, 0x52703b17, 0x774dcaf6, 0xea7a48f7, 0x4b4d1526, 0xb40270bf,
+    0xd4aa651e, 0x90c454ee, 0x48af1863, 0x7663a97f, 0x2964c48f, 0x59795b3c, 0x1f28a65b, 0x77b9acd4,
+    0xd733ab9e, 0x2cc47f32, 0x8a6827f6, 0x8ca22f1c, 0xb273a04c, 0xbab999f7, 0x874fb6ac, 0x939e356d,
+    0xf4293e28, 0xea2e2872, 0xd9c81ffc, 0x773a457c, 0x3844d97e, 0xf19fa88b, 0x994d7e85, 0x9cc4c355,
+    0x7a974d09, 0x267e85e5, 0x4151a306, 0x51ed13bf, 0x3a5f67c9, 0x8bf9e824, 0x76fc776e, 0x0e277a15,
+    0x98368cc6, 0x7ce2a107, 0x09101670, 0xf1151897, 0xb70ddd46, 0xc4493a46, 0xd7992f41, 0xe1e5e344,
+    0x60ed6068, 0xb9b0dde6, 0x1c59c83e, 0xafe024e5, 0x7f85e6d2, 0x5e6a2464, 0x72c891c4, 0x4a68fbce,
+    0xaaaf497d, 0x64914393, 0xbb484390, 0x3d967223, 0x66cf3e92, 0xd6f00f26, 0xdb20b2b4, 0xfb20ee8a,
+    0x38f1f345, 0x4bc05cab, 0xc4595a0e, 0x8ff4b9ec, 0x93100a3f, 0xaa58154f, 0x9558949a, 0x3fa5245a,
+    0x3522fa89, 0x7d8144c7, 0x8b716a8a, 0xff0c7e8b, 0x384bd6bc, 0x17a2be0f, 0x87467604, 0xf8b1d997,
+    0xa80c1a50, 0xcddc449a, 0x24175233, 0xd0f739ec, 0x0545a396, 0xbdba8c7f, 0xe935660c, 0x7d546bf9,
+    0x61ad6216, 0x8bb255b6, 0xb162f74b, 0x2b03e0b5, 0x488740b2, 0xaa3136ed, 0x3121f075, 0xc353962f,
+    0x097d5300, 0xcf71b8c3, 0x4c5c3379, 0x2050defc, 0xd9b576d4, 0xc70efe43, 0x12616a33, 0x3de534b7,
+    0xa5e87583, 0xb7b7e929, 0xa1430583, 0x4a29abd5, 0x0227ceca, 0xca99a30c, 0xc367043f, 0x4b241a0c,
+    0x275d1834, 0x170081f5, 0x2ab7c35c, 0xacbc4903, 0x96dad13b, 0xee079d1a, 0x94721eab, 0x800f59d9,
+    0xab9ca3ae, 0x67cab350, 0x9252d08b, 0x8e95469c, 0x5d9a99be, 0xddac1f74, 0x8003e3fc, 0xdd0b3d41,
+    0xcc5cca2d, 0xa9582180, 0x989775c6, 0x275c9c3c, 0x1ed47a22, 0xf174fa54, 0xaae1e671, 0xb870d852,
+    0xefd58459, 0x7e023d3a, 0x73f39eae, 0xaec52f46, 0xdcb2bf1f, 0x32388dc1, 0xd11a301e, 0xaa1ce1a8,
+    0xe7abe352, 0x102816c5, 0x51f9c6a0, 0x7817327e, 0x00512d0b, 0x42e5ce0b, 0xb85d4dc6, 0x52e72e50,
+    0xc8396a06, 0xf1543f85, 0x8cb0af45, 0xd5cc65be, 0xf6ac3a34, 0xa94e9f01, 0x8d84165b, 0xd6832994,
+    0x55912f79, 0xc949aadf, 0xb440e929, 0x5b21d0e5, 0x6812c356, 0x002174f2, 0x09e6bfcb, 0xaf56be44,
+    0x5a5af693, 0x3e999579, 0xfcef0132, 0xc2c17988, 0xae9b2185, 0x06db159d, 0x5b2a1175, 0x2216d7fa,
+    0x08de7cc8, 0xb18b158e, 0x1442eec6, 0x3bf90d4f, 0xeeb85a83, 0x987bcf30, 0x2e11a28e, 0xc631479e,
+    0xdc6038a0, 0x924e3096, 0x5e155678, 0xb40c2c06, 0x9671556e, 0xc2195a1f, 0xeec55ed2, 0x086f4c48,
+    0x180fb26a, 0xcd98cac3, 0xdf9bb5fa, 0x3c1a1bac, 0x0244a232, 0x7572992b, 0x2df0e396, 0x84953bed,
+    0xed679a1a, 0xe24bc6e1, 0xb044793b, 0x52acda86, 0x040d10c8, 0xe4189873, 0x40d43776, 0x3d461617,
+    0x1c90ae3e, 0x13d0c113, 0x9230402e, 0xa2dcaabb, 0x6174aaa4, 0x5ecf46ca, 0x5c902d14, 0x88ca1e51,
+    0xdb600067, 0x26f2de46, 0x81aced16, 0xedd25f22, 0x0a033def, 0x9eca8da8, 0x4042f8b4, 0xc1cdacab,
+    0x2b5a08e2, 0x40909907, 0x9c58e077, 0x0d251043, 0x31d15fcf, 0x3bd30f13, 0x1c589423, 0x5625322c,
+    0x6901087e, 0x866f5e5c, 0x6cc01c97, 0x4af708f9, 0x47ae6605, 0x54577293, 0x7dde2a69, 0xb9384087,
+    0x721f27a9, 0x4b3d6583, 0x842477cc, 0x1abb2761, 0x69d4ccaf, 0xbfe6fc3b, 0x859d39ea, 0xbee22be8,
+    0x4c07b829, 0x2b1a3187, 0x2067140d, 0x303a6a24, 0x72504a0d, 0x97979f12, 0xc60d4a32, 0xcb8dbe1d,
+    0x28dddceb, 0x870570c9, 0xfa6661a5, 0xa93ecf80, 0x6a4e9008, 0x526d7f64, 0x9988556f, 0xf2708600,
+    0xa1e2ca42, 0xe8eb25cc, 0xeb268542, 0xef39ed2c, 0x8598ef9d, 0x1c1afafb, 0x93f4e35d, 0xba471ad4,
+    0x69a1c9ac, 0xf19e4784, 0xbfb9f56c, 0x0cbbdbe1, 0x6cc30f9c, 0x35ece4e7, 0x400b4dda, 0x87e38351,
+    0x8dd7980b, 0x11db2abd, 0xa8f77523, 0x56fdc832, 0x032181fc, 0x2f284ecd, 0xf1a9df92, 0xee091f97,
+    0xf46f3145, 0x49182d34, 0x10e017d8, 0xc9026f1e, 0x8a49a659, 0x6dba75e9, 0x88a2f27e, 0xc77040ae,
+    0x761cc306, 0x339215f5, 0xf22588be, 0xcc628805, 0x0ace8b8c, 0xd20923a7, 0x6e84c51c, 0x1d90068f,
+    0x9d577a38, 0x9c904c3e, 0x7e2f4ef0, 0xa988c7c3, 0x3c8ae4ca, 0x6f894d54, 0x0a571081, 0x88840bd9,
+    0xd82637ab, 0x42a5c14f, 0x7329ecc7, 0xcff57672, 0x95bdc8e3, 0xd2d2a6a8, 0x8e839ee7, 0xdd772462,
+    0x9ae4e855, 0xf77c327e, 0x788c3576, 0xb46412ac, 0x06540d91, 0x3d85121a, 0xa6c6dc72, 0x3deb2c1f,
+    0x6f6bc388, 0xa40c0668, 0x7a6fb976, 0x29af4465, 0x92ad9b9a, 0xfafe422c, 0xaaf60255, 0x8a378a54,
+    0x016e309f, 0x5981d029, 0x5d2e65e4, 0x7fe0508e, 0x9daa15db, 0xca08d6c3, 0x8854f639, 0x382b4cbd,
+    0xb9208901, 0x80f76c84, 0xf8219739, 0x0ce23e83, 0x0b452db0, 0x90ad51e6, 0xb1c1d339, 0x11c63bdc,
+    0x5da3e1f5, 0xcb9916fd, 0x23e04b43, 0xc3e3d468, 0x42f416e4, 0xab2364ed, 0x82f96ad2, 0x2c237de6,
+    0xa79180e5, 0xb4305525, 0x0cb42fc8, 0xa514b647, 0xe508b377, 0x9b7b09e8, 0xd6988c95, 0x6c1bcbba,
+    0xc617f5dc, 0xdbd7d700, 0x9ffe222b, 0x2bedb74a, 0x0f8a844d, 0x1d7261cc, 0x46a14c1b, 0x9fe4b8a2,
+    0x95c02542, 0x0abaca01, 0x53712763, 0x054bd643, 0xc391bcf5, 0x9fc07382, 0x712677f7, 0x5a25a25e,
+    0xbfdf3aad, 0xf912036f, 0xead9b24d, 0x2eaadacd, 0x8089ef78, 0x87cea8f7, 0x6afb0115, 0x752615ac,
+    0xcc12c47b, 0xf9d96589, 0x9c8df18b, 0x5cf747fd, 0x6fdc926b, 0x17ba0a57, 0xe3b72877, 0xc39aa3c5,
+    0x1967c5e1, 0xa001f0f5, 0xe916fb14, 0xe0aa4687, 0x1c8d7400, 0x099450f2, 0xbd03eee7, 0x8aaa1015,
+    0x2814b8f7, 0x722f4fa8, 0x1fc785c4, 0x9861ce5b, 0x97cec84f, 0x1391c995, 0xda8d74a2, 0x4a8ddfd6,
+    0x62a8dd0c, 0x0f2f01c7, 0x5f826e40, 0x316e4f57, 0xc6abef3d, 0xf2235d45, 0xee79c117, 0x6f228f4d,
+    0x791e5e8d, 0x6b453a71, 0xdebe9fa0, 0xbcaa3340, 0x404f00bb, 0xf91308f0, 0x66b485ce, 0x642f8efe,
+    0xdd678dfa, 0xd1b49555, 0x3c00764b, 0xdabd36b9, 0x560577b1, 0x5792c695, 0x58406ff9, 0x64d41edd,
+    0x9dcfb3f3, 0xd15e63ad, 0xb344edd3, 0xc4ff85a9, 0xf56ba25f, 0x0b3b4182, 0x3f91dbd0, 0x86a08876,
+    0x29b1a168, 0x0a6ddef7, 0xb68f7e5a, 0xc86d7bb1, 0x80e7a3be, 0x7a0b74ae, 0xaddde6bb, 0x2fa12010,
+    0x4d55f001, 0xb726d656, 0x2ee6c2f0, 0x5b631598, 0xbfd0726d, 0x0818c697, 0x79c690f8, 0xdc974e33,
+    0x9fe6b40a, 0xdcc89e2a, 0x9ce5ae1b, 0x904d74b9, 0x7c66d4a6, 0x26b7eb3f, 0xe74ce527, 0x9b1910d6,
+    0x099090ca, 0xbe402b4a, 0x00002854, 0x53ab9e1c, 0x4fce4e5e, 0x8d8d42b9, 0x2b5318ec, 0x1d759a5a,
+    0xec1d46c2, 0xdc23c022, 0xe80a8e04, 0x7ccea264, 0x1df62e91, 0x61c519e7, 0x9771f043, 0x36573730,
+    0xa0b6891e, 0x7e4ab3a9, 0x4b054647, 0xbbe08fb3, 0x2de83245, 0x2f52697b, 0x24246502, 0xbf18d684,
+    0x7560f494, 0x5c245d14, 0x771682b9, 0x906bc83b, 0xf033899c, 0xb3430a1f, 0x766ce8ee, 0x5571cc22,
+    0x7850f243, 0x9b093376, 0xebd34f38, 0x8bb5eb0f, 0x06822b78, 0xa81a335b, 0x3537dfdb, 0x70d512d3,
+    0xd2ded95a, 0xdd16d3fa, 0xead92797, 0x2305ea17, 0x2c6a6d8b, 0xf76a9c4d, 0x084eaddd, 0x5dbee2b4,
+    0xc101711e, 0x99445c14, 0x7dfcce5e, 0xdd61626d, 0x198a90e5, 0x284a4f73, 0xc0fe1be4, 0x81da1e5b,
+    0x3cfb75a3, 0x0853a08e, 0x04b52dbc, 0x1b66e527, 0x05a4712b, 0xc4e0a5b3, 0xf099bb8f, 0xb8b19144,
+    0x5f996106, 0x25fc510e, 0x3cad952d, 0x748a3819, 0xe8a4aa01, 0xc75b77c1, 0x0e2c52b9, 0xdf3e86b9,
+    0x89dd28b8, 0xb9b12e14, 0x917c7c41, 0xfc6b804f, 0x7e2a7a4a, 0x0300622b, 0x0eec78a6, 0x6d127d52,
+    0x0dba0f88, 0x9d220cad, 0x729834ef, 0xf846e07a, 0x4f9e6ab4, 0xa6b382e5, 0xa30c4dca, 0xb4589965,
+    0x76e692dd, 0x1bd217c0, 0x9b8ca1fe, 0x0a944203, 0x3bbb8cae, 0xad17a407, 0xe8f0d8bc, 0x2d99beca,
+    0xf3cf6622, 0x307e81e4, 0xda8f2e85, 0x8324260e, 0x5b05fc8c, 0x9e50d15d, 0xcda2f14b, 0xc1eb359d,
+    0xd4277ab5, 0x951bd4b8, 0x9be6d111, 0x533b69df, 0xf7efe551, 0x7f19448a, 0xd2682fde, 0x2e2f167f,
+    0x010e6128, 0x90c73c28, 0xf619fdd7, 0x0cce4459, 0xd61e88ad, 0xcc08ea55, 0x28b3ced2, 0xaba22b6a,
+    0x00000000,
+    0xafdb4cd8, 0x2bf6ff4d, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000021778071482940061661655974875633165533184 */
+  { 0x00000000,
+    0x4a45e779, 0x0b836f7b, 0x284720e3, 0x8bad5bbf, 0x3954ac01, 0x5c5c6820, 0x0d19f9a3, 0x66f92bf8,
+    0x363e9dd6, 0x03cdebad, 0x6b064807, 0x7ccfb53a, 0x03bb6d07, 0x17946ec1, 0x6607bbd4, 0x590e8845,
+    0x89b83800, 0xb4c1b309, 0x82e105ce, 0xee88e5f2, 0x5c1eafc4, 0x7e394faf, 0x289fe90a, 0x1b5f87ff,
+    0x6fd1bc5d, 0x208122be, 0xee57c32b, 0x7371cf16, 0x34730001, 0xac1f7194, 0x93ad26d0, 0xeb9410f7,
+    0x45fb008f, 0x3a4c681e, 0x3aabf4ac, 0x60e19057, 0x7f3a3ee6, 0x75e17278, 0x28f315ba, 0x690d0c8c,
+    0xc4e097e4, 0xe5106bca, 0x572a6824, 0x4b9ba661, 0x7b1060ad, 0xbdde9e1c, 0x4f2f3f82, 0xc7c72e59,
+    0x2cf36a07, 0xd5cbb7e9, 0xb77a140a, 0x0e262654, 0xb253ea81, 0xc8eafd52, 0x1e2394ca, 0x683fa5f5,
+    0x7883610b, 0x64646671, 0x5fab647a, 0x74901a3a, 0xfc6d7327, 0x668aa8c9, 0x66a4e1b8, 0x7cb24848,
+    0x8f6cd2d6, 0xca07e1db, 0x23aa07de, 0x8dededc7, 0x3c8d98f5, 0x00c6453d, 0xc7cb8c6b, 0xab9490ef,
+    0xcad963b9, 0xcaeb0f66, 0x78a6efbb, 0x737e57be, 0x816874e0, 0x45585d5d, 0x3e95622c, 0x09924c92,
+    0xdbe1b27a, 0x90a5a501, 0x7f9dcf77, 0xf55cec70, 0xd3d19159, 0x70a2dba2, 0x52690280, 0x997ee15f,
+    0x1df1a984, 0x44d21209, 0x7caa1f44, 0x36d7b7ad, 0x410d9d1f, 0xdec15d16, 0xb7c41c74, 0x2de36592,
+    0xa5fb59fc, 0xdb69fcec, 0x98a864e2, 0x2fb1ceb9, 0x125b60d5, 0xcc41dc27, 0xd7617d6d, 0xb2369214,
+    0x3c132c22, 0xfd36575a, 0x034ddc62, 0xc334fc67, 0xb48b5ded, 0x25b8eaee, 0x5947ce8f, 0xca411b3b,
+    0x1f651e4c, 0xac3bd26f, 0x69c81156, 0xed8d8724, 0xb042490d, 0x0badae66, 0x4aad5d19, 0x741e8ab2,
+    0x5f2a2791, 0x577f69fd, 0xe63b0ba8, 0xfb17c724, 0x4608d2fc, 0xb82bed18, 0x33627b9a, 0xf8d53511,
+    0xc4b6d0aa, 0x1d89db48, 0x5f5c7ac8, 0xd6d396fe, 0x1f88ba3a, 0x6f43c0e9, 0x7bfd53c1, 0xffcb18a8,
+    0x22716db0, 0x4ed9d895, 0xa07c59bc, 0xfc18081c, 0xb3dbee16, 0xdcb46394, 0x8738dca0, 0x8565ee51,
+    0x0dbacd4f, 0x1cf58477, 0x39484ead, 0xd86ca5cd, 0xd2853963, 0xabbf6290, 0x99ad55fd, 0x99a26100,
+    0x19d59fb8, 0x954fecd3, 0x6ed21375, 0x0833636d, 0x34fdb237, 0xc8533cf6, 0x4873de98, 0x99836f31,
+    0x06d24917, 0x8e879018, 0x03770f91, 0x719db083, 0x45fdeb69, 0x3bb827b9, 0x112dc244, 0x85f79707,
+    0x35ba992b, 0x23c0005f, 0x029618d6, 0xfd7f2723, 0x6b1f431b, 0x4d61254d, 0x88389ee2, 0x1eb5ffc0,
+    0x8bdb34a5, 0x7035f738, 0xcfcc662b, 0x8cb276ea, 0x3833c08e, 0xa4e49f72, 0xfcd992f8, 0x296a3bf6,
+    0x3fc5d4a6, 0x5e5a425c, 0xf722dc88, 0x79d3b4e2, 0x015901f9, 0x14db0cb5, 0xc57ba10e, 0xcc07fe55,
+    0xeff5c4b1, 0x9dde21f4, 0xa922199d, 0x500febc5, 0xc88f8647, 0x938d44cc, 0xc96a90d2, 0xe704837d,
+    0x9c83da75, 0xfc2b8a8f, 0x389e4541, 0x201477ba, 0x5cf138b4, 0x9b1f298a, 0xffa76b2f, 0xc0e79f18,
+    0xe4b165cd, 0x4496cfce, 0x660c2d18, 0x9dd0e179, 0x970cd569, 0x1b3415d6, 0x29f6da43, 0xb23a7122,
+    0x89187edc, 0xbc2484ee, 0x6c8a9607, 0xf1ad9aa9, 0x0fd5672f, 0x78c7d743, 0xfb4619f2, 0xa6dd1527,
+    0x3a9b0efa, 0xe4def60d, 0x0dab3c77, 0x6411cf11, 0x25925425, 0x6ca5239d, 0x47e316c3, 0xfa115df3,
+    0x46a19fd5, 0x82551205, 0xfa0dad98, 0x9a6860e6, 0x123d465e, 0x3268923c, 0xc3a007ee, 0x6aeec27f,
+    0x75ea91a4, 0xd2ad5690, 0x01f7c705, 0x88f6ca4b, 0xb0cef28b, 0x582a262a, 0xfa20ec10, 0x55337d7d,
+    0x960f710d, 0x3a5a9a60, 0x381b8acd, 0x6bf22c97, 0x0b329008, 0xad66ee27, 0x35d8f090, 0x3d5fa581,
+    0x16fa709e, 0x16b9e0d7, 0x9de6aa74, 0x34deabd5, 0x9f1ed963, 0x4ac31555, 0x24e55345, 0x5f9a0a6e,
+    0x1869b777, 0x9f7f8971, 0x3de375c5, 0x2f672240, 0x77af1088, 0x29712f12, 0x5852f0b6, 0x9a6e52ab,
+    0x0441d318, 0xa3e20f53, 0x6d494086, 0x6bad7e0c, 0xcf66882f, 0x2aca38ea, 0x849e8198, 0x9e8a8ff9,
+    0x08232c4d, 0x72d32699, 0x40557710, 0xdeb0f016, 0x266e60d2, 0xaa475678, 0x5a88b7ce, 0x83aa9c3e,
+    0x4c50e350, 0xd47eb1c3, 0x3ac81fcb, 0x748910d8, 0xea9ca388, 0x3a929372, 0x76b5373c, 0xd1f7523c,
+    0x2240ff8c, 0x69858ff0, 0x6f8d9096, 0xcba11899, 0x669beac6, 0x2ef0ab64, 0x5de11648, 0x92e991fb,
+    0x596fc313, 0xc0c59160, 0x33942d31, 0x6339a2e2, 0xc705563a, 0x4b04a1c0, 0xeb27d76c, 0xa92a8ba5,
+    0x81eaabc9, 0xa6a49ae4, 0xf87e4ba1, 0x4fba58ef, 0x745aef2a, 0x85e3d408, 0x2198dc93, 0x77e6c9b1,
+    0x0434d154, 0xfeacf9ed, 0xdf3036b1, 0xb712894d, 0xae784660, 0xb689868a, 0xd8e730df, 0x3bba4719,
+    0xc696c80c, 0x989c09e8, 0x66b81d11, 0x970eaebf, 0xe698e29d, 0x1dd90a3b, 0x261bec09, 0x860b283d,
+    0x146c1603, 0x4f494052, 0xf68ac829, 0x53d3833a, 0x0df2f84d, 0xe2f2c29b, 0x3b718777, 0x8ee2d37c,
+    0xdff2a3bf, 0xd7c11855, 0x03a3a78b, 0x505f4dc4, 0x16a1573c, 0xb76c48b1, 0xd5759222, 0xe6fee9e8,
+    0x3753bc8c, 0xa41457d5, 0x7fc75e91, 0xac70b758, 0xeea72d19, 0x9d9c5246, 0xf99e8e12, 0x030cc661,
+    0x08e45649, 0x8e22a291, 0xa8a58a8d, 0xf9117208, 0xd7e7a183, 0x1c195963, 0xdf96e770, 0x21b08c85,
+    0x4cffe451, 0xf410d2c6, 0x0039236f, 0xdcac5203, 0xa3b40c2b, 0x9ad00276, 0x09acdb91, 0x4320ce93,
+    0xc6245e9a, 0x1fc8d8d5, 0xeecac7b0, 0x4b2fa870, 0xa9481bfa, 0x86ba3553, 0xe3a9664f, 0xc96673f8,
+    0x629b37de, 0xf1efe1f8, 0x8dd2f13c, 0x0deebbbb, 0x725e56fb, 0x9a13433d, 0x2ab9ce54, 0x50382832,
+    0x4af32b2d, 0xd767f14c, 0x7e343bf8, 0x27f0d1d2, 0x34a71787, 0x9ed5123d, 0x510a080c, 0xf32c6390,
+    0xb0dbd09c, 0xbaf5c9f1, 0xadb56920, 0x2bd8c258, 0x804a08d1, 0xa4bb4b9e, 0x1008c503, 0xa36ed8e1,
+    0xb2fa4029, 0x9f4e47d0, 0x44092a4d, 0x3229f2e3, 0x71751f4b, 0x44deac5a, 0x061a7f0a, 0x6bfaad71,
+    0x6c383809, 0x7566eb44, 0x31e8cc2e, 0xe42565b1, 0x65a47890, 0x9f666903, 0x5f01837c, 0x1ee4ecb5,
+    0x1025276c, 0x33b5c0ed, 0x559d9b5d, 0x6ea1ab20, 0x906cf745, 0xc667faa2, 0xe4b96c7e, 0xf46bd82e,
+    0xa4230141, 0xf27d02bd, 0x887a8943, 0x7ef43f1c, 0xc2b1f93b, 0x88480500, 0xdd3a7bbb, 0xdde0688f,
+    0x716c8406, 0xdff0f5bd, 0x69950194, 0x536b9e53, 0xc2907bb2, 0x54d0d9f7, 0xc47dd81d, 0xd8489d1f,
+    0xf32b9caa, 0x5b864bc9, 0xe45fc5c2, 0xe4c7e9eb, 0xb7edd21c, 0x5a41fd63, 0x40e0b339, 0xadb3c570,
+    0xbeb80876, 0x2b66efde, 0x7d010e4d, 0x6837f124, 0x4b246752, 0x64f07b55, 0xd85cbe2f, 0xd53c9e22,
+    0x080bb698, 0x18628e97, 0x4cc80f0e, 0x48e97917, 0x014e1748, 0xb19e2e0a, 0x4d21dba2, 0xbd408deb,
+    0xbce5a19f, 0x91c8e7c9, 0x599d24f2, 0xc4847e1e, 0xc38159db, 0x92ec921b, 0xce4baa4f, 0x83868bfb,
+    0xdde860d0, 0xd3c0f04c, 0xadbfb5e0, 0x5e1ff0f9, 0x265bfa88, 0x4a4bf414, 0xc29ea2ad, 0x073654c3,
+    0x405664ea, 0x1a2bd59e, 0xcb4a657d, 0x3b6b638b, 0xea90d56b, 0x791345c2, 0xe779124a, 0x646d5729,
+    0x554b7406, 0xa01bb56c, 0xbeec4604, 0x04dfc4bc, 0x950e8123, 0x4704e07b, 0xeb805bab, 0x9d65d5e9,
+    0xe1a94480, 0x5ab0c11c, 0x021f5dba, 0x0fce27c6, 0xbdc78c2a, 0x75a72f9e, 0x1b6eb45e, 0x7aaf9b10,
+    0xb5dc5316, 0x1f360a75, 0x3f4b464a, 0xa82c999a, 0xbb40ea6b, 0x002274e6, 0x7ffbbeee, 0x0d953d8b,
+    0xc77f0e35, 0xdea7d04c, 0x8d9edc33, 0x1635132b, 0x2b058fd8, 0xcda3c5d8, 0x0c4a898c, 0x5d4a3e05,
+    0x7ef6b751, 0xd8c9d79b, 0xfc3127d8, 0xc7dc159c, 0x43bc4839, 0x07e96b1e, 0x6a7ddc75, 0x17361b76,
+    0x628bb3dc, 0x0a876b14, 0x421366e4, 0x35369d5e, 0x8402787c, 0xd8d6e0ed, 0x4ad734b6, 0x6e2ce73d,
+    0xc7cfada9, 0x9ad57fea, 0xda6269de, 0x36749345, 0x281d1cda, 0xaa81920d, 0xec425e41, 0xb83738b1,
+    0xa4c4cf83, 0x96cd1a41, 0x4fa5ff81, 0xc36f8b65, 0x07928cf4, 0x6c4cea17, 0x7883602b, 0x453dea07,
+    0x99467438, 0x30bbfc19, 0xfa73d4d4, 0x230a14ff, 0xa4881a07, 0xc8b12334, 0xf593ff1f, 0x40b9777f,
+    0x477dae9a, 0xb8c4589f, 0x70d766a9, 0x164cbd33, 0x2e1e7ea6, 0x8aa8ead8, 0xc4d98914, 0x51c89e6e,
+    0xac9faef8, 0xcc84b3df, 0x63836b4f, 0xf7876f4b, 0x5aeda779, 0xe9c4e66d, 0xec18bb09, 0xd9690b66,
+    0x488c96a0, 0xf33d29c5, 0xa7f31771, 0x9b44ba20, 0x1295bc29, 0xffbb257b, 0x87a9489f, 0x86b63c4e,
+    0xd5de4cdf, 0x70bea2a1, 0xcd6f4d39, 0x454fb235, 0xe36b2603, 0x0d1bf6b4, 0x0186851e, 0x9532ba7d,
+    0xa0d0ad2e, 0x9bbce7db, 0xe82b2f3b, 0x0d67ecbb, 0x140b8e6b, 0x2df62a6b, 0xb33e5b31, 0xb03bab45,
+    0x94a21c32, 0x8bb22cbf, 0xf7749376, 0xd332ff86, 0x3e20af90, 0x16965fb2, 0x625a632b, 0x798177b6,
+    0xa556addc, 0xbb47a18a, 0x2e322b5c, 0xeb4fe584, 0xb35d1e0c, 0xc32e9c33, 0x5de4ffd7, 0xad41810e,
+    0xc1824141, 0x863d9472, 0x7d467acd, 0x46705d34, 0xef2de41d, 0xab1232be, 0x56fd5f96, 0xbdc7002e,
+    0x0fa29466, 0xf43473d5, 0x1ebf326c, 0xee8da40d, 0x34aaf83d, 0x561fb221, 0x30d455e1, 0xd28b68e4,
+    0xbd5f37f0, 0xf22970cf, 0x43614b7c, 0x2f57d275, 0x9fcf8fe2, 0x66ea0694, 0x5407dcfd, 0xea5afae4,
+    0x82e4402f, 0x8dc3fc39, 0x3a5dfb56, 0xeefa8258, 0xe3d20a6c, 0xb3dc1f86, 0xa9f708d5, 0x04db0bf8,
+    0x87801ae8, 0xab04ebfc, 0x947b4552, 0x4d039f30, 0x76ac88a2, 0x2be6499b, 0x5d96f54a, 0x8d11158b,
+    0xd05d3976, 0xbba0c86f, 0x16837aa9, 0xf4a1ff05, 0x72626f57, 0xb17a154b, 0x3db01895, 0x15c2f88b,
+    0xb8147895, 0x7f31567e, 0x86604bd4, 0x744aae19, 0x03255d97, 0x5d39118c, 0x1fc72dd6, 0x8681d2bc,
+    0x0c7b0088, 0xa229d725, 0xd43821ff, 0x10872113, 0x747c07b8, 0xfe1d29cd, 0x2e38cdf3, 0x8cc8fd41,
+    0x4a152a32, 0xb9f10ba4, 0xfb568bec, 0x3e260efb, 0xadca163e, 0x6a65caa3, 0x45642887, 0xb809e896,
+    0xb3628ef0, 0xe30bf5e6, 0x1344d95a, 0x9269de77, 0x7c59438a, 0x716e98ba, 0xb905175e, 0x8df5583d,
+    0x10bdecfb, 0xdef00cf0, 0xb31de710, 0x21106c36, 0x963bdaa3, 0x6a0d095d, 0x059e30bf, 0x618219d6,
+    0xb8003551, 0xc2e83069, 0x928d7305, 0xc6b09db7, 0xb61f9f3c, 0x5b7ca013, 0x1fff459f, 0xa6b0faa0,
+    0xb696c9df, 0x9100dcac, 0x74870b4a, 0x11103739, 0x54108bd1, 0x747c8400, 0xb366db57, 0xbd705846,
+    0xd085ad17, 0xd8cedd7b, 0x659ffb99, 0x1ecb064a, 0x4daf4a23, 0x1e5d50b0, 0xe0b8f206, 0x6e47bcb6,
+    0x00460c58, 0x4dca379b, 0xcdc7ec70, 0x23617ec6, 0x10331657, 0x1058d868, 0x5dbec57f, 0xec2ea9d8,
+    0x65169cde, 0x495a1345, 0x6f54210a, 0xd98ac4ae, 0xff581746, 0x490cb04f, 0xbaa5ddcd, 0xe6909d31,
+    0x3ff8a3ca, 0xd927d291, 0xe2794723, 0x4e9c48f7, 0x09cabce7, 0x4f2fbdd8, 0x9d870bbb, 0x319b2661,
+    0x5dbb96a4, 0xad6607c1, 0xa0cb39a0, 0x58fb9fd3, 0x8503fc4e, 0x2dfabfbd, 0xa8ad941b, 0xe86e6746,
+    0xbae020fb, 0x7f36f880, 0xd9f04666, 0xa9cf908a, 0xbeb5608a, 0x1fb495a7, 0xfe6d4eb8, 0xbd60b704,
+    0xed87813e, 0x7d760d4a, 0x16b12caf, 0x26306c78, 0x06a9dc04, 0x081ed167, 0xda5efb06, 0x9cbaf970,
+    0x7b8fdfd1, 0x5a445127, 0xcb085a89, 0x99abab6d, 0xdabfb74b, 0x64fefba4, 0x64bc6f28, 0xe65640db,
+    0x0034360f, 0x567bbcf7, 0x5cb8017e, 0xf9235fe9, 0x9d5fabd0, 0x5b4ef103, 0xe7ce5d1f, 0xf3235fd1,
+    0xe978ceab, 0xd4477a8e, 0x2412dad4, 0x439bfc65, 0x1178c115, 0x0e74b8b1, 0xfca0f2a2, 0x71459af6,
+    0x9165ed10, 0xffa22457, 0xdb5df511, 0x82ddfb89, 0xb233693c, 0x55f0c261, 0xa8e54f50, 0xd0502c71,
+    0x14cc4de3, 0x557db641, 0x87b65e75, 0xab4cf101, 0x683fe8a9, 0xf9eb5041, 0x6e3aa14a, 0x64c4e5ea,
+    0x0ccdfd17, 0x98675d18, 0xd9ad89dd, 0x455dc325, 0x23f9dd6f, 0x1f9929ea, 0xf5d5c51b, 0x51cc1382,
+    0xcb313dae, 0x5e2a1593, 0xa3fee03c, 0x15fd1ab0, 0x9284a836, 0x193d2300, 0x1b0edd11, 0xa39ecf8b,
+    0x310ff435, 0xc3bbc269, 0x8c1f5735, 0xc11238fe, 0x2ec75987, 0xe5311770, 0x40b4baf7, 0x20747e73,
+    0xb690a196, 0x11c24798, 0x2e1e04fb, 0x03a34440, 0xe1e683aa, 0x5828b5ac, 0x8f34ec16, 0x04f92d1a,
+    0x035bd9be, 0x0fdd0e78, 0xbc14778e, 0xb4799f49, 0x987f569d, 0x73fd56c5, 0xc00c1c38, 0x1254648d,
+    0xf7e2e4c8, 0xf1ca2c4d, 0x376af564, 0xd5c8996a, 0xbf63ad42, 0xad3182f7, 0x454bf79f, 0xdc7e5f61,
+    0xb6d2406f, 0x044eb1b2, 0xbe1d0a88, 0xca767b26, 0xabe62281, 0x83b4a386, 0x91c5db80, 0xc0c2ca8f,
+    0xa2c06dbc, 0x11238a4e, 0x5a5766f4, 0xd1ca7d9c, 0xe232f156, 0xb3f2e501, 0x09b22511, 0xbe8c68cc,
+    0xd0e9da60, 0x9271fea3, 0x42fe58f1, 0x642d60c8, 0xac589a39, 0x678e9b0c, 0x9bba3586, 0x61f8ab45,
+    0x782ce5d5, 0x735b0c86, 0x9d416812, 0x9184dbea, 0x96870e3f, 0xbe881832, 0x7f0d16e9, 0x99f0a21b,
+    0x7abcfb7f, 0xbe056919, 0xe8d52bee, 0xd551058f, 0xf3738f3e, 0x79d33f55, 0x7ebd7ed7, 0xa17cc8f9,
+    0x482f6ceb, 0x229fccdc, 0x3ef59bdf, 0x33579af8, 0xeb731a29, 0xafaa36da, 0x32873ddc, 0xbda592e7,
+    0x6ae5137b, 0xf8a0ed25, 0x010aa767, 0x5910262e, 0xd2f9b250, 0xdeeca9d0, 0xa4027ac0, 0xf2b63df8,
+    0xd43b21f7, 0x759bc16a, 0x07eb0f84, 0x558a26fc, 0x10457eed, 0x5e1019fc, 0xa5249460, 0xcbb67b6d,
+    0x4a42e769, 0x82473d81, 0x6a782c87, 0x7a08602e, 0x99bc8a31, 0x81ebf960, 0x6b0c2528, 0x4da616a2,
+    0xb99f116f, 0x0244e415, 0x019c4cad, 0xd6224f58, 0x2f817975, 0x663426a2, 0x3ac65dbf, 0x1f199900,
+    0xc476a069, 0xb08dd513, 0x280091be, 0x10a50426, 0x2650f220, 0x474369c8, 0xd8dc01ac, 0x1e96cb59,
+    0xfc78da6f, 0x3e3db9c4, 0xc34a5084, 0x48513118, 0x80ab1102, 0x3bae75c1, 0xc1030592, 0x0ce3cd25,
+    0xb05d1f77, 0x885dbc52, 0x3c62d431, 0x40292a9d, 0x34dfe924, 0x1a677950, 0x37797d07, 0x243a78fe,
+    0xad18c30e, 0x7b780aca, 0x9440a8ab, 0x1769df95, 0xf7ce5537, 0x4eb24a4d, 0xecab829e, 0xd3ca8806,
+    0x28daf0a4, 0x4a57253b, 0x6909b0c6, 0x85c794ac, 0x709fcbbd, 0x773005b6, 0xd9d2718b, 0xcbac79b5,
+    0xd23651d1, 0x272c03e7, 0x51e92947, 0xde0ca287, 0xe709dfda, 0xd6db5186, 0xc0738a23, 0x9ed278b1,
+    0x632bd1c4, 0xeb3f7720, 0xf4822986, 0x556d10ca, 0xcedf69e7, 0x3d419e74, 0x09f4842c, 0xd19d4515,
+    0x00000000,
+    0xd7eda66b, 0x95fb7fa6, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000010889035741470030830827987437816582766592 */
+  { 0x00000000,
+    0x5c71d04c, 0x21454742, 0x3b6ee67c, 0x43981e6e, 0x910b889d, 0x72989c18, 0x41adb790, 0x17fa13a0,
+    0x46148b38, 0x813b7215, 0x301b373c, 0xffa0c526, 0x0d3ae4b9, 0xbc64f3b9, 0x044cac2a, 0xc1e55c62,
+    0x97e8fcef, 0x37482712, 0xe0f9c09a, 0x3e2a40ed, 0x70e9d9f8, 0x561dfec0, 0xed39374a, 0xea0c7b0c,
+    0x6fe236ae, 0x5a2290b6, 0xcbe04b3b, 0x3afb70bd, 0x69adb81c, 0xe73f3564, 0x73c4a95f, 0x65c3e360,
+    0x90293c74, 0x08fe99e8, 0xeb2308fa, 0xe38d92bb, 0x6cc84bfd, 0x90ade4a1, 0x46fb7f17, 0xae265e3f,
+    0x5aab4031, 0x459b8b0c, 0x2aa9ad43, 0x8acf71b2, 0x9c7b780b, 0x8c2e69e4, 0xe18656ac, 0x44891ee7,
+    0x070a6342, 0xe289ac21, 0xd3c9e0bd, 0x3d14e026, 0x5e1d2a54, 0x1991b801, 0x4899a0df, 0x21d08d49,
+    0x6bd0af66, 0xf13f9c6d, 0x1b3a8e31, 0x9eea45e4, 0x76114673, 0x15c5eaba, 0xedffa3d1, 0x7ed71bf1,
+    0x65367342, 0x21e00f87, 0xf28e4d02, 0x28894402, 0x9ef1687e, 0x613004cc, 0x98aee7a4, 0xb141f597,
+    0x7f22af28, 0x9c28e167, 0x327c9966, 0xeaf3ed7c, 0xb3129fb2, 0xecad30eb, 0xc9c31201, 0x0fe20363,
+    0x33d9506d, 0xbba03591, 0x7c306b71, 0x4847a707, 0xd99b1445, 0x1bbee4b7, 0x522f115c, 0xc8f402a2,
+    0x6e1916ca, 0x01f6ba73, 0x05e1a57a, 0x13a01d8e, 0x20a7cce0, 0xdd162061, 0xedf3e9a7, 0x124f35b9,
+    0x4a8cd103, 0xd70f8334, 0x892523d3, 0x4d8d0849, 0x23106bb6, 0xde062f62, 0x1f9ce99c, 0x8cd71557,
+    0x5843f93d, 0x0d851e0e, 0x4c94d5c1, 0x81934edf, 0x7d72cd13, 0x0328ab96, 0xb435a075, 0x2574af9c,
+    0xcebf343a, 0xf32997f1, 0x09b83f26, 0x62ace71f, 0x72925ade, 0x274b0e33, 0x7c2f3581, 0x17ad4e4a,
+    0x864e0d03, 0x04003b62, 0x51eef089, 0x8d94352a, 0x97c84d6b, 0x488b4a25, 0x52669339, 0xbf5c12b4,
+    0x1e4f7825, 0xfd54143c, 0xb8609465, 0xe8a3f432, 0x64ffe443, 0xdaf2afad, 0x1ac00954, 0xa5472258,
+    0x3e8b2ccf, 0x30235b09, 0x6aab9a94, 0x54356fc2, 0xb7ad3e0b, 0xa67645a5, 0x951a54c4, 0xaae52e7f,
+    0x8a28b966, 0xa84def33, 0x310268a1, 0xa92518c1, 0x542d755f, 0x3c97eb9d, 0xddb22319, 0xdb9d416a,
+    0x2c0f8a7f, 0x52f77795, 0x12615857, 0x14781ce7, 0xbb9c47e3, 0xfae3d498, 0x01d82f36, 0x9b950823,
+    0x396b8539, 0xeb30ab38, 0x98077997, 0x51b5e70e, 0xe582d311, 0x7c1bac1b, 0x7c027484, 0xc9e903b0,
+    0x93513253, 0x1a820f33, 0xfef5bd85, 0x9c5da332, 0x8c72be8c, 0x7b97bca7, 0x7505bac5, 0x316780a6,
+    0x3a99be7d, 0x41a92784, 0x307329db, 0x86355b4a, 0xcf88f2e0, 0x0961f2fc, 0x230787bb, 0xa34a7103,
+    0xa40eca45, 0xe582f45b, 0x73e81356, 0x91a806a5, 0xebaa2b76, 0x262a5a8e, 0xf61f1ea8, 0x3ad393f3,
+    0xe5ea5f44, 0x76c9669b, 0x0a987036, 0x5e417a06, 0x3d345b42, 0xf4d2f964, 0xc8458f0b, 0xfd480ff9,
+    0xb748f569, 0x1cc2d49b, 0xdaeb2935, 0x9d0f96f2, 0x08432b63, 0x4e774e1a, 0xa970bb1e, 0xa4fe06b2,
+    0x10d72aa9, 0xaf473957, 0x7a1c95b8, 0xa8548ea0, 0x40b2a18a, 0x3f98af2f, 0x5b9026ae, 0x46b4f2d4,
+    0xfdc568e8, 0x3b344192, 0xc168ee9b, 0xc11ed1b8, 0xce87f020, 0x997d4c1a, 0x0449be33, 0x9a8029a8,
+    0xa17dedc9, 0x0aa11ca4, 0x08c7faca, 0x46c91528, 0x20f97d91, 0x66d6b406, 0x3d7af4e0, 0x9c179b2b,
+    0x46594415, 0xdd619b7f, 0x23ec5213, 0x0b6d6802, 0x5dac88d2, 0xa5cd8c26, 0xa63069b7, 0x60aa7e6c,
+    0xa4840bba, 0x1018d288, 0x6dfa8513, 0xc283eabb, 0x183ddc96, 0x75c8a4f7, 0x73085abd, 0xe13e968d,
+    0x598d0a34, 0x4242c7e2, 0xb12c661b, 0x82a4f91e, 0x00cf3aa3, 0x162a4224, 0x30456e6d, 0x6710bec7,
+    0xaa452135, 0xfd882059, 0x233ba28f, 0x280b09e0, 0x6893750d, 0x3e464024, 0x4f1dda77, 0x146e3f7b,
+    0x320ba8eb, 0xe3dd14af, 0x4911a4d2, 0xe05f586a, 0x485db396, 0xe2479ccf, 0x92e7f10d, 0x40d10ac4,
+    0x288bc2e3, 0x8c6edcba, 0xffafd66e, 0x5e45a178, 0xb5ffe290, 0x00afeb0e, 0x44ebc7cb, 0x783bb059,
+    0xfb55770f, 0x45008a3a, 0x080d220a, 0x26c96996, 0x746f939e, 0xc24d8468, 0x63cf1309, 0x5ce2a7f8,
+    0xeb0fa634, 0x2f0a91b0, 0xa0c2d5e6, 0xf11ff50c, 0x8d61827f, 0x52386568, 0x0e289e66, 0x49747a0f,
+    0xed06df5c, 0xf1bc08f4, 0xa4147c41, 0x6c70bdfa, 0xbdf5d491, 0xb8869e5f, 0xfa943829, 0xf5dc6d0a,
+    0x336c6299, 0x4e36e152, 0xebb75ee6, 0x666deefa, 0x46221bef, 0xb4b029d9, 0x63498701, 0xdd79ea6f,
+    0x959358a8, 0xe012a1fd, 0xe36801d8, 0x3944331e, 0xbdf98681, 0x6ae5931b, 0x19e2f2d9, 0xd2a3fdc3,
+    0xd4307226, 0x773afc28, 0xab03a249, 0x191f4186, 0x9ce51ae7, 0xed7b4226, 0x737b42aa, 0x55dee83f,
+    0x12a0d2e8, 0x456da060, 0xe39a75fc, 0xca6eedce, 0xa5ab2e4d, 0xef13caa4, 0xf2533625, 0x7c284c46,
+    0xab0281c8, 0x1273d059, 0xbfabb003, 0x6d9fa371, 0x4ca339a5, 0xefee983f, 0x2df61678, 0xbb0fdee0,
+    0xf3007271, 0xa2a04fff, 0x7190ef9a, 0xb349c854, 0x874ce1db, 0x75e83d23, 0x7b86c1d6, 0x8c0070da,
+    0x61a10d0d, 0x29731e7f, 0x9006bdd1, 0x4f268e60, 0xc3584b43, 0x35df659a, 0xd3fc07c3, 0xdcc7a515,
+    0x9c9c3d4e, 0x29700bb9, 0xc1ffe51b, 0x5945c22f, 0xc2997b08, 0x21f0a177, 0xf4aa75e4, 0x1a3f6b5f,
+    0x2f6e2083, 0x1a8a2f18, 0x96151b6c, 0x9836799c, 0xeb7911d8, 0x8a0a9346, 0x482114c6, 0x97cb5bce,
+    0xcb5fcbf0, 0x66987c77, 0xce8a9719, 0xd98043cf, 0x2aa4ea0a, 0xbbd87e49, 0xdfa1a668, 0x1ace427f,
+    0x77ab8eb5, 0xeed9be54, 0xebad3257, 0xd426f784, 0x7e9c0b20, 0x582e6d1d, 0x15a56f98, 0x6e837d25,
+    0xa890a9dd, 0xff762838, 0xe5b5a620, 0xc4c4a8d2, 0x9cbc4a54, 0x3cedbddc, 0x8683b939, 0x6a4beba6,
+    0x96ec0bfb, 0x493d227b, 0x5945963b, 0x0f3c552e, 0xaca28ad1, 0xeefec084, 0x96c2f2c6, 0x4ba1284d,
+    0x1d15a6f9, 0x429309e2, 0xfe369f7b, 0x58d41b79, 0x45d04aef, 0xd6ebd09e, 0x2bd0eda2, 0xf019fdd0,
+    0xb30029e1, 0x16e31d1f, 0xa9ba8a6c, 0x93667555, 0xc49189f3, 0x38010e0b, 0x640896a7, 0x125c5b5a,
+    0x67739630, 0x3d52cbb4, 0x825ee01c, 0xb1765aa5, 0xfbef66f4, 0xe7c248d8, 0xb69037e5, 0xcaa33118,
+    0x8599dd33, 0xa46bcd30, 0x0e21ad57, 0x6660447b, 0x2d7a4211, 0x442ed895, 0xc222430d, 0xaaded6d1,
+    0xf501823e, 0x4e6839c8, 0xbb5ca27a, 0xe51004b6, 0xae9810bd, 0x462df87d, 0x68779934, 0x4fc14dd9,
+    0xc0433750, 0xa9cd82ef, 0x720d3ee6, 0x6ff4bfcf, 0x39fb3329, 0x35aed56c, 0xfb0f53f6, 0xbd1664c4,
+    0x39bccc12, 0xf0bda965, 0x81c1ef92, 0x091d680a, 0x3f4de024, 0x7b592ec0, 0x51a462c1, 0xf54f9a0a,
+    0x967a01ef, 0x10195146, 0x3a4e2ddb, 0x90424604, 0x556a4710, 0x68a02ac4, 0x5012776e, 0x4d1549c3,
+    0x21d01988, 0x1d797809, 0x5891c246, 0x5eb5a31e, 0x434f5cbc, 0x10a3a3f1, 0x817a267b, 0xdb6b9f8d,
+    0xf69f53ef, 0x4dacdd45, 0x68e05435, 0x848dbd0a, 0xdd847449, 0x81fcfd03, 0xcc2c9e5e, 0x081a0aa1,
+    0x08a66983, 0xd56d82b0, 0x8b1b54bb, 0x0b4a3bfa, 0x6e0f3bf9, 0x21db0d59, 0x53c218d9, 0xfe861104,
+    0x87d21f30, 0x18b0337d, 0x9373b5ba, 0x28be7d50, 0x7f8887e4, 0x579415f4, 0x96a1b101, 0xec80d2f3,
+    0x99df2d12, 0x7bfc7bcc, 0x089a511c, 0xd1b601eb, 0x71fc8d86, 0xaba2eb07, 0x17075194, 0x18f033d7,
+    0x6cd21751, 0xc5058068, 0xf017d587, 0x37734613, 0x38242e03, 0x9898bfad, 0x691d279c, 0x6597a682,
+    0x35f5c9e7, 0x7e5263fc, 0x08cca3a1, 0xe05b56ee, 0x942c1f9f, 0xd0a1d388, 0x1c9be282, 0x56948c8d,
+    0x64a38ee7, 0x7fdad452, 0x95121588, 0x4df7a5f8, 0x4329d8f9, 0x51e490d6, 0x6a2dc747, 0xbb85bc5e,
+    0x25a6314a, 0xaf17e1c4, 0xd906e880, 0x8dbd806e, 0xda1fa413, 0x748397fb, 0x804c4838, 0xd983f5a0,
+    0x37df7a7c, 0x23bacaa5, 0xaf773043, 0x34dd4e3a, 0x2ded78ae, 0xf06e2978, 0x76cce4f1, 0x1d0b8ea7,
+    0xa821ddf0, 0xfcbe44a2, 0xb6e7ebbd, 0x9449f330, 0x8182f3c6, 0x4d1bea80, 0xa6168216, 0xfff24407,
+    0x59c68240, 0xd1ea8073, 0xb7d10098, 0xd98bd65b, 0xe8001c97, 0x862b420c, 0x30669aba, 0x97b4c2b8,
+    0xf84aaf12, 0x5c26c858, 0x587c7c45, 0x404e4d10, 0x8a712a0e, 0x74a9e194, 0x0c8b6830, 0x8bf01c58,
+    0xc1288cbe, 0x97c2b89c, 0x908b26c4, 0xc481300d, 0x9fea9735, 0x27358ce3, 0x2001c2a6, 0x7d39b5e2,
+    0x08ec9f63, 0xc2838153, 0xb9789a33, 0xd71f146d, 0x47cadc52, 0x65356938, 0xff7b1456, 0xb8e381e5,
+    0xb1ccd516, 0x269d47fe, 0x38b58113, 0x4ddeefeb, 0x2b6a8fd2, 0xdf84e666, 0x220ed744, 0x06e24241,
+    0x72d629e7, 0x6b85768e, 0x7a2b3f4f, 0xec36d980, 0x824950e0, 0xd2ed296f, 0xb203dc24, 0xa20d1102,
+    0xb0080fa3, 0x6207f143, 0x399f1b83, 0x5a561bc5, 0xf82e6c37, 0x1000ce7e, 0x61aee49a, 0x9952cf08,
+    0x5b241da1, 0x68fc577b, 0xc1252a3f, 0x06f8dbaa, 0x4a95609f, 0x41ac064b, 0xfb1d2b9d, 0x24c03c0c,
+    0xd4b4f5ae, 0x4a0fee64, 0x785197c9, 0xea7d60a7, 0x94377cb7, 0x745cb90f, 0x268a261c, 0x5c9d6828,
+    0x045ffe3d, 0xb50354d0, 0x00179929, 0xf613cfa7, 0x33fbbb37, 0x004720d9, 0x839768c6, 0x05b9ee6e,
+    0xc754394a, 0x91443672, 0x50a091e7, 0xbccde671, 0x0271a6cd, 0xe7160235, 0x223b7311, 0xdd3d9d63,
+    0x41575fed, 0x22969c33, 0x32c24920, 0xa4c990c6, 0x2750db41, 0xa86f9490, 0x7e794aac, 0x95af11db,
+    0xcfd73095, 0x224b1e5c, 0xfb95878d, 0x1577b475, 0x4e1225f7, 0x1204f436, 0x0f9fc5ae, 0xb017226d,
+    0xe60fbd30, 0x4e0c4e1a, 0xe8b6ae33, 0x825fbbd5, 0x1ef23e5c, 0xe18f1229, 0xe154c065, 0x6de718dd,
+    0x94e4d68d, 0x32d54812, 0xda40b7ab, 0x9374723b, 0x06e1f47b, 0x93c5fc63, 0x823c8234, 0x57ee3372,
+    0x4cf90ad8, 0x107bc479, 0xc82c4a0a, 0x240958e5, 0x43b0fb0d, 0x1d39e330, 0x9dd90b11, 0x57ce1a56,
+    0x4052b44c, 0x4e2fde93, 0x58186af0, 0x0b4eabbf, 0x8751dc6e, 0x2b069a3c, 0x17cd693b, 0xbe3dde13,
+    0x055d927c, 0xdf5c4de1, 0x078756d8, 0xc821b8c7, 0x1176b06c, 0x4f529c79, 0x38002786, 0x98e66b59,
+    0x4b48b6e2, 0x4b7e9ccc, 0xfd57d41f, 0x7f221953, 0x4102f614, 0x1b656913, 0x1ea2098a, 0xb5c39f1d,
+    0xb2a64447, 0xf9ffdf3c, 0x2e4351c4, 0x274deee6, 0xcbef1c51, 0x99e1b34e, 0x0c464812, 0x1e0e4bcc,
+    0xf4521102, 0x46d9c3f3, 0x8d04ac88, 0x83369fe2, 0xd1459cf4, 0x0abc7dcb, 0x90d5f571, 0x98f621d8,
+    0xa6aa5510, 0xec5b4469, 0x424e963b, 0x8a2e5dd2, 0x1c868b46, 0x7901e891, 0x484283b2, 0x1609284e,
+    0x9c573185, 0x3f91c098, 0xa445255b, 0xaeabc424, 0xa2d7c55a, 0x212e421c, 0x4e34396b, 0xfa7a4a0d,
+    0xf7ebf70c, 0xe5b0a044, 0xc9d61ebd, 0x7dd9bf8f, 0xdac78124, 0xf61c0651, 0x75e415ce, 0xe2f9aed7,
+    0x1959d8ce, 0x9b69e1a5, 0xd7741a8c, 0xc9355a44, 0x94f710bc, 0x7f7be768, 0x0d2d04f7, 0xc8e7bae6,
+    0x9a7be494, 0xe35bbea8, 0xa39f727e, 0x410eca9f, 0x7385c88e, 0xad83b835, 0xc19e4aec, 0x1753735e,
+    0xfb46797e, 0xe4af982b, 0x8f3b2dea, 0x9dc6926d, 0xe356a80d, 0x233ecfbd, 0xbc4089b2, 0x6c729320,
+    0x3c38cb85, 0x402c3743, 0x9d923a15, 0x4a3ae73b, 0x8c69c505, 0x702f2e18, 0x314a340e, 0x2914cc44,
+    0x0f661bcf, 0xa8db2330, 0x2bd7ef4f, 0xc32b468a, 0x791aa2bd, 0xb631c48d, 0x85650d08, 0xc526b76c,
+    0x33cc2074, 0x74f06f27, 0xcebeecd6, 0xeddd28b4, 0x91b7aaf8, 0x3f753102, 0xb8fbe223, 0x9acd1091,
+    0x28046c9e, 0x62010681, 0x23e23e33, 0xc593b994, 0xbe765a7f, 0xd97b8378, 0x965a9182, 0xb3e77de5,
+    0x95c6c237, 0xd64f9031, 0x4d85f75a, 0xe7e4874d, 0x238a8f31, 0x6ffcbf43, 0xc559103d, 0xf41a2c47,
+    0xb5c74d15, 0x4d05eacd, 0x1eadf4a1, 0x2eb67ca6, 0x3755560b, 0x948ee4dd, 0x4511ae63, 0x0f74a086,
+    0x020baeac, 0x871bf34b, 0x54e402ac, 0x3e7e31fc, 0x32f1f11a, 0x83b4d686, 0x9b5d4a1f, 0xfe2f11a9,
+    0xddd605c8, 0xee41c157, 0x7c5ac493, 0x7ae03a72, 0x89e33720, 0x279d3978, 0xe1564c62, 0x096feeea,
+    0xee8cbf29, 0xc015bd9b, 0x7d0a37ef, 0x2a84f4a7, 0x0a53f85c, 0xbe17a4bc, 0x4f424480, 0xed52e303,
+    0x0caf44b1, 0x6ad35bfd, 0x69c34e0c, 0x4400967e, 0x7d4be363, 0x9429eccd, 0xd52aab26, 0x756c39d5,
+    0xd72ca6e1, 0xab101803, 0x17c3fa25, 0xafe9c935, 0x183696da, 0x87ef643f, 0x706d6318, 0xedea352b,
+    0x61af20d3, 0xbd77246e, 0xb4ae8101, 0xb5f86f35, 0x82bc0959, 0x717fa422, 0x0ab2be14, 0xe2ef448c,
+    0x58a7d86e, 0xd8ee989f, 0x66d3492e, 0xf8503248, 0xc211f7d7, 0xa971a558, 0x74e31172, 0x0048cfbb,
+    0x24db888d, 0x7a345447, 0x96f29a5b, 0x744088b6, 0x889cb759, 0x10b8c6ac, 0x37ad4471, 0xed11670c,
+    0x4562167d, 0x32204f93, 0x5e7ed415, 0xebf0b6fd, 0xe8f577d0, 0x162f9caf, 0xad0104f8, 0x4edc320d,
+    0x44215f34, 0x1c0814a5, 0x9f522bdd, 0xc1bc0d5b, 0xbfeafee5, 0x01a084ab, 0xb83b5cdb, 0x04cea5da,
+    0xcaf85c9b, 0x0327e0ce, 0x438b9bc7, 0x7fb4366c, 0x6430fb86, 0x3f12a5d8, 0xbab4fdaf, 0x2bcc7c96,
+    0xf74cb433, 0x48ed9c53, 0xa8bd21af, 0xfae0283f, 0x8a97ad9b, 0x76a21a50, 0x13df80b4, 0x462f890b,
+    0x805445ab, 0x466edc68, 0x539e64ac, 0x5be1ba46, 0x32cb7089, 0x060e510b, 0x28c802e2, 0xd3f74957,
+    0xcf2a6cbc, 0x441706b4, 0x963c62ea, 0x1f526d0b, 0xf168e4eb, 0xad3b0b2e, 0xf56ae766, 0x87212615,
+    0xf39d5234, 0x08300eec, 0x36d0e298, 0x48a54bbd, 0x24b4f74b, 0x6f27c94e, 0xa492d2a1, 0xf2ef76d2,
+    0xda1a1016, 0x1195e748, 0xd647cf7e, 0xd6544d41, 0xbb82272c, 0x6f8ebcd5, 0x0d85851e, 0x4ef41d08,
+    0x04a439fa, 0xc2fd3fbb, 0x3cfb86aa, 0x5c933f16, 0x0a1d0e41, 0x0e4ed324, 0x863a0eed, 0x60e559c2,
+    0x2740666a, 0xef686164, 0x5c0bab2c, 0x37738517, 0x837119b1, 0x0ff9600f, 0x66d3e5dd, 0x61ab8fbb,
+    0x65958250, 0x40ae5b65, 0x3ed187ac, 0x8869b6a3, 0x7b98f2bc, 0x0f352dda, 0xa1804793, 0x462832ca,
+    0xfbf4a8db, 0x040c5d6e, 0x95e690b4, 0x0778a8b1, 0x7aa36f2a, 0xc53d3b56, 0x2d4552f9, 0xc1459c60,
+    0x264fc974, 0xef952526, 0x8f3bce4f, 0x2c2afb07, 0x7c11a43d, 0xf7f867e1, 0x7abce3db, 0x1f8ff7d6,
+    0xef587792, 0x571d012a, 0x66ff3232, 0x7b268039, 0x6f4eefc8, 0x97bb652a, 0x3edafd89, 0xeecf0a4a,
+    0x1eb6ea21, 0xab997346, 0x53563af9, 0x89d38c37, 0x9b38b98c, 0xf53f73ba, 0x6ff68e11, 0xa3ccf3cb,
+    0x00000000,
+    0x6bf6d335, 0x4afdbfd3, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000005444517870735015415413993718908291383296 */
+  { 0x00000000,
+    0x84ce9c9e, 0xe34bf73f, 0x0ad13093, 0x3c3679e3, 0xb24b199c, 0x70ec38ae, 0x1685f05b, 0xc08bb349,
+    0xbbd4eaeb, 0xd56895f5, 0x362cf797, 0xbf013c27, 0xc6b4ecf8, 0x18aa516a, 0x8910cadb, 0xbbb1758b,
+    0x053a51a6, 0x3c9d154f, 0x3247cf21, 0xab2d3cfe, 0xf1f8c085, 0xf5361d38, 0xc0a04f47, 0x2385d198,
+    0x002652a3, 0x3c0f24cc, 0xf71adfab, 0x5b4b308d, 0xcc09f84f, 0x7566119f, 0xa478c3b2, 0x6202df72,
+    0xa567f8a6, 0x0a4cb863, 0x2714dd05, 0x9760a90b, 0xdc6f01a1, 0xe6a4498a, 0x232b5f1a, 0x461a277a,
+    0x2956a565, 0x0701d013, 0x1456c025, 0x9638da9c, 0x8f428cdb, 0xe7ea4133, 0x0f8ae925, 0xcb7f1cbb,
+    0x966b3209, 0xc176a620, 0x955fbe2d, 0x3bc32dd6, 0xb9ec54b3, 0xd6aa28c3, 0xee600adf, 0x1242bedb,
+    0xe1d97ce5, 0x4b1fc609, 0x582f6461, 0xd44c3acc, 0xe92fedbe, 0x498b35c7, 0x68bcd695, 0xa8c70a08,
+    0x310e9098, 0x3000f60d, 0xb168082f, 0x2c3cba1c, 0xdedb94cc, 0x1bd8fc4f, 0x120c24bd, 0x4fbbdb45,
+    0x49d2155e, 0x246f4777, 0x3a34f414, 0x2b61d7e1, 0x772ceb8e, 0x88c688ea, 0xdc2d8438, 0xd37657be,
+    0x83752f81, 0x33e71f98, 0xa68ab1f8, 0x6cec0166, 0x06b2f651, 0xe79672b7, 0x593980f8, 0x33dffa8c,
+    0xfb7f83b7, 0x012a2729, 0x2e2975d7, 0x361eeec6, 0x4a5e58a3, 0xa8525bf7, 0xbb169590, 0x614fa81e,
+    0x3a18ad5e, 0x9ed9cf74, 0x38e24ca4, 0x226c8713, 0x41e03642, 0xec0fca1a, 0x308ecdb2, 0x56fa2cb2,
+    0x003ea0fb, 0x7acc3d6e, 0x9a88f64d, 0x8a76e9e7, 0x5bded631, 0xc41eaa8a, 0x89239307, 0xaf79f6e1,
+    0x94ba99d4, 0x2f31ecfa, 0xe3c60d10, 0x4a1f18e3, 0x75695525, 0x3634d61d, 0x368140a7, 0x9f39cb72,
+    0xe6db3847, 0xf2e58fd1, 0xec272760, 0x9073ab6c, 0xc5bb1c2c, 0xe2ab3219, 0xddbe63cc, 0xe077140e,
+    0x8acd0899, 0xfd300463, 0x64fe5943, 0xe378009a, 0xf9e84cb1, 0xe76aebf7, 0x10844720, 0xd025ec43,
+    0x8a9e0ee0, 0xacb291fa, 0x9d63e854, 0xb7337001, 0x5fb6c8e0, 0xd63717b1, 0xfc13c8fa, 0xf146a303,
+    0x80f6fd09, 0x8ddb075a, 0xa704b24f, 0xd7f879d0, 0x5d863d25, 0x0b797b79, 0xb5e3f9fa, 0x1ce61061,
+    0xe55bb33b, 0x77742d41, 0x3f162227, 0x8368816a, 0xade06e4f, 0x20ab5109, 0x4916282c, 0xc2a93831,
+    0xbad3b563, 0x363bbc1f, 0x3c1e7be4, 0x5acc4ee9, 0x0a34e057, 0x084a3ebf, 0x168399de, 0x00d43817,
+    0x802763fa, 0x070fdf2d, 0x34cce54e, 0xf6164373, 0x65732a9b, 0xf601851c, 0x38a7f254, 0xa86843ed,
+    0x7712136e, 0x3d486e3e, 0x2d875e4f, 0x3ffa8ddb, 0x2d90890e, 0xb0308a08, 0x59facb24, 0xf669898b,
+    0x3c593681, 0x70491fee, 0x6e8b7878, 0xb7ff71e6, 0x52934ebf, 0x3a9d242c, 0x0623db31, 0x05e8484b,
+    0x111acff5, 0x6cdd77d8, 0x3a0d46cf, 0x2cc9e6ef, 0x692c6bcb, 0x47cfff65, 0xa382c9f0, 0x7ff94dd2,
+    0x5538a261, 0x93617009, 0x70d5028d, 0x46ef8c18, 0x33d55e4f, 0x72623058, 0x5676b105, 0x8472857e,
+    0x760c8426, 0x459659bd, 0x3dba711f, 0x4b129195, 0x8a245ee8, 0xd7f736d5, 0xe4699437, 0xebe68d78,
+    0x9538ac2c, 0xf2ea2818, 0x0de390f6, 0x11b6b855, 0x30518c94, 0x2bb4ae50, 0x4570df11, 0x535cd947,
+    0x4bd65857, 0x28107bee, 0x3fd16ab0, 0x7cfdf9a7, 0x5c72b861, 0xf1968f69, 0x87af04d7, 0x4fe7be55,
+    0xc3d79d9d, 0x7311a284, 0x353ae82d, 0xf34f864d, 0xbab96c73, 0x3a2c0fdd, 0xd4a3caef, 0x0457f54b,
+    0x001f74c1, 0xf86a795d, 0x1d2fc3ec, 0xa5f7c83c, 0x1fbbd842, 0x4113bb69, 0xb06ee6a2, 0x677a5463,
+    0x2a323624, 0xdd6df81e, 0x4ec98bda, 0x148baadf, 0xe6f6157b, 0x316d73a7, 0x056f5c08, 0x86a5238c,
+    0xa25d205d, 0xf0d5a425, 0xf28ffb49, 0x152e30b6, 0x3b245a8f, 0x7a4cc717, 0x33faf4dd, 0xcedca32c,
+    0xbdc1090c, 0x0bbf3edf, 0x6a63ee8c, 0x85b0468a, 0x26abdfc4, 0xe84946c0, 0xe4442aa5, 0x26128689,
+    0xa1b8f56f, 0x92f0b76e, 0xe6b80cfe, 0x3f2b25e3, 0x88bc5ce4, 0x2452a985, 0x0b9cc2cc, 0xd1de1b40,
+    0xd98194a4, 0x46bc4d1a, 0x571d10e5, 0xcfcd421f, 0xc0a19521, 0xf185d2ce, 0x24f5ccb6, 0xf005e5f3,
+    0xbb1bb84a, 0xa8721f85, 0x8a0579a8, 0x75d704b7, 0xc1d503ec, 0xe20ad4eb, 0x54ec3fa8, 0xababa875,
+    0xb444d501, 0xdc5ee46e, 0xde4ad221, 0xbcf7524b, 0x7b75cffa, 0xaa5b67fa, 0x216bd452, 0xea4dd91f,
+    0xf082af07, 0x657fc2bb, 0xd5f1a95d, 0x101c40c5, 0xf4dbbc68, 0x110f1f10, 0x9644ca4e, 0x85b3684a,
+    0x42fb3dcc, 0xbdc7b16c, 0xcae617bf, 0xe2340835, 0x3c09b1d1, 0xb8cbde57, 0xf1d38b01, 0x900f1a37,
+    0xa634d720, 0x3a90d6ad, 0x769acad1, 0x9b68268e, 0xffd1b761, 0xfee5257e, 0x4be0079f, 0x70a69614,
+    0x833ec4f4, 0x2ef0c71a, 0xbd36fa3b, 0x72a64c76, 0xa1233655, 0xd07bd55a, 0x29fcc7c1, 0x77fb34fa,
+    0xd011d052, 0x59d771e2, 0xe9d6c87e, 0xb60b0732, 0xb5a2801c, 0x8a5e7cd1, 0x61419efc, 0x47380c37,
+    0xd5e4ba1c, 0xc0d8db98, 0x23159d53, 0x5108be30, 0x9a3b60b4, 0x27670c16, 0x4e10209e, 0x3ec38c68,
+    0x1def6974, 0x68df7292, 0x68ba6357, 0x135dbda0, 0xf9748215, 0x72f9b7ed, 0x629a7886, 0x9608d45a,
+    0x448ff502, 0x2aea85ee, 0x8fd84549, 0xcde03076, 0x8c44c124, 0x0c192dcc, 0xaa84f339, 0xe921ded5,
+    0x7a68c59f, 0xa04b6af6, 0xa42302df, 0x7e07f96a, 0x83f8d04a, 0x0c108184, 0xa207b181, 0xfa24488d,
+    0x306d9113, 0x37223694, 0x21d59712, 0x08a2a35a, 0x61d7632c, 0x88f4e049, 0xc89ea6d4, 0x787e4cd2,
+    0x0985b98d, 0x5efc999a, 0x198f8cb1, 0x7072bcb3, 0xd030e771, 0x7e0d2d99, 0x29cf39a8, 0x950f35f6,
+    0x3c64d681, 0x50fc1e77, 0xaf080bad, 0xcc6253bb, 0x9df68b9f, 0xf9277677, 0x690354d0, 0xfb5712e4,
+    0x767ceea3, 0xe1f92749, 0x746a68d3, 0x1f6ff390, 0x73e87878, 0x8bfce40c, 0x7a7cc0b3, 0xc3a6227d,
+    0x9990d5c1, 0x63b954ba, 0x54a5f036, 0x7ffbcebd, 0x7c67930d, 0x26a194bd, 0x09e0ccab, 0x2a57f0cc,
+    0x8f6215cd, 0xecf62b48, 0xd08197b3, 0x3bda50f7, 0x31598969, 0xd1fd27d9, 0x7f423474, 0x7c5f00c3,
+    0xee402525, 0xc2f5eb92, 0xfe5d4574, 0x7b5fa53d, 0x78272a4c, 0xee58f143, 0xfa2e7635, 0x62874ba5,
+    0x2eae8155, 0x1aa0eefc, 0x4e0fdd89, 0x7d0ce261, 0x096ab031, 0xa3804952, 0x859f065d, 0xf0a139a5,
+    0x091ad652, 0xc2d08b69, 0xe986b2ba, 0x03319abe, 0x23173390, 0x178658ba, 0xf6fab626, 0x1e3de405,
+    0x917b175f, 0xd39be70e, 0x1935e865, 0x2cec7f38, 0xc67ccf17, 0xa768921d, 0xf82800f6, 0xdf3a294a,
+    0x0e36f156, 0x73524760, 0x87cecf32, 0xb647ea2b, 0x217e36b3, 0xc2018906, 0xe863b811, 0x248d3523,
+    0x48e4ff64, 0x5009a090, 0x87350c58, 0x2795c4f0, 0x66a559e2, 0xbb9dd6e1, 0xc62862b6, 0xc2609be4,
+    0xdcdf879d, 0x071625b7, 0xdcb5b139, 0xef213779, 0x820ebcea, 0x10a9eeaa, 0x64b57b27, 0xea5d33d3,
+    0x1c56b60a, 0x65f49064, 0x772684ce, 0x7a6f96b2, 0xb6b3cfde, 0x08b215c7, 0xb1c173e9, 0xd1fada5e,
+    0x45ebb7de, 0x4f4c4c58, 0x05c8bd47, 0xee1b324a, 0x36ddda46, 0xf90a3a56, 0x2fe0e860, 0x810ef5bf,
+    0x48ff4bcb, 0x7b696b06, 0x0899f200, 0x0f3f7643, 0x6d2494db, 0xfabe343d, 0xafde954b, 0x33d8a8d0,
+    0x630c1596, 0xc204a345, 0xbcdb45ad, 0x9db36561, 0x3e50955d, 0x89e4d1bf, 0xb6a134c7, 0xce09435c,
+    0x5ccf23bb, 0x2cedfc36, 0x18853e26, 0x3ef97a69, 0x70bcb2eb, 0x9a96c028, 0x205d8605, 0x8791359f,
+    0x55bca4e3, 0xaeea54f6, 0xbaa4faf0, 0x492f8c33, 0x9365b2ea, 0x0d0cc73e, 0x5e23b19c, 0xc60bbbbd,
+    0xc000a0e4, 0x0b6ab067, 0xe73cb0c9, 0xaf25df1c, 0xc7dfc78d, 0x7c5f7aeb, 0x0244a947, 0x56968712,
+    0x5d269e5c, 0x267ed489, 0x5209371e, 0xc8c6445c, 0x260fdd63, 0xe51d675e, 0xb8ca43ec, 0x9c05598a,
+    0xea5c5d49, 0x7411ff50, 0xce197772, 0x1678fcb3, 0x96f89fae, 0xcf33ebef, 0xa0a651be, 0x2783f1e4,
+    0x8c2d3169, 0xa02b5821, 0x885b3b80, 0xea0c82ef, 0x894616f9, 0xc89d9638, 0x32137b3a, 0x2dc17d5c,
+    0xec226f1b, 0xca8046e2, 0xfc8782b3, 0xb8386838, 0xa8e69d61, 0xa10ef6c1, 0x08887e88, 0xf4b2211d,
+    0x635ccaf5, 0xb389a007, 0xae18a1cc, 0x8477a3cb, 0x936a9718, 0xd3059dfb, 0xb0c5b383, 0xdba8e982,
+    0x95ac7f48, 0x17f5f5d6, 0xae113af5, 0x084e486f, 0xa7ac93fd, 0x5b127964, 0x317b8dac, 0x3bf09568,
+    0xef5cd859, 0x3af94927, 0x25838a33, 0x5275b27e, 0x0504df32, 0x2cbe8ddf, 0xa770cb1e, 0x375ef52d,
+    0x02588246, 0x0fe9e3c7, 0xa2a4364c, 0x84a82686, 0x499e6efa, 0xa9918489, 0xf95a115f, 0x38c4151b,
+    0x489cb517, 0xa6f4b92a, 0x0a8856a9, 0xd1c0bcdd, 0xe15261a1, 0xd0436c46, 0x157ece13, 0xd024b8d8,
+    0xc7679efa, 0xd8259336, 0xce51ae7e, 0x47fe8f02, 0x6c74c1d4, 0xa3e8296e, 0xf39fa4de, 0x29719e3e,
+    0x025dfa27, 0x60366c82, 0xfe295603, 0x6da9a900, 0xcdbad779, 0x7c03f88f, 0x666afc96, 0x84bcf8a5,
+    0xacc1a0a7, 0xf5137c54, 0xf75ed873, 0xe8eabb69, 0x17a9d4b6, 0x792639e2, 0x3fc65ab7, 0x7d32b3dc,
+    0x4ddc53ad, 0xe8fbd5e7, 0x73215e10, 0x0571425d, 0xe3e704f2, 0xbf334dd9, 0xaad282f3, 0x0cdb9871,
+    0x1da7befd, 0x9c87dac1, 0x3e402d06, 0x6c334523, 0x15986333, 0xfb366a5c, 0x594fc6a9, 0xb2526680,
+    0xa6db748f, 0xa5179b57, 0x17227a64, 0xe15692a3, 0x6592e2e0, 0xad861d2b, 0xf54d7b9b, 0x5628abf8,
+    0xca4c2fa7, 0x7e27075e, 0xf892fb69, 0xebf43e76, 0x9e36cc90, 0x11ec75fd, 0x2b0d5a3a, 0x7092cb5c,
+    0x027861bf, 0xd6e66fae, 0x9a7284c7, 0xfcadf9ed, 0xc21f1340, 0x46c2857c, 0x454747b3, 0x3524541d,
+    0xd5c02c78, 0xc39aa8c7, 0x35bdfc3e, 0x9ad07276, 0x47514592, 0x54611bb2, 0xdf7fa360, 0xc666e3e1,
+    0xbafaab1a, 0xfeb129d0, 0xb4f59ab0, 0x0a60a27a, 0x6b60d5cf, 0x64d9c62d, 0xccfd171c, 0xbdb571bd,
+    0x23b7bcec, 0xa5f7870f, 0x05e1ae65, 0x7781276b, 0xe88e8d1b, 0xc4f47c85, 0x1989aa01, 0x949f8d6c,
+    0x16a968b8, 0xd9edfbc9, 0x8567f6d7, 0x2e79db65, 0x12dcf26f, 0x01cd70b2, 0xd56d1b9f, 0xa99d2cc8,
+    0xe3b8287d, 0xb472bf94, 0xefead7c8, 0x105e22bc, 0x4e900c41, 0xa3cf6662, 0xab692656, 0x60c43340,
+    0x5ec55bce, 0x8baf5a31, 0xaa29ac93, 0x6d67ef29, 0x8f6d554d, 0x7c42a0c2, 0xb02fcc68, 0x59a227e9,
+    0x992dc69b, 0x52426249, 0x03a6e59e, 0xe94dc7be, 0xf4e33100, 0x0b243b0c, 0x783158fa, 0x19730430,
+    0x78683f55, 0x20fa237c, 0x21f56d42, 0x24b8532c, 0xb29817ad, 0xcc9478cd, 0xf440327d, 0x3b1432d1,
+    0xa7f09eba, 0x694c6387, 0x53817af4, 0x8bf4c91a, 0xdd98968e, 0xadf05b2a, 0xd546b2ec, 0x7a744757,
+    0xacebe19c, 0x45223b07, 0x8645ad65, 0x73d3615b, 0xa4415525, 0xc85589b8, 0x52cd553b, 0xd5875cd8,
+    0xdc1f0719, 0xc277ceb3, 0x7f2b5f74, 0xb621f841, 0x78876f9e, 0xfc21061d, 0xde297a7b, 0x4010a08b,
+    0x64dc37c6, 0x2086f72f, 0x960daf45, 0x71d79680, 0x400d9357, 0x57567ebd, 0xdaeea9c0, 0x7a9a9b57,
+    0xce842b70, 0x9f1ddb70, 0x48a6607a, 0xf95b8f7a, 0x2c69a5ab, 0x20e1b409, 0x5ba4d836, 0xdc6c8f8e,
+    0x075adc1b, 0x60dec3eb, 0xe4a4d924, 0xa387a8bd, 0x668ebf66, 0x21285de8, 0x0c61e6fc, 0x44f99ad5,
+    0x113bf0d4, 0x2472a06e, 0xb301ee31, 0x0c86a81b, 0x025aaf26, 0x2549d7bc, 0x7dd3dc98, 0xd30e5291,
+    0x2e1b7eb8, 0xb3cf95ad, 0xa31aa80c, 0x570e8b95, 0x609ec985, 0x7919bb2f, 0x2613bc4f, 0x4e9377ab,
+    0x95ce83e5, 0x621a7253, 0x1875192d, 0x209c91c0, 0x6fcb336b, 0x91e3258e, 0xdde15716, 0x16ef0841,
+    0x3cd7491b, 0x8e10c199, 0x591928ee, 0x0c169cca, 0xbff9fdc1, 0xfd7e020c, 0x62841f9e, 0xa786c070,
+    0x6008e13c, 0x940675f0, 0x9c947388, 0x5c2b0acd, 0xde1a2ffb, 0xda55bbc1, 0x2d94a144, 0x49f6940a,
+    0xcf92bedd, 0x97c35964, 0xe763d70c, 0x1b4e410a, 0x5c3adcbf, 0x4880d9e4, 0x7eb4b052, 0x334e03df,
+    0xcbde5368, 0x3bd10e18, 0x24b48322, 0x97597c0f, 0x0da69a98, 0xd9d436c1, 0x6697fc6a, 0xd357b5fb,
+    0x1efc337f, 0x03104b1c, 0x39ed7116, 0xd5bb4d3e, 0xfc4622d9, 0xcc862919, 0xde8b7e73, 0xf5d095c6,
+    0xb151255e, 0xffec71e0, 0xe2769b2f, 0x55f0be61, 0x51485852, 0xc11dd48c, 0xb3910aff, 0x8cefcf42,
+    0x1099c157, 0x11572657, 0xeb75f1b3, 0x3c9c968c, 0x4cf28397, 0x684ba57f, 0x51a8e4d4, 0xf04469e2,
+    0x70d416f2, 0x719023f4, 0x261c352b, 0x7ee52ec2, 0xb4cb9cf7, 0x1a10fc6a, 0xf5bc1b61, 0x57046df2,
+    0x8319fec1, 0xaa0eecb6, 0x6c6f8358, 0x6f157afb, 0xa80692ab, 0x9346f2f7, 0xce825210, 0x777d4da2,
+    0x5bdbe4df, 0x27bbc980, 0x95042c17, 0xde510ab1, 0x142fcab8, 0xbd7fe7c1, 0x79d5194d, 0x289e220e,
+    0x9ef66b13, 0x90706932, 0x85d1d1cb, 0x5c943578, 0x31c52d14, 0xce0a51a4, 0x60db8d5f, 0x0edee180,
+    0xac49bf8a, 0x62d98ceb, 0x2aee31ee, 0xcd1e5338, 0x1ac09003, 0x3d4bcceb, 0x816b59aa, 0xdaff611b,
+    0xe0b55337, 0x0de63c3a, 0x7e26f08a, 0x512d549e, 0xc877b4f8, 0x27a34597, 0xad076334, 0x0445270a,
+    0x064dc915, 0xf93b4c00, 0x2f606ce1, 0xb6d8cd48, 0x2b312879, 0xb9a23d61, 0x0ab9c42a, 0xb8c2fe17,
+    0xf92478f7, 0x7a5e3428, 0x723965b6, 0x7554223c, 0x60fb17e3, 0x1e69c186, 0xa0168554, 0x64d8fc1a,
+    0xa6c514ca, 0xacf3bb1a, 0x6a608d24, 0x82b0df8a, 0x78f48bad, 0x62f3ef7d, 0x4c12bfca, 0x22ba7a7a,
+    0x21e347bb, 0xe15f978f, 0x50f3351d, 0x6469de2b, 0x0417a277, 0xba51c9db, 0x2b797095, 0xd256b91e,
+    0x052a1b9e, 0x14803a5b, 0x1e70c8cd, 0x2030093b, 0x272205b5, 0xcbb67a9e, 0xf95e0b14, 0x60e6e7fd,
+    0x33f75545, 0x06a355b5, 0x1103d14c, 0x6f5b1971, 0xfb816f07, 0x957871ce, 0x57ffcd64, 0x2fc574f6,
+    0xc32f732c, 0xdb7c0775, 0xd0a37c45, 0xf4777e7d, 0xb1f7987d, 0x91c4fa01, 0xf13d3b78, 0xa7f5441f,
+    0x3961e7c5, 0x849b083a, 0x3e2903d0, 0x6fd5ef95, 0xcb2cfb53, 0x1e838c80, 0x3002af41, 0xe137e5b3,
+    0x32745c66, 0x2087a16d, 0x41029c7c, 0x7c0503d7, 0x814728cd, 0x8588b8bc, 0x4f041c2d, 0xf7b959ae,
+    0x15d20ba3, 0xdebed5a5, 0x5d208c8a, 0xe2e82cad, 0x745007c3, 0xb0d0da1c, 0x10f05733, 0xdbb62a0e,
+    0x8ad17dad, 0x12cfb405, 0xd88a70da, 0xb76d335b, 0xbea8ff21, 0x8afffd61, 0xce62e38f, 0x2e3b82f4,
+    0x1d43d7e0, 0xe09f3a15, 0x6442d5c6, 0x97a8d88d, 0x1b79af82, 0x642867f1, 0x134acfa6, 0x90cc4d34,
+    0x00000000,
+    0xb5fb699a, 0x257edfe9, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000002722258935367507707706996859454145691648 */
+  { 0x00000000,
+    0x75756154, 0x76082169, 0x5e24afcb, 0xa97a8356, 0xb52c17ef, 0xd0922307, 0x95f4089b, 0x78691314,
+    0x0684ad54, 0x6fda9bf0, 0x7d421556, 0xe07d8473, 0x7150ad32, 0x4de9574a, 0x51d48e75, 0xe1bf9d17,
+    0x3ab93427, 0x506c67e4, 0x587f782a, 0xf9d81cce, 0x3b7f4ff3, 0x61159c10, 0xd18a118f, 0xd00fb70e,
+    0xf29dd18b, 0x01c09832, 0x18cb5708, 0xc0e4d112, 0x9e8ecb49, 0x3fa4b83d, 0x0118db99, 0x4aeb58a6,
+    0x9b949038, 0x8a0eacd1, 0x71c9e8bc, 0x65a33c9d, 0x1b847c69, 0x33aaab3e, 0x5118347a, 0xe686b3b9,
+    0x73b66914, 0x61012dc1, 0x4a518719, 0x2b252301, 0x85ccea20, 0xb5d06c83, 0xc0c10cbc, 0xaf10bcc1,
+    0xe352b104, 0x7c4a0c31, 0xa1dd0a27, 0xee40a994, 0xfcabef95, 0xe469c10a, 0x4ae0482b, 0xddf4404b,
+    0xbce219b1, 0xd41e0395, 0x7c7af38c, 0xe7d35a57, 0xff1d28a9, 0x045ac207, 0x3401f86a, 0x788ce1e9,
+    0xcc15813c, 0x1365b696, 0xe7aa267c, 0xe518fbf3, 0x36e2aa16, 0x429187a3, 0x2e1902fd, 0x7aa393ec,
+    0x1fc2a21f, 0xabd26e08, 0xbc79e39a, 0x05bde0dc, 0xa1bdaf94, 0xa24034c1, 0x9c7bd748, 0x2c25cafb,
+    0x1bc36d0a, 0x4a8e92b3, 0x226fce4e, 0xac1609f7, 0xb20fcecc, 0x34b361e8, 0x5a312200, 0xdbb8c736,
+    0x7c4ec787, 0xab40509c, 0x65acb4e6, 0x772e4f0a, 0xd8b30541, 0x9d38c02d, 0xc0406a17, 0x4d219417,
+    0xacf3dc99, 0xf1c7e3ec, 0xc67cfec0, 0x0e0ec960, 0x6f38bf27, 0x20a01377, 0xb6816673, 0x773a347c,
+    0xeb5f89e5, 0xca5a296d, 0xda1ff307, 0x591b6a72, 0x2fe3dd99, 0x306415b9, 0x2050334e, 0xb3e5172e,
+    0xb33878fc, 0x5dd238cd, 0x56cbe865, 0x19de1934, 0x1814db3e, 0x167f5adf, 0x0e366eb6, 0x8e5069d0,
+    0xd7b35598, 0x8b05e223, 0xb29dcdc2, 0x79e6f0d0, 0xf52daa9f, 0x42e4206b, 0x39356c8a, 0xf1906fdf,
+    0x6bf38b23, 0x6660c445, 0x501c9c20, 0x7db20c41, 0x0904b2ea, 0x845ab073, 0xedda0882, 0x1140b2ef,
+    0x6faf0a65, 0x70910e95, 0x4326ec43, 0xffb2e437, 0x5057ae85, 0x1722a555, 0x62d9af08, 0x37d611b1,
+    0x694ceb34, 0x4d64f744, 0xd0d13424, 0x20ccbdaf, 0x147563d2, 0x07a0f646, 0xafc1ec25, 0xe1d13b36,
+    0x84b27717, 0xe8baf46e, 0xcb497b08, 0x86276845, 0xa534c48c, 0x69bb1a04, 0xa3f65a34, 0x85345a25,
+    0xad5a5389, 0xc2d3badc, 0x8564dd72, 0xfab5b431, 0x06f4c79f, 0x4be25026, 0x69e4dcb1, 0x71e8c39e,
+    0xb5b778dc, 0x567ffd14, 0x1664b39d, 0x031dd4e9, 0xfafa072c, 0xde6bd426, 0x886f12a0, 0xd79a186e,
+    0x677d0f74, 0x5eddc4bc, 0xceaa8dd6, 0xb206ac1b, 0xd9ad952f, 0x6252f0b8, 0xcb559cb8, 0x43601e28,
+    0x01efbd1a, 0x60d397bd, 0x6916d2b2, 0xb72e8fc2, 0xbc256cd0, 0x82efc303, 0xb7b65539, 0xc8b7fd69,
+    0xf98dc664, 0x3c90f182, 0x9dc623f3, 0xe1a65b17, 0xf3ceee1c, 0x278aa3ef, 0x2045319b, 0x5011e383,
+    0x72cdd3d6, 0x637154cd, 0xea45d21e, 0x2aa5458e, 0xaffa1591, 0x6195e8c1, 0xeb9e2717, 0xadf1cd03,
+    0xec3ac7e4, 0xc7bd77f1, 0x5c82d2b8, 0x63935eb6, 0xd6aab71b, 0x7ad1b94e, 0xce03b5a1, 0xe6fa7b8e,
+    0x82071b60, 0xed54ef0d, 0xf94fc3cf, 0xad70cc3b, 0x2b30670a, 0xe13c7c65, 0x771a4e28, 0xf186e8b3,
+    0x796fbef0, 0xd821e542, 0x953e4b57, 0x1baff172, 0x6054ed29, 0x4b04e447, 0x7226f68f, 0xa0be46b2,
+    0x948a7b65, 0x6b646cd8, 0x2185ddff, 0x5d1e85d5, 0x6be6de05, 0x76ec8ef5, 0xe9a4f29e, 0x81bcae06,
+    0x825cad78, 0xeab5283f, 0xdffdb95c, 0x1ef8f5c6, 0xe116845b, 0xa7e61b80, 0xb2cf3313, 0x40f7ed92,
+    0x0baa5e3e, 0x053fa8df, 0xd36c097e, 0x6386d8de, 0xd24dd952, 0x6e6d56c7, 0x3bf8661d, 0xb88caec0,
+    0x86f35ae1, 0xdb97eef7, 0x23a178b7, 0x82921faa, 0x40d792eb, 0x4c9f87e3, 0xe69080c1, 0xe822d4b5,
+    0x343e2656, 0xdc8fed2d, 0x5bf0dcbc, 0x87bbd39d, 0x1496303b, 0x39a4d1ac, 0x61a3b65a, 0x926ed020,
+    0x415549ea, 0x1630578a, 0x90919f99, 0xdf915165, 0xc2ac6fe3, 0xa5bdc8e6, 0x7512ae0f, 0xc293e65f,
+    0xf5a064c0, 0x2bf78add, 0x42fa4c45, 0xb2c2cc33, 0x1e5b7db3, 0x031fb79f, 0x6da81351, 0x2706ace5,
+    0xd19a37b0, 0x9f3fc6ef, 0xb6b142cc, 0xb5b62c60, 0xf3ba358a, 0xd3b90925, 0xf8b016b2, 0x7b11a58e,
+    0x9b976f8f, 0x80b9a061, 0x6f9596ac, 0x91fce0a1, 0xf4ac0821, 0x5e354099, 0x9c0f67ca, 0xb666752a,
+    0x654b8362, 0x2fe904b4, 0xa2bfeac8, 0x180790ba, 0x7d286987, 0x2e33b808, 0xbbab810b, 0x58432828,
+    0x1ebda879, 0xd267ad3a, 0x22496494, 0x2e7c65e0, 0xe0b746c6, 0x7c45b5b5, 0xfc361738, 0x08124ab7,
+    0x5bffe1ae, 0x39b30469, 0xc101173e, 0x02d96b73, 0xbaf832c1, 0xcdaaae7f, 0xc463c788, 0xdb7909c6,
+    0x8e34d735, 0x5edee6f2, 0xb38f3a31, 0x42ea2bad, 0xeac61105, 0x28c30cac, 0xcfae1908, 0x40843cc1,
+    0x33d75a1b, 0x30c69894, 0x792a412f, 0x4de60c85, 0xedd86401, 0x550dadcc, 0xdd3a282c, 0x77161972,
+    0xdb7ec63d, 0xd6038918, 0x68243b9d, 0x9b43b905, 0x49784eba, 0x1e07bd83, 0x77ceb125, 0x895d717c,
+    0x2be6a738, 0xe0050ab0, 0x2129fbf8, 0x99354c5b, 0x2936550d, 0x99cfc49d, 0xc40a67fb, 0x40ca8b51,
+    0x5a8ec758, 0xd4d93c61, 0x0caf280b, 0xcfea3cb2, 0x99661482, 0xc579a1cd, 0x7d34121d, 0x42c422ae,
+    0x358294f5, 0x1b0fd713, 0xae2f0690, 0xadcfdeac, 0xa5887506, 0x9ca96935, 0xa5706714, 0xdce9a05b,
+    0xa8ee1b1f, 0x8cf06f24, 0xee826866, 0xb0ccea70, 0xbf5f3f42, 0x326260e7, 0x157c0717, 0x49286010,
+    0xa1169dff, 0x17eed2ca, 0xb38e06ef, 0x2948a24a, 0xe121da3a, 0x8097b24b, 0xcde62e58, 0x368554c2,
+    0xcd350c83, 0x79c0edd9, 0x0c945cd3, 0xa64e8c03, 0xa3f00018, 0x8b80203a, 0xb1d24229, 0x4227dba5,
+    0x96e025c1, 0x6066fa3c, 0x08cdac89, 0xca2efb56, 0x52d38ab3, 0x197790ff, 0xd1172dbf, 0xb216c8a5,
+    0x645f3db3, 0x5b283d1d, 0xb7c795a4, 0x0b24c655, 0x6bd53f76, 0xa6e071f0, 0xfcf0a576, 0xfb2683bd,
+    0x84114d7d, 0xa6cd3b55, 0x217629b2, 0xdbbf5cd4, 0x1325d1ad, 0xf3fa022c, 0x41e2b6cd, 0x72f49cc8,
+    0x4025c520, 0x524146bd, 0x730f4943, 0x2515c70f, 0x61c59a3d, 0x26a2291f, 0xb80e9bb5, 0x773bc723,
+    0x670af401, 0x290a5aea, 0xd5ad63cf, 0x9e29f3ea, 0x267330ea, 0x1edf52c5, 0x3bde9dc1, 0xa31868f1,
+    0xae5d12b5, 0x92e87ebd, 0x6859e4a8, 0x6da4db75, 0x97d346da, 0xaa8f8ccc, 0x2fd3ec03, 0xc11a6c0f,
+    0x4e8245e4, 0xaee4c51f, 0x038156f4, 0x4bedb318, 0x8801285f, 0xcb1c2439, 0xd706def8, 0x90835e96,
+    0xc7c5b05d, 0x78d9c7c7, 0x0a6e37ca, 0x74a6ef44, 0x792f2d2a, 0xedb3a95b, 0x4984630b, 0xfb8cf91b,
+    0x25161e61, 0x1dc2d70a, 0xbc47958d, 0xc21a51d2, 0x0027b74e, 0x406f620c, 0x419d037f, 0xcfc0ffae,
+    0x12790133, 0xcebbc0c1, 0x3469f9bb, 0xa141ba06, 0x5276733c, 0x79a2655b, 0x9e7e866b, 0xf2e5db31,
+    0xc180cf4b, 0x930cc3d2, 0xf28a541e, 0x05eb6ca2, 0x2492f4bd, 0xc4512e88, 0x0fee7522, 0x771bea42,
+    0x1d947755, 0xe4f548ea, 0xafe5bad1, 0xf2109084, 0x559ff76f, 0x66f29b41, 0xce00f3c8, 0xf4af592d,
+    0xe432aa1e, 0xb842d972, 0xd85d4e05, 0x2b585e62, 0x2f36fbd5, 0x0373fc42, 0x60d89911, 0xd856b696,
+    0x624102f2, 0xaa08081f, 0xed98a3c4, 0x55743d8e, 0x39d44db4, 0xa57902ca, 0xf1a8806b, 0xa7c26a3b,
+    0x36d21c71, 0xdcd4a834, 0x99014851, 0x0f3e2ad8, 0xf4559396, 0xf7286a37, 0xe8dd0b56, 0xaa1514bc,
+    0x256c78a3, 0x881797a3, 0xedc1686e, 0x6137d993, 0xc74e86ae, 0x57c55a7c, 0xdc58e4bd, 0xd08b6e6b,
+    0x4b1906ed, 0x7008665c, 0x7f96db92, 0xaf0768f9, 0xd9548f7a, 0x07cfbbac, 0x12addf63, 0x4cfcc918,
+    0xe7a867a2, 0x9af7c264, 0xd765db89, 0x24494060, 0x45e31f97, 0x794809f8, 0x6b226395, 0x4b3ca1a0,
+    0xd44a2c2b, 0xd5968f6c, 0xef42b044, 0x23185c59, 0xe3e7ca62, 0x0a12e3c1, 0xcd541dc7, 0xa5234ff0,
+    0xa915c3ba, 0xa06e5110, 0xe0aaf17b, 0x6ce41f33, 0x22f605e8, 0x77814d8f, 0x7b839a36, 0x8af737e0,
+    0xd5470a07, 0xc7f9bed7, 0x778b64b1, 0xfb3167ff, 0x4bfa2f9b, 0x4d941634, 0x13130d3d, 0x8691d8e6,
+    0x2346a691, 0x1f3c5866, 0x854a09bf, 0xaf51c135, 0x609df503, 0x0375b6c8, 0xe90b22f8, 0x29460de6,
+    0xb9a59590, 0x9a7569e9, 0x8c5ef265, 0x92dfcc02, 0x6b01ab99, 0x60050ab7, 0xc0a68a57, 0x17370722,
+    0x7ddf1f4c, 0x4af2fd24, 0x774ac98a, 0xde6103b8, 0x9e71b9c7, 0x23e04cdb, 0x0736269a, 0x285de751,
+    0x205f54a3, 0x8ff20e6b, 0x6848030b, 0xaa127db9, 0xafb226fb, 0x8c5d8f6a, 0x8cfa00d1, 0xb7e0c06b,
+    0xc50b1f18, 0x4925160b, 0xeca947d1, 0xb0d17544, 0x14809ccb, 0x47ba152b, 0x079a5d31, 0x17c6fe77,
+    0x77f9d3fc, 0x21bf1843, 0xcb260383, 0xa252fab6, 0x9fb1e7b6, 0x326b1a1a, 0x8e3bfeba, 0x56500307,
+    0x0f82d48b, 0xd1ec4ef3, 0x8cc24450, 0xd24789c3, 0x322ce38d, 0x7c8db16e, 0x1bdcb85c, 0x7e33820d,
+    0xe004d70a, 0x7e2f08fb, 0x601d11f4, 0x550df4e6, 0xe03e2557, 0xf46b4dc4, 0xc854176f, 0x616c6505,
+    0x09731b27, 0x37abfe5f, 0x731631ae, 0xd79d7287, 0xb024c80a, 0x71b8fdcc, 0x02b661de, 0xb2ff1686,
+    0x8c95dd5c, 0x2dd020ba, 0x0bd8e819, 0xda4ede77, 0x8624a098, 0x3cfb0f84, 0xdd6fc031, 0x1d77ae74,
+    0x1f04b754, 0x03872217, 0xeb554acd, 0x5e03d11c, 0xc2c7561d, 0xca53ad01, 0x40d5cc74, 0x31133fcb,
+    0x74eec5ec, 0x1f29a5ba, 0xefac5d1f, 0xaeecf16a, 0x2eeecc9b, 0xd082d31b, 0x60ab31a6, 0xa47b2de0,
+    0x41a073f1, 0xfce76759, 0x66e26bd3, 0x74e8a9b7, 0x19bea4ed, 0x7fb4159a, 0x5749e287, 0x03036aa0,
+    0x5d55685b, 0x657c5ebf, 0xe7ce4348, 0x97ee591b, 0xc1a6f883, 0xdbe1caad, 0x870f270e, 0x66b68704,
+    0x97b1b433, 0x9f4bf266, 0x7a40112e, 0xf3c5ce32, 0x7ef1d0a9, 0x8438721d, 0xf2fdef43, 0x58690a94,
+    0xcecaff4b, 0x8610af8b, 0x58f2dfa8, 0xdbae296e, 0x4a890b55, 0xa3e5ffaa, 0xac9d5cea, 0xb2efaf72,
+    0xac8a9eab, 0x0276152f, 0xefecc510, 0xedf7848a, 0x025060d5, 0xc1a78925, 0x7b7aab36, 0xd923c88f,
+    0xed1e0f81, 0x2ed1e2e9, 0x47066a5b, 0x1121179b, 0xf9e128dd, 0xee635118, 0x11355884, 0x9ecafe80,
+    0xee0c1456, 0x051c9302, 0x33460882, 0xfd73275b, 0x1b3a9ee3, 0x5fc6566f, 0xf4a7dbb2, 0xf38e4377,
+    0x2283ebe0, 0x16f28bec, 0x006be952, 0xc72c03ed, 0xe8d2fa1f, 0x1ee97e58, 0x8dc1cc98, 0x4bda58cc,
+    0x05c78f09, 0x58ee5b97, 0xeefd77e4, 0x697b5948, 0xe3475d5c, 0xb47027d5, 0xd76e3de2, 0x32a93b65,
+    0x396ec33f, 0xbb9ed7bc, 0x04a39549, 0x1e70044b, 0x3d787f51, 0x1b977ed4, 0x4e8d4a6a, 0x8e6f4b38,
+    0xd7d79781, 0x2d05771d, 0x68afff54, 0x4ff31055, 0x4606e0c8, 0x2eb6cebc, 0x72b4326b, 0x9eb9316c,
+    0xae62596a, 0x958718f3, 0xa7752f6c, 0xb1c1b830, 0x2cde02f2, 0xde8b8afa, 0xf80c84ac, 0x95b666ae,
+    0x82796f3e, 0xb38a82f0, 0x5bc34c4e, 0xd3b0b1df, 0xb1fb14a2, 0x06956e44, 0x2a844a54, 0x476ef1d9,
+    0x4c62144f, 0xeef71ea9, 0xd5438c02, 0x352b54b3, 0xbdd4cca0, 0x253513fa, 0x94dd4045, 0xb9e12b08,
+    0xcdfec082, 0x3f407226, 0x46e14224, 0x7c2293a1, 0x0b0152ed, 0x3f4d1e93, 0x48d70ddc, 0x4c9d0b67,
+    0xece1e335, 0x92dee287, 0xbd8b19a5, 0x5cc16277, 0x68aa1327, 0x02c11638, 0x5f415f83, 0x17cc5298,
+    0xec9bef14, 0x3e99d7ef, 0x81ea91b0, 0x31839e1b, 0x50ab0551, 0x79a86d77, 0x4d7c1b34, 0x798bf6ec,
+    0x0f062dfd, 0x60fc17ec, 0xd059fc6d, 0x24b23add, 0xf0a06306, 0x168445a4, 0x1fad8268, 0xcdbd379a,
+    0x08d346dd, 0x9cbe01fb, 0x8bc3839f, 0x3bf9e041, 0xcf7c5014, 0x7f769886, 0x90643114, 0xdf471fd3,
+    0x439a7074, 0x190d4a85, 0x64c0df0e, 0x6428e691, 0x93674c5e, 0xd3db127e, 0x4b17f575, 0x8696c105,
+    0x61771786, 0xb38b30d0, 0x5b0296d8, 0x6362b03e, 0x749166da, 0x396d6036, 0xfee67be0, 0x9acd12ce,
+    0xac0fb2f7, 0x904c6fe0, 0xef5afa6a, 0x2ed6ef78, 0xa0a75c8b, 0xf9253d5c, 0x860fa9a6, 0x10e88576,
+    0xca13d744, 0x47d50340, 0x092e2201, 0xda7546cc, 0x87d507f2, 0x29eef509, 0x39e8dccc, 0x15b80ad6,
+    0xf8e39ebc, 0xb093f4e1, 0xa1193c7b, 0x265a164e, 0x96315786, 0x8ae3eea8, 0xd68d5de8, 0x53a12799,
+    0x590a0039, 0x73a54fea, 0x8251fe45, 0xc935a3ca, 0x5e521858, 0x3598b905, 0x315cb8fd, 0x864064ac,
+    0xf7eabb5c, 0xf650f1a9, 0xcfa3220b, 0x74038e3d, 0x020e73da, 0xc27f088c, 0xf6d77d72, 0xdc909f57,
+    0xe98e673e, 0xb330f2a7, 0xff2b24ff, 0x9fc4a61d, 0xc7549801, 0xe8e5770c, 0x2e884925, 0x1598e222,
+    0x271e6e6e, 0x036f3084, 0xae8c61e1, 0x78d5114a, 0x99455410, 0xbdc12185, 0x4d35a9a1, 0x9678ae2f,
+    0xad8ffe0e, 0xfc10877c, 0x24d88548, 0x091be608, 0x7e63a979, 0x76f8b68f, 0x25f2c7c3, 0xe9277d2f,
+    0x78bd5adf, 0x6aba24b8, 0xaa68ca2e, 0xad7d1a2b, 0x7cf27ff0, 0xcba93db4, 0x2ef74c63, 0x1c7378ec,
+    0x42ebcfda, 0x6b7dee1f, 0xe466c652, 0xcaa74546, 0x5bbe28b7, 0x38081993, 0x4eb75b2c, 0xe4d28ce1,
+    0xf0b8fe40, 0x55ddbc89, 0x6352c92b, 0x90261d9f, 0x5afcbdd4, 0x7bde8c40, 0x747f78a1, 0x24dfb80d,
+    0x854ce81d, 0xa6193794, 0x55d4b30d, 0xdf0375b7, 0x0cda1ea8, 0x4e89601a, 0x5200af30, 0x058052f3,
+    0xf9e68b6f, 0xc922db64, 0x9d8c8bc6, 0xf861879e, 0xa42d7921, 0x8b9287ef, 0x49bf05cd, 0x8652b21b,
+    0x24d15b55, 0xe02492a5, 0x9a6486c0, 0xa5672186, 0x92b8b8cd, 0xe18a48e4, 0x0f511c6c, 0x98460d11,
+    0xb9b4972e, 0x9ea83799, 0xa79669a2, 0xcf80baef, 0x501f3d36, 0xaeec3e20, 0x7b885160, 0x43b1c280,
+    0x9e4b0e97, 0x5c4a657d, 0x038aa68a, 0xc0f33553, 0x19c64537, 0x94ddcdc8, 0xe6d09f46, 0x9765e195,
+    0x580bd51e, 0x32277ab0, 0x604dfbc9, 0x39ff5b7c, 0x5e742d5d, 0xabe3a4ba, 0x86970b36, 0xf8fc8a06,
+    0xc5ccc1dd, 0xb33de863, 0x3d15d875, 0xdae47b35, 0x47357828, 0x426d6f59, 0xb40f14b0, 0xc62daccc,
+    0x2d2ea712, 0x40a38ff4, 0x48cd3587, 0x88313be6, 0xe25a987f, 0x6880eee5, 0x5a0e53b8, 0xeacaed71,
+    0x107238b0, 0xca196550, 0xca002f05, 0xb181a730, 0x15f64f22, 0x6942ee05, 0x7bfba3b4, 0x2fe6471b,
+    0x5240fb1b, 0x7632f180, 0x7a1721c6, 0x693dd73d, 0x73c1eb07, 0x383fe103, 0xe7ec3900, 0xf9552bde,
+    0x5dcf5238, 0x49aa5ec7, 0x249adb4d, 0x9ee5d7c4, 0x4f1bacfa, 0x2f69e1f8, 0x0d016e8c, 0xc088034b,
+    0x00000000,
+    0xdafdb4cc, 0x92bf6ff4, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000001361129467683753853853498429727072845824 */
+  { 0x00000000,
+    0x20d45487, 0x22dd0c24, 0x77615035, 0x5661eda3, 0x21fb8593, 0xbf00d99e, 0x6135c707, 0x1b697330,
+    0x1845bbc5, 0x7c3454cc, 0x350d53cc, 0x561f5963, 0x9e2418b5, 0xeaa01645, 0xba29046c, 0x77d0618d,
+    0xfc87e06b, 0x3b6525b3, 0x014c7969, 0xd78da199, 0xc0f21ead, 0x340b3c49, 0x36bfa20a, 0xa0e14f1b,
+    0x9ded36c0, 0xf4978dee, 0x8f6a02d1, 0x85df4060, 0x198d0f7a, 0x7dd3a12f, 0x44dd4257, 0x3c35271b,
+    0x8bdc75f4, 0x356c8e63, 0x57e89ed4, 0xed9ee2fe, 0xa05a1e12, 0x55e90eeb, 0xcaeea76b, 0x3406c164,
+    0x9f6bdc3c, 0x0a25f371, 0xc5b828f8, 0x45ec7f6d, 0x192fc0fd, 0x7caeaff5, 0xd16d90b3, 0x2c7ec6aa,
+    0xec1acce5, 0x5c9246d7, 0x3205576f, 0xc84e5b16, 0x50348b84, 0x822eea1b, 0x9194063f, 0xe1fdd39d,
+    0xa7422334, 0x387f0b9c, 0xffa29e19, 0xec2277fd, 0x2baff5e5, 0xb1edf6f9, 0x131d332d, 0x842257db,
+    0xbf07c8fa, 0x8b298c36, 0xc3a470a0, 0x6f6c6d22, 0x58bb379e, 0x63051649, 0x59778f17, 0xe131d8af,
+    0xb38ee18d, 0x93ba358f, 0xdd005106, 0x522cb8e2, 0x7058b9e3, 0xc4925a5f, 0x9c1b2539, 0x4519ae14,
+    0xeeaea026, 0x48459e56, 0xe11b88d8, 0x107fdbe5, 0x5c17b72d, 0x2cee0d01, 0x5076aeb2, 0x00b45f84,
+    0xaf4ecaee, 0x8e19801a, 0x68afb81e, 0x67cd1725, 0x8ba5c225, 0x8212bbd8, 0x42b15e7a, 0x0c345b44,
+    0x411c1f22, 0x5d1a5c3e, 0x02acdd63, 0x3703dd5f, 0x48ff9318, 0x254226d6, 0x5e232b02, 0x64488f37,
+    0x61e59ba4, 0x3a52e3d2, 0xc656db67, 0xd7fe251d, 0xa0d4f55a, 0xbbfbe3e7, 0x9a93d4a2, 0x31732720,
+    0x1cd1a839, 0x8fe5ac81, 0x9c08d8f3, 0x7f4ade8e, 0x59fb7f6c, 0xed400445, 0x45f35fbf, 0x441fa732,
+    0xcf2675ed, 0x24d199af, 0xac0162d3, 0x1d5d2756, 0xdfce0b40, 0xbefa5fa5, 0xe611883c, 0xa3fbe117,
+    0x97274304, 0x20e05a01, 0x94429e86, 0x3f9730d9, 0xe4da04a2, 0xee07c632, 0x11df5592, 0x2aad0ca7,
+    0xc7885754, 0xc9141645, 0x21a5acbe, 0xcfdac27a, 0xc5f50010, 0x4ac00d4e, 0x2a7b9f5e, 0x6c259a19,
+    0x21fee3fb, 0x0885d832, 0xecdd2518, 0xced50146, 0xb40db3bf, 0xca888922, 0xbc712ccb, 0x4c4c11d1,
+    0x235e1862, 0x0a6bf2e0, 0x7fcfb656, 0xf6cdeeb2, 0x724653d1, 0x19e375a6, 0x87133f27, 0x8389cabb,
+    0x17b764f8, 0xea94b522, 0x5754a9d5, 0x2883697f, 0x0287b765, 0x897be0f6, 0x0d6f9e99, 0x42dffae9,
+    0x2f920447, 0xcded806e, 0x24e215a0, 0x852566f6, 0xc7d340d3, 0x14690fc7, 0x1635a212, 0x3c2ef836,
+    0xb8f683f7, 0x519bfd33, 0x27441251, 0x98d41fa2, 0xe7c88ea3, 0x6ab16b61, 0xb3d04a4d, 0x0f99c913,
+    0xa986f693, 0x6743181c, 0x80e91b68, 0x40b93bc9, 0x9e0f69f2, 0x64a32e05, 0xeba8e3b6, 0xb75e7fa8,
+    0x9995e3d6, 0x6c829124, 0x404fbc7e, 0x76957056, 0xdd22a183, 0xc956295e, 0x6112796c, 0x61037214,
+    0x968ca047, 0x814bb6f4, 0x8d1d256c, 0xb307ace2, 0xaa22fe97, 0x5aa54c50, 0xc3c0b6e2, 0xf9b4403a,
+    0x0fd66f1c, 0x45e99e2a, 0x95a11fd4, 0x07c7469f, 0x0269a6c2, 0xc87bb6fa, 0x87d2d286, 0x0d827e2e,
+    0x9037f9ef, 0x2b074d73, 0xb7f756d6, 0xeb78b390, 0xc0c89920, 0x70079380, 0x083d07cd, 0x06ec9771,
+    0x7a26c40e, 0x0626bd14, 0x4359fac1, 0x2e232ccc, 0xa49329dc, 0x05dc57f9, 0x2db6278a, 0x7e840e01,
+    0x1410298e, 0x0ebfb5d3, 0x58d6af35, 0x3fd70455, 0xb43d3239, 0x417f3975, 0xa1f3f508, 0xdaeca3ca,
+    0x8b5845d3, 0xb2ba0fbd, 0x8ab61e28, 0xe6f430d9, 0x88cffa5a, 0xaa42289b, 0xae2a87db, 0x360cbe44,
+    0x087d2fa6, 0x49ac3003, 0xeaefc2e0, 0xc6c975aa, 0xac9efc6f, 0xfea5c2d5, 0x633675ae, 0xf7c2b6ee,
+    0xb7dac981, 0x00b2363e, 0x1aac67cf, 0x73e9d5bd, 0xd8d100e2, 0xbcac8aae, 0x0ad22cdc, 0x88e04dd1,
+    0xef4b6ae2, 0x068cef8b, 0x7c398ce4, 0x57bd4b7c, 0x1ec291c1, 0x6b03c906, 0x39266be2, 0x6a438e59,
+    0xad4d91d0, 0x6bcf680f, 0x75916c19, 0xee205bce, 0x9d09717d, 0xa644d4ef, 0x58aa004b, 0xe57cc6da,
+    0x5cef722d, 0x0f5ed724, 0x4acd7305, 0x32ee2a95, 0xb23c315f, 0xba19e2f3, 0x86284955, 0x0d8a7d43,
+    0x9f88be2a, 0x22ea9ac1, 0x6c4012d0, 0x56f111ad, 0x790e1d28, 0x8b561f55, 0x252120fc, 0xd077d626,
+    0x93f14b7a, 0xdbdf6c1d, 0x37b8389b, 0x5d8e3939, 0x666e08d5, 0xf7aa0baa, 0x136b5bb1, 0x7df1cad0,
+    0xb7a69284, 0x557e210c, 0x703c9041, 0xa9bc7137, 0x27b898cf, 0xae6f4e41, 0xa9b09d6f, 0x6a994849,
+    0xdb12d592, 0xa7d76625, 0xb552e93b, 0x47efe41d, 0xce1daaea, 0x0752ae32, 0x797d8551, 0x9ef45680,
+    0xc4451014, 0x2775fbdb, 0x5d8b7fba, 0x0fbc6f8a, 0xcc4a4fca, 0x9aac7b6e, 0xe0a95573, 0xe1c3c11e,
+    0xbdbf2731, 0x1ee20afc, 0x4f03403e, 0xd226263f, 0x38751893, 0x7a7b682d, 0xbf4ec673, 0x302fd6c3,
+    0x6f6ba26b, 0xdc5ac221, 0xd9a4a309, 0x954ecaad, 0x5b57f367, 0xa2dd62ba, 0x2fb6699d, 0x03c5cac4,
+    0x12d8096e, 0xc79596df, 0xbf221ec6, 0xea134e38, 0x947c1a55, 0xbf9ab8c3, 0x1e3769e5, 0x8c4f33bb,
+    0x29fae18e, 0x125fc4ed, 0xe00acebf, 0x90f38222, 0x9c8eb46a, 0x1a6b0353, 0x8f73f353, 0x85b19174,
+    0x1f2f83d2, 0x20d2c2aa, 0x36cf974d, 0x4b080440, 0x8c0bba86, 0xc7b2a766, 0x458895d8, 0x0133a8da,
+    0x2921c022, 0x12fd0b13, 0x8e6187fc, 0xa9367b74, 0xfb49cb09, 0x9fe4b1f0, 0x40eddbd3, 0xa7fdb81a,
+    0x2a8e696e, 0x55f6c999, 0x7472a68f, 0x2bf93563, 0x673cf64b, 0xd499f443, 0x9faf729e, 0x0dcb3dc6,
+    0x6f2bf4d4, 0x2f785595, 0xe00e2b10, 0x63dead8e, 0xbfbb5216, 0x7303359b, 0xc6d37593, 0x899b6ba8,
+    0xf3468822, 0x45ec117a, 0x9b9f1203, 0x55c43f6c, 0x09213351, 0x849325a3, 0xe808c2c6, 0x5748951c,
+    0xb192a746, 0x24946ca9, 0x4876c13c, 0x32efa233, 0x43d98b06, 0x4e370aaf, 0xf3f8f3fc, 0x7dbf3b67,
+    0xc058b603, 0x6c8f4b26, 0x78483f49, 0xb314b5a5, 0x8610f6f1, 0x27783c61, 0x44aef54b, 0x6efb8681,
+    0xdbb0694f, 0x1e395d42, 0x8a5d2b5c, 0x754cfba4, 0xb6a4d28a, 0xfe43de3f, 0xe071365b, 0xa5616b34,
+    0x3e95a3a3, 0x4b2fb5a7, 0x815c17b4, 0x592d5c62, 0x579dba03, 0xf38c0f0e, 0x2973156f, 0x0d777ca2,
+    0xeceecc6b, 0xf2086d17, 0xf2547852, 0xd0ae8364, 0x9284dd1b, 0x606ed72f, 0xe4a5d489, 0x0b4075a3,
+    0x2176697d, 0x12f507d2, 0x2232fd6b, 0xb1ec7f77, 0x33883562, 0xfcb749e0, 0x38964e3c, 0x89cde7c3,
+    0xb2e2e535, 0x51086ad8, 0x84d8ff62, 0x9e569bee, 0x80da6801, 0xeae66172, 0x1e86408f, 0x96657946,
+    0xe7633508, 0x69ed8721, 0x8c092620, 0x636a5986, 0xe3db1321, 0x793f0e96, 0x63bc2ea2, 0xa003791f,
+    0x5059379b, 0x56eda54b, 0x22959d4d, 0x059268ac, 0xee9779a9, 0x2495071f, 0xd2f81b9e, 0x456b4ba3,
+    0xa70ff2af, 0x1291e891, 0x0b6a4a7d, 0xc743b64c, 0x72628b17, 0x84406a48, 0x5beb0dc9, 0x032730e4,
+    0xa2e16af5, 0x575f9bc2, 0x8379b4a2, 0x8309f9d8, 0xdf24d7fa, 0x067487c2, 0x132a9f74, 0xe36e0fa1,
+    0x029c6df2, 0x8f7208ce, 0xae48b373, 0x8d752d27, 0x7aab3d79, 0x69b0e336, 0x300999fb, 0x0ac1ef88,
+    0x88f885a5, 0xa16c2076, 0x7637d525, 0xa3aebfbd, 0x08f7ebbe, 0x63cfc3be, 0x9b241867, 0xc6e37792,
+    0x014754d2, 0x6e99a196, 0x2f8ee064, 0x946546c7, 0x80d44bf0, 0x50342556, 0x00d097be, 0x2829fba3,
+    0xb9c6a380, 0x1d115c4b, 0xa82d20c0, 0xc572b884, 0x78f5ef80, 0x8cfb430d, 0x6bead2a1, 0x3f6ecfb9,
+    0xcf0dad38, 0xc6dfa077, 0xa9cd4296, 0xffa9b54a, 0x5ff0ff09, 0xbac54d6b, 0x1baaeb71, 0x780f396c,
+    0xa176e4fe, 0xd250ac72, 0x6a4f94c0, 0xee44cba2, 0x0becd988, 0x3757d0a7, 0x0bd51e62, 0x0bf6c7f6,
+    0x95e0cbdd, 0x3784ae71, 0xb67ff353, 0x976bc473, 0x9c988d22, 0xa4227c8d, 0x296ae926, 0xfbdfc6cc,
+    0x2403ca1f, 0x3ebd4f8e, 0x73073da4, 0x77dc07a8, 0xe0b2a34a, 0x328e8d5a, 0xf67a3260, 0xe8e420a3,
+    0x94d4ead7, 0xe4dd963b, 0xd35be106, 0x1b1af6d8, 0x23f40c33, 0x107d8035, 0x72cad750, 0x66c763b9,
+    0x98342c69, 0x8a16ea91, 0x96cf084a, 0xc69f4068, 0x787ee968, 0xab09ddc8, 0x80f9d750, 0x82fbb2b5,
+    0x43a3eddc, 0xe7e707a3, 0x805ca7a1, 0xeb4b476e, 0xc88b71f0, 0xb529c457, 0xb7cec992, 0xb8c34b10,
+    0x9aed265f, 0x2b32c1dc, 0x0cf7b0ef, 0x0b3f0729, 0x36f259aa, 0xea0c1225, 0x33fd19fa, 0x26a41923,
+    0xc598083d, 0x7890926c, 0xdb8b1494, 0xfd26b82b, 0x3f112c41, 0xce14d54f, 0x2b8e399a, 0x99ea05f2,
+    0xd513f9a5, 0x1570f586, 0x1a66e791, 0xdc93c40a, 0x89684827, 0x3265ec63, 0x0eb2895f, 0x44313cd1,
+    0x69f62b00, 0x53252e39, 0xc69afd83, 0xff75223a, 0x0329f86b, 0x9935e45f, 0xd829db93, 0xa459d6f8,
+    0x960df899, 0xe4805c11, 0xebc1965d, 0x51754ba1, 0xa55d93d8, 0x4fb4b21e, 0x799b9ce8, 0x9ee804a4,
+    0xab5b0b15, 0xe12dfdaa, 0x9986d22d, 0x2e2a993b, 0x8d9032cf, 0x887ef087, 0xf3a08378, 0xbf86c58e,
+    0x90ffbbc8, 0x105d4f17, 0x63299c2d, 0x34d4ec7d, 0xfd1166c3, 0xcd8f78ad, 0x48a72e0e, 0x3912a27c,
+    0xb9f44e23, 0xc45e7428, 0x22edb3ba, 0x622ff501, 0x5526a22b, 0x27f679f5, 0xe8232712, 0xb9a2da61,
+    0x46ac561a, 0x55fe1d06, 0xce5811be, 0xfbac9a22, 0xef664dfa, 0x43ca53e5, 0x5e43a6d9, 0x9c7c3853,
+    0x3f4b6fcb, 0xdb8bc3ff, 0xcf7cbefe, 0x6575ccd7, 0xbf7041c6, 0xfe37f274, 0x914be506, 0x8caaa0e4,
+    0x3596a9e8, 0xe511693e, 0xa8683ffb, 0xe5e2c711, 0x8f658e95, 0xc84007b7, 0xb9deae59, 0xe262dbe2,
+    0x61371f1a, 0x63b06947, 0x3e26f21e, 0x762b6746, 0x85b4f4da, 0xc3b2ff0b, 0x6eadcf59, 0x33532b0e,
+    0x4746abbf, 0x34683ab5, 0x35738365, 0x9e6b6a09, 0x43ff86db, 0x173b14f7, 0x8bb3cd4e, 0xd379d5a5,
+    0x81a0b9b0, 0x74280055, 0x86f28114, 0xc7849474, 0xcf76e832, 0x7a05c893, 0x4337e01a, 0xf2b98cb4,
+    0xaa818fb2, 0x4a81fa35, 0x85e694c4, 0x17fd317c, 0xcd514c15, 0xb26db2b3, 0xf8e1afa3, 0x077475b8,
+    0x6a0167ea, 0x83ff97c5, 0xcae6229e, 0x5f3a4a8c, 0x08177cf6, 0x809620f8, 0x7aa43b8c, 0x60b50d9d,
+    0x40f14e39, 0x479dfc29, 0xa124f050, 0xd3a84e4e, 0x93a8f7eb, 0xb7b5f18e, 0xb1bbfdef, 0x358d6ff9,
+    0x4ce4797d, 0x06b5f538, 0x23f70ad8, 0xd944d8ba, 0xdc8eebdb, 0xebbce47d, 0x924aad89, 0x586311c3,
+    0xb2eccafd, 0x126564b6, 0x13bb1e9c, 0x28dbdeab, 0x16a3fac5, 0x8d24a45b, 0x46d21c5f, 0x547825d5,
+    0x1a1950f5, 0x43007b38, 0x8b5eeb32, 0x350f1952, 0xa00a6c51, 0x0f6f8abc, 0xc99a38b3, 0x562c114c,
+    0xc9ad79de, 0x5cbb8424, 0x21cc6f09, 0x12ddc78d, 0x15e7ef96, 0xac8976b1, 0x059d2752, 0x9e8d53b4,
+    0x2967e08c, 0x908853d8, 0xa91e1eab, 0x66543e03, 0x7ee78169, 0xa57343b5, 0x421b9c9c, 0xc86c8059,
+    0x5d90b052, 0x9e6b0eca, 0x4ad3632a, 0xd2f5b529, 0x9ab6e231, 0xc9f65397, 0x4501f58c, 0x815ccf97,
+    0xedbfa418, 0x5c85064f, 0xb6fde123, 0x9a992752, 0x40fd2164, 0xa202c3b4, 0xd85aa882, 0x034c7ad2,
+    0xef8a751d, 0x2a7eb690, 0xef72252e, 0xbea220e3, 0x299199a3, 0x7aac5365, 0x326aed26, 0x3aa216fb,
+    0x80de3bc1, 0xef5579f8, 0xa0d16844, 0xafa38b02, 0xbc64cba9, 0x8d57e6c6, 0x45844693, 0x0f82fa74,
+    0x53da6e76, 0x91e3b762, 0x2f357a57, 0xf2b761ad, 0xa81f2c06, 0xa1a73ab5, 0x30421b71, 0x135e2dc6,
+    0x91ff4331, 0x05ffa782, 0x7c9d7635, 0x28d4a8f0, 0x4b3f9371, 0xee526540, 0xfff08c3b, 0x1c6b98b8,
+    0x97515135, 0x1c187593, 0x2e662629, 0x27eac234, 0x8a1b6062, 0x17acb9c0, 0x8bf8061d, 0x3d46d5f1,
+    0x529b9221, 0x530181d1, 0x2837e9a9, 0xcd4c2759, 0xa9289e6e, 0x833c4cf7, 0x46ae05d8, 0x6bf9c8b5,
+    0xdec4db5b, 0xb2999aae, 0xc7282475, 0x6d9558de, 0x529b0317, 0xd0d294e8, 0xc0d8f793, 0xb78dad2f,
+    0x7d13e619, 0x9302f643, 0x469bebd0, 0x03ded729, 0xa815446a, 0xffe64450, 0x7c20ac3b, 0x14c79a0b,
+    0xf069b6db, 0x8f799cb4, 0x6d8b691f, 0xebdb583c, 0xc2b82d53, 0x88899cae, 0xdc4cea4e, 0xb748aec1,
+    0x5f4c5c06, 0x07705685, 0x3e5fc2b2, 0x32ca3b05, 0x2995083d, 0xd1f701de, 0x04daebf4, 0xf923f308,
+    0x501cb55e, 0x55e4e7b7, 0x682f0dc8, 0x36215e40, 0xf1ca1250, 0xf112b11f, 0x5e5db8be, 0x33b4fa63,
+    0xe5c439d5, 0x6711d4d9, 0x26e85616, 0x3b7a04c9, 0xd247a7fe, 0x5b69adbd, 0xd4974345, 0xecdcf3d4,
+    0x00a11878, 0x6ba78b85, 0x5b40b8bf, 0x02a386a6, 0x6502ed09, 0x943a9030, 0xf7947f73, 0xbbe19885,
+    0x8dc8a667, 0xbb89cef9, 0x7a59a298, 0xf0213949, 0xa0c5c421, 0x7dc654d1, 0x8b353287, 0x736e4283,
+    0x9d1b7de1, 0xbcd520f4, 0xdd75f0f4, 0x592a65ed, 0xb8183211, 0x9b719a8f, 0x495f74fd, 0xe84f8ef0,
+    0xaec4946a, 0xf60dbd13, 0x90b11d61, 0x52ec1587, 0xe4b90247, 0xcd9e3bc3, 0x73548236, 0xd9dcc6d7,
+    0x36833442, 0x3fd23277, 0xd1068f57, 0x0559cf89, 0xc9a10543, 0xdccddab9, 0xd88e2db6, 0x2b73a848,
+    0xd8e43d40, 0x2f4815be, 0xef665aa7, 0x08ee396d, 0x4a8db28a, 0xdb9e9d20, 0xb8572b22, 0x7b9a29f9,
+    0x23017506, 0xc6111460, 0x3665e141, 0x1670dfed, 0xaa93debd, 0x511cc3b5, 0xa6762923, 0x04c1ffa2,
+    0xe777a3d1, 0x33f06c8a, 0x971bc442, 0xb5aee320, 0x01028e9f, 0xf631c9ff, 0xa323c5c2, 0xe7be6827,
+    0x7263cfc9, 0x9669d0c1, 0x92f339f0, 0xb56bfe2a, 0x748d75c5, 0xde5bf016, 0x56857d7e, 0x0fb22df1,
+    0x4405d5b0, 0x5d62cb5b, 0xaf588ca4, 0x0d98ee22, 0x779132b3, 0x1c0e9a33, 0x058bdf22, 0xf1df9ef9,
+    0xd73a5bc1, 0xc0d9a358, 0xd05d18ba, 0xee24a275, 0x86296a43, 0xa013491b, 0x8895d799, 0xe9048089,
+    0xddeb8506, 0xd22b41ae, 0x0842cc20, 0xdb9c9376, 0xf21cee80, 0x9aa9a6c4, 0xcb012927, 0xa2cad43f,
+    0x95766376, 0x73ef5b6f, 0x435b5d98, 0xdc13fbfa, 0xdfedb458, 0x04f96b1d, 0x88b04178, 0xcc6fe68d,
+    0x074f2e82, 0xf7b13960, 0x4324646b, 0x37af90cd, 0x9a185c37, 0xc906cc56, 0xd5c212f2, 0xb67f0dfc,
+    0xd8cb76ea, 0x0d7276a6, 0x9fc71d5f, 0x7a8e6724, 0x026b781b, 0xe0d80e1b, 0x34d20f10, 0x576d81ac,
+    0xcb51b3e2, 0x451ec1be, 0x459b4e73, 0xc79993f9, 0x6f5aa38b, 0x54c5649a, 0xe3b87454, 0x32fb1141,
+    0x9afcace9, 0x75d8ea43, 0x939cf83a, 0xc8cb9bcf, 0x58b03e2e, 0x51b69d2a, 0x02084c03, 0x5d1a82a7,
+    0x77a00a2c, 0xb1762771, 0xc880a351, 0x332d7658, 0xaa201a21, 0x85c0e9f4, 0x16435a28, 0xde02504d,
+    0x00000000,
+    0x6d7eda65, 0x495fb7fa, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000680564733841876926926749214863536422912 */
+  { 0x00000000,
+    0x50cb8928, 0x959f6001, 0x4ab08b8a, 0x6337b07c, 0x453aafbd, 0x06c96fdc, 0x2d986139, 0x90f452cc,
+    0xfb1c3db0, 0xfcf7b9c1, 0xb55fdb7c, 0xc5486042, 0x1ea12ec7, 0xa6f935bf, 0x9470003b, 0x0372a366,
+    0x78aa0018, 0x9cfe33de, 0x41b8879d, 0xb96c15cc, 0xd037536f, 0x04a98a7a, 0xe229e3f3, 0x1bf3870b,
+    0xd86ac61d, 0x0230c5ad, 0xb73505dc, 0xaea042dc, 0x89358a30, 0x02d7054d, 0xddf4474e, 0x50b8e259,
+    0xbcadb33b, 0xf475186d, 0xeb1c9c5d, 0xb1f49ec9, 0x03eea485, 0xae677856, 0xd694dbd6, 0x47189755,
+    0xd5f1d190, 0x2595766f, 0x7defd449, 0x9a53af74, 0x5ed5eabe, 0x900ac8c1, 0x0052eb03, 0xb1a67fab,
+    0x90d8ef51, 0xfa09091a, 0x1f912f37, 0x93298c44, 0x91e8cc7c, 0x61936c39, 0x01080442, 0x86762408,
+    0x1e6f5f0d, 0x8d479821, 0xf7968737, 0x9f78f2a9, 0xb1ac83ad, 0xfb902d9e, 0xaebf1ccf, 0x4d8db042,
+    0x9ea94971, 0xace88a00, 0x799066ae, 0x6f8bd2bf, 0xae88b4ed, 0x8412063a, 0x592310f6, 0x92f81d62,
+    0x4966592d, 0x69828f59, 0x86776be3, 0xd1e24655, 0x1dc3dbe9, 0xbb34d1e1, 0xd151befd, 0xf5a7e072,
+    0x939388da, 0x31bb77b5, 0x8c428507, 0x4c4e5b1b, 0x7ed4ab7c, 0x24eadbde, 0x12c12d6c, 0x908041a7,
+    0xf749a345, 0xf7bdfe92, 0x364ac87e, 0xa5e2e185, 0xe3a9ebdf, 0x18e8d3fc, 0xc17878f7, 0xe5818a16,
+    0x08ca2fbe, 0x7ba11792, 0xbc9d3bc1, 0x455e7a53, 0x53e8cee1, 0xb8ce4017, 0x4b3b5980, 0x870c5ef8,
+    0xb5dd53c9, 0xc960045e, 0xcaec071b, 0x302be0fe, 0x49dd76ac, 0x22de41b7, 0x73eb2e0f, 0xc19426be,
+    0x644ab5b4, 0x8108d337, 0xb3e0667b, 0xa64e461e, 0xce0d69c8, 0x844f5a7a, 0x2de47d91, 0x8b3f57ed,
+    0x71b6c268, 0xe68f43c3, 0xdc3307a9, 0xd31f70de, 0x24f738ff, 0x1ba3d95b, 0x84122c4d, 0x7f19bc62,
+    0xde577d45, 0xcc2a7df5, 0xea71a188, 0x45d1749f, 0xd87ff973, 0x4ded64b2, 0xe1b5a473, 0xb121de50,
+    0x7ef8fe32, 0x8a03ea43, 0xbe4607df, 0x0fe3bdfb, 0xceadb9d9, 0x027b06e2, 0x3b2087bd, 0x15225a05,
+    0x87df8859, 0xe50f0f82, 0x10cfcb9a, 0x044705d5, 0xbfbe8e6f, 0x1be408e7, 0xc1aa316d, 0x17ecd333,
+    0x43c647ad, 0x4dd92ba9, 0x035960c9, 0x9f6a778d, 0x09853870, 0x5971f148, 0xce6c1df4, 0xc9ea30c0,
+    0x3400823e, 0x6d939d0b, 0xc5f23ebd, 0xe2e8aa0c, 0xd92fe517, 0xb8a41181, 0xabf92b73, 0x6c869d9e,
+    0xf52d8ee7, 0x86a939e9, 0x5e968794, 0x2181ba42, 0xc27bc1bd, 0xd22be50a, 0x635fa7bf, 0x6c092d5f,
+    0x623ced66, 0xe22c9a74, 0x119376fc, 0x631716a0, 0x8cbb99dd, 0x3f656abc, 0x1c3a2d67, 0xf1358936,
+    0xad7a4500, 0x56c9a9e7, 0x9a7441dc, 0x0cd7304b, 0xc51feaa7, 0x1fe117c8, 0x846352b3, 0xd4f694d8,
+    0x65eec193, 0x868011bd, 0x7c09808c, 0x4efeb0a2, 0x020bfad0, 0x05a78b97, 0xa0417d2a, 0xd7548202,
+    0x7c6e611d, 0x67eddabd, 0x3ddc96cf, 0x9bbf7415, 0x94ea8965, 0x8d56269c, 0xf3347e66, 0x05b70d2e,
+    0xc9ba77f3, 0xae334cf1, 0x36473658, 0x702b7be3, 0xea5c0cf1, 0x524c6dbb, 0x51006300, 0x2273f6ac,
+    0x67a3a3a6, 0xbfb4ff0f, 0xcd26606e, 0xdbd0522d, 0xc1a642c6, 0x88e149cd, 0x805ec5af, 0xe819a11a,
+    0x48cf16fe, 0x9f31d4a4, 0x8cfcc01f, 0xefd5af66, 0x251c2328, 0xb6455bfa, 0x7a4ac8fb, 0x2ca5a130,
+    0xca9d3cfc, 0x216ad49e, 0xffc654db, 0x87d5c244, 0x9949824f, 0xd16a8724, 0x9df65c72, 0x984a7e68,
+    0xe8cbafd4, 0xeee68554, 0x5d098668, 0xe583fa22, 0xbbecca9e, 0xb464796a, 0xdb718c2a, 0x1b044ff5,
+    0xcd83b03e, 0x127b3335, 0xcaa2f20c, 0xc171878e, 0x2afa1815, 0x606d089a, 0x336a3f8c, 0x645328a6,
+    0xbb08f2b3, 0xd3d83ee0, 0x677e62b6, 0x0b5b3590, 0xbab20b0e, 0x7c912bad, 0x3702ab16, 0x4f4d5e0e,
+    0xdd559961, 0x7ade8a47, 0x8754ede0, 0x458f9dbd, 0xf967f34c, 0x0956cab3, 0x084a4410, 0x6e11a827,
+    0x29c4a351, 0xded1ce7a, 0x2701cb04, 0x5d9cc4bb, 0xcf015001, 0x788027b4, 0x82f5ac31, 0x85cdc45a,
+    0x454f6a2f, 0x9f31292a, 0x81dfabb7, 0x03ff0e97, 0x6f5e11c3, 0x26ba2dd1, 0x1ff04d59, 0xdf02d980,
+    0xf95a4f09, 0x91c40890, 0xbfb4e016, 0x95c8278c, 0x9a005e5c, 0x64e76899, 0xf6d1fabf, 0xc2602cf5,
+    0x4fac7862, 0x6a4222cf, 0xbaed8dd4, 0xfad98c70, 0x09e1b332, 0x94606801, 0x1148eb1f, 0x77c69fc7,
+    0x56572fdb, 0xd73a1802, 0xb7dd40ad, 0x614d85aa, 0x3c4ce325, 0x86605a31, 0xeee21366, 0x2c1b142f,
+    0x4759ddc7, 0x25900373, 0xfaa37ba9, 0xfe8b8aec, 0xfd67df2b, 0xb98b2b57, 0xc3b3ab80, 0xa45eb1e1,
+    0xaa8fbf29, 0xf3525ec8, 0x69d74abd, 0x9c3c9136, 0x2f0ce936, 0x2d31c308, 0x84d3ed25, 0x8d3a24a7,
+    0x209e6533, 0x8627f4ff, 0x7c3dcf4b, 0x7af0ba49, 0xae3003f6, 0x0521fe01, 0xcad65afd, 0xd2753bde,
+    0xbf6fe322, 0xec8eea57, 0x87453e76, 0x04dae4b0, 0x9881f534, 0x07bf21a5, 0x58800332, 0xe4763cc2,
+    0x6d6f633b, 0x2032e6d7, 0xefc18ca4, 0x8e1d44db, 0x1527ebb4, 0x1749980c, 0xd95b4970, 0x53083e3f,
+    0x1faf493b, 0x44104263, 0x3f687245, 0x893f5fd1, 0xfecae4ff, 0x091a710f, 0xc7c7dda5, 0x00cb0d76,
+    0xdf4412d9, 0x6abd8f38, 0x05750340, 0x83fe5d16, 0xbf4023bc, 0xa90c32f4, 0x9680efcf, 0x39aaf38c,
+    0x9a955149, 0x153eee25, 0xad174ce5, 0x63e7f578, 0x7ea13b55, 0x28dca15f, 0x74454fd5, 0xfd8d8a57,
+    0x26f4cb4a, 0x27ef6b83, 0x043f621d, 0x32df4195, 0xf21563f5, 0xaee14d09, 0xd39c2a58, 0xb2dfab7b,
+    0x1ed6b33b, 0xdbd82725, 0xfe2406a0, 0x83419e7f, 0x3b7aeecc, 0x319dc05f, 0xda4630b1, 0x918da4b8,
+    0xa6dfc9e8, 0xbb78b342, 0x769b0956, 0xc78deeae, 0xa38db126, 0x7d4dcddb, 0x3bf88d92, 0x0f6bb301,
+    0xe1399d65, 0xebe1c7be, 0x7cb74652, 0x4fa1cae6, 0x329adddd, 0x7bb7fe9e, 0x39093dd9, 0xb0989d77,
+    0xcc0db8cd, 0xdea5c0a4, 0x9f88ee3a, 0xe399244b, 0x9b575c09, 0xfad38616, 0x2b3abed6, 0x92d22f4e,
+    0xb8c2344a, 0x2d28d32e, 0x0f717320, 0x77ad3934, 0x300a2211, 0x5a48e00f, 0xd93381ef, 0x9fcd3838,
+    0x2bdde1a1, 0xe19970a5, 0xeb39eae7, 0xbf94c4e6, 0x51a1dd0f, 0xa62c9897, 0x57a30410, 0xcb5a5609,
+    0x5f1381c7, 0x8f8c42bd, 0x871faa06, 0x458f6a51, 0xc0bc31e7, 0x791e55c6, 0x650bfcdd, 0x4b88d3e7,
+    0xe8d54aa3, 0x18965549, 0x741cb07d, 0xbfe271f5, 0xe166c431, 0x621ce0f5, 0xf89c264f, 0xf3ecd44f,
+    0x94d04817, 0x9fead1a4, 0x382c8eaa, 0xb89f5ba4, 0x07acd596, 0xe26e271d, 0x77e38d5f, 0x3331bb65,
+    0xc4b4c9cc, 0x05bcbaa0, 0x6a8b5042, 0xa6ab4dbc, 0xdc9ac52f, 0xf8a325ab, 0x91b415fa, 0xf3a3d085,
+    0xfa24055d, 0xd3ffc967, 0x1b893a6a, 0x6dfd653e, 0x05d0b583, 0xe71f5ef2, 0xa3a40e80, 0x53d2ac0e,
+    0xf08fcd03, 0x956a9088, 0xc6c3a409, 0xda099849, 0x7186430d, 0xb084965f, 0xd64166b2, 0x03307a3e,
+    0xe3767ff4, 0xd97eb8de, 0x5c21f200, 0xcd88dd0b, 0x6c6b7746, 0x1a5d1238, 0x0e4c01a2, 0xabfebc28,
+    0x20807d30, 0xc5b7fe99, 0x358becdb, 0x4833cbee, 0xa21e6605, 0x9ccf7dce, 0xe7fff2af, 0x6ef3cde5,
+    0xc8f8a3a7, 0x642468fc, 0xf008d414, 0xfb359d11, 0xca1efdfb, 0x5ba86f5a, 0xe7cfa7c9, 0x0ce5ed3d,
+    0xd16325fd, 0xe3ef0acd, 0x5620eed9, 0x4be51730, 0x68764ad9, 0x523aa0e4, 0x6df97040, 0x2c422901,
+    0x493b4e8f, 0xcc35c7a0, 0xf831577a, 0x84da1e2e, 0xac920bc7, 0xa50db7df, 0x306b44bb, 0x0a185539,
+    0xb11204b6, 0xb5e0489f, 0x77f939f7, 0x361c7635, 0x4c065170, 0x1fb778ba, 0x07bfb5aa, 0x2bcf837f,
+    0x2a4f8f39, 0x37048d02, 0x20741b61, 0xb6ce014f, 0x88c4cffc, 0x79977b0e, 0x290e5199, 0x67adfbc3,
+    0x61643497, 0x654f3739, 0x8b72fc61, 0xc24cd900, 0x083630dc, 0x58ab60ef, 0x2ae05c90, 0xcc7ad788,
+    0xe7c58c15, 0x22d212a9, 0xae738c10, 0xbc4f58c9, 0x00730ceb, 0xe2bb398f, 0xdd6b0492, 0x895a6800,
+    0xa9e48118, 0x07b18b89, 0x6f066a42, 0xe14c949e, 0x2f904ee0, 0xeb26dc89, 0xe3191fcd, 0x0e9c3113,
+    0x4aea4f96, 0x808d2928, 0xc98fba0b, 0x161aba7d, 0xe810ee3f, 0x03ffde0b, 0xbc5c781c, 0x13d7ab5a,
+    0x20712ae6, 0xbbb67020, 0x309b283f, 0x8c3c6479, 0x2ff9f331, 0x08bad167, 0xa1e88d7c, 0x0f13b688,
+    0xb3cd0c36, 0x073095a8, 0xdecfa4f0, 0x516fdd91, 0x11cd6c96, 0x85d8be50, 0x6cfae873, 0x13f2b64d,
+    0x36ed6b4d, 0x66792491, 0x342ab37d, 0x404bcd48, 0x78377d23, 0x937e2540, 0x6343a257, 0xab376b2a,
+    0x2c4232a9, 0x7a3cfb9f, 0xddbcec61, 0xb65540c4, 0xe67e1118, 0x345a4f96, 0xf191175c, 0x7cc39b38,
+    0xb7a2d352, 0xb886b734, 0x182d555d, 0x8444a32a, 0x14d40451, 0x0cc1cdef, 0x28d35058, 0x08209bf8,
+    0xb872d2b7, 0xf5fc7acd, 0xc5a60538, 0x6876b53c, 0x38aa8bb9, 0x8a49a8c6, 0x19e2894a, 0x0e772dc7,
+    0x39c20965, 0x7cf4ad08, 0xa6b6f4aa, 0x6eaca85d, 0xa8c4a97a, 0x98029d5d, 0x294e85c7, 0x73a29243,
+    0x37570152, 0x199706f2, 0xc0a23e52, 0x15f1dd9e, 0xb8a66af8, 0x725ab253, 0xe6c8ad33, 0xf8eb9fd8,
+    0x81b1d7eb, 0x7f5a6899, 0xf8c17594, 0x2c0196a9, 0xb1b857f6, 0x0f417bb6, 0x5efd583e, 0x6ebc4738,
+    0x3d1a0c3d, 0x9ff5025c, 0x34e6fa7b, 0x459f217f, 0xf37a2bc9, 0x4008bfb9, 0x1e1b4721, 0xb97a8d65,
+    0x5233b82e, 0x233278cf, 0xa2b2e684, 0x34165b08, 0x496095bc, 0x8cb6796e, 0xd7083334, 0xce3e6048,
+    0x9d75deba, 0x41126dd4, 0x8ddc5f2a, 0x63b52eba, 0x013e47cc, 0xb4c0133b, 0xd0681439, 0x3dffca05,
+    0x26ab9886, 0x33f02c9d, 0xec7ff05b, 0x219928d7, 0xe30cbdc3, 0x83d4f232, 0x648f2fb6, 0x965235f3,
+    0x097b379f, 0xadea6408, 0xa397a250, 0xe4bb31cc, 0x98660219, 0x24c30838, 0xca964952, 0xd576c525,
+    0xc9052ce0, 0x7ca0e441, 0x3de614fc, 0x9ce63a43, 0xff3ca621, 0x80d7fbd8, 0xfa75f1d9, 0x08b2d060,
+    0x1b8290ea, 0x152c3db5, 0xd71ee031, 0xbae6ec4a, 0x4004afa9, 0x3c425b12, 0x120412fd, 0xd2761b46,
+    0xb57c8832, 0x1b73692d, 0xe0882e4a, 0x5b1189b0, 0x02c1e2de, 0x5db0cef5, 0x4be8f24b, 0x8e9818da,
+    0xe5c72600, 0x6c5554b8, 0xa8a52651, 0xcab7ef32, 0x4e0649c5, 0xfddfdd61, 0xb5ee85fc, 0xa98243d0,
+    0x83466f4e, 0xaf059ab0, 0x435d3330, 0xa2eaaf5a, 0x0cbc2d63, 0x7038c533, 0x97c63fc3, 0x04727a70,
+    0x3e514a30, 0xd0c65f92, 0x994652c6, 0xd121d304, 0xe76b3772, 0x18528bb6, 0x4065b8c3, 0x8d3a9982,
+    0x06c8dd4f, 0x77c4b44d, 0x5082954f, 0x3367a31f, 0x92651e43, 0x75a80ee7, 0x42a7e0b7, 0xdbe4f0fd,
+    0x86e92c3b, 0xd8f400ef, 0xd68eabdc, 0x83fe63a3, 0x114266a3, 0x32aac898, 0x3bd3f234, 0x3455ea32,
+    0x7dfec3a1, 0x5a2563c4, 0x144596bc, 0x0e514700, 0x2da66275, 0x581f156a, 0xee2f50d5, 0x679262e4,
+    0x09a1d07b, 0x8a87712d, 0x3bf0b67d, 0x258e2a1a, 0xae23b9da, 0x931505ab, 0xea7e1691, 0xbff4f61b,
+    0x8dbbeae2, 0x72114350, 0xb174b854, 0x96f58654, 0xfd87ee5b, 0x183575f4, 0x98479ece, 0x2655754d,
+    0xd2199aed, 0x95e48f6b, 0xa804fba3, 0x403c6e98, 0x88d539e3, 0xb6b6dbf7, 0xc5fb2c9d, 0x969ede6a,
+    0xdffcec55, 0x4a0fc5c9, 0x6bcdca1e, 0x74197fa8, 0xdb214175, 0xe7406ef4, 0x89254c24, 0x72f4c92e,
+    0x5463f896, 0xb6b7f739, 0xa8c9f03c, 0xf16680f8, 0x11d4d1e6, 0xc1c90d4a, 0x29e5929b, 0x1e896c67,
+    0xa5d33c50, 0xefe4c298, 0xdbbfd7c1, 0xb510844d, 0xd5c84bfb, 0x84f62f09, 0x99670702, 0xc859d622,
+    0x205f868f, 0xeca17de4, 0xfaaf7218, 0x8d365dbc, 0x1fb57c4c, 0xa72cca44, 0xf353308e, 0x6d94032d,
+    0x62d94626, 0x4f4d832c, 0x1677b80d, 0xc813fee6, 0xcaea34af, 0x8cadf950, 0x92df4d30, 0x0aac6036,
+    0x976803d4, 0xc0d6e182, 0x1eb1083b, 0xa2cb0609, 0xf07c6c54, 0x0a049472, 0xf5a75d54, 0x001ac954,
+    0x2615bec9, 0xa71579c7, 0xfa2b6e37, 0x55bc12fe, 0xb9c9c1c8, 0xec6f88ea, 0x0a0064bd, 0xde7ff95d,
+    0x444c20dc, 0x35e574ac, 0x0cfb4fe9, 0xf9bda069, 0xb3396d34, 0x10632dd6, 0x9177c980, 0x4adcf6fe,
+    0xfad88c0a, 0x0f7b1530, 0xbeec2a85, 0x92f27363, 0x08e5fb9c, 0x4f9c10fd, 0x2236e837, 0x25deb067,
+    0xf545c6be, 0x5c999c5c, 0xf0df0dd9, 0xa8ed64f1, 0xd10fb418, 0x9117d268, 0xd5c784ee, 0x197b0317,
+    0x1a156d59, 0x447768d5, 0x10fec0e9, 0xb9458bfe, 0x392c65ed, 0xd8944fa8, 0xea5e5c26, 0x27175c07,
+    0x245c5b05, 0xd2898ed3, 0x3b3ce14a, 0xd12861fc, 0x27fc5b7c, 0xbd32b157, 0x0a3457c5, 0x848dd89f,
+    0x3db79dc5, 0x23d17206, 0x707444af, 0x1812a8e6, 0x789598ab, 0xb099cbf3, 0xc7f132f2, 0x477d1700,
+    0xda6713f4, 0x45b52b84, 0x993d2726, 0x0917a024, 0xe0386954, 0x17435de9, 0xdf1309dd, 0xa902fc9b,
+    0xe8b31cf8, 0x8a89d85a, 0xa7a8bb0f, 0x65485222, 0x2e9c028f, 0xcd39bfb9, 0x0150ad88, 0x0c791097,
+    0xa384641d, 0x24dd5132, 0x1e54aa4d, 0x614a3dfc, 0xf8ae64ef, 0x85f43a3a, 0xd0828ce1, 0x25b99f97,
+    0x6a47afd6, 0xbd795fad, 0x305e31db, 0x3cbeb828, 0x3d0b83d6, 0x7e7c6343, 0x3e5e4e60, 0x4fb941f7,
+    0xe208e324, 0x29db1ace, 0x942aef4c, 0xe407f6bb, 0xe2d6882a, 0x7dc2531c, 0x1421849a, 0x81c2f5a4,
+    0x2aa6b7d7, 0xb0a9b7a3, 0x3adff5c1, 0xb39f7755, 0x9f4ebcf1, 0x50fe5db5, 0x03ecdf3c, 0x0f2e259e,
+    0x4593ed0d, 0x44935181, 0xfe43f61d, 0x86b44d10, 0x301bb709, 0xc22c3c7a, 0xa415c3ee, 0xe3d17315,
+    0x0b143c7e, 0xcdf7b738, 0xe6a9c7cd, 0x7a4cf63b, 0xe9639906, 0x0f067147, 0x4d53eba9, 0x9cf65429,
+    0x77b4d1ca, 0xe14bb19c, 0x55a1ba7f, 0x6e27a465, 0x4bcb8d8f, 0xdc900764, 0xea0b1dfc, 0xe8d3da9a,
+    0xca8900a3, 0xf84ab813, 0x81ab04ae, 0x9bcdbd39, 0xaf52f47e, 0x72b7406c, 0x3788ef91, 0xf185c197,
+    0x2f5f5170, 0xe042daca, 0x1849c676, 0xb369d3ba, 0x20344287, 0x7838b6b2, 0x8e638a42, 0x2f9c2f8e,
+    0xb6c0990e, 0xbcf34391, 0xc7e30ee2, 0x17900f5d, 0x84b68ad4, 0x0de29d69, 0x9b841fca, 0x0a3edcfa,
+    0x619d4035, 0x588e68b7, 0x2e209561, 0x506ee4f5, 0x8f9be338, 0xc25aac4b, 0xa9f8de4f, 0xf546d455,
+    0xf87bfecd, 0x4da121d8, 0xba8c0499, 0xc88189f4, 0xc1238fce, 0x1265f83f, 0x2a7c85a2, 0x0616deab,
+    0xaa15670a, 0x72f80a03, 0xe9eae8aa, 0x56767dba, 0x704322b8, 0x07946220, 0x2b680b69, 0x63c09f2c,
+    0x5c9ebc1f, 0x37479556, 0xcd2d25c1, 0x8644dfa1, 0x42dd90e7, 0x1823ca15, 0xcda86bff, 0xa892ea8a,
+    0x00000000,
+    0x36bf6d32, 0x24afdbfd, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000340282366920938463463374607431768211456 */
+  { 0x00000000,
+    0xfa9d7fa1, 0xd56341bb, 0x5700c41e, 0xc63167cf, 0xc8ca730a, 0x596f0df7, 0x39b96aaa, 0x4a6c2a50,
+    0x19cacdca, 0xd4a3d1b0, 0x886dd937, 0xc66650e9, 0x31889197, 0x2e2be6a1, 0xf757fa46, 0x8a172035,
+    0x4f1e1f51, 0xf42d20ef, 0x414979c9, 0x2c36fcce, 0x6b6acadb, 0xd47ac83a, 0x5794efb0, 0x27f3303e,
+    0xf2ba7d97, 0xa583461a, 0xc302f38a, 0x8f6a850c, 0xac269cdd, 0x322a06b5, 0x43875ab4, 0x248b3bf4,
+    0x6c6d285a, 0x465f5ee0, 0x9012b223, 0xf619fa34, 0xae636c91, 0x681596fd, 0x1b96537c, 0x580a3dc3,
+    0xb99268c4, 0x6a0be15d, 0xc57d4506, 0xb939886b, 0xe2309125, 0xb44eb05c, 0x6c6a3bbd, 0x9d50ae4c,
+    0xbd8cf011, 0xf85ece68, 0xd50087b2, 0x0f6f3963, 0xa72417d0, 0x71ac33b2, 0x44947000, 0x0e1957f6,
+    0x07c04911, 0xa8f72800, 0xc5285ef2, 0x955da78e, 0x58fb95ac, 0xde2b2af8, 0x1f56a79c, 0xd798e1dd,
+    0xb39dede6, 0x696f8d4a, 0x52aeecf2, 0xe8cfbefa, 0xac82891e, 0x3d69571f, 0x96abfbe0, 0x0cfc83a6,
+    0xe96be7a9, 0x9c3b6d5d, 0xdad5e104, 0xbfdfb3e7, 0x43aef3eb, 0xab969813, 0x015bf976, 0x674f1b70,
+    0x7ecc0f99, 0x387e6235, 0x59f38231, 0x04f87dc3, 0x9ac741d4, 0xfefbbe0f, 0x9f3ab5fb, 0x640b8aa8,
+    0xc099c804, 0x9306784c, 0xf6f181f0, 0xc02c821d, 0x0aed730c, 0x71c3a7c3, 0x389b7e77, 0x237d9e07,
+    0xc46f9d0a, 0xa739a4c2, 0x8a956607, 0xb34f7aed, 0xaebef64a, 0x9e4ef988, 0xf381ff16, 0x5cd1f8b4,
+    0xa714f917, 0x54aa05d6, 0xccaa8c6f, 0x07f5fa2c, 0xb3ecfcb1, 0xcc6be2e0, 0x138026fd, 0x625b61b7,
+    0x31a54496, 0xf7582449, 0x7429e563, 0x5b3d5cb4, 0x524662f8, 0x0b60b643, 0x32829877, 0x0ca844f1,
+    0x027fbbcb, 0xdc0aedfb, 0x53c31726, 0xe24fe339, 0x161bbffd, 0x1dd2c2e3, 0x907d7e62, 0xec96671d,
+    0xa07a354f, 0x7a518572, 0xb8bcaac2, 0x0577cc3f, 0x60f54527, 0x8b085126, 0x8607def7, 0xcc3cd239,
+    0x89be1947, 0xbc1b9d1b, 0x8c88be6d, 0xd87e7c66, 0xdf13df63, 0x740886fa, 0x62711e6e, 0xe07539a3,
+    0xaaf24d59, 0x3c8c23f6, 0xa0261d0d, 0xd0747fb6, 0x0f57e03c, 0x401afdfa, 0xb1eb4df7, 0xd020158d,
+    0x7fdf37a5, 0xe41a36c8, 0x82922962, 0xd1aacc67, 0x5d27b50a, 0xfbbd6727, 0xbc5abb11, 0x35a4f789,
+    0x4a5584fb, 0x2af3afce, 0xb81d3018, 0xf5228387, 0xb1c9e31c, 0x6dd914c1, 0x3e117305, 0x54ca37dd,
+    0xeb9dd8fd, 0x2571b9e5, 0x5d0db792, 0x5f2d950f, 0xf4baf0b2, 0xbdf26759, 0xd53b9334, 0x3eca4c4d,
+    0xee99e769, 0xe74624fa, 0x6ca808ff, 0x0ac69b6a, 0x65c7c57e, 0xa3291513, 0xa4ad2ea7, 0xa681142b,
+    0xd5c9316b, 0x9cd4d7ae, 0x6ad9b9e0, 0xa8f99a27, 0x34d48638, 0x61412f69, 0xdd92c12b, 0xadd67bd2,
+    0x4c3b9f97, 0x0650e7ca, 0x75805007, 0xd5d2225b, 0x3ffe0336, 0xc02ce3ad, 0xc8cbddb4, 0x8f18a002,
+    0xfce87926, 0x18b0fa84, 0xba7c564d, 0xb98a6e91, 0x82450ac7, 0xb54d8064, 0x0aaee33e, 0xf4152552,
+    0x03ae112c, 0x37f79d15, 0x88d094e3, 0x406089ba, 0xab9269b5, 0x5b55c7be, 0x40dde54f, 0x19a76eca,
+    0xefd0ee1f, 0x7506be3b, 0x019eb5f0, 0xa1d8bd9c, 0x068d38a6, 0xb8587822, 0x9add2291, 0xdca246a0,
+    0x196f3a09, 0x45383307, 0xb08aa2b4, 0xbb9fc2f7, 0x0e163a4e, 0x09328c91, 0x87d3155b, 0xbbaed1d5,
+    0xea71ac9a, 0xf4c7cdf5, 0x71c4ca18, 0x11f66fd3, 0x756996b0, 0x53a16524, 0x8f2540f0, 0x1c2c144d,
+    0x1f504018, 0xc378dcf0, 0x7c8d61b2, 0xb0c0070e, 0x92e7cfc9, 0xb6530dc3, 0x617fcee1, 0x3b404f0c,
+    0x67cb6a20, 0x9b35c22c, 0x774fd9fa, 0x41777c23, 0x738db637, 0xf1ee754c, 0x385bd660, 0xc9043fe4,
+    0x2124cd36, 0x750a128c, 0x55fb0c5a, 0xf6b32528, 0x10b52dd8, 0xeda793e2, 0x8cade681, 0x7c3248fe,
+    0xeab6f4db, 0x8f70342c, 0x8154218f, 0xd2625f1e, 0x626adbcb, 0x8a1aa154, 0xf797ffc5, 0xeb0c906d,
+    0x29173fb6, 0xbfb215ea, 0xcc713a14, 0xeecd64cb, 0x22e9eff7, 0xe865b17f, 0x4a479899, 0xd8bdfc47,
+    0xd1d401dd, 0x041e9970, 0xf3e33723, 0x42ba71f7, 0x4b29fdab, 0x2af9a405, 0x6d14ce4b, 0x21fccb71,
+    0x0fcbce38, 0xff420a78, 0x4c7f80f9, 0xc32fdaad, 0x021ae4af, 0x5f304aa0, 0xe7fd81d2, 0xaa1dfa2e,
+    0x0cf20adf, 0xfbe58454, 0xe1a8d6ba, 0xfd27f6e9, 0xefa70745, 0xcb7916f3, 0x107b2740, 0xe4269a31,
+    0x6cba4e6d, 0xc699ee8b, 0xcfe9e796, 0xd05b0e9d, 0xbe398ad2, 0xba68d352, 0x135a294e, 0xf130f86a,
+    0x11be5dcb, 0x4fc87e01, 0x318fb997, 0x9d0602bc, 0xb1f82dfc, 0x887f24c3, 0x3ed403c9, 0x266ad8cf,
+    0x448e4359, 0xcd7bc615, 0xa76569e6, 0x498da576, 0x849818e6, 0x5bff3253, 0x0e4da270, 0xcce7a110,
+    0x0126a81b, 0xf197f5b1, 0x511b07b6, 0x4f8b8d3b, 0x8224042f, 0x6935d6e6, 0x46457f72, 0x5aa4622f,
+    0xf9ab1d90, 0xfd52bdb8, 0x41abbe01, 0x220c99b6, 0x1cc1b553, 0x81bd7717, 0x5ce86804, 0x35f68ac6,
+    0x1378feab, 0x4fbe8bec, 0x458c4c40, 0xe314e1df, 0x3a44bd14, 0x9cb8192d, 0xb13a46a9, 0x210d26a7,
+    0xf1cef5e6, 0xcd262869, 0x0606f53b, 0xe77dfd01, 0x0c3c916b, 0xe868b89f, 0xfde281e3, 0xe54da9b2,
+    0x410c5d00, 0xd255081c, 0x4bc28e82, 0x5edb135e, 0xd54bcc9c, 0xe4bad67c, 0x234524c1, 0xab3da50c,
+    0x63fdb3f2, 0x84d09aeb, 0xd1a7b5be, 0xe879b53e, 0xddefbaf3, 0x8261ec8a, 0x403ba4c1, 0xc68de104,
+    0xcbe7ae71, 0x01b32ef2, 0x1f0d034f, 0x1a3f8421, 0x82305f2f, 0xba36c4a5, 0xf7a1e224, 0x670f29b7,
+    0x4b9092b7, 0xe5f95b3a, 0x55e03339, 0xdfb914d2, 0xeb33cefd, 0x8e5a3d10, 0xe19c8a87, 0x8f02548e,
+    0x3503ec5a, 0x63d09db2, 0xbdadc25e, 0x525f4cf3, 0x662b40fc, 0xd80d6fcd, 0xb161ccc6, 0x78708a4c,
+    0x1d980a0d, 0x5dd80191, 0xc4d3e6cf, 0x2de4d417, 0x009e1ecd, 0x3de30bcc, 0xb2b7d7de, 0x2f129e3b,
+    0xeea7fae9, 0x5fc226c8, 0x1d9b2473, 0x2e28a3dd, 0xdf39abf2, 0x08626969, 0x91156855, 0xeaea9d61,
+    0x37ce3086, 0x2a3f5359, 0x5553f9e4, 0x82dfa37f, 0xa3e64339, 0xc8ac0619, 0x9776a7eb, 0x811e5480,
+    0xf7c9f20a, 0x1f07fde8, 0x0f90444b, 0x11ec083d, 0x871ddf95, 0x8966e8bf, 0xd286b274, 0x264e9436,
+    0x7c3d7d3b, 0xa13fe337, 0x356df150, 0x5f998051, 0x74a6d258, 0x555197d0, 0x9fca769b, 0xf9e66ba2,
+    0x383e6766, 0x7482a146, 0x51c14fc7, 0x4df8374d, 0xfde815e5, 0x1b94b2a4, 0xf3bd8042, 0xa92ba60b,
+    0x632cc39d, 0xd8413de6, 0xa82d3a5e, 0x3797e415, 0x78a0635d, 0x92f2c3df, 0x5c34cb91, 0x6410241c,
+    0x50584cee, 0x6483addb, 0xfc47e957, 0x0b1b61e3, 0x11206984, 0xc670baf1, 0x6f6119cb, 0x53d55aac,
+    0x68ee326c, 0xc67e4dce, 0x54059229, 0xfdcab686, 0x7e27033f, 0x2e087dd0, 0x4962b10e, 0x57244bf5,
+    0xd2c8af8f, 0xae9c1959, 0xd1186c26, 0x32854b46, 0x3ea5b143, 0x51201a93, 0x184d7492, 0x528cf3f4,
+    0xac4f6b0a, 0x78a3c271, 0xce5ea707, 0x9bd56374, 0x6331c74b, 0x72e97b40, 0xb39cd872, 0x7993fac7,
+    0xa61f8dbc, 0x8fca1ead, 0xbd3f4b60, 0xff507ffa, 0xdc389fdf, 0xd39ef4df, 0xf8d7e785, 0x19f8fd20,
+    0xad0b3138, 0x3ad885a1, 0x8d55d073, 0x60c69389, 0xb5642f2a, 0x1d20f012, 0xa7106acf, 0x0bf00bf3,
+    0xca223e7f, 0x00ed2a40, 0x06807218, 0xcb72f589, 0x00c4b0ff, 0xc36b9996, 0xb3b5e75b, 0x3d85770e,
+    0xfc7ee92d, 0x65010c5d, 0xa4f8b99b, 0xd82da90e, 0x37b66475, 0x4462bca0, 0x7c33cebe, 0x7192f982,
+    0x38a560c2, 0x10c359ba, 0xaaa8db11, 0x8b9891d4, 0xb1cd03dc, 0xc937a357, 0xe8ee9ee7, 0x170137c8,
+    0xcae9c65d, 0xd5f960b6, 0x626b182d, 0x4b311e3c, 0x7d9fa5b8, 0x3f473266, 0xae2f947e, 0x0263f5f8,
+    0x08afcdbd, 0x82a0afa3, 0x716a07a7, 0x7b5374dd, 0x7b203003, 0xe7111d26, 0x8152de1e, 0x5dd58328,
+    0x20027250, 0x62b0dd44, 0xabcd5f82, 0x89a65be2, 0xc588d802, 0xc05b938c, 0x14d70d6f, 0x64820087,
+    0x67870f9b, 0x129e4ead, 0x430adc3e, 0x3eb7c174, 0xd9210831, 0x00d62b29, 0xda56bfc8, 0x8f158551,
+    0x8b3af52c, 0x927d71e8, 0x3e9af067, 0x7b93f203, 0xfbe78726, 0x008e3470, 0x84ec4694, 0xc839a4b2,
+    0x2ec11df4, 0x2fc72c01, 0x406c7998, 0x93042a35, 0xf890ff3d, 0x6bbd8caa, 0x15c64646, 0x9756d72e,
+    0xa22161ca, 0x7e96472d, 0x473cd958, 0x4d88cd72, 0x21f58649, 0xfdbaae23, 0x85dc85ba, 0x3c3abf09,
+    0x7ffb79f9, 0xd0a92f0d, 0x038b74c3, 0xc5271550, 0x3ed5940f, 0x039113eb, 0x977bcda9, 0xc13a74b4,
+    0xbad29309, 0x6ac9053d, 0x0e349f7b, 0x00cdc886, 0x28ec8dbf, 0x8c5772c5, 0x100e9a38, 0x1052670c,
+    0xe3fba2e4, 0xe486df6e, 0xf921789b, 0x16615112, 0xeec0a4d0, 0x7925fa4c, 0xaaa15f1b, 0xcbc27bd9,
+    0x0cb299bc, 0x6c37a7db, 0xf31a8cee, 0x21ce86d5, 0x407afa85, 0x0d328d96, 0x9177258f, 0xe0a5b3b4,
+    0xab90eb40, 0x6a8d05bf, 0x83bbc5fa, 0x43d4fdaf, 0x636a25c7, 0x2b1e7da5, 0xf51d60b0, 0x57fd0e80,
+    0x78c7f184, 0xea05b52a, 0xf90359f7, 0x07a83f6c, 0xdfe896c0, 0x794b9e99, 0x7e041e38, 0x67d05b69,
+    0xad328b1d, 0x5470e0fc, 0x42a334f0, 0x524e2635, 0x5631edfe, 0xd1a11c5c, 0xd117e1c4, 0xd3009693,
+    0xc330be0b, 0x3e7498fe, 0xe3f0ae68, 0xf510a3a1, 0xb2f1ef60, 0x7af47b7d, 0x2f5c77e7, 0xa92d9d68,
+    0x1f786e39, 0x5aa85ba0, 0x1249497d, 0xea58366b, 0xf1b7dbe9, 0x90578e04, 0x570081e0, 0x87361f9f,
+    0xd2cf1191, 0xaa6238f0, 0x7d2be169, 0x596322f6, 0x6971970b, 0x6b68a847, 0xad90c8f3, 0x67580fb9,
+    0xa9b8d900, 0x9139715b, 0xc2b8da29, 0xc43502e3, 0x6fcf5318, 0xcffd47ff, 0x22f1d59b, 0xf5c003f2,
+    0xb3bf6244, 0x787140ae, 0xe4837f6e, 0xf5d710df, 0x6688c870, 0x9592dee0, 0x73d61bde, 0x7abe1ebb,
+    0x5464bfdb, 0x75fe65ff, 0x317f334f, 0xb873cc6a, 0x0c770cfb, 0xe6629f30, 0x3834a55f, 0x68f222e1,
+    0x5ec714f5, 0x6e081551, 0xc878f553, 0x3532471c, 0x42eb2e52, 0xcaf252f2, 0xce840852, 0x49475faa,
+    0x94758e4b, 0xd33d443b, 0x24f0993c, 0x1d4bc2fb, 0x10076933, 0x774cc93c, 0x6b5ccca6, 0x347a8703,
+    0x21f946e8, 0x9bf662a7, 0xb6abbb7e, 0x31d2cd00, 0x0fe52484, 0xbe35d19c, 0xb4b73b4f, 0x99aca1ab,
+    0x62903920, 0x7d97f6fd, 0x34a985b0, 0x0a877aae, 0xc100b5ec, 0xe2e48edd, 0xe5af3be2, 0x78b63033,
+    0xce9fac26, 0x52fce25a, 0x841f6a26, 0x13882bcb, 0xcb18314c, 0xa048222a, 0x144686a7, 0x21f42b85,
+    0x014918eb, 0xf1291b95, 0x3cc9bef9, 0x9fc685bb, 0x1695d223, 0xf485131e, 0x3b5efbaa, 0xdcc156fb,
+    0x989989b6, 0x782825b1, 0x5edc9598, 0xe1f3b0cd, 0xcb21dd90, 0x0a338aa6, 0xb5afef7c, 0x42dd20f8,
+    0xdaeec6f3, 0x414a39bb, 0x165a3f8a, 0x97e495fb, 0x7a0d5bab, 0xf6f1e453, 0xd9c37d3c, 0xdfe7e805,
+    0x49c66b97, 0xefe55ee9, 0x0a67b93a, 0x0367f04a, 0x0597019e, 0xc335c438, 0xeeaf813a, 0x5f3ebf26,
+    0x93e17416, 0xda035653, 0x3ed3f06d, 0x662714ea, 0xaefd1798, 0x19602d08, 0x2e4e5163, 0xa16b441a,
+    0x96066343, 0x107ca148, 0x35eb3d2b, 0x09eaef91, 0x21748f42, 0x2a3b11f0, 0xa800012b, 0x6e22c790,
+    0x2bea5fcb, 0xc5e92cf7, 0xcb1b92e7, 0x2965d99b, 0x2d194b6e, 0xc1f82414, 0xb498c82d, 0x477c8369,
+    0x81071a84, 0x8e1ca103, 0xd6c96870, 0x2f96d38e, 0xe0bf827c, 0xb797b846, 0x12a2db12, 0x3b914b00,
+    0x09169f14, 0xd8f4a4a1, 0xa5f452af, 0x7970b458, 0xf200bca9, 0xbae0246c, 0xd637ed24, 0x262b5e7d,
+    0xddb4e162, 0xe5819657, 0x5d084c41, 0x22730bcd, 0x14d63dd1, 0x68c24787, 0x7886bb15, 0xf755a011,
+    0x8349366a, 0xc52df7d6, 0x0113a8f3, 0xf592a911, 0xbf5d44ff, 0xcb05d163, 0x9dafdf92, 0xc2cfb376,
+    0x4090dc30, 0x1fa9cb91, 0x030e5666, 0x05094680, 0xdc308316, 0xcacea9ab, 0x766366ae, 0xb1470f22,
+    0x3c60ce66, 0x6f44e7fd, 0x4501e03b, 0xa98ab3c5, 0x9a470afd, 0x067b65db, 0xb49d0e24, 0x932772f6,
+    0x3902ff49, 0xd38f22a4, 0x0ed33456, 0x5c05f912, 0x19f45142, 0x82611b2a, 0xe880117a, 0xe2c7604b,
+    0x26153f70, 0xbe25d65e, 0x4f6cb31b, 0xdb333069, 0x0cc46209, 0x91c19a86, 0xb50fc832, 0xc40de034,
+    0x8b7f2e03, 0x343468b7, 0x1c3735f8, 0x0c10a1d2, 0xb9d70d3f, 0x2b5f6e89, 0x2a665c28, 0x501fe3cd,
+    0x98b0fe70, 0xaa241466, 0x05e32f96, 0x1f208d0a, 0x1f6a6873, 0x8c6ba431, 0x2e3ea899, 0xa02e19b0,
+    0x6b3a0cfb, 0xa62c87b0, 0x467a0945, 0x9cc98966, 0x51a8023a, 0xb09009bb, 0x6ad85f85, 0xfe7832d2,
+    0xf9cc5a67, 0x28f880ff, 0xe2f4c7bc, 0x62cde284, 0x1e1b4b4e, 0x68eea9a9, 0x87330f2a, 0x85b392da,
+    0x4d760c60, 0xb4605691, 0x4ea0bb42, 0x5bccb6fc, 0xcc50f851, 0x133befb2, 0x8a95816e, 0xfa4b8aae,
+    0x6ea76b08, 0x87f192d6, 0x89b96384, 0x6fa01ce3, 0xf18e10dc, 0xf139c718, 0xcad15923, 0xd87d08fe,
+    0x548bf480, 0x87f7297f, 0x3255b9d9, 0x3470e33d, 0x695655ef, 0x2bc0ab23, 0xc8ad6929, 0x6028a46b,
+    0x861dba10, 0xfc9d0fc6, 0xa98697bb, 0x061d52f5, 0x5f7812e4, 0xbfabff6f, 0x2a6e9292, 0x3bd1e0e2,
+    0xcace8387, 0x9b68b780, 0xe2dc4424, 0x763593da, 0xe7acab1f, 0xcdbdfc85, 0xdb96cbf6, 0xac9fdf38,
+    0x510af246, 0xcd47f0bb, 0x43f50acd, 0x42399710, 0x1b57319a, 0x1fbcd32b, 0x3ae223b0, 0x56161499,
+    0x95f6252e, 0x0a15497a, 0x1f1459e4, 0x3d4efa16, 0x109af625, 0x87c3cc80, 0xff44a905, 0x4c580fa9,
+    0x75dea68c, 0xe1037523, 0x4d9e8260, 0xfc08ea7e, 0x3a2c3112, 0x51c27a1e, 0x1827c212, 0xa48b2fbd,
+    0xd4929578, 0x6e3418ec, 0xeeb9d47f, 0x3930d923, 0x3376538f, 0x7917080e, 0x18784770, 0xe6249d03,
+    0xda0dd4fb, 0x9be60010, 0x65b0e4ee, 0x8ea156e7, 0x00af1488, 0x9f7cd18a, 0xcec0092c, 0xa893ae41,
+    0x2692e2c7, 0x77b93452, 0x8a8e4e79, 0x820aef1e, 0x922f9b30, 0xb5bed39b, 0x79861bdf, 0x657f5bb2,
+    0x589d42fa, 0x6322586f, 0x7aeb1dc3, 0xddccd103, 0xcd86102f, 0x2bac4e7a, 0x9d2c1260, 0x37115281,
+    0x0f115a8e, 0x2e93ef89, 0xe24584b9, 0x6c1b740c, 0xa9146e97, 0x64e8b715, 0xb5b8ea59, 0x7dd01676,
+    0xbb948b55, 0xf3f10e34, 0x09102657, 0x1b5e626c, 0x74f5375c, 0x8e1a34ac, 0xec89db1a, 0xd41817ff,
+    0xd0bdab4e, 0x1c3bb425, 0x28bbd3d0, 0xb1ac60e8, 0x4b69a823, 0xdfabebdb, 0xc73ffe86, 0x5a0c8484,
+    0x1a4076cf, 0x899709e5, 0xfa02377d, 0xee92de79, 0x9a3a3062, 0x335a4008, 0xc54c7445, 0xcfbcd441,
+    0x00000000,
+    0x9b5fb698, 0x9257edfe, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000170141183460469231731687303715884105728 */
+  { 0x00000000,
+    0x837ecd49, 0x5cb293a5, 0x0af0b9ba, 0xe49ee8ca, 0xb7bd6976, 0x9e1e0377, 0x7c3c9621, 0x5a20e657,
+    0xfdfdc66a, 0xad1d30d2, 0x81772c3a, 0xcad74cca, 0x0fc1ec87, 0xe4a55a7b, 0xc23867ed, 0x395e9dd5,
+    0xfeb34ccb, 0x43d34e86, 0xeca516f1, 0x6256ac86, 0xa4144641, 0x7aa46678, 0xe900517e, 0x444a9f44,
+    0x5067284f, 0x80369574, 0x86d7d8e5, 0xec9a3364, 0x30937cde, 0x83264a3a, 0xc540dedf, 0xa4adb4cc,
+    0xca2d43ac, 0xafe530e0, 0x84e0324c, 0xef4c1931, 0x28589c44, 0x02477ff1, 0x4dbb91f6, 0x065cf25a,
+    0x4d94fbe6, 0x8a4eb048, 0x207d5af3, 0x00da7adc, 0xf1097a9a, 0x02c78e84, 0xf80cb104, 0x43c224c0,
+    0x3cdfe19d, 0xc1ee89d6, 0xaff28420, 0x2852a903, 0xb4ae9cb5, 0x982b7780, 0x29c39865, 0xb3e1fb34,
+    0x23d8cef8, 0x03925499, 0x7a0c47ba, 0xe4e38579, 0x56529403, 0xf90a70a2, 0xe5d52adb, 0x2bac3494,
+    0x78cce71c, 0xd778af49, 0xa7f3c162, 0xbde0737a, 0x1973c5e3, 0x424c3549, 0x974bceb3, 0x40210ca4,
+    0x9e82f1c1, 0x199ed57e, 0x0a6ad9bc, 0x8359766b, 0x47886905, 0xc32a261e, 0x21b984a0, 0x5d9c180a,
+    0x9ad85586, 0x2da0496f, 0x65d06810, 0x213054eb, 0xb52ae2bd, 0xa3233798, 0x3881ebdc, 0x1f656da4,
+    0xbfd3cc80, 0xf34f5010, 0x410a1f7a, 0xcd3faeef, 0xd75e2162, 0x97de4360, 0x4345f061, 0xaa3fa00c,
+    0x82845341, 0x6520e844, 0x59e9812a, 0x52639a46, 0x5f20e755, 0x49d1d0bb, 0xe9e31fd0, 0x7e552f0c,
+    0xa003bf99, 0x215309c6, 0xe8d38261, 0xc798e13c, 0x37e57d8c, 0x7885c7a1, 0x7cf78ef5, 0x9dcb0bd1,
+    0xd4b91dc7, 0xe393bb94, 0xc3d14c61, 0x49af6968, 0x255c26e2, 0x88400de1, 0x84312a91, 0x30056ba1,
+    0x40ff90b7, 0xfab231cd, 0x8aa913a0, 0x60d8d98f, 0x19171bc4, 0xffe17280, 0xc2722995, 0xd6d2612a,
+    0x70b73617, 0xbd00ce4c, 0x2297fcc3, 0xb245cea8, 0x7f86f903, 0xa5157ecd, 0xe2df6ffc, 0x2f876a1c,
+    0xd460f351, 0x02456199, 0x09970b23, 0x6e18a4d7, 0x47d7b2ed, 0xaa00f163, 0x7027fa5f, 0x44a8cb06,
+    0xca29d276, 0x4bf050d1, 0x236b6f8f, 0xb5208d11, 0xa8d93194, 0x42fdaa96, 0xbe80a902, 0x07d80b33,
+    0x8cc9c197, 0x64bbb7ba, 0xbf58d7ec, 0xe673d107, 0xd9f133f4, 0x7ed488b6, 0x408d40f1, 0x594b236c,
+    0x1665140f, 0xb7648045, 0x73768ae0, 0xd1440628, 0xa66e720f, 0x46f2ce60, 0x9046527c, 0x72e4ed7e,
+    0xa7c2ec7c, 0xf739fd0d, 0x09047e8c, 0x06d9562a, 0xb1bbd0e6, 0x10b9b970, 0xd1343fbe, 0xdce41007,
+    0x335dbb52, 0xa44e3ed2, 0xbf59629a, 0x9b69688c, 0x5424d1e7, 0x6160c069, 0xd84bc75c, 0x5c0a4748,
+    0x98629c98, 0xe27d84ae, 0x3abc36c0, 0x4e93f66b, 0x9fc72a35, 0xde3fac30, 0xef11b115, 0x6847f9f2,
+    0x7e3a35c7, 0x4671d06a, 0xd4eb7336, 0xe611912f, 0xe9d36d93, 0xd010d7b7, 0x4faa5803, 0x2196cefa,
+    0xd33bf301, 0xf7693186, 0x2538b9e2, 0xaf3a1964, 0x068d6bc4, 0x3b82501c, 0xf1e9bdba, 0x3ced822d,
+    0x87ad269b, 0xc5c22846, 0xd884959c, 0x804f1317, 0x131f835f, 0x6a88afbe, 0x80f9660f, 0x31e3ed9a,
+    0x14b2b64e, 0x6665243e, 0x3190f9ce, 0x85037c7d, 0xa40ee37e, 0xe6db64d4, 0xefec122d, 0x12d6e7fb,
+    0xb97e324f, 0xf3638d38, 0x15f87e86, 0xa33d004a, 0x7b7a26d4, 0x2f03f687, 0x98c8d7dd, 0xc9140e85,
+    0x2e423ecd, 0x0dbe2950, 0xaee38596, 0x74996ee1, 0x1ae2db46, 0x7948dbb3, 0x4fb67c06, 0xa511fa34,
+    0x53da7647, 0x9824621f, 0x691bc1d7, 0x9883ca71, 0x8df659c1, 0xc9a3a925, 0x662a2180, 0x3d4da9d1,
+    0x4e83e9b9, 0xd5e8e92a, 0x1ef6d43e, 0xdab541d1, 0xf11aa850, 0x75fc6127, 0xe6cf7ab6, 0xe4620665,
+    0x41fe1efb, 0x3665f86d, 0xefda5ec7, 0x948038d3, 0x6db8c0e7, 0x68763e64, 0x050bea32, 0x1a8ad649,
+    0x4c5eb978, 0x86b85f78, 0x7dff2eca, 0xfc9f328c, 0x0d6d91bb, 0x7d111176, 0x22fca1a7, 0x2ac5bfaa,
+    0xd6bee827, 0x0d7fb620, 0xda5a1b6a, 0x805e287a, 0xd112f697, 0x9ab19a82, 0x2b2182eb, 0xbc79d4c3,
+    0x073aa958, 0xf354b007, 0xa2b879e5, 0xbee9b901, 0xbf04e2ba, 0xe1264107, 0x999a9ee9, 0x8b4cda21,
+    0xcde9a1a8, 0x0434489c, 0x0bce956b, 0xfd529582, 0x76f39c94, 0x38621658, 0xb0d2395d, 0x4ba6050a,
+    0x46d11b04, 0x9bbd2ef8, 0x31411282, 0x25b09076, 0xeccf4446, 0xf88d391b, 0x9fc0e75a, 0xf7d49d6d,
+    0xad9e915d, 0x9f2946e9, 0x482705e0, 0x83919405, 0x577f1b7f, 0x0184f435, 0x53d7fff0, 0x181dd727,
+    0xbdf064ea, 0x388192ec, 0x88274eb3, 0x4d49f500, 0x304a286f, 0x5ca58062, 0xfc74768f, 0x9555959e,
+    0xac2f6606, 0xca146e56, 0x5648bc53, 0xb60ab49f, 0x87eafd91, 0x13a68023, 0x09e21271, 0x07b9151e,
+    0x5701af4b, 0x27cae714, 0xb794b926, 0xfa79c96f, 0x0e3e4046, 0x28b9cfa7, 0xaf7fa54b, 0x5b5cb9f6,
+    0x8d5dfecb, 0xdcc7def2, 0x51d1bda3, 0xb868b06e, 0xc4ffe68f, 0xa1538b9f, 0xb45849e2, 0x1b195ae1,
+    0x8375fefb, 0x57992648, 0x2e3683ba, 0x68572c2d, 0xc3e9a044, 0x5bd36285, 0x8b6de679, 0xb63234ee,
+    0x627bd085, 0xf60b67a2, 0xe46a7925, 0x51d3b56f, 0x7eb88bac, 0x6a4ab871, 0x50c31cc6, 0xfa71d5a6,
+    0xab6f6cd7, 0x0d9ed3c0, 0xe2cfcb78, 0xf9ddb359, 0xc238da35, 0x094174b1, 0xf87086d7, 0x934a3ed9,
+    0x8106d86b, 0x4ea7f9d8, 0x8a2e2dd1, 0xb84bf1f9, 0xca96ecb4, 0xce06e2e7, 0xa39df7ac, 0xaabc6ea5,
+    0x17f40e25, 0xa7ef0339, 0xd788fb40, 0x887df37c, 0x19b2f22c, 0xf4b9f999, 0x0ab3e506, 0xe7c6c1b8,
+    0x6bbca9f9, 0x72f2e9d5, 0x8dd6ee62, 0x54a35b70, 0x122fa894, 0x5f120748, 0x812cd472, 0xb3f390d0,
+    0x3a46d36a, 0x4110287e, 0xb012de3c, 0x6f04b5ba, 0xf45c4986, 0x4983f47a, 0x10f218cc, 0x2ca125b0,
+    0x37847083, 0x045258b6, 0x69a262d2, 0x81794633, 0xc24e75d0, 0x9485b751, 0x4677a859, 0x4a9548ae,
+    0x4e545336, 0x80bf1a21, 0xf038b942, 0x51f30f00, 0x40857979, 0xd0cafead, 0x4786205a, 0x29bc6cac,
+    0xac1b81ca, 0xc40fd91e, 0x044d1e49, 0x5041bb0f, 0x7732b1d1, 0x216c5953, 0xb7322b03, 0x8ea2dc19,
+    0xdbf40ae2, 0x4ffa9601, 0xa3dbf27c, 0x301e3b1d, 0x71f51e2b, 0xd424e714, 0x1894dd79, 0xbbbb2e2f,
+    0x3e8e12a9, 0x40b647fe, 0x7d35f05f, 0x450f05e7, 0x5e669b3e, 0xc3d30f7a, 0xd159f829, 0xf9ebf335,
+    0xcff2c5da, 0x7e33d287, 0xb94b522f, 0xb29f1a96, 0x47e9c173, 0x6b754efa, 0x6f834adf, 0x8806c4d6,
+    0xdc2e2ee6, 0xe21e7390, 0x24355b9e, 0xaa32414f, 0x5144bb02, 0x5822ed0a, 0xa4027fde, 0x631864ef,
+    0xbc4c0463, 0x16126d57, 0xd3f8e2a7, 0x2ae75570, 0x4d299a7c, 0x9647aad3, 0xdc4cba59, 0xc3e10233,
+    0x21d9e6fd, 0x9efc8dc4, 0xe31d276b, 0x82bde260, 0x56116608, 0xa63dfbe5, 0x8b78a069, 0x9808b5a4,
+    0x94c7ec97, 0xa0f0ee65, 0xd58601fe, 0xd3734bef, 0x317d0994, 0x7db9c544, 0xa09b44f1, 0xc45101e1,
+    0xf1dc32c0, 0x934db799, 0x08bf8cc1, 0x9e252106, 0xda39ddd6, 0x19c7f077, 0x4c5bc999, 0x2dc64fb2,
+    0x114d37a4, 0x9a7dd5e8, 0x81d5fa04, 0x4de8eee1, 0xc65c298a, 0xddfa14f1, 0x66e753d8, 0x00cbacb3,
+    0x5e872fa3, 0x02ac0885, 0x5bcaa7a3, 0x0050e2c4, 0x31a42522, 0xc021924c, 0xf6475ea8, 0x4913c4b1,
+    0x21cf8b4f, 0xc40048b7, 0x0e06b388, 0x0f36d060, 0x4611ea0e, 0xbce23e05, 0x31ef3ef4, 0xd31245ae,
+    0x59660133, 0x3e062d11, 0x8dda1810, 0xcfe061ba, 0xf0ec729e, 0xac06d387, 0xe2828a0f, 0x399e5e96,
+    0xa1ee8f27, 0xa23196e9, 0x905ca937, 0xa81d471a, 0x497646f1, 0xc24ce129, 0x0b973ebd, 0xf9cc2b54,
+    0x005618e3, 0xf50cc5c3, 0x28096e1c, 0x404860db, 0x3e49edca, 0x41dc674e, 0x4b026645, 0xe3a46222,
+    0x99a288de, 0xacf745ff, 0xaed0fb55, 0x6434f2d9, 0x4b6f69d4, 0x5ce27af2, 0xea0dcaaa, 0x815e1f36,
+    0xa40deda7, 0xc72812c6, 0xd927dc62, 0x42050e85, 0xd8f7c3ac, 0xf82b40ce, 0x3c3cae37, 0x242ed5a5,
+    0x00f0f1bf, 0xfbf7b6c8, 0xdaf30abc, 0x8501b1a9, 0xdf400741, 0x7d4a1923, 0x7dcc4f96, 0x56074bb2,
+    0xf1b099ff, 0x93cb1a22, 0xaa5c47e9, 0x4168feef, 0x85c4863a, 0x388dee4d, 0x3007aa4f, 0x2ae654c9,
+    0x3bf819a1, 0x9ad0473e, 0xa6ae8209, 0xd162a4c0, 0xa63c986f, 0xbf5d2ac4, 0x6e080f4f, 0x0d96b810,
+    0x3de63bcb, 0xf0f6f679, 0xc312bb78, 0x36884678, 0xd5c01d98, 0x9bb8a81e, 0x461ead51, 0x3583f4cc,
+    0xd847f4f0, 0x1beaa2e1, 0xe1ca0f4e, 0x33af6b00, 0xff8f630c, 0x81d5db36, 0x8e8472ac, 0x1c7294a4,
+    0x19dabf1a, 0x6cacbdb7, 0x71e48eb8, 0x38b41edd, 0xa5c48bc9, 0x23601fde, 0xc91d4de7, 0x03c8b298,
+    0x293f1b2a, 0xb2513a11, 0x5642d432, 0xbc148ccb, 0xb6353168, 0xe4013b50, 0xc4f4c388, 0x20f5a50b,
+    0xba470fbb, 0xe117de46, 0xd472ac17, 0x3d39d315, 0xbfc50500, 0x30256b88, 0x132fd812, 0xa39a384a,
+    0x8b186d6f, 0x220b37fc, 0x239f1904, 0xaba58baa, 0x57d5bfff, 0x70152a91, 0x87a74825, 0x5e9e032d,
+    0x8322920e, 0xd69ed14f, 0x373726e1, 0xf3fb04a7, 0xd33ae12c, 0x70c2fa51, 0x113f8af1, 0xff47b3f6,
+    0x79136b7f, 0x2b0bd2b0, 0x8b025acc, 0x74c8566d, 0xd88ee494, 0x0b23d112, 0x37a34fcf, 0x6d106015,
+    0x67f8d40e, 0x3e17f1ac, 0xa33a1af1, 0x950575f7, 0x76b6d353, 0x27fe304b, 0x83fec999, 0xe9706337,
+    0xf5a96120, 0x5d9130b1, 0x156433c6, 0x4fbdbc3b, 0x6dbc6362, 0x897b15a4, 0xffa87f38, 0x76ea2d32,
+    0x4e744eba, 0xc6b67502, 0xb317b162, 0xfcffbf7f, 0x764eeef4, 0x50e92310, 0xd7364994, 0x33963cb6,
+    0xa8911d19, 0x69c41baf, 0x725be487, 0x08d6613b, 0x7658d582, 0x9450c47c, 0x5cf6de3a, 0x08c6d15b,
+    0x63fcfab3, 0x63613de5, 0xf1384221, 0xe84f4d5a, 0x13d1a409, 0x97f2f8c2, 0x7bffa9b1, 0x62655b74,
+    0x6a8a5aa8, 0xe601468c, 0x7e0d95ea, 0x017f540f, 0x53fee992, 0x3dcb70ae, 0x385dc29c, 0xc704b4ad,
+    0x25be45ff, 0x17fcd9b2, 0x5ef128ce, 0x2410399b, 0x29c42d67, 0xd62509c9, 0x1f011f9c, 0xd1f5c1c3,
+    0x4dbe57bc, 0x23d37aa0, 0xfcd42290, 0x97d8781a, 0x71140c8b, 0x5e2d5e6a, 0x3020d096, 0x46ec27da,
+    0xb5c3bc23, 0xcb20585f, 0xd805f279, 0x9d01fe35, 0x7b556429, 0xec036ea1, 0x5cb25467, 0x16df256c,
+    0x5ef42217, 0xb10ad3fa, 0x6501138b, 0x3f3ca12e, 0x7cce0ba6, 0x6f75d018, 0x3515caf8, 0x65e929a8,
+    0x319b63fa, 0x4c4344b6, 0x44a1c71c, 0x20a31c82, 0x4d5f0f48, 0x33afdc74, 0x20922e79, 0xbb625673,
+    0x0b115118, 0x78b02833, 0xd89474f0, 0x31657988, 0x20ecc060, 0x0e9c36db, 0xf998f23d, 0x279a91b2,
+    0xf6c3dd5b, 0x5053b0f5, 0x347f28b2, 0xc156f794, 0xa08f7b2d, 0x879f1aec, 0xff98ec80, 0xc8feecb9,
+    0xc3e65048, 0xcabd44e6, 0x2b3afb34, 0xd9ecb13d, 0x03d50172, 0x20500310, 0x9fd7a5d7, 0x0047a982,
+    0xefa0fff7, 0x85c2ebb2, 0x1f530d96, 0x7f0553d2, 0xb327d4d5, 0x0cbd8cc1, 0x724c3d81, 0x7a3569cb,
+    0x2642d5f6, 0x1f472170, 0x147f6d2f, 0x426d3460, 0xd2b9b8f8, 0x0e7d6e90, 0x411a1e1e, 0xd6ac314b,
+    0x7286599e, 0x80b581f0, 0xe1752931, 0x8fd9a6e8, 0xf29acc59, 0x2c1e1bb6, 0xfed94012, 0x873c67e2,
+    0xa00af397, 0x8070530b, 0x8d5001ca, 0x2b25ba1e, 0xea67da49, 0x90060894, 0xe5affa4b, 0x208d276d,
+    0x7d4ee4e5, 0xff9288c5, 0x226637e9, 0x43a69050, 0x9b39eaf3, 0xdca0784a, 0x52084697, 0x9b06ecd1,
+    0x3bc3ff83, 0xb2ef0a5c, 0xa5bc4eb9, 0x515a8669, 0x87033055, 0x51abf25e, 0xa550955f, 0xbdcb7ed1,
+    0x1736956b, 0xbbb75c07, 0xf61d4787, 0x4cce59ac, 0xbf15119c, 0x4cd87089, 0xa8226329, 0x2bd4c94a,
+    0xb7489fe7, 0x6c95a1c5, 0xc5dfdd62, 0x379d3b35, 0x90a790b0, 0xdd4d0961, 0x0b1d9245, 0xdeecfb87,
+    0xe058c14d, 0x8f1918e6, 0xa814b8ee, 0x9b41bfbd, 0x57e29f21, 0x5e9065b2, 0xbbf86e1a, 0x0c82d26e,
+    0x07d9116b, 0x8084defd, 0x4d49c9f3, 0xcb95a16f, 0x9e04b8fd, 0x7405b3c3, 0xeec52a3a, 0x405f609b,
+    0x0c033870, 0xcd735755, 0x180a658a, 0xa91909ed, 0x305ccd36, 0x963675b0, 0xf98af0c6, 0x8da42702,
+    0x551f3e81, 0xfb8885ef, 0xdf166513, 0xfa9b83c9, 0x78272729, 0xfe015fc5, 0x077e9f8f, 0x78382ae0,
+    0x74ac3ed7, 0xfbd495dd, 0x5509393c, 0x96ba617f, 0x0407505d, 0x72a9b8e4, 0x2ad81da2, 0xd85b4416,
+    0xb80a271b, 0x9383de2c, 0xef92fc72, 0x51a7ab1d, 0xc2e74e3a, 0x36a0b6e0, 0xaa44c432, 0x146e5473,
+    0xa6dd11d2, 0x9efdcd08, 0xfd286e6a, 0x06809306, 0x7c49f77d, 0xf62c2dc6, 0x6b57f50a, 0x7582adb6,
+    0x7bf49ef4, 0x2d016e3c, 0xd05ecaf8, 0x7658bc01, 0x626f03a7, 0xa07f47a4, 0x55b835c9, 0x8d3ecc88,
+    0x66b2ee70, 0xcab77843, 0xeb2b5511, 0x1959dc0e, 0xe64e8fef, 0xfc2cb47d, 0x2e953e8f, 0x92399675,
+    0x1a32213e, 0x11c4436f, 0x47609f79, 0x8a686f12, 0x70b94359, 0x5c78229b, 0x38cffc67, 0x546aed37,
+    0x6b5cae17, 0xb919f5e5, 0xf855f8d2, 0xead1d56c, 0x1d314ab1, 0x5d080ad2, 0x77b64a86, 0x30c864b8,
+    0xd099239c, 0xf5724d99, 0x828a6f04, 0x24a8060e, 0xb82a5cb3, 0x79a634fe, 0x695c5273, 0x493c3c0c,
+    0x5bffb97f, 0x76d3a3bb, 0xcf0389c9, 0xa1c628ab, 0x6c6055d6, 0x678a0f7d, 0x5ecab784, 0x514db559,
+    0xe1b5646b, 0xdbf35606, 0x79f67cbd, 0x49c89df2, 0x76c5b2c3, 0x42ea24cd, 0x1f06460a, 0xc3bc6443,
+    0xaf22f2d0, 0xc1d7d5c2, 0x811166c1, 0x265944f7, 0xec52cee9, 0x4d68f7a3, 0x6ac23a2b, 0x9cef402c,
+    0xfe334333, 0xbacb3801, 0x3143b6d7, 0x3b043d91, 0x50529f89, 0x0a48908d, 0xcbb70f12, 0x1e8115f2,
+    0x8c7536aa, 0x27b7e2b4, 0x927f3d34, 0x31291d1e, 0x1a858704, 0x7c0aeaa6, 0x2e2e1349, 0x2dc97ce9,
+    0x709ff729, 0x82d284fb, 0x2c9c7447, 0x7325d16a, 0x1c211219, 0xd5a1edc9, 0xfb413d3e, 0x19d1e5ee,
+    0xee025602, 0x0e4908eb, 0xa5308af5, 0xaa3c3704, 0x558aa82c, 0x533db1e3, 0x628703c5, 0x855c03c7,
+    0x0e62b8c7, 0x12b2ceca, 0xc703f1da, 0xe9783839, 0x1033453c, 0xd6514596, 0x8d459467, 0x40986975,
+    0x70f9aa01, 0x75a8ad75, 0x26a32c4b, 0xfe736c60, 0x8ad3cc4b, 0x9fb997ec, 0x3bf39735, 0x68b82edc,
+    0xeced1dfb, 0xac597d55, 0xeacc378a, 0x40253194, 0x37795f02, 0xcd5e01ce, 0x2693cd2e, 0x23485c40,
+    0x33910878, 0x2d82e2de, 0x0fe10a2e, 0x8020290e, 0xaf7b11de, 0xd9594512, 0x00a74efd, 0xbf483b93,
+    0x00b431f9, 0xf8cb9927, 0x0308cc3c, 0x58b1bf45, 0x7f6b38f9, 0x39cd3824, 0x10f386e5, 0xe69c14a5,
+    0x00000000,
+    0x4dafdb4b, 0x492bf6ff, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000085070591730234615865843651857942052864 */
+  { 0x00000000,
+    0xca8e4a89, 0xefba31da, 0x45691642, 0xae2f8f8c, 0x534ba813, 0xbcc3de7d, 0xdbc889a0, 0x9d4dbaa3,
+    0xc0c443bc, 0xa80906a4, 0x377e8cd6, 0x620332cf, 0x1dc68d32, 0x2fcfc02b, 0x4a9ca6a0, 0x47cc04df,
+    0xac9635be, 0x8279cf24, 0x17b51b46, 0x0657834a, 0xeab48543, 0xdb858b7d, 0xb390f655, 0x66f8c507,
+    0x16b5f767, 0xce2c9314, 0xa4ec58fc, 0x95fea119, 0x15a82551, 0xa7e8db13, 0xbbc0bc9a, 0x7dd17a62,
+    0x57d30af4, 0xfe64102d, 0x83c75186, 0xc3bc996c, 0x51971a45, 0x901fc15a, 0xd896dc2c, 0x0cb660d3,
+    0x500f3d3d, 0x90391a6e, 0xe17a7475, 0xa69b6f67, 0x9726ce10, 0xf0937b4d, 0xd13a69ce, 0xf47b6faa,
+    0xf7353f04, 0x173dc9c3, 0xe746c8e1, 0xc277fc6a, 0x7307c5e6, 0x7f7b42c5, 0xa012eee4, 0x1958eb4d,
+    0x6bf7f065, 0xd1d74857, 0xedf8a63e, 0xa1cec67b, 0x08771e2f, 0x248db535, 0xe4927694, 0xe61587de,
+    0x9ae1c20a, 0xa9ed899a, 0x9ce7b28c, 0xe81b2e16, 0x707302f8, 0x1e044963, 0x5d269ae0, 0x67b8a40e,
+    0xf2747876, 0x576d3a61, 0x616bd10d, 0x0995991b, 0xc72c1c53, 0x0c836158, 0x992b7035, 0xfbd8e41e,
+    0xc07c17ee, 0x0496c5c0, 0xab963b86, 0xaf6ffc69, 0x7eb537b0, 0x4c8c1398, 0xd1c84a9a, 0xaa23c602,
+    0xf619e4cc, 0x70414c2c, 0xcbf5400a, 0x1c9b9af5, 0xa15579c5, 0x92ac3535, 0x00328466, 0x9a873926,
+    0xaa7f6cde, 0x73817c2e, 0x8dc472bd, 0xd151316b, 0x909a238e, 0x9b0ee9e4, 0x2618edb4, 0x73d1d5a0,
+    0xeffb7af2, 0xaaa176f0, 0x4902b1fc, 0xe9b50091, 0x6739f268, 0x586b4fbd, 0x41858e4f, 0x59e7b556,
+    0xe375be6d, 0x83b45981, 0xb9dd53b9, 0xe3fa1b9e, 0xec4f0f7a, 0x1a70d69c, 0xcc623d69, 0xa766d31b,
+    0x27c0b200, 0x2184dead, 0x347e1dac, 0x50dce922, 0x93fc65c8, 0xc76ac590, 0x1ecd860d, 0x14c9b4b5,
+    0x96fa8c2a, 0x31c372a9, 0x32584f11, 0x3513f53e, 0x78e3ba32, 0x931d7ed3, 0xa8fcf198, 0x5c4f5be5,
+    0xd34b898b, 0x4cc451a4, 0xbdb89d62, 0xfdcb4e4f, 0x81c0b7c8, 0x23f3858b, 0xe36ea143, 0xb404fa78,
+    0xfe9b5e9b, 0x62140141, 0x74323e4f, 0xf8355944, 0xc090c4b6, 0x6fe569fb, 0x19817639, 0x0280b8f5,
+    0xa28a1a98, 0xade9daee, 0x888f446e, 0xd12eb6dc, 0xf7642746, 0xf3c1d325, 0x513aa172, 0x40716aac,
+    0x1c64a4d6, 0x47d72531, 0xd6fb6883, 0xf6dcd270, 0x31ff4fb0, 0x9c2057d1, 0x311a7077, 0xb83f43d6,
+    0x8827a9b2, 0x76effd77, 0x14c26db1, 0x03fbb32f, 0x93cb38e6, 0x2bd0534b, 0xb571814a, 0x5886f883,
+    0xdf3bba74, 0x27f8e67e, 0x399d3e02, 0x0b7f38c1, 0x4a049c6c, 0xf2544047, 0x4ebf7121, 0xc84de97e,
+    0x6c779682, 0x6e4f7a21, 0xc4a537c6, 0xf8e986b4, 0x0cfae311, 0xba8f91e5, 0x61bf0376, 0xe45bcd14,
+    0xd7456e3b, 0xf124bcca, 0xadede27e, 0x12fa0274, 0x1e0f53eb, 0xc92f9f16, 0x6ec26da7, 0x55b47f75,
+    0x79e1166f, 0x2330d808, 0x40af1094, 0x307e8c29, 0x953e55b2, 0xa874b010, 0x8b99448f, 0xddb14e38,
+    0x86b36428, 0x44305a5b, 0xf033b4aa, 0x9f0f623a, 0xf3bc5074, 0x9a9a2ecd, 0x151c8bfc, 0x08aa4afb,
+    0xef29d664, 0x8395f69b, 0x86467b17, 0xff5e651a, 0x9fe401b1, 0x197b7596, 0x6316ad57, 0x4848fd70,
+    0x8dbec302, 0x540f3f3a, 0x97167b9d, 0x8103cb05, 0xa8679b1b, 0x5a6dd61e, 0xbe8804f6, 0xb8b74b1b,
+    0x16a15bb9, 0x6ac7779e, 0x3d9000da, 0x9bc78959, 0x293b6456, 0x62cf537b, 0x4933a225, 0x03870b46,
+    0x714fb506, 0xf86083f2, 0xaff6e848, 0xcb7be639, 0x57104fb3, 0x2cf8c4af, 0x5713b4b1, 0x703a1c16,
+    0x527de890, 0xf13cb4e4, 0x47692837, 0xb7b2b403, 0xd5dae86c, 0x4dd73946, 0x991645f7, 0xb91ab8b1,
+    0x0bccae19, 0xc32f2b4b, 0x98455c8d, 0x2b1306cd, 0x14b51e0e, 0x48c0ec5a, 0xf9b0dd12, 0x9c02ab7e,
+    0x105efab9, 0xc3dab848, 0x6e97ac3f, 0x1281afe3, 0xe0dfa5e7, 0x7cc0538e, 0xdeed6983, 0x6698e00b,
+    0x380ad232, 0x421a707d, 0x50e22d41, 0x4b4aafb7, 0x3a0112ea, 0x169860dc, 0x1c430a1a, 0xb7b7a45e,
+    0x81bf27ec, 0x070c1e31, 0xb89fbb28, 0x67c24441, 0xd9a5f34c, 0xb691141e, 0xc53193c4, 0x9386b67e,
+    0xf2bb87fd, 0x426dcb5b, 0x0bbc11e6, 0x98012ed9, 0x818f7414, 0x83ddea39, 0xa4488daf, 0x2185aa11,
+    0x529772ba, 0xbbbbfbfb, 0xdf337fc0, 0x26f7f164, 0xee678b86, 0x635ca2bc, 0xc76044a9, 0xa30a3dfb,
+    0x8a1afb2e, 0x6009f64b, 0x150acbd8, 0xed7105c2, 0xad5826b8, 0x16c71592, 0xe72297bf, 0xdb13ac1c,
+    0x1a910412, 0xd7a5addb, 0xc4332c5c, 0x6ee451c9, 0x5db0a7ab, 0x2bf4cb89, 0xb386b893, 0x2242d032,
+    0x4c6a424e, 0x6a52ed0f, 0x76329b1a, 0x186791b1, 0xb9890125, 0xb40835cc, 0x353fb827, 0x8ba860fa,
+    0xb5c2a099, 0x0cb6ac3e, 0xf3a4c278, 0xeb2e8a38, 0x9a8e8dde, 0x94b48df4, 0xce6c56c4, 0xfe4f3d17,
+    0x61aac3c7, 0x6aba906b, 0x5c487440, 0x60e98c7f, 0xe644e31e, 0x8e79fc61, 0x5b4949f4, 0xd28e5e0d,
+    0x7c310305, 0x0291f8a6, 0x2265b84a, 0x1284adb1, 0x8c85ac3d, 0x77a22c94, 0xe17681c1, 0xc5e66a73,
+    0x91d8ef4b, 0x05580dff, 0xbace66d6, 0x6df09667, 0x00a8ca7b, 0x7b4b3336, 0xb1e161c3, 0xc6b58a67,
+    0xb0224c91, 0x389ebdd2, 0xd2243baa, 0x9dfd3190, 0x901815d2, 0x696bdbf4, 0xbe4283f6, 0x29c1766a,
+    0x7ae699f4, 0xd61a3aee, 0xd5e8657b, 0xc48ccf3a, 0x5fbb1fb7, 0xae8e06f4, 0xd2df625e, 0x1dac3a74,
+    0x58f7b91a, 0x88205372, 0x964a3703, 0x4ea82d96, 0xa2413eb4, 0x3f8280bd, 0xb3f1ab88, 0xd952639f,
+    0x5cacc7de, 0x8a25163d, 0x7bc6829f, 0x0b75a31a, 0x5328e245, 0x408fe871, 0x2f8e4d9d, 0xd25d0c86,
+    0xe95e9063, 0x2d842e2a, 0xb7db19bc, 0x1046b67b, 0xd659cfce, 0x4164ae41, 0x47d7eca7, 0xec4911f4,
+    0x163f52e6, 0xdf8e8b04, 0x6367d299, 0xdc54f8a6, 0xd2459a2f, 0xdc6ec6e1, 0x476dd272, 0x841a667a,
+    0x369ea913, 0x29b09bfc, 0x51b6bec8, 0xc08d32f4, 0xa2674768, 0x7ab9df28, 0x39195e0c, 0xa7d2ce7b,
+    0x1b68fc2e, 0xe9f44c0a, 0x4d020206, 0xda2d1477, 0x426ea5f5, 0x2a47ca38, 0x243467b9, 0x968577b6,
+    0x8c495e65, 0x47b0b398, 0xf9c05787, 0x8442eddd, 0x72e2cff6, 0xc33a1312, 0xb3f70b8a, 0x4db6fea6,
+    0x7d83bd17, 0x1e597972, 0x4490c7dc, 0x7ff8e85c, 0x1393a9e3, 0x6d6b3354, 0x2f14d620, 0x277ce461,
+    0xfea971cf, 0x49fe608b, 0xb2e37541, 0x817fd931, 0x55ee1a29, 0x150275e8, 0x4e78b9eb, 0x3669d17b,
+    0x5dbafbb1, 0xfb5dc226, 0x7615c096, 0xc9c59999, 0x35209f20, 0x375405e3, 0x37944282, 0xe9e38a81,
+    0x988a4662, 0x37b847b2, 0x1349aacf, 0xc3674276, 0x755980da, 0xa68912c9, 0xc0ecadfc, 0xd6f39e37,
+    0xc6c87089, 0x02f7af1e, 0xb7959c1a, 0x5cdb5ed0, 0xd41faea4, 0x53c80f42, 0x7f95f45a, 0x21fba1b4,
+    0xd2f77f7d, 0xdb1974a4, 0xc5220d1f, 0x679b0d85, 0xca6ddbdd, 0x91d969a5, 0x7c42846f, 0xa9b7736b,
+    0xc789a79e, 0x9bcdce5a, 0xae5d0094, 0x0be77756, 0x3773c7b6, 0x7be0b480, 0x4193592a, 0x0b4d8d9d,
+    0xe52e27c0, 0xbaa1d1e9, 0xd10fcc10, 0x2e89de15, 0xfda38626, 0x8453d261, 0xf9cfdcd9, 0xa531561e,
+    0x7cc0cc99, 0xde856f4d, 0x66de6ea5, 0x803b6aa2, 0x63aeb2b8, 0xa84c8697, 0xfe4e40ba, 0x633f3938,
+    0x1869d9f5, 0x62686d58, 0x147688d6, 0xc1b92c8f, 0xe40a7f17, 0x0493e6e2, 0xbec5905c, 0x187244cc,
+    0x32895395, 0xb51ea23c, 0x96c59cc8, 0x04a12a5e, 0x36aeea94, 0x50ee4500, 0xdb0a9f49, 0x53fb01dd,
+    0xa23a4fa8, 0xb8880218, 0xf10fad22, 0x29d5ca06, 0xf8b8379e, 0xf94eb60f, 0x8e73aee3, 0x042a2d07,
+    0x4f4bc4e7, 0x82f89b84, 0xc3aa54c0, 0x4fef3b72, 0x9886c32e, 0xf853c1de, 0x44589efb, 0x57377c0c,
+    0x650fdbc4, 0xe28eac88, 0x3963af22, 0xeb7875a6, 0x20aabd52, 0xd721c402, 0x437d1fa7, 0x14d8e1bf,
+    0x5c3632ea, 0xb1c58fac, 0xd391ad42, 0x5f323e16, 0xc58c48cb, 0xafa25e05, 0x52a3bee7, 0xc9abcf6b,
+    0x400a99a9, 0xa288d3b2, 0x632578d7, 0xdf6594d0, 0x336260fb, 0x822e47a7, 0xfd97b9d1, 0x1a96e637,
+    0x210cdcfc, 0x10052a72, 0xdacaec8a, 0x8ca033eb, 0xe5cafb7a, 0x0490bc2d, 0x9cb7ef9d, 0x74c08b13,
+    0x26d394da, 0x47d1cb31, 0x07cdd4f8, 0x2b7afdb5, 0x4d1213a2, 0x3ec03523, 0x35978c0c, 0xb4321754,
+    0x3a38b6fb, 0x942fea21, 0xb6fd0752, 0x024f0abd, 0xd1b46245, 0xc189c858, 0x29187dae, 0x045e1b40,
+    0x8e5155c1, 0x64f35ef3, 0xeff3e7b9, 0xe242d0ee, 0x84167d49, 0xd09a1086, 0xbf6d428f, 0xd47bd04a,
+    0xc9653659, 0x3d298d63, 0x14a67ed4, 0x92b4f7fb, 0x118b2908, 0x8507df15, 0x37e37136, 0xb522e9df,
+    0xe3dd4ef7, 0xf4406a26, 0x0fcedc57, 0x7982de1b, 0x10f9170d, 0x6550fa6b, 0x5fbb3260, 0x7fa73895,
+    0xf52ba3e9, 0xcfa6d80e, 0xb5a79bc4, 0x6cb2e06a, 0xb23973c4, 0x61ed20be, 0xbfca93c7, 0xa65c328a,
+    0x3d7aa3cb, 0x5f18a785, 0x653a677e, 0x9c149ddb, 0x3219d899, 0x2948677e, 0x2b922f21, 0xca489335,
+    0x2839f720, 0x65d75c43, 0x27405733, 0x912717de, 0x464d45e3, 0x0b5b35d7, 0x4d247ea4, 0x1474dcba,
+    0x751ebcb7, 0xf5c7bb1d, 0x01d69a48, 0xab8e789b, 0x6f644a6f, 0x9ea71910, 0xf2134c21, 0xa50da46b,
+    0x967017c1, 0xb2d0e75f, 0x81272c5a, 0xef708263, 0xe6e9e37f, 0x133b7b09, 0x0ef11731, 0x9258983d,
+    0x428d82b7, 0xad2bd349, 0xe605d2d1, 0x5ac83f42, 0x1c8cb16f, 0x29d48a1e, 0x89e05ea3, 0xbe3ae1c3,
+    0xa14d9255, 0x99957dc8, 0x35945c0e, 0xb7a2a6cb, 0xb857f17f, 0x4f631735, 0x49fcc95a, 0xc3cd9fb6,
+    0xa8adb4b6, 0x595e9d16, 0x1d55e2f0, 0xef139c54, 0xb1369f15, 0x63eff52c, 0x0387385b, 0x5688777d,
+    0x2cf1ba39, 0x745c32d7, 0xf71fd9e6, 0xa0a219ca, 0x0502e5ac, 0x07d5442c, 0x725f2f6e, 0x5be48cb0,
+    0xc475e767, 0x5e486f68, 0x627c9dcf, 0x8eb29fe9, 0x0e0a6eea, 0x54d0423c, 0x494ad53a, 0x0d7bb1d5,
+    0x2d60b435, 0xb0a898d7, 0xdbfce48f, 0xe44da05c, 0x795d9d47, 0x62f0fc38, 0x93737530, 0x76f9ec3e,
+    0x33b83edc, 0x96a67b3e, 0xd6b326c7, 0xf198b88c, 0x95acdf68, 0x4245af49, 0xc91976b5, 0xd49c7cc1,
+    0x33f7e8ee, 0xf30ce128, 0x99bf1a01, 0xe78c472a, 0xe3abf74b, 0x68738ad4, 0x6e3adda3, 0x1f49f405,
+    0xfd5eaaeb, 0x14819647, 0x5abb0077, 0x392bade4, 0x688ab7fa, 0x78f01135, 0xd89d6fa8, 0xb92d8cad,
+    0xd2ce63df, 0x77c9c4af, 0x64862f90, 0x29e6efc3, 0xe332e774, 0x88cfa6a0, 0xcef9913f, 0xf015a5c5,
+    0xeeb13e6b, 0xfaee2936, 0x62edc0ad, 0x285a8ceb, 0xa0dbac36, 0xca21de53, 0xc5a9e210, 0xbbbc4644,
+    0x4b3f7200, 0x100f6abb, 0x5c29bfe5, 0x7b6e1ad5, 0x98711174, 0x92fd2e26, 0xf8ed6018, 0xd980ae35,
+    0xce7aea79, 0xf9031bf2, 0x578cba9a, 0xab4f3dbd, 0x16fb8bc7, 0x715f0466, 0x7f7c9374, 0xda30d77c,
+    0xc8db6231, 0xca84b753, 0xcc1afdc0, 0x0f7c37a4, 0xab45cf35, 0xd4d84c00, 0xa6be71a2, 0xb7ea8fcc,
+    0x0eb436c7, 0xd457c5bc, 0x45be378b, 0x23edca59, 0x1e1f61d7, 0x6d0c666b, 0x6296ed4b, 0x6e8108fe,
+    0xcaace951, 0x32585184, 0x544f3a57, 0xc0d134d8, 0xe96fd8e4, 0xde7e7c0a, 0x5fad72e8, 0xe641b38f,
+    0x018d00c5, 0x7364dc57, 0x36381041, 0xa8ca9ca4, 0x6ccc0e33, 0x5b1f7349, 0x349c29a8, 0xd2eacca2,
+    0x8dbd8aca, 0x0f63aad1, 0xbe4a83a7, 0x6014a001, 0x99367010, 0xffa3d4c7, 0xe1f4ad1d, 0x3a5fe27f,
+    0xa71b532a, 0x3e0f0daa, 0xb09c6547, 0x9b3f85eb, 0x98fe8b5f, 0x08771276, 0x32fd5d99, 0x3dfa5b38,
+    0x8983f092, 0x8ba495b0, 0xd815a76e, 0x8e29f3d5, 0x0d5d2cde, 0x664bc54a, 0xfaa0c05f, 0xde763c58,
+    0xbd65b7b0, 0xdb999075, 0x7b81adaa, 0x482011e4, 0xa46b4851, 0x109d887c, 0x82dc5111, 0xdfd94d80,
+    0xb1c3666c, 0x405a62f1, 0xecc6e299, 0xb6e4804e, 0xe0bc56ae, 0x3c57eac2, 0x32a2d1d4, 0x2a3de798,
+    0x15484378, 0xfcdf3d2a, 0x6120e01a, 0x85504ac6, 0x86fccd89, 0x318dc80d, 0x96986a73, 0x66e5f9a5,
+    0xebbed593, 0xe3aa2424, 0x1abfb693, 0x0422d9ea, 0x05acbe41, 0x8ba973ef, 0x4fba5601, 0x006d1a7a,
+    0x8b0ded8e, 0x5ad83117, 0x210e71ce, 0x395ca55a, 0xb6ea3797, 0x74dccedd, 0x6f8b6e6f, 0x1566496b,
+    0x0d6756c5, 0x300832bd, 0x7701e581, 0xd2d77f82, 0xdd8b13ae, 0x0145f2b9, 0x3c611f7b, 0xe278df8d,
+    0x39ebeb2a, 0x69326825, 0x1f6fffdc, 0x71a1779d, 0xf8beb969, 0xd566e1b7, 0xc40ed734, 0xb440d76c,
+    0x3e39e485, 0xae4e7209, 0xb489ac12, 0x26d12101, 0x5cf756d3, 0xe97bfce2, 0xc5c44d49, 0xc1b214e2,
+    0x5604e1b4, 0x715909ea, 0xc2400662, 0xc1cb0e65, 0xbd94bc49, 0x5287116d, 0x8e07e3be, 0x44197d93,
+    0xc8b82432, 0x5a96325f, 0x450fdea0, 0xdeba1086, 0x16b4001f, 0xf615ba03, 0xd8aeb89e, 0xce6b25c6,
+    0x7d44ba0e, 0xe9e1ee4a, 0x1b8b24cb, 0xae899324, 0xd9a2761d, 0x29bfa145, 0x505a6a75, 0x0beb03e2,
+    0xffed4be1, 0xb30c5966, 0x67fd6b1a, 0x10285a15, 0x2f951db9, 0x6158c647, 0x1a350f85, 0x16bc560b,
+    0xb7e70caa, 0x5129e84d, 0x7ea1f460, 0x63a78ea1, 0xaee293c2, 0xec9a8fdb, 0x6bef25da, 0xdff80c66,
+    0x8f7f5983, 0x0e015acd, 0xf1573508, 0xa81370b3, 0xb12b1bb6, 0x095f1192, 0x385e4b12, 0xaf125ffe,
+    0xac6a6187, 0x77944283, 0xc19bd9bf, 0x1586f336, 0x98723932, 0xb7c4851f, 0x8c71d820, 0xe512ab8f,
+    0x00862760, 0x19d23210, 0xf22f39b2, 0xb19a02df, 0x03696a9b, 0x802ef2d6, 0x16f721fa, 0x96492a03,
+    0xb145f3d6, 0x2a746dd9, 0x813d48fc, 0x8962e564, 0x3998de50, 0x08bda452, 0x8aa829b7, 0xb77c7b26,
+    0xc58311bf, 0x1d3f7456, 0x262e5910, 0xd6baef5c, 0x6f33ea9a, 0xf6acd032, 0xf702b510, 0x15b4dc76,
+    0x21e9003c, 0x1453a8ae, 0x6ad2257e, 0xedbcb645, 0xf178acfb, 0x89d4a363, 0xe2845677, 0x9cc70289,
+    0xdd944408, 0x201de6da, 0xd5c76c09, 0xabeb814e, 0x7f24f65d, 0xe8a44960, 0x42dedfe5, 0xa99c4b4b,
+    0x2ab7aa3a, 0x9e006799, 0x4c173f8f, 0xe53aebd0, 0x91b4f5c6, 0xe1633b8b, 0xc2c41f39, 0xe8a7f9c1,
+    0x1193d283, 0x281fa6d5, 0x209a66da, 0x2cbdf6fd, 0x2a42f5bf, 0x15f6ffde, 0x7d03777c, 0x2dfd8aea,
+    0x2ce8ad8a, 0x496d6a1c, 0x4618d217, 0x0caea8dd, 0x0787f915, 0xb7556f4e, 0x98d98792, 0x0bc72383,
+    0xc4b01b0f, 0xa0f17b2b, 0x4051061c, 0x52cd31df, 0xe9e2053a, 0x71f3807d, 0xaf0d8d5e, 0x7c6423c2,
+    0xb466101f, 0x5f011aff, 0xf514c5d8, 0xba27b547, 0x7d6cf334, 0x8abc2c0f, 0xfb3afbe8, 0xabcee2e6,
+    0x00000000,
+    0xa6d7eda5, 0x2495fb7f, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000042535295865117307932921825928971026432 */
+  { 0x00000000,
+    0x411fdd56, 0x6cdd53c5, 0x8f7d8153, 0x7199719a, 0x2eeaafce, 0x6b350a95, 0xeba7f273, 0x1e23d46b,
+    0xbf974748, 0xffb94370, 0xfab1ff25, 0x2b33d6ea, 0x9b0a2c62, 0xe299662b, 0x8d2edb36, 0x25c6b85f,
+    0xbe9faa9c, 0x3f904b72, 0x81debd19, 0x8acb98d3, 0x85e0d32f, 0x332d63c6, 0xa7c65704, 0x8df4b8e2,
+    0x0ee3b107, 0x335b99ed, 0xc5361146, 0xa32a11a0, 0x6031ab31, 0xcfeb6fb7, 0xce2cf589, 0xef027760,
+    0x4c552a5c, 0x9f8e5aa9, 0xe87277c3, 0x5de69b5f, 0xc1d23c16, 0x29b07ece, 0xc83b34d3, 0xbba66220,
+    0x2eebe7a5, 0xff4a8c4c, 0x3ad3e925, 0xbbe1e397, 0x8bfc142e, 0x3f218c55, 0x7d4272bf, 0xd2e5e22a,
+    0xc6e259f0, 0x45068665, 0xcab291be, 0x8ffd1182, 0x07e12a8c, 0x1139e25b, 0xa0c299c2, 0x5a029674,
+    0x044c8dcd, 0xdf37bdfc, 0x0a213a06, 0x8507c2b9, 0x47c381ec, 0x6e2613e1, 0x96dc745b, 0xd757e6b0,
+    0x3946af15, 0xc26dac78, 0x63f93558, 0x3e1e4b23, 0x4209ec6e, 0x6abadd1a, 0x13c08387, 0x97d516e4,
+    0x2e104d35, 0x4e9e566d, 0xeb5655b1, 0x7d83eb2a, 0xcd8b6818, 0xd7b3ce1c, 0x3f9e2592, 0x2d17e088,
+    0x9011c57d, 0xb9c69182, 0xf352eba2, 0xcfdcf50c, 0x963e7191, 0x546cf329, 0xe19d1b7c, 0xe8c01313,
+    0x78279f17, 0xa1192f59, 0xc57586ef, 0x7e9f7890, 0xa5b370a2, 0xf31b093e, 0x13999918, 0x9e4988c2,
+    0x680d737a, 0x43b8c899, 0xb4bebbda, 0x6b103331, 0x239ccade, 0x5816fd2a, 0x14f443d8, 0x1220f155,
+    0x53763502, 0x94f0a20f, 0xfc41c544, 0xa85d0a56, 0x2d25b404, 0x9ce4f447, 0x5e0de3fe, 0x9a25d645,
+    0xf174ca79, 0xf70acf33, 0x728c7f69, 0x98fb2dd5, 0xb16140ea, 0x4d915663, 0xda4b435d, 0x8057aaef,
+    0x0ff59d70, 0xd2c015d3, 0x5a678cbf, 0xf3919636, 0x924ba4b2, 0xac8e7dba, 0x00ef50a1, 0xc55037cf,
+    0x2eb1f4b5, 0xb3e7c229, 0xf29aefc5, 0x99b655db, 0xa5630d28, 0xad003e89, 0xf0aa6d95, 0x86591411,
+    0xcd0d4e10, 0xf04263b4, 0xa5c90996, 0x2182f64c, 0xf6f95cd8, 0xb7dd5fe5, 0x9805b72a, 0xe5e4633d,
+    0x63d1b5b9, 0x1ffeb9ec, 0xde24035d, 0xd4eaebc6, 0x59ecf658, 0x4ad9ac95, 0xb4d9e254, 0x92b25117,
+    0x332735da, 0x66e0951a, 0x6e5a5a11, 0x9a53bcc9, 0x6cbefba5, 0x773f47e7, 0x3db3eadd, 0x262ea2e5,
+    0x198602eb, 0xf614c17f, 0x6d0d251c, 0x049d2d9c, 0xe0b0e521, 0xa8e584aa, 0x757c956a, 0x4a893e5a,
+    0x142daa58, 0xc9f4b745, 0xb6ae0313, 0xef2709ee, 0x153a904d, 0xe884a6ed, 0xcf5cd015, 0x87ed3d75,
+    0xe6a9cfd5, 0x43a8e39f, 0x8e2ef9ae, 0x77c3294f, 0x497e1175, 0x19dc1e22, 0xd5f108fd, 0x81307fc3,
+    0x7daf55ca, 0x8e128f14, 0xdb638f68, 0x2ae16144, 0xd86dcab3, 0xbef10cdf, 0x2d430f35, 0x816ec8ba,
+    0xe7b5678b, 0xc53d23f3, 0x4fb686b7, 0xddb1a13d, 0xf7332516, 0xb0d19b72, 0xb178562f, 0xddb7ad58,
+    0x4bf0fff7, 0x36931766, 0x6a0efcc8, 0x1ff03f58, 0x432ce423, 0xfc162fe4, 0xdf8f4092, 0xc871f850,
+    0x49d92757, 0xa608d588, 0x3fdb2dc4, 0x2b784471, 0xa0705026, 0x76cde7f6, 0xa2060137, 0xb0219da1,
+    0xc078253f, 0x2f448639, 0x4702f62c, 0xa2d657f1, 0xb22efb1f, 0x2721e129, 0xb2b865a9, 0x4078de5f,
+    0xf58ef7a3, 0xb7e7f518, 0x269f27b2, 0xc80245f0, 0x1cd87ba1, 0x03361b28, 0x7afd4f13, 0x93a25cfd,
+    0x9d09699a, 0xee119b21, 0xcbdab9bd, 0x37600aa0, 0x2ad0e7ef, 0x9c9128ee, 0x989a3967, 0x7b9451fa,
+    0xff505101, 0xacf9ec3a, 0xbba9f09f, 0xfd4fdf65, 0x87fa583e, 0xe06bc8ce, 0xced79f43, 0xe89c1093,
+    0xaecce436, 0xab90d9c1, 0xb2c8ec4d, 0xff1e31da, 0x0d3de64c, 0x4867c1d2, 0x57c51933, 0x76b0d6a6,
+    0xe2fc2965, 0x1cd88513, 0x17945ec2, 0x1185af18, 0xabf12b24, 0x9641f511, 0xd3810a43, 0xa7c65a0a,
+    0x049fcbd8, 0x9697cb9c, 0x64fbd990, 0x13b85cfb, 0x0adb329f, 0xfa056152, 0x993aa2c3, 0x3cb09270,
+    0xbc297ea8, 0x3fb963ed, 0x8904ae9d, 0x292814cc, 0x20cbd336, 0x6066f667, 0x711feb90, 0xac837c6d,
+    0x32519109, 0x8939bb68, 0xc2e78744, 0xc686101d, 0x886afde9, 0x87a9989b, 0x206a4ce9, 0xe006cc22,
+    0x16c31c2c, 0x2b668767, 0xa9a7dd9f, 0xc4d41693, 0xba18a9a9, 0xe2c01643, 0x15ee2cfa, 0xdd8664fa,
+    0x1eba26e2, 0x9351033f, 0x144c6df4, 0x2ca37e42, 0x63be9cc9, 0x256df1f6, 0x472b74a8, 0x6d763079,
+    0x95524467, 0x7c404b35, 0xf439a8c1, 0x2c6cd9cc, 0xbc4e06b3, 0xc1b37500, 0xc2be4047, 0xab05ac14,
+    0x458b3780, 0xd675c84e, 0x67f9eb84, 0xb5c60d36, 0x9ef4f15d, 0xdbf62e8c, 0x7800ee8d, 0x6e62889f,
+    0x0a46cfaa, 0xda7989c1, 0xf69d5a8a, 0xc6a88efd, 0xc00ee816, 0x09fc4582, 0xf31ee0d5, 0xb165cde2,
+    0xfc3df954, 0x8ff2d12b, 0x8d574ef3, 0x05609658, 0x30e26e1a, 0x8cc56353, 0x69894ad5, 0x1706048e,
+    0xa181fe66, 0x1acf7808, 0xa47e8fe0, 0x693662d6, 0xf8aeaabb, 0x29f6bb6c, 0xada3122d, 0x03802446,
+    0x7c61fc88, 0x2f7dcaab, 0x24177a68, 0x02efdbf4, 0xdda4cb91, 0x23c98b9e, 0xc626eea5, 0x6600b3b9,
+    0x3e68fe36, 0x2b3cb594, 0x7c52fb70, 0x3e5d4780, 0xb43e6065, 0xbd0a565e, 0x7f2abb2f, 0x556e9b10,
+    0x11d2a0d5, 0xfab8c826, 0x0d2a14e4, 0x2fd0aeb5, 0x442ee421, 0x0408c0f2, 0x182bbff4, 0x16f5dbcc,
+    0x21ee8ed3, 0x4b455caf, 0x9c106395, 0x016061e1, 0xaaf0765e, 0xe95a2b86, 0x231af2a5, 0x66396038,
+    0x4c2541ce, 0x3a936157, 0x06592c8f, 0x2cc52419, 0x01f05388, 0xe3e41fc5, 0xf87a7643, 0xd74ef25f,
+    0x705da785, 0xc21ef4bd, 0x0338d54d, 0x84a0b615, 0xfe244632, 0xe26d831d, 0x68ee61cf, 0xb436ada9,
+    0x3271073b, 0xc476a75d, 0x3c494e9a, 0x46dc2361, 0x566784a0, 0xb3c5d5e4, 0x5dd0c65d, 0x90f82ed0,
+    0xe0804285, 0xe6039b7c, 0x94076a93, 0xf7d4ebcf, 0xefd65a08, 0xe757891b, 0x4c4524be, 0x68e208f6,
+    0xfaecc354, 0x686b3fc9, 0xafe8a186, 0x26aa42ce, 0xfa64fcf0, 0x5a3cfc73, 0xa775a0f3, 0x86ce7304,
+    0xa151ff36, 0x20dc908a, 0x5bb2bb60, 0x03b14ec3, 0x3b986e73, 0x12be8143, 0xd4461675, 0x47ae778d,
+    0xdc241ada, 0xe307750c, 0xefa90a8b, 0x58dae6ec, 0xf8c6058c, 0x5eca9974, 0x60503e0d, 0x526232d3,
+    0x875a5b19, 0xa6fe344f, 0x7b9ac3c8, 0x683b5af6, 0x5691578e, 0xc8f3e914, 0x3d475142, 0xf1c25769,
+    0x5385e284, 0x60d6d6e0, 0xc9521398, 0x472258d9, 0xda397842, 0x2f8585bf, 0x43621c1e, 0x3f97c235,
+    0x49503587, 0xf0f640bb, 0x55009a88, 0xcdc7e13d, 0x638470f8, 0x4c696863, 0x815ba6ad, 0x18b66a65,
+    0x202f8798, 0x12eea402, 0x68ed7391, 0x7b5a33ba, 0x0580470d, 0x5e865f04, 0x44cf6d19, 0x101a425b,
+    0xac96e750, 0xd557fec0, 0x396e642e, 0x949dfed5, 0xce6771e2, 0xb55542e0, 0xa98ae20f, 0x8808a069,
+    0x8e933ce9, 0x2fe50875, 0xd563f842, 0x7147a3c5, 0xe912544b, 0x3d93044e, 0xd7c07d3a, 0x6e43d109,
+    0xb8948e38, 0xce019ced, 0x96ed86e7, 0x0d978f9d, 0x595abaa8, 0x2994aef6, 0x89b3ee57, 0x18b2d526,
+    0xfbfc8624, 0x530db7fd, 0x4870c6a1, 0xc7edeb04, 0x4ab0b95a, 0x0fb7a4e1, 0x7fe998ac, 0x1bd9f909,
+    0x3889ffc3, 0x6893162c, 0xf0cda82e, 0xbdc69de7, 0x8f734a77, 0xd00da46b, 0xcbec018a, 0xb290cfad,
+    0x6bd53d74, 0xbbaca9d7, 0x7fca8beb, 0xb434cd2f, 0x15432856, 0x7361d250, 0x134ffbaa, 0x149909b6,
+    0x9561b61a, 0x83fcb477, 0x946acd83, 0x1012cba4, 0x2ec8b705, 0x1772638e, 0x2cb4588b, 0x14c775dc,
+    0xf341a598, 0x923f05b5, 0x4b40b0a5, 0x69b1ac3c, 0xe7802191, 0xf62da050, 0x11d1819b, 0xaedf1ca4,
+    0x087d9e8d, 0x969b2ed9, 0xb6e460c7, 0x099b224b, 0x8e2a3f56, 0x9a86ba92, 0xae435943, 0x16e6c6d7,
+    0xec1ef185, 0xddf18216, 0xde98dd5f, 0x093f4f5d, 0xcb3827e1, 0x294cde9f, 0x77463427, 0x80e97a16,
+    0x4e0c23ed, 0x16515f31, 0xdaa14724, 0x54667527, 0x8d4cd555, 0x2b25ed08, 0x05f9af78, 0x9c9bec4e,
+    0x0aac46af, 0x9d279a60, 0x284670b8, 0xeea1bcc7, 0xef3cff8a, 0x62ddac37, 0x8354c623, 0x6e2da993,
+    0xd933cb12, 0xfdeb71e9, 0xe3d9fa0b, 0x7b0618ca, 0xd5d93605, 0xdbcc17e0, 0xcb8feae3, 0xd11cf30b,
+    0xa851723c, 0xa062b553, 0x91725df2, 0x511d16bd, 0xd1537d40, 0x84dd64da, 0xd5c1da8c, 0x7c2ae167,
+    0x2a6ee34e, 0xfdc6d22c, 0x812a59da, 0xa9e62f1f, 0xf70dded8, 0x70405382, 0x2b822ac0, 0x4632eece,
+    0x7810a1cc, 0x6a0b9d4b, 0x928a0115, 0x41f90298, 0xf2dd3505, 0xb8aa426c, 0x943b0e57, 0x36604262,
+    0xa57eba2e, 0x3a7ccc14, 0x99b8c725, 0x071ae1ee, 0xe251994b, 0xf89bd9cc, 0x5fec6e59, 0xfb0fb21e,
+    0x7e716448, 0x4c0a5ee9, 0x4c9e8963, 0x73b744c0, 0x8155a267, 0x100973c1, 0xd8bb0810, 0xa8eb0b05,
+    0xb7d4dce9, 0x7b64767c, 0x9bea1042, 0x74e64cf8, 0x91a4ffb0, 0x51280817, 0x97dad894, 0xda27615e,
+    0x8baccd9f, 0xda47d8f5, 0xe48439ba, 0x7698a16f, 0x2f120744, 0x90d839b2, 0x0375b7c1, 0x26ba3d8d,
+    0x5b142323, 0xc8902a55, 0xe12f4644, 0x7672db13, 0x73de9b01, 0x6b90c747, 0x0a485596, 0x600fcf35,
+    0x8cf0f3e9, 0x3f60ef97, 0xea97ff41, 0x4a4d1fc2, 0xcdfd247d, 0x6a9e7740, 0x513825e5, 0xee7c696b,
+    0xc70bd9f4, 0x21c3a656, 0x66b2885d, 0x6e15bdab, 0x30ba4417, 0x2b71cba7, 0x3bbe6713, 0xad34451a,
+    0xbfec32ce, 0x77e6350c, 0x9d1777e8, 0xd876432c, 0x8c2c7611, 0xcf26cfbf, 0x65f3d6a8, 0x40e41b45,
+    0x5f76b53c, 0x06242c96, 0xdeea4fbc, 0x341635c1, 0xb2220358, 0x63cb857e, 0xfca36fed, 0x7534b76e,
+    0x83be5d13, 0xb1725cbb, 0x66bc99f6, 0x3080b0f3, 0xc5f5928d, 0xae9225a7, 0xe7d601c9, 0xe4bac0aa,
+    0x19a3e03a, 0x26cb2674, 0xcd16e531, 0x2569a7e9, 0x25f1054f, 0xc50f2cc6, 0x89df3d66, 0x28361328,
+    0x2ce22772, 0x9aa4b14b, 0x14158d3c, 0x5f7fd2cf, 0xe6c6139f, 0x5f17ad4b, 0x7bf56659, 0x18b446ce,
+    0xb52337d7, 0xfc3610de, 0x0999fa6a, 0xa2fc4d7b, 0xf9237b93, 0x9ef4e142, 0xbb08c90d, 0x4e94807e,
+    0xec84e40d, 0xba9c5f58, 0x58c8633b, 0x3cd6882f, 0xdab1f48e, 0xdec40e32, 0xe92b1254, 0x72b182f8,
+    0x6e84a5a5, 0xb9134e27, 0xef0c596f, 0xf22aa241, 0x18032e50, 0x23436a33, 0x31b1bd8b, 0xbe11d070,
+    0x784b0a71, 0x93ba9dc7, 0xf28f75db, 0x61290e57, 0xe3ee8815, 0x2b18ad05, 0x224e2666, 0xbb749826,
+    0xc50b47f5, 0xbca6e111, 0xd6388132, 0x2a6cbb59, 0x68df8d4b, 0x029ac2c6, 0x793aa39c, 0x71d35022,
+    0x9318a0d0, 0x1fdd7b42, 0xd49cc413, 0xbb06f62d, 0x437bad07, 0x5cf940c4, 0xcc03e155, 0xc32a0a23,
+    0x4a5866f1, 0xbaceae58, 0xfe88ee51, 0x7c1ba294, 0x52a98e5c, 0x1f11050c, 0x764a4f27, 0xea5f16d9,
+    0x7fafcb54, 0x46b92ccb, 0xca8cce24, 0xa7ea75d5, 0xdc94af85, 0x88e194f1, 0xa84f3898, 0x6b4bb7b1,
+    0xe990df5d, 0x639db279, 0x488dc4a5, 0xebd00d93, 0xb61e1ed5, 0xb8ba5ea1, 0xeced5398, 0x18402896,
+    0xc5a6400d, 0x9931ab68, 0xa9968ef5, 0x0c5cfeaf, 0x9d1bdb70, 0x224e5a53, 0x50b98280, 0x8d57627b,
+    0xf501d19e, 0x666b4538, 0xed6d2b55, 0x977c5df5, 0xfc415c28, 0xfac1177a, 0xd4df3039, 0x3b8eb072,
+    0x0b6e6f93, 0x167fbfaa, 0x63111983, 0x719dc420, 0x9b4f834e, 0x4afc6359, 0x47feb784, 0x33ad8aa4,
+    0xe01ebaae, 0xd2886985, 0x290ddd76, 0xcb081431, 0x9b14b47c, 0x9f9e02f1, 0x31e16d6f, 0xc5e6c5d4,
+    0xf911645c, 0xa55c877b, 0x85d89b4b, 0x9943b86b, 0xdac7f493, 0x16c79278, 0x582f2934, 0x662c6a76,
+    0xd012ad5e, 0xdfe44869, 0xe4425191, 0x2e6ff452, 0x7d2ae457, 0xdb7d707c, 0xed3990b5, 0x0300a1c1,
+    0x9a3b6198, 0xe42a7f68, 0x0cc787ff, 0x9a37fa93, 0x24f3b858, 0x2b20da9f, 0x5b19b523, 0x58dc4020,
+    0xff4b4a10, 0x0b64661b, 0xb9e80231, 0x325d6fc7, 0xf6f26c46, 0xeb3faa90, 0xa20ed010, 0x58b414ad,
+    0x4176657b, 0xdb2847ff, 0xfe31c8ed, 0xf8f4ac23, 0x09595e5c, 0x8ca2a417, 0x617d417c, 0xa1d67e98,
+    0x614c420a, 0x86133424, 0x0378b625, 0x851a7166, 0x51fea1eb, 0x9878c6c9, 0x8076ff10, 0x05d51466,
+    0x8dc5cae5, 0x13e6e571, 0x0906ad8e, 0x19befb3f, 0x87aa8e4d, 0xeb9edd22, 0x7692a588, 0x9036b907,
+    0xd9221fe2, 0x86115a19, 0xad1d4e1d, 0xfc97607b, 0x5c3cd0db, 0x217a4a38, 0xc2fb7535, 0x5ba15537,
+    0x5327cff8, 0xdbef4243, 0xdc1a7e1e, 0x656ea86f, 0xf929fa45, 0x5c348bad, 0xd35c5317, 0x7b8ea529,
+    0xa150e206, 0x83728ce5, 0xa9f828ae, 0x158bc9c1, 0x34bf77d6, 0x39c6d559, 0x38f1ac0d, 0xe0483762,
+    0x7186f500, 0x8a91afdb, 0xdadcb91f, 0x9412b4ee, 0x142419ff, 0x6bcb188b, 0x2ff02e1b, 0x650cfd07,
+    0xe050bd3a, 0xd9a26297, 0x0e8862c4, 0x265f31c1, 0x81eef82b, 0xd38a6536, 0x01cbdfa0, 0x65c80d99,
+    0x3bde2983, 0x47c1f9bf, 0x0a92414d, 0x133a4c4b, 0x33517c83, 0xadff756a, 0x01407ef6, 0x19492c3f,
+    0x8b3a2bc2, 0xe4b2aa95, 0x0b29a45d, 0x59a59004, 0x6fdfc1ed, 0x4cdb53a9, 0x407ba71c, 0x5a8c4ab5,
+    0x5ea3d007, 0x6678da83, 0x5b363240, 0x8b080d0e, 0xb933c50a, 0xeb86247f, 0x72139df3, 0xa0903a09,
+    0x9b348185, 0x070d7ba3, 0xb67e1e98, 0xcaa187a4, 0xd65cb58f, 0x2abfb6bd, 0x4ac23d98, 0x818ba943,
+    0x92699ad8, 0xa053f063, 0x1386bef0, 0xa15ac4ca, 0xf468e574, 0x074b9613, 0xcec9ce7c, 0xf6698f1e,
+    0x975a8398, 0xd428d88f, 0x4248d240, 0x01516892, 0xbca4280c, 0xf4566c2c, 0x4739af2f, 0xfc93d308,
+    0x2b927943, 0x8a2c39d0, 0x2ceb011b, 0x456b6025, 0x99a3d45a, 0xd4d44fa4, 0x1d352608, 0x1006a399,
+    0x032f6b34, 0xbc0aaacc, 0x9a0cd047, 0x1c4b370c, 0x660607bd, 0x915192bc, 0xe02b9300, 0xa88de259,
+    0x1a9806a7, 0x47a447fc, 0xb5f10187, 0x24b7b974, 0x548df7ad, 0xc0877d6f, 0xb370152f, 0x925cd182,
+    0xf9573dce, 0x4768a42c, 0x441be520, 0x6dee2a95, 0xc90b5c32, 0x4f728576, 0x28851036, 0x7ce98d19,
+    0xdb585c47, 0xc67060df, 0x5065fc31, 0x0c555177, 0xd56c2143, 0x77a66a48, 0xff0f2517, 0x707df269,
+    0xb547e15f, 0xf3014f3a, 0x2b07f0a3, 0x5f45eb12, 0x141e9603, 0xd8d4083b, 0x85709bc3, 0x0d460c38,
+    0x4f5fefa3, 0x7ef1e5f7, 0x4be80cfe, 0x432c4140, 0xb300d6d9, 0x117f4943, 0x6c0bee47, 0x742b7709,
+    0x090b228f, 0x14c24bd9, 0x50e56686, 0xc236e94a, 0x575d0202, 0x9cf66395, 0x841d3947, 0x45cb8d91,
+    0x13399017, 0x84158b8b, 0x4c9a48b2, 0x684f53bf, 0x30bdc2bc, 0x25b031da, 0x3fe37c02, 0x944b8d1b,
+    0x00000000,
+    0xd36bf6d2, 0x924afdbf, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000021267647932558653966460912964485513216 */
+  { 0x00000000,
+    0x2549738b, 0x68dc6091, 0xa1155207, 0x76eb29ce, 0x149e54f1, 0xa3f28965, 0xa0be1498, 0xabb335b5,
+    0x2c3d5caa, 0x25c2bfeb, 0x89cbb1b6, 0x64b88218, 0x8b76bc76, 0xe92bcb64, 0x1cc995c4, 0x9a0bacf4,
+    0x9c2213cf, 0x0df687fc, 0xcb758870, 0x4fe55b7f, 0x87704330, 0xcc3dea6d, 0x5c7d5e4a, 0xe6483eba,
+    0xc9272cdc, 0x90543ca6, 0x083dc9d1, 0x221e2133, 0x34796ba2, 0xa8e6b084, 0x032588e6, 0xd36fcda6,
+    0x5d2b2b56, 0x75378460, 0xae987108, 0x77ed98d7, 0xf76a1fb2, 0xd9c61b3f, 0x544f5f5c, 0xe2456303,
+    0xb3263950, 0xb11eba95, 0xe3098f7a, 0xc97ff463, 0x0b62c911, 0x5c2ddb15, 0xea870f0e, 0xc79b18b5,
+    0x84aea1ac, 0x0fd32862, 0x120a589b, 0xfa0ecc32, 0x62bd038e, 0x4fe93676, 0x6cbf7acd, 0xb8b3c12d,
+    0x705457a7, 0x4c383059, 0xd394408f, 0xc94cab3f, 0x7dd76bbb, 0x8942ca59, 0x3540181a, 0x35f93313,
+    0x2077bf76, 0xd87b9309, 0x30c1810a, 0x13151c90, 0x1bd48422, 0x0eb9e0f8, 0xadfc409d, 0xbdfb2c49,
+    0x82ce29b1, 0xb33c5cb8, 0xf3a62723, 0xf1ed6af4, 0xaf67253d, 0xee4cd533, 0x8f7d64c9, 0xb2c0ac45,
+    0x7f500097, 0x4acb224c, 0xff91b326, 0xddd32136, 0x7e4d4eea, 0xe582caa6, 0x1895aaf2, 0xb3566ee3,
+    0x59c1fc44, 0x22959038, 0x32219465, 0xf3babe24, 0xe9457a10, 0xc2a991ce, 0xeb379a9a, 0xe13a77f2,
+    0x9a1fe61a, 0xb02cb814, 0x85871af1, 0x057a4a44, 0xf43da9f1, 0x55585f48, 0x478390ca, 0x7eb50dc0,
+    0x4875be53, 0x2d1f6dd3, 0xf040552e, 0x5794cb2e, 0x2689742c, 0x93cd5f3d, 0x2030db33, 0x3514259e,
+    0xc196e314, 0xe2c615b7, 0x063adb41, 0x7bcdbdb8, 0xad3eabb7, 0xd39f2af9, 0x08ed616d, 0x259a24e3,
+    0xfdfe24ec, 0x76805e22, 0xbd4b4c7d, 0xb73002d7, 0xe4f0e3b4, 0xcd6215e3, 0xaf32de91, 0x5ca61f15,
+    0x9cc219c0, 0xf7d4df19, 0x95fd93d3, 0x3667cdbb, 0xd02730ea, 0x29df3279, 0x9dd34bdd, 0x954c2160,
+    0xf965f606, 0x2c726af6, 0x6a934c40, 0x0fc561ce, 0xd9cb9ed0, 0x194cd7cb, 0x773a32ac, 0x0d373063,
+    0x265b202a, 0x8e138aca, 0x14abdfd1, 0x0726ce88, 0x23e87d85, 0x593150cc, 0xd97027f2, 0xb51e863b,
+    0x1e9b9c00, 0x2d464cff, 0x10857130, 0xf405a9b4, 0xe4ddc0ed, 0x94306f66, 0x5f7abaf6, 0x99902ef0,
+    0x536dd3cc, 0x8a26084e, 0xaa8743fc, 0x11d44d5f, 0xfaa60bd8, 0xb8327ebb, 0xeaa06a9e, 0xd3e93a87,
+    0x057281c2, 0xe0ca0613, 0xee465ec4, 0x8241d39b, 0x3134367f, 0x2544efbf, 0x18d6e9c1, 0x75df4633,
+    0x2a6c5418, 0x6d55c5bb, 0x2e0df0d3, 0xd43cf462, 0x0efd76f2, 0x38ebaf02, 0x7c1043ef, 0x3bf4ec6c,
+    0xa53f6dc8, 0x1b34012c, 0x4bd06cbf, 0xeec70d49, 0xd0955089, 0xf35ee27c, 0x76073522, 0x8a13f8c7,
+    0xc8acd866, 0x70ec52bd, 0x384c938e, 0x73285b64, 0xabbb41ab, 0x36c49b85, 0x50697104, 0x70e4b1d9,
+    0xbca3fbf9, 0x5e90fe8b, 0x0df5c038, 0xf236d012, 0xbfef8818, 0x8960705a, 0xe1380c74, 0x2d06ad57,
+    0x9ad9b84c, 0x487eaaea, 0xb2f4564b, 0xd5a94ec0, 0x827aa751, 0x912fb45f, 0x9a5ffa42, 0x018b840f,
+    0x1c15ce9e, 0xb25fe0ec, 0xc89a56e5, 0xf3b7141a, 0x72376843, 0x1b6e73ce, 0x378ab823, 0x300da8b1,
+    0x2ef39bae, 0xfc365f27, 0xe4e1d98e, 0xc6fc41d4, 0xbefdec30, 0xdc134744, 0x49bec97a, 0xeafd3a51,
+    0x96378be1, 0x0cf4f75f, 0x06a24189, 0x226e052b, 0x1526a327, 0x7820864f, 0x51ceb845, 0xfad1cf18,
+    0xa425ded4, 0x8b225360, 0x44148b43, 0x4149c408, 0xf7e5d38b, 0x0fe4903d, 0x2f9fde89, 0xe6e2ad3c,
+    0x5aa6ff2d, 0x925523c7, 0xc7e89652, 0x6d52f010, 0x790ab016, 0xb89c316e, 0xfb6ac215, 0x8ad8c6ba,
+    0x57eef5ce, 0x0911b03f, 0x848a4938, 0x44913005, 0x7ddba85b, 0x4707e41f, 0x9032806a, 0x4824b403,
+    0x23588e66, 0x85fdd914, 0x1101cc0c, 0xe6dea25f, 0xd1e57d81, 0x933f3a3d, 0xf79ea578, 0xd21c9dcb,
+    0x6ec5de43, 0x1dd379c6, 0xb83c77be, 0x3e3e63c6, 0xd55d5f85, 0xbb595917, 0x8c465268, 0x56caaf2c,
+    0x76290b10, 0x2fd169c2, 0x87e5e619, 0x8dc5e552, 0x80926e47, 0xe5940498, 0x7e221298, 0x3c635245,
+    0x9b181fd5, 0x600d8619, 0xae69f250, 0x3dd4c715, 0xb7ed0a7e, 0x2b96f7e2, 0x713bd373, 0x3f367147,
+    0xf4a743f1, 0xd2a62d2b, 0x59be1b9f, 0xe6b4566f, 0xa8487a6d, 0x13a52791, 0xacddf45e, 0x0ecb4617,
+    0x6e75ee09, 0xf051c519, 0x7e3f4e6c, 0x1ef7aa11, 0x214e8824, 0x0983efed, 0x9b552bfa, 0x850200e3,
+    0x0d410843, 0xb3d22404, 0x1dff9ffe, 0xcda6245c, 0xb4137443, 0x10739c01, 0x010257ab, 0x9de5daff,
+    0x9f03008d, 0xecfef167, 0x83202a17, 0x9111d991, 0xf28f49c4, 0xe8fa6759, 0xad969d18, 0x8dd00c6f,
+    0x4fbd2e23, 0xaa0b4497, 0xc13eebd1, 0x136ae4d9, 0x76eb34e2, 0x6d7f00f1, 0x9213d0dc, 0x5e458d67,
+    0xbbac1c91, 0xd9c28983, 0x2995220f, 0xbf5e0974, 0xe8066d5c, 0x9d165754, 0x3b223631, 0xe658ed6a,
+    0x419f0a3d, 0x251e6834, 0xbba3a8a2, 0x9b28ef6c, 0x7adfe31b, 0xc6df3ab4, 0x6a014911, 0x774110f7,
+    0x79aedb79, 0x757fa191, 0x2bea395f, 0x390ad25e, 0x1b57ed1b, 0xeabce0e1, 0xd7fec8c5, 0x4ec17e16,
+    0xe5a7a148, 0x4c693391, 0x224e2d26, 0x66128fe4, 0x37ca2835, 0xbb8f272b, 0x7afd0296, 0x405470dd,
+    0xea2dea9d, 0x951c245c, 0x4f6105ed, 0x98200a0d, 0x9a4e28c9, 0x9982d277, 0x51963f16, 0x97621de3,
+    0xd2425f36, 0x2621b840, 0xdf5a189e, 0x5cbcc416, 0xc6b9c3f4, 0x30a0eb3c, 0x92c02e5a, 0xff13e5f0,
+    0x36398e18, 0x6098f8df, 0x4d06e81c, 0x6aaeea4f, 0xa5348730, 0xf749f5f4, 0xd9815fc0, 0x9be31471,
+    0x0cc0ea7f, 0x96c81923, 0xa97d6ffe, 0xd8353e4d, 0x3fcb4d32, 0x4118a27c, 0xa8727ab7, 0x5125d69b,
+    0xad2ec1dc, 0x3c1ce33b, 0x8617f14b, 0xeb95cacb, 0xc68fa3d3, 0xf6b84b36, 0x494c418c, 0x1d62e563,
+    0xae2d9094, 0x7da122f2, 0x88fa82a1, 0x1090af06, 0x7cdcbce7, 0x07fae421, 0xbc001ff6, 0x4c3ccda2,
+    0x793c11b4, 0x79e57acf, 0xe084eb45, 0x9af297ff, 0x888fd2bb, 0xeae40abd, 0x99f261d1, 0xf8d5b637,
+    0x7770d2ec, 0x2f4073cb, 0x072bf76d, 0x3ac08d1e, 0x0af73031, 0xe66b7146, 0x03d9d078, 0x3097d565,
+    0xe2ad2329, 0xd2094f71, 0xdde3c77c, 0x855079cc, 0x144ab842, 0x5318089b, 0xaba5c750, 0x6baf410a,
+    0xd84dcce9, 0x89643080, 0x25d42f3b, 0xf316811d, 0x1020341a, 0x5fe2da36, 0x6f74a465, 0x53a272d8,
+    0xe92e2ce5, 0xa0d1173f, 0x68a1ca3b, 0x41cdc349, 0x2d4f0dcc, 0xafd89f8d, 0x99044d50, 0xa4cd1d25,
+    0x244e88e9, 0x2f74f36e, 0xd5a559c5, 0xb6418232, 0x33cc9798, 0x2ff219ee, 0x2b11229d, 0x3025d0ba,
+    0x3b1ffd97, 0x7ae1a5b4, 0x348a1d8a, 0x404f10c5, 0x1681021a, 0xbb7656c0, 0x84238440, 0xda03efcf,
+    0xbc04f150, 0x279a7058, 0x4cba696c, 0x39db9cd1, 0xd615fce6, 0x0a59acd8, 0x01b13d68, 0x9f1d0d94,
+    0x22bf5bef, 0x63c278a4, 0xe55d608f, 0x7486d75e, 0x9655fe46, 0xa7b640fe, 0x9762e5d9, 0x7f549721,
+    0x470caee6, 0x8cc66d76, 0xa2462fd9, 0x78081a82, 0xf22e5ef9, 0xf1ba0f64, 0x9718e48e, 0x85b63023,
+    0xe5fbb7be, 0x5b0941e1, 0xda0f0292, 0x72403df8, 0xb4d8bf56, 0x49408b84, 0x9a51439e, 0x9c6979fb,
+    0xbc50cd0f, 0x6719fb2a, 0x9066b3f0, 0x70619570, 0xa6dea743, 0x078456ee, 0x83920379, 0xb33d4d81,
+    0xee36d908, 0xa28a3af9, 0xd901879b, 0x7fe03034, 0xe4f98ea5, 0x7b6bdfda, 0x3bd87995, 0x21d5bc8f,
+    0xabc095aa, 0x65aa303d, 0xdec4a536, 0xece8fd7b, 0x4233b9d2, 0xa9141667, 0x00cc2e98, 0x39880b14,
+    0x257650aa, 0xd64d648f, 0xb696a6dd, 0x1913f806, 0xf7795b79, 0x6772feb9, 0xaae6beaa, 0x1c6c42c3,
+    0x11c1c76f, 0x2a17ff8b, 0x0ec2cb87, 0xd3546611, 0x452fcd45, 0x6738d584, 0x3021bad8, 0xbb0dfa5b,
+    0x7a246d2b, 0x3348f5a2, 0x0b1abbc0, 0xa52a36a9, 0x4658893a, 0xfea60afc, 0x3f15bc9d, 0x1357d3a1,
+    0x7dcbdab3, 0xe77bda48, 0x55d56f27, 0x22131c34, 0xf0886d78, 0xd58eae3e, 0x29c78c5f, 0x490db1f1,
+    0x829aa8d4, 0x19cfcc6c, 0x72072826, 0xf3ffbd32, 0xabda0f70, 0xe193f51e, 0x189d3b0e, 0xaf87302d,
+    0xbb6ccc18, 0x624899ba, 0x0b4b1bb6, 0xcf0c3910, 0x0f3ddd3a, 0x9a2afd47, 0xb3ef2e6d, 0x4eca2890,
+    0xf1783d84, 0x28007bb5, 0x31c2fd82, 0xb8249587, 0xa76a04c6, 0x009ddfb3, 0xc647a7ae, 0x6952a984,
+    0x4109b6c2, 0x5ddcea05, 0x96dae61c, 0x4edf3c46, 0xa57fac90, 0x3de84ae0, 0x052c35d6, 0x493c6770,
+    0x1df90a11, 0xf26d961c, 0x2b3e8bd2, 0x1e672e01, 0xb34b4067, 0x5812078f, 0xcfbe208f, 0x31ab7a44,
+    0x01811a08, 0x56a43ec2, 0xa441d84f, 0x3001f1db, 0x9478fc69, 0x61de0ee5, 0xa293baaf, 0x068e5ce7,
+    0xe8d3f41e, 0x41214fe3, 0x63c36359, 0xf12c50a3, 0x241cc718, 0x5211e15f, 0x28cee29e, 0x19f6c035,
+    0x3fde2864, 0xed91308c, 0xb3b57472, 0x31c08f20, 0xb8d22ddf, 0x6a789016, 0xd5737ee4, 0x6533226a,
+    0x3b7403c8, 0x12bc0e9b, 0x70f1d47a, 0x04b1cce6, 0x05cfdf22, 0x500914e4, 0x0ea11c74, 0x30a6e14e,
+    0xe72ee1ec, 0x30e06f69, 0x0f7dfd01, 0x37acf529, 0x1744926f, 0x509acd6e, 0x075dc658, 0x417e339a,
+    0xc7d010bc, 0x3fc12324, 0x95e4068d, 0x8845a19c, 0x99162a81, 0x319a0acc, 0xd1323140, 0x5dc8f21a,
+    0x4be0a38c, 0x30bd1be0, 0xd338a707, 0xa463980e, 0x7dc132c1, 0x0316188f, 0x984339a4, 0xb4f65ddf,
+    0x70233300, 0xc450afba, 0x37278dd2, 0x3cac9589, 0xdf15afaf, 0x57baed3b, 0xa5d75c1f, 0x64d73aca,
+    0x208f6fb0, 0xc5a92ec7, 0xc940e843, 0x6d8d260e, 0x6ab30a67, 0x33486841, 0xc27c0abe, 0x34a208aa,
+    0x7151fcc5, 0x9d10639f, 0x1553de53, 0x5d3f9746, 0x01265491, 0x2d57e9bb, 0xcf58a700, 0x9729ca4b,
+    0x4dff26fa, 0x4e3a555a, 0xc6a32203, 0x0e8fda4a, 0x1aa2a7bb, 0x1cba424d, 0xc3a304ed, 0xee70b044,
+    0xb169ecca, 0x4a4b61ed, 0x22fe2d79, 0x4f35ef45, 0xd3231f79, 0x430ae260, 0x91789b91, 0x81f48470,
+    0x7a2c64b2, 0x5705fc56, 0x1c3feb27, 0x748e66e1, 0xb581e9e4, 0x5850fcf1, 0xfa47352d, 0xf19335f7,
+    0xe4a9711a, 0x3a191f0d, 0xe74b5398, 0x8fefb542, 0x021408dd, 0x5cae1271, 0xac64dca0, 0xb1e8646e,
+    0xf7aa6191, 0x5f1f64b2, 0xf9a43c15, 0xc01bc89a, 0x99d30b4c, 0x8e4e75e4, 0x4766dbfa, 0xafed0ad3,
+    0x832ef7ec, 0x0f0ce8b3, 0xf5fae655, 0x2a2cd715, 0x07bc631d, 0x312a8edd, 0xd6849bd2, 0x7354a3b2,
+    0x9aab8822, 0xfedb3c8f, 0x76675c07, 0xd6a1cf32, 0x1e750297, 0x0278b323, 0x6e76a0d9, 0x15edacf2,
+    0xeca4948d, 0xdfc925c8, 0x036be20a, 0x01ac9d53, 0x1eb47243, 0x2b308736, 0xaaa7de46, 0x24106142,
+    0xa92a4efa, 0xa80f404e, 0xd3843e64, 0xd22bf161, 0x2b1e907c, 0x28a42803, 0xc0756735, 0x246130d7,
+    0x111cdf85, 0x51bd9ffa, 0x0318d762, 0x57ac5480, 0xeb398f56, 0x25978c85, 0x96f1c4b0, 0xf6b6b28a,
+    0x53979093, 0xc68cff4a, 0x7e41d9de, 0x829c0b35, 0x908097d3, 0x42a6ae0f, 0x0979085c, 0x62220229,
+    0xcc998fea, 0xa6eaaa5e, 0x45e7c137, 0xdc19dc5c, 0x6fc4681d, 0xc1f78b29, 0xdb21b567, 0xf8081c74,
+    0xeddc5b44, 0x3599941e, 0x136567ad, 0x08883577, 0x5e9f1d92, 0x003cf4ca, 0xc5bec9cc, 0xc109f0bd,
+    0x1446f54b, 0x724010cc, 0x4185ba12, 0x6fcc6945, 0x762856da, 0x0927c70d, 0xd049449e, 0x6a5560a9,
+    0x1436b8e8, 0x9907a6b7, 0x32730a89, 0x4142c044, 0x3618907a, 0x2731f75f, 0x31ee87c4, 0x61cd3123,
+    0x6d4df980, 0x0dbd6cd1, 0x3f00addd, 0x08e4b3ab, 0xeace0139, 0x95c543fd, 0xac20b1d9, 0x01e7ac5d,
+    0xe55da023, 0xf9dcc264, 0x864845f1, 0x27ad70a4, 0xcdb71008, 0xc584bb9d, 0x7d478c6c, 0x52244c16,
+    0xb7708a6e, 0xde664f38, 0x0fbc1f95, 0xaea2aa22, 0x83cfd229, 0x4d1caf9a, 0x22dd2328, 0xc0873937,
+    0x656036ef, 0xa8cabf9d, 0x4b957822, 0xbf73cbbc, 0x35cbee52, 0x282bb553, 0x447de99e, 0x4e659880,
+    0x73bf77b8, 0xbf94d9a1, 0x51bea3a7, 0x5f6261d2, 0x024c84ef, 0x648d972b, 0x7c76be6f, 0xfcd709d6,
+    0xf0be27c1, 0x8ce2047d, 0xdabc3b16, 0xff66a74d, 0x1fa93cb7, 0x3d0d6250, 0x9a383b64, 0xbbcc19a0,
+    0xfec5985f, 0x2767b36e, 0xd8a4a365, 0x4e0401d7, 0xe3b7da6a, 0x00bc3e2b, 0x95cfeaab, 0xfdf917e1,
+    0xb649bd70, 0x204f2053, 0x12ae581f, 0x976fb49c, 0x85512fda, 0x4c551b53, 0x104d2ce2, 0x35b3d999,
+    0x5e27b5c4, 0x73fe985b, 0xe3bb06be, 0x19c3bb7d, 0x81d79eb8, 0x8b2f10c7, 0x1770fe1b, 0xcf631ab1,
+    0xc8c116f7, 0xc2977319, 0x28265ada, 0xe87e9fba, 0x1ded2d01, 0x7a4be617, 0x10493bf9, 0x294dcb68,
+    0xf6d403e1, 0xd2cf6def, 0x5d8dffa7, 0xb469ea6e, 0xc3507f19, 0x947b71c0, 0xde99ddcb, 0x66ec10c7,
+    0xf46c06ae, 0x5bcf2af1, 0xea1f663e, 0x3d88d449, 0xd277d79c, 0x3bb98997, 0x7e2568a3, 0xa720a372,
+    0xd13562c7, 0x35b2f7a4, 0x1d2d6b12, 0x0d91253b, 0x33b7bb01, 0x27195ad5, 0x9e893987, 0x0dc0285d,
+    0x4daf74a6, 0x925a0996, 0xcc77b13e, 0xcc3ad3f2, 0x92379a84, 0xf0b27319, 0x8fad4319, 0xa3880a54,
+    0x78965541, 0x0a48a1dd, 0xc0314227, 0xb2f76b3a, 0x8a8d2ef5, 0x27cb9129, 0x5b1f6d42, 0x32942a02,
+    0xbf36a15b, 0x7904ab0d, 0x5858f139, 0x2f009a70, 0x609a6a11, 0x4eb68556, 0xe6b88877, 0x099d2073,
+    0xb973ed7b, 0x4a135367, 0x92de9ae2, 0x572cfd72, 0xdf24df59, 0x58621499, 0xb97c8dd7, 0xc4c2fc5f,
+    0x9b645090, 0x8f447467, 0xf455fd87, 0xf0a98827, 0x10309676, 0x608a8966, 0x5eb780b5, 0xd3e045a7,
+    0xbbb72f6c, 0x035b3b4f, 0x51278bd7, 0x6c1f9ebb, 0xdd22bbc1, 0x0ea0b8a8, 0xbb7f78d8, 0x8721df22,
+    0x86474147, 0x8d8e8c80, 0xa2adf0e6, 0x00af8002, 0x662c985d, 0xb04ac12b, 0xd902c120, 0xe8b694d5,
+    0x3ff6caed, 0x79333377, 0x2611aedb, 0xcf0958ba, 0x3e1d2cf8, 0xa7011a7f, 0x386307c9, 0x107647d4,
+    0x80040dd8, 0x4fb45188, 0x3c79e7c4, 0x59237890, 0x7cb05b20, 0x4e35eadd, 0x27e3e72c, 0x12929edf,
+    0x05f2612e, 0x3de7bc70, 0xeaebd41d, 0x71ce5aa1, 0xfef4b62d, 0x3f760d08, 0xc166c216, 0xbc714fd0,
+    0x6822325b, 0xefe6ceb3, 0x84ca6099, 0xc39ade6d, 0xa1bd9610, 0x4d3c2a55, 0xc937b95f, 0xaeccae95,
+    0x05b01ab0, 0x0ec7f039, 0x27ca5780, 0x64cc02c1, 0x4716b403, 0x3f92aa16, 0x04b186b2, 0x927709c6,
+    0x1fbc8a97, 0x1e6d12d7, 0x32c9d0ae, 0xc7d2cf40, 0x9a8c2135, 0xeac48fcb, 0xb19d7754, 0xc2d7a5e7,
+    0x00000000,
+    0xe9b5fb68, 0xc9257edf, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000010633823966279326983230456482242756608 */
+  { 0x00000000,
+    0x61579338, 0xb7ff362b, 0xe6de8e13, 0xc300ad2b, 0x0d656ad9, 0x50b3ae6f, 0x0f663e27, 0xa855139e,
+    0x5a5f70b2, 0x4b30e8aa, 0xc0dd47f8, 0x21121212, 0x3d1481d1, 0xff534b45, 0x3eaad2f9, 0x62cd4c93,
+    0x0066c2fd, 0x92c88d60, 0xdb66e6c1, 0x2bf8212e, 0xd94f56cd, 0x5bbcfbcd, 0x69e7cd7c, 0x3948b7a0,
+    0x08cd225f, 0xef10e306, 0x580e9e51, 0x2ab81fcd, 0x8866be3b, 0x14558de6, 0x8e29c8d6, 0xbfef54ea,
+    0x538c0552, 0x27daa362, 0xff663f45, 0x60d4cb48, 0x153258b8, 0x083096ba, 0x2680e357, 0xe9747d95,
+    0x7872d38b, 0xa052ad6b, 0xd9dc7937, 0x72cec8fe, 0xb2746bae, 0x82a8bede, 0x966f6277, 0x2f05c561,
+    0xec329130, 0x2b031750, 0x18ca9406, 0x97b412d4, 0x549aa181, 0x78354d2b, 0xacf46ef3, 0xd979919a,
+    0x9d6ff06d, 0x2587eafd, 0xf5e0b1af, 0x71151f0e, 0xfe99141a, 0x3afa8920, 0xb9d53f3a, 0xfaaf1f3b,
+    0xb3ef1c8c, 0x73c2e616, 0x3208a5f7, 0x5ea3d08f, 0xd7ca7d0e, 0x6cf29ed9, 0x648add6f, 0x02c1b4b2,
+    0xe90e2600, 0xf612d747, 0x1551787d, 0xb4018c93, 0x659825fc, 0xbdfe8e62, 0x9db52421, 0x4c327452,
+    0x256f95bb, 0x38df49f4, 0x31442d26, 0x96619c77, 0xab007bf4, 0x86bb213a, 0x15e6737b, 0x75c3ee9c,
+    0x03ff72bf, 0x55ad7015, 0x52f76743, 0x2b2b5d4a, 0x16cfac53, 0xe0ad370d, 0xa0d704a7, 0x3f2b8d75,
+    0x7c112dee, 0xcdad370c, 0xd3c4df6c, 0x2ca70a44, 0x94557ee6, 0xf9175d3b, 0x333d6535, 0xadf9cbf3,
+    0xc91241f2, 0xf9afbd84, 0xf7ee1aac, 0x7e45957f, 0x45a76b7d, 0x57d74c78, 0xcb38fa9f, 0x122261dc,
+    0xfaabe396, 0x6a809c2a, 0x753bc1f3, 0xe95e263c, 0xc639460b, 0xc34a0942, 0x492e0964, 0xb267e37e,
+    0xbeb9ff98, 0xba59346b, 0xe4dae75d, 0x9a087ea4, 0x8ee1073d, 0x329c50e0, 0x71039e8e, 0x383fc2fb,
+    0xc277fbb8, 0xda90fc52, 0xdf77f792, 0xf7830fbd, 0xef9697a9, 0xb78c43da, 0xba7c28d8, 0xdaa2838e,
+    0x53255707, 0x2258349e, 0x29d65fdf, 0x7582a7f5, 0xc30ab377, 0xab009045, 0xcb08abc0, 0xa8768390,
+    0xb47f6c39, 0x88108d1e, 0xb1d32d98, 0x46adbabb, 0x78d90b7a, 0x96fcb295, 0x3e0e9b91, 0xbc38a230,
+    0x4dc8bd0f, 0x56cc1360, 0x4db63c4e, 0xbcd24287, 0x6dc9f7ce, 0x7833c2c2, 0xc33c8a76, 0x0fbcbadf,
+    0x7e1e4f4a, 0x15658aad, 0x75f7d449, 0xc43daab5, 0xaa92b364, 0x2d9966cd, 0x22483e8f, 0xceee973b,
+    0x5e41b1d4, 0xf8442673, 0x6119267c, 0x65304bd4, 0xf1ad0303, 0x8c34dcbd, 0xc6ea6c20, 0xe09b1115,
+    0x1d3a2cb9, 0x81e0e6be, 0x42b0fe5f, 0x80467e12, 0xd78d1b51, 0x95ae45bb, 0xc4d1f4de, 0x21e58a60,
+    0x2a703870, 0x7f17dfc0, 0x39331647, 0x8b6f775f, 0xdb65c103, 0x4f184d14, 0xe956c2c7, 0x002d9140,
+    0xd422c417, 0x28ef1318, 0x79e628d0, 0x91bac208, 0x5d3cb93d, 0x3c52aab0, 0x964ded4f, 0x02fe7c4f,
+    0x724e0b6c, 0xaaab48c5, 0xb952bc11, 0xe0fcdd63, 0xa073a135, 0x1349b1fb, 0x1624b63d, 0x9f44d328,
+    0x34e25ec1, 0x88076223, 0xf88234dd, 0x8953281e, 0xe0201261, 0x17139c61, 0xbca528f9, 0x4605ccc0,
+    0xea28c820, 0xcb69c74d, 0x3333e583, 0x36766fa7, 0x4b3a15f8, 0xeadc0fc3, 0x6d006885, 0xf0e4eda1,
+    0x3a5d579f, 0xc2765bf9, 0x3e6ab199, 0x56f69ee1, 0x8cfd1a3e, 0x0eed2922, 0x3d95ba31, 0x7d9d84c2,
+    0x7919c6c6, 0x02825c4e, 0x73fdea73, 0xdecf365d, 0x64dfe5cc, 0x71b71eff, 0x453cc09f, 0xdd8543ab,
+    0x32eb8cfc, 0xfed2d02e, 0x2c16d24b, 0xc8151c00, 0x1d831ec9, 0x967aac3d, 0x5ab477ac, 0xaae28458,
+    0x6b3d2e39, 0x88aac06c, 0xa62ed6bb, 0x5b2c6fc7, 0xf144f943, 0xe56faf4d, 0x8f1804e1, 0xcf380770,
+    0xa04a4c75, 0x7f69caad, 0x07faaedf, 0xb9a46d89, 0xcdda9af1, 0xc777af7f, 0x94814507, 0x6aa9d605,
+    0x744c0d75, 0x4b2db4fc, 0x4dd8c7e5, 0x0570c1f4, 0xc7e14f3e, 0x2639e33f, 0x633a73bc, 0x5c943db1,
+    0x54806a04, 0xf83c5a26, 0xcf5c545c, 0x6f78f823, 0xc4acc271, 0x4af2c109, 0x396c5bea, 0xcd050295,
+    0xf312fb65, 0x31d7db5f, 0xf7d4a280, 0x55228646, 0x013ec1a9, 0x6cb7d948, 0x45f69534, 0x5a619537,
+    0x165c3e9a, 0xf400e4db, 0xa0715bc0, 0x920af042, 0x4e628461, 0xa9b8f381, 0xb2aa0dda, 0xd87b4c3c,
+    0x23280578, 0x200aed75, 0x339e5cda, 0x42ebb74e, 0x265a977e, 0x203111b2, 0x7f28bfaa, 0x337df95d,
+    0xac73ef91, 0x7f09196f, 0x92c51ce9, 0x8ef8a7b2, 0xa2be5ca4, 0x32960f4f, 0x082381cc, 0x8cc7fac3,
+    0x53cb0444, 0x91c59848, 0x5f1a1543, 0xd9932fe1, 0x2ff82a84, 0x8b236169, 0x7880e7f0, 0x375a7099,
+    0xde88d94e, 0x26212a11, 0x36b8e827, 0x9f2a6723, 0x1dc8427b, 0x8e82a575, 0xb9310eb9, 0x0d23fa91,
+    0x168154f5, 0xc26072d0, 0xb0984ec2, 0x052be14a, 0xdb923b02, 0x3f28c79c, 0x27cf6223, 0xe3ba6914,
+    0x7b3a1e75, 0x1bf78cc5, 0x3722bf35, 0x0175c93b, 0xbb9210da, 0x60185a86, 0xb465b1fb, 0x74ba26ba,
+    0x1e4d1ae6, 0x79a8bcd9, 0xdc5e3891, 0xa959e299, 0x889ec674, 0x006756c4, 0xb7f14bd5, 0x2bb1858a,
+    0xb3ce4b72, 0x6b06e75e, 0xa336846f, 0x9050e9ad, 0xe1407f5c, 0x72adc8bd, 0xec944722, 0x3d0a4ec9,
+    0x9a60c4ad, 0x013d6f74, 0xc4468ea6, 0x9a80bcb9, 0x0e7ae475, 0x1e57e033, 0x7e20dd9c, 0x21693934,
+    0xb0eddfa4, 0x96b506ac, 0xff2dea34, 0xc92ca1b7, 0xdeddc4ac, 0x2c3d8829, 0x7829d22b, 0x4b3e5b16,
+    0xd697acf9, 0xae3eab5b, 0x79673043, 0x5acce774, 0x626dd558, 0xdf32e32a, 0x935c41a0, 0x18432156,
+    0xb462799f, 0xa62c2a5d, 0x786279c7, 0xbb7e97d2, 0x3574dbb0, 0xac67d4c5, 0x6b67296d, 0xbbfe35f2,
+    0x7d4909cb, 0x6279b319, 0xe1a97224, 0xc3903a67, 0xf71b84a9, 0xdb5bf726, 0x5d948053, 0x170c7714,
+    0x8ed865fe, 0xcc7a53da, 0x37e3b77b, 0x7392b987, 0xe7ec3c90, 0xf144056f, 0x038c19b1, 0x7e2dd6f5,
+    0x58d670ef, 0x48db3cc2, 0x6bbc1c9d, 0xc292ad83, 0xb6c5ec45, 0xdc56f5e3, 0xbddb43b4, 0x931a24ca,
+    0x91bca37c, 0x5f76e69f, 0x52d155a7, 0xdfcd25e9, 0x38d137d0, 0x6edbfdfc, 0x64004310, 0x4053e97a,
+    0x42c4fd65, 0xe82e91e5, 0x1ee739a2, 0xa255dcbd, 0x44282f7c, 0xe0586ab3, 0x0413bee0, 0x980030ea,
+    0xaded46d4, 0xb401435e, 0x6d278022, 0x25439d9a, 0x5469530c, 0x48583f8b, 0x4edb49b1, 0x158d12f7,
+    0x26fb0ac5, 0x5b79bac8, 0xffe83f5f, 0xf71f24d6, 0x6a67704c, 0x92271639, 0xe1b1eada, 0x00666603,
+    0xef7a3f4f, 0x0168ef92, 0xdece4024, 0xdd22a848, 0xa4e6597a, 0xbbace578, 0x7b077f29, 0xc05414af,
+    0xa68f0529, 0xbc76021e, 0xcd50fb32, 0xc37dffec, 0x5fb7000a, 0x19508773, 0x20ff212f, 0x119b2a21,
+    0x12c20228, 0x25b562e9, 0x1e0bb07f, 0xf176e08d, 0xf0943633, 0xc4116317, 0x6b14c4c1, 0x56d81c2e,
+    0xae24c086, 0x759ea3ca, 0x7d8cc146, 0x22a683b8, 0x66dbde92, 0xd71ffadb, 0xe7333a1f, 0x79dc6b4a,
+    0xa2140a59, 0xb884e601, 0x4db9de3f, 0x1996854e, 0x75ce40c4, 0x02ed4f3f, 0x773edcae, 0xdec2b8f5,
+    0x5117e49c, 0xb3183d52, 0x72516bd9, 0x03e8f8f0, 0xb7ad796c, 0x454c91bc, 0x1b038e00, 0x0502993c,
+    0x1f9b4b61, 0xba6152b3, 0x6626ba56, 0x8531b87a, 0x4651ba89, 0xd1c36e3a, 0x28d908fa, 0xb6181469,
+    0xf4eb23a3, 0xb17ace24, 0x8b5f0bb3, 0x35c4d4dd, 0xd2469f22, 0xc9869cca, 0x1213648b, 0x96ee7d12,
+    0x0e06e5c5, 0x0939e45a, 0x75dc98c7, 0x5284969a, 0x2b086696, 0x7421c09b, 0x42c0c126, 0xc2d46fa3,
+    0xff645f7a, 0xae0f50cd, 0x79ee9b7b, 0x40029f09, 0xde2e489e, 0x1c1d70d0, 0xb65b84eb, 0x29245ef7,
+    0x40e6b79a, 0x5edddc86, 0x9e94f0b3, 0xb4444095, 0xd2aa1d58, 0xdda862fe, 0xd36d0b71, 0xd5829998,
+    0x33bfe63c, 0x91f4dced, 0xce728e25, 0x253915bd, 0x27d072c6, 0x444e3c9c, 0xebd87f0c, 0x4f67080a,
+    0x5b431fec, 0x64fe25f5, 0xe121e759, 0x258ed5b7, 0x3123de8f, 0x96d364e6, 0x085c3c63, 0x1abecab9,
+    0x2d3cbab6, 0x96fb3d13, 0x50b3187b, 0x174c36e9, 0x2ed9534b, 0x48c2715c, 0x62433958, 0x0c8d6dbc,
+    0xf7a880e2, 0x733557ed, 0x03259f3b, 0xbdc28b74, 0x4784126e, 0xd19e6851, 0xa4072fd8, 0x87020e2b,
+    0x9f8b9aaa, 0x26e11c4b, 0xc54a6fc2, 0x89c65aa0, 0xdb97fb5e, 0x01a5180c, 0x97113892, 0x03e9c117,
+    0xc5cc98b9, 0x40074cc3, 0xc1b5fe05, 0x349f8db4, 0x49058047, 0x370878e5, 0xaa0a5c8a, 0xc42b1427,
+    0x3978493b, 0xb4c5fdca, 0xa47aae3a, 0x98599903, 0xb2a1390c, 0x349bb8ab, 0x4cef8482, 0xe72d4b13,
+    0x88705430, 0x2be2d4b1, 0x4dbd1e6d, 0x8249f0e0, 0xbaa81165, 0x984960a5, 0xb55e39ae, 0xe7d77087,
+    0xd7e4216b, 0xf6095e04, 0x8d9b699a, 0xe41db202, 0x59e1fb22, 0xeb08d242, 0x768acd4d, 0xe4b6fa59,
+    0xbf307ca3, 0x8c57e162, 0x6467aca0, 0x0dcb0074, 0x653723d1, 0xabae253e, 0x0225e1c8, 0x2f8f687c,
+    0x7c7dafd9, 0x4ef40cd3, 0x7267a38c, 0x634345ab, 0x35fc17ec, 0x704887ad, 0xcb7b537e, 0x99309727,
+    0x0ab36093, 0x0809cdcc, 0x2435a566, 0xae08aca8, 0xcca0c4e1, 0x80ac9227, 0xaee2d2dd, 0x5dbbec7b,
+    0xe6f53410, 0x49b85f4c, 0x7f4783d3, 0x3b7364c9, 0x82bcf512, 0xd4cf61f9, 0x042fe3ea, 0x96d30348,
+    0x9fa1ee7a, 0xd4bfa597, 0x59132ffe, 0x68e00814, 0x6aa447cb, 0x28a2c933, 0xf2827cf9, 0x00e7ddd4,
+    0x62dd6526, 0x627dbdfd, 0x6f819c00, 0x1b57d9ff, 0x26901f3b, 0xd378a684, 0x0cac093c, 0x18e71776,
+    0xbad8c08b, 0xebf2a70a, 0xde84e253, 0x23ae3e9a, 0xa637fa37, 0x94ad087e, 0x62f4d1aa, 0xd6294744,
+    0xea571966, 0x3f361ce3, 0xe268c0d0, 0xf0edf951, 0x0a7db63e, 0x2410935d, 0x3abe61b9, 0x243b34e1,
+    0x18aeb689, 0x82d980ee, 0x70bc210c, 0x784df447, 0x35130d8a, 0x0885ffdd, 0xec5f7130, 0x9b847165,
+    0x0b8c8c30, 0xf07416c7, 0xfc8ed106, 0x1712440c, 0xcc7bb0ce, 0xa3617182, 0x4178eb71, 0x5913d3e8,
+    0x6f33dcfd, 0x218db9c2, 0xe946dc90, 0xf701394b, 0x3e2205f1, 0x6e500628, 0x6eb87d7a, 0xa8f0ddb6,
+    0x27c84a34, 0x42314a9c, 0x0cd1fc49, 0xcaad43e1, 0xbd9e24ce, 0xa3a148e8, 0xfbe4057d, 0x38142879,
+    0x06740db8, 0x084635c4, 0x5a835995, 0x717c07ba, 0x868c2735, 0xfb5defaf, 0xe372e9dc, 0x1511b10b,
+    0x54533d6e, 0xb7813265, 0x7eeb831c, 0x56735388, 0x55253447, 0x06aa80da, 0x534961c6, 0x9aeb0f4b,
+    0x4d0f7310, 0xdcdfc633, 0x0223268c, 0x87676a67, 0x2eec69b5, 0x6f0cb4b9, 0xad11c35d, 0xc70a48d1,
+    0xce9b00f6, 0xc047bf4c, 0x232465cf, 0x7341ef0f, 0x8881c073, 0x271fe92e, 0xf27b9877, 0x7db63981,
+    0x0a0d33b3, 0x571c8531, 0x3a769b7d, 0xe7a9f955, 0xcad8e446, 0xa6eb862c, 0x9612afb0, 0xf620d338,
+    0xc68f7f50, 0x69cd409f, 0x629f2c2a, 0x4accb186, 0xfed960e6, 0x5e20a148, 0x03e8425a, 0xfaa8471c,
+    0x02278b9a, 0xfb2cb75f, 0xe88f973f, 0x56c78a31, 0x66f7d999, 0x5df5ac65, 0xdb39673b, 0x50fb791b,
+    0x8e009fdf, 0x90170681, 0x06a7f3bf, 0xeb8f9353, 0x72213f3b, 0x6df11776, 0x208eadfb, 0x1c38b849,
+    0x1eb73c88, 0x4fd26c72, 0x59bd5c0d, 0xb239f948, 0x1cb764f1, 0x376a3603, 0xc8f35b09, 0xe40b4fcc,
+    0xf2395977, 0x0f7a94e5, 0xa8b7eedb, 0x2973f7a1, 0xf15b093d, 0xa25b6b21, 0x8ace9f4e, 0x0efa6170,
+    0x04a3af46, 0x391cc7ed, 0x3b6cff30, 0x69f1f658, 0x7ed79562, 0xcb982b06, 0x7912ada9, 0xd74c675a,
+    0x84773059, 0x1b42ceef, 0x13197024, 0x8fd16982, 0x5a9f6336, 0xd094a1f9, 0x4fb67e15, 0x41b9e01e,
+    0xd3fd708a, 0x288ad12c, 0x54b41237, 0x6147fa75, 0xa53b22ba, 0xc7283d40, 0x5e9246f7, 0x0680f86e,
+    0x390c7519, 0xbbc3467d, 0x98f448b9, 0xc0809af3, 0x6cf333bc, 0x668cc5ee, 0x1f681b19, 0xe7a3ace8,
+    0x9b107b60, 0x0e1bc598, 0x0a0d29ce, 0x5c4b1512, 0xf51cc596, 0x2701d426, 0x300b95f4, 0x2f425231,
+    0xa290bb3e, 0x39ef49ae, 0x70cbda16, 0x66341791, 0x31b865bc, 0xe53a5bdf, 0xa5b08e84, 0x4aed75d5,
+    0x17e304a2, 0xa5ca00b1, 0xb9d7409b, 0x5b9e7f75, 0xb709102c, 0x1fdbe46d, 0xd582967a, 0x8aaadb0d,
+    0x5c3d6b30, 0xd35a6a68, 0xc9a2cb53, 0xc484ae19, 0x46901238, 0x6c187661, 0xe8419184, 0xecb6d48d,
+    0xe5bdaf48, 0x61487b1d, 0x0c6b300e, 0xfa216bcc, 0xfe6c3ae4, 0x692bd6b9, 0xead6da36, 0xd2962898,
+    0x7f964b4e, 0xc9895fa5, 0xf8d5ea34, 0x0a406794, 0xfa246ee1, 0xe077d17a, 0xb710e2e4, 0x4b59bd5a,
+    0xd0fb7425, 0x03239b5b, 0x5344efe2, 0x48960950, 0x223b869f, 0xc2b6dee8, 0x26b070b0, 0xc5b2fd52,
+    0x87e337e6, 0x7b7d54fc, 0x6a790a8d, 0xb9a52cf7, 0x7f8a8065, 0xc434d74a, 0xd56c048c, 0x521fd048,
+    0x9f38e2ff, 0x0edc5641, 0xc5cdbf3e, 0x6fd2e501, 0x63e47c38, 0x6b6549df, 0x20798f21, 0x9080d1e8,
+    0x56eacf5e, 0x39c4a842, 0x79813f7c, 0xcaf70520, 0xe1c64815, 0x457b2f8c, 0xd10c54c0, 0xdca9ad0e,
+    0xfd926092, 0x87643bf8, 0x38d3c3af, 0x8d95b704, 0x80de154b, 0x609e61da, 0xb6ae8069, 0xab696cd7,
+    0x40bca450, 0x4e7756da, 0x293ba7ed, 0x52583dc6, 0x9b83c607, 0x4e91d10a, 0xc65b1497, 0x13c2e4ce,
+    0x0914eb6a, 0xc149005f, 0x66d109c7, 0xaef7ddf4, 0xeed2e8c6, 0xa0928a7e, 0x1bf4dacc, 0xb44377ef,
+    0xb2fe4d08, 0x55341d08, 0x3729fabf, 0xa44db83d, 0x66f60763, 0x2ffacc4d, 0x1fd4a402, 0xc9dac611,
+    0x79118a27, 0x2295977a, 0x22487156, 0xdd5a8b4e, 0x82928190, 0x0676fdc8, 0x3963875e, 0xe2068153,
+    0xee5895f3, 0x8fcf630e, 0x997747f0, 0xc012d746, 0x9e8e3fc7, 0xe5f10f9d, 0x0e2dc1ff, 0x9f5976c9,
+    0xb2ba3288, 0x0979b8d1, 0xc72072ee, 0x78b9fb45, 0x4e1ebb4c, 0x346f5e12, 0x55109263, 0xf4f01f24,
+    0xc592b365, 0xab9c8819, 0xb41c83f8, 0x834eb114, 0xa8137973, 0x38f04c79, 0xfebce7c8, 0x3ff935db,
+    0x78dfe156, 0x27823128, 0x990f9022, 0x71b90b20, 0x59bff5bd, 0xc04a04d0, 0xa21b8dfe, 0x3a71d68c,
+    0x9c084cfe, 0xe757c422, 0xe9e7cfa3, 0x5750335f, 0x3cbb17c8, 0xfb85facf, 0xb67c4153, 0x61c39d0e,
+    0xbad1952d, 0xcedfab7e, 0xd2497435, 0x9b063f90, 0xa8b3d5e4, 0x456e0c56, 0x51711d7f, 0xe1f99196,
+    0xaafee54c, 0x9e0add6e, 0x72ec18ef, 0xdba79a96, 0x3f347d70, 0x0a13b156, 0xfd592d3c, 0xe18da943,
+    0x01347db6, 0x8091f91f, 0x1725357f, 0xc667252a, 0xa61bca08, 0x20fac6a0, 0xf0b535f6, 0x42817ef3,
+    0x84a92562, 0x893d4935, 0x06e80291, 0x7a7fd121, 0x08ada283, 0xff8883a8, 0x7729a9c0, 0xdf5667be,
+    0x00000000,
+    0xf4dafdb3, 0xe492bf6f, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000005316911983139663491615228241121378304 */
+  { 0x00000000,
+    0x006fd21d, 0x1d75b4ec, 0x14a08a1d, 0xb992b556, 0xed7fe973, 0x09507a1c, 0xedde9860, 0x3a8ecbc6,
+    0x8bac0b1d, 0x2753ec39, 0x0bfbd83b, 0xc83660c6, 0xc3d33949, 0x63b31614, 0x3e0f5c18, 0xa847c3e5,
+    0xa0070038, 0xfedeb8c7, 0x1da5921b, 0x09b67499, 0xd49fc1fd, 0x996ca910, 0x20b2eb4e, 0x45f40b23,
+    0x6312481e, 0xf82cb0f7, 0x1bed22c8, 0x9679cb39, 0xcfa462bc, 0x0404d6d0, 0x7dfb4082, 0x40da848e,
+    0xcba567fc, 0x4b23a384, 0x9987b448, 0x16085432, 0xab0db90b, 0x6f83832c, 0x199a9eaa, 0x628da9a6,
+    0xf2f4ded0, 0xf8d4d8f4, 0xc56edc39, 0xaa1a4c70, 0xc10e0cc5, 0x8ce55bcc, 0x42c04e16, 0x40b8bc5e,
+    0xa6167815, 0xeb348d84, 0xfa88ae50, 0x4769d569, 0x5dc3f509, 0xa82aa49b, 0x676f1bb2, 0x32b8229b,
+    0x0eefd3af, 0x837fda56, 0xcf231c27, 0x02930661, 0x8d6ee95d, 0x14de2b3f, 0x8cf0db7c, 0x94bf502f,
+    0xf356d20f, 0x89b4c4bd, 0x0d20840f, 0xeb76fe8b, 0xb92dd1fc, 0xdbf1274c, 0xe91fc18a, 0xe34e4bb4,
+    0xac3207d3, 0xdb20030c, 0xeca2fa6d, 0xbf666de2, 0xcf80cec3, 0x1b8a5abe, 0x3d434167, 0xde6b6985,
+    0xba71f271, 0xcd08f76e, 0xd553a13b, 0x2b488739, 0xb1fa2f98, 0x9388599a, 0x49d4026e, 0x7254d9f1,
+    0x6110f243, 0x2147ab98, 0xb97d9626, 0xa4f6a45f, 0x63d38d73, 0x5f5c4748, 0x057a56d8, 0x90f4947a,
+    0xead9ae95, 0xed8daf4c, 0x9b60e6a9, 0x499b3f6b, 0x828c55a0, 0x3b1cbd89, 0x1c4020d6, 0xab904582,
+    0xb39d49d4, 0xf59b7896, 0x6b7c00a1, 0x03ea5d87, 0x839dcaad, 0x45816d6e, 0xfbe9eb18, 0x0465cc55,
+    0x20a3ad46, 0x0f967025, 0xe5c0d025, 0x24985f50, 0x75ce4aea, 0x4c14ae68, 0xe1da84b8, 0x9e131a94,
+    0x9bfe6d04, 0x69012ca2, 0xde3cf6b9, 0x34be2165, 0x24bd9e9c, 0xf6cd14f9, 0x7d288e57, 0x2117eba4,
+    0x20006fe2, 0x9722067f, 0xab855fdc, 0x480e7ec5, 0xb4921e6b, 0x29f2050a, 0xf2a39b8d, 0xdacbc6c3,
+    0x1826d472, 0xb8d5b70d, 0x67ed49d1, 0x9648e1a1, 0x48eeaa15, 0x7add3649, 0x2062a9c1, 0x2fa680e6,
+    0x61d06319, 0x9ab73bf7, 0x1f36e6b9, 0xe8ee576d, 0xdb34f794, 0xfc80c8b7, 0x62649ab4, 0x0e1b6a2e,
+    0x5ae6f71e, 0x645559c5, 0x9cac717c, 0x041efc5f, 0x4caef32c, 0x8de02881, 0xcd9a2135, 0x5802a011,
+    0xf75705fc, 0x49a104e2, 0x3369ae47, 0x50fc6000, 0x3709baf6, 0x843d9fc6, 0xed10d2b8, 0x7f182d63,
+    0x62413390, 0x62e5a3e7, 0x3a01170d, 0xf6b6c959, 0x978a7d0b, 0x25cd685b, 0x13f3d27b, 0xc3acb407,
+    0xe7515170, 0x6c0aac65, 0xe0d170f9, 0x82d40963, 0xb1f73c72, 0xdf337737, 0xf82bf5bf, 0xc31ea8c8,
+    0xcdbd7c3d, 0x35c52302, 0x6e416295, 0x7ece6534, 0xe544cfe6, 0x4f2da159, 0xf55332a9, 0x4e79e929,
+    0x7265b59a, 0x887930e7, 0x82dc7643, 0xb7817c70, 0x95183b89, 0x65c86401, 0xbe3b6c11, 0x08964af6,
+    0x84ef3a24, 0xb08dbc39, 0xca4b231e, 0x0e53a4b3, 0x207d3bc8, 0x4e5ecc74, 0x598817c6, 0xabc43c9d,
+    0xf1bf2feb, 0x3ef083eb, 0x8ba5f1a8, 0x86dd9a0c, 0xe8a0105d, 0x28e46dd4, 0xc0c221a6, 0x24d3facd,
+    0x09f4aff9, 0x8b2dacee, 0x459ba77c, 0x11cfd4e0, 0xe54742f8, 0xf142cadd, 0x4640b07e, 0x124c1503,
+    0x8b5dfd82, 0x2bd55cae, 0x8f5e0bd1, 0xd261bbd5, 0xaf544035, 0x3a6177a2, 0x8bd656a6, 0x34895ed9,
+    0x92cad87f, 0x49036970, 0x4789d9d4, 0xd1563037, 0xd495c1e3, 0xca584775, 0xc58e45a7, 0x128e61c8,
+    0x69f1b910, 0xb5098b66, 0x79507c4f, 0x690ffbdf, 0xf24b15a0, 0x0455bfde, 0x07ab0f3f, 0x53750ca8,
+    0x08b8243b, 0x73848d40, 0xb2d84119, 0x8edb23df, 0xa62abbfb, 0x64a829f2, 0x22c81015, 0x63322779,
+    0x3c7c8303, 0x4b988e3b, 0xd4cfd599, 0xad2f758d, 0x45d44465, 0x7049c3ff, 0xe30d673b, 0x6fb9815f,
+    0xdf0382d9, 0xabec20c1, 0xfb93420a, 0x6d9b39da, 0x3140a4c6, 0x674693df, 0x9e894d6c, 0x261b4572,
+    0xf092b006, 0x6103e2f9, 0xd372e9b6, 0xa1752e4c, 0x803326d4, 0x5915096a, 0x572a12f6, 0x0ff998ea,
+    0x6d098cd6, 0x96b430a1, 0xa3360e2b, 0x02818e5d, 0x21994efc, 0x8e9deb77, 0x1ee64c2c, 0x10d83a86,
+    0x4967c13a, 0x94bb2f6a, 0xee20d0ff, 0x9cd0a500, 0xb140f13b, 0x86c416f1, 0xa225e17c, 0x545a4863,
+    0x8142ddd1, 0x3301e850, 0x8a7fb115, 0x79f57984, 0x51cc212e, 0x2e923e93, 0xe70cab23, 0x6e43a385,
+    0x7d49773d, 0xbbbd703e, 0xa00f8581, 0x1be39d5a, 0xd7b9d1f4, 0xb5d52228, 0x88dbef12, 0xc2af8b16,
+    0x9318de63, 0x99a1deab, 0xd9a05353, 0x21f889fd, 0xd50bb0ff, 0x285a9bc3, 0x8675f8b5, 0xb53b53c7,
+    0x9cab84d7, 0x97f41e71, 0x0b1679b6, 0x518463ab, 0x0a020e9a, 0x8d8e7f7e, 0xe718be7b, 0x3c3c3270,
+    0x08f4cc21, 0xbc1d3c89, 0x447efdf5, 0xab4b9319, 0xec14672b, 0xafe38cdf, 0x5c1060aa, 0x9770c58d,
+    0xa54ed6a0, 0x4e4a2493, 0x0910d2c7, 0xf8290a2b, 0xa3d82615, 0x569b8299, 0x9974654c, 0x211aa815,
+    0xd0221b83, 0x82c21bfe, 0xfb91b2bb, 0xd23bf039, 0xde714af0, 0xc4a60796, 0xe10fb442, 0x7fccd779,
+    0x91eeaab7, 0x0c8d84c3, 0x4dfecacf, 0x878082e1, 0xd98f9e62, 0xaa77bbc9, 0x1d4edde5, 0x844c6544,
+    0xea022973, 0x238da8f4, 0x3b16c330, 0xcd5ab50b, 0x283b2c8c, 0x7ede0318, 0x5b5a7c5c, 0xd8a5a269,
+    0x2ff5daa1, 0x5c7e5f23, 0xc10f7b1f, 0x186f464d, 0x9aa4cc1a, 0x94fba677, 0xa35e7f86, 0x9ef6b44e,
+    0x11f8294d, 0x599f88da, 0xb5d5a7b0, 0x9656fd33, 0xd457c882, 0xeef2b0ab, 0x210e8d6a, 0xf2a2ae0d,
+    0xd6fedc0a, 0x3988b9bd, 0xa73fd92d, 0x7adf029c, 0xfe9f94d7, 0xceea8a0a, 0x05d7cc12, 0xe27f8247,
+    0x8b57776d, 0xf702e529, 0x1a10b5a7, 0x1616bdf7, 0xda88d7e3, 0xc5dece15, 0xcbda4f1e, 0xcb7dd497,
+    0x3210f173, 0xb9cb4781, 0xae71fe77, 0x02c3f940, 0x395e8e71, 0x6078fc4f, 0xd86b844e, 0xd1a2de19,
+    0xd3dcf0a5, 0x935ddbf0, 0x622b5d56, 0x89656215, 0x113d8774, 0x05f7ce84, 0x02fe7b4a, 0x4f030c0c,
+    0x8d4b44f3, 0x7fb1593e, 0xbac4c6d7, 0xe79527e3, 0x9794bf9d, 0x2798bf0c, 0x002cdd5a, 0xd057e605,
+    0xb5539089, 0x96f3e61e, 0x6689576c, 0x4f978b78, 0xae788a53, 0x8ae0321c, 0x7f8f7259, 0x652e8a60,
+    0xe311051c, 0xd0d55d96, 0x7b258499, 0xebbd468a, 0x58d02c00, 0x4283bad0, 0xa33162dc, 0x62132be9,
+    0xd925b805, 0x9642bc5a, 0xd8c4c72e, 0x58315b91, 0xc48d547d, 0xc7dd1432, 0x9e9d31d0, 0xee73152f,
+    0xafb81855, 0x4b1ad529, 0x1712910d, 0x95def263, 0x1fc1a433, 0x05827cb5, 0xf9bff7f2, 0x065eae03,
+    0x08287a76, 0xcba84f5b, 0x6c3476ed, 0x61b0408c, 0xa24604a6, 0x2e244518, 0xf05a4f05, 0xc38e8d73,
+    0xdcdb15ce, 0xff783fde, 0x5a44d90d, 0x180b72ed, 0x1f62d806, 0x7ad0d385, 0x6bc7956b, 0xdf593738,
+    0x9f491646, 0x828906a3, 0x0e12b1e9, 0x15a36034, 0xe5356b05, 0x546df6e0, 0x6c5c593c, 0x6a89fce4,
+    0x4878b5b8, 0x4bd610ca, 0x8f28c388, 0x3694ef88, 0xd948829b, 0x01337385, 0x8d5fc94d, 0xf73d851b,
+    0x560025f5, 0xe237851d, 0x4ef2b516, 0x0a43c826, 0x9e5b123d, 0x045f14e7, 0x954b362f, 0x7f32720e,
+    0x3aba5491, 0xfea8994b, 0x9b7278d6, 0x8b66404b, 0xcdbe25de, 0x7de8fa70, 0x9eb50c1d, 0x483b8477,
+    0x0e0c2ebd, 0x2c7dbc3a, 0xbbccd077, 0x1320741e, 0x0c102b5b, 0x587a0d68, 0x409fc9ce, 0x624810a4,
+    0xfea6bcc2, 0x6859805e, 0x140e6c8a, 0x14aa941a, 0xcb8eb7ee, 0x015a548e, 0x92196a4c, 0xef323610,
+    0xcdb92bf0, 0x560c00ce, 0x002a161b, 0x7dfd5b8c, 0x559550fd, 0x60302e54, 0x0ec9ff29, 0x6a8022dd,
+    0x7f1449a4, 0x18d321c9, 0xf47b70db, 0x0110415d, 0x7ee45eb4, 0xb881d430, 0x9e86c5d6, 0xeb5feac3,
+    0x384f30b5, 0x4ce4941a, 0x007000a4, 0x4a5f8719, 0xaeae8057, 0x3b53672f, 0xace1ae67, 0x13520ac5,
+    0xffab2d1d, 0xe33fb1b7, 0x8ce02a60, 0xbcaeac2e, 0xb5958ac8, 0x2a4b6e2e, 0x92d6aa36, 0x5a7fcd26,
+    0xefe0752c, 0xb13760b1, 0x4ad73331, 0xcedaa5ec, 0x827cd0e1, 0x72f62ca3, 0xfb6056d1, 0x2fdd827c,
+    0x1aec96b4, 0xb2d311ea, 0x307b68e6, 0x6c65c811, 0xa87a6ad6, 0xa71213bd, 0x216fa7de, 0x5a0d32a1,
+    0xa84c07f8, 0x3105f235, 0x000a3a4b, 0x2e0df27a, 0xd378dd80, 0x8ff61005, 0x85e64f1e, 0x67346e43,
+    0xb57e9bd9, 0x4304bd96, 0xd6e5edfe, 0xe4eb47f1, 0x0448380e, 0x8b2dcffa, 0x1b30e35d, 0x4a6a2775,
+    0x3634a285, 0x675d38c8, 0xbad88bda, 0x990c5c60, 0x94391359, 0xf517ab51, 0x431f2082, 0x4b99c548,
+    0x31936b40, 0x96383dca, 0x8a312159, 0xab428fdf, 0x9616a250, 0xa4d83b41, 0x41b9f8cd, 0xfd48bbff,
+    0x32ea1f78, 0xd4a57b18, 0x25c34035, 0x90b1aa53, 0xabc1e83e, 0x23291ece, 0x4038a67a, 0x3257d0fd,
+    0x39002941, 0xcf52e656, 0x3f6a7435, 0xaade3725, 0x12a7ce4e, 0x4bdc5053, 0xd73b1ae7, 0x3d870467,
+    0xc36f44dd, 0x20809083, 0xbeb5e23a, 0xc346969e, 0x8286f37c, 0xf0690163, 0x31692249, 0x121971fa,
+    0x76ec7645, 0x70df005d, 0x0df9e608, 0x3800bb98, 0xc49b6893, 0x9357ee6e, 0x0a2e2d6b, 0xdee1f1fe,
+    0xcc42a231, 0x0fdcad13, 0x63d8e165, 0x59fa8b3f, 0xdbcbe5f7, 0xa8c3a9b5, 0x94a79fc4, 0xb811a78f,
+    0x19a3e10f, 0x8a3873ad, 0x6d799292, 0xc33bfa58, 0x782d7673, 0x291948be, 0x5b0868ca, 0x44cf822b,
+    0xb79539f2, 0xdc6b3bb9, 0x1405b6bf, 0x7a825cf9, 0xb9a6ff3d, 0xf2c14318, 0x61e72bd3, 0x8642d66b,
+    0xde53cd63, 0x8a7108f0, 0xf44378f4, 0xa4193e85, 0x8350f3ab, 0xe9c891cb, 0x7026d92e, 0x780511ab,
+    0x5bc4fef7, 0x265e78e4, 0xd2a82afb, 0x8404e5c8, 0x49542e5c, 0x15040805, 0xc835391a, 0x4c70ed73,
+    0x52086894, 0x1ee2ca4a, 0xc739fd7e, 0xaca2db6a, 0x7f9dad63, 0xaf1dac92, 0x0a3b1c43, 0xf6d72f69,
+    0x736cd761, 0x864c71b3, 0x35fdf266, 0x74437ead, 0xe858ad98, 0xe9cd2742, 0xcf74c395, 0xccbcab71,
+    0x3cf98584, 0x5af83e2d, 0x74621990, 0x4256c629, 0x6f138d6a, 0x3e9fa83c, 0x25e73b4d, 0xcf8925d1,
+    0xe2def60c, 0xc7ee9681, 0xb96d84dd, 0x1e3afa18, 0xc4367555, 0xb22cb585, 0xd56c5bd7, 0xfe35d982,
+    0x7e47801b, 0xbbfe843e, 0x0be62b84, 0xb5791a3d, 0x56e525e4, 0xa81b9d3d, 0xddc4b275, 0xdaefed59,
+    0x0e8187f7, 0x1a99de56, 0x10112cbb, 0x0431ac2a, 0x23617bf8, 0x9b4fe17a, 0xd45bd856, 0xa894aaec,
+    0xbfd072ce, 0x5453dd02, 0xf2e38433, 0xf4e22d14, 0xb3106039, 0x4a397f9c, 0xa3c1700b, 0xda7f5a97,
+    0xd3dc6bf2, 0x5e8a3b51, 0xc811c3c1, 0x7cac76a7, 0x5acc542d, 0x3cce5842, 0x1f550c20, 0x10deae08,
+    0x2567fb41, 0x9e0ec37f, 0x621f44c9, 0x9c7a854f, 0x2afc0d21, 0xefdb0838, 0xaeee7d14, 0x76d7e732,
+    0x18964da0, 0x55bcce8a, 0xd90d18ea, 0xd1c9a0fb, 0x124e5a0c, 0x98e195c7, 0xc28b99d4, 0x050ba658,
+    0x2e840bb8, 0x0cf7084f, 0x1ef9d5a4, 0x6c30e078, 0x3b843905, 0xf4d10b2c, 0xd1db4d28, 0x66f48584,
+    0x40561c7e, 0x7d879c74, 0x2c5737e1, 0x150df044, 0x1c521dd4, 0x6e748cd0, 0x16f80cb0, 0x2d74860d,
+    0x986242a6, 0x60358ded, 0x73798912, 0xcd4825e6, 0x8fd6c25d, 0xaab9cae2, 0x0c4fa0be, 0x7bcc7fe4,
+    0xf9a9d1d5, 0xb38697e8, 0xace2536b, 0xcd109d15, 0x1c3e4977, 0x4d193744, 0xc3a4a532, 0x46423dd3,
+    0x9e552cb2, 0xa345aa8b, 0x71a302ee, 0x978c67ea, 0xe2eaf5a4, 0x21343aba, 0xa02704af, 0xe19b7fb1,
+    0x63ef0887, 0x8d411e67, 0xae09cec3, 0x2bf7f036, 0x91bf6dd5, 0x1e051940, 0x887e57b6, 0xf7e914eb,
+    0xc1ca19b6, 0x514a1c87, 0x9438b231, 0x6787a9e6, 0xfff37cc3, 0x65319f1c, 0x4f5da6b0, 0x273afa5f,
+    0x9acb4e15, 0x56cdfe30, 0x5a91e8f0, 0x1454f6ed, 0x8d4404e5, 0x08131625, 0x19027ab6, 0x708fedd8,
+    0x9070c6e6, 0x23b8f1b2, 0x5b266285, 0xe81dc98b, 0x944f1467, 0xb7a2f679, 0x5ab13a84, 0x5181384b,
+    0xea2b2561, 0xe4e904c9, 0x738f9121, 0x6a493b33, 0x2dc79090, 0x564990f4, 0x259f8eaa, 0xc2b5ad70,
+    0xb97938a1, 0xe2d1bd64, 0x51207d68, 0x2b4fd10a, 0x0b0fc683, 0x6b098ed0, 0x7cccad05, 0x98f117bd,
+    0x63652f3c, 0x2da60e5e, 0xac016592, 0xd33fc597, 0xb103aff0, 0x0f0a7586, 0xd1bc5311, 0x68746282,
+    0x5df6381b, 0x86446429, 0xb7ef5891, 0x87e97e2f, 0xd28b0145, 0x328d9da8, 0x3a8b48f3, 0x8c8a4d29,
+    0x1e3df4ae, 0x321b8890, 0xedde59d2, 0x86e7d23b, 0xb7072f07, 0xc94df830, 0x1f276d65, 0x816eeb75,
+    0xee2afc7e, 0x37d31cc1, 0xb3c87f35, 0xd0f31ec9, 0xd923abfa, 0x06206f9b, 0xc542bdce, 0xc8513f20,
+    0xd904449e, 0xa2e95eea, 0x92553883, 0x752a8f4d, 0x5e22ec34, 0x1e4e111c, 0xb0b09b01, 0x7564d37a,
+    0x4a951df4, 0xd28c7fff, 0x413e5005, 0x2b5e4cda, 0xa32c252c, 0x0a480f9a, 0xac61b547, 0x8f2e9cbd,
+    0x5e4c85d1, 0x076e2956, 0x48332639, 0xc49e0080, 0xf4ac9b1e, 0x7a5593c8, 0xe43384ba, 0x5449b86e,
+    0x003b5731, 0xb732ba3e, 0xcf054598, 0x0439de96, 0xab4d0fbc, 0xddb11fc9, 0xb69ae2f0, 0xeb3f91c6,
+    0x99fc6bc8, 0x04a81736, 0x6d76604d, 0xe8a0424a, 0x22d1fd5e, 0x5bb1b128, 0xbd40612f, 0x5c4f9490,
+    0xccebcf07, 0x43f19ef4, 0xc08f042a, 0xa7596d05, 0x333f7344, 0x08fea5a7, 0x2bbe426a, 0x9320431e,
+    0xdaa40028, 0xcbdccb49, 0x2eed5826, 0x5262c45c, 0xd8b74e22, 0x28dfc7c8, 0x068a5275, 0xfeb262b6,
+    0xf28f27f0, 0x23778585, 0xf91b87dd, 0x678e9fb5, 0x5b443555, 0x10340592, 0xf97f4c2a, 0xb6aab109,
+    0xd6a55ad5, 0x04e4c856, 0x7f8b66f6, 0xc1dba890, 0x47ced0d7, 0x01cfc74f, 0x9a58dc40, 0x4e3d6e51,
+    0x812b103e, 0x57ba1e7b, 0x36840891, 0x5e7012a0, 0x56b2138f, 0xffa25364, 0xc56e5ad4, 0x2e942a88,
+    0x8510da2b, 0xbffa0736, 0xedacaac7, 0x8585c367, 0x93298769, 0x588dfff9, 0x2dad73bc, 0x3278e865,
+    0xe9a3bb4a, 0x5dca00f3, 0x8c1ba3cd, 0x1e5796a1, 0xdc05f906, 0xbc5acd69, 0x4dbc4ada, 0xe584aed5,
+    0xb4f8f935, 0xeb26852b, 0x232eaa9a, 0x3dc65fd1, 0x1c2edd1a, 0xf42b6e3d, 0x53ab8191, 0x9ecad096,
+    0xc6937c36, 0x46aa9e34, 0x140ded70, 0xa8c8780d, 0x90b961b6, 0x20e54b83, 0xfe882d38, 0x95e52acb,
+    0x5d0492d7, 0xb23ff7d1, 0x64c85f47, 0xab72261d, 0x196dea11, 0xe7b34397, 0x8d1397ac, 0xbe60f7d3,
+    0x7cb462c2, 0xb861d13b, 0xd7a9b437, 0x0da68516, 0xa14c2203, 0xf063688c, 0x99f5d827, 0x5fed9882,
+    0x3f415e52, 0xb9954b86, 0xacfffc69, 0xaaa76a6d, 0x18aa377f, 0x3a4f7cf1, 0x8d9dfb18, 0xa913d75a,
+    0x00000000,
+    0xfa6d7ed9, 0xf2495fb7, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000002658455991569831745807614120560689152 */
+  { 0x00000000,
+    0x6685b3b4, 0x975b2552, 0x8d30ecd9, 0x5173c510, 0x84b59cae, 0xd3c20b11, 0x461695c0, 0x9ad004c7,
+    0x5a8ddc9a, 0x8df57760, 0x7f4da314, 0x88da9195, 0x20db8073, 0x806db1d3, 0x0ee45800, 0x893f0ecb,
+    0xb1c658b7, 0x58a19586, 0x71f2506a, 0xbed9562e, 0x7388d8fd, 0xe62fb041, 0x7c88479c, 0x9d180e4d,
+    0xb08e53dc, 0x12efc83b, 0x3f224500, 0x26f1dffd, 0x6d60eca2, 0x23ab219f, 0xe5a402c0, 0x3537a0b7,
+    0x1f00445a, 0x4ac6f932, 0x3967e535, 0x75118348, 0x98ae7bd3, 0x58f361fa, 0x9ea1715d, 0x4c8f789e,
+    0x92adcb92, 0x572332ec, 0x9f6a7950, 0xbecb0686, 0xc8ce7b82, 0xfba6268f, 0xd09b911b, 0x7b0e51a2,
+    0x0df983d6, 0x9202ce08, 0x30f12b14, 0x2d1eac09, 0x0fe57189, 0x6e0cc643, 0xe208f806, 0xe350218d,
+    0xa24cad30, 0x570397a8, 0xf0becc2e, 0xe896dead, 0x3a5126c4, 0xc12fbe4f, 0x5689dafe, 0xfd2f473d,
+    0x466ac0d2, 0x312bc6d4, 0x12d35bb4, 0x2a1870e2, 0x86715945, 0x0d62e8ec, 0xb024acf0, 0x785025e9,
+    0x55e64547, 0x04db48f4, 0x71a8ef17, 0xe8f360b7, 0xda069b72, 0x082bebea, 0x96c5f1c4, 0x0c07dbde,
+    0xe0d58eef, 0x71027fb5, 0xc3da60aa, 0x60cef4e0, 0xfd09d8aa, 0x4c46ffce, 0x92826beb, 0x06fbeb59,
+    0xf9af61b3, 0x64db3eff, 0x623ba164, 0x80b79ea5, 0x56ebd3ed, 0x2253f3b0, 0x6856fa6b, 0xfcceedbf,
+    0xa390c13f, 0x5542f2ae, 0x3ed0210a, 0x584e42ca, 0x344e2e22, 0x911b331c, 0xafd7d8a3, 0x96a0a67d,
+    0xd116d21a, 0xf9e142d2, 0x5b9ac983, 0xc04c94df, 0xaa553379, 0xf67b2208, 0xf4b549ab, 0x3756e92a,
+    0x8b008d84, 0x91c86b86, 0xacfeac07, 0x91d96061, 0x0e779069, 0xe8ddb947, 0xfd4d2072, 0xf72143ac,
+    0x2568a370, 0xcbe1f309, 0xe30a8a95, 0xfbaec7bf, 0xd41be069, 0x16f33ba7, 0xbd5d4473, 0x3b123b7c,
+    0xb1966666, 0xbcfcb44f, 0x7a0946f7, 0xbfad0f40, 0x90e8737a, 0x78551798, 0x7ca3406f, 0x76bbfe78,
+    0x8c9e0c2f, 0x3fc886f9, 0x0defdd98, 0x34153930, 0xa4505b39, 0x3c529a46, 0x2c0039d0, 0xecf708f9,
+    0xea9a4a4d, 0x113842fb, 0x4754e8bb, 0xa54697d2, 0x4922aa5b, 0xd45a09da, 0x6c7482a4, 0xec4222a6,
+    0x5a1a9a5d, 0x0d97813a, 0xeddb97f7, 0xa5338fbd, 0x12764fd5, 0xad8a5173, 0x4127e4f5, 0xad98275e,
+    0xc5d0c283, 0xa72ab65e, 0xbaf57c0c, 0xf288ad78, 0x78805446, 0x889c6359, 0xb2d5ff15, 0x0676742b,
+    0x915a17c1, 0x66e8aa74, 0x1f97096c, 0x9c0f6b71, 0xc7957f78, 0x44049b57, 0x09ba7072, 0x5a34b1aa,
+    0xec570605, 0x417a6032, 0xf08b89b2, 0x3f54a61d, 0x03f85982, 0xeb65849b, 0x1fbf7773, 0x50643334,
+    0xaa022765, 0xcb8b5065, 0x5a959f62, 0x02fc523b, 0xf6a4b882, 0xee51e4cf, 0x6d3bed6f, 0x072fa91a,
+    0xa259964b, 0x49c531e5, 0x6c8f5c05, 0x117ed747, 0xe2296dea, 0x8a4d2b62, 0x16b27114, 0x13767cfc,
+    0x94755db5, 0xd324d832, 0x536dcf9a, 0xf294a444, 0xe6b64868, 0xba1f24f1, 0xdd3147aa, 0xea738220,
+    0x15cbb700, 0xf3367fa0, 0xb081dc23, 0x4eaf7eb0, 0x304d57b1, 0xaea0d612, 0x79469f63, 0x23784eb8,
+    0x6589c90c, 0x56591f36, 0xf4f23394, 0xb32e4ab2, 0x80360044, 0x5e71ca3e, 0xb07bba3b, 0x2a214af9,
+    0x8dc9e69c, 0x15805745, 0xcd86cec2, 0x30ddea7b, 0x76dd8078, 0x26b7b64d, 0x286fc917, 0x7efa7f0d,
+    0xe647f05d, 0xf05fba54, 0x91f72aee, 0x5cfeba71, 0x68ea1e72, 0x04483d96, 0x418df9f7, 0xb9521580,
+    0x745028a4, 0x60bc7d50, 0x428790a6, 0x62f428fd, 0xf057aa1e, 0xd5f67161, 0x135a0e62, 0x30ac2b01,
+    0x62c23a88, 0xa3aad0cd, 0x033e91dd, 0x170a6ba1, 0xd955e576, 0xc711d0f2, 0xe84772fd, 0x0707c637,
+    0xa8111b4d, 0xeb5e6ed7, 0x4b5e4eba, 0x3d874930, 0x517ad88e, 0x7d6f8b35, 0x2050e4fe, 0xfadd2c40,
+    0x9715747f, 0xb360a0e0, 0xfb48d3ad, 0xb31584ca, 0x04b7e719, 0x096057f8, 0xc792e9d9, 0xebe257bc,
+    0xe8c971bd, 0x0dbf75a7, 0xbccfc50d, 0xacc5d586, 0x2a826eb6, 0x047bef3d, 0xbb2b1969, 0xee8aab3a,
+    0x0e74ee25, 0xc4bd6f59, 0xac2e52b8, 0x35824260, 0x1293d2c9, 0x5c8039d9, 0x71d53b43, 0xb6894815,
+    0xc5ceac29, 0xf7ff33de, 0x9949aff0, 0xfa6c4d34, 0x56920c29, 0x8a1880a2, 0x1e2b3089, 0x6bdfba73,
+    0xf6adc052, 0x3303956f, 0xb8a186de, 0x24ed9bc9, 0xe6ab8a09, 0xbb5eb978, 0x10323583, 0x53ba839f,
+    0xabe847a3, 0x3847c9c8, 0x57bb62cf, 0x987adbf4, 0xa0d8b6f2, 0x08dd1872, 0xb7e7f15c, 0x276f5cd0,
+    0xd1488202, 0x8a77dfd5, 0x45f2bf7b, 0xfebbf576, 0x8efe19d3, 0x74af392b, 0xc1e4930f, 0x15b53885,
+    0x4ef101fb, 0x2bfe8e5e, 0x18e260c5, 0x97d69f3a, 0x3a666609, 0x7ad1fb9d, 0x35efc4b4, 0x66bf69ae,
+    0xf0348d0d, 0xaa077ade, 0x61cb4cac, 0x1b20f14b, 0xc607564e, 0x4ad68496, 0x401e87d2, 0x06fd4bf6,
+    0x72d4558e, 0x5200764a, 0x18ad81d8, 0xa34bdb22, 0x4c8f922f, 0xdb1ce433, 0xbf77f9a0, 0xe7a25aab,
+    0xd69a0c81, 0x000cf4bf, 0xf345bfc1, 0xbe3fd92d, 0x311b14b2, 0xa5b4d30a, 0x4fce4884, 0x97453831,
+    0x93bb327a, 0x6cb980b8, 0x7f57d011, 0x919928d4, 0x5546341f, 0xe6ff3c63, 0x6154f45a, 0x7f45f214,
+    0x6ea05aa0, 0x7d288702, 0x14da717a, 0x9a6acfdc, 0x5f7e87e5, 0x89ec7259, 0xc9f8d07c, 0xab76476a,
+    0x6918ddc9, 0xeb8e314e, 0xbd9547dc, 0xc81d6f2c, 0x00aa4132, 0x66665c41, 0x5dbf03b6, 0x7775ecad,
+    0x388edffe, 0x34dc097d, 0x4de53d5e, 0x1ee4cf9e, 0x38a94486, 0x29cc1a42, 0x6303c827, 0xa27c396b,
+    0xc643faa7, 0xa0d01adc, 0x769b1692, 0xc6fc8bc2, 0x951d0fa7, 0xec934b7b, 0x6cc5c3ae, 0x4d8049b3,
+    0xa3b44aed, 0x952591da, 0x53267fa2, 0x3aeaf669, 0x4a1695c2, 0x5e2d5e4d, 0x41ebe171, 0xd21b35ee,
+    0xd4c1dc7c, 0x18c72ffa, 0xbbd7e68e, 0x5c3a3529, 0x505f5f6f, 0x932e3538, 0xbb6d15bc, 0xf3f4f55a,
+    0xe28d9fdb, 0x088a64e0, 0xdf18ed9c, 0x4541bee4, 0x43d94ab6, 0xc7da548e, 0x0ab139d0, 0x30522eed,
+    0x0feab4fd, 0x2f7e375d, 0xa68e9d7f, 0x2a00b4e7, 0xad320a30, 0xc81c761f, 0xd980efab, 0xf088e0d5,
+    0x3d544bc1, 0x2a4272bf, 0xc23ed32c, 0x7e6e5a88, 0x51b7a4da, 0x3d9748c9, 0x5f974dd2, 0x180cd54d,
+    0xfed7c8b3, 0x65d1bcf4, 0x279cf09d, 0x4ad3e4e0, 0x1013f70a, 0x17f67cb1, 0x4a24b4e9, 0x80b67571,
+    0xaffaa6bc, 0x4cf2539d, 0x0063f63f, 0x6708f6f2, 0x48a65dd3, 0x708afbad, 0x24a2e78d, 0x7ed9772f,
+    0x56e2e94c, 0x3cdc1274, 0xec876a9f, 0xafd79552, 0xa3fa9c24, 0x0afcdd0f, 0x4eb85f9e, 0x7ca00341,
+    0x59624e60, 0x72337746, 0x594fb894, 0xfa7ff9a7, 0xcc16f685, 0xca0d034b, 0xc3aef2bc, 0x59adfc12,
+    0xad69c295, 0xd1723f13, 0x9abaa225, 0xb4509c32, 0xc6734682, 0xe5f191b6, 0xf1d6e73c, 0x6839e703,
+    0xd381c7e7, 0x33e47f50, 0xf60626a6, 0x72488c6c, 0xbc9b0cbe, 0x63ad35b6, 0x209ea180, 0xb5a552e6,
+    0xfd8f6e98, 0x4086ab40, 0x14f422a2, 0x2e6de41e, 0x7f165b95, 0x8630c41b, 0x65c63e8e, 0x7b4c4b97,
+    0xc87ca8b3, 0x4783ad15, 0x8f90988e, 0x9b9ae6ed, 0xe50bfaea, 0x3dd8e2e9, 0x13c25296, 0xbb28980b,
+    0x329b60f8, 0x6ddecf63, 0xdc2f24f6, 0x12054ad5, 0x47a76ae3, 0x1bfd2994, 0x925c964b, 0x91f86b35,
+    0x2900e9d6, 0x4d248f94, 0x1ea63122, 0x652df0f3, 0xff2b65f7, 0x0ad77c1b, 0x88da8f43, 0xebcbf6b6,
+    0x2e183088, 0xc710c82b, 0xe50353a0, 0x33ea9abc, 0x9441ce3c, 0xeb9ef786, 0x04646c4a, 0x5f195bfe,
+    0x6e3b1f87, 0x133ae0fc, 0x6720412e, 0x9849e4f9, 0xbf4f908a, 0xafe5c7c2, 0x49d46fb2, 0x496c226e,
+    0xa4c3458c, 0x13d95756, 0x6c66040b, 0x6599af19, 0x360c9b38, 0xfb371119, 0x8548f723, 0x72b56494,
+    0xc0f0891a, 0xb510ac6f, 0x5f3385c0, 0xd44785c0, 0x4dcf042b, 0x9740f8a8, 0xa3278d96, 0xb7212448,
+    0x62eb5e9b, 0x51fd2c62, 0x0a6f68de, 0x3b440ed7, 0xd70535ca, 0xae2cd33f, 0x08cbff14, 0x788a2b55,
+    0x3d03666a, 0x938b2b73, 0x35d1d95f, 0x7ecca013, 0x76bb495a, 0x47efc679, 0x7b060750, 0xd10c7a74,
+    0x4ddd7da4, 0xeec028c1, 0xd284833a, 0x47a5c83f, 0xc55f7456, 0xbe59ac3e, 0x085d6ede, 0xc6a4b299,
+    0xdee9df68, 0xd34fdc07, 0x96306a20, 0x7ac9555a, 0x25c0c76a, 0x0a09b333, 0x86991e1c, 0x98d4cf4f,
+    0xe64d2d5f, 0x6f73c040, 0x9d834c26, 0x5ab2bb42, 0x3622a232, 0x0f2bc49e, 0x3c8160e3, 0xf7cccbcd,
+    0x16267fc6, 0xb3d99902, 0x4d69ae7f, 0x704ec01c, 0x0d900749, 0x7536de17, 0x0bfc3f8b, 0x3330f105,
+    0xb991472e, 0x0aa1c771, 0x8b9ca448, 0xf1548b3f, 0xc99bbbb5, 0xe6ce7f8e, 0xec0b70a0, 0xabdeb11a,
+    0x7f12405e, 0x9acb5db5, 0xcfa0fcda, 0x0239c369, 0xaaa7df75, 0xefa3b5f5, 0xb4c17070, 0x51d347e2,
+    0x38a56942, 0x1f03d4ce, 0xaa38e473, 0xee5fd89d, 0xa029a518, 0xb47eeff0, 0x53438c2d, 0xaa35c7b5,
+    0xf9d4e713, 0x0037ad51, 0x4a472742, 0xc252a601, 0x90a545b2, 0x0bae81a8, 0xf63d07af, 0xd4a799b0,
+    0x5a6d41c1, 0x9811c882, 0xb9a129ea, 0x4368383d, 0x44900730, 0x6ca2515f, 0xd53202b1, 0x8cd9a976,
+    0xd43d4a28, 0xc8bcfdfe, 0xb97a189b, 0x897c0cf6, 0x12f0e224, 0xd049c76d, 0x9bdeb28a, 0x100a76e1,
+    0x6cc2cd1e, 0x0dcdf004, 0x8a09eea6, 0x7b0a3687, 0x3ab552b7, 0x8e0572ca, 0x57a47946, 0x5b3467b1,
+    0x1bb4955a, 0x726d24a7, 0x27c1609c, 0x15e8ad2b, 0x08004b04, 0xffa7cd2a, 0x302db8d4, 0xc42f1988,
+    0xc69231fa, 0x002c22aa, 0xf2dfaec8, 0x4ab25e0f, 0x962c5d18, 0x60563974, 0x73eec661, 0xd020de72,
+    0xf775b1aa, 0x7e30a2ec, 0x3740029b, 0x7ca49729, 0x4bec4cab, 0x45d75e84, 0x8306bf84, 0x45e38a31,
+    0xdfb58ac1, 0xede874a1, 0x7318e6bd, 0x01ecab72, 0x371c5c82, 0x88ccd609, 0x60f45045, 0x6faced85,
+    0x0212440f, 0x7659dc75, 0x0b338e48, 0xbbadfeed, 0x6b73968f, 0x4c32af26, 0xa812ec9e, 0xeca9f089,
+    0xe6820c30, 0xfd0b8c39, 0xf691055a, 0xda526fd3, 0xbd9e7adb, 0x742fe713, 0xc7003bcb, 0xdbd7553a,
+    0x00c585c6, 0xa173f1e8, 0x7b3e6fb4, 0x4e6b484c, 0x2f766570, 0x17a3580d, 0x8099bbbc, 0x17a21acc,
+    0x1c8071f6, 0xb501693e, 0x2134fe25, 0x313e4c00, 0x7d52fff3, 0xc29e1d2f, 0x5416e301, 0x34616805,
+    0x3132791f, 0x90a7b588, 0x24d7da9c, 0x079b329c, 0x9624b8ca, 0x7b05ff43, 0x58a5e88b, 0xc361e340,
+    0xa3e8b0a9, 0x98733f26, 0x03f2fa4e, 0x5b0f1fb0, 0xff9a13f6, 0xb263a489, 0x8888b3c3, 0x1fedf863,
+    0xa3abaca4, 0x9f8523db, 0xcdd4d8cb, 0x22453c6a, 0x6a214ef4, 0xb40639e2, 0xad2eb2e3, 0x9f9776d1,
+    0xa94b518f, 0x6949f094, 0x2b626613, 0xd186a31c, 0x72114c46, 0xc4ea9904, 0x103bddff, 0x1a78900c,
+    0xc3fc2615, 0x9d9dc8be, 0xed5da203, 0x250d9cfd, 0xdb93b74c, 0x980902b4, 0x2840c7c7, 0xc145b144,
+    0x2a3b50ed, 0xb6364339, 0xe62e0925, 0x4fdb92a2, 0xee41ec5f, 0x56d2dcbb, 0x46ccda78, 0xdfe6d829,
+    0x0d973a96, 0x3c8541c2, 0x3167f9e7, 0x428e80e2, 0xbedef82b, 0xad23c502, 0x17170191, 0x4fae5246,
+    0x8e32cc16, 0xbf7cc837, 0x20e15303, 0x14a097d3, 0x9a129612, 0x6021e9e4, 0x97c44137, 0x659cd105,
+    0xd2786562, 0xf6764177, 0x06fa61dd, 0x0dda3258, 0x273485e2, 0x2dac37bc, 0x868d92b2, 0x79e1a252,
+    0x2c9eae4a, 0x46d661a3, 0xb11e2a1d, 0xf7f7498c, 0x40064d37, 0x3f875632, 0xa522eb58, 0x64a5bde6,
+    0x7d2de08a, 0xcabf6bd8, 0x3602b745, 0x8b296181, 0x97f21d1b, 0xa1f2cc72, 0x4d0ee39d, 0x106f7dfc,
+    0x4a02b8e5, 0xb7709a9c, 0xf75f98d8, 0xb545cf55, 0x8a064daa, 0x5c8faee0, 0x0c56067d, 0xfc54dcfb,
+    0xec5e6ead, 0x56ed0b3d, 0x81820e14, 0x1897b4ca, 0xd62d7fa0, 0x38c7c24a, 0x41bcfe65, 0x5f901674,
+    0xc90dc815, 0xc072bc94, 0x6bf58a73, 0xb0e238a0, 0x7c677583, 0x862d855a, 0xe232d5e0, 0x93e3e3d5,
+    0x3072b2c2, 0x6710d5a4, 0x955a56bb, 0xcfad9501, 0x4bc5b6df, 0xa31e4fe8, 0x11b8122c, 0x0bb1625a,
+    0xbe20905d, 0x1f33dfa3, 0x8b2fd332, 0x7addbd31, 0x9803f303, 0x610b2e48, 0x23c33d1e, 0x6216cff9,
+    0x5863085e, 0x20ff7254, 0x712558a8, 0x6d549ae1, 0x08ccb948, 0x0f5bbfab, 0x39d261ec, 0x4a56c799,
+    0x4a8b6df9, 0xe0e8de20, 0x7388406b, 0x03bac00e, 0x51fd90f2, 0xf2389e50, 0x1e7e19f9, 0x583271bc,
+    0x058a8c20, 0xf9f74ad5, 0x356dc4fc, 0xb87560e4, 0x5bec18d7, 0x5e122107, 0x179b421a, 0xc9980d5a,
+    0x3afeb71c, 0xecf4fa47, 0xb878aef0, 0x03bd5b7e, 0xcaec9a12, 0xd06d05db, 0x9e45d2a2, 0x08fb8b16,
+    0xa667d337, 0xf4b8ec8d, 0xe56d4e74, 0x93d84c36, 0xe018d691, 0x21a671c3, 0x892d60e6, 0xb6153544,
+    0xeb9373ae, 0xf4e15b12, 0x9721b266, 0x6fe8fdaa, 0x27036fe9, 0xe4bc4824, 0x0aa01374, 0x17404606,
+    0x9d908bca, 0x0fdaa55e, 0xe37b30cc, 0x23d93802, 0x60377672, 0x3962c58b, 0xe115d364, 0x87e8bcdd,
+    0xa8c794fb, 0x945045b6, 0xadce8b6b, 0x81332131, 0xd8cc76d3, 0xace3ad3b, 0x97ea0007, 0xce9c4089,
+    0x68048106, 0x8cba9bb9, 0x23f82a36, 0xec75984e, 0x7f1261ea, 0xd23cda85, 0x0a13cbac, 0x5ea3ffbf,
+    0xecd0d012, 0x3c9ba8eb, 0x0f205bed, 0x394252c0, 0x00e8ad8b, 0x8350b7fe, 0x31a74789, 0xca5a6b60,
+    0x3a36d5e6, 0xc2473cf8, 0x05839d2d, 0x2977a192, 0x1293c58e, 0x7b0db403, 0xa1b6bd95, 0x865e0fa5,
+    0xd53dedd0, 0x5f2ddffa, 0xda6cc3a9, 0x9f3857db, 0xf7026046, 0xd4879a25, 0x69f495cc, 0x5d669372,
+    0xee1a0c53, 0xab8f04ec, 0x99ad4b32, 0x853e3b8f, 0x819b3370, 0x3a0ddb27, 0xd084ccdf, 0xeab0ee46,
+    0x1336d693, 0x746a4ee7, 0xe81fbaeb, 0xe599a8f3, 0xd62be930, 0x28024e73, 0x09380290, 0xf52894cc,
+    0xa815c082, 0xdca473ec, 0x87c94da3, 0x201361fb, 0x9ebc9f2a, 0x82dcba5d, 0x7a5246fa, 0x2bc3e54b,
+    0x322dbfb1, 0xdf1b8611, 0xff8c7ad2, 0x71e2980e, 0x72d38257, 0xe36428ec, 0x3c694491, 0xc7c6c935,
+    0xe1afda2e, 0x0b2a35d2, 0x7179c049, 0x7fca7733, 0x644015c1, 0x48cb50b2, 0x601b78e4, 0x9c2f119d,
+    0xf66d0aa4, 0x61f21f8c, 0x4ac0e0f7, 0x9e842601, 0x59caae23, 0x340f44fc, 0x088572b1, 0x320cabf2,
+    0x724eb56b, 0x75e3c7c7, 0x181f2ea9, 0x88cfe543, 0x62ed28d2, 0xc983b8c0, 0x27e7bfac, 0x2f677b0e,
+    0x02f10a3c, 0xfd944e1a, 0x02d6f986, 0x11818401, 0x3ee1586c, 0xa9a83066, 0x0c96e631, 0xa5302da4,
+    0x55e94b30, 0x1d8ab7cf, 0xa41a6893, 0x423e2bfe, 0x72c19f61, 0x305dd3be, 0xac5561ab, 0x931ca797,
+    0x00000000,
+    0xfd36bf6c, 0xf924afdb, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000001329227995784915872903807060280344576 */
+  { 0x00000000,
+    0xd1ab113d, 0x4ddf7d6c, 0x34d1da10, 0xceb23ebd, 0x8f826915, 0xf61ce15d, 0xe5415d61, 0x75f979c4,
+    0x0d151fa8, 0xe36f18df, 0x1483c675, 0x8a7091a0, 0xf4d3a35e, 0x3430917b, 0xfb201905, 0xa0ef9690,
+    0x8032689b, 0x48fa8a62, 0x778a824d, 0x0ab0301e, 0x9c79c55c, 0xa9eb148c, 0xbb8a61fe, 0x74756544,
+    0x80882899, 0xc04211bf, 0xd17a1011, 0x3b2639ef, 0xf23bc7ce, 0x06e3f071, 0x4c2fc918, 0x06c45f01,
+    0x782909c7, 0x2983755d, 0xe6622dba, 0x6ee3750f, 0xa9d8dd41, 0xfe4d1db2, 0x79cefd0a, 0x8d23f146,
+    0xf7a2428b, 0xa9d06e10, 0xe4b032f3, 0x3ef21826, 0xf9e721c8, 0xfc58836b, 0x79d88dd3, 0x4ad243b8,
+    0xc49f9996, 0xf254f7a4, 0x347be616, 0x5cb1fbc3, 0x7e37f737, 0x5e9b2f4b, 0x0f3ef14a, 0xb426f99a,
+    0x07bda310, 0x6e60f83d, 0x97795cd5, 0xa6e10fb9, 0x475ea211, 0x65b65054, 0x50347c39, 0xe8cda62a,
+    0x8896a19d, 0x59eedafb, 0x6b821260, 0x7b39c753, 0x2d63de17, 0xc41399bd, 0x48a22e3e, 0x15209ba2,
+    0x07bcc4f2, 0xa0a35d07, 0x98fda297, 0x71f30c0b, 0x357d451a, 0x205d6b7d, 0xc2e9d5d9, 0x5387d3f4,
+    0x87f96e18, 0x88940408, 0x51476896, 0xb0d94669, 0x7046afe1, 0xf332850c, 0x40c077b5, 0x684bc44c,
+    0x0ebbffee, 0xc5686e93, 0x3557027c, 0x615c85ca, 0x51974265, 0x48fff2c8, 0x345e29b2, 0x2418f603,
+    0xde41a3cf, 0x3a9e3cd1, 0x76231e9a, 0x7a4fa8cf, 0x5b2d8651, 0x6b1d5d5f, 0x5b6a389b, 0xc3107bc9,
+    0x12110289, 0xc59c480c, 0xa60703ea, 0xa539698b, 0x4d1cf759, 0xcdc0c6fb, 0x69faaedb, 0x37ed1c8b,
+    0xea5bb7aa, 0xa6857b4c, 0xa44cc20a, 0x2e7200a5, 0x9d54a84e, 0x6e55b107, 0xabfdb298, 0x387f3397,
+    0xb9f462a4, 0xae56634b, 0x48bff778, 0x64708ca5, 0x680b95b1, 0x5242d280, 0xbf3a37b0, 0x7df92727,
+    0xcac981af, 0x2768650e, 0x60aa3def, 0xa64e36f0, 0xc056244f, 0x061a3af5, 0x5abe814f, 0x40b594fc,
+    0xaec9a86b, 0x82a70a34, 0x782e44f3, 0x328bafba, 0x7cba31c6, 0x88ce4ef0, 0xe272ace6, 0xda14aa72,
+    0x3f706e70, 0xcab49b7b, 0xc76041d8, 0xd01480b3, 0xa974123e, 0x216dd15c, 0xe7c06ea0, 0x2fd312a6,
+    0xf02d3f84, 0x4079f8ab, 0x7fc7c164, 0x329c48f1, 0xb1bfc4be, 0x92fef334, 0xbbc0a957, 0x22eef650,
+    0x7fdf210f, 0x36d9a4d7, 0x89926014, 0x1fae8506, 0xfeea8360, 0xe60b74dc, 0x3d23b07a, 0xc7bf5e40,
+    0xe95d7aaf, 0x2e0f8af8, 0x40bd90a4, 0xb8ad227b, 0x345a0cfc, 0x57faa9b3, 0xb3bf2c44, 0xc25b06ba,
+    0xb32d6d13, 0x18ade06d, 0x7c17395e, 0x13a8e455, 0xb27d0f04, 0x5a388daa, 0x5867492c, 0x342fbfdd,
+    0xf7532580, 0xbcd5dbd8, 0xd43be8c5, 0xd2da1b2d, 0x8880cd40, 0xbeadf9da, 0xcaf544d1, 0xf832266d,
+    0x3297975d, 0x9e020fd1, 0x093e78c6, 0xacc5dde0, 0x05371c36, 0x17181040, 0x1a95a2b6, 0x857bafad,
+    0xadb0bb88, 0xd970427f, 0xd9e3a10e, 0xb64cd9f4, 0x2bc30de9, 0xcd528fdd, 0x8b25ede4, 0x18162bd5,
+    0x58d2133f, 0x1e431904, 0x142bd84a, 0x976a3a73, 0xc8228717, 0x11df8ba6, 0xb5eb194c, 0x1f6aaeeb,
+    0x6a4c9483, 0x0e87afd2, 0xb2bd88ed, 0xc346ec12, 0xa68913c9, 0xfdcbb132, 0x6cfe1c07, 0x186204e3,
+    0x4fffc1c0, 0x05498511, 0xc2e7c010, 0x1dcd1fcc, 0x1f4a32ec, 0x79acf779, 0x7b290f14, 0xbd08905f,
+    0xd9912a67, 0x13928e2e, 0xa68dfc48, 0x4241ac42, 0xf110d580, 0xb84ad421, 0x42ce7e91, 0xeb01342e,
+    0x461f5943, 0xbf1bc080, 0x0f81bcbe, 0x53c6b3ba, 0xb8df4bf5, 0x36e326a6, 0xb35d9885, 0x9277e9d2,
+    0x89e02925, 0x0bab8cb7, 0x48c09040, 0xa2ed4b0b, 0x2facecbc, 0xca879264, 0xd277cdae, 0xd396941a,
+    0x8b6b1289, 0xe844cdcf, 0x59cd1ffa, 0xac0d11f7, 0x65ac49f5, 0xad1d524a, 0x1a9e5dd8, 0x63631e34,
+    0x7e39ebb1, 0xae1f32b1, 0x9018050c, 0x1db5f50a, 0xcd3bbbdf, 0x9e995569, 0x7c08cb9e, 0x896bfbb8,
+    0x0152d7cc, 0x89ff0ac5, 0xcb4b5bf7, 0x55e3784e, 0x27dd0c76, 0x01afd7ab, 0x96614827, 0xdbd72369,
+    0x386c7aec, 0x721d79c5, 0x493c853d, 0xddaea4b6, 0x3b8c1390, 0xe41fa59c, 0xd655116a, 0x2ba0b35b,
+    0xf5ca073d, 0x1df93d67, 0xd72a63cd, 0xf3d014b5, 0x2df25a55, 0x047ca62f, 0x4a39a998, 0xf05a05cb,
+    0xfbffc4b7, 0xc91c8974, 0xcc1cab2b, 0x0736f616, 0x204e3277, 0xe7db64dc, 0xfdfd534e, 0xa1d47163,
+    0xc4966316, 0x736cc1f7, 0xa4e5f588, 0x7d4fdd9f, 0xe73b9cd8, 0x02300fde, 0xf8f37b46, 0x15ea8a1e,
+    0xb26e4125, 0x32e56606, 0xc8de5c48, 0xb85647ca, 0x86a62d6b, 0xac16f05d, 0xf529a0d2, 0x262946b5,
+    0x436801e0, 0x1fedcf79, 0x30653af6, 0x5b12179f, 0x4c3f4b82, 0x5cb52103, 0x9e7eda63, 0xe172c65f,
+    0x5505c302, 0x0f1e35d4, 0x98137ace, 0x1f8c5a04, 0xca43544d, 0xe048136c, 0x8fc4290f, 0xd3c2a3a3,
+    0x9ed05cf5, 0x7d988789, 0x59f8ebae, 0x312e83ab, 0xb6aa97db, 0x67e12aa2, 0x2863bb84, 0xd3e0cc1c,
+    0xd3cdc67b, 0x5efd253c, 0x3d91504d, 0x03577f73, 0x83229808, 0x43367792, 0xe7a24f7c, 0x60356cd5,
+    0x2f68b3c7, 0xdee03aa4, 0x9083e66c, 0xa896497e, 0x2eeda723, 0x80eac1f9, 0x33ebc9c6, 0xd64cd139,
+    0x5ef59f51, 0xc14c97e6, 0x1098041e, 0x2bb61066, 0x2a3ca3c2, 0x433e16c9, 0x8f3e8dba, 0xcea30b7f,
+    0x4b827072, 0xe37b4cd3, 0xecd999a0, 0x5ba387ce, 0xc6a59531, 0x6f24d0dd, 0x62ed21f9, 0xb88d6be9,
+    0xdf53874d, 0xc9bb8af7, 0xaf7ff547, 0xbcb08005, 0x9f9b691b, 0x64326be9, 0x8170ea96, 0x62821981,
+    0xa1644370, 0xa2e0921f, 0x3364856a, 0x66111681, 0x47325c60, 0x3c90a0f7, 0xa928b096, 0xf870e31d,
+    0x7fcff6ee, 0x222265fc, 0xbe0555f5, 0x03e93be0, 0x548a9455, 0x7353e1ca, 0x44844332, 0xb5b3ccce,
+    0xceee6122, 0x73b2c93d, 0x108a375e, 0xe630fc7f, 0xca8ed5e3, 0xa6aefe36, 0x75d9573b, 0xa0b20406,
+    0x39539056, 0xdb140452, 0xa14148c7, 0xeb911157, 0x55cf41f7, 0xdd5d79c5, 0xb524da84, 0x57c4aefa,
+    0x18864183, 0xa952a1d7, 0xc393f2f1, 0xd6ffa605, 0x709a18c4, 0xce553a24, 0x671bbf24, 0x2c043861,
+    0xd29c2f45, 0x81e50b4b, 0x9cc33b2a, 0xd6ae30ac, 0x661ccab4, 0xeaea6980, 0x3d614a2c, 0x6febf10f,
+    0xa5f3cebc, 0xc7d14ffe, 0x7036da1a, 0x1ec924ab, 0x87a81325, 0xcaf01224, 0xc23614eb, 0xa456b989,
+    0x976db3da, 0x6d367365, 0xcd1ae677, 0xecf57b18, 0x16db7e37, 0x9e412f5f, 0x5809e1ca, 0x15a0c237,
+    0xc3d00455, 0xc9f120f8, 0xeb57fc55, 0x482d023a, 0x0a287082, 0x23551641, 0xeaf7b1aa, 0xb903f593,
+    0x91d7ecc3, 0x1bcd6ddd, 0xed77f379, 0xce4fc857, 0xc6384002, 0x74f94231, 0x8e38e7a3, 0x543d11ce,
+    0xa445af85, 0xd4996799, 0x1cf69a5e, 0xe651c228, 0xac082621, 0x9ebee2de, 0x921badbd, 0x9fd82bf0,
+    0x5720d785, 0x92914c02, 0xe3d062d6, 0x9684205b, 0x384bbdbe, 0x86aeadf4, 0x155eb7fb, 0xc0978687,
+    0x0ae3a291, 0xba884412, 0x9354c613, 0x61f763a8, 0xb3b60764, 0xebfec6de, 0xa23aa145, 0x3ea550c6,
+    0xefd0bf8f, 0xdab7a131, 0xd1e87600, 0x8f7bd821, 0x6a5a3b1c, 0x70b2e2a5, 0x441fe3ff, 0x0a4dc5db,
+    0x7c811f1c, 0x49461128, 0x0eefa479, 0xaa49050b, 0xc8ae9d6e, 0x5b64824e, 0xbfc55616, 0xcc1b17ea,
+    0x15d3efe4, 0xe8292727, 0xa3bd8175, 0xf3ca65f5, 0xcb69d0b6, 0x5942edb5, 0x72bb3747, 0x5de67459,
+    0x8fb9b27c, 0x861f66fa, 0x39d39d65, 0x50d4ddba, 0xabbed978, 0xeb4a12f4, 0x9fda05ca, 0x2eac78b9,
+    0x1128d1dd, 0x775d7497, 0x0f0b325e, 0xb3729abf, 0xb1a97f71, 0x434ca1d9, 0x55a2acaf, 0x0ba4dacc,
+    0x91778fef, 0xddd208c7, 0x186ce5ad, 0x20a320b9, 0x5e16b38c, 0x49fa24bf, 0x4149b556, 0xd2dd6d3f,
+    0x9130b8c7, 0x95a2f762, 0xb118bd7c, 0x5a7e7acd, 0x3febdab5, 0x16c015a7, 0xf194b4f3, 0xa778b536,
+    0x1cd4f3ab, 0xcf3c190b, 0x2cef01db, 0x402109ae, 0x9131a2b0, 0x74d7d12b, 0xe9687cfd, 0x0dd643d0,
+    0x915ea0ae, 0xf07a405f, 0x0da76c80, 0xcc98f5aa, 0xa948368e, 0x65e01cd4, 0x1482a98e, 0x0efec3ce,
+    0xb251d1b2, 0xbc6b671a, 0x7dedaae6, 0x2cb388ae, 0x872afe99, 0xaba333ef, 0xd02de358, 0x1695e608,
+    0x0d3ae385, 0xef215a66, 0xe4ec1c9d, 0xe2393ab1, 0x72471846, 0x1733dcdd, 0x01ddfb85, 0x37227fd6,
+    0x138a8cc4, 0x8059715e, 0xee792a69, 0x4fd3243d, 0xbb67ba13, 0x4215c6c7, 0x8412d97e, 0x302ff195,
+    0x80535e66, 0x965a7d58, 0x57fa1def, 0x9372d226, 0x154ecfe3, 0xf2c52ba1, 0xc38c65bb, 0x52a8b1aa,
+    0xafc6c2d1, 0xdb4f2fff, 0x90696716, 0x0e29e470, 0x55769cc5, 0x8cbfdc35, 0x6135ea99, 0x265897f1,
+    0x3e8f2040, 0xdc12050c, 0xfd77de6b, 0xfae60151, 0xd9193dd7, 0xb3c83c6a, 0xc3822547, 0xf74deb40,
+    0xbfb42e3c, 0xc285ff36, 0x360c53d4, 0x4f562148, 0x31e8d79f, 0x97add911, 0xe50785ef, 0x65f1dea6,
+    0x9ec3cb3e, 0x172fe0e9, 0x4ad65d37, 0x10ef91e2, 0x03f16141, 0x98a1331d, 0x65ba015c, 0xb85e6afc,
+    0x9b430a9d, 0x6dd60dc9, 0x208253d1, 0xd7e6bde4, 0x37723f59, 0x3747ffce, 0x47911fd6, 0x6b658d62,
+    0x766582d0, 0x2619d383, 0x36d459fd, 0xc779f7aa, 0x409ed71c, 0x6201f691, 0x0b51a647, 0x347b75e2,
+    0x7014b4fe, 0x05047f17, 0x7dc2f8ef, 0x130eb500, 0x6e35b731, 0x07dc8674, 0x6230e4ed, 0x4047bbfd,
+    0x5d6e8ec5, 0x4162c735, 0x3ab27320, 0x826d9ec3, 0x00a1bd8e, 0xa226e4e9, 0x8d5a261a, 0x7e7d9957,
+    0x24cc2332, 0xf6fe3d6d, 0xfb3aa776, 0xafae72a1, 0x6cee5784, 0x9c20be9e, 0x1dd4f243, 0x84c36dfe,
+    0x5d8cb5e4, 0x62a60fb6, 0xc5080db4, 0x18c8e591, 0xd9593dff, 0x5f8f328f, 0x3a20121b, 0x93e5a7d7,
+    0x7d018b69, 0xcdfcfdc6, 0x8200bba5, 0x60de1d35, 0x060517d0, 0xb6704ec4, 0xea76caa8, 0x5ebf452e,
+    0x1014bee5, 0x6d7a418d, 0x0ec6d7ad, 0xe146c8b2, 0x22ea55ed, 0xabb92711, 0xf7a6c1fe, 0x002068c0,
+    0x364e2563, 0xecf38ddd, 0x364cac3c, 0x6794f6d3, 0x15990ad9, 0x6ed8f9d5, 0x0cf46583, 0x6b1b8e53,
+    0x7cece1a6, 0xd63eb468, 0x7dc19ec0, 0x634750bd, 0x94110653, 0x1213b6ca, 0x549e3047, 0x2e691bc6,
+    0xf61d14e9, 0x15424aa4, 0xbcf80be1, 0xe43396d9, 0xb71ad06d, 0x336c95f8, 0x063f3fda, 0xc3756d1c,
+    0x127879bb, 0x9a162015, 0x633cba20, 0x1fa35373, 0x5b7c6f87, 0x7ab40ba7, 0x49d66cd1, 0x148c1ee3,
+    0x5d2adcb4, 0x5274c5ea, 0x7d1ad175, 0x93c08dde, 0x5cbf01a3, 0x3659a351, 0xe910b54a, 0x66dd7440,
+    0x11a79299, 0x4ea885a9, 0x2366a76a, 0x2cdb706c, 0x6feeef55, 0xaa429e40, 0x855a0ac9, 0xf270e169,
+    0xd521f7da, 0x491e8fe9, 0xf317335d, 0x6e96300e, 0x5f1034e7, 0x86b7d6f2, 0x874000b0, 0xa0c0f44d,
+    0xed676c2a, 0x25d295be, 0xd0d6d8ff, 0xfd0442f6, 0x8b172324, 0x0e69ed4c, 0x5c665241, 0x7a202e6d,
+    0xee492175, 0x18d0b3d2, 0xc581cbe4, 0xae64c52f, 0x58838e75, 0x9bb34991, 0x5b2b503f, 0xdb0bc6a1,
+    0x6c1e6379, 0x18654545, 0xd62b654c, 0xa3083643, 0xb5d5be8a, 0xcc8e2ad0, 0x86a64bd8, 0xe755051c,
+    0x54cd4d85, 0xbf64fb81, 0x4f3c49d4, 0x7575f21f, 0xdaafcff4, 0x74b553fb, 0x44d76dc9, 0xd7b2269e,
+    0x815711de, 0xcc8ab560, 0x41c7ab8d, 0x72572899, 0xa33231b1, 0x7078d9b2, 0x13a19007, 0x6423a74d,
+    0x5fdb827c, 0x7a56b43c, 0x6e2be949, 0x91f8859f, 0x80801f8b, 0x632bd74a, 0x2de2fa62, 0x6a5a9d9a,
+    0x3282bab0, 0x67c51796, 0xd1adb1bf, 0x5fbfc22d, 0x6641edbe, 0x083816e3, 0xe7479f82, 0xa265ee51,
+    0xf71c886d, 0x1e288d89, 0x35e2893b, 0xfc918bbf, 0xbb17ff75, 0xa174aff9, 0x1635c56d, 0x8afdf187,
+    0xd6088312, 0xa96f2d0d, 0x41195645, 0x267cddc6, 0x0d5f1d77, 0xa9d170bc, 0xcc7ca456, 0x9be2fdf2,
+    0xc8174571, 0xfb78b05c, 0x4c450aba, 0xc852edd3, 0x8b14af22, 0x5577dd5f, 0x78142a3d, 0x6639db3c,
+    0x36fb8ef4, 0x466f32b8, 0x9435aeee, 0xfeb7c667, 0x97252e21, 0x549ff44d, 0xc9bc5cba, 0x96b867fd,
+    0xcdb9ecab, 0x1947e965, 0x7a459cc4, 0xeaa06fb3, 0xd2da4845, 0xd9c534f4, 0xe6a464c2, 0x610bce14,
+    0x77654d21, 0x3658610f, 0xf37c63fa, 0xb7ed2ce2, 0x64624218, 0xc20431db, 0x98bdba1b, 0x2d37554e,
+    0x5a86ef4a, 0xf36a8b6d, 0x241ad989, 0xe50be8a2, 0x8037150b, 0x643e2979, 0xd2ef772c, 0x4d29b08e,
+    0x762a1cb2, 0x0ec52059, 0x8f908fc8, 0xf77be790, 0x792ce266, 0xe813e915, 0xcb175478, 0xb716b415,
+    0xdb3382e6, 0x79e25830, 0x650e735d, 0x6e07c9a0, 0xf924b5a4, 0xf9c93ab9, 0xbcb4b947, 0x91f5d472,
+    0xfca893bb, 0xb1743571, 0xead8370e, 0x3527ac55, 0xedf010a3, 0xad6fab65, 0x58ae3642, 0x23ce0b42,
+    0xefa4790b, 0x7ac263f1, 0x56bc0257, 0xac80f2cd, 0xcbc12d6f, 0x182bb5b8, 0x1fc1d0a5, 0xa84ec8de,
+    0xcc03f2f4, 0x9832176b, 0x2b309320, 0xd8993ce7, 0x7a83d277, 0x4f0b91e4, 0x4a4f217b, 0xe7dad103,
+    0x8b4fb80d, 0x397f53b2, 0xa442a503, 0xe22ff0b5, 0x78f6f722, 0xc2f8185b, 0xe21981d7, 0xf9dbe46d,
+    0x3d320e9e, 0xa9af439c, 0xb532a6d1, 0xa7a3095d, 0xd6415733, 0xd8451b36, 0x37db6bff, 0xbb165e5d,
+    0x0804f7c4, 0xc0d940db, 0x7af0f071, 0xcef97b87, 0x323d47d7, 0x484825bd, 0x8420ed19, 0x9a45db87,
+    0x17c31493, 0x2bf1e3d4, 0x814003c6, 0x2657163e, 0x831b33f5, 0xcef2594f, 0xab7261e8, 0x3d652ad4,
+    0xa63b4eb9, 0xdb9791a6, 0xd56616a5, 0x6c1d466a, 0xf28f23be, 0x0697c600, 0x292ae635, 0x0d643ecb,
+    0x5d0fb565, 0x67f2b1da, 0xc3b17993, 0xf89cac93, 0x9c29e15a, 0x3be7edf0, 0x293663b3, 0xdb6534f7,
+    0x5f251be0, 0x4295ef9c, 0x99b60203, 0x6a400e9d, 0xe4cb4b78, 0xa2dc18f5, 0x67d8d41b, 0xd3d710a8,
+    0xa2c5865d, 0xf576ef53, 0xa5993781, 0x11959afa, 0x85166dea, 0x9a430909, 0xd751c287, 0xc8fcd96b,
+    0x6637d772, 0x3ce6edd3, 0xc816d8a5, 0x4aaa0e9a, 0x1dfd17a5, 0x15fbf9ca, 0x77dd5178, 0x0f5369bd,
+    0x7bbe79c9, 0x76a0d3d0, 0x8f452737, 0x60c92bbf, 0xdebb8978, 0x08326fd0, 0x3dcf95d7, 0x28101e11,
+    0x12848afd, 0x0b07cb96, 0x8ce1ef6e, 0x1898bcda, 0xcf2ae89c, 0x2ed60fec, 0x0342f909, 0xdaf4daad,
+    0x81595f17, 0x283e353d, 0x9a2466ac, 0x56272668, 0xc061ecfb, 0xf9c3bb12, 0x9c26f4a8, 0x4365f739,
+    0xe657b863, 0x0f7d7d27, 0x71ed25dc, 0x20ccdf8c, 0x45b41d12, 0xe023b80f, 0xeed298fb, 0x76403f0c,
+    0xf3d9ee0b, 0x953e8f34, 0x9f8c4899, 0xe60f3d87, 0xa5a24b31, 0xfb8a7f91, 0xfb6e30e1, 0xc21043aa,
+    0x00000000,
+    0xfe9b5fb5, 0xfc9257ed, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000664613997892457936451903530140172288 */
+  { 0x00000000,
+    0xbaff2e77, 0xb87a77d8, 0xcbd931a3, 0x74e952e2, 0x51302ca4, 0x18e59908, 0xf7e6cb4f, 0x53b7d9ce,
+    0x40db769d, 0xaa65508c, 0x7a5d949b, 0xcc2a3bd6, 0xb1f78da7, 0x5567c327, 0xcaba46ff, 0x0bd5c67c,
+    0x07199b06, 0x9b3fec30, 0xcd1df8e6, 0x81af6626, 0x00eee348, 0x7f83ac42, 0xe83e0ee8, 0x8ef088f1,
+    0x0bf01e1d, 0x62efbf18, 0x0b40e31b, 0xbfdf1e95, 0x3861327d, 0xa58852c6, 0x9ee1315f, 0xa16d50b3,
+    0xb6a33b4c, 0x5afd285c, 0x3b3c5b7c, 0xca831d67, 0x80fe698f, 0x74182f8d, 0x382e9d88, 0x695d32cc,
+    0x14168778, 0x75202d66, 0x890064e6, 0xf867452e, 0x548340b3, 0xe156bdcd, 0x27420b71, 0xc297723c,
+    0x2f0b3509, 0xa12de3d7, 0xaa3dbd5d, 0xe23182b2, 0x015ad936, 0xaab686c8, 0x7dad9241, 0xbda9b0e8,
+    0x2e978cdd, 0x1d5aea22, 0x27b9907d, 0x55151fb6, 0xb0967d6e, 0x684a3665, 0x30db359c, 0xa0bb4009,
+    0x1933f431, 0x9124c567, 0xc21fde3b, 0x71602a5f, 0xd435c774, 0xd22267b7, 0xe739d4f2, 0x96fd2046,
+    0xfaae7ee6, 0xa63194a5, 0x32f83546, 0xf1838b20, 0xde4f75d0, 0xcda9ee88, 0x7f6e4566, 0xa9546dd9,
+    0x9b117615, 0xb136df04, 0x3bef9b23, 0xdcc1da7f, 0xf0189dc2, 0xc4cf3bf0, 0xa577187e, 0xd917c2a3,
+    0x68629a48, 0x36d39019, 0xd0dceef5, 0x6c8dcc82, 0x6fc42d0b, 0x21b5fdbf, 0x76a7f82c, 0xeaf033f7,
+    0x8f329970, 0x325884ab, 0xdca67f96, 0x86402740, 0x27a5b66d, 0x0706a4a6, 0x9b5ef205, 0x4826f500,
+    0x315e75a8, 0xf7991b70, 0x77125f69, 0x6dc76ede, 0x35ef17ca, 0xb3909679, 0x031423df, 0xa77b11da,
+    0xb23dda10, 0x265602c4, 0x3946088e, 0x6961e463, 0x38df7288, 0xc27cd289, 0x89ec23bb, 0x7835565e,
+    0xfc9fb99e, 0x19b7915d, 0x364369a3, 0xdc0033ee, 0x829b7f81, 0x63607dd2, 0xbd8505cf, 0x2fc7e3ac,
+    0x48cb6fe0, 0xb1cc27b2, 0x77840f25, 0x02cbde87, 0xf78433fd, 0x0b262e30, 0x8b76f6e3, 0x46d6022c,
+    0x4e0d3c5b, 0xb1e5f777, 0xa8bc969b, 0x1e6d6ec0, 0xa94c4f1a, 0x6a5256a8, 0xc9a72995, 0xdbbef2e2,
+    0x32d99d6a, 0x6e236047, 0xc69a385d, 0xce69e6bb, 0xea60555b, 0x87f8373a, 0x0322e903, 0x359f3600,
+    0x33db34c5, 0x675fca31, 0x4b797ab2, 0xa9e64d1c, 0x016aa2df, 0xab3bebaa, 0x5f4334c7, 0xe3d81621,
+    0x4936411f, 0xb2b1be7b, 0xe9940dc0, 0x276fdd75, 0x49be72a6, 0xc0b51470, 0xdc8027ad, 0x834301da,
+    0x2b937942, 0xbb0c5bbb, 0xe21f4685, 0x332e0c57, 0x8fccfd4b, 0x7ceeff30, 0xc08d1861, 0x584e91d1,
+    0x78ed524b, 0xb7e28edf, 0xb18b323b, 0x9d7460cd, 0xa062c69a, 0xe55485f2, 0x0bcb6ce5, 0xe29327b0,
+    0x7e8f0e7b, 0xa5c57247, 0x5755ceb5, 0x85d7b7a3, 0xd18d4fe3, 0xea0119c2, 0x19d6a9cc, 0xfae262d4,
+    0x68ffff77, 0x890977e5, 0x57eba4f2, 0x6b96c662, 0xf62bd695, 0x76df5717, 0x5cd141a0, 0x151c234e,
+    0xf3162ac4, 0x23704fa9, 0x6284a063, 0xbcc8f259, 0x8ff483b5, 0xe614e04b, 0x2d1dc564, 0x93553436,
+    0x1c5c7ba7, 0x749803a5, 0x83466dbf, 0xa43ec8d0, 0x42458316, 0xa2389e5a, 0x1abeee8e, 0xbce430cb,
+    0xc74a4537, 0xdbb7ed7d, 0x4978c714, 0x55e35f8d, 0xb3ecc28f, 0xc2ac1d9c, 0xef84c38d, 0x4bc46383,
+    0x35ccf86b, 0xf3a8ec73, 0x8fc8eaab, 0xb66cd830, 0xf4a891d9, 0xd0e13bf1, 0x5caf2317, 0x7b3050e1,
+    0x0a193363, 0xf04c8a15, 0x72f9e893, 0x1e602ed9, 0x2c12d939, 0xeb66dac3, 0x34178c6b, 0xa02708d2,
+    0x05487e89, 0x269f5391, 0x232af511, 0x063aaaa4, 0x3721021b, 0x48e3db14, 0x160294da, 0xcecdc4f8,
+    0xcd41fbee, 0x7caded08, 0xa6a46732, 0x7920e5d1, 0x9ced685c, 0x59f1e1a6, 0x5293970b, 0xee17f13e,
+    0x58e52c28, 0x03c8efe5, 0x0c02b89c, 0x082e8528, 0x28432e0e, 0x379a265c, 0x20fcc3ac, 0x23eb02da,
+    0xc5cb6631, 0xf11a11e9, 0xd4a6c813, 0xb5436c56, 0x6383bfa5, 0x2141fd4c, 0xa7829d71, 0xaaccfc59,
+    0x33c25016, 0x33dbd3fc, 0xb9d5af0a, 0xf643558e, 0x14537da8, 0x2dc2e811, 0x02b12cfe, 0x29831eb6,
+    0xe8dc65bd, 0xf03b9399, 0x277bd4e7, 0x42ab6d89, 0x63003aca, 0x75f20207, 0x0fe6a10e, 0x8e0e6791,
+    0x8f8bc37a, 0xe1449d0a, 0xd8071a2a, 0xc0e6f832, 0x75500ea5, 0xc05afc07, 0x17144efe, 0x41e00c8c,
+    0x6ccdab6a, 0xca28a8f3, 0x723554b2, 0x4e227a0c, 0xf2ec90ee, 0x1974fb74, 0x5ddb6594, 0x8eee4e09,
+    0x34865fdd, 0x8dc37136, 0x8e527291, 0xe305b570, 0x459a0947, 0x987beb9b, 0xd9e39190, 0x61310022,
+    0xa94e8fc9, 0xe1c8156b, 0xca4f73b4, 0x13db0337, 0xd36c28bc, 0x7f7e3861, 0x1f9599d5, 0xcc70d22a,
+    0x094ef477, 0x86daa123, 0xd6700186, 0xcbcdd094, 0x4417493b, 0xb94d382e, 0xe65de843, 0xd0349898,
+    0xf7099c70, 0x8107a569, 0x739eab77, 0x3a221cac, 0x056f6e7a, 0x6f4f64fd, 0xd5bb2da8, 0xa06e71e5,
+    0x267efcfe, 0x7cfeddef, 0xb8efba1a, 0x9e5babb9, 0xba860486, 0xf046a7bc, 0x40e0a7f2, 0x0b4a0a13,
+    0x54de9f85, 0xd5c1da42, 0xa9f4461b, 0x6e0521b1, 0xda7f4ada, 0xe7899619, 0x721feac5, 0xa12c9833,
+    0x4558bd69, 0xe313642b, 0x42e1ce1b, 0x9d61294c, 0xbfc5aae8, 0xfb60b0fc, 0x86be5ac8, 0x5976b949,
+    0x2c9d22e1, 0xd32a5032, 0x90741304, 0x22a29d08, 0x29ea98a4, 0x2aab4142, 0x019c5fef, 0x35af48d0,
+    0xb8ae8bbe, 0xbb222453, 0x68e3b68f, 0xb5d39999, 0x2a07d31a, 0xf74d0fd1, 0xbf78dd4d, 0xdd70dcb8,
+    0xa2f5946b, 0x4b8e3c86, 0xe5266d4a, 0x50735c5f, 0x32567016, 0x87e19748, 0x5cc9ac8f, 0xca1a050c,
+    0xebd41d0a, 0xe4bb87a8, 0x6188063a, 0x5d09e450, 0xae300e35, 0x859aaf58, 0x409f80bf, 0x593aa52e,
+    0xcaa1e4af, 0xe0e3cf10, 0xb71e28ba, 0x6bd97d03, 0x389f831b, 0x0f3915e1, 0x51cb8dc1, 0x12a2c224,
+    0xd5809a92, 0x46292e70, 0x58e52dc3, 0x76a28b13, 0xb849a808, 0xafce4fd2, 0x9c28a5cb, 0xaa0fb07c,
+    0x0e0dd925, 0xb81eed3e, 0x30465ddb, 0xea79c470, 0x428cdd61, 0xb793fdbb, 0x49503f86, 0xa9f26bed,
+    0x6d1170bc, 0x3b97d2cc, 0x91a1c0f9, 0xe67c1d39, 0xe83b9b28, 0x020b427e, 0x36ae4a95, 0x1c80a390,
+    0x9bbf832b, 0xb4155591, 0xf5bb4a26, 0x9c12946f, 0x19e136c0, 0xc5081eb1, 0xc9e3fbf3, 0x93cb04f2,
+    0x8c7dda41, 0xc67a3b99, 0x6adb77f5, 0x1c2ee270, 0x26dbbc4d, 0xe00b24a5, 0x4a5e40fe, 0x2fce010a,
+    0x72655641, 0xf1f92601, 0x29d4000c, 0x87d151e5, 0xd9fc695b, 0xf07edb62, 0xf7ad7525, 0xeeb8ca53,
+    0x2da3a7ad, 0x906043e7, 0x67e41a4d, 0x7174ba40, 0x4640c859, 0x644daf4a, 0x0a73a156, 0x2c9f60df,
+    0xcb128a39, 0xdc61310a, 0xc7d0ae39, 0xcb542abf, 0x8c800ee6, 0x5e135cdb, 0x4f1c4ff9, 0x68a4d7aa,
+    0xd53fbb16, 0x577e36d7, 0x336bcff4, 0x6b6428aa, 0x99ff362d, 0xb85debe5, 0xc1f32f7b, 0xc8919380,
+    0x173f65a9, 0xcb6ec3fd, 0x5819f8eb, 0xaebac70c, 0x1ed46e7a, 0x0c359166, 0xf5977321, 0x3cc10597,
+    0x24eaf324, 0x72f45f18, 0x78c217aa, 0x6254e17b, 0x2b5a8034, 0xd48a1b1d, 0x85e1f25a, 0xeffef65e,
+    0xd1549f28, 0x58f810fe, 0xf174fdc7, 0x69e84c24, 0x8d9499a2, 0xb343d015, 0xab78bbd9, 0x1a41a8c3,
+    0xa718f6c3, 0xde78a487, 0x7bc6ecc1, 0xe825837c, 0x77190764, 0x76ec6d4a, 0x707a3e51, 0x796dd7d5,
+    0x9d542294, 0xf9aae025, 0x8de45d17, 0x8fbb8234, 0x2659a9d9, 0xf473da5b, 0x0c0a268a, 0x7803a3cd,
+    0xf661e84a, 0x6a156baf, 0xede10ca9, 0xb82d03ae, 0xc9c5c7c8, 0xe1d4a3fe, 0x6dba3270, 0x72ec4b87,
+    0xfe24add6, 0x98f955b7, 0x76dde209, 0x15a4f4c8, 0x8705333a, 0x1718ebd6, 0xce2bd8b8, 0x99b4b56a,
+    0x02791357, 0x1bf7dd61, 0x4d5e7d24, 0x8f69f5e1, 0xa4e54200, 0xe6d298dc, 0xdf42bdc8, 0x4c79f525,
+    0xc9f6327d, 0x39d90423, 0xa7c275a2, 0xe293e58e, 0x4047b975, 0x2030d3e1, 0x9efacec7, 0x783bb0b8,
+    0x7d67b9b8, 0xc869eb2d, 0x084a8c22, 0x4afc1adf, 0xdf577d2b, 0x7afcb851, 0xc1d59ff2, 0x775b7112,
+    0xeb52ab04, 0x2e0b1f4a, 0xcb5191ae, 0x88f2186a, 0x27b12c98, 0x75474805, 0xa118a4e4, 0x5fbc9b91,
+    0x7aa8464b, 0xa0e6000e, 0x4733f7d9, 0x7611c8b0, 0xf8e845fb, 0xb8454697, 0xd4f7f9e2, 0x713394ce,
+    0x1beaf078, 0x641cb53d, 0x957c9de8, 0x49f409bf, 0x73a8e4d7, 0x8457eb8b, 0xcf60851b, 0xab2668cb,
+    0x15c05e1a, 0xfd2e82b9, 0x5627280b, 0x32ecbfbb, 0xe857304d, 0x63a3252a, 0x4d68fd34, 0xeb762022,
+    0x3e96107a, 0x56561a48, 0x93150e0e, 0x512ef547, 0x78260d26, 0x4d383bb8, 0xe17460df, 0x69cbb5c0,
+    0x0f92d914, 0x2eeb97d5, 0xea2aa3d6, 0xb606571a, 0x990619c9, 0x7fdc0f96, 0x86a7aa07, 0xdbe3a94f,
+    0x563796c8, 0xf59607f8, 0xb5317ab2, 0x36c1c589, 0x413c0c97, 0x8382f456, 0xb0315474, 0xb626f07e,
+    0x2a14dc22, 0x09703681, 0x8600d8c4, 0x031a6c36, 0x2952b6d6, 0x91fafd1a, 0xf72a5ada, 0x42db9d4a,
+    0xd095c7d1, 0xe9258484, 0x9781fa43, 0x2dd97538, 0xd75f3cde, 0xa033acc2, 0x6ca66b04, 0xee76bac5,
+    0x89f304b2, 0x0d25ced1, 0xb40c76b0, 0x62500347, 0xed338be0, 0x838ad99a, 0x6e330a6d, 0x0ec7fe69,
+    0x5d376430, 0xda1add04, 0xc8ea9dc9, 0x6ab8cf65, 0xb5cc7560, 0x5eec5a48, 0x61b4f3cb, 0x074cb065,
+    0xfb444e09, 0xaecf2cac, 0x8f5e2d58, 0x83dd99b0, 0x13093909, 0x64374edb, 0x9747c538, 0x3bcebcf3,
+    0xeaf2aaf3, 0x2c1a0123, 0x60f949e3, 0xe4c695da, 0x422c9c10, 0x04784f60, 0x73596305, 0x89f5bf94,
+    0x6b76282f, 0x3cd562f9, 0xffcdbc57, 0xab6c2e30, 0x6cea3f77, 0x0be6e959, 0x6ba8a232, 0x402fda00,
+    0x19a54a03, 0x0742b894, 0x515185f0, 0xb8ec055b, 0xf207d8bb, 0x99951413, 0xa4cabe21, 0x94edfa2c,
+    0xe502c28c, 0xcaba1b29, 0x7151b160, 0x26483fa8, 0x85d1d72a, 0x9d4591c7, 0x21bfec29, 0xeed1cd77,
+    0xc7b3cd05, 0x94aa9ebb, 0x0d81a31f, 0xf0169792, 0xba1ac50f, 0xe08a8d40, 0x1f4261e9, 0x5f7a03ed,
+    0x4430458b, 0x3f2c44a9, 0xe88057b0, 0xf2741b16, 0x64da02b0, 0xa5592f47, 0x1b6b487f, 0x516e4bc9,
+    0xf1032396, 0xb5426aef, 0x49b49c5c, 0xb571e135, 0x6e632aac, 0x5773797f, 0x1f9c8827, 0xfb078b8a,
+    0xb05163c8, 0x8bd118bd, 0x04b29dc5, 0xf09a0035, 0x06703eca, 0x6795e65d, 0x04c7d6f9, 0x11634b87,
+    0x24861915, 0xe45e3ce6, 0x481f80ab, 0x7f652035, 0xd9fb7ca3, 0xf94f2c35, 0x327e7213, 0x6fea2adf,
+    0x71033101, 0xabccc831, 0x0f8bc3f5, 0xcf145ef3, 0x151aed3c, 0xe2fc047a, 0x98f8e473, 0x72a6f8e6,
+    0xb9fe17c9, 0xd642063a, 0x1dcc654d, 0x76d6195d, 0xcfba5c9a, 0x80b87533, 0x943f96eb, 0x57136235,
+    0xdbc86946, 0xc5f9f8f6, 0x65e8a5cf, 0xab33ffb8, 0x3e2fc1ae, 0xf87e9c19, 0x1cae92e4, 0xc007d3f0,
+    0xcc4895d6, 0x96fbeb1a, 0x4ba3ba36, 0x5a7055d6, 0x47995132, 0x9bec2f5f, 0xd167a0ab, 0x289e32cc,
+    0x2e915868, 0x403bfd12, 0x0d99bae3, 0x1e9bab67, 0xcc2741ba, 0x5754d2fc, 0xb25946c4, 0xb6ce176e,
+    0x491bfff5, 0x695914f5, 0x09ede2a0, 0x263f3594, 0xb037e9d5, 0xb962c4f9, 0x0d2a19ef, 0xf0a8689e,
+    0x67ff6786, 0xd29d40e1, 0x36f555dd, 0xedca651e, 0xaeb07176, 0xa42c3213, 0xfa0f4ced, 0x8c24a0c3,
+    0x0bb88d2f, 0x696f5024, 0x560888df, 0x7604b57e, 0x5e633c46, 0x325e4c5a, 0xf4c7197b, 0x1e198013,
+    0x01d8435f, 0x7f4e061b, 0xfcafa8fa, 0x052a6fa8, 0x84c0a80b, 0x2ddc8398, 0xcd56b1d8, 0x4831e652,
+    0xe3cff768, 0xb30fb3d2, 0x07d5058e, 0x4cac9216, 0xdcae4a28, 0x2a94d953, 0x9e0220ae, 0x4a5e46c8,
+    0xbd405879, 0xe3e019b7, 0x9c9d6030, 0xae77c958, 0xbb9e8976, 0xfc22dbf6, 0x8cf76940, 0x06d7e750,
+    0x08e361ef, 0x91de88cf, 0xf371bbc4, 0x3a81d326, 0x888363d6, 0xee0389a2, 0x230da658, 0x3d829b50,
+    0x702af726, 0xf54a4aa8, 0xd702592d, 0x374ed017, 0x75495a6c, 0xe5ba77bf, 0xc872a054, 0xd1cef3f8,
+    0x50d3c603, 0x30eaf2f6, 0x4db47e2e, 0x17499d37, 0x4348b1d7, 0xe817a870, 0xde9cfb1c, 0xbd2182dd,
+    0x006a049b, 0x6e53d8c4, 0xe04740f3, 0xf896f350, 0x7853189d, 0x2b5f0656, 0x63ca8560, 0xf948e574,
+    0x2dc0971b, 0x1e23e735, 0x91f954a1, 0x9e3adf57, 0x8fe86ca2, 0x9bbb26cb, 0x322fdbd8, 0xd754c4bb,
+    0xdd70afb5, 0xbdf21fcb, 0x2a424306, 0x8ca309f5, 0x9c6479b5, 0x8d6e358d, 0x21e10ab7, 0x7ac8f8a6,
+    0x972fdecb, 0xf924dd19, 0x6f41d19e, 0x2786e494, 0x4cd16b8f, 0xea8c82da, 0xe3e8d84f, 0xc864742f,
+    0x376058a7, 0x75c5b6e8, 0x41865e52, 0x6e72c216, 0x75536e11, 0x1e94b053, 0x9d808fff, 0xf86a0ab6,
+    0x75173489, 0x3a4e0f23, 0x2c76af3d, 0x8fe71ccf, 0xb542e88b, 0xad029d6c, 0x014fe497, 0x2944116b,
+    0x82fdad02, 0x11ca85cb, 0x65244de1, 0x0dc60cf4, 0x7b7aafed, 0x94ae8cdd, 0x958c4436, 0xb4b72070,
+    0xc8c0356e, 0x1c11a5a8, 0x8b2e000c, 0x4902032a, 0x9c86822c, 0x2b70cb5b, 0x2854d44c, 0x23c0baf3,
+    0x6f9ec610, 0xa5e97b6d, 0x6219c294, 0x5b3f8e94, 0xc53e81fb, 0x811f8d36, 0xa67096b4, 0x84369247,
+    0x9c27b197, 0xe50f3e8b, 0xeb0cd9da, 0x479230cb, 0x3ad501c5, 0x67af86f7, 0xec11069e, 0x0017a0b4,
+    0xc00aa4cb, 0xe728f27b, 0xf417de2d, 0x8a968f22, 0xcff4e51f, 0xfe3dba22, 0x8c466306, 0x6eadd00f,
+    0x77a10faf, 0xc499bd98, 0xbb7c13d1, 0x2a4a1906, 0xc16b3772, 0x8ad44e0d, 0xc10bebc6, 0xbb9d2609,
+    0xb7017fe2, 0x0f08d776, 0xe4ea9c98, 0x8496ea82, 0xbdbd8225, 0x42fc03f6, 0x37b5613b, 0x2cf2cb7c,
+    0x48e31be0, 0xf76837e8, 0x5f1a78ed, 0x6f397bb0, 0x83b1f66d, 0x9862bdc6, 0x0715db40, 0xe28e1cd1,
+    0x5a55e7ee, 0x8bdefb34, 0xb6ca5fcd, 0xf20f256e, 0x7f08c09a, 0x9b397580, 0x9d49bc32, 0x42d756bc,
+    0xd9e8ca52, 0xb5b615d3, 0x62f636f1, 0x4e0656c7, 0x10efe592, 0x7128cde7, 0x171c5a92, 0x6a2fd63c,
+    0x50843eca, 0x48a0db22, 0xdce364ac, 0x6dab1ce7, 0x22d9edd6, 0x07b30c3c, 0x4e8337dd, 0x4a08ad9d,
+    0xbcbba474, 0x1b0e6e42, 0xdcf7ecba, 0xa11358ce, 0x0db74186, 0x96200a7d, 0xf05c05bc, 0x3d1eb1d5,
+    0xfad3fa29, 0x0fdca860, 0xae3f8396, 0x5ddd905f, 0x7c74690c, 0x4d120554, 0x286650ee, 0xc4077e06,
+    0xf81553fe, 0x23c7fdcd, 0xd8671eb2, 0x7ed952c7, 0xf12c4579, 0x7fc73faf, 0xfb8e0bf2, 0x5ce48b0e,
+    0x4dc3a341, 0xf283f05c, 0xb7582417, 0x4708938f, 0x0f17aa1c, 0x092f38be, 0x28dd42ea, 0x0fbf6a8d,
+    0x5d224009, 0x47f4c525, 0x81daaf68, 0x3d57a1be, 0x81711fd8, 0x89ef7db6, 0x3ec2798b, 0x9d9b86ce,
+    0x00000000,
+    0xff4dafda, 0xfe492bf6, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000332306998946228968225951765070086144 */
+  { 0x00000000,
+    0x3b7ccebc, 0x9f4bbe09, 0x3ecfebbb, 0xbc268ebc, 0x51bb685d, 0x20757698, 0x3859c4ba, 0x9a9d02d0,
+    0xdba86817, 0x17640332, 0x0099ec5d, 0x982c68f2, 0x676522a3, 0xb9a71cf9, 0x8d4ef7c5, 0xcd516ba9,
+    0xb63b1d78, 0x6fd3ece0, 0x87337bc9, 0x648962a4, 0xca1018d3, 0xfad79a2e, 0xfe0a4981, 0x1281667e,
+    0xa1c5ea92, 0x96df2487, 0xf37b7f38, 0x57c60949, 0x96963dd8, 0xcf55acbd, 0xbf2c41bc, 0x8bd16120,
+    0x1fa27c3b, 0x96a11619, 0x3a9e53d2, 0x0814be70, 0xdc862502, 0xa2a00c3b, 0xf1e05f15, 0xbe2f23ef,
+    0x1f763fe4, 0x36a8e825, 0xb7e766b1, 0x4deb57d2, 0xb446306c, 0xde86b57c, 0x0400fb74, 0x2c949f83,
+    0xd8366d5f, 0xce0db8b8, 0xd4a7db49, 0xacefd985, 0x80a91c4e, 0x1ade8353, 0xf135bd77, 0x81eac02a,
+    0xdbd23651, 0x5821f6c2, 0x41646e40, 0xd9ab88d1, 0x59a8cc67, 0xbac3297f, 0x361b5c01, 0x238a5bd9,
+    0x2bde7b96, 0x716a4c29, 0x33b3f856, 0xfb7caf28, 0x6142a312, 0x9964ffb7, 0x7fe2c6cc, 0x27aabb8f,
+    0xeac4159b, 0xd2f07e84, 0x03b494b1, 0x0fdf17ae, 0xb3eaf91a, 0x58ea2554, 0xfcb32c05, 0xe1606c36,
+    0x17820637, 0x815870d6, 0xe1a13f86, 0x87444cbd, 0x3e1a338e, 0x964e80a7, 0x12a9fb62, 0x0f0029f7,
+    0xc7a6c820, 0x1148925f, 0x446e4842, 0x6989b699, 0x69c8b7d9, 0xc20e5246, 0x38952ee8, 0x55b1d43d,
+    0x99cfdeb8, 0x222c2321, 0x5924eee8, 0xc817589b, 0xe126dc76, 0x8bbdadd6, 0x2f30cfa5, 0x91164a64,
+    0x314c31fe, 0x54be436f, 0x18ded730, 0xb0992867, 0x8b4b9fad, 0x1a9ef6df, 0x612ec913, 0x599ae3fb,
+    0xbebb556b, 0x3c1fe10f, 0x7a943696, 0xedd59c62, 0xfa1270b5, 0xf135aef2, 0xcd3597f9, 0xb69e39e8,
+    0x05d87159, 0x4a742b4a, 0x79b3555d, 0x29ffc070, 0x05dda352, 0x0e90a286, 0x4186bcf1, 0x372ecf77,
+    0x63a4084e, 0x05d07536, 0xfe0404ef, 0x025cdcaa, 0xef668245, 0x6342ccc6, 0x9824a21c, 0xc82ee28e,
+    0x0ba74764, 0x9a6df830, 0x39b1e22b, 0xf801e771, 0x418d8e8f, 0x3e6f705e, 0x90a1c115, 0xc6e5b7db,
+    0x861f563e, 0x66828178, 0x70f9af67, 0x6b2426f0, 0x7b42a6a3, 0xe15a34a2, 0x03ffd52a, 0x0a78a5fb,
+    0xe9609357, 0x7a48cea9, 0x4d2627f2, 0xde7955fa, 0xdb72e9af, 0xa8eb0687, 0x9ae8d43d, 0xbfa8f6e1,
+    0x6bbf03e5, 0x823cbecc, 0x08b34f2e, 0x68c56f80, 0xd1d686fb, 0xc56542be, 0xf945c3fb, 0xc24dac59,
+    0x1f5678dd, 0x582d452a, 0x349ce44f, 0xd633638d, 0xd23c166a, 0x6a4dafc3, 0x0d81869d, 0xbcb90180,
+    0xc02a6ae4, 0x6b9d0445, 0x61dc8029, 0xa39d6c4a, 0xd1240754, 0xbdbea6b3, 0xe0afe359, 0xeb6cd11a,
+    0xee52e400, 0x82e69c02, 0xea4594d9, 0xfb5e979b, 0xe3b40044, 0xf20c9c51, 0x38c398de, 0x57e70d26,
+    0xbf5597c7, 0xb259052d, 0xe1871357, 0xe48bd90f, 0xae1447e7, 0x520e49a0, 0xcaea0f8a, 0xb254c95a,
+    0x0eea3ecf, 0x2b4e791a, 0x29a023e0, 0x3667a592, 0x3a7b1688, 0xad36c864, 0x7072ac20, 0x3c398afc,
+    0x504f15b6, 0xccd2e505, 0x5697cd39, 0x1c986fd7, 0x96e466d7, 0xa397e5fe, 0xada65034, 0x43b3da05,
+    0x6a4fb8fd, 0x6bc49e2b, 0xb5fa69b0, 0x001e536c, 0x99377a23, 0x62c49175, 0xfed3021d, 0xaf8389ed,
+    0x6a298240, 0x2a7f1306, 0x17f292f2, 0xde1e7518, 0xbeb13381, 0x07aa7cd7, 0x34edde27, 0x2d04097b,
+    0xea40b549, 0xa4ec7612, 0x141c1013, 0x8f0465c8, 0x846a1008, 0x5ec72578, 0x6005e603, 0x551cc1dd,
+    0x46d5476f, 0x58200e59, 0x0d48b9af, 0x0313971f, 0x60c1fb7e, 0xc08bfb6f, 0x8bf42256, 0xe45465fd,
+    0xb19c5c0d, 0xd3b84c7a, 0x411e185b, 0x934551c6, 0xe231368d, 0xa7953e63, 0xc643ec9c, 0x4b21247b,
+    0x966d97d8, 0x42460aa1, 0xe80e9099, 0xefeaf3a7, 0xe13d280b, 0x93fd1dd8, 0xcb54dcf0, 0x73861aa1,
+    0xbe0be969, 0xb1d6b73c, 0xf8631005, 0x3636106f, 0x9c30ba1e, 0xc0696b84, 0xa6812ef2, 0x44ae863b,
+    0x715ba544, 0x4dfd7117, 0x103d0563, 0x18a6ac2d, 0xa7fe6815, 0x73e7bfbd, 0xfbc86bed, 0x28276c0d,
+    0x911b51f9, 0xd6551f21, 0x9d2e9ba3, 0x43d89eb8, 0xbbab1515, 0x793eab34, 0x95fb8c58, 0x74812942,
+    0x78ed53dc, 0x4f83c44f, 0xa260bc7d, 0xd74d05ab, 0x5ea1406d, 0xc79798e8, 0x6d6363ec, 0xd249e251,
+    0x4f4cfba6, 0xcdfcf60a, 0x219f542f, 0x2fa61d69, 0x394a5550, 0x109d107b, 0x070194ba, 0x52fa5704,
+    0xc45e00c3, 0x8079bea3, 0xb76d1b69, 0xa71085bd, 0xb45af4c5, 0x1995af78, 0x5c31b21a, 0xce43fbc3,
+    0x5d5037c8, 0x76ca735e, 0x3994dd3e, 0x307da7d4, 0x1a2fabda, 0x2a6da5ac, 0xef9799b0, 0x59f2cb10,
+    0x5758cb1e, 0xc75183d4, 0x871cbff0, 0x41159891, 0x419eaed9, 0x0fcd6ebb, 0x4d905f0e, 0x4bca5fdf,
+    0x51b5b4b3, 0x32f67cea, 0x0c8f1d1f, 0xa45dafb2, 0xe79daee0, 0xba1874a8, 0xfffd2bf8, 0x033bcb1c,
+    0x8b682b43, 0xb85446db, 0x95fdbf7d, 0xad9daaab, 0x621d9655, 0x5272bb2b, 0x2d4a86d6, 0x71c58b13,
+    0x65155a0f, 0x93107795, 0xe90c4043, 0xbcd7fe1e, 0x777f17e1, 0xd2668050, 0x1dc33a44, 0x285ef829,
+    0x86d3dc11, 0xe953feef, 0x165bb744, 0x5f98b6ca, 0x1d89d885, 0x766d9b11, 0xee73b90d, 0x6942c0fd,
+    0x2f6ac421, 0x83bae28a, 0x70338be0, 0x2e154f52, 0xa7add158, 0x451b40b9, 0xd200fbd1, 0xe87cd89e,
+    0xa3cdf0f4, 0x5da29da8, 0x45348b2a, 0x95d55ad9, 0xc3c78568, 0x252af132, 0xc49d0ae9, 0xf79a8657,
+    0x7acdd4c0, 0xf125b212, 0x6abb7bee, 0xd372a577, 0xfedaa48d, 0xc0f92b68, 0x3d1196c2, 0x57944dd5,
+    0x05bf949b, 0x34fc72d9, 0x22dc3332, 0x93828554, 0xc1fd280a, 0x5d170a0a, 0x41d659f2, 0x5bcecfd6,
+    0x1f4e8958, 0x36ea958f, 0x1e34be77, 0x6e4d1f62, 0x15b72165, 0x3016849d, 0x8238d612, 0x9d43c3fd,
+    0x3bdd81b6, 0x7236b7f6, 0x48859f44, 0x94af3d50, 0x0debb563, 0x3384b560, 0x3311d8f2, 0x8f7020e5,
+    0xa3ade957, 0x3b7bdf93, 0x08c994c8, 0xcfb5d015, 0x1b90c7e5, 0xfd70a500, 0x33f1ece5, 0x9159caea,
+    0xc3352880, 0x15aef22a, 0x28ff70d6, 0x75a27be3, 0x8082aa6c, 0xee997695, 0x52a89d7b, 0xa217fdc7,
+    0xfc9f4021, 0x5984f1f6, 0xd894fd8d, 0x038c4f5c, 0xbafd49c5, 0xd64aa7aa, 0x031c940c, 0xed2c3433,
+    0xe4710d1a, 0xa1412f22, 0x82093dba, 0xea7e1d62, 0xee22ff0f, 0x386d6402, 0x525268ff, 0x01b662b8,
+    0x504e80e6, 0x2c091b19, 0xfc0ca4cf, 0x3a132443, 0x1c910d54, 0xab57c30a, 0xe049638a, 0x30d1b597,
+    0xa7c3bd09, 0x4fac7892, 0xf0df84a0, 0x848df84a, 0x1deaf73f, 0xe315933a, 0x0d5cad3e, 0x397df6fc,
+    0x2fe0a129, 0x4cdc0fc6, 0xb781913f, 0xee2558b9, 0xc0dcc4db, 0x1b13a646, 0x78343401, 0xfdaaea1f,
+    0x4b8c4494, 0x7af0af4d, 0xca2a0c28, 0x67ed6613, 0x6cc47622, 0xa4ff973d, 0x60ec9c40, 0x333c91f6,
+    0xd99c65fb, 0xbfc937b5, 0xfd38bab2, 0x3d6c6336, 0x38b7ee18, 0xc0e0a8f4, 0x5fd1e33c, 0x05136a8f,
+    0x8e4c42db, 0x0881b8fd, 0xe3e52214, 0xc377ac82, 0x39b75d56, 0x91550fec, 0x8c1f1a83, 0xb958c8e3,
+    0xfe9ee36a, 0xd099e7c8, 0x9908e170, 0xa6100924, 0xd6fbf4bc, 0x9dac1703, 0xf4e82fc6, 0x16dde763,
+    0x237fb28e, 0xc9785f41, 0x99bf5eac, 0xdd0af0a4, 0xde483fc8, 0xd599f50f, 0xa880fc4f, 0x83e906db,
+    0xde040722, 0xef3aa9f2, 0xb0f63681, 0x87ae28f1, 0x3fa93e0e, 0x5c3789c7, 0x3f54df98, 0xcef15070,
+    0x96dcfe24, 0x9334537a, 0xd131cdf4, 0x07dc0061, 0x5197c23c, 0x8795bf89, 0x8ff000fd, 0x315cca54,
+    0x48d98cc8, 0x41d129e3, 0x24a5f535, 0x14f491f8, 0x3c7c72b3, 0x60961e2f, 0x268ae7c5, 0xd0e66033,
+    0x980d1dfa, 0x69d326ba, 0x59f187fb, 0x31e950a6, 0x81bf3038, 0x32083d52, 0x0aa925e2, 0xda30872e,
+    0x0a1d1dc9, 0x2b9225bf, 0x8039a118, 0x659eee64, 0xce1598f4, 0xc74f3546, 0xf4d23fa4, 0xf38b9384,
+    0x19030176, 0x0f922614, 0x8749b0ed, 0x43006bf2, 0x8a0bcb2f, 0x5cf168b7, 0x494ca082, 0xd029a859,
+    0x68610452, 0xd2e89e4a, 0xe0d9e875, 0x56766ed9, 0x485a5ad1, 0xe2eb4647, 0x33465c85, 0x4616c70d,
+    0x89361a4d, 0x10b5c203, 0xec775764, 0x944d8ad3, 0x948233a2, 0x63349450, 0xb99f30b8, 0x3255d008,
+    0x6017f36d, 0xddc14ea7, 0x2fc4b23a, 0x58fbfc65, 0x1f054fe7, 0x6bad5210, 0x09e160c0, 0xf9843faf,
+    0x1d29b2bf, 0x417d8575, 0xff233186, 0xff99dc68, 0x88b795e0, 0xd96c8b41, 0x8c7e3ed3, 0xdd68c720,
+    0xac61d350, 0xecfca407, 0x3421c5a2, 0xd262640c, 0xd33c037a, 0x5a5816b2, 0x5e41dd77, 0x8c4fe058,
+    0x407961db, 0xdd9ad469, 0x52b924a1, 0x2ce51f36, 0x3267677b, 0xb1aa07cd, 0xe7a9a4d4, 0xa08aaa80,
+    0x6eee7c77, 0xbb3dc745, 0x94014c23, 0x54f1063e, 0xeb530702, 0x7a3c857f, 0x174cf9c4, 0xa754d043,
+    0x9fa1921a, 0xe405b01c, 0x5c080d17, 0x197cd9fd, 0x0cc23caf, 0x4b7edbc8, 0x0bd2bf39, 0x8937b6e0,
+    0xe6146e47, 0x3b54c4da, 0x5edaff8a, 0xf39965a7, 0x71b99748, 0xa4634561, 0x609297c3, 0xbb886ab7,
+    0x4e319b4d, 0xb55cc046, 0x314e5abd, 0x10972799, 0x6f6ecb9a, 0x4057339a, 0xd2182db6, 0xec4ca337,
+    0xd2414788, 0xa008b8ee, 0xe1b75d2d, 0xd06a0560, 0x64437908, 0x563f05c5, 0x19ba2991, 0x5d62f6fc,
+    0x00f4b21b, 0x679b8ead, 0x2c9c3335, 0xd5ed41b5, 0x0e8be1e6, 0xbde937f9, 0x87f1ac2a, 0x057ccaf0,
+    0x43445e84, 0x6ab930c9, 0xc75cb1e2, 0xd42e4de4, 0x8169fc77, 0xf5ba0ecb, 0x0dc527bd, 0x07ff767b,
+    0x9f0df2a1, 0xf847d5c4, 0xb32a078c, 0x4bab7a21, 0x29794e41, 0x7e0aa49f, 0xb45b676b, 0x7a4160fc,
+    0x91db9ba8, 0x3a0039c7, 0x53c76c3f, 0x2b9b99c6, 0x0b6f6875, 0x075ea045, 0xc22ddedd, 0xe3f42546,
+    0xbfd1f801, 0x569c23a6, 0x7e525fc0, 0x3f728836, 0xc0b458f4, 0x49eaa37c, 0x5b41c07e, 0x9ae33133,
+    0xcc46198f, 0x47192039, 0xeb118e81, 0x9968755f, 0xb4d02b5e, 0x3084602e, 0xa8e99d97, 0x00a2fe68,
+    0xc142a3aa, 0x12f8c7c5, 0x83f7fbf8, 0x4695fcf3, 0xcbfb6759, 0x7efcc890, 0x1c8a198c, 0xa2076d06,
+    0x1f5eeacf, 0x3a130735, 0x9b4bae84, 0xfee9304b, 0xdc48d46d, 0x66270c2d, 0x5815877a, 0x2176966f,
+    0xb710ffb6, 0x552e70ae, 0x53cfa9f9, 0x0262979f, 0x5a732a4d, 0x4cc683ed, 0xf09d28dd, 0x5765927b,
+    0xf63909fa, 0x446ca201, 0x716e0cd4, 0x6574fcb2, 0x29690495, 0x5fad0799, 0xde8c2935, 0xde988d80,
+    0x327ea137, 0x50038f72, 0xe95f0dd3, 0xe11ef856, 0xcbb02ed2, 0xf0d47af1, 0x2e95a107, 0x6d2174f2,
+    0xe2df8f29, 0x4cd802a4, 0x39812fb5, 0xa90821c8, 0xa5798a9c, 0x8f6fa666, 0xc8286b0e, 0x4734a70d,
+    0x136395b1, 0x1d4c2843, 0x04f8d401, 0x55d18dd1, 0x3064142f, 0xe0c954e5, 0xb4eaec8a, 0xf55c8e6d,
+    0xbaa53112, 0x2a6d2a56, 0x86f7a21d, 0xc8420b10, 0xd2a9a1d5, 0x05170a8a, 0xbdfa4a4d, 0x38d84c5a,
+    0x494cb92a, 0x8113263f, 0xc3aafe84, 0xe5b73aa5, 0x85577cc8, 0x5349c091, 0xb0d0ffef, 0x6d092d73,
+    0x45c4365e, 0x140d56d6, 0x92f61dff, 0x2641bcef, 0x551c6ee5, 0x0d7de29d, 0xfac4b0f1, 0xd14eae46,
+    0x02cb8a9e, 0xe489b567, 0x433d36a5, 0x61bbc152, 0x828cc3f0, 0x7704553a, 0x402ba5b6, 0x10586c1a,
+    0xacf009c7, 0xb7a5955a, 0x0e6fb220, 0x0af0b509, 0x7cbdc182, 0x04b31c8a, 0xa8bdd653, 0x03080f86,
+    0x07f001f2, 0x0bb6f231, 0xf8307371, 0x3b525cdf, 0xac88e82f, 0x8323b9bb, 0xa1706afa, 0xebb054a5,
+    0x6f2dbffc, 0xf59a7ecb, 0xb1f34b6d, 0x76cdfb76, 0x7d6a571a, 0x5d9e7742, 0xec0fa51e, 0x447ff12f,
+    0x4c6a092b, 0xc38a7c28, 0xd485de72, 0xc18c2071, 0x631b5ebf, 0xa262025c, 0x5d7742ea, 0xbab65d91,
+    0x9d2a619f, 0xbd228dbf, 0x678d0ae3, 0xa70118e7, 0xde65be53, 0x4867dcde, 0x2246fa16, 0x825977f7,
+    0x2c7400ee, 0xdc8e06fd, 0x82686bce, 0xb9973d73, 0x3cee9e4e, 0x9903181b, 0x533bb01a, 0xc044ab5a,
+    0xab36d146, 0xf6adfa6a, 0x1829c366, 0x66461d42, 0xdee81172, 0x7309174b, 0x1901fa14, 0x4f0c374b,
+    0x4db766fa, 0x8aeef2d3, 0xb711a0bd, 0xebceada8, 0x99c6e86c, 0x1df5ec42, 0xd02ff73a, 0x36d16172,
+    0x957fc088, 0x99cd9836, 0xd2db35de, 0xd849b552, 0xbe105388, 0x0dbcfea4, 0xfd54a7c2, 0x5b12aa09,
+    0x3b38820b, 0x11a356d6, 0x56b5b54e, 0x004d6c39, 0x225ce911, 0x7a91b875, 0xc5b2fb31, 0x71b57991,
+    0xb672c705, 0x9765f4da, 0x14ffd116, 0x915f316a, 0x2ac640a5, 0x09b002f9, 0xdc1ffd45, 0xe1136b00,
+    0xfb08602c, 0xfa3c16df, 0x2c56e461, 0x3871ae7d, 0x4d881659, 0x37d296e2, 0x61e4ea61, 0xb22e6f0e,
+    0xd0fa4929, 0xcb3514c3, 0x4c3f7136, 0x217f054b, 0x332dd613, 0xc41482c1, 0xf4db913a, 0x18e67c53,
+    0x78fba707, 0xf2b0ce24, 0x2caf5d71, 0xf1e652e9, 0xd6212072, 0x99daee38, 0xc220c8dc, 0x54e7dbd5,
+    0xcee4c335, 0x1071081c, 0xba69104d, 0xddba8d04, 0xf0e02285, 0x4c20b06e, 0x7eb1725d, 0xa12ce70c,
+    0xb19ba1ab, 0xd80221f1, 0x7b8fa9d9, 0x8d9aa488, 0x3758a3a7, 0x68a7f820, 0x88cdd7c1, 0x38c506f6,
+    0x61a470b0, 0x26c479e1, 0x12421f16, 0xdbf665ed, 0xf4ea0521, 0x94d402f9, 0x42d6bf78, 0x6536f6f2,
+    0x45acc3f9, 0x07842c15, 0x50a7ba37, 0x66890311, 0x2003dbb6, 0x49ec71c5, 0x9a2ca6dc, 0x68fabfdc,
+    0x926ef84e, 0x2c52b9bc, 0x1e5bf699, 0xc28b1a90, 0x0b9811a3, 0xe1f6efad, 0xf6b0febf, 0xa4aaef1d,
+    0x525bfe9f, 0x2f518224, 0x9fa19901, 0xe615fc6c, 0x01205543, 0x2b212a43, 0x6f47d88b, 0x49417073,
+    0x661454a6, 0xcfa1e42e, 0x6c28ec7b, 0xa5f3137d, 0xfbee8fa7, 0xe4b1b167, 0xf6bf6753, 0x2958447f,
+    0x6740d34c, 0xb8f47023, 0x61f15313, 0x3738c053, 0x92917dfd, 0x8d45d6af, 0x46d9854b, 0xe92933ce,
+    0x2c18d6a9, 0x56605ec1, 0x76d66c6f, 0xf8207b25, 0x84ea279f, 0x5a01105e, 0xe54af034, 0x76781e3c,
+    0x0f5a2d24, 0x3ff89985, 0x8b49d846, 0xbbe45149, 0xfbc01e53, 0x25e59a98, 0x92e0a04b, 0x91d7af1f,
+    0x5109740d, 0x696d1dd3, 0x64f177ef, 0x4ab48791, 0x879eabbc, 0x5eeb7dc9, 0xd99099c9, 0x7632b33b,
+    0x132d26f1, 0x8f1e15b0, 0xb4527f34, 0x9560487e, 0xdb8411be, 0x145fdd59, 0xe52e7503, 0x38c04965,
+    0x91d58016, 0x2e413d0c, 0xe09bb9de, 0xaf222511, 0x5f8d97bd, 0x9d14fb10, 0x3e2c6429, 0x0c182248,
+    0x69f7a21c, 0xc8f1c71f, 0xf754d0b8, 0xdf43ade5, 0x2e70e13d, 0x61c520c8, 0xedcc528b, 0x79977ab6,
+    0x7d47feb4, 0x54458917, 0x525d9a36, 0x565ed72a, 0x01b8a0db, 0x50e031fe, 0xdc1c5b0b, 0xc8ddef9d,
+    0x00000000,
+    0x7fa6d7ec, 0x7f2495fb, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000166153499473114484112975882535043072 */
+  { 0x00000000,
+    0x606cbe31, 0x5d0d31ea, 0x69801dc8, 0x702f6d3d, 0xc84f4c84, 0x23327903, 0x026e089b, 0xf53d57bc,
+    0x4a2bde92, 0x88e23553, 0x8c62aa67, 0xb8271145, 0x7d99d2bb, 0x124149af, 0x4996efc3, 0x52c55350,
+    0x685619d4, 0xc04dece2, 0x1852dda2, 0x3344712b, 0xeae6d426, 0x75f3c93a, 0xc965841c, 0xd00e51e4,
+    0x0c921bd2, 0xe31439db, 0xb0b91f26, 0x2806935a, 0xb24b1e1e, 0xec88a38d, 0x0419d7a3, 0x325a5b7d,
+    0xdc5d456b, 0x97abf9d1, 0x6b02e75b, 0x8511e838, 0xa3b68956, 0x58fe5b52, 0x92b46469, 0x200fa973,
+    0xc4a0fab2, 0x522d4a62, 0xde092d80, 0xd8f94fbb, 0xe20d236b, 0xc28b6b3c, 0x00410010, 0x26924eae,
+    0xe1b18608, 0xbf880b6e, 0x0cd36feb, 0x44e0ef9d, 0x120acccd, 0xae271f6c, 0xb2d885f7, 0xbb5be750,
+    0xd15405dc, 0x8849353a, 0x89ad3d12, 0x8f86443d, 0xb17cb1af, 0xb4f67200, 0xc6da1a1a, 0x69065279,
+    0x2977a9e3, 0x1ac0b70a, 0xec81bdeb, 0xc856cfd7, 0x6c71c17f, 0xf97aaaa5, 0x4ae3691b, 0x002c2382,
+    0x4a250377, 0xfb5fcb59, 0x6a72c5da, 0x5664e531, 0x01ae39e7, 0x505679b7, 0xf0502396, 0xa9d52f8e,
+    0xeff696d2, 0xc9e496ee, 0x7edb90bd, 0x2f33e379, 0x7fe19838, 0xf68908ea, 0x32c1b5a0, 0xc7a5fd3a,
+    0x960ded23, 0x4c356658, 0xdea6a40b, 0x03385f82, 0x1085e4b7, 0x99c0e4ec, 0x85c5f519, 0xb2752e6d,
+    0xf09e5f16, 0x67743646, 0xd050b2ab, 0x9659d8a1, 0x3247d752, 0x05760d7f, 0x15d78411, 0xb3100196,
+    0xda3884ce, 0x937890d2, 0x693f328e, 0x8546d496, 0x14153832, 0xf5582267, 0xff7ea7e0, 0x3521a8dc,
+    0x7630fafd, 0x456696ad, 0x7826ac4c, 0xbd3e212b, 0x0d71c55a, 0xf8584953, 0xf3ed118c, 0xf28f8609,
+    0x9e084885, 0x4921a9b0, 0x0be6a4c5, 0xba4c5ab2, 0x82a49d31, 0x1f487b8f, 0x149d2f76, 0xe48311c1,
+    0xd1098155, 0x64d3be1c, 0x10b92e8e, 0x7a912b8f, 0xaf623976, 0x8586e3fb, 0x38415b0c, 0xea8f4f44,
+    0x0ef01ce3, 0x6a1d2afe, 0xd8dc742a, 0x76cd6590, 0x549abe7a, 0x2496ff0f, 0x9e7adefc, 0xd36016f9,
+    0x2350da09, 0x3da99f2d, 0x23e76ee8, 0x9ae94258, 0x35e5a8d6, 0x32b8659a, 0x49d0ccca, 0x19034151,
+    0x0779444d, 0x9792ef15, 0x7dc533f9, 0xeea34647, 0x8c9d8705, 0xdc36aa6a, 0xabf336c8, 0x126b97d6,
+    0xcad810e7, 0x1858b9ab, 0x7159627b, 0x4ce1b80b, 0xe3c1eb2b, 0x7cece25d, 0x0f2a6c47, 0xf4f214f1,
+    0xcf23ac99, 0x500a218f, 0x3305d044, 0x3a404d29, 0x9993548a, 0xdf71435c, 0x4824e9ba, 0x3ba5eefc,
+    0x55fe5cf3, 0x9c5ed9cc, 0xb4e2d50f, 0x4f44ca0b, 0x1b8f00ee, 0x3d7a4f35, 0x4b2eadc3, 0x0966470d,
+    0xccc24b32, 0xc495f234, 0x26323059, 0xb2fd2484, 0xadcccc89, 0x4669b1c6, 0x698b5463, 0x5d4cd7f2,
+    0x816590d2, 0xcb3dc23a, 0x0f623cc6, 0xd3de2f23, 0x2558e9e6, 0x4f93010d, 0xddc34148, 0x2cbc8229,
+    0x71fa2cf4, 0xb5456c67, 0x5eca07e9, 0x06f05b98, 0xe2b33af3, 0xe505149a, 0x9dcd9c9c, 0xd8b08be1,
+    0x400cddf3, 0x0d1d12b4, 0x7ebb3661, 0x520e1139, 0xc409eebc, 0x12159038, 0xc4036fd9, 0x0070caf1,
+    0x093f9876, 0xa667e359, 0x72fe429c, 0x50d59d6d, 0x93082b38, 0xd7dc5ab3, 0xb8e2d0c1, 0x2b5ce4db,
+    0xf49846e3, 0xa3afe105, 0x5c3fb577, 0xede81e1f, 0x1737dac9, 0x1e447e93, 0x739e6025, 0x1209ab95,
+    0x86da6c43, 0x660c897b, 0xe1c6aba1, 0xb854666a, 0xb05486a7, 0x39844fff, 0x4b33d882, 0x0d871c75,
+    0xf510d643, 0x18c0f6a8, 0xe388ec6b, 0x17e07deb, 0x9419da88, 0x70461b0b, 0xee8434f0, 0x2fb47d74,
+    0x74c008e0, 0x781813f7, 0x2bf0eec8, 0xa26884b9, 0x0d687679, 0xffba0bd2, 0x1814ea71, 0x2e4f43a2,
+    0x2e3ff7a8, 0x6d5787d6, 0x2bbe7b83, 0x147af54d, 0xf5e9a3df, 0x23e1990f, 0x60f375fe, 0xbdbdaeaf,
+    0x420aeaab, 0xc71c753a, 0x11987814, 0x5bdd751b, 0x3e837690, 0x896c72d9, 0xc52a26e1, 0x0d2446d0,
+    0x14c05e8a, 0x727ae511, 0xfca3dec8, 0xe8f0d130, 0x28df6ab8, 0x2826f27d, 0x7ddae199, 0x4862fc14,
+    0x146c3037, 0x58bed854, 0x521a765e, 0xc5329dd6, 0xaa8d84a9, 0x44caf82f, 0x37651671, 0xe44fb0c8,
+    0xea7a60cd, 0x3146c17a, 0xcaa945b3, 0x20c7f2b9, 0x15d5ffed, 0x152321ab, 0xa6e39d8e, 0xeb01c647,
+    0x853ef75c, 0x36e31d13, 0xe778a2d0, 0xe2391399, 0x077d90ed, 0x75d794da, 0x81ae2ff4, 0x2a660feb,
+    0x06a6c033, 0xd2b7a6f0, 0x332f7659, 0x8c90a0de, 0x2c81e0ca, 0xeed06789, 0xe47781ab, 0xa8ffdb6d,
+    0xe501b492, 0x9cee9a4e, 0x079c4dfb, 0x2d225f18, 0xa04638e1, 0xabf4d9ec, 0x670f87e5, 0x8c4b7cb6,
+    0x71aab727, 0x6568858f, 0x3ef66e80, 0x6905c510, 0xea20e77c, 0xf617d311, 0x016238bd, 0x6429aec2,
+    0xd25d3575, 0x2f877448, 0x89ccd708, 0xd36be49d, 0xb445de5b, 0x4a267a0e, 0x7b4ffaa3, 0x6cf0e464,
+    0x34781156, 0x790f5d33, 0xe8637784, 0x10e5a34e, 0xa0a4a224, 0x75b60aeb, 0x455fc14a, 0x3c36b376,
+    0x88b59f83, 0x789fe0d4, 0x7d7c7d9d, 0xeef1d856, 0xba80be11, 0xa9b1caa7, 0x19033973, 0xc0a13c93,
+    0x8f72ff1a, 0x52c3202f, 0x2bdbd56b, 0xafa0b4e4, 0x8c993461, 0x01a2a60a, 0x5bad7b32, 0x269143e1,
+    0xcd044129, 0xd63d65b3, 0xd1bd4ccb, 0x7c4f3c8a, 0xce865687, 0x62b5b9c8, 0xbde7ef53, 0xde3c7e06,
+    0xc773bae7, 0x9b247f5f, 0x258d22df, 0x2442474f, 0x5e7495ce, 0xd6ab58ee, 0xaa0f4214, 0x61a51e75,
+    0x79be62c1, 0x02d88a40, 0x71b9d842, 0x85fb6ec5, 0xfbcb2e02, 0x393eb6aa, 0x58098a4b, 0xcce7bac8,
+    0x3a074c3f, 0xaebea004, 0x2b5100fa, 0x393e91ab, 0x1e24d2b1, 0xe1dcf507, 0x6ef3fbcf, 0x12d7bbc8,
+    0x80b45db7, 0x823748a7, 0x01ac4d3e, 0xb9cda576, 0xbd012c94, 0x96ec32bd, 0xae46482f, 0x8892418a,
+    0x2fcd7efd, 0x697c4587, 0x065ae5d9, 0x124caea4, 0xc6dfb9d1, 0x951a712c, 0xea50322b, 0xfba2ea6d,
+    0x933e52a4, 0xf45bd290, 0x31cb8b19, 0x96b2c241, 0x95473e0d, 0x1f6ed8e0, 0xa96bbd07, 0x407b4ab4,
+    0x0d3feadd, 0x87a87515, 0x136add01, 0xcd0991b9, 0x08c3b405, 0xc51a18ef, 0xcdf9921f, 0xa8d1c124,
+    0x04a7fdb9, 0xcc026d64, 0xf30e06a6, 0x16ca9a31, 0x38865573, 0xf16de8c9, 0x06e0796f, 0x6d02eb77,
+    0xeb2cbdf1, 0xf4a8a6c2, 0x73f98121, 0x71ecc506, 0x641f615d, 0xa176d43b, 0x3b68e9ae, 0xfa0eb18f,
+    0x560e490c, 0x08ef2595, 0xf2828dad, 0x9bc3c6b2, 0xfd1b3b7b, 0xf1d77eec, 0xc6b19f3c, 0x7803f450,
+    0x8a3e7614, 0x7882e2d9, 0x3c01f251, 0x44021761, 0xa4f56480, 0x9a6332c6, 0xee3ffbd5, 0xc3a86a29,
+    0xc116d460, 0xd754408e, 0x3242ea8c, 0x8af019e2, 0x2de843c0, 0x0d125968, 0x56b4beaf, 0x406f4646,
+    0x9de44969, 0x905a487e, 0x3979bb90, 0x6f2a6c32, 0xb3b7533e, 0x702561cc, 0x0713fd73, 0xaa81f745,
+    0x0e801597, 0x3be061e2, 0xee610c9f, 0x1d517ee7, 0xacc3249f, 0x0744684c, 0xe92b8b40, 0x7d93051d,
+    0x598cb099, 0xa3d69226, 0xc3093b5e, 0x50202771, 0x88abf4df, 0xc90d4a62, 0x84e64cc2, 0x596891cd,
+    0x1b559313, 0x7dcc5791, 0x35511296, 0x333c618b, 0x815c8e7d, 0xd94bdd61, 0xc138d69b, 0x355f8abc,
+    0x74f62b3a, 0xed05b649, 0xcc46f882, 0xcff8a805, 0xaf7d61fa, 0xc338d5ae, 0x57355ed2, 0x717c4502,
+    0xcb151396, 0x9d15d5b1, 0xafbc1bbf, 0xc7db623b, 0x920188ac, 0x35215e0a, 0x042cb6be, 0x5faf0e86,
+    0x02c495ae, 0x70f30493, 0x7218d0ce, 0x9c6dce72, 0x2b810c9e, 0x430736d0, 0x9412059a, 0xb2df5a5f,
+    0xcbac18e0, 0x8572af9e, 0x7298a22e, 0x7f4a4a51, 0x8951192d, 0xcfc10076, 0x888c4dbc, 0x202b6f52,
+    0x9e38c0b1, 0x4219e814, 0xbe9b7ca2, 0x77d5c91f, 0x53e3b42a, 0x46299288, 0x1e98ec59, 0xa1b9c3b7,
+    0x6252d664, 0x146e0095, 0x0d7358c0, 0xd794ff18, 0xd8dbbfcb, 0xb568f1d9, 0x7590319b, 0xdc7677ba,
+    0x41aa472c, 0xda07367d, 0xf909df63, 0x48d563e9, 0x81f7f5ec, 0x3bcfb2b9, 0x89282210, 0x4b66846d,
+    0x6c248407, 0xdd1b8289, 0x27fd7306, 0x8b1e08ed, 0xa399d853, 0xc7039b94, 0xe51e3446, 0x1d4f0180,
+    0x2b915481, 0x3a4fdc66, 0x569d7399, 0x42c229a3, 0xafbc99c7, 0x68b674f6, 0x4e34c825, 0x8bc6ad72,
+    0xed0ebd94, 0x2ac0648d, 0xbee02e96, 0xe4f67df3, 0xc96f16e3, 0x9941e2d5, 0xf685fa1e, 0xf18a2169,
+    0xeee92635, 0x6b70528f, 0x85d8ccaf, 0xd275e1a5, 0xe268e7ef, 0xb3d51689, 0xd269f183, 0x52fd4f94,
+    0x78673bd3, 0xa9ab7922, 0x716bd48d, 0xc1cd73c6, 0xaab4084e, 0x22bd8aee, 0x8c04d837, 0xa03af588,
+    0x3822524b, 0xd7661963, 0xde9a6e16, 0xeb943fb2, 0xd58b4d56, 0xd7813f27, 0x5dacae70, 0x53c3b935,
+    0xa8be225b, 0x29bb5ac1, 0x2e1e89f6, 0xf82c23e1, 0x090379a5, 0xb25c267b, 0x593e88f6, 0x9ebaec9c,
+    0xca379471, 0x073a5adb, 0xf52626e4, 0x0b6080de, 0xa1c1b24b, 0x1b6cecc3, 0xc74106a6, 0x22f834b9,
+    0x85e5ff5b, 0xe62add27, 0x5253736d, 0xe1983c76, 0x272479e1, 0x3afb1e77, 0xeb31c589, 0x9df1de5f,
+    0x7575ea82, 0x91c0e714, 0xb27d4f05, 0x41439bd4, 0xd1575e59, 0x526aa698, 0x85fe077c, 0xf0c57082,
+    0xa00eb91d, 0x77db0518, 0x91f5a5a7, 0xffa134ac, 0x79571fdc, 0xa4d911bb, 0x94c63ce8, 0x39b323f4,
+    0x642cd51a, 0xfd2208e4, 0x8fa9bfda, 0xbef7a0b7, 0xa3c8778a, 0xd12a512a, 0xd827fba5, 0x6adb981d,
+    0xf0a070a4, 0x5d0e4c13, 0x67b618fa, 0x27d667d9, 0xf20afb47, 0x8a936ae7, 0x4b513bc4, 0xae2c0654,
+    0x63b07e04, 0x0dd8be65, 0x864441fe, 0xd8226097, 0x019202cd, 0xa40b94ff, 0xc43ff5dd, 0xe70c0231,
+    0xbe6558b8, 0xd32b0791, 0xb779ced1, 0xa9d3451a, 0x1eaf080c, 0x84b2c0c6, 0xffe7f7d0, 0x3bc23ab9,
+    0x83df5bf0, 0x8a481af7, 0xee4b33b0, 0xd34b7013, 0x46517677, 0x68484e0c, 0x6ee677ff, 0xcc4eb329,
+    0xaa36a6a1, 0xae0ac4b5, 0x99a3e17a, 0x12038e78, 0x85612309, 0x3a62ec80, 0xde671129, 0x78371a2c,
+    0x4e3ea1dd, 0x3ccce9b3, 0x1dd2bddc, 0xf9cbe8eb, 0x4e0ac248, 0xb2f0d5ed, 0x4ce1e487, 0xfcadf270,
+    0xdbfb7e68, 0x917652b1, 0xdc0e17c6, 0x478a2c59, 0xc79666b9, 0xabc1754e, 0xab697bdf, 0xd6d6cacd,
+    0x22bd21d3, 0x78d80094, 0x34a79710, 0x934db89d, 0xd51f5e1d, 0x860a3c60, 0xca1f683f, 0xb2c60186,
+    0x8e968270, 0x9ad871e0, 0x0effb985, 0x499a04dd, 0x27561c41, 0xd861a7f8, 0xb33a8ab8, 0xa2683274,
+    0x2d5f0fe6, 0x0a9aa0b5, 0xc66bb0ac, 0xe00f36ad, 0x3b580c15, 0x8e2d5e96, 0x9f6bf2a2, 0xd144c89d,
+    0x8c509547, 0xb1e9cc7e, 0x817a4337, 0x020f91cc, 0x0c050d6e, 0xde93fc7a, 0xf699c39a, 0x1de26e20,
+    0x8d125e7f, 0xd9401ade, 0xbb940344, 0xaebdf2b1, 0x07a901ac, 0xab30ff9a, 0x347aaf74, 0x8374c98c,
+    0xe426d649, 0xfcceeb2b, 0x5a0b8ebf, 0x93ca751e, 0x4bbb66a3, 0xcdb2cb88, 0x009f6fa5, 0x2a7674f3,
+    0x16e58d32, 0x211e8848, 0x0d37e523, 0xc71411e5, 0x26844756, 0x5c519b52, 0xbe0a1d22, 0x0df824a4,
+    0xe13b00f2, 0xdafaaad2, 0xab756ad7, 0x341eed0b, 0x70949d3f, 0xd39cecc1, 0x0a9429e2, 0x16016806,
+    0xd7449933, 0x0e498f96, 0xae2065d5, 0xd7e51fdb, 0xcacc0fd5, 0x72b07b43, 0x02dd52b8, 0x8ffc2e46,
+    0x544a3be3, 0x0f6f0b8e, 0x6cad84c0, 0xd84993a8, 0x10acf753, 0xc42cd721, 0x3dff4ef2, 0x7bbd1f8c,
+    0x47ce8635, 0xde291656, 0xbe1c41e4, 0x86075564, 0x4d7643a8, 0x53ab525b, 0xa576e0d5, 0xbaca791a,
+    0x2c320c03, 0x387349c9, 0xd3de9ce3, 0xd8584306, 0xc43b206e, 0xc0376666, 0xf5d092f3, 0x44ca9a15,
+    0x6c6df740, 0x04f36784, 0xc32ea879, 0x3410c077, 0x2eb5ff70, 0x9330512a, 0x50427b57, 0x557021ad,
+    0x3f3f5713, 0x0dd4ef32, 0x55692378, 0x0d7d8abd, 0xc5225db5, 0xb3e70b70, 0x12ddfec3, 0x7352f3db,
+    0xfe48804d, 0xcba6fe1d, 0xa2e552fa, 0xacab2431, 0x6cafc8c1, 0x31d53d23, 0x87bf0c2d, 0xbda60b59,
+    0x9a350c0c, 0xf8fde1cd, 0xf36ff0ec, 0xa5cc38e2, 0x9c86d779, 0xad09c23d, 0x3902e5d2, 0x260a4308,
+    0x97c6ea8d, 0x956f2ccb, 0x277b8995, 0xa6623635, 0xa7382019, 0x55c1f579, 0xd33d48ca, 0x1fcee02e,
+    0x741eed0e, 0x3e0769f4, 0x50a983e2, 0xb1485a73, 0xa6a74d80, 0xd143860b, 0xa9c0d759, 0xb6e713b0,
+    0xe55d2d82, 0xff5049b3, 0xd6c4b5fa, 0x58fa50c1, 0xc9622369, 0x74c87bf1, 0x124dae0d, 0x6a052f10,
+    0x4c9c436a, 0x73ae977b, 0xc022c645, 0x899af5ff, 0xed9fb162, 0x66e47c1e, 0x2f3ddba6, 0xdc327e1a,
+    0xd321e5ed, 0x7f227e53, 0xc049d301, 0x8892e795, 0x5c049bca, 0xc649246d, 0x816ef947, 0x8cebf17b,
+    0x386a1d07, 0x5291e68d, 0xda717d01, 0x8be58854, 0xfaf0dcd5, 0x7aed8a8f, 0x1e40994d, 0x5d386084,
+    0x4be9a35c, 0xb78b4418, 0x8a7b0baf, 0xf6a70546, 0xa1170cb9, 0x92cbdff2, 0x24d2a2d9, 0x18c21fd1,
+    0x866d22db, 0x2a07b4d7, 0xe58d8a76, 0x95aaf225, 0x443b2cb5, 0x8117c79c, 0x8fc9db39, 0x9f936974,
+    0x4ca256be, 0x23eae197, 0xf1e49f31, 0x4ef490c0, 0x2227ceae, 0xf6fa1d4f, 0x4aa4ad43, 0x243c4510,
+    0x9ea594e8, 0x1956278e, 0x709b210d, 0x8c822edd, 0x00f00db0, 0x9f3b5d63, 0xb7a8f47f, 0x96d40fb6,
+    0x09d9479a, 0xb96f8539, 0x1349d9c9, 0xe2e1a279, 0x0e72b846, 0x745d49b2, 0x33fc10aa, 0xeadcca7b,
+    0x3cc5d483, 0x08456a6b, 0x93d3701b, 0xedb2636d, 0xb4d8e059, 0xabdd1d77, 0x24f915a1, 0xfc5e1439,
+    0x85167f1c, 0x8f8ec297, 0x3cbf78c8, 0x957135d2, 0x6837dc27, 0x1af6fe92, 0x556de5de, 0x3765bff1,
+    0xfd5f6776, 0x0c07dc6f, 0x11eca48a, 0x975256da, 0x6ee22835, 0xa931d825, 0x1f67b9ff, 0x51606102,
+    0x299a57fd, 0x001630c6, 0xfaba51cc, 0xe37b6898, 0x6429768f, 0x5af47f89, 0x61fe2bc4, 0x300eaccf,
+    0x97a6449d, 0x4c09db9f, 0x1a930d73, 0x154cb007, 0x62a96372, 0x7c5e7594, 0xbcd1f3b4, 0xecb7de86,
+    0x65b4c935, 0xdf3e3c4f, 0x56b32c72, 0x3eb38a63, 0x017bce24, 0x200862d2, 0xf0214f53, 0x5df52715,
+    0xe6cf827b, 0xe7838e8b, 0x7b77973b, 0xdbd4f801, 0xee9fdb6f, 0x8e14aefe, 0x10891712, 0x4e7978b5,
+    0xfbbcb350, 0x55c9d4b8, 0x79ad47df, 0x7200c6d3, 0x379e613f, 0x8396fe77, 0xe44ec936, 0x8251d06f,
+    0xd30aa244, 0xb27e9adf, 0x02f2270f, 0xb8c805fa, 0x89bc09c3, 0x4743d290, 0x0556fb5b, 0xfae72c88,
+    0xe7795a4f, 0x26d49daa, 0x1e8c1533, 0x0f212c76, 0xf7d7e51e, 0x71d22fc3, 0x78c4ebc6, 0x786f581f,
+    0xf7b0df0f, 0x8fd54188, 0x66259537, 0x13731299, 0x7c0ee88c, 0xef934998, 0x2fbab2b0, 0xe2c39904,
+    0x00000000,
+    0xbfd36bf5, 0xbf924afd, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000083076749736557242056487941267521536 */
+  { 0x00000000,
+    0xb3756cd9, 0x32ab82b1, 0xf871a57e, 0x70663f62, 0x145654a9, 0x9a5c1c86, 0x01b4bfc2, 0x778701f9,
+    0xdd7aa105, 0xf4e9e9e6, 0x506869ca, 0xbe7dd8b3, 0xdfdc51ed, 0x8eab319d, 0x56f820fd, 0x17bbc4bb,
+    0xef785b7e, 0x247a603b, 0x595a45b0, 0xb7e24495, 0x3340d596, 0x6a59db76, 0xe7212d6d, 0xe4b1aa8b,
+    0x5a9f7696, 0x67d4ee9f, 0xd16f9499, 0x94160d49, 0x722d8e26, 0xcd2928ce, 0xe5f807cf, 0xa6d55469,
+    0x844d54c1, 0x85e0f791, 0x5cb4646e, 0x2b959495, 0x791fd27c, 0x4506de80, 0x68d6baed, 0x4437bd55,
+    0x8a050ba5, 0x1a3c629e, 0x3689ba01, 0x171c659c, 0xdf37106b, 0x77b39641, 0x69d6dc4b, 0xd4d20f61,
+    0xf5e14b4f, 0x890f71cf, 0x869b2df4, 0xb8ff6c0b, 0xe827f6e6, 0xd8e7e75a, 0xfabf26e8, 0x4ff6dc8a,
+    0x16d36838, 0x132aa247, 0x179e4cc4, 0x52bfe6e3, 0x8ef1eaff, 0x628de634, 0x410282e2, 0x89cdde86,
+    0x96d6edee, 0xc0b68ea0, 0x95011d2e, 0x065bcc06, 0x40187675, 0x344b078c, 0xb4bcf77d, 0xb277bf42,
+    0x903ea752, 0x517d4b53, 0x7df6eee6, 0x9670815a, 0x2b11c4c6, 0x19229457, 0x52f0d062, 0xa00da92d,
+    0x3e977908, 0x69fad47f, 0xd3882742, 0xf86b5a56, 0x9e70ab41, 0xe8d651e8, 0x38aa4c8e, 0xb9930bb2,
+    0x5bb62a76, 0x6e899481, 0xd2b83a78, 0x3aeb1b0a, 0xe40d64d3, 0xaf3d2a8d, 0x0e4d57bb, 0xcb9a3ca9,
+    0xaf960a6d, 0xcde19973, 0x20b8e730, 0x4d5556fa, 0xf59262bd, 0x086d106b, 0xbcdfaf06, 0x826a948d,
+    0x6d706988, 0x78eba68d, 0xb12eface, 0x044cbe4b, 0x5a409ce6, 0xc5bf5498, 0x6e530dba, 0xdba41062,
+    0x63fb4618, 0xc4a5c608, 0x8ad6a0f4, 0xe96b3e2e, 0xf0a65d95, 0x2b683b02, 0x2f4b92c8, 0x97826851,
+    0xa0977f1b, 0x0f7f5a9b, 0xce942b74, 0xab8452b7, 0x82ffb891, 0xeb7cf07e, 0x053f1b58, 0x3ccdbf47,
+    0x448fcc7f, 0x2c0bd063, 0x5c9cfe56, 0xbe098c49, 0x7d0f5378, 0x62fc9654, 0xc477f3aa, 0x46de8fc8,
+    0x8db5716e, 0x11fac1c8, 0x97b37649, 0x25e65ed3, 0x19e57a6f, 0x81f0147c, 0x008b9857, 0x7249b89d,
+    0x62e4317d, 0xa43a7eff, 0x8c42686f, 0xd562546f, 0x1d839800, 0xf21f15f1, 0xf49c8627, 0x8b6260e4,
+    0x4a8fb857, 0xfc053f3f, 0x244121f1, 0x283e3c8f, 0x7d2dabd3, 0x5e5bbe8a, 0x02ff1c86, 0x59362777,
+    0x829e5613, 0x1305b021, 0x69905122, 0xf667039f, 0x3d251180, 0xc4e419fe, 0xced15200, 0xcbe15ac8,
+    0x174e9db3, 0xd3bb36c6, 0x3276da24, 0xfefcd58a, 0xb72996c1, 0x4b1d1db6, 0xc30ff45c, 0x674b28be,
+    0xab89831f, 0xa4d377e8, 0x7a604ae3, 0xb56f0e69, 0x8fc6e4f8, 0x050226e1, 0xe05e86f7, 0x3b6ea9ee,
+    0x9e46c50a, 0x4135059f, 0xb1348d1c, 0xc9e69767, 0x2f2209cc, 0x2e821e84, 0xb8e25e8e, 0x0c588941,
+    0xfeb6fee0, 0xd4ba4641, 0x7b32a1b7, 0xbd370beb, 0x031b07e9, 0xd05496b8, 0x16ee55d0, 0xb816daec,
+    0xfbc16f68, 0xb126a075, 0x41d4cae0, 0xb631442a, 0x20fb061d, 0xb4f9e480, 0x815dca88, 0xea6a29bc,
+    0x883018c1, 0xee84c464, 0x5755d8fb, 0xbbd41f23, 0xe505c338, 0xcd91b7a2, 0x13f1dad9, 0xdf99fc35,
+    0x301c7be3, 0x89d73214, 0x90759026, 0x73f363de, 0x72069c63, 0xd363dee7, 0xc57976d6, 0x75314fc8,
+    0x08ef269e, 0xfacd7603, 0x6536aebd, 0xcad1b619, 0x0e08c770, 0x537f9ac4, 0x1f46b1c6, 0xac04c363,
+    0xaffe2104, 0x6ee482cb, 0x0b6bb753, 0xd3042678, 0xc2584d24, 0x15d0cfb5, 0x36608154, 0x785ce9c4,
+    0xfad179f3, 0x4ab536b7, 0x09f593b6, 0x833eaffd, 0x6fbec37c, 0xa028035e, 0xd506e098, 0xef71e1ca,
+    0x5955a52a, 0xf7af1df0, 0xeb954d68, 0x9f2fea18, 0xd1a4cf08, 0xa38f37b4, 0xcd269e2c, 0xf5c23506,
+    0x5fac11e9, 0xd75d2dcd, 0xa91c0600, 0x700a9027, 0x166f0043, 0x2c8f662a, 0xd13721d1, 0x5e137e4f,
+    0x6f31e26e, 0x6d42d525, 0x028935e0, 0x990149e0, 0x53c06ae0, 0xecbd6e3d, 0x5d10350b, 0x1a9b3281,
+    0xd5e7ebfe, 0x1c9c7ad3, 0xdfd5d553, 0x90ae9746, 0xdcc78084, 0xeda0089c, 0x1e21bb62, 0xd7bfad19,
+    0xd418c8ee, 0x1270dd63, 0x56a5620c, 0xfe7ca0a1, 0x3bc52e24, 0x068d581f, 0xb11071f2, 0x4caa415c,
+    0x56bee11d, 0x9ef9d17a, 0xe6da70e5, 0x80127b9d, 0x9b3faa90, 0x3196b4a4, 0x72131611, 0x33e9582c,
+    0x83f156fa, 0xbd5b611a, 0x89fe19e0, 0x1f649fd2, 0x67e8f56c, 0x515926ec, 0x0343bc68, 0x7b805dc6,
+    0x23fd436a, 0x75e77872, 0xb61bc492, 0x11d8e182, 0x21c83897, 0xecaad96c, 0x14ec8924, 0x0189a08b,
+    0x10129d62, 0x6c299fcb, 0xa479ba80, 0xa4be50c7, 0x92d45b91, 0x085e65d7, 0x72705dff, 0x0bf9ebf1,
+    0x5a65a047, 0x8ab58974, 0x2a376461, 0xec627bad, 0x5d6b0c2a, 0xf4e6963b, 0x0a94532a, 0x53396a83,
+    0xb111a51f, 0xeb2348bc, 0xca3d33e1, 0x7aa77fc0, 0xb6569be0, 0x46fc8b63, 0x8fd42b6a, 0xec6bdfe8,
+    0xf665b16e, 0x6e6f2391, 0x26089d9c, 0x9f554729, 0x27059508, 0x1230cf09, 0x3cb0b0bf, 0x039440eb,
+    0x679909e1, 0x9df31245, 0x14a9ccaa, 0xbe0be155, 0xe344420f, 0xa0c0e738, 0xbb5ccf23, 0x1c7cae07,
+    0xb979b302, 0x99bcb6df, 0x259885bc, 0xcb30bf06, 0xe4ececff, 0xdfbb156f, 0x34162211, 0x86954d03,
+    0x3e4aa55b, 0xb7743568, 0x2cc5830b, 0xe99b626b, 0xfb5d88dd, 0x33b08860, 0x7a85b653, 0x92bc7e0a,
+    0xb513134d, 0xd00f2ca4, 0xf245fffa, 0x0c002841, 0xadb7abe6, 0x062c2232, 0x0e519f61, 0x9b5be86c,
+    0x55883de0, 0x705c205e, 0xf83f977c, 0xacd355e6, 0x126a4aa6, 0x85fc7e2e, 0x76316d59, 0x81fc9a19,
+    0xb7a0b881, 0x83539578, 0xc4ce0d00, 0xf0cbcbee, 0xcf0b6f10, 0x3c75537a, 0x242d9c0e, 0x686797af,
+    0xf1917cae, 0x871674d0, 0x7619fc98, 0x7807d181, 0xa80ad061, 0xf591c9de, 0x5154ab54, 0x98640bf6,
+    0x04a6d130, 0x46c88e39, 0xa4fc0b14, 0x693ca5d3, 0x489ea0a5, 0x3771137f, 0x8ed6c441, 0xc72e0e62,
+    0xb3812282, 0x66941b62, 0xd2e99fd1, 0x6a3b7592, 0x70e1e16b, 0x46b508f7, 0xc7fa61ac, 0x10b4a43e,
+    0xc4614f4f, 0x64a8b313, 0x876487b4, 0xc1dbf320, 0x51b91bda, 0xc052f7c8, 0xff920e4b, 0xf13bd13b,
+    0xf9dcce99, 0x43132202, 0x6ca99636, 0xdfcd1521, 0xf5658893, 0xd1d0789c, 0x8eb87e8d, 0x6b2f8d5f,
+    0x21ab82a8, 0xb988f4b9, 0x542a2bae, 0xd3810372, 0x3b7baec5, 0xce39611d, 0x985013d1, 0x45ba2ab6,
+    0xbdacc0ca, 0xd6f4ad0b, 0xf6365ed2, 0x913e2571, 0x6ff08c60, 0xb8da586e, 0xe925210c, 0xa2890a52,
+    0x23061767, 0x6574bb67, 0x75357eca, 0x54200cdc, 0xeb60b121, 0x22d24fde, 0x7ecff52a, 0x2fb77265,
+    0x37cf7596, 0xea888372, 0x6f8a3584, 0xcb6a2ebd, 0x835bacd3, 0xf99dc24c, 0x640c49d1, 0x7ef788d2,
+    0x84311f76, 0xb6d87b0c, 0xd76d459d, 0x3651a9e7, 0xdd322cec, 0x0ceaf069, 0x608fa4d4, 0xb2da25d9,
+    0x398897aa, 0x9e3fc3b7, 0x3446b098, 0x2d8848cb, 0xaa918341, 0x408c44bc, 0x8280125e, 0xbd51d485,
+    0x39f52ed0, 0xe5c58666, 0xc69091c3, 0xc61eedea, 0xc12999db, 0x6f967de1, 0x03e91662, 0xbb7ee2e0,
+    0xbe6e1516, 0x779e9803, 0xd9fc86b1, 0x28abbf62, 0xcfa254b1, 0xf5e4d289, 0x93b5f03e, 0x994052f8,
+    0x5d5ca85e, 0xb6ca4e6d, 0xf45f0129, 0x9fc2cd20, 0x09a43ae3, 0xb3fef689, 0x197f282a, 0x41dbed01,
+    0x560eef40, 0xc6a8c81a, 0x1c7d2b1f, 0x00a688ad, 0xfe013a72, 0xd6d26b7c, 0x4da400e6, 0x666cdad2,
+    0x29b80b93, 0x46194e3a, 0x21b74298, 0x8e3c3868, 0xfb5372d7, 0x162cf92c, 0x1601ab5f, 0x19fc10dd,
+    0xf9c850ee, 0x892f3c20, 0x6a78c04d, 0x840193a1, 0xb79d26b5, 0x2384033e, 0xe34980ef, 0x33721b59,
+    0x45138a17, 0x2f1ea5e5, 0xffa87e6f, 0xc68159ab, 0x7019f05f, 0x7b6b2657, 0x194536e5, 0x2d8df9e8,
+    0xa0a97a97, 0xb045396a, 0x7f57558f, 0x8ba68268, 0xc02f4b56, 0xb1c2cce0, 0x39ed5f5c, 0x6fb499c8,
+    0x68cf44a6, 0x5aea92dc, 0xfd0f4c4c, 0xea5ac47d, 0x9a1e92bd, 0x676d5da5, 0x445e36ed, 0xf5c2c147,
+    0x6b0e0aec, 0x80184bfe, 0x6e9e404f, 0xe62bc269, 0xd73c84a8, 0x286d9715, 0x289e70f6, 0x57233aed,
+    0xb282ecb5, 0x19262b09, 0x0dc96a30, 0x2c590017, 0xc3771758, 0xa17f2005, 0xad29007a, 0xed5db932,
+    0x12ef6545, 0x3383f3ba, 0x6e0407c0, 0x16509325, 0xde5e7317, 0x150edb95, 0x22b36375, 0x131db43b,
+    0x13e4b093, 0x32b0910d, 0xa427c3e9, 0x9a92301c, 0xb582dcc7, 0x210632e4, 0x9252036b, 0x3f270745,
+    0xf0c9c3a6, 0x1d09d066, 0x9f08bc4e, 0x5ea84eaa, 0xb9f0dac5, 0x79d34144, 0xf9fb8ea1, 0xb805e99f,
+    0x245004fb, 0xa93684ba, 0xd84cb406, 0x228ba9f1, 0x65f547aa, 0xf458498c, 0x0d774f0e, 0x1731bb49,
+    0xd1739f8f, 0xab2d629c, 0xace7d45f, 0x080e3606, 0x230559da, 0xf6222dd3, 0x3bcc30b3, 0xeed1043b,
+    0xeda1002e, 0x9a261238, 0xf307f039, 0x8da6b0a1, 0x04c23ece, 0xc95af3e4, 0x5639c2af, 0xd85eec44,
+    0xb1c83c72, 0x12182891, 0x0ba74263, 0x1cf147cd, 0xa6ee2011, 0x302e63b2, 0x5ff44bc7, 0xabdbb274,
+    0x7edff25a, 0x368ffbd7, 0x713e2fb6, 0x9158828e, 0x5c123da9, 0x08b3c1b2, 0xd870b957, 0xbfe0e5fb,
+    0x5e5590fc, 0x99a54801, 0xf5d46ce9, 0x3a5a7140, 0xb7101d49, 0x6061313a, 0xb4da43ce, 0xecc02d89,
+    0x23a8d3b7, 0xf7361518, 0x61ddef0e, 0xddb1a120, 0x985886fd, 0x62496028, 0xc5fd64d5, 0xb6ed719e,
+    0x00384594, 0x4e61cd01, 0xf3425f9f, 0x74c74d1e, 0x49aeca84, 0x0a78fd1e, 0x5fd97fcf, 0x255ef495,
+    0x55970d66, 0xc5c7356b, 0x95ab913d, 0xba0009c3, 0x7ad5a1d9, 0xcbd4235c, 0x2fc68b71, 0xbe5ee7a4,
+    0x33bdde41, 0x3b699ee6, 0xcd1affad, 0x876da06d, 0x6156c2eb, 0x03d78bc5, 0x57ea4be1, 0xb9db69b5,
+    0x2022f916, 0x1099aa3a, 0xd46d2ebe, 0x237b67ef, 0xb72466f1, 0x2440db7a, 0xaf2b95ac, 0xf9cc7e80,
+    0x27c1ff7b, 0xeb2f3ff5, 0x78a59c62, 0x835ee0e5, 0xc5e89e31, 0x32cd4e1c, 0x0e35d5c2, 0x9d3946bf,
+    0xdae709a6, 0x40775cdd, 0xf8321051, 0xb2e92aaa, 0x79ad4102, 0x3fee0cfe, 0x10f1534e, 0x07e817a1,
+    0xb68635ed, 0x627a0be2, 0xfa8afd9d, 0xe05f0d3a, 0x7cdcae41, 0x03525a65, 0xfbc6de60, 0x2180da59,
+    0x782e3c7f, 0x72184d00, 0x79f1081f, 0x681c1bdc, 0x3f00b0e8, 0x926e38c0, 0x6c8f8d3b, 0x826bb00a,
+    0xaa5d7696, 0xd737d4bf, 0xb46aa963, 0x2d00174b, 0x03832404, 0x4125d765, 0xe7a32ee2, 0x3989a6f9,
+    0x16d03de6, 0x45808863, 0x648d68fb, 0x7e000e34, 0xa8e8a671, 0x88275d33, 0x01d7f61b, 0xbf127278,
+    0xf3ca9f76, 0x9968fe3e, 0x8589c995, 0x2920c3e1, 0x6b883281, 0xb65f7d82, 0x49003f99, 0x956c7daa,
+    0x883827f1, 0x845807e7, 0xb7374e27, 0xbe14a91a, 0x5dfdf35b, 0x97b275c0, 0xc7730ca4, 0x0c8b167f,
+    0x93162f11, 0xef42f22d, 0x6a2f2658, 0x2d1d24ca, 0x1adaa8a3, 0x640cd8d3, 0x15ade155, 0xed536b88,
+    0x1ded4dbd, 0xe80e310d, 0x75030abc, 0x2b0f9517, 0x8fbe3674, 0xfca70a22, 0x990a38db, 0x87a9cd41,
+    0x93ed5f70, 0x2b221f3f, 0x58db59bb, 0xd6c879f7, 0xe193732f, 0x2b218a5e, 0xc9dfa753, 0xfefbb2ad,
+    0xf7afa9b5, 0x82f73edc, 0xbee26de8, 0xe52152a7, 0x12096809, 0x33edef25, 0xb8c7a6c0, 0x09b88dc2,
+    0x5a3210c7, 0x1d7aaf7a, 0xf7abf463, 0x9f1e5539, 0xf7319cd7, 0x20990da1, 0x2765ef2d, 0x9f833482,
+    0xa9d4433f, 0x3cd6d23d, 0x239f40f0, 0xf4514946, 0xc8af9f47, 0xcd69b56d, 0x09690781, 0x12a22b93,
+    0xfcd5e6bd, 0x767deab4, 0x1aca2172, 0xab139343, 0x391db30b, 0xe0a73140, 0xdfc819cb, 0x959c9f92,
+    0xe0b7a072, 0x65438d34, 0xd35146f6, 0x003d5972, 0x1e028518, 0x18913bef, 0xd26400c6, 0xdf01e60f,
+    0xc3fdf177, 0x033910ac, 0x2631affa, 0xd892c6cc, 0xd657ac1b, 0x97c51f26, 0x8b060f77, 0xd61cfea0,
+    0x3004746b, 0xf36148d8, 0xc91795f9, 0xfd6b1f2a, 0xb07a1201, 0xa299e979, 0xcbf11f33, 0xa47d76a8,
+    0x8366e746, 0x0c2a4713, 0x4db7e0c4, 0x80eef4db, 0x1912024d, 0x500b0dc8, 0xbfd52311, 0xb53101d9,
+    0xc4464785, 0xc2138078, 0x06b358c5, 0x7d68e957, 0x6befad69, 0xc7b48c41, 0xac3b913d, 0x43529421,
+    0xca6d32aa, 0x28765b6c, 0x1c16d676, 0x88f34b5e, 0x2e8d044d, 0x6fe5a476, 0x2a2f262c, 0x84a8e53b,
+    0x926d58fe, 0xb1ec2803, 0xeb4d4bda, 0x16b417d1, 0x0e166b7a, 0x94c3abe8, 0x09bf386d, 0xda94b234,
+    0x0193875d, 0xf2b18a81, 0x335a32c7, 0x58521baf, 0x760b59cd, 0x48c2da5c, 0xee252851, 0x88e64fd2,
+    0xf1d39bed, 0xe554b236, 0x1dcd1616, 0x282a10bc, 0x0f324635, 0x06075189, 0xf437f2cf, 0xe2df3ff2,
+    0xcbf23bc1, 0x9604d764, 0x254946c0, 0x6957352b, 0x55cf7627, 0x94d54bc0, 0x0c312d66, 0x22352db7,
+    0xee0dc4d1, 0x1dc08406, 0x0822b4dd, 0xc21c7d87, 0x69816e0c, 0x01d2b776, 0xe300ca75, 0x78302a66,
+    0xb03f9d9f, 0xd34226e7, 0x5bec9095, 0xb34d474f, 0x086e250b, 0xc84272b5, 0xf837bb90, 0x4fb619f3,
+    0xdbdceda4, 0x243dcc55, 0x2401aa81, 0x33e9bee8, 0xea6fda23, 0x6056f8c3, 0x2b291128, 0x2b970f3f,
+    0x2b7c2322, 0xe02fc931, 0x054039c5, 0xcef9548b, 0xd76fef3c, 0xbde49b1c, 0x64193090, 0x6c498004,
+    0x07200f98, 0xd2c1be01, 0xc2159894, 0xf9dc6e45, 0x4eb1e353, 0x9e0fae27, 0xf3cf67c3, 0xf672c770,
+    0x1c3a4a11, 0x5a6dfb9e, 0x20760a71, 0xa0e6650f, 0xa48a230d, 0x4ffdcf63, 0x6233bdbe, 0x1449209e,
+    0xde9b9934, 0x18732ccc, 0xf4e3b366, 0xdc84baba, 0x541f4ee0, 0xb044b7d0, 0xf96eb95d, 0x3d4233c4,
+    0x5265d6ff, 0x3ea5881d, 0x509dc84c, 0x85c11259, 0xb5f77b89, 0x7cf5bbf3, 0x9fb4e851, 0x990ccc9a,
+    0xed324ff1, 0x651211f6, 0x73693466, 0x066580d7, 0xe2890a03, 0x5e0cf55c, 0x100ae72d, 0xa27a40bd,
+    0x551001c5, 0x0ff99ad0, 0x974e6ab8, 0xea74f61a, 0x7a1234dd, 0x61af1b80, 0x4cce2d42, 0x4f767ec4,
+    0x3e784315, 0x9af15d3c, 0xfad52627, 0x31cdde58, 0xbfd4fb0c, 0x92236b35, 0x0b2c8dcb, 0x12c8e0d9,
+    0x0d92ea98, 0xea61270b, 0xe8f47b9e, 0x626d01f4, 0x79093bd1, 0x09f1f701, 0xb0ee7e5f, 0xc82eb0ac,
+    0x52f53bda, 0x35698b9b, 0x2fe86e74, 0x4075c1ca, 0xd8f6cddd, 0x7a2b62ed, 0xbe91682e, 0x199d1e19,
+    0xf18e61bb, 0x7acd16c1, 0x1ab3305d, 0x525229ac, 0x1b132ca2, 0x0dd086cd, 0xb0d546a0, 0xf6deb901,
+    0x942a828e, 0x315d4d1a, 0xc711abc8, 0x7235bc0c, 0x8d3287ab, 0x88beb23e, 0x96ec85fe, 0x6dc85208,
+    0x635e1798, 0xf18256b0, 0xdb1b767f, 0x3e7cf075, 0x2500c3ec, 0xfa450e09, 0x288aa89e, 0xaa5e9dc5,
+    0x00000000,
+    0xdfe9b5fa, 0x5fc9257e, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000041538374868278621028243970633760768 */
+  { 0x00000000,
+    0x24aa6bbf, 0xac4b72f5, 0x2d53a9fc, 0x90c49363, 0x4919e990, 0x69883566, 0xf8bee040, 0x7ef09646,
+    0xf558c8aa, 0xe4c44ce4, 0x15ea5026, 0x38cb2e13, 0x8703322e, 0x28ab3a39, 0x8e46b5a7, 0x7bc66d64,
+    0xf9b73047, 0x802e7b06, 0x54774025, 0x373e524b, 0x3fcb6815, 0x7b234216, 0xd4b1e141, 0xd5633e80,
+    0xf0775f40, 0x341a66fd, 0xb26de65a, 0xbd36ae2c, 0xdd5f2c7c, 0xcd6d9c5e, 0x7412cd3b, 0xf36f94a4,
+    0x6c1f2c12, 0x1e644d43, 0x03c6004f, 0xd00b3f80, 0x84094dc0, 0x11769f84, 0xf631fb9e, 0xc12d4b67,
+    0x1120d9f6, 0x7c4492a2, 0x8b8d6c93, 0x0bb7e162, 0x2c1b612c, 0xe0eef126, 0x20d36113, 0xd93677e7,
+    0x6a34662c, 0x41abb382, 0xa455218e, 0xc162c634, 0x86169749, 0x14dd5d07, 0xdfe0af4f, 0x5753be5d,
+    0x14f62ec8, 0x8c50101f, 0xc7749894, 0xf72a7b46, 0x370d2dc4, 0xb0c134d7, 0xa1845bb2, 0x925a9652,
+    0xe5f55054, 0x0e6d1e07, 0x0d8b9097, 0xf354c0b7, 0xdc80966c, 0x040d9613, 0x6fc0639d, 0x69218cac,
+    0xbe5e0c16, 0x173d8c69, 0xc5eeed09, 0x300137a4, 0x54eb4626, 0x52b584a2, 0xdada5cd8, 0x0e72468e,
+    0x76644848, 0x26bffdb9, 0x9501a6c5, 0x2af92e22, 0x28f6d002, 0x1522c225, 0x47f3e679, 0x45992476,
+    0xdc6f9f26, 0x0f5a1e6a, 0x9384411d, 0xebda7160, 0x80ce7490, 0x9dca1738, 0x06a5501e, 0x3d01f947,
+    0x9ef514bc, 0x083ce49c, 0x64933cfd, 0xc3b5fb9b, 0xd6d4e549, 0xf0fc2fb0, 0x9c43bb19, 0x45c2f08e,
+    0x0e122606, 0xf3db12e5, 0x9cd104e8, 0xe9c5c12a, 0x46628c97, 0xde68a364, 0xdb666bf3, 0x062abb18,
+    0x6f316053, 0xefd113f2, 0x60b0391a, 0x1c2b317d, 0xc04b331b, 0xfb42cec1, 0xcfa9fefb, 0x8d9040f4,
+    0x394e5c2b, 0xbc49bbf8, 0x280c2425, 0x8c6609fe, 0xd07617d8, 0x63b0ea36, 0x0eee34a2, 0xb4a92377,
+    0x17993f9e, 0x3256cae1, 0x2cf43e4f, 0xa481357b, 0x92d2ba63, 0xdf72ee02, 0xbea0b7d5, 0x040d4394,
+    0x644ed35c, 0x9bf03d05, 0x5537f73c, 0xe8bd9af2, 0x1d4b36bb, 0x52fe442a, 0x5bb07b92, 0x68cfe474,
+    0x3cac5bef, 0xd3922a2d, 0xc4c8bc3c, 0x1b4c97ca, 0x25602dd2, 0xe9a2aaf7, 0x663662fc, 0x4a12b099,
+    0xf6c7ad63, 0xa491e54c, 0x127528c3, 0xd4c047ea, 0x31989de5, 0x73783d94, 0x16e4eb6d, 0xd83c1862,
+    0xdf4ffae5, 0x034fc034, 0xc64c2113, 0xa70243bc, 0x35b594f0, 0xb345fcc8, 0xad7737ca, 0x9d42d955,
+    0x102cf6ac, 0xb2bfebd1, 0x674ad8f0, 0x6f4ff61b, 0x60575903, 0x3ddc3a86, 0xb2fcc265, 0xb8c1dbd4,
+    0x1513ee6c, 0x5e8d7a46, 0x098fd050, 0x91f7e1fd, 0xdc167e55, 0xe536b5c4, 0xa2dca6ff, 0x10e485e5,
+    0xadc4ded6, 0x79dabf0a, 0xdd62ccc1, 0xae5ac1f8, 0x77ea1d7a, 0xb739ae3f, 0x62ebc765, 0x0b16df1f,
+    0x7d961d65, 0x1d876651, 0x8c41f7c5, 0x91887779, 0xaa733295, 0x29f75862, 0xf41e0eba, 0x0f1d1580,
+    0x9b709d23, 0x242cf69e, 0x42b568a9, 0x253aa6f3, 0x4d36deb8, 0x80fc6dc6, 0x7294cc10, 0x40675200,
+    0x1a55a541, 0x19a529b9, 0xc3756085, 0x21a776ce, 0x0fcaa16f, 0x27f3fb18, 0x2ae295a0, 0xce6c6241,
+    0xabe4ccae, 0x38733a18, 0x4d4345b1, 0xf20dd201, 0x16b92a25, 0x84383f7f, 0x041fc1db, 0x303c26c5,
+    0x8ec217ea, 0x0160f19e, 0x22660343, 0x4ea88d9e, 0x4e784601, 0x30fb59d8, 0xc942ae3b, 0x33b55cbc,
+    0x81312a33, 0x5fda1dce, 0x00908497, 0x163d708b, 0x94a51384, 0xb6bdb008, 0xca1accbe, 0x4bfbfcb5,
+    0x2d2056a6, 0xe2573632, 0x005f8071, 0x2f87d054, 0x2fd84d9e, 0x01fc0274, 0xd4985b44, 0xf0e8b0b0,
+    0x7ee79ded, 0xbf4d1104, 0xe66be06d, 0xcbd703d6, 0xc031a0ac, 0xb21fb8bc, 0x94cb8207, 0x565cc031,
+    0xde1bb4ed, 0x387f9ef3, 0x727e1d62, 0xaf5e884f, 0x365dcd0f, 0x13cc0806, 0x694da3b0, 0x3464a234,
+    0xe60aea1b, 0x5b292baa, 0x20c7dd77, 0xb3d3ff35, 0xab935efd, 0x84aad190, 0x790f3f2f, 0x599e00a3,
+    0x9c8b2516, 0x7c5efb4b, 0x2d7cdb22, 0x80641b29, 0xc5e505f0, 0xb9d34f9d, 0xf46bf636, 0xf2e0f5c7,
+    0xab53c135, 0x3dae9643, 0x98f00c97, 0x308b5fc7, 0x09cdcdfa, 0xb91e93a8, 0xb30a5bc4, 0x1860b872,
+    0xf0a42acf, 0x73dc3a21, 0x3adbab4e, 0x577c2506, 0x8aa2c76b, 0xb465ce04, 0x096a37dd, 0xb288c7db,
+    0x90540519, 0xa4175036, 0x102d294e, 0x2e887e74, 0xb8c099ea, 0xa2ea92cd, 0x31664c40, 0x4559253f,
+    0xc298223b, 0xd88fa5a2, 0xc11f390b, 0x50526eec, 0x163193ee, 0x8f778c80, 0x26a4012f, 0x0ef5912a,
+    0xb6938af9, 0xfef09c9b, 0x045222bd, 0x5507db51, 0xbf47c987, 0xa3fd1f9b, 0xffe193e6, 0xd5771ed5,
+    0x54c8500a, 0xdc2f606b, 0xa800f371, 0x527432c4, 0x0cab41d6, 0x1f504d92, 0x3c64c5dd, 0xdd0bf66e,
+    0x3e4f0f35, 0xdae580d1, 0xb4ce7688, 0x96f57860, 0xfc4aa953, 0xee335913, 0xbe8650aa, 0x70ba5ae6,
+    0x82518fd6, 0x0beea7ff, 0x33decba6, 0x383fc691, 0xa2793288, 0x4d683f69, 0x88f4092e, 0x5657daf0,
+    0xddd61130, 0xa2c71be5, 0xaeea688d, 0xad65d6b7, 0x8af76a70, 0xc1ebd4e3, 0xb199ce1a, 0x4769572f,
+    0x71dbc95a, 0xb4b41da5, 0x2f7fa35a, 0xbbdac369, 0xf5835ed7, 0x4d6050b1, 0x98e63796, 0x13638b4e,
+    0x33c6ccf4, 0x08ca6c51, 0xceffd3d5, 0xa41b0beb, 0x1e00e315, 0x39ef8f40, 0xfb9c6bee, 0x6c196d72,
+    0x062723a5, 0xb4ebeaa7, 0x4dfe4279, 0x88c5e00e, 0xf255a8bf, 0x379cfce0, 0x1bedc22f, 0x28cc3b1f,
+    0x999bff55, 0x7699d917, 0x83f034be, 0x6ea760ec, 0xfbbe28a0, 0xc25faea4, 0x9232fa49, 0xe5e96dd2,
+    0x0c731221, 0xe24c1d0a, 0x4f944ba1, 0x0f5fa079, 0x04c6090a, 0x53ce18fb, 0x9a2f2a17, 0x51064a00,
+    0x2b6c0f67, 0x6f232112, 0xef4f5904, 0x3b18ac41, 0x4e0c9d47, 0xe0d9b6dd, 0x2d502637, 0xfaf534ed,
+    0xd3490c97, 0x373ddfc9, 0x3c0e7631, 0x26654a44, 0xdc4abba3, 0x6a47fe47, 0x3e2003aa, 0xec0ad1e0,
+    0x3c0efa77, 0xfb66200a, 0x4c2fbf48, 0xf6912825, 0x9a70fb93, 0x35e65894, 0xad520617, 0xa86f7664,
+    0x33d4af36, 0x9e4e687b, 0x10c1dd1e, 0xc4bad6d6, 0x955f774d, 0x1c0a6ee7, 0x4a2ae448, 0xb091fe43,
+    0x7cb6ea71, 0x3bc5c9c8, 0x8299e008, 0x847333bf, 0x396674d2, 0x68aeb1a4, 0x02b293c3, 0xa3ba1e8b,
+    0xcd9d4b2c, 0xab86ac98, 0x4abffc6d, 0x32876f97, 0x93d12e18, 0x18f4f356, 0x81b08fd8, 0xf3c35d30,
+    0xfa7f8c7c, 0x544bf0e2, 0x488d6191, 0x829ea7ab, 0xdeff454b, 0x41859300, 0xd19a25fa, 0x324d1857,
+    0xddd6b537, 0x8329ee53, 0x19f1ba5b, 0xe6ec99d9, 0x3836e605, 0x084baa8d, 0x42eba275, 0xed489d35,
+    0x66f08861, 0x03a8a44d, 0x83391f44, 0x33a8fe6c, 0x76ae3a8b, 0xe2e9b758, 0x1f394a40, 0x145c8c0e,
+    0xa3add033, 0x0178f0f7, 0x7922f866, 0x01825d44, 0x3c4dbbe3, 0x8a668671, 0x38eaf0e5, 0x93312136,
+    0xca1bca14, 0xe997f4d2, 0x990a210b, 0x5aa6dab8, 0x2000c737, 0xf79f7061, 0x341bbc1d, 0xa45c9c26,
+    0x9c0a4cc8, 0x1c5d26d5, 0x80f2ca4b, 0xc23d143c, 0xf2a3ffbd, 0xadfa0a50, 0x6cd68dc1, 0xce970523,
+    0xa0312aab, 0xb6e05d6d, 0x7ec48126, 0x61fca0b1, 0xbd8eb09e, 0x991fccf5, 0xdb55bb69, 0x6249498c,
+    0x46c4fd5e, 0x48333b17, 0xc06a786e, 0x9b810183, 0xe30661fa, 0x227f443a, 0x75641fc1, 0xc4618548,
+    0xbcad8f0c, 0x68ddc94f, 0x47bd9b61, 0x3d800957, 0xc632b27d, 0x2d4865ac, 0xa9fbf8f6, 0xb6f13b65,
+    0xce57829b, 0xdcca1e15, 0x971c34f2, 0x8b36edf9, 0x7ba24c2b, 0x1400046b, 0xa10c4e83, 0xc78e216c,
+    0x790918b2, 0xef0bd960, 0x6120f7cb, 0x3af120c2, 0xee4cef26, 0x16f6efa8, 0x059395a7, 0xd888dd66,
+    0x2261cc12, 0x2b1fef70, 0x46d6817a, 0xc293839b, 0xe67980fb, 0x097f4056, 0x37750f26, 0x30470d0a,
+    0x7d7ba001, 0x9536e370, 0x3e02a850, 0xe04a9871, 0x52b4ee06, 0x0c27ec2d, 0x97bcba72, 0xeec662b2,
+    0x1624747e, 0x4c17b517, 0xbfcdfe78, 0xb648e992, 0xb50de090, 0xa62ae1ec, 0x72f7bb72, 0x55f4a01c,
+    0x4588f60f, 0x025d7cda, 0x68ff01fd, 0xd9165b1e, 0x8f5ce3d9, 0x170a71e1, 0x2396ec1d, 0x0a2974bb,
+    0x34865555, 0x5c8235fd, 0x5187da4b, 0x57eda268, 0x0c8ba64a, 0x8579a75e, 0x22f6ce12, 0x80efcd98,
+    0x364e625d, 0x9c84d739, 0xdf891a51, 0x9d59c049, 0xcf32b214, 0x4fe378ad, 0x647d3815, 0x4eee9cec,
+    0x9178dd3c, 0x740b79c4, 0xb546fb24, 0xc040ac5e, 0xd3b5b0f9, 0xeff2b50b, 0x18ac138b, 0xfd9d6df5,
+    0x4c8d1270, 0x4e75a959, 0xc506f6c2, 0xa625d6d8, 0xe83a8a69, 0x186e78c8, 0x1b07e011, 0x550a1fbc,
+    0xe1caedac, 0x8a1be3df, 0x50e950b8, 0x018a7b67, 0x8cec7d4d, 0xaf81b939, 0xdb9257a3, 0x293da2ac,
+    0xed085b31, 0x451a1201, 0x16b52bcc, 0x9282c6bb, 0xe052349e, 0x288b77fd, 0x32359020, 0xb7c9aacd,
+    0x9cc62975, 0x3262d69a, 0x50b778a1, 0xbc4ab9ce, 0x4678aee0, 0x95b34159, 0xbc09b84f, 0x316c6d2c,
+    0x01dd96c4, 0x6170d7f3, 0x9f5643af, 0xb745bda3, 0x9e18d5e2, 0xd2921e31, 0x0d51ab1c, 0x35615b7d,
+    0x5c24734e, 0x41114f1c, 0x96428c28, 0xc25eac5f, 0x36498f3b, 0x4b8db4f3, 0x34700d5d, 0xe82780a3,
+    0xfddb1dc0, 0xfa1bb688, 0x1df6f05a, 0x50ee78d7, 0x71e55346, 0x1f523b74, 0x6af712ca, 0x0b935eb1,
+    0xd6b38528, 0x610113e9, 0x51c4f002, 0xc7967d94, 0xee16d6c9, 0x39e9bbae, 0x924157cf, 0x2cf8c9e3,
+    0xbc2ec439, 0x87b57bdb, 0x2657020b, 0xa3919c11, 0x991e08ea, 0x39cbb7c9, 0x9e2ae6e7, 0x1af135a1,
+    0x5f1fad42, 0x0b5f74e8, 0x103e7b79, 0x953ebc72, 0x22e92f88, 0x23c7764b, 0xc552a7e2, 0x75025587,
+    0xb4d98fc3, 0x3dd62d03, 0xeaa5dab8, 0x4166a0f2, 0xe08dba61, 0xab9448ba, 0x3772faaf, 0x3bd6e2d0,
+    0x5442023b, 0x37f29dee, 0x2e33da90, 0xb9183099, 0x99429934, 0x37828731, 0x940e1844, 0xce09c975,
+    0x675a6104, 0x3d1f759c, 0x8f6bc47b, 0x0716a81e, 0x39824a84, 0xdcf2b128, 0x0bf3d28b, 0xc3eeb0fc,
+    0x02c1aa57, 0x4d2d41e0, 0xbe4811e6, 0x594c8564, 0x2a8d82e4, 0x580e7605, 0xbe310beb, 0xa28c03a5,
+    0x1e435335, 0x4aa3d413, 0x32db977c, 0x86aa76ec, 0x12d200b1, 0x7797843e, 0xff81c071, 0x0b7693ec,
+    0xb7f483f4, 0x24c9c61d, 0x9f3be7dd, 0xefae9034, 0xe0f9903a, 0x48fdac62, 0x3e9ddab2, 0x820c8ec9,
+    0xd26ece1a, 0x0b04c150, 0x2e99d86d, 0x8a9c90d0, 0xacf0cef4, 0xde51563a, 0x5a5588ee, 0x7e83b756,
+    0xcac1762b, 0x84366794, 0x39c59d0e, 0x7d243664, 0x845bea50, 0xb573c033, 0x6d731faf, 0x2f941e9b,
+    0xace77830, 0xa5a8c159, 0x5be32a97, 0x4cbc6d85, 0x3e4ba444, 0xc9617690, 0x7b890d0f, 0xca53c680,
+    0x2a93e2da, 0x7cab1f4d, 0x40fda3ba, 0xc0432570, 0xd9033e02, 0xed40cc12, 0x08b3b0dc, 0x4febd3eb,
+    0x161df0fc, 0x30adbe4a, 0x7ab363d4, 0x27b50bae, 0xcffc965c, 0x75f83527, 0xfa289346, 0x32c30a68,
+    0x3519e139, 0xc8582d81, 0xaa464a96, 0x383d7d05, 0x8979828f, 0xe5d5270f, 0x28307540, 0x47661615,
+    0x5a6ea36d, 0xe908819c, 0x5096ceb5, 0x13429d32, 0x8f238c1e, 0xbcfe352c, 0x37cd1ac9, 0xe4753573,
+    0x992040f9, 0xa50ff8d5, 0xcec8e751, 0x91acd666, 0x91fee151, 0x9dfb52c0, 0x6dcc9cb9, 0x7a8e2064,
+    0xfefa1937, 0xaa89627d, 0xf2c88bc9, 0x5b2e4d7a, 0xdb13b34b, 0xe0650b66, 0x12183a8d, 0xcd46c469,
+    0xa4e43d19, 0xc4a8e386, 0x5c942650, 0xf0839636, 0x8fb5aaf9, 0x825e8188, 0xb5723d75, 0x9be43ae8,
+    0x6bf003a9, 0xd48bb377, 0x3d5578c3, 0xe8c3c34a, 0x09d66e59, 0x1526b12f, 0x447a8893, 0x7c49ea1b,
+    0x5d3a422c, 0xd579ea82, 0x4f3d9bbe, 0xeba5c0d6, 0x2547bff1, 0xd504bf7c, 0xf9d1a18d, 0xebe7f191,
+    0x35b0787f, 0xadcd8d5a, 0x7cfe485d, 0x4544b634, 0x87c24ba4, 0xb6a106b1, 0x164a3320, 0xd58c579a,
+    0x39e51f1d, 0x85edbeb3, 0xf8719c33, 0x9ef3913f, 0xe2071d95, 0x8f691c65, 0xb4ffd69e, 0x86ec2e11,
+    0x09872381, 0xbb78fdcb, 0xa4a8e097, 0xc9b36fb3, 0x3dd7d141, 0xdb4fd688, 0xd33fac50, 0x209aa280,
+    0xa35b8223, 0xc95fdb77, 0x4e8dfdd9, 0xde78885c, 0x4182d1d8, 0xafeb82c3, 0xd27fcf6e, 0x231f7b16,
+    0xa6b416c8, 0x87852712, 0x348db1f4, 0x9cf05277, 0x61dca9fb, 0xffe59be6, 0x3c90b1eb, 0xa603d63a,
+    0xaffa958b, 0x910f8732, 0x7f4ab883, 0x8fce649c, 0x19cae3cb, 0xa9ef3d0b, 0x9c31a115, 0xd17c599b,
+    0xb9c9660b, 0x332b9433, 0xbbc0108c, 0x543861d3, 0xfc0a3c9d, 0xe1638caf, 0xbb2eeac3, 0x731ae526,
+    0xa5b64cb8, 0x90571458, 0xa20f86c2, 0x23a89de3, 0x9ffc98cd, 0x2ce1952f, 0x5f3c84cd, 0x3d692e38,
+    0x2c6e858a, 0x22e6d645, 0x0ebbb7ea, 0x111806a2, 0xe826a354, 0x28d2a5e2, 0x96b5d3ed, 0x274d0dee,
+    0xc10056f3, 0x69861508, 0x79236e56, 0xa88b3ada, 0x9bf4c132, 0xd0808dda, 0xffad59cc, 0xf54ad3b6,
+    0x7366e767, 0xb33d9536, 0xcdd2deab, 0x205a2987, 0xd378fc29, 0x1e46c8a1, 0xfc0eb704, 0x7aa12af0,
+    0x8463b4a5, 0x144d9181, 0x73956167, 0xf5eb3152, 0x9ad3e6d4, 0x69036a80, 0x509a88af, 0x1516b582,
+    0x13a8aa47, 0xd4a6594b, 0xaa4c4033, 0xfb63e0eb, 0x625476f7, 0x77078658, 0xd211ba49, 0x4faefa6b,
+    0xaf98154e, 0x2278cfef, 0x7ec9f83b, 0xcf944d06, 0x38df07d9, 0x27cd7eec, 0xee5938eb, 0x45f36c6b,
+    0x11e0e552, 0x9b7b9e47, 0x8ed244d7, 0x227a0e86, 0x2325a525, 0xda36bd6d, 0x95eb2cae, 0xdf688ae8,
+    0xcef0cfac, 0x4c9b6a3c, 0xcfcde01c, 0xea1457c5, 0x06168cbb, 0x5ca9975a, 0x0681c5d1, 0x7af3332d,
+    0xa7f0c080, 0xbaec4d4d, 0xd85c6853, 0x480cc62d, 0x343a01c8, 0x7ca48d37, 0x7204da69, 0x5d343447,
+    0x95f4b195, 0x5c38c68c, 0x69e161fe, 0x3d5f091a, 0x4e99df51, 0x7db0d588, 0x3cb0fe15, 0xd0cb5cba,
+    0xf671ae9c, 0x5a552cf6, 0x96b8ffde, 0xb7d406fc, 0x85fbf4af, 0x8facda9f, 0x38ba4963, 0xbad6a35b,
+    0xe44051e4, 0xf17857f4, 0xca6e1478, 0xab370996, 0xee218409, 0xcd711169, 0xd8b197c1, 0x6ef6b3da,
+    0x19d2ab9f, 0x1c207070, 0xbceff9d7, 0x72f31d36, 0x7d9be088, 0x06e171fa, 0x8349778d, 0xc37f7b4c,
+    0xa5c94704, 0x4034222c, 0x49b55346, 0x286fe42b, 0xcd0532c4, 0xab910c4e, 0x3890689d, 0x7febea36,
+    0x6f8d24ca, 0xb405fdcb, 0x5668afff, 0x31e0a0ee, 0x0e037993, 0x2381e9e6, 0x3b81a491, 0x9b458c49,
+    0xb8f0b5b9, 0x1cbf0aa0, 0xf0d82adb, 0x99893800, 0x2c0d13d4, 0xf85ab4e2, 0xf99ca207, 0xf5c1baa5,
+    0xf8a0fb3a, 0xeb03b7f6, 0x2926c929, 0xdb48a64c, 0x59c33d65, 0x072db3c9, 0xe07feee1, 0xd0d75417,
+    0x00000000,
+    0x6ff4dafc, 0xafe492bf, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000020769187434139310514121985316880384 */
+  { 0x00000000,
+    0x1a400a00, 0x574cd157, 0x97489ace, 0x3087db24, 0x1a5ad150, 0xcff07812, 0x6eaea80b, 0xb202d7d9,
+    0x54aff74b, 0x0bcf4a12, 0xb1775f43, 0x08882032, 0x63f773fb, 0x3a396a93, 0x3bdd71ac, 0x312a1e90,
+    0x14998bf1, 0x9c1be2fa, 0x3b2a359f, 0x5afe7a06, 0x1b742282, 0x234b8588, 0x99c3a76d, 0x676eef28,
+    0x8c0f305f, 0xa2012f17, 0x4e1acbd2, 0xd3332c5e, 0x12c9edc8, 0xbb4aabf7, 0x51cc759b, 0xffa47f57,
+    0x8188d303, 0x227234d6, 0xd4c2a663, 0x80829cc9, 0xb028339d, 0x93afe7c1, 0x0bf5a08f, 0xc4f7cdb1,
+    0x6219a15b, 0xa0b632f1, 0xa493a872, 0x0fefdb0a, 0xe4218faf, 0xabe22936, 0x9744c971, 0xbd5dea4b,
+    0x8da4e274, 0x82470776, 0xe7c3ffa5, 0x4496883f, 0xded92ba8, 0xbb5aabac, 0x26f5c8dd, 0xed9e6d86,
+    0x19693e47, 0x6a6b5b1a, 0xcca668d6, 0x2444c03c, 0x79d98899, 0x45a171ba, 0xd63cd74f, 0x24d2d999,
+    0x1d23c50a, 0xabaaa7a2, 0x82805e84, 0xb673a1e5, 0xf8ca9332, 0x1283314c, 0xd150c880, 0x7b376d52,
+    0xd7beb5df, 0x88f21e6f, 0x3d5fafd1, 0x2edb0996, 0x7cc268d4, 0x1282e6b3, 0xd5f58c19, 0xf52188ec,
+    0xf479d212, 0xe61905ee, 0x3ecd0c2a, 0x316fa171, 0x4caa6021, 0x47205e7b, 0x1b4d7725, 0xd59af156,
+    0x258b7f28, 0x851feca5, 0xef3c95bb, 0x817e0a49, 0xef68761d, 0xd31fa9a9, 0x7486e801, 0x0eeca2b5,
+    0x7e2cd50d, 0xf453ee35, 0xbe34f966, 0xd666738e, 0x1e4abc89, 0x10952fa7, 0xcbebfe7b, 0x9aef23a5,
+    0x489d163b, 0x21327a58, 0x1db1dd99, 0x8cadce2b, 0xab0ab817, 0x46e72a5c, 0x19045616, 0x6ff82965,
+    0xb4444ebb, 0x3689ecf0, 0x54b8c213, 0xa2c3cbb5, 0x24b647d8, 0xa3bb121c, 0xc47d3690, 0x9fc358b5,
+    0x0c4638ab, 0x3ac453dc, 0x47a1c3a4, 0x0a330c4b, 0xacc24d72, 0x0f55952c, 0x0882e252, 0x1ca0d908,
+    0x9ae478ad, 0xa8a6f558, 0x54c9bc3a, 0x2139bf03, 0xd159b3c0, 0x28dbc5be, 0xbf726eec, 0xc5b91411,
+    0xcbc5cb28, 0x4d2a8171, 0x475a2e82, 0x014be526, 0xd8d23dfe, 0xe195e2f9, 0xcfc5b047, 0x9dba08e0,
+    0xc9c3e311, 0x4e551e9c, 0x32dfc84d, 0xe67aafdc, 0x9bc7702d, 0xfcca8a3c, 0x8ff45fe2, 0x439bcc03,
+    0x5739cfa8, 0x9f007f25, 0x66bc5e03, 0x18c7e4a6, 0xeb180ca1, 0x7e77165c, 0x7801b20d, 0xbf4ff992,
+    0x29ef4ca8, 0x7019d471, 0xff646f3b, 0xce93e8b0, 0xc18a420c, 0x04831e2d, 0x53b96c2b, 0x2bd72e82,
+    0x268096f5, 0x59c745f6, 0xec82818f, 0x618f3674, 0x572b583b, 0x550677eb, 0xd3366fc8, 0x4ca1a851,
+    0x4b697c19, 0xda8a7228, 0x9f863a5d, 0xe1fd6cbb, 0x827c9d07, 0x0a7f80b5, 0xaec068ea, 0x06405b34,
+    0x5c5d0fe2, 0x61d87551, 0x9bdd0530, 0x024cedcf, 0x7415f289, 0x7ce1e157, 0x24b93723, 0x3579cbb0,
+    0x9e3ad53d, 0x81467cea, 0xfbbe05c4, 0xefe9921f, 0xc19b4ee0, 0x76f38c6d, 0x198668d1, 0x001e4181,
+    0xae4fca96, 0xd8551feb, 0x526e97f3, 0x3c468952, 0x6dcb9dce, 0x5b0282e8, 0x6768909f, 0x8403e8bb,
+    0x22024d3f, 0x5ef601cc, 0x1f7d2d6b, 0x97d6f0e1, 0x36ae028a, 0x202291c6, 0x8be0949c, 0x96965ac6,
+    0x5147213d, 0x66aa6e56, 0x4755f5cb, 0x6c2db6a7, 0xfc72aee8, 0xcaa4f724, 0xc971990e, 0x651527b4,
+    0xa16ed2e3, 0x4135fc67, 0xa93e1a09, 0x0a31c81f, 0xa411cfb5, 0x7301fe84, 0x2bdef7fb, 0xf9766d72,
+    0xa20dde16, 0xb72a53c3, 0xf2d0f923, 0x0781eb69, 0xeb54944c, 0xa67e6161, 0xc98a19f8, 0x4a3f546a,
+    0x04e5a814, 0x7023b937, 0xb381dc9f, 0x22f3bfb0, 0xeb195bb5, 0xf4b4830f, 0x44e500d7, 0x54c7efbc,
+    0x517969f9, 0x0830af69, 0x4b65034d, 0xb5ff7ffb, 0xe0f4d540, 0xb7f6ae35, 0x34ffc07a, 0x6f93835f,
+    0xb1e8cc8b, 0xa0636f60, 0x868900f3, 0x60e8ddae, 0x79e9b1b8, 0xf6eeeee9, 0x075aaa16, 0xc3a250a1,
+    0xcd8a55ef, 0xa11cdcae, 0x3fd27244, 0xaaec171e, 0x5309d42e, 0x8ff31aae, 0x593aa675, 0x6e00dfc4,
+    0x06c73454, 0xc4d6f13e, 0x94a2c6c6, 0x55a3cc62, 0x46faab49, 0x92ad71ff, 0xb05cf992, 0x631ff019,
+    0x88ea8046, 0x6f571db0, 0xdb7e27ab, 0xdc8c6440, 0xf69e2c83, 0x9a5727dd, 0xca7036ea, 0x17942767,
+    0xe6539088, 0x129c9faf, 0xd721a3ca, 0x64b50b4a, 0xa36ffbce, 0x6b7c77e2, 0x3443bf96, 0x8a680c80,
+    0x1840d5b9, 0x09953b5a, 0x1942b70b, 0xada3f34b, 0xe6eb5d0f, 0x5f8f2d39, 0x4239a2c6, 0x7c3f5697,
+    0x9e2a73d1, 0x352b7c14, 0xceccc6b0, 0x9b3f92c6, 0x5db96dc0, 0xae2c4a0a, 0x05c68632, 0x3ef9ca5e,
+    0xbff1ae6f, 0x5566b989, 0xc30fd91b, 0x3346e0c6, 0x41bc7289, 0x735f9d49, 0x8ea5e61c, 0x6c38eb8a,
+    0xd88d5a79, 0x85ab31a6, 0x74afa791, 0x70979aa1, 0x9aad346d, 0x6ed60986, 0xa328a861, 0x1f20b538,
+    0x577822d6, 0xba5cb6fc, 0xce5c441c, 0x504115f9, 0x206e73d8, 0x6d36fef7, 0xc202fc13, 0xa78ca498,
+    0x756a5082, 0x44077f29, 0xc1331320, 0xba14fcd8, 0xdf28b2b1, 0x8411f1d8, 0xf929659c, 0x5ed4e839,
+    0x32068e12, 0xbf9b7d61, 0x1e1751b7, 0x83cbc667, 0x178e3e26, 0x4c0bd647, 0x5b193c6b, 0x9f22715d,
+    0x9469f6e6, 0xac468c84, 0xd7a3b868, 0xefb34337, 0x3e1c87f0, 0xe157c9c6, 0x733db16b, 0x2f28ae5e,
+    0xd2f8ca0c, 0x154d679e, 0x12bd42f5, 0x4e3d6502, 0xfd447158, 0x3da5bda0, 0xeba962e7, 0x6b853ecb,
+    0x7fcbc64c, 0xfd2b6996, 0x1045cbe9, 0xadd52aa3, 0xb5a88362, 0x60205a4e, 0x0d7f3e96, 0xc69c046e,
+    0xf16bb98d, 0x23a1077c, 0xe17d9b40, 0x8c74580f, 0x9d8b1cc9, 0xdf8b8603, 0xef15f8c2, 0xee53b7bf,
+    0x10b7fb25, 0xff98cb3d, 0x3f9cb682, 0x0405a9b9, 0xc2da7974, 0x02b61faf, 0xd44ff3ff, 0x397ec2be,
+    0xce8f5b7b, 0x3e0ae196, 0x2d1faa84, 0x2f7fcf1d, 0xaf68fb2d, 0xc5c9e816, 0x1a650eaa, 0x4b709ce7,
+    0x48b2ecd5, 0x4428062d, 0x61a4e665, 0xf4c6e0a4, 0x6123738c, 0x75ccedea, 0x8d258409, 0x03c70d16,
+    0xa8d0e4a8, 0x37e4bdf1, 0x755547ff, 0x56c62960, 0xb238253b, 0x0094a4d4, 0x71b1f6e8, 0x9ce0a1e3,
+    0xc96148a7, 0x938fd000, 0x7cbe556a, 0x7d961224, 0x146e4ffc, 0xe255444f, 0x08a04286, 0x890f7ad2,
+    0x422d1591, 0x7045be28, 0x79a7c5b3, 0x498a961b, 0xcb36b637, 0x16db0e7b, 0x9eea9fcf, 0x8ba4e9f6,
+    0x1f4a1e6f, 0xfdc796a7, 0xbcf15aeb, 0xa4c2cfe9, 0x76301286, 0x88c6bef3, 0x4dbe9c41, 0xb9840624,
+    0xcd1aca55, 0x36a97a57, 0x5a2230ac, 0x79ab7464, 0x4cb668f1, 0x2842cf7c, 0xf73a6096, 0xa5ded905,
+    0xe1dbc1e5, 0xb0a4d946, 0xbb20241a, 0xc894a4f1, 0x1c41e14f, 0xc243c2f8, 0xdba5a60c, 0x04ff7f1e,
+    0xfa98f8e9, 0x4889e2e9, 0x87566818, 0xc688d642, 0x4138865c, 0x9080d5de, 0xf89cbe2d, 0x0d0563f7,
+    0xb8a5bcd7, 0xb90f2912, 0x7ac625c2, 0x02dd7c7e, 0xd42f3b2f, 0xc7972698, 0x9a7ab7c5, 0x2764154a,
+    0x2eb47031, 0x3a190857, 0x4edcbd2e, 0x06da457b, 0xd777fad0, 0x6b9c0747, 0x8bd88010, 0x74ae8234,
+    0x250de1cf, 0xa0869c83, 0x3fc06cb0, 0x304b6325, 0x92a8cce6, 0x51cbd085, 0xcdc81094, 0x80672427,
+    0x9905f541, 0x65a5ca29, 0x5eaa776a, 0x5a1944ab, 0xa44b4612, 0x0604e0ca, 0x68ab52f4, 0x7eee70a3,
+    0x7ddd23d8, 0xbd815752, 0xaf8ad984, 0xbaaeae36, 0x24f3502e, 0x253b14ad, 0x905c9d2c, 0x18de77f5,
+    0x8ac7c678, 0xd46626de, 0x9a5cec22, 0x8ad71907, 0xfb6d2292, 0x58558f0d, 0x0d9d2f94, 0xab7d15ad,
+    0xd60cc3c2, 0x85261655, 0xf8a7e609, 0xd872da92, 0xc06dca16, 0xd878a2aa, 0x7e9c8436, 0x741415b6,
+    0x9ca5a28d, 0xf149d1b7, 0x127123e6, 0xd60e4509, 0xb3211899, 0xbfb6aed0, 0x262f587d, 0x20aefb97,
+    0x39e68195, 0xcf95afd4, 0x2e751e2c, 0xbca057a5, 0x635dda6b, 0x8754ec5c, 0x173f5b82, 0xd9677c83,
+    0xdc3ced4d, 0xe92d7b55, 0x09f92eee, 0xda98c6e8, 0x456549df, 0x570a66b3, 0x95102e2d, 0x0650779d,
+    0xc095d715, 0xee6950cc, 0x9e0e5ccf, 0xd923a2be, 0x27a3766c, 0xf961d8af, 0x1e1e88f0, 0xdaeed09d,
+    0x3dda19b1, 0x58c7939b, 0x996e1bef, 0x77d4fc46, 0x3cc2408d, 0x3b9cb53b, 0xe3b46cc2, 0x2859eab6,
+    0x47f60f7d, 0x602a2a15, 0x2207054d, 0xa23e805c, 0x3a47a070, 0x9d5ac250, 0x5ce47d58, 0x78c0d252,
+    0x02694d93, 0xdcaddb08, 0x33efb3c3, 0xdcf8f68c, 0x364cfe7b, 0x081150ec, 0x624c3916, 0x2e0456f8,
+    0x523d3d63, 0x1e8d34eb, 0xb3562775, 0xbb10660d, 0x8c5098d0, 0x7c6c6f34, 0xda2918ec, 0x0c354468,
+    0x4400986c, 0x608cfe85, 0x59def9e1, 0xd84e04d2, 0x7f2b8225, 0xf8395757, 0x1f069671, 0xb46c2316,
+    0x21a7b9a8, 0x2888b1ec, 0xe9b2a493, 0x8d0d4e60, 0x096a2e75, 0x8d667187, 0xfb21db5f, 0xd9ef227b,
+    0xee2bc4d0, 0xd5e30eb0, 0x51834703, 0x36488005, 0x0c16bf98, 0x94645029, 0x15f89cec, 0xc54eddbf,
+    0x7ce3c2f9, 0x9ba668e8, 0xae29f6d8, 0xe1ad5a9b, 0x75b0b9a2, 0x7e6a5b0c, 0x1fa3b53c, 0x634ea3b3,
+    0x5dc38031, 0x30b20375, 0xc55b5fa9, 0x2c9edb12, 0x04e8da6f, 0x72f736fa, 0x71bb41ee, 0xe4c566af,
+    0x8cef9c2e, 0x7df6fef9, 0xc5d8ccdb, 0x30fd2bca, 0xae86f176, 0x95960f93, 0x2ba623f2, 0xbb908648,
+    0x57ff82a5, 0x867568b2, 0xf037865e, 0x085c0c43, 0x7a9c9b0a, 0x4dec65c0, 0x3525f9c5, 0x57f8511d,
+    0x976cd630, 0xf4fdc69e, 0x8d4c790b, 0x9b2f281b, 0x21716510, 0x1a1f06b6, 0x03cbcb3e, 0x47f68e9b,
+    0x89464da5, 0x07c11980, 0x3e4643c7, 0xad5b31eb, 0x6b2bba52, 0xbfc7ab02, 0xe537bd5c, 0x0eebba23,
+    0xfbbf29e5, 0x90ec2f7b, 0xe359572d, 0x457a8fa5, 0xb0f80ac9, 0x186845b4, 0x99d32877, 0xb3bbdaa6,
+    0xe5bd8ae8, 0x85998b68, 0x40cbc113, 0x67b43484, 0x389e10ca, 0xa869f63b, 0xa6699a69, 0xa6eade5a,
+    0xed9a6822, 0xfe7fb661, 0x82acb0f4, 0x1b833924, 0xe24139d5, 0x65e7fe46, 0x3054821c, 0xd9d7b00f,
+    0x995d3708, 0x96ba42c0, 0x5a4ebe14, 0x72cc7919, 0x6b9000f0, 0x9faabef2, 0xfc1252a2, 0x85154ddf,
+    0x52d72825, 0x0cf64045, 0x879a5c4d, 0xba054789, 0xc7f1c204, 0x7d2f9e3e, 0x45b7f87f, 0x3ff457ea,
+    0x5d0e787e, 0x0fdd0e4b, 0xb8cea9fd, 0x1b1e8b00, 0x29ce50f2, 0xb93da496, 0x69edb150, 0xec8c0496,
+    0xd18a2ea4, 0x5515e0d0, 0x667bd248, 0x16dc3999, 0x8bd7f915, 0xa89cb27e, 0x033f6d43, 0xef7875b1,
+    0xe3238646, 0xd6aae31c, 0x2355e8b4, 0x7c06b0f6, 0x87d5ed82, 0xa742e0bb, 0x8d11b0fa, 0x537f078a,
+    0x4e1c21ee, 0xdef5afbf, 0x8c8ef3bd, 0x1ae23e5b, 0xe465d9ae, 0xe3aa7e77, 0xd2b02961, 0xbfceb69e,
+    0x22f2589c, 0x1f73b339, 0x0323e18c, 0x3ce02781, 0x279f4ab6, 0x61941719, 0xe4f6148f, 0x86c27f19,
+    0xc2bc7432, 0xc65eb43a, 0xcd1c69bc, 0x1b4ec7cc, 0xc7cd2362, 0xc3f0b114, 0xfefd2840, 0x9535dd49,
+    0x2a67927b, 0x8f7cb943, 0x3ea3de52, 0x37990f97, 0x5c8fd3d4, 0x2a648cc4, 0xb9045093, 0xc7af73a6,
+    0x5c41c989, 0x629e6037, 0x75dbd7cf, 0x3c5ae2f5, 0xc490e5ec, 0x15dc4fb4, 0x6dca8179, 0xdad15bf5,
+    0xba5466fa, 0x3976221d, 0x0acdced9, 0xbfe3f17f, 0x18ad9803, 0x1d4ff99e, 0x74171da8, 0x621f9d1b,
+    0x72482fee, 0xd4dcf451, 0x03c20518, 0xa68eed18, 0x3230c47c, 0xb085e9fe, 0x2db7f072, 0x53afd954,
+    0x7e73d6e8, 0x6e7c5600, 0xa16f9102, 0x97928de1, 0x58f9a7b0, 0xe3dd2543, 0xd8e5f28d, 0xda34bd60,
+    0x50ea4cac, 0xa78362e4, 0xd55256e2, 0xdb9909d6, 0xd7b5fb85, 0xaf27e581, 0xbaab7498, 0xd2e658cb,
+    0x45f0fc14, 0x1cfecbab, 0x41b86150, 0x3d72f8bf, 0x2ae6b2a2, 0x5032aa71, 0x48ff5087, 0x1ad7c8db,
+    0x2293a580, 0x364f6fac, 0x47434348, 0x5b579f58, 0x09024dd0, 0x29bc0da3, 0x3b57bbe6, 0xafa1cbd9,
+    0xa73f2c57, 0xf7d5ccc0, 0x5fd7b2db, 0xb3829e62, 0xe8509c96, 0xdfedcaad, 0xc6db92c0, 0x79227fe8,
+    0x06e5d891, 0xa3c736c4, 0x71027f92, 0x9c176a88, 0x673dfea4, 0x653e6197, 0xda925c64, 0x693a60bf,
+    0x7ca0e36b, 0xa661e192, 0xb6bd2ce6, 0x6ae55e6f, 0x915aa38f, 0xdb85ed3b, 0x5caf7df1, 0x7076e4d6,
+    0xc4132606, 0x78ed707e, 0xd7cef25a, 0xe7ba410d, 0x8e9bafa5, 0x53a69f94, 0x52bdf215, 0x7af3dd3f,
+    0xcd5a386b, 0xb23c38f5, 0xacb6b1fe, 0xa84698d1, 0x8acc022e, 0x77e8cd66, 0xcfdf5f0a, 0x56a4472a,
+    0xc7f4167b, 0x216fade4, 0xd4a4c5e4, 0x5a7b441e, 0x6b749e5d, 0x2c436eb6, 0x63972045, 0x3187a938,
+    0x5319e01a, 0xd6991a52, 0x4ed0e293, 0x98ef5c1e, 0xe31e75da, 0xeea09b26, 0x3db31cc7, 0x6b9dee50,
+    0x4dc4db41, 0xd31d40e3, 0x16e172ed, 0x056e2059, 0x5bc8b595, 0xffa7f3c2, 0x89670df9, 0x260cbfe7,
+    0x6edb52af, 0x04666a16, 0x604e1f9b, 0x0a367fbb, 0xff98f1cb, 0xe18f8641, 0x54ca97a2, 0xbd508068,
+    0x561aef39, 0xc909c721, 0xb0d018d4, 0x3b6e20b6, 0x8cd640f1, 0x7011ae42, 0xbe39057c, 0x770b9e2b,
+    0x3df536bd, 0xdabc107f, 0xfbb728f2, 0x2dace0a0, 0x2fdae749, 0x49e733de, 0x0f1bc270, 0x65bb3f26,
+    0x8a2cfe00, 0x4d397fe8, 0x498d26a2, 0xbf2a0153, 0xe1f75f28, 0x194df184, 0xc674419c, 0x6d615b7d,
+    0x09cd938c, 0x97663077, 0x6ac5c13f, 0xeb95b4d6, 0xef54a06d, 0x585c9c8e, 0x4add4754, 0x8834a19f,
+    0xd9ba2d6e, 0x17471ccc, 0xb511f0f5, 0x236861df, 0xfc0935e7, 0x9814eee4, 0xf93f3131, 0x3e5adf85,
+    0x641fd1b2, 0x6c6e7d97, 0x5691567f, 0x7885abd6, 0x17916bbc, 0x07fcc28d, 0x404ddb9a, 0xf0afa71f,
+    0xbc923478, 0xbe95fa49, 0xd4e63c43, 0xcb6532c1, 0x946652ea, 0x8d0d3c7e, 0xad109d0a, 0xd6077eea,
+    0x5710860b, 0xed5d9050, 0x2deabb2f, 0x4397ac7b, 0xdb94de93, 0x7a221d58, 0xfe8f7a73, 0x06951dd3,
+    0x58346e18, 0xf05212ca, 0x39c37e96, 0x560583cf, 0x9e9e2a69, 0x272a6e5a, 0x56627a87, 0x5dad488a,
+    0xfff5aa3d, 0xeb49c133, 0x906ab7ce, 0xed7ab8dc, 0x0c68fcd6, 0xd495951e, 0x7a410c67, 0xdac04d79,
+    0x8af106bc, 0xbd67711b, 0xe874ee8c, 0xa16e0d89, 0xbab64070, 0x4c8449d7, 0x5d713ca3, 0x85dc8b1c,
+    0xda3bad1f, 0xa3acee27, 0xebb030c6, 0x2732f608, 0x5aec25d8, 0x6253a763, 0xbf3d9127, 0x82ec8989,
+    0xe64eb818, 0x88f386e1, 0x32a92132, 0x42b613f0, 0x01f766c5, 0xa4809d0b, 0xa633aac2, 0x547f4ffa,
+    0xe9d5c4f6, 0xd6a237ed, 0x10811835, 0x6aa02623, 0x6228aa87, 0x61b2e776, 0x02f34d42, 0x13e9d939,
+    0xfccfca97, 0x0c2a9ef7, 0x21d358e1, 0xc122df9c, 0xf8a1ae22, 0x0d8d3734, 0x5288ad34, 0x84e8125a,
+    0x0e305469, 0x789953b9, 0x79685716, 0x979c3235, 0x419faac8, 0xc46c3911, 0xbe3d7c34, 0xe738aca1,
+    0x00000000,
+    0xb7fa6d7d, 0x57f2495f, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000010384593717069655257060992658440192 */
+  { 0x00000000,
+    0x64d16630, 0xd32e9704, 0x1dfd71f5, 0xd54dbd82, 0x1d61642c, 0x467bed20, 0x259db267, 0x0fb3b536,
+    0x8c6b7f82, 0x0a8261d0, 0x1b848ff9, 0x410cdf1a, 0xe5576780, 0x4f17198b, 0x8815d3a7, 0xfb2d3798,
+    0xc4c99183, 0x3f279486, 0x62005be8, 0xae734c2b, 0x108217d6, 0xbea2d728, 0x1c19328e, 0x7da9f4f9,
+    0x0580a38a, 0x7ffe8a30, 0xbe3113d8, 0x88208623, 0xe947e92b, 0xe167c3e1, 0x3dacc456, 0x0d469cea,
+    0x2e530118, 0x0ee6cf49, 0x80e4215d, 0x34d2dfb9, 0xf34fcdcf, 0xb43efb8b, 0x5037bf47, 0xe5ec5ce1,
+    0x20fa244e, 0x1c611499, 0x70d60198, 0x2f54901a, 0x0be37ec4, 0x1de7ca11, 0xfad15cb5, 0xb3c9ec0f,
+    0x96a3539e, 0xbe0d6517, 0x87f3f681, 0x50392483, 0xffe9436b, 0xef3b1f17, 0x66f2837f, 0x197f19c8,
+    0xe47a38c3, 0x73b986bc, 0xdbe4d9b2, 0x7c687297, 0x3babbd2e, 0xf796cd6f, 0x790b0fe0, 0xe3c56ede,
+    0xa110d84e, 0x64c1af88, 0x968802c6, 0x4d47dbf0, 0xcb63e345, 0x444b3df0, 0x9a5546f8, 0x614db0a3,
+    0x62d9d438, 0x7be85bbc, 0x6cd56e9b, 0xf5ee206b, 0x61923637, 0xe3f1c20c, 0x7850a192, 0xa9b3b64f,
+    0xff5430f0, 0xbbc87de1, 0x1711f069, 0x8a7d87c3, 0x8aabde82, 0x654a087f, 0x88b7cc3a, 0x6d3963a6,
+    0xddfc962d, 0xc949f8fd, 0x1c3740c3, 0x3c22f773, 0x8afb6d49, 0xed714711, 0x727a7dae, 0xc596b4ee,
+    0x0f3d181e, 0xe0f44e28, 0x5b0096f1, 0x98314b6d, 0xee3d1f70, 0xfc4595b5, 0x4ffa0ddb, 0xc53d9f1d,
+    0xbf135732, 0x596733aa, 0x1001218b, 0x1c849ed4, 0x68c4b0d9, 0x0ad3bd21, 0xec80fe2a, 0xcdaeca80,
+    0x48798e62, 0x956f2000, 0x388477b4, 0x67dca23a, 0x37bc8d15, 0x11095b2a, 0xc014826b, 0xb1c751c5,
+    0xa48b5760, 0x77621b30, 0x28f914f5, 0x6c73342e, 0x7bc118ac, 0xcc8b2a4e, 0xba849643, 0x1871ad78,
+    0x633e321f, 0x5035574a, 0xdaa93ff6, 0xa7468558, 0x783dadc9, 0xf4abf0fd, 0x30eea0c8, 0x52016372,
+    0x2e8b50ed, 0x790afb9c, 0xb8adb1fc, 0x39713a88, 0xad56df3c, 0xe9e7e343, 0xd9582bb8, 0xfa4b4b35,
+    0x5898b143, 0x3e80fa81, 0x74f38e80, 0x873721cc, 0x10262abb, 0x9d52c831, 0xdf50024c, 0xc91c55b9,
+    0x83fa8df4, 0xc4d86b56, 0x551624eb, 0xe6f755e0, 0xd35adb33, 0xe59104e5, 0xc2eecd7c, 0xa3eeabf3,
+    0xe1da9875, 0x7c1e6cbb, 0x2f32525d, 0xbf1ed136, 0xdc0ccd69, 0x16632d25, 0xc4e6e36b, 0x06d6443f,
+    0x027a1899, 0x902f62ac, 0xd3f97405, 0x945d2e93, 0xfb72f29e, 0x87f032c7, 0x22790079, 0x0d5a5efe,
+    0x5ce3c0b0, 0x9d339286, 0x5b7d6dcb, 0xa55d073f, 0x5adeac6b, 0xfcbf7de8, 0xef30b612, 0x73ccb6fc,
+    0xd7324b13, 0x624d0fcd, 0x20c1797e, 0xf7b40796, 0x010e101a, 0x1152ce29, 0xf2280fcb, 0x87c78461,
+    0x091f7205, 0x6f649e23, 0x1e84d99f, 0xf2e4dfa2, 0x02764c55, 0x2e7094fa, 0xefcd2dde, 0xfd59b16b,
+    0xd4a081b9, 0x04d9de1d, 0xfa7de545, 0xbcdc2cd1, 0x740cce07, 0x5de7c683, 0xf6aa9990, 0x73c72660,
+    0x50792e7b, 0xe295ecbb, 0xc616fed7, 0xd56e5569, 0x479ca8ff, 0x3d990119, 0x1bafaf56, 0x657defc1,
+    0xb2e084b7, 0x42bcd2a0, 0xfb02c763, 0x40428002, 0x6a58789e, 0xf242a488, 0xd460bd7e, 0x80aa1721,
+    0x32c2dbcb, 0xa6b8c8fd, 0xa95c2ac9, 0x763687a7, 0x048b1340, 0x48132e1d, 0x3b534b1e, 0xcae7ddef,
+    0x04a46e20, 0x8f94f11d, 0x286bdb6e, 0x69a4c89a, 0xa54dbab8, 0x98205c9d, 0x6f4d6b73, 0xf2e13637,
+    0x6d5bc0c3, 0x3c6929df, 0xb1b83e76, 0x21f8ba13, 0x617ed6d8, 0xa25a9622, 0x45bf1e94, 0x3a8ef61d,
+    0xecc10518, 0x8aa6e3e2, 0xfd37ff78, 0xd3915ac0, 0xe0ee6683, 0x63a60e05, 0x1db88dad, 0xf63f927e,
+    0x1a63e040, 0x07d9a4fb, 0xe48f2c73, 0x9a2032f1, 0x24869f7e, 0xab9724ba, 0x96f6bfc1, 0x5dddc3be,
+    0x0549779c, 0x52620b94, 0x2618df5e, 0x590121aa, 0x04715a36, 0x911b1c97, 0x62a90e0a, 0xf264ad4e,
+    0x4ed0bfaa, 0x5e9b02e2, 0xfb7ca3c6, 0x5698b60a, 0x2ca311a3, 0xd06272ba, 0x1d0bcb35, 0x3abb6ecb,
+    0xd3f5e06a, 0xf87234dc, 0x456fa3fa, 0xebb86cf1, 0xde70446a, 0x8b280c1c, 0xd3eea364, 0xafe8252e,
+    0x56f588a3, 0xb6b3c30c, 0xb5e31f3a, 0x1659684a, 0x1d056cdf, 0x8780a846, 0x5d6a032d, 0xc0758e30,
+    0x7872eecc, 0xa716ae07, 0x75ead607, 0xa1a08501, 0xea0115b5, 0xa8751cd3, 0xebeebff1, 0xa438b799,
+    0x689c8bff, 0x38cd0a58, 0x240a1fc6, 0x81ffd7a1, 0x0bd27961, 0x975507ce, 0xa4882d0d, 0x8d32b824,
+    0x6401b466, 0xa8968dda, 0x4f3dca57, 0xa9de0fd4, 0x8b984414, 0x7b905697, 0x32b6ab90, 0x1edaeae6,
+    0x80e1d77c, 0xedbf548e, 0x4c425170, 0x24c65652, 0xfbd60fa4, 0xcc1707d5, 0xf8b1ca62, 0xcb227771,
+    0x43189dbe, 0x7b2a38cf, 0x55d2ca38, 0x66b9e8c4, 0x7fdc7d0b, 0xf4104f6a, 0xa2e0fb56, 0x4077ede3,
+    0xd63c23b1, 0x2919bb22, 0xf086dee4, 0x0cfe00da, 0x7578e64e, 0x70d9c61c, 0x2eed4a29, 0x644a02ad,
+    0xf2af9e91, 0xe597364e, 0xc458f332, 0x427bf8bc, 0xd572a61b, 0x27fba054, 0xf7b407c5, 0x40107faf,
+    0xd72d8213, 0x1b2fcb91, 0x5b779bb8, 0x82b28434, 0x637becad, 0x2547eabc, 0x5c36aaf8, 0x0d0847ad,
+    0xec9d73f5, 0xa9872948, 0x27d40398, 0xe4fd9891, 0xc87be59f, 0x591f830d, 0x2c0cd0e9, 0xf67cca4a,
+    0xe930eec7, 0x0babcd2a, 0x9f9cc8a3, 0x3aa1db11, 0xf6a2e3ec, 0xe24512a7, 0xe9a9f5c0, 0x43f1675d,
+    0xad556f56, 0xc4400170, 0x4aea713a, 0x78c56b5b, 0x792e0ce6, 0x054e4938, 0xb175cefa, 0x8b9becf8,
+    0x81d48dcd, 0x4c4bc939, 0x577f9810, 0x87eca8d1, 0xbf70e3ae, 0xd1e36797, 0xd29a520e, 0xa78f0fa3,
+    0xc6e980cb, 0xb83bcf79, 0xa3818991, 0x7d8d2fc9, 0x78c9eed2, 0xc11266e9, 0x158dd15e, 0xcbbc6feb,
+    0x6a1f7564, 0x89eeaf6e, 0x6ba4418c, 0xa9076929, 0x04eb2135, 0x6a3adca5, 0x2cd9c515, 0x9515e74a,
+    0xdc1c1f50, 0x7fee5817, 0xeacc8205, 0x77e0df14, 0x85515068, 0xa7895d3e, 0xbdafebf1, 0x63d3b4d3,
+    0xfc122fd8, 0x9b3ce693, 0xc09513ce, 0x2fbd6ae0, 0xe54be014, 0xf8b0bbfd, 0x05fe5b38, 0x4a046f4d,
+    0x7b389068, 0x8a3de48e, 0xb8429a07, 0x43e5708d, 0xf244850f, 0xf5db6969, 0xf0aafcba, 0x21756bd5,
+    0xcfec929c, 0x66f72111, 0x5dad885c, 0x56e3efe8, 0x32ed9fd8, 0xbc84fab4, 0xe6ba78b9, 0x8bf8069f,
+    0x01493c0c, 0xfb9e1fe3, 0x5ace5f24, 0x76dd7b13, 0x1a5a2b5c, 0x50e9df81, 0xb326c5f2, 0xa5ace59f,
+    0x3e0944ae, 0x8bdc8009, 0xce21d74e, 0x46d5c45c, 0x8d577533, 0xc259cc34, 0xda8a35b7, 0xebc27ef0,
+    0x752b6a07, 0xaada4e39, 0xf33d50a7, 0x0c45c052, 0xbbc53595, 0x0bc41edd, 0xab42b577, 0xd0c9b321,
+    0xc1c97b7f, 0xf7498924, 0x777783e8, 0xe0d4bbba, 0x4a615b27, 0xd66ca00f, 0x23c0d008, 0x51f9c364,
+    0x93355773, 0x7c92b7ab, 0xd032e4d6, 0x736300b9, 0x7ba3e320, 0x58f479b7, 0x736ce7e4, 0x69539a46,
+    0xcce0ab82, 0xd1cf95b2, 0x6aa64815, 0x9b5ade0e, 0xc0f5a7e8, 0xc8ceef64, 0x5a2b5eb6, 0xe5921ff6,
+    0xfde1df80, 0x8891aa59, 0x1e74af16, 0x1500ac17, 0xe4a838c5, 0x60d39b37, 0x95a0fc50, 0x80c7005c,
+    0x26aa49e1, 0xdc75b8ff, 0xdd4d44ab, 0x60b4fac7, 0x885d6d18, 0x68114c40, 0xdbd6d25e, 0xaeba3ea8,
+    0x08783136, 0x6bf045b4, 0x5ee56ce7, 0xae581212, 0x2b9dd399, 0xb3830198, 0x33671868, 0x5d3a171b,
+    0x393b094d, 0x1d99ecf6, 0x1d7b90ea, 0x7f94e050, 0x88abffbb, 0x81e533f2, 0xa13ba6d7, 0xc7f788e0,
+    0xa1734357, 0x87b16a2e, 0x5eb645a7, 0xcb9b5d70, 0x76003bbd, 0x876c37d6, 0x3abe8453, 0x5f2bf277,
+    0x56239c02, 0x3a7b0380, 0x047621a0, 0x055d62c7, 0xa62e2949, 0x137cca74, 0x39497389, 0x97ca7282,
+    0x146a3699, 0x5ce93941, 0x5708c580, 0x0bb929fc, 0xedfcd412, 0x1a2b12c4, 0xdae6d8c1, 0xe395c724,
+    0xc7c349b7, 0x29096629, 0xaadc691d, 0x155ea8c8, 0x679812f3, 0x1b55da26, 0xea0c55a7, 0x5f3cac4c,
+    0x516df8d4, 0x988254a4, 0x0be532d8, 0xcf5dc561, 0x418ec34a, 0x7ec13d29, 0xebea60c7, 0xd971b170,
+    0x941dc06a, 0x4d0043d1, 0x38eb15bd, 0x22258ffa, 0x805e08fa, 0xec5c89b4, 0x9d7f2ab5, 0xe7e1efbb,
+    0xba9f890b, 0x14056071, 0xa4f6b6c6, 0x60ab54a6, 0x63ecdf3c, 0x7e80cd77, 0xc181f808, 0x1ebc58f0,
+    0x1e08e9e6, 0x9f6d04ba, 0x16927452, 0xa4ba583e, 0x13771260, 0x6d82d375, 0xa3fd2c6a, 0x9ef61b9b,
+    0x6ebcdf8f, 0xb9ce5232, 0xcf269e30, 0xc7e3191f, 0x8022b275, 0x955399fb, 0x6322ba1b, 0xfac25a72,
+    0x9ed2b9b3, 0x623e7a4f, 0x873dc375, 0x75b098c4, 0x536a7842, 0x7aa06104, 0x75d0e490, 0x7d43282a,
+    0x562bc136, 0x1f3c826b, 0x610bdba2, 0xa5370880, 0x8d2665c9, 0x72c7aa09, 0x0c7ce9ef, 0xef7a4f77,
+    0xa526fe37, 0xe1360bf4, 0x349213ac, 0x4024eecf, 0xc3a55f40, 0x274affe4, 0x69b217af, 0xa7103f0b,
+    0x64380902, 0xe8579ae2, 0x81d92fb0, 0x2a5abd1b, 0x6e9850ec, 0xb3b4b438, 0x8af7f363, 0x1620982c,
+    0x361b799f, 0x4ff7e4b1, 0xb2978432, 0x16debe11, 0x8b7a9334, 0x402a4184, 0x12a5033e, 0x77b582de,
+    0xa3b1eab0, 0x1fd4dca0, 0xa2060610, 0xf883bfcb, 0xb75c3384, 0xbc605914, 0xe516853b, 0xbb1e6795,
+    0x62804568, 0xdabd216a, 0x880d049e, 0x0221e59a, 0x34a86b77, 0x879ca6a3, 0xb95c21b2, 0xf3f6c240,
+    0x59a68566, 0x5e163d6e, 0x22db4a5f, 0xc47da0ea, 0x14db5c57, 0xc719403c, 0x89770baa, 0xb7ea0a98,
+    0x2f1d4d14, 0x71418bd9, 0xdffa7341, 0x34f0daa8, 0xea3c624b, 0xc3edd513, 0x500e0335, 0xdca5a34b,
+    0x680f01e9, 0x7cce7282, 0xcd21eb65, 0x6ac35ff1, 0x4debed6a, 0x01bae773, 0x15463018, 0x3d544a91,
+    0x7979c89c, 0xeaa63683, 0x8bc57c04, 0x2b9f71f7, 0x8520ec28, 0x5c0179bf, 0xec3ce55f, 0x0a4db755,
+    0xe5ef460f, 0x588eeb28, 0x198eb12f, 0x404dd5df, 0x67e993ed, 0xbe547414, 0xe59c61eb, 0xe8c7eb0a,
+    0x273a52a9, 0x247638f9, 0xbe7673ff, 0xa1ac63a3, 0x19b40a8c, 0x84fc5a04, 0xfa497b17, 0xb3bcee4a,
+    0x006cfd03, 0xf13e682f, 0x2d247f2a, 0x4a92846c, 0x89dbbb6a, 0xa0cd0059, 0xdccd52ab, 0x87d697af,
+    0x90724abb, 0xb347bab1, 0x8fb8d0a9, 0x3b54c7b1, 0x6a146367, 0x08a10774, 0xacef5fee, 0x603f40cc,
+    0x49e96c06, 0xa5c43d03, 0xad836597, 0xf1be946f, 0x4788cc0d, 0x7656f564, 0x32835353, 0x5be48fc3,
+    0x1e2323ef, 0x15b7f395, 0xcf8ce501, 0x6fcbc8a1, 0x8ebdaaa9, 0xf1e5c7f0, 0xcf00640f, 0x35751a32,
+    0xda8479ad, 0x7e8cd06c, 0x8fac4408, 0x2265174d, 0xab4b1286, 0x40cc8026, 0x58f45a22, 0x18f2077e,
+    0x8e7e7f22, 0x4e83a939, 0xff4aabcb, 0x984563fd, 0xf1c95a5e, 0xb2b42bd7, 0x12874a40, 0x107a998d,
+    0xe5775e28, 0x45b3c82b, 0x30cf7dee, 0x9d45afed, 0x06e3c91d, 0x5835f382, 0x496f8c2b, 0xaa63c498,
+    0x25b30b97, 0x34fc02cb, 0xb1255825, 0x5065e5c6, 0x1deacd36, 0x5364f643, 0x60ba512f, 0x5b4b916b,
+    0xd94b765a, 0x03c155ab, 0x7296df0d, 0x929d0362, 0x30f20b25, 0xc1c17ca4, 0x1fa90e20, 0x325590f1,
+    0x5169eba9, 0xbe160e20, 0xfaf2b53f, 0x0f094976, 0x1b9f760d, 0xfc0e64d9, 0x5debc33c, 0xa38f0098,
+    0xe59d493e, 0x824a4342, 0xb0215a15, 0xa316b3b6, 0x2d10bf38, 0x60f95fe6, 0x0f875a72, 0x985fd8e7,
+    0x3233e3f0, 0xb4b51300, 0x6e3b9140, 0x68507aa6, 0x8576e593, 0xa2ba4cf3, 0x98a26cfc, 0xa1c5397f,
+    0x11607e32, 0x243621f1, 0xea0da1b2, 0xf467fc26, 0x64c910d0, 0x00827ffe, 0xdcf6e2b6, 0xf4d27301,
+    0xd809f6c9, 0xd0c5124e, 0x34112bc4, 0xf7002cad, 0xfbbf5960, 0xd15352c5, 0xf04c941e, 0x1f685221,
+    0x3ab9438f, 0xe5fb49e8, 0xa6310c25, 0x987be566, 0xf10ac95a, 0xcf2b976b, 0xdeaad14d, 0x9b9c8df3,
+    0x12efceee, 0x737e221e, 0x8b824b0a, 0x6c5160fc, 0x6b38decb, 0xfda029d3, 0xdbc3c2e9, 0x8c76c81e,
+    0xa9a77848, 0x1c376854, 0xb9b02c5a, 0x20ac6e4c, 0xddfd56a1, 0x9119f634, 0x26da7d58, 0x17ede916,
+    0x5a6009e0, 0x0f95e292, 0x6c248393, 0xd5782e33, 0xbba3b92f, 0xe379ce31, 0x4a631fd5, 0x055f9c40,
+    0xbd17dca6, 0x54833d2b, 0x33916e41, 0xeba7d45b, 0xda04841d, 0xcfd5e02e, 0xbd1cda16, 0x276d9f1b,
+    0xaed94d81, 0xf8450a0f, 0xdd30fbe2, 0x4d271d3d, 0xdf2f7191, 0x8ebeb939, 0xbeb85e26, 0xf070d2fb,
+    0xe1e24c2a, 0x3b4755fc, 0xafd734bc, 0x6c9024bb, 0x2687886b, 0xd8d986f8, 0xc1448a3b, 0xb423af16,
+    0x305ca197, 0x4f881411, 0x1a307583, 0x1ae8c1b0, 0xeb91d636, 0xbe186767, 0x57db9359, 0x4adc5783,
+    0x1921bd8d, 0x8e0ab3ef, 0x3050335e, 0x4dfe37ac, 0x915b1848, 0xd12fa16b, 0x37b5d45c, 0xe443131c,
+    0xacb34f9d, 0xcbc29b00, 0x3a128b71, 0x5ea9cf6f, 0xf6dd9743, 0x1096a27e, 0x0d4c2c84, 0xfe737456,
+    0x9707e678, 0x5816fb39, 0xf34a1aaa, 0xdd1cbf25, 0xf5deb2d9, 0xe00e86a6, 0x715049bd, 0x73a81a71,
+    0x171d55f4, 0x362bc030, 0x0005de36, 0x0de3ab6b, 0xa9f4f6de, 0x308dc50f, 0xee6ad8b2, 0x67d59549,
+    0x4da36c61, 0xdc0f7b4d, 0xbcd6f78f, 0x70f01045, 0x80d39e34, 0xcd186dc1, 0x627d1c02, 0x0ac875eb,
+    0x06ec5137, 0xcd442c43, 0x02e7187a, 0x6ce69889, 0xc24f4099, 0x6d97f874, 0xeac5f907, 0xd8af3bc8,
+    0x5a808cef, 0xe1ac2444, 0x59abce4d, 0x251f0217, 0xf005c5ff, 0xff3f5007, 0x80b4b187, 0xdfa7b6d2,
+    0xeacd6361, 0x689d3a91, 0x2eb34738, 0xf76b5eee, 0x9dd9e9e0, 0x68af9133, 0xa9d8e6e5, 0x6132abff,
+    0x9dcd53dc, 0x865c1f10, 0xf46bd1ed, 0x6e3c3953, 0x0578e1d7, 0x341e31e0, 0xe8951be9, 0xd93fdec0,
+    0x731ec8f4, 0x5cba2ad2, 0x4e0becb3, 0xeec96442, 0x9688fd98, 0xd0747bad, 0xae082ef5, 0x3c7b70d4,
+    0xddfe8514, 0xbc411277, 0xe52c6e2b, 0x0dc68b99, 0x4e1d046c, 0x94e82929, 0x139d5e09, 0xda8f6fbb,
+    0xf4bfa282, 0xaec2f7f7, 0x8e79cd7c, 0xfa18716f, 0x25c8e82e, 0xe8cbc81a, 0x3d8caade, 0x26f8fe21,
+    0x440dd6b6, 0x5bb414b7, 0xde513bc4, 0xa8462584, 0x29d8393b, 0x643606c4, 0x84e81f45, 0x4e5ae210,
+    0xc6db9f18, 0xfc894ccb, 0xb1fdaa10, 0x61fcbcc8, 0xee083b7a, 0x6e63fbea, 0x9cd18396, 0x68b34021,
+    0x153d4d8c, 0x1cc7afaa, 0x44be750e, 0x04ce88d1, 0x17b648fd, 0x5774e5fc, 0x441183a3, 0xa6293c6b,
+    0x3d5d0cb1, 0x3d23b6f1, 0x4786f732, 0x3211dd0b, 0x9ffecd55, 0xf091f046, 0x36caa2b6, 0x654c0626,
+    0x09227839, 0xee519f2d, 0x2cff3f76, 0x12aecf6b, 0xd87e7474, 0x2e5d1f99, 0x2ffb1b76, 0xac092e21,
+    0x00000000,
+    0xdbfd36be, 0x2bf924af, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000005192296858534827628530496329220096 */
+  { 0x00000000,
+    0xecf65231, 0x3134726e, 0x3b57f6f9, 0x781f9cc3, 0x9fad75a9, 0xd1ed69f1, 0x9531797d, 0xd0bb4b10,
+    0xcea4e2fb, 0x12ece267, 0x873834a7, 0x911693ca, 0xec1c6ca4, 0x285e0788, 0x9d19e363, 0x792428e2,
+    0x4b63ce89, 0x4130f823, 0x10cb3aab, 0xbd4bdb32, 0xf1222f40, 0x2be26801, 0xa121126b, 0x4ab197f2,
+    0x99ae3872, 0xb8ddbf42, 0x2ece167d, 0x728ccf48, 0x4f9e0c34, 0x251448df, 0xb83e6071, 0xb9262da9,
+    0xe5ce6f1a, 0xe02bef67, 0x8b3ddac7, 0x861d36d0, 0xcd41efc8, 0x68724947, 0x84ac3226, 0xb253a5be,
+    0xa3a4552f, 0xf5303fcf, 0x0d22ffb2, 0xd7f67f1f, 0x24f02c6a, 0x4f64946a, 0xb10e6864, 0x2aa84819,
+    0x2bd63190, 0x551cf897, 0xc6cbd8b6, 0xbb90876d, 0x9c341363, 0x467cc70f, 0xcee43b57, 0xc9a57446,
+    0x16b495c8, 0xc0eada3f, 0x7e931b60, 0x097ceec0, 0xc7917353, 0xfe296ada, 0xad451e4b, 0xaae1edce,
+    0xd3db6cc2, 0x7d77d154, 0xd2235695, 0x90f2db58, 0x523d5b47, 0xbdeddfb3, 0xbdde2f49, 0x0a7fa420,
+    0x34627614, 0xaa78e3b2, 0xbcf18b8b, 0x87331518, 0xe1100a9b, 0xc152cab2, 0xa5cf2850, 0x36439e13,
+    0x11eccd0e, 0xf237a94d, 0xb6893016, 0xe479a1f0, 0xf153b6c2, 0x8846b55c, 0xab6bd935, 0x05d7fc73,
+    0xb4d516db, 0xf74985ca, 0x0983284a, 0x94d1b328, 0x7915e11e, 0x33c1faca, 0x85f56858, 0x258972e6,
+    0x1c69c998, 0xba4a8af9, 0x067fe850, 0x0f13f93c, 0xaaca46d9, 0x6c786a73, 0x337ba3c3, 0xf0ff0e21,
+    0x9dfea894, 0xc1076e4d, 0x04e718ac, 0x3fd4ee17, 0x47ff1489, 0xcb6d7200, 0xa806e206, 0x3591d8f1,
+    0x11eeb7e0, 0x94788eb2, 0xe84f0952, 0x198929b4, 0x91601403, 0x17aceee7, 0xa4055b3c, 0x6f9bf7bd,
+    0x67d6888a, 0xc4d305d1, 0xbaccfd3b, 0x1331f1e8, 0x6fff7479, 0xb76b208c, 0x4bccd587, 0x6e66c75b,
+    0xcc789920, 0x9b137754, 0xc6ead0c5, 0xc54e7c5b, 0xf4052fad, 0x156baf44, 0x46d8d22d, 0x168044ef,
+    0x313e0bc8, 0xfdfd2d93, 0x35d18995, 0x69b5c5ef, 0xcc699be6, 0xdf22b4aa, 0xda18c479, 0x6c8d3a48,
+    0x47465103, 0x80884e10, 0xa6f00764, 0x2ad0a444, 0xe064caa1, 0x3d6f43c7, 0x748e24e6, 0x45bb7555,
+    0xf2355b14, 0xc2c40dfb, 0xefd52166, 0x1de13a7f, 0x543ea751, 0x727a4dd7, 0xc0d2b941, 0xb643f707,
+    0x950fcf18, 0xa7b59b54, 0x7fe0e6eb, 0x1497a421, 0xd599a473, 0xac471df8, 0x77edfb5e, 0x7a7ea47c,
+    0xf37a73cd, 0x9e73fba1, 0x09089a3c, 0xd5bc1863, 0x0269b77d, 0xe7d79311, 0x69e93b7c, 0xdaac5630,
+    0x937fb300, 0x9ef01756, 0x9345ed26, 0x281a10d1, 0xbceca19c, 0x1b1de068, 0x199475df, 0x1973ee43,
+    0xcc327f31, 0x02209ebc, 0xf1ece333, 0xa8eeb1ce, 0xca15e2c8, 0xae503a12, 0xe035c21e, 0x92792c4e,
+    0x8708c549, 0x88cbfaf5, 0xdecac5cc, 0xbc973ffe, 0x501e0beb, 0xbb0118c0, 0xc943876b, 0x14bf6c74,
+    0x76ad5e71, 0x9241363a, 0x0e81c1a1, 0xd41fa1a3, 0xb71feff5, 0xa27f5f67, 0xf8e1b732, 0xb54b0b41,
+    0xdfe98ef5, 0x99f607c2, 0x66d31846, 0x3580b37a, 0x51a86377, 0xc1ed0d9b, 0x6922206b, 0x0633042e,
+    0x4d1e8678, 0x2e1edd3c, 0x201bb418, 0x0b49b728, 0x3368f0a2, 0x41883232, 0xc1e13bf9, 0x005e1c62,
+    0x9d6340fa, 0x2f608eff, 0x1621aac2, 0x7fc7a0c9, 0xa9d43e61, 0x4e851582, 0x071496fc, 0x50b5139e,
+    0xfd833780, 0x6f622fff, 0x81151dc6, 0x32ea40e3, 0x93f1b497, 0x3d6ac426, 0x5e0bed9e, 0x6ac08564,
+    0xbe089a17, 0x0fac998d, 0xf4feaa2b, 0x98d8c124, 0xddb812df, 0x930ae974, 0x34d9838f, 0x519d0235,
+    0xb25d9bc3, 0x06ad7645, 0x1ef71d91, 0x7eafb3e8, 0xb3d00fd4, 0xf61e2fc5, 0x89d76d4a, 0xe92aa571,
+    0x62c2ba7f, 0xf4651b97, 0xef9e06e1, 0xa4651bdc, 0x571c9a30, 0x647ec0fa, 0x5a73dd0a, 0x5fc12a3b,
+    0x442cd68c, 0xb2506ce4, 0x8018e6a2, 0xa66a1a20, 0x2eb7bc2f, 0xe25f033a, 0xc29608ef, 0x19bb3ebb,
+    0x69fa890e, 0x9f4a4778, 0x3010b2f3, 0x1bb971ec, 0x94a69a84, 0x75c96beb, 0x8cc38829, 0xec31fbb6,
+    0x6fa549e2, 0xe1e4c606, 0x2d4bc853, 0x6d02e2e2, 0x39af450d, 0xb4fc14f9, 0x392baf05, 0xcadc521f,
+    0x17657746, 0xba22dac8, 0x19b88eac, 0xc45b885d, 0x05d8afd5, 0xa0ecfbe8, 0xf9d0fe4a, 0xa4050b2a,
+    0xbbfb30d4, 0x7f640285, 0x02d9d4cd, 0x77bb6274, 0x7f744db5, 0x7a624699, 0xb57caef2, 0x773244d0,
+    0x7d5e8b8d, 0x2f565e39, 0x632ba89a, 0x4372f06d, 0xeca8feb3, 0xc901ea8d, 0x767a964b, 0x20fb3ae8,
+    0x66249973, 0xd9767e06, 0x7f8881a1, 0x992501a8, 0x03865ef3, 0xff902459, 0x2002653e, 0x135855d4,
+    0xde9fa5ac, 0xf39fe903, 0x195c6bcf, 0xf0eb6756, 0x39bc0bf4, 0x501ba8e6, 0x71215467, 0xd6c25aec,
+    0x96da8fa9, 0xe4e66518, 0xa79f0931, 0x32ef3e8d, 0xec2507b9, 0x6bb1d6c5, 0x812fb14c, 0x103b5a85,
+    0x8364bb40, 0x0602aa91, 0xa8a35303, 0x44929bfe, 0x36102a92, 0x0ab7a4c1, 0xc52ebbdc, 0xe3262bcb,
+    0x454591a5, 0x556ce264, 0x0da9bade, 0x00b1a198, 0x15fee3b7, 0x6dac30c0, 0x2ec4b979, 0x14aee0d6,
+    0x867be00d, 0x25cd6966, 0x3f290852, 0x37c5c57b, 0x599452db, 0x4b251697, 0x805ed5e2, 0x09ab458b,
+    0xc0792fe5, 0xffa2c4d8, 0x8b5a69c4, 0xf5ecac4d, 0xbed72dbf, 0x8e681f10, 0x7646729a, 0xdf0186e8,
+    0x9051d955, 0x3f9352f8, 0x15de950e, 0x85c871cb, 0xbbb65d41, 0xcc5607cb, 0xf1aeb387, 0xfc32b5a9,
+    0xaaef2a8a, 0x0b70baba, 0x44b71452, 0x3ac3bda7, 0x6c8c82f9, 0xd46d7c76, 0x435a72c1, 0x573d315b,
+    0xc5ead759, 0x65286468, 0x01f86887, 0x9e4ef736, 0xa38df48b, 0x82beda87, 0x30487849, 0x76b5347a,
+    0xe544cbf8, 0x586faa34, 0x2444100f, 0x5dd0edf9, 0xec46336f, 0x1f6a7aa8, 0xd5fd67d2, 0xe6c54882,
+    0x0ec29f01, 0xf6aaf2a2, 0x1092f2d1, 0x1ba96048, 0x73488ce3, 0x77b8577d, 0xd64ed17f, 0x50ff02b7,
+    0x803410e4, 0x5144d9c6, 0x2685cbe3, 0x37dbf936, 0x91d57359, 0xe7f9ea33, 0x4aef3664, 0x32962402,
+    0x8eab8b86, 0x898bebe0, 0xb24b7719, 0x5762627f, 0x62cd34bd, 0xd49ee607, 0xf2f61845, 0x0ad8aea9,
+    0xba8b5ae5, 0xe0ac5132, 0x9fe3cfdf, 0x1bf55c58, 0xb8d9a13f, 0x2f44ad74, 0xfe7543b2, 0xef13356c,
+    0x1c828538, 0x86ec7652, 0x5af0cc83, 0xf32a14b2, 0x518b883f, 0x7746d77e, 0xeba7684f, 0x209a2945,
+    0xc7f20224, 0x9d3c51b7, 0x04fba548, 0x11071bf2, 0x3579e2a3, 0xbbd5dc92, 0x37315022, 0x2076c2d1,
+    0x82c07f99, 0x93e7bcce, 0x57f6088d, 0xf7f76a0b, 0xbb1a4a77, 0x48d0d490, 0x93f73dee, 0xb973f4b0,
+    0xfce107c1, 0x58e55f3c, 0x1672573d, 0x9716fe6a, 0x0b506050, 0xfa2143a7, 0x00941b45, 0x00d28351,
+    0xf9997c92, 0x34515feb, 0x6f5c08de, 0x185eeba8, 0x0c01b50d, 0x6e92e893, 0xb7148587, 0x298b84ad,
+    0x2ecc3af9, 0x68ba850e, 0x1925412f, 0x2b477e08, 0x6df4e4e5, 0x006db437, 0x182f2308, 0x89ff367f,
+    0x01354b78, 0x4dbaf711, 0xe9bd8541, 0x9c5240db, 0xccc4c15e, 0xd8c9d0b6, 0x50cd2111, 0xe21ae445,
+    0x3d600f8c, 0x576ae374, 0x85f7e223, 0x52472015, 0xa9f9b6fc, 0x6b33646e, 0x81eb27dc, 0x1c31c387,
+    0x55432414, 0xce260505, 0xab6f3c91, 0xaa54ba4b, 0x2a5046df, 0x6d174a4c, 0xa76c5056, 0xef8b59ee,
+    0xee4e6a80, 0x56b2bd1c, 0x1668280d, 0xeea91264, 0x5ac2178f, 0xe6bb2e0c, 0xf26a33d6, 0xd14a7c7b,
+    0x3437b8ad, 0xf502acc9, 0x88e5eea0, 0xc69699ad, 0xfa4adee0, 0xd3a14bcb, 0x6022193a, 0x310e1f83,
+    0x4d1e2fc8, 0x7d6c9b27, 0x78dc886f, 0x6628367b, 0xc44c7101, 0x11709f84, 0x30809936, 0x38aaa8b5,
+    0xa5b66b7a, 0xd09ed4f4, 0x4d87e57f, 0xb7df5c5c, 0x01392aef, 0x82a813c6, 0xcdeeb4e3, 0x0b7b3757,
+    0x57b1ae2c, 0xb387d6c8, 0x5f422483, 0x4cc460a6, 0x0d7b8489, 0x9600a410, 0x7add9451, 0xc4656fd7,
+    0x6b0141e8, 0xd27a6567, 0xe67f309c, 0x1cc61ea5, 0xc6422ff2, 0x5207cc03, 0xc6824158, 0x5599b081,
+    0x9f318368, 0x10f081b6, 0xa3deebe0, 0xae580296, 0x0cd54853, 0x74447bf2, 0xd85961e1, 0xea78858a,
+    0x7a8bb9ea, 0x4f96aba2, 0xc33cd9fd, 0x076fad89, 0x77882587, 0xbba00119, 0x93e0b055, 0x2471da06,
+    0xc4a5f429, 0xf8dd3c48, 0xdb775f36, 0x130f01dc, 0x8322bba0, 0x576322de, 0x5c3f75ee, 0xa46afed8,
+    0xb0335ebd, 0xb0893d07, 0xad16576a, 0x06ad7c3e, 0x1728cf8a, 0x713894b3, 0x7721b72a, 0x056fce43,
+    0x7f39bde1, 0x515dfd4a, 0xf50b6d38, 0x7340d143, 0x4fff9b4a, 0x16393fbf, 0x2879f401, 0x398fed96,
+    0x114a8e6a, 0xdb663f04, 0xf526fe2b, 0xceea9852, 0x2be3eb12, 0x92213d1a, 0xafddd07c, 0xff274b31,
+    0x21b82ac2, 0x556243ad, 0xdbbdf545, 0x2e477907, 0x8f5824e1, 0xc4036321, 0xfbc3898f, 0x08deb505,
+    0x4aaf0d83, 0xf4160e0f, 0x9188fe3c, 0x46b1eaa3, 0xdddc197c, 0x5a7030ce, 0xcff841be, 0x7380ffbd,
+    0xab2b9059, 0x672c3a7c, 0xddc11229, 0x2f4f6ee0, 0x76700153, 0xd314a3fc, 0xe91cc028, 0x3240e053,
+    0xd3312199, 0x303a49a3, 0xf392b0e1, 0xee8cd2b8, 0x2e1fb20a, 0xd5a2920e, 0x456ed2ba, 0x1eb9bd92,
+    0xa0b8013d, 0x9034c25c, 0x3ceab115, 0x1eb49d7a, 0xe5a3cd82, 0x5bbc0c32, 0xd385dd28, 0x0bdc9908,
+    0x3704a6e4, 0xdd6f4562, 0x2f8f0447, 0x77f4b19f, 0x4c7b1dc4, 0x3a267e18, 0x5da9c5da, 0x70075f1a,
+    0x71daa6da, 0xbc3f9d53, 0x3bcec961, 0xfc29dccc, 0x85d42936, 0xb214eaf6, 0x21e48825, 0xb5624214,
+    0x2858a2b1, 0x419a06c6, 0xe9ec631f, 0x0676e34c, 0xfa3fcef8, 0xd58c2890, 0x1549d902, 0x2b162cf8,
+    0xeadab3a3, 0x2257ef1d, 0x7004f757, 0x6f6fe8dc, 0x2dd91c9f, 0xa282a486, 0x0317023f, 0xa7379810,
+    0xe5e53af7, 0xe6314ed6, 0x770b51c8, 0x2cd846a0, 0xce70ef90, 0x5904e850, 0x71b0234d, 0xf03ec47a,
+    0x8aecd916, 0x78d76ba9, 0x1f3ae1b2, 0x0e185bb7, 0x68ef3178, 0x4df182c1, 0x98cb7fdc, 0xd7bb3f8d,
+    0x18d82a69, 0xc6093de4, 0x7c99d61b, 0xb5786568, 0x78418ef9, 0x821dd21e, 0xe4144166, 0x53b74bca,
+    0xe9f761b2, 0x35c8b620, 0xfb546eae, 0xc747a8fd, 0x45045226, 0x0d8fdb4a, 0xfef3a3a6, 0x2b7bcdc1,
+    0xbe903c11, 0x00eadcdd, 0x3c055239, 0x3460272f, 0x88776b87, 0x6e6f5e83, 0xe873ce42, 0x59e966e4,
+    0xbbe00966, 0xae22091b, 0x739568e9, 0x5dc11091, 0x4b799dbb, 0x674999f8, 0x5c37c35c, 0xb7cc4297,
+    0x3e18b636, 0x5cd599c2, 0x83a2cc14, 0x726ad7bf, 0x4e4c13e0, 0x71756b8d, 0x8688e86e, 0x9dc41258,
+    0x63d157a6, 0xbff2ac5a, 0xebc3d6ca, 0x877032d8, 0x4004222c, 0x89e3a03a, 0x9ce37d0d, 0x92eff13e,
+    0x2cbd49e0, 0x72803d92, 0xcf9a306b, 0x51db7cf6, 0x87369d10, 0x431723e1, 0x9f1ecbe3, 0x9a41783b,
+    0x06ee3102, 0x6725d3f9, 0xcbceb10b, 0xa83ec471, 0xf3e8936a, 0x0884fa20, 0x1c8dbbd9, 0x3d1b76ec,
+    0x086ff49c, 0x24cd03e3, 0xcb4ce677, 0xbdb1a243, 0xd02daeef, 0xcbef7902, 0xbc565670, 0xdde3a1ee,
+    0xc2d81367, 0x68ba8f84, 0x7b03add7, 0x40eb1060, 0x3d37da6a, 0x653c3640, 0xe1f6da02, 0x55d72721,
+    0x92c4727a, 0x9d538cf6, 0x6b214d03, 0xed91be67, 0x53de11ce, 0x63da86ff, 0x54a5d06a, 0xe2cb6d19,
+    0xb86f5209, 0x917f4d9d, 0x1f310d45, 0x43aa32e2, 0x5109a338, 0x6a081e18, 0xeafea46f, 0x4c0124c7,
+    0xb25adcab, 0xa2329114, 0x4f59fac3, 0xdce8d78e, 0x63686129, 0x1b90980b, 0xbe8e7543, 0xb7739e29,
+    0x55290bb3, 0xca61e33e, 0xb7672b02, 0xc5ccdc2a, 0x841ceaf7, 0xc617f875, 0x7a11c439, 0xea758a0b,
+    0xd81bd73e, 0xa44cf61a, 0x91164196, 0xc87c3bcc, 0xb4090389, 0x7969bd5d, 0xee5cbd4e, 0xa5b32bef,
+    0x654d15ee, 0x199abb3e, 0xfd176142, 0x2a6da959, 0x305c80c5, 0x3d924554, 0x024a4e76, 0x41ea76c4,
+    0xd1e8a590, 0x0a18720e, 0x49b741ad, 0x6bb030d0, 0x3817eebe, 0x2d49230d, 0x4055ccbf, 0xf03b073c,
+    0xf36290c8, 0x63aab728, 0x985afcce, 0x5c9cd7f5, 0x3c20850d, 0x19e7c2ca, 0x5dfd9da7, 0x6f00758b,
+    0x15d5c02e, 0x4d850fac, 0x55a5bc50, 0x05889e18, 0xfc3872f2, 0xbb6645af, 0x4e31a7a9, 0xd4a302e8,
+    0xaf5b38f1, 0xc6af4fb1, 0x95bac0a4, 0x8fd79bfa, 0x310cf8ca, 0x2e05d0a1, 0xb23a6681, 0x4d9400ac,
+    0xfce6002c, 0x3d570bff, 0xa6cbae40, 0x34cee053, 0xb6e09343, 0x09763632, 0x10828439, 0xf508cec8,
+    0xf552701f, 0x0466a1c7, 0xba1b4463, 0x866e1c34, 0x897eec04, 0xd1897b7f, 0xce7cabaf, 0x390e59cb,
+    0x470b6afc, 0x3a59f69b, 0x8b7a2f03, 0x0059535e, 0xf7696cdf, 0x60208b0d, 0xcbf5c924, 0x4ec06a93,
+    0x9dd83384, 0x24dc74c8, 0xe16ea3ee, 0x23c8d875, 0xe90a17dd, 0x08d7ba23, 0xc11f1885, 0x76f9a125,
+    0x91570bd0, 0x11c02621, 0x3c03debb, 0xd413c10a, 0x4458aaa5, 0x07b71814, 0xed03cf25, 0xa13575e7,
+    0x2616f9d3, 0x0291a76c, 0x6ae75521, 0x3291fb82, 0x0d0c4950, 0x49c330ef, 0x202e50cd, 0xf4663324,
+    0x4a9b6fe7, 0xff62e6bd, 0x358317fc, 0xc5660ffe, 0x0d63d5bd, 0xc63ced0d, 0xeac0e069, 0x83df4f3b,
+    0x67d67cc8, 0xf2a9a516, 0x55fa1621, 0xe93d8817, 0x648d96c2, 0xb438ca41, 0x475f572f, 0x6e118aca,
+    0xfc47df28, 0x6cf5426c, 0xb4d98fd3, 0x10388c2d, 0xa923560a, 0xe9ae5588, 0x41af1367, 0xfa164253,
+    0xe9b2bffc, 0x02f57eec, 0xf9667f85, 0xa8e751e1, 0xa58ebdc7, 0xa11e10b1, 0x5a9b2a6b, 0x038c820d,
+    0x245ad32e, 0x65c00ba8, 0x483adc4b, 0x66e7050d, 0x0a8f13d2, 0x0c23023e, 0x6c87595b, 0x144a078d,
+    0x1f61face, 0x717a7060, 0xcb20e125, 0xbf5bd0b4, 0x7de97abe, 0x1118d926, 0xb7db7971, 0xcae03318,
+    0xf64de1cb, 0x79a85608, 0x386944b8, 0x61a34307, 0x660cd30f, 0xdcf6df82, 0x9fead7b6, 0x6314ecfa,
+    0x10ce4213, 0xa0276d78, 0x2c70c4d0, 0x65b7247b, 0xe84d311b, 0x1c52f634, 0x09712054, 0x7e62299b,
+    0x4c9ecc85, 0xca3859a3, 0xb92be070, 0xb68b54f1, 0x1e4181e6, 0xf0c61115, 0xb3ae5220, 0x7e7067df,
+    0xf02a37af, 0x428e775a, 0x24d7cfec, 0x663fa60a, 0x3f323dcf, 0x56e5dcb6, 0x526d09fa, 0x9df21258,
+    0x99261205, 0x81214e0a, 0xb74fc9c4, 0x640be52e, 0xeb5d3984, 0xeca7526a, 0x448fcb3d, 0x3ec84b94,
+    0xdcbd50c5, 0x9b52c3dd, 0x3e9cba9c, 0xe535491d, 0x76720d54, 0x12f08715, 0x6bc86d86, 0xe431ea39,
+    0x1518b5b5, 0xf6c66ed8, 0x9beaeac7, 0x9435d066, 0xd1183d1c, 0x86f9e7ac, 0xf0c712fb, 0xec5cc8e0,
+    0x3ab48e74, 0x40deba05, 0x244a88df, 0x390bd560, 0x0a083b90, 0xdcaa4cfe, 0x9a6d1c46, 0xd1dc22ce,
+    0x00000000,
+    0xedfe9b5e, 0x15fc9257, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000002596148429267413814265248164610048 */
+  { 0x00000000,
+    0x532b9763, 0x2ee91a1f, 0x9935f2ae, 0x821cbfce, 0x582b7f95, 0xdca1eab8, 0x6c644e78, 0x4ac24e15,
+    0x143c6d62, 0x6039b39c, 0x9ea65417, 0x5c4c7573, 0xf49ef7bb, 0x260d5f6d, 0x4f233876, 0xf1850e44,
+    0xe207b00d, 0x7f1a5483, 0xd986cd28, 0x3d0f87b3, 0x935d234e, 0x2686f6d5, 0xf0f6b155, 0xd7673e3f,
+    0x0b5fcee6, 0x4cf4bb0d, 0x9bb71f50, 0xc718bdf8, 0x93e7a7af, 0x9aab59f1, 0xf5aa3169, 0x0f5df5c3,
+    0x3b85f5ff, 0xb7e088bd, 0xf0c402b9, 0x22b7c459, 0x54eb83a5, 0xbc537f78, 0xf8d7f65a, 0x4aae73c5,
+    0x06236a0a, 0xa22fd545, 0x45723d3e, 0x8d8bdc0e, 0xd298f05f, 0xfa68c75b, 0xfc928cd4, 0x9832d1f4,
+    0xa58bd2ca, 0x615a27d4, 0xcdc9eb34, 0xd1dded2b, 0x363ab145, 0x16c46281, 0x6b97447a, 0x7520e00c,
+    0x5c0a3927, 0x4636315a, 0x53beccdb, 0x35a9d35a, 0x2593d113, 0x615397ea, 0x5ba4be92, 0xdf411c54,
+    0xf5eee60e, 0x7820d488, 0x4c767a8d, 0x14c63cea, 0xbf474e5f, 0x68638f10, 0xd8633490, 0x755cfc95,
+    0x586dc2c7, 0xb0363186, 0x59ebbdc8, 0xd6a7a69e, 0xa4dd0701, 0x30082f80, 0x34215fd7, 0x0fcbe9ca,
+    0x75048179, 0x99c0f214, 0x45830035, 0xd3e170d3, 0x6cfdac6c, 0xc0c61402, 0x2d9a69cf, 0x20fca953,
+    0xd43367df, 0xa056e6f2, 0xa2d1cf9a, 0x3b8d0991, 0x4af10448, 0x42af9016, 0xd7cd5f2e, 0x54907ded,
+    0xa93c6fa4, 0xd43548e3, 0x43f7e3bd, 0x7b2184fd, 0x675abf7d, 0xb2b47e46, 0x4709b708, 0xf50a43d8,
+    0x669d50bf, 0x8d594e70, 0xae719acf, 0x4b54f4b8, 0x02fec504, 0xb77bd3e9, 0x190229ca, 0x0c771da0,
+    0x5b5b5319, 0xeca624db, 0xc2426c3f, 0x615e9fce, 0xa43e7905, 0xbfb23daa, 0xb8d52720, 0x5fc8e508,
+    0x5dabe63f, 0xc8272ee5, 0x521687e2, 0xa6a2ddf4, 0x7e0e67c7, 0x0d472636, 0x17496c07, 0x35ff996b,
+    0xabdc71f0, 0xb827210c, 0x342ae482, 0xe5f21815, 0x4dec53a1, 0xab472890, 0xc6b33819, 0x4ff10e63,
+    0xe219aec6, 0x053d0ff0, 0x595c3003, 0x6e2f024e, 0x86a4bfed, 0x0b66f482, 0x69b3e209, 0x6ab57eb3,
+    0xfff45d2f, 0xe5e55900, 0xdea7a2e9, 0xe39aa9f3, 0x2485ce84, 0xd0c0b203, 0x24eef361, 0x34017a9a,
+    0xa0e03ffe, 0x07e4959c, 0xc603e1bb, 0x5b5dd06f, 0x54c83b5f, 0x9da8a6db, 0x2ca77292, 0x3ebbfde4,
+    0xee1d8b3d, 0xc4549419, 0x755c1814, 0x7fd8f8d3, 0x1fbc42ac, 0x7fe2d89e, 0xd65866c1, 0xb3865c9f,
+    0x112ed318, 0xc9d125ce, 0x378d2ad9, 0x700ae190, 0x07a562c0, 0xa22738d0, 0x119f7e2f, 0x2b5b1e6b,
+    0x02a48c93, 0x921eee25, 0x0bdb7938, 0x4279a53a, 0x8bab6625, 0xc2e7ad1e, 0xb3883e16, 0x7adb0e2f,
+    0x829aedcf, 0xd8fbfd49, 0x0aa22433, 0x4a02191e, 0xf98cd529, 0xc1e50b64, 0x796a943c, 0xfd2a9411,
+    0x4e6ce59e, 0x790f264a, 0xb672b266, 0x27d80670, 0x95ea1aa9, 0xe4ef7f6c, 0xa2d62aa7, 0x3f837446,
+    0x3a8c641a, 0xc2d702b0, 0xcdaf2775, 0xa82989d6, 0x9131386a, 0xdad9efef, 0xe03ece9e, 0x7900eafd,
+    0x147ac75f, 0x30ee91f6, 0xea9b4d7a, 0xc8173628, 0x23a01a34, 0x117bd4e3, 0xef5ef4f2, 0x8527060b,
+    0xeef97aa0, 0xb7f32c27, 0xb9700c39, 0xe6adcf0e, 0xbc2e8c4e, 0x4ad4364a, 0x1052b24e, 0xba38008a,
+    0xa2bd6732, 0x7c9cea0d, 0xece96abd, 0x3d8ea4a3, 0xace10599, 0xa854a8d8, 0x5577bd94, 0x639749ba,
+    0xbcc9787d, 0x015fff5d, 0x8db1016d, 0x2c8b3c51, 0xb407af2c, 0xb4017e0f, 0x746c6c1c, 0xf5812e4d,
+    0xd9b9b405, 0xc1fcf946, 0xb923be45, 0x564dd302, 0x534546b9, 0x2794859c, 0xac71b9b6, 0x4a56cd74,
+    0x7bf53a84, 0xc6c03ae5, 0x50f0083c, 0x76f4d55c, 0xa055e076, 0x49dfc9b5, 0x2b16dc5b, 0x719e9f44,
+    0xc6d63a9d, 0xd7266c5e, 0x13f7dbc2, 0x0fe49299, 0xf26bc6b6, 0xa145457b, 0x7c70552f, 0x2b2b72e2,
+    0x63aeb846, 0xc1a043b8, 0x2cbc8f53, 0x6b155934, 0xac4068a4, 0xd48ae6bf, 0xa0e02b7d, 0x4aa344c7,
+    0x8219b060, 0xa8ce98d4, 0x1ba99433, 0xd201daa4, 0x78ac74d9, 0x573abe6f, 0x2ab86263, 0x01cb8043,
+    0xf3946f13, 0x6b29ec62, 0xf23e6397, 0xbb4d58e2, 0x20ea5fdf, 0xcab74f1d, 0xc8376d9a, 0x66b7b58a,
+    0xceb621ca, 0xc772a50f, 0xf06321dd, 0xf25769c7, 0x06f6615e, 0xa1fd97ec, 0x6c3d1611, 0x6bca3bb2,
+    0x05458b94, 0xa908a7cf, 0xbe22950c, 0x0ce3431d, 0xee7c64d4, 0xeb62a434, 0x1f49194a, 0x79641c8e,
+    0xe66bbc17, 0x597ce8fc, 0x6d825273, 0x4d5f5436, 0x81092111, 0x2a10f116, 0xbb817f57, 0xdcbe1a3d,
+    0x1c4f751e, 0x6e4e08e0, 0x46cc5128, 0xad19bc0e, 0x534eeeae, 0x5afa7398, 0xc347217d, 0xaae2babb,
+    0x7ab86e87, 0xb16f634d, 0x9a44ec59, 0xf766daf3, 0x074f94e6, 0x7237eebc, 0xb7320ac4, 0x3705f990,
+    0x28011baf, 0x3945968c, 0xfaa461c9, 0xde3db6e8, 0x1a230a44, 0x3db97882, 0xd5669465, 0x804c4c51,
+    0x5b2c748c, 0x0660b7d1, 0x3154c677, 0xa22eeb09, 0xc6d0de15, 0x03698fa8, 0xcbe5e93f, 0x7d7362d5,
+    0xa91da45a, 0xaa31c363, 0x7c77f23c, 0xfb84c18a, 0xe635cde8, 0x28f4a32f, 0xa2974594, 0xac1118fe,
+    0x03f01921, 0x7007a8ba, 0xc761da86, 0x6d093b53, 0xc744ae6f, 0xc899cba6, 0x011e640e, 0x2fa70a04,
+    0x338fb595, 0xd0e7f9f4, 0x3a135f7e, 0x6231fb99, 0x078abc2a, 0x7ef31b2f, 0x21d28eee, 0x17f483d0,
+    0x4dcd3884, 0xe07255cd, 0xd6a60ab5, 0xe16a6d40, 0x1d305958, 0x68083e55, 0xbfbb2697, 0x207cf80a,
+    0xa096cc57, 0x58541c26, 0x76b15b03, 0xf1d8a79a, 0x77ab898b, 0x660b7dda, 0xb0c11d36, 0x627fd090,
+    0xcf221568, 0x32a08e14, 0xdace5014, 0x1f6b4d74, 0x97c93651, 0xe29f71dd, 0x8033cc08, 0x14fd247a,
+    0xdf3b7b71, 0x361c906f, 0x530ecdbe, 0xd9a957f8, 0xe70b8ff4, 0x03d0864c, 0x51d6d800, 0x8a2fbd03,
+    0x0a55bbe1, 0xc592e569, 0x527c1501, 0xdf36310f, 0x865b71ee, 0x735e83ef, 0xc985b96b, 0x1c7ac3d9,
+    0x0c12ca4f, 0x038255cf, 0xbc7ebca8, 0x612cbb02, 0x37f338c3, 0xeb4e8f88, 0x7b4ab7d3, 0x7aa23044,
+    0x1610a151, 0xb758b6a2, 0x66596a18, 0x818b7780, 0xc7704e66, 0x5f0762bf, 0x89f1ff9d, 0x541747fb,
+    0x8487c06b, 0x951d2e08, 0x646bd96f, 0x5bee04da, 0x8f88e3e5, 0xfe660c51, 0xb2aefc40, 0x117a9883,
+    0xcff93e13, 0xb498198f, 0xac32fed9, 0x9c827aee, 0x1ed600b6, 0x38b395ae, 0xe7bea539, 0x5824c9ed,
+    0x5e0e480c, 0x3c301589, 0x6ddca73e, 0x6943cb39, 0xa51e8b89, 0x8022bf1d, 0xe3f2b31f, 0x64ce95ea,
+    0xd7011066, 0x70995454, 0x19cec234, 0x0db064d2, 0x59de6bc1, 0x292ce425, 0xf87e0a01, 0x489b0a49,
+    0x63324267, 0x80ba22cf, 0xc59253ad, 0x3591cae4, 0xc0d6d260, 0xc95bbf06, 0x6207f464, 0xe90b50de,
+    0xb3b50d39, 0xcc8e27bb, 0xd9f7b78e, 0x0a7e772c, 0xe7ef640f, 0x64cce5b5, 0x9089e9c1, 0x67eb0cac,
+    0x33030b2e, 0xc88db575, 0x91d65877, 0xabd29f6a, 0xc206f1ed, 0x59070225, 0xbdc04b7a, 0x787b0f63,
+    0x0cb4857f, 0xdd785a74, 0xcc458d1c, 0x66f5b6a1, 0x9fd44cd8, 0xfdb7f7ec, 0xe1d4d448, 0x7697b23a,
+    0x089ebf65, 0xe4363dcc, 0x8cfcc58f, 0xcdb377ae, 0x97e27f25, 0x4bb9d849, 0x86f722fc, 0xffb17ae3,
+    0x24261935, 0xdc7d6794, 0xdd2c5cf4, 0x79daa8a7, 0xf7bf587b, 0x9c28f8b4, 0x031fd508, 0x2c019b7f,
+    0x0c4f4951, 0xad8c512f, 0xfe7cb698, 0x529958da, 0x2086eb9f, 0x6d8876c2, 0xf83eac6a, 0xb6d8e409,
+    0x33a5ff08, 0xc43b9759, 0x313b1728, 0x534d8af7, 0x27a2ddd7, 0xef90a02f, 0x9ec8a826, 0x98f1eb12,
+    0x79e76450, 0xbb74255c, 0x1a4fda53, 0xaf639d85, 0x8b4d2c2c, 0x4f41098b, 0x55b14a72, 0x3d737998,
+    0xacd40ef1, 0xaa9c0a3f, 0x8a88e1c4, 0x904e3060, 0x15dc6d59, 0xb4e4b1bf, 0x408a9b7b, 0x94a4d83c,
+    0x2642c934, 0xece8b5b7, 0x49ce8df0, 0x828a5d77, 0xe36886d5, 0x3ecfcca3, 0xd3f7e280, 0x4ad65543,
+    0x0d6754df, 0xbdb30021, 0xefa1277c, 0xfb2bce0b, 0x068f46c0, 0x122ccc17, 0x472b9582, 0x8b48822f,
+    0xa049fbb4, 0x435f8520, 0x8c6bda2d, 0x828c2ae6, 0x58ed2441, 0x7ddd9edc, 0xf6e4623f, 0xe92f2252,
+    0xeae82e81, 0x57415afe, 0xc859933b, 0xf205d141, 0x1cdba657, 0xa67c87a5, 0x28956b96, 0xb553b05d,
+    0x18c69dad, 0x2e92b181, 0x3a71a6e5, 0xfe24d856, 0x7daac5bf, 0xeae262a0, 0xa075c1d7, 0x6842ad23,
+    0x472b8493, 0x92396d3e, 0x655a4c12, 0x43480151, 0x2b3bb8ec, 0x537564e2, 0x741bdaef, 0xb3bee6fc,
+    0x334cb451, 0x18a9d7b0, 0xf8291183, 0x8fcc960e, 0x84811ba6, 0xdb9638ea, 0xf7a5a6a1, 0x5772d955,
+    0x29af515b, 0x1834d003, 0x5428e87d, 0x1eeea086, 0x56cb2eba, 0xf93a2bb4, 0x1ca28746, 0x335b92ea,
+    0x8f91ea37, 0xb963370d, 0xed75527b, 0xa37c34f7, 0xb8c1c1b5, 0x7382a095, 0xc0c58095, 0x234d3b6d,
+    0xbe7e4365, 0xa3f49167, 0x85dbc151, 0xf37ee8ad, 0x296f29e5, 0x5e3053b5, 0x1613ae40, 0x7c8ae0d7,
+    0x3611a9d6, 0x8abd26e7, 0x53c8a013, 0xbbf81f61, 0x984ad52b, 0x5725cfd6, 0x29ebf107, 0xf2fc4d2f,
+    0x2ef7c6e7, 0xb5955395, 0x9c0a9b6a, 0x53afba91, 0x6929e627, 0x639e9f14, 0x695e4371, 0xf01b6e94,
+    0x4e8d75ce, 0x8e49a616, 0xff72a4d3, 0x38515d0f, 0x52f574af, 0x7beaa839, 0xc9a7210d, 0x07ae9b3e,
+    0x0d1b13d0, 0xb8f80f86, 0x6dca73f0, 0x13ca2d9a, 0xc0be5774, 0xbb239d33, 0x50947a2a, 0xa84ccbdb,
+    0x626ccc9c, 0xb1075513, 0xbd59c77e, 0x1524741e, 0x4a52fb6f, 0xd0bcb7de, 0xb043c8e7, 0x012f0197,
+    0xebb2cd39, 0x69b126c4, 0x18966b04, 0x9164188a, 0x5215baca, 0x46f354cb, 0x0911d75f, 0x74a6f31c,
+    0x09b98820, 0x7d90016a, 0x4bc59cc8, 0xc84fdd9d, 0x31aafef3, 0x4bd4fa5d, 0xb2b09701, 0xdd6edb98,
+    0x4f74147a, 0xaf44479c, 0x2dc01dae, 0xef5735b4, 0x7f161571, 0x6c3d0aae, 0xdd39b134, 0x10abf3d4,
+    0xb916b89f, 0xdaf612dd, 0x1d41c289, 0x093f98d4, 0x379a72e0, 0x4a0fb83b, 0x373382ea, 0x0cf97e4a,
+    0x8ea2a76c, 0xec96460d, 0x663bdaec, 0xd7d1e09a, 0x89dd6e46, 0xed1ff7b6, 0xa5e54e2f, 0x61fe4153,
+    0x9afdf597, 0x9326a8fe, 0x652e2562, 0x27134c78, 0x2ae6b530, 0xb5a417c5, 0xc38c1d11, 0x3e2eba5b,
+    0x5e5d3649, 0xb39ed306, 0xac54f5e5, 0xe30a079f, 0x539a3407, 0x74c2c34a, 0x24903803, 0xa84a709d,
+    0x044a1d6c, 0x9294cec2, 0x68961b85, 0xa0d8a53c, 0x690098d1, 0x5e4e9a37, 0x54036e7f, 0x3cd727ea,
+    0x1925290f, 0xf83c87be, 0x12cdcdd8, 0x8fb8c1f9, 0x9817e148, 0x6d463f7a, 0x5bebe924, 0x79e3b657,
+    0xe0acd68f, 0x676e49a1, 0xa601dfed, 0x00467c98, 0xf43808cf, 0xa779bb41, 0xa14f5281, 0x0aef37f8,
+    0x995b7811, 0x5ac36904, 0x290b2fdd, 0xc2137b94, 0x86f66db1, 0x3f01f4b6, 0x76eaf450, 0xa51a9be1,
+    0xf96df47a, 0x949fecdd, 0x51b997ca, 0x5009267c, 0xb8f97591, 0x85849076, 0xebbc99c4, 0x24273c0c,
+    0x76260b51, 0xf9d55ada, 0xfb7d1479, 0x9a8877c4, 0xccfc48d9, 0x8c40804e, 0x163b573f, 0xb41e6e80,
+    0x43ba6fd6, 0x592079af, 0xc2a10902, 0x2fe97387, 0xfe4f0759, 0x6252bf5a, 0xb4037036, 0x558e4023,
+    0xe928d1dd, 0x808d89b4, 0xc89dfd00, 0x0d6b231f, 0x783cd59c, 0x489ce53a, 0x05c03e17, 0xd6c251f1,
+    0x597257a5, 0xc41a2566, 0x911714a2, 0xeedb0bda, 0x98aae07a, 0xef823de0, 0x288e7d3e, 0xc567ee36,
+    0xa86e5bbc, 0xf7d03101, 0x94bd32f3, 0xb5aa93e3, 0x3848e721, 0xd4ced172, 0x0fba6fd6, 0xc1458a68,
+    0xd34bfdac, 0x6aa09d17, 0xb4544774, 0x2289fc1f, 0x8f86b776, 0xb531460a, 0xeff27b37, 0xb5d4d74f,
+    0xf0e0b2c4, 0x45b04605, 0x34a1f337, 0x2058b8d1, 0x6f7ef15c, 0x249cb9b4, 0xf3ffe8ef, 0x60032fb2,
+    0xdf58ffa2, 0x2e07fa2e, 0x94dff9a8, 0xfbc8338c, 0xe691879d, 0x018a4c30, 0xf09d48be, 0x716235e3,
+    0xb9a50974, 0x6bc6649a, 0x5031425c, 0x3e980723, 0x2a85b377, 0xf91f72d1, 0x8c1c0e5c, 0x103e0ea4,
+    0x529ed652, 0x0b6d7840, 0xd30d64fe, 0x7b36045d, 0x1cb9537e, 0x0ee7e4f0, 0xca07ceba, 0x7233cc17,
+    0x6bc1a187, 0x92997b50, 0xfddff03f, 0x904cab9a, 0xd7eacbdf, 0x7edb07d5, 0xdeacb67c, 0xfca91581,
+    0x2b452c20, 0x8859b42f, 0xf3a21fb3, 0xce9559b4, 0xef22dfb6, 0x1c303635, 0xa37fb6d4, 0x444415e7,
+    0x8da33819, 0xd3301af2, 0x3275f1e7, 0xab5b6b5f, 0x02ba2bc7, 0x5dc68c7a, 0x42bb4b42, 0x28da94c8,
+    0xaf3baa47, 0xd6b6619b, 0x9446dbe5, 0x2ae5ac1a, 0xe98f6f66, 0x2c45a8fe, 0xcdf9d9b7, 0x762d2c01,
+    0x6625b0a2, 0xad821e0d, 0x3814b01b, 0xdb099ec8, 0x4e76b5f1, 0x0ca8933f, 0xe3b6c026, 0x1bdcd2ea,
+    0x67dba34b, 0xc7c74eab, 0x30fa6816, 0x176b20d7, 0x954e44f8, 0x57b6c37d, 0xfa037399, 0x684d6f56,
+    0x19be6690, 0xa21c7901, 0x46f3abcf, 0x714173d4, 0xba09d433, 0xb7719c21, 0x9184bb9e, 0x15c024d7,
+    0x14855f43, 0xf709f6e2, 0x8af786d6, 0x2abd5cb0, 0xb12d42e5, 0xfe134fce, 0x2e0c9791, 0x08bbfcfd,
+    0xee0880c2, 0xf76fa792, 0x72da8863, 0x1983e3a0, 0x7c16f9e1, 0x5b78f884, 0xc309eb2a, 0xcf7cb4ac,
+    0x64d50e03, 0x8252f719, 0xad8c4996, 0x3902f960, 0x3ac60889, 0xa1b80275, 0x103c31c0, 0x24c7d830,
+    0x236753b3, 0xf1c10503, 0xc57fc1c6, 0xa40553aa, 0x719bec02, 0xdb9bb82a, 0x5cfeaf35, 0x0c938a19,
+    0x1f4b0644, 0xd08e7e99, 0x93916833, 0x7bc92796, 0xc60ce3d9, 0x2e489428, 0x0ab2f261, 0x2ddab4b9,
+    0x4c7a66e0, 0x1b03e813, 0x9e6ac642, 0x90755231, 0x2b6b11d3, 0xea47eac3, 0xfe7c341d, 0x7b7beb8b,
+    0x32f7c4c0, 0x9582f5a1, 0x8dd3987c, 0xb6b3bf5e, 0x4e0d0075, 0xdbf5812d, 0xb2bf8ca8, 0xe1fbb09f,
+    0xcd21b33a, 0xc4e57b33, 0x5baf65e7, 0xda3d0e8c, 0xf5b365ae, 0x626d2f9c, 0xd81cedf5, 0x1d3297d0,
+    0x40bcc2b3, 0xe10a4b29, 0x555cd0d1, 0xb7a565aa, 0x01040e1b, 0x733a1dc7, 0xeba9366e, 0x9b7f2391,
+    0x7738b734, 0x98848a8b, 0x87c2ac1b, 0x1c351638, 0xcf9d4fc8, 0xaee7bdee, 0xcc41497a, 0x1311d996,
+    0x322d1a28, 0xc755f3f3, 0xfe4ceb1c, 0x03fbd6bd, 0xdd4de74d, 0x95f3034e, 0x6411c222, 0x2ae1d513,
+    0x6432773c, 0x8e12bcae, 0xf099e70e, 0x30e239fd, 0x5cd35ea5, 0x845fabd4, 0xa256c9b4, 0x8897c091,
+    0x8f87e6f3, 0xc9d31477, 0x85f4118d, 0xbea781b8, 0xc6d3002a, 0xe6e8ef53, 0x2649abdb, 0x077abf85,
+    0x2378bbaf, 0x7e41ae1a, 0xf009ddb9, 0x68004659, 0x7e5deed9, 0xda680b53, 0xf4da5919, 0xf2f16646,
+    0x8726dfa6, 0x3e361e24, 0x7db18ce0, 0xb097583c, 0xa17f016e, 0x5b021cba, 0x7276b269, 0xe7c8e084,
+    0x00000000,
+    0xf6ff4dae, 0x8afe492b, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000001298074214633706907132624082305024 */
+  { 0x00000000,
+    0x52051762, 0x49dcf63d, 0x79a6d776, 0x411c6ede, 0x6105a704, 0x1bb6e646, 0x8f9d80df, 0xbabc58f8,
+    0xee661c50, 0xfdd85e54, 0x1ef240ad, 0xd285953d, 0xf3305b53, 0x254ab7d3, 0x8b80a026, 0xf53c45c7,
+    0xc14c2940, 0xe34840b7, 0x652e9b0e, 0x39d87153, 0xbce0b8fb, 0x45ba174c, 0x2d18128a, 0xc269e789,
+    0xdd1ecdf6, 0x450b968b, 0x6f2f1912, 0x91fdc73a, 0x662e868b, 0x206640e2, 0x791d7ce0, 0x9630a219,
+    0x2649e7ca, 0x9a4e067f, 0x3f365608, 0x75447381, 0xb2084166, 0x3dd4dfdb, 0x8cc265a2, 0x4ac9ca55,
+    0xd4c86f50, 0xfd8aebd6, 0x0c7109f6, 0x0b6acdd8, 0xc992dd76, 0xf6d9890d, 0x20d9b191, 0x725e5345,
+    0xf235af13, 0xa3abc7ea, 0xd4eea539, 0x3db6eec6, 0xc9fd2fa7, 0x0cf61738, 0x322b87c8, 0xfc5cf97e,
+    0x235687e6, 0x17dec2ca, 0x4be1ab5e, 0x8b83fe0d, 0x99df4393, 0x2f2f8b8c, 0xdc23beae, 0xa6c1dfba,
+    0x4894c6bd, 0xc9ad5771, 0x9d1e2194, 0xcb26529d, 0x63114fae, 0xdc5a2ab2, 0xc744dbba, 0xb6bc8227,
+    0xc2228343, 0x37f04963, 0x4eeef26a, 0x6267f593, 0xaecc119e, 0xdff64cf1, 0xf06c6413, 0x561b4169,
+    0xb3177c82, 0xc334d664, 0x0422bbdd, 0xd7e78b58, 0xbc55153e, 0xaa4cffaf, 0x9338bf3d, 0x58a5789a,
+    0xa88b0e56, 0x6ef14508, 0xf657f9f3, 0xe81a7ae4, 0x4695cd04, 0xeb949208, 0x18b5bec8, 0x31aaa8ed,
+    0xc74b68d6, 0x51261c62, 0x735d903d, 0x1d857141, 0x882d8fc3, 0x5ed3aa3e, 0xf4c51747, 0x541113e5,
+    0x22b641e2, 0xd0c0728e, 0x70c6162b, 0xe5ba156e, 0xa30a2bb7, 0xd752c6f3, 0x851e4294, 0x8eda1003,
+    0x772d397c, 0xf6d881af, 0x419de6bc, 0x4b0971cf, 0x9ed6e40e, 0xa659999a, 0xf03e245d, 0x36780581,
+    0x612bd39f, 0xa104fbe5, 0xdb6afbc0, 0xd61ba3f3, 0xc21919e0, 0x6f50f132, 0xcc41a7b4, 0xb202fd62,
+    0xce2205df, 0x7c576929, 0x83d28dbb, 0x3d5d7172, 0x924c5066, 0x7fb628f4, 0xc2c56b73, 0x630621d7,
+    0x9dc2fbf9, 0xd5356b8a, 0x13e67aa3, 0x85df1f31, 0x5554fdae, 0xf18449bf, 0x4a106d9e, 0x798b5556,
+    0xd7912c63, 0x40f3ccd6, 0x7aa666c1, 0x8bb3d3d1, 0xfb362d5f, 0x412c67f5, 0x93e1cc43, 0x892d853b,
+    0x374cda87, 0xc74c9511, 0x85e0bc76, 0x6875baa1, 0x9c31b561, 0x68a48581, 0xe51e37f9, 0x14288941,
+    0x1f7bd046, 0xb608f3ae, 0xfca6ca21, 0xbb30abba, 0x3a299f31, 0xf11eaf70, 0xea4dc287, 0x563d32a2,
+    0x236d9f47, 0x89a7eeef, 0x0aeb771f, 0x3210161a, 0x5ffca740, 0x2155b4ab, 0x715319af, 0xb58efbc2,
+    0x706080d8, 0x458195e2, 0xe0dd2063, 0xa7f36806, 0x8d271725, 0x890d0f90, 0xf3cc078c, 0x733fa9c6,
+    0xe4eba476, 0x64812a2f, 0x061111d9, 0x19b05406, 0x5a60ef88, 0x8d2e613b, 0xc5d622e3, 0xd45be178,
+    0x390703d7, 0x38eb14df, 0xbd808a29, 0x176982a5, 0x2cef9b0f, 0xb14e9626, 0x598c1399, 0x9d3a3f4d,
+    0xb20e8d45, 0xa028e433, 0xdd9693fa, 0x0595d6ba, 0x5cca2adc, 0x1b5b8fc1, 0xae0ffb31, 0x27c689f9,
+    0x2775f6c4, 0x341dbd3c, 0xaec8c1a1, 0x71059d03, 0xbc411ca2, 0xa4271a3c, 0x16074c39, 0x61fa64d0,
+    0xeec36783, 0x71011346, 0x0e6ad414, 0x3036d87d, 0x604e9bc0, 0x39dfa58e, 0xeb878f95, 0xade16a16,
+    0x6a3662c9, 0xd6d5a00d, 0xf45ac8d5, 0x8f0b151a, 0xddf1a89b, 0xc724be3d, 0xa880084b, 0x07e9444e,
+    0xbfdb03bd, 0xc8249189, 0x23bc9a58, 0xb2cc38cc, 0x2acfa1f2, 0xfd11ff24, 0xb4923ed4, 0xd3368f4f,
+    0x7e39fb81, 0x03bafa52, 0x20a0c2d1, 0x94a3e7b7, 0xd9b76d47, 0xcd92ed4d, 0xe554f61e, 0x98e749bf,
+    0x97eba7f8, 0x995211ad, 0x2362f46b, 0xfe0fbda5, 0x9bfaf384, 0x723730fc, 0x9cdda66c, 0xa86f2cbb,
+    0xf0c9a8d0, 0x7ef1c2f1, 0xdd452305, 0xa8cac65f, 0x21855d20, 0x3e73943b, 0xd5181374, 0xa5218c36,
+    0x7352cf55, 0x0b77dbf7, 0xe3d61880, 0x57b2a116, 0x0bf3b797, 0xe999d5ce, 0xee22b6a8, 0x7c56fb24,
+    0x40052c07, 0x35e4394f, 0xdaa039da, 0xe8704727, 0xbd327354, 0x3c64eb70, 0x9a228dd8, 0xfdf7fd19,
+    0xc1057db8, 0x0339e812, 0x0f9699bd, 0xeed1ccbc, 0x5caae21c, 0xc82b0725, 0x92436018, 0x989581a4,
+    0x3a45faa4, 0xc5d381bd, 0x6e4d41c1, 0x57b765a4, 0xb9bf1e6f, 0x6750c2a3, 0xf347e5c9, 0x685ad117,
+    0x7748bdb1, 0xb49fb097, 0x0809ab49, 0xc5c156fd, 0x0b459d4f, 0xa6f02011, 0xb0873eaf, 0x01e537d5,
+    0xb1246ec3, 0x3ffa4ed0, 0x66d583dc, 0xab439ac4, 0xe47c7227, 0xb4e2d815, 0xc5e4d377, 0xb40e08e9,
+    0x922731f9, 0xe91ffc94, 0x62283abe, 0x8f148536, 0x627a3ffb, 0xce9e4e5c, 0x850052bb, 0x13ea52aa,
+    0x752d1f1a, 0x880f928b, 0x3ef3faa4, 0xc9649acd, 0x886358db, 0xb71c9327, 0x0a68e470, 0xc1f2dd12,
+    0x51b35022, 0xecb8aa3a, 0xe287c387, 0x03bbcd02, 0x686c2c41, 0xa5afe8ff, 0x7798effa, 0x93d88370,
+    0x2d2e4a11, 0x7eb9c200, 0x7be02704, 0x7ce74889, 0x637bcf34, 0xebb585a0, 0x290b72f0, 0x7e99d9ce,
+    0xd118fe3b, 0xc5b029ab, 0x4bb68f24, 0xcdd4e427, 0xd6c706db, 0xb066611e, 0x3c863df8, 0x0ba4dfac,
+    0x600497c1, 0x51a772a4, 0x9df81a38, 0xd567bf9c, 0x64ce12d3, 0x44d3711a, 0x5cde7976, 0xb6b833df,
+    0xfb16bbc1, 0x42643044, 0x87b3b670, 0x5d81afcb, 0x43e0a699, 0x0da1fd4d, 0xea606f20, 0x283ac7ef,
+    0x914c44f0, 0x14cd58b2, 0x8f9c036b, 0xc78983cd, 0x631af52d, 0x0eda2591, 0x06178cf9, 0x487b3381,
+    0x56caa6dc, 0x3662db7e, 0xb9658753, 0xe825b3a5, 0x7de070fa, 0xcd5bf863, 0x48ab8f73, 0x2f52788c,
+    0x49b990d1, 0x15e27906, 0x9789b27b, 0x92794e97, 0x764a5747, 0xc5db11d4, 0xdd0f2333, 0x636918a0,
+    0x2f866820, 0xa772ee36, 0x1dfbdf00, 0x48bb2ac9, 0xfc0bfcb5, 0xcce86261, 0xfc485f63, 0x8c915ca8,
+    0xbef82f9b, 0xeb30aafa, 0xd60ca4a9, 0x14abbee9, 0xcf67825f, 0x249dcf33, 0xb2988ced, 0x1131e924,
+    0x6b044e3b, 0x8077ec18, 0xd21b3343, 0x1104275a, 0x019b0c25, 0x6c077cbc, 0x280855cf, 0x8c414e21,
+    0xfd267f12, 0x6569c236, 0x685cff78, 0xb6607d7b, 0x161a94aa, 0x30358c73, 0xb2b26f51, 0x5908d085,
+    0x75ad1333, 0x37c94e0c, 0x1fe2b2d0, 0x38283174, 0xb537e23c, 0xc45abd30, 0x80fb5db2, 0x322b2cbc,
+    0x460f6c44, 0xf0cb8a43, 0xda95fe77, 0x37a25123, 0x3f63196b, 0x2515c702, 0xe4dc17a5, 0x994901a2,
+    0x9ace9d7c, 0xa62d5e14, 0x663971d8, 0xc15cd1ea, 0x06f69227, 0xfb2a6687, 0x3213469d, 0x92f9d680,
+    0x55423cb4, 0x0419752f, 0x765c201c, 0x31bac21e, 0x370c0835, 0xec8a6802, 0xc91a5757, 0x3134528b,
+    0x395bd550, 0xcfc78471, 0x8f637715, 0x0a1db8a2, 0xfe9ea0cc, 0x5edabb50, 0x970bf7fb, 0x8e514fd0,
+    0xec9dbb3a, 0x7c727bc9, 0xbb32c61c, 0xa9cd59fd, 0x4aa83ac8, 0x6b54afa6, 0x9a242c53, 0xaafc0db0,
+    0x4cfec701, 0x3059f3d9, 0xb86910c3, 0x5ff8bcaa, 0x856fb179, 0xe45de57c, 0x2f078189, 0x6fc57585,
+    0x3f872a76, 0xe506cffa, 0xaf0b55b7, 0x6aa90412, 0x8eb5ca57, 0xde4f766f, 0x2c9254fa, 0xd3f7b2c1,
+    0x7625dca3, 0x6dab0ec7, 0x815275cf, 0x9a03aac9, 0x3e2e6958, 0xe1d9e2d4, 0xfd840687, 0xd74dd89b,
+    0x96aac0a3, 0xac669e75, 0x15df9197, 0xb9deb9c6, 0x5aeaacda, 0x150ce865, 0xf9f4e682, 0xea3ce79d,
+    0x9902542f, 0xee85df63, 0x2755e15f, 0x137a1369, 0x0c41fcab, 0x46a554fa, 0xb688f420, 0x5471d0ee,
+    0xfad8d477, 0xa3fe7521, 0x6538b481, 0x2ac17051, 0xeeffc11d, 0x25532509, 0xa755c031, 0xee7e445b,
+    0x87da38e6, 0xdec2fa3f, 0x74646317, 0x24985cb3, 0xbee32eab, 0x83d98d09, 0x223afe6c, 0xe1068a7f,
+    0x97af085e, 0x4452ebf6, 0xbe48e560, 0x6b9484da, 0x6b1021ae, 0x3d255701, 0xce61c66e, 0xdbaf38ec,
+    0xef94519d, 0xb5072c4a, 0xd4847d78, 0x1f9735a0, 0xcb0e715c, 0xcf67ad42, 0xee52251c, 0x29f95ce7,
+    0x76806537, 0x7b78c516, 0x3f03ad99, 0x6f7c25de, 0xa5fbfd34, 0x39b5070a, 0xd715ed36, 0x604e210e,
+    0x05d8be0f, 0xfb9c1fe4, 0x60038fec, 0xd2a6ec95, 0x183c8297, 0x00011ad6, 0x09a56c34, 0xf185c182,
+    0x2816adb9, 0xcc20e6af, 0xba8722b9, 0xebb40b1e, 0xf67bead8, 0xe073d6b1, 0x91c1fa00, 0x110326b9,
+    0x12d141cb, 0x82a4eac9, 0xf00c5b0e, 0x5e3c9cea, 0x38ee2dcf, 0x06480f9b, 0x091762f1, 0xbd6d4001,
+    0xbb508b4d, 0xd023b34d, 0x103d380a, 0x0cafc540, 0xd546319b, 0x9fedbe12, 0xf2f3e24b, 0x5d85ada6,
+    0x383be5d0, 0x3e7f6948, 0xcc9170df, 0x9a64bb6b, 0x3e7b5918, 0x28da9231, 0x482e9c65, 0x5a6ec34d,
+    0xb0a87899, 0x00290c78, 0x304aed6d, 0xbc2fe11b, 0xce021156, 0xf7611278, 0x0976b7d4, 0x2c811dbe,
+    0x9829de69, 0x8da55d6e, 0x6f998cf1, 0x2fc66a52, 0xa0f6d56b, 0xfc4a4340, 0xe9256324, 0x77fa98c8,
+    0xcb863044, 0x63e8a231, 0xa9ce156b, 0xb6c9faf4, 0x760602da, 0x166cadc7, 0xad4dba13, 0xa7ddfe97,
+    0x79d77ccb, 0x0b0218ce, 0x1deb6258, 0xea1c6659, 0xd78dab53, 0x3f9f96d1, 0xce8a5fa2, 0xadc92dc9,
+    0x23ebed3c, 0x034b1314, 0x0c640194, 0x573c325f, 0x657c3b4f, 0x69b6c635, 0x5517aa2b, 0xa71e40a2,
+    0xa17f222f, 0x7d771296, 0xa2e5176b, 0x96158700, 0x5d7321b5, 0xe5a392b3, 0xd216e6d3, 0xa0191287,
+    0x95ffd4a7, 0xbade4e7c, 0x59e1d72d, 0xb66d9b86, 0xdd98144a, 0x9e83377d, 0x0ebc1f75, 0x8e9c7512,
+    0x98f8f447, 0xaff880a5, 0x03e5b674, 0xa22dac4c, 0x233c116f, 0x68b9ae5a, 0x33abd99f, 0x4d1656c0,
+    0x5550c383, 0xadbbb7ae, 0xa26a3e14, 0x99c63707, 0x779c44ce, 0xc7098152, 0xc7417236, 0x656bd68a,
+    0x828951d8, 0x977b1035, 0x4d9e9a15, 0xfb391043, 0x8f4b00e3, 0x9a8123fe, 0x027e2693, 0x53b7c985,
+    0x5c043662, 0x9ea09047, 0x32130b4e, 0xa684fb03, 0x06a097fa, 0xc34f880c, 0x7aa15c70, 0xc3bd6b2b,
+    0xd8a15529, 0xb4e419ba, 0x49409202, 0x46f29ec4, 0x30593959, 0x76178c0a, 0xd626613c, 0x818b534b,
+    0x116a94a8, 0xf7fd67da, 0x7ba0585b, 0xe90a96c2, 0x7914c914, 0x85a43839, 0xd5d026f5, 0x866b7f97,
+    0x172ea248, 0x8856a53a, 0x7e14e07d, 0x9dd30131, 0x64314aeb, 0x61a47493, 0x97ceaf60, 0xac7e85d7,
+    0x263e4eb4, 0xd2bdbc6a, 0x0613f333, 0xa30662e8, 0x2ef6f7e2, 0x15860d6c, 0xf19814fa, 0xde64b5d9,
+    0x7c2ec51c, 0xb45f131e, 0xf3a98511, 0x47ccbf50, 0x8c7f7662, 0x3ab1718f, 0xa8e11f71, 0x6abd46e2,
+    0x993d2957, 0x8014e173, 0x4778cef1, 0x3f9009ca, 0xbb9ba83c, 0x585c132c, 0x2c8d771c, 0x17154137,
+    0xee4eb7d2, 0xcbee51fc, 0x2cee8599, 0xd71221f4, 0x1b8cca5b, 0x3088cec7, 0x2d8688d0, 0xb17af8f3,
+    0x9e6022c1, 0xc1d32007, 0xbcba850c, 0x3a080ebb, 0x7b191721, 0xda429439, 0x79edbc81, 0x6744062d,
+    0x9869ee49, 0xc90061dd, 0xb129ed17, 0x6eb504fc, 0x71428060, 0xbbf00720, 0xe85c07c1, 0x45fe49d7,
+    0x6d7efaf6, 0x714fb369, 0xbe925f1e, 0xbefed841, 0xde259307, 0x7872f49c, 0xd2536408, 0x6f544027,
+    0xb032f676, 0x5e99962f, 0x09062aa2, 0x0f58a7b0, 0x41f8269f, 0xdf9a92d3, 0xc3b31a25, 0xcf7e5677,
+    0x6670443c, 0x85e44ba9, 0x6898f122, 0xff5db4c0, 0xd4fdb2d7, 0x0a826d13, 0xe45c82d8, 0x84e46e46,
+    0x86a3ded7, 0xbdf79414, 0xa218ea71, 0xb8ffe2d5, 0x74843652, 0x342735c3, 0xcdb840a7, 0x447f8444,
+    0xe2dfa416, 0x4ebf507d, 0x87decdfc, 0xc2954191, 0x7bf968b3, 0xe84be77c, 0x8bf4c93b, 0x48d7e1f3,
+    0x17a67732, 0x27061010, 0x02d89648, 0x509af3d5, 0x7e6b8de5, 0x66e5a7bb, 0xbaaecb14, 0xcba1538b,
+    0x423e96c9, 0xe38723ff, 0x65fea788, 0x99daba12, 0xeeec25ea, 0xe7d654b3, 0xb3943b0c, 0x718e853e,
+    0x225ed845, 0x1b4b796f, 0xe8237512, 0x610800e9, 0xc530a13a, 0x57394489, 0xd46ae601, 0xcfd8a39c,
+    0x0e8c1e64, 0x83b6a175, 0xef329c95, 0x1de7bc91, 0xd71310d8, 0xfc53e5b8, 0x82058afa, 0x505c0dec,
+    0x7fc3b69b, 0xde467e03, 0xbe97b412, 0x4669a2c2, 0xcba29c4d, 0xda6f8c27, 0x4abe4e9f, 0x1031356a,
+    0x47a5c937, 0x64231b24, 0x19eb6e1f, 0xf8727d51, 0x887d9bbb, 0x2aed1935, 0xdb669943, 0x9c5a2da7,
+    0xd33e713d, 0x80a23f83, 0x53cc72f3, 0x99c23603, 0xb0adce63, 0xb8dbd3c6, 0xa424125e, 0x87705fae,
+    0x90e248ea, 0x0ce795db, 0xcc6e520f, 0x1b4c09c9, 0xbcabb37e, 0x76b295c6, 0xa04d7cfd, 0xeda876fc,
+    0x942db942, 0xee8595d3, 0x3d951343, 0x77744b41, 0xbafbdf99, 0xf8ad5974, 0xb6fc783e, 0xd4ca1132,
+    0x179261e9, 0xfe9babe1, 0x649e9977, 0x4666e532, 0xb18a778a, 0xa5bd1b2e, 0xb4486b51, 0x0daaca90,
+    0x25f74c78, 0x9761faef, 0xac8f35e2, 0x25e2e782, 0xd7b8b8a3, 0x019fc3ce, 0xb8e3591c, 0x64eb76da,
+    0xa237142d, 0x13953c84, 0x5f506644, 0x7727676b, 0x5d6e5d59, 0x5855a2fd, 0x9853f929, 0x6c324460,
+    0x15fb6007, 0xeee58d89, 0x7a4871ad, 0x8dd54459, 0x7cc52084, 0x9c77097e, 0x9f5558b2, 0xc6fe4ba9,
+    0x6e6d6a3c, 0x4a5e2046, 0x51a409b9, 0x7e4b839a, 0x8d08207e, 0xf97c696f, 0xe52e41f6, 0xb4a1e462,
+    0x16f9b521, 0x3915e4a0, 0x3cf0e685, 0x72a688b0, 0x2b99da89, 0xb6cffde5, 0x43f7ae02, 0xb1cd0653,
+    0x780dea7c, 0x6611cfdd, 0x4e1e1498, 0x4f561741, 0xbabd15cc, 0x6b6b9a73, 0xccfd7454, 0x4f3ca7d7,
+    0x8381e65f, 0x40bbaa8b, 0xbaedffce, 0xfaf90aa7, 0x6ff17186, 0x4153b956, 0xdf6b1f37, 0x6a95cfdd,
+    0xd51369aa, 0xb854508c, 0x872a7434, 0xd9b22f9b, 0x6e0edb21, 0xc5440c84, 0xb963f515, 0xbcc27a91,
+    0x64fb669a, 0xac03668e, 0x42098ea2, 0x3a6cbb6c, 0x40f5fcc5, 0xd3310ff8, 0x2d73ad81, 0x8be49373,
+    0x85db7089, 0xbe5cddad, 0x5d33cca2, 0xa843e14e, 0xdd9e0929, 0x3d3c6cea, 0x510d5c84, 0x417e4cd9,
+    0xd98290ba, 0x6b1ec5e1, 0x8cfc9173, 0xeaa1816e, 0xb403ae0e, 0x33b1ac4f, 0x881797f2, 0x93c864c0,
+    0x1a70e4f6, 0x768c46b8, 0x1cd8a352, 0x91a661b3, 0x935c13ef, 0x93f64766, 0xdd705173, 0x5ebc7852,
+    0x5b5481c2, 0xc65cdb6c, 0x73b1894c, 0xbe46e1cf, 0x08cc3eaf, 0x86a65b60, 0x9f69642e, 0x98ab18d2,
+    0x847b5045, 0x7b0da7bb, 0xe119b760, 0xa195c24b, 0xe12191f1, 0xa536d682, 0xee10466f, 0xa4038d0b,
+    0xbd1a137f, 0x3bec493f, 0x8af55eac, 0x52ac0919, 0xdf3e9b84, 0x5a80f4f3, 0x7db80345, 0xc76fb1f6,
+    0x6c1475c6, 0x08012b58, 0x8a05920f, 0xe9200365, 0x9576d204, 0x0fb1c894, 0xaf813fe0, 0x2d31be6c,
+    0x16ad9cf8, 0x854cdce6, 0xda079ff8, 0xc02ca157, 0x35b3acfa, 0x49f378ff, 0xbe258df0, 0xf397745d,
+    0x00000000,
+    0xfb7fa6d6, 0xc57f2495, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000649037107316853453566312041152512 */
+  { 0x00000000,
+    0x7f93cd28, 0x07e1a369, 0x9081f0e2, 0x71c671f2, 0x08783ca1, 0xbebd5426, 0xa9e8a862, 0xd0d735ed,
+    0x70c9e88d, 0xa306f77b, 0xd43c8556, 0x8e5fb7b8, 0xbb0fcf0f, 0x40b0548b, 0xe2fe2eb0, 0x7dff6d7a,
+    0x1e27b321, 0xf91aab0c, 0x6fabc519, 0x79896bb8, 0x51a415a1, 0x52e1bc5f, 0xcc344091, 0xc9fb57e8,
+    0xd3164289, 0xb4deff18, 0xca730a69, 0x3784e24b, 0xf985d788, 0x179d6ec1, 0xd944887b, 0xc8c4eba2,
+    0x24e67993, 0x945a3490, 0x214a2e90, 0x8089f903, 0x3decad81, 0x2b4dfa5e, 0xd458bc4d, 0x58b1be90,
+    0x9af57352, 0x08244258, 0xb040f5a0, 0x3a2ff060, 0x2fe5c943, 0x12147266, 0xbd54306f, 0x1945db6f,
+    0x7c003d40, 0x7184a3d3, 0xc5193ce7, 0xddeb2bff, 0xbc22aa0d, 0xb075b548, 0xfe258db2, 0xe1b5b78a,
+    0x3d6e6a3a, 0x7611a1fc, 0x71d365f0, 0x19b4ff11, 0xb8e34940, 0x74543064, 0x9b2fe7d4, 0xcf795265,
+    0x077fbbe4, 0x91982534, 0xb6af4853, 0xdd60d4f7, 0x8ba7bdf8, 0xec739642, 0x31de5bd5, 0xb0e7cb9c,
+    0xf5bd15e4, 0xf4b829ae, 0x67e61547, 0xb0e9ff95, 0xf29def81, 0x54613106, 0x3ce26454, 0x64ab7857,
+    0xf9002080, 0x49136330, 0xf3e4b7fa, 0x5523f44c, 0x044e6d07, 0xd01a6b33, 0x99422ee5, 0xab5093a9,
+    0x49a0ab5b, 0x8cbf8f48, 0xae3c1e82, 0xc2ed5ff6, 0x273b9c05, 0x2e1f0016, 0x84954c56, 0xe79fa579,
+    0x24e30e70, 0xf0cce4fd, 0xfa8ba566, 0xb5186803, 0x6a954fa4, 0xa9acffc3, 0x5a975ea7, 0xb199ea50,
+    0xdc4d503c, 0xf2f5e5e1, 0xa32e2392, 0x371530f2, 0x474bdb98, 0xdddcea02, 0x1845bff0, 0x5d2e5fe2,
+    0x697b1321, 0x56c1ed96, 0x055284a2, 0x14b0b487, 0x3c35221b, 0xefbaaaa5, 0x49d4db62, 0xb5a1afc5,
+    0x0fa9281c, 0x010eb774, 0x5aa663cf, 0x20b67ce4, 0xf25eb729, 0xd6cd5c8b, 0xdcf3dbfe, 0x4cb28497,
+    0xe940cf63, 0x46abcad4, 0x99c1fa6f, 0x97c5acda, 0x77a53c60, 0xc0d4913e, 0x4266bb0a, 0x5752901c,
+    0x9a83f534, 0x71c09f5f, 0xb8d69083, 0x157d016d, 0x8883ef7e, 0xaaa0fd51, 0xad7c629b, 0x74ebf61a,
+    0x4d9f9639, 0xfb9b958d, 0xa0e512b6, 0x9f61592e, 0x694b2445, 0x7b94ac71, 0x393aebfb, 0x13380eef,
+    0x3d2fd08a, 0x92a001d2, 0xc3771d3e, 0xad074c44, 0xa2355128, 0xefcb839f, 0x09229095, 0x7fbce327,
+    0xaaf2b19b, 0xc519934f, 0xd1165811, 0xdf0e91bd, 0xb70dafdc, 0xb59d35ee, 0xcd433353, 0x66b82781,
+    0xe9e92f6c, 0x5ec194c5, 0xb12e3581, 0x3f2f0b8e, 0x222f3d6b, 0x680a584d, 0x44b87f28, 0xc76b75c7,
+    0x864963a1, 0xe35789b5, 0xf4345be2, 0x59b16816, 0x53838ade, 0xcd63dd29, 0xa00030b5, 0x4a6d7342,
+    0xc4932a2e, 0xfa3c389e, 0xea30c068, 0x355c8914, 0x14226ac5, 0xe739b9f5, 0xfc14acbb, 0x9d554afc,
+    0x98631acb, 0x83507189, 0x374325f1, 0x7d0ed078, 0x4b0c2227, 0x36237ece, 0xdd9a0ba4, 0xe46ee338,
+    0x9ccdad80, 0xe79b17ab, 0x6d7d344b, 0x3fdeafbf, 0x8757c70b, 0x4696bbeb, 0xdace4080, 0x37cd2198,
+    0xff870991, 0x017fc973, 0x09f84760, 0xb5137375, 0x07ceded3, 0xfd88d174, 0xf3cd758a, 0xc76dfe37,
+    0x6d71d900, 0x24103e0e, 0x18afdba4, 0xc779ea72, 0x3f53c2f6, 0x3ac3c80d, 0xa1885093, 0x2d119a53,
+    0x1497d816, 0xcbf26d40, 0x105b7870, 0xd1feb35e, 0xa0628c0c, 0x9a70e2ee, 0xd9baa817, 0x43efd426,
+    0x3a8c1e27, 0x95cd2953, 0x3f0119c8, 0xecb76563, 0x657ddcc4, 0xc0aac22c, 0x39f1cf21, 0x285a0f67,
+    0xeb49e910, 0x67791860, 0xada95e72, 0xa0bd4fb2, 0xc3fd830c, 0x22474c0d, 0x5ced199f, 0xda1aaf85,
+    0xacc814c3, 0x30003fe2, 0x1d689d0d, 0xa7d0d8f7, 0xf1d30c9d, 0x7f8e2f7d, 0xd7a636cf, 0x1f8390ff,
+    0x478e8188, 0x8ff9d16a, 0x6118fd51, 0x51cafd27, 0x1512fbab, 0x7d29830c, 0xb33ed529, 0xcd3f9039,
+    0xf9508ee4, 0x5cc8d392, 0x642dc101, 0xe1e423cc, 0x908fa38a, 0x17db870d, 0xaed38909, 0xb7ea5388,
+    0x4e88e808, 0xd56780b5, 0xce7587e5, 0x96f6849d, 0x2b23bf3d, 0x03fdcc54, 0x5e0fb39b, 0x1b34f68b,
+    0xba30719d, 0xeaf387a5, 0xef33b744, 0x65744fcb, 0x8374589b, 0xe648a7ec, 0x74af3d07, 0xd5d2da23,
+    0x38d68cc0, 0x58f1e7ac, 0x1fef5f2e, 0x68338a74, 0x2f560191, 0x0e74e130, 0xfb20746e, 0x7a4f4f44,
+    0x59f38071, 0x739bba38, 0xcf36db43, 0x4cd7a32f, 0x24eab2c7, 0x4f12fe5a, 0x041bb750, 0xcb10cc9a,
+    0x146f60bb, 0x6480c4b9, 0xf6697b02, 0xe9ef6eab, 0xde6fe4b2, 0x10d8f01b, 0x6b2637cb, 0xc97319ac,
+    0x27a74bb8, 0x7f557a52, 0x61b61948, 0xecd51946, 0x779cd57e, 0xf39cc88b, 0xe975379a, 0xb9a87d2b,
+    0x12ec4d26, 0x15a0323f, 0x29762a38, 0x3ae28337, 0xbd285c51, 0x238ac52d, 0x40ac5569, 0x49ebcea4,
+    0xc45da788, 0x30ae6edc, 0x81009c15, 0xd692597b, 0x077c177d, 0xaddbf603, 0x73944eb5, 0xc50db1ea,
+    0x0f6ad52e, 0x891bd19e, 0xebe669e6, 0x6cbaa785, 0xa0a55a02, 0x4beaeccd, 0xdb935035, 0x2de8b047,
+    0xcd18b51f, 0xba7784b9, 0x094cc58a, 0xd0264dec, 0xc42d486a, 0x3e55be5e, 0x555f51e4, 0x6a9d0622,
+    0xa6cf4eb8, 0x270fea09, 0x18770312, 0x3afc4148, 0x490a7ddd, 0xe42ad9d7, 0xbeaac1f0, 0x35f6276b,
+    0x04c30cd4, 0x88c427ad, 0xf471694f, 0xc6cec097, 0x7c2339d0, 0x52eb9cf0, 0xbf5ab331, 0x82926105,
+    0x07ee3781, 0x0bed5bd8, 0x8569e9a1, 0xe4c451f3, 0x569dca4d, 0xf4d95dd3, 0x896c187a, 0x32c9798a,
+    0x7434b569, 0x0eb75f73, 0x36efbe9b, 0x9342783c, 0x05b30b3e, 0xe2562392, 0x55554921, 0x8d1fcc51,
+    0x582ed9bc, 0xd96e00f1, 0x4dea46c4, 0xca4ca96e, 0xe256d636, 0x20d234a4, 0xad15b45d, 0x172615d9,
+    0x7e02a4df, 0x4c291c95, 0xfb1b4ff9, 0x47a034ca, 0x657c65d4, 0x473f61c6, 0x7cb8fa07, 0x3f9b2e0c,
+    0x53c87664, 0x161a6c7e, 0x4d37d8aa, 0x379a94fb, 0xc040c139, 0x8855fe3b, 0x86ddf2ba, 0xf550960d,
+    0x7ecb1ebb, 0x8f20e0a2, 0xda177713, 0x1ea4a98a, 0x54a472f9, 0xeacab17c, 0x17ef3cc2, 0x9ef5c746,
+    0x9d79232f, 0x62766686, 0x38242115, 0x34d7ab2b, 0x7a529098, 0xc0d6455c, 0x763649b5, 0x6e2c617d,
+    0x32f868e6, 0xa046b36e, 0x5571aeeb, 0x255aa3f7, 0x83b19e07, 0x6da63352, 0xdea74df5, 0x99187d7a,
+    0x23c1e15d, 0x1abb2b43, 0xd8497e76, 0x3d423e03, 0x6ad1ab3a, 0x3992ac3b, 0x126c9639, 0x3e644436,
+    0x42f567ed, 0x71fce048, 0x7caec388, 0xc7d6f6f8, 0x057dc495, 0x52bceb6b, 0xca12bc40, 0xc1eff4d3,
+    0xac12220e, 0xc01df713, 0x3e10466b, 0xa9064cf3, 0x830c2137, 0xd1d52c5d, 0x6a900423, 0xfab3bd37,
+    0x22a5195e, 0x0a3b4ef4, 0xa7f48d66, 0xcda26216, 0x56e9c621, 0xb8534236, 0x46c7a015, 0xc10e8ec9,
+    0xaa27314d, 0xdcc7a362, 0xeb8a58c3, 0xffe2295d, 0x8405073c, 0x73268da3, 0x9326b185, 0x9b330c85,
+    0x6ccf2641, 0x8c46fe06, 0xf5e19252, 0xbb2d7703, 0x711babbc, 0x5a48424d, 0x21ae6102, 0x3f0200cc,
+    0xd8adab42, 0x905b46be, 0xd68c0af5, 0xa337fcba, 0x9defd039, 0x6ebaa37d, 0x9fd43c34, 0xe32450f3,
+    0xe5c74cdd, 0x984d1feb, 0x4a811a97, 0x2cba6e40, 0xccb99fc4, 0x8483d47d, 0x39c9ad09, 0x76b61813,
+    0x8d1af6af, 0x972b5b2d, 0x2692b6b6, 0x71734aa1, 0x9f610046, 0xe64731e6, 0x3d6dbdd2, 0x644226a3,
+    0xba1a4d38, 0x3c7d3e90, 0x26032ad8, 0x5336369a, 0x04403eb9, 0xca0d2f5b, 0x11743b2d, 0xbdb0d652,
+    0xcc65ea18, 0xf65b378a, 0xf7acd4c2, 0xe7727a85, 0x9cafd560, 0xfca234c0, 0x8328432f, 0xd6ecd94e,
+    0x87fdf9c6, 0x08cc1e98, 0x26168a0f, 0x40a50af2, 0x9049c6c8, 0xf278d0df, 0x1866e7a7, 0x757efec2,
+    0x8298eb8b, 0x63963f2c, 0xa9e43918, 0xf74cb22b, 0x9361f9f9, 0x329a683a, 0x5d5b2a85, 0x0ab3b49c,
+    0xd64e3482, 0x68fac3d2, 0xf05933e2, 0xc2d94096, 0x1d499d6d, 0x2e9fe95d, 0x484db810, 0x965abd28,
+    0xa73821e7, 0x8e51ea85, 0xebe305ee, 0x5ee36565, 0x4db9d26a, 0x2e3702fe, 0x7dabf83b, 0xee772eb9,
+    0xbb512169, 0x2aa12efe, 0xfb1e93f1, 0xee903ec9, 0x8453b7b1, 0x378b033f, 0xc6411781, 0xaab9a9db,
+    0x17d6856d, 0x2ae848c0, 0xa6525e95, 0x542972ec, 0x67037d1f, 0x1ee98b63, 0xa2dfa5f1, 0x107dc0eb,
+    0x3f67e281, 0xbb2a48c5, 0xac6463c8, 0x7fca678f, 0x7b89b4ae, 0x058b2a0c, 0xee27a755, 0x7ee02c19,
+    0xe1b5fbe7, 0xb1c8e717, 0x6b477b09, 0xe02d80d2, 0x774540b2, 0xb40ca359, 0x5a41efec, 0x6809f078,
+    0xdd90fa9c, 0xf24cbe7c, 0xa1a7012a, 0xee262a15, 0x4f8487d5, 0xc98ad3b8, 0x14470997, 0x5e85dd83,
+    0xb157ecfa, 0xaff39ba1, 0xaa9675fa, 0x46845f34, 0xa1f71f57, 0x7abcb760, 0x9cca363d, 0x4707f09b,
+    0xa6fdd6bc, 0x89ff1d1b, 0xb4380229, 0x3e26ca01, 0x85c80d78, 0x82773f70, 0x79ad78fd, 0x67d47f5b,
+    0x33594489, 0x92879f20, 0x47e0c742, 0xdb3ee044, 0xea3b1a7f, 0xa8d87f79, 0x9234348b, 0x64ee97ad,
+    0xb3cc1818, 0x4264d311, 0xae4c259e, 0xfc48c4ab, 0x4db6f6db, 0x43a559d0, 0xc81a40a9, 0xdaf02cd5,
+    0xc2dd1e8c, 0xed459842, 0x9980c5e3, 0xb968885b, 0x0cda5a9c, 0xf8faf648, 0x89d172c2, 0x5b95cc66,
+    0xee89b0fd, 0x35962da0, 0x6cc2581a, 0x7cdb5459, 0x4169a1ac, 0x4eed3440, 0x333ed357, 0xd5c049de,
+    0xe99ccc87, 0x6fcb76e8, 0x899aecd3, 0x0b427228, 0x79551a59, 0x85cead0c, 0xb8105738, 0x1b500929,
+    0xb9cc329d, 0xf8761aef, 0x1df3e255, 0xaa6f4a46, 0x29f9bdf9, 0x6ba0f22e, 0xe35e9aef, 0x89dce955,
+    0x46d43f8a, 0xda92227b, 0x3ed32f9b, 0xa1e3c523, 0xe6b991a7, 0x0ce36436, 0x93f28690, 0x082e2468,
+    0x56547b86, 0xe2012241, 0xb7ab732d, 0x3a526e77, 0x26820794, 0x5bcc740c, 0xa8cb3a0d, 0x34f336ed,
+    0xa2c6b306, 0x5fd35fa1, 0x67e01a7c, 0x15063bdb, 0x1a90a011, 0xf09bf301, 0x1cb1e400, 0xfd0f4f1d,
+    0xdf21a64b, 0x7c598533, 0x2ab47ab1, 0x4c337571, 0x6b4d1a76, 0x5091efab, 0x12443452, 0x009e4785,
+    0x8e1a8280, 0xdefd3c91, 0x4b90b986, 0xb9399a62, 0x7d5f6a11, 0x5071c7ac, 0x5f2f82b0, 0xf6ec67ad,
+    0x75fccf49, 0x320983bf, 0x87b62ef7, 0x7df192aa, 0x0bbf8527, 0x95c1fcac, 0x87f9e460, 0x39ae1cc2,
+    0x16827737, 0xc83c817d, 0x11c3d2cd, 0x28f1655f, 0xa535e718, 0xa3dfe291, 0xa7cd0bd7, 0x73bd790e,
+    0x8ca161b4, 0xe92fdac7, 0xe32ec317, 0xfabcab48, 0x3e3d8a41, 0x4e213c3a, 0xc433cb8b, 0xc8e31ce3,
+    0x31e026d9, 0x736f0808, 0x030a6c61, 0x0c599fc7, 0xe8432f69, 0x86cde32c, 0xc35665cf, 0xb356a06c,
+    0x508437db, 0x61602594, 0xd77adbe3, 0xfb65cf2b, 0x18da1ace, 0xc4b7bb95, 0xda449423, 0xe6e4791f,
+    0x860eda84, 0x2694a150, 0x99fc050c, 0xc2e3e243, 0x6c74cfc7, 0xf4dcabac, 0xd32c1726, 0x51022e3e,
+    0xac766a74, 0x97e8bada, 0xa663bc55, 0xf4e20d55, 0xa5ef4e02, 0x484c25b2, 0xfe41aab0, 0x1cd323f7,
+    0x963228cc, 0xd4449aad, 0x1f46724e, 0x65d9e3fe, 0xb1a569b7, 0xcaed618f, 0x159ba084, 0x877d4830,
+    0xce669210, 0x133a5040, 0x6e5b018d, 0x941a3829, 0x9f07fb61, 0x28ee1ca0, 0xc5f6568a, 0x220e381a,
+    0xea23f4c0, 0xce288558, 0xc0b08927, 0xa6dd804a, 0x613da3ff, 0xa4f8b2f8, 0x6f097f9d, 0x89da6983,
+    0xcfc691ec, 0xfde5bc22, 0x222cbc9e, 0x6afdfea2, 0x396a7482, 0x68a8c3bb, 0xe7341191, 0xff5b8871,
+    0x3aeffe05, 0x5e175430, 0x6c481a3b, 0x2f4d85b2, 0xd5327aa5, 0x2227c4fa, 0xc23822cc, 0xc02640db,
+    0x75dcb281, 0xccdab626, 0x356dd50d, 0x6c194278, 0x3ef7eeed, 0xea5d79c9, 0x7baf406d, 0x54bc8068,
+    0xc96c5bcc, 0xbf7fd3bf, 0xe97090fd, 0x35451332, 0xaa603b30, 0x406f5a67, 0x8557ca09, 0x60c2168d,
+    0xc95d0fd5, 0x6891a0cd, 0x6c895613, 0x6b18a091, 0xaa01fcdb, 0xa607650b, 0xb428f002, 0x22183278,
+    0x972f7377, 0xdda86430, 0x24c7f403, 0xba638c0d, 0x1fe789f0, 0xde4df065, 0xcdab369b, 0xa7538f71,
+    0x56eb7613, 0xd4d1f09d, 0x5e4ff140, 0x5313245e, 0x00ca6d54, 0x410f3622, 0x2cdc34c7, 0x8df9f4af,
+    0x18710a66, 0x1eed9647, 0x248691d9, 0x25850c68, 0x950385f0, 0xae801c76, 0x7b24cbbe, 0x1996b866,
+    0x4112dc83, 0xa363e599, 0xccc63244, 0x9558b622, 0xb72ed830, 0x406f3f9e, 0x22ff639a, 0x02a800ab,
+    0x0efccc1b, 0xbe679041, 0x5e263d41, 0x318bb318, 0x371094ba, 0xff1c401f, 0x20e84361, 0x4dc27468,
+    0xe65c05ce, 0x28b1739c, 0x5017aaef, 0x62d40ce3, 0x3bf73a48, 0xd819391e, 0xdf9e86ff, 0x45c73a38,
+    0xc19a4b9d, 0xd9d872b1, 0x388e171f, 0xd442dd5a, 0xaa6a7cbc, 0x2de98c73, 0x20aaae21, 0x8447b3aa,
+    0x5daf6b75, 0x778e31b7, 0xfdb3a7e9, 0x635dc26e, 0x50618505, 0x590bf6ca, 0xddd42e91, 0x257908d3,
+    0x35b8a1a4, 0x5ebfa658, 0x2956fac6, 0x08530edb, 0x77b280a7, 0x11a1ba1e, 0x4fc2a017, 0x33c51df5,
+    0x7d08eaa3, 0xf84eb241, 0xc7296827, 0x82ddabef, 0xcd0fc299, 0xdd8ecd6d, 0xf75e00d4, 0x18883ae2,
+    0xf5308736, 0x9a7fb139, 0xb1cd2135, 0x411ff475, 0x04f9c15f, 0xf87377b8, 0x70397206, 0xc203b1b0,
+    0x18b0fabd, 0x28ef60f4, 0xeeb64707, 0xcf5322f6, 0xcfcc341c, 0x541dd7ba, 0xab0bad72, 0x6864897d,
+    0xe8d27ff0, 0x1937a1e6, 0xaeb34ce6, 0xb6e2294c, 0x9ebd46c4, 0x6d4b55b4, 0x33c2e76c, 0xa4c0531d,
+    0x4ab6565c, 0xc7f35591, 0xaf1f6d44, 0x878c1908, 0x0301fcd2, 0x1bb45a2a, 0x28d30e32, 0xe332898f,
+    0x77daf6c3, 0x7220ef79, 0xeecfd0ea, 0xe6f2c3bf, 0x528bd1b5, 0xb29ec488, 0x1330c338, 0xbf69f55b,
+    0xfd6e7ab7, 0x2da99afb, 0x116d2e23, 0x9895b05c, 0x9e4a0175, 0xcfd67836, 0xcca3b53c, 0x3b13888f,
+    0x061f6f5f, 0x89cdd249, 0xd48d6b6b, 0x99818964, 0xd8c2ec13, 0x3836d3a0, 0x90b81b0f, 0xb9b1d570,
+    0x01652234, 0xc48f236b, 0x9b3c91f5, 0xf01b1714, 0xb61e3f45, 0x925b992c, 0xceae2300, 0x242f906a,
+    0xd5a90d80, 0xf5a8cf81, 0xa67fcb7b, 0x98a81166, 0x5c793174, 0xf7ec8121, 0x9b024287, 0x3a8375c9,
+    0x72b8d4b9, 0xd2493ba7, 0x776cac5b, 0x52b4a594, 0xd1911393, 0x9e4901fc, 0xecb5a8e4, 0x9976affa,
+    0x1091ed17, 0xa7faac50, 0x96bafa0b, 0x5f7589dd, 0x7c06672d, 0xb87b00d3, 0x9e888eeb, 0xdbf9876f,
+    0x11c46d17, 0x52e04124, 0x8fc17736, 0x03d3c94e, 0x3633895c, 0x716041d1, 0x5585f0cc, 0x9207fdf5,
+    0x2a7b03f3, 0x1a5ec819, 0xfc996d85, 0x1fb1175d, 0x69941e6b, 0xec1a07b4, 0x7ff98e14, 0x23eb3e2a,
+    0xf0740b1b, 0x3c10643b, 0x1c28c2bc, 0xc382dcd9, 0xf3938d5b, 0xd7c53fd4, 0x3ed5733f, 0xf9b8000f,
+    0x00000000,
+    0xfdbfd36a, 0xe2bf924a, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000324518553658426726783156020576256 */
+  { 0x00000000,
+    0xf45a4b77, 0x088fb6ae, 0x10bf2c1a, 0xa98ba6de, 0x8878e779, 0x6de7ff72, 0x26f04e2c, 0x7b0b1765,
+    0xcfd1896a, 0xbefede88, 0xf77f4102, 0x58a74291, 0x421a20e1, 0xc06200f1, 0x79949306, 0xbdc37249,
+    0x06546168, 0x3e4180fb, 0x735b6afb, 0x7a39b6e3, 0xc87d7241, 0x352403a5, 0xf452fb4d, 0xefd124b0,
+    0xa3af85ff, 0xf7416c4f, 0x345e63c9, 0x7bc2f84b, 0xf2f55134, 0x9ec5015c, 0x3ca7e9f5, 0xf0bcae41,
+    0x2c94d44a, 0xf744a44f, 0xe68b2da8, 0xd315d49c, 0x6aabf5ac, 0x1ba29d93, 0x45388929, 0x51c56b8f,
+    0x3c0b9152, 0x60d024f5, 0x283d56b8, 0x2b0e8ea6, 0x4748484c, 0xcb42cbc3, 0xd332609f, 0xeb62750e,
+    0xbfbe1276, 0xf8590947, 0x6041519d, 0x7951a0ef, 0x0491bd94, 0x4928327e, 0x71536a23, 0xf8ff0f30,
+    0x38252887, 0x6cd23b7a, 0x2aec7c59, 0x702f5894, 0x820d3ba8, 0x5141ec97, 0x613008a4, 0x5eeb5550,
+    0xa18b98f4, 0x9095a0ff, 0x0ed7cee8, 0xa3014c8e, 0x28af6788, 0x70646139, 0x545d13aa, 0xab56f4aa,
+    0x6654c562, 0xd2ae23c4, 0xff56edd4, 0xa1a4f29e, 0x4fd07b3a, 0xb9c351a0, 0x48fd7245, 0x4afaa41c,
+    0xabbe6aac, 0x290e9205, 0x7c4a5845, 0x64947de5, 0xd18d9086, 0xbd619d9f, 0x9ae8d395, 0xa744d489,
+    0x8df1dacb, 0x08707436, 0x8eb79bf2, 0x18099c80, 0xe3d9bac0, 0xbf1fcd9c, 0x43232239, 0x099dc195,
+    0x504ffd3d, 0x73b3a5ca, 0xb5025725, 0xa2b1637c, 0xdc7bbe8f, 0xa25b8905, 0xeb7fa6ed, 0x05baa228,
+    0x7b63b7fc, 0x8217a458, 0xecc52121, 0xd86730ca, 0x62c6cd52, 0x56b21765, 0x4b4c9804, 0x7022c98d,
+    0x73a1bbb1, 0x9de89b03, 0x49026f28, 0x30ad09f7, 0x6431dc03, 0x14b777e1, 0x9d001f0c, 0x2640d7f4,
+    0xfc5a32e6, 0x6a9dca85, 0x8bb796b0, 0xba3530d3, 0x24051558, 0xf5c9438d, 0x663f525a, 0xe3999ee7,
+    0x3f287955, 0xdb8043b3, 0xf796863c, 0x090ee14e, 0x19e1241a, 0xc782d280, 0xe077e79a, 0x7a74ddcf,
+    0xa8d30672, 0x144701ab, 0x4d3a59ee, 0xb049dca5, 0x0466b587, 0x304f47af, 0xd3925fcc, 0x38009506,
+    0xbbb623cf, 0x08f694ca, 0x5b47734f, 0x0ddba658, 0xb726fce6, 0x8ec6b46c, 0xf5a6c08f, 0xb19e7f98,
+    0x640f3884, 0xbb75f573, 0xe811b889, 0xc83754ce, 0x452dee29, 0xad9eabe4, 0xcc7117b5, 0x6306aaab,
+    0x45b0460b, 0xf5b1fde9, 0x2b06fee0, 0x0b518cad, 0x587c1d07, 0x968ac412, 0xedbeb38f, 0x6b30bea2,
+    0xedb94a0a, 0xa5620ea2, 0xa7f89af8, 0x1b4b9ec7, 0xb4785fd6, 0xc368d588, 0x8e98b9fa, 0x55bf170e,
+    0xb1d4458d, 0x1cbe7cc0, 0xf7e1d666, 0x9ee265a1, 0xf258b42a, 0x1b8e9a3d, 0xa07dfaf7, 0xc4500b15,
+    0xe0501212, 0xedef5609, 0xc1f69566, 0xc0048835, 0xdd12c414, 0x5f3470d2, 0xf6b27639, 0x5ae8d729,
+    0xc46c15a5, 0xffd0c1ba, 0x946bee09, 0x62c6a42f, 0x1dc3fe30, 0x630a8c15, 0x15072c40, 0x23419362,
+    0x6e1d7078, 0xa8d917af, 0x19f3c490, 0x10b57891, 0xdd725972, 0x394dd854, 0x97c5de63, 0x1a92348f,
+    0x43319e1d, 0x8940e0c5, 0x6d2aa24d, 0x12c70359, 0x1f957c14, 0x01924f09, 0xf37eb9e9, 0x00a501de,
+    0x105ab911, 0xed3bf94f, 0xdd9fb679, 0xf07b2497, 0x246761a9, 0x813107e6, 0x45e233c4, 0x74e7b2f4,
+    0xd7159f81, 0xf397bd96, 0x2063af11, 0xa0bc1982, 0x97f13f00, 0xf414d5fb, 0xb9cb98e3, 0x9a3c0a3b,
+    0xfcfb9901, 0x0545c4f4, 0x54c4f148, 0xe17a3d52, 0x1b558eb8, 0x7f1177f7, 0x309fba69, 0x225cc269,
+    0x55139636, 0x2a71d3bb, 0xbb148e0a, 0x3256082e, 0xd3a9f3a0, 0x2737703e, 0xf1977f89, 0x67b02d11,
+    0x0e102972, 0x65033a87, 0x2af5e4db, 0x4eaf71a0, 0xe85f8d13, 0x9682f58b, 0x15ec2cc3, 0x1f094974,
+    0x88fd6557, 0x83507829, 0xebbf520e, 0x6ca18c59, 0x30e6d27e, 0x966e0f94, 0x6e44a801, 0x841ee338,
+    0xfd98ec1b, 0x489bfc62, 0x02c0782f, 0xe11ed9c8, 0x3cbae987, 0x0028b359, 0x9fa26ae0, 0xcf6c4ff2,
+    0x40a2d0d6, 0x877b7dfd, 0xe6366a78, 0x9a5129d3, 0xdb970532, 0xd5c1ec77, 0x73d3b27a, 0x98e06664,
+    0x96190b95, 0xd5e30d53, 0x10900a54, 0xb192703b, 0xbd1b66be, 0x4789ad35, 0x2486f876, 0xe70bb99c,
+    0x0aa48428, 0x283bd5cd, 0x6112fb4d, 0x489e8425, 0x2e6c33bb, 0x2639a603, 0x44625ff8, 0xacf12204,
+    0x376ba324, 0xac4eed67, 0x1aa2acd6, 0xab7003e5, 0x518bb730, 0xc5e91eb1, 0x1b7e4526, 0x65005185,
+    0x2515eafd, 0xa6fe3537, 0xbccfbbda, 0x262b2a71, 0x0fe98d38, 0x31bd6773, 0xd9b3f262, 0xaac1fadd,
+    0x8a440dcd, 0xc6cd1da9, 0x86165c9e, 0x0d4af2e1, 0x8835f97b, 0x145def9e, 0xf1c5bab7, 0x1500c692,
+    0x930e4800, 0x026d726f, 0x0ceb25db, 0x4d3746b9, 0x928f49de, 0xa8f2848a, 0x2831f51d, 0x9d3295c1,
+    0xc4296fc9, 0x12f0fcba, 0x58c2f28b, 0x2198ab8a, 0xd01e657b, 0xe4c846c2, 0x869b8058, 0xd91fe2c2,
+    0x6a911e0c, 0x03464ae3, 0xc07fc613, 0xc3b24165, 0x35019ddc, 0x7a229c4d, 0xedfdf185, 0x4cc2871f,
+    0x09a09265, 0x2078d660, 0x8e442209, 0x1690d422, 0x5cfab883, 0x60bdff41, 0xe32fdd8a, 0x7b63e709,
+    0x612aa1df, 0x9e8800d2, 0xf31438e9, 0xdea6f6b4, 0x47608ab4, 0xfae61692, 0x58dd1838, 0xa447e30d,
+    0xa15d7083, 0xdf966394, 0xc70d4d4e, 0x635bafe2, 0x621bdc77, 0x98dc13d5, 0xf8cb76ae, 0x0e9d602c,
+    0x8d4a1cac, 0x864a1937, 0xa0ae2f4d, 0x8221769c, 0x157f9661, 0x72c8db4a, 0x670f7987, 0x44a203d0,
+    0x320950be, 0xf46892fb, 0x12e2df67, 0x40ae379c, 0xc2056dd8, 0x6a9dbbdc, 0xcb9c73fb, 0x2a382354,
+    0x11678422, 0xd8d85e1b, 0x8f708464, 0xaf298fde, 0x6843c46e, 0x65b5d232, 0x7b5bacd1, 0x197c1482,
+    0x9f4d62aa, 0x865863ae, 0xacfa61ae, 0x04d97e93, 0x26242c6d, 0x6222837a, 0x0c85624e, 0x3c5b6799,
+    0xf2936f50, 0xf8dc3c63, 0xcab103f6, 0x869e9332, 0x034b3e49, 0x1011ec71, 0x73b61ddb, 0x0882c2e7,
+    0x3239e41d, 0xddc8bce6, 0x3f52ed31, 0x2eebbd38, 0x346507b6, 0x256a289e, 0xa665c422, 0x67d8c148,
+    0xf761cada, 0xeef1e7f3, 0x4159bed1, 0x3bb9811d, 0x2dc1886f, 0x913ef9f4, 0x911e7003, 0x512f6fa0,
+    0x1f55ac19, 0xe00b6c97, 0x3757d926, 0x769856bd, 0x66050a7b, 0xb6ae6bad, 0x26a6e0a1, 0x8fc57bf0,
+    0x5116b3e4, 0x91d42dcd, 0x06bd1988, 0x966efd72, 0x314927b6, 0xff405fab, 0x6dc75b3d, 0xb458d649,
+    0xe8342747, 0xb2167c67, 0x9457d264, 0x5ec61f01, 0x730e5f4b, 0x705ce6bd, 0x6b0a3537, 0x7c31c3d7,
+    0x4f1a26f9, 0x6370913c, 0xd9e4132e, 0x469c47e2, 0xf4550142, 0x97d42ee1, 0xa916e204, 0x34c4dd5b,
+    0x2c28c16f, 0xa42e41dc, 0xda6eecfe, 0x03744a45, 0x05f33431, 0x485822b5, 0x0c3e2f4c, 0x118e9e46,
+    0x85fdb182, 0x797c0ded, 0x5b2c3532, 0xbfbe7382, 0x5499a056, 0xaf55981c, 0x5caa088b, 0xf897d410,
+    0x4cdcd6ec, 0x12e0c310, 0xf6062340, 0x4d6089f0, 0x3e0f83db, 0x7c5b4f56, 0xbea9d327, 0xefa90449,
+    0x6335f210, 0x25d1a87e, 0x445ae2b3, 0xefed5b3f, 0x3c206cb8, 0x62ee4e17, 0xfdcffa73, 0xb2a43f1c,
+    0x175c9251, 0x3bd13202, 0x8ff74fbc, 0xca90d2bf, 0xb61f76fe, 0x1a98971a, 0x8370ac1f, 0x5813a850,
+    0xfbca7542, 0x2f383734, 0xa1fb2717, 0x47208a09, 0xf72b834e, 0x011f1875, 0x94e433c8, 0x21a65dc5,
+    0x90e66129, 0xba3821ba, 0xf1cb367f, 0xb15555e3, 0x9bc4247b, 0x2db5ed1a, 0x2ed63da1, 0x109dea3f,
+    0xeb879ebd, 0x3d71089d, 0x36227683, 0xbe988403, 0xe1ffdd19, 0x3927e694, 0x44ab9138, 0x58bc6f2c,
+    0xa3fc8028, 0xc5e4fc35, 0x4ddcca29, 0xaea79ce0, 0xb0a20e64, 0xdf2555b9, 0x64d1c339, 0xec0825d6,
+    0x097af89c, 0xb32b7690, 0x94d79908, 0x48e644cc, 0x6a38f338, 0xad85f559, 0xbd713420, 0x3631ddd3,
+    0x54785605, 0x70c94db5, 0x2fd7fb0e, 0xa6012644, 0x34ba1010, 0x34a3480c, 0xc1c33836, 0x29e73f74,
+    0xa5775aa6, 0x300e57b8, 0x10a08d71, 0xa39a1cce, 0x6368176c, 0x539dce78, 0xa67b28ae, 0x9913cb09,
+    0x2c45fe71, 0x45b4b7ef, 0x336851e6, 0x9ecc3704, 0x0d2f8ea1, 0x2f951bca, 0xec7fb151, 0x0243838b,
+    0x224be958, 0x68a75d38, 0x28eefd7d, 0x77aa1478, 0xaca501f9, 0x1ff75066, 0x5cedf008, 0x6647cf74,
+    0x1a47ab34, 0x1f390b90, 0x8e390a5e, 0x9180a436, 0x536ae4f2, 0x966ea45d, 0xa87137c1, 0x4cac7933,
+    0x1ffa2ee3, 0x73ed8aa5, 0xc43f0b9d, 0x9a65b0b6, 0x421ed9d3, 0x28515f85, 0xc2ae04b3, 0xe47f1ebe,
+    0xbbea310b, 0xfa46cda2, 0xe605bf17, 0xfb0e1469, 0x82db0d37, 0x9f54e133, 0x8ef0531c, 0x6b8f92df,
+    0x032c233a, 0x47906ae0, 0x5661fe93, 0x74948993, 0x21ec85a1, 0x4b22860c, 0x176b66cc, 0x5a3c1a79,
+    0x1892c3bf, 0x3257bc2b, 0x1e0e722e, 0xe8d5fb98, 0x9dabf8ca, 0xf612c6f8, 0x6bb4e050, 0x65d55bec,
+    0x23d384ec, 0x23d126a7, 0x7cf3c35f, 0x917869ad, 0x7dab1566, 0x6e5f070b, 0x33d0777a, 0xe07a2642,
+    0x95f9ce01, 0x0f0010a2, 0xb1be53b3, 0x80b95d71, 0xde510a7e, 0x0bfdef50, 0xd1e8e0f3, 0xdf0d816f,
+    0xada0f339, 0xf921f5fa, 0xfd35e854, 0x3e256409, 0xdb681765, 0x84efaf0c, 0x11698e96, 0x246ee489,
+    0xe1647df8, 0x6c0a0b3f, 0xf5b6a11d, 0xbd5060ca, 0x962c169c, 0xb3d0fc64, 0x2ef01ff6, 0xf6b44d31,
+    0x78701038, 0x97de25ae, 0xe8212d16, 0xe4f014b5, 0x82e22e1e, 0x79aef8ea, 0x01c954e1, 0x2840493e,
+    0x2b49c2ad, 0x3f8c3fed, 0xbc166341, 0x180eebd5, 0x8595ad36, 0x1b9a44d3, 0x97fc696a, 0x334587cf,
+    0xeb47e290, 0x11d48678, 0x904b277a, 0x91f63a11, 0xc7be0606, 0x4706f878, 0xb616e300, 0xf528af89,
+    0x749ea9f9, 0x509e8b33, 0x29f2bdcb, 0xa85e0e53, 0x62d8a148, 0x47de7588, 0x7542e5e4, 0x62c0b2de,
+    0xabeccb42, 0x408713dc, 0xac364bbc, 0xeac5b8a2, 0xe525c8f7, 0x4bbbecfc, 0x5f53a1a5, 0xe7dddc2b,
+    0xdd8252f1, 0x579dfbe0, 0x37cafb82, 0x815f3896, 0xc37d6e11, 0x343a9c6c, 0xd00243bc, 0x71661fc5,
+    0xa1af515b, 0xc5b4c1a7, 0x961cea00, 0x18455bbe, 0x074f9ea4, 0xbb863b8c, 0x34b91bce, 0x5c339e62,
+    0x7ddd0538, 0x73775d4f, 0x88274148, 0x48dd9c9f, 0x57768a0e, 0x276db80a, 0x78a559f3, 0x4f144e93,
+    0xc29d847a, 0x352ccc09, 0xd1ead547, 0xc2ba92b8, 0x8d06031e, 0x10ba0f21, 0x5e319228, 0x3b20af12,
+    0x2d1d1840, 0xedc70258, 0xe4311d59, 0xebd8d1c4, 0x5401fbb9, 0x9be4a69c, 0x58ed48fd, 0x7c5ca481,
+    0x3b9396a0, 0x8b712106, 0x20f11e5b, 0xda1933e8, 0x50102e2d, 0x3d2fcfdd, 0xe6659ace, 0x86421f3a,
+    0x11b0441d, 0x085764d4, 0x964d453a, 0x504ecae6, 0x6105c56b, 0xaf0cb9b3, 0xc3056169, 0xf721cff3,
+    0xae1dc65b, 0x6c69a493, 0x42532a32, 0x58bc792f, 0xd997c0df, 0xb51a0bcc, 0x54b377ef, 0x624c2cf7,
+    0x8175bae6, 0x8cdff70f, 0xc9b3dd13, 0xd472273a, 0x3b46517d, 0xd395dd3b, 0xc455e2a7, 0x68c3c761,
+    0xeecb79db, 0x0521cea0, 0xd6e29660, 0xe80fb3cd, 0x70a49d49, 0x644fc472, 0xab0bb3b8, 0xed57de05,
+    0x4cfcfa1c, 0x1441da87, 0x72614ee2, 0x6317f9b2, 0x66cae46a, 0x3621068a, 0x9e5d1208, 0xf9d7225a,
+    0xf593633e, 0xfd6333dd, 0x773e3958, 0xab9dc5d4, 0x785c0113, 0xf3415516, 0x5a208ca4, 0xc0cb22a9,
+    0x1685392c, 0x8699bab9, 0xe195c165, 0x00f1471e, 0x4134fc63, 0xfc171bdd, 0x3578c01c, 0x71b9f9bc,
+    0xf7ddf337, 0x8e71f6b8, 0xde661b76, 0x772c96a9, 0x9af6d537, 0xef595750, 0x2b157bd9, 0xa7de9590,
+    0x46695795, 0xd37f169f, 0xa3b90ba3, 0x2e426477, 0x6e5f55ef, 0x275fbaab, 0x2d6a2613, 0x6a8cdb64,
+    0x1bbf11c0, 0x2db8be2d, 0x45eac955, 0xfea522e4, 0xc52c777f, 0x08c1712c, 0x04242d98, 0x36bf16d3,
+    0x30126fc4, 0x524c0b41, 0x6370ae31, 0x8538b1dc, 0x4e6f5a19, 0x9eb777ae, 0x2bab8d70, 0x6fb90706,
+    0xffe10176, 0x1b6ac3ab, 0x16fb8f9c, 0x9abdd687, 0x8399aa2e, 0x7a3cc62a, 0xba49645f, 0x66bdd76b,
+    0x1a9817a3, 0xb43554f3, 0x01226953, 0xb9c90e06, 0x04b8d9b3, 0xb559ba5e, 0x2be76822, 0xe28fcb79,
+    0xdd4d4898, 0x433a5860, 0xd181bf54, 0x4838e5d6, 0x44b0f1bb, 0xdbc55064, 0x8cd37f3e, 0x47388d07,
+    0x36dbac59, 0xcaaa8b59, 0x4cb17fdf, 0x86325066, 0x930a8b57, 0xdb2edcdd, 0x30f518b3, 0x626e533b,
+    0x5d977df7, 0xd4e09937, 0x1668b29b, 0xe1f3a9cb, 0x9234e4fb, 0x2aa6d352, 0x766d0c18, 0xc411dc8d,
+    0xc0293cc4, 0x06dd3ed5, 0x35f62da9, 0xd2737477, 0x9823342c, 0x3d69b194, 0xd4405fa8, 0x4abd2d9a,
+    0x9d9afa67, 0x45abf559, 0x4bcaf82d, 0x38651b31, 0xde137964, 0x81aa931f, 0x3109abb5, 0x32427957,
+    0xc2be9184, 0x6b7953fd, 0x7a8b4eeb, 0xa0cbd798, 0xaf05cdbd, 0x390e4eb9, 0xdabb9525, 0xbbf4da8d,
+    0x1a5871eb, 0xd7279e82, 0x04771f9f, 0x40cad63c, 0x16cccc16, 0x533ac6fa, 0x871dd427, 0xa5d7b9ca,
+    0x7897a120, 0x97280882, 0xe672ec52, 0xe4184d45, 0x3fe46527, 0xc4b10dbe, 0xbcf5a24b, 0x37d13255,
+    0x652bd0ac, 0xbf487abd, 0xd8d83af4, 0x5bebedd5, 0xd915face, 0xee735709, 0xee94b8cf, 0x47388043,
+    0xdb46fca6, 0x022ec3c1, 0xa488a796, 0x86b025e8, 0x2648211f, 0x50030a63, 0x62d63111, 0x6dd42416,
+    0x330e7ff7, 0x4421a4d8, 0x88cd7d9c, 0x200bfbaf, 0x7d44e634, 0x45291bb1, 0xdcfb5a73, 0x6ec4bbe7,
+    0x043a97fe, 0x3ffb5c86, 0xd838c07c, 0xf0c40da4, 0xa177abc4, 0x4a48f3c8, 0x18955e2c, 0x73f4e5a9,
+    0xd71239f9, 0xe0b59c95, 0x209b6f07, 0x427c06d0, 0xe93c7479, 0xf281b495, 0xdc0fb82d, 0x0f6f182c,
+    0x9c499ea6, 0xef5723f5, 0x2a6cb974, 0x5286dc05, 0xc797bfa6, 0x201ff9cf, 0x4b9d6b65, 0xa32aec84,
+    0x24741398, 0xfdccd44a, 0xdc159a2f, 0xbd2354b0, 0x81d69629, 0x158f4ec6, 0x949e4f34, 0xa719c67b,
+    0x0446f4a6, 0x4e80a13e, 0x3005a3dc, 0xb80fd537, 0xda744ec5, 0x7d6458d8, 0x428a6d5d, 0xd81bf808,
+    0x94cd684a, 0x55056ee8, 0xfe87ec4a, 0x7ee600f4, 0x8f26ba84, 0xcd6e6b1a, 0xfa11e143, 0x870e87cd,
+    0x88eeaa8c, 0xbf0ab341, 0x4dccafc8, 0x98c91ccc, 0x8941861a, 0xe0aa122f, 0x91b8a71b, 0x3d487377,
+    0x3f3461f3, 0x8960605a, 0x805f271e, 0xc7237334, 0x15c1ecf9, 0xd0e3c58b, 0xd153602a, 0xbaacb217,
+    0xc01869ec, 0x3a892b2c, 0x8e7f224a, 0xca23bb45, 0xf4fae567, 0x4e27d590, 0x9244e8c5, 0x5044637a,
+    0xc07cfbd7, 0x5bde14d6, 0x4190f0fd, 0x324eb26b, 0xde4495e3, 0xea6aa1f9, 0xd48b21a1, 0xc0c42552,
+    0xc7e5574f, 0x0cc87a95, 0xd571486b, 0xd95ae733, 0xb50d04b5, 0x6d1ffde9, 0xb60c76b9, 0xfcd701c4,
+    0x00000000,
+    0x7edfe9b4, 0x715fc925, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000162259276829213363391578010288128 */
+  { 0x00000000,
+    0xb5fd6c05, 0x34be5b09, 0x95a074b2, 0xe0d88689, 0xa20ac729, 0x779202f0, 0x90d78002, 0x111b8e41,
+    0x37bf891f, 0x771da1ef, 0x39ceed95, 0xb8081c52, 0x247ba71a, 0xe4e54ee3, 0x1f0bc4e8, 0x764a9b37,
+    0x18637b28, 0xf1dd8b68, 0x147e0c2c, 0x3df1a561, 0xc64e6abc, 0x3c907dd5, 0x13d259b2, 0x5fc77976,
+    0x2d9fc2e9, 0x217e3d40, 0xda30c6c5, 0xacbce059, 0xab27ec15, 0x8c84ced4, 0xa4e30ebf, 0xd117ef24,
+    0x762bef78, 0x2d8520b1, 0xbde43685, 0x4c020e9f, 0x78806999, 0x1050df39, 0x11404eb9, 0x4ce5903c,
+    0x94d917c3, 0x6177c5e2, 0x602b7192, 0x5fe00fd3, 0x04089834, 0x1c845cca, 0xa7c8e884, 0x5be83475,
+    0x239a23ba, 0xc7f2f7d8, 0x6b63b443, 0x2e261c16, 0x12985b82, 0x25e3ddea, 0x51799a7f, 0x08160ebb,
+    0x485dd1a3, 0xf2eb8fb1, 0x968d388e, 0xb53cd6f1, 0xf93af467, 0x24a167a3, 0xd328e315, 0x3c74f513,
+    0x00f77100, 0xd225a4f0, 0x899455d5, 0xb8cb478c, 0x22b86967, 0x5456a1de, 0x03b077b4, 0x74770a8e,
+    0xbf169aa3, 0xb788e67f, 0x414a3acb, 0x6a287ba8, 0x48987213, 0x63af0a76, 0x5d985ef1, 0x946955bf,
+    0xfd20bf62, 0x67d1483a, 0xb2df340d, 0x98d1cbf1, 0x8793c9c7, 0x04c9a410, 0x38ec795d, 0x42d60e96,
+    0x16d39777, 0xacc56d53, 0x8518bc13, 0x7cc36e03, 0xdf056d9c, 0x3480154f, 0x52fedd98, 0xa2bab5ff,
+    0xb65892f0, 0x227fa1ff, 0x50047dee, 0xa4c8f3a0, 0xf65c948d, 0xd056c3fa, 0x42190193, 0xf39895ed,
+    0x0cbf7986, 0x6cb909f4, 0x8ea62ab6, 0xa35a169f, 0x03c8a3c3, 0x0f139996, 0xdc1cc884, 0x21c4214e,
+    0xd6c60c5b, 0x333b8476, 0xea2b85ef, 0xdf1ce73e, 0x906cdf4d, 0x116fb282, 0x6aa28f19, 0x400c0f31,
+    0xb5c1a026, 0x8b31647e, 0x9d33982c, 0xcb6e9bb1, 0x6d03b459, 0x30486fa4, 0x7dddfb2d, 0x49270a22,
+    0x9a64fd89, 0x7537bf81, 0x0493842f, 0x42349e7e, 0x69b6b253, 0xa68f7736, 0xcc37ca85, 0xe394da84,
+    0x5f9c5531, 0x3eb3ca28, 0x82f01e84, 0x4e5b1a92, 0x57338965, 0x6f5b3067, 0xeefd7e0d, 0x6d74da23,
+    0x493200d5, 0x182db62a, 0xbf8bf7fc, 0xd7d04ff0, 0xc79fe792, 0x016fa0d1, 0x3ae6a3c7, 0x17a75277,
+    0xf2fce77c, 0x8e5752fc, 0xadaa402c, 0x53b2bd04, 0x78de9a30, 0xdb36f309, 0xcd618c44, 0xca759b91,
+    0x397857a4, 0x5e836c1f, 0xa9c12734, 0x471f106b, 0x15c8a388, 0x10e91fb3, 0x606a96b2, 0xf4c0631c,
+    0x39401562, 0x3e46f2d7, 0xc204d6ba, 0x12aef68b, 0x308f5c84, 0xcbff066d, 0x9a950ce6, 0x92fe2a7a,
+    0xd062bd35, 0x5ea45cf8, 0x1af4f02b, 0xd5323e8f, 0x874369bd, 0x09bb9787, 0xbafd766c, 0xbf3894d6,
+    0x50ed7b3a, 0xbfe01479, 0x3c21813d, 0xb9c0304f, 0xdcfaa15a, 0x8ab241ba, 0xf16b9b05, 0x41462387,
+    0x2efa0308, 0x1f99519b, 0xf4c41b61, 0x075d9026, 0x962dd76b, 0xc1902f6d, 0x988754bc, 0xfde03a39,
+    0x085a97f8, 0xa206f1c0, 0xc0535c5c, 0xd5ab1998, 0x57a202d5, 0x3ef6b419, 0x1f0e97df, 0x63da597e,
+    0x00a52673, 0x42e529bf, 0x125ec897, 0xb4a5267b, 0x5524792a, 0xa6caf3d7, 0xaa4c1423, 0xb370e30b,
+    0xabe90874, 0x615c7765, 0x7df0fe20, 0x17cc3a26, 0x3e97eea2, 0x67ec7129, 0x7be5a3e8, 0x324e6792,
+    0x0032bf3e, 0xd34486df, 0x664d485b, 0xd796cc57, 0x03bb72da, 0xdb1780de, 0xafd73fcf, 0xcd267dc3,
+    0xc120ab7e, 0xeea7149e, 0xed455dc3, 0xef6ae530, 0xea90dbc0, 0x3fdc9690, 0x95ece804, 0xfcd83851,
+    0x1f5ec93a, 0xa7034c90, 0x06ba8280, 0x008a9a6e, 0x814a911a, 0x13b5c12c, 0xbdbfeec7, 0x299df84d,
+    0x4c1511aa, 0xc15d5cb5, 0xeb73f649, 0x95175ba0, 0xab978307, 0x7ef5c6c9, 0xcd0faeae, 0x831f0855,
+    0xb87a8ef0, 0x705ec354, 0xbd983c44, 0x582e7d88, 0xd34f11c4, 0xe078c922, 0xac89b821, 0xd017ad00,
+    0x899eb388, 0xa630c203, 0x9888af61, 0xf179b3d1, 0x62ef54a8, 0x561e91fa, 0x822bfc97, 0xc2a573cb,
+    0x4a72c28e, 0x5525912a, 0x18324b24, 0x3e86d361, 0xe3b91661, 0xf5336ec6, 0xe924b1ec, 0x430cf8a5,
+    0x81365129, 0xc0dcf088, 0x81b91a2d, 0x8921d983, 0x189e0360, 0x9f3e861d, 0x7b625581, 0xcc660b00,
+    0x716befab, 0x1c013840, 0x1dc3340d, 0xeb6040ca, 0x9f18def6, 0x306d78f9, 0x770f641c, 0xe05ce52e,
+    0x4014cb69, 0x7ecd7a4b, 0x07c23efa, 0x3113c2d7, 0x2800dfd1, 0xe0d46855, 0xb8ca8647, 0x860771f2,
+    0x67f57adb, 0x22df5174, 0x2f8c3526, 0x45f12702, 0xaf560a42, 0x923086bf, 0x374c2f09, 0xf895046c,
+    0xcf61a00d, 0xeb1f85be, 0x5a6955c9, 0xef94110c, 0x0a912102, 0x991589de, 0x468a641f, 0xf8464752,
+    0xda3b2c5f, 0xb2d98942, 0x0061b2c3, 0x3ef46669, 0x6154ffbd, 0x3c7317c1, 0x881aa9aa, 0x04457b83,
+    0xeccf4281, 0xf7cb4224, 0x2fe05064, 0xfacde9a9, 0xc33b7130, 0x951d4840, 0xe89ee25d, 0x86bc099f,
+    0xb13ac578, 0x0256d548, 0x1279fdda, 0xb643fdd8, 0x78ced8cf, 0x655a31ef, 0xad3d704f, 0x91c2dd58,
+    0x987954a1, 0xcf3527ca, 0x8893279d, 0x15e494ce, 0x900c27b9, 0xfd8de1da, 0xe499e23e, 0xbc933538,
+    0x8b104ce6, 0x609a8597, 0x51700b0b, 0x590cdef8, 0xca3cfd91, 0x91bc4299, 0xbbaa63e4, 0xbbd33fef,
+    0xd0a4f1f2, 0x2dda9eb5, 0xd90a5c97, 0x5bb092b5, 0x73ef9ca7, 0xf640e0fb, 0x01e9f46d, 0x1ab4aa8d,
+    0xa03eb049, 0x85dc817e, 0x6a1fa93c, 0xad899350, 0x76a644e6, 0x341ab782, 0x956bd091, 0x63673fcc,
+    0x16ed48d3, 0x8728d865, 0x24143cc4, 0x539eb06b, 0x7ce698d0, 0xb0212436, 0xa066e654, 0xc077338f,
+    0x9deef322, 0x7f9e550b, 0x58491ce7, 0xcafbedd4, 0x7bbb3b10, 0xd978d8cc, 0x36fad432, 0x28cd68b0,
+    0x5ea364b2, 0xa2092a41, 0x59be02e2, 0x96630ecf, 0x5a790817, 0xe813b8f2, 0x1dcd2954, 0x66f63074,
+    0xf4b9d734, 0x41c87a67, 0x3b14276c, 0x88b2131e, 0x2c5c6ebc, 0x32b4229c, 0x7fc674fe, 0xec23f424,
+    0x20d2839f, 0xb74b3d27, 0xf5a79e10, 0x76a7bcc8, 0xfd1f1192, 0xdc2194f9, 0x607878f6, 0xc8f61b46,
+    0x43391d63, 0x0b067fae, 0x9bf3363c, 0x6d8ac6e8, 0x5c60c2b7, 0x201b13fd, 0x48d1575a, 0x5caeed00,
+    0xe46ed950, 0x3b051df1, 0x0b04baa7, 0x8a67c596, 0x55b2bf14, 0x9aac5695, 0x0b416ade, 0x830d42d3,
+    0xa6f5f242, 0x47cd90bd, 0x193597d1, 0x19e48a12, 0x25e4aa87, 0xe647de4b, 0x6c7d2fb6, 0x9a5d5bdf,
+    0x0640b135, 0x79309c8d, 0xee349efe, 0x050589d0, 0x3327ed80, 0xdd7a1ebb, 0xee9b891a, 0x74c20298,
+    0x1429ca0b, 0x9b8040db, 0x726a1bcc, 0x153d9618, 0x848dbdd6, 0x53fe4b18, 0x20fdf053, 0x8afce49d,
+    0x42785881, 0x68f32074, 0x75a9edae, 0x3f321c07, 0x0b6d66fe, 0xea590da8, 0x2234bb2c, 0x9ca9a7ff,
+    0xf15798f6, 0x1ec87eab, 0xfe110942, 0x5d631111, 0xefb328f9, 0xfe49f490, 0x7406a5b2, 0x8fe8b7a0,
+    0xfda64811, 0x4b82e809, 0x5c95f2db, 0x0cecaee3, 0x267ce1e4, 0x46239ef0, 0x13b7b79b, 0x3f6e8f82,
+    0x5838f3b9, 0x2bd33eaf, 0x1d889283, 0x97ca60ed, 0xd1aa2022, 0xba89ebe9, 0x09fd8bb1, 0xc7d11343,
+    0xef886e1f, 0x03ec7a43, 0xd8de2cd0, 0x80c48fd7, 0x5cf048a2, 0x372b1d5d, 0x415b4cf9, 0x115b78cc,
+    0xede5abde, 0x17d88139, 0x3daf6e67, 0x3ec63f21, 0x1de12f14, 0x710809f1, 0x4c26cdf4, 0xc13a3f46,
+    0x588715f0, 0x1b71586b, 0xda37dc1f, 0x4ba20229, 0x1c76019b, 0x0e2460e4, 0x5f922218, 0x479aca79,
+    0xd4a16fee, 0xb86b8f04, 0x0c7fe86a, 0x82b967e5, 0x996913d1, 0x65728886, 0x45735185, 0x7e65e9c3,
+    0x5c1d65a5, 0x127e6122, 0x3eb17a63, 0x1b06e40e, 0x03e0762b, 0x0f3c79bc, 0xd89e0bde, 0x932aa532,
+    0xc544ce64, 0xebe0fd25, 0x48f8aadd, 0x0ab1042c, 0xa069b2ca, 0x730ad662, 0x9a42d8d2, 0xae25a940,
+    0xeff6efd1, 0x5aad1168, 0x73757b0c, 0xe162c92e, 0x1f618e2d, 0xdc77232e, 0xff93fddf, 0x2515d24a,
+    0x605a4e24, 0xcae9497e, 0x975b610d, 0xd66b1e56, 0x22803824, 0x8cae9b3f, 0x9d644976, 0x41b806b5,
+    0x74285597, 0x6429852d, 0x7c0371b7, 0xb2bbedda, 0x5ef8e5b1, 0xf0921e8f, 0xb3f80387, 0x5980d85a,
+    0xe7c39b97, 0x46c22cdf, 0x56a09a11, 0x770f7d16, 0xfaaa1b19, 0x74d229eb, 0xc0115ae9, 0xf7bcc397,
+    0x830a3ab7, 0x9536fbfd, 0x612caddb, 0xd1f7c05d, 0x549777dc, 0x81d9883b, 0x9ef9ba6f, 0xc33741f9,
+    0x48470fc7, 0xb6ad426b, 0x77f31c15, 0x72b24a20, 0x8ad68380, 0x929e4843, 0xc1c72345, 0xede77498,
+    0x8df83019, 0xfa99ede8, 0x13205ca9, 0x810ce2c0, 0xfc0787d5, 0x52483fa1, 0xba13bb39, 0x49e54345,
+    0x852cb1b7, 0x4c0edbec, 0xbd83f977, 0x867dc950, 0x0206538e, 0x9fc1bf83, 0x02b36ba6, 0x44a4c82b,
+    0x448e782d, 0xfc3bc993, 0xa7afd73a, 0xde255189, 0x255dafeb, 0xdc954033, 0xbfaa1e1b, 0xd3f01a33,
+    0xcde296f7, 0x9c28164e, 0xc851dffa, 0xf3698958, 0x914973cc, 0x32bf5f81, 0xbd3a6d84, 0x10551517,
+    0xf238c3d6, 0xc9dc23f2, 0xb62e7e0c, 0x03ba07e4, 0x9c04781b, 0x591ada64, 0x08b90ba8, 0x30d7ef7b,
+    0xe2c5e4c7, 0xf9908bd0, 0x0d8e07a3, 0xf3223af9, 0xc846d897, 0xe1ba5b73, 0x88dfdc6b, 0xefd31571,
+    0x112033d5, 0xbbfa7292, 0xbea1ea0f, 0xb50d0860, 0xbd7368d0, 0xa15944e3, 0x5f173035, 0x1a859630,
+    0x5cc49da8, 0x1eeb93fa, 0x037e6aa9, 0xdae950cc, 0xd10887b3, 0x957bc37e, 0xd423d25f, 0x25218d2c,
+    0x25d6b5de, 0x4ab4ff52, 0xf9bf9b38, 0x3787ea88, 0xa8148296, 0x9d407ef3, 0x308390dc, 0x4b4bc23d,
+    0x8c8f3306, 0x39988034, 0x59d161a4, 0x19701147, 0x54ac0b2f, 0x8da038a1, 0x7bbdfdd3, 0xe155854f,
+    0x2532c4ec, 0x2b587612, 0x12302283, 0xf8f32bb0, 0x6723e0b4, 0x4ef08c49, 0x2f1ab101, 0x500f768e,
+    0x9c640900, 0x3932c8a3, 0xc4e8ffc4, 0x1911c4c2, 0x94118aac, 0xf0181b65, 0xbe57c65b, 0xe0c3b6d0,
+    0x7c90c22d, 0x0ba315f1, 0x87e29f3f, 0xb3b97e07, 0xde48f62e, 0x8d0cda4c, 0xe04c86ab, 0x99bad99c,
+    0xa716593b, 0x4ce5f1b5, 0x4c050110, 0xf91e2cc5, 0x0d1f6203, 0x074ebad4, 0x0b412d42, 0x98cc5ecc,
+    0x911a09b3, 0x436feb8e, 0xccb96cc2, 0x082f19c7, 0x2e3d694a, 0x5c8e5519, 0x399cebef, 0x9cd64d4f,
+    0x5cdc7fe0, 0x390e8681, 0xb3d1a9ff, 0x8eab52e6, 0x64a1ead7, 0x0f7df810, 0x2ce733a6, 0xb435c08c,
+    0xba3a5cc1, 0xa3eb952d, 0x5debe2c6, 0x1e0e30b1, 0x4b80d645, 0x69aed02a, 0xda62b376, 0x7bdbcd3f,
+    0x7b2e0981, 0x5b55147a, 0x8a14c4e3, 0x34418ce4, 0x16e32e03, 0xb26b66fe, 0x1fd910bc, 0xb09c8167,
+    0x54aa67a5, 0x57485ff5, 0xec132094, 0xd2fc81b7, 0xcc0c6868, 0x0701213f, 0x0f2491e1, 0x65472a3b,
+    0x3678ba58, 0x745eb221, 0x3b21222a, 0xdbc66fed, 0x4b54c9dd, 0x264c1514, 0x89ea4143, 0x1f38736c,
+    0xd335dcc4, 0x41b42ed0, 0x80252e51, 0x1a5588fd, 0x0dd3f596, 0xd5fa5a31, 0x59e9e036, 0x1893cb32,
+    0x8b9095ba, 0x4ad3dae9, 0x9ab72888, 0x027ddf68, 0xd12e5756, 0x3778b255, 0x005fadc3, 0x83a7e431,
+    0x1a33ef3f, 0x3a523e8f, 0x58975d00, 0x36c1542d, 0x955b56c7, 0xf791744d, 0x59077b9c, 0x21866333,
+    0x7fbb39d3, 0x022eeeff, 0xf44be861, 0xbaaade53, 0x0840a83f, 0xabe9a282, 0xd8c508e8, 0x1a3df95d,
+    0xa69ff17a, 0x384390fc, 0xc535a773, 0xd8ddafb7, 0xc9eaa136, 0x4d2fc445, 0x6e686bcf, 0xf5798041,
+    0x6105dd60, 0x95e58c2c, 0xbe52115e, 0x67ed10e6, 0x528b880b, 0xc3e56fb0, 0x759c3665, 0xb7830574,
+    0xbe34ecf9, 0xf9775f23, 0xff3ad857, 0xb2c2cc0e, 0xa546eb3d, 0xc20d2a56, 0x0e3db0a4, 0x7a5847e6,
+    0xcfceb950, 0x6033ed5f, 0x70e1e95f, 0x2338a86e, 0xfa4b5c91, 0x24df8599, 0x3d1fb3a8, 0x1c8685ef,
+    0x5346c639, 0xa4830ca3, 0x6ebffe3a, 0x7511d1f2, 0x70dd5416, 0x76c4469c, 0x82b08943, 0x2f545d04,
+    0xc8f71371, 0xf22da24d, 0xe3871809, 0x5672ee99, 0xe8939caf, 0x9ae16254, 0xbe64b340, 0x447c57c0,
+    0xbf37e15d, 0xbc55d750, 0x92e365f3, 0xb9800865, 0xc89ca13b, 0xa68517dc, 0x02163669, 0x8836caab,
+    0x28df30a5, 0x12b93fe4, 0x46f7efdb, 0x94ebc265, 0x0a0814a2, 0x82f6d8c4, 0xadbe3c4b, 0xdd76b7a2,
+    0x65bb5988, 0x85f2c442, 0xfe42495c, 0x12b54b66, 0x2eb9545c, 0x5c241726, 0x7a97005f, 0xde449feb,
+    0xbab40569, 0x3c669029, 0x8c21f22a, 0xf71b12e1, 0x97a79d3d, 0x2b1fa781, 0x17b06312, 0xbad5af31,
+    0xca53e305, 0x5856fa93, 0x32847567, 0xc49e8e40, 0xf97fcb5e, 0xf539d737, 0x97ab36c3, 0xe266b5f6,
+    0xe358ee38, 0x54a63579, 0x77e45d6b, 0xfbb49fc9, 0x8abae5d6, 0x37437923, 0xe0902dd0, 0xb630239b,
+    0xa4fb642d, 0x2b101f7b, 0x5f1be9c5, 0x1acc1489, 0x807f0cd6, 0x35499d38, 0x6afe6cf6, 0x0b6da539,
+    0xe7a67334, 0x92a0501a, 0xdb7b3b47, 0x44124ed2, 0x3929410a, 0xbcead9dd, 0x14ba4e2c, 0x425076c3,
+    0x57009511, 0x32fd0302, 0xcce556b4, 0xa1c0df70, 0xa19c32d2, 0xcfd921b9, 0xebf27443, 0xcfe5bd5c,
+    0x23832aa4, 0xcc1fc9b4, 0xd58d00c6, 0xa83ef374, 0x94de1e84, 0x6f711adf, 0x5f01b699, 0xd8f8054c,
+    0xc66f7a13, 0x01f1828d, 0xeff78b60, 0xad4fac08, 0x856d0976, 0x12ec6abd, 0x8f600dbc, 0x5b235940,
+    0xb3e16135, 0xd3f36e9f, 0xec417c73, 0x11e0b481, 0xd99fa39b, 0x8b70add0, 0x297e6837, 0xd59e7e4d,
+    0xec8733d2, 0x36760cc1, 0x2041598e, 0x41300659, 0xcf5986fb, 0x8a9ad391, 0x52766609, 0x3a90bcec,
+    0xfb971e99, 0xc5b9a417, 0xb4411518, 0xf43f9852, 0x1865c16a, 0x209b3b2a, 0xc40d8bdb, 0x308e9624,
+    0x2b889e03, 0x41d6a3f1, 0x926f63e0, 0xb2d8ccdc, 0x2665bf02, 0xf525dd91, 0x7b022981, 0x7bdcd52a,
+    0x0cce04a7, 0xc60b7bb3, 0xc2f84e32, 0x53dfa257, 0x51746703, 0xfb8dd843, 0x0e240510, 0x6115800b,
+    0x559b8ec6, 0x582c675a, 0x411594b2, 0xc6f4a991, 0xb3b5597f, 0xb516c9cd, 0x05b514c4, 0x6e2adea2,
+    0x7e0b4dde, 0x29ce5527, 0xd9ea73f4, 0x993f7f10, 0xe7f2095c, 0x062c1071, 0xb0b050a4, 0x5f9a01d3,
+    0xeef49563, 0x2ddd8a42, 0x197e8583, 0xbaca332a, 0x47a40f7f, 0x5119c53b, 0x91998a1d, 0xeb47c48d,
+    0x0fdc4195, 0x7da9d7b1, 0x501c2f59, 0x4c01a409, 0xed998775, 0x7fbfbe00, 0x786aa7ff, 0xe2f2ded7,
+    0x2daf772e, 0x765a4888, 0x57d60937, 0xd5a78f5d, 0x4096ebac, 0x4b2a40c0, 0x564df1cd, 0xdb6ab8da,
+    0xa83f69c6, 0x3197bfcd, 0xe57fbbe7, 0x81f98444, 0xe9d15415, 0xcc49b16f, 0x0a9c6af2, 0x3f2f08a7,
+    0xa862e347, 0xbe4ad76f, 0x9ab9b849, 0x1f55371e, 0xcd0d0bad, 0x968ea65b, 0xc39f0f72, 0xfe6a3f54,
+    0x00000000,
+    0xbf6ff4d9, 0xb8afe492, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000081129638414606681695789005144064 */
+  { 0x00000000,
+    0x037e72a0, 0xcc1874d2, 0x8e90e662, 0x68ee7a11, 0x82bc08f2, 0x9b6c5886, 0xfefc0806, 0x5177dadc,
+    0x7deaca57, 0xddbcc9bc, 0xfa96e523, 0x9b31ddef, 0x5e584dca, 0x1803fe51, 0x6e6543ae, 0x9b523588,
+    0x27d46a0e, 0xef901222, 0xec664a31, 0x2ddd3f0c, 0xe7d79359, 0x3c8fe79d, 0x445ed3dd, 0x34efda81,
+    0x8cb12fd4, 0x7c9854d3, 0x35127117, 0x920e54c3, 0x089f0ee4, 0xe4a0ca53, 0x35873f99, 0x9dbe0b0c,
+    0x456e1d9f, 0x36c653e0, 0x38c47f3e, 0xea6486a7, 0xc166fc9d, 0xed790210, 0x4871e61f, 0x4447d3b0,
+    0x4a5b25c8, 0x124845fd, 0x67c922ce, 0xa8a1b26d, 0x3d7f3604, 0x8df0bf08, 0x374980fb, 0x59df638e,
+    0xde47279b, 0x5bd452fa, 0x9549ed7e, 0x29f8e789, 0x613964ea, 0xb70f7ee7, 0x1ae552d2, 0x1da4637e,
+    0xa4813309, 0x9e85c34d, 0x80cc0842, 0xe7b14053, 0x3d07ff6b, 0xa979bd14, 0x8dfc9589, 0x14e59745,
+    0xabab79f0, 0x348144ab, 0xde2588f7, 0xf51e2a4c, 0x505b1258, 0x9c2dac77, 0x3927334f, 0xb812d865,
+    0x2f6b3972, 0x7c23abd0, 0x7526f8f7, 0xed88ba79, 0x744de7e9, 0x2fc03c79, 0x0b4c9ce3, 0xe706cd18,
+    0x627f051e, 0x0144e579, 0x59f65c35, 0x5dfcfc1e, 0xc082f6c7, 0x8a979a1b, 0x411954f7, 0x7a67c799,
+    0xb64bd8b1, 0x6c1b2e5f, 0x35aea890, 0x96872803, 0x544a15c1, 0x72506ceb, 0x559830ac, 0x3c7139ed,
+    0xbba64549, 0x23b3f4f4, 0x9ea2f315, 0xa9ef2dc3, 0x40c47881, 0xb42bb3a1, 0xa8d96eb8, 0x62c20de8,
+    0x70d5f36a, 0x7d48c4c6, 0x7daaa48e, 0x4e5eccfa, 0x0d4bbd01, 0xcd17f677, 0x85cd5af2, 0x7bfbf986,
+    0x1d472277, 0xc8bc676b, 0x5b5ec755, 0x545d9874, 0x5d7f0844, 0x98abe269, 0xe7612522, 0x251ba999,
+    0x5a8eca38, 0x86192933, 0xf4515792, 0x9247e5e8, 0xf4b18430, 0xccdb7be8, 0xdbfde038, 0x4cec343f,
+    0x5aca3988, 0x014d798b, 0xeede3f7b, 0x0696c516, 0x905e7f17, 0x35382478, 0xc368698f, 0x4dbed43f,
+    0x2df14b86, 0x46edfc07, 0xbf9f48aa, 0x3b991301, 0x343dde58, 0xb9d4d518, 0x16efaf30, 0x6597a933,
+    0x6e9b93eb, 0x9d115b5b, 0x0a4eb62c, 0x53b34755, 0x046a2cd0, 0xe20f8c4a, 0x3d0d9c9b, 0x5e372181,
+    0x2386f618, 0x07ddc07a, 0x0d3028c8, 0x6f963b61, 0x76babc39, 0xf5f797d6, 0x10500c6b, 0x8a9133e2,
+    0xd204eda6, 0x86420913, 0xb5c17f2f, 0xedba9e98, 0xf570d605, 0x3af8cffd, 0x4aa25dcc, 0x07ec4387,
+    0x4c7dbf53, 0x8e9dcfac, 0x0c1034ed, 0xed9f032c, 0x0a2c0cf2, 0xb525ad06, 0x1c87f604, 0xf5687568,
+    0x15970149, 0x3bd92698, 0x2c00e0d4, 0x9215da32, 0xa96da2af, 0x271de09f, 0x623f315e, 0xb245a4b5,
+    0xea3ad7d3, 0x4790886e, 0xa2b9d8d2, 0x47dc5fb1, 0x76769ee8, 0xed095706, 0xed64a4ab, 0x37c7c313,
+    0xb24d4f49, 0xd2f72985, 0x2b409e3e, 0x186d5413, 0xede256e9, 0xff46782c, 0x01dbeed7, 0x36899439,
+    0x00c9beba, 0x6a3eafbf, 0x57fcc73f, 0x5a085656, 0x9069a537, 0x77def5bb, 0xa2676d86, 0xbb151274,
+    0x3e017a5f, 0x34ec070b, 0xb932c26f, 0xa430677d, 0xa84a9a4c, 0x39ea9f2a, 0x7b9714ff, 0xabce7743,
+    0xc1241f6e, 0x5fa738e0, 0x21271362, 0x4116d68e, 0x4b16d52f, 0x56db193b, 0xe383999b, 0x35980892,
+    0xbb9b2d73, 0xcd8c5705, 0xcf692a67, 0x5e01c9db, 0x6a39b719, 0x8990bae8, 0x97fad0f9, 0xd37605b8,
+    0xad0ebef3, 0x9cfb5e93, 0x387478f2, 0xf07ee19c, 0x34f980dd, 0x5d7f8ddd, 0x1c54d55a, 0x918a2aeb,
+    0x92ac71e4, 0x094c60fd, 0x5cb17171, 0x3febff4c, 0xf83a45f1, 0x0074ce36, 0xb38945e7, 0xed1a2a9c,
+    0xe29f4597, 0xf2c808eb, 0x20c17f88, 0xde98ee9a, 0xfd9c5cfb, 0x4571f772, 0xc365fcc8, 0x073332ed,
+    0xb5e0f1cb, 0xf023870a, 0x3bd60265, 0x92073cc6, 0x1bf93d2e, 0x9c1da0c8, 0xca0981e5, 0xd6c93246,
+    0x965e9ec6, 0x8da56821, 0x5d4918f2, 0x62f3dbb1, 0x6452dc89, 0x6f1cbbae, 0xa3e5b586, 0x05c05f49,
+    0x2b6c7754, 0x972f0621, 0xad8590f9, 0x0bb140d0, 0x1a3ecc85, 0x5b1ccf3f, 0xd616f4ea, 0x7f13f46a,
+    0x9f1a2c58, 0x6aca7489, 0x8b6c4304, 0x9bbc43ff, 0x59bbb35b, 0xab377416, 0x041e86e6, 0x36d51e92,
+    0x4675f521, 0x92cbbf21, 0x59277e87, 0x1eac63d6, 0x15593485, 0x86d24a31, 0xc5e0318e, 0x58e7e061,
+    0x9f56aafc, 0x58310da6, 0x074963f9, 0xd933493a, 0x852ff93c, 0x2fc89d25, 0x0b24f8f8, 0x0bcd7319,
+    0xe4c26d60, 0xdbd51dee, 0x18ba26dc, 0x2ea9007b, 0x878b6fec, 0xe72f1c12, 0x2f735739, 0x22ee5fb2,
+    0xa7cca23a, 0x8c2c23e1, 0x74402732, 0x4320d69a, 0xd946b16c, 0x582e4b38, 0x6b592929, 0x26aad78c,
+    0xf076ede5, 0x5ef7643c, 0x5b43fbe3, 0x8b8f9fd0, 0xe1e06c02, 0xd6538c6a, 0x867088a3, 0x06a77161,
+    0x1350962a, 0x01ff2548, 0x650b1df6, 0xaa5c0c1f, 0xda386c32, 0x554c6468, 0xa98bc504, 0xed7da4e6,
+    0x2c3e5674, 0x442ada11, 0xe1404491, 0x89dc6a47, 0xee084b7f, 0x14d6fd26, 0xf9aebe0d, 0xd9588c42,
+    0x06c2adde, 0xe881f11a, 0x5fc1e653, 0x787e92fe, 0xbc00e574, 0x3ff7b6ec, 0x729063ff, 0xd2beec5a,
+    0x2d78df35, 0x3571ca79, 0x229b2d59, 0x166eba4d, 0x4310c534, 0x6f66cf59, 0xc2d9dc88, 0xe2830a64,
+    0x271b254a, 0x61578ba4, 0x25a7c1a6, 0x660c0e55, 0x2beba92f, 0x52432159, 0x66ccbed1, 0x7ee9ecda,
+    0x1860340d, 0x53d1df18, 0x908e827b, 0x41236496, 0xdc8a75b1, 0xb5ce751a, 0x85c71c20, 0x606e6ab8,
+    0xbb6ebdfb, 0xf3feac9b, 0x2dc20872, 0xe94d8bf0, 0x9072cb67, 0x36dbabdc, 0x53eb2f5f, 0x637d7dc8,
+    0xef131a6f, 0xf86738a4, 0xe59bfe24, 0x6ee818e6, 0x2b8577c4, 0x50bcbce7, 0x7614a197, 0xe1deecf1,
+    0xce10aa85, 0xb767cf1b, 0x6d87637e, 0xa73a31e1, 0x38bc8060, 0x770101cf, 0x3630e7fa, 0x61cd97ea,
+    0xbba66353, 0x51d512a0, 0xbcfca9a4, 0xa65bbc29, 0x6f26b965, 0xdcffef81, 0x6a61dc27, 0x06f996be,
+    0x005e4c27, 0xe8c97520, 0x44870a2e, 0x63f38f3c, 0x2344e484, 0x979d48a1, 0xc7d6e406, 0x715fabd3,
+    0x27b7686e, 0x34f89962, 0x5c54308f, 0x488532ce, 0xbdc32acc, 0x039e490f, 0x9a712a35, 0xf0f41616,
+    0xcb699972, 0xc6a03ec0, 0x34b78899, 0xd0755f64, 0x04364b15, 0xae79a95a, 0x3abdefbe, 0xcd093567,
+    0x7c22f00e, 0x935759eb, 0x1ddd37fc, 0x88882a4b, 0x7cea67a3, 0x3a163e4c, 0x1b805b88, 0xedb7619b,
+    0x18cfb3eb, 0x1a9a17d8, 0x54c9a922, 0x5c037755, 0x5c3a8509, 0x24d3919f, 0x3674b66f, 0xc9f2a845,
+    0x1b66f314, 0x38eae2c9, 0xfdc54d39, 0x23826333, 0x335c4983, 0x957fde04, 0xc232f339, 0x18f5f495,
+    0xf90a4017, 0x326a2934, 0x5e3c47c6, 0xd5e580ca, 0x3de01692, 0x178c35bc, 0x60080068, 0x9c50d93c,
+    0x2095f9ff, 0x34c1e63b, 0x620b6605, 0xa7cf8752, 0x3c83344d, 0xc8ab0971, 0x3186d3f7, 0xa777c795,
+    0x3769d577, 0x986dafcd, 0x150e2a1d, 0x801f91ee, 0x350230bd, 0xcad7111d, 0xd6e66277, 0xe4e2cdad,
+    0x4eb87a64, 0xa3c739f8, 0x680e3e41, 0x7906dad9, 0x53add15c, 0x9fd3e76c, 0xfda8a0fa, 0xed9cac6b,
+    0xa0f7c121, 0x2cb7490b, 0x801f02bc, 0x78609b20, 0xaba3cb7e, 0x9f15647c, 0xdd6eff15, 0x403b60f6,
+    0x543ec109, 0x41788231, 0xc3d0aad3, 0xdf7f272f, 0x14fc8efa, 0x153ab2d9, 0xdc33159c, 0xf8c72507,
+    0x998198ff, 0x0bf50e6b, 0x7e01dbd3, 0xc787a943, 0xe913311e, 0x22e20e62, 0x4dc16371, 0x1ca36595,
+    0xd6c2c9a1, 0xb0b29f84, 0x32b9e08d, 0xdad82e19, 0x7ddc5a7e, 0xf14c92a2, 0xe2e1d61c, 0xb35856b2,
+    0x8d4acd24, 0xbdda85c3, 0x86de57b9, 0x4e4679fb, 0x039a00a1, 0xfd0dc0ac, 0x723e9832, 0x998e51ca,
+    0x6fcfc5a2, 0xac6035f2, 0x0889e71b, 0x75e2436b, 0x4ff6400e, 0x4b8486ac, 0x3e32ba8d, 0xa44c0bc0,
+    0xfe25a1c2, 0xa8ed597d, 0x63d3f34c, 0xecce57f5, 0x4a56492c, 0x58f070d5, 0xabf7c07b, 0xe1089cf9,
+    0xd881ebf3, 0x7c05494d, 0xfc63b910, 0x56c5bd22, 0x72d1b503, 0xdb33235f, 0xaa8ac594, 0xdb6a416b,
+    0xa5ed8744, 0xfb0e795c, 0x7144e59b, 0x3d714ef7, 0xdb999971, 0x56891aa0, 0x546a6c8d, 0xbbc87cea,
+    0x6f5ca4a4, 0x02c57c73, 0x94e0f218, 0x29d059c3, 0xa0267883, 0xfd8a3e01, 0xfd6d48db, 0xdfa1985c,
+    0x510d5df2, 0x97f498ae, 0xf9264376, 0x2b64c64f, 0x0f638923, 0x1f3e15c2, 0x3edcb889, 0xa41d8297,
+    0xcfcfe830, 0xeaadfb8c, 0x339c3ffb, 0x6601248b, 0x7aceaa17, 0xf80f6022, 0x1646769a, 0x9b7bab9b,
+    0x2d57a5cc, 0x9c180bee, 0x94ff5bd5, 0x4c44138e, 0xbc8f2a39, 0x7b0293ce, 0xd3034c0a, 0x0b23955a,
+    0xa33edd06, 0x126cf48c, 0x5e8269cd, 0x1b1aefe2, 0xcb1000ef, 0xb179a7e5, 0x9ed523ac, 0xcf33cf9d,
+    0xcd86ecc6, 0x3a268c52, 0x02b8d995, 0x946a7758, 0xebf153d6, 0xec12cb00, 0xfc422594, 0x55a7d5fd,
+    0x82ec242c, 0x7eeadd4f, 0x70127951, 0x7a981185, 0xab482bd6, 0xe714146a, 0xcb04c0e0, 0x2b8f8b97,
+    0x37d5f507, 0xde018bf3, 0x9671159e, 0x7338f3dd, 0x5704a7ad, 0x9e4b8bff, 0x66551cba, 0x7c586ebf,
+    0xe564c18d, 0x7ee7ec62, 0xb567e3bd, 0xad4241bc, 0xd094e6c3, 0xe80fb6c3, 0x682d3247, 0x4d18f20e,
+    0xeba36b9e, 0xf43e445c, 0xe459857f, 0x84c928b1, 0xf256bd8c, 0x8b6826df, 0xeff541cc, 0x59f28ab4,
+    0x690816a3, 0xcfc72e88, 0x04956faf, 0x3450c9d8, 0xdabd939f, 0x485f1b26, 0x5b900ece, 0xc34b864b,
+    0x4c871c94, 0xbc4022ba, 0x723149ff, 0x718ce5e9, 0x68d2d666, 0x4cfd0916, 0x04295747, 0xfa3d79dd,
+    0x1c7876d2, 0x6c655a8e, 0x4e0c0ef2, 0x50573914, 0xaddb2d8a, 0x92ce46da, 0xb0889ec7, 0xe5915d67,
+    0xea398230, 0x37af673b, 0xd7a36cbe, 0x41c85463, 0x5908b677, 0xf73d4314, 0x36d02a43, 0x54526fb4,
+    0x81126165, 0x01ae5a1a, 0x0f684388, 0x975ce1c5, 0x15003148, 0x5764b388, 0x62d3bcaa, 0xf360a293,
+    0x51d15b57, 0xc2fd3dd9, 0x144d1ad1, 0x5bd97ecb, 0x5887569d, 0xbedd5fce, 0x9f014f8f, 0x2eddb678,
+    0xd2560d42, 0xe95d0b3e, 0x8294bc07, 0xf5107406, 0x1c934039, 0x432a8925, 0x50c61018, 0xdffd4256,
+    0xefa2f646, 0xe15efc44, 0x3f9c2853, 0xe9aca916, 0x01244b82, 0x9eccdeef, 0xec493757, 0x25fbc4a2,
+    0xd78a2db4, 0x1a4dbb7b, 0x0cd0504e, 0xb5c2edad, 0xd2b54cfd, 0xa835b586, 0x9af09cea, 0xda89347a,
+    0xfc1455a7, 0x96042f00, 0xe547702f, 0x0f4be7f0, 0x94c5a26e, 0xfe470591, 0x592197da, 0x9dd614e4,
+    0xa4380a67, 0x4b91b84c, 0xc99c89b3, 0x4797e1b5, 0x91f4370e, 0xd754ae91, 0xe76be056, 0xff3a3f0d,
+    0xa5b06e34, 0xa045ea2c, 0x4dfee6ab, 0xc7075e02, 0xf90c8d2e, 0x0255b683, 0xb9fdbba8, 0x2b31eea5,
+    0x2e45950d, 0x803ee6d6, 0x92f9d456, 0xe2eb8935, 0xab8f9e92, 0x38f0c0be, 0xc4aa68d0, 0x7d153901,
+    0xe022bed1, 0xdeff551b, 0x468a54e1, 0x4bba12fd, 0x3b9c30e2, 0x2af8e525, 0x66fd8711, 0x798199ae,
+    0x5d30162c, 0xfdca181a, 0x65616aca, 0xa71136ca, 0xb657c8d4, 0xc90626b3, 0xb1773dbc, 0xea1bca9a,
+    0x9cdc5317, 0x149d0124, 0x38f36a98, 0x2213ff2b, 0xf66a6abf, 0x3e6f4e5f, 0x13138a69, 0xcf07e51d,
+    0x36e2f980, 0x2592ca5d, 0xdf7cb14c, 0x57e72a48, 0x438332c4, 0x6fe4a230, 0x9d83b955, 0x2a92250c,
+    0xbd05686a, 0x00374904, 0xc96dd76e, 0xeffa935f, 0x681e9393, 0x49c4d456, 0xb4ecb83f, 0x99c75938,
+    0x41822fde, 0x521adc8b, 0xf92b203e, 0xa76a9381, 0xa97cb319, 0x6adae98c, 0x929e9486, 0xb1b5b5d6,
+    0x163f32d6, 0x6fc75c3e, 0x592c9cc7, 0xcaa271da, 0x2213011f, 0xd8c1f67e, 0x5905651f, 0x0fc78582,
+    0x164b0508, 0x44c3cf55, 0xf5ce11e9, 0x9892d494, 0xe467076c, 0x5e3240fc, 0xa2620afd, 0x800c07aa,
+    0x6c5aaef7, 0xa8a745a2, 0xc75b4434, 0x2f1170fc, 0xfec32fb9, 0x615ae90b, 0x6f4b862c, 0x693a1804,
+    0x5fce2697, 0x9b93466f, 0x17fa64b8, 0xb0c53fee, 0xa871aaf7, 0x113b992e, 0x2382cfe2, 0x8c21f34b,
+    0x6edcd8b1, 0x2ecbcea0, 0x93e5fba8, 0xcee0abbd, 0xd79a19f8, 0xda5a82f2, 0x78d4d053, 0x14d3802a,
+    0xf4595619, 0x2ae6e5a9, 0xd18d317c, 0x9edf2b8e, 0xc51203e9, 0x31313f2a, 0xfa15eb9b, 0xd362f318,
+    0x59ad69a7, 0x5eb0cb4d, 0x4b32b845, 0x64e56aaf, 0xc4f59faf, 0x902490e0, 0xedfbc792, 0x4cfae951,
+    0xfbb9d5a9, 0xc9109f78, 0x023b56a6, 0x7a34218c, 0x553b83be, 0x67c89503, 0xa3779524, 0x66958a82,
+    0x57f3536d, 0x2d27e594, 0xd42bdb15, 0xcefead44, 0xed7b4c53, 0xce618a63, 0x8806342b, 0x0ed1a8c5,
+    0xd9a247f6, 0xe72d40ee, 0x03f486be, 0x73463e25, 0x14064789, 0xe1f986dd, 0xc79fc6b5, 0x735d398a,
+    0xc78c159b, 0xdc36bfe9, 0x2223b682, 0x0df8e933, 0x182b34d6, 0x0c92a646, 0x3795a482, 0xf3e426e4,
+    0x3fe9bd26, 0xb42dad23, 0x034f26b1, 0xf7a5d2fb, 0xaac1be4d, 0x909b2da6, 0x22c1a0f7, 0xc6773115,
+    0xbb2d27fd, 0xf3bfda87, 0x23aa03d2, 0x52526653, 0x63bf0c1d, 0xc40cedb1, 0x83507aee, 0xf317ff09,
+    0xb8b638cd, 0x5e73c156, 0xd63a8ad1, 0x9280f03f, 0xb69b8394, 0x13b03fc0, 0x74776d7b, 0x795f42bf,
+    0x297ad6c8, 0x135f554c, 0x07db46e8, 0xfd98921f, 0x46bbc6e1, 0x955efe32, 0x15a0b5ac, 0x8c40c7f0,
+    0x20de7f3f, 0x75972610, 0xfee7e19e, 0x40ea80d4, 0x90e3c681, 0x2251461b, 0xdb7313c8, 0xe4fdf5f8,
+    0x3b350268, 0xcd2687ad, 0x175c8640, 0x94ed4f34, 0x6192e7fe, 0x455df4bd, 0x08572af6, 0x041225ea,
+    0x0361cc4f, 0xe4a213d4, 0x6c863668, 0xc47bfb72, 0x82051565, 0xa5a68777, 0x410fe379, 0xdc778ede,
+    0x73dbdef0, 0x9bb548c1, 0xcc0d7bba, 0x18e7afef, 0x03a1f973, 0x3e00fd8c, 0x1da888f8, 0xd24f0592,
+    0x07a06a40, 0x453adc30, 0xf2d087d8, 0x2c7ee03f, 0x764eb740, 0xe0c31604, 0x40a86c0b, 0x6c4c0372,
+    0x8ba50708, 0xa3aa0e2e, 0x62314807, 0x346ddb82, 0xe3d9ead0, 0x9ca600ac, 0x96fd8e7c, 0xfbebca18,
+    0x4f82fe10, 0x92033a3a, 0xec551929, 0x2153fbc5, 0xafd5e0ff, 0xd0a9925b, 0xfb9fe52c, 0x4eecf03b,
+    0xcf392225, 0x1c40ac2c, 0x2b2ea92c, 0x684ad1cc, 0x8b7065dd, 0x611f4578, 0x82905283, 0x79a505a6,
+    0xc0451754, 0xc8fc67f0, 0x81a00f28, 0x841b1e42, 0x92a01f90, 0x686026cd, 0x3235259d, 0x05d5252d,
+    0x2e59943b, 0x2811bd0d, 0x23ebb8fe, 0xa7e2a54b, 0x43492fb8, 0x982d0493, 0x745c5ff2, 0xe6a14a74,
+    0xef0c1a56, 0xfda436dc, 0x12e8ad61, 0x21c604a3, 0xef9d5176, 0x21343461, 0xaf895ad5, 0xfd6f32ef,
+    0xabbc571b, 0x9d7fb2d6, 0x8504feab, 0x6bc86823, 0x41d7f986, 0xb2fba203, 0x25af0125, 0xb47545a6,
+    0x00000000,
+    0x5fb7fa6c, 0xdc57f249, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000040564819207303340847894502572032 */
+  { 0x00000000,
+    0xe0aebc32, 0x80347087, 0x7abee4ed, 0x8d49cdc7, 0x5be1df6f, 0xfec70416, 0xcaa437eb, 0x1e50b934,
+    0x6137da04, 0x163d77de, 0x35b79956, 0x657d0703, 0x40672785, 0xe5b4e33f, 0xfa485dfa, 0x172f2f7e,
+    0x20cafa89, 0xa9368cf7, 0x227e0b02, 0xfb60409f, 0x1cf8cd9e, 0x463a03f5, 0x6aa32945, 0x80e6211b,
+    0x4c2a43f7, 0x29f9de78, 0x5851169c, 0xaaecf947, 0x6ac789f8, 0x9edcdd13, 0x0ce06ba6, 0x8c38819d,
+    0x39078aa3, 0x52a9d261, 0x36cbecb4, 0xebb9d41a, 0x4b2af9e4, 0x20317744, 0xdd0d986e, 0xf1ffdd37,
+    0xe73f3f1a, 0x6aac4f16, 0x23b99c9a, 0x3ebce763, 0x2a62ae08, 0x5f3aba36, 0x304a9a17, 0xb3de7500,
+    0x5a1e2116, 0x8b67ba7d, 0x1ee2d946, 0xe0ecf6ca, 0x0ad93e3a, 0x52c72a18, 0x21f3298c, 0xa4698912,
+    0x82f0fb29, 0xa8e5c7fb, 0xdc94c29b, 0xc4683d65, 0x2fb208a8, 0x0eb787b9, 0x9da23179, 0x492b40a5,
+    0xaf0e8c0e, 0xe379afcf, 0xd3057aa1, 0x20ed0184, 0x64fb0b18, 0xf6cef442, 0xee35afbe, 0x45160521,
+    0x3fac4c1a, 0x182070a7, 0xfbfa5e0b, 0xa5fb1bf0, 0xb800cb33, 0xb65f63ec, 0x77aa6582, 0x2a9bec2b,
+    0x4d2a493b, 0xfe7f298c, 0x4362ba88, 0x8a3887a6, 0xf017effd, 0x92db36a2, 0xd56ffc08, 0x7c434958,
+    0x9ba72a97, 0xa59bcbf4, 0x8a6114fd, 0xb994bdc9, 0xa8fdc29a, 0xbdc51816, 0xf49ac47b, 0x6676116f,
+    0xe5f950b5, 0x51513a92, 0x920e0585, 0x5b5479f8, 0x78374f36, 0x7de126ad, 0x9d1382db, 0x0b0c9f11,
+    0x8075feea, 0x241f4eb4, 0x2688b407, 0xc597dec7, 0x9aa21ead, 0x002352e9, 0xd8f00c95, 0x0d480445,
+    0x4c9e3b62, 0xca74112e, 0xb8c47475, 0x5c1ceacb, 0x8f15e3dc, 0x4c528f81, 0xcb7f7ae7, 0xfafc1b84,
+    0x7df03f62, 0x4af07abb, 0xbcda08c1, 0x0a7ae975, 0xec334b56, 0x374cd5af, 0x6f04cb04, 0xbe31dee3,
+    0x275a6099, 0xcf1b5254, 0x98929eab, 0x1ab22990, 0x5c81e4c5, 0x06837c5f, 0x3dbb2738, 0x18adc76b,
+    0xf881c0b2, 0x23d32b27, 0xce718471, 0xbce276a2, 0x644b7124, 0xeacaf34b, 0x256dd5e7, 0x006d8b9a,
+    0x9b7fb63c, 0x95825187, 0x07b0765c, 0x3bb66b39, 0x556c8a34, 0x6f64f286, 0xa7cd1e35, 0xa02fde84,
+    0x9cd66ed0, 0xb1667c01, 0x4a370224, 0xe52bc02a, 0x3b8376d0, 0xc52621f2, 0x92b79520, 0xb877a30e,
+    0x1e9e81db, 0x738471e6, 0x81ab52fd, 0xbbe37a47, 0x64d75df8, 0xff59af36, 0x16570c70, 0x51be358f,
+    0xb4ffdc11, 0x2d89a3c8, 0xc3e155f1, 0x26e82344, 0x95032ef2, 0x09df256e, 0x4c6de846, 0xe4ad2b74,
+    0xffa89251, 0x512a4265, 0x2b7619ec, 0x2d95188b, 0xb7073978, 0x97de1825, 0xae207799, 0x4e2ff6f0,
+    0x2410de9e, 0xdb548f56, 0xda034403, 0x5650c60e, 0x4614cdf2, 0xc80f156c, 0xfb4f3d4e, 0x2c26575d,
+    0x0035c6f0, 0x9ce6516a, 0x2914e497, 0xcf4d3437, 0xacc04b99, 0x0db7a362, 0x1f988170, 0xd5d0050d,
+    0x20d038e9, 0x735b5bf2, 0xcfb6164f, 0xcbc775d3, 0x142a7c8e, 0x1fc62eb8, 0xc7d1963b, 0x09b50a32,
+    0x669ce55f, 0xf1eed729, 0x99a53123, 0x9977acec, 0xf30adf69, 0x5cec36ad, 0xcb233927, 0x6cfc48be,
+    0x4cdefa75, 0x5b1ab09c, 0x2a686dd9, 0x4bf0bd04, 0x05d84acc, 0x75df0af5, 0xa571e689, 0xc523a2d9,
+    0xadedf29a, 0xc8bc7561, 0x9954c6e8, 0x3fd35060, 0x1594b635, 0xf5b3c6af, 0x066dd27d, 0x47d367a4,
+    0x5ff44354, 0xb726a523, 0x63d83b9c, 0x13d294b2, 0x46f6b25d, 0xc07278a4, 0x7ca5a8d2, 0x835bd3fd,
+    0x3e54c134, 0x0e92c754, 0xf38f770b, 0x4cbcc3d7, 0xdb479637, 0xeaaceccc, 0x1ca0930c, 0xdbfc9ebf,
+    0x7c6b4cdd, 0x15ae896b, 0x3d5536e8, 0x025d61a1, 0x6c4e78f7, 0x33807253, 0x9314a5aa, 0x7390edce,
+    0x6d4b6f4a, 0xde3b528e, 0x70b212b9, 0x8b7b4fe2, 0x08171ced, 0x19354fec, 0xf5969fe5, 0x35c5ecb8,
+    0xe9d014c4, 0x85a3702f, 0x37a8f5cf, 0xaafe4b85, 0xa6a129ea, 0x9f9abd71, 0xd130fd77, 0x7522e3a8,
+    0xc442b036, 0xf73f366c, 0xb3a07213, 0x025892f9, 0x23c191d7, 0xf1d7d783, 0x778e24bc, 0x6fb45ece,
+    0xffd75356, 0xa4df33c7, 0x33d8e44a, 0x658d267c, 0x8752da0a, 0x3d58fca5, 0xf650906c, 0x1dabbc5a,
+    0x3a0cdf44, 0x68d77a43, 0x64eaaf9c, 0x1ed7cf48, 0x895b781a, 0x2e34bdad, 0x551d9445, 0xeb07c63f,
+    0xfedb8f65, 0xa7e00f80, 0x561eac8c, 0xe009825a, 0xc058cb90, 0x0ee323f1, 0x2154ce96, 0xe3628020,
+    0xfeb0f87c, 0xf481983c, 0xe947e16d, 0x9ce377c9, 0x4222fc4c, 0xa8bdae4e, 0x8c932b71, 0xf34b94f0,
+    0x09cda0fd, 0x7043c67a, 0xd9222678, 0xafcc4160, 0x836c038b, 0x574d5948, 0xaf2a8f40, 0xe4b20fb5,
+    0xa930af7b, 0x846a1db9, 0x1e5f37af, 0x0c4172e2, 0x9e1ab473, 0x54798b40, 0x310317bf, 0xb376dc44,
+    0x593aaf1b, 0x60fb431b, 0x19a3d8a1, 0x5ce051e2, 0x743fb6d5, 0xc954bb91, 0x37b53d6f, 0xe2561b96,
+    0x8366c696, 0x4a3f568e, 0x07aa0f64, 0x3893e722, 0x1fca7baf, 0x3f5e5fc7, 0x4824f82b, 0x76d808cc,
+    0x07f0100c, 0x5f73518f, 0xbc59ecdf, 0x8216dd19, 0x46fb5210, 0xc4a4ab47, 0x57eb757c, 0x96d7beb0,
+    0x11fdfc90, 0xef7fa63a, 0xcbaabc06, 0x76e5dfe4, 0x6047edad, 0x21f9a148, 0x099306a5, 0x76d0e96a,
+    0xde44285c, 0x75813520, 0x6325122f, 0x7bab5da8, 0xac7fe928, 0x79bd5c4c, 0x26332509, 0xb8e01fe9,
+    0xe5c8ca59, 0x41945005, 0x13826db8, 0xab258ebe, 0x9e5fbf42, 0xe5e75fe4, 0x5557659d, 0xca0d3c22,
+    0x273da526, 0xd02a3806, 0x4578a7c6, 0x951f24aa, 0x35c5c806, 0x80ffeefb, 0x8ca80cae, 0x87baa38b,
+    0xee94f8f3, 0xa56c7984, 0xd8f8d2d8, 0x41293b16, 0x72eef207, 0x8db9efd1, 0x813b787a, 0xbd0685a5,
+    0xf1ebd068, 0x38ec7317, 0xabe16da2, 0x1118152e, 0x851d654a, 0xa65f9ced, 0xe2768b0e, 0x677c586e,
+    0xda16dae0, 0x7221270c, 0x0636a7f0, 0xc383276c, 0x430acf71, 0xa9c2c866, 0x6f67b629, 0x94725562,
+    0x6aa60d64, 0xa7d8957a, 0x5479b7bd, 0xa646e1b4, 0x4ee0dc00, 0xe3bdbff1, 0xc81a7a35, 0x176874e1,
+    0x831651e4, 0xa781d438, 0x42d13670, 0x6bf8e802, 0x947ef34c, 0xda619a4d, 0x24f77051, 0x5f848e62,
+    0x43f7a69e, 0x55572532, 0x8abf15c3, 0xec174119, 0x167556f4, 0x05d0c070, 0x646f6cfc, 0x2d41fa74,
+    0x1a4cee9d, 0x9aa8515b, 0x7ead75dc, 0x3a1f5714, 0x908eac8a, 0xaaf695b3, 0x513e5225, 0x3c5dfae7,
+    0x6df0cee6, 0xa199733d, 0x022bf0d3, 0xfeecdb42, 0x194dfeb0, 0x37df5604, 0xbee78987, 0x8c186bf6,
+    0xcda77955, 0xdbd2c336, 0x91da77a4, 0x3ae8fd26, 0x190f601d, 0x5aa22647, 0xe3d4ec7f, 0xc45f3e55,
+    0x5024a56d, 0x2c0905ab, 0x7296594b, 0x4050e5e4, 0xfac232d4, 0x32890fac, 0x2b9f94a6, 0xa66675c0,
+    0xe1e04473, 0x2213c84c, 0x20bc0bbb, 0x4a7a3f7c, 0x58ce3140, 0xfa8ecf4c, 0x4854fcb1, 0x2b8cf391,
+    0x952ccc54, 0xd7bb9dff, 0x9ae71a44, 0x7c531e82, 0x40f90e9e, 0xf9c8e158, 0x6abce403, 0x707f8f33,
+    0x53daa159, 0x1aee9818, 0x54d11cbe, 0x905eea4f, 0x45c96b5b, 0x86ca5589, 0xaf5a4904, 0x3b66de25,
+    0xdc76bf66, 0xe32932d8, 0xfbe2ea8d, 0x7f0b3631, 0x06ea89b4, 0x59e8c781, 0x99b8e820, 0xec223c11,
+    0x1d28144d, 0xafe1f73d, 0x522f5a36, 0xc9fc89e2, 0x05e1cff6, 0xbd261393, 0xd000f321, 0xaaf5c457,
+    0xb9f90ebc, 0x445d2f44, 0xca0bef0d, 0xbe9d0982, 0xb7049be8, 0xbd43b6ec, 0xc3927080, 0x17f1b025,
+    0x15ad3d93, 0xa8eca27c, 0x108856c8, 0xdec89919, 0x37b9f8a3, 0x5dc5eee6, 0x97846f05, 0xd0efb54f,
+    0x91c83c95, 0x0e56636e, 0x97b7f825, 0x801cbe49, 0x5c6e057a, 0x5056bba7, 0xa62f74ab, 0x8c109b93,
+    0xab09d79b, 0xd3fef4a0, 0x8db58145, 0xf24fbb73, 0x15f54e6e, 0x1cd01dee, 0x2064955c, 0x17291576,
+    0xf2400742, 0x4b8223bc, 0xfdd6d2c8, 0x0e2087ab, 0x4b46300c, 0x4d340aee, 0x79cd87f7, 0x4badf89c,
+    0x14a0cd5b, 0x62701c0d, 0xa8ac7416, 0xe4d03b61, 0x5b2e1e56, 0xfb9aedf4, 0xc079a6f7, 0x6414379b,
+    0x91492229, 0x33a49fd4, 0x5f0372f3, 0x222f76d0, 0xbfacc688, 0x2212bed2, 0xd5224b63, 0x93fdca12,
+    0x7c7c0cfe, 0xd10424e7, 0xa6dca4df, 0x7b2fde13, 0x37e1f0c1, 0x8dc1cae8, 0x9f911524, 0x59e6407e,
+    0x8d276ad9, 0x642b5460, 0x03baed24, 0xcb6f84c9, 0x428a31e1, 0x7cfc41ed, 0x11b69d6b, 0x651c4a80,
+    0x4e5ac385, 0x981c9b03, 0x04124232, 0x82d48311, 0x31dcbf2b, 0x4ae68b9b, 0x4512e24b, 0xb46512c4,
+    0xea1c8fd3, 0x84ca757e, 0xb49794c0, 0x69eb0e51, 0xd63abbd8, 0x13692d8f, 0xd64b257a, 0x02990b3c,
+    0x127d167c, 0xd4ee164c, 0xc5b62e1e, 0xa27d0326, 0xf41c0a41, 0x30aecd28, 0xa44436bc, 0x00577f8a,
+    0x22beabf8, 0xacb42ce9, 0x5117bc72, 0xb93f61b8, 0xde1e1ccd, 0x2c40c2a9, 0x70844e5b, 0x8477c86e,
+    0xa9dab40e, 0x5bffa7cc, 0xffab7318, 0x7d1b4a42, 0x2cb45707, 0x10d65227, 0x3df2c6b3, 0x8510753a,
+    0xd979bdfe, 0x4fe59e38, 0xff644ec6, 0x3d7b4933, 0x8e7807e6, 0x50f2e620, 0x697f45b4, 0xcd2d8185,
+    0x705e3e59, 0x346fed2b, 0xde3ae73f, 0x6b0a4425, 0x5ba0b01a, 0x62d75379, 0x9ab1abde, 0x3f5b1287,
+    0x5b7bdd29, 0xdd32ab09, 0x0d2cdd60, 0xc09f9e89, 0x13073b61, 0x704fcff0, 0xfa9e0443, 0x737ca460,
+    0x58726303, 0xfafaa2d7, 0xc9ec07ee, 0x58c0d102, 0xc62d08dd, 0x13787c7d, 0x00c403fc, 0x57a410ee,
+    0x94b080ba, 0xffb679f7, 0x534dfa50, 0x53f0e1bc, 0xf1005f38, 0xd5742d27, 0x41cb58f9, 0x0717822e,
+    0xe2d1e6ae, 0x56716ea1, 0xd93616ca, 0xc9f03880, 0x49f3f862, 0xb59c1ff7, 0xf8fd1d17, 0xbc115863,
+    0xeed45904, 0x65ab6042, 0xb072f0db, 0x96cf9db2, 0x247509dc, 0x1f881e3b, 0x786aacee, 0x9a6229e0,
+    0x1e79ced7, 0xe605867f, 0xfad65a38, 0xa318c626, 0x36b9d0e6, 0x25d579e0, 0xa325a4db, 0x858e1f66,
+    0x658ca40b, 0x5507dd38, 0x0d8e671a, 0x7e4ce7d1, 0xf12d8c65, 0x20e7a602, 0xf000852d, 0x8970925d,
+    0xf1d887aa, 0x99da36d8, 0xc58e0f25, 0x9e1db4ba, 0x64e43397, 0xa2fd62f8, 0x17a8beb7, 0x14a36672,
+    0xed56b693, 0x5b414cc0, 0xf97f67e6, 0xc32ddede, 0xeda7bb0c, 0x34744a33, 0x78140277, 0x3d0e45ae,
+    0xb400d0dc, 0xf1a1c966, 0xe39599c7, 0x719ab56c, 0xf48a564a, 0x392f6620, 0xfe6c3645, 0xbad2b0e6,
+    0xb08c70cf, 0x14f7216a, 0xc2708d62, 0xa5c2f75a, 0xe2b5cbf7, 0x02aa1c43, 0x41789943, 0x06b1a4d7,
+    0x0c086d19, 0xfe2ad8f2, 0x124f28f6, 0x78d845b0, 0x04ca51a4, 0x88c73e6b, 0x0e9503d4, 0xc91efc6f,
+    0x37b5e359, 0x10eea9cf, 0x85b2ff03, 0x9f100cb4, 0xa0bd9fd3, 0x55f5d315, 0xbf471f14, 0x92b68f91,
+    0x0f13c0e9, 0xc30682ee, 0xe357f040, 0xf8ce2040, 0xb527fd00, 0xb79e402b, 0x855cb693, 0xacf23af8,
+    0xbd6e796f, 0xef7758e3, 0xcb3375d3, 0x8d7c1b82, 0x4200cb3a, 0x8cef3d37, 0x306945b1, 0xd8340944,
+    0x4d3b90e6, 0x291f2cd5, 0x415488fb, 0x155a5fbe, 0x72fde7c1, 0xb916101b, 0x753796b0, 0x898603d5,
+    0xbb0a0733, 0xe73b8c2b, 0xff27378f, 0x537a94e9, 0xe774f91f, 0xb4dbe2f1, 0xa1b45860, 0xbab73b21,
+    0xd5524f58, 0x19311961, 0xe3cbb430, 0xdbf27bbb, 0x1d568398, 0xf04ae0f2, 0x1ec33ab9, 0xbdb4a0ee,
+    0x0b3ee79d, 0x91ff3985, 0xe4c6ecc9, 0xa9121e31, 0x2e81066d, 0xea60e9e4, 0x442d6230, 0xedb25574,
+    0x821ca0e6, 0xaff36f44, 0x067e89d3, 0x0bc31f2a, 0x1a8a7295, 0xcacf87b5, 0x609f96e2, 0xa8d9f8f3,
+    0xcd82f21f, 0xe47b131d, 0x80bf6b9e, 0xf05cdcd8, 0x4b5be839, 0x101e5427, 0x992c2a0b, 0x75e55c77,
+    0xf7c96b0c, 0xf8d8205d, 0x12258955, 0x7063f014, 0x00766677, 0x31580d83, 0xdf294451, 0x9ec56156,
+    0xae847a0c, 0x358a2e74, 0xb2b921b1, 0xf798f9a3, 0xac24b2ae, 0x299b68d7, 0x5ece2d6a, 0x1ee08796,
+    0x7b607c34, 0x920f6930, 0x05d666f4, 0x919f99b1, 0x3471de22, 0x57d2f1e6, 0xbf3b47a7, 0x13354187,
+    0x2e0be169, 0x23514a0f, 0x53cfaa26, 0x6fb13bfc, 0x04b64cc1, 0xbdd1eec5, 0x8f2c463f, 0x2a9d9fb5,
+    0x319b418d, 0x044df077, 0x82edda17, 0xeea23b0e, 0x70cd4dd1, 0x2241954f, 0x1c85cc97, 0x1dc1efa2,
+    0x29d0803f, 0x9b0ea5d8, 0xb69721cb, 0x0354f5e2, 0xc5a764ca, 0xcb927ed9, 0xd9c17fc1, 0x4a2e8256,
+    0x119cdb20, 0xc64c5cab, 0xdced5283, 0xfccb779a, 0x4fe2b71e, 0xa093a5d5, 0xa00075dc, 0x8969c2a4,
+    0xac44a1f8, 0x05f034a6, 0xf43aba56, 0x407ff23c, 0xd8aef1c9, 0x71c3b666, 0x1e70018a, 0x20f45f9d,
+    0x9a91ca35, 0xc76fcf50, 0x37aea723, 0x41668835, 0xc7b1fbfa, 0x99c789ef, 0x79e18a0d, 0xffbf14ec,
+    0xbfc40bc9, 0x9fcee89f, 0xde5c6ce4, 0xc1537ff3, 0xbe0c9c19, 0xbb72ae15, 0x1407b057, 0xf58e3932,
+    0xe1198be3, 0xc652d2ea, 0x9b4915de, 0xbcde312c, 0xaad006ab, 0x04a79c02, 0xe5eff799, 0x08bcece2,
+    0x448a7df8, 0xe20e3811, 0xff2a7175, 0xc8b67ccd, 0x9a57d5bb, 0xcf8a96a7, 0x1a1cf0d3, 0x1351c52a,
+    0x717157d0, 0x90264b43, 0x8aa86f36, 0x9912b31c, 0x766426f0, 0x74de1a4e, 0x02560c39, 0xd2ab2cb7,
+    0xd35f3fa9, 0x9070f934, 0x62d26be8, 0x6a15fb1f, 0xb1298244, 0xc4bccda1, 0x21ae0cc6, 0xe6f45288,
+    0x69c046f1, 0xc90c1f69, 0xe693fdf3, 0x8e3be9b8, 0x36acce74, 0x64e38442, 0xc2402e52, 0x7c29076c,
+    0xd95e148b, 0x29918ce8, 0x7ee9cf87, 0x43832346, 0x98e7698f, 0x13deea62, 0xe4ee3513, 0xced3be48,
+    0x3bb22bee, 0x5a3cf081, 0x5a78cebb, 0xe1a5f5db, 0x4746d8ed, 0xb13e0ce2, 0x8e594d26, 0x442b2a9c,
+    0x925232aa, 0xb1c80a49, 0x215f377d, 0x71ad2ae0, 0x178de91b, 0xf0f4d030, 0x59268598, 0x21006eec,
+    0xd57b87ce, 0x8abd5268, 0x468562c6, 0xe9a3fbf9, 0xaf65a960, 0x62a5f159, 0x95145e77, 0x8f4e9f72,
+    0xaf7738c9, 0x46ca3e14, 0x38ab21e1, 0x1b9dae67, 0xf4c14634, 0xd7a6924a, 0x74ab02b0, 0xa9f53460,
+    0xc818d4e9, 0x1f7acbfa, 0x6b4c8c70, 0x779e9f7b, 0x2fb24cf4, 0xcb6858dc, 0x403b93ad, 0xb04c3b91,
+    0xbdabdeec, 0xf1342cc0, 0xcadf4f7b, 0x79b4b4ba, 0x610a0f8a, 0x5b947b4a, 0xc1bbbc2b, 0x5cd382e9,
+    0x089b4411, 0xa670839a, 0x7f5c8442, 0x0bb1f1e3, 0x516be770, 0x830a866f, 0xa5a275b9, 0xa238881e,
+    0xd32fa290, 0x5a01ca3b, 0x6ec92216, 0x3e0223d6, 0x35cc62f7, 0x962b2b4a, 0x9e279428, 0x02a4af5d,
+    0x8d467398, 0x244e665e, 0x152719fd, 0x575ec5fc, 0x89bea6bb, 0x998f0276, 0xd9c2b1a0, 0x1a3ab622,
+    0x2e0d70d7, 0x1cc741fe, 0x53841f32, 0x0bedc237, 0xec24fec4, 0x1c968183, 0xfe27cd63, 0xd6ef7d5e,
+    0x00000000,
+    0xafdbfd35, 0x6e2bf924, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000020282409603651670423947251286016 */
+  { 0x00000000,
+    0xeb2fa2d4, 0x46b363c1, 0xa512215e, 0xb782a802, 0x2daf0d6c, 0x5f4f21e4, 0x9b1d424d, 0x6f8c175f,
+    0x16ec1cc1, 0xfe05fa5b, 0xd35eb04b, 0xa6a4cc57, 0x9b615314, 0x7758f922, 0xc27cbf30, 0x0a95841c,
+    0xe99f0dd5, 0x0b0fe401, 0x59601959, 0x2565e261, 0x027d837a, 0xbfec2c01, 0xad12de65, 0x2cfea50b,
+    0xcab0c785, 0xd372f2b0, 0x8820711d, 0x805a914d, 0xde9859ff, 0x2b8003a3, 0xc0e3a9b9, 0x6430cc6b,
+    0xbcbe47b1, 0x4012e41b, 0x90df73d8, 0xf98cf909, 0x014f4c28, 0x9c28d778, 0x6a95b612, 0xabb4f23c,
+    0xff396c5e, 0x9a709f4a, 0xbef561e5, 0x4dbfe92d, 0xb34e61b4, 0x6b3922f3, 0xa214f330, 0x6f9b141a,
+    0x2d671aa5, 0x1b39e97f, 0xf4567fa5, 0xf7ec3bc8, 0x17cd205f, 0x7cd9cd8d, 0x304b63c2, 0x93b1a1d4,
+    0x50f779a1, 0xf00f809c, 0x67b52b58, 0x12b8007b, 0xe1fe6395, 0xb68525c3, 0xcb4377bb, 0xc8cbc9fd,
+    0x10876101, 0xe297b1d5, 0x1f826ed8, 0xa3b0ffb2, 0x4aae1a46, 0x4d2ae52f, 0x78572dd8, 0x97b6524e,
+    0xce69b322, 0x52674004, 0x8022f3eb, 0x026fa58f, 0x85328050, 0x0795eee8, 0x42817a13, 0x93d04c83,
+    0x73a8fae2, 0x5ac82efc, 0x082e52e7, 0xc6c07ef2, 0x7b9cad28, 0x03c98f1d, 0x3fd43aab, 0x0450f1fe,
+    0x518a18a6, 0x8251bc21, 0x5e7c5e4a, 0xe0ca6310, 0x8f3a62b4, 0xf7a4d027, 0x7b81ba59, 0x5f82ad1b,
+    0xa6e75eb1, 0x242955d0, 0x8cc5234e, 0xf2bafcf0, 0x672e6fde, 0x8cab7f3f, 0x18def4b1, 0xc8c63490,
+    0x9d0d307b, 0xdd6abde4, 0x0642a448, 0xad25ec58, 0x82d2734a, 0x7eb0712c, 0x2ae11111, 0x2655ba50,
+    0x302ba7dc, 0xde00a729, 0xa910e761, 0x7175ca69, 0x5c7eaa46, 0x5721943d, 0x8167bc38, 0x6f080229,
+    0x8e3bfd5c, 0xa08af05b, 0xeddbce60, 0xcfa1befc, 0x247b92b3, 0xc6232280, 0x2a723721, 0xea90e928,
+    0xcc177632, 0x4eb3ba97, 0xc635cfa2, 0x10e2e595, 0x5724e4af, 0xd3c7dc4a, 0xfaf4d53a, 0x6e4ca37a,
+    0xd57f0764, 0x63e65915, 0x39f0079b, 0x800f573a, 0xa4c1df35, 0x468044fc, 0xd9be2374, 0x9dabec5b,
+    0x1a804ad6, 0x62465139, 0x15b1a004, 0x872ad34a, 0xa30b6aa6, 0x999602e6, 0x699987b9, 0x6b624d46,
+    0x819094da, 0x47b826c6, 0xdf9c0362, 0x618da227, 0x1bbd7894, 0x3ce22451, 0x5cf64e46, 0xdc294307,
+    0x33eb95b9, 0xc579f9fe, 0x097cc2eb, 0xa39633a4, 0x3ef55e01, 0xad947924, 0xd34ae727, 0x8a0e17e8,
+    0x8c846b59, 0xc40a06e9, 0xe17a2780, 0x86417d12, 0xa0c82df1, 0xead40cec, 0xd3ae8445, 0x3a99288c,
+    0xa79554ed, 0xc2851cb8, 0x6d827369, 0xa999ce44, 0xba661fb9, 0x53faa52f, 0x9b6c5009, 0x69df7d43,
+    0xdc33b7f7, 0xbf89a627, 0x365ffdb4, 0x70727379, 0xec575e2e, 0xab990f88, 0xa446b779, 0x8ca0de7f,
+    0xe16dec92, 0x6f23e95a, 0x3f3751b9, 0x242e86b0, 0x17e52dc4, 0xb83e788e, 0xdf6cd386, 0x29c70eb3,
+    0x6416197f, 0xd5bbbfc1, 0xf5e570ce, 0x4d90bb06, 0x1a51000d, 0x24e60821, 0xc6b7bd01, 0xe849f882,
+    0x747492b3, 0xb25ef696, 0xa0ebf8b4, 0x4735d80a, 0xe95cb4b6, 0xf2f666cb, 0x964091ab, 0x7cb3efeb,
+    0xfe8db0c7, 0xa9273b92, 0x443c35ba, 0x9e7981b8, 0x77116596, 0x5c039b0a, 0xdf903850, 0x67815cfe,
+    0xc3a5209b, 0xfb47de5a, 0xd5123c53, 0xdec154e7, 0x3ea5c0c4, 0x05ea0fd3, 0xa5f13a18, 0xde090cd8,
+    0x55e5ec3b, 0x86c05fe9, 0x6a3b886a, 0x51b7de43, 0xdd5d6b9c, 0x1db23d27, 0xf1def9fe, 0x15dd1afb,
+    0xde3d54fd, 0x3eab72ed, 0xd2f20296, 0x427289fe, 0x897fb835, 0x930bba57, 0x5d1ca67b, 0xb66dfa64,
+    0x424baf7e, 0xe9350c81, 0x413500d9, 0xaa6dd709, 0xf6696bc5, 0x80392881, 0xee4845cf, 0x081f140a,
+    0x5b99e6bd, 0x79db6850, 0x19b6b878, 0x0fbfbaf3, 0x4b8ccbb2, 0x32afa462, 0xedc91228, 0x099b8046,
+    0x2042bb91, 0x0dd4162f, 0xccca53a0, 0x7269e6ac, 0x62b5de64, 0xa2380e77, 0x4496b809, 0x49956c19,
+    0x2e51a297, 0xc2fa9701, 0xd04ade57, 0x672e5d40, 0x618668e7, 0xb86744c6, 0xcd8e19c0, 0x5994dee3,
+    0x8cb0ad27, 0x183a8992, 0x635a0ad0, 0xcc0562d4, 0x1377be60, 0x6ef29609, 0xdb79ac05, 0x41c24c13,
+    0x089cba66, 0x70bb6a16, 0x9250a516, 0xdca8e38d, 0x28063ac4, 0x52df9e83, 0x749bec1b, 0xa3aa87b3,
+    0x15fb9988, 0x66fecd76, 0xd72bbbf0, 0x237b4810, 0xfb19c81c, 0xb0acbbb8, 0xb3d321ad, 0xc176da55,
+    0x0d25c06c, 0xe3cc918e, 0x601b99ae, 0x7d642648, 0xf76a2b54, 0x4b7027ed, 0x5191db42, 0xbe40ec18,
+    0x2cc5e9bf, 0xa15e156b, 0x3160cc6f, 0x37e25425, 0xeeeeb140, 0x59656f06, 0x4fd98516, 0x657f7c05,
+    0x8c7c372a, 0xc7a21718, 0xf11d6d02, 0x75e748a9, 0x2b54080f, 0x84158eb9, 0xc9d988c2, 0x1a9b43c7,
+    0x55555d82, 0x14321655, 0xe3591eac, 0xedd0a598, 0x7e424f32, 0xf88a5376, 0x3de3120a, 0xf0af482f,
+    0x5e02ab94, 0x657e672b, 0x3ef1103b, 0x2a98459d, 0x75ccf319, 0x0747ba99, 0xedc9da5d, 0xf0eeffc7,
+    0x275ab56d, 0xa842960a, 0x3aea00d5, 0x99587f07, 0x162641c4, 0xab9fae78, 0xd6048a19, 0x7992b62e,
+    0x8b9e9347, 0x349e374c, 0x688f023d, 0xe6931679, 0x1723459b, 0x17410bea, 0x8e6dcca3, 0xb4743a71,
+    0x4a537041, 0xf47219c7, 0xd9390f48, 0x53e4f634, 0x1a49b1ab, 0x868c38eb, 0x943eeba0, 0x6d5d728c,
+    0x2d3984a7, 0x4b7626dc, 0x589bfc3b, 0x17ad05a1, 0x413cac94, 0x258cdada, 0xadacefd6, 0xcdf8fb08,
+    0xc317cfc8, 0x921ee029, 0x71a5b699, 0xa13a20fc, 0xb56509a2, 0x1348d853, 0x6420d67a, 0x585a62b7,
+    0xed77f85b, 0x2fdb20f6, 0xffef4d22, 0xcf3439c8, 0x0c338916, 0x59e6bca9, 0xa03f14c8, 0x84c156cf,
+    0x82aacdc1, 0x03484603, 0xb7e5c333, 0x04526238, 0x16cb9015, 0x2296a726, 0xa0e414b6, 0x3cae8385,
+    0x449f13bb, 0x0615051a, 0xf8263b3f, 0x08085434, 0x72a6f422, 0xe137841c, 0xd5861187, 0x2ad96940,
+    0xa90d1a75, 0xc9c6a982, 0x80d5483b, 0x2b8db516, 0x3cb61dba, 0xc0a32453, 0x78ba9a18, 0xbc4d8dff,
+    0xb63625d9, 0x9e5a8139, 0x33b8f2be, 0xced25761, 0xb6f00f4a, 0xfb3b5bac, 0x2deffb3c, 0xa0054281,
+    0x09fbc667, 0x4dbd6a8b, 0x65d60bc5, 0x73c2a864, 0xbd69d1b2, 0x2baa263b, 0x09466091, 0xb1a69b4f,
+    0x532168ee, 0x87cf6e43, 0x06ad42d8, 0xc547a604, 0xed2653d9, 0xc0c9c495, 0x0aa3a66a, 0xc9053e59,
+    0xb192348e, 0x823b90db, 0x377b69ae, 0x4f674238, 0xeac86f39, 0x6649c34f, 0xc2ff7b94, 0x3d2d264f,
+    0x43fda8d6, 0xaa90d792, 0xbb086f25, 0xbba61168, 0x73de3c76, 0x9a71502f, 0x14f45eec, 0xdf05290f,
+    0x58fd15af, 0x426f374c, 0x07ec5877, 0xb5e74532, 0x83458437, 0x1fd63bbb, 0xcb9ef6c7, 0x15ebbbc4,
+    0x6062ab38, 0xf4f9e49b, 0x1c18ec16, 0xc40f5293, 0xffc96a7f, 0x15c50e25, 0x91acb446, 0xb045d173,
+    0x1eed68cb, 0xc2fb7afe, 0x2b62aab3, 0x0ef5d81b, 0x78e9c2a4, 0xfeb71ef1, 0x2b8331ae, 0xc889c6d2,
+    0x6c81c8aa, 0x5a415054, 0x16a778bc, 0x3bf3ee34, 0x07b5e1c5, 0x0616c03d, 0x42f11d14, 0x2a00b4d6,
+    0x55314632, 0xe3fc79c0, 0x2ebc08f9, 0x9507ae1d, 0x47c43f8c, 0xaf5ad034, 0x0ad19e8c, 0xdca01ae9,
+    0x539426fb, 0x7afda47d, 0x88d0a1ab, 0x0922f5c6, 0xcedadd93, 0xc25b1909, 0x4591e846, 0x7bd75960,
+    0x592bab1c, 0x8edb0c34, 0x0797c9fd, 0xbcad2e90, 0xba5fcd10, 0xc77f1b81, 0x58a13067, 0x8dffb5fa,
+    0xf7a39e47, 0xf4fc771d, 0x944bea6c, 0x11466ba5, 0x4753fe1e, 0x262bcb9b, 0xf1a34685, 0xe8beeeb9,
+    0xbfacb266, 0x7d3b30c6, 0xa4a8d336, 0x5ea692bd, 0x3f41bbfc, 0x9442e10c, 0x7bc34bc0, 0x30c3ca7b,
+    0x85079132, 0xd0408e10, 0x0c4bbdc0, 0xb7bcf17d, 0x71000cdc, 0xa0dfff93, 0xd4363d50, 0x8a9a4f59,
+    0xd082e10f, 0x52be0b4e, 0xaf1a6fa6, 0x46d33e57, 0x21385a8f, 0x82915e74, 0xfc18255c, 0x4b9b8d6e,
+    0xb1adce7d, 0xcb046e97, 0xf3a75ac6, 0x9ed517b2, 0x84e89303, 0xc61576c0, 0xa34cccfc, 0xe035787c,
+    0x9fabbbe5, 0xbfd89578, 0xa2a3b9ed, 0x6171447a, 0x09852411, 0xd6f80a82, 0x7b190730, 0xc60eb4ca,
+    0x577d0814, 0x9e669cd2, 0xf6ee5952, 0x07d4d405, 0xf7657699, 0x1a4bb4d8, 0x0d22017d, 0x097628df,
+    0xda3c8511, 0xd2390ef6, 0x240ddfe5, 0xe4f105ba, 0xd93b1d47, 0x767c979b, 0x22db71ff, 0xd7105c35,
+    0x271ccc13, 0xcfa6c881, 0x29f2596f, 0xba820ad2, 0xd0c50835, 0xb25b68ae, 0xc0c56d68, 0x1e3fc882,
+    0x4b4333f6, 0x5af0fc46, 0x1bf0b9f1, 0x7f5f8e5d, 0x5f5b47da, 0x7530303c, 0xe3a08162, 0x42952163,
+    0x77598459, 0xbaa074a2, 0x31ad5f60, 0x4cba0e25, 0xce3d3773, 0x7069fda6, 0x6b5f4708, 0x92e8b950,
+    0x70e0d334, 0xfc0c8d51, 0x54930f0d, 0x1419cb4b, 0x9f5fae3b, 0xe8527d88, 0x2e1a8104, 0x3eee0dd1,
+    0x2815f206, 0x0df4dc22, 0x7419ba88, 0x90689549, 0xa896b786, 0x0a48d502, 0x94d1c4d6, 0x8f064378,
+    0x7270aaea, 0xdb41bfdd, 0xe550e00e, 0x385fab0b, 0xefbd179b, 0x407e470c, 0x79bda5c9, 0x86303ed6,
+    0x2686ae4f, 0x87dcb21a, 0x9b33f613, 0xeabbe8a0, 0x91c37b86, 0x21461b49, 0xe6e30e74, 0x53e18252,
+    0x0c145202, 0x669cc323, 0xd604fdb0, 0xd9f9306f, 0x66cc081c, 0xd97f4a22, 0x1912f635, 0x59b389a1,
+    0x6e83b551, 0x0cbb829c, 0x12525119, 0x07ae55ec, 0xbc1b1a70, 0x50e8bf79, 0x420082aa, 0x8ebceab2,
+    0xe0eb0eb3, 0x9623f610, 0xa6dd4fb9, 0xbc805219, 0x54df351b, 0xb6e51189, 0x71f089dc, 0x11d58e8e,
+    0x880db627, 0xf94b1b99, 0x0376d69a, 0x9efc5b6c, 0x7160fbc7, 0xdf3a4ce1, 0xc6177ada, 0x916a0494,
+    0xf44db61c, 0xe62f77de, 0x7cdbd4f0, 0x25a27289, 0xfcd0855c, 0xccc360e1, 0x22d089ae, 0xba73b8c3,
+    0xf565347a, 0x02542e37, 0x746ac6fe, 0x23de4170, 0x6a5c68cb, 0x0f4884a2, 0x2b793171, 0xa8635d44,
+    0x0aed8d69, 0x434dd054, 0xf519515b, 0x5a24491e, 0xe053665c, 0x4444740b, 0x323f2e04, 0x5b1d8729,
+    0x20c4113c, 0xd1b27c68, 0xf1a14fbf, 0x0c9d3b8c, 0x2f0828dc, 0x3c614736, 0xb65932ef, 0xc3637106,
+    0x1de1f617, 0x59cec7d4, 0xa1e644ce, 0xc461189b, 0x2fe50e23, 0xd11f89b2, 0xa0807b4a, 0x9b43a27c,
+    0xb1d7c8f4, 0x449cc3c6, 0x4dc27737, 0xd72514ce, 0x081a0b2d, 0x135b35fe, 0x6874d4f8, 0xa2578796,
+    0x26beae40, 0x8db79867, 0x3da9e6b9, 0x24c46f88, 0x25959a10, 0x6d4bcc36, 0x8f60b9e5, 0x18cac4e0,
+    0xacee87aa, 0x2777a72f, 0xb359b4fc, 0xfbb9bfe8, 0xc7867111, 0xa8d611eb, 0x33954e1e, 0x26c0c589,
+    0xaa023e64, 0x72931f1a, 0x3793714b, 0x6aa15420, 0x8a35b251, 0x9dd336a0, 0xca2107fb, 0x8616c448,
+    0x616332bd, 0xaafe1122, 0xb6855427, 0x3bde6ff7, 0xbf8458e0, 0xf2abe1f9, 0x90add087, 0xf4aa2f30,
+    0x4109c90b, 0xef1bfea7, 0xa63ebb5d, 0x151de983, 0x3b54fe74, 0x2b8d794e, 0xc6c180dd, 0x65ef04a8,
+    0x7b25c97a, 0x9909697e, 0x50a566e1, 0xc4d52bb7, 0xfbb4fdac, 0x75795cb9, 0xb6f219ee, 0x7ea0763c,
+    0x4954ad8f, 0x2a7dfcdf, 0xa3e8afe4, 0xde9acafb, 0xc5f1adde, 0x9edc4351, 0x90ee59ee, 0x5be179de,
+    0xe02d3bb8, 0x5e62b01c, 0x690523b0, 0x68c75b59, 0xbe288171, 0x1bc02bc3, 0xd0e95fc3, 0x5b88093e,
+    0xdbcfc3f9, 0xa0e1376e, 0x274ef5b2, 0x1ff4dea8, 0x78bcedd7, 0xfc250a71, 0x04b9f557, 0x7f7a5dc1,
+    0x505ceb3a, 0x71b51d05, 0xd89f647c, 0x3c8b27e2, 0x3bf734cc, 0xa7a686dc, 0xd9cacd2e, 0x39af8c9c,
+    0x0cba0079, 0xf0a7dd14, 0x3071aaa2, 0x09b2927e, 0xa3950f8e, 0x73d3450d, 0x2c810868, 0xb55b0443,
+    0xe2a13a72, 0xd7b761ff, 0x9dc0303e, 0xcd803974, 0x52c4f21f, 0xff9cfcde, 0x52e4e2e0, 0x18482355,
+    0x39d574ff, 0x94671c28, 0xb0f7100f, 0x971ffdbf, 0xa21f8014, 0x5fb12c6b, 0x3607b8c9, 0x958061c2,
+    0xcb0ed47e, 0x79297f82, 0xe57cc59b, 0xe24f435f, 0xd330adce, 0x7c5bce78, 0x61f999eb, 0x9eecb0bb,
+    0xf6c9d537, 0xe97608de, 0x235f8b69, 0xb89d618b, 0xe12ce2e1, 0xa48a695a, 0xf429ff12, 0x8a1461e3,
+    0x9126362b, 0xc6dc3fbb, 0xcd896e39, 0xdb1e2e29, 0x40a653d6, 0x9bd3baad, 0xf7ca8d61, 0x45f192f6,
+    0x6c05116f, 0x782775c3, 0x4b5ca9a3, 0x59425322, 0x5d85ee70, 0xfde09cf2, 0x8ceb1ba4, 0x356a1908,
+    0x2700fcef, 0xd2d65075, 0xe3c865f4, 0xa4605b31, 0xebf3644c, 0x9cc41c22, 0xd32bd5d1, 0x0dc55b24,
+    0x58bda05f, 0x932e2d50, 0x0f5d310c, 0x5d909584, 0x9042d0d2, 0xccac44b8, 0x45df9660, 0xa84f83cb,
+    0xde49f5e8, 0x35174dfa, 0x76fc2de8, 0x4d3ab471, 0x0ddedacd, 0xb6ceaa6e, 0xad18b757, 0xfe2acdc9,
+    0x1991aab2, 0x35783633, 0xfc250a78, 0x62ca02ba, 0x30fac682, 0xe7ff930c, 0x97acf8e0, 0x408e6f15,
+    0x583a9893, 0xa6dc3adf, 0x31eb5bee, 0x6caa8a45, 0x2753a676, 0x0183ea12, 0xed24179f, 0x7224bc64,
+    0x0ea7c738, 0x9dab46f6, 0x621c1b85, 0xd03bbff0, 0xdbf3182a, 0x9c82d683, 0xa6e11e49, 0xf33f961b,
+    0xb66e44ca, 0xda22dcc2, 0x24c38eab, 0x82ae094e, 0x10e4f44f, 0xed30e06e, 0xfcb03316, 0x5cc5bb6a,
+    0x977558c6, 0xaa53a7e0, 0x653919c6, 0x4c61b90a, 0xaeeca9f2, 0x5f2dea8a, 0xe1d48592, 0x185cfe25,
+    0x646a9577, 0x0e0d9218, 0x1688c5d3, 0x7ae1ce23, 0x981eee61, 0x3d4222d8, 0x0526aed2, 0x3b20f206,
+    0xd6c995a1, 0x762684b5, 0x0056f4c3, 0x254b606d, 0x518a9517, 0x676d4ece, 0x31c5e2e8, 0x4100d362,
+    0x16b8ff0a, 0x0e52dc4e, 0xaf53c8c9, 0x9d45b3a3, 0x19b2091f, 0x825ed8b0, 0x0b7fa44e, 0x5f52f231,
+    0x4d1231e0, 0xb69025cf, 0xa8dbe29a, 0x59a14472, 0x64210138, 0xa2853212, 0x0b39a14d, 0x0bf441e8,
+    0xc82d4a8c, 0xe6aa8ac0, 0x282769cd, 0x6dec16e2, 0x52c6edbd, 0xc39d1f1a, 0x8b496a2b, 0x3866dcbc,
+    0x4db69e32, 0xd2352c41, 0x2fb60931, 0x45a28107, 0x97e9f2b2, 0x48742864, 0x73818a84, 0xae8c6505,
+    0x8b93be18, 0xc3b1a8d9, 0x3daf3f05, 0xd7da6510, 0x5a3704ac, 0xe2857491, 0xfb48c666, 0xfda747d9,
+    0x5d65228b, 0x66e99057, 0xee0bd0e3, 0x1b1179c1, 0x19e8b71c, 0xa397e63f, 0xe9319614, 0x3193e212,
+    0xfc71095c, 0x908df77a, 0x4e63429d, 0x0913796e, 0x7b6cd424, 0x00534a9e, 0x66a53f28, 0xd4ae37dc,
+    0x33e8ceeb, 0xe58f04fa, 0x991a77b0, 0xb9401895, 0x78aa2e45, 0x9d7584fa, 0xe3a08ce6, 0x29174cca,
+    0x66b19365, 0x0226b10f, 0x1334efc8, 0x9307d7cf, 0xf10e6e52, 0xc43275ee, 0x6e0656a8, 0x41f2d3c2,
+    0xaa29199c, 0x7a6ccac5, 0x50be9583, 0x1862291e, 0xc690b2e6, 0xeab565bc, 0xfddb5df5, 0xa5dddca1,
+    0x00000000,
+    0x57edfe9a, 0x3715fc92, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000010141204801825835211973625643008 */
+  { 0x00000000,
+    0x357164ff, 0x8f6f9b01, 0x09e8ddce, 0xbccfd030, 0x62b97036, 0xb1da5030, 0x0c2292a7, 0x339cf0ca,
+    0x5288809d, 0xb16ba138, 0x13abd72e, 0x55fc8e20, 0x56756237, 0x1e29bd42, 0xb8c19a7a, 0xcee7026f,
+    0x3dc1bf36, 0x4401b29b, 0x8a804542, 0x92b5d5d5, 0xfeafa017, 0x6d095e35, 0x6623a4d4, 0x2ec72b00,
+    0x0f7b9625, 0x7312a843, 0x31663b85, 0xfb9ccf31, 0x787d98d9, 0xa1f1caf4, 0x000708d4, 0xe07a4e05,
+    0x668fc219, 0x63e0f514, 0x5f9504f2, 0x5b2738ad, 0x3a14ecb3, 0xc51d36f7, 0x840b98af, 0xebeba152,
+    0x4dd3460d, 0xcd7b1abd, 0x8f0c37e2, 0xf68878d5, 0xe0db5ed1, 0x2a87702f, 0xb27a77ff, 0xa6512025,
+    0xee97c3d7, 0xc19256a1, 0xfd66c9d5, 0xf51f7b79, 0xd6c25e83, 0x2ecf2456, 0xe7d9ac21, 0x17c9f7bb,
+    0x96d967aa, 0x3afde182, 0x8c8907a3, 0xbbee8488, 0x84b8ccc8, 0x8256f036, 0xe720a144, 0xde7d1878,
+    0xd98f72c8, 0xef7e4026, 0xcb2fb4e9, 0xfe78f7dc, 0xf16c6433, 0x8ac821ba, 0x862d3f47, 0x39cbbec5,
+    0xc8e2a5f8, 0x9bda1089, 0xb264c843, 0x459b4c36, 0xf13a8dea, 0xfd25014b, 0xc5075923, 0x2d0f7c34,
+    0x338b00d0, 0x0d3266d9, 0xf4b2fd45, 0x57fdcdd0, 0x1abeafcb, 0x4fcfb978, 0x2e3efd92, 0x5e6f8ce9,
+    0x3bbec5dd, 0x74784fe2, 0x6c122b5c, 0x72bcb0ac, 0x6d6854cb, 0xa1958ae2, 0xa777c0ce, 0x964ea159,
+    0xeb72b30c, 0x6cd2703f, 0xa9493e15, 0x8381885a, 0x2ab48e87, 0xd9004fb4, 0xab3d14c8, 0x6df14221,
+    0xe9c03ec9, 0x9a2eaac4, 0x0d1fae3e, 0x6d4268f9, 0x4c2016a6, 0xdf31a215, 0xdac68b45, 0x45a1a3ec,
+    0x0c1a2204, 0xb136a627, 0xb9a4f4b7, 0x7c5c15df, 0x2e8ab046, 0x25b60b94, 0xc6d89b76, 0xd095ab27,
+    0x4b3233f0, 0x70060758, 0xddc3dcea, 0xda091df8, 0x9278bd96, 0x27d599d8, 0x19f609c8, 0x1e90005e,
+    0xe1348312, 0x2b9296c6, 0xd805b05a, 0xc3361853, 0xd66977b0, 0x722f5e22, 0x7ad30e91, 0x10203b02,
+    0x1e8be521, 0x44991dbd, 0x9c2875e0, 0x66326312, 0x06931153, 0xc112486c, 0x61851714, 0x5a2c3254,
+    0x1f74f811, 0xf3754bee, 0xbbe58642, 0x4aac296c, 0xbba6153b, 0x347e8ae7, 0x688ea326, 0xf30dd559,
+    0x97bf59b4, 0x383493f0, 0xc127d25c, 0x812e72fb, 0x1fd6eeb2, 0x9011c34a, 0x8c309e1c, 0xfee2386d,
+    0x346135d7, 0x6a13d845, 0xf495e295, 0x27141ce4, 0x8405bfe8, 0x783925d0, 0xcde39959, 0xe956e272,
+    0x0ad3d2e4, 0x4cb05e6c, 0xffb2f0bf, 0x62e1d413, 0xc375bb0d, 0x1befa0f2, 0xa0be4889, 0x5d735a30,
+    0xa59ad463, 0x4c0b12dc, 0xe5f27aeb, 0x98976259, 0xe30a5ac5, 0xedb7c7b9, 0x805193ee, 0x2ed10950,
+    0x1a7ddb38, 0x08f012d5, 0xbe85c987, 0xbd9c1196, 0x9539e87d, 0xa4b096c0, 0x5963778c, 0xc205aaa5,
+    0xfeb5a3b0, 0xdd2f74b7, 0xf6c89bba, 0xcd49bc6e, 0xcb6d43d6, 0xace9b170, 0x1a7c3611, 0x72311ac2,
+    0x56cced09, 0xf4e15466, 0x9e20d103, 0xb689556b, 0xbc4ae081, 0xbe42dc32, 0x732c004e, 0x3f2f8ea1,
+    0x19289a21, 0x7ba88543, 0xd74c6401, 0xd9b8fcb2, 0xc8295e1e, 0x351a6a42, 0x3ec524a9, 0x047a8774,
+    0x994ade7d, 0xea53303f, 0x3a8d98b9, 0xb9b874b9, 0x88a38919, 0x6ae70fa3, 0x783ed371, 0x59ef1830,
+    0xcd53f853, 0xdb8a9a9c, 0xb97da805, 0xf8f4c0f8, 0x2de3758a, 0x732ceabb, 0xb69b682b, 0x66ca03e9,
+    0xff5ce39b, 0xc063c594, 0xad1f84f5, 0x71c9a7c3, 0x39e78d40, 0xc6674576, 0xe4c4f3c6, 0xa8b0bcad,
+    0xb6ceb6ce, 0xb29f5eaa, 0x726d3dce, 0x71847e82, 0xe6bce7b2, 0x30a4dd45, 0x0d941f9a, 0x6a82d146,
+    0x9cf5097c, 0xe9e53799, 0x9ad2730e, 0xfb59d854, 0x64403164, 0xe07eabb7, 0xc0609ea3, 0x98649c08,
+    0xd2ea121c, 0xc06bc057, 0xc33cec20, 0x0b4c7420, 0xdd6b3432, 0x1b5cc644, 0x46dc5aef, 0x99f6a6c7,
+    0x6be504b9, 0x77075807, 0x78299719, 0xf8690df5, 0x6d04c3a1, 0xfbceb609, 0x2b178c8d, 0xd31c4075,
+    0xb79dfb0f, 0xa104938c, 0xa357ad57, 0xa24b3bf9, 0x341eb492, 0x1c3a6080, 0xfbb2e087, 0x0d479b57,
+    0x01c8fa94, 0xbe03cd2a, 0x2f749460, 0x8066f35f, 0xdea923e7, 0xab6a5632, 0x3f2b3865, 0xcd207147,
+    0x209d3b0c, 0x89779e6d, 0xac44776a, 0x0f54c0a0, 0x9a23f5cd, 0x6aa2ec8d, 0x5ae70e42, 0x2cacbab6,
+    0x8b05d541, 0x56b522c6, 0xc8bad818, 0x43a5ee7d, 0x61977edb, 0xfd16f653, 0x953aeb28, 0x7ce76b90,
+    0xb87a939d, 0xe65fb87f, 0x7842830d, 0xcdd91b11, 0x323bf7e1, 0x7872d276, 0xe07a4418, 0x56284e42,
+    0x12230172, 0xc3bcb4f6, 0x3fb98ccf, 0x61390584, 0xc803040c, 0xa434cf48, 0xe06fc823, 0xce31cfce,
+    0x57d89817, 0xf4e7a2dc, 0xd0785c09, 0x760bf287, 0x04abbdd8, 0x27b9c799, 0x210a89b7, 0x492b07fe,
+    0x7d97517c, 0x6607ae16, 0x91d87f4e, 0x5c07ab6f, 0x4f3b16e9, 0x7c5a04ae, 0xd1397aba, 0x1ea2fa0d,
+    0xeb03a396, 0xba32ee6e, 0xe274e3d1, 0xcd93a9dd, 0x02feb778, 0x0eb30f3e, 0x9dd5e146, 0x1dbc6560,
+    0xb730496f, 0x6eef4a2c, 0x17620102, 0x976b3580, 0x35f911ac, 0x8e395f3d, 0x89a402c0, 0x046c4711,
+    0x9e16c981, 0x78f5338a, 0x035eb9dc, 0xf00a6610, 0xc5a2feab, 0x51d63bdf, 0x2947f009, 0xb00040a9,
+    0x3bf7c96a, 0xf3525686, 0x9ba4dbd8, 0x4c72a058, 0x2430b6cb, 0x1b311c08, 0x425a722f, 0x2268709c,
+    0x69efc9bf, 0x19080da4, 0x5398a276, 0x332d8dff, 0xb95e49d3, 0x321a70b5, 0x1b648568, 0x9d633ae1,
+    0xcdf84367, 0x4c0b8ee7, 0x9bb718f8, 0x3f885b27, 0x6455e4be, 0x0d646a03, 0xd94e8ea5, 0x1c1e5afb,
+    0x35526b16, 0xadf25e24, 0xce2c8b9c, 0x35130877, 0xafb89bb2, 0x9e485ec2, 0xf0880bc4, 0x7677e3cf,
+    0x473dff51, 0x8a77599d, 0x12d6e7c0, 0x58c337f3, 0x7bcef322, 0xe34ed7a9, 0xc3f681d7, 0xf8821274,
+    0xbc93e0aa, 0xc78cb2b4, 0xb6893ba8, 0xed6232ab, 0x32b5c50d, 0x3da43698, 0x43e6daad, 0x56fe93f5,
+    0x0e3750f0, 0x3a8deec2, 0x78ed3f61, 0xe37edb21, 0xe49fea3c, 0xe00e3eb1, 0x61571c5a, 0xa8779cad,
+    0xaee9e5e8, 0xfd8930f9, 0x9112cef4, 0x309c9adb, 0x7bb0a34d, 0x3d14cc3e, 0xf5461281, 0x9250dd00,
+    0xc813f76f, 0x151b43d5, 0xe327ac31, 0x876fc40f, 0x4c535aa5, 0x3e30ec10, 0x777187f2, 0x4a9644fc,
+    0xfe1d66cd, 0x47732eaf, 0x53ad074b, 0xb139b45f, 0x93c9d331, 0x59a43fb2, 0xee44788c, 0x37c23c9e,
+    0x9c7ed51c, 0x25e0c74b, 0x372419c4, 0x2238589e, 0x72c2c7e5, 0xf335961e, 0x3862e80a, 0x1c735c5d,
+    0x4eab7ff6, 0xefb8cd36, 0x8b18f591, 0xcbf6b532, 0x26a1d8b9, 0x025b4303, 0xf301011f, 0x1be89dfd,
+    0x72f0ebc8, 0x43246555, 0x91961523, 0x3fbda876, 0xd6bb8901, 0x02d349a6, 0x4944ce19, 0x85acd461,
+    0x7db31f84, 0xfc4bb800, 0x146ca595, 0xc023f130, 0x15c0e9d7, 0xcc7fc7b4, 0xe00766cc, 0x910070f8,
+    0x10a6ba6f, 0x1f79abcd, 0x6206be67, 0x09cb279f, 0x5e51c3cf, 0x8ef77657, 0xc5568c95, 0x22aba7c3,
+    0x7c9432c6, 0xa9c8e745, 0xd2e9c9f9, 0x55b8b87c, 0x606aaced, 0x9b3fe3cb, 0x324524bc, 0xdd37a0b9,
+    0x21cca45a, 0xf6b3f006, 0x623a58c5, 0xe11d27bb, 0x3fe6c938, 0x53a1fba7, 0xaead6975, 0x77ffc2b6,
+    0x40dd924a, 0x26af108f, 0xf026dec4, 0x76b6b792, 0x23472c4c, 0x95b75eb5, 0x36ad5ba6, 0x98b29641,
+    0xb18e071c, 0x6466a7a0, 0x4e38c613, 0x4b496c82, 0x81147581, 0x503ec511, 0xf165a386, 0xc6845b07,
+    0xd25d93b5, 0x59d3cc9f, 0xaafe9de6, 0xdfc0a406, 0x6aa0d525, 0x68938214, 0x4c643090, 0x9613540f,
+    0x8d7f0626, 0xa50b9ea3, 0x23764e93, 0x86010c60, 0x28fb8a81, 0x28a232c2, 0x789b8e13, 0xcaa3df3c,
+    0x9f35c123, 0xa28e9473, 0x2268fe3f, 0x632c0263, 0x1eeeb30c, 0xd3192096, 0x9795134d, 0xee9c7347,
+    0x9dcba2b9, 0x998e6d7e, 0x221e02f1, 0x0788eb67, 0x6ebe2367, 0xec6eef07, 0x5c286bd9, 0xdb464540,
+    0x56255454, 0x20b0e2fe, 0xf1ec0c42, 0xb181530b, 0x5a4a3f9e, 0xfdd77610, 0xba37300d, 0x62b5692c,
+    0x65c57e62, 0xd28babc2, 0x0a7179a9, 0xc3aaf155, 0xf57a3822, 0x85ddda09, 0xea45abcb, 0xb8c38ae0,
+    0x13854d62, 0xc1965058, 0x374909ed, 0xe520d10a, 0x7a8daf20, 0x1fab966c, 0x21150705, 0xd4998414,
+    0xfebd307f, 0xfa5b93be, 0x56303859, 0x4e01bf10, 0x0752caf3, 0x757411d4, 0x4742807f, 0x2becefba,
+    0xb9f01714, 0xbf7323d1, 0x09e13ea9, 0x92598973, 0x20854897, 0x164e71f2, 0x2b8b3743, 0x1ed3c912,
+    0x1ebaee3b, 0x5bdecb2f, 0x9a4f520c, 0xad734e06, 0xda9b1d0a, 0x4989f6ff, 0x78158e73, 0x724707fe,
+    0x5413de6f, 0x454a09b8, 0x90962429, 0xf57c33c1, 0x0d483070, 0x026cdfab, 0x005f1ac6, 0xf1cf69b7,
+    0xf1d8e604, 0xfc303b89, 0x60a3fbcb, 0x018df659, 0xd329884a, 0xdf2c2983, 0xe0fcc9a9, 0x2eb7d1e0,
+    0x77c62872, 0xe8e75501, 0x65db96dd, 0x964ddaab, 0x1b9e2697, 0x68547cb0, 0x89b07270, 0x128de835,
+    0x5d9b77e7, 0x50432af3, 0x8cd7a5df, 0x33d24698, 0xd09e997a, 0xbe9e2ef1, 0xf79e10af, 0x444b9f52,
+    0x748e0496, 0xf4c0bbfe, 0x36e32eb8, 0x234160c9, 0xf244a0c5, 0x60aafe18, 0x37164629, 0xe23e867b,
+    0x57f68e18, 0x2368c9f3, 0x681b0291, 0x4a81e31a, 0x396a78ce, 0x40d8c7b3, 0xfe195d22, 0xecab1e54,
+    0x478f63ac, 0xb5159dc0, 0xfc467561, 0x260846f6, 0x131db0e4, 0x87c1217d, 0xd4f65fd1, 0x3a2fdd6c,
+    0xf6063e60, 0xf3cd565b, 0x0b6dd70c, 0x725ca361, 0xa0a697ab, 0x6b0f84e9, 0x28bad532, 0x9dcd921b,
+    0x915d1cf2, 0xf9f23517, 0xd155fecf, 0xf5eeacd3, 0xeb7cfdca, 0xe411c2e4, 0x2a592e38, 0x7ea01bdb,
+    0x05cfd691, 0x2bb7f96b, 0x11010970, 0xcd0bceca, 0x7671980c, 0x0b08a7ab, 0x1dedddfa, 0xb99034c0,
+    0x49a5e9a3, 0xdd56fd74, 0x1e7d4659, 0x450909de, 0x25dac8e3, 0x5e9366e7, 0xe5d52240, 0xe0b10bfc,
+    0x109ff7c1, 0x4bf0429e, 0x959498ea, 0x76b0252a, 0x92a30ec7, 0xe13322c6, 0xdf646c35, 0x388ccf17,
+    0x3707aeba, 0xa83ddb72, 0xd198a18d, 0x1750d471, 0x0ddb0877, 0xaae70ce8, 0x963a4d84, 0x88b542f9,
+    0x50fba4f7, 0x413820d3, 0x279f5821, 0xc7203bcb, 0xc8f37c4f, 0xf5d177d1, 0x6b550857, 0xbaea5553,
+    0x00a3934e, 0xf2aa287b, 0x29babda5, 0x3ba51c99, 0x44c08eb7, 0x1fd39719, 0x12fca92c, 0xdaf13f8f,
+    0xcec29f07, 0xe787df9a, 0x3fef259f, 0x4661125a, 0x43705be4, 0x7a78ac59, 0x490debf0, 0x0cd43521,
+    0xf28ba5db, 0x6603acbd, 0xa5c19e63, 0xcb2346df, 0x39125b80, 0xfbd297fe, 0x47648fc2, 0x9e103d35,
+    0x3bd3304b, 0x639ee5a4, 0x7deace1b, 0x3649fbdd, 0x610130ca, 0x28eb81b4, 0xf5420c5e, 0x09723b72,
+    0xc521c437, 0x0e588c09, 0xd917d459, 0xbfcf012a, 0x63b8dea3, 0x192dfcd8, 0x823b5247, 0x975918fa,
+    0x28f18435, 0xe37a8576, 0xff118ef4, 0xd53cd380, 0x3d7b3678, 0x00e0dddc, 0x512cc9a3, 0x41f311c8,
+    0x88d38b55, 0xff4a0349, 0x712dda49, 0x50a93e69, 0xbfef6594, 0xeedb68eb, 0xa4b6cb08, 0xd644c24a,
+    0x4a73ed28, 0x2b26c623, 0xd2554f53, 0xa3b06177, 0xdeeaf706, 0x74bd150e, 0xb27124c4, 0x924385e7,
+    0xae2a6847, 0xf922decd, 0x33833311, 0x0016cfce, 0x815c1005, 0x5894d372, 0x00f593a8, 0x9da1a043,
+    0x2925b4f8, 0xe0bcec94, 0x1a8a1c16, 0xe4a73352, 0x9c6e9576, 0x478fdfda, 0xb68f6917, 0xd66a9fed,
+    0xc2927b00, 0x758aa88e, 0x74ed8345, 0x3d97093f, 0x91b12219, 0xd5c9511f, 0x1c0d73f0, 0x710b2dde,
+    0x63486a0f, 0xa996051e, 0xc39afe78, 0x22e4cdb8, 0xf4f80589, 0x546b7d33, 0xf2611489, 0x3fe8e6f1,
+    0x9aa9e493, 0x36e6843d, 0xe238380f, 0x47fa650a, 0x203e514e, 0x833cfa91, 0xd943262a, 0x4cd112e8,
+    0x8d3b4aa9, 0xda2e6a66, 0xd921fbd0, 0xb85af1e7, 0x63a8b951, 0xc3c19588, 0x62e091a5, 0x6fe7e0a3,
+    0x3d876c0c, 0x861a8019, 0x05ffc4c7, 0xb6d4abc2, 0x9513cba1, 0xe2d39dcb, 0x14af5aaf, 0x253fa943,
+    0x6bc5208f, 0xfd6370c1, 0x06e11b5d, 0xb7a64d97, 0xd4c7e8f8, 0x929ac7e8, 0xd99e5657, 0x62854468,
+    0x98205eba, 0xf2761bf3, 0xe04fd576, 0x6d08a62f, 0x47de4282, 0xf9798a38, 0x5d673420, 0xc3748b99,
+    0xc5ebea92, 0x927f79f8, 0x9b5054fc, 0xf767bfe7, 0x4e40eb92, 0x0ee35f43, 0x3d90f23b, 0x4ddfa24b,
+    0x95cf7b01, 0xdd213b39, 0x1e7aac17, 0x1ae6d71d, 0xc2f593b8, 0xc772fab2, 0x590300db, 0xffc9a98e,
+    0xa13bcf86, 0x45452c65, 0xa4d47f80, 0x4326ca52, 0x6e09842d, 0xa9ef1dbd, 0x8107a18b, 0xd3ca7f3d,
+    0x2d4a42db, 0x459c22cd, 0x0a291622, 0xa3b8b13a, 0x15fcdd1c, 0x45d5b6cd, 0x50eb33ca, 0x19a3b825,
+    0x72137bef, 0x5466701a, 0xb60db484, 0xc6896999, 0xd7eef76c, 0xd4a05bca, 0x037dc35e, 0x673a64ca,
+    0x38f03d00, 0x8d3567f6, 0x370a2a70, 0xab3a15ab, 0x240d0a50, 0x76a3b19d, 0xd091f7bd, 0x6aada999,
+    0x6b86fca4, 0x92216005, 0x868a17e3, 0xdee6143e, 0x49a603e1, 0x7710c672, 0x1244e95a, 0x66fb080e,
+    0x579e0150, 0xd0bddc6f, 0x9044f9a4, 0x0c7ec046, 0xaf386d43, 0x41e342a9, 0x8291c1d7, 0xb1082e30,
+    0xd732e596, 0xd45a6471, 0xc8a00d02, 0x0b4313c5, 0x9347194f, 0x88412144, 0x9c1897cf, 0xffb673e9,
+    0xd2bf2f46, 0xc2853dc2, 0xc08ab64f, 0x8c494fac, 0x7ecd65a8, 0xc8ee6683, 0xc7831296, 0x555e9ffa,
+    0x7dca88d6, 0x04f298e5, 0x276e15e9, 0x69d2f6a1, 0x817d61a3, 0xc718593d, 0x89deef1b, 0x88fb5963,
+    0xedc0cc01, 0x5385bf52, 0xf8d69bbd, 0x85d91507, 0x635b3a84, 0xef6e2646, 0x1e60634f, 0xf00641af,
+    0x3c6b4a16, 0xa02e4a6f, 0x83e54e33, 0x52041743, 0x8d11eace, 0x959006c2, 0x4074ec64, 0x2b79c2c2,
+    0xddf28ef9, 0x544dccf3, 0x8d1790de, 0x802a5683, 0xf88d1043, 0x445cf054, 0xec516586, 0xceaaa8e7,
+    0x346c2838, 0x633a2fad, 0xe21be855, 0x470cb5b4, 0x84a45c40, 0x6b5161de, 0xdb9dd52b, 0x872e6ad0,
+    0xa05fd801, 0x3276fde4, 0xb99f776f, 0x7c26edcd, 0x8a9c18e0, 0x793013e6, 0xef328424, 0xe6997ae3,
+    0x982a98ef, 0x65b2a535, 0xdc93cade, 0xef2bc5fc, 0x9f6695c5, 0x099c9791, 0x72308ff4, 0xfe2b4782,
+    0x4cd53197, 0x44b5c85a, 0xf35cc521, 0x5d77a777, 0x1bcf7d8b, 0xe0da7c36, 0x87169cf6, 0x00c07a04,
+    0x49996d76, 0xb9668ce6, 0x46ffe687, 0x843d0c22, 0x3416b4e6, 0x967fc306, 0xd0e969fe, 0x070f31f5,
+    0xcde6cb25, 0x7a1489ca, 0xbc25d970, 0x48540b92, 0x62c91b51, 0x4723f372, 0x9da64540, 0xc7fd3e27,
+    0xbe234666, 0x04b9967d, 0x704bac94, 0x4d31ff37, 0xabe93e96, 0x1d79910b, 0x276ac223, 0xce10112a,
+    0x00000000,
+    0x2bf6ff4c, 0x1b8afe49, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000005070602400912917605986812821504 */
+  { 0x00000000,
+    0x1a2f4d65, 0xcf9b2445, 0xf1c8558b, 0xd01ce76c, 0x503fc1d5, 0x3e2987dd, 0x9c372428, 0x3bd96863,
+    0xd09c2838, 0xd766fffd, 0x2cfc7bf0, 0xe520dc0f, 0x5dc27fc5, 0x4e78fed9, 0x9314e2de, 0xe6cc78c5,
+    0xdbecffc4, 0xa9aa3e61, 0xb4875796, 0x5c5a1da7, 0xa560a5b7, 0x205b0db1, 0xc6ff60ad, 0x6332f974,
+    0x5e0a3ca2, 0x279ea202, 0xb9874815, 0x281c6d05, 0x16776546, 0xb3d14b90, 0x927a5dda, 0x6ff41cf0,
+    0xc535486b, 0x60e447c2, 0x02cecd48, 0x5b0dcf12, 0xe938a642, 0xd805c469, 0xcf1f740f, 0x23e7f6ea,
+    0x7a7e9c35, 0x1b753e46, 0x61fa0363, 0x6f298daa, 0xaea0a116, 0xf40535ea, 0x80ea9a56, 0xf6cfff8e,
+    0x35543f61, 0x33bb7c87, 0xa93b1bc1, 0x6f8ec27c, 0xbe65d5ae, 0x7cc43fcb, 0x46479b0f, 0xb6a3eec7,
+    0xbd922ae8, 0xaf1dbaf0, 0x68166810, 0x18f7f644, 0xe0178e14, 0x6090ddfc, 0x6133c033, 0x1432473f,
+    0x1b450857, 0x719677cc, 0x30349fbc, 0x5cf7e2b0, 0xdc177d27, 0x0f298ccc, 0x2693a7f2, 0xdfe63f9e,
+    0x056eec01, 0x98f1e4f2, 0xce434594, 0x39a915a0, 0x0db00eb1, 0x8954dda1, 0x4493e0de, 0xb6a2112c,
+    0xebb9a8be, 0x12991fea, 0xe80b6fc9, 0x1b7f9294, 0x9f117efd, 0x18232072, 0x667d8298, 0xd7ab876f,
+    0x469080d8, 0x0aa686dd, 0x3396b4cb, 0xada0d975, 0x5a6c40f1, 0x3d0d1a1b, 0x0066ceca, 0x9013660f,
+    0x5b68c833, 0x1e853f44, 0x96820df3, 0x10ae7ddd, 0x02bc3a53, 0x76fb5531, 0xb4af0b8e, 0x4ad6839a,
+    0x3e62eb7b, 0x6abbf4cf, 0x2d7bb851, 0xd6fdc510, 0xce8156a1, 0x8800a48d, 0xb2fdd022, 0xc20f61e2,
+    0x40242f46, 0xe2b3bd4a, 0x569d1230, 0xe42326be, 0xff4f7b75, 0x03908beb, 0x7110fb5c, 0x9b7ef381,
+    0x5d5b895d, 0x6ab32f22, 0x5af6415f, 0x2a45901c, 0x377bb8c6, 0x78aa172e, 0x883fb15e, 0x7e6af3ec,
+    0x365d0740, 0x614c1293, 0x6acdbfad, 0x8d0276dc, 0xbcb65873, 0x67526af6, 0xa78dd05f, 0x46285739,
+    0x0660625f, 0x9e0d1e5c, 0x5ae929a8, 0x825c9b56, 0x3649de3a, 0x0922db18, 0xce5a85c3, 0x750d930a,
+    0x8dfe1440, 0x8e8ff3b6, 0x8aafb9d8, 0x7b9f4d2d, 0xb1a01227, 0xbf2bfa35, 0x59f51e8e, 0x51c99545,
+    0xacf69b5a, 0xe8ff6305, 0x4852b4e6, 0xcb710711, 0xedd1880c, 0x62a10d8a, 0x689a9666, 0x4c77d6db,
+    0x20b16539, 0x60eb8931, 0xbcc41b9d, 0x4ad9e109, 0xce5a3fe1, 0x6bf56cde, 0x414794a6, 0x99366bc2,
+    0x544c34b5, 0xcfa417c8, 0x15623cfb, 0xa059f58d, 0x059394c6, 0x3e35ce4e, 0x6e32ebbc, 0x6b4b95d6,
+    0x867c7549, 0xc6ee6b43, 0xfbd2af1a, 0x78de25ed, 0x94d18444, 0x7f3bcc3a, 0xafb52bd8, 0x3d8846d9,
+    0x6eac648c, 0xdb3ed224, 0x21b9d720, 0x6dde9920, 0xbeb67b73, 0x532443bc, 0x085c0c09, 0x0638858c,
+    0x1cd112a0, 0x3b8fa5be, 0x0df9c1ae, 0x5faeb13e, 0xbe38989d, 0x5ea316db, 0x3f5d8329, 0x11138a2b,
+    0x96d083cb, 0xd36afed5, 0x18dc0b94, 0x038cdbd3, 0x8dcd34a8, 0xc0387f91, 0x77d9afcd, 0x95474965,
+    0xf8f1f53c, 0x32ebd87f, 0xa6635c30, 0x61c675b7, 0x1ff54c4e, 0xe20b9a6c, 0x26755f2a, 0x2c145628,
+    0x4d573b4d, 0x80280bd8, 0xa39fb06b, 0xc9b9de26, 0x9deae57e, 0x45493cec, 0x6d814347, 0xe13c3e73,
+    0x05874fa7, 0xb074871f, 0xfd138a76, 0x39b42223, 0xae60b10d, 0x88834f38, 0xa6607d48, 0xd571917f,
+    0x327291e3, 0xf8c23d9f, 0x514e5b97, 0x11182d9e, 0x89ba0d4f, 0x33def9a9, 0xf6d9c57f, 0x4049ad5c,
+    0xa17e507a, 0xf872bcc7, 0x918cdb26, 0x67994af2, 0x377e52b7, 0x786f7f25, 0x294d7b14, 0x801cda2e,
+    0x72a450ed, 0x0c20cdfe, 0x1dc3d758, 0xd560d2e8, 0x61e962eb, 0x6281e237, 0x8855d849, 0x64eab2ec,
+    0x0727d739, 0x7b7f646a, 0x856b0198, 0x255cd98f, 0x97c7cc66, 0xfb1e8b7b, 0x615bb86c, 0x3a3541e1,
+    0x60c50c4e, 0xfbc4e372, 0x7c8e79ed, 0x1803070d, 0xe2d85249, 0xd615d1af, 0xb58e7068, 0x5c28df0d,
+    0x7b701421, 0x3a815c52, 0xa2b8cd5f, 0x3c60862c, 0xe143dff1, 0xa1601acc, 0xdf536f99, 0xde1ba400,
+    0x682e72d5, 0x532f4c8a, 0xc7a0e0e4, 0x6f96088b, 0x67e28f31, 0xc4524118, 0xbb9d0258, 0xe1683839,
+    0x9366e516, 0xfba96d16, 0xc467cc35, 0xf9e3df52, 0xa7f9607b, 0xb8e3486b, 0x6c0bc1c1, 0xf6b048fa,
+    0x3815359c, 0xdbab211a, 0xdcc5f542, 0x5b320d19, 0x8c32aed6, 0x5f2792dc, 0x95658cd8, 0x9fb9e4da,
+    0x9e0c99cc, 0x9d4ee3d7, 0xa5e9ae8c, 0x026a9b4d, 0x250335e2, 0xbf62e762, 0xa6802ee6, 0x106d9a79,
+    0x8605964a, 0x5c89e25d, 0x2b9b16b9, 0x8421704e, 0x7988127e, 0x25b572e4, 0x2d27f5b0, 0x86915de8,
+    0x76406767, 0xf428de29, 0x0cfc4bac, 0x60545492, 0xd579cf2c, 0x3bf72e31, 0x50772844, 0x11f6ab6a,
+    0x3e73138d, 0x48eb13e3, 0x6f6ffcce, 0x0cc33a97, 0x91b59f52, 0xf48b2530, 0x19ef2b0c, 0x7d46bdfa,
+    0xee5b3934, 0x2b42070b, 0xa8096c17, 0x1847c884, 0x7b7cb645, 0xaf4ca63e, 0xe7d549e9, 0xe27e22cf,
+    0x99c5fddc, 0xddd6c87e, 0x1fdd60e3, 0xff188f48, 0x273f1f03, 0x343bc47f, 0x44b620d0, 0xbcec220a,
+    0xbbbfb0c6, 0x99ece4b7, 0x27e51017, 0x47d9e01c, 0xee69b1fd, 0x819745e8, 0xb08d5170, 0x7b38f2e4,
+    0x66915ca7, 0x687f2449, 0x0c6dd5f9, 0x324d5317, 0x0396f089, 0xdb1210ce, 0x5ac9f473, 0x94c22219,
+    0x3257eb92, 0x5cbc7a2f, 0x3ac6a6ba, 0x8869a479, 0x7678e69b, 0xadf5ad38, 0x62b3dc14, 0x722cc789,
+    0x491c5b47, 0x0f19ae0f, 0xe3b7ad07, 0xbeeb7605, 0xe9e6d7fd, 0xf5e3d858, 0x6a1b9fa1, 0x4ae1dfcf,
+    0x9fcfdca0, 0x109314d6, 0xa3e82dcd, 0xaa092c82, 0xb8b90d3c, 0xf632d6b7, 0xada76f85, 0x26f0ad6e,
+    0x258c9f1d, 0xe468178e, 0xdca243d8, 0x1ae958ec, 0xf71ff56d, 0xf4f1ed6b, 0x8e7e814b, 0x5a19d47c,
+    0x8a593299, 0x4fa9a7e6, 0x185f176b, 0xcd7c0863, 0x77ab1245, 0x14f2b11e, 0xaa07d45f, 0x5c544e35,
+    0x39654b56, 0xbec1a91c, 0x10323259, 0x72353e64, 0xe8889296, 0xf9ad07bc, 0xd2ac9106, 0x93105762,
+    0x07047f1c, 0xfe198468, 0x54576dbe, 0x75781a12, 0x38cdf63e, 0x2cf7a800, 0x8295dd01, 0x845f51e2,
+    0xc8f4dd17, 0x0e64e309, 0xb867e240, 0x7e30642a, 0x8819ae0f, 0x877854ec, 0xc9c60d58, 0xbb950eee,
+    0xf3e4d52d, 0x49689de2, 0x34a66c15, 0x13d9fa8a, 0xf2b3738a, 0xda4e6b2b, 0xd21b1e67, 0xb51fc076,
+    0xd23eb112, 0x44523205, 0x6d37c705, 0xc3c9e12b, 0xa6fa4bd4, 0xcccbf542, 0xa9adc957, 0x88f47ec8,
+    0xc3ba9dd7, 0xd6ac7aa9, 0xfd7d7f90, 0xef2494a0, 0xf58f16a4, 0x25de4287, 0x1e547a2f, 0xec46a12e,
+    0x319e148d, 0x18654f06, 0x924a0685, 0x7d46d270, 0x37aa103d, 0x8fbd411d, 0xdebc45e2, 0xf015db28,
+    0xfac52b51, 0x52a1ff11, 0x58b5b25d, 0xc666ebc2, 0x34dee84a, 0x74a05741, 0xf42060c8, 0x05b3719f,
+    0x3bb644f0, 0xda3e344d, 0x6b8edc4b, 0x0c246017, 0x729253da, 0x5e43acf3, 0x1a6e0c7f, 0x74015a9c,
+    0x7efb94d8, 0xd6fa64fb, 0x4e2e1635, 0x39195967, 0x1de027ab, 0x8aba5adc, 0xbe8243ac, 0x7cd34645,
+    0x0492c84a, 0xdba89b5d, 0x17366f1e, 0x463e84d0, 0xe3bfce26, 0xf3434c7d, 0x31a1b5ea, 0x98896fc1,
+    0xc7aae122, 0xf9dfd9d8, 0x31aa8a1e, 0x47dc39ad, 0x1b9021ad, 0xc06e1adf, 0x22650d48, 0xbf788077,
+    0x0547c5ec, 0xf01a399d, 0xf2412810, 0xd77f0f06, 0x1d491443, 0x194ff7d8, 0x0934152c, 0xb06d9812,
+    0x1f26213c, 0x830abe97, 0x1bf75919, 0x0cc86e3d, 0xaa1e0e0d, 0x6efe7345, 0x19d53c9d, 0xc6ad0e5b,
+    0xa76f99c4, 0xeea53046, 0x0b29a250, 0x6b2055e7, 0x9a197f87, 0xde88f835, 0x176b3fe3, 0xb57dc20e,
+    0xc3cf5114, 0x17113f47, 0x6fe3213a, 0x9f9f450e, 0x3917db91, 0x93a4633c, 0x72e902e3, 0xf67d42ed,
+    0x52431926, 0xaff4bda5, 0xfbf5c47a, 0xbda695e3, 0xca62525a, 0x1d4a326e, 0x0ccac601, 0xec3b8dcd,
+    0x06cd9cfe, 0x7ef521b0, 0xf2c84ed1, 0x065128d8, 0x2da6d516, 0x72ac8dc2, 0x50fcfd50, 0xac7d37db,
+    0x3ff600d4, 0xa7b26d76, 0xc8b9993a, 0x0526b610, 0xd6526185, 0x743aee38, 0x3d41f3ef, 0x3ffc3f4b,
+    0x9452da7e, 0xa84c06fa, 0xbe795bdf, 0xb9977034, 0x6343dab1, 0xe0565315, 0x96cac6bc, 0x880acf16,
+    0x88b5f181, 0x77d5d823, 0x89be98fc, 0xd8a9035b, 0xe7fa7068, 0x87284874, 0xebdcee31, 0x30759eca,
+    0xf0c527ec, 0x53acd3ba, 0x745406b5, 0xb5ae075a, 0x5000da14, 0x1d9ba54e, 0xac459e31, 0x41965a86,
+    0xb2d1235f, 0xc2abb2fe, 0x23521099, 0x6c9b9bce, 0xf6b24993, 0x0aa5a867, 0xf32b7b48, 0x8e5e08ea,
+    0xfe107d58, 0xe3900dcb, 0x937d40dc, 0x76f3828e, 0xbbb10e0e, 0xeb91a370, 0x978a90fa, 0x8230eb1b,
+    0x8f830fb4, 0x5098f560, 0xea815630, 0xab398648, 0x1fd9e298, 0xcb9f7009, 0xc60ec964, 0x6b3c2af0,
+    0xde76530e, 0x6ac569f4, 0x1bfa2d1f, 0x3c23fcc2, 0xadf1a2df, 0xfe3d4958, 0xede1ef60, 0x59141de2,
+    0x2d319a72, 0x89e0aa37, 0xac434833, 0x31ca7428, 0x92a3fb67, 0x657d52c5, 0x9dba1ccf, 0x233f3b7b,
+    0xa9030e16, 0x1e99df01, 0xa477e4d4, 0x0e41bdd1, 0x6f9dd487, 0x55b01ee0, 0x3e1e118c, 0xfa722968,
+    0xe91a840f, 0x49549897, 0xdd07894e, 0x40ea28ed, 0xeb1bea8e, 0x6b79aca4, 0xc2761e16, 0xa6be5dda,
+    0xe21a7d6e, 0xe207cf36, 0x40957c7a, 0x283b69aa, 0x1af7b5be, 0x7067c885, 0x3e5ad8cf, 0xb07acada,
+    0xab69b7db, 0x5200f048, 0x226da28d, 0x07d28fce, 0xf33edd18, 0x7dfff721, 0xc95c591a, 0x613366a7,
+    0x67e2d0fe, 0xb36097ea, 0x65825cc5, 0x2fbc4c38, 0xc9166794, 0xc85381d7, 0x4433aa12, 0x2ab7410b,
+    0x81ee5669, 0x2dacabdf, 0x05470fdf, 0x9103b4df, 0x21258144, 0x0dcfa376, 0x3ee8249b, 0x81c64535,
+    0x4828c3ea, 0xc7e0ff24, 0x765f972d, 0xb932c7b2, 0xc95a7292, 0xbc3dd1d3, 0x23030049, 0x1d1deada,
+    0x9fa8b644, 0x3fb8a76a, 0x47f36d94, 0x999726d8, 0x2600bfa3, 0x438637e7, 0x7c0b1b27, 0xd927cb5f,
+    0xd02e194b, 0xfde9251b, 0x53274913, 0x84d80967, 0x0b7ce390, 0x62bea884, 0x38f44847, 0xfffaa643,
+    0xd41399c1, 0xa393c864, 0x2709cfef, 0x37fa423b, 0x2e1f9ea9, 0x94c7102e, 0xfeead86f, 0x850c1114,
+    0x623269ac, 0xb64a69d8, 0xd4555492, 0x463cf6db, 0x0058e1e7, 0xdc92c72a, 0x8feef128, 0xdb6f325a,
+    0x25f278ea, 0xd5a18a24, 0xfa5a76ce, 0x01384205, 0x1266dba1, 0x7e2da286, 0xea4ca078, 0xbaee6237,
+    0x38cdb5a8, 0x9c1bb6a7, 0x3d3ebb9d, 0xb49dc408, 0xa4a770b0, 0x4e238647, 0x9f71423a, 0x768d4830,
+    0x60c2d51d, 0x1c56b729, 0xa4e0906d, 0xe79a592f, 0xc9b23f72, 0xe8d73a04, 0xe6fee1fc, 0x19b3d3ba,
+    0x7b7754ff, 0xbd773452, 0xe5ca0745, 0x69bdcba0, 0x95aaf56d, 0x8da9abc5, 0xcfe154f9, 0x6f03f092,
+    0x373b4e98, 0x28f88fc4, 0x8125a484, 0x3faed031, 0x700305b6, 0xe80a09cb, 0xb8f93df6, 0xb5a2106f,
+    0x04e8a13b, 0xacd171e8, 0x7559272b, 0x078e2dea, 0xe44a3ea0, 0xb9e6bc8c, 0xe443f6c9, 0xf91630a3,
+    0xfe88fe8a, 0xbf8fad26, 0x7f9753a2, 0xf2574db1, 0x5557728f, 0xe8e2d04d, 0xf34656a8, 0x55b15487,
+    0x9aa35706, 0x24c8e72c, 0x1bad2095, 0x28f2d37b, 0x024d967e, 0x73e56d6c, 0xb93894b1, 0x050ebc28,
+    0xe3deafbc, 0x6af01d91, 0xafd0cf56, 0x2c2c0c87, 0x3302dd51, 0xfb946519, 0xb651b67f, 0x2e6df8d9,
+    0x105a6c41, 0x316590c6, 0x44767516, 0xb4c4ccbf, 0xcb0ad860, 0xe0361364, 0x54e78935, 0xbf8a6d48,
+    0x73ac6ecb, 0x63b7f289, 0x1be97477, 0xd823797d, 0xf14c9703, 0x911d1fb2, 0xd94b8a1f, 0x4adfb430,
+    0x3cdcc0e3, 0xcfe20ee8, 0x1d9b75e5, 0x66591e4c, 0xfa82fdc3, 0xd13624ba, 0xf9f878d0, 0x80410469,
+    0x831d72a0, 0xc36b6511, 0x49695eca, 0x3cf969ff, 0xea7b8834, 0x1d7dbaf9, 0xf6b86d24, 0x8d48ded1,
+    0x2af88b92, 0xb8b99597, 0x2a59f089, 0x0cedda64, 0x5ff3e100, 0x1411933a, 0xd1fd0306, 0xf9fe9e1e,
+    0x09ed59e2, 0xaedcb7ff, 0x5608f0f6, 0x10f838af, 0x02b0816b, 0xcb60349c, 0xa0e63b3d, 0x0713f1c8,
+    0x3aca4655, 0x2d3dd69a, 0x0c2ba361, 0x12ddd505, 0x976ddd9b, 0x2cd32be9, 0x7dede7d3, 0x8024b4ca,
+    0x9683af1e, 0x32b11f50, 0x223be84c, 0xa93f28ca, 0xd58eb4f8, 0xc5b5949e, 0x59a4814e, 0x40ca9ad5,
+    0xbe161ab3, 0xad61ebdb, 0xa2472a19, 0x526f4c17, 0xd1a0538d, 0x3ce175e0, 0xd80b5e58, 0x36dd6739,
+    0x0d9f351f, 0xd0311db3, 0xe9d0a652, 0x10d68f20, 0x2bc9a1fc, 0x645ffb31, 0x98ffef8d, 0xeccb6bf1,
+    0x9a1a51fd, 0xb53ca80f, 0xe78fc233, 0xb65351c7, 0x36126a9b, 0x63a0206a, 0x735c0606, 0xa6971d08,
+    0x7dd76557, 0x838effcf, 0xa8a5f1bb, 0x95d9f8e4, 0x23257458, 0x3a0525c9, 0x75fdd509, 0xc49fd166,
+    0xa361b067, 0x78348135, 0xc88a7e08, 0xfc7ffc16, 0x5067c796, 0xb4eca469, 0x8c00989d, 0x0c3af33e,
+    0x486a4ad0, 0x031bd3a1, 0x54d4d674, 0x3dc68782, 0xf99f0cbe, 0x285ea4ce, 0x3f456436, 0x077f23d6,
+    0x7951d792, 0x7412ac69, 0xd594d2e4, 0x36344410, 0x5cde3a67, 0xde940caa, 0xab19d40f, 0x30c6d1a2,
+    0x42ae763e, 0xf62c9d0e, 0xd954629b, 0xceef5c6d, 0xd5dcb540, 0x4d5cfec6, 0x9f57c834, 0x9691ea32,
+    0x4dc50287, 0xcfae446f, 0xf1e104ac, 0xb1d00825, 0x097eba15, 0xe5d12839, 0x49876064, 0x311bd891,
+    0x312ae44f, 0x3bf33697, 0x81b830da, 0x38288acd, 0xb8a65515, 0xde8c3203, 0xea18405f, 0xd2f56d29,
+    0x954216d6, 0x5397a2e5, 0xbfde79f4, 0xc886d781, 0x3c8a4f37, 0x367501ab, 0x43ef45bb, 0xe1af471e,
+    0x9c401c64, 0x7ba4e593, 0x73a00e92, 0x7b4c82ed, 0x71ab0e5b, 0x22eee9d0, 0xced8124b, 0xd0de8049,
+    0x593d70af, 0xcb046a9b, 0x86433767, 0x2e731c91, 0x28ad3ed2, 0xbe39082f, 0xe2e41e37, 0x97569001,
+    0xdd9eba1f, 0x8e49df6e, 0x6f4eb223, 0xcca5d21b, 0xb65c288d, 0x9ccb2edb, 0xd225923a, 0x5b96b5e5,
+    0x785af93c, 0x2e3063e5, 0x72a64cef, 0x52fcecf6, 0xa4ca24e3, 0x77f02653, 0xd39753e4, 0xf879396f,
+    0xb523ec9b, 0xad344105, 0x3462d99c, 0xef0c2614, 0x39bd0e1b, 0xb721ec7a, 0x9a41b6a3, 0x39fc4092,
+    0xb5965e72, 0xeb36bf67, 0x6aed2d31, 0xb52fa922, 0x65547a89, 0x280ca4d2, 0x5f8d1dfc, 0xf6b2a4d0,
+    0xa8f4a57e, 0x47f82414, 0x3e16e8c9, 0x6cf5f18f, 0xed4e1ed0, 0x8adefebc, 0xc14f7ba2, 0x09a871e5,
+    0xbe685b50, 0x60731903, 0xd0726812, 0x450768da, 0xb3542331, 0x67207e49, 0x1e5c952d, 0x4c373428,
+    0x16c95f4f, 0x5cec5fa8, 0x52f416e7, 0x50c9c635, 0x6f3da9bc, 0x97fde9da, 0x3b75b353, 0xe5ad9d4d,
+    0x00000000,
+    0x95fb7fa5, 0x8dc57f24, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000002535301200456458802993406410752 */
+  { 0x00000000,
+    0xb197d7ff, 0x33101adb, 0xecaa6e25, 0x0bd2f066, 0x2c29648c, 0x13071efe, 0x19711041, 0xa281fbe7,
+    0x13b8eb82, 0x0970d8f6, 0xd2c7863c, 0xe16e99a1, 0x87fbc5c0, 0xf6870b6b, 0x12b734a6, 0x7f929d2e,
+    0x9007fb87, 0x32c4906f, 0x0ca3eada, 0x796e153d, 0x870c1441, 0x5fa5f83f, 0x46f7fdf7, 0xb9803fd3,
+    0xeb833f55, 0x5eacd7bc, 0xf33d8f8e, 0x3ea2284f, 0xbb8acabb, 0xf30865ee, 0x31b4c869, 0x5a1f7a6e,
+    0xd4cbb224, 0x2446e5b6, 0x68ea1e38, 0x3557c0da, 0x5f4cd9ca, 0x030e6e78, 0xf2bae4de, 0xb76ad8aa,
+    0xd5b5b554, 0xff2098e5, 0x50c38f56, 0xed792820, 0x1d3dc36f, 0xef51b7ff, 0x2e30d62e, 0xeba7708e,
+    0x1fd3a261, 0xa2cd28cf, 0x7abde441, 0x4690ffa2, 0x4edabd8e, 0x4e01fc8c, 0x02936c70, 0xea83840e,
+    0x024fde13, 0xdc92c9bc, 0x2d353411, 0x0c80e3ca, 0x0e6be61d, 0xc49cd4af, 0x1ecfd3ff, 0x0e014e99,
+    0x46b815cb, 0x4f626c10, 0x0d59bcc3, 0xbbf50b06, 0x60b42daa, 0xd5727316, 0xfb0a404e, 0xdb454f0c,
+    0xb4bd9908, 0xfb4e9a07, 0x9146e3af, 0xcc5a0142, 0x4ec59689, 0xca66b85e, 0xcd98a299, 0x0895e0f5,
+    0xe63640b6, 0x40f94d60, 0xb382d401, 0xcdfab42b, 0xb45cee5b, 0x35b653cf, 0xe91c3c86, 0x2c3e6b23,
+    0x95de4b81, 0x5da388e9, 0x88b49669, 0x07bb573d, 0x4b3d4635, 0x245c4d1c, 0x9ff69d56, 0xd4f88089,
+    0x4281209d, 0x90b4618e, 0x0bfec2cb, 0x36d497c8, 0x760f1b46, 0x057ad1d3, 0xa8cf82b3, 0xb919cb15,
+    0x6a7167ac, 0x72e44fd6, 0x8791fa75, 0x5d8a70f0, 0xedac9ca7, 0xc25dd0a1, 0x529caf26, 0x77d4a877,
+    0x116a60f9, 0x2d553ffd, 0x9b85d91e, 0x24eb237f, 0x000203d1, 0xd96eb72a, 0x3a54d09c, 0x835d7e4e,
+    0xd6b85e0c, 0x10bff7ff, 0x08b1bcc8, 0xce29e0d3, 0x501d7017, 0x9e03d9ec, 0x35f73808, 0xa9866b8f,
+    0x4053e845, 0x550f7df0, 0x58eacc04, 0x2de309df, 0xe99aa10c, 0xefb5e28e, 0x12b1caf6, 0x475466b3,
+    0xc7123b53, 0xbc6dd4b0, 0xbded1cab, 0xb89cc18f, 0xc9d5e3cb, 0x62b4a59c, 0x5b18050c, 0x4c7bc6c4,
+    0x261f7544, 0x0025e166, 0x0b3b80d7, 0x36ed694a, 0xab8b5f82, 0xccdfbd63, 0x3bdb29fb, 0x1d50b1d6,
+    0xccbfb1c0, 0x5727266c, 0x10aef0f8, 0x78774ced, 0xc7f24641, 0x5cccc952, 0xb6e8b391, 0x8d08510d,
+    0x375edadd, 0x5e4265e2, 0x1ebc9014, 0xdcd83cb7, 0x9d0e0137, 0xb31c68ac, 0x9852a525, 0xe775fa28,
+    0x58c5355d, 0x5fd5c6ec, 0xdd6d0572, 0x6637c77a, 0x778c981f, 0xbd24559c, 0xf007790a, 0xbca1e00e,
+    0x8db9db3f, 0xf7c0ffef, 0x0b7aecd2, 0xd6d63420, 0x94fd26a6, 0xa37bc8a0, 0xbb1de112, 0x16b5d317,
+    0xdbb0b266, 0x084dd9bf, 0xb897d954, 0x33039f95, 0xa8bfc622, 0xba2710a0, 0x75ee74a3, 0x1f287caa,
+    0x633daf9c, 0x54e23c42, 0xb7718df1, 0xeec770a2, 0xbdfbed56, 0x7cd0e898, 0x46e6a699, 0x57d2f724,
+    0x67f3ecc5, 0x4311a165, 0x7759af4c, 0xc27e838c, 0xe4e5ebe5, 0x79e2f65b, 0x3b033e7e, 0x93a8a6f2,
+    0x4cac537b, 0x4707446c, 0xbd9e228e, 0x08ea0062, 0xbd0cf87f, 0x1fe1f1cc, 0xdc5a66c8, 0x3d398e24,
+    0xeb13e357, 0x88c5be92, 0x39040378, 0xb0697043, 0x3d9b608a, 0xa49b698d, 0x110cd013, 0xd28e1a43,
+    0xc67af506, 0x8f04365b, 0x62337b3b, 0xdcef993c, 0x7ad6d60d, 0x402e488b, 0x6f167983, 0x4a525a97,
+    0x08244d11, 0x55c359a2, 0xdf5b3635, 0x3b095042, 0x56bc138a, 0x7413b45c, 0x81d7d47a, 0xa57f6318,
+    0xdc366391, 0x123e8e88, 0x24ee5079, 0xef485151, 0x599d2032, 0xf3681620, 0xccd8801a, 0xb1248dfd,
+    0xea7654e0, 0x7692650a, 0x6c33d367, 0x03343229, 0x6737fe53, 0x86a755c9, 0x91a3c391, 0x8665615c,
+    0x4e1c911e, 0x1086d9ab, 0x4a771b54, 0xaf15d7fc, 0xe9398a13, 0xfe1e7639, 0x297296b4, 0x4125369f,
+    0x24aa4f20, 0xd0a001a2, 0xb0b05f82, 0xc8f90bbb, 0x8b57f508, 0x9c0e289f, 0x1bd9de71, 0x76f4c442,
+    0xfb23affa, 0x29f9220a, 0x83d9bc26, 0x43f80b3a, 0x1e053efe, 0x9c8ddce4, 0x9bfbfd46, 0x04bce72e,
+    0x7f036793, 0xae945917, 0xb393ccb7, 0x1c16df74, 0x11ee536e, 0x84a51341, 0xe110cb85, 0x71312180,
+    0x7bc63709, 0x142ab1a1, 0xc1054c23, 0x12779c5e, 0x91908ce5, 0x942dca86, 0x54344a7b, 0x18010aa8,
+    0x6b3bf3b7, 0xd74ac54e, 0xb71282c3, 0x96c07e22, 0xd9cb15e0, 0x6020d826, 0x9eb698f6, 0x65e0f2fd,
+    0x2862cf85, 0xc4f02034, 0x0a31844c, 0x819e188b, 0xd48b154c, 0xd8a1f057, 0x99c866c9, 0x41923b70,
+    0x8d7d8852, 0xfe39527e, 0x675163cb, 0x07765717, 0x043a9366, 0x89eb2d9f, 0xc9380b3b, 0x6ddb6d4f,
+    0x777e9c8a, 0x93ea8867, 0xa0030c89, 0x2e8e6177, 0xc73abeba, 0x9fea1195, 0x387001ba, 0x35dafb17,
+    0xfdfb5384, 0xf6506015, 0x88fbae57, 0x3f2b035a, 0x8a335d5c, 0x25cd8f3d, 0x44e5776b, 0xad707391,
+    0xa35ec88e, 0x442653b4, 0x29892a17, 0x6368716a, 0x1a149d05, 0xc4d125e5, 0xcdf6157e, 0xe9208922,
+    0x89f18d85, 0xab19a251, 0x5ed968ff, 0x90ab5261, 0x9d214d2a, 0x33f8cf1f, 0xd478e184, 0x4dcf5192,
+    0x0303391b, 0x03a31bd7, 0xa394b9cb, 0x26cbc303, 0x25727a46, 0x6370296f, 0xf5e9d531, 0xb4aea18a,
+    0x678d675f, 0xdcd3bea8, 0xed8eb199, 0xd39f0845, 0xea5cb4df, 0x332fd5ef, 0xcf5a0897, 0xef3053e5,
+    0xc54dbf46, 0x715fb648, 0xe1778800, 0x16ca0451, 0xe897c322, 0x8a5c387e, 0x267a9fc4, 0x3817a9a7,
+    0x767ce939, 0x333d7679, 0xf4362d1d, 0x975e8b3f, 0x93345f58, 0xe3f1ec38, 0x3975e2cd, 0x684caf61,
+    0x9839f6e0, 0x42416517, 0x2e91a391, 0x3d6abb87, 0xb9821262, 0x678b0bc3, 0xe1aa3496, 0x99fcb94f,
+    0xe86c813a, 0xc6124e45, 0x5e948f2e, 0x62f5df95, 0xba47cd2c, 0xae2138c5, 0x3d7ceae6, 0x6e909a9b,
+    0x242f995e, 0x18a24003, 0x34f37c2b, 0xe8688902, 0xb2654e40, 0xe2f4c053, 0x6e7fcda7, 0x78b926e0,
+    0x7d8afbee, 0x8fd972b9, 0xf5256ef1, 0x26cd4fae, 0x08a289c1, 0xf7b36487, 0x3eeb4216, 0x2c7ac321,
+    0x97e0b23d, 0x796c3c3d, 0x93ab8eb8, 0xe4115149, 0x0aaa66ec, 0x1a1ac4b4, 0x93c82f0b, 0xf663f91b,
+    0xca7ed7a6, 0xcbbe4650, 0xc27136d0, 0xce0321f3, 0xf95857d7, 0x89a71be4, 0x28cce2ff, 0x355ae019,
+    0x333227ca, 0x069445c2, 0x493e43cf, 0xd9ddff0e, 0x8fd5a114, 0x0e2fa039, 0x7fab4e82, 0xe9b56eff,
+    0xbc9fd02b, 0x4f427225, 0x88b6998e, 0x8457b0e4, 0x9df04471, 0x5758438d, 0x9e7410d3, 0xe23b79fd,
+    0x24bff7c7, 0x9fcb9e7e, 0xadd5cd40, 0x432c67c0, 0x80b6959c, 0x8300764e, 0x9aa43083, 0xc1ac1ba4,
+    0x55d98206, 0x825ec77e, 0x2c20fd3b, 0x9a04c6dc, 0xeb5803ad, 0xed1edd25, 0xf7d11750, 0xe09072fe,
+    0xe1beff12, 0x35528e59, 0x9a9b76b9, 0x969889b3, 0x9b57a4a9, 0xf095c1fc, 0x33a8820a, 0x8ef14ca3,
+    0xead8d49f, 0x81cc09e3, 0x85605128, 0x43a393d1, 0xfe1cc26b, 0xfefca4f5, 0xcbf6bb70, 0x673bca55,
+    0x736c7df0, 0xf99816d7, 0x58b5d790, 0xe58dad8b, 0xb7f01a51, 0x7fea4205, 0x72db02ea, 0xd6a87de5,
+    0x7f9e7375, 0x294e987a, 0xf002f47d, 0x22c1bdf7, 0xbde586d9, 0xec190a3d, 0xe3a40c82, 0x12e0236c,
+    0xd7fda4bc, 0x936c21c0, 0xd17ff3bd, 0x1be1587f, 0x51268aa9, 0xe8d15da9, 0x5208c713, 0x84b62d8b,
+    0xbe0ba2f5, 0xd4cb6170, 0x32abf082, 0x69e393d9, 0x53e456b8, 0x40b7e173, 0x3f469aca, 0x24520860,
+    0xa8fd590b, 0xbb351bd3, 0x7b7891b0, 0xf0aede8a, 0x2e8a3055, 0x25893590, 0xc22ca200, 0x4cfd98a1,
+    0xdd6f78fe, 0x61a30280, 0xca711b32, 0x0245af13, 0x74f06123, 0x7f72a46d, 0xbd7fb728, 0x6405fba6,
+    0xfc295518, 0x6202f826, 0x80389119, 0xfef0a885, 0x88662857, 0xce4a1973, 0xc572aa1b, 0xd44e5ef9,
+    0x108fc297, 0x05ee265e, 0x4c9d0ffd, 0xc089e075, 0xf6642d91, 0x55a08aa6, 0x4d64c9ed, 0x3f2539bc,
+    0xf53dd596, 0xf77f3f8c, 0xfc5f1b09, 0x0562016e, 0x373d1d98, 0x9c3fb8dc, 0x33215a6d, 0x53d03c06,
+    0x33336717, 0x1bca835e, 0xb05b0c75, 0x0e6fc8f5, 0xe2b512f3, 0x78f422d8, 0xa2a22963, 0x62708a56,
+    0x9e7b0710, 0xd9e82131, 0x84c2af0d, 0x614d4798, 0x489678b9, 0x9d673e77, 0x834cbd1d, 0x3979dc82,
+    0x3d2a1d23, 0xd99a1cbc, 0x7b3d9b9a, 0xc29e192a, 0xd93061d9, 0xae382bd5, 0x8059bb60, 0xfc83a854,
+    0x44533f85, 0xf6395667, 0x3947d981, 0xaa6f356c, 0x2223827b, 0x1b9b296a, 0x0975fd2b, 0x513b1206,
+    0xde36e83d, 0x3663c633, 0xe902b5c2, 0x9af48018, 0x34577f67, 0x3b391c50, 0x70073358, 0x3d959295,
+    0x1dc95ea5, 0xfd9c2837, 0x4adda1e9, 0x2a14ef49, 0x39f2e1e1, 0x0b3195a2, 0x0943b1f8, 0x2b7a48a6,
+    0xee76009c, 0x0ebb3df9, 0xd57d12e0, 0xc859b0a9, 0x85ddccba, 0x011c539f, 0x493d5b9c, 0x3a8cb655,
+    0x24beec92, 0x2183375a, 0xe99e8a86, 0x9fb955aa, 0x43648c80, 0xcde29c40, 0x8551a3af, 0xc91791c5,
+    0xc86473bb, 0xfac711f6, 0x45e1b4bc, 0x384ff688, 0xd76c50ff, 0xf5304de1, 0x666807b4, 0x9724e029,
+    0xfc4ae823, 0x5c50a0e1, 0xef779c1c, 0x8debbeff, 0xd8c7b632, 0x66e74014, 0x8e02a7d3, 0xe97fe2e1,
+    0x6c6cc60b, 0x9262320c, 0x1b8723a6, 0xa0976f21, 0x3b5c4009, 0x4fa141b3, 0x588c20fa, 0x2dea253e,
+    0x657f6603, 0xefdfc557, 0xf3beb404, 0xdbce551d, 0xc9d61b34, 0x566d7f60, 0x5850d454, 0x5f48f5b1,
+    0xe63377dd, 0x045ad087, 0x457c02f4, 0x00d62422, 0xccc9afde, 0xdd06f7da, 0x7f761480, 0xfd88e06f,
+    0xdb45965e, 0x04df1d64, 0xe55c7566, 0xeb0c47c0, 0x9b4f662f, 0x5fc74728, 0xb85ec04d, 0xfad4540b,
+    0x6ac7cd5a, 0xa13e6a5f, 0x4d6286ed, 0x4c7448ac, 0x35775d63, 0xdbf30a0d, 0xe6ab2b41, 0x38bcfbd7,
+    0xc2e1adb9, 0x1eae444a, 0xfde3014b, 0x7f82492c, 0x1f260c1e, 0x7cdb899b, 0x8a18096f, 0xef6bce7f,
+    0xc40b5f29, 0x1dd2adc6, 0x757ee262, 0xb24117bc, 0xba2f554f, 0xd80bf240, 0xeee99ad0, 0x9be017a1,
+    0xe02f6035, 0xb638eaf2, 0x35417f67, 0x49bfd9cd, 0x5c33c5be, 0xfc69982a, 0x128e5381, 0xe7218bc8,
+    0x0954519a, 0xe1add69e, 0x0f7a92e4, 0x617c04c5, 0x74792f45, 0x5b26bbc3, 0xdab2eda0, 0x70627dde,
+    0x3a040fcc, 0x24b38873, 0x848c9bd1, 0x387d383b, 0x76615640, 0x5f355197, 0xca7d60f7, 0x3ca795b0,
+    0xf9758107, 0x0a41643e, 0x7f6ad6b3, 0xcae2e9ec, 0xbca9a264, 0x9b5412cc, 0x22640d06, 0x04b6df35,
+    0x85abbdf4, 0x34adb34e, 0x300709e7, 0xa7add9c7, 0x4f700a59, 0x945a8829, 0xdf8ade14, 0x5ee47b11,
+    0xac4e7e20, 0x8a8e7e5c, 0xbd88e2dd, 0xd3d36980, 0xa66ec91f, 0x1adfd75f, 0x9ef7effc, 0x902e27f3,
+    0xad19b9b2, 0xad16b448, 0xad7aa979, 0xd2fd3c2b, 0x52c43e11, 0x97a4aa95, 0xad41f915, 0x554c7e5d,
+    0xe6b71393, 0x3b1336e0, 0x56d462cf, 0xd3b63099, 0xf40e5bf6, 0x26ee592f, 0x717fbbf5, 0xf485d8c5,
+    0xd6c48c68, 0xf91a78e3, 0x5be53690, 0x01925567, 0xa8b16759, 0x5e899127, 0xa4433db0, 0xed3be64f,
+    0x2023f862, 0xf29cc225, 0x28e3bef7, 0x41035de9, 0x6b58987a, 0x5ea00d87, 0xa35f6ba2, 0x94e2057a,
+    0x4bd8bc97, 0xb98f618d, 0xa0393657, 0x25601c28, 0xe9c86201, 0x6de0b5ca, 0xd1b35701, 0x8abf22d0,
+    0x09baf0b0, 0x0f3d4a7a, 0xd8854192, 0xecca5b39, 0xc23e2832, 0x2f5ebd0c, 0x249873f8, 0x6baa5cf6,
+    0x793040be, 0x7d07b16a, 0x14be11f2, 0x70fc3d35, 0x89c22bd3, 0x7ee7df98, 0x97520f9c, 0xe1282aaa,
+    0x4a98cdfc, 0x3d3d671d, 0x576a17f8, 0x78da2bd4, 0x6a494b30, 0x657045a0, 0x3680fc17, 0xc58ba802,
+    0x6f24e84c, 0x6604f2e1, 0xf1d7eb83, 0x0147e132, 0xfd935c12, 0xc6d5acd4, 0xd0d2dc55, 0xa1007d57,
+    0xf1c8b851, 0xf7543c25, 0x1d991910, 0x522ac2d5, 0x0c769720, 0xc9df660f, 0x1c2e4b82, 0x309cc371,
+    0x2f96ee6d, 0x26d73cc1, 0x9b15770a, 0xe8026180, 0xccaf885e, 0x5f5c2a21, 0x88d7c25f, 0x10e94609,
+    0x1bf30f77, 0xb9c0a34b, 0xb3eb50f0, 0x27e4b103, 0x4a66b2a1, 0x1db24708, 0xf9c3a9e9, 0x56f4bb72,
+    0x646235e1, 0xf549f679, 0xbeaa7374, 0x068f08b7, 0x28d1bc89, 0xfa381b4f, 0x49a4e104, 0x3b4e68aa,
+    0xe890761e, 0x199e0148, 0x68679655, 0xce0e8e65, 0xebee6763, 0x74943e14, 0x3267db80, 0x358c1985,
+    0x3cf90402, 0x73c9eec0, 0x786709ae, 0x88b56e36, 0x25f2bf07, 0xdfb6e7f7, 0xa25a3b1a, 0x50ce2c7e,
+    0x22c6f87e, 0x85497e94, 0xfd9dc396, 0x1b98f940, 0xa5bc9581, 0x81e4ed2c, 0x8448e2ce, 0x1111b380,
+    0x6667ac96, 0xa78f461a, 0x405df0da, 0x71a54049, 0xbe4c2e00, 0xfbfd7e11, 0xd0f686d0, 0x40810663,
+    0xd1c4a00c, 0xa4a08d7a, 0x083c7d99, 0x1175fe63, 0xa9bc67bb, 0xc8de7548, 0x3bcaba87, 0xc7040193,
+    0x60aad124, 0xca1c0447, 0x9c4bf077, 0x18988b70, 0x0cf88809, 0xd470d9d7, 0x044125d0, 0xf9a7313c,
+    0xcfd9bfd1, 0xc8f21a2a, 0xe17d30c7, 0x8448520e, 0x0894a1da, 0x117acc25, 0x87b34a8b, 0x0fbe1af3,
+    0x3f228a44, 0x176c3160, 0xa68fe86c, 0x5db48638, 0x125eeff5, 0xbdded39f, 0x8e3dfcda, 0x08afc6e3,
+    0x88ee84be, 0xca2cadb6, 0x31472cb4, 0xc4ea3f64, 0xeab446c4, 0x4fd1413d, 0xc02cf60d, 0x5f860fad,
+    0x7e58a8c2, 0x898830b4, 0xf92b48a0, 0x2caef0ac, 0xae6412f0, 0x9524230b, 0xf7d867b6, 0xfc857dcc,
+    0x33271c1e, 0x6a678874, 0xb12d6659, 0xb880f90f, 0x4c515110, 0xe7e5103b, 0x1bb170d8, 0xc3533c8a,
+    0x6be938c8, 0x1344dbfa, 0x52706bb4, 0x3c750c9a, 0x2b485576, 0xdbb216e5, 0x44eca521, 0x8300bb18,
+    0x39483667, 0x34bb5710, 0xeea50c86, 0xa6c4c290, 0xce67b707, 0xffea8da8, 0x95ab0297, 0x3b392c40,
+    0x007da553, 0x0c1a6c49, 0x0082ff63, 0xdb5999b0, 0x6fc2b775, 0xe9e8b89a, 0x7d0aecc9, 0x5cacaa3b,
+    0x5964efb4, 0x9d7dacb6, 0xee5b26e1, 0x346cc4a9, 0x34782f0b, 0xb0a846cf, 0xf99df2e6, 0x96869b8a,
+    0x4ef23c55, 0x009c0b0a, 0xec423fe2, 0x0c32c70b, 0xf1150d99, 0x2d4d4991, 0xee2f9186, 0xb955e2d5,
+    0x9a7aa7f1, 0x24b45c4d, 0x5c08841b, 0x28b4e403, 0x455d790b, 0x9a5777ff, 0x2f64b961, 0xc208d0cf,
+    0x26ab1004, 0x6539d8b7, 0x93bccf9d, 0x37685540, 0x19513b86, 0xfb0a551f, 0x9b2359eb, 0x9f4d1cba,
+    0xa9585d5e, 0xbf99688b, 0x6305c528, 0x48388fb3, 0x99949a0d, 0x96cafedf, 0x2735450f, 0xc14d6516,
+    0x1bdba315, 0xf94311d4, 0xcbc62461, 0x80e5b08b, 0xa9d5a78a, 0xa3bf40ec, 0xc7e7364b, 0xf911f24b,
+    0x0083d6c9, 0x05bd9d4a, 0x20edae88, 0x844adeac, 0xfd586240, 0x3d3b09d3, 0x671bb002, 0xab75f73c,
+    0x00000000,
+    0x4afdbfd2, 0x46e2bf92, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000001267650600228229401496703205376 */
+  { 0x00000000,
+    0x6590fea2, 0xd6c0dbeb, 0x571a2234, 0xc8835363, 0x52cd5f62, 0x3910cede, 0x5f63c606, 0x457f6e9c,
+    0xdc8f7cbf, 0x820b7127, 0x329945d6, 0x38fb5d64, 0x2037b96b, 0x54783965, 0x263201be, 0x10c2061e,
+    0x40a5fb65, 0x9a4799eb, 0x6d78c28c, 0x11803a4d, 0xf543a29a, 0x08884652, 0x26c9bf51, 0x25843676,
+    0x341be4da, 0x47c24eb6, 0x9e24273f, 0xba33aba0, 0xd5202f45, 0x0ba7b10e, 0xb6ffc4f8, 0x8c4243d4,
+    0xa09f4b06, 0x1c588e63, 0x7ee8d441, 0x292bf04e, 0x86a052c4, 0x06c60c18, 0xd92b71f3, 0xc7127a01,
+    0xc29ee8e3, 0xd9e8d190, 0x4abdbb51, 0xa80b9d9b, 0x597fd182, 0xa9edde39, 0xfb8b1c4b, 0x30e92dbf,
+    0x00b541ed, 0xc3ede249, 0xb4f1f6d5, 0xb2a0a0e7, 0x901a551a, 0xee4ab360, 0x79d1b456, 0x805b18ed,
+    0x6bc5718e, 0x4bf5f401, 0x3594fe80, 0x80ff09e1, 0xa9e56548, 0x5586bd5c, 0x766b2310, 0x4db7ade3,
+    0xc3c10698, 0xa973f97d, 0xa64a8529, 0xa94d61b9, 0x7ab29fde, 0xf1a2d009, 0x70db7dc8, 0x78c8974a,
+    0x5fc4201c, 0x7926681d, 0xfeb293e8, 0x9063c217, 0xe95154ae, 0x08fe8577, 0xf7eeb85f, 0x247233b0,
+    0xb8742e1e, 0x6bd3b1fe, 0xfac8d365, 0x9ff36738, 0xf00131da, 0x607b5ff8, 0xa4ac2768, 0xd3826d7c,
+    0x018407a1, 0xa81e7cfd, 0x7448cde5, 0xff9831ef, 0xc61b7f2d, 0x2bb37e13, 0x752fc090, 0x4ae832e6,
+    0xad6146a3, 0x175279f8, 0xc777674e, 0x5975d1fd, 0x22ca5de1, 0xbfdc5ea5, 0xbb4dc8fc, 0x0f84dd6a,
+    0xed20b0c4, 0x14ca0b09, 0x1722fca3, 0x6c6bbff2, 0x1af45ad1, 0x01856d8c, 0xfb53b176, 0x5f044e99,
+    0x35b8b848, 0xd0d886ca, 0x7ac06e69, 0x289e0240, 0xe5e6dc5e, 0xee63ae71, 0xbc06c512, 0x5757d81b,
+    0xf26fe89b, 0x183ccad5, 0x28e6bada, 0xaf583323, 0xa144f0d0, 0x76e22dd2, 0x36bcb339, 0x2c373853,
+    0x6c77ad5c, 0xebe16869, 0xc19c8419, 0xa0c891a7, 0x31418e40, 0x2fb88237, 0x289d2e21, 0x4f0d0ba5,
+    0xc1278f6d, 0x3dae3dbc, 0x9c77cabe, 0x31fea050, 0x47a92c39, 0x3711c936, 0xb091c4a6, 0x2fea1891,
+    0x2c694b6d, 0x7523e096, 0x2e1cdb2c, 0x6473416a, 0x2a6d140e, 0xab598d45, 0x441f46a5, 0xb4632090,
+    0xdd17bb2b, 0xb4a84d96, 0x98c1f18e, 0x48d12849, 0x83ad0761, 0xec2956a3, 0x4061a70f, 0xda60b446,
+    0x105ddc47, 0xd23a25a0, 0x8b72ffd7, 0xa2e79610, 0x4db36e49, 0xc99d62c8, 0xb101d361, 0xec845493,
+    0x115c43e1, 0x21ff044f, 0x77761ef7, 0x0f6da581, 0x3a9c8edf, 0xe31ca36b, 0x01f41c11, 0x333f100d,
+    0x8444f5a9, 0xf0f84a3d, 0xb3aab4d3, 0xc7493c9e, 0xe9c196b4, 0x571b03f5, 0x6ee89350, 0x6d5ad9d4,
+    0x2d2f377e, 0xb78c0d56, 0x0dac2855, 0x24351997, 0x27f904d6, 0xdc4ffd57, 0xda321049, 0x0cd5566d,
+    0x070d95f5, 0x0f69ef06, 0x9b39bf82, 0x3d714cee, 0xa5fa2b89, 0x66400c57, 0x35c11bad, 0x3755f08b,
+    0x864e83f0, 0xbd3b1a7d, 0x9020217d, 0x6e25fd39, 0x4cdcc205, 0x66498ff5, 0x150544a5, 0x2768c5d6,
+    0xcb5a3a3a, 0x4384a0e0, 0x3b2a56de, 0x9d0712e9, 0xb4411e06, 0xca7a41a7, 0xf5166035, 0x42837980,
+    0xa3b922e5, 0x30f583d7, 0x02958fb4, 0x89e15800, 0xa7538eee, 0xecdd5c8d, 0x1fa30204, 0xead0916a,
+    0xf52ba8c1, 0xa35c79b5, 0x61242e9e, 0xbb85865f, 0x47f15d4c, 0xc2c45d3b, 0x4d3a46ef, 0x1e6b9cc8,
+    0xe82a05e7, 0x1dc67d46, 0x43f1904b, 0x42e42f6f, 0xf5b4afe0, 0x66f8dc6f, 0x0fa4a98a, 0x8555985f,
+    0x48a22aaf, 0xc6f85102, 0x26ef76e2, 0x5153842e, 0xa008a384, 0xe207fa0b, 0x5acaf247, 0x5a791bd3,
+    0xb9e33d9f, 0x4c4456a1, 0x847feee6, 0xe604d086, 0xc6431de9, 0x3c038dce, 0x7cf0ec5e, 0xc0560273,
+    0x0ca488f3, 0x2f18119c, 0xcf5a1c9a, 0x576f511d, 0xd1d040c8, 0xb6e98990, 0x4c174e8f, 0x02f560bd,
+    0xdd3a5866, 0x3e1821a2, 0x07b55846, 0xde66d9e6, 0xcd7c7a53, 0xa361eca5, 0x7d304482, 0xc935242b,
+    0xc9d23804, 0xb996f78d, 0x23473282, 0xdda18ec2, 0x560a3b5c, 0xff550f50, 0x9be4669c, 0x40aadcea,
+    0xb0f9e40b, 0x0da3b1b4, 0xb5989373, 0xc5e7e070, 0xb98990c4, 0x32e07cba, 0x822fab82, 0x82742cc7,
+    0x1f48493c, 0x31b02a41, 0x9c75e07a, 0xce0de575, 0x1b477466, 0xb973ed59, 0x01a58b47, 0x2e83e316,
+    0xc5c984dd, 0x4432f677, 0x10ff8a51, 0x1ec187c8, 0x4cd3a71a, 0x39a5041c, 0xa125dee8, 0x562e3c4f,
+    0x996d4f81, 0xe1b64d6c, 0xef8c0134, 0x889e482c, 0xc2f8007d, 0x20999be0, 0xd4b5f0af, 0xcdb18e52,
+    0x5916349c, 0x7165ba1e, 0xe7a23f43, 0x15b41a30, 0xebf9929b, 0xe8925207, 0x9c1e7552, 0x1bba629c,
+    0x8b90c9a2, 0xdb962914, 0x79d5d77c, 0x1f0aff55, 0x96a757af, 0xfe0c878f, 0x7de1f06e, 0xfe1d3844,
+    0x96564d2c, 0x080d95d1, 0x1b53aabc, 0xba6130de, 0x09013778, 0xa25eb59e, 0xedb0d20c, 0xf312cb63,
+    0xf3374336, 0x00b659bc, 0xeb0f8279, 0x7cdb8129, 0x803a378d, 0xac953691, 0x30a58266, 0xc8cfeba1,
+    0x9ecc112f, 0x749d864f, 0xf72b3560, 0x34ba6646, 0x831ad6e3, 0x0d4e21fe, 0x14173618, 0x6cc0b047,
+    0x1751b61c, 0xc5be2066, 0x4ae1e291, 0x960be39e, 0x5c3f2633, 0x6bacab5d, 0xf4d22bd9, 0xf0a73e2b,
+    0x7c2b747c, 0x04d354fd, 0x396d69d2, 0xdc99fedc, 0x3bbe444d, 0x4a825f01, 0x1f48a888, 0x2c6cb078,
+    0x68173263, 0xdf5d7064, 0x0df1670b, 0x4cbde479, 0x6cb08f9a, 0x928a9cfc, 0x96d266f0, 0x4e051af7,
+    0x06130e9b, 0x6c90e148, 0xcc4b8c39, 0x005627fc, 0xd68ac006, 0x04a57a07, 0x0c922b6f, 0x202fe8cd,
+    0xd5aa346e, 0x653ea50e, 0x3a6ddfdf, 0x557d492f, 0x0632e7d9, 0xf80d24bf, 0x8a43fcca, 0x85dcc564,
+    0x4886b500, 0x64ab8148, 0x3c9b0b48, 0x44c38ea6, 0x8d74dcd3, 0xf842f4dc, 0x0f9ca51c, 0xb1e09cc4,
+    0xf1b0d8f3, 0x847aec10, 0x75754a40, 0xab2f3ab8, 0xdc65c8ef, 0xd6710840, 0xd85f3fa7, 0xae30ff8b,
+    0xfb109c73, 0x4641823e, 0x7a22335a, 0x393a0631, 0xa96b57dd, 0x6fa4bb53, 0x82179954, 0xa14b1620,
+    0x405f8021, 0xcddc2236, 0x564ea7eb, 0x32f6860f, 0xe8b70b5f, 0x010943b3, 0x7c75d62e, 0x1c769f3a,
+    0x04acdc62, 0x3bd89dd5, 0xfd7f6d12, 0xc96b9274, 0xa209287e, 0xb658c6e5, 0x4e520dd2, 0xfed0c043,
+    0xa9c52ab6, 0x229248c4, 0xae71f6dc, 0x41428569, 0x6a27fcbf, 0x7a682c7b, 0xc9312c11, 0xefcc373c,
+    0xd183b9d1, 0x37d69c79, 0xbd264a88, 0x27ed3fa1, 0x035fce8e, 0x70d375da, 0x6b977d3f, 0x30f379f9,
+    0x8c6bc40d, 0xd4d67c28, 0xf3178839, 0xf299715d, 0x3b1bd91c, 0xba4532a6, 0x4488332b, 0x62f9e61d,
+    0x74cdea25, 0x5867a07e, 0xe7a88f00, 0x2dfcf056, 0x384497ae, 0xd7fa40ee, 0xa76fc6d2, 0x5e3d2d7d,
+    0xa4746c49, 0x69580540, 0xc926914b, 0xc5b8c07e, 0xc910b003, 0x5d294fe0, 0xe3acef4a, 0x222a938d,
+    0x630c9535, 0x513b8157, 0x431f4f10, 0x0d63f92e, 0xccc37f9b, 0x82cfd2b4, 0xf428919f, 0x78c094fc,
+    0x308e36a9, 0x727af7e9, 0xdac3daf8, 0x617c0bca, 0x1cab853f, 0xbeb1da6c, 0x2d543f6e, 0xd6174c37,
+    0x81765040, 0xcba637f0, 0xdf6fc9c9, 0x0e340fcd, 0x913bcee3, 0xebaaf5ed, 0x1333d3f1, 0xf4470fb2,
+    0x866d0383, 0x32300089, 0xd4941f80, 0x2b125e9b, 0x96abcff7, 0xf0f3b723, 0x90cc5df8, 0x9cf23203,
+    0x7f844ac0, 0x7413d6ee, 0xe8f74f8b, 0x550c71ac, 0x82ad787f, 0x63746ce4, 0x5ebb42c8, 0x50652bc3,
+    0x9952650e, 0x4cc7f0e4, 0xc8eec347, 0x5fa4a1f3, 0xc6f069e3, 0xf41f0493, 0x5357cdf9, 0xa8893523,
+    0xe59c756c, 0x11fdc1bd, 0x9a089e3b, 0x4e13e95d, 0xe14ea82c, 0x4ee139ee, 0xcb1dea9a, 0xed0221b9,
+    0x66230314, 0x4fe06445, 0xb944fe31, 0x18e3da05, 0x907499fa, 0x3d77daa2, 0x90a72005, 0x13e72abf,
+    0xf10bd915, 0x088b46ec, 0xf1bc07d9, 0xfe1b8612, 0x968e1e0b, 0x81f0d1df, 0x605fd07e, 0x1395db4f,
+    0x50330141, 0x0e56fe58, 0xffc3d39a, 0x87af4d7b, 0x600afbaf, 0x04cf2165, 0xc7f5546d, 0xd06df980,
+    0xfa34ce26, 0x35c4ad5c, 0x615838b4, 0x7c708d87, 0xb250a798, 0xc29c5010, 0x0570b2f3, 0xc0d445d0,
+    0x8b9a833a, 0x84d08c54, 0xe076c581, 0x563beda4, 0xabaa2a5d, 0xa0ec17d7, 0x77b11638, 0x8aba9ce9,
+    0x39d5dd70, 0xbc70c5c1, 0x87fad38f, 0x319f44b3, 0x7f402e38, 0x4925bb6f, 0xf0241646, 0xe9660e0d,
+    0x40434bec, 0x1447d8b6, 0x19bd4435, 0x9fae7fb1, 0x3342292c, 0x2a7b60fb, 0x4bc87954, 0x0df7773f,
+    0x67b24642, 0xf24b68a2, 0xc933a07f, 0xafa91e02, 0xdefd6ac8, 0x5fc4612f, 0x56bd0c09, 0x1ecc0dfa,
+    0x84383249, 0x4356d562, 0xc27f39d2, 0x0fa88225, 0xe88f1628, 0x620c683d, 0xe19e7760, 0x212b7ebc,
+    0x16c7d753, 0x3e565c61, 0xd1e9bba8, 0x39cc560c, 0xbb1efab2, 0xeee766a8, 0x3e5bdad5, 0xccd085c4,
+    0x4250eb1f, 0x2c30d046, 0x18ddec7f, 0x97ffc2a2, 0x4c2ee827, 0x3ab05895, 0xb4b435af, 0x69696024,
+    0xe036f966, 0xd5d95ab3, 0x81489f6c, 0x55540997, 0x7d410b63, 0xb7a5c090, 0xa38506ed, 0x640d5920,
+    0xbe980cdb, 0x096ffc36, 0xfeee3ae7, 0x48c1d569, 0xfcb04999, 0x9c18d67c, 0x267ce995, 0x0abce940,
+    0x9dab68e6, 0x463f920f, 0x71073430, 0x84b6027a, 0x788323e0, 0x9be37702, 0x4a519cdb, 0x9d696fec,
+    0xfd2780f4, 0xf839174f, 0x393bae3d, 0x6623bd8d, 0xe9bfc79a, 0xc4bd88cf, 0xc8b1079f, 0x78ae4a07,
+    0x9df3f2ec, 0xc65742dc, 0x9a6bc663, 0x62c9d5b9, 0x3e482811, 0x4cf3f85e, 0x9d6caf13, 0xa403942e,
+    0xba44553c, 0x3b96bf5d, 0x6eae27b3, 0x095e218a, 0xac1664a3, 0x2cf60837, 0x1b4b2766, 0x6a08cb6d,
+    0x3c021e3e, 0xeffd2599, 0x0b57d19d, 0xc0ead13e, 0xb4bdb66d, 0xc783df51, 0xe2461e35, 0x1a4bd640,
+    0x11f335e0, 0x7f685248, 0xb06035e4, 0x0d6c9897, 0x87a035e0, 0xba02ee7f, 0x0675f342, 0x68b14681,
+    0x8a96808d, 0xf01e2e39, 0x0c87bc94, 0x0a06f68c, 0xc2061bf5, 0xd3ea4933, 0xe85fadde, 0xa3376057,
+    0x1830a374, 0xa8d29f4a, 0x62c629ad, 0x069f9ffe, 0x6c3278b9, 0x50785a33, 0x500e7b15, 0x4898564d,
+    0xea15b492, 0x5df095c2, 0xce8fdee1, 0xf1287e2e, 0x40c8b2a3, 0x55a2babb, 0x908f0d18, 0x2358bfd1,
+    0x0c1e89b4, 0x07d51273, 0x70c3e807, 0x7fe62285, 0x001d6d98, 0x17b0152c, 0x4a8c2359, 0x09ff245f,
+    0x763ae439, 0x852e599a, 0xce89a8d2, 0x59e819d5, 0x7562ca76, 0x27b7ab7d, 0xb0f7de9a, 0xbebb219a,
+    0xb98be15f, 0x1e89ffe3, 0xa0025c14, 0x46412e96, 0x50cb9e1f, 0xf7b256b6, 0xbe8cd2b6, 0x67743166,
+    0xdf20faef, 0x98eac06f, 0x19bd1946, 0x49af2f6f, 0xdab6284a, 0x61ae6726, 0x34eb16fb, 0x69113cd3,
+    0x9c218e8c, 0x3ee57c05, 0x007048c4, 0x9a2ac4cf, 0xf5b00ab1, 0xb662b2fd, 0x83b297e6, 0x3f4e8380,
+    0x26aff805, 0x68b8d9db, 0xab136425, 0x4cab0172, 0x7e6062cf, 0xe41686d3, 0xa4b97bff, 0xa351822a,
+    0x556bc374, 0x4c118453, 0x6e15bf3b, 0x94982eee, 0x2ff04aec, 0x1a2922b2, 0xf0e19d57, 0xf76bb1db,
+    0x58c4f054, 0xb1d60480, 0x0a40ccd5, 0xe17aa593, 0x03d86539, 0xdd7c92f8, 0x85f58949, 0xe00635ba,
+    0xbf66435e, 0x21ac7b3a, 0x4cb5f179, 0x6277e22d, 0x0e2ff2a6, 0xd5206ce4, 0x46c44354, 0x698f989e,
+    0x8963e009, 0x7871793b, 0x448b3314, 0x97e0ca51, 0x1edf8687, 0xf4a3bded, 0xec115359, 0x9be1620b,
+    0x08ed8b08, 0x13c1d8db, 0xa89cf281, 0xfcf231c0, 0xd9c6ffbb, 0xdfc25717, 0x5ee1de54, 0xb2b3e07b,
+    0x1fc753a8, 0x1be9691b, 0xdc179533, 0xc3e89cb5, 0x4321b263, 0x4d42eaf2, 0x0362ef47, 0x93ebc80c,
+    0x343e1833, 0x332b245b, 0xc2d6f32f, 0xada7c132, 0xa242e5be, 0xc6e990e2, 0xb70bc2a8, 0x2f065490,
+    0xa7869675, 0x2d365ddb, 0xd1e168e1, 0x6afaa644, 0xae03fee0, 0x8ac97b47, 0x7d53fb20, 0xa421f3dc,
+    0xc4ab944c, 0x2a72c52e, 0x61d1ef74, 0xcbd732e2, 0x8f4e1a8d, 0xc52f73b5, 0xaf7d3bfa, 0x5b03b488,
+    0xab3107aa, 0x871ccde2, 0x9e410141, 0xbf19f38f, 0x3cae8da5, 0x61061e98, 0xfdbea642, 0x54ebe974,
+    0x1b010f91, 0x729cf6a1, 0x889292d7, 0xc3f803ae, 0x69a240e4, 0x58cfabca, 0x7ce48e0f, 0xe210b442,
+    0xd2694240, 0x2fd0ef33, 0x24347901, 0x0ee62637, 0x4829c3c8, 0x50fa9b04, 0x6dcdd143, 0x53f5994d,
+    0xba78ad44, 0xbfb6eefb, 0xd239de39, 0xb948c9ac, 0xd41abdb2, 0xc440e396, 0xeb4f5261, 0xce7e2584,
+    0x282adf83, 0x301aef91, 0x0a21d696, 0x32377e07, 0x50c2c303, 0xe6b37626, 0x384f50b2, 0x1f12d80c,
+    0x3f73d687, 0xb629c3b3, 0xa82558a3, 0x21056ca3, 0xe361b3dd, 0xb9da2654, 0x4beb0bac, 0xd3cfc74e,
+    0x4052e86d, 0xc2597af3, 0x89ce8526, 0xbd88950a, 0xc2d79898, 0x67a558af, 0xddda2fdb, 0xe7640b7f,
+    0x4dfadb85, 0x1fe85245, 0x64caa9c8, 0xdc3f361d, 0x886e23d7, 0x0df971df, 0xf95d9df6, 0xffde2787,
+    0xb079803b, 0x964daae0, 0xb17f59c0, 0xd53578ac, 0x6fd1221b, 0x5c16dcc2, 0x1cb3b135, 0x85b6c1af,
+    0x9bc12ec7, 0x38c6eed1, 0xa08c4a70, 0xdc989741, 0x0e86897c, 0x31f7701e, 0xcd9ad8e4, 0x291570be,
+    0xa59283f2, 0x665ae6df, 0x9256b41b, 0xbe6d89c9, 0x923ef15d, 0x8ebdf969, 0x77fdd5bc, 0x1e467f9b,
+    0x897cd88a, 0x71487257, 0xf79ba36e, 0xfe6a9439, 0x2008e844, 0x7e6c9e5a, 0xc4e87643, 0xd1c423dd,
+    0xb22a2005, 0x3fe7b890, 0xfdbf8967, 0x8c01fb5f, 0x491ec633, 0xb2ebf666, 0x4f5beac5, 0x30ec1f32,
+    0xb00e8a54, 0x29e5b14e, 0xafb7bedd, 0xd3354229, 0x0bcd9651, 0xa678b82b, 0xcf50c5c9, 0x43f4b830,
+    0x7a66f5d0, 0x7190b70f, 0x96d63223, 0x9a2dc8e5, 0x460faec6, 0x6133950c, 0x6b79d203, 0x1010086f,
+    0x387228f3, 0x16187159, 0xd62b6312, 0xac341347, 0x4193814e, 0xbf2b0fdf, 0x10e46c37, 0x12a156c3,
+    0x8e099f48, 0xc64870a5, 0xf2e56624, 0x92638e70, 0x43e711bb, 0xce0da307, 0xcbb10f4f, 0xfbe49f70,
+    0x2c340b9b, 0xb718e330, 0xac338942, 0x2db67ef8, 0x9a424c61, 0x15189d21, 0xc79843bf, 0xbc107168,
+    0x46dacb68, 0x321b1278, 0xda623366, 0xb96d1dd8, 0x6058ae0c, 0x7e3be6c0, 0x300c5b1f, 0x46b2b1e3,
+    0x5ea33c34, 0x088f0bcd, 0x6600f977, 0x00aa84b2, 0x7596d1ac, 0x0550d13a, 0x7be4a931, 0xf983c03c,
+    0xd93e1480, 0x6ce681b2, 0xcbf8ba29, 0x0df361c7, 0x0eb1eba7, 0x9ee216e0, 0xe04f2b34, 0xc45ad2f3,
+    0x6836b7ba, 0xd517f1c6, 0xa287e947, 0x1214861c, 0x1968e576, 0x387f7edf, 0xca955e5d, 0xce8c0047,
+    0x070afdf8, 0xe50967f3, 0x3f79d46c, 0x21342cbd, 0x9d8f64ec, 0xd5fc2514, 0x247e0a3c, 0xd182452c,
+    0x00000000,
+    0x257edfe8, 0xa3715fc9, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000633825300114114700748351602688 */
+  { 0x00000000,
+    0x915ea8d3, 0x8f3f0cfd, 0x3c3fc2e6, 0xb65c1c5f, 0xa24eb8f3, 0x5530eab0, 0x0e3607f4, 0x5451428d,
+    0x36d162d2, 0x079304a4, 0xdeb4bff1, 0xd0e32e46, 0xe94128fd, 0x4965e8db, 0xc067b003, 0x7b41d676,
+    0xb3d0e1f2, 0xb1a36f97, 0x6720ebc6, 0x4d11a74a, 0x81e33b87, 0x59572f5c, 0x88e705d5, 0x4c337c53,
+    0xd1ffd13b, 0x996c5ce4, 0x75a4fbf9, 0xf362ee7a, 0x5cf6575a, 0xdf2371a3, 0xe7e1e435, 0x3eb50eef,
+    0x14e8a562, 0x1ce2c178, 0x5547a9aa, 0x6e67f7a4, 0x4a55d34e, 0xe1ca2d9d, 0x14d95ee5, 0xa11cf133,
+    0x383db8c8, 0xfbec3c93, 0x925df455, 0x4901c166, 0x506604d7, 0x933d77ba, 0x9e9b0a13, 0x5c769999,
+    0xc2ab2a4a, 0x6d930e48, 0xf9a57440, 0x38db5820, 0x3c1643e3, 0x4c448f70, 0xed2e1c10, 0x90623387,
+    0x416a7873, 0x6fa32676, 0x31720ba7, 0x224b15ec, 0xc92edc90, 0x11a8dcbb, 0x21a45c4c, 0x393be6f5,
+    0x54362263, 0xdab68253, 0x5fac6923, 0x03465510, 0xd47370e4, 0x8aa02ef5, 0x7db07455, 0x4f318eb5,
+    0x99230796, 0x6f1323fa, 0x2fb66232, 0xce09781d, 0x798879f3, 0x47b11fee, 0xdf6ecdbf, 0xade98e51,
+    0x11391d46, 0x984d1a6e, 0xc874d035, 0x097e55fa, 0x87a6f45b, 0x1368204d, 0xf646599a, 0x29293722,
+    0xf2724a46, 0x4bae1300, 0x599fa1d7, 0x290a521d, 0x8509a87d, 0xeb173584, 0x2e9aa2e8, 0x9888fc00,
+    0xf4b724b5, 0x2aa5e372, 0xf35ace9d, 0x6286b8f7, 0xa167a1ac, 0x57ada7c2, 0xcb5e1c85, 0x00550796,
+    0x3452a453, 0x03f625f8, 0x4e6022ee, 0x2c617835, 0x6d877d54, 0xd3f449ef, 0xf291e064, 0x934a4563,
+    0x0c92fd4b, 0x95b36781, 0x26ef540d, 0x70be7a90, 0xe51dd872, 0xdc10f5ea, 0x498a6f2f, 0xd696d8c5,
+    0x07c8c443, 0x15b07759, 0x4cd4788d, 0x04c85fd1, 0xea84ce06, 0x2a062798, 0xd14dd30a, 0x87aef36e,
+    0x471e074b, 0x6233d45e, 0x78467ffb, 0x9652563a, 0x9551ddc1, 0x66a2d9d3, 0x59c2d06b, 0x98039b6a,
+    0xe4ac8713, 0x1ce50c93, 0x5fd268b4, 0xadaf9ad2, 0x0ef3f9ea, 0x6f50c71a, 0x28e6425d, 0x2d2930f1,
+    0x938ae60e, 0x5a4a66be, 0x40f9ef33, 0xda9bb861, 0x89bcc603, 0xc39729ca, 0x217e095a, 0x5ab25645,
+    0x36b384a8, 0x6b4b8d4e, 0x3637aacf, 0xf6c2dd48, 0xf630f5c4, 0x2f7d63a2, 0x0939a698, 0x82de5e37,
+    0xdebe6b27, 0x28e7f644, 0x5b955dc6, 0x5959c844, 0x5d8823e1, 0xb44e52f0, 0x6777714d, 0xf84f2b88,
+    0x4a111f80, 0xb26b14a3, 0x1be7ece3, 0xcd24fae2, 0xc6aef8f9, 0xcbdbe518, 0x00763390, 0x696fdb51,
+    0xa9197ce8, 0x4b09b24e, 0x546848ca, 0xe91ecfa0, 0x9b1ec214, 0x562e15f1, 0x20b06a4d, 0xf1b3f182,
+    0xd6e629b8, 0xd2b823bd, 0x46658c5e, 0xb54ce523, 0x8101cc38, 0xa19146cb, 0x2cb135e6, 0x0c937afa,
+    0xef75768d, 0xb0c8f445, 0xda69df8c, 0x1ac52074, 0xb11124ee, 0xf562b9eb, 0xccec44f8, 0x771a7298,
+    0x9b1d1eb5, 0x894554d2, 0x8d364cfb, 0x5188a83d, 0x11126134, 0xc641e191, 0xe8ab45d5, 0xae5b41c3,
+    0x352c7cf0, 0xf6b52a0a, 0x8034c7bc, 0x2f3b05d2, 0xa0261482, 0x67cc34e9, 0x6d2a01a2, 0xefcbb68e,
+    0x46c4905f, 0x4f529813, 0xbfcc9544, 0xa8dbc715, 0xb881d880, 0x31869bd0, 0x05cdda2b, 0xb0ce6602,
+    0x0a7ea719, 0xd33c4c5c, 0x59d52406, 0x7bfbd629, 0x3e8f313f, 0x8272555f, 0xf49b7671, 0x3919e103,
+    0x287e0fb9, 0x5a186f13, 0xb6f38163, 0xdf0e3faf, 0x554b51ef, 0xb96d6d8f, 0xb84a70de, 0xde749b92,
+    0xa411f98f, 0xf14ef862, 0x231ee8b5, 0x651afce5, 0xd1fd43bb, 0xdcef80ad, 0x32c47692, 0x2472af9a,
+    0x3faf33cb, 0x87ae073c, 0x2ad43483, 0xcabed0f6, 0xe7df5d87, 0xbe20c7aa, 0xdb017268, 0x2e0b6ed0,
+    0x5fbfd16f, 0xdfdb3566, 0x34ee7837, 0x95e63afc, 0x910a9253, 0x5286c501, 0x23e4ca86, 0xd18c8b44,
+    0xcffef8a9, 0xe8aa17be, 0xfa5b38e6, 0xd14a4353, 0xd3f6c200, 0x75e791b7, 0x2513d679, 0x5e50b711,
+    0x22c9e0f7, 0x9e4b4d5c, 0x2cd7a240, 0x5318bec7, 0x94ad4206, 0xb329b8f4, 0x5c1182f5, 0x9c050bad,
+    0x09d8c693, 0x872c20c1, 0x74c7356b, 0x56be6056, 0x67be86b3, 0xb4e4130a, 0x1a9171d5, 0xedf432ba,
+    0xe9a90cbf, 0x8c6e5b93, 0x212b43b6, 0xd7cdfd96, 0x736d327b, 0xd3f30872, 0x11be7f09, 0x44b7e89a,
+    0x3c74ad0d, 0x424a7e44, 0xef6984f7, 0xd3dad1aa, 0x0784037e, 0xe15a4266, 0x6ae64a87, 0x31889842,
+    0x889b6d9d, 0xf8f34407, 0x33455b49, 0x8f3dec61, 0x98fbae0b, 0xad4c6f57, 0xf5379d3d, 0xfdc50221,
+    0x5428cb6a, 0x5abf5d05, 0x04a2daf8, 0x53f2e4f3, 0x7efbe727, 0x013f06a8, 0xd101ec3d, 0x06dcea49,
+    0xb60db3e7, 0x9f74d05e, 0x3818a1ea, 0x500bc618, 0xa3567b59, 0xf6ab7f59, 0x28876f1d, 0x743933d0,
+    0x0f6b011b, 0x569ca5b8, 0x4c71131d, 0xb3ed362b, 0x468a5030, 0xd1c5bc6c, 0x2e7bd438, 0x17a58d80,
+    0x95c721d4, 0x5893b110, 0x2ca67ecc, 0xe59c6d8a, 0x7a45da7e, 0x259fccc1, 0x9bf2edc8, 0x48f53a92,
+    0x4053d762, 0xa28f585d, 0x6a50d1ff, 0xae927ab8, 0x56c4fe46, 0x4abf1704, 0x08dc3339, 0x0925053b,
+    0x857826d1, 0x94db27e9, 0xd51300b3, 0xad6a1eec, 0x08c9b99e, 0x62295c16, 0xc98c59fe, 0x005d5978,
+    0x1dc3642e, 0xec4126d6, 0x2913af73, 0x078eab16, 0x34e4e942, 0xd0fc8f02, 0x78f14b3e, 0x4d6f8411,
+    0x53c631d9, 0xcd8da41a, 0x98404128, 0x6bdab51c, 0xdd921216, 0xbfc02190, 0x72a929dc, 0x8b87a9af,
+    0x789e2ccf, 0x4d162deb, 0x4fd71cc7, 0x43505023, 0xca10055a, 0x9bbd9e1c, 0x2116e303, 0x348f4095,
+    0xc4c83c72, 0x82123e0f, 0x07211061, 0x2e4ed8d2, 0x60a7e65b, 0xd91195d9, 0xa53f2823, 0x9af9a088,
+    0x5045dd52, 0x87c764e6, 0x552df012, 0xef07e6b6, 0x1c383832, 0x12c9718b, 0xdcd854cc, 0x725470cd,
+    0xc1482472, 0x8b621360, 0xbd6cff9c, 0x4231022b, 0xc4fc9f86, 0x13b93903, 0xce25b0cc, 0x3e63bd8b,
+    0x924f67fa, 0xdf8316cf, 0x636cc3ed, 0xa3ec472c, 0x4e5e0057, 0x59cf7d01, 0x4b3850ef, 0x7f400035,
+    0x0d094f29, 0x18900ede, 0xa1642a28, 0x9e59d037, 0x2073f64d, 0x6d9b27dd, 0x20be58a2, 0xc9f18282,
+    0x00dc5854, 0xc3cb0c8a, 0x7a5d6cc4, 0xcdedf3c3, 0x7cc83cbf, 0x71da1fd5, 0x9265b3cb, 0xc652ae7f,
+    0x4f722fd6, 0x746f87a4, 0xb5455905, 0x1f82e72e, 0x5d9761bb, 0x51bfa204, 0x20dc3f01, 0x4ef1ce08,
+    0xcc68c036, 0x21d4b702, 0x07cc3705, 0x3137984a, 0x21498c26, 0x7744617f, 0xff11521c, 0x11151a96,
+    0x633be280, 0x5a5bf612, 0xa9f16f80, 0x84c1e16e, 0xf9fe322e, 0x3ecf6f3f, 0xe1558884, 0x074c4016,
+    0xf6717340, 0x1c7651db, 0xc7ac4952, 0xff7e219f, 0xfb39a5da, 0x58db3ad7, 0x339d8e47, 0xf1fab111,
+    0xb94c43f5, 0xfcf357a8, 0x7a8a5cdf, 0xe9fce9e1, 0x3d1a6c6f, 0x1eeba8c7, 0xe294ca12, 0xd6d0fa98,
+    0xb580af9d, 0x70e2d24a, 0x9f8e033b, 0x98ae093d, 0x646b0426, 0x35d1be06, 0x63e90836, 0x98d8b9e9,
+    0x145ac49d, 0x30821088, 0x18d48630, 0x30f5ad64, 0x3480ea5a, 0xe9b2d01d, 0x89190fe1, 0x3817d9e7,
+    0x00394341, 0x746a061b, 0xe8b62f6d, 0x33751407, 0xdcd93fae, 0xe860357b, 0xe17150cb, 0xf614116c,
+    0xd8801d88, 0x1b08216e, 0x248901d9, 0xad202d24, 0x51eecd86, 0x2c40c5d6, 0x14c7b357, 0xceb7de91,
+    0x3a411af7, 0xdea90adb, 0x8a5a157e, 0x2c07d614, 0x80a99ca9, 0x7c91bd80, 0xfda843d0, 0xeb7f2225,
+    0xad748f8a, 0x0b1a376b, 0xbdc91d3d, 0x71777ac7, 0xd0060619, 0x31d39e32, 0x76e61a95, 0xf1bd2678,
+    0xb4e16c45, 0xa5cfa8f7, 0xf401eacd, 0x824cb79e, 0x88852648, 0xb7d0cfc3, 0x4f0123a0, 0xf503f0aa,
+    0xb81f0bd1, 0xef3dab75, 0xb7c4118f, 0xf1bc4941, 0x88706be7, 0xebbea5d0, 0x2079fbbf, 0x539ce91f,
+    0xc8534cac, 0xb9906d6e, 0x2fa93f83, 0xcf0fddf2, 0xb6503041, 0x38814c4f, 0xdf5f3902, 0x6b9efebf,
+    0x1f7f9475, 0x2f219453, 0x76f09c1f, 0x86caec83, 0xb84fb696, 0x7043f763, 0xc52e9bee, 0x2269fd44,
+    0x44cca218, 0x24397b87, 0x25011962, 0xf81f6c0a, 0xbc6d4724, 0x53629dba, 0x6ce27af2, 0x009ffc10,
+    0xda5b54ea, 0xdf7a9721, 0xe45e8433, 0x6f79e5e2, 0x9529404c, 0x5a3d50bc, 0x85464bb9, 0x042fc9d8,
+    0x1f38084e, 0x0fa41676, 0x1ecf6481, 0x0da4683c, 0x7e33d7d4, 0xf325d3c6, 0xa5b6e041, 0xe250755e,
+    0x94894543, 0x6f7f9592, 0x438ca82b, 0x4b140658, 0x12aa5dde, 0x7abcdc95, 0x3eb99403, 0xc071c36b,
+    0x666e414e, 0xeed7909a, 0x3da344e7, 0x11da90f3, 0xfe2a4cb7, 0xd53d5ccf, 0x55a772dc, 0x7e1dc471,
+    0x135b4cf5, 0xa230156d, 0x2e0cc0d3, 0x39fd3273, 0x23587762, 0x32e788f7, 0x2378f89a, 0x7efd72a8,
+    0x76094875, 0xa7da599f, 0x9a3aebdc, 0x9b6f98c1, 0x72f3bf8d, 0x72a6def5, 0x4d24990e, 0x1aa79538,
+    0x29545324, 0x78bc117d, 0xfaf1f804, 0x64b8f22b, 0x5d5e4c4b, 0x7a47f0ab, 0x377a3ac8, 0xfe98cb57,
+    0x0c5a9808, 0xcadf0a9e, 0x2bd81b7d, 0x63c981fe, 0x7996602d, 0x73fb04e9, 0xde5f3271, 0x98d1a5d3,
+    0x53aa0866, 0x420aec73, 0xccb6ad33, 0x7c952f9c, 0xeeea2620, 0xf4d84357, 0x337806e8, 0x13c81500,
+    0xcbf0c129, 0xf60b1ba8, 0x03808af3, 0xb1031e33, 0x5ed9196e, 0xb8bf54b1, 0xebbfcd88, 0xa1edf84e,
+    0x14732246, 0x662dd911, 0x8a878260, 0x38ebbe5d, 0x1f2dd886, 0xb77c5d45, 0x67390640, 0xeb8b9730,
+    0x85e25c58, 0x629ea838, 0xf9ebf14a, 0x44f1292c, 0xa5b32d78, 0x77f54ac5, 0x68a38434, 0x30c4231d,
+    0x55246d67, 0x6e996793, 0x321ab178, 0xc365a1dd, 0x032f8cc0, 0x5311436e, 0x5e2b652e, 0xf3f34f83,
+    0x29b6d914, 0x828dadc3, 0xad3e4458, 0x8b157d10, 0x16dbf528, 0x3c1ff210, 0x4d7c6212, 0x9cb59371,
+    0xf5a59a73, 0x65bf5787, 0x991b4dc5, 0x6845cbdb, 0x5fe80dd9, 0x837d88af, 0x93b39a51, 0xf74be1cf,
+    0x9f0bc7a5, 0x08ec60ba, 0x00b2d905, 0x445a4914, 0x627e00a5, 0x0a8bacfb, 0xf95ceaa2, 0xb34d1972,
+    0xc03863b8, 0xb47bc3a3, 0x08ba02cd, 0x618ad220, 0x1a5127a1, 0x43cd1c78, 0x66fe5f18, 0x07677720,
+    0xa426d278, 0xf3db66df, 0xdae43aa8, 0x516e326c, 0x0caa0360, 0x1f577847, 0x028147f3, 0x3eb83e1b,
+    0xb77a0e75, 0xf4341c66, 0x5378d470, 0xf2360ff4, 0x4e30afe6, 0xbde26b01, 0xa2a78acb, 0x244498cf,
+    0x0e6668b6, 0xa53948b4, 0x40973963, 0x3c80b036, 0x148e489a, 0x7e46c7a9, 0x63dd0489, 0x1dd05786,
+    0x44d570d0, 0x3645a166, 0x2db7ac6f, 0x9921815d, 0xf31487ed, 0x15a201eb, 0x51f111eb, 0xade90100,
+    0x3b6aba89, 0x7fb86d84, 0x33ae7a68, 0x58343753, 0xd86546b1, 0x6ac9f389, 0x01ea6624, 0x8cff95d7,
+    0xe767e4d5, 0x25bc8d2d, 0xa6a7a68f, 0x2e0da997, 0xc726369d, 0x4c1dd56c, 0x4a3a5a0b, 0x371b7808,
+    0x5966033d, 0x005064e4, 0x055e4f96, 0x4540a897, 0x5c8d9f49, 0x0099a8e0, 0x738d718e, 0x0edc751d,
+    0x1a930547, 0xc530b8fa, 0x55897845, 0x65ad8efe, 0xd4c58eeb, 0x17a9dfc1, 0x6860965a, 0xbdc0aa99,
+    0x5b56789a, 0xacb8c919, 0x8afeb03d, 0x5fb2b126, 0x6da3fe2f, 0x1ff28822, 0xfb47e76f, 0xb577ff95,
+    0x50f6fc0b, 0x6ef4e019, 0xf9d53b9e, 0x20a0acf0, 0x2023a3bd, 0x733f271d, 0xc1f3f494, 0x6b9ef91c,
+    0xd9905f40, 0x11404ad3, 0xff64b8b6, 0x7289a859, 0xd28f6f5b, 0x53fa3472, 0xabba7aea, 0xb281266b,
+    0xbe954020, 0xfce71e5d, 0x39b7f68a, 0x1ddd4b41, 0x6c7a808b, 0x72f3734c, 0xd1f8d0dc, 0x7245017c,
+    0x0ea48191, 0x9aa29da0, 0x7d9945a6, 0x305b3915, 0xe3c31d65, 0x1d2a3395, 0xbe31d089, 0xa09b56b5,
+    0x4a60b9c9, 0x27680a96, 0x10374ff2, 0xe2109b20, 0xf9b4fa02, 0xb2b6d614, 0xd53b2104, 0xde113deb,
+    0x7e25afba, 0xc616fb4a, 0x626bb14d, 0xb5d1a63a, 0xc4123816, 0x415c5801, 0x638145f4, 0xec42fdd2,
+    0x34e769fb, 0x9896c239, 0x690a1838, 0x47d98945, 0xe343b2ff, 0x531d13c0, 0xde178f25, 0x7c81386d,
+    0x33855aa7, 0x29bbad94, 0x57241b6a, 0xb347ee99, 0xabc3ae0b, 0xf539bea1, 0x483458d6, 0x2a1ac041,
+    0x10854b33, 0x8dffdbb0, 0x15f2cf73, 0x562bfada, 0x4fbe94b0, 0x1942b753, 0x419e2c58, 0x097947c3,
+    0xb488725e, 0xd0e4e196, 0x5bb81db2, 0x5671757d, 0x5494bb9d, 0x8c1eae57, 0x37024838, 0xf675ded3,
+    0x691c930e, 0x1a2d8531, 0x122ad41f, 0x70eee04c, 0x1d2c4c83, 0x6d8fc023, 0x89dbefc8, 0xa33b93d8,
+    0x05c217c4, 0x685815c7, 0xab95be1b, 0xbeeda866, 0xce8b6880, 0x68e58025, 0x058662bf, 0x2d25e0c7,
+    0x33bd0d16, 0xfa9a3e23, 0x36f93118, 0xddbaf382, 0x9f5ea6fc, 0xc5744845, 0x48d9f488, 0x600f7163,
+    0x566aef2c, 0xa33b18bd, 0x2aea79cc, 0xa9d5888f, 0x07d8419c, 0x84a68a96, 0x5e44cc21, 0xccaa7312,
+    0xa34cb690, 0x7160e8f9, 0x46cd97c0, 0x9b045ecb, 0xf8b2944b, 0x152e0da2, 0x7f23ec95, 0xffa02c00,
+    0xe135d9af, 0x56b17a9d, 0x8b98c3b1, 0xed834e07, 0x9440a540, 0x8aeca821, 0x3c4262bf, 0x9a119765,
+    0xf684a738, 0x6e3d0692, 0x967fda42, 0x8cc7b692, 0xdeeb9d4e, 0x3ad007d0, 0x20a9d504, 0x3c393cac,
+    0xf16a0d09, 0x48696ebd, 0x2e5b9caa, 0xbe9a4647, 0x0d07ffa9, 0x81d85f5a, 0x365e7f74, 0xe6cc49f0,
+    0x54a9f86e, 0x8f785f05, 0x70b11664, 0xbd1bde48, 0x254eb277, 0x0e7675fa, 0x5cf799fd, 0x703be2a7,
+    0x0615d24c, 0x499678d8, 0xafaf7f45, 0xac10f7d7, 0xe8036a6b, 0x5c5fdc63, 0x3e42e311, 0x1b92fb46,
+    0xb71505cc, 0xdeb86011, 0x1b28884f, 0x69199c48, 0xac557456, 0xfdc33123, 0xb3aa77b8, 0xbde3dad6,
+    0xa0c16113, 0x50472160, 0x9616359d, 0x3fd2c0b0, 0xc5241a05, 0xb51e4915, 0xf07b3803, 0xd5f1f881,
+    0x40846e00, 0xc4bba79a, 0x751b519e, 0xa1e96289, 0x3c29b6cf, 0x31d28e77, 0x2d79ab4c, 0x3ea36bd9,
+    0x1467be11, 0xd5fe5289, 0x890652ff, 0x340062d3, 0xbee6daee, 0xba5092fd, 0xb5b48d27, 0x3028c04c,
+    0x28e3d98d, 0xeafa3dd6, 0xbcde9bc4, 0x887de6e8, 0x91ab633c, 0x23579a59, 0x7736d069, 0xd2d7319f,
+    0x7abbba4a, 0x48339aa1, 0xac6a922d, 0x81f584b4, 0x805255fe, 0x829b67cd, 0x173629fb, 0x3ff57081,
+    0x01918d6e, 0x77ed13d6, 0x03b27890, 0xe2aa624d, 0x52c13a7e, 0x55c95556, 0x80a49101, 0x77863d1e,
+    0x277c5dee, 0x7cb56c39, 0x789a74d4, 0x472e2ca1, 0x48075cb3, 0x1d8f834f, 0xac4c8520, 0xd04759fd,
+    0xb3a7054f, 0x88a157b9, 0x38c03191, 0xd2f553aa, 0x536ea486, 0x6b06bfb7, 0x0e6febab, 0xd13eb5ab,
+    0x74c9d0a2, 0xd3bb0194, 0x182266ba, 0x5ede1027, 0xa2cee65f, 0x3d0cc01d, 0x1304a610, 0xe7973aa5,
+    0x00000000,
+    0x92bf6ff3, 0xd1b8afe4, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000316912650057057350374175801344 */
+  { 0x00000000,
+    0x5c34f72f, 0x03d93f0f, 0x1b137ad7, 0x85b5ec72, 0x5de8c8ed, 0xdc67a0cd, 0x1582a74d, 0x3eb08c8f,
+    0x59379c88, 0xd8b7162b, 0x60870eb9, 0xa1820971, 0xa4d1db4e, 0x98c3de9d, 0xdb2502ec, 0xce6c75e0,
+    0x936cf785, 0xa134950b, 0x822da067, 0xc2a1ccda, 0xc6b34577, 0xf3cd7e45, 0x0a8dd35f, 0x085b14c1,
+    0xb842d203, 0x8e26fa48, 0x04eb9e87, 0xaec21b1b, 0xddaf146d, 0x2ab559a0, 0xabaa8ef7, 0xfaf30116,
+    0xa21f49cd, 0xbd78b5ef, 0xd69f3227, 0x889cb8b4, 0x24a969aa, 0xe348bf40, 0xfe79d66a, 0xdd1f172a,
+    0x878b05d4, 0x84e577c1, 0xf2e88576, 0x61861e75, 0x8ac21971, 0xe487ec92, 0x6be56edb, 0x2de6ee9e,
+    0x95345d7a, 0x6e40ab3f, 0xe3cd3db7, 0xc15c8466, 0x33d5af93, 0x61f92e8e, 0x28607ea5, 0xc1304849,
+    0xe25427ef, 0x2a2dab3a, 0x77c80ab4, 0x77369b8e, 0x36255e24, 0x1f7720fd, 0x26b72b15, 0xe6921eb5,
+    0xc562c597, 0x5b28ab5c, 0x3fcd8f76, 0xa4a12dd5, 0x7400d89e, 0x7abf15cc, 0xd72c1891, 0xee59cc45,
+    0x6e39317b, 0xa3d302e0, 0x10517992, 0x0d270e75, 0x220d2c9a, 0x3b173004, 0xa2ed2224, 0xfa8d2eab,
+    0x33d87227, 0xfafadffc, 0xa6e9ee88, 0xce59ebaf, 0x8a68472d, 0x493626e5, 0xebe9dbf0, 0x9aa184a8,
+    0xf2ea9b9d, 0x1276e5d0, 0x5cb58433, 0x89043efe, 0x6784c28a, 0x936fe21b, 0xb7ded838, 0x73734c7c,
+    0x47162db7, 0x9bc03017, 0x75ee33f2, 0xdfd35a21, 0xe6b4ea1f, 0x5a2e5077, 0x06e2325b, 0x72e9f044,
+    0x713cfb76, 0x627db9dd, 0xf13c094e, 0xbdc950d7, 0x3c7b77c0, 0xe73a756a, 0x860ca71d, 0x858b89e1,
+    0x1289dcf6, 0x284df699, 0x5c7dc3a8, 0xf6cf1cb5, 0x23235777, 0x52bf8be9, 0xee7bfb59, 0x7bd1f426,
+    0xbec2e015, 0xc17b69b5, 0x745e0170, 0xf2c3a2dc, 0x9351c0ff, 0x0166603f, 0x40679af5, 0x6876ef5d,
+    0x546fe0da, 0xf191c1e5, 0x7f123e7d, 0x097a6e1b, 0x06c9776c, 0x1186fd67, 0x967d310d, 0x9f79da79,
+    0xd098496d, 0xbf0aff97, 0xefa72aeb, 0xafd9a1d9, 0xd4334eb2, 0xeefe25ec, 0x6b11caec, 0x1c60b061,
+    0x99042cf9, 0x7f319ecb, 0x1d920eea, 0x9045498a, 0xd9c1b0c6, 0x79bbeca8, 0x17f62930, 0x53ba531c,
+    0xba4eb97d, 0xbcd1d44d, 0x3b995a72, 0x2b0afa1b, 0xfa48310a, 0x52bbe3ac, 0xb3bc7e82, 0xbec5082a,
+    0xae084f4d, 0x2f36f92c, 0x0b30cd22, 0x2a5576bb, 0xca352e67, 0x1fd603d7, 0x73d1b9b9, 0xbca871bb,
+    0xee0641e4, 0x190d6610, 0x9719f124, 0xd7d2d410, 0xfa8ee7f1, 0x76dd76ff, 0x68f10f39, 0x3f7a3a33,
+    0x33ed3ae2, 0x21ecf56e, 0xf8d65038, 0xd3a1077c, 0xe77a4b37, 0xd258e01d, 0x67b02c67, 0x82202703,
+    0xdbf10186, 0x223f28ee, 0xb11d9687, 0x2ad42144, 0xdaae26d7, 0x4845a69f, 0x9b1b81c2, 0xdc628488,
+    0x725292a1, 0x26c2eafa, 0x5b242907, 0xd8f527a7, 0x19b807e3, 0xca7fda96, 0x8e2790de, 0x00030003,
+    0xa9d5e01c, 0x20e23057, 0xa9b1462a, 0x998ffb4f, 0x7515b2de, 0x4e79052d, 0x3c72e9b5, 0xacddfca9,
+    0x3bad96a3, 0x2bcaa72c, 0xff102fcb, 0x1e5bf3e1, 0x93e505a8, 0xd0499453, 0xb2019367, 0x651394ac,
+    0x206869e5, 0x218e11a8, 0xadfc9c8b, 0xcb70a43a, 0x62a50d14, 0x1f7d6149, 0xdbf0618f, 0xf8de6fc0,
+    0xf80a2ef3, 0xa9dc3950, 0x142ff765, 0x77deb56f, 0x3019463f, 0xdbf08ca6, 0x826dd005, 0x872fd862,
+    0x36dcd0fd, 0x5ad2f3ce, 0x5c2b229b, 0xcaf3fe96, 0x230f2d2a, 0x2262b2e3, 0xbfa0fb22, 0x606a7861,
+    0xdfed01fb, 0xa4295cbc, 0xea012d2c, 0xf72b8344, 0xb9b76ce0, 0xb44f1bc3, 0x5ff029ac, 0x814ee27c,
+    0x4f0a692e, 0x4d103c9b, 0xd91ce9ee, 0xbc8fc7fa, 0x157f95c1, 0x3af342b6, 0x9510b0be, 0x4d2e68cc,
+    0x12fb7f83, 0xc0ee5184, 0x88d14517, 0x89af8419, 0xfd00408b, 0x1816ce65, 0xe15d13c3, 0xab841de0,
+    0x5ef00d0d, 0x23b9264f, 0xdee097e1, 0xea737162, 0xc7f5aaab, 0xb5e98a8d, 0xffe02981, 0x076839af,
+    0xf504c2e2, 0x83789ba7, 0x427462d8, 0xc560cf45, 0x5165052b, 0x37bc3f4e, 0x6109aa7b, 0x843f6297,
+    0xf003d4fb, 0x503e206f, 0x9a982b60, 0xd1fe3e58, 0xec27fb82, 0x695b3538, 0xf6aa126f, 0xc1b8c43f,
+    0xc2bc5b3b, 0xe9c2cf96, 0xcad36cac, 0xdcdd307d, 0x716f196e, 0xa962f557, 0x26d9a1aa, 0x2e30a560,
+    0x9951d623, 0x0b2952d7, 0xfea63de9, 0xf096b77b, 0x4e31df36, 0x285d4b88, 0x5f6637ee, 0x4a3cc030,
+    0x56ac04b5, 0x17ec9ddd, 0x9ef0f462, 0x6a229724, 0x9d090749, 0x6763d890, 0x017e709a, 0x45de50d6,
+    0xe5f86138, 0x66c0be20, 0xb605a138, 0x120bd2eb, 0x5e45400b, 0x820a607f, 0xbb049d08, 0xdf5402ab,
+    0x0270673f, 0x3ecaddac, 0xdeb46d31, 0x4c52cdd0, 0xb7e28d9c, 0x3cc8ab5b, 0x5d441516, 0xbd15535b,
+    0x3ffcbd0d, 0x8b0aeaa6, 0xb22add78, 0xba888ae3, 0x1d917c5c, 0xd0ee1067, 0x3431c6e4, 0xe49e7842,
+    0xe4b6c779, 0xdcdc5368, 0xb33062c0, 0x333406ba, 0xcc0159eb, 0x606633e1, 0x5ff8f8ed, 0x669d6be8,
+    0x32aa6fe7, 0x56473991, 0x9d8c39c6, 0x95d3fe9e, 0x1b10e554, 0x49087fbb, 0xaabf9036, 0x50e2216b,
+    0x77e8aea6, 0x817d41c0, 0xc87a04e9, 0xc102f59c, 0x1ae91e8a, 0x4d3529a5, 0xfae86589, 0x324fca5a,
+    0x4f49b589, 0xaba8e1ef, 0x8089e222, 0x2124e10e, 0x4ff745bb, 0xbf1d58d2, 0x56886584, 0x1ee5bb86,
+    0xcd752989, 0xbfd7fb20, 0x476c90fc, 0xb7da3949, 0xb4362f3b, 0xa644c090, 0xde90875d, 0x98e96034,
+    0xe7c88123, 0xf8e17e87, 0x2484f889, 0xee974ac6, 0xb20f1712, 0xdfb2779d, 0xd563c153, 0x3fba1fe3,
+    0x62bd1c4e, 0x244d6a92, 0xb2b59cd3, 0x3cde4b8b, 0xf5b29d75, 0xbe6430a5, 0xc0b9b851, 0x67669b35,
+    0xe49bc4c2, 0xc4016593, 0xabfad9e0, 0x192be898, 0x774683f8, 0xa029f908, 0xb5e4cce4, 0xf8a6f1bd,
+    0x2d565de9, 0x08fc2414, 0xb208f465, 0x59fb3069, 0x42c548a1, 0xa25b9bad, 0x39b3e25b, 0x7b34d32c,
+    0x88be3061, 0x1db21719, 0xeee4bb65, 0xd78ec408, 0x53ad0d30, 0xa13600ac, 0xd42bbee1, 0x56d6ae72,
+    0xa3cd95bc, 0x7a92c85b, 0xb136f8bd, 0xfb2e27e9, 0xe22ebf04, 0xd561fde8, 0x89ef47b6, 0x8954854c,
+    0x8467f517, 0x6a14f7b5, 0xf4d07656, 0xa2382097, 0xf48e20ad, 0x0e74a2f4, 0xc3afd022, 0x52596229,
+    0x691eb0d6, 0xb81eeeba, 0xd3e5a67c, 0x6bdfc9e9, 0x133fe5ed, 0xb0e2b164, 0xbcdc66a3, 0xf8090342,
+    0x2c58ffcd, 0x984c9dc6, 0x7f43b77b, 0xc17ee6b6, 0x2d8120d2, 0x0bba2875, 0x9fc735ca, 0xab5812ff,
+    0xd596d935, 0x47c6552d, 0x83dcb77b, 0x3a8c681a, 0x7888634e, 0xb95d7402, 0x21ba99bb, 0x622b83b7,
+    0xaf02eade, 0x1a55c02f, 0xf58e5129, 0x23174e15, 0x6abbe19f, 0x42cc3557, 0x1b3277b1, 0xbea93f9c,
+    0x2f399d02, 0xc0517b21, 0xd6ee738b, 0x9d8738a7, 0x3f59fba3, 0xbf84eddf, 0xc5f66205, 0x2c426620,
+    0xb3cb1f1c, 0x8343db32, 0xe0e794f3, 0x34334d52, 0x572d56a7, 0x8b694b6c, 0x27feea37, 0x6397e687,
+    0xbbb6a361, 0x8dfb3333, 0x70fbe61f, 0x63ba6a07, 0xeceec092, 0xa78194c4, 0xd477e126, 0x2c97fd17,
+    0xcc3d2727, 0xc00a0819, 0xc30e0ae5, 0x7c715547, 0xc4aab728, 0xfae6c5cd, 0x6f9fd11f, 0x02493838,
+    0x66d937d5, 0x206f76b9, 0xea18ec99, 0xf8494214, 0x10954fb0, 0x006b7eb4, 0x63d2c84c, 0xe0670512,
+    0x1fa6a7f6, 0x30e47da5, 0x1b763ab7, 0xff3eca24, 0x537c90ab, 0x5744c70d, 0x3187b6ff, 0x487702de,
+    0x3777e33d, 0x28caf457, 0x414c7ed6, 0x47900f2e, 0xd54c651c, 0xf59f7a84, 0xf40d51ca, 0xab4adaa4,
+    0xcc02c2fb, 0xb67fa519, 0x54c7e774, 0x9a941e69, 0xa3dff78a, 0x0eeeec7b, 0xd23fb5a3, 0x29077595,
+    0x6693e0c2, 0xf3c29c05, 0xc885f90d, 0xe9a1a9a1, 0x4dabc8db, 0xfc456f52, 0x89970d43, 0x92039d12,
+    0x5d74728c, 0xb244c5df, 0x3385904b, 0xdeaf6a07, 0x87c75640, 0x89a80710, 0x029b104b, 0x6f3a1bb1,
+    0x6de04373, 0x08714ab2, 0x5def733b, 0x437132ef, 0xf03870a1, 0x0e701d39, 0x17ef46f8, 0x10cc817c,
+    0x993db22d, 0xf35f7629, 0x3f672a81, 0x188d4e36, 0x7c5fa309, 0xbb80ddc0, 0x1347066b, 0xaf9e912b,
+    0xc79fc4cf, 0x8276ac2e, 0x37492595, 0xcdce17dc, 0xdfb36bab, 0x6b755f11, 0x8de7154e, 0x5c07a04b,
+    0xd16bb47e, 0x3927b2f3, 0xcce4f95c, 0xc9079db9, 0x352fe8c6, 0xe03c247c, 0xa298f2ae, 0xf5ef8f65,
+    0x1fe1d88e, 0x9cd0ab20, 0xb58fc1f3, 0x6b477c24, 0x6cdf124c, 0x53f310f3, 0x9ae3253c, 0x049d96c2,
+    0x451d1faf, 0xe8b62f25, 0x8616e5aa, 0x7efed8ee, 0x446f3c18, 0xa0cdef1c, 0x2db7a976, 0xe6b3deb2,
+    0x2d2fa3d8, 0x63ff8d88, 0x0dc6aaa3, 0x4b1f6162, 0x26d570c2, 0x6cff65d3, 0xe8abda94, 0x1193a03a,
+    0x7e6542fe, 0x7c6be04a, 0xcae9531c, 0xecfd21dc, 0xea76caf6, 0xd2e8c422, 0x8a75feff, 0x628e44df,
+    0x5976ed52, 0x48d0bf21, 0xd7a2ac4c, 0x5b764815, 0x5377db86, 0xebd2d741, 0xda74e63b, 0xbe050620,
+    0x55bc81b1, 0x4190597c, 0x107742a5, 0x535eca40, 0x193c0046, 0x605df2fe, 0xe95692a0, 0xcb9b6384,
+    0x45ab10c2, 0xdade137b, 0xfdd89c79, 0x74f77c94, 0x5e699111, 0x1b0f755f, 0x506ca217, 0x32985469,
+    0xce906a88, 0xe93c58ab, 0x7611cfe2, 0xa0d69968, 0xee3955ff, 0x1ef76f51, 0x997e8032, 0x2c5685a5,
+    0x4bee9b9b, 0x68a04c71, 0xf6008b62, 0xb521aa82, 0x340c9562, 0x6cce8b49, 0xfa1e355d, 0x6e4f0c8b,
+    0x9f9a64f2, 0x760d233f, 0xd76efc23, 0x79f39f86, 0x243574bc, 0xf68a6ac6, 0x76a38ddf, 0x5bcf9fe0,
+    0xdfc1f9b4, 0x6070067d, 0xf509cf7b, 0xe3de66c0, 0xf63bf8c6, 0x0fc41e0e, 0x4841780d, 0x89220aea,
+    0x49115036, 0x0876ff37, 0x0e395bf1, 0x3360892f, 0xd3d581f3, 0x3be75973, 0xfca51708, 0x3f1ce1bd,
+    0x6875d11c, 0x16ae3385, 0xe6eea8af, 0x7882acca, 0x0356fd3b, 0x91b5dd19, 0x4d57c15c, 0x036a4c5a,
+    0xfbc858a1, 0xc0d11c81, 0x7b2b6663, 0xd5bbd9ee, 0xacaed853, 0x426df5d7, 0x2984b678, 0x68442e8e,
+    0x5e6e6df8, 0x32fd7926, 0xb39efeda, 0xe1455b2d, 0x469f1d1a, 0x1693adc2, 0xbf2cb8a5, 0xe55eb272,
+    0xe819813e, 0x947ed335, 0xad6a65b9, 0x58c39fae, 0x0a0fedbf, 0xe0d7d111, 0x366dcbef, 0x231b037f,
+    0x831b40bb, 0x00c491e0, 0xeea5f486, 0x623aebc8, 0xb7950843, 0x46294c50, 0x51219786, 0x24421554,
+    0xf5170ff6, 0x90c1a1da, 0xa13ea8a7, 0x1019d8d7, 0xd166bca6, 0xdfddc9d9, 0x97395141, 0x63318da4,
+    0x28f6b0ba, 0x9a5f041e, 0x7a547a4b, 0x4a428c40, 0x742194c6, 0x0ff875e9, 0x73d53dd5, 0xda432ade,
+    0x603f7f79, 0x8bf9519d, 0x4b0aeb13, 0x4b438f9f, 0x74cfbb8f, 0xe6f723ca, 0x24ddfc9f, 0x130d447b,
+    0xc816352d, 0xbc4ba1c9, 0x480adeb3, 0xafbf7e95, 0x555d12a7, 0x3ae4cd5a, 0x5bad08f3, 0x4cc55048,
+    0x2e3ab936, 0x4f9f719a, 0xc2753840, 0x2240b0fa, 0x7276703a, 0x2faef9bf, 0x24eca081, 0x558ed197,
+    0xb485bc8d, 0x6db0f122, 0x7455f900, 0xb757b8a0, 0xd2b7cd1f, 0x4134153b, 0xe5fa0f68, 0xb0ee90e2,
+    0x1f0f5d28, 0xd8f409a8, 0xa489a45f, 0xcbd7f027, 0x4d1e5760, 0x46ece188, 0xa8cec55b, 0xab490b0b,
+    0x8208c397, 0xd97e411a, 0xc78028fe, 0xb7ca51bf, 0x0ff08d1c, 0xd0bd8ccb, 0x05764f1a, 0x8d12a24b,
+    0xa52ae48d, 0x5bae9e57, 0x3d1770da, 0xffe426fa, 0x9b61804a, 0x8abfe0a4, 0x7f512e47, 0xd01baef2,
+    0x860a9d9b, 0x686fc90f, 0x30d19814, 0xf915c97b, 0x6288d182, 0x536804bc, 0x42756625, 0x1052d751,
+    0xaa9b5088, 0x2cbaf5e0, 0x15917168, 0x7fa6a60b, 0xd034f515, 0xcf1c3db4, 0x006f56f9, 0xb68a5fcf,
+    0x2d44b9c9, 0x3820b897, 0x2138d0c2, 0x2ed6a203, 0xc9789e8f, 0xa7c5f64e, 0x4f4008cb, 0xe1225543,
+    0xb20db5fa, 0x68e06416, 0x8dd78966, 0x96caf9a3, 0xbe5010c6, 0x9c422864, 0x9269e489, 0xdc5cb2c9,
+    0xda7ddde3, 0xd77e3cfb, 0xc9ba0c27, 0x1b01cbf0, 0x280d061c, 0xf4c11921, 0x65c2a0ac, 0x9f1b1025,
+    0x27b63484, 0xb0cdf324, 0xf06ce790, 0x45bd12a1, 0x19178466, 0x480a6295, 0x790de103, 0xd4a47557,
+    0x6b97a831, 0x04cdc66d, 0x5f8e646f, 0xa8c397e3, 0xb288a0f1, 0x6a1a3eca, 0xec45e3af, 0x76eefc06,
+    0xd12f5464, 0xb240dec0, 0xc4bf0f5e, 0x2780940e, 0x49bef201, 0x092a06f9, 0x25d814a6, 0x7377d276,
+    0x241ef3da, 0x8314a684, 0x65a7db48, 0x1ca3e099, 0x3e98d6ed, 0x67637895, 0x4ddfac5b, 0xa0a75a70,
+    0xfbff3c1f, 0x1578302a, 0x8b31504e, 0x0782f439, 0xffdb8672, 0xb415c410, 0xc4782cb3, 0x7d02bed1,
+    0x0e4673e8, 0x6f3f43e2, 0xea7ac79f, 0x0b862bc7, 0xf1b18028, 0x772ee4c6, 0x9b728db6, 0xb3de3849,
+    0x236b4a60, 0xef67173f, 0xa6005851, 0xacc792c1, 0xce5c3c41, 0x6eb80fc6, 0x1c4e0914, 0xad58e870,
+    0xc99d26ce, 0xcc080242, 0x0401d708, 0x258af717, 0x2399a3ae, 0x03dd2820, 0x56e17c53, 0x00a88ce1,
+    0x41331d47, 0x71cae1b2, 0x932a34c7, 0xe5a53b65, 0x3d232d72, 0x8b022792, 0x17545465, 0x967b61a4,
+    0xe89440f9, 0xc9b9ad14, 0x90b4de1c, 0x479d1df9, 0x133466b8, 0x370483ef, 0x04d5aae7, 0x52528322,
+    0x0895e2e5, 0x0d66450c, 0x84993254, 0x98dcdcdd, 0x8d0254f8, 0xc6d65f80, 0x84b84a69, 0xd7da3cca,
+    0xa04993c4, 0x7f30ab1a, 0xf7d5fd59, 0x26a7852e, 0xb2fcaddd, 0x0dff73ae, 0x735dc433, 0x49bce948,
+    0x7faf7ce7, 0x264421cb, 0x2cc48e86, 0x82a051d9, 0x575e775e, 0x85fa69a2, 0x3b5e435e, 0x55a4b53e,
+    0x6c0dfe2e, 0x2c8b855f, 0xc4a25c94, 0x81de25a6, 0x06491ca1, 0xb0ab0718, 0xc9c6ec2c, 0x6312805e,
+    0x5ccb5ece, 0x1ce1453a, 0xc772d532, 0x094319cd, 0x843b2fc7, 0xf4e723fe, 0xc24001c1, 0x8619f14f,
+    0x0817b65b, 0x386be529, 0x33cabbbb, 0xd0a0864c, 0x2f0ef3c5, 0x5bfe0754, 0x5e0a938d, 0x52abd0ba,
+    0xc8302a49, 0x387028ed, 0xb67935d2, 0xb2462905, 0xde49b073, 0x6b1e4813, 0x5d86bf7c, 0x303de960,
+    0xb917f6b0, 0x906120a5, 0xc6c28bdb, 0xd773b326, 0x70cddcca, 0x8e1b1c0e, 0xb02ef833, 0x9d00c854,
+    0xa61d3e3c, 0xd7d86355, 0x1048f16d, 0x537b6898, 0x5b1de5db, 0x84c346ea, 0x4cc73556, 0x14cea7b6,
+    0x36377e07, 0xdc20ddf0, 0x44d5800e, 0xa0024936, 0x9aecc6b5, 0xf2f3156a, 0xdecae666, 0x070448be,
+    0x09ba0cfb, 0x7c9e7b28, 0xa7a5c18f, 0x2a756c23, 0x2db52b0f, 0x553c1c25, 0x49f800f3, 0x28cebbe9,
+    0xd3a8886d, 0x08939d84, 0x679b8937, 0x4946227a, 0x0722fdea, 0x2929cecd, 0x03abeb9d, 0xb62c5c8e,
+    0x3ed661df, 0x2a8e11e0, 0xafdde9a4, 0x9a49dc89, 0x8b4f43f0, 0x48ff53e1, 0x263ef90d, 0xac2c578c,
+    0x00000000,
+    0x495fb7f9, 0x68dc57f2, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000158456325028528675187087900672 */
+  { 0x00000000,
+    0x8bf6426b, 0x464274d5, 0xd6a25bf7, 0xdec5b1ba, 0x74ffb242, 0x1bd85c04, 0xa96807ca, 0xccd65040,
+    0xf6b51796, 0x97e5dda8, 0xe78a380b, 0x6308c6a4, 0x7e8a72a9, 0x47f92a2b, 0xc84a5e0f, 0x8945b453,
+    0x7a4df981, 0x754eda7a, 0xe6616211, 0x84fff976, 0x64528de2, 0xd9647126, 0x3a5efc0e, 0xb83dfb86,
+    0xaf1662ae, 0xc0066f21, 0xf8ef1227, 0x655427f2, 0xdc8b7e0c, 0xa62db9f9, 0xd4623ff0, 0x9919e203,
+    0x84483690, 0xc4ef2981, 0xb828d9eb, 0xc4832617, 0x8780fd99, 0x5c3b5114, 0xc8f3cd42, 0x17c997fc,
+    0xa145e781, 0x97c657a8, 0x1493ea8c, 0xfe7f3593, 0xf5bbf8ca, 0x8c18dbae, 0x5875568f, 0xe532136c,
+    0x55852a21, 0x21a6ce3b, 0xd5f72260, 0x875a398d, 0x9c9a712e, 0x3886eec4, 0xc945b665, 0x81c66549,
+    0x509de648, 0x78df38f4, 0xd6b05098, 0x431fa73c, 0x8a07973d, 0xe35640e9, 0xd17b5ecb, 0x90ff5815,
+    0x3a7975fb, 0x61a391c4, 0xfc9c8393, 0x76be65d3, 0xfe6bb76f, 0x565a25fa, 0xf4b02877, 0x1c657029,
+    0x5c922bd4, 0x4de46f21, 0xae607682, 0x2af328aa, 0x445c5bf4, 0xa9b0b160, 0xa5554b53, 0xc328a878,
+    0xf3ae2db2, 0x1f5b705d, 0xdcac4d10, 0x081cde53, 0xfae22edf, 0x08fa7276, 0x07518c74, 0xed2b3dbc,
+    0x97623b34, 0xf3bc6e54, 0x56672818, 0x52e24e08, 0x8ce39a39, 0x08180dbc, 0x6d3d01bc, 0x6ba36759,
+    0x212f23dc, 0x2258071a, 0xbc0cfab1, 0x38947dc8, 0x15a21c9e, 0x072a2c5b, 0x45f33051, 0x482328f4,
+    0xf906cc6f, 0x75bac115, 0xa11aab29, 0x6abd9d47, 0x57c02dcd, 0x37ff92d0, 0x3a49d5d7, 0x705bd3b0,
+    0xca70d7c7, 0x52d382de, 0x2a2efad1, 0xbf716474, 0x32f6a345, 0xc56c24e5, 0x04545f77, 0x8f5573f9,
+    0xddad9053, 0xd7437447, 0xd8dcc75f, 0x4458d351, 0xd0d44e21, 0x5bb15fd8, 0xf58911d4, 0x0da43c08,
+    0x1a929bee, 0xac9235c1, 0xf11f8271, 0xaf690be8, 0x48dc4947, 0xe2ee4f1b, 0xa4dbe8eb, 0x362c64af,
+    0x47a490b1, 0x084fc92d, 0x0d48fea9, 0x38028d5e, 0x105bab80, 0x38eb446e, 0x7a9f5022, 0x63f8f722,
+    0xa282d82b, 0x423f6284, 0xbac876c5, 0xc44299c1, 0x3d32d1f6, 0x82d40871, 0x3ed06d40, 0x97969806,
+    0x9b87837b, 0xa786cede, 0x3e2fa9d2, 0x302fa428, 0x23864c18, 0x5478244a, 0xb8594109, 0xd8a5916d,
+    0x65dae121, 0x019b6477, 0xc67aa68e, 0x2d2fa885, 0x36c57eaa, 0x7cef88c2, 0xba28a44b, 0x6b601542,
+    0xf98f84ad, 0x1dcd32c4, 0x2874fc60, 0xa8a0cb32, 0x1022d64a, 0x23728aa1, 0xd8ee3fcb, 0xea46903f,
+    0xdc4eb92b, 0xd708b8b5, 0x72fcba38, 0x4296561a, 0xf40ee9fe, 0x2934e9d7, 0x6c21aa4f, 0x9c554d8d,
+    0x04e2020a, 0x0765a871, 0x206d92e5, 0x28298bc7, 0x542fc919, 0x6d26a169, 0x5fc78046, 0x108fc047,
+    0xda794111, 0xd65bf93e, 0x6a26e282, 0x5ef3cb76, 0xf1457b5b, 0x93c97aa5, 0x4c34d423, 0x8464a7a1,
+    0xd01c5464, 0xdf0ec638, 0xe86d9a1a, 0x2ac0d11e, 0x375610ec, 0x45710031, 0x91640b8a, 0xa65ee1af,
+    0x369824e3, 0x7ffc1811, 0xd5e51a21, 0x83665756, 0x93b77d13, 0xb37d984c, 0xd4823bc7, 0x5937ead0,
+    0x54c4d2d1, 0xf1b3fb63, 0x43c658ed, 0x26378357, 0xbee98309, 0x976fafda, 0x8f657c1f, 0x3fdd00f6,
+    0x36b4a35a, 0x52352c32, 0xb16ff032, 0x9f7a52dd, 0x52ac2f13, 0xdc4ac04d, 0xe9142a3f, 0x964b3e65,
+    0x668362ce, 0x3d19c8d2, 0x4e308a00, 0x99ede570, 0x2c341fa3, 0xe3a88fdc, 0xeb1b698a, 0x11eafe47,
+    0x9e76fb74, 0x5e853bf1, 0x063fee88, 0x5209527d, 0x05bf1ced, 0x4811e2e7, 0xc57d8dac, 0x6ab1a6a1,
+    0xfec605a7, 0x547d56e3, 0x67885260, 0x86d4dd3e, 0x5dafa85c, 0xfa563b3a, 0xe1d03c0b, 0xbb7694ce,
+    0x1679f3c8, 0x554f53da, 0x500f34d3, 0x32ffce91, 0x4a7520d0, 0xceb7bfb3, 0x097ff50b, 0xd71837a6,
+    0xb104e869, 0x2b20a6ab, 0x4658f7ed, 0xed552ed9, 0xfd5d1d1e, 0xa4fb5fae, 0xeeb1b943, 0x5e1fba7a,
+    0x08165b09, 0xf2808405, 0x642fc77a, 0x44122d16, 0xc8a8eeb6, 0x7bdef0da, 0x78d99df9, 0x822514ac,
+    0x0d2b8f4e, 0x8207a374, 0x909e0da0, 0x8b7f73fb, 0xded24a98, 0xa7191e2d, 0xf02bd339, 0x9f909a6a,
+    0x3ad9e3bd, 0x9fc298a2, 0x6310c780, 0xacfe7c94, 0x4d2d5e35, 0x3dce4fe2, 0x1fa8ca42, 0x363d79ad,
+    0x99d21d42, 0x99cfc2c3, 0xee3c7376, 0xff4f1f31, 0x7795673b, 0x4a78cd7b, 0x1bea7294, 0xf2067750,
+    0x206f3b18, 0x33db46c1, 0xdc0fbf45, 0xd83a2137, 0xd94dc653, 0xf1ec52e4, 0x2c00c0a5, 0xa13228e2,
+    0x2fa8f54e, 0xa3bae8a4, 0x56e020e2, 0xb23f22ff, 0x4d0ca20d, 0x56bf0695, 0xedf6aecc, 0x999ef0b4,
+    0xe65d5f27, 0xcd6426ef, 0x199febbf, 0xabc9d219, 0xda34e860, 0x3da1c761, 0xa77762c7, 0x1c92bce5,
+    0xbcb673c4, 0x2ee1762f, 0xbf94ebff, 0x87f7fb54, 0x535fc17a, 0xb6657032, 0x3033812f, 0xb6e4faba,
+    0xb075a4ab, 0xbe094454, 0x3d0141a3, 0x976b5e81, 0x6916da00, 0xa698d6ba, 0xa7405088, 0xdc2d0563,
+    0xa864afb5, 0xd53da5f7, 0x6539e356, 0x7063b72a, 0x6f3f68a5, 0x017d4288, 0x9f158a7c, 0x66e7d115,
+    0xfdf0eb59, 0x13f6df0a, 0x7949d3ca, 0x69ad437b, 0x5db7b26c, 0x9fb165f0, 0xf1edadea, 0x4b0c8529,
+    0x7aac75ef, 0xc922bc3b, 0xf662aec1, 0xca73e1db, 0xd810a436, 0xbab0232a, 0xd0465035, 0x093c0d6c,
+    0x1295b803, 0xdd69ee8a, 0x527296e0, 0x092cf100, 0xe2010e4e, 0x18deef47, 0xef83fd94, 0xc3153531,
+    0xd5faecbf, 0xc14cc2d5, 0xa4d4cac4, 0x7e16a5a7, 0xb9cae56d, 0x93c495e3, 0x7f725686, 0xce2eac5d,
+    0x6b24768b, 0xb262de69, 0xa4505cb7, 0xeedc4819, 0xd698daa4, 0xf2b3e400, 0x1ca7bd2a, 0xdfeb566a,
+    0x81eb41c5, 0x2eaf8c01, 0x49a50cca, 0xa46e4994, 0x6bf318d3, 0xdc73bbc2, 0xa607eb4c, 0x88ce4148,
+    0xbbb85548, 0x5fbbca7e, 0x35ba9852, 0x723d7be4, 0x29c56aec, 0xadb0f7ca, 0xab10a939, 0xce6d05c2,
+    0x71474056, 0xe52eb507, 0xb8c83c45, 0x76c56c1f, 0xb5da5c99, 0xaf451540, 0x91e53e7f, 0x9174e51d,
+    0x0ad87bee, 0x15e1e093, 0xc64fcdf3, 0x6d5b6567, 0x35ece798, 0x8513f235, 0x33b210bf, 0x47d2dd59,
+    0xa366e2c1, 0x32eae088, 0xa8665712, 0x31e6430d, 0xaa1161b9, 0xdedad88a, 0x7f7ddcf1, 0xe0c77d9b,
+    0xca7dce7a, 0x352596ea, 0x0bc9f4d4, 0x0cacd76c, 0x53048674, 0x8463718b, 0x8c3c5873, 0x1ccae07a,
+    0x0e032385, 0x325d0689, 0xc4b06d95, 0xc895da6f, 0xed95221f, 0xd2fe4229, 0xca742bbf, 0x43248bca,
+    0xeec4be38, 0x4e84ee1a, 0xdb163bf1, 0x623da92b, 0xd01b67b8, 0x5a4d68eb, 0xaaf4a87b, 0xf30b8a74,
+    0x86b8ec59, 0x8c355761, 0x7a528b9b, 0xb36f8796, 0x73ec1965, 0x4d13cd05, 0xbac97f33, 0xa6b45c7c,
+    0x703b323c, 0xa5baf0d5, 0x48f14082, 0xc671819b, 0x259bf821, 0x815f1206, 0x6847920f, 0x9db852ec,
+    0x82a24966, 0x739c1bf9, 0xef962b8c, 0x75f48dc2, 0xce993913, 0x20714bb3, 0x7a6ae620, 0x5ab0eceb,
+    0xa02973ab, 0xd59bfcc0, 0x86c35a9c, 0xac0ada84, 0x3e2fc8a2, 0x0b6cfb9b, 0xe7db117f, 0x108d4557,
+    0x51a7a9b6, 0x389f7a59, 0xc126f42c, 0x47b59c51, 0x3c57688b, 0xa4f0424a, 0xe1e6114d, 0xe4c9076c,
+    0xbabb0ace, 0xc0259b54, 0x3e5f3e50, 0xf0bf8ba3, 0xb6dd9b1e, 0x5ca30f77, 0x66781fef, 0xdd0f8fba,
+    0xbe379316, 0x239a56ac, 0x0d29a280, 0x14f40519, 0xf04e9100, 0x6aac03b6, 0x14993dbe, 0x410b232d,
+    0xbfd2f33d, 0xcbc70ade, 0xa4b4104d, 0x93894da6, 0x5613f2ca, 0x87dd26c1, 0xa936c23c, 0x68563871,
+    0xc11858f2, 0xa0ee92b6, 0x7c1f696f, 0x6cded02a, 0x2eb124a3, 0xb09840fb, 0x07a465ea, 0x39ff958d,
+    0x4d450e65, 0x9404b02a, 0x79b2bc41, 0xed4b38d0, 0xdd19ef2f, 0x22d85d56, 0x7b22fd6b, 0x78e94dca,
+    0x4e3f52b9, 0x347077e6, 0x404f3a0a, 0x9ad1346f, 0x0e5b5baa, 0x1630a4f2, 0xa5b747b1, 0xa73195cb,
+    0xe478f0f2, 0x581a2644, 0x4c593a2a, 0xc184e7f8, 0x9ec81c4b, 0x5ddecb65, 0x2a03376b, 0x9e049f1c,
+    0x619c3a57, 0x3a32fa4f, 0x6e1a3cd8, 0x76a35158, 0xf1f2bfb9, 0xe2696683, 0xe1fdc075, 0xd5a315f9,
+    0xe8237dde, 0x4c3614cd, 0x41333c05, 0x7dae3fdb, 0x3901a23f, 0xab805991, 0x1f05d040, 0x283568fc,
+    0x7e1cf71e, 0xdf8be21e, 0x958ba40f, 0x25a7ffd2, 0xde3b60b0, 0x299d4955, 0xf0f4898c, 0xc8c6b91d,
+    0x424002b7, 0x198217f5, 0x07da3eee, 0x704f4b8a, 0x84eed2ac, 0x03cfd307, 0x0bf6b803, 0x23434e61,
+    0xd4247db1, 0xbb088ea6, 0x8f6f9157, 0x3e9e2df0, 0x8ec331af, 0x5d4f00ac, 0x3a456dd4, 0xe1bc56db,
+    0x8262bddc, 0x8fd5847c, 0x80f21873, 0x928a8ab6, 0x8f87d65e, 0xe73a230d, 0x140f4898, 0x0f57a63b,
+    0xd8ec19a2, 0xae8bd71a, 0x4f1a1752, 0xc928030a, 0x6ab95c6f, 0x35eb1864, 0xd94b9ccb, 0x969b004a,
+    0x65aa325f, 0xef641aa0, 0x3a665f27, 0xd214d14a, 0xb92ce008, 0x6486ee66, 0x80257385, 0xc33a0801,
+    0xa9bb27f3, 0xc5d59509, 0xf47aa719, 0xc425bd49, 0x63e26682, 0x991be156, 0x6c928d26, 0x365d0021,
+    0x57eaaaf6, 0xfaf11e4c, 0x6cfdf28e, 0x22f324eb, 0x7f5ca1c1, 0xb39026e8, 0x42554132, 0xf61bceeb,
+    0xeb558f0d, 0xa68a9f30, 0x0e8f19ee, 0x624320df, 0xe2c9a822, 0x3e2ba6f0, 0x98bf551e, 0x529847a9,
+    0x127ca675, 0x6f5a6798, 0x3339f23e, 0x8ef32079, 0x8d47689d, 0x72d2f31b, 0xe85fd589, 0xe6575977,
+    0xda3c6390, 0x9658acdc, 0x909facbf, 0x400e2d37, 0x915bd200, 0x78403188, 0x0e066d52, 0xeeedeb38,
+    0x57fbc1d4, 0xfb98081f, 0xef9c36cc, 0x95d91921, 0x8f986030, 0xca94f2b3, 0xfa9ab3a6, 0x752d2402,
+    0x18c939e1, 0x42c2348d, 0xd0690971, 0xc6a0f1c6, 0xc1a31491, 0xfb12f39f, 0x15a6fe11, 0x9532f082,
+    0x01938369, 0xdf909bcd, 0xe4b87235, 0x34a464d0, 0x4d25bfbf, 0x27b926c9, 0x667a3374, 0xa47a8b96,
+    0x2e48c352, 0xe47c0a3e, 0x48eea77c, 0x8cddf596, 0xfc5341a6, 0x4c4ea7fa, 0xff99af63, 0xf6559946,
+    0xe971f6e0, 0x6ad9784c, 0xbafd1df6, 0x0ef7a788, 0x537f544e, 0x320ce5b4, 0x8c81bc3e, 0x3daeb6b5,
+    0xbb285acd, 0xc3be09c8, 0xd418ec9f, 0x091aa202, 0x8c5a8a9e, 0xd2dd23d6, 0xda2735c9, 0x033f85dc,
+    0x8da740f0, 0x6fab7498, 0xef2dfa4b, 0xa8a9798d, 0xf1625502, 0x13f77d1d, 0x093340d1, 0xed70a129,
+    0xd0a56dc4, 0x6be36f8d, 0x55f93892, 0x5ca30f41, 0x3b86ff84, 0x8ff8dbd0, 0x0726005f, 0xcb4eb879,
+    0x176bead6, 0x74d36a24, 0x5af92c04, 0x7e330011, 0x76b52217, 0x201cc35b, 0xdc8379c2, 0xad1c000f,
+    0x77719b1b, 0xcb0434ff, 0x8482da67, 0x479dde13, 0x030d8dab, 0x3212b151, 0x41a86cd6, 0x94be84ba,
+    0xbd773c3f, 0xca87b965, 0x8a95447d, 0x0016c487, 0xfbaad6a9, 0x898a2d99, 0x018bc2d7, 0x564ab2ed,
+    0xc53038f8, 0xf78aadd7, 0xc8eaa81a, 0xcfa54dde, 0x9be65ca8, 0x2a4392e8, 0xb311034c, 0x7044916f,
+    0x967f546e, 0xcea9d004, 0x06ae2175, 0xf041a030, 0x30614afe, 0xa1b906e0, 0xf6e186c9, 0xed766df1,
+    0x41da3e00, 0xc38df7ed, 0x90c182d8, 0xf03f7027, 0x75d6b81c, 0x50e9ee32, 0x38ae4d1d, 0x3607b98e,
+    0x7c5ddd26, 0x7f1e6301, 0xce2f8fff, 0xa5e23e7b, 0x12c1681f, 0xdb8ad2c7, 0x8c55fd67, 0x905860d1,
+    0xd8f8363e, 0xe4f30c5a, 0x4cb85d7f, 0x29012b27, 0x13584e7d, 0x08215bbf, 0xc7fbda71, 0x6e95ae72,
+    0x28bb6105, 0x21bb052a, 0xcb107c8d, 0x83a86d57, 0xd7fdd12c, 0x8728279a, 0x2a34a238, 0x9ec99a6d,
+    0x6daa97e5, 0x07f7fce7, 0xd2423454, 0x239c719b, 0x325bd083, 0xd8016a64, 0x86410d4d, 0xf567cc6e,
+    0x78572e7c, 0xa1ffb009, 0x4cdd1a68, 0xcd69974b, 0x8932a899, 0x119c1971, 0x91d27cd1, 0x68d26f80,
+    0x8687d1f3, 0x034e7df5, 0xc74d56b3, 0x57a71d2d, 0x0db64439, 0x1fcce47e, 0x193e264b, 0x77055479,
+    0x66e3173e, 0x2da48020, 0xc011a24e, 0x82dac3fe, 0xc3dbec16, 0x7490a49d, 0x27500534, 0x07234168,
+    0x7e37d621, 0x8ad3afd0, 0xb8cd183f, 0xee0921c0, 0x8ac404d3, 0x9a8f3084, 0x67eb4d63, 0xb9bece6b,
+    0x1ce980f1, 0x53d0ebc7, 0x3d9b0fa7, 0xc8bf7c16, 0x437e989c, 0xdd593039, 0xca47e5ad, 0xbc2dc70f,
+    0xf71f23b6, 0x63f49c5b, 0xdddd8b6a, 0x9e1e31fa, 0xde223d2d, 0xe0041ab6, 0x98d8bf66, 0x65f10b5a,
+    0xe7ee7087, 0xf12202dc, 0x8d4b3f6a, 0xb7282ae3, 0x225b9111, 0x866c0f3a, 0x9383c155, 0x662b1ac4,
+    0xa25d0780, 0x8150ce40, 0xb288c13d, 0xbe80821b, 0x2a7c9d1e, 0x4d5f91a9, 0x808298fb, 0x494be6d6,
+    0x03b20bf6, 0xd59e9181, 0xf77dafea, 0xd40e8613, 0x3577174f, 0x801db36c, 0x7f3f70dc, 0x5b258ca0,
+    0x68abb564, 0x50f82385, 0x62190e51, 0xf47b2771, 0x8eefe9f1, 0x609aeda0, 0xfd956585, 0x7b559825,
+    0x6bfd006d, 0x5556e292, 0x603f828c, 0xcbbd941e, 0xb932c8fc, 0x0ab8ecc4, 0xa295692f, 0x6ef4d0c3,
+    0xe3cd3440, 0xb6b6ff6b, 0x774a9356, 0xad9401bd, 0x4fc13908, 0xd978d7f0, 0x82bd35c3, 0x3eca35fa,
+    0xd3f3f259, 0xef34187b, 0xa33d8abb, 0xd4b4d676, 0xa8ee6011, 0xef5f756d, 0x0e02bab7, 0xef9f66d1,
+    0x611fb314, 0x3282f888, 0xdeaa5982, 0x481de56d, 0xc089b35d, 0x94681503, 0x991b275f, 0xc9c663a8,
+    0x7a6c9c44, 0xd01958dd, 0xfef0bdb9, 0xf8afdd54, 0x62b5ef52, 0x1c5d60a1, 0xe065180f, 0x90f9d97b,
+    0x215b6763, 0xe51b8b93, 0xb335677e, 0xc4fb2ec5, 0x67b20a38, 0x960c6797, 0xc2d953c2, 0xf0a91d5e,
+    0x175ab59a, 0xe2fe4eae, 0x62e93f4c, 0x6212266a, 0x602b2269, 0x9ba52c91, 0x55649242, 0x27b28249,
+    0xe1853b69, 0xfd2f94f7, 0x02ac182a, 0x354239e2, 0x329f0c46, 0xc3c60d75, 0x1ef1754e, 0x1d49cd03,
+    0x17630696, 0x2ed0d3de, 0xcc343854, 0xbd11c5d1, 0xc5af4890, 0xfef9a80a, 0x640d2c85, 0x2161e431,
+    0xa02ba27c, 0x06900af7, 0xc312c401, 0x527bd390, 0x927887e0, 0x609448e9, 0x0e9f2974, 0xf6170768,
+    0x607f683b, 0x8a4fc547, 0xc79035e2, 0xdbf95994, 0xa9b5368c, 0xa64f82f8, 0xfeaa6110, 0x549e6b71,
+    0x06e36e14, 0x96395552, 0x8446bb95, 0x8664b1ac, 0xc9866d77, 0xba248bc0, 0x1d5673e3, 0x23b5c155,
+    0xd7e6a5ff, 0x1edd4ea6, 0x0b26f0a5, 0x2dde0c98, 0x1146cde8, 0xf89cf9cd, 0xa780307c, 0x7461b8d5,
+    0xc534baa2, 0xec917b72, 0x5b46862c, 0xffab6de4, 0x6285d24c, 0xa8dae1f0, 0x34f820fe, 0xe8dc27db,
+    0x28d01c08, 0x0cc060df, 0xc1355ceb, 0x4c13db28, 0x42d96175, 0x279358f6, 0xbb9e83d9, 0x996c6500,
+    0x31ed97e1, 0xcdcf659a, 0x5b9118b1, 0x4ab14d6e, 0x2aac7873, 0xf8463bb9, 0xb1c30b48, 0x9473dcd4,
+    0x00000000,
+    0x24afdbfc, 0x346e2bf9, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000079228162514264337593543950336 */
+  { 0x00000000,
+    0xe3bc69ac, 0xc489f3dc, 0x02da0146, 0x828e2c5d, 0x2813b605, 0x55b6c31c, 0x648dbe93, 0xb1cb4da7,
+    0x6d944976, 0xe159dc11, 0x7c4d3eed, 0x52e6d94b, 0xabd6af5e, 0xcc692a23, 0x259f1727, 0x4d538fd6,
+    0x9ab7329f, 0x951b6b18, 0xcb2dd951, 0x5fe58371, 0x9b0ddcae, 0x3dbcb3e0, 0xe2347dd3, 0xeb41be0f,
+    0x49cf0f3f, 0x2205136c, 0x5d83678d, 0x2c959bc8, 0x4cf19ac0, 0x0db22b58, 0x2b556db3, 0x86bd1c1e,
+    0xb3767cbd, 0xb70f52d3, 0x8c4aa85c, 0xa2c87472, 0xaa3a664a, 0xfed2831e, 0x145a5901, 0x0202a151,
+    0xb17f52ac, 0x42435502, 0x8d9006a4, 0xc6214e56, 0xbce8150c, 0xfc0de227, 0xaabdca37, 0x664da4f4,
+    0xd5dc00cc, 0x096e9089, 0x8953427d, 0x2ef86b2b, 0x8b846582, 0x4812bb55, 0x5225162c, 0xd8c7dc1b,
+    0x7bb26a78, 0xbd1fb250, 0x6aefc6fd, 0x63b42010, 0xacbc144f, 0x09a1dd94, 0x739d3862, 0x29c2e934,
+    0x764c6de5, 0xb8663858, 0xf97fe1eb, 0xc592dcc9, 0x4b94f7e7, 0xb66f5e59, 0xc9274104, 0xb9210c96,
+    0x0ae69aa2, 0xc19ec8c4, 0x229ce637, 0x49a2ee3d, 0x98d5bc61, 0x7e6b4caf, 0x5cbdfdda, 0x3ccc66be,
+    0x467c44ba, 0xdc19d212, 0xb683abe7, 0xb5f959dd, 0x9d15964e, 0xd7a9b3ec, 0x78adf96e, 0xd1f35fdb,
+    0xb67e525e, 0xad0687cc, 0xf1e4d1c1, 0x86293f56, 0x6b9af85f, 0x511c4d9b, 0xdeb7d6c6, 0x31fc29e6,
+    0xc209ccdf, 0xc3341d4a, 0x9990ecf3, 0x8368fb64, 0xd6707a45, 0x0d983877, 0x63364442, 0x83953499,
+    0x3b90d40e, 0xe34062b4, 0x70a9d00b, 0xdd303730, 0xd343b1dc, 0xa45734c6, 0xde4b717d, 0xa9e68343,
+    0x5f8d1c35, 0x9ec0931c, 0xd86c90f4, 0xb9da2bc4, 0xba22dff3, 0x5133472c, 0x58a976af, 0xf2090640,
+    0x52070f47, 0x774812ac, 0x56ce9343, 0x02fe272f, 0x17dcf57e, 0x6f345046, 0x45f78c2f, 0x583f3008,
+    0x4aa1012b, 0x1de3e4ba, 0x285ee4f9, 0x633af45e, 0xe3fa391e, 0xd1fa194e, 0xde4f1b71, 0x719d54da,
+    0x98101458, 0xba736293, 0x14e0acf7, 0x361715eb, 0xfe1892af, 0x786a519a, 0x2762c6c9, 0x5d4d2c02,
+    0xa819fcae, 0x53c893ae, 0x3e1bfc0d, 0xbfb70fb2, 0xa5e24a40, 0xe5396ea1, 0x0c0acd28, 0xd1c72d72,
+    0xad7c6bd2, 0x6c8fb70d, 0xc0b984a0, 0xf07a5022, 0xc8ec56c7, 0xede824df, 0x2b287676, 0xee09e701,
+    0xd0b5727c, 0x35d74116, 0x5ced26d0, 0xaf7be887, 0x65b18fb1, 0x0eaea663, 0x51db00e0, 0xb14c08b9,
+    0x2ec46681, 0xe046b605, 0xae799f81, 0x23e76dae, 0x2f0a25fe, 0x838aa3f2, 0x3710a2d9, 0x962589ae,
+    0x72416569, 0xf113edd2, 0x7898fab6, 0x4d00ecc0, 0x29596821, 0xf2b240ea, 0xf9436c40, 0xd7b6f7fa,
+    0x9359b62e, 0x92c40dae, 0x4c0d4aba, 0x2677956f, 0xac2379bf, 0x24ed66ca, 0xba58b45d, 0x8799ea70,
+    0xca273dfa, 0x56d88b56, 0xb3c64c12, 0x030b29dd, 0xc5c058a4, 0x516cc669, 0x90136008, 0xb781d6c4,
+    0x5a7eef73, 0x26da556a, 0x7b5f28a8, 0xd9ba58d4, 0xaa8cf90b, 0xff3b5938, 0x87be5b4e, 0x1f7b1bfb,
+    0x3774e298, 0x587966ca, 0x2de4ece7, 0x2bdabae8, 0xbf5fb067, 0x70ee8910, 0x93e37976, 0x4b4f115f,
+    0x0f69954e, 0x19b8d247, 0x931deb52, 0xef92cf83, 0xae8c426a, 0xc0326c62, 0x995eeccd, 0x07e18dd9,
+    0x13f9b184, 0x7bc7bad7, 0x7c2e986a, 0xce1072fc, 0xce2a06cc, 0x71b3ec31, 0x9ffb9aa0, 0x79858000,
+    0x2c42d988, 0x8bf57cd3, 0x98f2a55c, 0x1966d2ea, 0x7e6f9ca9, 0x441c64ca, 0xcd19acf7, 0x8512f3e4,
+    0x5d4e2dbb, 0x9f1826d2, 0xfc1fde75, 0xc405faea, 0xcc6d2b42, 0x72beab31, 0x83d840d7, 0x46543e05,
+    0x342d37c3, 0x8c924a78, 0x5dac17a3, 0x160911db, 0x8c9c6892, 0xbfd410eb, 0xc806bee8, 0x6d427710,
+    0x0ac23bde, 0x91075463, 0xc7ab2411, 0xe1dbb954, 0x240c9464, 0x3cdf2968, 0x902dc7ab, 0xe22f2bc0,
+    0xbe1a7b09, 0x77a1850c, 0x7eabfc58, 0x6bc3481b, 0xe29a91b7, 0x386a0dad, 0x2a4e7b06, 0x32795b21,
+    0xf0fde548, 0xfe4b9e48, 0x9974c4fe, 0x97ca2f7f, 0x9dae1f33, 0x2353aaee, 0x7ba0631d, 0x33cce52d,
+    0x60e50b3d, 0xea010b22, 0x484fb6d9, 0x397d062f, 0x41eafcfb, 0xb88579dc, 0x2af25865, 0x55b26907,
+    0x2935b385, 0x66aeef02, 0xdc0b4ba4, 0x606aa162, 0x09798fdf, 0xbf36174b, 0xe2b6da0d, 0x200efa45,
+    0xc1ef23da, 0x10b10a3a, 0xfd085163, 0xfe963a1e, 0x9e79e452, 0x2de53bec, 0xd544f7c0, 0xac6fc81e,
+    0xddacda1c, 0xdade05a7, 0x886c5572, 0xaaedda3f, 0x51cdf72b, 0x19f4aa29, 0x635116ac, 0x9698c387,
+    0x8b600dc7, 0x5655340b, 0x1a8f518a, 0x778e878f, 0x037b006f, 0xe6d62880, 0xf137317d, 0x54e290c0,
+    0x5ff49876, 0x05f176e3, 0x3bb3650a, 0x9a53bb5a, 0x06cacd3a, 0x0c451cb5, 0x7a203df8, 0xf9dfa4ca,
+    0x81e30cba, 0xabcb5714, 0xde43e537, 0x9fdd31f5, 0xf4601f15, 0x3173a57e, 0x4c643248, 0x21138ab4,
+    0xb536db2e, 0x3736c74c, 0x21456b0a, 0x1d3a3166, 0x3c75b0fa, 0x7a6cc362, 0x2239b71d, 0x52b91a98,
+    0x51bd4daa, 0x50e599b2, 0x2316ea1b, 0x46c684e0, 0x1c1466fa, 0xed29ab87, 0xda9f79c9, 0x08f3f438,
+    0x4aab9f54, 0x5ae24920, 0xbe5f1daf, 0xd5f8ad15, 0x0bcdd3a5, 0x20c346f0, 0x3370d1c5, 0xf66363a1,
+    0xe85b73ae, 0x8b8db383, 0xfe2e45db, 0xe00f8de7, 0xd2638d43, 0x2b60de2a, 0xc1c517cc, 0xc47202b9,
+    0x6828dacf, 0xd1df7951, 0x216e8b22, 0x20164995, 0x8534d1ab, 0x502051a0, 0xe4c46903, 0x0a45686a,
+    0x8f77ed16, 0x191141a4, 0x137a2b44, 0x1ef66d1a, 0x56af9f89, 0xfc63e02a, 0xdef0a8e0, 0xa3639a57,
+    0xd1f264d5, 0xf11acdc7, 0xb6740ed1, 0x8b282831, 0x7a4cc685, 0xcdb68123, 0x9a24466e, 0xfd58618a,
+    0xc80fbea8, 0x9ab54e3a, 0x4ffd8f39, 0xed951bbe, 0xe2c8e67f, 0x793107bb, 0x9a9727c9, 0x528f371a,
+    0xb95d06eb, 0x7166d8fa, 0x040f499f, 0xe6b5c1fa, 0x7898f56b, 0xf88f3c2e, 0x470507f2, 0x6d331d19,
+    0xbf2e870f, 0xaa5b0dfe, 0x04b377be, 0x55da24aa, 0xb3520baf, 0x0cf73687, 0xc909725e, 0x0837e59c,
+    0x49213290, 0xf583c1fa, 0xd936aa3b, 0x91975de4, 0x906648aa, 0x05dbfd56, 0xa8af3037, 0x68f3b4c9,
+    0xef016aff, 0x801b45d4, 0x92c80106, 0x36d408a5, 0x3c678c2f, 0x85249a06, 0x91be3b25, 0xe4fc5051,
+    0x690a2586, 0x1b362ec2, 0xf641509f, 0xb12c014d, 0x5a043767, 0x40b3d357, 0xb18e09a8, 0x96d2508c,
+    0x2dd6a930, 0xf704bb3f, 0xf6a25f3d, 0xac933eea, 0x44e8f6fa, 0xcfff7d98, 0xdd7c7ac7, 0x6d9c3015,
+    0xe1a10748, 0xf5671599, 0x349a7d49, 0x80dd31c2, 0x5af8df4b, 0x4ff9d26a, 0x01ebcf49, 0x69464c6f,
+    0x1c11d8d4, 0x45090c73, 0x9b957558, 0x935f4f08, 0x7c7789dd, 0x4d820f9a, 0x8f92c490, 0xb479efd5,
+    0x42865d06, 0xa07f81a2, 0x777d36e0, 0x1dc6ca51, 0x0fa5e3b4, 0xb1abe233, 0x43d374a0, 0x68f33da0,
+    0x72490b26, 0x2210a581, 0x3bec3b6a, 0x21c25447, 0x545542f6, 0xf0a08082, 0xeecde9f1, 0xaa0451e2,
+    0xd779622d, 0xd7c14e17, 0xf580a161, 0x4d4951c8, 0xce02224b, 0xd5a0d770, 0xadc58d82, 0x70468a56,
+    0x31418bd7, 0x2c4ac6a3, 0xabd3f7d9, 0xcb2e6869, 0x39ef2696, 0x4cf8d742, 0xa6663cc1, 0x6a53e840,
+    0x90e04226, 0xaa594d84, 0x52917e4b, 0xb19444dd, 0xec562970, 0x8b5b2186, 0xaaaf7534, 0xe6603651,
+    0x907fc6ef, 0xae59e5f0, 0x3593153c, 0xbfd5678e, 0xb4e83431, 0x0ccc86d2, 0x028534c6, 0x6deb021e,
+    0xea373560, 0x9b3d886f, 0x83c575db, 0x90dda939, 0xe9c39e59, 0x37c9277f, 0x13c150d4, 0x5b589958,
+    0xf93f9e52, 0x19486700, 0x0b9ca545, 0xa77dd910, 0xad84410b, 0x823b3600, 0x2327f82f, 0xe27088a7,
+    0x132cefdd, 0x1c1bc109, 0x293fca94, 0xae967937, 0xf8329ac2, 0x852236c6, 0x9f3ae64b, 0xab5dc8bf,
+    0x6fe1c27c, 0x556f42af, 0x40ff1f90, 0x53f6b8e8, 0x75cabc32, 0x7dd70edf, 0xec9178c7, 0xe4768983,
+    0x3cfdf9c6, 0x27f9b7d7, 0x38eb9bb7, 0x14fa2654, 0xa2a63d01, 0xdecd4601, 0x296388ac, 0x59d10687,
+    0x628c89e5, 0xb7e91293, 0x7323d74f, 0x65aa184c, 0xf0030f2c, 0x5c0d65f1, 0x00926e56, 0x0bf5e25b,
+    0x5dc4776b, 0xf2a1e8d9, 0x67832ddf, 0x5310f6dc, 0x2d61b407, 0xc5dd0687, 0x6c06fb86, 0x28aefb4a,
+    0xc548795d, 0xbbe15821, 0xfd214415, 0x1c9eaf84, 0x591c1a8c, 0xcff90694, 0x7cbd719a, 0xefd09183,
+    0xc5c7b227, 0xf3a1c857, 0xbf667720, 0x06a8fa79, 0xdc4063da, 0xdb182b2a, 0xf1871815, 0xd1aebd58,
+    0xf82e4933, 0x86e078ac, 0x3f519c5b, 0xec373c29, 0x2c1cbf11, 0xbb6c9fd0, 0x7366b5bc, 0x4e3cfcd0,
+    0xf93c6960, 0x65352c7f, 0xfcf53814, 0xa04d2d28, 0x25071181, 0x0cea8a8b, 0x5cf4707d, 0x47f8bf68,
+    0xd73a14e8, 0x9f7729f0, 0x2b43f54f, 0x22030f8f, 0xa42a4f76, 0x54ea5faf, 0xd8c8544d, 0x06c0a26d,
+    0x4c54f4b7, 0x0a0ce518, 0x1761cdaa, 0x5cb436fc, 0x616a9682, 0x05be5302, 0x7a4e1700, 0x5b5b0493,
+    0x2c9b7d11, 0xc5bd4807, 0xb408c9f3, 0x42763d8e, 0xc4538ca7, 0x05c23a4f, 0xd623c588, 0xbb38c843,
+    0xd30f5dd9, 0xfae5ccce, 0xc1e2ccf5, 0x2d5e49e2, 0xef5979f0, 0xe3246f50, 0x7fda07d9, 0x8dc1994c,
+    0x26074af1, 0xe52081cb, 0x82851853, 0xfc869467, 0x1bb33995, 0x80a7dd29, 0x3c334744, 0xcff4dcab,
+    0x3451c6da, 0xc6aa638b, 0x765b51db, 0x64109e3a, 0x2a8b7778, 0xb061cd9a, 0xfd5e022c, 0x9cc29f44,
+    0x6cae8a28, 0x62654f6d, 0xbfa770bb, 0xb770f820, 0xf6a8817e, 0xc65be081, 0x1294c0d9, 0x3f26b919,
+    0x423fe0d9, 0xf9e8cd1c, 0x3370d5f6, 0xebc1237a, 0xde3cdade, 0xe2fb7218, 0x00a7c341, 0x5ec2686a,
+    0x48b287fc, 0x7733d620, 0x29f6999c, 0x8520fd43, 0xd32c74cc, 0x86a5d236, 0x1fc6a5d3, 0x8b5da413,
+    0x7677201c, 0x0c2333f4, 0x298e77fd, 0x66de8d96, 0x9ea67bd4, 0x0860cc99, 0xb9357477, 0x56dedb36,
+    0xfda44863, 0xcbfa5400, 0x1a41faba, 0x2444429d, 0x50a68716, 0xcea228da, 0x68bde515, 0x7ce51959,
+    0x65d74aa9, 0xa3ea7588, 0x1c25d01f, 0xe79cf896, 0xd0958e8b, 0x89361e37, 0xdcd8fb1a, 0xfed365a4,
+    0x50eedb88, 0xb2860e45, 0xa8b1cffc, 0x4ce2cdd9, 0x484cc42a, 0xd821f764, 0x999edb08, 0x7b285aa0,
+    0x4f031106, 0xf66e71bb, 0xb85733ac, 0x0375458b, 0xda878105, 0x7cb988eb, 0xa23c9d87, 0x0fe06ef3,
+    0x009a01b9, 0x976f7be7, 0x64a3e06f, 0xa1364e70, 0x714c5d78, 0xa951499d, 0x026e0337, 0x6a8e473b,
+    0xe9401a3e, 0x7e88ef05, 0x50a1b4ee, 0xb61a8152, 0xb306d555, 0x63522aaf, 0x8e1d7c95, 0xf69cc20e,
+    0xf2529a92, 0x13dd6ad4, 0x7f70af39, 0x062831b2, 0xcb8d216f, 0x21c8a7f0, 0x397557cf, 0x9228196b,
+    0x33f93c2f, 0x06ff4ac3, 0x76b6d2b0, 0x118e8a66, 0x1e1a068d, 0xbe7d4984, 0x8c752aad, 0x517727f2,
+    0x4295aba7, 0x65a2e3f8, 0x8b87445e, 0xa01ffd3d, 0x28142c45, 0xc0f7d028, 0x3ef6f795, 0xa5b40b95,
+    0x4e0806e6, 0x016d2414, 0xee7cd9c0, 0x4ca7e262, 0x66b582fd, 0xe65044f0, 0x970a5636, 0xb25a7bff,
+    0x1779a213, 0x3e3169fa, 0x9d1aabef, 0x5153d86e, 0x03349ea3, 0xe28d2fc9, 0x5dda0618, 0x8bc2dec3,
+    0x92f5a6c7, 0x6b872fc6, 0x35fa927e, 0x7ab1f052, 0xb67db873, 0x32f58860, 0x6abf983d, 0xcb61f451,
+    0x2bd7f87e, 0x60a990c9, 0x6346341d, 0xb4f55b7b, 0x4e369742, 0xc72ae922, 0x08359c8c, 0xc468b319,
+    0x28fac5bc, 0x949d5ba1, 0x294fe296, 0x96a78555, 0x5791547d, 0xe18c359a, 0xeececd95, 0xcf79950c,
+    0x8ba5cc5f, 0x23306b4c, 0x54b96354, 0xb82374c9, 0x3a13b24c, 0x019dbc61, 0x1ca67adc, 0xdb6f448f,
+    0x1c47b20f, 0x5ad8e2c4, 0x186eac23, 0x6b9057dd, 0xf39bcb2f, 0xfb505423, 0x3528122c, 0x8a1c337a,
+    0xdca8b10b, 0x00306e84, 0x1a0de539, 0x9a499cb2, 0xb041957d, 0x2cd6ab67, 0x4321c9e3, 0xb601bc3b,
+    0xb253bf53, 0x63d2693c, 0xdc1c9e90, 0x01df5c08, 0x8f164b9a, 0xa723267d, 0x87b7e50d, 0x63d5ce1a,
+    0xef4d58bb, 0x8d333645, 0xce27e46b, 0x4d1f6ac5, 0x264132e6, 0x3427d983, 0xfb3fd8a1, 0xc571dc0d,
+    0x7d05ed5e, 0x2015aa6a, 0x1bd9d3d8, 0x83804ec1, 0x1db92cd7, 0xf3ed0e0b, 0xe0488743, 0xcc51258c,
+    0x7fadc6cf, 0xaee63e90, 0xd9b333cf, 0xc4c15694, 0x1e05155f, 0xdf07b93c, 0x2ca5cae4, 0xbe3b474b,
+    0x0ee6785f, 0xf765eec7, 0x5254d7bf, 0x1ffe7bae, 0xd9a7d917, 0x3f08a47a, 0x6207fb99, 0x4846d63d,
+    0x4db68792, 0xbdd54eda, 0x83f56c38, 0x6c595fab, 0x841e5ff1, 0x2cffe8fe, 0x0cb60932, 0x1d9cf19a,
+    0x29280acf, 0x6a630640, 0x4c34052d, 0x175ac8e3, 0x042e1727, 0x04b868f8, 0xeecef17a, 0xfd39b561,
+    0x13033701, 0x6b98fe37, 0xbfe5c214, 0xce92e7e2, 0x2e903cd8, 0xab6875dc, 0x58eebf9e, 0x5079b400,
+    0x2092e7c4, 0x6069d0e6, 0x0990f69e, 0x6535cdb4, 0x522dcc50, 0xaac2e8f4, 0x1c54f7af, 0xb63cd024,
+    0x80e09d4e, 0x5c0dde3b, 0x9727a739, 0x8abbeb03, 0xbd78e797, 0xb8f45953, 0xa820910f, 0x4918d1e1,
+    0x1b6faab3, 0x265757fd, 0xf44267d8, 0x157da593, 0x200a3bd3, 0x0918f76a, 0xe824e7b7, 0xbcdf1096,
+    0x22e8f292, 0x1b1f4bfd, 0x6a378bd5, 0x6520e2ce, 0xddead58e, 0xf287f36d, 0x83537ef2, 0x80cb7d40,
+    0x26aaa5b8, 0x86c47fbb, 0xe19a83a0, 0x8a393ecb, 0x754f38ef, 0x23e3065b, 0x8587d682, 0x07d59898,
+    0x38d41b57, 0xb143a271, 0x0b320b05, 0xf53887ba, 0x5416d468, 0x6431255c, 0x207226a1, 0x3042d5b3,
+    0xdd5d2a68, 0x377944ff, 0xf553d433, 0x18db3170, 0xccb3eaff, 0xdbada1f4, 0xc7caf295, 0xf041b8d7,
+    0x1683a9b4, 0x8ef78430, 0x149b8cb8, 0x967e7e69, 0xc6f1c3f0, 0x411dcd3a, 0x10f88494, 0x9d259e78,
+    0x529cb3cc, 0x4869917e, 0xe914e23c, 0x511c736b, 0xc00cf47d, 0x2c9b9a44, 0xe8068efa, 0xc4f6d6a2,
+    0xff2a9992, 0x2d47ac9c, 0x01c3e7eb, 0x649c5693, 0xc3a917e7, 0x8491fe30, 0xbebaaae9, 0x2b190490,
+    0x63b85694, 0x9602f31a, 0xb5c396f6, 0xb9a6c819, 0x5c0ea687, 0x813b2f09, 0xcdf3b5cf, 0x199f5b26,
+    0xfea43aad, 0x60f21758, 0xe18b753b, 0xa05b0154, 0xe8246d3f, 0x2e96df62, 0xdd60622e, 0x5508d5fb,
+    0xced6e6d2, 0x2abc2beb, 0x520f63a9, 0x0cdf604f, 0xaf3e2882, 0x8fcbf505, 0xe9e32a94, 0x3f311fb8,
+    0xea1e0238, 0xcab43bc8, 0xaad1d87a, 0xe572c997, 0xacb7371c, 0xbf00fbf1, 0x224f6da9, 0xf2db67f3,
+    0x7dd8887e, 0x65aa8e58, 0x11b3bd61, 0x3aa85174, 0x3c0245c8, 0x5d4133a6, 0x524ddb94, 0x81258d4e,
+    0x83d8bc82, 0xd9e9a932, 0x816189a5, 0x0e7d6305, 0xc3707af7, 0x7453d9c4, 0x2ef44f21, 0xc2f21f8f,
+    0x00000000,
+    0x9257edfd, 0x9a3715fc, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000039614081257132168796771975168 */
+  { 0x00000000,
+    0x002b894d, 0x22bc2eaa, 0x9be53e2e, 0x37bbe210, 0xe2acf6f3, 0x504df4a3, 0x57f99d82, 0x26f2ae60,
+    0x43a1761d, 0x9dd955f3, 0x543825b4, 0xebc9e18b, 0xa24e23d9, 0x86efd41e, 0x766dff28, 0x9869069b,
+    0x373902c9, 0x2cd070cc, 0x02a54019, 0xe1cc95e8, 0x483e2c06, 0x294cf07b, 0xb96de6b2, 0xb513566b,
+    0xce845bd8, 0x5532b74c, 0x21416842, 0x64279ffa, 0x912a7e3b, 0x8c843020, 0xa2d8088d, 0xb86ac553,
+    0x5cd530d5, 0xf2e89984, 0xf5459e4d, 0x3ddfdce4, 0x9eb52106, 0x61d7ca86, 0x1ecbf1bb, 0x64e218dc,
+    0x514b0cf5, 0x38b02192, 0xec76d422, 0xfbd2eb34, 0x7ac56382, 0x9ca2e915, 0xbb8c84a6, 0x329245e8,
+    0xe034ac75, 0x3951fbd6, 0x69f0ba94, 0xf514ce4f, 0x524922a4, 0x7637a63e, 0x373b8fe3, 0xa52d5d96,
+    0xe450988a, 0x4ed5fc02, 0x53dea701, 0x787dbc6e, 0x52ab6d86, 0xafc5590c, 0x3b8a79d7, 0x59fdf623,
+    0x33141a81, 0x5ce7f11f, 0x951a68b5, 0x8e5c8d15, 0xc968af0d, 0x67aa29d5, 0x73701a31, 0x25256ba4,
+    0x079c7863, 0x2faaecc6, 0xdd8f0aa0, 0x8e95deaf, 0xe587a6a4, 0x2a2f8008, 0xff8f9cd4, 0x9dcb5756,
+    0x024b83a3, 0x68362a69, 0xea768d9a, 0x74794182, 0x452a3b79, 0x1a94a61c, 0x475801a3, 0x5dcf1001,
+    0x9703df4a, 0xdf509ce5, 0x9772b47c, 0xcad78fc4, 0xbb5a342b, 0x1f2fc5a1, 0x71111d84, 0x0bf5fa31,
+    0x0f03cbc4, 0x9c292141, 0x320040f2, 0x734d1453, 0xf3db0b84, 0xc5ef9c7a, 0xa106213b, 0x1c00dd31,
+    0xfcfeb214, 0x94e5e8fd, 0x4a24e2f3, 0x747b6849, 0xc8490b79, 0x765e0d67, 0x0db55838, 0xac91c298,
+    0xae2353d7, 0x4dfeb909, 0xdea48daf, 0xa25b4596, 0x5a0511f1, 0x50bdd02a, 0x1b5f978d, 0x2e4cceba,
+    0x54cb1ef9, 0x0bd1cc87, 0xc0d8a834, 0xa061e3a4, 0x5a3d455a, 0x7b68e6e0, 0xe77f7877, 0x109ccb51,
+    0xd81bc39b, 0x6a64b949, 0x65436812, 0xea0eb36f, 0x75527e2c, 0x2e1d2a36, 0x7cc55e60, 0x731943a8,
+    0xf9ed5bbb, 0x5c0fb18f, 0xdc846601, 0xe1944fe3, 0x0c6af3b1, 0x61b8ef78, 0x93c030b3, 0xdd4fdaa0,
+    0xc4446390, 0x617bfe22, 0x49adc5b1, 0x70f9f152, 0x502787e4, 0x458bb5ae, 0xab42c522, 0x05343e4b,
+    0xc57ccaec, 0x7860219d, 0x6abbec86, 0x599133cc, 0x00f4a880, 0x9bd26539, 0xd663cf2a, 0xe184c5b8,
+    0xb57e47dd, 0x3f7c3177, 0x8d7a5e3a, 0xe9570077, 0xf1626415, 0xed99ca1c, 0xbd357bf6, 0x8a63445a,
+    0xc329ce04, 0xf17f32e5, 0xf44ecec7, 0x049a7fa7, 0x6d6d5e47, 0xde21cd69, 0x654c2d67, 0xca98f038,
+    0x9e3132e8, 0x1acde95c, 0x8bea3643, 0x161fb984, 0xde7fcc1c, 0x1b23f054, 0x047f5468, 0x0e09a94c,
+    0xe928954c, 0x78c5530c, 0xff4a9cfb, 0x48013869, 0x858cfae0, 0x4d8289b1, 0x250c74a5, 0x3f57ea0c,
+    0x54235411, 0x4492d6d1, 0x7b2f00ff, 0xc16a01c4, 0xf3f565ed, 0xd3d1ebd4, 0x1b45d6ae, 0x46add605,
+    0xb62b6d36, 0xeceae000, 0x5343b82b, 0x1b4fe7e5, 0x706b36ac, 0x27977ce5, 0x7a29fc63, 0xe2844cea,
+    0xe1b3584f, 0xdf767591, 0x51b32f78, 0x5e888517, 0x217a401c, 0x1f03be7a, 0x040e3ab1, 0xe9d4c741,
+    0x5cec9b02, 0x050cc53a, 0x308ad9d5, 0x578d1924, 0xa1ee8d63, 0x7cfba19e, 0x90b89d35, 0x8a700207,
+    0x7fd97b6b, 0xc8e5e314, 0x982fc88d, 0xdb1467d3, 0x6c63a24a, 0x6c6ec94b, 0xc26bbb4b, 0xaebc9e21,
+    0xc168fcf1, 0xddf07d4a, 0x7df15eb3, 0xfd1ec464, 0x85be917a, 0xb3f407a3, 0xe3219bb1, 0xadf3afa0,
+    0xd486aa84, 0x88b96277, 0x2b22defd, 0x63db5735, 0x2a1260ae, 0x618c942b, 0x9b8a82a0, 0x5c0dfa5e,
+    0xad680961, 0xe3e4c44b, 0xe571a189, 0x4bc6c98e, 0x7275d676, 0x76e7a15b, 0x4e6ff432, 0x142bd1ca,
+    0x4f692bc1, 0x44b01cb1, 0xeda2c100, 0x9307ac9d, 0x2ec76752, 0x0a18d7ca, 0x4fc6e492, 0xf0efad0e,
+    0x4891a998, 0x28cee9a7, 0x84d350c2, 0xf745afa2, 0xde13a303, 0xea587331, 0xfb581cf3, 0x5be6235d,
+    0xd8c9793d, 0x9f03515f, 0x89c58802, 0x1ed81e31, 0x5f2054cc, 0x3fd8f7b9, 0xee5d3078, 0x8bcaf5cd,
+    0xe591999f, 0xe3603cfd, 0x96e38045, 0x7d84d40d, 0xf7ee006b, 0x53f83327, 0x83851e36, 0x600424b6,
+    0xdcef9a1a, 0x0b34c8f5, 0x69bd00ec, 0x1686b305, 0x2ed76ec6, 0xe426332a, 0xe47ae032, 0xf625c67f,
+    0xc28d37f4, 0x41227e18, 0x58c8ebcf, 0x4376678a, 0x54007563, 0x7af17392, 0x82a778c5, 0xdfded5d4,
+    0x51927400, 0x17183f6f, 0x42380eb7, 0x217e96b4, 0x368f7d2a, 0x6cf6ae56, 0x45c1e451, 0xdeeee0e2,
+    0xa7603a8b, 0xa55d380e, 0x63174901, 0xfc1c3f7e, 0xa9414533, 0xfc9cdd37, 0xd4e7c433, 0x5664f71f,
+    0x38f4d328, 0x82b2fb55, 0x74625128, 0xf014812b, 0x597c138e, 0x657287ef, 0x01f38a1b, 0x9703a7b1,
+    0xd3af5988, 0x0dab7cc0, 0x954b7ef5, 0x088d7ffb, 0x4056add9, 0x07abb769, 0x710f0e70, 0xb43d44b6,
+    0x4244cb29, 0xbc41b4dc, 0x0c5200c6, 0xb5edb56d, 0xcb012bff, 0xfd4ad8ea, 0xa9d46a7b, 0xfedb5671,
+    0xa469e314, 0x78abe61e, 0x25aa3961, 0xed5300d6, 0x8f254f59, 0x4e0cfe09, 0x121c3c0e, 0x25b73695,
+    0xf366e5d8, 0xa836e5e9, 0xfbb7908b, 0xe34d7641, 0xbf4075d7, 0xcef5ebce, 0xc7eff5c2, 0xb497f6fc,
+    0x88791edd, 0xd6bec531, 0x6e19030c, 0xda537336, 0xc7aa3e6b, 0x4f2e2b4b, 0xed6a7d19, 0x2072c793,
+    0x78ef94d0, 0x31beccb5, 0x6e35ae32, 0x2676c83e, 0x5df16ecf, 0xc12368f5, 0x2d3abc74, 0x8a920e86,
+    0xff7ba4dd, 0xb982e4f2, 0x7eb2ac56, 0x42fb2fbf, 0x95451da2, 0x9559d9c1, 0x3d2bab53, 0x805aba3b,
+    0x92db92a7, 0xa1c9a026, 0x15d97d73, 0x64df697d, 0xdfc1d102, 0x614118c1, 0x0baccfee, 0x00ad96be,
+    0x1c4182fd, 0x479c43b3, 0x98de8574, 0x92003815, 0x8010af42, 0x2c3b8aec, 0x752f5e03, 0x51af654d,
+    0x27c3c5db, 0x18de97be, 0xa066c080, 0x1491706c, 0x1de6196c, 0x3446981d, 0xb8371b8b, 0x71af6e97,
+    0xc81f56f9, 0x43ff50f4, 0xe688ba5e, 0x61da51c3, 0x771b16cf, 0xfeda6dc8, 0x4de3d286, 0x1b5b874f,
+    0xa8d4dd5e, 0x2d573a40, 0xbe9b33f1, 0x94b3f82c, 0x890489a6, 0x00905fe7, 0x25e0c2ba, 0x66e26324,
+    0xdf4ecd4e, 0xaf0b6a24, 0xa7ddb47e, 0xb3f9378e, 0x545c361a, 0x23c87cf0, 0xa3843d02, 0x4baae47f,
+    0xf9011b2d, 0xde81b490, 0xa4971300, 0x0e02a286, 0x75a94c74, 0x373b96f7, 0xbd37b95f, 0x948cb929,
+    0x6dad3318, 0x9a5dc705, 0x2574dcc4, 0xbf43bd08, 0x719a40a2, 0xd02c57d5, 0x773948b1, 0xef0237d9,
+    0x805c38ea, 0x4b75ba56, 0xff9b8805, 0x5b66a665, 0x10b849fc, 0x1dca12e9, 0x55c62c56, 0x300d0aed,
+    0x517751c1, 0x31149b20, 0x2c534150, 0x3f1584d0, 0x85ec52f6, 0x73332277, 0xec4e4fc1, 0x96f9cc0a,
+    0x0eb2d152, 0xfb0d8099, 0x2cc34ede, 0x1247ef3c, 0xd3028356, 0x75ec62b8, 0x4fbc4087, 0xf2ecab83,
+    0xcaaee987, 0xc0ae2ca7, 0x52e30a61, 0x53588624, 0x2219dc0f, 0xa63d4fcf, 0x07b1ee65, 0x9aac2bc4,
+    0xe4416214, 0xf0bd41e0, 0x9e9565a5, 0xee1ddb16, 0x1432c7b5, 0xff73ecf3, 0x6c0a5dbc, 0xe892caf5,
+    0x03c83f20, 0x9400641d, 0xaf63d712, 0x43215b6c, 0x0075a7e7, 0x67bddd78, 0xcdd25aee, 0x69fe46b3,
+    0x753a7927, 0xd0577479, 0x485eb2ae, 0xd1ef1cb3, 0xa3d404ae, 0x94cfaa39, 0x10a87f5c, 0x66483614,
+    0x38e7ddb3, 0xb7da3a06, 0x1477f157, 0xa7874ce3, 0xd572aa70, 0x433e6412, 0xb1f64bf1, 0x6eed228c,
+    0x0844437a, 0xa25fdf43, 0x47a11785, 0xfbcf5752, 0x4e48e2cd, 0x56c5738b, 0x28778b19, 0xf37ea663,
+    0x2c0cb349, 0xdeb794d4, 0xedb8c429, 0x7b4b95c2, 0x829eb7d1, 0x8ff53cf2, 0xc40072b7, 0x333e9633,
+    0xfd121b85, 0x134e0e26, 0x02adb903, 0xbe75a653, 0x34be89de, 0xe9ba8164, 0xc3a0007d, 0x53b27788,
+    0xfe58fd71, 0x6a363bf6, 0x4c42ed58, 0xf91cd662, 0x952d64aa, 0x251753d9, 0xc33257aa, 0x336659b9,
+    0xcc7c9b4f, 0x77cb4999, 0xb341b149, 0xff220192, 0xfad087cf, 0x5dbcf4e7, 0xa2095536, 0xd6271007,
+    0x67231ac1, 0xfdefe6af, 0x3008d6f0, 0x9c34d740, 0x5d11b293, 0x0c5f8a25, 0xb6d41003, 0x9069d9fb,
+    0x3ca0e9d7, 0x8892668c, 0xcccd7560, 0x103fbe2d, 0x77a09756, 0x0c320d33, 0x47a32000, 0xf36c3162,
+    0x4c06d980, 0x5c39b2cd, 0xfdba7d1a, 0xde6f3a51, 0x9a69e932, 0xec60e039, 0x94f5134b, 0x35fda534,
+    0x1df7b425, 0x20da7dda, 0xc0817f4f, 0x932a1250, 0x6e012de2, 0xd64bae21, 0xc597822f, 0xc6dbac0f,
+    0x97ea9df7, 0xb7e7c566, 0xc256d297, 0x161036a1, 0xf768498d, 0x617ebf07, 0x87062140, 0xbab1d9e5,
+    0x6f6e2b69, 0x59cea591, 0x02f073c2, 0x02484192, 0x31de2c6c, 0x033bb61a, 0x18f4c6b4, 0x0ffd8b0e,
+    0x9c60a2af, 0x03ccd157, 0xd170dc1a, 0xee8f5b1e, 0xa2a348ed, 0xa35d594b, 0x3e79f782, 0xa0423f68,
+    0xa6221452, 0x06091a58, 0x86667b91, 0x74de128e, 0x0bad9354, 0xf9c7c9b5, 0xdb774942, 0xccbf82e4,
+    0x4d55067b, 0x238036e8, 0x2f6d4913, 0x43960a47, 0x8819d307, 0x83858101, 0x8b77d285, 0x51842172,
+    0x79915226, 0x24f73208, 0xddace069, 0xd7207cef, 0xb6037e7a, 0x1a64ed11, 0x373b1b86, 0xdfcb50cc,
+    0x77e74639, 0x51f074b0, 0xb82397c0, 0x4f8cc176, 0x33d811a7, 0x4c3ee812, 0x31f0cf0e, 0x1f9fcf2e,
+    0xe99f6540, 0xaf2fdff0, 0xf70179b9, 0xcaa323ec, 0x7c77cd44, 0x287f61bb, 0x59fd7032, 0xb3ec299f,
+    0x4d03d24b, 0x55b8331e, 0x91c6f144, 0xa0b84a14, 0xb4a32b12, 0xadbd1648, 0x80a15288, 0x460e6ff4,
+    0xdfebfb30, 0xef5346c0, 0xc3788267, 0x37c732d1, 0x3928e237, 0x633be684, 0x62789664, 0x2ddcc374,
+    0xc5ce9d1e, 0xa3058be2, 0xe3f6d885, 0xad20396f, 0x439ba969, 0xca753d0d, 0x768e5c72, 0xe6653031,
+    0x9a334d46, 0x06814c43, 0x3f44d56c, 0x9a20d0f2, 0x19875797, 0x966305e2, 0x8cf7de54, 0x540ae3e6,
+    0x872c4aea, 0x0f2d03f3, 0x06c92b6f, 0x312da58f, 0x459dbb98, 0x8794e448, 0x7f2f331b, 0xaef366c6,
+    0xf976f347, 0x349755bc, 0xbcf8a0e5, 0xf91b45df, 0xfd811024, 0x99a3f3bc, 0x646e0f72, 0xe18db19f,
+    0xb842857c, 0x9a7a41b8, 0x16197009, 0xd22966a3, 0x3a8bd982, 0x2b1ff60e, 0x5f22bde6, 0x3065f622,
+    0x4710c453, 0x3c19161c, 0xc2f4213f, 0xf2994437, 0x720addee, 0x975819b1, 0x23a4fb10, 0xa7e93bfa,
+    0x808709d3, 0x17d066fd, 0x150e6cb9, 0xde5c7b7a, 0x839dbed7, 0x570f09e8, 0x57a91471, 0xe6f16c01,
+    0x0b7a8fcb, 0x9dc6a9b3, 0xcf6b9870, 0x043c6b4c, 0x68048bc3, 0xe65f4564, 0xc35139ec, 0xcd61848d,
+    0xac7d897c, 0xbc2faa7f, 0xd0c6f2df, 0xd7c16cbe, 0xdcd1fb82, 0xe25aaa76, 0x577b1e2f, 0x271352ec,
+    0xbd5c28b5, 0x1638c0d7, 0xd85e01e5, 0x9f2c340e, 0xddc78260, 0x8dca5e95, 0x6aa74710, 0x8cc4c085,
+    0x7238ba6d, 0xcf7f5efe, 0x9252c130, 0x732f5d55, 0x8c83ee31, 0x3b4e88f8, 0x7da28565, 0x437fc068,
+    0x2f529965, 0x0ecf94fd, 0xad85482c, 0x69cc6381, 0xd36df112, 0x9cdd1bb0, 0xbfe99a9d, 0xe35d4d5d,
+    0xfc27e781, 0xfe492c94, 0x9a31b24b, 0x54317bc9, 0xb808bdfa, 0x6f1253c6, 0xa030b8c6, 0x0df91057,
+    0x87c22479, 0x85683865, 0x2f931fe9, 0x03b29205, 0x0d290984, 0xb5eb82bc, 0xd39ce1af, 0xde238e40,
+    0x52e24d26, 0x647cfe5f, 0x3c20cf90, 0x5126a965, 0xfbafff63, 0xeb93d64f, 0xb833d4b1, 0x2139e93b,
+    0xa9bd6f80, 0x9bf54137, 0xfbeaab98, 0xe7e049e4, 0xd2212b2a, 0x3d208a3d, 0x1ee8e625, 0x854b8088,
+    0x55ad1de4, 0x04490d70, 0xf34fbfcc, 0x46d7b8bf, 0x9878f12e, 0x85b282b1, 0xfa7d2613, 0x5d3f91aa,
+    0x477bd09d, 0xf103e048, 0xf00a5c8b, 0x7fe11ea3, 0x894ae581, 0x4dd98825, 0x1ea89fa0, 0x89698f33,
+    0xd48c5833, 0xa68a7292, 0x1c37dff1, 0xa9578770, 0x7453b702, 0x68b05ee3, 0xe98771f3, 0x15bb6c5f,
+    0xffc47780, 0x0c2116d2, 0xf2e093b5, 0x211d56c9, 0x9b5dc3c9, 0xe6ad7767, 0xe2e2ce81, 0x6e7f7cb4,
+    0x6abbaaf9, 0xfc45dc2a, 0xdc26b4e1, 0x2223e003, 0x7a0b0b57, 0x1e756ae1, 0x9239ec7d, 0x7f97764f,
+    0x086330aa, 0x53420ceb, 0x274ca754, 0xf43e61a4, 0x7bbfd126, 0xeba0a720, 0xf0cdc541, 0xed4054fb,
+    0x588e1e60, 0x521cf630, 0x13a128e4, 0x46059c27, 0x9bd0e173, 0x9d0af492, 0x9aad0adf, 0x8bc11587,
+    0x8e1e52fa, 0x8286a6af, 0x9ab68813, 0x58feb8d1, 0xc00814cc, 0x5a55300b, 0xa93dd5c2, 0x70d697ac,
+    0x8af9eb12, 0x5fec9725, 0x265a4a51, 0xde2c3c8f, 0xf1312243, 0xb24edb4c, 0xe6ad4f5c, 0x6e580794,
+    0x02362626, 0xfa92abff, 0x7dad207a, 0xb20da389, 0xc9747f70, 0x7c1be0db, 0x67417d75, 0x40bf2d72,
+    0xbe9776a7, 0xa3065b45, 0x51c13728, 0x56e21421, 0xf0d7e486, 0x9acc5d8d, 0xcd97ffc0, 0xb2651bd8,
+    0x3ace6f5b, 0x65878af3, 0xc5a4c669, 0x966f2ede, 0xdb121735, 0xcfb2da34, 0x0fea040d, 0x52e83e84,
+    0x9c4e2ce6, 0x4c9c8163, 0x09742fff, 0xc635e3df, 0xaadcda28, 0xb40c84e8, 0x32c26101, 0x0a722a84,
+    0x61807087, 0x1869971a, 0x3a45be0a, 0x550993f1, 0x3f331cd7, 0xaba0b58b, 0xf29c5335, 0xc0fa1713,
+    0x81cecc65, 0x77709068, 0xf4b746c2, 0x837f0cdd, 0xf32127a0, 0x1763b0fc, 0x6f722eab, 0x67e11a77,
+    0x76f9b861, 0x16e0d352, 0x56ebbee5, 0xffe143b2, 0x507c88ff, 0xdfec0b95, 0xd02ba7f3, 0x37943c76,
+    0x5c29b631, 0x118b19e1, 0xf0791e08, 0xdfdde488, 0x59b4f59b, 0x026d90f3, 0xac8da7b8, 0xacdbaf24,
+    0x68f6b92e, 0x8d657e2e, 0xc72ad537, 0x0bcf46bc, 0x09aa0975, 0x1cefd45d, 0xaf63bb1a, 0xc2beab12,
+    0xaddfaf7e, 0x2610af19, 0x24718b53, 0x4a968fb3, 0xde99a7f5, 0xee0cde94, 0x2ec3aa9b, 0x652362d0,
+    0x2a1e9e06, 0x9a52a103, 0x2b1abe43, 0xdb3fd14a, 0x3b9c92da, 0xf09d7c2d, 0xbe5f9fde, 0xa26425b6,
+    0xae3b5747, 0xd318eae3, 0x73b2f13d, 0xec2f1f7c, 0xd3a4e4f4, 0xcc1bf146, 0x14211eec, 0x74d9a4e3,
+    0x96156ef9, 0x8cc506d6, 0x829ab70b, 0x4db67dd6, 0x033eb350, 0xfff5cc28, 0x439bc265, 0x805e501b,
+    0xa6eafa57, 0x4dc62beb, 0x407a2700, 0x0e49ea90, 0x1f190003, 0xef6cb888, 0x8693f5e1, 0xa013009a,
+    0x7a89b99d, 0x1245d9a5, 0x67f4e5f3, 0x3b419c0b, 0x4f89457c, 0x96777644, 0xe47d2881, 0xb8df14ce,
+    0x32cc54ba, 0x08039454, 0x0c6be6bd, 0xbce250ba, 0xb0e1d42b, 0x9aa6b71f, 0x7901c26e, 0x4d8f4961,
+    0x730fffd4, 0xb38af1de, 0x72fd9116, 0xed7326d3, 0xe11c5d69, 0x6b68fad0, 0x6cea10c2, 0xb6b1bc88,
+    0x79e136bf, 0x0237a194, 0x5e1413d7, 0x02511932, 0xaed5629b, 0xca0a488d, 0xf0416169, 0x9df72337,
+    0x00000000,
+    0x492bf6fe, 0xcd1b8afe, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000019807040628566084398385987584 */
+  { 0x00000000,
+    0x075546eb, 0x372e6345, 0xc6fcfb59, 0x0eeee15f, 0xc7c0e46c, 0x6c1d21df, 0x9edc81f4, 0x4a754a98,
+    0x030d6b9d, 0xad947caf, 0x5d4b0889, 0x9d1c52e4, 0x705bfce8, 0xbd6be863, 0x4ba5de78, 0x8179b195,
+    0x427cbb34, 0xef84d414, 0xd09e6dde, 0xe888fb28, 0xa44abdfe, 0x8b6e2dfc, 0xd18fd1f6, 0xbc48c656,
+    0x05197eb1, 0x309b440e, 0xeafe6fe4, 0x698822bb, 0x32114ed1, 0x088fee50, 0xa76ef682, 0x6cf16564,
+    0xe393bd11, 0xcf08c210, 0x7670e806, 0xb2f887f4, 0xf651390b, 0x64dbdbde, 0xbea154f9, 0xce02013f,
+    0x5614c7b6, 0xe4151716, 0x9172b0e0, 0x858689a5, 0x8fc5c299, 0x39a94396, 0xfb815944, 0x6d6b03d6,
+    0x0ac357f3, 0x476274da, 0x1090c986, 0x4bbebee7, 0x78e363a2, 0x251ca003, 0x63d382e1, 0x9d439f92,
+    0x7a5b958b, 0x0000121f, 0x05e86afc, 0x592cf3a9, 0x3ba616cb, 0xed8ae8c7, 0x8a068362, 0xfcbdb14e,
+    0xc1d5b037, 0x57dd2285, 0x8fc62404, 0x14a43d88, 0x96b8049a, 0x82ce50ed, 0xb3663df2, 0x4b77b4e3,
+    0x869f15f2, 0xea4a6fb5, 0x9e6db938, 0x648b9102, 0x69e064b8, 0x62de7a14, 0x516c7b92, 0xc9819a1b,
+    0x5c3c703b, 0xcf15d667, 0x1870a317, 0x4007e3af, 0xf300fbb4, 0x98a0c6c7, 0xd4389f8a, 0x918febb5,
+    0x0f7904a2, 0xc39803b2, 0x2044967a, 0xf5f7181f, 0xce983edd, 0xaa13c794, 0x2a927340, 0x2f3cf0ce,
+    0xf69da3f2, 0xd2e5fe25, 0x90dfdd83, 0xf411c7c7, 0x0ea9f37c, 0x1e66231a, 0xe7c208c0, 0x8e55b353,
+    0xbc1f644c, 0xa785720e, 0x39c4b701, 0x067e5d10, 0x3ebf3827, 0xcd2fca0f, 0xd49cfd1a, 0xd9e7feb8,
+    0x0e9a37a0, 0x2c4f1691, 0x686bca79, 0x8d1f8489, 0x3eedabbd, 0x00e8f35a, 0xbc709877, 0x42a59a23,
+    0x35b5395c, 0x2826a420, 0x2ef04ec2, 0x7e1ee4ef, 0x78ba7c6c, 0xc9cef3b7, 0x1c81d126, 0xad3f3db5,
+    0x9d88c4ae, 0x245a71f8, 0x03ca34ed, 0x40f59d39, 0x26072580, 0xd6f5049c, 0xe439c454, 0x97d1886c,
+    0xac195f5b, 0x89df458f, 0x8ec94ad0, 0x374700f4, 0xdc2e9d7e, 0x3f8281ed, 0xc9423242, 0x38f3d1d6,
+    0xaf395dcf, 0x44034057, 0x11e0a8c3, 0x328f0faa, 0x336d9f74, 0xf636fed9, 0x80b99006, 0xd182e263,
+    0xd9d73d59, 0x89fd8c7a, 0x8449bb56, 0x5e97b33e, 0xf10eed37, 0x4c06c0d8, 0xd83b069e, 0xa6794972,
+    0x6027dd64, 0x6c09ea57, 0x28eb8c65, 0x35d91d44, 0x3676f842, 0x6a955871, 0xf0e0ceec, 0x88bc70db,
+    0x43f55f74, 0x86b41b09, 0x2bde7ce7, 0x5fab2a09, 0xf61e3c41, 0xafca1f1b, 0x08e77287, 0x9b18eb62,
+    0x36086d97, 0x4882553a, 0x9e74cda4, 0x77603cba, 0xbdf83c25, 0xb6888f75, 0xa71313c7, 0xc515e393,
+    0xbaff095d, 0x80670857, 0xa8a084cc, 0xa1d70617, 0x8e281db6, 0x745ea013, 0xf748c095, 0xad7dcb67,
+    0xfbaf272e, 0x39e73f6b, 0x32aa6830, 0x079b4cba, 0x28f48080, 0x486be28b, 0x9fdde131, 0x5838c97b,
+    0xe3b9af34, 0x01133f24, 0x625f0517, 0x1827c77d, 0x7c8c00fc, 0xa14c4e57, 0xf772c2b8, 0x846ddbae,
+    0x56162583, 0xc2249353, 0x1ef26380, 0xaa2ee789, 0x6808a11a, 0xee2c4e57, 0xdc08b7e8, 0x78f617b7,
+    0x90bf098d, 0x0d0e6869, 0x43004684, 0xe6807004, 0x4e34199d, 0xbc35efbe, 0x4d329f3b, 0xe0e81983,
+    0x68a45100, 0xdc7aa3d3, 0xde29e4b2, 0x4a3ca784, 0x1cd0c6ea, 0x24c7e57d, 0xb21a8b03, 0x768b1757,
+    0xc3c30120, 0x1bf86eba, 0x64aebace, 0xfa1902d8, 0x470fb3b0, 0x28917536, 0xd3adcc15, 0x291f8151,
+    0x9d52740c, 0xd5134f6e, 0x0211282e, 0xdb1067d3, 0xd0982041, 0x5df77229, 0x9b50ebfb, 0x4ce590c8,
+    0xb4fc973a, 0x0586e848, 0x42614323, 0x911ffba5, 0xbebf2bbe, 0x4103bd43, 0x17850d11, 0x240fc5bb,
+    0x5e0938a1, 0x098376c8, 0xfa1cb5ac, 0x1a933697, 0xf77e18c2, 0x77090922, 0x28eecc6a, 0xb2bf1fc6,
+    0xc102f66a, 0x9736d6da, 0x463f3c09, 0x3041edc4, 0x8737e5b0, 0x28aa8824, 0xc6ec8466, 0x9f40b486,
+    0x9668cb51, 0xb05d557d, 0x4b281a7a, 0x11c07ef5, 0x28de42b5, 0x5dfc9bbf, 0x09504259, 0x9e877bc7,
+    0xbdb9434c, 0x09f83336, 0x20181d7c, 0x39fa8e90, 0xd4bd00d1, 0x36e87973, 0x3f1021d8, 0xa5ce9c4b,
+    0x7abfa600, 0xdb2260d6, 0x22662f84, 0xfb0e5e86, 0xfd4e7b23, 0x7174f7fa, 0xb3ec1b99, 0x05685f40,
+    0x8832d6d6, 0x371c0bdc, 0xf17ea4e1, 0xdfd97bf5, 0x259455c7, 0x6252e166, 0xc23ad39d, 0xbfea8bbd,
+    0xc9096bc2, 0xd3e0f87e, 0x6a797501, 0xeebf0694, 0xd370ad81, 0x6ec58f71, 0xfcee3cb7, 0xc6c16389,
+    0xb96c5fed, 0x1a89beda, 0x643634dc, 0x2e7d5e88, 0x3987cfee, 0x6a2a6ae3, 0x337f7785, 0xe3efe7a6,
+    0x3b8ad7d9, 0xd196511f, 0x00463c93, 0x422a70e1, 0xf7e684a7, 0x0d6daf4b, 0x49d20dcd, 0x04959547,
+    0x56dd9af8, 0x5959e84e, 0xfdb055c9, 0x9cddc196, 0xd97ee0db, 0x234553c7, 0x57e35fc6, 0x9dd4c295,
+    0xdde6c31b, 0x2cbe516a, 0x9c203cba, 0x3f723e33, 0x67158ad4, 0x1227b1fd, 0xeda303fc, 0xe3caf205,
+    0x3176ab2d, 0xa1a9b66a, 0xa4c61dbe, 0x100ee824, 0xc4899c7b, 0x1b9264f6, 0x2c1fde57, 0x20486f41,
+    0xa5d5d4d2, 0x436ab666, 0x6b25c689, 0x18e0432d, 0xc618a551, 0xcc92fd3a, 0x6f8a8c15, 0x74bb8ddd,
+    0x74e1443f, 0xca820565, 0x254b111b, 0xde2e9b3a, 0x229ca14a, 0xb903c26a, 0xa3b84226, 0x288de1ae,
+    0x960cb46d, 0xeba2610e, 0x7cc38717, 0x2dc0acc0, 0x692534dc, 0x25dc8861, 0x0d044803, 0xd133e0de,
+    0xc1529301, 0x7f472f2b, 0x0b03c8ee, 0x742bb30c, 0x64a5979e, 0x3c7024a8, 0x4f013531, 0x6119b1d0,
+    0x203c3aea, 0x62d95831, 0xeb0695e6, 0x05bc4de7, 0xd79a4e5a, 0xfc18b39a, 0x3102a875, 0xf5f7d146,
+    0x947b53d0, 0x55471a2c, 0x1046842a, 0xe85c8fcd, 0x2cd37911, 0x6f41896a, 0xadd1a172, 0x07ebc48c,
+    0x800a00db, 0xbf788ff5, 0x036e5ce9, 0xc2e83e65, 0x109cc511, 0x9521ff50, 0xd50b32e7, 0x7d7e6f53,
+    0x23af4758, 0x1dccc774, 0x9f2c0fd3, 0x03cfabd1, 0x07c78544, 0xa27e8adf, 0x98b533ab, 0x53eae340,
+    0xcad07fe7, 0xf765b5ca, 0x2c2ca4aa, 0x7fa41a57, 0xf24080dd, 0x2c2ba711, 0xde059bcf, 0xcdfc09c6,
+    0x6c4193e7, 0xaf0f6fa6, 0xd7303c9a, 0x50f5c31c, 0x78a7e137, 0xdab5f099, 0xff9a4377, 0xe26a34a6,
+    0x7c6d86b9, 0x0b1568cf, 0x60460df8, 0xd838bb8b, 0x5690baa5, 0x006670fe, 0xc1895667, 0x287bc5e0,
+    0x04507780, 0xc5e0d8f2, 0xce1acfa0, 0x7ac55dc3, 0x95ee651a, 0x58617fc9, 0x2a67d094, 0xe984732c,
+    0x1b471c0d, 0x879f8497, 0x2da6da53, 0xbe5fddc2, 0x4af39b3e, 0xefad2055, 0x66d7f20b, 0x98031a2d,
+    0x23236eff, 0x76908723, 0x2372d5e9, 0x1a158e92, 0x5938abdb, 0xc9cb7d28, 0xe7896f53, 0xd1bfc77b,
+    0x5f029417, 0xb8d3ba5b, 0x6c3d8533, 0xbf6405d9, 0x5ab1256d, 0xfcb3ee32, 0xad339b49, 0x77eacab2,
+    0x6adbc1aa, 0xb5065d2c, 0xba91e34f, 0x405e19ae, 0xfb5e7f83, 0x32ba6641, 0xbb334081, 0x1f0bff9e,
+    0x4dca9ce6, 0x9f2a6eb6, 0x12ed145b, 0x7e65982a, 0xd627cb98, 0x42c7ff57, 0x1c3b4382, 0x72886278,
+    0x7c4473c2, 0xd498f751, 0x5e9ef958, 0x62b71802, 0x4339ace4, 0xd02fd1fa, 0x8d81e120, 0x39edf5ba,
+    0x9fc6650f, 0x6ba60a73, 0x115ea106, 0x609413c2, 0x6f22d3be, 0x6f1171ae, 0x7b27260e, 0xb284df2d,
+    0x33f76b2b, 0xf869e22f, 0x8bf1ef12, 0xd9acdbce, 0xf83dfc9d, 0x6cabfd3a, 0xb85e99e9, 0x3d0e8755,
+    0x5be8ea1a, 0x9bdddcf0, 0xe5a8a1e7, 0x66656c04, 0xd446fc1a, 0x991c19cb, 0x15c4cf73, 0x5d82158e,
+    0x285968f2, 0xd9961a7f, 0xb0cae6eb, 0x49fc4c2e, 0x84df95e1, 0x0a73a4de, 0xfa397f60, 0x0d25b211,
+    0x95b5f084, 0x19523875, 0x25df953c, 0xa5dae114, 0xeff5a651, 0x073e6d01, 0xc52ef453, 0xf7460fa2,
+    0xc586050f, 0xcdb2659d, 0x88851c50, 0xbac29833, 0xf4cb24d2, 0x45bb6a38, 0x7c837167, 0xbd0825b9,
+    0x0db86987, 0xd6dd2978, 0x12bdcfba, 0xd007fbdc, 0xc55e0f11, 0xc1bfd999, 0x76e5cf99, 0x7eae9b7b,
+    0xc8944c23, 0x087b7aad, 0xd0d5f9d6, 0x7a63ab6f, 0x8f9c4f75, 0x362b1341, 0xa8dda4c2, 0x0d40d63e,
+    0x548b84dd, 0x08c357ca, 0xe7627da4, 0x81fe557f, 0x87b607eb, 0x4140a031, 0xac92b024, 0x4d4c1638,
+    0x8814c41f, 0x732ff2d3, 0x9e600c78, 0x102591fa, 0xf6737ed7, 0x028953f9, 0x87b636ab, 0x7f94ef03,
+    0x97769d2f, 0x4d1e14a2, 0x56192ec9, 0x04f0b28d, 0xec7ff19d, 0x76da200a, 0xb42f25ae, 0x81d112da,
+    0x0cee257e, 0x968b27ed, 0x85250c71, 0x863e2cc3, 0xce012bb3, 0x60e58ae2, 0x8cbfeeeb, 0x5e076d01,
+    0xb66bd42d, 0x85a7b916, 0xa3867fa2, 0x29ab039a, 0xafa6e8fc, 0x955b64d0, 0x2b2b82ba, 0xb5619e94,
+    0xde3cab33, 0x92a6967a, 0x81c948e4, 0x2bcfb6c0, 0xc5379b10, 0x7f301851, 0x4815d571, 0xd9b23b01,
+    0x35caa678, 0x13d2a20f, 0xa1e33421, 0x2506ea10, 0xeec27898, 0x15388b5e, 0xa4815706, 0x32cdcc27,
+    0x4ecd7731, 0x89ee467b, 0x9e0cc832, 0xfc9c33ee, 0x67b6daea, 0x9d1b11ed, 0xbe0586a3, 0x0495f355,
+    0x2a081b08, 0xa1cf6e02, 0xe414803d, 0xe4715d93, 0x7c887c59, 0x76fb68b9, 0x837e53da, 0xdc4deca4,
+    0x298dbd02, 0x0e41619a, 0x251cf147, 0x19b8afc3, 0x265fac3f, 0x672c4091, 0x967531b8, 0xbd47d439,
+    0x7be55b3d, 0xa3a57470, 0x1ccb11ff, 0x585c278b, 0x23c671a3, 0x940d023a, 0x6e8933e3, 0x174429f4,
+    0x9c7f665d, 0xb6471445, 0x64adee60, 0x6b7b4889, 0xabb007a6, 0xb840b62d, 0x81f2447a, 0x152e142c,
+    0x78276382, 0x55987362, 0x3dde0258, 0x47041147, 0x89131212, 0x0fce46da, 0x7ff04fed, 0x0a7c2498,
+    0xc43ae4a2, 0x878a6ddf, 0x730e9a00, 0x3043cd22, 0xd8454157, 0xb437482b, 0x79c9f235, 0x1e91a7f5,
+    0x0767530d, 0x049d75d7, 0x1c1e3511, 0x2c485094, 0x45e595aa, 0xa2b1f206, 0x13eaf62c, 0x01b60101,
+    0xa9e9e797, 0xebe63abf, 0x22990115, 0x824ed513, 0xa22ac437, 0xe286a375, 0xaa1bcb8c, 0x4a257a53,
+    0x9b91ffc0, 0x4e3239f2, 0xead1850c, 0x12f14021, 0x4a506561, 0x7cde6687, 0x68a95972, 0xd948c446,
+    0x3debd904, 0x168dad7c, 0x66f63cd9, 0x0a84405c, 0x44455053, 0xc8875cd9, 0x7538e49f, 0x2f88b3ba,
+    0x4652b409, 0x135a0a4b, 0xb8c67e19, 0xc9ed362b, 0xb7399609, 0x472c5d74, 0xa943328e, 0xf88ebe8a,
+    0x2ebf599c, 0x0e07add1, 0x04f9702a, 0x1f0abfe5, 0x0ae4dd41, 0x94baddb1, 0xa1b3b303, 0xaf819512,
+    0xb83eca4e, 0x9f733bd2, 0x0468e440, 0x54dfb126, 0x62cac0a0, 0x6c9721ee, 0x1c88a18a, 0xdafe5308,
+    0xb553864c, 0x9e3e7ba9, 0x230720bd, 0x7e431fb4, 0xe8724410, 0xffb66b1f, 0xf5980a68, 0x41c3e351,
+    0xb8760635, 0x15074fa1, 0x71ef8e5d, 0x3a29ccf2, 0xd6ed24e9, 0xe130b464, 0x3de01db2, 0xedadc9c4,
+    0x57cdcdc8, 0x5aabf518, 0x06a0459e, 0x729e40ca, 0x413b40e0, 0xb7f8b3a3, 0xa57fa34e, 0xe36b155a,
+    0x9099c284, 0x131aad4c, 0x60722ce6, 0xe6c4a237, 0x089806e7, 0xc75dc415, 0x217be0d8, 0x52f136e7,
+    0x451adb7f, 0x99f62b99, 0xb4d486f1, 0x874001cb, 0xb1649b5b, 0x97f7a53c, 0x69f57468, 0xc10bdbe5,
+    0x12ca50ea, 0xe48b9344, 0xd4a767ea, 0x5b7d79ce, 0x994a5a0d, 0xada5fc4f, 0x389c5a09, 0x7e979185,
+    0x96e544f6, 0x74c6408f, 0xfe7dd799, 0x06d9a392, 0xe08d0193, 0x7706a6a1, 0x8fdd2cf5, 0x94a9a358,
+    0x87068ed8, 0x0458d035, 0xa90896db, 0x59cce5f2, 0x09d55615, 0x1cefcfb1, 0x3f58273f, 0x8b8b4643,
+    0x382b224e, 0x7b2afe02, 0xceafe850, 0x159305ed, 0x439098b8, 0x07941f87, 0xb886c855, 0x6982c2df,
+    0x9fa40732, 0x17b3d3ad, 0xd941daa7, 0xe341ae47, 0xa4b2008f, 0x34f2dfd5, 0xe5a8fbf8, 0x326040f0,
+    0xe44efc38, 0xb2b91277, 0x688f19ad, 0xe0bb1eac, 0xbd251d1c, 0x974e6a45, 0x57300df2, 0xc67fd27a,
+    0x281c83a1, 0xc4c583db, 0x91570713, 0x7ba83952, 0x986f98f8, 0xaeb5f02a, 0xf1614423, 0x83cae7bd,
+    0x2a4d9560, 0x1344b7e1, 0x11b1d7e2, 0xc0af36a4, 0xfd5362e1, 0x2592da31, 0x63963f96, 0xc8133ec4,
+    0x2f38ab22, 0xe3016104, 0x060e2080, 0xc1cd4dd4, 0xcfd742cd, 0x5dec6f3f, 0xda0990f1, 0x32e316fe,
+    0xc268bc0f, 0x12a40709, 0xe8f5f294, 0x4a0c0cf3, 0x4097e33f, 0xc8222bb8, 0xd2e89173, 0x43881be4,
+    0xd6f25084, 0xaba5b3f1, 0xd4b05198, 0xde0dfb70, 0x1114b755, 0x036f8a22, 0x9133badc, 0xd4e17dbf,
+    0x346b04ab, 0xfc541653, 0x92bb9314, 0x4bbb14ef, 0x1ef5f2d3, 0x29dc7d50, 0xe6166b4a, 0x2f9f0abb,
+    0x2fc2e5ce, 0xccabc2f6, 0x50b62b17, 0x992f04eb, 0xb4b69083, 0x35b483a1, 0x3bb49a2e, 0x6237f867,
+    0x9534eb9e, 0x425e0634, 0x83901cbf, 0x29cc65e6, 0xca0bfb0e, 0x8230577c, 0x587b1d63, 0x14ef3496,
+    0x2a090459, 0x595c7b76, 0xd9760eb3, 0x96700837, 0x25d66a34, 0x77535674, 0xae9bed69, 0x1f744d67,
+    0x22b59e99, 0x8feae066, 0xc8a173e5, 0x8e846566, 0x136fb5d4, 0x6f036799, 0x606ea3f6, 0x5b382948,
+    0x8b1044e2, 0x69c2b376, 0x3f0ed66e, 0xad3e8174, 0x6074c4cf, 0x00e575cc, 0x96873687, 0x36e21ff5,
+    0x2944287c, 0x77d0c765, 0x801bc8e9, 0x202a74e7, 0x09a7c3e1, 0xee305418, 0xb96b4a21, 0xae5ac92d,
+    0x350487db, 0x8f1153e3, 0xa1f8e624, 0x4fc9a0a4, 0xd69885e6, 0x90298e2e, 0xb82db745, 0x67ceae6a,
+    0x1c4f9d4a, 0xfa3556d7, 0x2d01b0be, 0xde2b86df, 0x250864cf, 0xc863845a, 0x1126be53, 0x9349d75a,
+    0xd9e3af24, 0x8aed1417, 0xcfdc0736, 0x114c2530, 0x79cdbd5c, 0x3bf3286f, 0x491b6272, 0x92b5d286,
+    0x4a33174d, 0x0841fac4, 0xc2bf871a, 0x22421990, 0x198216ab, 0x52ff0fde, 0xe9e258ce, 0xfefab2cc,
+    0xcfeab64d, 0xb68f4697, 0xcf81c3f0, 0x25c4505b, 0xb5fdf1f8, 0xea016fbf, 0x05d47371, 0xda8a5281,
+    0x9e81b7dc, 0x83dd8462, 0xb724ddb1, 0xab55baed, 0x35705cec, 0x19f9d3fe, 0x35ab3acb, 0x44d5211c,
+    0x90c932e0, 0x776ddb8e, 0x8406dc75, 0x1dff5024, 0x445ade94, 0x735adeb8, 0xf5889ca3, 0xf77c277f,
+    0x5cc0679f, 0x6cedc88e, 0x8be266fd, 0xbd3de925, 0xdc8295c9, 0x31aa459c, 0x0717297d, 0xbb05c351,
+    0x5dbcdfae, 0x03b36e8b, 0xc59fe872, 0x6eff7af4, 0xd8aece5d, 0x8f159abb, 0x3fa434e3, 0xf1e21c8e,
+    0xab3ec717, 0xcd9eb9d2, 0xc2a600e9, 0xc3aded23, 0x478e928f, 0x8d371e2c, 0xe1908e51, 0x58a78049,
+    0x27ad9a10, 0x934f7a19, 0x12361ccf, 0x93c8e348, 0x863add81, 0xa62903e4, 0xf15f5dd8, 0x8f740015,
+    0x200eb8e4, 0x4e189db8, 0x30f7f446, 0x33e14271, 0x953300d4, 0xaf1b167d, 0x0a8a1b9a, 0xc91847e8,
+    0x00000000,
+    0x2495fb7e, 0xe68dc57f, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000009903520314283042199192993792 */
+  { 0x00000000,
+    0xac53c043, 0x0a1f7b27, 0x0a6932c5, 0x5fed0433, 0xbc71525d, 0x544b673b, 0x324eaac3, 0x57104c53,
+    0xddeeb049, 0xeedfadf0, 0xc89acc8f, 0x5d666cc7, 0x4a160151, 0xce93dc54, 0xbd2020bc, 0x72d15c13,
+    0x1d4c2102, 0x2bd32495, 0x4b162056, 0x6cdef22b, 0x755d3a6d, 0xce027382, 0xcb5cd402, 0xd5fff817,
+    0xb45ed4fa, 0x33f6fa38, 0x8f2c9dd8, 0xb2ba20a8, 0xef69c683, 0xbe6005e0, 0x783e0c0f, 0x45b8085e,
+    0xe19a2cf4, 0x9e61cd9d, 0x68f13dcc, 0x66140ea6, 0xb2d19c76, 0x410f9666, 0x370232e4, 0x11a419ad,
+    0x069ac9ca, 0x2390d7ed, 0x15656ae5, 0x7b69decc, 0xded7ee6c, 0xec10894e, 0x202ffc78, 0xee076f7e,
+    0xbf771fb8, 0x95c2ea79, 0x3e7325c9, 0xc4124255, 0x9a92f9f5, 0x5790bdb6, 0x569d6cc5, 0x86ea0d66,
+    0xb8ddd9ec, 0xd81bcc35, 0x0cb39c43, 0x154e469f, 0x8afb7e0e, 0x43753a81, 0xc660f38e, 0x6f67cfbb,
+    0x42856bc0, 0xbd65ed15, 0x47c5fc55, 0xc9120fc7, 0x06cb25a1, 0x820256c1, 0x68d7f60d, 0x7cee9bfc,
+    0x8b943199, 0x58788d14, 0x2574d211, 0x0f7a015e, 0x5aa91a15, 0x6cfc5071, 0xfef8cc40, 0x67763258,
+    0x18bc5536, 0xbdf52c27, 0xb206cadb, 0x0baf293c, 0x03a41352, 0xea1fd51f, 0x1861e991, 0x9e963905,
+    0x034f71fe, 0xc32fd143, 0x8a502c7d, 0x851fa2e9, 0x90bd7e1b, 0x4fc0e814, 0x90009c8f, 0xe6ecfa38,
+    0x4d478c60, 0x4f3e3309, 0x33b29969, 0x033224a7, 0x25dca2d7, 0xfb2b908a, 0x6f1acab0, 0x57e59dfb,
+    0x20e74888, 0x355d4c9d, 0xb160b67a, 0xbc09a68e, 0xc7d1e820, 0xaf48cc9c, 0x083232d4, 0x7eb0d372,
+    0xbffc096f, 0x1e2fee8d, 0x44ac0c9b, 0x6006b3d7, 0x1d98bf03, 0xf02be3f2, 0xa1955957, 0x1f58fd24,
+    0x92c04135, 0x132bc99f, 0xca3eb9f5, 0x6fc4f73c, 0x757d327d, 0xe28b10ad, 0xbee3a574, 0xd35ff569,
+    0x46915075, 0xf4527e50, 0x4a089ee7, 0x1af54d0a, 0x33299628, 0xc1848e90, 0x3a21e21c, 0x51c8831a,
+    0x6b628d9f, 0x8b827a0f, 0x7f23d91a, 0x7845b031, 0x4d4c48e3, 0xcfe2f05f, 0xb437af82, 0x0f9a70af,
+    0x76f02b46, 0x6c3372eb, 0x25eb4bf2, 0xb04f1be1, 0x8cc54239, 0xeea69493, 0x26a8f293, 0x78076b68,
+    0x103e0260, 0x894ec44c, 0xc0928ab3, 0x5ffe4f07, 0xa505bd45, 0x111b497c, 0xa2ff246b, 0x32286cac,
+    0xb12ef3c2, 0xf69156fb, 0x62e722e9, 0x50f13012, 0x23c0adc5, 0x7e69955e, 0x2eea52b6, 0xf1171b1a,
+    0xdcb2b84b, 0x4017de60, 0xbd048edc, 0x796bae28, 0x76d15733, 0x8162967c, 0xb3997da9, 0x5b96587f,
+    0xf7cd5197, 0xee2a580b, 0x0d007726, 0xedcb765e, 0x358c5655, 0xc66c1b62, 0x0de39b1f, 0xa5828f48,
+    0xfc6a04d4, 0xff5e618f, 0x41b54963, 0x34c37bbc, 0xd0d6c6e2, 0x01dcfd3d, 0x349eefb8, 0x5cdcf9d0,
+    0x9542ba92, 0x99159715, 0x676f4810, 0xa9641704, 0x85faa7a0, 0x20c3fb70, 0x855d9129, 0xe7466a6c,
+    0x317389f3, 0x7dd707be, 0xc5b4e447, 0x61066fe6, 0xd5e9e0d8, 0x24c63458, 0xb4ea1819, 0xce1bc75e,
+    0x0a7d6d8b, 0x406a9d55, 0xe221b8bc, 0x8604ae6b, 0xa4f5ea8c, 0xc79108a5, 0xa67c5319, 0xd0f17819,
+    0x4f5dcef5, 0x6e9878d3, 0x14816d79, 0xf2bb0c7e, 0xa333acce, 0x02dd4d17, 0xe0f68ff2, 0x137f74dd,
+    0x3bf9ab4c, 0x1012b226, 0x89e9fb4a, 0xc14ce051, 0xb6d9f9a3, 0xa0fe3215, 0x6ddce6ee, 0x9ecc0e67,
+    0x73451023, 0xfe7fd729, 0xda74b1cc, 0x8fec6e04, 0xdb7f0ba3, 0xc37556d7, 0x25235691, 0x17f79d18,
+    0xc444b038, 0x4d30a219, 0x1d37a160, 0x589a5336, 0x79bd3b2b, 0x9319eaf1, 0xa1d2e605, 0xcc888365,
+    0xd30d9f65, 0xe9ddddfd, 0x97e4e151, 0x66a6a357, 0xd3f7c09c, 0x969fabe6, 0x5d5f355b, 0x7e830088,
+    0x5ecd48e3, 0x74159e84, 0xbb86fac1, 0x4dcc8dfd, 0xbfe1d7f2, 0x3c4b4186, 0xc19b8a51, 0xb2b4f612,
+    0xcd8eb50e, 0xa08212a1, 0xfcebd5d2, 0x1d93af61, 0x171f9831, 0x1b3829e2, 0xc01a26bf, 0x5a4c94ab,
+    0xd3c86cb8, 0xc58e2642, 0x5e0c922b, 0xd4b6f137, 0x7d56eb95, 0x0d3cba09, 0xec25083e, 0xb1c6f1de,
+    0x277aa684, 0xec89efa4, 0x93cc07ee, 0x3176603a, 0x1ce5dca0, 0xc0f6cde0, 0x0dd74144, 0xe3082cd2,
+    0xeca68116, 0x1b6584b1, 0x1ffbf127, 0x77a33e53, 0x20d576c9, 0x723c213c, 0x2dc9bc25, 0x557b91d9,
+    0x50bd524a, 0x1d1ebf08, 0xf3087a9b, 0xb0d35712, 0x880a31de, 0x7ecd59b4, 0x97b8dfd3, 0xd2331ae6,
+    0xf45895f4, 0x5bc0fd81, 0x872986ea, 0x891185e9, 0x93586701, 0x551c364a, 0xbfa1178e, 0x7a963002,
+    0xfe09b5a4, 0xbbd3ab6f, 0xd1d83143, 0xa2e3a224, 0x69b41d56, 0x5f589649, 0x60ebddcf, 0xce7c180b,
+    0xf0064fee, 0xfed94bb9, 0xfe386062, 0x59ff79b4, 0x05d5fa44, 0x2576072e, 0x56037ec2, 0xb1cc3228,
+    0x350b3a95, 0x96c9fc66, 0xfe1602ce, 0x36b86f13, 0x39e23423, 0x7d3204ec, 0xdf3a9b77, 0xf35b4fad,
+    0x12955e1f, 0x794570ae, 0xe09f0e7e, 0x6ed02430, 0x5f28a1ec, 0x90587a86, 0x6071a652, 0x5f2b72f8,
+    0xd842a07d, 0x4d4050a4, 0x58511f55, 0xb8c3aa8d, 0x541f787b, 0xcf9c4aa5, 0x77c1773d, 0x8f29628d,
+    0x6fb4b0da, 0xd9295862, 0x144cc50f, 0x6606a7df, 0x17a2d7d0, 0xe8e4064e, 0xa79eb1ee, 0xed528137,
+    0xb65e22c1, 0x57942195, 0xe015dea0, 0xbc7c0dfd, 0xd9935914, 0x7bdd2d9e, 0xf23fd63d, 0x2b6f58de,
+    0x4de2a2ed, 0x8e477692, 0xadf28629, 0xae62e2ca, 0x28f5ce4f, 0x1181f3ba, 0x2fa6300a, 0xa2b9de9f,
+    0x1dc58f50, 0xda434d87, 0xb1112e7d, 0x4b29c74f, 0x26e6b15f, 0x8b1eff50, 0x095763ad, 0xcc8d9e3b,
+    0xf94c37ed, 0x0b6d1a1b, 0xd0224a5f, 0x0c22b35a, 0xe6b68ea0, 0x0d382a37, 0x3b9d4017, 0xe8a7fac6,
+    0xef4d0c6f, 0xdda47d86, 0xac367f39, 0xa23e8f94, 0xa9497c80, 0x8f6e3ac3, 0xce9fbe92, 0xef35d085,
+    0x815df55c, 0xfbd46386, 0x088d8d4b, 0x62b06f5f, 0x721202fe, 0xf250fc4e, 0x36939de8, 0x251719fb,
+    0x4840e71b, 0x7abc1697, 0x38d96af9, 0x1a887b19, 0xddf7a500, 0xa3f0df39, 0xa242c004, 0x7fc16ae0,
+    0xe368a0ca, 0x6605349f, 0xf7836fdb, 0xd77e7eb9, 0x681ad482, 0xfba9e054, 0x7c9e8331, 0x74eb5275,
+    0x603582e9, 0x1e1df18a, 0xb6e42e01, 0x74a6faa8, 0xbaab697d, 0x0b461c86, 0x3f911bd8, 0x031f89da,
+    0x87ac191c, 0x5ff51001, 0x305746ed, 0xa0f2618c, 0xc07b47bc, 0x8c1b9ced, 0x1d95897f, 0xa29e07a3,
+    0x19b36bc4, 0x1c7a70c4, 0x4ecae914, 0xaeb80f76, 0xbc1a1604, 0x87192a21, 0x3b929cda, 0xc1464133,
+    0xa5349c4f, 0xf919c1c2, 0x08e30f0d, 0xf386bf11, 0x5e5448a8, 0xa302fd1e, 0xc7f88be9, 0x6c4a9967,
+    0x22f3f443, 0x247beb75, 0xa20354a9, 0xe10391f8, 0xaab77e43, 0x8d15ba99, 0x07d99b54, 0x7fcc2738,
+    0xdd6fb2f3, 0xa825bd4d, 0x1b65b964, 0xa51adc7b, 0x1387459f, 0xc8a7a01e, 0x79e770bf, 0x103c1ea4,
+    0x9f4b4511, 0xe30f07ee, 0x67922bf0, 0x9bea3ad7, 0xa96dd393, 0x1b61ebc8, 0xf57fd85e, 0x2ef1be95,
+    0xfa3f4a7d, 0xbe257048, 0xd8af5028, 0x700a50b7, 0x7e92ec37, 0xa992f052, 0x0ecde588, 0x9e9ee710,
+    0x3c039ed0, 0x89c7e561, 0x53c1cbe5, 0x7b1d2f6e, 0xc686e44a, 0x70eafefe, 0x134b2ced, 0x53d0ddaa,
+    0x421a5710, 0x15156eaf, 0x630652e8, 0xaed52528, 0x65aebc36, 0xb806cec1, 0xd97dc8c6, 0xdaf4583e,
+    0x2ca55703, 0xe0f5ed57, 0x8f6a65f0, 0x48faabf0, 0x3197f34b, 0x4b0e64b6, 0xc9b41b4e, 0x2d1319ab,
+    0x537a309f, 0x5821a636, 0x728f68f7, 0x755670e5, 0x5a17f140, 0xe245883e, 0x6351aaac, 0x49314268,
+    0x6ccd7fd6, 0xb3d5d784, 0xfc45efa9, 0xa1b37cc8, 0xecc1a82d, 0x599bf87d, 0x543e4e5a, 0xa90f2b00,
+    0x66a94747, 0x974095fd, 0x8593d75e, 0xb1a1ec44, 0xd85bd33b, 0xd8b55ecb, 0x59965d94, 0x776a36c5,
+    0xdb388eec, 0x98eedd5f, 0x1d0177f5, 0x81e658b9, 0x36fbbc56, 0xaea019a5, 0x7f85836c, 0xc2574f79,
+    0x237e0f46, 0x2ccb0372, 0xcc2c5104, 0x5095337c, 0xb02b2146, 0xf6a66c78, 0x870b5721, 0x6bc0de4b,
+    0xe6f8862e, 0xb0452e18, 0xe1792b6d, 0x5aad7313, 0xd961d962, 0x06da4f40, 0x8373b367, 0xfc7ab390,
+    0x1a50b382, 0x07856e83, 0xdc36a80d, 0xad5ecbbc, 0xaaa5ad4d, 0xe7bd1ca5, 0x527046f7, 0x0c304dfd,
+    0xa6501039, 0x780199b1, 0x6eaf67e3, 0x61e4e0e5, 0x84e1e0dd, 0xaa4c8149, 0x4fdb3045, 0x22c5512e,
+    0x9adf0b26, 0xa30aa3a6, 0x10cd7ee3, 0x390385f7, 0xd4b84223, 0xcdc23b96, 0x8c2d2910, 0xfb96f9c1,
+    0x245da4b4, 0xddafd03d, 0xb7022712, 0x8953fba8, 0xbdfa761e, 0x68533b0d, 0xe6c4e4f2, 0x3b8f98a5,
+    0x1cf57c53, 0x37af5b06, 0x8af7443b, 0x8176d5b3, 0x5ec3bf12, 0xa0f80685, 0x526c1e48, 0xef581bd4,
+    0xfeae6073, 0x7f6dae30, 0x9bccca8e, 0xad7ef7ec, 0x346f6683, 0xd9af14c8, 0xaf0b894e, 0xfdad41fd,
+    0x496b6445, 0xd33a52ef, 0x63e0f9f1, 0x0b0e2c02, 0x1000eace, 0xf2732829, 0xdb740f9e, 0x4ccc64f8,
+    0xaf6ecdc6, 0xbcf109ef, 0x6d851852, 0xa62b2e09, 0x5ba09591, 0xd9beceb5, 0xcf4c35ca, 0x71e5d3be,
+    0xa5f9673c, 0x0200022a, 0x6fd8e0a2, 0xe3af0b1f, 0x82aa6b56, 0x6cefb32f, 0x446b0b1f, 0x34d962f1,
+    0xd3f7df35, 0x26f11e2c, 0xd4367a0f, 0x3ff0e3c6, 0x7ab58bac, 0xd8bc6842, 0x89cb02e8, 0xda3dc647,
+    0x37a17621, 0x55d6dd8a, 0x214139be, 0xb5e271e0, 0xe146db38, 0x38617086, 0x53ad1ce3, 0x18ca3283,
+    0xcc3c6b1b, 0x74505e49, 0x29302e89, 0xb1608d80, 0xb10ff704, 0xe6bc5b6a, 0xc98577a0, 0x775e01ad,
+    0xeecba7a2, 0xed8cdc12, 0x77fde015, 0xd18a2788, 0x8f7e8b78, 0x064eac7d, 0x4912e1fa, 0x28df2605,
+    0xd5c3f22a, 0x29020b2b, 0x62ab067f, 0x35079a7d, 0xe5eb7ce6, 0xe273283c, 0xa25edf34, 0x116c7960,
+    0x0e5e92aa, 0x8e86b848, 0xd24c7c4a, 0xfb6f4ba0, 0x8150a494, 0xa855a6f7, 0xb2b4389a, 0xcfc13cf8,
+    0xced5e49b, 0x4b86f7f8, 0xa2a18f83, 0xdb27cf31, 0x7f1b77f6, 0xa0ca7bc6, 0xc3e53e1b, 0x6251f2d9,
+    0xc13da5ba, 0xa3797f65, 0x602a3bc6, 0xd00f4d48, 0x33db4572, 0x1b3cb6f1, 0xad1fc7ae, 0xe534c168,
+    0xf1e8ae94, 0xeb8894a2, 0xe24335f9, 0x10c19a18, 0xc5a6a86e, 0x6a564317, 0xdcbc35a7, 0x16ae638a,
+    0x0033cbe7, 0x6a4fcebb, 0x360ba7d9, 0x032fa754, 0x7d5a4d4c, 0xa7f17ef7, 0x01b3d240, 0x31e0abdc,
+    0xd15affe2, 0x2cc078ef, 0x9b72f6e8, 0x83b3e74e, 0xd34d62e1, 0x522f2dac, 0x5f005801, 0xc5b25367,
+    0x00e22156, 0xf52df5fd, 0xdf15b18f, 0x9d9558ed, 0x7a1277c6, 0xc365c2b3, 0xbd94f42e, 0x929468e4,
+    0xe7ee9d18, 0x0b7379f0, 0x3f82a1dd, 0x545fe2f5, 0x0db4936e, 0x071a28b8, 0xf41dce73, 0x9a56d8f0,
+    0x6b24b877, 0xecacc1bc, 0x1ce3d4b4, 0xb135711e, 0xe9d90166, 0xac01d76d, 0x8a62857b, 0x733fa6a0,
+    0xde0c199f, 0xa20ee39e, 0xab063634, 0xdcf2dfb3, 0x51860287, 0xcef24d78, 0x7fb4e811, 0x131e5d52,
+    0x6a931ebb, 0x98d7965e, 0xb24db0b4, 0xcfd0ca99, 0xeab96543, 0xd0dbbe3b, 0x2d20ee1b, 0xc7563f3c,
+    0x7649ebb4, 0xdd470d61, 0xa498b158, 0x251742b6, 0xe3338836, 0x0a3520ee, 0xd4660c34, 0x00a25079,
+    0x6e0fa628, 0xe9a8b9ff, 0x635aa10d, 0x7e9279ed, 0xee24c33c, 0xb14c34fa, 0x77c275c1, 0x939b8bef,
+    0xcaee41b5, 0xe397c28a, 0xd1598df9, 0x12d23894, 0xf12f1d0f, 0x9cf18fbc, 0x8498a9e9, 0xa1cd965b,
+    0xe76bfff0, 0x1ed05c57, 0xea40c18e, 0xed55160b, 0xfb22743b, 0xe4f63459, 0xb2c889e9, 0xd9617e2c,
+    0xddb7eefa, 0xa2970b3f, 0xa48676de, 0x507710d2, 0x98dfde78, 0xc1ae8015, 0x49b9c552, 0x806240c8,
+    0x6fbfffca, 0x72e59ba2, 0x7ac20a3b, 0x64a00030, 0xfc2aeb1a, 0x36276e84, 0xe0551a9e, 0xf51e4c6d,
+    0x05ca8770, 0x41b0be34, 0xeea9b2c8, 0xc2b6598a, 0xc55b7d62, 0x39f97928, 0xcb7178e1, 0xa1ae5b58,
+    0xd42b6a57, 0x9357ce40, 0xfc51ae01, 0x54d2f5f0, 0x5fd3e04b, 0xd7fe73a8, 0xaeb7d36f, 0x1949e2cc,
+    0xb9002ec3, 0x72a4ba1f, 0x5d6c7cac, 0x3cd746d6, 0xd0d01951, 0x70ec425e, 0x15e1b132, 0x79c8c3ef,
+    0xad6cbed0, 0x34c018e1, 0x80d877a2, 0x393ad8d1, 0x196ccc2a, 0x30ae4a37, 0x7b2c9144, 0x444d21d3,
+    0x31efc204, 0xb806b620, 0x4147bdc2, 0x5684298c, 0xcf8508fd, 0x0ea23576, 0x7cc08a40, 0xb0722090,
+    0x9127281b, 0xf9bfcfa9, 0xf7756392, 0x4611b58b, 0x72019e92, 0xc97840a1, 0xab4f398a, 0xd3803205,
+    0x5ea5cddc, 0x969382e3, 0x0bbee736, 0xcb81b003, 0xa3037fae, 0x870de706, 0xce92fe30, 0x0399be99,
+    0x22844ffb, 0x339ea85d, 0x5c3aefb1, 0x5d465887, 0x1cdc4c3f, 0xfa5a9d74, 0xd7cc19c9, 0x9a825c2a,
+    0x016560d0, 0xe69f2e18, 0x97801e6b, 0x8a91aac4, 0x7d3c2486, 0x5e308188, 0xd3b73267, 0x05fbbca5,
+    0x3219c07d, 0xf9285d5c, 0xda8865d4, 0x49858ba3, 0x9ca0686b, 0xc8d20aa9, 0x7e0d972f, 0xc2d96273,
+    0x1c53e7c7, 0xbcaa6d24, 0x690672c8, 0x4c4167c2, 0x886a254b, 0x8cb18e00, 0x5e6212f3, 0xb7799697,
+    0x248201aa, 0x65474c72, 0xeb7a3e3e, 0xe5b68dab, 0x6da97261, 0x4905f8a1, 0x47b12d8a, 0x167582ac,
+    0xec3bfba3, 0xccfb9bc6, 0xd535ccce, 0xf9481fc5, 0x3d9b04ef, 0xa99ac0e9, 0x37921017, 0x7dd51811,
+    0x8203d419, 0x9d85e615, 0xce930805, 0xbfd60f1d, 0xc92ee0e6, 0xb20092dc, 0x0d89c37b, 0xfd34cec3,
+    0x5e7efd73, 0x29e5c63c, 0x603d8779, 0xc5a8dd0d, 0xa962f166, 0xee7129e4, 0xba35ee55, 0x73da0022,
+    0x10cc0db4, 0xffc9275d, 0x0ae4d1e3, 0xad0f0f2a, 0xb0224ea0, 0xb61bddc3, 0x1078ca90, 0x214b1182,
+    0xf23d5b70, 0xb9f6340b, 0x279ecd37, 0x02ff90d4, 0x9db5efbf, 0x135a0088, 0x79a81065, 0x4cd9e959,
+    0xac7bbb59, 0xec9edf66, 0x90187f14, 0x4092b09b, 0xc0d164b2, 0x2ead21bf, 0x8298961c, 0x7ba6349f,
+    0x2ad79d9d, 0x3d70f273, 0x6ec97c57, 0xff2885e7, 0xbb45a044, 0x754ac383, 0xe453cf60, 0x9ec430b4,
+    0x479e382a, 0xdad8f6a1, 0xd18d8701, 0xa63f7019, 0x019b0522, 0xc8547905, 0x9ec2126e, 0x0159d4fc,
+    0x2073dc0c, 0xa5ed5117, 0x98267f2c, 0x7a6b02b4, 0x8e7baa28, 0x08b1f4db, 0x0011a10d, 0xa6f7e32a,
+    0xf58770ae, 0x6c410fd9, 0x0bfc7eb8, 0xbb0c4fe3, 0x6743a3bd, 0xb9b59efe, 0x119cc24f, 0x8291a6d8,
+    0xb974909a, 0xf073d230, 0x62ada99b, 0xf8212900, 0x700fd10d, 0xaf45cb44, 0x7d57f2e0, 0x29d01ffd,
+    0x301b0318, 0xf8d6c019, 0xa7ae38c4, 0x84bb38c7, 0xdef7d6cb, 0x7db9ee93, 0x15f77669, 0x8a5903d1,
+    0x25cf0ce3, 0x4b2f240a, 0xd4cb3e27, 0x5a962bb9, 0xd8459f3a, 0x9b80cf5c, 0x51e236e1, 0xe2e4859d,
+    0x00000000,
+    0x924afdbe, 0xf346e2bf, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000004951760157141521099596496896 */
+  { 0x00000000,
+    0x2cd36008, 0x6c4999a2, 0xe9bf223b, 0xbc6f7ac6, 0x93047bb7, 0x2d7850aa, 0x01983ab9, 0x22aefed7,
+    0x2438a824, 0x54a5cc1e, 0x067722b6, 0xe74c89f4, 0x19750e11, 0x394e3af4, 0x0e2bbcdc, 0xce2236a9,
+    0xba3c214f, 0x1cf669da, 0x2a17de31, 0x6a5ca031, 0x81007d9c, 0x405bc041, 0xcc2d99c5, 0xddc2780c,
+    0x89eaa6e4, 0x296f166f, 0xc5b93b2e, 0x790c2b52, 0xd6d034fe, 0x55a15adf, 0x770c1014, 0xff9fd40a,
+    0x91652990, 0x71a14cc6, 0x678cf224, 0x4a8bc573, 0xc0e9e405, 0x450a0910, 0xca8b67fe, 0x695c1f49,
+    0x6d58ccc1, 0x2adf2d84, 0xedf5817e, 0x534057fd, 0x6bca3331, 0xb7696c8b, 0x53dbdbfc, 0x610a2d7d,
+    0xc71d82b4, 0x1e5d3d9b, 0x03aa6d7a, 0xe08f4632, 0xd7b3a4f8, 0x16793967, 0xbf6828d1, 0xda810d91,
+    0x459047e0, 0xaf72ad51, 0xef6abca5, 0x08038c7e, 0x12c61002, 0xe381fb5b, 0xa468e737, 0xd85233b0,
+    0x980231fb, 0x31526571, 0xa4c8a5e1, 0xcb0ab1ff, 0xc4be4b51, 0xe9cbd474, 0x51e9712f, 0xfce19303,
+    0xc9355ee7, 0xf7241b94, 0x8d1a7537, 0xb38b5637, 0xcda9c355, 0xc5a39182, 0x21bb1a63, 0xc1d29e0d,
+    0xd7dddc47, 0xa7a2d702, 0xa727cc49, 0x3b77165e, 0xa98036f6, 0x3ef4fcf9, 0xe0e1497a, 0x39a27607,
+    0xbc42fabc, 0xf29bb18f, 0x259cbcfb, 0xf5f8b2cb, 0xa51d95e5, 0x39162ed9, 0xdc60259c, 0x0ea010e8,
+    0x2a7f2281, 0x1362873e, 0xf5e25a0a, 0x60afdead, 0x3aff9495, 0xf30cc8e7, 0xbee11c41, 0x33d50d98,
+    0xb5e59285, 0x3a4a9907, 0x6d8c7fcb, 0xe9c12d12, 0xf8f28d30, 0xcfe65d38, 0x742c8f0f, 0x2e0cb9a8,
+    0x214e1d22, 0x77cf5f38, 0x009068f9, 0x9881db43, 0x7d9e9856, 0x3d097b11, 0x826b883a, 0x83b88555,
+    0x8a64314c, 0xa06beb0d, 0xed88a3c4, 0xc04396d7, 0x8d1a67b5, 0x206fe279, 0x29c32b20, 0xcfbfcf8e,
+    0xe9e60542, 0xd1d89ba3, 0x150eec67, 0xffbe9391, 0x4aadcfdf, 0xe6b52078, 0x71981ee2, 0xb7b75796,
+    0x2d18f7ce, 0x3d899c88, 0xbcf66ff1, 0xf3ec9f65, 0x686b0949, 0x8e6ed1a4, 0x3a5f0358, 0xc37e7634,
+    0xd6d54897, 0x9da5764e, 0xd8516670, 0xc3377a2b, 0x1a5d19b5, 0xeea6626d, 0x5c5bb5ad, 0xa494984f,
+    0x7845b0f7, 0x855ed5cc, 0x99e5da4c, 0x89232b4e, 0x5de422e7, 0x9e1eb25a, 0x39af9f07, 0x3667ed62,
+    0xd4216bbe, 0xc36df218, 0xa9cb643e, 0x9949770b, 0x81abd264, 0x2f32a9d8, 0x35412fcb, 0x8a9c56a8,
+    0x597b7320, 0x02de4a6a, 0x87421126, 0x369dc6aa, 0xfb90f816, 0x98673a0f, 0xf5c0f6db, 0x81f8b31b,
+    0x5d4096a0, 0x5b1662d1, 0x481b2bc9, 0x565d941f, 0xb12c1f6c, 0x68661418, 0x92dacbc3, 0x93dbcf15,
+    0x564f0fe3, 0x79730bc9, 0xaa88ea2b, 0xdb8288fb, 0xdad78b07, 0x1e1926a6, 0xfe393c00, 0xdeeea244,
+    0xbcb255aa, 0x09e26eb0, 0xa46c107e, 0x5b45c73c, 0x5a40501c, 0x2c0743ff, 0xc7a14203, 0x729417eb,
+    0x5a296a75, 0x5adfd809, 0x49dd5ee9, 0xc5099b07, 0x8ff2765a, 0x14250248, 0x498a2d3a, 0x6bfc5b25,
+    0xfa7e0627, 0x8f410aa9, 0x8b9ad42e, 0x2c748d18, 0x0274fca1, 0x3c052dbe, 0x837b1e56, 0x664910e2,
+    0xb21999f5, 0xdc93e5f7, 0x3176ec72, 0x38ffdae1, 0xfbef099f, 0x03199c2f, 0xa2714bb9, 0x343d17b6,
+    0x2b3966ea, 0x44f331e1, 0x1751b0af, 0xc8ab0df4, 0x7d7d9e20, 0x1a4d9c9d, 0x397ab7a8, 0x974b0f4a,
+    0x3a158dbb, 0x8046d86c, 0x89c765fe, 0x1c331b74, 0x026f8059, 0x1eb718b9, 0x5ddb0a8c, 0xf05a6833,
+    0x45d8a3d6, 0x74f59083, 0xb0a8a1b5, 0xd680448b, 0x99918f1a, 0x4793879d, 0xac6b7b7a, 0xa0f67712,
+    0xfd31d6fb, 0xcae29631, 0xd6bd7385, 0x854c0f4c, 0xb50eb110, 0xba1417c1, 0x1dff628d, 0x748aa4d9,
+    0x8951e480, 0x082b84e8, 0xfa9c5cf4, 0x57d5fb11, 0xec122245, 0x5661caeb, 0x74d987b3, 0x5d9776fe,
+    0xd5e2493e, 0xd5b6c395, 0x0ba319d2, 0xd899b0c0, 0xbd49b5d9, 0x34611a66, 0x1f0d37a0, 0xaa4cce13,
+    0xa29a4485, 0xcbce3686, 0xc78040a2, 0x8dd112ab, 0x17c59edb, 0x98c8dff6, 0x6d11ad15, 0x5497f10f,
+    0x53582972, 0x0cf64a43, 0x9b410915, 0x69c41465, 0xaa518e34, 0xa1f2bed2, 0xcbd91a00, 0xab956827,
+    0xbc077496, 0xe4deda16, 0x352bc688, 0x92735378, 0xf4eb9e2c, 0xcfb6a5ec, 0x42403998, 0xde0c91dc,
+    0x4d4926f2, 0x793a9157, 0x17954a9f, 0x0295dea0, 0x04e513a4, 0xa7c7daa1, 0xf66817aa, 0x536ea9c8,
+    0x408097e7, 0x1dbe6f5c, 0xde6e72f3, 0xfc3e266c, 0x808db0da, 0xb501aa26, 0x516448af, 0xb927446b,
+    0xd5879eac, 0xab156b5a, 0xa7e9d6aa, 0x3b7bee23, 0x2db3e52c, 0xec960a60, 0xb2456d9f, 0xa9cd91d5,
+    0x2e8fdeef, 0x16822a54, 0x94927e71, 0xdb85472b, 0xe28acb31, 0x4d877882, 0x13cfa478, 0x8c001cae,
+    0x548867ff, 0xcae96b02, 0x1728844f, 0xe53b7e2f, 0x7ec815dc, 0x64ba6131, 0xb1742c40, 0xb8313da1,
+    0x604de3fb, 0x0b3b51dc, 0xd0abdd40, 0x27e082f8, 0xf6af4dcf, 0x997dd4d1, 0x94d40e3f, 0x52351fcc,
+    0x428e2e51, 0x822a5e7e, 0xa52f6b81, 0x5247ddc7, 0xf8fda243, 0xd4bd69f0, 0xd9d73456, 0x02c0d14a,
+    0xf9c45b10, 0x6b2bc90d, 0x822614e5, 0x3e877f73, 0xe3734b6c, 0xf88472f2, 0x692dcfa2, 0x2abeea9b,
+    0x5988f99f, 0xf8fa9171, 0xc8fe324a, 0x329724ef, 0x23cf3757, 0x996dae49, 0x0d3af5a5, 0x1c821b0b,
+    0x7770de2f, 0x5b58bd20, 0x31a688c6, 0xd4a98091, 0x587341d6, 0x57077629, 0x81fef557, 0xee50a37f,
+    0xe15ab261, 0xc5d94e99, 0xb10d4891, 0xa80efc95, 0x25147d3d, 0x43964960, 0xbcc6b478, 0xe45fc628,
+    0x02abddd3, 0x1add9b1a, 0x6b08ed6d, 0x042ca498, 0xffac70d0, 0xe588e1e0, 0x2505650f, 0x066a791b,
+    0x6daac17e, 0x0f443459, 0x91c4efaf, 0x22296646, 0xfc8c6831, 0x1a794085, 0xe009cd12, 0x8ae59566,
+    0xacd3aa98, 0x8b66c713, 0x1e804128, 0xd5d58487, 0x0008d5e7, 0x537df8a9, 0xfe08e9cd, 0xd78321a8,
+    0x15b79cb7, 0xb51f70af, 0x43e9f751, 0x6e91ee4a, 0x17cb2f20, 0x7dfa9eae, 0x7d9d3674, 0x65bcf496,
+    0x1590ad55, 0x014823e4, 0xbc56ffe0, 0xeba93090, 0xd580c470, 0x250edd4f, 0xfb4b6a3e, 0x5b0d95ce,
+    0x91fdcb71, 0x80c1855f, 0x974d8292, 0xdeb10006, 0x54a6a2a5, 0xafef8c1f, 0xd22cd477, 0x1a30630f,
+    0x3f724ea2, 0xac338982, 0x6a9a3363, 0x60a1d06e, 0xbba986a2, 0x9cf00aa5, 0x76b59132, 0x09a413bf,
+    0xc91dc004, 0x157b6df4, 0x1f42e5be, 0xa08e7aab, 0xd97616b7, 0xb3527323, 0x41c6c77c, 0x9e46b0d7,
+    0x1d6a0999, 0xfd14a13c, 0xae1b6816, 0x1d057884, 0xaf2fb3cb, 0xa207deef, 0x9ca8ffe2, 0x6d096cdf,
+    0x2e5ec824, 0xf01ffb33, 0x9ca3e05e, 0xf6e16564, 0x884c1f45, 0xed958bab, 0x069aa0c7, 0x5c891386,
+    0x0b08f6c8, 0xf1d1b44b, 0x1527eac1, 0x35e9b159, 0xef7ff801, 0x09552d5c, 0xa0889bbf, 0xad614028,
+    0x8c18f470, 0xc230585c, 0x65a67516, 0x72b97a25, 0xfbd274eb, 0x192de115, 0xc843989d, 0x2b731db9,
+    0x6b8774d2, 0x874d187e, 0x4d241635, 0xfcbafc73, 0x959c748a, 0xd92294f4, 0xbd1c5076, 0x51159582,
+    0x5c4a8216, 0x8f11aed7, 0x2eca26d5, 0x68036408, 0xd8e706cc, 0x7231dcd0, 0xb5f8c46c, 0xc13711eb,
+    0x43f603f4, 0x023296e4, 0xefe7b058, 0x8306a784, 0x76a13da9, 0xbc8b404a, 0xf7c27854, 0xcb65fbca,
+    0x185b7d8a, 0x767d028f, 0x2f4226ff, 0x16eee91d, 0xb798476c, 0x3387d091, 0x06e07d5a, 0x6e60ee69,
+    0xab1e8a97, 0xd83bd758, 0x40ef32b4, 0xf8ffdf43, 0x4be5fa43, 0xc10c649c, 0x1ef9308e, 0xd60d954a,
+    0x9995cffa, 0x6e81481b, 0xaf2020a4, 0x48995863, 0x16c341fc, 0x4be9f78e, 0xfa627706, 0x19e669ef,
+    0x2dc7dc4a, 0x4eeefcbc, 0x046b7b51, 0xaf40c54a, 0x55dfefdb, 0x363be375, 0xf5426976, 0xe55de7d0,
+    0x6b25c2ee, 0xebf9d807, 0x3eaa239d, 0x9be80d75, 0xc10c547a, 0x7d63a05e, 0xc38e6511, 0x9fcfca6b,
+    0xce0dcbfa, 0x3ce46c31, 0x20322042, 0xf464f8cb, 0x256c3e26, 0xca7f296e, 0x7b06d8e9, 0x0623ca61,
+    0x1a59b8bc, 0x4dd2f4ec, 0x4d60fcc7, 0x96d07e9d, 0xa167a5e9, 0x3dce78e8, 0x18641d57, 0x3c5d75e8,
+    0xe22bc25a, 0x614b7141, 0xf6a1c768, 0x6d070a0c, 0x6c65e631, 0xd71428ee, 0x845f0173, 0x56212ec1,
+    0x30b1a584, 0x4349999d, 0x7c3d09ab, 0x13d1ed51, 0x2bc42edc, 0xf858a0ac, 0xf7b79626, 0xd67cfbd4,
+    0x05e07988, 0x98ae25a3, 0x6caa0125, 0xbb2e1382, 0xda87df94, 0xbdc866cc, 0x2d0de0bb, 0x16a27009,
+    0x4f31652d, 0x7f1e5d4a, 0xa10e4b50, 0x62d238b4, 0x298d8d1f, 0x6d761708, 0x461487e4, 0xdf4715c1,
+    0xa4065dad, 0x808e3a49, 0xe224d3ba, 0x8eb59094, 0x1b7d1df3, 0x67c07ded, 0xa6dad324, 0x801c2798,
+    0x9181dde4, 0x92efa59c, 0xc402edd1, 0x8913453f, 0x984f577a, 0x606a8723, 0xc5f3782d, 0x51f5d7e6,
+    0xaa1efdcd, 0x7776a926, 0x96eadb75, 0x387b62f3, 0xc5b40425, 0x8bdf423a, 0x82b87ee6, 0xda6891ce,
+    0xf6150f96, 0xbb27b4de, 0x01e95f64, 0xa72376ce, 0x36b905f9, 0x3af62acf, 0x4d86d340, 0x5abe41af,
+    0xbfbb1b01, 0x81878be7, 0x77c4bc5a, 0xe99aa944, 0xe45f2265, 0x09a00a35, 0x83097421, 0x9d730528,
+    0xbc5e275e, 0x4e08c1d4, 0x9c79af89, 0x74690050, 0x54a7e9f1, 0xbc155599, 0xcdedc1db, 0xb626cdfd,
+    0x8f5d4d79, 0x9074e4a1, 0x18936e29, 0x85e4a5e7, 0x1c5f9ff9, 0x8c24b1e0, 0x81063d2e, 0x6f4dce3f,
+    0x6262d71f, 0xf697730c, 0x94924358, 0x78867241, 0xa84d3264, 0x8075c202, 0x22978aa3, 0xaa52c659,
+    0xb55d45d1, 0x24b71aa2, 0x8d5e41b4, 0xc195aa71, 0x35f30d2f, 0x1892ecfe, 0xc474b36f, 0x6a15c655,
+    0xfc406fa1, 0xb7e2423d, 0x20b3b0cf, 0xe61b60f2, 0x2fcd5122, 0x1a022a74, 0x85a2e2da, 0x7fc4bc02,
+    0x1a6df88f, 0xf485dbf6, 0x0f9406bd, 0xb9a45889, 0x7b889e93, 0xa347a224, 0xec92d7c2, 0xd006d50b,
+    0x4e74e56b, 0xa19701af, 0x9467aa1b, 0x86d5f653, 0x0601bf15, 0x23e33d46, 0x83644550, 0xb22ee81b,
+    0x11bb8cf4, 0x8b304359, 0x9958ce31, 0x2e63a27a, 0x3979969f, 0x4b79d797, 0x87eedb71, 0xfb964625,
+    0xf1a720f1, 0x56f9937b, 0x6442f486, 0x4e1b0179, 0x6b694428, 0xe2b7d7ff, 0xa6c88b09, 0xe6e41deb,
+    0xef3372d9, 0xb86e389d, 0xff8c73fd, 0x526d1ad2, 0x7e3b1ddd, 0x5723d212, 0x675af939, 0xd13f84e4,
+    0xdb74d91d, 0x709cf1aa, 0x0c53bede, 0xe25880ae, 0xc3c0e550, 0xb58f43d9, 0x6e0f3918, 0x85f9292c,
+    0x6a16e4d0, 0x345d39c6, 0xc53b2c4f, 0xee16c423, 0x881c6461, 0xe6dc7003, 0xfdebdd03, 0x8cbdd1f5,
+    0xa705ef6b, 0x061350dd, 0x31770c39, 0xdc8b08c2, 0x98f4edc7, 0x37daf75b, 0x1655832f, 0xc75347f9,
+    0x57cfd764, 0x6d093eec, 0xa64cb1bd, 0x2aa0ec7f, 0xd740b4d8, 0x70b3beb9, 0x24181330, 0x68636209,
+    0x3a020f1e, 0x1fe1ddf6, 0x4dbfa8cf, 0xcd77076b, 0xa4ce06da, 0xfdc9f2c2, 0xa519f2c7, 0x0c67855e,
+    0x3836a027, 0x99a1804d, 0x7025906b, 0x86aa6580, 0xf59ab5d2, 0xc2a884e6, 0x724adb46, 0xd3c6894e,
+    0x280db652, 0x7c0d588b, 0x5fda856b, 0x0b645b5f, 0x68a6c82c, 0x0345817d, 0xf8b464bc, 0x7a545f12,
+    0xb26e5b8c, 0x29b21963, 0x104eb451, 0xf6e06f8f, 0xc112636e, 0xf026c328, 0xcdb125b3, 0x3e9d076b,
+    0xa96e95c4, 0x68af919d, 0x29b6e3a3, 0x01b1086e, 0x757c79bb, 0xc976f08d, 0x04541766, 0x8df0a244,
+    0x5eb33da9, 0xda350e09, 0xd53a4136, 0xefc83d15, 0xbbed4d75, 0x21b9d44f, 0x700951f0, 0xc95524ca,
+    0x51acc08e, 0x3e6912cf, 0x24b48df7, 0xf1220059, 0x02ae8fae, 0x861f2be9, 0xcd4c0965, 0xf9fc508d,
+    0x9b91b25a, 0xeae501b5, 0x6082d2b0, 0x303fbd64, 0xd7fed8e1, 0x3e8cbbe0, 0xe3b7b47f, 0xc710b410,
+    0xbea608be, 0x3381e650, 0x9708cd69, 0x548d7f96, 0x3b0bacd1, 0xeeed8e26, 0x936638cf, 0x58b00737,
+    0x423a201c, 0x5cb0e3da, 0x814eef40, 0xff85a2ac, 0xc6407789, 0xdf0c88a1, 0xbbf13a9d, 0xcb69c899,
+    0x22ebd9b0, 0x73e77548, 0xdcd451bc, 0x044d04e9, 0x3769be99, 0xac61f306, 0xd28423c8, 0xdf825eb5,
+    0xd0dcbed2, 0x4adf5a73, 0x5c4618bf, 0x7ae865a5, 0xc2710d14, 0x96b578f7, 0xd2ab958f, 0xd96bcc95,
+    0x4233a089, 0x1e165e60, 0xaae43eea, 0xb9022e7d, 0x38b2c5bd, 0xf52316c4, 0x7345c024, 0x84ce98e5,
+    0x79673dc2, 0x68961ebe, 0x382dd9e4, 0x2053872e, 0x5a8066a4, 0xc969fec3, 0x7f0d1db9, 0x2fbc5989,
+    0x0d8bc151, 0x72d3b426, 0xb49216a5, 0x9a6774da, 0x712bf992, 0xec77e4de, 0x79f95b53, 0x5f1156c6,
+    0x7e69d8ce, 0x70d1ff3a, 0xe1c40626, 0x01d35681, 0xe189581a, 0xbaa9dfa6, 0xef1fde63, 0xba5c0205,
+    0x352bddad, 0xb89d837c, 0x5dea4102, 0x698d51ce, 0x9db6709e, 0xcf78cec0, 0x90ee775b, 0x8693fc4a,
+    0x9226eab6, 0x6ff706b5, 0xcd2ad525, 0xc3a032ce, 0xfc733837, 0x4bf11bb1, 0xbd53787f, 0x40042827,
+    0x34e297d7, 0x06f1bbae, 0x87b1f396, 0x5584ee82, 0x26cb87e8, 0xf81e714f, 0x3533e003, 0x8d510b95,
+    0x3a898f77, 0x967245df, 0xb965eaf8, 0x768c0406, 0x62c8520d, 0xe9e3aa82, 0x3bc70fee, 0xabca453f,
+    0xc3864211, 0x94b0b286, 0x68e26f0b, 0x6c833b3a, 0xbbaea434, 0x3ca87305, 0x74d69036, 0x15d0e0b5,
+    0xfaa5d718, 0x3ac4a776, 0xbd797648, 0x0071a195, 0x44b08fda, 0x5c1c48b6, 0x93ece8ac, 0xbd4995e1,
+    0x9cc183c2, 0xa52c5468, 0xaf5d17a2, 0xc817c77c, 0x78181669, 0x11982f25, 0x1b9458a8, 0xe52c3a56,
+    0x99e53e4b, 0xb03e370c, 0x5bf1b18c, 0xe3f5c640, 0xe67ff63f, 0x4409e0ad, 0x3d6757fb, 0x7c11cb87,
+    0xbe2fe208, 0x925f0d1b, 0xc7d1a80f, 0x2add54c8, 0x30503b81, 0x79bdf77d, 0x849fdcb2, 0x5f736162,
+    0xe6f28cff, 0x01f4dd55, 0x2649ca0e, 0x7f5d9a07, 0x4958f594, 0x80b31699, 0x90d0e564, 0xa0ae3a2c,
+    0x88793085, 0x064ccdc5, 0x47e3fde3, 0x0352d2d3, 0xb3549565, 0x594ea621, 0x298faef2, 0xef6b77d8,
+    0xc638deeb, 0x234ff045, 0xe720911c, 0x1e06b061, 0x6ec4f946, 0x0f23ac34, 0x6dd7ac8b, 0x812782aa,
+    0x7c26925f, 0x61df011a, 0x0463d7bf, 0xa8c8f8c0, 0xaa3aa780, 0x770a2061, 0xbdfac665, 0x2ef1c277,
+    0x40b79b11, 0xa710ca5f, 0x0e1338df, 0xffbb28e7, 0x35ecd40c, 0x68a8c290, 0x91dfe25a, 0x215b9ddf,
+    0x45a57443, 0x32a6162d, 0xc68dc43a, 0x60dc8b2c, 0x78ac5ef1, 0x7d9211be, 0x17e062c0, 0xe9fb52f1,
+    0x7c2b1d22, 0x09fad06b, 0x9c07622d, 0xeccb13c8, 0xca4c0584, 0x8e090265, 0x50f3bbf2, 0x304db56a,
+    0x5219a142, 0x6e27d353, 0xf4549b90, 0x1322b153, 0x53f2358e, 0x8466cba5, 0xc9e90127, 0xf101dedb,
+    0x00000000,
+    0xc9257ede, 0x79a3715f, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000002475880078570760549798248448 */
+  { 0x00000000,
+    0x194b7f9a, 0xb7320007, 0x01d0d276, 0x1d85b51e, 0x3a4f2e2c, 0x8607a694, 0x9cfcf239, 0xa0225395,
+    0xce27132d, 0xad5c098f, 0xe624bb97, 0x103041a9, 0x1fe50603, 0xb117353f, 0xcf88c1ff, 0x02822b15,
+    0xe40838c7, 0x929ee3c4, 0x99b5a70a, 0x6179b322, 0x99e213ae, 0x92617f59, 0x12a40e46, 0x0fdbe093,
+    0x89ca1e64, 0x4d0bcf61, 0x6b6e40c3, 0x9518e383, 0x69b40ff9, 0x4f764658, 0x944b1653, 0x81dc25f2,
+    0x223a6dda, 0x2e7936fb, 0x795ee5f0, 0xc2256c98, 0x8a4490db, 0xdf1f87cb, 0x3c57394d, 0x091db636,
+    0x711fa354, 0xbfcc3f38, 0x899878fc, 0xcd844df1, 0xa199e3a9, 0x2f01d691, 0x38c84b93, 0x2b21e932,
+    0x73ce834c, 0xbefc0e67, 0xd5d3190c, 0xafe9ce75, 0x7bf10b2f, 0x3d35026a, 0x97cb360f, 0x0a8c441e,
+    0x7f99aa91, 0x3de4a07d, 0xa730dbb8, 0xd77a9ab2, 0x583a156e, 0xf3cc7b6e, 0xa0cce7a2, 0xc9a067ad,
+    0xa36506b5, 0x744b84bb, 0xf01e6228, 0xa3b61da6, 0x9b13bcfe, 0xd4e3f3e5, 0xc18f46b7, 0x115acd19,
+    0xe1a79700, 0x314769ae, 0x31879b77, 0x49b8d261, 0xccd7c2db, 0x5e2eece3, 0xaa516bd0, 0xe26b33af,
+    0x505a6cf9, 0xce4a1fbf, 0x4ab13529, 0xde4f07bd, 0x33a8ca3a, 0x8455a116, 0xc068519b, 0x6aabf862,
+    0x41f048a8, 0x246014d4, 0xc92a985e, 0xb6847661, 0x668d9180, 0xc6d852a0, 0x83811837, 0xc8bd1596,
+    0x6913bbe2, 0x3aceec94, 0x453eb48f, 0x16393723, 0x71422bea, 0x8da945cb, 0x04abd59d, 0xb5f940f4,
+    0x4ae01bc9, 0xa5c09a49, 0xb0653a1e, 0xef3179e0, 0x35815d37, 0x3b78b594, 0x5603508a, 0x1c5a9c53,
+    0x0bd5f919, 0x831c9a97, 0x73baafe0, 0xc3a47c2c, 0x48b82a2f, 0x5474834c, 0xe8bbab65, 0x475701f3,
+    0xc341d3c5, 0xb8645401, 0xde068883, 0xa2fa5c88, 0xeb808d41, 0x4e8668f0, 0xae5547cd, 0x62af4d9d,
+    0xef2a48f1, 0x6c2b89a1, 0x68e14d2c, 0x2344d222, 0x7d91d13d, 0xf3b97195, 0xa9f73fb4, 0x6a570da2,
+    0xaa8eecc9, 0x0e090eac, 0x7d65d1e7, 0x4b642220, 0x46416652, 0xe3d6a02e, 0x874290d8, 0x961cb2da,
+    0xf551bc0e, 0x05aacacf, 0x23ec1bb3, 0x9349b239, 0x192c93e0, 0x6d1cfb4a, 0x2b2cbab5, 0x15914ed2,
+    0x136944b5, 0x0940a8ba, 0x2ef3bee8, 0x9a5532d8, 0x3a6432f8, 0xd30c1060, 0xa5f1e9b1, 0x5c94c7f3,
+    0x98d5df07, 0xc6b58c63, 0x783ff415, 0x00120fbd, 0xda2f630f, 0xd711d221, 0x332f53d4, 0xcfaecd66,
+    0x44e3c338, 0xbcd4ce4d, 0xa6229568, 0xba3aa724, 0x73e7f590, 0xfcd6ce42, 0x8cecff62, 0x1997664c,
+    0xb7f011b6, 0xe6e40b0b, 0xa01b8228, 0x4613ba24, 0xe696d52f, 0x29efa9ca, 0x81e97117, 0x3d74d1d6,
+    0x9b51e297, 0xbdb00d0a, 0xe6c294b9, 0x33a18e19, 0xdcfebb11, 0x96eedab2, 0x9ae46104, 0xaaaa43c1,
+    0x0704497c, 0xc6f81c7c, 0xf2d80c64, 0x179f89e1, 0x1b301ce8, 0xa9c0b9e1, 0x84f0ddcb, 0x81710cb0,
+    0xbe629740, 0x4e6a784f, 0x4fd19f00, 0xa31d2bd4, 0x781d7ffd, 0x4ee87d40, 0x4660237f, 0xef955f8c,
+    0x4fabe653, 0xfbbe7db8, 0xdf30923a, 0xdcd6647b, 0x6fd90646, 0xdf97c133, 0x117adb87, 0x468de230,
+    0x4d49a68a, 0x939d0a01, 0x74c21a6e, 0x4fd7bf09, 0x0e8d2aa7, 0x2bf4f3a6, 0x1e82412f, 0xafab4837,
+    0x36d33158, 0x91c8c348, 0xcdfe17ae, 0xeb90c6a9, 0x2b8ccd6c, 0xaf63f544, 0x66a52fff, 0x068d995c,
+    0x60f83089, 0x2e03bb6f, 0x5fcef241, 0xc516969e, 0x9be07203, 0xc68d20dd, 0x59a083b3, 0xedb1a388,
+    0x5ea1accd, 0x219e32ac, 0x7ab04a7e, 0xb4095cbd, 0x422bd134, 0xb273a18a, 0xa426b343, 0xe5b52367,
+    0xba9cb5a4, 0xa695ec0a, 0x6ae748d0, 0x848cc4ec, 0x08b2891a, 0x3f7151e1, 0xce7de5f0, 0x58834ef9,
+    0xa6faac18, 0x8270edc4, 0x6f0e2605, 0x1e7b5c31, 0x8ea1bdc7, 0x197f3830, 0xa6a1fb48, 0xfa30a1bb,
+    0x1dcf06df, 0x76e1a30a, 0x9d543905, 0x2dca5e86, 0xe2d635b2, 0x6c12014b, 0x76f8a2fc, 0xbb059fec,
+    0x26ffcbf0, 0xd44e529f, 0x7fa50d6c, 0x4a51cc29, 0x67a197c3, 0x6b79246a, 0x25011c2f, 0x73e56ab0,
+    0x00202094, 0x77ba1189, 0x91d0e310, 0xc818c35a, 0x53ee70fd, 0xa078cbe4, 0x82c0010d, 0x7b0072ce,
+    0x3298d4ed, 0xd5803476, 0x61ee5a06, 0x7f1f1225, 0xde6bc4d9, 0x156b9dc7, 0xcd0505c5, 0xc60959cf,
+    0x5e4ccff3, 0x946fe160, 0xff1c0226, 0x91463ec5, 0xc6df6ee3, 0xaa4840be, 0x64a2e87e, 0xbe18d60d,
+    0x9eae3e1e, 0xb4619103, 0xf73ad9c3, 0xb7e8f40f, 0x7a7ca73c, 0x90c49625, 0x43cc9115, 0x13e85956,
+    0x6b58951c, 0x6a2083bf, 0xf289153b, 0x73327151, 0xede3986b, 0x9b51dd3e, 0x8b6590f2, 0xa3b47891,
+    0x725b2527, 0xc73afa2d, 0xe1c6ca97, 0xb86a7c4b, 0x5213194f, 0x50d91057, 0x03d9c45e, 0x330a98b2,
+    0xed8ca608, 0x183aa0a5, 0x8bb5c711, 0x0349807e, 0x9be9f28a, 0xce50c55d, 0x7b7f03e5, 0x084d2e84,
+    0x766c3d9c, 0x34e5268c, 0xdb448019, 0xddfdb86c, 0x1d80bf75, 0x5c3fa7f8, 0x7b33b99b, 0x2a9e17c7,
+    0x9682ec40, 0x81e39a04, 0x3cb8aade, 0x7bf175af, 0xc500a9ed, 0x69e09857, 0xba49e19a, 0x001b474d,
+    0x9a4e1cfa, 0xa2ddd790, 0xaa26d93d, 0xb369d101, 0x0b9d96cc, 0x34af2932, 0xa1df68bf, 0x29aa02ac,
+    0xebc0a624, 0x84bbf4f5, 0xe8042255, 0x70fbee71, 0x158e6d5d, 0x77e3430a, 0x0edbd35c, 0x82da9980,
+    0x25de2d40, 0x9a07ad11, 0xad72dfc2, 0x5564d7d2, 0x76fed2ef, 0x81b54287, 0xcaf7a5a9, 0x8d6f520d,
+    0x7d58acfd, 0xe0187b98, 0x3f88e990, 0xa107a85f, 0x2e0104bd, 0x6de78be8, 0x4419efa0, 0x827d608a,
+    0x93ce4f96, 0x6a8fbaf7, 0x3797df55, 0x792f0750, 0x9428db95, 0x3dde6c0b, 0x84050252, 0x78f4cb4e,
+    0xf3876fe0, 0x215a4f35, 0x0917d3b8, 0xccb4e3a0, 0x06cbef56, 0x143dbec1, 0xd6cb2ca1, 0x5ebdb22c,
+    0x8ec62f40, 0x4ef548ef, 0x8664d2be, 0x0fab0e4f, 0x38627037, 0xa4edae35, 0xbac7d65c, 0x9112b832,
+    0x4e187033, 0x7f652b43, 0x86d93692, 0x3f05f418, 0xa7d32471, 0xd1d11892, 0x475359ba, 0xecedc9e2,
+    0x7a7cd49b, 0x5e984aa9, 0x904439a1, 0xc980a4ce, 0xbac620a0, 0x3a737ee7, 0x5c5af16c, 0x3d66629c,
+    0x8a385cbb, 0xa8dcaacf, 0x1b4978a4, 0x52997760, 0xdf287ddb, 0x23c7d376, 0x84b89543, 0x69a2c39f,
+    0x9bd218f0, 0xba0632ad, 0x148e0634, 0x45b9e34b, 0xead7f456, 0xf380ef6d, 0x7e3b8f55, 0xab10c9b0,
+    0x9f84ed57, 0x1420cdf3, 0xd01402b1, 0x0ca00bec, 0x0dc249a5, 0xb6bc5c56, 0xdf70f922, 0x15260b17,
+    0x0e74d2d3, 0xe611ebe3, 0x3eb695a7, 0x9d33a3df, 0xd1d7fac8, 0xd46957b6, 0xf2f7d82b, 0x91f47476,
+    0x65fcff1f, 0xc467bd44, 0x05c327ef, 0xda89c05b, 0x8998966d, 0xae938e38, 0x686ad60e, 0xa4cef715,
+    0x7723d91c, 0xe052cda8, 0x5adabdec, 0x7a385d90, 0x85749ead, 0x61b56cb6, 0xd6707ceb, 0x7a41173d,
+    0x15a887c8, 0x37473891, 0xa0568e21, 0x501e6389, 0xd227f990, 0xf29dddfe, 0xcba71c86, 0x9d074312,
+    0x3da828c4, 0x83f0cd0c, 0x616cb1d2, 0xbfe9d01d, 0x1f8239ba, 0x159a7acd, 0x6750e519, 0x69842a56,
+    0x5c484142, 0x4ebf0e2e, 0x0529976d, 0xc45cefa3, 0x1bbb78fe, 0xf7c02efc, 0x34503c2b, 0x49d3254d,
+    0xbd0be980, 0xc35b56fc, 0x2b1b8aa8, 0xd499979d, 0x638fd043, 0x92895b31, 0x9f4e9783, 0xb1c1214f,
+    0xec630b36, 0x88b4f5c0, 0xf3f9c3c7, 0x0e4f5d01, 0xb71e17ce, 0x87526db4, 0x2e064a6e, 0xca72fc5e,
+    0x5d590fc0, 0x451cd9d2, 0xcb54667f, 0xf54016ea, 0xec09ea19, 0xaa6376b1, 0x678af0d0, 0x2e6600ba,
+    0x22061c50, 0x48863d12, 0xe38ee5e8, 0x1a20569b, 0xa7ff6654, 0x65661485, 0xfd3d3184, 0x177dd0e0,
+    0xeb79fb7c, 0x7fe0a32e, 0x9e74a5b4, 0x312a55ba, 0xa5b3d40b, 0x10bfcc2c, 0x9e26c294, 0xee896ddd,
+    0x1485e730, 0xbce6b32a, 0xc3651925, 0x6ec610c7, 0x9e6a096b, 0x1b955384, 0x8a40de56, 0x35cc8f6d,
+    0xb940f1de, 0x2b141708, 0x8772023e, 0xce757ade, 0x78ebc46c, 0x1e69d5de, 0x9ed2a375, 0x724e72c4,
+    0x7f8dd4ef, 0xf0883fb7, 0x7d41a802, 0xb2595a88, 0x8ca7c9ea, 0xaf465130, 0x7dbde26f, 0x6fce92e4,
+    0x4c2541fe, 0x351adda9, 0x65f92bed, 0xc26c1c8e, 0x0a71a43b, 0x888c8616, 0xfa6da3c9, 0xefeccc28,
+    0x724ba403, 0xa771931e, 0x52e4d8ff, 0x07c97e58, 0xc86cfd20, 0x5fa04511, 0x070ba651, 0x0e3a3a3e,
+    0x1f9ff1a6, 0x63ff734e, 0x9cc46355, 0xefda6cfd, 0x564e63cf, 0xd8a1d9bf, 0x76af3d56, 0x1b0e6937,
+    0x2ae6b0d6, 0xb95bcb1d, 0x2718828d, 0x86f08ecd, 0x54a83383, 0x3468f7d4, 0x64462280, 0xd95056c7,
+    0xb1d53f99, 0x57568825, 0xbe92d773, 0x1074fd9e, 0x42c8ef1e, 0x6a30659d, 0x30f51f3f, 0x9f8717b2,
+    0x27cdfa47, 0xda4b9c56, 0x7261f248, 0x50713323, 0xc2fed2b9, 0xbdc59e7a, 0xc5070be4, 0x0f13ea1d,
+    0x532cb507, 0x595b9654, 0x2d67ae77, 0x66663cf6, 0xb58a4d9e, 0x5c595f6d, 0xdcab7c68, 0x4b44806f,
+    0x427d704c, 0xbfff64d1, 0x2fd073ba, 0x2de2d8f2, 0xd3def282, 0x3f0d016c, 0x26d00ba1, 0x3035b708,
+    0x99c699ef, 0x854d7059, 0x0deb3286, 0x6f78cbfb, 0x4547b6f0, 0x3603d068, 0x8ad7440b, 0x0456b4c6,
+    0x71e65bae, 0x72a4536d, 0x038d99ef, 0x7a2f7a32, 0xc476ed5c, 0xe2f0c1eb, 0xea8d6bdb, 0x68850119,
+    0xec0ec6b2, 0x7b16c188, 0x2f1336f2, 0x45c50a8b, 0xef040e94, 0x2bce1d6e, 0xeb68c82b, 0xa3f77a3a,
+    0x0a7b6505, 0xfdc3e7f6, 0x00312922, 0x956df1b5, 0x80221ca6, 0x76db167f, 0x7c3f5bd6, 0xb9c178ee,
+    0xf2e5284e, 0x39b07655, 0x72ae1638, 0x37492e23, 0xa348a969, 0x68f038fb, 0xc7baad7a, 0x3eda1916,
+    0x59a04905, 0x6919981f, 0x5f9d1090, 0x4a255c35, 0x4c4328d2, 0x42fb5ee5, 0xde6f772f, 0x06b23630,
+    0xfa68da9c, 0x7372e534, 0x6e17c8eb, 0xcc812a46, 0xd0f2df32, 0x710149b6, 0xaa9579b1, 0x684b8c52,
+    0xc0dec3db, 0x8bf4b540, 0x713319fa, 0x2a1e1ce6, 0x521f5c4d, 0xff9b745d, 0x56e5e104, 0x8979bf2f,
+    0x61511ae3, 0xfe322be0, 0xfe9dfa53, 0x6c52abc1, 0xf63e4e28, 0x5e2a1b4a, 0x5d697fd4, 0x6a63fc55,
+    0xd5f9b265, 0x39aa209c, 0x1493ec76, 0x0ba7856d, 0xdb1c5e1f, 0xf21ecc21, 0x23cc6142, 0x38496ae4,
+    0x230d1de2, 0xf0d04979, 0xda6d36a9, 0x03486545, 0x2fd94ec3, 0xd903d335, 0x488b1a69, 0x7db3ae7a,
+    0x7082b12b, 0x51177a7a, 0x8e610c1f, 0xa2117d4c, 0x10a94af9, 0xf43aee60, 0xce4f09cd, 0x3c67926d,
+    0xf0a205e1, 0x4d9cd741, 0x77b8039c, 0x084cdda7, 0xc8e46e4a, 0x56ff0a7c, 0xa6bb2844, 0x0b5b8a3e,
+    0x92e9cb05, 0x312cf372, 0xf4e947d3, 0x4d0f0892, 0x8ed28c2f, 0xba6d1436, 0xf37fdc9f, 0x0bc1108d,
+    0x31804f0e, 0x5bb42d4c, 0xa982c977, 0x4de24329, 0x96642415, 0x6be4b563, 0x7813d610, 0xc3b26a29,
+    0x796f4ad1, 0x76b06184, 0x6b7aacde, 0x7956b7ff, 0xefb82695, 0xe70fc69f, 0x9613b75a, 0x747976c3,
+    0x31287fb3, 0x1bef1c87, 0xdfd731f5, 0x1cd9856c, 0x07738f81, 0x12fb360e, 0xb568e8db, 0x20c176a9,
+    0xa00134a4, 0xac238b35, 0x2779f048, 0x61371f59, 0x39bc3d0e, 0xb2e77bd6, 0x1506396d, 0xd6331b7c,
+    0x3d6cbcbb, 0xfd2e52c8, 0x748bdd03, 0x2f6218a3, 0x1e4f4f16, 0x1c4b3cf0, 0x57e481dc, 0x8f78e06f,
+    0xf38938a0, 0x65902f92, 0x1e3c0344, 0xbb2a2608, 0x956dc4b3, 0xac8107df, 0x3ddddf6d, 0x03f1ffba,
+    0x333c5135, 0x6df560b5, 0x50cca535, 0xb6554c33, 0xe3f67bcf, 0xeb920fbc, 0x2eac5cb5, 0x5914ea43,
+    0x2a75beed, 0x8b79ae10, 0xd3497b03, 0x73ac20b6, 0xbc8df25c, 0xe60eea3b, 0xcd5dd3d2, 0xad83f18b,
+    0x1f6d3816, 0x62dc969f, 0x92a957a5, 0x9822fbc3, 0x896bbb26, 0xcdceea30, 0x4fd5b41f, 0xcee45142,
+    0x37828106, 0x841d05ef, 0xf33ee9f5, 0x4bbc4b8f, 0xf14b138c, 0x1059cdd9, 0xa3de8a3d, 0x3979744e,
+    0x0fce75f7, 0x2885613b, 0xffe838c7, 0x3191f8e4, 0x5e156842, 0x636a40b1, 0x3dc82824, 0x45882d31,
+    0xc76197d5, 0x6ca1bdba, 0x36d31e72, 0xfafaff10, 0xae901566, 0x429fc177, 0x2df980ad, 0xa0620c47,
+    0x48d53efd, 0xc467718a, 0xa29368ba, 0xfa484001, 0xaaf9c866, 0x423f022c, 0xdf1b3de9, 0xcf0a97c1,
+    0x0ab2c002, 0x0a863ffc, 0x3564adcc, 0x6c03be2c, 0x45dfab2e, 0x072e749b, 0x05f4e85f, 0xee41c533,
+    0x5c783c5d, 0x420d1e18, 0xed15bee4, 0x69a0d0e8, 0xd86ce9a9, 0x8f147e52, 0x25bf8d18, 0x92125c87,
+    0x149b2ec3, 0x436d4664, 0xa74cc468, 0x9ca5be0d, 0x64753407, 0x8c30c9ca, 0xf7fd3913, 0x630f0f3d,
+    0xf9a836d0, 0xee09546f, 0x87566e03, 0x3d590491, 0x000c6cd4, 0xecf9d8b0, 0x21246218, 0xb31bb79e,
+    0x76722211, 0x21b898d9, 0x4bee5e0b, 0x484f874b, 0x571b5a05, 0xc23565c6, 0x802c6da8, 0x8deb25e1,
+    0x5c345d5b, 0xbad1b3db, 0xb917ab16, 0xc8215949, 0x52de0b08, 0x52d25e0c, 0xba3230e4, 0x3d9bf792,
+    0xa5056de2, 0xfe4507cc, 0x6b5ea055, 0x1f1045a8, 0xbb779e23, 0x437c3e80, 0xdadc7222, 0x29cc26e8,
+    0x539e358e, 0xea25c5bf, 0x9d0bb648, 0x55acf993, 0x915b0f40, 0xeac81056, 0x5b80a97d, 0x15e66a14,
+    0x1aa1029e, 0x8f05eefe, 0x7f7cf420, 0x4414763b, 0x24ead552, 0xbbebd51a, 0x7984292d, 0xfb214066,
+    0x81686043, 0xe52827c4, 0xe2affecd, 0x544dfd2c, 0x415cb2a5, 0xd08aadd6, 0x6538c1c8, 0xaa5273da,
+    0xccae390c, 0x259be8a9, 0xcc0aa5fc, 0xf2b99a32, 0x25972d55, 0xdea1fc31, 0xd687f6a6, 0x94a9b078,
+    0xc8ebb58a, 0x4118c665, 0x9dc61851, 0x81aa7a31, 0xeb055111, 0x436628c4, 0x9597871e, 0x18b643f3,
+    0x16e4baba, 0x0dd4d82b, 0xf58bb00f, 0x91c45100, 0xee57e106, 0x05ddf740, 0x0ec71c49, 0x3238acef,
+    0x41512c1a, 0x55c06376, 0xd32fb2a2, 0x6835670f, 0x741ce23a, 0xbb3f2d5e, 0x5dd6daf4, 0xe6f2dd88,
+    0x78614d69, 0x96dc51ce, 0x17d76305, 0xfe9ac6a2, 0xbde1f763, 0x5484929f, 0x3449bfd6, 0x7b8484b1,
+    0x4c392514, 0x619866a7, 0x50dad0f8, 0x81d74c1d, 0x644596fe, 0x72fde908, 0x9c2e1ec0, 0x223e8268,
+    0xeba602d3, 0x8504ecc7, 0x62d62098, 0xff2f45ad, 0x3f135d17, 0x3b6fa4f4, 0xe2a3928b, 0xbc3f41d4,
+    0x7ea8c4aa, 0xa5437506, 0x91d15bde, 0xc27285c6, 0x1988fe5b, 0x86ab1207, 0x4449a321, 0x826a73ed,
+    0x745a47dd, 0xfce41b53, 0xd7002534, 0x9b3020fb, 0xcfac3f71, 0xfd882bef, 0xed9c3ee2, 0x768a0bca,
+    0x62bcd872, 0x496adf2a, 0xbcf6c3c6, 0xaab9b0cd, 0x50971940, 0xe351c959, 0xf9a0d0fd, 0x5c002ddc,
+    0x6743e17e, 0x2a43e047, 0x11c6d5bb, 0xddaca252, 0xfaa17407, 0xcb48f296, 0xb97af473, 0xf863fbc5,
+    0x00000000,
+    0xe492bf6e, 0xbcd1b8af, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000001237940039285380274899124224 */
+  { 0x00000000,
+    0xd6b0618b, 0x1b3dfba7, 0xd75a2531, 0x15c823e5, 0x30a75032, 0xa3d4fc5d, 0xa5032f9d, 0x3222a390,
+    0xdd74551f, 0x8f8c425b, 0xe79ecd9a, 0x95ee56d8, 0x40278392, 0x4ee985e3, 0x060d35db, 0xcdbd3694,
+    0x6ad2d98d, 0xdcbc5352, 0xb9354911, 0x8c2dda97, 0x12f21c56, 0xb33ef8ed, 0xd6a13942, 0x0ecf91b7,
+    0xa833a6bc, 0x400d1aca, 0x9d6b3e08, 0xa535e511, 0xa40802c1, 0xf17a2eca, 0x5f9dd7ce, 0x319c0409,
+    0x3de2080b, 0xd255484b, 0xe320db43, 0xb10e457c, 0x93cddfd4, 0x7aeb1cf7, 0x707479ca, 0xa7dfa68d,
+    0x45643852, 0x14bd7202, 0xc433b268, 0xbab52e3e, 0xbfce9541, 0x347ea514, 0x66ae4620, 0x88c91e89,
+    0x0f276725, 0xc10ea953, 0x603b7f74, 0xf7be38b1, 0x62ef0b6f, 0xb84b9a9b, 0x9061c558, 0x908ea195,
+    0x8cec30af, 0xd4661c76, 0x698eceea, 0x57c99025, 0x27b39429, 0x997fbc1b, 0x842f2c51, 0x1f73ab76,
+    0xa4f80368, 0xff60c7c8, 0xc8cbd61f, 0x87782e0d, 0xf7813742, 0x948c3908, 0x16eb0d4a, 0x9a75eb03,
+    0xc695c7e0, 0x0124e29a, 0x6d6fb33a, 0x26926699, 0x445602cd, 0x0c030364, 0xc703a7c9, 0xe1671b9e,
+    0x182bf344, 0x79e2eb59, 0x67f1a96a, 0xc771dbf2, 0xd312a1e2, 0xe07afc39, 0x4511117b, 0xe0b4d4df,
+    0x93e54336, 0x01c15ba9, 0xd7ab034f, 0x97a2e989, 0x232d13a9, 0xf43ff19d, 0x8ad43c88, 0x717346ff,
+    0xc7e19492, 0x8ebc4c96, 0xdbc9c707, 0xa3a51387, 0x88fab9d9, 0xdc77a478, 0x89de5439, 0x0a1daf0a,
+    0x4849cca8, 0x01375ab5, 0x63e74f83, 0x1e67c0c5, 0xd5ed6450, 0x18d9ef48, 0x13fd74bb, 0x42e92b08,
+    0x26b56d30, 0x8b918530, 0x05bca0b4, 0x291e8480, 0xa2281c8a, 0xbf596ccf, 0xb833d40f, 0x4cdea80e,
+    0x5183b260, 0x162105da, 0xc8c4315f, 0x14ae0495, 0xcfac9de8, 0x6be65deb, 0x2b1c0730, 0xb3bb22aa,
+    0xb9176143, 0x0aeb0a40, 0x9de7e145, 0xb0a8014c, 0x16fd5f91, 0x59bbbaba, 0xc8800d3e, 0x422eb63d,
+    0x9eb452f2, 0x6d5f2b6a, 0x65f93048, 0x6e295ec1, 0x378c540c, 0xeab6c10b, 0x941fc98e, 0x577b2a6a,
+    0x5ffcf48f, 0x0a12b0f7, 0x2da881ad, 0x91f9feea, 0xddbfa1e7, 0xff9bab5c, 0x02ff2000, 0xa9cf5399,
+    0x90a03899, 0x5f072dd6, 0xb8052a95, 0x92b1fea6, 0x8f0dec37, 0xb0589d15, 0xe1b6b52a, 0x6588deb6,
+    0xb7a1ed14, 0x14db52c4, 0xfe4dd481, 0xf067a11f, 0xba1735f1, 0xfd6b6e58, 0xb63eedb6, 0xd8782011,
+    0x8aea3710, 0x2f484745, 0x73f0210e, 0xcafe5b1d, 0xf3ec9018, 0xb77d29f9, 0x190cc3e0, 0x50cb1d35,
+    0x745d4b52, 0x016f6328, 0xe4469f97, 0xaeb3d867, 0x84701356, 0xb0fe5a8f, 0x761e26ff, 0x8ecba180,
+    0x2fb94aa6, 0x1e941027, 0x7254e79a, 0x85b8084d, 0x5a46dbda, 0xffd1dd08, 0xaf8f1378, 0x240d9de9,
+    0x16c99e79, 0xc8b1db5d, 0x567fa866, 0x63717446, 0xa4136c29, 0xc2481b27, 0xfb5afd07, 0x11bad52e,
+    0xd980374e, 0x4d309942, 0x1971a957, 0x62bb5500, 0x6204a213, 0xf2ed0d96, 0x54316678, 0x05064e40,
+    0x7dd8ea1b, 0x7f42a8f6, 0x47ab20c5, 0x8b61f119, 0xc3604fd3, 0x67dba096, 0xfa45ea3a, 0x32a6f96a,
+    0x1f847993, 0xa06682fb, 0xf4165d8c, 0x87c2ffe9, 0x592f752b, 0x0e962c44, 0x30502e7d, 0x7539f7ce,
+    0xd21f96bf, 0xb1382a6c, 0xf124d581, 0xfb02be6a, 0x51a089ac, 0xfa45cc6b, 0x962398de, 0x0e6b2ee4,
+    0xe210cf5b, 0xd6100376, 0x8c012a18, 0x1269abe0, 0x8f02c495, 0x5c287767, 0x4c32be4e, 0xd7fa7b56,
+    0x05ffd697, 0x19888f0c, 0xa72ba9ea, 0x5f8ce8c9, 0xabaebe50, 0xfcda06c4, 0x3669d7e6, 0xe9d57f3e,
+    0x967f8265, 0x8b82e27f, 0x18594a33, 0x6788f210, 0xe5ccad79, 0xd8b5c51e, 0x20f0013a, 0xbe73c563,
+    0x6b431471, 0x86cc851a, 0xf27e97a8, 0x6d229ef7, 0x3574f96d, 0x53559a08, 0x89544765, 0xc0098298,
+    0x0ad8b29b, 0x6b254761, 0x8a75e085, 0x48605b5a, 0x265b4d68, 0xf56e4d22, 0x643846b7, 0x762a2502,
+    0x428c8e6b, 0x06473180, 0x01a0c58f, 0xd1abb5de, 0x83cdb99b, 0x51233ffd, 0xc9b397fc, 0xe37127f5,
+    0xbfbf191c, 0x19137a8d, 0xf788b38a, 0xd41e2ace, 0xcafea6b3, 0x9e51d400, 0x32e7423a, 0x4e27d8fb,
+    0x05f97779, 0x9321688a, 0x26e5608e, 0x405227f3, 0xf414fbaa, 0x93b80f68, 0xadfe41d5, 0x7caef201,
+    0xe711ff74, 0xb28cfcae, 0xd9d4024a, 0x24e2830a, 0x5ddd22f2, 0xb928b14b, 0x86d06647, 0x99410c9c,
+    0xd335f706, 0x4c6b0bf8, 0x009a4f35, 0x5046d814, 0x18cb8664, 0xc2c8843e, 0xa6975690, 0x44fbed2f,
+    0x825ad915, 0xb5f47347, 0x190247fb, 0x2b202351, 0xd4bf24bb, 0x4a442121, 0xe97945ea, 0x75c9cf0a,
+    0x00f21ba2, 0x8be45d73, 0x83dc0320, 0x25764326, 0xb9dfbc38, 0x2336ca42, 0xc1e88673, 0x8ed83467,
+    0x8fcc037a, 0xc5c5d588, 0x36b1c229, 0x9757835e, 0x58fc8099, 0xef2b8bc4, 0x9fca0f45, 0xf9f21d59,
+    0xbd815751, 0xcfbe56d6, 0x3c2611b0, 0xd6cce349, 0x0527f112, 0x312cd6af, 0x64c314e4, 0x8bff2e53,
+    0x0124bf1e, 0x7396c866, 0x4e7c1f85, 0x589e54c1, 0xb76e1c03, 0x2c7e524a, 0xd6695b6c, 0x03b7841c,
+    0x2172b18a, 0x20203a21, 0x09d4f408, 0x586b66bc, 0x23fcec36, 0xdf6ffa22, 0x393f2889, 0x03fd7a41,
+    0x3030b1ca, 0xa95ef15e, 0x279c2a7e, 0xc801b2fb, 0x7768a5ae, 0xbba3c2b7, 0xe92e1430, 0x9da68f9e,
+    0x6848c953, 0xa5f9d177, 0x87dabe46, 0xc8f7b3c7, 0x2c2844d2, 0x4421974c, 0x995f18b4, 0x52ee5f15,
+    0xd2f4b584, 0x906fd3b7, 0xb751ec19, 0x8b648956, 0xf269f777, 0x40298e04, 0x788de350, 0x94de5ec2,
+    0x462eaf12, 0xdf1bc267, 0x417ed8c1, 0xf53cd582, 0xe9930c65, 0x26003e1d, 0x16f5698b, 0x0e82df6a,
+    0xe65ed3da, 0x386831f1, 0x8d868936, 0x2286d815, 0xf518b9de, 0x34e859b7, 0xbd48d49d, 0x356e58ae,
+    0x27e35339, 0x5e9d4dc6, 0x1e3bce06, 0x3ef45d23, 0x7d968fe3, 0xaf92ebe7, 0xf79a12e3, 0xfc502899,
+    0x0d7a6ac5, 0xa22bdf28, 0x128068b5, 0x70d10378, 0x8fd33675, 0xdfaf5f27, 0xc8aa9816, 0x861f9975,
+    0x53c36ecd, 0xd83beea5, 0x5906b290, 0xa6e099af, 0x659b9ecc, 0x3f82b25a, 0xd471cac3, 0x9a97ef20,
+    0xb2f3989b, 0xb20b1913, 0xec89c345, 0xdd8f1881, 0x48d315a8, 0xd78cba55, 0xec7e42cd, 0x6872e74c,
+    0xcad2a453, 0xb74c3c00, 0xc4912fbe, 0xeb4b19c2, 0x29982f83, 0x6af535d9, 0x769e0330, 0x7b9a8f2f,
+    0x23f6d7b7, 0x7960d201, 0x450058a9, 0xc419ca3f, 0x003383e7, 0x55cbfd41, 0x542f05cf, 0xabe0ca76,
+    0x02e97ff5, 0x6b6ef474, 0x89baa618, 0x7d5c545f, 0xf4647ca3, 0xc0130e70, 0x53f5dabf, 0xa0fd1895,
+    0x60ae97e3, 0x579a333b, 0x394db0fb, 0xc2d76027, 0xc2c01d16, 0x5e8865e5, 0x085a3cf7, 0xcd7a8fc4,
+    0x0c592b5c, 0x38e9a880, 0xb326ea0f, 0x48a3c511, 0x2f57cf20, 0x30053fe4, 0x49c6b1ea, 0x2c468e44,
+    0x823f0be9, 0x16640ced, 0x56a8185e, 0x76aadf1b, 0xa7f3ea87, 0x23bd92fc, 0x3431f95f, 0xbd9c3e76,
+    0xb571ad89, 0x2161a9c0, 0xbe54e6fa, 0x9a0bdc9e, 0x7378865f, 0xc9c7e409, 0x91e3d8a1, 0xd8b66af7,
+    0x995bda13, 0xf3bebe14, 0xd9e184f6, 0x786b916d, 0x255c2d64, 0x6e6a3c78, 0x5f0cc4d0, 0xcee2e622,
+    0x135c16f9, 0x74f3a2f2, 0x540b8bf3, 0x3a987fb7, 0x3e4263b3, 0x77a0a0d9, 0x3d202568, 0xd3e20f4e,
+    0xaf385c8a, 0x009587e2, 0x017bad56, 0x1dd541a5, 0x0f71141a, 0x046e8bd3, 0x44ab706d, 0x15630766,
+    0xa3a5bad9, 0x0684ce45, 0x0f00cd04, 0x7bc040cf, 0x9e7af32b, 0x7c8a18ee, 0xe962890b, 0x2c5be80b,
+    0xe995b9f9, 0x92786bf2, 0xe52252bf, 0x040e4d92, 0xc8f8976f, 0xd81a0ed1, 0xdeba362f, 0x7b98ce66,
+    0x4118174d, 0xf2abb415, 0xc6a7c920, 0x0d02dcf9, 0xa2bf43bb, 0x21ff8e64, 0x948a4381, 0xac14d089,
+    0x5db87fd6, 0xd46cd746, 0x676fa1ac, 0xe60956ee, 0x97e160d6, 0xb468ba9a, 0xe926065f, 0xb703d251,
+    0x6b7ba242, 0xbd827327, 0x86667cba, 0x8b99f117, 0xf6e433f4, 0x4ece6350, 0xd0b70e36, 0x96b9b796,
+    0x3c8bcd67, 0x32e1398b, 0xf7c90119, 0x495bbc30, 0x579bf1f9, 0xdf80fb6e, 0x04745f9d, 0x41d2a105,
+    0xf0c0e547, 0x9a03b449, 0xb1bee958, 0x2279a282, 0x5093a512, 0x59a6c8c5, 0x2236d291, 0x39a43c2c,
+    0x80e5d98f, 0x7d087eb8, 0x21270b3e, 0x12b0a703, 0xbb7c1eb6, 0x6c8e811f, 0x37e0e98c, 0x86cbc903,
+    0x8e9d386d, 0xb202ac49, 0x6ec3894a, 0xefed8c17, 0x717417bc, 0x7365aa57, 0xd6e4b3d8, 0xf269f33c,
+    0xea3f6a20, 0x2dddcc50, 0x8b91d626, 0xcfade78e, 0x5da64982, 0xbf81767d, 0x0e7a9c58, 0x55284d5d,
+    0x43243fa0, 0x4282e1ff, 0x8130381b, 0x63b49b30, 0x5919cdcb, 0xa380eddc, 0x10f66cf3, 0x87c5e4a6,
+    0x12fd0de2, 0x29dc3157, 0xa00efd77, 0x95e66ba9, 0x091523e7, 0x2bd588fd, 0x6d80026d, 0xb9e1f613,
+    0x372605f4, 0xfb2b2ecd, 0x6ffcbe9e, 0xbee0bae8, 0xb18828db, 0x82c9c8d7, 0x001d0b75, 0x6f574f39,
+    0xdadd36b0, 0x23f077b9, 0x37e9e775, 0xd212fc19, 0x5d27306f, 0x31ed7815, 0x69eed45c, 0xf9e622db,
+    0x46778d59, 0xe23121f2, 0xbd4a3fe3, 0xf950b1c2, 0x04ac8fb3, 0xa2032144, 0x69f8fa2b, 0x3d1e35a4,
+    0xca4b23fb, 0x07f467e3, 0xc256df01, 0xd3476b6f, 0x6d20f6c2, 0x89c2a47f, 0x5753da24, 0x83311038,
+    0x87fef41e, 0x98701278, 0xc54c6283, 0x2a7ecb70, 0x75f704de, 0x9b3fa63c, 0xe5e8fe31, 0xf627d5c7,
+    0x555a4952, 0x685b48c1, 0x07c96840, 0x57fe7cad, 0x9a9c7e60, 0x6f944889, 0x9cf84418, 0x5654c5ee,
+    0x631fa05b, 0xa35fde95, 0xf203efdd, 0x0d1c1531, 0x9e06b899, 0xc3e96e1b, 0x89137c78, 0x3017f78c,
+    0x756528aa, 0xb212e544, 0x33bbf582, 0xcbe4ff70, 0xc5f17e03, 0xcbc2967a, 0x647df884, 0xa38ba4be,
+    0x0fe96f59, 0x0d908173, 0x3a82955e, 0x98b4eb28, 0xdaf8c7e3, 0x0170809e, 0xfbadb900, 0x3fef1bb8,
+    0x02ca70d4, 0xd9e4b180, 0x6a43a60d, 0x3c2b10d1, 0xe4846e9e, 0xe6d1eb33, 0x4fee060f, 0x4dac3aba,
+    0xe1f48d70, 0x98e7d45d, 0x8c9b8e97, 0x2f6a6ee2, 0xaebc0644, 0x15603883, 0x0cffa27b, 0x0238e9e4,
+    0x278a7257, 0xbabbb09f, 0xd12183a4, 0xc7f615b5, 0x289730b0, 0xeef11244, 0x315b9a6a, 0x9599fd6e,
+    0xa84f5705, 0x2e27240d, 0xbdd22b9c, 0xbbde325c, 0x6a7edaef, 0xf386d68e, 0x05379c04, 0x34b76beb,
+    0x7fc57222, 0xd0f895c9, 0x93c8bd8b, 0x903351fc, 0xe5eee8d4, 0x4abf3874, 0xb5e78666, 0xa2afde6d,
+    0xf7711fb3, 0xc19d8ea6, 0xfc193bbd, 0x7d41370d, 0xdb67aaaf, 0x66e61644, 0xdf3cebd0, 0x9d67f456,
+    0x6c30519f, 0x9a890dc1, 0x771d47b3, 0x4c7fe4fd, 0x86244b09, 0x298b8a8a, 0x3e815046, 0x5338a6c1,
+    0x4ad074cf, 0xf89d118d, 0x15d981f7, 0x0ba82e66, 0x44f71aaa, 0x0e20193a, 0x419545ed, 0xa3a0b2f4,
+    0xfe5a3fc5, 0xde051ee4, 0xd2d71055, 0x2a907228, 0xa2383161, 0x2e996216, 0x39c42027, 0xdd8c7aa7,
+    0x88085e15, 0x7ad37d5f, 0x7912bd67, 0xe928c08c, 0xfa6f112c, 0x26778a51, 0x28897414, 0x35f4fbeb,
+    0xf2f87dc4, 0x1c74c642, 0x4a3889c1, 0xe90420af, 0x1303bff3, 0x753c5897, 0xf70ac7b8, 0x550d7384,
+    0x6833f49d, 0x20c4fdf4, 0xa2c8ab94, 0xce2c6020, 0xacac96a8, 0xa91fa550, 0xb292c2be, 0x36e6fc5a,
+    0x8258d840, 0x120d2975, 0x542d86a4, 0xa5c53825, 0x60e9fa20, 0xe89f7812, 0xbecc823c, 0xfae44206,
+    0x0dacfd55, 0x844158c9, 0x0cfd44cf, 0x60938436, 0x7d7f3945, 0x1c694047, 0x342231c0, 0xaf137f6e,
+    0xc0c8dd5a, 0xf0449685, 0xe5d52e6a, 0xdc4ddf1b, 0x571aadaa, 0xa7a22000, 0x55508711, 0xe1ab18f3,
+    0xeb4db05a, 0x0ce59d5f, 0xa0128cdc, 0xcf8a8428, 0x4d70c9fb, 0x6c9fb4d2, 0x44963542, 0x3f3329e9,
+    0x5635752d, 0x4e486615, 0x4a1767fe, 0x7043b676, 0xd82bd73c, 0xdd1107c9, 0xfe651890, 0x1d8bb8af,
+    0x60e445a0, 0x8b8fdc25, 0xcd3823a5, 0x1ee049fe, 0x7475821b, 0xdd98da8a, 0xff046894, 0x21b72f09,
+    0xad5c8403, 0xfec76a45, 0x762e8796, 0x8d78f585, 0xe7b95550, 0xce4432d7, 0xe22ef663, 0x6dfcfa82,
+    0x00547151, 0x86d595a8, 0xbdf7260c, 0x717af1d1, 0x4e80590b, 0x7ebf7a99, 0xe411f18c, 0x1639f1cc,
+    0xfc3a36c3, 0x8896990b, 0xfc5327fb, 0xf44e2fa5, 0x2743019a, 0x45f77c18, 0xe5c49ab6, 0xdd06a722,
+    0xe730d07f, 0x7576e97a, 0xd96eb206, 0x69498c61, 0xbaa75501, 0x151f1f13, 0x8601a01b, 0x00e065d3,
+    0x580c3ac7, 0x1f07bbae, 0x26d8dbf7, 0x6b1c9134, 0x4db47837, 0xc3523b84, 0x45e189cd, 0x2bb045fb,
+    0x3d3065c7, 0xe5fc8e32, 0x4b32aeac, 0x0e0ceed2, 0xf824017b, 0x04b892d2, 0x23409830, 0x9a257dfe,
+    0xfb010182, 0x6bfa4132, 0x4ea60385, 0xd7944b1e, 0x4ca0e819, 0x4aeadc27, 0x79fc2baf, 0xa0f52247,
+    0x966e60d0, 0xd9f4df62, 0x3ed2f7d1, 0x931e61b5, 0x7e1dd22b, 0x640ac20c, 0xfa9ddbbc, 0xdf46a7de,
+    0xc6844d2c, 0xa78b5159, 0xa41efbe6, 0x1205e84d, 0x57064dcd, 0x9190b5d4, 0x37233bfa, 0x59b2e970,
+    0x8f243ad8, 0xb7792992, 0x11037d40, 0xd20362d3, 0x7f927144, 0xcd7b1531, 0xb4c9e908, 0x11ab42b1,
+    0xa30f595b, 0x9550ffbf, 0x193ef08c, 0x1f98b3ce, 0x31cc49b5, 0xcbedcd6b, 0x3004f3e9, 0x09c34ae0,
+    0x081be0c3, 0xa9348999, 0x88e3aea0, 0x573fbbc3, 0x041add27, 0xa6a50579, 0xa2c33b12, 0x2327c723,
+    0x9f4356ca, 0xada367ab, 0x97f6884c, 0x7dce2074, 0x2758fe7e, 0xb018cf58, 0xf8acafd0, 0xdc3d734e,
+    0x0142e417, 0x52c4d423, 0x18301c4f, 0x7e7b6845, 0x4e99604f, 0x08fffcd5, 0xbe769101, 0x10048b01,
+    0xc7b1538b, 0x393a6cdc, 0xb1e1f08c, 0x5f761a69, 0x058b6105, 0x9ef222c2, 0xd83f7109, 0xc631c473,
+    0x8b4e9099, 0xc12dd1dd, 0x63dc8967, 0xe0a0a973, 0x1f04421f, 0x9ed0a433, 0x487b3fcf, 0x76163eca,
+    0x05bdf85a, 0x97123991, 0xf4cc379f, 0x238700da, 0x26c5c6a8, 0xe3804009, 0xa03da31f, 0xff675538,
+    0x2f953ab8, 0xda96bf38, 0xb8384e4c, 0x4ff57116, 0x94b93edc, 0x1a72ca62, 0xce5314cf, 0x6fd19fcf,
+    0x64661030, 0x1b123cc6, 0xafdf4357, 0xa5ac9fbb, 0x9c39cdc5, 0x4486c48f, 0x04928047, 0x4721dba3,
+    0xdf45ff8e, 0xd6466b30, 0x62285ebf, 0xe5be3791, 0xc32d45f1, 0x1d3b29a8, 0x44634cd6, 0xd7a39542,
+    0x50633482, 0xb85a6453, 0xf88ece4b, 0x2108cc0f, 0x115a4a50, 0x55278b69, 0xdcf44559, 0xa2d405a6,
+    0xaee49847, 0xa4a1fd36, 0x4d23e0d2, 0xac58f196, 0x24b0969e, 0x0188c9af, 0x46d785bf, 0x1936c056,
+    0x69d08108, 0x8d464bf6, 0x64fc09f7, 0xc952fdc9, 0x94699108, 0xb2b21384, 0x3e54bd17, 0xfc2aa4e9,
+    0x00000000,
+    0xf2495fb6, 0x5e68dc57, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000618970019642690137449562112 */
+  { 0x00000000,
+    0xe6208e41, 0xcb489e7e, 0xfd5a2064, 0x99f101bc, 0x036959a5, 0x04c2a0d8, 0x252408ed, 0x4e0c848f,
+    0x347f84bc, 0x9067aa31, 0xe6865c1a, 0xc497cbd3, 0x79d8ab4b, 0x55524d27, 0x6dff2dd4, 0x1de44e6a,
+    0xb1ee1107, 0x6d11ba58, 0x80f20972, 0x8e87db35, 0x50a97d0a, 0xa714ff1e, 0xca81593c, 0x5ca8def0,
+    0xf367efc7, 0x2d38ea19, 0xeef71d09, 0x976661fa, 0x9d99c233, 0xffe8d362, 0x735dc0f9, 0x76a54984,
+    0xb02c3697, 0x5bf1cd6e, 0xf28f9ac4, 0xace851a7, 0xf1179ac6, 0x7e23d0dd, 0xeb740af9, 0xe40bd9cc,
+    0x1d0b63f1, 0xd565aaa4, 0xcbe6d895, 0x6dedd9d3, 0xbbce1070, 0x4849a555, 0xd9705f93, 0xfd51eed3,
+    0x6c37ac3b, 0x4d7c961a, 0xe8d42e51, 0x28c3fee6, 0x8e4a5b0e, 0x7d50a42f, 0x65a64359, 0x69349eb1,
+    0x73c2dcc5, 0xbe57f2c5, 0x7ef65c1f, 0xa7fb96b0, 0x1a799494, 0x8ff7b31a, 0x6c2ad2a2, 0x0de2ff35,
+    0xe5f6abaa, 0x3302cfd7, 0x6a686233, 0x6b8f0f77, 0xe9212506, 0x4eb70733, 0x5727b07d, 0x9ce853a2,
+    0xa0de1405, 0x2d76bc19, 0x7e0892aa, 0xbba18c6d, 0x1009df00, 0x3f78bf8a, 0x8a5d2c5b, 0x4eb85303,
+    0x5885e268, 0xefb79b86, 0x60b5c5fa, 0x16394556, 0x1d9acbb7, 0x1362f285, 0x193c72f3, 0xaf67a525,
+    0xb1350b94, 0xdbb971a2, 0xb632773b, 0xfbaacd7c, 0x46fd6546, 0x08cde7f2, 0xa9f3dec8, 0x3c010f51,
+    0x9e0d5a47, 0x6816bd6a, 0xbbf9ca18, 0xa07cf15f, 0x30bf1bfb, 0x39e1ce9e, 0xc19d8183, 0x7477beee,
+    0x03c53f6a, 0xe95fae07, 0x88803b92, 0x38156c4c, 0x1f7a4b28, 0x1b472fd9, 0x2cd2f595, 0x3020f736,
+    0x097eb9ab, 0x2b913492, 0x5032419f, 0xc3b34010, 0xbf1eea56, 0x74acf840, 0x2aff9f0d, 0xc85e0bbb,
+    0x05633891, 0x52805752, 0xe8e21802, 0xf9eff9f9, 0x874d0590, 0x2edfbed8, 0x49ce27c8, 0x578e15bd,
+    0x6a8a9c96, 0x286098a0, 0x9120a93c, 0x96a50681, 0xaa0e13f9, 0x88a300a1, 0x6e5fd02b, 0xee260675,
+    0x9f77d11a, 0xf905e92a, 0x82eae8d8, 0xb70373a4, 0x08a96b0a, 0x638c9b1e, 0xf5842b61, 0x2ad6bded,
+    0x23230588, 0x0caa9fd0, 0x08d833c3, 0x8d8fd645, 0xb0add5da, 0x3694d339, 0xd2764cd3, 0x4caa7e55,
+    0x5da960ea, 0x3d631cab, 0x8b95d5dd, 0xa447529d, 0xb229c43f, 0x6d1aae45, 0xcdd97848, 0x2d026d0c,
+    0x99b8e8be, 0x22128158, 0x4d4acbe6, 0x46b37220, 0xcd5ddf70, 0x91ed6dfd, 0xfd0e865b, 0xaa0feaee,
+    0xaa0f05a3, 0x8fe002f6, 0x000559c5, 0x5e84fe2c, 0xe7122b1e, 0x097582ab, 0x101682b9, 0x01a549d7,
+    0x96c1f0ea, 0x97b69a19, 0x157b113a, 0x3ad8b955, 0x2926cf67, 0x6b9b6892, 0xfbf21cff, 0x627883a7,
+    0xe68f8a9f, 0xb041c795, 0x51897b3a, 0x3e2a533c, 0x2a5e68c0, 0xffb043b5, 0xf92f1c37, 0xfaa7e89a,
+    0x75a7bb3c, 0xd2c39e26, 0x78b80c17, 0xde85aff6, 0x086c964c, 0xc779de08, 0x89ecfab8, 0x201bbd31,
+    0x76d3a1ff, 0x7e13d232, 0x9eb48f9a, 0x57d12ed1, 0x147fd0c0, 0x589fdf77, 0xe5c9d066, 0x99a744ac,
+    0x50fef3d2, 0x27c0b0f0, 0x68ad3a05, 0x922cb5e8, 0x93510604, 0xb3bf3488, 0xbe4d013f, 0x0f701a24,
+    0x7650f3d8, 0x93958da2, 0xcef13624, 0x525d0328, 0x6098b64d, 0xe5a87977, 0x256a0078, 0xfbc29467,
+    0x49963722, 0x37961430, 0x570fc01c, 0x7eec29a5, 0x31fe937c, 0xc191141b, 0x4c65a576, 0x9a72f132,
+    0xfd4826c8, 0xcf6af272, 0x55c9f3d2, 0xebb8d7cf, 0xe961aec0, 0x3dafd9fd, 0x01397a99, 0x79028fae,
+    0x6dfb0f40, 0x340f0e86, 0x21d413c9, 0xa72c3bcb, 0x9939714d, 0xfdee377f, 0x1b79aea2, 0x221e0304,
+    0x9b8c2576, 0x1841d13d, 0xf135350f, 0xee0f4f5d, 0x7c70f3bc, 0x64129f1f, 0xf49035a7, 0x73dc6890,
+    0xea487f0b, 0xe738aac6, 0x5967e1ab, 0xd578c3c3, 0x8c64be1b, 0xba26bb2e, 0xc9bf3c63, 0xf4fffdc5,
+    0xbbe1f556, 0x1104f733, 0x1930e295, 0x46fc4011, 0xce7a87f9, 0x23cd5b41, 0xb2cae806, 0xb7102391,
+    0x0cf02836, 0xd2ec6cd3, 0x53d28a1f, 0x4445c543, 0x5fdca4f3, 0xd4d7874b, 0x5c455cbe, 0xb3d5892b,
+    0x09fbf9bb, 0x17972fc0, 0x17daad1f, 0xd0fcf36c, 0x86dbfb4b, 0xd5a7313d, 0x1f262ea8, 0xadcf890e,
+    0xac09c3c4, 0xb2641c23, 0x179f9f81, 0xc712796e, 0x31c0feda, 0xcd8a3dee, 0xb82eec08, 0xcb405b25,
+    0xd0cbed79, 0xec0f0d7d, 0xa7bf7841, 0x947df510, 0x6c4a2245, 0xd9c035a8, 0x98da92f0, 0x8fc3fe6b,
+    0x7d0f5de0, 0x33ae7f62, 0xa34c223b, 0x1a93b5cb, 0xaa125168, 0x28bf1b69, 0xa47de81c, 0xee35851c,
+    0xa6f2cea0, 0xe2286f4b, 0x51653753, 0x7a79b77c, 0xdd52dafe, 0x91779d6a, 0x598941e4, 0xa47a8b2a,
+    0x5a95e2b0, 0x46197992, 0x74ab07e4, 0x255a0373, 0x4750f8cf, 0xa1d3b5dd, 0x7b0f32e6, 0x10d5617a,
+    0x22a525c5, 0x2f57eef5, 0x087724fe, 0x66100fa7, 0x73b6177b, 0x153872e6, 0x487d963c, 0x6f737a33,
+    0x404f75c5, 0x90435130, 0x3a3036dd, 0x5c75b68f, 0xe23e7406, 0x635c7bd6, 0x8a830975, 0xc205d8a5,
+    0xf87f153b, 0x159a0325, 0x8888aa97, 0x16e32801, 0x6dbd1603, 0xe38bb93a, 0x4101b6b4, 0x61d499f7,
+    0x701b3e0b, 0x890b8e62, 0x91464be1, 0xa5cc1274, 0x9e6952a0, 0xa871f5ac, 0xbe1de7db, 0x24fa52b8,
+    0x98c87705, 0x13a77a00, 0xc0e5ee80, 0x4d210d9e, 0x6528ee89, 0x1ecc59f2, 0xabde94dc, 0x90b95808,
+    0xdacfe0e8, 0x3368e2e6, 0xfea206f6, 0x91cc7c04, 0xda888d6f, 0x2bc38b6d, 0x118d7031, 0xd8fd2293,
+    0xa03090b3, 0xc8e16127, 0x19e11463, 0x984658ea, 0x1b788d83, 0x072bbaec, 0x9dd3bf62, 0x163e70a3,
+    0xa7a4df28, 0x69040b7d, 0xa100e31c, 0xec6a5fbe, 0x0f9595bb, 0x93611646, 0x137a0635, 0xa1f907b2,
+    0x1ca87bbc, 0x2fa8a053, 0xf9192a5c, 0x195e725b, 0x180545f1, 0x9184f712, 0xd4696ca9, 0x835e9971,
+    0xbbf46b6c, 0x29db4a37, 0x96c02704, 0x8b837f4d, 0x6069bb30, 0x2f4bf63f, 0x3fd5f175, 0x979111c6,
+    0x2122ba6e, 0xe4c65979, 0x57cd55c4, 0xfa277761, 0xa8be25c8, 0xfc3a8d55, 0xf9eafb8b, 0x0a96b3ab,
+    0x5f8da687, 0x02f29a98, 0x9f1d8d9a, 0x1328e94b, 0x6ef9328a, 0x289e4d35, 0x602fdb7c, 0x4d54e3d2,
+    0xfc97e443, 0x1b284fee, 0xdb046fee, 0x3fa405b9, 0x0fea28dc, 0xe94049fe, 0x8ef6c995, 0xe3c34eb2,
+    0x218299eb, 0x2336e15b, 0xf632efe3, 0x35e64223, 0xcb0933c5, 0x236d3b77, 0xf79ef8b3, 0x174c3e6d,
+    0x9b4ad4eb, 0x9621f974, 0x40c41a0c, 0xc3ee91e2, 0xdc24622c, 0xc0cb5a06, 0xca3334f7, 0xc7dd2363,
+    0x07b2668e, 0x18214801, 0xcc8280bf, 0xe32e6e7d, 0x6c95246a, 0xcd83ab27, 0x698074d1, 0x96521a03,
+    0x6093141e, 0x2c65e3b8, 0xb2229341, 0x543d3490, 0xf9a7a69d, 0x8e167a78, 0xdc4174b6, 0x7dd7ddb4,
+    0x46a76995, 0x674741c4, 0x4ab0dd48, 0xc006dd1b, 0xde02ad66, 0xaaa4a781, 0xa0ef1875, 0x16ccd1d1,
+    0x04ada9b6, 0x8d776c58, 0x83ac4008, 0xc977c5a7, 0x3c75b3f1, 0x26b1e658, 0x145e8c00, 0x070a43e3,
+    0xe4c45949, 0x29b15c13, 0xda08f37b, 0xfabc2d90, 0x3e7d3659, 0xee474030, 0x1c382e7c, 0x9bbd162f,
+    0xa518ad7f, 0xc37643d8, 0xa5a1aeb3, 0x20e3d531, 0x6ad69f33, 0x0b527605, 0x9fc26b34, 0x02056554,
+    0x878fbc9e, 0x48393b17, 0x7c34ff2b, 0xad44e58a, 0x2adcc9fc, 0x1f3b476d, 0xea4cbccf, 0x411ac77c,
+    0x40404d3f, 0xc3ccb273, 0x6a88020b, 0x821ea60b, 0xd7fba38a, 0x04ac90a8, 0x5abc2aba, 0xf32fb696,
+    0x3ba90158, 0xf0475a2d, 0x20a89563, 0x95f44f6f, 0x43f85046, 0xbfff5ac2, 0xba6587d1, 0xcabdc668,
+    0x167312ad, 0x73686545, 0x12e632e8, 0xc0998a36, 0xa37afd07, 0xb8a91710, 0x7ed2a4db, 0xb4a3f2f1,
+    0x459c2e61, 0x6df9ec77, 0x0a5f85fe, 0xed684083, 0x6452feff, 0x87002a3b, 0x6a953a5b, 0x6d74a53a,
+    0x040d0368, 0xc8cec1b8, 0x0757529e, 0xbf47fbf4, 0xc09b895e, 0x0f9613d5, 0x0e39c532, 0x10b26749,
+    0x7b7748b8, 0xfa645710, 0x20ab0cdd, 0x2ca9c0e9, 0x250017fd, 0x58b7b7fb, 0x1948dcad, 0xcef981bf,
+    0x624a0d5e, 0x9d56f48b, 0x1d711752, 0xc9c88b05, 0xffa311f4, 0x85393844, 0xb2d5ffa5, 0xe04154bc,
+    0xcdeba290, 0xe34044cc, 0x7f571da1, 0x42260f18, 0xf5ee7292, 0xac2d6a91, 0xe8773e31, 0x80d53175,
+    0xe9b05e11, 0x1828b526, 0xb3fa79f9, 0x44a195d7, 0x64e86cfa, 0x0367f65f, 0x88107c6a, 0x9a2a03fc,
+    0x16e9a198, 0x38af8bf5, 0x2cabf612, 0xe168847b, 0x13c1ad5f, 0x2305bf2d, 0xfc0213f4, 0xafc7ae72,
+    0xa393648f, 0x0e9df5cb, 0x718979ac, 0x4dc1fac3, 0xab413691, 0x42afbbda, 0xade38d57, 0x0138b97f,
+    0x3c457676, 0x9c164162, 0x595f1540, 0x9def8771, 0xe6502eb4, 0xfff4d435, 0xfe2e8907, 0x88246e79,
+    0xedd172d9, 0xf4617c59, 0x14e59dcf, 0x26d810d7, 0xec8cef2d, 0xb8295771, 0x68c9b433, 0xb68c5cdf,
+    0xcb75511b, 0x575704c4, 0xfafe8a3f, 0xce811c32, 0x5c55c9e8, 0x255de2cc, 0x82b95241, 0xf7bdb7ef,
+    0x90078e5e, 0x5420cd8b, 0x9b84a0ec, 0x8f9c71a0, 0xd6c9471d, 0xe96057e6, 0xbfff72f5, 0xa8a0ea94,
+    0x5aaecddb, 0x1c1773eb, 0x23951330, 0xb1835cfa, 0x3c79c1a3, 0xfedc6437, 0x0b06b4c1, 0xd0f4d7de,
+    0xd9b4cf8d, 0xa1e74d22, 0x87479fff, 0xcde495d3, 0xbf494083, 0xe67b9f4c, 0x4aa25997, 0xc9147501,
+    0xd6505c46, 0x1d648cdf, 0x049dad80, 0x51852ec8, 0x58b80eb6, 0xa0175df2, 0x9dbd2e68, 0x43a37458,
+    0x28117f40, 0x9782e9a8, 0xde708a9e, 0x8c65dfb1, 0x4a54e13e, 0x208fac71, 0xe9e79496, 0xbafe8fdd,
+    0x3fcfda09, 0x9dfd2e2c, 0xe8057e29, 0x9ddbbbe0, 0x43ea3bfe, 0xf74fc997, 0xb47b058d, 0x688df6e8,
+    0xcf6a12ef, 0x9fad0320, 0xd4c4c24c, 0x564b0666, 0x3ebeda31, 0xcd0c4b5d, 0xa23797de, 0x7f62480d,
+    0x1eea905c, 0xbc58a3e4, 0x42313275, 0xcc26a8dd, 0x281d12af, 0xefce328f, 0xf22e1697, 0xcfc917c5,
+    0x9cdcf8ea, 0x85186534, 0xe05861a6, 0xcedec6a8, 0xcaccddcf, 0x4cf54f29, 0xfa37be06, 0xfef74ef0,
+    0x8c2edb93, 0xf9ebea4f, 0xe6cc33a3, 0xe6123626, 0xd44ab215, 0xb9a1e3e2, 0xca867708, 0x58363db9,
+    0x80a65de4, 0xd0ec253a, 0xb776ba32, 0xb739f45f, 0x51deb303, 0xf9c3be46, 0x23154414, 0xdf9dc36f,
+    0x6af21055, 0x9d5160af, 0x0b4647e8, 0x53ec60f3, 0x50a68f86, 0x3e887d66, 0x697250b5, 0xc56a8bc4,
+    0xfc13ae53, 0xf1b71bf0, 0xf954dc3a, 0x0d344d59, 0x0b0c369f, 0xaba80b4d, 0xd2ca5626, 0xabc39170,
+    0xe1adedd4, 0xc238b8fb, 0x56de9744, 0xc56bae2f, 0x186305fc, 0x657cee47, 0x77d62ebd, 0x3dc1c36c,
+    0x069e49e5, 0xf0b234af, 0xbbf143d9, 0xf44abe1f, 0xe3b4a8b8, 0xf17101f2, 0x85d23651, 0xe0e6a25c,
+    0xdef520a7, 0x0338edec, 0x411762f0, 0x08d5a719, 0xd74f8ac7, 0x74b84fe9, 0xa8742d45, 0x76aad199,
+    0x309717d2, 0x4fd0a6d7, 0x3383d653, 0x56e2c1a2, 0x67824048, 0x1e4ef13f, 0x8e88504c, 0xe8eb4b15,
+    0x6efc9ea1, 0x4b3c4431, 0x135a18f2, 0x587f069c, 0x0e9d693e, 0xc18104d6, 0x718e054a, 0xd2b5ab44,
+    0x07d12d52, 0xf2e9757a, 0x1feb627d, 0xbafe4910, 0x60db3bc2, 0x54a1eef8, 0x4d64337b, 0xb2211903,
+    0xa4de7e67, 0x3272466c, 0x7aca90a6, 0x42b4aa77, 0x0318c56e, 0xa94bb8c7, 0x2f6b72ef, 0x901b8536,
+    0x8e6ce1fd, 0x347b9e76, 0xf5f1f5d2, 0xbfe88104, 0x0b428d07, 0x2ae526a7, 0x237d1d72, 0xaa196c62,
+    0x24c43257, 0x7a80facb, 0xf8b5a4c2, 0x9e3efd8c, 0x22745eb2, 0xb2823215, 0x26b59b9f, 0xcb0c44cb,
+    0x2af729cf, 0x1c8ede96, 0x97b75bbf, 0x237dd90b, 0x904b4e7c, 0x37708279, 0xc08e628b, 0x1c9a8c99,
+    0x9013d9cf, 0xc1fb86d2, 0x7ddaac5d, 0xa15bc3fa, 0x6bc22193, 0x12f899fe, 0xb166f2a4, 0xa0fb9ef1,
+    0x31aa6456, 0x226573dc, 0x8755d84e, 0x9c56f2b3, 0x57c29cb0, 0x883a98ff, 0x1cc69ac7, 0xddb2f21d,
+    0xb14c2c24, 0xda9fdcdd, 0x68c291cc, 0xd7a79fb5, 0x8bb13252, 0xa7087bfc, 0x263bd179, 0xdc3e4275,
+    0x9f1377a0, 0x01794fae, 0xf29baf69, 0x79433b87, 0x1844869d, 0xd85e4bd5, 0xc18d5fe5, 0x43e58d6f,
+    0x23ed1313, 0x46d5d35e, 0x843b933f, 0x57e1346e, 0xc7fbde0d, 0x105fc3d5, 0x57cd707a, 0x3a1cdf98,
+    0xab8f78bb, 0xfa887c06, 0x2c16feef, 0xa491408c, 0xb93897dc, 0xd7a66a01, 0x78a0a335, 0xc676a221,
+    0x9d5828fc, 0x3a69a899, 0xfa95dbe3, 0x961b921d, 0x1040f10f, 0xe9609a62, 0x91367427, 0x755e43c5,
+    0xc0d225af, 0x26063273, 0x6ca9a5a4, 0xba73e230, 0x6c7da0a0, 0xa5fc9dcd, 0xb1c6cae3, 0x9343ea61,
+    0x39f71b75, 0x7ff63eb0, 0x17eaf22a, 0xa9313f2e, 0xbe013496, 0x874b3916, 0x866001f2, 0x9fe70f9f,
+    0x5446da63, 0x748e74f7, 0xf4aace3e, 0x9683dc33, 0x8bc91254, 0x81c0f896, 0xb7a8408c, 0x3f8729f2,
+    0xb73cf58d, 0x7d3892b1, 0x845b90bb, 0x111f5a22, 0x7553398e, 0x8c8268c2, 0x756250c2, 0xf96918ed,
+    0xf2548ad6, 0xa6a80f98, 0x917cbcaf, 0x8fefce81, 0xdd0f1d73, 0x8481cb28, 0xca4fedc4, 0x96bbf95b,
+    0x16023409, 0xdbda5bb5, 0x65f23758, 0x737bee97, 0x5d446659, 0xb41442a3, 0x60822626, 0x57ff41e6,
+    0x6e0617b6, 0xce4b1818, 0xbf298d6a, 0xa97aaa02, 0xe642008d, 0xc9f5c696, 0x990fdd92, 0xfd6c34b1,
+    0x7cb53b8d, 0xdda237c4, 0xe3dc2970, 0x2c0e3f11, 0x30dfd483, 0xc1271301, 0x70bdc316, 0x1676ec7c,
+    0x8a3a76bd, 0xb5592504, 0x30d44a1d, 0xd765faf4, 0xf6eaa819, 0x1488f341, 0xf05538aa, 0x3745206b,
+    0xbcbda415, 0x8a752337, 0x214047b1, 0xf50c87d3, 0xa2fef630, 0xdd60f0ae, 0xc3e4cb8f, 0x0d2cb8fa,
+    0xfceab521, 0x6a49323b, 0x9a6c23cc, 0x8f0a5b42, 0xd31414d7, 0x2342e8de, 0x146a04ae, 0xe4698adc,
+    0x0cae350c, 0xc3f0d902, 0xe52caba6, 0x8ddc9ee7, 0x0ba34a19, 0xe4b20ff9, 0x8772a6b8, 0x4a6a8e32,
+    0x72ebaa88, 0x39f54419, 0x8173b5cd, 0xa20adb90, 0x352ea342, 0x51d6ca96, 0x77337aba, 0x08b38e50,
+    0xbd9f14b9, 0xaf242ce0, 0x55e875c1, 0xd9bfe1cb, 0x932e4fbe, 0x9ae55b5f, 0xa0beae84, 0x16490153,
+    0x2e7ada83, 0xd35804f9, 0xec36acbf, 0x11253b0b, 0xc8da596a, 0x5f553535, 0x75208dd6, 0x5ac62b59,
+    0x07555958, 0x13bee54f, 0xbf850f34, 0x90dceb1e, 0x300266ef, 0x3dc06f8c, 0xce4b8c7a, 0x25479003,
+    0x78000bb1, 0x5a4e6d4e, 0x755d675f, 0xc5f26ee2, 0x4df8a642, 0xae8eb543, 0x7b0b7374, 0xeb92c265,
+    0x6aadccb2, 0x4a1eebeb, 0x65d406f2, 0x7398057e, 0x23e26827, 0x3c670e75, 0xd49c9850, 0xdc14dde4,
+    0x7427f3f0, 0x26906ba9, 0x6f37e783, 0x1fd378e8, 0xb5559944, 0x5f5c82c6, 0x5efa225c, 0xfe1378a8,
+    0x00000000,
+    0xf924afda, 0x2f346e2b, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000309485009821345068724781056 */
+  { 0x00000000,
+    0xbbdc09fb, 0x6ac3f5af, 0x2f65d2d8, 0x7cef2147, 0xa2d4d38b, 0x3dc27bad, 0xe3061e93, 0x345a1260,
+    0x32699c84, 0xebffee15, 0x4c176070, 0xc8d5dbc5, 0x8888095f, 0x835ec424, 0xc4657693, 0xca5eb7fc,
+    0xa3295f87, 0xb3d8d654, 0x1d0c2f86, 0x8e9465ec, 0x1ae77c90, 0x3cd06cb8, 0x099550d6, 0x633d05b1,
+    0x4b66edb3, 0xab8e9829, 0x61dedf6a, 0xa1650c4e, 0x4fd92704, 0xcde069a7, 0x492a60be, 0x81f45910,
+    0x456a162e, 0xfb68543a, 0x2e3637cb, 0x61c5e681, 0xfb0a7cc2, 0xdc906a75, 0xf1c360f2, 0xb0de4b9a,
+    0x998b3647, 0x9e1fced3, 0xf28fc513, 0xefab3f54, 0x624c5237, 0x0a029063, 0x786077d4, 0x8053e518,
+    0x9c16598f, 0xcb94803c, 0xbca87024, 0xe180f46f, 0xd1fa758e, 0xfbfb51f5, 0x6a708c91, 0x1c34793d,
+    0x5544c82a, 0x3bd96958, 0x07e16c9f, 0x509f28a5, 0x262563a3, 0xeb0c9d3b, 0xb719d184, 0xa8715590,
+    0x611226ef, 0xd3119719, 0x3180837f, 0xc78c8bea, 0x4ebcc70c, 0xa9cdf241, 0x3d686cad, 0xcc17eb71,
+    0x1ed97acf, 0x3737f210, 0x99fccaf9, 0x2879be5f, 0x171ba8e8, 0x5db25ab2, 0x002529dc, 0x49ed6b6e,
+    0x003f3111, 0x6bf56924, 0xe0bc5900, 0x8b892a2e, 0x54d5d581, 0xf3fa13dd, 0xa73816c2, 0xc7f912b3,
+    0x5ef060a3, 0x77f1d546, 0x3ea276a7, 0x40027264, 0xd4f4e061, 0xd215cf77, 0x3d18c3f2, 0x378e11e2,
+    0x57f07bae, 0x7c42c2cd, 0xd3f96433, 0x505ecf2a, 0xf321f386, 0xdbbea09a, 0x619c20ee, 0x8f91dc2b,
+    0x85776de8, 0x252e776c, 0x252a52fb, 0x72a07298, 0xbcbeee05, 0xc11a01b5, 0xad4d100e, 0x5af16669,
+    0x04c69574, 0x8c9d6f7e, 0x2b46a83a, 0x1355b395, 0xf76165fb, 0x14dceb69, 0x9eb5f8a9, 0xc43d5a9c,
+    0x15dea3a8, 0x455ae68f, 0xb19c7413, 0x3e701185, 0x5d9ed6cc, 0x5ebf5789, 0x1803a1fc, 0x1ec24e57,
+    0x5f084328, 0xebc00ef5, 0x0970e08b, 0xdaa137de, 0xb1163c93, 0x81a229e3, 0xa5b8b089, 0x91ca2f22,
+    0x9d3d3f45, 0x1f2c9b2c, 0xfb79736b, 0x78eaa9e4, 0x6e1ace4f, 0x725f1824, 0xbbcf5eb4, 0x1ce9156e,
+    0x050068e5, 0xe9a991be, 0xe969c8e1, 0x689e0bb8, 0xe54e55bf, 0x26c5542d, 0x0cf86c7c, 0xe2cb7e37,
+    0x90e5b3ba, 0x9ea950ce, 0xddf19532, 0x542c9136, 0x0d815def, 0x98dc93ba, 0xd55b85f2, 0xec8f3428,
+    0x16b5b0ab, 0xa6688f0e, 0x2adfa00a, 0x08062b76, 0xd3537a5e, 0x8d6e60f4, 0xd31acbf7, 0x2523afe6,
+    0xd01e36fa, 0xb7eb7a12, 0x08db88c5, 0x2bf131da, 0xc3ff721d, 0x480ec430, 0x51b2dc6b, 0xa9036b07,
+    0x6360dcb5, 0xa61fb147, 0x30081f6d, 0x61744e25, 0xd5bfdc51, 0x93d8f1bd, 0xe40279ee, 0x53eccb48,
+    0x8141a20e, 0x69a49118, 0x1b1c0147, 0x49905631, 0x00d353e5, 0xbc62bbac, 0x9a0f3d40, 0xc6912d99,
+    0x783b9d30, 0x2cbb58c8, 0x67f828b3, 0x19923c8f, 0x89daf3da, 0x275deb84, 0xfc2b2666, 0xc5986004,
+    0x3e12d69c, 0x3bd6995a, 0xe4aaf223, 0x1fe6fc75, 0x07850fcd, 0xe6299ff2, 0xb67469e3, 0xcb0bfda1,
+    0x49001a39, 0xe28f4747, 0xfb605d6b, 0x47d12fb7, 0x50cca2cb, 0xa717e9ae, 0x2ce76f0d, 0xa28288a8,
+    0x063006bd, 0x68e5bddf, 0xe27e9824, 0xf3aefda7, 0x79fb8421, 0x084d5f13, 0x34ab59cf, 0xf2d9d489,
+    0x5ca7b088, 0x8a2ad628, 0xb44ee2c8, 0xb300dab5, 0xd0cac08f, 0x4d7c837c, 0xee9bd15e, 0x9fee03a5,
+    0x7ee3dbbd, 0xaec54977, 0x8a10aa45, 0xd763f3fc, 0x94d5e09d, 0xa2dd7de8, 0x54a7b225, 0xdbf4e676,
+    0xd148fde0, 0x70031891, 0xf2158533, 0x94185932, 0xf29d6905, 0x7cc1e3f9, 0x1aee9bdb, 0xc8103a7c,
+    0x93c39b27, 0xeb3bb56b, 0xa2bc6c8f, 0x92c2c930, 0x14ed6a79, 0x81c6bc86, 0x0b6de7b5, 0x04f4ae3c,
+    0x769309e9, 0xa854e5e7, 0xeab1b974, 0x41805605, 0x08d014b6, 0xb9afb771, 0x911da9b9, 0xdc415a9e,
+    0x96bbc333, 0x5fdc0e57, 0x32692c0a, 0xfb0bdaa1, 0x67a4ceb6, 0x131753ef, 0x825eb91c, 0xd41c26a2,
+    0x7d8250b5, 0x3a69bd65, 0x0d8d7d3b, 0xd6ef458c, 0x4f182479, 0x784dbc21, 0x601ae11b, 0x38dafddb,
+    0x353dc523, 0xfaae859e, 0x3291874f, 0x9f574a22, 0x3ad4341d, 0x5e44c1a4, 0x56667f7a, 0xb5d80760,
+    0xaac415d0, 0x66cf1266, 0x2f5e5141, 0x32969b26, 0x18c627d6, 0xb8438ecd, 0x1fdc9dc2, 0xc049dca2,
+    0x33c6bbc3, 0xd4f28dab, 0x716105a8, 0x8cb5dcfe, 0xeeeaabd0, 0xffc398fe, 0xc3b126f2, 0x3ac42771,
+    0x1280122d, 0x3843f4e5, 0xd969e976, 0x0c38a7a9, 0x2980ef7c, 0x3af37b2b, 0x11382f34, 0x13264e54,
+    0x13301e00, 0x99b23cb7, 0xb3b61472, 0x11a33901, 0xfa43a399, 0x2437d952, 0xc722f3e5, 0xfcf47276,
+    0x27bb59e5, 0x0ae51b24, 0x548d5860, 0x622b01ae, 0x0c82fa6b, 0x3a1a148a, 0xefff2098, 0x26461cb8,
+    0xd8f8bb66, 0x59ec18b9, 0x69531666, 0x6ace7e8d, 0xd6482173, 0x62297f49, 0x26049518, 0xfdb4a92f,
+    0x58826588, 0x90fc08e0, 0xe8b4d838, 0x9b7274ed, 0x52fd13f4, 0x9f751bc5, 0x98728006, 0x6e2aee12,
+    0x47666a38, 0x5c1f1a50, 0xcd4d7265, 0x23148803, 0x523a8650, 0x01dad151, 0x52a13b66, 0x87c57d23,
+    0x6f6bfe81, 0x35920bd7, 0xa620e6fb, 0x03bdb0f0, 0x4ad527c6, 0xcc7c8847, 0xe4d8a431, 0x4cd5263b,
+    0xb1541fc2, 0xeeb77904, 0x875996ae, 0x06a0d4e0, 0x66041d1a, 0x9c855aa4, 0xd56828b6, 0x41436ecc,
+    0xe334d3f7, 0x20720936, 0xd4fd382a, 0xee19eea9, 0x09fd6a09, 0x51b6c0ab, 0x91beccef, 0xc2c8ac90,
+    0x1004a850, 0xfdc9101f, 0x85e0d2a9, 0x21ff5ee4, 0x55eb7b2d, 0x833c9876, 0x9e121064, 0x7e56d5db,
+    0xc51739d9, 0xc95bd374, 0x1db6f53e, 0x107d846d, 0xaead4673, 0xa78392ac, 0x43a489ed, 0xb6c97852,
+    0x2c7f2d2d, 0x8490ae9b, 0x63fae245, 0xed128987, 0x44d50eaa, 0x4334d4bd, 0xecdb88d1, 0x196afdce,
+    0x616ecb3b, 0x7e67ef60, 0x8fac2164, 0x02b706a3, 0xba78b3e0, 0xc7770934, 0x2334913e, 0x423ace11,
+    0x58fc3fec, 0x519b821c, 0x761cf7a4, 0x78ee760b, 0x744ed487, 0x83a63475, 0x25cfd706, 0xa294bf09,
+    0x97a1e9ba, 0xbcc7d301, 0xa90a212a, 0x3432c8d3, 0xd7daba18, 0x1f104d16, 0xead1987e, 0x6c0d569f,
+    0x91f760fa, 0x3af78926, 0x2781c070, 0xf905408c, 0x341e7ff3, 0x3ca9d9f6, 0xaa364878, 0xf55e7627,
+    0xe846baf6, 0x71f5f013, 0xf9835bbb, 0x7faac237, 0x4363b680, 0x8cd333b6, 0x97171034, 0x9ccf7320,
+    0x22d1e232, 0xb014d52d, 0x2a285849, 0x4457606b, 0x0b2a6960, 0xddd890d0, 0xc6c7b0f9, 0x5c8e3cc6,
+    0x542bbfd2, 0x98d4a1c8, 0xeb73cabb, 0x193afebe, 0x1ba9048c, 0x1e5ba9d6, 0x8e233407, 0xec45495b,
+    0x3a93a8f3, 0xee93ac20, 0x0983ad31, 0x4a172685, 0x637034ac, 0xd5cf1ac1, 0x5759f2f8, 0xd595c912,
+    0x3f63666a, 0x5db1a808, 0x7bd8d853, 0x679d0d53, 0x80d3a828, 0x2b3393e9, 0x6517f9b6, 0x62ea6d51,
+    0x10714f95, 0x32236569, 0xc0be03d3, 0x8ea2563a, 0x51517b77, 0xb6c35c28, 0x37a3c725, 0x460b7d1f,
+    0x25f219f4, 0x9f8b792b, 0xd8bc46d2, 0x7425a42d, 0x06ecdf33, 0xc326e51d, 0xf46e0dea, 0x5739477e,
+    0x74277536, 0x9bf71c6e, 0x7257ad1f, 0x0e547cc6, 0xa0b0a7fa, 0x13766253, 0x24cfc4ad, 0x46f58fec,
+    0x61e58b45, 0xfc7f462b, 0x138d3921, 0xed3940bb, 0x282abd3d, 0xc1e13e8c, 0x13ff9da1, 0xbd6407b6,
+    0xc8aa48f8, 0x0f4dd76b, 0xc3c7f555, 0xf2232736, 0x2b018bb2, 0x7ff03f21, 0x85228974, 0x1a4731d1,
+    0x276e57d3, 0x5a5e1772, 0xeda193c6, 0x683aa3ed, 0xd8691a18, 0x3c938d3c, 0xe28f6474, 0x49bd5472,
+    0x94468123, 0xa9f9c055, 0xed8804fb, 0xbec32383, 0x0b80e100, 0x494435ca, 0x8f1bd017, 0x3083c2f7,
+    0x0d3a405b, 0xe0d14a1a, 0x55450204, 0x824797db, 0x2593b289, 0xe13a55d0, 0xb6dd2137, 0x97141fcf,
+    0x71ac1fb4, 0xbbf8599a, 0xf16ff008, 0xfd401c8d, 0xb76cbf23, 0xc454946b, 0xdb347c9b, 0xea2bc05e,
+    0xef39263b, 0x910addfd, 0x7707778d, 0xac819e20, 0xad6647fe, 0x6714cd6f, 0x0c0c8b60, 0x1124d3b7,
+    0x1cb7630f, 0xbf4c1dba, 0x0a73a1b4, 0xa48fe726, 0x8f6df13a, 0x1bb97585, 0xce99f803, 0x506db12a,
+    0x8fa77343, 0xe944efac, 0x4c52eb60, 0xa7846f28, 0x6bde3f0f, 0x335d5858, 0xb91a6bdc, 0xc1af2b70,
+    0xfb0d82a0, 0x28f27750, 0xe54a28ad, 0x2562c4af, 0x9c350b63, 0x820cdaa7, 0x7564784d, 0x29177d01,
+    0xc095caa4, 0x8c8d9049, 0x4cc18447, 0x283f1c79, 0x93e1e808, 0x0cf23558, 0xe8513f22, 0xc23cde55,
+    0xbaaa7241, 0x151a9eb0, 0x821981f7, 0xe8960052, 0xab4ce1aa, 0x66fa86d7, 0x0afe8340, 0x43cd63f8,
+    0xa8535ccc, 0x192c4682, 0x27a5c3c6, 0xe08eeceb, 0x2d0e0236, 0xe8cb1923, 0xf4c2a9da, 0x496d5a43,
+    0x1e9fbbb9, 0xf831d992, 0xb1be5612, 0xb02c4f66, 0xe700707a, 0xc0e737f4, 0x33f788f1, 0x00e21036,
+    0x2f931155, 0x0ddd77fc, 0xfe9b1ac8, 0xe002455d, 0x51858c79, 0x8605c0a8, 0xe55c22fc, 0x63706791,
+    0x4b124be5, 0x02b86bcb, 0x61074f07, 0x3c7187a3, 0x4c5df93c, 0xfe8a31f8, 0xa199fdce, 0xff0a3b57,
+    0xa5496f0c, 0x5e72610e, 0xea7f2958, 0xdb551a4b, 0x7ce69674, 0x590dc7df, 0x05c61f9b, 0xd0be50a1,
+    0x44c36542, 0xe372ed6c, 0x85249042, 0xc2fb9b1f, 0xd15f8e8f, 0x6abf50bf, 0xe0fa9a68, 0x827335c4,
+    0x116b2c93, 0x947e7159, 0x3fc11650, 0xa5e782e2, 0xed13b9de, 0x23606dcc, 0xc5486ee3, 0x83a1121b,
+    0x7edfd8aa, 0xb3d7a6ff, 0xf9904871, 0x92ef7c47, 0xc6633f41, 0x8a90dead, 0xd7d70e1d, 0x535938c2,
+    0xf94931ac, 0x1d2b1769, 0xb4c205cd, 0x4a4339f2, 0x9b8e6ead, 0x78444f3f, 0xf29f9c2c, 0xb98d273c,
+    0x37e2bd66, 0xfc49d9be, 0xeb108a3e, 0xe8cddc7e, 0x1a613da0, 0x43751738, 0xb477d389, 0x7afbfbc9,
+    0x65c761d8, 0xfa9e1dd6, 0xb3a0e804, 0x8174ab55, 0x29b2d0a2, 0x5f914ac2, 0xa7101941, 0xd33e954e,
+    0x881d4904, 0x577e2c34, 0x8f2478ee, 0xe45411bf, 0x23b5aaa0, 0xe5184bc4, 0x25e530d7, 0x685c2dd2,
+    0x8b51a0bb, 0x210021eb, 0x18a07d87, 0x6d1637b6, 0x9b73684f, 0x2410a8a9, 0x5a9688fa, 0xd66be3da,
+    0x33f953b1, 0x18fdfc7c, 0xc463b145, 0x20c43ce4, 0xafd03b05, 0xd51affce, 0x77030874, 0x7b24abd0,
+    0x87bf0e61, 0x8ec4e892, 0x78a8e9c8, 0xf20c104d, 0xde5a51c9, 0x4cebd8a4, 0x12c25f80, 0xc66c5a5b,
+    0x2606ee1f, 0x219b95e7, 0x780bc284, 0x417bc85f, 0x1cb04f78, 0x6df131a8, 0x7f3d39c1, 0xc92a40e4,
+    0xf7a4792a, 0x3ef6bb0f, 0x51ecb8fc, 0x69ce41fd, 0x63eb5fc8, 0x15f5f1dd, 0x3a1cdaa6, 0xf1b5bbbe,
+    0x5565cfe7, 0x3053d3bb, 0x55d84426, 0x903495d2, 0xe0b128f1, 0x5e22824a, 0x5ee442ab, 0x07dc7ba0,
+    0xee9996e3, 0x19d67fe4, 0x31d30249, 0xacce2ddd, 0x13b92e64, 0xf3fc0631, 0x5abb3d92, 0x1981e442,
+    0xdae4b9c7, 0x26ff3d4a, 0x1cf819b4, 0x216ebbf8, 0xd47dc272, 0xc7d80ef9, 0x0c808ec9, 0x682433ff,
+    0x54fc7408, 0x699b40ee, 0xb25b70ae, 0x81b07e51, 0x59fcddf6, 0x422307f3, 0x6ef8e9e2, 0x345f3841,
+    0xd4d0e2df, 0x548fe45c, 0xd9589791, 0x0efe9f3b, 0x63991ffb, 0x88965c40, 0x301e5b45, 0xc7d081db,
+    0xe3cc6a35, 0x18fcec3b, 0xa172d247, 0x08cdbf18, 0xf232c4bd, 0x609abd08, 0x56710f0e, 0x517bd379,
+    0x40e17c18, 0x6e2e2512, 0x8b2ba63f, 0x9f7ed25c, 0xaa22488d, 0xb774ec32, 0x85826f65, 0xe958237f,
+    0x6d7b9f44, 0x83ba7ce4, 0x4dc3f61b, 0x39cc08d8, 0x2a11549d, 0xd489b433, 0xdacabf21, 0x6d6b3666,
+    0x83fcab91, 0x723507ad, 0xeee8c199, 0xfefd59e7, 0xbd214327, 0x4bb559bd, 0xfd642b66, 0x8cec310b,
+    0x3174b254, 0xc94df2dd, 0x2a42333c, 0x7562a972, 0xa0ee828a, 0xd969de01, 0x1702a470, 0xaf77ed20,
+    0x7486b75c, 0xe69ddb7e, 0xf698f675, 0x8ca9d131, 0x4a5b6629, 0xada29642, 0xc91f83ed, 0xfb50fa0c,
+    0x30799f83, 0x1e384bf4, 0x12e38878, 0x5e704bbd, 0xa37fee08, 0x4f154079, 0x7976b5f1, 0x6e637e4c,
+    0x64fbb843, 0xdad11364, 0xd23bc881, 0x0316d7cf, 0x18a216fa, 0xa0d261c2, 0x033b64da, 0xc12c0cb9,
+    0xcac66588, 0xee7e053e, 0xf82804b7, 0x9d2b6fe7, 0x4e60b31d, 0x8a448469, 0xdc72b503, 0xa8914afd,
+    0x09f3a0ab, 0x23ad7b85, 0x2d4711c8, 0xe7f0e5b0, 0x6fef9708, 0x3aa6fc36, 0x9fabcad4, 0x495875d5,
+    0x2c787f1a, 0xd6e9122a, 0xcdbc4141, 0x142f3976, 0x4fe127f7, 0x4f7881dd, 0xaf8e2fec, 0xfce26533,
+    0xd0ccc1ed, 0x6676fc77, 0xde57afdb, 0x13cee92a, 0xf2cc3a2e, 0xb3fc71c3, 0xbf99cf27, 0xfc295ff2,
+    0x909902ba, 0xb697e663, 0x68096b01, 0x60e464ed, 0x9c9de161, 0x10b954e1, 0xbd9dcc3e, 0x24ef46ae,
+    0x5267aa93, 0xfa680cfe, 0xf0321df8, 0x7797dc63, 0xcf974ae8, 0xdc358610, 0xf27cfac8, 0xa2177bf6,
+    0x0ae22665, 0xc5920d5e, 0xa9f9228a, 0xa2fdf0a9, 0x66758061, 0x3c106f34, 0x514ad05e, 0xf3b94a5e,
+    0xff4a3574, 0x4002979a, 0xdd97558a, 0xe7f00444, 0x50fd6ff3, 0x06f3599f, 0x2a93ba2e, 0xd3a918e3,
+    0x3219639d, 0x9a7ae523, 0xcdaeda97, 0x788f862e, 0x69272cef, 0x39e7d717, 0x6ff7e47e, 0xbe78c12a,
+    0x784a03d2, 0x31ca8654, 0xb1af3b09, 0x5367b9ab, 0x669460c8, 0xb87fff31, 0xa2cbeb34, 0xc8952414,
+    0x6496f85d, 0xbb191aa6, 0x27c4f807, 0x9b86ca92, 0x78fe9393, 0xe0f4ed01, 0xda68689a, 0x23206262,
+    0xf3e32312, 0x82ac8ca2, 0x13a6293a, 0x3c0332d0, 0xae4c3b95, 0xfb7a1f61, 0x08f35c12, 0x3b319042,
+    0xf2654b38, 0x7c0b086f, 0x98f5fe23, 0x8373033f, 0x37821f17, 0xfe61d2fd, 0x7d97f4f1, 0x377dcd99,
+    0x424391da, 0xb9616ce0, 0x49858a06, 0x3eca7245, 0xf36ba4a9, 0xc842d746, 0xa964d162, 0x337f9a5e,
+    0x3a6fb1a8, 0x4af08a36, 0x5c88fd7c, 0xc1c66eab, 0x73cbc7fa, 0x44d142ac, 0xfbbc9e62, 0x2f4aa413,
+    0xb76f6879, 0x0e6c14f0, 0x5470238f, 0xa13589d3, 0x51690e20, 0xa387e670, 0x979789e5, 0x1eb224dd,
+    0xc853ed95, 0x90bd4433, 0xf1b7480b, 0x81981006, 0xa6982876, 0xe944a06f, 0x282e6335, 0x4f1c53c7,
+    0x8f0f4c27, 0x9d26d221, 0x933704c3, 0xfb4a9559, 0x692f3711, 0x999ca503, 0xa00f6911, 0x3d3a2279,
+    0x6198a6f0, 0x3d18510a, 0xca954aab, 0x4bf0d982, 0x003999d2, 0xdf2d331e, 0xea660f9b, 0xac8843df,
+    0x0449a45a, 0xc01d469a, 0xcd806208, 0xfd8c4b5b, 0x4a562a4a, 0x5033849c, 0xed324771, 0x96ff5201,
+    0x2bec3344, 0xeb75721a, 0x0bd312c5, 0x4bfe4a84, 0xe32739d1, 0xab09acc6, 0x342e8170, 0x82536ebe,
+    0x7ac4f552, 0x33134316, 0x48748b20, 0x048ce5fa, 0x85235999, 0xc53a6956, 0xa3d2b76c, 0xff09456e,
+    0x00000000,
+    0xfc9257ec, 0x979a3715, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000154742504910672534362390528 */
+  { 0x00000000,
+    0xbb62e24e, 0xeabbea24, 0xd27aedc1, 0x6ed6cb9c, 0xa140a415, 0x9135228c, 0xa4de401b, 0x325c1687,
+    0x5ec826d7, 0xbe73cfc6, 0x9b2df266, 0x5f77d3c4, 0xe7ff9218, 0x073c4b60, 0x08d0b5db, 0x182a4907,
+    0xc8d415ff, 0x94c7aa21, 0x787f35ba, 0xf23760f4, 0x4d7b1a76, 0xda6fc856, 0xf8353dfe, 0x48e88e7d,
+    0x132e1eb6, 0x1601547d, 0x3edb4d5d, 0x5609b6c0, 0xcabb19c7, 0x106bc6db, 0x69090b22, 0xd6ff0ab0,
+    0x3f8807cf, 0xfdb0eec1, 0x8d879b75, 0x68f21cd5, 0xb2e5a8cd, 0x21d83cca, 0xa8fe2e94, 0x38e3f3b2,
+    0xb0157242, 0x45f480b2, 0x24412b0b, 0xffe57eec, 0x7a3eefb2, 0x5e0bac15, 0x5c4c8dfd, 0xb4eecd1c,
+    0x1080ce0b, 0x41601bb9, 0xf81732a8, 0x34adda99, 0xa57ec92c, 0xefa3d576, 0x55db5d1b, 0x7cd9892e,
+    0x188c616f, 0x30c12fd6, 0x72397460, 0x42724b4b, 0xbb853f75, 0xf8cb5843, 0x739a486d, 0x20b53b0c,
+    0x354b1230, 0xed1f848c, 0xbe507abf, 0x16aa9e7a, 0x592a71a5, 0xcf66d927, 0xf71d21c0, 0xbf9daef5,
+    0x5674000d, 0x04f2f656, 0xa2f64498, 0x39052213, 0x435afb45, 0xe56c1532, 0x1138cc5d, 0x618e902c,
+    0x3ce2fb3e, 0x3d1dc06e, 0xec89fc7f, 0x9fb412c0, 0x6ce613af, 0x2c1f3881, 0x2070cb8e, 0x643a1cc6,
+    0x3f82828f, 0x18fd9199, 0x33244be9, 0xc22e2631, 0x98d6bf28, 0xb297ed7a, 0xe7d6110d, 0x7d68f789,
+    0xde0805eb, 0x5be20846, 0x4a1cac09, 0xa0ea0d54, 0xcbf10cd3, 0x6ed27a8e, 0xd29806c0, 0x8e87b3a4,
+    0x63a17594, 0xe32d426d, 0x9f22cb6a, 0xb90c6112, 0x1db1bd5c, 0x905f6ca2, 0x02879fc1, 0xecf81a09,
+    0x8772749d, 0x078638d0, 0x377e871c, 0xfd9e2c4c, 0x94aef0ca, 0xc6f8b086, 0x437969f9, 0xee0d21b6,
+    0xc0af7cdc, 0xd99bded9, 0x065e1bd0, 0x3c913b7e, 0x763ad8dc, 0x910f78ff, 0x9fa75044, 0x4e5fa22c,
+    0x9437b11e, 0xd1129499, 0xd8f10176, 0xecf84a30, 0xf32cc76b, 0x0b58103a, 0x579bff0e, 0x5b5f5856,
+    0x5edcd134, 0x5ad0493f, 0x1fde6528, 0xa19e26e7, 0x32d0b966, 0xe99adaca, 0xef73148e, 0x635f31bf,
+    0x937ba94d, 0x1898662b, 0xca439822, 0x06d5c4dd, 0x8fdce808, 0x864bc701, 0x81474dfc, 0x21bf51bf,
+    0x66677290, 0x901d34ef, 0x09d4f275, 0x3b868bd4, 0x851e9527, 0x43797b7d, 0x9849c461, 0x7b4f3783,
+    0xa05b26ee, 0x72ce768c, 0x34611081, 0xbaa80433, 0xaff2bbe9, 0x324671ea, 0xb0cee22f, 0x0f8aa6e6,
+    0x51ab352f, 0x75e3eab9, 0x49702ae4, 0x636019ce, 0x87f5781d, 0x7d214317, 0xa5db04dd, 0x24f7942d,
+    0x6e238fd3, 0x2b8e40b1, 0xe621ca73, 0x49643c66, 0xa8ac534c, 0x6e50625a, 0xa0440a7f, 0x294b9e01,
+    0x6deac089, 0xa685edeb, 0x67fc5eac, 0xe22f6d4e, 0x25d9f65c, 0xb2182b63, 0x3656bc6a, 0xf87ab972,
+    0xe859686b, 0x796c9563, 0x08619153, 0x2eecd767, 0xfcccc12a, 0x22e5821d, 0xe5eb9636, 0x93da9d27,
+    0xc4201b6a, 0xc9ddae99, 0xc08857e1, 0x6fa7ab09, 0xad1ce5a8, 0xaf75c384, 0xf5376da9, 0xc2959414,
+    0xf4bfc476, 0x0de0aafe, 0x67ba328e, 0x23df1ade, 0x9b6d3e0e, 0x51dc0586, 0x857a8dde, 0x47ac51ae,
+    0xa76a174f, 0x3101b67f, 0x93bba52c, 0xd9fc461b, 0x4c8a67d9, 0x8cb666b9, 0x17b7fc06, 0xa5d4a4d4,
+    0x961059ef, 0xbd8ad60f, 0x5ac8cf87, 0xb1f5a9f4, 0xabff1e9e, 0x033c60f5, 0x2d3970bb, 0xde064390,
+    0x7c861dd7, 0xbf118d36, 0x6b6ebc75, 0x0b76ab38, 0xf5eb6eaa, 0x34602af0, 0xfdae66c9, 0xc8de7cbd,
+    0x34d38bd8, 0x4b05f899, 0x64d977d8, 0x89abf3f2, 0xddffb84e, 0x7c5be63a, 0xe7080e69, 0xfa42c223,
+    0x3bd65cd9, 0x529ae9b6, 0x1685e271, 0xdd68633e, 0x9cd0be9c, 0x189b5b3e, 0x88eb48cf, 0x9da60fe3,
+    0xba0da4f6, 0x5ee3188d, 0x00c9a9c7, 0x77d4b034, 0x4d46628f, 0xd2b5e684, 0x966954cb, 0x575b6a87,
+    0x5a70d426, 0x2a724a96, 0x0acc4177, 0x7bbf6f67, 0xf6109f7b, 0xad654069, 0x224cb393, 0xd2e788c2,
+    0x3c7d6968, 0x96e920b0, 0x0caef61f, 0x1f878d6d, 0xf313687c, 0x7857293b, 0x6f5c9da9, 0xebfbcce9,
+    0x956ba59a, 0x02037ac6, 0xe795a298, 0xdc1911e8, 0x436f67d7, 0x2ac695e5, 0xd6f4440a, 0xb254fcbe,
+    0x8ea2c457, 0x255293d0, 0x5d8cd521, 0x31749510, 0x6b273929, 0x81f9c6c9, 0xcaa6feb7, 0x45d72087,
+    0xb2c84ec3, 0x46ce4b41, 0x9c9de5af, 0x6a36aad8, 0x0859727d, 0x23b4b867, 0x38186e14, 0x63e49745,
+    0x5e597dd0, 0xb043c8da, 0xc902dcdb, 0x5c239070, 0x58f72f8f, 0xd6c97678, 0xf6f60c6f, 0x7fd0eac6,
+    0x5c9a5e46, 0x1c9b6b5b, 0x778a98f6, 0xe3bd783b, 0x3c6f7e66, 0x62226b97, 0x7a9e004f, 0xa9059b5a,
+    0xd05b3dcb, 0x3b8ff333, 0x1f51daff, 0xe54e77d7, 0x04db9cd8, 0xae1a4745, 0x6819a7f1, 0xbea041c2,
+    0x61095d80, 0x5ae0072c, 0x3edf68c7, 0x73e9711b, 0xb526aea9, 0x73ea7170, 0xe3aaab09, 0xbf0274d6,
+    0xadf3f03e, 0xc0833421, 0x64149b97, 0xc5539a4b, 0xa31f7053, 0x48b301e7, 0x30c457b9, 0x10ec2324,
+    0xe03c0b93, 0x1fce1f13, 0x66eda46c, 0x8635bb8f, 0x79b158de, 0x60c6e49d, 0xe5a587c6, 0x635fb335,
+    0x25f4b63d, 0x74245c06, 0xced5210a, 0xc279380d, 0xa58d111f, 0x143230f6, 0x1f135c4f, 0xc6d3c7c6,
+    0xe948d862, 0xa191d403, 0x9a979786, 0x2c450de5, 0xc24e96e5, 0x27cfe51c, 0xee3d423a, 0x9130bebb,
+    0x2c4ed7e3, 0x5012ba84, 0xb4147543, 0x5c432b37, 0xd3d1c729, 0xb9013bad, 0x1b4d3d5c, 0xb59310d4,
+    0xce301f89, 0x51e41a8e, 0x815a566f, 0xc4024b0a, 0x4adf00f2, 0x9c37f9a1, 0xbd431571, 0x784e3aa6,
+    0x1705426d, 0xd7ed5853, 0xc0e65de7, 0xaffd8f62, 0x17082fa6, 0xb25f10de, 0xd8aea122, 0x1de20a49,
+    0xa759e879, 0x78709d65, 0xaa26d42d, 0xdb91d9c9, 0xd406d1b1, 0x16e3af20, 0x9b1d619f, 0xb97ed39d,
+    0x59c620ee, 0x7ce331f7, 0xd193920e, 0x4c975fa2, 0x2aceda57, 0x9ee84866, 0xfc87ddef, 0xc45982c7,
+    0xccbed8d2, 0x8a7d3ccd, 0x6a3b6b71, 0xee40a7ab, 0xb0ca46c4, 0xeaff45cd, 0xf10ae450, 0x3fe98938,
+    0x300868ab, 0x81870a8c, 0xb58b6935, 0x2f03e14f, 0x891ba6c4, 0x71ffdcc9, 0xdf0bed83, 0x267cc6b4,
+    0x189badfb, 0x3b228278, 0xa31de31b, 0x98270ec2, 0x7d81cfc3, 0x9444d4d5, 0x6c043bd6, 0x7b70f941,
+    0xfc1150a1, 0x40bbbfe5, 0x30ff31ac, 0x7256b8e9, 0x2a002178, 0xb85f40b4, 0x5d516a7f, 0x7c7242ad,
+    0x519192ee, 0x4594150e, 0xd9ff976b, 0xa65958db, 0xf6632cf3, 0x59ea6270, 0xf3a93392, 0x902855a4,
+    0x289cb80b, 0x7f1a44ba, 0x13e8c88f, 0x98f2cb73, 0x823fe81d, 0xcc678833, 0x6b55e4b2, 0x5484cb76,
+    0xa306a220, 0x0488c181, 0xb7d6f2f6, 0x40ebcddb, 0xcfee45f8, 0x485abdc2, 0x9a2cb5cc, 0x91202ba5,
+    0xc413c969, 0x3b87bfff, 0x1847ce3f, 0x7bfefb05, 0x382caa9a, 0xb8ee8578, 0xe63cfeb3, 0x80a144fb,
+    0xc20316ee, 0x5812e727, 0x1888660a, 0x444aac42, 0xa473d08e, 0xb42b794e, 0xde264125, 0x8aeba500,
+    0x3e196b97, 0xb04e600d, 0xb92f107f, 0x1d2b847a, 0xa4429af7, 0x4dcb52b9, 0xda9975e7, 0xdb2611c9,
+    0xa6cf5a59, 0xa01926d5, 0x70e54fb4, 0xc8d165d3, 0xec79ab7b, 0xf5be6ac0, 0x853e6f11, 0x7de7415d,
+    0x2fa62033, 0x564c4d6c, 0xa8bcfbe9, 0xf3e9c530, 0x197cf8d8, 0x98335b80, 0xc816a834, 0x35892668,
+    0xe8b1f24a, 0x2fb6472a, 0xc49fd96f, 0xa237b536, 0x6b4ce8e2, 0x254a01ef, 0x6f62011a, 0x6ae9d6e5,
+    0x1e4986c6, 0x8a61bc0b, 0x40f92035, 0xe460d0b4, 0x9a29343d, 0x91e53047, 0xa6e9f5ef, 0x57c6ecb0,
+    0xa37c5da1, 0xafb2b3c2, 0x459b2326, 0x67a3d2d4, 0xd21fde4a, 0xf68be825, 0xf0c45006, 0xb06f9f16,
+    0xad03e925, 0x8d665de8, 0x229da318, 0xc4245869, 0x4af19634, 0x12ac6ced, 0xe421a5c9, 0xbc63c0db,
+    0x7c7742d7, 0x62b5cac4, 0x8163ec4e, 0x10d27511, 0xd5689e58, 0xbbd96c71, 0xdb7cd03a, 0xcbba50e1,
+    0x895d5115, 0x792a1a77, 0x779fbe98, 0xa85243b3, 0xfc712afc, 0x53222d21, 0x875691be, 0x6708e694,
+    0x1a78592a, 0x3f521c86, 0x3cfde747, 0x01c22374, 0xc4f4b53c, 0x5e693530, 0xf5a13988, 0x9d870a99,
+    0xa1a6b5a8, 0xdc123615, 0xc8faba19, 0xf3dfc9d2, 0xfb114d97, 0x802a0227, 0x379cb81b, 0xda462fa7,
+    0x64ff01af, 0x8639f25a, 0xaf3a1684, 0x27567edb, 0x8dfad756, 0x406b34e1, 0xd6e2ff7f, 0x6d130f21,
+    0x3f5c92e9, 0x9731dca2, 0x81395c0d, 0xb3b86c0e, 0x0f2130c2, 0xd3cf93da, 0x2377c940, 0x6d958176,
+    0x60de82b4, 0x2c66cbc9, 0x8732771a, 0x599eae85, 0x51daad3a, 0x84b086b3, 0x4226e0d5, 0xfc33374a,
+    0x40b8ec36, 0x5af97e3d, 0x67361a98, 0x8ff339d7, 0xe35aa11a, 0x0f6a5830, 0xb3cd02b4, 0x3420850d,
+    0x47c727cd, 0xa76b44ae, 0x374fc563, 0xfcdbef97, 0x319a480c, 0x11c694ed, 0xce22e6bd, 0xc4de9d89,
+    0x875b7919, 0x95a8a235, 0xa7d9b26b, 0x7f18f306, 0xe5796ae7, 0x7e194632, 0x0176d22d, 0x680124dc,
+    0x95381238, 0x85795223, 0x1f6e20db, 0x6bc233e6, 0xb900a872, 0x858ad400, 0xe827534f, 0x613715c0,
+    0xe38df024, 0x77861294, 0x166fd445, 0xbe0026ff, 0x9922c282, 0xe951abce, 0x47b647ff, 0x1a1c74c0,
+    0xbcda30d1, 0xf917c33e, 0x2314ed40, 0x7671834b, 0xc3c78977, 0x03d6db3f, 0x81e9e3a3, 0xcb7a5735,
+    0x2d6f3904, 0xacae7c61, 0x1cbdbfcf, 0x7fee7a87, 0xef6a478e, 0x682ab7b2, 0x56bf3afb, 0xfffe8944,
+    0x70d185e0, 0x15e406a2, 0xcf3c5be3, 0xd42ff6d0, 0x441c8636, 0xf945d259, 0x8efadb2e, 0x7fefea8c,
+    0x4003937d, 0x0055fe1a, 0x50e67365, 0x423f436d, 0x4eded57e, 0x2f255f61, 0x775a692f, 0xb80bdb84,
+    0x9c5612dd, 0x4c979dbd, 0x512b1d5b, 0x9b3e85ca, 0x655416b8, 0xd50ad9b8, 0xfb5182d4, 0xfb705610,
+    0x037feda6, 0xb6798b1d, 0xa5601615, 0xc9e5d3ec, 0x465d872e, 0x02f157ba, 0x3f4a046a, 0xeffed194,
+    0x860d5aa9, 0x986dd129, 0x69215515, 0x47d9609b, 0x0c0585c4, 0x8db82020, 0x392e6499, 0xfa4de5c9,
+    0xc197d6e4, 0xfee04fb8, 0xf8999945, 0xe1ad09b5, 0x19fa37e1, 0x4a32065e, 0xd87dfa12, 0x3952ddb0,
+    0x0d0fcc10, 0xb0750953, 0x0dd2950c, 0xd28e7048, 0xa340c490, 0x9acb1c3b, 0x972a84c1, 0xca211000,
+    0xc9210076, 0xa2aa90ba, 0x0f3ca3e2, 0x2c8b42ed, 0x02078e4e, 0x6f70ef5a, 0x1b465ae3, 0x24227e85,
+    0x7e4d5797, 0x4670dee9, 0x230ea0f4, 0x3c13d750, 0x6e7d7d6b, 0x838d9701, 0x28a5a036, 0x1f270122,
+    0x426e8914, 0x45a0fc84, 0x62452644, 0x3a8a8105, 0xd78709b2, 0x67660cab, 0xb4a5c8a8, 0x2ed4e038,
+    0xe1baee22, 0x66aee1c8, 0x9057798d, 0x9d8d2fee, 0x15d48b26, 0xd629530a, 0xdefdeadf, 0x2b4a5af6,
+    0x505631e7, 0x6160d8fe, 0x64cd815b, 0x38699131, 0x400c3329, 0xd99cc7d4, 0xd4f3d122, 0x218b7fcb,
+    0x5233b740, 0x6a351bd9, 0xe07392f9, 0xe30f9b70, 0xb36c5d8a, 0xe8c41bc4, 0xb3d2dc6e, 0x9dc4bc15,
+    0x164421b7, 0xc3ddf8b0, 0x9bc32665, 0xee6bb635, 0x955be550, 0x85591e51, 0xafd60bb6, 0xbdf73e71,
+    0x0e021be7, 0xf88861fb, 0x68ad5e64, 0xfaaf261f, 0xfe0f6f2d, 0x44482b58, 0x3bf40474, 0x2d910fa5,
+    0xf55d5cfe, 0xb6651b1f, 0xb0824a98, 0x00457ed7, 0x7464f9dd, 0x93cacdde, 0x075951b2, 0xd20c6f84,
+    0x9bd6f34e, 0x08181d78, 0x16e2d8c9, 0x45c440bb, 0x12bb9a47, 0xdea3347d, 0x6e12e6e8, 0xb676f469,
+    0xcc15c979, 0x030d3503, 0x97757837, 0x04a59b30, 0xe388d107, 0xe1937f1c, 0x9e447707, 0x6e631ccb,
+    0x30df4674, 0x38298dcd, 0x2efaaf23, 0x246fb54f, 0x9a981a8e, 0xa8067673, 0x14d8cdac, 0x62dc0f17,
+    0x10e87b4b, 0x5a2887ab, 0xb78db305, 0xa7ff33a5, 0x75d90691, 0xbd1fc521, 0x6ee908de, 0x4ad691fa,
+    0x354af536, 0x7fd6cfc9, 0x35224df4, 0xfc19adcf, 0xb2188713, 0xe4f2ff9f, 0x897a472e, 0x56959f67,
+    0x77a47f4b, 0x260a52f3, 0xbb7e6f65, 0xa38be9d9, 0x760a2864, 0x330fa975, 0xa7c53ad9, 0xf5f904fc,
+    0x0447fd09, 0x921d0af2, 0x93f9567c, 0x2490613e, 0xd70b8cfd, 0x053411e8, 0x793e28ab, 0x0f9e2b0b,
+    0x26cc3604, 0xba783306, 0x9c4fe7f4, 0x3a657ae0, 0xcebb3419, 0x0fdf8d57, 0xdcbe8741, 0xe9cebb92,
+    0x5267f782, 0xe16554ba, 0xf6e4d76d, 0x40aad6ee, 0x8e9e63c9, 0x26adb0d1, 0xf1ab50b4, 0x65e7c8bf,
+    0x08024a87, 0x0beeaaa6, 0x0bd24c0a, 0x6f8035d3, 0xf795dc50, 0xd0d3100d, 0x02a9b56d, 0x15dcce52,
+    0x00517f88, 0xa7e413a0, 0x57c35981, 0xad68a03a, 0x31829963, 0xe5792343, 0x8f921253, 0xa9898143,
+    0x501978c4, 0x9dbbb163, 0xe4a0e5fc, 0x1d5f9b6f, 0x8c58fcd0, 0x5794eec1, 0x169d3561, 0xbe06b09d,
+    0x2b4c2057, 0xbda47082, 0x90ba0777, 0x48e299bb, 0xbc05ec8a, 0xd8504cb5, 0x16273f66, 0xa67618ff,
+    0x72a2ff5f, 0x8f4ff437, 0xb5ec6b08, 0x30de8b14, 0x6c093816, 0x92e7c960, 0x466b85cd, 0x754803bc,
+    0x28d7dabf, 0x8add5637, 0xc368d78e, 0xeed55d11, 0x909ec1f7, 0xbd31b8a1, 0x43a37997, 0xf10bb98e,
+    0xb1ee7a5b, 0xdbcf58ca, 0x8ec46d86, 0x23e4613c, 0xdf4c5a2c, 0x7ad9adf7, 0xfa73e145, 0x01c9aab9,
+    0xf0a31ab3, 0xa9fd796b, 0x24fae204, 0xdac63f4d, 0x4ff0b4a8, 0xb218e983, 0x2c7e9bf4, 0x2b5e8801,
+    0x6e3f9591, 0x949b9eb5, 0x8485c765, 0xb6338a8b, 0x76841792, 0xbe371f13, 0x21038c76, 0x1a1e79e6,
+    0xf8e6215f, 0xd4f0fef6, 0x91ac35bc, 0x4ca7f730, 0x901b2a11, 0x13cb06fc, 0xf727d506, 0xe56de80e,
+    0xbb8a059b, 0x612d6349, 0x221905b2, 0x3806f3b8, 0xa51efc6d, 0xc4d3c0c2, 0x3fa795a3, 0xbd565bb2,
+    0xc561ba1b, 0xfba8b30e, 0xf33aa10a, 0xe5d1c0a1, 0x0ca43a1e, 0x488b5904, 0xacf24d41, 0xb0457381,
+    0x61f6e35d, 0xc0094676, 0xaaf6c67e, 0x6b7556ea, 0xb946b9d4, 0x004ab33d, 0x9aa9212b, 0x58c63c3c,
+    0xdeecdf23, 0xe40a52ec, 0x49df4ee2, 0x23e15786, 0xb06b2aa4, 0x532a138a, 0xf289aa51, 0x2c3ba55c,
+    0x3eaab2e4, 0x420ea0cd, 0x97499dfd, 0xb44a631b, 0x738263c4, 0x49484067, 0xcaa4974f, 0x41e3edae,
+    0x26bc4889, 0xcf5987a6, 0xf6095aa7, 0x2abff387, 0x74f8889a, 0xc425b794, 0x1e097ea1, 0x72624699,
+    0x2f625a07, 0xf849b6c0, 0xf434ed4a, 0x922142dc, 0x215ba849, 0xd4021829, 0x9dd2fc7f, 0x1cb12858,
+    0xe231ace6, 0x8a765e9c, 0xe87f9c68, 0x840f7ef1, 0x0e1b0874, 0x537d207f, 0xa8e97fd5, 0x62e8decb,
+    0xbbdd9bd1, 0x4cc1b612, 0x911c96ac, 0xb8f3f367, 0x85390616, 0xf685380f, 0x3b906532, 0x28af4638,
+    0x7efbbf55, 0xe1c51a43, 0x522f01d2, 0x5ebf824d, 0x7bcc4cbe, 0xcb80128b, 0x9370ce39, 0xff8484ef,
+    0x00000000,
+    0xfe492bf5, 0x4bcd1b8a, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000077371252455336267181195264 */
+  { 0x00000000,
+    0x3d922d65, 0x8514047a, 0xcfb8065f, 0x104fdbb5, 0x46671024, 0x140ffcbe, 0xc78c539d, 0xbec4afae,
+    0x6eb19c40, 0xbfc90dac, 0xd07246f8, 0x8b19f3c6, 0x93e9558b, 0x22a33219, 0xf68a2dbb, 0x15ab4e78,
+    0xaf644da4, 0x30706437, 0x74e58a1e, 0x6e6e3ad6, 0x2f88ab8f, 0xcfb686a3, 0xd47e4eea, 0x54e6269a,
+    0x835e1809, 0x8f2d25d3, 0x805739e5, 0x8665d9df, 0xe73716db, 0xaa62795f, 0xeb9f5b21, 0xb7594285,
+    0xec6bae98, 0x90781b59, 0x2dee54c4, 0xbb7c6c5b, 0x6bcd9724, 0x0ebf638b, 0xe4d33770, 0xcbde2889,
+    0x69e279ae, 0x2c063a3d, 0x6dd52171, 0x740753ea, 0x0a1d374f, 0x9870a4e8, 0xa93fb858, 0x42ea4f75,
+    0x12aeb234, 0x8efa09cf, 0x60238f26, 0x19da3e40, 0x5bdb56ed, 0x6617f5e3, 0xb8cec777, 0xb233430f,
+    0xd3ee5a51, 0x15003150, 0xec06624d, 0x5eaa545e, 0x12744036, 0xf2783f3e, 0x670417b4, 0x10ff4a28,
+    0x14efed08, 0xe6c27598, 0x84850922, 0x3a007f54, 0x35115bd1, 0x24ad307f, 0x1988e5c1, 0x20e5bca8,
+    0x76d198d5, 0x5eb2a96f, 0x2109b769, 0x5382ddf3, 0x49428908, 0x2a918f66, 0x312c074b, 0xd22e0bbe,
+    0x63b6f9c0, 0x864a11e9, 0x811e4ea7, 0x428a6a0e, 0xba1ebc9c, 0x152c8136, 0x3e6b2a5a, 0xff2a29c5,
+    0x7e86abe6, 0x2c79619b, 0xe2ffcddd, 0x947025d5, 0xf12ad1fd, 0x51d1367f, 0x87ccf8be, 0xa2c78cbf,
+    0xb1236df8, 0x59aae42a, 0xb3a49633, 0x9b204195, 0x817c8bd3, 0x16a54a15, 0x2851ca4e, 0xff6c9751,
+    0xde1e8dff, 0x22e241cf, 0x95ac9429, 0x1a6937f5, 0x3e52c0d0, 0x4bfdd3b3, 0x00ec9ec2, 0xd4017f61,
+    0xda647f23, 0xca054ba8, 0xb3a76cab, 0xb3de80a0, 0x2b45fb24, 0x5066843f, 0xf7c490c5, 0x5c2aa301,
+    0xef125f2e, 0x271b9597, 0xb31a4afa, 0x836190a1, 0xc4d0170c, 0xcd42f576, 0x713d5f32, 0x390e6003,
+    0x2392198d, 0x1717fdb0, 0x0775c5f2, 0xf1eaf861, 0xb14925b6, 0xd54e03f7, 0x6811cebc, 0x62a24b93,
+    0x4a1b333d, 0xf5548514, 0x72319afc, 0xbff75e28, 0x4451d75c, 0x935316b5, 0x1096a35c, 0x6141baf8,
+    0xb2f01ff8, 0xb4a92cbf, 0xc5ce12d4, 0xe9c2385b, 0x20005a1a, 0x2dc2249e, 0x43e143e1, 0x25778ae1,
+    0x4c71d153, 0x333767c2, 0xc8d21feb, 0x5188ba8a, 0xa9aa4797, 0x41129047, 0x52b5e5e2, 0x2f473355,
+    0x3b796f70, 0xb9c2df15, 0xdf2d6f3d, 0x63514174, 0x4bf8598c, 0xb735b499, 0xae0858f0, 0xa85ea294,
+    0xc353f4a8, 0xc07738c2, 0xd7ab72f5, 0xc91d19c9, 0x9d589ca9, 0xf06a5c58, 0x9c8d3a06, 0x11f98d03,
+    0x00579e96, 0xaa32e94d, 0xd70e7d34, 0x06a7b762, 0x95085f9d, 0xee848b22, 0xb39c91ba, 0x7f7130d4,
+    0xe1d489f1, 0x4de7b26b, 0x48c0de12, 0x5ffe88ed, 0x92dd8b15, 0x62ad460c, 0xc8d3c4e4, 0x081f774b,
+    0x40f299ce, 0xd23f3afd, 0x851f0f49, 0x04373554, 0xbb4fef13, 0xaa425278, 0x4e398db5, 0x33531eab,
+    0x230d139f, 0xcb8cd772, 0x7b1ecccb, 0x4763f0e9, 0x0d7daf3e, 0xa4b2e065, 0x0fd9d66a, 0x26beeb01,
+    0x94c99fd6, 0x59ffeeb8, 0x2d151d4f, 0xf037c888, 0x42420dc5, 0x71c98553, 0x0d123c7d, 0x2830916d,
+    0x5a9b5a74, 0x5ffdc59a, 0x7c7ff4bc, 0x163797a5, 0x86d87c2d, 0xa25f3ef4, 0x79a17069, 0x313f7f09,
+    0x7250d2c9, 0x3b5942ed, 0x22c215dd, 0xb0ae8d4a, 0xff579b8c, 0x1bf9fccf, 0x239d0ffd, 0xa07d9a74,
+    0x89052291, 0x6ca277c8, 0x81d104d8, 0x0e09b0d6, 0xd573d0b2, 0x9be24f5b, 0xd8f0a264, 0x95334e1e,
+    0xdbda28f0, 0x2eb7a163, 0x2f67314d, 0xcdb8e4f1, 0x8586519d, 0xfab12eb3, 0x60a00734, 0x3e43544c,
+    0xb19a7522, 0x18907323, 0x67094020, 0x80b76102, 0x3590319b, 0xe5993669, 0x4e89687f, 0x581e1386,
+    0x3e74a0c5, 0xb3528a8c, 0x23cb11af, 0x8d0d7f0c, 0x854e8829, 0xdcc18c4b, 0xce4d513b, 0xe72a3cb4,
+    0x6bd29a5c, 0x60b410e6, 0x4d4c6276, 0x5bf36663, 0x589eb50a, 0xe1d84b32, 0x735f69f9, 0x4db86d78,
+    0x90e7d525, 0x11e62aa0, 0x383bb73d, 0x122982bb, 0xb4902ef5, 0x04eb9676, 0xbd17b4cb, 0x21d57e50,
+    0xf79513ef, 0xd27b6f02, 0xb76d2371, 0xf05efda5, 0x55ea6e48, 0x765e979c, 0x593c29a8, 0x151048fe,
+    0x34aca341, 0x1b7c3bc2, 0xa7ca6b6f, 0x29e89fe7, 0xefe585e7, 0xf2da3d46, 0x11122e84, 0x28d1480b,
+    0x6e699640, 0x0bc9fc1f, 0x59cd74be, 0x22eb5358, 0xea57792f, 0x659e2310, 0xe10ffabb, 0x66130c93,
+    0x24f2eff5, 0x186843c6, 0xae1623af, 0x28f98dac, 0x77df1ef4, 0x1984f3de, 0x2e7155ed, 0x834c2cea,
+    0x3826d257, 0xdc6087e0, 0xb6dc7490, 0xfe9d2f73, 0x67b212f8, 0xf4aa2966, 0x4e858637, 0x320b613d,
+    0xec667cf1, 0x52748ec7, 0x5c8b41f5, 0x449ca67f, 0x990957f1, 0x2db8ef6a, 0xcdcfdb81, 0x04065780,
+    0x6b7f9760, 0x4d97ef40, 0x2e8f835c, 0xcbeee948, 0x337c02fd, 0xfb48c7ef, 0x139e668e, 0x18bb527d,
+    0x7986297a, 0xd0ce5aa8, 0x40eb5c40, 0x8a0c2001, 0xae7929f8, 0x665422ac, 0x9ba1020a, 0xd8f21c6f,
+    0x71eec72f, 0xbe9e1ac5, 0x4aa71659, 0x46146545, 0xc144985e, 0xb6513724, 0xb8417417, 0x80bd9047,
+    0x502b28d7, 0x54c4d299, 0xfd83a410, 0xf63945a3, 0x4b7a88f2, 0xc6b65a6f, 0x1b8de810, 0x2da15d92,
+    0xa30feb19, 0xb87e4795, 0x333a02d7, 0xb4796da7, 0x792bec5b, 0xa3f54521, 0x88dc9592, 0x7ca4c195,
+    0x53f1f031, 0xe5ab8c51, 0x9b9542da, 0x8dfafdf8, 0xca35cf00, 0x0c726893, 0x44f2aa44, 0x1e520ea1,
+    0x4c36a6e3, 0x0c8c7cd7, 0x050f6dc0, 0x4c65f1c4, 0xfc4193e9, 0x67c8e42b, 0xbbf0c8c4, 0xe3eeb5be,
+    0xf43700d2, 0xfd36fd96, 0x972799a1, 0xc942dd97, 0xb33ae068, 0xe80b4747, 0xf2079997, 0x7c760e00,
+    0x6669249b, 0xd8449d5e, 0x776a3a36, 0x58b27994, 0x3e9148a7, 0x0b1ec407, 0xda00ce77, 0xa52cad83,
+    0xe0c7053c, 0x3a3cf8a1, 0x44cad777, 0xad382676, 0x2b35c7b3, 0x3970e6cb, 0x13544a94, 0x620b9e2d,
+    0xbc7c57d9, 0xee845bde, 0x9f2d290e, 0x0d157e9a, 0x90026616, 0x87b5d959, 0x1cefb907, 0x325018ed,
+    0xaa1c1642, 0xc48cd151, 0x63174f3d, 0x513610ad, 0xe78220ee, 0xbc88e645, 0x5731d553, 0x376190cd,
+    0x062882ad, 0x67519ef4, 0xa23f0d73, 0xd60dd576, 0x4322610e, 0x119a0dc1, 0xa46a1e21, 0xbdf4cd2f,
+    0x3c36a18e, 0xcb54e62b, 0x3e393af6, 0x947a31fe, 0xea9f5298, 0xe5d5d497, 0x57c56ca7, 0xa5fa190f,
+    0x56ff34d6, 0x61a88029, 0xb8136c8d, 0xbcc04007, 0x04bd68a5, 0x8ed4109a, 0xad6a0118, 0x8f0082ca,
+    0x6d15eb20, 0x6bd813ce, 0x34e75ee7, 0x7fced60d, 0x48320062, 0x1ec1e3d3, 0x41763e47, 0x6c7b80e9,
+    0xfc84a0c2, 0x84e45e7a, 0x322d8cca, 0x45ed23fe, 0x74577c52, 0x3b03aeae, 0x57159775, 0xc05ce368,
+    0x2ecd02ad, 0x607e2f92, 0x74f6cec9, 0x766cfd71, 0x95253df0, 0x95942e59, 0x5c6fb03b, 0x0771a04d,
+    0x5e9b3978, 0x75f5969d, 0x204ca5b4, 0x40009084, 0x47a183db, 0x3666e4bc, 0xd472c874, 0x5902c831,
+    0x043e483f, 0x259c1280, 0x44a4d52f, 0xb7cf74de, 0xe6d4ac15, 0x78a39538, 0x2cad6ccc, 0xde7ffa8d,
+    0x09a4a440, 0xa165c848, 0x1ea24c03, 0x6f375895, 0x395410ce, 0xc6ffbbeb, 0xe66ccf8a, 0xbe209861,
+    0xa2246350, 0x40574ac2, 0xc36cff5b, 0x9613ed68, 0xb762d486, 0x62056084, 0xeac04954, 0x58779c67,
+    0x6dc6234e, 0x91e30b88, 0xd8f40c92, 0x348f090c, 0xc9080732, 0x97e4872e, 0x3da75741, 0x55bca7d5,
+    0x0e69b9b0, 0x0027e653, 0x762339f7, 0xf0a8001f, 0x5a523231, 0x242754dc, 0x81329806, 0xf979b099,
+    0xadd94c4f, 0x45ef9839, 0xb1201c5a, 0xcd991e7d, 0xeadb12fc, 0x20f0fc3f, 0xd149b5ac, 0x4cffdba7,
+    0x46ec8c74, 0xd016befd, 0xd5f34ce7, 0xc6eb86b2, 0xf9004d2e, 0x46fbeb53, 0x2efa7393, 0x41068bc7,
+    0xf8a3208f, 0xc7f2126d, 0x435814c8, 0x8cd88e34, 0x78947b34, 0xb5797d01, 0x26052b2e, 0xd5461bf6,
+    0x408a324f, 0xbe1a4117, 0x01828b3d, 0xb2274974, 0xa8716acb, 0x53f7d17a, 0x5530fb40, 0xc9ff5c0a,
+    0xbe8415d9, 0x267e5aa5, 0xc7268288, 0x7acf4156, 0x07fdf2bd, 0x5a976120, 0x021c7735, 0x44111c2a,
+    0x9bbb18dc, 0x865d0e3e, 0x6aaef47c, 0xacab3c79, 0x6efcf929, 0xd89c2f6c, 0x97ca917e, 0xfe708771,
+    0x16c29b86, 0x7435ceff, 0xf78a2fa4, 0x2e00fd13, 0x14b55f18, 0x583fbe97, 0xedfc9d64, 0x155e75e2,
+    0x657e4e0a, 0xc7c45bcf, 0xb52288ad, 0x328933b0, 0xd7d305a8, 0x39ef3eea, 0x888ac747, 0x863e10b0,
+    0xfa7e3295, 0x17d604c8, 0x16270a9a, 0x909ca09e, 0x0b386de4, 0x5f2fd1b4, 0x5709b1a1, 0x29302e54,
+    0xaeaddfaf, 0x8ab56dc1, 0x56e94b26, 0xe17b1ed9, 0x1c4a7692, 0x09ee4e0f, 0x83e30e22, 0xaf4dc053,
+    0xd86b1c6d, 0xa24f874d, 0x08d716b6, 0x2cacca73, 0x0baa3516, 0xb13af502, 0xa08c8856, 0x2f5eaff1,
+    0x5391945b, 0xd904e394, 0x64c03dcb, 0x97e2494d, 0x60181c83, 0xcfd1154c, 0xf84705a3, 0xb19ad5c1,
+    0xfd520dcc, 0x34df254f, 0xcf75343a, 0x05c83ddf, 0x6957f9d3, 0x59ea4b6d, 0xc6256080, 0xe2407e41,
+    0x3b6228c6, 0x8ea5cd42, 0x208ba4ba, 0x1c55be94, 0x120d41fc, 0xea05bda3, 0xd3f7eaa2, 0x8d29eb40,
+    0x7f8cc290, 0x58308aef, 0xc027de57, 0xd7f4955e, 0x95826ce8, 0x38099bc6, 0xe7f690f5, 0x2892eb77,
+    0x22ee97bb, 0x9e3a42fc, 0x85c66f06, 0x5a82e35a, 0x98ce35c4, 0xdd088be9, 0xd37d2076, 0x157f8755,
+    0xd1ca649e, 0x3c51ad75, 0x08acb4ad, 0x0e157808, 0x6b5d635d, 0x6df58431, 0xf5b060d6, 0xc6287f31,
+    0x6be78a38, 0x48184222, 0xae1da234, 0x1513c768, 0xcfb76ebc, 0xd4bac93e, 0xf115505f, 0xf1c5575b,
+    0x9c8c1792, 0x2bb592e9, 0x975335f4, 0xb83f61df, 0x0b6284ee, 0x221bec43, 0x98b9f8f6, 0xfe60535d,
+    0x24153365, 0xf5029026, 0xeebc13b0, 0xb68bdf78, 0x45c3c494, 0x8c9c508f, 0x8500fac4, 0x92476df0,
+    0x5adeba25, 0xb53dd20a, 0xd99f5aba, 0x1fbd9c6b, 0x29886b7a, 0xcbf6c983, 0xe8147519, 0x2a27cfdc,
+    0x027837e2, 0x2545302b, 0xfd134dc6, 0xc371a43c, 0xc063e3db, 0x83061833, 0x50e36b48, 0xd0735394,
+    0x2c7c64ec, 0xc465861b, 0xf0c4b590, 0x2848c7ba, 0xd4228b89, 0xb545cb45, 0x2e341dc4, 0x6c160e86,
+    0x335a1f88, 0xf6aa4998, 0xe828df7d, 0x4d5468e0, 0xd78f3856, 0xa83c9612, 0x7019fd51, 0xb6a7b958,
+    0x86f5c339, 0x8cb1410b, 0x82977e8a, 0xd94cd78c, 0xcc1227c0, 0x5f321f9d, 0xeb464122, 0x2c632caa,
+    0xcc8d4e79, 0x16c8998a, 0x70031b02, 0xd5715166, 0x95075142, 0xd077c953, 0xf65d1460, 0xf52a21b7,
+    0x7bd4a149, 0x0eeb67f5, 0x67d17eb9, 0x9e7094fd, 0x10256d97, 0x4151665d, 0xafe6b4a6, 0xef25ed7d,
+    0x05bec148, 0x6b98555c, 0x4b38bfee, 0x666fa822, 0xfa60ebc1, 0x8050481a, 0x315e43a6, 0x0478663e,
+    0xea706531, 0x0b492f72, 0xa10c1f50, 0x347f2483, 0xf392e0e7, 0xabd4fa5f, 0xd834eb4f, 0x09e2a8d8,
+    0xd667ae03, 0x9dc30c6f, 0x0ee36ec1, 0x2f756183, 0x6aedb548, 0xbbeb16db, 0xcc7c992b, 0x8fa7f1cf,
+    0x21c9063e, 0xc7bcf3ba, 0xe2ae2126, 0xb25ab818, 0x726fd2b0, 0xec32614b, 0xd19ab6b3, 0x37e7528f,
+    0x25788d5c, 0x98c6be2e, 0x3d70938a, 0x9d280377, 0x1e2418b0, 0x14b1f8f3, 0xd922fdc1, 0x16cd9d1b,
+    0x292c3209, 0x3e63dca7, 0xc0c5c083, 0x0840bf7a, 0xd5bd914d, 0xecee21f4, 0x600ec394, 0xf01ce7b6,
+    0x3e38fbd5, 0x93c8e897, 0x353da767, 0x2edb4a43, 0x09120ce0, 0x34c2b6b4, 0x57380dea, 0x0cd83635,
+    0xd49d012e, 0xb4d8f041, 0x021dfe01, 0x20bd42dd, 0xf7b4b601, 0xc950d748, 0x12633d7a, 0x71ede137,
+    0xd17b0e54, 0x907e2147, 0x229e38c5, 0x1a0b0ced, 0xdbdee525, 0x3b11d249, 0x66061856, 0x779bfccc,
+    0xaee08dfb, 0xa49c6f79, 0xe31940bf, 0x0a506871, 0x30d68a9d, 0xcaf3c28e, 0x5068cacc, 0xb146c840,
+    0x09bad259, 0x20e411db, 0x1b0af96b, 0x9af5cdc6, 0xa890a9c1, 0x8b194982, 0xb2783b9e, 0x397ffcae,
+    0xe74be1af, 0xc18c9558, 0x83d8f46c, 0x68e33cd2, 0x7171b421, 0xabae18cd, 0x20de1672, 0x30b60bf8,
+    0x8ed408f3, 0x7562a16c, 0x07f80897, 0x0410597b, 0xffb687de, 0x3ebffc77, 0xc81ea58b, 0x3888611a,
+    0x36387344, 0xd92e45d4, 0x405f23f9, 0xe13824de, 0x8a9a056b, 0x404f6e17, 0x23de9a3f, 0x76c1c22a,
+    0x33bf2a33, 0x3386aad0, 0x5e3902df, 0xeb752087, 0xfb2c62fc, 0x5a264177, 0xe7519a2a, 0xa5738dfa,
+    0xd65db00e, 0x9b03fb50, 0x9beaa58b, 0xc642f46c, 0x1296b6d1, 0x9bb41850, 0x19bcb3b0, 0x28670673,
+    0x0a5b926c, 0x44a0ab46, 0x8bda0d98, 0x84dd4ccb, 0xda30008e, 0xeb7e301b, 0xbf694f2f, 0x9fbd5dd5,
+    0xa9cd918e, 0xf51bd8c8, 0x6a238cb1, 0xcdd28f18, 0x519cb5ba, 0x5c8f1005, 0x54f57704, 0x9ea3e87d,
+    0x6689bf93, 0xe9e25086, 0xa3dc02e6, 0x2d2b5d96, 0x007e4ab9, 0x00931c48, 0x5fecae4d, 0xdbea7a12,
+    0x0fe9e940, 0xf749fdee, 0x7fb2feab, 0xf434f78a, 0x1800208e, 0xeb7edbf6, 0x06eb3b2a, 0x02e16310,
+    0x48832af2, 0x094e199f, 0x1456dd50, 0xe66d4a0d, 0xf6b37e3a, 0xd8e06e17, 0xa8a5b7c4, 0x90d15fdf,
+    0xdbde1aaf, 0x54ebb900, 0xa077bf8d, 0x51879307, 0xc81308cf, 0x1b6c0b3c, 0x7d9d654d, 0x5be67a8d,
+    0x7b625310, 0x5e103318, 0xc184f236, 0xf20e00a5, 0x289f3214, 0xf3380029, 0x598b7468, 0x6640a875,
+    0x33ac021b, 0xb9b0b41e, 0x77b8ed49, 0x08eab4cb, 0xff79a4a4, 0x1f1147c8, 0xbaad42d2, 0xd59c0ebf,
+    0x49698274, 0x637f2e36, 0xabb10b92, 0xdd312309, 0x73116de0, 0x5135ce3d, 0x7eed25e7, 0x35f65ca9,
+    0x41c7f21b, 0xbaa77690, 0xdc749bb7, 0xa9373c03, 0x8c37c4bb, 0x2b751627, 0x810a9096, 0x8cec8f57,
+    0x1894d5bf, 0xf4900e80, 0x8ff44c90, 0x7f2239d5, 0x66c7d1c2, 0x3383873d, 0x85cd62d1, 0x74742578,
+    0x9421e29a, 0x0d4b79f2, 0x08814e32, 0xfd3304e6, 0x4791902b, 0x11a548ea, 0x973ea12b, 0xa92bc1af,
+    0x3220f61e, 0x80d71de0, 0x2276b47d, 0x7d16f234, 0xac9eee48, 0xf0bfb0ac, 0xefb7d5ea, 0xe01be563,
+    0x3bf153e8, 0x5425db19, 0x035eac86, 0x4c82a639, 0x71a31a15, 0xee481ced, 0xf2a7e1ac, 0xc99a57f8,
+    0x278c410b, 0x9bfe61bf, 0x7a15ad64, 0x7c2c770e, 0x10996da8, 0x099a4487, 0xca25e68c, 0x8b624e7b,
+    0xdc5925aa, 0xdaca8086, 0x9e595a6f, 0x13ec9de5, 0x013b3eca, 0x4d510f41, 0x50777519, 0xf5de5c4c,
+    0xc0d703c2, 0x14657913, 0xd2dcb396, 0xcfc98a18, 0xe22ebca3, 0x76b74db1, 0x2115ddfa, 0x716a489e,
+    0xa5a6d31b, 0xea0d5fe8, 0x5b6c579f, 0xb8f35fc0, 0x79ebd8b7, 0xb108191e, 0x153cc76c, 0xb4d945bc,
+    0x00000000,
+    0x7f2495fa, 0x25e68dc5, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000038685626227668133590597632 */
+  { 0x00000000,
+    0xb4f3c692, 0xdb2809bb, 0xbd57e25a, 0x404e0caf, 0x593df98e, 0x98e78c31, 0x3ed570fb, 0xe54eadc6,
+    0xb1f637e6, 0x3faa08de, 0x823e38fc, 0x6e153654, 0x4bda6628, 0xf5d8600f, 0xdb31fa47, 0x25acae17,
+    0x3fc682b9, 0xf61c98af, 0x2f704d12, 0xd3203da7, 0x126ebf69, 0x013f7ced, 0x96b0eb4f, 0xa6743834,
+    0xc97e25cc, 0xd8b5057b, 0x62629e8e, 0xe4431e9b, 0xd5d09a44, 0x1c301aae, 0xb0927bc4, 0x0328741c,
+    0x04657b2e, 0xc5dc0d3c, 0x462091c1, 0x822ec02b, 0xab19616d, 0x2f6c68f1, 0x299eae22, 0x8363943c,
+    0x1ead7d8b, 0x5b4cce5c, 0x978cf9dc, 0x2806e76d, 0x221bc8cb, 0x7e3be2e8, 0xaeb5807e, 0x4efaaaf4,
+    0x99209699, 0x85b0a675, 0xdc493090, 0xdbc7010b, 0x7079b53a, 0x7eb740fb, 0xedbe9d26, 0x63f9d67f,
+    0x29e042db, 0xe9e396d0, 0x5373b7f2, 0x360831f9, 0x83f29b7f, 0xcb99fae3, 0xea4fdca6, 0x4a8cda04,
+    0xc92d5bd1, 0xb1c9197d, 0xc7da5470, 0xda54ec2e, 0x23463b5e, 0x3c7ab1c8, 0x7c904a7b, 0x461018ae,
+    0x9110de87, 0xb2f5d2b1, 0x3a200e7b, 0x757e7112, 0xc0bee276, 0x106a8996, 0x729cb834, 0x6883661e,
+    0x086c5196, 0xf844faa1, 0x828ddef6, 0xabba4cdd, 0x58a5b3f7, 0x7b859769, 0x49c9b366, 0x6b468efc,
+    0xb2bd9bb0, 0xf16e16f4, 0xd46d3fb4, 0x4943a795, 0x28eea527, 0xeafa8f21, 0x1346cf8f, 0x400533d7,
+    0x1d837089, 0x411189c6, 0x883efcb0, 0xe612e649, 0x8e7daaf7, 0xffcd3c06, 0x22ae50eb, 0x7f68f8de,
+    0xa9ef50a5, 0xc7a0fc7e, 0xd5848cf1, 0x6d8dd28a, 0x6da97786, 0x0bc9974c, 0x368d60fa, 0xfbf834aa,
+    0x60c5471e, 0x0025340e, 0xb52863c0, 0x635963cd, 0x6150cb46, 0x8e820356, 0xa48f7d7c, 0x065161d3,
+    0xdceb3053, 0x50ac3cea, 0xe7aa7ff4, 0x4b05f3a0, 0x5624a31b, 0x9ee0b564, 0x9b459355, 0xd794f5d7,
+    0x79a81156, 0x8acefe94, 0x23ecf22e, 0x91bca962, 0x6833aa49, 0x6ec1620c, 0x48542f85, 0x42c95317,
+    0xa87f74b8, 0xee6086e4, 0x671d88fc, 0x8759837d, 0x441469ba, 0x4f1a658c, 0x1347c7bd, 0x94d6f0ef,
+    0x216da79d, 0x3e27b93d, 0xa822b237, 0x51ca32a2, 0x16f657e3, 0xd87bd07e, 0x4db15160, 0xf2a83c6b,
+    0x058134a3, 0x9c7fb00c, 0xfd982bea, 0x4f1ed029, 0xb222ca17, 0x27d1c60b, 0x48c3b139, 0x02bfbb2a,
+    0x0e33c3bf, 0x4c76d8db, 0x638a8114, 0x6f80725f, 0x138ff6d1, 0x75bbc60e, 0xd8c874e2, 0x58819253,
+    0x3bd9f2db, 0xbbedb37f, 0xa10f06ed, 0x8384141d, 0xb0844df2, 0x7452957e, 0xb058aa59, 0x70470aef,
+    0x3fe89cb0, 0xff215cf5, 0xae4b5ac6, 0x0fe5df67, 0x59d3ba75, 0x6e17fc6b, 0x356824b1, 0x19bcd4ec,
+    0x92f6a093, 0x6733b7b9, 0x495df37e, 0x5fd1dad9, 0xb2c6e02e, 0x4e254ae0, 0x7cf44323, 0xe8459afb,
+    0x0f53d8d7, 0xbe171e2d, 0x9316423c, 0x595f5827, 0xb663030e, 0x3c6d6076, 0x5ff447cc, 0x717b6b0f,
+    0x521f0500, 0x4ffe3c39, 0x6e584022, 0xc89ce0ab, 0x3d9352c3, 0x8beca845, 0x9328a4f0, 0x28578c1f,
+    0x73715205, 0xf43e493d, 0x4232c8dd, 0x2452bc63, 0xe2fd48a3, 0xa46a0d42, 0xac5c3003, 0x21b9dfda,
+    0x201cd568, 0x5ed7de02, 0x6ba9dbd0, 0xab8b45ac, 0x01b48d8f, 0xd91d037f, 0xbd0b12cc, 0x3fa64a7d,
+    0x68937d4e, 0x9c7f9708, 0x6831d720, 0xd85c9341, 0xe12939df, 0x0187a709, 0x1ed2e0a3, 0x656013a9,
+    0xd17b2f4d, 0x98f9c40f, 0x703656fa, 0xdc761db3, 0xe4ece961, 0x5e813181, 0x5e3f8815, 0x64ea0b57,
+    0xb10a775f, 0x462f65ed, 0x7b23ecdf, 0x5ccaa43d, 0x19308d6a, 0x30e93c66, 0xd1a3ddd8, 0x7c032190,
+    0xcb937ab9, 0x6ae0a7c3, 0x54e0ddeb, 0xd01dbefb, 0x4119ffe7, 0x63e6e6b7, 0xb379f89c, 0x63855b05,
+    0x833a8d78, 0x7b201383, 0x8bd0d19b, 0xd72ee444, 0x8780e4db, 0x826b2a3c, 0xa0d773f3, 0x485cc150,
+    0xd8293858, 0xda1af18f, 0x60333322, 0xa6ec0b5b, 0xaa26e64c, 0x4b5c1536, 0xc5d5a079, 0xd5595db4,
+    0x75c12c56, 0xe3dc22d6, 0xc45d82d9, 0x8c1b5820, 0x0d4d26fb, 0x8ee18661, 0x1442b2ec, 0xc0533b8e,
+    0xff8c2996, 0x65cb3f23, 0xc2b6d046, 0xdc2ba725, 0x70b836b8, 0x1ac451d8, 0x0e415098, 0x81c811e5,
+    0x0a3e0139, 0x1a5fba88, 0x3398ffa9, 0x4103fc30, 0xb8cd4dcc, 0x75605fa8, 0xecedf255, 0x732af638,
+    0xd875a04e, 0x0439975a, 0xfc3f000d, 0xdc4f7e4a, 0xd2669c1c, 0xb8597146, 0x2c707c87, 0x2bfe45ae,
+    0xf21e9276, 0xad7d5c58, 0x4144edfd, 0x40678555, 0x5dfe6255, 0xeb094047, 0xb4bb3694, 0x2315f7ff,
+    0x11132d6b, 0xd041805d, 0xb3ad5ee0, 0xd14ddce4, 0x8911653e, 0x35ed16b0, 0x282b8fad, 0x838dabd2,
+    0x793e79a6, 0xc00133a0, 0xaa11de09, 0xf9cf7087, 0x9a1665ce, 0x3a40f125, 0x7c9e4f84, 0xc240f7ae,
+    0xfc5cd731, 0x9108b5ee, 0x47f087c4, 0xc38c43c2, 0x0b6be6d6, 0x6ee24b56, 0x3450e6d3, 0xdf92ef25,
+    0xcd4ec0d9, 0x529d9c3c, 0x2a2810d6, 0xb781468b, 0x0cc1bcc8, 0xb547a5aa, 0xe2fe23d9, 0x7c15c596,
+    0xfe353de3, 0xdb2dc206, 0xc928fe98, 0x0c56e23e, 0xe9b7b905, 0xefe3169e, 0x6787c0af, 0x0b3a7b05,
+    0x729825b2, 0x16091edc, 0x98a5b120, 0x3fb8e0ce, 0xe92a97a2, 0x07fd554f, 0xea2541d8, 0xa6d79c1b,
+    0xb777a0c5, 0x681f09ef, 0x81ba5e53, 0x1b77e5cf, 0x1646eea4, 0x739500ad, 0x6fd1c57d, 0xd55f0896,
+    0x938af0ba, 0xdab493b0, 0x72e81975, 0x41347de6, 0xe4e84ffa, 0x26fe832a, 0xe841fb71, 0xf1de2cce,
+    0xa7963a0e, 0x7c57495c, 0x3fdec1f6, 0xadaf45fd, 0xf7f8c1c4, 0xe9cdada6, 0x753e5ee4, 0x30d505b8,
+    0x9ff7d51c, 0xadbef87e, 0x8003c8c7, 0x3ee0e159, 0x35eede6a, 0x9eaf7150, 0x6efe3c88, 0xe3e366ec,
+    0x4104dd3b, 0x70713b09, 0x868ee637, 0xdcc0fc93, 0xd0eb382e, 0x7cdb0237, 0xc1398223, 0x65f360a7,
+    0x09f566f0, 0x5eb1c327, 0xac58e92a, 0x8791d697, 0xbb322700, 0x6626773e, 0x11d5cbc2, 0xb06882ba,
+    0x2a355853, 0x435292e8, 0x5888ec87, 0xa17291d8, 0xb33b246c, 0x2fec2c79, 0xef1f4de7, 0xfb9bcca4,
+    0x47c6cb3e, 0xaef2f10c, 0xea1d9403, 0x923b400e, 0xf817b7e5, 0x6fce2663, 0x5ff13ff5, 0xca0244c7,
+    0xa8a61e95, 0xb7ce8ad2, 0x900e0e77, 0x4b3b5985, 0x985af0fb, 0x32f505a3, 0x07184949, 0x26375db8,
+    0x7bbd29e7, 0x74757129, 0xc71a0657, 0xe71fbcdc, 0xb6f8bf57, 0x6aee696c, 0x9b7807bf, 0x7f1830e0,
+    0xf99104b2, 0x6e85e1bd, 0xecfc85b1, 0x4d976573, 0xc5e94699, 0xb1f1ab9c, 0x62bd9ea4, 0xbbcc7650,
+    0x13582afd, 0x7a6634a1, 0xd10b9f99, 0x96303762, 0xa8535757, 0x01099d2a, 0x856e11ef, 0x67541ed7,
+    0xbbd67e8b, 0xa4f2faa8, 0x04046cc9, 0xd2b3975f, 0x5f908e98, 0x508df18c, 0x979e3f26, 0x7db7b5ec,
+    0xea98073f, 0x094dda0d, 0x184ded53, 0x025fddf1, 0xfdbf87d1, 0x67f4f8ae, 0x2ba56ac5, 0x27369502,
+    0x42c72add, 0xea1be165, 0xe66b439f, 0xa008a438, 0x9c11f860, 0xa47f9b0f, 0xf2ed61ef, 0xdcff0573,
+    0x78134c5c, 0x7ca772ee, 0x0a29acff, 0xe26f7381, 0xa0b446cc, 0xdb2f734b, 0xb94afbaf, 0xd904631f,
+    0xe902debf, 0x39d7199c, 0x212eae3d, 0x51f67791, 0x2a39f494, 0x4046e36a, 0xce0abb42, 0x64de6f3e,
+    0x0f369177, 0xabf1eb52, 0x57682e12, 0x4ace1d29, 0x9c5305f3, 0x03f0419f, 0xf85ca335, 0x519192ee,
+    0xdd26e38a, 0x1a1b1e2d, 0x88afc31e, 0x19e98b48, 0xbc258d61, 0xa6fdb6fc, 0x0a659e28, 0xdbdaed48,
+    0xb8603d0e, 0xd4c3a49c, 0x03c4c898, 0xe7dbacf8, 0x459241eb, 0x110f1376, 0x6f527e24, 0xc754f27d,
+    0x3f0c7fdf, 0x8e674942, 0xc2b8301e, 0x415ce22c, 0x5af53686, 0x0b1aeb83, 0x8ab374a6, 0xefcf88d0,
+    0xed48e654, 0xb6908133, 0x8c7b0086, 0x409dc566, 0x698f3213, 0x5f50d7f5, 0xcee00863, 0x793a60e0,
+    0x798ef53b, 0xaeeb3503, 0xa4601b22, 0xd5b67901, 0x9b65873c, 0x203f0d83, 0xb07e3b89, 0x6c43423f,
+    0x2d034713, 0x9165ab98, 0xc4f7fd7a, 0xbf221983, 0x8660cf54, 0x1000f739, 0xa036a8e4, 0x696b663a,
+    0xd9728b8d, 0xd2616dc7, 0xf2543da0, 0x69844b47, 0x97a721e7, 0x7f3ccfa5, 0x5f8ec405, 0xb77ab339,
+    0xa5545a8b, 0x5579c827, 0xd420b93b, 0x2ef67471, 0xc6b6d056, 0x933bb1d9, 0x8c2d02f2, 0xcc18b8c8,
+    0x84a7444b, 0x2bd61d2e, 0x165b6b4f, 0x3e7f9572, 0x33160cff, 0x415a961a, 0x06d6aba8, 0x72603371,
+    0x1aedd55b, 0x1c9f2ed5, 0x85a79eea, 0x1ce157c2, 0xf47af60d, 0x5efe1710, 0xa6adc412, 0x8e8f14d6,
+    0x22d19ac4, 0x301b6e01, 0x803a118a, 0xbf96d92f, 0x65792acc, 0x8b7954a2, 0x044885bb, 0xf3769d55,
+    0x87376149, 0x4d0b4366, 0xbf5ef193, 0xa2b779e6, 0xe6a268a6, 0x0aef36ea, 0x022b92c0, 0x7ad73ae5,
+    0xb06f9908, 0x329ccac9, 0xd075ff27, 0x996de823, 0x5b560791, 0x1b935da4, 0x7382e520, 0x9e4a8ad4,
+    0x95f47c12, 0x5112bb27, 0x96e3072a, 0x27e9ed8e, 0x6b4a9d24, 0xd88bdc31, 0x02e2c124, 0xdbdcf420,
+    0x8c47fce1, 0xebfc1eb0, 0xc8256ff0, 0xc007ce2c, 0xacaa8233, 0x10598aea, 0xebe62514, 0x5011be0f,
+    0x1ad28499, 0xde97a37f, 0x9e1efd80, 0x20ee451a, 0x134374f3, 0x2422a3ef, 0x42a3e092, 0xeae3d040,
+    0xa361f205, 0x323f2a3d, 0xe39403f0, 0xd727838f, 0xd429125f, 0x8f8c0bcc, 0x037bfbeb, 0x3622469f,
+    0xc41e825b, 0x7bf225a8, 0x297b020e, 0xdd7e2d92, 0x40d66d91, 0xe95c8c4a, 0x5d583e50, 0x0795e435,
+    0x9add5d7d, 0xa97f3ec3, 0x7868dc31, 0x3b4ab257, 0x8bf52397, 0x64bb466e, 0xb6449f95, 0x5781160c,
+    0x08d3267a, 0xa4cab55c, 0xd79ef09c, 0x0f699a43, 0x7724fe72, 0xc998b00c, 0xc8934a36, 0x769a58ad,
+    0xf0fe3a23, 0x937a598c, 0x487defc7, 0x2368596c, 0x304fafa5, 0xca0029ea, 0x54f25313, 0x34e8cdfb,
+    0xb908c58a, 0x7d1b6f1f, 0x3f4a2f7e, 0xe4b1a265, 0xd30baeed, 0x988b7364, 0x787428a8, 0x607edc64,
+    0x72431c0e, 0x183bf286, 0xfa745972, 0xbc6492e7, 0xaeae049f, 0x1474f9b2, 0x3ffe8531, 0xc1942216,
+    0x4e4614f7, 0x0dc16338, 0x8d31038e, 0xa34a72d9, 0xbc0cbc0a, 0xbe013972, 0x5dc517b7, 0xeac27b84,
+    0x457cdba3, 0xde22fbc3, 0x1decdacf, 0x64f96dbf, 0x92b7b042, 0xdd0c20db, 0x34a2106b, 0xc319ce6a,
+    0x731832d3, 0xd26b3fd8, 0xb3b086a8, 0x808cbb47, 0xe5550d3e, 0x1e8a738b, 0xfcbf3f29, 0xacb01000,
+    0x011bab8c, 0x1ad7ad6a, 0xf3d4bc04, 0x8ff6ecae, 0x306c1c5a, 0x003be595, 0x61c6d1b1, 0x68daf1a4,
+    0xc38519b9, 0x641e8332, 0x6b634a0b, 0x9c59d840, 0x2a0284fd, 0x9bc212e1, 0x85efca54, 0x0daaab01,
+    0x5f6083c1, 0xe58fd609, 0x40b08fc6, 0x4d3a7db9, 0x845f7940, 0xc528f3a9, 0x4c38dc32, 0x5ebf9ca3,
+    0x7cf66d8f, 0xc081c7a3, 0xa42fd321, 0x1edd9437, 0xfdf84d23, 0x42a8b985, 0xe4d3eb23, 0xf94f10bb,
+    0x492154d0, 0x9cec2b8f, 0x28a8d9dc, 0x3028c792, 0x4bb85c1a, 0xd1629abd, 0x3f315469, 0xf63fd396,
+    0x6afd0076, 0x036a6ec6, 0xb2c7f4f0, 0x9e3c5108, 0x66385c7d, 0xf491dc53, 0xcfeabc64, 0x35b0fb5d,
+    0xac99a1df, 0xfd2e2b13, 0xabb51651, 0x19f46697, 0xbc7487a1, 0xbf929e83, 0xe234e238, 0xc57b7c5f,
+    0xe688660c, 0xbe3e4f1f, 0x9a201df2, 0x68be4adc, 0xcba89d3c, 0x9817449e, 0x468c708c, 0x0ab15d77,
+    0x97bc2f3b, 0xe0f61d2a, 0xf6b65949, 0x1b398fdb, 0x0bd4cdb7, 0x27055d9b, 0x101ad8dd, 0xbdbe4758,
+    0x7861597b, 0x925289a8, 0x9d526455, 0x9e105009, 0x639247af, 0xd4d1d0d8, 0x816dcd58, 0xa8954a7c,
+    0x32bb10ca, 0x372ee4d9, 0xabe56cac, 0xe49bafdc, 0xb8df1160, 0x20932ecc, 0x7e8e235c, 0x58fe0b14,
+    0x2d70d051, 0xd7dc1bc2, 0xe791eb38, 0x8778af54, 0x17b3945d, 0x94d92c52, 0x13a11e33, 0x7be4f776,
+    0xfffea9da, 0x7d4f3324, 0x04ba3224, 0x6b8c1da5, 0x4f264bf4, 0xd263ea03, 0xafcd9052, 0x2f1921c4,
+    0x4387692a, 0xfafa62f6, 0xa5a3ef1a, 0x99e65e4b, 0x7a24fa56, 0x95199049, 0x5b1a834b, 0x849ce772,
+    0x91d3872a, 0x4dd128fe, 0xb40cec0f, 0x6ed93b53, 0xa0df1678, 0xcd598005, 0x41bb4154, 0x9c33a434,
+    0x2bd4af27, 0x96732b9d, 0xc8f52633, 0xe09288f5, 0x82bdf772, 0x8ab88fc8, 0x3b1dc272, 0x3eba5924,
+    0x417df50e, 0xa35e7f2e, 0x37887df0, 0xe0a5cdab, 0xae7c374d, 0x1045d247, 0x24c28221, 0xad345255,
+    0xfbe851ed, 0x41582d91, 0x2182e6dc, 0xae0492c1, 0xea14618b, 0xf40c6e73, 0xf49dd0ef, 0x5258f65c,
+    0x06f4329d, 0x151f7359, 0x9334a901, 0x59293dc7, 0x0e6df1ad, 0x2a0f40d9, 0x812e9b04, 0xb5e0c27b,
+    0xb1956ce8, 0x50428916, 0x9da4e5f5, 0xbed712aa, 0xf1c21699, 0x4b9ce3e8, 0x850205a0, 0x35b24b61,
+    0x8d483b83, 0x4e2c24da, 0x111a1d15, 0x0899121c, 0xfaa80418, 0x7016dd9e, 0xe36987b9, 0x4a5dedf6,
+    0x6b8609d5, 0xabf0ec78, 0xe82f8695, 0x5e62cf36, 0x907ed91d, 0x9af0ae35, 0x48063a77, 0x4788f5b9,
+    0x7acfe7ff, 0xbe76c1d9, 0x55e59553, 0x4a6de760, 0x70477fb0, 0x1a772a28, 0xd7091b50, 0x19993532,
+    0x9806f033, 0x77ccd585, 0xb1fad32e, 0xb1895509, 0x0a4772ed, 0x3dd69b8b, 0x0e7b40f3, 0x711cfa62,
+    0x91b10027, 0x05fa4de5, 0x4fa47cd9, 0x8d316abe, 0xb336f41c, 0x8f2781f9, 0x38029f0f, 0x81ea5971,
+    0x47bcb5b8, 0x642c70a6, 0xaa5db2e0, 0x7ef9f29a, 0xb19d1b8e, 0xa85cb2ff, 0xed74bcdc, 0xd9cf08bc,
+    0xf49922f4, 0x24552418, 0x4421fe91, 0x8cf58627, 0xd566d2d4, 0xdcd75846, 0x91406285, 0xee074228,
+    0x61a23588, 0x29e88e27, 0x97be5c51, 0x8c4f8725, 0x8a9b8690, 0x405885d4, 0x9c2f4ded, 0xf80601cb,
+    0x8acedbd6, 0xf374c5f8, 0x2170477c, 0x1868e342, 0x13628961, 0x73859801, 0xe0da8334, 0xa695ff1d,
+    0xb0e1d401, 0x823cedaa, 0x601b95d4, 0x5fdb198c, 0xfad84353, 0x8477b76e, 0x93e1ea73, 0x6686449e,
+    0x63731dd5, 0x06c6869a, 0xb10e3326, 0xae830cce, 0xa7d3623d, 0x92d41f00, 0x0a521b21, 0xdeac2c34,
+    0x158e0536, 0xf2069ada, 0xc937ec1a, 0x360046ae, 0x45ec2cc0, 0x9d573720, 0x3af533ad, 0xf7f5b5e0,
+    0x56d1af17, 0x276d2f3e, 0x7a81d0b2, 0xbf6f1371, 0xd51c9600, 0x22626d4e, 0x3af2a5a9, 0x469ba615,
+    0x0bd18c1e, 0x88df8397, 0x33b11fb1, 0x1daa0469, 0x6f93aa4e, 0x784430d0, 0x1963dc21, 0x7334e5cb,
+    0x36a9bc96, 0x206c356a, 0x8b28179a, 0x341e67d5, 0x12d0ddbd, 0x6ac1cdff, 0x78cd126f, 0x42a873c1,
+    0xf887a1d6, 0x5a8c3dba, 0x52ccee91, 0xc34862a4, 0xb855dc00, 0xf4ec7e9b, 0x5ee54f7f, 0xfaa33d2f,
+    0x41f731ab, 0xfc08b324, 0x905e89d7, 0x1810b16a, 0x0fc15c61, 0x06edb665, 0x23f169f0, 0xd72b02af,
+    0x00000000,
+    0xbf924afc, 0x12f346e2, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000019342813113834066795298816 */
+  { 0x00000000,
+    0x0dd34d79, 0x184cd298, 0x1db8e6f0, 0xdea9e49e, 0x02445301, 0x5d46106c, 0x7da17d79, 0xf14ae04b,
+    0xd29ba1ea, 0x722fdaef, 0x1fdcd334, 0xd67b544b, 0x0f96814f, 0x22710aea, 0xa1e95b5f, 0xae897fba,
+    0xd877ac10, 0xf28e996c, 0x190bb18e, 0x1476c54c, 0x9c106a06, 0xfdada54f, 0xec235cb0, 0xb57c475f,
+    0xe8a27516, 0xe1164460, 0x73a8354c, 0xe18f8adf, 0x417b2281, 0x4be09e51, 0x676f5e39, 0x48a6b1c1,
+    0xa9a0be75, 0xcca715cf, 0x9512ea87, 0x137e89d7, 0xbbbbcf92, 0x8dec40db, 0xbc52e6da, 0xb83a2674,
+    0x9ee40d94, 0x6d3c5ffa, 0xcf98c1da, 0x32d273b2, 0xcdaf36fd, 0xd0a68f3a, 0xd49e9777, 0x6f2e9442,
+    0xaeb4b658, 0x64a087dc, 0x786b974f, 0x85185d6f, 0xbd2a2567, 0xe4cee623, 0xa9c0d9a5, 0xc19439f0,
+    0x832cb9a0, 0x5b0be17a, 0x828a69ea, 0x6259db6b, 0x1bf8cdf4, 0x8c8e82f3, 0x4baccfdf, 0x61c8d790,
+    0xabc6fb1d, 0xcc1c33e5, 0x826f9afa, 0x09a5b584, 0xb00ca71d, 0xb457ec2d, 0x1b586ccc, 0xfc451bd2,
+    0x14c85928, 0xa6f17e18, 0xec6a8b82, 0x17bb47b7, 0x3df0162b, 0x52fa435e, 0x128158e6, 0x9a8ea71b,
+    0x5fd33597, 0xbcf0ad84, 0x74f91d6f, 0x2417611b, 0x26602d3c, 0x1a288746, 0x44cd1578, 0x3fc2c703,
+    0xa16a5e01, 0xd4d47e18, 0x4eab7f90, 0xf23aff19, 0x686f32ac, 0x54f31feb, 0xf136b08c, 0xe3c24fff,
+    0x451706d1, 0xbb242a1f, 0x534ac1a0, 0xc1fb2fbf, 0x099d022e, 0xacb1a5da, 0xbd537d56, 0xa5e65162,
+    0x4e247867, 0x31038c01, 0x3d561188, 0x4a9998bf, 0x25bab5d3, 0xe2a6e070, 0x6a10c3a5, 0x50db7e1e,
+    0x951052ce, 0x780a0335, 0x3353386a, 0xe91d57bb, 0x211dd7be, 0x72ff583c, 0x43613192, 0x0cb221ba,
+    0x2fad6752, 0x38793f51, 0xe1a30414, 0x8082dcf6, 0x725ffac7, 0xd22bebb8, 0x89926c26, 0x4c610e28,
+    0x94a1852b, 0xd41bccb0, 0xe0314212, 0xefa1b623, 0x002aed8d, 0xe6d2d255, 0xd15e54b8, 0x714d48c8,
+    0x51eb5274, 0xb645afaf, 0x439ec5c0, 0xa8843ca8, 0xa382edf0, 0x7a940eb6, 0x5596b396, 0x713c142c,
+    0x6b23d6a4, 0xd6769309, 0x7fe93102, 0x05af77a2, 0xb5cff266, 0xb47c639b, 0x67872c39, 0x18b01642,
+    0x11f29032, 0x8ebe9491, 0x52f15113, 0xb7efc065, 0xa7050c31, 0x02a5f5af, 0xc407ccaf, 0xd3091568,
+    0x8ab0378a, 0xbb7a6e59, 0x54200200, 0x94a2af6a, 0x4b7195d1, 0xe6002858, 0x47636a64, 0xbfbd07f8,
+    0xb40c4af8, 0x7282486a, 0xc350be0b, 0xbf572228, 0x6fc57739, 0x854f813b, 0x675f01f4, 0xe7e995d0,
+    0x425ef2a0, 0x16ffc2a1, 0x6720071c, 0xd6712003, 0xb9a9953a, 0x801df660, 0xf36d857f, 0x51d404a8,
+    0xa3578e62, 0xa5f94959, 0xab57ed1f, 0xfafbd4dc, 0x0f9887f3, 0x9509231f, 0x68706ceb, 0x27eab52d,
+    0x0fb5b522, 0x31bf99ab, 0x34250807, 0x99245cba, 0x9e97ab47, 0x83fad17f, 0x4d54f25b, 0x46c18c24,
+    0x828f66f2, 0xfc0fb7ca, 0x2010a415, 0xbef8c93f, 0x79858f5a, 0x17d40f7a, 0x116f1c28, 0x45273d5a,
+    0xbc938901, 0x4ee79f96, 0x0bba9d2b, 0xc33a0de0, 0x6f1fd50c, 0x440eab0e, 0x37d6b702, 0x7998e66f,
+    0xcb27ea80, 0xc2761a9a, 0x7610f22a, 0xea877b60, 0x175b9c4a, 0xe9a7222a, 0xe6f7c403, 0xfbcd3773,
+    0x8d5ab357, 0xc7a790cd, 0x959e168f, 0x41cbd97c, 0xa7972a9d, 0x22e36e1f, 0xf9a3ccd6, 0x67b7f6a2,
+    0x341354b5, 0xaa6b013b, 0x0905b9a1, 0x59e52047, 0x54e1892d, 0x56bd4afa, 0x26e1e4a5, 0xe91178e7,
+    0xb14edacb, 0x916234fb, 0xa34303b8, 0x07c62196, 0x0eb553ef, 0x8c677ebc, 0x1b958628, 0xb129bb51,
+    0xbe588075, 0xbf090d4c, 0x8db22634, 0xe371751e, 0x4bcc4794, 0x7b41d08e, 0x8683fbe3, 0x01b321a7,
+    0xf01203a1, 0xf3f6f1bf, 0x28871cb9, 0x34410aac, 0xc980dc22, 0xcbfdc3e8, 0x0e16e265, 0xa3c5cf8b,
+    0x0a18111d, 0x082b9be8, 0x6857bfce, 0x189da2f1, 0x9b566c15, 0x9b0b1219, 0x9ef2826c, 0xbbc8e66b,
+    0x33ed69c1, 0xc71ac7b9, 0x92f897e3, 0x7d281317, 0xa0ed2557, 0x5faed6f5, 0xb450f322, 0xb36188b0,
+    0x71ab255c, 0xac31aab4, 0x45a9220a, 0x55a5ef81, 0x4bb25cb2, 0x0780658d, 0xb6230219, 0x6fd6b848,
+    0x9a2f3ac3, 0xe7560558, 0x01d36343, 0x9f749ccc, 0x682fcb50, 0x49238450, 0xa555b53d, 0xfd4f4083,
+    0xf2c887b7, 0xd3ff121f, 0x887b4f0f, 0xe368bedd, 0x95edf14e, 0x629e4f02, 0x4872246c, 0x9ae9f67e,
+    0x1913c559, 0x5408ee34, 0x882a94da, 0x5fb9f632, 0x472294ad, 0xfca74554, 0x5c2e9b36, 0x8daa8ad2,
+    0xafbe254c, 0xcd4104f7, 0xf46e4f37, 0x687d3231, 0x020d6ca6, 0xa58cd8bc, 0x50d322ec, 0x4f3e7ab2,
+    0xb40feb92, 0x1ece8fe7, 0x69582d39, 0x7aae1ec1, 0x916f1204, 0xa9434f33, 0xdcb0e75e, 0x3c6ed219,
+    0x0557f027, 0xbd979483, 0x0bb12e7a, 0xcb85e8dc, 0x7a064576, 0x3406d345, 0xb9c4076d, 0x11be5395,
+    0xe1c7130a, 0x18939a99, 0x05d7aa4c, 0xe5505798, 0x892b5ee3, 0xb8ce4df1, 0xc79aa3e1, 0xd6550b43,
+    0x28b29f81, 0x27e0def4, 0x84dce68e, 0x09755b51, 0x54144fba, 0x0747ac0b, 0xb84fb660, 0xfced1ae8,
+    0xe6e853c1, 0xb4aefec0, 0x960f4bd7, 0x5eb2f4a0, 0x1861ba27, 0x0fdd6441, 0xa320f1b3, 0x8998e1be,
+    0x1feecca2, 0x4f90578c, 0xccdaa43b, 0xffaa9362, 0xed1508b8, 0xa868c296, 0xab1d9c54, 0xb5ac3c13,
+    0xd76fe32a, 0x3333ec18, 0xde4fc9c7, 0xbaacdc19, 0xe4b6cf5b, 0x45833543, 0xfeff51fd, 0xc11e4c2b,
+    0x1efea28d, 0x2425308c, 0x79432a25, 0x408c44c1, 0xff75460f, 0x33ebc125, 0x5ffa9167, 0xe7eb346b,
+    0x06bf04a9, 0xd74f5af8, 0x2d77948a, 0x2b314adf, 0x07ebab56, 0x3eef3d52, 0x38b9fd52, 0x7717e983,
+    0x163d305d, 0x710ea087, 0x7e73a19f, 0x4a2657d4, 0x39e5202b, 0x36cf9c8e, 0x8216b808, 0x59e2cb0e,
+    0x977d88b7, 0xd58ce4b1, 0xc4f23c79, 0xa9e75f0c, 0x94f29673, 0x50abf8a4, 0x07f66607, 0xdb631a82,
+    0xe63b1aad, 0x17be6e84, 0xdef3dfd9, 0x13d79803, 0x35748ed1, 0x8242649d, 0xc8210be3, 0x30cfa65a,
+    0x9ec25cfd, 0xbe5647c1, 0x7b38c3a4, 0x480c2998, 0xbc9d4dd5, 0x4796a8fd, 0xf231e396, 0xdc8b3bc9,
+    0x079dcbe0, 0xdccb3d58, 0x7c215f7e, 0xd876029f, 0x0044cbff, 0xc4f8c97d, 0x90528bd1, 0x4035be26,
+    0x5e131d6e, 0xb2457a3f, 0xf48e040c, 0x83c2fa47, 0xc251207c, 0xea8c3d4d, 0x57aedcb3, 0x4c9dedb4,
+    0x72500e31, 0x2dc1bc0d, 0x76c9625e, 0xef1d4e93, 0x9716cfa1, 0x176fd48f, 0x12201f74, 0xbe29befa,
+    0x3a65c828, 0x2d786d9f, 0xec1b4e3c, 0xc37792c8, 0x05f7eb0e, 0xc457756d, 0x485b8ecf, 0xbf5843d4,
+    0x7d7c606d, 0xc54e40b9, 0x3b49abd5, 0xf79e2126, 0x8f777cae, 0xcfd32beb, 0x37c58513, 0xd794e862,
+    0x45c2d273, 0xc095bcc1, 0x9d1556f7, 0xe8f05283, 0xfa4de309, 0xa0fed648, 0xf098bffd, 0xae6cbabf,
+    0x957da3c3, 0x25d1c773, 0xfaabbaef, 0x96dc68aa, 0x2e5d64bf, 0xf8dbf69a, 0x3948d99a, 0x065cf35d,
+    0x978c2668, 0x02de299b, 0x06e81294, 0x3080c9fc, 0xc5672d0d, 0x88a31f4d, 0xe008e507, 0xca29033e,
+    0x1422b71e, 0xd823ba3f, 0xcce7a869, 0x80801bd0, 0xee80b1c9, 0x02e8c9e1, 0xfd184a21, 0x0a8fc48b,
+    0xff546c14, 0x5be2853b, 0x39597872, 0xd1d4822d, 0x63db9ab7, 0xac0ba2fe, 0x967a0853, 0x02ebacba,
+    0xd916c352, 0xa8618bdd, 0xdf6739a3, 0xb8eb817d, 0xfd7f65d3, 0x7cdf122b, 0xf50380ee, 0x94969fa9,
+    0x0b76a75d, 0x105f1819, 0xa1336d02, 0xf30cbdf4, 0xfe19278c, 0x84925fd5, 0x894cb349, 0x01bac562,
+    0x8744e0be, 0xabd5b295, 0xaa1dba4e, 0xee86d5bf, 0xb4dbf2f0, 0x65706d64, 0xfa1e5c21, 0x3cf2f171,
+    0x8430982b, 0x97625dc8, 0xe7cc2d74, 0x61d3b20f, 0xa8966ba8, 0xec8f49f5, 0xd1295579, 0x6152899f,
+    0x7556a11f, 0xdf4adc99, 0xc2477629, 0xaab44082, 0xdc2af4ed, 0xcefcc4cb, 0xcce88180, 0x8e3fd71e,
+    0xcd48a04c, 0x78be9136, 0x76d91c72, 0xdf3c525b, 0x963a3f02, 0x2b2430b1, 0x6705e565, 0x8d54a8ae,
+    0x738eee39, 0x37cc0e70, 0x50c31c34, 0xb7ce15c4, 0xdfb84b96, 0x68bc3fa9, 0xfc7e19ab, 0x1a8eead8,
+    0xef035897, 0x904c4740, 0x34cb08dd, 0xe5eb7e21, 0x30334ce5, 0xaad5dc87, 0x9c0f7153, 0xdebba3fa,
+    0x3577d8a2, 0x06f38d4b, 0x9e1d2ea9, 0x69cb34e9, 0x4a99d34c, 0x6438edb8, 0xb7d9893b, 0x7d7b2c01,
+    0xb37be14c, 0x494a28b0, 0x00eeec20, 0x6daa97eb, 0x40ff75ec, 0x7828df24, 0xd349e47f, 0xf10828be,
+    0x8f1b18e9, 0x4c5e9553, 0xb4336e2f, 0x413b5b8a, 0x8f85d2a4, 0x030f6ea0, 0xd50af6c4, 0x4529ac4a,
+    0x7aa643a5, 0x8397bf8f, 0xee6750ec, 0x2c855ff3, 0x44d475f2, 0x613e9bad, 0xdd588437, 0x6414dd98,
+    0x8ca75ff5, 0xc3c9d45b, 0x2f0062dc, 0xdf979f9f, 0x5499df69, 0x011001a0, 0x524c293f, 0xb2b63566,
+    0xbc47ca98, 0x852f969d, 0x41dd3479, 0xadb094bb, 0x46a20c1b, 0x835f95f0, 0xea1c4cd6, 0x344f4d82,
+    0xc1d356c8, 0x21ce0d70, 0xecbd1c9a, 0xc9ba1af2, 0xa42f3539, 0x06cc5956, 0xfc56e0c2, 0x5ce62acf,
+    0x53844b1e, 0x9da499c8, 0x844f504b, 0x525a3071, 0x3525d63f, 0x807ac65b, 0xef642631, 0x781890ee,
+    0xdff37016, 0x9c12ba44, 0x349c2cf7, 0x9fd6c39d, 0x8c34cbd8, 0xe2cde9b2, 0x06614ba5, 0x2c373c75,
+    0x3e307fb2, 0xbb17b7be, 0x823bc6f7, 0x613711ad, 0x731b730a, 0x90677a75, 0x5179a44c, 0xeeccf447,
+    0xe41c326b, 0x078efb9f, 0x222c5d41, 0xf9d9d178, 0xf060409f, 0xf70ca86a, 0xbc3d1089, 0x4ca481bb,
+    0xcefc3e26, 0xd4b3bb6b, 0xc926ea1a, 0xb9df48bf, 0x17d11506, 0x0b7c991a, 0xd5c9b6c4, 0xe7abdc91,
+    0x6d6eb1ef, 0x414de8d3, 0x798a57b3, 0x6f19b21d, 0xa50cb6e5, 0xfb291362, 0xb17bd3f7, 0x405abecf,
+    0xb8f8fe6c, 0x743d2337, 0xa54051e6, 0x42ae0b42, 0x02343871, 0xb5b7ad94, 0x74973f83, 0xeb7b5e40,
+    0xf32f7745, 0xab2fcf74, 0xb0553126, 0x9541b84d, 0x68e27820, 0x92d3b108, 0x179d6778, 0xe48721ab,
+    0x35ae06a5, 0xb29e2248, 0xaecaf4b4, 0x7e28fc2a, 0x248d7791, 0x041e78d3, 0x6043a892, 0xc5128433,
+    0x6e4189d9, 0x65eecbb2, 0x067dfebf, 0x3cbe72ca, 0x694d624a, 0x875d7132, 0x1eea7806, 0xa952be92,
+    0x6057970b, 0x628f3caa, 0x8195cfe2, 0x0b2f22ac, 0x9ccef267, 0xe64ef0ba, 0xb7d6e747, 0xfa22c680,
+    0x8aad0023, 0x62d4531e, 0xf8fe8b62, 0x6e480f05, 0x09d42254, 0xf973f2c1, 0x893fb9a9, 0x6d35000f,
+    0x33911def, 0xa048da16, 0x5cf99ecb, 0xc2009fab, 0x8b7d6590, 0xac9f4719, 0x54fb885c, 0xb50c5227,
+    0x0f904715, 0xe5428d10, 0x842e12e7, 0x2891e71c, 0xa9c6a9c2, 0xdb41879f, 0xbdbf8dba, 0xb76a0402,
+    0xc1a60200, 0x0e8d1cf2, 0xaedde546, 0x52ffb164, 0x0582084b, 0x7e9f872e, 0x162a6ef6, 0x4c3723e3,
+    0x36ef3787, 0xda7f40e7, 0xe164d04c, 0xb76e68fc, 0x143939c5, 0x03edf800, 0x2dc12859, 0xf1ec7cca,
+    0xd061eb4d, 0x86743584, 0x34961b0f, 0xfbb5c683, 0xe0d82d09, 0xdd5042f1, 0x796c3f87, 0x69770561,
+    0x786cb94b, 0x1c7c48d1, 0x4df574c1, 0xa0188258, 0xa701ff65, 0x08b098ee, 0xb2664b01, 0x33d13c40,
+    0x9c4c9707, 0x0c627f0f, 0xc5dc9d50, 0x8d74275c, 0x1c51c1f6, 0x52d4e51f, 0xd45c774d, 0x6a4b2289,
+    0x489b0c81, 0x635ab5d4, 0x657f9990, 0x7323ac4a, 0x295314f7, 0x1394e53d, 0x1e382105, 0xe9cc59ab,
+    0x4a145043, 0x6ca883af, 0x29ffc7b6, 0xb975dfae, 0x74df0a37, 0xc58007bc, 0x96f22809, 0x4096d38f,
+    0x9e057ebf, 0x3e088a23, 0x1579f586, 0x5568ceae, 0x4788329c, 0x2d51d806, 0x32cf98bf, 0x9f44729e,
+    0x08b535cd, 0x2dbe6e4a, 0x8919f8e4, 0x904ccfb9, 0xf8496575, 0xf6cd1328, 0x0b756b1f, 0x5f3db50e,
+    0x37020197, 0xdf95c7e7, 0x68be4a2b, 0xb8691d96, 0x37e2cda2, 0x4efb221d, 0x9dd601bc, 0xc63af9ea,
+    0xf6c5960e, 0xf5325fd8, 0xb98ec542, 0xbff07d3d, 0xe9d7c335, 0x942bbe16, 0x29afc8fe, 0x8287cb77,
+    0xaffe6fa6, 0xd9eb7fcb, 0x2af0bcbb, 0x33c10d0e, 0xf7a3a77b, 0xd3969390, 0xc7bcbe10, 0xdd90c532,
+    0xe2fe61da, 0xc7b1bca1, 0x36c5818c, 0xeb2c87de, 0xd2727a66, 0x20ad6072, 0x19b34784, 0x158f7a99,
+    0xab5ed8a4, 0x5af69d70, 0x91da1526, 0x6c983580, 0x5f6b09e0, 0x09391b3b, 0x3d829b12, 0x43939119,
+    0x2111aa79, 0xcc58afb6, 0x1aad4baf, 0x38d92ccd, 0xd3255a90, 0xd545bb67, 0x897cec4e, 0x7239fa6b,
+    0x6f7845ee, 0xd4406431, 0x3bf07130, 0x3bb4049d, 0x89408eef, 0x9732c3b8, 0x9d440650, 0x98cdbe9a,
+    0x9d7b0a12, 0x7f4ca00c, 0xf0673039, 0x73a88f1c, 0x98832e7b, 0xf7655cd7, 0xf204c40b, 0x641af1f8,
+    0x1bdfa767, 0x5474c912, 0x40b62f4c, 0xebfd9751, 0x2dfd0903, 0xb3a674bc, 0x1ea0661e, 0x4e309c1f,
+    0x2f3f703c, 0x4d4aa41a, 0xe6985aed, 0x681267ce, 0xed378279, 0x76bad3cf, 0xbeb292d0, 0xc580d44a,
+    0xca734161, 0x7cce32b5, 0xe9ca875e, 0x2f6e4d97, 0xdb94ce8b, 0x74899014, 0xd9017e95, 0x46ad33a7,
+    0x9b9fae42, 0x31aae551, 0xe6c32d84, 0x0e37bea0, 0x67045169, 0x49a40929, 0x58afdc73, 0xdf1260f6,
+    0xa6766533, 0xf91ca2e0, 0x574f1787, 0x961e82d9, 0x1a26f7ac, 0x8aa3e1df, 0xefbdd0a8, 0x5b31b1ba,
+    0x88ecc596, 0xcb6d5dd7, 0xb315b275, 0x95b4f5e9, 0x3174be01, 0x1459031f, 0x576da104, 0xca5e06f8,
+    0x357d659a, 0xba583977, 0x9ddf6ac9, 0xbf2cdf47, 0x4e4c6166, 0x53b0f8b4, 0x41a7be44, 0x678bd013,
+    0x034f1734, 0x751d6455, 0xfe69a2a7, 0xe52055bc, 0x2b071155, 0xcd151595, 0xb56b0d14, 0x41277af7,
+    0x7d282174, 0xa288e36d, 0x46ac4089, 0x4ef236c1, 0xde774dea, 0xcba28fd6, 0x7360510b, 0xea1b98c6,
+    0xfc942fc0, 0xdc6f8908, 0x56ca4787, 0xfb255965, 0x81a37838, 0xb1d3a906, 0xe64cf7b2, 0xe1b38d6e,
+    0xf8c9f875, 0xbe1ae08c, 0x1e9ef3a0, 0x3ecbd137, 0x95a4f3ee, 0xbe4134a4, 0x1f02b70a, 0x0bb526f5,
+    0x2a4f6bd1, 0x5b4ded9b, 0xcf66f2f1, 0x9bf213b6, 0x4bc0ecda, 0x0eefbb78, 0x8e401f91, 0xa80d66b3,
+    0xa36aa547, 0xd2c3c285, 0x954af4f3, 0xfd6d5cd8, 0xceee2f31, 0x5867aa74, 0xd51394e8, 0x6c118a4a,
+    0x257f3a3e, 0x60755643, 0xea55db95, 0x2fd42e06, 0xed47b961, 0x2bfe24cb, 0xa87fd926, 0xaa19be5a,
+    0xf2b4057a, 0x0837d3ba, 0x517c05f7, 0xc291fc69, 0x31670e3b, 0xd5547330, 0x3995bcc1, 0x557db052,
+    0xd24c2efd, 0x270ed68b, 0xa7f9a7c6, 0x02a4caff, 0x42036ca4, 0x228cebf4, 0x8cfa750f, 0x952bcf6b,
+    0xc708d238, 0x0e8ab90b, 0xc3e2b3ba, 0x75637b15, 0xfb4760d6, 0xab85851d, 0x2a21169a, 0xeab29c7b,
+    0x00000000,
+    0x5fc9257d, 0x0979a371, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000009671406556917033397649408 */
+  { 0x00000000,
+    0x34a4dec3, 0x5b85a35a, 0xe06ba16f, 0x161531ab, 0x7b7ecc2f, 0xb59c028b, 0x9af76b4b, 0xeac249de,
+    0x0a22453f, 0x750d1e2c, 0x0fb11bd7, 0xc5376d61, 0x7e7bef36, 0xb0cc29e3, 0x7865183d, 0x8240c8d2,
+    0x496088a5, 0x854a7468, 0xccd6353d, 0xb82499cc, 0x2149b2cc, 0xcadb5130, 0x78cbc15b, 0xed02d4f9,
+    0x8543d6cb, 0x79e2028c, 0x49e558a3, 0x83e64e5c, 0xe4d20214, 0xba701a08, 0x90b8931f, 0xc9d65d2c,
+    0x2c74e649, 0x54338478, 0x2cef1c1c, 0xe7d102ff, 0x03ac4089, 0x5b823672, 0xd7084fc5, 0x5c2d1034,
+    0xe00c98c1, 0xfecb628e, 0x80d2bdd5, 0x4dc08dc8, 0x94a10e9b, 0x969e0d01, 0xbd8fd4ae, 0xd427c012,
+    0x6b1e43c1, 0x3e06829c, 0x7b9f1c95, 0x0fc31fb3, 0x04c5bbb2, 0x44a6efe6, 0xb7f17a5f, 0x2bade2ef,
+    0xf2ce35cd, 0x7bde8a0e, 0x460a5bd7, 0xf47a68d0, 0x00306513, 0x6ade25d9, 0x85500d63, 0x3c22a023,
+    0x346f3cbe, 0x756aab71, 0x30c5e73d, 0xaecad628, 0x1a13a97c, 0x509043d3, 0x8f89f173, 0xae585ec5,
+    0x3705317a, 0x353e39f4, 0x34c92b25, 0x0936c2e4, 0x9f9984bc, 0x355b057c, 0x3713a2ac, 0x3485d252,
+    0xc8c09a55, 0x3e157448, 0x83320867, 0xf9924ce7, 0x4e92cfc7, 0x7c5f272e, 0x35c3f773, 0x983133e8,
+    0xc24449f0, 0x12b8419f, 0x13647d98, 0xe5ba6a17, 0x46264e4c, 0x5224ff2b, 0x4085e554, 0x3ec2aaa2,
+    0xe7927ef1, 0xf3cb2c3d, 0xba6041ef, 0xe9da8a71, 0xb97e816e, 0x1065e674, 0x092b6c4b, 0x64232f7e,
+    0x853c234d, 0x2c4e8265, 0x676c7419, 0xb2f9794f, 0xc5b27a94, 0x91a47970, 0x67bb468a, 0xbcedf3bf,
+    0xd7b958ec, 0x571d38d2, 0x0b3e6eb1, 0xd80354c3, 0xc6dc688b, 0xe64cb4fc, 0x55fd6afb, 0x322ce908,
+    0xf4b97b16, 0xd6c3dddd, 0x7268714c, 0x044806d0, 0xe27a0185, 0x991ae0a3, 0xd71f55df, 0x2ee0f4d6,
+    0x25526c6b, 0x93eda6eb, 0x8b4cc01f, 0x4f80cc68, 0x54d8e6f6, 0xea9d5fae, 0xd0ebecde, 0xf3edc4ea,
+    0x119babbd, 0xaa2ad1f3, 0xe5c0e9f5, 0xd4360db3, 0x4fd2145c, 0x65221ca3, 0x899984ea, 0x66f718b4,
+    0x8bfc0398, 0xf41a9fdc, 0x4f75c226, 0x4ae85cfa, 0x357ee6f0, 0x39ac60f1, 0xf37bd3d8, 0x0d91ad20,
+    0xaeeb4a3b, 0xcb27ef46, 0x304a3805, 0xa30168ec, 0xa7f14e3b, 0xc00d0da4, 0x934ef811, 0x369ce143,
+    0x563fc545, 0x6c03c6b9, 0x0abec3a5, 0xd3d5770c, 0xd36ede43, 0xf807f38a, 0x5b7718dc, 0x1219ff22,
+    0x6b9bd580, 0x0f5f53c8, 0x6c4c4217, 0x74f25b42, 0x8e4f2130, 0x2f78686e, 0x51da6bda, 0x7c2a1a6c,
+    0x47e2c999, 0x5898bf03, 0x949190ec, 0xdcf2335e, 0x0a4f04eb, 0x946924cb, 0xd03c514b, 0xd6aa356d,
+    0xee85b7bd, 0x445915b1, 0x68db4a89, 0xc14d318b, 0x5e7b7b79, 0xa61b423a, 0xc1032b2e, 0x90516d90,
+    0xa309d511, 0x3cf70c76, 0x51be3bbb, 0x9f7b89de, 0x4afd7478, 0x5ed821ec, 0x83defb60, 0x1c2df699,
+    0x0d543bbf, 0xbd90c34e, 0xd5c0ef07, 0xa58a4796, 0x8ada32ba, 0x0ddef370, 0xd9f92052, 0x719f226a,
+    0x390939ae, 0xd4b58b6f, 0xa851ff48, 0x48e90835, 0x87fcc872, 0xd250e7da, 0x80fb2cb4, 0x3714cadf,
+    0x6a4589b5, 0xecccf5b1, 0xfc375be5, 0xbb5c3937, 0x75fe89b8, 0x05233363, 0x4733b8ca, 0xca76d03d,
+    0x136e9a6d, 0x903dd07e, 0x76fe03c0, 0x1e2839c2, 0x8383daf7, 0x9cb7ca0a, 0x0ee840f8, 0xdea9d6cb,
+    0x0d08cbae, 0x78cef887, 0xd487af64, 0xacad5a92, 0x18e23f68, 0xe54e1e03, 0xba9abc9a, 0xcae25e14,
+    0x41f40888, 0xd99f0ca9, 0x9c3fc077, 0xf444dac8, 0xd77b924b, 0x5ccbb5b2, 0x8d70b38c, 0xcd9dc25c,
+    0xeb0d58d8, 0x9e7a8015, 0x855b3e0e, 0x7bc74221, 0xeef639e1, 0x3477bff7, 0x1523d534, 0x9f8e3053,
+    0x638d3e6e, 0xe7e8c6c1, 0xa4ef4018, 0xfa57f457, 0x59fb743c, 0xe41c637e, 0x0359fe8c, 0x34938c53,
+    0x1cc0d275, 0xbcf825fa, 0x0864918a, 0xb1eafb21, 0x822b8af9, 0x3afa815c, 0x89ef8e66, 0x58a83c88,
+    0xbe325357, 0x50bad92f, 0x79815841, 0x2d9bb879, 0x61c2913b, 0x90a6b59f, 0xe5f24841, 0xe6c995e8,
+    0xb1e2caa9, 0xdc089051, 0xdae55715, 0x2e81a565, 0x28b1fd78, 0x4f499036, 0x9034388a, 0x16777442,
+    0xe140666c, 0x8cf1d900, 0x6adb32f7, 0xc2866e4f, 0x16cab214, 0x3de83b3a, 0x94e36e02, 0xae3f603e,
+    0xe97baa31, 0x1b5273b6, 0xf4e4177a, 0x001ef9aa, 0xad9707fe, 0x12e4cb52, 0xb9761b90, 0x6178605d,
+    0x7eb6e7a8, 0x71a71ca0, 0x5ee9626e, 0x80ec2999, 0xf81d2364, 0x3fb2f4ce, 0xf92af38e, 0x5503804e,
+    0x0593584a, 0x034b6e70, 0x1484937c, 0xfc347cea, 0x7afe68fb, 0xe49e9380, 0xbc26702a, 0x0fc58b4d,
+    0x968e0060, 0x3a609da7, 0x8079f419, 0x1ddf0cc3, 0x6b6c62cf, 0x6029d330, 0x19bc2219, 0x93b77bd6,
+    0xab9c01cb, 0x78d3dc99, 0xdb34f39b, 0xfe163f34, 0x1fff0e7b, 0x3a42556c, 0x26e97b9f, 0xdbbdbc26,
+    0x7e0526da, 0xc04f3102, 0x4f224fdb, 0x185e950f, 0xf28b0f57, 0xfa1fd04b, 0x80d0791d, 0x46662ab7,
+    0xc1bdfb93, 0x33b7ad16, 0xac5df731, 0x64453423, 0x4cea3edc, 0xfab8b5fb, 0xc9802ac8, 0x00142b97,
+    0x5806568c, 0x8d1aef33, 0x9d316004, 0xe92fbe83, 0x154a387d, 0xaaad96fb, 0xeeaad6be, 0x46923191,
+    0xa1864f05, 0xfcc433ff, 0x893a5418, 0x2a7626a9, 0x50024b87, 0xa19bba9b, 0xb9538a68, 0xa0bebea9,
+    0x78e7c048, 0x714523b5, 0xeab66d0e, 0x36fa4028, 0x4e9b83d2, 0xa2ecefc5, 0xedab5040, 0x9d44a6d3,
+    0xdcdabbe4, 0xc1868ea9, 0x47c9a017, 0x6f407622, 0x0fc9b24e, 0x6dae9fde, 0x0d0d8826, 0x6a546b58,
+    0x5912b8e5, 0x0cae7044, 0x7c771f0e, 0x9bfc82ac, 0xc1338a74, 0xbdf40c07, 0x057f1fd2, 0x717387bb,
+    0x56911192, 0x07b10fd8, 0x2a60bfe3, 0x46c7687b, 0xcd06ef4e, 0x596e25c1, 0xa719cb20, 0xa2fc5480,
+    0xd19d94b1, 0x4b581b85, 0xfa43f199, 0x4ba689d0, 0xb1cd6c99, 0x1eeee696, 0xcd8259c0, 0xf5e58dde,
+    0xdc72bc86, 0x434a094f, 0x2333e2f3, 0xa730a006, 0x4d2a48ba, 0xdf560f19, 0x8149226f, 0x4bffbc29,
+    0xd6dbd901, 0x22761264, 0xb76560ac, 0x4b30cbed, 0x6e8ce6d3, 0x0f873014, 0x3ec44866, 0xd21a315e,
+    0x394d44b5, 0xc3fc39da, 0x5e6d3b39, 0x04afee6a, 0x1afd6257, 0x9ab41eb0, 0x3d87d073, 0x59489376,
+    0xe48db262, 0xa2c3e187, 0xa71433f8, 0x0700cfb2, 0xd45323b3, 0xce118b93, 0xbceb26d4, 0x1e7c8da3,
+    0x3ed48db7, 0x54d5ad45, 0xb25ca4ae, 0xf581bb1d, 0x9bb083a6, 0xce75d1aa, 0x5401d1ab, 0xb1276f8e,
+    0x0557dd1f, 0xcab97da0, 0x6018b05f, 0xd8e1c4f4, 0x1f24aed5, 0xb9490d98, 0xe1534fab, 0x9e63dfa4,
+    0xbb6999e4, 0x417689d2, 0x8fad942f, 0xcb411aed, 0xf4033668, 0x6c7988b0, 0x12a0266d, 0xbaf6da6c,
+    0x9995c2b8, 0xa985ba3d, 0xc9746316, 0xac6de489, 0xfd64f8c9, 0x6f7a79e2, 0x36003ff2, 0x0825c001,
+    0x70698306, 0x8cc59d4f, 0x75686822, 0xdda9598b, 0x211f4161, 0x1fb0b4bf, 0x7244a2a4, 0x71e66e19,
+    0x99d596af, 0x12176bef, 0x4b1e6eab, 0xb2b2219a, 0xde5295ad, 0xc6cdb26e, 0x0fb80543, 0x319b4280,
+    0x5cfff6e6, 0x38df1694, 0x767b7060, 0x789b37d8, 0xe9e1a374, 0xe10a3a1e, 0x2ec53f68, 0x1fefffbb,
+    0xb8e4a07c, 0xb2541809, 0xfe061152, 0xf10d7535, 0x82633d6b, 0xca532085, 0xfde03586, 0x65aaaea9,
+    0x93395bec, 0xfc3ade2d, 0xf06ddd07, 0xbc308a98, 0x705a6c30, 0x01d07024, 0x5e5d5e19, 0xf8da8ad7,
+    0x12245787, 0xa8dd511c, 0xdd01b56d, 0x45945125, 0x775d7b07, 0xef9ffc32, 0xab71563f, 0x70eda6e4,
+    0x6cd088ce, 0x3f69cb19, 0x37cb6286, 0x4c7678a4, 0xd4a65339, 0x5a6e35f9, 0xb0dedcee, 0xb22a491b,
+    0x7fdb3a71, 0x261ae943, 0x1623c218, 0xfa7dd959, 0xcaa3c04f, 0x0b896830, 0xe5f8df2b, 0x2aafb2f6,
+    0xf9bec347, 0xf5f27197, 0xc29f1c74, 0x93824788, 0x9eff8694, 0xeb815410, 0x1674498a, 0x89a4689e,
+    0x375e6dbd, 0xcdbe9ba9, 0x787b6d61, 0x2cc58715, 0x8eb15559, 0xc6cc9ac7, 0xabe1036a, 0x522dc3b3,
+    0xc767cb45, 0x08873002, 0xaf74749d, 0x7d056136, 0x37359f52, 0x3d4dfea5, 0x4d87d75a, 0x94863e68,
+    0x7ffd8141, 0xf6c89a06, 0x5e747d85, 0x44e085d8, 0x6aa10dfc, 0x20c4b359, 0x99c1856e, 0xb5dbf65e,
+    0x2e44928b, 0xca501c5f, 0x57b536f8, 0x945d219c, 0xde08cb51, 0x4d71a59a, 0x0f0b248b, 0x371668c7,
+    0x0e9ee0e0, 0xd4b6f8d2, 0x43798d60, 0x96928db4, 0x26e6cd25, 0x3d468fbe, 0x5e4816b2, 0x723f7d05,
+    0x8668f615, 0xddf18b73, 0x2f9db0b5, 0x40c3b422, 0x963ac96b, 0xcd8245b8, 0x6851e324, 0xe0b4b14b,
+    0xcce759e4, 0xf70fa358, 0xc8b2dbd2, 0xdfccaeb1, 0xdcbfabe2, 0x8afb5ebf, 0x6fa003a4, 0x4da5565e,
+    0xed1336bc, 0x4d529bda, 0xc21fe820, 0x5cd78991, 0xf6d80a26, 0x3d9ba79b, 0x81188177, 0xf0503dea,
+    0x629359a9, 0x2519f3a1, 0xca0d7b53, 0x6fa13ce9, 0xaac83f9a, 0xc6d1f215, 0x2a042544, 0xe2d9a92f,
+    0x6b585f7e, 0xcfd55cfe, 0xd772469b, 0xe0ff66d4, 0xa0b29c51, 0x84b4008b, 0xfdca343d, 0xc0c7afa6,
+    0xf0d41071, 0xd744e0ab, 0xe650cb9e, 0xc6040966, 0x767472f6, 0x60ab10fd, 0x21f4b90c, 0x88712d23,
+    0xb365098f, 0x4245f707, 0xc6464949, 0x669e242c, 0xf9c4112b, 0xb1ff77b8, 0x17d7fc0d, 0x6aca085d,
+    0x19749f48, 0x2e80f58d, 0x5b671d8a, 0x5c46b90f, 0x601370ae, 0xca92a5ee, 0x329e2a25, 0x96b8221a,
+    0xf691d214, 0x58a0ab95, 0x182db4d4, 0xb9e0a8cf, 0x38327cb4, 0xd69b5f67, 0xb0b259c6, 0x562cb992,
+    0x8a99de66, 0x2deb9643, 0x93a85f67, 0x2d209956, 0x4ff413d5, 0xe04aaabb, 0x38565a30, 0xe1e1a87d,
+    0xd5b7902e, 0xaeca16e5, 0x2d076a54, 0x6c282c26, 0xb82d4db2, 0xad5c7464, 0x37cf6375, 0xf8d77ca1,
+    0xbe1d194b, 0xf43586d8, 0x25ed43b4, 0xef44cf67, 0x581d4ee1, 0xde004150, 0x621f7005, 0xff5d625c,
+    0x85f0cc90, 0x5bf45366, 0x3a5dd6c9, 0xce69f7e7, 0xb589cb12, 0x437a8037, 0x07f31254, 0x2f43311d,
+    0x4d83fcd5, 0x513c7bed, 0x3f26f019, 0x3be47e51, 0x3c721ba9, 0xbf0c83c4, 0xc993c629, 0x2903a361,
+    0x3b5325e0, 0x2d17c5fe, 0x203fac1e, 0x658d8b0d, 0x8dbf5196, 0x80e5c22c, 0xbb5bddfe, 0x4ebca2bf,
+    0xf3d3fcb4, 0x31a86cce, 0xb7bed735, 0x60006673, 0xf427f035, 0x2eef35ae, 0xe45c789b, 0x192e0553,
+    0x49ef27ea, 0xced7850c, 0x64ee88d0, 0x7cb2cfce, 0xfc2a8f75, 0xb512b7bc, 0xc51f0320, 0x8b04f0f7,
+    0x129b8b20, 0x0562ed89, 0x1a1a43fe, 0x4e064dc2, 0x0c6cc376, 0x2ad7081a, 0xe19463b8, 0xc482d445,
+    0x63687c29, 0xd884bdea, 0xd73b0596, 0xca015b13, 0x33c9fc89, 0x2879a1a8, 0x6dc382d9, 0x9eaf6853,
+    0x1d4ae26c, 0x52a46798, 0xda568aa0, 0x7fafb926, 0xbe449e63, 0xf714c671, 0x3aa3e628, 0x36ee9c4c,
+    0x7fc23393, 0x85d988df, 0xab37b59f, 0x16b9e769, 0x69eb39b0, 0x00ed5a64, 0x128d523e, 0x4a690c5b,
+    0x3f018a99, 0xc70b09ad, 0x9b499d24, 0x8313b1de, 0xf65d2f6a, 0x3c024f64, 0x9359c7c8, 0xa853c6c7,
+    0x0829c18c, 0x7fe1b7e7, 0xe5ece921, 0x04e49c1a, 0x04d687ba, 0xcd477a10, 0x7dfc400b, 0xf22d034b,
+    0x8c6baefe, 0xe6f3b336, 0xf7766c85, 0x59dd5909, 0x0fac400e, 0x4fe71198, 0x914e3501, 0x80d2eca6,
+    0x7d23832b, 0x28b31842, 0x54e77501, 0xacdcefed, 0xd6a81717, 0x1864808e, 0x5554d106, 0x38610d5e,
+    0x90f9dc77, 0x3377e6b2, 0xca9e3c04, 0xaa6940a9, 0x3901f274, 0x48bebcfc, 0xf96b5aa1, 0xab1a22ca,
+    0x71eb4da1, 0x18ad7f43, 0xc83a67ae, 0xa9df5404, 0xe73669fd, 0x224a51f5, 0xb3e7a361, 0x3ffba962,
+    0x58c0212d, 0x11c67169, 0xee54200f, 0xfec40a07, 0x90c03d00, 0x4ac8b600, 0x5b3ccd86, 0x48337306,
+    0x7dc8e574, 0x81dc047c, 0x6ff68b1f, 0x872518be, 0xe951cc8d, 0x3f422323, 0xad4a0863, 0xf4ec71c6,
+    0x3d25bd3b, 0xed5c51a0, 0xdf1f4263, 0xaa742e53, 0x0b6ebc79, 0x6261f496, 0x4190ce6c, 0xd176c4bf,
+    0xe70c5b71, 0xea0de045, 0x1c13d727, 0x0c626b7a, 0x5f5b8c5f, 0x08c2ec40, 0x20abeab8, 0x75d757f7,
+    0x04d68886, 0x7d44a036, 0x53436a4a, 0x99f08e95, 0xaab0fac9, 0xc12e2163, 0xee7725f6, 0xd92d27fb,
+    0x2caf90f3, 0x33d61e3f, 0x0d8e1158, 0x844b5390, 0xc47951c2, 0x0aab39b9, 0x66d7c982, 0x2c77938c,
+    0x906b2d62, 0x759facf5, 0x7b3d4028, 0xe7bf41b4, 0xf9afe232, 0xfd83671b, 0xf785b25c, 0x53c0d55e,
+    0xbb9e6ca2, 0x01277044, 0xde0fe2f9, 0xc9c1a224, 0x8059f5fb, 0x787f7a6c, 0x798cfee0, 0x2599c12b,
+    0x6e997dcc, 0x055dedac, 0x73aef53d, 0x5ae56609, 0xe94276a6, 0xff6f7d31, 0x802bffbd, 0x211723d4,
+    0x148ba769, 0x68db1193, 0x68624c27, 0x9dd5d8d9, 0x5905072e, 0x54662e18, 0x5b7563e2, 0xb19fc635,
+    0xb6ad0a8c, 0xb93c8393, 0x6c138022, 0x6471785c, 0x2b51844c, 0xafaf9db5, 0x09026151, 0x3be31a65,
+    0x9cac55ad, 0x0229924b, 0x5d75342d, 0x90c69cd3, 0xfe97ca17, 0xc1ad4ec3, 0x7f2355c6, 0xcc8eafe6,
+    0x16f225fc, 0x6635b873, 0x140c6eb1, 0x46ea5a25, 0x57e37063, 0x05503665, 0xeaf67748, 0xaad182e7,
+    0x6db1ee4d, 0x7348c68c, 0x31b62665, 0x9a665f4f, 0xa2bf5d0c, 0x29979ee3, 0x5c5677b4, 0x0239b6d4,
+    0xe89bb4e4, 0x8b69d1fc, 0x19b4cd4d, 0x593d2f48, 0xf1a3ab54, 0xf9b7f368, 0xf1874bbc, 0x5e2a8db7,
+    0x8f5a78a3, 0xf8499831, 0x4b4f5af1, 0xd4bbd46b, 0x428bdf45, 0xae917a11, 0x1964a60c, 0xcef0e994,
+    0xab35c453, 0x5285045e, 0x216ca761, 0x7d39f10a, 0xe089c48f, 0xf8922f9c, 0x9a6ccc74, 0xd08899f5,
+    0xd32607b7, 0x07965c0a, 0xe17838b9, 0x89e85c76, 0x97e8f925, 0x44f211e0, 0x0c290bee, 0xd37ffb25,
+    0x07957850, 0xeca4fc27, 0x646a86f8, 0x964b61cd, 0x1a603bcc, 0xbd954125, 0xc089b44b, 0x23ffaf66,
+    0x2298cbef, 0xb0e69286, 0xde256e0b, 0x3a6dc727, 0x3972547e, 0xf983c8da, 0xeb080675, 0x5cc55d98,
+    0x1580315e, 0xcde34514, 0x317f4904, 0x1a3298d9, 0xec46804a, 0x5ff18c0a, 0x092b41ae, 0x1f7f012a,
+    0xbc04cda3, 0xa0352fea, 0xde3581b8, 0x3195b742, 0xd1aedf2a, 0xa11559b7, 0xceb4e454, 0x5369faac,
+    0xf317c5f2, 0xba5164fc, 0x1b8947c5, 0xeeaf2439, 0xd9e852c5, 0x74479fd9, 0x8efa3a35, 0x22785328,
+    0xc8c3ec6a, 0xa993f77a, 0x8155d4d6, 0xa3ce18b7, 0xdd282f9d, 0xc4652938, 0x0674d2e4, 0xcef84598,
+    0xf061a16a, 0x1058ed5b, 0xc46400e7, 0x9ed431d2, 0x13859e5e, 0x5da74a95, 0x47b1852f, 0x7e9af7fd,
+    0xd44c42f9, 0x0e36c9e5, 0x8588bd2d, 0xd2909cb2, 0x25520074, 0x840bbc6d, 0xbe8dad76, 0xad5303ef,
+    0x00000000,
+    0xafe492be, 0x84bcd1b8, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000004835703278458516698824704 */
+  { 0x00000000,
+    0x988fcaf2, 0xab6d474d, 0xe666f369, 0xe7c15504, 0x6f3a0720, 0x9894ef87, 0x6e6157f9, 0x5d78cb87,
+    0x0ba33af7, 0x20b55a23, 0x44338c69, 0xc06a0ea6, 0x680d6cdc, 0xcb9d468c, 0x9b248aee, 0x995242bf,
+    0x579b14ce, 0xed62d42a, 0xa95603ed, 0x9e081045, 0xd85c3d5a, 0x0216c210, 0x1fa476d8, 0x23599b2e,
+    0xbe82d58e, 0x9d5f5734, 0xcc10faaf, 0xb0c6b363, 0x3111a045, 0xa6d5bd28, 0x66888a45, 0xf6a37db2,
+    0x26d0163d, 0x91817202, 0x88941f13, 0xeafe2c2c, 0x8c22e387, 0x263da601, 0x980c30f8, 0x9dea0775,
+    0x91601521, 0xb168c09e, 0xbee102de, 0xefa1f5d7, 0x2b0c4753, 0x3e7f31dc, 0xb00443a5, 0x17626057,
+    0x11074586, 0x6c32a9a8, 0x5e006aa6, 0x76ee8148, 0x1b248c80, 0xda9ff366, 0x68a5ab25, 0xfedc2b3f,
+    0x01a7191a, 0x7ac967a5, 0x814660d3, 0x60876f6d, 0xc4861253, 0x56be5b48, 0x8ee65222, 0x6f1249f4,
+    0x1813ae0b, 0x88b17f58, 0x751310bd, 0xb0ac5dd2, 0x08baaade, 0xb0e02ada, 0x11fe8f01, 0x7decda2b,
+    0x964b8826, 0x083f84cb, 0xd15f35d1, 0x2cd8e31e, 0xb2f809f1, 0xb6b280df, 0x8ed219e3, 0xc929c841,
+    0x2250b813, 0x7541d7f4, 0x48906c21, 0x7e895914, 0x8e9244e2, 0xc224074f, 0x9c585825, 0x71b95148,
+    0x45af0caf, 0xd00e6627, 0x81eb1476, 0x53ed95bb, 0x3665940b, 0xc68be672, 0xf8459c66, 0x27b9805d,
+    0x56b2eef3, 0xfd2ab3e8, 0xbd6ccb35, 0x5c386a84, 0x684c74ce, 0xb5d6159e, 0x2ad9a572, 0xdf58034d,
+    0xefecb1cd, 0x1f10f5ed, 0xca0a6199, 0xaedb0817, 0xad45251c, 0x55246b2f, 0xf51bf5ba, 0xc15df517,
+    0x8024a905, 0xc8342e65, 0xefd5f06f, 0xa1ec4246, 0xc119f2ed, 0xb74f5dba, 0xdacb6911, 0xed4d3360,
+    0x1896125f, 0x9a3ca0ce, 0x481b5f91, 0x9926e13d, 0xf32d636c, 0xbaa8616f, 0x6070ec90, 0x12c47ea3,
+    0x04c256ee, 0xeae656a8, 0x789c3d2f, 0xccd85842, 0x1792208c, 0x377fafcb, 0xe14796e1, 0x38886dd9,
+    0x6a08e655, 0xebabb9be, 0x1dd5508f, 0x18029845, 0xf6955fd2, 0x1a0ba895, 0x7e453c09, 0x332b637f,
+    0xaee8f514, 0x6ae7a340, 0xa1815717, 0x86496bcd, 0x9bf6d164, 0x9a25690e, 0x82003522, 0xf198195f,
+    0xe2ead8df, 0x8f24c4dc, 0xfd13e0e6, 0x7488b459, 0x4315b28a, 0x28310a9f, 0x3fd66e18, 0x502e61dd,
+    0xad38fd49, 0xd71fed27, 0x155692af, 0x02cc137e, 0xf607366d, 0xf21533c5, 0x931edbe0, 0x967e01f6,
+    0x0324df5c, 0xf75bbd88, 0x6874aee1, 0x10a96ff8, 0x07810aa7, 0x7c80ef43, 0x88084ad7, 0x17171174,
+    0x1338354a, 0x357cd208, 0x9657f2e2, 0xcdf64d37, 0x2657eba1, 0xe1cf4884, 0xc2c2198c, 0x66c297df,
+    0x46243f4c, 0x99100045, 0x3bcdd0f3, 0x2971ff7d, 0x99a02d2d, 0xce83970f, 0xe0436bb8, 0x0f8bf35b,
+    0x34288cd4, 0xc30dc648, 0x20c3d7f1, 0xe1ba36ec, 0x17b55013, 0x01ed3131, 0xebf82cbc, 0x2329e332,
+    0x8d2a3ed0, 0x4a29f4f5, 0x0bb16710, 0x43ccfde4, 0x2fe63ee6, 0x276475af, 0x9d32eddb, 0x72fbadcf,
+    0xccf86813, 0xe22aaf3b, 0x5bd32f91, 0x76d570ac, 0x961b9a01, 0xd3ef69d6, 0x35ae6718, 0xc384c02a,
+    0xeaf0931c, 0x2607748a, 0x507ca428, 0xfbd8b9b2, 0x26f9c7cf, 0x7a1ff8c6, 0xf4c5f0c0, 0xc5f75cde,
+    0xa8c401dd, 0xb378b288, 0xd7b2b0da, 0x6b8dd470, 0xf5697ef7, 0xc35bbb4c, 0x4bafa2dd, 0xffc6d719,
+    0x105ff165, 0x6a8feb0b, 0x3d2cbd72, 0xf185b39c, 0xab5e5b0a, 0xc3be6d0e, 0x3bf03bb3, 0x763e523e,
+    0x51179a58, 0x14219cc4, 0x9316a871, 0x74fa7476, 0xe8900db0, 0xf72e23be, 0x5a355bfc, 0xb25b0ed6,
+    0xfde91b4b, 0xde8d89f5, 0xbbdeb12c, 0x7098d568, 0xd3e716da, 0x6f62c6e8, 0x35441738, 0x8c7e6813,
+    0xdd83b664, 0xbe0986fc, 0x7de5b27d, 0x6184e939, 0x2144c14e, 0xdd6c715f, 0x5a50be07, 0x2315ac73,
+    0xd9434dc6, 0x888694d2, 0xcbbcce22, 0x6035c259, 0xf9d9bf97, 0x1da81671, 0xdd223dc1, 0x6c31b745,
+    0xb58847ec, 0xaf36c1e2, 0xbc0b5212, 0x31ef3765, 0xdca1bc4e, 0x5876f50e, 0xb2444875, 0xeb166c5d,
+    0x219ccf4e, 0x3efd94dc, 0x9634b007, 0x04ec7837, 0x71e9ad98, 0xaf5ecb83, 0x6626cb11, 0x442dc7cd,
+    0x62f98eb4, 0x93ebcf11, 0x4d2f974a, 0x2b340c4f, 0x51a10fe5, 0xae1918b9, 0x1eceacbf, 0x7c5ce39f,
+    0xdb11ed3e, 0xed705315, 0x108da4a8, 0xb429cf5f, 0x11fc37ef, 0x224abdfe, 0xadcc70f4, 0x46c39408,
+    0x37963dec, 0x6806858a, 0x6509a02e, 0xd1ad76e2, 0xd87827db, 0xa5ff575f, 0xa4090687, 0xb1aaec0d,
+    0x010fadc8, 0x3d546e19, 0x5ffee713, 0xec47831c, 0xede00a8d, 0x95d35213, 0x0689b1ef, 0x8427a7df,
+    0x03685ca3, 0x86abc2da, 0x61eb1adb, 0x6c031922, 0x08e6ae4c, 0x88504325, 0xfe1b0771, 0xf5bbc8c1,
+    0x6ee14564, 0x73d08795, 0x54823ac0, 0x5a895ee3, 0x46c53440, 0x45822438, 0xa39ea59f, 0x77e24136,
+    0x440e6ed3, 0x762c4b72, 0x6c9e306c, 0xbc72d44f, 0xbe3b3c1e, 0x2072a21b, 0x3bb0a4de, 0xc2b7ae2e,
+    0xa84e0877, 0xc595d2c5, 0x7b0fcec9, 0x06d06f56, 0xddbd6edc, 0x5e92c05b, 0x782f557b, 0x8a1e7138,
+    0xbdd89538, 0x089dfd4b, 0x33446b57, 0x6c72cd57, 0xd797a2d7, 0x65a27a84, 0x6f80ec33, 0x6f03af1e,
+    0x70c26a76, 0xa6edcee6, 0x3cea0a5e, 0xa183d313, 0xfa94ba83, 0x07f446e6, 0xc0a88f7e, 0x2d0b2bac,
+    0x4fac285d, 0x5537e8c6, 0xfd288f8e, 0x33a157c6, 0xc9bee1db, 0x42bc2b1f, 0x50d6c3ad, 0x5e3559be,
+    0x9ffad467, 0xb4889b81, 0x2841b991, 0xb8cbfa3d, 0x7b8be6d0, 0x68d77361, 0x25a3d52e, 0x33ddad4a,
+    0xbe8361ef, 0x4009fad7, 0x29c708de, 0x7905bef0, 0x93c98c06, 0xb7e8a37e, 0x8977756c, 0x52880c96,
+    0xc15c2225, 0x81abb41f, 0x063f8ed5, 0x6d5d3121, 0x2924de5f, 0x0a047a69, 0xc99cea0b, 0xa2233f62,
+    0x4f67f1ef, 0xe3086432, 0x220d7191, 0x8bea6e05, 0xf3c97dad, 0xc6bcf8f6, 0xcc5830fe, 0xe83eabfc,
+    0xe3e65752, 0x00d73610, 0xd444d184, 0xb231c4cc, 0x366db047, 0xddab6926, 0xbba686f1, 0x9400c1d4,
+    0x4db363c9, 0x157532fe, 0x7c75fb7c, 0x90dfb89d, 0x5e9cbe2a, 0x747ecdb7, 0xa70968e1, 0xe006861c,
+    0xc1a54308, 0x1907421e, 0x1f0519b4, 0x97124e53, 0xed31de22, 0x077a9130, 0xd4ba52ac, 0x7ca1e419,
+    0x3ab0f857, 0x41c3c7b2, 0x15486d11, 0xfa2dc338, 0xc0884560, 0x556be53d, 0x5dc4bf4f, 0x656e5f1e,
+    0x1a43d7cc, 0x8c0d2804, 0x9c9ae2e0, 0x40a63596, 0x2c30f86b, 0x98cc5b76, 0xcd1407fc, 0x375fbdf7,
+    0xe5d01483, 0x7e9da52c, 0xddb18a98, 0x0a5ab206, 0xa1745783, 0xae47103a, 0x1be5dd55, 0xc164d3dd,
+    0x6e729d41, 0x69ed0a94, 0x3cf6790d, 0xfc8ba7d4, 0xb50896b4, 0x33de8def, 0xd09fa9f5, 0x9dc7cda3,
+    0xdb13b2c4, 0xb9d06b56, 0x70893f9a, 0x34ec4e94, 0x1f364e19, 0xc68bf874, 0x99c08471, 0xd52c870a,
+    0xe79d065e, 0x7c0fb4c8, 0x98c4d7e1, 0xf37f19f5, 0x39696f1c, 0x420327d1, 0x84e634e9, 0x78d9a307,
+    0xa5e62d77, 0xe896a4e5, 0x6425c1be, 0x56923b9a, 0x86c65d8c, 0xe0d233f7, 0xc9e9ce6b, 0xa8014a3f,
+    0xdaf86b21, 0x34713d46, 0xbdcf526f, 0xdf4b169a, 0xd3208862, 0xc3d944d4, 0x04c46ef5, 0xfa5996e6,
+    0xac5fa737, 0x3e963c8f, 0x6d4a0309, 0xb91cde56, 0x8fde8361, 0x068bd814, 0xf9fb5c24, 0x0c1acaca,
+    0x454078f2, 0x54b638b9, 0xba9aa90f, 0xd4ee6efc, 0x811a7cdc, 0xce1585c9, 0x15d0f4b2, 0x4b65022d,
+    0x426646fc, 0xe675b251, 0x78a93a7f, 0x1f7bd1b8, 0xb2e2e1ca, 0xec02e83c, 0xb5bc6346, 0xde3913b2,
+    0x87bc0bab, 0xea786aa9, 0xc440e8ce, 0x91eb2750, 0xf638d828, 0xe58623f8, 0x8483de6b, 0x8a5f5cd0,
+    0xa667d21c, 0x4c836a07, 0x7fa9c8a3, 0xe1795bb6, 0x1e49a24a, 0xfab43fe5, 0x893ecff5, 0x97ec6adb,
+    0x80df9581, 0xb4e69cdd, 0xb400dc9f, 0x071f96d0, 0xf9407ae4, 0x0b4bb3c2, 0xe41dbd14, 0xe365823c,
+    0xb61f723b, 0xc4e4b4cc, 0x0060fff1, 0xc9b8012d, 0x20a25acd, 0x0b53b534, 0x43f1d1d6, 0x038d8753,
+    0xb7d4812d, 0xd8ba33b4, 0x71fbad6a, 0xf602299d, 0x28f7b86d, 0x2b5e8080, 0x27ad7fcb, 0xcbfe0ae6,
+    0xb7efabfa, 0x286cc13d, 0x8a1c04ff, 0x244da86d, 0x680f630a, 0x0ad74217, 0x7a21df3d, 0xa032296f,
+    0x8080cd82, 0x389ff066, 0xffb74c56, 0x320939bc, 0x22ca41c3, 0x716115ca, 0xe7a685b3, 0xb9ff0dcc,
+    0x0b1028b6, 0x5adba935, 0x4121cd2b, 0x5ca0bbce, 0x766981eb, 0xb1d2ba9c, 0xbc39f2cb, 0x2f5b9305,
+    0xeab081ce, 0x5f59e056, 0x72b41bae, 0xb2cfa7ef, 0xdeebf34e, 0x1677f3cb, 0x2c88b4bf, 0x6af7c61a,
+    0xef7273ce, 0x005d4948, 0xc6fff9f2, 0x14a53675, 0x71e5ec98, 0x7e7eadfb, 0x92b288ad, 0x4ea43dd3,
+    0x6d984c91, 0x1fca9861, 0xaf49ebbc, 0x3b00e4cd, 0x115bbdcb, 0x6e514673, 0x6bd42592, 0xc15e9a28,
+    0xdb7218ac, 0x772669ca, 0x56a698c0, 0x6ac7ce01, 0xb72a13d3, 0x1c00e007, 0x57bdceef, 0x55fa51c0,
+    0xd83f7ab4, 0xf028b55e, 0xb37c21fa, 0x40c25902, 0x4324e7a6, 0xe133adfc, 0xa86e54b3, 0x419d705c,
+    0xa44a2f20, 0xed8689a2, 0x0c87e53c, 0xf490a859, 0x1d381960, 0x00502f21, 0x20c6edff, 0x7d074a5a,
+    0xff7309b3, 0xfb480641, 0xe4ee607a, 0x4798d99a, 0xcbd10b81, 0x6f505981, 0x7b5e3769, 0xb4bae805,
+    0x608c2fa4, 0x5b052b73, 0xd0b0db21, 0x1dbde42c, 0x49523d29, 0xdde3992f, 0xc1ac182f, 0x7adbd599,
+    0xe2c53784, 0x75816282, 0x5713a2e1, 0x58a8f9e8, 0x8454d0d5, 0xe9b6282a, 0x71b9d1c2, 0x07c0d776,
+    0x3c149d97, 0xb2a386ea, 0x1d101339, 0x5923c8ac, 0x49a71fa3, 0x9bf72c9d, 0x3af5dd99, 0xd7e0d508,
+    0x39f6aff9, 0xa23ed301, 0x6c3a7fef, 0xb8d40528, 0x01435407, 0xf09c604c, 0x4430f006, 0x5aa7785e,
+    0xde0e9df4, 0xfdc023c8, 0x60371e49, 0xded8b4cd, 0xcd2bd5ba, 0x70beb71e, 0x762b4e98, 0x74942471,
+    0xae2ba469, 0xb54fa413, 0x510c3e66, 0xb17f2f41, 0xdaed3d14, 0xac4f7ab1, 0xac9a07a4, 0x01d29074,
+    0xeb3b4fb5, 0x0d36feec, 0x841d6f61, 0x5825dc4f, 0x0d06680e, 0x06c8490c, 0xde1fbe5c, 0xeb277473,
+    0x9b4459c0, 0xeb249e4b, 0xdb07c6bb, 0xccd368ce, 0x891d20ae, 0x8ba67726, 0x2730a188, 0x19b4e53a,
+    0xdc54d16e, 0x3cbec1ae, 0xa139cff9, 0x44b18d83, 0xef952119, 0x54f53c05, 0x09468efd, 0xbbe51a86,
+    0x45effb35, 0x011b711f, 0x5095580e, 0xb7465ead, 0x24ee84ed, 0x3a03e208, 0x9b0a9686, 0xb591d6b8,
+    0xa36ed46f, 0x97928919, 0x5fb0c55c, 0x19e80861, 0x1f170f6e, 0x3ba98763, 0x5b55814b, 0xe57cddb7,
+    0x13adf121, 0x6ddc6513, 0xff1eb885, 0x14b0557a, 0xfcd4baee, 0xab07a277, 0x787b6a97, 0x565f201b,
+    0x706be660, 0x635d6513, 0x9d79b632, 0xc6c416c1, 0xc4a90400, 0xbc523e02, 0xc62df0a8, 0x8a9e0f39,
+    0x9d6b9b47, 0xb8375acb, 0xe9a271ed, 0xf311bfc8, 0x6491b7b9, 0x62b645f6, 0x6b5889ff, 0x50fef60f,
+    0x9ea7f7ce, 0x322cf40d, 0x032f50e3, 0xe5120d01, 0x8497e61d, 0xac04f6d6, 0x3164da1f, 0xb4dc0791,
+    0x6aeb11f8, 0x1fce4d83, 0x8928c45f, 0xa24a870f, 0x4bde60d3, 0xe735a3dc, 0x4dfd5d83, 0xf786b2ba,
+    0xfa3d91cd, 0xc9df49f5, 0xac49ba9f, 0x173f9826, 0x69f9f924, 0xf262977d, 0xc1fc137c, 0xf7f18c83,
+    0xb63fc06e, 0xe7c25eb6, 0x9608b120, 0x38714e9c, 0xa92047b3, 0x85a2bf68, 0x57aae8e2, 0x86495d88,
+    0x21990347, 0xa3968b5b, 0x70ea4374, 0x3907fb2e, 0xd71b961a, 0x120988ca, 0x2f074abb, 0xb6bbf274,
+    0xfdf5cad2, 0x9624c203, 0xd764eeb0, 0x7f138e49, 0x2ce712bb, 0x4c45d326, 0x39f2bd79, 0x09da9008,
+    0xe73c387b, 0xaaa7b76a, 0xc61ffe1e, 0x4d5ba155, 0xa515b789, 0xd95c2fa2, 0x06bb4079, 0xf9b0cc52,
+    0x60b9e13a, 0xd6d48dcd, 0x7b2c72f1, 0xa8fb32ee, 0x55e5ae04, 0xf9f7a8ca, 0xfb948e86, 0x515023c9,
+    0x652b4ed3, 0xcd67bd3c, 0x2a1b55a9, 0x611e3d0e, 0x6a671dd0, 0x761b3324, 0x5d44ca91, 0x3c7d34f0,
+    0x146b589c, 0x1586698f, 0x12e31947, 0x0c13f175, 0x8de6bb06, 0xce92f1be, 0x0d2d5845, 0xc584c6b0,
+    0x67b8c9eb, 0xd0b9bdc3, 0x892a313f, 0xc9e6ecfb, 0x7d299fca, 0xbd7972c3, 0xc58c2edd, 0x426e0836,
+    0xed0e0e7c, 0x02c942da, 0xf0cc58c1, 0xe29b4346, 0xd18f8ca7, 0x1b357472, 0xb4bffbaf, 0x78168346,
+    0x562f3356, 0x466afb5e, 0x675758c1, 0x1446c4fe, 0x704c18b8, 0x4f6f6ae1, 0xfdaf9ceb, 0xc0ef905d,
+    0x50046fe6, 0x7e1ee7c9, 0x72a406b3, 0x014bba7b, 0xb0fc4980, 0xbbc641f9, 0x1cccd5de, 0xbfa644b0,
+    0x06702fe7, 0xc9ee4496, 0x69449364, 0x2279b6b7, 0xb91a1859, 0xb9ea3024, 0x1a8c9525, 0x6f57032c,
+    0x430271e8, 0xcad39462, 0x768ee537, 0x97d9121c, 0x2eacd828, 0x9d8e3bd4, 0xb1e0a1bb, 0x031f9c7e,
+    0x968da5f4, 0x60e3eb11, 0xe1daa55a, 0x3f7c9b05, 0x719378dd, 0x4dfeabdc, 0x73f14f13, 0x5b480df5,
+    0xadd4434e, 0x064585e6, 0xb29a7c0c, 0x140ab8e8, 0x7460f657, 0x358ae7c1, 0xb617b04c, 0x91f5ef2c,
+    0xfb3d903c, 0x89e90d3d, 0x6e565114, 0x1a3473c2, 0x44bbde6d, 0x09f22c1c, 0xe55977d5, 0x96c5ca25,
+    0xf6f4e2a0, 0xa7d4fc0a, 0xbdf82565, 0xe12beb15, 0x829d65f5, 0xb578ed0e, 0xb6f47f57, 0xe1fdbdba,
+    0x0f0ab2fe, 0x7be39b24, 0x9135e7f5, 0x6ae87289, 0x894e2f97, 0xeb0db98a, 0x942cace6, 0xc02f31c7,
+    0x730a81dc, 0xdc7edb88, 0x83cfc28f, 0x5f87fcd9, 0x63a90510, 0x4af763f9, 0x107884e1, 0xbef41d42,
+    0xbbcadffa, 0x10d1cbfc, 0x0b4759cc, 0x23f35363, 0xf910bc2c, 0x2e8f6f1b, 0x083fbfd5, 0x5634fe90,
+    0x3d45f189, 0xbf766770, 0x98cda57e, 0x87cec5b8, 0x19fc9eb6, 0x42407183, 0x4fa2b9c8, 0x2a150103,
+    0x7de29e37, 0xa22f01ca, 0x765eedc2, 0x7a5def34, 0xf681e159, 0x54be0ce3, 0xf8f2ad24, 0x33ef4ca9,
+    0xf64d379e, 0x45bc0693, 0x49fac4bf, 0xa752184e, 0xe03affaf, 0x14fb6acb, 0xcab13d63, 0x5c25e6bf,
+    0x376d2c60, 0xecc67ac5, 0x087c810b, 0x0112d9ea, 0x59ae6ed7, 0xadd5b655, 0x8ddc2a4e, 0x988e5377,
+    0xb83d2e9e, 0xf44e4fa6, 0x15b80e30, 0x27e5cde1, 0xf5999efa, 0x755f286e, 0x4962b825, 0xce8e094f,
+    0x95c4e5ce, 0x98fc6d97, 0xd6b1332a, 0x8d4f9c01, 0xb9847a35, 0x497a4fdd, 0xd9623c6c, 0x29fd409e,
+    0x4a6eb8c5, 0xd995f698, 0x3fbb4645, 0x31135386, 0xc2fc4268, 0x96741624, 0x1c99ca81, 0x33c1c6c2,
+    0xd5500981, 0xfc0a3e1d, 0x4cf997b2, 0x919e01b7, 0x789e5aaf, 0x04240aa6, 0x32820424, 0xeda28ccf,
+    0x651cf8de, 0xcd327090, 0x7c2d6f0f, 0xfdc6e654, 0xfc60c644, 0xc270a7cf, 0x76123a94, 0xd2a4eff3,
+    0x00000000,
+    0x57f2495e, 0xc25e68dc, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000002417851639229258349412352 */
+  { 0x00000000,
+    0x877ef6f3, 0x6e41660c, 0x4bcb5a3f, 0xc01cef50, 0x676f7a03, 0x7072e5d0, 0x2141b4d9, 0x466cc893,
+    0x43567383, 0xc450e288, 0xcf8e9d46, 0xc28323bc, 0xb8541282, 0x4b6e04bb, 0x2e8f0f2e, 0x48405277,
+    0xa4d35f22, 0x9351afc1, 0x49df24b2, 0xfb8ed2d0, 0x03f97db4, 0x8298e0ab, 0x3856a699, 0x71945a2c,
+    0x13221cee, 0x43ac8858, 0xe2b22891, 0xe4302bc6, 0xf0fc5ac5, 0x59313858, 0x078260b5, 0xf8f3e7a6,
+    0x364340fe, 0x17cfef3d, 0x68df6726, 0xbfa4c13d, 0x4baea47b, 0xaa4034ec, 0xfe71137f, 0xd45c09d1,
+    0x456d3e88, 0x9ceb7786, 0x0a873bdf, 0xe93770bc, 0x38625c77, 0xc38cc4ba, 0xe78654f7, 0x3b0f2fff,
+    0x7661d531, 0xbb00526e, 0x460513b0, 0x09cd8835, 0x0a8f6cdd, 0xdf8e895a, 0x15d65bdc, 0x96df28ba,
+    0xc0e0cfab, 0xe41461e9, 0xdc211eb4, 0x82528881, 0x943f0934, 0xa3c32ba1, 0x364c7915, 0x6a2db4f3,
+    0x87fc67d1, 0x115c67f9, 0x9778697e, 0x59e07d47, 0xfd97e6a7, 0xf609a1f6, 0xd12ee7f0, 0x040b90c9,
+    0xc27ca70f, 0xf5e4a213, 0xba99bf66, 0xadbadf10, 0xd7a5e57a, 0x77df21fe, 0xe6739242, 0xc97ad800,
+    0x7ba43edb, 0x7aa012b6, 0xb0e64fce, 0x7f6e0e88, 0xa018f8e4, 0x3cf10637, 0xb2f8cd7e, 0x04a635d1,
+    0x8bb7a58e, 0xc4e93096, 0x263f6cb2, 0x03f01fc0, 0xffc61519, 0x4e6ca57b, 0x2404ebad, 0x9e5211e6,
+    0xb95fe454, 0xe4648351, 0xa1a6b381, 0x0bca1547, 0x96393950, 0x28a03dd3, 0xa3ffaf01, 0x79fc3fbf,
+    0xf10e7139, 0x000f55cd, 0x23c2829f, 0x626cca61, 0xd3a06877, 0x79445291, 0xf99f35db, 0x96bc224e,
+    0x7e6f8624, 0xf7205913, 0x20f875a6, 0x73b5cec0, 0x14214998, 0x7f3d4d2a, 0x1805dabb, 0x9f7a2987,
+    0xdfbf437e, 0xa1305b0f, 0x6e5a9351, 0xbeda7c2c, 0x09125a88, 0x03fad6e4, 0x8b1f1375, 0x81a58fa9,
+    0x31deeb9d, 0x93ed4833, 0xd9d82720, 0xcb395871, 0x89a9632f, 0xf81b646b, 0xd5d7448e, 0x9ceb5d8b,
+    0x74b55c95, 0x5331e141, 0x3124c43d, 0xc8b5eb9c, 0x76785f94, 0x89397d35, 0x7744e501, 0x3bc791c6,
+    0x12d61367, 0x0b1e68d7, 0xa7ce69d8, 0xdd32520c, 0xad7a176a, 0x97b5c45e, 0xcd63b810, 0xaddc6a9a,
+    0x91124e10, 0x0d0ea4ee, 0x94e54c6b, 0x4100db55, 0x3e579e7a, 0x17f2e7de, 0x1587e52f, 0x41dbd8a7,
+    0xd7f250ac, 0x1025ec8a, 0x1aa28dc1, 0xa856c64f, 0xe12f8e04, 0x5aa91456, 0x3044d8ed, 0x70cceff4,
+    0x286c5c0a, 0xcb439f53, 0x2a8fef8d, 0x6951c80a, 0xfc58929c, 0x1868d912, 0x43e0373f, 0x4acafc87,
+    0xf32965f4, 0x413bf030, 0x062a9b5b, 0x5a645a3e, 0x3c49a2e3, 0x7fcd5926, 0xf739dcf6, 0xcd6c9dc6,
+    0xb59e269b, 0x7dee26c9, 0x1169ce60, 0x9809b837, 0x2ef5e384, 0x2b8c6aa2, 0x27708428, 0xf1e9af5a,
+    0x63fb30e8, 0x9bb4cc4b, 0x720bdd8f, 0x32d7d7cc, 0x4846d9ac, 0x3f9a4fda, 0x9c5da643, 0xcdbb187d,
+    0xce61bc49, 0x2c9c6230, 0x0f42a4a3, 0x044d1130, 0xb7f029f7, 0xb2f44edf, 0xed51d314, 0xe28f55e7,
+    0x87a5775b, 0xfd374558, 0x3a1560a9, 0x4039b07b, 0x2502faf0, 0x4a707569, 0x93c545c5, 0x6230c351,
+    0xd1ff7db4, 0xae851f5d, 0xda263003, 0xc2485d2f, 0x3f6ae934, 0x15a8510f, 0x80f273b2, 0xd6ffaaae,
+    0xddd54d61, 0xe6d8d211, 0x316a6067, 0xcda5b8c2, 0x04ba4ed4, 0x498eda3d, 0xf09a3e69, 0x3cc23258,
+    0x7e39434c, 0xdef1549e, 0xd80b75a7, 0x9f5acb54, 0x4f47900f, 0x1790d447, 0x71a93436, 0xb6d31d7f,
+    0x13e53d3f, 0x5a96fd42, 0x07d8a4f2, 0x04475b4e, 0x25953552, 0xd9d5250b, 0x3cd11167, 0x3872b501,
+    0xae9ea3a9, 0xb99fddd4, 0x2969a235, 0x1bdcec68, 0xbcc013c8, 0x8acb7a15, 0x6e6b2464, 0xa3b47e68,
+    0xcc25f99a, 0xfb7ab888, 0x31cb95fd, 0x5c57dbd8, 0x9424ffa4, 0xfd741f41, 0xd97e2e02, 0xfcd40300,
+    0xef5e7ae4, 0x85e11710, 0xf90e9f3e, 0x77d602d3, 0x8cc3288c, 0x3e3310cd, 0x690dc5c9, 0x26a42c63,
+    0xf93997bb, 0x26257dc7, 0xb9e1ba0f, 0x8eb13fca, 0x83354dc3, 0xba763df1, 0x0b445268, 0x6157041a,
+    0x230a75f3, 0x9b3d1fd6, 0x0a3868aa, 0x4cd00317, 0x66b3c0eb, 0x1ef93c82, 0xe1074b97, 0xe96a29e5,
+    0xab38beba, 0xf72b6f20, 0x7daff120, 0xf7351eff, 0x9b8b1ab7, 0x1e76cebb, 0x7dbfb903, 0xb385f9e1,
+    0x0d11de43, 0x67c00967, 0xf8e7489b, 0x7e325f67, 0xb4b4e8bb, 0xe6aa4e82, 0xe7621254, 0xd44b4eb9,
+    0x04fc9597, 0x80bc5257, 0x42d09e13, 0xeb7dee42, 0x35d1bf72, 0x3734387e, 0x4aafbbea, 0x1178424f,
+    0x791bfbb4, 0x50b1555c, 0x71f0ffda, 0x01d1d102, 0xcdba0cf0, 0x6af78170, 0xb9ed9364, 0x33e0b409,
+    0x1740265d, 0xb453ffc4, 0xb813ea53, 0x1e2ab933, 0x06c80758, 0xcd06dd29, 0xbb33c2a4, 0x6577806f,
+    0xf2407cce, 0x91a8d361, 0x0067e3e0, 0x6e0711e5, 0x40809f42, 0x0c4a004f, 0xe9953139, 0x79b3e8de,
+    0xa6b4c731, 0x3ab6b298, 0xc410ede4, 0x29411e9e, 0x8c2f235a, 0x54dfcc98, 0x76b64134, 0xc8384e7a,
+    0x15c9853c, 0x03b10341, 0x33bb0172, 0xd85c08dd, 0x28bab97b, 0x409fc952, 0x94283c19, 0xc9f9c75f,
+    0xf377d607, 0x8b3f84a7, 0x184eae82, 0x054c839f, 0xd04679b0, 0x14262179, 0xfa253619, 0xd8627915,
+    0x47fe2688, 0x1be8c3d8, 0x2f9d5f2d, 0x500583e0, 0x646ecc23, 0xc1c322b7, 0x7b8f749f, 0xea9cd425,
+    0x1fee6adf, 0x2ccc1bba, 0x3ccc1b7b, 0x3e78bc3d, 0xd80c7c39, 0xbded2dca, 0xbc3da20d, 0x945afc79,
+    0xdd195724, 0xd308e6cb, 0x401a420c, 0x69d353a4, 0x70b1466c, 0x435d59e7, 0x763916b8, 0x24fd3bc2,
+    0xf9894dfb, 0x4d64a73e, 0xd5c65b5a, 0xd14de71d, 0x275b01e3, 0xd2449371, 0xe7f4d49f, 0x63330728,
+    0x872ad7ed, 0x0b9f73b6, 0x772fca0f, 0x8227e075, 0x2113fb61, 0x89eeec7d, 0x6c07311b, 0x7b4ffdb3,
+    0x708bbb8f, 0x371cd122, 0x8794c72a, 0xa4fd88f5, 0x87c43551, 0xe9935685, 0x890ab6f4, 0x65323395,
+    0xbce5a3b0, 0x3db9a0e2, 0x48a858cc, 0xbd16caa8, 0x8e61d8ac, 0x100da6c8, 0x10ba588d, 0x32aff51a,
+    0xd7889df8, 0x4a63110c, 0x5ca6e08e, 0xba5a4b77, 0xa63573a7, 0x641d4c56, 0x0513ff05, 0x11d74073,
+    0x37789543, 0xfb80433d, 0xd912fd25, 0xf37bfc74, 0x120868c4, 0xbff3aac3, 0x19eed85f, 0x2294f07b,
+    0x7da1b30a, 0x1b513621, 0xc83e252a, 0xa1db7c75, 0xd36efb84, 0x96de18db, 0x59bfec5d, 0x91d4a6d1,
+    0x29f2eff9, 0xf3a6e2fe, 0x33673711, 0x7004aa66, 0xbec63f14, 0x5ddf724e, 0x53441223, 0x680ff73e,
+    0x119915eb, 0xc444deab, 0x5e394d35, 0x6c2d4b68, 0x78811a7f, 0xac9a562e, 0xa68b4bbf, 0x028eec19,
+    0x7367a266, 0x076008fc, 0xbc3b6550, 0x48e629e6, 0x90f9e9e2, 0x02f8f208, 0x663a51ae, 0xfc24091d,
+    0x5e695d3f, 0xf9dd55b3, 0xc62ceff6, 0x3f8e2fd6, 0xb11a0a06, 0x28231bb5, 0x69ee0d56, 0xff68eec6,
+    0xdc99c4df, 0x0aa263ec, 0x268408c1, 0x1cb24fa8, 0xe9125219, 0x93816caf, 0x865d3d15, 0xe0809a03,
+    0x879f3baa, 0xe208dabf, 0x90879ba9, 0x3699e5c9, 0xe9f0e4b6, 0x48cdd8ce, 0x5cbb1918, 0x0b46ce84,
+    0x20df2a92, 0x0c6ad165, 0xf6dc4302, 0xf07db672, 0x1f03afce, 0x6026cf2f, 0xaa50c950, 0xda230fbc,
+    0x52a59a91, 0x1a51c642, 0xd2045505, 0xdd6be5f8, 0x62726dbb, 0x4827a1a0, 0xa320aec1, 0xa6c3a7e6,
+    0x4f6bf0f9, 0xb909c183, 0x801838cf, 0xe2bcbb95, 0x8a8acd1b, 0xadcc5951, 0x3f1d06d6, 0x2c711842,
+    0xd310c7e7, 0xf4e60ca3, 0x5b09a36b, 0x945d7143, 0x36951cc0, 0xa4310ad2, 0x5739d271, 0x193c777a,
+    0x2e665ad2, 0x57b744a7, 0x9166e6d5, 0xdbd3cae7, 0x6b5aa12f, 0x711d1ac4, 0x1a5462f5, 0xf7579aa0,
+    0x817552b0, 0xa6011d21, 0xe8d02571, 0x15f43ed4, 0x1461be03, 0xa4ddd6a5, 0x3621dad3, 0xb6f235f4,
+    0x059936ae, 0x5d890f23, 0x7f100086, 0x0b218b76, 0xb2c3320d, 0x99f1fc20, 0xfb2f13b2, 0x9ff83455,
+    0x3b59b75d, 0xd2ade6da, 0xe080385e, 0x71cc910b, 0x343326e8, 0xf22eb296, 0x83822f33, 0x8192ed98,
+    0xc33531bf, 0xb3ee0c27, 0x2fed459a, 0xc600f6c5, 0x2f702d73, 0x8403bcf7, 0xf219b64a, 0x922f75a0,
+    0x8576fff0, 0x8164232a, 0x66f5bf5a, 0x9bba52ce, 0xc71f866a, 0x998b8427, 0xe4aa5096, 0xbd2a334f,
+    0xa3a8b3f3, 0x93f1dddb, 0x76ac2207, 0x5e565d64, 0xaa8c3067, 0x6f81af32, 0x127e9031, 0x159a9c6c,
+    0x44806c3b, 0x03b4a08f, 0x27d2f832, 0xba565624, 0x5f0261fd, 0x04345b40, 0xa3edeaa1, 0xc2758547,
+    0x1cce2817, 0x9a249d86, 0x1050830f, 0x89458b73, 0xbae1c576, 0x9f7476b1, 0x52149e3b, 0x6647665c,
+    0x5c44a20b, 0x4d85374f, 0x7c917216, 0x6c4a69e7, 0xef3c46eb, 0x3c3e553b, 0x39d930bc, 0x59f3120e,
+    0x22906bbf, 0x0149dbc9, 0x8b0d3141, 0x04f98ea3, 0xd012045b, 0x95cf91bd, 0x3a4b1734, 0x798b4b55,
+    0x16d9fda7, 0x80c00160, 0x37440283, 0x7848e15b, 0x9e4a5c79, 0xb7c68783, 0xe91fe033, 0x414c1424,
+    0xcafd2ac3, 0x5728bace, 0x54dc4f6d, 0xe9d089f4, 0xcae5316e, 0x348aecb0, 0x0ed0b929, 0x2cdd2f29,
+    0xb4bf6ee9, 0x07802861, 0x326014d1, 0x1267d990, 0x5f30f558, 0x391f4ff0, 0xcfd2e74f, 0xb93cdd7b,
+    0x571daf7e, 0x9ffddfbd, 0xabc9ff7b, 0x9d14ecb2, 0xb926e56a, 0x9d22e2f4, 0xf0e934ac, 0xa1710d8b,
+    0x57ef1ff6, 0x98d877fe, 0x7d694a0b, 0xe589fb1d, 0xa4b858f9, 0xd9c5385c, 0xa5fd6d97, 0xc9a50695,
+    0x903c0b19, 0xfa7485e2, 0x8d1ac757, 0x599ce5d8, 0xc3515e35, 0x926d8060, 0x7780c488, 0x639f37cc,
+    0x3bf88c43, 0x56391220, 0xd919545b, 0x6f35b2c0, 0xd715a9db, 0x6db7a438, 0xbb7505f7, 0xe55b6888,
+    0x3167eea7, 0x0b427d55, 0xf7cc2d17, 0x75ec7a97, 0xfd621d96, 0xbd0e6346, 0x69ff0904, 0x94858c11,
+    0xa0b6b32d, 0xb6ed0f13, 0xcfec376b, 0x6dc0d646, 0x30f3ad0c, 0x1664f511, 0xd265f983, 0xd8bc15b2,
+    0x1fcc00a5, 0x627cfb3b, 0x281f00ae, 0x91fc3656, 0x8902bde0, 0x505809b2, 0x7e6c22c9, 0x7e4a1898,
+    0x4aa44f32, 0xa73333b7, 0xe776e2c8, 0xcaab54de, 0xf9e9decc, 0x677eb5ee, 0xbe7f02cf, 0x72180e53,
+    0xfb84f3a5, 0x7bd3811f, 0x7edb9d6b, 0x9759355c, 0xc87fee0b, 0xe71cd0ec, 0x403b3a94, 0xca37fb08,
+    0xf1f84a21, 0x3d85be48, 0xc0f6bfe9, 0xcff91c6a, 0xe06e6a31, 0x592ee135, 0x38fb67c4, 0x184020c3,
+    0xa3c78c2d, 0x8f7c8997, 0x608975fa, 0x3920efbf, 0x21242168, 0x0df14307, 0x2fdb2740, 0xfabd3d32,
+    0x65bfd4a7, 0xa243d7bb, 0x4c2f2223, 0x15fff507, 0xaf241a4b, 0xf29c3c8d, 0x593ce199, 0x298f66d9,
+    0xa6fee746, 0x7a55fcc8, 0x305ea275, 0x64607493, 0x03fac92d, 0x21c9736f, 0x942c7dde, 0xfe392120,
+    0x6431df73, 0x33e4626b, 0x77721a27, 0x0b2d9dd2, 0x8b1ba26e, 0xf38d6433, 0x74e76a98, 0x74408132,
+    0x2d5ee40b, 0xc4094125, 0x1c66762c, 0x5a3ec5ef, 0x861f7671, 0x3bcecfe8, 0x42f3e4c1, 0x752f8ecd,
+    0xe1fdbe2d, 0x6b367bac, 0xc6584373, 0x8f00ddac, 0x3f86a6ab, 0xb44f38c4, 0xa8265a56, 0x06317999,
+    0x0cadd50d, 0x4792c5c5, 0x2a4024bd, 0xbb03ca06, 0x0cf184ed, 0x42d81290, 0xe800ae74, 0x53fa4e75,
+    0xbbeac0bc, 0x17430cca, 0xebcbf676, 0xe83f4ac5, 0xbe62d99d, 0x14758da1, 0x62566a85, 0xb1a32b71,
+    0x413d4ed5, 0xde1ac08f, 0x067e9d75, 0xf4bca3a9, 0xb3c62c07, 0x02839344, 0xc32eb7b3, 0xf53917cb,
+    0xd91ebc99, 0x522e4be8, 0x3a3b2686, 0x9f95d847, 0x78fe892a, 0x973a9707, 0x654cb0a6, 0xad895f4a,
+    0x0914e4c3, 0xb93cdce3, 0x9bed99bd, 0x1f408e4b, 0xb57f57fe, 0x445594b5, 0x84f604d7, 0x5dd4517a,
+    0x872baeeb, 0x75524973, 0x8e654f6b, 0x21005767, 0x38a60169, 0xf5e6a291, 0xe8d27c2a, 0xa197b2a6,
+    0xfd28a528, 0xac89ea2a, 0xad94fba1, 0x4e95ce43, 0x3defb128, 0x4249e06c, 0x6947c84e, 0x39933b0d,
+    0x37994645, 0x393b021f, 0x387a2120, 0x719f7054, 0x8c1eb853, 0xde47a6b6, 0x326e458f, 0x659a6f28,
+    0x11a612e2, 0x145b6441, 0xb4f28461, 0x4546e453, 0x9c7484be, 0xc5b3b2bc, 0x548eace4, 0x46f0aa00,
+    0x59096003, 0x431f0886, 0x1aed88a2, 0x595715b7, 0x93344ee3, 0xc572d1bd, 0xe6643f99, 0x73259754,
+    0xd364fcbd, 0x862def34, 0x3157253b, 0xea7d7b04, 0x3ea28f83, 0x31703603, 0x2b2c9111, 0x791873fe,
+    0xa5e26db7, 0x596ab115, 0x6cd33524, 0xd8c00486, 0xb1da5749, 0x4e9c2a46, 0x75f057ee, 0x167b8ab9,
+    0x90c9dca9, 0xaffeb53e, 0x20cebeb8, 0xf7993529, 0x6cb12e66, 0x26cc32e2, 0xcf5931db, 0x05e00396,
+    0xfb5b4d34, 0xb71f14c7, 0xc5343008, 0x07621f63, 0x5f8ccf2c, 0x0136680c, 0x5111d15d, 0x14bbb0d9,
+    0x03c7b3c3, 0x1f47e1b9, 0x4d2d4118, 0xe328b5f4, 0x0830f40e, 0xad073364, 0x2396adb7, 0xc2fafea3,
+    0xe12600ce, 0x8283f7f2, 0x8359bfa3, 0x17cf24de, 0xc65fa864, 0x34125115, 0xdb123cdf, 0xfaf2f192,
+    0x0e272ac6, 0x2c32b5cc, 0x7b8b74ba, 0x95190130, 0x797a98eb, 0x66a37c80, 0xabf93e73, 0xfbd30e4e,
+    0x99d815ac, 0x58bf6707, 0x0d433242, 0x05b62ebd, 0xd5f768df, 0x7131f1eb, 0x4b54427d, 0x192597b7,
+    0x9ff5fdd4, 0x7d3675f9, 0xcb730a40, 0x5f329a02, 0x698a2308, 0x420bbdb8, 0x8e20ec1e, 0xbfd46160,
+    0x36863694, 0xcce66857, 0x80d7ba6c, 0xaf0ed324, 0x7c22c72a, 0x5c76f67a, 0x0175e3d5, 0x08953043,
+    0xe32fbb3e, 0xca484b43, 0xa3cd1c37, 0xadde09e2, 0x2ee3a0f8, 0x7741a874, 0x8714237b, 0x0e9a755e,
+    0xe35b179b, 0x3fc3a78f, 0x0b876954, 0x722f1a11, 0x636ace64, 0x124c27e4, 0xe7c7c806, 0xafccb2cd,
+    0xd77353ee, 0x6d3982c1, 0x7bf7b148, 0xa86f07f8, 0x59270638, 0xc4ef2b17, 0x4191bbe2, 0xdad35d2a,
+    0xafbe1399, 0x3086b82a, 0xb51e43a9, 0x31b0e8e7, 0x721dedf9, 0xb73f9127, 0xd5a16cec, 0x00200611,
+    0x7fe05c28, 0xe4f1e907, 0xa99d7996, 0x60caef2c, 0x9e22d67d, 0xd7a8bc7c, 0x8297cab2, 0x6a6b0f5c,
+    0x1b6daec8, 0x8bd0a815, 0xd8d90dba, 0xf0e4bf2d, 0xa3644b57, 0x9dd48473, 0x1be46f20, 0x0c7a37fa,
+    0x30fd0cb8, 0x7c4311d6, 0x2248c855, 0x67649662, 0xf688ddb5, 0x08feca10, 0x48e97fa5, 0x02533b32,
+    0xa9a77eaf, 0xd6acb0c5, 0x28e6ec7c, 0xa4100d1c, 0x7b0dd9f0, 0xc03474bf, 0x9663cdb1, 0x70dbcf0e,
+    0xba0dd78e, 0x0b6adbbe, 0xdf9dadbb, 0x1dac02f5, 0x12802299, 0x15920eaf, 0x6751a7a7, 0xf9cd5903,
+    0x8c53c9df, 0xcf094f29, 0x1164d8d2, 0x374c5cbb, 0x1674e2c9, 0x5b1329cf, 0xd49ee92e, 0x06daed03,
+    0x69c06616, 0x3fc1436d, 0xf9b17acc, 0x349e5189, 0x9475101a, 0x83c65d82, 0xd97e34b1, 0xe837a9d8,
+    0x00000000,
+    0x2bf924ae, 0xe12f346e, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000001208925819614629174706176 */
+  { 0x00000000,
+    0x768aa09e, 0x1c266a46, 0x5e5e152c, 0x9b472e7f, 0xee39bb0f, 0x6ba66752, 0xa6ac1e36, 0x06afb42e,
+    0x0be31fd0, 0x26bd631b, 0x393a523d, 0x24c93c16, 0xe465110c, 0xbbce2059, 0x4c4f9180, 0x2f2b9da0,
+    0x1c3224a2, 0x063c4d1f, 0x6f055848, 0x14fad4f4, 0x6ef5b17b, 0xd83c06ce, 0x2c0ebfd2, 0xd1ff1658,
+    0x21d9a506, 0xe724d2fe, 0x794bb385, 0xde3ad759, 0x9aee9655, 0x69c71f1b, 0xb44df495, 0xb47d60bd,
+    0x527ba030, 0xc0e4bd09, 0x6c993e59, 0x13264ddb, 0xbd287d69, 0xade57071, 0x17cd8345, 0x25c6289d,
+    0xe88fea82, 0x99bec893, 0x444d25b3, 0xf43f19ce, 0x77a70b24, 0xf868ecdf, 0xd6790991, 0x9ece3f8b,
+    0x03556536, 0x5f87b2c9, 0x58d43935, 0x1751d93a, 0x778dfeee, 0x4cc95eb0, 0x29d76f34, 0x37c3618f,
+    0x96845343, 0xa37ef593, 0x17621f86, 0x41ea3ac2, 0xd91d9b8a, 0x76ca2ad8, 0xe0668074, 0xbd7b1660,
+    0xd1d6e6fe, 0x4b907f32, 0x62a70709, 0x53db1ad6, 0xf4aa854a, 0x2320e696, 0xf8c35b19, 0x4160d248,
+    0xc914b620, 0x10bcb575, 0xd3979edf, 0xb15fea52, 0x5da5c441, 0x7c800aa4, 0x01ea53ec, 0x83a4dd56,
+    0x89b98f34, 0x4db51c7c, 0x2556b3d0, 0x224f2a4b, 0xbdbcd370, 0x741c895a, 0x1391febc, 0x95dbe8ba,
+    0x1fa87a7b, 0x5034fa8d, 0x33f530d5, 0xb3565788, 0xb1e9017f, 0x2f062063, 0x8adbb052, 0x285dd6fd,
+    0x0bca1339, 0xc903b171, 0x6086adb7, 0xfa1c899d, 0x2f6c7e4b, 0xdc732092, 0xda45fb12, 0x0a94355b,
+    0x868f7473, 0x767f5ffe, 0xd0195c7b, 0x00fd95a4, 0xd99127ec, 0xb85aa1d9, 0x1c25e293, 0xc366f8da,
+    0x8a3094e8, 0x0527b1ed, 0xc33d83bd, 0x348b01d0, 0xb8792e6c, 0xb399ddb8, 0x254b1f43, 0x1b3460ae,
+    0xe0d37404, 0x6bf6e570, 0x8265f488, 0x7b71065a, 0x544105f4, 0x1df68784, 0xf8c17907, 0x32778b71,
+    0x642c011a, 0x75cebfe9, 0x44e5bcc0, 0xe07700e8, 0xf61d1d5f, 0xcb38207b, 0xdea03967, 0x888eeb4c,
+    0x672d3fc2, 0xabeb23a6, 0xbd4ad44b, 0xbcb0bdaa, 0x0c81a0d4, 0x1494cba7, 0x7ec6cf4c, 0x95d37fa3,
+    0x6dc55db2, 0xdacedebf, 0xde8a7b01, 0xdc53000b, 0xca1029ca, 0x3f69c583, 0xf8c1aff2, 0x7d7a5780,
+    0xdcccede0, 0xc7057cdf, 0xd7aa458e, 0xab5504d6, 0x4f86a190, 0xe20704bd, 0x4bdc2457, 0x86726209,
+    0xc9bb78bc, 0x9c9f7b14, 0x1c15625a, 0x72c4e780, 0x3d66390e, 0xc0efdc25, 0x8a02df38, 0x99067fe3,
+    0xbd33275a, 0x4f37e21f, 0xf2de3039, 0xe836d3b4, 0xf8fb3147, 0xd2459d49, 0x2c543534, 0xb01ebb15,
+    0xc0f7d110, 0x1ad79727, 0x4015f439, 0x0482e11b, 0x9f426bc9, 0xe9ba0c2f, 0x6cb951ff, 0x702f0753,
+    0x63465ea2, 0x0660e1df, 0x43bff710, 0xb1f0dc68, 0x779c22de, 0x56dd67d0, 0x98141740, 0x0b01d755,
+    0x51e649bc, 0x310eadc5, 0xdcbaf3b6, 0xaf1ecf3e, 0x1d983be4, 0x278510b5, 0x9a399d4b, 0x9cbea016,
+    0x8b08e312, 0x60a573e8, 0x42a3b5ce, 0x07df6ae6, 0x8b042d77, 0x856e181a, 0x29b23dea, 0xe362e181,
+    0x4008b3e0, 0x2d24773b, 0x456f2804, 0x614a8d23, 0x1bc6ccd1, 0xed32738d, 0xa5fc0c95, 0x526fd93f,
+    0xfba396ed, 0xbcefd56e, 0xb744d662, 0x3287773d, 0x92a3bbc5, 0x87fd81fc, 0xdcdaf66b, 0xe908038f,
+    0x1bb576c8, 0x14174a80, 0x057746fa, 0x8ac693ce, 0xcde417a8, 0x198d3f7f, 0x78a045e0, 0x66c0f7a2,
+    0x1ee4810a, 0x5ec37df3, 0x7131d255, 0xe4b71ee6, 0x87b88388, 0x13d0c4be, 0xdc6906c2, 0x9e53d77e,
+    0x28903b3c, 0x099bdbe1, 0xb83f879c, 0x391dfb05, 0xfc2d25cf, 0xf027bd19, 0xf5440119, 0x0312623c,
+    0x4280ec41, 0x794849e1, 0x4a9dbef4, 0x008fc939, 0x8d5c9885, 0x3b24c6a4, 0x20aa810f, 0x58c80de3,
+    0x405fb6b9, 0x407e7d28, 0x36b8e9e0, 0xac9cbae5, 0x8e505614, 0xf88c6bc3, 0x3c23d583, 0x1303d450,
+    0x2c9e45ba, 0xb110a29d, 0x4ccf2bbd, 0x7ac37fc8, 0x5e34fb6f, 0xe6a27a91, 0x1d76d6e6, 0x99467f72,
+    0x5207c1fa, 0x9742beb8, 0x5d4919d6, 0x7c305b61, 0x02540f89, 0xd63181d7, 0xdd359dc4, 0xa97c048e,
+    0x25e92591, 0x531074e8, 0xa735ed97, 0xc8b0c7a9, 0xfd5dc610, 0xdb243de6, 0x600a0ad3, 0xfae63a3c,
+    0x182756a5, 0xd08ab791, 0xb803bafc, 0x48adb477, 0xd3438bce, 0xf7b7ca7f, 0x3abb630d, 0x702d11a8,
+    0x69c0de13, 0xa742606e, 0xc61371c5, 0x29f07d2c, 0xa07bde14, 0xf318741e, 0x94be46a5, 0x86485a35,
+    0x0ee18a9d, 0xdd123085, 0xe27d2394, 0xb7404e1a, 0x49bc537c, 0xc9b07d58, 0xed7dc4c1, 0xe193c6f6,
+    0x02f9bda7, 0x32ad9e8d, 0x4b122d51, 0xd9c02eb0, 0x6159ddd5, 0x1d7f913f, 0xcba51f7d, 0x1a09fd7e,
+    0x72e6a462, 0x16e5a5c5, 0xf6ddd9c4, 0x0635436b, 0xde73fda5, 0x76485c93, 0xa83094ac, 0x6ff6b866,
+    0x189261f7, 0x7904b514, 0x1d0a201a, 0x66acfb77, 0x97e4d4af, 0xafbcc79b, 0xc88b2ebc, 0x2e6f0f8e,
+    0x5b06dc13, 0x79c93658, 0x3e1296f7, 0x06cc1cd4, 0x81b60aec, 0x17871119, 0x4a1b8b83, 0x266212b6,
+    0x7159cec2, 0xcc4dbffe, 0x20fb8ded, 0x1c56117f, 0x905ea44a, 0x4160e1fc, 0xf4b69c4f, 0x0d6c8863,
+    0x108a9d60, 0x0388aa9f, 0x34dc59be, 0xc3ae00bf, 0xdb367f1c, 0x189ee150, 0xcf9c6584, 0x50fa2ffd,
+    0xaeea4c30, 0x4ddf655c, 0xbb496283, 0x47f3ddb0, 0xf6d3edc2, 0x0ab7334a, 0xb03a3634, 0x5306f961,
+    0xfbf80197, 0xf3b69299, 0x84b845d8, 0xcef1dce8, 0xf85cf31f, 0x25d7445b, 0x76735ee0, 0x4af94ae8,
+    0xa08e3b7b, 0x72e983ab, 0x584a19ff, 0xf4a0a271, 0x621c7416, 0x0568c700, 0xa28a332c, 0x2a29fbd1,
+    0x8ba18099, 0x046b3ed0, 0xa5a4e731, 0x89b4bf39, 0xbbff7bc6, 0x0c00a841, 0x2ecf7ea5, 0x7c8f9099,
+    0x414fcd18, 0xf17c6a86, 0xdea9a6eb, 0xe841fc76, 0xd59e2ea9, 0xb700dbd2, 0x552f749e, 0x86ac278a,
+    0x7f1bfa08, 0x83f97108, 0x35d01a61, 0x8982a77e, 0xfd609ace, 0xabe141b3, 0xdbd897c1, 0xe1c7824b,
+    0x4338000e, 0x7b029442, 0xde8bea93, 0x96392e07, 0xe20e14ba, 0x7698256f, 0xe5736257, 0xc97c2081,
+    0xbb651d97, 0x65d6fdd1, 0x572634d7, 0xe405a806, 0x1e9c5397, 0x9fe6040d, 0x3803cb6a, 0x25401235,
+    0x9cae9211, 0x615630ac, 0xc7f3eba2, 0x21afacdf, 0x3ee9511d, 0xf0806a27, 0xdeb2b79e, 0xba7d4a0e,
+    0x0b76fdd0, 0xc4e2d6fa, 0x930e1c49, 0x00cc90e2, 0x4b290322, 0x1582e853, 0xad3ee4d7, 0xd3f6c073,
+    0x4741f62c, 0x77aad3d5, 0x50459a6d, 0xebfddcdd, 0x3111b413, 0xf8252229, 0x26525f68, 0x464d6c7a,
+    0x1aead3c8, 0x54cd0367, 0xd0943b8c, 0xa107b607, 0xd07e8dae, 0x0502f432, 0x7a36b800, 0xf69cd86c,
+    0x1da4cd8f, 0xc720f659, 0xa36f6735, 0x10b3dfe7, 0xe18d66a7, 0x43cb63af, 0x67101ed1, 0xddc23ad4,
+    0xdb61accc, 0x49df97ec, 0xfba8c83e, 0xc848e672, 0x6d2edb73, 0x103ebea8, 0x66e314d7, 0xb05b9dc0,
+    0xd78f13b4, 0x3d6a037d, 0x397e1be8, 0xdb59cc00, 0x04adcb8c, 0xa45ff3b6, 0x93c97fa9, 0x5edb5c5e,
+    0x56e0fd8c, 0xc16761d7, 0x249d2320, 0xf24a7e9a, 0x966daf58, 0xb23ee803, 0x5889d64c, 0xdd84502a,
+    0xd4a0e24d, 0x0d058431, 0xff20c177, 0x47e0fade, 0xdaa4172a, 0xc56d2632, 0xa6d60763, 0xeecd1d8d,
+    0xd98fc27a, 0x5b0a529e, 0x727eacf8, 0x5d5eefd8, 0x505ce8f4, 0x182ca590, 0x1e8b97e9, 0x9b7f806b,
+    0x16929431, 0xd6c1e3e7, 0x7debfeaa, 0xf93f50f8, 0x1d4c4ce3, 0x5b6766f1, 0xe40caab6, 0xbe3f3fea,
+    0xb8b68cb3, 0xee7db22f, 0x7f423d54, 0x6a857268, 0x63b21f8b, 0x2fe21fb7, 0x8ef0c802, 0x8a30715d,
+    0xf7f410b5, 0x23c55991, 0xdcfbba80, 0x9311b6ae, 0x57fc428e, 0x21f43ffc, 0xe7c155d3, 0x30d6b75a,
+    0xbc48bfc0, 0x16d656ad, 0xb194748d, 0xbeb5d844, 0x0868426e, 0xb0575376, 0xda36f3be, 0x6857f133,
+    0x71b48c1b, 0x4872d0c2, 0x337170c1, 0xe0a8a31b, 0xc39ff986, 0xc7000ef6, 0x320a72c1, 0x095edb4c,
+    0xb4346137, 0x2c9000ab, 0xe5fe8014, 0xe2d85adb, 0xcd0dcf4d, 0x0ab43f0b, 0xf42022cb, 0xeffb5fb9,
+    0xcdf84a85, 0x8f04052a, 0x9e841cf7, 0x6deefed2, 0x7aa32284, 0x2544ca2d, 0xa3499107, 0xe3b46b22,
+    0x97f057e1, 0x5bac4662, 0x7debeefd, 0xbdb5ec4b, 0xaf05f196, 0xe890ba62, 0xabd190ad, 0xc8a8418e,
+    0x26e842fa, 0x1bb4622c, 0x05545f08, 0x12f2642d, 0x69a74596, 0x4caacee7, 0x797313b6, 0xe60bcf52,
+    0x17d1f8fe, 0xbdab44ee, 0x5ed07fc3, 0x872c806b, 0x3fc276a4, 0xd4e3fa56, 0x45a8150c, 0x1255cb92,
+    0xb84df5f7, 0xb4bc237a, 0xd7d08b2d, 0x20acdc98, 0x4079f843, 0xc4d7b801, 0xd6f0323b, 0xea13f8ce,
+    0xf4b0b4ba, 0x5c799e18, 0xfed726f2, 0x5880624a, 0xc5e3873e, 0x6ccf568b, 0x8cfceb74, 0x3d8aa849,
+    0xfcf77ce7, 0x095f299c, 0x1eb4df73, 0x80d2df44, 0xcb667086, 0x0723730b, 0x7de2e000, 0xf8aa0322,
+    0x98c3c2d2, 0xfbad85f0, 0x6054c86d, 0xfee98c90, 0x4d8787fa, 0x858b3c61, 0x2c69bbae, 0xf8def3af,
+    0x0e9586a3, 0x016494ca, 0x67e8eda9, 0x450049ba, 0x058c662c, 0xcb5bee1b, 0x524d2a64, 0x6e25ece4,
+    0xc81c4908, 0xf64dbf8b, 0x823dcd31, 0x72054794, 0xbf04a7a3, 0x8ba395a2, 0x7de0f6e5, 0x2ccfb0a2,
+    0x74fa6544, 0x1407edb3, 0x5ddc29b1, 0xc9805f53, 0x9f3b6c9f, 0x83a1ed2f, 0xdc74c575, 0x4a1a197e,
+    0x1461b917, 0x12271eda, 0x1721c760, 0x5550a3cf, 0xc0534841, 0x04350160, 0x50ff6433, 0x13275d85,
+    0x7c0cc61b, 0x94eb7a30, 0x83152019, 0xfe432c25, 0xe0c618ed, 0x4e9818f0, 0x265a4338, 0x2a1e9c6e,
+    0xe6a1f141, 0x2da6b03f, 0x89d46fb1, 0x1eb63227, 0x36bc892c, 0x743b4702, 0xbf157af9, 0xff626deb,
+    0xb83675fa, 0x7907c50a, 0xd79f5006, 0xeb695f57, 0x1274f22b, 0x75d74f85, 0xd265d7bc, 0xa13714c3,
+    0xf8d8ec8c, 0xeb8821d1, 0x6cf4ea6b, 0x118bccdd, 0xb74efe78, 0x0b6e9ff5, 0x7be775ea, 0xa6ecbf90,
+    0x7dac1635, 0x31f07f9f, 0x4bcd3518, 0x0ef9c433, 0xd78dd73b, 0xac252699, 0xc1792f74, 0xebf20477,
+    0x9249eb0c, 0xb451d0d2, 0x14e294ef, 0x78e64112, 0xde55d7d6, 0xc0572514, 0x7f9da443, 0x7a9b61b9,
+    0xd54c5051, 0x747ccf76, 0x0a58a12c, 0x3fd66364, 0xa11f1e56, 0x599417cd, 0x9ed9ab01, 0xbb4f9f0a,
+    0x9abcebdf, 0xa6fdcd93, 0xe14dc8db, 0x98245c8f, 0xb020eee3, 0x25916a3c, 0xd1e8a11d, 0xc7a85233,
+    0xafa374d9, 0x510e951b, 0x11cf38e8, 0x0c16defd, 0xc4f39404, 0x51a438d5, 0x538da222, 0x42694ab2,
+    0x50896f99, 0x117c77f8, 0xfc807bb6, 0x07b05686, 0x1a06d82e, 0xcdfad2b4, 0x0997d702, 0x580c52d3,
+    0x2fb5e419, 0x1c58f64b, 0xd7332617, 0x76cbe24f, 0x4293ee51, 0x47fecfbd, 0x00642bc0, 0x73eb92f4,
+    0xcea5d93b, 0xdef5ac6b, 0xed5bfcf1, 0x1459f8e7, 0x0a745c22, 0x6f94db20, 0x1e9739f5, 0x97a839ed,
+    0x7d1fbb15, 0xa51b3624, 0x3cc70d22, 0xe7ac937c, 0x2eb1f934, 0xcfdbfed9, 0x62d15e73, 0xd5f75ce8,
+    0xb085f04a, 0xc180f174, 0x26e0ffb3, 0x567f9230, 0xd5648f34, 0x3d71b5a2, 0x45194421, 0x7054841c,
+    0xc19a13c2, 0x1af52611, 0x38c10961, 0x1d64cb6f, 0xe4761a91, 0xdf8e237a, 0x909f0a7b, 0xa2a72feb,
+    0xde76061b, 0xef2ffe50, 0x94aed261, 0x659ec59c, 0x016dc984, 0x4d000942, 0x07ae9dc2, 0x320f6062,
+    0x8d60b0c6, 0x5b335afc, 0x4928874a, 0x21db11e8, 0x3d424f0a, 0xfec7c440, 0x7a2522fa, 0x3f9ecb5b,
+    0x834772a8, 0x4d168a54, 0xb44cbba0, 0x76b10e17, 0x132889c7, 0x047c9e0c, 0x74b1c8bf, 0xd17a9a03,
+    0x79969323, 0x99c358d0, 0x767da318, 0xed2de5d7, 0x3b41f890, 0xd6ad3c7e, 0x3477a0d6, 0x2533324f,
+    0xa70bce90, 0x8b2a9bba, 0x467a2ab0, 0x53391978, 0x492b135f, 0x9b720165, 0x4636423f, 0xdf5b82e3,
+    0x1a936603, 0xb0f8f3b8, 0x0d21e218, 0xc26c2784, 0xd79f11d8, 0x9e4d4326, 0xf224de3d, 0x7f3b34b4,
+    0xaccf6ee4, 0x74bc675d, 0x05517375, 0x3395c8f4, 0x71bf4256, 0xe33e991e, 0x6e2dc90b, 0x3b6126e8,
+    0x47745e84, 0xdf2432c1, 0x20b99100, 0x3245ea75, 0xf446e587, 0xac286cb6, 0x791accdb, 0xb17cf885,
+    0x2748fb20, 0x6a97611d, 0xa9a37141, 0xfdaabd24, 0x69dc7867, 0x7b5ebdfa, 0x2cfb49a6, 0xd63dc534,
+    0xa958bb7a, 0x1fe3dde7, 0x1f7194ba, 0xfc1a92de, 0xdbfb17ba, 0x27880f76, 0x919c2429, 0x4a8bace0,
+    0x54a28f56, 0xf0e650b1, 0x48e87c64, 0x11939eef, 0x03e0785a, 0x275268f7, 0x15ae6f6a, 0x1f8ac2d4,
+    0xf4c16d4b, 0x3e2ece8e, 0x365564c2, 0xc0f7aa53, 0xb808b349, 0x232f1dc8, 0xb301c112, 0x32a331d9,
+    0x7bf76ecd, 0x73eef34a, 0x606c5358, 0x9fa29cec, 0x736db475, 0x91b23a1b, 0x228dfa2f, 0xe4eb6527,
+    0x00c638f1, 0x10b4b334, 0x62c2ea92, 0x7f87d2b2, 0xaa0336a7, 0x454150ce, 0x42c63b23, 0x271487b1,
+    0x09866588, 0x54ce0df1, 0xe4ffe07b, 0x4dcb59da, 0x74e72675, 0xb65b0ede, 0x457d9079, 0xb042b6d9,
+    0xfe29a560, 0x5d40f5f9, 0x3e71e616, 0x609c7c3e, 0xefcf7fc1, 0xae184e12, 0x987c0d12, 0xf4ee8250,
+    0x0181d830, 0xc66164e2, 0x459c41be, 0xdc574673, 0x7994eb8d, 0x95d40c73, 0xbef45ad8, 0x2d114799,
+    0x1c4362bc, 0x3707ae31, 0xe71720ec, 0xa25a66b1, 0xcf44c4bd, 0xbb9e5899, 0xbee7fbb7, 0x6e48bb2c,
+    0x809097ae, 0x53565141, 0x8b02f0bf, 0xc4e5c457, 0x0060da08, 0xae93dc56, 0x334d5587, 0xd1085745,
+    0x654972c1, 0xdc1c2d72, 0xc457b31c, 0x5d5e1f99, 0xe4b56d14, 0xf6cabd1f, 0x0fad3a86, 0xfb1bd88f,
+    0x64c6c204, 0x9daddf7a, 0xf3d22de6, 0x54734bb5, 0x79c63ed5, 0x45dc305d, 0x958adfb8, 0x9efc8203,
+    0xc1ea374b, 0x02b9e3d7, 0xb00a5c76, 0x175e5b2d, 0x32da7427, 0xee23de59, 0x54561476, 0xad6b9bae,
+    0x4fe4ad3d, 0x887ad034, 0xbfdd2293, 0x3e0cd426, 0xcf1240f0, 0x868b648f, 0x2f34efa0, 0xb5b91659,
+    0x8b205ebd, 0xca69824b, 0x2aa59fc2, 0x10ef4988, 0xc985e665, 0xb5a423d1, 0xf69020a0, 0x5a216e75,
+    0xba9e1b0f, 0x15ef8d47, 0xdc6d2208, 0xe600969f, 0x5edc6ac5, 0xb9d775a7, 0x4f450943, 0xf01746c0,
+    0xcca157da, 0xd5ef2401, 0xe8ac6f00, 0xfb096b1f, 0x9cff2c90, 0x24eecfb5, 0x3c28e505, 0x95dc2ec5,
+    0xcd50a5a8, 0x48764b01, 0x9af10f1a, 0xa02da992, 0x3c1f9215, 0xeb9a447d, 0x00a014c7, 0xd5681371,
+    0xfcc1de1a, 0x07bd166e, 0xf39dfaed, 0xee6a018a, 0xd2e1bbf3, 0xe35f2d70, 0x17e0360d, 0xec1a0f56,
+    0x7f2cacdb, 0xed0f02b0, 0x64ec1575, 0xb593ea3a, 0x6575b51c, 0xd7260dfe, 0xecb11ad0, 0x6f5f8328,
+    0xb201ddb1, 0x8b53c85a, 0x7b3c2f4a, 0xa4e38924, 0x1208223c, 0xa94dc517, 0x1dbb0d24, 0xf3d1a46f,
+    0x00000000,
+    0x15fc9256, 0xf0979a37, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000604462909807314587353088 */
+  { 0x00000000,
+    0x77458c28, 0x012152b4, 0x38b7d76d, 0x34e990f6, 0x70e2b36a, 0x20306429, 0x5425d665, 0x8a439c96,
+    0xe1bf9615, 0xb84360bb, 0x1e82a21e, 0x68b04784, 0x36813b6a, 0x653e4247, 0x74e3c660, 0x212c6b23,
+    0xa927cd5f, 0xed7a61a2, 0x2368ae7f, 0x278c842a, 0xfc7b25cc, 0x9442d8d3, 0x15b4e8f7, 0xe2e7dcd6,
+    0x2d38f9c5, 0x5e388eb3, 0x39a18aed, 0x6304ce74, 0xa86a0b06, 0x85dfde60, 0xa6635f65, 0xcd875e55,
+    0xb1c7d260, 0x6a672354, 0x2b81cda6, 0x9555c3e5, 0xb84a6259, 0x33ff5fa1, 0xba540d36, 0xf52d884a,
+    0x71c605d6, 0xc8234916, 0xddea6294, 0xa41c4c28, 0x13ac7e1b, 0xa8f9ee94, 0x5fbb934b, 0xcc77f404,
+    0x60b2e021, 0xc5f64bf1, 0xeb960381, 0xd99dc319, 0x4c2af0cb, 0x830e307e, 0xd57d9f59, 0x9578e1c7,
+    0x8762e2e1, 0xfb0eef91, 0xc2075f93, 0xd5dd02bb, 0xb2a48bee, 0x89095fc8, 0xc05597cf, 0x1931591b,
+    0x8eed2469, 0x20552a27, 0x2b728c73, 0x13f39f6f, 0xc77f4de3, 0x64607077, 0xe724dfd3, 0xd5788f39,
+    0xe050195c, 0x14a5eaf3, 0x272ab456, 0x86bacfdc, 0x36d82971, 0x14fe411d, 0xb04cf665, 0xffeecee1,
+    0x40bf9958, 0x2d5cb1e3, 0xc2c5bc71, 0x51120c49, 0x2348a064, 0xf0b8f90f, 0x562593d4, 0xc703ba12,
+    0x3214ae0d, 0x4087aca0, 0x6e778733, 0xf84ef163, 0x592bc3e7, 0x28b8b324, 0x5d711c99, 0x550c719f,
+    0x2c20034f, 0x216454ff, 0xce0f1676, 0x60f0cbba, 0x807708c0, 0xf9ac415c, 0x9c0519e6, 0xb5389904,
+    0xb1c883ef, 0x0f469d5a, 0x1a7fb8e1, 0xc648cdfb, 0x733e6794, 0xfcbfc025, 0x8d354809, 0x8db46480,
+    0x9c8916a4, 0xe5d65a93, 0xa5e0c8a7, 0xc2779ebc, 0x1f0ca9d2, 0x6b3f9b6f, 0x954797e8, 0xe000ddde,
+    0x67e48bee, 0x6b11c80c, 0xc79c10dd, 0x8eb5d631, 0x1c317e2c, 0x7daad155, 0x1691ecf6, 0x200e4502,
+    0x4c4b6fca, 0x9548e2a1, 0x14307a65, 0x812cf924, 0x54f35fe3, 0x6b83e4b6, 0x679777f4, 0xd249a9d6,
+    0x80e3b799, 0x252d11e6, 0x86d4ff51, 0xe9eb2d8d, 0x3c2290c4, 0x8fe8c241, 0x128f0e75, 0x6122dbe2,
+    0xab263408, 0xf8b2f750, 0x6722e8f1, 0x62b103c6, 0xcfbdcd9b, 0x77ed6322, 0xb64e5be7, 0x821fa2b4,
+    0xc5ad2c90, 0xa825177f, 0x64c85830, 0x89325764, 0xd3c89453, 0x5bde303b, 0xabf1fb59, 0x5edc4f93,
+    0x1054dc55, 0x6c063bf8, 0xf2558278, 0x569b1cf8, 0x31578ed8, 0x27422a49, 0x14f6e979, 0x9b845945,
+    0x6300ba43, 0x9389921a, 0x6a508c7a, 0x194d4e6b, 0x88d9b2a9, 0x3a931233, 0x83f6659d, 0x91efabe7,
+    0xbac3c5d4, 0x62a2eb81, 0x039f1bc3, 0xefaac114, 0xa29a8d29, 0x150e3c90, 0xb789f6a2, 0x1d8f37ab,
+    0x8bb86e62, 0xa0151ed6, 0x870e9e6b, 0xeb9b7848, 0x952a7b3c, 0xd7561efd, 0x834a2aaf, 0x00003e67,
+    0x8ca9af38, 0xc05a6514, 0x21fc8c8c, 0xab0f95da, 0xff526fd3, 0xb4552459, 0x7e4ed988, 0xcbcb49b7,
+    0x44a18d6f, 0xddb4c05e, 0xf2f56e1a, 0x3a218c06, 0x10bdca9e, 0xe50524fa, 0x630b928c, 0xaf109b8e,
+    0x3f341add, 0x0c45856e, 0xd4001054, 0xf887e817, 0x8b9120e3, 0x5271f7de, 0x5a459975, 0xe9e7660f,
+    0x380cff01, 0x32fdfa56, 0xf0dd912c, 0x00720059, 0xf51ac6c7, 0x3df7592f, 0xe227a82c, 0xb1e4e446,
+    0xa8db3205, 0x95ef3e39, 0x5023e584, 0x10d34447, 0xd238be4b, 0xfa748ce7, 0x4d863c31, 0x3bd6acff,
+    0xa3b02faf, 0x99606b47, 0x891cd56f, 0x8a958453, 0x6f8368c2, 0xe392ebfe, 0x976e1352, 0x45195bb8,
+    0x5a1517e0, 0x727afc67, 0x0c65f446, 0x9bef3d50, 0xdec0dc7b, 0x5f4f9544, 0x2601b48d, 0x3f2a9e9f,
+    0x35764660, 0x3798c794, 0x5a082e5d, 0x64c13110, 0x6a0f4dde, 0x173b1c3e, 0xd7e22a22, 0x0a5c054f,
+    0x40c302fc, 0x165453d1, 0xd465d4be, 0xd94c7220, 0x638a161f, 0x789b8976, 0xb5a30d90, 0x8d3f8a38,
+    0xd435ed6d, 0xe64c51ec, 0xe0736ab5, 0x45c7240a, 0x3a2cdf5b, 0x807cd9a8, 0xdceeb80c, 0x0c24860a,
+    0xb5b34111, 0xda2cb806, 0x15c601eb, 0x4a9a24e9, 0x8ec2140a, 0x81a5178c, 0x967177c5, 0xf71e1fda,
+    0x9222ce9f, 0x06e535b6, 0x3721150c, 0x8d050ea1, 0x44629f13, 0x83a6b335, 0x0e75e899, 0xb506db95,
+    0x7f7b4dba, 0xa725cd50, 0xc98a97fd, 0x422837c5, 0x6498b292, 0x4e1c222f, 0xfaa0eeae, 0xbfed1b6f,
+    0x509abdf1, 0x62372707, 0x9cd36269, 0xcadb18a4, 0x01e42674, 0x803b7b9a, 0x9e3627ec, 0xbf8b2115,
+    0x7dc33eae, 0xde474ea1, 0xacbc12ae, 0x1862b822, 0x096dc11a, 0x24cd89df, 0x469e10f9, 0x6e1d7b36,
+    0x0ddf0d45, 0x1a569755, 0x6c464d05, 0xfb447250, 0xfc1cc628, 0x81ea2d73, 0x9f92fef3, 0x9dc94bc1,
+    0x69f381b4, 0xa1847b47, 0x7dd5a62b, 0x601f2d81, 0x95b770e1, 0xdaff6f70, 0x19d97af3, 0xeaf99f3e,
+    0x29e413fe, 0x10ec547c, 0xd4e3df65, 0xe407c9d7, 0x756e45c0, 0xa4e3d52e, 0xc744e750, 0xb7d01994,
+    0xbdb73485, 0xdfb41805, 0x61533529, 0x96571e31, 0x6d099959, 0x8906af68, 0x26bc2a3e, 0x7624f71b,
+    0x13ab2e40, 0xb7328b54, 0x3df6b76f, 0xe3e34bb5, 0xa78f13d3, 0x0c57bc33, 0x2ea4a431, 0x33c67cff,
+    0x5271cd41, 0x9e1214d7, 0x4ec5a87a, 0x9184c8ab, 0xeffa2593, 0xe1ca6157, 0xeb05e9a0, 0xe2b29780,
+    0x5942a770, 0x3eec6e72, 0x0065bb6c, 0xde87bd08, 0x8622117b, 0x584e973f, 0x52c56ae0, 0xbb1d1328,
+    0x03af647c, 0x659c9e02, 0x40ca8734, 0xe6d99a25, 0x6708e910, 0x6992853e, 0x933c10d9, 0xe7c56dcf,
+    0x295d74fc, 0xc0c9c76c, 0xf6e3e864, 0xb0dccc3b, 0xef590753, 0x65f3d340, 0xfe1c6ea0, 0xd2338e05,
+    0xf9dc33a2, 0xa0ee2143, 0x630ffd8e, 0x25ae9c18, 0x95f49697, 0xb149b865, 0xf8ea85b9, 0x2db07876,
+    0x5b939f01, 0xa3a8ef02, 0x8d6479d7, 0x2692210b, 0x8737fa52, 0xb3a18877, 0xe38e2993, 0x38922dca,
+    0xcec898af, 0x70f2a092, 0x26cecdea, 0xd8a3c19e, 0x33182a55, 0x60af58cf, 0x85374a1f, 0x316fe443,
+    0x038566e7, 0x596320ad, 0x4fc699ea, 0x16eeef93, 0xeb3cf4cc, 0xe5f532a5, 0xaf6314f5, 0x4b2e89d2,
+    0x73db6af1, 0x9bc3c60d, 0x029c63a9, 0x5568a248, 0x9aec9716, 0x3903d09d, 0x14ada651, 0x07a79698,
+    0x8aaf786c, 0x65a89477, 0x6a6c506c, 0xb796d0d9, 0x1bf8e5ce, 0xe4e47592, 0xcf3bfb53, 0xaa078855,
+    0x0d9b9332, 0xd719ef3c, 0xb4675673, 0x36ab3c95, 0x341429fc, 0x5a7427f7, 0xab6d71f9, 0xcb634cc9,
+    0xd107ba8e, 0x25886b2a, 0x215d8444, 0x49067457, 0x7e770b10, 0x6b4dd7c2, 0xd73f064e, 0xfd893f65,
+    0x9aa256f6, 0x36a1ae6a, 0x2fa4709b, 0x4a011542, 0x9b64cd34, 0xc449a99e, 0x9926a8be, 0x0f45c974,
+    0x0961f86e, 0x9a7dbb45, 0xabf4da67, 0x4583372f, 0xf39d64f3, 0x94785915, 0x3dbf3aa0, 0xa58cfa4a,
+    0xddd2c4ae, 0x79c4cb80, 0xe58e48c6, 0x37d51295, 0x8e4107d1, 0x774a7da9, 0x77bf1f24, 0x9371c1b7,
+    0x64510c6c, 0x1485d0d6, 0x54fe351b, 0xbd35c154, 0x372faffc, 0x08405ed3, 0x993fb2ae, 0x1b8a17f0,
+    0x54e786b3, 0xaf595c1f, 0x23fe3190, 0xacc57f78, 0x946b3426, 0xc47ec968, 0x30908b6d, 0xc8a51729,
+    0xe72fa0f0, 0x9cd4bdc6, 0x4702765d, 0x7b7073cb, 0x90bf2465, 0x45d8a63e, 0x66ecd906, 0x59c9aecf,
+    0x822ceb8b, 0x8b14dce9, 0xaa2894cd, 0x036d0aef, 0xd77fb8e2, 0x000d632d, 0xe748f561, 0x6e01e0dd,
+    0x3a09b649, 0x2fec4140, 0x418d59f4, 0xa283b408, 0x56709e30, 0x4bbba198, 0x3078f3d9, 0x74359ad7,
+    0x0d7ac2ac, 0x3fd7a9dd, 0x2bdbae4f, 0xa4d35c9d, 0x670746e3, 0x829193a3, 0x4da90918, 0x37cfdcde,
+    0xeade1c9e, 0xf8a04fe4, 0xb158eed5, 0xb0c5fdeb, 0x534515fd, 0x47f6bf46, 0x2fb15cf8, 0x56cfee31,
+    0x48d2c70d, 0x78a50923, 0x254aee84, 0x99681a9c, 0xa8af1206, 0x4386bf7d, 0xc88ce661, 0x1eed1746,
+    0xa6971909, 0x76000a17, 0x440203cd, 0x12e8697e, 0x04e80a9a, 0x209f90c8, 0xeba94be9, 0xf6934ca6,
+    0x4b39097d, 0xf9c5b76f, 0x3e474bab, 0x19852216, 0x7b414b25, 0x8335db3a, 0x2f9b9d39, 0x2c4cf590,
+    0x0995f150, 0x8983f333, 0x4b5db54b, 0xf602002d, 0x45948bc1, 0xe89cd571, 0xbb0670a0, 0x3cef2e00,
+    0xa3b92d03, 0xa7389f59, 0x8adb5047, 0xd7b80f38, 0x9cc42ade, 0xf5c878e4, 0xc4cf26dd, 0x9604209b,
+    0xd750bc47, 0x9dd730fd, 0x17b22cb1, 0x39cc663e, 0x4d7dbcba, 0xcf9867ea, 0x2a52e12a, 0x30298a53,
+    0xd9464586, 0x8f3a1a97, 0xf7957106, 0xd674d74b, 0x8bbfd404, 0x90195d3c, 0x72fb6000, 0x5c751334,
+    0xfd17efc0, 0x1575aa7a, 0xa2f998ec, 0x483c7e9c, 0x29286a05, 0xbbadbc06, 0xbd1cc3b0, 0x0c9293a8,
+    0xa628210d, 0x87f2706a, 0x2ce44e8b, 0xe36a9de9, 0xebc92301, 0x5276f762, 0x3d0abd2d, 0x75f96cbb,
+    0xf639f331, 0x932bd912, 0x275553da, 0x3ecf36a5, 0xea9e7207, 0x82813862, 0xf8ccdc5e, 0x5037c61e,
+    0x934e383a, 0x4e980a17, 0x21047ec1, 0xf9b0333b, 0x7eeb8c48, 0xc3fe1cd8, 0xc5385eeb, 0x76447dc3,
+    0xc8af6e27, 0xab2e1dea, 0x8d2fef59, 0xac3d5edb, 0xe63a58a5, 0x81e08351, 0xe0bb9dbc, 0x04318f3a,
+    0xb721ffd0, 0x0ae2defc, 0xc1ad0629, 0xf254eddc, 0xadeb13ea, 0xeec57e96, 0x807e62ad, 0x99fcc86b,
+    0x25ac562b, 0x39666e4d, 0x308d9107, 0x7b98515d, 0x0d009d61, 0xa40e5f51, 0x56bc7903, 0xc89f63fe,
+    0xdc53d9fc, 0xb45db94c, 0x370a3bca, 0x8138815f, 0xc8ad7fb2, 0xab0cd4dc, 0x9bbc32f1, 0xcb445354,
+    0xfd6e057e, 0xb05a818b, 0x76d835af, 0x490e619b, 0x3c56ecb2, 0xf90065b7, 0x093f843a, 0x33996784,
+    0x0a626b34, 0xae5129cb, 0x46acf103, 0x2a39d476, 0x46819511, 0xf6c50789, 0xc7b39501, 0x34dea46f,
+    0x626b4cd7, 0x30419656, 0x3363c933, 0x6cbbc128, 0xf7246054, 0xeee8f6d9, 0x4d25cbe5, 0x092851b9,
+    0x9471545d, 0x752bccab, 0xb459075c, 0x7255f455, 0x95b7bf64, 0xb9c588fd, 0xa12155c0, 0x53a8bab2,
+    0x4b4135f4, 0xcafdb59c, 0x215a955c, 0xbcc6c72a, 0xbed6917f, 0x42d2e4b2, 0x0c105377, 0x9dfa628a,
+    0x7bccce46, 0x8e4d7566, 0xb1d16f1f, 0x71e6bb46, 0x1a520f4f, 0xddc8c4ae, 0xbbc7f393, 0x59c7cc77,
+    0xe2051c5a, 0x7656f2ea, 0x5431894a, 0x499685d4, 0x82c7037f, 0xc60f200a, 0xd20d627f, 0x3c8ce4f7,
+    0x90a72830, 0xa0a07318, 0xb933c029, 0x656bb0e6, 0xb4405a08, 0xc91f7180, 0xfaef1796, 0xb50a62d5,
+    0x2f4846b1, 0xbc908269, 0x387d4007, 0x3a8770da, 0xd73e2f41, 0xa0cb51bf, 0x52f11ee0, 0xec274e46,
+    0x640c5be3, 0x15518fb3, 0xdf414769, 0x5701b0c4, 0x6d6499ac, 0xdbf1e1d4, 0x8b00264e, 0xdcb4a51f,
+    0x94e47b31, 0x2770f487, 0x1ee8c715, 0x1684fbe2, 0xe8adadbc, 0xf97c0914, 0x3ee99f07, 0x359d8561,
+    0x9868bbde, 0x72d76b22, 0xe399ea8a, 0xaa552f55, 0xc0bdfc4d, 0xa7071686, 0x2d9fd1f1, 0xc7c7355e,
+    0xd7a31be0, 0x5eb39c8d, 0xaafa6761, 0x78f62b80, 0x08ab7609, 0xf0d1a4ce, 0x674e3bd3, 0x0da90ee4,
+    0x9451c59a, 0x3554badf, 0x1c3fca4b, 0x47d1359c, 0x740b41de, 0xc8114d55, 0x68f7a44d, 0x4313ccbc,
+    0x929c4929, 0x11f44378, 0x4fd93f69, 0xf6bb1414, 0x2d57f107, 0x20fd0b97, 0xc2ebb797, 0x9323393f,
+    0x23dd57bc, 0x31507bea, 0x76f54167, 0xac3c2c6a, 0xf44ddf08, 0xc679c4ad, 0x96e5d09d, 0xf2b2117e,
+    0x474b4efe, 0x3cc38327, 0xbf2b6e59, 0x7109c89b, 0xd13a251e, 0xe497eb64, 0xa7a9a22c, 0xd81e571d,
+    0x25e3ffbc, 0x5fb6ec1e, 0x9fa4617e, 0x881d1faa, 0x3162095a, 0xcd804063, 0xbc31377b, 0xaaba001a,
+    0x3616fff9, 0x266584c1, 0x9fff920a, 0x91c0a6d5, 0x07308b47, 0x203d9dd7, 0xf5d4065d, 0x8a5d8b65,
+    0x621cee3c, 0x335553e4, 0xdfd03d7b, 0x0919183e, 0xf25d0227, 0x3476b3b9, 0x9f93358a, 0xb226b88d,
+    0x1bdee782, 0x2059039e, 0x891eb906, 0x18243f7f, 0x682d2523, 0x8c628c4a, 0x68573bd8, 0x8fad2197,
+    0x502c7369, 0xdf7d110b, 0xc7ee0599, 0x607e3aad, 0x175ceca6, 0x671a9ac3, 0x6cdfcab0, 0x4ea402e0,
+    0xc459d3df, 0x6db07c5f, 0x323ed22f, 0xc3b21770, 0x652bcf3f, 0x2c899ecc, 0x8ee3053d, 0x46206e5b,
+    0x390bdd72, 0xe01153e4, 0x68c0c864, 0xd0cccb2b, 0xc01f309b, 0x1fddec2c, 0x4f37a158, 0x85d12a31,
+    0x12c087f3, 0x617db15e, 0x13ba24f1, 0xec7faf5a, 0x8e511df7, 0x11b18d3e, 0x09778e42, 0x17bb0717,
+    0x3a180836, 0xf3965a1b, 0x593ec147, 0x5af4946e, 0x571cbf5b, 0x501637be, 0x133a180b, 0x9f6914e6,
+    0x9c3c0a02, 0xd5cd7687, 0x400053e1, 0xd3bd61fc, 0x932eb1fe, 0x4344cbbe, 0x9039e8f2, 0x59883c7e,
+    0x01a51536, 0x55472615, 0x874e29fb, 0x1c3cf22b, 0x9a311445, 0x67c4d9bf, 0x9752f67e, 0x2a061749,
+    0xe8a0752b, 0x1efb631e, 0x2ea0855f, 0xa1ca087e, 0xddcd1a14, 0xcf3d04a3, 0x85de7961, 0x52949330,
+    0x05b1ac37, 0xfd48713b, 0x1e99e9ec, 0xe86bff77, 0x4269839c, 0xd0e353bc, 0x711dafc5, 0xcae27c34,
+    0xb7b688c3, 0xcf36923c, 0xdb1e7ad9, 0x0784a459, 0x7c743220, 0x33c51fa3, 0x5eed8dba, 0x644ecf52,
+    0x68991a5e, 0x0009ccc5, 0x2a48a973, 0xf2e2afa0, 0x9c8e6718, 0xa255d862, 0xb09c5c23, 0xe28df3b7,
+    0x0ad49a11, 0xf89e74f6, 0xdf084e4f, 0xbc8b1a85, 0xf8114d0d, 0xd24f374c, 0x4ddce930, 0x3c293efd,
+    0x0be903e0, 0x0646c11f, 0x89fceeb6, 0x79f2ac83, 0xf1e69d60, 0x1881d835, 0xaa531b36, 0x4798adaf,
+    0x451fadb9, 0x76bdf800, 0x8d79f6b7, 0x31a65962, 0xd4d3b229, 0x824da64e, 0x7cfd95a4, 0x3aee6120,
+    0x5e178908, 0x7459fb6c, 0x9c199806, 0x4e295304, 0x0e6d5291, 0x967d3b56, 0x307e31bc, 0xc9c27e6b,
+    0x25ca859f, 0x6a4c43b4, 0x3cf06e61, 0x98382a21, 0x71ffe826, 0x120131f5, 0xfe814c3c, 0x2a66254d,
+    0xe5a0974c, 0x31b1486c, 0x496bde33, 0xfa1fdb12, 0xa222c6ed, 0xcd4c8f5d, 0x7325076c, 0xaeafd6d4,
+    0x401789d8, 0xad064491, 0xd86f7d36, 0x408db202, 0x997b9e96, 0x3b17221c, 0x3c121464, 0x7dbbc68f,
+    0x8841868d, 0x92b2c5cf, 0x0a0e2001, 0x945f09d0, 0x3f2fc213, 0x978dcad7, 0x7fbc6dac, 0x839a641b,
+    0xac6ab28b, 0x53839ca5, 0xd361b7a2, 0x21f376f4, 0x14754d69, 0xf7ab2583, 0x1f11afcd, 0x55cee208,
+    0x252bf72f, 0x4211a452, 0xfc33dbe3, 0x87ab7b90, 0xd89ef39d, 0xe6cba37d, 0xa737c126, 0x6c2d4553,
+    0x3c8f06cd, 0xc8267bd5, 0xddad2578, 0x59cbef72, 0xd546ecd5, 0xbacb0234, 0xb354614e, 0x86c7b8de,
+    0x51f97b0d, 0x5731578a, 0x4e85dabb, 0x947384bc, 0x54c0fb30, 0x8a1fd2d0, 0x84a50dff, 0xbe93fee3,
+    0x317b26e8, 0xe312bc8b, 0x8eba0a9a, 0xd69c7b5a, 0xbe1639fe, 0x30908203, 0xdf72fc55, 0xf9d5d1a7,
+    0x00000000,
+    0x8afe492a, 0x784bcd1b, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000302231454903657293676544 */
+  { 0x00000000,
+    0x754fc27f, 0x5c7e5d6d, 0x52bde776, 0xb429c810, 0xd3c75a8e, 0x45f61ec7, 0xa443c0d8, 0x550e3867,
+    0x5482f546, 0xf64e010c, 0xba0be8e4, 0xe1b3713d, 0x9a7b4a42, 0x1e92a88a, 0xa95d61a2, 0xde92480f,
+    0x368c6c6c, 0xd8874640, 0x4f99435e, 0x9ec7c54b, 0xb41f5311, 0x59da3e0c, 0x6fa03e9f, 0x850f851a,
+    0xc182b761, 0xc0abb71e, 0xdfd6ab1a, 0x07e60497, 0x8e8b22a0, 0xd6b1dc99, 0x810c4a02, 0xfbd53396,
+    0xcfa3fa5e, 0xb266763c, 0x1375643e, 0x11324e94, 0x3503075d, 0x2dd8e517, 0xb2534ea4, 0x29c3760b,
+    0xc320c0d3, 0x9ebcbd9c, 0x2c8bcf55, 0x48ddd83b, 0x294c9977, 0x8f48bca1, 0x10987992, 0x7f044779,
+    0x7594c118, 0xcaa33f8e, 0xc0fbf846, 0x20a4734d, 0x7c7fad49, 0xc0a63659, 0x182d4170, 0xdafa5026,
+    0xf57a6bdc, 0x42f3e10c, 0x3f0c075e, 0x1ad1e13e, 0x610a6d77, 0xa7d51cb7, 0x42354410, 0x98e17a61,
+    0x6b035c29, 0x1810c990, 0x463d687c, 0x1b36c6f1, 0x89dbe369, 0x78a56473, 0x5ad1977b, 0x90aed3c1,
+    0x28f38007, 0xd7bd2294, 0xfc42eca3, 0xb9906e57, 0xccd746e9, 0x60d7479b, 0xd1718b60, 0xda364673,
+    0x1ea34905, 0x77ba9acd, 0xd5b4539f, 0xedd17699, 0xf1efa561, 0xf1a559d5, 0x1cc79c08, 0x65375fa7,
+    0x809952c7, 0x1c83f9a2, 0x06998479, 0x4ad39db8, 0xdd97520e, 0x7d5e7605, 0x701b89a5, 0x2897ba08,
+    0x78ac4253, 0xcc9184aa, 0x4766b417, 0x4e908af7, 0x278cd4f6, 0xe966ec39, 0x73ef7dfd, 0x18ff8453,
+    0x872017f7, 0x06024632, 0xd4e7b43f, 0xc28eeeea, 0x3d2066be, 0x950f16d6, 0x9c925873, 0x39237cfc,
+    0xbdb92f4d, 0x75752459, 0xdc93e21b, 0x056f92d2, 0x426de94b, 0x25472182, 0xcdd192d7, 0x00db91a1,
+    0xc6767885, 0xfb79f8da, 0x0f40d10e, 0x131cbaf0, 0xeb6d9615, 0x476b5741, 0x11c93f20, 0x611416f0,
+    0x81780b81, 0x1da8456c, 0x4b55865a, 0x59c8cc13, 0x56ec5d5a, 0x47b51c87, 0xad002a1f, 0x1d6ee9ce,
+    0x728b910e, 0xf8611233, 0xe4032ab6, 0x81768cea, 0x24f57241, 0xfd81f2b2, 0x1eeca0f4, 0x9b5a926d,
+    0xde37ab8b, 0x3a09a6be, 0x39ffeb96, 0xed674e36, 0x2565b971, 0x6e876232, 0xdc26d6f6, 0x76945f66,
+    0xe1cef768, 0x71840734, 0x1cda1167, 0x02c4ccb4, 0x31ac36ce, 0xb4e99d09, 0xed8b14c1, 0xbf846dae,
+    0x2949af65, 0x1fe59dd3, 0xbb1bf76f, 0x26c02c3c, 0xaf1ad074, 0x0711b598, 0xb4ad5ff1, 0xf7eea9d8,
+    0x995ae9e7, 0xf78be5cc, 0x8f7ff2f9, 0x4e716c51, 0x0b7b8398, 0x62ed8514, 0x16907f81, 0x1959bef1,
+    0xb0ea2c79, 0xc4e060d8, 0xf841c54e, 0xefd76c4d, 0x6ba1b4b2, 0x4e5155d8, 0x24bd2b77, 0x7679dc9a,
+    0x64286e6e, 0x2efc8498, 0xe5c7b4a0, 0xfd08d716, 0xb8640d09, 0xa23f1874, 0xca21bccf, 0x445faafd,
+    0x699958cd, 0x303ff3e6, 0x11de7309, 0xd301368f, 0xf7dae7e4, 0x5826a5b5, 0x3967ec0c, 0xf6f0ee10,
+    0x8479ca00, 0x0320e79b, 0xa53e2332, 0x561046b3, 0x6610eae8, 0xacf1b6bc, 0xe6856ef3, 0x0c56e574,
+    0x29b60d59, 0xd8e1e0f6, 0x6b3cd32a, 0x37e02ad2, 0xd7532c1f, 0x2151de08, 0x12bd08c5, 0x87edb2ff,
+    0x80fbf4c6, 0x8aaef2e5, 0x61eba1a7, 0x0a045fef, 0x62ed804b, 0x3b9dc8fb, 0x532ce1f4, 0x75fbad69,
+    0x85ba72a7, 0x58e9933c, 0xd1368c2a, 0xd4f61d09, 0x5196b6e8, 0xd79e0006, 0x85dfb4af, 0xa6ac2aa0,
+    0x72ce050e, 0xa67125be, 0xaa68b133, 0x0730e280, 0x51d941a4, 0x7c82547f, 0x58069043, 0x7464bca3,
+    0x2b3dbf1f, 0x14824b61, 0xb4b9d1dc, 0x8929da93, 0x97cbeb9a, 0xfdafbd73, 0x5cdcb944, 0x7d0e0406,
+    0xac453641, 0x0a8d45d3, 0xb4518711, 0x09f7aeae, 0x30713b0a, 0x1943704c, 0xc198c1f9, 0xb26c254a,
+    0xee8c611a, 0x40130b1e, 0x7aa95ac3, 0x71ab3117, 0x624758cf, 0x6f5db4ff, 0x5c2333b3, 0xed8ca179,
+    0x262cd00e, 0x02512b6e, 0x277c4673, 0x53e14d9b, 0x5b58138d, 0x83ee7c32, 0xfc5b99bc, 0x6593f75c,
+    0x61a532cd, 0x940e99af, 0xf16aaa2c, 0x22ce1f7a, 0x43b2806a, 0x9cbb8399, 0x7a9da3a7, 0x7823c5a2,
+    0x6246a171, 0xc0b4ffc2, 0xddeb9087, 0x5facd337, 0x7861dda9, 0x8e398dbf, 0x166f92ba, 0x320b5b14,
+    0x905cbc79, 0x1738f6e0, 0xf3696069, 0xf3396308, 0x6b0d2e5f, 0xaeada38c, 0x470b1d09, 0x8e2815c9,
+    0x91e50e19, 0x519c8879, 0x4f809d6b, 0xe1784350, 0xae65630a, 0x08a7e074, 0x5de00152, 0x4f8dd498,
+    0x39437b50, 0x575554b3, 0x07b24454, 0x0b2c5f48, 0x45495d15, 0x5bc67b9e, 0xfd983341, 0xc204601c,
+    0x59b37688, 0xb689dce5, 0xa4f5301e, 0xfefd8630, 0x6ca98035, 0xc40e07d8, 0x37aa6bb0, 0x9d732a9f,
+    0xd4e561e0, 0xb7b0af10, 0x771b8abb, 0xe928e033, 0xc046d4ed, 0x676ed3cc, 0x537f260a, 0x7a3f9475,
+    0x48f1baa6, 0x6752db53, 0x2d8c3f7b, 0xd1f4978b, 0x4be7c989, 0x37f567b3, 0xf55e3f7b, 0x7476d5aa,
+    0xf4ad0e72, 0x95494c21, 0x155a80bf, 0xd7609792, 0xd49ba536, 0x02a24719, 0x2035c6e7, 0x38d61533,
+    0xdfbeba08, 0x6ae1663a, 0xcd05a16b, 0xc56e995b, 0xb5b8bb86, 0x0b91658c, 0xc113ab06, 0x988d63c8,
+    0x770a6160, 0xb6a57543, 0xda98704e, 0xd3ad3ee5, 0x867e5496, 0x897e3d11, 0x0fb31452, 0x0b4d6502,
+    0x9ee40262, 0x129c10e0, 0xd2c67617, 0x3ab685dd, 0x69d60aa3, 0xf3e4ea6c, 0x572f5c96, 0xd0b7d4fe,
+    0x25afcefc, 0xd5ce852a, 0xd528ce03, 0x41b4bde8, 0xbc13efff, 0x3dd23725, 0x5c81d073, 0x78a7c446,
+    0xf81f18c1, 0xd861da5a, 0x6bfe0c2f, 0x25868ceb, 0x4109bca0, 0x60393495, 0xbe597299, 0x86715df4,
+    0x7355c83b, 0xfbceb2c8, 0x0545c0a6, 0x76579641, 0xa594cbf6, 0xb0fbbde9, 0xcce7e4da, 0x41d86b61,
+    0x83070620, 0xf77d3219, 0x3cfde322, 0xea6b54aa, 0xdf84876a, 0x70008f21, 0xc19fd0c1, 0xac0ee248,
+    0xdcfae1e0, 0xc049d3c2, 0x01f24ef9, 0x1ecd6adb, 0x8dd8f5f2, 0xdc8d2422, 0x3ec7637c, 0xf3eab196,
+    0xcac762b4, 0x074ae9b5, 0xebf8732e, 0xe36bd950, 0xd5ca5a06, 0xb6d2face, 0xc8c9aa54, 0x4d14f21c,
+    0x1986abd3, 0x582ae32a, 0xb6d0592f, 0xca081635, 0x7202ec09, 0xc680d276, 0xe91a17a0, 0x6ef29d83,
+    0xe04e0a0e, 0x972bcb96, 0x0b8cfb8e, 0xea1eb2cd, 0x6c409b9f, 0x200d4201, 0xac3d0821, 0x650d0c4f,
+    0x20a587b6, 0xbf04b1f5, 0xee62d6eb, 0x1f052839, 0x9d619459, 0xb8c7a3a0, 0x526fa309, 0xc56a4403,
+    0x84e71416, 0x4837e0cb, 0x8259911c, 0x7b12985c, 0xc5b9b5e9, 0x42c03c71, 0xcb43043a, 0xbca33855,
+    0x27f8b9fe, 0x8e763e05, 0xf90e6767, 0x777680e1, 0xa74ef72b, 0x5ba21da9, 0x422c7269, 0x464d68df,
+    0x9e4b9c86, 0x660dc1d7, 0xa04ba379, 0xd6fca042, 0x06f7d23f, 0x79b8125e, 0xc351691a, 0xd96fc0cd,
+    0xc1815d02, 0x4fe4b38c, 0x6d1c73ec, 0x83115e56, 0x65c2ae3a, 0xbe4d3c48, 0xb1237b9f, 0xf0809513,
+    0xb0d06e92, 0x37928277, 0x564e71c9, 0x98857ec1, 0xe2d802da, 0x591c43b8, 0x5b44c6b1, 0xc50306f1,
+    0xd02b4aca, 0xaf8441d9, 0xbc8fa377, 0x154495f0, 0xee265c10, 0x62a444ec, 0x9f963c95, 0x5fe9e64b,
+    0x064349c0, 0x204f5208, 0x76bea6f9, 0xf0fe8d3c, 0x43821b3e, 0x1cb16df7, 0xbca2f968, 0x2713f588,
+    0xf6f5b1a5, 0xc0b9e245, 0xafb902d5, 0xbd73cc18, 0x1dfeffd3, 0xe3df16ff, 0x4ecb19d3, 0x7131844c,
+    0x831c09c2, 0xafca3903, 0x1abf3051, 0xf4fc0c33, 0xc4300936, 0x9a8708b0, 0x032aed0c, 0x3f63e289,
+    0xcb781bf0, 0x5041991a, 0x9fc983ef, 0x3c1a450f, 0xeef6ae8d, 0xb6cf9b43, 0x02b5a224, 0xf2e69fb4,
+    0x021fc693, 0x3e773638, 0x9a6b85b3, 0x0ea08aa0, 0x090f0e37, 0xc07ed184, 0x0286425e, 0x2b932b85,
+    0xdc9ac058, 0x42508823, 0x937113ac, 0x3e1a9b19, 0x1d76cb3a, 0x03d5c5b3, 0x611605ca, 0x014d7de9,
+    0xa7dc9262, 0x26d9efc1, 0x8a24f6db, 0x651be242, 0xdd9c273b, 0x1945877e, 0xbd4eddc3, 0x6bd936df,
+    0x23431620, 0x89cf651f, 0xbae095db, 0xfb0839c7, 0x58784194, 0xb51cf0ae, 0xb1eb1821, 0xa3bee2c9,
+    0x271b3099, 0x7bf10be1, 0x0f645287, 0xffb7ae02, 0xf6b0e9a4, 0x41e3b79d, 0x63dcbddf, 0xcce0f75e,
+    0xb5f6b8f2, 0x0a83adc1, 0x41ce5f05, 0x57af8208, 0x8f604714, 0x6f76e9d8, 0x5e5f546d, 0x98b8bd01,
+    0x58df67e4, 0xc9fd0ca6, 0xaf58de42, 0x7f197b15, 0x21ea8466, 0x81e6e7cc, 0x5cf3acbf, 0x1a4a02b7,
+    0xfad11187, 0xdbba81d7, 0x742ca48b, 0x36936b41, 0xf905f857, 0x1183c333, 0xb7f8c34d, 0xf7ce68c6,
+    0xeed6f32c, 0xe2d13d45, 0xbc9f527d, 0x06126632, 0x38a810d0, 0xad7c77bf, 0x6a2eb857, 0x7bd8083f,
+    0x67c38125, 0xda63d2b0, 0x6f3e8890, 0x7c475aa1, 0x88c13edc, 0xc3e81fc7, 0xa0e3ee7b, 0x337af305,
+    0xe18cb351, 0xacbe8d10, 0xe1f7e40a, 0x31c94e3d, 0xaca99305, 0x8f23e006, 0x31f47b76, 0xfeda5478,
+    0x5a02dcff, 0x5d4f2045, 0xe3355258, 0xb1417e6b, 0x5ab26ff5, 0xd07e1424, 0x6971cf4f, 0x2fd77f1a,
+    0x32aec4b5, 0x9463423d, 0x6ae91fd1, 0xd0e1f136, 0x099249a9, 0x35f3c7a1, 0xa48bc36a, 0x135fe28d,
+    0x75f47346, 0x519149f4, 0x1901c8a9, 0xc8bda57a, 0x04d7dd41, 0xf832f74c, 0xad55d183, 0x10f4488b,
+    0x389b0822, 0x70bb1469, 0x8e754d42, 0xd17ea55c, 0x5d3be421, 0x1c476e0b, 0xf502f574, 0xd7540740,
+    0xbffcee78, 0x1c799f9f, 0x8e9c0955, 0x08625a2e, 0x4d86eefa, 0x475934ec, 0x2733b980, 0x0432cc14,
+    0x733614e7, 0xd25ba139, 0xbbe10346, 0xc4ebd497, 0xb7d3c8c0, 0x905207de, 0xded527a6, 0x00533c34,
+    0x9819f97b, 0x51b7dbdd, 0x9eb0e4ac, 0xae12bf4b, 0x5afccdbc, 0x95292ed3, 0x26fd53bd, 0x40168ee4,
+    0xeade4e5a, 0xb1c6e41b, 0x172b5e42, 0xc4ea7592, 0x11cd9fd7, 0x74fdc212, 0x0ee83469, 0x2975164b,
+    0xf79507af, 0x6b25b69c, 0xbe080467, 0xe3e5f896, 0x09b03ec1, 0xb7c50e98, 0x06b3b5b1, 0xa007a80c,
+    0xc852a7b2, 0x8652ca4a, 0x9b0abb7e, 0x8a9e9109, 0x486bb663, 0x80fa4730, 0x7b32cbc1, 0x89309aa6,
+    0x12d55923, 0x5e4f78d2, 0x10a70395, 0xb03f0345, 0xed16e3f6, 0xf4031fa1, 0x49538b97, 0x430f62bb,
+    0xe2be2462, 0xf134d863, 0x87d86865, 0x5d12f23a, 0x5852749f, 0x3b88025e, 0x37a1c751, 0x183d04d2,
+    0x28165be4, 0xbff78176, 0x8f10a519, 0x544fa09d, 0xd94fd7ee, 0xec9ec2c1, 0x77180187, 0xa19885c7,
+    0x80126821, 0xbac1cdc1, 0xf169f7c4, 0x75a07c6c, 0xdf3bac48, 0x9b8766db, 0x9611bfac, 0xfcf25640,
+    0xac8b77b7, 0xdf3cc99f, 0xef44b70f, 0x29ff5e08, 0x2d8fb681, 0x0ea7bf2b, 0xa0764e1b, 0x50e8063b,
+    0x24912277, 0x3b053907, 0x98fd1a88, 0xcaf68725, 0x6431ad47, 0x0370e087, 0x96f39145, 0x4811c330,
+    0xc31c988c, 0x50bc7e52, 0x76c2c93e, 0xc7224c7d, 0xc9cb93d2, 0xff954713, 0x996402df, 0x71f8596b,
+    0x04f8df72, 0x3f824cc0, 0xe61ec8c0, 0x29c2db67, 0x195985fe, 0x586934b7, 0xbd528f29, 0xc4e7b8bd,
+    0x0af475ba, 0xc8615866, 0x9295a6f5, 0x25d601b9, 0x3877c26a, 0x606bd3b8, 0x8efa43a9, 0xf7c8cb44,
+    0x45023c56, 0x6b51e040, 0x656d733c, 0xa672ea21, 0x32db0391, 0x5553a6f5, 0x842163f3, 0xa6b2ddfd,
+    0x8312bdee, 0x8c90894a, 0x70cbd7ba, 0xd71a7cee, 0x2bab00b8, 0xc2e722e3, 0x8a30004d, 0x319e21fe,
+    0xa70cf1c6, 0xea923679, 0x225c143c, 0x8ec9150c, 0xdf329656, 0xf6a9659a, 0xc6f8e1a7, 0x25e59aa2,
+    0xbfad90d3, 0xab6a6b5b, 0x01853b25, 0x811a44b2, 0x1d92dabd, 0xd1d8d097, 0xc249834d, 0x16858dc3,
+    0x24a0ab73, 0x6c308e59, 0x574978e6, 0x8b5ba552, 0x71be6851, 0x7b1b5b19, 0x7342bd78, 0x62510959,
+    0xac4758a6, 0xbff71fd7, 0x5d78ec8a, 0x3e44563c, 0x113cea6c, 0x99ea9155, 0x57f3e470, 0xb797ffe7,
+    0xdcbb33a0, 0xa610e91d, 0x60ad9f95, 0x8698da17, 0x6c6319f9, 0x9329cfa7, 0x550bca1c, 0x06d9292b,
+    0xb0ac8a8d, 0x5c1f7cf1, 0xbe7f457e, 0x61c365e0, 0x472d5f88, 0x560e06d2, 0x900d6350, 0xa5fe97be,
+    0xc38457c0, 0x54750613, 0xf516e05d, 0x29eabaa3, 0x136a9ca0, 0x8cf0f2db, 0x7110b774, 0x9cb11179,
+    0x224c9ee5, 0xe984cbbf, 0x3efa8659, 0x90e6164d, 0xe34d9d20, 0xe95ad489, 0x727ff9a6, 0xf20f28bc,
+    0xeb01fbe4, 0xe8da8c6b, 0xbdfdd4bb, 0x36ac2fcf, 0xddc4cc48, 0x12caa153, 0x23e83243, 0x70a38b92,
+    0x26889464, 0xd8a2f0ea, 0xc8a92ec2, 0x2090be85, 0xa4eaf100, 0x1dec2152, 0x8cb8b4c0, 0xaa0f51f9,
+    0x3d9bc76c, 0xac4097a7, 0x541b28da, 0xcbe9b874, 0x19ca5ad9, 0xa246f2a6, 0x3348d174, 0x4f087765,
+    0x3036abe4, 0xbb1d9ce6, 0xccf66c37, 0xea37b63d, 0xdea6b3f6, 0xddfdbf80, 0x2ae24641, 0x8e5b572d,
+    0xafeac26f, 0xeb6cfb1e, 0x17c7ecec, 0x2b67faed, 0xfd328e3b, 0x8042c6da, 0x679771ca, 0x5e9bf15d,
+    0xda31849e, 0x3ab9c6cd, 0x78220e5c, 0xe2a6f5cb, 0x6bd8dccf, 0x51a8b680, 0x194b5769, 0x5e9354d0,
+    0x919b5ef8, 0xfd4e11de, 0x44a55509, 0xf8b4261c, 0xf7f24c4e, 0xc0f32995, 0x642abca8, 0xe3bde503,
+    0x2b49dfb6, 0x84b56e4b, 0x6aadcd7c, 0x8cb73601, 0x94f1feea, 0x24710f41, 0x2de3268d, 0xffd18777,
+    0xe5a8a307, 0x96e3af68, 0x044ec223, 0xff28bfce, 0x3458d508, 0x089a979c, 0x954b01d5, 0xa4fa3200,
+    0xc7c311d2, 0x8f5afad5, 0x06b500c9, 0xa337d0a0, 0x9d9c97b4, 0x9aeb60f5, 0x00ff7678, 0xcc15b49d,
+    0xa2b48915, 0xbba72aa6, 0xf2063caa, 0x8fb24151, 0x38fa63eb, 0x53e24528, 0xd775c9fc, 0xefe71d2a,
+    0x10d01a6a, 0xcb99ade3, 0xc3426d76, 0x7494fa6b, 0x674b08a4, 0x77118cea, 0x1bfbf06e, 0xeecea513,
+    0x0d1b96c2, 0xb1b719c7, 0x1e8b5287, 0x07aa2c7a, 0x50fe6210, 0xf9554d8a, 0x08dd0870, 0x6cd74934,
+    0x5f4f9de5, 0xb9025f0e, 0x594ec5c0, 0xfabc514e, 0xe8701df7, 0xa413a5a3, 0xa4e8bf95, 0xf5241a8c,
+    0x9ae4defa, 0x8cbf34a2, 0xe042877d, 0xf9e5d30c, 0xbf76c0c8, 0xa814e453, 0x605d454d, 0x01f0951a,
+    0x813dbb4a, 0xdd01cef0, 0x09279e82, 0x060ba6e5, 0xd5ab5924, 0x31ccfc84, 0x93fb820b, 0x5dda99e3,
+    0x8ae968bc, 0xb6590f91, 0x9bdf1e08, 0xa0fa30d8, 0x5b3366e4, 0xb8bc1b3c, 0xca9cbaa3, 0xbf1b792d,
+    0x65ec7c29, 0x485c5cde, 0x7fe14095, 0x16e980e0, 0xf4187bf4, 0x3dac2418, 0xd5df19f3, 0x379c0bc7,
+    0xe774358e, 0xbeb20844, 0xd1c3e691, 0x26879e05, 0x17480312, 0x36942107, 0x7f38dbc3, 0xbb6147c5,
+    0x3f2a1237, 0x2647aa37, 0xdbc9d3d2, 0x3a3013d4, 0x46864f5f, 0x03e6908b, 0xcb9a4593, 0x2406fe7f,
+    0x482a6920, 0x17473649, 0xee8be172, 0xb69333e4, 0x33d36bef, 0xef0f9806, 0x03cbec20, 0xfce619d2,
+    0x00000000,
+    0xc57f2494, 0x3c25e68d, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000151115727451828646838272 */
+  { 0x00000000,
+    0x647d3516, 0x63db80c2, 0x023daceb, 0x19c87a35, 0x30f0c811, 0xf57bf45f, 0xb9f43003, 0xaa937044,
+    0x72bc9672, 0xee416fe1, 0xad781557, 0xe757c3d3, 0x76ca3a0c, 0x5612f48a, 0xcf0dc323, 0xfd4be4f4,
+    0x31810ee2, 0xa39b8a0d, 0x93a3524e, 0xc1306bd2, 0xa91af35a, 0x48cf27e2, 0x0795ba1e, 0x3056bbe4,
+    0x16f5b73d, 0x5cb4b7b8, 0x301f64c7, 0xda612219, 0xb26c8016, 0x22a3ed6d, 0x37f811a9, 0xa66fb156,
+    0x66dde101, 0xa4f24f03, 0x00ef9c66, 0x8bfcd5da, 0x2c7608b0, 0x6c4a08e7, 0xdc82eee8, 0x68130bc6,
+    0x6020ff94, 0xba6dfe49, 0x579e7955, 0x16ea14a4, 0xcdeb4225, 0x7c386bc9, 0x6be33cbb, 0x761555af,
+    0x523a8704, 0x70f3db20, 0x06d0d7c8, 0x7ca6fd5f, 0x47806ee3, 0x1c49c444, 0x46335d0e, 0xc120fbec,
+    0xdadce06a, 0xeb7f079b, 0x932ac3d3, 0xee6dba97, 0xceb84d09, 0xe82b9f0f, 0x44baea81, 0xacd6f884,
+    0x4a7c8ba2, 0x66c0106f, 0x228f1177, 0x58bc1e76, 0xcc5799e3, 0xc2f8fb7d, 0x84204ab0, 0xab9a25fd,
+    0xb2195281, 0xce3af339, 0x00b5bd60, 0x3d0ebde6, 0xb614b60c, 0x338adef2, 0xaaff0721, 0x5737ea32,
+    0xb05666e0, 0xba331f6c, 0x637026c7, 0xec561f8d, 0x8ae23e42, 0x7f005574, 0xd098faaf, 0x361955ca,
+    0xa37883f3, 0xd5a1f6e7, 0x5b3ee133, 0x57ca0f4c, 0x2a9bcf3e, 0x4a036f0d, 0x1d57b325, 0x4397a4c2,
+    0x0ceb92c6, 0x3909c584, 0x14084e43, 0xb3e025bf, 0xb01e56a6, 0x84d4a009, 0xf2a92699, 0x4777eaed,
+    0xf5509a13, 0xe62216d4, 0x54176956, 0x01cc6977, 0x393931f5, 0x476bdb28, 0x95e051d2, 0x8dffebcd,
+    0x2627960a, 0x7c056cb7, 0x4a71073d, 0x3e8ff981, 0x13a8a5a4, 0x3f7860de, 0xfd1001a1, 0xa00ea6a8,
+    0x603d6040, 0xadaf6d7d, 0x86ce1575, 0xfea03360, 0xf5c8fd0c, 0x1075dfb7, 0x9db120bd, 0xb820c48c,
+    0x9204d27f, 0xc3a69840, 0xd4e5c596, 0x86bc5faa, 0xf77358da, 0xc4a152c7, 0x0f670bb3, 0xe57a5fd2,
+    0xd87bac82, 0x8e70bda2, 0xa31d0f88, 0x980d924a, 0x4d9a3522, 0x478086a1, 0xaef0d40d, 0x63be6268,
+    0xcc6f7f9a, 0x930fa015, 0xd0ac2be6, 0xafc4c7ce, 0x96d2d9fb, 0xc4d2695a, 0x298b5cea, 0x1ce3657b,
+    0xea1a94fc, 0x8afe0f5a, 0xad570b55, 0x5fc52605, 0xcedc24be, 0x5e1e385a, 0x7e0c5eb9, 0xeec46bb9,
+    0x6867e34a, 0x42748dfa, 0x7d924444, 0xa6acfb30, 0x3927d441, 0x1d917021, 0xae8f0d1f, 0x007e9334,
+    0x27ee131c, 0x17583579, 0xe7a97faf, 0x9f9d75d6, 0x3f6a1d49, 0x77504e50, 0xcdbba07c, 0x966cab06,
+    0x8d79618e, 0x8abef491, 0xe18fa2a3, 0x0de9b0e7, 0xe195c12f, 0x3bbc40a0, 0xc681ff3a, 0x8811c8bf,
+    0x7f673012, 0x53881c3d, 0x617b5211, 0x7a3de0d1, 0xf7ccc20e, 0xce2d9973, 0x364ccfdd, 0x32cb63e5,
+    0xb7fb32ba, 0xdaf2f0f0, 0x2676da41, 0x4fda21f3, 0x2036dff9, 0x3d23c51e, 0xdc2245f9, 0x3ba988f7,
+    0xd5796fff, 0xf02258fc, 0x05387d20, 0x7881a3fc, 0xedabd625, 0xbb5943ff, 0xa92bf7b8, 0x0d7e51e3,
+    0x8ffbb50a, 0xff47d481, 0x734faa18, 0xa54bd42e, 0x2dfb5e07, 0xc253f42f, 0xee276893, 0x43b6924d,
+    0x4adcb5ac, 0x48733fa0, 0x0bc198ba, 0xccc2157e, 0x1a19ec58, 0xb557be9d, 0xdcaa50fb, 0x6085a57d,
+    0x7eaa7c90, 0xe9532bf6, 0x3c7877f3, 0xe0e094eb, 0x7fd00839, 0x6e9bf216, 0x160edaf3, 0xf8c77b73,
+    0x588f3d31, 0xbe948467, 0x5a3dbfd4, 0x65c9a1bc, 0x28c78502, 0x52044e56, 0xf6c3dbb9, 0xf3d51b63,
+    0x3258cc55, 0x4fb4abd0, 0x6765adbd, 0xd3e17a5c, 0x14fb00b9, 0x08bd8ac7, 0x86f96cb1, 0x12e140fb,
+    0xfcc3c771, 0x3262d53c, 0x44fff8b1, 0x612642ee, 0x1e446227, 0xb5351341, 0x45a0af28, 0x9fb6de01,
+    0x801b5264, 0x7ab0748c, 0xe2c6e467, 0xda2ffbfe, 0xc56a3f7b, 0xf7ce4110, 0x1ab0958d, 0xea9c1148,
+    0x5aaf57d3, 0x9809841d, 0x78836f31, 0x644378df, 0xd65b69e6, 0xb7705760, 0x2f02431f, 0xedaf1df9,
+    0x7a63dbfb, 0xa07e5b0f, 0x879b208d, 0xcac83f9e, 0xd6c70908, 0x760e9a40, 0x4df77761, 0x5f222489,
+    0x72a22e70, 0xd5045fe8, 0xbf7bd6cc, 0x7aac24ee, 0x558e606b, 0xba1f082b, 0x7e8f90e9, 0x2321377f,
+    0xcf70c5e4, 0x847349d4, 0x4dae4fb3, 0xa83cd58b, 0xf5b82f7e, 0x6e164a52, 0x0510a706, 0x0ac562f4,
+    0x6cdbaf4c, 0xac5cc027, 0xdcd80321, 0xf884e9ef, 0xcad7023c, 0x933c2457, 0x6f05c72a, 0xf4d128a5,
+    0xddd893d5, 0x1c3fea93, 0x69698735, 0x7cd58756, 0xd54ca287, 0x3c8f1420, 0xc2425e4f, 0x9298a958,
+    0x71f9db09, 0xadf407ae, 0x78cd5d07, 0x906cfa8d, 0xfddfb130, 0x44a8a4c1, 0x61390408, 0xa63c5f73,
+    0xb552c9b2, 0x2b5fd645, 0x9bd95ad9, 0x3deeb2df, 0x21a99878, 0xc5a14b17, 0xd31b9300, 0xa85b4d9d,
+    0x5b7bb11c, 0x28322c26, 0x5cf11219, 0x38dc3fdd, 0xfe39343f, 0x0bbe8044, 0x98b2d895, 0x18fd11de,
+    0x73b26628, 0xe233ab6e, 0x917d2a71, 0x7cedd557, 0xa2df6121, 0x1a2541f1, 0x10161d83, 0xd3794099,
+    0x0436eb2d, 0x3b327946, 0x78f9d45f, 0x3987d6f7, 0x762bae0a, 0x242c12e0, 0x8088537e, 0xcf8cb282,
+    0x9ba51dc6, 0xca107b57, 0x0b7fc153, 0x77121411, 0x20e4f743, 0x425f2775, 0xefb44eb3, 0x6d2ee790,
+    0xfcf391bf, 0xbcb56990, 0xa1fc9ca2, 0x7d9288d8, 0x1e6d5de6, 0xdb4bf4db, 0x5676a301, 0x09e73087,
+    0x030ddb11, 0x748d2f48, 0x88245531, 0x32fd5c8e, 0x4cd64c9a, 0xf170076d, 0x85b8d1cf, 0xc49203d1,
+    0xc703a545, 0x36de1548, 0xe5ee278a, 0xb6f63325, 0xc5ac45fe, 0x731a3466, 0xb1ae7c92, 0x5de44933,
+    0x63bb19dd, 0x982fbbdf, 0x7d916832, 0x41067dc3, 0x9432a183, 0xd4aba914, 0x2c6ad048, 0x8407c384,
+    0x9892d751, 0xfc7a848a, 0xf8fa37e6, 0x10f8427f, 0x0961d92f, 0x292afa7f, 0x6687ca1f, 0x3c9e20c4,
+    0x27ba4efe, 0xab70df52, 0x38e581cf, 0x967da9ef, 0xa2a65b1d, 0xfdd8ce0a, 0x55a1b219, 0x7210d481,
+    0x0c8e00f7, 0xa5633da9, 0xd6d8eead, 0xf0cec876, 0xde013e19, 0x9987243c, 0x5cff9c44, 0x0d97a90f,
+    0x5bae688a, 0xaf6de499, 0x94118a84, 0xc17f9d66, 0x5e99c2b1, 0x168d7619, 0x12426ca7, 0x6ed5ee52,
+    0xb1c5c6ec, 0x4aedc768, 0xa3f835f9, 0x8d270b60, 0x1e6a038c, 0x1d6294da, 0x789b36d9, 0x0aa68da8,
+    0xd3197ad1, 0xfe1230c4, 0x0df86f35, 0xe4cce8d7, 0xc739bdad, 0xd4bbd32d, 0x27a2f718, 0x02d34bf8,
+    0x9a4eb410, 0x8d0c599c, 0xc7069e4b, 0x2e0e9c44, 0x50e9c5de, 0x1de2e002, 0x10322266, 0xe48016d8,
+    0xa52ba282, 0xa003d0e5, 0x57f6c322, 0xfe5a3657, 0x66740edb, 0xa7344a58, 0xa96c0ce2, 0x80e78d22,
+    0x2b6ca2e2, 0x8c8d5e99, 0x2a7c6b73, 0x54847623, 0x11b0e4ff, 0x644b8090, 0xe2122f47, 0x8ed2c2ee,
+    0xf2ecddeb, 0xbc5716e6, 0xdd5e6fa1, 0x68e95b45, 0x1cab8be2, 0x3246b2a9, 0xbf632626, 0xf1d432c0,
+    0xf9754ddf, 0x8cbcf2be, 0xa722222e, 0x6d7d908c, 0x4af438e9, 0x84b2a103, 0x4acf2f48, 0x9babe12c,
+    0x92b2eb89, 0x93ab1067, 0x86735825, 0xf326a44c, 0xefd3bb3d, 0xb01abea1, 0xa3c23774, 0x6d6a5752,
+    0x5bb093af, 0xa0efea5b, 0x557d7320, 0xe1d60dd9, 0xc0cab9bd, 0xeaf120ab, 0x8ce24510, 0xf7f06aa5,
+    0x050d017b, 0x7e7066f3, 0xe3398bc8, 0xf313b366, 0xe379167d, 0xa2fbc74f, 0x05d0994f, 0x659bd7c2,
+    0x09b04a24, 0xb474d403, 0x878fa3f1, 0x2f5198d5, 0x5d5b1797, 0x388001fd, 0x7a96ee46, 0x45a72352,
+    0x2e0cb613, 0xdd2fd49a, 0xdf9ba570, 0xbc3cf715, 0xec3881ce, 0xbf56321e, 0x7876a4f2, 0x68bacdc9,
+    0x5c20165a, 0xf5747623, 0x0ec6e99d, 0x1ac1981c, 0xdb14eaa0, 0xd5414f16, 0xeea17a73, 0x693e7a93,
+    0x28d78e5d, 0xcb05dbac, 0x157d7c6e, 0xd02354c4, 0x278be0e4, 0xe78f9e3b, 0x7916bd38, 0xfddcfa51,
+    0x2d4575d0, 0xf65ddd45, 0xbc9234e1, 0x0bf98cef, 0x452ff6a8, 0x97a525fa, 0x4cd63da6, 0x3008c3bc,
+    0x4e7c0785, 0x778632fc, 0x82f98c3b, 0xb38e8e69, 0x3bf5d17e, 0x9c550600, 0xe8202929, 0xe4d9c0a7,
+    0xe54146d6, 0x1dae10fc, 0xdd124123, 0x72ad178f, 0xd222edbd, 0x94f8ee14, 0x9bd2b111, 0x4ff76dbd,
+    0xded28aa9, 0xb0d8bba0, 0x8893e7e5, 0x796eae4f, 0xd1b0c1d4, 0x3adcf62b, 0x5aed3d71, 0x584c9a4d,
+    0x48fefcce, 0x3798eee1, 0x73ce7875, 0x01d8cd48, 0x81e0ab15, 0x560bf5de, 0xf22791c5, 0x67a080c4,
+    0x24e25418, 0x5375a962, 0xbc464621, 0x47d24005, 0x77e595bc, 0xd108279e, 0xe126e6db, 0xe1a3e2aa,
+    0x196d7946, 0x58cc5e86, 0x45a9b076, 0xa7ea4c00, 0x89a9cee9, 0x07c12abb, 0xf4adfb6f, 0xaf27087e,
+    0xcc6d54ef, 0xa8a9ae1f, 0x575a924a, 0x8f8b1aca, 0xfae26522, 0xde93bb87, 0xdf822c17, 0x91cb288b,
+    0x79aece79, 0x0ebc00e6, 0xb7ca8479, 0x115f1c7d, 0xd79a4f2f, 0xe955d94c, 0x06bf6d16, 0x33b68ce7,
+    0x3ca90b95, 0x1784aa74, 0xef863b3f, 0x55c15481, 0xea7bc5f8, 0xf72e3fe5, 0x2be86327, 0x6315d90c,
+    0xd04b4b5d, 0xc2497042, 0xabfd70e0, 0x4a36a04c, 0x9083b46c, 0xfbd37f16, 0x878c27f1, 0x2f0291c6,
+    0x397cb267, 0xa98e4ca4, 0x3eed27e0, 0x7e4c14db, 0xe7c05e9a, 0xc3768059, 0xa349ffe6, 0x645855a8,
+    0x9a500ce0, 0x1213d6cd, 0xc3c6c117, 0x77ca2d78, 0xf7d25ae7, 0xa7ad6c2b, 0x9f67a900, 0xb7a63eae,
+    0x9af792d7, 0x0c763550, 0xd11ce204, 0xd0ff16c4, 0x70d55117, 0x75dfa6db, 0xc379198c, 0xbc9ac1b7,
+    0xfda78b1f, 0x9b1bdd93, 0x66883ff0, 0xc0afab31, 0xe0a83e81, 0xf7650ea8, 0x1666c14b, 0xc42f1dd3,
+    0x70d1b8c3, 0xd13c0d8b, 0x2181e2b2, 0xa4d98420, 0xfa4c8271, 0x54ca8264, 0x5decbf97, 0xa238fa5b,
+    0x9531582a, 0xaef34c6a, 0x60c59cc5, 0xfb6f7104, 0xff0de1dc, 0xe5d71fff, 0x682849bf, 0x71454ec3,
+    0xc988737d, 0x33753e57, 0x8cc8a1ac, 0x76110357, 0x317a9d80, 0x168df4fb, 0xd2076afd, 0x70aea130,
+    0x58bb5332, 0x62a201c1, 0x7bb30984, 0xe695d6cd, 0x93a86d16, 0xef83dea8, 0x583a3277, 0xf7a107f1,
+    0xa70cdf5d, 0x68db2384, 0xf9dc1b93, 0x81b94116, 0x618b40cb, 0x95e6e311, 0x9d09d7d6, 0x9dc548c0,
+    0xe771691a, 0xae2a0f93, 0x58f138c8, 0xde4b0280, 0x36860727, 0x9604f27f, 0x95b8c946, 0x88b1a582,
+    0xc8da259d, 0xb60c9225, 0xe7c806f3, 0xf6368ed1, 0xc09cd701, 0x252ec760, 0xf21aec2e, 0xd982aca8,
+    0xf35f4455, 0xc90787ce, 0x4d837105, 0x1dec5a17, 0x73cbdfb7, 0x75e6af74, 0x196d55d8, 0xc4f8997c,
+    0x9623d26f, 0xf2de22bf, 0x43d4660b, 0x9dc95f72, 0x276772f4, 0x1d483874, 0x0f8b061c, 0x6efa9c36,
+    0xf82ef8cd, 0x60e00174, 0x8f80cc8f, 0x023c04d6, 0x3ff9fea8, 0x0011f41f, 0xdeb9c8fc, 0x57707c13,
+    0x138c5c11, 0x8df05860, 0xdff6b5c7, 0x85382276, 0xe73bd515, 0xe34e4278, 0x76d8d33c, 0x628049f5,
+    0xfd08f293, 0x020407a1, 0x6f596da4, 0xd407be91, 0x60a37f88, 0x79d37951, 0x96590555, 0x2968ca85,
+    0xe32e8425, 0x8e7ce917, 0x20a34581, 0xab616fdf, 0x14d2c8de, 0x9dc9d2ee, 0xbc216b75, 0x6f001be3,
+    0x27ee3e6b, 0xdf06a142, 0x3653e039, 0x0acb3569, 0xae99e2d4, 0xcbe1c237, 0x90939199, 0x68c3cbff,
+    0xc784bb55, 0x13acc2f3, 0x90b6d221, 0x3e943cb3, 0x3f0697f9, 0x050f4efd, 0xb12b8cfb, 0xe51c0102,
+    0x1667c649, 0x77ca9774, 0x9584ddee, 0x4dc2f32e, 0xb21ca483, 0x810d8828, 0xc228a1a7, 0x58eda6f3,
+    0x6f164762, 0x5d3ee4b9, 0xda154bc5, 0x678b711b, 0xf445fe2e, 0xb3869464, 0xa14540e8, 0xc5ce0500,
+    0x189da29e, 0x17866aa4, 0x67e7f802, 0x05387cb2, 0xccf20ff8, 0x2384046f, 0xa590488d, 0x1dfa6ff0,
+    0xed98b11e, 0x0a49665e, 0x2eead0c1, 0xbaaa33cb, 0x87552b0b, 0xa16e74ee, 0xcb08c0cf, 0x7d8b71c5,
+    0x247387b2, 0x93c70bf7, 0x1048cddf, 0x3b1c1978, 0x8bfe3484, 0x2557313b, 0x5cab7946, 0x3bb93397,
+    0x1d33aed7, 0x4db485c0, 0xfdd7d7d7, 0xd78ae35a, 0x716ef14d, 0x726a9e55, 0xc28c5200, 0x565688d0,
+    0xb36dc883, 0xec8bfdcd, 0x1610792e, 0x1a619c3e, 0x8dfcbd60, 0xa29dd287, 0xbc57f5ed, 0xf8d3d9e1,
+    0xea5d14ab, 0xd5a3b9c6, 0x45b97fd7, 0x532cf84b, 0x8bc61574, 0x772ae598, 0xe1604f6d, 0xe47a694e,
+    0x25c0cf57, 0xce50c43e, 0xa974e551, 0xfd3b11b8, 0x88e814ab, 0xa4f0be2f, 0x42cbe760, 0xeb47f965,
+    0x6993ea7c, 0xc7a8c5cb, 0xc3c6f7ab, 0x09b0ddac, 0xf7891267, 0xae2540ef, 0x80321d92, 0x1b693320,
+    0x8a6eaa74, 0x4294070c, 0x22983676, 0xa66f92df, 0x927eaa2b, 0xd90f442d, 0xa9e40583, 0x2a46c307,
+    0x7538ffc6, 0xabc9e24b, 0x83aec1fe, 0xc12a797c, 0xc78d127d, 0x42ed8065, 0x36e918bb, 0xfa09237f,
+    0x98b1aa98, 0x76783f87, 0x73d04c59, 0x07620e33, 0x8a45518c, 0xcef088fe, 0xa82b4f70, 0x7b85fcd6,
+    0xd6cf9ea8, 0x90a2c3af, 0xfaf22d87, 0x31b9bab1, 0x6a9e1e52, 0x6598dd59, 0xa667fdc6, 0xe2e253e4,
+    0xa54a3876, 0x10d11161, 0xcc0e16c4, 0x37e777a2, 0x659338a9, 0x037475d1, 0xc08b93e8, 0xbea1fbe8,
+    0x850f347e, 0x0b292f1e, 0x038cbe83, 0x83ad8cd5, 0x270b1ee7, 0x43d68841, 0xe14d123d, 0x9c3d177d,
+    0xc5897d77, 0xc5d96d40, 0x50bf2f5c, 0xf7304922, 0x4e7e536e, 0x5eae2371, 0x65156ad6, 0xe62dc038,
+    0xc7629196, 0xc36a1b42, 0xe1a18bf2, 0x6fa168eb, 0xfef8dac8, 0x012b470c, 0xf5d07757, 0xcf1088ef,
+    0x193458b3, 0x47df8678, 0xbc8db260, 0xb9098078, 0x38b4b9cd, 0x2a89e57a, 0x6fd992ec, 0x5c367825,
+    0x7c962dbf, 0xa35a7c88, 0x1c30ffa4, 0x8d34c788, 0xad162ce9, 0x22d4f501, 0xb71fd227, 0x04d4e79c,
+    0x0b9016ea, 0x9761ec39, 0xd262e9f3, 0x0e05dffa, 0xd0c460fe, 0xf1efc533, 0xd33a52d4, 0x09ba569c,
+    0xb3048778, 0x3563a941, 0x24451d28, 0x1a3940b4, 0xe0421957, 0xd5e19e0c, 0x80099ad2, 0x1d8b2d13,
+    0x045b6779, 0x6b62504d, 0x2e295ce2, 0x232b4399, 0x41a057e2, 0xec918bb9, 0x65f8d216, 0x183efc82,
+    0x58590001, 0x5af66489, 0x44c80a75, 0x83071956, 0x1745630d, 0x09aca28e, 0x0c705dcc, 0x995a9b3d,
+    0xe9f32e71, 0x519cd6e1, 0x21d1fc74, 0x58006312, 0xceae9396, 0x46a10a0a, 0x69a5a849, 0x45b9ffe0,
+    0x5606bb14, 0x44745e96, 0x3ca74083, 0xc7a27a71, 0x320a808e, 0x82838011, 0x67490678, 0x4f5af2d3,
+    0x55560a24, 0x223af883, 0x971b7281, 0xd3590265, 0x55cd230f, 0xb42fb33f, 0xc3a2b32b, 0x86789573,
+    0x5abfb558, 0xa64620b6, 0x1c5e2205, 0x448ae871, 0x1913e6bc, 0x4e7d580e, 0x9079a3f7, 0xd4d463e3,
+    0x17914c6e, 0x6fc9da05, 0x0ab386b7, 0xe84cb9a7, 0x316fc2bc, 0x1a6f5d5b, 0xb01cb3db, 0xfe71d747,
+    0x00000000,
+    0xe2bf9249, 0x9e12f346, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000075557863725914323419136 */
+  { 0x00000000,
+    0x414858d5, 0x7439a5df, 0x6ca30acb, 0x5fc1cc72, 0x9c7e987d, 0x953076ba, 0x7fd606a1, 0x4207bdae,
+    0x62de9c34, 0xaa01194b, 0x7f8fc506, 0xdb63bd0e, 0xd61cf2fd, 0x69ed390d, 0x28dbc626, 0x9028fb0a,
+    0x3a5139f9, 0x565ff6e3, 0xaa5da886, 0x21885739, 0x96959d40, 0x31abf7f7, 0x85a7b72f, 0x4d864ea7,
+    0xea855e01, 0xb28dd463, 0x0a6a5d00, 0x01fca0c9, 0x3ae41809, 0xd1d116b4, 0xe1643eb1, 0x0490aa09,
+    0x53440a18, 0xc89cd58b, 0x420efbc2, 0xa47e7d9c, 0x1cc1e21d, 0x9ad6f7b7, 0xa5c96324, 0xaf96dd49,
+    0x1a19e712, 0x62abc5db, 0x74758b4a, 0x636d0eeb, 0x41f7ddc3, 0x9de88911, 0xabcbb135, 0xda4dcd77,
+    0x09c04464, 0x4155bc82, 0x5035e8c0, 0x6166a21a, 0xdd12f7fe, 0x012cd4e8, 0x7166dc5d, 0x09f6ba97,
+    0x27aa2dc4, 0x23acdbd5, 0xec7419e5, 0xe5966a9f, 0xc5cfe995, 0xf3f029ef, 0x98dd05b8, 0x238d7770,
+    0x87d326b1, 0x3a3fa9cc, 0x62f09b42, 0x3ea4f551, 0x9a8492ca, 0x7238599e, 0x6bc85b93, 0x1e9ffcc2,
+    0xaf7c1f90, 0x12d4e668, 0x8cb1297a, 0x4780e2b4, 0x8c62788b, 0x7364e264, 0x70c80ffb, 0x86c0dcc1,
+    0xa9f52771, 0x38011287, 0xc75320b3, 0xec804250, 0x8b6c5068, 0x78df399c, 0xede06c30, 0x250ae67b,
+    0x3a6171b7, 0x845ee1f7, 0x51bf9dcb, 0xe753e631, 0x5e0649f3, 0x1c6b8fc2, 0x6dfd1c0b, 0xe25e3562,
+    0x540060eb, 0x51eb8b97, 0xcdff7679, 0x4fd91f8a, 0xeaac22f0, 0xd9b666f8, 0xf7902771, 0xbca0b709,
+    0xb8c8dbe4, 0xe3185545, 0xdd5bc197, 0xa315fc88, 0xf7ec71f8, 0xba725443, 0x410d4521, 0x5f5012df,
+    0xfcb2e978, 0x94c6d117, 0x2939ec07, 0x92447f06, 0xa870806c, 0xdbb62a81, 0xd9eab474, 0x1d78997f,
+    0x27a3a89b, 0x81d1f342, 0x08fcf0db, 0x963d346e, 0x5a765f34, 0x051ac080, 0x81cab310, 0xa6ba9457,
+    0x15849249, 0x8ee391a6, 0xf8eff805, 0x29314b0d, 0x4cb1d351, 0x63635f3b, 0xc037e0e4, 0x983d4d7f,
+    0x0e1671bb, 0x06b40a3f, 0x75b72cb8, 0x7986688b, 0x8838e8c0, 0xcbc9a990, 0x5196c85a, 0xaa608430,
+    0x1ce857ba, 0x8a01ac38, 0x78184dcf, 0x028d9fd8, 0xc15a0907, 0x4d3bb4f6, 0x491e061e, 0x1321de52,
+    0xace287db, 0xca9a0ee1, 0x3bf4a432, 0x19886141, 0x7318880f, 0x82917750, 0x0cfddf40, 0xc92c60e0,
+    0x1637d36f, 0xc14f705d, 0x3999cef2, 0x4afb12d7, 0x3e19e51b, 0x6472a0e8, 0x82e06b1e, 0xd05d5be7,
+    0xf11b52cb, 0x1876344f, 0x2f02dc85, 0x173fcd09, 0x48d86656, 0xe61f96bb, 0x3bd4f690, 0x5c7f942f,
+    0x5f3f242f, 0x7cb4040a, 0x4f40e32a, 0x5fc909ff, 0xa5e773e1, 0x7ed5ad71, 0xa996aa0f, 0xe6bd91a4,
+    0x0da9556e, 0x3d89f774, 0x69acf878, 0x8013da6d, 0x1266f086, 0x5b6fa0b7, 0x3e06c48b, 0x08cc0281,
+    0x7ab0ef2b, 0xb431d41a, 0xed90c1b5, 0x05f453f7, 0xd244c531, 0xdb78fde4, 0x4a7a20a5, 0xe705897c,
+    0xb24740fd, 0xcb49844d, 0x207c4ce4, 0x4893a892, 0x6539db72, 0xef217efb, 0x3e6d20f0, 0x2058f783,
+    0x01d7c150, 0x3a538254, 0xbba35211, 0x0a06d45b, 0x49595474, 0x3ea22a7c, 0x9dc97430, 0xc8802214,
+    0x3d80a288, 0xc975009c, 0xe175c9c4, 0xabae9936, 0x1c4794d4, 0x2b093b12, 0x1fb87fc6, 0xd65e185d,
+    0x11d44fb7, 0xd72a2bdf, 0x76435469, 0x38ee8e32, 0x4e3125b4, 0xeb7f1e2d, 0x6f4e27f7, 0xb1043465,
+    0xf4d312b0, 0xf0f0e245, 0x120fe7a0, 0x0099a487, 0x7a75d86a, 0xc5b35adc, 0xd0f5cf10, 0x2904da03,
+    0x882a8c08, 0x5c3dce92, 0xbf032f0d, 0x02208e04, 0x569214a9, 0x2c610c0c, 0xafa5ea93, 0x3edd083f,
+    0x28f4a4c9, 0xc906e79c, 0xb45e01f3, 0x8fe4b433, 0x1cfaef40, 0xa57dcbfc, 0x29cfbcf6, 0x2c434ece,
+    0x313c56e3, 0xf9590d9c, 0xb594f220, 0xda4964f6, 0x9aa8c32b, 0x13852ef9, 0x435c6203, 0x4a69f39d,
+    0x80a4db83, 0xed4d2cec, 0xb2239236, 0xb45416c5, 0x80596e3e, 0x4a8c25b4, 0x3097ea68, 0x02770fb7,
+    0xb75dbc69, 0xcf17736c, 0x2c49766f, 0x2556623b, 0x1df43e8d, 0x72f6f35f, 0x5e5e3b69, 0x16e74ddc,
+    0x6fed873f, 0x63033166, 0x29461ca3, 0x84a2a8fd, 0x02fcb692, 0x17a9d791, 0x052cba76, 0xb2a1ea0b,
+    0x0dfdf239, 0x9b23d8c4, 0x89438fd8, 0xf4f082de, 0x8cf6d423, 0x66fa5f18, 0xa2c71f3e, 0xd726230c,
+    0xd191cea2, 0xac65623c, 0x9e3a65ca, 0x8dc73b20, 0x2d71108d, 0x3e8e3085, 0x55d195e2, 0x6fc25457,
+    0x1b08f647, 0x7965675c, 0x5df1dea1, 0x709a44bc, 0x7f3d768e, 0x36f185ca, 0xfd61da10, 0xffb64fc0,
+    0x9379c304, 0xe479066c, 0x0febc612, 0xc6d3b115, 0xafcfe559, 0x1438a1c3, 0x0515d8ac, 0xfde1b7b1,
+    0x6194d5e9, 0xb42af68d, 0x7be3bf18, 0xc944dda5, 0x38dc2ccb, 0x8f1b07d0, 0x5fd87ddf, 0x8bc32936,
+    0x19360231, 0x94997eaa, 0xae5a83a0, 0x8d35bb7d, 0xc273f05a, 0x2e464750, 0x76746345, 0x0b63d7e0,
+    0x380029b7, 0x2d21d929, 0x54282818, 0xcd0f12d8, 0x607a8bfa, 0x9da1b785, 0x1d4f62cd, 0x80509a25,
+    0xd2d22b00, 0x1ebf6daf, 0xf4d12f3c, 0x8d9ffccd, 0x73e70d6b, 0x6a55fa8f, 0x0249bb56, 0xb56173cb,
+    0xd6a0ad23, 0xa94ce07b, 0x80bb22d3, 0xa2867fed, 0xf00338d7, 0x4b8c8e36, 0x9cba86de, 0x74a0422e,
+    0xc0a292d7, 0xee5241d2, 0xfec00537, 0x5908bb32, 0x41fdb1e4, 0x0bd63a50, 0xd5b31455, 0x974bede3,
+    0x54b81304, 0xae1269ff, 0xf22b0889, 0x23967a97, 0x1c8cce95, 0xcb5f8acf, 0xb55cd808, 0xad8c997d,
+    0x0a4368d3, 0x63345cd6, 0xc0a694b5, 0xe1ed03b2, 0x59846c25, 0x1bca1646, 0xb9389619, 0x7c0ae669,
+    0x14ed6bc9, 0x7bb3c367, 0x2bd2a622, 0xc278c539, 0x4a6b30dd, 0xec3b7737, 0x79b53bca, 0x9b2dcbd4,
+    0xec71bded, 0xe7b0d47a, 0xb585c0d6, 0x5ec0cdc9, 0xae6d9b4f, 0x5a193915, 0xff4d96a1, 0xc60105f7,
+    0x19fdb8ad, 0x891d87e6, 0xf38f9d55, 0xaee600c8, 0x953fc496, 0x75ca5282, 0x77ab97ca, 0x1e473dbd,
+    0xe3475228, 0x11fe2917, 0x314c0b9f, 0x2e7f7e75, 0x01bdd1a8, 0x73b420da, 0x3ccbe1f2, 0x12f40cb4,
+    0x80f9d1a1, 0x094d5de3, 0xc0ad7e8e, 0x08316201, 0x1d993d17, 0x04299a2b, 0x085d26ea, 0xc9aa5a01,
+    0x3466e6ce, 0xd3a993d3, 0x8c14a0ef, 0xe11fe6d7, 0x46f62fee, 0x18e5e447, 0x149869ec, 0xc0f499dd,
+    0xa411a220, 0x35ae9beb, 0xdb9b9052, 0x4eb21ef8, 0x478fd236, 0x36e0330f, 0x4fcbc3f4, 0x497f2df8,
+    0x171343d6, 0xf5006c53, 0x1e927c79, 0x168cef33, 0xbe68f368, 0x24b05149, 0xab3eeb27, 0x61877443,
+    0xf3953933, 0xbf18907c, 0x2fe88667, 0x8243196e, 0xe49310f5, 0x12705d2a, 0x71d65256, 0xa9aee14c,
+    0xd10405dd, 0x02ab4329, 0xe61b868d, 0xec0f0288, 0x2ddb1092, 0x9e91ef8f, 0xf833d404, 0x05b81bdb,
+    0x309ee0fc, 0x6b746538, 0xa1973035, 0xa5f8644e, 0x4346b5e8, 0xeddcd148, 0x3f7a6ba3, 0x11d4ebde,
+    0xcfdda490, 0x32c47532, 0x9b103203, 0xabf1197b, 0xdc348d57, 0x561c0135, 0x7dffba75, 0xf66f2c38,
+    0xf4305e30, 0xec200a51, 0x87ed753b, 0xd151c1dd, 0x12e5b101, 0x5bb59a2f, 0xc16e1c67, 0x807b55f1,
+    0x0b1f470d, 0x05f36fa7, 0xe7d69a20, 0x9d24c3ca, 0x308019c5, 0xb91e7bb6, 0xa2cb1f90, 0x197c930b,
+    0x609e847b, 0xd4af3f5a, 0x48917edd, 0x668a5567, 0xa1d965b9, 0x37153206, 0xb504c24f, 0x56d41d7c,
+    0x37f8e1bd, 0x0c3aa9a5, 0xc8096d2f, 0x4cc99979, 0xf733faf5, 0xb2b0f679, 0x80a40cf0, 0xf26935aa,
+    0xc9104c2a, 0x20da8920, 0x744cb64c, 0x3a968159, 0xd166d0a9, 0xc4b9f030, 0x4dbe7b17, 0xc07dbd0e,
+    0x6405b42a, 0x67113fb7, 0x8b0a3e51, 0xa60d4363, 0xf7d90706, 0xf277e29a, 0xedd2cf2c, 0xfa25011d,
+    0xfbd695ca, 0xac4d4db2, 0x31cf147e, 0xd2de1954, 0x58b463e5, 0x0ea6f08d, 0x69f7d02a, 0xe91979a8,
+    0x1a8c4600, 0xac70de16, 0x2506e372, 0x9c7f9e7e, 0x7cc19f5f, 0x6f4a13f4, 0x9d9917ce, 0x2b92096e,
+    0x88d7e033, 0x625f38ac, 0xbe60b68a, 0x6a701c15, 0xbe205768, 0xaa90ace8, 0x56c5b39b, 0x8edf0ebe,
+    0x787531ea, 0x0f299a93, 0xf2609cce, 0xe165c03c, 0x435c9b03, 0x805a814d, 0x790feea6, 0xd9669047,
+    0xb458907a, 0x8da516a9, 0x6e20f407, 0x576f4d06, 0xc9cf75e9, 0x0ba1bd9e, 0x55d20042, 0xcc95bf8e,
+    0x83f49976, 0xebb199d6, 0x0f5ecf7e, 0xbc6759c3, 0xd10195e0, 0x97cf89c3, 0x0a3f58ab, 0xebe35b94,
+    0xd3b7df9d, 0x496154cf, 0xa911f29a, 0x44cf778f, 0x9ecd8a2c, 0x17d43a09, 0x5459e627, 0x97dd2a65,
+    0xe22d8ad8, 0x8cbf31a2, 0xce7d27ee, 0x93173e50, 0xdc49a557, 0x464e5b2d, 0xfc2bdec5, 0x0a42f0db,
+    0xb6b8ac88, 0xb7cf2f0d, 0x2d1c7f20, 0x94fe1924, 0x8516e4bd, 0xbe5f91a1, 0x2740e0e7, 0x2f824015,
+    0xe1e5e4b2, 0x9108cfd8, 0x88b1001e, 0x86dbaf2d, 0x6cb4d514, 0xa544fcae, 0xc04aa281, 0x6725349c,
+    0xb35813c2, 0x116e48c6, 0x7dbee9f2, 0x08bd0588, 0xa0260ede, 0x752969a1, 0x671b56ee, 0xa0fc5f77,
+    0x19a15755, 0x52282017, 0x48fd6474, 0x6dfa88ff, 0x7e13fd5f, 0x049ee2f6, 0x03b8c4d2, 0x657d2821,
+    0x5e5f8f7b, 0x7b3373bf, 0x00db29d0, 0x51be435e, 0x386ffa95, 0xee40bb18, 0x1c22c39e, 0x51101105,
+    0xffd5828a, 0xea626328, 0xa93da2eb, 0x713a331e, 0x56fb71ce, 0xaae8b0fb, 0x3f3b4b6a, 0x6ffc89e7,
+    0x37bdc078, 0xc839abb8, 0xa0793650, 0x031b4a20, 0x8e697abd, 0x5a0eea3f, 0x08a3ae63, 0xa4ab4893,
+    0x045cb6df, 0xdadfde28, 0x6327f862, 0x28c5f3da, 0x9fbd3096, 0xd54cff70, 0xca230aab, 0x6b1712b2,
+    0xb4e77309, 0xff2ca223, 0x24a14f93, 0x74a39144, 0x833caac0, 0xe2239034, 0x214d55f4, 0xed78585f,
+    0x7f98be58, 0xe6434f7b, 0x94271d72, 0x1b59bf32, 0x423b316a, 0x38cead17, 0xe1eef31b, 0x6921cc61,
+    0x14ad4a3c, 0x39ede6ac, 0x1bc98cb3, 0x700caea8, 0x3a92b2e6, 0x28c4ce82, 0x95b5c9f0, 0x721e6bda,
+    0x08a8a42a, 0x2bb19dc0, 0xc7118b6a, 0x41521396, 0xce0a850b, 0x317c0857, 0xdaad02cd, 0xd2032893,
+    0xaf3c0d9f, 0x07466f64, 0x80915ac4, 0x8e5e275d, 0xeb580afe, 0x5f40d839, 0xd203f8c1, 0x8ae1df03,
+    0xcb8885ac, 0xd2e6d65c, 0x50452daf, 0x69b0aff9, 0x40e2a49d, 0x41cf0a56, 0xdab376fe, 0xb9db1546,
+    0x41cf5b29, 0xacd1ea59, 0x56901a8f, 0x890054b2, 0x7c041fe3, 0x2470459f, 0x057572de, 0xc68a2f22,
+    0xf8221060, 0xb3d8c0af, 0xaea8e8c1, 0x31795c92, 0x6f64325c, 0xdfa475f8, 0x82363ca7, 0x3f282c86,
+    0xb98c118e, 0xdabddd72, 0x4a26434e, 0xc7b245ea, 0x09ce3411, 0x3bc3a16c, 0x1246baad, 0xdfde285c,
+    0xad1daa98, 0x7e121fc6, 0xfcb8c277, 0x345d90d2, 0xb59c14b1, 0x7858126b, 0xbd99100b, 0xbf5670e8,
+    0x89f614f5, 0x4d228ed7, 0x93987ae3, 0x1f4a56f3, 0x82bd4535, 0xce87d92b, 0xc86cc706, 0xcdec4bcc,
+    0x48b4f40f, 0x8c30c682, 0x48dde30b, 0xeb49a4e3, 0xa252fb9f, 0x181a3e55, 0x492533bf, 0x700ed78a,
+    0xd8f7eef4, 0x7b695c29, 0xcf930b31, 0xa647bd93, 0xb73dbf6f, 0x9ef5ee1c, 0x3254a715, 0x15c1e38b,
+    0xff5674f9, 0xf855cb3c, 0x8ba4a958, 0xb36da9a2, 0x07f28886, 0xfc76c622, 0xd44cc04c, 0xd3f11db8,
+    0xf7019f58, 0x50607fd7, 0xab75aa33, 0x2a76ac4e, 0x1eafe52b, 0x6d00c55a, 0x02f498ba, 0xb2f45f77,
+    0x1dbc28ab, 0x67490c48, 0xb1f02cdf, 0x8b466bfe, 0x328f99ba, 0x79541dab, 0xf4659f5c, 0xb5e710e3,
+    0x38e9829c, 0x94d0a0be, 0x9f83005e, 0x6f423383, 0x5487be24, 0x45b99315, 0xe2e5f735, 0xd1edfc4b,
+    0xb971ff12, 0x6ac908fa, 0x1aaf2054, 0xf8fb41bb, 0xaab572e2, 0x89d1c53c, 0x12db711e, 0xc1f35513,
+    0x3c8194f2, 0x9998cb84, 0xa912c946, 0xe293a81b, 0x49964847, 0x3606fb12, 0x4814a55b, 0x8d1a5604,
+    0xf4e4d3cc, 0x1108a483, 0xef97cece, 0x8f89de28, 0x5dd42ead, 0x743ac29a, 0x06aec465, 0x77034d97,
+    0x239dd372, 0xa03ddd91, 0x525a7928, 0x7483255a, 0x80ca7686, 0xcdbd43f0, 0xdfd6a7db, 0x120e2054,
+    0x267bc15c, 0xff319adf, 0x97e958a4, 0x8b3567dc, 0x7c58a484, 0xd5d985d0, 0x9631df0b, 0x034eb141,
+    0xef340e32, 0x5fca8726, 0x0fbcb054, 0x93100f52, 0xab3a7557, 0x154b971e, 0x1d5dc2ed, 0xc506d3fc,
+    0x0133bb1c, 0x3dec993d, 0x455342e4, 0x5b64dc8a, 0x583e73cc, 0x9bda117b, 0x952a5ae1, 0x516a5f35,
+    0x04374499, 0x82071ffb, 0xff6e39f3, 0x76592d89, 0xf390e33e, 0x6986a802, 0x8c818249, 0x0e3074d5,
+    0xa083164f, 0x90d233f7, 0xe20eb6d8, 0x04f4fb90, 0x275b07c3, 0x1860f964, 0xaab27a07, 0x13bde943,
+    0x389b9206, 0x6a1587a2, 0x2b2761e6, 0xb48ccee4, 0x77404e1d, 0xacccba0e, 0x6857d93b, 0xb2b497b5,
+    0x27d1cb55, 0x6ec67d3f, 0x271d7094, 0x82af2eed, 0xf2cf1d21, 0xc890d6df, 0x78823556, 0x7b67fd98,
+    0x19390f38, 0xa867559a, 0x3dad05d3, 0x45eeaa05, 0x2d3a7db7, 0x15c943e1, 0x9f7bf485, 0x674bc109,
+    0x045b7dc3, 0xe3aea1c0, 0x4bde44b5, 0x0233dcae, 0x1df2f6b5, 0x658b43e9, 0xbbbcc5af, 0x0e34cef0,
+    0xe3970320, 0x1a845b21, 0x4ff8e63d, 0x1c19a19f, 0x09fefffe, 0x808f66ac, 0xf5a156bc, 0x80a367fd,
+    0x358157fe, 0x8961747a, 0xc8fb52a0, 0x3681dcd2, 0x34fca682, 0x43e51bdf, 0xd0f9eeb2, 0x15a5b328,
+    0x8e2d6dd9, 0x6a9f3b88, 0xd623932c, 0x16b595ab, 0xdcc92678, 0xd838b180, 0x8cf6b0e6, 0x3acb00ec,
+    0x79430b92, 0xbadeeda7, 0x5618450a, 0xe8966276, 0xbbc1d81f, 0xf41d9b60, 0xb3761db7, 0x502948cf,
+    0x682c05e0, 0x94ee2d66, 0x7443100e, 0x6fa8bf86, 0x750e50e6, 0x7e18bbcc, 0x06d9cb2c, 0xaf14c1d6,
+    0x8e3874a1, 0xffa16429, 0xa7b45505, 0xa93a3d1c, 0x8fbcd090, 0x90121e9d, 0xb4740d0c, 0x5eef110b,
+    0x6eebe4af, 0x076c27a3, 0x5a67c380, 0xa844568d, 0xdef2d089, 0x5bf4e112, 0x7127d29e, 0xfc8db3ee,
+    0xaac55ebd, 0xb59e0d27, 0x6edff0b1, 0x1923603a, 0x96be6ae2, 0xf82c3a88, 0xf7ea5a95, 0x25a26c8b,
+    0xf4dfda71, 0x2e45795b, 0x14a0dcbc, 0x50dd1bb9, 0x545c23fb, 0x9a250c5e, 0x3fff4881, 0x2186a49f,
+    0x5479e0f4, 0xf090f6bf, 0x7cc4ef49, 0xd2f062be, 0x3d5fbc06, 0x28ba35ed, 0xe7e2f6cc, 0x16aa4655,
+    0x3eda329a, 0x1da754ca, 0xc4c984d0, 0x48b928bb, 0x49a09a55, 0x6ac40cae, 0x0d980276, 0x3fafbbaa,
+    0x54aa294d, 0x729c98c4, 0x8ed72605, 0xcb13abb0, 0x6b97d609, 0x8e88fde6, 0x2c4edde9, 0x966d3b89,
+    0x27b0d496, 0x38e5e001, 0x298b675e, 0xd17ccf91, 0x821cdc60, 0xa16cb1a0, 0xc9d36b14, 0x8aba343c,
+    0x4b73d03a, 0x0da67f67, 0x439ebed8, 0x293b18fc, 0x0c6265bc, 0x6edb3ec3, 0x62513322, 0xb477f70e,
+    0x00000000,
+    0x715fc924, 0x4f0979a3, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000037778931862957161709568 */
+  { 0x00000000,
+    0x5ff035b3, 0x5ac85754, 0x4ba9b445, 0xf7cae174, 0x4785dbea, 0x3d67efb0, 0x7b192b37, 0x1f9e874d,
+    0x684c8049, 0x1af5f240, 0xfcc98e8d, 0xdf7f5883, 0xc565c4f7, 0xc4104d8f, 0xf97878a6, 0x150761da,
+    0x2c1f25f1, 0xf651d687, 0x3ab2051d, 0xf5e25029, 0xf313f747, 0x605c054a, 0xccab78c6, 0xf8b75c07,
+    0x87ece48e, 0x7505e3e7, 0xd651bb08, 0xe65c1fff, 0x57bb9701, 0x05e3cac5, 0x89264f9e, 0xd7606740,
+    0xe67f185b, 0x348c6730, 0x1a7bac5c, 0x17ce1010, 0x3fe19018, 0x209df2f7, 0x7231253c, 0x39464a9e,
+    0x2b85de3f, 0x21fc4c95, 0x5fb9723c, 0x6d725b92, 0xaedb9e10, 0xa103ba27, 0x3d4cc46b, 0xcf57d514,
+    0xf775f82d, 0x856a58b2, 0x16789198, 0x7fb5b713, 0x19961f3c, 0xc755feb8, 0xfdbcd251, 0xb7e0e324,
+    0xf63c1e4d, 0x11034bff, 0xecab965c, 0xc21d3979, 0x86747d68, 0x498bae3e, 0xf37e02b3, 0x989099d2,
+    0x5eb5998c, 0x68c4bdea, 0x69589829, 0x75f9b951, 0x601b406c, 0x913266c4, 0x62438b5e, 0x0c272a9e,
+    0xbdb453ad, 0x9a0ad353, 0x2176ae56, 0xcc6a221d, 0x6ee340d6, 0x4addc2cb, 0xa4658be3, 0xb4a6a2b8,
+    0xed77c5e5, 0xd6f4af03, 0x462816a6, 0xaab78409, 0x735598ee, 0x9b793d80, 0x26234e39, 0xcbaaeedb,
+    0xca8bcd08, 0xb9e56cf8, 0x15b10f79, 0xb94b0ef8, 0x44d956b9, 0x082643eb, 0x759cacfd, 0x47353812,
+    0x5beba4ad, 0x1f56ddda, 0x3ff8dd19, 0x151ad59e, 0x80ce006c, 0x1a855492, 0x59917ce4, 0xd102d544,
+    0x3ce5826d, 0x4b5a2bb1, 0xc946df6d, 0xd8999d1e, 0x40486a56, 0x41a90df8, 0xf98773d9, 0xc0380ac4,
+    0x53344bb2, 0xe1d1d547, 0xb3ef98e9, 0xc0095779, 0x5be47c7b, 0xa03e656e, 0x5caee22e, 0x459f8f47,
+    0xb5e226fe, 0x7f87099d, 0xceefb5b3, 0xbfe7e1e4, 0xc4626720, 0x4a4806d1, 0x76bcb02b, 0xd6c09fdc,
+    0xf3f58cf5, 0x40ecc98b, 0x9c389f13, 0x4c78ff70, 0xdbdd7b6b, 0x780afe27, 0x427e426c, 0x3bd52d9e,
+    0xbc956981, 0x881cf561, 0x7141b7c9, 0x8aeb269f, 0x7838e36c, 0x57ef3c18, 0xe28977ed, 0xd9490f17,
+    0x8e51c88e, 0x351de97d, 0xb218e563, 0x71ccc930, 0x1bb01e9d, 0x8c22b6d2, 0xd6e34831, 0x53e427a9,
+    0x5122f9b7, 0xc114d2ab, 0xb07da3ea, 0xa7b98d84, 0xcb8132ef, 0xba88ccee, 0x3d678214, 0xf2fa173f,
+    0x508b5928, 0xdd091e89, 0xe0507a21, 0x0bb5e418, 0xff7ae5a3, 0x4793de12, 0x2f38e13d, 0x5be255fc,
+    0x347810a1, 0x75ad220c, 0x7579bf57, 0x9d5e5088, 0xae63210d, 0xc75419e0, 0x5dd45487, 0x706795cc,
+    0x729c26df, 0xfc80edb7, 0x6849d347, 0xad1dbf94, 0x0d6fe882, 0xb9b882bc, 0x7aca453b, 0xc3b28395,
+    0x1b214c07, 0xcb3a6ba4, 0xefe501c0, 0x04e397e5, 0xac6061a9, 0xa658b756, 0x9de2be79, 0x0ee9152a,
+    0x2cab5a3c, 0x7497a280, 0x022b3148, 0x7e9c8981, 0xa67ec90b, 0xac04f3b2, 0xa1e8835a, 0x8cdee49f,
+    0x6d65f4a1, 0x67a75a9d, 0x0abc8533, 0xac35e98d, 0x2dbb42c9, 0xccba904f, 0x104e75f8, 0xcb9cfdc7,
+    0x9ba142da, 0xbcd91278, 0xb5c99f60, 0x24b635af, 0x488942d5, 0x358fbfd7, 0xe5c79cf1, 0xceaeefca,
+    0x8a2fa08c, 0x281785f9, 0x0079c5a9, 0xdaae5d76, 0xf4ee6b6c, 0x839c8326, 0x66829e33, 0x1f28e389,
+    0xda2c2429, 0xfadb2146, 0xa873e0aa, 0x6f12abb3, 0xdabf4559, 0xdaa0d7b0, 0xb842bd6c, 0x3876193f,
+    0xc38a8528, 0x4e025a0d, 0x08aa26db, 0x6f0a38fa, 0x16cd0667, 0x2f4d3fbd, 0x8504bf6f, 0x6c6b60f4,
+    0x16016925, 0xce5ebd3e, 0x7ebfac05, 0x059dad6e, 0xbe9787b0, 0x474600c2, 0xa0ecbb38, 0xf1fcdf9b,
+    0x98016f7f, 0x047ed2b2, 0xccf1b376, 0x1b91d17e, 0x785a35aa, 0x9e49fe37, 0x4c724696, 0x4d012cd6,
+    0x7a4a039d, 0xd1e6f9e9, 0xad233002, 0x21405ca5, 0xd660f0a8, 0x41fee16d, 0xf5a4b6eb, 0x5afd3dec,
+    0x430307d1, 0x97cd276d, 0x479c5f41, 0x11f8b0b5, 0xaedf9468, 0x1fabace5, 0x2edb0326, 0x078b02bc,
+    0x3783d635, 0x91b6e125, 0x97a5b870, 0x785810e0, 0x1890c2fc, 0xb3480f39, 0x1ec3658e, 0xdc123854,
+    0x8a5dfbf5, 0xa8407ade, 0xbdd93d2d, 0xc1ca6c78, 0x1a322ac6, 0x9bda8263, 0x73ddcb5a, 0x263dc10c,
+    0xe5833f80, 0x4882782f, 0xa006a53c, 0x7edbae50, 0x5a9e767c, 0xdf58ce75, 0x582cd053, 0xf2fb086c,
+    0x4de2e612, 0x97cf5434, 0xf2e92db0, 0x32eacc94, 0x8444972e, 0x041200a6, 0x2e4dd685, 0xa3675dfb,
+    0xa7b8a12b, 0x1937d310, 0x505e0885, 0xf8fff044, 0x628e6d5b, 0x3d747158, 0xf79a9d77, 0xfe37c175,
+    0x4e19cda8, 0xc0f9e194, 0x0763bdbe, 0x29ed418f, 0x2e344e0c, 0xa40e8389, 0x7ff0b052, 0xf5d76b3c,
+    0xbb3ca799, 0x615a3bba, 0x87af5819, 0x94f9aa50, 0x1f341b35, 0x1ac7e527, 0xc500d7f2, 0x495f4f50,
+    0x4e617160, 0x8e692a7d, 0x269c41dd, 0x587dfb02, 0x58c6c5b7, 0x14c0577e, 0x6bc77fec, 0xc3829015,
+    0xf6c7ef5b, 0x3f4903b0, 0xb92b8625, 0x959c47c1, 0xa908fee4, 0x9a4f04de, 0xc0c3c7e0, 0x0ea9bac4,
+    0x7b76605d, 0x88111158, 0xc18609bf, 0x5f4cbbfb, 0x8efab2bd, 0xc6a21df6, 0x5cf406c0, 0xa10d3dd7,
+    0x6dc2a5e0, 0x79d3724c, 0xc4def7fa, 0xc1fc6e63, 0x400560ea, 0x24a71b00, 0xc7005ab4, 0x11969de0,
+    0x8c5a563e, 0xd7b4db92, 0x7fc4f299, 0xfe4940c8, 0x7543e601, 0x2fe24d16, 0xa6d188db, 0xbe769e8d,
+    0xad753ee5, 0x41118e18, 0xd89dc13b, 0x58d36f4c, 0x3372413e, 0xd04fa54b, 0x2566879e, 0x09603d12,
+    0x15cf658a, 0xea414054, 0x6c9fc7f7, 0x6b8c5c19, 0x151f84c8, 0x2ee17c2c, 0x9b6feec6, 0x230cc0ce,
+    0x89b5e064, 0x2b802076, 0x51ac3a12, 0xe5454b54, 0x3299dfb7, 0x245c820e, 0x31e5e6b7, 0x5a896d82,
+    0xaf3095fd, 0x789189c9, 0x1a7068c0, 0x548a7e31, 0x993340a8, 0x8b00acce, 0x94f611c4, 0xc98c0ddf,
+    0x5e6ccecc, 0x3817cdf7, 0x90e983f1, 0xc6f4d31d, 0xbcbcdb3e, 0x5865d8a7, 0x065e5de6, 0x3a89262f,
+    0xada5947c, 0xf780cd24, 0x95c8b8d4, 0x803b98a4, 0x7d4948b1, 0x71b2779a, 0x2441ac83, 0xd238e89f,
+    0xf467a11a, 0x5bff7210, 0x370df0a1, 0x351cbec4, 0x7ae61b37, 0x05083c39, 0x8d57e699, 0x3aac66b3,
+    0xd41a351e, 0x078c4b78, 0xe5673deb, 0xe5d4579a, 0x8cc4290d, 0xb76c5871, 0xc586e99b, 0x82706714,
+    0x1845170c, 0x4ef7205b, 0xdb3a2668, 0x68e4bed4, 0xdacacc78, 0x42694eb0, 0xd4add928, 0x7617aa01,
+    0xaab61b69, 0xa785f448, 0x2863b11a, 0xdef9905b, 0xf0e3d387, 0x3f3fed12, 0xb06027f9, 0xa989dd17,
+    0x20348fb5, 0xbe53ddf0, 0x4ed5714f, 0x2cf6e62c, 0xf4ed1d32, 0x43c2503a, 0x60111cab, 0xb4344c05,
+    0x92af1b45, 0x0eebcacd, 0x96571827, 0xd7e70461, 0x0d662dbd, 0xab54163b, 0xb1ea622a, 0x143a81a9,
+    0xba13cdb7, 0x3d07a3e9, 0xaec785c7, 0x3c6928ab, 0x578322b5, 0x432ec076, 0x1beffd50, 0x1bf1a238,
+    0x2706a714, 0x84fd5edb, 0x7ce03dd3, 0x9c655806, 0x5dcc1011, 0x3b7109c3, 0xcd0d0dfb, 0x7f16820f,
+    0x0223bb79, 0x196b9550, 0x09e7d4c3, 0x01db9f29, 0x7bcc568f, 0x1570326d, 0xb6533d07, 0xa00013dc,
+    0xf0b55848, 0x22332067, 0x144e1528, 0x46e05152, 0xcfcc17d9, 0x003a59f8, 0x393f37e4, 0xbeec139f,
+    0x1f11851d, 0xbff4f502, 0x6902155d, 0x8a211fa6, 0x736b47b0, 0x5cf1dcf1, 0xa070af6d, 0xf4de1b6f,
+    0xcb33000f, 0xc9fd83f9, 0x61820650, 0x916615e7, 0x7523baaf, 0x78f814ea, 0x4bab3299, 0xb4440534,
+    0xbfc26301, 0x6d72fa30, 0xb06646ca, 0x357928eb, 0xca99300e, 0xe07ff19e, 0xd28b0099, 0x2493b121,
+    0x7b8e4a0b, 0x959df2bd, 0x7a0c03cb, 0x23962639, 0x76a4c02b, 0x74413a7b, 0xbeaa35f5, 0x820af707,
+    0xaae5ef02, 0xfcc45ecd, 0x241462ba, 0x9122eb93, 0xa923697b, 0xb00652b0, 0xe840e4bd, 0x134d19dc,
+    0x5856b45b, 0x93ad9480, 0xee71e272, 0xbbdeda56, 0x84d5b4cc, 0xdda04b15, 0xf480038b, 0x1826d441,
+    0x7e6f18b4, 0x168184bb, 0x6ca653d6, 0x03323f70, 0x0707cb34, 0xb3afe96e, 0x30c88425, 0x64283e62,
+    0x29bb80fe, 0x0a77d3f8, 0xa718cb34, 0xcf4b6973, 0xb22c7de1, 0x6ee8c73f, 0xefbc8237, 0x2d8df80a,
+    0x39a9b89f, 0xf1482821, 0xbdc3f85d, 0xa51b1c51, 0x636b6787, 0x7172a633, 0x26318f7d, 0x4695d632,
+    0x7ab6dfcf, 0xbb080cdb, 0xee45baa2, 0xd266208a, 0x4520e6c1, 0xe2410d1a, 0x6236176f, 0xa599605f,
+    0x9d123c40, 0xe1417d30, 0x2feaf62d, 0x9729a4de, 0x11d251ba, 0x3468d06e, 0x86f2b5f0, 0x707d20a6,
+    0xc282fdba, 0xfe7a2ada, 0x889866aa, 0xbdba92a0, 0x0ebf9a14, 0x9b1f9aed, 0x0821bfb2, 0xa4f550bb,
+    0xcc279813, 0x6923ebd0, 0xb22f6df4, 0xe130fbdf, 0x85dec6d1, 0x63c69263, 0x6465538f, 0xa010a7a2,
+    0xd3d5a3a4, 0x01565f9e, 0xbec6c17c, 0x10826ab8, 0xb0005c1d, 0x019a99fe, 0xdf8068b9, 0x598bd04f,
+    0xdfcbbea5, 0xaf8570bb, 0x6ae3d45b, 0x97501769, 0x4e1cc362, 0x58ad2ba1, 0xa6efd568, 0xd46aac27,
+    0x895191ec, 0x63b65963, 0x1b5894d5, 0x70a7bd23, 0x922ae58f, 0x2d3638bf, 0xb292851f, 0x97040b65,
+    0x33f7d02d, 0x5ff7f30a, 0x3f821528, 0x40be0b45, 0x49ce5e1d, 0xe820eab5, 0xc3a08e08, 0x84fb8341,
+    0x2f2e7c1e, 0xeeba5664, 0x911d94bd, 0x6e7f47c4, 0xae45dc4a, 0xf37fb6e8, 0x92076e64, 0x1265fbae,
+    0x239e1393, 0x83a58a9a, 0x38a3615b, 0x224a98ef, 0xb617183f, 0xa4090ea9, 0xe6292d4f, 0xe1f3c106,
+    0xb4cecb81, 0x3f53510e, 0x3d06caa6, 0x4a9b0655, 0xb01a80db, 0x2024e233, 0xdb613b0b, 0x3913b6a4,
+    0x3867387a, 0xbd5edf3f, 0x3a078755, 0x59e46167, 0x891d030d, 0x92704335, 0xe0856271, 0x8d7706bb,
+    0x006b1aed, 0xb34e1a52, 0xc508a49f, 0xc614c39b, 0x04266c7e, 0x61d6afdf, 0x5019d26b, 0xf76b8ed9,
+    0x5db14016, 0x2f84c856, 0x3e2e6e88, 0x3caadb03, 0x93227c66, 0xe2b075c3, 0x41347d82, 0x372d2f6b,
+    0xaca99a24, 0x8d066b87, 0x669a211c, 0x3553b3a1, 0x63cd6f71, 0x113600d8, 0x3329bdff, 0xe7a9b897,
+    0xcf3e17bb, 0x887a1477, 0xec70de96, 0xe8f9c4fd, 0x10affcfc, 0xb468294a, 0x486c53f3, 0xff8e0d02,
+    0xadacf2a3, 0xd7a57e7e, 0x6a1e201b, 0x7071fce7, 0x1f2b8d07, 0x98655c17, 0x471990fe, 0xcc4127d7,
+    0xed4b6444, 0x4fb8a1f1, 0xfd20c9d6, 0x477efab0, 0x942cbfdd, 0xab31ba0e, 0xe32a7f5e, 0x076d396f,
+    0x7e774b88, 0xf4043d5c, 0x479df41c, 0xa9c599c5, 0x06ca3ca5, 0x5db0daae, 0x10538bed, 0x6732dbd2,
+    0xc88d5213, 0x95f29a99, 0xc32b24fa, 0xc8a797ac, 0x879c4559, 0x59fd91d8, 0xadbc089b, 0x903430b1,
+    0xefb2e753, 0x049d9f01, 0xea1308f8, 0x55e89be1, 0xf81d9298, 0xb33266c9, 0xa7f1ad72, 0x953680b0,
+    0x425d9691, 0x5873c0ef, 0xaaa9cf5f, 0x4f99dc2a, 0x5225c23a, 0x4de93346, 0x0569afc0, 0x749f7d2e,
+    0x5b404ec3, 0x8a74cdac, 0xf756ccdb, 0x59ba6baf, 0xa298a099, 0x256f7b8e, 0x0018ceaa, 0x1462ae91,
+    0x061e8c7f, 0x685abb48, 0xfbff0e45, 0x517ce29b, 0xdb9e8e07, 0x6054839f, 0x05ebebde, 0x7899e0f6,
+    0xb39a2736, 0x6bd216eb, 0x134e11cf, 0x42c709ed, 0xec39b4d5, 0xeda987fb, 0x22149828, 0x02767bb4,
+    0x580f1ba1, 0xbb928d95, 0xbf3d8d2f, 0x24962837, 0x0d54c4ee, 0xf6187469, 0x480ec5af, 0x3a9dc88a,
+    0xfe98026e, 0xe3c26979, 0x4305c4ce, 0xb33fd80f, 0xe2f8cc6d, 0xe3224826, 0x7fdfbc47, 0x9d4706c9,
+    0xfe82a170, 0xd020fd94, 0x31a4531b, 0xd6f0b2e4, 0x9a80c1bc, 0xefe2024e, 0x435a9507, 0x41a04588,
+    0x3d961ebc, 0x2e2f69dc, 0xe52460df, 0x359a427d, 0x3670b7b2, 0x8bc4fa6d, 0x60e4e4c8, 0x094852cd,
+    0x78ee0bfd, 0x835e36bf, 0x75ec171a, 0x8f88a323, 0x455e45ce, 0x130f5877, 0x41adcded, 0x96b3c9c4,
+    0xb6ab0f8a, 0xb0d3361a, 0x5e8c9b52, 0x77c4750a, 0x7563ef7c, 0xd1180734, 0x557221e8, 0xf17e1f34,
+    0xe8c8f900, 0x790ed798, 0x82b282a1, 0x2e1a13ca, 0xa8d65125, 0xcedfa009, 0xd7dd39a5, 0xf21412a9,
+    0x1803d329, 0x9447c749, 0x7675acab, 0x68d1aa75, 0x3847ee51, 0xfef59220, 0xebf92278, 0xa3c8e55c,
+    0x5635d55c, 0xbdf0ceaa, 0x9e39a3e4, 0x33bbd5a6, 0xfccc4b8b, 0xfe9ecff6, 0x66785da7, 0xcf0f3253,
+    0x09f54ec4, 0xf8b7d755, 0x2a2c892c, 0x625f8ad8, 0x933b64e6, 0x86af8a0f, 0xf0273064, 0x4bcd2cf2,
+    0x8c041090, 0x9f415bac, 0xc7e9f46f, 0x0f305e4b, 0xb728d2e8, 0x0299cce7, 0xbfbcf3df, 0xdc54eb2d,
+    0x3f58b6d6, 0xe0bae897, 0x746a27db, 0x4457e918, 0x8b35c8e9, 0x156d9e8f, 0xf79048fa, 0xd7af3e56,
+    0x73d474ea, 0x1f1975bf, 0x370965f2, 0x5bb46478, 0x09aff31b, 0xe748bd46, 0x5a51bfa3, 0x0f355578,
+    0x84ec042a, 0x4905a999, 0xf7c33bac, 0x8a4a7f5c, 0x69dad43e, 0x762ea6d1, 0xc4b4141a, 0x44cc9660,
+    0xf1cbfb3c, 0xaab682f2, 0x51fc6ab2, 0x27898c7a, 0x7e268469, 0x744183c1, 0xb65cffdc, 0x7e3ed470,
+    0x18dd912d, 0x266b9e3b, 0xd11391d5, 0x5a0f30a5, 0xa337ee58, 0x4efb612d, 0x8ae92ae8, 0x5f3ee983,
+    0x9de2f1a7, 0xf9e37e13, 0x4d3943b8, 0xa3585095, 0x01a057e4, 0x9eeda0b3, 0x1a03ee61, 0x01a15f8c,
+    0xac04864d, 0xf1a8c510, 0x39be49f7, 0xd3cc8afb, 0xc0b8dbb6, 0xdf4f8ecd, 0x5978d39c, 0xb9c146fe,
+    0xb92c1e8f, 0x3a607475, 0x3c2e7504, 0x5375b594, 0xbca35ff9, 0x4f445e1f, 0xabbe5045, 0x9b3e1cf1,
+    0x57515fd0, 0x59ce4dee, 0x0e6d9537, 0x5d4d4011, 0x31a7184e, 0x51ee1bc5, 0x29f2a122, 0x76ab7680,
+    0xfa80a01a, 0x473ccb93, 0x72ef2963, 0x0d8635e0, 0x671c1861, 0x1475b26f, 0x57b8010b, 0xb3aed5f4,
+    0x36df6cd3, 0xb5d99287, 0x7b2ed8d2, 0xc2d6c476, 0xfb910ac3, 0x6e8e4c7b, 0xbbe792f9, 0xfe080749,
+    0xbf596d42, 0xcdc5ab0d, 0x18131907, 0xfb6c163d, 0x2a37fa24, 0x868bf377, 0x2d3f21be, 0x87e2d318,
+    0xf194cdef, 0x99812524, 0x3964bccd, 0x24bf4a1c, 0x36193556, 0x62d474e7, 0x566cc911, 0xe402ea35,
+    0x750c9fe0, 0x2a1d3013, 0xfa7d007f, 0x2baffcdd, 0xe90cb8e7, 0xff6e2f41, 0x6d313991, 0xf6912894,
+    0xd8c8932b, 0x5d816518, 0x08e885a5, 0x3264fd15, 0xa898672e, 0xf09105ea, 0xa883beb3, 0xc3411d66,
+    0x2b0764ec, 0x4249cfb4, 0x47422ee5, 0x6f1ecdad, 0x6a6feef3, 0xa409b1a9, 0xd55a3e1f, 0x33678a8c,
+    0x49c34883, 0x537976b3, 0xdecd7095, 0xc5467c2f, 0xcd93be9f, 0xc9809614, 0x93a2c6c4, 0x7773b9ae,
+    0x90d5e2e9, 0xa690fa00, 0x0c618fc5, 0xd8059ceb, 0x754b042b, 0x81fdfac5, 0x939d4809, 0x483119fe,
+    0x1c13850f, 0xb584de35, 0x0d5e257e, 0x48cb2f50, 0xd144f3bc, 0xe5858323, 0x0e34a2ab, 0xd6f117ed,
+    0x00000000,
+    0xb8afe491, 0xa784bcd1, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000018889465931478580854784 */
+  { 0x00000000,
+    0x5e9962e7, 0x0e106b66, 0x6babd2e2, 0xb35290f8, 0x511cdf00, 0x86867bd3, 0x21258db2, 0xbb33281b,
+    0x1c849f24, 0xa9d7c9ad, 0xbfaee47c, 0x3ef98f98, 0x18066b8b, 0x5ec40c79, 0xa975c685, 0xbbdc43b2,
+    0xc7dacaca, 0xb2c91315, 0x25c06a27, 0x6b17e377, 0xa504bbfa, 0x7317c0aa, 0x4d12d44a, 0x14dee279,
+    0xd78490de, 0x50c37a8b, 0x8aec08d0, 0xfaab1de7, 0x4cc12b38, 0x575e38d6, 0x8abd40e2, 0xa2f47579,
+    0x86f7a654, 0x991ad2c9, 0x193c2ce0, 0x6483e8f1, 0x434c2da0, 0xd49e80e7, 0x900df213, 0xe2bdb3f1,
+    0x09b7e760, 0xd427d075, 0x137f36d6, 0x0ec04483, 0x1f49c4f1, 0xffb6ca9c, 0xb7ef0134, 0x59b66037,
+    0x8a590985, 0x931a305e, 0xc3063145, 0x380cd4e3, 0x7d728d0f, 0x4bf6b41b, 0x209c7846, 0xd668c0e0,
+    0x03578c74, 0xa337ea2e, 0xf39a483f, 0x6c4213cc, 0xbf39c1c1, 0x51e20445, 0xc26b31fa, 0x9b39a033,
+    0x15816a00, 0xa2d32b73, 0xec17f6b7, 0x69d42edb, 0xae27b164, 0x4df4e480, 0xe6f4a0e4, 0xf4ea6d5f,
+    0x01b64d52, 0x3a236546, 0xfb4aa63a, 0xf3678e0e, 0xf5497f8c, 0x1bf0a767, 0x9442dcd2, 0x95a51d01,
+    0x7ac8de52, 0xa7cb4e2d, 0x84df62d5, 0xb04e66f0, 0x2eec1a5d, 0x5d3e8b25, 0xd079b083, 0x2f961331,
+    0x5325f87d, 0xc6ac7b79, 0x69125558, 0x457e99d5, 0x46daf6cc, 0x6ced8b8d, 0x9318e0f6, 0xa60b1a6a,
+    0x8b93507b, 0xbd21367b, 0xb53f3fa3, 0xe1462ba0, 0x1c139c1e, 0x347d4787, 0xe76e8e5d, 0xaf65fada,
+    0xbcbfe2bd, 0x5c9d121c, 0xf65af242, 0xc38390b2, 0x7ecc3592, 0x35a63fcf, 0xedb5500f, 0x417bcbd2,
+    0x3573da07, 0x2b11418f, 0xa9110ebc, 0x0c94ab52, 0x72ae7382, 0x93a66f1e, 0x336cddec, 0xfdf12896,
+    0xb337c70d, 0x2425862e, 0x0849ac56, 0x579c519c, 0x766cef03, 0xc1b9e27f, 0xf92c977b, 0xf9368a34,
+    0xd07fac3b, 0xfb7a0754, 0xb7917902, 0xc7c16b69, 0xd0a49b99, 0xa8c446f4, 0x5e594706, 0x33ebe733,
+    0xc6351974, 0x978cd3b5, 0x6c9a35b4, 0xeffde8d3, 0x3baefe7f, 0x4bb3a3c9, 0x857fa12e, 0xef1b0921,
+    0xfb0b3425, 0x6b9f1ce6, 0x54c99ec9, 0x6a8b9cb1, 0x0e647f24, 0xba7ba98c, 0x70834419, 0x069a3366,
+    0x58980c5c, 0x9c885e62, 0xb48c0a04, 0x559b13bf, 0xc550c264, 0x43b901aa, 0xf3cd106d, 0xc4f9e391,
+    0x6125fbbb, 0x2b75f6c4, 0xa9ae0c6b, 0x076c9586, 0xf0d7ce6e, 0x05114632, 0x09350e15, 0x90e6ccb4,
+    0x5ec7134c, 0x2bfc4909, 0x53fad5c0, 0x4e10896d, 0xa28400d0, 0x8abd08c1, 0xb3439ef8, 0x0254887f,
+    0xe8ddea00, 0xac6f24d2, 0xa52c22eb, 0xaface2de, 0xa60a3d81, 0xc933b498, 0xa90d4d61, 0xb333093c,
+    0xdcd6a754, 0x5d1990e8, 0xd694e633, 0xcf9c4cd8, 0xa8d945a3, 0xea00c140, 0x70c6cbc7, 0x5004fbcc,
+    0xb3aa2a5e, 0x39e0a019, 0xf2bf2991, 0x99271f85, 0x76d6a419, 0xddfcd314, 0xfb31a2a4, 0x640fbb76,
+    0xe82b4e17, 0xa6d83a55, 0x1ebae34c, 0xff6774b9, 0x65229bef, 0xf09369ae, 0x7ace9020, 0xf0fe15ac,
+    0x7ae36a26, 0x74198685, 0xba4ded82, 0x97520f71, 0x9c8a0d90, 0xf4cb6d82, 0x7d91c52e, 0x3758bbbd,
+    0x9e21bed9, 0x063d1630, 0x38123762, 0x5115f9b1, 0xd306152c, 0x3dd8fdf6, 0x3bea5db6, 0xb17b5078,
+    0x560507e7, 0x507a54d3, 0xb3713577, 0x4ee814e6, 0xad4deb95, 0x5e716d6b, 0xde65c1d1, 0x70d03be5,
+    0x9f9a84d3, 0x38ab5c03, 0xd8b3ec91, 0xd154121e, 0x6cfb5174, 0x98c45649, 0x53f4f899, 0x06d1362f,
+    0x937895a0, 0x3dd690d2, 0x1464dd5a, 0x63264e69, 0xaae78c59, 0x5e5ff37d, 0x51f9fe7d, 0x2004f6e0,
+    0x38569172, 0x027b428a, 0xa34c9936, 0x51daa57f, 0x8165bbfe, 0x27af0897, 0xc7ce23b1, 0xa8a7d9cb,
+    0xcca292e0, 0x8404dde3, 0xe8eef4b0, 0xf0ad285b, 0x3db49133, 0xfcac539d, 0x45a65a17, 0x47a1ffd3,
+    0x115c5116, 0x6124d422, 0x3b502e3c, 0x10907718, 0x83599f45, 0xb0078eaa, 0x8ade5dac, 0x0d11a52d,
+    0x32c9c744, 0x1896f1f4, 0x1aa9a7ab, 0xa7793216, 0xd5ea368b, 0x635a976c, 0x0b8f700c, 0x05f71bb8,
+    0x67fda26a, 0x70e37039, 0x23fd1cdd, 0xb0e81cba, 0x4773256a, 0x0fb04cdc, 0xeb247199, 0x2fc52d73,
+    0x9c8a3013, 0x4623f59f, 0xdbdf8d89, 0x9afa2d95, 0xe30db18c, 0x142fe12e, 0x34cf8239, 0x43eee7a0,
+    0x05d2af96, 0x0cb0aa8b, 0x11b52acd, 0x436a75f8, 0x65e5daf2, 0x858769ef, 0xd19b3976, 0x83fe79ff,
+    0x73e66c18, 0xf5628150, 0x9c17d81e, 0xe9c689c7, 0x16d4a58e, 0x888d3a19, 0x8ccae120, 0x00040933,
+    0x9fae2877, 0x41343ad6, 0x1ca30cfd, 0x84f0d297, 0xeb70ee61, 0x1c715220, 0x7a2594fe, 0x6e51d6cc,
+    0x6008776f, 0x6bb82db3, 0xca470ad3, 0x3afb7a7d, 0xaa1ed7e0, 0x75270cb3, 0xa813a855, 0xc53958e1,
+    0x86f842f6, 0x9db37be7, 0x871b00cd, 0xdc1fb2fa, 0xee3b2fe8, 0x9c627415, 0xbc98d8ba, 0x6a4609e7,
+    0xed19a401, 0x269c0aa2, 0xd8ad8793, 0xf22fc4e5, 0xa57b80d5, 0x21e558ec, 0x0c33fdb0, 0x6659f700,
+    0xc2b4219d, 0x090cac31, 0x2d55681f, 0x21d8de37, 0x31e14d41, 0x3d968ff4, 0x7110ac94, 0x27e7c8a2,
+    0x82dcddd4, 0x00c2707b, 0x1b02c0fb, 0x68735b68, 0x1804da58, 0x8c2a5452, 0x38b2ec3f, 0x367d582b,
+    0x8b60c16b, 0x1de1b025, 0x05bb2ad5, 0x16ca3185, 0xbf51bda5, 0x3fcc0ba6, 0xc0f40e46, 0xe8ccb11b,
+    0x41ec2bb5, 0x67eb5080, 0xbd817277, 0xc19e683f, 0x1ed542a5, 0xcf709b35, 0xf3ac4f97, 0x5b7994d3,
+    0x779450db, 0x9fa34a51, 0xaf3b8b9c, 0xa32bde40, 0x94a42d1c, 0x881665bc, 0x916884b6, 0x426b157c,
+    0xd99b7900, 0xd602572f, 0xec828f15, 0x59f1e881, 0x27c0550a, 0xd4a74993, 0xd99ad91a, 0xe3a4baec,
+    0x68df8230, 0xbdd9e8bd, 0xc79008a4, 0xf6299779, 0x9b668f13, 0x4e74f521, 0x77ae427b, 0x72ab5a5b,
+    0xa3b08da8, 0x926ce87a, 0x3691ce3c, 0xa35f24fe, 0x149deacd, 0x390932ec, 0x0722424c, 0x12f65bc5,
+    0xe920a663, 0xd12b399e, 0x3bfbf803, 0x440b251c, 0xee804155, 0xffd7dac4, 0x76dee09b, 0x1322945e,
+    0x254b474c, 0x4d1fd5ad, 0x52bdfcb9, 0xc36bcc78, 0xaff68213, 0xfed4cfbd, 0xf1c44a6a, 0x36f08933,
+    0xac9fc5df, 0xf93e8fb5, 0xcdbc7574, 0x53c68c20, 0xfb99d74b, 0xec7b4940, 0xb6a17876, 0x4c3333bb,
+    0xd451b2ba, 0xf9e82754, 0x100744a0, 0x7093efe1, 0xb4f36dbd, 0x236b1a16, 0xb380ab6f, 0xd2274ac7,
+    0x17056c55, 0x1bf98a36, 0x7c6e8453, 0x3a96ee33, 0x12337919, 0xdc113a43, 0xe9d5737f, 0xf4a698e3,
+    0x3a68e2b1, 0xcfe5ad2d, 0xb6975880, 0x363fa369, 0xe6d62c64, 0x891be213, 0x72ac0c6a, 0x715c71be,
+    0x31cc6582, 0x17c57d20, 0x96e10f3e, 0x9f7ffffa, 0xd5288ec6, 0x222a1245, 0x5dbc4ecb, 0x29413047,
+    0x4e2e5c7b, 0x42a2111d, 0x095f3bf8, 0x384fa2cf, 0xefb950de, 0x3f924191, 0xbe973c5d, 0xefcf91a9,
+    0xe328a4b2, 0x1a310486, 0x6812a691, 0xbccf1aae, 0x9974004c, 0x78b3fa28, 0xe287ea74, 0xff2ebdb6,
+    0xa4714db4, 0x79d11955, 0x0209222a, 0x64db44ba, 0x3b6dd8f5, 0xa11b6c7b, 0x12640047, 0x9082a9d7,
+    0x443c7a47, 0x662c3dbd, 0x3c505298, 0x7235bb84, 0x6e4990d4, 0xba3c615c, 0x4edfb861, 0x7bf20045,
+    0x8c29c858, 0x01082665, 0x5daf7bca, 0x19f317b3, 0x6a57068c, 0x93c55780, 0xf0fdb0bd, 0x9343fdb4,
+    0x73e1b459, 0x94a3c700, 0x8e1d5c20, 0x9648620c, 0xf86d6590, 0x193203e3, 0x1d07620d, 0x293034ad,
+    0xbd486e7d, 0x9cd45798, 0x633cece2, 0xc5ad5fce, 0x9a0265d0, 0x497920b9, 0x6426dfaf, 0xdcf953cd,
+    0xc3547641, 0xfc0e7e2c, 0xaa002af3, 0x6f831cd2, 0xa7ecba53, 0xf75a20f0, 0xaab82e5c, 0x4107422e,
+    0xab18eed6, 0x79a8ce01, 0x8f413941, 0x977a6332, 0xa94797fe, 0x8dcaffc4, 0xee7dfbf2, 0x22dad92c,
+    0x78e96602, 0x8a4c4639, 0xbfe85b6e, 0xea53b08b, 0x0a2833a6, 0xd70786c0, 0x9cdd1dfd, 0x01b20d28,
+    0xb1a8d567, 0x31f42786, 0xfa0c807f, 0xd03cf4f9, 0xb2aba71e, 0xa459e094, 0x73560335, 0xc2c345c2,
+    0x0d17e5a7, 0x938720eb, 0xf09ea838, 0xcfbc5116, 0xf866a2aa, 0x250b180d, 0x09998778, 0x52316251,
+    0x2f632954, 0x629f31e8, 0x18d61a85, 0x6b72378e, 0x2d611c44, 0xc63f8c8e, 0x9edab159, 0xe8b84c87,
+    0x761075c4, 0x12bce9cf, 0xeabc3a46, 0xa0c5fc7e, 0x66ed8eae, 0x6db0c8f0, 0xee319b09, 0x8a5936b5,
+    0x2a97798d, 0x3993d882, 0x9da0bf2a, 0xeee67669, 0xb41ab355, 0xa7f42b35, 0x52161272, 0x88245ae5,
+    0x41077a36, 0x2625a5c6, 0x25291069, 0x5b50b699, 0xa88f3f77, 0x05128dff, 0x84152980, 0x78dac98c,
+    0xa1821416, 0x0b5c3d96, 0x4d3d7e66, 0x4fa30b34, 0x2497a81f, 0xb9c0b41d, 0x08052871, 0x014ff0ec,
+    0xceeff0fe, 0xd6e1914c, 0xd49c428c, 0x3fd7e91c, 0xd6e969d5, 0x73fd51b4, 0x185c400f, 0x4a4ba801,
+    0xd16b722b, 0xb2706a93, 0x246f38fb, 0x3a01eeee, 0x77bf48a2, 0x5a0bb4cf, 0x65e2e817, 0xb6678968,
+    0x384ae5dc, 0xbd6ffae5, 0x40d8d9ce, 0xaa584c5e, 0x5c0883e1, 0xe079c76b, 0x4cb7d0c4, 0xb1e8b9fb,
+    0x031a5422, 0x0899f1a5, 0xddf0999b, 0x1cb259e0, 0x9c7f715b, 0x35830bc6, 0x35913878, 0xa8921c07,
+    0x2a1d1f44, 0x534cd315, 0x0ce18b28, 0x370909be, 0xadbee831, 0xf3ad269f, 0xb024c123, 0xe06dd96b,
+    0x0d23640f, 0xae281d45, 0x278b3c8d, 0x27251425, 0xbd365e2a, 0x63d4a2a6, 0x1677262f, 0x172db0bd,
+    0x9defe2eb, 0xbe5b4d86, 0xc9cd8715, 0xe1176193, 0x2f29651a, 0x71fa12bd, 0xcf9b3b87, 0xf62ae263,
+    0xdd6dfcf9, 0x86bc3e87, 0xbaf036eb, 0x67f3a108, 0x35f15c93, 0x84794578, 0x2d6ee2f9, 0xa9837d81,
+    0x3bca2987, 0x1044ca7a, 0x7f9bb00c, 0x7bdb6b6d, 0x56256ad4, 0x7ccab195, 0x4b2f7fe5, 0x0dfdd9e0,
+    0xac68cdbc, 0x2637f515, 0xf5ee0a96, 0xf89feadc, 0x7e777e13, 0x07e82547, 0xd2c6c49e, 0x82fc0184,
+    0x28ca8e67, 0xe0e60b5d, 0x520f1e47, 0xd7c0d5f8, 0x3419a357, 0x050c140c, 0x614773ea, 0x02a17fdd,
+    0x1e5e6e00, 0x2269330e, 0x9b478850, 0x99c3e33d, 0x94f0a811, 0x87ccc7a6, 0x98033189, 0xe006f996,
+    0x7dc60a62, 0xef7861bc, 0x53dba16c, 0x8e9b1209, 0x81365cd9, 0xa0156c94, 0x39ed5635, 0x9bd376a7,
+    0x7c77bf97, 0xcab48559, 0xcfa0d114, 0xb2303f46, 0xa398cf2b, 0x18f961d6, 0xe7bdd158, 0x9c31dcf2,
+    0x620ed144, 0x3a7ab74c, 0x3ca96056, 0x6ea9bde9, 0xa2441753, 0xd803e1fb, 0x38a0a09c, 0xd03a4c4d,
+    0xc1962599, 0x18a55831, 0x6c35edf0, 0x2e8694a6, 0x625b6636, 0x04ce6681, 0xb3982055, 0x244627c1,
+    0xb581ec10, 0xff103bb0, 0xb3b5c25f, 0xbb121641, 0x0668b7eb, 0x35f3d09a, 0x94eef67a, 0xb153058b,
+    0x0107488b, 0x9880e038, 0xa44d54cb, 0x6a6e874a, 0x66e86499, 0x9bd41c5e, 0x4a42f37a, 0xe486ac1d,
+    0x5b9295cc, 0x12380089, 0x060c8f14, 0x542cf4bc, 0x77a41011, 0x383a3f94, 0xe09fd4a4, 0x370d6148,
+    0xab912c8f, 0x44ae3e40, 0x87d50064, 0x588a0870, 0xec876bcb, 0x66d286ba, 0x2279bce3, 0x809baf9b,
+    0x9642f29e, 0x45f2a2db, 0x0c0f9fba, 0x4d41011f, 0x755c4ee0, 0x76c6c9e3, 0xcf68e7f0, 0x8d677ddf,
+    0xaee5945b, 0xfa583f8d, 0xd3592341, 0x3187aae9, 0x78ba8efc, 0x1c3782f0, 0x8ce228f4, 0x64bf2443,
+    0xf3c34b73, 0x65c57110, 0x45f05e6c, 0x5ba91f3d, 0x8a48a74d, 0x06da0c54, 0x9391d4c0, 0x6075e89e,
+    0x6ecb8e78, 0x32014dcb, 0xa8541af5, 0xeeb60ad0, 0x0d21f429, 0xa28bac17, 0xb0041b03, 0xad579191,
+    0xeaf4dc45, 0x40347b56, 0x4e3bf5ae, 0xdb470ad3, 0x9fff4849, 0xc32450dd, 0x4cf787f9, 0xe4b3c685,
+    0x90348c4c, 0x4807d78c, 0x3007e480, 0xc360ed53, 0xfe1e9893, 0xa8bd0b32, 0x32fc9cd0, 0x2389d3c5,
+    0x92a56770, 0xd9cda89a, 0x5d1cf50f, 0x214df8dd, 0xf4bc8aa7, 0x14866a25, 0x71c80a4e, 0x166ca399,
+    0x8b1dd2d0, 0x2f59bbae, 0xf4c8547f, 0x2c259989, 0x9bfe02d0, 0x50dd1e56, 0x5159cb1c, 0x44bfb846,
+    0xa34c396c, 0x13821bda, 0x1f40c19e, 0xb7b4e076, 0x348ce9bf, 0x2eec0b40, 0xf795c55f, 0x927bbe25,
+    0x58df6d8f, 0x9d8264b2, 0xc547456a, 0x5c09c992, 0x4a909eff, 0x229593d2, 0x58f33260, 0x8e7feb64,
+    0x4051ac72, 0x765f7af0, 0xf81b6fb1, 0x1ab782b9, 0x419230dd, 0x1dc1fba2, 0x566b16d7, 0xa0e82a83,
+    0x80d2d4a1, 0xa18a00df, 0xf7cd9050, 0x059ae448, 0x348f6ff6, 0x2ddb72e9, 0x50d6caed, 0x0031e66e,
+    0x687c0e94, 0xaf0e784f, 0xcdc6c083, 0x67b03ec2, 0xf701e3d8, 0xe5075e9e, 0xa227e188, 0x989d8660,
+    0x25a2cbf2, 0x8ce1a11b, 0x79838f3e, 0x384ce4e2, 0x2c03a783, 0x3df754ad, 0xfbdd3372, 0xb6866d03,
+    0x8f1ff146, 0x74ec45d1, 0x205f5cf3, 0x8b0d3aee, 0x4e6ebb1a, 0xb3e46191, 0x4ffdce68, 0xaac73be8,
+    0xe3fb5eb7, 0xb52c11ce, 0x053bac5a, 0xcac5963e, 0x6838f36c, 0xc3fad7db, 0x58e07706, 0xc99f538e,
+    0xeecd22d1, 0x28bab1e4, 0x888fc692, 0x22b3b943, 0xb0b805b7, 0x2f635979, 0x1920f4fe, 0x7cfb9a26,
+    0xea9ab0a1, 0x3ea1397b, 0x4eb9865b, 0xdad81cf3, 0xd5158629, 0x70eb0928, 0x6e178eaf, 0xdee6c05a,
+    0x174287fa, 0x73a66057, 0x41ea11e7, 0x77cf6cf9, 0xb95818a0, 0x434527dd, 0xa018ecdd, 0x5004ed62,
+    0x66762b57, 0x1962a454, 0x30967d31, 0x42a94421, 0x9fe18d3b, 0x08424fde, 0x6f9216c2, 0x537f19f9,
+    0xd419abb7, 0xad19f2b8, 0x7bb790ab, 0x4b9aa023, 0x45465f1e, 0xc18b4b34, 0x5a985251, 0x1be52931,
+    0xb544aeeb, 0x01e95303, 0x60349c81, 0xe3113ddd, 0x98b4b960, 0x700ca9c8, 0xd4d81ff8, 0x8949967f,
+    0x99183ef9, 0xc7c978f7, 0xc5fdf0f1, 0x9e12cdce, 0xad760188, 0x480d21a7, 0x845e1e98, 0x21d88ce3,
+    0xc4593967, 0x13c21d52, 0x8414d452, 0x257e3751, 0x9e772217, 0xc73591c8, 0x7379774b, 0xca1b683b,
+    0x8dd0a4f9, 0x02bc6776, 0xa1c57f10, 0x599b6b00, 0xa24289da, 0x928b17de, 0x4c4c9f82, 0xf8cb8c89,
+    0xc7eb91d5, 0xfa48b069, 0x2028176b, 0xbe5e80b5, 0xd6c87933, 0x7abfdb58, 0xd9abf775, 0xbe83ca0b,
+    0x4dbe9833, 0xa5fddbde, 0x3def58aa, 0xe9d20513, 0x27ec42f4, 0xd0671553, 0xed657110, 0x1af01e74,
+    0x24e3f41b, 0x3314ea45, 0x13df5c65, 0x3c416d38, 0x96426dca, 0x6e20285b, 0xb9adaf4a, 0x5ccfd2aa,
+    0x8a0d4d75, 0xed26c2a0, 0xfe573fa6, 0xae40e700, 0xcb80bb9b, 0xe69dd5e9, 0x503467fa, 0xa32dc67c,
+    0xe446e576, 0xce623756, 0xad282b2c, 0x4b8b9a2c, 0xf9ddf1fb, 0x3c36bd90, 0xa6836368, 0x2f2685f8,
+    0x5659b5a6, 0xc6d787e2, 0x78cf59e9, 0xac15c8b6, 0xe86d174c, 0x4bde2e39, 0x8d21b301, 0xa5de7b0b,
+    0x00000000,
+    0xdc57f248, 0xd3c25e68, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000009444732965739290427392 */
+  { 0x00000000,
+    0xb2f09eeb, 0xf3f05d71, 0xeaea3988, 0xc44bff69, 0xaf9dfe99, 0x55eae97b, 0xd9e8ad44, 0x06b34df0,
+    0x7eebe4cc, 0xaeb57913, 0xc9fd4955, 0xa87c54d8, 0x50907c09, 0xaf213051, 0x968ab526, 0x85bbad62,
+    0x1dff677a, 0x150a47c8, 0x9143c8bc, 0x3b150b6c, 0x097fe5d9, 0x81ea32b3, 0xe3377b11, 0xf7b5c0dc,
+    0x59d955f5, 0xe823eac5, 0x34adac0d, 0xb823d87b, 0xa2544cd7, 0xac4af3e2, 0x9c776eda, 0x40ffb25f,
+    0xf912b0a7, 0x7c9641d3, 0xe64c8a1e, 0x94d95346, 0x69581920, 0xdd2ea3c8, 0x3ed78fc1, 0x4e5d948e,
+    0xdae6caa6, 0xa8ea5456, 0x832898e0, 0xb8b06880, 0xa26be4b6, 0xaa556efb, 0x81437369, 0x85911c00,
+    0x9ccb1b78, 0x85e97062, 0x85e8d10f, 0xec18ffc7, 0xcfbf8e89, 0xda8942b1, 0x493cbbff, 0xe91bcf4b,
+    0x62c5fb0e, 0x3568a560, 0xf48e4a09, 0x0d581184, 0xd752f90e, 0xfdd0dacd, 0x2413bd5d, 0x21a0d4ef,
+    0x36667c14, 0x2a6ebf43, 0x74f84351, 0x4d29f376, 0x36c0584e, 0x49d4843e, 0x3304459e, 0xbdd1a9ae,
+    0x63e71f8e, 0x452f5c38, 0x074c424b, 0xe0c1e66e, 0xac15a9aa, 0xda45ca6e, 0x8fa8853d, 0x1724b526,
+    0x98fb475b, 0x8eafed9a, 0x53eb1004, 0xdc901b25, 0x11bb0df8, 0x336f1572, 0xc98a7532, 0xaad90423,
+    0xdbc1ee6b, 0xb7371af3, 0xcb2b6851, 0x3322371b, 0x34719c40, 0x67f99d92, 0x8f237392, 0xe84f6693,
+    0x65b1f70b, 0x1feff692, 0xb45e2d2d, 0x828344c1, 0x7b737040, 0x397782a2, 0x0e031ee5, 0xc3ecc6bb,
+    0x3fa87522, 0xcdf34c18, 0xbfe205bf, 0xf32f9298, 0xc6a6729d, 0x1bb92875, 0x7df88320, 0x3fdf4def,
+    0x4ba48a01, 0xa037e677, 0x49368d10, 0xc8cb13c6, 0x6cf99a68, 0xa6dd181e, 0xc5be5e67, 0xba96e08a,
+    0x6b327113, 0xf13c75dc, 0x7a35edf1, 0xaa8b2a87, 0x703f3c72, 0x40a11175, 0xbbcde253, 0xfb2b08e2,
+    0x833e52e1, 0x847c1c17, 0x83feb700, 0x1c86f7eb, 0xaf601cc1, 0x4a8bea80, 0xeb637378, 0xd1729f4d,
+    0x264e5b8c, 0x53abad5d, 0xd39a7f06, 0xa9066903, 0x954a20b7, 0xa4404c51, 0x1d4eb92d, 0x60be1fc4,
+    0xa2e71311, 0x960ccfff, 0xe7aedb1e, 0x94619e8f, 0xb9d39a2e, 0x789796be, 0x7c0d1539, 0x9982b6e3,
+    0x74a69ba5, 0xa5e982e8, 0xd6bdb111, 0x309783ef, 0x245abf72, 0x6d398cb1, 0x0fa626f0, 0xaf9e6a43,
+    0x572f29c4, 0xfe213912, 0x39943135, 0x2ce1385a, 0x4fa4442f, 0xac4edf73, 0x0f34ea1b, 0xb084cfef,
+    0xe7473682, 0x57473aba, 0x6210b8bc, 0x0f82c852, 0x232cfd61, 0x91f502ee, 0xe24d352f, 0x7e393316,
+    0xacdec957, 0xf350ec37, 0xdf1ff27f, 0x5142e89e, 0xe258960d, 0x390e1709, 0x6a9e0644, 0x1467f8ad,
+    0x92ce6466, 0x2e4599d9, 0x20e56db4, 0x005fe235, 0xb06f5305, 0x48e9c7eb, 0x7fa347e7, 0xbb032405,
+    0x7c355a44, 0xe8a0c2a5, 0xf63e1a24, 0x0a0aa6a8, 0xb03aa44a, 0x44b076d0, 0xda1565a6, 0xca3c3c1a,
+    0x00b0804c, 0x2b11648f, 0x708ba843, 0xf3ff4abd, 0x7d3ed93c, 0x1d62feab, 0x81b67dbd, 0x11eb94ef,
+    0x02eeeb02, 0xcd21e876, 0x9777eb82, 0xcc1c3767, 0xe19bec73, 0xb2aca253, 0xcad70857, 0x8564b4a6,
+    0x75dd1206, 0x866e36a0, 0x80702a14, 0x7f010621, 0x746c0b0b, 0x8567df0b, 0x44215830, 0x2a6b3646,
+    0xf0ad25f9, 0x1176e92e, 0xc8ac6500, 0x711be1ea, 0xf3055eee, 0x75edd2f1, 0xa049eff7, 0xa1a7f9f0,
+    0xb7fd8336, 0x0d7a600f, 0x62709eb1, 0xe3ab09c1, 0xa40b3cf2, 0x00bd8d20, 0xbdede0cc, 0x190de9e2,
+    0xcdcb5101, 0x47c6f489, 0xb0a43350, 0xb9c61ee3, 0x68902e3b, 0xcb419b14, 0x537a2ac0, 0x7a1d92db,
+    0xddf7cb67, 0x44f79143, 0xbedbe923, 0xe201b9e7, 0xf7b1948e, 0xb25150a0, 0xfeab4090, 0x691fe606,
+    0x378a0424, 0x49d61659, 0x5c4c94b0, 0xce2a9c31, 0x4ede0bc7, 0xbed77807, 0xf59376c5, 0xbc6f17f8,
+    0x038c871e, 0x20e52441, 0x7b8ac92d, 0xfe6ce49c, 0x70596020, 0xae9b119a, 0x81614f29, 0xdb2c2e3e,
+    0x757b90fd, 0x4e1b6455, 0x94e2a4a2, 0x4fa83a9d, 0x47817b01, 0x35f0e1ba, 0x18b8e5ac, 0xdc9096cd,
+    0x130964c1, 0x2ce4af08, 0x6fdfb3ef, 0x8ea37a06, 0xc6d9951c, 0x7e14d011, 0x0bf48efb, 0x6d950fbd,
+    0xfb669b34, 0x1855b1c1, 0x01d0a2bd, 0xa88d60eb, 0x905c269d, 0x44f27aac, 0x961fdddb, 0x3355987a,
+    0x52b8b0ac, 0xf5cb50cc, 0x11b3bd1c, 0xb599fb20, 0x6a524add, 0x7af37ae8, 0x0ada9cc5, 0x1aaf7985,
+    0x708aa0ef, 0x7b914c3d, 0x8c1d3500, 0x074acd9d, 0x72a0f0c7, 0xd709fed7, 0xb29bc121, 0x4fc05e4a,
+    0x9258fb34, 0x337e3c0f, 0xdbe56d74, 0x27d4c1ec, 0xc40836bd, 0xc0f168dd, 0xcba85c66, 0x260dcbdd,
+    0xe5f6b0de, 0x8b187385, 0xc93c22b8, 0x98c4cc8a, 0x2cba633d, 0x423285e0, 0x70db1364, 0x31b41ead,
+    0xd8614789, 0x1c4a7732, 0x03307ecf, 0x0acace28, 0xbb54a9c9, 0x0fcac7e3, 0x2a202350, 0x7a799776,
+    0x25eec41c, 0x0eb2321c, 0xe256617b, 0xc2d693e7, 0x5385741c, 0x3f9f1c77, 0x7248e9bf, 0xc6c6e4bb,
+    0xed9f38c3, 0x22a4578c, 0x9352f649, 0xf46fb5b6, 0xd94782a4, 0x019119e7, 0x9ab187fc, 0x7705408b,
+    0x5732d3a9, 0x61be7656, 0x48aceb5d, 0x4b98d832, 0x0111fe84, 0x21ca97fd, 0x1098a96c, 0x661a2ef1,
+    0xf0ffd528, 0x1994b23b, 0x1471ba7a, 0x2ccdbe96, 0x8b5a31f1, 0xb2247e31, 0x93514d91, 0x54b58cf2,
+    0x591aa7d5, 0x8756053c, 0x641a20d2, 0x22896e9c, 0x75c4449f, 0xd061450f, 0xbc72cb9c, 0xf14c8d0f,
+    0x886db6d6, 0x97a799d4, 0xbfa7100a, 0x169202ed, 0xfbbc973f, 0x0bb1e3e7, 0xa6e686fe, 0xa1a0a8c2,
+    0xca445d8f, 0x677aade6, 0xe0ca2966, 0x72b5aeb7, 0x28471bac, 0xa7b17041, 0xdedf2ac4, 0xd10dde32,
+    0x9ef54f85, 0x3c9e6779, 0x392c480d, 0x9842bce8, 0xe5a7abd0, 0xbb60586f, 0xdaa20c2d, 0x514887f6,
+    0xf107ed97, 0x8631a26d, 0x9293be80, 0x89a5c794, 0x801570d9, 0xad779053, 0x0e2762c2, 0xc2b1f8c7,
+    0xfbeaefd0, 0x7bfa1f21, 0x1a1c8c92, 0xa4302d37, 0x2a1b9741, 0xcd31676d, 0xfafef257, 0x1ed9c5e6,
+    0x3b40de76, 0x449fce32, 0x1324f213, 0xfd663d35, 0xef313da5, 0x24bccf41, 0xc6726763, 0xdea9ecc4,
+    0xd659e44d, 0x69b16033, 0x7900c3d8, 0x3bdc7224, 0x8b9dcde8, 0xfcccf7cb, 0xfcbe1ebd, 0xdc532724,
+    0xa413df0c, 0xf9509d67, 0x6680d899, 0x26ad2442, 0x6672d7ee, 0x46a88c8b, 0xe5050a8e, 0x6912066d,
+    0xa1d45518, 0xb3f14b89, 0x3bddef7c, 0x1034258c, 0x351cc0ed, 0xac0800ef, 0x9c9d1fc2, 0x59d077cf,
+    0x7549c533, 0x1dc36cdd, 0xfc65a8a4, 0x2d77523d, 0xe2a300d0, 0x5e24f702, 0x537d32ab, 0xca6448b3,
+    0xceb97826, 0xd4f65cfc, 0xbd60fe94, 0x44a8b4a3, 0x2a7eb993, 0xd357cdfd, 0x0605be9d, 0xb6c99cc0,
+    0x274454c9, 0x86da14b6, 0x9ad8d313, 0x2a6391c6, 0xbf98bb51, 0xed9b70a0, 0x68154cc0, 0x9b12b02d,
+    0x7b620d5b, 0xcc5424dc, 0xd8a99bbd, 0x7aeec2e2, 0x4e863074, 0xad6a5261, 0x7171f4d1, 0xa04b36fa,
+    0x2be92121, 0x19607d42, 0xf9fa18c7, 0xd569ffe2, 0x1881fdda, 0xcf72fc54, 0x00ca15c1, 0x0234503c,
+    0x1f18802e, 0x6aff523d, 0x1acbff09, 0xd121ec8d, 0x2f221a39, 0xb48f8349, 0xd12c0945, 0x2c27f42a,
+    0x247a0e5e, 0x016c95ee, 0xcbeaeeae, 0x75dff429, 0x8121c3e4, 0xf480b136, 0xd72e3b5e, 0x4677f860,
+    0x5ff1f21f, 0x2b7cc6ca, 0x8362960d, 0x71762493, 0x8012bd9b, 0xfc725895, 0x4fa1fb3d, 0x81209d42,
+    0xe7128dc2, 0x483e19af, 0xf4340ea4, 0x631cd9a2, 0x26d9da3f, 0x8741d95d, 0xd420499c, 0x1c71a85b,
+    0x3fd17b51, 0x32fd7836, 0x6c71c324, 0xc3a93b98, 0xf7316aae, 0x4c396d21, 0x95e94246, 0x0eebada5,
+    0x96e95f9d, 0x09c4c20c, 0xe2388e3d, 0xa920531c, 0xd4383da6, 0xc579034c, 0xcc7c2876, 0xb7fb5629,
+    0x3b45514f, 0x4e6b0dd4, 0x43acad4a, 0x3d7c264f, 0xb39576c0, 0xd144cebb, 0x6b8acd42, 0xd4aecfbc,
+    0xce048707, 0x9b1e2060, 0x79fca12a, 0x34b6c1a8, 0x28f45a4d, 0x96c0e26f, 0xe3e8ea09, 0xec31b22c,
+    0x47611bd4, 0x61f17bda, 0xf39dab67, 0xb9cade5a, 0x9f4679b7, 0x8039140c, 0x45767233, 0x0e976006,
+    0xf94ee189, 0xc90a07f7, 0xbf2544d3, 0xc75e4573, 0xba35b563, 0x7a210126, 0x7d9c1420, 0x935ad989,
+    0xe65a8cc1, 0x3cda554d, 0xf4e6fa57, 0xbd62b3da, 0xdd1cdbd3, 0x0861a577, 0x3ad56944, 0x1267049f,
+    0xcf866f5d, 0x7902da41, 0x5fa19714, 0x51e470db, 0x05aea58c, 0x5c44483e, 0xed35eaca, 0x9510ed54,
+    0x7fa1f36e, 0xec10e218, 0x84ade1b0, 0xe68055f6, 0x251e9ae6, 0xc1dd0b8b, 0x2521f4dd, 0xaa42e346,
+    0x4c809600, 0xc6c1a3e5, 0x5915393a, 0xfa1dbb40, 0x86452df0, 0x16ed7b0c, 0xfe391a67, 0x90123428,
+    0x083166a6, 0x8606c7a1, 0x213a6ba2, 0x9760994b, 0xab640019, 0xc4b6d0f3, 0x7b4e0f8c, 0x013fc8e4,
+    0xab406136, 0x4f24f5de, 0x5688287e, 0xe5608911, 0x1d0b9328, 0x9e6e1d9d, 0xef8ea24d, 0xefd1df05,
+    0x90904618, 0xa79cc696, 0x39b6b085, 0x1279083c, 0x9db8bec6, 0xbe1f4db4, 0x109c9db9, 0x22c6087f,
+    0x90efdf2d, 0x98170392, 0x7f076d87, 0x1b3539f0, 0x05a69960, 0xc63a99fa, 0xbe0e6a7e, 0x3b36ff16,
+    0x0c738706, 0xfac99240, 0x87b0c8e1, 0x80f9d347, 0x6d2c5448, 0x9386417e, 0x2ff440a9, 0x06e3df2c,
+    0x3479fade, 0x5f214697, 0xc44f0d67, 0x3cd7d1a2, 0x1127d34a, 0xd080987c, 0x767ba3c4, 0xbe729db7,
+    0xa0fcb896, 0x0bc3e5c1, 0x57e8e7de, 0xabdfcfab, 0x8020b069, 0x8b750f74, 0xcb0898cc, 0xfbfcaf26,
+    0xc1f23425, 0x51585877, 0x96ecdd85, 0x6c39eadd, 0xaba34cfc, 0x809dac48, 0x3747d881, 0x1b8e5597,
+    0x3d2d5e8d, 0xef8f90ff, 0x04dee45f, 0xe5981c92, 0xd470bf5f, 0x299b1824, 0xe84ba676, 0x5795cc44,
+    0xa15d4db5, 0x8fc40385, 0x822a2dbb, 0xe291f2e5, 0x7a1fe8b6, 0x2983479f, 0x23f7177d, 0x66b6c44f,
+    0x9fcca83d, 0xc2f54257, 0x0b45decf, 0xc92725d3, 0xb84cf026, 0x10dd9efb, 0x3146e22a, 0xb11f44ee,
+    0x929c0dd0, 0x045b066e, 0x0e268a54, 0xd4877b91, 0xb25bc4bd, 0x3d487c25, 0xa2bf56e2, 0xa85a9822,
+    0x8d17869e, 0x0f1b9b63, 0x38100c6e, 0x8b284505, 0xe3013121, 0x625a8204, 0x26c3d2b1, 0xe27923e1,
+    0xb065655d, 0xb87a405d, 0x7494d3ad, 0x23df0739, 0xa80261e6, 0x83e4031c, 0x6f446b26, 0xa1210c2e,
+    0x65456d38, 0x16e63731, 0x4f961a92, 0x72f6abad, 0x2c4a1adc, 0x396c76d7, 0xe1a87407, 0xa4e59ca3,
+    0xe6082f64, 0x96f44b74, 0xc98b1dea, 0xc744a2bb, 0x25b9a6d3, 0xdfc9341d, 0x9f1171e3, 0xf2eaf180,
+    0x835e758d, 0x44406c3f, 0xa802bafb, 0xd6bdadce, 0xf226ae92, 0x39103b16, 0x5fff6029, 0x7ebb861d,
+    0x968df7a9, 0x1ace4d18, 0x24e4b5da, 0x9efe2904, 0x1712c68d, 0xec9e305f, 0xca72d09d, 0x08fbfe83,
+    0x717dc3eb, 0x56b7e564, 0xa06b11ee, 0xe87db9cd, 0xb3954f72, 0x9e0caa53, 0xa11f64ce, 0x33cd6c27,
+    0x2d4bb5c5, 0xc720ba31, 0xe22518e6, 0xc111be10, 0x596dc02b, 0xedb044c5, 0x4d71a17a, 0x7939121b,
+    0xe4fa02d0, 0x3251ec3f, 0x1a2cf66e, 0xc798e6ea, 0xa3dc8b7f, 0x114bca6c, 0xaeeb84ce, 0x645951f4,
+    0x6e3b7b17, 0x115d9939, 0xc57256ab, 0xefef5aaf, 0x416ae84e, 0xcc10277b, 0x2e33929b, 0xc75e12ad,
+    0x108dce7a, 0x8b0209af, 0x170cc4d9, 0xce116762, 0xc9ee4a51, 0xdde72043, 0x04d303e0, 0x9e7e788f,
+    0x2dbb34ed, 0x4bf1a4da, 0xfd3eff61, 0xb0495dce, 0xf84b8b3d, 0x46dcef59, 0xc5d1b229, 0x9ef88d8f,
+    0xd28e667c, 0x636cbef8, 0x47d3267c, 0xa8624c58, 0x75560b79, 0x03893ce7, 0x4ca3ea34, 0x2f7dfe94,
+    0xa88118fa, 0xb860d061, 0x4f56e516, 0x3162f6f8, 0x0d527474, 0x58c18873, 0xeb3525c8, 0x1d473fef,
+    0x9f7eb865, 0x521ea827, 0xc9211aea, 0xb85130b5, 0x9fba23d0, 0xddd99fac, 0x147777d9, 0xc2b130b4,
+    0xf3730b69, 0x2f9c03b6, 0xe49ad451, 0xfcd427ef, 0x9cb920cd, 0xd03ff6b2, 0xf79e5213, 0x789405cd,
+    0x89882d45, 0xb33e6ffb, 0xe2526ef9, 0x7abfb873, 0x33e8c347, 0x848b2760, 0xa8e45321, 0x18e644e7,
+    0xadebb50a, 0x1e19891d, 0xcb6a19be, 0x932d3053, 0x551964a0, 0xd1a256d6, 0x8c20bbfe, 0xaff84175,
+    0xb564ea09, 0xaa5f3031, 0x9d30d2ac, 0xf784af5f, 0x6da00838, 0xc8e7707a, 0xa337d013, 0xdaa0f742,
+    0x464d93cd, 0x4dab0103, 0x1e51835c, 0x11d696b5, 0x5b0df073, 0x00bbbcdc, 0x84e81511, 0x25e7b944,
+    0xa2a9fb2b, 0xaef6dc47, 0x32d016d9, 0x82ebf2e1, 0x0a086ff3, 0xffdc207b, 0x943af10e, 0x8bcf9101,
+    0x2e1b3d11, 0x55469561, 0x9afe6cf0, 0x47ae0b06, 0x31e7f3b4, 0xa906bc5c, 0xf7117628, 0xf11f0c2a,
+    0xa944c9d2, 0x0883a8fb, 0x77e6a186, 0x66ca1809, 0x68186ca3, 0xeb04c2fe, 0x4290358f, 0xc0f8acd5,
+    0x2c54e76e, 0x05848328, 0x0e51ebab, 0x4ca2bf6a, 0x9a89b386, 0xf2b5c822, 0x449c4fc8, 0x56757e9a,
+    0x330c816d, 0xc6c1c5b2, 0xfd9e7923, 0x546b0a9f, 0x443e2487, 0xe82a3350, 0x8cbd791f, 0xf1cd35ed,
+    0x65952c0c, 0xad2499a8, 0x0a935484, 0x622ebf87, 0x35f72add, 0x1f1cedd0, 0x058f19f1, 0xca74eae2,
+    0x353d4ae8, 0xedad6243, 0xdb1cdc24, 0x9945acf8, 0x249bf6b7, 0xa0e29575, 0xf4bea092, 0xfbcd3dcf,
+    0x3d3774c2, 0xc6ef1c88, 0xfead6151, 0x35e6f75c, 0x45e2c724, 0x6035b052, 0x6f817e1c, 0x78664714,
+    0xd0599f38, 0x59c1696d, 0x05e1094c, 0x2b5c898e, 0x9631d6ea, 0x825cb05b, 0x7366525c, 0x04a1c10b,
+    0x86e3ffa1, 0x2f6e0f03, 0x77886d03, 0x707cd87c, 0x0e021279, 0x300c0f5f, 0x9920a6a2, 0x01c0243d,
+    0xe1723ff4, 0xc34b9f85, 0x6c7147c6, 0x643d4b31, 0x65dcd696, 0x40584de2, 0x330c5741, 0x7da658a8,
+    0xbff79f8f, 0x0fcd7338, 0xe0441e12, 0x118a3f4f, 0x0f6e0c9f, 0x361c8fff, 0xa8e74fe3, 0x54078ef0,
+    0x4c7d5f11, 0x73cab1c1, 0xe21ba5ba, 0xce79474d, 0x9c8b9c08, 0xd3ce2af6, 0x65def534, 0x935d9c7b,
+    0x7fb1c585, 0x1ff73ed0, 0x0897f112, 0xa747432e, 0xf56a5c58, 0xe6ce02fb, 0x23267900, 0x7d5ad705,
+    0x060bffcd, 0x8cc0e8e6, 0xdaca371c, 0xfb5a355e, 0x14510f6f, 0x74b01197, 0x7aae4c5f, 0x7ad21d52,
+    0x7bd54b57, 0x24f58a0d, 0x14c6b286, 0x75789041, 0x375ae0a3, 0x482d56a5, 0x6a0d24b1, 0x5b846b58,
+    0x203747ee, 0xdb404fd5, 0x4dc95024, 0xb910d90e, 0xdedf377c, 0x8b4a73e4, 0x85517395, 0xe6df1bba,
+    0xc1d6f3e9, 0xb24ac581, 0xe021e0c9, 0x595397e5, 0xb286299a, 0x0a71b83d, 0x4e7d8d25, 0x74dfc92b,
+    0x0ecb31eb, 0x60cd74b2, 0x785f55b4, 0xb437a101, 0xa1c852b8, 0xa6bbe9ee, 0xb738d42e, 0xce107390,
+    0x00000000,
+    0x6e2bf923, 0x69e12f34, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000004722366482869645213696 */
+  { 0x00000000,
+    0xf10668bb, 0x0d59a058, 0x060cbaba, 0xb0a42e6b, 0x0565acc7, 0x48988148, 0xcc4b2ca5, 0x65da4365,
+    0x40bbd1d8, 0x4db8718a, 0x54507589, 0x044497d8, 0x05f7b30f, 0x26041de2, 0xa78c8909, 0x563c9902,
+    0xf8bb9236, 0x5473d2c1, 0x6a10025f, 0x8df54db8, 0x9a4a78d8, 0x1cb10a1f, 0x089f5b68, 0x8c232c70,
+    0x4f7f138d, 0x12fda220, 0x3832c13f, 0x43c853f2, 0x41b07d63, 0xabb96dd0, 0x7fbd0862, 0x13f78533,
+    0x7c75e40d, 0x57a4695a, 0x8d2b3146, 0xb0ec224c, 0x26a8530a, 0xe53816c4, 0x2e5cb53f, 0x606526a8,
+    0xb8c8e1e5, 0xf0fc4660, 0x2e930b30, 0x27ed0a71, 0x1e00f3fd, 0xc473a1ae, 0x53162209, 0x49587a0d,
+    0xaceabf83, 0x5ab3ce89, 0x0f13acdb, 0x97961325, 0x8925fbde, 0xd1ef6c1e, 0xf00cedd3, 0x31cacbb9,
+    0x0e113bec, 0xd99468ba, 0x2ea47b25, 0x10220327, 0x96faef38, 0xfdabb6b9, 0x57b3dcd1, 0x11b173c8,
+    0x35d68e12, 0xf0cce089, 0xabd22c96, 0xec8f7e19, 0x00ed3a0f, 0x810bcafb, 0xdf9fed95, 0xcea810dc,
+    0x9e252af2, 0xf92c0048, 0xac285798, 0xda6246f4, 0x465a9171, 0x7b520c93, 0xfb8d948c, 0x6bb9ca4a,
+    0x5b5a5749, 0x0d9bb146, 0x31244276, 0xe93af6d1, 0x7f771bab, 0x78b7874b, 0xd27b3a67, 0x6f54771c,
+    0xeb4d7f47, 0xfca7ea7e, 0x7b05a518, 0xc27e942e, 0x3766641d, 0x9bf9cf8c, 0x67245e6a, 0x2f1299d6,
+    0xe3cd9a68, 0xa131ba12, 0x47bd700c, 0x792ad7c4, 0x4b465558, 0x29b18032, 0x960e6c07, 0xe31a4b5d,
+    0xebf435d1, 0xa405749a, 0xb6c76d23, 0x3a2b4a86, 0x0b6c5848, 0x98131734, 0x8f32d384, 0x0971920c,
+    0xdf3d09dd, 0x541200ed, 0x2b07383f, 0x3e6fba7b, 0xe5d6a902, 0xf24e0c3d, 0x27ccd272, 0xb76528f6,
+    0x513b610b, 0x018e748d, 0xadb7eb13, 0x003c70a8, 0x408a7e99, 0x03b2741f, 0x071430d8, 0xdb4460e0,
+    0xd18d28b1, 0x3fa524da, 0x4bb94482, 0x97ccab30, 0x3cf39e17, 0x51058d59, 0x7f191f2e, 0xcc15bb61,
+    0x78008bfa, 0x4ca590e3, 0x2a1570d4, 0x008cdca1, 0xd8c24a60, 0x27255b8e, 0x2aa82137, 0xc9ef1439,
+    0x60b6d52b, 0xf0592402, 0xfd8fad97, 0xbab133c1, 0x5e518c10, 0x6ab1a67a, 0xb1a0b5a8, 0xcde600e7,
+    0x173fbe74, 0xa78ce3d3, 0x4b506933, 0x5e1dd802, 0x3a6dd71e, 0xd73ea5db, 0xa1344d9f, 0xb879d3dd,
+    0xbf9d673f, 0x0cc01a1d, 0xdc6bbbe1, 0x5add532c, 0x26104c96, 0x52474923, 0xd983fc24, 0xab7bb6e8,
+    0x81f57f38, 0xb78e1318, 0xdd9726b7, 0xa5db5072, 0x985d459d, 0xf8365373, 0xf8cf9b3e, 0x8eda7bdb,
+    0x04254e1e, 0x63287d56, 0x9fdee374, 0x8aa45dcd, 0x2dc0559e, 0x2e7022c6, 0x91314cca, 0x18f40a98,
+    0xbb0b6cf2, 0x1ddca0d3, 0xc50f5a9e, 0xfe858b52, 0x099f8e97, 0xfa3a410d, 0xfbbdd90c, 0x68e29349,
+    0x08431e69, 0xa2fcafbd, 0x9f6134fe, 0x081bb6d6, 0xb46feb83, 0x5f708774, 0x03b6a220, 0x8f059646,
+    0x80e17a60, 0x80d07300, 0x6fa8399c, 0x1162f417, 0x1ce77aae, 0x376a27e7, 0xe0b983b4, 0x66537cb5,
+    0xa8597182, 0xe3891249, 0xa8158c6a, 0x01b72082, 0xc4defd00, 0x4d57fa33, 0x953699c7, 0xc6751e4b,
+    0x1eebf2fd, 0x26df1002, 0xb12c4ac3, 0x256c3ee3, 0xf431bd2b, 0x6aee36fe, 0xde618217, 0x4f857733,
+    0x736f60b5, 0x0a6395c1, 0x570563ef, 0xabc106e3, 0x1bf04611, 0xf92a2c24, 0x77783890, 0x3811d3df,
+    0xac4ee56f, 0x19f26797, 0x2e301a1f, 0x37e7b4c3, 0x4344c2cb, 0x022a0d59, 0x4b3f32e0, 0x8d1842d9,
+    0xb6c17ed0, 0xffbd6802, 0x4c699e24, 0xb674d53a, 0x01983afe, 0x9ed863d3, 0xfe5454ad, 0x3d577ef9,
+    0x8e218f74, 0x290ed950, 0x8937b7f9, 0xd6cc954d, 0x285d80d4, 0xa2cd4125, 0xa9fcb90b, 0x10e09ea1,
+    0x8106bb5d, 0x6fd7f005, 0x796e4a59, 0xfbffdf89, 0x4b8365f2, 0xcf2e2552, 0x1b622d2f, 0x58d972fa,
+    0x9a8c24ff, 0xc8af79f9, 0x73c7d377, 0xbc6041cf, 0x94802589, 0xff2b7924, 0xe80e2a55, 0x917a821c,
+    0x393e6bef, 0xdf42799e, 0xf21db62d, 0x6499f368, 0x40c472f1, 0x68364273, 0x0c8f894d, 0x65cb8569,
+    0x4833c3cd, 0x6b7b8f57, 0xae118738, 0xe9403ab1, 0x6eda30a7, 0x55a420d3, 0x3271f36f, 0x722bf674,
+    0x584e5eb4, 0xfad0381b, 0xacbdaf19, 0xcdf5086c, 0xe8c01c2a, 0x82891e30, 0xf644f9f6, 0x2c5ca8b3,
+    0x74eebb20, 0x8bdc0499, 0x03fd5e0b, 0x511dd133, 0x79797500, 0x2e46a8cf, 0x150815fd, 0x12c47929,
+    0x41361805, 0x6ebea68d, 0x02aa96c0, 0x2ca7d33d, 0x8a7d5887, 0x47db075e, 0xd29ecfd3, 0x4622f001,
+    0xfeb1dee4, 0x9b6716bd, 0xef3ac053, 0xd973318c, 0x08347e68, 0xcbaa4d91, 0x542ec3ed, 0x22eb03f6,
+    0x002041a4, 0x06832375, 0xecd057dc, 0x1a4c0a3e, 0xb53e0d3d, 0xa0bf99c4, 0x6ca0e508, 0xfd25c28a,
+    0x7ee0f724, 0x0bebff39, 0x3c135c0d, 0xefd3703a, 0xbdb05727, 0x920e902a, 0xa4db2411, 0xc3c46c0d,
+    0x126f7ab9, 0x2a5f94bb, 0x6c147b20, 0xa7643b1c, 0x4609176c, 0x96923dd7, 0xa1438f45, 0x28faffa2,
+    0x149a22c5, 0x2657a776, 0x323dc7ab, 0x6576ef68, 0xfd4003bc, 0x4b0cca57, 0xf18cc339, 0x4fd0d9be,
+    0xbfe1f178, 0x9a09f72e, 0x4c3e218b, 0x801c9333, 0x1ec07342, 0x22fb0f69, 0x5e06bae0, 0xd14f4369,
+    0xbc310974, 0xe5c417e4, 0xc6be6bd3, 0x6bc2aaab, 0x0a9e02f1, 0xb6264aae, 0xb51e2aa1, 0x54a74dbd,
+    0x4fbbfa96, 0x97cec9df, 0xeaa86c69, 0x5296f914, 0x09122129, 0x2d7f24cf, 0xe1d3ce1b, 0xac6b5d7a,
+    0xb34fa6e6, 0x13f221ac, 0x6325d277, 0x3577bd63, 0x30c50f77, 0xd78e8925, 0x3ea4bc83, 0x9116b9bd,
+    0x951104a2, 0x1ce7ebaf, 0x420cc12e, 0x90f4884c, 0x35e946fd, 0x121047e1, 0x33228e3c, 0x4b7d6dea,
+    0x4b3ac167, 0xaddbfcd0, 0xdb64ac2f, 0x2e3b2f36, 0x7522e9bb, 0xf0497561, 0x08bff673, 0xa2a178e2,
+    0x9c25c156, 0x2388eeea, 0xc1d052b9, 0x6621c151, 0x4a3ddf69, 0xa5440026, 0x6bbcaa34, 0xc67ea4ae,
+    0xaeaa76d3, 0xa51a7bbb, 0x48e209f9, 0x7c7e3e4f, 0x3d5151bc, 0x10deef16, 0xe2a9469c, 0x3f819461,
+    0xddc07eb8, 0xbca8bb94, 0x5be99f10, 0xed569e86, 0xe5c00096, 0xabbf2175, 0x8097c1f5, 0x526661c1,
+    0x8a2e1560, 0x1cf55a7b, 0xd73f4802, 0x755597a9, 0xb7f0423f, 0x07c22232, 0xeedb5c0e, 0xd0fdce54,
+    0xd833c1a0, 0xdd870f70, 0xc75cfe82, 0xdd530ed6, 0x14e7f9a4, 0x8c91ab19, 0xabe81c3e, 0x6fd3b9fd,
+    0xc54f3e20, 0xe60f310a, 0xde216c39, 0xb3411c33, 0xd3bd0982, 0xa23cd613, 0x8423d310, 0xf1649e01,
+    0x52f6a009, 0x7f71201d, 0xecba7f1f, 0x47559e8d, 0xa05b9baf, 0x8d8f8237, 0x81454494, 0xb4a9d8d5,
+    0x987b7c40, 0x59318840, 0x3b028757, 0x76154555, 0xd8b95975, 0xed31dcfc, 0x8022a114, 0x9f80c206,
+    0xa1a2dac8, 0xc0fa93ee, 0x922224bc, 0x8ea4b3ef, 0xb22178a5, 0x34d1054e, 0xcf853f69, 0x16da2817,
+    0x04a8f41d, 0xcaea17e4, 0x412990ff, 0xb1592e73, 0xa1ead9fc, 0xc2fcd210, 0x036a0824, 0x4e6725fa,
+    0x40849b96, 0x5d189871, 0x2008dced, 0xb6ce5b75, 0x9d61cf59, 0x4b8bc490, 0x3e65caaf, 0x14158426,
+    0x3fc09ac9, 0x64b3b041, 0xd3b24237, 0x75ac93e6, 0x850dbe81, 0xbdafe345, 0xc38ef7d2, 0xa046da9a,
+    0xd1020dd6, 0x406baf09, 0x6f97e3be, 0x2a9cf2f8, 0xab52ed22, 0x6cd7b6fa, 0xc1bdd026, 0x55ae551a,
+    0x201ef327, 0xf765b9b8, 0xd0254d7a, 0x6cd902e3, 0xe66a52dc, 0x1c4dc557, 0xfada8730, 0x149bfa62,
+    0x04d92c13, 0x3aa57ba6, 0x2708903c, 0xe436082f, 0xc827aae6, 0xf43d3621, 0xb912fe54, 0xab0fcf8b,
+    0xa743337a, 0x9fd1f0a9, 0xaf63e70b, 0x5e244db2, 0x14d0e9fd, 0x7be4642f, 0x7cae672c, 0xb34e0433,
+    0x2d34849d, 0xce845819, 0x2325671c, 0x931f4be1, 0x24210586, 0xe2b5f959, 0x6547a166, 0xd62c174d,
+    0x2fbc3249, 0xa9b7a5a7, 0xe1dde69e, 0xbf654b8e, 0x57bbbf2d, 0xccdd1171, 0x6fa2ef6c, 0x59d1103d,
+    0xf849f11d, 0xc5c48f7a, 0x385f0cb8, 0x0bcbb662, 0x69f86b57, 0x85b17ce1, 0x63c7d04a, 0xabda87db,
+    0x0a4ec278, 0x11630c34, 0x800ba091, 0xef295930, 0x543018b5, 0xf66b20c0, 0xc98a84f0, 0xf513ef1f,
+    0x6aede626, 0xb16e4932, 0xc5411c6d, 0x48f523d0, 0x1e586182, 0xcd7fb6c0, 0x283a942b, 0xa60fe052,
+    0xdd6de0d4, 0x26d9ffec, 0x6e3ec39b, 0xaf96e81a, 0xfa95a8fd, 0xeb2c954c, 0x9c2df1e3, 0xf60304b6,
+    0x177ff18d, 0x622037a3, 0x553e2e99, 0x823cd0f8, 0x3b221ce3, 0x49725acd, 0xbaeb798c, 0x9a9c3d33,
+    0x34ca03b9, 0xec6daaf0, 0xf41a807f, 0xbf73ce95, 0xc549f8df, 0x90b8ad2f, 0xaee1942f, 0xf48a7e2d,
+    0x247d90e9, 0x5b46096a, 0x04855a60, 0x491fee3f, 0xb8249ed8, 0x2561e780, 0xec75f688, 0x6d7de955,
+    0x533f351e, 0xe2b44a4f, 0x456f44a2, 0x1baf3bd8, 0x6631f376, 0x3fd1cd13, 0xafb7a298, 0x5472ff0e,
+    0x85116246, 0xe6f51df9, 0xd19d9848, 0xd8b1089c, 0xfe7b6f94, 0x5016af01, 0xca1f22fb, 0x99e35e49,
+    0x17730280, 0x01f54e53, 0xe8e4d765, 0xc4c37b15, 0xfb1c9c5b, 0x83af32af, 0xe9354fa8, 0x17762123,
+    0xbc0e41a2, 0xf4d99d5a, 0xaa9a34cc, 0x27577913, 0x1fc0229a, 0xde05d31a, 0xd69a723a, 0xffbfb348,
+    0xc89af49b, 0x14f6fed1, 0x069f2670, 0x0722930b, 0x7a1e0414, 0x2dc04046, 0x725c5079, 0x99305e74,
+    0xaaa09f0f, 0xd4b42469, 0x6b4fe813, 0x563e5298, 0x2cdcf8db, 0x8ca2c789, 0xbb71af5d, 0xd390d0c1,
+    0x5660ab98, 0x6e0880d8, 0x0bfe1db7, 0xa2167b0d, 0xc5e2eb65, 0x8bf2bf66, 0x15cd3d29, 0x4d3fa8eb,
+    0xeb802478, 0x4211155f, 0x2ccd3aad, 0x14181b9e, 0x84026bdb, 0x34f57909, 0x158602a5, 0x3f4333ad,
+    0x5dc353fa, 0xce2f64f2, 0x6390f817, 0x75b105bb, 0xec821476, 0xd56ebe8b, 0x380de633, 0xfc812aeb,
+    0x910eb99f, 0xf1ce54af, 0xd4beae4c, 0x98ff4477, 0x68922725, 0x1f106839, 0xb5a58d86, 0xef22576d,
+    0xf00f8c72, 0xd1db2694, 0xf510cdc7, 0x3c85688c, 0x8957e97f, 0xcd15fbb5, 0x7e1c7b74, 0x8a7a379c,
+    0x0280a518, 0x383b8d67, 0xc9491946, 0x3185ba8f, 0x313cdd9d, 0x835e16bf, 0x6bad1f83, 0xcc110daa,
+    0xfd28c7df, 0x4d27b61d, 0x3e078329, 0x432391bd, 0x8f3b3200, 0x0b995b72, 0xf9b6ce30, 0xb2030620,
+    0x4b2eb102, 0x2b657ca0, 0xd145f1dd, 0x122191c8, 0x97158530, 0x2060cc60, 0x1b48081b, 0xbdd37cd1,
+    0xa6b887d6, 0x283ca16a, 0xdefae719, 0xe813e965, 0x46dc03c8, 0xae6599ca, 0x59ed60f3, 0x979d277c,
+    0xc619bcca, 0x47ac81f6, 0x9ee770bd, 0xefcb967e, 0x8287084d, 0x8c8ef366, 0xbfbba2e0, 0xc801f83e,
+    0x9b3e1228, 0x4fcfa4dd, 0x1001e88d, 0x91800826, 0xb61ba12e, 0x67783dae, 0x778d79d1, 0x0cb04906,
+    0x2079e71f, 0x650b20f5, 0x844ee257, 0x50028685, 0xa2b0c946, 0xfadbd054, 0x0a6180c9, 0x06b7657c,
+    0xef7eb556, 0x638dd532, 0x99b4e77f, 0xd60fd039, 0xf71b682b, 0xb68ab5e8, 0xab9770d3, 0xf91f3785,
+    0x159c3bca, 0xe366d3e1, 0xf51d9e4d, 0x2500e8e3, 0x540cc4a3, 0xe05d1e45, 0xdf260f91, 0x700c8752,
+    0x699cb856, 0x9dd7b2bb, 0x95a09af7, 0xba601598, 0x40c68cc0, 0x2f308897, 0xd05cbf33, 0x4599e072,
+    0xeab79692, 0x23fb89ab, 0xa338b86c, 0x5b909477, 0x7a289ca6, 0x86f910c7, 0x091f88e4, 0xccb711f1,
+    0xcbb22fb0, 0x60fed597, 0xfdda5a88, 0x25e8bea4, 0xede1b0f5, 0xe5c66e30, 0x7702c218, 0x22e26f4a,
+    0xc4019ecf, 0xe3446574, 0x2bc55fab, 0x303adc71, 0x304b9dde, 0xbb7a6097, 0x7ecd90f6, 0xeabac593,
+    0x1040a0a3, 0x9c5c3f68, 0x8c741586, 0xa809f623, 0xf80f69fe, 0x66659ba1, 0xc70c8283, 0x632a2943,
+    0x0c6f8574, 0xe2cb5ce5, 0xb60c0d90, 0xc73f33a4, 0x84f869e6, 0x734c2f1c, 0x95e1ab9f, 0x3eb3a204,
+    0x02e189d8, 0x7b476749, 0x7640a91a, 0x5d3c7162, 0x2a91bd98, 0x44bd3e6f, 0x7334056e, 0xb1aa701a,
+    0x25225eec, 0x9e6a0824, 0x24e55b13, 0x95dcb2ec, 0xb23f202a, 0x2eb12d7b, 0xb3623347, 0x19d4c71d,
+    0x6d0ff3f7, 0x5a313f91, 0xfc10454b, 0x233048f7, 0x94aceca2, 0x67d6a903, 0x160e32cf, 0xef04eaca,
+    0x9f17a3f5, 0x3de18b73, 0x5a1936fa, 0xf14c1b7a, 0xf9af4fb7, 0xa134b93e, 0xfc6306a2, 0x2510a7d7,
+    0x3a15a1c0, 0x490c21d4, 0xe455a47f, 0x59c11d40, 0x9440e82c, 0x263148fb, 0xbdb09bf9, 0xd6a9b66a,
+    0xc6dfabb8, 0x3f972d67, 0xdd0517fb, 0x32f72cf7, 0xcead6434, 0x659591f5, 0x864e1b2e, 0x5c57018d,
+    0xfb33d48d, 0x844bc3f8, 0xf28b7b72, 0x0876c723, 0x5474eedc, 0xa68700cb, 0xb774875c, 0x08a3376c,
+    0xe669119e, 0x801dc425, 0x8cd92850, 0x5cad17a7, 0xf5e483fd, 0x80ae9a21, 0x962f8c07, 0x9ff05845,
+    0xbb82fe8a, 0x60533c90, 0x8bf0fee6, 0xccf5a93a, 0xc01b17b6, 0x0123c51a, 0xb7856a6c, 0x58c63330,
+    0x413e1d6f, 0x030c6644, 0x2d96a963, 0x4ce31521, 0xd0539378, 0x9048aa24, 0xeab1aeae, 0xd4b5c4b0,
+    0xfe1bd44a, 0x7e0892b0, 0x904f34ef, 0x7a8e2984, 0xcc603af1, 0xb35b92f8, 0xe4193852, 0xdfd103bf,
+    0x44c2efad, 0x5076e0a1, 0x1463f100, 0x9ee7ead0, 0xe25360f4, 0x79be55f5, 0x80cb2735, 0x24aa97cb,
+    0x83c10078, 0x191b95d6, 0x402d9d6f, 0x91484f82, 0xcab5fc7b, 0x00fea2b7, 0xca66dc45, 0xf74bc4fc,
+    0xf6339d73, 0xee58ae00, 0x6e3d9bab, 0x389a1088, 0xe969c034, 0xc8c7b464, 0xae33e536, 0xf17060c0,
+    0x9f9ed001, 0xdf7b21db, 0xef6034f7, 0xa14a071e, 0x304ad4a3, 0x4adc5047, 0x9a8518c0, 0xc5f52c41,
+    0xf61c3c75, 0xa2f8211f, 0x12d09829, 0x8781c23f, 0x5946fb60, 0xe6bada2c, 0x1e543f10, 0x1aa6ccf2,
+    0xb8460609, 0x91aa7ee6, 0xfc6834f4, 0x716f744b, 0x162b4227, 0x6df2187d, 0xf6785980, 0x661038d2,
+    0x8dc2f73f, 0x6c6f87ac, 0x12568a8a, 0xda5f20df, 0xaf6e8808, 0xe5a2bdd9, 0x0864ad97, 0x21851f20,
+    0x79d113b8, 0x1a73ef0f, 0x0fce92c9, 0xfeba9b37, 0x1764aab3, 0x6cf739e3, 0x0dd75041, 0x4d2be4d4,
+    0x50091e85, 0x481cd1ce, 0x5f9764b0, 0xfe27c3d4, 0x674c2d8c, 0x8310bc11, 0x13c235dd, 0xcf9397aa,
+    0x2fb09fa5, 0x08b2090a, 0x1286c8f1, 0x061ed76c, 0x1a665281, 0x70af3c01, 0xde2366ac, 0x2050752d,
+    0x800dac25, 0x4d4909ba, 0xa0ad03d7, 0x6c33d319, 0x06d5b67d, 0x4b777b8f, 0xce4c8ef0, 0x325311cd,
+    0x276f5682, 0xea16edc8, 0x9962c2b5, 0xf48a150c, 0xcf6739ea, 0x0127ebae, 0xac3f6e87, 0x58c45385,
+    0x14b2d925, 0x2e7127d2, 0x61074bdb, 0x4194cbc3, 0xe12122e4, 0x8aa402c7, 0xad66ce82, 0xbacf131f,
+    0x600502f9, 0xd903dd72, 0xa6b9c995, 0x2ad2fcdf, 0xaf08848c, 0x5dc516a8, 0x5ccbcf45, 0xa26857e7,
+    0x00000000,
+    0x3715fc91, 0x34f0979a, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000002361183241434822606848 */
+  { 0x00000000,
+    0x82ff83a7, 0x6c95749d, 0x8e1580e3, 0xc5aac47f, 0xc72afac9, 0x5ec78106, 0x433568a6, 0xa7073298,
+    0xe7a16bb5, 0x1b406aef, 0x4c05a6fe, 0x9bbc9e1e, 0xaa8ea94a, 0xbf95590c, 0xeaf49e76, 0xb9690d02,
+    0x547d99a3, 0x10642d58, 0x69f70ad6, 0xede4a1e1, 0x83799a65, 0xefa235cd, 0xcbcb9606, 0xc8ae1cbb,
+    0x5d74d1c7, 0x978763d0, 0x57ac2a29, 0xd317e90e, 0xffe11ddb, 0x09e700ce, 0xaffb4998, 0x3af676bb,
+    0xd1796eb4, 0x2092c74a, 0xc079336f, 0x90041042, 0x85d0c428, 0xbc6dfa53, 0x2e4ec8bc, 0x371c3dc1,
+    0xc2c876d8, 0x03f34088, 0x03750d70, 0xd34ea66f, 0x9224dadb, 0x28db4221, 0xd960c150, 0x231264df,
+    0x79131afd, 0x892fbe5e, 0x9fb91d45, 0x4ba879c2, 0x358e6caa, 0xae9b57a2, 0xae92169a, 0xdc2a8c8a,
+    0xdb75ed03, 0xd0b0c1d0, 0xe8fef3df, 0x8a951f3a, 0xd827d480, 0x57e80aed, 0xf17d01bc, 0x6b078a8c,
+    0x3e2e54a5, 0xd2160165, 0x0239e1e7, 0x79deda34, 0x5c464998, 0x4fa2ec82, 0x5234a0f5, 0x70f77c93,
+    0x65beff5c, 0xc4a8c512, 0xb2b84ba7, 0x0cfbbd6e, 0x0a7bdd4c, 0xeeaa7e78, 0xfda69644, 0xcd2addb8,
+    0x2032e1df, 0x5d9daa19, 0xfec4a683, 0xb5b88879, 0x8b2d7577, 0xea3c3a7f, 0xe61f3053, 0x1d810225,
+    0x25ae4444, 0xad64868c, 0xd52e4750, 0xbcb3756b, 0xbadbf39d, 0x9b2fed5b, 0xd1ec330e, 0x8bfca1c5,
+    0x996827f8, 0x4b96a2de, 0x2d106771, 0x2556c2fb, 0x06e9260a, 0x916900b1, 0xab345027, 0xca81b236,
+    0x7d7cf9a9, 0x1eb1183f, 0x4f1daf97, 0x35c0fb31, 0xd86c59bf, 0xd940ec29, 0x95ddea25, 0xf8a39833,
+    0xaa572d18, 0x76bc75e9, 0x694476d7, 0x7fcc2c28, 0x4436e9e7, 0x51f347a3, 0x714f95ed, 0xed99a654,
+    0x68d25400, 0x710a6b5d, 0x622bdf80, 0x69f3b752, 0xd549178d, 0xfae6e224, 0xb08a8ff8, 0x92408fea,
+    0x1d46c32d, 0x64f18645, 0x1c7de8bb, 0xc0db0fe0, 0x1b621e47, 0xc5f883f6, 0x48a5a795, 0xf3298ab6,
+    0xbb06dfec, 0xc2664a52, 0x7ed6bf45, 0x4a6b4cc1, 0xdae14269, 0xc1fb05a3, 0x4da4dff9, 0x4f428832,
+    0x20421464, 0x6363cdb3, 0x04d16d50, 0x36939d2e, 0x03a10b02, 0x5b007faf, 0x5dccea5b, 0x26104467,
+    0x11575d01, 0x5fc5285c, 0x4da1a73e, 0x95dc85e0, 0xdfc777b1, 0x21315eb0, 0xe5c30fd0, 0x6f24f19f,
+    0x7ccbacd4, 0x3751170e, 0xdc209eee, 0xa4e44cb8, 0x7d250b04, 0x709a4ee5, 0x63072f5b, 0xd4acbffd,
+    0xcb1e8186, 0x58244733, 0xe7f50e03, 0xfb0c2c67, 0xd073f031, 0x7c7720ae, 0x682d6d64, 0xae5b5e76,
+    0xac493dc0, 0x98f179e0, 0xd1396f40, 0xf3089cbc, 0xf75a613c, 0x009c46f0, 0x090fd193, 0x2f588700,
+    0x405666f2, 0x2103d24a, 0x151c41c3, 0x24024897, 0x34e30331, 0x4c020f2c, 0x663ee86c, 0x899e7645,
+    0x1097d673, 0x41172ae7, 0x8dca72f8, 0x1f6f72a0, 0x363545f5, 0x10cedca2, 0x8f497822, 0xefad6e24,
+    0x706faaeb, 0xe996243f, 0x0c2d47e1, 0xaaec1d19, 0xdd5d5660, 0x696a5c31, 0xfa96c761, 0x1e17a9e6,
+    0x73eb6919, 0xe61389ac, 0xb8bea0a0, 0xc0454e31, 0xd7dc0f61, 0xe8bab0e3, 0x03810599, 0xfb26662e,
+    0x0d8dc99c, 0x8bbf1ee5, 0x1fac79dc, 0x834740e3, 0xe1ca5cf0, 0x5a4eaf99, 0x1edfd924, 0x63826e61,
+    0xcf5c37e5, 0xa776363c, 0xacc702d5, 0x9c0927e0, 0x337dc27e, 0xc47090ab, 0x335cf9c0, 0xb8ae427d,
+    0x39dcc541, 0x3db79d52, 0xf51deb11, 0x4c26bf14, 0xee60fbd2, 0x83fce4cc, 0x14b25224, 0x07072ed7,
+    0x2c2519e5, 0x8c8194eb, 0xadd28476, 0x4a8f2749, 0xa78105d2, 0x9bd3e468, 0x0c2e4bd9, 0x2a1ed886,
+    0xf0139666, 0xe7c3a2ae, 0x5d2945ca, 0xa5161ce3, 0x2c35892a, 0x0c941e1b, 0xcef1f75d, 0x8443c87d,
+    0xbca76fdd, 0x79858191, 0xc90e3474, 0x9345a9bc, 0x939ff5f6, 0xc76766d5, 0x83d79c35, 0x8a815116,
+    0x93d0db50, 0xdab9c98a, 0x705f3515, 0xda20f236, 0xe0963fb7, 0x48b1fc0f, 0x56ac329f, 0x573c00ca,
+    0x21932309, 0x14e49495, 0x055fc568, 0x6a88bdc8, 0xd875893a, 0x3f823487, 0xe648eb7c, 0x2f6c1042,
+    0x3a85e689, 0x6368284d, 0x1d7dbdc9, 0x6a4bad6f, 0xd228ea6b, 0x6591a4e3, 0xab8e12a9, 0x37fed3b1,
+    0xec071b26, 0x9fae79a7, 0x5c764f70, 0xce897f92, 0x17c244d7, 0x2a3ec650, 0xded5d77e, 0x281478a1,
+    0x891357ea, 0xc90b01b0, 0x19b95562, 0x1718852f, 0xab46fdbb, 0x50e04772, 0x7b7499e6, 0x71e389e2,
+    0x9a78c75c, 0xa41e39d2, 0xbb7488a3, 0xb10ed942, 0xc588ba56, 0xed146ad0, 0x9a5aad01, 0x09224db1,
+    0xae943b76, 0x92e249a6, 0x58d6893c, 0xff3b76c1, 0x253e5f15, 0xaff7e824, 0xf1cd62fe, 0xdd32d732,
+    0x92bde468, 0xa2fba370, 0xef5f4f44, 0x40d3695a, 0xed2f5f5b, 0x6a3adc3c, 0x143b290f, 0x7e6888ff,
+    0x82727d3d, 0x23dcda39, 0xba0e121f, 0x8748da41, 0x780c0763, 0xb5743f8b, 0x094c5e56, 0x541b9e72,
+    0x78259084, 0x62a5662d, 0xbcb69c44, 0xbe875795, 0x90e7911c, 0xfaac342b, 0xfd0b9616, 0xd38e7abc,
+    0x64021eb8, 0x81e6fad2, 0x90703cc6, 0x3f2ef211, 0xee9878e4, 0x648415f8, 0x56227f7b, 0xaa096ff4,
+    0x0e08662a, 0xa6ddced5, 0x378d6a8c, 0x475d805f, 0xb5344f80, 0x4fed8ae3, 0xf0c90db3, 0x5915a982,
+    0x1f4750e6, 0xd5c39e45, 0x67e8ed8b, 0xe02bcd5d, 0x58e651ef, 0xf682e527, 0x27f9324b, 0xe49f3b8c,
+    0x4247813e, 0x1e99981e, 0x738e5774, 0x549a9a5b, 0x1b410a58, 0x3fb1dc11, 0x9d2a9e74, 0x0db1806a,
+    0xa42536b8, 0x636e6796, 0xc1586d5e, 0xc09e6927, 0x6d049a00, 0xbc27cb9f, 0xc9fc81a6, 0xb52b14b4,
+    0xa64afe02, 0xaacac5c2, 0xb3edfdf8, 0x061e07d7, 0x25202752, 0xe135ddc0, 0x5c58f9b7, 0x7ca0d24e,
+    0x174ff296, 0x829fb001, 0x165aeffa, 0x264b748a, 0x4d604841, 0x7f1e3c7e, 0x457f4cef, 0x9dccf52d,
+    0x9bc49f65, 0x6906fc11, 0x0407cac6, 0xf181b0cc, 0xf5ee8e2a, 0x2cdbb1d5, 0x8dcdcd27, 0x0a4b77d7,
+    0xbada97c6, 0x618342c8, 0xa33ff228, 0x24d8e897, 0x2e3adbb3, 0x615174a3, 0xf489f4db, 0xf66e535d,
+    0xf96111f9, 0xa8db0fef, 0x5573bbcd, 0x87d257f9, 0x8c538f0a, 0x32b7b3ac, 0x8c490789, 0x6ba2d4d1,
+    0x79e86c49, 0xcb8ae71e, 0xe7751010, 0x9bba1572, 0xfbdd0792, 0x674996c0, 0x51a11b46, 0xa20ac391,
+    0x72d0b340, 0x9979849a, 0x8f60c375, 0x341b873c, 0x7c914551, 0xfc9ea50d, 0xab8fd411, 0x4acfa670,
+    0xea36b7c2, 0xd09e375c, 0x554c9330, 0x2cce59ed, 0x12311ae6, 0x7a1cf983, 0xd10d0056, 0x6de3574b,
+    0x43e0abb9, 0x6ff7bfab, 0x68ab14dd, 0xb5973de9, 0x87cabb40, 0xaddb57f2, 0xe8597c67, 0xe1465ec1,
+    0x8e9ae029, 0xc0abe407, 0x74e8edcd, 0x5810b62b, 0x02464da0, 0x59935264, 0xcf7c9170, 0xe3a047dd,
+    0x0f48e4ff, 0x2eaf2371, 0x999f1da0, 0xeac5f2fc, 0x547a8af0, 0xb52e2fea, 0xf13c9280, 0x6778f0c3,
+    0xb49de323, 0x9a52da64, 0xec727ec1, 0x9dcf09a7, 0x58d27c7d, 0x7a1269b1, 0x36608be9, 0xf1992077,
+    0x568eccd3, 0x4bcf564f, 0x1d0d2985, 0xc54572f9, 0x47fe5063, 0x579416d3, 0x1f9230a7, 0xdb6c3acb,
+    0x86c1b9c5, 0x5ea10f7d, 0x7a71b2c0, 0xc0610c75, 0xe7d06e2e, 0x2d756207, 0xf07b0e08, 0x840371e4,
+    0x563798f5, 0x7c54511b, 0x26b58709, 0xa68f5c8a, 0x27515439, 0x2aa71bcd, 0xa2a99f3d, 0x07db5ccb,
+    0xf2ce7507, 0xfc3d6301, 0x617c4276, 0x2d8238b2, 0x899bb814, 0xfb703c9c, 0xef855bf5, 0xc043f43b,
+    0x4c15d5b1, 0xb04cddf9, 0xaaa658c1, 0xc2663ca8, 0x07322cfb, 0x3437592f, 0x1329dad7, 0x1ca52448,
+    0xd106c583, 0x3ce03c0a, 0xfdcb32f3, 0xb937f981, 0x25e0ff5d, 0x87f61473, 0x7a8e994d, 0x11e32ecc,
+    0x7848e3d6, 0x477c545c, 0x02364376, 0xd00f6088, 0x54c0642c, 0xf26bae89, 0x3bf4ef20, 0x3595096f,
+    0x7a04d66c, 0x98e25952, 0xdbf58d1d, 0x996a4360, 0x3b01b2bf, 0x84ccc8dd, 0x33b9fed8, 0x2285d497,
+    0xe279e7ed, 0x563a51ef, 0xc67e004b, 0xdf3d1f9c, 0x488666d0, 0xd6c4b39e, 0x198e4350, 0x27e26fad,
+    0x56983996, 0xa0f4fbfb, 0x28494bca, 0x17b1c253, 0x61e41055, 0xb156d379, 0xe164b38b, 0xdd60d963,
+    0xdf349a75, 0x2fef7005, 0x8b50119b, 0x8bf0f08a, 0x9a023744, 0x17c7e18e, 0x82e5a28c, 0x41fe2bcb,
+    0xdfacb571, 0x54c9b3fe, 0xa2ec867b, 0x42ce78b8, 0x68b3409b, 0xba0f334c, 0xb9dd8f29, 0x0b660f60,
+    0x5a358e6c, 0xf9efde87, 0x76211c3b, 0xdfb0c496, 0x9c94d405, 0x56474040, 0xafc8bbc2, 0x2d5183b3,
+    0x1411b329, 0x141cf731, 0x38505365, 0x4a6c7370, 0x7b732414, 0x38cdff80, 0x03603169, 0xf7b96fd0,
+    0x0f0b38f9, 0x6ca825bc, 0x587a2500, 0x9edb7839, 0xec9b045e, 0x7bc2a89f, 0x444fc9d6, 0x461c67fd,
+    0x8a6f2e48, 0xbf00585b, 0x7c26a82d, 0x71e56b00, 0xbbf6b895, 0x03810886, 0x2b0ad552, 0x24397bfa,
+    0xaa1db29f, 0xa4305cb1, 0x34ce06e2, 0x73037834, 0xd8acd2f7, 0xe7693560, 0x8bd29449, 0xf5eb2d2d,
+    0x86c40543, 0xe93b2a45, 0x89a5f0d4, 0xa08bfa89, 0x55812920, 0x4ffed6d7, 0xe8a31e73, 0x9c9225c0,
+    0xfcd356e8, 0x658cea43, 0x00a64c0e, 0x0c3e06c5, 0x83760931, 0x66689edd, 0x8201cdb7, 0xa079c643,
+    0xf0a46d33, 0xa94a3cbc, 0xce6d66c4, 0xfa57a7cb, 0x23c3062a, 0xe3a24eab, 0x0625d9c2, 0x09b1581d,
+    0x87532112, 0x3be0398b, 0xd37812a7, 0x358f6c5f, 0x2862b5ac, 0xd47d4faf, 0xd71c76e6, 0x8ccaec3c,
+    0x9bfeb534, 0x2d634101, 0xc59d4ee6, 0x68b6d406, 0x9870813e, 0x7145f98d, 0x18c92166, 0xb17c643c,
+    0xa31d4cd4, 0x9419c0bd, 0x4d9b301c, 0x9831ecee, 0x79113e1a, 0xbc8d1595, 0x616659dc, 0xc5e55356,
+    0x6573b354, 0x2370622d, 0x4788e058, 0x15561f54, 0x1752d501, 0xf6397266, 0x09b2791a, 0x446b465e,
+    0x4a248046, 0xd29508ec, 0x630b3075, 0x5417586d, 0xf6a393a6, 0xf3cf59eb, 0x7a39beef, 0x5a570c48,
+    0xf39bd09c, 0x4ff23b57, 0xcaf7bfca, 0xca3872b9, 0x765a0782, 0xe84db54c, 0xa862abd3, 0x2ccb3c19,
+    0xe304f738, 0x580efc66, 0xea30db39, 0x16e16c2d, 0xed3d5b4a, 0x64812d6a, 0x18eb3614, 0xb1bd0e55,
+    0x7632e317, 0xabcadb42, 0xb5a706ea, 0x8eace509, 0x5c0044ca, 0xa957d4a1, 0x85eb1db7, 0x8dd6ad6e,
+    0xbe8e26dd, 0x5fa3130d, 0x8bcace2c, 0xb5481b70, 0xac0e2500, 0x329b9004, 0x89b289a3, 0x66190f87,
+    0xcc56b731, 0x876aebb9, 0x205f9bc8, 0xcb53c83d, 0xcb6e8715, 0x73effff5, 0x715f4491, 0xca64c8fd,
+    0xbefb14de, 0x570a3b79, 0x4ba8c859, 0xca1d0c20, 0x7827a202, 0xd24f465e, 0xad760328, 0x33ce59a4,
+    0x3a08ec25, 0x0b0f84ec, 0xd2e86a10, 0x36b0a103, 0xc8a6e8c2, 0x9a4bcb34, 0x10b36a50, 0x07f2c8a1,
+    0x156d22f2, 0x6571972c, 0xd36858c3, 0x99b38fa2, 0x889cfec3, 0x8ce25c2b, 0x18474497, 0x62b59131,
+    0x9b59744b, 0x32448c33, 0xd07acab6, 0xea9fbf12, 0x76f3ccdf, 0xf9acab31, 0x7b429143, 0x4bdf9f8b,
+    0xeb1992ed, 0xba9c68e6, 0x83c81b80, 0x788fde19, 0xd96294f1, 0x06b32e18, 0xf631fa5c, 0xd73747bc,
+    0x0ee465f1, 0x130977eb, 0xf71d0bb9, 0x506bfe61, 0x6cb8303c, 0xa37ce5cd, 0x9f3aa724, 0x1c9b30f3,
+    0x21559348, 0xa195803b, 0x3c2a7bc9, 0xae12d392, 0x82b7ee6a, 0x9d5188d7, 0x16dce2ae, 0xcf8935aa,
+    0xa85a303e, 0x76656f1b, 0x015df443, 0x9794061d, 0xb503d0aa, 0x646a0999, 0xe7f3e013, 0xcfb25a72,
+    0x0d8a6a46, 0xff9015b0, 0xa2b5dc37, 0xe01d09bc, 0x3dfda26b, 0xf27105de, 0x54c73aaa, 0x43c2b7b4,
+    0xdbf9ba35, 0x33d9c10f, 0x2594b268, 0x08a12876, 0x7d59d22c, 0x4d92a7a4, 0x95667fd7, 0x829512a1,
+    0x1cc153da, 0xd9da8078, 0x849df6df, 0xac17580a, 0x4a8cc650, 0x72141ea5, 0x46d79a42, 0x272102f8,
+    0xfb637a28, 0x49350001, 0xcdbdf5f6, 0x9974ae5b, 0x9b3418ea, 0x7cde0a25, 0xc2f290cf, 0x86abd2eb,
+    0x41dc2880, 0x838a87f4, 0x52d53f2c, 0x48b6b003, 0x41438324, 0x9059bbde, 0xb19a04c5, 0x959b7ea5,
+    0x73ecf59e, 0xb2c1513b, 0x81fc7d22, 0xf99cd072, 0xbe4d301c, 0x6bc55e07, 0xff27f771, 0x2bc2d61a,
+    0xf0c32466, 0x606b3db6, 0x6c4a4ae6, 0x08c6e4a2, 0xccbcc3c3, 0x93c6b9fd, 0x9f41af32, 0xa08801a5,
+    0x0d0af8cf, 0x99b7ca4a, 0x9d09eadf, 0xd558847c, 0x546deb37, 0x24c149fd, 0x62656f2d, 0x1eb869d3,
+    0x146f98e0, 0x0e8eb363, 0x1204702a, 0x52890aea, 0x169db085, 0x23b0d2c1, 0x9ad3dc6a, 0xcb94ac66,
+    0x2ea96b6c, 0x336f1876, 0x44c269dd, 0x4d2e4bcd, 0x30e447a3, 0xc3a0499d, 0x495691d8, 0x4cde796d,
+    0x232ba602, 0x5cdc61ca, 0xb3989695, 0x2ee0250c, 0x93d89db5, 0x423dae1e, 0xd48d1359, 0x4c3d36f3,
+    0xccbaf435, 0xd6361d7a, 0xad3898a1, 0x93c30778, 0x029ad660, 0x06901dd6, 0x90ca10d2, 0x2ff85be4,
+    0x87098e53, 0xf380bb2e, 0xfda173a7, 0x7897b80e, 0x97fd1004, 0x4e8a8c7c, 0xe9753671, 0xff57785b,
+    0x7eba22ac, 0x303ebf7c, 0x455624c3, 0x55971725, 0x95be2c3c, 0xd3c86db8, 0x5478f726, 0x3fa68683,
+    0xdde091cc, 0x1009acbc, 0x694df60a, 0x7cb7dbf2, 0xec23e111, 0xe4287a11, 0xea6f39a7, 0xfd9c1c74,
+    0x2fdc2533, 0x5ceae7d4, 0xfac823cc, 0x050e59aa, 0x9574bd34, 0x49016111, 0x00602a3d, 0x8bf1e4b3,
+    0x418b26bd, 0x390af19e, 0xe8910190, 0xa9ba532c, 0xca366a44, 0x8fb280fc, 0x66b3a637, 0x18b6eca0,
+    0xe38e0f04, 0xb718f1c8, 0x6a0b2b4c, 0x092750c9, 0xbd83654b, 0x4662ac35, 0x0baa907f, 0x6ac99c17,
+    0x66f0346a, 0x87370362, 0xda862daf, 0x81affaa4, 0x1845aa7b, 0x9cacf3dc, 0x268b8f42, 0xf143f14a,
+    0x1b51917a, 0x0b972b15, 0xaa39efd5, 0xd208e4c7, 0x0280fe6f, 0x87ec4788, 0xd6984224, 0xfc62a8cb,
+    0x8b669c7e, 0xcde69df7, 0xf6b98773, 0x78e3b67d, 0xf0cc769d, 0x0acfe3af, 0x45b8b691, 0xc4f8ecd3,
+    0x0c83e368, 0xe21b9669, 0x6ca57546, 0x87e6c672, 0xdf12f0ad, 0x2943a09f, 0x677cedd2, 0x33cb4d53,
+    0x0b3c8d17, 0x933d76a2, 0xa0278158, 0xbf849af7, 0x95a259ac, 0xbe80baf3, 0xed8c2e05, 0x26cc43ec,
+    0x8c758aa0, 0xaf4bea67, 0x927a5a91, 0x9782c07d, 0xbfbcbca4, 0x84c79868, 0x2bd017c8, 0x0d12a24a,
+    0x2e99bba9, 0xf12ac457, 0x9df4cba1, 0xa9fd331a, 0xa27912c1, 0x1c56c324, 0x2d69a392, 0x8b604690,
+    0x60305765, 0xd1411859, 0xc520e23d, 0xcb683ce1, 0x7aefd763, 0xd4e9eabe, 0xf5890e34, 0x21c256d5,
+    0xc48909cf, 0x6e84920f, 0x42b68553, 0x25b7bde5, 0xc76e01bc, 0x9491c1c2, 0x9eb8300e, 0x1c68c5bf,
+    0xa13aeaaf, 0x3a36752a, 0xf6bc47fb, 0xd4ea0c5b, 0x6acc6be6, 0xe726d28a, 0xc8c89350, 0x902e587f,
+    0x00000000,
+    0x1b8afe48, 0x9a784bcd, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000001180591620717411303424 */
+  { 0x00000000,
+    0x1729336e, 0x035efd58, 0xcc44a6f5, 0x0fb243ca, 0x64886fad, 0x27be69af, 0xcb7bb511, 0x271da922,
+    0xe4ef6c0a, 0x78b2b71e, 0xfedd0b56, 0x748b06ac, 0x817b236c, 0x8018771e, 0x8434102d, 0x2aebd167,
+    0x81986bb3, 0x02a24a95, 0xf0660490, 0xd318f090, 0x61b6b5ac, 0x96d4b8b9, 0x62270702, 0x0cebd34b,
+    0x2887a21b, 0xe6435f6d, 0xea24b2da, 0x12fc91f9, 0x419a9478, 0xf91cb242, 0xffed8630, 0x498ec2af,
+    0x5bec1381, 0x57be4134, 0x1262fdfc, 0xedb92a3a, 0x9ad16d1c, 0x58b78a4b, 0xc3a1f877, 0xd694c97a,
+    0xf6e774fe, 0x227bb87c, 0xeb7c9590, 0xfaa4a236, 0x16bd34f8, 0x9e20f102, 0x0529a70b, 0x0e4a2014,
+    0x1e921b8e, 0x194d27b2, 0x72e5cc79, 0x3397ea54, 0x508cf8d0, 0x1fb45d2f, 0x18a0acee, 0x51832841,
+    0xdb7c20d8, 0x3fd7f510, 0xc600b224, 0x0e169771, 0x5ab29fb0, 0x97d88df9, 0xb1e535b4, 0x08938b8c,
+    0xdae031c2, 0x3ccec4aa, 0xf3a90498, 0x72f3c5d6, 0xb3a655cf, 0xfa4329b2, 0xd93d6a1b, 0xd86445e4,
+    0xba6e3235, 0x0d6d3603, 0x8764ba62, 0x3f8cefc9, 0x26d43abb, 0xcf13283b, 0xd52578c6, 0xfab03e9b,
+    0x22206b1c, 0x222d4018, 0x4f154bd7, 0x96004987, 0x000610b1, 0xf51f9746, 0xbe14f267, 0x2c89b263,
+    0x95c0dd7b, 0x601abbac, 0x6617224d, 0xd4c997b9, 0x14c6b0ce, 0x571ff537, 0x29719d4b, 0x555f9c68,
+    0x55a03160, 0xa71891cc, 0xdefb0c2f, 0x2a319ee1, 0x72e3abca, 0x57c53f41, 0xaa527e85, 0xf6d17fe6,
+    0x3e97cd8a, 0x268c4dd7, 0xf376edaf, 0xb20fdf5d, 0xbc2dc004, 0xd72a7c36, 0x618ad08a, 0x497da41f,
+    0xc042c1a4, 0x18876452, 0x472ad5f9, 0x019c599d, 0x9f0be5ed, 0x1b07db2b, 0xaca9aeee, 0x8b43ecad,
+    0xee3e03ed, 0x3cd2f33c, 0xba583a88, 0x9281acbd, 0x85efadf2, 0xc9fb5ba9, 0x4bd53b87, 0xdb4bc3ac,
+    0x90abe0a0, 0x2c44e8bc, 0xb9e47e95, 0x53ddd186, 0xa7408bd1, 0x6ded292a, 0x85e8787c, 0x5e5b6e25,
+    0x0bad4d49, 0xd181ea2f, 0x7b1c5666, 0x9ef2bf28, 0xa5179f81, 0x41b41487, 0xcf5853c9, 0x457c93a1,
+    0xd117aec4, 0x84a705c0, 0x50ebbfce, 0xae29ecc2, 0x1eebe3e2, 0x79c8bbba, 0x78abd2ec, 0xbb81d7de,
+    0xe4dcd9a0, 0x23848921, 0x5ac50e8a, 0x94bfa9bc, 0x3dc7563e, 0x0ba71cf6, 0x7776f940, 0xe3a272cc,
+    0xfa2a3ceb, 0x0d6bafa2, 0xd74a7853, 0xea2dc14b, 0x071f1d22, 0xd96bb272, 0x9848e2d5, 0xfda718b7,
+    0x21c790e7, 0x29911b64, 0x0a7a4494, 0x7be7a78f, 0x862e5555, 0x87df26d1, 0xb08e175c, 0x23c0a63d,
+    0xfef3d244, 0x59dec56a, 0x2798616f, 0x4c00afe0, 0x9be03481, 0x7a085f14, 0x8ebc9d9d, 0xc3282ed6,
+    0x2f2c6a26, 0xe2bc840b, 0x24d261bf, 0xbedcd517, 0xb0ec9f58, 0xf01db018, 0xf9d7a942, 0x43de19e6,
+    0xb27f032d, 0x1e41d360, 0x1523decb, 0x42168abe, 0xe3a50d72, 0x2193ff59, 0xb368c649, 0xdeb813aa,
+    0x4ceff7ff, 0xeb2262d6, 0xd9e22823, 0xec118b0a, 0xf077437c, 0xf01e76d3, 0x1b6f6adf, 0x4a7f292a,
+    0xca989748, 0x70d3972b, 0xb188b0f4, 0x1a156f40, 0xe7b0d607, 0x358e99f8, 0x51da8d9e, 0x5dcc5cdd,
+    0x8cbf42ea, 0xac0c4ebd, 0xfe997610, 0x4b8a790a, 0x82922f31, 0x0561c432, 0x2f9201fd, 0x784bbd15,
+    0xdd003aea, 0x9247537f, 0x02983630, 0xc108628d, 0x7069bc08, 0x38067963, 0x57e547ed, 0x6a50924c,
+    0x962f224d, 0x4f0980c2, 0x2a6a48e1, 0x81fa602f, 0xc53674a8, 0x24f5bccd, 0xbb14f1a1, 0xa6975f0d,
+    0x4d703145, 0xeda12d24, 0xff23aaff, 0xbab50756, 0x5838f8db, 0x6db8e488, 0xa943febd, 0x43b4eb12,
+    0x9b64b048, 0x0959a9dc, 0xf53d98e1, 0xbf930ca2, 0x96bf2808, 0x08259a53, 0x79129bcb, 0x447c2da6,
+    0xbb5fc22c, 0x30141fb0, 0x2ad71f2f, 0x8196f282, 0x99cfa52f, 0xfcb596e2, 0xa8a09077, 0xe4469dbc,
+    0x890e0128, 0x9f5971e5, 0x85c35217, 0x54ddb476, 0xa7976bcf, 0x84dfd01f, 0x7af552d9, 0x1ff52690,
+    0xdcc7049c, 0xa71f3df4, 0xaf0e3088, 0x0ecea915, 0xe55aac26, 0x8063a742, 0xc1ac4f3f, 0x47a42b76,
+    0x7f5b1aa3, 0xdd000b36, 0x395e4cfb, 0x54b1a1b6, 0xb91f6c9d, 0x3afdcc12, 0x622ddd44, 0xa60219f1,
+    0x45193dea, 0x042776ca, 0x53ddbdcc, 0xe66dcd05, 0x6c9ea3a0, 0xc46664aa, 0xdf5a37c2, 0x2d77e000,
+    0x9fcc0372, 0xf77a748a, 0xb23471b6, 0x8744412d, 0x301958d1, 0x2a81e92c, 0xbfc2c80c, 0x33d1e33d,
+    0x670cc7da, 0x65fbcbd5, 0x5ed659c5, 0x366b0617, 0x685c0f80, 0x56c1838e, 0x9891f1e8, 0xdc6b2047,
+    0xcea6a89b, 0x4d646c6d, 0x76b686d5, 0x047e0d00, 0x1b86d3a6, 0x9eea88f1, 0x7579d3e4, 0x99514c99,
+    0xaf4415b0, 0x90f56ab9, 0x84c4f100, 0x0b8496f1, 0x5306e941, 0x99328782, 0x95ae3272, 0x73e60675,
+    0xe9b3bd92, 0x2f1913b0, 0x2aa59eb1, 0xf45258b8, 0x0573391b, 0x140dee47, 0xae95f6af, 0x591794ed,
+    0x4faafb74, 0xa9ebb3c9, 0x1f82870b, 0xf99e7c9f, 0xd04c44f2, 0x613f244f, 0xddc7fefc, 0x8d5eec6c,
+    0xbcea15e0, 0xff87bd2e, 0x78c77e0c, 0x3fb27097, 0x26a833cc, 0x0f86e822, 0xf5979d20, 0x31992d58,
+    0x2667fc23, 0x4f0fdb58, 0x5ca65cab, 0x4304dc42, 0x4634c6ac, 0xfb0167c7, 0x704e60dc, 0x2bfe27af,
+    0x5e5fa930, 0x16320804, 0xd3a8d945, 0xe92295c9, 0xcdf2cc5e, 0xbce0067b, 0xb663419e, 0x2cd99600,
+    0x8ecc0428, 0xe5aa31e0, 0x71b4cd80, 0x694e514e, 0x2cd74dcf, 0x8e95ece3, 0x95e08871, 0x5f4a3466,
+    0xace4066f, 0x17efbdc5, 0x3b364ee9, 0xfb119f95, 0x0726d477, 0xb4f6907f, 0x52416700, 0xa8b5ef18,
+    0xbd2d27b8, 0x0bc17514, 0xd887ee43, 0x8341a3e8, 0x65553f9b, 0x530b575b, 0x622e05fd, 0x3775cc82,
+    0x05714578, 0xf957917b, 0xddcaef94, 0xdf2e6006, 0xedb05262, 0xb4d2c524, 0x6ccce94c, 0xe0168e26,
+    0x6e7a186b, 0xe2eb4de7, 0xffc08b40, 0xa7ee5f87, 0x4dea4f07, 0xb9343a4a, 0x81b4cc35, 0x9e3685fc,
+    0x5f521994, 0xcd7c6628, 0x39408664, 0xcec89982, 0xa822d314, 0xcd63a007, 0xc313a892, 0x72f1f263,
+    0xb81ac5ea, 0x2441cf05, 0x2413de8b, 0x87087c1f, 0xdcf6e1bf, 0xe43b156d, 0x55817b9e, 0xb9cc386e,
+    0x87a7d177, 0xfb3938d2, 0x0b23aa0d, 0xd8570eb1, 0xad3efc81, 0x6e952175, 0x345fcdd5, 0xfa184192,
+    0x2f650c54, 0x2e30c584, 0x9237687d, 0x8e0eef6e, 0x06e956fa, 0x673bb699, 0x71ddeb59, 0xb1ff3f85,
+    0x1d6e3625, 0xca8161ce, 0xcd396aaa, 0x8b452cba, 0xb07a3e54, 0x604ddea9, 0x0d2528a2, 0xe51beb1d,
+    0x70f789ea, 0x2b1803ed, 0x9d78c2b3, 0x0af2f037, 0x7b780c82, 0x948fee37, 0x57ea1051, 0x394340b1,
+    0x8b6346ba, 0x6c0ccfac, 0xd6afd136, 0x02d29db2, 0x84d34bf0, 0xd1142b07, 0xa30e309d, 0xded5749f,
+    0xeb91b3ea, 0xac3588c0, 0x06bbf8ad, 0x6e953785, 0xbb8b1191, 0x08637fc2, 0x9168df26, 0x6ce02e01,
+    0x43c1b2d9, 0xcfb7d61b, 0xd2b8c7d4, 0x22bc7b98, 0xb0f1eb79, 0x63d0e2ab, 0x4c955dab, 0xbcbbca8c,
+    0x6b10b3a6, 0x9826274b, 0xc98f233c, 0x1e08e979, 0x833d6e41, 0xd47006b3, 0xa2f3b57d, 0x8cdcded6,
+    0x4e6dfc79, 0x3de2675b, 0x1a0767dc, 0x33c421bd, 0x75a4b3c2, 0xaf991157, 0x047ab919, 0x8ccd7f8c,
+    0xe3687f7d, 0x82bdca6b, 0x2ca1a3fb, 0xab8a10cc, 0x7020ab7b, 0xd148e875, 0x3b6e5785, 0xe4ed0d9d,
+    0xa73c4f3b, 0xaa856f8a, 0xd411eb4f, 0x2a17f84b, 0x953fa51f, 0x0f6b9243, 0x3709989d, 0x044165df,
+    0x2837c38d, 0x4b9a53fd, 0x30584ce4, 0xcbec75e2, 0x6b7d7bc7, 0x52473ee8, 0xed66ab2f, 0x71a5988e,
+    0x9520e9e8, 0x263cb64f, 0xf5497edf, 0x044bef93, 0xd0af9b2e, 0xaff70bd1, 0x0a127d6e, 0x176b406b,
+    0x6f59419c, 0xdb0a0ad7, 0xfa095f22, 0xd88a6dcc, 0xdacae726, 0xf8cc1fd9, 0x5c9a6a20, 0x2b050c85,
+    0x71c8791a, 0x26a74544, 0x06d60c23, 0xe6aa2b5a, 0x27ab0196, 0xead1bd4b, 0x1b8fcd11, 0xeaf86757,
+    0x019c1b5e, 0x461fdc38, 0x4a37665b, 0xa832856d, 0x9e33e60b, 0xbf11e7dc, 0x751bf56a, 0x9fe078fa,
+    0xbc48750d, 0x7f029817, 0x965472d8, 0x1371d887, 0x36a895a9, 0xf0f726a7, 0x9a6635fd, 0x5fcf81d8,
+    0x07a1d0cd, 0x344da80d, 0xab5e0504, 0x702c64c5, 0x70abcfca, 0x32ac8f46, 0xeb04730a, 0x659cc5b0,
+    0x4352433e, 0x2f7e856b, 0x02670ef0, 0x1c894108, 0xc6d29c9e, 0x17f1841d, 0x5c014f34, 0x4fa00764,
+    0xaf5772e1, 0xf1376527, 0x18da4ee2, 0x145d5c05, 0x95054143, 0x64e69ad6, 0xc19f48ec, 0x190e255d,
+    0x9420983c, 0x117624ca, 0x8a80b875, 0xeea9cc1e, 0x3c33fab7, 0x4117393e, 0x75c23858, 0xb32e9261,
+    0xfb28f60d, 0xacac74e7, 0x976eacaf, 0x5ebc6f78, 0x075751e5, 0x6b8b603c, 0xbdd313d7, 0x47827d01,
+    0xec176b43, 0x09ad3b1b, 0x72364c70, 0x7baaa497, 0xf3a57c6e, 0x553ba0b7, 0x0065768c, 0xe4e7a1b9,
+    0x01a038f1, 0x2ed94077, 0xf1669a96, 0x0668f889, 0x5092b09f, 0x25f65c3f, 0xe21c39af, 0xea74df26,
+    0xadc66fb0, 0xd8ab9247, 0xfb985a12, 0x2f21a541, 0x6b10ea64, 0x245f13fa, 0xe3268731, 0x97ca0509,
+    0x4d7d9703, 0x390443a1, 0xb097cdc2, 0x172fcd1f, 0x27f70e9c, 0x7e4abd42, 0x9c279d8f, 0x7080421b,
+    0x57f34853, 0x8eb15d93, 0x3094b5f4, 0xe2681a47, 0x876fb43f, 0xfdff28fe, 0x4b9d354a, 0x7edaef63,
+    0x8c9fe7e0, 0xabedab57, 0xddd4a61f, 0xff206b0c, 0xd1b5a0e9, 0x40b327ff, 0x6748370e, 0xf1b2107d,
+    0x70c0a417, 0xa2858b82, 0x07bd5c31, 0x74ea0841, 0xa39e2f5a, 0xa3810b43, 0x299324d1, 0x4b2175c1,
+    0xda9200a0, 0x84a3ddc0, 0x4be3d4b2, 0x175dcef0, 0xbe859e07, 0x1bc617dd, 0x4be966b5, 0x3feac7d6,
+    0x5a8f9791, 0xcc056767, 0x7c6b67e4, 0x32553a83, 0x422d9cf8, 0x3fe46242, 0xdb4ec7b8, 0x3bbe6d60,
+    0x1905f279, 0x9285e307, 0x70215c5a, 0x4297b7c9, 0x4488c80e, 0xa8339634, 0xff54765d, 0x6bdf67b6,
+    0x3ae76f84, 0x5b813814, 0xc3c63081, 0xb4858e1d, 0x4c646134, 0xfe2473bc, 0xdb917e7a, 0x2d6a02dd,
+    0x0df680c4, 0x307873c9, 0x7a3d3de6, 0xa7e0b954, 0xe37f4d97, 0x7a0da9af, 0x3a13ebd3, 0xf3166144,
+    0x4238921f, 0x20a86751, 0xa4316a98, 0x11b46751, 0xd9c7e8e5, 0x42002408, 0xa75fd83f, 0x07181587,
+    0xd7868e40, 0x0ec6b9a7, 0xb191b066, 0x6d222962, 0x6095de8e, 0x47044ef0, 0x0b10314e, 0x4af90f2b,
+    0x799396ad, 0x52ec7efc, 0xd288f1e4, 0xdb21a04a, 0x1a665d0f, 0xfeab8f77, 0x78731c36, 0x16655872,
+    0x366e8d81, 0x6cd40e71, 0x6a978611, 0x3c68b5c6, 0x9da9ba4d, 0xdbc265d8, 0x8795f70c, 0x7cd603a2,
+    0x5fa99f1e, 0xbe9a64b9, 0x91d0a2cb, 0xea5f29fa, 0xc35d737d, 0xf8d4cf05, 0x5d1dcd88, 0x9bfcc63a,
+    0x6e8353ee, 0xb934dd77, 0xf8ab33d1, 0x3d62d688, 0xaa48da25, 0xffd59be1, 0xc113dc2e, 0x265d6b58,
+    0x851c7c59, 0xf41f438e, 0x9257c596, 0x22c11b03, 0x9cdbf1ff, 0x9d39aeac, 0xfe99ab6e, 0x56992e13,
+    0xc4155fe9, 0x7f975103, 0x8978d58a, 0x2e37666a, 0xb1d24dc9, 0x5ad2d6e7, 0x3ccd039c, 0x13ffc44c,
+    0x74fdca03, 0xf1b8b25e, 0x4ea72f88, 0x7021487c, 0x5f5f61a7, 0x14354af5, 0xf5fb2e3d, 0xff8b99ce,
+    0x7f07ff60, 0xa392e804, 0x918d915e, 0x11561b3c, 0x361c67e6, 0x32f8844e, 0xa33e0ec5, 0x5a995c88,
+    0x1c0e6ee0, 0xda048125, 0xf46fdb6e, 0x2d35c380, 0xc8cba8fa, 0x7579f7bd, 0x21e6bf8a, 0xa3b3c7a5,
+    0xdaa6cb87, 0xd00bb049, 0x617aeac3, 0xbd9a99dd, 0xf6d5391d, 0x7be422d8, 0x1cd94f0c, 0xece89f99,
+    0x6a3ceb60, 0x477b903d, 0x44f36f6e, 0x76f3f3f4, 0xc2986e52, 0x2e0b1d98, 0xb43e1d47, 0x532fdcdc,
+    0xb66bba06, 0x8d55b7c6, 0x12542351, 0x9ae0e94a, 0x604106f4, 0xdffc3892, 0xf6c982d4, 0x1f09d62d,
+    0xc6b26f9c, 0xe9fe7603, 0xf390f429, 0xe8a7a0cb, 0x53e37fd8, 0x9fa44410, 0x60124a35, 0x53470330,
+    0x35a232f5, 0xb0aac1b1, 0x6da2d4af, 0x44e643b9, 0xbd397b33, 0xee2248f6, 0xb22feaa7, 0xfd1f6b54,
+    0x3eeca6d2, 0x10d18d79, 0x75a923bc, 0x0e6b5a73, 0xdca4981c, 0x011a33dd, 0xf49f545b, 0x56a09bac,
+    0x89222a93, 0xb6580974, 0x431d961d, 0x6563e8e5, 0x00a80fa3, 0x9f363305, 0xcf81ce99, 0x8f1cb1e5,
+    0x83cc68e7, 0x8d85d8ec, 0x2043ba00, 0x7c2ca846, 0x41b3389e, 0x9c0a8e2c, 0xac11e8b6, 0x5521c155,
+    0x45bafe1c, 0x04523a83, 0x0a062134, 0x5f3f5153, 0x68bb774a, 0x2569b15b, 0xc4f1e77d, 0xdcd9838d,
+    0xe808b716, 0x40e56680, 0x5fd4d07c, 0xc353e969, 0x04bb1600, 0x8b1444f5, 0x27255e7e, 0x352f83bb,
+    0x4aa62f36, 0xbb7d1fff, 0x5b8e4c2d, 0x9b4397ac, 0x048486dd, 0x7cf8dd5c, 0xbe0c1c9a, 0x52a06c49,
+    0x19754ff6, 0x2ade4b7e, 0x4398f0dd, 0xa702f885, 0xe894b860, 0x78b78d0c, 0x7f62717b, 0xe3e57dd0,
+    0x5621b9db, 0xb37c13f2, 0x7eb94761, 0x267a0809, 0x84c48a28, 0x67496e30, 0x5cb8e94c, 0x6c324ad6,
+    0x4bdb583e, 0xc92459c0, 0x1c66bd6d, 0x2765a88d, 0x15422ccc, 0xdbddb399, 0x7616bee8, 0xc9c93c5c,
+    0xb5ae011d, 0xd90dd943, 0xe70bd998, 0x7c2b62c7, 0x0141f65c, 0xc95bf510, 0x523f3f7f, 0x04d297d6,
+    0x8315d137, 0x83fac158, 0x19c4ff90, 0x8cf25fcb, 0xd5f10701, 0x64607312, 0xe0d90765, 0xfc3c8170,
+    0x418d0b70, 0x3846864c, 0x9a54b9ad, 0x487d961d, 0x9cd72309, 0x93fe13ba, 0x17ae16d9, 0x0b261767,
+    0xbeb79d5f, 0x5233e315, 0x68477fa2, 0x09aaba1a, 0x82c06711, 0x3d1a622a, 0xaf139a87, 0xd5ee166b,
+    0x14c739e0, 0x64ffba0d, 0x74ff6f79, 0xa0ad55a6, 0x27f695c7, 0xca15bccc, 0x7514c91d, 0xd1a952b3,
+    0xf2f01ae5, 0x172d6be6, 0x8cba2cb4, 0xe096a2f5, 0x8f520bb3, 0x52e7d599, 0xd8a9afe5, 0xa26a8fd1,
+    0x53e33dc2, 0xa3288dd1, 0x8c01b5c4, 0xb8e50306, 0xa21971b6, 0x68e24041, 0xd5cdc880, 0xc683b132,
+    0xa5e277b1, 0x3f6bea02, 0x61f4af1a, 0xce05e4f1, 0x71e3e7be, 0xfe1e517c, 0x5bbaf006, 0x8d94104b,
+    0x8c45ac35, 0xdd0df8d0, 0xaf85e18e, 0xddc389a2, 0x4e19cbd9, 0x8cd11d25, 0x03f17b39, 0x3d834d3c,
+    0xbf9303ca, 0xa410a2b2, 0xead71f4c, 0x82cf2187, 0x431d51b9, 0xbdca6a29, 0xcd015704, 0xf79381db,
+    0x5a781dd1, 0x25139da5, 0x61785d1b, 0x0c961d0f, 0xc1c312cb, 0x077c002e, 0xca7ab9ea, 0x2c392c38,
+    0xf7c03a0f, 0x91367c80, 0x792177e0, 0x8ffa0943, 0xcb7aeb04, 0xebd85b45, 0x4c13979d, 0x5ebaa306,
+    0x3487aa7b, 0xed68ebee, 0x8810036e, 0x7c2e4952, 0x30d5c8eb, 0x5e0ea7c0, 0x027eb60c, 0x20ccb087,
+    0xb7dbcccd, 0x1349e34b, 0xc094d12b, 0xcb1d64ae, 0x18fb5dec, 0x309f29e0, 0x802f5af6, 0xc01ee32e,
+    0x00000000,
+    0x8dc57f23, 0x4d3c25e6, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000590295810358705651712 */
+  { 0x00000000,
+    0xb3c483db, 0xb631fc37, 0x2e633eb5, 0xd892e595, 0x49c7d9bc, 0x22b6478d, 0xd066b26e, 0x3da4a87d,
+    0x4e777933, 0x71cf75c6, 0x7de8d70c, 0x49de8e35, 0x49176a25, 0x4bf2a91f, 0x62e29f5c, 0x0e89a73e,
+    0x37b93085, 0xa338ed7c, 0x3d7cbe15, 0xabf37cc8, 0xf8f8460b, 0xcc138e16, 0x5d5e0408, 0x310aa47a,
+    0xac13508b, 0x6134a133, 0x473a28ea, 0xb2396fae, 0x308a5a93, 0x6077ebc9, 0x9b323db5, 0xc47b0454,
+    0x2479cf00, 0x923d2a1e, 0x2659b9f7, 0xf1483c0e, 0xfda3b1f2, 0xa62e5fe1, 0x1b8a2be6, 0xe8b837cd,
+    0x620c971c, 0x5e6dc0e3, 0xca1e79ef, 0xc6769b51, 0xc64c9322, 0x245ea95a, 0x088ace2c, 0x7f61875e,
+    0x44b79e66, 0xc6568646, 0xa3521c7e, 0x5b039dbe, 0x05067c99, 0x05be4840, 0xb42a47e1, 0x67d1bbbf,
+    0x8a55e434, 0x091a5bdd, 0xe61e4167, 0xe3676f6b, 0x2fca0ff1, 0x2f5e4bb5, 0x7f3667fb, 0x3a4fb9f7,
+    0x70489fb7, 0x67059a97, 0x20aa1594, 0x4945cc89, 0x48308ecc, 0xb2e01fbc, 0xfc4a1f47, 0x7492dda0,
+    0x4870944f, 0x12b7756c, 0x2e7437fa, 0x5836c8bb, 0x21afec38, 0x1857059a, 0x706bcdc3, 0x5d9a4da0,
+    0xaecd1279, 0x6df9baab, 0x1a51230b, 0x4779f234, 0x5c6cd3ab, 0xb41039d5, 0x37f989a1, 0x5486309c,
+    0xe663f277, 0xff8e2984, 0x860a1144, 0x154bbada, 0xc197e2d1, 0x03a6c38f, 0xc6ebc563, 0xcd9a2866,
+    0x2555a730, 0x72623f54, 0x402c281c, 0x22eda704, 0x4d9c12a1, 0xf1ca29c5, 0xc2597604, 0xa6339d83,
+    0xfb240e49, 0x8331c37b, 0x389581d8, 0xaf138162, 0xac5a7d19, 0xde9a07c8, 0x7d722cd7, 0x34ae7d10,
+    0x5e398fc4, 0x8fac54e9, 0xeb3c0d0e, 0x4178f1ad, 0x6a61c122, 0x2f7f294a, 0x62a9d1e7, 0xd2e0d0c0,
+    0x9ae111d6, 0x6e3b4181, 0x9e1b3e6d, 0xb4a56d12, 0x3223838f, 0x920b43de, 0x44c30f46, 0x598257db,
+    0x07c7f6d9, 0x7e4f3a7e, 0x12a43069, 0xca877e38, 0x1b5de43a, 0x0a2536e4, 0x9a9d83b1, 0x08a458a4,
+    0x5a8fc5e7, 0x5eb8fa45, 0x67b8c804, 0x20b2495d, 0x3698c2d8, 0x118db39a, 0x9f92efb5, 0xe44ec0de,
+    0x30b6a28e, 0xcc844e8b, 0x33d5ee24, 0x035ebb52, 0xe5193db2, 0x99b3e2bd, 0x3f84b03b, 0x960abd44,
+    0x9c07cd50, 0x19072c4c, 0xa55b5b58, 0x9764c374, 0x18075185, 0x76681f44, 0x1a5357e1, 0xe8af2d79,
+    0xdc8dcc8b, 0x8c8f97e4, 0x41de1bd2, 0xbaebcc2c, 0x2df7a3e1, 0x3b672153, 0xddf39c9d, 0x825b61c3,
+    0x4680a3de, 0xea22d507, 0x4107347e, 0x312f5bdc, 0xcd19c3d4, 0xa345e1e2, 0x157e090c, 0x8aeaa01a,
+    0xb0fa50f4, 0x932db5cc, 0xea0757e2, 0xc5cc19e9, 0xc07dca78, 0x85c3e9cb, 0xa3d15f23, 0xde38a6ca,
+    0x8d0728f3, 0x14ff7197, 0xe943913d, 0xb291f3b5, 0xd2e5159e, 0x1054dfd8, 0x05f3b554, 0x0bf35c81,
+    0x67855fa4, 0xe5eac186, 0x46baa993, 0x865d4f0a, 0xdf8840bd, 0x728485f9, 0xd8506ea4, 0x2d883ce0,
+    0x144af6ca, 0xe538e4dd, 0xeb5bb085, 0xc2761f69, 0x37f4e2db, 0xbf6c7f93, 0x48d7cf79, 0xdabbb2f9,
+    0x414c1e3b, 0x4bb04efa, 0x205633d5, 0x699840d6, 0x0ba56db8, 0x6cc9d6cd, 0x978781b6, 0x5b9890b4,
+    0xbd28a34e, 0x04b312b6, 0xf8096732, 0xf62926a9, 0xec7a29e5, 0x67355e95, 0xd4a12bc1, 0xaad93268,
+    0x1797349f, 0x9d920649, 0x22c64f01, 0xd53f683d, 0xd8760b90, 0x782e0329, 0x0d3767ea, 0x3d581b24,
+    0xb837cb7c, 0xc6ecb450, 0xeadde78b, 0x156a5dad, 0x6b5b0b6a, 0xbb5b32a2, 0xd9ffbf2c, 0xc0facb47,
+    0xb538026e, 0x06c22eca, 0x45a5a120, 0xd9f5a6b9, 0x965e65df, 0x1507dc8e, 0x5711cefd, 0x1ca53010,
+    0x221d6710, 0xca44dd28, 0x27060e54, 0x408a7415, 0x7030d00d, 0x32c50cc4, 0xa3a81adc, 0x328d4a7a,
+    0x77a68f75, 0x1184d7fd, 0xf5cc7976, 0xcbaa8a1c, 0x2ec5127b, 0x4a7b31cc, 0xd5d52b48, 0x560696de,
+    0x4233f4ea, 0x91958aaa, 0x0b1002a9, 0x3eb6399c, 0x4370ef21, 0x534ee3e3, 0xf716688d, 0x0c8057d9,
+    0xb34acb54, 0x6740f79d, 0xd780d954, 0xcfb3cbc6, 0xf747e568, 0xc69606ca, 0x754a4275, 0x3230b711,
+    0x7c59bc81, 0xcd124767, 0x098402a1, 0x066b1e50, 0x476841e5, 0xb45ea082, 0x6836506d, 0xb58c7fb1,
+    0x6d5f767c, 0xb5f2d049, 0x09d33d4f, 0x5568818c, 0x0b7826a9, 0xeaa5a291, 0x41e665c7, 0xc328bf57,
+    0xa1e17eae, 0x8fb59538, 0x48f49500, 0x3f6a8eae, 0x413d7626, 0xfdaafe41, 0xc82414b1, 0x72483da9,
+    0x21969460, 0x908e02cf, 0x59b306f0, 0x7d3f4082, 0xb0c6aaf3, 0xdab01e50, 0x1a43c907, 0x77ae7690,
+    0x70bef0b2, 0x5e8e31ce, 0x290e1983, 0xd008a953, 0xd0fac67a, 0x37dbf3fd, 0xf18755e8, 0x2b9286f0,
+    0x41753ce1, 0x48fa3bc9, 0x677a7e55, 0xbc48dc0a, 0x52afd6ef, 0xc403e382, 0x24309e4d, 0xb4cfe3a2,
+    0x1e7f7d87, 0xb78a5073, 0x552f2c52, 0x2d8e1661, 0x909eb69f, 0xd48a7146, 0xc55fd305, 0x549503bd,
+    0x01fb5cf3, 0xd128327e, 0x98067004, 0x7056cb82, 0x2201aca1, 0xcfdfb7a4, 0x7ff57836, 0x303a3494,
+    0x7ba53270, 0x2eb61d8c, 0x567df1af, 0x944b4226, 0x56d7b659, 0x98d919d0, 0x0f0450a1, 0x26303baa,
+    0x132a55ab, 0x5746dc7e, 0xdea48ca5, 0xf21967d9, 0x2c9dfd4b, 0xaf22585f, 0x72266544, 0xea176e3d,
+    0xf87f1a63, 0x6c859a9a, 0xcf9f29e2, 0x3584dc88, 0xf9ac35d1, 0x677b904f, 0x661e357e, 0xd9ff5ab5,
+    0xd16a124a, 0xccf72332, 0xbf6ed38a, 0xcc35e907, 0x4c767d3c, 0x194abf00, 0x93747c22, 0xc8431166,
+    0xd28a9ecc, 0x070aec62, 0xf92b5fb4, 0x5a3f676a, 0xa502f7ce, 0x01c1871f, 0x25024fc5, 0xcdfb1c4f,
+    0x720a551a, 0xa03f22c7, 0xc5dbb187, 0x505241f9, 0xeb146f42, 0xd42d65e2, 0x4b390785, 0xc3615aed,
+    0xea37186e, 0x05271424, 0x9d77f660, 0x786ab182, 0xec517ece, 0xfa4a283b, 0x934e41ed, 0xb7c33b90,
+    0xaa83b8c1, 0x4b901f97, 0x7510aace, 0xd65444d2, 0x8702b3e5, 0x4e7c1e5e, 0xa8eb7f29, 0x0612bb7f,
+    0xd990cc32, 0x6e5b8c4c, 0x8b94f293, 0x31ed94e3, 0x1e009f2c, 0x653b83a8, 0x0cdadbf6, 0x96a54ad6,
+    0x6bc89b5e, 0x0573f356, 0x233babe8, 0x9a8f9197, 0xff11f129, 0x2fb7618e, 0x6c7f102a, 0xb1a377b6,
+    0x45798c8e, 0xf4d26aeb, 0x3bb9ba7a, 0x7f6da2a9, 0x841ab330, 0x4fc07c8e, 0x560a43fc, 0x4103364c,
+    0xcce0f24f, 0x0e1c14e3, 0xa9208b89, 0x89f8c7da, 0x87b8d36a, 0xdff03b0a, 0x47e087aa, 0xb1c09be7,
+    0x10137321, 0x0c16235e, 0x2c2ec388, 0x076733b4, 0x4fde650c, 0xdf5828b0, 0xbe7979a3, 0x879e6cef,
+    0xda9cbc53, 0xc05796d8, 0x47bc75a5, 0xf82d2929, 0x191657e2, 0x0a8471bc, 0x7a93fabb, 0x3f4873df,
+    0xab30537b, 0xd7dbb176, 0x8660c974, 0x2adf8370, 0x2aea07e6, 0x48cab07b, 0xa6e3db59, 0x730a28e7,
+    0xb852ea0e, 0xf084345d, 0x21d0c5c9, 0x4cd4d361, 0xee3aa8ae, 0x0e1683a1, 0x506461c7, 0x96159566,
+    0x56245c71, 0xac887b68, 0xc7eceb0d, 0x6db54b3c, 0xadf23f8a, 0xdab34055, 0x4f48dca1, 0x71571c30,
+    0x88172c23, 0x039690a8, 0x1a72ee8b, 0xc1df6ec0, 0x83cd000a, 0xe457e970, 0xe69c6556, 0x7c0639a2,
+    0xa7e91782, 0xcb886331, 0xad9ab7da, 0x50be552e, 0x65873a84, 0x5e915355, 0xa7878053, 0xc9ed2da5,
+    0xfbb13dad, 0xb351f597, 0xf0625775, 0xb9ea84f6, 0x31064d7b, 0x0b594db8, 0xdf8fbd88, 0x04de1755,
+    0x8aad2953, 0xe4dd640a, 0x5713b85c, 0x3a952e07, 0x19edc1c6, 0x8ea6d73e, 0x812b822e, 0xe51aef83,
+    0xd0f07e92, 0x9b4d2e45, 0x68ecbbfe, 0xd0103f2d, 0x0d01165e, 0x15816c31, 0xbb4d429e, 0xf17324a8,
+    0x02390487, 0x409bd1de, 0xa0339d3f, 0xa4b46d1f, 0x477c09bd, 0x11be4b4e, 0xa0fd7126, 0x90bd1c37,
+    0x46ead117, 0x0130474f, 0x43c9d71c, 0xf3644abc, 0x09ad3590, 0x07cd8980, 0x81e39d02, 0x41955fe1,
+    0xe3369e0f, 0xd75872e8, 0x7399cade, 0xff3cb57f, 0x18bf0c95, 0x86e9e5ad, 0xe6a3e119, 0x1cda2afa,
+    0x69aec9db, 0xabfc9352, 0x16730d5a, 0xfbda9421, 0x268894cf, 0x90acaa48, 0x4eeca932, 0x29989f6c,
+    0xfb3642c5, 0xed14aae9, 0x896bc1a4, 0x08d69618, 0x0519959f, 0xa8236c7f, 0xc6dc1532, 0x4f1d2b7a,
+    0x2f6806b8, 0xffb5ab1b, 0x63c30078, 0xd20b3298, 0x8bde186c, 0x3fffe96a, 0xe3e8bf8f, 0x3f814dbc,
+    0x5e2ddc70, 0x4081486b, 0xd28874d9, 0x51d111b8, 0x1671fd09, 0x60c19f92, 0x83567e96, 0xa2288cdf,
+    0xb0039882, 0xa8b51de2, 0xdc5754d4, 0x377f2697, 0x7adcd7b8, 0xf8688702, 0x8a32143b, 0x494ee5a9,
+    0x2c8fc57b, 0xd5460b4d, 0x2e28eab1, 0xb8eb8839, 0x521d8fb4, 0x204a9e85, 0x242a003e, 0xe54ea09e,
+    0x07b9a742, 0x4d1c2a89, 0x04607acb, 0xbdb82e3c, 0xde95316c, 0xb838eff4, 0xa0d97c31, 0x1ffda061,
+    0xb9bda0dc, 0x9065fc78, 0x24ef1bf8, 0x4f66a080, 0x001afe17, 0xfe99be97, 0xd9291e65, 0x3b639a0a,
+    0x776ca804, 0x3bacfe95, 0x382d5053, 0xb898167f, 0x9682b0e9, 0xf9b4f017, 0x2b2d9383, 0x61fe3c60,
+    0x0ed70230, 0xa4fa7232, 0x1c7b47db, 0xd00050d5, 0x1dde776b, 0x6121289e, 0xa1d8ae31, 0x0369c30d,
+    0xb543849e, 0xdbcfbe6e, 0x3dee4274, 0xf7adea45, 0x33315a92, 0x71850477, 0x1d071c4a, 0x564569a3,
+    0x2e48dea3, 0x9bb0948f, 0x44791482, 0xa61339ee, 0xb92703ef, 0x2046b0dd, 0xf1d099d3, 0x19accc3e,
+    0xe2147b41, 0x23ce128e, 0x4d33863b, 0x0faf2465, 0x0e64776c, 0x0f0c71b6, 0x5d2ecd54, 0x0ebbda1b,
+    0x45f2413e, 0xf266bd63, 0x9b59f0f7, 0x78fc8c4e, 0x8d0cb3ac, 0x43d07cdc, 0x8d0eec95, 0x0a9c802f,
+    0xc0ce5ea9, 0x5b80ee03, 0x8a53c7c6, 0x142c2922, 0x601ffddd, 0xcda65107, 0x55727180, 0x77433793,
+    0x5a1a88f5, 0xe64a30c2, 0xbfc53c11, 0xf99e9fd5, 0xf0bc02fc, 0x9e8e9ce9, 0xb00db8a7, 0x1a474dd7,
+    0xde9f602e, 0x2792c5da, 0x58ce7dc0, 0x37bb452b, 0xe42fd7b9, 0x81697a18, 0xee9c2352, 0xb0cce790,
+    0x9e03da8a, 0x7482739d, 0x8bb8aa35, 0xb22470c6, 0xffd1bf0d, 0xc25043ba, 0xabf70c62, 0x0f2eccff,
+    0x9ad8a2a2, 0xe5606606, 0x6e5f03ae, 0x32212443, 0x54c470d2, 0x70e3fa0d, 0xeb010ef4, 0x8336f5b3,
+    0xb954b7ce, 0xbb39992b, 0x62bcac52, 0xc1e798d6, 0x396fc8c8, 0xf09dc065, 0x80db0159, 0xace4c88e,
+    0xb534567a, 0x0f9acac4, 0xc322ff90, 0xb27967d8, 0x12c52e01, 0x3924ee96, 0x8afa7c82, 0x428573dd,
+    0x3533388f, 0x9659436c, 0xd8f093cd, 0x997999a4, 0x1f860c83, 0x0d6efe5d, 0xa7a463d8, 0xae7fffdb,
+    0x1b4db2c5, 0x9961b207, 0xc3c6c257, 0xde48e980, 0x5fc14cd9, 0x26974c3f, 0x4adb4595, 0x354c53ac,
+    0x95ce17df, 0x6f3a2456, 0x80e11aaa, 0x4d31d13b, 0x36fd9592, 0xe1880abe, 0x9fd5d620, 0x590f6c68,
+    0x4ccdf0c6, 0xdf909576, 0x9cb210cf, 0x767ecef0, 0x37671fe1, 0x875629df, 0x20d4a722, 0xa994808d,
+    0x7d7a73a2, 0xe48c4e43, 0x77776c6f, 0x6a79279e, 0x0fc35a79, 0x11bb664e, 0x475af791, 0x0d8a4cd7,
+    0x1b400d2b, 0x1429e070, 0xfed8f9ce, 0x112b3a96, 0x875f32da, 0x7701a5dc, 0x349da1b1, 0x529aa27a,
+    0x0c01b8d9, 0x60f28c0d, 0x81975e07, 0x2ef5fb75, 0x9ac5abbc, 0x8cdc4f00, 0xdefdb797, 0xcc3f5806,
+    0xef567c02, 0xb7177919, 0x02b30a29, 0xca7a84ae, 0x7e78dd43, 0x227ae4de, 0xd8e5785e, 0x232e6964,
+    0x16a90ac1, 0x6e7e2a12, 0x1e05408f, 0x0e18ac4a, 0x2c8e5255, 0xe47fa991, 0x5f345e33, 0x6b7deb15,
+    0x29e479ca, 0x1aba1f2b, 0x8fe2678a, 0xad33e1ed, 0xd1f7ff6c, 0x7a28d938, 0x1a6376ef, 0xf87aa34d,
+    0x8adfca39, 0xa59ff7ec, 0xeb1debbd, 0x3d77cbed, 0xcb460e2c, 0xae34ca14, 0x76243bc6, 0x465a512c,
+    0x68d8d974, 0xb67c1a86, 0x987a8765, 0x1b08f7a5, 0xafc8aa91, 0x81aec6c4, 0xde26174f, 0x5a4cc9db,
+    0xc29bf690, 0xe1fab7e1, 0xb9ea522a, 0x7deafb6c, 0x7673b822, 0xe8d4af01, 0x119cc229, 0x7828f371,
+    0xf76c2007, 0xa0bc3f3a, 0x3f80c6f8, 0xdc5ddf87, 0xd2cfa930, 0x75769abc, 0xd6953dd4, 0x7c6c5f71,
+    0x5cbf0cc9, 0xf58442ca, 0x80845d08, 0x2af69490, 0xc78d6267, 0x94120114, 0x04d5e1bf, 0x88a0cba9,
+    0xeec05890, 0xcc57511b, 0xdf48ece3, 0xa3ac9270, 0x3fd5886f, 0xcdc1abc6, 0x1a2bc4ce, 0x306d50aa,
+    0x7d3c9178, 0xe9d6a475, 0x40996d31, 0x48d8bfdc, 0x6670b089, 0xd2dfa1de, 0x6cee5163, 0xb2ec0ed2,
+    0x8b692bc1, 0x8c5385ad, 0x3dd547af, 0x94443b71, 0x4f405666, 0x0ad7f710, 0x4d007f7b, 0xcec12da9,
+    0x1eb6b05b, 0xc9863fb3, 0x60ac148f, 0x9da4f844, 0x1a718443, 0x76115e18, 0x8124ea94, 0x661e39dd,
+    0xb829c293, 0x26f5eed8, 0x8bcae183, 0x561a582a, 0xc461446e, 0xc7378ed6, 0x58a6b4c8, 0x46d92327,
+    0x2927fe31, 0xc4c1c94c, 0xbc9b8854, 0x0680acf8, 0x0d8c553d, 0x67430899, 0xe85ee567, 0x5cbce9b6,
+    0x016a448b, 0x54d50f8d, 0x58de6eee, 0xfd5ac6e8, 0x74107972, 0x1260f639, 0xc5d88692, 0x7b878a2c,
+    0xe573f3bf, 0xa5c4d8ad, 0x8c7d64e9, 0xc8a482a9, 0x89b6e1b3, 0xb9290a27, 0xee9f4ce8, 0xaad06f87,
+    0xea99f920, 0x4bea74c4, 0xb614f68d, 0x24076e3b, 0xf5ba264e, 0x17bfec28, 0x258f85bd, 0x50ff2f01,
+    0x7326051c, 0xe926cf5f, 0xe186225f, 0x158ee098, 0x98e7aad5, 0x6a4d2293, 0xa932082e, 0xd2ebb750,
+    0xb163be3d, 0xe51d6b85, 0x834904ac, 0xe7886889, 0xc50d8edd, 0x65121691, 0xcad3ee82, 0x4f69e444,
+    0x5eab9647, 0x14fa04ae, 0x4f03fc57, 0x5fc290ad, 0xc5ccc759, 0xc6829af1, 0x1d80f577, 0xc0b5d941,
+    0xd45ed831, 0x4f282b8c, 0xdb54accf, 0xd0bbf3ce, 0xe801df28, 0xe5a17402, 0xb45347e2, 0x6b33dd19,
+    0xd1e1ef47, 0x90dbf1c7, 0xaaa468f0, 0x359c4b1e, 0x28a733c0, 0xeeed039f, 0xfe40af81, 0x401a34b6,
+    0x13db2e1e, 0x5f47f6ba, 0xb9eeed2b, 0x44b392dd, 0xa2c33300, 0xcaf9406e, 0x94991868, 0x8554f34c,
+    0x6b1bb7a7, 0x2896b81b, 0xc11d1a38, 0x4c3f4d7c, 0x46d71568, 0x5cf59003, 0x3601ed1a, 0xfa9b062f,
+    0xebab9040, 0x322d6157, 0x06078703, 0xcefb37a9, 0x168b4e70, 0xf92b3d9c, 0x171c8a83, 0x5192818c,
+    0x3b2360c3, 0x0c603b17, 0x55bd1c7e, 0xf3ffba95, 0x1455f608, 0x78c96067, 0xd2c955c8, 0x919d8ac9,
+    0x48408c08, 0x5247bf02, 0xb3090218, 0x469fb9a9, 0x6ee8225f, 0x8b7a353b, 0xf57f5811, 0x45e9c876,
+    0xd82bd3aa, 0xb419d3f8, 0x4568923a, 0x120c00a8, 0xfa6aa55e, 0x4b413b93, 0xb713f21b, 0x20bff4e9,
+    0x8d8d4a81, 0xf9599cea, 0xe876ab45, 0xd56ab889, 0x86e1a56d, 0xbecd8899, 0xdf831c93, 0x4b47c2ca,
+    0xa08b7709, 0xaecf87bc, 0xa5195f50, 0xe4d4e6a0, 0x016bd2f5, 0x05b1a594, 0x67f0432d, 0x9cd10c36,
+    0x00000000,
+    0x46e2bf91, 0x269e12f3, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000295147905179352825856 */
+  { 0x00000000,
+    0xeb8dbe9c, 0xf63b652e, 0x4392fd1e, 0xbdea3dc7, 0x535ff3b5, 0x122a0770, 0x0a77f90b, 0x3011f338,
+    0xc98bb7b4, 0xccdb654e, 0xba79ad8b, 0x7fb65a34, 0x27c083d5, 0xb0cdb6b6, 0xbdd4166e, 0x864c7078,
+    0x2f7cee66, 0xc379b344, 0x158a756a, 0x2c96bb5d, 0x100d9684, 0x57ea1431, 0xb4765bca, 0x49ab310f,
+    0x5cf34fda, 0x1177119b, 0x82b79204, 0xfb6661d3, 0x118ddc09, 0x59c6a3ef, 0x7ea2ebc5, 0x5f6c3c11,
+    0x1306ab8f, 0x66d8d59f, 0x40c2a153, 0x942b6340, 0xc65e3be3, 0x317c1bd1, 0x38cb5e76, 0xaf188cd4,
+    0x0a3dd31f, 0xbc062006, 0xd751756f, 0x657230d1, 0xa38591a7, 0xc6ad8f9b, 0x994870a0, 0xd217b02d,
+    0x1a649dac, 0x5928268d, 0x6392fd7f, 0x97ca2921, 0xced2f17d, 0xb00b31df, 0x681c6bf7, 0x4cd142fd,
+    0xbb960418, 0x37d3aafb, 0x07892b2a, 0x53c57eac, 0x96e50413, 0xc6589def, 0x59669cfd, 0xe7981480,
+    0x3a0ec8f3, 0x624a45a8, 0x408fed56, 0xbc419213, 0xf403bc97, 0x6c9bf75a, 0x985c43ad, 0x0ca929e9,
+    0x11740286, 0x20ca9040, 0xb43d2672, 0xf426af92, 0x338be2f7, 0xaea05796, 0xc80bb41b, 0xb589b3a3,
+    0x39a148db, 0xde7895a4, 0x2a175f28, 0xb5add608, 0xcd61d75c, 0x412669ad, 0xdb271e69, 0x3591c194,
+    0xad646d99, 0x89d052dd, 0x1a553d15, 0x54c3ff73, 0x0fdf2557, 0xc0c5d297, 0x57168ca0, 0x489dc083,
+    0xbbda9677, 0xd52456f9, 0x9e3274da, 0xb6ad6da1, 0x4d531186, 0xf673735b, 0xe4b31305, 0x0035807e,
+    0xa213d6e3, 0x6221975d, 0x7ce3c764, 0x85e116f1, 0xd9979587, 0xa926d65d, 0xfcfb3c86, 0x58287f9b,
+    0x11980f9d, 0xd9c48712, 0xf3b3cfe1, 0x5c5340c5, 0xd46a4a50, 0xf3bf46ac, 0xd33ecdbc, 0x3d9f70c0,
+    0x8c8a67b0, 0xc6f055f2, 0x1a6ac828, 0x0ee68ef6, 0x74b52278, 0x421fd3eb, 0x17276c19, 0xe2cc036d,
+    0x198710f3, 0x30603634, 0x87633321, 0x84e893a4, 0x2823b58b, 0x8ebb481e, 0x323ab717, 0x770c51bf,
+    0x31315626, 0xe97536db, 0xbfb5b054, 0xcbdf2d60, 0x1b41b7e6, 0x7d700dbe, 0x8bbdd86e, 0xaeee1ead,
+    0x67f1b752, 0x52c979d6, 0x898a36e8, 0x03bb4315, 0x39c602b1, 0x752ca227, 0x4ea012ea, 0xe4227baf,
+    0x9480ed26, 0x71ab4b17, 0xe1bbe8db, 0x3ead1fb3, 0xca467b39, 0x598ee4e4, 0xc56fe81b, 0x8e0ea643,
+    0xc5047874, 0x8a46ae86, 0x26396f3e, 0xba2a1b82, 0x5439b5ff, 0x7361b62a, 0x4415e75b, 0x65e578d4,
+    0xeb8e1408, 0xf7995d29, 0xb3e7cb70, 0x09841493, 0x9565665d, 0x389546fa, 0xa5a97a80, 0x198fa5dc,
+    0x6f44269f, 0x358c06fe, 0x8f78b90b, 0x5148720b, 0x5e3c515d, 0x580912d6, 0x8b3e9852, 0xf7f08ab8,
+    0x74bf45e4, 0x87eb8355, 0xe744be48, 0x764b95db, 0x0a6fbfcf, 0x44a9a03f, 0x7800f5d3, 0xaf1fbfe7,
+    0xefe2156c, 0xf0f457bd, 0x1d7a89ae, 0x73e63dde, 0xf4e4e98a, 0x2ccb38a2, 0x9b841baa, 0xa6871800,
+    0xebc080ae, 0xb6fe6f81, 0xa347780a, 0x5bdc76a2, 0x39a0c341, 0x70acb0d1, 0x0e7b3ba9, 0xacd5a853,
+    0xac9e9660, 0xf7294424, 0x35631788, 0x1525e604, 0xd2524cc3, 0xc732c731, 0x5229bc84, 0x5bad51cb,
+    0x97e70614, 0x31ba2154, 0x0cd074fa, 0xcfc4fc82, 0xb46e22f0, 0x67f720f6, 0xc0d96ed5, 0x4dcfdd8c,
+    0xf34df03b, 0xf63c3d7b, 0xfafc8c2f, 0x1cd3b57a, 0x504b059d, 0x11b6c329, 0x9848f52a, 0x2e27f3fb,
+    0x848ce4c8, 0x77c746ca, 0xc64cdb3a, 0x2c4ede22, 0x2f08ca07, 0x902649e5, 0xfa1b0abb, 0x0ea16275,
+    0x1288b31b, 0x976371cd, 0x4b7f5e6e, 0x7ef2e1bb, 0x68e7c4eb, 0x4a7f7422, 0xb406e825, 0x876caafc,
+    0xa5c93dd0, 0x46eae1c5, 0x42a97eb9, 0x51217c2d, 0x9174a95a, 0x836a2ae7, 0x4b0640bf, 0xcd5524d5,
+    0x2fa1a9ec, 0x68285dae, 0x59caac87, 0x75a5b7f8, 0x63e33c6c, 0xa1ab6d06, 0xf2227c1b, 0xadc22f09,
+    0x529efcaf, 0x9c869e29, 0xf22f2600, 0xada5354f, 0x12ed2f06, 0x1cc7cdac, 0xa2e58833, 0x5f9c02d7,
+    0x8405587c, 0x37cac426, 0x0f2f654b, 0x4108a3d7, 0x64806289, 0x909a6e8f, 0xf1f06329, 0x03ee7a5d,
+    0x49e92b2e, 0xf59f8c46, 0x93e26a48, 0x7450efec, 0xa5873c84, 0xd11b8c16, 0x17ecd84a, 0x5cbec155,
+    0x672014ae, 0x1128e08c, 0xf257961d, 0x5555f296, 0x14ba2487, 0x3c9928e5, 0x6543d54d, 0x7f42a5d3,
+    0xb4ab3ccc, 0x00864e92, 0x3d4138c6, 0x413e0cb4, 0x21bb8abe, 0xab574151, 0x72f04149, 0xab3ada16,
+    0xb861ff41, 0xe18ab053, 0x035d452b, 0x89299024, 0x357522ec, 0x33705b61, 0xd9d08c6e, 0x24f67ff2,
+    0x738f7c3d, 0xb31a095a, 0xe346bdcc, 0xfd6910c2, 0xbd7f294c, 0x3a7337ce, 0x1e75fe58, 0x0ebae9d9,
+    0x1a5c4bce, 0xc6f9a9af, 0x9cd7e8a8, 0x9590686e, 0xfe3502ff, 0x8a0d57fe, 0xea552ec6, 0xb803f47c,
+    0xda5139f1, 0x37c91017, 0x2ed7b542, 0x062a772a, 0x8b18d703, 0x04f461de, 0xf78f2667, 0xabadc632,
+    0x5f5d8deb, 0xc39bf048, 0x38ae7c13, 0xdaa61860, 0x33962f6d, 0x510d1b19, 0x261f8de0, 0xef90a652,
+    0xc3c175d8, 0x47b877f2, 0x4d2ca2f5, 0x77d8d45c, 0xcb80e6e8, 0x6d995c60, 0x40b29325, 0xc4050315,
+    0xb2b0a1cd, 0x25cb3d20, 0x189e31f1, 0x3eef8e58, 0xf0c1b520, 0x71af1dae, 0xed8beab9, 0x2a816191,
+    0xd741d95f, 0x60f3879b, 0x25fbcf8c, 0xacff64b6, 0x8d0ce5ba, 0x2603ca4a, 0x83fdaf1c, 0xaa33a8c5,
+    0x2359ee86, 0x12d35086, 0xd6552f7c, 0x320b62f9, 0xf37b5ad7, 0xfc8cd477, 0x876c3909, 0x1f91d125,
+    0x6798188a, 0xfc29af78, 0xd7d626a2, 0x23eb22a3, 0x21dcd0ad, 0x4a410a20, 0xb8499b08, 0xdecbf12e,
+    0x32683969, 0xf2aaaa61, 0x08f81319, 0xc4ec6279, 0x89242b62, 0x85eac97d, 0x2753846e, 0x9a368fe6,
+    0xea685a59, 0x6b07bafc, 0x41631ccf, 0x938d0747, 0x7db6874e, 0x411f7162, 0x17cd697f, 0xc5d48ef6,
+    0x65c0bccf, 0x396ab72b, 0xac464962, 0xa55c2a0f, 0xdd96baa2, 0x849f66be, 0xfcfae3df, 0xf7d092da,
+    0xe07b171b, 0xfe2bb4ef, 0xabb38978, 0x87305147, 0x55db03bd, 0x507bacc7, 0x26013707, 0xadbf7c1b,
+    0x7ed50805, 0x6b0f4f6f, 0x89aa2a94, 0x0a6072fb, 0xc76b502f, 0x94e10c4a, 0x84fb787d, 0x6bee962f,
+    0x8f422d01, 0xc21baa82, 0xa827f898, 0x0f3cd2fe, 0xb59edaac, 0xb14803fc, 0xb40609bc, 0x873b2d14,
+    0x65bfb042, 0x10ccc1a2, 0xd5b91bd6, 0x000e5af4, 0xaa6f3760, 0x329501c9, 0x737f0dfe, 0xb69dcacd,
+    0x9d92cbb1, 0xb5f8c991, 0x9f39a0eb, 0xbc4c520a, 0xf506d8ec, 0xf24fdd2c, 0xbaf63496, 0xb9af8870,
+    0x5aa6ff1d, 0x9a30d839, 0x4e0ec2fa, 0x799bcc6b, 0xa4b3165d, 0xd873b7fd, 0xb8c8f5c5, 0xdff673fa,
+    0xf7152c2c, 0x1452c13c, 0xd8c8e3ab, 0xbaeba267, 0x17f99f2a, 0xb49cb874, 0x2309a24e, 0x52d2522b,
+    0x7f622346, 0x91729047, 0x89be39b6, 0x0d7e06c8, 0x4b403c67, 0x6cfbce4a, 0x8b19ef03, 0x95d883c2,
+    0x22cb39bd, 0xb017ca56, 0x6aa7a8c3, 0x511bf374, 0xf4d21638, 0x3d203e4b, 0x78b3c799, 0x09a5c66b,
+    0xd5ba31f3, 0x61ec5861, 0x1df961f8, 0xfd542007, 0x8d041259, 0xd4b728c6, 0x661dffa5, 0x67c2483e,
+    0xd805c779, 0x61cd4822, 0xafcbbc0e, 0xfcd60921, 0x917123d7, 0x55a95080, 0x8c0a58c1, 0x0f518eda,
+    0x7f882e5a, 0x5ce1b1bf, 0xfd097e54, 0x62b57811, 0x0b8bb5e5, 0x842ec01e, 0x2c3bbb1c, 0x018db7c5,
+    0x0a09c04e, 0xa2ca3dcf, 0x88ca4c61, 0x0808799e, 0x2e78b276, 0x679b39a5, 0x6bc49ed0, 0x7ccd191e,
+    0x05459991, 0x17f52934, 0xccdc1a49, 0x2be9a1db, 0x12cd588c, 0x39300e8d, 0xbd6029a4, 0x2778c574,
+    0xb6652a73, 0x09a2475e, 0x05ab0733, 0xda5625b6, 0x362c6bb3, 0x15f4f0f2, 0x9636c4a4, 0xdd669c1a,
+    0x432dab61, 0x4ef486fb, 0xb1dd82f1, 0x120394a7, 0xe4b1d97a, 0xab139048, 0xe01aadad, 0xcf5c4ac7,
+    0x011b5ede, 0x55f50b73, 0xb643cc51, 0x6c2fe570, 0x8adba109, 0x10785d83, 0x9f1a7a28, 0x964b6b43,
+    0x056d6140, 0x114d2399, 0x1aba7a91, 0x664d3b6d, 0x3a1d5afb, 0x9b317ff9, 0x62ab23e8, 0x6480848f,
+    0xc1cb943f, 0xc6381396, 0xc0cb8157, 0x39ad06ee, 0xc39e2956, 0xad37ecc7, 0x4fba55bc, 0x90f29ce6,
+    0x7b7325ce, 0xedb3ad05, 0xcf6644b4, 0x8836fb7d, 0x3c0447c3, 0xaa95e14f, 0x9fea29be, 0xd4306deb,
+    0x85bd9cdb, 0xbec07ef8, 0xc5a55147, 0x01861a19, 0xe7ebb5b6, 0x3956cb3d, 0x49cd5c1b, 0xc3c76fcd,
+    0x867d7af2, 0x594cbf65, 0x8a189ecd, 0xcab4a774, 0x3ba6a486, 0x9e349beb, 0xa7c7777d, 0x36b5b51e,
+    0x56a2fd36, 0xe645b58c, 0x1e9abcef, 0xf29fbcc2, 0xa5b48556, 0xa3529c0b, 0x28bbb9bb, 0x56e207e8,
+    0x822ee626, 0xf564eab4, 0x1c59bac0, 0xf78de8c3, 0xc004f200, 0x16c4515f, 0x5f47fab9, 0xf645246d,
+    0x39caeb84, 0x46c55388, 0x75cf39ac, 0x35dcd645, 0x0fd92365, 0x3a064249, 0x309d1eda, 0xd060a1d1,
+    0x7e458950, 0x5e7d7321, 0xea4ae500, 0x46228ee7, 0x63b1cb6b, 0x84108d36, 0x77ebc479, 0x0f244fc5,
+    0xbca63f3b, 0x08b426ec, 0xef2dc1ed, 0xe77e0a52, 0x917f391b, 0x1cb6c567, 0x169e3f36, 0x3bb03b02,
+    0x5dda839e, 0xfdcf3190, 0xeebd8587, 0x73f5a39b, 0x622816a0, 0x55d565f7, 0xc3dc94fb, 0x502960ea,
+    0x2afb92b3, 0x2ab9dec5, 0x05993b2b, 0x848782a6, 0x9af74fab, 0xb95f27fc, 0x85132672, 0x992be552,
+    0x0da9edcb, 0x407ad852, 0x17337a6b, 0x5c7fa4bc, 0x409101ff, 0x66e8ae18, 0xce255e93, 0x8904fd56,
+    0x8c3897e4, 0xb30e59c2, 0x8c695f27, 0xff52ac0c, 0x80aea111, 0xa4f36154, 0x2d68f57e, 0xdf44393a,
+    0x74c09fa6, 0x4534928f, 0xa34537f7, 0x0eeac5ba, 0x4543586f, 0x42c8c93b, 0x7260fe7e, 0x9725a402,
+    0xdc272f80, 0x1072e423, 0xd9105708, 0x98b6fd78, 0x3716bc0c, 0x49fc44d5, 0x952175f3, 0x83040ee4,
+    0xbc818d40, 0xcb49f730, 0x11ce0acc, 0xefad6d18, 0xaf897885, 0x15347473, 0x20554cdb, 0x5de83792,
+    0x2d0d56ab, 0xb56a8661, 0xe1e28379, 0xb073929d, 0x198548ab, 0x06fb9f34, 0x2a2e00c7, 0x292b17c5,
+    0x610d3b06, 0xd364cf46, 0x279d6f81, 0xf055354f, 0xeabc7095, 0xe8bd8e93, 0x3d54bc5c, 0x39df557c,
+    0x47e4520a, 0xcb547ae8, 0xc59ef583, 0xfa8b90b9, 0x203fb6df, 0x5e3472dd, 0x806cae98, 0xee067c39,
+    0x5ebdb6f3, 0xb22f986c, 0x110a2631, 0xb92a41a9, 0x0c7bc9e4, 0x9d4a94ef, 0xf7fda432, 0xd73b40bd,
+    0xceda2de6, 0xe17398e8, 0x6af3368e, 0xfa890454, 0x9bb5ef9d, 0x3248e7a7, 0x1a901de9, 0xa5c97b39,
+    0x3b22c446, 0x013c35e5, 0x5e4c172b, 0x40f40442, 0x5dbfa380, 0x3886931d, 0x03a353b9, 0xdb02e9aa,
+    0xd967c1cb, 0x97e8e021, 0x15e79e4f, 0xcb05140f, 0x72f3739b, 0xb5df3f7c, 0x1c5041cc, 0x8c7f3bc5,
+    0x255bc934, 0xc8c31332, 0x5b1b686f, 0xf6628017, 0xb846892d, 0xfad7cdc3, 0x2b84705a, 0xff010226,
+    0xa81533fa, 0xd5693d7c, 0x8c384086, 0x16b49454, 0xe5cc2601, 0x8d8ba91f, 0x9194584e, 0xe24359f1,
+    0xa41dc7ae, 0xfa7df681, 0x683812d3, 0x2fdeabce, 0x5f798c09, 0x86d3869f, 0xb6288424, 0x71d5d3b4,
+    0xd3da60b7, 0xdfb566a3, 0x1687faf7, 0xc91afdd8, 0xd6082aff, 0x0c427eb4, 0x471b97c0, 0x8e2a2b1b,
+    0x0ccf43dd, 0xbf28d937, 0x9781399b, 0x0723f90f, 0xbbde8128, 0x1fef48c6, 0xdfa11ddc, 0x46aa8a40,
+    0x09a348ea, 0x7799dd9a, 0xbedfb88f, 0x73e10a47, 0x1121d01f, 0x28cc10c3, 0x38b1df2c, 0x86522f4f,
+    0x2a533c49, 0x8ccc8bd1, 0xf91cb510, 0xd020f508, 0xc81b4d69, 0x51c28552, 0x7722b314, 0x145cf8a5,
+    0x87441b8b, 0x23362757, 0x0ac5356f, 0xb6e9eee2, 0xee92c1e2, 0x12afd06f, 0xf0a62bf7, 0x495a9908,
+    0x61932c60, 0x6f6e0af8, 0xa18fe68f, 0xe620146f, 0x4fd1c8bd, 0x39d2e6f1, 0x78511047, 0xbdb8dac4,
+    0x01f31791, 0x14f36abd, 0x1f5a6be4, 0xa9e9d1d2, 0x29b8aa09, 0x535434f7, 0xe5d072f7, 0x9d0ab2ca,
+    0xde04eb11, 0x9492c723, 0x3e0f2b8d, 0x08f8ed03, 0xc16c6edb, 0xeac7b398, 0xc882b671, 0x35df75a2,
+    0xae708760, 0x5fc999f5, 0x03dd2153, 0xf74d9bca, 0x2c8d25d2, 0xf7a45142, 0x80567ca1, 0x4f6222e4,
+    0x03a91aac, 0x22ddd0d1, 0x8cdc2400, 0xb58a750e, 0x97c92da0, 0x1d87e2da, 0xdd139a48, 0x96b264db,
+    0x2dc1d40e, 0xce9a12ca, 0x01625d78, 0x1a7c8f28, 0xd87de99e, 0xe231c726, 0x96ca61e6, 0x8248631a,
+    0x4a6c406c, 0x5e03212f, 0x14a1059a, 0x30f6d183, 0x71b4fc53, 0x994dac67, 0x39be64c8, 0x2e144076,
+    0x941be968, 0xadb8145e, 0xd3b8d11d, 0x29e0707a, 0x8762ff4d, 0x06b77c7b, 0xaf50f5ee, 0x75e19134,
+    0xb50ac846, 0xc155fd9f, 0x2ac58dc7, 0xd3f3d334, 0xe9fae49d, 0xdb77b0fc, 0x27fc1dab, 0x3866229e,
+    0x1fdd0fd5, 0xd1989944, 0x84563690, 0xd6e858b4, 0xba76f091, 0x10c4fe61, 0xf6e14a63, 0x1963c71a,
+    0xe600e765, 0x3442a0b8, 0x60ad3d45, 0x3a267543, 0x5e25b2cf, 0x9887cb95, 0xcfac359c, 0x209ca2eb,
+    0xb91916af, 0xbd4de361, 0xf4cfb039, 0xcf97563c, 0xf891f1eb, 0x35a8ad7f, 0x0c534a2a, 0xed573730,
+    0x159cb474, 0x6cb6ccd9, 0xbb24ddb7, 0x02c736f0, 0xf157479b, 0x19bcbb58, 0x1d927e20, 0x0c8123e2,
+    0x02214a13, 0x75922c5d, 0xc19f3990, 0x214b0626, 0x17ea0f7f, 0xd93de9ad, 0xf5e53e46, 0x820c0d0d,
+    0x74fa370a, 0xf4c9d714, 0xf9527c9d, 0x37b1d452, 0x272713d5, 0x8223f0d4, 0x03ecde1d, 0x918e62e6,
+    0xe32265eb, 0xb00656b0, 0x270698bb, 0x1f3c7d7f, 0xa08c12fe, 0x52777c9d, 0x72b8aa86, 0x4cb1eeca,
+    0xa5c6ccf6, 0x2fccd7c3, 0x55eb7daf, 0x0662e068, 0xcfce9f14, 0x926032c7, 0x6051d729, 0xb76b2a12,
+    0x343c23ac, 0x401f499a, 0xe40bf8ad, 0x8c87d644, 0xd8a66648, 0x815073ff, 0xa4c6e7ee, 0xca31b456,
+    0x8bdc225c, 0xe2c02cb8, 0x9465ed42, 0x0b309dcd, 0xfd8c6c8d, 0x8cd3742e, 0x643d20a6, 0x0560547f,
+    0xc0437a2c, 0xd7aebd23, 0xe348ae0b, 0xeb3e422d, 0x22cd4f99, 0x55eda6d6, 0x45cf9ec9, 0x5ec6f240,
+    0xd2fc6f34, 0x47590ef6, 0xa21cf72a, 0xe20f48a1, 0xc7f3b4dd, 0x1a051f85, 0x6835e94f, 0x08c77677,
+    0x89872a94, 0xcaccabe9, 0xf023df74, 0x9dd6e84b, 0x11a23d94, 0x90a79ff7, 0x4dca3597, 0xd2d09a50,
+    0x6088f6ed, 0x7c8ca683, 0xca1dc6b7, 0x35f3698a, 0x375e438c, 0xfe56769a, 0xb4d3d5f2, 0x3377b6d4,
+    0x3dfd1719, 0xe7f0081a, 0xec2bfbd6, 0xee61056a, 0xb98edeb2, 0xa8fa5daa, 0x72823f64, 0x0df76bdf,
+    0xafd05267, 0x68cccadf, 0x010a99d9, 0x7301e707, 0x3317b544, 0xe939305c, 0x8037ad4c, 0x91dd6411,
+    0x6e833c54, 0x2a73428b, 0xc7c19eca, 0x70359550, 0xb42811e0, 0x7fa94b5b, 0xd5535a58, 0x8dad72ea,
+    0x00000000,
+    0xa3715fc8, 0x934f0979, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000147573952589676412928 */
+  { 0x00000000,
+    0x9cce7531, 0xc8cc36d9, 0x0f6216b1, 0x57b202c2, 0x9a852ac9, 0x7f65ebdd, 0x3efe8bca, 0xbc827c4e,
+    0x28058065, 0x5ee8a699, 0xbc8cf099, 0x7686aa9e, 0x37b0012d, 0x8583e2ec, 0xdedeb8f6, 0xf144e556,
+    0x7af69b21, 0xea6515b8, 0x3c9d8d1e, 0x06fc2891, 0x2135dcd0, 0x36a00cc4, 0xa7313ed6, 0xf7e736b3,
+    0x0cc004ad, 0xa60dbfac, 0x931b6246, 0x9ae95f69, 0x581ca97a, 0x56c7ccf5, 0x75702eb2, 0xf14f9576,
+    0x825d33fb, 0x07d6490a, 0xd26bb411, 0x0841f26a, 0x51cc2e30, 0x00518d88, 0xf1a59c86, 0xf5746107,
+    0x96df0771, 0xba0db78f, 0x0b9c7c1d, 0x45a00ab5, 0x30e633c5, 0x8993d56a, 0xefc7b61a, 0xf22c3a23,
+    0x5a1598ba, 0x2b594efe, 0x96d11a1b, 0x54c2ab3e, 0x79a6feb5, 0x873a8784, 0xb428fc15, 0xf4161689,
+    0x1837d3b1, 0xd02d6e3a, 0x7ccd6272, 0x76c2c8e8, 0x4c9d6591, 0x317f3baf, 0xbfa7cae5, 0xfac40b57,
+    0x959ca21c, 0x6d6f8869, 0x7440864b, 0x3d70cb50, 0x0f50dd34, 0x205178af, 0xc4d94045, 0xdbec5afb,
+    0xd7487683, 0x09a61428, 0xa4897059, 0x04955713, 0x6a27b16c, 0xfc63f9bb, 0x7c316124, 0xeeb4a859,
+    0xe00d706c, 0xe27c2a36, 0xc4950295, 0x10d63269, 0x27b68ed3, 0xf5144ba5, 0x077cf50a, 0xef456016,
+    0xf2632a54, 0x9cb4337b, 0x6a85857f, 0x140f7f2d, 0x8c675ea2, 0x3cf5e27c, 0xed9a292d, 0x0f5b0466,
+    0xbfd39746, 0x203b7d53, 0x0b54ed2b, 0x60fa7237, 0x42ea783e, 0x7e5b9e3f, 0xe25f347c, 0x7f39d1e7,
+    0x93569294, 0xe2f47fd1, 0xea0ade3c, 0x969579d2, 0xffe8ffa8, 0x579af2ba, 0xdb1979b3, 0x580ac814,
+    0xe020802e, 0xb2b86972, 0xe04acc7c, 0x6388677e, 0xfbf76f18, 0xcd129d6d, 0xd71ccda0, 0x3e559f1b,
+    0xb100fa99, 0x0e72d2c0, 0x35f35711, 0x9f132279, 0xf5eb10b7, 0x6bd641a7, 0xfba8aa83, 0xcf42ad0a,
+    0xf6dafe87, 0xc57b3b4c, 0xc57198d4, 0x83593900, 0x29595ea3, 0x073e1ca3, 0x5f1ad925, 0x58dba4ab,
+    0x18536f62, 0x5c81e08d, 0x20fb4477, 0x23c042ac, 0xe3a3273d, 0x150e884e, 0x4bab225d, 0x5c2d74d2,
+    0xbe82ca49, 0x766b2bfc, 0xdd63ee5c, 0x7c393791, 0x3ad517aa, 0x58f4e850, 0xa1377110, 0xaf5de0df,
+    0xdb73a05e, 0xdab5e43d, 0xc1aadd15, 0xb77bece6, 0x2474842b, 0x881f66d3, 0x12fe9233, 0x377ac122,
+    0x645d8d1c, 0xb5061199, 0x0d3d48fa, 0x5057985f, 0xd278e442, 0x748ff1a8, 0xcfcd12b7, 0xe39c284f,
+    0xfbdd37ed, 0xfa6d8d27, 0x2041a9e3, 0xa3a8282f, 0xa2c7f932, 0x39df3398, 0x98f98638, 0x00050064,
+    0x15f66de8, 0x9f32e95d, 0xb479dddf, 0xbf8f624a, 0x08bfb8ad, 0xbccd66e4, 0xe8cbdad9, 0x5654ff4f,
+    0x6cbb7158, 0xf0ab6b30, 0xab8d7356, 0xb84fb290, 0x38470ab8, 0x8815a0cb, 0xf8f1435e, 0x10f40901,
+    0xfd96b7e3, 0x10ce4529, 0xa57d644c, 0x06a6e40b, 0x008a0d32, 0xcc145e83, 0x16b13c55, 0x29ea27e5,
+    0xe5aed8bf, 0xd66b772a, 0x56325b91, 0x2a67b4de, 0xe5256d95, 0xfa3dfeeb, 0xa5cbeea2, 0x69b1a828,
+    0x05804f1f, 0x6c7f295f, 0x8da6fa69, 0x5968d3b7, 0x4e07971c, 0x0d3da6b8, 0x891a0509, 0xaefd9159,
+    0x8a211d33, 0x6bbaee06, 0xbb8d0f0a, 0xe9a67359, 0x5fb39668, 0x1b46f507, 0xc055025e, 0x6adfa19a,
+    0x4a3b862a, 0x15c90810, 0x1700d955, 0xe9e000f3, 0x4b425b87, 0x73edec6d, 0x9a125160, 0xc6b11a5a,
+    0x632b136e, 0xeaa4ae37, 0xbbe00609, 0x0eab1031, 0x20f7eca0, 0x58eeab9c, 0xcb6cbb0a, 0x3acc5ade,
+    0x8ddef7ed, 0x14888f54, 0x8309a007, 0x413599f8, 0x6be9d528, 0x350248a2, 0x403355b2, 0x6065f0b7,
+    0xcf4bad1b, 0x9200505c, 0x640d9f0c, 0xe919da1e, 0x189ee960, 0x3765080b, 0x2fd33260, 0x32f1344f,
+    0x4c9c7e03, 0x411b46e1, 0x63b1ed00, 0x03095cda, 0xb60a2e1e, 0x3301fefd, 0x370122a8, 0x75c9ca36,
+    0x1edecea7, 0x32549d29, 0x7107ff2f, 0x49fbe20c, 0x9315fed7, 0xc0f02dba, 0x5881f10d, 0xb4bfbd0b,
+    0x54bce0f0, 0x92493599, 0x5f1c3d43, 0xf5be9e53, 0x50fba58b, 0x3c5030ce, 0x56f5a014, 0xae4cca4b,
+    0x337001e9, 0x6220f134, 0x306d8f6f, 0x8bb73281, 0x3050a47e, 0xd018e34e, 0x76fb6851, 0x749bd1f2,
+    0xbc0efc8b, 0xee3fea5b, 0x9df1c916, 0x4c134627, 0x2451026a, 0x68df198d, 0xb0932e40, 0xd973aac0,
+    0x70abdd8f, 0x7a14d3d7, 0xadd61acd, 0xa491470b, 0x5beb5ea3, 0x47d787a9, 0x8f565aaa, 0xf60fcf7a,
+    0x377553da, 0x9ed9bbd4, 0x19d5af74, 0x98cacc17, 0xb952f521, 0x335b90cd, 0xa9467cc8, 0xcbe3da79,
+    0xe43a2cc3, 0x1dce65cb, 0x8de7fe0b, 0x56ee8c0a, 0x7acc8b6f, 0x2ceb2f71, 0x26c23a0b, 0x3daa6747,
+    0xf1bc0b3e, 0x9042928b, 0x39f80053, 0x13f36127, 0x0ad05331, 0xa0e570e9, 0xf087ed95, 0xb8737a01,
+    0xaa5d35e8, 0x06c42c7e, 0xed602b36, 0xfcd49890, 0x6f1936fc, 0x1701de79, 0x860d9816, 0x1cf8a31f,
+    0x681b7940, 0xe1590f59, 0x49f686ad, 0x125b0f11, 0x4f9c4e6e, 0xc0e485cf, 0xd925531b, 0x4aace85e,
+    0x0853d9fc, 0x2f39938b, 0x9b96a347, 0x1ae63c89, 0xaa5fafc7, 0xd5b1661e, 0x4487253e, 0x40bc8983,
+    0xfbc60bce, 0x27a074f8, 0xe9e5306d, 0x4e3f013a, 0xeabdbca2, 0x3b38ecd6, 0x31e1b1ff, 0x22361368,
+    0xeb9fbc53, 0xb8b4783a, 0x50500096, 0x47bd8cca, 0xfea1c7d8, 0xd20ba209, 0xbfaec2e6, 0x1a488e7e,
+    0x5eb95d09, 0xe34faa9a, 0x66bb29c8, 0xb239189a, 0x99793a5e, 0xaed3e0fc, 0xb318de8c, 0x61f942bc,
+    0xabdc15ba, 0xb31b9a64, 0xa94bcf0b, 0xe0ffc3ee, 0x05841e1b, 0x6f2f45ab, 0x78bc503c, 0x2ed6829f,
+    0x6f2cfd54, 0x343b4a7c, 0x1fde9ef6, 0xa7a02f98, 0x084dc9d0, 0xa630d9d3, 0x2c597663, 0x4e5d6d69,
+    0x9c4fbff9, 0x80d95680, 0x72c15c36, 0xbc203460, 0x04b2d5ba, 0x7c2adfa4, 0x8ce34ef4, 0xff5ffce4,
+    0x5e3632f2, 0xf8e3c286, 0x4aa785ea, 0x66ec0566, 0xa8ebf46c, 0xcc9d7a3e, 0x995b5896, 0xdb8346ce,
+    0x6d680cec, 0xa7db2fb4, 0x017a2d4b, 0xc499fd84, 0x7961351f, 0x0d5999c0, 0x7056b732, 0x19cc8d57,
+    0xc0cb841a, 0xe7681b8e, 0x265eb8e8, 0x77f57cf6, 0x837e447c, 0x8d6f5ada, 0xb4506750, 0x41179715,
+    0xf4b9ea87, 0x6849856b, 0x21031b30, 0x6fd7dbb6, 0x34a492e0, 0xeaa1e229, 0x7d6dac5c, 0x7cede8e0,
+    0x33dc15d8, 0x5a3d41c2, 0x6aecd431, 0x6b2be8f5, 0x99a5d01b, 0x90e0790b, 0x3da89ebb, 0x1d73cdbd,
+    0x91dcac46, 0x773d0b0c, 0x53dbabf7, 0xc3b8c413, 0x00d3a175, 0x9bbf36f1, 0x0bdef6d2, 0x86a157ea,
+    0x053327d0, 0xf6de098d, 0x1b08d3ef, 0x5320d546, 0xf1423cc2, 0x50b39788, 0x0c2e0c66, 0xfc90a437,
+    0x018df0df, 0x946d7838, 0x24c1acb3, 0x6576fec1, 0x573b4980, 0x201f2584, 0x921969dc, 0x4a258e06,
+    0xaaf86906, 0x415e54ef, 0x12999b08, 0x45903c68, 0x5face06a, 0x9a32e193, 0xbf839cf4, 0xdcc750fb,
+    0x9709ab9f, 0x9d596b79, 0x96cbb59d, 0x80b5be1f, 0xa6297b9c, 0xf53028a4, 0xf82b91fc, 0xfbb8661b,
+    0x8d723571, 0xe569349f, 0x8787b01b, 0x09dc13d6, 0x0df45e70, 0x18d7cbc2, 0xc6c89fae, 0x4da18dfc,
+    0xe4e67cdf, 0xdd213bce, 0xb38bbca0, 0xc39879fb, 0x3656efa5, 0xfc276288, 0x56db998d, 0xa767f5aa,
+    0xc38a3422, 0xa6025fcb, 0xaad1bf8d, 0x02a7408b, 0x7c4371ef, 0x721ded6f, 0x03e58a86, 0xbedeea00,
+    0x55f9796e, 0xe16b94f2, 0x30151e00, 0x2ac4caac, 0xad7785af, 0x38878c93, 0xa8b378f0, 0x28d883bc,
+    0xa9e62e18, 0x737ec1bd, 0xe26c8f12, 0x6a537d7a, 0x28b34c98, 0x6a1dc686, 0xac004ac5, 0x8dfd74e4,
+    0x5dae5062, 0x0e85757a, 0x1ce5f7b7, 0xf55ceead, 0x27c8a994, 0xbadce19e, 0x4ca8e1d7, 0xa53465ba,
+    0xab44e43c, 0xd7ae1e86, 0x4cdf77f1, 0x4629df4c, 0x71d3788f, 0x27b05d3e, 0x22adc91b, 0x368256da,
+    0x5b353cef, 0xfa97075f, 0x64119918, 0x4f412df8, 0x36b1ccb9, 0x31da687f, 0x6eb6ac14, 0x1f01381a,
+    0xc9744622, 0x08337922, 0xb71ae93e, 0xafb8e38f, 0x28b49297, 0x83b6aac8, 0x370a9e2a, 0x73662f5c,
+    0x9556d695, 0xb9482037, 0x4fb7d3cf, 0x57d64ac4, 0x75b6270f, 0x0b525519, 0x8d1ff58e, 0x8c6ce994,
+    0x96c25285, 0x34c1f812, 0x27cd095c, 0x72fc9a8f, 0x59a825e9, 0x6afba15c, 0xa5aa7935, 0xe3f1d09d,
+    0x52f5da41, 0xaa3295f2, 0x02b0dcd6, 0xb2d08397, 0x64467c07, 0x54b2d5b9, 0x41398e3a, 0x06a025e6,
+    0xdb79b4d5, 0xeb5a1aa1, 0x1f0dae5e, 0xbd561803, 0x3c83410e, 0x5179aaf9, 0x45bc9a44, 0x82a6ffd3,
+    0x24f2dfb7, 0x41c68338, 0x4442a9c9, 0xc09c254d, 0x9506d08a, 0x6409cf5d, 0xae464f0c, 0x36a7856b,
+    0xde5988d3, 0x95fdca09, 0x7ea83691, 0x745a863d, 0x55920a9f, 0x30f76322, 0x6c8e9f20, 0x67cf530e,
+    0x51bd6f23, 0x532a11e6, 0x6795ffcd, 0xdf5bdbd8, 0xaaff5ca1, 0xc96e90c1, 0x2898a35f, 0xde3fa17f,
+    0x2c8dc4e0, 0xbeb949b7, 0x423fd0e0, 0x40cff66b, 0xda1579e2, 0xae3e1640, 0x9c4c121a, 0xa0c69f50,
+    0xde442313, 0x24bf28ea, 0x2c7221e8, 0xaabf9939, 0x1493e9d5, 0xa420ee06, 0x7c437a75, 0xbcecd1b5,
+    0x16ede56a, 0xc5c73d92, 0x7a9058f3, 0xe77a0d20, 0x26715b9a, 0x121e9a7f, 0x8c26b7e8, 0xccf8f6f4,
+    0xa3990687, 0x28c221b0, 0x6dccc249, 0x179b97d9, 0xfa37b69c, 0x05cdaf74, 0x387883ec, 0xf41b4c7c,
+    0x6cb90c2d, 0x385ce837, 0x605ac6cc, 0xe3e1140a, 0x54d51e31, 0x95fc5bfe, 0x2941c181, 0xaac09cdf,
+    0xe4656c52, 0x1e1f8bd0, 0xa814a747, 0x7fba8d70, 0xd8f2218c, 0xdad82172, 0xcbafd432, 0xe73b5533,
+    0xc39ef72d, 0xec4372dd, 0x7593a740, 0x25a3ca57, 0xb0fb0c31, 0x6fbf0609, 0x38a96286, 0xc8ab1509,
+    0xd10fe48d, 0xd5cf76a3, 0x9baded49, 0xedf66bf0, 0xd142a0fd, 0x787dfef7, 0xfabbf3aa, 0x7df807c2,
+    0xf60c3616, 0x862b7a4e, 0xcf599f3d, 0x4ef3f720, 0xdc9b2596, 0xc7b74ec3, 0x0d0ffa68, 0x189cc04f,
+    0xd7c6365f, 0xf50e9979, 0x8623130e, 0x5d21655c, 0xd4590556, 0x88515237, 0x83db099c, 0x0ee74fe8,
+    0xbf297d6a, 0x56236828, 0xa4e4ffaf, 0xdcefe22f, 0x6e181673, 0x1af177e9, 0x4ce4058d, 0x4f36e3af,
+    0x89866bd9, 0x72ff867f, 0x500a3d86, 0x063ce7be, 0xb9e3ff91, 0x1285ccfe, 0x10b115c9, 0x5f1489f0,
+    0x4cadc076, 0xa6b59495, 0x42f7e5cf, 0x13788cc5, 0xb5ecb057, 0x68178aea, 0xb6491656, 0xbbadca2a,
+    0x70f5e51a, 0x1bb995b4, 0xf1ffe118, 0x7f030353, 0xac50e249, 0x04635395, 0x25e35709, 0x1bb6d19e,
+    0xc3ce2fb6, 0x7489ff38, 0xbe71e2f5, 0x42cb9296, 0xf63254bd, 0x5212a23f, 0xb2630110, 0xa44742d7,
+    0xad9d4f60, 0x72749829, 0x7a6cf124, 0x85fa4a82, 0xedd6a7f4, 0xe47a8ca7, 0x6f717a29, 0x9089c283,
+    0x933ec5b0, 0xc6b85d3f, 0xa4162fa9, 0xc7acdc79, 0xafdb606a, 0x17c1fb4f, 0x1a9a6a63, 0x01da9c67,
+    0x2afdcdc2, 0x54de15b1, 0x62b75b86, 0x00faaecc, 0xdce5208a, 0x0e195d50, 0xfc003321, 0x6f78657e,
+    0x771f51b0, 0xe6b5970e, 0x80546168, 0xab32ab7d, 0x2910327e, 0xdeb4622c, 0x5bce6c4d, 0xd7dfa18a,
+    0xf7838310, 0x24ac5ffc, 0xe5e83c08, 0xccd47832, 0xf10da2d1, 0x4be621d4, 0x81b92b75, 0x76e06441,
+    0x62f88914, 0x18d52617, 0xb2f7e7de, 0xd63bef7f, 0x960b122e, 0x2f0c6d17, 0x8f9b7d49, 0x1c2b866a,
+    0x59e4d558, 0xdee4a3ba, 0x669cb1de, 0x6118edef, 0x96f4d82c, 0x62ef3a61, 0x75ba91b9, 0xa60870a1,
+    0x3c6e00a3, 0x374244cf, 0x799cbc8b, 0x4a7a44ff, 0x0fc1af3a, 0xf4ea1ef3, 0xef3bfbe3, 0x3f7b1831,
+    0xa9b6b800, 0x2d7d2dc4, 0x596b4e4e, 0x4d8ed0d1, 0x4d81469b, 0x4ae97060, 0x6472feb7, 0xaf5d0196,
+    0x49ac22da, 0x305c6365, 0xe885a826, 0x079a2580, 0x054c3b96, 0x50de360a, 0xfab4e9c9, 0x685c34bd,
+    0xad05b2a9, 0x32cc19cf, 0x489840b4, 0xb529c7e5, 0x354fb775, 0x736c3a0b, 0x644ce8f0, 0x1eede068,
+    0xd2abcb4f, 0xf489ae9b, 0x95989fed, 0x9a3eb5d6, 0xe71791c3, 0x2502e93b, 0x618803b6, 0x8de91b1c,
+    0xbcf17978, 0x345320df, 0x94e69966, 0x7585e7ba, 0x8c6ded9e, 0x9f809987, 0x03a09010, 0x5fce7384,
+    0x24ba3fd8, 0x300d155f, 0x2922edb0, 0x4775f3ef, 0x13547293, 0x1f6e8064, 0x682a7b20, 0x76d96e85,
+    0x4999be6f, 0x3ce53f9f, 0x967de748, 0xeafe5634, 0x6c80dc33, 0xe1a6dacf, 0xeb593223, 0xf5382efa,
+    0xc5ac8148, 0x0b89673c, 0xcd145594, 0x54e58832, 0xd30bcb5e, 0x3320a8bc, 0xfe772112, 0x1f0d48b1,
+    0xcc37bee7, 0x7860fbec, 0xaf7adb3e, 0x04a9ede0, 0x95d265b1, 0x15aa8950, 0x98988e67, 0x1b146f9d,
+    0x7c6c43d8, 0xe2ae3ec3, 0x14421966, 0x293fa944, 0xbaaf994c, 0xb0205f53, 0xb6afc98a, 0x1580f2e8,
+    0xb871d9a4, 0x90756cc3, 0x18f4fc5d, 0x33796cc1, 0x4f49a36a, 0x3ee80f0c, 0x0f8b4b07, 0xcf489ed7,
+    0xa7da5a0c, 0xfbd79ddf, 0x55be303d, 0x1701467f, 0x1a9c8aca, 0x03af8b8a, 0xbdf47965, 0x69e2808e,
+    0xc31ad766, 0x314a0317, 0xf56aaf4a, 0xe0c11379, 0x10d2fe06, 0xacaabcf8, 0xd1bbb841, 0xd5819c2b,
+    0x667858ef, 0x72c36fd9, 0x755e87d9, 0x1b12d139, 0xe0b904c1, 0x8bf0f8ee, 0x8c2d98aa, 0x8fcebd0d,
+    0x1a35c819, 0x0ac653c6, 0x114a8df6, 0xcbc61653, 0x9c88914d, 0x9b1653b4, 0xfc576f4f, 0x12bd6f46,
+    0x7f52f6c1, 0xf3923314, 0x8ebeb167, 0xa431f546, 0x380e8399, 0xa517b73c, 0x3823ebde, 0x8465d078,
+    0xe377bf00, 0xc76b3462, 0xf539a9ad, 0xf7e8d902, 0x788a4ed6, 0x1221f0fd, 0xa3a82483, 0xc3c7b280,
+    0x1753e2ca, 0xc0ab13a6, 0xc679cc6c, 0xd1107cf5, 0x0738c459, 0x45d2d333, 0xb4fb7751, 0x4f5f55c8,
+    0x54dbf275, 0x10461728, 0x2f471434, 0xb0ec119f, 0xc632fb37, 0x57e9dd5d, 0xe7ad2e31, 0xd36cdfa1,
+    0x2c640e0d, 0xe9524a80, 0x7ae2eb28, 0x4378f030, 0xd2318c7d, 0x51356cd3, 0xc910c215, 0xc1952b5a,
+    0xb42f24ae, 0x5ef8ca74, 0x3091cde7, 0x696b3814, 0x47ab7dc7, 0x7a572bf3, 0xd807f853, 0xa0251537,
+    0x28a577e9, 0xcd3128d9, 0x1175758a, 0xbffe692c, 0xcf3b4e74, 0x4bedd3c5, 0xf4fb0caf, 0x1d895be4,
+    0xf1edbed0, 0xf5e6530d, 0x9f6ad3bc, 0xab4c0915, 0x5ea1dfc8, 0x61ea7917, 0xc7377106, 0x0cb6bb64,
+    0x7fcd568a, 0x0cb816bc, 0x459178ee, 0x0d95ecf4, 0x1d5dba2a, 0x3dce8e04, 0x383fdc2d, 0x4693c1b7,
+    0xcc9ae77a, 0xfd517d6d, 0xeb21b64f, 0xec04ee76, 0x54bebfb2, 0x31632a0f, 0xc89d4778, 0x64055c1a,
+    0x82f39efe, 0xf11ae1da, 0x2299a7c6, 0x34bb6169, 0xbb10dc49, 0xdd23652a, 0xaaa81b51, 0x90e5bfab,
+    0xd31d9977, 0xc26beb34, 0x08a0a931, 0x82da00a6, 0xd4ad4734, 0xc656bd49, 0x943c2b4c, 0xbe72057a,
+    0x00000000,
+    0xd1b8afe3, 0x49a784bc, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000073786976294838206464 */
+  { 0x00000000,
+    0x7af63121, 0x168f90cd, 0x97c7bf05, 0x607fef46, 0x9936248f, 0x678e6993, 0x95c61523, 0x5992c5ee,
+    0x0d63b50d, 0x11f0e316, 0xc8a62532, 0x817288fe, 0xa3bf92a7, 0x3f45dc9b, 0xf64360c3, 0xd002d137,
+    0x9b93c6e0, 0x82a8a5f1, 0xe16c6340, 0xf1a30b23, 0xd6479a85, 0xc7905118, 0x902bb263, 0xc42194af,
+    0x0163e20e, 0x90d78fd1, 0x772d4f24, 0x562b2387, 0xa5d00ef1, 0xbb5b1c8a, 0x6e4d0b07, 0x75c8769c,
+    0x23137fa9, 0x8f4b89ee, 0x76f26fa7, 0x869950ec, 0x4bafccf6, 0x7078f45d, 0x01dd01bb, 0xf74037cb,
+    0xf231718d, 0x08ff2908, 0x459b56e4, 0x647dff0d, 0xc26b8fc1, 0x38338cbf, 0x06e314cb, 0x3cabcf87,
+    0x1acab715, 0x3a08f8dd, 0xb207d5ff, 0xbc4ec317, 0xdc34c1ce, 0x892ae3b8, 0x741f55c2, 0x1440769b,
+    0x0564cbf4, 0xd5d4679b, 0x2c844113, 0x91924e18, 0xbe126aae, 0x03bead23, 0xc52eeb56, 0x01ec7e4c,
+    0x3cae165b, 0x41d82b51, 0x571f550c, 0x9534d17d, 0x2ce79283, 0xf74644c6, 0xc3876aae, 0xa600adba,
+    0xc5c41090, 0xadb27f9c, 0x2f724a1d, 0xc41383d9, 0x0c387660, 0x336d432e, 0xb898566d, 0xd235fb03,
+    0xb97a9ae0, 0x51d4a20e, 0x56f82dae, 0x9ff19628, 0xbd9e523e, 0x2abbee23, 0xda6795f3, 0x1deb1161,
+    0xa1eaac27, 0x1769d3cc, 0x4f439310, 0x51e88e45, 0xf12e0939, 0xd1cb6e31, 0xca7f21e7, 0xde3f0260,
+    0xb9b0ffcf, 0x1a414231, 0x623cbf61, 0xb33fa559, 0x243e7d4a, 0xa7a4da2d, 0x5a6052bd, 0x81d48bd0,
+    0x24b28b58, 0xfd62bbbf, 0x7dd39322, 0xd570741a, 0xc85dd9e3, 0x63fb60d3, 0xa5f41c36, 0x7e0b7d24,
+    0xc0c6509b, 0xca4fad12, 0x1fe967ea, 0x7c7c3869, 0xd9e346bd, 0x7b76d4c3, 0xe4ed4249, 0x2ccbb94c,
+    0x8ce62b4d, 0x120251e6, 0x942fe9dc, 0xad90b5c7, 0xdb21377f, 0x97073fd7, 0xe0b7d160, 0xbecb87c9,
+    0x96e4d2fa, 0xf0cb8c17, 0xfddb0791, 0x52f43600, 0xd8a8804e, 0x238035ed, 0x83bb13db, 0x4979eb18,
+    0x349dd342, 0xfde514c1, 0xd9536f07, 0xc32806ff, 0x1950e06c, 0x529efcfc, 0xd2542375, 0x99554da4,
+    0xd590ab20, 0xc80e3d5a, 0x21b4ebf2, 0xa09ef807, 0x21ffdcb0, 0xfc96503b, 0x895f3e8d, 0xbdc4d626,
+    0x69340d16, 0x100623c6, 0x34fe3122, 0x66a799a9, 0xaed96a0f, 0xe19a2a30, 0x48fd405d, 0x9f951181,
+    0x94cbb7b6, 0x56cd1cfd, 0x717d1dd2, 0x5262028b, 0x224272a3, 0xe0bdad3a, 0x1872e29e, 0xc04f8fd2,
+    0x9fa67519, 0x3b3f90d9, 0x6cbb45de, 0xb6a46426, 0x2a8e54ba, 0xe9810386, 0x05ae6a64, 0x69d23eb8,
+    0x1da67d69, 0x1671c8ef, 0x0ec23bef, 0x6eb69376, 0x6335c35a, 0x73b0a385, 0x4a4cced1, 0x7f26a7ed,
+    0x950f9a8b, 0x615359a4, 0x206d7336, 0xd1c6d3ea, 0xe7ddc5b5, 0xf901bea5, 0x0ec12530, 0x52eb6e72,
+    0xc4e849d1, 0x94086ce2, 0x028a1029, 0xc0cacf18, 0x59ea3004, 0xf077184b, 0x62f17693, 0x6c6405ca,
+    0xed76eb49, 0x5f45bc91, 0xc7857e13, 0xab14b5a8, 0x1315b36f, 0x276e31df, 0x1d8ffde7, 0x8cd209bc,
+    0x8f978d2e, 0x62978aff, 0x67f2de10, 0x7f0f87ce, 0x4923ff75, 0x9b81bf8b, 0xcf234926, 0xb81221a5,
+    0xe34bd415, 0x0e85bf4f, 0x253acdee, 0xa0b3ef18, 0x35e26462, 0xe884aefa, 0x39e1eb43, 0x642b9550,
+    0x59a0cfb7, 0x13c6c17f, 0x1fbcc192, 0x21ab767d, 0xeeed550e, 0xb57d4ac0, 0xa6abb40c, 0x6465f62b,
+    0xa5ea5e74, 0x7432bd92, 0x04e67776, 0xdff90c88, 0x477f9977, 0x08ba2cfc, 0x8168c0e4, 0x4e98d7e9,
+    0xbcdecd70, 0x60ee8bc6, 0x2f125a8e, 0x092de7a6, 0x9a781c04, 0xaaa98647, 0x956c16b7, 0xa50798ed,
+    0x52bfcca1, 0x6c8689f2, 0xb34cb7c4, 0x16717199, 0x60778d4b, 0x3c27d6c6, 0xd599b001, 0xd280529e,
+    0x3e974117, 0xe28fc911, 0x40990a79, 0xed877d12, 0x7c0b2f35, 0x318cc429, 0xc8d3e5d8, 0x69003774,
+    0xf78c97e2, 0xfd7ee83d, 0xc813b101, 0x6912881c, 0xb89d0b7d, 0x2e59d304, 0x24122f0c, 0xe4ee18d3,
+    0xf3c04608, 0xa53a8973, 0xac5cf2b0, 0x209c0513, 0x07bf3da7, 0x49db8276, 0x5cabad7d, 0xde932837,
+    0xf393a1bd, 0x6a9a085c, 0x9db9563f, 0x20512e32, 0x530f9be0, 0x9dcda43e, 0x60670ad6, 0xbacb4657,
+    0xdf8aeb40, 0xe80df599, 0x84497d17, 0xc0d3fb7e, 0x42157398, 0x29125929, 0x4cdf2bef, 0x70224718,
+    0x173ab387, 0x69a7ccfe, 0xd1be4bf9, 0x04649c85, 0x6920344e, 0xfc4a2377, 0x7f7c6208, 0x678bb762,
+    0x8ed89a43, 0xc550465b, 0x69f59910, 0x8cdc59ff, 0x11514987, 0x84ace3bc, 0x202ad66a, 0x6301bc8e,
+    0x2594be0b, 0x7a175b58, 0x78ac2f9a, 0x234a4fac, 0x1ed190f5, 0xc2d8f86d, 0x8a5513f7, 0xd3782df3,
+    0x9f84dbb4, 0x3f1a98a9, 0xe6afcc79, 0x2a685b4d, 0xbb416ed5, 0x667fdf2c, 0x3d39e192, 0xbcbb6c3d,
+    0x2c4a6257, 0x9b34bc4f, 0x10e9b4db, 0x201cf275, 0x6ccbec9d, 0xf4567c38, 0x9186e485, 0xe0d6d65f,
+    0x10cf728f, 0xe83cb1bf, 0xcd3496bb, 0x57057310, 0x4ad27485, 0x121e651e, 0xa65863af, 0xa5e7001d,
+    0x464ef04a, 0xb023e25b, 0x8262cd73, 0x3d5d8099, 0xc4d4bab9, 0xf073d0ea, 0x668757ca, 0x55cb25ed,
+    0xf9c965c5, 0xe15bc7d0, 0x2d825fc2, 0xe30c2413, 0x3340a9ee, 0x5063e962, 0x7c62bafd, 0x9e8cd13d,
+    0x973e31b7, 0x9ccac8b2, 0x009b4483, 0xbc9e8851, 0x19ffc22c, 0x57b0be4c, 0x413e2678, 0xcf0a117d,
+    0x3bc62a5e, 0x25b9a740, 0xaa1031c0, 0x2ee68450, 0x56012bf3, 0x85186295, 0x48261038, 0x37451f9c,
+    0x77dfa70a, 0x641d04ca, 0x7ebffaef, 0x683f2d7f, 0xd501bca3, 0x0e880822, 0x83da633a, 0xea1a037a,
+    0xff11f9f8, 0xe1999bec, 0x67665226, 0x6dfd0c43, 0xd2407de9, 0x9ed051c3, 0x8e464ee0, 0x77f6eccc,
+    0x2a9cac7e, 0xf95371c5, 0xa884cf10, 0x67c6b1e5, 0xc8c8f2e5, 0x492b3afd, 0x5ccca775, 0xadfcefdb,
+    0x904410a3, 0x85dedacf, 0x589c4e31, 0x4c3f5387, 0xb1c67900, 0xc1e504cd, 0x818483d6, 0x87b38589,
+    0xb452dc4e, 0xb5db3e2b, 0xee352d26, 0xedb3cc4c, 0x44eb248e, 0x84643365, 0x0d869cf5, 0xe84acfd0,
+    0x7623fe7e, 0xb42edfb6, 0x2ad96e44, 0x9c596cdb, 0xaf11b0f5, 0x141d262d, 0x5723180d, 0xd3b09178,
+    0xbcef26b7, 0x06e3baa4, 0xccb7850c, 0xc88cf1b1, 0x9271a6c2, 0xa8db60fd, 0xabb2e3e2, 0xe2f61712,
+    0x06d04cf5, 0x05727e90, 0xce38281b, 0xdb1c3220, 0x328b8ddf, 0x2c282d70, 0x4886421c, 0x22c8465b,
+    0xd501b02a, 0xc02d3cb6, 0x3e852d61, 0xe8870a4c, 0xa4bca834, 0x99c817fc, 0xc9275333, 0x60f8f3a8,
+    0x61f8b677, 0xc7fde9ba, 0x80d0f320, 0xab0be133, 0x541c124a, 0xa8bf4cd3, 0x6e80d1b2, 0xfe03b114,
+    0x7b20dcf4, 0x9dfc6aca, 0xe3387388, 0x4cc95e86, 0x12c81794, 0x52570710, 0x4e692a78, 0x496609ff,
+    0xc8873b0e, 0xc15c73de, 0x5d4c0cd1, 0x9b10442e, 0x10eeae62, 0x7896532d, 0x22b8579b, 0x61f6b34c,
+    0x8d397dec, 0xc8549798, 0xb68c0976, 0xb6a160fd, 0xe4d57433, 0x4fc128d9, 0x197b6a58, 0x181a3be3,
+    0x2eac0aa5, 0x398c150f, 0x8de23b70, 0x8509b588, 0x0f0370fc, 0xd16f5663, 0xddbd3e1f, 0x7aefbf44,
+    0x1ef037ce, 0x1ff06405, 0xfef6f923, 0xf009b3a6, 0x53c0d290, 0x358421fc, 0x85370463, 0x472e0dd2,
+    0x34c07c36, 0x12d69b58, 0x3b6208f4, 0x4080994f, 0xb73d39d3, 0x43a94c59, 0x363f3193, 0xd8bbcd54,
+    0x2416c8ae, 0xf5531286, 0xf0042264, 0xe6302b2d, 0x9425643f, 0xad0c195a, 0x8085499d, 0x2b845771,
+    0xbd087811, 0xc8b1e78b, 0xa1e8a756, 0x963c16ac, 0xc5e5ae64, 0x65774911, 0x22217587, 0xbb3b78a9,
+    0x9e255364, 0xd80df92f, 0x31f876ce, 0xfe8b3e43, 0xace44f7a, 0x9664c7d1, 0x4b5fb79c, 0xbac1b4b4,
+    0x07e90b00, 0x11c8bae8, 0xcb09d7a7, 0xf83441b5, 0xfab330ed, 0x3c080c26, 0x9dc73822, 0xc60c40e6,
+    0x09e04fb2, 0x3f86c850, 0xdd918d00, 0x97dade85, 0x362da96d, 0xecffec12, 0xfbe1aa14, 0xf15d4ee1,
+    0x6a48676b, 0x2739a2ea, 0x596c8c88, 0xbe4b97ea, 0x6b11faeb, 0xe444b2d5, 0x12bfef65, 0xe3ecabb2,
+    0x32f6451b, 0x059d3117, 0xdfe0288b, 0xed9f35ae, 0x25253244, 0x2599f935, 0xb041f859, 0xae5d0d79,
+    0xf535d363, 0x23b21008, 0xd0887061, 0x664ab45f, 0x5e3a0f74, 0x9352f400, 0xcfe9b6a6, 0x9f7b4588,
+    0x33b77307, 0x7bd74b21, 0xcca1b857, 0x0f1b1565, 0xc97e1629, 0x257e6b3f, 0x8a9f857d, 0x1dc059b1,
+    0x9d91f528, 0x14382b30, 0xe5c8f434, 0x1e299534, 0x3c339899, 0xf5b6a8f6, 0x9acaf602, 0x8ca64941,
+    0x6e60f7ff, 0x70efafa9, 0x9a26b326, 0x6ac032e5, 0x115a447e, 0xe9835965, 0x44d56669, 0xa6e00cd9,
+    0xd969aba7, 0xa815d2cb, 0x0e22b1b0, 0x7ceec23f, 0xc7fb6aae, 0x2257dff8, 0xe27abb9d, 0xd9f732ae,
+    0x1eb07254, 0xbcf14a14, 0x58a935fa, 0x8b5b10ef, 0x589bdcad, 0xff9cdfca, 0xe98d7218, 0x2a2afb10,
+    0x858581ea, 0x14fe40ae, 0xe1f73425, 0xf0a58221, 0x86b6060e, 0x03af8ea7, 0x4587fe75, 0x144e65a0,
+    0xf7968a44, 0x4aa79249, 0x1e690701, 0xfac141df, 0xb3ab2f94, 0x8e16dc11, 0xb54aaa4d, 0xd9945adc,
+    0xb6fedd2a, 0x3cc02fca, 0xb8faf34e, 0x9cafa39b, 0x5a540728, 0xc4fcd85b, 0xe606b664, 0xb2b66a59,
+    0xbdd9a080, 0xe977f1b1, 0xc9fe2aa7, 0x348dd10b, 0xe2809b4a, 0xfcdbf189, 0x6d958665, 0x38c115e6,
+    0x4ce6e157, 0x0e08b625, 0xfd375e6c, 0x1420b06c, 0x23e0e447, 0x3a44d205, 0xdcff9147, 0xfe105856,
+    0x336791e0, 0x606c83eb, 0xc12aa742, 0x48c0fe23, 0xb57a579f, 0x15387b09, 0xda946f92, 0x30d63d27,
+    0x9feb93d9, 0x3fcdd923, 0xb52e243f, 0xa1dd47f3, 0xea9bdabf, 0xec218a43, 0xa878740a, 0xed4da661,
+    0x9243ad3f, 0xf8421caf, 0xf603880c, 0x96206052, 0x770b62cf, 0x75d59627, 0xde36e668, 0xae095b26,
+    0xf7b8fcff, 0x193bcc0d, 0xefb3af82, 0x0babcd87, 0x796eb066, 0x585405cb, 0x96ba8d0b, 0x6664a668,
+    0x0878aeb1, 0xc706b4a3, 0x1b739686, 0xb225a3d8, 0x8da57703, 0xac36eb3c, 0x5d9f56a9, 0x99252e8c,
+    0xa9f97a1e, 0xdf066d7b, 0xd6bc82cb, 0x3f3bd7eb, 0x2b080bef, 0xa1d5ee4a, 0xe54d92d2, 0x9285be92,
+    0x82555d4c, 0x7e9031fe, 0xca16f3f2, 0xde85eada, 0x72cad664, 0x8c647d75, 0x0e906153, 0x8706a10e,
+    0x48edeaca, 0xfa9050e5, 0x46b6b401, 0x9658b513, 0xa6e7fd16, 0x1f4ccef4, 0x2f74b12a, 0x06650b41,
+    0x6b4e8ae0, 0xbaebd5b2, 0x522f1af5, 0xbcc6531f, 0x6ffba584, 0x80f9acaf, 0xa3d2285a, 0x34985b36,
+    0x99359c84, 0x1e6d1f85, 0x993e2bd9, 0x7f3b7f40, 0x30ed8ee0, 0x007d7519, 0x57b1fc0e, 0x6ea73716,
+    0x10400997, 0xe877f95d, 0xfdb9573a, 0x66fa8446, 0x3c951c12, 0x416e0725, 0xdeb64bff, 0x66268656,
+    0x539ff419, 0x6a6ba757, 0x9ad458bd, 0xfaefdae1, 0x28082cb6, 0xbca0f164, 0xe7d56107, 0xf185151c,
+    0x5cc68418, 0x60ba1795, 0x06b0acae, 0xa9393887, 0x863c4ee5, 0xa4d44ef8, 0xa11f2679, 0xf5220c2f,
+    0x4e9f5cd6, 0x0c95384f, 0x7f9c4b88, 0x46259ae0, 0x324e4915, 0xee70fdfa, 0x817ea04a, 0xfb00703d,
+    0xc654abf1, 0x1b2d938c, 0xd21246f0, 0xd242a004, 0x0e3a2b04, 0xf06eddfd, 0xee6f48ff, 0x247f93bd,
+    0x558d6df7, 0x902c88ff, 0xc3a6d521, 0x69694302, 0x0c75dc32, 0x082ecf4e, 0xf875faff, 0xd9a4c506,
+    0xf95be674, 0x90b7b034, 0xb39c5cf5, 0xafa68f13, 0x5ef1fce5, 0x9b1ac7f8, 0x0c79dbc7, 0xb643a509,
+    0x13fc5b3a, 0x5c10ea52, 0xceffc830, 0xb36c0384, 0xbc061235, 0xa65b3ee3, 0x036fc5cf, 0xf0171605,
+    0xba4b0527, 0xa18f4b9e, 0x3f77cc44, 0xac2db295, 0x1d576abf, 0x18ca1b7d, 0x769f6304, 0x9b757b9c,
+    0x44f05c3a, 0xfd05acf2, 0x8c6f6343, 0x88b6a78f, 0x5a1496dd, 0x2b1ea97d, 0xa72e5f72, 0xa00c933d,
+    0xcf746ab5, 0x1e9b3991, 0xf0e2fd7f, 0x63ef9ad8, 0xeb3fd705, 0xb8b0426d, 0xf446b2b8, 0x7b6efa65,
+    0x924b6d34, 0x038d1eec, 0x21847957, 0xb33b05ef, 0xfdffd1ac, 0x62e66f07, 0x2d81baec, 0x9a7be29b,
+    0xec6fb367, 0x3d5750fb, 0x0ae3c85e, 0x3ab4b1a8, 0x874f8bdc, 0xaf695716, 0x58dda44b, 0x557a280f,
+    0x9f447802, 0x00a19877, 0xbb01d873, 0x3e39ecfc, 0xfe2554ee, 0xefd36c5d, 0xa09475a2, 0x070165b5,
+    0xda7c17b3, 0x92f0d609, 0xb0168ecd, 0xdf6079d1, 0x5e175b1e, 0x257d6b94, 0xe50e922d, 0xdb6977e9,
+    0xbcd37e32, 0x14082118, 0xd07ef29c, 0xe85bb222, 0x6e3f9060, 0x06cf20a8, 0x46c5a0a9, 0x9767d63c,
+    0xbb43ef95, 0xc2e3451f, 0xe868af4c, 0xd16c1175, 0xda462195, 0xedaaa859, 0xd7366b42, 0xc63c3b6a,
+    0x5326ec02, 0xd4e99ac8, 0xdb3533d2, 0xcc19de2e, 0x8e8a121c, 0x17ccf283, 0xd5ed3704, 0x7e759331,
+    0x49fa5363, 0x41ed3448, 0x6cadd29e, 0xe15832bc, 0xc847002c, 0xd32fb37d, 0x23c4bec7, 0xd3e6e710,
+    0xff8aea51, 0xd8ce74a1, 0x52a0545f, 0x48466fb3, 0x6cd9c9a9, 0x29c41ec8, 0x4e492798, 0x098e91b6,
+    0x7e8c6131, 0x096cb56d, 0x8ac6422e, 0xca89d30d, 0xeeaa1999, 0x3a72630a, 0xeb1faf80, 0x4c911dc0,
+    0x585050c8, 0x3d9aba84, 0xd3cbfbde, 0x01498a9e, 0xad231137, 0x0ab864a4, 0xeb8e269f, 0x6b367466,
+    0x0e35264f, 0x5a5747a5, 0x1eca6cfa, 0xc795c94d, 0x9714d890, 0xebade638, 0xf871b5b5, 0xc51a413f,
+    0xc7de637c, 0x11074d95, 0xdb123826, 0x720fc1c6, 0xf40cc94a, 0x3f7e7b04, 0xafe59723, 0x5507910b,
+    0x82126a46, 0x268e6507, 0xba5b6420, 0x3b83a247, 0x3becf214, 0x17d0518b, 0x6f0f3421, 0xe1651e11,
+    0x8bf56e66, 0x0396b413, 0x8a7011c0, 0xc3240911, 0xbfadcf66, 0x090f997c, 0x390474c9, 0xfd622c45,
+    0xfa71f4f4, 0x47a2c70f, 0x9f54c95a, 0xce29e8cb, 0x83f938d5, 0xeab3ef7f, 0xc5bd6eac, 0x574a1e1c,
+    0x912d6544, 0x31273d6a, 0xb4e09e60, 0xe8d6e870, 0x1b6faf3c, 0xc51c5b72, 0xc4ae60d0, 0x88182e7f,
+    0x570e6ad1, 0x8faaa6d0, 0xcc081d80, 0x670406d5, 0x215a45f5, 0x3718661c, 0x00631715, 0x8e0c05a9,
+    0x482e7e82, 0x3e1fcdd0, 0x688880c7, 0x33c09c04, 0xdafe9269, 0xd95f8fc9, 0xd9159391, 0x19abdf22,
+    0xa8c35710, 0x47b9dab8, 0x07920357, 0x2d477a85, 0xfa32d5b7, 0x45dd4768, 0x16a88aa7, 0x20df1d93,
+    0x2adb4136, 0xacafe206, 0x511c956f, 0x499462f6, 0xcf6afdb9, 0xd46a4d8c, 0xf913fcfe, 0x316e1ef0,
+    0x308a2a25, 0xd8e5b5bf, 0x284c93e5, 0x683fd41e, 0x286c567b, 0x3ca079ce, 0x7e9d6a28, 0xc5d16ec2,
+    0x1ce347e7, 0x0cfde76a, 0xc012728d, 0xeb7f4862, 0x8db0f1cb, 0x42d9233a, 0xf80fb40d, 0xa305b26b,
+    0x28b5d02d, 0x6eeb8ea7, 0x84123873, 0x9c0230f6, 0xbbf83a15, 0x5451925e, 0x618cf430, 0x9c21a2b9,
+    0x00000000,
+    0x68dc57f1, 0xa4d3c25e, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000036893488147419103232 */
+  { 0x00000000,
+    0x41d8e9d8, 0x4cd561c7, 0xc6f6b486, 0xbca8abb1, 0x6dcb97a5, 0x243803ca, 0x8e7d8ccf, 0x3e345ea3,
+    0xf75e63cf, 0xd8074830, 0xb5306f33, 0x6e44d3de, 0xf661d0d5, 0x3bf1b469, 0x49b583c0, 0x2df86adf,
+    0xdead4bb5, 0x779d522c, 0x1f01139a, 0x46d3ab3a, 0xc683ca4e, 0xebf24f7b, 0x57532b0b, 0x0ea350f5,
+    0x90f68ec4, 0x2f5d9711, 0x51cafb11, 0x4ceb51b2, 0xcfaa1c97, 0xc41e0413, 0x1ee603f1, 0x2ec5a12b,
+    0xf07496bf, 0x7e479336, 0xd2796363, 0x1564ab71, 0x1a35ccbb, 0xffe9a062, 0x5113bcde, 0x6ee583d5,
+    0xc691561c, 0xd7ba65a0, 0x0c47f5cf, 0x55035cc5, 0xa34f0b0e, 0xb4bc7bbf, 0x967fbd6d, 0xdb92e87d,
+    0x9929c8cf, 0x14e47b06, 0xc8f7c431, 0x705de5db, 0xf15f37bc, 0xced44d52, 0xa5c1dbb8, 0x2ca31c09,
+    0x4fd5db63, 0xda2a51b0, 0xec60b802, 0xb65232c5, 0x5a4a7bb6, 0xa6ac37aa, 0x1eef7921, 0x96c7e55a,
+    0x64070f56, 0x513759d2, 0x44f31911, 0x5bdb52ce, 0x6b420753, 0x8d6ed9f8, 0x8ba4d089, 0xf604e8c0,
+    0xb1c5e362, 0x990fe99a, 0xbf7622fb, 0x5a5558ed, 0xeb0543f2, 0x38d18453, 0xd3373d7f, 0x67928946,
+    0xa598dbfc, 0x62e8edc1, 0x2d77ce84, 0xd99acc75, 0xbc072569, 0x6e02f6ca, 0x875248d0, 0x6fb8f44f,
+    0x177bd4c4, 0x8da15455, 0x860bddde, 0xcbbe6d1e, 0x6eb27074, 0xe6870c9d, 0xba7181b5, 0x60ffa2ed,
+    0x713ed6d4, 0x8f8d67cd, 0x6240ed3f, 0xf83b2d92, 0x8937212b, 0x49b8f2c4, 0x3eb67d41, 0x09aa05b5,
+    0x5df27aa0, 0xdb7e83b6, 0x2ac5ec25, 0xf882c6d6, 0xfccc9379, 0x95bbae58, 0xdb5b7c98, 0x05dff384,
+    0x9c12abcb, 0xf014cc97, 0x9d74686a, 0x20df30f9, 0xfc2418d0, 0x7814fdd3, 0x03786357, 0xfafff93a,
+    0x126c5e57, 0xf6ef9fc9, 0x786814e7, 0x680b17b3, 0xf3c9ab22, 0x90234c26, 0x7adead1d, 0x54fd8351,
+    0xd392e2e9, 0xc6557612, 0x012fa7c9, 0xede3a610, 0x9f60a44f, 0xe1efd3e7, 0xb91b2183, 0xfdb7c754,
+    0xb50d52a9, 0x30f78f77, 0xfbb94d5c, 0xbee2f71c, 0x5b696b38, 0x3d9f613e, 0xeb931f0e, 0xdd0ab2de,
+    0x3d881872, 0x70739359, 0x60176edf, 0xe3d18c51, 0x14668ebc, 0x63bb4abe, 0x11a5d69d, 0x086ee76d,
+    0x4bdb0e2e, 0xf7b8beaa, 0x555210b8, 0x9ca9c683, 0xf3e061c2, 0x46171917, 0x1b8dd0cf, 0xdb5438d5,
+    0x05c140a3, 0x6b51fc01, 0xd5c2ea75, 0x5ae8c2c3, 0x327e1e3f, 0x73fb1f98, 0xa2f51502, 0x18d1deba,
+    0xb049ac63, 0x6d73bc96, 0x6138e0d7, 0x5c990f60, 0xe909c9b3, 0x5e0ae1e5, 0x8bb7b5bd, 0x26b57cd1,
+    0x7e12a4bb, 0xf3f11cfc, 0x52d2ca96, 0x7de67bc4, 0xdaf615a9, 0x53cb84ce, 0xc9019b3c, 0x69b66915,
+    0xa342a948, 0x152f783f, 0xc5187e89, 0xd8350e95, 0x0efd3576, 0x5c3db275, 0x8afdec45, 0x3032fdf5,
+    0x9ee1055b, 0x9680a344, 0xf75b7218, 0xeaa57bba, 0x5e51e09a, 0x8d1659bc, 0x1f757aed, 0xd7d61488,
+    0x18bc2a1d, 0x72c7efca, 0x2d0b3f3c, 0xf0e5b689, 0xd6958ff7, 0x91d5f349, 0x93277f63, 0xb0b353e9,
+    0xe63e50f2, 0x3268d763, 0x5eb4c25f, 0x3422aa19, 0x5cfda606, 0xf0fe32b6, 0x171b9628, 0x97e558b2,
+    0x4c4b4205, 0x4af2a492, 0x5f2bc331, 0x69d76dcf, 0xec7fdd0d, 0xd523bc5d, 0x21bcccb0, 0x88607866,
+    0x1eecb9f5, 0xac98e3a8, 0xf04fdc7e, 0xaf8ff8e6, 0x3a5b2ed5, 0x8696b34d, 0x7c16f638, 0xe2abba82,
+    0x8ec275bf, 0x13bb3bdd, 0x8a12b9a4, 0x24903c82, 0x206a0614, 0x9dd93b04, 0x51fa1106, 0x6a9f4020,
+    0x09b1448c, 0xf042a1fa, 0x6a7bd162, 0x3f6945af, 0xaeb68696, 0x3f3f320d, 0x1f50ebf8, 0xc1678483,
+    0x9587a1f5, 0x118d5ef3, 0x8d511710, 0x4b2d82d4, 0xa013c4a7, 0x6173d00c, 0x6d66a9b0, 0x704b4181,
+    0x286859b1, 0x32b6f787, 0x7b5992ea, 0xc6693a08, 0x5a8f6cf5, 0xf4852676, 0xc6c3f89a, 0x1c16c33b,
+    0x6f50bce1, 0xc9af857c, 0x08409a23, 0x57138f34, 0xb444d88e, 0x009b60aa, 0x24d73297, 0x674370ed,
+    0xc1200518, 0xe1ce113d, 0xd9fd6018, 0x09b30d54, 0x6d044c69, 0x56c3ae68, 0x229ed3ab, 0x958ff521,
+    0x3a2a5573, 0xd13794c9, 0x534e3221, 0x8025b8fe, 0xba537751, 0xe037fa65, 0x8be85f6e, 0x48f639ca,
+    0xe20ea229, 0xd872da85, 0x26c973b1, 0xd3f48c21, 0x74b1a41a, 0x83c3facc, 0xd8ff4aee, 0x4540bcbd,
+    0xd98a7938, 0x53682e3d, 0x9249fe8a, 0x0717ce1e, 0x11a07be2, 0xec6ffa5a, 0x2e08e149, 0x620e0500,
+    0xd31f1625, 0xfd4a4b43, 0x04a7cdb8, 0xc0a4869a, 0x64882772, 0xe3888a1d, 0xa318aa40, 0xec03ea6d,
+    0x90a6b302, 0xbbfaf625, 0x24160859, 0xe328e977, 0x4b48fe5e, 0x6a5ec917, 0x0e1a1077, 0xb8e861df,
+    0xc16f6132, 0x25f98bcc, 0x1fa1710d, 0x101a3ac1, 0x735e336f, 0xc34283e8, 0x2d586bca, 0x37a9394f,
+    0xb0a7dc13, 0xf5bf50dd, 0x3f0b0bd8, 0x3592cbfd, 0xd3701e5d, 0xe1915173, 0x3a9bddb7, 0x906fcb87,
+    0xce66d597, 0xc8639b5b, 0xa119eec4, 0x292e5b98, 0xd76dbcd7, 0x1909d08a, 0xeed2b4c4, 0x169715ad,
+    0xb6ff0446, 0x559ecdb6, 0x3fef101d, 0xb18140bd, 0x4dcc1ef9, 0xfcb3821d, 0x1f3736e5, 0xac044313,
+    0xbc2bee1d, 0xbd359108, 0xf9790cba, 0x07db849e, 0x8b7561e8, 0x3596c78c, 0x628b3d6f, 0x18b66018,
+    0xc081f73d, 0x59794f29, 0x47b91143, 0x4de852fc, 0x6945e356, 0xf4144ebe, 0xa3d2e35c, 0xdace79d6,
+    0x36c1b59d, 0x79d6cf10, 0x6b12969b, 0x0ee2e752, 0xade0b03c, 0xb0f32640, 0x64c7dc70, 0x2354509b,
+    0xab08a6b1, 0x7438f06a, 0x744cdcd9, 0x794d4c70, 0x973b728a, 0xab70f9b4, 0x652d773c, 0xdad39671,
+    0x1cc7edc8, 0xea6290b7, 0x1fd593c3, 0x3caed73e, 0xf82498a7, 0x97a54f4f, 0x3d76a281, 0x745e9be5,
+    0x12b8a26e, 0x57ab2b50, 0x050d2ffa, 0xc6034c77, 0x450ed863, 0x4399ff87, 0x58e16369, 0xd4fa3024,
+    0xf3d5431a, 0x3ca20477, 0x47d4ec4e, 0xd96137fb, 0xf09846b6, 0x2aa85c7a, 0x3e61e521, 0xcfc204b0,
+    0xef53660c, 0x85971762, 0x63999c54, 0x4d736306, 0x9b9821c9, 0x9156cfbb, 0x1ee00a1f, 0xa91ba4aa,
+    0x95836e1a, 0xec4ac4d7, 0xbec8d552, 0x8be9ee00, 0xae3d4059, 0xecc5c1e5, 0x928a1443, 0x53090bcd,
+    0xe7da9e80, 0x70a5c16c, 0xd38f58fb, 0x1be30a37, 0x75d60031, 0x85bd3dca, 0x5ef8b114, 0x8a609b1d,
+    0x24ece5fd, 0xea4e3f98, 0x3967dca4, 0xb7e0cb20, 0x36bee787, 0x536d181e, 0x378b68c9, 0x7f1d0b64,
+    0x2e085a5f, 0x0cfb25e6, 0x18d3dfbf, 0xbc5509a7, 0x96b15fd8, 0x364ede23, 0xbbab0928, 0xde41a2bf,
+    0xedc73549, 0x2c3ebd65, 0x634ff923, 0x24f0d84e, 0x37115a5a, 0x8eb990ad, 0x5cddd3dd, 0xcc395bbf,
+    0xf6296981, 0x4daf4599, 0xdeb4b990, 0x642cb784, 0xaf528929, 0x20b0df3b, 0xb032138d, 0xf33f84d4,
+    0xf2db1cf7, 0xf91cf361, 0x716de177, 0xe3cf1c2e, 0xab387f82, 0x8aee8eb4, 0xeab2e5e3, 0x6f7031f0,
+    0x449fab4d, 0x837f7cf5, 0xd9f0d027, 0x23f21d74, 0x3a4fd254, 0x195d7d14, 0x63ff2eca, 0x19617b1a,
+    0xfa4f00bc, 0xa4edb5d6, 0x2a3d6d5d, 0x36d32670, 0x3598f4a6, 0xde1522e7, 0x9dd93ec3, 0x5883ca16,
+    0xc59b30e4, 0xe1432e9b, 0xb24f21cf, 0x9f4c8e5a, 0x1577bb5c, 0xad4a0f8f, 0xa3e8a38c, 0x6ff08bf2,
+    0x56ba5a19, 0xb5ee1cc5, 0x5ca5b53d, 0x2f26c1a5, 0xc966ea9e, 0x3a9bfc34, 0x961664f9, 0x954066d8,
+    0x200db138, 0x77f4b94d, 0xbaa53e06, 0x18124250, 0xb1dcdbce, 0x0b1b738b, 0x3bacc629, 0x01c41f73,
+    0xde47ee58, 0xc783bded, 0xf7619c4a, 0xf9cdc206, 0xad3a6087, 0xe23e7cf2, 0xeaed1751, 0x7c32b2ec,
+    0x39e3770c, 0xe712c702, 0xc8b2ea9d, 0xd484251f, 0x6ab7d732, 0xd8e8bb16, 0xdc4e76f3, 0x87fb2bed,
+    0xbe35f0a2, 0x3023ed70, 0xf96c466d, 0xaf3e334f, 0x4be53451, 0xcebc74e3, 0x3bbcbb0e, 0xdb3c4cd1,
+    0xcf6774ed, 0x9ba064ac, 0x581d9707, 0x14b07ac0, 0x64e963c4, 0x5f81a84f, 0xbdb78c68, 0x8c1c457f,
+    0x82deba4d, 0x530058a6, 0x8d5bd440, 0x65d42282, 0xf3f715e1, 0xdfec5661, 0x8566991b, 0x5067cd3a,
+    0x05770b99, 0x9c23c616, 0xe9206a13, 0x3186080e, 0xf0b2f4f4, 0x91f0ee1f, 0x2d5787ef, 0xe59e339e,
+    0xbce1f989, 0x23ad49a0, 0xab8bb291, 0x4474a3da, 0xe9555654, 0x5d6b0644, 0xa7f0615a, 0x1456b14f,
+    0x80564100, 0xc443661c, 0x5345a750, 0x6c5d6897, 0xdd3ac998, 0x39cc5376, 0x4c909e2b, 0x47c4d970,
+    0xfc075944, 0x109d54dd, 0x50bf5771, 0x70a74ea1, 0x3a698e54, 0xa94ec9bd, 0xfb178aa4, 0x630a7b91,
+    0x906aef30, 0x34f9b1fb, 0xb6b1e396, 0x44997228, 0x2466c882, 0x520f9e78, 0x3710cc54, 0x995e8449,
+    0xafd3ab0f, 0x00805886, 0x1b9d7e5d, 0x47aea3fc, 0x63bb1f5d, 0x00002c2d, 0xbd8881a8, 0x5e1136fc,
+    0xae599426, 0x0d0718ef, 0x5e8dbed0, 0x94d545ac, 0x9e6f5579, 0x350a0e05, 0xe0ef12cd, 0x263e3038,
+    0x05cdf4c1, 0xef9a4fe4, 0x6d0fde7c, 0xf0e10c2a, 0x416ca4cf, 0x8ce12b51, 0xaed7dfe2, 0x35071c92,
+    0x7e070772, 0x55aacb34, 0x982a9180, 0xe8fcc1bd, 0x2cfe2940, 0x708b1ffb, 0x60c162b6, 0x0bf750b5,
+    0xedf0ac1b, 0xe6765c90, 0x7b37eff8, 0xac3c5d7c, 0xd004e47e, 0x3bc80325, 0x977372c5, 0x910fda7b,
+    0x7e0ddd92, 0xaf02e749, 0xd8c7cbfa, 0x2fd38180, 0x78ce510e, 0xbae61ae6, 0xb2876e8a, 0xfeab4264,
+    0xeea9e849, 0x32640f29, 0x6822033a, 0x55514f00, 0x2aa71af9, 0x8174cfd5, 0xcd8988b4, 0x84eed76a,
+    0x0e7bd718, 0x827e86e5, 0x08a949c4, 0xdbb55f77, 0xcb8326d2, 0x0cbeb0f5, 0x85f39b21, 0xd570e7d1,
+    0xf0167909, 0x149e040f, 0x329b1787, 0xf67d7628, 0xa3f9ab63, 0x6c6b3e2c, 0x148b438d, 0xa1fbf100,
+    0xaae3fb2e, 0x3d6c29dd, 0xc8649e2b, 0xa0e011b2, 0xd2726d71, 0x40112288, 0xa6632fa6, 0x47600521,
+    0x10944a74, 0x2c0df0bd, 0x3e573695, 0x113dbc4b, 0xc485697e, 0x7404da59, 0xa1829aba, 0x444a7bfc,
+    0x3b3d081f, 0xbcfeddf8, 0xf650d8f9, 0x0fdf7c37, 0x78f9ced1, 0x1bc26860, 0x3d6b6f28, 0xe4340633,
+    0xd0f244ae, 0x5cf0648a, 0xe9926349, 0x25e42955, 0xe198d784, 0x9945ee08, 0x6ebb1515, 0x536e63d8,
+    0x05f45ba7, 0xfe9ae3d5, 0xeb722851, 0xe2369f23, 0xac5acfb8, 0x702d022a, 0xdf9d2f1b, 0x42f706a3,
+    0x06307870, 0x588cde8c, 0xdfa400d7, 0xeecd24b6, 0x08741424, 0x2ea75492, 0x9d73deea, 0xd73f9e00,
+    0x214d0fd0, 0x26dcd2b7, 0x185e6229, 0x76775ec5, 0xb24f185a, 0x5488359f, 0xc54ff29c, 0x4dca7f3d,
+    0xd6126b86, 0x1798287f, 0xec1d884a, 0xd99f8440, 0xcfba185b, 0xa4481811, 0xf83b7773, 0x9a25f0f5,
+    0x47bdef68, 0x1f01de4e, 0xba80672a, 0x93e9318b, 0x8f79b007, 0xf8e06ecc, 0x4e1ebfe1, 0xa9dd3748,
+    0x300fb0ed, 0x4041bc5b, 0x122d9b5b, 0xa878440a, 0xd1b544d2, 0x3ad76662, 0xf86a95b9, 0xa9775559,
+    0xde0957fb, 0x740f8c96, 0xd8a77f5b, 0x69d3a6a8, 0xf4caf9e8, 0x33656794, 0xa930e8d2, 0xc370166f,
+    0x657671a2, 0x17379421, 0x19befdef, 0x07450431, 0x4a6825fe, 0x8b943589, 0x6847baf1, 0xa8024835,
+    0xf9f2d9e8, 0x1d531f19, 0x6e95e937, 0xeec7e742, 0xdb41ba41, 0x4a2c4bc5, 0x87b48225, 0x6ee03086,
+    0xee9a6dd6, 0x6ff7b022, 0x17e037af, 0x24614248, 0xbe7d38a0, 0x3f397e0a, 0xa407e1a8, 0xe31a176a,
+    0x8391280b, 0x131193ee, 0x50f54bf0, 0x21623174, 0x8e7e6114, 0x92a011a4, 0xaad975f5, 0xf47e9194,
+    0x480cebfa, 0x81912c36, 0x628c0503, 0x867b38c8, 0xb7a6d27d, 0xec11206f, 0x700a4fb1, 0x186ecc31,
+    0xda5c496c, 0xf99ab63d, 0xf513d047, 0x5d4ffada, 0x970f7783, 0x3f53cc77, 0x0033a778, 0xa6463ff1,
+    0xb19d3baa, 0x218191c0, 0x2b4ca4b5, 0x675fbdc2, 0x223ecfa6, 0x663548a2, 0x5e770641, 0x4cba0cd0,
+    0xfe770eb1, 0x8cc02c18, 0x7d4afd72, 0x7747021d, 0xc913ba39, 0x838415cc, 0x978dfe2e, 0xb827ea3c,
+    0x412d3ebe, 0xb2aacb2b, 0xf6fdcbb3, 0x166f81ae, 0x2c6cbba5, 0xf0bd2a10, 0x7e176478, 0x26bf35c6,
+    0xfb37f9f7, 0xaf384986, 0x05c435e8, 0xff6ada78, 0x55d30949, 0x524909fc, 0xe3ff72a5, 0x2a60f64a,
+    0x939e5760, 0xcc9c88dc, 0xf3c10e2e, 0x1a7ee40b, 0xc91cce8e, 0x42d1773b, 0x42bbc501, 0xfe6ad895,
+    0x038aaff5, 0xdc0d366b, 0x963db4bd, 0xcf4e8f38, 0x5c60e117, 0x320e9f45, 0x11c845e5, 0x4b129ade,
+    0xba78d2b1, 0xdbddc8f8, 0x941cfc67, 0xfef2ce0b, 0x8fb6daaa, 0x96f723ae, 0x9c470345, 0xca02b898,
+    0x3d052300, 0x8ae806fb, 0xbee26b31, 0xccb7d2fa, 0xaa612bba, 0x4c667f22, 0x13950f1c, 0x8d4ac613,
+    0x4b65b280, 0xc290ff49, 0xccaace56, 0x58a22877, 0xb35263b0, 0xc877d5c0, 0x2f681046, 0x21f24836,
+    0x9529bf89, 0xaa9deb33, 0xed896019, 0x45c6350a, 0x00e7dbfb, 0x9a8e28c8, 0x0f8b70fb, 0x6e2a5aa8,
+    0x831df9de, 0xcedb90ab, 0x4d4f92fb, 0x8cd9658d, 0x12e03c15, 0xc3ab6323, 0x4a2e2247, 0x5cfc4bfb,
+    0xd02ebf4d, 0xe46f6d55, 0x7b1a8308, 0x5e87fd82, 0xa6c63187, 0x352aae25, 0xf107c60e, 0x75d3507d,
+    0x9b04d707, 0x41ad5e40, 0x369ef326, 0x844c7dc3, 0x16db1212, 0x1a2a0611, 0x084126dd, 0x9c796ec2,
+    0x58b0df72, 0x4913963e, 0xa7775812, 0x9d517158, 0x1bf069ff, 0xcab05279, 0x39f9674a, 0x5bddf0ee,
+    0xc0314f39, 0xec97f733, 0x0dcecd35, 0x27566765, 0x4ae6174b, 0x6b171ca7, 0xbbe84d3d, 0x2363df39,
+    0x53b03c4f, 0x5feee3ed, 0x37347a37, 0xe7c02f8c, 0x1e26395c, 0x7cd8d61d, 0xba6561d7, 0x37d2d3bd,
+    0x6fd6f35b, 0x070ac7b8, 0xa5fea8f5, 0xf308d8c4, 0x2ed3d362, 0x221c44f5, 0x684fbf56, 0x91a2d718,
+    0x2157e869, 0x6d19b977, 0x63ce1cfd, 0x75732157, 0xa8f96bad, 0xc049b6fd, 0x2802d755, 0x52bbd7b2,
+    0x3a623158, 0x86142e9c, 0x06539931, 0xb12da452, 0xd7000036, 0x3ba33109, 0xb75cfef5, 0x044cb419,
+    0x520bd074, 0xef8e2655, 0xf5525167, 0xc9ccbd7f, 0x268e9721, 0x659baa8c, 0xe691e396, 0x78f98345,
+    0xc7719727, 0x372033c1, 0x46c1b331, 0x1f89582a, 0xfb9d3b24, 0xf8e1a647, 0x6638a9c8, 0x2c769b56,
+    0x652d8ec2, 0x4a5bf67d, 0x03fa2936, 0xc691f06f, 0x57960459, 0x71b5f821, 0x7a04adf9, 0x7b925af5,
+    0x4452eb8b, 0x5b4681b6, 0x74bdf48f, 0xdabf7071, 0x77d2295e, 0x368a6c43, 0x7f7b695e, 0xe6c9e1c7,
+    0x2c3f92f1, 0xa06198ea, 0x13aa5609, 0xcffc7756, 0x9af9499f, 0x3d7a5100, 0x83f60d2b, 0xbd2646bb,
+    0x5633b0fc, 0x34faea98, 0x68f7f903, 0xb7bb4f90, 0x2a889fc8, 0xe7aec308, 0x7e419799, 0x9ff3e643,
+    0x5458ec78, 0xa2f8a169, 0xb2d856cb, 0x920452b8, 0x25918f36, 0x71d1008b, 0x2add0e19, 0x8d5e1f8d,
+    0x00000000,
+    0x346e2bf8, 0x5269e12f, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000018446744073709551616 */
+  { 0x00000000,
+    0x8a7f8f8a, 0x7016dd38, 0x551ae56a, 0x63a47acc, 0xd5cc1ac5, 0x5235b81a, 0xa775ef84, 0xccb0668c,
+    0xb5886da9, 0xf5d56539, 0x92a78f4f, 0x1a15c946, 0xd6553d0c, 0xd433b5d4, 0xdf1ed01d, 0xf51df455,
+    0x637efa8d, 0x57797d30, 0x934b7536, 0xde5c290e, 0x52e35cba, 0xffb9a34d, 0xaa5351c2, 0x436e2c96,
+    0x6409ae6d, 0xcfd2e8e8, 0xd1853c66, 0x7f41bb9b, 0x640f845a, 0x82504115, 0xaa67dae1, 0x3186770a,
+    0x71ff54f1, 0x9f83e367, 0xdf5f941f, 0xd5ca8ce4, 0x96ce0532, 0xfaff406a, 0xf010f9ee, 0x43efeac4,
+    0x96c8e703, 0x9f8d5411, 0x5f82a4d5, 0x010fdbfe, 0x0f4b413a, 0x4a805fe1, 0x64223f98, 0xe3a51fa9,
+    0x5e157aa6, 0xaf4eb281, 0x7012402b, 0xee8e67f2, 0xc208048e, 0x66cc87ab, 0x0be94f51, 0x8653659f,
+    0xb3f7641c, 0x542597ba, 0xc99673ea, 0xa77e7ec2, 0xee2683aa, 0x9f2f623e, 0xa61a9ffd, 0xe3a69ab4,
+    0x1989d910, 0xa97309dd, 0x17ea845c, 0xd55d8afc, 0xdb7670ce, 0xa818f1e5, 0x7c0dc84d, 0xf9dbdfa8,
+    0x5bbd48ad, 0x946791a5, 0x78da763d, 0x6a3c6ddb, 0xfca1db8b, 0x093f71e1, 0x45950236, 0x1e7d096b,
+    0x1aedadfe, 0x804e2dcd, 0x6c4cc7dd, 0x518e2bdc, 0x0e6008d5, 0xa6783eee, 0x5a09b6bb, 0x32034e88,
+    0xe3831aa9, 0xeaef51f7, 0x7af79756, 0x9e8bc2e8, 0x892dbdef, 0x4675a381, 0xf25eb6d6, 0x3ddb80af,
+    0xe8b78d13, 0x6c763cbc, 0xf4695bf4, 0x6bf7ceb1, 0xd4d40621, 0xf16c4e19, 0x1f54ad9a, 0x4e921376,
+    0xa6c224f0, 0x0c99646a, 0x29cf7e39, 0x1e69bdba, 0x8a5ceb30, 0x243b4596, 0x2c1b8700, 0x54ba450d,
+    0xa83f41d5, 0x7d4c081c, 0x6d757670, 0x54b0705f, 0x2c9a993d, 0x5d7deab8, 0xada91882, 0xf364b984,
+    0x778c4db9, 0x8efa7828, 0xd39a62ba, 0xa5f6372f, 0x890dc6b0, 0x87698a75, 0x9441ac52, 0xe742c250,
+    0xd30c995c, 0xd831f8fd, 0x806bc867, 0x6bb8dc6e, 0xe6c5c5c2, 0xc8a762ee, 0x382c3d65, 0x80acfb73,
+    0x716af622, 0x8552fbb7, 0xe59c162c, 0xf4290189, 0x912cf443, 0x65b8c5f9, 0xece705a7, 0x848d9d67,
+    0x52c6becd, 0xaf7fff63, 0x2deac6ef, 0x9bf87993, 0x49c3ce4b, 0x4dd2d3dd, 0xdf0f7c13, 0x329459fd,
+    0x2c85c333, 0x41023510, 0x534bd824, 0xd45e1d64, 0x2fa68708, 0x524c1214, 0xa2519287, 0xc04c9b48,
+    0xc53a7e37, 0xef37ec31, 0xbaf556e7, 0xa3eac94a, 0xabc6002c, 0x238bb016, 0x0fd12398, 0xfd41578a,
+    0x3b5c9775, 0x8e46decb, 0x0d11504d, 0x6551212d, 0xee11621d, 0xbc5676bb, 0x22cad549, 0x8967b729,
+    0x2bfe60c6, 0x754030f1, 0x411e5647, 0xb5654632, 0x30d8d3e3, 0x10340c2a, 0x8aafb76a, 0x5d410ce0,
+    0x6b0cf4de, 0xf49250e1, 0x58e225ab, 0xf34ce76c, 0x73c61dff, 0x3aecb9fa, 0x188b0fc6, 0x3215d830,
+    0x780e1146, 0x084128dc, 0x74c9b74b, 0xba6c0c62, 0xfba6e471, 0x864707a0, 0xfa22d5fb, 0x3138a5f7,
+    0x11749212, 0xc925eea8, 0x90dd559e, 0x450a97cc, 0x38e09b10, 0x7fe530f2, 0x1e8ffb16, 0x1c30b588,
+    0xe037f12f, 0x6cfedfe7, 0x9962f974, 0xd187c02e, 0x277c1f68, 0x00f3398c, 0x6425091e, 0xe277d606,
+    0x1af21893, 0xc75d0754, 0xadf4ab3e, 0x0b659423, 0xefce9a9d, 0xead48abd, 0x6ba79c46, 0x91ef1f41,
+    0x8683c640, 0x607d467f, 0xa6357923, 0xbabbc4f5, 0xe16cfbaa, 0xcdfcc9d6, 0x3635b06e, 0xaddefd33,
+    0x87ae2eb1, 0x24c3cb54, 0x58181d63, 0x06f49267, 0xbacb7aee, 0x1433d692, 0x62376add, 0x29568124,
+    0x3416d050, 0x454161e9, 0xa7578e21, 0x1c3efdf2, 0x9e5f38f5, 0x34d3c0b8, 0x10d237d5, 0x1af2ccd3,
+    0x6a0f49a7, 0x4c6c960f, 0xdce88b1f, 0x63a41805, 0x1ba47e91, 0x98249ffd, 0xa0ba5ba5, 0xec674885,
+    0x8c8e60c5, 0xc30c5b69, 0x05493c4e, 0x1dfa87dc, 0xf173ec1b, 0x9d9af5e0, 0x8b506dfd, 0xfbe72f73,
+    0xa5b9ccb5, 0x6b729918, 0x37e24c49, 0xea0831e2, 0x5ff4f041, 0xa1e8f112, 0x4e8b270f, 0x8eaa4f62,
+    0xe3a2abeb, 0x2d921ddd, 0x3943e17e, 0x9f01dd41, 0xf8d50212, 0x5bc6be54, 0x59cdc549, 0xe54b10ec,
+    0x1f1429f9, 0x580ee663, 0xbe79b741, 0xc8bc101e, 0x3be5226b, 0x4d608d9a, 0x8d7cd33e, 0xfbe6acf9,
+    0x09ac061e, 0x7e155869, 0x83555133, 0xa9c9688f, 0xd9b46c98, 0x53afa136, 0xe25b6bd0, 0xbe357ced,
+    0xf69510d5, 0x82398669, 0x5e5de677, 0xcdfd0aa5, 0x5933cacd, 0x345cf203, 0xe6d4492e, 0xf4bc48a3,
+    0x6761e902, 0x1a36756b, 0x09133def, 0xc4f717c4, 0xefd20b4f, 0x7395d368, 0x61237d3c, 0x783d7d3b,
+    0x1a6c8a4e, 0xd96109f6, 0x9507770b, 0xd6de21ba, 0x63ee4ccb, 0x5fc2975e, 0xf2eec1f0, 0x9c514dd1,
+    0xa86595e7, 0xf69e3747, 0x95e16203, 0xe2cb4dd7, 0xf51a4ce2, 0x2421e717, 0x61cdea24, 0xf304946b,
+    0x0c3ee71f, 0x97bca720, 0xe94a00ce, 0xfb826287, 0x888b8bb6, 0xbd64749d, 0xb805432d, 0x837498dd,
+    0x1416f3ee, 0x012b3d9d, 0x3f9c4f82, 0x5574d397, 0x17280cd8, 0xc21b194b, 0xed148b5f, 0xbedf1c1e,
+    0xca68a2df, 0x3e7fdaa9, 0x6a049312, 0x115aaad5, 0x6a21a615, 0xef831ff5, 0x1eec209f, 0xfd9458d6,
+    0xbedd9ede, 0xf0b9e60f, 0xe3421ad0, 0xc81af9c2, 0x3e4e77c1, 0x2371f963, 0xc3e30518, 0xd8ed659b,
+    0x2eadda78, 0x43a170c8, 0xd51f2609, 0x0c43a15e, 0x527d9236, 0xe8975f3a, 0xebb184b8, 0x738f2d42,
+    0x2cf83a62, 0xc7bd3846, 0xc3ebbe11, 0x2b51a203, 0xc234f3b6, 0x5ab90095, 0x40a08500, 0xbf7a41ad,
+    0x4a644ad7, 0x186cce17, 0xd247851c, 0x35a77b63, 0x4fc31b3c, 0x5fb63ccd, 0xd55e4a1b, 0x686def78,
+    0x9b0595b5, 0xa00d8d7b, 0x317d753e, 0xac97e382, 0xbdce3234, 0xee50a1be, 0x91314cf5, 0x421cffb0,
+    0xf19ffc36, 0x183714c6, 0x270b1f09, 0x50162c04, 0x07b3fb11, 0x02d77c3a, 0x83e60452, 0x00c78d5b,
+    0xe2bf82b2, 0x8edd2ff6, 0xfe0987a9, 0x9693195e, 0xf51c93c0, 0x98b5cc44, 0x7fe96e99, 0x2c3b8ea0,
+    0x82ec01c5, 0xcbfce10f, 0x613fb774, 0x5417829e, 0xa5a6f07e, 0x72f85662, 0x6edce488, 0x93444e0e,
+    0xe5f53562, 0x7198527f, 0x563bf8bf, 0x66fa21ea, 0x1c9f9950, 0xd5bf41f4, 0xbf8f65a3, 0x25699990,
+    0xf8f22e7a, 0x42b39b35, 0xfe9e4fe7, 0x03cb6fe2, 0x2de8c338, 0xa0912c04, 0x62896e4f, 0xc02aa866,
+    0xdc9430de, 0x5055e143, 0x46bcceff, 0x3b0cba0b, 0x9e63cc44, 0xf3cb659f, 0x358f718d, 0x98082ea3,
+    0x4471fdc6, 0xea906126, 0xf303d02e, 0x8de96f65, 0x16cb4fea, 0x1de849d0, 0x96f1a313, 0xf72f0356,
+    0x7e74c486, 0x11db4786, 0x81d7829d, 0xbe0a7b5d, 0x412afeb6, 0x458e0b2b, 0x35a984c8, 0x00ee2142,
+    0xad00f5ea, 0x7e9e95b9, 0x91605d70, 0x8bb18046, 0xaf5088e8, 0x79c763e0, 0xec43d854, 0xfb230f46,
+    0xdbbecc02, 0x1b1beba3, 0x34b5408c, 0x73ac5add, 0xaa2314d7, 0x83275801, 0xe45794f2, 0x557e2434,
+    0x2d955030, 0xaa427e8a, 0xee35570b, 0xb4983b85, 0x64c4c340, 0xacea8c67, 0x5c84c9c1, 0x1b96fcae,
+    0xa80c796a, 0xffd0aa5d, 0x6f76a2e6, 0x06e764e3, 0x1008a07d, 0x4f401ef5, 0x890e081e, 0xaede87f7,
+    0x0d75a395, 0x9344b78b, 0xbbd2300f, 0x01fc0e85, 0xe9279e3e, 0x57dba612, 0xcc2b96d9, 0x62a82d76,
+    0x6b39b20b, 0x8c48ad8c, 0x17c96932, 0x1890911f, 0x2fa9d2ab, 0x295a5f6e, 0x528693d1, 0xfe8f9ce4,
+    0xcf885cd6, 0x8ec3e29f, 0x3c3e8b97, 0x2eeb3c3b, 0xdca4b994, 0xaa7d6c41, 0xff2e9ad2, 0xeb19d33d,
+    0x5bc742be, 0x517e745a, 0xd09dea6f, 0xf047d6c2, 0xab25c68e, 0x35945772, 0x11a0224b, 0x1a787a3e,
+    0x089beb73, 0x5e20ddcf, 0xc8823796, 0x5df58940, 0x71237a6d, 0xbce1754a, 0x621a9c6f, 0xa5aa37a4,
+    0x6bba5d43, 0x97ffc90a, 0xf4235d40, 0x2b5029ec, 0xdec0b40c, 0x9d583667, 0xc0184ef3, 0x155392ce,
+    0xf7a8a9cd, 0xedb666ec, 0x0afc29c4, 0x4cf80e9c, 0x77626038, 0x2b35d697, 0xbc1d50be, 0x38ade562,
+    0xdb632801, 0x40597a21, 0x22f99278, 0xd71806a2, 0x9862319b, 0x14ee810d, 0x6d045152, 0xc0ac368c,
+    0xc7946c51, 0x7a8fdb5d, 0xe25525f5, 0x0a6cf62b, 0x190b57c8, 0xb840a25d, 0xda7a858b, 0x802adbd4,
+    0x796cbb22, 0xc6dcca93, 0x78029eac, 0x380fb5e7, 0xdae071c2, 0x5c7988a1, 0x5c670882, 0x0e473310,
+    0x5847a102, 0xd4f6d207, 0xbb8fd6e8, 0x31aa3e10, 0x7042fe4c, 0x55a9c52d, 0x2fe27459, 0x808ec518,
+    0xa13b66ff, 0xdbdea02f, 0x5d7944f6, 0x29d9e432, 0x758dbc55, 0x1383c276, 0x4d6d618a, 0x4c0054ee,
+    0xdd0f3b32, 0x21894678, 0x02f56eb5, 0x02b62fa9, 0x198d7e82, 0x31c26a79, 0x5bbe1c84, 0x9e10e632,
+    0x49ff9773, 0xa8d02ab4, 0x746927cd, 0x3f575968, 0xc4decca3, 0x3d8a8c7d, 0x218f37e9, 0xd25502f0,
+    0xdf0aca96, 0x5ba89af3, 0x45eaa00c, 0xb131f2e5, 0x4c111dd8, 0xb03f9847, 0xe5e1c0ba, 0x74244ec9,
+    0x5722acbc, 0x486301ab, 0x619fb45d, 0xf19642b1, 0xe24cacf2, 0x1374ea08, 0x1cc119f1, 0x56aaa4dc,
+    0x3f992e21, 0x1badc05d, 0xbf3058fc, 0xc754e714, 0x23c11089, 0x01998fa3, 0xf88d9be7, 0x911c70be,
+    0xeb6a47e6, 0x51ead126, 0xd67e4ed2, 0x505f93ce, 0x1b7f4902, 0x27f5c9b5, 0xeb36f41f, 0x356a5ca1,
+    0x91fc7328, 0xa66b99d4, 0xe6819418, 0x0332a4de, 0x6914d529, 0xa5e2b634, 0x0684d57e, 0x84ae0476,
+    0x28253978, 0x079f410b, 0xf63250d7, 0xe3c65651, 0xf9aef64a, 0x2fda31fa, 0x8c4b0457, 0x49f645e8,
+    0xe7ca5b6a, 0x7c5323c7, 0xd03b1ae6, 0x88e658c3, 0x53a160ff, 0x3ebdcd26, 0x5a05340d, 0x0d820176,
+    0x04bb528b, 0x5c2738e0, 0x8ae4a55e, 0x1b229226, 0xad8d27b2, 0x703bb54c, 0xb8044568, 0xf7cd78d8,
+    0xdc5e023a, 0x8bd4c70f, 0x7cb490f3, 0xb2c7aaaf, 0x3bfeafa8, 0xea30d05b, 0x663d1985, 0x1148fc98,
+    0x7f64bb08, 0x7d96165d, 0xd9b1cb70, 0x6eb46bce, 0xdc0ae3d9, 0x6f23a2d1, 0x0c5c17c1, 0x8ac8639a,
+    0xc45f48c3, 0x05169f1b, 0x0d3a2f29, 0x0ff99351, 0x367b5746, 0x3096460f, 0x7b3e278f, 0xcaa3930c,
+    0x99761d39, 0x773cbf3d, 0xf1d83947, 0x63da5fdf, 0xead5b6f2, 0xda690ceb, 0xa74cd5e1, 0x697f5f83,
+    0xf650c32c, 0x57429c82, 0xb9dc4068, 0x069eca9a, 0x94a5225e, 0x81235309, 0x729e5078, 0xb5951bcf,
+    0xc342580a, 0x5fe1d447, 0x388fa35b, 0xfcf60207, 0x6f7b8920, 0x26bacb6c, 0x8e0eea3d, 0x3b3ea75b,
+    0xe0234456, 0xb915d938, 0x0526a7b0, 0x52f8d582, 0xe0a27bbe, 0x7ff367ca, 0xb8dd5165, 0x67dc6ce5,
+    0xbd2e665f, 0x593cb21e, 0x8f0117da, 0xc963e902, 0x0d75d1b3, 0x7d351081, 0xd48a2c75, 0xa8575bf2,
+    0xc35575ea, 0x5aca2893, 0x405eac4d, 0xa22ce301, 0x60bac9d7, 0x9c21738e, 0xf3cd37e9, 0xa3bd44f0,
+    0x8bf817fb, 0x5b64e13f, 0x9edbd8fa, 0xd97cee8b, 0x55b13a42, 0xd67860f3, 0x5db2c500, 0x90b31db0,
+    0x172193e5, 0x580cd70d, 0xbc377593, 0x31f5c9b7, 0xa0fee19e, 0x2aa8313d, 0x0f5f2e4c, 0x9a158ac4,
+    0x196c4a7c, 0xb1a93623, 0x93a7d46d, 0x1204343f, 0x6c7d1828, 0x20a3ef5e, 0xbd489923, 0xdc21ac11,
+    0xdc14b2bf, 0x77734cc3, 0xc0c4c831, 0x3035fc90, 0x00a6e601, 0x7ce7f401, 0xad19d960, 0xb0b98e4e,
+    0xcd0b5de6, 0x8900278e, 0x01d04df7, 0x4f749096, 0x33ef1018, 0x927688a5, 0x06a5f3ec, 0x4507198f,
+    0xc1dd73c5, 0x5bea4437, 0xae25ac4e, 0xb7983b3c, 0x833ac212, 0xc17bf56d, 0xb5eb8282, 0x9d1bf7f3,
+    0xb9d17944, 0x4a3c326c, 0x071c7602, 0xf2678833, 0xc4bdb7fc, 0xee20addc, 0xa4b85fd6, 0x2a08596c,
+    0x907ad0ce, 0x3272dd5c, 0x4f22007e, 0xbf923835, 0xe0acf5b1, 0x206a0502, 0xbb7ed141, 0x8cde406d,
+    0xfb00a9e5, 0xcc869ef7, 0xa70428ff, 0x0c488c2e, 0x3fb8116a, 0x697a6f71, 0x2c42de84, 0xa59daffd,
+    0xdfa8fa7e, 0x85eea9da, 0x0ea2094b, 0xdaa1d807, 0x99322a21, 0xbacd3e96, 0x7ad007ae, 0x676ffbc6,
+    0xb535a48f, 0xf7284d3d, 0x8f792f30, 0x03c83417, 0xe5c7af2d, 0xd24d079d, 0x03145381, 0xec2180cb,
+    0x11285994, 0x1c23de28, 0xda36f9db, 0xe1f5e048, 0x06acdbf1, 0x7fd4bca0, 0x6d604770, 0xc9636d56,
+    0x5a0de443, 0xb764efbb, 0x0028105f, 0xaf9d4830, 0x79a7dcbf, 0xc8e7d952, 0xd3dfa36f, 0xcbf906b0,
+    0x2138f7d0, 0xdeb81cbf, 0x15c996e1, 0x746081b2, 0x2e055871, 0x5032f74b, 0x3593259e, 0xbfe17096,
+    0xee732ac5, 0x50f1ad49, 0xe7e5846e, 0x5f7a1ec4, 0xb0f59f36, 0xe2202e04, 0xbda24fa1, 0xdbff7b6c,
+    0x6d132f1c, 0xb5fa6c58, 0x760fbf15, 0xa6017feb, 0xc69ea40b, 0xdcf44429, 0xe45556f4, 0x57d47076,
+    0xb82149bf, 0x9290396d, 0xba8e6060, 0x8c4d0514, 0x59ece37b, 0x4bf1954c, 0xd9ef1c79, 0x3fa2194b,
+    0x1f87eb8f, 0x96db04c7, 0xc881a7d7, 0x9214d793, 0x12312b88, 0x660178a3, 0x540de664, 0x3bc13d26,
+    0xcd0a84a7, 0x5fc9a8b7, 0xdb926980, 0xed25f68c, 0xaf58902f, 0xb7803969, 0xc3e9d4a6, 0x29eb4251,
+    0x4d44d636, 0xdcee8482, 0xfbde7db8, 0x733f3856, 0xfc2847f7, 0xa97cc081, 0x8956e72f, 0xca11cd22,
+    0x3033be45, 0x40915a80, 0x86dcae44, 0x37baa834, 0xde827940, 0xadd03d46, 0x5aef59c1, 0x2072c9b2,
+    0xcddbfb9a, 0xed0ed778, 0x6d6fb0b3, 0x1704754d, 0x36355618, 0xb65d050a, 0xe4672d3d, 0xfb8b554b,
+    0x2b7c07a1, 0x7f7abf62, 0x29f9bd40, 0x9e73183a, 0xb542cd32, 0x73c45caa, 0xeb283c43, 0x45aa9bab,
+    0xdae3840d, 0x2e037edb, 0x138ab87f, 0x7493ec0b, 0x4a10db6d, 0x56a39cd8, 0xa154d23d, 0x24b31787,
+    0xb95f3f40, 0xdf754f3d, 0xf93840df, 0x99790ba9, 0xc74bc24c, 0xd7bd8899, 0x07eba980, 0xf7959cdd,
+    0x63c20d5e, 0x7bb1239d, 0x150f9adc, 0x42bc4cba, 0x375a086b, 0xce11e329, 0x9438c04d, 0x58d2d970,
+    0x238d4734, 0x6b5bb340, 0x22b8ce86, 0xf557d5d2, 0x4034cddb, 0xe2ffbd78, 0xdb1927b4, 0xe06775a1,
+    0xfd168e3b, 0x0538b2d5, 0xeeb8e172, 0x7581d71e, 0x81f660f8, 0xe9d1590f, 0x2131ac99, 0xf72da3fa,
+    0x40ea1d79, 0x5da243d6, 0xed4dbc35, 0x03edcd51, 0x4a7d0a51, 0x68df1e8c, 0x84560471, 0x82d38aa5,
+    0x7bf9998e, 0x059f7c0b, 0xd863440a, 0x682c01d9, 0xcc25172f, 0x769afae8, 0xf0c741b9, 0x9151abf5,
+    0xcbd9755b, 0xcb679354, 0x8c37b031, 0x490a957c, 0x4e5217aa, 0xf1b71735, 0x60cf40ce, 0x560f2980,
+    0xa9647dba, 0x2990e639, 0x64c7098e, 0x38c5d855, 0x43a4e0c8, 0x3a56d668, 0x37044f8f, 0x4b916bc2,
+    0xc5768321, 0xe99a2e00, 0xad194986, 0x3a6be5b6, 0x12b5d92a, 0x3c7b5710, 0x5f2a2069, 0xa6dc7f78,
+    0x820f225a, 0xc2a4d9d2, 0xa4ccefa5, 0xb0df964e, 0xc00d840c, 0xc41de3fb, 0x55dd8008, 0xbe3cad40,
+    0x00000000,
+    0x9a3715fb, 0xa934f097, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000009223372036854775808 */
+  { 0x00000000,
+    0x400b1539, 0x2482d808, 0xa63fa51f, 0x532c22c7, 0x8a631727, 0x56084d1d, 0x4b47347e, 0xb5cc080f,
+    0xa37dd5b6, 0x3a5cdbaa, 0xdfd73afe, 0x07958927, 0xb357dfd6, 0x418dbb95, 0x81d1ef72, 0x6335b7f0,
+    0xb069505f, 0x5354800d, 0xf08d7c8e, 0x2eb10aeb, 0x17da10f9, 0xa33fce7c, 0xdf335daa, 0x0701454b,
+    0x9f41aa10, 0x435da47d, 0x75dc52d8, 0xfd455d8e, 0xdd10b78a, 0xd6562442, 0xb169334c, 0xa0102ac1,
+    0xa4f1f177, 0x1e8faa8f, 0x2bba0db9, 0x3ec61483, 0x7895c467, 0x6fd316b4, 0xdb92f0d7, 0x36d44226,
+    0x7efbe021, 0xbedc1786, 0xbbbeda1e, 0x5bf884a0, 0x367c8b14, 0xc9789afe, 0xed901caa, 0x2651e7d0,
+    0xa539f75c, 0x894d9d9f, 0xa0736255, 0xa520561d, 0xb97c9963, 0x7bb70fca, 0xa9958950, 0xd51ba66e,
+    0x468ab5d4, 0x85fb2e45, 0xcc55e2a0, 0xc41e2c97, 0x96d17ca1, 0xc9fa0f13, 0xa8eeb3e2, 0x88aa5aa0,
+    0x8f287c0c, 0x6e285323, 0xad519a90, 0xc7b574d0, 0xd32b32f0, 0xe598aedd, 0x8a8146ad, 0xcb13fea4,
+    0x50e3a253, 0x90a52a61, 0x8ff17f15, 0xa75e91cd, 0xbf5d7d1c, 0x50626e9c, 0x34b51f9d, 0x25db4d02,
+    0x42b02731, 0xc3ac75d8, 0xa4608778, 0x6887f119, 0xcd2fc790, 0x4fa7eea2, 0xbabf483a, 0xb04b5230,
+    0xa77385dc, 0xb627ac75, 0x0b34acda, 0x46b26b07, 0xc8a833f8, 0x9213def9, 0x11553897, 0x09c20b89,
+    0x588aa872, 0x8e423bb7, 0x193f2419, 0xc1fefb6e, 0xabca1707, 0x9a43008e, 0x24f8741b, 0x3ffb85bd,
+    0x6060a501, 0x470b80ca, 0x902437da, 0x6a61a6f7, 0x1173b1fd, 0x751ec820, 0xa014404b, 0x223253d6,
+    0xbc86db4f, 0x4662060b, 0xd0f0a290, 0x853b336b, 0xd362856f, 0x0e24156e, 0x2b19925f, 0x91a19362,
+    0xe88cd621, 0x432cc83f, 0xfb0e535a, 0x3a788f12, 0xbc1f47d3, 0x2b1391f1, 0x85c1dab6, 0x251a7ad9,
+    0x609c470d, 0xd481a048, 0x0637151c, 0xd6e0bb7c, 0xb9ad79df, 0x582ff72d, 0x09f44858, 0x397979c8,
+    0x5ad36cc2, 0xf5e93f71, 0xb76a7bf5, 0x98dc6291, 0xf6c03957, 0xa21fd9be, 0x9fa3ceca, 0x19bb62a9,
+    0x138fb2e0, 0x8ad0758f, 0xff28d6ad, 0x87225831, 0xa71cda5f, 0x81ca941e, 0xb872bb5a, 0x6e6fa6af,
+    0x8d25a9fc, 0xfdc54cfe, 0xba8b4c8d, 0x23fbe503, 0x7e3b27d3, 0x25fda365, 0x8c20df59, 0x217fed93,
+    0x1f8b4e69, 0xc23bc505, 0xc3d877e0, 0x8599d4d7, 0xcafe79e0, 0x20cdc42d, 0x6f1ea027, 0x5a58f94d,
+    0x67568dbf, 0x6811d2bc, 0x7158067f, 0x5a7064f4, 0x95b567c5, 0xd528fb46, 0xe4d6b430, 0x78835dcb,
+    0x2d15f807, 0xc77030ef, 0x92de2032, 0xad8dc600, 0x53b9a32f, 0x27bbae14, 0x8fe9f6df, 0x299c32d3,
+    0xe9fc6f65, 0xd0208d63, 0x3e822d6c, 0xc4683384, 0x48d02c21, 0xe3579b9c, 0x7e58e6f9, 0x076ee7d5,
+    0x4cea84da, 0x1627afd8, 0x0159c545, 0x7b60b4b6, 0x7ac3d534, 0x11766f29, 0x2a86551e, 0x1e6b3dff,
+    0x921cb55e, 0xee4d6533, 0x1a7045a5, 0xce9f740d, 0xcb60cc21, 0x064a44f2, 0xf7982a57, 0xea40d9cf,
+    0x189a0242, 0x53c2714e, 0x6a78459e, 0x1b162b77, 0xb9036564, 0x81f24395, 0x6cb4699b, 0x9730e986,
+    0xc63ea922, 0xf542348a, 0xf34aff10, 0xa7854f5f, 0x2c26eac2, 0x9f3bb29e, 0x2f15a2ac, 0x6ec9a51b,
+    0x9133d17c, 0x78aa9f81, 0x2860f245, 0x509129ef, 0x6281d8b9, 0x4cca7c5c, 0x31367829, 0x6c0144f4,
+    0x54c2f215, 0xee341a2c, 0x7a68f2ba, 0x219a6e26, 0xfba73360, 0xd11b8018, 0x841d53a1, 0x3b511d41,
+    0x96e6649e, 0x54bfea1f, 0xe0eaaae1, 0xaf5db6f8, 0xf9b70f0e, 0xd22b62a3, 0x484efe20, 0x277aa191,
+    0x0e48caaf, 0xa3e22477, 0xcab32ebf, 0xe88b5368, 0xc933dcd6, 0x2494f7a8, 0x7af0fe99, 0x63155252,
+    0xf51d1621, 0x0805a4e7, 0x77dfc002, 0x75745aae, 0x4ae9ea29, 0x61f3d823, 0x9dc3560a, 0x91a28211,
+    0xa4fe5725, 0xd543a32b, 0x4b0c5bed, 0x8aba9625, 0x129e9dee, 0x71ef9797, 0xe277eb26, 0x436133dd,
+    0x7d8acde7, 0xc2b71523, 0x391fc0a3, 0x3e23a2c5, 0x633c766e, 0x6691d29f, 0x156a3ccb, 0xb95271be,
+    0x1a997fb3, 0xc87f59f4, 0xf134c3cf, 0x10d7a5fe, 0x031396dd, 0x46399e71, 0xf08a742e, 0x727e6fb1,
+    0xf6f7ce85, 0x5efa9a67, 0x6486feb5, 0x144f7d39, 0xcf43a6e2, 0xbc21a964, 0x9dbdabf6, 0xd993beb5,
+    0x8a04f55c, 0x5de948f8, 0xc81c935c, 0x06c18005, 0x7b05bf1a, 0x98879cb1, 0x9e06f3af, 0xf990d5d4,
+    0x5067889f, 0xe1189b46, 0x74efe834, 0x9ea85f64, 0xa2bd7b47, 0x4e013045, 0x2583de39, 0x012d30f1,
+    0x956d1bd7, 0xc620dda2, 0xea13837d, 0xc7c8e231, 0x527dbffa, 0x26df6dc5, 0xb48a8140, 0x1ec4a270,
+    0xe5e1c970, 0x3ca18dd0, 0x6d6edf1e, 0x6ae42f68, 0x4076b368, 0x1d0481c4, 0x87a0d4c4, 0xaf52a5fd,
+    0x4e15627a, 0x02ebd302, 0x64ac5a19, 0xbc4fa9a9, 0x02247e87, 0x9e73e051, 0xa014606a, 0x2836398c,
+    0xfdfb33f6, 0xe2fe2cba, 0xf18ace64, 0xedf87f37, 0xa597f0c7, 0x2218b9fc, 0x9cc8a1cf, 0x458952ff,
+    0xca92b942, 0x60bec6ef, 0xdf9b380a, 0x17faffa8, 0x67230e0c, 0x0344cd01, 0xc0f2a62d, 0xa0715f65,
+    0x26b5e1bd, 0xccf53454, 0x29015e73, 0x8c990ea5, 0xcd30d7fc, 0x9f63fee3, 0x26d7baf0, 0x4b1bc77f,
+    0x225ebf87, 0x45254fe1, 0x86c97d2c, 0x30bef960, 0x6dd22405, 0x69bb729a, 0x1db0caa7, 0xfa3813e6,
+    0x27a3f1d7, 0x267f83ce, 0x5b866669, 0x2da2b4bd, 0x0ac25a1c, 0x4d1d7367, 0xfbf65fda, 0x6f084ff0,
+    0x76331638, 0xa6771a05, 0x9b2d02ec, 0xc9b16372, 0x13cf3063, 0x106a8948, 0x8a7a2533, 0x71f76881,
+    0xcbed88e3, 0x873aa683, 0x693b03ba, 0xc86a7241, 0x1b63575d, 0x05091795, 0x55489d6c, 0xa46419cd,
+    0x69a619b5, 0xbbdf1713, 0x91b89b17, 0x3f2f194a, 0xbb1d9b66, 0x73321e7c, 0x640f2ed2, 0x8a26e813,
+    0x7c29da75, 0xc109bd34, 0x3e4360e2, 0x5babaf58, 0x628dbff3, 0x00520fbc, 0xc01485c1, 0x8470a95e,
+    0xe8142d00, 0x7ac5f3e1, 0x8f93f2ba, 0x300c0f4f, 0x40717fb1, 0x42ed1572, 0x245461ab, 0xa8b6855c,
+    0x5aba77a8, 0x7b3796c5, 0x15d91d41, 0xb6cf23ef, 0x266e2255, 0x1dd5ac53, 0x50a86022, 0x24cc3815,
+    0x113ca3e9, 0xa5b749ea, 0xf8cc70d0, 0x5da1b4ef, 0xe745c223, 0x4546d271, 0x42fb6f9d, 0x90eb2899,
+    0x743e253a, 0xaab416ac, 0xa6cdc160, 0xfa35fdff, 0xf068f35a, 0x49e1fd72, 0xc250e77d, 0x04e25cdf,
+    0xac9aec49, 0xe0e464cf, 0x7b3add7f, 0x6c57f21c, 0x0a777b68, 0x4963af77, 0x9571441c, 0x5d3ba0af,
+    0xf355976e, 0x7fa6cb42, 0x5c376d90, 0xbb30311b, 0xad7cede9, 0x6261c9b6, 0x6e70c6e6, 0xd721f237,
+    0x5ae1967c, 0x2b3b3bb4, 0xd13e2d50, 0x0301cd66, 0x84bef359, 0xed9ae65a, 0x35b18933, 0x1c3a91a5,
+    0x9207dec8, 0xd6d1ee24, 0x54a39484, 0xc746b02d, 0xf09fef77, 0xa1a32182, 0xc3222b02, 0xd5c86124,
+    0x2c046479, 0x61cf843e, 0xbdd67b2b, 0x6ac831d9, 0xbf4ac0b1, 0x82497bd3, 0x1dc2b49d, 0x94aa647d,
+    0x91f5431a, 0x1a3a573d, 0x8f9eda8f, 0x269369e9, 0x2227563d, 0x98071048, 0x2cfe3161, 0x4984a868,
+    0x8b69db12, 0xf9c047ea, 0xb7847327, 0x33fae75c, 0x62ed6fcd, 0x34ce8084, 0x3a6a721f, 0x312f013e,
+    0x138a60b4, 0xc0320abc, 0xfa25e7f6, 0xb2a78bca, 0x1ef4be97, 0xbde626f1, 0x2f7a93f8, 0xb2783542,
+    0xc67417d5, 0x146b2333, 0xc3147ac2, 0x6f43ae66, 0xda5907ad, 0x4d233f2b, 0xde3b3a8c, 0xcd669cbd,
+    0xe9f39b8e, 0xbaee3049, 0xc5290649, 0x2cdebb9f, 0x45bf69b7, 0xc41383fd, 0xb3578c8c, 0x020517a0,
+    0x7029c933, 0x24785ae9, 0xc169744b, 0x44e7351c, 0xb07e7b4f, 0x14d702a7, 0x88270232, 0xdf0d761f,
+    0x1f0c3018, 0x77aa354b, 0x5f032a08, 0x766a9e49, 0xa99dc8d3, 0xb0f6bff1, 0x381fed4c, 0x5571c875,
+    0x12dd4b37, 0x5691f3cb, 0x7a29fc38, 0xdffd240f, 0xf16f6ac0, 0xac9b90e1, 0x06783a10, 0xabcb03c9,
+    0xe058f35d, 0x890013f1, 0x01777b19, 0x5f69c54e, 0xd42fab43, 0x6714c790, 0x48b6da72, 0xc3fc42ed,
+    0xb8e5c0b0, 0x43ed4f77, 0x34bc47d8, 0x7f857197, 0xb97799dd, 0x1dc07e36, 0x61943188, 0x80d6ea82,
+    0xaa65e089, 0x4143f016, 0x5a11dc04, 0x066c9499, 0x7d093e2c, 0x30a2e9d6, 0xd87444b6, 0x4a697cbd,
+    0xf6f24d5b, 0x1eb30167, 0x11cad8a3, 0x2bab5677, 0xb5c52ec5, 0x527cf967, 0x36ed25ce, 0xa4c7de25,
+    0x72944dec, 0xf1e998e0, 0x61b28e4b, 0x78f50ee1, 0x4f955c0f, 0x1c68532c, 0x341ecf5f, 0x9cb912f3,
+    0xc362bc34, 0x03a93849, 0xc631ef20, 0xb0cd1a40, 0x49d82691, 0xdaa0620a, 0x9f82c734, 0xfff7225e,
+    0x44f42c5b, 0xce71ddd4, 0x52a5832c, 0x7319f9a3, 0xd5d49435, 0xdf72de64, 0x3fafce68, 0x7a48d75e,
+    0xd7cfe277, 0x719e71d5, 0x4e93492e, 0x11657e9c, 0x87e9e44c, 0x79087e77, 0xbd05f7cd, 0xf9addcb0,
+    0x1a87f16f, 0x9b63850c, 0x4ec02013, 0x4dd33ed5, 0xa13ee6d9, 0xfba11346, 0xbd0f6b5a, 0xb897edaf,
+    0xa2bb0c40, 0xd654bdfc, 0xa7565bad, 0x3f025ce9, 0xf09eeef4, 0xc471711e, 0x6b7ae5fa, 0xdca3b482,
+    0x8aa837d5, 0x0f2f2673, 0x05e17862, 0xf0674f34, 0x3f5e3d33, 0x0b83fec0, 0xe767a79a, 0xc41efdd6,
+    0x72c81a54, 0xba756c22, 0x0522f32e, 0x27966348, 0xa34d5ec4, 0x66a89fff, 0x8906f8a1, 0x2fd0553f,
+    0x977942b0, 0xba1863b1, 0x2f91c845, 0x696e5488, 0x92564ff1, 0xeb17e521, 0x2c271b5a, 0xbe1f8780,
+    0x1ce6b79c, 0x97a56c2b, 0x0e9d2e2a, 0x93f9784a, 0xc6faa548, 0x028ea464, 0xe26db896, 0x63636fe1,
+    0x8370cfca, 0xa0174563, 0x3b832c90, 0x55b8daae, 0xbb5cb904, 0xbd923d2f, 0x82214d51, 0xa3324d0b,
+    0x7e3f3667, 0x27eb0122, 0x708a6710, 0x7b67fc14, 0xac694dc0, 0x771317fa, 0xc8515125, 0x6829d481,
+    0xffe4150c, 0xd9c51352, 0xf2845a76, 0x00fe06d0, 0x3b5af18f, 0x13c68171, 0x52c234d0, 0x2be736f7,
+    0x3c1a74fb, 0x1ee72f4b, 0xc4ee16cd, 0xa7503ad1, 0x3a73b563, 0x72fcfb22, 0x14b5259f, 0x10337a57,
+    0x84a7ab98, 0xea6add7f, 0x1f629b76, 0xa360e70f, 0xba3ed28e, 0xe684a4ae, 0x97f06025, 0x7f407875,
+    0x8a83d4e1, 0x13857ba8, 0xa4ed4c19, 0x89608623, 0xbe8eacb9, 0xb20e83b5, 0x6ce90674, 0x9d3d1da4,
+    0xc35a3268, 0x67effc0a, 0x1369292e, 0x458fb662, 0x46d5625c, 0x7a955721, 0x7bc1b8fc, 0xcbda989c,
+    0x545ca7d4, 0xa7e38dce, 0x999c7a56, 0x7dd82bcc, 0xeecc4383, 0x3c52bcb4, 0x8ba60fde, 0x397b6270,
+    0x7439ab14, 0xfccb2714, 0xb2ce6136, 0x4a5ec3d3, 0x0ab6d3f8, 0x41064a77, 0x8a0d59cf, 0x3d4f04e9,
+    0xc10f7dd4, 0x625a850e, 0x01a4dea5, 0x9e98fe2e, 0x57728104, 0x56ca7f1f, 0xdceed730, 0xfe91619e,
+    0xc66c6ce5, 0xad019563, 0xda3e16f2, 0x5dbff7b2, 0x71f59c67, 0x1574aa2c, 0x78c91f13, 0x3716ad64,
+    0x4317935a, 0x23f86ed4, 0x4fc2d9b0, 0x1141e409, 0x065c66da, 0xc4ee75bd, 0xfbbce1e7, 0xffd05a0a,
+    0x940160cc, 0x62fedc20, 0x2d814197, 0x1b1181c5, 0x42593c5f, 0x16cf3691, 0x8e01461b, 0x02206305,
+    0xbc60663e, 0x101cd586, 0xba0070e9, 0x2593cbee, 0xf4289cb0, 0x15b7eaea, 0x5bb40f0f, 0xa0ae07d3,
+    0x0d5fdedb, 0x252e67ea, 0x56ae11bf, 0xb491d4a5, 0x18b73f59, 0x904afc6e, 0x13444751, 0xdaf1907a,
+    0xa917dd6c, 0x6196b54e, 0xad96613f, 0x34753b61, 0xeb623d05, 0x03e46c95, 0x7b00c274, 0x2fe08cd6,
+    0x0afcae09, 0x1dfdbecf, 0xcff5b10a, 0xf005fc3f, 0xd250ce38, 0x1bdbb415, 0x3c62346c, 0x474b37d8,
+    0xd0121fa5, 0xd8716e1b, 0x80c6d3d7, 0x99beb8bd, 0x3014db55, 0x138750c3, 0x5af785b1, 0x76f08d75,
+    0x66d738db, 0x9db2e8ca, 0xb5d58b4a, 0x6c47a8c9, 0xdc7ef831, 0x68759089, 0x81d918d4, 0x67e36cf2,
+    0xc603a0d6, 0xf5f89217, 0x6e464054, 0xc5d700cf, 0xb8e42baa, 0xca1845b2, 0x2bfc1b03, 0x5339eefa,
+    0x5df5fb7a, 0xf5f2a44d, 0xee0a95db, 0x0f45fc98, 0x8f8d5ea1, 0x917c0c67, 0x1e0209df, 0x66ea92a4,
+    0xf11e41f4, 0xd1406125, 0xc7dd4550, 0xe1405849, 0xb4ab4f2a, 0xb8b4604c, 0x3ab7510e, 0x535ccfeb,
+    0x0a65af6d, 0x1459ae0e, 0x689fa2e9, 0x262ba6f4, 0xcdb7f3f6, 0x1991eabf, 0x7ee7624d, 0x1e1bf244,
+    0x726f5e3c, 0xa9f61330, 0x6300ced4, 0x9a416e66, 0xa0bb06b7, 0x76b98285, 0x44b0f281, 0x0b01c254,
+    0xa1607bda, 0xac3cefb0, 0x74e84b85, 0x50dcaa1f, 0x313497fc, 0x6442df3d, 0x727f5b79, 0xf7e453c0,
+    0x94437611, 0xf63279d9, 0xe12541aa, 0x704c8033, 0x232da329, 0x38520216, 0x315e66dc, 0x68aaa5d7,
+    0x624a40a8, 0x685f92d9, 0x8e9c6f19, 0xab867f89, 0xd5bc3f82, 0xfbf2ba15, 0x5d1e849a, 0xe3a3352b,
+    0xd6d10055, 0xa3595c1b, 0x566dc9ae, 0x718a5257, 0xe0868896, 0xb5c311e4, 0x96673f27, 0x7122ac16,
+    0x942183f7, 0x0ff1a081, 0xb590269a, 0x200041af, 0xde4dc3ed, 0x3a9222c5, 0x457256d1, 0x3288ac57,
+    0x8a0f7fce, 0x9f8ef428, 0xb98a9ccb, 0x5835e60c, 0xfce253fa, 0xb6eb9adf, 0x95781e2f, 0x3ff642c2,
+    0x86b438c2, 0x74dc1afe, 0xf7613641, 0x1a038242, 0xd7a8d7c8, 0x98c0cad5, 0xeef2a65b, 0x75e53367,
+    0x75ea8e50, 0xcf921021, 0xdbe3639d, 0x7d756e66, 0x920f2f11, 0xf14f7d66, 0x5705dc33, 0x09d7f089,
+    0x8abde755, 0xadc24f04, 0xaf1a16cf, 0x3424a862, 0x1ca53618, 0x0c408757, 0x9304459a, 0x7cc05ca9,
+    0xf1f3b48c, 0x227b9dc9, 0x318fdb9a, 0xe43aab71, 0x5e76c65c, 0xa0729f29, 0x70a3bf59, 0x0871e616,
+    0x9cca2ff7, 0x299e2d63, 0x55bb0150, 0x6a54b07b, 0x9ac513cc, 0xda2466e1, 0x81e26a91, 0x7906cda2,
+    0xf7f95c2d, 0xa93c5ad7, 0x0ff1ac66, 0x28282295, 0xbfc970ea, 0xf52e54ff, 0x935538bd, 0xee5eb04a,
+    0x7ec3910f, 0xfba28f69, 0xa34f877c, 0x857c9753, 0x14f8eaaa, 0x606dc304, 0xa4326dd3, 0x90bb5d12,
+    0xb3f9c702, 0x0cca3206, 0x63be3e19, 0xb73c5119, 0x600c6646, 0x45e544d3, 0x78c951a0, 0xfea10b6c,
+    0xabdbd82b, 0x9f568ff0, 0x61ceff2b, 0x43a31a4d, 0xb3f34cbf, 0xe6e5c8c0, 0x65b91bd5, 0xb1d6d207,
+    0x1604796c, 0x091ba191, 0xa9c155b2, 0x9ecc3ab1, 0x9f7540b4, 0x83547ea9, 0xde8d4687, 0xbd80cf9b,
+    0x1fcb1d28, 0xcd7d970f, 0x847cb90e, 0xcc6f700e, 0xb7003c8d, 0xa606dfc6, 0x5b1e28ab, 0xd0d78357,
+    0x6e719cc9, 0x34e9e235, 0xb8d3ccbc, 0xa6131988, 0xd070755f, 0x21d9afcd, 0x1cdc18cd, 0xc89cda3e,
+    0xf39ddad5, 0x32b774ee, 0x7590ecbf, 0xb78deacf, 0x4a59ed65, 0x6a4d0f5a, 0x338c249e, 0x949471d5,
+    0xb7578e37, 0x731e8fc6, 0x9462fd81, 0x3f99da9d, 0x96a91f08, 0xf764460c, 0x1712607a, 0x9c0bc35a,
+    0x00000000,
+    0xcd1b8afd, 0xd49a784b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000004611686018427387904 */
+  { 0x00000000,
+    0x3b618b2d, 0x78b975e2, 0xab17c77d, 0x33e30956, 0x85792201, 0xf265477d, 0x75331c69, 0x3770ba0d,
+    0xc19c95da, 0x7a51c6d2, 0x2b55280a, 0xe765ea09, 0x2badf406, 0x503b6a4f, 0xae5a0513, 0x77cfd41b,
+    0x3b21ce6b, 0xe8710f78, 0x1caa44a2, 0xe755b48f, 0x51451c97, 0x6f4ee119, 0x404a0991, 0x7b6050f8,
+    0xc2b62b13, 0xc4934162, 0x3ad9b9a3, 0x839244c9, 0x0da72308, 0x521bdad4, 0x8a262632, 0xbab2441e,
+    0x1eb8efd7, 0x7220472a, 0x4f7277d5, 0xc9f24bac, 0x2b1901d8, 0x1027d709, 0xa3038fe7, 0x3ff2a627,
+    0x2a5516fc, 0x79f14be1, 0xa95ecce9, 0x66a22f51, 0x3d19006d, 0x6469b979, 0x0416ae42, 0xbc00cf3e,
+    0x53749ec2, 0x49effd34, 0x3aec280f, 0x06843f33, 0x3165c5d3, 0x0cca5852, 0xd8f761ea, 0x5c924855,
+    0x044660cc, 0xf62eb320, 0xb36c9052, 0x5ace490e, 0x0588b00a, 0xe3808457, 0xa24908c2, 0xc047228b,
+    0x7665170d, 0xafcd5e9d, 0x9e3f6cd6, 0x6288a10e, 0x0087370c, 0x0d28e565, 0x6ae8d5ed, 0xb2441fac,
+    0xa77e1c1e, 0xf380c814, 0x08e5869d, 0xbc57bccb, 0x921a908b, 0x96f9682e, 0x14b558c8, 0x9e433e23,
+    0x68dba0df, 0xaf019b32, 0x8375eb61, 0x3ffc0814, 0xadcd9ced, 0x3420af20, 0x8ff4b6fe, 0x5ad89f78,
+    0x9428b77b, 0xf340fe2c, 0xe75db9c0, 0x1f910ee1, 0x27f2fc3e, 0x4f3d6ce2, 0x561c94e8, 0x40301d36,
+    0x18af4cd2, 0xca0b7c57, 0x880d9f0d, 0xe848ee32, 0x79c47494, 0x3fa76c9c, 0xd9530990, 0x2f6e419b,
+    0x615675e2, 0x0d26dfce, 0xc50c20f3, 0xec472832, 0x55703fb0, 0x2bde5c8a, 0xdc2904eb, 0x587361e4,
+    0xba4092d9, 0x26981b48, 0x1de4bbd9, 0x03b97911, 0x8f4458b1, 0x4d558294, 0x4efa81b8, 0xff2cac16,
+    0x6712a4a7, 0x357efcf5, 0x8ecfc09c, 0x61577aa1, 0xa7c003c9, 0xd1d0311f, 0x9e6bece1, 0xc2d6ac24,
+    0x036640eb, 0xb8116cb8, 0xa3b700dc, 0x1c68831a, 0xa9d51581, 0xf43a894e, 0xc49db3ad, 0x2d2923a5,
+    0xd4fa791e, 0x307c0812, 0x06e9ea38, 0x2350b469, 0x3410d0d7, 0xda83e19d, 0x3bfade7a, 0xf6235970,
+    0xebc7f9f7, 0x69eeb14e, 0x7d8c4586, 0xfc7958d5, 0xd8cddb48, 0x2e8f21b6, 0x74c6958b, 0x37ff3674,
+    0xd3113f37, 0x75ba8954, 0xbc6b2426, 0x3bc1915c, 0xf80ba210, 0xedf56826, 0x86a5c7df, 0x09e4d958,
+    0x7108f577, 0xf35822be, 0xfb47a019, 0x8c70d0f5, 0xe4fbaced, 0xa5631399, 0xe62afceb, 0x44defea8,
+    0x27fe978b, 0xc50749d9, 0x95455a4c, 0x454d0f7f, 0xd8e9c1e5, 0xdff4645b, 0x46b50393, 0xad260cc6,
+    0xbb2fd321, 0x4749636d, 0x24be2991, 0xca866e7b, 0x2730eb21, 0x63b10927, 0x03898464, 0x47833e60,
+    0xb3baa4ad, 0x7080e18c, 0xde736344, 0x2160e710, 0x0f781b6b, 0x73fa6109, 0x73a2a06e, 0xa768c6a6,
+    0x8c99c34b, 0xad226ec7, 0xfd712b2d, 0x50349d25, 0x6988b173, 0x886bae18, 0xef2c3969, 0xc6621023,
+    0x990a777e, 0x70ef3187, 0x9c286271, 0x3d567afd, 0x318cc537, 0x045896ef, 0x79920c5f, 0x98cd045d,
+    0xccbc2441, 0x8a891f21, 0x29a7a23f, 0x88210a52, 0xc7d3b41e, 0x0827431c, 0xcd0d92c0, 0x0af3bb07,
+    0xfb9ccb67, 0x68c8beed, 0xb6c4c8ab, 0x0d0d085e, 0x05df4d15, 0x71121ad2, 0x789f14b7, 0x4e70f8ea,
+    0x152c8942, 0x93d01cfb, 0xacde9778, 0x048a76fe, 0x5dbf10ee, 0x6506082b, 0xd6ada033, 0xa8c58626,
+    0xa76e40d6, 0x3e1d8c7f, 0x74fa590d, 0x39866b68, 0x1c232589, 0x35245645, 0x5e4897e8, 0xb5f7ecd0,
+    0x688be575, 0xf8eed89e, 0x090c1114, 0x748b7d26, 0xfc1e6726, 0x7f8671c7, 0x139876d0, 0x9014e74a,
+    0xbbc43dea, 0xba53c6f7, 0xbac97231, 0x5426081e, 0xf544872a, 0xaa76b5c5, 0x845510bd, 0xe20b2db0,
+    0xc30859e7, 0xf4f43a18, 0x8d316137, 0x5e86102f, 0x3a196e38, 0x2735a73c, 0x84186eeb, 0x39a2f80f,
+    0xbba42406, 0x6e18b67f, 0xf3da44d1, 0x71d44e35, 0x78d0d657, 0xf0a1f0e1, 0xc4f02110, 0xeaa1cc2a,
+    0x1fb419ef, 0xe1d9f600, 0x7fbcf0aa, 0x21453d96, 0xfd139148, 0xd55bada7, 0x05e550fe, 0x5934d8f9,
+    0x49b9cf60, 0x5f34c09d, 0x525f74ad, 0x449577c7, 0x97d3f173, 0x22b61046, 0x7e73ddff, 0x795606ae,
+    0xae584f92, 0xf5d32941, 0x2fce2f07, 0x8ff7263e, 0x43aae376, 0xc1a983ee, 0xd507b8c8, 0x269fc885,
+    0xec14d62b, 0xe58bb94e, 0x9b8e3cf7, 0x7ef2a046, 0x044c0951, 0x8c7dbae8, 0x7132a188, 0x931c3ca7,
+    0x5bf9947a, 0xe1de4f46, 0x7a1a7502, 0x6f349a04, 0x36397de0, 0xf01efb44, 0xa5239fa1, 0x9562da39,
+    0x73aa8757, 0xc516e458, 0x2403df3e, 0x57b121cd, 0xbb748dec, 0x368060dd, 0x9d2daa81, 0x72386658,
+    0x363a867b, 0x2a025e8c, 0x7165e30b, 0x9cc674f0, 0xac365552, 0xe2267a0c, 0x655b6cc9, 0x47d7fdbc,
+    0xe1bc7feb, 0xecd90b86, 0xcb43877d, 0x8a316f83, 0x52a7813a, 0x71a18fba, 0xa4035228, 0x34ebe05b,
+    0x01f51afa, 0xbb04d654, 0xccda564b, 0xdd74d79c, 0x14b2200c, 0x47c05996, 0x98373ce8, 0xfab550c4,
+    0x8b7c8651, 0x1ff1247f, 0x7495177e, 0xa66a1e7d, 0xf874dab0, 0x282f6eb7, 0xe8101da1, 0x8b388096,
+    0x1f0c3d0b, 0x3257db83, 0xd64f5f52, 0xc5bb27b3, 0x1da718e3, 0x21a451ed, 0x9e4df07b, 0x3744e06b,
+    0x8d1a9027, 0x055067ef, 0xdbc084d5, 0x03534571, 0xce2f1ea9, 0xaed0d9b2, 0x3d8fdab3, 0x549bed5a,
+    0x32e2c3c1, 0x26ee313a, 0x6ab6f316, 0xb1524dc7, 0x96d5e71e, 0x97d68ccf, 0x7032cbf7, 0xab9e6495,
+    0xdd110d3d, 0xcfc3ec4f, 0x12f4c77f, 0x879717d2, 0x63c66496, 0x09921ab2, 0x87639562, 0xdcc97cde,
+    0xa763ebf6, 0x6d646f2c, 0x5e95ecb4, 0xe35a7ac0, 0x41bd3581, 0x60ab132f, 0x7ac6a8a3, 0xd5c63a11,
+    0x8ca5a406, 0x3ea2433b, 0xdf663441, 0x5fa33c03, 0x87ad5d2b, 0xca5c65f6, 0x6818c6d8, 0x9164cd0b,
+    0xd6ae0916, 0xc3838f16, 0x6d25ddbd, 0x2be7d23a, 0x703a7946, 0xacd1c237, 0x366e01a3, 0xc3084994,
+    0xa3f0be96, 0x21620fc6, 0x6e8e2404, 0xeb966f37, 0x89b41d8e, 0x4e61eb8d, 0xec1112b9, 0x0951c6bd,
+    0x1c5ce902, 0x2011e3dd, 0x4a5c698e, 0xc452928a, 0x9e7f0aeb, 0x940b284b, 0x07aaae62, 0x92c4fea7,
+    0x2fd0952e, 0x0d1e7f66, 0x597df7eb, 0xa77cc9ad, 0x1cc2600c, 0xdf7c4b6e, 0x902b8472, 0xfdc0e6a3,
+    0x153fc0cd, 0xaf412072, 0x63faaabd, 0xa0f74374, 0x0147b368, 0xd6bc170c, 0xba77def9, 0x0a24c2b1,
+    0x6e03e91e, 0x13916093, 0xb5d76bac, 0x61eac3a4, 0x894454be, 0x34d46ce2, 0x616846d9, 0xad1de590,
+    0xda229000, 0x89d209dc, 0x26279922, 0x4ecdc571, 0x56819668, 0xe8c14bbf, 0x8a346aa3, 0x8d84a940,
+    0xa9c804a0, 0x3959fc9d, 0xbcdd6d55, 0xcfe3a6f3, 0xbf580693, 0xf3bebcc9, 0x545acc15, 0xadb2dbb0,
+    0xbd8f6454, 0x2770c3a7, 0x0ffca59b, 0x05d506ed, 0xea36aeda, 0xc37ef491, 0x6d0f21ef, 0x70d070cb,
+    0xa7f16261, 0x2824beea, 0x2809c1c1, 0xc568b759, 0xb3499069, 0x8f996389, 0x53cad545, 0xbba13b58,
+    0xc3823aeb, 0xa5d2f90d, 0x7b51c598, 0xe6e1375d, 0xb12718b3, 0x9373efaf, 0x0c63059b, 0xb7bbd9b6,
+    0x9830163f, 0x0558fb5b, 0x6e825458, 0x5cb44517, 0x531fdc78, 0x1f43d053, 0xed1d43da, 0xa7622567,
+    0xc588c8b3, 0x40957e5b, 0x19d40a33, 0x91eba9e5, 0xa38062dc, 0x6cc68f63, 0x4e444907, 0xeabe595c,
+    0xbc88d409, 0x7c383c84, 0x204a5860, 0x025ad362, 0x091434f2, 0x0e5e7dc2, 0x893cec44, 0xa1779ac1,
+    0x793cf8ea, 0x3faf43d8, 0xc282d383, 0x6a62e213, 0x73359a0e, 0xdac172b6, 0x611bd231, 0x1ac2b318,
+    0x2a7e3422, 0xdc2bebe2, 0x5c2f78cc, 0x3bd343ae, 0xc9f4a9c0, 0xde038a94, 0xcef0de59, 0x53b672ca,
+    0x90282f0e, 0xc294432d, 0xa9fc7741, 0x78882573, 0xc06e1b69, 0x535564bb, 0xef1105f1, 0xe9a5de4f,
+    0x6dfc3072, 0x524d8f40, 0x3ddcae1b, 0x730c6294, 0xc664e6ca, 0xf2e185ac, 0x487b818e, 0xe4619aac,
+    0xef3a4177, 0x9902be88, 0xca48fb75, 0xa2ed36a3, 0x8c8fb9d9, 0x8f7aef72, 0x63c246a9, 0x259ebabf,
+    0xd778e839, 0x2066e3ab, 0x8e6f365b, 0x43f182dc, 0x551755d3, 0x67088e0f, 0xf1c23703, 0x523a6f82,
+    0xab73da70, 0x6a4807f2, 0x50c89ca5, 0x859aa650, 0xa4bd0a69, 0x5e4346bc, 0x9b839424, 0x3984c7f9,
+    0x107df4db, 0x3aa65a3a, 0x432430ae, 0x86a37624, 0x9e759da4, 0xb85400b8, 0xd9a0c070, 0x84d0765f,
+    0xcf1c196d, 0x48d63c56, 0x92208320, 0x33436345, 0x5d345052, 0xaff9f521, 0x4105432a, 0x7a7e067c,
+    0x55d240b0, 0x89779051, 0xde40f3af, 0xcffdd819, 0xa7ba27fc, 0x6556dc9b, 0x88cad4a8, 0xfc62ece1,
+    0x10d75f63, 0x1a05a4c2, 0x99cd5177, 0x71c5c912, 0x1ebab2ab, 0xdd481815, 0x3c25448a, 0x2e940d7a,
+    0xe41a6a2c, 0xcc7a2a9e, 0xdbda9700, 0xe000c087, 0x13facd72, 0x9fc7e990, 0x1c521ff9, 0xd9801395,
+    0xbf0236cb, 0x7732fdd2, 0x37eec96c, 0xcb156766, 0x5857a44f, 0xa846ed3d, 0x91262f14, 0xa37b752b,
+    0xf2943fad, 0xaeea99bc, 0x16868de4, 0x04a2dcd6, 0xfeee4b92, 0x5b5ee1cc, 0x0ddf25da, 0x357f0d41,
+    0x7ce86cec, 0x72227997, 0x13d68020, 0x44df9097, 0xc0d09387, 0xe84ff276, 0xa8df9654, 0x4f4d02af,
+    0x0c2f4e25, 0x43720797, 0xafe1c007, 0x18848fae, 0x2403928a, 0x83e956f5, 0x8e71ec44, 0x74481f9f,
+    0x42d72f08, 0xa6627898, 0xce396373, 0x5b84669d, 0x9840409a, 0xeae16bf2, 0x7bd9e744, 0xada038e2,
+    0xd07c8aeb, 0xedd78749, 0xa9ca8fd9, 0x63d784d2, 0x32b97aa3, 0xcfabd743, 0x8ea0fd99, 0x12797d99,
+    0x92bb0371, 0x9020c852, 0x7e2186f2, 0x869a87b3, 0xec955ad5, 0xe4f1da99, 0x5d8f5c69, 0x96636859,
+    0x6998002f, 0x7d2ad6eb, 0xeb73e9f5, 0xa9dd225a, 0x7d0b1432, 0x6e5414fa, 0x10ed3c39, 0x257c45fd,
+    0x06ac6e1d, 0xcac14500, 0x6b10cedd, 0xccf5aeec, 0x9cdafc19, 0xd9babdad, 0x81afe479, 0xaf45cea4,
+    0x2f74b016, 0xf908e3fc, 0xa4f6adb6, 0x5fb72497, 0x6f3e926a, 0x9d7105f3, 0x4a5cb28d, 0xb26ad60a,
+    0xf1bfb08d, 0xdbccbb1a, 0xd8bc8e0b, 0x55676cce, 0x25b23651, 0xeaf6feda, 0x80ddd4a5, 0x1deefca3,
+    0xa4d25ad2, 0xbbae49b4, 0xae254f2e, 0xcaf4830c, 0x9777dbec, 0x4124d2bd, 0xd4988895, 0xf0a4a528,
+    0x4cb32e08, 0x74dd4ea8, 0xa71bfaa8, 0x39204e04, 0xf45b3ac5, 0x473cd0ff, 0xf79b7915, 0x4c0de34f,
+    0xbacf8759, 0xed5aabaa, 0xeb6aaa6e, 0x60dff08a, 0xf6cded9e, 0x95732044, 0xa80b31fe, 0x0c7bbb18,
+    0xe263b284, 0x2aeb23bd, 0xaa774d85, 0x475928ef, 0xcf8b9ca8, 0x428da542, 0x0cda0b53, 0xc555d7b7,
+    0x1fcc3bda, 0x20a36410, 0x2573be1e, 0xf915aa41, 0xc0fb5d70, 0xf46cdac7, 0x63989ec1, 0xb169242b,
+    0x3257c3a4, 0x8addbe28, 0x998db9c0, 0x3c03d5f6, 0xe3220a21, 0xa63bbfe2, 0xf8a7c9ea, 0xedc9da50,
+    0xe7f8a895, 0x68ebd2d4, 0xd9f20935, 0x8f5a5e9d, 0x95537a31, 0x8357f2c8, 0xaa7e7419, 0x9de1d49d,
+    0x0579519d, 0x3f845e4e, 0xc9a220e9, 0x54a3e1d6, 0xfe2269cd, 0xddaa5ae6, 0x365e1334, 0x6933a06e,
+    0xea8dadfd, 0xc49058e7, 0x9a350265, 0xc8a5fcf1, 0x9e4a2d46, 0x776482a7, 0x634ddab0, 0x7e0364f4,
+    0xf1b4339c, 0x4769d992, 0x24a6ad4e, 0x09986166, 0x597ffe7a, 0xb74567dd, 0xbcb0442a, 0xe6f7ec6a,
+    0x0deb62ad, 0x58f42b99, 0xb9afb770, 0xc8b2bc2c, 0x7f4a05ea, 0x6610a011, 0x5f9869e7, 0xb9707d68,
+    0x559557a7, 0x9c7b30d3, 0xb9a901f2, 0xbcec9996, 0x49a3e6da, 0xdac12bbd, 0xa072eadc, 0x473d5331,
+    0x26f0811d, 0x01b8a09d, 0x2c22e31d, 0xb1269007, 0xa92a7782, 0x5e147c6c, 0x3d821cb1, 0x41c8ac04,
+    0x404f4cbe, 0xf7d8b202, 0xa5b71477, 0xae9cedde, 0xb22f8d34, 0x824823f9, 0xc666bb2b, 0x53d75097,
+    0x27e37dd1, 0x5d1014f2, 0x36e9a8d4, 0xb52b76fa, 0xcdf3097d, 0xf90a2ae6, 0x5b69a35a, 0xabe629d3,
+    0x8e6c0745, 0xa1f2c957, 0x2585c8bd, 0x51179e45, 0x0c4eab41, 0x32a59bcd, 0xada40db7, 0xbbd8927b,
+    0xdf32ca95, 0x77a14a36, 0xf0cbfd28, 0xec183182, 0x4b2348d5, 0xeb35ac87, 0xc5d09d4b, 0x567b5d9a,
+    0xe07f63dc, 0xf4a28cdb, 0x630f58b8, 0xceabcc2e, 0xab477421, 0x9fe4d46f, 0xe42a13d1, 0x2a5f9116,
+    0x5c30c42e, 0x3da8c9d6, 0x20e6f9ab, 0x8afd7b83, 0x03e188d6, 0x8585d6bb, 0xae703b9d, 0x4dc49229,
+    0x4300a32a, 0xa0b27eb5, 0x5fdf9885, 0xa79f5045, 0xb995dd7a, 0xa88f7e49, 0x56571994, 0x7c8d669d,
+    0x19e4c74e, 0x19fa1d9b, 0x8b2919f8, 0x5e214d05, 0x31c8c0c4, 0x0da6fc9e, 0xfb5685d6, 0xff306aab,
+    0x766270b5, 0x05e0fa68, 0xcbe8c018, 0xbb067332, 0x6c365856, 0x79464dbd, 0x36e8a96e, 0x80330678,
+    0xa7bd3e83, 0x797406dc, 0x8d4a647a, 0x28781116, 0xa341dfdb, 0xda026038, 0x743146ae, 0x50af0f34,
+    0x3dbb3763, 0xda25ee15, 0x1a4b6f4e, 0x87b7058e, 0x88527241, 0x3c5b6825, 0x873be942, 0xa39f38fe,
+    0x3501de38, 0xedbecef1, 0xca078e37, 0xde941c7f, 0xdfe1644b, 0x4e8d9753, 0x9e3d9c60, 0xf17ed94b,
+    0x23d2c2db, 0x67eb90d8, 0x45113da6, 0x546db9c4, 0x37e326d2, 0x79e35465, 0xb278f37e, 0x6c281681,
+    0xf6cc08b3, 0xe14feb4c, 0x20725d45, 0xb67be661, 0xe13bdaf0, 0x32d76184, 0x33b7a1b0, 0x16717e95,
+    0x00d5de12, 0x694b1992, 0x4de311e9, 0x19a1ebcc, 0xe4665f62, 0xbe5ff3a0, 0x09a78412, 0xd31bfc51,
+    0x212e1f08, 0x5779b0d4, 0x084823b4, 0x1a568f2e, 0xd993e7aa, 0x003f3586, 0x9000e646, 0x4fdfb44e,
+    0x5afa5e81, 0x2ba500a8, 0xfbf8f71d, 0x10d1f92f, 0x2e4b45b7, 0xd028221c, 0xa7d4b1f8, 0x89685858,
+    0x2dc29cf1, 0x8a166756, 0xb8cccadc, 0x5d90f39e, 0xc86cc091, 0x74a40210, 0xaf602e76, 0x9f17258a,
+    0x24ad32db, 0x1c8f1e23, 0xe8207228, 0x9c098cae, 0xaa63a10c, 0xb56705d4, 0x51d412e8, 0xf2299017,
+    0x4d378671, 0x585294c3, 0x742da560, 0x8cc81475, 0xf67f854a, 0xafe80cb8, 0x2cbdc598, 0x9d983108,
+    0x2f474d72, 0xd64a6933, 0x96fbc5b2, 0xe257fc31, 0x4ddc16b9, 0x6c12fd6f, 0xdbc5a4fa, 0xd28dafca,
+    0xab0b14f4, 0x3895af90, 0x0f637580, 0xc7ac92f1, 0x3f87b873, 0x09583ded, 0x3a74eacc, 0x1a21790e,
+    0x13797ca1, 0x2b18dccc, 0x09f45742, 0x478aafcb, 0x2205bf57, 0xd048313c, 0xb4fd9785, 0x5180fcb4,
+    0x2cb98acb, 0xc5f18ec0, 0x7f6d2587, 0xee4f4786, 0xa759d783, 0x1960a366, 0x23a697ed, 0x675703bb,
+    0xb19b1567, 0xdf1515b8, 0x2954a454, 0x69106845, 0xeac1795e, 0x28e9a6fa, 0x2670b184, 0x7d7753e9,
+    0x188a1336, 0xb5ed8e86, 0x77aba78d, 0x08462fa1, 0x24557707, 0x031feff7, 0x6ef6a0ca, 0x8d543841,
+    0x00000000,
+    0xe68dc57e, 0x6a4d3c25, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000002305843009213693952 */
+  { 0x00000000,
+    0x18d828e6, 0xe9e51a94, 0x7e87be13, 0x8aa9da39, 0x02208c45, 0x387d3f26, 0xb84dc054, 0x8c9a4f81,
+    0xac105a13, 0x5a490fe4, 0xc182235b, 0x6e47cdc1, 0x594e8e21, 0x3f3275a2, 0xe4dc8fea, 0x4344eaea,
+    0xd0200239, 0x49b1d992, 0xecd116c8, 0xb7b41de5, 0x76fdad7e, 0x8d8d4a43, 0xc0f5f141, 0xcc35463b,
+    0xc4d9407b, 0x9ce6178e, 0xab3858fe, 0x7f3d0c0d, 0xbce84ab4, 0x658fe414, 0x4c2e424d, 0xe4aa0f1c,
+    0x8bfbcf15, 0xc1c928b3, 0xe1c06b7b, 0xb2adccee, 0x98e81bf9, 0x343a29eb, 0x0ebc2b61, 0x257d3d63,
+    0xf3ec1b9f, 0xbf6bdaf8, 0x90915759, 0x2867c4f6, 0x610a74d3, 0x9c760872, 0x16bbacca, 0x10ed679c,
+    0x219e7c89, 0xa6962ae2, 0x991472a1, 0xd8f16099, 0xfd0c8bac, 0x7b310721, 0x4e726bab, 0x48fb30d4,
+    0x9c722274, 0x9e6e5627, 0x20e5db80, 0xe3438575, 0x33ace545, 0xe776c1e1, 0x7cd60973, 0xf0ceb2cc,
+    0x483832b0, 0xfcb6d73d, 0x88feef54, 0x0690bdd1, 0xc548c176, 0x6bb6ed81, 0x64f0b682, 0x244ddf3c,
+    0xd316c001, 0x6e51c578, 0x83ffc3f9, 0xe10c3270, 0xe13f8ff5, 0x4f683fb8, 0xef6b48ca, 0x1748cd2e,
+    0x72104c10, 0xba1164a8, 0xf043d738, 0xc855c119, 0xa4a3c567, 0x142746a5, 0xa5450cf8, 0x588ad3f0,
+    0x8a5d7ec5, 0x2a1632d2, 0x204a5115, 0x8d4672f4, 0xc96dce23, 0x0a0016a0, 0x8609172d, 0xf707207d,
+    0xab732e3d, 0x96fe52f4, 0xdc28f6ca, 0xb3bc2baa, 0x23282ddf, 0x2436bec7, 0x41cafffd, 0x9edea512,
+    0x54deee07, 0x606f7975, 0xff628bac, 0x0f56ce7f, 0xaa351c14, 0xd9efa888, 0x77bebeb8, 0x12773c37,
+    0x4f86bc4c, 0x1826fa4a, 0x70322dc9, 0x795bea63, 0xa3ae391b, 0xfa1c2842, 0xee47bb27, 0x2e41c9b3,
+    0x7faa3310, 0x5ec6c5a7, 0x2698863d, 0xfe94698e, 0x2e9f54e4, 0x4dd78661, 0x5c6728b8, 0xaa417dc4,
+    0x4a4efb64, 0xf0ed11ce, 0x41dd9755, 0x3a35bd6b, 0xf3d6574c, 0x83510c02, 0xf8bf74dd, 0xea7628cf,
+    0xd23fc07c, 0xfe1f48f1, 0xc3932b90, 0xd5ca7882, 0x3febfc73, 0x05e54394, 0xb7081872, 0x3304a5b9,
+    0xdb222704, 0xc29e4ccc, 0xbeadb2e3, 0xcd04d351, 0x24bdd3c8, 0xe2a3238f, 0x84f4d2d0, 0x440db4b2,
+    0x7166012f, 0x061941ce, 0x17b298b4, 0xdf81dfa7, 0xe7a10ce0, 0xffa9e836, 0x9dc9d656, 0x9f055968,
+    0xce27fce2, 0x27c82b96, 0x40126169, 0xbdeb6378, 0x41899ff6, 0x0043dcb8, 0xe12842cf, 0x60c783f5,
+    0x8cdf5270, 0x6dfab0ee, 0x7ead8778, 0x146213a5, 0xe0bc0432, 0x4a5f26b8, 0x8c2d03a1, 0x42953330,
+    0x3cd7aa2a, 0xa3db005f, 0x182d8e8b, 0x6d7e7df2, 0x0cc0464d, 0xee22a26d, 0xcf3ac8ae, 0x2e2a7309,
+    0x95ba77af, 0x9a3e984e, 0xdcdb1045, 0x0ffa98c4, 0xca2dbcd1, 0x924af10c, 0x8c5aef2b, 0xb27b2677,
+    0x2aa40424, 0xe757dd26, 0xb8c59d27, 0xc3e39e93, 0x0c5360a6, 0xd064ac6a, 0x0d68767b, 0x9a2e99f7,
+    0x288b31ad, 0xac67f46f, 0xac400cc5, 0x222d61b5, 0xbeafdd13, 0x31fc34b1, 0x9c83b6cd, 0xaeabafca,
+    0xbe957dce, 0x6c269454, 0xf46e9a02, 0x897f2310, 0x1cd85c3e, 0x5515fc16, 0xe9303c55, 0x724b95cf,
+    0xb5b2a34c, 0x4d9e7f4d, 0xc1439e5e, 0x46fde9f7, 0x02f150df, 0x47e4671e, 0x545ed426, 0xfd6978b0,
+    0x26c68180, 0xe49a01bf, 0x852350ed, 0xa58ae9ea, 0xf45b2678, 0x57f48b60, 0xef744aaa, 0xd589158f,
+    0x216e90c8, 0x4daf9eb8, 0x75dd51bd, 0x2f8f9817, 0xd08be62c, 0x20972db3, 0x33e3a86c, 0x5e5f2325,
+    0xc0c8776a, 0x690ddeb1, 0x52c675e9, 0x8c56224d, 0xc1c2e277, 0xa876aba2, 0xea2868ff, 0xade9f26a,
+    0xc06ef091, 0x585dfaa3, 0xbb95437f, 0x0bac5e9b, 0x06f43d24, 0xd6670417, 0x329a2e53, 0xfdf0bb1b,
+    0x8ca80635, 0x3ec9d089, 0x60dd6cec, 0xdd4193c5, 0xa6a6dfe9, 0xaf6d34cd, 0x7833b360, 0xe25d1787,
+    0x280984c1, 0x55affad0, 0x49c50af4, 0x97932a76, 0x1ffba61c, 0xbcd906b4, 0x31a2f00d, 0x3a6c4a0a,
+    0x834694fc, 0x63b3e59c, 0xa9493f63, 0x25eb973b, 0x23d92756, 0xb59f05e9, 0x93adf705, 0x14ee1d20,
+    0xf054ce28, 0x70dfaa3e, 0x8d43335f, 0x14de114e, 0x4ba916e9, 0x96397559, 0xeafbcb41, 0xed027baf,
+    0xbb867993, 0x4f939a90, 0x94b30077, 0xdc0c90a4, 0xbd5184f1, 0xf2faf506, 0x4f772e33, 0x8093b0d7,
+    0x53baaf8d, 0xa6df71ca, 0xa1a53df5, 0x43d4051e, 0x4a6a5c9c, 0xb2ffd2c8, 0x695c58a6, 0x0ce27102,
+    0xe893060f, 0x3612f56f, 0x8885d91c, 0x00d5c575, 0x96632eb3, 0xa81594e1, 0xba6ed356, 0x651b8e3e,
+    0x471682d9, 0x2c177708, 0x21e856d6, 0x82949675, 0xd1fb2e93, 0x0b054661, 0xa5a929a6, 0x9eb07697,
+    0x042901f5, 0x351b2178, 0x51aad3db, 0xf5048084, 0x01552b93, 0xa78b1f5e, 0x557988bd, 0x703532b2,
+    0x20c09684, 0x179a38fe, 0x29eb0e05, 0x9ab7ad7b, 0x70477adb, 0x07d0e2e5, 0xc61e4749, 0xc604f49b,
+    0x88036521, 0xa88b412d, 0x26ba99d6, 0xd5170e2e, 0xce160940, 0xe0331d53, 0xf565cdc4, 0x28d5ff0c,
+    0xbd93289d, 0x89957c21, 0x7e286d1c, 0x9189b648, 0x16f6a3c6, 0xa4e003b1, 0xde0790d2, 0x96b71e72,
+    0x1ebedb33, 0x404e5677, 0x638b7c0f, 0xf135f06d, 0xe485bc01, 0x8f183f39, 0x268fa882, 0x86ae30d9,
+    0xd50869e9, 0x184bfa40, 0x28349ae2, 0x44ab1823, 0x9b7f8ba8, 0xd6239390, 0xe6720d15, 0xcacf9a54,
+    0xaa7c6d74, 0x8d07301d, 0x6fda230c, 0x52ba3321, 0x975d0445, 0x49b92030, 0xd7188714, 0x88e20364,
+    0x5836c161, 0xb8c054e8, 0x20a0be0a, 0x436b16c3, 0x612e77dd, 0x6fe8f26e, 0x78a693ba, 0x0f5c9d4d,
+    0x887f71a5, 0xa6758ee0, 0x8b8fd930, 0x8a945b4a, 0x664c8813, 0x45671c46, 0xf26044ff, 0x6ee0bc3f,
+    0xcbc22e0a, 0x7cc01cd6, 0x3ca848e1, 0xa4b8f794, 0xbee3f34e, 0xba2a3010, 0x53aa2f8e, 0x8e96d5c1,
+    0x1074c638, 0x2bbd4710, 0x6103d5f5, 0xdba29f1f, 0x0364dc48, 0x95970137, 0xf9db60ad, 0x2b9b9d76,
+    0x8b4de4e3, 0x7fba46cc, 0xb8bf7ac4, 0x3ff1c848, 0x9af48d0e, 0x8d0c2372, 0xc21a9924, 0x6a7885e8,
+    0xe53c5526, 0x1015d176, 0xef3b7c03, 0x66f26d05, 0x165515c1, 0xd43b9bd7, 0x4588dcda, 0xf9b47a09,
+    0x11d58280, 0x8e4e7113, 0xe1d619a3, 0xd5dc86bf, 0xa6cf0850, 0xfb559820, 0x97b86ae2, 0xefc6b412,
+    0x09424a31, 0xfcc76802, 0x15593606, 0x95606f98, 0xa80e5ea1, 0x823cecaf, 0xa498aa9d, 0x01edf4c0,
+    0xc6bb529f, 0x1416d57c, 0xfef1cdb3, 0x238fe1aa, 0x5bf1d270, 0x41606476, 0xa02880a8, 0xb107cf0e,
+    0x7604dc0c, 0xef283de0, 0xb90d6538, 0x2b2f4172, 0x076175a5, 0xdffc64e0, 0xd1be2842, 0x14ce1662,
+    0x07a0bc4d, 0x967cbf3e, 0x97bfc022, 0xd23929e7, 0xe063dedf, 0xe934343d, 0x84b35c65, 0x5347d733,
+    0xc5f313c4, 0x2b1bbaa4, 0x0af3468d, 0x0531164d, 0x4829c33e, 0xde784910, 0x21179fa1, 0x691af72c,
+    0xb6954b5f, 0xf3042ab4, 0xfc9d97f0, 0xd6f177e6, 0xc9ff3f6e, 0x0def2149, 0x1c948f97, 0x257851d7,
+    0x6e7e9f7b, 0xe18eae42, 0xf8fb0b41, 0x2bc3f362, 0xaf8d17a9, 0x065558e5, 0x60ace524, 0x34185a4e,
+    0xd10e3cc7, 0xf8f700d6, 0x6956f8bf, 0x8e8ec53c, 0xc918f576, 0x9a6875af, 0x4c96cf12, 0x7c594e1b,
+    0x393787ce, 0x53589bf4, 0xbd56d0ac, 0x1e18ded1, 0xc2e9f7c5, 0x6f233a0c, 0xde027965, 0x166970d7,
+    0x7360a319, 0x9e7a9ae2, 0xc40684dc, 0x79a3c876, 0x35f54544, 0x58ec91b6, 0xeafa7d63, 0xa3c6ffca,
+    0x47e7eff6, 0xe1efc4a7, 0x78916a43, 0xc0539bd0, 0xac35409a, 0xc6c01d33, 0x4f73ecef, 0xda78e550,
+    0x8dcbabb4, 0x3dbd3e88, 0xb50823e7, 0x0b8c139b, 0xea24605e, 0x29b6e84a, 0xf738e58f, 0xcd9ef9ba,
+    0xbbbb7d87, 0xe984833b, 0xe78b7e44, 0xa7c46f8f, 0xcf71a8e5, 0xd676fe95, 0x129565fb, 0xc0a013c8,
+    0xe9eb99af, 0xf9aafe06, 0xd1d95c95, 0xfba77525, 0x2ee9b222, 0x16e5afc3, 0x7e8d945f, 0x41a26816,
+    0xddb185de, 0xbef4d643, 0xb0cbf629, 0x5d37623d, 0xc4821e5c, 0xce5df58f, 0xf7ac6da7, 0x328f2143,
+    0xf26d1f4c, 0x49bb91dd, 0xf8062e81, 0xcc933e82, 0xdeb89575, 0x0b3b8f4b, 0xa0481fe9, 0xe4821a89,
+    0x5097cb03, 0x1d335fe4, 0xc47af40a, 0x5b5b3364, 0xdddd222c, 0x265c56d3, 0x5780e7c7, 0x4997c021,
+    0xab040b7e, 0xfcf98900, 0x2ce32bff, 0xa6014f9e, 0x34d8d8fe, 0xec49e655, 0x91a3bb53, 0x418f16f1,
+    0x6056e496, 0xce72b7da, 0xe0aa7afe, 0x6e058489, 0x23500b62, 0xe4b6b0c5, 0x620253ab, 0xd0be52f6,
+    0x183a22cc, 0xa85ffad1, 0xa673d786, 0xbaa4c390, 0x8de17d88, 0xca117468, 0x25721509, 0x53f22216,
+    0xb1eb9760, 0x188801c8, 0x10045acb, 0x125b478a, 0xfae193ea, 0x55bf1ed8, 0x9539825a, 0x55681047,
+    0xa1216417, 0xb8891bd9, 0x32bffb48, 0x8d09583a, 0x33d1832e, 0xab44375e, 0x5b44ba4d, 0x896d9ec2,
+    0xbc1b4643, 0x529cd963, 0x921f564a, 0x7fda749e, 0x72570922, 0xe484205e, 0xd1772d38, 0x1a66aeb5,
+    0xb7f3d86a, 0x76fbe431, 0xae0556fd, 0xc035f8d4, 0x1c9f4813, 0x885fd7ce, 0x2b2b78a5, 0x3fd004f0,
+    0x54eb8914, 0xe0f7a277, 0xb4af21c0, 0xc633b4c8, 0xd1df2a06, 0x173a7739, 0x64fbbd20, 0xbf56f7f8,
+    0x48dbb99a, 0x61139dcd, 0x371eb40b, 0xd1086273, 0x09aa02c6, 0x1884cf5a, 0x6053d0c0, 0x59cbbd5c,
+    0x70dd34b9, 0x0430a06d, 0xa53569b8, 0x067a99c1, 0xfbe53f55, 0x816736b4, 0xf6cc1d4f, 0xc07f17b3,
+    0x7a45322f, 0x697c6b38, 0xda8e2935, 0xcb2698c2, 0xd091ac37, 0xbd2e160d, 0x1a624c22, 0x6ad2a9e7,
+    0xe8d92308, 0x6d435fd8, 0x5373ae0c, 0x4108091f, 0x358f7b82, 0xfc0a8ebc, 0x54a1cf38, 0xeacaf4e5,
+    0x57c01a69, 0x545ce4a6, 0xcf2b9b6b, 0x9ac0760c, 0xff98fd05, 0xdf3a0533, 0x19254e41, 0xcbeb7391,
+    0x5e107119, 0x6902581e, 0x1752c629, 0xa1227474, 0xbdf88976, 0x5e530558, 0x44f15153, 0xa5235a6f,
+    0x5cbe0583, 0x6397cf39, 0xab66dfe2, 0x675648ca, 0xa2ee9316, 0x35d68c75, 0x8295dc9c, 0x9257c85f,
+    0xd69cf2ff, 0xfaa502bd, 0xaf1007a3, 0x02082731, 0xbbc6c177, 0x6604d36b, 0x9ea41a5b, 0x99662ae5,
+    0x3f34c4fb, 0xada52004, 0x19575efd, 0xd0d683ad, 0x8c9971dc, 0x09895d66, 0x561f4574, 0x496f5239,
+    0x8ccf7594, 0x02318e73, 0x92f688f3, 0xd11a88f8, 0xc1c7bf6b, 0xbfd17c86, 0x91955437, 0x1fe2ea64,
+    0x09be2e87, 0x5cfb57f5, 0x8afa8780, 0xf58849bc, 0x7c9ccccb, 0xd5f01296, 0xc6fd9434, 0x76bbad31,
+    0x3650463f, 0x72de889f, 0xfa23d808, 0x45bfde26, 0x8103bfa3, 0x25846b5b, 0x95d5558c, 0x0c97b944,
+    0x54b8fcb9, 0xde6db65f, 0xbbb1ca97, 0x7b217347, 0x6ab1f86f, 0xbeb23c4b, 0x72c19734, 0x85db2b78,
+    0x78eecf0d, 0xe9f116a6, 0x8a2d7c1c, 0xe4c5cc10, 0x96b26b99, 0xc4d6efbe, 0xf4763789, 0xa87177bb,
+    0xf940e86b, 0xdd7a2c4e, 0x560841a8, 0x055ab2a4, 0x40f24e90, 0xa2427923, 0x331bad8e, 0x7ea6264c,
+    0xc4a0851c, 0x36f38154, 0xeae320f4, 0xe2fafdf9, 0x7457ad2c, 0xfafe0111, 0xd784dd35, 0xd776de52,
+    0xa98e8da9, 0xa54db77e, 0x6f2a6b84, 0x7f06dcc2, 0x28e05a85, 0x192654bd, 0x815714aa, 0xc9a51595,
+    0xfde6424b, 0x843e23f5, 0x70223ab8, 0x9bb5636c, 0x2d8200a2, 0x29545962, 0x92d20fa9, 0x07199977,
+    0x18245ce9, 0x6b40b271, 0xa0af8607, 0xc8cee81b, 0xfe8c3887, 0xb64ed7e5, 0x138955f1, 0x2b597d4e,
+    0xf82f3400, 0x63e3f666, 0xac4dbf05, 0x6195457b, 0xc0cfe271, 0x164051d6, 0x4655387e, 0x9fd30cdb,
+    0x1e0b0369, 0x39bc01a7, 0xac19315a, 0x6fb0ee32, 0xed55a2fc, 0x37dd69f2, 0x494b4fd5, 0xf36f02a0,
+    0x0aaafff2, 0xf15b5b50, 0x07f6992d, 0x720248c8, 0x01ee84a1, 0xd89efb19, 0x14d244f4, 0x8c496d87,
+    0x1a246a89, 0xea307885, 0x7f8aef24, 0x73692c73, 0x77cb50d4, 0x02a58de6, 0x28eed7b3, 0x7144880c,
+    0x22a1bbfb, 0xc06d0162, 0x9f132f35, 0x54bef1bc, 0x58462180, 0xbab755e2, 0xca2450b0, 0x75b3a06b,
+    0x2da9c467, 0x511ce2db, 0x1ae6abad, 0x2026ab92, 0x507895bc, 0xa49ca857, 0xe624afc8, 0xab126871,
+    0x315ddec0, 0x69b76b71, 0xdc66a05c, 0xe24208fd, 0x3278f3fb, 0x5af5637e, 0xfb28532b, 0x5ce949dc,
+    0x48dfe71b, 0x840a9604, 0x6a601706, 0x50d667cd, 0xd342f68c, 0xaa2d848f, 0x9720ec86, 0xd389f7df,
+    0x68fde629, 0x667e0c15, 0xf463e3fe, 0xb2ae6220, 0x740940fc, 0x16415115, 0x7d150b8c, 0x5436cf7b,
+    0x695ae662, 0xf0c12cd3, 0x162484a1, 0x163181bd, 0x8b614ec1, 0x244c19a4, 0x31022cb4, 0x7a1aface,
+    0xfbd0cd2b, 0x19be0996, 0x7661056c, 0x73739d88, 0x83be4156, 0xd447b422, 0x3e38c681, 0x7d780fdd,
+    0x439bf31f, 0x635460ae, 0x4e89616a, 0x8cabd42d, 0x19c59fc0, 0xbd96b08b, 0x8d561c57, 0x73388dfb,
+    0x4f8a3a21, 0x89b9adc7, 0x20d060ae, 0xb7336a12, 0x0c2ae04a, 0x5341c6cc, 0x65c682cf, 0x398a741f,
+    0x91de9b4a, 0xa1062bf5, 0x8637bdff, 0xe1322956, 0xf6a3cb2c, 0x44558245, 0x266afee6, 0x898d616d,
+    0xbfa24c72, 0x38eb3b0a, 0x0b6d0344, 0x2dbee7f0, 0x2807c1b3, 0x3e4ec786, 0x316f621f, 0xdbe59873,
+    0xdb048756, 0xc9182911, 0x3f57cd8c, 0x787d1b28, 0xcb837aec, 0x40c7b0dd, 0xf4893b87, 0xfb4715fa,
+    0xd8874479, 0xe278c8dc, 0x8021575b, 0xde962db2, 0x7ec02334, 0x0a14e2ba, 0xc50e61ed, 0xc85ef127,
+    0x04040b8e, 0x9444bff4, 0xe6bf898c, 0xfb512152, 0x4a574a2f, 0x4d0f0938, 0xbb70971f, 0xcd293b10,
+    0x76cb2f79, 0x5984c134, 0x1a0f82c0, 0x4d03982e, 0x523971b4, 0xf0e30115, 0x76ee77a5, 0xecffac1a,
+    0x96b29b1d, 0x97a46d76, 0xaa98e909, 0xb432765e, 0xb66da2d6, 0x3aa88a70, 0xc7525b9c, 0x4c09d58d,
+    0xf0d4ed32, 0xa71cae49, 0x0114feeb, 0x482d70eb, 0xd8f6d084, 0x57c9fddd, 0x046df292, 0xd29a37cc,
+    0x85ee0603, 0x8b73205c, 0xcb8101d3, 0x029db299, 0x1b6f428e, 0x8daf8a4a, 0xe922d170, 0x7cb5bbc2,
+    0x37acf8e4, 0xcd43a5de, 0x5226c5c2, 0x9377273c, 0x78b27531, 0x343eba28, 0x487f1c93, 0xcd2f84f6,
+    0xd71eedac, 0xadc755ae, 0xdf6a78b2, 0xfd32698a, 0x07a5b3e1, 0x44cc44a4, 0x0a36a41d, 0x3a7e1167,
+    0xe1010aab, 0x253f9c40, 0xc2d0f5e5, 0x1c990247, 0xe8b4c7b8, 0xbcb138b0, 0xba0f93a8, 0x1d63ecb8,
+    0xaf4f7881, 0xc35b9a28, 0x78bb75ec, 0xd9871b54, 0x01a49766, 0x66443ef8, 0xd0ac6522, 0x8c5feeb5,
+    0x214c2382, 0xb76e1a82, 0x9fd265b8, 0x10aeea30, 0x255c598d, 0xf6766c91, 0x84d530c5, 0x93f3bb1d,
+    0x969772a2, 0x1946c773, 0xe9e5bdd0, 0xc20dd5e0, 0x5b5db7e1, 0x2ae575aa, 0x19294b2c, 0xbe360346,
+    0x00000000,
+    0xf346e2be, 0x35269e12, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000001152921504606846976 */
+  { 0x00000000,
+    0x93de8f8d, 0x5edf80f2, 0xdf64206b, 0xad90fcb2, 0x75391cd0, 0x65a1330b, 0x6e1dbfa5, 0x457fe532,
+    0x6d79cbbc, 0x0ea61ada, 0x54516534, 0xd0b0412c, 0x30b7c08c, 0x608ffcc3, 0xe25707d7, 0xbe51254e,
+    0xbeb9ec58, 0x2abaf0b1, 0xaf3e7c9d, 0x6c37ed7e, 0x8276bf36, 0xf607fd8c, 0xa2af6b1a, 0xc6cf427d,
+    0x1c8c6db0, 0x5fd45af7, 0xa1bf7397, 0xc1105c8d, 0x70b75aa1, 0x4cadbf23, 0x16b8de37, 0xe4f0fc1b,
+    0x13511ca7, 0xcd7938e1, 0x6113e88e, 0x12090052, 0x4f152c9e, 0xbfa93e3c, 0x386a822b, 0xdc4888ec,
+    0xed3dde89, 0x2b467c6f, 0x445d2d94, 0x921709e2, 0x58ecc78d, 0x7e83e2a0, 0x14481e20, 0x808cc12c,
+    0x0e9a45c9, 0xa946e8e5, 0x88e62505, 0x5ba24c2b, 0xefa08ae7, 0xcdc2ba96, 0x04693552, 0x0c25806c,
+    0x494fa6a0, 0x3d3d8e98, 0x98c3db18, 0x06669423, 0x17a2fab7, 0x1aeb64bd, 0x9a44511a, 0xffe9b280,
+    0x2c1596a7, 0x941a73bf, 0xa547345e, 0x0f9fc360, 0xcf4debe0, 0x9283eb20, 0xe13b24d5, 0xda20a9dd,
+    0x3c6e01d9, 0x5df5b5b3, 0x693a47ff, 0x3e677148, 0xab4b568d, 0xad2674bc, 0x170c884c, 0xede67a83,
+    0x589efb92, 0xf98161c7, 0x0395b3ef, 0xbccff767, 0x803c7f52, 0x0df759fa, 0x23555933, 0x1f4c9cef,
+    0xf1fde6d9, 0xc9f27700, 0x226878d1, 0x3dfe35cc, 0x5b4c64ea, 0xff0c31ce, 0x96fed0fc, 0xae0a0e38,
+    0x9d66836f, 0xaf42fcb8, 0x60e9e5eb, 0x7aaedd42, 0xc01997ad, 0x2db762af, 0x67df9347, 0xfd591f8b,
+    0xa8f17e2c, 0x8c698600, 0x4e7c5242, 0xd56097b8, 0x50d131b1, 0x1e95a183, 0x436d7512, 0xe39881a6,
+    0x60100fd5, 0x6049251f, 0x01f0dd3c, 0x5de13fd4, 0x5ca6cec3, 0xa2c048cc, 0x9fe9b5a9, 0x030b8b62,
+    0x9261e4f2, 0xb8f17e79, 0xe86c3e77, 0x7226e51f, 0x803f5ada, 0x0dde0d2c, 0xa8a25c7b, 0xaa480294,
+    0xdc723ffb, 0x551fda53, 0xe7913a5a, 0x22e7a0b3, 0x664d4ea2, 0xcced46c0, 0xf0e57263, 0x54dd5f77,
+    0xb8928c25, 0x92755193, 0x834ce6d8, 0x7a204b3e, 0xd69bbed4, 0xc83efcb7, 0xb1361344, 0xb03e640a,
+    0x5b798ae9, 0x6bd32fe6, 0xf299dc4b, 0xb6ca7897, 0xa7377e51, 0xd3768d2a, 0x3b5cf04d, 0xe4ac8575,
+    0x0eaf3f07, 0x831647c9, 0xf53d30d8, 0x81a4820a, 0xdeeca7e5, 0x9cd8f361, 0xfa8ea5ef, 0xb5b704f0,
+    0x5857b242, 0x099058be, 0xd0a327a6, 0x2f1a34ce, 0x16555861, 0xf3e0fc4c, 0x7c34d262, 0x24a20afc,
+    0xb372192a, 0xb045e25d, 0x5961dfca, 0xd819d890, 0x2660b544, 0x03cdda39, 0xa39327ee, 0x50dead95,
+    0xd8c64e53, 0xf854cba4, 0xd561ebf9, 0x07da7d27, 0x7736765f, 0x607c2c7a, 0xc35fd052, 0x308ce726,
+    0x31879f36, 0xa83b77e0, 0x490c0dee, 0x994ba85d, 0x9c3d4778, 0x813b6348, 0x22c6701a, 0x578d54f0,
+    0x1de64b9d, 0x78cf2217, 0xb8b484b9, 0x02d4ed50, 0x33a05a7d, 0xdefd794b, 0xf08c1faf, 0x7203f4f7,
+    0xe48834a6, 0xd12af163, 0x3dab1781, 0xf2d4b817, 0xc464fd1d, 0xc1232598, 0xc80c9f21, 0x305c6ae7,
+    0x24eed0c6, 0x086a09b4, 0xb45015e8, 0x490ab649, 0x2d64ecbd, 0x21069d55, 0x8e34d3a2, 0xe827e036,
+    0xe68a40c4, 0x9000bc87, 0xbc81b46c, 0x6bbfa009, 0x56ab41f3, 0x9b539ee7, 0x8971b98d, 0x8434229c,
+    0xe889b994, 0x25a498ff, 0x79246e80, 0xe8339bad, 0x5c91f00e, 0x186dec96, 0xf41d0c01, 0x2dbb05bc,
+    0x23d25bb9, 0xf5fc1ecd, 0x1310a794, 0xfeba7403, 0x37242a38, 0xd8dcb486, 0x0e0fb51c, 0x422971de,
+    0xdf52424c, 0xa01ff314, 0xa3d5e532, 0x8539caa0, 0x2a620a68, 0x3c51827d, 0xc4ea208c, 0xc703abff,
+    0x9a6bca2f, 0xcb8c106e, 0x8eee0181, 0xbf255b43, 0x9586afe6, 0x32893133, 0x3f2c61ed, 0xc29e3f4a,
+    0x2c0b5942, 0x46e72d01, 0x0681e4db, 0x8c2aa9d9, 0x21a5ce5e, 0x54244538, 0x8fcccca8, 0xb5870933,
+    0x1efb0907, 0x6844f650, 0xbea37588, 0xa3b6b1c5, 0xf029275d, 0xdf4d8738, 0x44f08de4, 0x6f5dd727,
+    0x92c65f11, 0xdb20911a, 0xbaa4e0f2, 0x3f2235ca, 0x600cd356, 0x536c1489, 0x6141a98e, 0xd795bb48,
+    0x45df7d9b, 0xc87fedbd, 0xa8b34f36, 0x73736523, 0xaf66481e, 0x8c5f134c, 0xe2caf6c4, 0xcc7a938c,
+    0x27f322a9, 0x3e9f237b, 0x6ac250d2, 0xef4c9505, 0x2a0b5aaf, 0x88216777, 0xcf2aa152, 0x50f62171,
+    0x4fd65ab8, 0x8614fc86, 0xabf73693, 0xedf3e792, 0x0a31f7d7, 0xdd77fec9, 0x2df292dd, 0xb1098263,
+    0x4d4a0509, 0x02f7b4a8, 0xba5ae187, 0x45409c1b, 0xe91f7c89, 0x3d7e920c, 0x52068b29, 0xee8faf00,
+    0x2768c586, 0xcd02ba9c, 0xd59b8819, 0x38c0725a, 0x76fa0c7f, 0x569c3643, 0x11d2792f, 0xa4e602fa,
+    0x21a0b3db, 0x32bb0453, 0xd1e1b23d, 0x65ea1f06, 0xd731e378, 0x0ce4f302, 0x0cf57ffd, 0x9ede7f74,
+    0x72bbf3ec, 0x7628e9c5, 0x43ae5f21, 0x785f8a4e, 0x55df31b8, 0x4cce0a8a, 0x19c2d757, 0x5ce565dd,
+    0x8020efc1, 0x339e2976, 0x9a042394, 0x5326f906, 0x9e36264d, 0x561dba50, 0xf683a62f, 0xe1976804,
+    0xc694430b, 0xf5f0479b, 0xbf619019, 0xcdb10ef1, 0x159d41a4, 0x05bf738e, 0xd3ee9143, 0xd3b7ce20,
+    0xd06b9ab0, 0x41e57021, 0x2adaabd8, 0x75f55182, 0x3ac467ad, 0x07d41bdb, 0x96683b77, 0x0cf94a90,
+    0x0737ffc3, 0x8fac84ba, 0xcce57fed, 0xbc0dd8e4, 0xfd5840b0, 0xd3a158ec, 0x8bc21db8, 0xe84aca9b,
+    0x82059091, 0x37a5b424, 0xbb6c66fb, 0x6ebff631, 0x2379d899, 0x4f9b0855, 0xc22f7f52, 0x685b858f,
+    0x715998b9, 0xecdc4794, 0xda77f247, 0x834e62b0, 0x04da5a52, 0xb0c3e5b0, 0xf1559c0c, 0xdf0c5338,
+    0x7afef67e, 0xe0a4edb1, 0x2cb2979b, 0x18914efa, 0x8f64b54b, 0x872a7f8e, 0x14066426, 0x50db11f5,
+    0x47475afe, 0x331e6054, 0xcb66a2a8, 0xe467633f, 0x8d5bd864, 0x9bc3018e, 0x491bd8c3, 0x9d0f6ec6,
+    0x4852b947, 0x786959cd, 0x3629575a, 0xb7fc9056, 0xbd08402b, 0x1d89cc3a, 0xb3fddf54, 0x3b2cf91e,
+    0xd1099bd2, 0x0d2e73aa, 0x0b6bbaf6, 0x22bee7ab, 0x20fe5232, 0x00a3c263, 0x2323ab95, 0x7c0ddd28,
+    0x2035e075, 0xb3aa0233, 0xe7f8f23f, 0xe9752797, 0x98db2722, 0x67a98c65, 0xcc46af2a, 0x4b9bac27,
+    0x89cca133, 0xb495a59b, 0x40d1c231, 0x16ec7b70, 0x997be88c, 0x2c9c35fd, 0x27db94b4, 0xeaddf431,
+    0x508960da, 0xd4ca3c5b, 0x247c8757, 0xbdcb179e, 0xd57a8bc4, 0x64e06cab, 0xd47d839e, 0xaf60602b,
+    0x84e846c2, 0x9fb58228, 0xbbda8190, 0x83948e6a, 0x4ecfa047, 0xc1ea563d, 0x2ce54a2d, 0xd5a91c2c,
+    0xff5569fe, 0x5b21f13c, 0x73e7168c, 0x03e504c3, 0xfd941413, 0xeeff918c, 0xe7c208ab, 0x55303f86,
+    0x7ea41786, 0xbdc9cb79, 0x3f4955db, 0xe264658c, 0xf9bb9321, 0xb1d51121, 0x33ce5f8e, 0x4aabf128,
+    0x9864579c, 0xadadb53e, 0xb605ff51, 0x79a031bf, 0x954cc1c0, 0xc0c19db9, 0x70f6576d, 0xb6086196,
+    0xc36380f6, 0x6cde345e, 0x2662161f, 0x1dc2a246, 0x06cda1a2, 0x93545167, 0x5cb7ce0d, 0x3e4b9571,
+    0x14c7385c, 0x37172e41, 0x3c646d67, 0xa83b6e89, 0xebec3b13, 0xf9b1df7f, 0xab5ab9be, 0xf6e90eb7,
+    0xb0c7d17b, 0x4656d7a0, 0xc9c7e786, 0x444db67b, 0xfa1ea066, 0x8fb92091, 0xcdecd241, 0x7fd2e2d7,
+    0x150212b7, 0x83b9a496, 0x19b025d1, 0x580ce8dd, 0x654fee66, 0x644a11a8, 0xa4b32b3e, 0xddc0454b,
+    0xb9dd44eb, 0x4ff7b8ca, 0x43d32cb5, 0xff4dd1ea, 0x12ea8a0c, 0x851d1907, 0x56838c0e, 0xc32eaa20,
+    0x4a301efb, 0xc468dc9d, 0xfb78ed81, 0x489016f0, 0xa477ab25, 0x82bd4b4d, 0x59a40b88, 0xc2a46926,
+    0x1debdb4a, 0x12a662bb, 0x3104f934, 0x2c71b5de, 0x5769a1a1, 0x2413e1cc, 0x3bf2a8d6, 0x402cc6d2,
+    0x4b63694c, 0x551cefea, 0xd3af5793, 0x12c1c255, 0x466269a8, 0x03bfd454, 0x62a1e307, 0xa43f1092,
+    0xbab5398e, 0x1727b278, 0x6b347de6, 0x993f880e, 0xf8d7f1c6, 0xb66406c9, 0xf55c8432, 0x326097f1,
+    0xe802a7c4, 0xb818df48, 0x377bf952, 0xd52a64d2, 0xe8d95d07, 0x5b42451d, 0x7026be3f, 0xe05800ca,
+    0x246389a1, 0xa75483fe, 0x09edfcc9, 0x835cdefc, 0x8dcdd2be, 0xc4772cd3, 0x24735097, 0xeacc0e32,
+    0x005506cf, 0x449c144c, 0xddfd9842, 0x51aac9ba, 0x86172cf5, 0x9d9914a9, 0xb19a1e51, 0x1404d2db,
+    0x53df594c, 0x1f8305bb, 0x1ac0394f, 0xf487cadd, 0x5aac9550, 0xfedb2361, 0x30893ba1, 0x3f46506f,
+    0x89b6a5b4, 0x182304a5, 0x11b89650, 0x88b9e987, 0x46ab61d4, 0xf4830ee6, 0xb6ef57c9, 0x55819191,
+    0x5aebe144, 0x98ed719c, 0x450ec8fa, 0xfe8db2d7, 0xb8d8e2a9, 0x52914d6f, 0x9927c438, 0x4a1edd2f,
+    0x87016d86, 0x1addbd3a, 0x8ad6c138, 0x0601ed4f, 0x0ab973f6, 0x030af50d, 0x3cadb8fb, 0x6dbb340a,
+    0xa7901c0e, 0xde7692cb, 0x548c7146, 0x0c035864, 0xcfbe90b7, 0x1f58e6ca, 0x94392236, 0x72f43e3c,
+    0xafa1d51f, 0xa648c725, 0x15f6a7ea, 0x4d4a5e1b, 0xca6381ec, 0x0d5836fa, 0x46495479, 0xa24750a1,
+    0xa957476a, 0x56d830b1, 0x7f32b6ab, 0xd65fb094, 0xda50aac9, 0xba09b9ae, 0x875b460b, 0x8569af06,
+    0xb900d480, 0xc6714898, 0xc277bec1, 0xfebe06af, 0x0fdb74c9, 0x1f8fb898, 0xd39a8238, 0x05095e3f,
+    0xb7d7332d, 0x101c8f66, 0x715fd601, 0x4bd7a5d5, 0x7bc38545, 0x0167b72f, 0x008f7355, 0x3426f6c2,
+    0xfb8ea647, 0xad1acdbb, 0x1ec8236c, 0xa3163695, 0x4f9b881f, 0x4c792b15, 0xbfe57588, 0x0797e1bd,
+    0x9ae2e450, 0xf75b125f, 0xc6865aac, 0xfe07872c, 0x94849fd7, 0xaa5e3784, 0x2c986b97, 0xd3d073c5,
+    0x9213a190, 0x5fd3d34f, 0x73fe8317, 0x1f8cb724, 0x91c0e863, 0x4841f0a5, 0x0721232e, 0xc63d48c8,
+    0x879f878c, 0x2226cc88, 0xed4b3277, 0x359cca22, 0x5ebc7a72, 0xc020d907, 0x4098c610, 0xf8905058,
+    0xf27a871c, 0x82d54d5d, 0xff40fbc5, 0x23fefc70, 0xe15f9063, 0x31b6c515, 0xe3e8b487, 0xda7b76ce,
+    0x861e831e, 0x70073aac, 0xbd10f311, 0x411ba8d5, 0x1aa5cc9d, 0xed3fa167, 0x018d348b, 0xbf785eb7,
+    0x8e455cf4, 0x4ae74fee, 0xe989c289, 0xb3f3c158, 0x43da90b0, 0x33d67b78, 0xc8548739, 0x66d4e44f,
+    0xef2b21bb, 0x8459f4db, 0x429838f2, 0x5ba64250, 0x5bab5764, 0xa53a6fad, 0x1c902b1e, 0x65f439f5,
+    0xd538e878, 0x2dc534ad, 0x7605c6be, 0x7624171a, 0x5988e7f4, 0x366ab297, 0xd1c2ede5, 0x56a366b7,
+    0xa1180b98, 0x427b2bcf, 0xb2252db6, 0x21593bf7, 0x8e7d1a70, 0xd1029d39, 0x0625f780, 0xc3011c7a,
+    0x5f959033, 0xa93a2e5d, 0x1af3848a, 0x0dff74d8, 0x7b06530d, 0xc0861e7b, 0xa2109503, 0x1a0765ad,
+    0x490bbc0e, 0xcfd882f7, 0x5c75185e, 0xffe80f36, 0xfe412955, 0x788414dd, 0xc025e8f6, 0xe02d5a55,
+    0x5e232a8d, 0x8f524347, 0xd821b68a, 0x88763e24, 0x29d84d88, 0x1f92c3c6, 0xd9f2c46f, 0x5d729f83,
+    0x10c35ee7, 0x1317f0be, 0x3e272543, 0xdcff4254, 0xf15e5b40, 0xab490721, 0xe973c20b, 0xb2efa6f2,
+    0x2474f08c, 0x51972443, 0x98e438d6, 0xf6fb9765, 0xfe8152a9, 0xacca85e5, 0x85ed849f, 0xa50624e6,
+    0x2559474b, 0x87217d3b, 0x4c6a642d, 0x9dfd624d, 0x3cfa3447, 0x78b2042a, 0xc010ae43, 0xaab5ba80,
+    0x71c082dc, 0x2cf8601c, 0xc235dfaf, 0x2d9e2319, 0xaa655552, 0x19c506dd, 0x6026f34c, 0x31b589a4,
+    0x33436637, 0x3ccddee9, 0x7805bc1d, 0xd6819b0e, 0x730e43ed, 0xa42d3f2d, 0xf6c52a17, 0x86c68228,
+    0x8ea378ff, 0xd45f3931, 0x32856faa, 0x829d4397, 0xa5efa947, 0x4ab78e7f, 0x2a0b9d40, 0x62cbd989,
+    0xefa01e93, 0x2bff1e28, 0x21275a5e, 0x16386415, 0x948a8139, 0x24abeea8, 0x3a3211e0, 0x8bb30eb0,
+    0xc67cfa16, 0x56f92299, 0x2fbb5cdc, 0x00dbcc1e, 0x66cdad71, 0x1b1a0279, 0x217348a8, 0xb365ef66,
+    0x95322b13, 0x044cdbcd, 0xf31fc881, 0xc2dc5769, 0xd1a537c0, 0x2cd0de42, 0x44a8e9a8, 0x4a89bf1e,
+    0x68c766c8, 0x9d39e49f, 0x052fb709, 0xd997a4f2, 0x115082ac, 0x679fb1f3, 0xe3e0a509, 0xd9526f8f,
+    0x0528a708, 0xa26ad493, 0x96634e0f, 0xbdeb5157, 0x6fd87680, 0xc42dc23c, 0x9a1d2fb3, 0x5c87c277,
+    0x975ea2bf, 0x93439cd4, 0x4df2fa4a, 0x5f39d50b, 0x7572c2a8, 0x00c37abd, 0x5862a25f, 0xb0776462,
+    0x2123c7c0, 0x06027711, 0x58712c3c, 0xddc73947, 0x047b88f7, 0x9aeb60af, 0xd83e95c5, 0x38cfe161,
+    0x227d53ec, 0xa1a9437c, 0xa779c889, 0xc790f215, 0xbf661295, 0x96b7ece3, 0x834f74e8, 0xf6fdba1d,
+    0xd93d44a1, 0x307b118f, 0x5a95e48b, 0xb0412763, 0xaa701559, 0x23af9f58, 0x1000b521, 0xad1b34e1,
+    0xf67cb562, 0x42dde882, 0xeaf8df66, 0x120a5ad9, 0xb59e70e6, 0xb3b1acfc, 0x720c863a, 0xa6179063,
+    0x3aaa50c0, 0x0a6cdf6c, 0x93aff21f, 0x50cd3a2d, 0xe6cd2277, 0x169da0c6, 0x0ead47a6, 0x272aeb35,
+    0x5949fd33, 0x14d55404, 0xbf8ca05b, 0xd483e692, 0x213aa0d6, 0x8f303d4b, 0xf5faa679, 0xc4a76991,
+    0x1c8f7df8, 0xba419378, 0xa0f726ea, 0x605df57c, 0x956e5249, 0x9b4bc212, 0x3648a362, 0xe042b089,
+    0xd969b372, 0x041ec5fd, 0x332840fb, 0x04e93645, 0xc393d46c, 0x6465f7e3, 0x01a65eed, 0x3604beac,
+    0x57e56d4b, 0xd4838d40, 0xd9f1a011, 0x1a3f5b52, 0x4fe0627f, 0xf005b564, 0x71706e3c, 0x0e448015,
+    0x1eb613f8, 0xea1cc0e7, 0x2e9d03c2, 0x3c6f7faa, 0x671fc734, 0xebee98ca, 0x287ce74c, 0xa09f702e,
+    0x80f0a4a7, 0x40aee8d9, 0x3f57347f, 0x8dd8acee, 0xafaba2c5, 0xbabcbca1, 0x9792c84c, 0x922354b7,
+    0x5c94a30b, 0x3d97e060, 0x3a0be822, 0xbd4ca346, 0x07bbef7c, 0x6fbbe209, 0xd9b51c86, 0x8aa860f5,
+    0x029b2073, 0xb1a2d585, 0x4512d8ca, 0x7a6dd286, 0x04498aba, 0x727b3f05, 0x2deef388, 0xcdf9c6f4,
+    0xad92bbe3, 0x299bec5e, 0xd852885c, 0x831677ae, 0x4a1db996, 0xf77d9e9c, 0x954d0ca2, 0x6decce65,
+    0x87a29e03, 0x003cc067, 0xa991fbc6, 0x37fae878, 0x9d7605f9, 0xe45633de, 0xd195d302, 0x7c83e9c4,
+    0xbc690740, 0xdbf5ad42, 0x7692bf6c, 0x67706ef8, 0xad17ed7b, 0xb8c2c2cc, 0x370479d9, 0x0bd56e79,
+    0x27b4d2d0, 0x7058caa4, 0x8d0e0888, 0x573f0f63, 0x5f5bf219, 0xc6b02b48, 0xcd5cfda4, 0xc3855e93,
+    0x2817421c, 0x1ef0a211, 0x905f9391, 0x963a011b, 0xb98e905a, 0x8fbc7f69, 0x7e8c6fe6, 0xbb67ae79,
+    0xab175af8, 0xa4ab80b8, 0x30938f32, 0xae85f884, 0x9addea3d, 0x86173ffc, 0x7c243c1f, 0x22327a84,
+    0x57353680, 0x9299a609, 0x057d8531, 0x21c3791f, 0x3e4d40db, 0x898fe8c7, 0xfa5249f1, 0x45eb4033,
+    0xd7478e72, 0x249ee0c9, 0x5ca9f022, 0x6a3d999d, 0x8ded50da, 0xab8f81c4, 0x8bb4e74c, 0xdcaacd90,
+    0x00000000,
+    0x79a3715e, 0x1a934f09, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000576460752303423488 */
+  { 0x00000000,
+    0xf1295900, 0x91d1eef5, 0x48dc9d74, 0x6fe5ec21, 0xbd7d8b55, 0x941bb6f1, 0x89560de8, 0xd4730a19,
+    0xddf7b7a9, 0x5b86dca6, 0xe91fa20d, 0x8e0d2b3f, 0xce773ead, 0x437982b6, 0xf2aa5964, 0x02a5a0b3,
+    0xdc84fcd6, 0xb24a721c, 0xfaf6339e, 0xe793fac7, 0x8e161ffe, 0x02392e0d, 0x37268a6f, 0x5ac9250a,
+    0x4edc07cb, 0x5b93ea07, 0xb5e8c8a6, 0x28e36b9e, 0xb6a381c2, 0xdd385199, 0x6be5ec9a, 0x1cc69104,
+    0x0abf7d48, 0xa239f89f, 0x2428fd72, 0xcb1412f4, 0x38e03750, 0x6dd5c438, 0xe13bf5b7, 0x50b313b0,
+    0x161217cf, 0xa3633d56, 0xc3704902, 0xd34d9943, 0xbd0d99bd, 0x88172010, 0x46b3f5d4, 0x720356e5,
+    0x8b4bb10e, 0x1342dbac, 0x40ff458c, 0x41dc4c14, 0xf813ef71, 0x40b7d2d0, 0x73111c83, 0x88dec0a9,
+    0xd4ab34dc, 0x7697ecd2, 0xc2025f38, 0x404b70c1, 0xb1c996c5, 0x950a1b9e, 0xa030a83a, 0xdc79b323,
+    0xfc7653bb, 0x1a14b016, 0xb1cf50eb, 0x04105b37, 0xe592caa9, 0x126cb349, 0xb8e810c0, 0xdc36b696,
+    0xadfe3a9c, 0x69789a0c, 0x1c16d8c1, 0x654c5c0b, 0x4f9a3861, 0xd19ea18e, 0xba342e9f, 0x45462d7c,
+    0xaa61a05d, 0xa13b4129, 0x7929c829, 0x8f616f64, 0xba218a76, 0x148b4e64, 0x088dd9fa, 0x3da3cd8b,
+    0xacf3a75b, 0xea436d20, 0x3a6c2b16, 0x92a1eb82, 0x1bb16b3d, 0xa276f514, 0x81f6246c, 0x88a1c81e,
+    0x5a3f2ada, 0xfb611b29, 0x0065807d, 0xa72334d5, 0x5ce758d5, 0xfae3db12, 0x104d6384, 0xeda7c17d,
+    0x398206d0, 0xff3344c9, 0xf58c37a4, 0x6c587127, 0xaa152257, 0x3859afb9, 0xd6c45e4d, 0x69be17a7,
+    0xf2349e00, 0x22f86742, 0xc6d2d8a9, 0x9d17e556, 0x95230b2f, 0x0571e073, 0x910cd70b, 0x7b97f602,
+    0x9a95cdee, 0x3ff2b282, 0xb041c7aa, 0xfb2d9a96, 0xaa26d7d7, 0xa290d63b, 0x78cc0e74, 0x42b4b87a,
+    0xf61e6dbe, 0x8abfd558, 0x1b658a70, 0xeebfa89e, 0x44d2f4a9, 0x0262cde5, 0xede3d0f7, 0x1c9bb8fe,
+    0xbb6c9529, 0xf7f21d14, 0x8cdb26c9, 0xb8537480, 0x87a36cde, 0xb17f02c0, 0x4db717d1, 0x2a0899c5,
+    0x84a5a680, 0x65e5e704, 0x6bc08f18, 0x761edadc, 0x7d778f95, 0x449be85e, 0xc3f222fa, 0xcced0086,
+    0x4cdf0197, 0x6173ccad, 0x21910c77, 0x3cf0eb9f, 0xa6d555c8, 0x5f43701d, 0xe3b112b8, 0x05ac79d9,
+    0x5ccd3576, 0x34ea0808, 0xd2ce6a94, 0x1b04d2ab, 0x88830b84, 0x3985c87f, 0x50e11a93, 0x2e2631f7,
+    0x67ba242d, 0xdfff538f, 0x3843e85d, 0xd9e0a571, 0xf40869ba, 0x1116f1d8, 0x1ac451cd, 0xf0ac1c63,
+    0x1015bcab, 0x7926f4c8, 0xf0a5c484, 0xa32813dd, 0x6772a8df, 0xc8442510, 0x64316eb6, 0xdc36ee9b,
+    0x2991463b, 0x82a54263, 0x195b2e9a, 0x55b40f30, 0xa0c1237c, 0x922ba1e3, 0xca17dee5, 0xa6f0ca74,
+    0x66413ec8, 0x59d2b324, 0xc040a7f1, 0xc1ae27f9, 0xef88b4a6, 0x82cd7b73, 0x120e6369, 0xab6eaaa0,
+    0x7488c504, 0xe10e77f8, 0x37ad3972, 0xc9a0e845, 0x8c6afb2c, 0x35421f94, 0x60c8b7c6, 0x38942882,
+    0xabe84133, 0x48d466aa, 0x09796411, 0x65fce45d, 0x7d735699, 0x8d5a822a, 0x96ae8516, 0x327d83fd,
+    0xcfda7812, 0x10d3d80e, 0x33015678, 0x5b56a232, 0x906e362b, 0x73417e94, 0x2bb5974d, 0xac50a58e,
+    0xc523a3f4, 0xa407e238, 0x70065ed1, 0xbcbfa57c, 0xabe243b1, 0x0bf8f1b1, 0x57ee3349, 0x65cd9aff,
+    0xe9caf4d9, 0xf061723f, 0x3ff2ddd1, 0x77ae3b75, 0x4ca577fa, 0x3f23a9c8, 0xffd972ef, 0x806a5298,
+    0x2b64769a, 0x2c38026c, 0x5dcc8912, 0x52e75390, 0xeae288b3, 0x8b7a0d58, 0x2c14e92f, 0x9e3bf18b,
+    0xbf14ef5b, 0x78ab96b5, 0x1a2e6e0d, 0xc04ed29d, 0x20c1d1fe, 0xc3414742, 0x9bb71e5f, 0xd65ddbea,
+    0xa32b788d, 0xed8f178a, 0x493e9f21, 0x3beae8c1, 0x38b90eb7, 0x675712a7, 0x9ff6fcbe, 0x559b32d3,
+    0x39aef1d4, 0xdfd98c01, 0xa928687e, 0x936ebce3, 0xdd74e534, 0x00bea35a, 0xdae568f6, 0xeaa2190c,
+    0x72a98580, 0x2f5ec5ea, 0x7292693f, 0x61958df7, 0x3df9e45d, 0x061390c8, 0x79f89476, 0xd43eec66,
+    0x0c73d9aa, 0x67d364a9, 0x2c5f519d, 0x30a49992, 0x3d0b2273, 0xd17aba3a, 0x054bc284, 0xc01f11c4,
+    0xb6078a74, 0x42254a88, 0xf178a1ee, 0x5732ee06, 0xa9650f4d, 0x95255bca, 0x4e1bd2d4, 0x6d5857ca,
+    0xe8cc0211, 0x5c3169b7, 0x92785cdc, 0x9440e938, 0x7e0156b2, 0x5470704e, 0xc4aeeb32, 0xbc198d6d,
+    0xfd730271, 0xa3cb6932, 0x1bf628e9, 0x86fe3253, 0x7742c422, 0x27e6aa78, 0x255083cc, 0xfdc99746,
+    0x3af7175f, 0x6e1c51f5, 0x2d545a06, 0xae78033c, 0xa44c1d28, 0x45af4279, 0x9e0d6089, 0xf018f0b3,
+    0x858aaa24, 0xba051723, 0xcd4c44fe, 0x179b240d, 0x4fa435d6, 0x2684723f, 0x0fe458eb, 0x4ac637ce,
+    0x7be3d932, 0x1937ff1a, 0x4ae03a06, 0x05d6822e, 0x45d78e53, 0x382b3c74, 0xf8980f45, 0x1667c191,
+    0xfc9c68c9, 0xb6e6ce74, 0xa6fd6bbd, 0x62f8acb3, 0x7213f9a3, 0xdc86cd05, 0xe44e7da2, 0x723a4fcd,
+    0xb3d0c202, 0x5f2c350b, 0x21c0c418, 0x90b6fd07, 0x35d03190, 0x2135ca3f, 0xf49e160e, 0xa595d56a,
+    0xfe685a99, 0x4952d794, 0x9de24778, 0x7aa71e43, 0x560144e9, 0xdf980e79, 0x174ec35d, 0x216345ad,
+    0x63416c1d, 0x111c3617, 0x0797d45f, 0x699d417b, 0x4aa4aa11, 0xc6079490, 0xdea7a22b, 0xb93c268c,
+    0x6c88a2e0, 0xb9addd75, 0x3a7c39b8, 0xf084143c, 0x7d14cd3e, 0xf936b998, 0xc18f5a32, 0x3ac85051,
+    0x6ea974b0, 0x81bd73cb, 0x66816dbd, 0x904c08be, 0x5713bee9, 0x496c6d98, 0x86fefae6, 0xb9644e06,
+    0x353bcbba, 0xb684f282, 0x7024b5b2, 0x6cb31515, 0x0567d919, 0x4100e159, 0x1fc93c1f, 0x126ba907,
+    0x432d7216, 0xe0b6e6ac, 0x990b4879, 0x4d3df474, 0xb942b0f0, 0x9fecf502, 0xb4ba8421, 0xa4450286,
+    0xc695066f, 0x427049d4, 0xef273256, 0xf2e1f545, 0x03267492, 0xf389852b, 0xe8e41cd1, 0x71f99535,
+    0xbfe6f8ce, 0xa652da3c, 0xe6e328f9, 0xeb44c3b4, 0xf6927a4b, 0xe06185af, 0x3267450c, 0xb153e34a,
+    0xf269277d, 0x5d975abb, 0x757c0396, 0xf084ce45, 0xa27e1a2f, 0xe2813e2e, 0x77e76b22, 0x38ef0f80,
+    0x4c3743e1, 0xb407f15c, 0x1664db2e, 0x1c3fc500, 0xfb5d6634, 0x209d7fdb, 0x2081f2b7, 0x46d23a5d,
+    0x65ec3937, 0x41282d93, 0xaf31835c, 0x4f8fefcb, 0x72f06ca6, 0xff0669af, 0xd6e1e8f7, 0xc5eb408e,
+    0xc96feb76, 0xdfbf8bf9, 0x348ca868, 0x4a5eb20d, 0x91d92342, 0x208e23ab, 0x91bb1291, 0x32172ae8,
+    0xaf1449c2, 0xc3b695e7, 0xa22b1820, 0x62d32a42, 0x7862c51e, 0x680627e4, 0xf7b612b9, 0x3f913384,
+    0xbea9c7d1, 0x76a6fd0a, 0xdbbd3e70, 0xd8379bfd, 0xdc88e20b, 0x98f10c83, 0x6e814e6c, 0x683e0197,
+    0x0ca71bc5, 0x9276df76, 0x0743716a, 0x2dbe1d8a, 0x187f1273, 0xd2c57c63, 0xaa0d20ef, 0x9f83a8f2,
+    0x5b87b6fd, 0x48085849, 0x78637f13, 0x57e62494, 0x9532b16a, 0xd056c6fc, 0x4cd62c29, 0x01c135b8,
+    0xd864489a, 0x6cbe742f, 0x61441860, 0x82b9a2be, 0xaad7679b, 0xb8e3caa0, 0xadf79ac7, 0xf1cbbe31,
+    0x4058f060, 0x9da5b802, 0xc84004bf, 0x8df8cd2a, 0x820c2567, 0xe7f70540, 0x7599ef31, 0xf59cca70,
+    0xcf9ec66f, 0x23f3c71a, 0x3a035cdf, 0x2083d46b, 0xd0132efc, 0xd8eb59bb, 0xca58f6f6, 0xe14849ea,
+    0x651c10f0, 0x3c9be416, 0x3dc17412, 0x03cb5c3c, 0xd8106cb3, 0x51e12dc8, 0x369a712b, 0x95929e89,
+    0xef144a02, 0x88d71835, 0x09dddea2, 0x725e9825, 0x644bd862, 0x93a3c5ef, 0x41ca4d22, 0x0ce7e95f,
+    0xcabff68a, 0x73fac6f1, 0xa9c3412a, 0x9e79d53d, 0x3c186e57, 0xfeee65da, 0xf46ffde7, 0xffb8157f,
+    0x70b196bb, 0xf8a1b47d, 0xc32aef80, 0xd19d061e, 0x9f0a73a9, 0xf42c6ea6, 0x26262a64, 0x4a3740f7,
+    0xbe991460, 0x034b7b52, 0x0ba3343e, 0x24331ab2, 0x41d11188, 0x41a5c638, 0x552bc67f, 0xa52f6c54,
+    0x5be8f3ec, 0x79e522aa, 0xdb92d769, 0xc63cc15c, 0x4761067a, 0x0da9f169, 0x28faca44, 0xe0b39a90,
+    0x9712451c, 0x09e79fb2, 0x5584fc7b, 0xeb22b353, 0x22bf3c40, 0xad8aef6c, 0xaa9aeb73, 0x527d8f77,
+    0x5cf5ac4d, 0x0d87e94a, 0xbfec29d8, 0xf9bc8353, 0xa05b0ec8, 0xf03d3660, 0x98b00899, 0xb6561464,
+    0xe3db3e4d, 0x55deb205, 0x321da24a, 0x7209bf58, 0x2e21350c, 0x9f89433d, 0xffff002c, 0x67194eaf,
+    0xf37003de, 0x3084bcc2, 0x8a3fcbe5, 0xa2d78fc0, 0x749279a0, 0x7a53d12d, 0x312e58cc, 0x3f39a7f2,
+    0x1f32d639, 0xbb9a12d9, 0xf62ea2ba, 0x67ca52c6, 0x80181940, 0x359385e2, 0x7b715195, 0x6e226922,
+    0x4a6e3a05, 0x22763cea, 0xb7f0d683, 0xecfae139, 0x937bb278, 0x69cc4bb6, 0x3ab3f98b, 0xb5afba4f,
+    0xca405d7b, 0x05179a62, 0x17abd386, 0xf1d2a845, 0xc9c53384, 0xa2b94c20, 0x08eff626, 0x5689967b,
+    0x2dab1bd2, 0x77e09aa9, 0x7b2cd042, 0x7e048bb4, 0x2e7e8ae3, 0x6e277ea5, 0xf366f8dd, 0xf92ec1ff,
+    0x5db3ab15, 0x4ba7fbb2, 0x9f6543cb, 0x806a51b9, 0xa83d368c, 0x5c416771, 0x59d7d2c3, 0xbce7827f,
+    0x240e4461, 0x4d390d96, 0x652e1fd8, 0x630a271d, 0xfdd60d0f, 0x13ed165c, 0x4e4dd410, 0x1be7fe39,
+    0xc58ca845, 0x278e9036, 0xdd748ff8, 0xc4aec57c, 0xa861e224, 0xa1f21cae, 0xddc3d5f4, 0xc0ce62d7,
+    0x3422b9b1, 0x487c588f, 0x1bc31b4b, 0x621f04e6, 0xf15f3641, 0xc79b74e3, 0xf0d3e5c3, 0x4f37a002,
+    0x5641c0ae, 0x91983141, 0x13f5226a, 0xb46bba86, 0xb9b78805, 0x4dc9aad9, 0x6c2238d9, 0xf9200595,
+    0xee41d80d, 0x7e92d1b6, 0xd3aa5f2c, 0x040864e8, 0x3741fbab, 0x7b2fc584, 0x6368ed9e, 0xc094da1d,
+    0xb9c07473, 0x7730a54a, 0x74b35867, 0xbd997d23, 0xfd0b0b3e, 0x3959a77c, 0xe355580b, 0x329a46ef,
+    0x5842788b, 0x34ab83c7, 0x794e913f, 0xbcfdb3b5, 0xeea114df, 0xd6ec7258, 0x94b19e2f, 0x041d06c2,
+    0xbaa2d8bb, 0x537b4d87, 0x3396b05c, 0x1fe1fa79, 0x17aa6ef9, 0x373c725c, 0x13037112, 0xd71eba22,
+    0xef033c1f, 0xc24b52ec, 0xee19d308, 0x91cbb968, 0xaceba1da, 0x84adac74, 0x813ff2e7, 0x90228e5c,
+    0xd1ec9f56, 0x00da66a4, 0x32d084d2, 0xf5bbb391, 0x97c538e1, 0xf811fb89, 0xf659faa2, 0x03d3b812,
+    0x29f5d101, 0x47d21caa, 0x528a579c, 0xca3c4b06, 0x359e689b, 0xaf208f22, 0xf33cb2ce, 0x72444dde,
+    0xa7b8023a, 0x432dedb7, 0x79cae1a8, 0x6ece266c, 0xa3caf908, 0xadafd61c, 0x1ff0d519, 0x3c1a13d1,
+    0x1cdd04ce, 0x9f600a34, 0x8693c356, 0xe6d75d06, 0xe4d84a64, 0x001321b0, 0xe2166027, 0x43b61058,
+    0x34618056, 0x3011f9e1, 0x94a27d19, 0x709af694, 0xffb40ce2, 0x4ac27a9a, 0x7b3763ac, 0x4da09505,
+    0xd488abaa, 0x8381d28f, 0x459bbabb, 0xe3ba1c60, 0x41172909, 0x7822d80b, 0x0ec9b902, 0xfc971523,
+    0x7bbd31ec, 0xef47eedb, 0x13eab044, 0xcb9059d5, 0x921da5be, 0xa0fcbe91, 0x92992321, 0x9992f94f,
+    0xbcbe92a3, 0x6977e4d3, 0x7a52e850, 0xd19bd163, 0xdde5d5d5, 0x2cb34bc5, 0x1f53ad85, 0x45f5bcc1,
+    0xf7b0f96b, 0xd1821235, 0xba0bc768, 0xcd870e8b, 0x4bee4590, 0xa6e87525, 0x20eed169, 0x4819f375,
+    0x058f412d, 0xfaa468e0, 0x032bc463, 0x211a88a5, 0x384cbd1f, 0xe0f965e3, 0x57e5e5b5, 0x9ffa2abf,
+    0x9921c3cb, 0x07caa437, 0x6a9ba72e, 0x2eea59b6, 0x985c7400, 0x313df39c, 0xc80cd071, 0x06406f16,
+    0xc789a8d1, 0xd1b5d358, 0x890887a8, 0x7aaeaf3a, 0x415ae269, 0xc9623768, 0x7d4f8fea, 0x2af686cc,
+    0x85374a74, 0xf951b0cb, 0x066911b3, 0x85736fbe, 0x0830903f, 0x0018681a, 0xc4fc1830, 0x147fe457,
+    0x416a8ebe, 0x53087f9e, 0x14df1c7c, 0xdab9a665, 0x8b347e4c, 0xf08b7a7a, 0x0b3b564d, 0xb0b3aad6,
+    0x33277f61, 0xb169991f, 0xbad3a334, 0x269b2d46, 0xfe2a664f, 0x2ab3f56f, 0x7691b22d, 0xd220511d,
+    0x0f095636, 0x8574e684, 0x9dccd436, 0xa1dd4ec4, 0x5a9b396b, 0x4ea55030, 0x80ff6428, 0xa9277db9,
+    0x17613cd4, 0xcbabbd35, 0x16cb9062, 0xf1937a73, 0x5ed18b40, 0x0518b847, 0xd1ee2d6a, 0x1f9b7b61,
+    0x26e1e270, 0xad6be157, 0x0f08407b, 0xcfc3d7bf, 0x36c3e61a, 0x5fa57457, 0x38a3636c, 0x0a540547,
+    0xe5ccb63b, 0xe8f59ce7, 0xc68670b1, 0xf4ab197a, 0x43ee1c8a, 0x21cf3735, 0x0940a109, 0xe5cb7a54,
+    0x127b9773, 0x96ace6be, 0xccb290c3, 0x673fbdc2, 0xd06a0e81, 0x4331dd16, 0xa19523c6, 0x226fce49,
+    0xdb81b5ca, 0x2db16359, 0xad590229, 0x89b55da5, 0xb5dbafbb, 0xf59303e0, 0x8f10a610, 0x2e010acb,
+    0xbc39dd2f, 0xc492063e, 0xee642468, 0xe3f582c7, 0x3aef0924, 0xff12b5b7, 0xa458f2f2, 0xbf88dfba,
+    0x8741833a, 0x2862d8a4, 0x6e821b10, 0x0e01b8a4, 0x20d529ef, 0x204d484f, 0xa72aa413, 0x651c69d3,
+    0xc0f7c4ed, 0x9949d6f8, 0x1ce0d67d, 0x4d86d3b0, 0x45a44675, 0x9f6e8a2e, 0x69511777, 0x399ab946,
+    0xa355d09c, 0x8fbe2aca, 0x9eab1b46, 0x1c8634df, 0x61fb69bf, 0x915aac12, 0x773da443, 0x41fd42b1,
+    0x0c08ebed, 0x5cf6787d, 0x83892dc1, 0x50ae0293, 0xe4a7299d, 0x28898047, 0x9d4dc813, 0x6f544c6a,
+    0x386676f7, 0xea3715c6, 0x15f4a6dd, 0x59925d51, 0x669c31e6, 0x4001a190, 0x52b1df2b, 0xd3a25e84,
+    0x89ea0664, 0x6cc8de9f, 0x581c6e58, 0xf5a7dcbd, 0x6023d97d, 0x5f793c72, 0xc1d11df7, 0x38c2c155,
+    0xe2ae7b7b, 0x99bdad7f, 0x4eaa5752, 0x8cb39e94, 0x9cc606b8, 0x5be5cb15, 0x260b305a, 0x43a956db,
+    0x888ca91d, 0x8a55cb45, 0x18907818, 0xf0835e14, 0x2af61629, 0xb2783ec5, 0xa1cfd6ec, 0x60416284,
+    0xb967f531, 0x2f2e2cbd, 0x9f4fc470, 0x38d956f6, 0x305b5e4a, 0x5c51b586, 0x952a99d6, 0x82c710a8,
+    0xdfd520ce, 0xcba9988f, 0x68f79e28, 0x9391811d, 0x2b03ea7f, 0xfc7f2281, 0x59c3c765, 0xbe731ef2,
+    0xed8c8cfc, 0x052e159a, 0x1b2ea8f6, 0xcd03398a, 0xc9a37f3d, 0xfb000475, 0x486f5677, 0xc3c50e27,
+    0x1dfb89a7, 0x0d9071a5, 0x7b266133, 0xe9d1bc83, 0x6f81325f, 0xd3ddef07, 0x21ca317d, 0x9aa5385c,
+    0xf9d0b43e, 0x7ca4f1ad, 0x447bcb64, 0xb9a6ae2c, 0x40ae2e13, 0x1f3e5a8d, 0x782ec2c9, 0xf83402f2,
+    0xe068794c, 0x12fd099c, 0xc03499c1, 0x794a23fc, 0xe75fb1f3, 0x0dc9bdf7, 0x7cb4153e, 0xaede41ec,
+    0x3f1af2a0, 0x8d1a6a20, 0x69a76678, 0x3bd349c7, 0xf52ff289, 0x87eb306d, 0xb2bee854, 0x2c994179,
+    0xe3502973, 0xc64d3d4f, 0x10156ccd, 0xae66ee35, 0xc3a0ead7, 0x660bffd3, 0xabcc0d7c, 0xe4e346ef,
+    0xe437c638, 0xdbb23efd, 0xc652ee8f, 0x1c8db606, 0x1f94f5bf, 0x3b789252, 0x9c3e3456, 0xedad8d73,
+    0x00000000,
+    0xbcd1b8ae, 0x0d49a784, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000288230376151711744 */
+  { 0x00000000,
+    0xa64970a0, 0x1b8e2fa7, 0xb5d808b2, 0xb9059ef1, 0xeea6439e, 0xbfc59ea1, 0xb01a7cb3, 0x8413685e,
+    0x5dedba26, 0x386e1244, 0x1ea89499, 0x24312e06, 0x7202abb7, 0x465bf73f, 0x77920b6f, 0x6fdfe1ad,
+    0x16449b0c, 0x214b0be5, 0x8c324aa4, 0x6ac12b7a, 0xeef90e69, 0xd79a62b8, 0x6491a5c8, 0x902da62a,
+    0x3706bf43, 0x1a4ecdaf, 0xd3867d85, 0x2fa98cca, 0xbb240fbb, 0x8d5a4597, 0x36b3b01c, 0x30366bda,
+    0x3deb3630, 0xabd8d16b, 0xbabf4369, 0xd9ba3ddf, 0x29dbaa51, 0xdafe883d, 0x6ebdab87, 0xd89ec591,
+    0x2cfa60b5, 0x6bb0a157, 0x5d2fcf70, 0x0797793c, 0x4c4f97bd, 0x4fac1fd1, 0xc4dff71b, 0x9f89cf1b,
+    0xe716d9f5, 0x6b95da33, 0x9aa7e9af, 0x1c5a807b, 0x32c9501d, 0x45f18ae5, 0xbd039c61, 0x62637cfd,
+    0x6b1805bd, 0x5046e2f3, 0x4b793390, 0x6379c186, 0x90d1db45, 0x2cab57aa, 0x19e712ce, 0xe5c0c5e5,
+    0x942ac6fe, 0xa84aa942, 0xf563dc87, 0x4b3e6f19, 0x85cfe7b8, 0x64ee7b29, 0xc8788901, 0xb103a192,
+    0x509a04ca, 0xac2542a4, 0x93c0eaf7, 0xe3ad2370, 0xd48f3639, 0x7781215c, 0x7392d9c9, 0xef0dbfaf,
+    0xa605a410, 0x3024d8c0, 0xd88802e5, 0x0514c570, 0xc151708a, 0xe14f2b3b, 0x2ebc75f6, 0xc89aede8,
+    0xc76493af, 0x46c668d0, 0x26f275ea, 0xb3d58987, 0x5e966859, 0x67d1ac1b, 0xb55a8720, 0x23dcc992,
+    0x0d993950, 0xdc59c8a9, 0x97eb1ade, 0xebebca2c, 0xb09be36a, 0x47258da8, 0x4dd276cf, 0x13019e26,
+    0x731d0ea0, 0x6e08cdaf, 0x11409cb1, 0x005d4672, 0xbe5fdcda, 0x9e3d1f39, 0x5a15f65d, 0x36eca733,
+    0xf703ab61, 0x7a8de1bc, 0x6285f2a2, 0x3a82b2bd, 0xe0767e90, 0x244f1f4d, 0x95126cee, 0xe98bffc6,
+    0x2f640983, 0x85161cce, 0x8e00ffa3, 0x47a4d124, 0xdb9310c2, 0xf8834988, 0x5b9c2e08, 0xdcc7156d,
+    0x13ff6997, 0x289a37bc, 0x1f6072f0, 0xa7ba0640, 0x652b7d11, 0x2ab96a80, 0xeb88ed6e, 0xf5620090,
+    0xd369b2dd, 0x7ec7fcaf, 0x765fcbee, 0x63f6b930, 0x74cf7a73, 0x5d6b57c4, 0x044134ac, 0x88ec3696,
+    0x580f1919, 0x980586b1, 0x2907e865, 0x3be665c5, 0x51e6c1ab, 0x65738fa3, 0xfc49acf3, 0x52d69e06,
+    0x03ac9902, 0x080d60c4, 0x274c2678, 0xa6beda12, 0xd2fc299b, 0x2995d4d7, 0x38b8b0c2, 0xa553a4e6,
+    0x1f999cac, 0x2730623c, 0x65e45cc9, 0x2ac55006, 0x3fdb53dd, 0xaf6c04b6, 0xca0c65aa, 0x8322d241,
+    0xc3c836d9, 0xe5537022, 0xfc35e9ed, 0x474ebc6f, 0xe9d87204, 0xbabb42f6, 0x4e9eccd6, 0x816922b7,
+    0x089c639d, 0xced22ae1, 0x353e2c95, 0xf06351f1, 0xe9d7beb1, 0x08bd35b4, 0x02786cfa, 0x6e3d8a73,
+    0x0b6b1dc3, 0x307f6479, 0x1c3b051d, 0xd9b467af, 0x15d40785, 0xd36f5ccb, 0x38a9f3ff, 0x869a918e,
+    0x15e9a300, 0x5257b8f1, 0x960d913c, 0xaa959bfa, 0x8b961122, 0x6655195b, 0xfb020b27, 0x34709fc2,
+    0xc2ef9a0c, 0x7d0da983, 0x6bd5c36a, 0x78afaf16, 0x68504dbd, 0x23f87ee9, 0xcd3209d2, 0x1e4aa2b4,
+    0x4035a7f4, 0x5c1a04c6, 0x189472dc, 0xab834499, 0x91116c96, 0x08ebadf0, 0x88e9aa02, 0xc22250cf,
+    0x8b111f15, 0x57791e23, 0xce0d598f, 0xb39f698d, 0x14abcb72, 0x8cb10ba5, 0x63de992e, 0x8e5924d8,
+    0x7ffe6925, 0x950b3f46, 0x34401e5a, 0x535baa8e, 0x0a95b693, 0x5a4fe228, 0xae27c54a, 0x72d794ff,
+    0x08a8fd75, 0x0f082af4, 0x742f872a, 0xb4ad26a6, 0xec589f54, 0x12dae3cf, 0xe16bd205, 0x1f693fde,
+    0xec61ba26, 0xe10e0813, 0xb631f0aa, 0xcb1ff1e1, 0xe0a65661, 0xf1af9036, 0xdc858f31, 0x0d929d56,
+    0xdc0ce556, 0xd17d15d2, 0xd8dfda2c, 0xae49a903, 0xc9dc590e, 0x7b319005, 0x84307c86, 0xf6e3a333,
+    0x779ecfaf, 0x4c29379b, 0xa7cb4869, 0xb3c73e9e, 0x5d585c68, 0xebea0565, 0xbfd0a472, 0xb8257807,
+    0x2c4acbf3, 0x486d09a0, 0x469d2531, 0x243b5936, 0x80335973, 0xc8d78ec5, 0x41c80745, 0x9cd42fd7,
+    0x800f3076, 0x6e076695, 0xfb95e682, 0x908363a0, 0xc212bb4b, 0x5db2e024, 0x27e5a5d3, 0xfd410315,
+    0x41634374, 0x29ffa6d9, 0x9265cd8c, 0x8c380417, 0x3388ebdc, 0x8e63c3b8, 0x765831a8, 0x843f8da3,
+    0x3f1e999c, 0x5c2e7832, 0xbe73be3c, 0xd019b6a9, 0x5f396031, 0xa6065d52, 0x606e9550, 0x3f1e3831,
+    0xc0246f37, 0xfe15981a, 0xe1d89c34, 0x8f3dad4b, 0x557e9977, 0xa8be9720, 0x8f8c1b3b, 0xe54ecc0c,
+    0x33288809, 0x2953a02f, 0x4f810d5d, 0x33d12382, 0xd7e65ea3, 0x30ac8a1e, 0xa1a379e4, 0xfa7aac9d,
+    0x0b4c4f37, 0x596b7720, 0xdecf5d18, 0x5cd80ddd, 0x8d27f89d, 0x6cbbe8d0, 0xfd8a60ce, 0xee49fc44,
+    0xb5c75527, 0x8569e5a8, 0x52e73852, 0xd40e709a, 0xa5201a5b, 0x0c9134bf, 0xb07fed62, 0x2d7f00b2,
+    0x0cfdc895, 0xe32464fe, 0x1b60e897, 0x067f6206, 0xfc0da0a2, 0xb09eac06, 0x57f13fa9, 0x949d3818,
+    0xce84e7bc, 0x6c65bc6f, 0xdc8f89ed, 0x26eb2741, 0x8c488db4, 0xb7768a4e, 0x8511d410, 0xda8a1a39,
+    0x419b7205, 0xcdf29665, 0xd0e135d7, 0x23023be1, 0xf5a3e9a2, 0x993350b7, 0x79ef1996, 0x38b0630b,
+    0x9753c9c7, 0x1b8a8d19, 0x0b5920f5, 0xbcb2cb51, 0xb9de8c3c, 0x1615f979, 0x9eadfdeb, 0x1ef70c68,
+    0x1c9b587e, 0x65802408, 0xbf5f2b32, 0x61e1425e, 0xbe2c67cc, 0x57d5c12b, 0xc9a02cc5, 0xa8f0db8d,
+    0xef45701e, 0xd13be653, 0x3560711d, 0x8941ce66, 0xc45a5369, 0x36ed022e, 0x9e2363da, 0x3cbac8e1,
+    0x98a1d4b0, 0x8b31d896, 0xc0cdf616, 0x304ed974, 0xf8206522, 0x059d4e5c, 0x0b9b8feb, 0xe18a7a61,
+    0x0a6e3284, 0x207d3ed9, 0x2c8920a1, 0x5370ba5b, 0x562a7f0c, 0x6d49e134, 0xc3697028, 0x2713d25e,
+    0x8d9687be, 0x5450aa20, 0xf0e1c6ff, 0x9c54ef1b, 0x29676039, 0x86585c84, 0x094d7bd0, 0x7ff5decb,
+    0x450dac70, 0x27798e80, 0xa23765ab, 0xd7ce2434, 0xc28b6dc7, 0x2a5ae14b, 0x2f854d9e, 0x1f775fd3,
+    0x22eca5ac, 0xbfd32e07, 0x233197ab, 0x8ef6d804, 0x136dcf10, 0x81d16733, 0x9bb49d20, 0x9275cd35,
+    0x7d99ab3b, 0x2220626c, 0x042520a9, 0x9385c72b, 0xa7bfde2f, 0x19b07c2f, 0x248a5a96, 0x31f9da8c,
+    0x0884a952, 0xeb94ff8a, 0xe21101c0, 0x64ceb619, 0xbe76c3e2, 0x7ef28298, 0x4c1ed767, 0x5ce5013d,
+    0x491b0647, 0x053b25bc, 0x868c1e6a, 0xce691d77, 0x34e85b86, 0x64682545, 0x91164590, 0xaa9a5eb1,
+    0x5f3f5149, 0x98c8b805, 0x623415f5, 0x5ae5add5, 0x97988509, 0x7cd045ae, 0xe37bba7f, 0xd2f8f68b,
+    0xfa262a83, 0xae403af9, 0xba43433f, 0x05871983, 0x88172331, 0xd976b1c4, 0x393a96e4, 0x6cba1db4,
+    0xaaae5c5e, 0x0693c56d, 0xd5b9b5ff, 0xbec47899, 0x102f97dc, 0x402e3757, 0xfcf01035, 0x9f60d0c4,
+    0x98bd8cf1, 0xdf00f6e3, 0xda6ae4eb, 0x9fb472d0, 0xe9bfef85, 0xaf493acb, 0x5f9748c8, 0xd923b392,
+    0xaee522d8, 0xa21d226a, 0xe97d2bc1, 0x4e924cb5, 0x9c24147a, 0xf13cbca8, 0x9c091d71, 0x28c7afd7,
+    0x13ceed59, 0x3a5a4f77, 0x5ad68220, 0x2576e27d, 0xc5802aeb, 0x59b1d605, 0x66439e7a, 0x56c98985,
+    0x51fc81a7, 0xa8f68e8d, 0xefc13d29, 0x21aa6bd8, 0x5db442e6, 0xf408a8bc, 0x0e3a4430, 0xf24e8dd0,
+    0x967a0300, 0x35a6795e, 0x2351fe8d, 0xbac69f3b, 0x1869c133, 0xeac883fb, 0xc626f49a, 0xfb0929e9,
+    0xe29116a2, 0xe559223e, 0x62ad208c, 0xbfc4ccf8, 0x854d383f, 0x7f90aff7, 0x5fe536b8, 0x4a3873d5,
+    0xe209e85f, 0x91910d06, 0x8b4476a6, 0x26bf3bb7, 0x26017a18, 0xbc0836af, 0x038cb610, 0x5830272f,
+    0x337ff179, 0x06ed366e, 0x2a44628e, 0x987e433f, 0xc3ff374f, 0xc7dc8144, 0x8d719a8a, 0x4843c5c5,
+    0xa61643a6, 0x051ea928, 0x5af8d50a, 0xb51438cb, 0x6ee41d34, 0x9e3a9be0, 0x80f2fee7, 0x30275d2a,
+    0x8663b5f3, 0x5948372e, 0x08713662, 0x2552bf54, 0x7594be5f, 0x01dbbef8, 0x97921bcc, 0x3ce36392,
+    0x2ad8b2c7, 0x8424a99e, 0xeb4ff0f0, 0xda1779fe, 0x5257413e, 0x164e81fa, 0xf30fd4c8, 0x9804a263,
+    0x37099652, 0x334a2871, 0xf0f94ea7, 0x49759ac8, 0x8ee86ddd, 0x6027646a, 0x444976ca, 0x4dfdf977,
+    0xd2da7dd8, 0xdf6241d8, 0xea89e668, 0x4c03bdbb, 0xdb7fcf3c, 0xde864374, 0x7d565a5b, 0x1c4289a4,
+    0xe105aed3, 0x7ed3efad, 0x72e9cbdb, 0x0b87cf9e, 0x3f8a0c3a, 0x696c2505, 0x6c554476, 0x6f29f442,
+    0xb62171ae, 0x14365d57, 0x1268452d, 0x4ab1ae28, 0x0266b263, 0x9a247302, 0xd624da76, 0xd35956d7,
+    0x41e484d1, 0xa375cc28, 0xeb40c659, 0x8408aceb, 0x59de7c8b, 0x641a0346, 0xf5229eee, 0xc05fb718,
+    0xbf501c51, 0x0c767fdc, 0x2709d93a, 0x821bb3eb, 0xeb2ab2af, 0x71c6c5cf, 0x1edd694c, 0x30ecb01b,
+    0xdecf5470, 0xa33f7f50, 0x3ab27755, 0x01d01e51, 0xb1649aaf, 0xaa43d836, 0x858312c0, 0x954a9356,
+    0x0e91016a, 0x6272895a, 0x3c39e4d9, 0x46862184, 0x73f8cdf1, 0x5235cebd, 0xc452816e, 0x8d6a66ad,
+    0x88535305, 0xed104016, 0x9a6bc718, 0x26c3c6bc, 0xaadfdda8, 0x84837120, 0x9998b92e, 0x68673366,
+    0xe48c7700, 0x21bcd114, 0x71c47930, 0x18a07246, 0xcd97eae5, 0x490e4408, 0x865066fc, 0x2a519d1c,
+    0x0e8ff227, 0x5d2429fc, 0xd60815af, 0x0f030c59, 0x9f920723, 0xacaf2ed3, 0xe4771125, 0xc5a9b06f,
+    0x7d7c1aed, 0x266b9466, 0x2b73ffaa, 0xf8efbcb8, 0xa08918b6, 0x64d87ff5, 0x48f5598e, 0x8ab409b0,
+    0x29f8cf1a, 0xedb0ae0a, 0x71a13d2e, 0x4c80ef85, 0x218856d9, 0xf7a5fcfe, 0x12d8f7a4, 0xd16084aa,
+    0xb6d6560e, 0x63d16218, 0x8d345e03, 0xbb1f0c08, 0xf8583a01, 0xaded72e1, 0x5e940718, 0x76e0d61a,
+    0x2aed418e, 0x55ca84ea, 0x6df52d8a, 0x32346016, 0xd19e0913, 0x2fa3f513, 0xf7d4e23a, 0x5adb09e8,
+    0xda15f065, 0xece8fb40, 0x69b16c8a, 0x2f79ac46, 0x5b542f53, 0x59e7a6ee, 0x86f0783b, 0x0591f29a,
+    0x3066a8b8, 0xf1c40c57, 0x1fc0e55b, 0x66db300b, 0x7de3c695, 0xd21ab580, 0xe008ec3a, 0x8c4527c7,
+    0x24a7bf97, 0x5d7636e7, 0xdb5980ba, 0x3194b938, 0x8fab7acb, 0x01e52cd3, 0xde2e8964, 0x98edc093,
+    0x6d9e401c, 0xad515579, 0xd48371e1, 0x78bd8b02, 0x00418f9f, 0xa4569652, 0xec2c0051, 0xcfd3bb64,
+    0x46e9e248, 0x23966e30, 0xf34bd9c6, 0x1031d05c, 0x8ddb145c, 0x73ebac3d, 0x21a89ead, 0xd77b6e6b,
+    0x396a2072, 0x19404ec3, 0x58a2daad, 0x18d0b66c, 0x23be1138, 0xb037e759, 0x0ac057b7, 0xab58db2e,
+    0xb4f73d9c, 0x3fed923a, 0xac62a19b, 0x3f0710a1, 0x62721823, 0x7c0c05c6, 0xc243af6b, 0x43952139,
+    0x0c1fed37, 0x2ddf88e2, 0x8820460f, 0x32e53641, 0x61c7dc2c, 0x277dbe38, 0x87db6aca, 0xbdc36788,
+    0x544c1cd5, 0x07bf966a, 0x0fa5bde3, 0x1477d67b, 0xa65c30a6, 0x1b938ac2, 0x9cb4fb93, 0x2d160a36,
+    0x8e709cd5, 0xd3fbb3ab, 0x0ee7ea05, 0x54589279, 0xa7ef4f57, 0x6359d05b, 0x93ecde96, 0x1e62abc2,
+    0x35e1b0d8, 0x19f10d99, 0xa03fbebf, 0xf7a50519, 0x5e909122, 0x74524ea3, 0x447ea589, 0x70639364,
+    0xb7d42a38, 0x14204a84, 0xb721a125, 0xddb9c2bc, 0x59fb95ef, 0xf60b0d40, 0xfd504b25, 0x9d0598d4,
+    0xdd20c0c5, 0x4c30dff4, 0x5a951a4e, 0xdeaa3a0e, 0x3d42ea3a, 0x883a857d, 0x4cf85cbc, 0x0ccaab80,
+    0xfa26988d, 0x4e22f170, 0x0e649227, 0x11845936, 0xc1afe832, 0x548fd274, 0x5e227bc5, 0xff81d883,
+    0xe78e2aeb, 0xdd354ca7, 0x0be8a022, 0x815d4a8a, 0x095aa488, 0x567577f5, 0xc0290909, 0xdecf6911,
+    0x7b322583, 0xa161c662, 0x4e3e1ec4, 0x2dd05086, 0x3a605a20, 0x041acd60, 0x986fcca4, 0x52b40e13,
+    0x9123b3a1, 0xd5aa454a, 0xdd88adda, 0xa595b998, 0x7b29746f, 0x8bd46b61, 0x07a6af2f, 0x7fbbdf19,
+    0x4f043ff9, 0x982313c7, 0x5fc46bbb, 0xf7a698fd, 0xbd77f890, 0x8a8c9d32, 0x29f4e70f, 0x9e70d1ec,
+    0x836ed538, 0x529d6337, 0x673a9472, 0x2d87bc7c, 0xcd39d662, 0xccc02520, 0xb78a057e, 0x125074ee,
+    0xf6d52179, 0x40f008dc, 0x3fdc0982, 0x8cfad568, 0x569a18b1, 0x5543f64b, 0xfac3cdaf, 0x9ecb9aea,
+    0xf813b3e3, 0x376b546a, 0xdbd8e32d, 0x9e1ecd73, 0x191f02ae, 0xbe71e022, 0x4b840a39, 0x9c94343c,
+    0x5de9dc05, 0xd8730a60, 0x9d94506a, 0xac4f1439, 0xbb47fdb1, 0xbbc5f4cf, 0xf1b9b2ce, 0xa5474751,
+    0xe1901df3, 0xf62cc449, 0x1b6f3e13, 0xdde01623, 0xb93d4085, 0x55f69e23, 0x80acd91b, 0x83ff820c,
+    0x2dda9bd1, 0xaa93d6bb, 0xf0b23d0c, 0x28819548, 0x159ac7f5, 0x7e30c833, 0xf82fe9c1, 0x556b1f95,
+    0x12ad1645, 0x219ad337, 0xb56fa339, 0x6ffa0e70, 0x6d6dee7e, 0x6be823ab, 0xca6932ba, 0xb07efe63,
+    0x88d8fc6c, 0xc5a79caa, 0x793184f0, 0xabdcb5ac, 0x8d4e8bc6, 0x2cf5307f, 0x3e807571, 0x90eee2b7,
+    0xb1b7d0ab, 0x5df976b8, 0x72ca6a47, 0x583e677d, 0xfa1edc99, 0x50caa2a6, 0xc3dcfd6e, 0xedd9662c,
+    0x05a6e368, 0xda7ca376, 0x95174f27, 0x10a07230, 0x7ca250f5, 0x14657f8f, 0x63fcc917, 0x5b4b96db,
+    0x9a306ba1, 0x3bcb8b20, 0xf8ed3f0b, 0x2cd69682, 0xe633ac53, 0x67be74ea, 0xac428c78, 0x29322210,
+    0xfa4f2d74, 0x2ff5af47, 0x5b721eff, 0xb782739c, 0x5d456038, 0x269ab98e, 0x858ddc12, 0x3619d8f8,
+    0xcf3e57fc, 0x815a8f1d, 0xd802d813, 0x1ca3a96b, 0xc4352c0a, 0x71bb1867, 0x320d982a, 0xa7c4fa26,
+    0x9966b994, 0x0a209f62, 0xbfe53eda, 0x675ca393, 0x94a9d397, 0xd3f0c075, 0x3509f896, 0x274dafbc,
+    0x627ea4eb, 0xd9b5e3d2, 0xe89c3e1c, 0xecac3453, 0x5677c9b8, 0x9ff35066, 0x3a9e91fc, 0xcce1d88f,
+    0x2deec270, 0x63536f6f, 0x7051b7b9, 0x3a2428d0, 0x07295b9b, 0xfaad1860, 0x1d442442, 0xfec7749a,
+    0x326fef63, 0x1671f4c6, 0x2a841050, 0x07dc6d22, 0x6a43e7fc, 0x0de41c00, 0x50b885e1, 0x567c437e,
+    0x3e9cb6a8, 0x6ac63f9b, 0xf7eb8b3f, 0x74863308, 0x9560f01b, 0x052b0aed, 0x4d7b1869, 0x4e4d0fd8,
+    0x05d43cb9, 0x44dc420e, 0x9f7f0f4e, 0x69bfbd6f, 0x2644ab75, 0xd4e423be, 0x341f3096, 0x46836106,
+    0xdfc2271d, 0x406e7da9, 0x3dd8fcac, 0x4f891123, 0x230f2511, 0x1c2ab67d, 0x5f5363a1, 0xe9c9834f,
+    0x7eb16c39, 0x32fe49c4, 0x20a9c0b0, 0x698a5d43, 0x4a4d839d, 0x73d3b457, 0x99346ec3, 0x2e799b27,
+    0x90b53925, 0x7eae3607, 0xc80788a1, 0xfb855d2d, 0xb6d3aeb3, 0xd7578211, 0x66ed6a9e, 0xbaf19bff,
+    0x5e2586d1, 0x8064c680, 0xb8bfada0, 0x4687c494, 0x7717b362, 0x034d2fdc, 0x038063ea, 0xf7469349,
+    0x568c46bb, 0x6470b5ed, 0x333e02e2, 0xf0d0fbdd, 0x41ee40c4, 0x252b26dd, 0xa5628c9b, 0xf6ab3dde,
+    0x00000000,
+    0x5e68dc56, 0x06a4d3c2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000144115188075855872 */
+  { 0x00000000,
+    0x81d51d33, 0x21350440, 0x7cdb8b5c, 0x73e6c282, 0xaf9a9215, 0xfafa8e72, 0xe6c1eec2, 0xa1c06aae,
+    0x5a1d4df1, 0xe107a405, 0x75411928, 0x0c7e19bf, 0xa022c537, 0x2a9581fa, 0xfbc97007, 0x5200dfc6,
+    0x0e206d57, 0x08af7895, 0x4b666628, 0x4edbb2b0, 0x2644b9de, 0xb6168804, 0x20210102, 0x110f132c,
+    0x43782ca0, 0x80495398, 0x0dcf573d, 0x2bf595a4, 0x39ff4276, 0xe314d718, 0x88e2cacd, 0xa0f463bf,
+    0x7a2b5af7, 0xac34133a, 0x612fa3e6, 0x0a886562, 0x3a31c739, 0x47ce0e52, 0xd10961c3, 0xc7b1e316,
+    0x0015c8ab, 0x5f2546b9, 0x29eb76cd, 0x1459d1c7, 0x83589d04, 0x9a297a7e, 0x6e81fce3, 0xe52a7329,
+    0x7437613f, 0xda0b6fb0, 0xbeb537fe, 0x366fe977, 0x3d058e80, 0x2398483c, 0xaa044d7e, 0xfa7d3a0c,
+    0xd558f3b5, 0xf711509d, 0xbc58972e, 0xa249f928, 0xa50fc26b, 0xcd13a338, 0x244dee69, 0x3f97910b,
+    0x40b8b081, 0xdc889add, 0x51269583, 0xecf8b886, 0x06311d7a, 0xc3a60911, 0x169cca0c, 0x2b5656bf,
+    0x801dca65, 0x34f0d922, 0x4442ca0f, 0xf1460340, 0xfa8f2e58, 0xa2256e78, 0x1f5f1be3, 0x3c486da4,
+    0xa1d5f007, 0x8f71c722, 0x7984e2f8, 0xd28e5a01, 0xa931a310, 0x4d662024, 0x931cdc1e, 0x5e124409,
+    0xbc370474, 0xc5634536, 0x400662ed, 0x9ef86bfc, 0x790f18b9, 0x3e2aa515, 0xb607a391, 0x03502ebc,
+    0x5337b1c0, 0x2b773ff8, 0x6055eb12, 0xd74bf16c, 0x7d483bbe, 0x60a1dd31, 0x15bb09ce, 0x064f6cd7,
+    0x051ff5ae, 0x34505417, 0x4c66c312, 0xc6b08329, 0x0eca0a32, 0x59f4e2de, 0x43fd72f2, 0xa236973e,
+    0x34cafbcb, 0xfc58624c, 0xcb2f614f, 0xd9483276, 0x622d1c29, 0x069837ad, 0x70642519, 0x5e0593db,
+    0x2583e8af, 0xde2bbac9, 0x2af2e9f0, 0x6b089033, 0xb05f66f1, 0x8072d2c4, 0xc0c98b77, 0x789b0b04,
+    0x3c37fca5, 0xa5a31de6, 0x7c401daf, 0xf92ddc13, 0xd8292b16, 0x2ba3f07c, 0x581b5e8d, 0x93945a6a,
+    0xc59a9bc9, 0xa3d01a8e, 0x5760c63b, 0x12153cbb, 0x1b6ba526, 0x1ef619bf, 0x5eab6b10, 0xd1ca3809,
+    0x7888e09e, 0x9d7623a0, 0x1a35e607, 0xa136c8a9, 0xdf6de5ad, 0x380f8dd5, 0xc6270435, 0xcc920782,
+    0x669c8a18, 0x587b13d8, 0x96d568ce, 0xf62eaa49, 0x48fb24df, 0x494f2c20, 0xb553eca2, 0xcd60aacb,
+    0x3a82e669, 0x2c4ca48a, 0xa2f6fefb, 0x71523eca, 0xef9adba7, 0xd80f9684, 0xbe286c3e, 0xafbe1815,
+    0x28ed2e28, 0xd748fa31, 0xa18f3933, 0xc00cc31e, 0x6b6b8c38, 0x4957198a, 0xb82db073, 0xfee68346,
+    0xcfc63ad9, 0xf0609438, 0xa7aba68c, 0x383119cf, 0x137164a4, 0x8ebda630, 0x6a23b312, 0xec690e2a,
+    0x0de40298, 0xfe087375, 0x063fedc6, 0x961b075f, 0xd4214ee9, 0xfdf22c55, 0xaee701de, 0x3e31cf2d,
+    0x314c18ef, 0xc61949b8, 0xc55ec0cc, 0xbf67c34e, 0x074b253b, 0x412d4562, 0xfdd08fbc, 0xc62c57d3,
+    0xfdd48883, 0xc69062f3, 0xcec71171, 0xc9eb83d9, 0x9e52d6a9, 0xef863346, 0x049feb2c, 0xdf0bf195,
+    0x2ac34d14, 0x019409b5, 0x395fe234, 0x9f54f40b, 0x901ab008, 0xd67d36bb, 0x6c728a96, 0xcbc83f60,
+    0x478a6fd9, 0xb03c482a, 0xadfce19c, 0x1e5b2c7a, 0xd1b4a4a8, 0xb4f9c313, 0xdae2c63e, 0x537679ee,
+    0xb6aa5ad7, 0xc7cb4c9e, 0xeab1690d, 0x038fe958, 0x6a083370, 0xea1b6bea, 0x0d6c69c3, 0x73fd32ba,
+    0x1eb61eb7, 0x50a9eca5, 0xb734cdad, 0xf44252e6, 0x075266bd, 0xc67964f7, 0x7bd90cb3, 0xb3633c7b,
+    0x6db58a7e, 0xf0f27a70, 0xc388cc3d, 0xd51921c7, 0xa4770dea, 0xe021ce41, 0x42c56872, 0x262bd179,
+    0x9df9b73a, 0xb5100e35, 0xb6b2fb6e, 0xfa05c8ec, 0x3900d2a4, 0x3ca2b8a3, 0x8ec57504, 0x8b9ac073,
+    0x3a200392, 0x8132f296, 0x0f62814c, 0x2ef4a64c, 0xf190f7d3, 0xdb4ff54e, 0x314cf6c2, 0x6f1fdcda,
+    0xf8727cb4, 0xdab9dabc, 0x388882b4, 0x64ed6fbb, 0x4af937a6, 0xe3c91162, 0xa1d66707, 0xd1c7c8d3,
+    0xb01ee684, 0xca2363d5, 0xb1677f4f, 0x35826d38, 0xf2f55775, 0xd02a7548, 0xe633a0dd, 0x69a9e37c,
+    0x2c33322b, 0x727bf03f, 0x87f19704, 0x7ab58d6f, 0x9c7f31fd, 0x7d2d2903, 0x9908348c, 0x2766f838,
+    0x50234e38, 0xd6bca0d6, 0xba3ede65, 0x341a9910, 0x58162769, 0x283f7199, 0x692a5c53, 0x3d36e48e,
+    0x7499e9e8, 0xb9f500c4, 0x1a03ab86, 0x020de6ac, 0x9d719ec3, 0xdfe7f5e3, 0xe2e55350, 0xd5d2daca,
+    0x7e4cecf6, 0x12df53bc, 0xdaf82c1e, 0x06b75d40, 0x5ffd7f65, 0x6ae48353, 0x825e54b6, 0xb1d9d26f,
+    0xf4b07479, 0x6efe1e74, 0xf1cbf96f, 0xd66ebdf4, 0xf33a342a, 0x5710f65b, 0x6297191d, 0x0c2c9f9c,
+    0xce0b6635, 0xd749c62b, 0xa22a1fff, 0xd4b21c87, 0x1319d5cd, 0xc4ee82bc, 0xf8ae6e57, 0x98ed5642,
+    0x0cd4c098, 0xae3ea396, 0x1c0972c3, 0x8f0e99b1, 0xb56efacc, 0x999c9123, 0xa7edc211, 0xabeb8fd4,
+    0x0c6a410f, 0xe5ef1af4, 0x544cb4b5, 0xa0672e78, 0x827551df, 0x436a9f51, 0x54f789bb, 0xfc136d99,
+    0x2455cd44, 0x573f0e9d, 0xb05a2fdd, 0x1f397e54, 0x19c3ed12, 0x15482484, 0x4cbe0244, 0xd918f5b8,
+    0x0cc945ad, 0x67dd5204, 0x0737c84b, 0x21313308, 0xb544090f, 0xffbb70fa, 0x7e3b7660, 0xf51ae1d0,
+    0xe7b1bae6, 0x85d30a9b, 0xcc6ccc88, 0x853b282f, 0x7c681b37, 0x95787ba7, 0xadf01829, 0x0d313982,
+    0x689b836d, 0xf755fedf, 0xae04f11f, 0x89a50dee, 0x23f69695, 0x0ef524c4, 0xe204801b, 0x306685b4,
+    0x7b6dd064, 0xdd472618, 0xa9f368eb, 0x6d0eef0f, 0xed74c71d, 0x57345c42, 0x0e41c461, 0x7637396f,
+    0xfa06c02e, 0x8fbeb686, 0x85e3035d, 0x7927fdd0, 0x3fae20ce, 0xfc6a54fe, 0xfcb4bb16, 0x501034f1,
+    0xd2119bb6, 0xd2d2216b, 0x86873f57, 0xb4924b2b, 0x2f5abe74, 0x1415bbc0, 0xfb1fefd4, 0x010b2d9d,
+    0x525565c4, 0x8af12706, 0x309946f5, 0x676f8439, 0x5254df57, 0xbf5f3756, 0xd842bfb3, 0xc1598919,
+    0x54c39f2d, 0x868948a4, 0x5362f2f5, 0xc10cda69, 0x0f9bc3ad, 0x7c168647, 0x8bfdb9b2, 0xc9a086b5,
+    0xb7a52c8a, 0x9c7c5ada, 0x3d1dda05, 0x6b9eec29, 0x216721b3, 0x8bdf8aba, 0xe4bebd88, 0x11990098,
+    0x054dd935, 0xec0be497, 0x3826dbdf, 0xbae22161, 0x64c1eefa, 0x24c5b1a1, 0xb706ded7, 0xdb0ce3ab,
+    0xb90781e6, 0x1f1cbeaf, 0x08669966, 0x197cedca, 0xfbf0614c, 0x35ef9c1b, 0x05ab7a78, 0xcc835414,
+    0x9ed5b92d, 0x482c81a3, 0x015636ae, 0x91f38f70, 0x0a75f4e5, 0x19a19ffe, 0x29892d81, 0x817f88fb,
+    0xd310f05e, 0x220f9bb8, 0xdba9a159, 0x61a2ecfa, 0xa41bcf4e, 0x6fa48c7b, 0x65a43934, 0x63ba84db,
+    0xc28fdac9, 0x089aee4f, 0xecd5e635, 0x6a829e95, 0x1717de61, 0x9ee3e175, 0xcc2cf07e, 0x29585444,
+    0xf05b758d, 0x6394ed1b, 0x3b8144df, 0xef7fbe3f, 0x46e2cc11, 0x0f4c78b5, 0x6c54c969, 0x61a7980e,
+    0x1de0ec4a, 0x6bc9b2dc, 0xef9e446e, 0x0f3246fa, 0x7884ea7e, 0x764f3cb8, 0xd193b85a, 0xef59bc11,
+    0xb07001cd, 0xcea65f6b, 0xe9eeb76e, 0x498a1f3c, 0x2e3dc923, 0x2cfff397, 0x7e8ebdf0, 0x75359ecf,
+    0x0bec8f39, 0x8e319ad8, 0x93db6c09, 0x13de2de6, 0xd688ffcf, 0x40b35dcf, 0xba64fb66, 0xb99d801a,
+    0x666b2c7f, 0xdf839743, 0xf252e672, 0xaf9480b8, 0x13e8aa6e, 0x37eb77f5, 0xb611469e, 0x523c7cdf,
+    0xf342901a, 0xce384ab8, 0x45e449c0, 0x67757097, 0xc2f76051, 0x3fbe443d, 0x8b5ef87b, 0xee204363,
+    0x73ac3877, 0xbc7e9d18, 0x3899ec2c, 0x8f40c41b, 0x7dd02718, 0xa71ce174, 0x23d6f8f6, 0x62ec16c0,
+    0x71fe3a47, 0x79c814fa, 0x308207ad, 0x315d50f8, 0x8a291fa3, 0xef494ad9, 0x95bbefef, 0x10f6e9f9,
+    0x4f68bb0c, 0x71ac8c67, 0xbebcbb9e, 0x172e27fa, 0x83ede256, 0x0e61443c, 0xc396f364, 0x9f06e28d,
+    0x4c8e14d1, 0x8f690d53, 0x25f294e2, 0x0c0bdbd5, 0x4670bc97, 0x5de85764, 0x527f1c86, 0x9806e945,
+    0xc477a07a, 0x8a04b04a, 0x037d1667, 0x9183948b, 0x950ac741, 0x7d34bb81, 0xa1af55e5, 0x0a9780fb,
+    0x042624db, 0x0f40b7bc, 0x27a19d74, 0x16a648b5, 0x2602c646, 0x211213dc, 0x0fed9f9e, 0x3c46f72f,
+    0x5891aa9d, 0x9e7ff17c, 0xe8d0e460, 0x13876089, 0x64701128, 0x50e261bf, 0x7e09c504, 0xa034a486,
+    0xe6c1b5a2, 0xec9f51d8, 0x9f0d91b1, 0x787d57c3, 0x48e31495, 0x4375ad7a, 0x92b9aef7, 0xb17a7de7,
+    0xa298ee6f, 0x44a2da8b, 0x54e3e7cc, 0x911e5f2d, 0xc2cedb88, 0xd7d75bfe, 0xfde069b1, 0xe934beb1,
+    0x0ca05c6d, 0xf119bb87, 0x3bf174d3, 0x0f1ec701, 0xad98e622, 0x25a9edf1, 0x105c64ab, 0x511bece4,
+    0x6c6ebaad, 0xd3922595, 0x5ff22e6f, 0x9e4a9d51, 0x45dd25cf, 0xb4115b50, 0x9c25fb17, 0xa0722f6e,
+    0x99f6b597, 0xa9828bdd, 0xe66bea72, 0x5aaf66ec, 0xb4b264d3, 0x3a16e8e5, 0x32acc83b, 0x3f46cafa,
+    0x5c2f98d0, 0xad2cd530, 0xad52880a, 0x93125f69, 0xfc40387f, 0x734aa07f, 0x81a7abce, 0x1b319d55,
+    0xa48ea073, 0x5144bfe5, 0x97b05c6c, 0x48b8c3b4, 0xc20ff2b7, 0xfbcf03ba, 0xec8fe0af, 0xbdb631df,
+    0x3b1edb47, 0x46131a78, 0x65b6cc1f, 0x7e48cef2, 0x5dbe7a9e, 0xb8b22d5d, 0x0d273a7c, 0x45d134c2,
+    0xfa1671a7, 0x7ae07a68, 0x7cab29f7, 0x185ecdf6, 0x85e2b240, 0xbbf9dfec, 0x520579d7, 0x08628526,
+    0x54963b6f, 0xffe844e9, 0x39cd2ec3, 0x137faedf, 0xfee46c8c, 0xec27bb17, 0xc1290010, 0xae487b85,
+    0x2d10f3b3, 0x35e51c73, 0x65890c62, 0x698f0ce3, 0xf03177c0, 0x020469c4, 0x8dc1f729, 0xf88a9824,
+    0x5beb60e2, 0x44de12c1, 0x9baccd2d, 0xa84ecf08, 0x7da28a63, 0xb12e384d, 0xc25d0307, 0xaddafdc3,
+    0xd8e05ae5, 0xfc9d4412, 0x6303a9c5, 0x961b0dea, 0xfd748acc, 0xf0e9c707, 0x0519a7ca, 0x76b50b46,
+    0xdbca1714, 0xd7a39965, 0x823bab40, 0x4723bedd, 0xfbbdb07e, 0xb942a6c2, 0xba441362, 0xfaf13d65,
+    0x804c2a2d, 0xaa4bdc52, 0x756fae0f, 0x5a80f7af, 0xf0cb5323, 0x930b615d, 0x4d0484ef, 0x12b5cc2b,
+    0x1b5c5b46, 0xd236609e, 0x36f8a20a, 0x2bfa8586, 0x2223c176, 0x02c9bca1, 0xc813fb12, 0xfcf3ea4c,
+    0xb3cb3c29, 0xab0f6c25, 0x77662e88, 0x3e63b715, 0xad98e1d3, 0x90a2c13e, 0x3e0c37ed, 0xaeefff96,
+    0x599a0b17, 0x7b3941fe, 0x3b6e8ab4, 0x199da869, 0x4859552a, 0xe15e3adb, 0xff1dd911, 0xb87eab92,
+    0x128fbcf6, 0x0876be65, 0x788ae7fc, 0xd60a9055, 0x84d8071b, 0x26e86ea9, 0x51303f3e, 0x9ec20c39,
+    0xe2315b72, 0x8d1b0368, 0xafc861d7, 0xdf244bf1, 0xd6726678, 0xd49e906a, 0x86e46b3c, 0x18465fee,
+    0xbfeccf2a, 0x2f864ef2, 0xfa550d2d, 0x4ee564da, 0xbe379177, 0xb39ef8c3, 0x895e6cbf, 0x71f27067,
+    0x57d94165, 0xe4489c50, 0xdf390387, 0xcdf223b8, 0xb3549123, 0xadebbe9e, 0x91b6bb4d, 0x83fa76e3,
+    0x7ad7c5e5, 0xc49ed506, 0x48c3fdc4, 0xbab563ab, 0x16668e2f, 0xe06d457f, 0x69cbd915, 0x4ed42002,
+    0x3fa39c5c, 0x75ca09b4, 0x4a22640f, 0xdbb11b2f, 0xf3196872, 0xf07eb506, 0xe90aab0e, 0xcdb27f23,
+    0xac19b61d, 0xff8e7f8d, 0xe12645f2, 0x5dcbd9a4, 0xd6488b31, 0xa2f27e9f, 0xc9722aff, 0xd20a4063,
+    0x2010ea29, 0x395c2b83, 0xbc15759b, 0xe4a38502, 0xb9a0a46c, 0xc251aa30, 0x64e5ceac, 0x0e6b719b,
+    0x83453cce, 0x0fd04bf5, 0x17095627, 0x5c173e7d, 0x23878f99, 0x49aa4ca7, 0x88e9ba2e, 0x9d2a9028,
+    0x5d1a7b12, 0x827e7f8c, 0xe4d9c670, 0xf0b810fa, 0xe5d58941, 0x39044771, 0xfea11b35, 0xd94c878a,
+    0xf944c9ca, 0xbbb8171c, 0x54ab565c, 0x173a53bb, 0xc34e47f7, 0xe8ee1706, 0x55065ccb, 0xdfd53618,
+    0x6d2fdd64, 0x309047fa, 0x7313c7c5, 0x6fb56e5a, 0xab02fbbb, 0xac4977fb, 0x513220c2, 0x04a6cd36,
+    0x71bb6b81, 0xa6317b27, 0xc0661bb2, 0x68d427ab, 0xe8e61a06, 0x407a50be, 0x785bf67a, 0x0f69796c,
+    0x190ac4fd, 0xc824d6f9, 0xf14ef731, 0x857137f6, 0x77f34d4e, 0xbf4484e8, 0xcbf114e4, 0xb3ef3834,
+    0x90c45196, 0xbb8b4427, 0x676bb2cb, 0x0ccb4f3b, 0x814dcb80, 0x69670498, 0xb2bcd807, 0x91297a49,
+    0xa16b7532, 0xd9c89db2, 0x8e43cbfe, 0x3cefe7a8, 0x2a6524f0, 0x5bf216f2, 0x171736fe, 0xe3bcf3dd,
+    0xa5552646, 0xd734a8a7, 0x365c3d70, 0x32191ff2, 0xe88f9adc, 0xcfa93afd, 0xaa5e6a16, 0xea6f961c,
+    0x37074b25, 0x1a6bc24d, 0x2dc532da, 0x6f989569, 0xf438faf0, 0x1b0c1f5c, 0xd4299f88, 0x384a72c3,
+    0xc0c80dd7, 0x17940ebf, 0xeeb161ef, 0xd0ae5007, 0x5652c4a8, 0x796897f5, 0xd36b0e9d, 0xe4556f66,
+    0xaa48a28c, 0x41c328b3, 0x31e7faba, 0xe07b978c, 0xdfaf1872, 0x83819d6a, 0x43855ee5, 0x3aa24d52,
+    0x09ec5000, 0x93ca8a5b, 0x8019f429, 0x7f4cfd9e, 0x596a69cc, 0x4fcfa5b3, 0x14f515b4, 0xc6442aba,
+    0x781a486a, 0x7f1cfd6d, 0x774055a1, 0x63da0d84, 0x32b16268, 0x5507b651, 0x0a714b2f, 0x02bca65a,
+    0xb8cad5bd, 0x13dce90e, 0xfedb5bc0, 0x6de5c9cf, 0x20630dfa, 0x27c286c7, 0x6dc8cc26, 0x2f8d1d88,
+    0x654d5ee2, 0xcad701ee, 0xea699a51, 0x643f214e, 0xbd183205, 0x59f300cf, 0xcd340a7a, 0x9f33d631,
+    0xf5869f27, 0xec848610, 0xc55052f6, 0x3fa2b042, 0x9a74168e, 0x0bcc2087, 0xb2af4a9c, 0x56ad77ae,
+    0x0e1a52ef, 0x0ce64d01, 0x44bf489b, 0xbfcca021, 0x8c927b73, 0x2b6d7c21, 0x4b4744c1, 0x247cd873,
+    0x762ce0d0, 0x65257a0c, 0xc7a6ff2b, 0xcc4f697f, 0x66057b09, 0xa5d5c7be, 0x48371b97, 0x3bddb18f,
+    0x40d62a1e, 0x9288501c, 0x3e5fd73b, 0xdef11220, 0x334452ea, 0x6a97d4ed, 0x833b8375, 0xb7979328,
+    0x530dd373, 0xafaeb1c1, 0x02968aff, 0xae40e494, 0xd94765ae, 0x09b7b3fe, 0xdfdf55d5, 0x2f8331b0,
+    0xd2357da0, 0x84d770b2, 0x07da7ebd, 0x36d46285, 0xb703285e, 0xd1a368fd, 0xb74714d5, 0x7d483294,
+    0xd33f8b5e, 0xfc8a7644, 0x83904a5a, 0x4c97c526, 0x86e140b2, 0xf2b7cf12, 0x2896d429, 0xf112ecb5,
+    0xb763681e, 0x6f62ebef, 0x4735f3cd, 0x9ffdee19, 0xc7471efe, 0xcbbc4bf9, 0x0e45ae68, 0xbd4c6de2,
+    0x429db060, 0xbd4df40e, 0x1a7ccfb2, 0x101a2741, 0x542fa18f, 0x8c137729, 0xfb655b6a, 0x878c9966,
+    0xfcea2a21, 0x4aaf2013, 0x06d4fd50, 0x648445be, 0x54981afc, 0x17c7b369, 0xbc484eb3, 0xa7e473f0,
+    0xb1de3129, 0xdcf94915, 0x5afb3519, 0xed4238ae, 0xdb39d00d, 0x6db0230d, 0x18465501, 0xc6a77b0c,
+    0x38b49f5c, 0x7d81e419, 0x921043fa, 0xe2df20b4, 0x4c36e95d, 0x54c7bd49, 0xda498a87, 0xa7dc3a17,
+    0x75cf1d46, 0x9ba21fdb, 0x4238d578, 0x39633dae, 0xd3eea53b, 0x1cceb722, 0x6d638e1d, 0xfb4a88c1,
+    0x00000000,
+    0x2f346e2a, 0x035269e1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000072057594037927936 */
+  { 0x00000000,
+    0x19720f87, 0xc4823d5f, 0x465d56c9, 0xf3dcdf4d, 0x97f78677, 0x1528d64a, 0xdaba2cc6, 0x98291fcf,
+    0xee7dc614, 0x3e9ed4a2, 0xff14819a, 0x4314773b, 0x51c5b0c2, 0xdfa0801c, 0x9df2e52a, 0x81673858,
+    0x311640a5, 0x69a6057b, 0x4bc8719a, 0x493a21bb, 0xc7c2837a, 0x9d3b1b1a, 0x9e3495da, 0x0288dd45,
+    0xeb7827bb, 0x88c13b6d, 0xc97a230e, 0x89872a0c, 0x69f904d9, 0x0d0bfb54, 0xf72cc883, 0xd51ac585,
+    0xdd62bfe3, 0xf123af2d, 0x7de05f7a, 0x44c8b597, 0x38cb08e6, 0x8b5baa63, 0x53645806, 0x5fc8e655,
+    0x6d74e191, 0x6b231fac, 0x47a608c7, 0x7654c247, 0xa6a47fa2, 0x748d551f, 0x932496ea, 0x45642f28,
+    0xf06566ce, 0xf643cea8, 0x0bd32e4a, 0x49ca8d21, 0xaf1beec5, 0x77a3bf6d, 0xd2090678, 0xbfc93741,
+    0xd97ac9f9, 0xddbc76ea, 0x9ad0894d, 0xb0f78cc7, 0xad4d226b, 0x2da00431, 0xdbc236ca, 0x480861a6,
+    0x97ec2bab, 0x4b1c8678, 0xfbd81fa8, 0xeba4bd75, 0xa4492954, 0xbc2aad1f, 0xc374b82d, 0x24df2dfd,
+    0xb11d0831, 0x058f863a, 0xd58d6b39, 0x3b1f3073, 0x9cfd29a5, 0x2bb7552c, 0x3c1874a2, 0xb3201bc6,
+    0x7bd67d86, 0x27453677, 0x8e7c507e, 0x294cc0c0, 0x38b6c6f0, 0xe2e1dcb1, 0x9f9ff09b, 0xf2364e1b,
+    0xc0ea215a, 0xc7fec066, 0xfd056cb8, 0xcafbe3c8, 0xdef5c53f, 0x001e8b9e, 0xf30efc44, 0x04778c37,
+    0x6d8071a0, 0x7195fa9c, 0xa0574fa5, 0xe72b65bb, 0x5ee877ac, 0x95c3d2bd, 0xfcbe75f4, 0x19a3a764,
+    0xe0b1064f, 0x7cd3537c, 0xc305aae7, 0xd3d2d60f, 0x909047f5, 0xb9a77a5e, 0x7eea1175, 0xabe3e956,
+    0x5568576f, 0x408ddcdc, 0x81a283f8, 0x4ea98ebf, 0x15e9f7f0, 0x960935a4, 0xba4cd567, 0xea10d48f,
+    0x256df087, 0xd5e4ccab, 0xd6ba2e88, 0x01bf718e, 0x155c6fcf, 0x87556e4c, 0xb7bcd2d9, 0x76fda5ae,
+    0x79deb021, 0x7033dcb4, 0x25ffa349, 0xedcb52a2, 0x7014b903, 0xd6db47d3, 0x521502cd, 0xacd5073c,
+    0xb7293075, 0x81e778fb, 0x8ebe8116, 0x355bb715, 0xae0c2283, 0x04d544a5, 0xc3f24647, 0xadfb5d2d,
+    0x0e67fde8, 0xb7f90f6a, 0xdcd5f8bf, 0x040af443, 0x22551f2f, 0x8cc5656b, 0x1921f9bf, 0x8b565488,
+    0x8869c5bd, 0x3b51bdb4, 0x277abafe, 0xab5694c1, 0xf654427a, 0x314231b4, 0x88a89461, 0xbc6bb008,
+    0x62ada2b3, 0x7675dfc5, 0xadabb3aa, 0xd439fe28, 0x763775f5, 0x15e2b218, 0x115c7d17, 0x72654da0,
+    0xfec205e2, 0x41062c55, 0xab291367, 0x0126bc14, 0xdef8065d, 0x5304384d, 0xef6c93e1, 0x35f77a04,
+    0xb96394f3, 0x61406f4a, 0x202b1cec, 0x4d0822c0, 0x76f7af51, 0xda0cc959, 0xd7d9e8c9, 0x310327bf,
+    0xd4c92e1b, 0xe5a4f57d, 0xb3dc584b, 0x8c6b6691, 0xb7163ea8, 0xb615f669, 0xd5969992, 0xbf6076d6,
+    0x30ecaba1, 0x0238a9ae, 0x9d2f53de, 0x4b86ec45, 0x85002ea8, 0x021a0f78, 0x0f7a5509, 0xbf5469e1,
+    0x58291d7c, 0xc2e3011b, 0xf8c640db, 0x70984cdc, 0xe7cad4b8, 0x86e4235f, 0xa8058cd5, 0xd8a17c78,
+    0xafa09744, 0x8a495c40, 0x94cf422d, 0xb17ade9e, 0x57619d0f, 0x39c82338, 0x72c0a2fa, 0xc90896ee,
+    0x7d9588bb, 0x3fefb1c0, 0x06eae961, 0x95244dfb, 0x6773fcab, 0xdff87fa0, 0x16c97360, 0x4b40214b,
+    0x68a34778, 0x551cb333, 0x6e3a40af, 0x7c20abb5, 0x91def3dc, 0xcad1a56d, 0xe0be60f1, 0x7814a5f5,
+    0x85a46c7b, 0xdf9c3579, 0x0bfec498, 0x1295b18a, 0xd6393c24, 0x4a09d32a, 0x9e2a3668, 0x225bca3c,
+    0xe9a6bcc6, 0x64e35edf, 0x7d87c0a8, 0xf41c2a4c, 0x0d9d29ac, 0xe82277e3, 0xd8a8aa54, 0xefbefa8f,
+    0xd524dd62, 0x307a68e8, 0xb3a956c6, 0x93f64d05, 0xd0ea9d7a, 0x42f8add9, 0x59b1ce98, 0xd2237594,
+    0x235639d4, 0xba2828f4, 0x7988701b, 0xa7d9974c, 0x91443aab, 0xb31a82c2, 0x937fccba, 0x37ebdb8f,
+    0x7e9e4a3c, 0x9d62b376, 0x58c2debf, 0x8f78d3be, 0xf0acd416, 0xf52c6dc3, 0xf4853204, 0xc96d9223,
+    0xf18bc769, 0x408d71b4, 0x7fdb3b6a, 0x11c2f645, 0x341cd0ce, 0x858f2936, 0x50d43401, 0x56c80277,
+    0xe1476e96, 0x80dab259, 0x83160aae, 0x24230fec, 0x619fa558, 0x271dde16, 0x85518b6f, 0xd81206e0,
+    0x62543894, 0xcf63aaba, 0xf2738c61, 0xaa5ded0f, 0x9b6425cc, 0x5da562a5, 0xd0af4ed2, 0x0e84a4bd,
+    0x84a04720, 0x52931bea, 0x3036d8f9, 0x8fad05a8, 0xb95aedc5, 0x12ea8ed9, 0xbac447fc, 0xb522cfab,
+    0xdf76d42d, 0x13c075a5, 0x1925abde, 0x35e6d624, 0x1dd026de, 0xf8efa13c, 0x26a208fc, 0xae73416a,
+    0xcb0ae7d5, 0xec8a317b, 0x640f337e, 0xc23f9cfe, 0x106a199f, 0xa8fa5905, 0x5ac8fc1d, 0xd148c286,
+    0x20b9eead, 0x15511186, 0x6553c63c, 0xbe3a0d7f, 0x5b7051f9, 0x2c071ab1, 0x658ff30a, 0x4bcdde3d,
+    0x6d076752, 0x41ab71ef, 0x70b70825, 0xe158a818, 0x3e367ef4, 0x41cccaf8, 0xd5e95691, 0x10154951,
+    0x39649808, 0x236b024d, 0x5b784889, 0x960a8082, 0x9281107d, 0x2ea6f91c, 0x053ad031, 0xf25ea170,
+    0x8130a3ef, 0x17f2dfdb, 0xace6e22c, 0x21b40757, 0x2b897a63, 0x8b8cef47, 0xed99ef89, 0x76d1c235,
+    0xefc71dc0, 0x6d834b23, 0x699982fd, 0xa4ec453a, 0x5c75df36, 0x7c1c6ecc, 0x64bcd317, 0x4ddcafe1,
+    0xfe6c24d7, 0xcb842941, 0xe3ce0c8f, 0x735a57a3, 0x4062016c, 0x7d4484c9, 0x32c3ad04, 0x9e1c1259,
+    0xd11cffbd, 0xf9d84030, 0x24e5f5f2, 0x16bc5d02, 0x2fcc3d34, 0xb5db1c50, 0xd073200b, 0x41b72fee,
+    0xba8471d5, 0x0b4a50df, 0xd49732bf, 0xd9f32b87, 0x1b76ac53, 0x66ba49e3, 0x067bcd8a, 0xe006a8c2,
+    0x8a2e19ea, 0x2679ec92, 0xe187efcf, 0xda2a9cb8, 0x6802dcd7, 0x15d84361, 0xb866d1dd, 0xfcd8d4ae,
+    0x8deeed25, 0xfaf4d94b, 0x6b836940, 0x229b7f65, 0xcfc7404c, 0xd9696f5d, 0x94283d03, 0x41c079d9,
+    0x830ac305, 0x5bf89407, 0xbc375530, 0x3efa4b04, 0x1b113144, 0x559db842, 0x0519c748, 0xaf357af7,
+    0x5df260ca, 0x3242461e, 0x652c5701, 0xfd4ce755, 0x9fa8c2ff, 0x2e3d23e6, 0x337e676c, 0x1fd2201f,
+    0x005999af, 0xa47f14f6, 0xf7ada402, 0xbecf98cc, 0x9324ba8a, 0x53064ac7, 0x40dabbbb, 0x84935fc4,
+    0x9448803c, 0xafc477b3, 0xb2c0908f, 0x8214f508, 0x6c4b2b8d, 0x35c53af7, 0x524f9bda, 0xe001d245,
+    0xbc35c827, 0x4ca4f5f9, 0x3f1138e7, 0xe5a7ead4, 0x9be46dc8, 0xfc4452c9, 0x2e0e69b2, 0xde7105e2,
+    0x93378cf2, 0xc5e9dc87, 0x15873a44, 0xe2a78be3, 0xe726e781, 0x3d3eea66, 0x72185eb3, 0x90433430,
+    0xafdd33d6, 0x0b5787db, 0x96f149f1, 0x860a0c4c, 0xf8584ff2, 0xd28b6b42, 0xa58b953b, 0x45465130,
+    0xede88630, 0x8f36a22f, 0x9e04b3ac, 0x38bb41c2, 0x5c1ccadc, 0x52ccf4e5, 0x4ea7b08f, 0xdf9f9420,
+    0x792f3405, 0x920a4d22, 0xa5d1ec6f, 0xc74e3c18, 0x46d4c8d1, 0x0bb1049f, 0xd059a51d, 0xc063bd06,
+    0x227b6b67, 0xf2dac062, 0xa1da91e1, 0x1e767e1a, 0xe3d34bb8, 0x3794086b, 0x36508ad1, 0x0a4d0014,
+    0x222fa366, 0xfa38779e, 0x0fd73c0d, 0x94ad66b9, 0x23358ed5, 0x7c224d15, 0x8af9080c, 0xd0ea3f2e,
+    0x1d946e37, 0xc6d73eee, 0x1bf42772, 0xecb646a8, 0x437ff0b6, 0x0bd9d7dd, 0xb1a05cbc, 0x0fa3f9dd,
+    0x7da3970c, 0xfb46a8b0, 0x5723b1b5, 0xcbb018ea, 0x5d72836b, 0x70340582, 0x65b12445, 0x3fd96a88,
+    0xccf344bb, 0x872e9fc7, 0x99630dba, 0xd99cc34c, 0x73180916, 0xe2caeaaf, 0xbb36cd45, 0x14c0a876,
+    0xfdc14933, 0x9aa90425, 0xf139e2dd, 0x8d64e023, 0xcfd39128, 0x8bae54b4, 0xd278c048, 0xad0d0b0c,
+    0x15313b75, 0x23772c64, 0xcc465664, 0xe76528e7, 0x7e65a6c0, 0x5c59d4c6, 0xc4cfd857, 0xa9d6efd6,
+    0x7f4a77be, 0x62e859bd, 0xefcfff1a, 0x0eb74308, 0x9f85f406, 0xe4ffcb97, 0xac2339ea, 0x062d5f81,
+    0x5df2028a, 0x6905ddac, 0xcd655341, 0x1b409918, 0x0077d9f4, 0x20986984, 0x51af8a1f, 0xfa7c676e,
+    0x1cc3d902, 0x32a15782, 0x14e31501, 0x7912a448, 0xe1e7b34a, 0xe75dba57, 0xc7662ef5, 0xb17e02d6,
+    0x528d533e, 0x2cf99bf0, 0x3c29c1d7, 0x2246e531, 0x4256a81b, 0x1f99df3d, 0x51ed3394, 0xdf590313,
+    0xd5744641, 0xccb19bbb, 0x90166698, 0x78696631, 0xda57629d, 0x805bdc01, 0xbd2bb421, 0xd8860104,
+    0x2f910a78, 0xf7ebdb64, 0x7ce7dd56, 0x3fa23792, 0x9369fe1b, 0x7cd92adb, 0x54663fc9, 0x7733a42c,
+    0x351ce8f4, 0xd35493f4, 0x27702c10, 0x78438ab8, 0xd0caed68, 0x2e388481, 0xd7ff35bc, 0x05f1d1e2,
+    0xaf1cfde5, 0x8c5447ff, 0x32523e96, 0xc5ebec3b, 0x4ee36a76, 0x83faf3f9, 0xa589cf6c, 0xc9a27ec7,
+    0xb49772cd, 0xb92e456d, 0x658d6e72, 0x960acfff, 0x0b603ef5, 0x4f4eede6, 0xc1d524b8, 0xaa38d153,
+    0x278fda88, 0xe55e776b, 0x22e59f0a, 0x5ca224af, 0x726bc08a, 0xf21d5c3f, 0x82e7d22e, 0x62ede768,
+    0xf433c27f, 0xc6bb4a79, 0x16823e16, 0x154210c9, 0xabe49c07, 0xeb105c56, 0x16d27a26, 0xf56509f3,
+    0xbfb3e275, 0xe60be28f, 0x1cf6cad0, 0x34a2f804, 0xcbb32066, 0x0a5291ee, 0xab938b08, 0xf52488e2,
+    0xd0b931e7, 0xf7976966, 0x2a0480ec, 0xb4c76fe6, 0xdce898e9, 0x36640b06, 0x1e74f933, 0xa3188510,
+    0x6eaf84f5, 0x234143e5, 0x01ab8b9c, 0xb2670eba, 0x506588d1, 0x234ac6df, 0x1c462edd, 0xe673e9b6,
+    0x18d5d9a2, 0x33e8b929, 0x4e96aec8, 0x8f7ae8c1, 0x9425032e, 0xff7cad69, 0x13de4b81, 0xda84cb5e,
+    0x8bf56dfb, 0x4902ab77, 0xc7c374c2, 0x28fa347e, 0x88ed601d, 0x7b76bf79, 0x16f48de4, 0xa524c7eb,
+    0x923df606, 0x4bf32530, 0xc2c19af0, 0x68e2b3ac, 0x97f4cf0f, 0xf9cf8127, 0x32d80934, 0x610bfd09,
+    0x4205f2be, 0x836d8b81, 0x072015bf, 0x55304d51, 0x991d9180, 0xabf0fc0d, 0x86c95429, 0x032d22b0,
+    0xa747100d, 0x1c877ba0, 0x5184add7, 0x212c5a62, 0xf26b21f7, 0x07b086fd, 0x04878286, 0x0b6c7dcf,
+    0x17f9dded, 0xa65a5031, 0xcf0e20b5, 0x14224a4c, 0xf1185aa4, 0x60605da6, 0x5143ddfd, 0xcd0d7660,
+    0x8995d16c, 0x35c14624, 0x63c93aaa, 0xb8088f8c, 0x4c116410, 0xe7ac0a8f, 0x262fd2c3, 0x574535c1,
+    0x2fe1003e, 0xe12a7588, 0x332a1466, 0x12756569, 0x97beae66, 0x0dc50fbf, 0xf73554de, 0xd7a9e9ad,
+    0x019667d9, 0x0be873c9, 0x16ff0155, 0x30adc872, 0x2ab62224, 0xc388bb80, 0x38868eaa, 0x5b7bdf1d,
+    0x8abcffe8, 0x3e0472b6, 0x9b63e629, 0x7aca1a05, 0x2bb0dbbd, 0x7f532733, 0x854dc201, 0x7e7d2b34,
+    0xff745345, 0x63d28237, 0xf037e85d, 0x299e80c2, 0xe3ae8448, 0xcfb87934, 0xa77917d2, 0x3722d349,
+    0xea90cfd0, 0x08826e14, 0x4fc2dd79, 0xe8eda480, 0xef59b853, 0x121ca07e, 0x128f305d, 0x9df96b76,
+    0xc3ffb845, 0xc2cec34b, 0x997cfa3c, 0xf1987f5d, 0x28ea9e6f, 0x2ccc09c3, 0x9f694c71, 0x2eecf3e7,
+    0x8185c81c, 0x70453d1f, 0xa6192f19, 0x7021937c, 0x89cfca5f, 0xa9ccf1eb, 0x8029b87f, 0x8736f63b,
+    0x52a6244b, 0x3a685ba4, 0xcb8fa1df, 0x2ea4f436, 0xcceef5ea, 0x285bf8a8, 0xb19adaae, 0xf6cd5f14,
+    0x7c3c6d8f, 0xa6e4ef83, 0x1ba9f2ff, 0xa6d8f668, 0xe70ad8f4, 0x90970008, 0xed45145e, 0xfaaf7cab,
+    0x821a67c5, 0xc8583488, 0xdbe7dff2, 0x63888b87, 0x632d1686, 0x6c5476c2, 0xbedc2fd1, 0x85d3b134,
+    0x1a3f98d9, 0x11324099, 0x8cb032c8, 0x3402f32e, 0x5f816f2b, 0x5a55569c, 0x4fd48762, 0x5ad7727c,
+    0xe074846b, 0x9602e2aa, 0x8fda86b7, 0x89331438, 0x7392c266, 0xad23fd3b, 0xb6732b17, 0x6d1f14ef,
+    0x40fe59fa, 0x124b7551, 0x40e35f3f, 0xd187ad68, 0x3f910b55, 0xab668681, 0xa703a2df, 0x7dbf95c8,
+    0x13d7d6ce, 0x1cc73605, 0x57f0dcb2, 0x7e73dd11, 0x0ff3a8db, 0x9db6052b, 0x5e36fe22, 0xfcfb6a70,
+    0x0990ad5b, 0x7237de48, 0xf87ebbcd, 0x331a288f, 0x19cbc862, 0x535f12a8, 0x593b13f8, 0x178f7d8b,
+    0xf5c2e5bf, 0x16f6e1a7, 0x3b438297, 0x59f72ebe, 0xe153c285, 0x6084c0f5, 0xcf1318e7, 0xccf2f1f1,
+    0xe3c0711f, 0x379e1494, 0x48967c50, 0x178aec0e, 0x22f08c93, 0xd9139312, 0x21cdf9e2, 0xaaea3b31,
+    0x414e636a, 0x8e8a685c, 0x377a58f3, 0x1d47b5c8, 0x4dbd6976, 0x2543e2c4, 0xa6136b77, 0x73a85679,
+    0x3cb95fcb, 0x51c90f30, 0xe4384d9c, 0x5316d538, 0xa24216d3, 0xabe03236, 0x46a82f9c, 0x730af434,
+    0x0247209a, 0x224c2f53, 0xb4f64fb6, 0x922af81f, 0x26029ee5, 0x61ac0e60, 0xd444e921, 0x7d137e3a,
+    0xd5ae9c01, 0xe9f27d80, 0x13ffad59, 0x4c7ff7d6, 0x5b033707, 0x5e0554e8, 0xc0538076, 0xfaaf0777,
+    0x0e157432, 0x28f8993f, 0xe9fb1057, 0xf44e5426, 0x2c3be3a9, 0x2335f421, 0x9c8107ee, 0xc0d0ae2b,
+    0x723bc5b6, 0xa0e2d088, 0x101aa6c2, 0x191f7550, 0x417a316e, 0x3d1c67a2, 0x6bd26a53, 0x3928f359,
+    0x0d675b78, 0x2de0dfc1, 0x8d9ba79a, 0x0e987e54, 0x66d777a7, 0x46949ca6, 0xe1f50624, 0x746e8e8a,
+    0x548581bb, 0x92e2a7d4, 0x220c287f, 0x6039774d, 0xeb041bc9, 0xc3c9976f, 0xcb843f73, 0x8aa24583,
+    0x5fdf9178, 0x9d390f1e, 0xf9b3d384, 0x2e76ade7, 0xf495e71e, 0xe6260e9e, 0xb1c95196, 0xeb456c10,
+    0x3de3dfaa, 0x53cbc375, 0xd6e7a28e, 0x8112622f, 0x56a08fc9, 0xaee4e1f9, 0x66fdaf5e, 0x30dcb1cd,
+    0xc4bb4e7b, 0x25115d6d, 0x5cfd18ac, 0x9abb95a7, 0xa62f3cc6, 0x4c886c93, 0xca68c4e6, 0xcc474725,
+    0x4328d755, 0x31b9090b, 0xac174afc, 0x9283c131, 0xcf6f9dfa, 0x2da70e76, 0xd2c8c61f, 0xc7e053ac,
+    0x946cca1a, 0x61cd0489, 0x51f6b7f0, 0xf55224d1, 0xfaa3ee7d, 0x3285e847, 0x3fddf3cd, 0x852e26c1,
+    0x7df9db91, 0x455deaff, 0x4ef3bd77, 0x695f8e96, 0x5b19d1d8, 0x6227dc7c, 0x42281b84, 0x0f04115a,
+    0xeace0a67, 0xa9d2ca29, 0x1a909b08, 0xe4ac6395, 0xe8a89676, 0xcd5ea2ff, 0xf394624f, 0xee3916ff,
+    0xac02cf36, 0xcf5c8e2a, 0xf52e9db0, 0xb805e95a, 0x1d23c31b, 0x6ea4c412, 0x7bfad8c0, 0xfcb22a09,
+    0x78363d68, 0xc43a67d0, 0xa2a5981e, 0x8fd4e51d, 0xfa07af97, 0xb954b234, 0x2b983416, 0x95c13747,
+    0x79216549, 0x08a30a35, 0x379524f8, 0x863d107a, 0x4da73081, 0xe41343e3, 0x203cedf6, 0xc9814a11,
+    0x2b13a103, 0x68f4facd, 0x988dbc26, 0x586f2a70, 0x13ce8588, 0x7a332fb7, 0x6d3141cc, 0x78b1be1c,
+    0xf6874bcc, 0x1c3abb38, 0x8106d6ca, 0x5593f45c, 0xe43fc44b, 0xa276f585, 0xfaf482dd, 0x51c061d1,
+    0xaf9d7c1c, 0xbbb922c4, 0xbcaed33a, 0x7059d3d2, 0x70551459, 0xb15c6a4e, 0x427c8e86, 0x3b9844c8,
+    0xcd570b0c, 0xd546f0c0, 0x3b1b798c, 0x74160272, 0xa4b8b0eb, 0x4bb55a50, 0x36a15076, 0xfda2783b,
+    0x00000000,
+    0x979a3714, 0x01a934f0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000036028797018963968 */
+  { 0x00000000,
+    0xdb843a39, 0xb1a859c7, 0x7b3e1784, 0x4ed8192a, 0x0eb2a595, 0x8cdb0c30, 0x993f7ff3, 0xe74f62eb,
+    0xcba4a125, 0x2fc7c282, 0xc752def4, 0x81b03d38, 0x256e3a08, 0x318cac07, 0x3e743aec, 0xd8b6ec55,
+    0xf10b2e4d, 0x6c9c9d37, 0x3970f2ad, 0xfd7eb02f, 0xeb93aff6, 0xbcc3a3f1, 0x2582ddbb, 0xc4fae262,
+    0x379744a3, 0x21f00ccc, 0xd414e89b, 0x10f53544, 0x3354e492, 0x5bf13187, 0x45f9fab7, 0x6704e5ad,
+    0xa5ef65f2, 0xe4d134b2, 0x0aaff7b7, 0x179e3969, 0xed20f1e0, 0x1f015915, 0xa4fcb3b8, 0x43fe2263,
+    0xf7549987, 0x23ad792e, 0xdd05507a, 0xdf65130e, 0x158a6a6d, 0x1f2a13c1, 0x867b207a, 0xa1898600,
+    0x5c81f4f1, 0x5f204a73, 0x38739688, 0x8f0cb31a, 0x1b4b4ca9, 0xa314d793, 0x6a444c96, 0x70c016d1,
+    0x736df564, 0xa6e79ec5, 0xbab9fe38, 0xcc5b043b, 0xd7bfb99a, 0x4c6a3814, 0x6250c93f, 0xd12458c6,
+    0x8cc6927f, 0xb6319b20, 0x7f656bbb, 0x5f6ae33d, 0x880c4986, 0x0827865b, 0xf6ac4f0c, 0xf413416c,
+    0xe8af1dc0, 0x98a56c08, 0xc492502e, 0x8765d717, 0xfdc8bc0c, 0x2b952076, 0xb0a9ade1, 0xec2dd4df,
+    0xfe303078, 0x38f02d96, 0x3fa0d1ba, 0x108d07b0, 0x37c415ca, 0x3aa92739, 0x77a990bc, 0x059e9460,
+    0x29c18148, 0x756c2798, 0xd74182b4, 0xc2166d5e, 0xeffa6641, 0xac1185a8, 0xe4079e01, 0xd441cf38,
+    0xbb49a786, 0xe0d5067b, 0x4bbade32, 0x8d7fee3c, 0xdc684ca5, 0xb4b1dc57, 0xe787d471, 0xd9bafce8,
+    0x9df20f40, 0xae46d9e4, 0x91b96a09, 0x49096569, 0x7409d60a, 0xf6ac8e8b, 0xdd493b59, 0x4e423d77,
+    0x1d87a11c, 0x30ab2bc4, 0x3dbbc2df, 0xd1dd5894, 0xd63e78c4, 0xac2f5d32, 0xe01bfbf3, 0x5de92725,
+    0xc0423d09, 0xdc60dad5, 0x3439e378, 0x773bb0b6, 0xb0754fe7, 0xb2bed831, 0x040fb585, 0x81e83503,
+    0x7417706d, 0x70ec5a0b, 0x878b2161, 0x63df30dd, 0x62da452f, 0xb99d1b1c, 0x426c3836, 0x3bdce848,
+    0xa9a762c2, 0xf8673989, 0xc9213d58, 0xcd57f285, 0x91ec571a, 0x55728fe4, 0x88b4ddeb, 0x3ff4a07b,
+    0xf4021e4f, 0x36a5ccbb, 0x960e193d, 0xa59f970d, 0xc5f5fc7d, 0xc0f2517a, 0xa553377b, 0x2b43b3f7,
+    0x7abf79c3, 0x2f42000b, 0x02dc557e, 0x8cc7d7ed, 0x3e2bb5b8, 0xd564f66b, 0xf303e4eb, 0xfca714f7,
+    0xbccbd6ac, 0x979f5564, 0xc966e6e5, 0x7ce1e1eb, 0xfdef2dac, 0x636ac980, 0xdf0dd3d4, 0x27c5492e,
+    0x8d614339, 0x2eb59cc0, 0x6340df31, 0x5ee7d553, 0x75fd3665, 0x7fc23bde, 0x704d73a9, 0xa8c18e82,
+    0x8d5ff036, 0xf8c5b939, 0xadb3256f, 0x25b78352, 0x060099e1, 0x1f618262, 0x356f4d04, 0x88b7bfd0,
+    0x822a4b5a, 0x34a0d28c, 0x7d7573e0, 0xcc52de59, 0x5fd046e3, 0x52c467f8, 0x082c1c16, 0x1bad5ef9,
+    0x846f87dd, 0x0101cca5, 0xb5b3357e, 0x2c14abe5, 0x638abaa9, 0xb1ee2b29, 0x01b19113, 0x562c94b4,
+    0xf768aa2a, 0x1ce7d856, 0x31a39d9b, 0xb32f00e9, 0x8e7f007c, 0x45c2e202, 0x287cc6e6, 0x021531f6,
+    0x652a683e, 0xee32f821, 0xfe2e2dad, 0xd49ceab5, 0xef90cf05, 0x815def9b, 0x71d1158c, 0x08402b62,
+    0xf973343d, 0x55e5cb1a, 0x6c57e60a, 0x3cb17198, 0xc7cf2036, 0x667c2936, 0xa7415393, 0xaccab64b,
+    0x52e9fe17, 0xa603107b, 0xf07f667e, 0x75ecccd1, 0x3ddf1376, 0x1a74b730, 0x67d5a784, 0x86969603,
+    0xb6d7e41e, 0xa0de57ab, 0x92f56f6c, 0x65724f81, 0xeb1268f5, 0xc723e31d, 0x74e8491c, 0xd8ebfcd5,
+    0xcc63955a, 0xa0a0327d, 0xf5da03c4, 0x2027378e, 0x4a4a85de, 0x1936b4fe, 0x238268d7, 0x2b302862,
+    0x9b29eae7, 0x25a5258b, 0x9ab17d2d, 0x10892cb2, 0xe28bc460, 0xbcb68bdb, 0x04c16f12, 0xdd261605,
+    0x71434a16, 0x16c74bd4, 0xb23c0e4a, 0x3c116155, 0x8ac73e2c, 0x8236c7c4, 0x668dc26a, 0xb59c4f9d,
+    0xcdf2ae16, 0x752e3b4d, 0xc94c202e, 0x8a3e4eac, 0x9e1f8d40, 0x603d1853, 0xfc9a0573, 0x35bd496e,
+    0x38e638c0, 0xd35f0e65, 0xe82bdb39, 0xfca1d2b9, 0x6e066b9f, 0xc3c74575, 0x88a29e71, 0xaa91bc72,
+    0xb0d96060, 0xb1964483, 0x461a325d, 0x059faa2f, 0x73a0d703, 0x3c0b6ab9, 0x319f78dd, 0x987e89e5,
+    0xe312c232, 0xfb50f728, 0x3b0033cc, 0x5619e64a, 0xd4f6719c, 0xf1ecca75, 0x5360775b, 0x7b35f604,
+    0x13ecd2ee, 0xcea514da, 0x87d2e208, 0x058005b0, 0xcafdab1d, 0x210a7b73, 0xe9e46437, 0x2fd214fa,
+    0xd550752b, 0x387a99ff, 0xea900dec, 0xc9905efe, 0x6c00092c, 0x813c7c3c, 0xfc5b8b9c, 0x04d5707d,
+    0x8002ea0f, 0x7debb162, 0x5e59c491, 0xff61d234, 0x24b7ceb4, 0xd621e10c, 0x4a12a91c, 0xe26724d1,
+    0x741abb29, 0xef72c6b7, 0x1ebb5ad2, 0x5b16314c, 0xf12bf68d, 0x1af74c42, 0xb470ee88, 0x295a18b3,
+    0x136b776c, 0x5e22310f, 0x246d9cf2, 0x12ea706b, 0xce83aecf, 0x0fdf2dbd, 0x79722b53, 0x25b459ad,
+    0x6aef7981, 0x4cbbd651, 0x3dd74874, 0x95cd9eb6, 0x72b7dd57, 0x05eadfcc, 0xf8a01faa, 0x4e1f8180,
+    0x2abee1f9, 0x21bf0c0f, 0xb516f2f1, 0x739ee4ef, 0xa7aee935, 0x13908a8f, 0x5218ef32, 0xae668670,
+    0xb42cb8cc, 0x9edb82dd, 0x4a17b0d9, 0xb8abce00, 0x93873c28, 0x58a0f2c2, 0x43922287, 0x1f09379b,
+    0x5d026e2d, 0x919ab200, 0xf2da1e05, 0x71960686, 0x7bb1bf80, 0xbed2aee4, 0xa31deb4a, 0xf92a1a79,
+    0x10830f00, 0xe0962cc1, 0x21b520b1, 0x809d5966, 0x8cc09c01, 0xf0536d8e, 0xf0423246, 0xf04d1125,
+    0xbe5059b1, 0x0f822cd4, 0x71f8fcb1, 0x40c5ac12, 0x4b134afb, 0x82b2524a, 0xc879f05b, 0xa3e1218d,
+    0x06db8d96, 0x55024e54, 0xb606fdfe, 0xb6c20ef0, 0x699e9237, 0x74784247, 0xa4bbb75e, 0xb438feae,
+    0x0d1f1eb0, 0x7875b0f6, 0xdaedac07, 0xc003e550, 0x8fe4b7d2, 0x6d18f81a, 0xcf7e4e02, 0x5fe7b7eb,
+    0x80a22554, 0xdbfd9360, 0xa91ea3f6, 0x6f365a86, 0x3bfcd4bd, 0x71c2e2d7, 0xc5348ce6, 0x71499653,
+    0xf8c56fe4, 0x50dcf210, 0x48ca3163, 0x67c9face, 0x9b2d27e9, 0x82333dfe, 0x03b1252b, 0x938877b9,
+    0x07944783, 0xfa74ed88, 0x4bce2a74, 0x143c0af5, 0x00610f5c, 0xc546892a, 0xf351c569, 0x6e3ffdae,
+    0xc948274f, 0x7d3cd16d, 0x267e1d3e, 0x80d7db92, 0x2d41c451, 0x88a91699, 0x4191b977, 0xc0bba35f,
+    0xb708f08f, 0x93d2de9f, 0xf958add1, 0xb6c239e6, 0xb5f5644d, 0x5f5140ef, 0x1fc8a8e2, 0x487b48e9,
+    0xce6ca18a, 0xfe232cee, 0x59973c0e, 0xc8d1a583, 0xe05b66ba, 0x47d1e95b, 0xe7cb5398, 0x3da57ac6,
+    0x6e79ed77, 0xd21d0a3c, 0x38300ee3, 0x9c46020a, 0xc9c18f45, 0x78231ea3, 0xd06647f8, 0xb6e9b5cb,
+    0x04375977, 0xf39dbe9a, 0x54685e3f, 0x2410d408, 0x5433d392, 0xd5c1a58c, 0x00094f14, 0xf79ec57e,
+    0x7392a524, 0x3d3ca0dc, 0x69373200, 0xc2409884, 0x9eb11c62, 0x263173de, 0x5220bf09, 0xeaacf5cc,
+    0xe4d94f9a, 0x6e90452d, 0x3cf23e94, 0xdc184002, 0xd80d1cac, 0x6077aa81, 0x45e06cea, 0xe5921382,
+    0x2e3eedc5, 0xdcb433e1, 0x3f5fbf8e, 0x833805e0, 0xc09708ab, 0xf96300cd, 0x6d6e3f83, 0x1d749d03,
+    0xf9ab3bab, 0xf0d0e5e7, 0xb474b5be, 0x4865ce8d, 0x890509e7, 0x359429f5, 0xc505c148, 0x461ee19e,
+    0x74b65385, 0xda72b0df, 0x6b2b8ca8, 0xb5b50b1e, 0x6d2fdd3b, 0x4982a60d, 0x2c79a69c, 0xbf8ddc7e,
+    0xd988f2ab, 0xc30e8288, 0xefd8d102, 0x97de853a, 0xb3254c81, 0x3f6165f5, 0xa0800fd7, 0x0286f27e,
+    0x7ea0e425, 0x3164145b, 0x41c10039, 0xd6e34248, 0xa6309a8f, 0xdd9f5303, 0x5949cf75, 0xab845652,
+    0xa931678c, 0x90d0d779, 0x334ca1da, 0x1757f740, 0x77887a15, 0x1c16a9b2, 0xe90cbffd, 0xc63b518e,
+    0x4d65f723, 0x8d634d0d, 0x685d3a19, 0xaf3a68fd, 0x6df1f99e, 0x8bfdce59, 0x30b8898c, 0x3542ef18,
+    0xff4e34c4, 0x39d6d525, 0x9b38ca0f, 0xdf0083ad, 0xf35f0318, 0x4e3cf7a4, 0x6925823c, 0x0990073b,
+    0xa196ebaf, 0xa1d7d0d2, 0x7cb8d279, 0xde21eea7, 0xe2cc7209, 0x1d3ccb88, 0xdc47bee8, 0xbf272c32,
+    0xae7d225d, 0x47577382, 0x233a1cc5, 0x4fdfbd4c, 0x0114f0ed, 0x54b059e5, 0x9b975c3a, 0x2a013529,
+    0xb14c6fa9, 0x8213d4d4, 0x08f23de2, 0xdbc6de1f, 0x99294a84, 0x268aa20d, 0x8b46b544, 0x862addcf,
+    0x411350ae, 0xcbf9e81a, 0x77f86103, 0x3fc950c2, 0x7958ded6, 0x033e83f2, 0xfd2880bd, 0xae23b8c3,
+    0x85b75b08, 0x5155692d, 0xc1e18d9b, 0x4f92dfd2, 0x4d92e503, 0xa7f9baa8, 0x0a9946e6, 0x7f2b3217,
+    0xc4b98ad3, 0xe4eb34e8, 0xd112fdc2, 0xfec61bfe, 0xdebc3c9b, 0xf6e07a14, 0xa2b46ab1, 0xcaf2d0b9,
+    0x54269a49, 0x10dc5894, 0xaca16ed8, 0x1309c3a7, 0xe370bc04, 0x6b53dcff, 0x40ad15b1, 0x798eea72,
+    0x80dd250f, 0x729fdd37, 0x4b9e38c9, 0x408b2f0d, 0x4fbc18d0, 0xa09db586, 0xf5a4c740, 0x42b70aad,
+    0x96375c79, 0xc95fa82d, 0xaecc1f50, 0x6829dc2f, 0xbc5d69a0, 0xbc16f153, 0xa27734f8, 0xa45c5473,
+    0x32c978a6, 0xa387813a, 0xf2e7c377, 0x55af6517, 0x94529763, 0x2899a65f, 0x93d931b1, 0x5953638e,
+    0x4ee81566, 0x880f3afb, 0x8e4a85d8, 0x0ce38239, 0xcbb8871c, 0x2a658b6e, 0x22caceee, 0xd60787fa,
+    0xf441a769, 0x3c57736c, 0x246ea231, 0x2f998a49, 0x37b86d88, 0xaad05f0d, 0xffcd802a, 0x6a41d6ed,
+    0x9f9e2dae, 0xa40a4eff, 0xffdd568e, 0x200d3d0b, 0xc403061a, 0xff31a457, 0x56a45b53, 0x9c402298,
+    0x701621be, 0x0453ff2c, 0xb93930bd, 0xd7d387c6, 0x1643dde4, 0x9c63ed5c, 0x65464e9e, 0xd0e8729f,
+    0x4607ac8f, 0xc10160b5, 0x6e7bda4c, 0xc0c14b53, 0x1901897a, 0xdce082f3, 0x1e27f753, 0x0fed7272,
+    0x747d8eab, 0x4c8c5c9b, 0x766b2a0d, 0x9a284ffe, 0x60b521cb, 0xbf9a1773, 0x675a5dd2, 0xc65d0242,
+    0x98c56bde, 0x2d241d1f, 0x199ac4a4, 0xd2eb8b7f, 0xd05839ce, 0x878dd358, 0xbadc3330, 0xe2a99bcf,
+    0x73116f42, 0x075f4295, 0x6b09423f, 0x8f0efe54, 0xf0b3ead7, 0xa7d2ae19, 0x7ba4f206, 0x6810c371,
+    0x38074d6a, 0x1b0f8c23, 0xebfeda30, 0xbd172a45, 0x9e3cf980, 0xb5cf27d8, 0x0d88336a, 0xc5476a1c,
+    0x79501052, 0x60a885b4, 0x384757f0, 0xe01c4e71, 0x853838c8, 0x08aa51a0, 0xd08ac869, 0x2c84e990,
+    0x89386428, 0x69a2db5d, 0x1ea91315, 0xa87a770f, 0xee7ef56b, 0xe2bb9de2, 0xf8b80776, 0x307e8273,
+    0xe6d04577, 0x6d62cabc, 0xae09d880, 0xa9ad1951, 0xd4126111, 0x387b7d18, 0x99b71c03, 0x60fb550c,
+    0x5b6ed30f, 0x8f365c31, 0xbba7f65f, 0xf46ab137, 0x0da87523, 0x9a8fa174, 0x712d9cc3, 0xf894858d,
+    0x1e2242d2, 0x6995be75, 0xd432503b, 0xd04e5cca, 0xec62ea87, 0x66ba3137, 0x2997598f, 0x133a37b4,
+    0x27a5e4d6, 0x46f9b507, 0xef7b36fe, 0x4820a2fe, 0x71817893, 0xe3f4802a, 0x90be819c, 0x68f37af5,
+    0xc6ffb794, 0x42d480f4, 0xdb08e08b, 0x1d54352b, 0x072790bc, 0xd20bd867, 0xb2322d8e, 0x3eeade4d,
+    0x21636bd8, 0xe0dbdb2b, 0x1ecca69c, 0xb836f254, 0x7ad0cc72, 0xaa29b8af, 0xddff15fc, 0x32daaabf,
+    0x0df0eed8, 0x432e0b4e, 0x785a7dd2, 0x515889b7, 0x3cd2a29e, 0x5eb2ec68, 0x38a99723, 0x2298f49f,
+    0x86951f27, 0x551a7cdd, 0x94e7fd96, 0xd4f66b95, 0x7556ecfc, 0xdd357d5c, 0xefddaeac, 0xb5adb13d,
+    0xfd6a3c57, 0x46b0e3a2, 0x5f1bcd9b, 0xa2237017, 0x27f13652, 0xe33db072, 0x2832dd62, 0x814a1e54,
+    0x50a8c4a0, 0x51070a1d, 0xc935a4fa, 0x53fd2a0d, 0x6e7803c7, 0x9e90115b, 0xb7ba1b70, 0x7c8ba890,
+    0x68188d9b, 0x93a67592, 0x994a2e89, 0x0106d3ce, 0xe9011777, 0x259562ed, 0x51b5bf3c, 0x0cc752ea,
+    0x01727947, 0x911037dc, 0x2e4d7acc, 0xf5f24805, 0x48462058, 0x621a6fad, 0x836a19f9, 0x368885f4,
+    0x40da40dc, 0xc6e51e23, 0xfe28af8a, 0xcc381eeb, 0x73798d16, 0xf9d7d9f7, 0x7efb2fae, 0x783c8632,
+    0x1201654f, 0x8362b52e, 0xd20f3f95, 0x3150bfef, 0x084251be, 0x66c485b7, 0xac1de643, 0x29c1fef4,
+    0x4dc24892, 0x7a198070, 0x11ef0637, 0xef3c921e, 0x732b882b, 0xd2cad40f, 0x64041d9a, 0xb0513d5f,
+    0xe717ac34, 0x538822b3, 0x7e2a1669, 0x6830d316, 0x2e79806e, 0xc2bd9e89, 0x70d95a14, 0xb4c544ad,
+    0x5f742837, 0x9c3e26fc, 0xbc4ddcfa, 0x4db037b9, 0xae57901b, 0x3959cf8e, 0xd45f4b04, 0x8fa017d6,
+    0xab0c8520, 0x115dcf77, 0xb447d712, 0xefbed853, 0xff99d75e, 0x24cd9014, 0x10fb74c5, 0xe05ae430,
+    0x022d7ab8, 0x89122a75, 0x1f387e82, 0x8cce5d59, 0x7221b296, 0x3970d734, 0x747a09b6, 0x702c7489,
+    0x7a1f2ebd, 0x78e2edcd, 0xebddc3b9, 0x786e120c, 0xadebb0ed, 0x0a2c200c, 0xc3b57e5f, 0x209ebcda,
+    0x3a429911, 0x5d363898, 0xf49747c5, 0x48983b50, 0x5fa7bfae, 0x73da78f2, 0x834e330f, 0xadcb23a5,
+    0x13feaecb, 0x896a71ab, 0x0c7c58bc, 0xdca6737f, 0x2e48a31e, 0x7aea7d53, 0x36215961, 0x9bf96742,
+    0xd4a7e633, 0xaafa9147, 0x8f024738, 0x23951705, 0xd2ead479, 0xca008b29, 0x6b013585, 0x207d485f,
+    0xef5a978b, 0x88ead750, 0x13a9c081, 0x1eb5a5d6, 0x59879717, 0x0ac62bff, 0xe1352ecc, 0xba1d8f4d,
+    0x4c14a565, 0xfb012205, 0x3aa32e5f, 0xbab59dd3, 0xe77a1f0c, 0x060e2d72, 0xcbf2d2f3, 0x11ab2d34,
+    0x2afc17f0, 0x51e95b65, 0x5de04694, 0x2e429c3c, 0x623455a9, 0x1265f15a, 0xd9435127, 0x7ee2e3e2,
+    0xf89e4950, 0xd92eb053, 0xfad90f1b, 0x47a6b3c9, 0x0aed61cf, 0x4cbaa326, 0xab0c0f05, 0xeb20009b,
+    0x3652c193, 0x0fa35402, 0x0dffcb55, 0xb436466f, 0x531081dd, 0x0f9d839a, 0xbbaa5d12, 0x137b5050,
+    0x016e3aad, 0x36902954, 0x2c878e75, 0x76493926, 0x634b7db0, 0xbd858750, 0xd328f92b, 0x24ba7dbc,
+    0x820a7880, 0x4816202e, 0xf82f0e8b, 0xc3003568, 0xaef347a3, 0x73006373, 0x826847e8, 0x0b66048c,
+    0x672b4f57, 0x787facae, 0xc5b2daad, 0xe70777cf, 0x0359bfc2, 0x733d12f7, 0xe91d8e8c, 0xc2e1370d,
+    0x0164dbb1, 0x8750fc6a, 0xef06692f, 0xeccf3421, 0xefd7b97f, 0x3a842fce, 0x95aae96c, 0xb04e0b0c,
+    0x8d754695, 0x0fa39769, 0x010327cf, 0x0ee4dba7, 0xb24e528e, 0xcd7f36f5, 0xbcbb25a4, 0x9015e50a,
+    0x26979e5e, 0x0ba1df02, 0xf82830f8, 0x5d827814, 0xc27898b5, 0xbc20730a, 0x20152b2d, 0xc8719636,
+    0x181ad517, 0xa7faa552, 0x86a172e4, 0x01c70e8c, 0xbe2f0e6e, 0x8e8cfc3f, 0xfae50ffc, 0x59548399,
+    0xf8f1bed2, 0x4996824c, 0x0c542d4a, 0x5afe3f84, 0xb2e8229a, 0x5c9f8c62, 0xbf05a85e, 0x59c0a44f,
+    0xa0edbd1f, 0x169e262a, 0x3cb31514, 0xe4237d97, 0x1b289f6b, 0xa82ab123, 0x422d9b6a, 0xfed0883f,
+    0x00000000,
+    0x4bcd1b89, 0x00d49a78, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000018014398509481984 */
+  { 0x00000000,
+    0x448bbf03, 0xaf059cdd, 0x48596f25, 0x898312ef, 0xc789b339, 0xd126457d, 0xafb9f1fb, 0x67f53515,
+    0xba8194e8, 0xf7c2981c, 0x81afeb50, 0x0bcf8009, 0xd250d6b8, 0x70a0cc70, 0xdd9fb4fe, 0x8c6bb21e,
+    0xb9d519c1, 0xf4c9ec0b, 0xfbb67229, 0xb6ede177, 0x87e16a73, 0x723e23a5, 0x853f596f, 0xfc3d9de1,
+    0xe0c960c3, 0xc85e85ba, 0x927c2776, 0x9287867f, 0x5e5fc2eb, 0xb1a93c9d, 0x07ede54c, 0x3d20b7dd,
+    0x84d9d642, 0x98ac9ed7, 0xee1a42d1, 0xd5c2c514, 0xe637e1e1, 0xf941903a, 0x427603fd, 0x2eb42f2e,
+    0x3e80ee4e, 0x6fc8bf71, 0x782e29c7, 0x98abf735, 0xfb297a1d, 0xa0566cb2, 0xba729b11, 0x445afe30,
+    0x96bd6dba, 0xd2a6f386, 0x78cdc741, 0x14442642, 0x25eae287, 0xf5b97ab5, 0xd47e2460, 0xf781ef7f,
+    0x5c404918, 0x72050324, 0x7610c49c, 0x14737b92, 0xcd61a5d5, 0xd45a9932, 0xfc36e896, 0xee9dc01a,
+    0x12755635, 0xd3e6de3f, 0xef3b2323, 0x484131e1, 0xaec42ad8, 0x1984f64a, 0x87c8b49c, 0xb8dd23f3,
+    0xabae0e8b, 0x9c5f3077, 0x98374be8, 0xe130f66e, 0xaabc1fb4, 0x6de17f70, 0x6c17d3df, 0x1939a8fb,
+    0x25850b0a, 0x99e10f62, 0x65242daa, 0xe9812820, 0xb51fac00, 0x7a6d0582, 0xbc5032b8, 0xbfb08a5b,
+    0x0b5c3716, 0xfcc7955b, 0xcd8fcef4, 0xa06934c3, 0x21cd7bda, 0x1ab2db7b, 0xdf9924c0, 0xe0acf6cf,
+    0x37041a10, 0xc1270d89, 0x2b5c9ca4, 0x62709bf3, 0x2efcd689, 0x3ef1fcbb, 0xabcc03ad, 0x1d216a29,
+    0x20716c71, 0xf4b470d6, 0x882eb23e, 0xa8bee89b, 0x10c0129b, 0xd326e90e, 0xb83a9e9f, 0x1d00d28e,
+    0xc809708c, 0x9b197dd2, 0x4c4e7e3c, 0x0a6aaac0, 0x9405c999, 0xfc7869cb, 0x9012f6bd, 0xcbc327f4,
+    0xddee672d, 0x7035208a, 0xe8beef6e, 0xc891c324, 0xc877238b, 0x2c8a8574, 0xe5d8bac5, 0x2ae1e30f,
+    0x5881e796, 0x0deb7072, 0x15dd4716, 0xce02db4e, 0xdf5994a5, 0xf46ead42, 0x370326b4, 0x66339ccd,
+    0x87f97555, 0xf1892167, 0xedbdd55d, 0x13b43358, 0xb120a529, 0x67d6a812, 0x8e3b4356, 0x1b956965,
+    0xd747401d, 0xf1c62f82, 0x0ef5301c, 0x63e8accd, 0x1a378b18, 0x7dce0066, 0x1d22b538, 0xa15833e5,
+    0xa4f6fe85, 0xde8c4bda, 0xfeeefac3, 0x0aaadeab, 0x6a004f6b, 0x93b812d5, 0x33cd83d3, 0x81fccb6f,
+    0x4b640fa5, 0xc112988c, 0x2c3cdf2c, 0x249b9d43, 0x97a15f1a, 0x982b8bd2, 0xc6a01a13, 0x6324ad26,
+    0x4798ebc8, 0x43a816e7, 0x2493a57e, 0x701d4622, 0x489f78e8, 0xf9f370ca, 0xcf421de1, 0xe0df7d05,
+    0xacc37f41, 0x9ca47cfa, 0x9dd8ca39, 0x895a5ef5, 0xc44e6288, 0x443fc5e1, 0x6c65f495, 0x5e9b6a16,
+    0x6e4fde88, 0x86c9365f, 0x5651d246, 0x2316d30f, 0x137087bc, 0x27a63c65, 0x2b9d329c, 0x53041e39,
+    0xe448f309, 0x06eb30ed, 0x4b1a5a24, 0xf3daa03e, 0xfdbd018c, 0x128d71b8, 0x2465dbf8, 0xeda5e059,
+    0x7cef72e4, 0x92d664ee, 0xc1e70503, 0xc9585935, 0x50606a7f, 0x430e94d4, 0xeb37fa60, 0x8a127f65,
+    0xe56bdcf9, 0x847b938f, 0x5980e2fb, 0xb194efdd, 0xe15ea16b, 0xfeda3691, 0xa14a99a6, 0x6f979c1c,
+    0x23ff850f, 0x7bf23585, 0x111d3354, 0xbbb32fd8, 0x7849c40c, 0x9dd946cd, 0xc6988dfa, 0x01cf6c3c,
+    0x1458cebb, 0x5e823b8d, 0x54f5a7a5, 0xcc7b2fab, 0xc8ed6328, 0x22d12c75, 0x11d4bee5, 0x2bfc6337,
+    0x7549e354, 0xd6122fd8, 0x0a17d191, 0x8a4a21fa, 0x6e6ef1e5, 0xba430c58, 0x906588a1, 0x39bab994,
+    0xbffa5837, 0x22074a85, 0x892d1a61, 0xe18eaf7b, 0x5f199fcb, 0x7c8d7e09, 0xb08a3e13, 0xf31b8e7f,
+    0x7d66a879, 0x4af378f0, 0x64aab2b0, 0xfd87406f, 0x8df3ac3c, 0xd485c0de, 0xaa0aa22d, 0x4919f2e8,
+    0x88da339a, 0xc4f6bcab, 0xe1a164ec, 0x7f4df216, 0x8c35c275, 0x66be3755, 0x67ea8497, 0xfc760d72,
+    0x66aa4f92, 0x59d9ceea, 0x0b53ba3f, 0x4762c15a, 0xf63f1dc1, 0xc0928b0d, 0xdab9ff7b, 0x3bb4677c,
+    0x98413554, 0x9c5d6134, 0x63d81fed, 0xfe195288, 0xd9ed63b0, 0xc92dfc43, 0x98ebf1f3, 0xa5391ea2,
+    0x0b38a195, 0x572445f1, 0x7d00352f, 0xeee36d63, 0xcd79c2c9, 0x9842e14a, 0x189c49ed, 0xcc2a941f,
+    0x717fdf34, 0xe0448f69, 0xfdc91718, 0xcea0eb5c, 0x5871ede9, 0x136dfca8, 0xa37cb8b8, 0x43fb60ed,
+    0x6be99c60, 0x2b028972, 0x091750da, 0x49884c9a, 0x58f9cadb, 0xeafea303, 0x3228a5ca, 0x3c65aa8c,
+    0xebafea4b, 0x0a0030fe, 0x479ce798, 0x4e90659e, 0x4f9b0024, 0xaf156f72, 0xf19183de, 0xf0277c7e,
+    0x0d6860fa, 0x58798a0b, 0xe036ae08, 0x448505c2, 0x565d1140, 0xff9881e1, 0xe9fd5ab6, 0x0e59d54d,
+    0xb8181597, 0x060161e2, 0x12531c6e, 0x109ef738, 0x6a7f4a06, 0x0b5905ef, 0xf78488da, 0x709fb870,
+    0x0150e8d0, 0x8c09f805, 0x2dc6f9fc, 0x97f3bf47, 0x5e511a30, 0x237d3411, 0x0ae8c1a7, 0xed9fbb84,
+    0xf1374b79, 0x2c5a9209, 0x589a0a9c, 0xff5ad19f, 0x8ea6aa15, 0x91904bec, 0x2899699c, 0x8452db0f,
+    0x41696038, 0x0a663f81, 0xef6aa813, 0x2826dc41, 0xbbe3f1fd, 0x5ce8116b, 0x93a34781, 0x795b2320,
+    0xcad7bcbf, 0x77d5b9c4, 0x5ffcf468, 0x974b05ef, 0x8eee3e7a, 0x848d5cc1, 0xdc923084, 0x0ec723a4,
+    0x264beae7, 0xf7e87453, 0x2bf184e6, 0xb6aac2dd, 0x1fdd34ed, 0xcb085a7a, 0x363ab334, 0x6536aa34,
+    0x86d39482, 0x09a8b5ca, 0xe173fdbf, 0x0fb648b7, 0x6ec6cd14, 0x86f6c53f, 0x19cf587c, 0x7877a332,
+    0xb66de26c, 0x7044e4c2, 0x3b4cbde8, 0xdce16a90, 0x79d75807, 0xe42a5c61, 0x4d3f67ff, 0x2fcc8f1a,
+    0x07c92a79, 0x2d7773ff, 0x493bb20e, 0x079aed3c, 0xbf405fdf, 0x11eddf57, 0x7b37bf5c, 0x34a237df,
+    0x7e28d490, 0xdc68507e, 0x5214a9c1, 0x5138f4ef, 0x061e1b97, 0x48cb599e, 0x11f56252, 0x053b069b,
+    0x405afc41, 0xe3fd3b86, 0x3adda895, 0xe6696874, 0xa9abf226, 0xa599ecf1, 0x166e8a9b, 0xf10aedc6,
+    0xc4566dc7, 0x1dd1581b, 0x9b8f888e, 0x5476352a, 0xe90fa496, 0x41192ac3, 0x6b32429b, 0x1c9901f4,
+    0xc1e91230, 0x8c5bffd0, 0x5a0febc9, 0xc53dd564, 0x7152a7d6, 0x54add2d6, 0x73474338, 0xaab8557d,
+    0x0ba3cc8e, 0x0612cb9b, 0xed6c2068, 0x0b40ee03, 0x5382bd8a, 0xf69ec364, 0x79fc699b, 0x4ba2f978,
+    0x38b51fe7, 0x63517b2a, 0x74bcf88d, 0xaf99ffec, 0x3bfea5fc, 0x6df93f9e, 0x55dc2c4e, 0xc49d2a3a,
+    0x1c97210a, 0x4d6785fc, 0xfe8bfde6, 0x38686b0c, 0x50101583, 0x4a74ba6e, 0x79c978e7, 0x35d06d63,
+    0xfd6c0627, 0xe3e33ad4, 0x1558a7ca, 0x2b516ded, 0x201037c6, 0xb120e489, 0x905525d3, 0x07e6fbbc,
+    0x49cb2ecd, 0x4d4b6cc1, 0x647485eb, 0x2a6c0dbb, 0x29ce7a94, 0xe02d7842, 0xea24c7ef, 0xb2134b9a,
+    0x4e0fc687, 0x86eeb847, 0x1de2864a, 0xaefae4bb, 0x13f6cdb5, 0x18571e24, 0xb6d91a7a, 0x50825d7b,
+    0xe575e0f4, 0xbeba51c8, 0xede35c5c, 0xe9529bba, 0x63fcaa66, 0xcaf0bf01, 0x41a6652a, 0xb8ee412e,
+    0xc8c2b8bc, 0x0054df2e, 0x522da5e1, 0x1cb81e37, 0x008d6a89, 0x4a00f8c2, 0xb7aa4b86, 0x1f4bde84,
+    0xa668f7a0, 0x0dfacee0, 0x565efb7b, 0x251b0a97, 0x8b37e216, 0x8555626c, 0x8b936709, 0xc6a29054,
+    0x317ffb6f, 0x313297c5, 0x9505cba9, 0x3c74593c, 0xcc8a518d, 0x4813f3c1, 0x6274784f, 0x32d4339e,
+    0xf6badb58, 0xd2f89cd5, 0xc61270ac, 0xcfb36366, 0x6fb7a9c9, 0x6706f458, 0x90d6ebb5, 0x194d33b0,
+    0x9e3150a7, 0xf7fa48d1, 0x21e224c0, 0x1df44e43, 0xaebc31f4, 0x2a5b071f, 0x49bd6bb0, 0xe71b9273,
+    0x5460a362, 0x0bb633de, 0x4c12faac, 0xa6e01fec, 0xa2d086f2, 0xa188caee, 0xaee497fa, 0xdcae5227,
+    0xdec5f052, 0x865a6cdd, 0xbd0f1843, 0x8a00783f, 0x49674a67, 0x3e6fe896, 0xe5b2d6ab, 0xb5c86933,
+    0x3704edd7, 0x0c35441e, 0x09c8e728, 0x41f6bc2c, 0xa4b42f1e, 0xe7c1a560, 0xe0780214, 0x212373dd,
+    0x1d0cbdc9, 0x7851a96c, 0x64eea115, 0xb78dbe65, 0x40e55c00, 0x320af146, 0x681ba33b, 0x6a63880f,
+    0x4e6af182, 0x5b5fe43f, 0xe214c769, 0xb4c8a763, 0xa06eb0e0, 0x0fdc03b3, 0xf8b898ad, 0x6e824c1f,
+    0xd04c0a4b, 0xe040f15f, 0x4917f8e7, 0xcbf0111c, 0xbf0adc97, 0xf969c4db, 0x2af133b3, 0x0398d96e,
+    0x4b8991f8, 0x27561f94, 0xbaa3778b, 0xe4f1d908, 0x9ef60a49, 0xaa766f66, 0x3e01758f, 0xdd04094f,
+    0xa51bf245, 0x79bf7777, 0xc11538e1, 0x677568d8, 0x260e3d36, 0x184e5756, 0x4c731ce7, 0x276e5100,
+    0xd7059d57, 0x933b9f00, 0x9dd4cedc, 0x19a3a61b, 0x71a775f3, 0xe5fa6356, 0x8e41bbc2, 0x62e60b0e,
+    0xe553f64f, 0x218826b1, 0x0c6489f2, 0x2f8e0975, 0x77605e91, 0x1b0d6774, 0x42073cef, 0x20cccb5b,
+    0xf8f2d609, 0x8daa6eb1, 0x7c55cfda, 0x4c6e8c84, 0xe938272d, 0x8edb4c02, 0x6ac98549, 0xddbdb897,
+    0x2ea9a179, 0xa89ff21f, 0xe20a6ad1, 0x1a574f98, 0x75826221, 0x2a9cf7d6, 0x34cdda5a, 0x1597a410,
+    0xa6a8c23c, 0x1801c6ea, 0xd281376a, 0x17e3ea9a, 0xa05f4707, 0x35e5250f, 0x2e950007, 0x2fc50996,
+    0x94ddd43c, 0x03bd7418, 0xaf54b30f, 0x87b1dc5b, 0xc07f3028, 0x7c608417, 0xa424d27f, 0x84f12e40,
+    0xca12981f, 0x836805c5, 0xacd1cffc, 0x65c0f4df, 0xc09a5be5, 0x36d1bcc3, 0x72e31108, 0x29f6eb6a,
+    0xd8419383, 0xd6655430, 0x682f498e, 0xdd44f2cb, 0x1cb3aee0, 0x5c9c2355, 0x74930015, 0x4f6e79e4,
+    0xd7bdf31f, 0xc4627a22, 0x1be1bd66, 0x65ac943a, 0x9232ba8e, 0x2a7e67e5, 0xe24cf8ce, 0xba94dd0e,
+    0x0694f039, 0xfb9cb37e, 0xf95925e3, 0xd6a838a6, 0x2dde33ec, 0xc90e4851, 0xbf299e53, 0xac3e0e1a,
+    0xb9ac4f76, 0xffdca46d, 0xf469ed94, 0x77ca75ef, 0x0f936a13, 0xc78c18c4, 0x5398a071, 0xe87bcb85,
+    0xef2e4f79, 0x6f03bfd5, 0x24b338ee, 0x4acf4685, 0x4542e063, 0xd1dc04d9, 0xd2348069, 0x262513b6,
+    0xcedd2fe8, 0x677e2660, 0x7258ef29, 0xf3e3d464, 0x73285a46, 0x8c1b329f, 0x8f6ba51f, 0x79442951,
+    0x1bc355ee, 0xea77f35b, 0x129f6790, 0xbf3c3dc0, 0xddd5bd0e, 0x8e7469f8, 0x2cbfefad, 0x6987dabf,
+    0xdad838d8, 0x03e47e0a, 0xec0cce13, 0xd78488b3, 0x4ad989c3, 0x785c6a25, 0xceac3972, 0xfa87227d,
+    0x899bb410, 0xae574606, 0xbc1866c5, 0x09a9ad4c, 0xaccec3f6, 0x720a8583, 0xa857957f, 0x4f0d1408,
+    0xa760807b, 0xc674b728, 0xde8efee1, 0xfd020649, 0xfc0523d6, 0x8973243b, 0xb2ffcf08, 0x01185770,
+    0x4f93edec, 0x1ff3e48f, 0xe00ea7df, 0xab2b2b6c, 0xca31179c, 0xad7f756b, 0xa1615858, 0xa86df3b8,
+    0x30acec18, 0x0bd9e903, 0xd1214f11, 0x1de4e1b2, 0xa0817473, 0x425c3c05, 0x2c7dddd8, 0x2ee81529,
+    0xd5693a98, 0xdc4bf57d, 0xa15db2b2, 0x7958d030, 0xde6b0eb7, 0x59fa9c03, 0x28e61887, 0x5e1ba662,
+    0x4ffbe228, 0x398aac1b, 0xd79aa204, 0xdeb929a6, 0x0e7c1e28, 0x37173c37, 0xc13f9aac, 0x9fb7c4ba,
+    0x1e2070b8, 0x4f582062, 0x0741a67e, 0x7c4bc581, 0x7393d6da, 0x4d6c94e2, 0xadc8ff3f, 0x45679ea4,
+    0xb0ae5ff4, 0x01f338fc, 0x93af9b05, 0xfb55afb1, 0xb34a737e, 0x5b63ded6, 0x4d5cb571, 0xb1a3393b,
+    0x235fd685, 0x8d1c3988, 0xace7d8c7, 0xfee55dbe, 0x04c32d12, 0x37a4fce8, 0x8996e34a, 0x11b1c839,
+    0x3d8bacc6, 0x96d43ab3, 0x1c4e93f7, 0xa17f3b07, 0xd4bc436c, 0x84742546, 0xadc99465, 0x0c23c7c3,
+    0x0b64b8ee, 0xb1cc7736, 0x405e185d, 0x950b1f1a, 0x229a11bd, 0xa276f278, 0x57249ded, 0x5bf5413b,
+    0x0dd06c75, 0x63ab8bbe, 0x40024e7a, 0x596e856f, 0x6172bd10, 0xaea3787a, 0x08590dde, 0x05f34ee5,
+    0x50f5ff83, 0x012ab9d9, 0x53f72145, 0xdea1d10d, 0x935bfeb4, 0xdfa6e846, 0xa27bd3da, 0x6729d5b8,
+    0x6f79208a, 0x95a75564, 0x90d147c6, 0x11826f37, 0xa032dcbf, 0x84040af1, 0x85455dc9, 0x4125e768,
+    0xe0ff53b3, 0x1adbd924, 0x880ef08d, 0xcfac1cc5, 0xd1ec754e, 0x880b868a, 0x48ecc988, 0x1fcfab5d,
+    0x32f3c302, 0x08a0558d, 0x74943c7b, 0x3f43e1c3, 0x1f404230, 0x8da21e3c, 0xf0f84a52, 0xcc609895,
+    0x5420c406, 0xfae14b71, 0xfd43cda4, 0xcbe0faf5, 0x840f8788, 0xdaddaecd, 0x5c2532ee, 0x81e07fc9,
+    0x9e15f543, 0x1ab721cb, 0xd561bbe2, 0x1eaba6af, 0x924b7313, 0x4c098e13, 0xdda81134, 0x9778f90f,
+    0x9b05a139, 0xa45273c9, 0x2461e6fa, 0x6b4b87df, 0x26a7e6ca, 0x8fe7681e, 0xb710f66b, 0x1ffb664b,
+    0x9e567b13, 0x3e69f44c, 0x92ec636e, 0x6ed73827, 0x36f551ef, 0x88133128, 0xd0f4e81c, 0x67f72709,
+    0x3863b2bf, 0x0ef1e899, 0xc1a703a0, 0xb68b224c, 0x03898b4b, 0x8c9db606, 0x15c06ca4, 0xd35d95e4,
+    0x5db673d9, 0x3ad9e86b, 0x0173d88c, 0xc62bef81, 0x572b57b6, 0x91147211, 0x607a2177, 0x1938d279,
+    0xe5dc1581, 0xaa131f10, 0x702bd075, 0x78c3e250, 0x810b80af, 0xaec86ec7, 0xa72aca44, 0x0ebada2a,
+    0x0d6550f8, 0x8178202b, 0xfd712b4b, 0x7933a061, 0xb5880c8a, 0x34fc502e, 0x3f534a5c, 0xcd044615,
+    0x529e04e0, 0x6a694dfb, 0xd46fa205, 0x547bd1ba, 0xfda5a753, 0x2d26854d, 0x4d6eb60b, 0x53271ff2,
+    0x9ab3d6ac, 0x663046ed, 0x57fdac25, 0xbc5dd600, 0x543f40e3, 0x584af746, 0xb3d776a8, 0x99b44b7b,
+    0x51d66cea, 0xec02a3c9, 0xa513a6c7, 0xbac04a2f, 0x8e9421a8, 0x7373d2ab, 0xf7be6e19, 0x14df38e5,
+    0x8ee6c56a, 0x5bb1540e, 0x7492c0fc, 0x352f9e8c, 0x92663154, 0x2021d63b, 0x64cae060, 0x088c18bd,
+    0x1f8e759b, 0x32282b91, 0xc976c727, 0x97fb5645, 0xdd7288d8, 0x2ba51be0, 0x1bc9adcb, 0x1908c66e,
+    0xd01ade67, 0xffde6ffb, 0x9f7c9ecc, 0xd26000e2, 0x412dd9f3, 0xf208ac5a, 0x521a5047, 0x78665e2b,
+    0xe9477a70, 0xafc93388, 0x28485302, 0xad9a3c39, 0x9bb34fba, 0x1c3c86ba, 0x27a5e6f6, 0xd770c969,
+    0x8c80e1f5, 0x5b8301b3, 0xd8ff6b1c, 0x34acb4c8, 0x1cb79e79, 0x1477d5ef, 0x2da99c97, 0x8fd343a4,
+    0xd31671f4, 0x134a1eb3, 0xa6571dbe, 0x02c80ecd, 0x2eff9211, 0x9855251b, 0x38c77c01, 0x65de65f9,
+    0xef52ef68, 0x6f7ee5a5, 0x59038a02, 0x0c6969bf, 0xcba8ef97, 0x1ce4c4a3, 0x4864a1c3, 0xdee5efb7,
+    0x830cde8f, 0x602d84a3, 0xe49750c6, 0x0baeaff6, 0x02eef6b6, 0x32ba445a, 0x6f4000f4, 0x4199e605,
+    0x8884946d, 0x56745619, 0x4c22e862, 0xb1af9cd1, 0xfe15eb59, 0x269c39a7, 0x488979ce, 0x55e0ea92,
+    0x05b95dd8, 0xf4a7b5d5, 0xa0206be9, 0x5fba1ebb, 0xdd40dca7, 0x12b84892, 0x35f854ca, 0x673b2896,
+    0xc7cf5d5f, 0xe4c6e623, 0xf3912f8e, 0x0ae72430, 0xeb5dfe45, 0x1084b7d6, 0x6ea58643, 0xb4998890,
+    0x00000000,
+    0x25e68dc4, 0x006a4d3c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000009007199254740992 */
+  { 0x00000000,
+    0xda60cc58, 0xae7c1f0d, 0xf261bcf8, 0xbf0b7497, 0x88843c5d, 0x64933a1e, 0x43143f5b, 0xc46e3982,
+    0x62fb54bc, 0x04fedd33, 0xb33cbc38, 0xb2056aea, 0x5b504dc4, 0x277eb902, 0x7b47d546, 0xa1fb4b20,
+    0x365888de, 0x3cbf90cf, 0xd3cf0ce2, 0xd048bfe0, 0x1290e14f, 0xfbb908ab, 0x953e659e, 0x1ff4019f,
+    0x2e39f3af, 0xa4200e1c, 0x2de98c36, 0xc8750a71, 0x15fb5fda, 0xff578f83, 0xec05c67f, 0x5bdf10b4,
+    0x2dd1d9ac, 0xde9bcacb, 0xdb5b0efe, 0xe9b42369, 0x70993223, 0xbdfe749e, 0x59ef199e, 0x316546ac,
+    0x9174b430, 0x80a9d2d2, 0x4c55d756, 0x214bcecf, 0x4a0cdeb6, 0x3fc179a7, 0xf1a8ec9d, 0x1017361e,
+    0x4d846a65, 0x2bd6a0a5, 0x72ca9d20, 0x07339fba, 0xeefb93c6, 0xaaa9fc69, 0x4bba0921, 0x82ed3ca9,
+    0x8ff87b66, 0x1a34b7a9, 0xc550e161, 0xf7ad0b23, 0xc4d6d4b5, 0xe5cbda1d, 0x4f2bee87, 0xd2f5c239,
+    0xb7c41593, 0xb91fd4ca, 0xd1f33d97, 0xe22a8918, 0x7ebfb199, 0xe9de57c1, 0xa67b09b6, 0x92475752,
+    0xddbd43ab, 0x6de60d61, 0x2041497d, 0xfdfa5e3f, 0x4b5b82c8, 0xea7e919f, 0xa5fb575a, 0x05f1f0ef,
+    0x6ca4eed0, 0x8f7a4995, 0xff5b1ed1, 0x20d8b29a, 0x61f662e9, 0x0666d746, 0x49ac1404, 0xa2ddd0e7,
+    0xb7a59ca7, 0x60311848, 0x03c4bc60, 0x9a400570, 0x42da6851, 0x7585cf03, 0x536157fd, 0x04de1c2a,
+    0xa1d9ec0d, 0xa1e42821, 0x66bf18e9, 0xc185f6e9, 0xfbac4cd7, 0xdb134bc1, 0xf2b2a583, 0x86484a8e,
+    0xde4fb286, 0x38a3ec8c, 0xb2fdfd00, 0x614a53ca, 0xc07077cb, 0xa44ada96, 0xd0e9358f, 0x609c3fde,
+    0x189d952d, 0xf3d3dff1, 0x71431956, 0x263be0a3, 0xa37a0cdd, 0xaf207917, 0xf42877fc, 0x860d6665,
+    0x7b30b3a7, 0xd990dc5b, 0x302c2992, 0x4ffa9380, 0x9d7501f2, 0xb2e321eb, 0x8dcd14aa, 0x2dbb34ad,
+    0x668d687f, 0xea72e09a, 0xd0ae6f97, 0xc666524c, 0x97fc4a2d, 0xea92cb42, 0x3b99f2c1, 0xcc1183f1,
+    0x4d57126d, 0x39191b1e, 0x5454dc7e, 0x2a61dd2e, 0x7fb0d233, 0x2fbdb468, 0x56331a9c, 0x8f8e3bde,
+    0x850f1212, 0x3179fe15, 0xf9cde23f, 0x59c58790, 0x19d3c653, 0x70503111, 0x9a9f7dbb, 0x60ba0c7d,
+    0x96b506a4, 0xf52e5696, 0xdf2eb3b3, 0x76cbc4e2, 0xeda5ef2e, 0xdd228576, 0x21b4c29c, 0x2e78dc96,
+    0x17488c44, 0xa41224cd, 0x1d04ba67, 0xbb8c66fa, 0xfd008195, 0x7197149e, 0x220383c9, 0x69364b7e,
+    0xd160fecf, 0xa6d2b805, 0x45be815d, 0x85ee9177, 0x974f6c22, 0x56cb43db, 0x55913a78, 0x2b15dc2e,
+    0x5ee7e02f, 0x0d5ecbcd, 0x30f3a018, 0xb9fc5662, 0x149ed565, 0xacc1af70, 0x1649d544, 0xad524890,
+    0x474e280a, 0x64b8aa64, 0xbcdcabc1, 0x19252f00, 0x1912af88, 0xa624a410, 0x9bc2a701, 0x910dadcf,
+    0xddd08fb4, 0x3bc37f49, 0x01803c29, 0x4568454f, 0x67be0d07, 0xfb069594, 0xd8c79ded, 0xdaa0d77d,
+    0xf2b96057, 0x7ad584c8, 0x5041c1c1, 0x147dcbb2, 0x92e1c432, 0x79445d9e, 0xe2720c16, 0xc76be0ca,
+    0x2d507cbf, 0x8a0bece4, 0x08f8f57c, 0xfd4bfc60, 0x4a534896, 0x83ecc802, 0xcc3d4f79, 0x51fa85e8,
+    0x6d5bf049, 0x3805fdd9, 0x39393a7d, 0xcb28a385, 0x02485500, 0x9066323c, 0x82cb5feb, 0x1f58d195,
+    0x7d63927a, 0x7dd7bbf3, 0xad8be713, 0xf6ed1588, 0x40486abb, 0x3c499bbc, 0x9f8e4edd, 0xbe986f03,
+    0x85049dcc, 0x6531d735, 0xc0fd5287, 0xaf4e994e, 0x392b7a5a, 0x2367f6dd, 0x59cc0a9d, 0xdbfd886f,
+    0xbee18a4e, 0x29c97080, 0xd4765709, 0x5e786cc7, 0x29de00ec, 0x044a7b7b, 0x5273ea07, 0xe1669021,
+    0x71df3c16, 0x2cfd0ac7, 0x2f161d4d, 0x25f564ee, 0xe10fba5f, 0x863d962e, 0x0f0f05bd, 0x71a459c7,
+    0xe09cba01, 0xa1863b49, 0x8973788b, 0x18c2140c, 0x31103d5f, 0x4ca72313, 0x5d71921e, 0x3b94267c,
+    0x322dd0fb, 0x92103545, 0xee87d01c, 0xe13de85e, 0x901b6c75, 0x5bdf469d, 0x19418323, 0x16c83452,
+    0x0ab7a7fb, 0x307e9148, 0xfea4a6b4, 0x66b1eead, 0xcfdb6634, 0xb95b8e54, 0x259594f8, 0x1959308a,
+    0x7e4e616c, 0x2414dd94, 0xc01dc101, 0x5675fc34, 0xa7ea70cd, 0x6a16c3d0, 0x2944914e, 0xb7157f3b,
+    0xc712bd31, 0x0a9b4fa2, 0x75f10507, 0xb72779e9, 0x706506fe, 0xfcfaac16, 0x5ba44d87, 0x8a5e710e,
+    0x17e5c05e, 0x256ccaf7, 0xe1f6be79, 0x07bb7d0c, 0x75c56509, 0x690716df, 0x8a2a2c11, 0x4f51fa1f,
+    0xfcaab3a9, 0x09eff14f, 0xac762569, 0x71f6cf3f, 0x696e814f, 0xf7e54518, 0x8f92e0ad, 0xe8a686d9,
+    0x788aca1b, 0xbf0d5aea, 0xf787657c, 0x10a9bce7, 0xc008d249, 0xb3038c3b, 0x5922141c, 0xa7701bb8,
+    0x7b8acb66, 0x0e81d8ee, 0xcccb73b2, 0xc5a3062f, 0xe6399211, 0xcfc96f60, 0x3daea011, 0x4cc97bb7,
+    0xa6f6452c, 0x7a8fc72c, 0x218702d4, 0xab6a01a8, 0x1c20c4d9, 0xf818e91b, 0x6b512f28, 0x8ed9fd3a,
+    0x9c006a55, 0x23bac82b, 0x83843c0e, 0xee2d1307, 0xbe627d7a, 0x4514aa9b, 0x85eb2c97, 0xd54561ce,
+    0x38b04012, 0x4473bafb, 0xf729dce4, 0x848803eb, 0xd711ec6f, 0xe28a9735, 0xf3e770fb, 0xec94e0d2,
+    0x378837e5, 0x1cced4e8, 0x8309ecea, 0x42fc1743, 0xf8e83479, 0xabfcb0fc, 0x891dc62d, 0xf9036219,
+    0x165612ba, 0xd2b0a80e, 0x8799610d, 0xa8df7a13, 0xf9c75bbc, 0x6758b405, 0x46feaf4f, 0xd7331a13,
+    0xa5e427d1, 0x4c52281f, 0x6eb93459, 0x73394e85, 0xd532cb37, 0xb4a88132, 0xa7a63f5e, 0x41bc10c7,
+    0xce9dcc3d, 0x8b4f16b5, 0x422e2c72, 0xc3a9297f, 0x5f79d034, 0xb46bf3e9, 0x2248e9b5, 0x8a179483,
+    0x092e9bcf, 0x82e0cd67, 0x51bd929f, 0x8d702902, 0x7c8758a4, 0x6d53f0ec, 0x99bf7a26, 0xb674fe4d,
+    0x398d760a, 0x1e01227e, 0x621361f0, 0x79fda5c4, 0x08f782bc, 0x7129e206, 0xa0a3f1a9, 0x249ee4d8,
+    0x6af8f5a7, 0x32511255, 0xbb383102, 0x1dc4e7fe, 0x6cbbc3bd, 0xbf56deb3, 0x46ff1233, 0xa2640375,
+    0xe677d9de, 0x6909fad2, 0xcf74a6e2, 0x3d44b883, 0xb3338dc1, 0xaa8a347e, 0xa73160c3, 0xf359bf9b,
+    0x0815cff3, 0x1b688f39, 0x83564d33, 0xb24c686d, 0xbeeda4e5, 0x81316f4a, 0x9f0c68f5, 0x237bb4f6,
+    0xb96bb476, 0x27f3e9de, 0xbc1f3295, 0xa53f3ea1, 0x86399f0a, 0x11239c03, 0x1e893c5f, 0x752f4027,
+    0xe63d09f7, 0x7da46417, 0xfd1bdeb0, 0xdd242893, 0x58dbd1c5, 0x68ee796e, 0x38de0c61, 0x8b9a81b5,
+    0xdf986117, 0x1cd541c6, 0x6a33f888, 0x650cb9cb, 0xe5bc1fb8, 0x52835f68, 0xea7d2308, 0x83cc7d23,
+    0x637f0954, 0x63ed719c, 0x7d6a9afc, 0x0f6eb926, 0xecac509d, 0x891a97c9, 0x2b2a6fc2, 0xa53a6829,
+    0x9e0df5d4, 0x1e75a27e, 0xf1131a91, 0x992a331c, 0x72865ebf, 0xfecd8294, 0x82f66f8e, 0x8af9fc73,
+    0x864798e1, 0x4542aa26, 0x6f6fc12f, 0x0d22ed6f, 0xec6b60bc, 0x5d1caa3d, 0x1b595d2e, 0x6bebf43c,
+    0xc21e0b09, 0xd32efa90, 0x4a912fe1, 0x21488af4, 0xa3a39601, 0xfe3f833e, 0x508af625, 0x300d6766,
+    0xb823ea94, 0x8014ecdf, 0x6e7536e8, 0xe3c0afc8, 0x2002086a, 0x961deea7, 0x93034dc6, 0x3bb1df68,
+    0x858baecb, 0xa72d5289, 0xaf689ac6, 0x6be83b49, 0xf1b41e33, 0xa084b78e, 0xf1235595, 0x30458f2e,
+    0x0317223b, 0x93c6c372, 0x1f8e0f10, 0x3137c506, 0x30926bd1, 0x0cb2ed87, 0x7a158169, 0xb7a13648,
+    0xae1a0835, 0xe089d16a, 0x5ee6265b, 0xb4cabec4, 0xef352af4, 0x2e6732d8, 0x3d726f49, 0x3551bd14,
+    0xed86bc3c, 0x7ad2bc5c, 0x93176f46, 0x5fa882f6, 0xaa70942a, 0xa9b9dd0a, 0x497215e5, 0x483fbd0c,
+    0xfc0fbe9e, 0x39772cbb, 0xae950db7, 0xdeb06501, 0xae1292f9, 0xb6119f0e, 0x391f99bb, 0xb126665a,
+    0x62cd3f1a, 0x816a485d, 0x77ff6e1e, 0x6c4f8f06, 0xabd2c29e, 0xd086291a, 0x56996565, 0xc0451a3a,
+    0xe1cbc5ac, 0x939c1e9b, 0x26add605, 0x760b1e3e, 0x0f62e36b, 0x189bdaa3, 0x5b71995b, 0x16390594,
+    0x7d39bd5c, 0xe66a37be, 0x3a11d174, 0x45e37dc2, 0xf08d9408, 0x159fd192, 0x298be420, 0x52adbf1f,
+    0x3cfe5c0a, 0xef72b3e5, 0x1cc8cce5, 0x8597671d, 0xe5319989, 0x8d3ba81e, 0x875a799d, 0xebe7d5c4,
+    0x8f20af2b, 0x82c39e7a, 0xfd0e1183, 0xa19dec12, 0x9ff76846, 0xbc7a2637, 0x17785f3c, 0xc7b8a9ca,
+    0x3b87e648, 0x4c9d6ae0, 0x5e829795, 0xb5ab38c1, 0x54a62fba, 0x273c4266, 0x4af9e579, 0x7e446987,
+    0xb39b32bb, 0x9afaaa39, 0xcc3807e8, 0xd16978f9, 0x41a5ddf8, 0x8bcee1be, 0xc7400fa7, 0x54ef3352,
+    0x30d53ca7, 0x7947e0c7, 0xbdfdc45e, 0x85b413c9, 0xc7397e02, 0x6e0a448c, 0x83a5fd55, 0xa49273fc,
+    0xaae74ba4, 0x69bad0df, 0xab7bf20e, 0x4c93466b, 0xb9fb1099, 0x71037344, 0x9a29679f, 0x56f68d82,
+    0x17e5bc31, 0xbbcee685, 0x9bcdc2de, 0x2ce87537, 0xe89ce84e, 0xf64ede41, 0xbcb99f7b, 0xfa99b136,
+    0x66e30fc2, 0x3f91866d, 0x7af1b164, 0xb30f7f01, 0x8be38f12, 0x49c04022, 0x02f80a29, 0x0ba6a2ef,
+    0x31047044, 0x0b9dcc78, 0x84f1a218, 0x14f16360, 0x4a22172b, 0x33f93819, 0x6ea700f3, 0x29bbab41,
+    0x314c107c, 0xf25af451, 0xe81a5c62, 0x0e369e61, 0xbc616a71, 0xb0ff2388, 0xba37d58d, 0xe52ab63a,
+    0xd3e774a3, 0x23eee420, 0x41ce5be9, 0xd66bd69b, 0x25ccf762, 0xb8dbef1e, 0xb76a13a1, 0x79253a8c,
+    0x9cb76907, 0x8fa87f9e, 0x8cd464fd, 0x8c8a9a88, 0x8daef267, 0xa73261ae, 0x3a83d871, 0xccb1c241,
+    0xee85957a, 0x645f245a, 0x6955f71d, 0xfe041a88, 0x6f9a41b1, 0xfb01171c, 0x57c536f2, 0xf3332215,
+    0xadfb2ac7, 0x08f2d74e, 0x070ccff2, 0x361dd525, 0x1727f68f, 0x28793406, 0xac7d7583, 0xfd3eb289,
+    0x52103731, 0x014f7601, 0x4c266df5, 0xdc368983, 0x7049e676, 0xc089c4fc, 0xcf89983a, 0x2d5cc48f,
+    0xe2fc7513, 0x3c3a0d63, 0x77cb2a71, 0xeefad1c7, 0x54e1367c, 0xe0af14cc, 0xb2ffec69, 0x719cf2ab,
+    0xac112ad6, 0xb88d8fa0, 0x4f12d906, 0x4593d289, 0x82f8e7f4, 0xcd928165, 0xfdec05bc, 0x73d230f6,
+    0xa309ed54, 0x2e4edbaa, 0x36934547, 0x753ec2cd, 0x3e09b66b, 0x5ee67d3d, 0x01c902e2, 0xfcf4637b,
+    0x645b9e7f, 0x804038ae, 0xde46d7ed, 0x1d4e6f28, 0xe853eb93, 0xcf995641, 0xe9f5b21e, 0x89c0c84f,
+    0xfae3d74c, 0x312f62c8, 0xe78b3daf, 0xb4b5b63c, 0x5a96b203, 0x45e91ae3, 0x8b30de1a, 0x67f8b550,
+    0x20846ad1, 0x944b556c, 0x955d8764, 0xf02ab203, 0xd004de90, 0xcd8706e2, 0x1ae261b0, 0xf0aea02a,
+    0xc3ac9741, 0xd00ec359, 0x8a780b4d, 0x5d993f87, 0x9350cac3, 0x5aaac1af, 0x5d80bd49, 0x1573c4ea,
+    0x9145dcab, 0xe235dbb9, 0xd2c418a3, 0x0fb342cb, 0xabf7e274, 0x433e9fea, 0x3a3e9966, 0x2a79ad81,
+    0xa29d1077, 0xee286e2c, 0x02a9ab0f, 0x06e629d1, 0x020633f6, 0x05d787b0, 0x043317c1, 0xc58e6838,
+    0xca25dee7, 0x8d778338, 0xd635be28, 0xf6459979, 0xfd4b6eca, 0x70306acc, 0xaf621b3d, 0x9976375b,
+    0x2ca302b8, 0x5cda1236, 0x313ca3d6, 0x06cd6454, 0x05a7cb9d, 0x9a7ec348, 0x5d61805d, 0xcb0232e2,
+    0x67a2d5da, 0x0ea6d749, 0x09ccc12d, 0x0d80bd62, 0x88b387b5, 0x372fbaed, 0x9a0f0d05, 0x50595328,
+    0x6da9849b, 0x0469c0e7, 0x5e0a16a4, 0x86b7e1a7, 0x9fcc3667, 0xfa04833c, 0x2aef79f3, 0x5e38999e,
+    0xb9b3b755, 0x5ee5ea1f, 0xc265adce, 0xdde78e78, 0x7953e2c1, 0xbb295d24, 0x4df2f166, 0x2649af16,
+    0x201e4368, 0x059a731d, 0x54abca73, 0xa9d1b961, 0x47701307, 0x0cbb185d, 0x3cc910d0, 0x74120105,
+    0x70c2d14b, 0xac4ee49f, 0x83f8c91c, 0x97931384, 0x50ae24d7, 0x37ca7339, 0xfe815053, 0xd274aafc,
+    0x14a8b2db, 0x529ad197, 0x6074a58c, 0x4ef3ae06, 0xa32b401e, 0xd12036bd, 0x97b669e5, 0x6d66aab8,
+    0x7957706b, 0x5d4da7a2, 0x0f22c237, 0xb30deda8, 0xcb889f18, 0xe72fc861, 0x769d7378, 0x3674d163,
+    0x9121aaeb, 0x7b3be9d8, 0x6917c610, 0x563e2851, 0x67794231, 0x44b581e7, 0xde1b9fbc, 0x1dd3a426,
+    0x573b7fcd, 0xd0d89140, 0x687d9def, 0xf69a7d24, 0xc52444a0, 0xfb661d46, 0xecbb6145, 0x47f4cc3b,
+    0x7dc9132e, 0xe6c40922, 0x167aeac5, 0xd38524e4, 0x93288a5e, 0x938657b6, 0x42c63fce, 0xf05950a6,
+    0x6e2a92ba, 0x9fbb918a, 0xbfebe9ae, 0x8a524226, 0x85e83023, 0x07521c1b, 0xeb8554de, 0x0b9fd5f0,
+    0xfdb76cb9, 0x04b4e551, 0xb12f6eb8, 0xc56b5da6, 0xcf3746b7, 0x9fa3bbc3, 0x106b8b6b, 0xc5546b60,
+    0x9495584f, 0x8259568b, 0xeb48e706, 0xa5d50bc0, 0x867d84d8, 0x69b34b44, 0xb9dd8364, 0xe57bc417,
+    0x73f0fed7, 0x6a8ecc6b, 0xf0003f8f, 0x63caed55, 0x69ffb494, 0xe6392a80, 0xc135a236, 0x011cb0b7,
+    0xa41a091a, 0x62615567, 0x8be60a26, 0x76a16e7f, 0x7ffe92d0, 0xe79e4ed7, 0x7c568969, 0x61ad324b,
+    0xeac411b2, 0x4163139e, 0x5c4a5ed3, 0x41f1d70b, 0x3526a6b4, 0x8f7d8528, 0x7ac229c7, 0x2dde7f04,
+    0x5ef36f70, 0x126d648b, 0xc44df5a3, 0xe16e48e6, 0xe2179057, 0xff554814, 0xf3bc5cfe, 0x3b725e5a,
+    0x65ad0139, 0xc68b4ba9, 0xc011d6b4, 0x37212611, 0xb5f7ae9c, 0x4d27f836, 0x089bb170, 0x2108397b,
+    0x04ff3eb3, 0xa13a6f8c, 0x6a45b519, 0xf0e50406, 0xb6ad7872, 0x06258c2f, 0x0fe92255, 0x31a7b3bd,
+    0x65d79bfe, 0x117bc7bc, 0x852981cc, 0x57ca8159, 0x49713b58, 0x441553bc, 0x10586644, 0xda7565c1,
+    0xf3e14a16, 0x66e459ec, 0xde9a9a74, 0x4d18cd26, 0x8c19112e, 0xf3f8b58e, 0x09ac75f0, 0x02a8f52a,
+    0x3b40973f, 0x734791fc, 0x72d468c2, 0xcc92d672, 0x145558db, 0xe81111c6, 0x0d0024a2, 0xaff3e043,
+    0xf708f78a, 0xbe4f20d1, 0xe394c193, 0x3382c295, 0x29f05033, 0x190bd087, 0x8b0acc3d, 0x230e00a6,
+    0x74f3a209, 0xdc6ed2d0, 0xefcb230e, 0x5ff305a4, 0xd0307442, 0x4d55b40d, 0x2cfb863b, 0x435c1ad4,
+    0x901ad718, 0x668310eb, 0x2cc5a767, 0x5e31fbfe, 0x4785a71c, 0x0704441a, 0x668423f3, 0x6c60552a,
+    0xeb505964, 0xa93abad4, 0xa7bc286f, 0xcb8400ac, 0xa18281ef, 0x1490e99a, 0x02daae43, 0xe2af21b8,
+    0xcd2add31, 0xad5257fd, 0x485adc54, 0xb7c63df6, 0xa0023e96, 0xff5168e3, 0xbd67f655, 0x8a115872,
+    0xb6f5567a, 0x306b842d, 0x5d672e24, 0xd93f3bb3, 0x1e8ce1d3, 0x2b2c4706, 0xad6989b0, 0x6680e4cb,
+    0x427269ed, 0x8dedf5cf, 0x3d5d4521, 0xbacc9f8b, 0xbce91225, 0x77859f89, 0x258b3f5a, 0x367b5509,
+    0x6d8ae40b, 0x0d78a873, 0x77fb2dbb, 0xa789732d, 0x5da5ed15, 0xbf39e961, 0xddd0fa83, 0xc4ce7ce0,
+    0xee44fb49, 0x4e6a457f, 0xf2aa250f, 0xed78757d, 0x6a6e0230, 0x40eba9de, 0x8a0442a0, 0xd7051484,
+    0x00000000,
+    0x12f346e1, 0x0035269e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000004503599627370496 */
+  { 0x00000000,
+    0xbf5be956, 0x3bd5297b, 0x92ce3c2b, 0x97c2ce9d, 0x69be7c7f, 0x6030b70b, 0xa7e7a89d, 0x525cb801,
+    0x190a385c, 0x912109f1, 0xb0bdfa05, 0x297cc44f, 0x47c5a2ba, 0xc3f81614, 0x379c2723, 0x6be165f7,
+    0x2d87b629, 0x1f613054, 0x5c16b9b6, 0x7071b3a7, 0x5237040d, 0xa2c6170f, 0xcd273b50, 0xf693d88b,
+    0x6989bd7c, 0x995b291b, 0x5807640a, 0x774df719, 0x862188aa, 0x3a3c26c4, 0x6b872e53, 0x90ad830d,
+    0x0fa5e401, 0x17db4374, 0xad369bd7, 0x2a779e3d, 0x961a9a1b, 0xa90912e3, 0xff0f5b35, 0x57c4407a,
+    0x713c36ae, 0x1523f40f, 0xfda4c75b, 0x07a7143b, 0x205c3bdd, 0x208c7656, 0xd8d38d6c, 0xbc6db3b6,
+    0x2f2ea522, 0x4f7fad2e, 0x33d8ff2e, 0xb4899235, 0xe472b0bd, 0x0ad469ec, 0x7cb13ded, 0x42044e06,
+    0xfc01cff8, 0x5ba7a9b4, 0xfd7c7d53, 0x15614fa8, 0xb9a4b6a7, 0x685dd982, 0xb64bc2d8, 0x52e353a0,
+    0xbdfede42, 0x1c0d2e04, 0x280d93dc, 0x3f3127f1, 0xa11cd637, 0xab3e3094, 0xed23696d, 0xd9987799,
+    0xa5c24b07, 0x35a22497, 0xc375a1b6, 0x074199a9, 0xae0afca9, 0x2cfea43b, 0xeede9507, 0xbae6dc9e,
+    0x6d8ad17f, 0xb4619704, 0xa94241ec, 0x7d872b79, 0x1ba6050b, 0x1ea01ae0, 0xc7d49434, 0xd009b3d6,
+    0xe115e978, 0xddd57a37, 0x70ded17e, 0x6c758bd6, 0x48244ae8, 0x649ab224, 0xe85ab5fc, 0xc3383441,
+    0x2ce7de64, 0x6783c906, 0x4071debd, 0x2d93f84f, 0x72e18538, 0x8e0e8f9d, 0xb31f8732, 0xaf7e0b40,
+    0x82d3feb0, 0x99afa696, 0x6f62f017, 0x4ac27504, 0xf9e7e4c5, 0xaa87ebee, 0xafe7bb06, 0x4bea2c28,
+    0x466a0daf, 0xeec9659f, 0x71e075bb, 0x421b8ec9, 0x80f2e4c4, 0x2fc9ebfb, 0xd437e9cc, 0x8ec95e68,
+    0xadab9408, 0x7ceb4de7, 0xe3a26a74, 0xf1b79ee4, 0xf7644f61, 0x51c3781d, 0x36376a63, 0x999b70fb,
+    0xf288173c, 0x046c4d5f, 0xbacc118d, 0xfe754833, 0x6f32b26a, 0xa3ea27bf, 0x55b216be, 0x356d7a09,
+    0x3d6ea2b3, 0x2fc01296, 0xcc89ffb1, 0xd27ea4a2, 0x08426e24, 0xf08981e7, 0x4fbd104e, 0x569212dd,
+    0x08347c6b, 0x7b03e958, 0x0a492d63, 0x63861c89, 0x7004dcb6, 0x3b0586c0, 0xa6f3f558, 0x7bb3c646,
+    0x95658c1c, 0xb7428a66, 0x57937d8b, 0xf4f1abe0, 0xad444372, 0x95b437f4, 0x13d8f626, 0xaf9fda93,
+    0x88373e3e, 0x76a39aae, 0x0537c3b7, 0xeb70c443, 0xfe4a4858, 0x1ee72bef, 0x2df1a13c, 0xf2375ea4,
+    0x25e42ae0, 0xb9f14533, 0x074c9382, 0xf55d5a7d, 0x1703b0ed, 0xa2deee0c, 0x0f251745, 0xdf064053,
+    0x8cd58e89, 0x89e3b31c, 0x2ddae74f, 0x5e90a006, 0x9d897e54, 0xc44de02a, 0xb6d4d77b, 0xa1fc5c5e,
+    0x59cf3262, 0x09a971dc, 0x5a536a19, 0x7bc7edf5, 0xbca22201, 0xf5d0f887, 0x24c43cf8, 0xcca842f5,
+    0x761dd311, 0xa44b4987, 0x4de5c0e0, 0x79e8ba48, 0x8b92ad8b, 0x54f8c13c, 0x9cd4ef9a, 0x09e73daa,
+    0x076fa8f8, 0x293e9faf, 0x1745bf82, 0xbfe932c4, 0xf0a6b854, 0x7fe63b29, 0x1418bc03, 0x94b4a3ec,
+    0x2bc89be8, 0xdd10ec03, 0x1333ff56, 0x2f1754c3, 0xd98512ef, 0x9ce193bb, 0x4de4574c, 0x9cb461da,
+    0xf6fe7b11, 0x2f8bf963, 0x619e5f61, 0xcaca2ad8, 0x3f9b6203, 0x40279cdf, 0x9e1c781c, 0x50a74392,
+    0xe08cdfd5, 0x3b170149, 0x1aed3ae9, 0x85ea1578, 0x362b5278, 0x28094e0f, 0x2e0ba73c, 0x042a21a4,
+    0xff6d208d, 0x60109575, 0x90b609dd, 0xa3873582, 0xa585c936, 0x08079ea3, 0x79a65df7, 0xbfa6a1a7,
+    0x6842619c, 0x3ac68b21, 0x39f98e43, 0xc4e43bd5, 0xc5240935, 0x224c104d, 0x32fa701b, 0x71498d38,
+    0xbb6bae7f, 0x10e061d7, 0xf85fabb6, 0xf8f70666, 0xfb40d2a5, 0xcb3a80f2, 0xdb6eaebe, 0x093c01d4,
+    0x2108350d, 0x3583b545, 0x70602260, 0xae315ff4, 0x00314e16, 0xc6309c1c, 0x6db124e1, 0x233d1498,
+    0xccfc983e, 0x85e6d3bb, 0x6583a369, 0x6d0b7457, 0x41964a1b, 0x8a74f267, 0x58764700, 0xcb172456,
+    0x6a28361b, 0x024bc44a, 0x707d8273, 0x6d79c882, 0x003ff1eb, 0xb2ce9e30, 0xeba834a5, 0x05069db6,
+    0xbdbd7a8b, 0xe37f9091, 0x71d90b78, 0xc7c547f5, 0x9d43cb47, 0x32dbb54f, 0xe1587514, 0xed0985d3,
+    0xa5822c5d, 0xc21f984d, 0x5cda21da, 0x11e7b025, 0xb8aa229a, 0x663b8bc6, 0xdd70ba52, 0x01193315,
+    0x8acb63ae, 0x0742b995, 0xd8dc2022, 0x65abb892, 0x96ed9586, 0xcc6020fc, 0x45474c91, 0xe44d17d7,
+    0xe22cb165, 0x34ad1212, 0x3f193173, 0x90f48af8, 0x66d35bcf, 0x01b741f4, 0xa20ceb31, 0xb1171ffd,
+    0xf76a8085, 0xe05b3f49, 0xd61b180b, 0xcd0e4a55, 0x6f925430, 0x483afdec, 0x30efd354, 0x6cce51ab,
+    0x1937cc3e, 0x896b9f16, 0xe5dcd029, 0x5d6e87c4, 0x68e7d4e0, 0xa19c6bfe, 0x3a1edf96, 0x2ca9e2b5,
+    0x37a5fe7c, 0x92c8f6f7, 0x4061e765, 0x87c76947, 0x3624c9a4, 0xf490b489, 0xd830bf76, 0xa363abaa,
+    0x2025980b, 0xee12b396, 0x4f9b316c, 0x5e7264e7, 0x9cd54018, 0xb8e9b9c6, 0x32ccbf32, 0x5f6e2cec,
+    0x471f6159, 0x1d0370be, 0x6bfc7cba, 0xc2e70f98, 0xbeaab3c3, 0x3c9d4c7e, 0xe7eeab9e, 0x47165715,
+    0x46d0f18a, 0x18d564e7, 0xc5aaa0c0, 0xf075677f, 0x20eacc6c, 0x9e496457, 0xf5ab3b54, 0xb186538b,
+    0x85a59e45, 0x6c6fed37, 0x18024436, 0xaaf43abe, 0x7367fa5a, 0x37ddb6ee, 0xc385f926, 0x6554f19a,
+    0xacbb36a8, 0xef66bbb0, 0x3092efb9, 0x4bb7ad03, 0xc84b715c, 0x616053b6, 0x46a8ee60, 0x4b886a9e,
+    0xf34ac229, 0xd7bf2ac5, 0xf8a29c08, 0xdf8e2620, 0x4819bedb, 0x9383d93c, 0xdee5e5c0, 0xfeacdc05,
+    0xa10a47d8, 0xd3c773e3, 0x6806068d, 0x0543b9f1, 0x5ff9c385, 0x71ba0bef, 0x4b62b31a, 0x236ca9ec,
+    0x26805e06, 0xb14121b0, 0xbabe5ebf, 0xf0cffb94, 0x803ea852, 0xe1aee08a, 0x4b14ffd3, 0xb8dc282f,
+    0x4e1ddbae, 0x9095bf80, 0x1f95bac6, 0xc4f86c23, 0x16018bce, 0x67fa561a, 0xaba29e64, 0xd5170770,
+    0x665bbc35, 0x26e34b29, 0x268bef5e, 0x7ba3a6f5, 0x5b5a509b, 0x085a846e, 0x73a1539b, 0x8207cd2b,
+    0xe0cbd6b1, 0xe178b481, 0x029b9869, 0x6941e1a2, 0x6babf825, 0x1b2d8696, 0x57e4961f, 0x5fa55eb6,
+    0x16d1a60a, 0x84f6a0f4, 0xb9cf71ad, 0x5f067ba8, 0x0d40c74e, 0x4a97d92b, 0x7c55929d, 0x81a92eab,
+    0x460e223f, 0x189d61b8, 0xcd6d9e03, 0x6d7483f0, 0x90195cac, 0x985dd3fb, 0x9a9a7dfe, 0x7af5239b,
+    0x2565bb5c, 0x22a9d0ea, 0xdaf576dd, 0xabac484e, 0x541ec3b3, 0xc6868f3e, 0x73142d88, 0x6a949327,
+    0x1141770a, 0xd45aa825, 0xcbeeff4a, 0xd4ab8613, 0x3998cc00, 0x012a6a95, 0x3d5d77d6, 0x2effbfbe,
+    0x5b211804, 0x0e7b2954, 0xcb2842dc, 0x48d8adac, 0x8db00873, 0x1d47d9ac, 0x6d361e2e, 0x1d7dc8fe,
+    0xfdce05e5, 0x058520b8, 0x2e02bb24, 0xaab02c25, 0x6b8b7c0a, 0x75e36c24, 0x7ca38c69, 0xfb4ee0c2,
+    0xc20c0138, 0x50809d74, 0xc0943a8d, 0x498aa1e5, 0x2a9c0291, 0x33344382, 0xeff8aa1d, 0xe3e24a4b,
+    0x5b1909f7, 0xfa214e66, 0xde25166d, 0x1296c5fa, 0xf1650fa5, 0x22b45c74, 0xf411e787, 0x644f2196,
+    0x2551fc2b, 0xeb002f0b, 0x41c89f0f, 0x062e02c3, 0xf1bac037, 0x725e167f, 0x02afb7f8, 0xfb649302,
+    0xfcfc0325, 0xee3ea4e6, 0x9e1f94a0, 0x0343673a, 0xd52f1fd8, 0xac0b58b0, 0xaca811ad, 0xb0e2ff14,
+    0x67f9354f, 0x35739974, 0x506c05a5, 0x0ca1edea, 0x85dc4ca1, 0x860bce8e, 0x4dca7718, 0x312c85c3,
+    0x11dba3a6, 0x87e4b6c5, 0xf8e6f807, 0x8b74e677, 0x49c43b1b, 0xc7e403da, 0x661c6e34, 0xd9a12583,
+    0x7107ca9b, 0x5beda845, 0x8b6580a3, 0xa889de3a, 0xb9d83efb, 0x5dd33d5b, 0xa79a5a5f, 0x146e397f,
+    0xf214c0d1, 0x62c374b8, 0x9a98264d, 0xff434bd9, 0x121466ac, 0x6e3d02fb, 0x38586d2d, 0x920a251e,
+    0x04501721, 0x6f9b4d74, 0xe48ccd1e, 0x22af1668, 0x1f84addb, 0xdecaff96, 0xfc7003fa, 0xeb2927d5,
+    0x43698144, 0x3733fa21, 0x194de24e, 0xbb96b2cc, 0xa65e50db, 0xa71f67c2, 0x41be2c4b, 0x27a39f36,
+    0x762a1c44, 0x6fff75d5, 0xf8d15895, 0x114b58a0, 0x2ccedd72, 0x8ef437bc, 0x8cd134e5, 0xf2d5c160,
+    0x4a0f83c5, 0x690ea425, 0x7409a195, 0xd95eafa1, 0x6eb2f2b1, 0x138595f0, 0xeb725ba0, 0x349528c9,
+    0x31616a5b, 0x51ba79a1, 0xb7e30eaa, 0x2dcbde29, 0x79c7a85c, 0xc0d3a317, 0xc12fb9bd, 0xcae18886,
+    0x230d7d81, 0xf72a1958, 0x4868095e, 0x5f9822ae, 0xf73e0b25, 0xd97024a2, 0x711499a0, 0xc84a163c,
+    0x85cfb2c5, 0xa32e1fb1, 0xa3835ab7, 0x74464fc4, 0xd81d1a02, 0x000af34c, 0x90fc1c5c, 0xb7ddf6cb,
+    0xd24773a5, 0xd30e102a, 0xada9dba9, 0x299d756d, 0x67f0cf8c, 0x3710f372, 0xace48f07, 0x6456473d,
+    0x9f06e624, 0x973bc872, 0x54217e4e, 0x315fdf87, 0xe4d5880f, 0xa8285be7, 0x1b918b25, 0x9459ec03,
+    0xf8066f4c, 0x4321784f, 0xbfa7064e, 0x9df8b622, 0x7ab7ee70, 0x4924f813, 0x4c2ef0af, 0x1222793f,
+    0x5185b8e3, 0x55ace969, 0xb444e253, 0x5078219a, 0xf98e34b8, 0xc0777db5, 0x15ae34ee, 0x0e764d2e,
+    0x5dc8ba47, 0x58973ce7, 0x02c24573, 0x499262f6, 0xd8a7fc3f, 0xa70cd318, 0xdb9087bd, 0x2664d9e7,
+    0x17e2dae1, 0x9b4b43ba, 0xb460fc81, 0x2712a58f, 0x2b766878, 0x496aaaa0, 0x1061cac9, 0x5537af8f,
+    0xd2700eca, 0x5b77e870, 0x14493bc0, 0x3d69d0b3, 0x5d7a7453, 0x8ec9447f, 0x952f0f48, 0xf6fa181c,
+    0xf53b0198, 0x67257b7b, 0xc24defeb, 0x4c8f2a00, 0x5b5fbc31, 0xc312cb2d, 0x576a6f58, 0x1ddcbd50,
+    0x4fe9711b, 0x2a2cd8fe, 0xc7f7be10, 0xbed819fb, 0xe3990cd6, 0xa4583637, 0x56649953, 0xcbc8f0f6,
+    0x0e589cc3, 0x85aab753, 0x645e75cd, 0xd611e89e, 0xa674f4ce, 0xe7d589a1, 0x66bc8d81, 0xb101edaa,
+    0xa4454c31, 0xe1f2584a, 0xab0061f3, 0xa83928da, 0xcf88f6e6, 0x3e2fbbd3, 0xe79ffe87, 0x35af93c8,
+    0x6db0a39f, 0xb5d7380b, 0x75168785, 0xff4b3bd8, 0x3a0657fa, 0x931ff9c9, 0x0ab9099d, 0x5ddb1767,
+    0x2f2e105d, 0x09bff3bd, 0x29ce0078, 0x173225d1, 0x0cce34db, 0x7510e799, 0x1fdc3e25, 0xdeaa0a12,
+    0xc44310b6, 0x77807199, 0xd02b1e59, 0x5bdd5647, 0xe20104ee, 0xc0b53552, 0xb725c296, 0x25433103,
+    0x430e7ff9, 0xc50196f9, 0x44441787, 0xf91bcde3, 0x6e9558c3, 0x53282a97, 0xf06a3dcf, 0x6fa48f93,
+    0x5d9d850a, 0x40dafd8e, 0x6e2a2320, 0xde3b30cc, 0x1d3ad52f, 0x949f7c73, 0x59e1ad41, 0x3853c349,
+    0x76f32e3a, 0xc03c44c6, 0x9d923e01, 0xd10dbd88, 0xe0a7db3d, 0x9a5a9784, 0x76b43aa4, 0x3aba9cc3,
+    0xec9024bc, 0x41ce0787, 0xa7d64797, 0x3c9382f2, 0x9559afbd, 0x6804e31b, 0xda02bda7, 0x7c4de747,
+    0xc39b056c, 0x562e0f5b, 0x38ee2269, 0x530c69c3, 0x3c98b75e, 0x77a79e4e, 0x34b99eae, 0xa51f352c,
+    0x12bee532, 0x615b4404, 0x2d334b92, 0x7750f1ac, 0x03f60612, 0x05695b9e, 0x27b7ca0f, 0xfabcb6fc,
+    0x2ad2a576, 0x44685afb, 0xe7b59153, 0x568a3ac5, 0xb62e429e, 0x1c8162d5, 0x3fa46b7e, 0x9c18530b,
+    0x792b1b1d, 0x4499d859, 0x3a3ef197, 0x2b2d6e22, 0x00e6be69, 0xb14a9c6d, 0xc40b4b57, 0xfb40e1c2,
+    0xc2781690, 0xfbd26243, 0x11596804, 0xb886e1d9, 0x49191e8e, 0x3381c198, 0xc8d8e724, 0x70471241,
+    0x1d4c9bf3, 0xdc816855, 0x9cef6c07, 0x17c7cc18, 0x4bca2360, 0xc9441c4a, 0x83b192b9, 0x7caeee9a,
+    0xccbb5309, 0x2f387bf3, 0xac6b4a27, 0x67d9127c, 0x94a92e68, 0xef560d02, 0xb5542710, 0xe58fc385,
+    0xdbe7111f, 0x658602c9, 0x520d1ce1, 0x07d239b5, 0xde3686ea, 0x0522d6bf, 0xd2fd67de, 0x19f2b4d8,
+    0x8f3b0012, 0x90b143fa, 0x04f79223, 0x076c6010, 0x469d771c, 0xa4c8beb6, 0xccb3b6b1, 0x77e6de9c,
+    0x6788685a, 0x4c8fc348, 0xb8360268, 0x12a39900, 0xa5394723, 0x2059ac3b, 0x08ba0494, 0x1a7abf54,
+    0x2f1875d3, 0xaad9390b, 0x89cdaa8e, 0x0bfd240c, 0x2205ebd5, 0x8c003e10, 0x982f6b34, 0xe9e2388e,
+    0x2553358a, 0x5c8da554, 0xa8124cf2, 0xaf719eb7, 0x4294d659, 0xb3f47703, 0x3add25ab, 0xec2493cb,
+    0x2ac1c29a, 0x34ebaeb6, 0x66f37b01, 0xed78d2c4, 0x5ece3d1e, 0x434c063e, 0xb1d9ecbc, 0x2904afac,
+    0xa0d0000c, 0xf0f0ab09, 0xa4f3b054, 0x40bb48b4, 0x3d672abe, 0x473884d9, 0xe7e26b67, 0xcd526c59,
+    0x553a0fe8, 0xb92cfd9b, 0x45da4bbe, 0x936f0d7c, 0x43c69146, 0x0e3bf315, 0x708b9470, 0x1c0f7175,
+    0xf8bd25be, 0x8afd2614, 0x456b7999, 0x00f64163, 0x9099e9a9, 0x767ad0e0, 0xbbbb0592, 0x95f47812,
+    0xdda8bce5, 0x696527a5, 0xe9d99a79, 0x99490045, 0x87e7e3a4, 0xe8e01ca6, 0x28e93bd2, 0x1d98f722,
+    0x4346bb79, 0xac560423, 0x3a3260bd, 0xe1c2d5d6, 0x8aa895e6, 0x1412eea4, 0xaa711a63, 0x1190e12c,
+    0x33e5fa42, 0xe703f1a0, 0x8c8fa6c8, 0x265af6b8, 0x64d08c7b, 0xb7f2045d, 0xd655e2a2, 0x0b4cf7f4,
+    0xfc2ad26f, 0x8579408e, 0xebc0156e, 0xd07b98b4, 0x726642bc, 0x977a8ea9, 0x1cb7d788, 0xd624ce28,
+    0x9bf8a08f, 0x79a3cc15, 0xede25f07, 0x3a4ae5d0, 0xa0140a1d, 0x1ec7cc0f, 0x6a717495, 0xe85e5be0,
+    0xacaffb1d, 0x52431e59, 0x40eaaa89, 0x4c407384, 0xa53a5696, 0x8643dd34, 0xad147bcc, 0x7bb32639,
+    0xfa635b93, 0xb7d49037, 0x491040a0, 0xaed29bef, 0xc22e96e7, 0xd8bf4d67, 0x4e4db3e8, 0x83ee6322,
+    0x9a6b3314, 0xc656b701, 0xb79af754, 0x78f4b604, 0x90f24e41, 0x21c60bc8, 0xa29168b8, 0x119d9f68,
+    0x52a97a40, 0x6b3549c5, 0x2072ca75, 0x6ec0193d, 0xc5d62f6a, 0xe53cc8dc, 0x6176693b, 0x8eaba6a1,
+    0x197a37b9, 0x5e33a942, 0xd28198ef, 0x73531f59, 0x2a97336b, 0x89122d80, 0x3a6547f3, 0xd139b7d3,
+    0xec4ece97, 0xe2ea6db2, 0x3ea874a4, 0xb29748c9, 0x464eaa79, 0xe67d789b, 0x3ffb4396, 0x89830878,
+    0x79bd065a, 0x10ea7807, 0x7e1d8f6c, 0xf5bea27b, 0xc90322d4, 0x580e46e0, 0x87fa0d69, 0xc54604c7,
+    0x060bb0fa, 0xb5db9b9b, 0x54edfc08, 0x441c642b, 0xd071fb52, 0xfc49f68e, 0xc5a982fa, 0x510813a3,
+    0xa8bf5fe2, 0x8bb01d94, 0x2c7a611e, 0xfc76efb8, 0xce36c32f, 0x2c021e7e, 0xb935b8b4, 0xd4811002,
+    0x48b00466, 0xf609aa9f, 0x02cf6c4c, 0x86d685de, 0xa750107c, 0x4bb332b5, 0xabc5bf0a, 0x387748c7,
+    0x7576dc10, 0xc8db5fa7, 0x2c6920a0, 0x5ac30783, 0x1d1b45b9, 0xfebfc808, 0x9c20a5c9, 0x88e1d581,
+    0x98fb31f2, 0x75d0117b, 0x3f86bf88, 0x96950fc5, 0x83398d16, 0x7ba2fd03, 0xa3f86f45, 0x306dd66f,
+    0x6547a1f1, 0xcc86560e, 0x60e33590, 0xda0b01c9, 0xd77106cc, 0x57939373, 0xbf3d696e, 0xa5e63115,
+    0x00000000,
+    0x0979a370, 0x001a934f, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000002251799813685248 */
+  { 0x00000000,
+    0xa897cc4d, 0xe3f2a21c, 0x5a9526eb, 0xd3328314, 0x66d9384c, 0xf1e08ae6, 0xc4e758a8, 0xa54e3250,
+    0xa08046cb, 0x67eecd52, 0x612ece0e, 0x2d92e39e, 0xc26e8633, 0x1202fa96, 0xcc2488a8, 0xc6c09bb7,
+    0x6ccf4716, 0xc8f13e83, 0x6aa766c9, 0x23336907, 0x683590b9, 0x8e462d49, 0x986343aa, 0xfd155bc1,
+    0x515b4b6e, 0xb62f590c, 0xdb113b9a, 0x15043b0f, 0x5771c856, 0x80a1e303, 0x89fa737b, 0x05c55645,
+    0xf9c5d2f5, 0x37b5dab9, 0x9e37b551, 0x52e79be8, 0x94b85d45, 0x5b57c3b4, 0x0788974e, 0x8ad34991,
+    0x7d812720, 0xfe85c9c4, 0xcd7d144d, 0xc56ec2be, 0x9728b52a, 0x5c058f17, 0xbe07a632, 0xba2a0aed,
+    0x865613ca, 0xb1dbe57d, 0x3cf254f9, 0xbfcfc7db, 0x01d91cf5, 0xd6f198f0, 0x2164552d, 0x29d1398c,
+    0x811eb89f, 0x11ce865e, 0x0c96bc4c, 0x288f7184, 0xf905cac1, 0x944d0ace, 0xa3829b7d, 0x36067c7c,
+    0x87deb155, 0x631fa85e, 0x16774b80, 0x03b0e2bc, 0x54ea0802, 0x0a9535c8, 0xe6f1a713, 0xa8ef3e94,
+    0xc4adc7a8, 0xb52323fa, 0xb9bb320c, 0x3b16c5be, 0x4aea3644, 0x6b3fa6fc, 0xe81ff470, 0x9092abdd,
+    0x04edf937, 0x09436685, 0xb5f33783, 0xda144664, 0xdeaf131b, 0x6f9479b1, 0x29ee8f4b, 0x599fd10f,
+    0xb5f4f9e4, 0x5bc712cd, 0x68c06a5a, 0xcae8f7d4, 0x1e1d3613, 0x63454075, 0xc18fc567, 0xf719e8bd,
+    0x1e268078, 0xf81f9905, 0x200215a6, 0xfae2be4e, 0xd0959fe5, 0xf64dea54, 0xe8b87282, 0x98b6f30d,
+    0x560cc5d4, 0x80e1c09f, 0x6b999693, 0x657a2666, 0xd4663315, 0x89cb0e34, 0x06ddb770, 0x87424ca7,
+    0xe001f676, 0x937d3801, 0x4cda66b0, 0x6337c215, 0xbb5e24d8, 0x115acb26, 0x1cf3822f, 0x8f3e0527,
+    0x6162c81a, 0x75071f7c, 0xd2b4db39, 0xe30f82d3, 0xc2b8e410, 0xe2d49d7b, 0x967b976e, 0x913afc37,
+    0xf186faa2, 0x5b1c1180, 0xa82f87c5, 0x20c0e35f, 0xea748d0d, 0x137a26d7, 0x16609993, 0x915c25f8,
+    0x3e0a8970, 0x47aeae27, 0x8d246472, 0x77ba8ef5, 0x44f4defc, 0x6d6ed818, 0x2d80e7c2, 0x260812b2,
+    0x3ce01276, 0x1277623b, 0x57822da2, 0x37a3ac8c, 0xa9c26705, 0x55abd6f7, 0x6864f466, 0x3a8310ea,
+    0xef9b46d2, 0x12ea5eb4, 0x711f9f79, 0xd8ae1f81, 0xbb71e6b2, 0x47ed9c67, 0x8e716fb4, 0xa2c2d3c4,
+    0xbd99a22f, 0x4950d541, 0x9417cd69, 0x6c890d4a, 0x87ca2f78, 0x1a190984, 0x751daa1e, 0xd73100e1,
+    0x2a933fd1, 0x49abae79, 0x318e400f, 0xa48fb8d5, 0x65875577, 0x13b30a5f, 0xf71c94e4, 0x99751f8e,
+    0xc1186c29, 0x045d2fa7, 0x36cbcf2e, 0xd63c79cc, 0x0bc09af3, 0x288ad494, 0x9995f803, 0xffdde782,
+    0x7b2e4479, 0x9a9f43c7, 0xa13c227a, 0x076d51a7, 0xffe9e74d, 0xd50c228c, 0xbbcf9608, 0x57f5e60e,
+    0xcc34dcf2, 0x7b072a08, 0xac99ee6d, 0x165e1979, 0x40a8f7d0, 0xcbd3afe6, 0x225c5dd0, 0xcd1f22ba,
+    0x8ec93885, 0xd4fd32ac, 0x1a637f82, 0x44583f80, 0xb43b055f, 0xbed01dc2, 0x293fcf29, 0x4c00ef0a,
+    0xbb547b57, 0x1407f5c9, 0xa2a490f8, 0x4cd2eb72, 0x18c93331, 0x3d2ce0f6, 0x6a44a7da, 0x0172fa88,
+    0x031b072a, 0xfc0949b7, 0xc3e42a62, 0x6f4d9ea5, 0x4a477e65, 0xe44c547c, 0x0a5178fd, 0xed305d22,
+    0xddb19ff1, 0xf6057216, 0xaab7d050, 0xe75c6159, 0xccf6f069, 0xfa3e8860, 0x51d37ab0, 0x16fe9527,
+    0x4503a5bc, 0x51af2458, 0xcd4cbee9, 0x755aa17d, 0xd1732ca8, 0x35ef0964, 0x2acea10f, 0x069b02d1,
+    0xf95ef0f6, 0x6ea4856f, 0xd0c3b80c, 0xbf75d4d1, 0xb302722b, 0xb67d8c9a, 0xd19f140d, 0xfab12857,
+    0xca9c5908, 0x7c876d84, 0xe0bc3752, 0x7df7151b, 0x48a7e09d, 0x277e5802, 0xd52d2dd2, 0x13ad2360,
+    0x1ec9bf6e, 0x202e9b4c, 0xb716fc98, 0x63f4ffb5, 0x98cb9302, 0xfa6ace7b, 0xbf779aef, 0xf1688088,
+    0x709f88e1, 0xd5869b48, 0xcfb65603, 0xa3e0fc98, 0xcaf82cf2, 0xd051d62e, 0x597d37af, 0x1464682b,
+    0x20d7da3e, 0xb63c36ce, 0x8e27b3ad, 0x38b3596c, 0x68ecc5ed, 0x07098e8d, 0x41ca0d45, 0x6d4f0602,
+    0x0a46023a, 0x544d8d5f, 0x7f5ffde1, 0xdb86d7b9, 0x9233b195, 0x4c0e85f6, 0x8f17e242, 0x0654ecf1,
+    0x52291621, 0xfade0f73, 0xb3301b24, 0xd205a98a, 0x0291c766, 0x0d132cb6, 0x3b8d94ce, 0x0b4faf16,
+    0x40e95c45, 0x7d0a2f63, 0xa9028b56, 0xa1024498, 0xf1c7e7ca, 0xc678c11f, 0x3e693876, 0x0dc715b9,
+    0x874c1495, 0x693d4ca9, 0xc0e06c1e, 0x3c72dcd2, 0xde346f09, 0xc6cb43a2, 0xc1c5ae64, 0x71f6da39,
+    0x96ef2f09, 0xeb9ee9a6, 0xdc345c3b, 0xb9bac18e, 0x2f084b24, 0x7cab0c63, 0x6bc04168, 0x46e3e7a9,
+    0xc08cbc7d, 0x42b223a2, 0x36577f73, 0x21bb2d4d, 0xae7e4471, 0xdcb507e3, 0x23f50a23, 0x7cd82ce2,
+    0xfc6a7d01, 0x3a619f6d, 0x47b14ca9, 0x45a8bf88, 0xd0b0a170, 0x6b10f901, 0x5def1575, 0x508ccc7b,
+    0xd6829be7, 0x7012ac7a, 0xb14efdfc, 0x520979f3, 0x86bc0e37, 0x74b568ba, 0xd31444e4, 0xbe635fd2,
+    0x8801c684, 0x18d19f1d, 0x6955b165, 0x8c34192f, 0x829b1698, 0x4025c6e0, 0x7f7aaf55, 0xc02fd808,
+    0x1fdaf863, 0xc439956e, 0xe015c005, 0xa5a5fdd9, 0xf621aab1, 0x306d9c67, 0x392a6487, 0x9708c62d,
+    0x56d99e5f, 0x7f3c0220, 0x11a31174, 0xdf4f478f, 0x72f05bbc, 0x5ee3272e, 0xa0d8d65e, 0x4250ce87,
+    0xf2cc330f, 0x1306e62e, 0xaef8c0e4, 0x0de02b11, 0x33300cd9, 0x1ca279ed, 0x3dae2632, 0x3da2e4a2,
+    0x7ff21b1e, 0x26bb0e31, 0x9904b14b, 0xbc52b0b7, 0x9b4a5b92, 0x282c1ead, 0x6d84998b, 0x20e582e2,
+    0xb2b96a1b, 0xad9b5787, 0x98a65501, 0xa99ca447, 0xd7952c96, 0xc7c28364, 0x7eb3a91b, 0xbb1a8ca1,
+    0xda41fdad, 0xd8d15cc9, 0x1d153256, 0xb5da4397, 0x07fc2e98, 0x8a6a33f8, 0x15a9e7a1, 0xec1e8f99,
+    0xac36caeb, 0x60ba707a, 0xd29f2f23, 0x22ff7cdc, 0x7fc06e25, 0xa33a12da, 0x8f3dde2b, 0x86be319c,
+    0x8ea8aa13, 0xb1ab36e9, 0x8fb23a22, 0x93fd8b59, 0x4413cfc2, 0xf8b84cf3, 0x955c6317, 0x1363de68,
+    0xa435803b, 0x5bf4887c, 0x9d538526, 0x19a05e3f, 0x27a9766f, 0x1d51a0a5, 0xbc1336a4, 0x39dbebb7,
+    0x7102ae19, 0x656a1e29, 0x8214fbaa, 0x6e8e36c7, 0x84c960cf, 0x5737945c, 0xc1e8d4b0, 0x0fe64c50,
+    0x3344c336, 0x677144e4, 0x108677d7, 0x8ef80557, 0xc6a6f282, 0xbbd62921, 0xfc14b86b, 0xb9037697,
+    0x15c79767, 0xe9cf1d83, 0xc4b783c3, 0x565f3260, 0xbae28516, 0x1ba01d50, 0x28750285, 0xd9afdd8c,
+    0xef394ad1, 0x5de15d4d, 0x136eafde, 0xd8399f60, 0xdf845ae7, 0x00d4400a, 0xc893b701, 0xbfd67c3c,
+    0x542d9991, 0x55c071cb, 0xd85c4d44, 0x8711c255, 0x6bfe0539, 0x46b602c8, 0x3576353b, 0x19110c54,
+    0xdeab6913, 0x52b6ab46, 0x3b8f63b1, 0xb38f5f05, 0x75c5df07, 0xec857d23, 0x2a190c9a, 0x07fafc1d,
+    0xd02f37ab, 0x36900375, 0x8e9cc281, 0x06b61297, 0x469df940, 0xead922c0, 0xc58de519, 0x41fa13d2,
+    0x72bd0fcc, 0xabd5fc46, 0x963860ca, 0x66746386, 0xa57deae9, 0x43f914cc, 0x9e9fc0fe, 0xd79781f5,
+    0x1513c78e, 0xde8a26cc, 0xcd8a7fb0, 0x44b993ec, 0x2021bc65, 0x971c7eba, 0xaf309670, 0xacbb2c39,
+    0x074efea3, 0x872a0e28, 0x539d7ab0, 0xa6df6222, 0x2cf9398c, 0x99b5a968, 0xd73e19af, 0xa811f612,
+    0x467631fa, 0x85bd04ae, 0x74a05e52, 0x01c1033a, 0x51db33a9, 0xc83a4765, 0x35ab226d, 0x1bbdc482,
+    0xc830c430, 0xcf546936, 0xc1046db9, 0x1f5ace53, 0x4697b4fa, 0x7616c879, 0x1e456ee6, 0x4b94edac,
+    0xe025d49a, 0x1c902440, 0x16fc0913, 0x2ea58cdd, 0xb4dec030, 0x90a49240, 0x14caa55b, 0x3f0f3b4b,
+    0x63592cc9, 0x1a5480e4, 0x9cf368a2, 0x81622fa6, 0xd9c1c2ae, 0xfa7337b0, 0x51535dc7, 0x5614be8e,
+    0xf6c7a801, 0x051f6ef9, 0x07d1b5bd, 0xfb446b60, 0xeb6b35d8, 0x31265d71, 0x62382484, 0x44c0c4f1,
+    0xbe9a7fca, 0x593d18dc, 0x4a1a1e8f, 0x04898aa3, 0x7eb969b2, 0x1c72cf59, 0x1d82f862, 0xba59e746,
+    0xf9e3e003, 0xb25a0762, 0x4728faf4, 0xe6c70c85, 0x7a20cdfb, 0xee92e74b, 0xcf37bbd3, 0xe83333ba,
+    0xc43cdaff, 0xb12ee63c, 0xe08f9fbb, 0x7be91541, 0xfea5076b, 0x22e1be91, 0xcd56cf12, 0x32487584,
+    0x7cfd170e, 0xc19172a2, 0x4324e515, 0xfc509c17, 0x36d8783e, 0x22031e1b, 0x9a7a62cb, 0x229012c4,
+    0x1912fc4c, 0x0ecbcfe3, 0x9bba0cda, 0x7763230d, 0x2c9b7fcf, 0x0f568bf4, 0x01e22b00, 0x73a0bb17,
+    0xcd3336cb, 0xf4cf9fa7, 0xf4f63725, 0x8c16dc1c, 0x18032074, 0x3860c40e, 0xd675a230, 0xd3cae513,
+    0x9e6b1b0f, 0xdcc3dc4e, 0x6f0d154b, 0xfb8655f3, 0xcee3f298, 0x8d683d2a, 0x192e5c4d, 0xa515bc76,
+    0x5c130de0, 0x4b1d3d26, 0xdb9beac9, 0xb1df2352, 0xe9f2181c, 0x17a79137, 0x70e4a00d, 0x78a65ac2,
+    0xf234526a, 0xa0a47a4d, 0x59baa50a, 0xcab416e2, 0xbeef6f1d, 0x5725240d, 0xd121ab5b, 0x5dc99c83,
+    0xe09a854c, 0x3be3ace9, 0xc65ad606, 0xab4afa35, 0xfc3d73c6, 0x55af0f38, 0xda76732c, 0xaec18a52,
+    0x6cfa0794, 0x2e29a5bd, 0xe0b1973a, 0x95af0e4c, 0x89ca32bb, 0x6e82f90c, 0xc1a96f30, 0x9f56075e,
+    0x4a6f90e1, 0x8166532a, 0x522d08fc, 0x8cf454c0, 0xeb447057, 0x2b36a016, 0xd2ba775b, 0x7c6853f6,
+    0x47aed661, 0xed9f71a1, 0x7d863cda, 0xb35e603b, 0x6b91c662, 0x33ae36a9, 0x90d5e200, 0xb4185e76,
+    0x2aed8447, 0x5d95b1e7, 0xa6c5524d, 0xd65bdec9, 0xdc8dad96, 0x3a020f3e, 0x26c32691, 0xe6b658c1,
+    0xffb0adba, 0xe89e2e76, 0x44cfc01d, 0x51a09198, 0xdbd9c0a2, 0x329f2468, 0x3d27dafe, 0x99c28fa3,
+    0x11684028, 0xdf3e5daa, 0x229efbfa, 0xeb2479cd, 0x796ab93b, 0x39d351bb, 0x34d4360c, 0x5d67f7c1,
+    0xc4115d17, 0x743cb8b8, 0x590d3d03, 0x87eb9399, 0x5d58a281, 0x785f44aa, 0x6ae07599, 0x6b8d72e1,
+    0xd9d5acdc, 0x7350e638, 0xff07948e, 0x98c242f4, 0xfb1906cf, 0x7d2f373c, 0xe1a40a71, 0x32843b2f,
+    0x7f1d1ff4, 0x385de907, 0x716b3fd3, 0x1a921402, 0x4622e8b4, 0x181d11a2, 0x6194278a, 0x2aee7ac0,
+    0x2208fd63, 0x6d7fd4c5, 0xbd29885e, 0x0dc1c781, 0x4ee13754, 0x2701ce73, 0x8237a85e, 0x929e026b,
+    0x3a21a13b, 0x9d2edc6c, 0x665ea43d, 0x3ecd33a7, 0x99eb2f9e, 0x8d115190, 0x8bf8e04f, 0x7b1a147d,
+    0x1f74dae4, 0x1b1977a5, 0xec57063f, 0x89d49e2e, 0x32fa4866, 0xaf50f269, 0xfc2da282, 0x68f31b15,
+    0xaf60fa9e, 0xb50e3707, 0x9bc354b6, 0xbae4c7c0, 0xff7e319c, 0x9cabf38d, 0xf60192eb, 0xc8d12299,
+    0xc1cc8594, 0xfcece6d6, 0xb1ad3018, 0x495fc709, 0x4b4d29b4, 0xbe27cd7b, 0xde2fa889, 0x262f27da,
+    0x2802c9fd, 0x5a8bbc2d, 0x7b9a1443, 0x52c69e0c, 0x62cb482f, 0xc6fdd608, 0x5bb151a3, 0xa86e46c2,
+    0xba69c151, 0xdf72e967, 0xe14c317a, 0x6aabf9c9, 0xf99f5b35, 0xdfedd50d, 0xca2812a4, 0x86a0b1d7,
+    0x16062521, 0xedf5a4e6, 0x38835f57, 0xc7311792, 0xa8ab1a1a, 0x94beb2e8, 0x85a6e531, 0xfc7a07cf,
+    0x1e43e298, 0x2cffbf3d, 0xdd3ccdba, 0x8506515b, 0x50d6d872, 0x95b33a59, 0xe9ae61cf, 0x3c2910e3,
+    0xa1924aa8, 0xb02c9bd2, 0x15d770e5, 0x12848777, 0x2f32fbcc, 0x40728ce9, 0xb0d49e0a, 0xe2ddc09b,
+    0xd4cc03fa, 0xd4af5ce6, 0xe3170de4, 0x610b4783, 0x4d213ed3, 0xe0b91ae4, 0x9e870b0c, 0x72cf2138,
+    0x3fc5fe53, 0x745834d6, 0xc8ee15db, 0x2184e3aa, 0x977c9b92, 0xbe4b6d57, 0xc62a716c, 0x73a50fdb,
+    0x5f2004d6, 0x51952ef8, 0x4bcf0476, 0xa1984af4, 0x9eafcae0, 0xd57faae5, 0xf3d1d7b8, 0x5a293af5,
+    0xfa19feb8, 0x39299adf, 0xa602201d, 0x4d401d36, 0x2bca9e63, 0xf33c671b, 0x5290f902, 0xcc3cd0fb,
+    0x41b90f48, 0x5728f1cf, 0x2b3ca8d8, 0xc531b3ad, 0x31fb5f04, 0x92914cd6, 0x215f19c8, 0x3dec2021,
+    0x3059d4ae, 0xe08f0eaf, 0xc90f322d, 0x602cdf17, 0x70db5c39, 0xa05fe6ef, 0x38b9366a, 0x696e3532,
+    0x55f524b4, 0xf9bca949, 0x86e722fc, 0xd3c9d73f, 0x8fd6bf5e, 0x39612ad6, 0x6d9cd637, 0x49c73ed2,
+    0x40baa4bd, 0x822b00f3, 0xc34f8527, 0xe4d774a8, 0xc8d4fceb, 0x1c5ed4a3, 0x6bc24067, 0x0941a45c,
+    0xeb708f30, 0x1dd4c94b, 0xd83453c0, 0xff8b2923, 0xdb927bde, 0x31c9139f, 0x20677f22, 0x554c195d,
+    0x933a5ca8, 0xae6e2774, 0xa4f15e5e, 0x0da0d10c, 0x1075cc07, 0x83ebce99, 0xb156140b, 0x956186d5,
+    0xbfe28a55, 0x2f9b9883, 0x304b42c7, 0xba8b4862, 0xba18dd51, 0xcd3e9a52, 0xbf9e416d, 0x3466c8fb,
+    0xa95d8693, 0x39a66a71, 0xf2c2b60c, 0x9f4603fd, 0x8a277447, 0xa5172f97, 0x85bfa035, 0x6d94e546,
+    0x2e907abd, 0xd7ed4bd7, 0x9bb87384, 0x41261a15, 0x26a45e74, 0x54ee8360, 0x87ecca87, 0x76338351,
+    0x443306a7, 0x20444db0, 0x9fbcf185, 0x124165e8, 0xf63fb391, 0xe3931a1d, 0xba3b74a4, 0xb14853f6,
+    0x2908c8d3, 0x617b948e, 0x351796d3, 0x1cdfc1c6, 0x6d8d8169, 0x80473b6b, 0x0b4c84d2, 0x96eb97a8,
+    0x64a370af, 0x0d27de6b, 0xc0e40eb0, 0xdc33245d, 0xf25945f5, 0x8ce9dcf1, 0xf88bd44f, 0x4fb2e40c,
+    0x22a06296, 0xf0b41af3, 0xb063570d, 0x3695fab0, 0x80269d80, 0x767d62f7, 0x879cbddd, 0x8e69d582,
+    0xb5968fab, 0x3038d336, 0x066ff06c, 0x32f5cf97, 0x202405e6, 0xfbd1a7c4, 0x270b8feb, 0x85f71f8f,
+    0x7a56061b, 0xb0614d92, 0xbc3582e3, 0xe9097b5e, 0x31c59b12, 0x33cf87a2, 0xf4219e0f, 0x77e3b108,
+    0x6e9c60c1, 0x3d32ee36, 0xedf5128e, 0x576c9f00, 0xd9160d2d, 0x50392e98, 0x76673b9e, 0xf7018ec1,
+    0xdb034a3f, 0x8b66badc, 0xf1fa5ded, 0x9fda15fc, 0x2374dc50, 0xc5138ebf, 0xcf19b190, 0x0192f8b9,
+    0x07310b85, 0xa9a88d35, 0x6ca8d9b7, 0x12a91edc, 0x719d308c, 0xfd841284, 0x0f8117b0, 0x0dbd05a7,
+    0x7e0a33d5, 0xf42d448e, 0xe8d55edd, 0xcce469a4, 0x269c7f58, 0x6d97f9c0, 0x9b97652a, 0x9f3345c4,
+    0xa68119e9, 0xda084e1b, 0x0d93d12e, 0xf3b02e1d, 0x2b574f42, 0x5201069b, 0xb2d45091, 0x1287f1a6,
+    0xbb1f0f86, 0xb01f6256, 0x2b569fb6, 0x38bdc977, 0x48b5940c, 0x47532384, 0x7d27f4ea, 0x6094856c,
+    0x5ba8fdfe, 0xc70786bd, 0x3fbad125, 0x0dc60527, 0x9d703762, 0x1ee1a952, 0x65fe392b, 0x5def00e0,
+    0xfcdfbe1f, 0x4588b0fb, 0x7960a291, 0x9bcb39cb, 0x6d62adb7, 0xd0297af2, 0x7fad04b8, 0xeb1b6880,
+    0x73374265, 0x91be4c12, 0xb8c8e9ed, 0x60530733, 0x04c21af0, 0xbfd04860, 0xf35e36a0, 0x83ddac76,
+    0x94e01b42, 0x1c5b76b3, 0xe68ad2f4, 0x4b4b569a, 0xa545986f, 0x66785779, 0x07a9e411, 0xce153db7,
+    0x00000000,
+    0x84bcd1b7, 0x000d49a7, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000001125899906842624 */
+  { 0x00000000,
+    0xa0d54615, 0x8ff8945c, 0xb2586a41, 0x4b37cae8, 0xc766f793, 0x4a7c748e, 0xd904ad27, 0x80a7274c,
+    0x64f0614e, 0x88c5b290, 0x3c61d0bc, 0xafba791a, 0xcb2fbd20, 0xee92286a, 0xe53623e7, 0x79abade3,
+    0x8886b817, 0x8e8ad200, 0xdf553266, 0x0dcdc908, 0xcf8f51c2, 0x519b4f91, 0x14896839, 0xc9d95106,
+    0xc8dc54ec, 0x43b9b5a4, 0x2365c414, 0x19fa38b4, 0x1ff78081, 0x7714888b, 0xefc27d2a, 0x4ef3d449,
+    0x8ab9d473, 0xe42b6e6e, 0x21756d2e, 0x15b4a11c, 0xb1dcc457, 0xa761de40, 0x8ab7af88, 0xe9c51c70,
+    0x8cdcf02c, 0x0abacf12, 0x0a11392c, 0x2f76e2c5, 0x7a164599, 0x5f1f7d19, 0x26967c05, 0xff847ea2,
+    0xf48dd41c, 0xf7f43ab6, 0xbdaccb14, 0x9523e20a, 0x5637ce0d, 0x6f3bc5ef, 0xa785e280, 0xd55056d3,
+    0x1d9b95a9, 0xc8276a45, 0x6ff5d4e7, 0xca2a923a, 0xc0f1fea7, 0x3b5e2ec8, 0xb88d9a8c, 0xded0120c,
+    0xad590955, 0x34eafc8d, 0xb9814a81, 0xdf91e4fb, 0xbd77c5c8, 0x70d55105, 0xaf34b97f, 0x4bf384a6,
+    0xb4879ab6, 0x149257b0, 0x4037b411, 0xa4558dcc, 0x8a484925, 0xdd4125f8, 0x82cb96e5, 0x71807a05,
+    0x209ee40e, 0x86ad5c79, 0x4ef133ec, 0x2bb52b46, 0xfb1bd171, 0xfcd73998, 0xfeb5f502, 0x61f65ed6,
+    0x72aa2610, 0x191cdf54, 0x7df235f8, 0xbc8ec94b, 0xaf5f4234, 0x073621c7, 0xe36b1a88, 0x0db58203,
+    0xabd9c573, 0x889373a1, 0x4aa8e33f, 0xef3f3827, 0xaa0b07ae, 0xbbb030da, 0xff0c0c8a, 0xd7d8fa3d,
+    0x3aa87fb2, 0x72c75d42, 0x3d4cd69d, 0xac1e4c10, 0xadf48676, 0xbd68f808, 0xf04c706f, 0xaabf706b,
+    0x5338b752, 0x306d3ff0, 0x57cfeb55, 0x60c914d3, 0xebbe1a53, 0xa02c16ba, 0xad18c529, 0x76188774,
+    0xf302fd2b, 0x6cfa67b9, 0xbaa16910, 0xf858204a, 0x2ce3336e, 0x6a1b616b, 0x8b1eba9e, 0xed65ee33,
+    0xfea8c28b, 0x53ed9cb1, 0x817e5973, 0x75560161, 0x329228ce, 0xd33d617b, 0xf790d79e, 0xbc7e655b,
+    0x46a2d796, 0xc8812ab2, 0xb473d74d, 0x734a28e7, 0x5e355531, 0x72331cfc, 0x01f54393, 0xc3bf0736,
+    0xb2efc080, 0x96f419a4, 0x90d883fc, 0x97751081, 0x9d063143, 0x59123ff0, 0x6fe40ac3, 0x4639ca71,
+    0xd88ffbe3, 0xa28ac6b1, 0x1b783e73, 0xcbf35f29, 0x338e97b4, 0x5f95124a, 0x4e29cd3e, 0xa7faa884,
+    0x1dacf27b, 0x55cbcd03, 0x1147640d, 0xc62ebc71, 0x94239c55, 0x268f5199, 0xedf1e867, 0x523e07ec,
+    0xa65b11f7, 0x5fc3a030, 0x2687b166, 0x798f0fd0, 0xd8aa46b8, 0xff0c883a, 0xb1bce72e, 0xa67cf80b,
+    0xa20630e7, 0xf3344902, 0x10112301, 0xbaa94909, 0xbe6307a4, 0xbd1366b6, 0x68f5f791, 0x671aa746,
+    0x30a6620a, 0x730f0224, 0x5f348c50, 0x18bec4eb, 0xcd202a12, 0x7adbdfc3, 0x367117c4, 0x6613e83b,
+    0xd81a1b5a, 0xf6f2f72d, 0x9b61eaf5, 0xaeaa74b6, 0x1ff8c71a, 0x66dcc894, 0x1593c125, 0x608db48d,
+    0x3f8791e6, 0x10649860, 0x9e9671d9, 0xa2c0cfe3, 0x82ea3a89, 0xe515e498, 0x1527e1df, 0x83629390,
+    0xcae54db8, 0x623266ba, 0x6c795159, 0xd5ebe093, 0xe79900c7, 0x7a76e40d, 0x57c16026, 0x61a98f39,
+    0x8437a6eb, 0x51f5f427, 0xb42e38a1, 0xde41f8fb, 0xd9157bff, 0xc309e3e7, 0x6f18ad33, 0xd499f8a3,
+    0x262d405b, 0xd7c6bb2e, 0x66ffbc28, 0x76a18576, 0xc5bb4024, 0x0d321b5f, 0xdba54f35, 0xcbcdf526,
+    0xa9b20a66, 0x7ff110b2, 0xa62726d1, 0xb8d933a4, 0xca605cf5, 0x033350c4, 0x4fae63ea, 0x0e82552c,
+    0x48bb3a88, 0x1758df91, 0x843f1cd9, 0x26ce770c, 0x44748a39, 0x41ace31d, 0x8c774ed0, 0x32cca2c5,
+    0xa62a0756, 0xac898a94, 0x3a889f05, 0xb4af2df1, 0x08f1f479, 0xc967b686, 0xe98a8bee, 0x2b7d20b5,
+    0x0b653cd5, 0x32a63fbb, 0xef9c44c0, 0x6329124e, 0x4850ac4a, 0xdaec040c, 0x187aae56, 0xe86f472a,
+    0x07370304, 0xabfd6932, 0x751c33f2, 0xc959504a, 0x9db2e654, 0xb164d4a7, 0xa45962ce, 0x81c85e59,
+    0x8807746d, 0x14be7afb, 0x7f099bea, 0x1d4b6b2b, 0xa941c8b0, 0xab6197d6, 0xa51e7cb1, 0xc526e6cb,
+    0x6376f480, 0xd73a7c36, 0x99c7ec80, 0x2fd0d2f1, 0x8b9fb419, 0x79fe8690, 0xd043a757, 0xf7e6f787,
+    0xb5164ddd, 0x91de25d1, 0xde2b08ca, 0xa4795059, 0x9256faf6, 0x0979a068, 0x38ba616f, 0x54af8b58,
+    0x5389b58e, 0xe31ff1d4, 0x2173d103, 0xbd7fcfe3, 0x5ad12041, 0xd545800a, 0x32314f2d, 0xbf5547df,
+    0x4d6cb57e, 0x3951c7ef, 0x97ecf28f, 0xe4e8ec62, 0x5ea536cf, 0xc1c84575, 0xbaebd3fe, 0xbd18caa0,
+    0x7c9ac480, 0x2232a7d7, 0x86158127, 0x447e56cc, 0x833e6f7a, 0x2ac4b0c9, 0x46e91375, 0x3f8c1887,
+    0xbac8fb0f, 0xcafed1df, 0xb781e7c4, 0xe51b0358, 0x2236e6ec, 0xfe319a8d, 0x4373abc1, 0xbbd91f23,
+    0x17e5a7c3, 0xbd9908ec, 0x3235f693, 0x36f047e9, 0xafbe59e1, 0x96064fdf, 0xa6d705bb, 0x7dea85e7,
+    0xa960e454, 0x7d6bad78, 0xfaa243d6, 0x0917c61e, 0x7a4ef00e, 0x4f0808a7, 0x250ce96d, 0x0eeb24ff,
+    0x715aeb9d, 0xec207701, 0x2c67bcaa, 0x46458d02, 0x85e02282, 0x1ac23524, 0x2c64624e, 0x631250b4,
+    0xcc95af03, 0x3648f0f1, 0x6d0bf94e, 0xbe8b08f5, 0x7ffa554c, 0xb7d28597, 0x77a28b44, 0x56fb6193,
+    0x1bf49a63, 0x7ca40030, 0x960bca99, 0x79866f65, 0xd4e081e9, 0x9286f387, 0x79a0167a, 0xe4488236,
+    0x4b36a606, 0xbe5a8400, 0x467d5796, 0x15334107, 0x82e5cba6, 0x2ac78da6, 0x3138c77f, 0xfe66c675,
+    0xe35e23dd, 0x26695940, 0x0259bef3, 0xb4f1f60c, 0xc31733ee, 0x49fa191d, 0x160b0772, 0xd2d5e418,
+    0x76842c12, 0xf52fb925, 0xe4aaee87, 0x258fd1fb, 0xbf4a1c21, 0xd7775d87, 0xf809c147, 0x3a1221cf,
+    0xe209b9a9, 0xfd90b3c7, 0xc360a337, 0xb2cb41fe, 0x2e8326e0, 0x24679278, 0x66ae2bbf, 0x756699ea,
+    0xbbe59f5b, 0xe82d9432, 0xb68756a3, 0x875e522d, 0x37970e83, 0xe5df1b9b, 0xb1f1460a, 0x859c5b87,
+    0xefd16260, 0xd11e505d, 0x14f1ef16, 0x5a3b848f, 0x38853b1a, 0x047f05f6, 0x5b3ed4ce, 0x050bc473,
+    0xea83c697, 0xfc6093c5, 0x0fad8dda, 0x08b5460e, 0x1687cb0c, 0xdbab3345, 0x9acfc98b, 0x76b5c151,
+    0xddd993e6, 0x167acbe9, 0xb5e2bbae, 0x571895b2, 0x4b93df84, 0xec96fd6d, 0x13655746, 0x6c90c1f7,
+    0x667b7c7a, 0xf1fbf60c, 0xce817b23, 0x7b5abece, 0x608b07e8, 0x9e66e0c2, 0x3100db3d, 0xca539036,
+    0x6df33ef5, 0x76234713, 0x07bae202, 0xcbb6b2d3, 0x0e2bd05b, 0x34d616e6, 0xbacb4b4e, 0xed70d529,
+    0xd94255da, 0x6b4ca05f, 0x4c9575bc, 0x708abc5b, 0x37bf74de, 0xc839682c, 0xe2d91853, 0x43120e87,
+    0x4bbc6420, 0x97019f03, 0xe433c176, 0xca88528f, 0x1c125287, 0xcf5556e6, 0xc8aec1a4, 0x4ab6e090,
+    0xf5464b52, 0xd77ffc6a, 0xf6796bad, 0xa0271f2f, 0xbf3540d7, 0x1ca24710, 0xef8494ff, 0xec4720ea,
+    0x03929b64, 0x8f091b83, 0x2558dcfc, 0xa0672113, 0xe4e65515, 0x878b0c57, 0x59b2f704, 0x7f503a51,
+    0x7475e643, 0x151c4c5a, 0xab13b274, 0x711263ad, 0x7e229fad, 0x92b59a22, 0xc4ee74d0, 0xb6dbcdcb,
+    0xd87610fa, 0x3936ef8c, 0x1edd8086, 0x49f2c3ae, 0x87336a43, 0xa4a0a738, 0x2216346f, 0x400c35d3,
+    0x716b8efd, 0xddc24c95, 0x46f5ddb2, 0x3edf2ab1, 0x93411502, 0x331db7a1, 0x6fcea5a6, 0x1f25ce05,
+    0x6662193c, 0x6875a46f, 0x30f134e4, 0xe553d4dd, 0x32fda7cd, 0xbac8fe76, 0x88acf48b, 0x902753a9,
+    0x01d5ec1f, 0xc5ed8269, 0x1e4a667e, 0x4f83e096, 0xc326d8e1, 0xe79543c6, 0x773ee10e, 0x78b17fa5,
+    0xd71f6aca, 0x54121b95, 0x57dd5f76, 0x4abef52e, 0x3ff3514d, 0x5eae9e05, 0x374f2a87, 0x0a98223f,
+    0xbfa4f9b1, 0x2b9d2e34, 0xbb0dc66f, 0xb556e923, 0xa1653537, 0x4a9439f4, 0xc11df0c0, 0x4018a9ef,
+    0xde03bf9a, 0xae2a5903, 0x00bf1086, 0x759a4d4d, 0xa5bf27fc, 0x6f737a74, 0xcf7f8594, 0x376af9c0,
+    0xfe67d2d6, 0x39c64955, 0xb27cabf4, 0xbe8b9dd4, 0xd69652ec, 0x161c7fac, 0x3cfbe55b, 0x57d34771,
+    0x17472a1e, 0x8e627cb9, 0x4887392e, 0xf28bc4e0, 0x9c891c1c, 0xdf47e859, 0xac992cf7, 0xaf57ebda,
+    0x49163084, 0x3300b0c3, 0x11e25937, 0xbece2b70, 0x95b4f72f, 0x0bc05e98, 0x6914224f, 0x68dcf9e3,
+    0xe537545f, 0x51f35625, 0x2ce4150d, 0x49ec28a3, 0x2860e918, 0x53f39305, 0xf0679fb2, 0x119f5380,
+    0xd9b8152f, 0x37955093, 0x691991a7, 0x37e4f708, 0xab73660d, 0xba569d33, 0xe4dfc4ac, 0xc1f8cf14,
+    0x752e9427, 0xc4d65ed5, 0x43b0a1d3, 0x757dd734, 0x45874138, 0xad7e6dda, 0x11b09a5a, 0x41298282,
+    0xf6b34c33, 0x37add8b4, 0xd45e2fda, 0x24582381, 0x7fa155ba, 0xdb89095d, 0x94969527, 0x002c37fd,
+    0xfc271eeb, 0x2487878d, 0x99824d53, 0xb588a13b, 0x2361455b, 0x721ac753, 0xfff5aeb1, 0x9255e480,
+    0x5caa1e89, 0x7bd92624, 0x29fc7a7d, 0x14c45969, 0x6a69723f, 0xa99d6bc6, 0x053cca19, 0x11eaea97,
+    0xdcddb638, 0xeb4c9b73, 0xcb57fc3f, 0x2541ac21, 0x46644417, 0x4f055809, 0x08cbccda, 0x961e6f14,
+    0xcfedff4c, 0xd033f29d, 0xf2f895e6, 0x816e6c7a, 0x7df6fa46, 0x929d3889, 0x13b35b7f, 0x5f5a6123,
+    0x72ce7699, 0x8798ba91, 0x65424284, 0x176b4acc, 0xeb727fc0, 0x858a4e36, 0x05be6912, 0x288be068,
+    0x0ba898bb, 0x92a2317c, 0xa378763c, 0xc59412ac, 0xd2bc93b8, 0x0262d75b, 0xd2a4e6c8, 0x5aea9ae1,
+    0x3c2ad030, 0xec7dc88a, 0x41065852, 0x71ba735d, 0xa0da3c02, 0x23c703ee, 0x5cfd8fcf, 0x7fb93be1,
+    0xafb5261f, 0xf19ee2d3, 0x0d935402, 0xb75e1412, 0x0efa972a, 0x956f85b2, 0x0a037cdd, 0x044211dd,
+    0xbb07942a, 0xd1ecc4bf, 0x1a6cde96, 0x747ae1e9, 0x27b3c2ed, 0x2bd1ea30, 0x72f9a9f8, 0x6e1f80c8,
+    0x2aef114f, 0x184a4a0a, 0x0973747e, 0x75a9d390, 0x8b8f4535, 0xa75f7c51, 0xa07378b7, 0x2ea928f1,
+    0x90d23212, 0xec1c21cf, 0x719471c4, 0x7f83e4e4, 0x1ae08c3e, 0x3a389e2d, 0x45d74c9c, 0xa052cd8c,
+    0x699314c8, 0xf0b24554, 0xb9cdb385, 0x122dc2c3, 0xb723a063, 0x6facef12, 0x1dd92988, 0x7097fd87,
+    0xea72ba08, 0xd5ac44de, 0x18c29803, 0xb58ae21d, 0x912cfcb2, 0x2816bd6f, 0x179fb472, 0x99d9ced0,
+    0x73af247f, 0x63fb81b0, 0x1cb145cb, 0xacddc469, 0x4df5731e, 0x795050a1, 0x2d0e7244, 0xb1514e00,
+    0xef1751d6, 0xe58f2a7c, 0xb3475e4c, 0x9dfa2269, 0x62d34008, 0x8ba15c9e, 0x75ae1c3f, 0x098e1a24,
+    0x4557d01b, 0x59d69911, 0x07096672, 0x8dfba5aa, 0xebd8f1b3, 0x3abc0a8e, 0x1898d572, 0xba9d17d2,
+    0xb7992c68, 0x7251daa2, 0x547dc003, 0x9919ff5c, 0xcd9ab439, 0x006cd5c1, 0xaf576c31, 0x7c86331e,
+    0x44fa787f, 0x6800165a, 0x8185555d, 0xce2f4dd0, 0x6f0a7436, 0xb39af4cc, 0x15dca368, 0x9d4a1ede,
+    0xe511f63b, 0x472e6749, 0xc6041cbb, 0x9930e2a2, 0x930e7e82, 0x9df611fb, 0xee61032d, 0x0f9cf4d8,
+    0x8b94a737, 0x364383f7, 0xeba6e5df, 0x8c9ed05f, 0x3d11609c, 0xb6389ba2, 0x584b1040, 0x24b76cbf,
+    0x2c1600f0, 0x39b06200, 0x3faa3b1d, 0xad539a0e, 0x3bce42f4, 0x17a1f9bc, 0x1a175639, 0xb3d4c999,
+    0x0cfe0389, 0xa73505e6, 0x73d2f949, 0xe97048e6, 0x4ef09f1b, 0xeacff664, 0x04c81089, 0x25ccf5af,
+    0x804e6469, 0x077f2f5b, 0xd0399514, 0x11dd5535, 0xebe23708, 0x6ab0519b, 0x5849df60, 0x98da4ea2,
+    0x06563a76, 0x7665cce9, 0xc258ec38, 0x8adfa8ef, 0x8f41952e, 0xdd70c4e3, 0x7e983e01, 0xa9fc5252,
+    0x51847137, 0xec8388d6, 0x524267fd, 0x6d5e8472, 0x0b14888f, 0xbbdee852, 0x35d290b9, 0x459af925,
+    0x1a920236, 0x5bdcee23, 0xd31f3109, 0xe9c9e2c3, 0xb83b9a50, 0x0d682510, 0x1b749af9, 0x342e744f,
+    0xecd6c9ed, 0x39dc243f, 0x15174158, 0xcb398165, 0xa7809985, 0x5192675f, 0x5f59a4a7, 0x56ec31af,
+    0xc86b0e5a, 0x981e99ac, 0xfd87af6b, 0x5e6358df, 0xa7898791, 0xd7ac6f67, 0x8a36e1b8, 0xa2a1ca64,
+    0x588daba1, 0xb0fe09ab, 0xf46053bb, 0x4443fd48, 0x27c02849, 0x448b2d35, 0xb0176560, 0x2a0d4f48,
+    0xb1a5a45c, 0xdc04a51a, 0x5667fcb5, 0x606df661, 0x1028d61a, 0xb53f5ac2, 0x0a8a37e8, 0x2830873a,
+    0x61cf0296, 0x1968049c, 0xdef23b6b, 0xcc5d0b6d, 0xe1d9bc4d, 0x4c84e5e0, 0xa8a8191d, 0xac8e7d64,
+    0x3712da06, 0x7216e581, 0xc72a741c, 0xa0c8df1a, 0x5b6eb4db, 0x103a44db, 0x65c7fc4a, 0xfe3b0577,
+    0xa102f6bb, 0x18289899, 0xdae14981, 0x4cd7f4f3, 0xfcbb2989, 0x24b36135, 0xb7c9b99a, 0x964fe1f9,
+    0x6561c52b, 0xe5d47648, 0x794efee6, 0x35dc241c, 0x34cae341, 0xe93c9d86, 0xf00f7d3c, 0x016d0a5b,
+    0xfe5ac427, 0x5bf6e32d, 0x4aaf97d2, 0x2094e694, 0x728dcb8e, 0xd7e854e0, 0xc0346642, 0x52635292,
+    0x3bf1d86f, 0xebbb937b, 0xba4fef22, 0x28ecf400, 0x376382e7, 0xfa7e880c, 0x00c9a1d2, 0xd769b3b8,
+    0x214263c0, 0xda8f3c38, 0x2ee88ff0, 0xc16db74e, 0x58a7f06b, 0x2a9bd9eb, 0x78f7c06b, 0xf9a8d256,
+    0x5a658f98, 0x0f994742, 0xd70ad62c, 0x6ef11a00, 0xa3527d44, 0xf404f372, 0xd6af0055, 0x3cc2ce08,
+    0xc96e8e37, 0x4cbe37f1, 0x3e08d42f, 0x23cd3a19, 0xaefebf4f, 0x2b312a18, 0x42e0f5e8, 0x697e7878,
+    0xa6ce490f, 0xd26d29ea, 0x0c04d2a5, 0x9affcc3f, 0xdb67f982, 0x9564d2ae, 0x617df64a, 0x3f648158,
+    0x189e5d65, 0x58a8e9c3, 0xfedf0a79, 0x474bc5b9, 0x6e229786, 0xa1ab2a5b, 0x4ea532ca, 0x47122e76,
+    0xee1bbce3, 0x94ce26f9, 0x5543b9b8, 0x82abbeba, 0xe733ca8f, 0x92bb25dd, 0x4776fd85, 0x7bf116e1,
+    0x5fd249d6, 0xf7673b7a, 0x3fab9dae, 0x536ee9d3, 0xb1aff981, 0x26e25364, 0x0ffd6c71, 0xb9a89bda,
+    0xbcd004b9, 0x6b117d44, 0x6b4d8139, 0xe2e83f96, 0xd7fc6f0f, 0x0eabb106, 0x75e5e69e, 0xaea9051f,
+    0x26c9c772, 0x7ed7ee77, 0xf5de8fb5, 0x4e5eba25, 0xcd017810, 0xe8eded2c, 0x9f2041e9, 0x2923195a,
+    0x6d6b4c1b, 0x7a58a00a, 0xf2a837c1, 0xc47591df, 0x5d2cc7b6, 0x2fca9f71, 0x69e51d9f, 0x90dc00e0,
+    0x7a0ea86d, 0xc287af34, 0xb9c9d70c, 0x6790c341, 0x89eda4ef, 0x1b079860, 0x3e1b9e24, 0x38fecf30,
+    0xb388f373, 0xade20fa3, 0x0821d0b0, 0xca3ff7b2, 0x15076b82, 0x5a9768ce, 0x7508793c, 0x656b0518,
+    0x8792a9a9, 0x9a9fad8e, 0x8ec4d157, 0x5df3afbf, 0x025fbe4e, 0x1d275ade, 0x3b0a89d5, 0x877a1ef6,
+    0xe7b630d9, 0x02e19f81, 0xae1c6f11, 0x9f979f94, 0x3cb0608f, 0x98592a7a, 0xb0f507fa, 0xac148708,
+    0x46c37839, 0xf1612568, 0xfe2b5d99, 0xac0bafed, 0x4de0d4e0, 0x7c728f36, 0xf72d7efa, 0xa26a3b14,
+    0x00000000,
+    0xc25e68db, 0x0006a4d3, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000562949953421312 */
+  { 0x00000000,
+    0xde2baa2e, 0xfc843cde, 0xee971d9c, 0x434dceaa, 0x4a6364f0, 0x37fa825f, 0x60c76de9, 0x0fb123f4,
+    0xa8080ba4, 0x07407aa9, 0x31a1a5a0, 0x446ac135, 0x6dcdf350, 0x4904a6bb, 0x3bd42de9, 0xfda5d4d2,
+    0xeb274db6, 0x33c46adb, 0x0ffaea40, 0xce50dbcb, 0xf9758616, 0x947cee42, 0xe5ae5d9e, 0x39aca00e,
+    0x61c0bede, 0xd20e8afd, 0xaf7794fa, 0xbe6b1bad, 0x748fd356, 0x445c162c, 0x2f334821, 0xdbe8d9a6,
+    0x15392aed, 0x6d97ccc9, 0x723398af, 0x16a86cd8, 0x47c2e21a, 0x470bc8df, 0xc1e32f68, 0x20320ec5,
+    0x3afe8204, 0xee723b0c, 0xfb8c09fe, 0x0cfb21ad, 0x73a6b032, 0x4c8de640, 0x962d9460, 0xcaf38d35,
+    0xb804f5cb, 0x6e9be995, 0xf6ed4432, 0x99449b7f, 0x3a270380, 0x95199c86, 0x2b2fdb9d, 0xe3eeb575,
+    0xe96f3160, 0x8ec3ae9a, 0x28d99c01, 0x5a86fbe0, 0x5baf2569, 0x51a4f50a, 0xb3a8f3bd, 0x7a193909,
+    0x97b9326c, 0xd16fcf2d, 0x76de0552, 0x5cf21439, 0xfd59d425, 0x08ef2efc, 0xcfefb3b6, 0x780e5af8,
+    0xb9f63e18, 0xa5f8662d, 0x668896fd, 0x79b6fb5f, 0x6f3b0802, 0x397f5820, 0x4895b533, 0xc9001eae,
+    0x8cf52409, 0x8b5ed740, 0x3fe63251, 0x2850c056, 0xd5ff0cea, 0x5d04cc96, 0xae940e8b, 0x85fdb61a,
+    0xc34f9485, 0x62ac6eaf, 0x320b11c4, 0xa73f11c6, 0x1a3a126f, 0xd3c8574a, 0x911fe03e, 0x2d21e4ec,
+    0xd1cc358b, 0x6858f2d2, 0xd445ecff, 0x72b3e94d, 0x894ef6bb, 0xc07e4442, 0xa22c7f53, 0x06db7757,
+    0x91a8a4be, 0x705ca8b6, 0x6514ebd7, 0xd7a94626, 0xb11144e8, 0x1a4e94e1, 0x16509a52, 0xef276287,
+    0xf2a72c2f, 0x1359e9e3, 0x28532233, 0x1e561675, 0x3207c1b0, 0x814404fc, 0xa80bdd79, 0xce382830,
+    0xe8418afc, 0xec74e0ca, 0x6ad5109b, 0xd110da8f, 0x0f319425, 0xe19f02e7, 0x54e23901, 0x1f730e11,
+    0x0774355e, 0x595629ef, 0x4b010910, 0x014ed874, 0x8c1c2561, 0x12b9c0e6, 0x0f9fad53, 0xa0b09e44,
+    0x0a9f4a99, 0x17d95a5e, 0x244bef83, 0xbf70ecfe, 0xf9d58ce1, 0xb23540a8, 0xd23d6d89, 0x47f4acee,
+    0x7b3b08fe, 0x00053a5f, 0x9678f5f4, 0x1d4b0c59, 0xd9e1cccc, 0x84bb1264, 0x80b35d0b, 0x7453dcdb,
+    0xaba7dad9, 0x60c75252, 0x4ebbbedf, 0xcf1c4f2f, 0x5d8fd726, 0xdea54177, 0x90d33743, 0x7f621da1,
+    0x0723c385, 0x13c76165, 0x3f2d7fb8, 0x691fb0fd, 0xfdd38eec, 0xcbfe317c, 0x70b5580f, 0x28b2d1ac,
+    0x2c04b57c, 0x0d6678ed, 0x22a144c5, 0xb3a35716, 0xdacc544c, 0x5289178f, 0xe9f2cc55, 0x8408bf7a,
+    0x2eb76a7a, 0x15067790, 0x62614927, 0x52a7e69a, 0x42de92cb, 0xe67f0915, 0xb8f9c1e2, 0xc21f406c,
+    0x15d45d8c, 0xbe217cb5, 0xd61b1543, 0x218b3fe9, 0xb67f65b4, 0x98e00fdf, 0x3100704c, 0x2c190e9b,
+    0x8d592066, 0xda3226ac, 0xcd4acec8, 0x6c4b1bff, 0x5a634a1f, 0xc4d913e9, 0x5e410627, 0x27298a00,
+    0x325586da, 0x6fa6dd1b, 0x48ce949a, 0x20906078, 0x89da690f, 0x82f718e2, 0x2df47ec2, 0x003d9566,
+    0xb352c5d0, 0x7d51bbb4, 0x59ed613e, 0xaffd78e9, 0xbff7df76, 0x161f17a8, 0x8a0703b5, 0x581dd125,
+    0x062de567, 0xb73c7e7b, 0xe2480306, 0x6167e022, 0x9cc3d202, 0xfcca3a78, 0x19f4c13d, 0x6180cb38,
+    0x275a7274, 0x56c305f5, 0x1831e3f5, 0x9a541885, 0x5fc73d9a, 0x8fa762ac, 0xa00a50c4, 0x79f2d305,
+    0xf58fa091, 0x9ace9b8d, 0x8ba40799, 0x520ab3eb, 0x2bcc2bfb, 0xff20c449, 0xdb680cb0, 0xc3a9ff19,
+    0x37828ec4, 0xc43713af, 0xf48d0533, 0xc2eb8a98, 0x91373601, 0x7bd4b61d, 0xa9191ffd, 0x66194b1e,
+    0x8fca524c, 0xa7cf5ba7, 0x8d60249f, 0x9f7747fb, 0xb8475dd9, 0x592d93ed, 0x759f0fd0, 0xc08a379c,
+    0x050c876f, 0xf8e86b92, 0xbe2afaf4, 0xdb6cbd09, 0x710a0d3e, 0x3f48dd93, 0x85ac389a, 0x4baaac2d,
+    0x32ce05b8, 0x7372e976, 0x821a2b8d, 0x4b487bce, 0xd918dd3e, 0xe4453dae, 0xfd80245d, 0x1f88b4ca,
+    0x60e95aaa, 0x58fca556, 0x06c246ae, 0x33245b50, 0x00bb1f19, 0xdf718a02, 0xf866c844, 0x60bc20a7,
+    0xf455d16a, 0x31baf406, 0x2d2ddc32, 0x28752cdb, 0x9243b76d, 0x2dcaad8b, 0xd25e7c52, 0x2af4dcec,
+    0xb8736b2e, 0x2ded52ef, 0x01d9bee6, 0x7aa0f10f, 0x00b6b1c5, 0xf8168717, 0xecebda33, 0x67185b24,
+    0x02eed9fe, 0xca79a8e5, 0xa6effb9d, 0xe63d9314, 0x5166d4ed, 0x5fa5f710, 0x73dc7126, 0xad5c2f4d,
+    0x1f8914b9, 0x375f490a, 0x189e7cfe, 0x4a2cde51, 0x2eb3de9b, 0x9cd45d82, 0xcf7f8c77, 0xf1f2ea25,
+    0xad64bad9, 0xce1807e1, 0xb91de7da, 0x7e18b85a, 0xf22bef6b, 0x2c378942, 0x9224af6a, 0xa07ce8c8,
+    0xc6f75940, 0x2612f4de, 0x62a59abf, 0xa04454d1, 0xaa3d83ce, 0x07448c14, 0x859193cb, 0x1e91dbb2,
+    0x916117ee, 0x2f0bd781, 0x293c3e48, 0x4dac8536, 0xa23c0574, 0x767473a0, 0x94291dee, 0xab493a58,
+    0xf3cb1385, 0x7d86f7e7, 0x7c3864a3, 0x9c64f3bc, 0x6e226f71, 0x90ac1700, 0x8767921e, 0xfed6992a,
+    0x9f017d3a, 0xc22065c1, 0x07699c5d, 0x8550c78e, 0x01832f2c, 0x45ba01a9, 0xf9924094, 0x8baf4f51,
+    0x79b34ca3, 0xa1b30dc5, 0x5bd1b8cb, 0x111fff32, 0xe65b9e88, 0x2eeb696a, 0x9e5de750, 0x14f2b361,
+    0x9d43df50, 0x9dba58e5, 0x8e9dd5c9, 0xddeaf27b, 0x9cd1159f, 0xfa7a3095, 0xa702f23b, 0x726d902f,
+    0x72f28d31, 0xa2473d5f, 0xad9bf988, 0x0ea76974, 0xc85059b7, 0x42bc6551, 0x9f5f5909, 0x15acc8b2,
+    0xdf2844e0, 0x2f7a91b6, 0x5f361b59, 0xd4fd8efe, 0x4fc2a04d, 0xf1a815d1, 0xf1aefc81, 0x9ee5321a,
+    0x0b0716f6, 0x5bcc17e3, 0x6a9662c1, 0x5b94b67a, 0x0d957a4b, 0x1503b892, 0x5b90ff1e, 0x33d96cd9,
+    0x79ce2c0a, 0x81e05301, 0x569ba1b9, 0x4b30a2b8, 0xfb5427aa, 0x32887a0e, 0x4f37f6c9, 0x840ca10f,
+    0x4bef821c, 0xf0263b32, 0xf4945f8c, 0x4fcdceba, 0xd022ce14, 0xf1a0d587, 0xf3a8d3c9, 0xcbf91bcd,
+    0x03a02ead, 0x3f53a94d, 0xbd4775e2, 0xb76e861c, 0xc1d0984f, 0x0ba0a214, 0x7167e26a, 0x85a53624,
+    0xa9bbd91b, 0x68f268ab, 0x927d2e66, 0x14d81869, 0x1bb883f6, 0xc3196cf6, 0xad91df8a, 0x0f2fc0fb,
+    0x2c53d39b, 0xc2c2ce88, 0xde2eb67d, 0xc8465cc2, 0x0dc27648, 0xfb397f81, 0x5ff1445b, 0x86701ba4,
+    0x5a064237, 0xfbc353f7, 0x4a350fca, 0xdecaa1cc, 0x26953ce9, 0x24fda58e, 0xf573dedf, 0x4e585ffd,
+    0x959f1342, 0x36fc08c2, 0x99d5a95b, 0x0edc260c, 0xc93768de, 0x21a7c297, 0x05f2e36d, 0xb8b2f8b6,
+    0xc972e77f, 0x6633de36, 0x54f12200, 0x1e6a3d3d, 0x2e56ead3, 0x39905e85, 0xe6482fc7, 0x7818813e,
+    0x5fd643f9, 0xc4318af1, 0x4208b45b, 0xd827bd51, 0x0164e1ef, 0xbfb769f4, 0x67ceceed, 0xacc57131,
+    0xbb49ae93, 0x87eaaa21, 0x63d84bbe, 0xa64419ae, 0xbd81d554, 0xc846c8fe, 0x03ddb8dd, 0x9204aee7,
+    0x9d481fba, 0x76fdd369, 0xee0cf0e0, 0x3dcca3a8, 0xb2c76509, 0xd1198e33, 0x5f9501f1, 0xb077802b,
+    0xb41f280f, 0xf69d2541, 0x51ec212f, 0x70925f2e, 0x279b4c82, 0xcab612e8, 0x77cd7ba5, 0xb3ef2ab4,
+    0x440c791b, 0xf59aace9, 0xf57883a9, 0x6c3ab3b3, 0x9255bbef, 0xf0167689, 0x679496af, 0xb81d4f4c,
+    0xc6417f4f, 0x078e8c19, 0xff83e713, 0x4ebdd689, 0x3b6caaee, 0x1e151930, 0xcbc9d7f0, 0x47dc528d,
+    0x844d7511, 0x82b5051e, 0x5826aa83, 0x241dbea3, 0x7142aac4, 0x68c8b847, 0x18c0b01f, 0xba90c138,
+    0xb847c23d, 0xc46ad4be, 0x55a33c7d, 0x462b9a0d, 0x3621d97a, 0x13cff743, 0xfa26314e, 0x4705fc85,
+    0xd7e4a29d, 0x2cef62c4, 0x88c7a05e, 0x2e841f9f, 0x528d700f, 0x7fa2c3c5, 0xce4757b4, 0xd71bdb00,
+    0xca6fbf76, 0x47702a7f, 0x31160953, 0xfefe1723, 0xeaf659b7, 0xae26164d, 0xbdb53186, 0x0c7265bb,
+    0x9a0f3bf0, 0xf0f5890d, 0x6f7bb2f4, 0xd3bc0950, 0xaa334ba4, 0x425415f5, 0x72666187, 0x5baac36f,
+    0x9cc9f342, 0x62c2c6f7, 0xeda17150, 0x3f7f8b41, 0x73e21cd6, 0x48f6e612, 0xda1db2ca, 0xb3d9b7cc,
+    0xbfc8536a, 0x5a91aa4c, 0x2b17e84a, 0x22565a23, 0xdb8ba031, 0x1932423a, 0xa59bb2a0, 0x447fd37a,
+    0x3b2d4879, 0x61c4db7e, 0xa16f33cb, 0xad71a482, 0xfd1c6b35, 0x620ae3f7, 0x16e915f4, 0x0594e3fb,
+    0x527e0418, 0xf889c23b, 0x4c54be8b, 0xe8b26cad, 0xf1b81459, 0xff3fb50d, 0xe2f3dfba, 0x0c9cc415,
+    0xf94b50ab, 0xf51dd526, 0x6cac67d3, 0x8d0d94a9, 0xcd1ccefa, 0xe2fa1b6c, 0x1aeab75d, 0x6b278ef5,
+    0xce170d08, 0x4f253efe, 0x0f652610, 0x0c9e5173, 0x99d3d8fe, 0xc47d25d6, 0xe36d0ef2, 0x5a334eb3,
+    0x567e7eb2, 0x94d96965, 0x1cbf9b62, 0xd81e3e71, 0x776253d1, 0x1edceade, 0xba3c795d, 0xd6093fb4,
+    0x52595b57, 0xdf5ed61d, 0x7ea67dcf, 0x7312cf2d, 0x6e3749b2, 0x5dc12b5e, 0x63975f98, 0x99abcbf5,
+    0x0b597da6, 0xb72e5e03, 0x11ad92cb, 0x8f2a08ee, 0xa33eb2a6, 0x8843dad4, 0xad2bdd43, 0x28a71afd,
+    0x99fd7c06, 0xb7c10ab6, 0xf46bde05, 0xdab7f418, 0xfb23695d, 0xcab974e1, 0x344d4d1d, 0x860fcb0c,
+    0xd505bc06, 0xc20acc80, 0xf603e5a4, 0x4b895369, 0xe5c38411, 0xfd6c3a06, 0xd9fbce91, 0xa3819856,
+    0x538b345d, 0x8e347e85, 0x1e7f839d, 0x1bf9d480, 0x92736681, 0x4daf08a9, 0x59078119, 0xeb7be9dc,
+    0xbe501c91, 0x592494b5, 0x94fbc057, 0x99d875cc, 0xc19aa8ea, 0x8a67be01, 0xc6b2305b, 0xfe4bb403,
+    0xbfb30aea, 0x3f8658b1, 0x604b7f3e, 0xfb9831dc, 0x1a5ec2ba, 0x16635887, 0xc96278f4, 0xc21c555d,
+    0x8978be0a, 0x8e0a047c, 0x37815215, 0x3d0b574b, 0xfc65f261, 0xd1f614f8, 0xbe89d9dd, 0x40b7a053,
+    0x9f6efc4e, 0x632bfa7f, 0x064d05f1, 0xe6f49f8b, 0xd64f4509, 0x6cfcd576, 0x56675415, 0x4994e37e,
+    0x81a723ef, 0x45de25a1, 0x8659ca5e, 0x13f32ef7, 0x32574908, 0xfae2bc70, 0xbc247e15, 0x945014ac,
+    0x2f212df0, 0x85b567a2, 0x51ae7dc3, 0x3913ad91, 0xceeec8c1, 0xd73850fd, 0x14599841, 0x39671a3e,
+    0xa911b1da, 0x04ac5416, 0x462460ba, 0x2f99a2e4, 0xe0fe42c8, 0x59999054, 0x7bb29d73, 0x6069ae39,
+    0xfcb31e84, 0x1bd8c8de, 0xfb5c161d, 0x12f4fbeb, 0x62cce30c, 0xa6741cf9, 0x221f20dc, 0xe0168a64,
+    0xfe06b5ad, 0x8eba00dc, 0x109f4a41, 0x8e8f41ba, 0x4f72015e, 0xecd40369, 0xe7a78111, 0x5b1d7b3d,
+    0x800c82c0, 0xc751e9aa, 0x5c37c42a, 0x26f1595e, 0xf1728944, 0xb82bfb53, 0x39da9582, 0x6bc0fff4,
+    0x184c7ad7, 0xea26a221, 0x9209239e, 0x393a21f5, 0x63279851, 0x1abb2d6e, 0xa36b5822, 0x9131475f,
+    0x31ab544f, 0xd5120f1c, 0x14d11049, 0xb949ce30, 0xe1a9866c, 0x3831f301, 0x3930ca8e, 0xc4fd9220,
+    0x475a0b4d, 0xa094e043, 0x56764cf0, 0x64a1d7dd, 0x1b8a034b, 0xcf6f8323, 0x874510e8, 0xabe30370,
+    0xdb8cb809, 0x690339e8, 0x7f987fd5, 0x09b0d9ec, 0x973d3e1e, 0x8ac9e2c9, 0x7bb368ea, 0x21a24a18,
+    0xd1cfbad1, 0xdd63343d, 0x57f3bd6b, 0x98ebaacf, 0x459b7dab, 0x19d85409, 0x8673b3df, 0x32d889c1,
+    0x506dfe39, 0x778768fe, 0x74dc4a66, 0x4216cea7, 0x89c39442, 0x823562e7, 0x181dd594, 0x835a2a41,
+    0xa245408a, 0xfba97469, 0x636ba541, 0x05f74094, 0xfe8667bb, 0xd5585440, 0xb4624667, 0xf9c65894,
+    0xc307e274, 0x38592514, 0x32777556, 0x35de883c, 0x56df7b2b, 0x62cef257, 0x21868624, 0xcb5078c6,
+    0xcbb35363, 0xdf2a6231, 0x6fa64248, 0x98ca9dce, 0xe3e20951, 0x4c70c366, 0xb2aee43c, 0xd5821aee,
+    0xf4d015d2, 0x4ab79c86, 0x7afd932a, 0xccb8cfc8, 0xf5d8e4d3, 0xbb16f2ab, 0xe6ece617, 0x6c84744f,
+    0x8a46ad4a, 0x654867fb, 0x563e3350, 0x0ee57aff, 0x9a67d938, 0xdd5901d4, 0xb74b7278, 0xbc269203,
+    0xf7b6594f, 0x5903afdf, 0xd2a9f09c, 0xc7285fa5, 0x8b32d09b, 0x66063c9f, 0xc4884615, 0xe322e59b,
+    0x05494503, 0x41310370, 0x400ae703, 0xad493f08, 0x73c15be3, 0xeed234b6, 0xdccbb489, 0x9f24a22a,
+    0x6014fa8f, 0xe2ddb3b9, 0x104bec3a, 0x087df985, 0x8ec2c02e, 0x1d7ad604, 0x585499fe, 0x69e95fea,
+    0x8dee5086, 0xb1f68dd1, 0xf131a431, 0x88e5ef8d, 0x9747e510, 0xb64d6d2e, 0xa9007318, 0x6d1e786e,
+    0x91abfa35, 0xb332a37b, 0xfeb3f532, 0x95440e3b, 0xea41816e, 0x143fdf6d, 0x68f62c38, 0x3cdad924,
+    0xa0fc607c, 0x3b3ca4ba, 0x7e263263, 0x087c89be, 0x043b0d2e, 0x7a451a9a, 0x58e94832, 0xaa6a13b2,
+    0xa4432634, 0x3c0f3423, 0xc903f55b, 0x1d6f04e6, 0x7183da04, 0xb17417ad, 0x051d7fd5, 0x6dd1e45c,
+    0x667e4e2e, 0x478a4221, 0x0e41b51c, 0x2fd31c8d, 0x99c4ae26, 0x33ba8ad5, 0x73a57873, 0xf5ba5bd2,
+    0x3f78a368, 0x72ccb353, 0x76127add, 0x517c1c82, 0xf0d11aa9, 0xf17eb62e, 0x1849d4b5, 0x6b01c13d,
+    0xc6417258, 0xe2095395, 0x174ba814, 0x57957667, 0xf0b12541, 0x6697153a, 0xfa7917cc, 0x1182248c,
+    0x34abf645, 0xe1e5c7a1, 0xb3e88804, 0x702a517f, 0xd495f6dd, 0xbe83b30d, 0xf86397bf, 0xc2e5a0c1,
+    0x211210f0, 0xc5369af0, 0xc7249cbf, 0x806f8453, 0x84ab7d52, 0x35fbfd4f, 0x62e59eca, 0x9f365a8c,
+    0xac4af8ec, 0xac325dbf, 0x07734d3e, 0xe4c598bd, 0x57985a5a, 0x08f5552a, 0x25f0fc1a, 0x0f4abcec,
+    0x66dd12f8, 0x46311533, 0x09535fed, 0xb784dece, 0x52cf69ff, 0xa65b2902, 0xa612f8f6, 0xd7369b4f,
+    0x737ffd32, 0x53f9fb1d, 0x8a4e9909, 0xf5ed1985, 0x5f95f3dc, 0xb3292454, 0x26304a23, 0xb2a47191,
+    0xa3a54c31, 0x459d126a, 0xd3826db1, 0xe8fa0897, 0xd0461364, 0x2576a66d, 0x8dd98a0f, 0x754b0e67,
+    0x6f0fecaa, 0x95a1f9d9, 0x3b4f053e, 0xfbbf3545, 0xd1888992, 0x4ab09622, 0xd231195b, 0x413bd717,
+    0x3fd799f9, 0x688c3e2f, 0x29ab16f9, 0xbbbbfbe6, 0xca8bda69, 0x82814f2a, 0x91441467, 0x1c452c79,
+    0x27955da8, 0xfd8c5c9e, 0xd1dc376b, 0xd9657ab1, 0x1be9ce5e, 0xa6d910e2, 0x63347c48, 0x5f72b321,
+    0xf21720c7, 0xd3b72d55, 0x432e6b1f, 0x70d9f135, 0x5fb99a81, 0x291477f8, 0x9d87669f, 0x492f30f5,
+    0x267af097, 0x9b79ee5a, 0xde25e205, 0x095b72b2, 0x9a615a12, 0xc86f53bd, 0xae0a6e83, 0x947ac6c9,
+    0xe2487fca, 0x8c7ae07b, 0x5c54834a, 0x42546796, 0x2ce7c205, 0x128a7faa, 0xa12a54cb, 0x8bdd612b,
+    0x30361a40, 0x34bff537, 0xd60e6597, 0xf5cdc6d5, 0x3e0101ab, 0xbf5258d8, 0xe1a05be7, 0x7f9173a5,
+    0xb34f9e57, 0x4b56ac7f, 0x08e86481, 0x2e6bb24a, 0x1b5b537f, 0x424d0d88, 0x4fea6e0e, 0xa5494acd,
+    0xf2d97350, 0xcdcfd506, 0x633a0307, 0xe64cc419, 0xc79ff197, 0x80f60c7a, 0x1158d20f, 0x902f2ef9,
+    0x00000000,
+    0xe12f346d, 0x00035269, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000281474976710656 */
+  { 0x00000000,
+    0xdf526b30, 0xd4972646, 0xa2182f56, 0x73fe799d, 0xd866f868, 0x6a50af28, 0x6b380bd0, 0xe4966994,
+    0xbd9f23af, 0x54d7b43a, 0xa27a08ca, 0xd114e1b4, 0xa6ed3614, 0x7030a655, 0x76e441d2, 0x74a16197,
+    0x7e4564a7, 0x627d3c2f, 0x0ffe572f, 0x8be662db, 0xcbbcb433, 0x448336ae, 0xc6878150, 0x43e0d16c,
+    0x690c122a, 0xf3c11ee1, 0x81791e4b, 0x1f54cd5b, 0xe9217893, 0xb000875c, 0xbfd22390, 0xdd44836e,
+    0x8a62f121, 0x775da3fa, 0xfbaa808c, 0xd1913722, 0x6daa0b1c, 0xddc9eee0, 0x1a2bdc07, 0xf8936b1a,
+    0xb3bf5927, 0x54b88c82, 0x22a478f0, 0xb196a141, 0x40f90ac0, 0xb4b7245b, 0x78dee1ff, 0x00b1e72b,
+    0xd12040d3, 0x0b4f2189, 0x4080c5c4, 0x86406fb3, 0xf43d7ee8, 0xdee3ff12, 0x226d67bc, 0xa19fab7e,
+    0x8cedc7fc, 0xfa0279c0, 0x8fcddab2, 0x42fbfeaf, 0x34812501, 0xafb1b19c, 0xbc77792f, 0xfe69c1cd,
+    0x1e85ce2c, 0x8b722bca, 0x3a30e405, 0xf102bdc5, 0xcce5bb1d, 0x91fad34e, 0x25a824d1, 0x55af5330,
+    0x1697533f, 0x617ed743, 0x2bb0d7e1, 0x0aeffc10, 0x7b00640f, 0x90ef8b84, 0x8741ef47, 0xd8f08140,
+    0xaf5b1011, 0x309105e1, 0xf61fa1a8, 0x24d4142c, 0xb52104e5, 0xa33eb4f3, 0x550c3e36, 0x1a8ea453,
+    0x1493d551, 0x5c707ee1, 0xd221b26a, 0xbc62ff45, 0x86bc9562, 0xc7c1c967, 0x29c344dd, 0x781bcb2c,
+    0x356405ac, 0x8202ec10, 0xa11d8c84, 0xc6cfb797, 0x5438a841, 0xab102940, 0x7bd91947, 0xff694271,
+    0x528e823b, 0x48848bfb, 0xb75d6f0d, 0x5a62e018, 0x01c16a8f, 0xc7605ce7, 0x7db6705e, 0x6d5b24fd,
+    0xcfa62c30, 0x9cb9e74c, 0x15b07c37, 0x04ba1e11, 0xd47efcad, 0xd86b9386, 0xdf88c862, 0xf201d9bf,
+    0xe9243775, 0x9403d065, 0xd8df07e3, 0x05560a66, 0xd576691b, 0x93957feb, 0x8f122816, 0x2c18f286,
+    0xe77b09d8, 0x88cf42e0, 0x94517e28, 0xdcd3e708, 0xfb1f3934, 0x9e31de08, 0xfff885f1, 0x1641783d,
+    0x1db40545, 0x8ff42984, 0xaf516c34, 0xe8a6c6d1, 0xa816a2d7, 0x8a5a321c, 0xedda4f95, 0xb59dff37,
+    0xae47e7e8, 0xf4ddd1f4, 0xb19f77be, 0x8374f77d, 0x7067eb46, 0x47a26117, 0x80abb105, 0x63a3d61c,
+    0x824d8fb5, 0xed5e0b0b, 0xd0ef4396, 0xda5f63ff, 0x3d8978ec, 0xfd823644, 0x7a13a55f, 0xe45a5578,
+    0x8b95bcf6, 0xe543b672, 0xb9186d19, 0x9c133cfd, 0x93d49da2, 0x158bbf11, 0x0b7c89df, 0xb945d8e0,
+    0x92b4607d, 0x2d91a1cc, 0x0be9b003, 0x2cc80497, 0xb8186cc3, 0x12a0e59c, 0x3bf0371e, 0x52aa1867,
+    0xca2b4832, 0xa8b6502c, 0x88de7e19, 0x21b8b47c, 0x85bec36c, 0x26e1c6ad, 0xf6461125, 0x43a2ea6c,
+    0xf8164dd5, 0x89b93be0, 0xf1a6a6d5, 0x7fff67e3, 0x9991709a, 0x365778c2, 0x8e3ff5c6, 0xe78b6d25,
+    0x67a34e72, 0x671f8987, 0x628170f4, 0x1aeea053, 0x8e1a1b06, 0x0dde8672, 0x09abfb7c, 0x71bd0da8,
+    0x4d823eed, 0xe44e8b68, 0xb817c7cc, 0xf637aca7, 0xd3809046, 0x4fee2c55, 0x613c773f, 0x25ed5138,
+    0xf55b9fa0, 0x9e69c1b5, 0xcbd48391, 0xee6124c8, 0x627016f5, 0x6900512e, 0x68970f69, 0x3efa6cff,
+    0x6d518c5a, 0x51fc5034, 0x30d30bf3, 0xa6ec075a, 0x37f69d5a, 0xb35b792d, 0xaea8e39a, 0xc9c34961,
+    0x90367b0b, 0xe5a1ce6a, 0x7f8a9b3f, 0xc77e2c0f, 0x66a33810, 0xd6bb205a, 0x803b3a6d, 0x2c9c038c,
+    0x8d51750b, 0x218e8d4f, 0xc7b2228e, 0xd2548898, 0x5005d635, 0x0c2f4fe6, 0xd548f65c, 0x6df80ed5,
+    0xdc6a5acb, 0x1268a93d, 0x43f2b2ba, 0xb5d5c60c, 0x2bc54d46, 0x357c4a7c, 0x2a2eaf08, 0xf4a3a934,
+    0x0b16cba2, 0xdec7b032, 0x8326225a, 0x422b714f, 0x381d9091, 0x2e448f50, 0x263b13ef, 0x89bc58e7,
+    0x9e0bba20, 0x0661a95d, 0x1b7e6fc1, 0x1d281456, 0x8ffe0205, 0xb1328a67, 0x1a47b568, 0xf10085d2,
+    0xbd7569d0, 0x7ac858b7, 0xec549b22, 0x8e36d222, 0xe2a66469, 0xd77d85ac, 0x35a93ed7, 0x045cf3b3,
+    0x09661506, 0xa74ca8b0, 0x8138f85f, 0x8a6b5498, 0x37ffe0dd, 0x857d4941, 0xf8ced00c, 0x1dc434b9,
+    0x4f6a8f8f, 0x8142644c, 0x56a34690, 0x593c463f, 0x1952454b, 0xcc0fca30, 0xbda94688, 0x862e3e65,
+    0x38e3544b, 0x16a8329d, 0x56cecf21, 0xf82cce8a, 0x346d29e5, 0x8eb68f41, 0xbd7953d1, 0xfab75b9f,
+    0xfa9af2b1, 0x7a3a27e7, 0xda6e3bfc, 0x2daf04f9, 0xdfc0f9be, 0x1a1722b8, 0x70e1961a, 0x4127b4c1,
+    0xec19e46e, 0x78bb5264, 0xec9e5561, 0x45a6b635, 0xac78f9de, 0xb96d0df3, 0x098e8ffb, 0x0c0ed4e8,
+    0x3ebd5c73, 0x57d93136, 0x102304a7, 0xc17e59f8, 0x8190c329, 0x1f6af880, 0x8f01b667, 0x4aed3f8d,
+    0x6255ecde, 0xbdb1b38b, 0x67218357, 0xa5aa7d83, 0x5f9a7ef3, 0xf12e1010, 0x443febdf, 0x862d6303,
+    0x7b009d4e, 0x72533bc3, 0xc1db3dbf, 0x35c148c7, 0x62e910ec, 0xfad77935, 0xcf2202e6, 0xeffa9fa1,
+    0x1fff0420, 0xde05e63a, 0x84022f07, 0xa176e61f, 0xe6c6b589, 0x5745cc0a, 0x8f4a3fcf, 0x4ab7d708,
+    0x9294bfbd, 0xbfc7c0d7, 0x9cfb91fa, 0xc64865c0, 0xe7ac46a7, 0xef530a64, 0xcc2168f9, 0xe3d1dc39,
+    0xedd9145c, 0xebd223a3, 0x8541549e, 0x1aeafe6f, 0x8c08fb73, 0x4b8a22a5, 0x8b8470b0, 0x2ad65559,
+    0x56e55ac6, 0xeb3b0deb, 0x151b0d5e, 0x873db357, 0x6b38937c, 0x5d1a6e92, 0x6ffc0879, 0x5419c300,
+    0x68d66a74, 0x22c3868f, 0x5cb76863, 0xfe3f8e6b, 0xb4625b47, 0x9ab45b68, 0x958f3e95, 0xcdd6f43c,
+    0x027f8c40, 0xa653f28d, 0xf80f243d, 0xa9423777, 0x0d9859c6, 0x2e736a3c, 0x1a0a33e9, 0x00b5f66f,
+    0x8b407e0a, 0x75593868, 0x5fdfb435, 0x5bf35c74, 0xfdd612b7, 0x022863ca, 0x562b607e, 0x3f3e5f16,
+    0x2d2871f4, 0x78da70d5, 0xf51f0b8e, 0x99b5bd02, 0x75f56f1b, 0xec5895ce, 0xe55b7456, 0x36af989b,
+    0x29e8f83c, 0x0c2724b7, 0x881cfbbe, 0x768b1ad0, 0xbb0496d7, 0xaf51e28a, 0xa217b4a0, 0x66fea0f2,
+    0x93fe1504, 0xeb5886ed, 0x372893ec, 0x5081bbce, 0x0dddf1a0, 0xb913f0ed, 0xf376526b, 0x8dc6a725,
+    0xc79458e6, 0xb9785b8f, 0xcca607c9, 0x917ccb58, 0xcfce0639, 0xe0ccfb74, 0x65b225b7, 0x3888fc2a,
+    0x271f2016, 0xaf73c94f, 0xd1c26370, 0xc942c4e3, 0xd91c4510, 0x6dc2b4cf, 0xfd155153, 0x5f1017c0,
+    0xaef101a7, 0xa065b41a, 0xeec7d4cd, 0x9c3e5643, 0xf22190bb, 0x11f44b20, 0x57479598, 0x7541c84d,
+    0x7581b718, 0x8333a3a1, 0x88f38d3b, 0xf02c052a, 0xcf09d547, 0x8787dce2, 0x531bcc01, 0x7ebfcb7b,
+    0x0ca2353c, 0x2ad02e61, 0xff4dacd1, 0xdc1e8815, 0xfd21a383, 0xf168959b, 0xa306e2bc, 0x1433f457,
+    0xd8d77e23, 0x86ce4d1a, 0x85f93a25, 0xab0f3fdd, 0x0d73d9e4, 0x681dbc9e, 0xeb9018d7, 0x936d96f5,
+    0x7f31e6ab, 0x523f1bbf, 0xcee3bede, 0xd619a5a8, 0xda149536, 0xb12d5d45, 0x528166de, 0x51e1d8a1,
+    0x8976bee8, 0x66136abd, 0xb02da811, 0x8d9c4571, 0xf577aed4, 0xeb22881f, 0x87b22d37, 0x17f3a845,
+    0x3ce3c36a, 0x1b33d3dd, 0x9b8a7398, 0x6d846f36, 0x4533e7dc, 0x12a859b1, 0x7f8f80c0, 0x7d195f87,
+    0xe623bff5, 0x1143a684, 0x0e1956c7, 0x7632300c, 0x4d10a7e3, 0x73c68ad2, 0xdb158ae7, 0xbfaa5262,
+    0x4c2a93b8, 0x883532ae, 0x4633d2da, 0x2be15070, 0xc1357d3c, 0xeb750f20, 0xabd203d9, 0x85821b32,
+    0xde0f47d4, 0xf2d15a25, 0x4edfa3f8, 0x9e31c97d, 0x6da43519, 0xfb98c80c, 0x3723c516, 0xfd199983,
+    0xbe381b54, 0x75f68ac7, 0xfb5be3f5, 0x54b802b9, 0x85c9ccfc, 0xb84bdf04, 0x982f5699, 0x60385427,
+    0x4ef7b274, 0x0a43434b, 0xd55c2be1, 0x3b933d7b, 0xf65bdde4, 0x273f8549, 0xace7a73d, 0xb0d1da40,
+    0xcaeef766, 0xeec67520, 0xba18c05c, 0xc1ebabc3, 0xb038a1c8, 0xd29e00d0, 0xc825c5c2, 0xcc57acc7,
+    0x36245229, 0xe53c58f0, 0xcbe722dc, 0x1c5e232e, 0xfdac9e85, 0x62a8f58e, 0x34e0c9b6, 0x8cf7adcf,
+    0x98ddca28, 0x0e1a0305, 0x49fe7520, 0x50a2d788, 0x7109c6ff, 0xf2fc3104, 0x13aa8350, 0x5201238c,
+    0xd1785f4a, 0x1066653b, 0x0d9992a0, 0xa75f4515, 0xd0a0cc7b, 0x6f042372, 0x92f327eb, 0x5ef135e0,
+    0x907c3a5b, 0x61efe34a, 0x673509c7, 0x46a89142, 0x5b1a86b0, 0xf527df1a, 0x4978b2c7, 0x4dfe3247,
+    0x2c3ae23e, 0x4934a92e, 0xe16a563c, 0x9ae8b14d, 0xc989cc1c, 0x777dc68b, 0xbb64c6a1, 0xbb3f38c4,
+    0x57c214b1, 0x6ad506f1, 0x04aaa32e, 0x0e58e693, 0xe0d391f1, 0xcc203348, 0xea7e6e6a, 0x52f243b5,
+    0x918988f9, 0x53bf7e11, 0x5b7490dc, 0x8308f347, 0x9ab07e28, 0x7c5f0aa6, 0xcb8eab33, 0x12fdbca8,
+    0xd9cb7de4, 0x886128fc, 0xfbee1e31, 0x9e09f339, 0x651dcfdf, 0x8ee32449, 0xe2e2c4d3, 0xa710fd3c,
+    0xd2ba18b2, 0x44aec3c4, 0x73aafdc7, 0x25e19f24, 0x4b385e65, 0xfa55ba84, 0x1df820bf, 0x926f26aa,
+    0x3841f455, 0xbba0493a, 0xe920e96b, 0x79044326, 0xadcae9e9, 0x994d999f, 0x5413033a, 0x67116d7d,
+    0xfa268cd3, 0x88e5aece, 0xde7607f2, 0x2cd2fb34, 0xcc735706, 0x78cb277b, 0x188356b1, 0x58a605ef,
+    0xcfea0609, 0x148dde71, 0xcee22724, 0x7aa946b4, 0x52e88f7e, 0xfe79a6f2, 0x8d09c546, 0x4c841861,
+    0x1366cf16, 0x7005d157, 0x8a10b44e, 0x20a0cc5c, 0x37e729ad, 0x8e5e6751, 0x39223928, 0x7a496fff,
+    0x250b647d, 0x90163ce0, 0x1c2299a6, 0xcdb325bc, 0x12841499, 0x4dd4ea8c, 0x67ab3d29, 0xc6f85983,
+    0x8f21fdb3, 0x2ebefc54, 0x8c20159a, 0x4a6fbc33, 0xa843aece, 0xec5f3329, 0xf5e2886a, 0x0d1e9bfd,
+    0x86992564, 0xd4bea447, 0x0cb39d6c, 0x8dbd95fc, 0x9603274e, 0x56fa60ca, 0x98fb77ca, 0x74a68f15,
+    0xe9a65b35, 0x359522ab, 0x26711832, 0x7c3824ef, 0x1587b354, 0x72258fae, 0x30d5746c, 0x7dc0bf3b,
+    0xaed2fd3f, 0xb30ec27b, 0xe9670460, 0xbe3c4b3e, 0x3fa67a4f, 0xe06a3e38, 0xd1153cef, 0x05401473,
+    0x16885335, 0xbb237f58, 0x588a32f1, 0x057f6be1, 0xbe523059, 0xaa28859a, 0x9218db36, 0x9b4993df,
+    0xabd2e85d, 0xaed0385f, 0x9c5ccab0, 0xf5c4a622, 0x9029f926, 0xccd96565, 0x45992d1e, 0x6a703248,
+    0x75dadfa4, 0x543a1edc, 0xcd20b065, 0x491e5b42, 0x99269004, 0x5bd6887a, 0x7cf675c1, 0x49e554d1,
+    0x64dffd89, 0x618aa22c, 0x96dfc78c, 0x406d7aaf, 0x8e9ddd98, 0x61b6c8ae, 0xea27b0c1, 0x8ee869c0,
+    0x9ad84d1e, 0xfb24c4fe, 0x6f585845, 0x32b784ae, 0xff67646f, 0x64e4f555, 0x59e96307, 0x04f31857,
+    0x0e3d5ad2, 0x295e317b, 0x5fd611e9, 0xfd11ee69, 0x691aca3a, 0x0f9c003f, 0x1fcc6041, 0x65042c70,
+    0x5ae88383, 0x3435ef37, 0x7f92013f, 0x9aa27284, 0x99adce57, 0xfe767eb0, 0xfff2c94c, 0x79b7dc16,
+    0x42adacb7, 0x9a702ecd, 0x3917fe46, 0x64541fe8, 0xf912c102, 0x5c9e26c1, 0x16015d0c, 0xc86ae27e,
+    0x6207d5a6, 0x3d95f1a1, 0x5bc50ad4, 0x05b830b9, 0xb1a3fed4, 0xce45938d, 0xc62bb6bc, 0xe7a81bdd,
+    0x903fc9ea, 0x56818c3c, 0x1c053c58, 0x421f645a, 0x4d065901, 0x19c4949e, 0x7b767ad2, 0x1b0a7255,
+    0x7c222f22, 0x9b9b253a, 0x4b58027f, 0x6433a3e4, 0x4adc9e15, 0x0bd41191, 0x74128ea9, 0x3363604f,
+    0x6771f8cb, 0xfd683323, 0x37bd2685, 0x525ea0ab, 0xc97950a7, 0xd1bb349e, 0x7fe5c992, 0x107f1ad0,
+    0x0cdd3101, 0x5ad45b6d, 0x75139b0a, 0x4f165c00, 0x0f40e0c9, 0x6c5c84bc, 0x891a95c1, 0x502b03f7,
+    0xaded50fc, 0x7904527c, 0xe7a09859, 0x79317bf5, 0xf087af94, 0xdf4fd28c, 0x8485c8aa, 0x5a30bdf7,
+    0x4431b972, 0xc9fd2483, 0x6e1b8f74, 0xaf1420aa, 0xb3424803, 0xa7ffcff8, 0xf4973913, 0x416c62fd,
+    0x40368243, 0x5ca0ec4e, 0x25c56661, 0x72672f4a, 0xaaf440d7, 0x460c6925, 0x48439b63, 0x697331f1,
+    0xeea0013a, 0x777563fc, 0x15fb9be9, 0x36fd5b38, 0x84f253fa, 0x78952073, 0x6fd04fbe, 0x11f5253e,
+    0xdfdbc026, 0x8130b397, 0x6749c3f5, 0xbeffeab8, 0x3da9b299, 0x3ff12296, 0x8a4ca0b7, 0xe957deb9,
+    0x39e32fbe, 0xbe4118cb, 0x80f689ff, 0xffd10a03, 0x75e4ed42, 0x98ab52b2, 0xd64094ec, 0xa44ff417,
+    0x6ebf6c4e, 0x443369ef, 0xac4c14a2, 0xbbf1194f, 0x1b2b9b7d, 0xc2609da6, 0x10185d70, 0x50161c1c,
+    0xc356f70e, 0x89b82081, 0x57a0d7b5, 0x24016a73, 0x7da4ee37, 0x320be888, 0x973c91f3, 0x51f3be71,
+    0x96dcaeaf, 0xcb0dd732, 0x691eaacc, 0x651ec4aa, 0x75fdba8c, 0x9594acd9, 0x4e72b360, 0x5a5282a8,
+    0x62d4d136, 0x78925294, 0xbe623fe1, 0x227acc23, 0x4b798d16, 0x491d2403, 0xec83eb48, 0x77bd1759,
+    0xf81d5291, 0xa9614b56, 0x0e7fda37, 0x0b17a3d5, 0x5ff47eef, 0x3f78194b, 0xf57830c5, 0xd6df9bc5,
+    0xf2918a5b, 0xe47c1245, 0x3b35c9a2, 0x4d7991a3, 0xa9795d16, 0x1c4ad47d, 0x4c6e01b4, 0x931e55de,
+    0x9b63f525, 0x2b99d540, 0x7c961673, 0x0fdf5630, 0x0f73508c, 0x8e0f1211, 0xfe4daf9f, 0xb9bd58b5,
+    0x7c6eb014, 0xe269d9fa, 0xaef97535, 0x1dc96c92, 0x7a4dd494, 0x584ed29c, 0x4474cc7f, 0xcf9bb72b,
+    0x6500d3d9, 0xcf5562a8, 0x5fcb6b60, 0xdc332d20, 0x4a3aee5c, 0x16d62d74, 0x7a98568e, 0x0460d4bf,
+    0x101a42a5, 0x02ddd71e, 0x7fbdf46e, 0xb1a23835, 0xe42887c6, 0xc5252f4b, 0xae2f3532, 0xfae405a9,
+    0x3716ad30, 0xe6414eb4, 0xf8ec02df, 0xf25be622, 0x0439d2bc, 0x98abdf1e, 0xf3e3563c, 0x5828c3f6,
+    0x241f07a0, 0x8624a839, 0xddc8ed9d, 0x7e989082, 0x4a5e51d1, 0xcee63a69, 0x2f88e312, 0x2189060b,
+    0xb92f734d, 0x07b16f08, 0xe9448b49, 0x333ed394, 0xdb5e685c, 0x901fd88a, 0x7b60f198, 0x9b96ba29,
+    0xad199b49, 0xfe6836cd, 0xbaf0347b, 0xd026690b, 0xb41c231a, 0x63c1f551, 0x6d93ad4b, 0xa9a1202e,
+    0xc22246b5, 0xd1c90602, 0x36929b6f, 0x526d2387, 0x3d367017, 0xccb245b8, 0x9c274c69, 0x04c7ff6b,
+    0xb9140436, 0x7d7b26c4, 0x0f00246c, 0x8be7013e, 0xcccc7063, 0xae3f8324, 0x9181002a, 0x03b7dad4,
+    0xbfc3f506, 0xc22fd034, 0x48bd4fa6, 0xdf186df2, 0xfbe3fb55, 0xbacff0c6, 0xc095d158, 0x51e8809b,
+    0x5cb933b0, 0x4d95229a, 0xf81b20ba, 0xb6e18019, 0x63b37379, 0xdc28b057, 0xde2be579, 0xf625c9d0,
+    0x5bc865ba, 0x83f0aaa4, 0xbee16b7d, 0xac6d75c3, 0x7332cb34, 0xf562aa01, 0x4e96d090, 0xcff49c41,
+    0x822ea856, 0x0031cd94, 0x05328f97, 0x78fea7ce, 0x463f670e, 0xde434142, 0xbebef4cf, 0x09fc2190,
+    0x7be76d22, 0x5a9f74d5, 0xf31b4664, 0xd5ac78d1, 0x218a100c, 0xfbe4292a, 0x984d9933, 0xfa3251de,
+    0x4021697e, 0xa1cd0d6f, 0x37b9b815, 0xc0b83670, 0x456b6b59, 0x73aa6ddd, 0xf33b1326, 0x87d9f2a9,
+    0x00000000,
+    0xf0979a36, 0x0001a934, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000140737488355328 */
+  { 0x00000000,
+    0x067a5cf3, 0x9fac47e9, 0x86321123, 0x220fbe8b, 0x0fdfae15, 0x160c032b, 0x2d3103f4, 0x02078e01,
+    0x785f7671, 0x402cdd14, 0x0239deb9, 0xcbf0a249, 0xa344ad02, 0x570c14a7, 0x1b8af3c4, 0x87556287,
+    0xc3fc4f77, 0x3a83ab73, 0x5d9042a0, 0xf7d40635, 0x00875c62, 0x313c3a15, 0x677996d8, 0xc44ea127,
+    0x95c93747, 0x4587f013, 0x3afedd61, 0xaccd9471, 0xb030ca3c, 0x3d6b66b7, 0xdecc8703, 0x8de20a19,
+    0xfc94c27d, 0xde084884, 0xdb85efd0, 0x9aa3bc81, 0xf1c32a28, 0x7ec845f3, 0x6d5d1a4f, 0xa8324149,
+    0xc0b920e5, 0x39ee53bc, 0xef6375ac, 0x9bed181b, 0xdbfec904, 0xc88cb47e, 0x3945965e, 0x05782cbb,
+    0x8fc82930, 0x000ed8dd, 0xb0ea1a8b, 0xda8b26f8, 0x8e9821f4, 0xe151effe, 0x44e29ede, 0x2fc6beda,
+    0x56282495, 0xeac13f92, 0x1314649c, 0x9114abb2, 0xab6c6b32, 0x5d5a0eb3, 0x064c2420, 0x5bf3a0b9,
+    0xab833792, 0xfa7595e2, 0x3b811428, 0x6b15d07b, 0xcf2255d9, 0x42a7c91b, 0xe63c75a7, 0xb55ccb9e,
+    0xfde75faf, 0xeaef90d7, 0x208ef697, 0x45314ece, 0x0307e3a9, 0xabb49c93, 0x146666bb, 0x2d0b3dde,
+    0x26998014, 0x4c5c4db4, 0xddfdd71b, 0x7d624d67, 0xf8750be4, 0x83024d51, 0xedfc3351, 0x7e5bc227,
+    0x0318630b, 0x1c830d31, 0x172718ad, 0x63a54b99, 0xe56aa6a3, 0x64030cc6, 0xa48ee9aa, 0x4774124c,
+    0x8e459bb7, 0x97c16e62, 0x9b7da9b1, 0x678086f3, 0x60eb96c5, 0x20bf6e04, 0x616bb7c6, 0x803cacc7,
+    0xcfbf3a51, 0xa77e42af, 0x919ed449, 0x3b8990b1, 0x43dcf445, 0xc225be12, 0xabf83dfa, 0xa5950556,
+    0x2db8b406, 0x77228fc9, 0x92678a53, 0xcc42ed5c, 0x4d6bb1e2, 0xf01756da, 0x7a5996cf, 0xb13fdb49,
+    0xaa433eeb, 0xf01871fd, 0xc8e90aa0, 0x6b414c49, 0x948e71a4, 0x487c3b76, 0x33cfdb17, 0x18b5bfad,
+    0x6827dfdd, 0x29f3f6e8, 0x2e79ae7d, 0xf040d43a, 0xc14aee30, 0x2f723177, 0xfa1eb184, 0xb13d2cdf,
+    0x421b7019, 0x52d61712, 0xb54ad78c, 0xa308d97c, 0x27a684fa, 0x58680616, 0xfedb0127, 0xd906f0c7,
+    0x65db3352, 0x83515a43, 0x989d98a9, 0xd91d716d, 0x3660aa18, 0x96cb8c2e, 0x7f40d8e3, 0x0eebe9ab,
+    0xcc8eb95f, 0x322e5142, 0x48af3dfa, 0x3e4ada76, 0x744b9fbf, 0x6878cd60, 0x7ed6c998, 0x36b099ce,
+    0x22cf910c, 0x8a99d37d, 0xf8fcfe4b, 0xcd9413f9, 0x3ad862f9, 0xc1430d12, 0xce421b78, 0x69496f1e,
+    0xcb7ea4d2, 0x89653a78, 0x4ef02eaf, 0x1d38b081, 0x093dfd3e, 0x493523c8, 0xd366e7f0, 0xf1154d1b,
+    0xcc0e8ff3, 0xe2a7c58e, 0x56b7af0a, 0x69608279, 0xc082487a, 0x33199b72, 0x4f398fc2, 0x3c6cb427,
+    0xed309418, 0x2f946d0b, 0xdead3c35, 0x7912b2b4, 0xf7fdbb35, 0x68652756, 0xd13f14ab, 0x556288af,
+    0x9178d57e, 0x1f86a77c, 0x96c141ba, 0x0a813af9, 0x1eaecc9a, 0x3fc909b6, 0x42518766, 0x6a437091,
+    0x1079b1f3, 0x427b8ced, 0x0b97a896, 0xf81da745, 0xbcca766b, 0xf292a2f3, 0xca0721f2, 0x6b46728d,
+    0x0b791c3d, 0xb1aeac7b, 0x3d456e1c, 0x44295d53, 0x51c6f224, 0x6d96a6c2, 0x4fe735e3, 0x6eb262d9,
+    0x0bbc35c9, 0x8b88cc2d, 0x7e30ad7c, 0x35e80e0f, 0x894944f2, 0x0a7faf5c, 0x9f684d18, 0x335ad2e3,
+    0x3f7b73d5, 0x8e42b5e1, 0x81e09c52, 0x051bf899, 0x7d15194c, 0x45310fe1, 0x1f565bc1, 0xb73ed961,
+    0x17b00b5b, 0x1fb72ff4, 0xbc0ea3e7, 0x3539af19, 0xbf64887b, 0xb6d4281f, 0xd5794e46, 0xf6403745,
+    0x6fac7279, 0xb98e90fc, 0x4609dbd9, 0x82f9a411, 0x8535add0, 0xba764b93, 0x6bd3fbb1, 0xe6eb5cf0,
+    0x75e5bb94, 0xb84e20bb, 0xed3da703, 0x6fa0a8ad, 0xf2d8e68f, 0xfd76b134, 0xe1ce7184, 0x33b9102e,
+    0xdc1b3cc8, 0x274034e0, 0x12ed9282, 0xca47448d, 0xd7ba5d7b, 0x416460b8, 0x440eae9d, 0xc6c78e12,
+    0x0507aab1, 0x150e3a62, 0x67ebcb17, 0xb0cebdd5, 0x1a20a5e6, 0x8ccd4348, 0xe376c127, 0x581d7e9f,
+    0xe359a42d, 0x4ffc79d7, 0xb9e24bc7, 0x3abd0b02, 0x9321e1ad, 0x229dd7af, 0x0b42d4d4, 0xc983aaec,
+    0x75e4a60e, 0xfce58ec6, 0xc91595a9, 0x482699c5, 0xf577dd42, 0xfb1c3bec, 0x795301e5, 0x85fb45d5,
+    0x49c0cf4d, 0x879dd4c4, 0x04381f08, 0x73b861d0, 0x339e990b, 0x07f5e57a, 0xc3a0e957, 0xb0693e70,
+    0x64e9b5fe, 0x05ed2376, 0x3283e4a1, 0x8559b6a0, 0x47f8b7c9, 0xee629db8, 0x139a837a, 0xfb141db0,
+    0x2abd62d0, 0xf222ded3, 0x6911c2a0, 0xfefb5dd3, 0xbd5b0c3d, 0xa7959b9c, 0x9b494341, 0x4772260f,
+    0x1d7b6197, 0x63cae233, 0x51b4341f, 0x80c60009, 0xab722b3d, 0xb7a68455, 0x8bb0c1b4, 0x5c45c49b,
+    0x6db17419, 0xec0a7105, 0xb8ba9492, 0xebff18f6, 0x6f9631ad, 0xcf789ec8, 0xe3a2e26b, 0x67f8bbd3,
+    0xc1304c56, 0x7423f8b3, 0x46360f1e, 0x4aa632df, 0x4281fe17, 0xdffcc001, 0x50299cb5, 0x2a6c16db,
+    0x384d0c21, 0x8014fb45, 0x2341bb03, 0xc5891129, 0xe476a603, 0xbd25539c, 0xaea65d21, 0xb8236085,
+    0xaa85bba0, 0xd41674ee, 0x1e5d0b79, 0xeadeffa1, 0x73464f05, 0xb2d5186d, 0x723aa39b, 0xad4b0960,
+    0x066d55e5, 0x9e6a41fa, 0x3fa3f299, 0x8eec9af0, 0x1c33425a, 0xe2880125, 0x71f388b9, 0xe962b0dd,
+    0xc74262f4, 0x76a3d804, 0x81f555cc, 0x5b0437ba, 0xe5ae1344, 0xb58e7d9d, 0x20e2c344, 0x92a8b572,
+    0xb85b5e25, 0x15748bd0, 0xad5ee724, 0xb559c0b7, 0xe8f3e18b, 0xcd5121a7, 0x5d0362bd, 0x92966696,
+    0x59458c13, 0xfdb89a10, 0xafc47c92, 0x020bd49a, 0x91bd0b2d, 0x70981c22, 0x04ddcbc9, 0x37558c01,
+    0x9116b586, 0x6367c32d, 0x3ff6b165, 0x122f5f97, 0x575e3711, 0xa71ff929, 0xcceb89d1, 0x42f153aa,
+    0xc5516681, 0x476ff2fa, 0x235cd0d0, 0xd91fd5ef, 0x22e93b9d, 0x9942092d, 0xc15d0fd9, 0x94dc8ccd,
+    0x264ad574, 0xc1ef723e, 0x61b78e60, 0xd406385e, 0xabeda31c, 0x67a1fc67, 0x306cbcc0, 0xb2ab8c1e,
+    0x986742a5, 0x305d47ea, 0xf1cba830, 0xe82834ed, 0x7bf3e7f7, 0xe5a9a67c, 0xe7962c7d, 0xe675d42f,
+    0xd8da0b92, 0x52dd7ba0, 0x0ac5b429, 0x8fff833a, 0xa3fc1c46, 0xfe93dd0c, 0x45334432, 0xcbef5ea1,
+    0xbda21096, 0xaf4e6676, 0xe4198fa5, 0x2404debf, 0x52866c2b, 0xbab7d0e6, 0x0d20ef64, 0xaafa9abd,
+    0x12e1a8ca, 0xa894a098, 0x1f2a47f0, 0x4f30eea9, 0x90662c5b, 0xf1bdeefb, 0x568c4baa, 0xf2fd38aa,
+    0xffee48d1, 0x358fdd8e, 0xeb33bd53, 0x0a6b1915, 0xcc33d01d, 0x4354bccd, 0xb96caacc, 0x99c750a9,
+    0x6097ac61, 0x1db4d0c4, 0xc4962114, 0x9c758f1c, 0xf53f31ec, 0x3fa74240, 0x6f17602b, 0x25db6890,
+    0x208c944f, 0xd7ac9927, 0xc0f15c00, 0x8d0f7102, 0x32d2f7d8, 0x43078cb1, 0xb7397cb7, 0x31ced185,
+    0x4e4dd7f8, 0x170ac352, 0x9061752f, 0x82397880, 0x58267b05, 0x87fec542, 0x818b26fd, 0x4dcfd143,
+    0x57081d60, 0x531647c1, 0xc3655df2, 0x192967ff, 0x5fe9788b, 0x86df794e, 0x068ec1a9, 0x49a5d090,
+    0xcdd4e427, 0x794d9584, 0x389d2322, 0x5c5638f0, 0xca10313c, 0x26720bf4, 0x82816476, 0x9f91e6b9,
+    0xdbeaa60b, 0x19d5f57b, 0xde59a92b, 0xf4685269, 0x51739805, 0x620e7179, 0x7cb01ec2, 0x680459af,
+    0xd52bda3c, 0xd91e1316, 0xef07aee4, 0x16eb7e45, 0x607c1001, 0x19928b05, 0x667fe05b, 0x54f4766b,
+    0x02a9030f, 0x83bb59ec, 0x794acc08, 0x7d3425f7, 0xe9669bb7, 0xaffeaf95, 0x25713410, 0xffc34e8c,
+    0x3f304a16, 0xe0434244, 0x78735953, 0x614ac983, 0xd6c6e201, 0xd46b2a90, 0x4a1800a5, 0x579eb449,
+    0xc96b2121, 0xb12d9fc2, 0xb8243081, 0xa7c33962, 0xf1fe9643, 0x80423769, 0x5558911d, 0xc02ef70b,
+    0x6e95db5f, 0xd46db404, 0xbfd01bb0, 0x2331f198, 0xb1fb26a4, 0xfe67c32c, 0xf4aac438, 0x3a0194e6,
+    0xfb5dddf1, 0x02524c72, 0xf4cb667a, 0x91f70d28, 0x85c5fe51, 0x916d3a6a, 0xe9af7fde, 0x94a4a8cc,
+    0xb3a8ba76, 0x51368070, 0x05d08c00, 0x8e97d1cf, 0xc0228c1a, 0x56262cd3, 0x63489d46, 0x9aeec0bc,
+    0x86710c25, 0x37dc08e7, 0x7deb8839, 0x2554dab2, 0x3cf9ddd1, 0xf0857fff, 0xb4bc5f6e, 0x4c1b5cdc,
+    0xd9fe8480, 0x19c9ad68, 0xfe9f36a7, 0xaeab5338, 0x14e7d5a5, 0x5ebc8ad1, 0x40420edf, 0xf97ea4ea,
+    0xb67bfb6a, 0xe6baf752, 0xd1408e08, 0xbd3d984d, 0x47f7c6de, 0x2a13845f, 0x57a7efc2, 0x3bf671fb,
+    0x94a55a8d, 0xa207006d, 0x628750f6, 0x457575cd, 0xb4e09ac9, 0xd1ed76a5, 0xed4e8f4d, 0xa9d54c6d,
+    0xe25b5344, 0x2d04e4af, 0x126d9104, 0x63711cf4, 0xd50c2392, 0xe11d3d27, 0xeb399974, 0xfe44857b,
+    0x649a3c73, 0x5ac66097, 0x43795b43, 0x96ebcc2a, 0x7b4c0f60, 0x469f26d0, 0xcaefc702, 0x698b4f7a,
+    0xa6f493b6, 0xd2db2497, 0x21e1c317, 0x1c36c45f, 0x27a8f0ee, 0x05b7f1d1, 0x835f979f, 0x6e342f07,
+    0xf5a2233c, 0xb1b1201b, 0x1a098ce1, 0x401fc685, 0xe797d923, 0x28f992a3, 0x0c05a17a, 0xb55775e4,
+    0x7b19e531, 0xcaaef513, 0xb7d15754, 0xe129d695, 0x17686a90, 0x45130019, 0x98b8486c, 0xdb679e13,
+    0x854e8c54, 0xb5e19b29, 0x46f9bb5b, 0xe87764c7, 0x99f00c47, 0xb5781302, 0xdb594bc5, 0x015d926b,
+    0x0ffc6413, 0x87a115eb, 0xfa0d2ed5, 0x21407d78, 0x8474c1b2, 0xaa95457f, 0x30429e27, 0x07aa3e9b,
+    0xebed5e38, 0xc268a1f8, 0x9e67abe3, 0x4fd60d29, 0x1d871aa3, 0xb9045193, 0x55a2dad5, 0x09968870,
+    0x9d63c431, 0x7d332181, 0xb7cd4909, 0x699b0132, 0x83903f68, 0x4bc69b80, 0x5822baca, 0x5f77c908,
+    0xd8c35200, 0x3a18a001, 0xaee7e365, 0x3836444b, 0x3a007fb4, 0xda7b117e, 0xbc7658f7, 0x7650a86f,
+    0xd913ed0e, 0xf127d150, 0x615754fd, 0x0743760a, 0xedce04c0, 0x398bfaea, 0xaf97f167, 0x73cc51aa,
+    0xd57eb9c1, 0xb482782e, 0x9dd70859, 0xacdd58a0, 0x32bf9912, 0xd679883d, 0x65fd637c, 0x59aa0979,
+    0x8d7af5bf, 0x85a07376, 0x2d9d440b, 0x1224b0b5, 0xd70eb8f8, 0x1468001f, 0x9ff80551, 0x3e54b1e6,
+    0x9aca10f7, 0x80bb950d, 0x051148f6, 0xa315951d, 0x63195341, 0xd8d4ecf5, 0xb4650e36, 0x34de8949,
+    0x61d939fc, 0x3945a4a7, 0xc6d6fb54, 0x2f5a4c0f, 0x99a74de8, 0xac74db7e, 0xe1e9bb5d, 0xff051817,
+    0x46809eaf, 0xa08522f2, 0x24248bb3, 0xa5642f2a, 0xd1b30fd0, 0x9668046d, 0xfe85a9bf, 0x760753a7,
+    0x4dc36bae, 0x965158e3, 0x5a94651a, 0xaf06cc2f, 0x11d06304, 0x5f6993df, 0x5fbd5468, 0xed0de097,
+    0x36944434, 0x05c24f88, 0xb5d16f71, 0x56c9a748, 0x8c92f683, 0x42abef39, 0xce7db3e1, 0xf171c40b,
+    0x17876e86, 0x203a4059, 0xd0c6b7ac, 0x9cfe2c66, 0x4e2c8fa2, 0x37a6957c, 0xd0d3edd1, 0xeecda2aa,
+    0xc4fbf322, 0xa6e20b86, 0x14089c4b, 0x9edadac0, 0xd2f48d9a, 0x30cebc08, 0xdd5d2209, 0x06686d30,
+    0x5db26007, 0xcf614de4, 0x977792be, 0xe2502c62, 0x9bb63281, 0x94d072b8, 0x33bc0d3a, 0x7e175def,
+    0x66a01e0e, 0x84fd40ae, 0x9fc9ead2, 0x45d859f8, 0xa8be397e, 0x1e4a2b7d, 0xc69b207a, 0xceb3c551,
+    0xf0e094db, 0x9e485da0, 0xcf3b0c28, 0xde5d4c36, 0x43e32739, 0xab3b32f4, 0x7336618f, 0x5a231a9c,
+    0xe536ccc7, 0x48372ea2, 0xc53f4605, 0x5f7df2e5, 0x0e969f67, 0x0f721ba1, 0xcab3f9ef, 0x9c77151b,
+    0x85805bd5, 0xcb3e683e, 0x64a77b45, 0x8ed87514, 0xe040b1d7, 0x418dd404, 0xcf3787f6, 0x616a2c63,
+    0xd19c6061, 0x6d9990c7, 0x0889d1c8, 0xe8a6031e, 0xad071019, 0x49d9bd6b, 0x3c465c23, 0x49490461,
+    0x88e27495, 0x73489687, 0xf2d8569e, 0x0fc5bc9e, 0xebe90451, 0x840a7b73, 0x372851ae, 0x955010b5,
+    0xaaedde9a, 0xcb13c065, 0xee187039, 0xb72d00aa, 0x4a10945d, 0x4dfd21ca, 0x6368aa0f, 0x2e57b6b3,
+    0xe61af85e, 0x0e176011, 0x608d796c, 0x10f4a645, 0x6704a7db, 0xc4a15f48, 0xfe3148eb, 0x6c44ed8c,
+    0xe79673c1, 0x690b1e3a, 0x9233aa13, 0x012fb3b3, 0x19b3a9ae, 0x9c470702, 0x6eceb5d5, 0xdb9947c8,
+    0x296b51e1, 0x0be94dff, 0x530f7b46, 0x4815f400, 0xe06d9278, 0xe82e2b56, 0x7c8a92f8, 0x80c6dcce,
+    0xe2314382, 0x5d329cbd, 0x4ab9fb75, 0x0ae215ab, 0x121953d4, 0xcf293584, 0x6797bcd9, 0x27d8e957,
+    0x2a9ecda4, 0x34ad09c8, 0x51430588, 0xa55d8c42, 0x2a664cf2, 0x23561bb9, 0x3e3f3afb, 0x886590df,
+    0xd10ee182, 0x702be006, 0x784543cd, 0xbac021eb, 0xe0ec5833, 0x05dc7442, 0xd72ae41f, 0x5458c01e,
+    0x658bce8c, 0xb320e6c9, 0x62db25b7, 0xd6e172e8, 0xcad77996, 0xe6cc6c8e, 0x4eff78be, 0x5a052f77,
+    0x7b2e34f1, 0x31333068, 0x963eb017, 0x778eaa05, 0xc458d719, 0x7dc0cb45, 0x4c948f95, 0x4149e109,
+    0x8645e5f8, 0xda0b42f7, 0xca6d23a2, 0x127257dd, 0xf07b5019, 0x17d6df1e, 0x03d90879, 0x20ca4d2c,
+    0xf7c2b0c8, 0x4ef6b6c9, 0xd8b04bd8, 0x4b026a79, 0x48489e8d, 0xc1857f17, 0x64d51472, 0xb52acbf3,
+    0x3a65a3e9, 0x72a322db, 0x3f785da7, 0x5a0037be, 0x61a07693, 0xd735f715, 0x41e59ef8, 0xabb1b456,
+    0xe0719836, 0x65454d56, 0xe6814641, 0x898bf84c, 0x53c6cf14, 0x9649e4e2, 0x0eacb6e2, 0xef2694a8,
+    0xbb6b3d2e, 0x91edfc87, 0xece35e2c, 0xeaf80233, 0x2a7fda84, 0x52b300ff, 0xbcf27ce7, 0x23a390da,
+    0x70aec902, 0xab7e7a0e, 0x27e30ec3, 0x3e0eb9ed, 0xe8a52aa2, 0xeb115723, 0x4e8fd586, 0x84debfac,
+    0x51bd3945, 0x7611fc74, 0x7e3e38b9, 0x53dcbac4, 0xca9b03cd, 0x81685bb2, 0xa2b709b1, 0xc3997462,
+    0x62efa53f, 0x031f4e23, 0xce67a8e6, 0x753f5572, 0x54307e99, 0xeada9ddf, 0xad29e03d, 0xd2a1fdb5,
+    0x2642cdde, 0x36ece7b7, 0x432e7fb6, 0x580912c7, 0x41692371, 0x7b99644b, 0x164bbf0c, 0xa5936819,
+    0x6cc48b6e, 0xf4440734, 0xd0696f1c, 0xb1c5769e, 0x1b05c794, 0x3aef0dd5, 0x94b7cb4e, 0x149b63e7,
+    0x81c96937, 0x95cd6ed6, 0x168b49c4, 0x79c5a072, 0x8ac2b214, 0x0fef7b7a, 0x35013035, 0x6ad91f35,
+    0x132a7d55, 0x86134f6a, 0x805b8c65, 0x3dcea7e8, 0x5eda1a44, 0x2c731a49, 0xe1f2bc10, 0x16ef595c,
+    0x6555d308, 0xa6bc9456, 0x11f93fa9, 0x3f98cd6f, 0x528db728, 0x9b6b9a3c, 0xd8aaba1b, 0xe629faa4,
+    0x0d426e95, 0x8a6a004b, 0x99a36892, 0x3e149794, 0xe3e44a5b, 0x400e63bd, 0x09517f7e, 0xd4409e21,
+    0x6eba9d22, 0x358697bc, 0xd0d0d1d3, 0x319229a2, 0x90d4a502, 0xa6c2a729, 0x15118ab8, 0x718a734f,
+    0xc2983a13, 0x30439d2e, 0x12fdd3e6, 0xc060ad49, 0xe4f9d2e3, 0xfeeac939, 0x31f9a160, 0x5b279762,
+    0xb4211d6d, 0xce4e3958, 0x630b28a7, 0xc79c50e6, 0xb06acf6a, 0xe5c8beaa, 0x8d8f6ef8, 0xba7d0c19,
+    0x00000000,
+    0x784bcd1a, 0x0000d49a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000070368744177664 */
+  { 0x00000000,
+    0xb06dbe74, 0x30bb1c09, 0x7b217d1e, 0x68f5f788, 0xa985a9e6, 0x8d8792bd, 0x6b550a67, 0x41a58a25,
+    0x9084b573, 0x13bd55a0, 0x9d98fea2, 0xdf32088c, 0x19113a00, 0x2cbb6a98, 0xaebd3c95, 0xc56821c1,
+    0xcaefc5d7, 0x216a8788, 0xae3b9fd8, 0xd1e0194d, 0x1c8bb554, 0xda4bdb2b, 0x0b7dc50f, 0x59380864,
+    0x884fc62a, 0x77b882d0, 0xe143017d, 0x1db720d5, 0x4b903f63, 0xf40f2e0a, 0x7e189744, 0x1124dc51,
+    0xf02dfb8b, 0x8c8e1e69, 0x4b34d711, 0x3a684a6e, 0x75f1bac6, 0xbf61e1da, 0x23e812d3, 0x359f70d9,
+    0x75621796, 0xea844ffd, 0x0200b69b, 0x46180cf8, 0x9016ffcb, 0xb4d04fc5, 0x7239e688, 0x41fd7d18,
+    0x78d87708, 0x32085c5a, 0x1d204ddc, 0x5c4c9eaf, 0xdf5b31b0, 0xd2937b10, 0xa3614370, 0x90caddb5,
+    0x49dcec0f, 0x35f14892, 0xe6566455, 0xe1906356, 0x9789195e, 0xacf8baf2, 0x3f16cf3c, 0x21fd4aa5,
+    0x6276c8c4, 0x63d24a36, 0xf581eb2c, 0xf1eb0212, 0x13766f4a, 0x9f58c468, 0x5484f8e2, 0xfdd086c0,
+    0xf6a9abc6, 0x31333741, 0xbfcf0d71, 0xdf73bf42, 0x507aaaf2, 0xcd97773c, 0x726645e5, 0x4bb86ae7,
+    0xaba43520, 0x9a014dc4, 0x110c3326, 0xb265ad5e, 0xa614e964, 0xfe95ec22, 0xc0cae54f, 0x1aa301cf,
+    0xca40aeaf, 0x39c633a2, 0x62604112, 0x0c06ad3a, 0x007ca44e, 0xf74f5c8c, 0x3717a556, 0xd21c5c4e,
+    0x9ba65d95, 0x3c6ca478, 0xa2715b2a, 0x165680c0, 0x8d7b5740, 0x82bba809, 0x9b6eecdd, 0x3bdcfc26,
+    0x1454ad55, 0xe1a7c130, 0x0c4d69ee, 0x7412e0e6, 0xd5968971, 0xf4a87a60, 0x24b158c3, 0x495fdba0,
+    0x9f92458e, 0xd5aeebb8, 0xf290ef4e, 0xf3b1b91a, 0x92731f6a, 0xc57c5110, 0x209a3702, 0xed9d6d5e,
+    0xc3852303, 0x1103d1ac, 0x58ba6c37, 0xccc1318e, 0x2faa5575, 0xd7bd6fc1, 0xfda3dfa9, 0x551e7130,
+    0x1e0ab113, 0x41b1f18d, 0xbf2d7f25, 0x1f1de162, 0x53a60f81, 0x1cbce989, 0x507ccf0d, 0xa3e9428b,
+    0x56656824, 0x3df474dc, 0x737ba87f, 0xf5e849a0, 0xa773a119, 0x71d258c3, 0x1a102254, 0xc41833da,
+    0xb497c503, 0xdb23b6bb, 0x68bd6007, 0x6a5f892a, 0xb51b2431, 0x8b8ded9e, 0x924985ae, 0x570df41a,
+    0xca27e924, 0x93044b13, 0xdb4cce72, 0xe47a9098, 0xe55ce19f, 0x516cf0be, 0xa76d0a1d, 0xa6b4366a,
+    0x06d1bd39, 0x5e0141cc, 0xdaf22596, 0xf773ddb4, 0xc263a5db, 0x3b3d2f4b, 0xebae00ea, 0x24553568,
+    0x9357358a, 0x716f2b4b, 0x4b116d39, 0x1adbb3bb, 0x222fbc11, 0x87a312a0, 0x4cd8d451, 0x47b8042e,
+    0x829adbd0, 0x9e634c04, 0xe9246f9f, 0x2caa3901, 0x7cb71b03, 0x3af23382, 0x7a30322f, 0x478511fa,
+    0xfce7c702, 0x01bacb79, 0xdfce164a, 0x4f7133e3, 0xe10fb814, 0x8eaa9e4b, 0xc9417478, 0x0a1f959c,
+    0xae1fe403, 0xf503af9a, 0x25e51db8, 0x6d65d3de, 0xe15ba89d, 0x5db71c71, 0xd08b06ee, 0x8947da59,
+    0x0a2606f7, 0x85ed6de6, 0x3cec4c73, 0x8e3df4d4, 0x658ec5bf, 0xe69a523f, 0x8d8e3fca, 0xc340a4c6,
+    0xf050b771, 0xcfd215bd, 0xad1a95c1, 0xa94c36fe, 0x1fd67967, 0xf7793d49, 0x6d10121d, 0x968c154e,
+    0x8379da35, 0x5fc459a3, 0x641e7243, 0x7dff9cc9, 0x4f0b70b8, 0x7c28e0f0, 0x6cfc6b75, 0x01058f40,
+    0xf61d2de2, 0xba8eeee5, 0xd26c542d, 0x1dc3549a, 0x0ac86d29, 0x82899e80, 0x44374cba, 0x8d0ec584,
+    0x594394f7, 0x04331513, 0x0956ee3a, 0x84706d40, 0x616d1fa4, 0xa6e0ef29, 0x813a34a0, 0x89ec3e9b,
+    0x88c81548, 0xcc637287, 0x41705f3d, 0xa36e29c6, 0x48aa35ed, 0xec37cecb, 0xdf2d8a59, 0x9e45f0ef,
+    0x9ac953b3, 0xbebccabb, 0xe6f4d923, 0xf1d9ea39, 0x7396a85c, 0xf7cda007, 0x43e506ee, 0x97eeeb53,
+    0x29e0ed6f, 0xbf229485, 0xef27f30f, 0x52b91ea7, 0x3aba904e, 0x57f92da3, 0xd7950bad, 0x0b09580d,
+    0xaabdb89a, 0x9d1a3ff2, 0x5cb5a778, 0xcaa0a7a0, 0x92a67e44, 0xa516bac5, 0x23b03eb8, 0xbce9f771,
+    0xdd8b5e52, 0x847ee3ae, 0x7ea98e01, 0xb798d4a0, 0xc18a3154, 0x225a0d32, 0xd77c4744, 0xe1ec087f,
+    0x2355595d, 0x704855d1, 0x28bef529, 0x9f727506, 0x82243d00, 0xa589c8e8, 0x6a0e52dd, 0x1cd39b77,
+    0x5df10ab7, 0xa2df276d, 0x24aebc11, 0xa0c0d96c, 0x70bae498, 0xe3164279, 0x7d1c233e, 0x0c0b6b49,
+    0x2bfbda6d, 0x6341f451, 0x58642639, 0x6070f5d1, 0x4df3c341, 0x974137d4, 0x272f0a38, 0xde76d1e7,
+    0x99fcbf2f, 0x42eb95ea, 0xfdc06bce, 0x00f8aa54, 0x31c820c0, 0x50205ffe, 0x21679245, 0x5461567b,
+    0x00d73195, 0xf0af38dc, 0xf7f080b7, 0xf4ff3c0b, 0xbfc77d00, 0xeb3748bb, 0xc30f52c2, 0x8ed94c5c,
+    0xa6a85571, 0x8917f6ae, 0x2b1a1674, 0x55ab3edb, 0xeae3d0d7, 0xfa43e877, 0x4c064603, 0xe838c394,
+    0x08374e47, 0xd7f795d7, 0xd0051032, 0xd5b92afa, 0x9c023895, 0xc7ea4c61, 0xf7b911ea, 0x93efe7ee,
+    0x0422cc63, 0x690723fc, 0x4fb58fc9, 0x4a72ac49, 0x563a8875, 0xcdbf31c1, 0x804f2eb5, 0x993b0969,
+    0x2f811d9c, 0x7bc465f4, 0x023216da, 0xa7b78fe8, 0xa4f477c1, 0xcb8d4158, 0xf8b56d67, 0x997d5117,
+    0xfb4b4966, 0x47474fb0, 0x9841e324, 0xdf3a0b7d, 0x12dfe845, 0xcd6bb58f, 0x4afba5f8, 0x8895a9d7,
+    0xb5bc822d, 0x233666c4, 0x33205c72, 0x10a97474, 0xad2d79d9, 0xe6893f78, 0xf9b5fcf8, 0xd4e52362,
+    0xd49dcb97, 0xcafdeea2, 0x641d1d77, 0x2f7a2fd5, 0x213ba904, 0x1ad9e5f4, 0xb7224291, 0xd0e72f78,
+    0xc5abdc24, 0x0a1e4982, 0xb21a9309, 0x7ff8b97b, 0x78b70a93, 0x01cf88a1, 0x9e339586, 0xb573d51b,
+    0x25eac284, 0x458ecf5f, 0x57c132fb, 0xa18107b0, 0x2d8124d0, 0x97575fb6, 0x2be3bb78, 0xb8dd6582,
+    0xe3a12c28, 0x539ad4f6, 0x858a49e7, 0x959868cc, 0x5384e8c0, 0x1a0d7f17, 0xefb9cede, 0x64e47aa9,
+    0x3a850ee8, 0x737e3563, 0xb5a789f8, 0x0a916c99, 0xb35c2536, 0x91842fb2, 0xad4b27e5, 0x833b8292,
+    0x4c0c2687, 0x7689fd0b, 0x5edf0f5b, 0xf44c8183, 0x16e15467, 0x6d2f073f, 0xf2ed6b9f, 0x2c7f16af,
+    0x3a8097bf, 0xa8d7f26d, 0x17e690c1, 0x64238efd, 0xa749795b, 0x34894a5f, 0xe4bb4148, 0xfbc102c7,
+    0x18765e77, 0x746f21d3, 0x8ea0771c, 0x3a4b811e, 0x9db7f526, 0x650f4fd7, 0xdf7d582d, 0x4050ba52,
+    0x1a0a13c0, 0x14486460, 0x5ff549f9, 0x2b70fd4b, 0xf6305da0, 0xe89ca73f, 0x6df2b210, 0xfbe7216e,
+    0x3e30353d, 0x0840afe7, 0x56913a30, 0x26621ef0, 0xe9d1ce31, 0x5a27fe08, 0x728bbc54, 0xa5a7f962,
+    0xc106fddc, 0x62baa7f2, 0x2a90789c, 0x840e7096, 0xe9f64ee3, 0xa4568c95, 0x93658acb, 0xdb8a78a0,
+    0xaecaee9b, 0x02216957, 0x5a442d68, 0xc9cf000e, 0x5fdff170, 0x06d80eb0, 0x07074725, 0xca229105,
+    0xa259a64e, 0xd0b3634e, 0x02b2a02a, 0x809af879, 0x0bdcc458, 0x9be469d5, 0x1f260224, 0xb5766ac5,
+    0x154a9a36, 0x19867adc, 0x5d6a4ee5, 0xcb3e3cbb, 0x08a8cb87, 0x9379cadf, 0xbb98d0e8, 0xc33790ba,
+    0x306e280f, 0x0be987cd, 0x2abcb38b, 0x5049f6c2, 0x87c7da41, 0x5479669c, 0x28e13f9b, 0xc5e41bef,
+    0x03cad5a0, 0xbeba5b3c, 0xe88dfc7b, 0xec214ca6, 0xc62c07e8, 0x0e12cfee, 0x125747d2, 0x4a60a1f7,
+    0xae7551f7, 0xc480b022, 0x601061c9, 0x4e40298a, 0xbc403a38, 0x010bd592, 0x0dde9a46, 0xad6114e2,
+    0xe3846f4a, 0x76173e45, 0x7e588d52, 0xdaa9742a, 0xb3173c6e, 0xe10bc555, 0xd4712804, 0xbdfc16d4,
+    0xf16e1838, 0xae99fb2d, 0x4a9eb3ef, 0xd02c2d7c, 0x05355b60, 0x84bbdc1e, 0x6dcae0ed, 0xcba12f15,
+    0x23eecc6c, 0xc74bdb4b, 0x21c65c6d, 0xde9734a2, 0x3dea3dee, 0x934402ca, 0x60b78056, 0x565f96db,
+    0xcb8f584e, 0xfdc0304f, 0x4fac78d9, 0xe532bf91, 0x19d4ae7f, 0x491cb6d4, 0xaf38a287, 0xdd3c79b1,
+    0x0a06eded, 0xd4d37dd8, 0xbc62c6ae, 0x551ebcaa, 0x7bb6efdf, 0x7eb8d244, 0xb9341a68, 0x08db2c33,
+    0x7f613890, 0x3828c040, 0x4a18abd0, 0x8c8e7b84, 0xd4b5640d, 0x8d486804, 0x7426fcfb, 0x1ec4d0c7,
+    0x2c22dedb, 0xa6120a76, 0xecd6e5e2, 0xb23cb0f6, 0x670264ae, 0xafc815d8, 0x1681edd7, 0x1fd22ac8,
+    0xd5a6aeb8, 0x65d9c5ad, 0x57bfc8f2, 0x6194ba32, 0x7754c116, 0x8a6de3de, 0x5dcc7e6f, 0x60d979e6,
+    0xee16fe5f, 0xce771df7, 0x502c2bec, 0x4fce7f0a, 0x308eb1fb, 0xe950dae7, 0xb1f4e0e1, 0x3d1e309c,
+    0xeb711cf2, 0x6fc4f5a5, 0x9f2ea0d1, 0x4063bfaf, 0x23d580da, 0x812a3608, 0x40b77363, 0x4ad94f4f,
+    0xccf86c8d, 0xc557d15a, 0xf418752d, 0xbf01ba25, 0xf37626b2, 0x9c98fe67, 0x0b02e543, 0x0f8c5a3b,
+    0xdeeb6b77, 0xecaca09e, 0xb0f78217, 0xf499a16f, 0x39c6d3f2, 0x36641240, 0xbe5cc2da, 0xc7f5238d,
+    0xe72786dd, 0x8799b535, 0x1614400b, 0x4e2251b0, 0x19521b27, 0x125ca139, 0x40b43692, 0x48a39a6d,
+    0x408dd50f, 0x396a1032, 0x63951508, 0x7b976240, 0x409abb35, 0x80814e6c, 0x6bd73656, 0x62a30968,
+    0x82f85a88, 0xc28b412d, 0x41401581, 0xe7ed1113, 0xae8ac8a9, 0xb7d03ca6, 0x19695c09, 0x1b59373c,
+    0x49a59c2d, 0xc11d873d, 0xc65b96da, 0x9a11069d, 0x2ec05c63, 0x81aa6d78, 0x1dd56866, 0x2bdc5104,
+    0x5af34fcf, 0x534d1591, 0x304e8451, 0x2f6746f8, 0x36a448b1, 0xeb14eb04, 0xd23b66d4, 0x19e03b04,
+    0xf7baec06, 0x1f8048bc, 0x797f9d1f, 0xbfe58996, 0xc3a2ffe7, 0x945eecd1, 0x09a62070, 0x48ef96f9,
+    0x842491e6, 0x964fc609, 0x40205359, 0xfa8a35bf, 0xb9c3ff1d, 0xc5c8c8e3, 0xb2674a43, 0x5eed51c5,
+    0xdad6cd16, 0x30005097, 0x6c3c2bb5, 0x38e7464d, 0x40bccc3a, 0x4ca3c2d3, 0x8fb74fc6, 0x8cac1fe8,
+    0x2b71a7e3, 0xce03af0e, 0x4f3c8279, 0x1cb435e7, 0x643d0632, 0x2feafac4, 0x4ceca8ac, 0x1121bef8,
+    0x9ccd7f33, 0xcfd4e5e0, 0x888d7e12, 0xe80e4820, 0x0b3860ac, 0x5dbee5e6, 0xa9f1d4e0, 0xef56f0a7,
+    0x89936c7d, 0xc283ce7c, 0x55efab85, 0x84e75576, 0x2b69ef9e, 0xbdb51b6e, 0x40a4c22d, 0xfb66ff5d,
+    0xe5c46352, 0xf7909b89, 0xcf07f46d, 0x32b91e78, 0x843ad1bd, 0xee6aba64, 0xd77a2d0c, 0xcda4e7ca,
+    0x516f3ec5, 0x598f2586, 0x721854da, 0xaaeecfee, 0x757a06fb, 0x245760fc, 0xc0b30c70, 0xa89c9edd,
+    0xa144e88d, 0x359e1bc7, 0xd847d1a5, 0x34a06db8, 0xf2452a21, 0xbe07b6bd, 0xf86ed91f, 0x5a83ba00,
+    0x2ec840ac, 0xe40add36, 0xee22c712, 0xd9fb67a5, 0x3dadef07, 0xd520d9bb, 0x395381fc, 0x4afe3379,
+    0x9ed043ad, 0x9afde7cd, 0x43f4e070, 0x47318eaf, 0xb97675a4, 0xaa6a8c86, 0x084bec34, 0x9a821540,
+    0xabe2ed09, 0x1d524cb4, 0x49cda873, 0xbdda1b9d, 0xa86a6fbe, 0x3063f0e5, 0xbd80bef9, 0xf304ffdc,
+    0x090246af, 0x4b15753d, 0x2cdc9581, 0xb536f747, 0xf305b56f, 0xa1354ec4, 0x301353cb, 0x6f322007,
+    0x4f1737a8, 0xb125f5d6, 0x4450008c, 0xa803529b, 0x2473cf91, 0xc4d2e51b, 0xccc0b1c4, 0x18b468b0,
+    0x2150d251, 0x9c769ce2, 0x9d1b7f85, 0xaa989bcb, 0x4b5d7bf6, 0x32d17f2c, 0x57f321dc, 0x64e1df95,
+    0x50d82f05, 0xc879e354, 0x411f9c71, 0x0dac4eb3, 0x5424887d, 0xa08c5503, 0x103b16c2, 0x8ed7140e,
+    0xd0d8fe2c, 0x511d7346, 0x12372e31, 0xb84d764f, 0x98ef160e, 0xa7714be9, 0x68e5bc2f, 0x6f22e826,
+    0x893807b6, 0xe1ca7e82, 0x700b9d9e, 0x7bda019d, 0xe665fffa, 0x354ece46, 0x3801b341, 0xed41e25a,
+    0x5e8c0190, 0xc9414a5a, 0x35e3dc24, 0xc08a22ed, 0x310b3cce, 0xfee27077, 0x13cabd46, 0xdba71b36,
+    0x44020a0a, 0x864ef1e6, 0x49dc1368, 0x1a1c44d5, 0x49df5216, 0x66599ab1, 0x4ae6dc5a, 0xa0b7f869,
+    0x610349d9, 0xbc895eac, 0xa14cc157, 0x22d03fe8, 0xcdea5fb0, 0x21bb9073, 0x9d6e208a, 0x20d27ae6,
+    0xaac9cff7, 0x3a5f013b, 0x8c3f22c5, 0x0ec3c88c, 0xba12e673, 0xe311dad3, 0x3b7d3459, 0x90342952,
+    0xc762b4c1, 0x291fe23e, 0x331e7f15, 0x8ad72856, 0xe66eb986, 0x019417df, 0xd6145689, 0x7b362bbe,
+    0x7fc80c91, 0xdf6905e9, 0x91d0b6ef, 0x50a2601f, 0xaf855573, 0x7a914628, 0x051e4f63, 0x8afa7e24,
+    0x39c48505, 0x270d365a, 0x0f3e04f6, 0x27620788, 0xecbe2e42, 0xcfb115c7, 0xa33179e1, 0x572e0563,
+    0xab1413a0, 0x922ea993, 0x2a110795, 0xb3230f26, 0x223807b3, 0x64fba004, 0x8e9eaa7e, 0x159dab88,
+    0x7f49f686, 0x2ccc30f2, 0xb0837730, 0x7a39f640, 0xc05d94a0, 0x71811316, 0x9807bf20, 0x12419ef0,
+    0x3239cd48, 0xeab22a5c, 0xa9f10c06, 0x656fcd4c, 0x0f702675, 0x149813c8, 0x5ea49b58, 0x88c1d280,
+    0xca8711f1, 0xb60fea4d, 0x668441e3, 0x37c24d93, 0xfde379d3, 0x0bf853b4, 0x16043a5a, 0x6f645154,
+    0x39378263, 0x21193f87, 0xdbc7586f, 0x6e9a8b00, 0x43c139a2, 0x15e5574e, 0xcdaea8d3, 0xd8a47fe8,
+    0x00179aa1, 0xee0245c8, 0xc82ef292, 0xce02cd9d, 0x1a9f7610, 0x9d796287, 0x2d8ee87a, 0x1b0ac8c0,
+    0x06844602, 0x0264e1cc, 0xb04f23e6, 0xe46f60f7, 0x7dfcb0fe, 0x31c1861c, 0xf2577125, 0x31a7120d,
+    0x51793b1c, 0x6ead8c49, 0xa53093bf, 0x47e7e295, 0x32a7fbca, 0xdaf01fcb, 0xc78c1802, 0xc532a1e9,
+    0x517127e3, 0xf82fe882, 0x7b0d700b, 0x4a37bd5f, 0x0f14b0b5, 0x630d315f, 0xcb04513a, 0x01972415,
+    0x6e3789f0, 0xeeac6013, 0xde260f05, 0x1bf3aa7d, 0xdabe3e33, 0xf5679c3c, 0xcbbfde35, 0xbafafb22,
+    0x54c37589, 0x381c4538, 0x935ed5af, 0x4b214950, 0x88f4c647, 0x2b4192db, 0xef156032, 0xf6446753,
+    0xe2ed30a8, 0x08e4666c, 0xfe8b0861, 0xf0c496d3, 0x35b40097, 0xe679da9c, 0x3560b976, 0x0b684e06,
+    0x24c4dd88, 0x8b58e903, 0x78bfb2ae, 0x81bb7d1a, 0x4d9c1ef5, 0x28b94b56, 0x69a819ca, 0xb43ab113,
+    0x0ad9c567, 0xecaa3c86, 0x9b9c913a, 0x726f9184, 0x51a4d13f, 0x8b7b1d1c, 0x2d477802, 0x1f7a0635,
+    0x2cbd7d54, 0x9dae36a1, 0x1215f69b, 0x88209c07, 0x182e6a6b, 0x7afd7eda, 0x5a02bf9a, 0x00755931,
+    0xbf55da8c, 0xf9731448, 0x9a2bf1f3, 0xddc1b18b, 0x57344262, 0x8346bf78, 0xf3e07b19, 0x81866c52,
+    0x4d46d928, 0x3afabd64, 0xdba5ffc9, 0x1600b6a5, 0x97b7049f, 0x90879aea, 0xc54eb2eb, 0x8bcb135a,
+    0xd24d6a23, 0x03dc4cb4, 0x81c7cc4e, 0x9c588ad2, 0x8ea7c074, 0x5b07a2ae, 0xc309ded2, 0x2bb0d57c,
+    0x97071a20, 0x5df8af4f, 0x37f22112, 0xb2d917dc, 0x506ece24, 0x65a70eea, 0x55957529, 0x7dd8e164,
+    0xe67e7447, 0xdfa33038, 0xfa4bdde8, 0xbfab864c, 0xce876164, 0xe12fdc6e, 0xa9699b1b, 0x0edb01df,
+    0xa25ed7f0, 0x7553624e, 0xde485da9, 0xb9aafcd5, 0xa9e50801, 0xf9a55c84, 0x8bb34b78, 0xda7f4ba0,
+    0x00000000,
+    0x3c25e68c, 0x00006a4d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000035184372088832 */
+  { 0x00000000,
+    0x874034f8, 0x5c2bd054, 0x09000788, 0xf2162511, 0x534fd44c, 0x52dedddb, 0x7a073f3d, 0xa55c9d2a,
+    0xed68477e, 0x9f03baa7, 0x4aeff757, 0xbfe54b30, 0x5d4350e0, 0x8ae2ccb0, 0x90926b0c, 0xf9a7ab0a,
+    0x83854501, 0x814992a5, 0x51faf9a4, 0x4e40f4de, 0x11d24c76, 0x8810ab7b, 0xd0696c75, 0x998f0ddd,
+    0xa8b42496, 0xc7a9a425, 0x38c6293e, 0x4c4ff191, 0x094e3127, 0x8fb951e8, 0xd38b37f6, 0x4fe3ec47,
+    0x8b53c2f3, 0xbdea68c2, 0x1369ceee, 0x901d8732, 0x5b27a3ac, 0x849f07d7, 0x171b1785, 0x95960d01,
+    0x2ee575e7, 0xf481957d, 0xcfc40841, 0xff0eb9a6, 0x1a41d74e, 0x9d303e75, 0x934a6fb7, 0x2dd6e3b8,
+    0xf166de52, 0x79117b20, 0x154e6adb, 0x4e64909d, 0x45b123a6, 0x6a668e70, 0xbd711775, 0xbb433851,
+    0x71dc9bd1, 0xade41fcf, 0x3c28917d, 0x51ec85da, 0xcb0df55a, 0x59bfb112, 0x4c1d6375, 0xb9350b75,
+    0x84510980, 0x7d805810, 0x0b6339e5, 0xf1df8003, 0xa9c5e093, 0xa051a57b, 0x4c62cc0b, 0xd3b49b26,
+    0xd3d22c36, 0x8abaf1ad, 0xffe83715, 0x169ecf07, 0xcba7236b, 0x2d5fd71c, 0x0636368a, 0xc647c78b,
+    0x23e82ba4, 0x1c335b96, 0xa1bc90b0, 0x2e135530, 0x68fcc2cc, 0xb2ee9ca1, 0x82f9fd56, 0x45ea3567,
+    0xe714629c, 0xe8eed21f, 0x2ccb3c77, 0xc553fc50, 0x969c7d0a, 0xeecd2481, 0x86d00450, 0x235ff822,
+    0x89fe52eb, 0xeb72ee9c, 0xb7a94385, 0xb2419de7, 0xb62cec34, 0x51377c22, 0x8d04e0e2, 0xa93ef645,
+    0x45dbb622, 0xb9f81b3a, 0xbbd67a9f, 0x16d28c65, 0xcbecbd9b, 0xe4faed04, 0xfa08dbd5, 0xc2fa98b1,
+    0x855386f8, 0xf964ebbf, 0x4b22092e, 0x2841fb63, 0x916eee2f, 0xca5a5824, 0xe4e5fd06, 0x478a6d3e,
+    0xe36d908f, 0x4956a23a, 0xb4ae196d, 0x7f66ad64, 0xa6ceb7cc, 0x5a55dffc, 0xd00f4a5f, 0x344fddf9,
+    0x9e7413d7, 0x4019321d, 0x3fb40b52, 0x67cf61f1, 0x214dfa10, 0xec8b06b3, 0x400360c1, 0x9f940d43,
+    0x41808da8, 0x156bce9f, 0x203595d9, 0xbf07fa20, 0xc3e05901, 0xed8b30f9, 0x0a20f562, 0xdb299de0,
+    0x38dc5b28, 0x5285bd69, 0xfffebac4, 0x36572e6a, 0x89b5a30c, 0x3c706c8d, 0x6e19d98e, 0xa6664361,
+    0x635e9055, 0x6632d74a, 0xac1cda82, 0x27b8cf61, 0xd3907d2e, 0x934c6c92, 0x21741aeb, 0x4843f429,
+    0x5b7c0398, 0x38f09329, 0x8b62852d, 0xdfd523b5, 0xcc72bc1c, 0x1079a1e2, 0xca69d96a, 0x9a9d8726,
+    0x9998eade, 0xe7311774, 0xc4e3cfcb, 0x9da01e53, 0x95331de1, 0x1ae86230, 0x13069cb4, 0x590c6ac7,
+    0xf39ddc9a, 0x154ea065, 0xdbb1378d, 0x1c735bb7, 0x9ee1bb9e, 0x75b332a2, 0x59ca8e80, 0x42cfeef7,
+    0x0829bbd0, 0xd5dbbc23, 0x1c0475cd, 0x77bef138, 0x35ba5988, 0x4d98a0a4, 0x19029b9e, 0xfa3c4496,
+    0x346c4477, 0xc6eedcdb, 0x952e48ed, 0xdc2107af, 0x0353cb69, 0x49e8207b, 0x1ce8e3a1, 0x227e5471,
+    0x3b1513de, 0x18e846c7, 0x9c55405a, 0xdbc39ab2, 0xdbb2aa40, 0x5bc07748, 0x20dfc101, 0x5869c0d0,
+    0x8f7bb072, 0x689292ee, 0xcde6b5b2, 0xa47b8383, 0xe06f23f3, 0xa89723c3, 0x778dd90d, 0x433f8dd4,
+    0x436689b7, 0x7590e0ba, 0xa9344e36, 0x7bfc8e5e, 0x58d2cfa3, 0xdee305c1, 0xadd0ac68, 0x866392f3,
+    0x2d316854, 0x9c87960b, 0x9d9eab9a, 0xacf0926f, 0x9826911f, 0xeb843a99, 0x7562f329, 0x5ec573c6,
+    0x1f161abc, 0x793baf49, 0x4275ea98, 0x509ce112, 0xc2bd439b, 0x195d181a, 0x93e06cf4, 0xae4d7eb6,
+    0xa4a4b187, 0x66c8b15a, 0x833e7fff, 0x53853efe, 0xeabae4d0, 0xa3914f5d, 0x07c69ac6, 0xb23e8d39,
+    0x5ecad9c1, 0xab039b89, 0xe919df41, 0x664c2793, 0x42cd1749, 0x87ae6f88, 0xe0f71532, 0xdb2a1230,
+    0x8050d403, 0x2c076501, 0xe5baf9f3, 0xfa764e8f, 0x0db61736, 0x906beab5, 0xd9153927, 0x0a4732b7,
+    0x9715de2e, 0xafbdfafa, 0x44f0d2a9, 0x15de5a2b, 0xcb9f7218, 0x05cdd394, 0x11bd878e, 0x3c74d448,
+    0xf04d1221, 0x1a605c59, 0x2d42b25e, 0xd6ff54df, 0xf9b99b05, 0x87051f81, 0x419213f4, 0xa911ea29,
+    0xabfe6a53, 0x4f97a4a3, 0xd440a035, 0x57aa8d4e, 0x3fbfe134, 0xcb7ff888, 0x5601d36d, 0x4421fa6e,
+    0x0932d513, 0xd1b888f5, 0x664e236c, 0xa6f8789c, 0xa7b0d4d5, 0xed6e61a7, 0x77f68ff2, 0xeba6fd10,
+    0x0414bc70, 0xbd155d1a, 0x080ffc68, 0xc0523bcc, 0xf0f1d996, 0x6f1d38c3, 0x04f279b1, 0x5ddbdb94,
+    0x230c69a9, 0xf193c29f, 0x5778f71f, 0x7e0f99bc, 0x9779ca46, 0x1654ad26, 0x5902d78e, 0x34687e46,
+    0x85bda356, 0x266253fd, 0x4d9eed0d, 0x3a8b771a, 0xc4b6e652, 0x424f177c, 0x04118b8b, 0x34f92244,
+    0x9e4b0898, 0xe6792097, 0xbc8f0579, 0xf8c9b34e, 0x8b8f6775, 0xa039ffb0, 0xf27e9ba7, 0x112113e8,
+    0xce2299cb, 0xc24dfa6b, 0x90a1086b, 0xf800247b, 0xa333ea8b, 0x12792f8e, 0x153d89e1, 0x8190b072,
+    0xd0a82846, 0x579c8106, 0x8890eeef, 0xb826c19f, 0x03e8d9ec, 0x261d7f14, 0xe685fac6, 0xe061fc69,
+    0x6594904c, 0xd777851e, 0x2af8170b, 0x9b6cc3f8, 0x102b37cc, 0x34c3d4f2, 0x9b84a2dd, 0xf70e0729,
+    0xbf3a8f24, 0x2f9aa85a, 0xa9a9d749, 0xc5adc328, 0x1496cfba, 0x5515db8d, 0xe93a7a98, 0xde9a7773,
+    0x955c1784, 0x72f0adec, 0x00fa7f39, 0x3fa500fb, 0x9fc35830, 0x77f36106, 0x39408b15, 0x4f75dd0d,
+    0x493b36ac, 0xe50fb411, 0x9fb43265, 0x61736cc6, 0xc40a8b56, 0x512e246c, 0xffce7914, 0x780e5de8,
+    0x1a25dcb9, 0xae552a6b, 0x56ad25b2, 0x38bb8dd7, 0x5dd8071c, 0x934068a2, 0xfe9676ff, 0x00dd473b,
+    0x09738a92, 0xdf7a83bb, 0x5e77ac33, 0xb7565131, 0x637f69f4, 0x1c74cda7, 0x90c0d2f7, 0x29b7a119,
+    0x37c65e55, 0x660f273a, 0x3df7db48, 0xec39ade9, 0x476dcabf, 0x9fb3f195, 0xdfccc079, 0xf9f04337,
+    0xa49f15a2, 0x6068ef81, 0x6eb9df42, 0x0a68a9bd, 0x1b4a0cad, 0xb61f7971, 0x35c9cbb1, 0x79a2fafd,
+    0x64817b4d, 0x11d0da37, 0xe44a6ee4, 0x308d8277, 0x6b60dc49, 0x2c455c4d, 0xd633d28c, 0x67500d12,
+    0x141613b9, 0xece646e4, 0x490901d0, 0x322d1b2d, 0x5cd961e1, 0x003cccfc, 0x03cab876, 0x5c5fae2a,
+    0xd45f236c, 0x09213bd2, 0x31bdbb99, 0x27955888, 0xe1633a23, 0x586ee3bc, 0x9bea400a, 0xce6d6131,
+    0x4234e160, 0x208757b8, 0xdba20de6, 0x0c7d3b55, 0x20cc275e, 0x9b2b59ac, 0xdff9f12b, 0x39f9ccd1,
+    0x67e6a189, 0xd9064018, 0xff110ca4, 0xe55da665, 0x0a613e87, 0xc643ea2c, 0x9e3fcc60, 0x498ea492,
+    0x1373720a, 0xf4912139, 0x53716a66, 0x5cf6c9ef, 0x3ff299db, 0x4e2db7fe, 0x7dea89ae, 0x58d8464c,
+    0x283ab6ba, 0x57b2978b, 0xa22856a1, 0x514daf5a, 0x096bec3f, 0x0fe264fb, 0xfed7a151, 0xfb9eef3a,
+    0x9bf82a80, 0x8c1fa15a, 0x729225fa, 0x453159ca, 0x48f917e0, 0x81e2eb27, 0x9008d959, 0xaadfacd0,
+    0x83b1d431, 0xa04891c0, 0x99c0243c, 0x03e10d6b, 0x60bb21c6, 0x2babbba5, 0x31c7faf5, 0x7270123e,
+    0xc81706a4, 0x26d97e8c, 0xf5b10670, 0x77e9467e, 0x9d53314c, 0x5d3e4421, 0xbc3817ee, 0x8e25eb37,
+    0x99230195, 0xdc78003d, 0x2f54d4b9, 0x05796c13, 0xe64741c3, 0x7e72c442, 0x83b7be35, 0x5e416dbd,
+    0x759b476e, 0x2176190d, 0xbb043a0c, 0x76cb263a, 0xd7d3528d, 0x3ee7bfdf, 0x4273d81d, 0xfa5b079f,
+    0xf06e58e2, 0x4bcedff7, 0x4866760e, 0x7278de40, 0x04054bb0, 0x6e24750f, 0x8ecb7d6d, 0x206bc23a,
+    0xcbae31c4, 0x536e2455, 0x8cb8aa3a, 0x63ff13ca, 0x6f41af9a, 0x98c81de6, 0x07d55c1a, 0x95827000,
+    0xda1844b1, 0xd603dab3, 0x55634caa, 0xd1defdf8, 0xfc070607, 0x0d3cfe16, 0x4a6f3464, 0x89a9963c,
+    0x660c19ce, 0xb0af4393, 0x48120bf0, 0x926297b8, 0xfd5b49d2, 0x0e16b26d, 0x2e3519e9, 0xfa0e1626,
+    0x6cbfe7fb, 0xc8c001ec, 0x08435a11, 0x92180645, 0x69e4a491, 0x60a47855, 0xb39fb8e3, 0x278e23b5,
+    0x5510db39, 0x00cd87a5, 0xbe277810, 0x48eb840e, 0x40aab794, 0x2e7af737, 0xeb1d5482, 0x27224581,
+    0xfc0302a4, 0xd083e37a, 0xacd7c765, 0x8bf933c7, 0xef9de469, 0xcee5620e, 0x144f5c0f, 0x843a093b,
+    0x039e24b5, 0x83ed2332, 0x7bc96e90, 0x7ddb7f99, 0x53fd8ce4, 0x5a8ae5a0, 0x0b4d3b10, 0x6e41f36b,
+    0x5dfeeb26, 0x90da7338, 0xfc374107, 0xaea49c9c, 0x876a5db2, 0x8f4f2250, 0x21ccc99e, 0x0cea4ace,
+    0x56ad69ca, 0xe7a2ef7b, 0x9d58a662, 0x505e2799, 0x7e4f1856, 0x23a7aef6, 0xa7dad04a, 0xcf938baa,
+    0x4f644fce, 0xccec9bed, 0x2da2e3d1, 0x3446b901, 0xfa8c8f12, 0x36109574, 0xb9be4314, 0x9a3c3ef0,
+    0xdca5288c, 0xd0d077ff, 0x0ab6fda9, 0x79985634, 0xe97c8308, 0xc11f7f2b, 0xf14ed2cc, 0x442d3aa2,
+    0xee110cd2, 0x38c62a19, 0x5c2e4b83, 0xfe976772, 0x804ce0e6, 0x91a3ca32, 0x0eb6a03b, 0x1b922499,
+    0x8dbbc8b7, 0xbe417f77, 0x360a060a, 0x215950eb, 0xaaafa48b, 0xbd3cfc16, 0x962d11e6, 0x5d683e2e,
+    0xbca8cc88, 0xd005cd50, 0x9d5646bb, 0x5e21a301, 0x462f5d59, 0xa870c1bd, 0x4b73714a, 0x04c85199,
+    0xb711dc98, 0xa6aafab0, 0x67083b31, 0x0fd2f137, 0x6ed19c15, 0xa7c68258, 0x7c6228c2, 0x864fec85,
+    0x435fd0e5, 0x264d2fa7, 0x1db612aa, 0xa636623c, 0xe88cf500, 0x816edbf5, 0xd4cfb8e3, 0xa14e3dd0,
+    0x6ef597e7, 0xf0f15936, 0x4a11d67a, 0xf00d94a4, 0xdfef12a1, 0x585c6444, 0x5a86f1fd, 0x252d5cec,
+    0x3ea956b4, 0x0ae1efb2, 0xfa407a82, 0x50a28d10, 0x453bea28, 0x01343806, 0x707b97ae, 0x199dad9f,
+    0x45fb5483, 0x6745ffa3, 0x926fe453, 0x2119c2c8, 0x76f53d02, 0x87f153a6, 0x02978659, 0x36bd3909,
+    0xe66d5b71, 0x12514943, 0x2e644a4b, 0xf77a1a41, 0x977de985, 0x95ee0aef, 0xe9d6e5e3, 0x2f6dd15d,
+    0xbbe145d7, 0xcdab5356, 0x2c85bc7a, 0x7bd872b0, 0xbc3ab51e, 0x6cf2c4cf, 0x704f52a0, 0x9d3b10ae,
+    0x21a0f817, 0x617cc631, 0x3af5ce41, 0x92d28be6, 0x59fdbaf8, 0x174fdbc5, 0x5242bc92, 0x2059a4cc,
+    0xaa6c173e, 0xc6f71f1e, 0xdcd08f9e, 0xb2fe5f23, 0xfbc25702, 0xa498ad85, 0xb5ca9e48, 0xaa00f30d,
+    0x9aed052c, 0x433cdaca, 0x77694b2c, 0x92d86c5a, 0x40b129d3, 0x08d22961, 0x9549bd64, 0x75dc6050,
+    0xfdde12b3, 0x5a9bb207, 0x741e2b33, 0x6f2b1579, 0x92916479, 0x33cf6615, 0x88ea79a1, 0x899f87a7,
+    0x372bb2e9, 0xacfd027c, 0x83b3608a, 0xc7cfc910, 0x829ce3ff, 0x91b3031a, 0x62a6cd6a, 0x2b3d8abb,
+    0x7be55a8e, 0xd5629f1e, 0x653d6711, 0x30c945c8, 0xf3776043, 0xd63e31a0, 0x59ca41ea, 0xd85596b5,
+    0x655e24fe, 0xdf796c34, 0xc6d85170, 0xf1514c3b, 0x7bc17eed, 0x97d10d18, 0xfee1673b, 0x3357bdfe,
+    0x1e27a032, 0xd194c560, 0xf0b2dc87, 0xfd8d011d, 0xf2fa26de, 0x864ec564, 0xfaa9b185, 0xd10a1386,
+    0x388a9d5f, 0xcd00aeaf, 0x9377315a, 0x34a79fb0, 0xf012e569, 0x35508ef1, 0x1d55e72b, 0xad332722,
+    0x7c766d61, 0xc9226ae4, 0xb7027dd5, 0x7b5b33e8, 0x3c757ef1, 0x45e73308, 0x1cd98444, 0x4623686f,
+    0x7e2d333e, 0x76a0856c, 0xf10e548a, 0xfb116fa6, 0x32212b27, 0xf63755de, 0x4d21003f, 0x1f11a547,
+    0x1fb8c40f, 0x9e3222c7, 0x274e8c77, 0x59a42c5e, 0x72af258e, 0xa9910f09, 0x0510b58f, 0xb576bea1,
+    0x41ee79b6, 0x34619849, 0x3c09ea43, 0xf9afab77, 0x06bacc36, 0xa4e82f4e, 0x129575a2, 0x7b1ceb99,
+    0x9708d2a2, 0x04592831, 0xa5616f74, 0xdc4c0af2, 0xa80416a4, 0x6efc02a7, 0x0c57c142, 0x7b1508e3,
+    0x1818e088, 0x8bde016d, 0x1901aca1, 0x002c853e, 0x246d8197, 0xbe7fe5c9, 0xb67b879a, 0x03da26c8,
+    0x32b2f71e, 0xf40860a6, 0x8e610632, 0x39c9c887, 0x35e76439, 0x3629bb7f, 0x4876fc83, 0x8896fce9,
+    0x11ec250a, 0x70e91827, 0x9fc70832, 0x9ae1a873, 0x73ff74c5, 0x5a751068, 0x373f2e10, 0x25c2e496,
+    0x6257b535, 0x3acdf58e, 0x24dc9ab8, 0x840360a3, 0xdd71bae7, 0x3171c3b8, 0x0580c887, 0xe05cfb02,
+    0x0f1d5d20, 0x8a8bc73a, 0x2d854b60, 0x80644d30, 0x108489ca, 0x3076cb02, 0xb14c5c01, 0x36c2c84e,
+    0x6e031d4f, 0x8fff080b, 0xca484b6a, 0x48e58d5c, 0x299b5098, 0xa0d02e15, 0x17866f0c, 0x2c37f29b,
+    0xf7b362ea, 0x687fa8b8, 0x3119209e, 0x8de60357, 0x971e7349, 0xd7bd98e8, 0x92fbda57, 0x3769ad09,
+    0x0cf7e849, 0x99ad5281, 0x00ddd026, 0x8fb8f5f8, 0xbcae45c3, 0xa1722afb, 0x0402b75c, 0x2ef5240c,
+    0xdad0a744, 0x57f74de0, 0xd4190ac2, 0x48ba132e, 0x5bf9b233, 0x57162b3f, 0xb84913b8, 0xf1c7c77d,
+    0xbbf80495, 0xb98cabf4, 0xf680082e, 0xa6eb95d4, 0x0f02a68f, 0xeff5d198, 0x5acf3865, 0x42c62b72,
+    0x81c1f79f, 0x16f80d2e, 0x237a1888, 0x5010e573, 0xba010e42, 0x96e90c90, 0x7d54c089, 0x47db09a7,
+    0xf13f41d2, 0xb5a032a1, 0xdb161737, 0xe0985863, 0xc5e8891b, 0x7c85db4d, 0x4f80db37, 0x6b6d8054,
+    0xe77f2532, 0xd2e6f920, 0x4278fe02, 0x0550282c, 0xbf08a1dc, 0xee1e7244, 0xe8a7d6a4, 0xd2b56c19,
+    0x5e50dd52, 0x50fc9a98, 0x79fb196d, 0x04650dec, 0xb54bd1b9, 0x15f2d475, 0x0a1b4e57, 0x0b391f93,
+    0x079781b0, 0x76cb0edc, 0x49d1e4a5, 0xb5184fd4, 0x6585d2a2, 0x36776880, 0x27cefe01, 0x7531668b,
+    0xcf70a4ed, 0x505da841, 0x86661a68, 0x2eff4f9f, 0x2a681719, 0xbf887fbf, 0x56a8b381, 0x28446743,
+    0xf1c95452, 0x02032ffc, 0x112c8fef, 0x06bb2290, 0x3ff9a4cb, 0xe38f0e36, 0xa1a347ae, 0xab8994b2,
+    0x237f31cb, 0x52980563, 0x6f9a019d, 0x6f8405fb, 0xde52a764, 0x0e81b5e9, 0xa7a2fca6, 0x5b510340,
+    0x1e000246, 0x0b670d12, 0x78d95ac2, 0x14a487a3, 0x24921139, 0xeebc3997, 0x7d16650e, 0x43bc1e20,
+    0x2c5229f2, 0x357dd2f9, 0x01d41d89, 0xb6a9e86d, 0x17e4f4ee, 0xa9c79756, 0xde9a8235, 0x1ae3605e,
+    0x526d470d, 0x56ebcc29, 0xee61c73e, 0x21178008, 0x17d62da4, 0x39cbe629, 0xb0a4d39e, 0xdf51ce37,
+    0xc4e0274b, 0x7fc4f2aa, 0x55060231, 0x90125470, 0x180f5eb1, 0xf467b920, 0x86876fcd, 0x2fcc5b68,
+    0x0e2d8be1, 0xa6c4303e, 0x65be61c5, 0x065fb9a7, 0x3f5ca953, 0xfb7c8e08, 0x19a6a152, 0xf78e0a5e,
+    0x25efe2b5, 0x0adafaa0, 0xfe8a0232, 0xcbdb4287, 0x9b61af16, 0x74f01205, 0x5072525f, 0x978717bd,
+    0x23805cc8, 0x17a037de, 0x430635aa, 0xc290e83b, 0x56f1e7d3, 0x359f5f21, 0xa0cfe713, 0x2e786175,
+    0xd8db332f, 0x0687ed76, 0xc9ddcbc7, 0xee084a72, 0x5f345467, 0xdb6cecd4, 0xbffdd227, 0x78803712,
+    0xa67efa61, 0x9362a44f, 0xa792d83e, 0x30da0ba8, 0x74fe9672, 0x968172ee, 0xeb040452, 0xec81a5f2,
+    0x00000000,
+    0x9e12f345, 0x00003526, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000017592186044416 */
+  { 0x00000000,
+    0x0931a30e, 0x627ef3e9, 0xa766b5bb, 0xc1cdba40, 0xe85639af, 0xc26a9b18, 0x7e397092, 0xf8ec45e4,
+    0x4bfaf05d, 0x1df8610e, 0x7966b665, 0xf0a730f9, 0x63afd8f5, 0xe4e77bae, 0x4a3828ad, 0x38340f67,
+    0x69dc82af, 0x8e2a1885, 0xcc156e7f, 0xf4b57546, 0xf0ff7181, 0xbb50549a, 0xee8f4bba, 0x6f0744bd,
+    0xbee4272c, 0x63bb4a48, 0x5a72428c, 0x9dc6294a, 0xd042198f, 0x9bb3febd, 0x222283f0, 0xfb172ff4,
+    0x7d83708b, 0xea8b89a4, 0x34c7d34d, 0x623c8391, 0x243a6dca, 0x82b268f7, 0xe6fe3cf8, 0x642fe345,
+    0x1713c11b, 0xc749542d, 0x2ae63e8d, 0xce1f0140, 0x7861515f, 0xe3bfbffd, 0x747e4157, 0x476990cd,
+    0x373b614e, 0xa9b756ae, 0x3b591b83, 0x325fe7f5, 0x3fd0d2cb, 0x1542c83d, 0x8e67fd35, 0xda3389cd,
+    0xdfbb26b7, 0x89cff493, 0xc0238374, 0x8d6a92c4, 0x292d95c0, 0xf0fc1e33, 0xb9776de6, 0x8e774a5b,
+    0x4e78d132, 0xa39d7338, 0xe08a22ed, 0x2be55095, 0x98cd2eca, 0x7a4fd566, 0x00185349, 0x2078db25,
+    0x5265ccf3, 0xe0a0683c, 0xd63b10b0, 0xdae471c9, 0x806d8d4d, 0x7deae664, 0x5b119312, 0xca5a5137,
+    0xfe3f4d0b, 0xb4f90219, 0x0b51fb49, 0x60ced1c4, 0x3212636e, 0x791b74c5, 0xcba62903, 0xfbfb1069,
+    0x2d9eb2ef, 0xef62b520, 0x4dc652e5, 0x1e98a9d7, 0x0adee85f, 0x81a1881c, 0x875fd62c, 0xc7ea2c3b,
+    0x3ff8dc94, 0x285d3c2a, 0x5b3489e9, 0xc3e8b828, 0x909b18a0, 0xab0b2313, 0x744767f3, 0xc3f4690c,
+    0x7b0a43ef, 0x758fbe0e, 0x5f79ae95, 0x51498900, 0x1e9a6174, 0x20489760, 0xd40dd913, 0x5e7f8936,
+    0xc000982a, 0x582386c5, 0x62dd9162, 0x4c23bf3a, 0xe489cf4f, 0xd0fd317a, 0x6a205c3e, 0xcdeca4e1,
+    0x239b9c6f, 0xab1b32cf, 0x2d8a8ddf, 0x52614b35, 0x4a13087a, 0xd01d2e14, 0xe429af29, 0xdb009b8c,
+    0x0f22f8e1, 0x3ccb7968, 0xc62ce0cf, 0x320aa818, 0x8d639a78, 0xd9546c13, 0xee18719c, 0xa8fccb31,
+    0x40097bce, 0x693564bf, 0xc15bc1c0, 0x07529762, 0xb4e4f39e, 0x751cfbb1, 0x8b367a2e, 0xe860b8c7,
+    0x83fbb5e5, 0xff3a54fb, 0x6f6655fc, 0xe4bb20d5, 0x64a30476, 0x3f9f9187, 0xfea20445, 0xb27c74d3,
+    0xa5d85d8e, 0xc31ea7c8, 0x0208a631, 0x0817ca15, 0xae5d8c7f, 0x41e1093f, 0x396eb29a, 0x3d368b3a,
+    0xb3494a93, 0x1596c2af, 0x56c75b14, 0x55af5972, 0xa1a58ca1, 0xa83789e2, 0xd9bf7dfa, 0x375680ab,
+    0xe569d261, 0x3b0edc1e, 0xd14bd188, 0xb5a5bc50, 0xf007623b, 0xa3173f25, 0x00947f2a, 0xa737eeb0,
+    0xfa978553, 0xe51c78a3, 0x06a699ae, 0x8fe8db27, 0x2f553a70, 0xd1540653, 0x4842dc8f, 0x6eb8d9b2,
+    0x9a48b770, 0xfcc7ad00, 0x62457358, 0x447cf6d6, 0x9cd30cb1, 0x8de45e71, 0x9e04ca20, 0x105a21b7,
+    0xb10c0d07, 0x8c302196, 0xbcee1ee0, 0x39b8a606, 0x297da8ed, 0x048557ca, 0x75efd450, 0xe7f56b71,
+    0xcb2960ba, 0x6cbce9f5, 0x377db5cc, 0x9e517791, 0x7317184b, 0xf7f0cb52, 0xc1c3364c, 0x94d4397d,
+    0x759f035b, 0x47efcf9b, 0xe13cd886, 0x80670121, 0xee493f95, 0xc1316330, 0x618a203b, 0x0767b39e,
+    0x037f4cdb, 0x743b4c60, 0xbeea541e, 0xf41b8e60, 0x13f589fa, 0xc0a81f6c, 0xe0a3f4ca, 0xa242d223,
+    0x85f75765, 0x44882407, 0xcffbf505, 0x123e6031, 0xa776867c, 0x7e2b8bcb, 0x045510ec, 0x7167840b,
+    0x3ace43ff, 0x9f76cf22, 0x3a559687, 0xe120b6a5, 0x5b63371d, 0xaef3f1ed, 0x9c3ed2ec, 0x4d781e2d,
+    0x32ba1b82, 0x54a31a84, 0xfa89284e, 0x0684329c, 0xb1f11d42, 0x307c9da5, 0x8db997f5, 0xda9b8272,
+    0x7e436d67, 0x27196d5e, 0xb625e482, 0x71dfdcc6, 0x9693c120, 0xdd45e518, 0xe52a9e18, 0x823e734b,
+    0x1d274aab, 0x94bf37d5, 0x40d4bbdb, 0x807c7508, 0xe9e217b8, 0xc68ace34, 0xa3c5d30d, 0xdede63b9,
+    0x8583c155, 0x674de177, 0x1ca2bc81, 0x24bc24d2, 0xad7ea422, 0xd5619481, 0xbc9544fa, 0xeb52cc74,
+    0xbd6ada54, 0xbcc68293, 0xfb1a0936, 0x94950433, 0xed2fac14, 0x112037e0, 0x51b7c2fe, 0x7ce1f732,
+    0xf9a8536a, 0xf715860e, 0x89e89892, 0x10268baa, 0x6f647622, 0x5fde9da4, 0x8a89f7dd, 0xb9e55408,
+    0x63b05d46, 0x4baa1afc, 0xf8ab581a, 0xe59e3aca, 0x8f31fb5e, 0x9f0b4116, 0x5aaa5f16, 0x288673a9,
+    0x28337a79, 0x39265dc6, 0x58d34483, 0x5c321ae8, 0x6079c8fd, 0x543c690f, 0xf55fbb6d, 0x1b78fc6d,
+    0x6a98d9e4, 0xf290c7c8, 0xcc88c895, 0x0c73546c, 0x50f71ef2, 0x9724e451, 0x3386cbcb, 0xd8292b38,
+    0x9db94235, 0xdda79885, 0xe0222a72, 0xad63b1c5, 0xfa9d67c1, 0xf5cf2a5f, 0xc6fed770, 0x66b10ef2,
+    0x714f161e, 0x7045572c, 0x084c94e5, 0x0353bf44, 0x1c53d1fb, 0xabe9858f, 0x9b572fc0, 0xcd40b733,
+    0xf9c7e069, 0xfa6d8fa8, 0x4a0049ce, 0x62792578, 0xb0f75ff1, 0x5f4c7ec8, 0x768c0292, 0x35f72014,
+    0x00a0c9db, 0x1d967ffe, 0x695b1ef0, 0x2a861ddb, 0xf105f757, 0x67ee52c9, 0x172b344a, 0x2ca608cd,
+    0x4f21d63e, 0xc704e36a, 0xa9b511c4, 0xb09e5932, 0xef029b79, 0x6dc1bc3f, 0x977cfcf1, 0x38725fb8,
+    0x7b030fb8, 0xaf537873, 0x8263e8c5, 0x1030506f, 0xe0bc0519, 0x7fc8ccd1, 0xc9a10bfe, 0x859ee040,
+    0xd2914660, 0xbf5f21b8, 0xc5d8bfee, 0x60b337ba, 0x25bdea64, 0x54a039b5, 0x1232d8a9, 0xc0def94b,
+    0xc7d6e005, 0x0594362b, 0xd63dead9, 0xbe7e6921, 0x224ae614, 0xb0e3ea86, 0xbe6a8539, 0x52c36458,
+    0xedc26442, 0x17b0f21a, 0x0fc03bbd, 0x1a700a78, 0x0a9cf108, 0x540adb36, 0x5759dc5f, 0x0188fdc0,
+    0x58782e68, 0x72b3b071, 0xed9e13aa, 0x113b61ce, 0xa9d2cd95, 0x95c6ae53, 0xbfbf15fc, 0x1aea19e6,
+    0x8e2a7f10, 0x3c453e32, 0x4a810656, 0xe5ce1767, 0x5136e8f3, 0x9088f1e6, 0x081e687a, 0xb6e3de32,
+    0xb0d7ba1e, 0x2c8f3298, 0x2a4703e0, 0xe67687b7, 0x5e405799, 0x449f82b6, 0x695f28d5, 0x7cbc6a4d,
+    0xdebc69d5, 0x452149cb, 0xb429d99a, 0x70cfa6bb, 0x8f2d9c36, 0x8ef17802, 0x028168b1, 0x6a1a48c2,
+    0x226808c1, 0xc82cb43f, 0xba4ec9f0, 0x022a0da6, 0x211ecdee, 0xe9ec9137, 0xf9e24027, 0x237277f5,
+    0xb7f8a62c, 0xcdf6a8c6, 0x6ffdf6b7, 0xbabe1146, 0x04e96b15, 0x850b66c2, 0xc31b1869, 0x2169118d,
+    0xdb80175a, 0xc1e4fc65, 0xd32ffeff, 0x9a6782be, 0xe4de9cc2, 0xcb6301fb, 0x2080bb6a, 0xf582c2f6,
+    0x080c8f0e, 0x8524106e, 0x4750e45e, 0xd94425e3, 0xba5d33f1, 0x2f6c9c56, 0x212343e3, 0x3bf2adaf,
+    0xd26562a1, 0x047d61b8, 0x5d754a4f, 0xb09e517f, 0xee79658e, 0x4d30073a, 0xe2351265, 0xcf100af6,
+    0xfc1a4f00, 0x6af1a521, 0x6852fd09, 0xd3bba204, 0x09a58718, 0x6ae10133, 0x1234f8cc, 0x444d4fbb,
+    0xbd207c5b, 0xdfe50022, 0xe6297d92, 0x228dd140, 0x773e90eb, 0xa0aedc2d, 0x76df9b88, 0x884f5aaf,
+    0xc43306c1, 0x23e38dd6, 0x354ea494, 0xed4f8771, 0x5922ec83, 0x959e297a, 0x6cfa7e9a, 0xe80c6098,
+    0x3166f4b4, 0xbdaea9ff, 0xc6fa6d78, 0x9f20aa1f, 0x8310fa81, 0x7834e4b3, 0xdbcbd0f3, 0x1b475142,
+    0x832022ea, 0x8b3141af, 0xcc82bd37, 0xe2b49986, 0x5e445ff9, 0x23d94540, 0x27fec99e, 0x6933a903,
+    0xfef235e3, 0xc3080780, 0x2f276af5, 0xa3c661d7, 0xfbf04c90, 0x8d87843b, 0xb5f3c87a, 0x2c831d43,
+    0x40cdc307, 0x16adda47, 0x5145715a, 0x13b5e675, 0xe8afd2b8, 0x893f910c, 0x4a681750, 0xa7d7263f,
+    0x07d8cdc3, 0xc5266cc4, 0xb6d71f81, 0xe02e2392, 0x418b88df, 0x9452a275, 0x9b6831da, 0xfacbae95,
+    0x543309d1, 0xc5892de6, 0x0837e93a, 0x9beb0bb6, 0x398e20ca, 0x93b96f9b, 0x68bd72bc, 0x66a0ba68,
+    0x3d1ebaaa, 0x743f5809, 0x67ac4cf9, 0x2730c9d3, 0x514161f9, 0x21ac42d3, 0x622a71c7, 0xce8513a6,
+    0x45238495, 0x07fb5179, 0x239d5860, 0xbf0cfd28, 0x97795eba, 0xdd7966c4, 0x824848b6, 0x534ce729,
+    0x3cb926b9, 0xa9b4237d, 0x63760cae, 0x8cbeb30e, 0xbc9c9491, 0xfc525b89, 0xc00cae61, 0xe1c3241c,
+    0x72c34871, 0x56e67afd, 0x9faa66d8, 0xc7f0e8b3, 0x7fa8f13b, 0xb7b754bd, 0x1942d3c1, 0x07a6f5ae,
+    0xd1ab4e2e, 0x0a3b3bb4, 0xa3d09a1e, 0xb8ee0e91, 0x49ee08e7, 0x4490f367, 0xaee62991, 0x4ee76c8e,
+    0x4237abb6, 0x2f85a387, 0x18622fc3, 0xcd7b0528, 0x68ada95f, 0x2d0efa4e, 0xcf56f2bc, 0x88c0c074,
+    0x2ab6422a, 0x8522913b, 0x86619776, 0x3f50ef3d, 0x5ea86721, 0xbfba45df, 0xe702080f, 0x1028bb72,
+    0x0067c124, 0x0c1d0ac6, 0x2dc7932f, 0xe63b4e71, 0x9167d4e9, 0xcbd989a2, 0x3bce29bd, 0x4c713015,
+    0xb3fbb347, 0x6973157d, 0xc931d32e, 0xdc07218c, 0x6b73c645, 0x6e0e976d, 0xe88acfaf, 0x63a23e07,
+    0x9f2a28b9, 0x13e5e5f1, 0x3cfd9a8d, 0x4f254932, 0xfc2d0761, 0xf8660d2d, 0x63c4e607, 0x40c2fd27,
+    0xb61076c2, 0xd7a5ee0f, 0x3c85b5c3, 0xfb5a7cce, 0x47d2a6cc, 0xc82b3184, 0x4c8218b8, 0x62b4d7b8,
+    0x519bb183, 0x3beee3fb, 0x8222190a, 0x8810ab1f, 0x770f1680, 0xeec955ec, 0x0561ed06, 0x2256c938,
+    0x70e5ca4d, 0x6ac65da6, 0x57f0efc8, 0x09167902, 0xc5474ceb, 0x97ad9435, 0x9a9fc187, 0x9f17e7da,
+    0xaaa3012c, 0xa35e7299, 0x0783d40e, 0x8675ec5a, 0xb8070dda, 0xe9e6c6a2, 0xd2eca08d, 0x4997a619,
+    0xb600f1f7, 0x25c11b34, 0x7062fb2b, 0xc1b3b6fc, 0x86a56f11, 0x65de3e4f, 0x88ecd918, 0x1711feb7,
+    0xc2b2ba58, 0xff157cd8, 0x5daaa45d, 0xcd7960d9, 0x3d708db9, 0x7de0f8e6, 0xec8df708, 0x88fcc4dc,
+    0x8b05d05c, 0xe9c4b73c, 0x311522b3, 0xca1fef21, 0x0cf8b402, 0x6dc63d7b, 0x961b342a, 0xa08f6601,
+    0x8777c061, 0x6a8ee2e9, 0x16bacf66, 0x27eb6d04, 0xbbda8308, 0x82eb991b, 0x7d87d48c, 0x80f1fe15,
+    0x197124a8, 0xbff67caf, 0x21c99c0a, 0x3ba71d42, 0xcf36610d, 0x00b7446a, 0xe823fb04, 0xd9d1cd58,
+    0x41761e56, 0x1db9fa29, 0x16181508, 0x17914644, 0x27f07054, 0xc758af6b, 0x4387fb6a, 0xf8e33468,
+    0xb785a257, 0xa91e9385, 0x17cdd9ab, 0x13fbe8aa, 0xd74d7312, 0xed16086c, 0x6d0aacca, 0x167247d9,
+    0x637e2799, 0x8468f3d5, 0xfb32adb0, 0xc8b86eff, 0x658fb867, 0x3bc02268, 0x004aa41d, 0xdba1c1ff,
+    0xad7ed32e, 0x2111da79, 0x77ac7633, 0xbf6a57d4, 0x6d9a51a7, 0x5ad06afa, 0x56856901, 0x0e685857,
+    0x9870e35d, 0x216d3511, 0xe82e4566, 0x3a18e567, 0x3388a878, 0x96dafbf5, 0xf4bbb0e8, 0x9345d2f8,
+    0x97fa8b28, 0x88636b08, 0x800fbca3, 0xbc2bac42, 0xd4ad2af9, 0x3d50e89e, 0x2db12b3a, 0x16b356b1,
+    0x5ae4ccd0, 0x3a34df69, 0xeeef1c66, 0xcb64ea56, 0x49b415dd, 0x1831a641, 0xb1f11308, 0xa6ae9f6c,
+    0x90c31a2a, 0xcd739aa4, 0xd4d514b2, 0x539f79bd, 0x736506d7, 0xd06f466f, 0xc65805c5, 0x02014f61,
+    0xcfe441ee, 0x8bbff82f, 0x8280cf1b, 0x83bce3c5, 0x947b29c2, 0xaa80a5a9, 0xecbd7a78, 0x8154298d,
+    0x2aba60a9, 0xaeb3f526, 0x6f50390c, 0xc9be2fd0, 0x6b0ea737, 0x88d71578, 0xc73668ba, 0x834691e7,
+    0xb5202068, 0xb0b83b87, 0x9cc281ff, 0x4b8f8bbc, 0x1e409deb, 0x37adeba9, 0x7b51b135, 0x9769f7d9,
+    0x6baf7137, 0x41da16f9, 0x1107b5cb, 0xc1578d01, 0x9fa54778, 0xe1149bb3, 0x0669eec1, 0x76e55417,
+    0x95704821, 0x37da9b91, 0x5f3026ab, 0x9cb2500c, 0x3fdeada7, 0xebd1b360, 0x2d307e46, 0xab3517eb,
+    0x0db952d9, 0x7737b6e5, 0xba79058a, 0x4ada6dc7, 0xb1334e71, 0xa5827480, 0x1a8c3cf3, 0x184851d1,
+    0xd3b960fe, 0x38bc4630, 0x2f2e011c, 0x19a49e3c, 0x0708b164, 0x70be1173, 0x62c0e8fa, 0x228c933e,
+    0x7d5896de, 0x96a98aed, 0x2d2f4bfd, 0x92833a60, 0x186a3d3e, 0xd0f27a4d, 0xe79e957b, 0x2b177f29,
+    0x93355e9b, 0x6caee5da, 0xdfd08a5c, 0xd124d744, 0x7394b5b1, 0x2cfd5799, 0x2284521c, 0x2edd8bcb,
+    0x26843332, 0xc6816c36, 0x2d991f3c, 0xe5fb61b5, 0x6b23972e, 0x65f8f5fa, 0x15f3a6c6, 0x954ca8f5,
+    0x01f235bc, 0xbac7ef59, 0x3dc6e1c2, 0xfa3f8bec, 0xaebc7fcb, 0xdea8361e, 0xe3a75c99, 0x0efb2602,
+    0x3ca3d9f5, 0xdf6bd3a2, 0x8bbed518, 0x2cf4df54, 0x3893b27e, 0x39c36316, 0x23e60ee9, 0xfc0cfd40,
+    0x178642f0, 0xfa6bf297, 0x389a5b2c, 0x09fa0158, 0x101c4704, 0xa6e3e259, 0xa31bd6da, 0x497ac346,
+    0xa214a738, 0x572cd429, 0xbede78e4, 0xa08851d0, 0xcee3e221, 0x91ca6050, 0xc64ed486, 0xad67d391,
+    0xe06c881e, 0x720ba1a6, 0x1f9af2f5, 0x63ce773a, 0x1388991b, 0x8e4ff16d, 0x7617b684, 0x358bb556,
+    0x1dbbfbae, 0x76fa4f0c, 0xf91db4de, 0x9ff455ee, 0x91eaa09f, 0xa7f309ed, 0xeeecf38c, 0xb4490889,
+    0x4dbccff2, 0xadce551a, 0xdc173538, 0x0056ab45, 0x21013918, 0xadddd9ac, 0xb2337b97, 0x98143601,
+    0xd8f2752a, 0x944067fe, 0x677847be, 0x6056ae9e, 0xfea13d6c, 0x4847a099, 0xc057cc8a, 0xfe8e8d2f,
+    0x7014e4fa, 0x1546e8ee, 0x00fc5973, 0xdeacb103, 0xb27ddbff, 0xdee3abfa, 0xea52a52b, 0xaca3b40b,
+    0xde0e07d9, 0xa40ba976, 0xe1a9120d, 0xd94b8d9e, 0xc2e7acc8, 0x88ecef97, 0x8ef81947, 0x7a95538c,
+    0x1d55ccc4, 0xcb553c5b, 0x637560b1, 0x25f53db5, 0x347a4076, 0x9760cb98, 0x0ca5ed76, 0xb9c066d4,
+    0xf5615849, 0xd2648aaf, 0x87382031, 0xc2f8a8ae, 0x90bfca4b, 0x5dd11ed0, 0x2b481a52, 0xc4e8f3cc,
+    0x41d47d76, 0xc07a135d, 0xb3f4a202, 0x6b69258f, 0xdc79fb49, 0x5e08acc7, 0xcc6fe6ac, 0x090b2634,
+    0xa5399e74, 0xdd741f7c, 0xbc8a6e31, 0x014ea776, 0x6b4e5783, 0xf0b8f37e, 0xc5a3132a, 0xf590c8c8,
+    0xaafc8f8c, 0x851126f5, 0x2db3e299, 0x72787874, 0xf6ad8046, 0x6e92ddb9, 0x7603a938, 0x2d675a15,
+    0xc865c6d3, 0xec1b56ac, 0xa2249c50, 0x75326842, 0x5e4f13c2, 0x37155a43, 0x9a595043, 0x5813ad95,
+    0xf3855454, 0x4db3b9b0, 0xe6d5889e, 0x261d2dc8, 0x3a2319a1, 0xbebb4b92, 0x1f95b16b, 0x3371e8aa,
+    0x7ee5ce75, 0x83e0153e, 0x5ba52591, 0x2f48da5c, 0xf8144509, 0x0d027887, 0xc33a908f, 0x6923a92c,
+    0xfce0f158, 0x31d70b2b, 0xc3256fe8, 0x090d4042, 0x536c909d, 0x37461500, 0x77132d30, 0x0a5db094,
+    0xb8c1ad56, 0x26d2df6f, 0x51ea9c98, 0x486de893, 0x04d2ca3e, 0x54c17214, 0xc35db282, 0x875626ba,
+    0x1c5196f0, 0xd2bd2a62, 0x6b529730, 0xa90a1721, 0x4f0041b3, 0x1d63bcf5, 0x733728a5, 0x831bced0,
+    0xfb689937, 0xaf6d8966, 0x4062d9f9, 0x535ece39, 0x47afb982, 0x28a106b9, 0xb1c6878f, 0x0704d770,
+    0xe7ef8307, 0x3c473bac, 0xb242008a, 0x6afae4bd, 0x7c3fe015, 0xbf2f22d1, 0x84832526, 0xadfda9e5,
+    0x00000000,
+    0x4f0979a2, 0x00001a93, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000008796093022208 */
+  { 0x00000000,
+    0x83ee0b43, 0x710b5946, 0xfcd7bb02, 0x9ccadaac, 0x17e55670, 0xbaceaa74, 0x4573adac, 0x7c5b515d,
+    0x15d38d3d, 0xe6f7a767, 0x2d0bdb5f, 0xb621e14d, 0xd937e5ca, 0x57d9153b, 0xc1e02dfb, 0x4f56c71a,
+    0x3bd590f0, 0x1d9de3bf, 0x38c9c49e, 0xc6519474, 0xb829c702, 0xf5f91864, 0xcca0bd5b, 0xcc4085aa,
+    0xb23cdedd, 0x6155664f, 0x913a86f6, 0x6bb337c6, 0x2738b01c, 0xcc3cbc87, 0x43290d82, 0xa0e25f64,
+    0xac8fa275, 0x4f3e2b93, 0x76cf12b3, 0xc756b8ca, 0xb6102d8b, 0xc31517ba, 0xf80fbf44, 0xa5ec57d3,
+    0x719bd4dc, 0xec6a2908, 0x3cc8add9, 0xed11ab2c, 0x0e88a918, 0x432565f4, 0x5ce51d3c, 0xb60cfcfc,
+    0x9d23d709, 0xe4ebeafd, 0x9a8abbf7, 0x0e39ea0f, 0x0fc99b1d, 0xfebe8ede, 0x208b7aed, 0x98c8784d,
+    0x7d21768b, 0x2f5cc87a, 0xfee725e4, 0xf9bf9de8, 0xe4ec48ad, 0x1d50821b, 0x6a577b04, 0x70b6e761,
+    0xc0319427, 0xaba21e97, 0x34fa75c1, 0x608bc392, 0xfd8f1559, 0x257f5f11, 0x82b6b893, 0xd1e81c3e,
+    0x70f745a6, 0xb021da4b, 0x92123471, 0xe7ef51cd, 0x232803e6, 0xf2ab5dfc, 0xbdadfb66, 0xbc43da48,
+    0x1c0c4877, 0xc288427a, 0x40bba2da, 0x2125c0c7, 0xcd2c7599, 0x65cca046, 0xc4660c7d, 0x0df91162,
+    0xf14213a4, 0x8b4eb15c, 0x18d951b9, 0xc05b5deb, 0xbbcf2abb, 0xfaf83f5b, 0x4a75ffcd, 0xb1d3e716,
+    0xa129918a, 0x094d9748, 0x094b28b8, 0x1ab00bc5, 0xf46a1044, 0xce887b0a, 0x5072d2c1, 0x3737d4e2,
+    0x5857bc88, 0x78116fd8, 0xc56d3783, 0x90e50699, 0x6f119d47, 0x487c05ce, 0x9a62eb82, 0xfc4ee876,
+    0x86f6b0d0, 0x16c1abb8, 0xf88d3787, 0x94994452, 0x70081186, 0x8fadfbf4, 0x1a47881a, 0x4ccc2d9c,
+    0x0a29effc, 0x31a4a364, 0xfb8274ab, 0x6fa90d91, 0x601dd04c, 0x24463cb6, 0xec61e869, 0x36ad7aaf,
+    0x38a57519, 0xb7299494, 0x4a907037, 0x0fc1b68e, 0x4a669740, 0xbce30692, 0xc245d7b5, 0x4cca0b4e,
+    0x351f5f72, 0x93f16b9e, 0xab2bd397, 0x57195dd4, 0xad5d44fe, 0x12fd7e49, 0xec6092b7, 0x5e9787f6,
+    0x2ce43767, 0xc86474b7, 0x4468faae, 0xc73311a7, 0x151fcc37, 0x0fa361c5, 0xf1e1ade2, 0x8da8cf53,
+    0x74cfd967, 0x4e98c560, 0x19f11e99, 0x8c795a04, 0x732d007b, 0x9f4c60aa, 0x812bdc73, 0x72a5ed54,
+    0xc8c1f2fa, 0xdc64f00c, 0x20904e1c, 0x693734c9, 0x59356028, 0x64a7fd7f, 0x124976cb, 0xf6501249,
+    0xbf5a258d, 0x538d4b65, 0x75d27a6b, 0x7da3a062, 0xc8b79660, 0xdd56dab0, 0x7d2f7fe0, 0xe41564b6,
+    0x1408772a, 0xac2a1ba2, 0xe123cced, 0x55c25fb4, 0x9325adb4, 0xb93c0ad6, 0xf5daa822, 0xedbdd3a5,
+    0xd065657a, 0x04f8ad8a, 0x2ff61ba3, 0xc2d63727, 0x87a4434d, 0xa40297d3, 0x30cbccba, 0xd9ead681,
+    0xad73ad3d, 0x51b2c100, 0xcd22e82b, 0xddf7044b, 0xea427ca8, 0xdf080583, 0xe0ffabbf, 0x6aeddf2b,
+    0x34ef5f2f, 0x278593b8, 0xe54dc0c3, 0x8b2a0b4f, 0x5bdefbee, 0xc1b2e082, 0xef81f089, 0xd16d23cb,
+    0xfa7f9766, 0x1bda7b0a, 0xe1211f22, 0x0fd448e8, 0x9b7d147b, 0x8800599b, 0x83383466, 0x4f9efe28,
+    0x55d6d768, 0xb05c3096, 0x628986d3, 0x5c7c006e, 0xae0619b9, 0xd65a56e1, 0x7d576474, 0xabadeaf1,
+    0x9bdc1c56, 0x5c287057, 0x6ae5484a, 0x80cf4a2d, 0x42e90233, 0xbd83292b, 0xbb1e9a52, 0x31c7dca6,
+    0x2d3246e9, 0xbb6dac8c, 0xeb7d6aa5, 0x51a930be, 0xd9f62827, 0x23588fb2, 0xd3c2292c, 0x6b3173be,
+    0x9040cc86, 0xb5a031ff, 0x576be86d, 0x8612c3aa, 0x8e913654, 0x3840f573, 0xa6a795ca, 0x59584e88,
+    0x5d582cd5, 0x2177c915, 0x492219e1, 0x69eb7766, 0x5b345a6d, 0x21fe8075, 0x4785c9fd, 0x14d986c0,
+    0xffcce9ac, 0x73878f66, 0x669cf743, 0xc2c7959d, 0x7a81d1bb, 0xf8416018, 0x4b351092, 0x6c62fa37,
+    0x07031648, 0x45fdcdd0, 0xff838612, 0xb883e930, 0xfc7ba7be, 0x9ea91182, 0x8d613fb8, 0xe0f74f67,
+    0x7db90d93, 0xe27e4d21, 0x4ddece6d, 0x3a12dc96, 0xa4c07a35, 0xbdc68566, 0x6c10d8f6, 0xaab07ad8,
+    0xdfe51c2d, 0x7cbc1e42, 0x0a77d808, 0x9e89c0b2, 0x53bdf985, 0x9b9f5b60, 0x6d55db87, 0x5191fb76,
+    0x3b9238c9, 0x45ee5a04, 0x85bb6dcc, 0xa6612bf6, 0x053f81e7, 0x8cca163c, 0xfdce8283, 0x86e89897,
+    0x0fa33b34, 0x2f59b16a, 0xa6833732, 0x51a64100, 0xb11caa33, 0x6aa148f2, 0x60a1732b, 0xa4b17c33,
+    0x19471451, 0xddb4d08c, 0x0747ab22, 0x1a8decba, 0x6a838bf7, 0x55875908, 0x776cd978, 0xa2a59c28,
+    0x2af89b6d, 0x007dfc93, 0x63291f07, 0x6b0bae16, 0x6b7e4d23, 0xdeaa73cb, 0x5c16ba6a, 0x7f704d27,
+    0x03e7be63, 0xf157ff91, 0x30ebb701, 0xab629686, 0x4ac0b4d1, 0x6ba96829, 0x1839e41f, 0x0740fd47,
+    0x13cdc017, 0xc8665f73, 0x6570324d, 0x56c51ad9, 0x508b5a4a, 0xf06bc7c5, 0xa36a109e, 0xa1c2c3e7,
+    0xc05a3f24, 0xe418026d, 0xfb56168f, 0x66199c3c, 0x70bfac51, 0xd87b7726, 0x5f738d61, 0xc7b3f081,
+    0x419e19c8, 0x6e7779f9, 0x4244393a, 0xf8cda088, 0x75607e20, 0xa3afaab4, 0xfe0c8347, 0xdd88e3ab,
+    0x26850c08, 0xf4db050a, 0x1f5ee6bd, 0x02312a0f, 0x7f5d1e73, 0xcd177e08, 0x73a7d85e, 0x188b9358,
+    0x9e853a06, 0xf93872b2, 0x613ad112, 0x8a964386, 0x93c72485, 0x264f0583, 0xe1cdf173, 0x26155075,
+    0x3ebfaa7b, 0xd8a7f8fd, 0x56a33692, 0x4b822359, 0xdaa97aac, 0xaf458bbc, 0xc046f708, 0x62d029bb,
+    0xdcdb6e80, 0x025a07bf, 0x4ae84415, 0xbf0800ff, 0x0ebb9ed3, 0xe9dc7264, 0xb075f12c, 0x1831061f,
+    0xaa5e45be, 0xe3212c27, 0x37cf2510, 0x180d2067, 0x4eddc8a2, 0xaceecbca, 0x91820315, 0x2e532fa7,
+    0x379746be, 0x966562b0, 0x031bb0f1, 0x42f0c58c, 0xa3c7c6d3, 0xac8a9061, 0x5cb9304b, 0xcc7c2daf,
+    0xdfacd078, 0x4a3e013a, 0x6fe417a9, 0x84c47d8f, 0xc38e3147, 0x8b4d8488, 0x8a2d3b6b, 0x13e34dde,
+    0x408dc281, 0x194a3616, 0xdea85767, 0x84ad49da, 0xc05ab313, 0xb8bfaad7, 0x3b4a5f73, 0xda79ed98,
+    0x2cc903d8, 0x8e36ed15, 0xa2789c1f, 0xde8250ee, 0xe3f90ee4, 0x976d2ca3, 0xbd979912, 0xda682dcc,
+    0xe9e6f04a, 0x83f41d3d, 0xdbca37be, 0x4d3be3e8, 0x160de95d, 0xbae24c03, 0x81e05809, 0x47d0896f,
+    0x0cf2946b, 0x230c84be, 0x166ad9d7, 0xa56b0a3f, 0x06be1462, 0x287f7f5b, 0x446594bf, 0xf1483aae,
+    0x47bc5621, 0x846d05ce, 0x194ce197, 0xc36230a1, 0xe30fec35, 0x3977ea9c, 0x20b9d7a2, 0x21c9127a,
+    0xaeab3b5a, 0x6c185aff, 0xe62d5694, 0x30d3b39c, 0xcfecf1ae, 0x48cd0eb7, 0xb0327071, 0x910a54a8,
+    0x9b05dea8, 0xdb72916d, 0xb2e4e95e, 0x005f1b20, 0x77c48274, 0x4e19f054, 0x3f57c756, 0xb451c997,
+    0xaf07d60c, 0x1341656a, 0x797f80d3, 0x9c2421eb, 0x2a6d9df3, 0xc6e16b65, 0x3812e5e3, 0x025d7486,
+    0x8a73df8d, 0xa4691a7d, 0x5189c7a1, 0x145f851e, 0x775b4d70, 0x387d6b7f, 0x45aeaf05, 0xc540a7c0,
+    0xec7c7536, 0x4e544235, 0x3542b563, 0x278d3aef, 0x31f6c867, 0x1079a670, 0x78bb81d3, 0x3a0e0569,
+    0x53a1107e, 0xa5b237bc, 0xb5679e55, 0x05793ba5, 0x4432bc43, 0xd924bad8, 0xda3d3827, 0xb893a663,
+    0xdbcf91c7, 0xdefe96f2, 0x1bce8713, 0x3f44ac64, 0xf00d8b50, 0x98557830, 0xb1d157c6, 0xda773466,
+    0x93ff6acd, 0xd2f2e06e, 0xa49ffd34, 0x41206cdc, 0x8c03527a, 0xd0f496ab, 0x3a1dd6db, 0x10b300ca,
+    0x2883f76f, 0x91cce0d1, 0x5f3eeeae, 0x65c2770d, 0x4cacd05c, 0xb27f963c, 0x4222e74d, 0xb2c9ffed,
+    0xd4aaf4f5, 0x391cb858, 0x25c23c36, 0xfcacbe8c, 0x8fd42956, 0x8a7dd4a7, 0x221a530b, 0xad782392,
+    0xabb6e7f4, 0x68d68fda, 0x18664917, 0x9fbeac6d, 0x9308731b, 0xf4d5ba8f, 0x0281d5f6, 0x3d7b413b,
+    0x4f04a134, 0x81d31ab4, 0x4fd0d182, 0x07d436bc, 0xe5344138, 0xf2be8937, 0x755fbe49, 0x22fe1800,
+    0x73463313, 0x82b71166, 0xa1df3ff2, 0xa590f2a6, 0xa2c6c922, 0xc9d13d87, 0x361eebec, 0xd7d9cf68,
+    0x671645fd, 0xb733e144, 0x9c428787, 0x50033fa2, 0xefc6811e, 0x794dcbd3, 0xfccbe75b, 0x87baf7c3,
+    0x324e3350, 0x81def6a6, 0xb8a9ad31, 0xd267aa02, 0xa54a7dbd, 0xabfdb0ff, 0xd7905242, 0x678d39bf,
+    0x6c5b5736, 0x55c80fde, 0x1d4c03da, 0xe174b5cb, 0x4ccbf264, 0xd8e9a7d5, 0x66dec565, 0x1b4dc02c,
+    0xd1904ae7, 0x59136eff, 0x7a3ebd45, 0xe834dc45, 0xabd93cfa, 0xc4f6f7ee, 0x44645212, 0xd4dab535,
+    0x97e7f2d9, 0x899d8609, 0xa9c63556, 0x58a03bfa, 0xee49e9e0, 0xea0c5a86, 0x0d33bec6, 0x8c164559,
+    0x29e8e51f, 0xeb4b85a0, 0x00088bdf, 0xc922b48b, 0x4d409b19, 0xec8d69bc, 0xb96bef92, 0x8c627b92,
+    0x983531eb, 0x5ed9728e, 0x865d1abf, 0x487c8830, 0xfb481f39, 0xd211ca55, 0x097a24a4, 0xdfb02de9,
+    0xafe6eeeb, 0x7da72850, 0x63a4b7e2, 0xdac32366, 0xd328fb75, 0x17ee1d49, 0x3d23f5b9, 0x8903daed,
+    0x66229b1e, 0x3601529c, 0xeef7c693, 0x834ead6e, 0xff03762e, 0xcfae7f4c, 0xa68eab11, 0x30d100cb,
+    0x4e196acc, 0x5dce0f92, 0x87341bee, 0xad0dbde4, 0x95a70a8a, 0xfadd3774, 0x762c23a0, 0x956dbbb1,
+    0x7bb2fe4f, 0x75070295, 0xf1d5afae, 0x1f0b0fad, 0xbabc9e15, 0xf84ce8e4, 0x3ff5c764, 0xfd294768,
+    0x7823d296, 0xffef642b, 0x0aee4c63, 0x1bf41eeb, 0xc7f0985c, 0x6af9bc1d, 0xdb38cf04, 0x8942ab2a,
+    0x520984c2, 0x46207372, 0x2ab0d5a2, 0x19138f33, 0x935adb38, 0xcc2e1b83, 0x80fc7dec, 0x700d9af3,
+    0x52090402, 0x500d5bb6, 0x37d3d5e0, 0x0a5d47eb, 0x090bb168, 0x8799bea9, 0x83672e56, 0x973fc0c0,
+    0x098a46f5, 0x594ba210, 0xb54f964b, 0x776feb8e, 0x2b836a95, 0xb868e139, 0xb49d9b5c, 0x06fffadd,
+    0x1c0585bf, 0xf5434c1d, 0xcd3bdcc1, 0x65a366a6, 0x140edc62, 0xe49e4c9b, 0xf334cd2a, 0x4651ba08,
+    0x4a605d60, 0x4c21ba15, 0xe5efc33d, 0xb13e7ce9, 0x490dbee8, 0x4231bf68, 0x1d9326bd, 0xf0cec62f,
+    0x4243c8e0, 0x2121cff2, 0xffc8433b, 0x11d2fa6a, 0x141b0b7b, 0x1c79b113, 0x7200d0e3, 0x831ded01,
+    0x282b40c1, 0x441938b6, 0x0923cd15, 0xd59267bd, 0x6189c279, 0x64962aeb, 0x2e5c3cac, 0x448f31f2,
+    0x6af9fbf4, 0xce28a184, 0x4880ffa8, 0xfdcb16c9, 0x426182e1, 0x19f62e1a, 0x1254a376, 0xac7c786c,
+    0xf3d64a5a, 0xcc26106a, 0x9172689c, 0x73d2efbf, 0xc27d0328, 0x33e044c6, 0xe66e3e3c, 0x29b0879e,
+    0x8dc1af20, 0xd3842cf9, 0x8478eedf, 0x2e8e89af, 0x5b82a780, 0xaf4a6625, 0x6aa5c9c7, 0x05626cd6,
+    0x39c58407, 0xdb357ebe, 0x47e0442c, 0xf12f989e, 0x042883b3, 0x20e3c27d, 0x6c28b2aa, 0x5be4fe77,
+    0x1f3be25f, 0xdcbee429, 0x1a01b251, 0x78761f5a, 0x84f5cea1, 0x22c6bb5d, 0xab7c7342, 0x880852ba,
+    0x0808e11f, 0xe9b2cfa7, 0x113a83cc, 0x7d454454, 0xadee37ca, 0x7ec937e9, 0x3113c01e, 0x0eaa8bcf,
+    0xce51eef7, 0xbc944e27, 0x501628f8, 0x303de600, 0x0bef08ad, 0x122f154d, 0xc0e4dfcc, 0xea8c20f0,
+    0xb66a474a, 0xf41975e9, 0x15767c17, 0x9ab0ceb3, 0xaa07278a, 0xa2131b32, 0x2b6d6079, 0x3d6ac303,
+    0x736f89da, 0x4dc10e0b, 0x4f606508, 0xece1fe4a, 0x343f8087, 0x99d82cfe, 0x6450d50f, 0xbadce88d,
+    0xa6fca709, 0x417609f9, 0xa725d02a, 0x03503cb5, 0x0fed8a47, 0x01ddb939, 0x61faf5d8, 0x25d903f4,
+    0xb7c01897, 0xdab97488, 0xa652d521, 0xe685d35c, 0xe5ec1466, 0x19e9cf64, 0xd8714b3c, 0xa10fb0f1,
+    0xb3f06a10, 0x5f7ac476, 0xb86e8871, 0x34191ec4, 0xbf1eb6b7, 0xcd134a4f, 0x2e61a6ed, 0x7a7e06bc,
+    0xb361c824, 0x8df6d44c, 0x27f6006c, 0xb80ed429, 0xa2204773, 0xd73b7d59, 0xe6ed6e58, 0x7cea86e8,
+    0x7de009d1, 0x696e2901, 0xe193db27, 0x8fc42df8, 0xa8fda618, 0xc219b28f, 0xe0ec2963, 0x22db69c6,
+    0xfa5af76d, 0x47c422e7, 0x6f8791a4, 0xc66d9525, 0xcc3afdab, 0x6a5ab718, 0x87161412, 0xf24e6454,
+    0xccf61769, 0x94d80683, 0x641f68f9, 0xe925d991, 0xf52cfad5, 0xd76025ad, 0xad2decfe, 0x5904987b,
+    0x70f9fe3b, 0x2d8e714e, 0x5fdcc34d, 0x36906d08, 0x999c6bf9, 0x95d71d9b, 0x0ab53548, 0x040beb6c,
+    0xb478396e, 0x1b3623d0, 0xf3f1c24d, 0x40b98f21, 0xec4e9ba6, 0xc0106320, 0x2cd76715, 0x9985409f,
+    0x96e24ad4, 0xb7b6ebb4, 0x6fd9bcc0, 0xd2e6d612, 0x515e1c6b, 0x038f684c, 0x284c4c9e, 0xa1833eb9,
+    0x7096454c, 0x909b992b, 0xdee8be87, 0xe2230c68, 0x9078e5e3, 0x5eb33152, 0x26ce463e, 0x953be052,
+    0xb58c6314, 0xe6dafc80, 0x789d6af1, 0xfb55404d, 0x9aa930e9, 0x4c1ec783, 0x4eed0d01, 0x23bf85ef,
+    0x645f16a7, 0xaa5124ce, 0xe1e3167f, 0xe9586fae, 0x8b10e83d, 0xbc6002d7, 0x922b2d50, 0xeb8a5a8c,
+    0x879d0173, 0xf9976731, 0xf21af95b, 0x264646f0, 0x2e44fb8a, 0x99b01f31, 0x7ff5ce98, 0x7bbdfea0,
+    0xbabc8144, 0x1fabca2d, 0x52913f3c, 0x7ddf7f2b, 0x5609ffa5, 0xfc481811, 0x630b7b83, 0xab5d11e3,
+    0xbc26b1c3, 0xefaa9c7c, 0xc353edca, 0x4a383299, 0x8cac8e3a, 0x436208f6, 0x14f7c6ae, 0x7e1ab769,
+    0x8bad9684, 0xa711210c, 0x45fabf36, 0xd0acd9a4, 0xb6639f29, 0xbf4bd895, 0xab5f6ce9, 0x826e3721,
+    0xcd1e0322, 0x66811cac, 0x326ec59d, 0x08d79380, 0x8a7e734a, 0xaf626f9b, 0xa3607f93, 0x2699e3da,
+    0x55f604cc, 0x989927a4, 0x31613365, 0x4633b5b0, 0x27b8672f, 0xb940b2d4, 0x933d2872, 0xc8aedc30,
+    0xf7ee8a42, 0x0871837a, 0x395a59af, 0x261dec79, 0x220b3c1b, 0x95f9f3f5, 0x14deb8c7, 0x638bf45c,
+    0xc1dace93, 0xff27f101, 0xbae9d43c, 0x066f7305, 0x64d84e13, 0xb364679b, 0x3edbd7fa, 0x09856c46,
+    0x46af1dd4, 0x3216315d, 0x11cb2c4d, 0x2fa5bd02, 0x5bb7d20b, 0x48acdd70, 0x0d97e7a5, 0xbdbec673,
+    0x0aec823a, 0xde3d3c69, 0x8fdaafc3, 0x6431be00, 0x851fc797, 0x82586e17, 0x35970dd3, 0x302d93cd,
+    0xeb9b92e1, 0x4f8dc876, 0x2d7b8ea0, 0x21854d36, 0x0027ef66, 0x85abced8, 0x1388d56e, 0xfd570ee7,
+    0x4be0a300, 0x96ada3c8, 0x64715a19, 0x9af23117, 0x192a4e2c, 0x5ffb9989, 0xd21f5ee5, 0xee067f83,
+    0xfd93f86d, 0x6af2cf87, 0x8f3d0a9e, 0xd6939bda, 0xcabd69d0, 0xffe4c126, 0x05984342, 0xf62208de,
+    0x24e767ae, 0xebf2ca5d, 0x1780afca, 0xe4db4219, 0xf70c6fd4, 0x5d50153d, 0x5ccb66ae, 0xe1bc5e92,
+    0xcac96bc2, 0xbc56d25d, 0xc2ebc2e2, 0x4c735503, 0xa96fcecd, 0xe96f99a2, 0xab0247ea, 0x5523b51d,
+    0x77909c1d, 0x7c9b69d4, 0x347ae738, 0x14ccd52f, 0x582ac789, 0x5fae5953, 0x1ce136c9, 0xd30c88aa,
+    0x00000000,
+    0xa784bcd0, 0x00000d49, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000004398046511104 */
+  { 0x00000000,
+    0x3f8a15a7, 0x9252e413, 0x0bbdba23, 0x1d6f6cc8, 0x8c87cac9, 0x5f83100f, 0xa59f735a, 0xcfbf3e81,
+    0xb7216bc2, 0x0feca84a, 0x47f39df7, 0x54c75ce0, 0xe42a06f1, 0x93548ff8, 0x8ca32f5f, 0xe3829aa2,
+    0xe336d9ba, 0xd930fa3d, 0x3a893b01, 0x55c4a5cf, 0xa89049c8, 0xe4d33348, 0x725e4b0b, 0xae52fa5b,
+    0xe182252b, 0x6c2dc139, 0xd05359cd, 0x7d5f05c6, 0xf4ddd05e, 0x6d2849d9, 0xa8f8188d, 0x3605ec6f,
+    0x0aebc795, 0x0d3decfb, 0x84f632a3, 0xe03731b7, 0x2edf4774, 0x60b77440, 0x7aa584c1, 0x6c28af7e,
+    0xa53dc4b8, 0x9ea2b1c7, 0x3c37d2d5, 0x561e1fc4, 0xfc458f3f, 0x0ca99187, 0x681b1755, 0x8d30a3eb,
+    0x3cd938a4, 0x8b389a89, 0x4f05dc01, 0x15fc7a20, 0x6a21eed4, 0x8655a950, 0x96abcc60, 0xdbb0ad19,
+    0x14182502, 0x8032998f, 0xced38431, 0x9d0b91d3, 0x86c00883, 0xfb73073b, 0xb3ecae67, 0x5c5f4366,
+    0x49e3ae1d, 0xfaf39a83, 0xca3ad9bc, 0xb0def9d1, 0x22c7ebb4, 0x2cf15ffe, 0x2fb8c2e8, 0xf46cece1,
+    0x1f26d835, 0xd1bddfb0, 0x43c80aba, 0x55d1d218, 0xe6bca115, 0x040a9065, 0x72b52837, 0x6e1d215f,
+    0xf965783e, 0xe66fd9db, 0x7de61859, 0x41f358ed, 0x964c32c4, 0xe86e7889, 0xbbaad23d, 0xf8576254,
+    0xef9a228a, 0x02be47c5, 0x320d1bac, 0xf0501a02, 0xad6a852e, 0xc92d3e02, 0x25f6f663, 0xbaf46462,
+    0x4d23b978, 0x627ac998, 0xda948c0c, 0x1fe2f786, 0x0f6e0ca4, 0x71492c62, 0xbc47ab91, 0x3bb5a1d8,
+    0x5b794a89, 0xe6147c20, 0xd679be65, 0xf82239fb, 0xd6989214, 0xaef65297, 0x246f70e8, 0xf0550012,
+    0x8ad5c980, 0x962bb561, 0xc69ad660, 0x4dac7546, 0xf94cf105, 0x863356d7, 0x95300f2d, 0x843aa690,
+    0xbf543bfd, 0x4259bb6d, 0x4ead6375, 0xf22157a4, 0xf94a4cb3, 0x9d602bc7, 0x7fc0fac4, 0xe114c842,
+    0x0db2cef3, 0xa691e5ca, 0x72efc501, 0xc06ca5d4, 0xc2bbcba8, 0x656f2699, 0x9875a221, 0x2798f67e,
+    0x85091c9b, 0x03085bc8, 0x7c29f721, 0xf54a05e0, 0x6bfe0bfa, 0xf2d38282, 0xa363dedd, 0x262eda9b,
+    0x683b4f82, 0x8e84734b, 0x75c8b906, 0x71f38396, 0x685f8e64, 0xad4092a9, 0x087d0fb3, 0x7bdde68f,
+    0x85e6d542, 0x259878be, 0x01efe7fc, 0xdda38c3f, 0x78a77e33, 0x107aa36b, 0xd1a7f802, 0x0cdaedf3,
+    0xc759bf98, 0x71d8e705, 0xd2c03fe4, 0x0cfeab6d, 0x0da3def7, 0x91227b39, 0xdfee42ab, 0x0a9a1475,
+    0xd582850c, 0x8882532e, 0xd6cd0a8a, 0x31343b15, 0x0a433f45, 0xbeaa2869, 0xb6330b29, 0x1633004b,
+    0x1f5f5571, 0x3eccdbc5, 0x227bd63f, 0x412bcc59, 0xdd6cba3b, 0x93110443, 0x9a49d6f0, 0xed795d5c,
+    0xae107e0a, 0xd4cef373, 0xaf7920ed, 0x9caaad23, 0xa5e0668d, 0x21375142, 0xc1ebd94f, 0xc4265ca5,
+    0xfe51abf9, 0xb7c90c37, 0x940ef5da, 0xcaa85fe7, 0x4c9bb3b7, 0x803f69eb, 0x6bc72fbb, 0x223379fd,
+    0x73e3a40a, 0x0778af91, 0xe7181c6e, 0x89c879be, 0x139ba1ad, 0x2d20abee, 0x95fe475c, 0x0c13a3ba,
+    0x32c315fe, 0x49b6a9eb, 0xe42efb91, 0x857448c2, 0x541b26a9, 0xfb3029aa, 0x3b2e0160, 0xe306beea,
+    0x33ba2d4b, 0x142ae484, 0xfe82ae90, 0x11b66ad4, 0xd0d7de32, 0x1fcf7377, 0x39612a80, 0xc52410c7,
+    0x6f62bc0d, 0x926b865b, 0x00566523, 0x3492b29c, 0x5f9d9079, 0x47fcf50a, 0xb5e59c55, 0x8969fd8f,
+    0xfb30f019, 0x4609311e, 0xf6e1ef49, 0xdc430ade, 0x1cbcc839, 0x745f369c, 0x21a20b32, 0xe1bff12c,
+    0x2145a566, 0x681c50d4, 0xf338410b, 0x93ba1723, 0xcbecb095, 0x2fe9b8af, 0x73fb8ad8, 0xbaee695a,
+    0x9644cffe, 0xff22978d, 0xf4c4d344, 0x5d5a1b6a, 0x20aea9d6, 0xdc51be0b, 0x784a0bb4, 0xb67d3fd9,
+    0x627afb91, 0xd2747d33, 0x5c03343b, 0x55f84ab1, 0xd727ce6d, 0x3def8549, 0x9efe95c0, 0xec2faade,
+    0x17b8db43, 0x18fee445, 0x28e17d4d, 0x3185e572, 0x125d9a30, 0x2287b820, 0xbe32d2b0, 0x20d2e46a,
+    0xa8039b33, 0xb668f360, 0x85754606, 0x389e005d, 0xc52df37e, 0x2eef0ae3, 0xbf42c87c, 0x5d403c00,
+    0xc5d505b0, 0x1fd0e982, 0x3c1dedca, 0x3e9e26a0, 0x74963b75, 0xa38d73fd, 0xb4965642, 0x2b19b86b,
+    0xda02f68d, 0x99dfd7d1, 0x25f6d867, 0x158636b8, 0xee404177, 0xff6311b0, 0x48067cba, 0xa699d74b,
+    0x49dd8032, 0xb1167490, 0xcb00f2cc, 0xd1e82607, 0x969e06cc, 0x3fec4563, 0xdb565ec5, 0x4387de6f,
+    0x2f8bded6, 0x84b883ec, 0x13afcbd9, 0xd04ad255, 0x56cd17de, 0x06c9e771, 0x70a03c00, 0x4ae59975,
+    0xbdd88499, 0xbc301dc2, 0x6da8b465, 0xf9105e37, 0xe18c6901, 0x1e1f1482, 0x3af88b32, 0xc7a5ae52,
+    0x27073901, 0xde8be219, 0x862e869a, 0x14f6813d, 0xe04e52f7, 0xf61c4186, 0x73b1c65d, 0xf0c04aef,
+    0x09eabf9d, 0xdf3cd46e, 0x831ffdb6, 0x48d81ff2, 0xc392c342, 0xfa92a3de, 0x5748d14b, 0xa221b36b,
+    0x15d20685, 0xb9e0cf6b, 0xa91753eb, 0x88fa82ed, 0xb26d77ea, 0x5487279e, 0x30392447, 0x18f5424e,
+    0x1298a2eb, 0x09d5c46b, 0xca0dccdf, 0x0687f972, 0xa5f66096, 0x21e94d44, 0x35e7f419, 0x78228cf3,
+    0x972f5e93, 0x73b1e041, 0x0627a0a8, 0xc5c04e69, 0xc115c3b1, 0x5fbeea29, 0x90779ca8, 0xf4a058cd,
+    0xc0aa6bc2, 0x3fe3c801, 0x3474b980, 0x20a90ec0, 0x4ce5c647, 0x6bae4a64, 0x0fd7e28d, 0xa613818a,
+    0xe408ce17, 0xf51b60a9, 0xb5d2dee5, 0x9fe68d47, 0x24cbf183, 0xc9e428cb, 0xc884f0d0, 0x57b6773f,
+    0x52f6f109, 0x94961fe8, 0xcbf3a4a2, 0x1f60d999, 0xb376bfad, 0x272acbfe, 0xd219017d, 0x54bb3378,
+    0x28a09f4d, 0x8a0af30f, 0x192a9fa0, 0xf7b10bf0, 0xebb349b8, 0x71f37101, 0xe2075603, 0x04372c5e,
+    0xb8b9a66d, 0xb054fa8a, 0x2ecadea1, 0xf99bac45, 0xe49224a2, 0x14ae4b66, 0xbcb13460, 0x451c16ee,
+    0x7adc9a54, 0xb2329986, 0xf6464d11, 0xcb22822c, 0x09d2322b, 0xdd83a81f, 0x83d236fe, 0xb793de71,
+    0xfe3cdc17, 0xea5133ec, 0x02783b04, 0x8fdea7c7, 0x45cad087, 0x6538fbe1, 0xf8a0036e, 0x87066479,
+    0xd8b87a90, 0xc0f0a2fe, 0xc0bbf3be, 0x8a290703, 0xfbd1a8da, 0xb25bfbf6, 0xc064af6b, 0x4dd0e22b,
+    0x5ce2b15e, 0x4758726d, 0x5ee29151, 0xfb0481ab, 0xe2048af7, 0x6a4c5e7d, 0xd2303688, 0x894bc6b5,
+    0x8beb9930, 0x6999a868, 0x96b0c3cc, 0xad185e17, 0xb9513812, 0x72f7e804, 0x53c38be6, 0x4741869e,
+    0xa50a2bfe, 0xd0af52cf, 0xe633f717, 0xb2419214, 0xa3fefbef, 0x04615bb0, 0x04ae2159, 0x23e9933c,
+    0xdbb27fc3, 0x2ab21a9a, 0x5bc72a37, 0xb1a0cc95, 0x703b9bd2, 0x4a27bdbf, 0x857d388c, 0xa2002b6c,
+    0xf362367b, 0x5b445188, 0x327a8f31, 0x97aa1912, 0x73a15b43, 0xe8f9794f, 0x4158ea9c, 0xc1a3de2d,
+    0x8ed492b2, 0xe0746943, 0x7d2504f3, 0xab60080b, 0x3805ecc8, 0x5a97845b, 0xa20f56c4, 0x47244c2c,
+    0xf3d6db53, 0xb2bfb5c0, 0xab4779b0, 0x8bbbb9d3, 0xd51fdf88, 0x744e71f1, 0x13f07a7f, 0xdffdafa3,
+    0x8185a034, 0xb8857110, 0x49462eeb, 0x3ec55048, 0xb925692e, 0xe7174453, 0x4ac67136, 0x8c5a4c57,
+    0xb1d455d9, 0x3f061b1e, 0x38035276, 0xc3f79394, 0x908cc56c, 0x8b6a1fb8, 0xcac5e8ce, 0x3464cbb4,
+    0x6eacc1f7, 0x64c69309, 0x617ef2df, 0x3e964256, 0x59ad721b, 0xb20645a0, 0x98364568, 0xf19e2be3,
+    0x9d98a1c0, 0x0664f89e, 0xeab8d724, 0xef741e6a, 0x8f197d4c, 0x652f0fbc, 0x553bcb34, 0xc3ae4175,
+    0x97b7e264, 0xf79b3173, 0x36108e78, 0xd27ca896, 0xfb3261d8, 0xf6e5bc54, 0xeb62ee47, 0x1911ee52,
+    0x059dbf21, 0x487ccd88, 0xcc26d67b, 0x37eac172, 0x2f7bed16, 0x43dafa7b, 0x6ac710e1, 0x92a7d09d,
+    0x66ceb38d, 0xbb40b66c, 0xd27bcd77, 0x076d2801, 0xd7b7b76b, 0x49868f82, 0x7a7d60a5, 0xe03851b2,
+    0x0a5c38df, 0x5b915d4f, 0xe0095c6d, 0x0183f7de, 0x4edc032e, 0x3241a710, 0xe03ed32f, 0xc91c3e56,
+    0x7e15769b, 0xa13fcab5, 0x7bfdb1e6, 0xc3dac256, 0x1e1d9811, 0xe7074ffc, 0xf6eaeadf, 0xe64d49e5,
+    0xb244406e, 0x4c289fbc, 0x538f7c7e, 0xf18220bb, 0x3d40e202, 0x000cc9b8, 0x09dd388a, 0x5a59f44a,
+    0x5a8a615d, 0x8d170805, 0xa6847b2a, 0x4fdb89c1, 0xdb2dae5d, 0x3672ba29, 0x7a7b93bc, 0x03180fb0,
+    0xdea2cf73, 0x39a3f3f1, 0xf999dd0a, 0xab3206cb, 0x283ba3b5, 0xa54e5a9c, 0xc00864e2, 0x12fa84ce,
+    0xaa6d7978, 0x66f3106b, 0x81b1530e, 0x0d1a0f2b, 0xd26c3c8f, 0xf0f8cae9, 0x9d256146, 0xc32fd4fc,
+    0xf9915e0e, 0x39ded1c9, 0x5cdba3ac, 0x5a5224c4, 0x1793ce12, 0x99a6a1aa, 0xd00a135b, 0xc143104e,
+    0x0e4ddc04, 0x0977ce9a, 0x3a7a6078, 0x990091df, 0x978ea0b4, 0x07ee2dbc, 0xaa08b7ae, 0xdd9afd69,
+    0xf4ca207b, 0x6b62766e, 0x8a51316b, 0x20ec7d30, 0xfcf014b8, 0x177b00c0, 0xe65930c7, 0x1f6ccafe,
+    0x2b379ddc, 0x3f2ee164, 0xefa1c01d, 0x8bdd802d, 0x579eee8b, 0x9420e18e, 0xe9a083ca, 0x34577b3a,
+    0x6a0385e9, 0xb0bb58af, 0x9419adeb, 0x76a3293a, 0xf84aa6e7, 0x923fcbd7, 0x0a03d8d4, 0xd5ad5c3e,
+    0x9b2c4385, 0x817e29a3, 0xf8487c01, 0xf40261c5, 0xa28af621, 0x1150889a, 0x5ec7ae02, 0x09ceb7fd,
+    0x1edfefb4, 0x15d013c2, 0x76b3287f, 0xb48fb47e, 0xaf19edcb, 0x3ec239bb, 0xd0d3ddaf, 0xc0dd3e5a,
+    0x03498ebc, 0x6cf0a9b3, 0xc4be3e12, 0x484463fb, 0xb3ba4229, 0xd3b82860, 0xf6e7f587, 0xae1be21a,
+    0x3c5aa044, 0xb1c441c9, 0xdf53e1d4, 0x8ee267b1, 0xeee5b1b5, 0x03eaed98, 0xe5fda7c9, 0xf6d15fb0,
+    0x65903212, 0xc3988ed8, 0x2705847c, 0xdcbbc9bb, 0x89a8ce04, 0x5e0a74d4, 0x4943d609, 0x0e8b0702,
+    0x10f0df87, 0x7fed6ffb, 0x468a80c5, 0x73ebaf7c, 0x8378f234, 0x7c514740, 0x9b2af76b, 0xcd79cea8,
+    0x0b71a864, 0xb35c1548, 0x090ea79c, 0x64e95e7f, 0xfee9bbd9, 0xc5c4ba01, 0x3d3d9d80, 0x9a3cf8b6,
+    0xf9ce3218, 0x7597864e, 0xd406bc16, 0xc365bd09, 0xa045e2a1, 0x1d6238d1, 0xfe23fef1, 0xec4bd6dd,
+    0x331d276b, 0x936c4795, 0x434b0f64, 0x44fca299, 0x336cf3d6, 0x8f4ec026, 0x76ef6245, 0xffe043bc,
+    0x5bdcb19b, 0x1c4ae4d5, 0xa5149b7f, 0x73203f55, 0x2dd361bd, 0x00601dd3, 0xa081c8b9, 0xf811b0f9,
+    0x912b5b68, 0x1f61e75e, 0xbc45e76f, 0xda5580d4, 0x5a7d5c9f, 0xe8f993a7, 0x9e4df4f2, 0x7184770a,
+    0x7a3a4d83, 0xb25b790a, 0x755e814d, 0x4f0f86bf, 0xfbde01e5, 0x24b12085, 0x78cc7113, 0x81c026c1,
+    0x87f5f9fa, 0x500a000c, 0xf928131e, 0x5bbb4989, 0xed123fcd, 0x3cdb3edc, 0x5d499c64, 0x8109c4dc,
+    0x8470cd5d, 0x00258f36, 0x6dee7f3b, 0x8962d990, 0x987736e9, 0xb89411d0, 0x74a4144e, 0xcfc85074,
+    0x204ae4f1, 0xbf1c9e8f, 0xa976939c, 0xcc7d879f, 0x28f0e8f4, 0xb6e82589, 0x25f8e451, 0x80fafd69,
+    0x62f7a254, 0xa5ed2267, 0xca15b9ea, 0x0f3c9bfd, 0x779b7623, 0x1ee3e796, 0xec1e07e2, 0x43ac5427,
+    0xbd1e9895, 0x19253526, 0xc90ad651, 0x1aad8121, 0x96a2e5f0, 0x707815cd, 0x5dd37be2, 0x3b2d60e2,
+    0xa6a454aa, 0xeac45a5e, 0x10d6ea1f, 0x50f45789, 0x7fb642c8, 0x4ea475d6, 0x909c7c1f, 0x80f35e2a,
+    0xe4b1985b, 0x627f5435, 0x91ab55f2, 0x30c55379, 0xc708edbc, 0xd19d0751, 0x73df32c6, 0x28dc5574,
+    0xe8272e52, 0x257b7109, 0x1ff2e499, 0x0a4fe9e8, 0x4eec629a, 0x9ad89d65, 0x17ebced5, 0x2ec96967,
+    0xb286541b, 0xaf9ead8b, 0x12fdc628, 0x25fb6df4, 0x9f1dbb7d, 0xa6e4a897, 0xbec5d701, 0xd057a691,
+    0x6ae6af7c, 0x58c85116, 0xfdacdbc2, 0xc0b510a5, 0xc4151889, 0x799d89f2, 0xef967384, 0xaac0f0b0,
+    0xa23bbdaa, 0x0419822d, 0xca88a4c2, 0x43f9b246, 0xb59ed7cd, 0xb7d204af, 0x0c8ed027, 0xaae41ded,
+    0x28966007, 0x1ea56bfd, 0x51a4a966, 0x708c5e57, 0xf29809f8, 0xa7b1d514, 0x1b51ca18, 0x084b4395,
+    0x6a3efef6, 0x607b27f4, 0x8c30a3d7, 0x5eaf75b1, 0xf8f16fe3, 0x66ca7cf8, 0x00c92640, 0x6712ae05,
+    0xc864f0ce, 0xf59f14aa, 0x0194af1e, 0xa819fd39, 0xc0168dc8, 0x41e48586, 0x4fc392f1, 0x6cd32ad3,
+    0xbabb1863, 0xbe237480, 0x6b6f5c64, 0x4dd339e2, 0x1f78f809, 0xbb11ee2a, 0x30b82100, 0x735a5638,
+    0xc6213173, 0xf2b3b346, 0xa008c0f4, 0xc530059d, 0x20e5d5fe, 0x30b94269, 0xaf28756e, 0xa08cb85d,
+    0x26914336, 0xea0df64d, 0xe6f5bee1, 0x8a70d432, 0x8ae59dcb, 0x46527484, 0xb1108682, 0xfe984caf,
+    0x15f29ecc, 0x7762e7e7, 0xd615aec7, 0x8bce5022, 0xb54155c0, 0x1896305d, 0xe2199ea4, 0x696d4cbb,
+    0x1762cf9e, 0xbf697983, 0xf041f72d, 0x3af125c4, 0x53d3a8b0, 0x0ed1f264, 0x84e976d1, 0x3a668dab,
+    0x297ee08a, 0x55a432e1, 0x11f069e7, 0xe7f01e9b, 0x3d4b6841, 0xab44cca1, 0x659d6cf8, 0xef132e48,
+    0x92a27003, 0x95b58107, 0xc08f7211, 0x9d6afd87, 0x8dca3035, 0x2f267c1c, 0xf46c3062, 0x12fadacc,
+    0xa214daaf, 0xaf32c4a6, 0xdb3c26f9, 0xc96a4b43, 0xa902384a, 0x8c67e9c4, 0x72235c40, 0x7a9dbcc8,
+    0xa8c4937e, 0x56114209, 0x5a0a04cf, 0xe9b38530, 0xb8a10619, 0xe3e78e81, 0x5b943430, 0x7d6942c1,
+    0x0f42806c, 0x4563e722, 0x3f93a319, 0xe6501fc4, 0x5ba4149b, 0x43e3d3e5, 0x6776b966, 0x6a26bf46,
+    0xd2ec3f9f, 0x6cdc074a, 0x6043de16, 0x42bc8970, 0xca38f4fb, 0xf184966a, 0x7eed1d6f, 0x7a24e836,
+    0xbd134144, 0x603c4bd0, 0xe471c02e, 0x7fbe6576, 0x92099d96, 0x093de59c, 0x52eae65c, 0x50553e86,
+    0xe3c5f086, 0xe6d17186, 0xd6f1898d, 0x3614bc38, 0x159c7620, 0x6b9aea1d, 0x8b08471e, 0x8267502e,
+    0x2e226924, 0x9ccd8933, 0xd66d894c, 0x026f6312, 0xf3c0f666, 0xb1fdf148, 0x3ae7a78c, 0xc9c71d0d,
+    0x6fe16fd8, 0xf15fb308, 0x1b373848, 0xc0a37596, 0x7fc27f61, 0x54fc5976, 0x8949f521, 0xead9e5d0,
+    0xf5dda723, 0x7f045fa5, 0xfbdcfad5, 0x24f21cce, 0x040da633, 0xdd9d6bbf, 0x7da4b03c, 0x92bbd12b,
+    0x3d9424be, 0x547639eb, 0x08a295a7, 0x8cbd1236, 0x46abf947, 0x44d7a263, 0xac05f75e, 0xa317c312,
+    0x6525e961, 0x215f15cf, 0x26369bfd, 0x7eee72d6, 0x7ee2dc1e, 0xd1ec8b36, 0x4044a2c3, 0x9cf57a00,
+    0x5a88fd78, 0xe7b2fcdb, 0x0af0274f, 0x621bd9ec, 0x30fb717f, 0x93ed813c, 0xf17ec173, 0x2c9abe0a,
+    0x7e6fe89f, 0xd634ff6c, 0xc9a1d26c, 0x023d8ad4, 0x713d1ad4, 0x0135d591, 0xf120b489, 0x7dd12d7f,
+    0xe8155468, 0x516d174a, 0xa3ad92e6, 0x75902a24, 0xfff97d41, 0xeceba729, 0xba04e8e8, 0xf42b2e90,
+    0x103b9b35, 0xe84b6c2c, 0xd42c752d, 0x3e078cad, 0x1eca1648, 0x2a9ca7e6, 0xfc21b004, 0xe870bd3f,
+    0x00000000,
+    0xd3c25e67, 0x000006a4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000002199023255552 */
+  { 0x00000000,
+    0x9792d552, 0x3fe2b4f6, 0x33d27471, 0x9b7a69c1, 0xf035641b, 0xd08a976d, 0x752cfad2, 0x54d8a3f6,
+    0x88ecc088, 0xa344d7bc, 0x92436a63, 0x20e39dc3, 0x5b95bf43, 0x9b467009, 0x06610bf0, 0xe0b9035f,
+    0x96895f3d, 0x0953b368, 0xf3fbef4f, 0x18baa28d, 0x5b4f92dd, 0xe2c477f5, 0xb1d82af7, 0x5803fd3f,
+    0x4e651e29, 0xf767794e, 0xf15ae858, 0x4bc7b726, 0x0cbf2aa1, 0xfbb30db4, 0xb7cc0387, 0x20616a23,
+    0x5ce40d81, 0x5fc67d96, 0xca36b6ae, 0x846a8c28, 0x4ee5b79e, 0xe90afd3f, 0x1a60d4a0, 0x8af4960b,
+    0x1cb40103, 0xce0ad062, 0x6279c540, 0x1b6a7185, 0x98b9421e, 0xb392a1a4, 0xba5eb818, 0xef2e1b0e,
+    0xc980fbf6, 0xa2c98b86, 0xc464cf18, 0xa57b8b18, 0xa50ae611, 0xda537f72, 0x35ecaa02, 0x201848e0,
+    0x9af12425, 0xe5176cc9, 0x584d82f8, 0x9948b7db, 0x16089777, 0x97adfe29, 0xebad7ef3, 0x9121eaf4,
+    0xc9c82156, 0x6c51a980, 0x970af4d4, 0xf30da2cb, 0xfe91b7fd, 0x1e443163, 0x6e61c5bb, 0x561644c9,
+    0x4ceb7cbb, 0x203dbd92, 0x5b03bd11, 0x0ff4d5dc, 0x2d923e7c, 0x253ecef7, 0xd5c92dbf, 0xd16919ba,
+    0x94ed53dc, 0xccf13d30, 0x51850052, 0xddd18f87, 0xf2f2b9ea, 0xb96f7504, 0xd09c7e4f, 0xec973dfd,
+    0xab90914a, 0xfa1506ee, 0xe3f184a4, 0x949c7473, 0x68c5770c, 0x1a6e5237, 0x989cc83f, 0x69239722,
+    0xac6a895c, 0x420906cd, 0xce622505, 0x59af04f1, 0xa412ce3e, 0x4c8ece06, 0x9f79b8f2, 0xc15fc8e5,
+    0x6435793b, 0x4f18d328, 0x39ab45a2, 0x8094e73d, 0x932a4d86, 0x19c98325, 0x42c9823c, 0xb65a4ab2,
+    0xd44d1dbb, 0x12534e71, 0x83f7b3f0, 0xbde17704, 0x6f489509, 0x3d4534f0, 0x67d043a7, 0x307eb3ca,
+    0x7c4ba358, 0x731c60cd, 0x1b573477, 0x35a7e4df, 0xc5636aca, 0xad74ceda, 0x9407c678, 0xd0ff0a89,
+    0x10190624, 0x95fc8176, 0xc2f6de4e, 0x748ecfe8, 0x217b980e, 0xac097a9e, 0x3476ec6b, 0xd1881618,
+    0xc20bcff8, 0x0580e370, 0x25b64b84, 0x48edc50b, 0xfcca26f8, 0x9991b7f2, 0xfea62497, 0x1194b1cf,
+    0x17fec0e8, 0xb966a602, 0xe7d965c0, 0x98ba1362, 0xc55ee4a9, 0x22e4325e, 0xcb941868, 0xdbac9e79,
+    0x506e9411, 0xb468bf41, 0x7239bd70, 0x54976753, 0xd69838ae, 0xf369851d, 0x4340253d, 0x3e6f0b17,
+    0x462fbb4f, 0x73a7354d, 0x47082eee, 0xa9768342, 0x9212df51, 0x286072f8, 0x962db6bf, 0xa80b4cfa,
+    0xd11d1be5, 0x2eef8f39, 0x57a62e03, 0xbf50f27c, 0x7d5c2fc4, 0xd2427ecc, 0xc7a1cb91, 0x72e811aa,
+    0x5aa68374, 0xee1ec7ef, 0xb29579a1, 0xb4dfc7ca, 0xcdc2770e, 0x57526d4f, 0x738d4158, 0xd1d0ef7a,
+    0x16ac5c08, 0x92bed118, 0x9069a5a2, 0xe36db670, 0xce2aadf2, 0x82db84cb, 0xcc176c68, 0x2d486a9b,
+    0xc1c87056, 0x072efdc5, 0xcd6a3f0d, 0xc36751b2, 0xbd5bcd51, 0x5bd4fdaa, 0x58745b1f, 0xd0d8126c,
+    0xdc60258f, 0xb9389230, 0x545ac053, 0x0e734541, 0xe0a7b149, 0x88dc20d5, 0x1b5ef629, 0x929ef4dc,
+    0xd1b5503e, 0x24b7cce4, 0xd53ed9d4, 0x207c6079, 0xd1c15e8b, 0x29b99e68, 0x1a1f76e2, 0xd31e531d,
+    0x85411e1a, 0x838d0441, 0x9704f7a0, 0x21c1ad74, 0x0aa5fd5c, 0x81007587, 0xd46c140f, 0xdd8e8032,
+    0x19539519, 0x14803b3b, 0x2b40ae42, 0x58e6c5d3, 0x0f18b8c5, 0xd0aa1f92, 0xe2cf5b0d, 0x1691a97f,
+    0x2178558e, 0x1b47ea8e, 0x82b1fe03, 0x01bbfced, 0x4d416863, 0x275c354c, 0xee7d6ec8, 0x45c09ab0,
+    0x110ab85e, 0xa16e6dc6, 0xc396b994, 0x0355b7e3, 0xbd50ce97, 0xfc4a9e6d, 0x64a13e70, 0xffca16a2,
+    0x173d0c9d, 0x94b85f73, 0x23a81df1, 0x4957259f, 0x8a4660c2, 0x640007a2, 0xf9b9aa57, 0xdf9540ee,
+    0xa507c486, 0x50a530b5, 0x3e2db0e7, 0x18eaa4bf, 0x96553597, 0xb60d8e46, 0x2a225775, 0xaff6e371,
+    0xee892819, 0xa0a6e93d, 0x5bb7eb16, 0xf2ebb100, 0xe5d87845, 0xa960a54a, 0x0c9d45d2, 0x6b925217,
+    0xdaaa8553, 0x83cb29fb, 0x979134a0, 0x2f257fbd, 0xca80f196, 0xd71ed81d, 0x7ccdebce, 0x3d5b3ada,
+    0xc84c158d, 0xf6d652ea, 0x866f08ed, 0xcbdd4cb6, 0x700cd407, 0x89835cc1, 0xc332f619, 0x61217d0d,
+    0xaacb943e, 0xef829279, 0x9016582f, 0x581e3961, 0x6b97e4ec, 0xc597d75b, 0x8b50d1fc, 0x9b1d2bf2,
+    0x2da33c33, 0x5dc54d2f, 0xe9f343dc, 0x6a9975d9, 0x3711d19a, 0x2e80b43e, 0xaf2cc350, 0xbdc5f86b,
+    0xf50eea07, 0x9757928d, 0xcc042a7f, 0xa6eaa5d3, 0x5199d55e, 0x53317a34, 0x5da18436, 0xf088bfee,
+    0xb947a656, 0xa8be4bc7, 0xf86e28b9, 0x94c85acf, 0x18ce164a, 0x2c02ae8e, 0x2d067e69, 0x8a8f6847,
+    0x3ef2a75d, 0x3a6b00bc, 0xd4fe4602, 0x4858009b, 0x3ce67ec9, 0x267d46b5, 0xd32ae127, 0x922300a4,
+    0xc09b8cf4, 0xba4330b2, 0x3c1bc3fd, 0x4ec69baa, 0x04a47cc4, 0x3b496b5d, 0x54e62898, 0x47b31afa,
+    0x51981320, 0x6e8dad4b, 0x21111072, 0x98fba480, 0x2768e25b, 0xd654d6f8, 0xe17807ef, 0x51f78a24,
+    0x9364f15b, 0x204836fb, 0x536a6f86, 0x2fa7a20b, 0xd72b7b64, 0x4848340b, 0xf0a894db, 0xe0ea6969,
+    0x4e2e9881, 0x0e3f718b, 0x945b4cad, 0x994f926d, 0x4dc6a19e, 0xdb948c47, 0x6ea305a9, 0x2a2c88c4,
+    0x6108afbc, 0x756e6c00, 0x0999ae5d, 0xc72e4990, 0xc96805e9, 0x405e040a, 0x5dc3783e, 0x987eb1f5,
+    0x4be6b484, 0x4c11b674, 0xbee9e6c2, 0x41fadfd8, 0x79b68c2d, 0xd7d489eb, 0x4283819a, 0x508cc726,
+    0x35e9ca59, 0x98ad86c0, 0x5330a056, 0xe59e4050, 0xbbcad6a1, 0xd989d26f, 0x9c35719f, 0xa208fdf0,
+    0xa3664c4c, 0x3b07b027, 0x23354b33, 0xffc2f88a, 0x741a477c, 0x935369fc, 0xbba6dbb7, 0x3df60467,
+    0x8954b989, 0xeaa12ae7, 0xd9152a36, 0xc26a6404, 0x358039f7, 0x13d6b5dc, 0x2ce7f398, 0xc504a8ed,
+    0x8754f6b0, 0xb641fe20, 0x654fd193, 0xc8e766be, 0x641dbacd, 0x07f6dda3, 0x7283a6b4, 0x2ddfc18f,
+    0xe3bd72c1, 0x547022e5, 0x39b0781e, 0x2e55b4a3, 0x98a6dbfa, 0x7e27aed3, 0x921656f8, 0x0fb784ce,
+    0x74e78a85, 0x87e41747, 0xcad13427, 0x330f74ad, 0x73820e9c, 0xce33af0e, 0xf654454b, 0x97687619,
+    0x1d411a3d, 0x2fcefca3, 0xc1d54bb8, 0xc442c1fb, 0xbe2656e9, 0x521ce90d, 0x9463ddfe, 0xeaa351aa,
+    0xb087bf81, 0xf6ad8e0f, 0xe6e12214, 0xef2197ae, 0xfb51bb25, 0x564158c3, 0xd583257b, 0x582ef06a,
+    0x7cdd95a0, 0x430be3d4, 0x0dc3ac54, 0x3c422aba, 0xa4bed0b6, 0xee1678cd, 0x0c58b805, 0xefda5a95,
+    0x36aeb4d3, 0x6886acfe, 0x29910818, 0xd5968df1, 0x5977f49f, 0x49ef4687, 0x8cff1a71, 0x9d8f04af,
+    0x200ca2e8, 0x2da6d721, 0x4b2b93bd, 0x8ca1ba83, 0x0ccdc28f, 0xcacf84db, 0xf1d13a50, 0xe0610cf5,
+    0x2e51d05d, 0x3091d946, 0xbc3c8bba, 0x559b4ee1, 0x8d0c63d0, 0x5a2db1d5, 0xc9556da2, 0xa9e314e9,
+    0xc21c793f, 0x80fe21d4, 0xced2a0e4, 0x5b957680, 0xc916fd85, 0x7f51995d, 0x18338ffc, 0xa72c64a7,
+    0xca56444f, 0xde5b73fd, 0xcf3c9596, 0x9995aa26, 0x88147d0d, 0xb8302a65, 0xa9ee1db3, 0x98ec4a88,
+    0x7b05959d, 0xab982153, 0x02070ef0, 0x3acb8e4d, 0x6e5dfabc, 0xa9b08a7e, 0xc49941ae, 0x282a2dfd,
+    0x0cdb74c8, 0xd299ee76, 0xb5cd67de, 0x3e66112e, 0x6e1b9de7, 0x0550bbcb, 0xe48718a5, 0xe6e041f3,
+    0xc780bd4f, 0x43f80d5a, 0x60c91247, 0xb6ad8078, 0xd6d5345f, 0x716a16af, 0xeccadc59, 0x342f0544,
+    0x4e0407df, 0x2702b33c, 0x5557a5dd, 0x933d39da, 0xa1fb7fdb, 0x543d378f, 0x449b03c5, 0x98b00cef,
+    0xd0aeecb3, 0xfd9b6c91, 0x7c834106, 0x80c2ede8, 0x126693cc, 0x3e828106, 0xa4a145d0, 0x02d01d96,
+    0x80d56e73, 0xed00b7db, 0x6ca04c23, 0xc7b79245, 0x357db862, 0x4efcb8e6, 0x54fb0ca5, 0x054cb3d0,
+    0x99ae43ed, 0x3947ddfa, 0xc425842b, 0xd8af546e, 0x830788c4, 0x11b2c95a, 0x5680bdb7, 0xb6be6765,
+    0xcda14361, 0xfb20cab5, 0xf1c961c9, 0x13e7c0df, 0xfd75be42, 0xbdd3737c, 0xc1225952, 0xf2b1e7ea,
+    0xd6526ac0, 0x4c8279c1, 0xab178853, 0xcd3313df, 0x68371b23, 0x15efe4f4, 0xe4bab54d, 0x846fc597,
+    0x74582030, 0x8f56a4fe, 0xf832307d, 0x350fe936, 0xbf61a53e, 0xe95e5f3d, 0xb29dfa2d, 0x6386ec22,
+    0x4b4aa8d3, 0xea83eefa, 0x47ef4297, 0xbda989b0, 0x2d9ffe9e, 0xb434dd77, 0x2670dd8a, 0x06b57b0e,
+    0x7691a21d, 0x1426c8e2, 0x1946a5ca, 0xab70ace4, 0xed64ca90, 0x4b54058b, 0x423df8d5, 0xfbe4096c,
+    0x6eb5270e, 0xd35d226a, 0xc36663cf, 0x1f37370e, 0x0eb41cc5, 0xc3eca05f, 0x6458ba58, 0xf3a731ab,
+    0xd5d3670b, 0x2a8db9c9, 0x38d86055, 0xa3cf1396, 0xb04540b7, 0x1cdb436f, 0xf4363b2c, 0x0590a178,
+    0xeac3dd96, 0x7e85daf5, 0x74b79813, 0xed66b0dc, 0x419af3dd, 0x35a327ba, 0xad5dfe9f, 0xffc12bb3,
+    0x359923ff, 0xa1f9f569, 0x50acbedd, 0xe54724ab, 0x8e1901a7, 0x17dce406, 0x95c848b2, 0xac3501d7,
+    0xca587885, 0x22e1ed54, 0xc9bfa8c9, 0x2eb798ff, 0x29d30d00, 0xdc06b44c, 0xcf59590d, 0x22c4fbc6,
+    0xfd625e25, 0xf2f6c366, 0x6c36da45, 0x54fbd7f4, 0x97f11c43, 0xea148eee, 0xd83262a8, 0xcda8c6eb,
+    0xb2770144, 0x346b8511, 0x34ff274e, 0x505bedf5, 0x9fe29fef, 0x2b0e31aa, 0xbd2dfbca, 0xba8a2a3c,
+    0xb3443e42, 0x9f5d4152, 0x1087a726, 0x1096d28b, 0xe7682d8d, 0x210a08f7, 0x9c762cd9, 0x960ddd1c,
+    0x7ab4e95f, 0xf5969f65, 0x53423f47, 0x1bc27692, 0x154cf0e1, 0x3698342a, 0xb1637286, 0x629d2d47,
+    0xac3428e2, 0xb9857f95, 0x98eaa956, 0x88daf9ce, 0x228c22c9, 0x26888141, 0x788611d2, 0xdeae384c,
+    0x90764d22, 0x28deb1f6, 0x129e0e2c, 0xc7b0b45a, 0xed23f702, 0x48063b8c, 0xe921daee, 0x469a70a0,
+    0xe8c93491, 0x9fca8560, 0x467ce4a2, 0x33851608, 0xdd9236d9, 0x0cbc7eb8, 0x17001931, 0x2b5d3f5a,
+    0x877096e4, 0xc571a7f3, 0xb79259ed, 0x94c33bfa, 0x65a9eb25, 0x658548e5, 0x6a871d09, 0x96ee71d3,
+    0xfd9c743f, 0xe4f76ef7, 0x7d57bdf2, 0x6a4247d7, 0x938142d1, 0x85bccae9, 0x601df76f, 0xd8551546,
+    0x66e7ff4d, 0xfad23d02, 0xb2b63bfc, 0xcfde4d4a, 0x5a990658, 0xabdd1eb8, 0x32e15394, 0x5b2c62a9,
+    0x13a0d1e1, 0xe79dab25, 0x73950ce2, 0x186f7f7c, 0x8336da4a, 0x76bb1ef9, 0xf4af8b45, 0xc9f90b77,
+    0x19dbe27f, 0x9f627a02, 0xf8935d15, 0xf67f896b, 0x80513872, 0x6ff87545, 0x3d83d676, 0xb674b51c,
+    0x9a60ba60, 0x551055a7, 0x99178af5, 0x641879b6, 0xe5b041d0, 0xc5212728, 0xb5f4c61c, 0xa3134a06,
+    0x594788da, 0xb3d20393, 0x6a0aedc9, 0xc052beff, 0x33701673, 0x9c93f824, 0x1b5968bb, 0x5512ff00,
+    0xee1d1f62, 0x9de68926, 0x2dc53a91, 0xa3e45f65, 0x7298a068, 0xa4324d3d, 0xe3fa09d1, 0xfa2a2103,
+    0x4b13b13b, 0xc8d29f2b, 0x91915646, 0xed17211a, 0xf08b5760, 0x9e3ba523, 0xbd7ce402, 0x9284161a,
+    0xfbde626e, 0xa7285152, 0x02a9b6e0, 0x0a314312, 0xb20cb60a, 0xfa3c405a, 0x7ad3d166, 0xec2dcd91,
+    0x130d29d5, 0x51e5bfaf, 0xfd7600c0, 0xfbfb06bc, 0x00a305a3, 0x64ffa5d6, 0xfff604bf, 0x0f3867f3,
+    0x0235ed64, 0x1df620c6, 0x65b6ef0c, 0xfd9c76c5, 0x1094d3de, 0x22fc017e, 0x1b84374d, 0x69676999,
+    0x5250c0f7, 0xbec6fed1, 0x66f82b50, 0x22cb1a05, 0x1f6b8c7e, 0x78f68515, 0xb5f8e631, 0xaadada1c,
+    0x998884b3, 0x38edaa70, 0x26176da9, 0x9f91f280, 0x90c4ee48, 0x6827b2c9, 0x3e09e840, 0x71c58945,
+    0xd9245591, 0x7ed6d55f, 0x9c7e2c22, 0x09f07b6d, 0xa900f1c8, 0x551199e7, 0xd986420a, 0x27131f2c,
+    0x6a4e24a2, 0x427cb965, 0xa876a9ca, 0xa0cd9422, 0xfd66c3b9, 0x032a5441, 0x7707491e, 0x3c6c5423,
+    0x82667859, 0x81efa36a, 0x89400c5f, 0xa5725245, 0xe4ab7858, 0xc1ea57a1, 0x5ff1d14e, 0x8f08d727,
+    0x42448df4, 0xc32ad90e, 0x3c83892c, 0x8ef9ca28, 0xc2deac4e, 0x235f908c, 0x7e3d0e7f, 0x1757a60e,
+    0x93d2ff07, 0xa300cadd, 0x6856b7c7, 0x8ac670d8, 0xd10cf3d9, 0x0eae7f6e, 0x2c5d58ab, 0x8c328127,
+    0xf5e6aa6d, 0x4c4ef7b1, 0x6e2eb88a, 0x22152ecc, 0xf79518b7, 0x20f66172, 0x3cfb4f60, 0xb3894ef8,
+    0x0348a6f3, 0x00ce0446, 0xeb8b8695, 0xd9f161f7, 0x43705e98, 0xe755c943, 0x2534a527, 0x3a8a8a39,
+    0xd795f487, 0x81f3e38c, 0xcbea4f7d, 0xdc692553, 0x584163e0, 0x4e6696d6, 0xe86d5c58, 0xcdffbb87,
+    0xc4a780b1, 0x3d29d179, 0x97bd65ec, 0xffc462ab, 0x827ee7bb, 0x50359ae4, 0xae196384, 0x04c2b1af,
+    0xe59dd816, 0x8268c398, 0x1b06ac39, 0x2e4e39c7, 0xd9fff284, 0x32414973, 0x36b0b15a, 0x72f0426c,
+    0xb1289012, 0x422b751a, 0x8c48368e, 0xb6103e75, 0x9d1f896b, 0x0d1cff8e, 0xb144df80, 0x3e716930,
+    0x518cfba4, 0x05ebe149, 0xe1657c89, 0x355808ff, 0x4c30cc4b, 0xf53c154e, 0xd2af5451, 0xf18d4901,
+    0x969eaeea, 0x51f24f8f, 0xaf382073, 0x5c9416c4, 0x3ac0a94e, 0x768adeeb, 0x25160490, 0x12109208,
+    0x0133f715, 0x4c9ea8ae, 0x41e3de40, 0x8bfb0c21, 0xf5c71072, 0x90c3682d, 0xf09ce0e5, 0xaadf8595,
+    0x690be966, 0x99cf11ad, 0x67f56c41, 0x151c7884, 0x0bf040a3, 0xfbeed8b4, 0x68546dc6, 0x3230ae60,
+    0xdc1e0322, 0xfafad2ef, 0xb1521226, 0x862df441, 0xd8e81d75, 0x7d92e00f, 0x9ad08119, 0x0366e795,
+    0xe23b95f9, 0xdfe0315c, 0x6848f608, 0x302d3d97, 0x191b277e, 0x2f1ad0b3, 0x49b5599e, 0x2a2a511b,
+    0x55c2b319, 0x81ae3c98, 0x5c6e582b, 0xfef17b5b, 0x07b60456, 0xf8a03073, 0x36c16818, 0x2e455cce,
+    0xaf38b037, 0xd2d9da33, 0x4bd884f3, 0x7005ff8b, 0x806fbbea, 0xb6cc8de2, 0x84e2db2e, 0x5c4f3b8b,
+    0x49bb9c99, 0xc08945ab, 0xbaf8cfb8, 0x5f1be3e9, 0xb734c872, 0x446ede6e, 0xed21ffff, 0x34299f82,
+    0x85eb3f90, 0x9764b6a1, 0xe078ddaa, 0x2ce535bc, 0xf1612b87, 0x7eb0ecfc, 0xdc04a0a3, 0x989c4e82,
+    0xb1799a1c, 0x5316a88e, 0xd025760b, 0xb73fa9a0, 0x8dfe4474, 0xaa6466c9, 0xd14600b2, 0x6a95cb53,
+    0xfebb779c, 0xc3d1c02b, 0xca99e3a6, 0x35426e77, 0x9e0b97be, 0xf1905057, 0xe83d66f9, 0x68439db6,
+    0x58980e92, 0xbe3453a5, 0x41df12ba, 0x85a8bd00, 0x34d40142, 0x443cce14, 0x7211b591, 0x5e7475be,
+    0xad40ffa7, 0x496e3c68, 0x648a606b, 0xa0004d4e, 0xd3359c7c, 0xdc5a9c56, 0x7777a918, 0x347c220e,
+    0x5addd70c, 0xf52c2882, 0x2b9e02db, 0xeeac605d, 0x92804b0c, 0x5f1160a8, 0x5950504d, 0x4b6ed2aa,
+    0xaea8bd41, 0x3cd23e8d, 0xd5873457, 0x45333511, 0x82f084be, 0x9b181ef0, 0xe7289eea, 0xac7d1edc,
+    0x00000000,
+    0x69e12f33, 0x00000352, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000001099511627776 */
+  { 0x00000000,
+    0xbde7b5f7, 0x6d5e5e07, 0xd8ae71d3, 0x54c4dda6, 0xebebfdb4, 0x29d0f31d, 0xa43712b8, 0x38d9eacc,
+    0x3b369ff7, 0x863c516d, 0x4a2b18f1, 0x479e4a9f, 0xb22e0ec0, 0x8c952d7b, 0x00a0b257, 0x8186d0e5,
+    0x2a6bf43d, 0x3702ad0e, 0x4fde7f83, 0x96b732c0, 0x55d48230, 0x21e9ff51, 0x2d016185, 0x0825ca49,
+    0xeb208c95, 0xea95dd76, 0x292b51b6, 0xdaca6bf3, 0x2da5911c, 0xac6718f1, 0x5ae8681f, 0x7dbb272c,
+    0xfa25f0b5, 0x78a8e778, 0xe648bc7d, 0x23d50653, 0x37571988, 0x92f35d4a, 0x7c4e84c0, 0xbe8f6709,
+    0x86539937, 0xcbd0d525, 0xaa4e95f2, 0x48690ab7, 0xc5d8d165, 0xdf725098, 0x908c11c8, 0xf3012e65,
+    0xd1afd644, 0xdc18d86b, 0x5a37a093, 0x36f5b0e0, 0x4d81166e, 0x188c4cdf, 0x7037cb85, 0xbe0e077d,
+    0xbe1a6e28, 0x9d5e9bf2, 0x712a8af7, 0x5a8d8e22, 0x9f819970, 0xc87c1c3c, 0x1a2305ef, 0xf818656d,
+    0x36d010c7, 0x1be5e41d, 0x4c74837a, 0x962ea875, 0x8406dab6, 0x3de5aaf2, 0xb4f94649, 0x6454395a,
+    0x9f56eff4, 0xc853a5ae, 0x3179ac6f, 0xb63b9744, 0x268f403e, 0x61d26748, 0xae905156, 0x0510a0ec,
+    0xc31f5ec1, 0x3d4e8b23, 0x7bc4cdf3, 0x1e72b336, 0x48fcc3d5, 0x43827ca6, 0xf9cbb03a, 0x577d9b8c,
+    0x8f945997, 0x864de07b, 0x56d3a2e0, 0xbf1b20ad, 0xb5ea9b82, 0x462af27a, 0xe1374e04, 0x50bc9e1f,
+    0x4401e580, 0x5b33c92f, 0xe10b5d7f, 0xec733573, 0x710a01e0, 0x713ad902, 0x0297e72f, 0xea629856,
+    0xc96b5595, 0x695793df, 0xb5c087a6, 0x50d353b0, 0x37e2244b, 0x97a5d10b, 0x89097b73, 0xb3d18beb,
+    0x80c5f692, 0xac1e4794, 0xd9f05608, 0x59ca78b2, 0x6ca39cd4, 0xda7688ac, 0xb2df5b0e, 0x4cd14d53,
+    0xf3743f4d, 0xc9c24dbb, 0x737e3a9e, 0x9b885162, 0xdd2aaf10, 0x2e18fc9a, 0x9ac2a506, 0x1136a213,
+    0x496614c5, 0xcf96c308, 0xc230a57f, 0x8d68f47a, 0xdc83d47a, 0x15b55640, 0xb261aef6, 0x67b1a500,
+    0x20ad23f1, 0x4ed0ae73, 0x13c6e69b, 0xb63f60fd, 0x292569bd, 0x6bd64c6e, 0x78770adc, 0x2c95fdbe,
+    0x10a49a84, 0x3c9f5f93, 0x6439ff72, 0x1cc6f18a, 0xa1b52d91, 0x11b34cf7, 0x6976ec18, 0x4299ccc1,
+    0xa7a74959, 0x351314cb, 0xce84885a, 0x7402abee, 0xda8d9fa5, 0x0215d9cf, 0x0e20bd76, 0xae79adbf,
+    0xf937c2a1, 0x323d4656, 0x5d9e8315, 0x8dfce8d4, 0xd341e4d0, 0xe29dcc53, 0xbcf251e6, 0x5319cbb4,
+    0x94ae7de4, 0x555511bb, 0x896a3ca5, 0x0c0259c0, 0x40817ed2, 0x4319dc66, 0xbc53476e, 0x1d00f4f4,
+    0x55978405, 0xfb2f021c, 0xd4925bfa, 0xd1fc7777, 0xbb2a1190, 0x911793fe, 0xeeb19bcc, 0x8629ce73,
+    0xa1f1f1ee, 0xb58350ae, 0x7fcce01c, 0xee851919, 0x078319b6, 0xae1e4ff0, 0xc4da4e8a, 0x5b91f0af,
+    0x5997c10a, 0x58dac18d, 0xf2d0f508, 0xf12e12e0, 0xc8d9fca4, 0x41dc1144, 0xf0d30a44, 0x597c706f,
+    0xeaeb759a, 0xec2793c1, 0x59f183de, 0x1ac7104a, 0xb5999d54, 0x0ed3143d, 0xb32c9fb3, 0x69c1e66a,
+    0x60711c9e, 0xcb6121e7, 0xc6c2d649, 0x9cdf440f, 0x3a638fb0, 0xd4816e28, 0xd931252b, 0x7469da33,
+    0x391fed92, 0xe1786792, 0x848a6884, 0xd90ed46b, 0xa4e03737, 0x864059f9, 0xff5f1c7f, 0xdee1dcc1,
+    0x533ab493, 0x74bb4845, 0x01d081a5, 0x7f0a0883, 0x60ae835b, 0xd9c199f6, 0xa3eb2bb3, 0x8af8b441,
+    0x0759fb3e, 0x3af20998, 0x97ede9f1, 0x553a0aa4, 0x938ffc29, 0x3b459696, 0xd8fdf583, 0x0f70cc59,
+    0x62a7c6a9, 0xa35a497d, 0xed2cf3d8, 0xdf1115a9, 0xfcbff1c5, 0xd1c9aacf, 0xc20b3ddd, 0xa62041ce,
+    0x2fc16fcb, 0xe5fcd1a3, 0x88de9f81, 0x34fbe7b6, 0xbd24df1a, 0x14a1115a, 0xabc22973, 0x939179ae,
+    0xe592fbc0, 0x04b17004, 0x1848a3e2, 0xce06699b, 0x6f21357a, 0xc6eba820, 0xa243a089, 0x02b75b5e,
+    0xa89714df, 0xe6f037ca, 0xab88ecc9, 0x015cb06e, 0x263912b7, 0xda209837, 0xbb9af856, 0x6a0aca86,
+    0xd996f51f, 0xb4945605, 0x1c778569, 0xf04329ab, 0x6648373a, 0x735da568, 0xb6478afb, 0x96f15b4d,
+    0xa251b4f6, 0x0d2078c2, 0x06ff6488, 0xb41ae42a, 0x4b9bf3d3, 0xe5116b48, 0x57bf7eed, 0x0cc1ac67,
+    0xa8bb27ad, 0xe2d5631d, 0x1e5d8e31, 0x5f4e84eb, 0xa504271b, 0xe0af2984, 0x9a18b407, 0xe943f22e,
+    0x9c5b06be, 0x639e9d9a, 0x26ac088b, 0x605269be, 0x17543923, 0x2bf90670, 0x8ac74e30, 0x8b73abfd,
+    0x8767fee1, 0xccb514f3, 0xac103e0e, 0x9945d1e8, 0xc8fab69a, 0xacdd7344, 0x32b1288b, 0xe13dd8cd,
+    0x4b097f64, 0x44dfea87, 0x5fe5964b, 0x57b07383, 0xb88bc710, 0x36a7487c, 0xd779346d, 0xe781dcce,
+    0x9ad6d043, 0x55366aed, 0xd35abb6c, 0x5169cfd8, 0x3cc98700, 0xe14d6231, 0x45f8dbe5, 0x6b31f629,
+    0x9aab3560, 0x3f189df9, 0x5da5083c, 0x579771f4, 0x240960c7, 0xba77b094, 0xc0ca4060, 0x2bae1a24,
+    0x9d01cdc6, 0x80406df1, 0xcc111a51, 0x4476c170, 0xb40efb11, 0x2fce7bf2, 0x5c0933ec, 0xa1b6080c,
+    0x8cb44996, 0xd6a1ae57, 0x2b7e7f8b, 0x245dc654, 0x02437329, 0xc312e96a, 0xec6f89f9, 0xb5a19c27,
+    0xe4cdea28, 0x55106c7f, 0x0f8b4ebe, 0xe55b5623, 0xf5b32a21, 0x304261db, 0xb5736996, 0x773f4984,
+    0x7883e45e, 0xc1aed0db, 0xbaff62ed, 0xb11ea6c5, 0x8741b9a8, 0x9f79b4ba, 0xb4470f71, 0x0b8caef7,
+    0x5791cdfc, 0x4d25c5b5, 0xeb3f8bf2, 0x79e988de, 0x520ed3b4, 0x5740ccbf, 0x2faec82e, 0x13b8f7da,
+    0xdbbc643c, 0xb72fc3b6, 0x16dd87df, 0x9218c901, 0x08b18ded, 0x577916aa, 0x82d39978, 0x9a7d4bf9,
+    0x0ac08765, 0x79ef3ddd, 0x5a791556, 0x75f5eb34, 0xce48a9ee, 0x030f0128, 0x0b0915f6, 0xf08a1b39,
+    0xc1bf31c5, 0x3fef7563, 0x0b94627b, 0xc532077b, 0x14a6e34d, 0xa9f0dd75, 0xc1b8d28a, 0x8fb4a043,
+    0xab071bcf, 0x0a73d0cb, 0x0b683076, 0xee94cc5c, 0x290b1986, 0xeacd9b0c, 0x0426d598, 0xa4dc812b,
+    0x87ef12c3, 0x5ffd46a4, 0x54e83460, 0xa90c1745, 0xb9964912, 0x2668c489, 0x9b819d39, 0x8f1360e8,
+    0x31bce418, 0xf4aa9a9d, 0xe783745f, 0xa7ecc58d, 0xb5955aca, 0x9befbbf9, 0xd044725e, 0xd0e8dd3d,
+    0x0091674e, 0xd3aa2d6b, 0x3bd8970e, 0xf4151a81, 0x919d676c, 0xeaf39951, 0xdfc2c0ac, 0x7d9baa03,
+    0x3a6e03bf, 0x7d3cafc6, 0x6e7accda, 0xc0d42da0, 0xf06170db, 0x7e417216, 0x513640ba, 0x97c3e2af,
+    0xc4e16b64, 0x8da80609, 0xc088e135, 0x24f3ecdd, 0x681236af, 0x752e0c47, 0xde262ee2, 0xc30cf42d,
+    0x0e90603d, 0x10392818, 0xed1c5bca, 0xc437a9a1, 0x23ca6a7e, 0x8fc773fd, 0x13f196cf, 0xfa31be74,
+    0xc5a0d4b8, 0xcbddbac3, 0x9376d61f, 0x72e713e5, 0x7c6da3fe, 0xc2f97778, 0x5381477d, 0x4496b4a5,
+    0x2c679f8c, 0x4c42e738, 0x9eb36d34, 0xe5053c9c, 0x3a7b09a7, 0xdeaacded, 0x4829233f, 0x44129b4a,
+    0xbeb78939, 0x8573dea1, 0x5273c886, 0x92b78271, 0x6565b80d, 0x49deead5, 0x05d0ebff, 0x3ef715db,
+    0x913e6e07, 0x222aacd7, 0x72d73670, 0x218d386c, 0xabc1d1a4, 0x7a70fbb4, 0xae986917, 0x8ea51bc0,
+    0x3ba48313, 0xa71ad663, 0xfb3aa28d, 0x04832fc0, 0x55f2d424, 0x8ec321ac, 0x8233e0a5, 0x611b3d38,
+    0x0c55dfbc, 0x88e85a9f, 0xdcd908ec, 0x43f9e8dc, 0x2b697d43, 0x21801af2, 0x64eba082, 0xf153064a,
+    0x2072240b, 0x0991c9ec, 0x1d622bd4, 0xdb1a3996, 0x7cff9af5, 0x0d2ac85f, 0xe0d3f1ea, 0x6ed41958,
+    0xaacc170c, 0xf763327b, 0xa44e2f75, 0x715de385, 0xd11e323d, 0x0295a852, 0x2e278066, 0x2cc9631f,
+    0x2e1d8867, 0x104fc6df, 0x193abfe8, 0x4a1b3c20, 0x4852b750, 0xac823abc, 0x691d9759, 0x783b3cd0,
+    0xc5ca8f93, 0x6437ff7c, 0x32a92b08, 0x3321a9fc, 0xa0679574, 0x3b06eb71, 0x56eb9c92, 0xdf56c786,
+    0x215514f7, 0x8d9b3a33, 0x3941fe9a, 0x248e90c1, 0xf041e572, 0xe397d441, 0x7853478d, 0xc7df300e,
+    0xcac55f9f, 0x5bf00d27, 0x2be6fcb5, 0x49f2db7f, 0x50f99fb0, 0x08ccd975, 0x6c871667, 0x757d67a1,
+    0x664e7d84, 0x7a88e475, 0xd0b1f1e5, 0xaf824378, 0xe23a192d, 0x3bbfc80b, 0x67a689ec, 0x8f449ebb,
+    0xe34c72b0, 0x52cba695, 0x7283d1e3, 0x7d4a6e09, 0x1dbcba50, 0x9f1fd1e2, 0xd293ecbe, 0x0ec73eb3,
+    0x56fe2228, 0xbae0118c, 0x79ef9f84, 0x749d5a70, 0xe375cfbd, 0x2713ac0e, 0x1925e00e, 0xd61bdd13,
+    0xe56ccf52, 0xfcf2ffb3, 0x5fbc92f9, 0xbd6e5386, 0x22b4d05e, 0x85fc7f0c, 0x1be680fe, 0x8469769a,
+    0xcc40bbfd, 0x5eac8956, 0x5789c6ea, 0x87fb8f91, 0x854c91d0, 0x66bfdc31, 0x7fbf5406, 0xabe464fd,
+    0x85fc919e, 0xb47e1767, 0x4d60d5e7, 0x5ae12d2e, 0xd0aadeef, 0xf8c96e99, 0x494199f9, 0x4aa4d13d,
+    0xa08a6f76, 0xdd2ed986, 0xe27ecb9b, 0x82d77b05, 0xcb168c9a, 0xacee9a26, 0x0f6d037c, 0xbc706c5e,
+    0x0c483e99, 0x90cb058e, 0xdcb267c6, 0xc3f3dff4, 0x867f3c17, 0x03ee8629, 0xce01c1b0, 0x1d0ba3be,
+    0x0acdc3c8, 0x70504968, 0x544fcc18, 0x675ee374, 0xae50dfe7, 0xa9f5cf07, 0x2bc73343, 0x677b0994,
+    0x804b823d, 0x16a76ad9, 0xabff6b7b, 0xf1ad659f, 0xe5a8696f, 0xc658d129, 0x04fb83d8, 0x5f8b93f7,
+    0xffd20f8b, 0x8efc3d29, 0xd14f09eb, 0x24a9c99a, 0x6cb1a499, 0x543c2ab6, 0xcd976f28, 0xf5637fc6,
+    0x7e0bf628, 0xa6a5259a, 0x1cec5339, 0x7a3df561, 0xd62543ba, 0x0642f59f, 0x7c53577b, 0xac9ac1a2,
+    0xc5b96c8b, 0x6544012d, 0xa2105c4e, 0xb608c62d, 0x1cfaca4f, 0xcb1a0a4a, 0x1dc57570, 0xf74c03ae,
+    0xd61ab5f7, 0x0a426666, 0x1ceb17bc, 0xc53a7c5e, 0x286f2269, 0xf801f535, 0x3bef36ee, 0xfcada4d1,
+    0x3ac41347, 0x7d07266f, 0x73491cc9, 0x7ff2c0f0, 0x42cb47ce, 0xbd9fc691, 0x01ab9e10, 0xd66af333,
+    0x41ab4f4f, 0xe5069fe1, 0x2251b42d, 0x68a1f7c3, 0x9676170e, 0xf20659bc, 0xfaa8c372, 0x16fcdb57,
+    0x8ef64791, 0x99cdf76a, 0x3ed47343, 0xbd11a22c, 0x1de7cb50, 0xb1290cdc, 0xe9994dbc, 0x5c8cb8af,
+    0x6ad4827c, 0xbc65c5a4, 0x943ca236, 0x1039bb38, 0xf2fd3989, 0x7036cebc, 0x72ad18ec, 0x5b3af934,
+    0x49179285, 0xe1779860, 0xf304de51, 0x4d007ed0, 0x51c673dd, 0x59ee12b0, 0x5782d7fa, 0xf75133c2,
+    0x79aac2e7, 0x6443770f, 0x28794794, 0xf4fec2fc, 0x75b3c98a, 0xb7827c81, 0x71bb98a9, 0xc39c0b45,
+    0x630cc2ea, 0x7bbcedce, 0x727c1306, 0x02f9d8c5, 0x610ed2cd, 0xfa4d318b, 0x1142b2d3, 0xeb285d72,
+    0x88072f9b, 0x66e17c3c, 0x59e785a4, 0x9aa9377d, 0xf73ff38b, 0x568d0efe, 0xb7f8a54c, 0x108129bb,
+    0x57072437, 0x767b9c89, 0x2207d91b, 0xc6bb0328, 0xad3a8cbe, 0x7be7f5ef, 0xfecc9e4b, 0xe0b6b78c,
+    0x925bcac1, 0x9f114704, 0xf5cc9605, 0x26c1f214, 0x62461b59, 0xbf56acca, 0x9bf08355, 0x4e485251,
+    0xd67c6500, 0x7a2a2176, 0xec93a6ab, 0x62483b8b, 0xe7ecbdc4, 0x1c6a20bb, 0x3c678dc3, 0x19d8dbe2,
+    0x9b2b0484, 0x59bf820b, 0xa8619e41, 0x20ce849e, 0x9215481d, 0x004af352, 0x5aeaaa25, 0x85f4be8b,
+    0x71775231, 0x06c2dc8d, 0x3ad7c7bf, 0xf22388b5, 0x1f05cf5d, 0x65fe386a, 0x829a9bcc, 0x56932b02,
+    0x5d596ff8, 0xe07d3c01, 0x252da738, 0x3144faf1, 0x3f02e277, 0xd7d98643, 0x9b2da314, 0x4fdf77da,
+    0x9fcca3c6, 0x670ba47d, 0x29402ccc, 0x25a30aa7, 0xe02c105d, 0x00556e7a, 0xef86b7f2, 0x8b158c0a,
+    0x0fbf7d53, 0x22344111, 0xcd4890e2, 0x9b993d13, 0xac910550, 0x1d2eb584, 0xe42a91c3, 0x933379e1,
+    0xe2a20e94, 0xa9efdb07, 0xb4676811, 0xe722ca1c, 0x0b32b262, 0xe06ffdf5, 0x3c947014, 0xdb26bcf8,
+    0x3ba9c1bd, 0x3fb985b3, 0xfe0a37e7, 0x477bc6e1, 0x0c2c42c9, 0x5e490786, 0x7f83d0d9, 0x609bef57,
+    0x5317ef8f, 0xbb44796c, 0xf5628cf7, 0xda2fec5a, 0xec6c4190, 0x15a1e9d3, 0x58ddca58, 0xc94fc52a,
+    0x5c84725f, 0xdd1d8e9f, 0x7f6c6295, 0xaad8555e, 0xc14e5504, 0xd66fbc2a, 0x6eaa8b17, 0xba9b8cb0,
+    0xad4289bb, 0x69be64f9, 0x89e72335, 0x241723c8, 0x3d5f08b0, 0x78644e3c, 0x52fc9d20, 0x7b960b46,
+    0xdaaa19f1, 0xc3e4c1b7, 0xb8d474be, 0xd95eea49, 0xeeebdaf5, 0x627d8f45, 0x6cf088b3, 0x14756501,
+    0x0ef4b46b, 0xd5a747c2, 0x9be693b6, 0xf268e92b, 0x137fce6a, 0x341623fb, 0xefa7d697, 0xaa8b1a25,
+    0xd7d49134, 0x5f25833b, 0x19d37d1f, 0x912d9ba4, 0x0070f02b, 0x76b1f242, 0x37b16abe, 0x1480661b,
+    0x8fd96d5a, 0xff620810, 0xf2d1a666, 0x84613ae0, 0x52afb5c5, 0x84bf4b3f, 0xdcdbb6d1, 0x41f1ff2c,
+    0xf83751c7, 0x391a1a03, 0x217086c3, 0x55b9ce3a, 0xc70402f1, 0xf7e79f57, 0x0400090e, 0x3eff15ff,
+    0xb18ea15e, 0x9e0eeeaf, 0x21f9576a, 0x5552190b, 0xbbd1740e, 0x67f3d73d, 0xac45c1b9, 0x71168a11,
+    0xff6f6c03, 0x7df4edf6, 0x34ff111b, 0x3edd8934, 0x6d284120, 0xf16ed28d, 0x33b38385, 0x0526bc95,
+    0xa6aa2682, 0xe52c8b69, 0x9fb5bc15, 0x27571ffb, 0x767cb332, 0x7a5df70d, 0xc0e8ef35, 0x95603943,
+    0x9c146c2a, 0x5268d948, 0xbc01f5ca, 0x6da0f10b, 0xeff2fc5f, 0x00c73a59, 0x18141561, 0x2f69acb2,
+    0xa24b4ab1, 0x30e8e37a, 0xcaae5dfb, 0xa31c52df, 0x520beaa6, 0x4807e6b9, 0x7a3c1a7a, 0xe3599553,
+    0x9862e3ee, 0xa90596e0, 0x7b85bc06, 0xd530a8c0, 0x1f0e5350, 0x43b1d38e, 0x99892ac5, 0xacb0495f,
+    0xee5a669a, 0x25412b00, 0x0499347a, 0x980d469a, 0xd6161a0d, 0xcebfaa89, 0x328bca82, 0x12a47f38,
+    0xbf9dab0e, 0x4cebdce3, 0x2714211e, 0x7d7a209f, 0xb9e6d5d2, 0xcf297a6e, 0x0eb307eb, 0xffede6eb,
+    0x9a639a9f, 0x7415b5ff, 0x1f9bd5ad, 0xf51091a4, 0x5321264f, 0xb4dd9a06, 0x4ab9168f, 0xe9616e87,
+    0x3edb4425, 0x53813025, 0xfa8a165a, 0x9109c403, 0x4d445e78, 0xe1a191b9, 0x16227fd1, 0x683b56e8,
+    0xc4f0b963, 0x5ea6b95b, 0xb741ce7d, 0xeac41ba0, 0x0b86f790, 0x46aeadf9, 0xe0e1fdd8, 0xb497cb3b,
+    0x711f3095, 0xc3a32308, 0xb5efab96, 0xda4b4dcd, 0xfdf7692a, 0x63c7dd47, 0x6deece01, 0x86b573cc,
+    0x0f2620d4, 0xbb5a251f, 0x08a02224, 0x96b9045b, 0x88e050db, 0xda376f26, 0xa14d8454, 0x84aff45e,
+    0x7c50978d, 0x970a6a26, 0x44bb3fc1, 0x97207095, 0x44a5534a, 0x40d5779e, 0xc0151034, 0xb4b7ed07,
+    0x8c71db8a, 0xdff54038, 0x42580593, 0xdf6a193b, 0x4719983a, 0x9ba14c01, 0xb042c1f2, 0xa7ce2b1f,
+    0x4ffb6697, 0xeeea2f87, 0xa8785032, 0x8677c3b9, 0xc40accc6, 0x2a931758, 0x101bf9f5, 0x1e593719,
+    0x39fdef90, 0x19c0c41f, 0xfd7ef250, 0x0578a023, 0xe0f3e972, 0xeec5eee5, 0xcf961d27, 0x9496abe4,
+    0x00000000,
+    0x34f09799, 0x000001a9, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000549755813888 */
+  { 0x00000000,
+    0xb92d12ff, 0x8c975f19, 0xf9cb5806, 0xee787a06, 0xeee4fbf3, 0x9e456dcd, 0xfbf172ac, 0xc869f35f,
+    0x32f7e3ac, 0xc63efb28, 0x97628be2, 0x5514ac28, 0xb3faff41, 0xdad696ff, 0xec47ff12, 0xf7041485,
+    0x5a6fe1db, 0xb7adaf02, 0xbabdb4bc, 0x4f5f3a05, 0x44ae4430, 0xb0dad099, 0xc082d938, 0x42783fed,
+    0x81f9671d, 0xb6c06db8, 0x40a9d479, 0x0f83e375, 0xe0f90e73, 0x45a3ecd7, 0xb7d64910, 0x154132c6,
+    0xa3b690ef, 0x12c1addd, 0x5062580a, 0x58b6b182, 0x49e91496, 0xb42e9617, 0x4a4e1b7b, 0x9a3d61ce,
+    0xb9cab906, 0xe1ee8f93, 0x3dc9ba64, 0x28c0c1b4, 0x946af26b, 0xcfebaf5f, 0x01ef7cdf, 0xb005edd6,
+    0xcb1d333e, 0xfdaa998b, 0x3de381a2, 0x691b90c3, 0xec70bd6e, 0xf078b177, 0x3cf765a3, 0x4b4025a5,
+    0x20e81137, 0xdbd9a5d7, 0x4a744692, 0xbc1047f2, 0xea998c40, 0xb487e891, 0xdecb54d2, 0x3444aa79,
+    0x4ce2d2ea, 0x5b4c9ad2, 0x86f10bfc, 0xf4da7004, 0x95c4a87e, 0xce923de0, 0x040bffd3, 0xd13fe6af,
+    0x0fd39645, 0xeedd013a, 0xf58b7145, 0x90097568, 0x2285522d, 0x4d7d9957, 0x1f6db3e5, 0x0d5b7e5b,
+    0x90b729af, 0x733229f0, 0x86edb921, 0x80d35d64, 0x553e9a6e, 0x70e32565, 0xe058db4f, 0x36e88fbe,
+    0x5af970c3, 0xa5287320, 0xf1723ba2, 0x94fcb065, 0xd92d653e, 0xa3ed2dfc, 0x1cbf5c60, 0xe271ee57,
+    0x8d78c62e, 0x84ae1e67, 0x0ee55526, 0xb7c85c90, 0x138143e6, 0x87ee479d, 0xab2a8ea8, 0xed29a5c3,
+    0xc82929f1, 0x5c5ee186, 0x377cb538, 0xc404d192, 0x53eacde1, 0x9fffba99, 0x672823a7, 0x483b9069,
+    0xa2de575f, 0x330b3843, 0x109cc5b9, 0xefd973a8, 0xa8c56efa, 0xf9f0bd74, 0xef8b0e34, 0x2e337177,
+    0xb801dc95, 0xafef3d99, 0xeaa6cab5, 0xcd695ef9, 0xf8ce6db4, 0x5c38bbac, 0x37ad4637, 0x9db5ff99,
+    0x4bd95c15, 0x18cb9402, 0xcfd2c8f8, 0x5a834cb5, 0xd9de4cfa, 0x385e6487, 0x8cc96846, 0xe5a53494,
+    0x4cdfd53f, 0xdcc335d0, 0xbf2cfed1, 0x49e9db2a, 0x1abbf581, 0x13a07d60, 0x2c488549, 0xbf537f7e,
+    0x04329f5a, 0xdff40507, 0xb77fe1a2, 0x6a822805, 0x173c5050, 0xbc565969, 0x123fda77, 0xd4eaf1fc,
+    0xcf170074, 0x3ee16f78, 0x896a214d, 0x2c28660c, 0xe4fb3c85, 0x2ef67ad0, 0x3eb45a57, 0x2613accb,
+    0xcb654dcf, 0x07dcebe2, 0xfa24b482, 0x424a4a69, 0x6f7f04ab, 0x17638288, 0x7e45b5aa, 0x12e4f318,
+    0xe9a33d76, 0x2b32b70b, 0x47eed041, 0xbbdd3611, 0x0c5d06cb, 0x537a16da, 0xcd9cb3cb, 0xac3f1be9,
+    0xf4ba2b6c, 0xfc7b1d4a, 0xb1130751, 0x578135cb, 0x3847a348, 0xed28ab7f, 0x48f3ed9c, 0x437099c4,
+    0xbc674751, 0x04cf5ecb, 0x7c682497, 0x4ffde908, 0xf48582a7, 0x134a7e6f, 0x07574c36, 0x409beb09,
+    0x5baafd65, 0x15ee786d, 0x84f75257, 0xe4d0e23c, 0x84a27042, 0x1e139a7b, 0x15481fec, 0x0838de33,
+    0x72525d50, 0x53792435, 0x648ae8bd, 0xb90d9a61, 0x88047dfe, 0xa2cf677b, 0x559df6e3, 0xe0313a89,
+    0xc262a987, 0xc525d246, 0xce35076f, 0xadc6c4c8, 0xacacb16b, 0xc8596c7f, 0x19a63c65, 0xf1953cf8,
+    0xf14ca613, 0x25e15707, 0x0a57a1d1, 0x8654017e, 0xf46611fe, 0x0d126244, 0x1cad6f41, 0x3725c86e,
+    0x0579fa59, 0xba743a58, 0x133f93c3, 0xc89c032a, 0x436aba2e, 0x887b024b, 0x18e8651c, 0x982017c6,
+    0x77cb9c5d, 0xf34ab2a7, 0x05c988eb, 0xb9788ff2, 0x8851da95, 0x5ddcd071, 0x7c1f7f8e, 0x766c9d4b,
+    0x9c10dacc, 0x4aa12897, 0x291dfa27, 0x5955809d, 0x5acc8844, 0x4e0c770d, 0xafdd56f5, 0xd4b3422e,
+    0xc87a45d3, 0x2ad26379, 0xd63ff9da, 0xbf495671, 0x0c9cae5b, 0x2035d8c9, 0x1bbf4cdf, 0x4b4dbdfc,
+    0xa991c33a, 0x6f3c2434, 0xd2d6ac02, 0xa9f99027, 0x6879d124, 0x94f5603a, 0xbec4c0c4, 0x4da00477,
+    0xb85fb5ef, 0x0b991530, 0x3488d884, 0x83ff0317, 0x862d31d4, 0x9af945e3, 0x6749ef72, 0x372f0339,
+    0x3974640a, 0x1d676f9b, 0xce4de965, 0xa80e24cf, 0xf8f14bd2, 0xd559a2ac, 0x5027b313, 0x97c1bdb3,
+    0x4f757439, 0xb93fa84d, 0xbeed6799, 0x48ab0dbc, 0xf2518409, 0xff345d9a, 0xd83e0af9, 0x9f63cc68,
+    0xaefc0450, 0xb0580594, 0xbe4a965f, 0xe19aca1b, 0x6ac7d9dd, 0xe558cc3a, 0x47aa90cb, 0x13add624,
+    0xae4ebf22, 0x03b27562, 0x51d3e4d6, 0xe73b46b7, 0x4ae8946f, 0xc0b7cf60, 0xeceeab83, 0xc98bf345,
+    0x718c3c93, 0x698c4e7c, 0x8a43ed77, 0xfb364c5e, 0x6229a43d, 0xea125ca9, 0x7c8d170f, 0xca386651,
+    0x6db6d5ff, 0x74376a11, 0x90b961ee, 0x5d7f2a70, 0x1de20834, 0x1aa03cb1, 0x8896c67f, 0xdfd595c5,
+    0x001b5ff8, 0x885392ab, 0x53e5ba61, 0xc85302a9, 0x44c59391, 0x1c6809a2, 0x37a11a07, 0xf73eb18b,
+    0xf0ca2d08, 0xd4e1e9a6, 0xdd99e13e, 0xb8c15bf1, 0xf6a4bab2, 0xad22f535, 0x49ba1945, 0x87c0fcb0,
+    0xd2c740b3, 0xf1e376e4, 0x2524c6c9, 0x09173226, 0xf8cb2a70, 0xd35853ce, 0x94c4bc62, 0x0e772024,
+    0xb0d0f369, 0x26e86fe4, 0xfa0970ee, 0x7361fcc7, 0x3e5714f7, 0x5decbbe6, 0x375d0ba6, 0x7ee1426a,
+    0xdda331da, 0xb150e650, 0xc117ed82, 0xb86ef857, 0xde0ce52a, 0x1b7c468d, 0xae98a6ad, 0xc5f1f5ec,
+    0xa4a71133, 0x116d4478, 0x79f60e0a, 0x7189248a, 0x27481554, 0x2fa53f55, 0x3734812d, 0xf35b9141,
+    0xc5beeb02, 0x502ac488, 0xd3e3ebca, 0xf0cbaee8, 0xd8eed026, 0x5758e13f, 0x4a8c3dc1, 0xbbbeec7d,
+    0x9be225d0, 0xa8e04cbb, 0xe82bfab7, 0x3f5b7ff4, 0x0ad7d237, 0x3102c45d, 0x4d00281d, 0x1388b739,
+    0x401300fe, 0x07861c2a, 0x050401f7, 0xae568f4a, 0x17b10b3f, 0xd8c475d5, 0xe91bbffa, 0xbaebb33f,
+    0x8528d9da, 0xdceb110e, 0x0e5e5957, 0x6677c4ac, 0xef407ec6, 0xcf733c85, 0x4e513b96, 0x1ff6c4c7,
+    0x5ce6f563, 0xd5b29371, 0xcb4026d9, 0x7f0c0e7f, 0xc531f9e0, 0x3ed01216, 0x8561e21b, 0xe4b9ba4a,
+    0xb2cda0ff, 0x8e2225b5, 0xdde08649, 0x88097298, 0x72eecd45, 0x3cb282dd, 0xe2289129, 0x9c98a951,
+    0x90c2ebb8, 0xdbf3eb76, 0xadd6dbcc, 0xcbd4744a, 0x7b8dfc14, 0x2a4af665, 0x98edba3d, 0x35b2eb29,
+    0x406053f8, 0x271999d8, 0x553fbf5c, 0x321201cb, 0x7caf54d9, 0xaaee43ec, 0xecaf4ef2, 0x58297665,
+    0x5718b6f5, 0x811e29e3, 0x3572a78e, 0x67c8c54e, 0x9803e480, 0x202cfda4, 0xfbee9fb6, 0x0bee080f,
+    0x2ba1d47f, 0xa476332f, 0x44a92f7f, 0xc2db3cc2, 0x4f7ae649, 0x7294e4b0, 0x484c9bdb, 0x318a2649,
+    0xe0544741, 0xf5034ec6, 0xb697da4c, 0x3ef18717, 0x88578b57, 0x99a9a468, 0xb8280eee, 0x9539e1f1,
+    0x02a613e9, 0xd337bec7, 0xcb046d1d, 0xffb67dbb, 0xfc38d494, 0x026974d0, 0x63bdde37, 0x74e73060,
+    0xdf525b15, 0x65ddb44a, 0x4db3f33c, 0x68c9a4a2, 0x484032ec, 0x5ccfc37a, 0x683da7f7, 0xec231382,
+    0xac2296e7, 0x85c473ff, 0xafa4263b, 0x6b45575a, 0x424160ea, 0xb270be76, 0xe7622631, 0x3992a0fb,
+    0xae4d9e58, 0x72e66c73, 0xea87f3b2, 0xdb26414a, 0xdc7e8219, 0xab7b100b, 0xba56859a, 0xbdbf7210,
+    0xf407f30f, 0x66d1b9df, 0x3648cf26, 0x64c1d51e, 0xcbd079ee, 0xb959cf25, 0xe51491b6, 0xa548934c,
+    0xd461fed6, 0x4b65fc89, 0x9979ad25, 0xa3dee328, 0x634a3c2e, 0x655b29e0, 0x749b9042, 0xfedb18d7,
+    0x3a338277, 0xb29d491e, 0x25b5c327, 0x11b70182, 0xd33da530, 0xafe9b3a2, 0x9af08bc6, 0x1e99ca2a,
+    0xb993e24f, 0x815dfdb2, 0x67952009, 0x8e795ec9, 0x96bfc7a8, 0x76a06cd4, 0x1d8711c9, 0xdd33cd8b,
+    0xc86f00e9, 0x328ef2e8, 0x237905a5, 0x5f6274b1, 0x31227cab, 0xfe65908b, 0x090163b7, 0x85955f0e,
+    0x00b969c8, 0x6b2bf8f6, 0xf7c386c8, 0xc280544b, 0x1e73ab76, 0xedcf6385, 0x03d53067, 0x0440c491,
+    0x2632d550, 0xe3098287, 0x67cee138, 0x0a25978d, 0x308752b8, 0x6ed08de9, 0x47ccc5a0, 0x646c9730,
+    0x3fcf1018, 0xd42bed0b, 0x8bc13963, 0xfbd3391b, 0x5a23b5a2, 0xe0fa875d, 0x24141cc0, 0xff140f3f,
+    0xd192079b, 0xdf8fc0bb, 0x87e5c750, 0xabf7d9ef, 0x0cd70213, 0x8add7181, 0x8d80aa54, 0x847fab38,
+    0x8fb7fa59, 0xe173877f, 0xd3093d26, 0x3f875349, 0x6513fee9, 0xc42b8abe, 0x0c63e3b7, 0xcc6064c7,
+    0xeb728755, 0x5bf28687, 0xf6285639, 0x6674d7d5, 0xf7ef91aa, 0xf93264d0, 0x1d6e9619, 0xa0c6d881,
+    0x6446a72e, 0xc55c6f59, 0x0eb44a7e, 0x7d004562, 0x2f316a8d, 0x3eab3deb, 0x22f6d836, 0xf157b186,
+    0x9c2b53eb, 0xec0d67d6, 0xdfeb0161, 0xf319048b, 0xfc64d52e, 0x3e247d5e, 0x5cccec5b, 0x8157ede3,
+    0xf3bd9e0e, 0x2173e6b9, 0xb4611eb4, 0xb8d412d9, 0x074431b4, 0x0b30ccdc, 0x2d6edf81, 0x09393999,
+    0x07a83e04, 0xf133cc8d, 0x12f10a73, 0xbb31d4a2, 0x91cedd9a, 0xe4c88b7c, 0xe399fc2b, 0xb31cb450,
+    0x14d084e3, 0x03aa101e, 0xe325a040, 0x427a6600, 0xf0dff147, 0x63e7f573, 0x359ffd87, 0x85b76b5c,
+    0x02ed7c62, 0x7353667b, 0xd67ce037, 0x88775603, 0x3eefebd4, 0xe87f8ac4, 0xf4a55ca9, 0xf87a531d,
+    0x2384a4ee, 0x6e53e7a7, 0x76140786, 0x92ae0cec, 0x54d8517d, 0x2796ac24, 0xd2a325f9, 0x3d256095,
+    0x9229e550, 0xec76c36a, 0x3e1c1fad, 0x0c02e501, 0xe75800fd, 0x06e6221d, 0xfd1575d9, 0xdbb1f273,
+    0xc94fc782, 0xd00c4877, 0xc0b7f8d2, 0xbd4a5909, 0xedaa0336, 0x7d24cf23, 0x4462d741, 0x3a628284,
+    0xd586ea09, 0xa5677a11, 0x0322db6e, 0x4ad99d63, 0xc8ba05ef, 0xc0770ac3, 0x980f0f92, 0x82eb0842,
+    0xa752e03b, 0x96a0f62f, 0xc6cbfd05, 0x22fe5231, 0xd2b01219, 0x8031d6c1, 0x82f9f777, 0xad6a71b9,
+    0x0de669fc, 0xf8a9c548, 0xa2100258, 0x562483cc, 0x61795b24, 0x68628f45, 0x8660165c, 0xaaed69fe,
+    0x226d7e10, 0xbf92897d, 0xa7527c1c, 0xfe405f0b, 0x694d13ba, 0x0cadff0b, 0x859c779e, 0x434c0b6a,
+    0x78319d31, 0x3bd83a3b, 0x9369d9ca, 0xaae8108d, 0x8770bae8, 0xa7333251, 0xd034a514, 0x771c30ce,
+    0x95bec1d4, 0x3e1d4b9e, 0xb16b3ac7, 0xe01af616, 0x92f87c58, 0xc4b83b32, 0xecdd6051, 0xbd4b41fb,
+    0xdb361a9c, 0xc3712f9b, 0x16301627, 0xa9f53cc6, 0xee535cbe, 0x736efe4f, 0xe4b82940, 0x737bedbf,
+    0x7fb3e27c, 0x88f6ec77, 0x8d84e112, 0xff77d4ed, 0x9ef9ffb7, 0x6655487c, 0xdf5b56cd, 0x3cd4ab12,
+    0xbb7d0125, 0x7a421730, 0x97ccac12, 0xc0e4740f, 0xcd47ee03, 0xbfd6d01e, 0x3716f1ce, 0xa16a9cf1,
+    0xa6fa7ffc, 0x2568c643, 0x786d2479, 0xe5d603ff, 0x4f1ee45d, 0x4ef94472, 0xd9ddcdac, 0xf370567d,
+    0x96b48d7f, 0xb24aaf1d, 0x31b3e86d, 0xc3fc6a17, 0xdcacded4, 0x4cb99dd4, 0x52512241, 0x7826ff0b,
+    0xced87411, 0x0cb71ea8, 0x9d73e89e, 0x9a36cfe4, 0x043cadab, 0x83c0139c, 0x50dfc280, 0xe41d0482,
+    0xc60f3c2f, 0x6788b5f2, 0xf46b0aa8, 0xd118b048, 0x45252db4, 0xca01c64e, 0xe3f5f365, 0xaa2cc364,
+    0x026a5316, 0x1d347b40, 0xf345f4ec, 0x8b8a8807, 0x6eead026, 0x82e7fb93, 0x2392e130, 0xf1746084,
+    0x76b04307, 0x1f5df695, 0xbaa523c4, 0x320c73e6, 0x0cc3963e, 0xb404ab48, 0xa13bf77a, 0x7acb4941,
+    0xf109b7e9, 0x95850627, 0x36e57870, 0x749c7624, 0xc3f7814d, 0x7b8dd042, 0xd724335b, 0x242a43e8,
+    0x9405d60a, 0xa0f3fb1e, 0xab1c9d77, 0xf8715d85, 0x9194774e, 0x661bebf2, 0x0d3bb94f, 0xa77260f1,
+    0x3ffdda6d, 0x8c5f01a4, 0x18150846, 0xe0e55212, 0xe2a3be8e, 0x6b341b89, 0x506d54fe, 0x4018b4fe,
+    0xee470f50, 0x5d6e1cad, 0xcef317cd, 0xcb5eb83f, 0xb270697c, 0xeb5b14df, 0xdbb93069, 0x12724d4d,
+    0xf5299313, 0xa2441ce8, 0xb018d309, 0x8713a468, 0xf49fdca2, 0x058641c6, 0x40dcf5e9, 0x8c72a61f,
+    0xc104ee42, 0xb5ee05ce, 0x4dd72ef0, 0x24ef71de, 0x7190bd60, 0x72504168, 0xee864fb2, 0xd4901217,
+    0x0079a120, 0xa2b703f0, 0xf2157491, 0xb10a5f50, 0x6417ec16, 0x33a458b0, 0x698b7eac, 0x84bf9fe6,
+    0x740b2b25, 0x7624c7c9, 0xf6fa4339, 0x70868937, 0x057f6df2, 0x6991684f, 0x8fc5694c, 0x2157b194,
+    0x2d453d88, 0x3c4ea216, 0xdd8f8be2, 0x20d33ee9, 0x138e8499, 0x966f8020, 0xb07d9c6c, 0x8ad33a2d,
+    0xae47b97b, 0xe704fec5, 0xf1f929bf, 0xf1e58d0d, 0xc6b246eb, 0x6ed95f96, 0xb7db596f, 0x319d1120,
+    0x1e8492f6, 0xb6ee2fe1, 0x1c25b580, 0xe5cc01b3, 0x31bb0958, 0x33767dd9, 0x448b7adf, 0x1bc73a55,
+    0xbd68cc37, 0xf09c3a2f, 0x3193d2e3, 0x3d5c9522, 0xb4ff3caa, 0x0589e270, 0x1643f12b, 0xb2a903d2,
+    0x37f97fcb, 0xe11e3bb6, 0x8a4809b3, 0x39c1ff36, 0xeed8cd0d, 0xe15346ba, 0x0edcd577, 0x50392c2f,
+    0xb650a509, 0x42463bcf, 0x57555452, 0xeb79c2c6, 0x6e757855, 0x488a0f82, 0x52535cb3, 0xabd73014,
+    0x7fa9f55d, 0x77408fef, 0x4ff5c669, 0x8d5ae486, 0x0c8741f0, 0x9d922605, 0x7420cf15, 0xaabe2527,
+    0xf6fc2496, 0xe49aa9ae, 0x508b6d6a, 0xea06276c, 0x5bcf2cf8, 0x8e31d2c9, 0x4f9f6769, 0x1deae9f4,
+    0x5b9d9db3, 0xa6b8f3ea, 0x26ab09f3, 0xef0dcb15, 0xb51eb293, 0x635da2cc, 0xb18c0218, 0x309682e5,
+    0x69d066c9, 0x680a529c, 0xd02fbaa4, 0xebb574a0, 0xc7729dc4, 0x44a2d866, 0x1b08bb7b, 0x31d104a4,
+    0x61c01b89, 0xbb19f95c, 0x32ad386d, 0x78b52eef, 0xf5f774ac, 0xb2d878dd, 0x79838ac7, 0x51e084b1,
+    0x7dcdecc0, 0x523c1c27, 0x091cbd58, 0x7a0e3a18, 0x22d7faa3, 0x29a82654, 0x39e34eae, 0xd495296c,
+    0x2907e6ee, 0xf43a7160, 0x24e243a2, 0xcb671947, 0xe20994f4, 0x0aae5577, 0x4a4e4800, 0x41c0260b,
+    0x17c13d26, 0xf5df778a, 0xc60cf9cb, 0xa872abdd, 0x356dc094, 0xed34cf5e, 0xbd9143e1, 0x6ae0c19a,
+    0x425e9573, 0xcb81d43d, 0x6d5a69f4, 0x5ed01867, 0x5a5e00e5, 0xa6062a7b, 0xceb4826b, 0xe85aadcb,
+    0xec0f82dd, 0x690230d4, 0x71c629b9, 0x37a27671, 0x1b360a82, 0x7d6ec41e, 0xbb783a99, 0xb6a6154f,
+    0x48826777, 0xeced9c83, 0xf27fa09c, 0xf893440d, 0x757300cf, 0x50b3ff08, 0x09f4d4b1, 0xd9ef12b1,
+    0xed9534db, 0x232aa4a5, 0xba90407b, 0xc7f3d450, 0x762fc126, 0xc4dd40fa, 0xd657e217, 0xf588fcb6,
+    0x72366ede, 0x1b8b28ba, 0xbdd0ec3d, 0x956921b1, 0xf031bcc1, 0x2d1e6bbd, 0x37529802, 0xf3ee4a2c,
+    0x3af578c8, 0x0a37c00f, 0xdb1637e7, 0x7fb8707e, 0x7d844e58, 0x387023e7, 0x6fde6870, 0xe24c4d2d,
+    0x33e02346, 0xd1989aa2, 0x347114df, 0x55ca8e1f, 0xed5e7540, 0xbf60f739, 0xa931fbe8, 0xc5fc3b3b,
+    0xa44d954c, 0x7a16d7f4, 0xa8b4bf4a, 0x1e6384ed, 0x9e32cbd6, 0x54d16e47, 0xeb1f5197, 0x89e91d96,
+    0x00000000,
+    0x9a784bcc, 0x000000d4, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000274877906944 */
+  { 0x00000000,
+    0xad63388f, 0x7960e6ee, 0x3a13b90d, 0x5a026db8, 0xf6512397, 0x04b89d69, 0x05d6e25e, 0xd94381a2,
+    0xb886e8b9, 0x090f8308, 0x818304e3, 0x860f6863, 0x061f9d28, 0xcf75283c, 0x0bee86bc, 0x2f8b7b2b,
+    0x55c5aa2d, 0x8f5e541b, 0x94c47322, 0xf6adbad6, 0x9975b9c0, 0x44679e2c, 0x5b66f238, 0xbda06b7f,
+    0x7c474860, 0x2553fd46, 0x58b89aa9, 0xd4353046, 0x6dedfd80, 0xc51dfa98, 0x4c11953a, 0x39060f98,
+    0x1f731729, 0x77d40542, 0x7498c618, 0xded80c4e, 0x07912714, 0xe557d603, 0x33687c9e, 0xedd06ec5,
+    0xc91cdca8, 0xa0f72519, 0xb6755b08, 0xdd1c23f9, 0xa75616bb, 0x08e8bbb0, 0x7916ebe9, 0x6d3b5920,
+    0xf9310aad, 0x3bcd6e62, 0xd66f9df1, 0xac7286da, 0x81ccdbd6, 0xc3c52f28, 0x8d797607, 0x4c9ce259,
+    0x60545090, 0x74c06e05, 0x9296ee15, 0x039abfb8, 0x7e089c8c, 0x5f463756, 0x29eb0bd4, 0x985ba688,
+    0x7d784175, 0x3ff4472b, 0x11655148, 0x4682dbc3, 0x32b0f594, 0x78a6ebda, 0x1cba601c, 0xb4abb44a,
+    0x3e15dbda, 0x1dec483b, 0x8c32aaf4, 0xd0a3ba50, 0x98805e03, 0x5e7219ae, 0x311fd0f0, 0x86c1c2da,
+    0x86345c81, 0x49d7f856, 0x2ba075b6, 0x351db4e4, 0x880d64aa, 0x800a5b93, 0xb1dc13b6, 0xd8df5780,
+    0x1fbb1cf0, 0xc64621de, 0x63f44adf, 0x6cfd0185, 0x7fe079d0, 0x06f956cf, 0xb2d29199, 0xb7fb645f,
+    0x2d893a4c, 0xa1fe8d97, 0x6e950a8f, 0xb4612538, 0x75777902, 0x40f1a005, 0x7887066c, 0xbcfaa42a,
+    0x79784c3d, 0x7f58c084, 0x27438c89, 0x5082059d, 0xa537154a, 0xe8a89f1e, 0xc163b724, 0x90195e39,
+    0x7af1f157, 0x51fcf959, 0x7a70a943, 0x47b7620e, 0x462638e9, 0x720ced50, 0xf004688d, 0x1069cb79,
+    0xc2e1d851, 0x9db0d44d, 0x02512acf, 0x0719aa41, 0xb1844767, 0xfbec906a, 0x3053eaa2, 0x3fa14b16,
+    0x04a15e71, 0x4bfeee92, 0x23ac4381, 0x0eb6515d, 0x216672eb, 0xdbf56ec0, 0x101ccb88, 0x0a407bfb,
+    0x963b9b14, 0xe3c70703, 0xf75fc348, 0x4aa2507c, 0x404a852c, 0x5df8489d, 0x95d463a9, 0xa57e6a9b,
+    0x4a4c10f2, 0xf0ae1fc0, 0x6dc504f0, 0xbbf5ddc0, 0x47083740, 0xe2856084, 0x19bcc252, 0xddb0c6bf,
+    0xc4404880, 0xca9e204b, 0xcf1c27c5, 0x22ad0284, 0x4d8f07c4, 0x800109c9, 0xd1fe6053, 0xae6efee4,
+    0xdfbf8ef3, 0x70b6b290, 0xf31cf565, 0x7161fd9f, 0x258d3488, 0x69dca7b1, 0x8ca13577, 0x85fa39de,
+    0x9b0078ce, 0x8bac9c1d, 0xfb01f464, 0x7398c6ad, 0xe2afbd37, 0x34b7bad3, 0xb0bc1660, 0x69ed9e26,
+    0x826ae3ed, 0x18e06279, 0xda3d4fc8, 0x806587d5, 0x23cb084a, 0x97326790, 0x33d8a116, 0xa3cbb8a7,
+    0x29591916, 0x8fdeb5d3, 0x8d477dd1, 0xfba3150b, 0xc4ac4fef, 0x2a7890e4, 0xc305204c, 0x4e5f7ed3,
+    0xb9a41edf, 0x6a6c07f5, 0x5af47923, 0x80af6593, 0x804e87eb, 0xd7fd8eb2, 0xf4ef5bf6, 0x19fc69c0,
+    0x2025c3d3, 0x6c2b5268, 0x344befba, 0x986707cc, 0x65286b23, 0x9ffbee57, 0x6db304b4, 0x3066473c,
+    0x3aa4414e, 0x13175d02, 0x3d37de9d, 0xaf3d2ec1, 0x60531102, 0xa02e02e7, 0x652d38ab, 0x5ef0c544,
+    0xbce75221, 0xa33b83b7, 0xdd3f2109, 0xfb958688, 0x623ce511, 0xda99d199, 0x5f54421e, 0x4fe60310,
+    0x0a863095, 0xc78859e1, 0xa2eae14a, 0x9e2822a4, 0x868cdca5, 0x11909dc1, 0xb9c492c5, 0xe3ab3525,
+    0xfa108ebd, 0x41d418a3, 0x2be5015c, 0xf1652e5c, 0x54bc9334, 0x29fea832, 0xd7cba6ef, 0xa7f89988,
+    0x7c6905b8, 0x13b6353b, 0x0aeeebe3, 0x45a74855, 0x493f1481, 0x28f908b3, 0x3ad6b322, 0x7beda5ea,
+    0x6e7fc532, 0x47869c7e, 0x59e64392, 0x94a92098, 0x41b18c9c, 0x137a308e, 0xc21c018d, 0xae8991aa,
+    0x22088124, 0x136f0011, 0xf94bc998, 0x2c5eeb26, 0xf0c57bf7, 0x2a3f22bf, 0xa70dfc83, 0xb4edd081,
+    0x58f18a24, 0xc7d37b88, 0x8adaa759, 0xcaf09113, 0x3a570447, 0x2d714796, 0x47e7d677, 0x1bdbd072,
+    0x70bd1edd, 0x63838455, 0x48ee03ab, 0x85798b5a, 0x2b858753, 0xbfc9020b, 0x06882f2e, 0xd05c5e0d,
+    0xcbbbe4bc, 0x9ce36f33, 0x1a5ec5d7, 0x97c87615, 0x421ffa21, 0x5f4940d6, 0xd04971d4, 0xfcc0df88,
+    0x61ca1350, 0x32019ff3, 0xc41f2a78, 0xe27ed6d5, 0x95b6d01c, 0x5b0105ae, 0x380aeb0d, 0xa3f5a55e,
+    0x1fe1f5f9, 0x883aa7d6, 0xd84961cc, 0x2e004f81, 0xa8987640, 0xf04262e5, 0xc9d4b7eb, 0xfa6ebb99,
+    0x36c91ca8, 0x829095c2, 0x9efc8727, 0xae5fd989, 0xe12b7e4e, 0xfb9952ef, 0x46e10ac3, 0x504a7312,
+    0x71a3fcc1, 0xeb551899, 0xad6ca624, 0x0cb14f08, 0x40c57307, 0xabe2c8e2, 0x0165ffc0, 0xfd8befdf,
+    0x0e5bb4d2, 0xf91d785f, 0x822a4290, 0xe5da9864, 0x1c89dcd0, 0xce58920a, 0x9785ad40, 0xca61c219,
+    0x673e17b2, 0xc8548dbb, 0x38ce8b03, 0x7fe0c5ad, 0xe94e64b5, 0x5f4ef782, 0x7f577551, 0x302ac8dc,
+    0x0708bc9e, 0x89d8730a, 0xf154af36, 0x9c9ccadc, 0xd717a55c, 0xca23c5a7, 0xf3ce297f, 0xd8c0c5f9,
+    0xabe0a69f, 0x1ee398b2, 0xee63d1bf, 0x20055823, 0x10730a24, 0x9637e9c5, 0xdd053d1a, 0xdc8113a7,
+    0xaf0a2b02, 0xd0f0e6d0, 0x64e36c06, 0xe9d0a28a, 0x9f2d2085, 0xbaecba5a, 0x14ccea76, 0x19e8449e,
+    0xc025bfa3, 0x0f295cbc, 0x7da3d439, 0xb1c4c72c, 0x23457d30, 0xe6c6899b, 0x5839980a, 0x41b103c9,
+    0x1de6a9c0, 0x5db09481, 0xa37c97f4, 0x52f5892c, 0x1ffeab89, 0x8da3dcf8, 0xd1a24aa8, 0xb4d7144f,
+    0x12b3a615, 0x7f581420, 0x1611abe5, 0x9a85f707, 0x09db8ce0, 0xb6428248, 0x89ca5472, 0x78b5ac5f,
+    0xcf7d76d1, 0xea32f103, 0xd9a0eb96, 0x3950e3c1, 0x753513a0, 0x972848fa, 0xdbff9a1c, 0xb59a8264,
+    0x9781e16f, 0x42ad0b7b, 0x2f6a08ff, 0x26735066, 0x76688a35, 0x3b2b5f2d, 0x9d3e7c8b, 0x96b8e531,
+    0xba99f9f1, 0xcc9c7931, 0xc77e3102, 0x9dcd4e05, 0xea78a6c4, 0x5c4786ce, 0xf330df63, 0xb0f66da4,
+    0x1d929ed5, 0xb2bdcc69, 0x751058b1, 0xb63ece31, 0x3accdf76, 0x69fcbbd6, 0xe0d33295, 0xef2293b5,
+    0x91a693a4, 0xb2b5153c, 0xac1947bb, 0x334e8b96, 0x613723eb, 0x085bd634, 0x5165d2ca, 0xc62c49a9,
+    0xf2fb4c69, 0x78eaeea3, 0xd8d4c68f, 0x82d749f7, 0xfd1fa986, 0x0362542c, 0xafdcb38b, 0x55c8bc7f,
+    0x1f6f8cdb, 0x8629c1f5, 0x8b295bda, 0x8f55085c, 0x05c0b3b1, 0x0630da5b, 0xaaed85e7, 0xeccd5fbf,
+    0x3a323075, 0xb210d056, 0x472a0bdc, 0x14d0715e, 0x58d3dbba, 0x2f40b13c, 0x15604261, 0x79160ccd,
+    0xdd4b8af6, 0x11e47800, 0x94533015, 0x8be6fed7, 0xa7c6a791, 0xec91d190, 0x8f1e2e20, 0xcea0d1f4,
+    0x8a421c17, 0x1d1e561c, 0x583ea4ae, 0xafbb9135, 0x3946d5fb, 0xb4ddef5a, 0x3f1de693, 0xcee38354,
+    0x8818d6c7, 0xb24aeb8c, 0x85fd3772, 0xc5913600, 0x8ade2398, 0x36939f8d, 0xcdce159f, 0x8ab28d91,
+    0x175329b7, 0xb1b06c3a, 0x5af04ca5, 0xeee1e9b6, 0xd3f0323e, 0x6819033f, 0xce0b3996, 0xa168b29a,
+    0xd120a2d9, 0x5ca7904f, 0x32cbfb18, 0x827b5bc9, 0x3dd524f7, 0x87086152, 0x67aff4f7, 0x54213463,
+    0x7c0bd1f9, 0x450478c6, 0x36ad5226, 0x1cff230d, 0x29b9f0fd, 0x7f5fc1df, 0xdd4b66ba, 0x44bdd725,
+    0x280fdd7c, 0xda048436, 0xf84e9939, 0x67168b7a, 0x340d3ce6, 0x2e1796ab, 0x22f6c2fb, 0x1c4b9746,
+    0x2f3fa36c, 0x2cecc6c6, 0xb4d60e3d, 0xc3e3745c, 0x935b3ace, 0x4842e209, 0x166887f1, 0xc72f9974,
+    0x9d8c184e, 0xa5265b59, 0x12eb1cad, 0x41f1853d, 0xad3d0f1a, 0x2dc5bf68, 0x60180ab6, 0x2a211d62,
+    0xc84d047e, 0x846602f6, 0xbb3f61e7, 0x50d97dba, 0x2d176ca0, 0xe517cd5d, 0xdd764169, 0x0b4893d8,
+    0x6745a933, 0x0a0180f9, 0xd284a986, 0x7524959d, 0x2e36ed18, 0xb6b1d548, 0x71688202, 0x5453ba89,
+    0xd9ab6368, 0xb3d02de8, 0x42340005, 0x0bc52d41, 0xad84b0df, 0xae994c8e, 0xfd02273e, 0x1dff4a39,
+    0xd1d6e475, 0x047bce43, 0x03991cd7, 0x6a607965, 0xbe5ba9e0, 0x0e11d2b3, 0x9cc600b7, 0xe303287a,
+    0x9dae37d5, 0x1ca56357, 0x556eb26a, 0x7f1f51c9, 0x0a671e4b, 0xae98e6a8, 0x79a9832b, 0x72e8ef42,
+    0xf520e17f, 0x76cd6bdc, 0x7e0626cf, 0xe5afec57, 0x648d5b55, 0x9d4af18d, 0xe3671a23, 0xc041f652,
+    0x60bb2f5f, 0x505ab287, 0x4c7c05f0, 0x802c11f8, 0x1dd89d20, 0xfc68bd00, 0x8b4ab141, 0x1623b398,
+    0xc9248c11, 0x10217e3f, 0x8eb1a0a0, 0xb4f53f02, 0x06b332e7, 0xa79bb147, 0x6b12cd0b, 0x165bbf9f,
+    0x7a2ce34d, 0x056ffe6e, 0x21594216, 0x9c9bd403, 0x5f492650, 0x2bc3866d, 0x19d53584, 0x38922687,
+    0x387f2bc6, 0xba1c5840, 0x379db927, 0x089ed777, 0x9e8cb734, 0xa40a59a5, 0xf96e3d9b, 0xf333cff6,
+    0xf57fe17d, 0x255615af, 0x65ef734e, 0x59c48d82, 0x0d4639d7, 0x8440a791, 0x8eafb45a, 0x6a8bc1db,
+    0x2882577f, 0xd13d1d11, 0x7ef9862f, 0x9ccd9566, 0x917e398a, 0xe620e39e, 0xb340aee3, 0x1b9e6448,
+    0xcda25dc2, 0xe7d9e265, 0x60870602, 0xc4ef7b51, 0x8804d50f, 0x71f8b6ad, 0x46893af7, 0x7d47a687,
+    0x24dafbcd, 0x4aaeef5b, 0x9e1fe351, 0x6c0d5679, 0x6c1403cc, 0x6a028ceb, 0xdd1dc307, 0x937ffb28,
+    0x54f605c7, 0xe50bd4f5, 0xd74ba64f, 0x7e86ee98, 0xf2f35d2c, 0xced8aaeb, 0x43f369c2, 0x8fcdc437,
+    0x0d901722, 0x859bdfdd, 0x8f210864, 0xa3ea7331, 0x926bcf86, 0x4a4d5985, 0x2d0c5c9b, 0xbc7aa3a1,
+    0xf11f5d96, 0x79208e09, 0x26785e63, 0xa1650597, 0xc9a2a4b4, 0x7e93652b, 0x523d3912, 0x8c6c9a4f,
+    0x9271720d, 0xe138b066, 0xc9cc48f6, 0x34cf0363, 0x8a309288, 0xcd81d282, 0xa12a7482, 0xc64faf69,
+    0xca833f4a, 0xc2123f24, 0xc449cf32, 0xa536d320, 0x7fa0e1a0, 0x978737e8, 0xdcc36db0, 0x4b3bbbaa,
+    0x060a6f88, 0xddddf645, 0xd0654f38, 0x2ac0ecc9, 0xdb186413, 0x23450c00, 0x9b582832, 0x80abb333,
+    0x978c5357, 0x80d39b57, 0xbacae874, 0x0143e759, 0x3b2086ee, 0x02afd913, 0xfb385151, 0xb622e4e0,
+    0xc86a0cd4, 0x46559dfb, 0xd6464d69, 0xc6cd38a5, 0xda3192f1, 0x2ceddeb3, 0x0e58be88, 0xb29265af,
+    0x135b709f, 0xb11eba21, 0x2db2811e, 0xf7f15755, 0xe696a5fb, 0xb73b76ad, 0x6b91c562, 0x41e10f02,
+    0xbaa792c8, 0x9ef571bb, 0xae1f65f5, 0xf7bf8577, 0xace986e0, 0x60aed66a, 0x1d22fbd3, 0x99cf2d65,
+    0x9b5906b6, 0x1cb02ba5, 0x6710b317, 0x248214e0, 0x6b04a8d4, 0x92f28c5e, 0x110a4051, 0x6992c585,
+    0x722643d5, 0x4e63351d, 0xf485f5a1, 0x3134aa15, 0x40745623, 0xcf39f764, 0x236b9eb9, 0xf4d78182,
+    0xe0604b01, 0x9ad1f037, 0x6befa859, 0xf970d939, 0x57cd54a7, 0x30ae4133, 0x9dcb5d0a, 0x60323436,
+    0x0cfa5853, 0x7d73aff7, 0xa6bc225e, 0xede226bb, 0x377c0eaa, 0xe985586b, 0x95c566f7, 0xffe7bb4a,
+    0x62defdd9, 0x641984df, 0xb6822c7d, 0xe00ec487, 0xe312924e, 0x98a03388, 0xcf02c487, 0x7a779a69,
+    0x48e972ef, 0x9ffe3a3f, 0xb177d0e2, 0x64574af5, 0x3a642cfa, 0x1d1a1adc, 0x39b7b0c1, 0xf0149564,
+    0xbc85f484, 0x507a6327, 0x1003a5c2, 0xce18791c, 0x7102a6c1, 0xfab51117, 0x3862ec75, 0x37274743,
+    0x21dff33f, 0xb3532be1, 0x923988d8, 0x783a9b59, 0x8f536ce3, 0xa8e3eb97, 0x34950529, 0x6d3037ef,
+    0xc3973d82, 0xf1a0c0ba, 0x1402e267, 0x783440d9, 0xdc6d9265, 0x96bef17b, 0xee388d0c, 0xd3b8b04c,
+    0x1e4990df, 0x6b8cd471, 0x074ca237, 0x0295a29a, 0xe953b7ff, 0x37d43dd8, 0x90216134, 0xc5dd894d,
+    0x3bde2a81, 0x719feaf9, 0x7d69a45b, 0x031bc2aa, 0x8dd25b83, 0xce20e1ab, 0xc341d55d, 0xf41ac69a,
+    0xeb1140ef, 0xc1b0bb84, 0xb11cf21f, 0x369c1044, 0x0b5f3d25, 0xcd0b16cd, 0xfda5900c, 0xeab0fc12,
+    0x684a4d6e, 0xa6ddd824, 0x9b0fb03d, 0xaed4ee8b, 0x1893cf90, 0xdb95030f, 0x2a2f5173, 0x4f67f5da,
+    0xf59c48bd, 0x94e68a00, 0xc243b138, 0x4653dce6, 0xe90b35b0, 0x4d44f4e1, 0xcfd9abdb, 0xce4e7dc0,
+    0xd9d5a0f6, 0xbf71b1a9, 0xb5329ff4, 0x424a943c, 0x3b48f08d, 0xbb855027, 0x20159664, 0xf0f13d44,
+    0xe49c0927, 0x36b562b8, 0x30d34ee1, 0x1da10892, 0x285791a6, 0x6f74790a, 0x47fa4e00, 0xa0e401d8,
+    0x5cc48238, 0x4c9f6167, 0x361fc46f, 0xf350b011, 0x604d0e57, 0x43f23d16, 0x852f8fa8, 0x51b78925,
+    0xfb9a9a4d, 0x7fe9615f, 0xb0529f4b, 0x377250ca, 0x79d1a493, 0xf46e9169, 0x68c4842c, 0x79e4d4f0,
+    0x7a9b1f0b, 0xfa7f54f1, 0x96852606, 0xb63c77df, 0x9249b643, 0xd3fb9a26, 0x0c4e2c0b, 0xdaa7825d,
+    0xbe3e0071, 0x7f3a53bf, 0x1ea5aae2, 0xb7fcb853, 0x66165f56, 0x3e028d73, 0xde2b8ed6, 0x169e75c8,
+    0x4f3a46f9, 0x257466fe, 0xef89efcd, 0x137b180e, 0xb63846d4, 0x8097dd89, 0x5c8afe8a, 0x6a297eb9,
+    0x98d6c40f, 0xe4551579, 0xe5367bf1, 0xacf519d3, 0x832b403f, 0xf23ac1f0, 0x0678ccc4, 0xc0faec8c,
+    0xdcfc2660, 0xb9556c12, 0x3fc60ab3, 0x7bf0016c, 0x0d82d064, 0xeb7ed5e2, 0x73548f1d, 0x7b45169f,
+    0xea24d6a6, 0x391c371a, 0xb0015679, 0xdd10ad7e, 0x58477bd5, 0x45ba8239, 0x315a1fd1, 0x54d47dca,
+    0xb0828b14, 0x069e954b, 0x2f206025, 0xcfe8437a, 0x81103212, 0x49f3b269, 0x02de7149, 0x3c16b0d4,
+    0x3875c549, 0xae330a27, 0x122674c0, 0xff282dfe, 0x29a5ba33, 0x5f8dd6c7, 0x995ab3d4, 0x53815da1,
+    0x47bcec67, 0x9782e7cd, 0xa3ca9bd4, 0x9e24529a, 0x06d11fbb, 0x16f7d54d, 0xd9a46e3b, 0x209b67ce,
+    0xfca863f6, 0x9ca5751d, 0x3e3e428a, 0xd8831584, 0x2f497109, 0xdd1c6327, 0x5000fe3a, 0x4fb35535,
+    0xf6844693, 0x1e77b312, 0xd43be76a, 0xf8e755c5, 0xdc5150fd, 0x60856b36, 0xe26de457, 0xbd2dd42c,
+    0x5389ad3d, 0xd3cd1698, 0xb7314e85, 0xe2bc2609, 0x17ab3953, 0x552d8616, 0xe32d23de, 0xf6c57de9,
+    0xd667cb94, 0xf283de37, 0x9df22082, 0x50f8a92d, 0x15f3da00, 0x98739fe0, 0x8531c11c, 0x0e9ed414,
+    0x7561feb9, 0x9495c70a, 0x8170e370, 0x50a56564, 0x9d7d75a1, 0xaabcd7d7, 0x99345649, 0x2340efdf,
+    0xe28989c4, 0x1e72efde, 0x4b3c7af8, 0xb76f6e6d, 0xbf8cdbf2, 0xd56bea30, 0xe5a145d4, 0x8e34bd20,
+    0x6d42e0fd, 0x6dcd3ed5, 0xbe182187, 0x5394b665, 0x580354df, 0x461597a3, 0xf1a3ff23, 0xd9368e51,
+    0xc4e888fc, 0x5a08efb2, 0x58584a47, 0xe0e6d7b8, 0xadee98e0, 0xf5d15784, 0xad1f9ae9, 0x325badaa,
+    0x797e5042, 0xcd18d9e5, 0x23265d37, 0x77cbab3e, 0x11046019, 0xd67fdd8a, 0x03986bfb, 0xf7a43ecb,
+    0xca54ac19, 0x825eb7df, 0x9634ca39, 0xfb1d7af7, 0xb1a3ddc3, 0x83f16207, 0xf69f1052, 0xbbe584a9,
+    0x00000000,
+    0x4d3c25e5, 0x0000006a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000137438953472 */
+  { 0x00000000,
+    0x57ff1a28, 0x17fdb2f3, 0xa53f8cf6, 0x403d5678, 0x7bdffcc3, 0xb0ab1785, 0x6ff188c9, 0x33637c78,
+    0x9de07c8e, 0xf8d3ab0d, 0xf0eb8f0a, 0xca3ecf57, 0x9b4c3d59, 0xaddc0b22, 0xeb765384, 0xc404f1da,
+    0x3d228a77, 0x02c07d15, 0x9dff58e1, 0x3369b3db, 0x677ca2e2, 0x255c955e, 0xb22a02cc, 0xa01d75e4,
+    0x28be7dd2, 0xddc78eb7, 0x079a39be, 0x9957e340, 0x11fd2bce, 0x8c8c14d6, 0x33d16ed3, 0x9d3dd2eb,
+    0x77f6620d, 0x18306499, 0x091d2ea7, 0x1b7c2dd0, 0x2e91bbdb, 0x350b4836, 0x93e38359, 0xbd4dc04f,
+    0xb6c15cb8, 0x05b9c2a7, 0xbb2382e8, 0x8dafc021, 0x909de822, 0xea064f01, 0xcf24a836, 0xa137396d,
+    0x699bb5b9, 0x044820d5, 0x945268d7, 0xe5d65c66, 0xb28042a2, 0x8cca8bbf, 0xe4a953f2, 0x3a624b3d,
+    0xbc7c87fd, 0x1925ccef, 0xe0c50b72, 0x162901d9, 0x9eead5fd, 0xadaf3d09, 0x856ee6ea, 0x111a53a6,
+    0x6d6642bc, 0x031d15ac, 0x393eb482, 0x7acd4659, 0xfdd49b54, 0x33ccd7d8, 0x6bd9bd54, 0xe1909a20,
+    0x25bfedbb, 0x3fc4ad75, 0x7ee7a443, 0x4ac50869, 0x14f7cd4b, 0x2cf87128, 0x350213f1, 0x617e0189,
+    0x0b932b4f, 0xc5f91615, 0x2b5dd532, 0x2c40c81f, 0xdc2628fc, 0xda3b8e25, 0x65f9d495, 0xfb43bdd0,
+    0x9a5ae529, 0xd9e82625, 0x2df4d673, 0x5bc15c53, 0x8f4762b3, 0xcf079960, 0x639f8449, 0xc5912c5c,
+    0x154f0a0f, 0x92a426d8, 0x1e79f53d, 0x0dc641ee, 0x0a2bb267, 0x992a03a6, 0x72e2dd16, 0x28051f70,
+    0xec933e94, 0x83a85f2b, 0x8121a913, 0x16da297b, 0xbbdcefac, 0x2cfa15aa, 0x942cb2a0, 0x3bcdd9ad,
+    0xc55be233, 0x7f7a8115, 0x8351010c, 0x08d8656b, 0x47344a83, 0x44c1385b, 0x70a763ab, 0xa8dce78f,
+    0xc5d0f28a, 0x0499dd48, 0x82433a25, 0xa673cc00, 0x0c29c7ac, 0xad5aff88, 0xbfd06a7b, 0xe9dbb37c,
+    0x339f6fb9, 0x03135e65, 0x07f4b1c5, 0xda2b81ce, 0x9f42f720, 0xfe5afb8e, 0x0a0a0195, 0xc5fc65f4,
+    0x1916a010, 0xc8eb1f12, 0x46b211ee, 0x1a2fd6c4, 0x91a6b11c, 0x00fce3ce, 0x2ea351e6, 0x2d2cbacb,
+    0x3db10b5e, 0xcb33a7a1, 0xcd750f0a, 0xc571f1c7, 0x8e23fb52, 0x71c2e1b8, 0x0f68a3bc, 0x81cd311a,
+    0x89acd7e8, 0xa951ed8c, 0x2c7f4958, 0xbb833be1, 0x3bee49ed, 0xf1aafcf9, 0x74693ff1, 0xcc6e10fc,
+    0x7cfd5e2d, 0x9913bd4e, 0x7e3dd6e8, 0x8ec2f1dd, 0xf3460792, 0xfe6d75be, 0x0fd382c7, 0xd9544762,
+    0x005b2993, 0x50d5c577, 0xaf486fd3, 0x1f11065c, 0x26766cc6, 0x915c1f4d, 0x1fdb2f88, 0xd49af14a,
+    0xed0bd290, 0x78db58b0, 0x79dcbd87, 0x75584bf6, 0x128d1fba, 0x306f5047, 0xbc585f66, 0x0a7c0627,
+    0x4a410cfb, 0xa49dea4a, 0x191f92b1, 0x77a0009a, 0x4fdf519e, 0xc9f78557, 0x8fb68217, 0x7d94cd56,
+    0xc336b125, 0xa4b129b9, 0xd6ff95c2, 0x3d114a1b, 0xf54bf0cc, 0x170dbac3, 0x6ecc1d61, 0x96291ab6,
+    0x49dcc552, 0xc9ebb57c, 0x92cf2667, 0x39f47129, 0x45d13782, 0xb47c6db3, 0xf4d8846a, 0xaed67f4a,
+    0xe7f36fa6, 0x905dd594, 0xe364e571, 0xdb7ae312, 0x0bb3dc72, 0xafd72adb, 0x9034f201, 0x51b527db,
+    0x71bd08f9, 0xece20ae8, 0xd352d025, 0x91512ac1, 0x87de238c, 0x40d9fdff, 0x53af66e4, 0x411601db,
+    0x2e1d79c4, 0xc898f5c9, 0x1e874f18, 0x004f35fe, 0xb533760e, 0x5fa08dcd, 0x17e6f030, 0xe63c313d,
+    0x230e7004, 0x5e02b1b2, 0xd5aeb9cb, 0x39f93d0c, 0xa14c000f, 0x8589c188, 0x11025cdf, 0xd81c76ab,
+    0xcb22afd4, 0xb8c77f30, 0x0fcb92c0, 0x17e2c56e, 0x60c0e7cf, 0xcf93f357, 0xb621d452, 0xcda2b1ca,
+    0x8989e2d5, 0x8f163f5c, 0xcf392e54, 0x3d3f9e0d, 0x6ec6157e, 0xc782de9c, 0xdfdb3780, 0x02680308,
+    0x4bba24b3, 0x6082449a, 0x62201912, 0x41483f02, 0x00c32435, 0x52d59682, 0x4c7cdc70, 0x830d7219,
+    0xb5498ccf, 0xd4da382a, 0xf6f32801, 0x9a435bcc, 0xd8c938d6, 0x744fe98d, 0x30e7e639, 0x52696696,
+    0x4f21ce0b, 0x63641723, 0xa1a21d8b, 0x4c7b3949, 0x77edae67, 0xaf926e75, 0x8ee93943, 0x89a2afe0,
+    0xdf6ff816, 0x38cf6679, 0x69014a23, 0xba605b5a, 0xde8bb028, 0xc0d877b1, 0x784e99b4, 0xa982e757,
+    0xeed555b7, 0x2aec19b8, 0xe4f8c4a8, 0x6ead498b, 0xd8b04883, 0x9813cc77, 0xbf297d25, 0xaed5023d,
+    0x23b4ec8b, 0x88474f39, 0x8790c01f, 0x02e8fe2a, 0x2cf37527, 0x1eab5de9, 0xc8d67568, 0xc2a35297,
+    0x52e18009, 0x671532b5, 0xc55ceca8, 0x6047e398, 0x24a8aeb8, 0x7b1daa33, 0x90026e8b, 0x84397090,
+    0x6422c505, 0x4df6bde7, 0x9d5e6d14, 0xd0681730, 0xe44dd2db, 0x5985140d, 0x1cf39798, 0xe78dc503,
+    0x879e7614, 0x2f4f0a0f, 0xa3da1fe6, 0x8280fbf8, 0xb0fa9a6b, 0x6654dee9, 0x8bee5289, 0xb505192a,
+    0x81b9c2a7, 0x519862aa, 0xcc51932b, 0xbef9164e, 0x400fb488, 0x70541088, 0xf7e404e3, 0x024dad64,
+    0x604af6f9, 0xfd116f19, 0xe8af06bb, 0xded4a789, 0x77b81c68, 0x5b2ddded, 0x08d43b14, 0x68dce5ef,
+    0xd2f92348, 0xf0e88172, 0xffebe95b, 0xc183fcb1, 0x3fecd513, 0x8bb81e28, 0xf6f46051, 0xd9f66abb,
+    0xc3365e0b, 0x5c5df829, 0x25adb294, 0x4e3205c6, 0xb56d4028, 0x560f1256, 0x2876c444, 0x3b9f0ab6,
+    0x8346e980, 0x84d62532, 0x42f34ad2, 0x756b4e73, 0x7b9f4bc4, 0xf9c6f3a6, 0x16d2bf93, 0xec55a384,
+    0x0885c7a3, 0x117b865c, 0x60b97d6e, 0x4f66c98c, 0x69b1c054, 0x63397dec, 0x9d965a91, 0x5eab1be2,
+    0x29ba472d, 0x30acf0d0, 0xc2bee165, 0xfdf8acbf, 0x6b89ebc9, 0xfca16894, 0x500a5b9c, 0x6ba1c924,
+    0x0f51b0e7, 0xb26f1977, 0xf2e68e05, 0x7ba9109f, 0x558edb05, 0xd1aa500a, 0xe8851098, 0x59bd4208,
+    0xaf6e05ce, 0x9f917abe, 0x261f567a, 0xd7d19bc4, 0x435de465, 0xd8fdb599, 0x366f933d, 0x9e1778f3,
+    0x0e3ccef6, 0xe65b0c5f, 0x46f54250, 0x13e24117, 0x658ab34d, 0x0acc95b9, 0x07b71092, 0x6ae01c05,
+    0x37a8bc36, 0xce16d74a, 0x1d29911c, 0x09c67da3, 0xca0ae7fb, 0xe58905fb, 0x909b9061, 0x1fb878e7,
+    0xe11a6137, 0x3b0dcef0, 0x7860f61f, 0x534bde57, 0x7129687d, 0x8a9658f6, 0xad142303, 0x14608468,
+    0x6e61057f, 0xb7aa3c32, 0x7143d8e0, 0xc2a3bb21, 0x7e670210, 0x5c7666a6, 0x4fdb97f4, 0x4b68d54c,
+    0x999822b2, 0xabacc70d, 0x0132c593, 0xcdd2024b, 0x599c326b, 0x3d76b94c, 0x619159e6, 0xe307c9f9,
+    0x58140ce9, 0x36007f02, 0xd7229c65, 0xdd345aea, 0x4f1cfe87, 0x87612b39, 0x3276f76a, 0x0428349d,
+    0xb485f248, 0xa3cfc548, 0xf7dceabe, 0x9a2b973e, 0x631511de, 0x873188fd, 0x61f59d64, 0xc5e27d9f,
+    0x340cda69, 0xce58d72a, 0x97beaf7f, 0x201c1115, 0x310ce48c, 0xe8af2515, 0x0c843ea8, 0x7031a536,
+    0xedae3388, 0x681c18ac, 0xf2ca91fa, 0xa83b7fa2, 0x0015840d, 0x763791cf, 0x2b1f479a, 0xfcaf8d48,
+    0xdec34304, 0x5e999f05, 0xff12a550, 0xb684a252, 0xa9269e73, 0x41638e4e, 0x57d43f64, 0x0fd84add,
+    0xedc5a2d6, 0x0008f449, 0x79fc5059, 0x70685f1c, 0xa9174690, 0x3ecaa129, 0xa4f9fb17, 0x5db1e9a1,
+    0x07fd796a, 0x66e629e6, 0x718e7153, 0x321fca15, 0xae05041d, 0x72e7846e, 0x49eab218, 0xf6007fd0,
+    0xb5514211, 0x7407aa9c, 0x8ec08e37, 0xfc677c8f, 0xf3a263c3, 0x9cc22378, 0x553dd0a6, 0x6d3497e1,
+    0xedbfdc86, 0x915fd47e, 0x1fe06ea9, 0x4d66614e, 0x48ad36ae, 0x79d4ba09, 0x11cd35bf, 0x513d7e91,
+    0x925e2e3e, 0x20667b45, 0x41f95b1f, 0xb3cd18c1, 0x1833beb8, 0x834c0155, 0xfa6a5aa4, 0x2dac38f3,
+    0xfd9a978e, 0xad97d153, 0xe01a410e, 0xb59e1017, 0x6d1408ca, 0x631f0da0, 0x45f1bed3, 0xc0d4be74,
+    0x40f0370a, 0x98a687c1, 0xdd46c6f7, 0x146941bc, 0x5ab40b11, 0x882a7990, 0x583986ab, 0x4ec190d7,
+    0x2abcbd64, 0x62835a34, 0xae61cb8b, 0x9e85e299, 0x32c4a0ed, 0x8ef69755, 0xcba37d04, 0x844f93ef,
+    0x670426c8, 0x91b92888, 0x7faead0c, 0xf054ba04, 0x91256968, 0x6f7d7222, 0x29ab1dce, 0xb5908b32,
+    0x522ffefd, 0xca753118, 0x684bb87e, 0xaf0cbeec, 0x87cf9b0a, 0x19e8bb7a, 0x40c6ce35, 0xc233c166,
+    0x9511a0b2, 0x62234d93, 0x50329c8a, 0x8350c7be, 0x534b7504, 0x8e0427bb, 0xd045e51f, 0x224323a2,
+    0xad9237a3, 0x6b83b1cd, 0x60c75f1c, 0x90977588, 0x48f76c41, 0x75b3bd74, 0x26c9cdd4, 0xe59facad,
+    0xe570058e, 0x95c73c12, 0x31ec158b, 0x6bf22e12, 0xdcac2215, 0x77effbe8, 0x8ddc6309, 0xcd7c9ef5,
+    0x11cd2c8b, 0xfe13b126, 0x43bfd4e4, 0x64bb9599, 0x29afa8f2, 0x8394b255, 0xf8e5dfc3, 0xeb007b24,
+    0x0c78211b, 0x21d5fc94, 0x23920727, 0x6c6e7611, 0xe66e350d, 0x291dbd01, 0xd4051c26, 0x605dc1b6,
+    0x14129dc7, 0x66021ebb, 0x486b900e, 0xca5a8fe9, 0x2e6856fa, 0x1cf315af, 0x0aab9004, 0x3f46d8ea,
+    0x37b6981a, 0x1e09df7d, 0x7db515f7, 0x03c96b58, 0xfd455bab, 0xceb0e776, 0x18b44b8d, 0xe23cb4b2,
+    0x12fb44ca, 0xb30b47ad, 0x680c32bb, 0x1397fd55, 0x17c7c8b0, 0x60837feb, 0xd32d176c, 0x5fffb9a6,
+    0x7d82f468, 0x8adc9a21, 0xd6002a90, 0x7e34979a, 0xb532ea94, 0xe8a91170, 0xc9ed4636, 0x34e4c947,
+    0x72b0449b, 0xb36495f0, 0x93571eb2, 0xd9a38bae, 0x666c5eac, 0xf8d7a2b9, 0xeeb446ed, 0x0247197c,
+    0x6cdfd47a, 0x10514f90, 0x2b505e6f, 0xc2ee295d, 0xd17af03f, 0xa9c1fc42, 0xe8e7ba3d, 0xd3c25990,
+    0x309351ba, 0x3512a8ff, 0x352f7745, 0x6448e9d6, 0x9a30691e, 0xb3a210f6, 0x71118263, 0x188d2709,
+    0x7c95efd3, 0x9cdcd5a2, 0xef2e059b, 0xc9790467, 0x46ca3e90, 0x881d366d, 0x90ece292, 0x75808f87,
+    0xefc7bd1e, 0x01f21f1a, 0xae806078, 0xf4e260ac, 0x3d968c76, 0x211d9ddf, 0x75acffef, 0xbc95dd3e,
+    0x99975e37, 0xffd37bdf, 0x84f11bc9, 0x0140d67e, 0x733154de, 0xa722c092, 0xa99f4189, 0xadf72270,
+    0xb84edcba, 0xa610797f, 0x0e6d2296, 0xff0293a0, 0xd88a0c04, 0xf49f152a, 0xa9b63f67, 0xc26f8e06,
+    0x03eca9a3, 0x70469a3b, 0xd9cb0ec8, 0xaebdfd45, 0x7b1fcf9e, 0x5e5d43b4, 0x58815d44, 0x39233a63,
+    0xf9d73c2b, 0xb9befbc2, 0x79cbade8, 0x6e0727a7, 0xa0e8ce4e, 0xf926f286, 0x1934fac9, 0xe1facbd8,
+    0x38fde193, 0xfc94e69e, 0x9932fa50, 0x731cec30, 0xaec52858, 0x8311433f, 0x3717fff7, 0x088fd99d,
+    0x861eaac1, 0xb2a296a5, 0x0ebf3770, 0xa8f96d1a, 0xb14dc770, 0xfbf841db, 0x3de00065, 0x6ac15a11,
+    0xcb9faede, 0x5f248c2c, 0xf49bb67f, 0xc3529e87, 0x0eb2c6e8, 0xb8f520cf, 0xed27e698, 0x49c57941,
+    0xa29ff6f0, 0xa30c9fe3, 0x8cebd850, 0x73043a51, 0x41c96fe9, 0x3f9f908e, 0xd0ec00bf, 0x78bded99,
+    0x85ba4ad5, 0x2872b195, 0xcfb25455, 0xdc9d12de, 0x63e69713, 0x23dcbdcd, 0xd458b68a, 0x3753ca5d,
+    0xf0d3fe8a, 0xc8f65fc8, 0x8f8dfd15, 0x447a6393, 0x315f2e01, 0x0577c490, 0xa7393c78, 0xa8c28314,
+    0x779778e7, 0x1b2d3122, 0x4021f6ac, 0x8707a221, 0x44b7510b, 0x0a6a6aed, 0xa0a61450, 0x44570160,
+    0xe2cf5a4b, 0xe7700974, 0x736b9c9e, 0x0141ab0b, 0x9f499a1d, 0x9fde9212, 0x16610d05, 0xfc59f0a5,
+    0xadc7bcec, 0x51bb1b88, 0xb7c1da16, 0xabf04e56, 0xb6dc69ff, 0xff4605a9, 0x09dd01ba, 0xf34e5880,
+    0xcda7a3ab, 0x11e3fb4c, 0xa2cd5e40, 0xab1007a4, 0x2fea8d66, 0x2a0c0263, 0x5fa2b7f0, 0x358070da,
+    0x1efc66f0, 0xf2c52ecd, 0xf49a4d27, 0x54af13ed, 0x4287a0e4, 0xe7ab2105, 0x0db79e33, 0x3e187296,
+    0xfa480e63, 0x84054890, 0x506d3f2b, 0xd2978279, 0xe0c3181f, 0x0af1a98f, 0x1500422d, 0x016edba6,
+    0xef82eb90, 0x3463cad7, 0x7521054d, 0xc13bc0d3, 0x73cb4274, 0xdae600ff, 0x3a50f8a1, 0xe1378724,
+    0x337d2f14, 0xf983ccf6, 0xdfd2dcac, 0x57fefb82, 0x0c0d8696, 0xbbc0327c, 0xd850c564, 0xc77e361b,
+    0x7f22b558, 0xd7f64f82, 0x49c87058, 0xb53c35ea, 0xa50ac372, 0x789f3172, 0x57606412, 0xc710862c,
+    0x7ac21272, 0xd93ef850, 0x3001b1d4, 0xd5c87af3, 0x82c35e48, 0x152551de, 0x8e1949b3, 0xbe8e7a3d,
+    0x120e5db1, 0xb87e47e6, 0x98c4b69e, 0x5cc5de16, 0x52cb8cf9, 0x67bf5cf7, 0xa7e1a74f, 0x54d1fdc9,
+    0x02e635a2, 0x15174837, 0xd4cf0744, 0x42a84337, 0xac81d888, 0x0799533d, 0xd97092fa, 0xad7a83aa,
+    0x37e3052f, 0xe2f8cb19, 0x95cb1429, 0x3fa40033, 0x9570b888, 0x618f5a65, 0xf389ae54, 0x37a2f137,
+    0xa4351b89, 0xca06ccbe, 0xe9ec76c2, 0x2689842f, 0xba9f030c, 0x848841b0, 0x9f5e74c5, 0x3f437fc1,
+    0x3b381ff7, 0x2d002cdc, 0xebdbd001, 0x98f02ec7, 0x8e0143ef, 0x266eeb8e, 0x5517173b, 0xbab8f7a3,
+    0xa62211dc, 0x920d4ec2, 0xa090ef8e, 0xc411fc02, 0xd5398af6, 0x5b133dff, 0x6730208c, 0x7bcc7d49,
+    0x10538bad, 0xf52983f1, 0x6fa8890d, 0xe2242513, 0x58e9dcaa, 0x9562a401, 0xa7ca619c, 0x74305641,
+    0x89c962d7, 0x81670672, 0x7e79ee98, 0x9c1eb76e, 0xbf039008, 0x39fb773f, 0xf8f2264b, 0x245035f8,
+    0xf2b28e26, 0x40ad61bb, 0x72e20fdb, 0x670e2a51, 0xb5e2699f, 0x48c0135b, 0x2a85ebdd, 0xea7e3289,
+    0x312c10de, 0xdf1e1a9f, 0xe6d7415b, 0x105daf88, 0x33d0f8e0, 0x03ba82f0, 0xbbf20f35, 0x113bab24,
+    0x67899444, 0x2b7f6345, 0xd2f6b9d9, 0x42265d88, 0xda4de9dc, 0x121a8ddc, 0xb98957d1, 0xbc6292f4,
+    0xdcf8dbe1, 0x4e8eec49, 0xbbe5b7ae, 0x289290cf, 0x470e5f61, 0x22a61ba4, 0x4c4dde5f, 0xd6b6e6eb,
+    0x5e1645a0, 0x298fe86c, 0x2989adaa, 0x6a17286b, 0xfc63f220, 0xedb779f0, 0xfc224761, 0xfc5c02db,
+    0x7522cb3c, 0xbad275d4, 0x0fe479b0, 0x98b8ec24, 0x7b04bf37, 0x16dafe93, 0xd401d4a2, 0xa085a5d1,
+    0x2a4676fd, 0xb13d0728, 0x01a999ee, 0xc71af39d, 0x8b1bb656, 0x8cc04ccb, 0x38f04120, 0x323334b5,
+    0x68cfdc17, 0xd823055b, 0x267a7936, 0x5336f20e, 0xf0dcdb15, 0x8fc73b75, 0x87c4e21b, 0x48294610,
+    0x676624c8, 0xf0723d4f, 0x3fc2716c, 0x87e71649, 0x1909aed1, 0xf17ef409, 0xa35608b1, 0x7a713775,
+    0x3aeb755e, 0xe69eabe4, 0x225ab27f, 0xda028ae3, 0x5ce5001d, 0xcbe46d74, 0xbf6cfa84, 0x2bffc4a3,
+    0xda674c1a, 0x169153bf, 0xcfc02e92, 0xb022fe8f, 0xc8c760dd, 0x96d81497, 0x63115c9e, 0xd3ff5c1d,
+    0x4c702ba0, 0x3414af30, 0x0e98a12a, 0x077371d2, 0x4ed52ba8, 0xb19da228, 0x54703a30, 0x27669902,
+    0xdef1785c, 0xf907ee7a, 0xcc20687a, 0x4b81f81e, 0x26aacbd4, 0xeb2f7a41, 0x2e2cbb22, 0xd291017b,
+    0x07c1dffd, 0x36284464, 0x6747a7af, 0x0c29660e, 0x27322fed, 0xbf008b71, 0xd7eb82ad, 0x9b15442e,
+    0x00000000,
+    0x269e12f2, 0x00000035, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000068719476736 */
+  { 0x00000000,
+    0x93224a53, 0xc01cc31f, 0xf677d7e0, 0x05ff30f4, 0xe176f4b9, 0x67b24cfc, 0xfa1b3629, 0x7ef089b6,
+    0x6935d25e, 0x2a93728b, 0xf5a51cfb, 0x408cf617, 0xb2d59f43, 0xcf1126a3, 0x1a701c61, 0x9b6e0361,
+    0x4152329a, 0x70e58f25, 0x2e1f0fc6, 0xeeb628eb, 0x7e9333b8, 0xec665654, 0x2c2cc1d0, 0x1467489d,
+    0xd9c4c76c, 0x2976e844, 0xb4a26eee, 0xe7a5f90a, 0xb32f670f, 0xf84d7d03, 0x18d003d1, 0xcf762441,
+    0x85bc7b3f, 0x206e0ee0, 0xf10cdd03, 0x9ebd921e, 0x753d829f, 0xef01bc1a, 0xf0647caa, 0x3d9b475b,
+    0x47ebe6ef, 0xffc23d62, 0x5a8e1f66, 0xe0b66cf9, 0x2d318605, 0xcd9d4441, 0x450498ba, 0x2cf46aae,
+    0x9e0307c7, 0xde94b905, 0x65046c50, 0x08e35cb9, 0xc1805b71, 0x751d4dc8, 0xb2c6a7a0, 0x4dfc595e,
+    0x3307bb6d, 0xf625d063, 0x9d780082, 0xa108a006, 0x953c3069, 0xbdc493b4, 0xad625ca9, 0x0435955c,
+    0xdcb60f27, 0xc87dfa32, 0x5f858de8, 0xffa93615, 0x6207cbba, 0xb0645a77, 0xf8684bf4, 0x6ae1b441,
+    0xeb7a4f5c, 0xa93e306a, 0xdb8b93c4, 0x3d15767e, 0xbb40b6a0, 0xecb293dc, 0xf7f4413c, 0x338ace1d,
+    0x05d040d3, 0x80f8b396, 0x83f12188, 0xe9572136, 0xdf071140, 0x224e9f16, 0x158fbc28, 0x26640db5,
+    0x06987403, 0x6d068060, 0x7a1e9752, 0x9b7988dc, 0x1289634a, 0xc6b9e36c, 0x98e208b1, 0x83768897,
+    0xa3766172, 0xce5d195e, 0x093cf923, 0x1464b87c, 0x6e17d8b5, 0xf5db0d3e, 0x67dc90ca, 0x5ca03c2e,
+    0x9def60ca, 0x1e4fec13, 0x298bc680, 0xf1b17bab, 0x3cab883e, 0x9f834b8b, 0xca73c5f2, 0xe5402364,
+    0x7e265368, 0x9135fae9, 0x45b46d53, 0x85174595, 0x9bbece1c, 0xfd729fba, 0xe14a65e3, 0x91b14a28,
+    0xf3d38dd9, 0x4ac8330e, 0x6cd9e504, 0xd3edf668, 0x7b4f9ed2, 0x3192f337, 0x83f8cee2, 0x46cf8c4f,
+    0x891af0fc, 0x24276feb, 0x82b520cf, 0x27fef9f8, 0x65b9bcff, 0x94da6295, 0x0b781d93, 0x2ed54202,
+    0xe6f644b2, 0x43614fec, 0xbd00bbcb, 0x8d9832d1, 0xfc47a32f, 0x923001f1, 0x80bc3ee2, 0xcd935a0f,
+    0xf3f80154, 0x7cabbfc0, 0xb2d0639e, 0x6d0f7303, 0xf8509f03, 0x31441fae, 0x2e7633ae, 0xe55c7fb7,
+    0x63fa8013, 0x83db44c3, 0x2316627e, 0xe6052284, 0xbd103904, 0x4e8892ee, 0xd7e48d09, 0x961e6167,
+    0x79165635, 0x4d2aabff, 0x33b57d6e, 0xecdbf5e3, 0x6453cc9f, 0x2040a5c9, 0x90412ecc, 0x0f408428,
+    0xf3c851c5, 0x567e766c, 0xe8bee86c, 0xed402b21, 0xb2f96b3f, 0x547c9c75, 0x27770ca8, 0x6f148ba3,
+    0x028b386b, 0x2f65759e, 0x8ab372c9, 0x0f58b32c, 0x21f6c40c, 0xea6b5048, 0xb5043191, 0xcce35b04,
+    0x38d71d13, 0x901872e7, 0x6f409bfa, 0x06696450, 0xac300445, 0xc5d832cc, 0x4c5087da, 0xf4e60a74,
+    0x9c4d0269, 0x96a5c01a, 0x478f0ed2, 0x2a133771, 0xae3f4a51, 0xf4d4d4b0, 0x9913ff0b, 0x39186db2,
+    0x4598b023, 0xe82e63ee, 0x28ad94f4, 0xc8993eac, 0x907cd03f, 0xb29bd1e4, 0xdccccc83, 0xbd20398f,
+    0x56865b76, 0xf127012d, 0xbb63159c, 0x85e50428, 0x2bc1ddcb, 0x87b89809, 0x27482c69, 0x48446439,
+    0x88e5a5f1, 0xe9e6fc8b, 0x4fc2b074, 0x006793e3, 0x8357af7a, 0x4a975e0d, 0x109c65ef, 0x0b8e11c6,
+    0xb8fa677d, 0x3f9d457b, 0x8e135fe4, 0x64fb5385, 0x6c775e8b, 0x8511e00c, 0xc0a9f7e7, 0x2049f65e,
+    0x8a3c2cfe, 0xb9deb00d, 0x0cb73b16, 0x1f6f38b7, 0x5f211318, 0x632e6a83, 0x73eafd86, 0xf6913b19,
+    0x22202a10, 0xad7b5484, 0xc0403c1c, 0x4499a40d, 0x87ead611, 0x08f337de, 0x1e1ec25c, 0xc390a95c,
+    0x8f80e605, 0xeb9fe791, 0x06eb0e28, 0x249b194d, 0x8e058c2a, 0x8f7a6fb2, 0xa2e1a0dd, 0x41ba0131,
+    0xe7013265, 0xe1ca7f96, 0xe3faa1c5, 0x37f56b5f, 0xc2ae308a, 0xe64000c2, 0xb0d3c24a, 0xfcde5f42,
+    0xe94478a9, 0x763f9016, 0x0813a9ec, 0x094f7418, 0x368e280e, 0x3f4ba489, 0xdf0dc1cb, 0x60ea941d,
+    0x63e7a9af, 0x54779ad3, 0x1ea4d69b, 0x861d4743, 0x6578cde3, 0x3ea28e4c, 0xd35af8c9, 0x6e9e9eca,
+    0x212e8346, 0xa2b4d58e, 0x79722660, 0xe175efc9, 0x4e6277a5, 0x1285a648, 0xc2fdbac4, 0x5d2041cf,
+    0x9f2e733e, 0x84df47f8, 0x071a42d8, 0xea4cd78c, 0xfcf30bd4, 0xa72830c0, 0xba044e2a, 0x04088f77,
+    0x71e91506, 0x417208a6, 0xfce109a8, 0x830da8ad, 0xf68b42a8, 0x033a86f6, 0x59ce6bb2, 0xef92fead,
+    0x69990207, 0x3a49bc8a, 0x4250fc72, 0xb94b3169, 0x7552a2f4, 0x1a99af1b, 0x55088057, 0x1e63268d,
+    0x1b674cfa, 0x6655468d, 0x5bde3b48, 0x6e25651e, 0x923f468d, 0xf25124b8, 0xaacc616c, 0x08ddcbf0,
+    0xcdd8321a, 0xc6f10298, 0xaf1e72b3, 0xbeb3bb4d, 0xf2ffa30a, 0x8a632eb1, 0x3b3034d3, 0x2b236bed,
+    0x0b585cbc, 0x881c74c3, 0xf02d68ed, 0xfd758441, 0xafee0c32, 0x3de3bae5, 0xc97f33dc, 0x9763e1bc,
+    0x03e0858c, 0xdc4c2075, 0x448e11da, 0xd099bb03, 0x22a077ff, 0x01900939, 0x4e0d5272, 0xf6ea1d97,
+    0xf80c72bb, 0x28a87c54, 0x69500de8, 0xed1344ba, 0x0bfecc78, 0xf43cb5fd, 0xbdad7e16, 0xdb2d6495,
+    0x4963fe5a, 0x94aee5a9, 0xd08a710f, 0x85d0ea9c, 0x77966312, 0x134f17a4, 0x6a07bcd5, 0x5a9c294d,
+    0xa844561d, 0x8d133229, 0xedd27f53, 0xca4d9ad6, 0xe9a2da85, 0xe92a8a9e, 0x5a38cf70, 0xee18bf53,
+    0xdbee4545, 0xdfc95dcd, 0x2357026f, 0x6c142eb8, 0x1d4e1d3f, 0xfbf25c29, 0x75b4289d, 0xd1980eb9,
+    0x2a901686, 0x192019c8, 0xfe8f5fc9, 0xcaf102c4, 0xbbeffad9, 0xc8ca54d8, 0x36eb9b6c, 0x6e8e1c3e,
+    0x03589f52, 0x251300f7, 0x3250476e, 0x39ab8e56, 0xee8cf0f8, 0xa8fee944, 0x72cac35b, 0x5abd0239,
+    0xf2e06397, 0x7407381e, 0xa73e277c, 0x73f36031, 0x5acfb666, 0x70ed15b0, 0xb7171f1f, 0xcaf7b197,
+    0x2b0557b6, 0x6f38b574, 0x8680b3b9, 0x578cb4f1, 0x364f1d8d, 0xfbb27f74, 0x19714bac, 0x110b32a6,
+    0x7834e698, 0x11f611b4, 0x1270ef4a, 0xda45a049, 0x9d47c436, 0x7107af95, 0x79ee8be1, 0x2e99760a,
+    0x866b93dd, 0x1bd3914d, 0xd2bba637, 0x0d08425e, 0xeefe07a0, 0xc89e1a9c, 0x870d6ed0, 0x76e79f72,
+    0xab42dbe4, 0xfe44e6be, 0x3bc8304a, 0x6eb4cbc8, 0x77a64047, 0x185fbd2e, 0xbf709b3a, 0x1398e749,
+    0xbfca7b07, 0xf115b936, 0xd7f395cb, 0x128c2d0b, 0x89c2c37d, 0x1f9d6e69, 0x35b27504, 0xd69d17e8,
+    0x01b24cf1, 0xe070ecca, 0x125d6a4c, 0x1d1d7bbd, 0x21da0b70, 0xff1392b8, 0x26d159b4, 0xca119632,
+    0x18600687, 0xdedc3435, 0xb4e92fb6, 0xd1084b84, 0xe27eedd2, 0xf25b1404, 0xc20899d4, 0x10a695f7,
+    0x884e14d0, 0x844487f8, 0x464c7cbe, 0x637883a6, 0xca5cdfbf, 0xa4b2ad12, 0xe1644808, 0xc7773133,
+    0x487ae356, 0xab7d7f13, 0x28b9d3d2, 0xd4feb9cb, 0x8f85e9e4, 0x2f5165b7, 0x3017fa98, 0xbd317c81,
+    0x61f6a9bf, 0xdf15eeb6, 0x32cad274, 0xa696f9f8, 0x5d93692f, 0x6512d8c4, 0x7a6e65f1, 0x4dc0afae,
+    0x8b61cf3f, 0xde846d70, 0x3259f001, 0xd8895beb, 0x805f8839, 0xe08acf9f, 0x4cbeaabe, 0xae827730,
+    0x921966ca, 0x053198f0, 0xbdf0728a, 0x409941cd, 0x79964ebe, 0x74c31120, 0xac15e24a, 0x68616dd0,
+    0x74fdb273, 0x1afc3764, 0xf4d7aa1b, 0xa2bac6cf, 0x9709a8de, 0x61d97ab4, 0x945d8460, 0xd49a1c82,
+    0xcde85479, 0x7c8b221d, 0x374c3279, 0xce173be8, 0x0bb03e23, 0xffc437dd, 0x3f35a478, 0x61bebb2e,
+    0xa95b639a, 0x317630b3, 0x1c5484be, 0x35e07c17, 0xb11ef391, 0xf51f7af9, 0x6010c7d4, 0xc3f23568,
+    0x716c6728, 0xa0b8a191, 0x23d026cb, 0xc57748ae, 0x64a8aab7, 0x4ca2aa5a, 0xdffd4c7d, 0x29e1d23c,
+    0x690557d9, 0x693f9f41, 0x77c5a54d, 0x2e42d1a2, 0xa2446ca0, 0xda137fb9, 0xc2b49749, 0xb30c756a,
+    0xab7d7fd6, 0xa25ad79e, 0x1b86d92e, 0x3b4a8dec, 0xb2277409, 0x8137de96, 0x66426479, 0xc762d1da,
+    0x0f6c9391, 0x99757dc2, 0xf7c220f4, 0x62857a88, 0x824eea87, 0xe95533fd, 0x187f8dbd, 0x50c4e396,
+    0xc54547b8, 0x5ad54d63, 0x444d09b6, 0x8aa621a7, 0x48d5f154, 0x5a604dad, 0x6bf1d6ec, 0x9c399d6a,
+    0x133c1a30, 0x81544359, 0x4924a881, 0x139d630f, 0x8e4f4e26, 0x965a5d79, 0xbeafbc02, 0x9b4c11b2,
+    0x4bc5a237, 0x01fe4427, 0x261fb1a2, 0xf1eb72a4, 0x5c6eb6de, 0x2038342e, 0xd1be0de0, 0xf3e46507,
+    0xf9517f49, 0xa33c3ed2, 0x7a0c2a62, 0xbf94fe26, 0x8c4fee75, 0x0dc743ec, 0x84d3a1f6, 0x31b59638,
+    0xfe14918f, 0xa54b879b, 0x1163e534, 0xdbf87c56, 0x782ab710, 0x6e3ba93a, 0x70421337, 0xe5b6e4e1,
+    0x916ec6f8, 0x421b5913, 0xed98daa0, 0xc6a24c0b, 0xbbe73fff, 0xed33743d, 0x59b6f8ad, 0xd5fab529,
+    0xe205c78e, 0x3b4114a0, 0x8255c570, 0x5eba49fe, 0x01a706af, 0x98045d87, 0x52f534d1, 0x0b8666b0,
+    0x89939181, 0x457c8086, 0xa9d19818, 0x02aa8e5e, 0x2b57afe1, 0x9117a96c, 0xf7b57d39, 0xd7aa731f,
+    0x4dbcddf2, 0x49e414c4, 0xc213a6c1, 0x45e94a69, 0x996e2327, 0x2404fde6, 0x652eab69, 0x29ee5f56,
+    0xf6f8c544, 0xfa521e70, 0x33a1e048, 0x7f376b75, 0xda964fff, 0xb398d183, 0xa20b93d3, 0x57554ab2,
+    0x0eb2ebce, 0x43ab51b8, 0x3b19ae93, 0x7cfd8b88, 0x8570d9aa, 0xb61646da, 0xa6c26921, 0xa8e30faa,
+    0x36a33b71, 0xec28ee56, 0xfad4b670, 0xcf7fd46d, 0x9042416e, 0x72b63c57, 0xeb02fab1, 0x0f4c234d,
+    0xe9fdb226, 0x6ab781c9, 0x82d348cc, 0x6dd57b6d, 0xdbe69023, 0xe6379b9d, 0xaab5994a, 0xd8e2dc5e,
+    0x541d2184, 0x8d84f676, 0xb97ff03e, 0xf70c9f62, 0x2306c881, 0x4ef092bf, 0xfc96cceb, 0x517e969a,
+    0xb2638235, 0x7e88e2e9, 0x348ac2ad, 0x1a20ebe7, 0x4d808f24, 0xc9b75abc, 0x186779fb, 0x222f187e,
+    0xa94651e5, 0xfa22e271, 0x7cd56b16, 0x0658b82b, 0xd7ef2dd4, 0xa2f4e44f, 0x9ac9e679, 0xd67d1c91,
+    0xd7456b81, 0xc2f2adc4, 0x39c310d3, 0xc9cbf4b7, 0x3f6c69ee, 0x9391c6df, 0xa8eddcc7, 0x8afe9879,
+    0x760cd640, 0x11011d4c, 0x46eda46e, 0xb68c02e5, 0xf15bf1a2, 0x565f5720, 0x0d8c5f6e, 0xd97e7af6,
+    0xfdc0ea2a, 0x0a0755b2, 0xfbedf2b1, 0xefa1e056, 0x61f2410e, 0x8da6b69e, 0x615a693c, 0x5dde3836,
+    0x7985df6a, 0x4c85acbb, 0x4e80ae3f, 0xb1824d31, 0x080d21e9, 0xa0f64729, 0xe627e9c8, 0x6d45bac5,
+    0x4d848b53, 0xcabbb816, 0xacd8ac44, 0xd58d0798, 0xeab56671, 0x050a8848, 0x854e9973, 0x40dd605f,
+    0xc82292bc, 0x39f68a9c, 0x352e63e6, 0xcfd82b8c, 0x9e069473, 0x1e7e4964, 0x0d025950, 0x499c93af,
+    0x183fdaf8, 0x235683e3, 0x59600205, 0x5b62c867, 0xc919bfe4, 0x9e449678, 0x938ab6fd, 0x315b6de9,
+    0xc0fcc711, 0xa034e01c, 0x4e877695, 0x7c367485, 0x6e6ab7ea, 0xc9f7a8da, 0xa69b902d, 0xf832d66e,
+    0x0c6b6032, 0x44b9c882, 0x97218d6e, 0x13cd2076, 0x5ef910af, 0x8dac2d57, 0x369e220f, 0x29e7c03f,
+    0x3dfb3501, 0x6e2c360f, 0x9b1f327b, 0xad7e056b, 0x13241eaa, 0x5194cd3e, 0x596a10a4, 0xd423ce71,
+    0x9d2cbda9, 0xea2b17c8, 0x5f690c99, 0x846501a4, 0xaba9e765, 0x4443c1d0, 0x33493fcb, 0x308af220,
+    0xe1a58387, 0xc34a946f, 0x9a547e8a, 0xb6d0ea96, 0x0c6a6f4a, 0x908e2fbf, 0xa566288b, 0x0590c4f4,
+    0x3477fa81, 0x89efed21, 0x455a3f3b, 0x8b6da111, 0x59fabacb, 0x02ecbff0, 0xa1c903cd, 0xea5cf8d5,
+    0x2e7df1ce, 0x0ec9bb52, 0x1f8ef519, 0x8d1f8975, 0x03e1a64e, 0xefcfdab2, 0x19c093c1, 0x6509725c,
+    0xf629199c, 0x80d05c43, 0x8f387a18, 0x51ae678e, 0x71718fe2, 0xdd39b2d5, 0xdf47d94c, 0x0051beef,
+    0x29ee394c, 0xdd61b0bc, 0x7a7fdc55, 0xfb007b07, 0x0f5e4f75, 0xac7baade, 0xfe642b9c, 0xfa85f5e0,
+    0x9aa85255, 0xf6d381a0, 0xbb049066, 0x9a94e9d4, 0x0a25a12b, 0xf7c2b6c9, 0x211c9f89, 0x3f49fc4a,
+    0x9a253d13, 0xf4a7a054, 0xd6e8f813, 0x6ec0c878, 0x9f8efc22, 0xc866416b, 0x155203f4, 0xe1db92e4,
+    0x093b18da, 0x009a0ae2, 0x9011f331, 0x274fe52e, 0x77ae963e, 0xb3c9f86c, 0x8330781e, 0x57718121,
+    0xf619ee2e, 0xb69fc331, 0xecc0ce12, 0x8eda411b, 0xf35e6b5c, 0x4236f4b1, 0xb35ad5fb, 0x13a61fb6,
+    0x3655990e, 0xdbb7d938, 0x72bbca14, 0x46aa3b4a, 0x1d892fd6, 0x74c779b3, 0x34e92d3f, 0x2536526e,
+    0x8d76498d, 0x41362639, 0x8b21f263, 0xe10ed418, 0xc56b56ac, 0x73f27dc8, 0xb8e477fb, 0x4378853d,
+    0xb3b32663, 0x30a915cc, 0x4b5a7c67, 0xda994cad, 0xf01337ea, 0x46de689d, 0x1e986271, 0x27345ab9,
+    0x16e1cb72, 0x926e3b49, 0x354b6069, 0xdfdb04c0, 0x85a6bbd5, 0x4919f890, 0x810cad03, 0x2888dec9,
+    0x4ce1c6f6, 0x67f5f9d1, 0xacfeb642, 0x3a543bbe, 0xa442eddb, 0x9e6afa35, 0x521ffc80, 0x8f3d7cfb,
+    0x81303a91, 0x43955f59, 0x68bf7c9b, 0x79c210cb, 0x2ae1b5a4, 0x0fc756f0, 0x51537017, 0x042dddb7,
+    0xd719e063, 0xd05aea35, 0xcbdae7ae, 0x09bda784, 0xd06f82a3, 0x46afd598, 0x793b903d, 0x9347ad51,
+    0xca728cfe, 0x63120317, 0xb36895ca, 0xf7f4089d, 0x00a7c70b, 0x17d8f58e, 0xe528b78b, 0x08b10f1b,
+    0x465c8c8d, 0xed9bb354, 0xd1fec0f1, 0x25ecca5c, 0xdfb300ba, 0xfd863003, 0x9877553e, 0x24577fa3,
+    0x17d60209, 0x19ed6e31, 0xab440f27, 0xf61516ed, 0x85571133, 0xa868291e, 0x2a2f7471, 0xed6adbf9,
+    0x0df08b9c, 0xbf21cfca, 0xf2df820b, 0xc11033dd, 0x78c602c1, 0x31fbdad6, 0x9a7b59bc, 0x1c14ba49,
+    0xa6019c42, 0x595a14ce, 0xd191fc70, 0xbe047243, 0x1aeab401, 0xa2602e0a, 0xa56afcbf, 0xcc01eacc,
+    0x0e9f01ce, 0x73272bc5, 0x266e5257, 0x41c67232, 0xc0ce98ae, 0x2ddba215, 0x8a7e6847, 0x9163954d,
+    0x3e395696, 0x74d2ac05, 0xbce45133, 0xaf0cc9e4, 0x8c6cb66a, 0x2259af15, 0x55ed3291, 0x2c027a88,
+    0xeb5941ba, 0xcbde0284, 0xd3e7edfd, 0x3e775bc1, 0xd65673af, 0x19c39bd4, 0x7f0f01f2, 0x078e4996,
+    0x3f291b0c, 0x89e3862d, 0xf63e3095, 0x06d94ab6, 0x33407628, 0x4a0a35ea, 0x8b411d8b, 0x103b6c2f,
+    0x4385609a, 0xbc8c7bbf, 0x60fc6da5, 0x84f7172b, 0x4d2f7f68, 0xe0e360d4, 0x48d7b511, 0xf8e8528c,
+    0x844ad847, 0xe214db03, 0xd0c36de4, 0x9e8d08ac, 0xb7bf5f74, 0x865e64f9, 0xc73565bd, 0x79bc3411,
+    0x0fd6e84d, 0x90dc19f3, 0x6838416f, 0x95456471, 0x4dfaef5e, 0xe229a4f1, 0x0ee8eb27, 0xbf7f9f79,
+    0x858f26a6, 0x08ada01b, 0xce863685, 0xdb4706ca, 0x481f8ba0, 0x2400239d, 0xdc715fcb, 0xb20e2691,
+    0x58c39fe5, 0x67543546, 0x69f99eac, 0x4763b87d, 0xe83903bb, 0xee5d7af3, 0x2b6a8208, 0xc74073c0,
+    0x00000000,
+    0x934f0978, 0x0000001a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000034359738368 */
+  { 0x00000000,
+    0x95ae2eac, 0x6ca5b68d, 0x633e50e1, 0xc7430327, 0xf12ffcb2, 0x9514005d, 0xc95a163e, 0xba89f368,
+    0x6c819a31, 0xbe73f5fc, 0x656a02e0, 0x5d3c6819, 0x2b20156c, 0x618c7e58, 0x41aea571, 0x395002ad,
+    0xa3d08997, 0xe8048f2f, 0x3c821682, 0x11cc0e9c, 0x5f43dac8, 0x7948d2dc, 0xd9d49b33, 0x76d649a2,
+    0x6a1bca50, 0x977c7739, 0x0c1371cb, 0xb0165dfa, 0x5a4df475, 0xc9f15229, 0xf5affe4c, 0xed1c7c11,
+    0x94dd413b, 0x845b97a2, 0x75e5506b, 0x7ab53c68, 0x70e59340, 0xf0355116, 0x5ff6fa97, 0x252c0892,
+    0x17947121, 0xa24e735b, 0x808421ff, 0x82086079, 0xc79c0d75, 0x45ff436b, 0xeab298dd, 0xcbac7ba3,
+    0x491c0425, 0x4e1a6833, 0x71935cf9, 0xd678e92a, 0x5459f01f, 0xe8df4184, 0x6a306120, 0x3cf19e3a,
+    0xf97e7696, 0x837660e9, 0xffd43e04, 0x7925fcd4, 0x088f5a74, 0xf3c1828a, 0x02e23c0d, 0xf596565a,
+    0x3dc104eb, 0xd8a45862, 0x2772cd75, 0xd2000d2d, 0x12264abc, 0x73b390a3, 0xd31cb138, 0x28f177a2,
+    0xbad166f8, 0xfbc23000, 0x26ae33b3, 0xd28cdbcc, 0x5e621217, 0xac73c90c, 0x1f1051e4, 0x71f97273,
+    0x6ee74b63, 0x4ab022fd, 0x8ece8bd8, 0xbb8f27ab, 0x5062b542, 0xbaa8bac8, 0xca529f2a, 0x097e2207,
+    0xe5787f54, 0x64fa3c03, 0x143dc1f1, 0xc843b136, 0xa51913c0, 0x2a10683b, 0xbd19f9d3, 0x397d9cae,
+    0x5e551ede, 0xbd5f6bcc, 0xc01c6772, 0x94090e34, 0x264a5b84, 0x969f53c6, 0x1751e58f, 0x7e711deb,
+    0xceb8ae38, 0xd4a41ddb, 0x255c9013, 0x562a5c7e, 0x512890e3, 0x6ad7882f, 0x7375636b, 0x6f023685,
+    0x6e1bdd6c, 0x162c558c, 0x6194c454, 0x82a58b7b, 0x1564beef, 0x9622b12b, 0xab7d7974, 0x138b2bdf,
+    0xadc19860, 0x52075ae3, 0x86232b0e, 0x451d683b, 0x3fa5c227, 0x551e11f6, 0x8ac73015, 0x46f0f792,
+    0x15cb9025, 0xceb3326d, 0x9b86c3bb, 0xf7e64d07, 0x044da693, 0x3990766e, 0xfbb747d2, 0xeb70ab0f,
+    0x9d672364, 0x12153f5b, 0x4458d471, 0x855020dd, 0x68a1248c, 0x4e4c2489, 0xbc97a0ff, 0x81bf1e55,
+    0xde85fa6e, 0x9e13a6e2, 0xb5c998a8, 0x229d4bf3, 0xad8b7ed0, 0xa9f8fd81, 0x9992b813, 0x85fecdf9,
+    0x1fe45270, 0xd637a883, 0x00318378, 0x3b8b6c56, 0x9f82a97e, 0xec96f45b, 0xf38b18b3, 0x313f555d,
+    0x78e6135e, 0xf441963a, 0x37d356be, 0xef05f76d, 0x104adc47, 0x8d06be05, 0x1396667c, 0x5e17fc16,
+    0x00a4922d, 0x10437875, 0x894ed41a, 0x05dcffb2, 0x6e4df7ad, 0xfd1beb3b, 0xab600395, 0x9939ee22,
+    0x3273d2d5, 0xb586fd06, 0x6315ea44, 0x74e86381, 0x7fb4fb62, 0x1a526803, 0x16a0f822, 0x5ae6b016,
+    0x392a238a, 0xc1ebe462, 0xe57fdddb, 0x3ee157a7, 0x7e31a41c, 0x304fb34f, 0xba5267ad, 0xd2105ded,
+    0xf8fa09e9, 0x539ce816, 0x7b898414, 0xe14569c5, 0x1b50d536, 0xc3d8d568, 0xf061f6f7, 0xd30463c7,
+    0xbb0e5b22, 0xabf97155, 0x1bbda8a6, 0x871d8daf, 0x4d9b8820, 0xdb639603, 0x69c789d4, 0x387f4730,
+    0xda169ad0, 0x5236bd5c, 0x7e281769, 0xe7dea0da, 0x9bf6cef3, 0xcfd234ed, 0xd4b66695, 0xac834fb0,
+    0x68bb9ae2, 0xa1699039, 0x4c54ed51, 0x39f3a75f, 0x3426b702, 0x8a4b88c6, 0x2fdc483c, 0x505631e7,
+    0x035d4f78, 0xe3de8a34, 0x07b89144, 0x6b29c221, 0x4dcd2ab6, 0xb563d1fa, 0xaa9d1731, 0xbf3adae9,
+    0xec1a0a1d, 0x858e3b17, 0x248f543e, 0x2d03b554, 0x063966fb, 0x0fc1c0d6, 0x8fb6c415, 0xc3f9e851,
+    0x3899910f, 0xbc7744e3, 0x3ef943a8, 0xe5cb6d4f, 0x1c8ce8da, 0x11dd81cd, 0xa8e0a675, 0x5e099f88,
+    0x99ce225c, 0x952b2c85, 0x1554d356, 0x46f46ef3, 0x0aa4eeda, 0xef136d89, 0xb42e336a, 0xcb9953f0,
+    0x4b954b1b, 0x5751941c, 0x24c2f566, 0x3005c89f, 0xc1b0ca4c, 0x376c0d4a, 0x93f05802, 0xf5e77264,
+    0x6243009f, 0x9f6d0827, 0x9207919b, 0x8a2ba66c, 0xf5848f57, 0x51495916, 0x1afa1328, 0x8ed5a4b8,
+    0x120d7864, 0x9ae538dc, 0x96df2c3e, 0x31e44883, 0xe14190d2, 0x199c8a10, 0xc7f9726f, 0xa9ad34fe,
+    0xdaa189c0, 0x03d8ef7b, 0x638f66f2, 0x71d529eb, 0x80a314df, 0x6141badc, 0x95f9c39d, 0x127d670e,
+    0xaf0c64c8, 0xccd1b3e5, 0xb99c0dde, 0x4b318c1e, 0xf1197fe2, 0xd4f1339f, 0x916b5bde, 0x7fc9c8b4,
+    0x9e9b8109, 0x7414e19a, 0xfa9fd071, 0xc4e9c584, 0x4c2e38c8, 0x27efa2c5, 0x12c6bec4, 0x906e17d2,
+    0x670d7e2e, 0x41fa339b, 0x826a7701, 0x41d87e18, 0x7066f9b0, 0xbcba0b91, 0x8e260435, 0x25aee402,
+    0x1f866e05, 0x04ded7fd, 0x8854254a, 0xd4855e3d, 0xea19d926, 0x4442481e, 0xea1f02b3, 0x535dd470,
+    0xe3113ea2, 0xa83c0774, 0xaca5aa44, 0x9d157399, 0x37c67120, 0x1ef1e0d4, 0x21ad4130, 0x41a4c967,
+    0x74493686, 0xf5a5861f, 0xe9b8e88f, 0x14d36f85, 0xe3ce1d0d, 0xe2bfaaab, 0x253e3c24, 0xfe784eb8,
+    0x292e5318, 0xf2ef9c50, 0xdaba58ec, 0x3232dfcf, 0x9e14500e, 0xd0f71774, 0x7f70a48a, 0x36f173ee,
+    0x20d09a01, 0xd6fe2de2, 0xc9f8c174, 0x5995c622, 0x6b4c6817, 0xe3f53171, 0xfbafa460, 0x64056a09,
+    0x7a0d68db, 0xd0487286, 0x2e4bc46a, 0x12fb836a, 0x00e7867e, 0x561847ef, 0xc49322a2, 0x934270a7,
+    0x6e1b9c3e, 0xc72a5a87, 0x24440d5d, 0x82dc5fb1, 0x5d7004b2, 0x528693d8, 0x4cee773e, 0x3ac4225c,
+    0x87bed6cf, 0xce9a30d8, 0xde2b7a5a, 0xa1786a66, 0x46d3372e, 0x5ff02df2, 0x028e9c48, 0x313ffa39,
+    0x8e69b0ca, 0xdcf00a8d, 0x29de970b, 0x182989f5, 0x23686f72, 0xf10f5edb, 0x5b2a944c, 0xc8c42610,
+    0xd6243905, 0x04d2de52, 0xa6e8d91e, 0x12123034, 0x37bd2b0f, 0xc4ade72e, 0xfef85538, 0xe769f427,
+    0xf2717419, 0x26c29f62, 0xe4dc0e62, 0xc5bf459c, 0x7967a241, 0xab97f2e7, 0x3969e42d, 0x11e2d549,
+    0x8c8ac37a, 0x484ef403, 0xeda4d749, 0xe6d88a32, 0x7be1b286, 0x4cbcefbc, 0x3f99f976, 0x1c7fc3f1,
+    0x0f5d5de5, 0x6d28d3d1, 0xb3765875, 0xcb43caa6, 0xffda3d0d, 0x6e5c7465, 0x18a38d23, 0x88149301,
+    0x126233eb, 0x75239747, 0xc4c934a6, 0xcc9c72ea, 0x0df75528, 0xcf9c2e13, 0x47ebbe2f, 0x956b2e62,
+    0x3f31ef2c, 0xcef80162, 0x7a5aa3a7, 0x2e029e4c, 0x43ff9e08, 0xbaae841f, 0x2c1c6d25, 0x69d1b726,
+    0x72c0eed5, 0x11595ba4, 0x8b5164f7, 0x8e9358de, 0x53c84993, 0xb563dc3d, 0x1828ef18, 0xa97b6d1f,
+    0xa1a8adeb, 0xd6b0412e, 0x2ee18fc2, 0xd09eaf8c, 0xcb0a1fb4, 0x938beacc, 0x406442a8, 0xa9da09f2,
+    0x08fd07ee, 0x651c42d2, 0x1bb81851, 0x07f1dbfc, 0xec0b53d2, 0xdf4515fc, 0x0e4c54c1, 0x62457d3f,
+    0xdcd17d4a, 0xb1c4022a, 0x534a9150, 0x61cdc8ba, 0xa862a63a, 0x03b3f3af, 0xcf3a1041, 0x5b9d4b21,
+    0x44560b1b, 0xf7b0e397, 0xb3dd078a, 0xa12ae050, 0x877a910d, 0x90430462, 0xd8f2ecd7, 0x7f54a340,
+    0x4e421b30, 0x485400b8, 0x5b0834a9, 0x1d6cedeb, 0xbd3177f5, 0x4407d45d, 0x133de806, 0xc65737b2,
+    0x61690340, 0x46b9158e, 0x9593f733, 0x54e9419a, 0x8fa472b0, 0x8d73b109, 0x9e36c9c9, 0x6085eaf0,
+    0x3abaae01, 0xa3d52c07, 0xae842ad7, 0xd66b9753, 0x671a8c0c, 0xc84e103f, 0x700a29ff, 0x1b34cbb7,
+    0x23f9b4ae, 0xe6cf7425, 0x7cab6913, 0x9d3c9f6b, 0x2637e276, 0x6e270035, 0x0c2b75a9, 0x78e7b306,
+    0x6372b0c2, 0x38f61f9c, 0x310b3996, 0xd7174234, 0x27e282e6, 0x32d5cf60, 0xab56e8e4, 0x0ff781c7,
+    0x0bbff42b, 0x070726f3, 0x71928fc5, 0xea1ae07d, 0x87ddcf95, 0x652a172a, 0xf2cfb119, 0xb7304f0a,
+    0x5c87a07f, 0xe5ea1c61, 0x078ef277, 0xcdc40de0, 0x26ff8ba9, 0x7005245e, 0xd855e308, 0xf1f8b68a,
+    0xcd6a0517, 0x3fe46b40, 0x1b74deb5, 0xdc7c5bf8, 0xb5e65038, 0x8b7accd7, 0x2034ec9b, 0x85143555,
+    0x615a06b7, 0xa9091f46, 0x4a60a204, 0x798e9fd5, 0xba311858, 0x8d660e3f, 0xd59a3070, 0x1fd3bb56,
+    0x1a3e182a, 0xb2cda90c, 0x92635c62, 0xf7b2a26d, 0x8650736a, 0xdb47b0bf, 0x48354862, 0xc164c115,
+    0x3913a0c6, 0xff68b799, 0x55dcd2d0, 0x9116eae8, 0x166358cb, 0x1836031c, 0xef2afaf8, 0x979f5321,
+    0xfad96899, 0xd23cb6c7, 0x56826e03, 0x7fca0525, 0x2a49e118, 0x9c9fabe4, 0xa9f2cfdd, 0x14df1d24,
+    0xb0424d16, 0x441ddecb, 0xe9505e76, 0x1e5c4d24, 0x2b5adca2, 0x1a60cabf, 0x57e96b5a, 0x51908642,
+    0x5aee3993, 0x5ec12419, 0xde71c9d4, 0xf7f89672, 0x203457cf, 0xf6eb6701, 0xcd77137d, 0x640945bf,
+    0x0f2a621c, 0x6246287a, 0xb77357df, 0xa1b25894, 0xbad3de31, 0x131cb4dd, 0x8553f6e6, 0x5eec9200,
+    0xcf7e9589, 0xa3043f59, 0xcbc9abfe, 0x7bda27a8, 0xaf563f1b, 0x6cd27d8f, 0x4a97332d, 0xf3f07fb4,
+    0x780eaedf, 0xbeb58eff, 0x1b616691, 0xfad34b86, 0xdfb7fd24, 0xf49c9b27, 0x29e8f318, 0x9d167f8d,
+    0xec5d17f2, 0x186d9cee, 0x3e8afd03, 0xeeb1abeb, 0xf547c7d0, 0xd12ef082, 0x4b9ecf8a, 0x8226d0cc,
+    0x14ebaccc, 0x7d3070f4, 0x6daf24db, 0xb190dad8, 0xad66b5c2, 0xac37658c, 0xc5075b28, 0x6ff8a489,
+    0xcf244f4b, 0xe4f554d6, 0xc1550715, 0x36afb46c, 0x02722865, 0xa568926e, 0x04371aa8, 0x706b0393,
+    0x39ef1d5b, 0xaba2c9f9, 0xca7904e8, 0xdd58c6d4, 0x0e502d1f, 0xba4a3d44, 0xbf6c7fe1, 0xfb213354,
+    0x651476af, 0x732e6abc, 0xbf639199, 0x8d3e801b, 0xba94b439, 0xe0d42f75, 0x218cc7ee, 0xe938d406,
+    0xc2e60a84, 0xc44ae14c, 0x01e0bf52, 0xd315b235, 0x46f8905a, 0xa850ef99, 0xb000c17d, 0xcd1809c4,
+    0x4ffe0647, 0x1ce9a4d7, 0x2f1ff627, 0x26bef57f, 0x3d56ac0e, 0x2b1b5aeb, 0x418647e5, 0x7dad644d,
+    0xb3aa22ba, 0xed94d712, 0x3d31a6b5, 0xd044ae95, 0xceebc23f, 0xbe4bbdf9, 0x8f706c32, 0xcf9f7f74,
+    0x28ce1d56, 0xe1ce3b2c, 0x2151442e, 0x165e9c8b, 0xec556c26, 0x804278c8, 0xd49f915b, 0xdff4375d,
+    0x0dfe942c, 0x569ec1a5, 0x4340e530, 0x31c16da5, 0x46021a25, 0x70dd3502, 0x28be2434, 0xa4075c6f,
+    0xec3e31a4, 0x4856ac98, 0x58736443, 0x655f8e8c, 0xaa26ee68, 0x1d786498, 0x395ba624, 0x9b28961a,
+    0x42d92ac0, 0xbf0a048d, 0x404fc829, 0x1eb5d549, 0xb5857f8b, 0x8a5f73bb, 0xbf2036af, 0x20269113,
+    0x992143ac, 0x0c608d18, 0x9e368505, 0x7ec45095, 0x53d7149e, 0x0f9fca64, 0x5184ac15, 0x4fc3dedf,
+    0x872ea84d, 0x94a46c5d, 0x834cd69c, 0xf48a2fd1, 0x97c49fca, 0xab26afda, 0x9e9cd201, 0xf6c9a5f4,
+    0x801c89b6, 0x58fe726b, 0xb1acd140, 0x9a82b7fa, 0x830ec8d7, 0x605dedc7, 0xa6d5203b, 0x58452948,
+    0x3f5cb821, 0x3643e229, 0x247001bd, 0x9300479f, 0xa32fc3d8, 0x89d6d1f0, 0x90387f6e, 0x26329c6f,
+    0x7fd070b7, 0xbf3f8383, 0x01d1a0e7, 0x1f938ab3, 0xc5497548, 0x8d960f54, 0xb8e561c0, 0xbc08caf7,
+    0x24c384bb, 0x8ae545b4, 0xc71c4b17, 0xada79098, 0x36b0e37e, 0x082b0617, 0xc04e224b, 0xccaecb4c,
+    0x0e698ab1, 0x5707a12e, 0x8ea2e5ec, 0x5e74a84b, 0x7168a805, 0xd1e8887c, 0x5224873c, 0xda5cc05d,
+    0x7c764bdd, 0xaab8bbae, 0xf3a791b4, 0xb204a295, 0x12505904, 0xaf76cdb4, 0x7eea5cfa, 0x7ba06525,
+    0x58fbe942, 0xd531b546, 0xf898ac6a, 0xd33d39f9, 0x66d7fe53, 0x5b7dd2cf, 0x2de219ce, 0x4bb99a60,
+    0x56113a0c, 0x2c6d51fd, 0x22570ac4, 0x058e54e8, 0x095928e3, 0xdc5bce1b, 0x49485829, 0x675ad75f,
+    0x1dae3430, 0x1e49c754, 0x701b2f9b, 0xec2b6a51, 0x950500ca, 0xc24cb7a8, 0xee1dd990, 0xe05eec63,
+    0x97c63612, 0x1486efb2, 0xda55060f, 0x6effa4d6, 0x94a1f232, 0x33feab9d, 0xe1aada63, 0xf290382b,
+    0xd7c12658, 0x8b85671f, 0xf5ea0224, 0x857eb7b9, 0xa53c9572, 0x4480ef7c, 0xc9a90959, 0x043c789a,
+    0x4b262d76, 0xb5cf9914, 0x89a1e6f0, 0xff7d3339, 0x77bfe44e, 0x0b143906, 0x029de9d8, 0x018324ed,
+    0x243acb16, 0xc19a3027, 0xc506e0d0, 0x81bde78d, 0x73f2290d, 0x0f9cca25, 0x008f4386, 0x23fc9cae,
+    0xfc7242a1, 0x6e32d560, 0xbc29e1b5, 0x73e8dee3, 0x906a940d, 0xf73a4e62, 0x37a48888, 0xfe3f2886,
+    0xfc1258bf, 0xb04a6117, 0x9ec93415, 0x5a7a3720, 0xd68fe5fc, 0x080f027a, 0xd05ff633, 0x33a4b9cd,
+    0x9845a67f, 0x973918aa, 0x70179a9d, 0x0008e96b, 0x9abd684e, 0x66cafe7c, 0xc8e172fc, 0xb5f59efa,
+    0xc8304115, 0x2be93526, 0x6807fc3c, 0x6186e16b, 0x30b242ac, 0x84a31bfb, 0x7fc824e8, 0x3ad4665a,
+    0xd9d4aa58, 0xd7fe2d0c, 0xc8e79594, 0x1005af51, 0x39540129, 0x0228d59b, 0x8bea26a0, 0x42d074ea,
+    0xb5365b58, 0xa9ee5002, 0x99a86a62, 0x56082221, 0x78533741, 0xd78fe35d, 0xece5b61f, 0x8bfc5028,
+    0xaa080e1d, 0xf621be1f, 0x6f7b0e50, 0x318ebb67, 0x7565167b, 0x826ecb6b, 0xe4c2e704, 0x2609fd3a,
+    0xc771bd49, 0x23f50611, 0xf85816ac, 0x297f21fd, 0x92f3055a, 0xc15d385e, 0x1eb8a2e0, 0x078ede75,
+    0xa54ba1fa, 0x290feb31, 0x2ddf25fd, 0xe4a4bd73, 0xc0241ac9, 0x313fb97d, 0x1f468378, 0x58584547,
+    0x10224210, 0x7df1a860, 0xa91c37a0, 0xf2d93e0e, 0x3e34b7ec, 0xc2dd92bb, 0xe1c597cb, 0x3cf634d2,
+    0x59c68bd6, 0xcc5c5495, 0x491eea6b, 0x54c53ab1, 0x7315d479, 0xe6f34ad1, 0x62ffb240, 0xc7e53854,
+    0x555f1f6a, 0x9b78db7e, 0xf9e2711a, 0x546d98f3, 0xbf6d45cb, 0x7e913015, 0xf59248c2, 0xc2ee0f99,
+    0xd0fb1803, 0x1eb84fb5, 0x74b41fbe, 0x07155c04, 0x3e745fc7, 0x1e22a128, 0xf8833004, 0xe815584d,
+    0xcd0c4d4b, 0x48341a41, 0xd668550b, 0x223a6121, 0xe1a9cfeb, 0x685c20a4, 0x2f01f8b8, 0xf4839e68,
+    0x1eb96518, 0x6b43c94f, 0x2313da4a, 0x8e914374, 0xc31a4836, 0x6c350da4, 0x7b6f4aaa, 0xaecf308b,
+    0x90ad5be1, 0x000c8187, 0xa78cd3e8, 0x024de3f5, 0xd695ada7, 0x62a8976e, 0x34f593ac, 0x6fadbaaf,
+    0x2fc1eebf, 0x68fe8b00, 0x38cb1401, 0xaab37b60, 0x9e76c907, 0xc262fe71, 0x03e9edc2, 0xeb7250f7,
+    0xd872a653, 0x2e2c6dcc, 0x90b198c7, 0x69eb1983, 0xf6c1a864, 0x3e7126e2, 0x572ad0f9, 0x1433e7ac,
+    0xb738b768, 0xcf1aa70a, 0x90f5a285, 0x1c7bde9c, 0x459bd05a, 0xcb1f9227, 0x57913e71, 0x8f62dead,
+    0xbb9c5b72, 0x329cadd3, 0xfe37cf20, 0x717e431c, 0x147e7ff9, 0x49b58b93, 0xc392d617, 0x5ba0632b,
+    0x75210a55, 0xfe7493f4, 0x28bc4485, 0xc184aa9d, 0x5cc78c3e, 0x83d73932, 0xbb6a37eb, 0x1d16500b,
+    0x7842cf52, 0x1529a348, 0x62d71d05, 0xe2ecab08, 0xc98edb4a, 0xae1f9744, 0x61eb0265, 0xb4a19b91,
+    0x03a2a10a, 0x9f64f70c, 0xc3aba9c8, 0x402a36e7, 0xdb5b621f, 0xa02a2cd2, 0x60a71fc4, 0xe1d9baeb,
+    0x00000000,
+    0x49a784bb, 0x0000000d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000017179869184 */
+  { 0x00000000,
+    0x01a12260, 0xa728f21a, 0xf24b4e40, 0x8c557821, 0x323fca24, 0x56dbfcd2, 0x6489595d, 0x57215b56,
+    0xe4370e36, 0xcb44f146, 0x4752a654, 0x6ee88e08, 0xb84aaf34, 0x9ae7bfe8, 0x5868890f, 0xc5121bea,
+    0xa84fce68, 0x693a5637, 0x24a5f8bd, 0xf6e0a68e, 0xe8f29df4, 0x8547f992, 0x3379bbf8, 0xdc9cbdce,
+    0x79534a1b, 0x1a7b314a, 0x4a143343, 0x5357511d, 0x4a7f6014, 0x8560f8b0, 0xded9306d, 0x13ccb7d7,
+    0x4d369815, 0xee41c00a, 0xdae5ad05, 0x31686ab8, 0xb37d0780, 0xac7d43d5, 0x8a86e2d4, 0x5eb42060,
+    0x6551c262, 0x31bcb8d0, 0x2b8c37ad, 0xb4ef69ad, 0xdaaf48d3, 0x7e36bdb3, 0x5b81b1d3, 0x9f478463,
+    0xd24a9706, 0x4787a3e9, 0xb4e40229, 0xd9b762a4, 0xd48df097, 0xde9734f5, 0x74db8848, 0xda5e0005,
+    0x8f3091b8, 0xb7e2fdca, 0xfda4f7f8, 0x9bb54af2, 0x653348b1, 0x5e71291a, 0x37f7ce0c, 0x454a6788,
+    0x670b1440, 0xfd022d2a, 0x6e87dc05, 0x86cc81f2, 0xd6facd69, 0xba961767, 0x7ed820d9, 0xfd6c79fd,
+    0x6950f444, 0xf2279d44, 0xd5138ab4, 0xe50d2238, 0x7b4b748b, 0x0042226d, 0x3cb1d6b0, 0x33962966,
+    0xd826e0fe, 0x0ee7deb2, 0x35206b87, 0xd122176d, 0x7520b730, 0xe37c8a48, 0xd80da48e, 0xe7a09b40,
+    0x2159c850, 0x9a16c7a0, 0xd637cd11, 0xd413aba8, 0x84a838fb, 0xd19b47cd, 0xca910d9f, 0x1c50c543,
+    0xf7134c12, 0xcf703f78, 0xd7378aeb, 0x8ef49755, 0xef24aac0, 0x20c13243, 0x53fa7c9c, 0x8f72d8a1,
+    0xbb24097f, 0x8434b061, 0x17356b23, 0x53dda0d4, 0xd1196fa6, 0x89db3b73, 0x7337a919, 0x78636381,
+    0xa5215bdb, 0xfb1a8168, 0x791aac0e, 0xa03e1271, 0x4f3cc3b9, 0x554295d8, 0x9841797d, 0x8840671a,
+    0xf4f3ab60, 0x90af5de8, 0x374a7d49, 0x0bd3a33b, 0xeac96024, 0xea548f25, 0xde74f7e9, 0x004669df,
+    0x119f6e41, 0xda5ac1fe, 0xb5e5b277, 0x0bef9b63, 0xcd38e71a, 0x6c1cac17, 0x07666290, 0xe5bcab57,
+    0x6ddcc741, 0x79f29a1e, 0x7fa6f8b0, 0xa949dc9f, 0x843029c1, 0xf7dbe67e, 0xbe09e5a9, 0x2b195244,
+    0xa2fb56fa, 0x2e800335, 0xc42e0ed8, 0x77e1960e, 0xf081cda7, 0xd9088c53, 0xdb4408e1, 0xa8b40115,
+    0x58647895, 0x6e67290b, 0xfedf2df7, 0xe47b0a41, 0x4efe5b7d, 0x60ec7b60, 0x1f884e06, 0x95855172,
+    0x149a9659, 0x57c647fb, 0x75255d0b, 0xb47f0b40, 0xbcd36f8d, 0x37daf951, 0x829de6d0, 0x658092a9,
+    0x52eb47cc, 0xf73a01fb, 0x8cbcf462, 0xa4d6e4f9, 0xc5e8afd0, 0x43e20da0, 0x45493bac, 0xb5c8350f,
+    0x4371aa4c, 0xe861e800, 0x4db04119, 0xe07e8e1a, 0x7a661af2, 0x2711ed5e, 0xfe19533f, 0x5287260c,
+    0xc7b0f7e1, 0x88e3352e, 0xf4533eaf, 0x80669ab9, 0xa28fe724, 0x30ca1563, 0xb1a6b01e, 0x6b973c80,
+    0x28bc304e, 0x05662297, 0x5251e08a, 0x081b8669, 0x357b0952, 0x9dab3491, 0x3783ef6b, 0xb893f903,
+    0xa0c48d91, 0x39959e49, 0x77b46202, 0xd4a4558e, 0x96007c22, 0x302bac88, 0x8e7e7c71, 0x98568d5e,
+    0xfef09f8b, 0x052b0325, 0x3704c291, 0x60dbdf53, 0x0996482b, 0xa537870c, 0x2f3a5b64, 0x11297903,
+    0xadde2c10, 0xf3a7f986, 0x59b9104f, 0xd6d32ab7, 0xefb15199, 0xab4c7f94, 0x4984ae6c, 0x0f33b4a6,
+    0x3aacaa37, 0x2cfe12dd, 0x3dc68cf0, 0x7aaef853, 0xf5c48cd9, 0xfc100c0b, 0x124666e2, 0x5c0b41ce,
+    0xc061650c, 0xfe93988c, 0x63f98188, 0xc92d9184, 0xd01f9e37, 0xcbaf3b38, 0x2b51e2cc, 0xec09286d,
+    0x8fed432b, 0x6acb9640, 0x61f121d2, 0xea503be0, 0x65fc78ec, 0x9fcf95b6, 0x1451a991, 0xe79bbccf,
+    0x314d1776, 0x05d21127, 0x325ee146, 0xd4feea38, 0x40188287, 0x28955235, 0xc166cb9f, 0x11a0b6d2,
+    0xb04aa736, 0xd2115549, 0x6f27b2f0, 0x31b58443, 0x14b201c1, 0x320b3c58, 0xd0ea6a16, 0x8dab0f0e,
+    0x32fcb28c, 0x4dde9cac, 0xc0074864, 0x57a7a28f, 0x665db503, 0xabab0817, 0x3eca0204, 0x3e8616af,
+    0xa36fdc29, 0x96ba0f80, 0xb7338c9f, 0x1706c4f7, 0x6cc33e5c, 0x363f6cc2, 0x13637aaf, 0x2470f97c,
+    0x6b205950, 0x7c8f9a92, 0x4df0eb54, 0x827eb16f, 0x6f15f51e, 0x9d804e70, 0x778841ac, 0x3f36e5b4,
+    0x60116244, 0x8223579e, 0x5bbbf379, 0x87e28af8, 0x31671272, 0x420cb438, 0x36665663, 0x9a937e48,
+    0xc3bf3467, 0xf73bf6c2, 0xd0204a01, 0xeec09874, 0x90c8f9aa, 0x4c17bf45, 0x072f2511, 0xaa4e147d,
+    0x9dba1da2, 0x887c691c, 0x3244e780, 0x202373e6, 0x44c945cd, 0x6ba39a71, 0x8bd52117, 0x99b4eb72,
+    0xedcd1a83, 0x79edf800, 0x5dc1fb63, 0x1159ada2, 0x2d71b5d2, 0x5c9b3f9d, 0x9bbfa7f3, 0xa90b46b1,
+    0x2a1aea92, 0xb3191bec, 0xf9131d07, 0xda9bd344, 0x4644241b, 0x6a885951, 0x9bba641b, 0x943d3d0c,
+    0xfd95645c, 0xd0be1f1d, 0x43866bd4, 0x44fb6350, 0x00f6e958, 0xb4230b70, 0xed59fec3, 0x03c13dc2,
+    0x04a391c4, 0x8c1fad50, 0x19f8a2d6, 0xc67df811, 0x60eb6335, 0x32ed7f36, 0x094d8260, 0x77f8d8c3,
+    0x2c01e589, 0xb6c4e760, 0xa12709da, 0x10e60040, 0xb2ef7206, 0xe12b5fd4, 0x88b957d7, 0x02642235,
+    0x77cf8e6c, 0xb1a83cab, 0xa343d5b1, 0x1e0183de, 0x313d1e01, 0xc4bae696, 0xb57566cb, 0xda0b06c6,
+    0x2a73bd56, 0xa05e4a2a, 0x11f38bb3, 0x5c2c2b42, 0xf53fec85, 0x9faac6f9, 0x6cdf14ef, 0x56b14463,
+    0x192c1ac6, 0xa575d0a6, 0x44334e02, 0x7f54c4b1, 0x2a250de9, 0x9dbc0d63, 0x66edd23d, 0x79758752,
+    0x7900faa0, 0x70b4eade, 0x6444a293, 0x847b838d, 0xabd7de23, 0xc3c94bae, 0x4f843e8c, 0x94fbb1dd,
+    0x0fb405a7, 0x9028170b, 0xf0d86dc5, 0x9db3c03b, 0xaaa1b8a7, 0x25a30857, 0x0f7ef780, 0x484977eb,
+    0x29f2d524, 0x93aef674, 0x22186a36, 0xa05ecb5a, 0x82f31220, 0x1766a584, 0x577b5ff6, 0x5799848a,
+    0xaeed8d5f, 0x9f478e8f, 0x60457308, 0x7d9039f4, 0x482f8062, 0xd23aa844, 0x922fb388, 0x5ca29d6d,
+    0xee79206a, 0x945e2f46, 0xb6b29ac4, 0xf3f8e247, 0xaa0c9c2e, 0x1cc76473, 0x86aa2513, 0x5e5005d6,
+    0xab520fe2, 0x29e70cb1, 0x05c14669, 0x5df17e47, 0x59518c04, 0xdce68585, 0x0bb046ca, 0x6c7910e2,
+    0xc97658f8, 0x24451c01, 0xcd2962ee, 0x323d18c7, 0x84eb7067, 0x7cd3a6ed, 0x42f18c35, 0xb19e5922,
+    0x8e16d80a, 0x8726649b, 0x2909917e, 0x12687be8, 0x509154e8, 0x09fa3442, 0x5df4c309, 0x6fc4d178,
+    0x253b2874, 0xcd15eebd, 0x07ee377f, 0x70463780, 0x5907fb96, 0xb92bfe7d, 0x23e1fe89, 0xb0621cae,
+    0xd6fdabd9, 0xcef97039, 0x07788208, 0x017fbe3d, 0x2c4ec30c, 0x8696038a, 0x3c9d9c2a, 0x561d2201,
+    0xb668aad2, 0x5e495295, 0x29e15393, 0x01b950ec, 0x83e0f2cd, 0x923b7f1a, 0x856841a4, 0x467d9645,
+    0xc93cd915, 0xa65b31cd, 0x707de2c4, 0x47190339, 0xe8ac0cde, 0x81643928, 0x335b76f1, 0x51680cda,
+    0xf362c063, 0x51a22841, 0x5d408628, 0xabe264d7, 0x6dc6e2dc, 0x56d2e1c8, 0x99a8bb59, 0x2ece0eae,
+    0xeb678915, 0xb10d18f9, 0xab2580d9, 0xffe94102, 0x815ad7d4, 0x0c6ebf29, 0x63fea590, 0x56f71bbd,
+    0x96901981, 0xa04654c9, 0x8c13a5e5, 0xc617f94c, 0x924f6763, 0x88e33f36, 0x5b964e9a, 0xefa376d0,
+    0x8a6cb338, 0xbc6f91f3, 0x83080cf1, 0xb0127fd2, 0xcd2c5556, 0x3813975a, 0xdc78b3d9, 0xa76a4bb2,
+    0xd8f268be, 0x44d5b4db, 0x5c0f4596, 0x83b89776, 0x8bf54141, 0x7fb832f0, 0x749222d4, 0xb3aa5a8a,
+    0x0668ad2a, 0x045c07a6, 0x92ed9b85, 0xd0948edd, 0x53c98506, 0xa95bcf2c, 0xab94219b, 0xfb279987,
+    0x06c86403, 0x61679b57, 0x3fbb358f, 0x1c5507ce, 0x975c6fed, 0x52b547c6, 0xb31ba178, 0x0ec7cb4a,
+    0x0330d918, 0x0a5edde8, 0xb306f4d2, 0x8cf54595, 0x74831811, 0x6a9ed1f2, 0x4aa3bccd, 0x2daffa4a,
+    0xed169f24, 0x2fba7dab, 0x17478796, 0x7989bc8b, 0x066cacaa, 0xcee9b0a6, 0x393c0893, 0x4afd4e0b,
+    0xd45f6d63, 0x7e04f803, 0xdeec4e33, 0x8283da21, 0x8c51a898, 0x4d6f40c3, 0xf0b00ba6, 0xeaea7966,
+    0xe17c8a61, 0xdc41a3c6, 0x45bfcaee, 0x617c9720, 0x2c719067, 0x76c057c9, 0xce0867f4, 0xfce0a407,
+    0x8519a3ac, 0xb9e781ec, 0xf88e7d6a, 0xbb3d1cd5, 0x67ce71a0, 0x98075a02, 0x75bb3e65, 0x16612a2e,
+    0x71d26c1f, 0x045e83de, 0xeac14f0c, 0x55970769, 0xaa9b5bdf, 0xced7bd11, 0x1d47342b, 0x81559763,
+    0x94f21bb7, 0x2fd8ce34, 0x50c0bc1d, 0x5c1ceb0b, 0x283e93e3, 0x49792445, 0x549b4567, 0x5adcc60c,
+    0xd36b798d, 0x5dc78e75, 0x673a3fec, 0x910b931a, 0xb9d0abd0, 0x9535fe04, 0x1ae8fe0a, 0xb862f336,
+    0xe4e72850, 0x90b4352d, 0x1ddb23c6, 0xe53d832d, 0x31a4d1d2, 0x8d2a2465, 0xa1355127, 0x25bbcf5d,
+    0x21b5d4e4, 0xabebf472, 0x7b46ee56, 0xe6887cc4, 0x330aa194, 0x2249d6b3, 0x17bea84b, 0x06708ba5,
+    0x3c0d27e7, 0xf9676a57, 0xb693dbbe, 0x36432ed9, 0xd6cbf423, 0x51bf605e, 0xf9fb12d5, 0x5e0df179,
+    0x0ee80e63, 0x994d5230, 0xb37f363c, 0xf5076648, 0x59aa122f, 0x1b320201, 0xcc426149, 0x6d9245dd,
+    0x5b00d381, 0xa27db705, 0xc2d4c482, 0x595c70b0, 0x91ae5c17, 0xdba65dbd, 0x0506fbcc, 0xee80c7bb,
+    0xca3d6665, 0x58bca1b4, 0x21a12a5c, 0x26222904, 0x647daa95, 0xcbd47046, 0x0beaae56, 0x0541babf,
+    0x1ab8d5fc, 0x58e029e9, 0xa7165cf9, 0xe71b0112, 0x70f20c7e, 0xf7b5f79f, 0x49346372, 0x904cadb1,
+    0x2188a8a3, 0x23fabf54, 0x6b0be33f, 0xc500eeff, 0xdf8f249b, 0xdcea8e79, 0x56a1d3eb, 0x80df090e,
+    0x1be2df8a, 0x4d7729d7, 0x7909b465, 0x637fd402, 0x1de00928, 0x9450b66f, 0x9deb375d, 0x6486d9f1,
+    0xdb63589b, 0x40ceeed0, 0x0a7dcede, 0x8e4ac19b, 0xe793f0b0, 0x482d2391, 0xb8d0a5c3, 0xf38f4696,
+    0xe4704a80, 0xbe84fc45, 0x00f79378, 0xc95fd8b3, 0x6d8ee705, 0x140ab6f2, 0xf7beea88, 0x551ce00a,
+    0xb6a67190, 0x0261aa54, 0x126b5a5f, 0x407efc11, 0xf9680621, 0x5d10acde, 0x3be2a431, 0x5f798823,
+    0x30a4edfa, 0xf348d952, 0xc8b052a5, 0xd88af7cb, 0x1b22d2c9, 0x95d6d017, 0x543498ed, 0xf0c8f5f0,
+    0x92382463, 0x55b5df62, 0xdc878512, 0xf6c1d000, 0x4974dbfa, 0xef8b1577, 0xcd0c93ca, 0x049d6f5d,
+    0x1602ad28, 0x65836454, 0x2d39373a, 0xba7081c4, 0xf314a910, 0xd82e36c3, 0x810b2ec0, 0x1599c8d4,
+    0x85b0bec4, 0x30b38b43, 0x241acec5, 0xc85fb99f, 0x48cff8bb, 0x96e1c373, 0xb5e6d7e6, 0x4c9cde84,
+    0xdfae60c0, 0x98838eb8, 0xb9aeb400, 0x035aa32b, 0x74e93ce6, 0x34d959f1, 0x8f5e66a2, 0x7fd3e096,
+    0x246347ef, 0x96999118, 0x2eaa5cf8, 0x38c1f518, 0x75d20625, 0xb685fd87, 0x7a939e01, 0xa1fb96d9,
+    0xd9f19835, 0xb22ce813, 0x7db3a21c, 0x91ceb47b, 0xfce79508, 0x68ab3904, 0xd217995b, 0xc363deb1,
+    0x858097f4, 0xa30425c9, 0xcc704bec, 0xfee88bec, 0x1e3e7cdc, 0x0c82ae6d, 0x91657ef9, 0x24dab763,
+    0xc20379a8, 0xc822b99e, 0x14294d2d, 0xc936bb41, 0x875c66e9, 0xa28c5e15, 0x849c5743, 0x75aaf0d0,
+    0x6487d879, 0xbecb1a0a, 0x8b51d86c, 0xbcea9d55, 0xae0a82f3, 0xa538eff7, 0x10b21dfd, 0x7b38f71d,
+    0xeebe9a39, 0x45eda28f, 0x31860dea, 0x5a7884a9, 0xdbd17ecd, 0x67c1ab2f, 0xac5edb96, 0x85e1082f,
+    0x564e4bd8, 0xe95ef9f8, 0x16c025b5, 0xae43b232, 0xc72dd566, 0x9f4040cb, 0xb7ffec7c, 0xbfba9348,
+    0xa38d56db, 0x648147f0, 0x9e17f4ca, 0xa56ab063, 0x69e75220, 0xc4002cc0, 0x135e2d69, 0x118c39c1,
+    0xbe7aaf48, 0x9deed97c, 0xdc9a6638, 0x65e8bf86, 0x08bb60a4, 0x00c40168, 0xfaad2508, 0x077e48ba,
+    0x38472c8a, 0x154bfb88, 0x98874a7b, 0xfa977694, 0x4de82601, 0xe71323b8, 0x271e87a2, 0x1d9ef086,
+    0x7f3a0091, 0xbe2630ff, 0xb463e285, 0x55b16ab7, 0x6e6391f3, 0x47fd46eb, 0x8602666d, 0x4c195a48,
+    0x9a71eaab, 0x966fa21d, 0x74437494, 0x38e429ad, 0x6d6daa88, 0xaaeeb50d, 0x8a1bb59e, 0xfa562026,
+    0xc2baef24, 0x68ee3009, 0x8c006ca9, 0xb8384d8b, 0x9c3efaa8, 0x725e25b5, 0xf8a93e83, 0xf84ce75a,
+    0xfbc75650, 0x3ddae12e, 0x86564a18, 0x4934c7da, 0xb14ae2fd, 0x99e6d1b3, 0x59d72299, 0x67074a45,
+    0xc2c33f92, 0xc297eaa6, 0x106f7fce, 0x201a6f27, 0x5dd879be, 0x3b7935e3, 0x2c45c6a9, 0xc1211d8f,
+    0x7d112660, 0x81ab33c4, 0x43a65f2f, 0xbc21a1c5, 0xa598c890, 0x00d02337, 0x5bdff23b, 0x9edbc74c,
+    0xb2079b3e, 0x3aa6521e, 0x0f44ac8f, 0x20af04fd, 0xb7ee5d8a, 0x3d8d30ba, 0xd45eddd8, 0x453dbbd6,
+    0x0aafa0d9, 0x3b36aba4, 0xec7ca662, 0xc0ce861d, 0x90e1e037, 0xb78e1392, 0x60aac7c8, 0x594f43bf,
+    0x5aab6530, 0x80737871, 0x4fa28093, 0xb9572c24, 0xf2bd7ac7, 0xa108950c, 0x1a75256b, 0x5e239743,
+    0x41d7fe45, 0x61e1d70d, 0x15d125e3, 0x0157e94a, 0x3d350549, 0x42604034, 0x854b34de, 0x0a25bafb,
+    0xb398ffb6, 0x89dc59a1, 0x9c168639, 0xde785162, 0x0d8a0748, 0x1fca3de1, 0x7b6c0fbe, 0x9f533c28,
+    0xf2e1735f, 0x3af122ff, 0x2aeca714, 0xdce417a0, 0xcd06a3d6, 0x83d634a0, 0x40589e80, 0xbeeab9be,
+    0xbc30c882, 0xeb75b026, 0x5de4f54a, 0xcdc0545b, 0x7f929d88, 0x562e3274, 0x44bddda7, 0x392f393a,
+    0x3f024f25, 0x39831130, 0x4f1405c7, 0x6772fbd7, 0xb86a4588, 0x52e236df, 0xfa852b76, 0xd7dc5f31,
+    0x758f791c, 0x0be4d6d1, 0xb826feba, 0xc875e29f, 0x321a3705, 0x1d5a9c0b, 0x782c3802, 0x56aa8e72,
+    0xd1b3f7c3, 0xc570c872, 0x4f4ced3c, 0xb3845578, 0xb0e19a02, 0xc2104ecf, 0x176a7cb5, 0xdf9a6590,
+    0x003a972a, 0xe66186ae, 0xf4f3de81, 0x3be98a5f, 0xfe7f0b94, 0xfecb2958, 0xcc928246, 0xf12b75ea,
+    0x13b360d3, 0x62d5ab03, 0x4c5938d7, 0x9c37b779, 0xab3f5548, 0x7738d56c, 0x3bb0221b, 0x90a926da,
+    0x20bc5530, 0xacf8e214, 0xbd0b2c05, 0x87bdf835, 0xdc67cbda, 0xe9af1f97, 0xd297f0f6, 0x0a640786,
+    0x093086bf, 0x345158cd, 0x76768bce, 0xcde362e5, 0x5db0a129, 0xaffe8de0, 0x982049a3, 0x1b0d504c,
+    0x269e966a, 0xa934f933, 0xb293c780, 0x1bf610b5, 0xafb923b8, 0xcc9b9ee6, 0xebb833d0, 0x4181b705,
+    0xe72b2bd3, 0x94ecc83e, 0x43de0eea, 0xe68fd88d, 0x2c280274, 0x16a0eccb, 0xc809f6f9, 0xf69a7cdc,
+    0x0f7dc8ad, 0x79696812, 0x83fa2bc2, 0xfef86a99, 0x3ffb45af, 0x4dbcbb56, 0x566e5fdd, 0xd52a0a3c,
+    0x28acee47, 0x5cd6190e, 0x3324bd86, 0x7369cb02, 0x806d1d26, 0xe675fac7, 0xe5b71fc1, 0x53cb087a,
+    0x3dcd3f8f, 0x37cba19f, 0x40b6f2e2, 0xd0aec950, 0xcfdee79e, 0xfd99edf7, 0x7eacd0ac, 0xaa06aca3,
+    0x00000000,
+    0xa4d3c25d, 0x00000006, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000008589934592 */
+  { 0x00000000,
+    0x9b2cad5e, 0x919caf3b, 0xfc2d8ca5, 0x42fba7f5, 0x76fd3bce, 0x048a558e, 0x5f88416c, 0xb4b58c77,
+    0xc206debb, 0xba5b9a4b, 0xbba0679e, 0xd5573522, 0x0acde90e, 0x205b9e5e, 0x73f50b28, 0x5bf810ea,
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+    0x5e3f7524, 0x812c5793, 0xe9651c5d, 0xb6189e3f, 0xd9d3e918, 0xe5340482, 0x8ce1969f, 0x03558e2a,
+    0xa50cb9ce, 0x0db1134c, 0x923c201a, 0xe3d54daf, 0x2a8a9894, 0xe3e0d0e7, 0x25b6970c, 0x6a0df85d,
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+    0x905c1bee, 0x6161fd9a, 0x948483b6, 0xb42c45bc, 0xe3da1464, 0xd0609cbb, 0xfeebf3d8, 0x4060ba14,
+    0x63dc562e, 0xc55bea99, 0x6844ee29, 0x4dbd60be, 0xfba4d769, 0x74275816, 0x32597ac6, 0x6a17cd7d,
+    0xbbe82818, 0x7906d0d8, 0x1427293a, 0xbd8279e3, 0xdf9bc627, 0x8dc85436, 0xf696360e, 0xecb2ce40,
+    0xf2cd92bc, 0xa610841e, 0x2bc5989a, 0x2cf20257, 0x89ea805f, 0x7648b2f4, 0x83799d37, 0x98149899,
+    0xf01e5feb, 0x1179c04e, 0xc11be059, 0xd395c460, 0xf20e4f17, 0x9dc7a683, 0xfdabb7a6, 0xca788e21,
+    0x9cad902b, 0x2d15ce3b, 0xe9beacd4, 0xe7570744, 0xc273e422, 0x1243b554, 0x45e1f702, 0xdd28cdfc,
+    0x331dd32f, 0x7fd9b6df, 0x05b04b6e, 0x20f0cbf5, 0xf7221474, 0xf472e7db, 0x84e0d015, 0xbb286467,
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+    0x679e3590, 0x6f20e9b4, 0xc61db823, 0x0beacf83, 0xabf9ac46, 0xc3775abe, 0xf89ab2f0, 0x9c704451,
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+    0x4102b397, 0x31e3be36, 0x226f260b, 0x2a33ef98, 0x5da2e787, 0xd6200c70, 0x91e53409, 0xb6b382e5,
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+    0xdf417219, 0x284c173e, 0x33e52eb3, 0xf7d00c5e, 0xe2ecf53f, 0x840856c7, 0xd29f09be, 0xa1aa0780,
+    0x85be1c91, 0x96e61681, 0xfd7f9c51, 0xf6d62700, 0x2e5b227d, 0xfb7904ae, 0x16ebca23, 0xfddd8a29,
+    0xe5af4805, 0xe28ae67c, 0xa9be6c20, 0x3327ab2c, 0x62350baa, 0x88fd17ce, 0x43274aa8, 0x201b5470,
+    0xa0a552f3, 0x0efdd57e, 0x233d2e52, 0x97c10a3e, 0x09da81ab, 0x840c6dee, 0x0be8d39c, 0xd08ed3a8,
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+    0xd4ed37b6, 0xa5446737, 0x4148f248, 0x722ad284, 0xeb2a283e, 0x0d7ffe0a, 0x5a4d284b, 0x27e71947,
+    0x1df4ede6, 0xa0fd349c, 0x08643933, 0x6d216898, 0x7c5cbc1d, 0x73c56659, 0x0c8ba864, 0x8a255f52,
+    0xcf6ba3d5, 0x779b6197, 0xfc868662, 0x1deff841, 0xb64f9d08, 0x7405239d, 0x3bf8da72, 0x24658f11,
+    0x215b4047, 0x17f15619, 0x63d67bbe, 0x17a71cf8, 0x37757e49, 0x524fa565, 0x3fd885c7, 0x4b479195,
+    0x4819ad70, 0xc2dc6031, 0x5f38cc7a, 0x77abe61a, 0x7c66bf43, 0x30952836, 0x22fee66e, 0x5294cff2,
+    0x4ed3b030, 0x07433491, 0xc61f3783, 0xb6860297, 0x36c342ff, 0xd0eaa053, 0x8d27f934, 0xc3826bb4,
+    0xa1a1dc0c, 0x93e82970, 0x16283945, 0x07635e11, 0x6cdea45b, 0xf5f49324, 0x638aafd7, 0xb2de2931,
+    0xa6b71685, 0x6ea77362, 0x0b7abe15, 0xe67d6423, 0xd77d8819, 0x5efffbb7, 0xa7d9b595, 0x095fd8c9,
+    0xbaa692be, 0xd9dfaf68, 0xd9e7b3f9, 0xeeb7b5d6, 0xb73f2ee8, 0x522b96d0, 0xb9e8deb5, 0x3230589b,
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+    0xe828c10f, 0x075c8ddb, 0xac00ba38, 0x3f943a58, 0xf801bece, 0x3a586282, 0x6569766e, 0xa85f183a,
+    0x73953c1d, 0xf1f8cfbe, 0xcf61f867, 0x5083bdf0, 0xec6d88ef, 0xc194b993, 0xab67dd0c, 0x6ad192f8,
+    0xd84416ad, 0x61a5c778, 0x8b27c6fe, 0x86e78555, 0x42817840, 0x8cf9c892, 0x45d56084, 0x11ea621d,
+    0xc0a09579, 0x1bba4bd5, 0xe3b18da6, 0xc7145a14, 0x5bf880ab, 0x90cc8d48, 0xfc92a312, 0xc6118f75,
+    0xcaddec11, 0x7ab26adf, 0x14f33c98, 0x5135e7c1, 0x1e816baf, 0x29f9537a, 0xfe10cb81, 0xd0f9af1f,
+    0x9fd4501f, 0x1768f49f, 0xb546b6d5, 0x20fe2559, 0x0c6ac237, 0xd89ce1c4, 0xdf7a79e3, 0x9d83aedf,
+    0x55b3f293, 0x32643a27, 0xed9bb6d7, 0x89a5b96d, 0xee365787, 0x6c939d8b, 0x93169804, 0xd9c21019,
+    0x27a13336, 0xc06bf31f, 0x30192ed7, 0x03434f86, 0x1a8183e9, 0x620a2467, 0x55ff3945, 0x81bd1106,
+    0x3677e66b, 0xf063e260, 0x27e42e92, 0xc0723e1a, 0xc79a71d2, 0x68666591, 0x8f96f9ee, 0x1cce0ad5,
+    0xbd87774b, 0xad69559a, 0xf88f04e4, 0xe4365d4a, 0xaceedd11, 0x56f32c1b, 0x62762eaa, 0xfb2806f1,
+    0x53953502, 0xe2dcba84, 0xcc5316d6, 0xb7537969, 0x1c26d52d, 0x94f49768, 0xc4bbfb43, 0xab09c5ea,
+    0xc4e53a69, 0xb3a3873c, 0x32888a1e, 0x81038c23, 0x22bf63e4, 0xc3db7172, 0xdde564d5, 0x2ce6a730,
+    0x0a2ceaa0, 0x409f8094, 0xa1b53235, 0xd71df155, 0xfb21ed0f, 0x0af04a73, 0xf0fba394, 0xb8dc2c3b,
+    0x8e4e0335, 0x38f3567d, 0x50b1e65d, 0xfde95654, 0xb78329eb, 0xccfb2e56, 0x3df997ca, 0x21444cd8,
+    0xa4d6868d, 0x1580ad98, 0xbfcad0ab, 0x1eab896f, 0x6aeba395, 0x3e2418ea, 0xeedb4dd2, 0x3ef65bba,
+    0xb899974a, 0x102e4a3c, 0x201d4f94, 0x01029bca, 0x0c98d22c, 0x7b0a11a9, 0x8dd3fa90, 0x515e8eaf,
+    0xc27bf51f, 0xe253e479, 0xa0514feb, 0xa6ffd427, 0xe65a7168, 0x6d5369cb, 0x24fc64bc, 0x75f2867b,
+    0x23e20bb4, 0xeb2ac5e6, 0xd0ec40f9, 0x541ef47f, 0x4d74fb8a, 0x17ad2776, 0x709aebc8, 0xac73c8e5,
+    0x1dd65aa3, 0x22240302, 0x7986acc5, 0xe48cb09f, 0x31247a12, 0xe5c8f124, 0xd361c870, 0xda19f73b,
+    0x990258ee, 0xfe72a15e, 0x714ca216, 0x241d99b8, 0x08581f40, 0x7cd30e68, 0xbdb4b8ec, 0xe4c5e79e,
+    0x43b1d87d, 0x202b813f, 0xa8c206e5, 0x4388d2fb, 0x3c593299, 0xd8b89ce4, 0xcb0780c8, 0x21a8d58c,
+    0x75c37464, 0x92ed90a6, 0xc2d13fab, 0x2e7afe0c, 0x98a41183, 0x7b391323, 0x6b90eef2, 0xf8e4e6f8,
+    0x2e31c066, 0x6f2a3869, 0x39f5bdd9, 0xfda4f064, 0x9d649f94, 0xa038547f, 0x8386a8e7, 0x6de66bdc,
+    0x132ee29a, 0xf05363be, 0xd8546410, 0x6a48e223, 0x8a3f0e8f, 0xc13a63bf, 0x5f67f6e8, 0xa48ff38d,
+    0xe0d296c2, 0xcda92901, 0x5ffbc715, 0x4b30ded5, 0x030c0abd, 0xd86aedd6, 0xe75e8359, 0xf9946a03,
+    0xcbe44a79, 0x9fb37011, 0xac8453e3, 0x1e338688, 0x69225a0f, 0x4ddff6a1, 0x0690141a, 0xb4e39819,
+    0x60e2df24, 0x836d4c07, 0x029cac11, 0xe45e9b3e, 0xa1ea1942, 0x5d485c6d, 0xd4473644, 0xdce43ab1,
+    0xb0572364, 0x05ac0690, 0xeaf477c9, 0xfd95bde8, 0x4a3b440a, 0x721ee9f5, 0x1195a25c, 0x75f1af43,
+    0xd9c8b503, 0xb70ff8d7, 0x403998d6, 0x7f452412, 0x9d0873d8, 0x724de9c3, 0x4e3a6757, 0x39d3d51b,
+    0x51af6abe, 0x70759d42, 0x45b5f699, 0xc7eb0f4d, 0xd44f5f6b, 0x4162f183, 0xce26b147, 0x08fdb6a2,
+    0x47d64615, 0x25828c6c, 0x2f91b866, 0xffe12f31, 0x57edda26, 0x60171cfa, 0xf350ed62, 0x967deadb,
+    0x46f37b90, 0x55c5a349, 0x6af61a6e, 0x10a28bd0, 0x6e48e21d, 0x98ac6d10, 0x8d335078, 0x5e4af403,
+    0x0af5467a, 0x2091e450, 0x73cbae43, 0x5f2a3e9c, 0x6d3fd53b, 0xfa2da2c4, 0xf56bbad8, 0x2991de43,
+    0xa075f4ff, 0xc667d1ea, 0x790b7a43, 0xd066f75b, 0x1290aee0, 0x5908ed54, 0x805d31c7, 0x05f94df1,
+    0x3f25b268, 0xe28eab33, 0x70e603b9, 0xb42b12da, 0x2f8bae0e, 0xb2cbf020, 0x16de6fba, 0x7863c098,
+    0x1899493c, 0x48fd427e, 0x06be08c3, 0xae9e7e3e, 0x5c4e26f6, 0x8902bbb8, 0x194eedf6, 0x7901a638,
+    0x954fd384, 0xf3d8a4ba, 0x6ff2e102, 0x4dcfc0db, 0xd130e890, 0xe96efc24, 0xc2b581e9, 0x04b552fd,
+    0x4923536e, 0xd2b142f9, 0xd57e32ea, 0x1a440a7b, 0xae1a6000, 0x87a6c558, 0xe82b681f, 0x0d6c52f4,
+    0xa0f8f06a, 0xa5022701, 0x5a31d682, 0x3c3640af, 0xcbb16b26, 0xb1c56784, 0x51fde43b, 0x88e548dd,
+    0x17a65b00, 0x514075a4, 0xf3dc47d6, 0x7a9acf03, 0x73c786c9, 0x59db9130, 0x6fa30e61, 0xea0b26f0,
+    0xe802c55e, 0x5ec4225a, 0x12953894, 0x00673789, 0x7c86a2e3, 0xa68867eb, 0x90388bc0, 0x5c8d7d64,
+    0xc30d3470, 0x234fdd7b, 0x7b1067a3, 0xd6c72c76, 0x6cee4e93, 0xf92fa11a, 0x3fe5b025, 0x2cac0261,
+    0x8dc01296, 0x13592215, 0x9dc69543, 0x20126379, 0x5e9fe163, 0x621b3c12, 0x0fc8a86d, 0x606f5297,
+    0xcea59f67, 0x0cd9d2a8, 0xa0e799fb, 0xc5b1a92b, 0xb6e48b9f, 0xf6d32a62, 0xe935415c, 0xed76030c,
+    0xeb4554b3, 0xb1868980, 0xa6be0866, 0xd320f601, 0xd7ecd9c9, 0x3ef37096, 0x8c6a9fd4, 0x53044402,
+    0x1096612c, 0x0311b816, 0x25e8242e, 0xce7f2854, 0xd69777c5, 0x24a7a384, 0x34183c5d, 0x78d6aae2,
+    0x4a0fb3d3, 0x00f1264f, 0xa80188b6, 0xc69d7261, 0xedfb2fdd, 0xc0d37a79, 0x751fa17c, 0x1856437d,
+    0x13207854, 0xedd62a1e, 0x08718651, 0xf9ccec89, 0x9eb0d977, 0x117fb366, 0xd2043a39, 0x96f4cb1f,
+    0x55741c4a, 0x54751086, 0x8968532b, 0xb0fd029f, 0xd3c3a002, 0xe781ea84, 0x773454dd, 0xbf1d8858,
+    0xcf1bdcfb, 0x2d09f4b7, 0xa4d6bac0, 0x2ac0d9af, 0x783c1f58, 0xdded3ddc, 0x8187bc82, 0x141dea3a,
+    0x95dc44d9, 0x610e19a1, 0x609b1dd7, 0x81467432, 0x4d58c3b7, 0xa950b6dc, 0x89b58cbe, 0xfebdff2e,
+    0x34030b72, 0x6813bd95, 0xcd0f7e1c, 0x705b1762, 0xa7eee8cd, 0xe6fb8b51, 0x04059c8a, 0xcb64621d,
+    0x884d6f9d, 0xb3643844, 0xe2f021de, 0x48b01e39, 0x11c7c95c, 0xcf0d1331, 0xa8d10a0c, 0xc0ffb9f6,
+    0x2f6711f9, 0x2ef173e8, 0x0e0ff438, 0x02909dec, 0xec38530f, 0x9728d041, 0x1ed97c6c, 0x1da44def,
+    0x8a454be1, 0x59cf71fd, 0x55c7359e, 0x1b069d67, 0x799f8eb8, 0xd3d10a53, 0x13a1c363, 0x3096f51f,
+    0x1e7152eb, 0x33daa848, 0xf74efe76, 0x4fc4cbdf, 0x55912c94, 0xbacf58fb, 0xec0029f3, 0xbe05065f,
+    0x82d94bdc, 0xf8dab76b, 0x7692544a, 0x10b1d472, 0x55eb3ea4, 0x8ce107e9, 0x0e065282, 0x45a13464,
+    0xc99794d5, 0x912b65bb, 0x92ce9643, 0x6d9ef462, 0xdfa820fa, 0x857ad898, 0xba4278c5, 0xa8f34995,
+    0x50c9fa1a, 0x468a7458, 0x24f0e52e, 0x8a09a80c, 0xf34e25d8, 0xfc890bf1, 0xc2d10ff2, 0x809f53c3,
+    0xe23f90ac, 0xf5875e57, 0x51746e5e, 0x7ea6be3d, 0x2f07c6af, 0x9cfc8de5, 0xaae156d6, 0x78b9f57f,
+    0x80d94242, 0xd2a7a1d3, 0x1d24f161, 0x54f5240f, 0xe1decaea, 0x76081bcf, 0xb08b4b6b, 0xa3ffb348,
+    0x40109865, 0xe20099a8, 0xfd17c679, 0x1a61b8db, 0xe004a442, 0x8cbf1db0, 0x713074e1, 0x4a96cf36,
+    0xf9ff7dbf, 0x81756f52, 0x3ffa588e, 0x33f431a8, 0x4beb3b55, 0xe005863d, 0xdef4441a, 0xfc34f95a,
+    0x07040f60, 0xe30af05c, 0x452effad, 0x25c6c9bd, 0xf631aeab, 0x623b628c, 0x5677b10d, 0xa7e19240,
+    0x831a7c48, 0x990e8316, 0x97f4efd4, 0x5edf4a84, 0xf4dbd904, 0x3a53bf79, 0x101b74c5, 0xc03ef6fc,
+    0x76d02d73, 0xe3e553ea, 0xf5a52192, 0x09b2345c, 0x966b7fbd, 0xd85a4924, 0x24fcb085, 0x5d4a2167,
+    0x73c11295, 0x4b0ae619, 0x74a8fb39, 0xc6e8ddcf, 0xb811f282, 0x0ee91838, 0x1edf1557, 0xba525294,
+    0xc54adff7, 0x427a8a23, 0x459b6f1c, 0xb2499087, 0x0a3fc0a9, 0xbf881914, 0xdd61c1d0, 0xd46f6101,
+    0x17ba359b, 0x51fe101c, 0x274e6a4e, 0x89fc7383, 0xac3b51d8, 0xc337e6bf, 0x6cd391a0, 0x17364175,
+    0xd0871584, 0xe6ffeb6b, 0xf5bb20b4, 0x9d603c62, 0x63cf1f28, 0x25624adf, 0x334aaaad, 0x291adf83,
+    0x77f6ca10, 0x05a05544, 0x5f126347, 0xea1909de, 0xc78e98c3, 0xfc8f3830, 0xd20aa764, 0x50876b8f,
+    0x239b557c, 0x1b50d0c7, 0xbfb9a7c6, 0x9e7769c6, 0xb9e19d16, 0x4b7e674e, 0x582c8dfb, 0xbfcc3565,
+    0xb0683717, 0x9a48a2cd, 0x0c52c271, 0x3f74f9e9, 0x7993d73d, 0xc72d1769, 0xe2176f67, 0xa0f13d5e,
+    0xc7292168, 0x17f9f9a0, 0xccaa740e, 0x2cc2fb3e, 0x80450742, 0x5ad58e22, 0xe704c779, 0xce19eea0,
+    0x05af0f75, 0x3ee6159f, 0x350a9458, 0x1ee26e3c, 0x933a1cee, 0x81eb7751, 0x0943d121, 0x1f68c918,
+    0xa368a9f8, 0xb3a8455d, 0x6dd70a7a, 0x20beb8b6, 0x2c6a36e9, 0x39507411, 0x18852822, 0x8a79040c,
+    0x3d569a18, 0x97ef2ebf, 0x6e849817, 0xd276f93d, 0x47653ba7, 0xe80b033d, 0xf4f0267b, 0x9deec78b,
+    0xc6883fbc, 0x3090da2e, 0x1fd1a105, 0x0dfcec76, 0x1578d1a5, 0x1d7dd8d6, 0x7680bcc1, 0xc6cb4a5d,
+    0x3befabd3, 0x286826df, 0x82d7059e, 0xfaea6060, 0x0e047c4f, 0x6e02ff37, 0xfb538ed6, 0x93862654,
+    0x00000000,
+    0x5269e12e, 0x00000003, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000004294967296 */
+  { 0x00000000,
+    0x8a70b789, 0x81ace6fc, 0x05079137, 0x72fd84fd, 0x111241eb, 0x1d8cc163, 0x5976c446, 0x611e91ff,
+    0xf5e3a71a, 0x357dad4f, 0xeb954020, 0x222af49d, 0x81936051, 0x680ed48f, 0xb031483f, 0x85cea443,
+    0xf6777ee0, 0x844b9032, 0xa98ed823, 0x9c81b9fc, 0xc5b0d164, 0x5c3256b1, 0x4451c46a, 0x4f787444,
+    0xc3ff900f, 0x54c954b8, 0x982c6340, 0x23819747, 0xd40cd46d, 0x70f16aca, 0x23732382, 0xc401c964,
+    0x51732c6a, 0x4e0599d1, 0x59c28642, 0xe2981181, 0x9e095b3c, 0x9bd1dad1, 0xc7596a0e, 0x7d810c52,
+    0x108ca528, 0xff8b0ffb, 0xed3b513e, 0xbd5f7708, 0xd62e34ed, 0xe4a57b5e, 0xf14b6a99, 0x454c693f,
+    0x161b62d3, 0x02596421, 0x926b42ff, 0xe65d2652, 0xaa74abaf, 0x8e18bd94, 0x86edd86a, 0x7bd1df0b,
+    0x79788166, 0x53d27345, 0x177430a8, 0x7a71dcf4, 0x88dd4a93, 0x6fb85b26, 0xb8efb58a, 0x795b6e65,
+    0xc0d56428, 0xbf81897b, 0x9f67e378, 0xdcfba9e9, 0xc1651cf3, 0x4f5869ba, 0x0d48cf06, 0x9676885f,
+    0xc1b8f86b, 0x07c5c606, 0x9c5a9e23, 0x3086cbda, 0xe30ab8a0, 0xc4cbf585, 0x7317431c, 0x2a9fa5f3,
+    0xcd1a3317, 0x472b9552, 0x9b965309, 0x6187473d, 0x33c37768, 0xb6360811, 0x91db8508, 0xe96cffce,
+    0xd46fdc78, 0x1db7bf95, 0x525bfde0, 0xdb4dc00e, 0xc10ba822, 0x345c9dfc, 0x40cdda34, 0xb0c75768,
+    0x06b3c1d7, 0xa98f4ac8, 0x554f9a02, 0xc17a2488, 0x6440c7ba, 0xb5ad7c6b, 0x3b1fb8a1, 0xcbb0455b,
+    0x61b4fe40, 0x91fdff7f, 0xb1f7fd48, 0xc808b797, 0xa132b310, 0x1acbcbf3, 0xa3b7d727, 0xd960e964,
+    0x8c93d918, 0x0c3b1dfb, 0xeade35ac, 0x71cb10bc, 0x11d3a1bf, 0x2df7dc1c, 0x853495cf, 0xe1214122,
+    0xd6fc754a, 0x0e269266, 0xf075964c, 0x265938dc, 0x04f8c0d6, 0x04afe830, 0xaffe1380, 0x08c5c36b,
+    0xe1a00f86, 0x8ac8b1cc, 0x1ba853bd, 0x5ec291c7, 0x6432df55, 0xfebeaf3c, 0x1b184310, 0x588bc21a,
+    0x4ca5868e, 0xbb57c3b6, 0xc8759278, 0x62ef8952, 0x1581bc27, 0x05bab101, 0xf42455d7, 0xac41ac35,
+    0xc55e8770, 0x437b4fe7, 0x60ccd4fd, 0x5e94d74f, 0x49d24ff4, 0x925cd086, 0xd7e7fc48, 0xcefd89e0,
+    0x0684efa8, 0x4bad5d54, 0xd2e10b7c, 0x31bda02f, 0xfab6f134, 0xcbb4124c, 0x5b15e82a, 0xdaa96019,
+    0x59097171, 0xd10baa55, 0x0cec4b72, 0x1b2ec5cc, 0x8ff2a1c8, 0x685dd6ee, 0xc13a8bbc, 0xc35c5824,
+    0xc854e50d, 0xe317d7d0, 0x69bcbdba, 0xcda491ae, 0x18eba42e, 0xf88cd25d, 0x4ea452d7, 0xc75b7df7,
+    0x7deaba34, 0x2216af49, 0x9747578f, 0x1bcb92b1, 0xab9130a5, 0x332b0856, 0xd8358860, 0x0058b96c,
+    0x08de6063, 0xb63aa238, 0x2e67c1f8, 0xae0b867d, 0xeed592f1, 0x7d0aa6f2, 0x14a85cc9, 0xf2e00f7d,
+    0x884afcd3, 0x7b946ce4, 0x3c658af8, 0x1f440cda, 0x2bb7d7b3, 0x996db47f, 0x9840722a, 0xaceda575,
+    0x60eb9342, 0xbaa966eb, 0x0e4fdd05, 0x5fd62e75, 0x70d68a7e, 0xf9772558, 0x0bcc090a, 0xfd0e3043,
+    0x3d9da126, 0xb204a8a0, 0x11de33d2, 0x186d6fae, 0x8d3beb86, 0xf368e8b1, 0x54736270, 0x8b7f27c5,
+    0xf9ad7a84, 0x566adf3e, 0xb5b29c41, 0xa520218a, 0xb5b4afb4, 0xada81cfb, 0x4b9ed0d1, 0x0a60adc5,
+    0x16287f8b, 0x3aaa4fca, 0x76a312e0, 0x495d39e5, 0x1947833d, 0xdc360a1c, 0xd39918af, 0xc14359d6,
+    0x6f087483, 0xdf24a0b9, 0x21893281, 0x50f2f838, 0x63027378, 0x767ad9a1, 0xd7c72891, 0xa24a534c,
+    0xacbd375f, 0x5eb72b11, 0xe2a68bca, 0xcc1f8e9d, 0x7f18b710, 0x1085848a, 0x3857d778, 0xdafa6579,
+    0xd663a45b, 0xa3ee995a, 0x6141a451, 0xf5fb85c2, 0x4de51420, 0xe5710ffb, 0x17ec3fa3, 0xae64bbd3,
+    0xcb2e6286, 0xb8959060, 0x685892f7, 0xf5cbc8b5, 0x102bd45c, 0x9e413a28, 0x9594d6d3, 0x8990b8a6,
+    0xd11dfda9, 0x041ed390, 0xbfdbcc3e, 0x95367b72, 0xe77d0d47, 0xdf36168e, 0x12cdb5e5, 0x47e3764a,
+    0xf0162dea, 0x848574e3, 0x7fdf3684, 0xf146e8df, 0x84ceec3a, 0x7cf52b9b, 0x1194df84, 0x885260c7,
+    0x324edea3, 0xaad1cbbd, 0x5496145e, 0x6453ad15, 0xfa62cd34, 0x9722f371, 0xc47e0d70, 0x9421834b,
+    0x665a628f, 0x97c5c28d, 0x1bbbee7e, 0x9ec46c09, 0x1bc51300, 0x9e8f93a9, 0x47fd9b23, 0x27a98248,
+    0x2df65b4b, 0x7673f4aa, 0x40191b21, 0xe0dfc8eb, 0x372bfc1e, 0xc9f8e87c, 0x86a34bf7, 0x753920a8,
+    0xe2d16a2b, 0x32cb1a16, 0x1caa285b, 0xc14a1a9c, 0xb3698744, 0xad707333, 0x9e4a415f, 0xb7f6631c,
+    0xff898de8, 0x8a7a5820, 0x1caa60c0, 0x7bc3ce2a, 0xc24b27e1, 0x35d55d81, 0x6e182792, 0x645bd76a,
+    0x7f9e8d46, 0x67625080, 0x983d6cf2, 0x786f5859, 0x7227dc83, 0x9f516461, 0xc33d352d, 0x47f0fbeb,
+    0x52dacd8a, 0x506c0c6a, 0x1d2c4b05, 0x4d625183, 0x72c697c7, 0x64fe010d, 0x6622ec3e, 0xe2718fb6,
+    0x6e8bd803, 0xec7b9b3c, 0x33fd6168, 0x731dea65, 0x2c5369d0, 0xad22ad5c, 0xd5deb99a, 0x8899e1a6,
+    0x715c5904, 0x9d4c93b4, 0xd60f671b, 0x5ff5557d, 0x0c31f2e6, 0xc6434c6d, 0x0ce7886f, 0xd5a91cda,
+    0xedd0e7a9, 0xc0675ca3, 0xc4d92c76, 0x659bfc63, 0x4c2d28b4, 0x9c008e94, 0x5057b760, 0x078cb0de,
+    0x5480158f, 0xbb46a2c6, 0x48ad7bc9, 0xae3899e8, 0x86d013ee, 0x5ed344c4, 0x6b82528f, 0x7ed9870a,
+    0x68fe8acb, 0x8d7dbdfc, 0x83db5f2c, 0x944cb40f, 0xa82c3b9f, 0x45bf5763, 0x4a8330c2, 0xa97dae0a,
+    0xcff21484, 0x2e3e4313, 0x620e1b18, 0x4f63e31c, 0xd7d1161f, 0xa5fa1baf, 0xae195107, 0xe012058e,
+    0xe73adbb9, 0xd8b9a494, 0xe0164f98, 0x33b52d0c, 0xc0510304, 0xb67590fe, 0xac30cdae, 0xe46faa89,
+    0x0ad48570, 0x80817e7f, 0xb83f651b, 0xc0a8a1e9, 0xc295dc33, 0xf255a226, 0xb2b961fe, 0x6a6e8c56,
+    0x958fc359, 0x1de259ad, 0x058fe508, 0x2569e498, 0x7121f08f, 0xe3ba2f52, 0xb939aee1, 0x294ff76f,
+    0x412481eb, 0xf3390184, 0x401e4ef8, 0x398675bb, 0xedca49f5, 0x9856a6c7, 0x731885fd, 0xd191904b,
+    0xf1d40b6b, 0x86f71c36, 0x2ed937fa, 0x70920e59, 0x60a2ee75, 0x04a0c31d, 0x91f1d193, 0x19a4c142,
+    0x4ffe2a78, 0xcf9b006d, 0xb627a1b4, 0xc84f99cf, 0x6bc49085, 0x70047345, 0x8bf7e996, 0x69c65829,
+    0x744264ab, 0x2ecd7298, 0x2da23bdb, 0xd021122d, 0x301dfe2c, 0x01238345, 0x296c4729, 0xb6307e1f,
+    0xb4dbd863, 0xfbf65bc9, 0x560296a5, 0x4c8dab54, 0xaaba91e5, 0xc23b5a6b, 0xa2712103, 0x58d09fe7,
+    0xfb6b01ea, 0x6934df38, 0x947d476d, 0x7f9e216c, 0x9c3f3d53, 0xd1850ee7, 0xd109d3c2, 0x89639ea0,
+    0xc935faea, 0x17ad88d0, 0xe64af5c8, 0xa1e3c319, 0x0c82a979, 0xd6ebcbab, 0xa1405e3e, 0xc5a88d1d,
+    0xd0347f6f, 0x8842bd22, 0x29759221, 0x920f86c5, 0x2209d408, 0x45a11f3c, 0xd968346c, 0x0381620a,
+    0xfc8c0e90, 0x04705e4d, 0xa3ffb6c1, 0x9ba50c66, 0x45aac773, 0x9853438d, 0x0afb8807, 0x2b0e223f,
+    0x9f8cbd66, 0x21f4f3a9, 0x2155870d, 0x67ba4986, 0x436bdaa4, 0x39613b6f, 0xf02c1b8f, 0xfc4ba4e1,
+    0xb6a312cc, 0xc0e7c654, 0xf36ba85d, 0x91965e36, 0xc68ecbab, 0x93247813, 0x765cf817, 0x87b28fde,
+    0x22f7bff7, 0xe1b3b987, 0x1e38d256, 0x5e135870, 0x219ac400, 0x13d6ebe4, 0xc27324f4, 0x3c1f3032,
+    0xeb874c86, 0x2fb8d701, 0x8a9db2fa, 0xced050c1, 0x271a3875, 0xe18b32c8, 0x274652e2, 0x32a73807,
+    0x9f7b2927, 0x1cfb2ff3, 0x2fe2d190, 0xce2cf13d, 0x219d3f6f, 0x6afe4c1c, 0x4bb3fca3, 0x74dc9295,
+    0x0e7b80f2, 0x594e8c4b, 0x77e5dce0, 0xdd948af1, 0x11371b8e, 0x12dd1c16, 0x4e701c58, 0xb0948f68,
+    0x7dce93e2, 0xf6f7312b, 0x91dbe644, 0x82d5b194, 0x987ccdec, 0x18b66fc7, 0x198504f6, 0x96d32862,
+    0xace7a09c, 0x8aa29fdc, 0xaf123844, 0xb63074cf, 0x8c544852, 0x360a314a, 0x637f3401, 0x9a390ce4,
+    0xc7f56bd2, 0x9360de18, 0x31513f72, 0x2b09781e, 0x502a30c0, 0xf22a1fb2, 0x429c1d7c, 0x90ca863d,
+    0x7af289a8, 0x208c5114, 0x01e7d928, 0xb27295e8, 0x422fd77b, 0xd3fc4cb4, 0xbe53aa72, 0x9e36307a,
+    0xf0e6f1d0, 0x550cddd3, 0x23ce9f70, 0x33ec82ea, 0x47733183, 0x869e99fa, 0x08e301f8, 0x060cb459,
+    0x925f3973, 0xef6a30d4, 0x997bfacf, 0x85e37928, 0x50e5032b, 0xb8aa71a8, 0x395dee8f, 0xf6544259,
+    0x8021734f, 0x71a96ea1, 0xe0761e35, 0x4d133060, 0x0d6ded99, 0xa99ac320, 0x59bae490, 0xa40b289e,
+    0x4b027679, 0xa94dabeb, 0x7110f131, 0x007e4f98, 0x15aacf3e, 0x3fbb2d21, 0x45e74d1e, 0xc5432d56,
+    0xda661102, 0xc5d46540, 0x6eda55b0, 0x78304b96, 0x160c5c80, 0xb42e479a, 0x3f410793, 0x540bff3c,
+    0x902a4c6f, 0xb09e61ed, 0x32bd611a, 0xbb036424, 0x8e9e1c36, 0x4f27a360, 0x3a864663, 0xc0c7799f,
+    0xd15f4480, 0xaa5654ac, 0x64f7eea7, 0x0731e842, 0xc48342b9, 0x7fd221d4, 0xb7b3439a, 0x80496007,
+    0x437e9f1d, 0xedcec306, 0x98c3c1b2, 0x9b7cce2b, 0xce78d738, 0xf3084659, 0xecb74214, 0xe29ef59b,
+    0xda0bdf80, 0x75e5395c, 0x7078327f, 0xd8146a69, 0xcfbdca3c, 0x496018d4, 0xfdedd442, 0xaed61276,
+    0x5d901a80, 0x96744479, 0xd63599f1, 0xd0f985c1, 0xcb22404d, 0xeedfae23, 0xa12c8a05, 0xedcdb02e,
+    0xaaf8ac80, 0x77421b0e, 0x72435109, 0x6dc8dc61, 0x234ef0ae, 0x005628a9, 0xce9aa4d9, 0x92eb0cc9,
+    0x2b9ceb9e, 0xef104843, 0x9b646e52, 0x74d39dd4, 0x2387130b, 0xbc3ab2f8, 0x2828c2fa, 0x9bb12bde,
+    0x55907de7, 0xd5183c3f, 0x704c14c5, 0x81ea540f, 0xaabc67a8, 0xb2b062aa, 0xe9a9b914, 0x0ae07a26,
+    0x295cb12e, 0x76a0387a, 0x74240f80, 0xd727d133, 0x121a8b69, 0x357c2ae6, 0xdec4e74a, 0xfc7ac2a0,
+    0xd14786c0, 0x70b30460, 0xb5393cb4, 0xab595bcc, 0xbc3e944e, 0xad7907c8, 0xa168582f, 0xf9fb3b1e,
+    0x8b9f2410, 0x41ab2251, 0x9cdee579, 0xdd83901f, 0x76860e72, 0x0bc21f45, 0x797aec24, 0xb77ff093,
+    0x0e6471b4, 0x2f83a5e5, 0x58a9b7f3, 0x46c1aa52, 0x701b2b85, 0xda2b68c5, 0xf952e120, 0x18ed4fa2,
+    0x2b2564f1, 0xded06128, 0x860f0294, 0x7becf4ef, 0xbef51a8c, 0x84dec03c, 0x79f83819, 0x7094909e,
+    0x9ac91690, 0xb8ec59ab, 0x2bbf6fb6, 0x3c33caa2, 0x58ae2500, 0x2fc1ff8e, 0xf4a5da4f, 0x300f53b7,
+    0x1d38b459, 0x820214b4, 0x879eeb79, 0xca79358b, 0xee1673a9, 0xee354ad3, 0xd28dc948, 0x86e5b0a5,
+    0x44efb5e2, 0xe08451ab, 0xce2c8736, 0x16be0755, 0xe3ca3a85, 0x593029fe, 0x0206bc4c, 0x3ab426ca,
+    0x0dc76fee, 0xa78a59e0, 0x4c7b4bf1, 0x4a42d6bd, 0x6506ad6e, 0xa673141b, 0x93c1a089, 0xaa2b4879,
+    0xea870def, 0x5a2a34cc, 0xbe9cc1f1, 0x86083f8b, 0xcc68d782, 0x07427c84, 0xd6e20634, 0xd272bd12,
+    0x6421556b, 0x73da7082, 0x78bb9dc5, 0x1ac19d5d, 0x54820fd4, 0xdb90da1a, 0x0d19921c, 0x880cdb1b,
+    0x3e4f35de, 0x8fbfcdf4, 0x99432c68, 0x41b9af28, 0x43e36100, 0xd598ddf2, 0xadbb37de, 0xa4cc9354,
+    0xd4c94af2, 0xec588862, 0xb39eefe8, 0xc2cb50db, 0x194678bf, 0xeedd3a07, 0x532bdb3f, 0x1dec1698,
+    0x35c00adb, 0x1164c2da, 0x560ad86c, 0x2a22f8d4, 0xd72235d7, 0x04df00e9, 0xf40e8b23, 0x67661427,
+    0xef6c42a4, 0x60264a6b, 0xf5ef03fc, 0x52e8e583, 0xc9ad0f3b, 0xe97df372, 0xa5337d45, 0x8f79a08c,
+    0x8f707725, 0x078a5320, 0x22805227, 0xc4c2f3bc, 0x060bcd06, 0xc9157376, 0x4432dbe4, 0xda4cf216,
+    0xcbc512a0, 0x6980a3e8, 0xe65271d0, 0xd7c040ec, 0x1f48b009, 0xe8bcec49, 0x68b6e90c, 0x7766f2b5,
+    0xe5de7c14, 0x2d151ebf, 0xac66ba66, 0x41ff1a76, 0xf0fc5dca, 0xfff2ff4a, 0x19e030e6, 0x114b4e4e,
+    0x93962d69, 0xd3c7e933, 0x68b5b535, 0xe9b02eb8, 0xa71dc570, 0x2ee4c701, 0xd84dbaf3, 0x9d76518d,
+    0x7d8af38e, 0x3eb5ad6c, 0x5f9a0857, 0x7f4ac92a, 0x5fb2361d, 0x610f8883, 0x44a8000b, 0xfb7baae1,
+    0xbf8df9c4, 0x7aee8a2a, 0x7580bf71, 0x8c0ce5b7, 0x9e75ae20, 0x660c44c2, 0x500c0c55, 0x6b9b9832,
+    0xd6dfdce1, 0x5f4b59b0, 0x28716053, 0xec9b3c14, 0x26cb26fd, 0xa9e4bab0, 0x694f7ed3, 0x3cfbc502,
+    0x8190f90c, 0x90703fca, 0x7d678371, 0x90c54a77, 0x0c27ad30, 0x6e6635c2, 0x43be65ca, 0xf14b05bf,
+    0x24527de7, 0x0474dfa1, 0x31c8d437, 0x9304c6ad, 0x7dedb268, 0xdef0db4b, 0x3b3df94f, 0xc142174c,
+    0x8834409d, 0x762bf9fd, 0x1591367c, 0xba7e1c80, 0xed56d1e6, 0x100d642a, 0x3595a8ac, 0xbe4a376a,
+    0x9c427a79, 0x4ef903a0, 0xa9a06229, 0x91215c97, 0x29b76c16, 0x5ec8866a, 0x49baebf2, 0x0b341a44,
+    0x900b64c8, 0x9ed28535, 0x877bc949, 0x2ba86949, 0xdb2b1527, 0xe06d2775, 0x859e2c86, 0xb4141a0c,
+    0x7e1e383d, 0x769d95c6, 0xb950e87e, 0x1d088ad3, 0xac349269, 0xe77e2fa1, 0xb6d2cf0b, 0x1200cb6f,
+    0x017b87c9, 0xd4c764b6, 0xb580205b, 0x25518033, 0xaf4f0dce, 0x8b399d1e, 0x12560f02, 0x64b024df,
+    0x7857bfbd, 0xe0dcd125, 0x9780a2cb, 0x570b14ea, 0xfc1a1b68, 0xa0ddbb39, 0x9b8b5122, 0x16a7c525,
+    0x6c6fbd1f, 0xf534ac51, 0xf1f9c73e, 0xdb4107ae, 0xf237c0b0, 0x2eff8616, 0x6b57a9f5, 0x43b2f6a8,
+    0x6f86e6f2, 0x868fb437, 0xd36de75a, 0xf1fd236f, 0xca754a09, 0xb004b7ef, 0x542a938e, 0x251d49d2,
+    0x01bb89f5, 0xd90f8b94, 0x434877d9, 0x8c29ddc4, 0x55b119b7, 0x9214a010, 0x4bd3b2bd, 0x52540400,
+    0x95f12d49, 0x52e708d0, 0xe7cc3b61, 0x474aca2a, 0x1476a14f, 0x3f10fdfc, 0x3103b9c8, 0xeb87bac1,
+    0x7697edd0, 0xec7de408, 0x79f5bf75, 0x0c3c1101, 0x7a9e2722, 0x6242a949, 0xb70be380, 0x0b9da5b7,
+    0xd3604ef9, 0x3fee78de, 0x82179793, 0x100853ba, 0xaef5f0c5, 0xbe3f1a82, 0xfca16c40, 0x6d155181,
+    0xbdb48d70, 0xf3badd2d, 0xa77689a7, 0x6b6077f3, 0xb5baf39e, 0xf673d056, 0xb52f5f78, 0x7a3ec8c6,
+    0xe9918cc4, 0x510cb1fd, 0xf7c948b2, 0xcc6886d3, 0xa670e0b6, 0x9f4fc6d7, 0x8babc807, 0x8c6ac85c,
+    0xc9d5de82, 0x7545e9bc, 0x9a1a28fd, 0xedd1a7f6, 0x72146c01, 0xe61e0c95, 0xa3f90aef, 0x5969c0ca,
+    0x810a8d60, 0x4daa24a0, 0x321993a8, 0xac5997dd, 0x0f5699f1, 0x007a378a, 0x9252ee81, 0x226ba0e0,
+    0x3d07324a, 0x28a148bb, 0x2a85ea1a, 0x33780c9a, 0x3b2acb1f, 0x842a29db, 0x10a75193, 0xfd1bd3cc,
+    0x8f25d0a7, 0xa9c1487d, 0xe3ebe9d3, 0x56e82c1f, 0xce2c1ca5, 0xd69a36e4, 0x21ac4773, 0x095c6a4f,
+    0x2db37f11, 0x123eede4, 0x0314c2f0, 0xb7963335, 0x3b6b13d5, 0x80d0b366, 0xc904b905, 0xc255cc41,
+    0x00000000,
+    0xa934f096, 0x00000001, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000002147483648 */
+  { 0x00000000,
+    0x9eb06f16, 0x8cedb7c1, 0x506d2d1c, 0xfa8a3493, 0x10358d86, 0x98e2f8a8, 0x144e4db3, 0x42ba3a44,
+    0x30b702b0, 0x58ef43b9, 0xcc74c71f, 0xef23e4fc, 0x69e455b5, 0xa764225d, 0xb75bbc66, 0x9ac3f272,
+    0x44dfcec4, 0x19a14867, 0x5fc7958c, 0xa518656e, 0x44691cde, 0x2f9cdaa2, 0x6b2f973a, 0xfa7f1e62,
+    0x62978558, 0x254bcc28, 0xbc4f01bb, 0xb2d61b71, 0xb5a0ab2d, 0xd9266527, 0xf8945df8, 0x13d3690f,
+    0x58534253, 0x2b27df48, 0xa1210324, 0xb8cdbdd8, 0xc038b0ba, 0x98e5f001, 0x97bd51a7, 0x2d729846,
+    0x0b13ac10, 0xd356250a, 0xb767e773, 0xf9ebcdb4, 0xcee80ab7, 0x5bf504d9, 0xf3f97c5f, 0x6112b252,
+    0x52a86335, 0xe3c160b7, 0xfdefb08c, 0x4dbf2797, 0x005a9976, 0x3d28256b, 0x7b70b61a, 0xe9e222d0,
+    0x8f6a21c6, 0x96a33270, 0xd4c60bbb, 0x5978c17d, 0xca87922d, 0xc1f8bf60, 0xa1af301a, 0x260ffc19,
+    0x8a114b6b, 0x21162315, 0x2e5e91fc, 0x519a96b3, 0x1a02aca4, 0xa4e2de8d, 0xc5070d3b, 0xabdbdeb9,
+    0x75b1faf8, 0x9243cbb2, 0x4a19e748, 0x03f8036f, 0xedfb45ae, 0xb4ec37e4, 0x267fa562, 0x62948c4e,
+    0x3b8a2090, 0x70da266d, 0x1ba94a89, 0xfcfd678c, 0x634b78fe, 0xf627b3ca, 0x72de3292, 0x2ab601bf,
+    0x5b6fcfa0, 0x93a8b028, 0xe0242f55, 0x6c2f4667, 0x4b73912b, 0xef411d97, 0x63d7b1fd, 0x2887ba1d,
+    0x406529d7, 0x2ab9042e, 0x64543a53, 0xf1304395, 0x9a51979e, 0xc632eef9, 0xf298dfcc, 0xd4f628d5,
+    0x7c3a2655, 0xebfe5dad, 0x55368fe6, 0x662814db, 0xb2df1770, 0xeadc723d, 0xa9190353, 0xa9e374cf,
+    0xb1360aa6, 0x0d98a5f2, 0x3a91ceec, 0xccf3b4f5, 0x4a40fd01, 0x23895b38, 0x88f2609f, 0x2e37b986,
+    0x42d7199c, 0x7bb911fa, 0x79f111b0, 0x314158bf, 0xbad8eadd, 0xd4c3e8a6, 0xb69be7bf, 0x5249e370,
+    0x42da5a12, 0xa784948e, 0x92979c5d, 0xe2a3ce85, 0xfc8e3304, 0xbe763fde, 0xb33b737d, 0x30d0bf19,
+    0xeb999ee7, 0x2ad65c59, 0x59a77c7c, 0x8fa27f33, 0x4aa36d49, 0x265cb594, 0xff18c2cc, 0x72c67eff,
+    0x32382f2c, 0x34f2f33f, 0xf28a0776, 0x6fb1cd0b, 0xa7aca673, 0x76c8beb1, 0x39394ea8, 0xdc9bb51b,
+    0xe1dcbfc4, 0x9587aecf, 0x0845d847, 0x0f835671, 0xcaa0dd7d, 0x4d1ad095, 0xbbb393c8, 0x115589ff,
+    0x4d76adef, 0x00efaf58, 0x4bef5b0b, 0x33d940de, 0x5eb3c341, 0xc961e78c, 0x3a784cac, 0x8e87959b,
+    0xb5c6362f, 0x42f52104, 0xfbcc7d08, 0xd89fa65a, 0xdc1531bd, 0x06abb7bb, 0xfb2544ad, 0x0ebc979c,
+    0xe78e6625, 0x0e26da34, 0xcfbde942, 0xc3f32aa1, 0xff808c5d, 0x95d58cb5, 0x6ee115ca, 0x73cbbebb,
+    0x0db35314, 0x6ea843b5, 0x7dcc71d9, 0x49d91113, 0xc25e963c, 0x1a3504e5, 0x540038f2, 0xd852a135,
+    0xc2c77eeb, 0x1da9046e, 0xd15dab5a, 0xc8dbefac, 0x54dfaea3, 0xc6956ee7, 0xb387de34, 0x6d30accc,
+    0xa6995756, 0x8ae517f0, 0xaef1ad8f, 0xc6a57291, 0xbcf9a223, 0x9eafd0a4, 0x2bb2f68a, 0xdc1a9b65,
+    0xebcd55f7, 0xa1643b2e, 0xd40bd653, 0xd4efe388, 0xfe77e583, 0xa26bdced, 0x2909fceb, 0x68bf67c5,
+    0xae804b6e, 0xff80ca0d, 0x9117383b, 0xb2a155df, 0xda73ddcc, 0x2d0d325f, 0x7b4ac57e, 0x7c90ceaa,
+    0x3d27e660, 0xf48c130f, 0x4afeb2c1, 0x7d3e8dc0, 0x43a337ea, 0xee3dc111, 0xf89204f1, 0xa13e76cf,
+    0x99446e65, 0xaea1fed5, 0x8fbadb50, 0xbcddde5a, 0xc16a0ffb, 0x52e413c1, 0xdbae2f71, 0x2720a093,
+    0xdbd99150, 0xa01be065, 0xf9d5b573, 0x9f4fd3bc, 0x5fc3a10d, 0x71da55e4, 0x28e96f66, 0x19bfd775,
+    0xfb5cde28, 0x29c7bbb0, 0xacfbc1cf, 0x074c7a9e, 0x9796bfa2, 0x84d8e1ef, 0xe4844a4f, 0xd5c9dbd2,
+    0x1aa0046c, 0x3f2007c6, 0x6323ff37, 0x9ddc6d75, 0xa6175318, 0xe9cf8ec6, 0xb096af76, 0xad9c39fe,
+    0x83bfbfd8, 0xd8ebc2c8, 0xcafdcf50, 0xd516802b, 0x1e00fe1f, 0x1aa7d7cc, 0xa820fd8d, 0x0d9b13dc,
+    0xe46cf3ac, 0xb91a81a4, 0x62f180ee, 0x5b8e92e2, 0xaeb0542c, 0x9be551fe, 0x0a47fb59, 0x4adf0502,
+    0x9955f7e4, 0x33d2a311, 0x5798fe2a, 0x8d857144, 0xede6f7dc, 0x36209647, 0xa2d88cef, 0x87e8d528,
+    0x82cd8a4d, 0x7b05bde7, 0x7e153e60, 0x9a0cfe96, 0x17e98945, 0x0c18488f, 0x62887d23, 0xeab77545,
+    0x2ef09ad1, 0x3ca613f4, 0xbf931f2c, 0x332ecac9, 0x5e4a97d3, 0x49aa3f3d, 0x1fa050f7, 0x56394978,
+    0xf94fc6ed, 0x7f2a7e70, 0x65f683c8, 0xc9d43925, 0xf32be245, 0x1ae82ceb, 0x28748fd4, 0x18a46527,
+    0x3ddfdf2a, 0x54e01545, 0x81b503be, 0xbd90be9a, 0x22ccb1d8, 0x0a988166, 0x587be3fc, 0xf4411cf5,
+    0x4c4b91ed, 0x2c969be5, 0xd520ff8d, 0x245352a8, 0x4af5ec54, 0x314e3186, 0x7328ac4d, 0x4e33908e,
+    0x1912fc8b, 0x79e9d1fa, 0x5346f57e, 0xd6baba59, 0x644d8c02, 0x72dac2fb, 0x6f7c8a36, 0x8f9b2653,
+    0x8651ebf8, 0x3e7cf3cd, 0xb156ee3c, 0xd3d710f3, 0xb404b38d, 0x67d89eac, 0x1281a894, 0xba5e7bb5,
+    0xb3d3134c, 0x78dbc065, 0x8de2efca, 0x1fd26d65, 0x5a29630d, 0x6d3eecc4, 0x16e63895, 0x507412b6,
+    0xe83e6d8d, 0x324db85d, 0xc3dba2e2, 0x9e3c66a0, 0x13af13b7, 0x94e89c7b, 0xa2cca03a, 0x6e88f1c2,
+    0xf68dba3d, 0xfc396cc2, 0x18aaeb63, 0xb977f04e, 0xbffef087, 0xe113362b, 0xa83338e5, 0x61cd0e07,
+    0x59e9831a, 0x8bf73c5d, 0x23a4c636, 0x78416623, 0xa5b8f8ff, 0x0144342c, 0x44433981, 0xe2ef9d8c,
+    0xee58844e, 0x8a833c69, 0xc2376c67, 0x5935cb1e, 0xea451a89, 0xb3c19c1c, 0x7396f60f, 0xb45fb449,
+    0xf62cf151, 0xf0d51571, 0x3ec16237, 0xeff19929, 0xac4100da, 0x911bbfdf, 0xfcff715f, 0x20776c5a,
+    0x2d94f3d0, 0x720582c5, 0xbd96c9e3, 0x733c872f, 0x25ca054d, 0x4cee16b6, 0x846c64c2, 0xc7e45149,
+    0x5bda6764, 0xf030c539, 0x015eda1e, 0x3856ad5a, 0x8526adb2, 0x8565f7ba, 0x3343e025, 0x83a0bbc8,
+    0x6ef8690d, 0xa5c36b2c, 0xf1177971, 0x8cb40a10, 0x09b5b5bf, 0x4065eb28, 0xa73ccca4, 0x7dab2d73,
+    0xa998106c, 0x98c3a76c, 0xdbacbe0b, 0x594cfb00, 0xae9e256f, 0x90065e48, 0x84db8649, 0x52264cc2,
+    0xf241363d, 0xa7cfe913, 0x6526ae82, 0xa237c0d5, 0x52f3b289, 0xa841688f, 0xd5d42331, 0x02301e95,
+    0x27bfab92, 0x16bc275d, 0x1dfc8dfb, 0x239b64bd, 0x5b61ce03, 0x68ac6507, 0x286cbd25, 0x990b0f2b,
+    0x0307487d, 0x37242530, 0x5ef902d7, 0x01a44108, 0x981e03f0, 0x5f9e8736, 0x4cf8fea7, 0xc91d7aa3,
+    0x983c2df1, 0xcc1806e7, 0x5ad34308, 0x6ce0165c, 0x5fb0c2d6, 0x239de9a8, 0xdf344b1b, 0x5d97c3f4,
+    0x229e1566, 0x4b2b40ea, 0x261740ba, 0x90751bfd, 0x27440571, 0xacec9a7f, 0x2d1eb603, 0x81820963,
+    0xafd2bd4a, 0x45f3b339, 0x2c33b668, 0x16547efc, 0x3c818fba, 0xdd27bc62, 0xac7fb20c, 0xed6518d5,
+    0x4bda3833, 0x8d52c085, 0xff888218, 0xc2f33867, 0x0be692e6, 0xab9ea0f5, 0x1beda7ce, 0x991d2ec6,
+    0x40de94e0, 0xb5300544, 0xe2b859d7, 0x0386955d, 0x220c758f, 0x2601feb9, 0xfbc0d4fb, 0x775a58a9,
+    0x2610b995, 0x5caad7fd, 0x7ae44d9a, 0x77cfe91b, 0x4353a3a3, 0x542a14f7, 0x9a846169, 0x63414c92,
+    0x6ba72fc4, 0x750aa982, 0x813f27de, 0x974ccd04, 0x03209a30, 0xf216f049, 0x3e230a52, 0xb203bd25,
+    0xb1806ec7, 0xd4fa53f9, 0x198e36a7, 0xafcfd6fd, 0x689aa547, 0x9109c12f, 0x94de52fc, 0x2faa525e,
+    0x108584eb, 0xd7a1070b, 0x6019ef71, 0x037e085a, 0x15e9acaf, 0xec9c5736, 0x24af452e, 0x96665f99,
+    0x1f9850f5, 0xa4ed3395, 0x78f818f6, 0x66be9706, 0x59b69fd1, 0x31f3259e, 0xc90636bf, 0xde7abb4a,
+    0x599b2296, 0x0782beba, 0x23a1b7c0, 0x59989d77, 0xdadc7226, 0xbf4b9c00, 0x511a767d, 0x07954115,
+    0x78b4a2ae, 0xa3f3cdff, 0xe35849ee, 0x5e3d8f61, 0x71cd990a, 0x970fd023, 0x8b9e492f, 0xeab6b3d1,
+    0x5e8221c4, 0xe0d49e02, 0xff679d3f, 0x4cd829df, 0xdd3892ac, 0x53993c88, 0xc66e0b03, 0x6262e6e7,
+    0x5455be1c, 0x422e2014, 0x564eb8f0, 0x047e2b99, 0x35c5a44e, 0xc30b223e, 0x2fa929d9, 0x4255391e,
+    0xb2dea1be, 0x8bdd789f, 0x96b76b75, 0x92e5319e, 0xfcb0b18f, 0xa57ce5a9, 0xb7547083, 0x3ec71226,
+    0xbaae9af6, 0x3816b308, 0xa23d65b1, 0x2b249e65, 0x8d8d70b0, 0xf286a7c7, 0x6ad56a9c, 0x65277cf9,
+    0xc0050d76, 0xb935e5d5, 0x341fc51d, 0xb38d8ae6, 0xcb6d5bac, 0x6794c037, 0xb9550156, 0xdd7b0a33,
+    0x56942344, 0x6fe30af0, 0x5a6cee98, 0x9bc64e72, 0xf0adeca0, 0x7bfc7ad3, 0xabbcb731, 0x515dd46f,
+    0xd8855139, 0x8425bbfa, 0x39384c75, 0xc90b211e, 0x2126a118, 0x850892f1, 0xf08603e8, 0x8c619ec0,
+    0x91d84600, 0x657bc718, 0x74fe29ce, 0x65c450b2, 0xabb6e29b, 0xef47204f, 0xc853945f, 0xefaa55be,
+    0xf6fb6711, 0xc46379d9, 0x6d575fed, 0x14a85e50, 0xc297b895, 0x7454b631, 0xf5c3fb84, 0x0947b241,
+    0xa89207d7, 0x9692c154, 0x158b9831, 0xaaff931b, 0x8045ae67, 0xb019904b, 0xca9418db, 0x431ec14e,
+    0x12769fa7, 0x816ae129, 0xba46bbb3, 0x28b7221d, 0x4468caf9, 0xc4d8f669, 0x0548e399, 0xddb316ba,
+    0xeb4cf0f8, 0xe2fbaf91, 0x462215b4, 0xf3f701db, 0xa9583485, 0x60437726, 0x615df701, 0xcf763b41,
+    0xf19fafe7, 0x622deb81, 0xfac6876e, 0x3b8efabe, 0x96cce7cb, 0xd2f3f19c, 0x59d08cf1, 0xed3e323f,
+    0xb562ccd0, 0xf8162d45, 0xf28177f7, 0x1f09a237, 0x78a5f3a8, 0x79838c4d, 0x66781ee1, 0x726faf7c,
+    0xebac4049, 0xb0b590b4, 0xb38230ed, 0x2fa7d90c, 0x6db89e2b, 0x56285bb8, 0xeba7803e, 0xc9219d1f,
+    0x24ecf990, 0x410688eb, 0x4642b320, 0xbf142ece, 0x0cce5c64, 0xf2909f67, 0xa0975794, 0xa41e0a7d,
+    0x594a4f01, 0x2ec39d67, 0x8a752b44, 0x8314be7e, 0x9c409b20, 0x1884ce62, 0x98c5c236, 0x9b1272cd,
+    0x0e533f35, 0x625b8ba1, 0x0e2e39d9, 0xf96ef790, 0xf057a456, 0x92a83777, 0xc8040f33, 0x53c9d864,
+    0x5b45dccf, 0xa8431f96, 0x3ca35443, 0x9eb3c1b8, 0xcee43596, 0xa9f5de7b, 0xff6d6355, 0x4038aab6,
+    0xfdffc6ee, 0xd68f0576, 0x0a129033, 0x7d1f616b, 0x93bfbd6a, 0xf1bb0ab7, 0x609bab63, 0x25f7357e,
+    0x5bcbfe67, 0x2a08d910, 0x5732083b, 0x8b36b2ab, 0xe4e5b06b, 0x9153ff41, 0x999e07f2, 0xa022bc2a,
+    0x2e461bbd, 0xdaac4643, 0xadc198d6, 0x7202645e, 0x871c2f43, 0x12bbbe15, 0xf0f29466, 0xbd859cfe,
+    0x8ebd17a8, 0x7497ee1b, 0xbd352ba1, 0x79732ef8, 0x781e15a6, 0x1d07a06a, 0x59ed5497, 0x07a16b64,
+    0x3cadf40a, 0x3af70b2c, 0x42c7e0b6, 0x77c40e51, 0xa2123f6c, 0xd1fe4f28, 0xf6cc78cd, 0x435438f5,
+    0xeacf9571, 0x7930a9ea, 0x10cab8c0, 0x024e76d4, 0x595d580f, 0xb4bf99c4, 0x0d21a71d, 0x2a51532c,
+    0xda947bbd, 0x2206d5ac, 0x67e0f2ab, 0x1315fb96, 0x00ceb7b7, 0x9062e121, 0x0f25048f, 0x45a40ce7,
+    0xf82eac0f, 0x961ef5c8, 0xe29589d9, 0x517432d8, 0x1875ca73, 0xdf8dade0, 0x411c8fbc, 0xd1eeab19,
+    0x75dc68ee, 0x226dde52, 0x2687dc26, 0x2498c899, 0x8df680e0, 0x07fd0dd3, 0x67f3b612, 0xd568276a,
+    0x2fc7314a, 0xe2bac002, 0x2f67b207, 0x37030f6a, 0x60b1a7e8, 0x73410842, 0xda18dfc6, 0xcf809548,
+    0x13b216f0, 0x8c8aa9d6, 0x70d29314, 0xe48253d2, 0x3d876274, 0x2ebfbd18, 0xb29615a5, 0x11e67cca,
+    0xe7b706c3, 0x7d3705e4, 0xe2cd35a3, 0x53f24452, 0x11e83a3c, 0x54ab748f, 0xd8c658e1, 0x635a3520,
+    0xf933af4b, 0x31df3a7c, 0xd1e21dc5, 0x20c107c6, 0x6a4e0837, 0x281bb7fd, 0x2111f5c0, 0x256d7704,
+    0xf5902e61, 0x1ac2afa2, 0xd4f12405, 0xed0c9e73, 0xe7257f6e, 0xfdb4888b, 0xd04e9aa5, 0x9e5254b0,
+    0xfa70db5d, 0xbe7bcddc, 0xd9f2a4fc, 0x7d872fdc, 0x9c4a21a0, 0x83e0d3ab, 0x42bd9b4c, 0xd2619425,
+    0x5e553b37, 0x91c9d386, 0x87ca356c, 0x2696ec82, 0xfccb51a7, 0x60ac5435, 0x0cf93ece, 0x2f25b375,
+    0x28def088, 0x6dd2e9b1, 0x69bc907f, 0x300a10f1, 0x6d598fce, 0x576b6b9e, 0xe08d2b4c, 0xbc8f2cb0,
+    0x1d65745a, 0x30f8b653, 0xce814e4a, 0x11e5efb5, 0x2fddf611, 0x6d96606f, 0x1b8e4ec6, 0xf428272a,
+    0x307fd0a1, 0xdebe7247, 0x7877ddbe, 0xe49eca81, 0xc945b228, 0x33be66de, 0xe91ab6e7, 0x95a34ead,
+    0x93e7cab0, 0xe716521e, 0x10daed0f, 0x6b7fffb5, 0xc479ade5, 0x032f25f4, 0xaef44104, 0x29573657,
+    0xf24564c4, 0xb2e3c480, 0x50105279, 0x9d4482f4, 0xf14fe4fb, 0xd3a59489, 0xeab7a995, 0x2faba0b8,
+    0x92cae31b, 0xc5cf5877, 0x1eff03e0, 0xc35da75c, 0x5b85096f, 0xe10050b5, 0x1464d431, 0xa9f3519e,
+    0xece83b1e, 0x7df69034, 0xea336b06, 0x9598576a, 0x2f55ee27, 0xde919420, 0x2553d624, 0xaf59e5b8,
+    0xd63257e4, 0x95c1c476, 0x0203304c, 0x0ad75495, 0xa8b6e9ad, 0x7fff9687, 0x7cd0b33e, 0x6f2df678,
+    0xb1ef5bb0, 0x6005b3ac, 0x2db52848, 0xbd1579ce, 0x0eee896d, 0xd0c5b99c, 0x21fbff86, 0xf8bcae4d,
+    0x2e59834a, 0x4220d635, 0x3d395183, 0x13f5b88b, 0xee91dbab, 0x7c41dfef, 0x6c92d9eb, 0xf5c848a8,
+    0x77219d3b, 0xa94f544c, 0x30616973, 0xc6df43c1, 0xbbcbdeb4, 0xa3818bc9, 0x488b93bc, 0xee27b392,
+    0x9cab1658, 0xc497873a, 0xa3d992ab, 0x68baa7ad, 0x41106d0b, 0xfcad12c0, 0x109c9fc2, 0x05778564,
+    0x4ab15daa, 0x28ba0d6e, 0x28301565, 0x6a323944, 0x9a50d492, 0x85b3b03c, 0x40289068, 0xa23f7aa8,
+    0xc42bc039, 0x3a4f552a, 0x6c0cd796, 0xd2ae29d6, 0x5fc11fdd, 0xfdc323d5, 0xa95c15ae, 0x17bfc354,
+    0x0bbdfae1, 0x8019c5fc, 0x69a2888c, 0x4febef61, 0x1df673b8, 0x13f32587, 0xa92e812b, 0x5f0485ed,
+    0x83ebb079, 0x99b62ccb, 0x73683656, 0x492495bf, 0x5734f290, 0x5197ba0d, 0x57afb6c5, 0xd9bf97b9,
+    0x6a9c6e30, 0x37dc7598, 0xa0e30fdd, 0x49f3d024, 0x4c9c568d, 0xd16536a7, 0x74f750c9, 0xb41aa7f1,
+    0xe863e7bb, 0x6a2c34c1, 0x1012c073, 0xcde07402, 0x625068ee, 0x7f29ea81, 0xa2639de3, 0x5dcd344c,
+    0x499d5958, 0x82f59db4, 0x5d0f027b, 0x8200f0e6, 0x6a98365e, 0xc5665c05, 0xe550e0ee, 0x35855f4c,
+    0x21ae01e5, 0x42d2ab11, 0xb1bd5698, 0xba9f3926, 0xdf87a9d8, 0x78e29fdb, 0x84a95ce9, 0x79caf516,
+    0x94954dbd, 0x3f631887, 0xbd3e6831, 0x1e5a9c5a, 0x4499af15, 0x2a027a8d, 0xdc57c310, 0x88ef1a23,
+    0x11bcdd16, 0x4e3ac7f9, 0x220c2dad, 0x2b928810, 0x66b87e49, 0x8f050dca, 0x42fcd1c1, 0xb11195d5,
+    0xb508146a, 0x3b036dc9, 0xbe17a887, 0xa4b3c640, 0xdf9e8a3c, 0xfaa023e0, 0x9c082bf0, 0xdf0befc1,
+    0x00000000,
+    0xd49a784a, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000001073741824 */
+  { 0x00000000,
+    0x98bc7095, 0x47a66ef6, 0x9da1dc33, 0x4aab8e08, 0xab55cfe9, 0x2937e9c6, 0x0342109f, 0x5ceb3ffb,
+    0xcfe20533, 0x48d87cad, 0x5b79d1db, 0xbc80ee09, 0x7b3db7e2, 0x5f6da16c, 0xe2df2927, 0x6b7c52e9,
+    0x347934e8, 0x4d01eae8, 0xa69b2d61, 0x2c2ee433, 0x1f3e3df3, 0x8e23050f, 0x10d35401, 0x8702435a,
+    0x02247af1, 0x5645133f, 0x8c495fd2, 0xc1600113, 0xfd48d81a, 0x96bfc8a2, 0x69420d51, 0x8fb9f8ef,
+    0x62687946, 0x73b60fb8, 0x8a26c663, 0xe85644dc, 0xa95c2ed5, 0x0b1fc445, 0x25c12a4f, 0xd0a9cb12,
+    0xd6cb3167, 0x581d27b3, 0xde2cd341, 0xbb880804, 0xa633a232, 0x84e58fd3, 0x2a53f86b, 0x4a97cf51,
+    0x8bc44c19, 0x1bc97650, 0x693957b7, 0x4d014492, 0xe0cc6121, 0xf3cd29ab, 0x4ae41109, 0x7d4ea8c4,
+    0xa7abea1b, 0xd05a1d7a, 0x12c8e8f7, 0x32d608ca, 0x155374c6, 0xdc4d616a, 0xeac4efaf, 0x97a74cd8,
+    0x9eee7f09, 0xf669bb59, 0x5e7fb7d7, 0xe6f8a0e1, 0x52b5e7cc, 0xe55f95f9, 0x3796460d, 0x032059db,
+    0x9a1d731b, 0xdd63aeaa, 0xcfeb8b29, 0xcc8b711c, 0x87baccc5, 0x93ff584d, 0x39caf87b, 0xcf4a7a00,
+    0xdc636752, 0xf152afcb, 0x4f7cfa51, 0x2d9c6546, 0x856ddeca, 0xda0aa8a0, 0x69d37043, 0xbece3a80,
+    0xb92f3f50, 0xdd30ae64, 0x454e5ba4, 0xc55a2968, 0x98647bfd, 0xedf9a032, 0x58875367, 0x4950381e,
+    0x422f0b5e, 0x013461a6, 0xb51d4c71, 0x2f21e778, 0x87ba4ffb, 0xd53de392, 0xb7ec47f5, 0x17190c48,
+    0xd641226a, 0xb6e71f9c, 0x4450346e, 0x523ed887, 0x0ac7646b, 0xe2092857, 0x9f91cdf8, 0xd5349166,
+    0xa6c070f1, 0xd362c3f6, 0xbc78e837, 0x51115f80, 0xe38888a3, 0x2be875ac, 0xbac44c0f, 0xabc8fad2,
+    0x1be9142f, 0xa5a40aac, 0xa5de2f70, 0xda3a57d9, 0x7310099e, 0x8827ae6c, 0xa40279e7, 0x333778f3,
+    0x4f095b68, 0xa59ed191, 0x2acd293e, 0x0a80aebf, 0x428ecec8, 0xfe88268c, 0x9a50e514, 0x786d8611,
+    0x6ab60d54, 0x2a58663d, 0x04e8cf47, 0xc4505685, 0xda942786, 0x4d8c37a8, 0xd242d7a9, 0x8bc53b39,
+    0x87b39ae4, 0xfedb71aa, 0x2ace4e84, 0x9a9aa7b7, 0xeb2a2b95, 0xdf612561, 0xc40ae42a, 0xd5e01278,
+    0x2388a9eb, 0xea646dcf, 0x71fa8f45, 0xb033c30b, 0xcb284a59, 0x0247e45f, 0x4bf09af9, 0x6ac997f6,
+    0xb9928c48, 0xcb4254b6, 0x90a5a48e, 0x83c793ac, 0x577f574d, 0x8ee980ea, 0xc0cb12c7, 0x199a2058,
+    0x07135699, 0xfdbc7c17, 0x64efdb4d, 0xd1aa9680, 0xf7897443, 0x47004166, 0xccc2d2cc, 0x60054bd7,
+    0xa981526e, 0xb245b4db, 0xf77de3cd, 0x7257a884, 0xabc31fa3, 0x82c20842, 0x4c4fcd57, 0xcc49681f,
+    0x895ec01a, 0xea0cc815, 0x79b842c1, 0x4af35313, 0x767f2cef, 0x80552c49, 0xb4b576e8, 0x14fa6bb5,
+    0x588ecd7f, 0xa6e376a4, 0xa10b6ddc, 0xb1ceba4a, 0xe29c65fd, 0xbcf9cd36, 0x388363ee, 0x22bb06e4,
+    0xa5faf739, 0x5c0853aa, 0xc1fb74ee, 0xe2d486e5, 0x2c38c725, 0xfd256a12, 0x6a75d7d7, 0x4150c5a0,
+    0x731c2d62, 0x3d5e8fbe, 0x7f367081, 0x9c53e7d7, 0xd21479c4, 0xe841c810, 0x84aed209, 0x2ec0aac8,
+    0x9ed59a2e, 0x540704b4, 0xb8580d0d, 0xafacb42a, 0xcfc682aa, 0xd94b5dbd, 0xa7f6a86c, 0x56dbbe06,
+    0xbcf91717, 0x503b34cf, 0x4c2bc45a, 0x3a960647, 0x098da0f4, 0x02e0aad0, 0xb603be59, 0x100cc089,
+    0xfe2bfbba, 0x52a55717, 0x1c7805b2, 0xa85f502e, 0xbf843c7c, 0xe3394a80, 0x28ae8a85, 0xb66085b9,
+    0x36846fe5, 0x9a18ba50, 0x89508652, 0x8cf7781e, 0x04c49af3, 0x2fb0d0d4, 0x15190fe4, 0x9d0aa52b,
+    0xdf981ab6, 0xab06189b, 0xfad9b785, 0xb6e6fb17, 0x45a2d22b, 0xe0835e42, 0xb6b04923, 0x80fa8258,
+    0x3f5cd645, 0x65a2ff2e, 0x9f07b21d, 0x397b3a13, 0xd4c0f435, 0xc85987dd, 0x6ef39e6e, 0x02e4cf5f,
+    0x18f3ac00, 0xfc9c70a2, 0xdd6ea9de, 0x6c347318, 0xa48be1cb, 0x309c971d, 0x3dd7aeef, 0x0333e0bb,
+    0x1dbb6a0f, 0x65e56573, 0x0958390d, 0x399401fd, 0x9952d56f, 0xaf7f180e, 0x733a4b77, 0x5a7e0ecc,
+    0x5a339357, 0xc218cb87, 0x966753a4, 0x4bdb4a10, 0x2df4bacb, 0xceb71b1c, 0xc4356320, 0x12b57004,
+    0x2c0277b9, 0x75d70c29, 0xf060792f, 0x5d1d803d, 0xe38cd8df, 0x3bfe8d46, 0xd0e1ec37, 0x10985746,
+    0x6b0ceeb5, 0x47ac1aa2, 0x78cb09f5, 0xf1e4bae5, 0xfc6ef906, 0xea2ca1d7, 0x1c5e0fc8, 0xe988d2c2,
+    0x0308258d, 0x08c4eb79, 0x4ad9ffcc, 0xe4ef25b5, 0x5e18e603, 0x72dc6ddb, 0x25975bd4, 0x340a7c85,
+    0xd29fdb9b, 0x317fb7ad, 0xa3737a49, 0x9b900e8a, 0xc690b463, 0x6de78bb2, 0xffeca80c, 0x7e6447c0,
+    0x03a988e4, 0x3c7f72fa, 0xacf1c2f3, 0x83031694, 0xb96326d9, 0xf88c1a91, 0xbbc4004a, 0x296f07d3,
+    0x811ade0c, 0x8987bcde, 0xe6682eb4, 0xfdf42fa8, 0x9d4ece80, 0x28edf340, 0x11a02460, 0x3b0562da,
+    0xb78c44af, 0xb72a0595, 0xcdbbf7fb, 0x78e5f5c2, 0x63de6962, 0x41e70f4b, 0xee9ce9c8, 0xd2d21b1c,
+    0x3aef8005, 0x9dc5f4bc, 0xc9cf1fe6, 0xcf041df1, 0x0247c49b, 0xdd9497c5, 0xacd61310, 0xd02275fc,
+    0xdd92389c, 0xe9e053ae, 0x7e90f5a8, 0xfe1c2209, 0xf8a7a14c, 0x96374f6f, 0xacb1119a, 0x613f6ed0,
+    0x4993581e, 0x465d7fff, 0xa350dc7a, 0x7cf2515f, 0x301f1c6c, 0x894bbebe, 0x2f2e59ea, 0x682e1cc8,
+    0x48bb277d, 0xdcffbdc2, 0x15095849, 0x3c58b899, 0xa270ec64, 0xd44842d4, 0xe90230e0, 0xc6362c7c,
+    0x5079b144, 0xd4e77af1, 0x570c566e, 0x519b8992, 0x78e39745, 0x830e5f5d, 0x57a022cb, 0x192dadd9,
+    0x2a4e884f, 0xf9b3bb45, 0x851a2065, 0x366124e8, 0x170db4bd, 0xe39a3801, 0xc4c1dcc0, 0x8561e6d5,
+    0xd3524fd1, 0x6ef199a4, 0xd88fc4ad, 0x6bd61413, 0xde27d509, 0xe1ee8e8b, 0xf7f065d4, 0x4d0bf218,
+    0xb82a954e, 0x0d3eb77a, 0x47675d99, 0x4925c9d3, 0x5de6f335, 0x894e8140, 0x38aa7770, 0x59c31fee,
+    0xd56a83a6, 0x06e11604, 0x35c899fb, 0x29bc6091, 0x8bb1744c, 0x83e38b4f, 0x3601e878, 0x6fa9d3de,
+    0x16007548, 0x7e5b5b5e, 0x31eb1b40, 0x61ea17ad, 0xdb510eec, 0x42b745b2, 0x219cbbab, 0x37618130,
+    0x6a327a2d, 0x52edb3d8, 0xed4ea98c, 0x7ebfa0cc, 0x3045a883, 0x4dab9cef, 0x1570508b, 0x6e8d6a6a,
+    0xc4fe45af, 0x6316b651, 0xef4cfef4, 0x7163556b, 0x7aa699f6, 0x21f0cc33, 0x7b5529cf, 0x682ca3ad,
+    0xa3f84f0f, 0x158e1666, 0xc0393437, 0xa29acae7, 0x0209ca22, 0xa2ac283a, 0x2a6922d1, 0xae44ec1c,
+    0x8c18cfdd, 0x51d377ae, 0xef0b5e53, 0xab2200a0, 0xea071815, 0x39df96c4, 0xeab5422e, 0xa64fe38e,
+    0x10217e2c, 0x12f87448, 0xf8d58d4e, 0xdf54b14e, 0x0d3e4253, 0x8929bcbe, 0xb805a4e4, 0xab0b1fee,
+    0xd03a0110, 0xb98561c2, 0x69561580, 0x6685e6a0, 0x118219b4, 0xef1542b3, 0x0817fe6e, 0xb3e9f444,
+    0x8d3be62a, 0xaa5ccb5b, 0xece3246c, 0x89689f08, 0x6344146a, 0xd1f9f2bb, 0xbb805eb3, 0x57f51503,
+    0x76f0416a, 0xa3cf1794, 0xcf3b9654, 0xdbfaf65c, 0xba60c739, 0x4aafe3e3, 0x10410737, 0xe7b083e5,
+    0x443867b7, 0x9d13a07d, 0x5b588016, 0x86a958aa, 0x46b930e6, 0xded5daeb, 0x6ebe9c8b, 0xe26accce,
+    0xbf78a3de, 0xb57f9616, 0xfb80ae19, 0x79950e00, 0xe2e043a0, 0x11446a0b, 0x3d8fd1ac, 0xcfcaeb96,
+    0xa83e2bbd, 0x520a3f04, 0x3427bd3d, 0x867dafd6, 0x4aae84ea, 0xfbe04e30, 0x8f9a62d1, 0xe4c32543,
+    0xb33f883f, 0xb143902b, 0x007cde0c, 0xc72a271d, 0x41fc6df2, 0x538957b0, 0x39db92fd, 0x9919dbf6,
+    0xb3643f91, 0x37e2722d, 0x9e564046, 0xfd40c015, 0x1e84d9d0, 0x478c3f9d, 0x097a31d5, 0xc33717ff,
+    0xc735edcc, 0x21213218, 0x6946da53, 0x0992b6ca, 0x0d20036e, 0x1dd00f14, 0x52bd4f89, 0x89d5a5a7,
+    0x95d6b34f, 0x9d410fc9, 0x51fdc7dd, 0x86f63b11, 0x56270d27, 0xea477b91, 0x9cb6cb2b, 0x2953eb09,
+    0x25eed4cf, 0x1cf0d7f9, 0xc26e1e60, 0x43a4b16f, 0x563bcc74, 0x4f49a438, 0xfb712352, 0xfb7eb339,
+    0xdc3a5409, 0xd900f73f, 0xc14e9af3, 0xc17ff555, 0xe1ba9efb, 0xecf60a89, 0xbade9c7b, 0x952a618f,
+    0x09440ecb, 0xc734abc0, 0x30793b1f, 0xc2fe8117, 0x3b00647c, 0x2cb5eefb, 0x165d99f4, 0xa4c862a8,
+    0xe155d2b6, 0x57d0c9d6, 0x9d8aef6e, 0xca0d0655, 0x18d0d36e, 0x059cfa04, 0x9d3c1acb, 0xfbca6104,
+    0x5c2bc44c, 0x8d4ece78, 0xb69f7178, 0xd3b56c3e, 0x20449204, 0x3023684d, 0x02a262d2, 0x16ebdc7b,
+    0xe2c30fb6, 0xcfcd0137, 0xbfe926d2, 0xddc0efc7, 0x463762a3, 0x9ebe63c2, 0x649f5398, 0x5967be6a,
+    0xa63afa5a, 0x6ba91a2d, 0x82b967d7, 0xf555c34b, 0xdda0e33f, 0x0a25d791, 0x3b8ea703, 0x7f9cfa28,
+    0xb4760b73, 0x43d71f99, 0x297668a3, 0x415feeb2, 0xf439a0f7, 0xbe1e27c0, 0x5bb1b9cb, 0x791aa393,
+    0x57ae7697, 0xee20ecd2, 0x3a2afbcd, 0xca6ccf99, 0xa2217850, 0xe0819ed9, 0x6d06883e, 0x17721c45,
+    0x4f7f0f35, 0x146eecfb, 0x8f0a391b, 0x255b8e53, 0x899661d2, 0xc92dae57, 0xb8df4cfe, 0x6e936d47,
+    0xa403aaa2, 0x00412e86, 0x49fc6e35, 0x28014410, 0x128c22b0, 0xd5c6d8f7, 0x0727adba, 0x7b317ad6,
+    0x2b90226c, 0xb1ad5443, 0x8ed175d7, 0x5750ab11, 0x731ab9c7, 0xce10b1c6, 0x8904fac4, 0x246f01c7,
+    0x943570e7, 0xc5425a9b, 0xf558a156, 0x7c4f7471, 0x84c0e210, 0x054db8a5, 0x8536b36f, 0xd7346c70,
+    0xd399f0cb, 0xf19b6377, 0xae515653, 0x4ede581f, 0xce0b6613, 0xcfcdff62, 0xc53b68ee, 0xd392df09,
+    0xe79d2e96, 0x76af8fbd, 0xac0b092c, 0x667b0a9d, 0x513c392c, 0x1e2c6d8c, 0xc8710dc4, 0xce94267f,
+    0x1134e874, 0xca2dcc6d, 0xd51ce850, 0xb117a26f, 0x1923712c, 0x9dc49410, 0xe958f79c, 0x3733aaae,
+    0x42648163, 0xb2b4b648, 0xcec8853e, 0x9ececbcb, 0x998411ff, 0xf20b96d7, 0xabdb2fc9, 0xc9b0af6d,
+    0x45de2f65, 0x5de07b15, 0xf94e91bb, 0xf120657a, 0x5ce2bc7a, 0x0898aa3c, 0x478250ce, 0x66385da3,
+    0x93da04b5, 0xf6303b22, 0x1f01ce35, 0xd1d3a021, 0x50e68480, 0xa84d585f, 0x466895fd, 0x6e2276cb,
+    0x7d0c215a, 0x6b42bcdf, 0x02288c0a, 0xd4965b68, 0x611905be, 0xe2f3c67a, 0xef36ead4, 0xf883e1b9,
+    0xc898b5f9, 0xacb88ded, 0xa5da18c9, 0x5c1d77c6, 0xe05a2969, 0x47634185, 0xfaebf427, 0x8eb59570,
+    0x9e3e1502, 0x3cea48ca, 0x065d748a, 0x7072484f, 0x7c1d11e0, 0xd502d355, 0x51a401ca, 0x46ad2e7e,
+    0xa5fab5fa, 0x97df5941, 0x0250ce5b, 0x11044d18, 0x43c32501, 0x920a8b83, 0x3d4e42f2, 0xa84b2e45,
+    0x572b3a3c, 0xc38a5e1d, 0x2a731d8f, 0x1e17b35c, 0x923ac1b3, 0x75c25f7f, 0xbf77ef00, 0x7ec2e404,
+    0x324c9243, 0xd135460d, 0x252c5de3, 0x4475f683, 0x9835da7f, 0x15b12e03, 0xaa62a4cd, 0xca156b94,
+    0x161705b9, 0xf798894e, 0x12316532, 0xf257ffca, 0xcec90859, 0x4a27e94c, 0xe76dd514, 0x08a48047,
+    0x916e8e1b, 0xcad7194c, 0x6c67f261, 0x475a3c82, 0x2d132c98, 0x432bc769, 0x73576c72, 0xe88d2e75,
+    0xad047403, 0x2d3a9769, 0xe38ece81, 0x4163d388, 0x300c522f, 0x0c46dc68, 0x1d4e30cb, 0x419863f4,
+    0xd158ad3b, 0x6895962a, 0xb3ff376f, 0xdcfb3069, 0x84b9640e, 0xf0f4830e, 0x3c38b0c0, 0x95ad83a6,
+    0xaf0e5b45, 0xb8bc3a1a, 0x172c9aff, 0x00123a41, 0x2c89002d, 0x4fdcdf59, 0x9a3cfe12, 0xa65acc9f,
+    0x20f47a3d, 0x5dd02e47, 0x147f129b, 0xc7196d5f, 0x4238b5b8, 0xc7032f4b, 0x4e4cbfe4, 0x6a5928a6,
+    0x51d5517d, 0xb82ddc27, 0x9dad5e10, 0x4ddbe02e, 0x801a62de, 0xc2dedd5b, 0x9de0d117, 0x62b8ff08,
+    0x47c1b089, 0xb4ba4438, 0x496ba7b1, 0xb9291f02, 0xbf3b0dc3, 0x3e52b1f0, 0xb9ddc57e, 0x84fe17c2,
+    0x92a098f1, 0x8f70c702, 0x3dcd9b45, 0x746546b7, 0x3af3b656, 0x6a90235f, 0x27e4b823, 0xee271bbc,
+    0x9a855044, 0xd1581dfe, 0x6830ee05, 0x668bbdef, 0xad60f022, 0xc5ace70f, 0x1391b356, 0x74620343,
+    0x5fe9ffbb, 0x2a545308, 0x94ee2e82, 0xf9676c36, 0x264db238, 0xe7788fda, 0x564b3da5, 0xf7efe34d,
+    0x8ba8e86f, 0x0b45e784, 0x2ae0211a, 0x3b29fa17, 0x0abcec42, 0x7ecc0d58, 0xa520291e, 0xee0308a4,
+    0x276fa120, 0x33f882a5, 0xdd43e31b, 0xf4100b08, 0x460b4b89, 0x6adbdf26, 0xd2c1c372, 0xb014f9b4,
+    0xd3ee62e3, 0x3659ac63, 0x7f3f29fd, 0x61f81bf5, 0xe7da026d, 0x88d23904, 0x928c13ab, 0x93871f0e,
+    0xd575f94f, 0xcffdbad8, 0xc2750c77, 0xe9b083c3, 0x4a159c74, 0x7592fe4d, 0x546e3960, 0x3b2ee333,
+    0x8983817d, 0x996d5b45, 0x9add9462, 0xed15912c, 0xde46fa14, 0xd31ce66c, 0xef0071bc, 0xfdc28136,
+    0xafb90270, 0x1290a8f7, 0xd981a4b9, 0x79ccabc4, 0xb019569d, 0x1ddebdc4, 0xfa1b733e, 0xad9ab982,
+    0x057b325d, 0xdd2f2c6f, 0x11289be2, 0xdf04b89c, 0x354e633c, 0xbda8951e, 0x67ae73f4, 0xe7897d97,
+    0x85e023e4, 0xf89721da, 0x38b5f202, 0x3532e7b4, 0xe2408cc5, 0x5b45717b, 0xf7cb3ff8, 0x7d5713d9,
+    0x9f414334, 0x006ddd2e, 0xd9b650c2, 0x80fe4455, 0x69c5ca4e, 0x8662df94, 0xce2da134, 0x1c7635e2,
+    0x2c0468a9, 0x4b2f064a, 0x6bd7782f, 0x5ec53170, 0x3697df1e, 0xf45c93d9, 0x0fe9f106, 0x39e57952,
+    0x26dce050, 0x4095ad81, 0x80bc311c, 0x156d1f2f, 0x8c1d96bc, 0x63343aa8, 0xe7f0fb60, 0xdae6060b,
+    0x955210d5, 0xa8695f8e, 0xd571f66c, 0x45d803ad, 0xadf05515, 0xfd02abab, 0xd881bfbc, 0xac193b9a,
+    0x83503aad, 0xb96bd8e2, 0x2bf87dc1, 0x5f16f480, 0x61ea6517, 0x46e1f1df, 0x47b262c1, 0x1a5316f1,
+    0xeb16f867, 0xf444dfbb, 0xcdec4388, 0x87450085, 0xc13c59d6, 0x3a9f5647, 0xb93611dd, 0x5ed4ac26,
+    0x74f7b173, 0x142b5f96, 0x7fa8fdc7, 0x0f699513, 0x45a170c7, 0x5536b5d7, 0xf7543c0a, 0xf27e6f08,
+    0x9083a5c9, 0x0158f620, 0x2f326f20, 0x97160f78, 0x6cb18209, 0x934fa9d1, 0xde3d103d, 0x293b34eb,
+    0x3ea8925f, 0xb5e38918, 0x70424f09, 0x2cfa809c, 0xe627459d, 0x5af731bf, 0x9b8a0b2b, 0x6cb0af1e,
+    0x0ef034ef, 0x7e2840e7, 0x791f7047, 0x7bd97be7, 0xb65ca733, 0x2112f42a, 0xd3a29fde, 0xa982fd94,
+    0x26ebcaca, 0x7bfd2f00, 0xe7f4592d, 0x6963c495, 0x40710bcd, 0x3fe0c283, 0x15afe138, 0x61df523c,
+    0x73927e2a, 0xf1a3cd2c, 0x4ce523aa, 0x88d6aa4e, 0x7ec76939, 0x7f3cdc0a, 0xebde2e42, 0x307cb60d,
+    0x6f1df364, 0x10e7b8ae, 0xb35e7454, 0x75ac979f, 0x8e275e77, 0x7e0f0937, 0x599eccaa, 0xa909d876,
+    0xe9083227, 0xee5e8ee9, 0x01133b5d, 0xf745eb5a, 0xaabb8161, 0xf29eb8a3, 0x66e3ee22, 0xeef4b7d6,
+    0x00000000,
+    0x6a4d3c24, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000536870912 */
+  { 0x00000000,
+    0x0cccaf6b, 0xe29aded1, 0xcb60c7c2, 0x494372ea, 0xeea0927b, 0x94cd78bb, 0x2aed7606, 0xc90f76c9,
+    0xe4ac37f9, 0x54e22548, 0x6e71775d, 0x34541171, 0x6f9dcf9f, 0x165d2f29, 0x35d7e13f, 0x543e2812,
+    0xedeeea42, 0x8b2d4cc0, 0x50fa80b7, 0x4ac85369, 0x10606ab2, 0xb3cd4f8e, 0x9f6243e1, 0x3b6c32a4,
+    0xf57be885, 0xb0f76ed6, 0x4321ced4, 0x6d7bf20f, 0x978f2a1f, 0xbbf6b8f1, 0x7c75a8d7, 0x807c5c8d,
+    0x9ad46aee, 0x33b4edff, 0x3d352e12, 0x45a8ae89, 0xd634f71a, 0xf4477115, 0xca0e1679, 0x121e4676,
+    0xa0d88f2e, 0xbc9ad26f, 0x29aa9db2, 0x2df0a38d, 0x2f7f1c28, 0x7fe35bca, 0xd400613d, 0x05f48063,
+    0xc4b0bd45, 0x8f1cc41b, 0xaeae342a, 0x6e73da25, 0x8dafabd5, 0x43f201a4, 0xb03b680d, 0x4fc827df,
+    0xae92c874, 0x056bf221, 0xed4a20b1, 0xed9df232, 0xffae4276, 0x909d9cb3, 0xe85cc917, 0x17b1a93d,
+    0x93f67e44, 0xb90f6b9a, 0xe6a1f4a3, 0xce78c346, 0xca800ce5, 0x0aa1fdbe, 0xe5aaa7bb, 0x51fb17bd,
+    0xd39546d7, 0x9fe3bd8b, 0x9e555baa, 0x9a1fc844, 0x5fa7a6b9, 0x8bba27d3, 0x09291357, 0xc0acaca0,
+    0xe8c6784a, 0xbde3eb1b, 0x3fa859b7, 0x64c91f8f, 0x9ff3d335, 0x79830a72, 0x01f0b028, 0x0e5c3032,
+    0xfae1705c, 0x88df76e4, 0xe022bd70, 0x7eb4cf01, 0x9660695e, 0xb71895eb, 0x03fd7124, 0x820edfd1,
+    0x6520d4c4, 0x00e5c197, 0x39ce1583, 0x2ba6e90b, 0x7e4997d7, 0x40a97384, 0x4559b031, 0x96852975,
+    0xc2ba7681, 0x167b1032, 0x75b583fa, 0x72090293, 0xb4bd0366, 0xe01db1d3, 0xe8cedd28, 0xcc674ffb,
+    0xf69143a5, 0x9b06ca3b, 0xe3e5a02c, 0xe6d3cf60, 0xc20954bd, 0x21dabeba, 0xb8ac788d, 0xe9e907e8,
+    0xbbc3c83c, 0x4bce8cd6, 0x9cb2e0f2, 0xab0f1035, 0xdeacdb00, 0xdaae09cf, 0x7222c5ed, 0xa65a588c,
+    0x7a8e2e29, 0xd6dc38b9, 0x2d72700f, 0x0ec55731, 0xaf5790ac, 0xf9d8010c, 0xc00826dd, 0xa8cbcfb1,
+    0x8ba10b10, 0xbc1422ef, 0xf92bd08f, 0xf5fdfa9d, 0x93ac6c56, 0x3d211d4a, 0x0acbb2da, 0xef8a1da8,
+    0xf481cc4f, 0xed5abb75, 0x93bbdf19, 0x1acbceb8, 0x7072b826, 0xe9117d2d, 0x0596a34e, 0x8668b9de,
+    0x3898cf94, 0x7aad7214, 0xce135aec, 0xb33445f5, 0x6f566476, 0xf08f7cdf, 0x62935916, 0xdc19ef48,
+    0x5f2014c2, 0xb3d7d289, 0xd6d2959c, 0x291e789d, 0x3d9b3dcf, 0x080fc08d, 0xe74d8cd0, 0x51e47783,
+    0x2b050d4f, 0xb711135c, 0x1a8f8cbf, 0xd455f005, 0x8f7c32ac, 0xde127d0f, 0xe3e66ca0, 0x80218b64,
+    0x5ff62d52, 0x29d106bf, 0x0aa83442, 0xeabba296, 0x03b78bc7, 0xfc2d0ca9, 0xb430b02f, 0x885a5411,
+    0xd42fe9db, 0x916d67f9, 0xb7ea4239, 0x967b1bbe, 0xf45671af, 0x4d026b48, 0x7e8fabe7, 0x9e654e88,
+    0xc573dfac, 0x7bbf0aeb, 0x33195b82, 0xfff1aeb6, 0x800ea9e5, 0x0819ac91, 0xbef62df3, 0x9de384ae,
+    0x4d86afbf, 0xbc5ac9ef, 0xe7093da9, 0xb53351b6, 0x7837231f, 0xd9453aab, 0xac216fb2, 0xb2f67ce6,
+    0x1ce7f357, 0xa84d3a08, 0xf3785649, 0x8b3e65b9, 0x19390cd3, 0x342dc074, 0xf488a3f4, 0x938d51b8,
+    0x54540e75, 0xe3307fb5, 0xe07847e8, 0x45d9e775, 0xa6e06520, 0x05b9af89, 0x79998bcc, 0x7d1893fa,
+    0x09d5cf01, 0x17125d07, 0xfd8696c0, 0x6a1656a5, 0x220e762f, 0x26823cbc, 0xa9e1469a, 0x6ffa809b,
+    0xcf7d6c09, 0x6205e867, 0xacb94086, 0x607dc7a4, 0x82a7011d, 0xda73db19, 0x01cdc5ca, 0x6ca5ad6b,
+    0xec97c106, 0xd96227c0, 0x10ab6ee9, 0xe26703a6, 0x05ec2daa, 0xd3a6ab29, 0x04a0d36e, 0xc20fcd4e,
+    0xb828963e, 0x17b43088, 0x79ccaf63, 0x5a1b4380, 0xb4775b32, 0xb14ebc0c, 0x28762080, 0x1b90edd9,
+    0xce689d49, 0xbb4fda4d, 0x92ac0b47, 0x1ab030ef, 0x4e5dc8c2, 0xd124edba, 0x8a49f068, 0x6367af25,
+    0x231817c0, 0x5f5fb1bc, 0xf6605f50, 0x18d4e9e1, 0xa634e862, 0xba109ef3, 0x64828ead, 0x2fcfdf1c,
+    0xe08c31d8, 0x1797dcd6, 0x99bd60fc, 0x60b006c9, 0x2fce4c58, 0x635f44b0, 0xee81c2cb, 0xa4a6fad4,
+    0x8ef2dd55, 0xe9b75713, 0xc8e2544d, 0x4efe01b3, 0xb048c210, 0x605c9053, 0xcb81aec3, 0x3ab63b1b,
+    0x3fff7ceb, 0xe7ca738a, 0xa7d99530, 0x9a6c138d, 0xbfcce899, 0x05db1642, 0x4e5ea981, 0x3a645929,
+    0xadb6cff8, 0x72a7806c, 0x8c36deaa, 0x8f805047, 0xb8923264, 0xfaac4650, 0x86504c10, 0xc42642ba,
+    0xc008aced, 0x23b71797, 0x0fd02eaf, 0x7e8436c9, 0xe7d00bd7, 0xe4d75787, 0xa87dc566, 0x7be19f42,
+    0x78fe5267, 0xaff3ce36, 0x3faea3ed, 0x875be9a2, 0x7e5b3f98, 0x7bf7f6e0, 0x6292a5ee, 0xd0b6a5dd,
+    0x600e2bff, 0x8f31bb85, 0x5deeb8a4, 0xca4094aa, 0x5b515643, 0xeea6243e, 0xe051e506, 0xf7264e01,
+    0xb0d2066c, 0xf540fd4a, 0x00b2c864, 0x3353f8b0, 0x39a53fe8, 0xaa3017bb, 0xf977be00, 0xbba23e04,
+    0xb31a360b, 0x54792948, 0xf3cce84b, 0x4a0a8431, 0x0eacc709, 0x64c6b710, 0xb8edb05d, 0xb6afa2d2,
+    0x5e4fc5d8, 0xbdd21a91, 0x9d5667b4, 0x690fb1bb, 0x3265aac9, 0x0871d706, 0x0b66e866, 0x1cb90ffb,
+    0x90209bf3, 0xc4f7dc13, 0xc04d002a, 0x0db289ca, 0x8763a8e2, 0x5593ae80, 0xa5a4bb53, 0x78e0b5c4,
+    0x7b8ddc2f, 0x96061e95, 0xcbeb64b3, 0x44479310, 0x08dccce1, 0xc4ae644e, 0x44e6e35c, 0xe2cdf07c,
+    0x665cbacb, 0x40e55cdf, 0x006047be, 0xf866e93e, 0xf9916550, 0x683bc48a, 0xafc86d61, 0xa2fbdb15,
+    0xc873aad3, 0xc18d5de1, 0xbd28c39a, 0x79780b68, 0x94d293ae, 0x04715e28, 0x76160fa6, 0xb40ffab9,
+    0x8adf7df1, 0xf6586f25, 0x6444ada2, 0x4f5cde18, 0x58af2dcb, 0x2a02fede, 0x72d8360a, 0x4560f749,
+    0x3196921a, 0x9a8fa9e9, 0x08b46d74, 0xb9f72f3e, 0x4ff3c272, 0x6f66a204, 0xef23397b, 0x70a6f245,
+    0x14e89dcd, 0x3ac1f7e1, 0x3ef7747c, 0x60474e48, 0xecd920b0, 0x61b82d03, 0x9b7191d5, 0xc738a83c,
+    0x3bb2df9a, 0x77e7239d, 0x6848f7b8, 0x4e836e22, 0x99728169, 0xe147c112, 0x7d999b35, 0xd69d39ef,
+    0xb7a9789f, 0x5d3ade27, 0x2fa83d77, 0xa1ef904d, 0x75e1107e, 0x51231ebf, 0x8c80baf6, 0x54a078d0,
+    0xc90445ba, 0x3de575dd, 0x4687623c, 0x56835851, 0xc1e1bb89, 0x7a39e212, 0x296f648a, 0x8f6fc377,
+    0xb8a894c8, 0x910982fa, 0x198ffd70, 0x982f7a3a, 0xa16ec304, 0x530ca44e, 0x5747f61c, 0xff7641e0,
+    0x283586ba, 0xb73bd58f, 0x29dd23c1, 0x660d3fbb, 0xe446b5c2, 0xbae0e296, 0x2ec3fad6, 0xc735edc3,
+    0xe14a2870, 0xd93a68b4, 0x79086436, 0x96199c60, 0x486fb7c4, 0xcf773be1, 0xff6492e3, 0x7089dcb0,
+    0x6cbe161d, 0xe3cbdeb4, 0xe015b3a7, 0x1f25365a, 0xd5782c49, 0xf8078fec, 0x3bb4f121, 0x1db4906b,
+    0x5d9c25b4, 0xf8cf5ad0, 0x0e37c25d, 0xb3af04af, 0xb2082977, 0x2dabd44c, 0x223f7898, 0x8d0c5a2e,
+    0x1952e1fb, 0x83255610, 0x401f2322, 0xbfa56914, 0xa3e56a1b, 0x5361367d, 0xd3d6aed8, 0xb7941eed,
+    0xe609b107, 0x3d886e52, 0xb37d0970, 0x3e60c09d, 0x849396a5, 0xc1f7984f, 0x26a9854a, 0x85d52f7d,
+    0x9ab3d728, 0x85c37ade, 0x8a5b0576, 0x7d6a3ca1, 0xb207fb6f, 0x21a69fcd, 0x56ddd02f, 0xd75d7a6d,
+    0x56a29e93, 0xbe11b6b2, 0x48bad42e, 0xbd1f2d06, 0x939f5610, 0x7e83e4a7, 0xd84a7780, 0x3281ac54,
+    0x24ec8fb7, 0xae765f8e, 0xd21f8def, 0xcb2339ad, 0x7ec7ac68, 0x29df0226, 0x5e7e1767, 0xa6df8592,
+    0xeaaca8ae, 0x99c8bb61, 0x6de3ce44, 0x13e073da, 0x2542f2d8, 0xba7bbac2, 0x9e552726, 0x7359addf,
+    0x48099b67, 0xcc775198, 0x388a07e8, 0x3b3223c0, 0x97a1ee4e, 0x27c95eb3, 0x4222cbc8, 0x88c64aa3,
+    0x5fb8aee7, 0x7bdeaf90, 0x88bb9ae2, 0xa3316f08, 0x635816ba, 0x38b91dac, 0x721f1752, 0xf46b9fb4,
+    0x3b6e9588, 0xc0654ab9, 0xb1d955dd, 0x509ede5a, 0x0950bad1, 0x599014e0, 0xa020e8d3, 0xc51d195f,
+    0x2b7023a4, 0x9a6179a0, 0x6bc1936e, 0x8e8001ab, 0xd5b0a688, 0xf7c5bdf0, 0xec68865b, 0x3c1d71c3,
+    0x725ddb78, 0x774f1fab, 0xe0d0c565, 0x9aaf19ce, 0xa5e55486, 0x58c4dd75, 0xe257594d, 0xd16004f0,
+    0xa31698b9, 0x110fc983, 0xc7131707, 0xeaa7c286, 0xe590b926, 0x4486fbbc, 0x8424268a, 0x979386fc,
+    0xe466888b, 0x9995a6ee, 0x67c6915a, 0x08316fbc, 0x33f22d2b, 0xa4676a81, 0xb411064d, 0x5a622c1e,
+    0x0996abb4, 0xb29bed53, 0xf5e05042, 0x605817e0, 0x0b45a31a, 0xf4b48cf1, 0xd2baca61, 0x8a6ac07f,
+    0x24ed068f, 0xa782c11f, 0x68ba9dad, 0x1d7cacd5, 0x0a17012d, 0x34eeffdc, 0x4aadcf86, 0x203de39f,
+    0x6c242528, 0x54d71260, 0x9d2c37ab, 0x1ec4640d, 0x6e6f37b3, 0x174d02bd, 0x98c8b63a, 0xd1882066,
+    0xd8be3e7d, 0xca47408f, 0xae1790aa, 0x7588dc22, 0x073c0ee4, 0xbf61c9ad, 0x02489817, 0xe000d1c7,
+    0xf40dec9b, 0xf7fe47c5, 0xc057f4c6, 0x63ed2e74, 0x22f6bcd5, 0x9a73246a, 0x95467a27, 0xa47f1c0e,
+    0xe6f19f9b, 0xd5046244, 0x8d547d15, 0xb0f059d9, 0xc5016f73, 0xee2f3546, 0x4609538d, 0x91588c4e,
+    0x38cee226, 0xf2d47f5a, 0x9b07c63f, 0x548a987f, 0xfd0ba624, 0x6b4d2fa9, 0x68848abd, 0xce4bad32,
+    0x958f4fa1, 0x106f8857, 0xb8467a85, 0x458baee2, 0x20137c67, 0x65acdd49, 0x74ffb8f7, 0x2bca8c7c,
+    0xa8fbe397, 0x4c383d08, 0x29dbba8d, 0xeaeed698, 0x3de1a95e, 0x1ff1e9b2, 0x3d320c6b, 0x4af17e6e,
+    0x3bb54471, 0xd732c48d, 0x66c34981, 0x15e1b13b, 0xea7e248a, 0x7772a3ec, 0x94b9a486, 0x4488240d,
+    0x4abb8fa7, 0xeea8dd8c, 0x394e11e1, 0xa1fc7941, 0x4f67986b, 0x0d15299c, 0xe521605c, 0x3feafb21,
+    0x89363e73, 0x3f4b9139, 0x1eb216df, 0x544054d7, 0x7423bb8d, 0xd6810b59, 0xa687c3a5, 0x41438219,
+    0xa91a7654, 0x72fb6681, 0xc05294cd, 0x910b76de, 0xa21e46ee, 0x7c4c974d, 0x6d4d9e62, 0x50aa872e,
+    0xf93b9336, 0x89481b76, 0xa1c5d7b6, 0xc9961059, 0xfa57fa66, 0x86e0d6f2, 0xdc836ea5, 0x7fa7760d,
+    0x85a42dc2, 0x8ee2ca95, 0xcc2b2332, 0xc69bf7f7, 0x5bed5da9, 0xcff4bca8, 0x099a3674, 0xd59f6c82,
+    0xef76cac7, 0x6a9b5b62, 0xc950b050, 0x630408a8, 0x82f53ba6, 0xa3da5b61, 0x8eba5512, 0x3ef7e21a,
+    0xa273945d, 0x508dcb06, 0xfc05b1b4, 0xeffd5fe7, 0x947583b2, 0x60a958cf, 0x7e69df60, 0xef7c5343,
+    0x79445ea0, 0x19343045, 0x9da5f42b, 0xb7695efa, 0x65f48b37, 0xb1dce192, 0xeda166a2, 0xd20c70ce,
+    0x7b8cc650, 0x5f88eab6, 0xb7d83dc8, 0x0621074f, 0xfb5eacb1, 0xd0a54380, 0x87d833cb, 0x1bf3ad40,
+    0x92cadfef, 0xbac1d4d2, 0xa003dd80, 0x72fa9152, 0x5c3dce98, 0x89c5396c, 0x726637e3, 0x0c9b55b9,
+    0xb535d9d4, 0xab6266fd, 0xf66ba6e7, 0x86afd747, 0xff543f1a, 0x8dea3215, 0x2a65a4be, 0xc7596988,
+    0xa1b3005e, 0x3188dd3e, 0x40d0789f, 0xc00c9ee3, 0x8b43e86d, 0xc2e2dddc, 0x6a1fc844, 0x9a4d3c9c,
+    0x7eff9be7, 0x23080c0a, 0xb3b8e3db, 0xf3aaab6e, 0x506f5b6f, 0x352c46ad, 0xb0577a19, 0xe8994858,
+    0xeca55272, 0x028e7826, 0x7a364b48, 0x2053150f, 0x86741f32, 0x89e44029, 0xeedbbab0, 0x1b639166,
+    0x9b83df8f, 0xfc62f40d, 0x7d165680, 0xa35bbd15, 0x00ff667b, 0x3ee66fc1, 0x50b5f7c9, 0x89f8db62,
+    0x2b9cf5be, 0x4859c344, 0xf9e40395, 0x291f34c7, 0x936a43f9, 0xefd9db28, 0xb6a08f08, 0x1d277fd9,
+    0x7cd4d731, 0xdbea789e, 0x0180ea14, 0x9e261e59, 0xe8d51d68, 0xedaca195, 0x7c928634, 0xeddc51f2,
+    0xa13215af, 0x928aa665, 0xdce55b5e, 0x35dc1ee6, 0xc8f1879a, 0x4f7e14cf, 0xedcf9967, 0xcce5c842,
+    0xcb05e160, 0x1d143178, 0x0d1068b3, 0xf06b810c, 0x139dd976, 0x850844ed, 0x26598744, 0xe6e08156,
+    0x860ac7a4, 0xb4f665a9, 0xa5ac7e73, 0xd4a308cf, 0x651021b8, 0x8615dd17, 0x5988d05e, 0xef972420,
+    0xd8982fa4, 0x31f0d735, 0xf90641bc, 0x288d8ef4, 0x8ac6694f, 0xb3dc6ef8, 0xf6220bd7, 0x983c314e,
+    0xaaae0e51, 0xa05a0100, 0x048ff3c3, 0x0f414e8e, 0x7a5e3c29, 0xc83235f7, 0xef8d41e6, 0x77d0fc13,
+    0xc62042c7, 0x1bc86cce, 0x9c3ead6d, 0x995568b1, 0x41e10c54, 0x033f2abf, 0x00a30a3e, 0x184401e6,
+    0x1772b6ff, 0x61c99c1e, 0x7d4269ba, 0xb0b164ee, 0x336629f3, 0x999e4efd, 0x2f6c14f4, 0x5b414881,
+    0xf39fc74b, 0x02f3464d, 0x6f5dc13c, 0x851a0424, 0xda7976c5, 0x6821c6b0, 0x1be4e6c2, 0x16a76486,
+    0x16cc3972, 0xec24f421, 0xc1bf9136, 0x0749f5b3, 0xbde0677b, 0xe0dc648e, 0xb1075f8a, 0xae20cebf,
+    0x6a9f5b5c, 0xd90163b4, 0x67cf214a, 0xd3b6da53, 0x0a6aa96c, 0xa2706227, 0x8c187872, 0xcf57f502,
+    0x5444d849, 0x876dc571, 0xc442ccf9, 0x0dba76b6, 0x761929f1, 0x3aed89dd, 0xcd0851ec, 0xe6d60d5f,
+    0x8f1be139, 0xa57f9104, 0x803acd2b, 0x7b092241, 0x331b4a6d, 0xd0237232, 0xf107d418, 0xa6d7771b,
+    0xa9b97ead, 0xd56dae16, 0x761a5fb1, 0xeca61e61, 0x1ceb893b, 0xaaacef7f, 0x673aef64, 0x1446af7f,
+    0xffd00309, 0xbe234322, 0x4344bf86, 0xe335fb7c, 0x0662794a, 0xeb7baee0, 0xf0a35574, 0xaf03e7c2,
+    0xb883ff19, 0xdf0c5d0f, 0x38a23a52, 0x89a87949, 0xd75d9611, 0x69e4cbfb, 0xc67eeb4b, 0xb4c49d02,
+    0x4e5085de, 0x77422ab5, 0x3d116c82, 0x4b2ad81e, 0x03307b43, 0x3be58975, 0x6636ee99, 0xc5fdf62f,
+    0x136f1f3b, 0x1d03f1c7, 0x029698ff, 0x5d4ee8a6, 0x22b87f74, 0x14a72666, 0x9c26f636, 0xd15a4559,
+    0xb22483d9, 0xe193b2eb, 0x6c5be4e4, 0x736d83d0, 0x45f154e5, 0x83f1d03a, 0x5b5db7d0, 0xa026bbe4,
+    0x81732053, 0xad833153, 0xfe6058bf, 0x8a290af9, 0x71ea6849, 0x427cff54, 0x59e565a8, 0x5b1199d5,
+    0xa1561d6c, 0xb21ddeeb, 0x599d4b6e, 0x08c19bc5, 0x874c5e76, 0x88011d4a, 0xba778554, 0xbfcf6b1a,
+    0x0c1b2344, 0x76fd6a5c, 0xbb6d440c, 0x2001238d, 0x6eccde5e, 0x324ff014, 0xf8779a3a, 0x8c8e99f5,
+    0xc5928d1c, 0xd18a4a16, 0x2311d7ae, 0x4b7c07ba, 0x0ff36f85, 0xda4c414f, 0x3f2fb1e4, 0x461d0b9e,
+    0x14bfbaf9, 0xcc4a732c, 0x44b0c5ff, 0xdc4d5753, 0x5150df67, 0xdb044dd8, 0xff098e14, 0x8e293637,
+    0xd5749393, 0xcce2b135, 0x7f1ab77f, 0x323685e6, 0x427d89dc, 0xc3cdd075, 0x04afe73b, 0x048bf3af,
+    0xd0493b01, 0x88ba8a75, 0xc45e8f4a, 0x005a0331, 0x3dd2412f, 0x445bc4a8, 0xe1c5aa86, 0xd64a76c9,
+    0xd14fc36c, 0xeb737589, 0x8b6a9e60, 0xddd67f3b, 0x8bbb0175, 0x44a1bfeb, 0x9def6812, 0xcbd75456,
+    0x697ce650, 0x4014370b, 0xc51d745e, 0x577dc17b, 0x5d10664c, 0x38333bb0, 0x7260c2f4, 0xf754c8f1,
+    0x00000000,
+    0x35269e11, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000268435456 */
+  { 0x00000000,
+    0x9c9cc44d, 0xa18304b8, 0x6ca93bc2, 0xc939fc60, 0xa2cf8d9c, 0x72e88c0e, 0x2a12c90e, 0xdef99402,
+    0x1644b423, 0x61844397, 0x0b0abb41, 0x3f119ce0, 0x18b423d4, 0xfc42208f, 0x6a033dbd, 0x75c93f84,
+    0xaaa60801, 0xc803fa09, 0x2d9c6f1b, 0x60fb2d33, 0x60f17283, 0x5ac47585, 0xf22f91a9, 0xf1bdc6e7,
+    0x9a4d9a18, 0x867e88b3, 0x44cb8b67, 0x42b1cb9f, 0x89d87243, 0x50f51941, 0x88b8dc86, 0xcd241282,
+    0xa5d1b9b1, 0x515d4208, 0x29796f1d, 0xc11bd7c1, 0xcb56f940, 0x0fa2cb4d, 0xd98e9ec2, 0x1dfe16bf,
+    0x9f0ae7e3, 0x6ecd31b9, 0x32918012, 0x64d93866, 0xd3f022eb, 0xe609fb22, 0x6c8b21be, 0xf332cd5d,
+    0x64651fce, 0xc66c1a80, 0x262f3d82, 0x2ba394b8, 0xa3405820, 0x5b2e1368, 0x710b652d, 0xd9cefe74,
+    0x8b5eb0a3, 0x3a5fd82e, 0x368f68ae, 0xcf30b009, 0xc2821287, 0x9b2eac72, 0x9002fd13, 0x76d93f5c,
+    0xa7f9c840, 0x30581a4c, 0x88626805, 0x88e3fb98, 0x37eb6acb, 0x0bc628fd, 0xcebb963e, 0x679bbc65,
+    0xa4038e9a, 0xd9fee86d, 0x8a14f8d8, 0xc208c956, 0xa3e19694, 0x0ad3af3c, 0x55f3b5c2, 0xab253659,
+    0xc8f10d05, 0xe0c368c6, 0x5e86696c, 0x17b3b173, 0x073fdf83, 0x2d92736f, 0x9a7af065, 0x1cfd2b80,
+    0xe5d45d14, 0x855880f6, 0x98e5062a, 0xbb668605, 0x088dfec6, 0x7bdd4fc9, 0x6efdf90e, 0x5d608fa1,
+    0xa7620be3, 0x1e4b40d0, 0x6e4f772d, 0xdc176925, 0xb6e1251d, 0x2d1b6688, 0x79934b59, 0x82479e8d,
+    0x122c30ec, 0xfb391e4f, 0x29c6ad2c, 0xc2303771, 0x4af6aab0, 0x6317817e, 0xe894b000, 0xa18b3833,
+    0xfd04da12, 0x2de0f3bb, 0xb1b8aabf, 0x8e75d35e, 0x8dd4429b, 0x2bb73917, 0x41c165b1, 0x11c3601f,
+    0xe820eea2, 0xd5f01fca, 0x4272d52a, 0xad70e26b, 0x84eccf69, 0x00595ba1, 0xc3f02ed6, 0x6ea7288c,
+    0x01fdaa6f, 0x171e9544, 0xab94d7bc, 0xfdaecc3b, 0x39fb6b60, 0x2abd3bae, 0x7f14c924, 0x54f7c7a7,
+    0x2286d98e, 0xfb179560, 0xce376cc5, 0xf1310c3d, 0x96097160, 0xe09fd308, 0xade93430, 0x589af76e,
+    0x3618e3b3, 0xb0a9b0fb, 0x1d8212e3, 0xb3f98bbf, 0x8dde0f47, 0x440ef6da, 0x31b0c7d9, 0x12fd449a,
+    0x5c15dce8, 0xef6b586a, 0x7d6446f7, 0x728d14f9, 0x2fba5d6f, 0x29a1d550, 0x7106cdb8, 0x5b3c4a69,
+    0xe5c8807b, 0xca7b2726, 0x4b1172cb, 0x954779a3, 0xf52d53e7, 0x807a5100, 0xd77055b9, 0x909977fe,
+    0xf254de6f, 0xe8e8f51f, 0xc4768692, 0x66aa8c5d, 0xb04f2cb3, 0x1b3a12a9, 0x74cad9d9, 0x84f1d1a5,
+    0x47bef670, 0x2571d837, 0x88932774, 0xa15395e5, 0x053f7988, 0x98343818, 0xe5fc397b, 0xd164cba0,
+    0x5d6e42ca, 0x6a72d552, 0x7715c9be, 0x2b7931f4, 0xb20e648d, 0xfd2d2533, 0x5142b27f, 0x4185e289,
+    0x3f6c5d7b, 0x24912f6c, 0x2430bd85, 0xebe3b4ce, 0x4078cd9f, 0xbc6af94f, 0x922ecd0b, 0x0bd2562b,
+    0x32512533, 0xcc73cf24, 0xf7952e66, 0x2c4f4c81, 0x7a7d4f09, 0xd85e8f01, 0x0e8f6c4c, 0x53d19bba,
+    0x3ed21e6f, 0x3bd9b747, 0x36ccafeb, 0x0f51a7d8, 0x29f6c414, 0x96510f2b, 0xcadb6630, 0x042d25ca,
+    0xabaccdb9, 0xdbf56bcd, 0x3b495762, 0x55a10b4f, 0xc15273e1, 0x4f9064aa, 0xebecc8fb, 0x64632fab,
+    0x07188f6c, 0x0570f828, 0x794459c2, 0xbb64757d, 0xb731f3e3, 0xb7c1a8ac, 0xf466914a, 0x94270d25,
+    0xe275b2e4, 0x68c3bbed, 0x1139a32e, 0x953ca458, 0x12fe5564, 0x58a62b90, 0xf84e05ff, 0xddb5da87,
+    0x4b46ee67, 0x72bc7e3b, 0x67f21cd0, 0xf11fdd0b, 0x90cf86e4, 0xc6cb0a8e, 0x67abb115, 0x8fa19c84,
+    0x43a76b2a, 0x93204593, 0xf5d1bb95, 0x4b2a35a2, 0x23b86698, 0x795e16bb, 0x66bc8b1c, 0x761bbb9f,
+    0xcf2b9719, 0x7707fe20, 0x1c217bf0, 0xef7f1822, 0xee37f108, 0xdc5e1ea3, 0xc4c264e3, 0x707c429c,
+    0x6c3b0504, 0x9c40ad98, 0x4bb098d7, 0xb621de71, 0xfc403fd7, 0xddee0e7e, 0x3f2600af, 0x0aae935b,
+    0x82cc854c, 0xfd4b05fc, 0x4059c9ea, 0x3d68b873, 0x805ad8ab, 0x9597f638, 0x9b8c38e9, 0x298b414d,
+    0xb7fc016f, 0x6c2267b5, 0x0ec0ce10, 0x5b505041, 0x0a7ab2a5, 0xee2ea98b, 0x68632122, 0x7a9ac6f2,
+    0x8debe84e, 0x353d37db, 0x74580097, 0x4205b1b3, 0x063cf6d9, 0x8f5fd88c, 0x14cbfd32, 0x53c8e0db,
+    0xe12af241, 0x4fc0c001, 0x87b09c8d, 0x5481fc4d, 0x370319af, 0x13af9783, 0x788a5ee1, 0x7f941339,
+    0xf39a28a4, 0xac9f38ab, 0x1cc258ee, 0x69abf45f, 0x6890e3a5, 0x8de8df94, 0xc739c994, 0x797ec08e,
+    0xed3e2afd, 0xa14daa0a, 0x48eb9511, 0x855b1774, 0xeba30189, 0x22a21644, 0x124963fc, 0x206a71f6,
+    0xbdc94a2d, 0xe296ccb3, 0x400eb2c2, 0xe273efa0, 0x61c29a74, 0xd1deabc8, 0x9ede5712, 0xe32cbfda,
+    0x83a4677a, 0x5cb94b5b, 0x16d08ae9, 0x6a2a82c8, 0x3eb49873, 0xbf37f9a8, 0x7ed20f25, 0x8ede6e60,
+    0x44636da9, 0xee973414, 0xb06ddced, 0x47278306, 0xa774d530, 0xbcda80b5, 0x5aa839c9, 0x7e362ed6,
+    0x6eaef26c, 0xce75755c, 0x524a3b8f, 0x78e94afe, 0x58f86116, 0xeadd4c5b, 0xa679514a, 0xba118334,
+    0x1c672afd, 0x8f5ac269, 0x74664b16, 0xc872010b, 0x30ce7702, 0xbde639c3, 0x4c848455, 0x0f2009fe,
+    0xa6276b02, 0x4a56cce6, 0x214b0d9c, 0xab560509, 0x95d74337, 0xf6aa3a5a, 0x8817b04b, 0x194d1f78,
+    0xc78d62aa, 0xe5c8f2a0, 0x80e7557a, 0xfe490cfd, 0x36940ce6, 0x9d22d10d, 0xe099791f, 0xe7ed04b1,
+    0xe3667d92, 0x6d0292f4, 0x084a76a5, 0xb783eafc, 0x7e2dcd5f, 0xae02bb59, 0xeca08389, 0xfc5eb7be,
+    0xf0774766, 0x77f60433, 0x3da1a4e5, 0xfa706a5a, 0x57299fe3, 0x7059a5b6, 0xf46b2cbc, 0xf9962ba4,
+    0xa2b2655e, 0xdd69bbeb, 0x8946a9f5, 0xd6ceb845, 0x94affa5a, 0x33002082, 0xee91be0c, 0x080cc762,
+    0x08505e41, 0x0728e4e2, 0x8965e85c, 0xd1135bb6, 0x534b2fad, 0xf30d70dc, 0x12de7d27, 0x22e6be6b,
+    0xe27a08c0, 0xe87ced72, 0xfda013a6, 0xe6fbcfda, 0x6058501f, 0xe402359c, 0x6e5879bb, 0xa6ccbac1,
+    0xa9d6eca7, 0x4065cb59, 0x212179da, 0x3e441b04, 0xfa89ca01, 0xd037fe3e, 0x1c4bc0b4, 0x00d29f9a,
+    0x0434e178, 0x0963d2be, 0xc5a7ee76, 0xb9ecf38a, 0x169ccf0d, 0x8ed71b41, 0x1f8c72d3, 0x919f0ba1,
+    0x48f65ab2, 0xb796dd15, 0x00cb3227, 0x04cbe704, 0x96ab1892, 0x9ea275ad, 0x404d8954, 0xb6afdb81,
+    0xa986ac73, 0x660ec412, 0xf885738c, 0x4968e1ca, 0x99c57616, 0x33e677d3, 0x3db4513c, 0xc6c0fa20,
+    0x0b32b2de, 0x169ec951, 0xaa4063cc, 0x55aac771, 0x329f8f80, 0x2ac16eff, 0x8fd484cf, 0xbe7eed79,
+    0xa2c1087e, 0x169bcfc1, 0x19868cd6, 0xccf5bf9d, 0x4ab62ce4, 0x19db8ade, 0xda99c5f5, 0x135b169d,
+    0x52a0c6ff, 0xb2e8412b, 0xc5663859, 0x244f77db, 0xd69772d8, 0x5e80dba2, 0x70b83b76, 0x4629902a,
+    0x52a9e83f, 0x98fddf43, 0xa51a88fd, 0x59917a5b, 0x42b19366, 0x211b929d, 0x9733b4a0, 0xbaa97b19,
+    0x4139eb31, 0xcd0bfa07, 0xa7e7e347, 0x99e4b56a, 0x06fc1019, 0x9954163e, 0x1182989b, 0xae7bdc9d,
+    0xfbc540bf, 0x9e1a7373, 0xcbc19c5e, 0x845ddf09, 0x3f8ae4f9, 0x99c1ea6d, 0x78d993af, 0xb5c6b0be,
+    0xd744e59e, 0x561814d2, 0x3cde1ee6, 0xb6e68abd, 0xbb855f9c, 0xd0aa4e4f, 0x3aec914e, 0x53ca813e,
+    0x89236e4e, 0xe7942aed, 0x1d2b9c86, 0xe5852c47, 0xaa588e62, 0x645aa41b, 0x51fdb68c, 0xb5d04560,
+    0xe0bb053c, 0x1edefec8, 0xf708a71d, 0x2756dd61, 0x65e91828, 0xd04cbf2e, 0xaf9028a6, 0xff8563f1,
+    0xd2551d92, 0x435fdb9d, 0x744c8f00, 0x274e9892, 0x20c94956, 0xd7ff3488, 0xc3c43290, 0x69a98ecc,
+    0xacb211b5, 0xdc754bf4, 0xaf333add, 0x38bfd2d0, 0x90be23c5, 0x74219318, 0x8ed97783, 0x2e58788f,
+    0xdeeeafef, 0xf12a0821, 0xf8159d05, 0xcabc38f7, 0xb2ef9357, 0xf592601c, 0x4962d40a, 0x52eb17b4,
+    0x41789c6a, 0xc527aef4, 0xef97eba5, 0xdfee777d, 0x9d519145, 0x6e201fd7, 0x49677f31, 0x7f84f5c0,
+    0xa6ad2a6c, 0x8193b489, 0x25e75b17, 0x037f2969, 0xe5f443a0, 0x94b014a6, 0xe8da0b05, 0x8630b598,
+    0x1bd459a3, 0xa33cca30, 0x4acfe671, 0xa2c758e1, 0x8acd37be, 0x99a8eab6, 0x7ededeff, 0xf8b34f22,
+    0xd5298bf5, 0x303bd72a, 0x1fdbb842, 0x3601544f, 0xbea2daf5, 0xd181bbee, 0x46a3149a, 0x3ba4eefa,
+    0xaa8f3003, 0x0ac836b0, 0x469ff593, 0xe0048932, 0x838fd8f2, 0x4ac23cc1, 0x982cd201, 0x461ade60,
+    0xe1ede2dc, 0x2f08bbc1, 0x623f6064, 0x5ac4a000, 0x0832db2f, 0xda999775, 0x635ccc6b, 0xe5394178,
+    0x26e847d5, 0xcb4db97b, 0x65b146f9, 0x2073a815, 0x6a35efcd, 0x3f65dab5, 0x99599111, 0x19a6ac56,
+    0x556769e6, 0x3ca8ed36, 0xf80011af, 0x9161c729, 0x65d8ca53, 0x3e08be6a, 0x5ac02fa1, 0x2e4d974c,
+    0x013befd7, 0x69222758, 0x61fc85e1, 0x3834bdfc, 0x6c8e8650, 0xeac72f13, 0xe7a4e079, 0x2389d79f,
+    0x33e8aae1, 0x4fdd3f42, 0xa335ccaa, 0x6baaa634, 0x6c245cf6, 0x825911a1, 0xd7b351c8, 0x8a986283,
+    0x0deee80f, 0xa358307e, 0x6c4926c0, 0xc9755ce5, 0xa45adf00, 0x2bfdd3fa, 0x3a64b0b5, 0x59fe2250,
+    0x37473b0e, 0x974b428f, 0xeffdd055, 0x5ec7fd3b, 0xd9efef81, 0x732dbeb5, 0x401518f5, 0x243f5633,
+    0x5aba17e8, 0x0094b9cb, 0xa324894e, 0x6c541ade, 0x9feca719, 0x33244293, 0x9d959102, 0x90f8964f,
+    0xa2c8c034, 0x7ab134a4, 0xeeb67744, 0x09f38fc5, 0xe0441dd2, 0x6fb3f7f4, 0x0fdac949, 0x7e04bde1,
+    0xd9101986, 0xcff26368, 0xcf3af978, 0x148ff106, 0x0c205672, 0x2762baa9, 0xaf8e9c03, 0xcff7a21b,
+    0x51857721, 0x5ed4809b, 0xf4db36f1, 0x5b1bc587, 0x3b24d701, 0x96d490d4, 0xd70b2284, 0x6240b273,
+    0x3a97ad85, 0xb4c93b63, 0x0cf30f60, 0x2b42ef36, 0x8a1cec34, 0x57421602, 0xef354f28, 0xc3659dd8,
+    0x275c82c8, 0x303953b2, 0xcd043065, 0x1382a3b1, 0x6e9b5a81, 0x0fc7e201, 0x36f0d6e7, 0xd98a6f6e,
+    0xd4d85404, 0x2277209e, 0x0cdf446d, 0x305c9fc4, 0x84398281, 0x64db944a, 0x525dfdca, 0xbe285f68,
+    0x76be8f18, 0xd963f733, 0x4fa9d162, 0xabe8f43e, 0x9fff24b9, 0xc23d9a9e, 0x68abae58, 0x8a957f0e,
+    0x6123e6a1, 0xd4eb0a8e, 0x871a6703, 0xf11713d9, 0x36493851, 0xd38f9408, 0xcb91012e, 0xb4613180,
+    0x22eac8b6, 0x5cc08aad, 0x83883b53, 0x9446e9eb, 0x74a1501d, 0x0b795ea6, 0x9873c079, 0x7f520822,
+    0x9b6ae612, 0xcc16a396, 0xbda53c6c, 0x76fc306e, 0x3b208a38, 0xd1a95144, 0x14ac425e, 0xbfa9b529,
+    0x46edb36d, 0xac58c447, 0xd69009b4, 0xc14e86ed, 0x6147966c, 0xbd2773a3, 0x8051f4e8, 0x009250e6,
+    0x88265055, 0x0da23614, 0xe0765b97, 0x89372e35, 0x5af53508, 0x87755c55, 0xa0899e8d, 0xea86f572,
+    0xd4711021, 0xb106057b, 0x7c413fdc, 0x8c535e34, 0x1c11f605, 0xa981e5e0, 0x51047e6c, 0xb3c88091,
+    0x4a32d918, 0xd1646f52, 0x7700ea75, 0xe13bc4dc, 0x023f9851, 0x67c904e9, 0x44a1e8b5, 0x2a020b64,
+    0xfa0731a6, 0xea189f95, 0xdc7706c2, 0xb2af96ae, 0x96a2ef25, 0x379041c3, 0x6ea430b5, 0xd5052ff1,
+    0xeb057ed7, 0x9777db2a, 0x5336b64a, 0xaf6037d1, 0xd918bee1, 0x87989266, 0x687b1cb5, 0x55188617,
+    0x5f126106, 0xd335c0f2, 0x3ee04e29, 0xd7fe298b, 0xe51de70a, 0x55e8befe, 0xd8738637, 0x7ea7ab1a,
+    0xea978577, 0x9eb98620, 0x4143d40b, 0xa44fda08, 0x2e46cd68, 0xfba30b28, 0x7cb855be, 0xb7a5b720,
+    0xe92de136, 0x718bf905, 0xf6e6c01d, 0x6bf2ddb1, 0xe651116f, 0x4be3f5c3, 0xa97c9491, 0x571a20a4,
+    0x6a3309ca, 0x55193473, 0x2e96741c, 0xbd0c41c7, 0x3c5a9928, 0x237d7b07, 0x334eb412, 0xc7446be6,
+    0x9695e036, 0xfe289af9, 0xf65ed399, 0x9fa3bf18, 0x3f24bd76, 0x20ee14b6, 0x6f3d7693, 0xc621c881,
+    0xc4fc2dca, 0x37e1c775, 0x3dbbdf4e, 0xeb2ebe6b, 0x47a07643, 0x04e8f262, 0x00fb6e4d, 0x4f2facaa,
+    0xb0b418e0, 0x989ee170, 0x092797bd, 0x5bd945fa, 0xbf39d448, 0xec871537, 0x740779a2, 0x60833a35,
+    0xde40c149, 0xd98cd541, 0x30c8dcbb, 0x1af3f1c7, 0x750f75b1, 0xc356e9b0, 0x39d57346, 0x2cccc371,
+    0x33a8f92d, 0xeaf995b6, 0x9685476c, 0x564f2246, 0xccf99471, 0xdd82499c, 0x71a98ba1, 0xd8dfded3,
+    0xff0e127e, 0x97cd353a, 0x42774910, 0xd1bc6160, 0x98cab23a, 0xfca41b6d, 0xdbb16fd7, 0xf3818a95,
+    0xc755f573, 0xce965eaf, 0xc115e5fb, 0xf62d5b0b, 0x1a254d6d, 0x66265edd, 0x10dbf110, 0xea32d1d8,
+    0xa46a484f, 0x5d8c2042, 0x9325c6b5, 0x92305fde, 0x0853814c, 0x8fc30e35, 0xe2597076, 0x552eb0cb,
+    0xa8c3350f, 0xe44ba55b, 0x81751a7a, 0x1c0793fe, 0xe084cacc, 0x3cf70849, 0xf2e6ca9b, 0x6fa215c4,
+    0x9b5ad065, 0xd060ab77, 0x38be5d43, 0x78a3c22a, 0x1202ed32, 0x211e6c90, 0x21e5acc1, 0xf8586e3d,
+    0xc792ce1e, 0x10d47d35, 0xf5b6ca96, 0xe2c3d6ee, 0x30c876b9, 0x22152780, 0x72f7d5a9, 0xaf253151,
+    0x1f3eefc8, 0xa13544f7, 0x4aee0458, 0xf4874477, 0x6f42529b, 0xc4fbde9e, 0x81890ac3, 0xb5c0df84,
+    0x50462dea, 0xdba891c5, 0x76e431ce, 0x4fc1fc64, 0x47a9746f, 0xb24c7813, 0x5d6ba459, 0xa0cd2864,
+    0xbebf3273, 0x5fc8d124, 0x6b3170ea, 0x7fb5cf53, 0x38509988, 0xac9189b7, 0x924fc81f, 0x0c2324b5,
+    0x4bf96bb8, 0xa3e3e7cf, 0x7bc04252, 0x6f24345c, 0x9ef6c8a6, 0x19ae2669, 0xb74ae9e8, 0xa6726783,
+    0xe3eef26a, 0x39097ff6, 0xa33b7399, 0x0f298016, 0x25f45d05, 0x42aa1bd6, 0xef89e9cd, 0x1c6d42f1,
+    0x47ae54aa, 0x79713554, 0x8e8116b3, 0x65e4ad95, 0xd3f57ad8, 0xa8baf8a7, 0x0fd8c060, 0xacc76f45,
+    0x024ab6d4, 0x8a14bf89, 0xa3a01c05, 0x5df3bd8a, 0x2145c681, 0x7ecec393, 0x319d8f1c, 0x1d546c07,
+    0x6011e4f2, 0x08320b84, 0x177e0701, 0x338fac52, 0x81995da1, 0xd6c401c1, 0x96d542de, 0x6327fb15,
+    0x696ddf52, 0xd0871ae4, 0xb58d1c19, 0xb0941314, 0x630d2761, 0x435e630e, 0x344f9e8b, 0x6e4813d3,
+    0xd74b4f60, 0x1eddef72, 0x7cdb6682, 0x8181a413, 0x7dee7309, 0xf769f838, 0xa8f833c0, 0x069e427d,
+    0x3e9fde43, 0x59349659, 0x9412a009, 0x1e8f6500, 0xe175a635, 0x20ccfbe0, 0x03f525b6, 0x764ab6c1,
+    0x802d693e, 0xfac1192c, 0xdfa0ccaa, 0xeab59a89, 0x50554ed9, 0xcdd2b025, 0xa04488c5, 0xe778184d,
+    0xf0ea60e6, 0x0adfcd7a, 0x4588f306, 0x561f60b0, 0x024fb446, 0x768f949e, 0x9c039dd5, 0x629cf499,
+    0x7ba187d1, 0xa6043f2e, 0x08132aa3, 0x665437e4, 0xa5acca51, 0x21f6be61, 0x91f3e887, 0xb1ed94f5,
+    0x00000000,
+    0x1a934f08, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000134217728 */
+  { 0x00000000,
+    0x2e4f1bf0, 0x02e3077c, 0xa6d941dd, 0xe4d8356c, 0xac355797, 0xdce53d2d, 0xca0f64ec, 0xd2f19d29,
+    0x735a33ca, 0x26298052, 0x233ce50c, 0x7be72837, 0xe305c10d, 0x061c5312, 0x8b263790, 0xcb7d0fc8,
+    0xefa21682, 0x69a4e457, 0x76956036, 0x6bd98410, 0x92ac4177, 0x49ef8504, 0x60cdda08, 0x6cb6fc7b,
+    0xd2622057, 0xc03a5c31, 0x70f4ea51, 0x20c7e43c, 0x62756c49, 0xed5baed0, 0x0b95e1ea, 0x60b44ec6,
+    0x987ce37d, 0x7fa9388f, 0x9de416dc, 0x0c58989f, 0x0654d201, 0xd46fb2b3, 0xdcab033e, 0x82541a39,
+    0x89f1a806, 0xbdb39f37, 0x2a53e1b9, 0x400b07b5, 0x349fc6b8, 0x9c1c8c9a, 0x17017f26, 0x9938abd5,
+    0x1a39568a, 0xe9f2109b, 0x43688fdc, 0xd4b4d032, 0xae304d2a, 0x8d288531, 0xe3a95c0e, 0xe5e4c3e2,
+    0x2ff19a45, 0x8118efcb, 0xf3663d88, 0x5017ac1b, 0xef400b18, 0xbee571e0, 0xf584ab94, 0x344f586b,
+    0x8e31d02f, 0x76997048, 0xa75b5438, 0x9bd68dad, 0x4d12d0b7, 0xd236aaa9, 0xb9161084, 0x398cf885,
+    0xde7b0937, 0x8c0f8e4d, 0x58ba090c, 0xb7038dee, 0xf4eba238, 0xd0b4a6c0, 0x1d5c7ade, 0x88feef3f,
+    0x217f9136, 0x39f18e0e, 0xe640da23, 0x253023ac, 0xf721ea78, 0xbc7addd5, 0xf1000bf6, 0x3cc7399d,
+    0x0d2a87f2, 0x5e04918e, 0x5f371001, 0xe23b03e0, 0xf35c4ec5, 0x3ba8b7a2, 0xc8826ed1, 0x7fbada62,
+    0xcc948732, 0x07f9660f, 0x38faf9bb, 0xeba5cf09, 0xf94f2ac2, 0xcc84d4d8, 0x4c1a8c89, 0x5d650551,
+    0x83c382eb, 0xdfe42c0e, 0xe97ce2d1, 0xb6d4cfee, 0x1635a31a, 0x98454e1a, 0x0b24f287, 0xece60b43,
+    0xe4b39913, 0x7047d371, 0xd0ebd706, 0x2fe84fd5, 0x1f5db22e, 0x76ca57d9, 0xaac6f2ea, 0x3b699c23,
+    0x30d8ff38, 0xf52cd0ef, 0xd9b20c7a, 0x1e6a6cb6, 0xb8f3dbd0, 0xbc3e491d, 0xbe89008c, 0x03417bc9,
+    0xb9c229b7, 0x6f54f90f, 0xa3d341ec, 0x73947d88, 0xb8792a9b, 0xd3d19421, 0x0ed1cc94, 0xedd34251,
+    0xa98a0f29, 0x4b7d1a5a, 0x844f5f7d, 0xa89a89a0, 0x6d479c09, 0xcbe509ae, 0x75f147de, 0x68f23b9b,
+    0x827f782d, 0xa62cfb87, 0xcb7201c4, 0x2ee4b610, 0xb250b6aa, 0xc380d318, 0x88a2c06c, 0x981ad3a0,
+    0x4453c897, 0xe6ed8f60, 0x8ecacaba, 0xcebd5b9a, 0xab06679b, 0x37fa11d7, 0x87b277b8, 0xc2574d09,
+    0x5055f5e3, 0xb26dc174, 0x40542508, 0xbae31b47, 0xc30daf87, 0x26f08397, 0x5422cd34, 0x66aa907d,
+    0x4c921532, 0x377f2674, 0x4829eea4, 0x70db7177, 0xe2f59a8e, 0xacc14f93, 0x8cdfab57, 0x1e781996,
+    0x8672f538, 0x70809843, 0xcaf8594a, 0x8f3594bf, 0x11994e95, 0xf21de91b, 0x78b7ae6d, 0x19987102,
+    0xef8f45cf, 0xe5d4e615, 0x8bcf9ab8, 0xf5825350, 0x3f32a4fb, 0xc437a972, 0xd10a62d8, 0x6dc1f141,
+    0x910ba40b, 0x7908a86d, 0x57623bcb, 0x5c53490c, 0x9873e79a, 0x58ae7274, 0xf4f415d1, 0x6e1e356b,
+    0xc91c8c97, 0x3b8acb8a, 0x2018ab00, 0x82011b24, 0xf204e8c5, 0x57438757, 0xcf5b3be3, 0x777562cc,
+    0xec72838c, 0x5e3349ea, 0xdc3dba56, 0x1da5b706, 0x9ab20ed7, 0x9bbe4b5a, 0x75468961, 0x91110ee7,
+    0x872afecf, 0xbc013df7, 0x1a7f1cf0, 0x970316d4, 0x7fbce4f8, 0x1dd2ade1, 0x009a3d84, 0x7b2e8c9c,
+    0xca459826, 0x1179e556, 0x3745e53b, 0x4774c550, 0x17e7868b, 0x822a66f9, 0xe990709c, 0x3e26b25d,
+    0xff9326bd, 0x37ee4abd, 0x06928185, 0xe1fe0316, 0x7598f9e2, 0xa88d1a8b, 0xbb096ab9, 0xd38ac8e5,
+    0xf9ae0bb1, 0x38c9d32e, 0x772820d7, 0xdbc881dd, 0x7ba1d16f, 0x05de862b, 0x54a5eb86, 0x2f1db101,
+    0x624ad1d3, 0x017604d1, 0x05a4685e, 0x36aa0a5e, 0xe69e5b1c, 0x24fdbb81, 0xbf92a7d0, 0x7cd2d84c,
+    0x8b99633c, 0x996b422d, 0xd9b30c36, 0x96d20c40, 0x5995f668, 0x2ba1d6d7, 0x193419ae, 0x16e1f06e,
+    0x8027bf5c, 0x7fcf70dc, 0xc7d9a667, 0xf6d2db0e, 0x4bb35f9b, 0xa6d28853, 0x90ab0bd7, 0x7e813e8e,
+    0x1014fc58, 0x1f85933d, 0x013c28fb, 0x336c59f3, 0xa36eef25, 0x8e0ae8bd, 0xac803261, 0xedfafaed,
+    0x016e51d5, 0x58abc06a, 0x48bd7220, 0x63e21673, 0xdad0fb61, 0x7432b870, 0xc089abab, 0xb11e227d,
+    0xa490f635, 0xbc89f0e6, 0xe5ae5dc4, 0xb66a1b26, 0x54b7b674, 0xbfd9aa99, 0xa937f540, 0x7057c34a,
+    0xf6309853, 0x5627adf8, 0xf6142e28, 0x14c6a5ff, 0x16577dd1, 0x1bb2d04e, 0x247189f0, 0xeda9d852,
+    0x5ffb78ee, 0xf22df279, 0x1f495259, 0xd0bce003, 0x13f171b6, 0x4226b8ba, 0x9158acd3, 0xe7ef3af5,
+    0xc5ba9a92, 0x7c7a1bcd, 0xa68b8c9f, 0x476a9042, 0x6ad5f6bf, 0x0ef90913, 0x6f78e69c, 0x3a56b052,
+    0xa618ef4c, 0x5093ec34, 0x3b70b633, 0xa1fb85cd, 0x40a57177, 0x259fdc52, 0x81adf896, 0xdeade1cb,
+    0xfecc3a92, 0x3af58968, 0x2b5f1839, 0xc7e1bae5, 0xeee7714c, 0x1cf2235d, 0xb7eae328, 0xdefb282a,
+    0x30644687, 0x98c2d116, 0xa746270d, 0x8b430e6e, 0x2895f513, 0xcb406dba, 0x2e71e4ed, 0xccb3a978,
+    0x87575d33, 0x9e95db18, 0x9420e1ff, 0xa758f978, 0xb8d6383f, 0x536345c8, 0x1fec604e, 0xebf9cef1,
+    0xfaee5f41, 0x50e1fec8, 0x4b6745ad, 0x415d9b7c, 0x7b0baf2e, 0xc90532bd, 0x1305e753, 0x44600934,
+    0x041d2e5c, 0xa521d66e, 0x9cd184c1, 0x6eda45ff, 0x3d2d8a5e, 0x82ec3f5b, 0x7560a157, 0x8d230ddd,
+    0x6ababbdf, 0x7271d2cb, 0xf5c0ae58, 0xee218c7c, 0x8b859fae, 0x8edd6092, 0x601b0570, 0x20770024,
+    0xd750b496, 0xe5e3577e, 0x1c45e921, 0xc4b2322d, 0xad63d520, 0x0e68feeb, 0x1a2f5e95, 0x817442a3,
+    0x738a737a, 0x024855d0, 0xa1a27d5d, 0xd8f0b2d4, 0xe85f2e9b, 0x79787436, 0x9106b721, 0x5d3bef0e,
+    0x382f81a9, 0x4abd57f0, 0xcf0523ac, 0xef5e0686, 0x3e7eb314, 0xa6701585, 0xfd9f5ad6, 0x98a61087,
+    0x545e5624, 0xa3195dcc, 0xbc8e54ef, 0x1bfc9ef0, 0x3daf157c, 0x2610bec5, 0x8abcad94, 0xe1f9b070,
+    0xad0ac61f, 0x87f6cdf3, 0xddc2a23b, 0x0f0f239c, 0xb12b11fc, 0x71b5d4b5, 0xf5bd1225, 0x96c394df,
+    0xb9b8e283, 0xb2361924, 0x7cdc02f8, 0x57e61fab, 0xe80511aa, 0xd05d0c82, 0x777069d1, 0x644a13d5,
+    0x4aa44040, 0x8def9aa6, 0x063177de, 0x8e6bc880, 0xa0f5d995, 0x1b4b3774, 0x4d6bd645, 0x726abcef,
+    0x4ac53e12, 0x02792ff7, 0x6b610f03, 0x0eef653c, 0x01893305, 0x90990bcd, 0xce4eed1c, 0x6411c824,
+    0x63078c67, 0x7a1a9a49, 0x2bbdd7b9, 0x107b7126, 0x7e7b56b0, 0x25cf3291, 0x994c0092, 0xf671b1d5,
+    0x10b0e543, 0x285de360, 0xae1250c8, 0xb70aa0da, 0x87b73376, 0x1cee3237, 0x3478992c, 0x55834f80,
+    0x071ee1e4, 0x7b98cb81, 0x6ad7b959, 0xadbabb9d, 0x2e958011, 0x190b4d3a, 0xc7713d5a, 0x8c57d4ef,
+    0xa0668be4, 0x5f8a0f39, 0x9a3a2b65, 0xaf6227c7, 0x79a65023, 0xd5df2739, 0xffb7fbf5, 0x88caca76,
+    0xee0b3ffc, 0x22a3f5c1, 0x331e4f69, 0x410684a7, 0xbf8bfeb8, 0x2e8413a4, 0x42bbe625, 0x7a1e437b,
+    0xec406f46, 0x7e117035, 0xc4e2366e, 0x4dfdb147, 0xbe13f290, 0x4a9fb5cc, 0xd1097718, 0x50b2a03c,
+    0x5daf1fe9, 0x136b7cdd, 0x2c239ed5, 0x94308fee, 0xa3295602, 0x75e80de0, 0x1a36cfc7, 0x952df56d,
+    0x4401d92e, 0x20bdff45, 0x03f08f32, 0x108020ec, 0xf54c0f74, 0x1a885021, 0x0f5d49fe, 0x4487adf4,
+    0x4e295d97, 0xf63ebaa4, 0xa0bb0a0b, 0x8adfb456, 0x97a42e16, 0xad654ae4, 0x472c584e, 0x5ea99ae0,
+    0x2910109d, 0x8bad97f5, 0x7c294887, 0xed5f0637, 0xaa8c4e72, 0x49c2a8a4, 0xff31fd81, 0x018ad26b,
+    0xcb283e89, 0x8c78ef50, 0x28c8dd52, 0x2f0a02fa, 0x3a6b41a6, 0x2da55b86, 0x542c1b36, 0x66960dd2,
+    0x804adc05, 0x6178a180, 0x1db4ba00, 0x4f7e6b30, 0x2fdb7704, 0x9f24260a, 0xcd442d24, 0xa89ec9a9,
+    0x491cb1a9, 0x61d67b41, 0x9383b67f, 0x79b39e30, 0xb3fb54a1, 0x2e217aa3, 0xcd52cac7, 0xd3bfe664,
+    0x8fb05a35, 0xfa38b597, 0x166bc72f, 0x98491e97, 0xa8faf9d2, 0xa9edc125, 0x4cd63bab, 0x7fcc749e,
+    0x9dc42efa, 0xcbae7dc0, 0x4e78b064, 0xd01d11ea, 0xce888f5d, 0xc506e7c0, 0x90b5093e, 0xb24369d3,
+    0xfbb0fae0, 0x8567961f, 0x4183c5c0, 0x9caa792f, 0x7da530c0, 0xf36aa634, 0x00cd77a1, 0x3fc92591,
+    0x72555caa, 0xd926c84e, 0xa9cfd50a, 0x0e980590, 0x894712f0, 0x24a2a6ff, 0xc48a485d, 0x3d04e7ec,
+    0x872c5e0e, 0xc11117c6, 0xb64e4c19, 0x26bece0d, 0x5cf7ab60, 0xc062852c, 0xb7829bd6, 0x61cb1159,
+    0x87913188, 0x09a043b1, 0x0082de4b, 0xaac7ff6f, 0xc1e52ff6, 0x1a7cb590, 0x8bccf2cc, 0x6c782799,
+    0xe9b40727, 0xc3a9f093, 0x6867c507, 0x6fc54cb4, 0xa40efa9d, 0x3b97c2c0, 0xdedbeb94, 0x2f194182,
+    0xf6320f0d, 0x2f9ad845, 0x153a0c0b, 0xca392071, 0x648c6014, 0x9f0a5c03, 0x32f98856, 0x6f210d78,
+    0xf4ff36bd, 0x13502146, 0xf7cc37c6, 0x5191e141, 0xc4696f31, 0x51d053c8, 0xaef3bb45, 0xdff759fd,
+    0x1630a715, 0x310b4d04, 0x7cbaa8e2, 0xdbbaa0c6, 0x5a4963e0, 0xf949c2c8, 0x97d3a32f, 0x54f95189,
+    0xf8d89926, 0x2aa91f1d, 0xb6e5abb9, 0x8b7c1a46, 0x01688d01, 0x26e86c86, 0xd8d1c5ff, 0x1da4b654,
+    0x7e5fdd71, 0x5689473d, 0x7f0b6234, 0xfd8c4d6c, 0xb74f256b, 0xb35a08ec, 0x060ae83e, 0x38535e94,
+    0xf58ce03b, 0xf825c97b, 0x63a04eba, 0xefdb6b03, 0x0c85a4b3, 0xa14bd0d1, 0xc6b0a52d, 0xbd4fb3db,
+    0x1ebfd715, 0x0a883f2c, 0x4cde27eb, 0x810c56fb, 0xc51bd129, 0x93b0ac68, 0x7b04c5da, 0xf45167c2,
+    0xa0d2a74f, 0xe2148832, 0xf4a2629f, 0x89c17c83, 0x1adde200, 0xd47ae3c1, 0xd3e69cfa, 0x4428541a,
+    0x6c5d31e8, 0x43451827, 0x67b8a61e, 0xa41b1ff0, 0xa7566d81, 0xdf7757ee, 0x6a162236, 0x83746780,
+    0xfd701b0d, 0xab4b77c7, 0x49095f7e, 0xd8059ae7, 0xb96ffd70, 0xa54a03a0, 0x0b3d5c1b, 0xc3ac5ac4,
+    0x4166257f, 0xe89744b6, 0x9457b2b9, 0xfeb9fa19, 0x92c52d6f, 0xe9a0ff58, 0xb6c51952, 0xcdedcdae,
+    0xd4870d56, 0xbe18c9e5, 0xaf4c45c1, 0x8b5703ed, 0x79770824, 0x17772b5a, 0xb5d664b7, 0x3f11b553,
+    0x487cde5e, 0xe4487a75, 0xa3b9eeee, 0xc63822ad, 0x0c7ba6b6, 0x513c0cd0, 0x87234d42, 0xb51a8de6,
+    0xbcaa026b, 0x91f39ee2, 0xd6f515c7, 0x388d96bf, 0x8a9ecb7b, 0xf557d444, 0x508085cb, 0x37660e8b,
+    0x4c011acc, 0x308394be, 0x5882f5b1, 0xdd9c01d3, 0x6d337d81, 0xcd5a8ac3, 0x158789fc, 0x49c8be97,
+    0x2943de16, 0x25499f3a, 0x871530a3, 0x8838ff0d, 0x598508fe, 0x9c568c18, 0xfe043964, 0x1e18fcc2,
+    0x4bb43d64, 0x0bf4e632, 0xbadfdeaf, 0x835f2ff5, 0x0b657086, 0x37687be5, 0xfec60ebe, 0x7c12be4d,
+    0x133a0817, 0x7eced618, 0x80f573d3, 0xbdce8767, 0xbf31a8c8, 0xce268ed5, 0x8cd589d5, 0x6e1dba51,
+    0x0e86b3ad, 0xa8ca485b, 0x64db69b1, 0xe49b2070, 0x9e71ed74, 0x8e9fcf08, 0x3aad4414, 0x4a148fd2,
+    0x8da42c92, 0xfb8ad1bc, 0x5ff08615, 0x627cec73, 0xb90173e5, 0x8d9d86f5, 0x90e21125, 0xf5c31a1e,
+    0xaca574cb, 0x3c70d355, 0xce8f7737, 0x87ac5cce, 0x2dc1afa9, 0xc14b95ee, 0x45065c9d, 0x8825c79c,
+    0xa621242d, 0xd2385418, 0x8b15e346, 0x765109ff, 0x8d5683f2, 0x14f9480d, 0xe3616eb8, 0x2e718e8c,
+    0x9a432e69, 0x86e68a0a, 0x5b35fa1c, 0x5818d989, 0xd65763d6, 0xf17b4e69, 0xfc7b7244, 0x7ee4392c,
+    0x71c86556, 0xefd475e2, 0xe390b553, 0x5fbedc14, 0x5924ab07, 0x8888c710, 0xc25111ee, 0x41535947,
+    0xe6327d74, 0xa617e330, 0xf848cf5c, 0xeaeca0dc, 0xbd59be1a, 0x9bc22eb8, 0xd3eab756, 0xba5caff0,
+    0x5f9aba02, 0x47126026, 0xd6aea7f8, 0xa380be05, 0x011756e7, 0x692c9be2, 0x29b5709e, 0x0ec1f0b5,
+    0x48cd83c0, 0xaf153c60, 0x83b05bc3, 0xdb3c782f, 0x36d60ea8, 0x9f0d6293, 0x949f180b, 0x03d617e2,
+    0x5aa548f2, 0xe20060ab, 0x518349fa, 0x5903adeb, 0x48c44d9b, 0x4eacdc1d, 0xab9986c9, 0xecc7171a,
+    0x3c27da13, 0x0d7efa31, 0x7bd5e0e6, 0x50f52959, 0xa8b26121, 0x5e03e07f, 0xcead6431, 0x5a4af1aa,
+    0xc6aec013, 0x0e3b3504, 0xb23cc972, 0x75cfab1a, 0x3a783f26, 0x81d21871, 0xcf9dbb36, 0x19e531d6,
+    0xb5142785, 0x069cc4bb, 0x8c1b00c7, 0x8fd9f1d7, 0x639dd18f, 0x66df2655, 0xa34bcc9b, 0xea1d2d78,
+    0x290899a3, 0x21c3a36a, 0x96c41f49, 0x93bb2c84, 0xa60bef03, 0x8b97c3b5, 0xd162f7ab, 0xf9eeecb6,
+    0xe31b5ad7, 0xee012542, 0xeaffb272, 0x9f89335a, 0x18a7a4a5, 0x112de7c1, 0xc0843924, 0x1b61b05f,
+    0x553eb39a, 0x854d6710, 0x0481bc8c, 0xaf0c0cba, 0x3f040e20, 0x183e6d83, 0x46fd24c1, 0xb94010ae,
+    0x505f3e94, 0xd2c56971, 0xcd896445, 0x7d87b756, 0x27442af4, 0x9ce5252f, 0x2bb8dcec, 0x9c240ec2,
+    0x86db2355, 0x80ca28d8, 0x5e391c29, 0x4dfc87b7, 0x4573e57b, 0xcbb1d5f6, 0x6165ce65, 0x23752705,
+    0x44ac7028, 0xf618afcb, 0xff15d6b6, 0xae7936ef, 0x33ecc68d, 0x20c8ea94, 0x789f41d9, 0xd7956885,
+    0x6ce692d1, 0x48433b49, 0x5fd4c8b8, 0xc7ec4edd, 0x630d7896, 0x4322482c, 0xe3a67a72, 0x95813d2e,
+    0xad78ed0f, 0xddf4263a, 0x252b3cc9, 0x8b204891, 0x0078caab, 0x82a99589, 0x19a383b9, 0xd29e75e1,
+    0x80d091e7, 0xd91eeb49, 0x7ea565a9, 0x2d20d296, 0x65a211e1, 0x0e7785f0, 0x61e2b466, 0xe9047200,
+    0x02fd856d, 0xfe708ee8, 0x70f7ebd4, 0xa20ffe7a, 0x28862def, 0x5c475309, 0x5585f8d6, 0x2c07331c,
+    0x3f4a4b13, 0xc474068c, 0x6be4c7b8, 0x03318ad9, 0x43b0bc4f, 0x7c08819d, 0xbae0b5c8, 0xe7f604bd,
+    0xdf80660b, 0x0d12c759, 0xa00dc683, 0xdaf4d7f0, 0x835fb54d, 0x4ac27f20, 0xe87b24ae, 0x8566ebdf,
+    0x9417ff2a, 0x6cb39b18, 0xda8bdc26, 0x660542cf, 0xf567a256, 0x7f1cece7, 0x7111310a, 0x62700e8f,
+    0xfed68326, 0xace736f5, 0xfa1e1585, 0xcc3da4fc, 0x8c9ffe76, 0x20075f4c, 0x9a49cf47, 0xf007d565,
+    0x13eba491, 0x14e491c3, 0x8714458b, 0xb1de05d6, 0x38f30e83, 0x14fdfa69, 0xee09a1cf, 0x3ff5504a,
+    0x55f8c445, 0x8c09ff34, 0xb08c64f2, 0x9e24e6b0, 0x1fb4ff04, 0x3591f402, 0xbbcbe722, 0x50e98dcf,
+    0xab186b64, 0x7d45cdfa, 0xa8f4ee07, 0xcfd04f7e, 0x864f0a1b, 0x9ebc9df2, 0xdf72f190, 0x13cae86d,
+    0xabf48c98, 0xaf20aac2, 0xec4f0164, 0x1d5d5e2d, 0xcd9c6bba, 0x857f7551, 0xe1259d42, 0xb647780d,
+    0x258cb477, 0x279cc021, 0x647ba39f, 0x8badea86, 0xfe3da96d, 0xd1561913, 0x8db52090, 0x5839ce36,
+    0x080dd45d, 0xd5f4fe90, 0xddfb4c63, 0xbefbb783, 0x5ff0f81a, 0x6a4e9db4, 0xa9f59ec9, 0xd56c6931,
+    0x00000000,
+    0x0d49a783, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000067108864 */
+  { 0x00000000,
+    0x9e865a81, 0x4a233677, 0x0899a020, 0x54eae202, 0x58aa882d, 0x44bda95d, 0x1acf29f0, 0x0ec629e8,
+    0x3d7ec0ce, 0xde03dfe7, 0xd3b411a2, 0x1357691a, 0x29c2d7d9, 0xdaf7f3f1, 0x84805666, 0x4e0483bd,
+    0x844f3d32, 0x6ed32407, 0xf548841a, 0x6f954a68, 0xbbccc83f, 0xb815c74c, 0x43a9a079, 0xceedcdae,
+    0xfc250aa8, 0x97d6f34e, 0xce54a90f, 0xedc0517d, 0xc3b12e14, 0x46821323, 0x1c772ac8, 0xbaad0bad,
+    0xc79a199b, 0xc6487045, 0x4cf0c87a, 0x611312d2, 0x781ed658, 0xe35d7959, 0xa0a500c7, 0xaec7e60f,
+    0x8cafce20, 0x3f1b75be, 0x2a5926c2, 0x26f0f72f, 0x395f8184, 0x319a76b5, 0xe64298de, 0xfe2e8b0e,
+    0x74e0de21, 0x5eccbd84, 0xebd20a47, 0x8b2c5b3c, 0x77e4068d, 0xe8689225, 0xfffa774f, 0xfa1616e9,
+    0xb5613470, 0xe3a41736, 0x942c5452, 0x4d29dca5, 0x0998b750, 0xf4a1f52e, 0x779308c7, 0x34c9e4bf,
+    0x731ccec8, 0x87f3f6f5, 0x955aac6a, 0xcea49279, 0xb2660b01, 0x261b340b, 0x3adb26a1, 0xa0f833a6,
+    0x3b7382b9, 0x3f4be0f3, 0x0c67fdfd, 0x710cad6b, 0x75bcc062, 0x03eee4ea, 0xfdfa79a2, 0x87ae787b,
+    0xb28072ef, 0x31eca04a, 0x00a26f3d, 0x4c48fdc8, 0xfaa3184b, 0x46b9cdf0, 0x51d164bf, 0xba78ec2e,
+    0xc097ad08, 0x011c9926, 0xc9974ed3, 0xefdaa3d5, 0xaecbb80c, 0x76717f9a, 0xf81956da, 0xa85b0f7b,
+    0xa93e9a00, 0xd3d525c8, 0x87488b18, 0x8ade5065, 0x2f946fe9, 0x77edef98, 0x77763d04, 0x3ef88a71,
+    0x70f3f07f, 0xb41df910, 0x9b4811ac, 0x957f7afd, 0x72169aba, 0xed40e611, 0x8c01a8ff, 0x700f0c5c,
+    0xf47ed597, 0xc045a8a0, 0xbff2ff9b, 0xa47ff106, 0x393542a6, 0xfb1bdb42, 0x93da6e34, 0x3f3f98f1,
+    0x26dbcac6, 0x08ce3e57, 0x733150df, 0xaaebaa76, 0xb486d7fc, 0xb95a26f6, 0x7a9b2c12, 0x81732d68,
+    0xe4d4646b, 0x9dc24a4e, 0xfb173ee8, 0xada9f342, 0x60c83f1c, 0xb2caa01a, 0xd3fc4a2b, 0x671dcc0d,
+    0xab470284, 0xbe9a72f0, 0x320b2221, 0x3ca0ab3c, 0x9d30f0dd, 0xa3458908, 0x7aa188be, 0x09f9e681,
+    0x9f8ef4ce, 0xbe4ad682, 0x4b4b73d6, 0x2ec91fbd, 0xe4841deb, 0x7b992d30, 0x02bdd74b, 0xde6d13a3,
+    0x67eed653, 0xaa80ccc8, 0x5aafb196, 0x2ac79c70, 0x25b326e6, 0xe59bcf86, 0x0f91199e, 0xcf392194,
+    0xefd3cffd, 0x7b75cab8, 0xaf370de8, 0x4f5956db, 0x9910a7bd, 0x974d3425, 0xc9417b0d, 0xb54be92b,
+    0x1191d0d9, 0xe6b20f2b, 0x1e223f21, 0x79386969, 0x748cd8a5, 0x4c56564c, 0xd4a1596f, 0x8c737f02,
+    0xd24ed08b, 0x0d368097, 0x6570a947, 0x77253598, 0xcb9f18be, 0x10a8a8d5, 0x2da4abe5, 0xf190512b,
+    0x6ca5b0d2, 0x911997aa, 0xa7dd61ea, 0x9cdcf076, 0xe2482742, 0x9a309174, 0x7921f869, 0xe7e58f12,
+    0xd7ba79e0, 0x6a19a0ce, 0xc6977c9a, 0x9e67265d, 0x07a1df32, 0x797a2347, 0x280c44a9, 0xf151e513,
+    0x3ab77be6, 0x9cfd85f7, 0x5d6e3475, 0x6fad3714, 0x896e8c3e, 0x186a65a7, 0x4a324736, 0x2961eadb,
+    0x7918be61, 0xe182823d, 0x2998adab, 0x44d54ff1, 0x1a672205, 0x4857f19c, 0x56cd27fd, 0x5ae6aa70,
+    0x2f993660, 0x9f2a31ac, 0xc2bed733, 0x393bb822, 0xe0d83655, 0xf585cb64, 0x25de7067, 0x7fa6c008,
+    0x4a395b84, 0x42512f13, 0xec73a53e, 0x9657413c, 0x348924f4, 0x9881ab18, 0xd2244b8e, 0x79676b12,
+    0x1090273b, 0x8f003e3c, 0xf702eeed, 0xc9d4404b, 0x6190093b, 0x771b3b5c, 0x022272ab, 0x2b943713,
+    0xf701c6d6, 0x14c44a73, 0x8b05bf24, 0x5a9e4da0, 0xf3364838, 0xc5d3d3a0, 0x3bf36959, 0x442858bb,
+    0xb06ac345, 0xe369070a, 0x213f3f21, 0xd56e3546, 0x5255ea5a, 0x28701abc, 0x1aff34e4, 0xcdec3ee2,
+    0x23b28bde, 0xfda4fcba, 0xa2f3705a, 0xa7d6a652, 0xabffbc39, 0x10bee71b, 0xaced268b, 0xa0479096,
+    0x3dc922bd, 0x49417298, 0xed5d310f, 0x8e24262b, 0xc98342f2, 0xd80b1b79, 0xeeca4a84, 0x1f43820a,
+    0xfd285c4a, 0x501b1ee9, 0x9cab7761, 0xdbe7061b, 0xeb5156bd, 0xa8fb8f7f, 0xbe430457, 0xf5740467,
+    0x5cf9271a, 0xf330d92f, 0x9d59b51b, 0x2467153f, 0x9e8d9bf0, 0xa6553a01, 0xff989370, 0xab0a220d,
+    0x748f0d23, 0x18f7b032, 0x3ea03923, 0xb6ac511a, 0x183e32cb, 0xa299ac50, 0xe1990c10, 0x605b0976,
+    0x86babfcc, 0x56aba535, 0x847f4860, 0x7f7095f0, 0xbbe8c4e9, 0xdc87da8f, 0x9a070881, 0x3a9195b1,
+    0xea62ae50, 0x793b80c2, 0xb28700e1, 0x7d0f81f9, 0xf1c3b017, 0x15117b2f, 0x70c34f8b, 0xa32fb4b1,
+    0x65b50b68, 0x01662223, 0xe56c8f0e, 0xdfc4f240, 0xdb6d364f, 0x0d94775e, 0xc09b8ace, 0x321bd9dc,
+    0x92f60c3a, 0x21298426, 0x5e0234bb, 0x26f0eaaa, 0x18c519bf, 0xa38133ee, 0x5259a7d3, 0xbb0e945f,
+    0x6bd0d7ec, 0x2649114a, 0x39bcfa2f, 0x7fd82978, 0xf64d3bbe, 0x3dfd7f21, 0xd3ef8157, 0x1d9898c8,
+    0x0d5658fe, 0x9370198d, 0xd2a2307b, 0xd58e7a2a, 0xdab7b63f, 0x00b3cd98, 0x2ba03f4e, 0x31886dd7,
+    0xaf8a2518, 0x3cfe9802, 0x79184f35, 0x60137a58, 0x91ec0c4f, 0x261756e3, 0xb15747eb, 0x60a6713f,
+    0x99fb1523, 0x8adc9eb4, 0x0083ce07, 0xb3e21ac7, 0x60da540f, 0x96b203b9, 0x65064d00, 0x9e519b64,
+    0x869eed54, 0x836f979f, 0x5f702d56, 0x7a33c83d, 0x1ba8966c, 0x93fafaa9, 0xaebe997f, 0x0135888e,
+    0x465bba42, 0xd8e12f51, 0xd2a15081, 0xbba1828d, 0x0631d0ca, 0x6f5eb4e8, 0x4ef627f5, 0x289d3e4a,
+    0x1d747644, 0x5e5467fb, 0xf053cefb, 0xb8ba1d29, 0x29a58e09, 0x3a65253a, 0xeaa5b957, 0x2c839452,
+    0xbc0f1149, 0x69461e8d, 0x5ff27944, 0x231ea37a, 0x3702bbd7, 0x63cc6278, 0x6676da45, 0xbe84498d,
+    0x4956662b, 0xb2c2f26f, 0x8a38b0fe, 0xf4db9d86, 0xfa375408, 0xca7e7c1b, 0x98bca2f5, 0x8f72db57,
+    0x57e23461, 0x7f0937c7, 0x6ee40d6b, 0x3321288e, 0x6345ec1e, 0x51302345, 0x428b7b2a, 0x7e061ce2,
+    0xe838cfc7, 0xedefc35d, 0xbb5a2e21, 0x30c886ef, 0x581753e9, 0x546c9556, 0x3e3ba746, 0xb3849734,
+    0xf545af0f, 0x164b3280, 0x908b1a16, 0x5bbf3bf9, 0x12116669, 0x2e3a3b63, 0xdaa643ae, 0x5f878f8d,
+    0x0acc4943, 0x06ecaad7, 0x82888f08, 0x6767c2d5, 0x4ae84a9d, 0xe9e44ce1, 0x388a6fca, 0xa51cca78,
+    0x316d653a, 0x712930d4, 0xfcf8d6cf, 0xf15a15cb, 0x15044885, 0x840ce8ee, 0xe8297a24, 0x49d9f888,
+    0xbe913477, 0x2460a05e, 0xe672c0cb, 0xc7aa4c00, 0x0ab4368e, 0x4b6b08e6, 0x26eb21ab, 0x280e84fb,
+    0xe49fa82e, 0x1e1745d6, 0x47bdb436, 0x7a85318f, 0xe83234cb, 0xf6480bd1, 0xa80ebc43, 0xd276d955,
+    0x52d3c373, 0x8a39466a, 0xf677b89b, 0x4a4f07c9, 0xfc0bbde5, 0x8b90ef1f, 0x2688b2c7, 0xb1b3d419,
+    0xc0931369, 0xb84660e5, 0x852de237, 0x057ad97b, 0xdfea1969, 0x636acd65, 0x000bc648, 0x396ebf94,
+    0xadb5771c, 0x4fca8272, 0x4ecb9f65, 0x4d0cb02b, 0x98aebcf8, 0x88d24bae, 0x5dd47035, 0xdb0c80cd,
+    0x334691df, 0x653ba4eb, 0xee7444f9, 0x76b4f25d, 0xf1251010, 0xcfa70abd, 0xdcd857f6, 0x6471a0f4,
+    0x2c51b8c6, 0xf2da5276, 0x6cbd728b, 0x1018577a, 0x98cd8d18, 0xec7c5a26, 0xbae89009, 0x845b6968,
+    0x421aba64, 0x86a0fdbc, 0xe6932733, 0xc5e70a1f, 0x3010e5cb, 0x62bca2b3, 0x39ea9c93, 0x4c81e8da,
+    0xb98c59a9, 0xcb4511ce, 0x10168762, 0x43f62238, 0x8ecc3eeb, 0x9445a148, 0x7b237262, 0xae36e768,
+    0x86ea840e, 0x9f3e1e90, 0xa66b00b2, 0x13eebdda, 0x18c79a98, 0xfe8b8ddc, 0x23b94235, 0xd002f54c,
+    0xa7f27ff1, 0x5316c826, 0xdf067eba, 0x4b7ce5ed, 0x05edb5d4, 0x4e918e18, 0x2c188cf8, 0xe283713f,
+    0xca49969b, 0x10ebf7ce, 0x4022a132, 0x83c95e7a, 0xe2612b4e, 0xd4345dcf, 0x4b94cf04, 0x538e5abd,
+    0xb14c1307, 0xc05efd62, 0x09944485, 0x04c67d4b, 0xf5a5a6cd, 0x48adb991, 0x5df8c737, 0x6740ef85,
+    0x0eeb5cfc, 0x68c16545, 0xd7fe1ebe, 0x09532b5c, 0xcfb12ef7, 0x6970a8eb, 0x776dc129, 0xd9823127,
+    0x4987cafc, 0x199c7065, 0xaed95b17, 0x8095286e, 0x15f343c0, 0x57ac5fe1, 0xdabe5998, 0x623cc171,
+    0xd3bb4268, 0xe0eb317d, 0x31151cd5, 0x73d36a08, 0x308e35bb, 0x8833bb33, 0x2eba449e, 0x090a4d01,
+    0xc64a0558, 0x3ccc41f5, 0xb3889ed7, 0x2994e21b, 0x35a755b9, 0x3bf6bf7a, 0xc3e9691a, 0x72e0db6e,
+    0x9e1af557, 0x78675637, 0xff4ddc79, 0x0704c953, 0x954bc07a, 0x6f51caf3, 0x4e11c300, 0x9d98d646,
+    0x0d1c4fd2, 0xce4c71f1, 0x00322971, 0x4a8a9dfa, 0x6c7bed53, 0xec9cf617, 0x920cba96, 0xe77c6b86,
+    0x83c9b1cf, 0x2bb3b9e0, 0x919c5894, 0x4303b44a, 0xd6b17165, 0x4978c4b5, 0x8319a896, 0xc5e461c4,
+    0xaa12a151, 0xfaa29b49, 0x070a4ea2, 0x47eb9ba9, 0x322c6ca6, 0x2dd0cb51, 0x19e478e0, 0x01626bb0,
+    0xd0b925ab, 0xf7713f26, 0x009deaa5, 0x67ef2fad, 0x239d67fd, 0x9d8e9847, 0x6db2236b, 0xdadff3ef,
+    0x72d33619, 0x85a48aab, 0xad62a62b, 0x47d18d58, 0xe4838afd, 0x61e7521a, 0x88e71f78, 0x7cb7eec7,
+    0x8805dbc9, 0xaba52363, 0x537ef1b6, 0x5ebf55b8, 0x209342a3, 0xd150d92a, 0xedc23dba, 0xdfb25aed,
+    0x704d31cb, 0xdd74941a, 0x63fc58dc, 0xb6be067e, 0xdb690498, 0xc7fe0388, 0x74c79e43, 0x28a39f3c,
+    0xb5f7032a, 0x0b3ff2cd, 0x33c4340c, 0x42f24030, 0x335aa629, 0xd3c6f20e, 0x20f21ae2, 0xcf841fa9,
+    0xeeba6266, 0x4520784e, 0xa801d4b7, 0xfb6df716, 0x2df31cc0, 0xeae50af6, 0x908e1fb0, 0x4c6a1c82,
+    0x016572e3, 0x5bdcb3ad, 0xd15adb49, 0xfffcf9d1, 0x5b53a8ee, 0x0e2633fc, 0x584b9ec9, 0x42ee82f5,
+    0x7fc4afa7, 0xe09369ef, 0x26f12291, 0x3eb24dee, 0xe0256a1d, 0x655d52e6, 0xd9fd5534, 0xdf89df38,
+    0x5228c0fb, 0x30ad4983, 0x1f822992, 0xaedd5bdd, 0xc03e40ee, 0x7316ebd2, 0x22f5494d, 0x41d9c375,
+    0xb8caca5f, 0x557e0424, 0x1effc4fb, 0x6f5acaff, 0x6da19fb0, 0xacd8787b, 0xfea5eda9, 0xd30fac49,
+    0xbce2cb7f, 0x43047224, 0xd05b5f0d, 0x310ad7cf, 0x1e2897da, 0x6514ade1, 0xd36a23ba, 0x39279621,
+    0x41e4c37c, 0x96ae685a, 0xa4d6aeba, 0x7298b5d6, 0x840a596a, 0x46a1d391, 0x93909008, 0x384ef7ae,
+    0xec6ab957, 0xdedf30f7, 0x29619f8a, 0x9c400551, 0xaeb4a1e7, 0xba25637e, 0xdb3d2fd1, 0xcf2ec718,
+    0x5d32d32f, 0xd8f8c13c, 0x25c0d0e3, 0xbfcce6dc, 0x2a123728, 0xcd4ca058, 0x8deda62e, 0x9400dc12,
+    0x74c8e5e1, 0x38e4a77d, 0xb5c3cd66, 0xc98a2408, 0x1f7a5f9b, 0xf8a4c43b, 0x0337414d, 0x8c970d9c,
+    0x72c5f9d3, 0xdeb3ac68, 0xf5cfb20f, 0x254ea9fa, 0x34719e92, 0x06441c8f, 0x8cdb68e5, 0x71c87155,
+    0x12f02b3c, 0x6e0303bd, 0x28e3fcdb, 0xb529d91b, 0x27c6c1e1, 0x794b37e8, 0x655bb319, 0x8d915e71,
+    0x0491e035, 0x75c868fc, 0x95410158, 0x6c9bb244, 0x1f6caaba, 0x5e95891f, 0xc8be87dd, 0x302901a0,
+    0x4d0508b9, 0xef1497ed, 0x43d367f4, 0xc9a790e8, 0xf4894107, 0x1453f8a9, 0x4037fe29, 0x94aa48ec,
+    0x567a32f5, 0xde0a93bb, 0x481286e0, 0xef9054cf, 0x5d093e94, 0x4a2ac1a9, 0xa925b9da, 0x0539c2f5,
+    0x70be4dac, 0x55e8539b, 0x375339fd, 0x6b4ccc8c, 0xe5213f84, 0x4c26a7f6, 0x9cba38a6, 0x9bae0de6,
+    0xa7af7749, 0x75f05349, 0x341ab6b5, 0x8cde93f0, 0x0dec44cb, 0x46da6bf9, 0x3c099364, 0xd33a9f03,
+    0x2202f75a, 0x5019a30c, 0x018704b7, 0x8f32fdb2, 0xa83e5270, 0x0f7c8421, 0x69a0c52d, 0x5acb71c4,
+    0x26075b1c, 0x4bd88979, 0x07d60fd4, 0xb350d51e, 0x93a1ffc5, 0xafc70cf6, 0xb8231860, 0xc57547ea,
+    0x1bf83e58, 0xf2d120af, 0x8a79c674, 0x71273704, 0xad89df2a, 0xe00dbbc6, 0xadfbd1c7, 0x7d05e69f,
+    0xca09548e, 0xcbfbf573, 0x5e2b6b3b, 0x00543386, 0xdd6fce18, 0x3513f9dc, 0xdaa7d105, 0xbb6e6a93,
+    0xf2cb4332, 0xbb0335fd, 0xabec3bca, 0xcda4723d, 0x00a83ace, 0x1c368b08, 0x3a8807ac, 0xec41a6cd,
+    0x198b1ccc, 0x99ea7dd6, 0x8729d20f, 0xd75d3aa7, 0x7b7e9616, 0x49c4d169, 0xa1623d71, 0xdd251931,
+    0x4e28310e, 0x1e133201, 0x3afa1162, 0xa7dde1c9, 0x6aca677d, 0xe75a5285, 0xe1832be9, 0xc8e04dd6,
+    0xdf7be405, 0xee706de0, 0x9070a423, 0xc879ed60, 0x61e378e6, 0xe1963e26, 0xef062bf0, 0x66f86558,
+    0x8bcd98ee, 0x2b4e92bd, 0x84851ffc, 0x83aff941, 0x5662e1fe, 0x476563c6, 0xa0dc0d72, 0xe6999cbd,
+    0x74789862, 0x00390c08, 0x17305a03, 0x548ac20d, 0x19532475, 0x139aa4d0, 0x1d259e9b, 0xc02fe8ba,
+    0x508edc13, 0x088f08d1, 0xd968c905, 0x450be1c1, 0xcc88b8fb, 0x24f8c85d, 0xf7f0b7a9, 0xdb90aea2,
+    0xdeb12531, 0x41b96282, 0xe99cd50f, 0x8246502d, 0x25e17e18, 0x12307a20, 0x87ece3fc, 0xb90ba9b2,
+    0xb536aa5b, 0xddb76175, 0x6bc38045, 0xf4965f47, 0x680286e7, 0xcbf71083, 0x087db30a, 0x9aac8b6c,
+    0x73c722f5, 0x209af9a4, 0x4ec1ca2e, 0x89b901d4, 0xef38e35e, 0x8c8cbb61, 0x5d9703b3, 0x5d9ce4de,
+    0x59e3bb49, 0x7c908efa, 0xad014013, 0xbbb6ffc7, 0x6231d7f5, 0x3522fca2, 0x73c001a5, 0x304df0f1,
+    0xded3cd69, 0x57b89707, 0x050e3293, 0x9a24ce30, 0xfbd77d69, 0xb686572d, 0x3333d4a1, 0xbfe9e0be,
+    0x68968e95, 0x6245c6a3, 0x3806b2dd, 0x2f92f6ac, 0x44b1ec89, 0xdb9b7d27, 0x6898a308, 0x059f08f5,
+    0x1d7873eb, 0x638ba83e, 0xa98a6e1f, 0xa42d7244, 0x607d9a1f, 0xfe0b83ea, 0xa5a79d2a, 0xadd7fac8,
+    0xecfbea01, 0x29048151, 0x93c96a57, 0x589d18e8, 0x7e78c5e9, 0x1854361c, 0xa27fe3fa, 0x8cb29f2d,
+    0x2119a48e, 0x7cea2ed6, 0x4842e723, 0xff088c5b, 0xe6bbded9, 0x19d2403e, 0xab5690c8, 0xd7b55528,
+    0xfef90bfa, 0x5eb04b9e, 0xbb00c11b, 0x6be21c37, 0xa22776de, 0xe85e6ba7, 0x6b93ac5b, 0x391872cd,
+    0x6cbb2087, 0x01741ebd, 0xe428f0fc, 0xfe98048c, 0xbf5ae2f8, 0x094612bc, 0xc4b18517, 0x3748fdce,
+    0x34f3967b, 0xed62b995, 0x2017744c, 0x985e48f8, 0x7ed4cec5, 0x85eaa9c4, 0xb70f1864, 0x0d96193e,
+    0x1601acd2, 0xf2abf7f3, 0x84d2ac10, 0x67aea64c, 0x12dd333b, 0x86729e4e, 0x262e7d45, 0xf1e1db55,
+    0x364daacd, 0x7a155fb8, 0x835b64f9, 0x52334b28, 0x07e32825, 0x63717b05, 0xe5bf5ee7, 0x17740af3,
+    0xc7bfef78, 0xf72d702d, 0xa7b4330f, 0x02524556, 0x445f265e, 0x01807898, 0xf1d4ff54, 0x9de9c078,
+    0xa72b6da7, 0xba7ef850, 0x5a42624e, 0x804f9e0c, 0x06a7306c, 0x1da16fe5, 0x14bb34f6, 0xd2ecae65,
+    0x3a96818b, 0xc422ed86, 0x6a2fe470, 0x0099d93c, 0xd8115a6a, 0xf5cbd79d, 0x3ab27119, 0xa5483e39,
+    0x00000000,
+    0x06a4d3c1, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000033554432 */
+  { 0x00000000,
+    0x3659f22f, 0x5341aa4a, 0xf398dfff, 0x2d836162, 0xd8529cda, 0xafcef3ac, 0xc704b58c, 0xf06aff40,
+    0x871d1c0f, 0x0491fcd3, 0x983ceb0c, 0xc921e692, 0x124360cc, 0xe77c9178, 0x7b36c711, 0x18fed419,
+    0xa9f6ce82, 0x3bfa445d, 0x985fb567, 0x8ab89aa0, 0x7f1ce1fd, 0xa1faa569, 0xe47c078a, 0xe0f8abce,
+    0x3e51881e, 0x69ef5ba5, 0x169ea3d0, 0x511db0be, 0xfb45abf0, 0x889c191b, 0x9f5ea59b, 0x29ed40bb,
+    0x27dcf9a3, 0x8a75cf2a, 0x72bc422c, 0xb18c2d92, 0x6848ccf0, 0x318b41a0, 0xab49fe95, 0x2f85d0e0,
+    0x82270000, 0x08194d40, 0xeee5b34d, 0x22aedf88, 0xfd6464a9, 0x388cc9bb, 0x03fc901f, 0xc989efd2,
+    0x42bf423c, 0xdd3e8fbd, 0x552dc7d3, 0xfcecbe48, 0xab51b6dc, 0x35fe0894, 0x1e7f7520, 0xe6ea922e,
+    0x15b6b6a7, 0x3739ecb2, 0xda43b7e5, 0xd28ade04, 0x06ef8386, 0xee473f2c, 0x7c39efe9, 0x2896f42f,
+    0xc38ae56c, 0x06d2f958, 0xc35c73c4, 0xeee95ac4, 0x6b8fd7c2, 0xf3e6f4be, 0x42b1c84a, 0x2f8d2940,
+    0xebc1ea97, 0x5524db4d, 0xff0a4b59, 0x325087e2, 0x56dc546d, 0x1258f78b, 0xae7711f0, 0xbaebe460,
+    0x075749c5, 0x97fe0427, 0x7918951e, 0xaf63025f, 0x5fb5ae54, 0xcda6ad0e, 0xa3ff8303, 0xe3b25b14,
+    0x4f92b5d3, 0x3df5baa1, 0x28deedd6, 0x7eddb31a, 0x2623ddfd, 0x0a6c5a79, 0xdfeeda83, 0x47293f0d,
+    0x7f067e64, 0xa2261e6f, 0xbaf209e3, 0x51a11a26, 0xe9fd7f31, 0x472564b5, 0xf5527352, 0xf657569d,
+    0xcfbb403c, 0x976e21ce, 0x3db1b365, 0xb1a38550, 0xa020ed97, 0x218b3356, 0xf806d4f5, 0x61407ff7,
+    0x59aaa4ea, 0x18d1ef02, 0x0805aad8, 0x2ddc2c28, 0x04abc2a4, 0xc9d0c2f2, 0x03a062f5, 0x24227815,
+    0xb2b63e5e, 0xd8e79e6b, 0x28c49d76, 0x30664361, 0x8513523d, 0x58f03334, 0x1baa1a76, 0x93ad9a86,
+    0xafc6b59c, 0x267c4f4e, 0x99a1794b, 0xfbe1ca49, 0x5b1d003c, 0xd2ac9120, 0x7900182a, 0x70f6b920,
+    0x260ff050, 0xcfb70f62, 0xc2156792, 0xb908966e, 0x94d2d5d5, 0xa0064f2a, 0x252cda4e, 0xa2286a78,
+    0x2350535b, 0x4d43f834, 0xe6f1feae, 0xedeee99b, 0x97977bfc, 0xbb466d80, 0x9ffc540e, 0x9f1e5794,
+    0x124d918c, 0x011be64d, 0xb6b3a95a, 0xf4c1aaaf, 0x980a8a2e, 0x537c6c38, 0x4f170541, 0x0624cfbb,
+    0x026d13f2, 0x98c8aa6a, 0x12faf629, 0x5d32969f, 0x5ddaf0da, 0xb1d4bd77, 0xdbdd1a47, 0xa39cd3c3,
+    0xbb6b0da2, 0x78b139b8, 0xa2cf9565, 0x5b7136dc, 0xd65b4732, 0x3a33b0af, 0x794578e1, 0xe2a520e0,
+    0x293911db, 0x43eb3f66, 0x876ccf45, 0xb07f9507, 0x0f13febc, 0xf2771419, 0x95f77017, 0x666c04a5,
+    0x526b4c76, 0xdb42d46f, 0x60d2c656, 0x227fe3f1, 0xaf75397c, 0xaebd782f, 0xd1e25593, 0xd7b6be33,
+    0x6a1093fb, 0x6e4ccfa3, 0x6942fb80, 0xd8d5b881, 0x91b04241, 0xfc91a2cb, 0x32dcbba2, 0xccf5cb5c,
+    0x9895abf7, 0xa4ae5690, 0x80017770, 0x1296d469, 0x96a1f1b0, 0xe8ce5a41, 0x57255d5a, 0x2358e91c,
+    0x38649adb, 0x93072131, 0x2718143e, 0x369fd4cb, 0x393223d4, 0x082c0607, 0xcda65c79, 0x2a6a0495,
+    0x8bdb686c, 0x60283d5e, 0xf660825d, 0xd655d86e, 0x47634f6c, 0xf10137a4, 0xfcaa8a1e, 0xd5bdca68,
+    0xf3a173c2, 0xdca96528, 0x4ed85457, 0x2353283a, 0x189a220a, 0xff496d9a, 0x5bb19b23, 0x6686ce8b,
+    0x48017df6, 0x197e9184, 0x037301a2, 0x8684b171, 0xfa73b2db, 0x3196ded0, 0x9349e1dc, 0xf828cf8d,
+    0xe1c24e36, 0xb6a8e43d, 0x38b79e25, 0xfb590044, 0xf3afead6, 0x628e3257, 0xcfd72521, 0xacb531bf,
+    0x3f079540, 0x4ba598c4, 0x0495a859, 0x716ca87f, 0xd73bdf69, 0x4f38890f, 0x64a185b2, 0xf0609f03,
+    0x3d5f61c9, 0x372eb868, 0x6e458eca, 0x214452d5, 0xeda08fae, 0x0c3552bd, 0xc3a006c7, 0xf3f9c2be,
+    0xce172141, 0xb09aab19, 0x1b8a9352, 0x4911db19, 0x4cb80107, 0x60dc3664, 0x8527f803, 0xd90bd96d,
+    0x16adef82, 0x03364e30, 0xfe13fe22, 0x697517d2, 0x17cba5fb, 0xeab604c2, 0xd6e1c563, 0xd29e836e,
+    0xbb54077f, 0xe8992136, 0x098f6d56, 0x8e1719d6, 0x893477a7, 0xdea0499e, 0xde23115d, 0x973bcb1e,
+    0xd195d865, 0x6cb74929, 0xfed87b5f, 0x41ce0ce6, 0xbb7b85a1, 0xe4455e57, 0xfaf5a075, 0x08572a4d,
+    0xd0918f5f, 0x065c473f, 0xb5ad5cfe, 0x63ec4d6d, 0x0c6a7dc0, 0xf20612e5, 0x5422ba1d, 0x5095535e,
+    0x8685722f, 0x77993779, 0x2192ee9b, 0x0dfb909e, 0xa15a2c9f, 0x5efc5906, 0x4a11ef34, 0x8ef77a6d,
+    0x05e702be, 0x9eebd93a, 0x9e9067ca, 0x94dcf9ac, 0x81862063, 0x55f693b2, 0x9c8efccc, 0xa20770d1,
+    0x0a58b93e, 0xbaf0f9da, 0x5ee6c627, 0x4913c3ad, 0x79d376ba, 0x33671768, 0xe422a64d, 0xbafcd6b2,
+    0xf2d6d79a, 0xddeab3bc, 0x111d31dd, 0x40b8b9cb, 0x7f827890, 0xb93b9b90, 0xffd7a8da, 0xcbfb8b0e,
+    0xd7a2f74b, 0x67af6445, 0xc2ee95c4, 0x52eb544a, 0x9ea55d3e, 0x8702896d, 0x034c6c22, 0x9108358e,
+    0x0341fedf, 0xe2995e80, 0xba6da460, 0xd2c2d71d, 0x2a977a52, 0x31741115, 0x64f803d8, 0x2eb8b18e,
+    0x9a4bd3b3, 0x0f2f8064, 0x09e1fbc8, 0x1ed8c3ea, 0x9a0a8629, 0xdfbe7663, 0x7036cb54, 0xa95226da,
+    0x2e6c189e, 0xc5382762, 0xac2f43c0, 0x9d6700e1, 0xd8f4b8c1, 0x084b6a39, 0x0e981db9, 0x02cf06e8,
+    0x3b31b424, 0xb3d0ed15, 0x283a310a, 0x4c35d7dc, 0x22cdc8c8, 0xada25b97, 0x499094be, 0xae0293e5,
+    0xbceb149e, 0x0ebfe202, 0xa61331e4, 0xbd2266ec, 0x7afa6210, 0x7065c654, 0xa8a55ca9, 0xb8d8379b,
+    0x6a07841b, 0xf9b87673, 0xce11eeaf, 0xdf2814e4, 0x416734ec, 0x424d199f, 0x63b0db8d, 0xb3fc2499,
+    0x16b6fee4, 0x93bd03b1, 0xa8d9d546, 0xa213f9a6, 0xf3b6b6ce, 0x7ed986e4, 0x539546a7, 0x71d697ea,
+    0xc10e5daa, 0x31a4d7f6, 0xe0cc12b1, 0x9ef5e396, 0x20065664, 0x1960fe87, 0xf988643b, 0x078fdeaa,
+    0xc762e12f, 0x4c7a4ace, 0xb76edbc2, 0x4a94526d, 0x59791786, 0x02395f32, 0x80413611, 0x99d0a614,
+    0xdbb60f27, 0xeeaa8a8b, 0xf0247a48, 0x9e0e86e1, 0x834d20b1, 0xf2cabaab, 0xe614ba04, 0x6ac5d337,
+    0x4875445e, 0x759e70f3, 0xd49bdab5, 0x40d2fc29, 0x87ae81c6, 0x56e36735, 0x6a862adb, 0x5603e7eb,
+    0x636199cb, 0xfaed7b90, 0xb795d55a, 0x7daeb304, 0x65c9e369, 0xab347f99, 0x5e21fc29, 0x6a74890c,
+    0x03cc425f, 0x2b3178f7, 0x42e6325b, 0x92aa8856, 0x370a1d2f, 0xfdfcc548, 0xddbec0e0, 0x9b2a5b8c,
+    0xb256509a, 0x59795ba4, 0xfb824683, 0x8bf4970c, 0xf58a4577, 0x127cab3f, 0xa5b0d694, 0x3632eb1b,
+    0x8db545a5, 0x4a55db68, 0x5c06c183, 0x2945b2c0, 0x2c6e3dae, 0x4bca5a07, 0xc42723eb, 0x87fd2ab4,
+    0x8d74e1e9, 0x34ef6717, 0x5021bb70, 0x9e5b7945, 0x0ed217f8, 0x41b9e15f, 0xf56a75eb, 0x0eb90f65,
+    0x2d77a56c, 0x11946f76, 0x41468f06, 0x7c6862d8, 0xf7a71147, 0xa47a8b18, 0xf550a04d, 0x65308a1f,
+    0xac5c2480, 0x160d70cc, 0xe4ada403, 0xb94f7eab, 0xbb26e5f9, 0xa74b9008, 0x98bc7b46, 0x51d8e557,
+    0x3e801cc0, 0x67a9e6ee, 0x9321a326, 0xd79ab445, 0xe726fe20, 0xc58befa8, 0xbe4e8b93, 0xdf88d344,
+    0x574ff981, 0x9b7b8f6b, 0xb60a2f52, 0x57bdb169, 0x3902584b, 0x78155a57, 0xbfbb7be8, 0x6d140a82,
+    0x6414ddd9, 0xefb95d21, 0x55038873, 0x2d239946, 0x6bb75f0a, 0x6368e828, 0xfe2b3c00, 0x2a2c24af,
+    0x324193c3, 0x4abf1ce3, 0x95b65a4d, 0xef96a8d7, 0xc816c295, 0x864c1126, 0xf947986a, 0x583b9f4e,
+    0x1be00e37, 0x9bbe9737, 0x160fac0e, 0x694cc551, 0xa9e68d84, 0x7490b152, 0xfe715698, 0x53fea59a,
+    0x252065f5, 0xe825d771, 0x4ee62144, 0x4e5d370d, 0xf4fd13fc, 0x1ef5cca0, 0x0927bb4f, 0x4e56e400,
+    0x4f307ffd, 0x23a82966, 0xf6f71d97, 0x7371a429, 0x571c1c16, 0x979ce4ea, 0xc107810f, 0xd76b941a,
+    0xe78987a0, 0xbef8cd2f, 0x7666c769, 0xda2c0c01, 0x2b98199d, 0x6aa04379, 0x3d383c2c, 0x94062cb8,
+    0xe6361505, 0xdb846d2d, 0x0ad5da26, 0xef10fd43, 0xe280e626, 0x45a52c45, 0xc03d7e45, 0x28c8864d,
+    0xe4708bfb, 0xc1601774, 0x1cea3cba, 0x85d657b8, 0x19eb10ef, 0x5a1c2f04, 0x129f12b8, 0x362ff008,
+    0x119cec7c, 0xcb4e194d, 0xa6900b48, 0x83a2eb03, 0x4f229488, 0x540af9f3, 0x978d5f9d, 0x913573f8,
+    0xec9a73f7, 0x3910f1a3, 0x5f5fab89, 0x4c971e39, 0x9286d9a4, 0x19697452, 0x9ae26d65, 0xa2bf62f5,
+    0xf2127622, 0xbd249b53, 0x681bfbc4, 0xcf7b385b, 0x6142696b, 0x59c7c1a3, 0xc0100d85, 0x6b2f627b,
+    0x3e3ecc7d, 0x5001f414, 0x1ab8460e, 0xafa0783b, 0x0722617a, 0x1406a2f5, 0x6f557dfe, 0x673cc3ac,
+    0x252a992e, 0xcb905181, 0x99db3822, 0xd28e57d3, 0x8f42316b, 0xa331dc9d, 0xfac1cbe0, 0x77ff290e,
+    0xc5fb1d29, 0xf83dc81f, 0xf9e8c39f, 0xd35b88fc, 0x10d7c441, 0x094eb969, 0xb774240b, 0x8c0b5f26,
+    0xec51b116, 0x206531d1, 0x10409651, 0xb8e4df67, 0xb7930707, 0x13d16c8c, 0x14dd5002, 0xa35f3e99,
+    0xdda730e2, 0x9a0fa753, 0xd64fd738, 0x0ee6c2c1, 0x242adb1a, 0xaabd82b3, 0xfbcad86b, 0x20100121,
+    0x0ef3e6d1, 0xdfb3fa3b, 0xac550ccd, 0xb5c0fb25, 0x26a77e86, 0x6f6549fa, 0xcd3805ee, 0x6adaee60,
+    0xa25edd99, 0xb86135d4, 0xb07ab2b9, 0xf55c4435, 0xaabb28d2, 0x47c18ae8, 0x38d02566, 0x4d6d7585,
+    0x0e07bb3f, 0xda1f95b7, 0xc105d082, 0xf068f093, 0x1c176ab9, 0xab7db62e, 0x5a535425, 0xed8ad23b,
+    0x72e51ae3, 0xc2b35526, 0xc63f5497, 0xd0bbe22e, 0xbb198d77, 0xa5b82383, 0x89bfbe5f, 0x3c29c2c2,
+    0x1810c173, 0x7448729f, 0x662bd79e, 0x2fe64909, 0x6666bf8b, 0x2b4795d8, 0x6eee0185, 0xabfaa179,
+    0xe5bc9dbc, 0xcd352dc1, 0x1b2cd2cf, 0x4523f9df, 0xd3d1be43, 0x4c34f125, 0xfd893107, 0xddea03dd,
+    0x505340cf, 0xc72fb91a, 0x089f8f68, 0xeaf5797b, 0x57169149, 0xf746e822, 0xdee87326, 0xe58c898e,
+    0x8922e3ae, 0x34a4d82b, 0x6f7c3921, 0x1bf42d02, 0x2bb1ccf0, 0xcc58b722, 0x6f7d9cd5, 0xa1311684,
+    0xf6df861d, 0x42172720, 0xacab41e8, 0x256f46f8, 0xb0e537e9, 0x1919b5b9, 0x6fafe728, 0x67783222,
+    0xc18e718b, 0xd6af2214, 0x6b3ab30d, 0xa8f393e8, 0xcd60f8be, 0x2f5e6ec8, 0x5053c191, 0xba53fee0,
+    0x5227a84d, 0xf9983519, 0x2b51c040, 0x3dc74fa8, 0xc39174f6, 0xa98f6675, 0xe9c58770, 0x973b32b3,
+    0x2b7e4102, 0x7dd82291, 0x2ef3762d, 0x08d5e14a, 0xc5c637cc, 0x0d039796, 0xf7ac1427, 0x8cd90b9d,
+    0x54d96c6c, 0x1c34dd22, 0x26f9d071, 0xdac3779d, 0xdd4ad789, 0x5ff6c829, 0x2b3770b9, 0x5e67bc36,
+    0x934b83f2, 0x093304dc, 0xeae94d7b, 0xc8d57258, 0x5e4c90ee, 0x75534508, 0xf1163381, 0xa1b1fcff,
+    0xab9548ba, 0x567268ee, 0x2c01c3fe, 0x0b07fe97, 0x4c527c84, 0xb2f33a7d, 0xd7b6ac42, 0x01ca0808,
+    0xe6645bf5, 0x153225d7, 0x12349ed3, 0xb00844b9, 0x9d95d239, 0x0652a3ac, 0x40e685eb, 0x2902e2fb,
+    0x3ec35c72, 0x3f06faf3, 0x8d137a3e, 0xff631dd6, 0x813e32b9, 0x661d3822, 0xff3ebdb8, 0x6912b08f,
+    0x96805fce, 0x45272f88, 0x195778f0, 0x3d305a53, 0x043f8c73, 0x5a322406, 0x1c5f2d85, 0xf645af72,
+    0x3a3dedc0, 0x3e17019f, 0x5ac1b6c8, 0x377f43a3, 0xb818be6f, 0x08f8c1ec, 0x1e266439, 0xfd7fb9a1,
+    0xd56702e3, 0x9919bfe5, 0x63372f33, 0xde4d1bc6, 0xb4823e19, 0x41022507, 0xb36a2594, 0x860da0b7,
+    0xe2d469f8, 0x0524fccf, 0xf91e31b4, 0x1e0f9b6c, 0x2cc2d7a6, 0x9b1ba302, 0x0067f308, 0x56211239,
+    0x09e2e99e, 0x822a5b41, 0x2c4366da, 0x9ca6bf24, 0xc3ee1386, 0xb85cd374, 0xb5a3fd28, 0x32063481,
+    0x5c2e4c53, 0x453e991c, 0x8c80ec06, 0x9f370e70, 0xf8cf9998, 0x45a85248, 0x72aa1040, 0x3cb053aa,
+    0x3c0d5642, 0xc30e236d, 0xda3014a8, 0xd90d4ee1, 0xb845dfe2, 0x9c083960, 0x1af834e4, 0x0e78327f,
+    0x1c8126e4, 0x9b0a312b, 0xb9562a37, 0x8efcefba, 0x120738df, 0x80dc8330, 0xcb9c3652, 0xb9b45f1c,
+    0xb54bc790, 0xfb815392, 0x937ded6d, 0x1431c6c2, 0xf20d8247, 0xf23a50fd, 0xd24682c7, 0x229ee679,
+    0xf90902d5, 0xef02de0b, 0xfeca1565, 0xba0d04b8, 0xbd101078, 0x7a4d4f27, 0x876d6698, 0x442595eb,
+    0x2506addb, 0x4a4119f9, 0x2b696007, 0x0a359d48, 0x6baa2d0d, 0xc1dab247, 0xfd952e75, 0x9275e058,
+    0x32591711, 0xb8396ce7, 0x8a1119b5, 0xe47c94ed, 0x604b47ce, 0x385863f2, 0x149de820, 0xefc1a05f,
+    0x901d35ba, 0x25f79ffa, 0x3e22d010, 0xcb68e845, 0xeabfa317, 0xcc0e919c, 0xe498ea9a, 0xad2893d9,
+    0xbfa429e3, 0x753fcfae, 0xe4bca732, 0xb66b2b59, 0x587dcfae, 0xa9dcdaee, 0x828e1cc1, 0x7ffcd69d,
+    0xcc5fae7a, 0x5bf7fe34, 0x80dd1ecf, 0x3ec5599e, 0xecf8cd1a, 0x0e0e16b2, 0x607b3ba1, 0x387d71f1,
+    0x6f85d754, 0x4e09e03d, 0xa2eb287b, 0x089d3cd2, 0x7215a508, 0x3cadedb5, 0x39e43cb9, 0x94e10bab,
+    0x97ddc406, 0xf765d73d, 0xa2861e93, 0x740831e6, 0x5894654f, 0x71bff2e5, 0x0c631578, 0xfe1b2e9e,
+    0x56341ea1, 0xef5d04ab, 0x1f8a5006, 0xc48bb9af, 0x226b1dfd, 0x75a6533b, 0x2a8b061a, 0x3e1cafe3,
+    0x3c5c1495, 0xb029b41c, 0xdfbbf45a, 0xdf7b3f0a, 0xf8d483c7, 0x65e57f04, 0x46e817e1, 0xd0620cf9,
+    0xbc8219e3, 0x5f19d5cb, 0x94ee0c8a, 0x4016a68d, 0x70fd06c0, 0xbdde75a7, 0xc3ced1e1, 0x5c95ac66,
+    0xbebdd247, 0xd4d654a8, 0xbc30f062, 0xa0df20a1, 0x2f54cdd5, 0x6dfdacaa, 0xfd0e90fe, 0x1996bfbf,
+    0x57bf039e, 0x3d2df3fb, 0x4f94cdeb, 0x4e546304, 0xa570a5e0, 0x99d57a7f, 0x3e173ea8, 0x2f82c302,
+    0x11f5b9e7, 0xcef1d290, 0x066af356, 0xe845e0bc, 0x2b5aefaa, 0xc3016ec7, 0xd6e96129, 0x2ba65376,
+    0x25e1ee4f, 0x4b76ccd7, 0x391a94f8, 0xed935a26, 0xac6130e5, 0x0dcd64f2, 0xe5bb0da1, 0xcb947778,
+    0x14ca520d, 0x0c56599b, 0x20d4f7db, 0xa77e1167, 0x010344ab, 0x8a5ae89d, 0x5691b643, 0xb83f4f61,
+    0xfef6ce3a, 0x9ea27700, 0x8b51e846, 0xae8f69f8, 0xba0ad172, 0x60e41daf, 0xd9ef0834, 0xaca61fef,
+    0x7f7c1bf4, 0x0e6c5b1d, 0xac168b2b, 0xf96ab1ed, 0x4a23db65, 0xeeda524d, 0x57c80b3a, 0xfdd38cd0,
+    0x12461bde, 0xefc21cd7, 0xc431db90, 0xc448fc0d, 0x49f49d44, 0x621e00b4, 0x047e47e1, 0xffe7d944,
+    0x502715fa, 0xb30c4444, 0x044483fc, 0x8a40a3d6, 0xfa7ff98c, 0xc045f4d8, 0x06db10e5, 0x364b6bd0,
+    0xca6076f8, 0xa1d21c01, 0xaf9b56fc, 0xd308a9f0, 0x439ec3c6, 0xde7dce55, 0x056faab9, 0x9173919a,
+    0x00000000,
+    0x035269e0, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000016777216 */
+  { 0x00000000,
+    0xd3f83f52, 0xb233321a, 0x1b6b6cd5, 0xfaa89d4f, 0xb6587db4, 0xa21d658e, 0x7009cc07, 0x6f0b1c0f,
+    0x1b523b9d, 0xac77f82a, 0xd260d778, 0xb78050b4, 0x78f88b4e, 0xb9d92338, 0x91ff1777, 0xa4e77148,
+    0xa5f9a111, 0x0c2372bd, 0x5feff265, 0x5b6cbb56, 0x18bd3251, 0x70d42165, 0x73cbaf15, 0x13de460c,
+    0x4dcdef10, 0xb62bbc38, 0xf978aed5, 0xf2e24f9e, 0x29607f32, 0xebadaab0, 0x28ea1f50, 0xece3ac8b,
+    0x29071715, 0x13ce9442, 0xee486773, 0xf41ea4d1, 0xcf88772f, 0x04d7658b, 0xbc6ac029, 0x1689a0ad,
+    0x503ee04d, 0xce8f0308, 0xc1449bbc, 0x9796a119, 0xae1c5471, 0x7efe8085, 0x60b9b5d7, 0xc4707b69,
+    0xfbb432cc, 0x9e7d6604, 0x61f9a85d, 0x517d6324, 0x1409dbdd, 0xad5121ce, 0xc7b584ea, 0xe70181d8,
+    0x05c09372, 0x1699f5de, 0x7735310a, 0x5095b87b, 0xadf6031e, 0xbca13aa2, 0x9ed688a3, 0xc78565e4,
+    0x2fbed9e0, 0x51f2db4f, 0x6c32301a, 0xe593f537, 0xab888fed, 0x6577c0e8, 0x421edf42, 0x3a10c829,
+    0x765a45cd, 0x4715a291, 0x94e6ad6e, 0x82ce244d, 0xe3885713, 0x145de98d, 0xfda5aeaf, 0xce989d8e,
+    0x1fdba54e, 0xad535be3, 0xd38bbdf2, 0x4c8aca60, 0x123a3bc0, 0x51d57f0d, 0x5edd9cd8, 0x8b081200,
+    0x9cda3f1d, 0x05c650b1, 0x0a246907, 0x3767860c, 0x0438dc4b, 0xe5b143e8, 0xa9040810, 0x40ff7417,
+    0x07e4e2d6, 0x037c2883, 0x8b119a02, 0x0240256e, 0xc9ce51ee, 0x37f4b137, 0x7fa1130e, 0x284a84f8,
+    0x7f9b05ee, 0x1ce53bb3, 0x0140494e, 0xa386cb5a, 0x273919f4, 0x6240d8f5, 0x16702839, 0xef046439,
+    0xf985c112, 0x1e3ac701, 0x7d25b8b8, 0x1a0b10db, 0x496bf64a, 0x09c7c2fe, 0xfbba64ea, 0x33db2add,
+    0x18be63e8, 0x54bf5af6, 0x9e7b943a, 0x6bb23135, 0x0087a53b, 0x8168a17b, 0xe12f1f62, 0x379b1663,
+    0xc87a9462, 0xfd554f01, 0x2c425f91, 0x97607e5b, 0x6e28a7ed, 0x6c7f2b31, 0x94f78991, 0xacd4f2eb,
+    0xc4b882db, 0x6e6b20e7, 0x721f8e6d, 0x86797621, 0x5025a24e, 0x24c86d5c, 0x2471a7fd, 0xb38f7c17,
+    0x6412c234, 0x8d51b983, 0x6ec182ea, 0x4850c2ef, 0xc8343545, 0xbd9f5d95, 0x5bc95d3a, 0xdca85936,
+    0x25e2dd26, 0x3d1810fa, 0x55ed25d2, 0xd9f685c7, 0xea021352, 0xe31d601b, 0xac6a2f2d, 0xdd7721a8,
+    0x884aa375, 0x5d3bd12e, 0x491ca6aa, 0xf775f200, 0x9cd81309, 0x568945c6, 0xf68d5a1e, 0x3a945250,
+    0xce82b5dc, 0xcb78bc18, 0xdec490c4, 0xbed6c10c, 0x97af80f0, 0xca887e41, 0x455bbeef, 0x523a5abb,
+    0x9c17de5a, 0x33a020e1, 0xa8ff84c8, 0xacc13e26, 0x7b9d5798, 0x9fadf4ae, 0xcdcbbf66, 0x6c66db7f,
+    0xd6ec0ec5, 0xd77fa1e4, 0x7c209718, 0x185f24a1, 0xd15c619c, 0x6bb65f80, 0xad2e2b1e, 0x913853ee,
+    0x179d86a3, 0x0d388d6a, 0xf6eefe88, 0xd68168d2, 0xcb7bb44e, 0x8df34fbd, 0xf9e81297, 0x5ea3c746,
+    0x5557cd75, 0x14efc4fa, 0xb6148f35, 0x8ca6bc12, 0x5be0b95a, 0x20d42426, 0xabd930fe, 0xec0a553d,
+    0xb6d9d6e1, 0xc7dfaa59, 0x9c1c938d, 0x86185ccc, 0x4a391cf3, 0xaf32f8c4, 0xb39b9c98, 0x7b3c5edd,
+    0x4f397b5b, 0xa60c3495, 0xdbbc1bb1, 0x342c1881, 0x743211ff, 0x539995d1, 0xfd1c5a27, 0x2af81291,
+    0x8e6cc61c, 0xec45a7bb, 0xdb4819ab, 0xd1c248c4, 0x72abca46, 0xfd4f4303, 0x84675834, 0x07c7fd00,
+    0x6edadd05, 0xbb1fc97d, 0x86991f53, 0x2e829a70, 0x3a9e2148, 0xaa8443c7, 0xbd2b672f, 0x7218736b,
+    0x36065558, 0x5463c38d, 0x31b37803, 0x176d25ee, 0x39589e75, 0xb8badc9f, 0xede694a6, 0x36856078,
+    0x571fd0ef, 0xec5076d1, 0x79502106, 0x8866dfa3, 0xe2c045d0, 0xdffa205f, 0xed68d6c9, 0xe6e2ba47,
+    0x98044484, 0x768fbabc, 0xf6a179ec, 0xfc40aadf, 0x02eb8b6e, 0x79e1b36a, 0x6828550d, 0x6a1316be,
+    0x607f67c9, 0x00222cf7, 0xd8486bed, 0xa98c91ba, 0x4befe5be, 0xa92b601f, 0xc8ab50f6, 0x4b1078fa,
+    0x2b2c163f, 0x724d731a, 0x7ee1fe52, 0x4fc0b9c4, 0x2d6bc794, 0x430a09cc, 0x5f478f59, 0x99c7c191,
+    0xb7051132, 0x8ecc27ee, 0x03e5babe, 0x49ae3e7d, 0x67554119, 0xe4004d46, 0x7f7f0cd1, 0x6bd6e193,
+    0x5c50b87a, 0x9b2dc41b, 0x773ead12, 0xbb91ffa5, 0x1170f8ea, 0x9598dc9d, 0xf7081d82, 0x8e6cab97,
+    0xbdca9419, 0x8c596f63, 0x137c0080, 0x0d3b69f2, 0xf0feea28, 0x7d5e7930, 0x6f8de55e, 0xe24c49eb,
+    0xae048c68, 0x6f88153f, 0xdf6f3423, 0x46a3556c, 0xb037f044, 0xf557593a, 0x1cec5016, 0x0ac9ceed,
+    0xdd3b7623, 0xc4fbd0c5, 0x5778f723, 0xf82078bb, 0xf3e532f2, 0x393a8f40, 0x87cdab79, 0xc04033bb,
+    0x96ad9c33, 0x111a3f90, 0x03a0171e, 0x57a796ef, 0xd9efc125, 0xfadd7f81, 0x5e5b87ff, 0x97a3df81,
+    0x0aa38122, 0x10dd28ad, 0x395de43b, 0xa281ceba, 0x80a6824d, 0x4055bcba, 0x2b76f612, 0x65d8d9ba,
+    0x8c76d7fb, 0x747fadb4, 0xe284b815, 0xbd998818, 0x8f083755, 0x5fb40db1, 0x313c5096, 0xb4e66ae4,
+    0xa01abdc9, 0x4c65be01, 0x26ec8aa4, 0xb9c0f9b3, 0x7fd1a6f5, 0xd6fc08bf, 0x216c6652, 0x7a3b7573,
+    0xcc6a2db4, 0xa19b6404, 0xe896bd40, 0x43da027b, 0xa11f6f42, 0xf2842f3c, 0x3fb6a997, 0x99862b63,
+    0x3e4b808b, 0x71597c7a, 0xe0f0b7b8, 0x66e08fe8, 0xeb805f06, 0x211ed590, 0x5d61f45d, 0xa789c541,
+    0x7fdab49a, 0x2406264a, 0x92e1c945, 0x2a6afadf, 0x0908b8e8, 0x6b61e7a0, 0x1bdb2fda, 0x8d645626,
+    0xd8f8d118, 0xe5d79d5d, 0x2af45936, 0x8cecd668, 0xe174f4d1, 0x4d70330f, 0xcf93c78e, 0x6c8559b7,
+    0x5b4c9266, 0x61366d55, 0x9c4d2c55, 0xeeee4cce, 0x8ed40013, 0xe3021141, 0x4db10d5d, 0xd7211a13,
+    0xdf2e9c97, 0x624f9db9, 0x10477df7, 0x07e8611b, 0xfffd3224, 0x3452e572, 0x7c6f3464, 0xd583bfdc,
+    0x0d398fd2, 0xfe870e80, 0xf1f87f57, 0x70af9907, 0x88b34c77, 0x992c8c74, 0xc9805360, 0xbe43afdc,
+    0x874854c7, 0xbbaf5a28, 0xa12bae64, 0x6559e034, 0x6e917828, 0x0c5da807, 0x1bb89709, 0xbb7cb332,
+    0xc3120850, 0x856f1bbd, 0x9be18a8a, 0x30b9856b, 0x6f199a01, 0xd7ef5a54, 0x73807831, 0x8888b143,
+    0xae3ddb9c, 0x013d52bc, 0x8c02865f, 0xe4332224, 0x246ae432, 0x184eff79, 0x36f81c4c, 0x214636ca,
+    0x1baf0616, 0x5fbf249b, 0x856faea5, 0x801da525, 0x38669c62, 0xaa77af40, 0xf3fea249, 0x1e318b61,
+    0xb3d34371, 0xd9ff1f0a, 0x33b4b4ae, 0x1c1a42b6, 0x946848f0, 0x64b3d7b6, 0x69507efe, 0xeacb3904,
+    0x11c6ba9e, 0x9b3fed0e, 0x7ffa39ef, 0xb9ebad2c, 0x4afdde6e, 0xf864e6ab, 0x87cea69b, 0xfe85cfa0,
+    0x680b109e, 0xe94c17e1, 0x4cc0293a, 0x733dd47b, 0xda0b00fd, 0xc398f7c4, 0x8c165880, 0xe465c651,
+    0x0a802d0b, 0xb4baf80f, 0xacba2851, 0x17360292, 0x2df1cf73, 0x76af08f7, 0xa39d73c9, 0xab94f17f,
+    0xbcb7fe35, 0x76abfeca, 0x32642e93, 0x5605686b, 0x67eea707, 0x7fc9ba61, 0x5418c5c0, 0x82c7963b,
+    0xae87a227, 0x4e863e22, 0xde296fac, 0xf5210832, 0xd253b9c7, 0xe02bad30, 0x45cf8412, 0xb5817e13,
+    0xe0a59df8, 0x39f75500, 0xa9db77e4, 0xc8575861, 0x535b1329, 0xb4f7c635, 0x74e11bf2, 0x348919f0,
+    0xc29f5a9e, 0x979a854a, 0x2777bb8f, 0x4de14c07, 0xe94bba06, 0xf3f18817, 0x6a349330, 0xaf73e96b,
+    0xe82a7685, 0x249343fe, 0x8605aecb, 0x199c3918, 0x86a62426, 0x12277b76, 0xdf936197, 0x3cb7f3a0,
+    0x0e33a20a, 0xb7f7bef6, 0xe26b977e, 0x1e7316a3, 0x1d5f63c5, 0x0418caa6, 0x57b2e7c4, 0x1cd1d503,
+    0x9c45afd9, 0x12af059b, 0xcf491865, 0xf116387f, 0x8955633a, 0xe4a88f83, 0x8805cf7e, 0x37f8f28c,
+    0x4e628dca, 0xc2f0418e, 0x6f9fcda7, 0x48627c46, 0xd5ff6712, 0xf7db18a6, 0x7f40bcb2, 0x0c7362a3,
+    0x9c2a395e, 0xc414bc3d, 0x3abba7fa, 0x200d7f71, 0xafda06c4, 0x18322aa3, 0x0478fd2f, 0xb7b5b7cb,
+    0x83a2c3e0, 0xc4eed29d, 0xf0275159, 0x06f9280d, 0x8d0ec749, 0x10c7e581, 0x10868312, 0x8a52796c,
+    0x689e715e, 0x2e6df879, 0xdea1caab, 0x615fd6e7, 0xc222543b, 0xbc489405, 0x2e0e688d, 0x2ab48b66,
+    0xe1ec4bbb, 0xb39209fd, 0xb5d3f036, 0xce6f035a, 0x87e5ea93, 0x9e5b9ffb, 0x8ea1b5e8, 0xa520e49c,
+    0xc9924239, 0x78884134, 0x531996ff, 0x1c7e57be, 0x05b832dc, 0x9bd808b2, 0xf5843ae8, 0x1b9bd03b,
+    0x61737327, 0x56583bd2, 0x740dc7f0, 0x863caf41, 0x4faa4028, 0xb20426a3, 0xeced412e, 0x8a4e4de0,
+    0x198cc66b, 0x6596e0d0, 0x65880894, 0x90bd7067, 0x3d1617ef, 0x4fa80402, 0x7377e1b8, 0xba3c3bd7,
+    0x6dde74b8, 0x0d7551ba, 0x98b814eb, 0xdfe5c687, 0x99d48c50, 0xfc97c203, 0x3dd0f8e3, 0xfbc4d784,
+    0x0214d9af, 0x3cfe8eed, 0x9a1f0847, 0x611cc31b, 0x356310b4, 0x1f2fbd91, 0x7ea1074e, 0x96579cc9,
+    0xdd4d3c73, 0x7b416d93, 0x23f8f261, 0xdb2cb74c, 0x5d588e16, 0x72009927, 0xc0348207, 0xfff6565a,
+    0x4756d036, 0x9e8b6bd2, 0xcf9b1b70, 0xb81e5267, 0x8f2231bd, 0x4232c61b, 0xc37c3b4c, 0xbdfdbbc3,
+    0x325b6cd1, 0xc24e45b9, 0x96e237e3, 0xa60df804, 0xf922d867, 0xb1026505, 0x6e5b7054, 0x71fcbb42,
+    0x28f4ab7c, 0x4f4490db, 0x503aa1a9, 0x0bb6342e, 0xd1c43ba3, 0xe7f79f81, 0x27241033, 0x3cf894d3,
+    0xfa179902, 0xcbd401b1, 0xbd0a8133, 0xe646891a, 0x790327b5, 0xf128e4e2, 0x3d2b34dd, 0xf6472fb1,
+    0xdfe1ef93, 0x5d5bbabb, 0xab439c0e, 0x1299b900, 0x423db62d, 0xaaca1cf0, 0xb8623bc0, 0x5a71c1dc,
+    0xe5e379dd, 0x7a5bde4e, 0x999e01f1, 0x244b06b9, 0xf4e763f9, 0xab9de645, 0xfd5e9a81, 0xc1acbb0b,
+    0x39189d43, 0xdada50c7, 0xf04362bd, 0xed3854b2, 0x4e675193, 0x7581e461, 0xdb08d1b7, 0x351f7704,
+    0x6ae2e81b, 0x63e5fbd1, 0x2dd1ab33, 0x197c265d, 0x63eb04ae, 0xd0c8fd03, 0xb5ed35fe, 0x8a569692,
+    0xe37fe232, 0xe480cb20, 0x8d644573, 0x02eeffa4, 0x470bcea1, 0x03618f39, 0x68573f56, 0xa55a2741,
+    0x1aec7fba, 0xb11c8ad8, 0xcaff051d, 0x633a697e, 0x3e2cb9bd, 0x56a87be8, 0x2df5be98, 0xcafb0b29,
+    0xbc4242fd, 0xd3c55111, 0x9af947af, 0xd5493357, 0x84b904e5, 0x1b21e84d, 0x9f968129, 0x5d13853e,
+    0x2a41ee41, 0xcc37097f, 0x072af864, 0x90dd8d81, 0x91f18ad1, 0xc9639f84, 0x5814a939, 0xee8bfcb5,
+    0xe7c4a372, 0xe0d104dd, 0xe3546cf0, 0x3413daa4, 0x0fd02a7c, 0x55ce136e, 0xb7512daf, 0x2a15ca23,
+    0xdff14e6a, 0xf6fdc55c, 0x9a7e36d8, 0xe2f0bce5, 0x23bc1664, 0x5f6d21d4, 0x946b71df, 0xc2138c95,
+    0x8cfd9b93, 0x2b53d309, 0x01d06cd8, 0xdd1a2d4e, 0xc5fee6af, 0xc48b00a2, 0x65b327ec, 0x7219dfcf,
+    0xff84ffe2, 0xbdcce9ad, 0xa282ff73, 0x036eed77, 0x24ace8dc, 0x8ebe801c, 0x3e59e814, 0x2befa540,
+    0x9aca31a9, 0x33d9b57b, 0x73e18cde, 0x2b44de68, 0x4d1b45f3, 0xbfb7520c, 0xa73245fb, 0x4ca1bb86,
+    0x88a359f3, 0x794e90ef, 0xa34b7f79, 0x28941467, 0xd6a6ffaa, 0x9060196b, 0xd37b695b, 0x49eaf864,
+    0x358dca1c, 0xe12ad909, 0x0241a315, 0x26080e7c, 0xb0a7801f, 0xd9283689, 0x78135b36, 0x516eb77f,
+    0x29a8177d, 0xac744513, 0x74ad0d1d, 0x88eb9561, 0x7a6857af, 0x671b9f5d, 0x7d88f57d, 0x5d62852b,
+    0xee605101, 0xe90d44d1, 0x46614819, 0xeb5335be, 0xb39b9878, 0x502b94dc, 0x65330cd7, 0xf4c8af40,
+    0xde1acd03, 0xb1c271c3, 0x005ebb96, 0x5da77e2b, 0x91a278c4, 0xbadd0736, 0x1bce8321, 0x76732121,
+    0x521ddaef, 0x6825ebe3, 0x3082e957, 0xdf93b666, 0x0abdfe81, 0x66464814, 0xaea98e52, 0xa4b19e0b,
+    0x2f5e655a, 0xbb03497c, 0xdf4d8620, 0x926cd4c6, 0x0c04e25a, 0xe4fd89ba, 0x8ac017fb, 0xeaae2ea7,
+    0xbf3fd7df, 0xac1b45a6, 0x9c6d6c76, 0xaca783fe, 0xe550fa56, 0x408013ae, 0x3eade0a2, 0x9a8d0b2f,
+    0x02836991, 0xcaeae4bc, 0xab018f2a, 0x4c69096c, 0xd5d58f15, 0x80020cf9, 0x9e30790c, 0x778b90e7,
+    0x780b0c15, 0xc9ad8360, 0xa45295d6, 0xd5ae7a00, 0x4df2f347, 0x83d85f58, 0x4301cf77, 0xd8afb2d1,
+    0xdb2f60a3, 0xd0bb8b11, 0xcca04ebc, 0xcd3a9ad9, 0x0c04e5f6, 0xe74f3e09, 0xd3bf36c3, 0x2749075a,
+    0xf66eeef4, 0xa3a8ad3c, 0x3e5a05ec, 0x197eaa35, 0xb15cf16b, 0xade090fd, 0xa373ab12, 0xdf155f30,
+    0x3d5ce4f9, 0xa1f0f657, 0x0cdb2ba4, 0xcfcfc993, 0xe389728f, 0x1d683ccc, 0xb57af989, 0x75db5ce6,
+    0x59eff05f, 0x27bf46a5, 0x54e63212, 0xe35dbc09, 0x57922e86, 0xa57dc51e, 0x6eb643aa, 0x6d835391,
+    0xd1c99161, 0x39f5bffa, 0xe1299a08, 0xfd628491, 0x21915211, 0x77669937, 0x3ddcb56f, 0x49746430,
+    0xe86ce91b, 0x2b893825, 0xcdbcd7ef, 0x77706b87, 0x66c0737a, 0xf8e77849, 0xc3026d0b, 0xc60cb759,
+    0xc37c774e, 0x3947c6fe, 0xb3a087af, 0xeb87b104, 0x6ab7814e, 0x0f50a4c6, 0xb174fdb0, 0xff6203a1,
+    0xf6f968ce, 0x4f22d020, 0x86672ba5, 0x251e1331, 0x1b162567, 0x0c536c51, 0x28088092, 0xb1831e6a,
+    0x4694c611, 0x08ff15f7, 0xfe474155, 0x18e440e7, 0xc8999afe, 0x09393fa4, 0x601b7b89, 0x264b436a,
+    0x11a2ce60, 0x961bf786, 0xa88a5767, 0x4e7d0761, 0xe6b01839, 0x660731ea, 0x3e248c49, 0xad5632da,
+    0x1dd58705, 0x041e894d, 0x5bf6fe52, 0xb25da8ce, 0xfb00b714, 0x28636061, 0xd9652603, 0xf9cba6da,
+    0x8ae966bc, 0x0926cf2d, 0xe3f8713c, 0x24edc38c, 0x85385c29, 0x691b3dac, 0xc8042ce6, 0x0889054e,
+    0xd3b04ec8, 0x4a51c1ea, 0xdac7aa2b, 0xa328eaf5, 0x89b34ba9, 0x609b8e04, 0xd2f33132, 0x52fd82eb,
+    0xd0cac98c, 0xd641c6ff, 0xda16b064, 0x937cb609, 0x103d9f58, 0xa0fd99fe, 0xc436cc9e, 0x3a37aa48,
+    0x662fa191, 0xd982d1a1, 0xe33c7883, 0x120a7fad, 0xc53e66d2, 0x0835b657, 0x1b914d35, 0x9537c07e,
+    0xa07a0c3f, 0x72d122b0, 0xfc86c174, 0xb7cdb3f0, 0xe098ebe2, 0x0feb13c4, 0x6b65eacf, 0x2eafee03,
+    0xc976f8c7, 0x19adfd3d, 0x64da9ac7, 0x85cad723, 0x0e607c9d, 0xbbb282f4, 0x810edcc7, 0x8e3b9f25,
+    0x7a19a6ac, 0xf7f0dc98, 0x97ec5618, 0x7fb07e98, 0x97d93b38, 0x04e9abd1, 0xc399f2b1, 0x08795259,
+    0x0434343c, 0x11aaaad9, 0x75b84a28, 0x3b40c98b, 0x48cd7968, 0x86b7904f, 0xf17e7cd3, 0x077f4d0f,
+    0x0feebdf5, 0x0df5f091, 0xd9e1fa5a, 0x0b6bb33e, 0x9b639eac, 0x87b8e657, 0xe88e5325, 0xea49e7fd,
+    0xd4786d41, 0x1a89ca24, 0x35334429, 0x0c571ef4, 0x7ee0c458, 0x684028b4, 0xffad5af9, 0x52a08399,
+    0xf5931eeb, 0x9d7096c7, 0xe541c7d7, 0x31b4e55b, 0x3a7f0e40, 0x842994ac, 0xe5ded62a, 0xc0f71767,
+    0x00000000,
+    0x01a934ef, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000008388608 */
+  { 0x00000000,
+    0xe5997b2f, 0xb97901b7, 0x315da958, 0x0f2f1548, 0x646b2caf, 0x75ab824e, 0xa9af47af, 0xc364229d,
+    0xa51bc911, 0xddcf9d36, 0x3de18bbb, 0xb873ccd0, 0x42c178c0, 0xb12834a6, 0xb071b948, 0xb23faa21,
+    0xef466051, 0x2e70bceb, 0x168efd05, 0xe2efbb45, 0xd2cce7de, 0x98cf32fd, 0x0785a9b7, 0x5db44e48,
+    0xac1cab80, 0x02e26780, 0xbc3a3b2c, 0xef9f445f, 0x6ccafb10, 0x086e83ce, 0x9c1110e8, 0xdd527a98,
+    0x0bb91e79, 0x66bfdf0a, 0xf485ab6b, 0xcff7dbdb, 0xe2077ba3, 0x3c3c8eaa, 0x1183efd1, 0x02b307f0,
+    0x2d377ebb, 0x08b95a3f, 0x4f7d4cdd, 0x695b1d99, 0x16296f52, 0xdd281c58, 0x7db67568, 0xedca739c,
+    0xae09a0ba, 0x329aad3d, 0x46c6c696, 0xd6ab518a, 0x1da3b5ab, 0xf24c865a, 0x51ade63d, 0xe77458a2,
+    0x45800ca4, 0x6aa6842c, 0x07c38ab7, 0x07d0c5ba, 0xf149aa4b, 0x51fbb674, 0x1a00b330, 0xf781862a,
+    0x6b49f09c, 0x3eeb3c7a, 0xb1def8f3, 0xf038c3cd, 0x1b78b9a3, 0xd1fd566c, 0x5032298c, 0x26d10721,
+    0xa261986c, 0x218e3a1c, 0xb6270882, 0x74454ec3, 0x245d76aa, 0xe864fe2b, 0x4b4fec43, 0xc312ae50,
+    0xdea745e5, 0xf3e1d300, 0x207ca301, 0xa5cd9b82, 0x40f0f8ce, 0x9769dc33, 0xb3c76370, 0x4bedd379,
+    0x4cf15632, 0xad50c296, 0x9312aaaa, 0xfd99849c, 0xaab4ed7d, 0xb8877c9f, 0x1a3b9dbb, 0xc681f55c,
+    0x486a189c, 0x41a2d851, 0x3fe0908b, 0xf2c9a033, 0x772d6740, 0xb8e9a6a2, 0x9247d514, 0x5ac13495,
+    0x9f8406d0, 0x2b1f7127, 0x406af569, 0x0380a73f, 0x16cc8258, 0xba599456, 0x409a44ee, 0x4c4a6091,
+    0x50531f81, 0x9085b4f4, 0x0e9d4acb, 0x48a94fe3, 0xd775bd5c, 0x38676cdf, 0xfe38ce0e, 0xe78c3f81,
+    0xc80f0d19, 0x757a9820, 0x8df436a0, 0x3b316934, 0x8f000823, 0x2ffcc3b7, 0x6e5d1d45, 0x4f604aa6,
+    0xa96e21ef, 0x1dc7b6d1, 0x60566ef5, 0x854c4d77, 0xb8623d0f, 0x23659b3d, 0x0d835bb2, 0x2cf17239,
+    0x48af65bd, 0x11607a17, 0xf5df5d5d, 0x89728450, 0x0b28a542, 0xb9049bac, 0x6b8540ba, 0x54a384ad,
+    0xfee1e293, 0x9538e2d4, 0x176d5a47, 0xd9ba04b1, 0xb14891e3, 0x3b90ee79, 0x0debf294, 0xf4a28b9f,
+    0x505c49ae, 0x34ae02c2, 0x5a15e9a0, 0x5aaa2b9b, 0xc471b231, 0x315d83c1, 0xe87e6630, 0x626dac3e,
+    0xdcebe8e1, 0xc0c9be53, 0x3b48c990, 0x61bfed70, 0x1654aa19, 0x3ecd9be5, 0xf6438529, 0x3e6ca125,
+    0x3358926d, 0x8cbc1724, 0x14e6522f, 0xdc48395e, 0xddce6f34, 0xd9046d4c, 0x3275badf, 0x4ac94fbb,
+    0x552c4a9b, 0x0eb61bcd, 0x09c7f896, 0x3945f295, 0x6d0265a2, 0xfd5b7354, 0xfe08c57e, 0x38d886df,
+    0xb21de1c0, 0xe2d274e6, 0xc50c6cae, 0x35e99e79, 0x7c8f0650, 0x01a87e71, 0x10a789e4, 0x0626aa9e,
+    0xa5b2d5fe, 0x9fb2c650, 0x1bbd13cb, 0xf1d959e2, 0xb186163c, 0x442fe338, 0xef93e49d, 0xa0eb6028,
+    0x005b941b, 0x8cea49e7, 0x1a77970d, 0x055ad46b, 0x34daff80, 0x4f31dc51, 0x19b8844b, 0x0b45261a,
+    0x2bb04718, 0xbd2fd992, 0x3ad6b93f, 0x525a6c7b, 0x5a3de66e, 0x4ce07cd3, 0xdb8a01b9, 0xc9d15869,
+    0xc28fc002, 0x1c99f115, 0xfa306b54, 0xd39bbd6f, 0x518a84c2, 0xf5f4b63a, 0x169b8584, 0x32c7f8fa,
+    0x0dbc1a68, 0xe2fe0629, 0xe4cb8cfe, 0x00d55b16, 0x51d89510, 0x88f3add3, 0x63932e25, 0x3884440f,
+    0x695bdc84, 0xa186fa49, 0x0590084e, 0x59f89bc6, 0x864f13ef, 0x324c2bdb, 0xa72f3cc8, 0x3b09d03a,
+    0x4038279b, 0xfcd4d29f, 0xb28e1ed6, 0x63c71dc3, 0x937b48d4, 0x8735c418, 0xf69bcaa3, 0xb0983eda,
+    0x85310ec4, 0x81d456c3, 0xc7314570, 0x75786afb, 0xdb0d81ff, 0xd62871a4, 0x80ff8e52, 0x97df4574,
+    0x7b77ea41, 0xbc652e36, 0xf0031b3f, 0xaefaab7a, 0x6ab98821, 0x006cc962, 0xb0da0efd, 0x7611ad42,
+    0xb7a517d6, 0x063ad5ca, 0xb05800da, 0x7d61fe5e, 0xa90bcd52, 0x4703a467, 0x39a8ff77, 0x7c455c27,
+    0x1b2c950d, 0x021b97fe, 0xc49997f8, 0x431f8d26, 0x97fef826, 0x14aba202, 0x24a3ea48, 0x0a806042,
+    0x8692624b, 0x6b8b02f9, 0xa27179f2, 0x14c219fc, 0xbff9f8d9, 0xb5228a56, 0x44c90997, 0xa0f9c587,
+    0x94f00fbf, 0x233db6f2, 0x64728d75, 0x06f78bcb, 0x1850ad15, 0x0744a644, 0x1551fac9, 0x7bab467e,
+    0xfb221294, 0xf91fbd32, 0x1f988edd, 0x046d9dc7, 0x0c0488e1, 0x0c30504b, 0xa8948cc3, 0xa018290b,
+    0x912af157, 0x9fd47ea4, 0x64a82f89, 0x5c336b55, 0x169ca294, 0x4ac95fde, 0xb76cf9f6, 0xee0af7fd,
+    0x95f7412c, 0x57bb93e6, 0xfc4941ec, 0xa80dad66, 0xb4b5283c, 0x769be163, 0x5095dc31, 0xeb9470a7,
+    0x84fa44c6, 0x839ab67e, 0x1344cbdf, 0x2d3c2467, 0x49faece8, 0xb5476c10, 0xafcbb2da, 0xca431df2,
+    0x22a324e0, 0x2f89707d, 0x7d362e37, 0x9fef8570, 0xe8bef9b8, 0x0ee207b7, 0xd9efbfcd, 0xcfb42ada,
+    0x4bd4ea89, 0xf660a2bc, 0x0f7681b2, 0x93a33c81, 0x12296cdb, 0xa8bdac21, 0x473c106a, 0x55638203,
+    0x2a13ca40, 0x3266bfe8, 0x649901ca, 0x1af88c7d, 0x913f2bde, 0x20718301, 0xee815044, 0x06c7465c,
+    0xd5e11f3a, 0x903ed0d7, 0x3931eba6, 0x6a64bcd3, 0xa7668a1d, 0xfeda8dd0, 0xfe4af53e, 0xec6a874d,
+    0x87f8b936, 0x1afa4668, 0x2d696e52, 0xa6328710, 0xced1686e, 0xeac3e10c, 0xaafbb436, 0xa673f5ac,
+    0x7562f418, 0xfd8d80b2, 0x7524da3e, 0x267cd04a, 0xf03520a4, 0x5de19d1f, 0xdbd8b4b3, 0x4dd4696c,
+    0x3f707d38, 0xcc9b7921, 0x115cf505, 0x98fb0449, 0xfe4cb850, 0x94834872, 0xe6459bfb, 0x6d2a4cea,
+    0x0f0373a7, 0x8bd5bd3a, 0x71fcafd0, 0xa88603dc, 0xb7fbdb07, 0x886c0bdf, 0x47639ff6, 0x6e2dbd27,
+    0x88e22824, 0x5ec4a769, 0x81f649f5, 0x90aad722, 0x13a31f4b, 0x574bba64, 0xecbd7da7, 0xb807d93e,
+    0x49e9a833, 0x15064dca, 0x9f49812d, 0xf550a825, 0xccd734d5, 0x6b27872a, 0xd71915db, 0xa0d2be6d,
+    0x905912a9, 0x580df620, 0x9dadfbd2, 0x2619575a, 0x118dfaf4, 0xde458fe6, 0xe9daca75, 0x82228c75,
+    0x8e0c9fad, 0x60b55faf, 0xbbebadc5, 0xb428d6d8, 0x838d5aab, 0xbff73879, 0xee46d5ca, 0x5369a693,
+    0x3afcb3bc, 0x955064ad, 0x32f2bbb0, 0x0ef300bb, 0xdd7dce82, 0x2e0342f7, 0x395e79d7, 0x8a9c1f4f,
+    0xf38a30ae, 0x2b7bfb8f, 0x75e38e7c, 0xf34f4c58, 0xf21e7bc8, 0xadec27b9, 0x6d38c14e, 0x53fafe2d,
+    0xe945ea1f, 0x4f60e458, 0x94a23e95, 0x90599152, 0x1d0a2db9, 0xaf0a5cf7, 0xdbf4d64d, 0x5e97b1c8,
+    0x8bbf8c04, 0xcf10625d, 0x0b0b9f4c, 0xf6adbf6f, 0x0a78ebfc, 0xd35c293d, 0x5e0f3cff, 0x3a811004,
+    0x08f3d9a8, 0xb1f02a16, 0x3986a073, 0x1b9f027d, 0x316d3d95, 0xca88246e, 0xa5de0a63, 0xd478718d,
+    0x8936d073, 0x825175e4, 0xc8799615, 0xe96cf7e4, 0x6c97550b, 0xc8adc6b5, 0x5eff4bc0, 0x3a35ee18,
+    0x471b0a6a, 0x7d855dca, 0xff352ac6, 0x57703b83, 0x93bd2724, 0x91602f15, 0x1b1d67c2, 0xc10e7a72,
+    0x2daa59fd, 0x23864499, 0xf454aa91, 0xfe3e3d96, 0x62b47552, 0x5e8a5011, 0x03f982dd, 0xa3e67278,
+    0x4ac985d4, 0x261e4582, 0x2eda387e, 0x35259099, 0x992adfcd, 0xd490e489, 0xb86d07dd, 0x0b684f5d,
+    0x770d4b4d, 0xf3e42e73, 0x250b5201, 0x21eb14ab, 0xa4e44334, 0xbecbe107, 0xa0ab0b3f, 0xda1bc646,
+    0xbc936408, 0xbd91fe42, 0xb82748d2, 0x14c8ba3b, 0x710d625e, 0x1745a709, 0xdcf877ea, 0xf0faab1b,
+    0x39e0416a, 0x8e5e4bdd, 0xced1bc57, 0xb4ee4435, 0x9e971b38, 0x7439fdbc, 0xbf1cfdee, 0x4271342b,
+    0xa97b990b, 0xed9a383b, 0xa5665e00, 0xbb6fe09a, 0x891aab3b, 0x0dfcd2e3, 0xd062a7bb, 0x1b2fca45,
+    0xeb79f2a2, 0x9d67cf42, 0xce0b8058, 0xaf08573f, 0x32b1e86f, 0xcb414ba5, 0x28fd5110, 0x5eb166f6,
+    0x3f32432e, 0x73bdaa17, 0x949ddd8a, 0x12cfa91b, 0xf25c49ca, 0x2bb47f65, 0xfba7373e, 0x913759c5,
+    0x471dc475, 0x542f5215, 0xb1e28653, 0x313b5e9f, 0xc93a1862, 0x237a09e7, 0x53071f04, 0xd09bf7d8,
+    0x7ddbf5ce, 0x4433d3d0, 0x16aba40c, 0x26b8dbc3, 0x303b5c8a, 0x1c47a936, 0x705219d0, 0x768dc467,
+    0x1befcab5, 0xa43b0bfd, 0x0f250269, 0x96d37305, 0x2147a27e, 0xddd9b5a6, 0x9500b0a2, 0xdfbd1f29,
+    0xdd287f5a, 0x7eeac069, 0xde47013a, 0xa55d2739, 0x4823b1aa, 0x9edcf7fb, 0x45a9765f, 0x6a2ef69b,
+    0x22338714, 0x89a79596, 0x935ca1a8, 0x8af1f785, 0x1f547cb3, 0xc2f8549b, 0x6ceefcea, 0x5872e955,
+    0x32ce1d2f, 0x82dc95e4, 0x2efde0db, 0x3e775a29, 0x1577560e, 0xc9b9f781, 0xf1613ae8, 0x6eaca647,
+    0x6fe2b5f4, 0x659c8976, 0xd5485c25, 0x0859dd25, 0x3f593702, 0x05ae7122, 0x84bdb54c, 0x523bcf1a,
+    0xeb77df6b, 0x0ff7c9ea, 0x5dd7c0ea, 0x53ffa435, 0x580d28ed, 0xf05c561a, 0xbdf45752, 0x9932881f,
+    0xd3512ae3, 0xbdcc5106, 0x37525ff6, 0x25c4c051, 0x6cbaca97, 0x2cabdb2d, 0x85c197f6, 0xafe0897e,
+    0xda111885, 0xcd47328d, 0x37baed7f, 0x6f66b910, 0xae16bd8d, 0xee53cb23, 0x4cb4e99a, 0x9519fe3a,
+    0xd5c62666, 0xb1f9ace4, 0x330205fa, 0x9cf275d4, 0x64b29c5c, 0x846c42ec, 0xe06f2ef5, 0x55b39fc8,
+    0x4337759c, 0x927c9812, 0xb3fa5e33, 0x28b399e8, 0x31b84e23, 0xc628fff4, 0xbb35c91a, 0x31b39ffd,
+    0xb81ec3c2, 0xeae3a791, 0xd6086ac4, 0xf46315f0, 0x2abfb25e, 0x87fe28f8, 0xc3ccecaa, 0xfbd67ed8,
+    0xc42b8360, 0xce59f15f, 0x43a3b0a1, 0x37a4333b, 0xb7d84a48, 0xa47afe9e, 0x46a04b5a, 0x566bd010,
+    0xbed6e135, 0x6fc50815, 0x351f7278, 0x2cebfcb2, 0x399830b1, 0x79413e73, 0x9f4bfcda, 0x0a10d950,
+    0xeb26ff38, 0x09614007, 0x40b0a1f1, 0x15599029, 0x07df5dc6, 0x08f56d49, 0xb158a53c, 0x9f0769eb,
+    0xc9263b97, 0x9541a966, 0x0821b4ec, 0xd3f6866d, 0xcb95a236, 0x3e5b26e0, 0xe0ac7c4e, 0x19d833fd,
+    0xb55c3faa, 0xa6f65d65, 0x840062c4, 0xdda36b12, 0xad55e14b, 0x2db3c596, 0xf14eba4a, 0xd9c9fac6,
+    0x988755b6, 0xabd6ec74, 0x9ad47fa4, 0xa9adfd00, 0xa2843ab1, 0x771ae219, 0x88953644, 0x53af2615,
+    0xe15e1803, 0x5d73e401, 0xe2498a70, 0xe3f7d5ce, 0xf5f3d06d, 0xc93abbc2, 0x947d1470, 0xfdf1ec5f,
+    0x71fad997, 0x082b8ea4, 0xe4a7a869, 0xcd9df817, 0x7acdec73, 0xcae9cd97, 0x4ea33748, 0x6a2e4183,
+    0xdbfd22cc, 0x3f27086c, 0xfe080603, 0x064128d6, 0xe493dd26, 0xc3a88463, 0xc8628a10, 0x39f84abc,
+    0xd6c971f2, 0x97a76f0c, 0xee604c2f, 0x2c94491c, 0x8a8d753f, 0xd391f48e, 0x6e413ee7, 0xc8a84b8c,
+    0x6de5b329, 0x25eefa1c, 0x6188fb56, 0xee1791e9, 0xc5d9599d, 0x339e7745, 0xbfd03988, 0x634a8370,
+    0xebce7295, 0x1b5507fb, 0x83e8227b, 0xaf06686b, 0x590e1bfb, 0xe08aff19, 0x7d417307, 0x31ecabf9,
+    0xaf94c15c, 0xf6d369f3, 0x17b4207b, 0xd45b1380, 0x2da899b9, 0xa1859671, 0xdc247025, 0x02e483f7,
+    0xa35fd087, 0xbc0b839d, 0x9d6dbc05, 0x3ce917c9, 0x4148169f, 0x8da1f8e6, 0xf51f5096, 0xedfcff8c,
+    0x76c5f135, 0xa661d42c, 0x743987e1, 0x7c35f436, 0xf663c6e3, 0xa2d7de8b, 0x7f411a15, 0xaf4d518c,
+    0x160e18c8, 0xf800bf6b, 0xf43f49d9, 0xbc6fde8b, 0xc5316be2, 0x0347e3df, 0xc8aa9859, 0x96528aa7,
+    0xffd6acdc, 0x5dae745a, 0x1da42586, 0x0384d37e, 0x140ad53e, 0x22f84f26, 0xb7d36379, 0x5bcd2bde,
+    0x87ac65ca, 0x2fdb97b8, 0xf0085235, 0xa8e02a9f, 0x17a8f1b1, 0xa6c77374, 0x28c85fd0, 0xed6696c6,
+    0x9d21388a, 0xb0769efd, 0x35ef9478, 0x5bef1d0b, 0x355b0cec, 0xd5ce5ce7, 0x7892e290, 0x6e7dbb30,
+    0xf69be5cc, 0x24c79553, 0xab0a1b18, 0xe700eda9, 0x7f2b6f50, 0x3e4fe780, 0x0e4af68c, 0xfca1adf9,
+    0x0635fc25, 0x3f9c269e, 0x739b9442, 0x56fbf1bb, 0xebce7fc3, 0x34dbf351, 0x154f9eac, 0xc6b08361,
+    0x1b548512, 0xd129b912, 0x61f88e41, 0xc1681d88, 0x62ca92c8, 0x552570ef, 0x9efa5a6f, 0x944509d6,
+    0x0d061a63, 0xf13adbdd, 0xda4c8713, 0x9fcb1401, 0xdb2271b4, 0xe0604af8, 0xabbcc5ae, 0x23d13d18,
+    0x9bc4c295, 0x0c6817a1, 0x74bd3801, 0x988eff20, 0x6367a73c, 0x3ecc713e, 0x01ac3b33, 0x29d137ff,
+    0x5e6f6b45, 0x124ae38c, 0x8149215c, 0x35e1edc4, 0x80fb9a3c, 0xf14d3b8f, 0x0033916a, 0x5f81fac9,
+    0xd88e6a62, 0x6f9cb99e, 0x41ed80f1, 0x150153c5, 0xbfc19956, 0xb486c39f, 0x68f71019, 0x331059f4,
+    0x1ee0d05e, 0xfb24e211, 0x8c1cfc26, 0x2128a31b, 0x6892bc3b, 0xbec81691, 0x74fe7a50, 0xd8d657fe,
+    0x15fc49ea, 0x91b930b8, 0x6568968f, 0xd0f55ead, 0xa3b6b8b0, 0xe8dac3b7, 0x6561747a, 0x5ef8c307,
+    0x44790c69, 0xd751e6cf, 0x50a050b2, 0x16a72496, 0x8e510f7a, 0xdf796094, 0x23b66871, 0xdff2321e,
+    0x9dbaf766, 0x7e7b0cb3, 0x8310f684, 0x22269165, 0xc4465eb6, 0x91fcb1be, 0xa84de715, 0x15bad4ea,
+    0x8fc5c2aa, 0xfe9f44a3, 0xed22abf6, 0x2bb0d62e, 0x60a74bba, 0x6a4d3ce3, 0x1fc8bc72, 0x825c9102,
+    0x03fb2d48, 0x95d5ceb6, 0xa054a05b, 0x3a475ae8, 0x9620d0d2, 0x0031a7c0, 0x4a77fba2, 0x86dae300,
+    0xd34fdf71, 0x1ac2d50c, 0x20473336, 0xfb6ffcdf, 0x8a33115a, 0x3d4ebe2d, 0x0a4141f2, 0xcb830185,
+    0xf066967c, 0xe3be36b1, 0xfaec45a8, 0xce0f679a, 0x93657fc5, 0xbe6f0a64, 0x4a6167af, 0x58426f0e,
+    0x42323262, 0x8014dce6, 0x040631d5, 0xe19db19f, 0xbfe9e4b3, 0x688b6408, 0x6153f2aa, 0x1c0ebc04,
+    0x51cddd23, 0x5230227d, 0x83368b87, 0x56912b6f, 0x91e2f7aa, 0xb300081c, 0x818e8ddd, 0x17ad6adc,
+    0xde510fde, 0x7b3b7394, 0x0d8113e2, 0x75643e0a, 0xd17708e8, 0xd82de927, 0x750193c3, 0xe8e62416,
+    0x931e220b, 0xe7f8911a, 0xb57ae3b7, 0xff778266, 0xe3102205, 0xd222b14a, 0x63895c54, 0x638abefd,
+    0x2b8e696c, 0x4a204cbe, 0x9fdfc4e5, 0x1daca8fa, 0xdbec9128, 0xbea29e67, 0xaf30d969, 0xdc909589,
+    0x9ea9575c, 0xe3ce7400, 0x51e98a78, 0x08d436a0, 0xe2ac76c5, 0xf3a4aa78, 0x3c925185, 0x5541bf83,
+    0xc6601403, 0xa240eb2e, 0x64a36e98, 0xbfa0fab8, 0xaddb0072, 0x019d80ed, 0x4c61d0a0, 0x96d184a9,
+    0xbad5676f, 0x0775c20c, 0x9b2b4737, 0x21404519, 0x748744d9, 0xf86754b9, 0x1af21c9b, 0x3a0ccff4,
+    0xe31792a2, 0x83e4659e, 0xd7b5c0c3, 0xdb14e9e4, 0x3198123d, 0x409d6f0c, 0x3c293cc5, 0xc387033a,
+    0x8d0af0cb, 0x588079f2, 0xf11d0c68, 0xfa386d0a, 0x44c50ee1, 0xf4ff9d2c, 0x6b550358, 0x9b001e72,
+    0x7c41ec5a, 0x1fc7f103, 0x31b66934, 0x5e7e6377, 0x028ebfdd, 0xe8682d57, 0xf9d3abca, 0x9d293029,
+    0x00000000,
+    0x00d49a77, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000004194304 */
+  { 0x00000000,
+    0x6008ce66, 0x43010056, 0x5b23fc23, 0xf716e30f, 0xa9f393a4, 0x1b2733d1, 0x0d0b312f, 0x7489cb43,
+    0x224ad0bd, 0x31f2de78, 0x930bdae6, 0xbb725d97, 0x7e18d1a6, 0x6d411fe9, 0xfff234e8, 0x952896b9,
+    0xdebbe054, 0xf8b1ff43, 0xe2ac7426, 0xf26ee6b4, 0x7dbcfa68, 0x513d715a, 0x9b9a5b94, 0xf9415648,
+    0xf7017260, 0x296434b1, 0x507de3ec, 0xf32305f4, 0x28b66133, 0xb46922dd, 0x83530267, 0x122395be,
+    0x7a58e0d2, 0x9ba0a361, 0x7b2477ca, 0xe5fbad70, 0x64bdbd41, 0x46969486, 0x08d77e7b, 0x3c131ffb,
+    0x9bb58bb1, 0xdc86aca1, 0x16d6e3e9, 0x68521ea1, 0xb53d76d9, 0x968c4215, 0x18b4ed2e, 0x2b3568ae,
+    0x99b435ec, 0xcd411eb3, 0xc086da10, 0xaee1c1d2, 0x68a0abd0, 0xd3565006, 0xcf894346, 0xd10a369c,
+    0x558ff692, 0xc933dfa9, 0x00d77be7, 0xe7ea4f90, 0x176964ae, 0x0bb113da, 0x96b621cc, 0x70ec49d2,
+    0x0417f47b, 0xaf6af179, 0xd66d0cb1, 0x2c7827a6, 0xed7303ea, 0x9b3c5497, 0x2ce23ac8, 0x57d49b8c,
+    0x7b2ffac4, 0xe180d381, 0x1104eedd, 0x2e1d24a4, 0x750ea6d7, 0x89d7e8ba, 0x3491d685, 0x17c2dd78,
+    0x9d1364fd, 0xbcb61e3e, 0x87889ec4, 0xe105c471, 0xafce8958, 0xf30c983c, 0xa4d150d8, 0x71528c84,
+    0xd162217b, 0x43b1b814, 0x47462688, 0xd0c97885, 0x4d6bce85, 0xcbf427de, 0x82939611, 0x22c3a09c,
+    0x0d9639e3, 0x10ddb61a, 0xe5331882, 0x83fd3e67, 0x82f204c5, 0x769b42f9, 0x2f70b449, 0xbdfbcfb7,
+    0xde470e04, 0xb7584957, 0x6b42a14b, 0xd1783023, 0x44dc7dce, 0x13591a98, 0x64754b33, 0x5052c01a,
+    0x4a77cb9e, 0x56bcc741, 0x828807f5, 0xb771662a, 0x149ac3bf, 0xba33563f, 0x4495c4e1, 0x1ae0d32d,
+    0xfab3c231, 0x87cd5c19, 0x018a8024, 0xdc22c085, 0x5908cb63, 0x5f5d3ee5, 0x38634439, 0xe44308be,
+    0xde6cb3d4, 0x6eb98fc5, 0x40fdf52b, 0x79ac12e5, 0x427e0ff4, 0x93609168, 0x1d3397d9, 0x9ff222a2,
+    0xc1387ff5, 0x5079af7d, 0x16248105, 0x8590c80e, 0xe6c7af66, 0x99365fef, 0xa8196ece, 0xbe78155d,
+    0xf47c49f1, 0xa3468303, 0x3c7d25e6, 0x5613343f, 0x8c886cf6, 0x4c576cfd, 0x85e01908, 0x3e15271b,
+    0x48269f3a, 0xd626d158, 0xe1d47e52, 0xfe4d31d3, 0x2bc5972f, 0xba1d44e2, 0x8b8a8060, 0x176c1599,
+    0x91e4d7d0, 0x3e83bf8a, 0xea63c08e, 0x86eaf841, 0x7e2c3f6b, 0x5659d476, 0x393e94d0, 0xa1fd5842,
+    0xed21d3b5, 0x6e8184cc, 0x3c79b0be, 0x1a1e9acf, 0x5f54a4f1, 0xc03ed079, 0x9d54d494, 0x6aeb70a7,
+    0x9c203e19, 0x7e691bf2, 0x140ed3ca, 0x8319ba2a, 0x38163c41, 0xe2da40b1, 0x885775b3, 0xfba97188,
+    0xce075a72, 0x19ed46e0, 0x72c6fca9, 0x58840611, 0x32c91892, 0x75123a13, 0x5d2c820a, 0x42898268,
+    0xa44ebccd, 0xffdd4329, 0xd0ca6e94, 0x0d5b763b, 0xe79206e8, 0x98e807c4, 0xe86d2181, 0x1947b2c9,
+    0x49eeddfd, 0xdcb2bdcc, 0x4e87bf0f, 0x0ded99cf, 0xc1800dc6, 0xbe91c385, 0x993821d0, 0xf8252c13,
+    0xb02e6ca9, 0xd3192c42, 0xfdcd0a55, 0x569c04fb, 0xa0b2400b, 0xba7de1c1, 0x3b6a9e05, 0x344b6dc2,
+    0x18cfece2, 0x3f3a2efd, 0x76eb871b, 0xce17ffb4, 0x5b564451, 0x977ae1e7, 0x75f5e92f, 0xd5f43d96,
+    0x53a97306, 0xedd1998d, 0xf10e4dd1, 0x1baa773e, 0xe50221f4, 0xb3131a3a, 0xe68f74e0, 0x74080ce4,
+    0x840c60c3, 0x05eb238d, 0x8e40db2f, 0x7a25dfd3, 0x94e04a91, 0xc827c3ac, 0x978a5625, 0x26af9cea,
+    0x70cdf6ef, 0x7fb3e9cd, 0x52e9579a, 0x202973e0, 0x80600e67, 0x381c931c, 0x9a655390, 0x941d5f28,
+    0x405e0457, 0x1b5cb3c6, 0xe4b44018, 0x5d4e095f, 0x3a82ce08, 0x0db68fba, 0x49062ec2, 0x6596b814,
+    0x1c0fa120, 0x961130dd, 0x68f53d4e, 0xcc7cac60, 0x804b77b0, 0x20e70755, 0xcb56fb42, 0x3972e7fe,
+    0x02dbe35c, 0x827db125, 0x64625d13, 0xfd93ff4f, 0xe7b28ed2, 0x6e30d499, 0xd39819c6, 0x8fc9d383,
+    0x4ac3e3f7, 0x4549faec, 0xd08bd31f, 0x9974bfe9, 0x0ebb9ac9, 0x35499436, 0x184bad78, 0x89861a38,
+    0x15023a5d, 0x391ef90c, 0x852af104, 0xe6ccbab0, 0xa31a03f6, 0x800e5b21, 0x088c2fe3, 0xe968c031,
+    0x6d60ab17, 0x7ac9f11e, 0xd10bc4aa, 0xb2758ef4, 0x0f0115ce, 0x706d33a5, 0xd5b25c48, 0xfddb2435,
+    0x20f03ecd, 0x37ce0bdb, 0xad6bd91d, 0x98e24740, 0x9c59e561, 0xe64d164f, 0x1c7e2982, 0x5433b074,
+    0xa915c8d0, 0x8401fbf3, 0x02545ea4, 0xb3fca435, 0x75b048e4, 0x595720b1, 0x65a7a5da, 0xa6276d64,
+    0x5a3b2073, 0x1e85cd9c, 0x9b3c2480, 0xb067a81c, 0x9ad74ed1, 0x714b3a5c, 0xca92793b, 0x72515c37,
+    0x8d8cb946, 0x3a84151a, 0x31f10097, 0xb11e72c3, 0xab3c0c43, 0x5514a401, 0x5e680583, 0x4d26eeb3,
+    0xaf87f41e, 0x2b226276, 0xec1c47c7, 0xe208e771, 0xfae8b264, 0x9d69bb2e, 0x864431dd, 0x67c2724d,
+    0xd9f4e6ae, 0x793b3c98, 0xe7fd1a5d, 0x38d19373, 0x198d7049, 0x7b99bc10, 0x74a30c82, 0xf16c5e72,
+    0xdfe04ee4, 0x7a7712f3, 0xeb2cfe13, 0x103ee14e, 0x0fbfe1e2, 0xa50ea4cd, 0xf9311395, 0xa43ffa19,
+    0x7cae0757, 0xd0671e3e, 0xf5016906, 0xa2b2c585, 0xf9fb7111, 0x0df2551d, 0xb26903e8, 0xd4d85ab9,
+    0x81f1c2b5, 0xe6a4df1c, 0xafc295f0, 0x287f3463, 0xa21dcda1, 0xac89a705, 0xef4461c8, 0x529463b3,
+    0x907939ee, 0x68c513fa, 0x050d7c75, 0xf88c7f0e, 0xa6df6100, 0x024b2162, 0x3f590adc, 0xbf002416,
+    0xb7dd1c44, 0xaaa1645f, 0x09204f80, 0xb717aa6d, 0xbfb2f72d, 0x95447b2e, 0xa27ca674, 0x14500c83,
+    0xede0c220, 0xb3014999, 0x4e7d172c, 0x34203ae0, 0x94bd3057, 0x6ad79af8, 0xbaeb82b2, 0x3739b280,
+    0x85cd55b1, 0x5381aa99, 0x235c23a8, 0x30bf9a40, 0x8af4dda8, 0x12d11c0d, 0xa2208488, 0x6ab50d12,
+    0x6484c5d5, 0xb6d9eaf6, 0x1c5fa6eb, 0x344bc446, 0x2bf53d32, 0x41cc0fce, 0xaee0f06f, 0x046613d3,
+    0x5f01566e, 0xecadd14c, 0x046ed799, 0x7a44eb1d, 0xdecc7571, 0x61fb603d, 0x5d981f08, 0xf7d3341c,
+    0x3d54acae, 0xc9ad4030, 0x0637ac96, 0xeebad30c, 0xcae67b91, 0xaebc9849, 0x043f122f, 0x0a8ad11b,
+    0x6d407cac, 0x385613f6, 0x562b14fc, 0x527cc553, 0x13f41890, 0xd2acc601, 0x9a752cb8, 0x52f89451,
+    0x7cbf208b, 0x49955961, 0xc43e04e6, 0x87ff60c8, 0xa71fe2ec, 0x0e1bd04c, 0xcdc22c55, 0xc83ae0a7,
+    0x4cf37560, 0xa8b54600, 0x3f1c0cfe, 0x6add623c, 0xacee4dd8, 0x98c138ea, 0x07e7bcae, 0xf216496d,
+    0x8b606c26, 0x6a9889f7, 0x9f8f02f2, 0xa7bd217a, 0x2afe6edb, 0x89f13c2c, 0x4ea94d23, 0x0dbcb15d,
+    0xc25b4b4a, 0x45fabe32, 0x1211ccd0, 0xfcd1ba83, 0xff906f73, 0x37fd27b8, 0xdcafb409, 0x3cf3492a,
+    0x3ed109a1, 0x2ca10d0a, 0x2942f315, 0x3797573d, 0x28fdcd5c, 0xbc292b2e, 0x509c1a12, 0x9a4ceaca,
+    0xa36ca82f, 0x16b0e514, 0xcf1b0c66, 0x1e2b37fa, 0x489d1a9c, 0x706b35bb, 0x232c63e7, 0x2a40977a,
+    0x13250ded, 0xa1c30660, 0x2c5f95b3, 0xf5303333, 0x29177f6a, 0x28a31246, 0x84f6522e, 0xcf555c7f,
+    0xf13f31ae, 0xd03df2a0, 0x5c539357, 0x98b8d222, 0xb83b695f, 0x897a8bd5, 0x4d6f530b, 0x52a1c676,
+    0x6289dd07, 0x329b3425, 0xd507590a, 0x3509634a, 0xa06ebcba, 0x99423402, 0x8101756b, 0x59b0f8c8,
+    0x1d382e90, 0x8e5e1b71, 0x4a14a744, 0x282a37da, 0x530175c3, 0xf435ec47, 0x7385f35a, 0xc7d1145b,
+    0xfd2b8167, 0xcd180f2e, 0x8c415f69, 0x479e0e70, 0x57424ad8, 0x5714767a, 0xa6cb094a, 0xf61cd1e4,
+    0xb76d2820, 0x93e333e6, 0xcd5c5cbd, 0x6ab0f520, 0xb346996f, 0x827aeefe, 0x6f3a9771, 0x9cd96d72,
+    0x77e1771a, 0x27f4e16b, 0xad110e53, 0x9d1b3cda, 0x48caa0f1, 0x405f06e5, 0x27e8ccdb, 0xf702d098,
+    0xf8df3a63, 0x9f2f737e, 0xdef73ef6, 0x1a1504fb, 0x51566c3c, 0x5b3bb958, 0x3240837d, 0x432bd74f,
+    0x4af2760c, 0x2f1984df, 0xa8e78090, 0x5e0ca77f, 0x83c812e8, 0x2d78bf06, 0x6fff8576, 0x6c4a9f7f,
+    0x0d1cdbb0, 0x7192ce8c, 0x7b7e0079, 0x47e0d48b, 0x5e736523, 0x587ec16f, 0xcc648c98, 0x6a559be8,
+    0xdc0b5b3d, 0x56a10c40, 0xb597874a, 0xc1c593f6, 0x49e5db84, 0xf51bdc06, 0xc6700679, 0x95dcbbc4,
+    0x646111e1, 0xa476cc10, 0x47386728, 0xb6427021, 0xa3d12860, 0x2d2c967d, 0xd1acf116, 0x49f4dd03,
+    0x0a48ea1e, 0x1cba81f7, 0xdfc67bc5, 0x99dffa01, 0xa0d2c23b, 0x7b198228, 0xf7b8e794, 0x18d8ee31,
+    0x1cda7a9e, 0x19b693d7, 0xf3b32656, 0xc4b386fd, 0x33c3b99d, 0xfa599196, 0xa73c3fca, 0xce400e84,
+    0x5da535e2, 0xdcbf3145, 0x7ba8d4d2, 0x86851aa4, 0x25237203, 0x26df19fe, 0x57035e8f, 0xd8e69f28,
+    0xd8a061e4, 0x8ecb1aba, 0x24676290, 0x890db784, 0x49cfafa2, 0x5155648e, 0xda5d82c9, 0x34dadb7f,
+    0x328f2426, 0x94424a0b, 0x822b6b30, 0xc26cb64c, 0xee2303da, 0x1dde26b9, 0xd4b9436f, 0xfc13e3e6,
+    0x00b36fb6, 0xd3954007, 0x3865c457, 0xaededa88, 0xb29296bb, 0xa4482132, 0xce1aa7f8, 0x093ee0cd,
+    0x22feaa20, 0x3e085ae7, 0x3ad243d3, 0x7d4794a7, 0xdee1f6f7, 0x1d1a3714, 0x63a93e4a, 0xf877e501,
+    0x1d806b80, 0x3402338a, 0xc24521e5, 0x8b0f5029, 0xb18fd836, 0xe4dfca00, 0xfa81c019, 0x9a328fb8,
+    0x27702b50, 0xcbab63fc, 0xe3695246, 0xaf9274bf, 0xda72b14f, 0x12fb80ac, 0xdff96d46, 0x403cc006,
+    0x5065e427, 0xeb6dbdda, 0x4035239b, 0x1a5c426b, 0x1a89d8c9, 0x4b2591f1, 0x55f0e69c, 0x86771278,
+    0x965ebaa9, 0x607a8a90, 0xc5c4f0cd, 0x95666602, 0x866a1cdd, 0x7e2a95a4, 0xc00543ef, 0x5ad05815,
+    0xe682663f, 0xff7ea959, 0x4ea58e11, 0x2556763b, 0x0ae00c29, 0x25eb9adc, 0x85b6ca00, 0x838f0e83,
+    0x42cea24e, 0x59cc6be1, 0x2b75d56d, 0xc19642ef, 0xdb45078d, 0x54ec71da, 0x110455b8, 0xb83d7229,
+    0xa30ea792, 0xf3e0754d, 0x95ef1db7, 0x159c3fc4, 0x73ea8e87, 0xe0bdc630, 0xf0ddd39c, 0x1282af21,
+    0x9aee5ad1, 0x4f204526, 0xb11e2e49, 0x7a7fb310, 0xf8781d62, 0xec1dcab7, 0xed4a97e7, 0x06b02256,
+    0xcfc443e3, 0x2ab3e226, 0x9d27bee6, 0x20719a5d, 0x05724aea, 0xdd6c27d7, 0x0704f1a4, 0xbced72fd,
+    0xd36540c0, 0xcb360b35, 0x768b5002, 0x556392bf, 0x2d467acc, 0xaf1f4bea, 0xa66cb48b, 0x3192f548,
+    0x1d5928bf, 0x13d7d474, 0x76976afd, 0xbaeb2227, 0x295bea79, 0xa23d6d0d, 0x62c1895b, 0x75497fc4,
+    0xe61da98a, 0x374081e6, 0xb952fde7, 0xab1d2e72, 0x61284242, 0x17bb7a01, 0xdbf4594a, 0x5df2e0cd,
+    0x2aea130c, 0xa5ad0e6c, 0x7553dba5, 0x7dd9f30a, 0x0a3c578f, 0x83e0a870, 0x064c7593, 0xd9c9cefa,
+    0x89032998, 0x89f0b0e8, 0xba073ca5, 0xe83141ad, 0x243c11f7, 0x5725e953, 0x2a39670f, 0x59fefb78,
+    0x1571ed93, 0x528ea182, 0x3bc7b691, 0x92529d84, 0xb2638be0, 0x3cf383f9, 0x1588a378, 0x0d7b9122,
+    0x08b1cd70, 0x41ad9520, 0x1f2ff2a1, 0xb6c8468a, 0x585cd71d, 0x3a37d098, 0x4412d274, 0x8272ed28,
+    0x710c95cc, 0x023123d4, 0xa5e76c55, 0x82a67b44, 0xc5c1c5fd, 0x5eac619f, 0x82ea386e, 0xcd9c4923,
+    0x043e8220, 0xc7f07d8e, 0x5ee39b01, 0x9ff5f624, 0x746f91de, 0x62a3af67, 0xc1ccb794, 0x90993af8,
+    0xb8d54ef7, 0x035730fe, 0xbfe8bb48, 0x6491cd6a, 0x1cad72f3, 0x60906ace, 0x0cb71a02, 0x4ea77a6e,
+    0x1900d237, 0x4358eb8a, 0x225522df, 0x166f1916, 0xb9c35680, 0x225dbeaf, 0x6efd380b, 0xc99a928a,
+    0x1057f78a, 0x40d9a5f5, 0x1d2c6679, 0x323c46d4, 0x153556f6, 0xb5ccaea1, 0x414c5ab0, 0x5f7d2547,
+    0x45952b96, 0x4da27b4b, 0x7048f95c, 0xd22136c6, 0x25016c57, 0x52f35461, 0x34a2b8ad, 0xf57612b9,
+    0x44a3b478, 0xeb9e7013, 0x39d08eea, 0xa6c200b4, 0xf3127df5, 0xc8609a6c, 0x33dc0b42, 0x0e9202e9,
+    0xccfa1161, 0x0b104416, 0x9ca31dce, 0x3a906cfc, 0xa01ef4b2, 0x89abca6a, 0x30c1c287, 0x6cfe444f,
+    0x3c0cf159, 0xdf33a049, 0xfeb03e5b, 0xa16a9667, 0x93f1da2f, 0xaf005468, 0xb1246119, 0x932d244c,
+    0x5129c13f, 0xfe1d5798, 0xf379beed, 0xa4f16bf5, 0xe7be31c4, 0xea513ec9, 0x238c198f, 0xcabbda34,
+    0xd7d8de9c, 0xca330bc0, 0xa1ee359b, 0xccabc293, 0x2a11733b, 0x8054734b, 0x46f1081e, 0x30cd2bd0,
+    0x0c7aa392, 0xec1a7c63, 0xd4e5b972, 0x115ba42d, 0x0b705e69, 0xbce029e1, 0x53b787cc, 0xf9d6b128,
+    0xedcb53b9, 0x6856a07d, 0x6c3a08c3, 0xc7ea380a, 0xe6c324b8, 0x048b4cdd, 0x25d0e6b6, 0xede8da38,
+    0xe90a07a9, 0x080e816f, 0x9008112b, 0x466f190f, 0x9b7e8a0b, 0xb8fbf99d, 0xd184468b, 0x5c0b538e,
+    0xdef28bb0, 0xf2e433dc, 0x7e8b3b09, 0x92c47254, 0xe6853643, 0x0244ebbf, 0x2a25d8f2, 0x13c93371,
+    0x96860ff3, 0x2b9293b7, 0x4ef02b4d, 0x8197d012, 0x00c85aa5, 0xe4b2b084, 0x771072e1, 0x525e4fb6,
+    0x308ffa32, 0x4dafea33, 0xefe49516, 0x2b06c6b7, 0x151efae7, 0x8ef678dc, 0xa857ee40, 0xaf115e2f,
+    0xfc56ec3b, 0xfc265fb6, 0xa3ff9d9c, 0xd82756f2, 0x53f2e7fb, 0xa383d593, 0x54dff73e, 0x49312d08,
+    0x4aa482e9, 0x45518b7d, 0x7d18a67c, 0x1536289c, 0xab41f6bc, 0xd6707250, 0x0ce13542, 0x832d2b51,
+    0xb003e098, 0x8b0b8837, 0xe96c10a2, 0x3c85e744, 0x7b14b7c4, 0xe87705c0, 0x4cccc017, 0xf7643798,
+    0xe2b3aa9b, 0x8186d81b, 0xb33cf380, 0x4699822d, 0x3b0aa1cf, 0xf13c414d, 0x1090f0a6, 0xbb0123cc,
+    0xea79ef5e, 0xb874a92e, 0x0a33f569, 0x97d6e0e0, 0x65e34fdc, 0x8ef47602, 0x6c1ce143, 0xb8f720b0,
+    0xd173d3e2, 0xbb904a74, 0x018a890d, 0x4116577c, 0xcdf623cc, 0x3569979c, 0x9000867c, 0x015c48b6,
+    0xeb56cdad, 0x01489261, 0xa07a4988, 0xc10a3498, 0x391c7066, 0xf51714da, 0xf12683f2, 0xefed00ab,
+    0xc8530241, 0x1c7522a9, 0x3bbd8e7f, 0xe8404ed3, 0xc8c8edbd, 0xa1f96647, 0x791e505a, 0xd4981ae5,
+    0x4661c7c8, 0xa7c8702f, 0x188f995f, 0xba016567, 0x666bc509, 0x364a4ab8, 0xabe567d9, 0x552ef832,
+    0x08d070ab, 0x95d7336a, 0xd98240ea, 0x187f6150, 0xe669dc3f, 0xd12f114c, 0x55424b42, 0xd9abb8bb,
+    0xa6fdb699, 0x9a0120b0, 0xa11b7eb2, 0xf5b68ae5, 0x7b4b5953, 0xda5b8d96, 0x7c419f00, 0x01c88d31,
+    0x72a1cf69, 0x092c61a8, 0xc2a1e0ca, 0xbf39af9e, 0xed6f386b, 0xdc079f00, 0x078dc70c, 0x7f38acc7,
+    0xad14d2e6, 0x59f471f1, 0x7c4b7a13, 0xe19d8726, 0xdb846df6, 0x88fcb770, 0x23707f60, 0x47f429b1,
+    0x342a13ac, 0xb3b65c47, 0x9d7b65fc, 0x6b770ccd, 0x212ebf2b, 0x078f5c33, 0xc84776a2, 0x8dd53e24,
+    0x00000000,
+    0x006a4d3b, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000002097152 */
+  { 0x00000000,
+    0xdcb9da8d, 0xf574f3c5, 0x489a2950, 0x7067ea4e, 0xb86ccb87, 0xcc08c53f, 0x90caa51c, 0x19737125,
+    0xa824af39, 0x7b915cbf, 0xc4976ef3, 0xba6ada51, 0x4dd1a430, 0x68d00e6b, 0xe7069771, 0x04bb9329,
+    0x6bac71bb, 0xccbb453e, 0xbd5563e7, 0x5cf240fb, 0x84b29fdc, 0xad759ab2, 0x54e61fe2, 0x4bd728a5,
+    0x35db8eaa, 0x4a053f1c, 0xe7536ba5, 0xc33af444, 0xfab07674, 0x4349ce54, 0xd5f75e69, 0xf3aa0258,
+    0xa6f6104e, 0x5789f8ee, 0xc2f6c439, 0x04d1d422, 0xcbdee0e2, 0x3d51cc90, 0xa12e0ac3, 0xdd6d7f36,
+    0x4d69f687, 0x5605f452, 0x9f369091, 0x5d57a1e3, 0xa86342bd, 0xc09d9722, 0x20fbbf63, 0x7e8a3ed4,
+    0x2ed0e3f1, 0x171e24df, 0xce501095, 0x8b1557c6, 0xc04a8f77, 0x085764ef, 0x8f9f327b, 0xd6577069,
+    0xbc3618be, 0x0fe83c00, 0x235c4cdd, 0xa3657dad, 0xc31add7c, 0xd6fcf1af, 0xbe115e94, 0x6a4fe0cb,
+    0x3fd05ecd, 0xd4389b65, 0x214720a7, 0x3de86770, 0xc86976fc, 0x7989cb3c, 0xd47e07fd, 0xa5234f6e,
+    0x5f6ee53d, 0x78eb28d5, 0xabd898a3, 0x6a8be474, 0x54b4c3ac, 0x5a5976b4, 0x907e1ae2, 0x62c0cbcd,
+    0x6212b7ca, 0xcd3fe618, 0x0b3b98c1, 0xc3c0f2c0, 0xcfec1184, 0xb3642e47, 0x01646865, 0xcd954337,
+    0x31e8f914, 0x926dc9a8, 0x6f9c3ab2, 0x620a9630, 0x8058f20d, 0xa29fa16e, 0x47dded51, 0xbe83756a,
+    0x11ddd639, 0x4830c1a6, 0x027f65c7, 0x8993081c, 0x0aca3109, 0x993e8692, 0xa1c5fcd7, 0x295fec66,
+    0x3dfec8dc, 0xe2b27e15, 0xeaa6a82e, 0x0ffa43e5, 0xe48eb8ad, 0x1f2c2c5c, 0xed37723f, 0xfd71c9df,
+    0xbed26489, 0xa66a20b6, 0xa68a6da6, 0x8a87b164, 0x98b9e269, 0x0df0820c, 0xbb747f4e, 0xd1fb711c,
+    0xa9ad5d97, 0x8dc01503, 0xb6a52a62, 0x1c8a89c9, 0x2ec92f13, 0x057bc600, 0x2e037cef, 0x2fdb2ef0,
+    0x6c7102df, 0xa8bc01e1, 0x837eff0b, 0x596315f1, 0xf93a4267, 0x03162afb, 0x9d3de8fe, 0xbd31287c,
+    0x97faf97e, 0x9e8efd11, 0x514801e8, 0xe60f427a, 0x1386b1ae, 0x35079b1b, 0x897ac774, 0xe82c2b78,
+    0x563330bd, 0x55902016, 0x45917e1f, 0xd28c57e9, 0xc2731bce, 0xe8211ab5, 0xfd3cae16, 0xd6db34a1,
+    0xe6b092e6, 0x6de03932, 0xe6f3770f, 0x241a0ada, 0xf9a73d5f, 0x4e8cca7a, 0xc19ab0fc, 0x904d2a30,
+    0xbe6ad194, 0x5cad1d3e, 0x1378b8fe, 0xbe5a96e1, 0xa0259e3e, 0xc9070b81, 0x8b2d0774, 0x64c16506,
+    0xe71086d4, 0x6bb6a0e6, 0x348a6c3f, 0xbd5cff37, 0x1805fab1, 0xcf912502, 0xe2d12ca1, 0x6c22c113,
+    0xb9e7c82e, 0xef01c971, 0x57796ce6, 0xf6884ac2, 0xa1c34a6f, 0x9537f4f4, 0x67ba41fe, 0xeeddd49c,
+    0xdb787d37, 0x856c41b1, 0xc15ebb59, 0x823edc40, 0x0ab5c742, 0x3152689d, 0x053c6840, 0x1184b673,
+    0x71887e44, 0xd4a27e5f, 0x9e388d84, 0xe2bbb822, 0xae1b021f, 0xb9e7cc9f, 0x5ee9e7af, 0x042935f9,
+    0x42a3dc3e, 0x21d2d5f1, 0xeb3b4b73, 0x54ddba6b, 0x162f2bfb, 0x23c60df3, 0x2bea5097, 0x7ff019e0,
+    0xff52e9bd, 0xd01ef693, 0xbd04875e, 0xbf428233, 0xa80a0748, 0x36cd204c, 0xc6ce2f57, 0xafd389b6,
+    0xf1b9c4cd, 0x41bb9d3c, 0x4af571f0, 0xad3696af, 0x36362939, 0xa4c89f06, 0x20793e98, 0xd084bf56,
+    0x11738eb4, 0x9663b154, 0x1854c42b, 0x7500e58b, 0xa3d5ed6c, 0x232d56f2, 0x99833fc0, 0xa3374584,
+    0x674e0846, 0x518d0c39, 0xd4427815, 0xe740e51d, 0xbf4d5b21, 0x47c329ff, 0xac4b6615, 0x22b20a44,
+    0x859267b2, 0x47ede5af, 0x988e13bc, 0x89b79e53, 0xa9c9a160, 0x150dfa17, 0x15201cb0, 0x44261124,
+    0x31626b53, 0x579c49dd, 0x78370206, 0xff0de627, 0xfc5d26b4, 0x36a60cbf, 0xc75fc99f, 0x510b6ec6,
+    0x4a49c49b, 0xb197b2ff, 0xe50bebd6, 0xff6fb50b, 0xb4cf79f5, 0x736b162b, 0x83c8a437, 0x743c1333,
+    0x5fb42330, 0x8bf03604, 0x16318588, 0x8f5d4f10, 0xeaa81fca, 0x61878567, 0x7ca3b4fc, 0x11bee51d,
+    0xe4821d5b, 0xe4e10f3f, 0xfe1dddaf, 0x5b6b6f34, 0x80b58f72, 0x3123f94c, 0xdc896325, 0xa73012ed,
+    0x5f67834f, 0xbcf8c1b3, 0xe6b71676, 0xc53f0b19, 0x0e9ddd7e, 0x9193f1b4, 0xbcd97cf8, 0x8752ea9a,
+    0x634628c0, 0x33fb9d71, 0xa311275e, 0xb1a013d8, 0x3c5c0b5f, 0x2bb4aa14, 0xe9c811eb, 0xa0238a24,
+    0x0b099d48, 0x8855370c, 0x35f371b9, 0x15d7597a, 0xb7090d90, 0xd376f9b8, 0x17aa603c, 0xde1e1ab7,
+    0xcfb8bb1b, 0xff3af05f, 0x6a6df632, 0xda25b720, 0x02cecc95, 0xe5a04529, 0xbf599b54, 0x093654e2,
+    0xaef87626, 0xdc48b53c, 0xfa091219, 0x3e3e3793, 0x57b8e8af, 0x7429e0f4, 0xfc8908d5, 0xa6e798b7,
+    0x8cb1b0fb, 0x41a2fc00, 0xf1dec809, 0x1bb449b9, 0x86429fe2, 0x9e3a975a, 0xba6fdb5c, 0x4207776d,
+    0xd9839353, 0x6158ff0e, 0xd0ee071d, 0xcd30cf72, 0xad794309, 0x636f5791, 0xdc6de022, 0x643dbe6e,
+    0x6b90528f, 0x4713be3f, 0x529a88ca, 0x05a5017d, 0xdaacf56c, 0x09c5eb9c, 0xac03e8b5, 0x67015eaa,
+    0x864a29df, 0xec78d8c8, 0xb26608c2, 0xc8177be1, 0x3b9815b0, 0x1148b4a2, 0x6e425c40, 0xbd4724d8,
+    0xe6e67a30, 0xf76fc8b3, 0x17e36325, 0xb48ab453, 0xd61d29c6, 0xa9553e1c, 0xd2a07678, 0x7c056c19,
+    0xda5e783b, 0xfc91cfb1, 0xa1d3a511, 0xb3ff5cbe, 0xae6256e4, 0x81cf1db5, 0x8a22df78, 0xb131001a,
+    0xf8d22950, 0x0c1543f0, 0x5206a338, 0xe353d8f8, 0x1fa945fd, 0x3a5123d6, 0xacafb639, 0xd4e17f21,
+    0xb8530fd5, 0x4cd3e9cf, 0x008e3c00, 0xc4738dd9, 0x2ed6c3c7, 0x49678072, 0xec7be43d, 0x0a45614c,
+    0xbdba375a, 0xec64de65, 0x97a3dc34, 0x9dee040c, 0xb2fb8b34, 0x99fc716b, 0xfffd4f9d, 0xf10c0f4a,
+    0x94df5cc8, 0xed0647f6, 0x764b2afc, 0x06686d09, 0xdd909178, 0xd2d9fb3b, 0xfcac4305, 0x98eb86a5,
+    0xd44c6103, 0xe99899e2, 0xe69046ae, 0x990b64e0, 0xe46ecb82, 0xd559eb3a, 0xd39e355c, 0x81225e01,
+    0x17c700ef, 0x2c1d7e97, 0x1959127e, 0x7e38301d, 0xc57eb75c, 0x9d99e35e, 0xa8f66970, 0x63066495,
+    0x9fa053e8, 0xe4ba2381, 0xf3c155b7, 0xbe1ed3d2, 0x631b8cab, 0x817c98cb, 0x2146d69a, 0x4f484cde,
+    0x3eb4f83f, 0x04365388, 0x44b4fb83, 0xc0c96aa1, 0x8ffd231f, 0xc7460d52, 0x35e0c7d0, 0x06dc040b,
+    0x05378656, 0xab023a40, 0xda1d35ea, 0x9c9574a4, 0x8ec131af, 0x7027cabf, 0xc9bc7246, 0x6264201e,
+    0x33fbf5d2, 0x36a11026, 0xa7fea5bf, 0x0557f33f, 0x6ca05919, 0x7c9bbced, 0x228ef58d, 0x4b460a12,
+    0x09056e2d, 0x5e0fa417, 0x48962446, 0x1d7c35d2, 0xc59b4e57, 0xeacbc740, 0x30856f79, 0xd14c0dda,
+    0x1c07d4ab, 0x0a5af39e, 0x8f291b6b, 0x50907c5a, 0x0b10f5d0, 0x383a3ea8, 0x0936aeb5, 0xc3559001,
+    0x02581d7a, 0x171a7780, 0xb81337fe, 0x63c7f9e4, 0xd63ff3ba, 0xf9df8cf7, 0x90a19958, 0x6a5cc5f5,
+    0xedeee888, 0x61e12b0b, 0x88556d11, 0x8cee56d6, 0x10c09929, 0xadbec147, 0x567cdd83, 0x56398077,
+    0xffc2f553, 0x2143e642, 0x968c103e, 0xe0addf49, 0x8a7b5fc7, 0xf037b06b, 0x16dbcb09, 0x1cf72996,
+    0x6d5c3647, 0xffe44418, 0xff6aeeea, 0x42149d75, 0x396bedb2, 0x659477c1, 0xacb99813, 0xd1a5a3fc,
+    0x2d686167, 0xb1b7bec7, 0xac949e08, 0x10f53e10, 0xec17a6e8, 0xd0f0a4e0, 0x5845998d, 0x15b67397,
+    0xe033e3e4, 0xc7ae626e, 0xb0b1d337, 0x1318d390, 0x4bccea65, 0x675998f6, 0x53747d29, 0xe69dbe35,
+    0x0f4c020b, 0x07312d0a, 0x727d4a2f, 0x754bbed1, 0x86e29fd9, 0x89806324, 0x09699ade, 0xcdc18f8f,
+    0xe8bd3dc2, 0x7f7997fd, 0x2c4c35be, 0x0d5b7d0b, 0xc4dceb41, 0xb2f78ecc, 0xf60dc454, 0x76769b04,
+    0x6bcec666, 0x4f44bf5a, 0x44698b08, 0x7cc9eb8d, 0x1a29ff63, 0xc558fa4d, 0x2cb0dd48, 0xece223f3,
+    0xda97aca7, 0xa582b875, 0x5cf69b6e, 0x28a6e598, 0xffb8a664, 0x32d4376f, 0x609e4ff1, 0xce63448c,
+    0x1dccf66e, 0xcf68de2f, 0x8355fc98, 0x1d2bc7f4, 0x606e5388, 0x7cede5d4, 0x09814bbe, 0x52aff357,
+    0x092147ba, 0xd2d001cd, 0x1861ce48, 0x14f3a13c, 0x8aaba15f, 0x21a6225e, 0xa88b960d, 0x0d07c438,
+    0x1020fb2c, 0xbcd9b03a, 0xb8b79ddd, 0x95c10b67, 0xe9abc57b, 0x90da4418, 0x9a49b023, 0x1c3abd9e,
+    0x7ec60c11, 0x09b6804a, 0xc4727bc1, 0xd6ec4f72, 0x9646a4d8, 0x28b84ff7, 0xdb1d4ed1, 0x3aa1c7c0,
+    0x15fb5725, 0xda64d9f1, 0x64427ce3, 0x2050f20b, 0x9cbf46c6, 0x290c846f, 0xbae04ae2, 0x54af3823,
+    0x6a4e190b, 0xb72efb58, 0x834edd47, 0x55d4289e, 0xce7623ce, 0xa83cff34, 0xa76d7059, 0x2a2a1b63,
+    0x95a7a1ac, 0xf1b36c0a, 0xcddce8e4, 0x78ba2813, 0xe0903044, 0xf61f5fce, 0xd6d10b54, 0xf2bb464f,
+    0x6b58ea62, 0xc725aef4, 0x468a7c93, 0x2536748d, 0x9a9e6d26, 0x61e2e760, 0xb59e987a, 0xeec2be73,
+    0x0c37f7b6, 0x59e25aaf, 0xc9a40ce7, 0xa26842fe, 0xf1696ad3, 0xdb137a05, 0x91c37e3b, 0xe537c760,
+    0x20fcfea4, 0x89f45e5d, 0xde0f930c, 0x38160f30, 0xcdd251b0, 0x7dc22386, 0x6525aec2, 0x21ac3cc2,
+    0xebe20204, 0x0012d297, 0x9cc41b8b, 0x3e699857, 0x93bbed8c, 0x0fe36f89, 0x0bda327d, 0x42721b2b,
+    0x38a25fbe, 0x07d2507c, 0x23bdd8f8, 0xdfab5346, 0x1d870894, 0x6b4ebabd, 0x74ebea91, 0x3506ceca,
+    0xe57811d0, 0xb6523d22, 0xa54b3174, 0x6e2d535e, 0x36175900, 0x4b465c86, 0xb8e05299, 0x47e94714,
+    0x54bd02e9, 0x4147eccf, 0x79e9c96f, 0x27655502, 0xa6ab238c, 0x72db69de, 0x25db9a34, 0x684729ee,
+    0xae3cf829, 0x3afc32b7, 0xb1c91504, 0x109845a7, 0x7399f1ce, 0x48cf4def, 0x32808716, 0xacf93f73,
+    0xf4896996, 0x5c15dfa5, 0x787d41ca, 0xfedd3dc8, 0x8163feb8, 0x58157648, 0xbccd4af4, 0xe667e0cd,
+    0x2ca788fa, 0x780fd0ad, 0x53c7456e, 0x02990828, 0xf2bc5dca, 0x5eab388c, 0x8c349007, 0x9ffd99b8,
+    0x5c160632, 0x28975f44, 0x30bf3a40, 0xd721c707, 0xb81e3e2c, 0xf8a09f1d, 0xd8feead3, 0x015644de,
+    0xad74cdf1, 0xfbbf75e0, 0xfd4ab6d7, 0x79c8d7b3, 0xb268af83, 0x9bff7b85, 0x91a6af34, 0x3cc6c91e,
+    0xb4d098ad, 0x3ec52d53, 0x4e242180, 0x3ac5d82b, 0xcfef8e17, 0x81768503, 0x1fa46417, 0x035f4e15,
+    0xc068f712, 0x08f8d1e2, 0x2f5c18c2, 0x99fa5851, 0xcf76e6dc, 0xab6d4756, 0x6d89c264, 0x36e75859,
+    0x8a7bf2f2, 0x0d8285f9, 0x110681e8, 0x78556878, 0x47a10900, 0x2a79796e, 0xf7a2b831, 0xa7bcf170,
+    0x77211843, 0xf1500fd9, 0xefabbdb8, 0xb4823174, 0x94b1f3d3, 0xfbd6fea6, 0x9690277e, 0xd42c092c,
+    0x950d78c2, 0x42267a6b, 0xc9372587, 0xd16040b5, 0xcdba066a, 0xf4cca1e4, 0x1fd25ff4, 0x19d5d997,
+    0xb6443460, 0xebd5e618, 0xa01c0d52, 0x38f47831, 0x34f46901, 0x1b209ec6, 0x2bc8e5cc, 0xc863ef33,
+    0xe6a7cbb4, 0x6cb0e29b, 0xb35e0f16, 0x288bff03, 0x86e081fa, 0x47c65838, 0x9a35ec52, 0x02cbea76,
+    0x57cb2a66, 0x79040475, 0x1fb65e27, 0x6c1efdb5, 0x4a42163b, 0xd657d6d6, 0x64f21534, 0xeded0adb,
+    0x44fe720c, 0xdba3d206, 0xc53c15a2, 0x54d7cb8c, 0x06d79060, 0xd22b9309, 0x9bba156b, 0x99afcb5b,
+    0x698c694e, 0xd26f70e4, 0x37a4ad44, 0x1f12d386, 0x58114ae5, 0xa28a0bfa, 0x70d52b85, 0xc25ba92b,
+    0xc0dade08, 0xf11035da, 0xb226e1d6, 0x702ba1b9, 0x2b5ee24c, 0xf69591a3, 0xb944bbac, 0x4c06804d,
+    0x1bb97b8e, 0xb22c4810, 0xed224880, 0xb3854a17, 0x3a64e126, 0x6cf19b4e, 0xdd280999, 0x7c3c5fb8,
+    0x777edc4c, 0xddc62e3d, 0x0fdc83e1, 0x67714b2b, 0x88b99584, 0xc35c5e2e, 0x83d2db31, 0x9738cebf,
+    0x2be5d71e, 0xe4cbb8da, 0x8c4f035d, 0x5f76409a, 0xcc2ab9aa, 0xc938c0de, 0xee3de02f, 0xda28da09,
+    0x8b405d08, 0xac187c48, 0xa6ff4d8b, 0x176ee516, 0xccab9939, 0x52aedfaf, 0x30c438e5, 0x9e86eb7a,
+    0x71df8c15, 0x38c3a0bc, 0x14fb6a51, 0xcd670d69, 0x2dd554d4, 0x0810c455, 0x3b5254ef, 0x0c7d4537,
+    0x64011c9d, 0x67bd874a, 0xc0e299a6, 0xdaca6551, 0x3515491d, 0x797e4b88, 0x4d79a1e7, 0x0a9d17a9,
+    0x4bff07ca, 0x94c52545, 0xf37603c7, 0x25300450, 0xd53cbb4f, 0xae477b2e, 0xcb42d903, 0x3099c5e8,
+    0x038100cd, 0x66cfe211, 0x8584c724, 0x35150978, 0x65cb681c, 0x28ccc34a, 0xbb8e5210, 0x4e049eff,
+    0x800c8373, 0xa2e960d4, 0x9afa7091, 0xbd650440, 0x7fe37131, 0x58e359f4, 0x23030358, 0xf6737eba,
+    0x9e71f63b, 0x4cce944d, 0x14d077de, 0x520bd111, 0x02790173, 0xfb54bfd9, 0x734b9d95, 0x6d90ebf9,
+    0x87433798, 0x94c843b5, 0x64867a92, 0xd7c23e8f, 0xf00a8e97, 0x72efe858, 0xb8ef0241, 0x10ef8c30,
+    0xef10cffa, 0x46f283b0, 0x779def1b, 0x3c8284cf, 0x7f488abf, 0x71d3199e, 0x40289796, 0xdc248de3,
+    0x5dbcc090, 0xab7cf164, 0x4b32b6d5, 0xdf158c12, 0xb2c6ddb5, 0x3807dc13, 0xfe13576d, 0xdd63d7b6,
+    0x9a20f61c, 0x79f00d6c, 0x302d9006, 0x4a4c7247, 0x2d319360, 0xd267910d, 0x5ca5b86b, 0x222a9ee4,
+    0xbf6688ee, 0xed373e7d, 0x30f8f94f, 0x6c60555a, 0x3ee755ec, 0x45b5a822, 0xb0c31daa, 0xdf886b03,
+    0x2c42f506, 0x07794859, 0x9ecdfc3e, 0xa3e1b9cd, 0xb80209b9, 0xc66d8a89, 0x97b43742, 0x6f82c5df,
+    0x0f36848d, 0x13496f83, 0xba1e08b7, 0xf202f07e, 0xcd267c48, 0x3717dc72, 0xe9316e2f, 0xe51cf1b5,
+    0xff0efb2b, 0x2d13bef9, 0xeae334ce, 0x69026f70, 0xef7879f6, 0xfa8ea38f, 0xe0e9beb2, 0x9b5fa119,
+    0xb47c8bf8, 0x74b22649, 0x3ffe74ed, 0xf9e50e10, 0x790cbed2, 0xc1a56c4e, 0xeaaf77d8, 0x3bb1d585,
+    0xcbd9e468, 0xeb63e2d9, 0xe9080428, 0x855806d4, 0x2d2ea386, 0x885bd48f, 0xfe11c056, 0x6b6c1eed,
+    0xf6a6a57c, 0xba304ec6, 0xe32031bc, 0x33d8350b, 0x08ee40b9, 0xcb20ce01, 0x6fb71a5f, 0xbc3a40c8,
+    0x11aaf23e, 0x1b9fefe8, 0xebf6ba6b, 0x75993dc8, 0x0dc62235, 0xb25d05f8, 0x98fc0b1e, 0x38f74291,
+    0x7410a9ae, 0x01bd4b96, 0x5789175e, 0x40187d47, 0x7225e216, 0xb70b1326, 0x6d42266c, 0x5bb89668,
+    0xabd9ed78, 0x3f2a3bce, 0x2b43d024, 0x36f3985b, 0x93c9c1a6, 0xa32aa7ad, 0xeb02df1c, 0x14479c23,
+    0xa0109385, 0x9abf265c, 0x46ec9fd1, 0xa00f600a, 0x606b6fd5, 0xd9c934f7, 0xe5aabe83, 0xc860b6a5,
+    0xf0dcf9ed, 0x93e3c928, 0xd036cb9c, 0xa1c025f6, 0x3de9f3c0, 0xa666d1a0, 0x1bc80ea0, 0x9df15f75,
+    0x6b9db55b, 0x0074c8e4, 0x526cae95, 0xe40df3c2, 0xc3c3e5d9, 0x6767b837, 0x846cf140, 0x0e41438b,
+    0xf75b0e54, 0x7e8105a1, 0x48277f26, 0xf3b04ad4, 0x2922cc45, 0x802f7541, 0x56458f50, 0x86bd34c2,
+    0x00000000,
+    0x0035269d, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000001048576 */
+  { 0x00000000,
+    0x542fd6b0, 0xceef3584, 0xbb7c2ccf, 0x5cf5cb18, 0xd926699a, 0x153f99f8, 0xade04cd7, 0x69213f2f,
+    0x0ecba9fa, 0xfca449b7, 0x349669e2, 0xcffb84ee, 0xd35d99c1, 0x3c497879, 0xdc6f8a72, 0xb8cd002e,
+    0x2653bb4d, 0x050986af, 0xf4534f25, 0x1a7155f2, 0x58162b85, 0xa700c889, 0xb0d050b9, 0x614e3a7d,
+    0x5db6da3d, 0xd4576dc8, 0x7ff881ed, 0xf6c7729d, 0x758f06c8, 0xa889bda0, 0x83c0c395, 0x9c9120d3,
+    0xc6aa8e75, 0x11774519, 0x9179852f, 0xdfa56cf6, 0xdc3b4c5e, 0x37581b35, 0x21d72422, 0xf726970d,
+    0xe4956489, 0xdf7ef3ae, 0x1d673111, 0x2f57461a, 0x44bd449d, 0xc8fb5b09, 0x5858ec7f, 0xe289e330,
+    0x27d96912, 0x661e6ddb, 0x8e72ab08, 0x4beab4c6, 0xada78882, 0xb5087e61, 0x37c0ae65, 0x63fef0ae,
+    0xad16a0c0, 0x36e1876b, 0x4846d863, 0x4928d99b, 0x059f2586, 0x641a3ef1, 0x55153274, 0xd7a40954,
+    0xd63bf12e, 0x69b3d99d, 0x5380bd60, 0x545033fa, 0xf022d1df, 0xe3e6cb1b, 0xd42c98b6, 0x3f6b212a,
+    0xae57b9bf, 0xa828cb80, 0xdc58c52b, 0x6f57f17d, 0x7533fb63, 0xf11abc72, 0x32771efe, 0x3988150d,
+    0x22731468, 0xa497769c, 0x41b96f48, 0xe1e40d03, 0xf6e4458c, 0xfa3d69da, 0x59f23dd1, 0x0237102c,
+    0x592ab391, 0xc4e795f5, 0x1db440bd, 0x6cd65938, 0x9ba7bec2, 0x3321a147, 0x6e331105, 0x5454920b,
+    0x3cc759a2, 0xd6141269, 0xb8638030, 0xbe818fb3, 0x65eed3c0, 0xf597d63f, 0xb216ab52, 0x8cb36a3c,
+    0xbb2ce6fa, 0x76a4b2b2, 0x949528d4, 0xa2954376, 0x13b9b985, 0xf265bf7f, 0xea4642a7, 0x4635ec92,
+    0x6c67c398, 0x66791bb9, 0xcaa96039, 0x81bc71e3, 0x0610f01e, 0xa52cd02d, 0x35318988, 0x80842810,
+    0x72b959e2, 0xe74b3f35, 0xc4626c8a, 0x544de2d6, 0x98421d0e, 0x7c53659a, 0xd5b2e7b5, 0xc20f847b,
+    0xa7618c84, 0xa91d35ca, 0x5c1c0d08, 0xc9006051, 0x44c271b4, 0xa55b626d, 0x61489b0c, 0x94850e82,
+    0x023d3967, 0xc4233af3, 0x3536f117, 0xef7dc40c, 0x51013b22, 0x201d878b, 0x624cb6bd, 0x68169231,
+    0x6e2c9a51, 0x8c88e5da, 0x6459c7b2, 0xba2e92c5, 0xbadd68e9, 0xbd8c31fe, 0x303194ce, 0x66cda17a,
+    0xeb190591, 0xf81dc4ac, 0xfba8ccc3, 0x399f5141, 0xd89529f9, 0x36b7e7bc, 0xad9bf0d1, 0x635f1ace,
+    0xebbb2d21, 0x86bc2c8c, 0xa236d717, 0x19a08b2f, 0x5c7e5bfa, 0x3d526a8c, 0x4cfdb1fa, 0x041e8d27,
+    0x9ccaff6e, 0x3feac30d, 0x93359982, 0xd6205097, 0x13b5629d, 0x4f10d0b4, 0x4e0ac398, 0x69475de7,
+    0xe1cddc14, 0x98d436d6, 0xdeab541c, 0xeac38d47, 0xc34ba139, 0xe6546589, 0x2a8bb808, 0x511cbbd4,
+    0x3642a0e9, 0x1abc0df5, 0x74fae938, 0xfbaec728, 0x522bedff, 0x8d1adbb5, 0xf91900ee, 0xd3c1563f,
+    0x2d03e623, 0x8e13e3f2, 0x2a7cb52c, 0x3438092c, 0xfd070e27, 0x4005449c, 0x908adb8d, 0x2245b0b8,
+    0x03eee367, 0xc387664f, 0x8ef274c0, 0x49a4c8dd, 0x9828a453, 0x3adc7ab7, 0xa5713f02, 0x3837240b,
+    0xc2da9633, 0xb435fb10, 0x5689ddcb, 0x68df9319, 0xf11c5c64, 0xe66d5d5a, 0x76b6a283, 0x1ec6a0b8,
+    0x20420d9d, 0x4c1ecd81, 0x6ad39e80, 0x1d08b855, 0xb3aaf22f, 0x8568151b, 0x29feaa78, 0x6bc594c7,
+    0xa6916324, 0xb4b64a4d, 0x55069878, 0xe005be0e, 0xf0ebf9e8, 0xb1a65518, 0x7ac38dd2, 0xa053b3e7,
+    0xd427ba54, 0xf792b172, 0x4679f120, 0x1bd5acfe, 0x355b1d3a, 0x7b514a47, 0x174c9a6c, 0xc79021c7,
+    0x26872ec0, 0xfddc66c3, 0x5ce30eb4, 0x8c081f43, 0xfc9889b1, 0x7ad48360, 0xaefe0697, 0x02f836fa,
+    0xd1375099, 0xaa036749, 0xd9b81564, 0x009e9a58, 0xf31e70b0, 0x93eb16c9, 0x42e9723f, 0x9b503c09,
+    0xe0f0e30b, 0xcaad64fa, 0x432f65ce, 0xa7b0061b, 0x8ec60d3a, 0x942089f2, 0x5134f543, 0x544147fa,
+    0xfc8e4cd8, 0x9391ff66, 0x75cfcf58, 0xab4a3cfb, 0xd428e5cd, 0x2b506ef4, 0xb977fa42, 0xa9b1d6ec,
+    0x518920cf, 0x820a9e7b, 0x3771a739, 0xd2b7f45b, 0x068c6b5d, 0x93afcf6d, 0x02cb4e50, 0xc7b3eada,
+    0x737768e7, 0x6a1e975b, 0xe4af2d4b, 0xd6f50262, 0x34715626, 0x81573c71, 0x6fbce62e, 0x3ff87933,
+    0xac328e7c, 0x119df27c, 0xd32da766, 0xf59e6660, 0x9597a376, 0xdad10e4c, 0x9a7eba66, 0xf303b183,
+    0x51d66ae5, 0xfd26b78d, 0x6bb87257, 0x467aed88, 0x61bbf913, 0xf879a6bf, 0x898f2ea7, 0x2214e2a4,
+    0xe3fcb5ac, 0x16df74ab, 0x11a2fc0d, 0x8de716f3, 0x55592ff5, 0xcadccd93, 0xac024fef, 0x6c676a34,
+    0x5e020572, 0xa462a77d, 0x52c76007, 0x82e74e70, 0x07b57cce, 0xf9453c30, 0x3de006be, 0x888ffcb4,
+    0xad1b18d8, 0xf1ee9745, 0x2ce478d7, 0x17e0b707, 0x38ae2621, 0x8d74839e, 0x8f68f21a, 0x3b9a4546,
+    0x944a6fb2, 0x663189f9, 0x9dd2223c, 0x7c0f9d17, 0x6eb45c38, 0xe89189a8, 0x1b8f74f9, 0x1f23a646,
+    0xe3ee42b8, 0x822330af, 0xb07d4c4f, 0x19f481c4, 0x94bf32dc, 0xe4f76532, 0x811d98e0, 0x3e8ea671,
+    0xe1bea743, 0x3d4d4a73, 0x0b7eda49, 0xab96879c, 0x95d0ec64, 0x89c79f0b, 0xfbca8b5b, 0x56d903ae,
+    0x109bc977, 0x37547dc6, 0x4c0bdf23, 0x5fa2db33, 0x8f59ea0f, 0x7c7bb019, 0xda4ccb1d, 0x9a7a182a,
+    0x85504299, 0x0ecfcb41, 0x3d9276d8, 0x57d2c95e, 0xba069152, 0xca38a018, 0x5105de67, 0xcc13f283,
+    0x70944923, 0xa19d87e7, 0x3ecfac04, 0x4b44711b, 0x7acab48e, 0x39e56c0f, 0xc7bccb42, 0xf88f7a33,
+    0xc9683a26, 0x083908cb, 0x8d5d52c4, 0x01598deb, 0x38d00385, 0x77ed30f5, 0x04e634dc, 0x40582bb8,
+    0x35b3ed21, 0x42c34337, 0x5ff93bef, 0xe2bb9724, 0x47075bf0, 0x285867d0, 0x5a366fc8, 0x6e1da3e4,
+    0x6e721b08, 0x2289cfc3, 0x3b485f40, 0x4cb7d583, 0x04517e9f, 0x20aec4e6, 0x90e32f08, 0x33b97df7,
+    0xddfb8178, 0x56a0aac7, 0x337aa097, 0xede53656, 0x64a6ed70, 0xfe264c46, 0xc67df1d2, 0x596bd79d,
+    0x7bec1bca, 0x2101eb86, 0x30fd5c9b, 0xa9849f2d, 0x4fe3f92a, 0x321c5aba, 0x2de39ee5, 0xeea173fb,
+    0x18ae0c09, 0x18192076, 0xfb6df9b0, 0x2056f4ce, 0xe2b87d46, 0xea691834, 0xdffa4619, 0xa734058d,
+    0x25610fda, 0x2a2b8058, 0x05d00f15, 0x87117b7e, 0x546c50a4, 0xa8ddb84c, 0xcf052399, 0xa5e56fba,
+    0xdfb76854, 0x30323e61, 0x1922b30a, 0x170e672d, 0xb67a7bdd, 0x7d384068, 0xc8b5fc21, 0x66e22ca8,
+    0x8e2e596c, 0x74dfe141, 0x7adebdfe, 0x6641686a, 0x7f7438b5, 0xa67c18f8, 0xc93fb3c7, 0x7d516404,
+    0x67f12990, 0x49fd062c, 0x32402cc2, 0x2d0d0d6b, 0xd7d504e8, 0x6367efed, 0xc8f7fd13, 0xe5e90039,
+    0x960a24fa, 0x2fa80f08, 0xea299cb4, 0xd89e5703, 0xc98d4de4, 0xefcbd459, 0x4bb9867c, 0xf3186411,
+    0xe884ec06, 0x8cefed4e, 0x71750f31, 0xe6ccb2e4, 0xcbc82fd5, 0x7f20d9a4, 0x900f38b5, 0xd4f028b8,
+    0x2461ce23, 0x1770152a, 0x0473cfaf, 0xbd4acbb4, 0xbf23976f, 0x8c51c2fb, 0xdb6d67d2, 0x4be9bf87,
+    0x01c94282, 0x31607245, 0x98091170, 0xdf8fde8e, 0x8c438dbc, 0x20ad1639, 0x813723d6, 0x3dde6c8b,
+    0xbb614907, 0x554aa883, 0x703e56b5, 0x55be2721, 0xfe4e4328, 0xbaf65b6a, 0xab4cc8af, 0x47748e9f,
+    0xb25d0ce5, 0xbd1dbe4d, 0xddd00718, 0xc37acdbc, 0x5fa3a3e2, 0xaf8c66ba, 0x0576c4e3, 0xd012744b,
+    0x4f0e1c88, 0xafcca723, 0x35057786, 0xd6b77a4c, 0x2690ef13, 0xd4eb9c5e, 0x307a86d5, 0x6a2f1af4,
+    0xd990419b, 0xce29f2f8, 0x8cbdaab0, 0xe8ebdac8, 0x9c2a9bc3, 0xdddc1cbf, 0x07812b74, 0x73ab2ba7,
+    0x1f81be17, 0x4844cdda, 0x6af4261d, 0xce258b84, 0x8770529a, 0xadf48390, 0xce98ae93, 0x50d1a799,
+    0x656baef2, 0xd43d8f72, 0x4c378587, 0x835459f3, 0x3deae3bc, 0x337b7f8a, 0x94bf2e4d, 0x30604617,
+    0x2a77b8a0, 0x42176c62, 0xb69084f9, 0xab81bab5, 0x4a4b587d, 0x72ff6e53, 0x54eb294f, 0xc4ed1860,
+    0x9d44edd6, 0xdc9736c9, 0xe87ad03b, 0xec115644, 0x1433a2c2, 0x63a24e8b, 0x0b348b8a, 0xa844cbb5,
+    0x44fff1f4, 0xdb021a69, 0x413a9ec3, 0x34957d8f, 0xb433289c, 0xf16af8d1, 0x1c189aab, 0x65b3d8b2,
+    0x4549416e, 0x5fc61022, 0x197252a4, 0x0b883430, 0x1d7be513, 0x4712c022, 0xf7597c70, 0xda54f2c3,
+    0x9b1c47cd, 0x9c611d45, 0x278c2146, 0x0ee50811, 0x088bb4f4, 0xe3b84d41, 0x4e112d33, 0xf8f5ebc8,
+    0x70c35fc8, 0xdd5ea164, 0x4fb3c3e0, 0x7a2174cf, 0x4edd5998, 0x9910fcb6, 0xa0d59000, 0xf1185d28,
+    0x6506d966, 0xd6342750, 0xf661efb3, 0x0f1bf5ce, 0x8436b26f, 0xb34a03a1, 0x73d656c7, 0xeeccf459,
+    0x0b68445c, 0x8d40dc85, 0xca302835, 0xd2f77bb3, 0xced42bc8, 0x60b847d4, 0xa2467e9a, 0x1f6062b4,
+    0xe5e5ea49, 0xffba2e49, 0x9784aff8, 0x49aa92b5, 0x05781efb, 0x60e46c77, 0x67d911ee, 0x0c7bf931,
+    0x3ffa607a, 0x50b9c4dc, 0xa1f638a4, 0x73c0fc37, 0xffc1aacb, 0x4584512b, 0x9d2e4b29, 0x85a38afa,
+    0x8a884053, 0xb6f9395e, 0x2e12262b, 0xe99d0e54, 0x70542fce, 0x4a61bce5, 0xe43a299e, 0x26dc5711,
+    0x67d001f1, 0xaade47ae, 0x539ca916, 0x6a2554c1, 0x0f867091, 0x5138f89f, 0x4bd246e2, 0x2143e99d,
+    0x13cdb20c, 0x960f17ea, 0x4b5f9002, 0x22f8eed1, 0xf3ae2e88, 0x328861a2, 0x358b151f, 0x0165a4c2,
+    0x229e5134, 0x819fa6f7, 0x143c4eb5, 0xa970f285, 0xe576c753, 0x56709880, 0x503da8e0, 0xfcc7d5f5,
+    0x6c5d3f15, 0x77458aa1, 0x34f2327f, 0x8d9be4cf, 0x1cf315e4, 0xfa1745e2, 0xec4dc017, 0xc94fa9b2,
+    0x5e5b88f6, 0xc005ba92, 0x498a32cd, 0x8d6dcadb, 0x2fe584d6, 0x2c24f293, 0x5d268ac3, 0x88bb0977,
+    0x6691f06a, 0x211a6112, 0x40031165, 0x747637b7, 0x41f7c557, 0xe78080f0, 0xd350e115, 0x70934be8,
+    0xd6aa67aa, 0x1af5836a, 0xed6cc4d6, 0x773edb7c, 0x6a1d7158, 0x954ec2af, 0xc20de4eb, 0x7b5bb48e,
+    0xe769f2c0, 0xbc28aa2b, 0x77aa12e0, 0xddae2503, 0x5be65de7, 0x308ec85e, 0x21935e2a, 0xfb1779da,
+    0x525042ce, 0xbddd25f6, 0x848152a7, 0xcec7bcdb, 0x78bca5b1, 0x3d0fe923, 0x374038d1, 0x5fd03c39,
+    0xafd44e78, 0xc7414204, 0x749cadef, 0x23e021a0, 0xb7d80d74, 0xc59b2744, 0x14cff643, 0xb6bfd52b,
+    0x5d9bc9c1, 0xc340451f, 0xe7e351c9, 0xce91637c, 0x3cef955b, 0x8ffa372c, 0x871a88f0, 0x81615795,
+    0xba2cdbc2, 0x9e1c6c6e, 0x752cf29a, 0xcb0a7994, 0x6fa5ac8a, 0x66310789, 0x5a4ee2f0, 0x8bd2b283,
+    0x00e8aac2, 0x8cf3ec77, 0x6d553ae7, 0x4b2aa4b7, 0x18178108, 0xd115dfe0, 0x594a832a, 0xd8bb720f,
+    0x39b4f114, 0x4fa8bab3, 0xca3e1f28, 0xb6f2f504, 0xa232d193, 0x2224dc6e, 0x581ad20e, 0x8e6fd9e6,
+    0xdb1b5277, 0xd380b896, 0x9f5bb8af, 0x52c2f4c8, 0x02ecf5ff, 0x4528d1c2, 0xf09a5d4a, 0x927f3d90,
+    0x72158186, 0x7aa860eb, 0x1daed2d8, 0x15e43bb8, 0xb162aa76, 0x7dfadcf4, 0xd1f920a9, 0xc79a3e5d,
+    0x8a2f0724, 0xa43d052a, 0xbdfc86d7, 0x64f3e37a, 0x3c419972, 0x0e6aab3d, 0xcd1dc8ca, 0x73b98d6a,
+    0xfe0bd69a, 0xbc2cb1c8, 0x68543ffc, 0xae92cb1d, 0x191e7ea0, 0x85b7666c, 0xe44db762, 0xbfe18e79,
+    0xe59b2262, 0x35e6fc69, 0x73ee290e, 0x1c84a266, 0x248685cd, 0xc6ee22bb, 0x2c17f38e, 0xa360bba0,
+    0xf5e8ef9a, 0x76034d1e, 0x27ca7b18, 0x36bc2031, 0x82128e91, 0xbad90852, 0x32496c08, 0xaf41f18f,
+    0x642d9f57, 0x5b46e23e, 0x0925a02f, 0x6f038a91, 0xf3451764, 0x46431f21, 0x196c1606, 0xb2e48d5b,
+    0x9ffb6614, 0x2841e048, 0x34eeb524, 0xbf911000, 0xf29802f2, 0xe4efb507, 0xb9f42099, 0x8c626b15,
+    0xc821b617, 0x6f262800, 0x9d7d53f2, 0x51cea77b, 0xbe7d0667, 0x9c4c9e0c, 0x43798b9d, 0xd52a604b,
+    0xa810cf29, 0x128bf1eb, 0x1cef5a46, 0x0a89d11a, 0x76071d7b, 0xdbb2adca, 0x980974c5, 0x0d6ac36c,
+    0x08e53f9a, 0x5565c694, 0x7a0f9fe2, 0x39a6109f, 0xaa0f5aed, 0xc53638e7, 0x9a425998, 0xaf47b0bd,
+    0x1d89341a, 0x04e4a406, 0x38e516d5, 0xb2bc7055, 0x628e6cab, 0xa1b7f766, 0xc2aa2454, 0xb917e0ac,
+    0xda609452, 0xc6a11edb, 0x31b867e5, 0xc6e3f3a9, 0x88ad0184, 0x20476a42, 0xd352ad0b, 0xba0dc584,
+    0x1bce3ebe, 0xb1b4a13d, 0x03adfc52, 0x42bbaa44, 0xbd08beef, 0xcf5e6c8b, 0xd5ee80d1, 0xcf00366f,
+    0x7fc49970, 0x1b00fb76, 0x69c51665, 0xea46e346, 0x35e50368, 0x20b088aa, 0x61285823, 0xabf14ef5,
+    0x7f8e25dc, 0x80888bda, 0x22d7e192, 0x71daa0c9, 0x1119fd5d, 0x99d72d2c, 0x102a22a2, 0x103bf075,
+    0x20c7f336, 0xbff52978, 0xb520561b, 0xc0a86f15, 0x83730baf, 0xf89af567, 0x97801fdf, 0xcb705cf1,
+    0x38d2ae18, 0xff11581c, 0xd8ed94d8, 0x4ace3cbb, 0xd4f8c4f8, 0x3a13e8b5, 0xa4bc6343, 0x792e978c,
+    0xeae7cc67, 0x201f3150, 0xb4c7efb0, 0xa768a3f6, 0x97bf6698, 0x66ca1a91, 0xdf69777a, 0x2937754d,
+    0xe667526f, 0x1a2a0187, 0xce3809cd, 0xa6131bbe, 0x1fd651dd, 0xcf8d9e33, 0xf99120ce, 0x28c2c781,
+    0x115395da, 0x8e53a050, 0x4a8781a0, 0x594e5b71, 0x68ed1db7, 0xc32c0f42, 0x48aa8307, 0x28700464,
+    0xf78d8008, 0x959c61bd, 0x681f73dd, 0xc5ba17c2, 0xfb9df990, 0x3f6f662e, 0xa32d9e88, 0x0a4c345d,
+    0x0e0f4349, 0x700519dc, 0x908ed903, 0xacee1461, 0x8508e09a, 0x94ae7cc0, 0xf150092b, 0x4419fcf7,
+    0x10d9024b, 0x8bcd4bb5, 0xdf15bff1, 0x775601db, 0xb3a4435c, 0x0ec43cf2, 0xab3cdb2a, 0x692fa7f2,
+    0xd5f77edb, 0xf13c7228, 0x52c885a5, 0xee699db6, 0x415800db, 0x8d186708, 0x51bff1b7, 0xadedf9ac,
+    0x43b19f64, 0xb5aa9eec, 0x1d91c19c, 0xfb7610bf, 0xc327f36f, 0x4af818dd, 0x71f2fb2b, 0xeb30c3af,
+    0x9b6b8805, 0x0a42d01e, 0xe9ab0cea, 0xc94dd7f9, 0xb8a61fbe, 0x48d6d959, 0xa5536314, 0x2c81941d,
+    0x0b55029e, 0x58658a86, 0x10ccc0b0, 0x69d8759c, 0x2a944808, 0x07f01ae5, 0x2882f159, 0x7f4b7063,
+    0x5c32e6da, 0xa515c0ae, 0x1508430a, 0xda2a9ff8, 0xb8e8d664, 0xced3eec2, 0xc962e35f, 0xa47f1232,
+    0xa33292a2, 0xb714f685, 0xd5d35ba8, 0x3df3dba7, 0x752e7c36, 0xfd334a88, 0x698412f6, 0xfa67f169,
+    0xaec431fc, 0x76fdda4b, 0x7dca703e, 0x9b97d929, 0x193c7b84, 0x092a761f, 0x90b9df9b, 0x4e095f20,
+    0xfa46e94e, 0xda31ee8f, 0x5cb944f0, 0x4c511cea, 0xc7b858e2, 0xc71d6a88, 0xa1f03a55, 0xcf1a37e0,
+    0x63b1e4bb, 0xe34e191a, 0x2758db81, 0x3e81dd8c, 0xab1856ed, 0x68bc4862, 0x412496d1, 0x11aa6e24,
+    0xa6e2ff6c, 0x75dd3ccd, 0x30803234, 0x7c8bc2d9, 0xf5c3f7ea, 0x672f8d86, 0x24b7c316, 0x835389e3,
+    0x00000000,
+    0x001a934e, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000524288 */
+  { 0x00000000,
+    0x10bafc27, 0x197170d0, 0x93b6a833, 0x52e8a0d6, 0xd5fe93af, 0x2026bbb0, 0x746550f6, 0xd7f8c329,
+    0xc2de52a3, 0x020d5d69, 0xcc5faf60, 0xb284c474, 0x52d23502, 0x9bd5a42e, 0x0e4c118f, 0x70e3aafb,
+    0xfc628d8e, 0x45d28c26, 0xb478f5e8, 0xf94ba0e1, 0xf19fd333, 0xcbd0bc47, 0x5e724f56, 0xdb6b5b07,
+    0x37f5b62f, 0x277d58af, 0xf2d3ad9d, 0x0a98fe79, 0x509b7006, 0x312251b4, 0x2f99265a, 0x71c74061,
+    0x7d774237, 0xc8884fc8, 0x1b3baeab, 0x04a46b2a, 0xfd46be31, 0x50239827, 0x5776e462, 0xe4856932,
+    0x3f57b706, 0x78484b05, 0x5384a272, 0xe77bad6b, 0x81d7bbb3, 0x5efa9bd2, 0x1f33feb3, 0xb6b75bf8,
+    0xab98b576, 0xc9675a58, 0x05ec32f1, 0xb909ae1c, 0x09d75815, 0x8dbcbd22, 0xfc1f58bb, 0xec74a5d1,
+    0x63762109, 0x35fd9a5d, 0x97ae8a7c, 0xd0b3378f, 0xb48152ee, 0x78236117, 0x3f990111, 0xdb30ce09,
+    0x09334e44, 0xb1ef2650, 0x13f16782, 0x5423ec31, 0xd28fee30, 0xa6d1ef62, 0xa441fe33, 0xf780cdcf,
+    0x5df83b96, 0x5678db64, 0x0025a371, 0x761b06fd, 0xa7fe468d, 0xab09a923, 0x53156e47, 0xc5e1c763,
+    0x171d1a61, 0x33a4c1a9, 0x2a293fe3, 0x5a007ea3, 0x727011da, 0x9894a4b2, 0x2cab45b3, 0x136c35d6,
+    0xa0236b11, 0x993921b5, 0xd2959184, 0x298fa895, 0x61f71fe1, 0x8ea8339a, 0x6bd79a95, 0x7a9a429d,
+    0xe67de833, 0x71e6eeb3, 0xacc32e40, 0x2db77826, 0x6a450388, 0xcc6672ac, 0xf7fe3e2f, 0xf5ca9120,
+    0x3e50c266, 0xca9ae7ef, 0x63398d41, 0x0a420c9a, 0x537146d6, 0xafce4bfa, 0x1ddefbe1, 0x9f1c2050,
+    0x8a29bca3, 0xe3bca4b1, 0xaaff9ae1, 0xa964f542, 0x8c29c694, 0x66e62dce, 0xded5782c, 0xfdbbb3f9,
+    0x34661882, 0xb2c7655f, 0x212de0ba, 0xf04fc3aa, 0x85dee4e7, 0xe14c2726, 0x8cd65833, 0x6393ba1a,
+    0xf9ca14c1, 0x938c9cdf, 0x68d201d6, 0x3ea86c27, 0xfd35f746, 0x8ee5d0d3, 0x50588f3c, 0xb8d8bdb5,
+    0x1ae6d2f6, 0xd377d3f3, 0x7f38d870, 0x12438e9d, 0x00679a13, 0x2182481d, 0x48dd1a8e, 0xabaa2f97,
+    0xc9976974, 0xe1e42e37, 0x29fba39b, 0xac5e4a08, 0xc064fce1, 0x5e8e4c53, 0xd3f1a290, 0x6aa30820,
+    0x01e0ebf0, 0x596a16cd, 0xebd090ed, 0xd26847ac, 0x6eab78d6, 0x8215d256, 0x608eb89a, 0xa2be63ad,
+    0xe0c40c32, 0xa57a2c08, 0x5825c093, 0x957c818d, 0xcd953418, 0xfc4b1c2e, 0x50b6bd9e, 0x0906d828,
+    0x1b875c2c, 0x5fc90cb5, 0xd724d5c2, 0x9970398e, 0x7a9db5e7, 0x1d19c8c5, 0x42ed71b9, 0xa7ab00b1,
+    0x8a601289, 0xfea59908, 0xaa43e1d2, 0x8b072695, 0xd02357b4, 0xae787af4, 0xea069f8a, 0xf45fecec,
+    0xd3647b20, 0x4abca653, 0x4bc644e1, 0x94ccaa88, 0x2ca655cb, 0x17d3400b, 0x507a6a16, 0x90105867,
+    0x90f1037d, 0xc5c28822, 0x46f020e4, 0xc3201750, 0x2b3f9655, 0x1411a1dd, 0x4bc00ee8, 0xe9b1c23b,
+    0x0dff1b01, 0xfe0f6899, 0x6fb81944, 0xad393a35, 0x3eaec08c, 0x7ee3833b, 0xfdb148f3, 0x6cd30eef,
+    0x108815fa, 0x5a2d391d, 0x9443ffe9, 0x2856cb61, 0xc71b9392, 0x055cc82d, 0xc2a050ee, 0xe6c964b6,
+    0xfd02f68a, 0x801d65b0, 0x7f42524d, 0xdbaa425a, 0x7ee5dc3b, 0x6f959584, 0x31391b19, 0x14cc1c1c,
+    0x4dee3765, 0x5c8322ef, 0x7295c3e8, 0x65b0aecb, 0x0b35dcf5, 0x1397e989, 0x34e4b955, 0xa1d01e51,
+    0x70bae0f2, 0xcf1866dd, 0xe66b93b7, 0x4268d6b5, 0x72434b3d, 0xd611a883, 0x4ab1d11e, 0x560122f7,
+    0x3da91014, 0x7e4edb1e, 0x2b5e503f, 0x91d497ec, 0xbafe633f, 0xf8b47498, 0xac76c66c, 0xbbd55d9b,
+    0xa92ad922, 0x53a97c45, 0x55835bfd, 0xfbf037bc, 0xa3b9781a, 0x20e2a26a, 0xc710cfb5, 0x4e1f4913,
+    0x2827257e, 0x7956cd8e, 0xeaa15fbd, 0x3172022b, 0xdea9405b, 0x4ae0ceba, 0x9334c30c, 0x58cbef99,
+    0xffcacaa2, 0x17292355, 0x03663d55, 0x74364c77, 0xe1128b52, 0xa3e427d2, 0xbee228a5, 0x8244eae4,
+    0x3c4e9155, 0xbd0b9285, 0x56125c4e, 0x9ea35c72, 0x859130b1, 0xd9939fca, 0x5bf7c44e, 0xceac2b90,
+    0x56822b63, 0x275af716, 0x35ad36e0, 0xc2955246, 0x4c0da0c4, 0xffa0d648, 0x6a63d1e1, 0xc9ffc080,
+    0x8438987a, 0x0f2974a0, 0x7b1dba7c, 0x1f31f106, 0x9a6fe515, 0x6655dddc, 0xa1da805f, 0xc71ec5f5,
+    0xc9486c57, 0xbbfc8cbb, 0xadba19a8, 0x22852362, 0x3641aa2e, 0x5444de2d, 0xd3d2eefd, 0xea1de503,
+    0xae318526, 0xfa6462a5, 0xa6c3dc59, 0x30475e1f, 0xbae14487, 0xc21d88f5, 0x87327f9b, 0x6d244618,
+    0x939584a2, 0xf6610f77, 0x66bae23a, 0x43aedf80, 0x3ac7a357, 0xd60ef5b5, 0x1e5c9336, 0xf2d0f836,
+    0x4004d642, 0xf37aa345, 0xaaf53ee9, 0xb21ddb1a, 0xc74a55dd, 0x4dcf8f4d, 0x64eeeaa9, 0x067bc3ae,
+    0x567f2f3c, 0x7d2753b0, 0x48488508, 0xb2de506d, 0x2fa69b5f, 0x377b1c90, 0x6223d80e, 0xeae19a5d,
+    0x805e3fec, 0xd4b0f5df, 0xfb7de4aa, 0x59b7b694, 0xfaa4bc83, 0xd7c370cf, 0x27a4d098, 0x13c7b48b,
+    0x400e8207, 0x6b413583, 0xc1f35698, 0x451fbaad, 0x6b33009c, 0x3c189537, 0x1d79474f, 0xeee319f5,
+    0xa6262204, 0xeff0d82c, 0x2cb0f636, 0x3a3d5645, 0x2ae06c28, 0xd7e4c755, 0xeb8324fd, 0x4044b1c1,
+    0x9218ed91, 0x19c10e71, 0x450b3198, 0x611b8568, 0x1da54581, 0x930d152e, 0x357ff4c7, 0xd92ec752,
+    0xd90a5e16, 0xba3a71d1, 0x74b5d8f9, 0x1cbee04e, 0xc392d902, 0x889adf0b, 0x70aea438, 0xc75993af,
+    0x0ca110d9, 0x71eaaf1e, 0xb1e0641f, 0x48ff3769, 0x052649cd, 0x5d89e9b5, 0x487f2420, 0x57126beb,
+    0xe830977f, 0xb8ce0a4d, 0xcdfb329b, 0xfb6f4bb1, 0xeada1643, 0x394bf5a5, 0x606cba33, 0xdc67eec3,
+    0x9f1877a9, 0x551aef95, 0x4898a826, 0x6c146691, 0xec595052, 0x5c2a2b91, 0x38e19ca3, 0x26455185,
+    0x7e0375c5, 0x347e4fca, 0x1751527c, 0x9c37bd39, 0x60578c46, 0xb99e732e, 0x9d4a1f68, 0x91440156,
+    0x8e861042, 0x817273ec, 0x93d29d9e, 0xfc51ba8a, 0x1caab7a5, 0x7844e143, 0xe425efe9, 0x94f0163a,
+    0x5986e68f, 0x01fa1cd3, 0x47424ed3, 0x476729df, 0x37437fc1, 0xd267f142, 0xb0e168d8, 0x7bd9e0f0,
+    0x64c027d4, 0x6f855e13, 0xc57ac83a, 0xa679a663, 0x02f60bd0, 0xc8cf7d6e, 0x94dc5368, 0x8d27c602,
+    0x89a62758, 0xdc9f56da, 0x2840adb5, 0xa90c90d3, 0x5af7e0d9, 0x2d1ada20, 0x24637ee0, 0xeab204fa,
+    0x98e5ad9e, 0x838e645a, 0xddf3ff5e, 0xb7c17cd3, 0xc34af471, 0xc88b84f5, 0x469f723c, 0x20562898,
+    0x56d56e22, 0xaa1f6323, 0x56f1829b, 0x42d1c721, 0xd3a26e8a, 0xd0bb6c47, 0xd4210eeb, 0xf7177c5f,
+    0xbd6b03ce, 0x73159eb7, 0x80d88016, 0xfcd0cd27, 0x4f08dcbc, 0x66c172dc, 0x4daa9f34, 0xa17fd0a4,
+    0x24ffb726, 0xbaa1faf0, 0x063404c1, 0xb53e17ea, 0x35900962, 0xcfa43fc3, 0x6bee815f, 0x8d2549dd,
+    0x1c077784, 0xa40e29f7, 0x768fb6e5, 0x7fa62b7c, 0x71780a74, 0x5ac1d5a7, 0x04c5d2a7, 0xe1ae99f4,
+    0x3b62e4de, 0xf26a4901, 0x99e102bd, 0xdb9c1626, 0xd5c9b568, 0x31b1c405, 0x1d3bc600, 0xbc929242,
+    0x1a3b66c3, 0x1731c591, 0x4b8fd795, 0xec67c815, 0xe0eb248c, 0xd9611cee, 0xf00123c1, 0xe2f9a4b2,
+    0x3746c0be, 0x27c168ab, 0xcc8ef44c, 0xe13ccfff, 0x4b3436aa, 0x658a0e92, 0x409cb73d, 0xc506712c,
+    0x53516882, 0xc13c504f, 0xdd77cef6, 0x159c2f43, 0x5ba2492c, 0x20d19f84, 0xca962717, 0x153b4aa6,
+    0xe213516c, 0xdd1e34cf, 0x25cba46f, 0x59e83037, 0xffbff87f, 0x0c6a4f95, 0x269e3c9d, 0x2dc42c24,
+    0x30820979, 0x7e9c44d7, 0x5f20dcf4, 0x0fca4eac, 0xd020a236, 0xe9c72761, 0x09f9e7e7, 0xa915b937,
+    0x3f1581f8, 0xd5196709, 0xb5a5ebe6, 0xa36e77b0, 0x0c9fb993, 0x6213c852, 0xddcae31c, 0xe6fa8b2e,
+    0x39d2faca, 0x89e009ea, 0x71c6fd52, 0x85bde029, 0xc2f42055, 0xd9eebb8a, 0x1ccdf899, 0x907758d4,
+    0x3bdfc5a1, 0x4ee3e003, 0xc3ec9b0b, 0xced624ba, 0x324acb38, 0xffa55bb8, 0xa70083e9, 0x8eba11ec,
+    0x3fb8fcf9, 0x7b793fc5, 0xf8531570, 0x9fa2c5c0, 0xadd7f7a6, 0x5e5a2df2, 0xace4ad2d, 0x28a41d17,
+    0x3515bb62, 0x26730bde, 0x5b3c51af, 0xf302702b, 0x0d5039eb, 0x45db10a2, 0xca5b0f21, 0xedb0fe15,
+    0x3792b0be, 0x1f63dd53, 0x0367c017, 0x0bd8e653, 0x57c32430, 0xf4b53b98, 0xa9c0ab6a, 0x02175b01,
+    0x27bb01f1, 0x5c6968cb, 0xf61a115e, 0xc5e334e5, 0x18262a5b, 0x45eb65d9, 0x543bf0b2, 0xbc1c2681,
+    0xc5f5c36d, 0xb9c3de6c, 0xe91316ba, 0x313b0c03, 0x486cb7a5, 0xf0885862, 0x826d96b3, 0x5048c7ae,
+    0x1833f5bb, 0xfdee8382, 0x6ed8a75f, 0x379b9b85, 0x176e3eb8, 0x7ce666c9, 0x12daddfa, 0xb13363b0,
+    0x607dc9e9, 0xd8db984f, 0x37a356fe, 0x9cda3667, 0x08d541c4, 0xc6c8044f, 0x5a947055, 0x85713fc0,
+    0xf4bc9964, 0xec38bc02, 0x1103b526, 0x571a2bb1, 0xb36f1698, 0x948ee9e6, 0x621b197c, 0x52fae13c,
+    0xfc61a036, 0xfa4832a4, 0x76dd4e3a, 0xc289ce21, 0x06b6372e, 0x99e24f1c, 0x8327e9bf, 0x5575ec4b,
+    0xae40f983, 0x4cdebf6c, 0x06a41e89, 0x99c31817, 0xe38869da, 0xefcdbd01, 0xcd4582eb, 0xa079e066,
+    0xf7fc7296, 0x9a8e5ddc, 0xa6b1f8a7, 0xb2451a35, 0x530bab8d, 0x440825d3, 0x70e1f09f, 0xba72bdfa,
+    0x75bfc810, 0x9d075819, 0x6518859c, 0xeadbc699, 0xfa8081ca, 0x3ab8c027, 0x1435335a, 0xbf2554c0,
+    0x068a5362, 0x5d6e1fa8, 0x41a70b1a, 0xddd5f1ae, 0xcded4ee2, 0x9c223607, 0x3d32826a, 0xf09bd07a,
+    0xf97c1aad, 0xf8d20000, 0xee22660f, 0xca963cf1, 0x3d174988, 0xc7c83cb2, 0xbcf53c2f, 0xf187fc73,
+    0x6a810aef, 0xdc4a43a6, 0xa424f9aa, 0xa6efc46a, 0x235558a9, 0x7eb5149d, 0xf71d3ae4, 0xc93f6da9,
+    0x9a00900d, 0x1365fe08, 0x04b46697, 0x1c8ed8c0, 0x574dcb96, 0x821edc92, 0x10efa93d, 0x2251b9e3,
+    0x82e28004, 0x11c24a13, 0x5009e558, 0xfdebe90d, 0x4f0484db, 0x2188eeba, 0x2ff70940, 0xccd08e16,
+    0x39eeaf19, 0xebcea0a6, 0x00956c91, 0x3a5dec83, 0x5b32602e, 0x6d393c05, 0x6a91eb3c, 0x3289d2a3,
+    0xf2cd8739, 0x0f655436, 0xa5212778, 0xcfdda151, 0x06074418, 0xb3837758, 0x55d4862a, 0xa559f8ed,
+    0xbc3ef01b, 0xb7b6b100, 0xc30ae065, 0xc0222d7d, 0xe888bfa1, 0xe3272837, 0x90ca65c7, 0x2939edfe,
+    0x6ee466da, 0xb42e6d10, 0x4095860d, 0xe58b098c, 0xbc732c4d, 0xbea31571, 0x9fc7fcb6, 0xb62f0424,
+    0x00403dc8, 0x4ec96e35, 0xbf3f3cd0, 0xf75acb15, 0xcfb8c2c5, 0xac5cea4f, 0x5c924ed0, 0x51dfc127,
+    0xc060b923, 0x24d527cc, 0x22f3e5b1, 0x30bb6f03, 0xb22546bc, 0x1337d842, 0x4b057f69, 0x15cfad4b,
+    0xce2e7227, 0x4dfd6a08, 0xb39f359b, 0x4bc9d631, 0xf59ccfce, 0x7bcc7ad4, 0xba0f2ab7, 0xfc70e7ad,
+    0x2d904702, 0x7d418072, 0xc12fcb97, 0x39a5a281, 0x9b47d797, 0x06cac0c1, 0x6a7a1e21, 0x6199202e,
+    0x9a6c7f82, 0x45152458, 0xa3a1c2ca, 0xb0463ad9, 0x5b52982e, 0x4ba71d53, 0xa0e7dae3, 0xbe5d19fe,
+    0x85ab2451, 0x0d5f39a0, 0x179ba697, 0x9c9c4b11, 0xf5a0b2c6, 0x76bbc1ca, 0x7e3ff7b2, 0xf520b22b,
+    0xd411e250, 0xc739769b, 0xbc6cc007, 0x2d252a91, 0x2a1413b7, 0x313b644c, 0x69910023, 0xd18110cb,
+    0x8674ebef, 0x5df25a1d, 0xc2e18e3e, 0xc9264028, 0xf68fe496, 0x99252987, 0x78eea8a7, 0xdeab3fa5,
+    0x9078084f, 0x3d2ff617, 0xde4b09f3, 0x6b556cd0, 0x2e85023e, 0x6d60b7e7, 0x682dbb31, 0x0584635f,
+    0x37f62ebd, 0xf050f519, 0x458da713, 0x879fefb2, 0x7502b3d0, 0x51e783e1, 0xa5268a8b, 0x9b241283,
+    0x5ff997fe, 0x50c75361, 0x34995fa3, 0x66885d2b, 0x50403ef9, 0xaee67343, 0xf59691ee, 0xb62d380b,
+    0x518f02c1, 0xdfbcaaf4, 0xc56750e1, 0x8f958919, 0x487b4f94, 0x09722991, 0x3c3bda4a, 0x9b25dea4,
+    0x3f858a85, 0x73279aad, 0xed967bb8, 0xc519054b, 0x3f73264f, 0xc3db1afb, 0x6556db1a, 0x0d58f4a7,
+    0x24f401b6, 0x70cff7d2, 0x1dc24c30, 0x04a3524e, 0x6221d724, 0xb17c64c7, 0x5dfbdc36, 0xf67282e8,
+    0xbba446e2, 0xce9a2564, 0x0bfbbb7e, 0xd4d1929a, 0x8f4380f4, 0x2c236cf2, 0x2aec6aff, 0x65cd3d92,
+    0xa2d58e68, 0xe9a7e857, 0x5014ba43, 0x31dc50af, 0xd7364c12, 0xc2bb44d7, 0x983df3cc, 0x400053c5,
+    0x3fceb40d, 0xeba9cc5b, 0x5866e1eb, 0xdff7d51d, 0x6e8cb932, 0x7b148101, 0xf8591ab4, 0x29f9eb68,
+    0x6e82ca52, 0xb804dd00, 0x761bc535, 0x627d5e7f, 0xf993f684, 0x2c6459aa, 0x38a43dca, 0xa3ada6c5,
+    0xe022e55c, 0x83d69746, 0xa4814a45, 0x2d379c98, 0x76df104c, 0x543ab192, 0xc55a7573, 0xfea31fec,
+    0x9e8d9402, 0xc14f7bde, 0xd4a1313c, 0xfc7ead8f, 0x5a2c89fc, 0xc6da55d9, 0x0576cad6, 0x13bdb51e,
+    0xcd8d533e, 0xfccb67a5, 0x33c618e1, 0xc9d35c22, 0x88781ccc, 0x232afd55, 0x88408502, 0xc1203d73,
+    0x7f1283f4, 0x880cc448, 0x500f3289, 0x48c97f1a, 0x623bdce1, 0x33b5839c, 0x34a31b67, 0x774d11de,
+    0x4b17a737, 0xef60fd48, 0xb5c15004, 0xf0d93fae, 0x0b949c7d, 0x554e33b8, 0xa9413a59, 0x3df35cf0,
+    0xde1fb086, 0x4ff5cdb2, 0xc1cfe7fb, 0x85efe891, 0x48e8d0da, 0xe78aff82, 0x7ddb2c75, 0xd58932f0,
+    0x8bcea9ec, 0x8097e59d, 0x0e5b0764, 0x0653041f, 0x742b7e24, 0xd535a799, 0x4e4baed3, 0xfe8c5fcb,
+    0x8ea11cb7, 0x7e94f15b, 0x82be3411, 0x8b35d2fd, 0x1add9fb0, 0x1e566f67, 0x3baa5bae, 0x5fd6544b,
+    0x56ae3bb2, 0x12e5cb7a, 0x4dcf0807, 0xd131d00f, 0x398a052c, 0x2a16a86d, 0xd25356ce, 0x004f4a6d,
+    0xee3706ce, 0x49dcc6e2, 0x0e2122c1, 0x2169fdfa, 0xb3e4f7bb, 0x4bf7151f, 0x30ebf264, 0x824a820c,
+    0xa7ebe43d, 0xd3c85f8d, 0x5c06ac53, 0x1714b725, 0x57d938a1, 0xe8fac292, 0x0b5107a2, 0xc438bb56,
+    0x3e61caaf, 0xdde3c842, 0x9bf01b10, 0x2b596fa3, 0x60363a13, 0x2e229d58, 0x0ee0f396, 0xb466acd1,
+    0xeae5001b, 0x442a479d, 0x2b9613fa, 0x4efe7eda, 0x31b5bb23, 0x66d023b9, 0xa1890f13, 0xa6cee310,
+    0x5c713661, 0xd191f8c0, 0xcacfe3bf, 0xbb68c9b7, 0xc593960a, 0x14708b76, 0x18515672, 0xebfd3a84,
+    0x305a7377, 0x6e96eae5, 0x3f80e5b7, 0xb3504dbc, 0xe24f724c, 0x6ff38783, 0xba1c9d91, 0x21f8c986,
+    0x5e21e8a6, 0xb6eaa580, 0xd149451f, 0x3ed3c029, 0x58137885, 0x5598677b, 0x970c18dc, 0x5fb0ea88,
+    0xeefba841, 0xc8822f58, 0xaf4579ca, 0x9143c3d1, 0x1d015a17, 0xa5943f6f, 0x62d75239, 0x2ec9e02d,
+    0x292701d8, 0xd391e3b3, 0x62ea5dc8, 0xf6628397, 0xc1c080a6, 0xe01ab22e, 0xbaad6104, 0xb75b3786,
+    0x00000000,
+    0x000d49a6, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000262144 */
+  { 0x00000000,
+    0x0961af9c, 0x620a0cf1, 0xefc67365, 0x7b1138c3, 0x3b40641f, 0xfefc563d, 0x319e4db1, 0x838c7df5,
+    0x9993f6ab, 0x1f32f9cb, 0x9578d12c, 0xecf02ae8, 0x84e10179, 0xc084a20d, 0xdb703915, 0xdece163d,
+    0xc731a855, 0x9eaef061, 0x9f2e04f3, 0x1df1e6b9, 0xc39a1f1b, 0x94dc1c19, 0x251739ea, 0xb5d7e98d,
+    0x3484af05, 0x1caf8cd5, 0xe64a6c0b, 0xab4586d8, 0x3ab37da2, 0xf9847a5e, 0x813cc1a5, 0x7791a090,
+    0x3579559e, 0x962a773c, 0x8c3b55e6, 0xaf89bc1a, 0x727250f6, 0x2f935a30, 0x3873eb2f, 0x65a78ea1,
+    0x3d3d38a2, 0x64641356, 0x8864f7d5, 0xebce263c, 0xb2c4d41d, 0xb9e4bc40, 0xbd9e3c58, 0x5612df35,
+    0xb4d27136, 0xbdb852c6, 0x38c25524, 0x3a60d351, 0xee2a3b09, 0x5079ab80, 0x728889a5, 0x3830309c,
+    0x84c6440b, 0xaee7becf, 0x498b332f, 0xa5b03401, 0x382250ba, 0x31e453ba, 0x4767daba, 0x2d4e9e0b,
+    0xd57838ee, 0x0ebcbd20, 0xa48c0020, 0x7c425972, 0xcc6f4ffd, 0xb3e3d679, 0xeaf61b72, 0x05012a9c,
+    0x5aff9b5b, 0xe73b5095, 0xa27441a5, 0x84bb0f35, 0x0e3493ae, 0x35ea1d90, 0x5a04fc7c, 0xd83709c6,
+    0xa80dc326, 0x96811c05, 0x4ea81503, 0x291686e8, 0x78a7ad00, 0x380c8ceb, 0x9bb35467, 0xe1f322e2,
+    0x4b5276ba, 0x2917e167, 0x19bac62b, 0xfdf11846, 0x8bc0ac7a, 0x50127235, 0x6df3b73a, 0xb7119670,
+    0x21933df3, 0x24740cc0, 0xf815874e, 0xe306d14d, 0xd0ae9586, 0xa520f67e, 0xacc3859f, 0xeb4e8923,
+    0xc0ab8e9b, 0xba9550ae, 0xddd2a9f1, 0x4a0cf4d9, 0x95e899f1, 0x9d890fac, 0xc3cd5aaa, 0x9a8832ff,
+    0xfe4da5a5, 0xd9b704e1, 0x46e7e0c6, 0x1731a587, 0x51da1e71, 0x9afa4efb, 0x318c21ac, 0xa3c03f9d,
+    0xaa904967, 0xfe61a824, 0xb3ab85eb, 0x37b8faf7, 0x35a9c4f7, 0xef673479, 0xaf3fc10c, 0x5af427b9,
+    0x35deba4b, 0x473b009f, 0xb1adbcbe, 0xceca71d3, 0x69ba28ac, 0xb58fdb32, 0x1a104749, 0xf9b9a465,
+    0x27019766, 0xbd9847fd, 0xa924ea9c, 0xc78b8498, 0xfde42fe6, 0x0c688c8a, 0x56ae0bfe, 0x13bd6ba2,
+    0x94dca8b7, 0x04c9702b, 0xc5145f98, 0x6b34273c, 0xc830f296, 0x384fa523, 0xf3d8021e, 0xcb6b3eed,
+    0x711c1cbf, 0x8ace0df8, 0x7bf94ecd, 0xf03aba7c, 0x5f21732a, 0x5f0556bd, 0xa5769a71, 0x7ee2978c,
+    0x40a48b9b, 0x307989c8, 0x48f77a29, 0x8d3a9a32, 0x22b9d75e, 0x9e7b0993, 0xddc44dd8, 0x1b36143c,
+    0xbc2ca9c2, 0x50d5b0c2, 0xf0effaea, 0x12e85d90, 0xc5b52402, 0x4162e2a0, 0xc0658ad0, 0x88da20d3,
+    0x0fce4de2, 0xa0f6ef27, 0x7e189c36, 0xc3eeca6e, 0x1fa9d48a, 0x1fe0d162, 0xd27c9208, 0xd5dabe80,
+    0xdfc5e859, 0xaf1919ce, 0x779b628d, 0xb7ba056c, 0x454dc6ba, 0x2cecbc08, 0xeb0a9162, 0x037a2d49,
+    0xf44bbad5, 0x5591d7fb, 0x8c7a2821, 0xa3a3ea24, 0xbc77073a, 0x6e18f216, 0x82648d6f, 0x282836a7,
+    0x48fa4ecf, 0x5a00c654, 0x17c02daa, 0x84e1f539, 0x6c92fe09, 0x16f752b8, 0x8e6112e9, 0x25f27a79,
+    0x709b9e2b, 0xd625f5e1, 0xcc4e7bc0, 0x5cc52ccd, 0x4cb93aad, 0x8b6a1922, 0x5357956b, 0x91ed7599,
+    0xe74fc5ad, 0xd7568ded, 0x13efe5d0, 0x231d4dea, 0x36373549, 0x638643bf, 0xbe6d778f, 0x8d4db692,
+    0xa69069f0, 0x36691d6a, 0x0521b9a7, 0xbd9d23ab, 0x42c29e6a, 0xe86e5a0a, 0x5cee3801, 0x9edf3e00,
+    0xf3f44550, 0x6be14700, 0xeed05976, 0xa068cc43, 0x89b2f22e, 0x4c6fb7ef, 0xf0501efd, 0x06b90c81,
+    0x4857f062, 0x312bfabe, 0x6fa214ae, 0x0f14dab2, 0x982490e6, 0xa6dec91e, 0xcd9fb2ed, 0x9760525c,
+    0x1e41ecfe, 0xcd4d6b93, 0x8f88ccec, 0xb508f312, 0x3bd70e8f, 0x4836c0e5, 0x202b8e89, 0xa6528340,
+    0x84bc9139, 0xfd55694a, 0xa2ef16ef, 0x24ff3f5b, 0xe7b38e53, 0xbd56d068, 0x7453fc3f, 0x0e8d2efd,
+    0xb25243d6, 0x3e40db86, 0xbd75ced0, 0x876f28af, 0x935a21f9, 0xa7324287, 0x591c3d33, 0x7f07c7e5,
+    0x8e425987, 0xfdfb363f, 0x42a81ca4, 0x7c3431b0, 0x6b598274, 0x0ea8c8fb, 0x256eb54a, 0xc7728331,
+    0x8d321fbe, 0x434b4141, 0x800dabd7, 0xa8126f91, 0x0ca3775e, 0x265a87f8, 0xfdbb6687, 0xba27047b,
+    0x456a78cb, 0x52acfe91, 0xe5be412b, 0xef64868f, 0x60c15d7f, 0x80a744f8, 0x567b19de, 0xd3f3408e,
+    0xa83a887d, 0xb1d85203, 0xc44d5769, 0x9f70cd60, 0x3ebddf87, 0x6e89dc66, 0xc775f756, 0x7752a688,
+    0x2f73c4f7, 0xa917c003, 0x0babb87b, 0x6531c518, 0xc220c163, 0x1ebd6fea, 0xac833dda, 0x9016ba21,
+    0x87d9f38e, 0xc12cf912, 0xaead4776, 0x6b68e90b, 0x4c2aa3ce, 0x26bb48b9, 0x72b3e439, 0xa215e89f,
+    0x4390cfaa, 0x120cbd65, 0xaf2e8c32, 0x3f25ef1c, 0xe422ba64, 0xdf97084f, 0x024d21f8, 0x07a6f934,
+    0x868682ef, 0xa41c7982, 0x8022f635, 0xe67e87a2, 0x9a54f116, 0x8994ec15, 0x0fd140cc, 0x228065d0,
+    0x14dd3b32, 0x422ee7fb, 0xfa0f5e10, 0x38d7309c, 0xeac72b87, 0xa4f778d2, 0xd6b9c075, 0x28cba305,
+    0xa1b44684, 0xe7774def, 0x08b8714b, 0x37f8d087, 0x3d30bc42, 0x2b2cc4a2, 0x19f2f8fe, 0x06660736,
+    0xb2203c47, 0x7f56a08d, 0xca89d33c, 0xdf65c8f7, 0x8d479338, 0x171548bf, 0xb4fb0d38, 0xd036f8ba,
+    0x7917c81b, 0x38307ef5, 0x7ad392c6, 0x78ca6f1c, 0xf3b281ff, 0x75934452, 0xaedff973, 0x85b35e2e,
+    0x16d3d164, 0xca2e3fbd, 0x5ff7b860, 0xd8095ac4, 0x36ab9c39, 0x139975bf, 0x3b00b589, 0x4a4d690b,
+    0xea0fd827, 0xcad0107d, 0x66d06a80, 0x0d564003, 0xc55d5567, 0x2382c0db, 0x59cb45de, 0x344adbee,
+    0x5705d366, 0xa68eef3e, 0x342b162e, 0xead9bf29, 0x20bad5bb, 0x57cbfd0a, 0xf2b00263, 0x24e94b1e,
+    0xdf938977, 0xd73f13f1, 0x1f8ff71a, 0x4a7d29b9, 0xe7afccba, 0x77821262, 0xa053c042, 0x589bf396,
+    0x28429cda, 0xd09c57ea, 0x8fa9a0f7, 0x7d324162, 0x22be0991, 0x786d1e51, 0x4c0e93da, 0x8f26630a,
+    0x0d06d1db, 0x5b6da82a, 0x40ebed29, 0xd8766e33, 0xc366a4ab, 0xcc34b534, 0x74eeb0bf, 0x729739ea,
+    0x1dd36d0e, 0xa4ca9126, 0xbc8e2caf, 0x70124332, 0xde9d892b, 0xda853267, 0xbcd19dd0, 0xed34bf16,
+    0x2c284826, 0xb5eba9db, 0x05adc5fc, 0xdb3dd4bc, 0x920650af, 0x1db5c4fc, 0x2c587cec, 0x5f3a8311,
+    0x395cc655, 0x569f817c, 0x49c65116, 0x15abf7b5, 0x56fe8367, 0xde85523a, 0x2e59670f, 0x0651d750,
+    0x7bc71786, 0xd7715f85, 0x18bee341, 0x0508881e, 0x6565ec9d, 0x084624b4, 0x1f2b6531, 0x101bd4f0,
+    0xb819f5d6, 0x3b06baf2, 0xe5f01a01, 0x16d458dd, 0xa54f1451, 0x67317b73, 0xfe184e88, 0xdf28bd3b,
+    0xf6daae6a, 0x50404e6f, 0x17ceb4fe, 0x651a95c3, 0xb9e26b4a, 0xbcd7c002, 0x7a599174, 0x126aa967,
+    0xb2591f64, 0x990fefda, 0x28947536, 0x2904d6d7, 0x02d9853d, 0xf0619fe9, 0xc02476d5, 0xd8c68070,
+    0x43776ca5, 0x8f46a635, 0x122d4373, 0x0723f65b, 0x080dd7be, 0x4b4e1e02, 0x3d0503f2, 0x25848301,
+    0x4fdcf768, 0x2a5b29fa, 0x9930326e, 0x1694beae, 0xd384be3e, 0x5e5608a3, 0x3b5f0c59, 0xa4cbebcd,
+    0x7e7dac14, 0xa8513a04, 0xbe35e983, 0xebec06c1, 0x68642f0f, 0x399630b9, 0x3dde4e22, 0x5d3c80d1,
+    0xe5539d2b, 0xaa783683, 0x1a10f7c1, 0x7446a824, 0x3d2d3eae, 0x025db87a, 0x490f6778, 0x62f57bef,
+    0xb3620600, 0xdd43fa54, 0x19e26214, 0xf9da8623, 0x693f6a18, 0xd7ed3155, 0xb57cd7c4, 0x7361f0f4,
+    0x7c57cef0, 0xc4c56ab7, 0x6136eae7, 0x226edbda, 0xf582fca2, 0xa6e618c1, 0xe70758f5, 0x56600d73,
+    0x1c1db90c, 0x1fe0549e, 0x0ff4c656, 0x46d3b3fe, 0x4b33da6a, 0x8bb21b64, 0xf19408fe, 0xdad9771a,
+    0xdb0d2d6c, 0x40717461, 0xdc288847, 0x77d9ad49, 0xb9cd415d, 0xad24b203, 0x8030864d, 0x09bccc49,
+    0xd1c509a7, 0x71fbd561, 0xaeb3718f, 0xf856c287, 0xf397aa54, 0xcf8dc4c5, 0x731a3185, 0x9d019be6,
+    0xd060045d, 0x373a24b6, 0x559dfb46, 0x5f31dfa4, 0x7ae6e486, 0x1146eb78, 0x8ace7e5e, 0x42084fef,
+    0x3b24abbc, 0xaadfe500, 0xd239dc35, 0x242d0e48, 0x75456444, 0xeef6711c, 0x14f018df, 0x0e7b3db6,
+    0x2978386b, 0x4fbf704a, 0xec951d5d, 0x67891bd2, 0x74912633, 0x4120d601, 0x5615ad84, 0x3d6e96ce,
+    0xec335a91, 0x32f069e1, 0x9d41bb40, 0x1b5dd2ed, 0x0d531312, 0x7a9911d9, 0xe083f16d, 0xb342ae4c,
+    0xbc500965, 0x126ba5f4, 0xed71f4f3, 0x4439f84e, 0x028a4da2, 0xa165e46d, 0x8a35fde0, 0x84539f6a,
+    0xbd24e365, 0x936cd7c9, 0xbc7c91c6, 0x0d1240db, 0x975e793f, 0xaafd9871, 0x36ed3c86, 0x368dfac3,
+    0x382ef4d6, 0x0ee4a3be, 0xdff71d1d, 0xe9d4f8d3, 0x8c10d468, 0x440e7703, 0x8a3a9f98, 0x5a01495f,
+    0x76b2159c, 0x77f6f1e5, 0x2e67ba6a, 0xfce2e6b5, 0x75d1774a, 0x608416b8, 0xc2712e8e, 0xbdb63d7f,
+    0x897a56ad, 0xbb4f7f95, 0x1d86e513, 0x09df05ea, 0x6c20343e, 0x5a640072, 0xb78d1064, 0xb73136a1,
+    0xc922e40a, 0xc59b6443, 0xa667e7eb, 0xc3c28842, 0xec19790d, 0x3ac59317, 0x63c60303, 0x1d3587dc,
+    0x41ecb00e, 0x1d1cf5b3, 0x8715b9e9, 0x69406488, 0x07d1a77f, 0x64221af7, 0x75a48671, 0x09c4e0cd,
+    0x14335273, 0x9cfa137f, 0x8335f8f9, 0xc3debafd, 0xc38b2158, 0x9599f271, 0x2d11565a, 0x24d2d48e,
+    0x2f4d83f1, 0xe7a794d4, 0x1e8831ad, 0x615a1634, 0x59d7e7e4, 0x5dcc1cdd, 0x3c32cebd, 0x3c0fae2d,
+    0x711f5463, 0xb2105525, 0x3a3a116e, 0x4a797a66, 0xafb03505, 0x4ac7b0f7, 0x11517731, 0xb54f9d03,
+    0x79b14e1e, 0x4cbcd4d2, 0xc710e21e, 0x2d274b1b, 0x50e29af9, 0xcce960e0, 0x816813df, 0xeddab782,
+    0x4d67ba94, 0x751c170f, 0xf3b05310, 0xa0894f4c, 0xb38b00a4, 0x1f1e5e48, 0xcd1ba94f, 0xe69a2c89,
+    0x718120ff, 0xda8adde8, 0xaaab2abc, 0xd033be7c, 0x4556a665, 0x7036b5b7, 0xc896c4aa, 0xc410dab9,
+    0x66a10d6c, 0x12d2a4d8, 0x10500af0, 0x0d25ede9, 0x8c7b595d, 0x71df3728, 0xa1455b6b, 0x224efe93,
+    0x20e02637, 0x2d7b02d5, 0x5887eb8c, 0xb8c65160, 0x185faac8, 0xe54a7a7e, 0xd3ad7d39, 0x3fd48f65,
+    0x0450216a, 0x2a9ce58c, 0x0a8d8f64, 0xd1234fa0, 0x27e32b6a, 0x3ab93eeb, 0xca498d10, 0x623c95f6,
+    0xaef47e66, 0x4614fc23, 0x814f163f, 0xd1c97dda, 0x651c6f8a, 0xf9ff31c7, 0x1604300b, 0xe0ea9fb2,
+    0x122047b8, 0x9863b3d1, 0x560f46f6, 0x5990b8bb, 0xe5b0a999, 0x5c120333, 0x70524e77, 0x1fe9fff9,
+    0x0f37e9fd, 0x72873e77, 0x64299fe0, 0xdb25e520, 0x977f059c, 0x6375de1b, 0xd974b356, 0xf894f2d7,
+    0x77ebd2d0, 0x257b1b67, 0x25261d86, 0x2e8d5eab, 0xdc949e11, 0x2c37eada, 0xf9110df7, 0x057a4546,
+    0x359b1f22, 0x911353c0, 0x9dae3338, 0x74c33104, 0x4bcaff31, 0x00108f58, 0xe4aced04, 0x62926113,
+    0x7f675139, 0x2397d9c3, 0xee1d0da4, 0x56ee42d4, 0xc9ba3147, 0x19f96eea, 0x7b276405, 0xa9e85b4f,
+    0x3260de42, 0x28dd6ed0, 0x69cc042f, 0x87fe9a47, 0x3fd9d68c, 0xc85713fb, 0x81f0a9ef, 0x4580d33e,
+    0x216e226f, 0x086ec050, 0xad1bfab1, 0xa0a0d381, 0xd4b351a6, 0x532df795, 0x35a1671f, 0x01c8be83,
+    0xd2ea78fc, 0x86d6fed7, 0xa4dff1a5, 0xdcba667a, 0xbf36691f, 0x0dcfb75b, 0xb2840e17, 0x348cfe08,
+    0x6c69eb32, 0x111cd0b4, 0xb8767841, 0x8b8cb2da, 0xa9d7ad10, 0x3dd3a9e1, 0x38ac1a76, 0x7d2426da,
+    0x4c157949, 0xac37d5e5, 0x301c3d59, 0x85d27d92, 0x9ea472e9, 0x1cf75d97, 0x0d7042d9, 0x3715427a,
+    0x2ca9239f, 0x672db151, 0x8ecc19f3, 0x9c850a2e, 0xf9758916, 0x891a9620, 0x60743321, 0x9f94fed1,
+    0x817de14b, 0xae315db2, 0x67744e22, 0xc7a8e07e, 0xa1e46a10, 0x12241ade, 0xc194a57c, 0x637cbb32,
+    0xca506b9b, 0x96ed4c03, 0x6dd79a62, 0x281b4e8d, 0x675f0a9f, 0xf4e7c33c, 0xbf35be67, 0xf04c502b,
+    0xed2bd3d4, 0x0e0fae71, 0x6debf295, 0x1e2d5191, 0x5c35ef58, 0x6fcef08a, 0xeabb8fad, 0x91b27330,
+    0x2ccc04d2, 0xce0b92a5, 0x0b6d2a7e, 0x3fba761b, 0x6207f787, 0xd3e9f799, 0x08de03e0, 0xe8ee14fe,
+    0xec59d826, 0xa41ebdf6, 0xb6ec763a, 0x32041b97, 0x7b5cd8f3, 0x09ba6d56, 0x209c0286, 0x1a2ae92e,
+    0xff7d8ecf, 0x7be6ed56, 0xedaa5114, 0x6f0546cf, 0xec8db05c, 0x4df704e4, 0x3f030a90, 0x6ab2366a,
+    0xc127e788, 0xc0563ad0, 0x5fe0fc85, 0xce33873e, 0x60c77301, 0x01baf666, 0x9403bfe1, 0x9eeefe78,
+    0x72d5f000, 0x161e92fb, 0xb6917059, 0xfd1d527f, 0x5663e0f6, 0x5695c21d, 0x0239e39c, 0xefec530d,
+    0x887ee986, 0xe8edf93b, 0x27bd476c, 0xd42a8a1c, 0x92c597b1, 0xe72f5c24, 0xa593e50c, 0x32398523,
+    0x729b2dec, 0x7dc37ff7, 0x125d9363, 0x7728c1f4, 0xe673ef52, 0xd01c259d, 0x17c1d548, 0x4cc144a3,
+    0x3810db16, 0xd0f11045, 0x50065a5d, 0x4557a6a5, 0xe2f91133, 0xa206cc32, 0xe4ab84c2, 0xd7f149b7,
+    0xaa762d13, 0xe422677f, 0x836e062a, 0x1afb95d7, 0x3b4ebc4d, 0x434645bf, 0xf28564c0, 0x55700e1b,
+    0xa421f269, 0x68054063, 0x90fba8ee, 0xaea5e274, 0x004abcca, 0x9d152695, 0x750f283d, 0x07205ee5,
+    0xc160271f, 0xdedd511e, 0x15d25fca, 0x9a7ea235, 0x2f103aeb, 0x124ee0c7, 0xfac6965a, 0x7aeaef5c,
+    0x422f8f49, 0x741df193, 0x97706a63, 0x482ba3ac, 0x18864c7e, 0x1fd04a08, 0x1f0cc528, 0x584faf1b,
+    0xff305ee9, 0x1097554e, 0xe753a231, 0x93dc47d3, 0xdb13ad43, 0x9bdab267, 0x8571be28, 0x4e5bea8c,
+    0x0c5b7ce0, 0x9e886c10, 0xbf2f110e, 0xcfdd86c5, 0xd452ac50, 0xd2be9b60, 0xf37035bb, 0x242ae52f,
+    0x5a4cdb0a, 0x6d83f270, 0x6d898fd6, 0x57aef734, 0x7247597a, 0x8bcdd31b, 0x8b67f13c, 0x4548ed44,
+    0x47d258a0, 0x0f963381, 0x386c6a89, 0x16ca7e28, 0x8a6fc05f, 0xe22b9e00, 0xe12c7a95, 0xb6009062,
+    0x0be91a15, 0xb3ec451a, 0x9b50ff2e, 0x36bc87d9, 0xe67d3f80, 0xad518ee4, 0x2a82375b, 0x66b45367,
+    0x66928a94, 0x1edd7f2f, 0x24854463, 0xa0723c6c, 0x94f1a00c, 0x3e8b8508, 0xf647308d, 0xc43d02b5,
+    0xb68b4879, 0xf0c6471a, 0xa1228078, 0x050c347f, 0xc309bb2b, 0x0b2b3a80, 0x8502df2f, 0xe62202de,
+    0x669201d6, 0xf84e2f91, 0xfc021ee4, 0x20ad6738, 0xf5512888, 0xebe2917d, 0xbcec51dc, 0xfca5bc4c,
+    0x85938c4a, 0xc2d87772, 0xd4bb4b88, 0x1e343d53, 0x24a39f9f, 0xf334f951, 0xc898cdbb, 0xe369ffac,
+    0x21eeea49, 0x94105009, 0x6306f6a1, 0x32d368da, 0x4733b27c, 0x4f411a90, 0xb2181f41, 0xbd165810,
+    0x159de9aa, 0x741442da, 0xcfa3bc72, 0x1cd54215, 0x1ee8580d, 0x084da5a2, 0xfe7769bd, 0xd8a7940b,
+    0x00000000,
+    0x0006a4d2, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000131072 */
+  { 0x00000000,
+    0xaabd75bb, 0x506acc2d, 0xc6a56f69, 0xfe704f9b, 0x32dca24b, 0xea6ee27d, 0xa8da68db, 0x3496c90d,
+    0x6b48aa61, 0x24199fab, 0xf775c65e, 0x2e6a553d, 0x1cfcc433, 0xb575c1b5, 0xb23b2a5d, 0x7264d0f8,
+    0x04c92053, 0x4d812da8, 0xe9292455, 0x45bd49ae, 0x2f8c62c7, 0x6416d8fd, 0xa413fa81, 0x32193c1d,
+    0x90ff3ec3, 0xddb16bb3, 0x2a4097a8, 0xcb9112de, 0x288bf28f, 0xd376547e, 0x3a8cabe7, 0x59c56552,
+    0xe7c79afe, 0xccfda463, 0x99ece088, 0xf55c2946, 0xc49dd80c, 0xd8f3985a, 0xd7d3a577, 0xd88e72cf,
+    0xcdec644e, 0x360034db, 0x078d5d87, 0xfaeeaf39, 0xd4431bf8, 0x5dc95410, 0x19626d26, 0x2a7d7f2d,
+    0x7ba003e3, 0x65452295, 0x0cdd73ec, 0xcd0fe3d2, 0x83cd83ce, 0xe32482df, 0x1cc6b0e0, 0xdda5ea78,
+    0xb75780c1, 0xa89f19d5, 0x24fbf59c, 0x21aaf36e, 0x26250090, 0x32a8d61f, 0xdce7ad06, 0x83908f87,
+    0xfaa6fdf9, 0xd147f938, 0x7c7734d8, 0xed7d0875, 0xd50b4d1c, 0xd9fafe8b, 0xdd60447f, 0xd769ac56,
+    0x855fe099, 0x85e1ad80, 0xd71cd4e4, 0x81272180, 0x8682736d, 0xa0b9e71a, 0x17ff4003, 0xe868fb8e,
+    0xdf14a77e, 0xceaf329c, 0x48639ea0, 0xf9e84b30, 0x8e841935, 0xda953eb0, 0xa1767401, 0x8d260693,
+    0x0c586316, 0xf7f4389f, 0xe132563b, 0xf6b71c62, 0x3c521ecb, 0xa6660c84, 0xf9693a1c, 0x46e053a3,
+    0x26ac87cd, 0xc5db3858, 0x269abf8a, 0xd6c6d5ca, 0x5de706b8, 0xea4c859e, 0xe75138c1, 0xf61c118f,
+    0xd6e901d8, 0x00f13b56, 0x1e9edeb4, 0x1c1f95b2, 0x3241f780, 0xfc650348, 0xe5a5e2ec, 0x97c08269,
+    0x5c268882, 0x05e10888, 0xbdb15d9b, 0xcb539399, 0xa1e682ba, 0xa439dfbc, 0xfe33b41f, 0x29df54af,
+    0x43f7b919, 0x5cc8c757, 0x921ed685, 0x54261db1, 0x382164f6, 0x699d5912, 0x3d4ce121, 0x8d66a7e8,
+    0xdf002bbe, 0xaca5c860, 0x6cc4b8ac, 0xa0b90346, 0xcb199549, 0x66797965, 0xe7ad3471, 0x30ea82d7,
+    0xda293c19, 0xe7a43882, 0xd82011d2, 0xa3133749, 0xe1964bde, 0xa96ae1d1, 0x4faaf5fb, 0xbb43d10b,
+    0x2fee740d, 0x9e68bff5, 0x114f3ac7, 0x455fb749, 0x20a33ee8, 0x1b0a6db8, 0x89927073, 0x56b26a25,
+    0x3725441c, 0xa291fd43, 0x91313973, 0xbc9f6dbd, 0x8bc83fef, 0x73b15cfe, 0xf01a50e4, 0x39b2cec8,
+    0x0df8fdd9, 0x27c3fe13, 0x22fb4f14, 0x72dd9c4e, 0x395b3dc9, 0xf7243059, 0xf75a7259, 0x291afb58,
+    0x680fda8f, 0x9a143284, 0xd75dd109, 0x37830d02, 0xcd491f46, 0xc4dfacd5, 0xd00f60e7, 0x5a1bf75a,
+    0x0b61b3a8, 0xcd332a03, 0xda950419, 0x21d972c0, 0x68f17d14, 0xcc041644, 0xab4728e6, 0x5a66ef3b,
+    0x2e04252b, 0xf91f1783, 0x653bf3c2, 0x4fe22f8e, 0xf2ce55e7, 0xb0a2af43, 0xad5b5fb6, 0x6889f332,
+    0xf9220cb0, 0xdf803722, 0x123289a1, 0xce6d7933, 0x9d608cd7, 0xfb046e1b, 0x5592b161, 0xf5e1e1ec,
+    0xb6610aa1, 0x9dde81e3, 0x05278251, 0x99d51a9a, 0xd3ef13f1, 0x3f4d4eee, 0x7bb4e3eb, 0x81528abe,
+    0x054bef0e, 0x8d51ade0, 0x4778afd5, 0x8a97edc8, 0x3dae661c, 0x657713d6, 0x197c7832, 0x81553b28,
+    0x3b006493, 0xf6293819, 0x07564e2e, 0xd06669a4, 0x08e574dc, 0xecbdb959, 0x5b56c7e1, 0x843458e5,
+    0x082c3213, 0xb718bf08, 0x03ca3c42, 0xb92c8302, 0xef05dab1, 0x249a3f09, 0x1763daaf, 0x8722b296,
+    0x16e11095, 0x1fa8d005, 0x6bc7be29, 0x9aac5e4e, 0xa6cf7584, 0x971d45b2, 0x29ca1e4d, 0x9c8f572d,
+    0x8ca25467, 0xc2103050, 0x301f5650, 0x27d2f3d2, 0xb6b51197, 0xad52ec30, 0x22490866, 0xca6407bc,
+    0x6596c7e3, 0xdf7d9421, 0x9143e685, 0xadd15aad, 0x841ae1f7, 0x8513e8b6, 0xbcc4e5bf, 0x65e11005,
+    0x82fff6e6, 0x1b692b1c, 0xa85dff64, 0xbb0c4f27, 0x037695db, 0xe1d9c3dd, 0xed2b8340, 0x381b986b,
+    0xe3a2033c, 0x9cc2a60f, 0x129d596a, 0x3011d549, 0x6a53df56, 0x3075dd9a, 0xf4678d62, 0x742ce66b,
+    0x47c1dfad, 0x784e2c97, 0xd1a79dee, 0x425001fc, 0x2eaba43e, 0x23c776ff, 0xef53510f, 0x9d488b92,
+    0x9c1937e0, 0xc64ee3ba, 0x8aa03906, 0xa8995c3e, 0x14b93683, 0x6f65300d, 0x6a2c9dbe, 0x256961fc,
+    0x9a765877, 0xc5a25548, 0x7cde30a1, 0x483ec5d9, 0x7973b3d7, 0x4e2d525e, 0x78eb124e, 0x163be533,
+    0x37fe6f08, 0xa0911130, 0x74c8f670, 0x4f3196c9, 0x41c24d6e, 0xd4ddbef4, 0x053babc3, 0xd6000a45,
+    0x168b7695, 0xdec4865c, 0x51ca4ab0, 0x89b967c2, 0x5303ffc8, 0x82223a5b, 0x6abedeb4, 0xd3a895fb,
+    0x0c932505, 0x3dec87de, 0x8f072fce, 0x6f3cfe76, 0x2ab0ab94, 0xca322f1f, 0xd0b6886c, 0xa7f418a4,
+    0xa05427d7, 0x3c666d79, 0x9780e8a9, 0x0160f0f4, 0x713952a5, 0x62ac3fb5, 0x8e3a0a33, 0x941a3b20,
+    0xe5e15128, 0x40d9d48b, 0x70296e4d, 0x4c28069f, 0x09c86c50, 0x51d8093c, 0x5206416c, 0xd8536f1c,
+    0x27f2cb69, 0xe4a394d5, 0xd6885cc0, 0x2786a2ef, 0x5674e45a, 0xe2137f9d, 0xe7bdaff6, 0x6b943125,
+    0x9685f65b, 0x53776ad9, 0xe6bd7596, 0x7d03822d, 0x1ab73689, 0x55205f65, 0x26e99fea, 0xf2ff6c97,
+    0xcaa8c279, 0x7b9d344b, 0xe23d3ea5, 0xa09efc1a, 0xe12ebcaf, 0xd3bf83c5, 0x9a7967f3, 0x01cce840,
+    0x0aeed859, 0xfe5546df, 0x027b6e3b, 0xb5fa5d05, 0x76a18a2d, 0x92215b08, 0x31cacb20, 0xc6b075c1,
+    0xd0a69ecd, 0xf70414ae, 0x1d938ea6, 0xe309c078, 0x012b60d8, 0x45bc2e24, 0x8066300a, 0x46a9a03c,
+    0x01d065b9, 0x42a30e04, 0x5a79fce5, 0xeebf0a07, 0x79cf4fee, 0x222b5c0d, 0x658ccbb7, 0xe372ef04,
+    0xd2b630a3, 0x0a03e421, 0x93fd46e9, 0x7ede6f01, 0xad455955, 0x6aab7d1b, 0xbf244295, 0xe56ff57e,
+    0xff67c115, 0xa27a5d6c, 0x4eb0f781, 0x5d73740d, 0x6f22f176, 0xfa30fc1e, 0xa1237436, 0x541fd55f,
+    0x3c660c08, 0x27bce786, 0x89d8fd28, 0xc40d03a3, 0x312a1039, 0x29943fc3, 0xecc27b9f, 0x16de4824,
+    0x7da356aa, 0x1e7319bb, 0x0369a8ff, 0x7ae6dfe9, 0x8a89511b, 0x47e0d6ff, 0x50497923, 0x6d3c9a87,
+    0x70a68897, 0xdb69d51a, 0x0e573f22, 0xeeb27f8f, 0x844ccb0a, 0xb653bec8, 0x9d71d0ca, 0x7c8e8127,
+    0x6f642905, 0x39f108a5, 0x5c1d83f7, 0xe3521356, 0x4ea876b6, 0x2f48b429, 0xc21c8dbe, 0x2db819ff,
+    0x948d5932, 0xc4fddb1b, 0x928bc60a, 0xb01bbc74, 0xbef5b0ff, 0x45b46bd8, 0xcd1b9380, 0x34da1036,
+    0x00620bd1, 0x8b27c352, 0x9e458699, 0x123b8a70, 0x99899119, 0x992bdedc, 0xedf6dbde, 0x16e7ac25,
+    0x427bc98a, 0xc6c14399, 0xdc3131fd, 0xabdbc360, 0x1433bcda, 0xee1eb806, 0x0269cc03, 0xaab68eb3,
+    0x8807282d, 0x9bc93366, 0xfefbf6c0, 0x530d3630, 0xddc0d907, 0x1ab24dc6, 0xf62d2484, 0xb27100fd,
+    0x79955a8c, 0xc9f851d5, 0x201a2054, 0x47ba6901, 0x7200cd54, 0xe601237e, 0x0a9d9fab, 0x6635450c,
+    0x911fa8ed, 0x21bc809b, 0x7cfc136a, 0x50db298d, 0xed44b482, 0x1013e66d, 0xa4637487, 0x3bae0622,
+    0xf5f23d60, 0x41f23d34, 0xec731685, 0xd8f00744, 0x81563a27, 0xc380af37, 0xeb459704, 0xe994cd15,
+    0x0fe98f84, 0xa1d05b2c, 0xecd9ca0c, 0x21ee3ae0, 0x3d9ee0c5, 0xf11ec4e9, 0xe2a2e793, 0x5b833f42,
+    0x66b62ae5, 0x5e1c3840, 0x2c9436b0, 0x33145cab, 0xbe5f4fcf, 0x712647e6, 0xd1f291a6, 0x1c559640,
+    0x218625ae, 0x72ccfa10, 0xf8a9aa69, 0x3ff08b51, 0x8dd8a190, 0x1d846c58, 0x946f755f, 0xb6bf616d,
+    0xc4a82d2c, 0x5796eca0, 0x1378b70c, 0xe991e23c, 0x5fc4794a, 0x2f7f5edd, 0x2b24d52f, 0x477ebb32,
+    0x918e3274, 0xf83c06ad, 0xc06f7563, 0xc545dbcc, 0xdc27eabb, 0xc68d2e7c, 0x8372f0af, 0xa4bce9b8,
+    0x2a2ff6f2, 0x4d0bf4ec, 0xd54c29b2, 0x6741e027, 0x32a87e0e, 0x815f4842, 0xe8bb372e, 0xa09138cf,
+    0x3e4f7720, 0xe48466da, 0xcab8e90b, 0x588a7878, 0xd249e648, 0x3face983, 0x73fe050e, 0xd4f72e89,
+    0xe02c0e78, 0x0b0f37b9, 0x36551294, 0xd354797c, 0x6b90a113, 0x0fadb4b4, 0xff93073f, 0x1df1e173,
+    0x86652dd7, 0x60bf2872, 0xd1ce2928, 0xe7992c8d, 0x73347dad, 0x0ed8256f, 0x9b28c78f, 0xe2f11a38,
+    0x14d9b7cf, 0x55faa4c1, 0xb7cd962c, 0xb51129a0, 0x87acdb79, 0xae1eaf10, 0xe9e4164c, 0x1e223368,
+    0x87d5305a, 0x7c5a0556, 0x1fa74c42, 0xf75ff822, 0x94100f69, 0x97542200, 0x5c60bd19, 0xc67e001c,
+    0xe901c289, 0xf5d3f526, 0xc6ce5783, 0x1067c302, 0x04edcd14, 0x63ecfbee, 0x6073da7f, 0xe8535f1f,
+    0x9e06d526, 0x055201ca, 0xb69acc60, 0x5a8436b9, 0xe16999bc, 0x07439dae, 0x95fd4fbd, 0x4586ad34,
+    0x390faa44, 0x6434d22c, 0x31daad0e, 0x4e4cd370, 0x9340d8e4, 0x18d7ab5e, 0xfb4aa1e2, 0x124d3272,
+    0xadbf66ff, 0xade0f59e, 0xf2855ab5, 0x4fe31103, 0xba3b0042, 0xe19d122f, 0xf949a7c8, 0x2da82684,
+    0x9f72d61a, 0xdab616f1, 0x370ec493, 0x15f2b11e, 0x7c355191, 0xc09fc8e5, 0x6291d8f1, 0x6b03d78d,
+    0x3579be20, 0x345974a5, 0x891db58b, 0x395fe9b4, 0x50765b12, 0xdd96d235, 0x8249c898, 0x18fbfe3e,
+    0x64ea6eff, 0xa565281e, 0x2d254ea5, 0x8144e898, 0x3746b916, 0xa4336293, 0x487705ad, 0xf73a8b92,
+    0x00d770ea, 0xf0473d57, 0xf6d0b73f, 0xfae6f2ef, 0x4dbb9293, 0x0bb8357f, 0x0fb4b858, 0x788de752,
+    0xe6dcf2a2, 0x6be0a31d, 0x55e19083, 0xa08fc2fc, 0xa85acbed, 0xe9b85cc3, 0xf2bded2b, 0xd3eb263e,
+    0x29b3604d, 0x25aac09b, 0x3ff36c25, 0x7b576fd0, 0x84c433c9, 0x53138eb0, 0xe57a1c85, 0x8f31f101,
+    0x47ab1397, 0xe312e399, 0xbb6ecb0c, 0x7dfe80ef, 0xd259918f, 0x84adfb75, 0xf1f564a1, 0xc2ee25e4,
+    0xb96363b5, 0x7bb9315f, 0xd34b02bf, 0x4538c01f, 0x8081d3dc, 0x697aea87, 0x841a45a5, 0xbfa02ebc,
+    0xb9b0aef3, 0xb7dcd14d, 0xc3d57b89, 0xf12f22a9, 0x47cefc11, 0x78c37a17, 0x843b135f, 0x0ee9b36c,
+    0xe022f373, 0x41877730, 0x6c28eaf4, 0xa1c5baf1, 0x3fbf569b, 0x2f5a70fa, 0x6d2caedb, 0x6acca39b,
+    0xa57ebc85, 0x0f7b31c9, 0x2f9bae69, 0x2ab88c8d, 0xffd77a51, 0x57b5eacd, 0x304e8df8, 0x0ea68df9,
+    0xed2a5b94, 0xc1b6bf6c, 0xc8007b18, 0x5b85b736, 0x09ec27e5, 0xab18bb14, 0x9f495d3f, 0x8fdb1d37,
+    0x6577a29c, 0x32e36576, 0x34a053d1, 0xac9f82cf, 0x3309eecf, 0x31b6f075, 0xdc0c57fe, 0x63d09b50,
+    0xbf2297f9, 0xc9d73477, 0x2d3ef00f, 0x4d3005c2, 0x4f1519b2, 0xd4e954b8, 0xe1b6dcf9, 0x5d238fa2,
+    0xddfa40bd, 0x73c00fe4, 0x07d750e4, 0x82551d60, 0x6f4e763f, 0xa07b7588, 0x32a8c54a, 0xbf7fee34,
+    0xf6bfeb8c, 0x6d3cdc23, 0xfe91fcf5, 0x13211c5d, 0xcf068a55, 0x3db03889, 0x0daea7d0, 0x2186c0aa,
+    0x96e96901, 0x5a83570c, 0x8af53e7a, 0xe76af3dc, 0x36a8284e, 0x673e3461, 0xadf61014, 0x487dfb9c,
+    0x1733bc0f, 0xc2fd2d83, 0x129e2687, 0xdd274f2c, 0x03c2baf8, 0x32835a64, 0x30fe0118, 0x567dcefc,
+    0x02777332, 0x61fb718e, 0x92542e1c, 0x9915700e, 0x60c17a88, 0x2a7168b9, 0x87c75889, 0x8423ad67,
+    0x555e37e5, 0x2e9bdc96, 0xb100f8db, 0x69074a4b, 0x178bc2b0, 0xf9ff557b, 0x82ce90a8, 0xe04d6b46,
+    0x876e0a64, 0x76bf7ae6, 0x222bde16, 0xf1aea074, 0xdd5e8b95, 0xde32130f, 0xe46490f0, 0x95b738b8,
+    0x55b681ef, 0x22744dc2, 0xe7cb1464, 0x6e1955f8, 0xa88720e6, 0x322bc6fe, 0xe52fda40, 0xed060fe6,
+    0xd4759b09, 0x4e5a2a3e, 0x6675f34c, 0x47312013, 0x87ceead6, 0x03d42598, 0x215ee429, 0xca886826,
+    0xcb7dba8b, 0x4f542d1f, 0x96020eb5, 0xb806b5ec, 0xa86335c1, 0xcf2430f0, 0x4a333e64, 0xbaad2220,
+    0x1e5a2234, 0x2a3685f7, 0x8d442900, 0xc1c4e250, 0xce1520ce, 0x6c119c5c, 0x9c7ae292, 0x0a4dc8b0,
+    0xa9ef2a7a, 0x38f51011, 0x1782b7eb, 0x18f2d5eb, 0xde8d7d23, 0xd82b2ebf, 0xc989481e, 0xe9c4d47d,
+    0x84a35f46, 0xe5e547e6, 0xf4b6933b, 0x63866607, 0x5d8c8459, 0x58f84702, 0xcbb72403, 0x3e525de7,
+    0x203c9642, 0xcba0f2ad, 0x8d0089e4, 0xbd2604f7, 0x94cc0a83, 0x0812c6c6, 0xa0d03fce, 0x27e0f2ad,
+    0x2b7e6b94, 0x4dec963d, 0xbfa7be19, 0xe0615ef6, 0xdafd0edd, 0x16790d73, 0xe2413caa, 0xe5f8443a,
+    0x839a9f01, 0xeb211f55, 0x52ac41b9, 0x2734f513, 0xc4247104, 0x9d9f60d2, 0x2aa59b45, 0xa940675f,
+    0x561eacb5, 0x5a8508cb, 0xe28f6f71, 0xdd13ac53, 0x9245b9b9, 0xdeba917a, 0x90046797, 0x4737a1ef,
+    0xb5cd6d9c, 0x05473650, 0x780e3816, 0xd2f598dc, 0xff8516d5, 0x27105ff7, 0xffa31f53, 0x43222913,
+    0xfd6089d2, 0xccec48f1, 0xbb021e8e, 0x6bec97ff, 0x4957ec70, 0x3e10e8a8, 0xfee4177e, 0x979708a7,
+    0xfdc626a5, 0x989217e3, 0xe87200a2, 0xaca6a522, 0xe432619c, 0xc72de875, 0x46c74ee4, 0x6db9844e,
+    0xdbb121de, 0xee1a1fb7, 0xc549eadd, 0xeeda3086, 0xb7ea7466, 0xde062fb6, 0x8bac463c, 0x52838cef,
+    0x6adf6650, 0xc5d8455d, 0x05faf318, 0x87107e22, 0x22bdb238, 0x847b0dc0, 0x6aa3fb29, 0xba0cb7d4,
+    0x8b72c5fe, 0x2641bd65, 0x00aa770b, 0xd5c2a404, 0xdc823298, 0x83740c2a, 0x6d0d4bb5, 0x2eb2cb31,
+    0xc803f52c, 0x85513b3f, 0x2351349e, 0x67787bc7, 0xce99a179, 0xed3beac7, 0xa02bb647, 0x71018e60,
+    0x09945936, 0xeb7f7eb2, 0x149ff88c, 0x847ddbd1, 0x3c946b22, 0x43e62b54, 0x50b0b2a0, 0x9ee513a7,
+    0xf3304d5c, 0x780c2951, 0x13af361f, 0xb1964036, 0x466add66, 0x36787156, 0xb2ef8519, 0xc9795fc8,
+    0x32a2b626, 0x6508925d, 0x9801d36f, 0x5db03061, 0x879ecafa, 0x2d05532e, 0xf6c2dc73, 0x520cacf8,
+    0x3ac8f837, 0x1fbb3c5d, 0xc8ebf86e, 0x2910969d, 0x9847ed5c, 0xfa785f17, 0xf5d1bcab, 0x07403fa0,
+    0x55cce797, 0x774957b7, 0x65fa9aaa, 0x776135be, 0x41fcb9b2, 0x5dc57621, 0xc10a1dda, 0x3b6003f6,
+    0xbcc53109, 0x7951f168, 0x050b032d, 0x02010b75, 0x030e1a32, 0x122e97df, 0xfca44a05, 0x7fccfc4d,
+    0xc770d46b, 0x28fb7e73, 0x6eacba7c, 0x3ac68221, 0x8dbe2b5d, 0x9d8e5d22, 0x344f9d7a, 0xd9c35574,
+    0xb602e09a, 0xa5a3c270, 0x33146166, 0x36c02483, 0x7872c0c9, 0x25ac579b, 0x7e486a5b, 0x4459e9bd,
+    0x0a6db411, 0xd2a0ca25, 0xc0dc4a88, 0x05dc7ae8, 0xda8fb13d, 0xc0acaa38, 0x90496648, 0xf6285ddd,
+    0x214afc00, 0x0f608fee, 0xdc7c6d02, 0xd74bc21b, 0x92d64529, 0xb0062e35, 0x7e4e2d09, 0x6756a3ee,
+    0xc45c39a9, 0xb97d115c, 0xdd0b904d, 0x0b783161, 0xb5b060fb, 0x3113f680, 0x5514e6a8, 0x50d4a3d7,
+    0x134c5b9e, 0x0c03d8b3, 0xc718ebe1, 0x4ba19289, 0x6ae2e412, 0x71cf5553, 0xf0160e7f, 0xeb81cf19,
+    0x00000000,
+    0x00035268, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000065536 */
+  { 0x00000000,
+    0x3c1e6148, 0x59fcf82c, 0x9bf9c01d, 0xb86bb121, 0x24e284e2, 0x530086f4, 0x596cefcf, 0xdef63d0c,
+    0xb0d9597f, 0x40d38092, 0xe1e9473a, 0xeb80dae1, 0xa4d1b6ea, 0xde8dba80, 0xfc62353a, 0xef8781d7,
+    0xdb6b08cb, 0xd7625d9b, 0xdc2f5ad7, 0x820e2a29, 0x60332e98, 0x41067774, 0xbea310d7, 0xd9bcf014,
+    0xb2d1d560, 0x4eed8c7e, 0x0e93354c, 0x42c6a5e2, 0x4d364a18, 0xd3526784, 0x726982e7, 0xc0971c24,
+    0xaedbe9a5, 0x405d5a15, 0x4ce6cbb1, 0x6165debd, 0x167d7ab0, 0x7b82a815, 0x7b089a06, 0x097513a2,
+    0xf21d2c41, 0x4223d6c0, 0xf0e0c22d, 0x1abdbf67, 0xa3fe175e, 0x41cd2fdb, 0x084ea03e, 0x9336fdbf,
+    0xdb40a76c, 0xefd1d811, 0xf5ffa5a5, 0xd04f93d7, 0x2226dda4, 0x9c564df1, 0x88097e64, 0x8b44a58f,
+    0x1ef2e952, 0x2c5bb845, 0xb66098fd, 0x3d11e9e1, 0x77289842, 0x7cadaaa3, 0x002afd92, 0xdc1f75b7,
+    0x38861159, 0x543b3e8f, 0x1eded5d5, 0x478ac46b, 0x3fa285f5, 0x4954b166, 0xdc9be10d, 0xa57825e1,
+    0x42deed2b, 0xd3a51ec3, 0x188e2229, 0xbbbe5e4a, 0x6f246103, 0x1c69c20e, 0x22554cd6, 0x4a6fdebd,
+    0x51352686, 0x7c8053b1, 0x45c7c2b5, 0xd4228b85, 0x06915d95, 0x58684725, 0xbe801976, 0x0429d2d5,
+    0x60bf1eb7, 0x9017f233, 0x34ab81a3, 0x539a42dc, 0xb75a16f2, 0x53940a79, 0xe4de3c59, 0x2608627b,
+    0xc7491584, 0xc3b7e1f2, 0x64525471, 0x1673a371, 0x193079e4, 0xf97c31bf, 0x1f06a707, 0x05651c3b,
+    0x48f98034, 0xd9a316b3, 0x4f74439e, 0x497edfb0, 0x05743323, 0x46593d08, 0xc0256fba, 0xa6adb12c,
+    0xd8f066a4, 0xc2acca24, 0x0f939574, 0x6eca02fc, 0x82c7b785, 0xfd5de1ff, 0x7e84e337, 0x82210d0e,
+    0x7fd2f3d4, 0x56cfaf3e, 0x6264c5c0, 0x9abdeab4, 0x52e78e9c, 0xd829d906, 0xe1947cfc, 0xb2e67246,
+    0x46ad165a, 0x76be54f9, 0xa188cd7a, 0x02837322, 0xc513e2fd, 0x06110b3e, 0x26f336c5, 0x9547416b,
+    0x792d4c40, 0x0f1a0459, 0xb86fb88e, 0x80a1b4e9, 0xabd4ade9, 0xc144db49, 0x427d0bf4, 0xe48b0fac,
+    0xc75a3e8d, 0x258138d6, 0xbf4911b4, 0x81b5c969, 0xe9d174f4, 0x0bcde84b, 0x75fba173, 0x994c2113,
+    0x8ff4a833, 0x92d8ec57, 0x88ef60a4, 0x1276b214, 0x585832eb, 0xccf01d7b, 0x2553d22c, 0xa121d85e,
+    0x876b597f, 0x7d394548, 0xc8d3201c, 0xd237e5b6, 0xd41e9586, 0x41891ea0, 0x05637d14, 0x522e8ea1,
+    0x8b486b76, 0x96b5bab8, 0x72e8e3fa, 0x6990557d, 0xda5343cf, 0xf77008c5, 0x0e4a4622, 0x2736ddbe,
+    0x263e40b3, 0xa960acec, 0xeacdbce4, 0xc6d3979f, 0x8d3036a9, 0x6c26a11f, 0xf97f9fef, 0x5f187237,
+    0x4f3cef5c, 0x269d9b3e, 0xec0f1e21, 0xa21114b0, 0xae5949fe, 0x86137a90, 0x59896068, 0x1f53ffc3,
+    0xb92e1e13, 0x180139a9, 0xfdf54af8, 0x8cdba031, 0xadec62a9, 0x87c13ca2, 0xe2516e08, 0x4457e6cc,
+    0x34f898bf, 0xaf5b4c01, 0xacdeb108, 0xf8da1e1d, 0xc118e1de, 0x6443f6b1, 0xca385138, 0x107ec438,
+    0xff53087f, 0xec82302f, 0x3e2fc823, 0xd28dbbbd, 0xfabb0a88, 0x7cffe8b0, 0x4a9dff30, 0x231e8057,
+    0x15034e43, 0xfa0c8f6a, 0xf96af113, 0xbb046210, 0x6a9d76d3, 0x680fd5a3, 0x1ded1912, 0x17ee078c,
+    0x44ff79e1, 0x2077a29b, 0xf80c0baf, 0x2b43af32, 0x77740555, 0x098310e9, 0x68b48bc1, 0xeb17a99d,
+    0xb10674ad, 0x8fbb8eff, 0x381fab3e, 0xe2778acb, 0xe56a0207, 0x8fc9b69f, 0xf72c3fb0, 0x4f00aeb4,
+    0x63ffb4f5, 0x083b0663, 0xb2204e7a, 0xddc48278, 0x5e7b6027, 0x94875f39, 0x797e22ed, 0x3d51438b,
+    0xa90e79fa, 0x798eea40, 0x0c8fddee, 0x5335c93a, 0xe8350128, 0x46618167, 0xc11ab6ef, 0x0802c947,
+    0x13d08124, 0x20cff1a9, 0xcdd76cfb, 0xc468d5ae, 0x86aa5c52, 0xf865ac93, 0xa894c700, 0xa6fcbd2f,
+    0xc9a7d186, 0x05ecf26c, 0xf50d2c17, 0x4720648f, 0xc71c3fae, 0x79bb0b81, 0x2a2351cf, 0xdf4506dc,
+    0x8187c80d, 0x9fa902b1, 0x8b2c4383, 0x232191fe, 0x64e35915, 0x451c1cb1, 0x6322a114, 0xd3a05d46,
+    0x1417ec64, 0x0b1ac05c, 0xdd842eb2, 0xb6508ddc, 0x15c33940, 0xad3576c5, 0xdb1224ee, 0xf6bf2c2a,
+    0x6b7e3408, 0xa956d586, 0xb7456284, 0xc5bd1142, 0xf8bbdbec, 0xa4f45f5d, 0xb267c23b, 0x6c62dd1a,
+    0x9d2e6c9c, 0xdc8ad46f, 0x642f6733, 0xc6e0f6e9, 0xd4e02bac, 0x64a520cb, 0x5715911c, 0x8e1a0e9b,
+    0x4c4e092f, 0x2bf1ec1a, 0x4667923c, 0x0a778240, 0xfd5d48e2, 0xbae49aea, 0x2d231a54, 0x950eedf7,
+    0x3c74f7b6, 0xfd466e69, 0x1689c832, 0xf2b747a8, 0x7ff0b973, 0x40927502, 0xd4eb7799, 0x7b5ba4cf,
+    0x8da6b27e, 0xdd823315, 0x3f0d58ca, 0xc4a88b3d, 0xc17a64d2, 0xabc2d6c1, 0x0b4cc27e, 0x6f9daf7a,
+    0x24d35e68, 0x8bc059be, 0xe8155084, 0xb6e8ca1b, 0xfabde536, 0x9ec3e52c, 0xe0d15e54, 0x52346c36,
+    0x17add691, 0x4aa83d24, 0x2f1df2a9, 0xe863ae14, 0x62f91e1f, 0x89fdf9af, 0x13ebf230, 0x6a34da1d,
+    0x3a2073a7, 0xa8624e80, 0xdce30aef, 0xf43a8248, 0xa36bc57c, 0x6b553e54, 0x3516c947, 0x04dd57d7,
+    0x4c181346, 0xbfd9b6c8, 0x05eab68f, 0x54dfd0ca, 0x1dea49b9, 0xfde36c25, 0x2ed56e90, 0xe2b35565,
+    0xe9a5d6ef, 0x09241a2f, 0x7cb1f79b, 0xb53258be, 0x415f2c7d, 0x64aee1ef, 0xaa4c048f, 0x49aa2a47,
+    0x0de78f97, 0x4619bfb0, 0xd328a2d4, 0xdcdde4d1, 0x1bf71824, 0x4c4b058b, 0x2f47adfc, 0x5f832e89,
+    0xdfd09a54, 0xdb86a6f7, 0x84d3658c, 0x639fe5dd, 0xd9890021, 0x59e84bbe, 0xbb20ad0b, 0x741fed47,
+    0x9b2940ad, 0x22db77b0, 0xe67f0887, 0x11b9a7dd, 0xd6140b12, 0xe3789c50, 0xefb03304, 0x66744256,
+    0x7a6db006, 0xc0108ce8, 0x5f87bf63, 0xaebdad7c, 0x80c918e8, 0xf9802e6c, 0x5bdeecc4, 0xc2a5efb3,
+    0x031d112c, 0x9c17b9b2, 0x0cc41e44, 0xd7007910, 0x9bb8ba8d, 0xb686e6f4, 0xd27737aa, 0x3feb912c,
+    0x926c2941, 0x6f2bd2bb, 0xe3d4618a, 0xbe2ff7e8, 0x5f4d01ee, 0x36e57adc, 0xaf1fec74, 0xf9755543,
+    0x34ca405e, 0xc8059f30, 0x7852fcf9, 0x31585d65, 0x7f60f40c, 0x2c6b942b, 0xb6376dc0, 0x02ca1609,
+    0xf8937740, 0x3a87d84f, 0xd95b41fa, 0x458e757d, 0xc1159e42, 0xc150f4c3, 0x811088d4, 0xecbdfb17,
+    0x15465ca7, 0x57821185, 0x6e741094, 0x2f0e7218, 0xdeb4369c, 0x530e24bc, 0xd9c21677, 0xbede55a0,
+    0x0508faf8, 0xd8ad358f, 0xdb2c1495, 0x3852fa21, 0xe049ccb7, 0x2ff6c9ec, 0x92990b17, 0x380fafe3,
+    0x249229fe, 0x923a42dc, 0x342abd55, 0xe4b08d14, 0x50fb5464, 0x378313da, 0xe741d947, 0x2c49df98,
+    0x67f55cb0, 0x86e7f969, 0x97c566ea, 0xab9f76e6, 0x5996a236, 0xa54e1791, 0xbd003334, 0xc01c8e07,
+    0x535482ed, 0x503fbb10, 0x6f74ef72, 0x7acf5cfb, 0x0651cca6, 0x033c036b, 0xc0adf9b8, 0xb0815d18,
+    0x2186af2c, 0xe0daa742, 0x0276e80d, 0xece39fc1, 0x6d2bbe5b, 0x6aaaa3f3, 0x107d07d0, 0x0eb83908,
+    0x6dec675c, 0x6951b20a, 0xc0f181a3, 0x4dd60f7d, 0xd0a5fed8, 0x5bb5402a, 0x8f22b307, 0xb9ad5a7e,
+    0xdc71ce60, 0xb7f45254, 0xe30d6aa5, 0xd3ff3428, 0x8f59520a, 0xcbd069af, 0x58d98805, 0xe6221965,
+    0xfed6a2a1, 0xd3d2ca45, 0xdc6fab42, 0xbcee5a46, 0xd5b898fb, 0x48ff0854, 0xecf932ee, 0x9ac1906d,
+    0xe104c993, 0x2f84b415, 0xcfe8d5e1, 0xef36843d, 0x94398344, 0xbd2c62b3, 0x7b1eb7a3, 0x5db53d60,
+    0x975c59ca, 0xe4c6ba92, 0x9eccc70f, 0x253d3c84, 0xddb5a7fb, 0xfde40629, 0xa3fecd4e, 0x549d8e9a,
+    0x655d440b, 0x62d06b0a, 0xb310a910, 0x019d0541, 0x30ee6b48, 0xb3143e63, 0xf8206975, 0x036419e4,
+    0x55ec1d72, 0x702e69a7, 0xb0ea89bf, 0x3ab7659a, 0xb381b4f6, 0xfab63854, 0xa5db343f, 0xd4ac7324,
+    0x5fe95c06, 0xb84f1c1d, 0x5195b651, 0x2e89850b, 0xf3649098, 0x8f85e15d, 0xe0a081d2, 0x8027a3b6,
+    0xca52cabb, 0x561bd0a4, 0xa567d276, 0x65a47240, 0x0dc962fd, 0x5aa9fad9, 0x04ae05d7, 0x10cf83d3,
+    0x7e8a0810, 0x73e53c5c, 0x0cc3034c, 0x765abf02, 0xa59edbf7, 0x6967248e, 0x9594ef07, 0x7484b391,
+    0x889c28dc, 0x0ee90f2d, 0x8aa48de7, 0x52139f64, 0xcfc1eda8, 0xc3d1d7fa, 0xf4e75949, 0xf44d45db,
+    0x08bd022a, 0x1745e94b, 0x99308cab, 0x4699de37, 0xa10145fa, 0x6cb475c5, 0xbb2bb554, 0xe6202da0,
+    0x9309d58d, 0xf2232d1d, 0x6976ed35, 0x702e3c24, 0x38072340, 0x4e5e65d4, 0xa871889c, 0xdd056530,
+    0x198cf8ba, 0x6acf9fd3, 0x3e5cc324, 0x2fd8db43, 0x2b6151b4, 0xb978c288, 0xaf705dfc, 0xa7555f18,
+    0x646555ad, 0x7db3a2cb, 0x300a1cce, 0x7d2878a9, 0x464a8ca1, 0x2da34583, 0x77fd3f68, 0x008721f1,
+    0x97e653d6, 0x88b6e475, 0x008be8c0, 0xadeaab66, 0xf15a96b8, 0xd4818723, 0x2434c2ff, 0x11ae5824,
+    0xf1769125, 0x718d5e92, 0x27c47c75, 0x53907935, 0x899abe20, 0xa223129b, 0x0245ebb5, 0x2aa5e8e9,
+    0x3c399949, 0x20dafdbf, 0xa6cc3e79, 0xf89a2e03, 0xa09a2177, 0x76411bb9, 0x7b4ba4c7, 0x159532e0,
+    0x098badee, 0xff33778e, 0x4925ea18, 0x2140e8aa, 0x34e91535, 0x8bfa36d3, 0xbca44167, 0xce3967d8,
+    0xf809957e, 0x74dc394a, 0xf7c217f1, 0x371941d1, 0x4362a203, 0x1e7b5a68, 0x7a80e2f7, 0x4686235b,
+    0xa220ce63, 0x78134ea5, 0x24377d82, 0x6c4ae9ae, 0x18d456ff, 0x98f422da, 0xe1448227, 0xeececcc8,
+    0x0cc784ee, 0x05fbd182, 0xfaf6fe06, 0xbcea7cbd, 0xb4ec11da, 0x901309fc, 0xcf38346a, 0x45a8af09,
+    0xea787ec4, 0x2f361966, 0x0d10c9e8, 0x2ebe53c0, 0x9770f077, 0xe55f268a, 0xe1f8979d, 0x89d948ac,
+    0xbab8d903, 0x32d176de, 0x0e4c26d6, 0xc877c560, 0xb56e38e5, 0x310bd824, 0x2fc2d739, 0xb8edb799,
+    0xe22e4ad9, 0x4b810fe3, 0x0002052d, 0x3d0886da, 0x66aceca7, 0x000a1083, 0x893def73, 0xc560a1ed,
+    0xd33ca2f1, 0x0d107275, 0x9c7a7b8f, 0x1adb7f8f, 0xcbade248, 0x764d5ce0, 0xf03b32ea, 0x3a6e6b83,
+    0x70c45cc8, 0xb6e2542c, 0x5a1ec6bc, 0x435bf2cd, 0x2ed15159, 0xdf9a8dac, 0x6239ad29, 0x9eedc55e,
+    0x590199a8, 0xd5569f27, 0x55942f76, 0x0d8d28b0, 0xe208ffb8, 0x10242ff4, 0x5e129587, 0xfd24df75,
+    0x38e11645, 0xf20f3fd0, 0xc33b2071, 0x41755ecb, 0x183e0531, 0xddfcf004, 0x37a9759b, 0x1ee42d1b,
+    0x72e63a41, 0x14c7c1c2, 0x52e02f86, 0xe66c3450, 0xb0955a35, 0x263c9e0e, 0x2ecc7727, 0x540b8d69,
+    0x437272df, 0x252abbba, 0x4875ee75, 0xd152bca1, 0xd25f8e86, 0x031be574, 0x6fcebf0d, 0x53176c2e,
+    0x5feb920e, 0x5a2b66e6, 0xdb5aa015, 0x0dbfab5a, 0x844c6aa0, 0x59127ab2, 0xd05766dd, 0xe94f6bfa,
+    0xa2225ef1, 0x7f535b68, 0xc6259d0d, 0x88239c31, 0xbe058a72, 0x706799fc, 0x185807f7, 0x2dc19502,
+    0x5e91dfce, 0xd3a54540, 0x66a83aee, 0x7708e001, 0x30219893, 0x1cd0bdf9, 0xea5075e5, 0x85cc806d,
+    0x576ec45f, 0x2e4efc0d, 0xb766c71e, 0x921f3ca5, 0xfbed121d, 0x329f5cb3, 0x421f859a, 0x427eca72,
+    0x76f7175f, 0xac883c0b, 0x712ecf84, 0x7fea88d1, 0xce2bea35, 0xa4144d19, 0x6ea95a1c, 0x613e4ad2,
+    0x785bf0ce, 0x23c481b8, 0x5779c6b2, 0x9d07c137, 0x068bbed1, 0x0db7fc6a, 0xb46bb38a, 0xb37d6a16,
+    0xb195e8a4, 0xcde58a4a, 0x692178f2, 0x4755a0d8, 0x81bbf244, 0x2014daef, 0x3c8774d9, 0x1dcedc1f,
+    0x6b3e65bf, 0x5ec96890, 0xacaa0b48, 0x5ebe5cf2, 0xb9da70be, 0xc420fd9a, 0xd406831a, 0x5117e36c,
+    0x49631af0, 0xff334ea0, 0x6cea76a6, 0x5d97bfa7, 0xa9470429, 0xc028a20c, 0x37f3b672, 0xe6274b18,
+    0xa1b823b0, 0x9ca9476e, 0x50533cb5, 0x961eb1d8, 0x1fc8f4f6, 0x163fdb01, 0x0a1db4d5, 0xf10ed634,
+    0xa8872cfa, 0xbfe52b40, 0xbdf1ef5d, 0x863bba72, 0x28112411, 0x73962311, 0xc71744d8, 0x8a0aa051,
+    0xb1779f58, 0xc2ea53bb, 0x111030d7, 0x49999c89, 0x7c9549a0, 0xc5ab6edc, 0x68e9cdb7, 0x30729c92,
+    0x7d10cc2b, 0x0033bfc8, 0x513f8c59, 0x24ab66f5, 0xfd345de1, 0x61951a36, 0x3e28ee2a, 0x5cdca7da,
+    0xfa414a96, 0x9451f673, 0xf304e9af, 0x9906e04b, 0xb7c8e1e5, 0xcd0ddac1, 0x32ef45d2, 0x946242e2,
+    0x60732832, 0x62f58ba4, 0xaa194cc8, 0xeb879bc9, 0xf7efcb9e, 0xd826be40, 0xb7c5027c, 0x2b5b6d3b,
+    0xc64dc3b9, 0x7da166ff, 0x5591e2ac, 0xa04472a8, 0x785b4b9b, 0xa18ce797, 0x2a0ee93b, 0x80c8d8ab,
+    0x1572c4d0, 0x80fa8e1d, 0x4c6a3f7e, 0x8faa7e8e, 0xc4c84b44, 0x26d3d0f1, 0x83ddcd56, 0x1c69df37,
+    0x0a95f7a9, 0x99f670e5, 0x13ef10a9, 0x2645c9de, 0xd4124b63, 0x8386873a, 0x9e511548, 0x550bd478,
+    0xf648e790, 0x1389857d, 0xe075c60e, 0x24644eab, 0x54528782, 0xe42e02f7, 0x3045ab1f, 0xa57938b4,
+    0x9bcc90db, 0x8f30cce0, 0xcd640c55, 0x91fc9d3c, 0xed2d292a, 0xc04fe7cf, 0x6595279b, 0xd49dd15b,
+    0x8359911a, 0x58968a42, 0xd55571bb, 0x4be951a7, 0x84df5def, 0x1c5d71be, 0x2f7374e8, 0x3aacec23,
+    0xcdeee6b8, 0x29e15d2a, 0x59563b1c, 0xb6a5fad9, 0x9f50567b, 0x04d845cb, 0x183c72ce, 0xd93ad760,
+    0xe89d01a6, 0x239ceb29, 0x1f139a02, 0x7f938c29, 0x6bbc07c1, 0x2bef4f98, 0xc94fb985, 0x1ebbc4e5,
+    0x3ce66f05, 0xf36acaaf, 0x9d6318d9, 0x8c1382b8, 0xa7b2487c, 0x4ffa33f9, 0x2410c488, 0x400f0a56,
+    0x0411e17a, 0xad4e7bb0, 0xc74d754d, 0xd6ec2f0b, 0x4cfa3be0, 0x20ecde6c, 0x4f58e004, 0x21320ef9,
+    0xb63a6f7f, 0xd2a87ff1, 0xd5ef1f3a, 0xddb0bac2, 0x498e276f, 0xbcfca145, 0x4afbebba, 0x6d700b8b,
+    0x551745d9, 0xf6716aaa, 0xa5648629, 0xe12779ee, 0x7ec60134, 0xefcd4720, 0x533ddf96, 0x320a7b08,
+    0xad325bc2, 0x367701da, 0x6629ef78, 0x25d4c5cd, 0x01be4bbd, 0xf09159d2, 0x39cee81f, 0x26b8c6b2,
+    0x899bf3dc, 0xbd0429f3, 0xcbf9dda8, 0xe9428705, 0xbbec7ca0, 0x79d1f503, 0x8f4a154c, 0xc3243db1,
+    0x39c79c4e, 0xf39c1536, 0xd470e5f3, 0xc0d6871c, 0x02f28800, 0x1b3cef56, 0x8f0042e3, 0x1ea6cef9,
+    0xe7a47b11, 0xd152c938, 0xb9069f26, 0x9fa80cc9, 0x0b81b08e, 0x5e470b4f, 0x428a1662, 0xec1656d1,
+    0x74745586, 0xf3a34a95, 0x5d2da9c2, 0x3b074021, 0x340e3f5b, 0x96b5eaac, 0xa5d9789f, 0x10e0e308,
+    0x6fb4087e, 0x50cc4830, 0x0e8050ac, 0xea64818d, 0x655554e3, 0x963c29b9, 0x8b707cbc, 0xa48e089a,
+    0x6d1934f3, 0x4b807ea3, 0xf5b52fd5, 0x3dd8ece4, 0xefe0ea0f, 0x962356cd, 0x606cf3f9, 0x26ff6a4c,
+    0x07afc6c5, 0x00ba376f, 0x13afdf93, 0xa3a3210f, 0xdbaa558b, 0xb3c1068f, 0x5783a749, 0xf58a326a,
+    0x00000000,
+    0x0001a933, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000032768 */
+  { 0x00000000,
+    0x5a9880eb, 0x493d3e0f, 0x9c4eb901, 0xa0ebb066, 0xac622947, 0x552c82a3, 0x731d28ee, 0xaa016bed,
+    0xa1fb86c3, 0x83ca10ba, 0xeea24ea2, 0xf0870690, 0x4f1013dc, 0x2b8a5dc4, 0x8f5d5a56, 0xdb6f6052,
+    0x32f6e89f, 0x9c13750a, 0x093a14cc, 0x77d550b1, 0x3d972264, 0xefdacce2, 0xb3090901, 0xec663d4b,
+    0x10521d33, 0x49ac9a2b, 0xc13d3cb4, 0x4b24066f, 0x74a03be6, 0xf84e14c0, 0x67bee704, 0x8f8b4e17,
+    0x32106787, 0xa97f3e88, 0x1cbb136f, 0xff8c3290, 0x5df6cc74, 0x5ca5693f, 0x76d5b9ac, 0x12c8df9a,
+    0xe59ee750, 0xecbda9e3, 0x63c97f76, 0x59a0be4a, 0xe25a34d2, 0x5dc61e75, 0x1b420e84, 0xac88f767,
+    0x4e4ac11d, 0xfe445a63, 0x478dea95, 0x94f34acf, 0x61d1a257, 0x88cc18af, 0xc69adf63, 0xe90353ed,
+    0xd3b9338d, 0x111b705f, 0x0913d41f, 0x96981f5b, 0x1bd45030, 0xef50b078, 0xc61d10f2, 0x83979d95,
+    0xa9091971, 0xdc1a26e3, 0x02361f81, 0x96bfa93a, 0xf1afba92, 0xacfe5ce8, 0x956c55a7, 0x569cc555,
+    0xbf8fbea1, 0x45c8aa63, 0xe161ceba, 0x36f60030, 0x6e77eda9, 0x500fffa3, 0x93e0e6e2, 0xe7cb0a5b,
+    0x1c5e4a0d, 0x7cc5c958, 0xb2d4ab52, 0x3a1c30a9, 0x7424db78, 0x21722f70, 0xf7fa0863, 0xfbe2cd3d,
+    0xe4b6dbb8, 0x0c5d5931, 0xed82f4c4, 0x6c1e4f08, 0xa8c07079, 0xd0bd32c4, 0x5180b7c1, 0xecf1469b,
+    0x240c468d, 0xb37d252d, 0x28f6d35e, 0xd7f42363, 0x1fb06441, 0xb83d37f2, 0xd3363d82, 0x5e0687fa,
+    0x003a0056, 0xeedd554e, 0x0ef156b9, 0x2e7db518, 0xf6011c4a, 0xc01c98d6, 0x0ba7e9a9, 0x3ba6834a,
+    0x93a9c253, 0xff6d2f03, 0xe98bd2a9, 0xd394dba8, 0x433f270d, 0x5bb4dc1b, 0x1b8631dc, 0x48abca93,
+    0xecf706db, 0x3c830387, 0x2fd34c84, 0xc2fecab5, 0x4f411763, 0xe25b842a, 0x052e55a2, 0x085a4acd,
+    0x97d5be20, 0x492f72d9, 0xc3d33c19, 0xb154b0b0, 0xd61eca01, 0x98787b5d, 0x0d5eefdb, 0xbd72ed0a,
+    0x93ac17cb, 0x3b2f16ef, 0xf66fd2bd, 0xf5a17286, 0x4e8feeae, 0xf7c85888, 0xabfa5fc0, 0x918bb52d,
+    0xb1f84fa9, 0xe5faa1e1, 0x99ec0461, 0x6ac0a7e1, 0x622037ab, 0xda6920c7, 0x1fd944ea, 0xc0542a18,
+    0x9111b48e, 0x3357ca98, 0xda20c668, 0xec241daa, 0xb6282478, 0xcadcceb1, 0x83d1eed6, 0x52f729ce,
+    0xd7cde43a, 0xcc4873b2, 0x6813c4e6, 0xc4cae9b3, 0xbfff254c, 0xeab040a6, 0x3c048737, 0xcd0716ed,
+    0x801fa997, 0x01ec994c, 0xe962b154, 0xc40a55c3, 0x9994ab13, 0x6bdcd3c0, 0x1b4c899f, 0xde4dc3eb,
+    0x56328032, 0xdc3c2d71, 0xb17f2117, 0xe501349d, 0xa1757565, 0xcafefcda, 0x6151252d, 0xe6ac862d,
+    0xa9499f9e, 0x43a15896, 0xf3fad973, 0x6d7f7f0d, 0x685e8d30, 0x7a642527, 0x02236d71, 0x84f1f628,
+    0x68bb2aaf, 0xe3fa3116, 0x659a279f, 0xfd87541a, 0xf13ef25e, 0x6e0ff486, 0xaf3497f5, 0x74519d69,
+    0x3849b1d6, 0x269b5b9b, 0xdc5d67ce, 0xf809eec0, 0x6f3b023a, 0x6761d796, 0x929f8665, 0x516a7571,
+    0x0d8ba034, 0x20086558, 0xfd52395b, 0xa616010f, 0x908be10d, 0x2dea692c, 0xbc8d0faf, 0x111fccff,
+    0x008d8adf, 0xc9042efc, 0xd3196235, 0x8b2188d9, 0xfd688010, 0xc3745363, 0xe5e2c22d, 0xe7e7d39f,
+    0x2b39519e, 0x908b2306, 0xde1da8c6, 0xfa21864a, 0x342d4036, 0x0b73d23b, 0x9dc7c488, 0xe73c94c7,
+    0x5672d690, 0xe36f0e25, 0x306bbfa7, 0x8f4913e1, 0xb256e951, 0xbbef9022, 0xd1a7e6e0, 0xc3fe4e61,
+    0x1652c454, 0xb39a66ed, 0x7ff094c4, 0x39f1fd28, 0xcddb1070, 0x084ff8ca, 0xb8f28509, 0xfa5f6b26,
+    0x2fd19179, 0xa155db15, 0x5bb9446e, 0x50211de6, 0xdf7fff35, 0x3a073552, 0x79beb114, 0xfcefc01c,
+    0xad67fb68, 0xe5535019, 0x4a442a5c, 0xb40c5073, 0xe2eac21d, 0xce19f43d, 0x73fcd894, 0xbf7e7dc6,
+    0x5afea765, 0x5489c4f8, 0x88fc9612, 0xf4425799, 0xc9f0793b, 0x2fca8eba, 0xa26337f3, 0xfffcb336,
+    0xf858f6d3, 0xeac0bce3, 0x642d3bbd, 0xd6d7c9d0, 0xf243b91f, 0x17bf63b7, 0x4eb3f1ac, 0xa8ddf40e,
+    0x41dd7da6, 0x5567ac80, 0x64145fd9, 0x42431edb, 0x56c57bb7, 0x203dfe16, 0xfbcb9f46, 0xc6324271,
+    0xa4229a45, 0xfdd5a7f4, 0xe1163bb0, 0xa70ec85b, 0x8de69a14, 0xed89088e, 0x988062fa, 0x9ed13929,
+    0xfaec0e3c, 0xfc169456, 0xc38f22ab, 0xfa87ea6d, 0xdf6fae38, 0xd1bb20c7, 0xb4ebebe0, 0xa5aeee06,
+    0xa1e8c0ec, 0x942cad8e, 0xd859f1cc, 0x29aeb166, 0x691df264, 0x80b12f12, 0xce96fe7c, 0x0ae16172,
+    0xbf5751e2, 0xde13baf7, 0x2564c3f9, 0xe38436d5, 0x7d7703e0, 0x84fdad99, 0x84519ade, 0xbcadf9e8,
+    0x06d88c0c, 0xb233bdea, 0x9fb09175, 0x3a2b14d9, 0xa4fb946c, 0x9e608b2e, 0x10aa0ea9, 0xe1bfa12a,
+    0xa81eb554, 0xaaef5b66, 0xb747a9c6, 0xae6d89f6, 0xbf6d13e6, 0xfd1f5059, 0xf561b95d, 0x37a5fe72,
+    0xf4ffd38a, 0x20f08d8e, 0xac317026, 0x94f2f487, 0x8bd2ca37, 0x5c11f79f, 0xfd0f23fc, 0xe5e3981e,
+    0x884df3ae, 0x1aadf10f, 0x10187561, 0xbdd4cc60, 0xda8dd8c1, 0xb949d6fc, 0x6d03b3af, 0x40ce616d,
+    0x5e1c1e5b, 0x717e8d09, 0x412e8c60, 0x433a604a, 0x81377359, 0x4ab5d637, 0xbda88675, 0x4f271747,
+    0xc96f0cbe, 0x052d7ce7, 0xdf2c6285, 0x43aab98f, 0xe16d68ef, 0xbc230a5b, 0xdbb4b7b9, 0x0141d679,
+    0x5943517e, 0x4836ae4e, 0x005fb98a, 0xf1131676, 0x90f10c5f, 0x7d0a6e58, 0xe9794536, 0xc3fde8b7,
+    0x5b06312f, 0xea84f5fe, 0x9bf3c0a1, 0xb75d10a7, 0xcb80d58e, 0x8e34e01e, 0x628bd593, 0xcc775654,
+    0xc4ab77fb, 0xd02f7cce, 0x8d5a7a0d, 0xb57326a9, 0x2bde5f04, 0x39a12b5d, 0xa9ef1bc2, 0x0035cfda,
+    0x7053b974, 0x57a317b6, 0x1d7393cb, 0xb478a083, 0x7c6aad95, 0x6a8f355c, 0x32358bfa, 0x4304358a,
+    0x1a3b3a64, 0x27518a39, 0x1187f906, 0x28d44c81, 0x2a957db8, 0x4eab78b6, 0x93d81272, 0x29574ae6,
+    0x3ab10d9f, 0x4b5b1648, 0xd5752961, 0x074ceb06, 0x35a453f1, 0xac80d355, 0xa8c2e5eb, 0x6cdb42c0,
+    0x7011d480, 0x62e48078, 0x1e1446a1, 0x502dccce, 0xf9d704ff, 0xcbf9fd49, 0xcf6adab4, 0xc573f642,
+    0xd86d79bf, 0x0989993f, 0xb2c641f5, 0xc250b099, 0x3db51707, 0x3d94a4a1, 0xd8fc2f72, 0x88b7db8f,
+    0x28065e97, 0x7cd134f8, 0xd6417813, 0xfbe3df85, 0x9df06bff, 0xd2cd8b22, 0xaef1bb18, 0xfd61e779,
+    0x7a8ee2ab, 0xc970f904, 0xe454aa1a, 0x5106330a, 0x2b43516c, 0x91c2fcc6, 0x6fd3af4c, 0x7487a509,
+    0xf9595085, 0x83e0730c, 0xccc02b2e, 0xc2dc352d, 0xbbc788a7, 0xa7cad5c7, 0xfd615df4, 0xe73e67d8,
+    0x0ea3ae67, 0xb02dbf0f, 0x4cee1ee8, 0x62fa51ac, 0x13d0fe99, 0x750d5752, 0x3b9e6512, 0x43c99c58,
+    0x12ba0843, 0x3edbad3b, 0x601d5eb7, 0x986ed0f7, 0x4c12af15, 0x6921a739, 0x170da98b, 0x4e6fde1f,
+    0x2833edbe, 0x24cf7807, 0x4a49406d, 0xd60c188e, 0x7803d26d, 0x2206b63b, 0x7309aa85, 0xce75b0b0,
+    0x1197841e, 0xf64922bc, 0x090074c3, 0x2b779aeb, 0x111bb6bc, 0x9844a848, 0x8300835a, 0xa26e5a25,
+    0x574d3694, 0x532507f6, 0xa23852c4, 0xbb9ade79, 0x8a9be464, 0x9474abd5, 0xfc2dc3a4, 0x79a82b6e,
+    0x33b0b816, 0x2f7df8f7, 0x222a9c69, 0x6cb9b17d, 0xaa20154e, 0xdcd33d76, 0x8124f4c1, 0xf66e9bdf,
+    0x5955221d, 0x7681c7b1, 0x47e000d0, 0xb214113b, 0xd9c36eb0, 0x9edfe418, 0xb45efe6a, 0x556b1edf,
+    0x0ec76dba, 0x95e4a2ba, 0xa32c45ad, 0x6e280ae4, 0x0c6c71f8, 0x401769f3, 0x3d4949bd, 0xd3bd2da1,
+    0x603fcbfc, 0xc02c34ad, 0x53c65d92, 0x04c15d2a, 0x346fdd5f, 0x2e20aee0, 0x540e2ded, 0x67f63b4b,
+    0x4c1fdb59, 0x67f6f208, 0xc025eeb4, 0x981cb7ce, 0x61e135c4, 0xd0647b82, 0x91d96ec5, 0xf971e24b,
+    0x036beb82, 0xe14c7c08, 0xfc2ac14b, 0x8af4f0c8, 0xc26efa9b, 0x51cfdcbd, 0x54529724, 0xd4d8a681,
+    0xb61fc5f5, 0x45a6314a, 0x2116ee52, 0x2b7bbede, 0xf6d2e05e, 0xa87149db, 0x1c3b6cd9, 0x099c9432,
+    0xd1ded96b, 0x3cabf3aa, 0xb46ed74d, 0x94d8212d, 0xb8fc528b, 0x2ef67d28, 0xeb6d8199, 0xad289339,
+    0x3690f5c3, 0xf0673582, 0x96798dd9, 0x17051c17, 0x8d620e2a, 0xe07da1a0, 0x8c2b28ca, 0x41a2c205,
+    0x211b7a0e, 0x8577c675, 0x580edc4e, 0x12cd4cc4, 0xa19df489, 0xbbd033e3, 0x026a57e3, 0x26e1872c,
+    0xb0b98957, 0x70aff294, 0x45ee40dd, 0xf5cd6b0b, 0x39a1e3e7, 0x1cbf67a9, 0x713a8ecf, 0x9d3ccb63,
+    0xb0528b6e, 0xe9cc907d, 0x28389b36, 0xc10f5985, 0xcb831b8f, 0x413e5caa, 0xe999a7a3, 0x609d2ef7,
+    0xa44c63ba, 0x2466f1d4, 0xa2e2136c, 0xfc850b48, 0x7e34a0d6, 0x4b007849, 0x062e5f0c, 0x09ce6a8d,
+    0xf1456239, 0xba257127, 0xa840922f, 0x8d31617d, 0x0a7f72f1, 0xc62eef73, 0xd2fc3932, 0xe051e0b6,
+    0x2070220b, 0x0abe0aaa, 0x1c4abc72, 0x5a1836c6, 0x320643dc, 0x1fbe9a37, 0xe9b82895, 0x43460adf,
+    0x91333c0a, 0x02238cc2, 0x392d0a55, 0x2afea115, 0x67295290, 0x1b89be29, 0x9d85d274, 0xcd5f4ad2,
+    0xf8506eed, 0xe5ff4091, 0x86a30dfe, 0x229116f8, 0xa06fedff, 0x133d83d1, 0x0eaee4f5, 0x2036c249,
+    0x19e6efa8, 0xb4a9cd17, 0x8ae0ad34, 0x58b41416, 0xc7b39fa5, 0x8a098e80, 0x34b1098f, 0x53632abe,
+    0xa17237e1, 0xbed0c5f1, 0x3fea6c3c, 0xda7a71ef, 0xdfa63f61, 0xfc2638f8, 0xb738c913, 0xfd7e5690,
+    0xcefd0d71, 0x257501d1, 0xc85330d3, 0x0910f34a, 0x119bb4ad, 0xc1a20dcc, 0xa96601c7, 0xa400aece,
+    0xfaa32b64, 0xa6f55b35, 0x03e1272b, 0x014721dd, 0xddd4415c, 0xbfde17db, 0xbaa22abe, 0xc4fa2e76,
+    0xce5d79ed, 0xeedd2f13, 0x2cdef756, 0x2a404717, 0x4d908101, 0x68fd78ae, 0xbb9cb446, 0xd8f066ec,
+    0x925ae807, 0x9bbc7fd1, 0x595d9267, 0x406f35c6, 0x237d023a, 0x2eacb008, 0x5f4377a8, 0x2424b66e,
+    0x9885e095, 0xa9dcbfd0, 0x44b2459b, 0xc88d0a67, 0x35a77c12, 0x1006cda9, 0x90835fc5, 0x3c120323,
+    0x720bfc3e, 0x8a35ab3f, 0x753a1934, 0xdb65d387, 0x84833e4a, 0x243cf414, 0x934794bd, 0xb1d46ea7,
+    0xd8fa1235, 0x37b72819, 0xefdeb1f3, 0x492678e8, 0x4b3171b1, 0xacb3bef6, 0xf583c39e, 0x73f0e919,
+    0x54095566, 0x245607fc, 0xb78de6fc, 0x3fdd6608, 0x8eb55419, 0x2782e9d3, 0xd40b0bb8, 0x8b177681,
+    0x52d7ab5b, 0x04a29047, 0x8f4e29a4, 0x2d12fd67, 0x97076d6d, 0x6fbc80cd, 0x692d6bf4, 0xfcebad47,
+    0x01ba7046, 0xc34a2787, 0x44df5921, 0x48b06c9b, 0x56b8dd5e, 0x39d3c8e2, 0xfe3f97ef, 0xcf8dd0c3,
+    0x34d4f757, 0xae1ea2ab, 0x8ec28a71, 0x609c84b2, 0xed1ff64d, 0x94be84b0, 0xf3d080e3, 0x6c823087,
+    0xf1eceac7, 0x5634b4ab, 0xd784240c, 0x3cbb4d0a, 0xfe5f431a, 0x99cbc5a2, 0x379380d1, 0xc521f634,
+    0x25be35f1, 0xa2171911, 0x87caa2f5, 0x0b2e8136, 0x80f871fa, 0x4041b028, 0xd53936c9, 0x1c1cfadf,
+    0xb6555f3b, 0xcbd3681a, 0x489da95b, 0xbad7e83b, 0xf5479408, 0xc5a25f90, 0xe1159918, 0x0425c4c8,
+    0xa244ffe2, 0xdd6ae841, 0xb404aa1f, 0xcccd1ceb, 0xaadcbc3a, 0x5842bd83, 0xc3c17de6, 0xe0916fd5,
+    0x181d244f, 0x5d50c32b, 0x04a35585, 0x7c2084ab, 0x3fd4a6d7, 0xc3b2ccf4, 0x467d6fa5, 0xe86b817a,
+    0x0d278cf9, 0x3b231d56, 0x07d93e0c, 0xd89d1592, 0xdf62f11a, 0x0131eb61, 0xe13b0f16, 0x82566bc2,
+    0xed9c36e7, 0x367fea87, 0x51efb774, 0xec11ad51, 0x7d0ac7c6, 0x6660a80e, 0x9c00e934, 0x77f9572c,
+    0xab955f3d, 0x790f8fd1, 0xb657b287, 0x5f1ec5bd, 0xcadbd864, 0xad06445c, 0xe182c4d8, 0x8113cfec,
+    0x46ea85f2, 0xfa528808, 0xf89ca608, 0x832883c5, 0x6511b590, 0xf248bf31, 0xf5f69d2f, 0x42aca1b4,
+    0x055bdef1, 0x209de321, 0x878c5bc6, 0x5fe7b8a0, 0xd9a0c6a1, 0xfd01516f, 0x0c01f5bc, 0xb1d0399c,
+    0x3d7e9c09, 0xb0fc61f0, 0x66e55efe, 0xb1f1940f, 0xdc238de5, 0x6c49639b, 0x15b884da, 0x53bd7dbf,
+    0x845bc9f9, 0xc69eef0b, 0x5c630d66, 0x9f16b2bf, 0xf7f4ebf5, 0x079a62da, 0x7fc79ec0, 0x04796a17,
+    0xa20ab436, 0x0c79ffb8, 0x70d34ee0, 0x3c045a92, 0x79dd620a, 0x30e8afdf, 0x13bdf92a, 0xe7125b02,
+    0x279fbc4c, 0x95464e5c, 0x1390269a, 0xf135ab78, 0x64e30377, 0x2a23d8e0, 0x4436c641, 0xfce430d5,
+    0x8310b6ba, 0xce27f39c, 0x27a4f128, 0x70d8a4c9, 0xba454b82, 0xdfbbf89a, 0xeb250399, 0x52e7d4d9,
+    0xd7c87ed2, 0x58b8d5a9, 0x9e912fbd, 0x2a10540d, 0x59cac55b, 0x1cbd37b0, 0x1b1e1b65, 0xbe0dd025,
+    0x0f602cdb, 0xb5c7e00e, 0x7eaead4f, 0x6b48d01f, 0xe2282040, 0xf7496669, 0x321fdbfc, 0x0d4eb28a,
+    0xbe378922, 0x5c75acfc, 0xf434ecd5, 0x81dd2e3a, 0x24144280, 0x82b66e92, 0xdb90fd5e, 0xf5568783,
+    0xd5ac6fa2, 0x0b0b1838, 0x206078f1, 0xfa96e17b, 0xfe9d61d7, 0x89535107, 0x03dd4606, 0xb24a88db,
+    0x5bde1d92, 0x76bebceb, 0x177b1875, 0x384599c4, 0xd2884c58, 0xb59b647c, 0x00480438, 0x4658c6b0,
+    0x96619024, 0xbe0ec912, 0x0ad359aa, 0xd2dd472f, 0xbad6a512, 0x87c36809, 0xcb0a7663, 0x4586cf3b,
+    0xd6b4fb11, 0xd7b5134d, 0xf39e12ca, 0xb50dab71, 0x9038fcff, 0x14d4faac, 0xb7f68baa, 0xf34a7022,
+    0x0afa8ba9, 0xf6200498, 0x0013e009, 0xc3941bb4, 0x8841ee8b, 0xf76717b5, 0x1a94c2b9, 0x37e0631e,
+    0xc75df083, 0x67af6401, 0xcd83c7d9, 0x04e5fba2, 0x7f59f3eb, 0x1eb9c8c7, 0x7426a518, 0x4b3c666c,
+    0x0419519d, 0x5ba22d74, 0xb76b47b5, 0xaa47e8e7, 0x8feabd5c, 0x2442e3ce, 0x9aa41f61, 0x8e13d08c,
+    0xf9d2a36d, 0xbfb88040, 0xa11d6da6, 0x92b51f4e, 0x1a238738, 0x2627acb6, 0xe88fde10, 0xf6c3c4ca,
+    0xe4603e74, 0x612c62be, 0xb474f8b7, 0x20748968, 0x0865f115, 0x210330e0, 0x69c36cc3, 0x6f6cd7bd,
+    0xa48a2e37, 0xc8305ead, 0xb137a17b, 0xfe9bcd81, 0xe1b14c10, 0x50f0ab7e, 0x144e8933, 0x58ee4141,
+    0x92c802e9, 0x1b3bb59a, 0xb6691196, 0xc72fa889, 0x0f6e8b7f, 0x2fb96f7a, 0xd3aacfa3, 0x7721024d,
+    0x287fde3c, 0x3c005592, 0x2bff2db7, 0xc1444022, 0x6c39391e, 0x357565eb, 0x294894e1, 0x94338e76,
+    0x878f32e1, 0x75377cd0, 0xc7f8319c, 0x80809dcb, 0xc9beb3a1, 0x21d8584e, 0x5a174793, 0xbd17c1e9,
+    0xb32c8fa0, 0x33a6cbbc, 0xa1853218, 0xb53b3589, 0xd014e5bc, 0x9c5cbbb6, 0xad804ce9, 0xdf384b6d,
+    0xac0f1c00, 0xbf9b9037, 0xe85f4836, 0x9984733a, 0xd235b819, 0x2b5b0598, 0x4e761864, 0xa23cb61d,
+    0x933c14d4, 0x7c4f561e, 0x2888144a, 0xeea4a43b, 0x4dc6c888, 0x6226e113, 0xf16603b5, 0xb1485471,
+    0x00000000,
+    0x0000d499, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000016384 */
+  { 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00040000, 0x4899933e, 0x8f967cd1,
+    0x414d9125, 0xa8a5ee35, 0x20bd27c2, 0xd1e2e517, 0xaee10c3f, 0xb42a4ced, 0x07517fe0, 0xc5d19314,
+    0x86cdceef, 0xa00e7b07, 0x1a24efef, 0x363ba404, 0x3603dce4, 0x4c94ffbe, 0x11afcc74, 0xea48b1cd,
+    0x8de7d729, 0xcaf87067, 0x76709c2b, 0xb523d4b6, 0xcb87acaf, 0xff08eafd, 0xd4212b13, 0x6a09fb3c,
+    0xe9688806, 0xecf0e165, 0xfdbaf9a9, 0x10de6947, 0xfa768b4a, 0x1ba8302a, 0x1ffdf27b, 0x22671e62,
+    0x83416147, 0x56050d90, 0x51ffbfab, 0x4ad5cad5, 0x63e266c7, 0xfd6c1deb, 0x17b57376, 0x6b1ced0c,
+    0xcff78e18, 0x0ef8b623, 0x82a8f5ad, 0x9014e4c8, 0x825794e0, 0x32587358, 0x47858684, 0x95761e83,
+    0xcf9b2a56, 0x0b89a324, 0x26ee7b82, 0x7ba5de02, 0x6351050a, 0x4037eedb, 0x51c714a5, 0xf8a49b3d,
+    0xc501a2e6, 0x8d6b5b26, 0x61481ef9, 0x860a1054, 0x0cd6d55c, 0x02d20dcc, 0xb4c7ac8c, 0x766f74c4,
+    0x9670175b, 0x34952236, 0xb900dde1, 0x4beb68b0, 0x5c81aa36, 0x06b1a95f, 0x18ca542d, 0xc18bc1ea,
+    0x41ab3557, 0x7f9cbb2b, 0x2ec39a8f, 0xf63cd326, 0x86c671d9, 0xbf46d814, 0x5af9d4aa, 0x5ca3a1f4,
+    0x2c327787, 0xe0c3962a, 0x04671804, 0x4558be8b, 0x0320f13e, 0xf23d466d, 0xc06d4163, 0x711eade1,
+    0x9552b716, 0xa1bf140a, 0xc1303ecc, 0x1db9991f, 0x572276d0, 0xeac57a92, 0x3e2e71d3, 0xe8f2d3c0,
+    0xd31a25f1, 0x0d03424a, 0x7ea0a0f8, 0x2330cbcc, 0xf78bbadc, 0xf22d9ed8, 0x00ad3dec, 0xff8fbcaf,
+    0x13036852, 0x16fb124d, 0x9a7aaaf2, 0x2a9adb13, 0x4058bb3a, 0xe9358e84, 0x9364673e, 0x2d09c9ab,
+    0x9c1c3f24, 0xc12bb9ab, 0xaf150a42, 0x1c39366a, 0x1b37ecac, 0x2c2bcd24, 0x5c247fd5, 0xff854b2a,
+    0x55c02d0a, 0xc1d8590c, 0x96ee603c, 0x3129ad55, 0xf1dbae31, 0x1dc67398, 0x314ee793, 0x9be8f689,
+    0xf199bc09, 0x3de6d438, 0x2e59db8d, 0x3cf806ed, 0x84926523, 0xb4483efa, 0x3b721afa, 0x407287e9,
+    0xefe7447a, 0x380f0ee5, 0x9639c5cc, 0x5c54dc32, 0x9f8922c6, 0xd25e2191, 0xf8936c8d, 0x3348f1c9,
+    0x5db8845b, 0xbb3e399f, 0xb74fe5ce, 0x03b0d2f7, 0xac14c75a, 0x5a82c10a, 0xf05ddc3a, 0x61d3f170,
+    0x3b3aadbc, 0xce96e081, 0x33b5610f, 0x44bd05b0, 0x060c4774, 0x2f6255e0, 0x184ec71d, 0x14edf83a,
+    0xf0425b19, 0xd9469e7f, 0x682ac855, 0xd29ff35b, 0x32b20da8, 0x68d8f743, 0x27b4c5b9, 0xf2c92581,
+    0xa5f40c8a, 0xa96b7a86, 0x354f37ca, 0xa4c4e55e, 0x9724746a, 0x2fb40c15, 0x289f4663, 0xfa28c938,
+    0x94d176e0, 0x8fa0a10c, 0xd30242fc, 0x6ad972c4, 0x4147742b, 0x87680279, 0x9b5fe2b5, 0x795df8da,
+    0x9aaa131d, 0x4cbaf7ff, 0xa03ad755, 0x76b04e35, 0xd286f613, 0x0345297d, 0x33eb33fc, 0x2e31554e,
+    0x0046c252, 0xe0b9214a, 0xeb5f8d17, 0xc3fe7811, 0xfbc1bb9d, 0xd9a7a9de, 0x959c3f04, 0x9ab0bc58,
+    0xa1b21a50, 0xd1901851, 0xb608e8ff, 0x6d1d098f, 0x69eacd62, 0x92b55c81, 0x11ac84fc, 0xf93ab9bf,
+    0x4cfcf780, 0x626f64ac, 0x0928c569, 0x6f2c6d27, 0x04e1cce0, 0x50945907, 0x2b69ef26, 0xf26af1a0,
+    0x6212973e, 0x35c258ba, 0x4bd82a58, 0xbd33f234, 0x21a3b463, 0x745182b3, 0xc0da6ba9, 0x21f84c44,
+    0x96c31d1f, 0x6eccb666, 0xd960e8da, 0x44d401ac, 0x9b984629, 0xc64390fe, 0x017ad251, 0xf6e284f7,
+    0xc5c35dcc, 0x9f4436f5, 0x5f9f0fed, 0xa92445fb, 0xa67b8b5c, 0x6d03017f, 0x896e58e3, 0x51a365c6,
+    0x556508e7, 0x88f06856, 0xce4a1428, 0x6f630445, 0x7f008b4b, 0xd3ad59ed, 0x01ea4b16, 0x02670144,
+    0x5c804730, 0x0437ecd5, 0x0585a41e, 0xd3d0e612, 0x7bc97a14, 0x11998746, 0xc0f0bba3, 0xbdda282a,
+    0x945308d2, 0x88d61e6a, 0x695e5dd2, 0x9acd6797, 0xf56a6f11, 0x09b7cce6, 0xf59d12ac, 0xc80aeed7,
+    0x27c8ae5d, 0x7000da17, 0xd6780f97, 0x3ec1c150, 0x7c2148e7, 0xd58a6e84, 0x1a1fe08d, 0x43767096,
+    0xfe3e8ed4, 0x433d4b1e, 0x81e6cc7b, 0xe34cc917, 0xe31ffe7f, 0x558aebb8, 0xcee7c5f5, 0x158fdc0a,
+    0x9d773132, 0x67472f28, 0x6eb38017, 0x482ba05f, 0x8d40171a, 0xab018b3b, 0x26e43c77, 0x7dd06781,
+    0xe8596566, 0x756aca89, 0xc037c244, 0x7599f73b, 0x8944d80f, 0xdcd4dd54, 0x8b6a5e04, 0x50597e80,
+    0x5f083612, 0x964bbef9, 0x4a58c283, 0x311d5d86, 0x410f254f, 0x9ab445cd, 0x2f82a0d4, 0x18f30111,
+    0x44dad7e1, 0x98c45bfd, 0x5cb0a829, 0x936bc0dd, 0x36ab4c11, 0x63dec6fe, 0x79f9fd5c, 0x3f9c3cfa,
+    0x98939693, 0x6b9309bc, 0xd216326d, 0x0b8f7fa3, 0x5427dbea, 0x2bab1928, 0xc882b2c9, 0xab00c092,
+    0xfb7776c0, 0x15d37737, 0x1b0f60d3, 0x8264e132, 0x95c76413, 0x817f7522, 0x71d11542, 0x7dc5decd,
+    0x71b607a1, 0xc2c6abaf, 0x01503e6e, 0x7e175337, 0x1abdebd3, 0xe21e115e, 0x472b9794, 0x08477caa,
+    0x8f13da96, 0xa8555a26, 0x60ea33da, 0xbd4a9c16, 0xfbc27efc, 0x2988b39f, 0x4d9523a1, 0x691d28ed,
+    0x21cbe0a0, 0x73db5228, 0x70fa108f, 0x4127c24a, 0x1c6c1129, 0x30dba7b0, 0x306c5f7b, 0xa04c838c,
+    0x65a917f0, 0xdfe4cd08, 0x8cdd1abe, 0x10e59807, 0x5344c1d5, 0x044bc602, 0x37474e2d, 0xacd98504,
+    0x376361e5, 0xf02f65f5, 0x46451fa6, 0x8b6a0201, 0xe3045613, 0x93c73790, 0x66865574, 0x42c50259,
+    0x8d7c6c25, 0xfaf96825, 0xcae596c7, 0x00298551, 0x819d4977, 0x8b518c23, 0x16910227, 0x4827539c,
+    0x2c990ff2, 0x97e8cb06, 0x454d111e, 0x2b72bc9c, 0xc348d85f, 0xce193713, 0x5bbda4ba, 0x46f1aa84,
+    0x702d9566, 0x565c1907, 0x5991511a, 0x3fa31956, 0x3469d270, 0xe0792f70, 0xa9869f4c, 0x7f7314a4,
+    0x33093ad9, 0xc5cd091d, 0x27bbcb1a, 0x8664677f, 0xbb8c2866, 0xde36fb38, 0xa9f31a2d, 0x1bc2a80e,
+    0x4afb236e, 0x0782b953, 0xd23ee4a8, 0x02a77b8f, 0xa149808f, 0xd8efdab8, 0x2e7a88cd, 0x77769107,
+    0xd2dcc91b, 0x8f0cea2e, 0xcb2113ea, 0x1458c23b, 0x94d3f472, 0xaf9f4a18, 0xbdbcec97, 0xa91588cd,
+    0xb39830cd, 0xc5c42e38, 0x87cba19f, 0xcbb047ba, 0x240d48e5, 0x6091a37d, 0x32dd4301, 0xcaa147bd,
+    0x84572d37, 0x28bcffeb, 0x8d7ed46b, 0x7318fb45, 0x027f5bfc, 0x6758296b, 0x1dbf7a3b, 0x637428f7,
+    0x7779770b, 0xb2c8de64, 0xb84fe56e, 0x17ba02b5, 0x1e9858c0, 0x460353e3, 0x3c20c897, 0x013691d8,
+    0x6a1d7ffc, 0x15da6cac, 0x2d9b9faa, 0x11497340, 0x6037b11e, 0x90e4a177, 0xce848044, 0x7f210c06,
+    0xda33fe1e, 0xdae3eb2e, 0x7e12bdab, 0x67c6c5ff, 0x55db0823, 0x9ba7d122, 0x18b21e52, 0x9532b732,
+    0x16903a0f, 0x16024c5a, 0xa4eeac07, 0x13e87900, 0x7dff2b5e, 0x82107c77, 0x8ac9ae15, 0x4e2f3b9c,
+    0x3ad070e6, 0xafd1d095, 0xb66b1f33, 0x7ee6e709, 0x3891ac23, 0x57b0b8fb, 0x10426051, 0x38af7fd8,
+    0x8e2ef201, 0x503381be, 0xf14ad4d1, 0xcbbdcb94, 0x01680b7e, 0x8a96ca97, 0xcce1400a, 0x4ffe5cc4,
+    0xd15565f1, 0x986b5877, 0xbb14d394, 0x32ace6b0, 0xd4e71af0, 0xbf00e22d, 0x1c10fdcc, 0x876403ab,
+    0x5c7a4bec, 0x940f0226, 0xfe3ed3fe, 0x4ed9ebe4, 0x6c8dcb8d, 0x26bea0c4, 0x5b2a099b, 0x5ac07792,
+    0x2d476f6c, 0x97bf5be8, 0xc2266646, 0xf83ef558, 0x878c5a32, 0x49142552, 0x5c8d4dee, 0x9cb54f42,
+    0x32e4a19c, 0xc09a1956, 0x74402e0f, 0xa547eb21, 0x6e57e158, 0xa3207977, 0xee4ab4d9, 0xdf992349,
+    0x2a6724c2, 0xd38c66d6, 0xa45e8f79, 0xd7baa736, 0x45bb2db8, 0xa755e937, 0x1cfd3203, 0x6ea13610,
+    0x3f01d2a5, 0x17ae73ff, 0x8dcb4a12, 0xa73455e5, 0xa37d5c5f, 0xf139dfb6, 0x9786ad1c, 0xa566b6e5,
+    0x5967feb5, 0xe2016f01, 0x089dbb58, 0x142fec90, 0x777c8052, 0x164b457f, 0xcdf7f75d, 0xba0ad4e3,
+    0xe5bcea38, 0xb7e051cc, 0x6887da97, 0xd468f390, 0x09903310, 0x79cdd53a, 0x6e5aaae5, 0xd18f1e08,
+    0xeaabd0bf, 0xb197090b, 0x983b7402, 0x4fd421f8, 0x0ca05f46, 0x8f2436f8, 0x3e5a1129, 0x4777e744,
+    0x9fb216aa, 0x6aeeebc4, 0x9a942adb, 0x493f3a17, 0xa8586bd7, 0x68679ed5, 0x5e7f35b1, 0xaca15f47,
+    0x4bc177f0, 0x9287b137, 0x85a863f9, 0x81de35c8, 0x28217c88, 0x6c45cbc5, 0xe2af62c2, 0x7d10efc0,
+    0x75f31b3c, 0xc39f1099, 0x34b36ac6, 0x71a118e6, 0x174df73f, 0x479adb9c, 0x460d2abf, 0x441cd8b0,
+    0x62df61c0, 0x35fbdab2, 0x5092b445, 0xd5475992, 0x1b93102a, 0x0c3f7747, 0x132284c8, 0x98ab274a,
+    0xa7bb6c7d, 0x412e0901, 0xceb5055e, 0x072b211a, 0x305f4e12, 0x0c7c2892, 0x7faf211a, 0x96a3a1d1,
+    0x00000000,
+    0x00006a4c, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000008192 */
+  { 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0xaf5ed44a, 0x019567cd, 0x4e285c1d, 0x22c32b22, 0x02584690, 0x050e012e, 0x099697f3, 0x19f02d39,
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+    0x1857b398, 0x60652f9a, 0x62cabfd8, 0xd15c0e4b, 0xdde8121d, 0xda06fa33, 0xd67318df, 0xa07735e4,
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+    0xefd70795, 0xd3cf3b5b, 0x2e7841dc, 0xf43c14d0, 0xf4e04372, 0xece860e9, 0xec2ed94e, 0xd6eff715,
+    0xbdd94337, 0x252575e3, 0x175ec76e, 0x19bc6b91, 0xd349d71f, 0x41c26fab, 0xd08168c9, 0x7b0fa39b,
+    0xfe852477, 0xe79b1ec5, 0x2c5c4d21, 0x3612bdb8, 0xbab3913e, 0x7a3f51fa, 0x52a270ea, 0x30721456,
+    0x4b002a5e, 0x7c5bb1b2, 0xe9f309b0, 0x5ef50e5c, 0x5b833c3f, 0xa1da9aa8, 0xebd9f36b, 0xbf28c5d4,
+    0x698a7815, 0x72195d42, 0x146f45a8, 0xfd91f45d, 0x4e430264, 0x40dcf770, 0xc05a4810, 0x70a17c21,
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+    0x91571b6b, 0xef3dd46f, 0x9fd215f6, 0x59219433, 0xa13dc66a, 0x046c2790, 0xa1fcf1ad, 0x08f11edc,
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+    0x154335b7, 0x516925db, 0xb32b594d, 0xa09b9ad9, 0x559e3646, 0x19f7d162, 0x9834ceef, 0x0671d675,
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+    0xd745d7ad, 0xf92956df, 0x00de4676, 0xe69224c1, 0x231cf734, 0x32971921, 0x6ba531f3, 0xfe6bd06d,
+    0x6352dbbd, 0x792c2336, 0x1ad61bb3, 0xf78d987f, 0xce504acd, 0x76e57105, 0x7baced3e, 0x374ce868,
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+    0x5bcb6a66, 0x78211e33, 0xa8211713, 0xc6834992, 0xffc07656, 0x1c86f67a, 0xe12f59db, 0x8597accc,
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+    0xa9c7ca39, 0x341fe9e3, 0x08ad805b, 0x27189df0, 0x91834114, 0xe227fa03, 0xe9cda4ec, 0x994f8469,
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+    0xfa42892b, 0xab09d0af, 0x7c01a627, 0x88092df9, 0x0549748e, 0xddd19593, 0x715d853c, 0x330fd8e0,
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+    0x0d1dba5a, 0xf06aafbc, 0x72838eb3, 0xe472ada9, 0x434ea813, 0x562479b1, 0xc56c201f, 0x767cf643,
+    0x445d1ac4, 0xef252b3b, 0x4b7946be, 0xae401807, 0xc86bf968, 0x50376d8d, 0xa9ee9d72, 0x427aba16,
+    0xdf0f983a, 0x8092c808, 0xea315c84, 0x2db0d164, 0xe917a569, 0xea38aac7, 0xe18469b1, 0xfff0d1d2,
+    0x45f22a3f, 0xdd5cf7c9, 0x444e2267, 0x65761fb2, 0x804a4a92, 0xc94c153f, 0x8a20979a, 0xc4605202,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000004096 */
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+    0x42c9e51b, 0x0dabc983, 0xed6f1c85, 0x42c12866, 0x94987193, 0x869c2927, 0x12e4ad2f, 0x7fd8f669,
+    0x7842d71c, 0x552eb57a, 0xfedcc235, 0x61ce0fb7, 0x09ce1f38, 0x3b449382, 0x10134971, 0xc54de34c,
+    0x8289c8c6, 0xb6643a7a, 0xb64f32db, 0x4ff01e3c, 0x92ee9807, 0x17f94e38, 0x16f9210c, 0x81ed6a8f,
+    0xabbb3a82, 0x51440967, 0x2fbed5a1, 0x41e44995, 0x609c313b, 0xca416afe, 0x1821fa2b, 0x264b4f11,
+    0xac974fb1, 0x7d6ab91b, 0x8ff35d6c, 0x9bd438e4, 0x65665441, 0xe5510c4a, 0x54c36685, 0x98697335,
+    0xd21feab4, 0xe491d0db, 0xda4663cf, 0xa4ca7982, 0x10c7bcbe, 0x56b8a9e1, 0x5a04779c, 0x80e2e5fc,
+    0x9f44484d, 0xf203c1aa, 0x7b1ab730, 0x2f7a66a5, 0x7dc62d75, 0x545ff87a, 0x60460944, 0x1a42f406,
+    0xc375d77c, 0x6d7efc9a, 0x695f0e86, 0x28c85744, 0xc6b96814, 0x17c7ba1f, 0x03c19d79, 0x3eb417bf,
+    0x5f7915b3, 0xcae5f571, 0x708fd8f6, 0x5ac8edb0, 0xce6b7b12, 0x6815b785, 0x6eadb56c, 0xebeee6f4,
+    0x355d84ee, 0x4de3c195, 0x389c0a24, 0x61abd9d7, 0x9d019537, 0xec24bcf9, 0x6ce39de9, 0xeb1810d7,
+    0x5ecee70b, 0x860792e5, 0xd9d4bd5f, 0x886fbf56, 0xf5a83fb8, 0xf43c513e, 0x389a4408, 0x379433f3,
+    0xcf45cfad, 0xdf84658c, 0xc7f3ef82, 0x5e818415, 0xd5cf4291, 0x45f278b3, 0xbb57a6a4, 0xf0070f8d,
+    0x803ecca8, 0x87c348ad, 0xf9245b2e, 0xd8a6c038, 0x9dee0bed, 0xc7d56c7c, 0x3fa140ea, 0xe08402ad,
+    0x5677ce0d, 0xd0ad5f77, 0xe221ef1b, 0xa1fb992b, 0xd04a487f, 0x36fa9ce9, 0xf7024d2c, 0x8af623f6,
+    0x855eeb02, 0xe49d6907, 0xac5dcd83, 0x51aab4ef, 0xd8c6be71, 0x53b7d77c, 0x908b40a7, 0x836230af,
+    0xf30278c9, 0x22771e50, 0x8e2d6942, 0x928e61d0, 0xe5ca6f7e, 0x1b93cf2e, 0xb962b1b6, 0x8b21c11e,
+    0xbcba1964, 0x77154ce2, 0xebe3034f, 0x6a3197bb, 0x329ace52, 0xa74d28ce, 0xc53d5de4, 0x9e8b3b5d,
+    0x00000000,
+    0x00001a92, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000002048 */
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+    0xe19b9f08, 0xa1c7b0a7, 0xa2264713, 0x4d457146, 0x868502b1, 0x06531f47, 0x03b30b36, 0x3b83b451,
+    0x3ee2598d, 0x87df785b, 0xdf4790fd, 0xe727f3a0, 0x71c8c74a, 0x35c8cf95, 0x62d97718, 0x4d3d1448,
+    0x61871734, 0xe7f258d6, 0x0c648aee, 0x81e9fa25, 0x56a7e7ca, 0xb118af9a, 0x9d238410, 0x78c116de,
+    0xa946af87, 0x0462b608, 0x416e8d31, 0xacf6052d, 0x85afcff7, 0xaf23f146, 0xbb2c6e25, 0xff7d5b7b,
+    0x52cc7eda, 0x85adbd19, 0x7ec4068d, 0xff9add65, 0x22770691, 0x69603660, 0x20a02f69, 0xd9a6880a,
+    0xe40c7ac3, 0xc43f23c7, 0xdfa5da8c, 0xa2b89a9e, 0x2e37da0d, 0xb38f38e8, 0x68a39098, 0xb25d68d4,
+    0x60db2c2d, 0x4fd1165d, 0xe28c6d59, 0xe9b0d5b8, 0xe80d7eaa, 0x5480643e, 0x46e7f13b, 0x52a22f12,
+    0x10459004, 0xd78016e0, 0x927d3cc8, 0x8187a351, 0xd24daa37, 0x4a9cf154, 0xc329f9af, 0x253069a5,
+    0x7bd1c61c, 0xd6f4b6d2, 0x75249b0f, 0x526b9882, 0xf18b50ce, 0x650d3d28, 0x81750c17, 0xc9767586,
+    0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000001024 */
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xa0000000,
+    0x00000000,
+    0x00000002, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x40000000,
+    0x00000000 }  /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000000001 */
+};
+
+#else  /* BITS_PER_EMUSHORT != 32 */
+#error ei_ptens_256_emu32lsb.dfn: ERROR: Failed size of EMUSHORT data type.
+#endif /* BITS_PER_EMUSHORT == 32 */
+
+#endif /* __REAL_EINTERNAL_PTENS_256_32LSB */
diff --git a/mpu/etens/emu32768/ei_ptens_256_emu32msb.dfn b/mpu/etens/emu32768/ei_ptens_256_emu32msb.dfn
new file mode 100644
index 0000000..b5dfc99
--- /dev/null
+++ b/mpu/etens/emu32768/ei_ptens_256_emu32msb.dfn
@@ -0,0 +1,67208 @@
+
+#ifndef   __REAL_EINTERNAL_PTENS_256_32MSB
+#define   __REAL_EINTERNAL_PTENS_256_32MSB
+
+#if BITS_PER_EMUSHORT == 32
+
+static EMUSHORT _ei_tens_32768_[NTEN_32768+1][NPIR_32768] =
+{
+/*   Sign                  */
+/*   Exponent              */
+/*   hgw                   */
+/*   S i g n i f i c a n d */
+/*   lgw                   */
+  { 0x00000000,
+    0x75269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e167,
+    0x419943f7, 0xa77547ce, 0x8f892faa, 0xd8eb42f5, 0x850d7b92, 0x01597295, 0x33fc58b3, 0x53d80cdf,
+    0x00000000,
+    0xb3d6039c, 0xdcaff09a, 0x4c493132, 0xf25c5bec, 0x97900812, 0x58938375, 0x6f9e97b7, 0xda6d0ae1,
+    0xc6b20859, 0x84ea0880, 0x4f459c78, 0x16e37523, 0x1efe77dd, 0x6bea3d2c, 0xb0cf1b41, 0x99abe311,
+    0xbbebf7d1, 0x17c0b231, 0xc2e9a281, 0x02894508, 0x37541779, 0xdf305fc4, 0x337b8216, 0xfdad7cc8,
+    0xcb9c15ef, 0x193913ef, 0x0637481a, 0x22eb1b4c, 0x891b2bb4, 0xc57a63ba, 0xbb063879, 0x3b40ea24,
+    0x40f4bb28, 0x8a9d22de, 0x070d3ab0, 0xb0f06de9, 0xa1fd27e5, 0xa5923071, 0x6aa0a36e, 0xd8b77abc,
+    0xe9c398c9, 0x9abc6e1b, 0x135e78b2, 0xd842c4e4, 0xd20c6136, 0x1eaaea38, 0xae0b68d8, 0x6ff529d1,
+    0x69b9022f, 0x7fb28c04, 0x3a5c13cf, 0xf3bfacf5, 0xc30c0818, 0x56473bd6, 0xe61d3f05, 0xfcd5f849,
+    0xe55139c1, 0x6075ac98, 0x39aa753a, 0xbfc0f819, 0xcb8de410, 0x0f714336, 0x121107ec, 0xe718dfa0,
+    0xd10bdaa1, 0x610da96d, 0xbc276f44, 0xbf3f85ae, 0x408ccc04, 0x3c5c2c77, 0xed31b498, 0xbda60113,
+    0x22f8a0e3, 0x5bc703f0, 0xaf7892e3, 0x729582c4, 0xdf835752, 0x021403c3, 0xc8766630, 0x441c7617,
+    0xdae80884, 0xe4b7fc89, 0xd6fa4751, 0xa8dcf493, 0x21d01730, 0x852e18c5, 0x619b64f5, 0x5029f3c1,
+    0xfac4cc3e, 0xd9cecae1, 0x6bf309ba, 0x0bf8d673, 0x937441f3, 0xe1399f84, 0xdc830c77, 0x9fc877c7,
+    0xef335046, 0xab675f13, 0xf684ea58, 0x859833ef, 0xc4e75d24, 0x12b28e58, 0x2c097bc8, 0x8fc9e2b6,
+    0x6fee1ddb, 0xdf154b4b, 0x7739794b, 0x809feb4f, 0xfca98223, 0xa4caef56, 0x79b43e3a, 0x5d42ee4f,
+    0x9b4953e8, 0x3368d7db, 0x2b11ea84, 0xa5f06308, 0xf89e7f2a, 0x949fc31f, 0x4360aa15, 0x90f26eb8,
+    0x834db2a0, 0x7c6a0679, 0xe7884228, 0xeac82a03, 0x032abeb5, 0xc86e4724, 0x4634d7f5, 0x60975832,
+    0x10cd16a8, 0x41525723, 0x97eaf16c, 0x17c33dcb, 0xce9d72ed, 0xcf4bd3d6, 0xc0d3d234, 0x9953bb67,
+    0xd332767c, 0x2ab90035, 0xef06aab4, 0xefa85de6, 0xe532ba75, 0xf1308d17, 0x5191e918, 0x361680e0,
+    0x5981906f, 0x723c6ba5, 0xe6d87779, 0x0639e5d7, 0x5103a588, 0xf8d4c1fb, 0x0063c67b, 0x68369882,
+    0xa4b74ea6, 0xf1f126ec, 0xbe760509, 0xab8a7723, 0x97f74702, 0x95624a7f, 0xe1e6e114, 0x1cde9e9c,
+    0x7f2f23cf, 0x2e44b454, 0xb32dff23, 0x9755c168, 0x999b6184, 0xd152c44e, 0xb028065c, 0xa2eed516,
+    0xb778a188, 0x5476a645, 0xffc129af, 0xb0fc8081, 0x4e700378, 0xca1e113b, 0xc40920c3, 0xdfb2d6ac,
+    0x3e60847f, 0xafefa88e, 0x85e26265, 0x53bec592, 0x45dd7be5, 0x73330a4b, 0x4d2cb62b, 0x45f18666,
+    0xcc97f359, 0xb975ff0a, 0x5836538a, 0x60d031e5, 0x152acc28, 0xbfeab1e1, 0xa70c3c9f, 0xffd0853a,
+    0xd0a528c6, 0x427bec9b, 0x61fae9b3, 0x7ed72b98, 0xa04903dc, 0x8babf329, 0x84ac3fd1, 0x1b73d3d3,
+    0xb70071b2, 0x9b7d0faa, 0x466d0f8f, 0x809781aa, 0x26281291, 0x7adb6c44, 0x9ed94d1e, 0xe7398c6e,
+    0xb6324f69, 0x25ef8f67, 0x201bb50c, 0x4b9e277e, 0x4741462d, 0x54372229, 0x84690e43, 0xe7cd6f36,
+    0x1473f065, 0xa3d4c181, 0x2d69dba4, 0xd4918a2b, 0x89f31b4f, 0x266c40b3, 0x2e736a41, 0x3d42151d,
+    0xdfeef139, 0x7a6ce071, 0x3aa06828, 0x0b28d97d, 0x1135cffc, 0xaa82b7ac, 0x3684b638, 0x18656879,
+    0x2235f2c8, 0x8fdc8eac, 0x5213e772, 0x456b18a7, 0x09ce4a56, 0xf056b2f6, 0x60fff3c1, 0xffa9fc6f,
+    0x1a8e33c3, 0xbae867ad, 0x3398aa80, 0x671a48d6, 0xc5e48a8a, 0x29ffe9f1, 0x55656b70, 0xde5ab483,
+    0x462a9c44, 0x3596bf97, 0x57e3b60c, 0xcd4df9e2, 0x6d48506b, 0x80a61f1d, 0x66bd084b, 0xe16a6cec,
+    0x057ae68a, 0xe9ff07a0, 0x0227bee1, 0xc38d1367, 0x41c3c00f, 0x0e26c721, 0x95376afd, 0xdb7e405a,
+    0x376fece4, 0xe7ff3b08, 0xe23680d6, 0x9184c725, 0xcc6c1ab9, 0x86d59195, 0xff8572eb, 0x1d60f5cf,
+    0xb728da26, 0x49d60e68, 0xe10851b6, 0x83e043b9, 0x39038b91, 0x6e594bd7, 0xd65a7f57, 0x8a8aab3f,
+    0x32b13205, 0x62d313f8, 0x2f37cd68, 0xb359bfbe, 0x87d68165, 0x5fa7a9ed, 0x824a1b54, 0xb73c9e2c,
+    0xb27c1480, 0x4d71c9ba, 0x78501432, 0x8e70a956, 0x0d3c534e, 0xf6d7c0f8, 0xcdc61c2a, 0x7e31d6ff,
+    0xb464cf6c, 0x47940255, 0x01532062, 0xfddcab57, 0x74e0c5f8, 0x7c3bd5f0, 0xffd83196, 0x77bf310f,
+    0xa63c5c57, 0xf3503611, 0x06aa2e06, 0x829ef8e8, 0xc8d96bfc, 0x77791065, 0x0164d2e6, 0x73a7d1d0,
+    0x5a54b119, 0xfae3809c, 0x9cc92400, 0x3e9041fe, 0x761b88b3, 0x8076959a, 0x4975a6d0, 0x732fcadf,
+    0xa6f7df50, 0x7d057b90, 0xe978f70e, 0x0c482956, 0x7a088d82, 0x5855d37a, 0x040a7fd2, 0xb3055cf8,
+    0x817cc47b, 0x21b01c56, 0xc9719bc2, 0x423b1a2a, 0xf183dc48, 0x939f409b, 0x43a80c96, 0x2b52aa9e,
+    0xb5915d7b, 0xe3631909, 0xe2fd51ec, 0x162008b3, 0xa28ed7f5, 0xc9dea1b3, 0xd9ecbf91, 0x51477ee6,
+    0x7ee43d97, 0x3429dc87, 0xff677c96, 0x1be70c1b, 0x6a9e61f8, 0x02068425, 0xe1a57c99, 0x508bb680,
+    0xc4d40de2, 0x2d979794, 0x4db38ea2, 0x793ee841, 0x400edaaf, 0x7a89fe9a, 0xa1379f40, 0x1b28d783,
+    0x3f6f4445, 0x7e62e2a0, 0x96400ead, 0x65200b02, 0x9860b0f6, 0x0e38170f, 0x2abfb871, 0xffe5f745,
+    0xf33205d9, 0xf57e468a, 0x3bf535b1, 0xd6a4e438, 0xafa6f33d, 0xb3f698f6, 0xd4308484, 0x39e12c2a,
+    0x6b25567a, 0xeb2b2aee, 0xc3a6f294, 0x2b57e31a, 0x41cff446, 0xb6e01225, 0x35a8317c, 0xe3efacc3,
+    0x379e4180, 0x664fad59, 0x2ddbcf24, 0x535c4313, 0xff7fd3c5, 0x00657b37, 0x67c442f6, 0x8eb88449,
+    0x8ebfef65, 0xc2ce4969, 0xe1a3e291, 0xe072ec2e, 0xc0da0978, 0x0003f167, 0xd51899c0, 0xc8e00cbc,
+    0xc882954b, 0x0ce6d0d4, 0xfb4ecdd3, 0xf8ea4caf, 0x0adfea85, 0x5e65219b, 0xe7709b06, 0x2d16f7cf,
+    0xa045c869, 0x895c97e7, 0xfcab97b5, 0xaf339ce0, 0x523ba0b4, 0x5f42bc3b, 0xf1217d4b, 0x49275ed0,
+    0x0c384fbc, 0xf8f3dad3, 0x7b1c4bf1, 0x91d56d68, 0x067c764a, 0x56efe5de, 0xeba3bf40, 0x46d37f6e,
+    0xa90ae9ad, 0xf52e2234, 0xcafa1b92, 0x824a714e, 0xefc90e18, 0x69a31982, 0x03816260, 0xce7a5d4c,
+    0x9d2c63b8, 0xd65e7379, 0xb6bc53eb, 0x14df4d7b, 0x1b1d4607, 0x184d518f, 0x47559d70, 0x0e549edb,
+    0xa7706a80, 0x874e4d1b, 0x2637c3e6, 0x405e02c4, 0x24c34abf, 0x2766fae3, 0x6d17ddd7, 0xe73a3af4,
+    0x53ef511a, 0xbaae8abc, 0x97b17dba, 0xfd2a5f35, 0x84ee0b30, 0x8a2c26aa, 0x1fc3b859, 0xaadafc33,
+    0x0bb064ed, 0x57ce1270, 0x66d30797, 0x009298f3, 0x47a1ef0f, 0x6f5cd720, 0x09963524, 0x54b32797,
+    0x07d7927f, 0x0f421f5a, 0xf4825236, 0x1e703292, 0x62ea8728, 0x76655c70, 0xd5c3d791, 0x646b970e,
+    0xe923cccc, 0xcdb2222c, 0xdc470737, 0x514a3aaa, 0xa5a0a361, 0x55b2e06f, 0xc2f39520, 0xe89cf792,
+    0x1d2234d0, 0x6ae4722b, 0xf0915d48, 0x3281b073, 0x89bff0b1, 0x4bd04e4f, 0xa54e70a9, 0x7647d9d6,
+    0x494b8832, 0x78675a48, 0x92bbb994, 0x62883614, 0xe7760478, 0x3dfe1a2a, 0x5586134e, 0x87267c43,
+    0x5ed4ebee, 0x62d60d96, 0xbbe1cb4f, 0x821d469d, 0x8e5c50c7, 0x84f0e17a, 0xe6feb7f0, 0xd67b804b,
+    0x0b872903, 0x4b30d1ca, 0x441774d3, 0xdcf6a1f0, 0x1c353cb3, 0x838979e1, 0x298c4cdf, 0x94d28b5b,
+    0xcc5ea9ac, 0x3e547c74, 0xd78adaf2, 0x1721e0e3, 0xd7dc30ad, 0x0cf22c5b, 0x857e660f, 0x11cce5f9,
+    0xc1e20ae0, 0xb8464bc4, 0xcb571c9a, 0x3cf8820b, 0x7747f222, 0x50204978, 0x8fd4fbf5, 0xe2cb8684,
+    0x6a7cad74, 0xb46af306, 0x051738d7, 0xa9dadbcc, 0x8fcbe4b2, 0x91083ce7, 0x7af65718, 0x2a86553a,
+    0xea744627, 0xe5f94422, 0x7284cca9, 0x44eac6e0, 0x39051aeb, 0x4a228c7b, 0x710878de, 0x1cf301be,
+    0xfd2235ba, 0x37134aba, 0x4dae8c19, 0x0f20dcc2, 0xe2c539b3, 0x3d60cf73, 0xb8bcb85b, 0xfd992c2a,
+    0x13460b35, 0x306e715d, 0x868c2530, 0x568e6ece, 0xd60abdba, 0x9f50bb54, 0xcc49a138, 0x526a2166,
+    0x92437ffc, 0x63a0b8dd, 0x5ab07133, 0x93d25cf4, 0x43317d45, 0x54190960, 0xa2074f2c, 0x7f0e2c32,
+    0x39943ffb, 0xfb0df4d6, 0x788eadbe, 0xabdbc97b, 0x440909b2, 0xd869b879, 0x6130d27e, 0xfb781754,
+    0xf702adf3, 0x7ed4eb58, 0x7069f970, 0xeb406d48, 0x5dbd4818, 0x31e446ad, 0x256a341a, 0x024e0f1d,
+    0x0c130388, 0x22a037f1, 0x584b02b0, 0xd1c62344, 0x9e7ebfc0, 0xe46873c0, 0xebf5a995, 0x58beb286,
+    0x77a35706, 0x6e7b040a, 0xf1121a2f, 0x3d27bd52, 0xcad71072, 0x448d5c96, 0x5c45ec46, 0x70bb9169,
+    0x9ed1c0b0, 0x4ea449ba, 0x46d661de, 0x205e2ed2, 0x3405b0a3, 0x185265d3, 0x1da05fb8, 0xe6238c39,
+    0x80bfa560, 0xee39bd19, 0x902c6c77, 0x6f4ea9aa, 0x39e349cf, 0xa7d04a8f, 0x777389b2, 0x4ec43064,
+    0xb9fdef18, 0xd560e7a6, 0xccc771fe, 0x5878f07c, 0xa37fa82e, 0x682a32df, 0x56136114, 0x32988e98,
+    0xe75e0831, 0xbc1ed477, 0x643d2e5c, 0xaa10ecdf, 0x57196cdf, 0x75924638, 0x85d11bb3, 0x917dce72,
+    0xb4009d53, 0xd2c5c859, 0x122eb021, 0xa9d40021, 0x750ca1c2, 0x5f156bc8, 0xaca2d898, 0x69c00d6a,
+    0x56488f58, 0x64ac7fcc, 0x07011422, 0x2feba54c, 0x19fb4392, 0x7127a990, 0x3f9ace48, 0xcfcfe758,
+    0xe38a92ac, 0x66c8d28c, 0x99992170, 0xd6bab37c, 0xc83ed10b, 0x8a41529d, 0x3e3ae7df, 0x09ee7d8b,
+    0xd175988e, 0xc3dc3ea8, 0x2a04a18b, 0xd6ec154e, 0x8e51b0c0, 0x4cab5283, 0x14e063a1, 0xc0980f30,
+    0xbe9a949e, 0x46c5843c, 0x3affeaab, 0x9d06bbda, 0x58b7fdeb, 0x761153d5, 0xd8e90b92, 0x5ff81e23,
+    0x48313521, 0xebf0eaf1, 0x47150540, 0x5541e220, 0xf3cc0fac, 0x86b68259, 0x0c005f2d, 0x2e1f37bd,
+    0xeec3038b, 0xf15a8a69, 0xae306edc, 0x18255656, 0x8b1fbf87, 0xca38a94d, 0x05f9d05e, 0x5d4bcff9,
+    0x5b80306a, 0xd307efc9, 0x19b9c1c6, 0x212e89a2, 0xb9bdec39, 0x3233ed9d, 0xa66c7762, 0xcbfff685,
+    0x62864464, 0xb2bc6707, 0x2dc394c9, 0x3099abca, 0xd558964e, 0xfd0db5f6, 0xe83658f6, 0x7c722f29,
+    0x45afe347, 0xa0ba80a5, 0x420bf421, 0x01bf72a8, 0x1eb95b40, 0x14ebff76, 0x9f092e2b, 0x9904dd88,
+    0x8479f2d7, 0xf0248a0a, 0x80a90aeb, 0x5ff98ab9, 0x7bba7a04, 0x51a4a60b, 0x1edec231, 0x84c8c6d7,
+    0x8bffab47, 0x90f66936, 0x44ffa33b, 0x548adda5, 0x4b7dbb4b, 0x9fb79df3, 0xb52d4b74, 0xc1c5d92a,
+    0xec9c8832, 0xf44dc16d, 0xd2a8d3e7, 0xcf5d5903, 0x9429ac51, 0x5cf7473c, 0x71d11b74, 0x5a30f896,
+    0x27c46fcd, 0x405e4b64, 0xed34484b, 0x3aed4757, 0x5cde4976, 0xdf978a5b, 0xebdb983a, 0xb78d50a8,
+    0x6df1bc3e, 0x6713ff3c, 0x76133be5, 0xcab5c304, 0xba686f15, 0x230e5fbc, 0x5e52667e, 0xcb27694a,
+    0x703214df, 0x2b4c28f5, 0x297332df, 0x8e74d527, 0xbd99fb53, 0x835e1b00, 0xbf9c24ce, 0xd97b500a,
+    0xe5b22fec, 0xc0fdd2c4, 0x84cb8239, 0x1584619b, 0x27987d31, 0x93424fc6, 0x5b798492, 0x15a1223e,
+    0x7cc5e371, 0x927da29a, 0x4d6d506e, 0x018ed627, 0x40128aad, 0xe376786e, 0x7b3d6e1c, 0xf293111f,
+    0xec2a1aa7, 0xe693f6ad, 0x236a3ee6, 0xaaf56858, 0xe67be7a2, 0x0067d6b1, 0x3430aedd, 0xe95fca82,
+    0xc70f5a10, 0xe8016123, 0xde1cc4ef, 0xe55b7448, 0x9de6f682, 0x1918d50e, 0x0f568fa0, 0xe1649050,
+    0x6e674329, 0x0553eaa2, 0x948e1d62, 0xc52414a9, 0x631f86fa, 0xfe75640f, 0x918cc483, 0x76ac5c04,
+    0x5ed9a052, 0xf15429a5, 0xf00d34f1, 0x38e128f5, 0x699e7c4e, 0xe60d1a74, 0x88898746, 0xbd05eb3c,
+    0x3b7f18d1, 0x9cffb88f, 0x1f2a25b2, 0x325d0b74, 0xe3dbc779, 0x36bbef4b, 0x9c25f227, 0x39da2a0d,
+    0x9e780339, 0xffa891c2, 0x451a93c4, 0x59897605, 0x02d70cda, 0xf1f99241, 0x25149252, 0xe7a5e3e7,
+    0x7495e390, 0xdc72b89f, 0x9dd512ec, 0x5baef099, 0x60057724, 0xf67ebe44, 0x1f210712, 0x204fa8b8,
+    0xd47bbb89, 0xafb092ef, 0x20408a61, 0xbafed31c, 0xe22cf6a1, 0x4f6054b8, 0x7f17f51d, 0xa06f88d3,
+    0xcb07036b, 0x9d774cc5, 0xa4edf8ad, 0x064ff429, 0x436c61ff, 0xe764311c, 0x6b182e15, 0x94c7eca6,
+    0xa666f4c7, 0x59c3d587, 0xbf41d7d3, 0x6480ee1e, 0x2af15336, 0xc4a92583, 0x16b2c6c1, 0xd8e652a9,
+    0x8cecdd79, 0x958f55ab, 0x874b8af7, 0xdc993e81, 0x2aa84bb8, 0xc79609e5, 0x96e48272, 0xe5863262,
+    0xa5ddeefe, 0x688c5e92, 0x9e560e32, 0x99220a4b, 0x477c8488, 0xc80eb045, 0x29b1a431, 0x5ee01dd8,
+    0x71b539a4, 0xae476930, 0x158c6e6f, 0x667e7e4d, 0x600c27a0, 0xe5358b62, 0x6adf98f1, 0x4f7f09d1,
+    0x4832802c, 0xacb6c81e, 0x7cf02b45, 0x5719a319, 0x56b4947f, 0x732782bd, 0x3f04e8c5, 0xd7b04561,
+    0xe4b67975, 0xb1fe5d65, 0x57f525ee, 0xe08edfcc, 0xd462e5b5, 0x3acc9b80, 0xe9c8d1a8, 0x67d8e62a,
+    0xd113d6ba, 0x0e03eb19, 0xe65ea1de, 0x583e4033, 0x03a3fffa, 0xbe90a5e1, 0xbbb3cec4, 0xd17ea798,
+    0xe6542e79, 0x4030e48c, 0x0025abc2, 0x8b432e6d, 0xa5d54ee0, 0x72921e60, 0xa5594eab, 0x657503d0,
+    0x887bec6e, 0xd645ee72, 0xdd8ee8d4, 0x449b6dd3, 0x1f439de1, 0xcb1768b9, 0xf44f1bb8, 0xf7ea1065,
+    0xed4bbdcd, 0x319f233f, 0xc41b12e6, 0xb8679b1a, 0x15cfd5fe, 0x018565c0, 0x99b5e3e2, 0x19c8c226,
+    0x994b97ef, 0xcc6b170a, 0xf883c0e6, 0x92b83453, 0x5d070571, 0x68a7a3b6, 0x535aa4f9, 0x12928c69,
+    0x2764e38f, 0xd45fc6de, 0x74e34362, 0x1fb3857f, 0x5277d0e2, 0x27a9a47a, 0x6f2b329e, 0x92ab4a2c,
+    0x88ede1e3, 0x6681f45e, 0xd6b72f4c, 0xc2957991, 0x93a0cab1, 0x775911ee, 0x14ce4316, 0xee8c3d00,
+    0xdfdf6452, 0xc5f6806e, 0xd782fecd, 0x20bb7073, 0xf9f18095, 0xb31af4b2, 0x477648e3, 0xd754eba1,
+    0xa4f74ccf, 0xc5577af3, 0x0702df3e, 0x6707e316, 0x100148fb, 0xef521d78, 0x02a5ae8b, 0x44a0a098,
+    0xc7b5a882, 0xa65f3e31, 0x77838bcd, 0x6487fc14, 0xa75fa960, 0x39ba2894, 0xa25d450b, 0xe6443471,
+    0x90578800, 0xdd9d0a82, 0x9b47d434, 0x638b9611, 0x3ae0c02d, 0xffc04190, 0xc237deee, 0xb7ef4b7a,
+    0x6a6e471f, 0x9630d5fb, 0x8f33d1ad, 0xd95b047d, 0xbe247651, 0xf2bd9849, 0xd70ee414, 0xd94df71c,
+    0x59f70995, 0x00706b39, 0xfddb6abb, 0xeb4244d3, 0xe1408c03, 0xa791e99a, 0x879fd61f, 0x45db3be1,
+    0xcf4138b2, 0x75d3eea9, 0x5ebae777, 0x919e041e, 0x9ec573f2, 0x34b70cee, 0x85a19444, 0xd911efcd,
+    0x00000000 }, /* 10**08379879956214123187233765623878653829674603637870245861077225902326102518795\
+                         96686050117143635431464230626991136655378178359617675746660621652103062880256 */
+  { 0x00000000,
+    0x5a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b3,
+    0xa0cca1fb, 0xd3baa3e7, 0x47c497d5, 0x6c75a17a, 0xc286bdc9, 0x00acb94a, 0x99fe2c59, 0xa9ec066f,
+    0x00000000,
+    0x97b85c6d, 0xb828dadb, 0x6940d20e, 0x379ad720, 0xc9a26b16, 0x3a209f61, 0x7fd284a2, 0xeee0e2d8,
+    0x363446b4, 0x9abfb01f, 0x30057bf0, 0x36606aa4, 0x3efa1f0f, 0x4e12f3e0, 0x2a574361, 0x9fcdc2db,
+    0x0ce2cd7f, 0xb7e75d38, 0x5f167adb, 0x73a31c57, 0x2665d24a, 0x048acfbe, 0x1240e924, 0x597e5f73,
+    0x8d82872f, 0x86d9da67, 0x71c8f0a5, 0x30bd1624, 0x59976e8d, 0x96031036, 0x91a368ea, 0x83b026a0,
+    0xa94a4c9f, 0xb26b1319, 0x893fe14f, 0x63ec2218, 0xc55a84dd, 0xb9a90aac, 0x1509d85d, 0x68c7df7e,
+    0xcfb400c3, 0x0ce36bff, 0x03b166a7, 0xdb30d299, 0xa38f7771, 0x36298639, 0x4191f9eb, 0x0627e083,
+    0xad23e6d6, 0x78403c9e, 0x775bc53f, 0x50d990e4, 0xeb6f36d4, 0x7c5b281d, 0x68f296c8, 0xdc78dc72,
+    0x65bf732c, 0x199920b2, 0x09f7eafe, 0x5189efcc, 0xf647f12f, 0xb7e3ee08, 0x84a55358, 0xe0310071,
+    0x0b27322b, 0x405ed251, 0x8432df42, 0x166e7d57, 0x083aeaff, 0xe86bfb4a, 0xa3603f54, 0xbe55f460,
+    0xde35be66, 0xbb77cdae, 0xe3a96f35, 0x07e29e4e, 0x13c67ce7, 0x160c34e2, 0x5c2fb673, 0x974bce24,
+    0x6ae7cffb, 0x6de1aba7, 0x1f37e1d5, 0x1f3513a6, 0xa13364f9, 0xcc6bf37e, 0x581c7bee, 0x6d3c7f36,
+    0x6f00f4db, 0xdb7180b1, 0x9e64ee05, 0x83658772, 0xbfd875d3, 0x3780fc33, 0x6b7761b3, 0x7fee0bc4,
+    0x6e72b76e, 0xbd03ebf2, 0x519d667b, 0xe58ec1c3, 0xccd6242c, 0x2a0ce603, 0xebded9d8, 0xf34ed269,
+    0xd354027f, 0x88cc5794, 0x2f9dce63, 0xa0862513, 0x21dfddc5, 0xdc8b7707, 0x09a64344, 0x12b2664d,
+    0x3531f308, 0x5fdc23ab, 0xe77d0fc5, 0x87f6e72c, 0xac11182f, 0x753b8e58, 0x559ea87a, 0x78f6e15d,
+    0x15e41643, 0xe4c0abc6, 0xb00a6d8e, 0x732a04e3, 0x469e1bfa, 0x85c7eb74, 0x44f2a13f, 0xa55fbba0,
+    0xae8df231, 0x230f8cd2, 0xc9acdf7f, 0x007b9015, 0x1a65c14a, 0x67d1ec60, 0x14354953, 0x3e9c4d9d,
+    0x6bbee1df, 0xb865e32a, 0x70423840, 0x31685c4c, 0xa8bb2d8d, 0x2b6cc21a, 0x560a6ef9, 0x72d074b7,
+    0x7076b1d2, 0x986b601a, 0x099652b6, 0x167787a1, 0xd13be9f0, 0x92cbe093, 0xc97b20da, 0x44386641,
+    0x7fb08f09, 0xf7682735, 0x68256904, 0xd3d203b7, 0x6a6b664d, 0x2e8afe54, 0xf4e22a9b, 0x1b191ec2,
+    0xd29cc5e9, 0x2d8df7f7, 0x9d815025, 0x041e56f2, 0xb5b959ea, 0x508988b9, 0xf69a8851, 0x7905bda4,
+    0x91601e55, 0x0e63198c, 0x9851d450, 0xc0b7d563, 0xd13c41ef, 0xd613432b, 0x2d52b646, 0x11a64082,
+    0x75b10412, 0xacd87f4d, 0xafa66be7, 0xc4b0d72d, 0xa17652bd, 0x6d4bb06e, 0xd6ea3d88, 0x7e21778a,
+    0xd17cc023, 0x1e658e43, 0xadbc95e2, 0x13156713, 0xc788eb6a, 0x9b54114d, 0xc4e25390, 0x7db80364,
+    0x9b55ee4b, 0x26149e31, 0x0e123b45, 0xd28aaacc, 0xd61ec6dd, 0x28ef2bd5, 0xd0a7074f, 0x150f46db,
+    0xeebfeb45, 0xe6310970, 0xfd699b0a, 0x9fa1d8c0, 0x9310b3b0, 0xf7baf975, 0xb156593d, 0xdb99d659,
+    0x02032a5d, 0x22e1bfb4, 0xbdbabbc0, 0x7719780b, 0x64960192, 0x5015ba67, 0xd072d167, 0x6a5462d8,
+    0x917f2a51, 0xcdbb703c, 0xd584e4e3, 0xbb3e2535, 0xbc3dc25f, 0x87ec0b4b, 0x481deb2d, 0x9d5f141a,
+    0x66e3a91d, 0x0e09c7a1, 0xaf2ef159, 0xd7cb23f0, 0x2352b028, 0x567a73c1, 0x779e7738, 0x3a333e0e,
+    0xf357794c, 0x175ca384, 0x9d92a4f6, 0x39275e1a, 0xa1b310c6, 0xb6f45586, 0x25dabd03, 0x1a45ccb6,
+    0xfece5f5c, 0xdb1dc8d3, 0x0a5bd1f7, 0x6e4c3c2f, 0x8120c5ef, 0x1203df4b, 0x8a001473, 0xe5af9926,
+    0xfaafb4e5, 0xb129aceb, 0x65164a27, 0x0d05a8de, 0x5057ca71, 0x423ec127, 0x9c4d561e, 0xc7ad983f,
+    0xe92085d1, 0x34967d80, 0xfd73991b, 0x6e618ec9, 0x08e663e9, 0x0b23d380, 0x38c3e5a4, 0xf5380d67,
+    0x3a9fb6c6, 0xf37ac418, 0xba107d39, 0xc69a0301, 0xaaf57b82, 0x9224949b, 0xaddc2e7b, 0x56f1f083,
+    0x6cd1586e, 0xc99d2d7b, 0xd9da7678, 0x56dda2f6, 0xe7033aa1, 0x2f0769a8, 0xa4fe529e, 0xa58a799a,
+    0xe9e15056, 0x83acceae, 0xf7b2a2bd, 0xf01bb0fc, 0xfb0c005c, 0xcd4f6ca7, 0x1b9bb440, 0xc9dd7697,
+    0xd3a99921, 0x855a8796, 0xc73a226b, 0x9dfa10a8, 0x0c0995a2, 0x9b0587f0, 0x74a7d89b, 0x6144e404,
+    0x25b6ade4, 0xf66b9cb1, 0xe0db1f22, 0xa271288a, 0x0b983f59, 0xeeb984b2, 0x138a676d, 0x283cb895,
+    0xe453f95e, 0xc95bc8ee, 0xc464c2f8, 0x1978b8cf, 0x98c11851, 0x5ace8545, 0x74a87a64, 0xed575434,
+    0x3d644ceb, 0x73b02b18, 0x66af1f71, 0x278d4a74, 0x0dde17c3, 0x467c34ce, 0x852143b6, 0x97608a69,
+    0xce18bced, 0x209133b2, 0xe6e5a0a0, 0xee2c9c1a, 0x5b30c2e9, 0x1ea4f5e7, 0x103033c9, 0xc27e4a2b,
+    0xda21437b, 0x116b180e, 0x24ef9265, 0xd8ed227c, 0xec9859d6, 0x8d9757c1, 0xd7548ffc, 0x5e016f84,
+    0xc064d350, 0xc54f4b8c, 0xec7197d4, 0x2112f59f, 0x0733c08a, 0x22c7926e, 0x4b471e0d, 0x4ee8178f,
+    0x38c54867, 0x09e0280c, 0x0c0c3c0e, 0x71b10ed8, 0x157bdbd1, 0xfa19b704, 0xe069eaa4, 0xdd6b66bc,
+    0x050ca63b, 0xce964a7d, 0x9da2699b, 0xaa391e6f, 0x290005e6, 0xaafba7f3, 0xe484a7e5, 0x3e4e1fad,
+    0x3c7f109a, 0x04a32099, 0x62658984, 0x011851d8, 0xdcb0f141, 0x6b1fce2e, 0xa792d38e, 0x099693f9,
+    0xd342861f, 0x6002b1ab, 0xf1beaaa9, 0x9d8764f5, 0xdebae590, 0xed844e58, 0xde364c0e, 0x7ce12e51,
+    0x95fa678a, 0x091b770d, 0xdbd59fd4, 0xab807f58, 0x2f0a4e3d, 0x3e407aab, 0xe75df380, 0x0364c51d,
+    0xe853d42d, 0x6ccd179a, 0x6d56e2c4, 0xe76ec851, 0x6c591bf8, 0x3d7b9386, 0x56c0a168, 0x6433e599,
+    0xfac5ff4d, 0x24045554, 0x8d128ecc, 0x1d394acd, 0x37923438, 0x8740b244, 0xfccad501, 0xae26b0d5,
+    0x4568e7f6, 0x684c78fc, 0xc921e7ef, 0x05f5f6d3, 0xcad068cf, 0x61080aab, 0xf5f65228, 0xc4ad79f0,
+    0x7ccfc619, 0xf343facd, 0x7ff2463d, 0xa989c455, 0x56d331e9, 0x63d40756, 0x9508e6e4, 0xa8520ac9,
+    0x527d3967, 0x00570749, 0x083a68a1, 0xf3fe9481, 0x8996b660, 0x783f0f1e, 0xc5fc87f8, 0x8a75d72d,
+    0x073334c7, 0x6742a294, 0x49e17fbb, 0x0892c8e6, 0xf205512e, 0x6f932458, 0x49ee6cb8, 0xe7b294fb,
+    0x9d17ebd5, 0xa1306778, 0x950d8b0f, 0xdfd72af0, 0x0c1837dc, 0x3630e2d9, 0x80086cfd, 0xaf3e6526,
+    0x0490e071, 0xb524ab46, 0xfeecc4e7, 0xf065ec72, 0xbcf6b12b, 0x9db3d1ab, 0x07b10953, 0x9d17e9bd,
+    0xb6d2f558, 0x7179c233, 0x2772b290, 0xe3c1da9b, 0x77399349, 0x3de1a261, 0x37d5f37c, 0xb338104e,
+    0xe37f259f, 0x3e0f5f54, 0xf60cbe42, 0x90afe4d3, 0x3f610490, 0x45262110, 0x4b36b4df, 0x69cef4bb,
+    0x6c8a827a, 0x0a6a2145, 0xf7691d43, 0x0d08429c, 0xd544a4b9, 0x1a8c8010, 0x89f2d827, 0xbcdcca21,
+    0xc4ce1b52, 0x2fec2cc4, 0xfafd300a, 0x90f5c38c, 0xb2267469, 0x5f7a5c3f, 0xba25e6f2, 0xa30bedc8,
+    0xf1b13801, 0x2524b192, 0x6fbad454, 0x06558acf, 0x2a5b734b, 0xa169d04c, 0xea20d4ad, 0x282bcb10,
+    0x6bff479c, 0x1cfd2312, 0x563a89d6, 0xa322bf14, 0xc563ed51, 0x573bcd67, 0x8dc35060, 0x8bf80328,
+    0x8020615c, 0x69fec659, 0x0f6a183f, 0x35b8004d, 0x79121e71, 0xe09f9edd, 0xf94057f2, 0x123b3d76,
+    0x6199ea63, 0x94f8ca61, 0x62ee41c9, 0x2857cc54, 0xdbabb692, 0x5ab96729, 0x08c21d93, 0x762186ce,
+    0xd57b926a, 0x5e3d7600, 0x29b5aa03, 0x10f7191f, 0x061660a2, 0x93c00d80, 0x0e83ddb8, 0x02d6646c,
+    0x843ddb01, 0xcde6aec1, 0xdd941c6b, 0x61ebb84b, 0x16b05fe7, 0x346a6623, 0x02d27568, 0xa5f9d063,
+    0x5e82e22b, 0xf571c881, 0x99ce5b08, 0x87c563d0, 0xc621c48e, 0xffd3530c, 0x99f65b65, 0x27e76285,
+    0x5408852a, 0x95b9bb12, 0x1c93bcb8, 0x11375bc1, 0x4c51cab6, 0x09b04fbc, 0xc84bbbd1, 0x963d560e,
+    0x60865937, 0x7d71bd18, 0x8192f7d0, 0x40645350, 0x2e662fc6, 0xc1340689, 0x460b49fe, 0x0e2479ba,
+    0x286e8377, 0x9fa8a2c0, 0xa6fe2fd5, 0x96d79b4c, 0x258e7f6f, 0x364d6455, 0x7e3badcd, 0x6783ea49,
+    0x02b10b96, 0x7382fa34, 0x9d421c24, 0xe95a0064, 0x5e2eb90d, 0x844debbd, 0x52aff225, 0xcf1972ba,
+    0xbccc9add, 0x0e915546, 0x301048fd, 0x73a3ad9e, 0x24675ac8, 0x4a8e66f8, 0xaf23d76d, 0x8b34993a,
+    0x55ea92e8, 0x68b73957, 0x4805a3b5, 0xb7d538d8, 0xa14a3dc9, 0xae9bfcf1, 0x62f77b80, 0xf34512af,
+    0xfa65b818, 0x89477f52, 0x24bd745e, 0x2384b300, 0x5f5cc217, 0xa606c8e1, 0xb898ebf0, 0xf7546125,
+    0x98b78765, 0x023c9dd9, 0xe6e26049, 0x600161c7, 0xd4899d8d, 0x8f43fa4d, 0x14557e35, 0xb95553ea,
+    0x059b615d, 0x8f534498, 0x41be4579, 0xec865ebd, 0x3c97470a, 0x86f6b448, 0xb709ad9a, 0x23ce4286,
+    0xdcf04d02, 0xbc41ef79, 0x1ed006ee, 0x2127b189, 0x12044fce, 0x043f0193, 0x33529105, 0xd888a723,
+    0x85a9d2b0, 0x0bc17d2e, 0xa4e58351, 0x301258e6, 0xfea3bd57, 0x3cd345d0, 0x5df84ebb, 0x2c9e1c93,
+    0xe104e512, 0xc5addfc0, 0xb079b769, 0x8d196155, 0x43fee52d, 0xfad686ca, 0xbac0c7fc, 0x96a4935d,
+    0xe778ec26, 0x0080c2ec, 0xf9b6d5d0, 0xb5052ce7, 0x72177d04, 0x2bba4074, 0xf1094d42, 0x748d90ab,
+    0x3a1b7fea, 0xf80c332a, 0xf43bc3bc, 0xa6d45129, 0xfbcbe981, 0x5a786a39, 0x9cc160eb, 0x68a57385,
+    0x78ac7ab1, 0x6e764fa2, 0xed774c3e, 0xb24d16f8, 0xb983ac13, 0x59fede8e, 0x161961cd, 0x11c3e253,
+    0x97de3706, 0x645c6df1, 0x1800a180, 0x4f711f76, 0xccdf2664, 0x74a6bbf7, 0xd476f540, 0xf8e91661,
+    0xe1dca25d, 0x380ca541, 0xec0b35c5, 0xc5bc5260, 0x1c09e8ea, 0x095e9555, 0x17dc163f, 0x08c020ef,
+    0x99cdf944, 0x797fe4de, 0xf587050f, 0xf2c92c91, 0x660e4bed, 0x441c0c5b, 0xa0f7fdb7, 0xb43eb8eb,
+    0xa210617c, 0x5717f7f1, 0x1661fee8, 0x5b2b1b21, 0xaf8c79d7, 0x944744f4, 0x21270ac4, 0xf3970520,
+    0x923a1ae5, 0x063307ed, 0xf603d015, 0xa6fca7ee, 0x4027f418, 0x81153451, 0x438400ed, 0x4ae7568a,
+    0x5d22793d, 0xca2d0aed, 0x8ecb7a3a, 0x53f615b0, 0xc5422c9f, 0xe87d07da, 0x8a9d2749, 0x42f10c3e,
+    0xa27e7987, 0x93f38b9d, 0xfd48ce8c, 0x40879cf4, 0x8491c5a3, 0x378a5f89, 0x6cdd8e05, 0xfdfc4901,
+    0x1a5e9635, 0x0ffcb81e, 0x922fa190, 0xbb356915, 0x748c871e, 0x4b1ab798, 0x417f73a0, 0xa8ad36c9,
+    0x7f32199e, 0x160a4c05, 0x66bca303, 0x9206da73, 0x66044a21, 0xfe5120ec, 0x2b82d728, 0xd9323769,
+    0xc2afec74, 0x3291b47e, 0x282341c9, 0xc2acd28a, 0x5ba4df15, 0x2c8eb8eb, 0x17b01543, 0x9f87cb1c,
+    0xff31152d, 0x9759f522, 0xc7360630, 0xb45dbced, 0x8fede80e, 0x815bcc85, 0x0d4f70c8, 0xf3584be7,
+    0x081ac987, 0x0fee0ea7, 0x72c83a50, 0x6401bb54, 0x689406f2, 0x2dda6345, 0x15ce885f, 0xe30be801,
+    0x2099585f, 0x4c878067, 0xa2414ac8, 0xe3625ed9, 0x846686f2, 0x3e921d38, 0xd74fedbf, 0xe2e9fa8f,
+    0xe42cc3c3, 0xb83dbc5d, 0x2609ed13, 0x2ad652bb, 0x77b17fce, 0x77857d00, 0xaee35031, 0xb9fce0e3,
+    0xca825d41, 0xf3c03107, 0xee639fec, 0xa787a671, 0x71b16200, 0x0dadb7c2, 0x9187ec2b, 0xa64e2007,
+    0x65563051, 0xda6b7793, 0x60ebca5a, 0x6ad3bc63, 0x46bb7cc9, 0x11d23577, 0x7c90f0df, 0xbee3b9c2,
+    0xfaa3318a, 0xccd6c47d, 0x2e911d7a, 0x76a3bb66, 0x98cb660e, 0xf9f385a0, 0xa3516b7d, 0x3dd2a81d,
+    0x7ab85bee, 0xba590d67, 0x8c3bce1d, 0x5041160c, 0x549c477a, 0xc39be239, 0x335e492c, 0xcea0a438,
+    0xe6e2c5a9, 0x3c59df53, 0x28199baa, 0xcfa89860, 0xf64085a2, 0x53dab300, 0xf1c3e96c, 0xeeb9512f,
+    0x27885aa7, 0xc8a33d7a, 0x4d3bf79e, 0xd3a24923, 0xe39af3f4, 0x098761a0, 0xb585c6ea, 0xf6f5c88c,
+    0x6c43e611, 0xbfd2c5c7, 0xb280e207, 0xb30a29c5, 0x081aa1ed, 0xb9c0afea, 0x500bf3ee, 0xc7df17de,
+    0x8f37289f, 0x12085bea, 0x4f0959c0, 0x6508277a, 0xf5cdbb6b, 0x05e8fccc, 0xdbaa9fb5, 0xf26e4911,
+    0x8fe95b68, 0x5194e169, 0x0b7afe28, 0xe7b56a70, 0x4b0202ee, 0x58181dd7, 0x937ebdf3, 0x27546a11,
+    0x7f5ce2f2, 0x4c689d7a, 0x00cdb356, 0xbd8eb64f, 0xadbfbfdf, 0x566d11fb, 0x2ee51686, 0xc2b31587,
+    0x3aece069, 0xc93db229, 0x5b41e1fe, 0x620f96c5, 0xaa57ad9a, 0x73cb4003, 0xbf14090e, 0x63b13339,
+    0x42f556dc, 0xab5b3ff3, 0x84ab4b68, 0x82100eb3, 0x433eaf55, 0x9b3684e5, 0x24bd622e, 0xc55655f9,
+    0x868f616f, 0x30c1345f, 0x00653633, 0xe9e26826, 0x615cdbe2, 0x440c8a5e, 0x0b4ad658, 0xc3794afb,
+    0x68d174e7, 0x1c43cf02, 0x38ad8395, 0x8d5507e9, 0x97334a4a, 0xb4e9951c, 0xf9633e07, 0x13f80443,
+    0x740d42d0, 0x351c37eb, 0xddc3a672, 0x61dbe99c, 0xf051dc7a, 0x0f694d53, 0x1454c980, 0xd0ee9ee2,
+    0xe8adf380, 0x130fd967, 0xf605113b, 0x7166dcdf, 0xf331138c, 0x2019fc9b, 0x599d10ea, 0x531a99f7,
+    0x0f10ad6c, 0x5c09833e, 0x1f5485cd, 0x1ca9207a, 0xbf10488f, 0x576cf77d, 0x7912c007, 0xe9f234ac,
+    0xba1f39c4, 0x0bfdab59, 0x610a91db, 0x68a65cf9, 0x1bb9aa92, 0xe6f3afe6, 0x57864c32, 0xb4e3a978,
+    0x65ede1e2, 0x672b37a0, 0x3251f127, 0xa58aef91, 0x637de738, 0xc68d6f70, 0xd8ff9948, 0xf201bbfd,
+    0x15b6f3cc, 0x322d6b37, 0x560d4c8f, 0x4871aadd, 0x3d743e2a, 0x8d131df6, 0x367a6048, 0x58b63b12,
+    0x9805dfa1, 0xe8863d19, 0x40914696, 0x5007f310, 0x16c93d35, 0x37ee1c23, 0x08c1d780, 0xb25b2ab1,
+    0xf4d48605, 0x860dbe76, 0xf6f13a5e, 0x89acead2, 0x95abd1d6, 0xb0a91e13, 0xbed52a7f, 0xc2d01d64,
+    0xad9dc001, 0x4fab1147, 0x73c72d15, 0x5d8e4e07, 0xf3af9271, 0x265ae731, 0xca712a0e, 0x94c5d67a,
+    0x86546b4f, 0x6639b42c, 0x5368280a, 0xdf797cae, 0xa8410b3e, 0x95c424b0, 0xc681fa9b, 0x0b88de7b,
+    0x35ec5434, 0xbca5c8f3, 0x687c6593, 0x5e8c94b5, 0x2b1942e4, 0xb257f928, 0x00113166, 0x6b72da4c,
+    0x02c68124, 0x8cfdf3e3, 0xf931dab7, 0x3b954aca, 0x5689b5f8, 0x9dd84f02, 0xcc793371, 0x1e0bc766,
+    0xbc9dc22f, 0x419d26c2, 0xc2b6d7de, 0xd6f22dba, 0x0842245d, 0x8be5e748, 0x40c9944d, 0x6719ed77,
+    0x1ee87ae2, 0x615a60fe, 0x8d3be205, 0x1843b65d, 0x3908f9b1, 0xe2882e77, 0x12e6eef4, 0x5d2f7ebe,
+    0x3dfdb2d6, 0x1aa8815b, 0x947a1d99, 0x5e85500e, 0xb6ac189c, 0x0addff44, 0xf07d6504, 0xd9057379,
+    0x8d1d6593, 0x4c1e19c2, 0xeca782fb, 0x2d4049bb, 0x268edd5e, 0xf9f5307b, 0xda3fee40, 0x5326eefd,
+    0x00000000 }, /* 10**04189939978107061593616882811939326914837301818935122930538612951163051259397\
+                         98343025058571817715732115313495568327689089179808837873330310826051531440128 */
+  { 0x00000000,
+    0x4d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7859,
+    0xd06650fd, 0xe9dd51f3, 0xa3e24bea, 0xb63ad0bd, 0x61435ee4, 0x80565ca5, 0x4cff162c, 0xd4f60337,
+    0x00000000,
+    0x8b5b36fc, 0xfadb842e, 0x4f25a8ca, 0x2920fec2, 0xa57ec4ad, 0x3fe77328, 0xd1900ada, 0xd55f9508,
+    0x99dfb72a, 0x925ab2c7, 0xbd857924, 0xce0d46a2, 0xcb080d9b, 0x7bc72308, 0xcdf4e329, 0xd8c63d6d,
+    0x125a1d7a, 0x25274c18, 0x6655f196, 0xca6929ed, 0xfdfe0d87, 0x800425e2, 0x991c0a13, 0x8b49053e,
+    0xdc74615b, 0x4bc9abaf, 0x20d7e415, 0x897ce680, 0x6f2efc4d, 0xa79d1ce8, 0x176c7183, 0xad10686c,
+    0x5be08038, 0xa4d063ad, 0xca1a0f15, 0x4efa58f3, 0x65feca7b, 0x02e6b7fd, 0x6157fd6d, 0x195ed442,
+    0xa17a454d, 0x5c70df36, 0xa043a850, 0x8bb72747, 0xbad65482, 0x0dbd9486, 0x746bdda4, 0xa5b93df9,
+    0x464899d8, 0xbab1c925, 0xae9934dc, 0xd9919033, 0x6ba3f78d, 0x78835c4a, 0x0d77c17d, 0x6d8259c5,
+    0xf0046ead, 0x1919f21d, 0x6a092df9, 0x2acdd353, 0x05e42d3d, 0x802cba04, 0xf604c623, 0x608f464a,
+    0x3bfa646b, 0x39ed258e, 0x03a51d80, 0x95c8cebc, 0x45ac963e, 0x78fdf74b, 0xa4341ed9, 0x2e94f65e,
+    0x8d88111e, 0x4b02cdd7, 0x96a783ab, 0xc0c6b767, 0x9d44e3c7, 0xef93d1f7, 0x0d98dfd4, 0xc4bce12f,
+    0xcec47392, 0x193112dc, 0x94b876d3, 0xeece3819, 0x6919ddcd, 0x83545649, 0x47af186a, 0x0da7cc95,
+    0x154e89d8, 0x389fdf7f, 0xcccd81e2, 0xe9f65029, 0xdef3a2a3, 0x2d1cf380, 0xb1ee3265, 0xad75578c,
+    0x1a581044, 0x76976b25, 0x59943e1b, 0x7c04f227, 0x144f2639, 0x8f75a7ef, 0xcc7b3a36, 0x9727104a,
+    0x4c366025, 0x0320d12c, 0xa9c17d87, 0x3e2a5a35, 0xa252eaab, 0xbe6e1c58, 0x7a5014ee, 0xd46821f8,
+    0xeac0bacf, 0x002a9ab0, 0xccb51855, 0x0c463603, 0x6a5366df, 0x01feb724, 0x98325a2e, 0x74c6f3b2,
+    0x0383c4c1, 0xfea1bdf3, 0x3e2f6adf, 0x479b6e16, 0x25678d8c, 0xb0b09b6d, 0x768cb386, 0x7448c48c,
+    0x9834c499, 0xa4b847cf, 0x79dbf5b5, 0x32d1c05c, 0x2322c270, 0xc3bf9841, 0x42d36819, 0x7faafdb2,
+    0x3a496e04, 0x3acdad7b, 0x792595a8, 0xef1cb5a7, 0xd3cb729b, 0xbf240440, 0xa2bd1882, 0xce3a3cb9,
+    0x41260462, 0x16b6027a, 0xe16b055d, 0x1adc3e85, 0x19baea10, 0x1ddebbfe, 0x53d775f1, 0x37d9a356,
+    0x8911c018, 0xc6206833, 0x7196ebb8, 0xb64d0f26, 0x5f807575, 0xd0df7cd1, 0xbaa76089, 0x2090743a,
+    0x99f7bbf6, 0x286760c1, 0x2afec89a, 0xf311a805, 0xf65526b6, 0x77214b8c, 0x9da70531, 0xf5774a57,
+    0xa60d3691, 0xc9544b67, 0x8eb683f1, 0x84f166b4, 0x01295df3, 0x46f4c0b0, 0xfa3bd48c, 0x9470ffa8,
+    0x8f78e100, 0x47a98ffe, 0xe286b275, 0x371874dd, 0x3c8aabd8, 0x290528dd, 0x0b7d5d2c, 0x54d31cac,
+    0x9934949f, 0x9e397206, 0x7094107e, 0xf3d1b338, 0x895518be, 0x9f20bc75, 0x5072a0e7, 0x2b852efd,
+    0x3a70a231, 0xa6354d81, 0x36b38940, 0xe75646ca, 0x56caa1eb, 0x5bb248a3, 0x8cb6eec9, 0xd4f081da,
+    0xaad26cdf, 0xcc2cff53, 0xcff32c2d, 0xce30457b, 0x3ed14bcd, 0x2f63d8e9, 0xa23588d6, 0x7a58766d,
+    0x8f216eb4, 0xf3112726, 0xb258f743, 0xd0587bee, 0xd1b9f9bb, 0xa70bad00, 0xa29d5199, 0x8453524c,
+    0xf1b2fc62, 0xc64a711c, 0x90838143, 0x82670b7a, 0x12f4d21a, 0x09811429, 0x8527de5f, 0x176e6b4f,
+    0xd924cabd, 0x1e274cee, 0x322dc7a6, 0xdf1f8821, 0x18516df7, 0x9a0e9056, 0x055e2122, 0xb0641835,
+    0xdf19b117, 0x86209a26, 0x06b40d2e, 0x7eb7a4db, 0xa3932908, 0x6354cfb9, 0x0ac97991, 0x75c93d57,
+    0xfc71fc6c, 0x303f8aa1, 0xea1bb834, 0x30dc164f, 0x816283f5, 0x1779d02b, 0x684b7d55, 0xd95cd55c,
+    0x918d595a, 0xc9333765, 0xf0f6c30f, 0xd15a73d0, 0x56637c60, 0x309ed6c1, 0x2157bc9a, 0xe7c2a9ee,
+    0xe567b5a8, 0x11e6233e, 0x6774180b, 0x1e033423, 0xfd73890e, 0x35002252, 0xaf156a1b, 0xe30580d1,
+    0x95b25d09, 0xa5b499de, 0xf9fbc5b3, 0x0a56b891, 0x886a1807, 0x20408dea, 0x76d277ae, 0xc5a43c8e,
+    0xaa6d3dd7, 0x364feccd, 0x793e5ba4, 0x56aec3fe, 0x89cdced6, 0x790512a4, 0x22f53556, 0x0b6247ee,
+    0x213015a1, 0xa4a698ef, 0x5bf39336, 0xafccdbb3, 0x2cb42d77, 0xa579a793, 0x0acd6c76, 0xef77527e,
+    0x9b113c7d, 0x15030ff7, 0xa9f320cd, 0x0d584696, 0xbd4c5947, 0x92de5c24, 0xd5725201, 0x1b2c1c04,
+    0x34168cf3, 0x8d3d44d1, 0xca24e9a7, 0x72f12fdf, 0x77a100b4, 0x344573d6, 0x733de1ef, 0xc342c77c,
+    0x818b7b34, 0x8fff2c56, 0xa3d9b3e9, 0xab05e550, 0x3e006be2, 0xb0bae8c9, 0xd3ffe1b5, 0xc8c84ada,
+    0x571cab0a, 0xa4504ec6, 0x265b0b58, 0xdb1b18cc, 0xac7a478e, 0xd983e02b, 0x2d29940c, 0x4fcee346,
+    0xbe40d768, 0x6f2692a6, 0x5ddf7e6a, 0x2db1acca, 0xa2a3f456, 0xb3578325, 0x772181ce, 0x11dfa53a,
+    0x7df1514b, 0x46b580a6, 0x2621e86f, 0x30a68c79, 0x517cb190, 0x1df278e9, 0x5a1fa601, 0xab1381ba,
+    0x2058c1e5, 0xa88a9b0c, 0xcb9b6abb, 0xbb29ee88, 0x80fbe0d5, 0xf49d32b4, 0xaee51700, 0xd6dfe1db,
+    0x122f692d, 0xa1cf999d, 0x271c52a5, 0xb4aed612, 0xefcf4153, 0x6f01c58b, 0x763a9b9a, 0x9542fba8,
+    0x687171e9, 0xd6b7c4aa, 0x665743a5, 0x065ec863, 0xa721568f, 0x07922824, 0x401ac4f6, 0x22b43bb1,
+    0xed6f3e94, 0xc98c0e48, 0x6da2b0ee, 0x8c4a9c71, 0x2cf1f7e6, 0x1d9b89e4, 0x22ba208e, 0xd4d179ae,
+    0x2471d3e1, 0x98b23aac, 0x9bcfd97e, 0xa408ca90, 0x1c5bd714, 0x3e4f85fb, 0x44d80023, 0x9621f441,
+    0xc60e852d, 0x794a9035, 0x58f1eaa6, 0x68605e74, 0x614d6c62, 0x47cd95b4, 0xc78d427f, 0xe58c55da,
+    0xeff6e7ac, 0x5d847610, 0xee01ffa6, 0xbf8f03dd, 0xc4ebb154, 0x58853862, 0xb50db585, 0x4f637659,
+    0x4c4f5bef, 0xf2370bce, 0xa002facf, 0xe018b992, 0x67cdc5ab, 0x182372cc, 0xc61f6d45, 0x0fac8bc7,
+    0xd72c076a, 0xd7491dd6, 0xd372d97e, 0xa620e0ff, 0x189e4bca, 0xa58298b4, 0xe85dc64f, 0x5496e577,
+    0x75ec6677, 0x653e141f, 0xa60d6bfd, 0x7ddbf365, 0x025f3b47, 0x480aac23, 0xa7802c08, 0xd0c2b29d,
+    0x8cd7ad33, 0x1e04263d, 0xb87fdf6b, 0xc43d31d0, 0x613cfa42, 0xfe66be85, 0x9f154f4c, 0x0143fd2b,
+    0xac09e807, 0xb4ca4986, 0xdebc6072, 0x332c63bc, 0x890a42a2, 0x0a1f617b, 0x90ad6adb, 0xe782a0ec,
+    0x8886efb8, 0xe47fa02f, 0x47186f40, 0xd798e50c, 0xa2be7183, 0x1e3c3cb7, 0xb2a24600, 0x03b1b983,
+    0xf6716c89, 0x8387d8a2, 0x297ab0ef, 0xe879932e, 0xece09012, 0x07e01f34, 0x59ec6f66, 0x5cfebf26,
+    0xd1afe91c, 0xc0fdfd5f, 0xfb43cbfa, 0x812cb2e2, 0x40bb1a99, 0x4ef639a0, 0x6a86055a, 0x70798cf5,
+    0x732660fb, 0x7f2c2ad4, 0x56e651a0, 0x03178e1d, 0xeb52f7de, 0x4eae1e85, 0xeef6d3f4, 0x68258387,
+    0xd7794fd2, 0xe329273d, 0x2d165a18, 0x714abce0, 0x8a4e1eff, 0x037085f0, 0x6a64a915, 0xbb78c86d,
+    0x7a33acd7, 0xaeb35c30, 0xba4db139, 0x754360f2, 0x90e5b35f, 0xd8375ec9, 0x2988ea77, 0xd087f1f7,
+    0x29410c0f, 0x595126c1, 0x6a173e6d, 0x3483fd85, 0x493a541d, 0x4aec5df9, 0x7a60fb62, 0xf039dbc6,
+    0xe0618138, 0x43fb42b7, 0xe546bbcb, 0x9771ec5a, 0x00469921, 0x5bc11553, 0x1431c1c7, 0xb1ce2991,
+    0xc3fd2f85, 0x70a85409, 0x2fc1b3f1, 0x113f33b3, 0x53c2bf77, 0xe08451fd, 0x417f8220, 0x7ffc8309,
+    0x2c7bdff7, 0x6178a02c, 0xfa306f87, 0x2327f67f, 0x261df164, 0xe9a481a1, 0x0b99a1ae, 0x25000193,
+    0x944e5886, 0xcc5c694c, 0x62032e3e, 0x782c6449, 0x669a4e20, 0x8a9e31a5, 0x38f39c5a, 0x9091d128,
+    0x24075b06, 0xec368fcf, 0xcbeab98e, 0x46ba3e97, 0x72ed057e, 0xa2ae3419, 0x6131177a, 0x0b791f38,
+    0x4944471f, 0x15040b52, 0xac6ec850, 0x7cae874f, 0xf9351ff5, 0x488986e7, 0x3af91238, 0x7f998f36,
+    0xe4b0ef9d, 0x3b611031, 0x7708f016, 0xcde4c760, 0x97870557, 0xfd673ac0, 0x4b5d733b, 0x01a2e9b2,
+    0x4eb7698c, 0x873cb4e8, 0x52a339fd, 0x9f095e99, 0x02a31a57, 0xe07b500e, 0x8abf9eca, 0xa3bc5aa0,
+    0x39837c09, 0xef5496a0, 0xd4d5bbd9, 0x06491c49, 0x7eacaff0, 0x8752ffbf, 0xd70e19af, 0x573cf04b,
+    0x3c6ea4f9, 0x244c125a, 0x6a2d5828, 0x4dd53cb6, 0x7d8fb3f9, 0xd25700ce, 0xf867cf60, 0x5571dd32,
+    0xcbbd77d5, 0xfaab637e, 0x90bd8879, 0x74616908, 0xbaf943fe, 0x5ed0834a, 0x49bbe6cd, 0xe1660d49,
+    0xf48afd12, 0xb8ef2f99, 0x302fdc02, 0x531f3838, 0x7a2e6de8, 0xac38b319, 0x1d575916, 0x2fea576a,
+    0xadde187e, 0x54f90a0a, 0x2cab674e, 0x89128fe9, 0xa428bef1, 0x9bb88739, 0x944134e5, 0x4d7e6f5f,
+    0xdfc0b464, 0x0adc1365, 0x6c267d43, 0x2b11628a, 0xf5b16357, 0xff5d2738, 0xf7b2fb61, 0x9a92f1fd,
+    0x117efc6a, 0x4773761c, 0x4790e1e1, 0xb0db2fad, 0xf5936780, 0x3fb551a0, 0xfe635669, 0x67fc976f,
+    0x6b9f3fee, 0x9f6c0681, 0x82dd47f2, 0x1e0004a9, 0x20bed7b2, 0x9713499f, 0x03b39978, 0xd5af4e76,
+    0x478c813d, 0xafbc2625, 0x127233d4, 0xae670cb6, 0xb1ec65dd, 0x882fa505, 0x2918e35d, 0xa5349e13,
+    0x74c722b9, 0x95284489, 0xdceca3ee, 0xf78827ed, 0xfd565e48, 0x443407e1, 0xca4f5efc, 0x0224be13,
+    0xd4cc46f1, 0xfaa8d378, 0x80383530, 0xb10528f5, 0x36e6459e, 0x9afd0990, 0x3b208e99, 0x438e87bd,
+    0x29d5e772, 0xeb4f4acc, 0xaedf319d, 0xebc6ff97, 0x61e76c07, 0x30b38a68, 0x547741b3, 0x2f86050e,
+    0x67920266, 0xd8f2075a, 0x34236e12, 0x89933f78, 0x6c350960, 0x2ab0558b, 0x73e00d4e, 0x8224bc30,
+    0x65930861, 0x3abcdd17, 0xf6a4129f, 0x549d292d, 0x63f3022b, 0xf527c21b, 0x20927d41, 0x50b0db4a,
+    0xb256b01d, 0x828173f7, 0xee211550, 0x23631511, 0x75207cf1, 0x9cfc7d3a, 0x9e011cab, 0xeda20161,
+    0xbf0c4ced, 0x7cf03072, 0xda9040c2, 0x5159b7b8, 0x8d83cb9c, 0x63a35f55, 0x8ac8db99, 0x4c23d9a1,
+    0x8d0f9132, 0x09dfefdd, 0xcd530f8d, 0x69587c87, 0x9e487a1e, 0xd9124039, 0x9257ba80, 0x74616e33,
+    0xf6b09eba, 0x32b2312c, 0xf6a88fe2, 0x4b0aed94, 0x85670854, 0xe7d90706, 0xf377cd1a, 0xdd7b0371,
+    0x3bab9a93, 0x6674b4b3, 0x4f4cb197, 0x3078563c, 0xe0a821f8, 0x5a4cba16, 0x51a6131e, 0x1a858bf8,
+    0x03fd9182, 0x5343a701, 0xb25ca778, 0xf27e7366, 0xa701936c, 0x2a26f315, 0x12fda501, 0xb75ef275,
+    0x6ef66278, 0x32f37685, 0x0db56a0b, 0x9904ae22, 0x0d677052, 0x37a6b970, 0xe8ad5690, 0x2740191c,
+    0x0799b57e, 0x2cb96a2b, 0x5df874ab, 0xbf79caa6, 0xa1d92fb6, 0x2f61537d, 0x3b273683, 0x4b670d5b,
+    0x6815518b, 0xb22a5eb2, 0x26ac92f3, 0xdda9220a, 0x95c68aed, 0xeb7fc7ea, 0x09768b7d, 0xd655aa1b,
+    0x1db6a48e, 0x1cb91b10, 0xb4268247, 0x0f218ddf, 0x19a60046, 0xdc711cec, 0x737f423d, 0x12320c9b,
+    0x32af8f97, 0x7c9b88b1, 0xbbd5d70e, 0x2f734eeb, 0xd046cbb7, 0x37e3a05c, 0xc93cf16b, 0x69cfa909,
+    0xfc11e83e, 0xc1e0b4d7, 0xd4d367af, 0x22901cbb, 0x4ad86770, 0xb93cf196, 0x2ad884e8, 0x59cf8b71,
+    0x121c3419, 0xcc6ee2af, 0x49ef1413, 0xce8b4acb, 0x7bcfc4bd, 0x40737a47, 0x87988042, 0x9b7fe68d,
+    0x820f88ad, 0xbed6d05d, 0x1452fdc6, 0xfddc8bbc, 0xe5f8c130, 0xda272d6b, 0x9adddf7a, 0x3cddc9dd,
+    0xfbf01d1a, 0xbea83900, 0x51d99c96, 0xf007d4a6, 0x409c2c74, 0x2bc753df, 0x688b824e, 0x594b9a1b,
+    0x4a8adc82, 0xcde28784, 0x7189f77d, 0x44254b56, 0x66f4d3a8, 0x86c79bad, 0x074533d9, 0x9c3738e3,
+    0x3176b153, 0x98737c73, 0xfbb9231f, 0x59d8c31e, 0x514ff762, 0x76eaf493, 0x26f1190d, 0x8221bbee,
+    0x765c8311, 0xae32f754, 0xf7a48a75, 0xe40e579f, 0x7448c589, 0x603e8d3a, 0x505712ec, 0xd4fb0eaa,
+    0x866d77a7, 0xd04b1f5a, 0xbf5567ce, 0xb037c412, 0x01bd4cbd, 0x87a5be5b, 0x0a42fe85, 0xd63b1797,
+    0x6d9086da, 0x077d1809, 0x573f8a67, 0x8e0506c7, 0x563c2ea6, 0x9f6a58e4, 0xb38c64d9, 0xc222ef66,
+    0xf8854077, 0x7c36ea43, 0x52c930e8, 0x830f449a, 0xbb3e2557, 0x745bc3d5, 0xacd7148d, 0x55b7317f,
+    0x48b609d6, 0x5336351f, 0x752ea6cb, 0x884e4eaf, 0xafc76168, 0xbe29a6e6, 0x07b01e89, 0xb759b8e8,
+    0xe30f5660, 0xdbc739fb, 0xc09c80aa, 0xa74bfb9a, 0x1aff2ecc, 0x847a59e0, 0xb702b1cf, 0x1e0f626d,
+    0x90afc055, 0x34f53c21, 0x0bbeb1f5, 0x6b3e56af, 0x28f0fdcd, 0x4db3f199, 0xc718b057, 0x0aead284,
+    0x01572c6d, 0x3864cdf8, 0xfd03b343, 0x895d9407, 0x2bc294be, 0x76f25b9f, 0xc8dbb124, 0x91403fd7,
+    0x44f4690d, 0x372ce93e, 0x9bf80060, 0x5ea69660, 0x0eaf458d, 0x41f5e73b, 0x2835a5bd, 0xbc28e86b,
+    0x7f80675f, 0x3a9b8ab0, 0xcc898aac, 0x66b0eb68, 0x69bc0d9c, 0x89f2f985, 0xe7b4ab36, 0x0a1db839,
+    0x9c5b74ef, 0xf70b54c7, 0x680e879d, 0x76e9517a, 0x95829f01, 0x32924968, 0x89b5f9bd, 0x4b5719d3,
+    0xa3b8c700, 0xb28d422e, 0x4b7a4877, 0x1674c6fd, 0x7c721b3e, 0x0f52c11b, 0xf20ad250, 0x4904f485,
+    0xaa0cae8c, 0x1ade832c, 0x5817a00c, 0xa4e90e70, 0xde79bae9, 0xdba2db41, 0x30e8b02e, 0x95143b2e,
+    0x9a679a56, 0x72217558, 0x200661d3, 0x30666c9a, 0xbfb25852, 0xcec8ac6e, 0xeba8ed81, 0xb2c5ca7c,
+    0x127f8058, 0xae3ac3f4, 0x00cddb9e, 0x011acc09, 0x79375fb4, 0xe178eb2b, 0xb66e80f0, 0x6f30ac33,
+    0x62cd06d7, 0x7929211e, 0x45327611, 0x642c8e01, 0x5b8a86e6, 0xbe361ed3, 0xc1dcc8c0, 0x137b20a4,
+    0x1bbc56a2, 0x52205b50, 0x47912fd9, 0x48ac8a40, 0x605a9045, 0x722ea158, 0x766f719a, 0x39a8006c,
+    0x4e2d425a, 0x5b4aef13, 0x784f3623, 0x2653e1bb, 0x13618678, 0x4b58555f, 0x88f040f6, 0x93c04f05,
+    0x171f4c39, 0xe3ed276c, 0x0b5da358, 0x71e589d4, 0xdda9a402, 0x7220f143, 0xbf86f8bb, 0x680d265d,
+    0x5d6ed9fe, 0x2e9d3ab1, 0x70c40527, 0xe510fd38, 0xe5f8f5c9, 0x9ea2c0f2, 0x896c04f1, 0xd1086116,
+    0x8670f65b, 0x5e26c04e, 0x9cd78f62, 0x159e42dc, 0xe1a2b5d3, 0x079a3f77, 0x3bdec927, 0x4eaac64b,
+    0xadc0ad3e, 0x8ed94add, 0xca722e16, 0x32ef6e80, 0x0315a940, 0x88dbdc6d, 0xcec204f0, 0x98b01389,
+    0xd2807fae, 0x4c18f174, 0x9f68ee37, 0x716b5263, 0xec63343f, 0xc0b5235f, 0x875ba666, 0x3f8718f5,
+    0x58bc7787, 0xb8582a27, 0xd208d3ff, 0xda236fe7, 0x1523616e, 0x216c0232, 0xdb2a500d, 0xfc9b8f68,
+    0x3c7c2fc8, 0xb64ae767, 0x3d485934, 0xf6c146b8, 0xa327c8e8, 0x31c32b02, 0xd5ae0455, 0x6828c42e,
+    0x52c97a3c, 0x08c291d2, 0x4c7a07d8, 0x60d867e2, 0xe43d6064, 0xcbe6353e, 0x6fe92236, 0xb5e16c03,
+    0x00000000 }, /* 10**02094969989053530796808441405969663457418650909467561465269306475581525629698\
+                         99171512529285908857866057656747784163844544589904418936665155413025765720064 */
+  { 0x00000000,
+    0x46a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2c,
+    0xe833287e, 0xf4eea8f9, 0xd1f125f5, 0x5b1d685e, 0xb0a1af72, 0x402b2e52, 0xa67f8b16, 0x6a7b019b,
+    0x00000000,
+    0x858eb8b5, 0xf2d21d78, 0x73a17f88, 0x82b26979, 0xc0a8327d, 0x06c1978c, 0xceb43565, 0xe4e8fd3c,
+    0x4b9a5634, 0x134ca23c, 0xefda0965, 0x5e62e6b3, 0x511f206c, 0x9c68507d, 0xc54e6fa5, 0x46d04cf8,
+    0x258cb890, 0x70dd79fb, 0x966c7bfe, 0xfef3dd84, 0xefad154f, 0x68911d9d, 0xb0b6c0ca, 0xa68a2062,
+    0xa536c52d, 0x7bfee26f, 0xa1570a95, 0x96ae28dc, 0xcc223dc1, 0xd445bdc4, 0xeb313d0a, 0x656bcebb,
+    0x22b48960, 0x197db6eb, 0xfe0b54d0, 0x2d71bcfc, 0x8a256db2, 0x9e6cec03, 0x9fdfa5b6, 0xbcca7ea0,
+    0xd872111c, 0x52eb0066, 0xd43bf38f, 0x2b68037a, 0xccb0aeee, 0xd3eef2cb, 0xb0ebd05d, 0x144685d1,
+    0x6312e409, 0xe59e10e0, 0x95d2ec01, 0x4c74c189, 0xabbb4fc3, 0x914e7431, 0xcb6a5298, 0xe76171ec,
+    0x16d87fe9, 0xc74950b9, 0x6d42a7b1, 0x94707062, 0x7241e0ba, 0xbcaa0554, 0x0ad5e4bf, 0x31fc75cd,
+    0x0785875c, 0x996282b0, 0xbf17386d, 0x67a3684c, 0x6f3c7f03, 0xcf548561, 0x92b33489, 0xc7f361d3,
+    0x493fee77, 0x1c255415, 0x8fa95329, 0x3deae1a1, 0x8186327b, 0xfb08006d, 0x9266bb40, 0x48225931,
+    0x85ae55b7, 0xe9d848dd, 0x346378b9, 0x10a7cfbb, 0xd0e45da9, 0x934f4c30, 0x052b7d1f, 0xa3f83d85,
+    0x869fed11, 0x3ac085ce, 0x966bd5d0, 0xdf8f335e, 0x96e90f9d, 0x8f23cc77, 0x876a0a7a, 0xa06fa1af,
+    0x5ce547b6, 0x63ae4746, 0x55a473e2, 0x443a3569, 0x2bec89fc, 0x55857735, 0x32bd3531, 0x75bc6db2,
+    0x38c29fb0, 0xf58498ce, 0x12d127cd, 0xb7feaef6, 0xc99616b7, 0xe80e4c9b, 0x1714dfff, 0x645c70fe,
+    0x05f3fb5a, 0xb3ef555f, 0x02538287, 0x60421823, 0x2b14510c, 0xc4fc9c0a, 0xe97576ec, 0x26451169,
+    0x59ecd770, 0x1ae88d93, 0x1058f059, 0xf699aa7f, 0x982538a2, 0x03cf3b93, 0xb52fee25, 0xd42839d7,
+    0xb4ceec28, 0x1f53d88f, 0x6b16b07a, 0xd53ab54e, 0x63a6dae3, 0x9c0062b4, 0x49edcbb3, 0x91146aed,
+    0x53629efb, 0x8c32d0f7, 0x6f709a8b, 0x31e99e3a, 0xa586d14d, 0x4a47d3ae, 0xcfc1823e, 0xdb652ccd,
+    0x987ce4f8, 0x22f5075f, 0xc930368f, 0x62ba0477, 0x589ca116, 0x292b0411, 0xe4c51356, 0xf358060d,
+    0xada1bd83, 0x0a5fdf2d, 0x1e0a91aa, 0xed194965, 0x8691d195, 0x0edf98ac, 0x8572db69, 0x897a0940,
+    0xe260d7f3, 0xdf193cf0, 0xb99b6e97, 0xb3fb3fd7, 0x79228815, 0xab11742a, 0xbac28059, 0xd3085e39,
+    0x32e1f5c3, 0xa74ddbcb, 0xdabc26a4, 0x17a9bc79, 0xa15a6bc6, 0x130a73c3, 0x64f22a93, 0x9f463c11,
+    0xf2e46acf, 0x204855dd, 0x27c90008, 0x7fe0406b, 0xd948e752, 0x32afc969, 0x5f8d3727, 0x7e7d1aea,
+    0x95b516dc, 0x7a9c5849, 0xdc23a06e, 0xc146b7c1, 0x84f3d4ac, 0x093c7966, 0xb5886e03, 0x2c5494ed,
+    0x082d4d61, 0x4fbb8be0, 0x4ba43de3, 0xf58aa83d, 0x5b46877a, 0xb318a4d6, 0xe2237c7a, 0x1cafccbc,
+    0xf7b21bea, 0x643dc697, 0xf2046b9d, 0xabd59c1d, 0x76120947, 0x42b3adf6, 0xf40f4fe0, 0xcc68f5b5,
+    0x08012246, 0xb8b78df3, 0xde817234, 0xb68f4a9a, 0xfb0fc000, 0x06d9676c, 0x352b143d, 0xf26f2bc6,
+    0x48cab5f8, 0x578503ec, 0x5cd7038b, 0x921c6551, 0xfaabcb08, 0xda40121f, 0x73712a14, 0xaf8282b1,
+    0x2949202d, 0xaf5b534a, 0xe2f045b4, 0xc11eec63, 0xe1d1584c, 0xd7081624, 0x51e981f8, 0xb827ed7d,
+    0x57d208e4, 0xd547993c, 0xe491da1d, 0x43e81caf, 0xb9dc263e, 0xdce4eb8c, 0xf2a2a1b1, 0xba01cb00,
+    0xb46838f3, 0xfbdf0693, 0x4d3c0025, 0xc06b0342, 0x06f52531, 0xe5b4b598, 0xe4dc9495, 0x15e71921,
+    0xb988d08c, 0xac21e844, 0x3612c7b1, 0xba0d25b7, 0xababa92a, 0x5eafaaf1, 0xb35049b7, 0xf78f2d9d,
+    0x6417e782, 0x14fa41f5, 0xa2bd9220, 0xf88120f5, 0x9ace555a, 0x7d43d1d3, 0x3abf5641, 0x18cabc3b,
+    0x81caa849, 0x3f836d9a, 0x6b80c7b3, 0xd8af8a56, 0x82c288ae, 0x2013431b, 0x1ad25475, 0x25dbbfa3,
+    0xace7b1f6, 0x8e2a96b4, 0x6c4e423f, 0xb9c77725, 0x0b5289b9, 0x27f10e2f, 0x437c8658, 0xa2e057ce,
+    0xfb1967f2, 0xef16e727, 0x845a6a06, 0x01af9d3f, 0x99aee6d4, 0xe56e9212, 0x3f85e6a2, 0x2303f06e,
+    0x599378d7, 0x185fb850, 0x360033bb, 0xdd9f6711, 0x75d60b67, 0x6e0c31f7, 0xfa864dfc, 0x1b3876eb,
+    0x9b2d9c74, 0x9fcfb048, 0x3d069d62, 0x5cea1c74, 0xe3e55330, 0x8b817ae3, 0x3f19462a, 0x868b6342,
+    0x9c1b99b9, 0x4eabd908, 0xfabf69a7, 0x41aef26a, 0x88c6dbb5, 0x34fbd555, 0x57203eba, 0x45dc679a,
+    0x80d99c91, 0x8516f827, 0x927fcf1c, 0x4baf767b, 0x0c91b33a, 0xae8194a4, 0x2f31d6eb, 0x7dddc3bc,
+    0x7b3dfd14, 0x51e71656, 0x11b2e4e2, 0x3fe6e658, 0xad098e07, 0xde60cc81, 0x5da9420d, 0xe2584262,
+    0x3d45dc95, 0x445261b3, 0xd423c563, 0x4acca91f, 0xc9a8d941, 0x38d972b3, 0x2d46eb76, 0x8dd9cb75,
+    0x4157399f, 0x427bbb96, 0x84f099bb, 0xfcf97a4c, 0x0569c794, 0x2cccbc60, 0x5ad4de09, 0xea88a042,
+    0x0da9f3e1, 0x35f26474, 0xe540c7c0, 0x16f2fe9d, 0x4111fc4c, 0x5351747c, 0xd6b65289, 0x22848f29,
+    0xb35a1237, 0xebb29a1c, 0x8f0b78ce, 0x72b89013, 0xb8c280b3, 0x8906058b, 0xba9e745a, 0xbbdc1eb0,
+    0x239af2f3, 0xcdfb8526, 0x440f2d67, 0xa137e7e7, 0x877663e4, 0x15163274, 0x4eb96753, 0x3d8c0435,
+    0x859ab4b2, 0x80340ce0, 0xac07090b, 0x2a935270, 0x81ba84e3, 0x890ac23b, 0x303c368a, 0x9b82a9bf,
+    0x6b04493a, 0x636a40df, 0x36db6eb3, 0xcb79d7be, 0x325c9bc0, 0x586b1b98, 0x1cafdd41, 0xe29179f5,
+    0x46dcb494, 0x0d4e6d34, 0x9de43815, 0xfec8a47d, 0x792eb7aa, 0x28eeb279, 0x3e818ea8, 0xe36897dc,
+    0x4ca57963, 0x53c89456, 0x5bb6a407, 0x9a3c1a94, 0x00c85aa1, 0xf64b01a3, 0x439d2d24, 0x84611e10,
+    0x46663555, 0xe3c2b522, 0x434cfc85, 0x573d02ba, 0xd867a529, 0x44c2625a, 0x97647c47, 0x393924bd,
+    0x44c9ed78, 0xd371cbe0, 0xf0c2b374, 0x318b0b70, 0x8cc7979b, 0xdaf17e43, 0x46972f66, 0xf7471be7,
+    0xfe37204b, 0xf5f82801, 0xe5e3b61e, 0xdb25ce3f, 0x458e16e3, 0x1b6ed201, 0x1ba52575, 0x06c3461f,
+    0xfec4b052, 0xf4429cec, 0x8020f163, 0xf34385f6, 0xfb1f6e50, 0x643cc9f9, 0x5308a6bb, 0xc7b4f324,
+    0xfb7dd43a, 0xbae1af3c, 0x000d339d, 0x2bcaae5a, 0x24dd307d, 0xbb70e83a, 0x6e74a582, 0x57c21602,
+    0x6788ccbe, 0x8df74a1e, 0xe8c45ab9, 0xaa972821, 0x63e6b2b4, 0x5ca3d322, 0xb6f33c15, 0xcc51d510,
+    0x76265972, 0x9a825ad0, 0x0b22abcc, 0x3bedab94, 0xc9e2914f, 0x50445fda, 0x1e60306f, 0x9c509474,
+    0x0e145d59, 0xde6102d6, 0x14246800, 0xb1ac6614, 0xc8ce94f6, 0x3acff56e, 0x4bb02215, 0x72180ccc,
+    0x4fb1ad54, 0x27bbbdba, 0xd620b925, 0x2fd467e6, 0x725bed8d, 0x114c9af6, 0x62c91701, 0x28f2fb76,
+    0x3ee0f246, 0xa15948fa, 0x48f7ceac, 0x144b87c7, 0xc5c2dfcb, 0xd3eab6a9, 0x1099616c, 0x2c7eb67d,
+    0xa8e26c64, 0x03742b70, 0xf3c42b29, 0xbdeaf878, 0x963458f5, 0x13c8da72, 0xd367ac6c, 0x0192d8ec,
+    0xd704f785, 0xfa760864, 0xe861aa5f, 0xa5c6a8e6, 0xb5e2fcd7, 0x273bb9c7, 0xe07aae4c, 0x202cb41f,
+    0x5f45b2b4, 0x4c8cd996, 0x1c6aee1f, 0x8ba16814, 0x63330e82, 0x466ef213, 0xe168dce0, 0x5497c696,
+    0x62a31d1a, 0x309d31ad, 0x57c496e0, 0x8a26889d, 0x276f3f91, 0xabaf84f9, 0xd52a15dc, 0x77ed26d6,
+    0x03e30685, 0x7e940591, 0xf0402966, 0x01153a8d, 0x69a83c59, 0xf843b544, 0xd1f6c6f8, 0x0ffef5a1,
+    0xc2dd36be, 0x9139366c, 0x76b139b9, 0xb87119d0, 0x9c45cf87, 0xe1b0a175, 0x1746c2c4, 0x64ae2dfd,
+    0x1da56cb0, 0x3ac5a186, 0xfd2f0e6c, 0x7e7e3412, 0x05d5a99d, 0x8b87f6e5, 0xaee37fce, 0xd491fcef,
+    0x8e98df70, 0xd1ff2438, 0x59cdc554, 0x14607cfc, 0x390c8407, 0x4d38e176, 0xc9086210, 0x6db7c271,
+    0x2a16324a, 0x4f26958b, 0xa19bdc8c, 0xa6be4462, 0x138dd3a7, 0xc92ffcc8, 0x539a6565, 0x8e77d714,
+    0xddea5f24, 0x283548e1, 0xf56df77f, 0xb7dbce71, 0x323df99f, 0xb3fa476b, 0x23109a26, 0xf8519d28,
+    0xd0d0cda4, 0x422ffb90, 0x1effd7c8, 0x28d0fe42, 0x60adc618, 0xfbd1021a, 0xa70017a5, 0x5f1778b8,
+    0xf21612f5, 0xb5b31d57, 0xc1af269c, 0x9763474d, 0x2394b89e, 0x6d29a98a, 0xbaa10693, 0x2304df54,
+    0xd5f944ca, 0x5d6e1d1f, 0xc0456db2, 0x749123b0, 0x2f921476, 0x98027291, 0xf21984d5, 0xd54c6475,
+    0xd887a003, 0xb0cc7b60, 0xb7419995, 0xac4d21ac, 0x7162b166, 0xf385ce7d, 0xdaa3e1f2, 0x543a16c0,
+    0x4652441a, 0x0ac9d43a, 0x791cd17e, 0x5f777c03, 0x42f14da1, 0x9b29a98d, 0xbf8884f7, 0xdd6db462,
+    0x5c25dee6, 0x232d0387, 0x7fa9fa36, 0x74865f70, 0x0bc4c953, 0x573a19a9, 0xdaa673fa, 0x1ed6faa9,
+    0x37b669ee, 0xa3dbab24, 0x0b93a580, 0x13a2a348, 0x2a9d741c, 0x67721241, 0xb3dd54a4, 0xdd14fa21,
+    0x228f9800, 0xccf14ab1, 0xc60261ad, 0xfea9a652, 0xbacdee50, 0x6e0488be, 0x721986a4, 0xafc8cad3,
+    0x0da6c904, 0xa489b685, 0x1295b422, 0xb8a67bc3, 0x4c991f30, 0xeea534b8, 0x4e76b486, 0xcf639b86,
+    0xdeb004ef, 0xf4036a11, 0x292bdcac, 0xbd46dc4e, 0xb1718f9d, 0x2ce6e6d6, 0x242e40bf, 0xf32967d7,
+    0xb7e77ec7, 0x13b452d2, 0x15dcb7a8, 0xd5720018, 0x99a2041c, 0xcc67b35c, 0xdd07c518, 0x9d60ae42,
+    0x7da0d835, 0x6c5442dd, 0xc4216717, 0xbab60add, 0x7520f602, 0x7685cf5f, 0xb323d58b, 0x15fdaa03,
+    0x4acf95f9, 0x37424dd8, 0x830a6361, 0x75b6cf8f, 0x5d35fdac, 0x3b720aca, 0xa092c9f2, 0x05c0d0bf,
+    0xf70f8f0b, 0x989354ec, 0x34935e45, 0x6f8fc20c, 0xfaa20b3b, 0x85c59d10, 0x0eb980d5, 0xfa2cc4ce,
+    0x46d83643, 0x40dab053, 0xf88d420c, 0x4c3a8d0d, 0xe2c40034, 0x5426ebc1, 0xfa696f94, 0x5502bd7e,
+    0xc3d9f02b, 0x5ebd281c, 0xe0ea5f0b, 0x16ba9497, 0x3b920fb1, 0x316e3809, 0x5cb5cd10, 0x6029f8d2,
+    0xbbbab7cc, 0x903ec38a, 0xc9d7bd45, 0x2d4c68e9, 0x2ddea664, 0xfbf16f69, 0x62717e9a, 0x178b7899,
+    0x20927a58, 0x0f131ad5, 0x51d62f4a, 0xf0caf353, 0x398002fa, 0xa2693203, 0x59daa4eb, 0x3a38c0d1,
+    0xcbdcdd55, 0x863e074b, 0xcd7f7f92, 0x59f0506a, 0x4b7c1316, 0x03c25fed, 0xe2631392, 0xa28b0c1b,
+    0x9949654d, 0x5f11f632, 0x684b47e4, 0xde51ef91, 0x31c7279a, 0x03422d4c, 0x66b7a203, 0xea3dd4f5,
+    0x89c21d63, 0x000d0391, 0xa35a7d9f, 0x1bb23ce6, 0x67cc234a, 0xa35ac354, 0x27b0d5da, 0x5ff66b5b,
+    0x74576f89, 0xf627b5c3, 0x8c83d778, 0xd2e9c15e, 0xcc6d9c7c, 0x3637660f, 0x53300792, 0x66de370c,
+    0xb968f92f, 0x5ef6897b, 0x7719d3b5, 0x63ca3f1b, 0x10ef5a94, 0xef53b834, 0x73458261, 0x19c67659,
+    0x90f37787, 0x28ed653a, 0x6eeec970, 0xa140d7b4, 0xb8a0a836, 0x232fe531, 0x715a2249, 0x1eb28678,
+    0x0a50d65f, 0x5efb81f0, 0x0278a0df, 0xa19f8ab4, 0x6c1ff894, 0xd35dd8af, 0xff643621, 0xc033b891,
+    0xe915338c, 0x43475531, 0x5b394cc8, 0x63518e20, 0xb8903fd8, 0xcab16995, 0x1c96f46a, 0x72751b49,
+    0xbcced1d0, 0x009ad08c, 0x0ce4b25a, 0x6f5f5032, 0x9373565c, 0x64d856ee, 0x0a4e4172, 0x58309e5c,
+    0xac41db30, 0xcb981c6f, 0x0a125fb7, 0x9c88f63d, 0xa82d737c, 0x062e7443, 0xb2ce66bd, 0x965302ab,
+    0x275e6bd2, 0x8576e0ec, 0x12a11120, 0x6b072369, 0x0da35df0, 0xfe17684b, 0xbee153b3, 0x21a4f39b,
+    0xc70dcf62, 0xafbe05fa, 0xd2eba9aa, 0xa4a2aa82, 0xf53a3b52, 0x18fd79db, 0x5583192d, 0xcdcdeb1f,
+    0x1d4532ca, 0x2aab73be, 0x3e2b8921, 0x3b26ae6a, 0xd5e1f6a4, 0xe4760c21, 0xabf0c5fe, 0x76f7aa67,
+    0x2dbcafb4, 0x37dd68b1, 0xb89ca599, 0xe2c27147, 0x01c7a22c, 0xa9a655f0, 0xbfc3fdd5, 0x8d461640,
+    0xee563f00, 0xdc5ce555, 0xe32c393b, 0xb3f3b15a, 0x5e4828fd, 0xbb51c6f6, 0xb02ae8fc, 0xa06ceb31,
+    0xb75f62d0, 0x1d9ad329, 0x12cdd3ac, 0x13e46e0e, 0x6f3512bb, 0xe6ab7f92, 0x06541ff1, 0x7579bb26,
+    0x935b7f1e, 0xbf70f12e, 0xde92e76f, 0x4840f52f, 0x9ecb096e, 0xd3298d61, 0x3fa51a06, 0x7c4f1773,
+    0xfa1a41a6, 0x1110291c, 0xd168ee01, 0xcdbfa30b, 0x04e44a11, 0x92267e1f, 0x4b453cab, 0xcd12c7c0,
+    0xc7d4afd1, 0xdc8f1146, 0x20ee9c50, 0x18c72a60, 0x31a9938c, 0x913ffd21, 0x39dce405, 0x32d3f715,
+    0x7a07548d, 0xd5804b7a, 0xfdf207b0, 0x8f110fee, 0x744d9eb6, 0x5ccdf1f8, 0xfb550174, 0x98156f7a,
+    0x54c51d30, 0xc8cc3d8f, 0x558cf73c, 0x6923542f, 0x088002a7, 0x103713c2, 0xf189b099, 0x9e50d393,
+    0x0aff0fb7, 0xf8ae6a5e, 0x2e0da2aa, 0xc2da85a9, 0x0527b0a7, 0x7d0dd71a, 0xa7160c1d, 0x6ce7b0d8,
+    0x82e9d684, 0x9ab6b6a3, 0xbd533f50, 0x0e224c9b, 0xc289aa79, 0x50ba860c, 0x8bf652a6, 0x407d6d0b,
+    0x7b7052fd, 0x68b3c52f, 0x5b664a48, 0xdbcf8d1d, 0xe7c5b174, 0xa895aa55, 0xa5b5fc82, 0x8bcedbc8,
+    0x767d1483, 0x2c052fd3, 0xa8966de0, 0x605c045c, 0xa28ea63e, 0xacc5f898, 0x9ee8aa7a, 0xb5d87154,
+    0x2fae68b6, 0x816a725f, 0x9ffeb91d, 0xf8c40032, 0xe662f885, 0xfe47840d, 0x3ffae611, 0x6456caa2,
+    0xae2d6f76, 0x57a9778d, 0x3515702b, 0x71e6ef16, 0x95820c30, 0x9c07da1a, 0x6a1770cc, 0x15dbbe80,
+    0x2ebf4b61, 0x07296b0b, 0x7dce16d6, 0xce863594, 0x90e8edc9, 0x85649d6a, 0x1856d79b, 0xb41bbd9e,
+    0xcfecca7d, 0x0ce3bb97, 0xa433cf02, 0xc206b49d, 0xbb0e1760, 0x8a6fe3d5, 0x38e0763c, 0x23723e12,
+    0xc0a844a2, 0x0ee89344, 0x3cbc1727, 0xd2f4032a, 0xcdb10bc1, 0xa72e7a8d, 0xbd6ee39f, 0x7a7620e4,
+    0xbdec52bb, 0xb248440c, 0x29fe3e57, 0x6bab24ef, 0xf0cad92d, 0x8ef74ca1, 0x690025c1, 0xa0708572,
+    0xb4ee23f3, 0x00495db5, 0x705f0500, 0x102c76d1, 0x4f851df3, 0xaa7a9b20, 0x1104dcfe, 0x60ba2da2,
+    0x2d587ede, 0xe6192e8e, 0x8982b14e, 0x5024edff, 0x76df7f62, 0xb8c1c853, 0x15aa7fe7, 0x70a4ed8f,
+    0xe5486239, 0x0b753894, 0x2c21cf95, 0x41101567, 0xa2a3c9bf, 0x084637bc, 0x9d316b36, 0x46f34ba5,
+    0xecc85e41, 0x87dcf769, 0xda5e37f2, 0x3047ccd1, 0xbe52ae3c, 0x47055fd7, 0x32c3e63c, 0x3011be64,
+    0x1dc2b221, 0x4d7c4caa, 0x8211d59c, 0x8f11f815, 0xff128678, 0xdedfb9ca, 0xf0897936, 0x778e66fa,
+    0x782f1f63, 0xf5b2c952, 0xcbfa0275, 0x0f397d80, 0x37a1c262, 0x61054e1d, 0x9cd58bae, 0x1f63b1cb,
+    0xf0fcfcea, 0x7291caa0, 0x38ad48ae, 0x61a8c571, 0xa5cf95d4, 0x832c59d3, 0x160ff7e5, 0xec4d01c2,
+    0x00000000 }, /* 10**01047484994526765398404220702984831728709325454733780732634653237790762814849\
+                         49585756264642954428933028828373892081922272294952209468332577706512882860032 */
+  { 0x00000000,
+    0x435269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e16,
+    0x7419943f, 0x7a77547c, 0xe8f892fa, 0xad8eb42f, 0x5850d7b9, 0x20159729, 0x533fc58b, 0x353d80cd,
+    0x00000000,
+    0x82bfcd71, 0x01e285ba, 0x506148c4, 0x00fdceb4, 0x42e56ed6, 0xfe4e2201, 0x6c9c3c1f, 0xc8b5457d,
+    0xee77c8ba, 0xffce088a, 0x584a6c46, 0xb0e498a6, 0x66254ebd, 0xc2685322, 0x3d1d2c98, 0x6c7e4ca9,
+    0x04f97bd8, 0x138cbdf6, 0x980b4aa3, 0x71e1ac74, 0x8da8843e, 0x9f69b604, 0x1582ce53, 0x767e7b6f,
+    0x2c301672, 0x88a1e63a, 0x506cffdc, 0x1b7313a3, 0x6d970d54, 0xc1379f1a, 0x293aa7c3, 0x629cdd29,
+    0xf32ac10b, 0x93a19945, 0x382298ca, 0x951541e6, 0x7c65a4a5, 0x4ab7ce17, 0x6f6f2d53, 0x28a78f04,
+    0x50ad626e, 0xae5267d8, 0x229436ba, 0x9c3c1be0, 0xdfd87758, 0x01e1c7ce, 0xd0e361bf, 0x758d0807,
+    0xefc49f82, 0x28846a0d, 0x272bc3c9, 0xf28aa616, 0x3508c623, 0x410d19f9, 0xea826baa, 0x6e9f3c76,
+    0x4457a8a4, 0x82468305, 0x9f4469c8, 0x49961a37, 0x42ccdf8b, 0x7ae6ce49, 0x6ca0af72, 0xef4da3f0,
+    0x9618488f, 0xb63f0af9, 0xb6fbb3ad, 0x1065dc7b, 0x5a0c1101, 0xe3fddc1f, 0x2d6ef926, 0xc78bbe89,
+    0xaf1e4bd4, 0x8b58f309, 0x8e797cdb, 0xd11bfe36, 0x28eeb16c, 0xa80c2068, 0x78ccfbca, 0xa84a5654,
+    0x82ed09cc, 0x209ee43d, 0xfeaebacc, 0x43d39420, 0xb66ee963, 0x7de97bd6, 0xda1a388d, 0xaba9d26d,
+    0xadd743ef, 0x8703e493, 0xebecaf92, 0x3d9fac21, 0xbb86a720, 0xa0c19bea, 0xee0cef7a, 0x09a459c7,
+    0x1c37035b, 0x467858f9, 0xee76e0bb, 0x5fc4e7bd, 0x6245b9b2, 0xc18f5a3b, 0x910e6384, 0x72ce0d2e,
+    0x3d925d9c, 0xc11ed1d1, 0xe4f15ddf, 0x6d8364b3, 0x46cde54c, 0xa4373b2a, 0x4222531d, 0x3a1fc930,
+    0x36e79343, 0x495a4961, 0x23d16fb0, 0x4856c310, 0x3c8818f4, 0xc44a9158, 0xaf393880, 0x4082120d,
+    0xc2fc3c03, 0xdcc25a51, 0xdc59859a, 0x10354af0, 0x7ebfae5e, 0x8c69db0c, 0xc88aa165, 0x14a40225,
+    0xdc399a39, 0xd8e82859, 0xcde564ba, 0x7e20463f, 0xc92a1a26, 0xc0a42180, 0x1e531ad0, 0x2d0b69f4,
+    0xfdf9d024, 0x9482c575, 0x0426ea48, 0xf8e0e476, 0xa9c09bf9, 0x5f81b2d5, 0x658d99b4, 0x1cfb7eeb,
+    0xf620d292, 0xf62fbcde, 0x3991c322, 0x2cabb89f, 0x3be5e625, 0xe8a59e58, 0x322b455c, 0xabb247e5,
+    0xc307065c, 0x8ad43dd3, 0x320aa9a5, 0x045a086b, 0xa88dc11d, 0xcdbeda70, 0x8884d70a, 0xe45a9e60,
+    0x993ca8c9, 0xa5b5742e, 0xec8fa0a6, 0x1851644c, 0x2dc2a482, 0xcbb38910, 0xc489c467, 0x2551aadd,
+    0x6f80c167, 0x17396557, 0x3770bcc0, 0x8580e576, 0xecce775d, 0xf4dad4af, 0x3c39a089, 0x440d9197,
+    0xe9284c56, 0x27a5ad26, 0x48671a00, 0xc284ec91, 0xd4624b38, 0x89e23494, 0xea20b5bf, 0x8a50355f,
+    0x3eea215f, 0xba602e89, 0xb62d53d4, 0x0d751813, 0x4ec6272a, 0x908ba541, 0x89935345, 0xecc6e26d,
+    0x29b32d2b, 0x3155455e, 0x4c048eac, 0x9edec435, 0x3dd29828, 0xa1383b6a, 0x5dd9d407, 0x46177b97,
+    0x8f185855, 0xc09366ce, 0x02691fde, 0x686c89cf, 0xa65526b3, 0x2ccf37ce, 0x9aeda316, 0xa9476f0a,
+    0x10048344, 0x311f358c, 0x3c9ed708, 0x210e2533, 0x820b1710, 0x5fc2dd34, 0x1f40769f, 0xd0485971,
+    0xf162c1fb, 0x0fdf5a0d, 0xa9fcf162, 0xbedfb7b3, 0xe0a4f609, 0x21fa45c8, 0x91216b3c, 0x0ac3bb0e,
+    0x7be82512, 0x5c14aa50, 0x1155ac83, 0xceb5e492, 0xe7342fa7, 0x730db8c5, 0x9d9cfe42, 0x9a4c1501,
+    0xad4c108c, 0xa05c5f1a, 0xc6b6340e, 0xbb0bef50, 0x3d1c3826, 0xf3042724, 0x5ce3450a, 0x28e6b9be,
+    0x90778e31, 0x368ed180, 0x4cceee60, 0x3dc0c188, 0x851f4f90, 0x780ae238, 0x98576c94, 0x381a4795,
+    0xacb7a283, 0xfa0aae11, 0x2b06163f, 0xb6ed3651, 0xb8bcddd6, 0x8c1bd7ef, 0x03b4a939, 0x5bbed321,
+    0x504718be, 0x92d8ed90, 0x6e6ea0b6, 0xf41ff6c1, 0x522d7e90, 0x113e44ae, 0xb58ab4fb, 0xf12edebb,
+    0x1ed092f7, 0xc77cfeca, 0x540cafa9, 0xd65980c1, 0x7dc91d21, 0xcf2b1307, 0x562e0218, 0xd9aed057,
+    0xcd6cdac7, 0x6867b65c, 0xb9e495dd, 0x141c4242, 0x11329bfc, 0xa124c9eb, 0x29107c72, 0xc0413336,
+    0x9a996343, 0xa9415ae7, 0x5850f359, 0x0761553b, 0xe162f5f8, 0x6a7e1560, 0x1e864332, 0x42387e26,
+    0xe7090457, 0x53e4122b, 0x2be775c3, 0xf4b49007, 0xe4bdb8ed, 0xbc9d50a9, 0x0e2037cf, 0xc67a10fc,
+    0xe94a87ac, 0x7cb50ca7, 0x907f6ace, 0x0fee640c, 0xe28f050d, 0x555e4a23, 0x44c486f3, 0x8f3bc911,
+    0x3585ec8a, 0xf2893d99, 0x929cc348, 0xfad42cab, 0xce48ba76, 0xf12b5bfd, 0x800a7ffe, 0x398e30b5,
+    0xc8098391, 0xeb8f568e, 0xebec9056, 0xe5d786dd, 0xbf13c6d7, 0x38c11bbc, 0x7270ff79, 0xda1448b8,
+    0xd373e2f9, 0x78deef78, 0x63c73e2c, 0xdc0e1ca0, 0xfbf3dff6, 0xca7968da, 0xff035f3f, 0x4e724853,
+    0xa72d45c9, 0xbebc72a1, 0x7366ab43, 0x56c67845, 0x21f1cc3d, 0xd521ce07, 0x04cb1650, 0x30b59122,
+    0x59c36426, 0x23d35167, 0x02c21a45, 0x2f8a9b43, 0x3767ebe3, 0x3315abbe, 0xda3a5181, 0x7665114b,
+    0x61cfc0f3, 0x5ca6ee25, 0xf2965749, 0x60f4f5b4, 0x1eccc1eb, 0x1d8e839c, 0xc0fbca50, 0x84faa1e9,
+    0xdd1b5544, 0x4a51d447, 0x66671f97, 0x3d4d9f0f, 0xcd168624, 0xe6f78848, 0x1a084664, 0x0ef64d51,
+    0xd908e0c3, 0xaf56708a, 0xda527bb0, 0xeb154c89, 0x31819440, 0x0331ef00, 0x891e1e76, 0x2b7e2d98,
+    0x03755fd6, 0x512aa4a5, 0xb6bbeee9, 0x4ce03d31, 0xf12aa5a9, 0x266cb3f2, 0xbc3a94cc, 0x965da09f,
+    0x27b8404d, 0xe9ec1030, 0x07cd5e07, 0x396b2603, 0x91084104, 0x3cc9b3aa, 0xc78fdc88, 0x21ce73c8,
+    0x615c917b, 0x53e3454e, 0xd58e0164, 0x8df183a1, 0x71353287, 0xd1e1fe5c, 0x7ef7160f, 0xbd74cb88,
+    0x296eaa0b, 0x1fe83cee, 0x56e5822c, 0x65217156, 0x406f3af1, 0xf24e9fc6, 0x374205c5, 0x5001bc84,
+    0x78f006d2, 0x13e6b24a, 0x12001eef, 0x9f645fc3, 0xaacf12b4, 0x5cd912f2, 0xffd076b1, 0xd8fdb5fa,
+    0x4f8a3f5f, 0x0ddddde5, 0xc38afb58, 0x85e89acc, 0x87646767, 0xd9e421bd, 0x2f8ebcd2, 0xf60a0577,
+    0x313e4650, 0x7fbe16aa, 0x4d408241, 0x1b4d223f, 0x61364f97, 0x9e632b98, 0xc37d5b1b, 0x62d75952,
+    0x0817a5b6, 0xf2f721ba, 0xa0e6bd85, 0xa7699a4d, 0xc06256db, 0x024ed02c, 0x3ac254fb, 0x198fc77f,
+    0xdb71670d, 0x6a13ed7f, 0xd667507a, 0x247db6ef, 0x64a4e1b1, 0x4fdb0f60, 0x3bdbe893, 0xf73c8f30,
+    0x4b94edf3, 0x45be2178, 0xca86b9d7, 0x3ec17883, 0x5663a222, 0x43621134, 0x5012b6b2, 0x885c425b,
+    0xa78b6bfb, 0xacd7d21d, 0x6ef41f8b, 0x6330839a, 0x7849f34c, 0x757a3f6a, 0x06282170, 0xdd7a7371,
+    0x5837b01c, 0xf44bfe51, 0x2d9d362e, 0x83be337f, 0xb4f7ec90, 0xa9c6269d, 0xff19ffb6, 0x2a710cc0,
+    0x1d696fb0, 0x55440b7a, 0x1efc546b, 0x039c3e50, 0xa647d46e, 0x39ddf808, 0x0d1f7ffd, 0xb7ddd74d,
+    0xacd448ad, 0x2be416c8, 0xb43c9432, 0xe947560a, 0x6ba13f85, 0xaef29c15, 0xef59f38e, 0x8ac56cdc,
+    0x0063d7ab, 0x2003890a, 0xcb870248, 0x3ba0fee4, 0x9d6a926e, 0xe6713360, 0xa006551d, 0x382612f0,
+    0xb4dd10b7, 0x3751aa9f, 0xcd89edf6, 0x456df85e, 0xfc9494f1, 0x71025d47, 0xdf5d74ec, 0x448a7d97,
+    0x6a327894, 0xa735cd39, 0x644b9248, 0x03b12113, 0x38408cd3, 0x11994985, 0x81c59475, 0x2da96edc,
+    0x25b63343, 0xe2e8edc7, 0xcf0d0338, 0x22cb4a1d, 0x727bf22b, 0xc4d55ccf, 0x9cf0d80f, 0x8c4fb842,
+    0x5bd3b84e, 0x4639510a, 0x49c431fc, 0xf043f263, 0x8dc0d2d9, 0x7dbfc7c0, 0x934fbfe8, 0x840179d2,
+    0x471dc006, 0xa32cb0d5, 0x1274096e, 0xb26993a6, 0x1a008307, 0x02be1486, 0x59eeebda, 0xb10e6511,
+    0x88ab5254, 0x494914f1, 0xb08c9bba, 0xa9a2e16b, 0x402f0364, 0x1bb3e7ea, 0x0fabaf79, 0x1d6bc556,
+    0x6f6e5d5d, 0x78aff70e, 0x9c4eb50e, 0xc85928cf, 0x11ca6a62, 0x819242b2, 0x0918c99f, 0x8b69ffdb,
+    0x4c1045d3, 0x249489fb, 0x19ec0b08, 0xeb2f00e1, 0xa768f0a1, 0xf86dca2c, 0x5be0feae, 0xb58b256a,
+    0x1a6326d0, 0x334d9c49, 0x9f6fc027, 0x09514bea, 0x72cb1944, 0x4934651d, 0xc5c24fd2, 0x84b3704c,
+    0x172a9446, 0x558da44c, 0x5284042e, 0x53138368, 0x502ff604, 0x74ed1d0c, 0x0c11fd57, 0x20712124,
+    0xce84bd8e, 0x55e85e72, 0x674de576, 0x44b828f5, 0x280562ff, 0x27ad84e9, 0x34e1b10f, 0x091acd56,
+    0x4b891dad, 0xb97018ff, 0xf98f0686, 0x28e58b5e, 0x21dc8ae8, 0x39c3a2bb, 0x80101619, 0xc46d7495,
+    0x217bcc10, 0x8ebeaf4e, 0x0c9743a7, 0x25c9eea8, 0x3f2aefb4, 0xca9e1fc1, 0x730c1416, 0xf41814a4,
+    0xabf761bb, 0xe39fed64, 0x39f965de, 0xdfc427e1, 0x64be9273, 0xc592b6cf, 0x71c37e17, 0x2cd1bf4a,
+    0xe8dc3226, 0x8de36bb7, 0xd1a06737, 0xa10a507d, 0x48a5ad25, 0x933b06e4, 0x59f6bb93, 0xc90b250e,
+    0xe28366a0, 0x78b5a2a0, 0x7f4c287d, 0xb72adff9, 0xe720343e, 0xa9a61f1c, 0xa0f1f549, 0xaad73815,
+    0x9754ed4b, 0xb356dc33, 0x0ddbafa0, 0x76a3903e, 0xc4d2bfb2, 0x707c93ac, 0x5fe3198f, 0x827f3976,
+    0xd745fc3b, 0x1fe40fb6, 0xd31bce53, 0xb4160c9c, 0x940141b2, 0xd815af75, 0x95fb2b49, 0x15a023bb,
+    0x8da6d8d0, 0x7795eb1d, 0x15f148e1, 0x0d109523, 0x9b840189, 0x31a9ad93, 0xafb3a3e5, 0x243772d4,
+    0x0f17948c, 0x202772a1, 0x6703fdd8, 0x49296069, 0x024fe891, 0x74223af8, 0xfffe6d4f, 0x0034c3df,
+    0x135209e0, 0xc133ac71, 0x7aa8fbca, 0x0ddbce93, 0x98c2d80a, 0x1a9cf5a3, 0x80f2b911, 0x0d02b6f6,
+    0xd46a3f2a, 0x70ea60cd, 0x44a5850d, 0x7d0f68a8, 0xf914865a, 0xda8cc961, 0xb0c67d0f, 0x597065e5,
+    0xe00ded8f, 0x7e85ab4d, 0xdbc57605, 0x20b8d543, 0x871e3dbf, 0xca83ad7c, 0x927ddc46, 0x2e9a249c,
+    0x19b185eb, 0xc78352a7, 0x05cfad7c, 0x5f952059, 0xcabfcce5, 0x9127b753, 0x3d593c01, 0x65b29193,
+    0x37efcbd9, 0x2037d586, 0xc789d140, 0xf19a5f81, 0xeb65673c, 0xb6de1236, 0xc6648416, 0xb48012b2,
+    0x84bf3656, 0x9871901e, 0x23f4e149, 0x3080f70b, 0x30435614, 0x71e428f8, 0x6a1bae51, 0x76668c58,
+    0x041f5d28, 0x326ca4cd, 0x323f81ce, 0x127e0d36, 0x238ab1da, 0x8040f5de, 0x8d33b8f4, 0xd392a2c3,
+    0x7a994425, 0x27890659, 0x30f3c09f, 0x7b0f6c37, 0xa3e43044, 0x9b1a9592, 0x1270a393, 0x6334ac73,
+    0x69f9a3fa, 0xa4b46b28, 0x35aef2ba, 0xa2dd0dfd, 0xf272b59a, 0xaa5ed9a4, 0xf1bb1616, 0xb2791eeb,
+    0xc47b39b1, 0x60d920e7, 0x0b979d1f, 0xcdbd2e9e, 0x4afaa4a7, 0x0a27b369, 0xbac70a9c, 0xc938bd00,
+    0x9673aece, 0x577fd73a, 0xbf071a9f, 0x7358267b, 0xfa6a6be2, 0x4cece682, 0x26ae4fe7, 0x0ba15cd6,
+    0xb1f2dd0b, 0x29eea08b, 0xe7d4bc7f, 0x25e48a2b, 0xba373a30, 0x304353cc, 0x03a45127, 0x6dc8b93d,
+    0xcc23336b, 0xd2e2ab7a, 0xb8ac4a76, 0x2309ac5d, 0xf8a082e9, 0x3e6e1b3e, 0x0cd455c9, 0x9afee9c4,
+    0x526ee37d, 0x37a9bc59, 0xae73f58e, 0x51282378, 0x0f8f9719, 0x8489607f, 0x513b87e4, 0x83a59e9a,
+    0xdcf7582b, 0x00d90072, 0x4d8e51b1, 0x1db4beaa, 0x6ead87c2, 0x81bd9495, 0x31194aa3, 0x498d3b4d,
+    0xb3748322, 0x4df1a7d5, 0x378584b0, 0x275527dc, 0xefc656da, 0xa1a260c7, 0x90a459f0, 0x0f31d624,
+    0x290846c1, 0x020775d3, 0x2fcd4f91, 0xad4a07ef, 0x7f32ee43, 0xa20d4a34, 0xe7bbb11f, 0xb17dc789,
+    0x96ea5997, 0x188b8656, 0xbce85521, 0x5574f657, 0xd501213c, 0x6727bda7, 0x9b2039b9, 0x0dbc40f7,
+    0xac5e7f28, 0xdc24dba3, 0xbe396e9c, 0x6e471e55, 0x658bfc2f, 0x1bb5a79d, 0x176c1adf, 0xe51a892f,
+    0xfcd6d49f, 0x6849324f, 0x51faea28, 0x4f5f2981, 0x9281c730, 0xc900bebf, 0x2c537881, 0x4efaa817,
+    0x4d5bbb7f, 0xeca3c5c3, 0x528a7e53, 0x70f35b4b, 0x6890f901, 0x4fd77c57, 0x4c48f17c, 0x72ad65cb,
+    0x2e3b5a4d, 0x196b3860, 0x52c430a6, 0xc94a1796, 0x6d77d328, 0x5f7e784f, 0xb354b65b, 0xcba7ede9,
+    0x0b2faeb9, 0x45c4240a, 0x65e848a5, 0xf45fce61, 0xa84209cb, 0x043ebeba, 0x30d24d27, 0x2dbcb796,
+    0x58a36a65, 0xb19f41e7, 0xf6700edd, 0xaaeff315, 0x280fe3d3, 0xadf13cb9, 0xef1baa37, 0x08a5e351,
+    0x8a17514a, 0x8873ca33, 0xb4a5fa65, 0x35d6943a, 0xace6ba95, 0x2f9739e9, 0x5365f364, 0xc9b8da6f,
+    0x53926d54, 0x6dfb6f5f, 0xe99c8cdd, 0xb3a7eda1, 0xb08c3be1, 0xfcf81866, 0x82de3bef, 0x2999286d,
+    0x989b1504, 0xf9f3f7ac, 0xb065bf64, 0x53771b4a, 0x30efb80d, 0x60cbd560, 0xcd427ace, 0x4293d81b,
+    0x50381b1e, 0xd2f310ac, 0x9712e285, 0x8c03e666, 0xce05b8a7, 0x920f151f, 0x6a9f94aa, 0xeac8c4c5,
+    0x0f327c2d, 0xb47bc138, 0xc681ee51, 0x337a501e, 0xd7c02201, 0x666922e2, 0x867c1772, 0x5d3c5c1b,
+    0x6a55e3e1, 0x252594c4, 0x20ad0b6e, 0x1ebb0c7e, 0x47e8531b, 0xb273a061, 0xb001f3ab, 0x1fdd2236,
+    0xdf934751, 0x523d23d5, 0x94a7f4f7, 0x2ccb593f, 0x013bbcfc, 0x792bf6b0, 0xe6a6bef0, 0x365c5802,
+    0xeb8cc9ff, 0x9df65082, 0xe724367f, 0x72cfc476, 0x1559958b, 0x61c19bce, 0xdfa0eea9, 0x9a03a7a3,
+    0x0b8ac5c2, 0xbb8ba0b0, 0x73de3f59, 0x25c512e1, 0xdfcd3554, 0x7dc9872e, 0xf97449c5, 0x3bb7578c,
+    0xe4770690, 0x0de0e7a6, 0x2b87b9f1, 0x87ed688a, 0x1f0a4eb2, 0xb1852b00, 0xc7611a64, 0x8fa07665,
+    0xd38b88f5, 0x8a3aeb99, 0x468aec75, 0x672e65b0, 0x26f42ce0, 0x2544dd22, 0x9fac92d3, 0x5d9f08a7,
+    0x75135cc6, 0x10ea11db, 0x2f178566, 0x1144cb7a, 0xcfd9fb95, 0xb8f3f4c7, 0x44c81748, 0xddc29493,
+    0x46975fc4, 0x626a8d17, 0x265408d6, 0xbeddc6bd, 0x64394a0a, 0x430c3f5a, 0xd74a514e, 0x9ccaee3c,
+    0x16e7eba3, 0x5badeecc, 0xe72d160c, 0x1d2bea58, 0x6b323ff8, 0x061f63a1, 0x3001824a, 0xb9ce0abf,
+    0x6078ae1a, 0xeb478c45, 0x7a1f2274, 0xae573b8f, 0xbe579cfc, 0x9995d297, 0xc31d0ccf, 0xae18dd18,
+    0x864cba0c, 0x31229743, 0x00676d14, 0x0e64230d, 0xfaad0114, 0xd1dfdda0, 0x0b199f56, 0xadb4b483,
+    0x46f3d97c, 0x621f1247, 0xf104dee2, 0xb1a02448, 0x24e39ded, 0x611ecca5, 0x8783bfc9, 0x360eee87,
+    0xa89c3d34, 0xc815a211, 0x97b49346, 0xc5c34602, 0x109e08b2, 0x98c45cbc, 0xdd013cdd, 0x589d48fa,
+    0xddfc1632, 0x78b17fcd, 0xadbf214a, 0x8bad9aa6, 0xdae848a5, 0x7d2c3c0b, 0x20a9f88f, 0x065c0062,
+    0x69adef47, 0x06be0fa3, 0xc7aa2b3c, 0x84eff3cd, 0xc7d4c7ac, 0x7ed84c6d, 0xa1b7b3c9, 0x0f5a547a,
+    0x53d1fe2f, 0x568092a0, 0xeff688d2, 0x829366b2, 0xff0afd93, 0x37b9a3d1, 0x0355f539, 0x81ac704c,
+    0x00000000 }, /* 10**00523742497263382699202110351492415864354662727366890366317326618895381407424\
+                         74792878132321477214466514414186946040961136147476104734166288853256441430016 */
+  { 0x00000000,
+    0x41a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0b,
+    0x3a0cca1f, 0xbd3baa3e, 0x747c497d, 0x56c75a17, 0xac286bdc, 0x900acb94, 0xa99fe2c5, 0x9a9ec066,
+    0x00000000,
+    0x815e081e, 0x4dd28eab, 0x8d2e1a48, 0x95aecbfe, 0x7c236180, 0x85a7c2e5, 0xebf0eaec, 0xa092f411,
+    0x21987943, 0x54f81253, 0x3e221bb2, 0x478f6b85, 0x0500ecdb, 0x48b12132, 0xbc6370b3, 0xe380e75b,
+    0x5fd8da28, 0x306da8d5, 0x4987f740, 0x52bf561f, 0x036d9a3a, 0x3cd4f15e, 0xac2dffa7, 0x4e0c2c47,
+    0x7103402b, 0xb31375d1, 0xaea7fcdf, 0x8ba9c61d, 0x210f31fd, 0x02ff7f49, 0xc324ee1d, 0x4404f7c3,
+    0x0c352a0a, 0xd04d8ed0, 0x27677195, 0xed17c927, 0x6b2154b3, 0x9a56f67c, 0x65dee627, 0x5dc7a0ec,
+    0x10cf4eb0, 0x8a92fd2a, 0xec945452, 0x38465836, 0xb5204ab3, 0xfc8eb274, 0x7fe8f2f9, 0xdf6bfc96,
+    0x9fce7c24, 0x43433d0c, 0x7c8ce594, 0xe9fc3391, 0x2acb8d00, 0x06056e60, 0x8a1ed049, 0xf484c35b,
+    0x41aba123, 0xd53a1c2e, 0xca58928d, 0xb0302fec, 0x52d34786, 0xe3935c1d, 0x23ad7dc9, 0xe89d996b,
+    0xdbc6506d, 0x3b21f12a, 0x8d5ff45f, 0xb5b45123, 0x8a02fffc, 0x970fc461, 0x33bc65ec, 0x31d32b74,
+    0x9d90cd3b, 0x6ff9f53a, 0x0002c60f, 0x85e573a6, 0x330ee92e, 0x288be786, 0xc3c0a92b, 0x08ee9f07,
+    0x213f8347, 0xae06ed2e, 0x277ec1c5, 0x1ad21d44, 0xd14d2e5a, 0x570040fa, 0x83d945c9, 0x6fb74226,
+    0xe097d5bf, 0x0a81e853, 0x1b4565c2, 0x99813a87, 0xdf4ff4cf, 0x8c3127ac, 0xf9c95c7c, 0x66230478,
+    0x79b2b515, 0xc8f06fb6, 0xe49c1c9e, 0x06c34e7f, 0xcd80cbe6, 0x58adabc8, 0x3bdb7302, 0xec0e02a2,
+    0xd1e8e96d, 0x035c69ea, 0x3e8398a3, 0x8b820e4b, 0x9ced0470, 0x555d93a2, 0x8e2e90df, 0x6d9fbbe0,
+    0x41355397, 0x7cbdaab7, 0x1e387d19, 0x3e68ad1e, 0x134c3a7e, 0x36d69f4c, 0xddef0116, 0x236f894e,
+    0xd8b15389, 0x7c058e27, 0x65faca9a, 0x9a66a49f, 0xcdae4124, 0xbc7ed2b0, 0xfc7de637, 0xeed219bd,
+    0xc59eafb8, 0xb14ae828, 0x2623ecb5, 0x063a0969, 0x856d434a, 0x226ad082, 0x148949f4, 0x0944761a,
+    0xaefac62b, 0x43990b30, 0x859e7dab, 0x77ad9108, 0x803637e2, 0x9ed78132, 0x0723d2e4, 0x1a7161e4,
+    0xe5e17451, 0x6818cd5c, 0x952cbbc7, 0x4dfad47f, 0x0d797d0d, 0x2fd3b55d, 0x1b459d45, 0xa34f7053,
+    0x0d479163, 0x14fad504, 0xfa6098b7, 0x069c1210, 0x18894084, 0x71885b4a, 0xfac96044, 0xb036be2d,
+    0xfe050dbd, 0x3bf4b213, 0xf109dc82, 0x5791cbc2, 0xcb35731e, 0xcc6a225e, 0xbafbb585, 0xa656e765,
+    0x4c8cac3d, 0xbe9dacac, 0x18f8afcb, 0x23e00953, 0x0333aba1, 0x78cb2079, 0x1dff57a0, 0x3724593d,
+    0x77188984, 0x588e8f26, 0xa5301cf8, 0x454d409d, 0xaadcfe64, 0xc41388af, 0x62e8156b, 0x98bd32be,
+    0x0059f7d5, 0x3ca486b1, 0xacbb0fe4, 0x056a7bf8, 0x044ffab6, 0xd7f83947, 0xf940e5bf, 0x6bc17996,
+    0x7ffff1ff, 0x051e2e1c, 0x6435e958, 0x1b8a8b8e, 0xdc1998a7, 0x5ec87480, 0x1a5c361c, 0x28127d99,
+    0xff399cbc, 0x7b6b21ad, 0xb47555ef, 0xda5dd607, 0x81bfabae, 0x8f871578, 0xa8eb9363, 0x5825b7c1,
+    0x3d00c86e, 0x877cd38c, 0xc8ca4e05, 0xf1f60979, 0x2451caa9, 0x37d22185, 0xc47aa672, 0x16359a8d,
+    0x25e0e536, 0xfd115d56, 0xb9c3d220, 0x18812cc5, 0x1b7c8df5, 0xabfb1628, 0x417d05f0, 0x811d5361,
+    0x55fde067, 0x7148d886, 0x01f55e7d, 0x2defe538, 0xe42abafb, 0xc7772c72, 0x149e2a24, 0x8a697247,
+    0x8c0ce90d, 0xa7fbdce5, 0x5fc5bfeb, 0xe248878a, 0x71bede2c, 0x813d0eac, 0xa21d4717, 0x4dd14678,
+    0x50567351, 0x5232136e, 0xc3b93111, 0xeceb143c, 0x192cc827, 0xb40afd64, 0x0b05162d, 0x7dd398a8,
+    0xc2ef5bda, 0x5918159c, 0x0c2476fa, 0x14c6df28, 0x6a1ce2f1, 0x0c748700, 0x2a3a296b, 0x1e331c0d,
+    0x7c2d0f69, 0xffc0f5c8, 0xe6182fc0, 0xbd3efc4f, 0x0bc5847a, 0x66138411, 0xf0cea494, 0x20e99ad1,
+    0x47df0e39, 0x5037bf5a, 0x5ca0f9c8, 0x7e414623, 0x31c877ee, 0x1f1ab8ca, 0xca6cc63e, 0x87eaad44,
+    0xf0602e1d, 0x15faa87b, 0x80a0032e, 0x72475f8e, 0x4e597317, 0xc445a822, 0x1f03de43, 0xdac8105a,
+    0x8a8e0d01, 0xdd00fd7f, 0xdfdcdb98, 0xd172c2dc, 0x425a5ea3, 0x49ae9026, 0xd22bd22c, 0xe23f8135,
+    0xac4d689a, 0x59e429d7, 0x61932313, 0x0d892be0, 0x48ee5c77, 0x67a9ef6e, 0x3274e5a1, 0x59068500,
+    0xbbd3b4aa, 0xf6c9865b, 0xa24d648c, 0xd6f7e539, 0x75e65154, 0x0af308fa, 0x3b95f609, 0x065eed89,
+    0x5115e694, 0x994950c0, 0x27496eea, 0xb5c5159c, 0x74f40488, 0x75616003, 0x2f68a6ab, 0xb957466a,
+    0xea1e5e11, 0xdba03279, 0x95e20508, 0x2cb3c30e, 0xd05bdae8, 0x3d215c2c, 0xaf275a41, 0xffc0d34d,
+    0x50f3471e, 0x04ec05cc, 0x988e4b72, 0xe086fe0d, 0x510f1025, 0x249d2f36, 0x0671ba15, 0x3bc9d334,
+    0x3c1364ba, 0x57a57949, 0xc6208422, 0xc089c0c2, 0x674ad853, 0x6d9d7fd3, 0x5e6d636b, 0x6ec260c9,
+    0x455a33b4, 0xa583a161, 0xd9fd2f2b, 0x261fc61e, 0x2cd7e4ec, 0x131af4f4, 0x5faf8136, 0xac9d4125,
+    0x17f68920, 0xe30a4104, 0xf2b376b6, 0x8691e396, 0x5d74d35a, 0x2a0eb08c, 0x66e531f0, 0x661f2e1c,
+    0x2a9a7e51, 0x208f7690, 0xb14652c2, 0x3d0057a5, 0x32521187, 0x822bf818, 0xa5a157c0, 0x67bad723,
+    0xac7da0c2, 0x417935d2, 0xf8fadf5c, 0x13b26505, 0x63cd571d, 0xeb0d2006, 0x5eb70ebd, 0x8753a444,
+    0x8f0b859e, 0x5f90db5b, 0x5490e3e3, 0x30a77bea, 0xf3727d29, 0xe5ab1b66, 0x64be9cf0, 0xb53e7bb1,
+    0xba5b3abb, 0x73db0130, 0x75ab3e47, 0xa9824130, 0xc366f6ad, 0x1331bcac, 0x3405d7b2, 0x3dfcb221,
+    0x8921ef24, 0xaebcf511, 0xe4bd0856, 0x7b4487ca, 0x83db4eaa, 0x74eae047, 0xe4bd4b04, 0x206e7de2,
+    0xd439282b, 0x7e43c4dd, 0x17b64704, 0xb37571cd, 0xfe6bf1bf, 0x1fee73c7, 0x4d3176d8, 0x24149a90,
+    0x7f012855, 0xaf66ab53, 0x7bf9b53a, 0xcb4a24de, 0x0e013a9d, 0x305e7256, 0x1c0b6488, 0x885312d5,
+    0xcc643e34, 0x2daf9c20, 0x55e6ab3a, 0x9a994bc4, 0x1ee301d4, 0x79c7ba06, 0x5abea56f, 0xcae665b1,
+    0x2a53eeda, 0x275b1b0e, 0x9421fd0e, 0xf4746e0e, 0x02e29cdc, 0xa47a5b77, 0x606de036, 0xd581741c,
+    0x61e1eaad, 0xfd2523ae, 0x1689eb69, 0x6c3f5873, 0x5b527e53, 0xe5a55494, 0x36c6a9c3, 0x5a7b9d78,
+    0x249fd4d9, 0x27234626, 0x5ae95aad, 0xe80f699c, 0x1bf40027, 0xd92a14b2, 0x6322ffe0, 0xae88d102,
+    0xcff1cafd, 0x997a36f5, 0xcdbbd811, 0xb522cfe6, 0xd37ed6c4, 0x404155b3, 0x3f84b74b, 0xfa55cfc3,
+    0x2e514aa6, 0x6a509663, 0x37c18020, 0x30ecc12a, 0x3167720e, 0x8c46eb8d, 0xdc99fe28, 0x8000d583,
+    0x62340fd0, 0x62b5f7b1, 0x85bdbbb6, 0xee8c2b00, 0x44756bbd, 0xfd2b10a2, 0xc8e83859, 0x9a0a527e,
+    0xc00de525, 0x4c0b5a77, 0x3244882d, 0xccffcf84, 0xf5a76e49, 0x9caf194f, 0xcca855db, 0xf3853f52,
+    0xa88b13bb, 0x1a4f238d, 0x1e9260a0, 0x0525e68d, 0x95dc9c01, 0x8875186f, 0x2483b871, 0x2f68d498,
+    0x71f03053, 0x08c70d9a, 0xd3d9db35, 0x25dc5200, 0x40e0241d, 0xd27e853b, 0x9b28fe32, 0xdec3c0a1,
+    0x99f04ae0, 0x82675d74, 0xbb01d725, 0x7050556b, 0xa207f1af, 0xb9d09e34, 0x9f156fb0, 0x647b2eb4,
+    0x10bed7dc, 0xeb22d90b, 0xd851520a, 0xd0b6a5ab, 0x9b116585, 0x29653dd1, 0x36e4327f, 0xed6cde06,
+    0x5b336359, 0xed5296db, 0x9867a14c, 0xddd38d23, 0xdbd9b721, 0x8c7e9759, 0xa3452bfe, 0x1145b7df,
+    0x104df666, 0xc93325a1, 0x8d402f76, 0x0ed00f19, 0x1b24a7c3, 0xb36f181a, 0xab25c694, 0xa152b1b9,
+    0x6cd44c3a, 0xd0cb8866, 0x615d8750, 0x9b216dd4, 0x5cde3ac1, 0xda0ef5b9, 0x80bed2ab, 0x856a74f4,
+    0xb0671a25, 0x878cd57c, 0x864bd72d, 0xbeb8b328, 0x05796192, 0xcc573790, 0x260c3e9b, 0xf3f9c51c,
+    0xab799f87, 0x3a83f582, 0x2de60087, 0xa8a7e6b7, 0x14f1a617, 0xd13d9da8, 0xd8590ce7, 0xfb7f1a68,
+    0xa65c553f, 0x205b184c, 0x98631d42, 0xf22ab3d8, 0xc9cc7bf7, 0x02b3d153, 0xb040c8d8, 0xcc59c96f,
+    0xd5f29c1a, 0x90752370, 0xf18811e7, 0xf8eb7fe7, 0xfb4b1458, 0xd944e1b4, 0xd86c2d6b, 0x30b8ca88,
+    0x0ca0ca7c, 0x65abdae3, 0x7fd08de1, 0x902facb2, 0xd5d703aa, 0x4d75cf35, 0x5058841c, 0x6e8cec84,
+    0xabd7e49a, 0x0d89adf3, 0x03074ecb, 0x0d6099bb, 0xd9f2b7e6, 0x1d808e7d, 0x2ad8adde, 0xcbd208c4,
+    0x7461e7c0, 0xeebcb4cf, 0x2288ba6a, 0x83474057, 0xffb1e519, 0x992f3bf2, 0xa8899775, 0x3268eac9,
+    0xb613a8b7, 0x8cc7fa39, 0xa236f232, 0xb5046259, 0x66a7b8e6, 0x1eeaef8b, 0x1428d1d3, 0x9fc6b03d,
+    0x4ee248d6, 0xcd158b36, 0x0c46a0c4, 0x6bc98b45, 0xfdd82d5e, 0xea6ac7ea, 0x3accf397, 0x9f218b53,
+    0x328bf185, 0xb0a62af1, 0xfa14d179, 0x9b9bd700, 0x8675f7cc, 0x6ef86a2d, 0x2afbfeb4, 0xe6605a30,
+    0x99642c80, 0xec7339f8, 0xbbc17969, 0xd07987be, 0xc8371e5c, 0xe3d9a957, 0x037b1d26, 0x53b81bc0,
+    0x02b12570, 0x41f8aba4, 0x1ff8ff43, 0xd220c0e1, 0xe9d1a4ab, 0xa9f04f5b, 0x0aca4464, 0x105ac196,
+    0x2358b561, 0x277b4886, 0xd9978d0b, 0x6fedbeda, 0x0d631b2d, 0x04c72e2c, 0x781aff44, 0x11f0fd9d,
+    0x5bd47024, 0xd5255f00, 0xf823e493, 0x44aca4ba, 0xd5e2e81b, 0xeb8729a8, 0x0f85d267, 0x9832f839,
+    0xfe7c6a4a, 0x7b988504, 0xc61a9323, 0x0b328c5b, 0x7a5b6c55, 0xf71c5437, 0x9cec7456, 0x18fcb138,
+    0xeb898e6a, 0xd6aba270, 0x02c7566e, 0x83dc943d, 0x72f27694, 0x29486c05, 0x960949e6, 0xb1ed8a8f,
+    0x74f3d209, 0xfedc9cfd, 0x445dbb42, 0x5f91eb15, 0xad71ee83, 0xcbbdc29d, 0x3bea5cf8, 0x9fc88072,
+    0xc67927a8, 0xe536b734, 0x30342cf6, 0x37652d92, 0x5deb7e94, 0xafb21739, 0x6791cb30, 0x198c822a,
+    0x210d11ad, 0xa0a1ba94, 0x05e3f8cf, 0xe8412ed7, 0x630727ea, 0xadc3445e, 0xb2037609, 0xae15e7d8,
+    0xe4e30ec3, 0x8f243830, 0xeefdd8cc, 0xbda308eb, 0x89436de6, 0x55085ab0, 0x1e497d05, 0x07b46881,
+    0x8167072e, 0x9a6e4065, 0x598f5850, 0x84ad6ad9, 0x8582bc17, 0x20ace1ab, 0x5e17da2a, 0xc4babb8b,
+    0xcb971e60, 0xa133ef59, 0xc238d2d9, 0x5fbec3e4, 0x1e1765cc, 0x21bbd61f, 0x8519bdfc, 0xa23eda0c,
+    0xe5ffa0fb, 0xfc604c56, 0x8b2b1987, 0xea046048, 0xf6604910, 0xafda5f71, 0xe42d5ef2, 0xb5942213,
+    0x4943376a, 0x69282b82, 0x0bee875c, 0x1d26e69b, 0x018df8c2, 0x52a26128, 0x6a32e996, 0xc011ebf2,
+    0x9c9fc234, 0x6de3c1a4, 0xc502a817, 0x2e5862e0, 0xcdc3fa55, 0xa46cce05, 0xbc8a4cae, 0xd3eab68e,
+    0xfa70272a, 0x50741dd1, 0x66436583, 0x0a53f303, 0x5b8cf29b, 0x6b3160ea, 0xef8f9833, 0xb6926f2a,
+    0x46517c99, 0x97e4b5cc, 0x6bfdd40a, 0x1c1d9910, 0xfa36342d, 0xe9ff8344, 0xc3667199, 0xde0d02a2,
+    0x1429481a, 0xb819184c, 0xff40f006, 0xbab44827, 0xca66aea8, 0xa9d6879d, 0x5d5e7714, 0xe60570ba,
+    0x2577559e, 0xd909d867, 0x15221b68, 0xbdd7549e, 0x559b5970, 0x64ba32ed, 0xb3abdd70, 0x15fe614b,
+    0xd5ae1bd0, 0x48ca6603, 0x6edf9a4e, 0x154cbd4b, 0xbcb073ab, 0x6a1e6730, 0x96a730ce, 0x78f80b54,
+    0x440a0a5c, 0x09a67494, 0x07d7b50f, 0xddd0258d, 0x65b4d0ac, 0xa6a224b7, 0x59d671fb, 0x73d9956e,
+    0x9b7e5e28, 0x914a7adc, 0x0cde01a3, 0x665ad99a, 0x40b9f3fd, 0xd96cb814, 0xa994a80e, 0x312e0268,
+    0x9a4defc1, 0xef124e4a, 0x9a22b182, 0xd04601e6, 0x4895554c, 0x594d4ee8, 0x653849a4, 0xff808823,
+    0x96ac6efb, 0x597d705f, 0x5b84f114, 0xc19bdc96, 0x5fcad5e8, 0x860677f2, 0x7c2c9718, 0x7c69345d,
+    0x95ef8f84, 0x3a08ef39, 0x9d3c4612, 0x80204e7b, 0xc959444e, 0x33bcc876, 0x6d5f7c68, 0xc2a5315d,
+    0x7592cac2, 0x6c6eb11e, 0xd50a0945, 0x8573ce0f, 0x14ab0f20, 0x7e16731b, 0x66ac1392, 0xc7bec9e7,
+    0x31c93ede, 0x787556f6, 0x1db84eeb, 0x97553522, 0x5b63ed79, 0x5b5a9dcd, 0x6bfdaf0c, 0xbc02e746,
+    0x69776912, 0xae2b0d3f, 0xd1427160, 0x7dee50b6, 0x672932fc, 0x33bb1e43, 0xb4ce9362, 0x12d1f5e5,
+    0x3c6925bc, 0x911caaa8, 0x8ade63b2, 0x35ef5a5b, 0x902d6bee, 0x5e65c247, 0xfdecfcd8, 0xc0cc7dd0,
+    0xb5913b12, 0xcbf311a1, 0x8fd11da4, 0xb557cfbe, 0xb41980b0, 0x0ce337e1, 0x2753d61b, 0x266dc066,
+    0x49cb39a9, 0x2f05afa3, 0x7c7e6588, 0x652699f0, 0x28afc016, 0xa1a4fdee, 0x03a0d965, 0xd623427f,
+    0xa8929dd2, 0x748f6b90, 0x790493fa, 0x7da88fce, 0xc489a817, 0x9d660542, 0x70698893, 0x41e53c26,
+    0x4c12f801, 0x3e543002, 0xc047e279, 0xe3555793, 0x7592144c, 0x511d9bb5, 0x834f5a40, 0xd3d0a238,
+    0xa123fb84, 0x08501e73, 0x9890f56f, 0xcddbc3fd, 0x79f004b5, 0xec09d5eb, 0xbc7686da, 0xed6eaa70,
+    0x9f694729, 0x3739177d, 0x9fec3e32, 0xcb2dfd8e, 0xcccd22af, 0xddc6e837, 0x2ff2b9cb, 0xe88332f7,
+    0x1b0ac96c, 0x3d6856f2, 0x282cc8b7, 0x3f7800f3, 0x651cd8b0, 0x9b60af4a, 0xe90fd584, 0x091f5b8e,
+    0x6a48eb10, 0x8bd4eceb, 0x1b632cfd, 0x11604c8e, 0xa6c51e3e, 0x07f70fbf, 0x6c3023b7, 0x92aa4086,
+    0xe8b2a280, 0xaaf279be, 0x74fbddea, 0x71125384, 0x25c2c8d5, 0x432a0e49, 0x11af981e, 0x5e7a339d,
+    0xdf01f36a, 0x430756e9, 0x4202826b, 0xf42cefba, 0x38470c39, 0x0c3207bc, 0x7cf41042, 0x9af7d03e,
+    0xb83abdae, 0xbb7e9dae, 0xeff3e637, 0xef37a47b, 0x8d02e46b, 0x523d71d0, 0xff2e259c, 0x08f1835f,
+    0x5926a04f, 0xfe2a943c, 0xe2f98e5c, 0x2de8690b, 0x0710d998, 0xfb32bc4a, 0xd17f0da2, 0xe34c0a43,
+    0xc2d6ad65, 0xc4e06d76, 0x40330947, 0xc58507c3, 0xe5360893, 0x780d4c80, 0x8e619f01, 0x23de0ae7,
+    0xb9e2e52e, 0xd11d2eec, 0xfc9ea8eb, 0xcf7737dc, 0xf6f1990a, 0x2b49689e, 0x77355632, 0x1d595aeb,
+    0x594b1a01, 0xe296b588, 0xadaa5bbf, 0x3bfd7b49, 0x1edf1e9f, 0x6ff966b0, 0xd100b0e0, 0x663e6b92,
+    0xdf24cd0a, 0x443df78b, 0xd02ad632, 0xb0c6ba0c, 0x9a2b0546, 0xdf70ed7d, 0xde6a1f30, 0xca6c6793,
+    0x4c7cebf0, 0xb70ef406, 0x2e682731, 0x97a79726, 0x0e21e1c4, 0xb96d516e, 0xe6c0e935, 0x3979266a,
+    0xcc3cdc8f, 0xae8f164f, 0xad5eba39, 0x4579c999, 0x1e89912b, 0xe3788232, 0x62257b27, 0xf5a9cd8e,
+    0xaa2efcbf, 0xf305e4fe, 0x874142a5, 0xdb591eeb, 0x5f8c857e, 0x7f91f87d, 0xa6997cbd, 0x7161be26,
+    0xc9b54eec, 0x06990130, 0x50846204, 0xc39882ef, 0xd7e04c6c, 0x0807ccd3, 0xc2c8ad07, 0xa2e0ac3e,
+    0x353039f1, 0xed2051ad, 0x0c829008, 0x85e10b20, 0xaa308081, 0x3d78696d, 0x2833d32e, 0x77c24ad7,
+    0x00000000 }, /* 10**00261871248631691349601055175746207932177331363683445183158663309447690703712\
+                         37396439066160738607233257207093473020480568073738052367083144426628220715008 */
+  { 0x00000000,
+    0x40d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e785,
+    0x9d06650f, 0xde9dd51f, 0x3a3e24be, 0xab63ad0b, 0xd61435ee, 0x480565ca, 0x54cff162, 0xcd4f6032,
+    0x00000000,
+    0xb5fbcd65, 0xc1681411, 0xe92394cd, 0x74821d1f, 0x21285353, 0x6abd541f, 0x7087bd6d, 0xd44a5241,
+    0xda614a92, 0xf5278afb, 0x99aae044, 0xa76e4c2f, 0x7501ae71, 0x5a170319, 0x0a494a5d, 0xdb91fe0f,
+    0xf7133ae8, 0xceaa09b2, 0x81c39283, 0xa06e9d7e, 0xd3df42b9, 0x087ef8ca, 0xa3868781, 0x9732b79c,
+    0x538a4faf, 0xbecd2805, 0x20faa2a6, 0x12e6f916, 0x64f25810, 0x20e791e2, 0x41674773, 0x1d6d8d91,
+    0xa8b28f21, 0xc1a59a9d, 0x593fb770, 0xd8468a11, 0xbc004518, 0xe2b3c86c, 0x7a6ba577, 0xe74d9b70,
+    0x4f68317b, 0xbf2ef5c1, 0xb568397e, 0x778233d9, 0x67386198, 0x89b7d95d, 0xb6837e06, 0x0aa90789,
+    0x253c1cbb, 0x0fbc717f, 0xc3b9bb30, 0x1a0609bb, 0xc7988a80, 0xfafd7491, 0x2a217141, 0x2e9772c2,
+    0xbb7ce38c, 0x54b9c485, 0xda820ecf, 0x79f23c0c, 0x2daa1e28, 0xca02572b, 0x22d4df5a, 0x4c73e692,
+    0xe28a865f, 0x5d6e5127, 0xf4c132f4, 0x93270139, 0x2c1ece08, 0x0339862e, 0x6dc73f09, 0x990b3b67,
+    0x2fc65bc8, 0x1b2b4980, 0xe3e20b16, 0xd217c508, 0xebbc4922, 0x49af35bc, 0x40f620cd, 0x534ebe73,
+    0x42e0c901, 0x2c082552, 0xdc0d265d, 0x055bea6b, 0x9e516df7, 0xc1a56c1a, 0x363186cb, 0x9d716fc1,
+    0x401379bb, 0xa3a75870, 0x40dd48eb, 0x454fff52, 0xc3917ebd, 0x27cfd13c, 0x6d21ad50, 0x2dc76a75,
+    0x8cd77e17, 0x908918c8, 0x81f226ba, 0xd3cb4417, 0xb4ec6387, 0x508ef8d3, 0x6ce6e532, 0x04799044,
+    0xca65e4a6, 0x65cf4464, 0xff4bd4ce, 0xc42b5061, 0x35cd82d9, 0xbf963654, 0xe84630d1, 0x4e74d95f,
+    0x1a7b3236, 0xb1c54adf, 0x2d468976, 0xd585d58a, 0x6aa0488e, 0x00439943, 0x0bc90d5e, 0xfcd50825,
+    0x7f8cf944, 0x2cf962af, 0xf43c3148, 0xaa5c14f7, 0x195cc5d0, 0x02bfd7fe, 0x2631c7af, 0x81c365df,
+    0xf02898d1, 0x4f389d16, 0xf175fe0f, 0x737dd494, 0xdc4b1f29, 0x1a95c709, 0x8f63a313, 0xd8fc2c77,
+    0xdbc3ce83, 0x3321dd3e, 0xbb63206c, 0x33ec1701, 0x2b3aa0c0, 0x7fb741f7, 0x16fb38ec, 0x6db64cc1,
+    0x22267d69, 0x3f538b51, 0x95775f91, 0x19761085, 0x15726314, 0x07f104ad, 0x50699722, 0x39ef592f,
+    0xcd73f497, 0x6a261ee0, 0x7ec4c64b, 0x37d47eae, 0x88e19d89, 0x4fda0c13, 0x842b59ee, 0x9c413955,
+    0xdcd888be, 0xbd36eeab, 0x2884dde1, 0x4053b9a0, 0xcb9aa9c1, 0xf911f9df, 0x0eadc073, 0x2b60b428,
+    0x2a409d5a, 0x5b70c81d, 0xd11ca4e8, 0xa6343d22, 0x56796003, 0x3ecb6723, 0x3d5d1048, 0x2a48eee4,
+    0x6b2dc295, 0x139fc456, 0xff329c3a, 0xace45c5a, 0x8ecc99bc, 0x15e3dc10, 0xe8ed43b0, 0xdcade5ca,
+    0xaa92d3d6, 0xab786238, 0xdb1a8ba7, 0x864033a0, 0xd5ac3e4f, 0x63f7928a, 0x5463ebea, 0xc5de53aa,
+    0x9e14683e, 0xaff78076, 0x49b4b593, 0x0a968160, 0x81e28971, 0xaefdee2c, 0x5f772b79, 0x09272ae4,
+    0x6b316b83, 0x6b6fea10, 0x4dd12367, 0x52212289, 0xf41ce8bd, 0x19bd8964, 0xee55d723, 0x1d1486a8,
+    0x97b889e4, 0x5bc4e94f, 0x4e5829b4, 0xb88ca864, 0x59c5e49d, 0x8766914e, 0xe96c6dc6, 0x284a6665,
+    0xe3315272, 0x1804720a, 0x5e50cb10, 0x40444adf, 0x4aec96ff, 0x7df8ca13, 0xe59228e5, 0x0be1431b,
+    0xcd0c1169, 0x6e5b9d57, 0xf5a504c8, 0x0f8877e3, 0x9e89af00, 0x5a186db7, 0xa543c7d9, 0x00870ffb,
+    0xcc76716e, 0x62d2faa2, 0x8f072e3c, 0x1b0429fe, 0x32f6477f, 0x85bfd57a, 0x3adc712d, 0x93dedf08,
+    0x003d18f4, 0x2783a8bc, 0x18fb4580, 0x2a696b4b, 0x88a8a452, 0xa49976c5, 0x3e7979b6, 0x8d034e13,
+    0xce203711, 0x57f4e27e, 0x89cce4f8, 0xc879eaf8, 0xc053d43a, 0x1f612848, 0xaa088f4a, 0x867b0444,
+    0x8bf78580, 0x1812c951, 0xef3a4ebf, 0x3f2b5d73, 0xdb46ca87, 0xca070c28, 0x01d3e123, 0xb6770dfb,
+    0xe84ce29f, 0x68fc25b4, 0x4864eff1, 0x7b8093c1, 0x42dc1a16, 0xab1f29d0, 0xaa6bbdad, 0xc15e82e7,
+    0x50fc671a, 0x37bb4789, 0xdb9337e5, 0x77853bdc, 0x88fb8c2b, 0x5b5d7fc6, 0xa4e4fa26, 0x5bdc5c28,
+    0x3c0e1ef0, 0x33e47224, 0x4a901d82, 0x1c58c6db, 0x7c5ebe27, 0x985ca845, 0xec71658b, 0xc4c87adc,
+    0x7e6bc55b, 0x0bed3e8e, 0x566ec5b4, 0x1887248e, 0xa8d137ed, 0x13147c7f, 0xcadf84f2, 0x80bb18be,
+    0x0ce1cc6b, 0xdf9dda15, 0x4151bf04, 0x73917a88, 0x1ea37197, 0x3a8a2c3f, 0x0c3501c1, 0xa9b6c72a,
+    0x7791b377, 0xab32b15f, 0xa699402c, 0x6cb52b58, 0x8f136eef, 0xb690d45e, 0x6f74fe61, 0xdf30b51b,
+    0x2ac2faaf, 0x35add4e4, 0x63d673bc, 0x25cf67a9, 0x4a94b45d, 0x2808d908, 0xac3e3f6f, 0x501653af,
+    0xd8fbc7df, 0x8e2ab65a, 0xe4b37927, 0x639a9a5e, 0xee0e7348, 0xdca7aa0c, 0xa130d76b, 0xb5092cff,
+    0xb944ca3e, 0x4ca37837, 0x4674176a, 0x67e0cccf, 0x20677051, 0xe9f6448d, 0x19d89e42, 0xe51812ab,
+    0xc6ab61fc, 0x29a29de8, 0x312b6722, 0x57724efd, 0x95a0dc58, 0x17a1837a, 0xfed67853, 0x8662807b,
+    0x5d8cb1be, 0x077a3583, 0xa1200e0c, 0xed063387, 0xacc34814, 0xfa5c997a, 0xf633b662, 0x72a5516b,
+    0xe823a974, 0xa36de8ac, 0x39f0b9eb, 0x46c58457, 0xad522f09, 0xfd26eb00, 0xaaaaba5c, 0x6665ef3d,
+    0x93b29a84, 0x521fffa1, 0x52b14564, 0x9628057d, 0xc1cab26f, 0xf7acd365, 0x43ba712e, 0x59fdcf43,
+    0xf8618155, 0x6c0939ee, 0xe46e8bdb, 0xb0d72b9f, 0xa81b16b5, 0x5f9b7a66, 0xa34839ec, 0xfd9bb557,
+    0x1a7df5e6, 0xaf6febbc, 0xa0cc19b5, 0xd066474e, 0x051e687d, 0xc9817881, 0xaf47b7c1, 0xeff0cc5a,
+    0x49b3e377, 0x064dd8fe, 0xa70da5b0, 0x66721243, 0x8608ee5a, 0xbe8dcf40, 0x9fc4e50b, 0xe9b9aea4,
+    0x6c4b82fc, 0xfb12b58a, 0x9038e6ae, 0x7c434d30, 0x170095bb, 0xe393b6fb, 0xb48cba18, 0x6080fc48,
+    0x8bc82eb3, 0xfd2608e4, 0xe2269c0f, 0x3d54c817, 0xe32f2030, 0x57630a8e, 0x59ab2a5b, 0xa87a782a,
+    0x917dc22c, 0xfe59150b, 0x7997c3f1, 0xdc796f14, 0x3c92dff8, 0xf3110324, 0x835ac582, 0x306748ff,
+    0x8fac8306, 0x90d6a3e6, 0x90c4ea79, 0x1eaeaba0, 0x64f291ae, 0xd99d256f, 0xbeb37666, 0xb30d5f61,
+    0x256fa7ce, 0x50f0c4b5, 0x6bb8c266, 0xe916a357, 0x3f50108e, 0x3291c7b5, 0x185240a6, 0x8ededf27,
+    0xc76dacdc, 0x4403acdb, 0xee5bb05b, 0x501fc43a, 0xab33042b, 0x2c46aa86, 0x110ee019, 0xe10814f7,
+    0x604ae211, 0xcd2806e4, 0xf55e0e82, 0xcca8d1e6, 0x0dc56eeb, 0x1a8cf4cb, 0x775530f5, 0x5f02d0a5,
+    0x5ac0d3cf, 0x00c59bc9, 0x2dc6e513, 0x622395c6, 0xb53bd30d, 0x6b0af752, 0x4da1e479, 0x1ac4d7f9,
+    0x7a0a3659, 0x79eec240, 0x127dbe4a, 0x977228b6, 0x0fdaa8f6, 0xcb289c8d, 0xafcd347b, 0x52f9c20a,
+    0xbc096295, 0x20b801ff, 0x9b95e756, 0xc9efdd01, 0xec0dfd3b, 0xc0bac631, 0x7a06c86c, 0x2a1a10bd,
+    0x4555b99c, 0x08c9edf3, 0xd7aa5ee1, 0xed2dffcc, 0xf7fb6b23, 0x525c8e1e, 0x9f62b0a9, 0x65356148,
+    0x58bd15ae, 0xb60b1632, 0x93243ed0, 0xc406555b, 0xb8e3a813, 0x49600809, 0x17e305f1, 0x36906d9b,
+    0xa25846d6, 0x138ef569, 0xac3c542f, 0xb956be27, 0xd4306f8c, 0xdbb76bbb, 0x67c0c9a1, 0xa79a062d,
+    0x46817f6d, 0x815f0caf, 0x0aeb4f0d, 0xd0ae2a61, 0x2eae6bb5, 0x5fe8a986, 0x7ce7f35d, 0x80fdfb52,
+    0x5056aa14, 0xc699f97c, 0xb603764e, 0x9f12e95d, 0x8028f154, 0x789df8d2, 0xd1036eed, 0xa0e6609d,
+    0xbd987b75, 0x8b16ffb3, 0x79e899da, 0x6047b66d, 0x4dbfc05e, 0x31dec99d, 0x68c6492c, 0x6c15eaaa,
+    0xdd28de14, 0x593685b6, 0x6c4ce60c, 0x96e93595, 0xe35ac9cc, 0x581d02e4, 0xe34cbd1f, 0x4163562b,
+    0x4be5a3de, 0xa72b8d53, 0x97df8627, 0x548fd3b3, 0x21af6d6d, 0x37cdf0dd, 0x08c1d665, 0xff7be732,
+    0x7cb7471b, 0x13fa7a08, 0xbb9887c5, 0x83a9b04d, 0xbb45550a, 0x3dd11ba9, 0x11656f01, 0xcc44476e,
+    0x243e1bb6, 0xea26d438, 0x44a44705, 0x0acb3251, 0x5e280206, 0x5c6cba00, 0xcedd862c, 0x5f31e762,
+    0x7f1f6660, 0x64bf7053, 0x81ea35ba, 0x2cd25b74, 0x6c7f1ce8, 0x79a9519d, 0x855d8f30, 0x0e5d9b55,
+    0xeac8a684, 0xbf07a168, 0x94238706, 0x2a67b328, 0x74833072, 0xbfb70ea0, 0xc9f513c7, 0xee3ecf1d,
+    0x87ad92ed, 0x8426dd4d, 0xbbba0ea7, 0xb9b4ee8d, 0xaa65a505, 0xa46026e9, 0x8269c989, 0x6664047e,
+    0x4744e608, 0x8582e82f, 0x32f69040, 0x399a909c, 0x71bd6f90, 0xafc09d63, 0x949ed788, 0x44bbc5de,
+    0x04b2af6d, 0xc170bc3e, 0x6025d200, 0xe6e7c963, 0x98babb78, 0xd0a4e58d, 0x512f6e51, 0x8a142dd3,
+    0xe00b2e41, 0x0fe95216, 0xca9d3e43, 0xa0592c77, 0x0ee7ace4, 0xee515813, 0x608a997e, 0xceb57b5a,
+    0xacd325ee, 0xc832fdb6, 0x6550edd3, 0x339a6200, 0xeaf35590, 0xb0cb0a33, 0x83b86ee7, 0x767da374,
+    0xa81bb523, 0x29b5f634, 0x82134aed, 0x625750fb, 0xb56de94c, 0xca6f1df7, 0x9d8aa374, 0xe427d945,
+    0x252e1929, 0xa61c6962, 0xc9ab8c2e, 0xe930f0f4, 0x03dfc3fe, 0xdfef80da, 0xf252621b, 0xfb3037fd,
+    0x257701dc, 0x87b061ba, 0x52c5016a, 0x9d819e34, 0xe26adcf5, 0x5241944f, 0xd2235d19, 0x3396be4d,
+    0xbe948bfa, 0x8fc24023, 0xe05b4a72, 0x104df149, 0xeae7071a, 0xaad2799d, 0xf6e4b972, 0x8ea12e4a,
+    0xdd66b281, 0x3bf92a1f, 0x6b84c11a, 0x7e45c0aa, 0x84db862c, 0xa37d983d, 0x7994566b, 0x4e8e7d65,
+    0x9e8aa571, 0x77b6b2a0, 0x902596e5, 0x39c920fd, 0x9e31d1bf, 0xd1205c7a, 0xef6295ab, 0x4418f4fe,
+    0x8454b6b0, 0x91ebc44a, 0xf0b9b8df, 0xc46bc378, 0xc6b2963c, 0x8b6c9ad4, 0x5e8a6c8b, 0x660c3579,
+    0x259da744, 0x86075335, 0x050fbda4, 0xb4684dfc, 0x930f1169, 0x3fb7ba04, 0x71708a0d, 0x6e6c42ad,
+    0x6d002c4d, 0x2e23e790, 0x4738bc16, 0xb5e0c9da, 0x0ae6ca54, 0x2d27c772, 0xae616875, 0x342f24be,
+    0x8d9eea11, 0x624859c4, 0x9693e997, 0xc58c190a, 0x94237d80, 0xf16aa300, 0x6edf2473, 0x3a385f0a,
+    0xf997d70f, 0x1d567bb9, 0x74bc9b2f, 0xd4068617, 0x9eb17298, 0x793c819b, 0x46ba765e, 0x3e7022fd,
+    0xb7771ee9, 0x8230676b, 0x826c6f4a, 0x763f62c0, 0x882143d0, 0x1dd477fb, 0x428c924c, 0x7f589589,
+    0x520d360b, 0x074ca2a7, 0x2af3679a, 0x475b4bfb, 0x3da94fe1, 0xdb040666, 0x7b663a1f, 0x55e2f49b,
+    0xf509f52c, 0xeb80d968, 0xbc97c634, 0xfc27a22e, 0x5c836ea1, 0xa44124e8, 0x1e1d049d, 0xb575e18d,
+    0xc05b69ab, 0x9b6cbfba, 0x1f2c9a5b, 0xecb952b6, 0x47eeacbe, 0x7bee2da6, 0x4b6658f0, 0xba34897d,
+    0x17fd7822, 0x2daca9bd, 0x93d5844a, 0x1f50fa65, 0x4e8aa734, 0xdd3906cc, 0x7d7d13f4, 0x077fd526,
+    0xb6848c27, 0x34a9ca4d, 0x6cdf6983, 0x8dc099dd, 0x70d78910, 0x7beef0cd, 0xd14529c7, 0xac502758,
+    0x249a2926, 0xf00f8636, 0xf0537a89, 0x98f2ac39, 0xdcafb3af, 0xd22ddfc0, 0xf4d43ff8, 0x84f3e2e2,
+    0x3be3d0e9, 0x5b026cd8, 0x1751523f, 0x64ab2fe6, 0xba4abcaa, 0x06849815, 0xaa448467, 0xaac4d2f6,
+    0x6db5b176, 0x4d855195, 0xd3be3d23, 0xc4144f39, 0x06c64eeb, 0x3fd7ee46, 0x09515a49, 0x361ae6e5,
+    0x4b20e181, 0x98eb259d, 0xff21a98c, 0xb162d77b, 0x779fc9db, 0xcf289c5d, 0x1fe82e44, 0xdd9b3e43,
+    0x6ccb9f40, 0xe3dff76f, 0x53baf18f, 0xa600b8a4, 0xae964b66, 0xff4b8117, 0x1dfe6bc0, 0xb488f21d,
+    0x395fad7b, 0x88de4fc0, 0xf4fb26b6, 0x59fb791c, 0x173f1217, 0xbbca62a4, 0x24dc46ff, 0xe83bab61,
+    0x1c4684f4, 0x1213047b, 0x9d404179, 0xddbeefb4, 0x5b8603df, 0x3b53fa91, 0x70a7a065, 0x9035f8c2,
+    0x49217b48, 0xca6753f2, 0xb67eae94, 0x194dcde5, 0xe80600f4, 0x825794a3, 0xe79b3634, 0x9bb94310,
+    0x939ee538, 0xd9b09802, 0xcb0aea2b, 0x9f4db45f, 0xd76206d5, 0x92ea869b, 0x08b45f52, 0xd950aea2,
+    0x2ef1c590, 0x9beff5a2, 0x8467958b, 0xfd941621, 0x3b644803, 0x6b05d5ec, 0xb1a5677f, 0x5b636ce1,
+    0xebd0b178, 0xf8f5e56d, 0xd5e89cf9, 0xca633c46, 0x87aad887, 0xed1a93ff, 0x6fcd1f92, 0xeacf0e01,
+    0xf30e2054, 0x66e7d69f, 0x390b91c7, 0x04bc8100, 0xcecbbcf4, 0x2ed0aa66, 0xdcb7c329, 0x548ed5af,
+    0xd7319be7, 0x4b5800dc, 0x8b8acfad, 0x5f403fc4, 0x097e9c00, 0x24cdc237, 0x7b41865e, 0x885977a2,
+    0xbba87c12, 0x8ca8197f, 0x6feaf634, 0xaea32874, 0x8b221a45, 0xa80f02c4, 0xfb838865, 0x290f1637,
+    0x610038b4, 0xd600e0ce, 0x25bc108b, 0xb31f5485, 0x7f59d704, 0x6a466d6b, 0xb5f966cb, 0x1cec5a25,
+    0x8805994f, 0x22459be9, 0xa3f0ebee, 0x6aa07c46, 0xf39fe551, 0x4613505c, 0x9a6a11e7, 0x414a92b2,
+    0x229ee172, 0x53664f03, 0xa72d6001, 0x782e7fdd, 0x769335d3, 0x1def887a, 0x7a3def4b, 0x51778cc6,
+    0xc76c7507, 0xd273f8dd, 0x15210e20, 0xd5ec31a6, 0xed4e1766, 0xe3372d62, 0xa7dbb6be, 0x5f325bd8,
+    0xc0667131, 0xaaab2fdc, 0x5ef47e7d, 0x3ae04ba5, 0xa3edeea5, 0xe4aba6f9, 0xe491e263, 0x5018d967,
+    0xaba768cb, 0x85548c65, 0xbd1ad5c4, 0x71723a67, 0xfb436370, 0x063f42e1, 0x90e237de, 0x7702e373,
+    0xd1b7728d, 0x143048e0, 0x44b5e237, 0x97a6f2f9, 0xc5db39ac, 0x0c63be1e, 0xfe88edb9, 0x46ee6305,
+    0x01d1aa44, 0x99ddfb6e, 0x08676ccd, 0x54407c9c, 0x949bf0f0, 0x01b400ae, 0x156b2280, 0x68b9e498,
+    0x38300485, 0x32881a40, 0x27369386, 0x10833f08, 0xdea4ff72, 0xfbbb380e, 0x06065a65, 0xf3e4419e,
+    0x4a110c10, 0x6c492c1e, 0xab6ba4cb, 0x2ae19e2f, 0x3dc13c1e, 0x4704fb5b, 0xfaf11d15, 0x1bf83686,
+    0xf10a2faa, 0x0d30a4e6, 0x91ef9857, 0x15f6ccf2, 0xd354f327, 0xac5c1da2, 0x38003f01, 0xa92664a3,
+    0x8816baae, 0x0f0c548f, 0xe9cfd25f, 0x212540b0, 0xa35db7da, 0x587371a7, 0x15f558c7, 0x3aeb0a12,
+    0x890657df, 0x77f350f1, 0xdbb1f84a, 0xaf3b436a, 0x2c00128a, 0x172eaf78, 0x9d3485c6, 0x66cef014,
+    0xdd812eab, 0xf0852932, 0xd9050dfa, 0x844c7568, 0xe2c8ad6c, 0xf37d1fc0, 0x7c7069cf, 0x4812ef42,
+    0x8d1c02bb, 0x27e96947, 0x9c792ca9, 0x74f8c635, 0x94a5c78e, 0x3c15ebde, 0x06791b14, 0x6f75d1c4,
+    0x03ccc0b1, 0xc36dc51c, 0x3b3f26da, 0xe10e3aff, 0x6fd4d17e, 0x5dffa891, 0x8cd5b998, 0x7d940ce0,
+    0xd2308605, 0xdf30f9d7, 0x15941c60, 0x7482753a, 0x56d69c44, 0x6e848bff, 0x3863cd38, 0x21cc3a78,
+    0xe9e749ee, 0x22b83739, 0xeb3e7be9, 0xc212a846, 0xe09db1f0, 0x41a59f33, 0xc1c6da40, 0x0e0f366a,
+    0xbf5b52e0, 0xddf53e35, 0x83c83164, 0x28a68564, 0x146133aa, 0x182a3871, 0xd007b0f6, 0x1f1e59be,
+    0x00000000 }, /* 10**00130935624315845674800527587873103966088665681841722591579331654723845351856\
+                         18698219533080369303616628603546736510240284036869026183541572213314110357504 */
+  { 0x00000000,
+    0x406a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c2,
+    0xce833287, 0xef4eea8f, 0x9d1f125f, 0x55b1d685, 0xeb0a1af7, 0x2402b2e5, 0x2a67f8b1, 0x66a7b018,
+    0x00000000,
+    0xd7d79260, 0xc787f9bf, 0x24bd3c3c, 0xeed5179b, 0x6ce9fc40, 0x9fdb61d6, 0x050b0738, 0xd39e57ab,
+    0xf9b22e7a, 0x2204eafd, 0x784c2d63, 0xaec2a2e1, 0x9a0883c9, 0xa4983163, 0x2d873281, 0xe09c650f,
+    0x11f9e52a, 0x3c5026a3, 0xef040bb3, 0x76bc2077, 0x9abd9cfe, 0x74e91280, 0xcdfba969, 0x68a55a4f,
+    0x48ea8269, 0xf5f33db6, 0x1fb98e13, 0x2f0a37c1, 0x99f06f9e, 0x57b6f265, 0xa0e1e8d4, 0x20886ab0,
+    0xd7853fbd, 0x2623e1de, 0xfd9709df, 0xb5d17e7c, 0x3bf88295, 0xa5d669c7, 0x0eec9c06, 0x9cc1d053,
+    0x011c426d, 0x582b68d0, 0x21d1ce84, 0x74afd424, 0xf12f37b4, 0xd8fa3cc0, 0x9d8ef3a2, 0x60d89e14,
+    0x80f88e8b, 0x5c337177, 0xcfccdbf5, 0xc2bf9a78, 0x7c425e9f, 0x516f201a, 0xb67a103c, 0x17992eb7,
+    0xa49d7e99, 0x78e310ee, 0x6d7c1951, 0xa55db427, 0xb4f0e46c, 0x8217e65a, 0x9813d4a6, 0xa9b3bfb1,
+    0xe8d1da76, 0xe1dd4849, 0xd52811ed, 0xfc87e084, 0x92616ab9, 0xa0ccb5fb, 0xbc6de954, 0x14884ad1,
+    0xd1301859, 0x162bcdcb, 0x52dd010d, 0x81cbce59, 0xf12313a4, 0xc6f268f1, 0xf6252961, 0x8c8117bd,
+    0xd2c48588, 0x00497186, 0xad25bf16, 0x914059a1, 0xc20d721b, 0x38d1be91, 0x92d58d57, 0x36467d34,
+    0x8db05404, 0xd1181b6c, 0xb72df727, 0x62304e81, 0x918f1f5f, 0x166f6499, 0x2d6ea5e7, 0x11c370d0,
+    0x9d88f7e7, 0x24bb8676, 0x0ece7fdb, 0x073e0cfb, 0xdaa41ff1, 0x54f78bb7, 0x0f9b43c9, 0x81fe0d4c,
+    0xf9766e02, 0x18653eda, 0x42c1baa4, 0x92c7e473, 0x6ab6aa10, 0x5b4c819c, 0x882e2658, 0xa857c7ce,
+    0x426228e8, 0x3a865c9b, 0x17bcd654, 0x68e33052, 0x22b93682, 0xb9f6612a, 0x4bc0bb13, 0x2ab79864,
+    0x0de9780b, 0x10a825c7, 0xcc09200d, 0x3131c0bc, 0x807be7c1, 0x1a8f6cf5, 0x341b3218, 0x7a6c95cd,
+    0x5b95a785, 0xa3e889f0, 0xc09eff9b, 0xdbe9c3ba, 0x54f502a8, 0x5632bd47, 0x6cf8d7af, 0xece8fbdf,
+    0xe585f6f8, 0x262e90ac, 0x7f48dffc, 0x5fc445ae, 0x65522ffd, 0x02022c06, 0x856292db, 0xbcf6171f,
+    0xdbf604e1, 0x6d1e5d16, 0xba5a892d, 0x8fc26a92, 0xa3ebc6ac, 0xfb4d4b27, 0xb3b268b7, 0xd2f5695b,
+    0xf64595be, 0xb25678e4, 0xda51ec55, 0xd09d43c1, 0x19d7604e, 0xff62d490, 0xd3209316, 0xf39dd66d,
+    0xecdc057c, 0xe0f17e71, 0x4edf0d4f, 0x2703fd77, 0x16d0de34, 0x2fbc5809, 0xe4337a67, 0xdca70682,
+    0x676828ca, 0x2512be58, 0x9b4ae170, 0x0fbd474a, 0x433d8c30, 0x3f04ca57, 0x8e1d22e9, 0xec8f5c74,
+    0x563b2253, 0x81c6f02e, 0x0721a7be, 0x0328bb5e, 0x2db3844f, 0x0405f502, 0x0c961e06, 0xc9b25623,
+    0xeb76e22e, 0x8e248fb6, 0x617f7ee3, 0x25e8795b, 0x26722081, 0xd77d3a23, 0x0ce207a8, 0x49be1f59,
+    0xf3e46a6f, 0xc2700002, 0x9c9d2a03, 0x4890bd95, 0x91db9ab1, 0x70c7816e, 0x83abaacd, 0x401fc6f2,
+    0x0d094dbe, 0x18851402, 0x944588e2, 0x6bfb346c, 0x9157ac6c, 0x7f738406, 0xd9d50373, 0xd428d1be,
+    0x3a4e8c0b, 0x9261183e, 0x4a240cad, 0x64a81944, 0xd77d1b53, 0xf899a014, 0x0c4e5083, 0xd60cf64c,
+    0x948d9afa, 0x07208b8d, 0xc27a03e6, 0xa1c25d30, 0x9c7f3fbe, 0x37a6245d, 0x56c16cd4, 0x15ce98df,
+    0x150cc34b, 0x4ec5724a, 0x6ab27e2b, 0x916a3d41, 0xe7bf87b5, 0xd31dad55, 0xb874fc21, 0x7f614993,
+    0xa36aa877, 0x6a90ca77, 0xc971ddc1, 0xfdfad28d, 0x6db33230, 0xaf88d22c, 0x3011bd01, 0x848df507,
+    0x0442ecef, 0x8b637b45, 0xc250dc05, 0x4adb8829, 0x871fd11c, 0xc52fa011, 0x0e0ee346, 0x79ea7f79,
+    0xa5498c51, 0x307678e9, 0x4d07b64b, 0x7372587d, 0x4b22228f, 0xcc02d1a1, 0x277fe1b3, 0xf91648c4,
+    0xf41e454c, 0x46b4d28c, 0x56d6b96b, 0xefe7e16f, 0x761d8896, 0xa795ed48, 0xa0f8560b, 0x6f6f4dc1,
+    0x193ac33d, 0x98db3df1, 0x44d73899, 0xd2b68155, 0x432875f8, 0xa00ec203, 0x5d632831, 0xd385fbc6,
+    0x14409c69, 0x69f51585, 0x47756f9e, 0x2f10e9a3, 0x9bd5753b, 0xf8c1a88f, 0x47cf554d, 0x7b1e36e6,
+    0x300bde63, 0x818e0ced, 0xe5379f1e, 0x0f8e419a, 0xc4be67e7, 0x3ae81b76, 0x9e188223, 0x33d12b9c,
+    0x57a9ff17, 0xd6797613, 0x6beaaf3d, 0x7df553e8, 0xe0507eaa, 0xe3b93846, 0x5bfcfd4e, 0xddf0c7ec,
+    0xc09e0f6c, 0x89a0458c, 0x80317b38, 0x70c99108, 0x0b089448, 0x7649b9c1, 0x5358f789, 0xad497960,
+    0xf4de9da7, 0x0f2ae2ca, 0x32aa1ea8, 0x4bc28c34, 0x670a8d2a, 0xd1f653b5, 0xf1190a35, 0x174168f5,
+    0x37519562, 0xf6750775, 0xd6f18904, 0x9290eab9, 0xce786f6c, 0xe1dee379, 0x8be5c37a, 0xe03698de,
+    0x50d880cd, 0x85e95a15, 0x1848865d, 0x4147cfb4, 0x63e40c11, 0x79876330, 0x286414bb, 0xc065645b,
+    0x51b8c08d, 0xddbc69ef, 0x63955d91, 0xd0791c2c, 0xa8ff81cd, 0x5343f0ed, 0xb4bde77c, 0xe5263f24,
+    0xda5e8c78, 0x4ef2a44a, 0xf472d9d9, 0x67917c87, 0x53c863ab, 0x6118f31c, 0x8f746e8e, 0x40c12a91,
+    0x3a592f2f, 0x85fec2f2, 0x5d9fd638, 0xc4b4e903, 0xda7ff9d1, 0xb75de6c1, 0x8c992611, 0x2995fc9d,
+    0x0b6081e6, 0x6794c0e7, 0x3fbf0d25, 0xc468bd35, 0xf791ceec, 0x10e0f577, 0x442c41d7, 0x7957fa04,
+    0xf5f89e2b, 0x183b3d10, 0xe4950995, 0xcfde4120, 0x0344a869, 0x29fdccb6, 0xe90c8f87, 0x493c1cd4,
+    0x9d96daca, 0x97246c4a, 0x58cbbd3c, 0x78f589c8, 0x9aae97b4, 0x4018c854, 0x42cebcbe, 0x47d47976,
+    0x9c7875d9, 0x62074bc6, 0x83ed5124, 0x79086c40, 0x98a39a81, 0xa3cc1ad8, 0x82cb2bfa, 0x5774fc68,
+    0x15dd6ccc, 0x76e8e184, 0x1f1ae520, 0x972b51d1, 0xa6afc7c0, 0x84f3a9ba, 0x1e7ac35d, 0x6aca37c4,
+    0x207838a7, 0x25db7dbb, 0x00b04ac8, 0xd73e7585, 0xa640a9bb, 0xcf354c8f, 0x2ed90c6e, 0x2bea350c,
+    0x2160eb49, 0xd5940993, 0x09df9359, 0x62e2cd06, 0xd1e1dc9d, 0x004d5fdd, 0xf8e976bf, 0x7eef92f0,
+    0x79d9b6ed, 0x1fbd61dd, 0x8e9d9945, 0x885ea67b, 0x62d5ce72, 0x61be3403, 0x106636ef, 0xa3d61a55,
+    0xf9e82809, 0xa7b5676e, 0xb9c214a9, 0xa1f566c0, 0xa5d9bf2c, 0xd19b5eaf, 0x31ff8013, 0xca3bada6,
+    0x90156c3e, 0x990505d2, 0x066c18f7, 0xc81dc21d, 0xabb2f8f3, 0xffea0e0e, 0x0669ea7a, 0x7bea9b3f,
+    0x6cc3e784, 0xdb657831, 0x1f91c7d1, 0x320f238d, 0xc4f69d0c, 0x905b7c78, 0x1cf30548, 0xc9781b5b,
+    0xb13a12e3, 0x3ad02784, 0xf00829b6, 0x742502b1, 0x66afccea, 0x9601f39f, 0x9d03ad3d, 0xc3796a91,
+    0x10890ef2, 0xb00c059a, 0xb2131e78, 0x28979661, 0x96a4cd8b, 0x1acc1eb4, 0x5da80c4e, 0xc060a673,
+    0x40dec84d, 0xc8c63955, 0x40e3e82b, 0xf1e1ff2d, 0x95a8cbad, 0xbb601be7, 0xb68f6097, 0x83dad29e,
+    0x3947ce3e, 0x97b9f19a, 0xe6489f65, 0xb35fa9ad, 0x995798f3, 0x7c57af2b, 0x14f7fa8b, 0x74e36553,
+    0x5d7358f1, 0xd7bea92b, 0xb5f43a9d, 0x58055bbf, 0x0b1126bb, 0x7cc56e5c, 0xbb97667c, 0x9ac31474,
+    0x7e9c8d34, 0x8cc30621, 0x7786b932, 0xda7fac36, 0xf3679fbd, 0x95090966, 0x52af228e, 0x27ce45f3,
+    0x53df6101, 0xc21c4205, 0xa4acbee0, 0x2e1e56df, 0x6348e93a, 0x510da52a, 0xa73c8542, 0xa4f1b6b1,
+    0x9aef2951, 0x2b914336, 0x89ec6657, 0xd97b6a74, 0xba06cad4, 0x877753cf, 0xe882d3fc, 0x175f589d,
+    0xd7ae4729, 0xf084c913, 0x4c9de575, 0x3fb5d5a1, 0x4fadeac6, 0xfe7b5b81, 0x003f44c2, 0xab4f49a0,
+    0x5aaccd87, 0x5833cfc5, 0xb23d79f5, 0x4f3035b7, 0x3299a34b, 0xd35e43b2, 0x21a33325, 0x1cbe21da,
+    0x39363242, 0x3d15c9a4, 0x6f6b80dd, 0x81f80364, 0x94455058, 0xc37e2b28, 0xd834b04d, 0x44f1917c,
+    0x3f4cf36c, 0x9b633bd2, 0x2c8632ae, 0x603ca8df, 0x917d05de, 0x449dab04, 0x288743dd, 0x9a021e57,
+    0xa7847ffa, 0xbdeadabc, 0x5f8587bc, 0x8fb04eea, 0xf0228897, 0x3c967c83, 0x32955e33, 0x48b2b92d,
+    0x73f9c944, 0x7e41a378, 0x1f6effdc, 0xff896083, 0x4eb57134, 0x227bb680, 0x3c756314, 0xc3ade0d5,
+    0x4e629ffe, 0x6ec5fd1f, 0xe579cf94, 0x8b5765d2, 0x61d9f80a, 0xe0b0cfcf, 0xbdabd436, 0x8cc1479d,
+    0x1b2fa294, 0x6784a581, 0x67e344d1, 0x9c8d9748, 0x6c7f6d51, 0x7e3aa5f0, 0x67cf7509, 0x24843e49,
+    0x322f9764, 0xd879e6ba, 0xf6a7a5b5, 0x7db0d05a, 0x6be69334, 0x4c51eb66, 0xda2df4a9, 0x6e54d9dc,
+    0xef83ecb4, 0xc5fb8250, 0xb62c411b, 0x6aa62a14, 0x51cfcd3c, 0xf2a82cff, 0x5f1feb29, 0x74c59e70,
+    0x4e0d6c8d, 0xf0537e36, 0x9ce09451, 0x2d48ca84, 0x59066217, 0x32180145, 0x48ef364d, 0xebbc5f3f,
+    0x93b7ba8e, 0xdefc9d65, 0x63fc9ab9, 0xea3a641e, 0xd54fb7f9, 0x8faeed45, 0x9281d7d2, 0x9b7e25c8,
+    0x65359f86, 0x02b2e185, 0x7018374b, 0x26a96a54, 0xa9f99222, 0x8badced6, 0xbda902c1, 0x1eb5fb62,
+    0x5e176e80, 0x75671ebf, 0x74ab8164, 0x1da910ba, 0xf13bda69, 0x5a0094ad, 0xa3b4bbfb, 0xf1ec1845,
+    0xa0e05cb8, 0x4d458267, 0x8b2399b7, 0xe28022e8, 0x76a4e221, 0x1ae68656, 0x07a3078e, 0xcb3b69cd,
+    0x990ae2de, 0x7c34d15a, 0x8e01ed08, 0x16750034, 0x87e70c95, 0xe99b82ab, 0xa7698b2e, 0x05b756b9,
+    0xff5fd8b1, 0xf2b16b8f, 0x4ac3a539, 0xb41dbffc, 0x20d0236c, 0x51791077, 0xd9cd3648, 0x231651c3,
+    0xb7bb15aa, 0x19da1cfd, 0xce172b48, 0x43d3c356, 0x7a94910a, 0x3c85e8a9, 0x49c96e84, 0x16f06bdb,
+    0x21b2f13f, 0x50753a37, 0x5b57300f, 0x7674779c, 0x3971939d, 0x81e9af9e, 0x38a2221d, 0x2cc5b11d,
+    0xa5088416, 0x80f3bc95, 0xbfc20579, 0x9df4eed6, 0xed596150, 0x7bb531c4, 0x224ecc3e, 0x784a27b8,
+    0x6be2fb9f, 0xa63290a2, 0x2bc601c7, 0x92c2847b, 0xe710673a, 0xc1566019, 0x93d20988, 0x099544f2,
+    0x5b2c49d9, 0xd0ad2f04, 0x51442614, 0x0fa3f55c, 0x9160b6e6, 0x27643e4b, 0xacc31285, 0xea62adf9,
+    0x16ece97d, 0xf3155e5d, 0xd8cabdc3, 0x8a3dac9f, 0x0d6f6424, 0x9ebe11cb, 0x40e2d4e6, 0x5ac0fc73,
+    0x1f24bfe9, 0x387e6d6b, 0x71a404ea, 0x3c84336a, 0x6242c67a, 0x7fa4d1fc, 0xde9775c5, 0xce9a1669,
+    0x7eee1165, 0xbfdd782f, 0x554e6bc3, 0x027885d5, 0xd8aca974, 0x1df14201, 0xf0ad5116, 0x45d4dcbb,
+    0x1b01cf09, 0xe0bc78e4, 0x67dacc5f, 0x53ed4a97, 0x85364fd6, 0xab5e483c, 0xd50e320f, 0xde79dae6,
+    0x7dfe0d34, 0xb64d6f5a, 0x258812ff, 0x57a216a9, 0x15513e76, 0xd50b593e, 0xbebeeff1, 0x463277cf,
+    0x9745eeca, 0x48bdd18a, 0xf3708e58, 0xe74f325a, 0x3b0b0e0d, 0x8cd9954b, 0xe8d763b2, 0x3c6f366a,
+    0x7362eaaa, 0x2f496c35, 0x127c2a23, 0x4fabc433, 0x99776f8e, 0x45254273, 0x322269d6, 0x627365fb,
+    0x0e94b395, 0xe9023971, 0xec1bd22b, 0x4ce438a2, 0x450a96e1, 0x617b43ec, 0x3b904884, 0x53e543f5,
+    0xead8d854, 0xed927ca0, 0x34f9b3f1, 0x2eebe60e, 0x66c9c156, 0xa5e8395b, 0x92d20135, 0x23c3e919,
+    0x24affc39, 0xea69e494, 0xf2390943, 0x5e16b548, 0x19be46b2, 0x7f9dbe8b, 0xa4f17d88, 0xeeaf68c9,
+    0x1f1a8e89, 0xa448ef87, 0xdee7e657, 0x3b72e609, 0x3c9944e2, 0x6337899c, 0x83767e85, 0x00eee005,
+    0x5ed9cab7, 0xc7af20c6, 0x43c7fa6e, 0xc59039d9, 0xba54caa7, 0x929252ce, 0x741b24ca, 0x7e52e743,
+    0x1b41d9ba, 0x839e60bb, 0xf5fd061b, 0x610344c6, 0x85bfee1c, 0xb3edd302, 0xbb9a8646, 0xb4453882,
+    0xfb957166, 0xbd62d08f, 0x34e8ce25, 0x5dc23021, 0xda7246e2, 0xfcdaff04, 0xa583be29, 0xc6a9a2d9,
+    0x8bcf577c, 0x44b79db3, 0x3d693e00, 0x17a43aa2, 0x5d513932, 0x3455b585, 0xf8412ae1, 0x16b50d32,
+    0x362da4cf, 0x71807518, 0x0f7f6735, 0x71fd946f, 0x80b2c7ae, 0xf056c6b3, 0x55b9fee6, 0x8bd06dc8,
+    0x2a1578fc, 0xa67af3e5, 0x718411fb, 0x1f7cf56d, 0x3a67a33f, 0x2ed638d2, 0x58f0a47a, 0xb8436a6f,
+    0x2fc972fa, 0xbcc1ce1b, 0x86f6031e, 0xdd76e54c, 0xdd4f0936, 0x1185f0bf, 0xea09e839, 0x3b62b5c7,
+    0x814aa8d4, 0x41442307, 0x3c8a59da, 0xcadbb260, 0x2c5f446f, 0xfd07dacc, 0x62f9b6de, 0xdfda87d1,
+    0xf456c795, 0xcec7c2e5, 0xe7ea02a7, 0x3401abec, 0x509a693c, 0x49410c9d, 0x3cfd55f2, 0x38ddde9f,
+    0x9520ad38, 0x9bf4d6a5, 0x60a12710, 0xb0073728, 0x5669a484, 0x37eb5b8c, 0xcd662568, 0xbb95e8ca,
+    0xb0a61ddb, 0x820652cd, 0x4eef3db5, 0x51762228, 0x82d5c9c8, 0xaea90a56, 0x4d77ebf4, 0x792a3dc3,
+    0xa1f1a95a, 0x4eb8945a, 0xa1887000, 0xe64e662a, 0xd6f205ea, 0x44a72303, 0x356264e0, 0x9ed4aa9b,
+    0x413c88e4, 0xb9c7354b, 0x75db5fd8, 0x86530215, 0x2909cf8b, 0x4a5689ca, 0x0954d402, 0x954bb33e,
+    0x0d31102e, 0xefd5eeca, 0x66bd64d7, 0xf1ca0e9a, 0x686cdd06, 0xd13ad47e, 0x0e91a807, 0x7929d9e0,
+    0x057fb618, 0xb3ae9562, 0x812fa471, 0xd24c7f91, 0x397a7bce, 0xc925d603, 0xf54c1552, 0xe7858d11,
+    0x642d6b2f, 0x901c204e, 0xba12cf31, 0xb405f55b, 0x588a99b3, 0x7987c5c6, 0xae8fa7ba, 0xb4726992,
+    0x8212faa9, 0x98e45cf5, 0x0e0fb896, 0x0fe07b7d, 0x2c971f8f, 0x6d2ba515, 0x8c1087e2, 0x9e7fe5d5,
+    0x781f567a, 0x99b9cf32, 0x48211b81, 0xa4e824b1, 0xd74ae54a, 0xeb43aaaf, 0xe1c9fb19, 0x533e0471,
+    0xd67bf220, 0xbc96fb08, 0xef0ad24d, 0xc8ef42c5, 0xb25c9652, 0x4892da71, 0x8a125c4d, 0x1d8fcc78,
+    0x061d1b55, 0xa57d3f8b, 0x1ae75090, 0x0c7f47f2, 0x33cf0a17, 0x231c3007, 0xf2165268, 0x571a9856,
+    0x509fa80e, 0x445d1fcd, 0xd80a9fe1, 0xec88f2d2, 0xfba3d37c, 0xf174a66a, 0x932ba779, 0x2a19f22e,
+    0x87315284, 0xee60bf92, 0xe29f4579, 0xf7405dec, 0x72478813, 0x033ba335, 0xd821f6de, 0x17ac6e39,
+    0x16049269, 0x979e21d9, 0x338fe275, 0xda4244b8, 0x13c5af82, 0x0dcb1144, 0x17cfd41e, 0x573b41e3,
+    0xd87009b1, 0x1f23f740, 0x3ce974f3, 0xe013967e, 0x70941d34, 0xd8df0471, 0xf2166ced, 0x7d1709ad,
+    0x6af89908, 0x061e29e8, 0x99f0ce00, 0xa218234b, 0xf8679616, 0x989d7ac7, 0xa9cf6b0c, 0x2bc4ab71,
+    0xfb509719, 0xa822b93a, 0xfdc2cf45, 0x1ce06e4e, 0x362dd9e5, 0xa619d64c, 0x0c24cc81, 0xef5a9717,
+    0x9fc0eba3, 0xbcb3a7a4, 0x63a15b0b, 0xbb6b29f2, 0x6b523ae0, 0x4e53a236, 0x2d571bda, 0x1b35e474,
+    0x45987fa4, 0x00996ec7, 0x951f99c4, 0x8af34dc4, 0x3c36dfc8, 0xdbd51b3b, 0x62f6f715, 0xacb1629b,
+    0x9e2ada46, 0x1c689f75, 0x547980f0, 0x88d052a6, 0x764529a4, 0x9578feb3, 0x414d815f, 0x21e47e9c,
+    0xe435ef72, 0x8112207c, 0x4c9dc0b0, 0x8966d9ce, 0xe47cecb0, 0x4bce865b, 0x6d1c2cc5, 0xb06ca0e5,
+    0x00000000 }, /* 10**00065467812157922837400263793936551983044332840920861295789665827361922675928\
+                         09349109766540184651808314301773368255120142018434513091770786106657055178752 */
+  { 0x00000000,
+    0x4035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e1,
+    0x67419943, 0xf7a77547, 0xce8f892f, 0xaad8eb42, 0xf5850d7b, 0x92015972, 0x9533fc58, 0xb353d80b,
+    0x00000000,
+    0xeb10a649, 0xd7d96838, 0x4b781475, 0x36c286f7, 0xba35fcd1, 0x2a715821, 0x6b52e586, 0xe40f2aa9,
+    0x9d85ca7b, 0x1f6e5856, 0x384385a8, 0x42a85b64, 0x25ad8e11, 0x1b1b78fe, 0xa45e2570, 0x314e7a69,
+    0x93edaf3b, 0xd3818c03, 0x56c9013c, 0x2110887c, 0x97b59451, 0x0af0317a, 0x112e914d, 0x30ae0e1c,
+    0x916a626d, 0xc2195793, 0x1e2c84cb, 0x6ea701ba, 0xfcd7b19e, 0x5cf548dc, 0x5232a8ac, 0xd54fafe3,
+    0x49d00378, 0x11b34146, 0x5a4a3854, 0xbda2c8c5, 0x4d76e316, 0xf9ef9807, 0x2e69a33e, 0xb2fdbc57,
+    0xfae6a6e5, 0x448b99a6, 0x528c2a05, 0x98d48419, 0x57477123, 0x78026c5b, 0xd2cc6f76, 0x2ada2863,
+    0xb4a0c084, 0x7ddaa112, 0xbdcb39f8, 0x793680fb, 0x1a95d89d, 0x62df6879, 0xffd09d88, 0x33062598,
+    0x73ad65fe, 0x4ecf52ab, 0xd8aed525, 0x0709a021, 0xc0151131, 0x3f01626a, 0xf3715779, 0xba0e60b4,
+    0xfb65a046, 0x0b536e8a, 0x2b394667, 0x67e9ae1d, 0x55732ac7, 0x90f39054, 0x7a8543ce, 0x622f9d59,
+    0x75fd6f43, 0x86e28742, 0xafcf23af, 0x8d23ea8f, 0x72d547c5, 0x17710442, 0xebdfdc77, 0x6da77dd2,
+    0x48de2216, 0x16c7dbdf, 0x937c3902, 0x1cc525ec, 0xcb6d3a3d, 0xe768ee98, 0x647ef7aa, 0xc43e046e,
+    0x79df1065, 0xbac6349c, 0xfc6f521e, 0x0bc3f927, 0x1d7735d9, 0xfbf922f6, 0xf7f904c3, 0x17359117,
+    0x5eea9c1c, 0xd9c31961, 0x87b2c2d4, 0xb4534e4e, 0x39f0491e, 0xa0f8609c, 0x68791994, 0x763bc5d1,
+    0x95e77cc7, 0x907c8935, 0xf0a013f2, 0xa2d5acfa, 0x5653441a, 0x66ff1187, 0xa5accd4f, 0x81f6edfc,
+    0x213ae131, 0x14f02422, 0x3913746d, 0x7caaa89a, 0xf296ac16, 0x306b2b7b, 0xe9b45b58, 0x7cf58797,
+    0x3ed15af1, 0x6f2cd3a1, 0x9bcafd6a, 0x723b936d, 0x758e68d7, 0x0d521dba, 0xd2a3d0d3, 0x4d0c7d3d,
+    0xb7d23049, 0x027435f5, 0xc46d36b8, 0xb515e8d0, 0x57c6b850, 0xf1358b3f, 0x746b051c, 0xb9e598a3,
+    0x35bcfa5d, 0x1cfeb8a6, 0x56b73492, 0xf4f47111, 0x8e00e930, 0xbe976be1, 0xd7c1b710, 0xb2717294,
+    0x7e5524e8, 0xcee7a71d, 0xb5f89b9c, 0xbf718130, 0x61043ad8, 0x7e914133, 0xa1f8ef2c, 0x5ceaab6b,
+    0x4f7f4835, 0x3611d51b, 0x75e4ee9a, 0x1f95725d, 0xc891ba03, 0x273a00cb, 0x8249d466, 0x1b627883,
+    0x6cb6edaa, 0xeb9c7a80, 0x66673e78, 0xc9c15d75, 0x1d81e270, 0x6b5f4a09, 0x5e91aa6d, 0x032ed561,
+    0x010c8861, 0x95661be7, 0x8aaedc56, 0xebb93790, 0xeeed66a6, 0x84e986ae, 0xada85821, 0x6b291944,
+    0xff1c418f, 0xb6f414a3, 0x9321602c, 0x15849a9a, 0xc10c1e10, 0xca1ae52b, 0xddc5e52b, 0xaef8197f,
+    0x8fdd86cd, 0xa53c7348, 0xc4f4c9d3, 0x109c2199, 0xd6927997, 0x01dd04f8, 0x806d4f51, 0x6084cc8e,
+    0x705fc20c, 0x821e2e7e, 0x1aa9f321, 0x504d53ed, 0x7b31282e, 0x3741184e, 0xd3a3ff8b, 0xc6f84dac,
+    0x831cc018, 0x2e80994e, 0xdfa14641, 0x8f4e987a, 0xed9f3994, 0x73224a9c, 0x21ce63c5, 0x4709fe75,
+    0x45102995, 0x60b7d1d1, 0xb79df198, 0x2f5f18f5, 0xc722deec, 0xa2bc810d, 0x91b3c147, 0xfe5d45cb,
+    0x015010a2, 0xffb21eee, 0xef21d732, 0x306c581e, 0x6c025d2b, 0x50f097aa, 0xfcf0273c, 0xae57e086,
+    0x9ab9391c, 0xc151c949, 0x73dc6bd0, 0xeadf4015, 0x37655a9c, 0xcc272bd9, 0xa29ef862, 0xf770b3ee,
+    0xc6b8ae99, 0x908f45c1, 0x321f74f6, 0x72b41024, 0x3d7ce612, 0x45cf46e2, 0x4565c9e2, 0xe69ec752,
+    0x60672838, 0xca30edfa, 0xbe2f8a48, 0xe4775ff7, 0x093a882f, 0x9bd71d31, 0x16acd3cc, 0x7e8fa4c9,
+    0x0fbaa354, 0xcd521087, 0xbddd464d, 0xa358e292, 0x70bb2f62, 0x2d567ba4, 0x87c45b56, 0x42c66aaa,
+    0xbd5ea352, 0xee49c900, 0xb1497f6b, 0xc82add52, 0xb68a0cd5, 0x60504a7e, 0xcbfcbabd, 0xd8e00dac,
+    0x1356b6e3, 0x3914c510, 0xd8e81310, 0x07686c40, 0x4219f8bc, 0x3b2a6be3, 0x5dc9c355, 0x4ff2e483,
+    0xc05963ec, 0x96a19a77, 0x02ff0153, 0x815e308e, 0x48431aea, 0x0e708fd4, 0xcc2e3d2e, 0x50953f0b,
+    0xccfbd0fa, 0x4644158b, 0x2cf9a514, 0xbcfa22c1, 0x287f9e7c, 0x0c935753, 0x8b09de6e, 0xa963550d,
+    0xee9158db, 0x49988f0d, 0x4a6aa9b2, 0xaf1d5d8b, 0x052326c5, 0x189fcd5c, 0x102cd67d, 0xb7b1a69e,
+    0xefe50465, 0xfdcb6dc7, 0xe04efb28, 0xb8577267, 0xe16ec04b, 0x3fb53173, 0xe10c54ea, 0x3826b67f,
+    0x049ef061, 0x824642cf, 0x37c98235, 0x8feb9518, 0x9c606e28, 0xae9c6e5e, 0x2524e4e4, 0x96d83ad4,
+    0x0a0c4268, 0xda601917, 0x914527d3, 0x5e03ce45, 0x284b59d2, 0x49ac5052, 0x43428511, 0x31ef73c4,
+    0x905d2a22, 0x18e6e7f3, 0x6ee0dc6b, 0x138c12b8, 0x14f20b34, 0x87487756, 0x1f71239b, 0x6f70246c,
+    0xf34d0fec, 0xd8d2ff55, 0x0c5c4090, 0xc79dee11, 0xa4585ed1, 0xb84963fc, 0xd7d76aa1, 0xb53cb06d,
+    0xc0a34041, 0xbdab371a, 0xc398514c, 0xc5c6e3e9, 0x629be123, 0x254c31dd, 0xd0e6b2dd, 0x63e3d435,
+    0xc8e9af22, 0x2c4b2370, 0x3dace377, 0xfd92bfa3, 0x6a53541b, 0x490909ed, 0xb036030c, 0xe6af7e5f,
+    0x5697bf63, 0x742ff2dc, 0x7de93bd1, 0xe52cb238, 0x3594a100, 0x4d6f0a7b, 0xe2fac352, 0xa6cf2906,
+    0xc58b90fb, 0x5ab0f718, 0x3990249b, 0x6dbe8273, 0xcbb7b0dc, 0xbdb6386c, 0x462d9439, 0xb13d71f8,
+    0x8e6943d0, 0x5e98b30f, 0x3fa47819, 0xfadfee3e, 0xa0572f02, 0x999fdc99, 0xa1d76bb5, 0x1c39a094,
+    0x45938868, 0x3d672612, 0x92cee85b, 0x95ad10f1, 0xa43c6486, 0x471092ee, 0xc4e34859, 0x4f1ede09,
+    0x38cd5130, 0x4adcba4e, 0xed3709bf, 0xe6269c0a, 0x1b738839, 0x004e2783, 0xedc30353, 0x99bc3584,
+    0x8bc4c032, 0x1162788f, 0xdf5773ca, 0xbc1138ff, 0xdf42b2e8, 0xb245530b, 0xdc2a15f7, 0x724f6d2b,
+    0xfdebcf65, 0xeeaa554a, 0xc1aeb626, 0x593648d7, 0xee01b13b, 0x1e536742, 0x45ca17fa, 0xe285bf2a,
+    0x6eb3c140, 0xac36a9e5, 0x99c32676, 0x2136462c, 0x81e4fc50, 0x032147b4, 0xc64fde9a, 0x1d1b79c9,
+    0x9b43ba5a, 0xd7c449d1, 0x4e4e9a7a, 0xa840a721, 0xcb43f7bf, 0x7a074545, 0x582e0f01, 0xc4c4d5f0,
+    0x33c861d7, 0xa7719421, 0x79953406, 0x751ae2fc, 0x6864cec4, 0x70a04da3, 0xbb7d2694, 0xc6a7b883,
+    0x42a2a815, 0x57d8c70a, 0xf13146e3, 0x5d1b424a, 0x800c3d17, 0x53e15057, 0x30fe085a, 0x7e49babd,
+    0x15246e8e, 0x63eb6945, 0xef3fe502, 0x8f6353ba, 0x272a30e7, 0x2df79ceb, 0x25db3e6a, 0x6b83787c,
+    0x93c66cf9, 0xe6802a84, 0x36c4b8f4, 0x6b2528dd, 0xad9669fb, 0x8536c4ec, 0x5c180ba0, 0x2c32a8fb,
+    0x90fd42c8, 0x1d1f3246, 0x1c0b96b6, 0xc068fdb8, 0x1088f59d, 0xd1e5557d, 0x33f5b616, 0xaa064790,
+    0x2a9c696c, 0x3633c775, 0x502a2d65, 0xba2616b0, 0x28536424, 0x94000e5c, 0xef2bf183, 0xbe59a8cb,
+    0xc51ce728, 0xbfa68c70, 0x4b02eae3, 0xa750d1bd, 0xd111390a, 0xdc66d006, 0xe1a85d2b, 0x53ba1fd0,
+    0x349ca32e, 0xec00f68c, 0x140977c0, 0x3535480b, 0x526b739a, 0x9d4100fa, 0x3c484eee, 0xf13c4e51,
+    0xd427fa1c, 0x8ec97c7f, 0x8fc5e12e, 0xe152866c, 0xc442a2f9, 0xf66276d8, 0x6650a1fc, 0x10264fed,
+    0xa3c5b1e9, 0xe4b4b217, 0x6a2ce3a3, 0x05b6581a, 0xe5aa9b4e, 0x1631c3e8, 0xcf79787d, 0x0f890d23,
+    0x49bf34af, 0x05600587, 0xdb2b9d84, 0x5cf13eb1, 0xb9148f1f, 0x488858dc, 0x7bd625b1, 0x708bbb6f,
+    0xb7f079f7, 0xcb11f67f, 0x5403a8e5, 0x8efdba12, 0x56d2c48f, 0x7d25ea54, 0x82d3c76f, 0xadc4b454,
+    0xee03cf1e, 0x8e2ac72e, 0xef2e9e9c, 0xb68236ae, 0x2d94f572, 0x1c7fabb8, 0xfde83a66, 0x92206446,
+    0x247f5791, 0xbd281af7, 0x916c68ab, 0xd51039f5, 0x72ac1fbe, 0xa29359d8, 0xafc77473, 0xe808c9a2,
+    0xe12c00ef, 0xe453e26a, 0x4fbdaa77, 0x8dc537c1, 0x695f4616, 0x9b9e4759, 0x3db712de, 0x9a5c9cbb,
+    0xffe273e6, 0x494a7f3e, 0xd1b36ef6, 0x6cd6d2c0, 0xa7b15c04, 0xd139efd2, 0x413d1b11, 0x921459ce,
+    0xde4edc02, 0xd8479724, 0xf8011f40, 0x3afb8f50, 0x36f3bdbf, 0xb947ab55, 0xaaada654, 0x8f677f5b,
+    0x937a3dd5, 0xdcecdb4b, 0xeb7222b1, 0x5d6b5133, 0x9bc945a4, 0xb13f9b27, 0xe7749fe0, 0xf76b17c1,
+    0xcde46ff6, 0x09395cd4, 0xcd8bfd83, 0xa4540506, 0x4d7a1df6, 0xe040173e, 0xd91cfe90, 0x7eba91d9,
+    0x6b85731a, 0x40c59b67, 0x8fa49ad1, 0x12bdc1a0, 0x52da6f9d, 0xbd9e01fb, 0x2169c7e0, 0x5aa0f4e7,
+    0x5d19b4c5, 0x0bb25353, 0xb1773f64, 0xc901ae94, 0xafaeba36, 0x8d432a2c, 0xe53124fb, 0xe598cd05,
+    0x47d3ee7a, 0xf33495f3, 0x03e013c1, 0x57a29d50, 0x40932c44, 0x832a9835, 0x0ce6b2a5, 0x9665a2ec,
+    0xedc01bc8, 0xffedb5aa, 0xbf9ba6e3, 0x51791357, 0x08e2912d, 0xe9c67a6d, 0xc8745eb6, 0x6cc1794c,
+    0x5fa7cc3c, 0xf7540f98, 0x6b066322, 0xe3dacb60, 0xc292b732, 0x6ae15574, 0xe27458db, 0xdee35841,
+    0xc3820723, 0x694ba0fa, 0x4aec0b6b, 0xcadacb9a, 0x2659a70c, 0x1d6e1e24, 0xc50ff420, 0x98610639,
+    0xd5b21cd4, 0xfa679413, 0x356c755d, 0xf6b70e68, 0x7d8d20b6, 0xcbd1bb52, 0x125bd15c, 0xc6a7f0ce,
+    0x4e6a1b2a, 0xef145914, 0x4abd35af, 0xe343cc89, 0xf1f273dd, 0xa244c82e, 0x32517e87, 0x9396232e,
+    0x2f1e6875, 0x86b1a2d0, 0xc97640aa, 0x9442f0dc, 0xd404fc9d, 0x235f6019, 0x70b6b645, 0xf0cdeceb,
+    0x96df55e3, 0xa4cb49db, 0xd5367613, 0xed565536, 0x8477088e, 0x788918cd, 0x2828675c, 0x6bd7bbd0,
+    0xaf9e5357, 0xb0af4f91, 0x1ab8f979, 0x6d5c0406, 0x9d9c9b02, 0x1cf4e071, 0x8e5198c2, 0xaefe453e,
+    0xed9ca450, 0xfe69a404, 0x7e4547cd, 0x4d593f39, 0x0de64bfc, 0xb7fcaad0, 0x24fd0888, 0x41c6f204,
+    0x39632bca, 0x7f159ee8, 0xc5a16e88, 0x364806e9, 0x0a49d56b, 0xef933c8b, 0xecf0298c, 0x3a80a6ad,
+    0x39e642ed, 0x40285599, 0x7d979a02, 0x6eeaaf3e, 0x8602157d, 0x9e81e34f, 0xc4e817a9, 0x5aa30c96,
+    0xc80649f2, 0x5e760a83, 0x98ea0779, 0xf52c63ba, 0xc9926bbc, 0x6c47d915, 0x2e36464a, 0x94112574,
+    0xc8d42a78, 0x62a72133, 0x29a21e3c, 0x005c8505, 0x9e904c90, 0xd1504ca6, 0x87a31820, 0xc0421169,
+    0x47109c9a, 0x4ae4628c, 0x9a06bea7, 0xe185eadf, 0xcb65ac7b, 0x4ac80d69, 0x2c1841ac, 0x048e431d,
+    0xe2884072, 0x9fd3142f, 0x00eba90c, 0xa2cd0243, 0x876ba6fc, 0xd64a2b2e, 0x20af7501, 0x20dd894b,
+    0xeb3ec126, 0x0f705d98, 0x190e8901, 0x8fdca77f, 0xb6d1713f, 0xb7e4338b, 0xbbd21c44, 0xab9b2cf9,
+    0xc5245e2f, 0xc2c35020, 0x39d7e005, 0xe57ce542, 0x24e48a28, 0xeedb7dac, 0x8dbee3dc, 0x4ba31338,
+    0x916bb5d3, 0x179cc4d1, 0x3ad66f3b, 0x66a15b56, 0x90556668, 0x8ce4e4d9, 0x568da683, 0xa9d129d2,
+    0x40a7eab4, 0xb347c440, 0x07f2529b, 0xc00af599, 0xe70750f7, 0x7d8e5d67, 0x991c247e, 0x57f869e1,
+    0x6792ad98, 0x3a44fdf7, 0xa11330e6, 0x8fe79605, 0x38f04808, 0x0496e2d2, 0x2ef0c1c1, 0xcc2f0247,
+    0xfaf59728, 0x8c1c700e, 0xfc080644, 0x19db6fac, 0x0027e50d, 0x18a9d691, 0x8d6747ff, 0xed003c1b,
+    0x9186b17e, 0xf4655af5, 0xe841d428, 0xed4dc422, 0x6030db23, 0x74bd063d, 0x923ef8f7, 0x0001a1a9,
+    0xe5409069, 0x880398b9, 0xa768c966, 0x4c4618eb, 0x0b26affa, 0x2642d449, 0x0c7b494e, 0x8dc8f497,
+    0x1c872b75, 0x1761147f, 0xe724ee0b, 0x7d1f0aed, 0x4d988efb, 0x9e9423bd, 0x394ab665, 0xafc6675a,
+    0xd66718b9, 0xfc301325, 0x76302217, 0x8c92810b, 0x66ae95b9, 0x9ef4ad4f, 0xd1fde2a7, 0x4ffea1ed,
+    0xd69556fa, 0x3c8a8e6a, 0x8e200885, 0x3a981d3b, 0xb8060aee, 0x1b8237fe, 0x13e8b277, 0xe4b2e7a6,
+    0x30b25bd1, 0x5f21129e, 0xafd6058c, 0x0039651d, 0x64095c05, 0xfc1e0afa, 0xbc53fc49, 0xc0a1a1e4,
+    0x9eef2083, 0x41e7605d, 0xec480b18, 0xfbf2d765, 0xc8b3b6d2, 0x6c724319, 0xc4c94208, 0x8f495927,
+    0xe3ac7c37, 0xc61257dd, 0x60108986, 0x77af2bb5, 0x90c712de, 0x6c95e4f3, 0x73e55339, 0x672316b4,
+    0xfaaef3d6, 0x5432ba02, 0x118ef626, 0xa001dd36, 0xb83a56b7, 0xe7c6df05, 0x1633fc1e, 0xaa37f5ac,
+    0x28a9a57a, 0x7238a144, 0xdd885955, 0xbaa82def, 0xca9ecaa3, 0x5eb515d1, 0x870d4127, 0x53d73a7e,
+    0x409e8bbf, 0xf145893a, 0x8686ad6a, 0x9936cfb3, 0xbd549b5c, 0x866edcf9, 0x08d5a924, 0x455aa717,
+    0xe372cdbf, 0x7ef92293, 0x187b9279, 0x7234f6ad, 0xc46dd59a, 0x99b3798a, 0xa3fc9518, 0x66d71f5f,
+    0x5b05f16a, 0x039cc683, 0xe8e133a8, 0xd6e95775, 0xcdb0a3b0, 0x9daa40f4, 0x7217941a, 0xb0745386,
+    0x2d0f8230, 0x8ff1900d, 0xe642e7e3, 0x3be70b78, 0x895f6b49, 0x0d883634, 0xfe9bc96e, 0x6f087404,
+    0x50b08bde, 0xe8eaacea, 0xb271bb57, 0x0797398e, 0xf4d4786b, 0x4061b37b, 0xf1f9b923, 0x713b57d6,
+    0x20e42bb6, 0x8a38b9e8, 0x1c33cba1, 0xd6dc70ae, 0x2d41017d, 0x524b461b, 0x94afdcec, 0x605e2cd3,
+    0x579341b6, 0xfd467eec, 0xf6291873, 0x322a2fa0, 0x313dc101, 0x0db3fc69, 0x35aa3db3, 0xad2f1150,
+    0x133374e6, 0xcd4853ca, 0x76d7d62e, 0xf6a25c66, 0xd24e42c4, 0x771e6269, 0x2534c089, 0x54e151f5,
+    0xb7501e36, 0x98c6ce82, 0xc550f100, 0x2a23ffce, 0x17c7138f, 0x7c41bc7f, 0x093c1128, 0x6b36bf52,
+    0x121cb4b0, 0x2fe169ce, 0xbd2f1f55, 0x4f5fc8c6, 0x64cb7f6b, 0x47c94156, 0xcaf697e7, 0x6820e0db,
+    0x3ad3d4a7, 0xb6bd188f, 0x1731587d, 0x95dcbcc7, 0x6d183d52, 0x9797f861, 0x5db2b4d1, 0x4d3295b5,
+    0xd561ad08, 0x404ec07c, 0xf272a774, 0xbbc2555e, 0x9955f074, 0xc2759b13, 0x93470e09, 0xcbd2cc9d,
+    0x5836eb37, 0xed66698a, 0x218a5420, 0xe299aa58, 0x4d5251ab, 0x937645cd, 0x87c02c92, 0xc15f761e,
+    0x9c1cd311, 0xf0c4eea1, 0xf8d5c714, 0xbe2b8a50, 0xc3a7adfa, 0x81cde12a, 0x444b058a, 0x78944eef,
+    0x55d609c4, 0x7a3cbad8, 0x17feb88b, 0x14afc69f, 0x11c58f69, 0xb1f64c9a, 0x28f3cca7, 0xa8a33b15,
+    0x804b3649, 0x57a48c1f, 0x470bcee2, 0x79ffcb00, 0x2dafd482, 0xa4a71cc5, 0x0e647f4c, 0x632ef029,
+    0xf88b9c85, 0xc609a84a, 0xb4eb0f82, 0xd86f9f7b, 0xdc9d82be, 0xf78efca8, 0x5c2c5acc, 0xe7d7a21d,
+    0xe4ddba39, 0x083bb100, 0xfb67eac1, 0xb0ba1a36, 0x1a4f16b3, 0xaeadba4d, 0xfdeb70da, 0xdf1c189a,
+    0x56c06455, 0xe6ac4699, 0x0fed3494, 0xa008e5b0, 0x9384802b, 0x29db0334, 0x228bd63f, 0x97de2b5e,
+    0x8130f0ca, 0xd73d1905, 0xa23f68bb, 0x7887f032, 0x8f5babd9, 0x3e550463, 0x17d61563, 0xf216aef7,
+    0x00000000 }, /* 10**00032733906078961418700131896968275991522166420460430647894832913680961337964\
+                         04674554883270092325904157150886684127560071009217256545885393053328527589376 */
+  { 0x00000000,
+    0x401a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cf0,
+    0xb3a0cca1, 0xfbd3baa3, 0xe747c497, 0xd56c75a1, 0x7ac286bd, 0xc900acb9, 0x4a99fe2c, 0x59a9ec05,
+    0x00000000,
+    0xad75b9b7, 0x39809a20, 0xa778853f, 0xbf088ebb, 0x2ce3ed94, 0xf3020df6, 0xe6a9a881, 0x507f5c07,
+    0x7afed4b2, 0x25dea0d8, 0xa42a2638, 0xe6fd5882, 0x80e2d5e6, 0x66d1023d, 0x277db3be, 0x3bf9cbda,
+    0x951e0032, 0xdf95e73c, 0x25936e18, 0xf905d999, 0x0ca69858, 0x994c2f5b, 0x3b21d3f8, 0xd132a382,
+    0x32cab31e, 0xc4772d18, 0x65ba9587, 0x5796b3af, 0x752d5cf4, 0xe42a4c0f, 0xc7b587a0, 0x166ed099,
+    0xccb4c911, 0x98a80188, 0x43ab1dde, 0xe1804291, 0x8dec9af8, 0xa758fc15, 0xc58b5a0e, 0xe7805d1f,
+    0xd9d8760a, 0x54c61c3c, 0x90ca7bb9, 0x470edb53, 0x051e4a1b, 0xbf1d7d11, 0x8ca38c49, 0xbc54ee00,
+    0x243cd13c, 0x79406cab, 0x54c2bd2f, 0x00d38392, 0x07339010, 0xc6c66456, 0x69198a22, 0x6410d3ca,
+    0x1d3ede47, 0x229168e0, 0x80408391, 0x56e447bc, 0x6ed48f14, 0x81aaab28, 0xb7ce508d, 0xaee04083,
+    0xc21f32d1, 0x1b0145b1, 0xddbbc0e8, 0x61c7f531, 0xd74ba9b6, 0xcf4b7aef, 0x3932b121, 0xc51c831b,
+    0xd58f8c6f, 0x458a2842, 0xc97c27c9, 0x784b285d, 0xaa460140, 0xcbf5c8a1, 0x7d7db0d2, 0xb7a5d6cb,
+    0x27ea8b16, 0x7a137b77, 0x28187530, 0xd405a3e8, 0xcf2ff2aa, 0xe609648b, 0xd1e6feed, 0x2b85659b,
+    0xc3ad87c1, 0x39cc5ab8, 0xcb6c046e, 0xe0cb399c, 0x3e5897ae, 0x4a37cb45, 0x3f20b49f, 0xeeb1ab88,
+    0x7e2728f0, 0xaa05690c, 0xb55891d3, 0xe8d1f975, 0x64882ae2, 0xb9286a77, 0xd73b175c, 0xf5113d1c,
+    0xdf2ff11a, 0x1d70d892, 0x8e87fc15, 0x4414605b, 0x556fc7ab, 0xf8bc104f, 0x5a9af303, 0x8fbdf25d,
+    0x347dbd7f, 0x541345df, 0x9afc6103, 0x58cdae2b, 0x4ab8d123, 0xd0ff5f9b, 0xf08196ed, 0x0751a5a5,
+    0x697cfb13, 0x70f09043, 0x61c2150a, 0xdf89d26b, 0x4817ca4e, 0xe206c705, 0x36372e82, 0x9c3ebdb5,
+    0xace4efe0, 0xbeca3a13, 0x941da9d0, 0x88d9b22a, 0x57d0e3c6, 0xd85ca4cb, 0xc2f5d61a, 0x9832c41b,
+    0x3563a75e, 0x5f294a1a, 0xa0e10149, 0x07366070, 0xf54aed0d, 0x4460aeec, 0x40cbff66, 0x7256f79a,
+    0x6dde4704, 0xab81bfaf, 0xd6686c87, 0xcd2f93c7, 0xf8be771d, 0xe090073f, 0x525932de, 0xdad0a9d7,
+    0x0975fb73, 0x32c8255f, 0x3d214b1f, 0xde92b163, 0x35375fa2, 0x9ada4c82, 0xdcf58b8b, 0x8f717243,
+    0xc6d68284, 0x2f1d26fa, 0x2d984aa1, 0x5ea43a0b, 0x161df818, 0xf32b246a, 0xe56ad685, 0x808b94b6,
+    0x82d8e13a, 0x102f569a, 0xe0dc4d41, 0x7f70da31, 0x2094d286, 0x780d72da, 0xb08c9a47, 0x2288ebeb,
+    0x2329d584, 0x810bc891, 0xdb5a8985, 0xa929d03d, 0xa1af5987, 0x9a0b5cae, 0x124201c1, 0xac34619f,
+    0x30dd46e4, 0xb75f8828, 0x341787f5, 0x682367f9, 0x80878122, 0x486f469a, 0x4cd045ff, 0x1e387c8b,
+    0x6199fe84, 0xf0d8160f, 0x61a899a2, 0xeeca4f1f, 0xb89afed9, 0x35d4d9e0, 0xe21c5494, 0x2bec5d38,
+    0xb6b468e2, 0x10c2e070, 0x6b4f43f2, 0x12571341, 0xed069e5b, 0xb4fcb9b6, 0x1df9d917, 0x5a2a9aff,
+    0x1398a1e8, 0x040a65e0, 0x05858b80, 0x283e0f08, 0x9a249dd1, 0xb2bc2740, 0x570cf354, 0xd1a6fa5d,
+    0x63c78ce8, 0x0e222b1d, 0x1a448df4, 0xdc878776, 0xae22eddb, 0xca11ad7a, 0x6939dc64, 0xb1859883,
+    0x055be58d, 0x0614daac, 0xbfb63746, 0x53fbb9e7, 0x6661dd93, 0x3f052315, 0x0670af2d, 0x92829e88,
+    0x112107ae, 0x1aa0faff, 0x13a3af97, 0xa37d7d79, 0xf9b68553, 0x2db0e8bf, 0xae8c2706, 0x7914702d,
+    0x6b4fdccc, 0x573693bf, 0x33703d87, 0x829e4566, 0x11655bd4, 0xed875f88, 0x2e286bda, 0x42790709,
+    0x831292b7, 0xf209bd6a, 0xee1327d9, 0x3d6d4324, 0x5e36054d, 0xf1085d9f, 0xf908d20c, 0xe1b9d2f2,
+    0xde3a4abd, 0x1d93e9d3, 0xb11ebd34, 0x393a447c, 0xe13b38f4, 0x25b03a2d, 0x60126289, 0xa644c12c,
+    0xbc430d5d, 0xcf4c6f39, 0xec32670e, 0x6f91c907, 0x3cbcad8a, 0x1fe056f0, 0xdd1c52e0, 0x9d083cfc,
+    0x41f9b979, 0xc46c80b0, 0xc26e4787, 0x9922156f, 0xfc0e425f, 0xfa063142, 0x357110ae, 0xa49b47fc,
+    0x9b37ac85, 0xd1122cf8, 0x2b665fae, 0x5fc4bf7f, 0xb55a711a, 0x2d27d3cc, 0xeb445db1, 0x9967369b,
+    0x845bf1fc, 0x76951e07, 0x77c7d9ab, 0x109bafa3, 0x8e41b731, 0x17cf184d, 0x9d1625e5, 0x213f1dee,
+    0x535bdb62, 0x2444b4a3, 0x9dae7f79, 0x4aa2c1da, 0x91f048f8, 0x067e7e11, 0x7ec4074c, 0x7926751f,
+    0x50bb660b, 0x830977bb, 0x49488ad9, 0x5690f8d8, 0xaae61609, 0x33744334, 0x8a209fa9, 0xbd104564,
+    0xd0b637f0, 0xef2cb3fd, 0x924ab8d8, 0x09c76843, 0x81e39dc9, 0x4cb43a3d, 0xafc246ce, 0x46f91df8,
+    0xb9db9b13, 0x1e3fa73d, 0xb25aead7, 0xd9bc6112, 0xe7564f46, 0xea90f73a, 0x0de2f17e, 0x90ad042b,
+    0xfa9b54ef, 0x5228a8fe, 0x1d6d96d2, 0xd6102cb6, 0xf4632043, 0xb5a81315, 0xe1c50e10, 0x1cf59f72,
+    0xe3ba812f, 0x6e4cf295, 0xdac4d3b6, 0x521e8de2, 0x20fa0d90, 0xa2a90960, 0x32993f61, 0x2e8df8f3,
+    0x839c7227, 0x41c5b768, 0xb9d8002f, 0x6102c8c4, 0x66542f27, 0x1ae9e304, 0x8f1ece30, 0xc1fed4e3,
+    0x79c6df71, 0xd7083150, 0x5588364a, 0xe17da4ed, 0x233bc98c, 0xd71546d9, 0xb8f43ec5, 0x73f26555,
+    0x049d279e, 0x73530784, 0x46882428, 0x095b7bfe, 0xfc4149be, 0xe509a7ae, 0xd47b29b9, 0xd763600a,
+    0x4ab69bbe, 0x2cf9338d, 0x1150be89, 0x1226bda3, 0x9241bff1, 0xfa9ead19, 0x08e5cbc4, 0x477a85e6,
+    0xb2d5012a, 0x9323557b, 0x9259cb2d, 0x67422acc, 0xa533ce0b, 0xc28ec1cb, 0xe0d2f468, 0x3a7ec287,
+    0x9da84791, 0xbe0dc46d, 0xef143716, 0x8517b997, 0x0a78caa1, 0x76a0a945, 0xc98e6958, 0x40199afc,
+    0x20948fae, 0xf1baaf00, 0x0ae6134e, 0xb692b619, 0x63ad7e8b, 0x7548e1ca, 0x99a1809d, 0xf18f7fc0,
+    0xf1010ecd, 0x6649d828, 0xe60f5546, 0xa26a632e, 0x47bb5aa2, 0x01ee0f1d, 0x86d55bb9, 0x1b9e0c7d,
+    0x634f9e6c, 0xc6b99ee6, 0x00bee53e, 0x9b51640d, 0x6eac25c1, 0x020a3e2a, 0xcea3b311, 0x6418b9d9,
+    0x3681c31b, 0xe9c631eb, 0xe8c7de43, 0xa9496c2c, 0xaeb7f5ec, 0x014ac679, 0xddeaf287, 0x83db95c9,
+    0x34062d51, 0x323a1c32, 0x00c02d53, 0xa9f8e00a, 0xc847e850, 0xa7963d3d, 0x86747ffd, 0x05df837d,
+    0x2c0d686e, 0x77625948, 0x050fc1b4, 0x243fd416, 0xed3322aa, 0x18829bed, 0xecea71c7, 0x0018d801,
+    0x22532b2d, 0xaadb322e, 0x6b8352fd, 0x2214cd97, 0xcd8c1cd4, 0xedccd0ff, 0x2fd56619, 0xac17cdb1,
+    0x7aa6c1d6, 0x9ccc6aee, 0xb294888d, 0xe7c60aea, 0x51e76078, 0xd123ea05, 0x17fd0820, 0x72f3d1cd,
+    0x5437004f, 0x4c6bdde1, 0x31d35901, 0xa0a11838, 0xa5ce91f8, 0x9c627879, 0x62e50094, 0x3d787600,
+    0x122a09e8, 0x12f232b1, 0x98ea04f9, 0xaf49663e, 0x13ceadf4, 0xf1f56e4b, 0x2359c193, 0x3f9eabe8,
+    0x1b6d8e06, 0xf5a874f4, 0x5ed7aa4d, 0xd9697a04, 0x127e5067, 0x6dcf5730, 0x7872dee8, 0xce1b3d4c,
+    0x002783e4, 0x00122a34, 0x011622b5, 0x2b70bd2c, 0xb53b13db, 0xbf8d2bff, 0xd17b0e1a, 0xdc0c2022,
+    0x361b1106, 0xa0a3b61b, 0xd9243bb0, 0x901a3087, 0xc8cf90c5, 0xcc9a58ad, 0x9b280f46, 0x32e87a85,
+    0x9b8e6f52, 0xf7197ce7, 0xdf84595a, 0xdb3588d7, 0x166f4c51, 0xbd9a150a, 0x4b6a55a9, 0xcce960ab,
+    0x1dff18e4, 0xd3259263, 0x6be2ad6e, 0xf338a4a6, 0xd3e4a4e8, 0x72a815f5, 0x429aa21f, 0x54381404,
+    0xf94c5c1d, 0x76e34ff9, 0x8fe013ca, 0xed239fc6, 0x2431b298, 0xd4a1039d, 0x008ae3f5, 0x36482e22,
+    0xfbed0c7d, 0x5c48dc94, 0x1462f7f6, 0x2aad9031, 0xb24e2b87, 0x664a5fc9, 0x06ea3489, 0x249c5ff1,
+    0x4df89b56, 0x705d6e08, 0x66925479, 0x21d9e629, 0xd6f36585, 0x9da1fc91, 0xfb784563, 0xfac033b7,
+    0x7fddf9dd, 0x5520883f, 0x8581ea50, 0xe3ef1073, 0xafac181a, 0xc10288a9, 0xd9c84756, 0xe7adf503,
+    0x26407fd6, 0x668307fc, 0x0096fb73, 0x396467b6, 0x1549233a, 0x0ab7095c, 0x526d5ae1, 0x802e87dd,
+    0x3e25ed2b, 0x71c66aa4, 0xb6e115f8, 0x14789941, 0xf2f2b961, 0xedea1bf8, 0x3658f984, 0x39811f55,
+    0xb4927afa, 0xde25e082, 0xd6b6b889, 0x1b67227d, 0xe73bbf72, 0xf5c4c02c, 0x33784197, 0x7519bcaa,
+    0xe7a5a460, 0x3de48857, 0x25fba1b1, 0x5d429e11, 0x7d74f9e4, 0xf6e71ae9, 0xeb9eabc2, 0xf0d124b0,
+    0x2edeacf6, 0x5c1c5ad6, 0x61e589b4, 0xfbccd676, 0xd0e72fb1, 0xb7a7e2ba, 0xd6fa63c3, 0x29c2fc57,
+    0x03e0948a, 0xabe0ec83, 0xaa40a464, 0x74395ac8, 0x3ae7afbf, 0x2aeb83fc, 0x0e5a9b1b, 0x7cbdcb4e,
+    0x74efedd4, 0x1545146a, 0xbbf29f6e, 0xa0cddddb, 0x6927a799, 0xe7081d83, 0x4a2e332f, 0x8c2ff66f,
+    0xaa3abc79, 0x8ae97539, 0x97137689, 0xdc0d0452, 0x3ea4314a, 0x87966609, 0x29f09130, 0x25e8ec41,
+    0xc2afbbd4, 0x26857fb1, 0xe5be3141, 0x0a7e6ee5, 0x0bd22601, 0x2668e4ed, 0xcd473206, 0x862d33d2,
+    0x8a95bcf6, 0x9833fec2, 0x903ee2ec, 0xcd794cb3, 0xa60241d4, 0x283f1a08, 0x17afd333, 0xe14d01f8,
+    0x802acec3, 0xa27c6ae7, 0xd6d1de6a, 0xfe2f0aa6, 0xd9b149ab, 0x6f7e2fb5, 0xee08df9d, 0x14990677,
+    0xe926c008, 0x35d38e2b, 0x101e461f, 0x9c43c681, 0xd7c66535, 0x6816b889, 0xea061562, 0x21e2e66f,
+    0x69de32ff, 0x724cfed9, 0x62d28864, 0x79ae7122, 0xe3807166, 0xb5431b9d, 0x7ff4b2e9, 0x29a78d3a,
+    0xfe5fee63, 0x8f76704c, 0xae9e28ee, 0xc0f1b614, 0x7cff5831, 0x105233ca, 0x0153bf2a, 0xd72b5a99,
+    0x3d8f2678, 0x09c13c5e, 0x9aa460fb, 0x192865be, 0xf9ae6943, 0xd28903e8, 0x3b6e7213, 0x784dbeee,
+    0x61c40ad2, 0x6b7bee23, 0xa3a11afb, 0x32214e55, 0x5028c8c4, 0xc1e188cf, 0x676ea6c2, 0xfe0611c4,
+    0x7596f8ad, 0x57ebc695, 0x716af707, 0xcfadbf0b, 0x31038c9e, 0xfaafdbec, 0x0c4cc679, 0xbef5ad9f,
+    0x3d149b8d, 0x13576d5f, 0x5ae92bbf, 0x19885393, 0xdb953bff, 0x7eff8d8e, 0x0db34751, 0xce32f7ee,
+    0xaf352232, 0x9843db85, 0x00dd3c46, 0xcbaa5d5d, 0xc37c1b4e, 0x74b42935, 0x131ff29b, 0xc43fec75,
+    0xf7f471d2, 0xf5344a9c, 0x0e8de41c, 0x9c6aec87, 0xc78ab64b, 0xde051fac, 0x8355c780, 0x2bb3bb1d,
+    0xec28a92e, 0x88694a89, 0x19da897e, 0x708f756f, 0xdf898d8a, 0x7a8a2e6c, 0xf1402868, 0x7bcd8f19,
+    0x979c067c, 0xecf9467a, 0x8ea2c407, 0x6e47bf14, 0xa1d30391, 0xa9fe2446, 0x9145af9c, 0x8e29a913,
+    0x75d6affb, 0x9ec9d5fb, 0x2838a0ed, 0xb88ef133, 0x7e992a45, 0xd4bf5911, 0x0191e451, 0x93cc8f13,
+    0xb2f080d9, 0xab2ff987, 0x06d3c6b1, 0xc4e23216, 0xe0087e24, 0x55e76a4a, 0x518d3ae6, 0x812db82b,
+    0x3a4211af, 0xa176c591, 0x36c015a4, 0xdcb50e07, 0x2f136a01, 0x828d534c, 0xdd34c98e, 0x7a7bbbaa,
+    0x60a6e88e, 0xa51a45a6, 0x30dcc74a, 0xf2772556, 0x49163b7e, 0xc0bea1f1, 0xbd75b9e9, 0x13544775,
+    0x54eb8fa2, 0xe968045a, 0xb5bcf166, 0x5adf1c9d, 0xac171abf, 0xadb50f64, 0x19ff3a34, 0x69329dbf,
+    0xb03bd9b4, 0x0ff21314, 0x5465582e, 0x2685532b, 0x86cbdf2b, 0x87ffdc80, 0xdc5d1ac7, 0x2bc05574,
+    0x9530c81b, 0x33d3c554, 0x6a911980, 0x9afc0338, 0x740fdc91, 0x03db01a1, 0xd4278871, 0x76120ed7,
+    0x7e1aff37, 0xe4095298, 0x84045ba8, 0xe555867e, 0x725fecc9, 0x6a2ba884, 0xc96b2ab3, 0x6ea19814,
+    0x4e1a7d79, 0xc30f8809, 0x60d08f06, 0x391288d5, 0xb9ced4b0, 0xbdfdc707, 0x13dcf640, 0x579478fd,
+    0x9005f5bc, 0xf789b05c, 0x0163c6c4, 0x8cbbe815, 0xd8cc08bd, 0x4052284e, 0x19e9a5fa, 0x28e8b4a9,
+    0xa4ee1979, 0xbeb108c9, 0x33bbaf8c, 0xc34d6375, 0x91ab5aee, 0xa3fbd5c5, 0xf9f02326, 0x773ec64a,
+    0x356665f0, 0x42b0a2dc, 0x30260dcf, 0x30072e8c, 0x2f3fafd0, 0x7c8da8bc, 0x86a03b31, 0x15b24690,
+    0x5ca824ec, 0x35a18d40, 0x512c9adb, 0xf8d6ce7a, 0x8a3c26f9, 0xb4242236, 0xb8d7bfc3, 0x85a934d8,
+    0xe0947e46, 0xdc99bd3c, 0xa26ae171, 0x8ee89910, 0x039a55b6, 0xc4cc6dd6, 0x8a7dd519, 0x36ddace3,
+    0x77360f55, 0x5c97c2ef, 0x5cc17b86, 0x3a64117e, 0x6abb616d, 0xeb49d15a, 0x0ede4a7c, 0x09e77bda,
+    0x6bc74d31, 0x3a76294b, 0x3d448aa3, 0x97d03389, 0x251fa66f, 0x59691f92, 0x31a06a39, 0x74670fc6,
+    0x9b85b0d3, 0x05361640, 0x70486e41, 0xaaebcc76, 0x4befa230, 0xee3b1d20, 0x2bd9a8bf, 0xc2de0253,
+    0xaab858c2, 0xea638e70, 0x8dd8799d, 0x4f35823a, 0x4a0de375, 0xac70b1be, 0xf92d1e40, 0x1a0a9344,
+    0x0bc949f5, 0xd49b8abd, 0x9a505e70, 0x9fa9b066, 0x80a1c486, 0x818f058b, 0x3dbb0be2, 0x8780ba62,
+    0x0351d1ab, 0xc8ff2dff, 0x208a6649, 0x312386b7, 0x5d1a969e, 0x61837b67, 0x7e7834ab, 0x5d1cdf78,
+    0xead1a33c, 0x7d4892ec, 0xf5f41488, 0xaecbfc68, 0x1fd1afec, 0xfa67d348, 0xa7de5e03, 0xab8b155f,
+    0xd68ef4b1, 0x04636db8, 0xdca54e2d, 0xe95f2c0a, 0x52e8ac73, 0xdf5818be, 0xe5c496c5, 0x0b8dfa0b,
+    0x43d298ee, 0x9e35a60b, 0x2eeab508, 0x33868317, 0x354efae7, 0x81662585, 0x43cd86bb, 0x3bb7c481,
+    0x2180ebba, 0xf5e4b1b3, 0x6c78206e, 0xacb4dd4d, 0x672a7099, 0x4302f8fd, 0x90ce3a2a, 0xc8fd3815,
+    0xa70189c9, 0x46795ad5, 0xb3779a67, 0x441f48d7, 0x491347d7, 0x25f5d1bd, 0xfad70b21, 0x98901ed8,
+    0xee76b076, 0xd4a15063, 0xa80905bb, 0x10c37d2e, 0xc4c8d770, 0x1e9adca1, 0x5bf278ab, 0xa9b3a499,
+    0x62931652, 0x9c559117, 0x8dc3fc10, 0x246bc271, 0x29b2fb62, 0xefc5827a, 0x247fffc5, 0xbfce7539,
+    0x5d3422d7, 0x2174ac28, 0xe1caa5e8, 0x0da6324a, 0xaf33a511, 0xd10a1a06, 0xb8b05251, 0x2f3a2cbd,
+    0xf629b3ad, 0x9e3dddc5, 0xa2f2ce3c, 0x27842cf5, 0x876d80f4, 0x65d135eb, 0x86e53b4f, 0x57760248,
+    0x76801ef8, 0xbd905682, 0x3f0e6ca5, 0xeb9cf434, 0xb2d390c9, 0x301b92f5, 0x0c91d004, 0x98210b8a,
+    0xd7dd0c58, 0xcb13a758, 0xa333dc6f, 0x09cdfce5, 0x6e521d51, 0x2791b885, 0x4acd689f, 0x33ac8d63,
+    0x06329c3f, 0x76ef747a, 0x5cb08e37, 0x42088a27, 0xbac9adf3, 0xe63fdf82, 0x8d1a328f, 0x3a38dd9f,
+    0x7c51875e, 0x7fee1da1, 0xb045ef3c, 0x09691f2a, 0xc491daf7, 0x426fdba4, 0x8ab19cbd, 0xa2153157,
+    0xd1ebb39c, 0xd54c8b4d, 0x05c4111b, 0xc8129f18, 0xb9e15b91, 0xc0f2d41d, 0xb1c554a6, 0xe62a287e,
+    0xc14b1673, 0x8851f5d0, 0xfd931586, 0x8094d2da, 0x6c0453c0, 0xc8379416, 0xb0cb0d65, 0x61967251,
+    0x4b8a1dcd, 0xa1930cc1, 0xbfb02944, 0x84b90e29, 0xed16c31e, 0xd27bf147, 0xe630f0a5, 0xd9563c36,
+    0x00000000 }, /* 10**00016366953039480709350065948484137995761083210230215323947416456840480668982\
+                         02337277441635046162952078575443342063780035504608628272942696526664263794688 */
+  { 0x00000000,
+    0x400d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e78,
+    0x59d06650, 0xfde9dd51, 0xf3a3e24b, 0xeab63ad0, 0xbd61435e, 0xe480565c, 0xa54cff16, 0x2cd4f602,
+    0x00000000,
+    0x950199a4, 0x20021cd5, 0x850fea39, 0x4a9dc52f, 0xda06d95f, 0x1a5c4f7b, 0x6bbfa064, 0x9d01cee9,
+    0x9ddf18db, 0x81b0dc04, 0xdc944484, 0xb56f8b3f, 0xad3c990f, 0x8ca411ec, 0x7f7074f6, 0xeb481b70,
+    0x594c1021, 0x45d9bbdb, 0xe70df2e3, 0xe76a9f78, 0x2ad6ff05, 0x8d8b4d2c, 0x100d4ef2, 0xa3ee2358,
+    0xb404782c, 0x36bf5bbb, 0x6784a616, 0x40676fc6, 0xbef5f116, 0x9824e7c6, 0xe6b02cef, 0x080aadd5,
+    0x54faaae7, 0x7e3c3c6a, 0xa59962c3, 0x719a8ce4, 0x8fab8daf, 0x28845512, 0x29976373, 0x7079552f,
+    0xdbc1fb6f, 0x014c6bee, 0x4e9df2b8, 0xb0802449, 0x488e3fee, 0x859a48f6, 0x178514ca, 0x571a1b31,
+    0xafb31e2d, 0x1b8b3203, 0xb457488f, 0x0daa3a16, 0xeb3788c8, 0xf83a0948, 0x423e58f5, 0xae1c51fd,
+    0xd8616b82, 0x5d6009ab, 0x8a189d70, 0x95b59b65, 0x0ef4cfd0, 0x71fe2f2e, 0x3dff049f, 0xedaa75d0,
+    0x23de0726, 0xc9d0a8a7, 0x82e62312, 0xac87826e, 0xeebe0482, 0x1ec62322, 0xe1a5971b, 0xa273f579,
+    0x2ed4087e, 0xca7d7bd4, 0x433a6379, 0x0cd51e1a, 0x8a73beb2, 0xdf32149d, 0x88729206, 0x1b531ff4,
+    0x6c7048e7, 0x2aa0a523, 0x579d979d, 0xb929eb0d, 0xcf6019be, 0xf93e0bb1, 0x0f6d6f6b, 0x324d9ccd,
+    0x5f4832e7, 0x9c454965, 0x9c0c8107, 0x05ae371e, 0x591965ac, 0x6e9a6f3e, 0x5cf5bda5, 0x54f97545,
+    0x4e40309a, 0x76487df2, 0xee019760, 0x37d9cabb, 0x0cced961, 0x7e223d76, 0x4e6fefbd, 0xd5011749,
+    0x3254ebad, 0xf5d20b59, 0x74ef9410, 0x8f5e8b15, 0xaaaec986, 0xfcc40875, 0x736a0199, 0x447019ca,
+    0xf31886b6, 0x46c58702, 0xc39aea26, 0x277dd146, 0x465df56f, 0x71733623, 0x373aa762, 0x16d29d45,
+    0x2ab5f4c9, 0x48e3b14c, 0xed3a3a71, 0xbb7e34d6, 0xc1f7f41c, 0x3661415b, 0x813ed0e4, 0xccb702e2,
+    0x8665883a, 0xf09e81bb, 0x78eda833, 0x00ed9952, 0x8f58bc9e, 0xba62192c, 0xc5ba4d70, 0xc32142b6,
+    0x56ba84ad, 0xc38597c5, 0x88793f1c, 0x18789901, 0x9bac86c0, 0x7ffb3603, 0x3f7efc73, 0xa0084401,
+    0x02ab119a, 0x0ba22514, 0xd969ef88, 0x3d00cd94, 0x2ffc79b4, 0x1ca9dcdd, 0x46a54e6c, 0x65fac1c0,
+    0x48b79bb8, 0x6fb2f828, 0xec7912b8, 0xedf90dab, 0xbbfff3a1, 0x04731df6, 0x3a3e5ce4, 0xdffcb35e,
+    0x4011242b, 0xfda80508, 0xadf976b7, 0x9bd6b11b, 0x1dfdea3a, 0x487d7502, 0x972887fc, 0x37e60148,
+    0x6e35b750, 0x7438a5d6, 0xa3f2afee, 0x54a2147a, 0x48f1e005, 0x495a4e8f, 0x1a586611, 0x3faf0545,
+    0x168527ae, 0x4cda6c0a, 0x4a1b50f0, 0x65c5c6bc, 0xa11eff50, 0x190ea3ac, 0x6edfd31e, 0x2f111fe1,
+    0xd51b5489, 0x7ac5baaf, 0xf6e56a4a, 0xfa4199cf, 0xac898549, 0x8784a075, 0x49ede63e, 0xa061af4c,
+    0x1f3fdb7d, 0x8184d620, 0x61fd9065, 0x43c43ca6, 0x1b50c250, 0xb6261e1d, 0x3657d93c, 0xb82fa055,
+    0x7b7ca2c1, 0x2a9a43c3, 0x734dec09, 0x18769cfa, 0x23bd2b04, 0xa8fdfd40, 0x37786646, 0x5b54c8cb,
+    0x32cb41c4, 0xbcb98a2d, 0x402c75f3, 0x77ebe324, 0x5887340d, 0xad288d7f, 0x047713ee, 0xbed7c8a9,
+    0xe01ff9d4, 0x00975119, 0xaca284c2, 0x84cdfd7b, 0x9471a82e, 0xf4586982, 0x708f1dbf, 0x5e35c4fc,
+    0x1312bc5a, 0xdbd15b37, 0x378cbe04, 0x58e7adfb, 0x6f675572, 0x79077113, 0x3007d6e8, 0x4f9d182c,
+    0x03b3161f, 0x766eefe4, 0xd3f01797, 0xd98a45a2, 0x81278336, 0xcff010d1, 0xc46c575a, 0xb71152ed,
+    0x4cd6a608, 0x425cd7e3, 0x732b7373, 0x1c199417, 0x34e12f53, 0xa619f545, 0x0dc15099, 0x44be224a,
+    0xad693289, 0x5b4a7b3b, 0x966c009b, 0x856aafd8, 0x52991a7c, 0xd8284aef, 0x780ea7a8, 0xb336ff54,
+    0x2697b9b6, 0xe0bb8c51, 0xc85d52a7, 0x13f16bdd, 0x311f2f90, 0x138983f3, 0x6ab051c6, 0x03a4d3d5,
+    0x34260d2d, 0x8e6cb275, 0xd959212e, 0xf70dc6a5, 0x88ad4392, 0x47e76f28, 0xc2a9c770, 0x505533e9,
+    0xf47d44fc, 0x9bc1cbc1, 0xbfe2de57, 0x2e616b15, 0x1f09bff9, 0xece7be3c, 0x78124c69, 0xbc8fd57a,
+    0xc342e31f, 0xf8a4e813, 0x2d3e8e4e, 0x83fab181, 0x5562ec30, 0x7d80e071, 0x8e1ed6b2, 0xc75424cf,
+    0x2ea0ff1b, 0xc0ac63af, 0x8147cb11, 0x61e26c7f, 0x8e2e9c1c, 0x28078993, 0x39f75d01, 0xfe9ace13,
+    0xdca1dab4, 0xc5476730, 0xd9544d32, 0x0e1928d4, 0xf59f5700, 0x1b7c6d5d, 0x5dcbb02d, 0x970a4a70,
+    0xed2c8a41, 0x120491d3, 0xa30ab4fd, 0x5563c124, 0x277677a3, 0x6a879449, 0x05fc9ed2, 0x7c481348,
+    0x10a8f4bd, 0x843fc9ef, 0x50a2f1f9, 0x8c7a8216, 0x500c5c1f, 0xe4aa7a87, 0x06bdb894, 0x86df15c1,
+    0xedcf489f, 0x7830371e, 0x730f4a7b, 0x81853d7c, 0x957fe326, 0x0cb45c03, 0x03d3da48, 0x77c396cc,
+    0x977ab747, 0x2d73bb02, 0xad993ea4, 0x497193d7, 0x734f215c, 0xa1af37a4, 0xee70228c, 0x54553a2c,
+    0xb8127937, 0x4e57bf62, 0x2f632ddd, 0x33b1e8d2, 0xee3e61b0, 0x95fba3c2, 0x919df5a9, 0xa1a12e5c,
+    0x2c466150, 0x8a00f823, 0xe0c2c8e9, 0x2c25c6b3, 0xa70245ee, 0x4e59ca82, 0x3828c1ce, 0xaaeed63b,
+    0x43549777, 0x10f352c2, 0x5c80439b, 0x47504da1, 0x150c76d6, 0x0b615e15, 0xab9bc8ec, 0x78ffc6ad,
+    0x9e236031, 0x6bae9f80, 0xf9ab4a6e, 0x53c347f9, 0x55230a37, 0x667e096f, 0x2ff58fc5, 0x16d26a3a,
+    0x0fe70c51, 0x6b541423, 0xfb65c710, 0x80716aca, 0x1a7ca4d1, 0x94e38d00, 0xc0d1bf36, 0x34c91ed4,
+    0xeb4e187c, 0xbb0cb54e, 0xb7955066, 0xa7694ed8, 0xe9f9433b, 0x75e39876, 0xe90ec307, 0xea4fdeda,
+    0x11eee671, 0x68d5f960, 0xb75d6fdc, 0xf18f7f59, 0x65c7b7bb, 0xd0d71ce1, 0xf35614c7, 0x6c34a69a,
+    0xd572e203, 0x34ffcba7, 0xd8bd7be9, 0x3befbb50, 0x57e0288a, 0x762cbe16, 0x07c6ac5f, 0xa180aec0,
+    0xb3fca667, 0x7a1cf6cb, 0x78c627dc, 0x0880bd9c, 0x286668f1, 0xdbefc9dd, 0x158d9b54, 0x4b1fea5e,
+    0x2381f83d, 0xbdcdfeac, 0xa3e92df9, 0x48f30a9f, 0x8ac3425a, 0xb998348f, 0x621cbb0b, 0x6f89bd59,
+    0x158a3df5, 0x8b80c4cb, 0x9de66e7f, 0x1210a885, 0x3ff4895c, 0x74aa42ed, 0x899420ff, 0xcc6f8bab,
+    0x4b3ceddb, 0xba76a773, 0xcd65316e, 0x061a5256, 0xfa208ef6, 0x429a2d02, 0x22a391c9, 0x8d83a741,
+    0x15cc3abd, 0x331201a0, 0x1a74f21e, 0x853aa347, 0x55cb2fba, 0xf3e74605, 0xb3b9617d, 0xa29acf32,
+    0x478c9ef4, 0xf856c988, 0x9f11e89d, 0x20ecb540, 0xf0d389b5, 0xeca3084e, 0xf3a1aa63, 0xb378efaa,
+    0x621bebad, 0x4763d0e9, 0x8ce4be0d, 0x056d1d9e, 0x04343543, 0x5db54856, 0x84581cb9, 0x5dfd6abc,
+    0x13fa5e5c, 0x9da23d6b, 0x9508ef48, 0x323dcfa4, 0xd5746cd9, 0xdef56b2a, 0xaddd13f5, 0x8bc47a06,
+    0x847e530c, 0x7e6c942e, 0xaab88c16, 0xc0c02de6, 0x40e9800d, 0xf254d68e, 0x7a0eeca1, 0x67f466f9,
+    0xe8e22bb5, 0xbdbabdaf, 0x062473a6, 0xf710fbff, 0x0fa367b3, 0xd06d722f, 0x306d3c56, 0xb9b8e192,
+    0xf17f8378, 0x5fe41d5c, 0xd67e6410, 0x03b9e937, 0xa6f2e3b4, 0x0a6f89f5, 0xbb45646c, 0x66415b6a,
+    0x68da3f26, 0xc122727e, 0x5f060d56, 0x8f798f4b, 0x51738f21, 0xa1ef90c4, 0x17927e9c, 0xf92d113d,
+    0x5b61e1fc, 0xd3c890c1, 0xf35a98f4, 0xdd6da5d0, 0x8751f8ea, 0x0c88bf2a, 0x9383ae6e, 0x4339f41c,
+    0x430f12fd, 0x92bd5944, 0x3fa44959, 0x3057de2b, 0xb95e4173, 0x292ca241, 0x7f7fb0db, 0xbec967aa,
+    0xc8f8cfaa, 0x19c15ddd, 0x5896f463, 0xac287130, 0x4fe44927, 0x31d933bd, 0x8ef30954, 0x13c26b81,
+    0x612fc984, 0xb39c9155, 0xd6b3fcf0, 0xa9c88536, 0x5751cfea, 0x21d5294f, 0xc4ba7b52, 0xc43d6a3f,
+    0x53c0f58e, 0xdeb4a4ec, 0x818ff1cb, 0x05b5aae6, 0x75fd724b, 0x20fdc6ed, 0xf7ac35ae, 0xec171fee,
+    0x6e9e8355, 0x853fc1cc, 0x81a7bc50, 0xa6ce87ac, 0xfc49dba7, 0x98a25bf9, 0x4f32b48b, 0xe12a6a5d,
+    0x3038589d, 0x771ed5c6, 0xdb741f9c, 0xe3991df5, 0xc6495444, 0x3bc8979f, 0x86c5de37, 0x0888d22d,
+    0xaeb6e5ef, 0xded6c6b2, 0x99f18fce, 0xd76b9a7c, 0x6ccd04b7, 0x0331b43d, 0xed078f55, 0x8042968b,
+    0xda9fce36, 0x0fa03f9b, 0x50c7a250, 0x57acd462, 0xfee2bbd6, 0xb93c5ca0, 0x940dbdca, 0xea93ca4c,
+    0x840701b4, 0xb5f6de26, 0x174c42d2, 0x6792b270, 0x4ee748d9, 0x9c65ae18, 0x9454764f, 0x9a246991,
+    0x536a7126, 0x29ad8597, 0x410f876f, 0xc4c1e929, 0x763baaf8, 0x46558a37, 0xd08715f4, 0x3b2b5ef3,
+    0x93e5ecca, 0xe20a2529, 0x99f9dfa6, 0x09e4c9c2, 0x2facea1c, 0xceb61871, 0x874d874a, 0x98927d06,
+    0xe382c028, 0x29cb6bd5, 0x5d4f4c38, 0xb0028a16, 0x9f524e35, 0x9d49ff14, 0x73957631, 0x3e769e0f,
+    0xe83774c6, 0xd1eb0fd5, 0x2d0bec4a, 0x82a79a2c, 0xe0b37156, 0xd62d9292, 0x4d6bb78d, 0x50804073,
+    0xd3532c92, 0x96781234, 0x8df4ea61, 0x0f90be4a, 0xb2845b9e, 0xa875f693, 0x09991a75, 0x4e84a078,
+    0x2b25cc07, 0x14f5688b, 0xa266369e, 0xe3e20c9d, 0xa850aea3, 0xbf459b87, 0x886ef825, 0x3117a155,
+    0x1978252e, 0x529d7ed2, 0x45362d58, 0x8fd94626, 0x9299fcd2, 0x720c5e04, 0xf2651b75, 0x1123610d,
+    0xf46c6bf6, 0x57f5de4d, 0x06eb4f18, 0x93b6796e, 0x3b9f34b4, 0x69a17116, 0x01a2d849, 0xd0046ea9,
+    0xdc8ba9ad, 0x309cfa1d, 0x2efa1650, 0x2c7ef296, 0x2a87f33c, 0x4a4ce129, 0xd715679d, 0x6a6dceb5,
+    0x4733056a, 0xdde34d17, 0x015e4d8a, 0x0626943b, 0x90981a69, 0x6128f6c4, 0x0425ad3e, 0x0ea081c2,
+    0x299d5561, 0xc0bee775, 0x4ad94efd, 0xea3875f5, 0x45829fd5, 0xfdd23fef, 0x31158f2e, 0xe6d4829a,
+    0xd7941290, 0xc1de69d9, 0x1d0f2037, 0xf4c7e90e, 0xb2e27b44, 0x60941e6b, 0x28a6b913, 0xb8ce4711,
+    0x4d85a150, 0x6e6e48f3, 0x5a8cddc9, 0xbece6c94, 0x0fcc6909, 0xbd089092, 0x680fef91, 0x13c6c8f2,
+    0x2436eb32, 0x36d5464c, 0xba413a55, 0xbd7103c4, 0x7d7e4246, 0xad0ab6ac, 0x02b39f59, 0x7daa2865,
+    0x9ac489c3, 0x786de409, 0x737849fa, 0xcefa53c9, 0x795c742c, 0xd8e3d608, 0xdbf7b599, 0xeeb6cafb,
+    0xfef54f74, 0x1d93e2d9, 0x3019bdd9, 0x6492a7f5, 0x4c267999, 0x3a7eb6a4, 0xc391a253, 0xa384ba13,
+    0xdff4cd53, 0xcebb22e9, 0x6bdbdd85, 0xb1dafb73, 0x59445c9d, 0x711dc796, 0x20a45c37, 0xd56023de,
+    0x6b599b54, 0x81d89d08, 0xfb32bb6d, 0x53a36540, 0xbb599176, 0x6cff0139, 0xadced533, 0x4ab5d0c3,
+    0x861d2448, 0x0f9c3191, 0x5de8b204, 0xb9a49138, 0x68e27f96, 0x3d21aa56, 0xc88f012c, 0x6a062c39,
+    0xcb2b0862, 0x64ae0421, 0xe8d481b5, 0xa5ea7287, 0xe144001a, 0x7e35f818, 0x236e7676, 0xec999673,
+    0xe1be6d73, 0x94be946c, 0xc335089f, 0x9d10bc80, 0xb5bb8c78, 0x07472230, 0x56ee33b5, 0x3418bbcd,
+    0x7699f894, 0x20be174e, 0xf89a9134, 0x3fddc1f9, 0xa824faaa, 0xc9563207, 0xa9d5ac98, 0x544de38d,
+    0xfa390296, 0x272a011c, 0x82224aeb, 0x7a9a4f80, 0x1f846a19, 0x30ee53ae, 0x0d93a233, 0x031e4acb,
+    0xd54888a5, 0x114347d3, 0x03cee732, 0x85b0ce20, 0xcd78d095, 0xae262f4c, 0xa2f11759, 0x31afd109,
+    0xdae5f135, 0x682ba400, 0x18f4f657, 0xf4c2f124, 0xe0930e81, 0x3b215e23, 0x61835f67, 0x18f80530,
+    0xb30b21ff, 0xd5d1020d, 0xd868ce2b, 0x0039b3ca, 0xefff793c, 0x65787493, 0x7f854c2a, 0x31e27472,
+    0x3a3454e2, 0x8d347275, 0xff0775d3, 0xbd87f6ed, 0x20136b6a, 0xa63ababe, 0x21403237, 0xc0b1fb1e,
+    0xb5fd158f, 0xf62ab16b, 0xa4c36f4f, 0x06e550e8, 0x77d777b0, 0x9b60474f, 0x2920945d, 0x38b67202,
+    0x3989cc2e, 0x842ee454, 0x384209c9, 0xe8e90581, 0x7cfe8c8e, 0x18696695, 0x5dfeadb6, 0x8d9d41c2,
+    0xda988599, 0x5b013578, 0x5fc7aaac, 0x2d121991, 0xfd1da37d, 0xb60bee74, 0xa3b68152, 0xd81b00b6,
+    0x47496348, 0xb62af3ea, 0x48fd68e4, 0x8d6e14a5, 0x2473c115, 0x84747e25, 0xa5d7abb6, 0x47bdf873,
+    0x0977fc80, 0x3a762bd8, 0x59ffabb3, 0xea0c6584, 0x8718758a, 0x987393d8, 0x30b3c13d, 0x6f6452e6,
+    0xc512c7c8, 0xba1b4da5, 0xeb6cdc94, 0xa9d8582a, 0x97481cdf, 0x3e12f23d, 0x6d67ddf8, 0x40ea9bef,
+    0x25f3e457, 0xdb6b980a, 0x17afee1e, 0x01e64e56, 0xc7555cc5, 0xd9001e41, 0x6c80187f, 0x9fbf7f65,
+    0x512c8152, 0x9c5ba077, 0xe32c5839, 0x1150dd37, 0x8c178bc9, 0xa5a9749d, 0x4c252290, 0x33fe5627,
+    0x6e3bfe75, 0x102e43c1, 0x5f6386b0, 0x548cfabc, 0xea13c4ad, 0xdde1f8fa, 0x4aa9f0bf, 0x590a3526,
+    0x98fc85be, 0x6ac10a5c, 0x8b5a28f9, 0xd09abe54, 0xbd444eea, 0x4b61845b, 0x82ddb208, 0x11213b1f,
+    0x28bba76b, 0x1158eaf4, 0x152812c6, 0x87da12fb, 0x2f70f6b2, 0x086ee6a4, 0xd82ce830, 0xc4db9c88,
+    0xd5a39f19, 0x7bcd087b, 0xe0797527, 0x92550ad9, 0xee76e51a, 0x8008894a, 0x20ba97c2, 0x2a8161ea,
+    0x9961fd17, 0xe9207ab9, 0xb6f52b1b, 0x44f5f703, 0x88bb8bb2, 0x84cefec7, 0x8159d4a7, 0xd45464fd,
+    0x0ffcb54d, 0x9d22e946, 0xd51c58da, 0x770742cc, 0x684a119e, 0xb38ab323, 0x8c77414c, 0x2857683d,
+    0xbeeaecc2, 0x0e1b4774, 0x9f51090f, 0xe3fc0d4a, 0x2625d9d9, 0x75c89f69, 0xcd8774cf, 0xa5736a9c,
+    0x81971cd4, 0xa5725e38, 0x34ed7124, 0xf82b0671, 0x44f04a2f, 0xbc5b2c55, 0x76230c9f, 0x18be157c,
+    0xcc798e98, 0x69d4ffc2, 0xda2855c2, 0xf6c2e185, 0x29a1be51, 0x79aeca3f, 0xcb725e41, 0x4ffd847a,
+    0x829e5044, 0x8984ed13, 0x6464ae1a, 0xfc610e42, 0x0a1cecb4, 0xf42bb537, 0x79dd1448, 0x1563a114,
+    0x361e3d1c, 0xd8491275, 0x0676e996, 0xb4ab1ea6, 0x7d978db2, 0x934f9a60, 0x44aa2ca0, 0x000ee1bd,
+    0x6fb90a4b, 0x7dd5d3c5, 0xba3b4858, 0xfa47bdfd, 0xc31df625, 0xe44c836e, 0xc89a0e64, 0x739ab529,
+    0x0cb9da46, 0xd3863189, 0x9dafc51d, 0xcfd60bcd, 0x53c59523, 0x588ed66d, 0x0d6ceed4, 0x82f5acad,
+    0xbc0f56fd, 0xef9ea8e5, 0xae3e0313, 0x14b31c4b, 0xc27a76d4, 0x2ca39da0, 0xdf4d3b03, 0x6cd2097a,
+    0x9678cef6, 0x7e1d7458, 0x01e9a5c4, 0xe7b2802b, 0x2f951187, 0xdd662d41, 0x4d8c672a, 0xf6055e0a,
+    0x9d6827ba, 0x110e0df4, 0x9c70fe20, 0xaeeebf6e, 0x94a7bd53, 0x6a00ecc1, 0x4c5025c0, 0x9c39afda,
+    0x74397bbe, 0x2a2cb944, 0x047fca0c, 0xf6056fee, 0xeaeb506d, 0xb365beed, 0x2e7fa0f6, 0x0374da1b,
+    0xe9492086, 0xc5187b13, 0x05cea4c2, 0xa20bf102, 0x42e6e068, 0x86cb892f, 0x08e17973, 0x9c7b6bda,
+    0x4770a25d, 0xef93073f, 0x98a34a24, 0x37ce339f, 0x21b1ad9d, 0xe8a867de, 0x451fe564, 0x31d0283a,
+    0x00000000 }, /* 10**00008183476519740354675032974242068997880541605115107661973708228420240334491\
+                         01168638720817523081476039287721671031890017752304314136471348263332131897344 */
+  { 0x00000000,
+    0x4006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173c,
+    0x2ce83328, 0x7ef4eea8, 0xf9d1f125, 0xf55b1d68, 0x5eb0a1af, 0x72402b2e, 0x52a67f8b, 0x166a7b00,
+    0x00000000,
+    0xc34f19bb, 0x3afd1cfc, 0xb1465278, 0x084859ea, 0xe6c06487, 0xcc47da4f, 0xbd009533, 0xe11153b6,
+    0xc7a44ab7, 0x67ab635a, 0x062f1f40, 0xda75b138, 0xc17af5e7, 0x7c5a4dc8, 0x17460eab, 0xc6a86762,
+    0x546f5033, 0x5878f7a0, 0x08e39dd7, 0x9cc5d192, 0xc2b0d477, 0x5d7e8be5, 0xab7ffe61, 0x41984c5a,
+    0x61f2418b, 0x848d3c30, 0x3046f735, 0xe67ee28d, 0xaa084c4a, 0xd318cb37, 0x6ab459d5, 0xd0ad3dae,
+    0x33c2373a, 0xb3469298, 0xba6b11bd, 0xe419f302, 0xd93740ce, 0x28afc6cc, 0x929f0568, 0x9e2dad23,
+    0x155d755f, 0x1433ff33, 0x34ae2462, 0x2518069b, 0x09c6083c, 0xa391ce87, 0x588cfdff, 0xb4a38e61,
+    0xf2137815, 0x22e60feb, 0x99bd7f87, 0x07af2ff0, 0x354cafdb, 0x9c9506b9, 0x1eb980f7, 0x4d9d30b4,
+    0x942d65db, 0x996443b6, 0xe6d24933, 0x9cd20845, 0xd36c7371, 0x158a9938, 0x286cb9c6, 0x4d94468e,
+    0x4adede44, 0x661b9b72, 0xcca9d7dc, 0xb7881120, 0xc8199c79, 0x4d59fdcb, 0x9f6677d9, 0x8ddc27a1,
+    0x55aaa470, 0xc09c3fb9, 0xa7a50258, 0x619838f6, 0x17bfdb71, 0x6815f686, 0x29bc5c3d, 0x74bb54a6,
+    0xd566dfa4, 0x342e2a40, 0x2f7514b7, 0x0c73042c, 0xbbbde4c0, 0x2ef2c7e4, 0xf09fea72, 0x4b51c34f,
+    0x25a6790a, 0x03b35d93, 0xa4c69759, 0xcd6e340b, 0x858e5ef4, 0x29330eba, 0xcfbc065d, 0x7e6cae73,
+    0xd71b828c, 0xa5a2a864, 0x059c4bfc, 0x97214525, 0x6ed2018e, 0x14259a5b, 0xb74a4eae, 0x6f48628b,
+    0x6cc58c3f, 0xed6eb4d1, 0x2ce5ebbc, 0x64af7a1c, 0x1cb8d062, 0x75b62ab5, 0x1f9ba86e, 0xb01c8cfa,
+    0xbde011c0, 0x38845c4f, 0x89763a20, 0x664e2bc1, 0x7fc21839, 0xe54605f2, 0xc1714a76, 0x81eb6ed5,
+    0xe70d282b, 0xb6de6e3a, 0xb15ec935, 0xf41ad3a1, 0x9161dbcc, 0x6b568572, 0x5c5491e6, 0x457bcadf,
+    0x816d99df, 0x567265be, 0xbbb3fd60, 0x5c7d5de8, 0x6949832d, 0x4cc6d095, 0x0fe6fe9c, 0x56f8073c,
+    0x7fdbfcc6, 0x7c104e72, 0x3fe2f60b, 0xa6e98b30, 0x83779ecf, 0x08535dd7, 0xb0cc54c0, 0xd3fcff2a,
+    0x88e24688, 0x7bb14fd6, 0x857246f8, 0xa0219f19, 0x84bc73e8, 0xf3ddf7e6, 0x9a7b74d2, 0xae365c27,
+    0x9c4a8e50, 0xaf5a659a, 0x0bdff1bf, 0x11ff0f3e, 0x77ce3afe, 0xe133ffd1, 0xc2bc7d9e, 0xd8602bc7,
+    0x2469769e, 0xb8f1f3ce, 0xbf5696b2, 0x659c6d82, 0x8d1b67b6, 0x8d588d7f, 0x8e984bb2, 0x3fd7f8dc,
+    0x81eb9ba2, 0x97039e3f, 0x2129ea80, 0x370e4f7d, 0x4e4ef964, 0x8fc32a68, 0x11d440dd, 0xb627d29e,
+    0x275db0b4, 0xd746fc13, 0x58f0c93a, 0x683ebf0d, 0xff8872d3, 0xa9f3bba2, 0xfe08e3ac, 0xee870f47,
+    0x02775f24, 0x167cb568, 0x3fb516ff, 0x3d7fb31f, 0x68f7dbe2, 0x84ace75b, 0x5a64a3ac, 0x30ab1bb4,
+    0x446b4eaa, 0xac9b7e96, 0x6bf45912, 0x72095613, 0x7075a650, 0x59733560, 0x3714badc, 0x49006b74,
+    0x18f2fd87, 0x1dbcb96f, 0x22ac0347, 0xcb122bb4, 0x10c37de4, 0xdfe8fd66, 0x26411b3b, 0x36f98b59,
+    0x02fca39c, 0xdd346385, 0x1b9fd7f0, 0xaad05c8c, 0x7085b488, 0xbea40cb9, 0xd2738c09, 0x981cd52f,
+    0xc1bb21e4, 0x94641be9, 0x28f4a8bc, 0x7c51cad4, 0x698ccc9c, 0xbc26e69c, 0x6d5377ff, 0x44c5d09d,
+    0x9ae428db, 0x9c4e0582, 0xef517e9c, 0x17c1c626, 0x4416f367, 0x92675a7b, 0x0af37657, 0x27d56d0f,
+    0xcfe01ccb, 0x637774d4, 0xdb62c1cb, 0x11e989af, 0x97648a14, 0xcd50ce51, 0xb2b7578b, 0xce7ba6fa,
+    0xcfd69d86, 0x0359c776, 0x9a76714e, 0x779a42d4, 0xe3177957, 0x383a6116, 0xa8267fc0, 0x516ac690,
+    0xbd759d04, 0x0552097a, 0xbd16abe0, 0xefa34632, 0xd115048a, 0x8795abef, 0x8940a09d, 0x9358ded2,
+    0x0536a64c, 0x0cd62d41, 0x31fcfdf9, 0xd3bb48c1, 0xa8b7e368, 0x3cbbcabf, 0x5e24be23, 0x5e01a9c2,
+    0x9be9d4d9, 0x66ba2003, 0x5ea67e51, 0x4fc4b826, 0x4d7e6faf, 0x7bf84025, 0x5b2349b9, 0x433e2fe3,
+    0x53112327, 0xd37e68b3, 0x6d8e6027, 0xd09dadee, 0x7440378a, 0x8d21ac79, 0x68e437ec, 0xfc269c18,
+    0x40d1e97e, 0xff491f39, 0xb0efd7b4, 0x88cb1420, 0x60ec4a4f, 0xa99859e6, 0x67b673c1, 0xe63befd5,
+    0x0ee62f14, 0x1ae44086, 0x847eb4ce, 0xb7dc0cd2, 0x5930bdaf, 0xd6ab22dc, 0x0e3334d7, 0x908d73ff,
+    0xa91deb83, 0xbb22a201, 0xcce2974c, 0x4c158c9e, 0xba7f2b36, 0x0366d51f, 0x54d98214, 0xb235aabb,
+    0x560de6c1, 0xaf81fe65, 0xc9110e9c, 0x0b635132, 0x7ee42df0, 0xeab5f6a0, 0xbc60bfd6, 0xc308722a,
+    0x19777524, 0xf9eeee88, 0x3e5de6e8, 0xf192aa4a, 0xe2b35554, 0xeae87df1, 0xe9199340, 0x310c8eb2,
+    0xb09a384c, 0xd01c0919, 0xf9dc04b5, 0x8be65665, 0xa92c1b8b, 0xd8ea9cc6, 0x5563a14a, 0x7a0bd438,
+    0xbbf1cb15, 0x51bf709f, 0x8f81a5a8, 0x4ed5b81d, 0x344fb440, 0x3d5f20cc, 0xa2296385, 0x6a6d71e6,
+    0x91bb8b55, 0xea69743c, 0xe6d97ad1, 0xb904d4c1, 0x357707e9, 0x3b7f4c23, 0xb86aa1c5, 0xac69ced5,
+    0xb17c48f8, 0x46755c65, 0xcd5d2a60, 0x95036e1e, 0xfe8dd2f0, 0xee54d0d2, 0x3bbefda9, 0x78f46b21,
+    0xbd94f644, 0x16a9c0e1, 0x603d3e4b, 0xcebe3f3d, 0x31b9859e, 0xbc1984a5, 0x8806e6eb, 0xa109556c,
+    0xded04f00, 0xf63d6f80, 0x4be6157a, 0xa38f01f6, 0x884fdcb1, 0x361a169b, 0x42bf22cd, 0x790c9de5,
+    0xab92d245, 0x39f55f98, 0x318f0c4c, 0xdd21d536, 0x37912c57, 0x1838fa4c, 0x4028f4d9, 0xbba15f15,
+    0xeb9b378d, 0x5b2638ad, 0x42a8cd4d, 0xd360b957, 0x896cfdce, 0xe871e9f6, 0xccf8ff26, 0x5fb96f9c,
+    0x881f716d, 0x0c00ded7, 0x78704765, 0xc063500f, 0x120f1e2a, 0x339d5fc7, 0xa81716f3, 0x48da7705,
+    0xe66699ac, 0xc5b27c3e, 0xdda23ee3, 0xb3846be3, 0xb1612bca, 0x025447a3, 0xdef96d27, 0x023a4f21,
+    0x156f861d, 0xc55f5dc8, 0x72d554f2, 0xc10fd0a0, 0x02de7dfb, 0x4a6567be, 0x9ffbe2fb, 0xdca6acb1,
+    0x7a28e4e9, 0xee9a30d0, 0x2e939758, 0xd4eb6dd4, 0x129fee26, 0x3b24584d, 0xc97c2d53, 0x0254ad61,
+    0xccf86b29, 0x632ecdd1, 0xb0c99f5a, 0x4217593d, 0xd2e6c9c4, 0x456a3159, 0xa3e5c6f3, 0x687a70c9,
+    0xb5002e56, 0xf3f0c919, 0xd174db39, 0x995713e7, 0x2215b18a, 0xf234399e, 0x26446665, 0x3d527958,
+    0x5905d815, 0xd1bf0e30, 0xcfd1e629, 0x3337e1b9, 0x7d375745, 0x943ee852, 0xa0c5851d, 0x54accd17,
+    0x54463680, 0x5f033020, 0xe6fc5bf6, 0x6157a3c6, 0xe70ab5d5, 0x20c3ae36, 0x7d98fe52, 0xecd1e04b,
+    0x35c7dfaa, 0xe0ced0e7, 0x3bf60bc6, 0x92c795e2, 0x24551b6c, 0x4c41f4a7, 0x19a12741, 0xc208d289,
+    0xf1b4254d, 0xdeca32a7, 0xb8a5718e, 0x04d3bc63, 0x44d1ab8c, 0xb8cfa976, 0x10f2721e, 0x488a1650,
+    0xff3422d5, 0x88e5fff3, 0xbdbec8a1, 0x6eb958ee, 0x497b733a, 0xb7315791, 0xf386f476, 0x1342193f,
+    0x1d5abe15, 0x3e3f5a97, 0xab026999, 0x3fee714a, 0x0b4ce6fd, 0xddd60662, 0x8af7fd8d, 0xd35f6398,
+    0x4e68cf7d, 0x7f3f11c0, 0xd85379ab, 0x02214109, 0x99576ac8, 0x27c04de2, 0xfe4cc6d5, 0x43732f21,
+    0x842bb1d6, 0x0d2d93ee, 0xd9b6e352, 0x136dfaea, 0xa661a943, 0xd74fa20f, 0xa20c533e, 0x5f61cd5d,
+    0xf457f443, 0xf9ea5d96, 0x61703ab8, 0xec99f902, 0x28516940, 0xb6702633, 0xa3bd55ea, 0xef3fd5f9,
+    0xa2441da6, 0x04020b15, 0x7452f247, 0xfe0e8a95, 0x56300174, 0x65f3ce4e, 0x3ffed07c, 0xc9c768e0,
+    0x6580b174, 0x00700acd, 0x9eb47185, 0x20118c63, 0xb18498aa, 0x327d9cef, 0x33bdf28a, 0x95fed26e,
+    0xcc1ed2e3, 0x2fcca966, 0xf437a187, 0x5c3b93f4, 0xfb2699b0, 0x6145a1d2, 0xa951e94d, 0x9e12b796,
+    0xd044c3eb, 0x291d4242, 0x441474bf, 0x00732efd, 0xcaf7f3f0, 0x5cd45d05, 0xbc02632a, 0xffbb0dee,
+    0xf7f9f521, 0xe7eed0ee, 0x4091a23f, 0xbad0a376, 0xa612c24f, 0x1bf085a6, 0xd32d438f, 0x6091bca1,
+    0x587e3c6e, 0xcaaacc1a, 0x7221b1d5, 0x97fa5f4b, 0x06e6a532, 0xbabfcd42, 0x357af289, 0xf046b1cc,
+    0xd9eb2e50, 0x88123900, 0xf4585edb, 0x95424ae1, 0x111a4af4, 0x05374647, 0x3cc951ef, 0x43efc7f2,
+    0xab9bc082, 0xe275d6f8, 0x3deb0759, 0xd4fbb1d6, 0x94db282a, 0xe108f970, 0x747de291, 0x7b04c80d,
+    0x4c056e48, 0xde3eca2e, 0x46d7d128, 0x80f9f3bf, 0x9c144dc3, 0xcd0d5db1, 0x0c607c0e, 0x0b9825b4,
+    0xe46efb96, 0x20306d9e, 0x84b407f6, 0xbf6326de, 0x7bb7c0f8, 0xb7015839, 0x371560db, 0x6aaf44e3,
+    0xc9ac8ad2, 0x07685216, 0xc3640172, 0xf4dd0ac7, 0xa226c358, 0x4f7181a0, 0x8fdcb017, 0x86871395,
+    0x22387253, 0x689adc34, 0xd29b2a22, 0xb2671a70, 0x1dfd2271, 0x723803f7, 0x9f0625e5, 0xcfe30695,
+    0x512b261f, 0x172bff0e, 0xc741dc7e, 0xb44c4f57, 0x189bdd54, 0xb46419fb, 0x162b44b7, 0xea0aa804,
+    0x244919f6, 0x79d7beec, 0x8b0778f1, 0xe03f53d8, 0xaff5dc22, 0x812e3c5f, 0x3dcd8018, 0x994ec0a6,
+    0xc5d9a1cf, 0xef6fdb91, 0x3d5fd76b, 0x904da3dd, 0x944fe9d8, 0x3ad2ff52, 0xf43548ea, 0xd2849646,
+    0xa50e27d2, 0xa4e842fc, 0xa0632c75, 0xc522464d, 0x61340e98, 0xa85f68ca, 0x0fc0a594, 0x79fd5d10,
+    0x156cc7a3, 0x8af90d98, 0x67c293b2, 0xa62b73ca, 0xc3db6dff, 0x48fbd3c6, 0x6d0fa5df, 0x255dd41e,
+    0xce872690, 0xd73ebdea, 0x0ccf06ad, 0x8a25e29c, 0x29a01a91, 0xb45b47a5, 0xb5d626da, 0x05a4183c,
+    0x0e8cfe62, 0x32ddef45, 0x807947d6, 0xd2528daf, 0x13c8970c, 0xcc2ec93a, 0x11dcd288, 0xf1d3568e,
+    0xda6b6479, 0xe591d410, 0x1036e83a, 0x6d528752, 0x27a38f43, 0xdd772061, 0x3d0c477c, 0x980eb8df,
+    0xafe08256, 0x8cb8c4fc, 0xc93d7647, 0xef51e01b, 0x7c585240, 0x8bd28426, 0x7d9ae968, 0xe5ff4017,
+    0x6959ad79, 0x7e03823b, 0x68dc7d6a, 0x90e370c9, 0x96b5e158, 0xcb952218, 0x7120e784, 0x627448fb,
+    0x9054571b, 0xf46b0b41, 0x39d02e55, 0x9ec21164, 0xc1a6f200, 0xc7cf1baf, 0x9d3ae96d, 0xb690501b,
+    0x382a1895, 0x26bb351e, 0x02368270, 0x0dca6845, 0x0d2d18e6, 0x103b3ffe, 0xdba9eeff, 0xca40818b,
+    0x3c451703, 0xf1e13b29, 0x0e330774, 0x1823c11d, 0x28f3023c, 0xb6e77386, 0x0bffb670, 0xafb102b5,
+    0x293415e3, 0x0e986545, 0x5e877622, 0x163f66cc, 0x75701bdd, 0xaf5ab84a, 0x20fd5055, 0xb08edeec,
+    0x41bbddac, 0x86e4d24c, 0xadbe1c28, 0x22e73aba, 0xaa04ea95, 0x3398c17c, 0xa75f07c8, 0xa48e23b0,
+    0x695f8ff6, 0x73d9fff4, 0xc2422516, 0xaba90516, 0xedfe53f5, 0x4cd9223a, 0x7e6081b6, 0xc8094da0,
+    0x9783ff52, 0x7d2ce410, 0x68235cfa, 0x31c90fac, 0x7c74d9db, 0x028f1ddf, 0x098d7c3e, 0x4c63d542,
+    0x82ce85db, 0x61ec77e4, 0x4fe47af9, 0xd7340fe7, 0x9a6f826a, 0xc22cec90, 0xf02cfab6, 0x66267f7a,
+    0xad189a47, 0x6e42ab4d, 0x9171f109, 0xf96d9902, 0x8932ab63, 0xc0fcd60e, 0x8147f13c, 0x0e877646,
+    0x880c7b58, 0x7bb349e2, 0x3a912cfe, 0x4f201fae, 0x27bc0851, 0xe0fffc28, 0x7f2d4db9, 0x9ae8c4a3,
+    0x40d2624d, 0x37d386be, 0x6f0c3250, 0x42b3eeaf, 0x4f0630fc, 0x116addcd, 0xc56f7adb, 0x1a9b3e2a,
+    0xaedf4a1f, 0x6c316d86, 0x3fff5214, 0x9c39c224, 0x80a6e42a, 0x543357a7, 0xcf97fa75, 0x6a1f65af,
+    0x03d0f1fc, 0x702111be, 0xc9415976, 0xc0aff0bb, 0xa3588993, 0x9555224b, 0xc3c954ed, 0x637ba241,
+    0xe3dcacbc, 0x7b3d1c99, 0xd0e4bb4c, 0xd9ab0179, 0xb0cd2b7c, 0x12ec1b07, 0x9725d2d1, 0x1183b06b,
+    0xb7dfac8c, 0x8ff6133a, 0xea65e1a5, 0x5fcb9eec, 0x4732483e, 0x675f001f, 0xf15863c2, 0x62127994,
+    0xd8c40963, 0x0b1dcd16, 0x171daa17, 0xca0e2303, 0x413644d7, 0x0c681ff2, 0xfdd108fd, 0x2652ea72,
+    0x5357a54c, 0x24f31855, 0xc60900eb, 0xbf324614, 0xe3a076b7, 0xa4bf8e45, 0x031df4ae, 0x6d2fec27,
+    0x15ddeb8f, 0x22278ac6, 0x32433773, 0xedc717a2, 0x65ae8685, 0x244b51a0, 0xaaa450fe, 0xaff4e565,
+    0x9d75129c, 0xe5ac0a95, 0xeb6e9fbd, 0x3afbc676, 0xd2596d7f, 0x6047eea0, 0x5286d4c8, 0x04650d8f,
+    0x5be8a7de, 0x256bc702, 0x72f7b067, 0xdffaf7c5, 0xef5ce760, 0xf7e87bf4, 0x0dec8252, 0xeef11056,
+    0x88b7f45f, 0xb92b0eb1, 0xfa075eae, 0x77414431, 0x1ce492f4, 0x1c66fc19, 0x0e1453b3, 0xb68bbdbb,
+    0xcadc4316, 0xbc938be5, 0x2c5c2c7f, 0x3d3dc584, 0x70cead1a, 0x7638dff2, 0x90fc7104, 0x6033f5db,
+    0x75f5c707, 0xbca34e3e, 0x39f32991, 0x2d69f97d, 0xe8aec5a7, 0x404c83a7, 0x2ef96588, 0x167c77d0,
+    0x110d906f, 0x1e32bc47, 0xc870e0ee, 0x473eeffd, 0x6fc6e595, 0x7a8c9939, 0x766253cd, 0xda16e964,
+    0xc9ad9d8c, 0x7d5ede66, 0x6e840ad9, 0xcbfc0a89, 0xf6c62090, 0xe3a05964, 0xc89dcd23, 0x20a822a5,
+    0xf9c91997, 0x86598280, 0x63135798, 0xd7429425, 0xbd114bc2, 0x1c069d09, 0x4d12d83e, 0xcac6b540,
+    0x5f68686c, 0x1279f268, 0x8f1e2fcb, 0x0d9f65e8, 0xd5b0c4d3, 0x76deb928, 0x986998c4, 0xa61af35d,
+    0x672887f8, 0x80ba8ca0, 0x16afb4c8, 0xb7511437, 0x9c3f9a79, 0xdbfbfa6a, 0x391a8498, 0x273b7b54,
+    0x6935b15b, 0x65525cd2, 0x6d9da6ea, 0x5dcce7b7, 0x618aafc5, 0x2218cb1a, 0x961927c5, 0x5b67f1d7,
+    0xc7416d9f, 0x09db5446, 0x2cf31961, 0xa070415d, 0x06853a38, 0x00f3f5b5, 0x4c00275d, 0x5a034e54,
+    0xf396b443, 0xcb594f7d, 0x0e683bff, 0x91fea29b, 0xaf1c7192, 0x828c1d83, 0xaf408914, 0x7b5011b2,
+    0x76103c51, 0x7d6adc7a, 0x77390888, 0xcc909185, 0x45572fab, 0xd6944c7c, 0x4819d30e, 0x8a1ec0cd,
+    0x5b38128d, 0xd102e5f4, 0xe0a2ba3f, 0x241f1a56, 0x8e400fb0, 0x5ef9335b, 0x863ffc73, 0x8d3a0aa5,
+    0x5f534332, 0x3f1cf93a, 0x75b05251, 0xdf03b97f, 0x08c5bd39, 0x55bdd551, 0x40cf46ca, 0x7012ccf0,
+    0x0d11efbe, 0x4382dc48, 0x5354b9f7, 0x4c176174, 0x09e554fc, 0x8b73ccd8, 0xdf54f40d, 0x6233d565,
+    0x930246d9, 0x2e66d290, 0xc11f3a05, 0x53c3694f, 0x89565742, 0x6025181e, 0x1aea97f7, 0xa36d53da,
+    0x5fb8440d, 0xed72891c, 0x99eea045, 0x4e2b26d1, 0x006e2a91, 0x3b84ae6b, 0xfd6a477b, 0x211cca4d,
+    0xcc7a2446, 0xb5801472, 0x0b2c3294, 0x304f164e, 0x1a6e8c0d, 0xcba26c25, 0xdfa29d25, 0x9b294f93,
+    0x3e8e19ab, 0xab89c24e, 0x3fe4ad9d, 0xc0519e8c, 0x0d397760, 0xb4b39bff, 0x07700e2a, 0x52efae0b,
+    0xe008e3b2, 0x0db382b4, 0x4f1450a3, 0x86096595, 0x0c478054, 0x2145d8d1, 0x409b05a6, 0x94844a77,
+    0xe0239dde, 0x54653654, 0xf2804dc0, 0x131e57ee, 0xdf038361, 0x13ec1c0e, 0xc5d9b289, 0x6cd4b425,
+    0x00000000 }, /* 10**00004091738259870177337516487121034498940270802557553830986854114210120167245\
+                         50584319360408761540738019643860835515945008876152157068235674131666065948672 */
+  { 0x00000000,
+    0x40035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9e,
+    0x16741994, 0x3f7a7754, 0x7ce8f892, 0xfaad8eb4, 0x2f5850d7, 0xb9201597, 0x29533fc5, 0x8b353d7f,
+    0x00000000,
+    0xdf9ad348, 0x85f1d70f, 0xe1e247c1, 0x267caa61, 0xf1074f4a, 0x9f21ec80, 0x1fa787ea, 0xd3915545,
+    0xed827f4f, 0xee7379f1, 0x68860609, 0x0d03547a, 0x38348b83, 0x4421f58d, 0x10ccb6c4, 0x6e1fc740,
+    0x572ac360, 0x077f159c, 0x16f90d5d, 0x50a37044, 0x75b8139d, 0x9307ece0, 0x571a5c8a, 0x605d6915,
+    0xcc844b50, 0x81765941, 0x3e73bebc, 0xfb2177af, 0xb094dc31, 0x91e20f57, 0x55b67ee2, 0x109d62be,
+    0xa21d2467, 0x08cac089, 0x919e5438, 0x464eb205, 0x524f0f22, 0xabf5e662, 0x2ac513c0, 0x4d2283e9,
+    0x38dbdcfe, 0xd7720ebc, 0xb913a5fc, 0xccc21b0d, 0xebdfd2ca, 0x93429e62, 0x5f1090f7, 0x15b47800,
+    0x0d882172, 0x514a8d5c, 0xbec3f495, 0x1ad00b5f, 0xa1b1ca1b, 0xfd6a62ba, 0x4bfcd913, 0x40c19465,
+    0xce4963d7, 0xfc072b7e, 0x43d115e0, 0x28bf50de, 0x7f8e2db7, 0x9dad7c87, 0xcc213d31, 0xde80a03f,
+    0xd576c531, 0x9a7557ad, 0xfcb42643, 0x5e8db167, 0x081a0118, 0x7212b33d, 0x8131278c, 0x146d3598,
+    0x5561d862, 0x1379adf3, 0xf2faa7f4, 0xe8eb0188, 0x46811126, 0x376682fe, 0x6aaf313b, 0x9d6667e9,
+    0x9d7c9fd1, 0x3e0dbfe6, 0x1b9142ab, 0x976b1f16, 0xc00e140c, 0x088a5854, 0x56232bac, 0xf0dbb0f0,
+    0xd726d3c1, 0x89e6b259, 0xc8d21ae3, 0xe8b37841, 0x23707ac9, 0xd22303bb, 0x7afae45c, 0xd4419d18,
+    0xd2ac4522, 0xd077c8d4, 0xfb54a243, 0x4b695d8a, 0x9e7a8d53, 0x1ff1c486, 0xd2d7953a, 0xc9e821aa,
+    0xe795cc5e, 0x60fd5f5f, 0xc731fafe, 0x114ef4ca, 0xe6933765, 0xdc001b8e, 0xed227df9, 0x36a17fb4,
+    0x24d818b8, 0x1b130189, 0x9c182a68, 0x87f27355, 0xaf2735b0, 0x1d8913a6, 0x2434a083, 0xad46b9f6,
+    0xc315c21f, 0x91805bea, 0xb182b947, 0xfdfc92cc, 0xad5338ae, 0x8adb5c6e, 0xe278ec83, 0xa59ac587,
+    0x37a6a3e7, 0x7caf958f, 0x7e653404, 0xb96fa09d, 0xffb82c4a, 0x9b6d5c4c, 0x1b25e485, 0x9ef26e80,
+    0x7f42fc17, 0x5f5dd5ce, 0x881502bf, 0xdec795b8, 0x3eae5368, 0x56311693, 0x33796d4c, 0x0b46da3e,
+    0x06a107c8, 0x0ced2dbd, 0xb3d25c4b, 0xa1f24923, 0xa93cd1e8, 0x3142eab8, 0xf269adac, 0x05bacf15,
+    0x1caea94b, 0xe5f89d67, 0x34d6de09, 0x037e44ab, 0x8f4c56e0, 0x33afb75f, 0x233b1569, 0x3f8c0a25,
+    0xfe8e4e16, 0x161584fc, 0x6184a7b3, 0xbec64337, 0x81940ee5, 0x1f0cb982, 0x504511f9, 0x9cd1ab2e,
+    0x2d99f8d2, 0xac5c00ee, 0xa6f8c126, 0xbafa2858, 0x1912317d, 0x2b237c55, 0xe1957d8a, 0x136cf88d,
+    0xa669e6e5, 0xa652161e, 0xed50194a, 0x5abba598, 0x1817c3f4, 0xd810ffed, 0x628c4152, 0x2702eca2,
+    0x9b198f84, 0x1b8cdffb, 0xddadbfcf, 0xbe52248b, 0xdce35474, 0x40cc1a27, 0x077b57fe, 0x9ec608fa,
+    0x4c458631, 0xce99f9ab, 0x4eaa9c1c, 0x76fc9f78, 0x6115c9e2, 0x7c7f072f, 0x90349182, 0xcc5bc4f5,
+    0xf9790c98, 0xe12f5fa3, 0x83089118, 0xdc6eed7a, 0x3d669c5f, 0x26d7116b, 0x83143a4c, 0x375666a7,
+    0x4326a5e9, 0xf565942c, 0xd3f847cd, 0x9333a9c9, 0xd149c999, 0xfca08eb5, 0x9429a09d, 0xf0177f79,
+    0xef3e15d6, 0xd41200f9, 0x8b4f371f, 0xbfa82303, 0x8eb4f794, 0xb415e662, 0xc78fc241, 0x0a49706e,
+    0x6ed85a3d, 0x9a14872c, 0x0e5abe23, 0x133a2d12, 0x295c44db, 0xdae5721a, 0x53701e62, 0x180275cf,
+    0x12d1ca1e, 0xd8b239be, 0x7bc9d220, 0x0f2050fb, 0xff1740c7, 0x12c265c3, 0xf791b199, 0x123ea9d0,
+    0x756f5474, 0x39e86da4, 0x272172ae, 0x4145b029, 0x867364f2, 0x6817fe61, 0x0ef65585, 0x134b74ce,
+    0x17ff3018, 0x28155e5f, 0xfd748a2a, 0x302687b1, 0x9c7ecc0b, 0xcbf1317a, 0xeab5070f, 0x88a97b17,
+    0x09cb399a, 0x57543962, 0x9fd95b55, 0x961eff87, 0x1f6c1145, 0x361259b0, 0x29529adb, 0x7d6d6927,
+    0x35f248b4, 0x65b4942a, 0xb149afb8, 0xd3d45db9, 0x51f972df, 0xd97f5433, 0x4e87d72c, 0xb83071bb,
+    0x7a70295a, 0xd12728a7, 0xdf395dea, 0x27cff546, 0x3bd263b9, 0x4dced2c5, 0x5b2c2977, 0xb56acdd5,
+    0x3c32fde3, 0x6180d63f, 0xc95ff7e5, 0x127326b8, 0x5ca0fa23, 0xd58a5e6a, 0xb73ae296, 0x68f4aacd,
+    0x77222ea1, 0x80db0889, 0x2ea02c0f, 0xf2e5feee, 0xcf30b6cd, 0x5c356ece, 0xd3ed4baf, 0x7d5b7429,
+    0x3a7a3524, 0x2d134f29, 0x98f14ef2, 0x2d027b45, 0x2ce353aa, 0xe13d7d40, 0x207032fd, 0x8560eb5e,
+    0xdec8b852, 0x475284fc, 0x36358a67, 0x9b8dfcea, 0x03dcfe9d, 0xad8a68f3, 0x4fcfe21d, 0xd5759de6,
+    0x673457d9, 0x3571bab7, 0x8fd14cb4, 0x865f664c, 0xa6fd8301, 0x4bf77f6e, 0x0f1b6ab0, 0x5d869bab,
+    0x300469ed, 0x6435f8c8, 0xe095fa88, 0x7702ca8f, 0xf1c57539, 0x653a36fe, 0xf595de3e, 0x3d6567df,
+    0x18a92fc5, 0xeafdb43f, 0xc57d6e5b, 0xe9674c0d, 0x8a8a58ff, 0xb0badb0c, 0x4888c1e6, 0xce678a6c,
+    0xdad6f18e, 0x1d1df528, 0x26a93b12, 0x007eaa1b, 0xc7f91af9, 0xc67ab78e, 0x29ce76a1, 0x97190d8a,
+    0x2bacb1e4, 0x8b9ac5d2, 0x688a254a, 0xf2c6ad63, 0x04ebbb08, 0xc2a3ab7d, 0xdf0e0300, 0xc00a46ed,
+    0xa69eb7cc, 0xe15a5970, 0x2267dff0, 0xec5eb767, 0xead16fb8, 0x4b75433c, 0x83e0358b, 0x052d5ae8,
+    0xc309172e, 0xf7e81ddb, 0x9f552ce3, 0x670b2fb2, 0x74e81007, 0x72c4b374, 0x0b287a85, 0x05ba8dad,
+    0x44e37ada, 0x1ac6d204, 0x190e1008, 0xd0aa62a8, 0x17aacf8d, 0xfe30dd4f, 0x9b7f0ab9, 0x95b2e1e9,
+    0x3b77b5a4, 0x510092c6, 0xd3e91be3, 0x9dbbee21, 0x5b294183, 0x8a87b6d9, 0xbe82b928, 0xbe99c7d2,
+    0xa27d00e2, 0xd00f5096, 0xf0a0208f, 0x24c2b981, 0x5d2f6adf, 0x146bcbde, 0x3eacc4c0, 0xe2694522,
+    0xb6d99dc1, 0xbdd9f661, 0xc25f9353, 0x22cae230, 0x0a9fe579, 0xaf36d697, 0x71093836, 0xd9a0e015,
+    0xa48ecb9d, 0xbb58163b, 0xf486823a, 0x531141d8, 0x31cfe07a, 0xbb5c5161, 0xbb38693d, 0x5390d05a,
+    0x200ad1d3, 0x68a91141, 0xdb8dc185, 0x75a1fa12, 0x929c2132, 0x77d75bec, 0xf1b80ba2, 0xdedb1cc5,
+    0x5ecaed25, 0xb82a5546, 0x872c745c, 0x9be38fba, 0xb9822368, 0x8db0fccf, 0xf459878f, 0xf38885c6,
+    0xdfa19ab0, 0xe4ea15e6, 0xabf74db9, 0x645c94ca, 0x7a6698db, 0x1105ca6b, 0x9b2d803e, 0x18e03675,
+    0x27075bcf, 0xc6e33c75, 0xdf47b8e4, 0x07e144b2, 0x5cc8295e, 0x4d88c5e3, 0x2fc6bbfe, 0xbfee49fe,
+    0x696fff00, 0x052f103b, 0x3f233357, 0xd732b56e, 0x25c97c6b, 0x77a22877, 0x719c4e5c, 0x503a4f3a,
+    0x57f7cdb3, 0x996b67de, 0x9980e5bc, 0x4b43957e, 0x01eb054e, 0x4a45c9cc, 0x3f5799c6, 0x62a73e65,
+    0xc1cf145b, 0x736d84bb, 0x5f1b55cb, 0xe10fdc10, 0x8936fdab, 0x47b75686, 0x4594161e, 0x5ac599ef,
+    0x971e898e, 0xb4db54d0, 0xc502866f, 0xc1fffc33, 0x2a007fb0, 0xcaecd966, 0x8d6fe8da, 0x8974384a,
+    0xabc18006, 0x2b3009b4, 0xe30c5c3c, 0x9eab01ec, 0x6fcc1684, 0x3c224667, 0x6cd8a1ef, 0x72af3728,
+    0xab39ee91, 0xd6042681, 0xd0c24f8b, 0x4f392dd0, 0x43200080, 0x204dd907, 0xa15d0ac9, 0xca222b35,
+    0x7cc0cd04, 0x84c597be, 0x16ed1cd4, 0x983cee3c, 0x898741fe, 0x09c408e8, 0xa559db6d, 0xced67054,
+    0x992d55ca, 0x5c02534b, 0x1455c15f, 0x96f4dd3c, 0x6900d7e0, 0xafb3e514, 0x5dc605dd, 0xb349e9f9,
+    0x1e57abc7, 0x89e34a43, 0xc80c6fe5, 0x38e96526, 0xbd9f4311, 0x15bcc349, 0x79fecca3, 0x6aa2bbcb,
+    0xc59194db, 0x08015055, 0xb0771f3d, 0xa678ee98, 0xcda7ddb2, 0xcb4b575e, 0x3384f6b4, 0x6d5e36e3,
+    0xc5b73321, 0xc7239824, 0x0aac30aa, 0xa1803124, 0xadc095bc, 0x5a3da999, 0x6cd0d7c6, 0x5ebd96e0,
+    0xa7399a93, 0xd73a3606, 0x7e3f0aa6, 0x8e6ef3c5, 0xd6f5ddd6, 0x10c8d8a8, 0xc5828b2e, 0x7bbc4796,
+    0xe1f373d7, 0xdf6ed078, 0xf2729d45, 0x088a58cb, 0xa3fe4436, 0xed07cc6a, 0x00186256, 0x97b65364,
+    0x1c52a9d6, 0x222d5362, 0x261e498d, 0x54296af2, 0x665128fa, 0xc6bbac34, 0x909829e3, 0x3822454d,
+    0x6070a7c3, 0xb5fdf527, 0xd0ce0ff5, 0x483baa99, 0x2ff1c7e9, 0x4a3f9e5c, 0x33ddbf80, 0xfe673d5d,
+    0x58df047c, 0xcebe21c2, 0x2ec9f772, 0xbe14ed21, 0x5b5a8114, 0x4049eaa5, 0xdaaddb07, 0xf9b72eef,
+    0x2d862cbf, 0x1bbe41ec, 0xc2fa9327, 0xe7ac25a1, 0xe3170b01, 0x87fba1cf, 0xa5db2134, 0x7b995e84,
+    0x1aac9031, 0xa4080c9f, 0x970e7595, 0x97093d1c, 0x6290811f, 0xe043c5f3, 0x8301117a, 0x056846ad,
+    0x4eddc5ff, 0xa613cfbc, 0x9757dcb3, 0x15e58a60, 0x79bd6349, 0x26887635, 0x74de1c5b, 0x3788a609,
+    0xa2a04d0a, 0xf3ad1903, 0xa71662a2, 0xca22606c, 0x77246f21, 0x97757adc, 0x488cd997, 0x119876df,
+    0x83889e79, 0xd3a352d0, 0xe5b89938, 0x90fa9ce6, 0x9ce3eed3, 0x27f3aacd, 0x26a633f4, 0x2e006253,
+    0x504ee3ac, 0x76440c1d, 0x8a61d1f6, 0x30d77a2d, 0x5aa298b4, 0x8d8b1546, 0xc6a95e6d, 0xeb71ba02,
+    0x23aa6201, 0xdc0e7300, 0xd8c6767e, 0xabdaab5b, 0x0c0f5a37, 0x6e9b537a, 0xc0bb5699, 0x307410f3,
+    0xb2898f87, 0x8dc7124e, 0x9c1a9615, 0x207d66e2, 0xa960b40e, 0x54f559ed, 0x15bfe0e1, 0x19f14310,
+    0x26426b53, 0x07b7442d, 0x0bac0fac, 0x938e0286, 0x295a50c8, 0xdcf533e4, 0x7453cd35, 0x308ed6fd,
+    0x206f16f1, 0x88f29e82, 0xe4e323ab, 0x54bc7fd3, 0x2d8e8bcd, 0x875c34cb, 0xfe5fc731, 0x88f0d8c8,
+    0x3454b5d8, 0xef4b6807, 0x267db0c0, 0x5b04a21c, 0x13800fc7, 0xf6934ed3, 0x9277d6bb, 0x2ba57611,
+    0x62fd0c83, 0x1882cc81, 0xc50e4b0b, 0x0223298a, 0xc7428e8e, 0x8836b2b8, 0xd9dd4f5f, 0x2cdd0eaa,
+    0xe7abf49e, 0x8a40e54e, 0xdfb692c6, 0x4178414f, 0xfb1d83b5, 0xb837b03d, 0x682dbebf, 0x48352e61,
+    0xb3a3fa5e, 0x433ed8ab, 0xdf7202db, 0x734f7b51, 0x6cfa502b, 0xa1679728, 0x5b1ad1fd, 0x7bc47583,
+    0x9a42ddc0, 0x5f9c5a0d, 0xaa66844e, 0xc818c614, 0x7c6d1353, 0x6faa50d5, 0xb5d2b0ab, 0x5097d73f,
+    0xa6fd91a3, 0x1c6c7583, 0x9664d07a, 0x1ade79b7, 0x94e3b2a4, 0xe35f0d4d, 0xb41e10ed, 0xbc160b9f,
+    0x2ae0e40f, 0xb24da0f6, 0xa1a785c0, 0xc6a9e952, 0x20fcdb3c, 0xdc2f8b11, 0x924fa0df, 0x476f58e6,
+    0x3586e125, 0x299fcfb5, 0x39f515f2, 0xa3e20487, 0x66d6fa7c, 0x4f5005aa, 0x014575af, 0x9db5d76b,
+    0xd0157fe8, 0x4b9de9a6, 0x2224ce21, 0x380d57d8, 0xf8cf1297, 0xb3403544, 0x94c249d2, 0x14f78c4c,
+    0xcc45eeb9, 0x62cb5535, 0x0e49803f, 0x6e7c1871, 0x07531a05, 0x96b69cee, 0xf0242608, 0x853ccd88,
+    0x4de1a889, 0xa678d99e, 0x5bebc139, 0xa9b46337, 0x7b7f0c1d, 0x25f5106e, 0x88449d3e, 0x03723f6e,
+    0xcc273cbd, 0x56cad906, 0x231a432a, 0x6ee9e8b7, 0xd02a1f39, 0xf265ffdb, 0x2a1b14bb, 0xe1234f3e,
+    0xa6a646b4, 0x018146e5, 0x8972a054, 0x5c8c7de8, 0xdf890061, 0x02edb731, 0xe8277e9e, 0x5cd61b62,
+    0xf9501fd9, 0xd47ec2fc, 0x35636658, 0xc57c69fc, 0x6a97e88b, 0x2a9fd264, 0xaab2d6c3, 0xa124e945,
+    0x9ca41912, 0x7d3b0220, 0x1d3c3a62, 0xe67597d3, 0x5333118f, 0xaab67992, 0xc1cd9169, 0x18c6c02a,
+    0x3046a0c3, 0x092081a7, 0x2e44bb9f, 0x094ac2fc, 0x938a2342, 0x4194b9a2, 0x80ee4098, 0x0f88591f,
+    0x26321b0f, 0x8c369f5d, 0x6884523b, 0x2374f555, 0x817a76b6, 0xebc0add6, 0x9a57926e, 0xd8565a63,
+    0x5840e2a3, 0x00f34ebc, 0x2f8e27f2, 0xc80dfb37, 0xc1dc956f, 0x81ceab88, 0xb553f189, 0x2c489baf,
+    0x839fee83, 0xf38c443c, 0x78e4b67b, 0xab8b8f54, 0xf0dd2b28, 0x0ec250ef, 0xf0f78276, 0x34cf837d,
+    0x7309f2ff, 0x079349e2, 0x446b507c, 0xc4a5127e, 0xa5233779, 0x89ac8c05, 0x5aa8b11a, 0xb5cee783,
+    0xf4d5807a, 0x1c200394, 0x71a16198, 0x4cdc8329, 0x0543675e, 0x4ecc0487, 0xf7b467d6, 0xbcfd4fa9,
+    0xab29f0b9, 0x0060c85c, 0xaecbbeaf, 0xa65a8cb0, 0x548cf415, 0xaedc3fa0, 0xd0de5665, 0x59abdf8e,
+    0xc5314098, 0xf6e9aadb, 0x15852c93, 0x2329e637, 0x2fbe01a4, 0xe654d9a7, 0x5d0db7bc, 0x331cfe57,
+    0xc413b12c, 0xa4699a92, 0x37446ff6, 0x7c58126f, 0x15191bfc, 0x21e35b8a, 0x93cd7b9a, 0xe47796fb,
+    0x043c1e45, 0x1cf689f5, 0x06ff5758, 0x3fac15f5, 0x1e9cb5f3, 0x3acd580e, 0xd8351770, 0xb78dff5b,
+    0xeba946d5, 0x299788f7, 0x359ed9bd, 0xf0a5116c, 0xeedb327d, 0x52a2039e, 0xc1056d1a, 0x83031146,
+    0xb35d79d5, 0x28e83374, 0x4ae74be9, 0x5bdcdca4, 0xb824c9b6, 0x110a48b7, 0x095e9edd, 0x22c9f767,
+    0x7f31f752, 0x6ca06526, 0xb941373a, 0xcddbcde3, 0x6e200fc4, 0x3e6aff25, 0x93a92041, 0xe1078c21,
+    0x5524a838, 0xc9f96e73, 0x71198aba, 0x537afd51, 0xe47bd385, 0xc5aed719, 0xa3169ff9, 0x4932cb70,
+    0xcade4835, 0x7f3a27c0, 0x3d46123e, 0x4b366513, 0x1818dd89, 0x6e6c1fb4, 0x1342e3ea, 0x15e24da1,
+    0xbaabb55c, 0x6a2d06b1, 0xf3a6b5e4, 0x28ea4429, 0x40b5f8cc, 0xa8088aee, 0x068840bb, 0x831e7351,
+    0xe25e5de1, 0x08086e5b, 0x00979d3f, 0xa34906c0, 0x235cddc9, 0x8118fdb9, 0xcc180def, 0x3f61ed99,
+    0x6855568e, 0x82cccfbd, 0xbb93e405, 0xf239e19a, 0xa40c188d, 0xb93d3f61, 0x6f875ae7, 0x06e7ade7,
+    0x76a0012a, 0x477a536e, 0x1dd02727, 0x139c1085, 0x35ae7c87, 0x66dc0d85, 0x8ea8be0f, 0x321a0646,
+    0xa69d3d19, 0x191ac17c, 0x6d4bdb8d, 0xdc5af770, 0xe8ec085a, 0xf944adf2, 0x279dce81, 0x50e5a980,
+    0x564a1d4e, 0x872ba452, 0x2c8cf351, 0xbfe401e6, 0xed6d44ec, 0x7a77a180, 0x00789ed1, 0x5ea45c9a,
+    0xbd2f25df, 0xb2665876, 0xc4503e00, 0xf046c9dc, 0x24e9eb23, 0x8d1e92c3, 0x1403ddcc, 0x60197274,
+    0xaa50f74a, 0x19919512, 0x05e68603, 0xdb7f9bc0, 0xf50b1593, 0xc3e99750, 0x972738d7, 0xc23fb3b8,
+    0x5f3a5e9b, 0x1c1afea1, 0xb05f7cca, 0x78761e32, 0x9d075d4a, 0x4caedd6a, 0x4a60776c, 0xc1366cf5,
+    0x8d6b5328, 0xc094d6ba, 0xfe2868ad, 0xde5f3431, 0x386c3621, 0x948797dc, 0x701b2d37, 0xf873e80d,
+    0xf5452b96, 0xec942451, 0x42945820, 0xafb7a851, 0x47cf124d, 0x4cadcada, 0x06560b63, 0xd5e7d161,
+    0xd81dc917, 0x6a075476, 0xf4511fb0, 0xa8483a43, 0xe940a0ae, 0x3551c005, 0xde61dead, 0x215f8b36,
+    0x0cbfff40, 0x42e1fd76, 0x4fc98cae, 0x862c42f4, 0xdee5bfe9, 0x61c610f5, 0xfe0140b1, 0x216361be,
+    0xf303dc20, 0x00e27914, 0xcdf83514, 0x74cbb563, 0xfce9a81a, 0x7ba3e53f, 0x279aade1, 0x454cd28d,
+    0x35cff833, 0x69ad4c58, 0x445d4cd3, 0x57d50f7c, 0x3c6c170a, 0x963959f1, 0x3888fd48, 0x4d511849,
+    0x00000000 }, /* 10**00002045869129935088668758243560517249470135401278776915493427057105060083622\
+                         75292159680204380770369009821930417757972504438076078534117837065833032974336 */
+  { 0x00000000,
+    0x4001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105cf,
+    0x0b3a0cca, 0x1fbd3baa, 0x3e747c49, 0x7d56c75a, 0x17ac286b, 0xdc900acb, 0x94a99fe2, 0xc59a9ebf,
+    0x00000000,
+    0xa92dbb6f, 0x3581197f, 0xf20ad577, 0xc2071be8, 0xff800d7e, 0xf60c766e, 0x5695a975, 0x7b691b88,
+    0xbb680cc1, 0xe25348b9, 0x9545e671, 0xb849e858, 0x49dcec6a, 0x779a4158, 0x7ed8a1f8, 0xf828834c,
+    0xda86d44f, 0xa21aa48e, 0x1766c1d6, 0x5a0bf64e, 0x167bdbfc, 0x0d274ae2, 0xe0b50612, 0x82d9753c,
+    0x74194f3b, 0xfcc033c0, 0xfab32e38, 0x1f9dc456, 0x6c56e0ea, 0x51bc30b5, 0x7acdf1b5, 0xe8ec3b7b,
+    0x9abacd36, 0x480307d4, 0x2d5bfe83, 0xc59f6793, 0x0e6d587b, 0x264b9b24, 0x4580dde9, 0xb4dacf09,
+    0x1eb7611d, 0x547edfd4, 0xcd300852, 0x7d1dc620, 0xefba0a40, 0x6bc58c49, 0x7378f0fb, 0xedf18c14,
+    0x3b4fe2b6, 0x4751790c, 0x828687ba, 0x6315bf63, 0xa706f3a7, 0xa0dafbaf, 0x022b06e3, 0xbab53500,
+    0xce1620b0, 0xe3598047, 0xee82f3e3, 0xadf27cfb, 0xccb58139, 0x45a98aaf, 0xe9e9967c, 0x3ad70667,
+    0x9e4fed4f, 0x6f091207, 0x530b0852, 0x135dafe1, 0x907c0d73, 0x98c4f16d, 0x180e0705, 0x40ecdd34,
+    0xcbd594eb, 0x0baad828, 0x18b3bf4f, 0x439dbe10, 0xe5f2d4c8, 0xca3102b8, 0xb5006b71, 0x5e0915a3,
+    0x95e74211, 0x10f47048, 0xf59b6480, 0xf048e45d, 0x79f2f03c, 0xe3fe2d43, 0xc366bf74, 0x44ec9746,
+    0x26d02072, 0x95f96fed, 0x1113b83d, 0x8a9201d2, 0x5690cd4a, 0xcd00cd71, 0xbeb60cd2, 0x3edb44ed,
+    0x2e91073d, 0x24a8c499, 0xbd66ce5a, 0x1944a753, 0xd4ebcbb7, 0x8e3cfd26, 0xff6e91df, 0xd9c1a293,
+    0x181a7a09, 0xfb855478, 0xcbac0d0c, 0xcbf22966, 0xbc99d50f, 0x0bc7283a, 0x130bfb11, 0x5b277fd2,
+    0x0b7444f6, 0x44100d64, 0xd7606d7c, 0x29c380b2, 0x5c7114f7, 0x15f613b2, 0xf4716b63, 0xdbd52f64,
+    0x306328cd, 0x0aedc36a, 0x5eca701b, 0xee25791a, 0x54a36d81, 0x86b8eeff, 0x8b3824ff, 0x01edb41c,
+    0x0738b8d3, 0x6816086f, 0xa6b8cc5f, 0x95e08b31, 0xda6310a1, 0x6a318dcb, 0xb4e2d126, 0x8695f375,
+    0x7ac3ebe8, 0xcf64a648, 0xeb8717ef, 0xa95e4753, 0x09aa2a16, 0x9d3b939e, 0x18843d6a, 0x89ead8d6,
+    0x50203e0f, 0x296f6655, 0x1a46a394, 0x07989747, 0x5f3eeb36, 0x604274f7, 0x9a45c5fa, 0x75b3f179,
+    0x4b681ebb, 0xff7399fa, 0x1d606d94, 0xc008f9f0, 0x86b56809, 0x90e23762, 0xf2c0c4ea, 0x3335d2dd,
+    0x0ef18116, 0x6e42bc17, 0xd688f183, 0xe0f31f7b, 0xfcc0fc42, 0x4a6efc26, 0x46605534, 0x804d521f,
+    0x827397a6, 0x60fa137b, 0x4d48d1df, 0x3d7cf570, 0xd8c8f0cb, 0xfb8f1006, 0x81367a09, 0x58546f40,
+    0xa81ca6ea, 0x7a55f837, 0xf97e02bf, 0x5658d8fa, 0x9dc9a180, 0xd894ad47, 0xe1cde15c, 0x6d275018,
+    0x6ff30034, 0x2178a0a3, 0x2530f1ee, 0xdbdb1a3c, 0x6d7d8b14, 0x27059236, 0xfde2ff47, 0x7a309d25,
+    0x06ef38d3, 0xbb234356, 0xba05e4ec, 0xf75ad6ae, 0x682e97e8, 0x6046fa55, 0xe0a2537a, 0xa5d8141a,
+    0x7d513c33, 0x285618fb, 0xa13d7bf3, 0x1bce5ea4, 0xc7c124b0, 0x23796c3d, 0xcb7a74ee, 0x11cf8dbd,
+    0x4593c80b, 0x849d5689, 0xdb1d0221, 0xac58642b, 0x5bef88a9, 0xbf7bb0a8, 0x68d074e1, 0x26aaad0b,
+    0x3ff96352, 0x3838a226, 0x336f887c, 0xe6142ccc, 0xe65af1f5, 0xcb01dcce, 0xfd51d64e, 0x2b800bcf,
+    0x04f7cbbb, 0x664e1ab2, 0xb8db260e, 0x0b0acdf8, 0x2ca484e8, 0xb0c113f4, 0x3d30da13, 0x6202fb4b,
+    0x0e283e99, 0x5da2b378, 0x09f03edd, 0x90bf23ae, 0x6889334a, 0x85b77990, 0x644f242c, 0x70c44476,
+    0xf708b5e6, 0x032655f0, 0xea5a4c90, 0x65503eb1, 0xcc15542b, 0xa3f0d9f9, 0x2a142f3d, 0xf2805799,
+    0x24187a7a, 0x0bfa42fe, 0xd2e9306c, 0xfa5186e2, 0xbceffb54, 0xf58cf79f, 0x343717e4, 0xa1b89e00,
+    0xdf029da2, 0x869a0253, 0x2e16d13e, 0xaeee672c, 0xb8ed1ee0, 0x539d3164, 0xdbccc8d4, 0xa302f9e8,
+    0x529e43a8, 0x017e4c60, 0x8287cfef, 0x6463f2bf, 0x03980f11, 0x5eb6cd43, 0xeb888675, 0x368ae282,
+    0xf26052c2, 0x7e81f470, 0x90efaf60, 0x45e18793, 0xfe6bcefb, 0xdfd22ca2, 0xfc2e2969, 0x3981fa57,
+    0x9bacddf3, 0x83637a10, 0x90a9cb12, 0xac740c49, 0x56da548f, 0x560fd6ff, 0x10b40020, 0x70fa001c,
+    0x2ce422b2, 0x6a6f313d, 0x56a25493, 0xfab9df0f, 0xc25f4401, 0x216bd179, 0xbd1c1021, 0xe0a1286b,
+    0xf4cee98f, 0x6c1677b8, 0xf639d1d0, 0xc2ada55a, 0xea40f8d4, 0xd2dc88f8, 0x9ac57fdc, 0xf202f00f,
+    0xc23df4dd, 0x4c713e0b, 0x06a48358, 0xa9522477, 0x8925ab82, 0xb4b48ab2, 0x631cb654, 0x1fd7ab8f,
+    0xa05a7bfd, 0xbe8bdd78, 0x04279936, 0x191a25af, 0x4c06c508, 0xa2d4d192, 0xa7e96696, 0x72d07e06,
+    0x603a92a2, 0x5b65f0fc, 0xede5c73e, 0x87b1fd45, 0x4d03aeb2, 0x49badbea, 0x07b7f0bd, 0xd4b94239,
+    0xd9ea5435, 0xd2798852, 0x0799aa54, 0xae715270, 0x3c1939a1, 0x391574bc, 0xdb731ed2, 0xb8ab6dd9,
+    0x08326ec5, 0x242679bb, 0x0531c0f9, 0xdf798783, 0x552d4cdb, 0x05ca9cbc, 0x7d94a28c, 0x1fa34c33,
+    0x93087638, 0x02ff2fc6, 0x9fca4071, 0xe3f1d6ec, 0x153a61c5, 0xc0e05c94, 0x4f106f8b, 0x3206f700,
+    0x569a1f4e, 0x5b8e65b2, 0x88a9f569, 0x261d482e, 0xfdc43464, 0x4f5eccd7, 0x1ed65ff2, 0xf18d3df7,
+    0x74602855, 0x70b74dc0, 0xaa164350, 0x574aca41, 0x31aa6947, 0x16636bf7, 0xd888c048, 0x07b42a15,
+    0x15fe3c2d, 0x50bc2674, 0x2aaefc9a, 0x8e387a72, 0x67dd24d3, 0xd570e3f3, 0x126a2f27, 0xf5f6d295,
+    0xeb873923, 0x6ffbd768, 0xbd464b30, 0xd151024a, 0xfd64d9fa, 0x50c3b40c, 0xd12ce8b2, 0x56c9e0bb,
+    0x70fab53f, 0xf764ed90, 0x8f84f380, 0x0da1e852, 0xf7230b09, 0x18260f58, 0x5065b45c, 0x21c8be42,
+    0xb6bf5889, 0x26478a50, 0x7f60fb22, 0x6346548d, 0x479c320c, 0x009ae212, 0x9a9320f2, 0x2bb0dbc7,
+    0x9d734a0b, 0x308c941b, 0xd5fed19e, 0xc2d9b56c, 0x0ca3fc1f, 0x6b48b7a1, 0x700736fa, 0xb551ca44,
+    0xda364f0f, 0x996eb8fb, 0xf7e2ab26, 0xfb5c8a12, 0xba038970, 0xe595d1cd, 0x364fa208, 0x9605f842,
+    0xd5b83ae1, 0x0f84030f, 0x0eea0210, 0x9b7d1644, 0xc2f21505, 0x96a66b91, 0x8583e216, 0x3f40a66a,
+    0x29481962, 0xd1aad5de, 0xb18c0787, 0x991b8855, 0xd282b9dc, 0x1d8776eb, 0x79996ed8, 0xb1684aba,
+    0xb70be4b8, 0x54be4174, 0xd9c34300, 0xdb6f6d86, 0x3dc773ab, 0x3191e31f, 0x53c76fe2, 0x40941ebf,
+    0x60dd0d86, 0xaaf24007, 0x2828a0b1, 0x24afeeaa, 0xda6e3eda, 0xa7073f60, 0x6518d8c8, 0x2162611d,
+    0x2ff44f83, 0x2ec9d0ab, 0x88ab9c12, 0x990c13a1, 0xca3e8774, 0xadbcf9f3, 0xbcf87c8f, 0xf12e07f0,
+    0x202c2b1b, 0x65616e4c, 0xd4cddaea, 0xcdd6cd85, 0xb78a0c33, 0xbbae9645, 0x4b671f17, 0x5ee14a24,
+    0x89887eaa, 0xec8f8c60, 0xe27ddd57, 0xf84d2592, 0xbcb0f725, 0x37ed68a0, 0x768d0ee5, 0x653c552f,
+    0xa0009dcc, 0xb885061f, 0x0220ba2a, 0x6f618c13, 0x555621ea, 0xe871d2d3, 0xa2210cca, 0xeeebc1cc,
+    0xd733a158, 0x9f9c0143, 0x0f1f4eeb, 0x43c19d13, 0x1e3adedc, 0xa9dbb42c, 0x8897bfe8, 0xa01b9f4b,
+    0xc6020104, 0xd253a934, 0x4e165455, 0x42acb2f9, 0xec890ee8, 0x7e4337dc, 0xc8068d0f, 0x1af89c99,
+    0x4898cb2e, 0x566c45d3, 0x10fa475c, 0x13434c4d, 0xb2a64ef9, 0xc33978a5, 0x935bb80f, 0x68f385b6,
+    0xc1b307cb, 0xb8757846, 0x7a287fa2, 0xac9a708c, 0x26bd82e7, 0xb84102c4, 0x81a9cfb3, 0x2aeec328,
+    0x09016459, 0x41c60d13, 0x84fe04a7, 0xd0e8bb73, 0xdee199c6, 0xcf97ca89, 0x12095f09, 0x941fce54,
+    0x7f604bf6, 0x96e7bbca, 0xab21bd78, 0x9d7b2f6f, 0xc2b7caaa, 0xacc18791, 0x29b205e4, 0xcd7339b7,
+    0x3d75954f, 0x4a1d8771, 0xe54fcfa5, 0xd99ffbc7, 0xe5b1d818, 0x729e5068, 0xf2ef9b8e, 0xb0dad3e1,
+    0xa61e2a24, 0xf76d7c56, 0x6778aed0, 0x113a9f0a, 0x73eb6b0a, 0x06a0ea37, 0x5b46532a, 0x2e24e237,
+    0xb3a9bb4c, 0x73de37f7, 0xbdfb59b1, 0x25a3afb7, 0x038cf16a, 0xb4029504, 0x0e9e440a, 0x549e556c,
+    0xdd466795, 0x5c24ca32, 0x2fc8aaf2, 0xae4beda8, 0x4835d662, 0x66d6cf83, 0xe9e07b37, 0xdaa9f98f,
+    0x17b99819, 0x106e5848, 0x674f678c, 0x3259df8f, 0x06b12ef5, 0xbd298521, 0x5db5ae83, 0xbf8f7e0b,
+    0xc175da99, 0xbee8c09e, 0xda1b9e47, 0xa9d59631, 0x872b4ac1, 0x6cd35d2f, 0xef404570, 0x57b5a34f,
+    0x551feadb, 0xcab03e4d, 0x400420df, 0xa5a93405, 0x94ca2854, 0xcd961956, 0x65973138, 0x4e366db1,
+    0x8611306d, 0x7c42ecb9, 0x84429104, 0xa0397736, 0x54c074ce, 0x94fe2ac7, 0xc22048e6, 0x5c66a46e,
+    0x14ed91b5, 0x66fef2b9, 0xf5216d97, 0x87845ee1, 0x71fb6c90, 0x3b495a25, 0x8da6c374, 0x6ee635c8,
+    0x7dd32c41, 0x9c1551d9, 0xdbf04d5b, 0x78205b5c, 0x11a4e022, 0x523c5c9b, 0xd8753b6f, 0xf378dcb1,
+    0x88d7e5b0, 0x62c82d63, 0x1f0d4fc3, 0xb4d31fea, 0x03d0d214, 0xd7987707, 0x61ec0372, 0xe78fc345,
+    0x9b107203, 0x9ac1bf06, 0xdf6db3a9, 0xa8063f9a, 0xd9c371b4, 0xcec77a1d, 0x9cc9fb04, 0x06067c4f,
+    0x4f95fd6e, 0x06eecf41, 0x0c740f19, 0x16380d52, 0xce5fb4bc, 0x51a80bec, 0xd14f4909, 0xa99e0077,
+    0x3ce273f5, 0x396c6db7, 0xa31b2069, 0x519e67e0, 0x5428eab9, 0x4e663627, 0x277db12d, 0x4cea7912,
+    0x7db0392a, 0x35c78b61, 0xb91014d6, 0xae549691, 0xba672610, 0x466b7b10, 0xa8ea16e6, 0xe865465c,
+    0x41dd1b78, 0x86ba620e, 0x34c780bb, 0xa3433027, 0xe4d38feb, 0xe50eaedb, 0x0826680a, 0xe7b6e3a6,
+    0x8bbb903c, 0x7f9b74c2, 0x1c6637e1, 0xd9ebbed8, 0x25685670, 0xbeb00adb, 0xee056db8, 0x90eb2b7f,
+    0x04af75dd, 0xa3a974e4, 0x44ff123b, 0x9a0770eb, 0xc30d1180, 0x5b7126bc, 0x54b6fc8b, 0xd3d518d1,
+    0x2cbcee95, 0x77ae2266, 0x1e50a977, 0xab4b9d01, 0xba9b95e2, 0xff9e31c5, 0x8e75c8d3, 0xd0cb771e,
+    0x57c160e3, 0x314de9c3, 0x16831890, 0x6289902e, 0x1a6ed25e, 0x57cecce0, 0x99fbc795, 0xc0df6420,
+    0xf8f9ac92, 0x125b52ca, 0xf42d3544, 0x81bab343, 0x9aeff4db, 0x335f6f9d, 0xa4062ac1, 0x5d1b4970,
+    0x2fb52606, 0x8323c4d0, 0xea908844, 0xb34be572, 0xe7cb09ef, 0x6251c28c, 0x3e6af914, 0xc2e37a5b,
+    0x286c18dc, 0x87cd1f5d, 0x7c12a4c2, 0x2c8af27f, 0x24d8ec6d, 0x4405218e, 0x1257970e, 0xd0883006,
+    0xe3eed683, 0x5966ec8e, 0xde87c633, 0x40c44b3e, 0x9745218f, 0x0bd60319, 0xba3dd219, 0x1a284afa,
+    0xa52cc817, 0x9f785496, 0x80376428, 0x49502f40, 0x12931e38, 0x58ac5778, 0x6d9a15ff, 0x991929fe,
+    0x3ecdb848, 0x5e31a27e, 0x3e6853a2, 0x91ccba19, 0xb3d7b313, 0xd98dd6c6, 0xceaa7ae7, 0xc6ca536d,
+    0x8c731758, 0xdef3bcb8, 0xbb06d7ee, 0x02c4cb3d, 0x40220f10, 0x25ef9b64, 0x3a466f45, 0xc37568b7,
+    0x7b1d2ed5, 0xdb33822c, 0xbbc9f060, 0x6a578fd6, 0x3720098b, 0x43e14f8b, 0xc1904a79, 0x8d1736b0,
+    0x0bfdfc41, 0x10da3a93, 0xac931122, 0xbf43cc53, 0x39634db0, 0x3d4c84c6, 0x5b46e830, 0x2c250318,
+    0x785c9c16, 0x21ca620d, 0x7514f7a5, 0x12a44a2e, 0x36db26bb, 0xc8c4181b, 0xdfdda4a3, 0x4b37afab,
+    0x15894c5f, 0xdc99138c, 0xccede4b2, 0xaf5ce6d4, 0x29189e5d, 0x11c8fa06, 0x6680f18f, 0xe102556e,
+    0xe31f344b, 0x2f4563ce, 0xb9982308, 0x0deff86f, 0xb999763b, 0xd6341323, 0x0426cec2, 0x3a9fa218,
+    0xb55da33b, 0xec97c511, 0xa3053d70, 0x30ae5baa, 0x7d57a34c, 0xa3045b33, 0x622c0065, 0x5c55564d,
+    0xbdcf30eb, 0x539bc3ea, 0xb51ad9e4, 0x507f21db, 0x81d52a75, 0xc273893f, 0x85765d53, 0x2a0ed866,
+    0xc13ce468, 0xb094dd75, 0x98541ea9, 0x1904e531, 0xcc4041c2, 0x51c9f882, 0x786b3ff5, 0x746854ca,
+    0x1900ef46, 0x35a43b64, 0xfa21f502, 0xa0be03eb, 0x0ff3d004, 0x648f1210, 0xdd72a7be, 0x5f29431d,
+    0x2fe6e02f, 0x38ed2ae4, 0xa92c6f67, 0x862465a2, 0x80400162, 0x9d5b4ea3, 0x7945c8ef, 0x31663d64,
+    0x8fd249d4, 0x60fc4b55, 0x8d8531d4, 0xabfda88d, 0x1901b8a9, 0x5e84a4cc, 0xd93171a2, 0xe9a1531e,
+    0xf6edb651, 0xe576723c, 0x13936cf5, 0x2e0b2bd1, 0x236e7a9d, 0x0809fd5f, 0xb1e7da7c, 0x2877755f,
+    0xf3b67c23, 0x77b4c4de, 0xd8ef1bd1, 0xc102f357, 0x7335dd7d, 0x6f43a7df, 0x75892d0f, 0x714de629,
+    0xa4b59f97, 0x34f50cfc, 0xc441acc3, 0x4e8271e2, 0xc77431eb, 0x5b55c5f4, 0x5a17ab81, 0x25b6cd58,
+    0xcc520d9c, 0xa313ece8, 0xc9185ea9, 0x7a1c8d71, 0x072d4819, 0xedb660eb, 0x68bcf1d2, 0x9ff5dd2c,
+    0x7edf703c, 0x1cd5d399, 0xa346c312, 0xbd632f71, 0x1c32b81a, 0x4e0b1eb8, 0x07aa97c0, 0x0e28f22e,
+    0x66ce0a2f, 0xe9f2a23d, 0x0c678a69, 0xd14415d6, 0xc97d12e3, 0x643479f9, 0x20d83b50, 0x5f1da6c3,
+    0x56d3c1b0, 0x6c0ea8d3, 0x22b6b188, 0x1bfae5ac, 0xbb64a69d, 0x5a569b61, 0xa26e24f4, 0x753d2d44,
+    0x55877604, 0xc856ada8, 0xae0fcfd1, 0x542ea9d1, 0x8ebf9188, 0xa0bfbbac, 0x8657baae, 0xfa582270,
+    0xe3e0ba0b, 0x4f12ad79, 0x79e97d1a, 0x51edbb1a, 0x5e250262, 0xa3f01037, 0xcd88c7f4, 0x622c4fe7,
+    0x3e0dd848, 0x5dd83bf6, 0xb9535236, 0x0ed18f7e, 0xf00875d7, 0x56e4ef93, 0xd98b357d, 0xfa59c881,
+    0x779a51b6, 0x08f4928c, 0xf66a41f0, 0xf08feb54, 0xe575e7d3, 0xdfb4a70c, 0xd3cc20c0, 0xe1129754,
+    0xa778f74e, 0x7b5a4c26, 0x8fe0b2a3, 0x93b1de4b, 0x24fc2088, 0x7494ed09, 0xd8eb9090, 0xa9e8729c,
+    0xbb7cba0a, 0xb3b15037, 0x49f5bb9d, 0x31241267, 0x7f44e19f, 0x9eff636d, 0x5e38dc63, 0x0f1bc9c3,
+    0x43ec4fe7, 0xf4176b7a, 0xff124ffd, 0x4f167ce3, 0x989e630e, 0x9bbea5d4, 0x30d11b5b, 0x0c46f3bb,
+    0xe19024c6, 0x3da2e3b5, 0x044d1302, 0x1a9b8562, 0x3071d4e6, 0x18b5b4b3, 0x5ccceb0b, 0xd63567d1,
+    0x572e3679, 0xcfe5143c, 0x266d1922, 0x33f7d2a1, 0xdb0a7af5, 0x1ef8f4aa, 0xe50aae67, 0x78aee0ee,
+    0x9b20c937, 0x0bf27239, 0x80de43af, 0x2672dc08, 0x5d008671, 0xf3e2efad, 0x666f25fe, 0x5a0dfc5d,
+    0xc60ec0d3, 0x7814a03b, 0xc8e2dc16, 0xa41409e1, 0xff686a9e, 0x053de421, 0x41e54683, 0xc0c59d9f,
+    0x8cb2b05e, 0x2c4c99ee, 0x4d49f6f9, 0x2d8f22a3, 0x44f1f6fa, 0x81c8954c, 0x8a8d2335, 0x41cd486a,
+    0xa99a54ed, 0x271bb11a, 0x0e3743aa, 0xb879e417, 0x18edd0e4, 0xb58b6c41, 0x7e9f3d77, 0xa32f9559,
+    0x944f21c1, 0x6e85a348, 0x75174807, 0xcc3aee39, 0xd602ded2, 0xdc5c190f, 0x98086893, 0x60ef4a4f,
+    0x5e8177b8, 0x1900e69f, 0x85437bb3, 0xab3c0260, 0xe87bf981, 0x25415121, 0x348b21c7, 0x5b581afb,
+    0x00000000 }, /* 10**00001022934564967544334379121780258624735067700639388457746713528552530041811\
+                         37646079840102190385184504910965208878986252219038039267058918532916516487168 */
+  { 0x00000000,
+    0x4000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e7,
+    0x859d0665, 0x0fde9dd5, 0x1f3a3e24, 0xbeab63ad, 0x0bd61435, 0xee480565, 0xca54cff1, 0x62cd4f5f,
+    0x00000000,
+    0x9327eaa9, 0x2826dead, 0x4df2a72e, 0x804b82cd, 0x4821023c, 0x6df3000d, 0xc2dc7123, 0x96b12100,
+    0x4b0212b2, 0x083e6d09, 0xf9e8afff, 0x542ce14d, 0x292996fb, 0xb8b465ed, 0x76b606ab, 0x95a1bc41,
+    0x2f81b6e0, 0xd00d62f7, 0x471ed1cc, 0xdddd88a9, 0x8508f2a1, 0x329351be, 0x7c8ae951, 0xf7c26f13,
+    0xc6ea3976, 0x758bc100, 0xaa4bce1c, 0x70024442, 0x664bfd37, 0x893e523e, 0xea49be08, 0x04b494b6,
+    0x5d683c1b, 0x39154966, 0x363ef4b3, 0xda1551e5, 0xf140c806, 0x8e1ad56d, 0x1fa0ab94, 0xbdd8972c,
+    0x852b7614, 0xc43d603c, 0xef12cd2c, 0xb2de8b86, 0x25938677, 0x1c916e6c, 0x1aca11f0, 0x98e5c43f,
+    0xfbd91925, 0x601c2def, 0xfc1fe754, 0xbddf2c27, 0xea370a0a, 0x5be68c14, 0x9f720442, 0xdf5390ca,
+    0x3f205468, 0xbb035432, 0x92af1b2f, 0x3227c8f5, 0xe8763829, 0x9d3fb8f8, 0xc9705eeb, 0xe0fe8469,
+    0x36e99ff8, 0xfce6b32b, 0x1845ea60, 0xf02c72b3, 0x1d7c87de, 0xf5b9d078, 0x227e8a65, 0x8ac8266d,
+    0x42f8298b, 0xa824bda4, 0x2245b487, 0x50f45060, 0x39e7ce06, 0xb5a282d1, 0xa662a2ef, 0x5868dab8,
+    0xb82671a8, 0x855405fb, 0x160184bd, 0x3a04da4d, 0xe8ef743a, 0x4c9fcca5, 0xc4da995f, 0x6e25bc88,
+    0xd19f3d09, 0x41e76440, 0x0db49131, 0x04c2d9e1, 0xff1f230f, 0xe020631a, 0x8c21ecd4, 0xc4962442,
+    0xecb0502e, 0x5f9be6aa, 0xd6786dd8, 0x3e7b7e64, 0x019412c5, 0x4fc89ea0, 0x108490ec, 0x1c9d4dd9,
+    0x5156ba40, 0xee4c75d5, 0x86c18182, 0x45097eaa, 0xef535114, 0x904ddc48, 0xfa7a02da, 0x95a47daa,
+    0x14180649, 0xb3afa92b, 0xe36b1286, 0x61d5e712, 0x28d1e161, 0x673af118, 0x14214317, 0x048c6cb0,
+    0x4e759292, 0xde30da62, 0xed432ab3, 0x0586aa8c, 0xeec7e852, 0xb790010b, 0xe92fdcd0, 0x953af39f,
+    0xc97ccfd9, 0x676b3757, 0xac40bae4, 0x5754ca3e, 0x38967cea, 0xc372f258, 0x7e959a44, 0x341e1733,
+    0x80b261dd, 0xa4ba065e, 0x00979348, 0xa0230a6f, 0xaea0c8d2, 0x278b0dbd, 0xd9f10776, 0xdad7b986,
+    0xe3629e9d, 0x3632ef70, 0xd967c18f, 0xe80d6fe1, 0x3fcb6a2d, 0x6b33979c, 0x76c2e1d0, 0xb2d5da40,
+    0x13ec19ee, 0xeffe45a0, 0x6552c43f, 0xaaccbd7b, 0x36b47990, 0x8414de1f, 0x3e47493b, 0x1641b66d,
+    0xfd12dadd, 0xf19f3b46, 0x6511d446, 0x9685aa45, 0x2f736a8e, 0x59e8e6cf, 0x3f2d9002, 0x4bb5b4de,
+    0x0dd2fa85, 0x9675bd56, 0x896429e1, 0x04af2b14, 0x78bd393b, 0x5038db2d, 0x01629a32, 0xf55d57b1,
+    0x6d524f1e, 0x790abd31, 0xc2ed0c39, 0x982f1138, 0x90318149, 0xdb8aff55, 0x0b6c8e3a, 0x1ca45911,
+    0xd11556d4, 0xc7c5cc10, 0xa74a180c, 0x84092b16, 0xe4b49c13, 0x6b8a19b5, 0x35e5743c, 0x1f0be8a3,
+    0xe0c4f7ef, 0x143461c1, 0xe302e110, 0xfe0fce7f, 0x8e168868, 0x0414a10f, 0x495e6648, 0x2fb855e9,
+    0xab626074, 0xac3673fd, 0x03f1e6ef, 0x69b9d297, 0x906d6e34, 0x33e8a344, 0xa381c313, 0xb54599c7,
+    0xc8402e6f, 0x869e6e3a, 0xb299b0bd, 0xeaf95da4, 0x6ee0cd75, 0x013421af, 0x9f4037ec, 0x86161a90,
+    0xc7b49532, 0x016f52a5, 0x4d8c8955, 0x57be864b, 0xed51a77f, 0xd9d42e60, 0xd2c797df, 0x7bdf50b3,
+    0x99218ec4, 0xdc6a7bb2, 0x04be93fe, 0xbb881784, 0x5cbef130, 0xeae8b99c, 0xe971d777, 0x9055d71a,
+    0xd5dd0b99, 0x58956504, 0xbea65f3e, 0x7ae0a709, 0x20898b13, 0x790aa0b5, 0x6d2f3c65, 0x3e01dca6,
+    0xefba125b, 0x40e7aa39, 0xf745336a, 0xa59b4a92, 0x5f55fb17, 0x92a636b5, 0xbb88b76c, 0x7c1a49dc,
+    0xb472f90c, 0xed109b38, 0xb45c0668, 0x13bf8e72, 0xf275f846, 0x80a6e48a, 0x9e13dcc8, 0x512e2de9,
+    0x9e74dd9b, 0x88ffeacf, 0x082593cd, 0x76b2fbaf, 0x9ce9e963, 0xf4eaec6f, 0xbc8c3675, 0xf28992ac,
+    0x24ab43f3, 0x03fc9ff7, 0x38b6f231, 0x246aecdb, 0x8d05f7c3, 0x0c3f0dde, 0x4ff30a15, 0x20073e81,
+    0xe86026b1, 0xb7581d00, 0xb5ee8205, 0xaebde6f6, 0x623c0ad3, 0xd52304a8, 0xb5fe5295, 0x234b1667,
+    0x0e598abc, 0x33e5af51, 0x207703f6, 0xcb51c477, 0x8690182f, 0x7757e4b9, 0xb9aa66f2, 0xe75274cf,
+    0xc6af37ed, 0x975aa0dc, 0x9fb83080, 0x456a21c8, 0x5a366831, 0xaeae7540, 0x02f23d6e, 0x55c8b934,
+    0x93cf7e06, 0x0fab5266, 0x7aaa16c2, 0xc47c9606, 0x93badf63, 0xf7561dab, 0x4385a081, 0x17a06525,
+    0x870759dd, 0x9072f837, 0xb76e743f, 0x6d4ed337, 0x6cda8e9e, 0xfdb6267d, 0x2f4ea34d, 0x7e7a621f,
+    0x2ffe3d96, 0x9eb610e4, 0xf72e0e95, 0xcd39a300, 0xc4991f90, 0x30f41c43, 0xcd1f275b, 0x8f642126,
+    0xe8d3ac13, 0x2bcf7da1, 0xfe9cda72, 0xd2ea2505, 0xcd89ae42, 0x8267559b, 0xe029c7fb, 0x62ef345c,
+    0x538c8f65, 0xf721e615, 0x365bd63d, 0xbc518275, 0x95c087a5, 0x21bab800, 0x33e37749, 0x469d9482,
+    0x18b4e08c, 0x423ff372, 0x27cb803b, 0xf1c78e1b, 0x2e328be4, 0x84b10201, 0x059afa70, 0x7f38e98d,
+    0xf67f369f, 0xd78bf80e, 0x8cc83f7a, 0x302ff3d5, 0x25b70ae2, 0xdfe7fb09, 0xd7e8665e, 0xfd9b3f11,
+    0xbd8a3e4a, 0xef01c27e, 0x7a5e07f6, 0xbf0f4695, 0x39cbd11b, 0x71ee996b, 0x8c88282f, 0xc806a261,
+    0xee6c9ab3, 0x7000ded6, 0xb2db51a4, 0x6b926937, 0x7618170d, 0x07067167, 0x38e33d28, 0x7362adc4,
+    0xdc8b8521, 0xc759520c, 0xad35a6ac, 0xe0ff7e84, 0x00fcfaa8, 0xa6dee091, 0x685dae63, 0x8272d0c7,
+    0x7dd4fb0a, 0x185867cd, 0x92f4fcb9, 0x2534e106, 0xb4850713, 0xc72d3029, 0x0db5f0fd, 0x594efb18,
+    0x243a6874, 0x467d1672, 0xa7e0b4ca, 0x0befadd2, 0x1d05ac36, 0x2a8dc354, 0x2755f441, 0x548a52e0,
+    0xa880ff50, 0x765e0683, 0xf30804ef, 0xe0f5e84a, 0x52c23bcf, 0x5c1008b8, 0xeec5de59, 0x889c1d10,
+    0x5ba24fdf, 0x7c87a6a6, 0x8aa3c3ac, 0xc08d59bd, 0xe97bfa31, 0x6295372c, 0x45cec37e, 0x83e6d542,
+    0x8ba3bd86, 0xb7a89227, 0xa9f35740, 0x785d9ec9, 0x7dca339b, 0x751d75be, 0x7f0a0642, 0x981bf66f,
+    0x78659325, 0x390c781d, 0x8576f5e0, 0x41e99f82, 0x3d4afbd2, 0x232f5890, 0xebef7e0a, 0xb713ef4b,
+    0x1c7c6d31, 0xf4a30278, 0xeb4ebf23, 0x141f87d5, 0xfa8d9e91, 0x8c9a9068, 0x335b93d3, 0x3653bdce,
+    0xe69f6559, 0x8b355c7b, 0x2552bf09, 0x75d25753, 0xb5a012ac, 0x11eee17c, 0xaceec097, 0x3f4b2c25,
+    0x7a95cb93, 0x12054177, 0x3802865a, 0x43c7b4ca, 0xfb01650f, 0xc01e365b, 0xc5397ab6, 0xa4570d82,
+    0x11f374a4, 0xa7c60ad8, 0xccad28aa, 0x36a460ec, 0x4255541e, 0xb409e02e, 0xef51f698, 0x2cecfb96,
+    0xecddfaab, 0xd0acfc58, 0x26d3c934, 0x3ddffa7e, 0xe25a36cc, 0x7d8cf407, 0x4417f58f, 0x7dd0b549,
+    0x02ddf869, 0x45475653, 0xaacc7177, 0xb3e15ad6, 0xcaa11e77, 0xcfb17950, 0x9604b90d, 0x4303d02a,
+    0xee90e171, 0xc3ac186b, 0xec6cdb98, 0x73b3c8c9, 0xa530d7b0, 0xf2e36d60, 0x6a07078d, 0x8d21574f,
+    0x98e7ddc5, 0x86859d4d, 0xb079bd57, 0xff9ca6ca, 0xb77effc6, 0xce94b5e9, 0xd0e22787, 0x6b38e828,
+    0xa76b7fff, 0x67a72987, 0xe05f845d, 0xa850471d, 0xfa1a33b7, 0xef253263, 0x85c7cf95, 0xdc28b248,
+    0xe79729e2, 0xf9467ff0, 0x392a5f16, 0x1d8bb1f2, 0x701c5bba, 0xa1fb5f71, 0x7189a8ff, 0x07357bcc,
+    0x3ea753a9, 0x1daa0aba, 0xc3e502f8, 0x01a5774f, 0x36f458b4, 0xca23a84c, 0x79db364a, 0x47573631,
+    0x2a7be416, 0xe02c1ae3, 0x4e5ab1ca, 0x34511a5f, 0x85c30040, 0x967e158e, 0xed4e3036, 0xeacbdfee,
+    0xa8784723, 0x724050d6, 0xdc5fb8fd, 0x64f2badd, 0xc9b4824c, 0xe1e03545, 0x9ec5ffb9, 0xbeaca950,
+    0x2aee7a7d, 0xd58e0823, 0xf1c78467, 0x620ca0f8, 0x4d64617c, 0xe7f79c71, 0x9552f207, 0xd5bc90d8,
+    0x13211a54, 0x4ec7a953, 0xd47a8ab5, 0x6bdd0a32, 0xd3d7178a, 0x42f25deb, 0xca6a2b04, 0x6d47bcee,
+    0x633af4ad, 0xb62833ac, 0x02d4ed83, 0x97def626, 0x81e87d5f, 0x3d2740ee, 0x14cde582, 0xce92a18e,
+    0x27a57baa, 0x04ee265c, 0xfc4c2313, 0x1f7eef27, 0xec7652d4, 0xc399e7d8, 0xdf02287e, 0x27aa1854,
+    0xc91f6c8c, 0xe3583f88, 0x89e784d9, 0x8a4f0a3c, 0x380ab3a1, 0xd2dac291, 0xda3d161a, 0xc5a12c39,
+    0xf96b6cb2, 0x67e1af9d, 0x09238f3d, 0xc216a7d1, 0xeb2611db, 0x490feca0, 0x50c25746, 0x7458b1c1,
+    0xa06e29e2, 0x17d3f959, 0xed35a2c2, 0xfc3f280e, 0x2255077e, 0x6f7a288a, 0x8bfda53a, 0x65610dcc,
+    0x969815e3, 0x0edf6ae5, 0x306230f5, 0xa2a76048, 0x2f5a1ab2, 0xd375435e, 0xb17291af, 0x0de27af1,
+    0xa713c7f7, 0x9c95068d, 0x4d6981fc, 0x50fcfad4, 0xff40c117, 0xd6d312cc, 0xc23b7138, 0xf27c6dff,
+    0xa774ebe2, 0x832877f6, 0xa85cf51e, 0xe2d482e0, 0xdf05b191, 0xb50ce08f, 0xeb229227, 0x12d3eb82,
+    0x19e55aa5, 0x7a753881, 0x024d885b, 0x7f2a3df1, 0xe017ea2e, 0xd1be0f1a, 0xe9b9b591, 0x618b1c98,
+    0xf9bf0272, 0xc5d8b1d3, 0x4058a582, 0x82c22505, 0x4e6ca1bd, 0x24a2575a, 0xc626350f, 0x8eb199f9,
+    0x65425797, 0x715fea8a, 0xdef1d799, 0x4c9bd12c, 0xf5f05f7c, 0x79648133, 0xaa625c50, 0x748bd456,
+    0x7a04344c, 0xa4843ea7, 0x2d42779e, 0x25c506bb, 0xe68dc22a, 0xf5fb2f14, 0x362e457c, 0x23b35950,
+    0x54ca8735, 0x69890109, 0x1e3fa0d3, 0x473933f4, 0xe0bbd8c8, 0xed808be5, 0x2c5586d2, 0x43cc49f8,
+    0xe6876f0c, 0x8c506478, 0x85ab50f6, 0x6fa70529, 0xc02ee605, 0xdaab1c5b, 0x147e4dee, 0x9c159448,
+    0x6b36f73a, 0x40909376, 0xe6fbbf3b, 0x7c41cee2, 0x6fd5d5df, 0x8e329dc7, 0xd8310775, 0xc8de03d9,
+    0xc6fdc5ff, 0xa49a796b, 0x2f9d459b, 0x059010ea, 0xeb5cff9b, 0x6d7101cf, 0x6a8b694e, 0x2f467f56,
+    0xaaaa3e6d, 0xb336dd3c, 0xae62f66d, 0xc3e1c684, 0xa3f48841, 0xf34aa22f, 0xb1ebc22c, 0x24700dcc,
+    0x6173f95a, 0x883381a7, 0xd51ed562, 0x70a286ad, 0x589cefc5, 0xdba44778, 0x0bfba521, 0x0412fffb,
+    0x7065de3f, 0xa56fe660, 0xb395b891, 0x207e7d82, 0xcb315fad, 0xf88ab5eb, 0xe1936daf, 0xbf6e7129,
+    0x18ce852b, 0x28fb126d, 0x23fbeac4, 0x1a6d9627, 0x429cb9c9, 0xfa467be3, 0x66ade936, 0x6dbe59ce,
+    0x04ff36cd, 0xe9d54ef3, 0x34ee1eae, 0xb35e8873, 0xbd3148bd, 0xa07bd55a, 0x1f0cd719, 0x8a416cb6,
+    0xb7606ae9, 0xc2603d3a, 0xaebf41fb, 0xedd7da9c, 0xac8170ec, 0x3f789093, 0x5ae25f0f, 0x5506fe39,
+    0x5779b150, 0x19d0dd8b, 0x3dc6172e, 0xef05c8cf, 0x767e6e0c, 0x5941096e, 0x1f745692, 0x9202be5f,
+    0xc4444812, 0x917af27e, 0x0273e174, 0x5114b83a, 0x553d93f5, 0xfbcb7e14, 0xdbc46d6b, 0x560dc9f1,
+    0xb5465273, 0x6dd706c2, 0xa20ec41d, 0xce5caf34, 0x0eb8e575, 0x7b048cbd, 0x9cb89e7b, 0x0e3af860,
+    0x5d57ba84, 0xf3a2fe55, 0xadb23aca, 0x8f61f357, 0xd91e3941, 0xbd727518, 0x718a6623, 0xd9f2696c,
+    0x6a57c45e, 0xe41ad3ba, 0xcb45457e, 0x1869d0c1, 0xc0476f7b, 0x8d14283e, 0xe56b3460, 0x68e34b19,
+    0x54eff1aa, 0xfbcf6312, 0x8c32d6ee, 0xad42edeb, 0xf043a423, 0x90ef1f06, 0x86b91c90, 0xd5b7343f,
+    0xdce5a6ab, 0xa6fb8822, 0x56598859, 0x75538a12, 0x1bc22b33, 0x20af2a1d, 0x2dd9873b, 0xd52c81c3,
+    0xbeae9eff, 0xc6873436, 0x35ed5a9d, 0x14cf689f, 0x28f78e3a, 0x25c6d2c5, 0x6e6a6ea1, 0x8727e202,
+    0xa93a58c6, 0x5b8e82fa, 0x8c59ac44, 0x9b46df7a, 0xf8a68933, 0xed2a20ff, 0x10f6205f, 0xb8656674,
+    0xcc6d539f, 0x2d055a30, 0x2bb17cec, 0xc03fa973, 0xad9d413b, 0x56256df4, 0x5da34d11, 0x45ba981e,
+    0x958b4f75, 0x0124ea1a, 0x5134efa5, 0x88b65ff7, 0x1ca24bdf, 0x1a1aceac, 0xffa0f2d3, 0xacacfffe,
+    0xac8835bd, 0x2593a0f1, 0x31f1cf74, 0xfb5a29a5, 0xe4a12512, 0x1d3ad221, 0xb6c03abf, 0xe44aee03,
+    0xecca32d1, 0x2d09ce99, 0x3d084d1c, 0x4018600a, 0x133fcab0, 0xabcc4dc6, 0xd289f974, 0x2bfc0828,
+    0xcd10e159, 0x04553ebd, 0x4dc0374f, 0x430563b1, 0xc14cd679, 0x5d19e8ac, 0xd28b9125, 0xeb6be81e,
+    0x2a67eeec, 0x85c3ced0, 0xe509fefa, 0x9b74c3cb, 0xeb0b50a0, 0x108a220f, 0x3cf7182b, 0x5336e696,
+    0x051fbcec, 0x24e8ed47, 0xe365561b, 0xd49ea1a7, 0x4bbff2e7, 0x4a8a3e8d, 0x28563a69, 0xf4534652,
+    0xf354c60f, 0x5382fb71, 0xf2c8d246, 0x98080c96, 0x4da042e6, 0x374d1e05, 0x42534572, 0xe9d93d39,
+    0x59dc9e05, 0x20f153d6, 0x942e4cbf, 0x0c917e2d, 0x2798d264, 0x7f39c48c, 0x717d800b, 0x69772951,
+    0xe4af154b, 0x85ca6535, 0xfa8fb699, 0x1996630f, 0x2e455243, 0xba3c25a0, 0x26ae2c5d, 0x59a5d169,
+    0x7554d61a, 0xa2d38c3e, 0x6bb0c995, 0x0a9bd7b1, 0xdc359065, 0xdbd80435, 0x2ff15d29, 0xd87cddf5,
+    0x85a7d861, 0x7df5430e, 0xd06f8784, 0x581313d9, 0xa664767f, 0xc26d4861, 0x613f525d, 0xc061b498,
+    0x7687fbd9, 0x3513c727, 0xb4fdb90f, 0x6f5ceb75, 0x34995696, 0x746925e8, 0x01d2f7aa, 0x7ec65916,
+    0xf5e5211e, 0xba340b60, 0x57ab48c5, 0xaa0e15dc, 0x5c0015f1, 0xea61c855, 0x617839be, 0x3541694f,
+    0x8e23f45b, 0xd3a3c9d2, 0xff253f06, 0x50aa2845, 0x27341dad, 0x40d1e532, 0x84e511bc, 0x6ac72ae5,
+    0xb79fff23, 0xfa1b02aa, 0x6dc32a9c, 0xb8975d53, 0xf997f867, 0x53f4d61c, 0x777a97d2, 0x30dcd6ac,
+    0x7dc4432b, 0x57df8231, 0xa6c16871, 0xa62966c9, 0x4d50b92b, 0x0f5596bd, 0x6de09826, 0x0b3c45fe,
+    0x1e80112d, 0x35860ae9, 0xb46eb02f, 0x00d2afbf, 0x00815e75, 0x03573fcb, 0x32b46a1e, 0x15b618e7,
+    0x91b8e890, 0xd98bf8f5, 0xe04d76ee, 0x0436d5a3, 0x43545dc0, 0x99bc4b2f, 0xd2272ecb, 0x61fa3eac,
+    0x8b8c076a, 0x796f7c0e, 0xa0a77807, 0x3de6c3d9, 0xe268139b, 0xcc663ce4, 0xbcd32f5c, 0x4ffcfea3,
+    0x3f683080, 0x67dd5cb9, 0xc19ad651, 0x298a4a90, 0x5fcd65eb, 0x4bb35a28, 0xab0f821d, 0x7648c145,
+    0xa1d7693e, 0x20cc9d6f, 0x725242a2, 0x63aeb302, 0x712ab18c, 0x5c265021, 0xb6628c75, 0xf75a8460,
+    0x3735faa6, 0xd6a4c44c, 0xff3eb55e, 0x20b9542a, 0x593e40c8, 0xbeb36171, 0x9eb93ce6, 0x2fe104a5,
+    0x606745c1, 0x110a169c, 0x1e3658e9, 0x9ccd2cb8, 0xf242c12b, 0x1bce006b, 0x8a6cba52, 0x79df4282,
+    0xf2c4c5ec, 0x69cdd594, 0x41732e85, 0xc3a41e23, 0xf1b3b77a, 0xa78c1839, 0xea32dfaa, 0x977f2a98,
+    0x6fd34194, 0x0b3f2588, 0x20e1b111, 0x1f06beaf, 0x2bc6b372, 0x7a3fcb9d, 0x716581c7, 0x78fe7b22,
+    0x5d8107bb, 0x37bfe560, 0xd4d548c3, 0x074f392d, 0xe9a7063d, 0x70f5c245, 0x475d7e71, 0x87546c17,
+    0x00000000 }, /* 10**00000511467282483772167189560890129312367533850319694228873356764276265020905\
+                         68823039920051095192592252455482604439493126109519019633529459266458258243584 */
+  { 0x00000000,
+    0x40006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404173,
+    0xc2ce8332, 0x87ef4eea, 0x8f9d1f12, 0x5f55b1d6, 0x85eb0a1a, 0xf72402b2, 0xe52a67f8, 0xb166a7af,
+    0x00000000,
+    0x893e80ff, 0xd9d42837, 0x7005beea, 0xbcc2e459, 0x84cfae2d, 0xf63d9b60, 0x2884102a, 0x54bfa0d1,
+    0x046edef3, 0x3b2c0524, 0x8cb2e384, 0x50afbfa5, 0x685f8ff0, 0x5c4e63ef, 0x65d8d757, 0xb63557a7,
+    0x44f0a817, 0xe8f69327, 0xfb1ba5a2, 0xbbe0e792, 0x02fdbd9d, 0xf879d108, 0xe9713114, 0xbd7931e1,
+    0xe551ab5f, 0x42e5c8b6, 0xa57f9d0b, 0x60a1c99c, 0x04e8452b, 0x4ac8eb61, 0xf5ab532a, 0xcc6a0a1e,
+    0x1baf76d3, 0x45a23d7e, 0x31173f43, 0x947936dc, 0xeae0d86d, 0x4f119aa9, 0x5b370324, 0xe44cfbf8,
+    0x59eae7f7, 0x5bb80335, 0xb40a82fe, 0xcb6eb79b, 0xde10e42b, 0x74583780, 0x15db057c, 0xb30197fd,
+    0xd6ab0b78, 0xdca139e2, 0x884d1cec, 0x7cc98b6b, 0xaabe00c0, 0xf9b10280, 0x231a69a2, 0x44396eef,
+    0xb21dd786, 0x1dbc6d84, 0x7d644c5b, 0xfeee9668, 0x70c58830, 0x38925224, 0xd6db4a27, 0x8dc9c708,
+    0x0713c2ee, 0x8bd186fe, 0xb00f9c33, 0x026a1acf, 0xed853e39, 0x47869e9c, 0xfafcdeb2, 0xb49e836c,
+    0x26077ce2, 0xfad405c9, 0x2599b7f1, 0x14a5809f, 0x4ac63a23, 0x2c7f212d, 0x28097b58, 0x4ab99ab5,
+    0x4295c48e, 0xc99bc881, 0xb5d79b84, 0x0619b4ac, 0xb3333b2f, 0xeb184042, 0x2778d9df, 0xee44641e,
+    0xe0e833ac, 0x5047f131, 0x3ff177da, 0x71193aa1, 0x07a87fa5, 0x5f3bd99b, 0x131f6638, 0x4717f28e,
+    0xfd3759c9, 0x21773a98, 0xf810ac97, 0xaaee0ffd, 0xa549963a, 0xd6814804, 0x0e151db7, 0x7ec5b37b,
+    0x44c39dc1, 0xe332e71d, 0x14018bb6, 0xc606a5ee, 0xd37805ed, 0x2c4b8580, 0x61f9e16f, 0x6bacd277,
+    0x539587a5, 0x85050ab3, 0x3ecc84ce, 0x99719949, 0x33747d61, 0xa8632dfe, 0x2c52d739, 0x8ddc2176,
+    0x338603b0, 0xa6d7c501, 0xa539b328, 0xb890d236, 0x7fd74a73, 0x2236aaa7, 0xfbde078a, 0x28891f6a,
+    0x2c081949, 0x646989be, 0xb28efa4a, 0x67e75525, 0x4a97fd4a, 0x58e4e150, 0xcf6d43e4, 0x220eb17e,
+    0x3a9cda1d, 0x777be43d, 0x205874fd, 0x03f7dda5, 0xe2aa2b92, 0xaabe2ee1, 0x668449e1, 0x46bacc8b,
+    0x3d83a2bb, 0x840d7e65, 0x6c934325, 0xbfeb9506, 0xb7b31260, 0x5692d9d8, 0x2def8147, 0xb52d8438,
+    0x7b45cd31, 0x38b25518, 0xf261be35, 0x0148c233, 0xea841a6d, 0x34a4d5cb, 0x99bc33c8, 0xae606b2b,
+    0x4f865641, 0x795f3e96, 0x7d78627a, 0xdb4bfaaa, 0x013fc95e, 0x1a1edbc2, 0x91481377, 0x7c9e3225,
+    0x4f7a0a8e, 0xaec0ab6c, 0x8453d0eb, 0x71fb9eaa, 0x34498a05, 0xab645db7, 0xd492d22c, 0x667abcb0,
+    0x378d1372, 0x35d10f7d, 0xc70b3bf2, 0xd19a4f8c, 0x5de5c46b, 0x63f0df78, 0x926d723a, 0x7347cac8,
+    0x920e8f12, 0xe26a391c, 0x8c06dee7, 0x66264290, 0x65de395f, 0x5cbe9301, 0x2c703e2e, 0xdf258035,
+    0x36bf14fc, 0x9ae3cb9f, 0xe2878eac, 0x438733d1, 0xef246802, 0xb881172b, 0xa80397d2, 0xb06fb19c,
+    0x987f4109, 0x6b78b9ec, 0x5090ea69, 0x2a133549, 0x05043452, 0x76b644c8, 0x3e5715a4, 0xd765c4c4,
+    0xf36a4943, 0x14a79a16, 0x0583f819, 0x4a682fd3, 0x7652aed6, 0xf2c1888b, 0x1433bff8, 0x29979fd0,
+    0x013b59b4, 0x008de385, 0xb250fa52, 0x1e158534, 0xe1ce8eef, 0x128a9e20, 0x03106845, 0x39f42769,
+    0x6cfd1b0e, 0x106dcf2b, 0x344b93ac, 0x190fd4c9, 0xf0b31ea2, 0xb03a4608, 0xe876207c, 0x4fbe0bdc,
+    0x61faad90, 0x6f312e4c, 0xd8ed91a7, 0xa405ee22, 0xfb9c6eaf, 0x57946ae9, 0x11a2c2ad, 0x06f1dbff,
+    0x7d9e5b7f, 0x10db7030, 0x5eda81f1, 0x43a30779, 0x093dd24d, 0x380581a3, 0xc74f52c7, 0xaef99c1f,
+    0x6af1b071, 0xa0f80f51, 0xd2b113c4, 0x686a885c, 0xb437e529, 0xe045cacb, 0x39d1db58, 0x28176a2a,
+    0xcf18a44f, 0x45db1cd6, 0x61f6dc30, 0xbe3384fc, 0xd0620fdd, 0x907ca061, 0x5eb461dd, 0x8544cd82,
+    0x5093693c, 0xce03997a, 0xc6c114a8, 0xf03f34b9, 0x9e7b0044, 0x6486c6a9, 0x8aa4c002, 0x5f638543,
+    0xf3d0ca24, 0xb91dad74, 0x17db9cef, 0xba64341b, 0x39577d9c, 0x6d203486, 0x6a44c1a4, 0x407b357e,
+    0xb11261ae, 0xea93430a, 0x7e87b7eb, 0xc9c21a0b, 0x4e0e72e1, 0x82f48b08, 0xa6614e12, 0xbfc2b453,
+    0x9054de5e, 0x111986ae, 0x17e4929b, 0x3a9b621b, 0xc65ea385, 0xa7580d74, 0x1d03e3e7, 0xc12e0447,
+    0x22400621, 0x003d229a, 0x96b0938a, 0xf04d895c, 0x258e6b42, 0xe362a392, 0x3ddf039e, 0x9c5ee9af,
+    0xc1ff3cde, 0x68576ab6, 0xe7bbec58, 0xd7f0cd98, 0xaee219bb, 0xc10aa01c, 0x150b0f28, 0x7a01879c,
+    0x7a42469f, 0xc6e2195a, 0x2ecd31ff, 0x1da1138d, 0x91d26952, 0x8d69fe96, 0xe0711648, 0x9d5da756,
+    0x6263a857, 0xeb2ef046, 0x21841c03, 0x51307265, 0x7f7d9625, 0x0e38816c, 0xf4511d22, 0x95989302,
+    0x8478e4f4, 0x7b658846, 0xc1d1618b, 0x25213784, 0x22fbd146, 0xec7a0a74, 0xfb58b9cc, 0xf6380f77,
+    0xdbd8c018, 0xd5877baa, 0xe211ca39, 0xfa91f9a1, 0xf07620f5, 0x6bfaf34a, 0xf657e923, 0x3364a695,
+    0x984986b3, 0x2612147a, 0x2c7f5f7f, 0x238c0d0b, 0x80c9870d, 0x95905b15, 0xe5192708, 0x3fc47083,
+    0x3f3ee2b0, 0xb567f457, 0x78a7061d, 0x8596a1c2, 0x047e77c7, 0xd04f69d7, 0xcd128d2a, 0x802e5296,
+    0xf626cea9, 0xddfc88e4, 0x8874bb48, 0xa2f0c927, 0x3584dcb6, 0x4890a15e, 0x724a3835, 0x01896c22,
+    0x53c3930d, 0x66e9073c, 0x384eff0f, 0x4484ef68, 0x715b0565, 0x1386d1aa, 0xf374be2d, 0x56f5adef,
+    0xa6552cdd, 0x0c07cf6b, 0x58d7a088, 0xfa551dfb, 0x503cfb0d, 0x079bbceb, 0xb61b0f95, 0xc4e1a25c,
+    0xd58dd23e, 0x063e4b8c, 0x9dfbdf18, 0x0042b008, 0x521f6d09, 0xa80df250, 0x1bf6ddd8, 0xa8a530b4,
+    0x873a1ba5, 0xdb2ac924, 0x24fbd46b, 0x372a0771, 0xfb28d2d9, 0xebca6419, 0x06a243d4, 0xa117e8b7,
+    0x4be49410, 0x30ab2a7f, 0x6a514a98, 0x1a23b675, 0xec61df55, 0xe0f317fe, 0x52738eec, 0x98448a98,
+    0x3edcf3a6, 0x4d326871, 0x01634b50, 0x95ea0cc3, 0x48c4c199, 0x25b8ebd0, 0x7599fb1e, 0x244fc6d3,
+    0x3b2970b1, 0xbfc19cfc, 0x381ab022, 0xe2d14cc5, 0xe4daca87, 0x8352e97a, 0x5009b157, 0x7db9b9db,
+    0xb5e19ca7, 0x73af88d2, 0xb36988a5, 0x2af891a1, 0x1b259715, 0xb6c0c4f5, 0x59a62ee6, 0x070538bb,
+    0x35455f24, 0x11bd7d69, 0xd511ed99, 0x980bebfc, 0x781d0c05, 0x758da601, 0xb486d8bc, 0xa9140c81,
+    0xbd240820, 0xc6965901, 0xf59228d2, 0x69406577, 0xb2677e8a, 0x7729ef9b, 0x01f6f644, 0x825d0848,
+    0xf523265e, 0x859576a3, 0x4e25c113, 0x48f6426b, 0x401e3ed5, 0xd97b95e0, 0x5fe4fdfe, 0xd1c65391,
+    0x7d9aa490, 0x4d1f5fa7, 0x8649484d, 0xadbb8663, 0xe2632b7a, 0x33eb7858, 0xcd72ce9a, 0x48bae3e4,
+    0x1b3d2e0f, 0x878d322b, 0x7a7b2c53, 0x65158db9, 0x2dcb06f4, 0x55645109, 0x0616bbe5, 0x6eca8961,
+    0x36692d5c, 0x0611f408, 0xf6f19e23, 0xad21dc07, 0x5bae6862, 0x9a0a42c7, 0x0f42da93, 0xeb4ad734,
+    0x0ae320fc, 0x4c7c0e5a, 0xf13b6977, 0x4a42f640, 0x0accdb9d, 0xc5fc9326, 0x39a1cb6e, 0x4a4c3e13,
+    0x4cad8809, 0x2c35eaf7, 0x4f7b9ce7, 0xb6386bcd, 0x20cb2a2d, 0x802d65ad, 0xe194454f, 0xa543de79,
+    0x31865fe0, 0xb40ddffb, 0xd0724211, 0x4bbe378f, 0xc4c50d3e, 0x52d8eb4f, 0x5e77f146, 0xffa34617,
+    0x82cff283, 0x34691502, 0xd70df027, 0x18d64989, 0x4edd4bc5, 0x2d4d5d75, 0x29f3a284, 0xed3d1e5d,
+    0x44009282, 0x198db3de, 0xd064157e, 0xb1bbd2d3, 0x02cff163, 0xb0ecbd97, 0x3271e9c0, 0x7543a59f,
+    0x913675ba, 0xc75447c6, 0x5cd73546, 0x2c765d2b, 0xfbee6c9f, 0xa7337eac, 0x1bba9af9, 0x036cd98c,
+    0x2025c78c, 0xc33cbc86, 0x715bdeac, 0x3130bb24, 0x85b334a0, 0x61e59c3e, 0x717b19bf, 0x8d7a1fda,
+    0x9ef924b0, 0x87021242, 0x047c7c38, 0x50ab8574, 0x7a33b7a8, 0x0c583b8c, 0xd7ae581c, 0x01f71329,
+    0x75798034, 0x365e564d, 0xc4154fb7, 0x8f91d7c4, 0xce7b39d2, 0xab7c92e5, 0xe4f1058e, 0xf0d78cbe,
+    0xcdd33a2c, 0x04fbade7, 0x207c92de, 0xa378b930, 0x634f0062, 0x26479daa, 0xdd9bb491, 0x73db10a2,
+    0xaf7cffe5, 0x4e0f4806, 0x835299cb, 0xda423b61, 0x5c3a79fc, 0x8aadb809, 0xf5d1ae58, 0xbe731427,
+    0x6748f50a, 0x825d0ed6, 0x0574fe38, 0x78c29d69, 0x5b609926, 0xaf2be82c, 0xc3db5913, 0x78aac05b,
+    0x210d2b45, 0x2452226b, 0x01b69c73, 0xe793a97d, 0x3edfbff5, 0xd469dbf9, 0xd470379b, 0x9db1651c,
+    0xac62d60f, 0x2de645e3, 0x614da3a5, 0x26bcd761, 0xefadc3dc, 0x047a90ea, 0x49774008, 0x9caf069a,
+    0xaf72ca45, 0xd55e1d1a, 0x16803a30, 0xf750aa56, 0xe147c6ac, 0x4ea2a6e9, 0xf7829873, 0xf304a006,
+    0xcf9128fa, 0xa41a9a70, 0xa7b7a4f3, 0xc2387b45, 0xa28dbff5, 0x6d7efd70, 0xc58bd5ea, 0x410ea3b3,
+    0x3183e0a8, 0xf2b9fbc6, 0x3e560dc6, 0x73a0551b, 0x64302657, 0x7de88b4d, 0x7cfaab4d, 0x1b913e98,
+    0x04cd76f5, 0x72ce4491, 0x2960cdea, 0x59b6c941, 0x997d4d16, 0x38bc0684, 0x52cd0cab, 0x4aee29f4,
+    0xc40137e9, 0x86ffe791, 0x2d32c559, 0x9e701a72, 0xa4937996, 0xe49f5a21, 0xdbefd89f, 0x085a14ee,
+    0x84377b8f, 0x40033492, 0xc6cec062, 0x2993b330, 0x4c6c2ba3, 0x75e0debc, 0x3a5f104f, 0x5d844b59,
+    0xe1a8d48b, 0xec48c1c6, 0xfe9844bc, 0x204928ff, 0xb6bd1152, 0x125e935d, 0xf6e6ea4f, 0x5a004773,
+    0x9eb851dd, 0x73d848f5, 0xaa09d5f8, 0x96435cf0, 0x7bc7fdeb, 0x14ea57c1, 0x1cad1822, 0x368fc9c8,
+    0x1dc41ed1, 0xb5f9351b, 0x9e078e1d, 0xcb9dae94, 0xefd674f5, 0x834068b3, 0x9bf67be5, 0x6e57f07b,
+    0x83bbc1d1, 0x28c286c8, 0xe07f6a31, 0xb82a1cf2, 0x02d136cf, 0xf4772b5e, 0xbc665a61, 0xb8a02a45,
+    0x82674d85, 0x21cebf42, 0xcf694bde, 0x434896be, 0xab7982f4, 0x20a25d0c, 0x217cfc2c, 0x9e9674cb,
+    0xc1b8d68a, 0x5b212f3e, 0x2861a542, 0xc6cf8647, 0x9600d65e, 0xb0b223b7, 0x6ae5f9d6, 0x3036d8a1,
+    0x76fd164b, 0x4686bb90, 0xb5365929, 0x335a30f3, 0x115130c9, 0x6d5d84b4, 0x33abd4b6, 0x4a2a1a15,
+    0x9287c636, 0xcd2793d4, 0x473b8665, 0xf15075c6, 0x78a6ccaa, 0xd47f58ab, 0xac37e830, 0x99acc1b9,
+    0x784d598e, 0x6966fbdf, 0xcc45834a, 0xa205b5e9, 0xa46fd0b4, 0x39dc2e42, 0xce0176b2, 0x1809cb5f,
+    0x5ce785ff, 0x8bd81f99, 0x039b3a8e, 0xdd9ed376, 0x66ac4b07, 0xecac6761, 0x11695088, 0x6705c0b4,
+    0x8ec3c914, 0x5e15cb05, 0x5194bdb8, 0x99f76726, 0xe7eb45de, 0xb74ccd81, 0x9c474976, 0xcde2a530,
+    0x43983fbf, 0x048a34b8, 0x8b66eb0e, 0xe4ac37ab, 0xc75a3390, 0x4b4d0db0, 0xdb0f4e74, 0x156e753b,
+    0xd71dab7b, 0x43f9edda, 0xb3f47454, 0x20403c31, 0x05d000f6, 0xd1656047, 0x68cdff08, 0x92a73aff,
+    0x73536aea, 0x4f4cabdb, 0x8512052c, 0x9ac259bf, 0xeb777a80, 0x820f60de, 0x887285b5, 0x1934d44f,
+    0x9745087e, 0xd17948b9, 0x9b368288, 0x2a129bd4, 0x4c4254cd, 0x5accb83a, 0xaac3a5c7, 0x4942b0ad,
+    0x07ae7d4f, 0xd23ba1b5, 0xa715ca3a, 0x98e3e538, 0xac848fdd, 0x7463cf4b, 0xd19e2530, 0x383cbc39,
+    0x57a56d38, 0x5913e306, 0xd4aa498a, 0x657a03b8, 0x2b436842, 0xa3c9e482, 0xa1e31732, 0x0ad3a623,
+    0x61e76e89, 0xc952d1ca, 0x802f9c28, 0xdd67cd9c, 0xbd1656b4, 0x5cf6d70a, 0x6d561735, 0x910d3caf,
+    0xda0ed94c, 0xe241bb4b, 0x6806cfc9, 0x930aac5a, 0xcf85ddc8, 0x6c398575, 0x06c9e893, 0xb2da4e7b,
+    0x20f2532b, 0x6213759e, 0xb4adde28, 0x24a83ae6, 0xf900d2ad, 0x50c0c164, 0x3f95a445, 0xb063b75a,
+    0x10ba8aaa, 0x8fa8f0f7, 0x1ddfe143, 0x3aa0ad4c, 0x598acd05, 0x8f33c653, 0x7dfcd3e0, 0xa3aa90dc,
+    0x26326b85, 0xc3f583c6, 0x5893da11, 0x21ee2fa6, 0x0a8ed8e2, 0x39796f0f, 0xca0b4ef1, 0x56cd9b2c,
+    0x6f4d58e6, 0xd87bf765, 0x5fdde84f, 0x960199df, 0xd2be8c46, 0x781cadd2, 0x55e0e8ce, 0xeebe7ad5,
+    0xf6cb8e3e, 0x0de3fdfa, 0x4923688e, 0x3bec5749, 0x684f4055, 0x848d4ce2, 0x7aa9a1a7, 0x4a541541,
+    0xb4a7a302, 0x5ef9d959, 0xa1220fa4, 0xa638cb33, 0x5059fd44, 0xadb4ee03, 0xd96fb1a2, 0xfac288f5,
+    0x3c4a67b9, 0x88b12a24, 0x38368c7b, 0xe58f0d2a, 0x50963389, 0x8647c0b8, 0xcb0c1847, 0x2ce2f987,
+    0x431da3bc, 0xb0622f94, 0x7ec8bd99, 0xfe8eca8b, 0x4f5fae28, 0x4706e755, 0x35767113, 0x9e3ca131,
+    0xae7d65d5, 0xef149a4f, 0xca9f8756, 0xbbca8bc8, 0x95f8b498, 0x0a59f5d5, 0x5a7d68d7, 0x2f9ee986,
+    0xd427cce5, 0x93aafc00, 0x77bef1a4, 0xb55ded38, 0xc6e48820, 0x3e0ccacb, 0x6660bc5c, 0x3ea72b95,
+    0x8236c637, 0x8ee54f69, 0xcafc4ca0, 0x17e86ac9, 0x228a46a9, 0xe6169616, 0xdaf30999, 0xff808996,
+    0x0035e458, 0x9609289c, 0x9ccfe800, 0x24132ad0, 0xee2981c7, 0x296c6178, 0x6c78979f, 0xec3dceff,
+    0x47cd4444, 0x37a86d76, 0x4ccc463b, 0x0f621aa0, 0xd751ef8e, 0x6a80c4d5, 0xdef86a04, 0xea6c55e4,
+    0xb7016142, 0x4c766b84, 0x60d16c31, 0xa3f19677, 0x3f95269e, 0x2287ba01, 0x7f878d39, 0xb8ee0ec7,
+    0xde521b37, 0xc728f0c9, 0xc4e9f281, 0xbe964699, 0xc305c657, 0xa7392f90, 0x19aea65b, 0x307b4e15,
+    0xb09e24ce, 0x39ff0261, 0x070fcf85, 0x06d20bdc, 0x4edaed8a, 0x7309b4c8, 0xaa3a7446, 0x6e112b1b,
+    0x4789aceb, 0x048a53eb, 0xa2417c69, 0x2a400c72, 0x5a5fba88, 0x53484766, 0xc632e7f8, 0xe2e52c64,
+    0xff5a05e1, 0xa47a5d47, 0x621eb399, 0x2703b17f, 0xf5d3b711, 0xd244a780, 0x63d15977, 0x5c4e7b42,
+    0x9b145afa, 0xc3dd0493, 0x82898c4b, 0xfbb7f161, 0xe91497ce, 0x597d2f1d, 0x30b21705, 0xb6ea423c,
+    0x4200abad, 0x01d03f4b, 0x4edf336d, 0x3b934fb2, 0xc4b0c369, 0xa35f8045, 0x3b0d7986, 0x17d038e7,
+    0x3c4da8cf, 0x8ed2d914, 0x6f42d38e, 0x1b8efc6f, 0x14d7050a, 0xcf911fec, 0xe0dae1a0, 0xad2c50c6,
+    0x42013a37, 0x121001df, 0x3b03b190, 0xad560133, 0xef0fa7e8, 0xf4134e72, 0x59034a05, 0x3a044e68,
+    0x7d57418c, 0xa8c359d3, 0xfc23376e, 0x5eac3a17, 0x14aa04c8, 0x77ddaa93, 0x0ba01085, 0x32d11c2d,
+    0xe44695cd, 0x4f837017, 0x02fb6724, 0x329ea626, 0x300c3800, 0xd64742e1, 0x812f747d, 0x6dcba4d9,
+    0xfc033b8c, 0x8be6b587, 0xe6037f6f, 0x306b1272, 0x4135c4a6, 0xb6e7150c, 0x20c583bb, 0x3a1797e8,
+    0x1fad996a, 0xecb059aa, 0x3307cbe9, 0x0b52c3e8, 0x149bb593, 0x58aee944, 0xf1672820, 0x91d0ef0a,
+    0xfc3d14a6, 0x9e07e0f0, 0xb51eb8ed, 0x589729bc, 0xde6d2b4d, 0x1ad94e2a, 0xac7dade9, 0x45431f2d,
+    0x00000000 }, /* 10**00000255733641241886083594780445064656183766925159847114436678382138132510452\
+                         84411519960025547596296126227741302219746563054759509816764729633229129121792 */
+  { 0x00000000,
+    0x40003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b9,
+    0xe1674199, 0x43f7a775, 0x47ce8f89, 0x2faad8eb, 0x42f5850d, 0x7b920159, 0x729533fc, 0x58b353d7,
+    0x00000000,
+    0x848aa06b, 0x3af0cb8c, 0x8eb76da7, 0x5aa8a6c9, 0x4e7e7312, 0x7b020579, 0xb0c1754d, 0x8ede2de9,
+    0xe9d51e7d, 0xdd81ef7a, 0x28cdb153, 0x04394c31, 0x5981499b, 0x3e39e993, 0x936e9ba1, 0xd919b65c,
+    0x42d54971, 0xad94ac1a, 0xeee8d732, 0x03baa308, 0xf80081d0, 0x688563da, 0xff9c092f, 0x65d8baab,
+    0x2d467a15, 0x24197425, 0x28d63b19, 0xf4c8d9ac, 0x1422dfbc, 0x5294c008, 0x86725cdf, 0xbfd88864,
+    0x07e10ad6, 0x2374fff5, 0x3e95e623, 0xa60c163c, 0x08369c44, 0x7ad81204, 0x1dd42a9d, 0xc4285cd0,
+    0xe7decf95, 0xd9fce237, 0x4349e319, 0xf8cd391b, 0x1b649fa9, 0x56f63856, 0x43697406, 0xf7e0cc84,
+    0xe592bbd7, 0xad747056, 0x8ebdb2d9, 0x3b025025, 0xf8f17d36, 0x2e419309, 0xb020cb57, 0xced1b08e,
+    0x70d4fa91, 0x22413337, 0x1d4a773d, 0xba6fa72d, 0xb53927b5, 0x661c291d, 0xf9efc97a, 0x865a8821,
+    0xcd35f6b5, 0x2ded0d20, 0xf0bbad6c, 0x8e9e3b83, 0xa7c1331f, 0x1a7265af, 0x77321fa6, 0x7d9829e4,
+    0x3cde5a0b, 0xeaba5fa0, 0x6d435ba4, 0xfeab546c, 0x7ccbc170, 0xe68ab7ae, 0x25469eeb, 0x8b067f93,
+    0xb686102e, 0xcbb73310, 0x60ff57c5, 0x926262c9, 0x16b47bfd, 0x66625e1a, 0x5bde6044, 0xa8d978e8,
+    0x5a0e5a82, 0x9f2f00c1, 0xa28c4730, 0x4bf8913b, 0xd333afec, 0xf62c73a7, 0x66558e16, 0x5f856e7b,
+    0x2cfa398d, 0xc50fe5ed, 0x238903f0, 0x6baaf6e8, 0xffed0eba, 0xeb13160e, 0x4c4b54b6, 0x5809d406,
+    0x3865ad3c, 0xb2556f9e, 0x50c950a4, 0xf5b00721, 0x8c865ba2, 0x48d41143, 0xc92fbdec, 0x59658cf1,
+    0xe28687fd, 0x516ad835, 0x8cc9780c, 0xc61a1be7, 0xeae75301, 0xcbb61c3d, 0xc3275221, 0x05cf83b3,
+    0xf4baea28, 0xdc52f01d, 0xe4ae2133, 0xd365a611, 0xdd0d1942, 0xa6a99ecb, 0xeb728b11, 0x44bdc53b,
+    0xee0dfa26, 0x7b26546d, 0xd662b3bd, 0x3debb03d, 0x3d95b9d6, 0x079b8aa9, 0x2e98fcd6, 0x73c34646,
+    0x5d635256, 0x6fa495e0, 0xf104f616, 0xa55aff56, 0xc1a28ca6, 0x9813483f, 0xd9a45702, 0x8fa45c66,
+    0xb7bd5e01, 0x50674944, 0x3d897a3b, 0x80360745, 0xdf90909b, 0xfa85fd46, 0x91d42950, 0x5d9171e5,
+    0x20cdeec8, 0x0d393890, 0xc20a500d, 0x72a868ac, 0x186ddd46, 0x4594db54, 0xf3c2b309, 0xadee95fb,
+    0x21c1ce0a, 0xc3ebc564, 0x32f1763f, 0x68407364, 0x3b58bfd4, 0x18859ac6, 0x2efc2fd4, 0x19dad2a3,
+    0x26e2e864, 0x31b9d196, 0x9950e936, 0x4aa7bd27, 0x0b9f912f, 0x5b4fd5ba, 0x810c4f51, 0x37cf86f0,
+    0x7376649d, 0xc0299869, 0x4e171fd5, 0xe06d0992, 0xda8a0c3e, 0xdfc2f9a7, 0x1de46f3c, 0x2f471424,
+    0x36550be3, 0xdda9bfe0, 0x323d9e12, 0x315cd8c0, 0xdd9d9903, 0xd180053b, 0x82ac52ae, 0xae32264d,
+    0xc7ca891c, 0x876c74f6, 0x2677cddc, 0xda684918, 0xe3ead59a, 0x4bd9f11a, 0x94d405a6, 0x7cbcedb2,
+    0x5c4cd451, 0x9420402e, 0x516b2bad, 0xbbb48fe4, 0xfba8e811, 0x99f10d42, 0x201323a9, 0x3017c225,
+    0xebf48b20, 0x2aef2733, 0x8b05baab, 0x472f0586, 0xdf82595c, 0x138f13da, 0xea0a8cd7, 0x140e1fdd,
+    0xab97b4ac, 0x31c94183, 0xa6dd8e45, 0x88ce5bf7, 0x50c94b31, 0xcabebdf8, 0xa95f48a8, 0xc4db8f64,
+    0xd42cea97, 0x71498390, 0x811009de, 0x1679475e, 0x30338073, 0x5069dd2c, 0x6463522d, 0x0b75a5a2,
+    0xb8a6b330, 0x173cf4b2, 0x2c9cd903, 0x57d6d61b, 0xd670c371, 0xd78e24e2, 0x99325fb0, 0x9d705f0a,
+    0xd00b7b11, 0xe465a035, 0xbfb02cd8, 0xc4b3e5f2, 0x635fe630, 0x28a33b33, 0x2c757d38, 0x471d59e0,
+    0x31028b09, 0xe648719c, 0xfc849e36, 0xa5196d38, 0x474d171a, 0x1af0360f, 0x4db8f0a3, 0xf4fa0bd7,
+    0x44f8c546, 0x9de5deb7, 0xac03ca14, 0xce2c14ca, 0xcc864c5d, 0x5df45910, 0x340a2d83, 0x6354b33c,
+    0x407800ef, 0x19a3db89, 0xdde11d83, 0x58b9a744, 0x9ecee187, 0x68fd7a1f, 0xaa5bea17, 0xc7910263,
+    0xd107a637, 0xaad8f5a4, 0xbbeabbb7, 0xa6981e24, 0x5e41857c, 0x0cb824c5, 0x024da96a, 0xba79aaf2,
+    0xd0bcebbf, 0x68c9b13a, 0x09c5ccee, 0x10a1dc52, 0xa1648fe2, 0xaf457adb, 0xda0af4e4, 0x528d303a,
+    0x45c6e50c, 0x548a52a7, 0x84997049, 0x1a40c594, 0x4199bc5b, 0xfdcdec02, 0x1851bf0a, 0x565d0fac,
+    0x432711b8, 0xc57cdc77, 0x9fabac31, 0x84d63b2c, 0xb8780bf4, 0xc227a8ca, 0x569a65b2, 0xa270a4b3,
+    0xf15f0b0a, 0xbcb00136, 0x34f28b63, 0xc3c0126b, 0x9dbd96a0, 0x4d835e1c, 0x74929836, 0xaec6b2e9,
+    0xabd0bc7c, 0x70fcee82, 0xfaef4c33, 0x00b99221, 0xc00e9106, 0x3e3355a4, 0x880c6705, 0x5ac9f350,
+    0xd9401f5a, 0xf7f58a63, 0x9c658f6a, 0xd52ad42a, 0x1fcca421, 0x38b0f04e, 0x4e8a40ed, 0xda21612d,
+    0x52fedde0, 0x9d6814f6, 0x20e7672d, 0x357c3a5e, 0x3dce277e, 0xba7f2bb2, 0xe240a7a6, 0x83094724,
+    0x24dbc41c, 0x3cea532e, 0x4cddbcad, 0xf3b55329, 0x905eb580, 0xdeeca706, 0x5c2c9ade, 0xb89f83f0,
+    0xafc6b9ab, 0xd01b2a11, 0x1365cbda, 0x4027accf, 0x8c0a6cc3, 0xcba1b02a, 0x0f04909b, 0x90a3463e,
+    0x05ad885c, 0x19675180, 0xedec8f63, 0xf90cbad5, 0x7db20447, 0x86846355, 0xe476d7dd, 0xd1d55d77,
+    0xdc27a949, 0x9b71ec61, 0xbecb9a04, 0x194f999f, 0x9af5bf1f, 0xc626544e, 0x287d29b0, 0x06389c05,
+    0x380a8429, 0x3f5427da, 0xafa18774, 0x2f9bae11, 0x283bdec2, 0x95ef533c, 0xba14078e, 0xc69cea1d,
+    0xc5eac35f, 0x0a11736d, 0xdd01bfcc, 0xfbb805bd, 0x58e8ad03, 0xee42a51e, 0xc237cb81, 0x5d0ec28d,
+    0x25dc3c21, 0x22948b35, 0xf09d1133, 0xff856870, 0x3cd9d688, 0xb27062af, 0x0cbf6f31, 0xff7ffc8c,
+    0x15bbd355, 0xe807b67c, 0xc97b9656, 0x2810eda0, 0xb223994b, 0x8f4fee21, 0x24497599, 0xebdcc3d8,
+    0x5da38649, 0x572b20e1, 0x58252df9, 0xb65aaa69, 0xb98550d3, 0x9b977895, 0x6a82bae2, 0x8511e88c,
+    0x654a507a, 0xd976fe39, 0x12d82252, 0xc5e944d3, 0x2b384d3c, 0x5beeca30, 0x9181acbd, 0x0d321a47,
+    0x722b8ea7, 0xabda7915, 0x21062fed, 0x78a3ca19, 0x2aea3a29, 0x59acf29c, 0x51d53652, 0xb0ceb95a,
+    0xfd49f083, 0x29345323, 0x8274a9f3, 0x9a4ed2dc, 0x9ad9c60e, 0x889cbac0, 0x791eb83b, 0x2faa5249,
+    0x9b8ed480, 0xd1c2e361, 0x0f23b90c, 0x2add91d8, 0xe9c3b912, 0x8f2d37ae, 0x117d806e, 0xf127cf0b,
+    0x09389446, 0xe3744f27, 0x962faa0d, 0xa78b4a6e, 0x4b664f8d, 0xee4304a8, 0xefc8f4f3, 0x893d5489,
+    0x39b4e83e, 0x3461a018, 0x30152a95, 0x2e17ea48, 0x8ad7811f, 0xe914eb54, 0xa8bb4301, 0xebc811bd,
+    0x6d781c94, 0x5b7819fb, 0x8d528d36, 0xe5ec6b78, 0x6c183d85, 0x6689690f, 0xd1ea13b6, 0x69a2238e,
+    0xf983fb77, 0xbced6c77, 0x43201810, 0xfb561902, 0x91a97514, 0x85bfb78c, 0xf1893d34, 0xd0590bba,
+    0x5d05ff59, 0x472625ff, 0x1e352aa7, 0x0c4c8195, 0x6780e41b, 0xf5c697ce, 0x27f8e805, 0x1c29decd,
+    0x51d1970a, 0x093f9966, 0xff129313, 0x53071dea, 0x73fc3e80, 0xcdd1a86b, 0x337d653c, 0x9b67f223,
+    0x0fb9754c, 0x8fe90f76, 0x9dbd3c38, 0x1bd7973b, 0xcc2a3ad7, 0x711fdb71, 0xbb73033b, 0xa0c44b76,
+    0x80835406, 0xb30b4325, 0x8348926c, 0x534a640c, 0x510890c3, 0xc2f7f5d4, 0xeabb2886, 0x64bc81cd,
+    0x998487ea, 0x334913a7, 0xb7e51c6b, 0xa7cea0aa, 0xbff2b843, 0xed799f3f, 0x684f2d7f, 0x46368fc2,
+    0xdb0f8b87, 0x2371ec1e, 0xca959d98, 0x3998a3f7, 0x7a5e699b, 0x71c458fe, 0xb75eda3a, 0x45eb98a7,
+    0x2bc583a0, 0x14de55de, 0x034d2c92, 0x806dffa7, 0x76b7746b, 0xfb1085fc, 0x8b659628, 0xcd85396e,
+    0x7a20d553, 0x3b2e0f09, 0x3fdae5aa, 0x80f4cbf7, 0x110ff555, 0x38d92e27, 0xb4e13b16, 0x981751f0,
+    0x75dabea1, 0xf0dafd8a, 0xb915d837, 0x9e388d62, 0xb860a145, 0x705fa091, 0x16bddb43, 0x43037991,
+    0xef406d5d, 0xe912dd87, 0x5c89021b, 0x1ad51db6, 0xd209e579, 0x7df6ec47, 0xc43afcde, 0xca492821,
+    0x5355683b, 0xe3855b20, 0x83714e3e, 0x441cfd2a, 0x8db30222, 0x33160316, 0xa6984428, 0x5eca2675,
+    0x1ec8057d, 0x8664e4c4, 0x8d215127, 0xba94bac0, 0x5a262cf6, 0x0df0de6e, 0xad5cfd8e, 0x94403891,
+    0x4d216370, 0x8053baa3, 0xf1699f30, 0xcdd12303, 0xb8ed8ff1, 0x7d92188c, 0x37a753e3, 0xa3a106b9,
+    0x2997cb60, 0xe7aab6f1, 0x7f07df18, 0xa8dd49cb, 0x666ed83b, 0x7360bbc4, 0x2b114325, 0x9e0d2d39,
+    0xc3a8abbe, 0x854bb1c4, 0x94924b63, 0x1f92c860, 0x4a50979a, 0x7a914d8d, 0x5e748950, 0x962c4c18,
+    0xf161a6b3, 0x3d358bb0, 0x269a4620, 0x3178e4a3, 0x5f84a68a, 0x7a0ab040, 0xb2924ab3, 0x6dabc1d3,
+    0x3de9d18b, 0xc91233cb, 0x4199fe0c, 0x39586a33, 0x3e28ef4c, 0xdd062086, 0xa323ddfe, 0x8b6e1079,
+    0xc447116e, 0xf69a9070, 0xcb9ee8a8, 0x7f15ca52, 0xa3c95d91, 0xdefa6845, 0xb288d909, 0x8d19c8cf,
+    0xac5377d7, 0x0b0ca0fa, 0xff0bba51, 0x73f75f92, 0x7172170e, 0x40e310d6, 0x7a28229f, 0xe4106ac5,
+    0xd51249e9, 0xb782a58f, 0x748d317c, 0xe6ec3cb5, 0x475360cc, 0x9de89fa9, 0xa8287e9e, 0xedfa2adf,
+    0xc452597d, 0xd23364db, 0xd2ca5a5b, 0x0c9ac0e5, 0x5ec9821c, 0xc333fb86, 0xfd54981a, 0x6d06c736,
+    0xe3ff0927, 0x08588dfd, 0xc46aeda0, 0x5d7dd98a, 0x235191c7, 0x0e578d9f, 0xb01345fc, 0x714dd806,
+    0x591e4fd8, 0xcdbe78c5, 0x75c84710, 0xdb42724b, 0xbf2612e2, 0x3f99004b, 0x9207ed66, 0xd47a4a68,
+    0xb5f0ba33, 0x76b471cb, 0x0713472d, 0x2fca3473, 0x7ae5cf38, 0xf5ffaa97, 0x5604ff82, 0x70fb8f91,
+    0xeded611d, 0xc98536fc, 0xcae593e0, 0x8c72ad1a, 0x7e802477, 0x980bf4b3, 0x6f0a22d6, 0x0c553011,
+    0xfd7bdd0e, 0x47bfb9f9, 0xa8381b33, 0x7d3a2b95, 0x15457fca, 0x052a0feb, 0x48917981, 0x0a112b8d,
+    0x66dae7cf, 0x097d6b8d, 0x4a2f4456, 0xd89704c5, 0x36b1baf1, 0x53ad16b8, 0x5f0246d5, 0x1f33aed9,
+    0x43d58ca8, 0x59ddf667, 0xf3ff4e5f, 0x86d9353e, 0xa9f2c6d3, 0x69e2a90f, 0xc6991c55, 0x3eda8f9c,
+    0x9ffe5d06, 0xa9cdb9ad, 0x05942423, 0xc3a95b35, 0xaf4c5d90, 0x7f6791ca, 0x81583014, 0x4bc9a6fd,
+    0x5374f806, 0xdacc6289, 0x0092e91b, 0xf06768f4, 0x33a02aab, 0x90d4a9e3, 0x9bdc202e, 0xcc11f402,
+    0xc9f3cf6a, 0xb42ac337, 0x2906d62d, 0x7dc9425b, 0x35387dd4, 0xb81013f3, 0x4515d73e, 0x92273a2a,
+    0xe1069275, 0x76b74154, 0x87b31331, 0xf0b581ea, 0xc62a5622, 0xc143f43b, 0x6bd41540, 0x190c3fcb,
+    0xfb52574d, 0x00e02321, 0x3b0d25a7, 0x41aaa503, 0xcb96454d, 0xff39d3b1, 0x0095f085, 0x5ad9c255,
+    0x046978ee, 0xdd738084, 0x46449e0e, 0x82a1387f, 0xb1b6d321, 0x96a0352f, 0x39e90a0c, 0xfc23042a,
+    0x8b3a82aa, 0xef2fbc26, 0x5baf4737, 0x8e0fccfc, 0x227e2dfa, 0x7de42aa3, 0xcc7192da, 0x18f19374,
+    0xdfe6ed2d, 0xc06962c3, 0x51cdcb83, 0xc0332824, 0x448cde3d, 0xc596ffd7, 0x9dc52540, 0xcf8b7f1a,
+    0xc0fe8713, 0xfd956adb, 0xb5c0af21, 0xf9b2356d, 0x015c2656, 0x1b4cfe57, 0xeb51220b, 0x0b9e104f,
+    0x17481969, 0x70d3837b, 0x441a78d7, 0x94a418a4, 0x00627a51, 0x0e6d5ae6, 0xbdabcc92, 0x0b080734,
+    0x6667072b, 0x26a3c7a3, 0x4c058723, 0xd01ebeb7, 0xbe943060, 0x214f3321, 0x42a9cdbf, 0xaacc814c,
+    0x4d2a760f, 0x1503db73, 0x72c8ec60, 0x86a75ee6, 0x5584ba9c, 0x05e58a0a, 0x9acff3a0, 0x4b5aebef,
+    0xb6acf007, 0xea4c7f40, 0xeb374b7b, 0x680c496f, 0xcb306644, 0xb320bca6, 0xa9dab26d, 0x8af56df7,
+    0xe6bc52d7, 0xe9bf9406, 0xe0e92bac, 0x24cf479f, 0xb425cf8c, 0xb95c11b4, 0x240e2f66, 0x079e1579,
+    0x2d219332, 0x6e8fe251, 0x081d47a4, 0xd7d14a70, 0x9b7a2aa2, 0x830838b6, 0x2b0b9b5a, 0x18ee52ce,
+    0x2801d144, 0x23886d1e, 0x8b8b305a, 0x47b8923d, 0xee4340fa, 0x39ebe86f, 0x6ee2e861, 0x52f0255e,
+    0x9d8f912b, 0x5bb33e7f, 0x4fc4b109, 0xc3da484d, 0x91d46d24, 0xb0613331, 0x5770cf35, 0x7f17dac3,
+    0x419a1419, 0xdf6a3d3c, 0x7dfb244d, 0xcd47f218, 0x35977169, 0x468e12b8, 0x51bff577, 0x4058b358,
+    0xc290f0a6, 0x8211b8d0, 0xa617f2eb, 0xa2eb13ba, 0xc7eda983, 0xe6401213, 0x76b744e8, 0x687bb6d8,
+    0xb6ab5d7c, 0xc3c93204, 0x43709f63, 0x4a2532a0, 0x304668d3, 0x384b141d, 0xf8f5561f, 0x63445465,
+    0x3eb25676, 0xd159c563, 0xeac49dcc, 0xf8434674, 0x52a15f82, 0xd1120f93, 0x6f6181f6, 0x0e2b28b7,
+    0x63a16564, 0x436793ba, 0x1baaaf65, 0x99864988, 0x039e7fb8, 0x2ec6f18a, 0x83932035, 0x3a2ea0c3,
+    0xdba263af, 0x57b9bd14, 0x83c25edc, 0x81c22eee, 0x88bfe596, 0xc3eea43f, 0x4cad99bc, 0xa22c673f,
+    0x70671d92, 0xacc91f1b, 0x4db54f8b, 0x572dd88a, 0x3ce7f769, 0xb6a11be9, 0x63a2c0b9, 0x723d045c,
+    0xc6c1b1b6, 0xbd82cac4, 0xff15dcdc, 0xc84f4b2f, 0x2ebc4bde, 0xdde4dec5, 0x1238d2bd, 0x3374d336,
+    0x9006713d, 0x3e8dd708, 0x04eab2ba, 0x0de06b55, 0xcac54e0f, 0xb410a324, 0x12baa535, 0xdc288cda,
+    0xbcf0834c, 0x58fc2d53, 0xbed7b633, 0xcfa738ca, 0xc7cfddbe, 0xb093a16b, 0x3fbaac0f, 0x6581e9d2,
+    0x0e5ec732, 0x075c631a, 0x92f48f5a, 0x5115ca28, 0x393b9d0d, 0xcf69ee8f, 0x70ca8f14, 0x4eaaf003,
+    0xb4063c4c, 0xfad12d95, 0x82e1ad13, 0x2d4f3109, 0x5f2f24e2, 0x374807a1, 0x8cefc7b2, 0xe512901d,
+    0x12a9fa72, 0xb2b67694, 0x5d06a8c0, 0xeea3f3fe, 0x5d4094f9, 0x5f801912, 0x0b41978c, 0xd989a171,
+    0x677389c7, 0x6fdb35b6, 0x81a832ad, 0xc60a8ec3, 0x6918ecf4, 0xe88d9657, 0x2dc58225, 0xe7cad3d6,
+    0x2af24eec, 0x804b63a1, 0x81881243, 0xf07776dc, 0x886f54f0, 0x77260b4b, 0x88b06364, 0x156741e3,
+    0x799dc143, 0x35bc1ea9, 0xe16f81c9, 0x452846dc, 0x5672f6ee, 0x2ad89878, 0x6eef0f1f, 0x9ec2a292,
+    0x6c62c55b, 0xb7108fad, 0xf40ad1b2, 0x2651d545, 0xf3bbd652, 0xa2a57f91, 0x098dafb6, 0x8b2dce62,
+    0x60b9da42, 0x910c0610, 0x9b77d875, 0x0a3eefb5, 0xd044924f, 0x893f571a, 0x0860b949, 0xed9e3a0e,
+    0xa5b07be4, 0x07929dea, 0x97e5423a, 0xbf77eb56, 0xb1fb393c, 0xe5deb7bf, 0x008f5414, 0x0ed7fba9,
+    0xbf2deba0, 0x743796be, 0xbbefc211, 0x1cae5570, 0x4e1acf6e, 0x80e26f13, 0x595a5d12, 0x7f5a6ef0,
+    0x23b4cd9f, 0x710fdad6, 0xa5275f9e, 0xf90202e2, 0x9d8ff889, 0x38e81f9d, 0x69f32e7f, 0xc74a0e5b,
+    0xf930390c, 0xc801a98b, 0x4d56a410, 0x2b3d5549, 0x83175669, 0xb4085c5f, 0x0cc8e9ab, 0x5696d451,
+    0x00000000 }, /* 10**00000127866820620943041797390222532328091883462579923557218339191069066255226\
+                         42205759980012773798148063113870651109873281527379754908382364816614564560896 */
+  { 0x00000000,
+    0x40001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105c,
+    0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c4, 0x97d56c75, 0xa17ac286, 0xbdc900ac, 0xb94a99fe, 0x2c59a9eb,
+    0x00000000,
+    0x82403f19, 0x9ab2a52b, 0x81e80ad0, 0xf8f229c4, 0x699af09f, 0x29180147, 0xe14e551c, 0x6c5bbd08,
+    0x8caef4bb, 0xd3a3a3ee, 0x435d4d61, 0x6842a1b6, 0x9a00b05e, 0x8e58358d, 0x3cd47e9a, 0x456fa199,
+    0xedce465f, 0x7ac11a3d, 0x7c98b4f5, 0xe7a37b88, 0xf2a25b96, 0x2cac063f, 0x65aeb28c, 0x4df191d7,
+    0x2774aa29, 0xc26b865b, 0x0a09077e, 0x42c17307, 0x6cdadc77, 0x6de417a7, 0x6e1a7b78, 0xb86ad6ce,
+    0x36424f73, 0x21659a14, 0x1b74f24a, 0x73cc8980, 0x979c66d3, 0x462461ae, 0x0be23b9b, 0xc774ece5,
+    0x3c6f4960, 0x41a8ab16, 0x059f393b, 0x18564482, 0x16a7d168, 0xc1a3d7b0, 0xcdb199b1, 0xcdcbfb93,
+    0xf2dd9ecf, 0x4f7d879c, 0x617c304f, 0xa8ca24c8, 0xaa506412, 0xb37eb27a, 0x6669e737, 0xc52133cd,
+    0xb2830edc, 0x359a5b90, 0x838f0b7f, 0xce9f6bc2, 0x648cddf5, 0xe1da7581, 0x5318ddc6, 0xab494c98,
+    0x381d33cd, 0xfba590b9, 0xa528f41f, 0x8981a1eb, 0x45664d05, 0x1e6ed6f1, 0x15336a52, 0x66e6d316,
+    0xeabbbf7e, 0x20ba2b0d, 0x5983822f, 0x35135e75, 0xe20c9aa7, 0xde7ddc76, 0xb3920719, 0x4acafe3d,
+    0x32f2fb7c, 0xc03a529d, 0x2de31b83, 0xefae635d, 0xdbd14ba9, 0x79116603, 0x34a25537, 0x2aba36e9,
+    0xf063d5eb, 0x010f975f, 0xb857f33f, 0xbeb465b6, 0x4e2f10dc, 0xc4c8d3b7, 0x2b273dd6, 0xf0b6689e,
+    0x9ea1bb39, 0xa5cdcfd7, 0xa56e91b2, 0x2ba30ffe, 0xc29fc85e, 0x8f903e43, 0x891ecf23, 0x050328b0,
+    0x15c9e0e5, 0x4d6d62d3, 0xae3206bd, 0x838d9028, 0x868cbc0a, 0x8f61db88, 0x1b6540c0, 0x1d8f85ec,
+    0x54e462c4, 0x2987a6d9, 0xaa1b0cae, 0xe72f0dd8, 0x2e28357f, 0x74652835, 0x5fd7dc96, 0xa1f18640,
+    0xef4bcbf4, 0xf682e854, 0xd2bd45d7, 0x05a2e57c, 0x55db625b, 0x9fc10d8b, 0xaf648011, 0x9de4ec81,
+    0x3f5655c5, 0x4a20c885, 0x5db7e1de, 0x9b51bab3, 0x9bd56d70, 0x41eeecd9, 0xf09c6a07, 0xd3a655bf,
+    0x1799b05c, 0x83a8f2df, 0x3a4e449a, 0x9422e87e, 0x222341dc, 0xf935c98f, 0x6856341c, 0xfec4980a,
+    0x6a0b958e, 0xc12c1202, 0xd8412e42, 0xd25e8ff5, 0x37e1c32d, 0x49d1edba, 0x2679e05d, 0x18c108ea,
+    0xf294e75b, 0x126d7f80, 0xc1123ee4, 0x7d844bfe, 0x03d50089, 0xcdcd4d61, 0x776eac16, 0x39de7bd9,
+    0xd248bd58, 0xd881fe06, 0xb0e182b1, 0x9d5adfa7, 0x79023f71, 0x4f593bd6, 0x9074baf2, 0x21387fac,
+    0x3feab2d6, 0x923abc0a, 0x3d603bc8, 0x0dc11104, 0x75c9f413, 0xa60a6034, 0x762ba309, 0x44cd90fc,
+    0x64ec904f, 0x23202618, 0xcd7ff09f, 0x6415618f, 0xeb1465f1, 0x5b843ce8, 0x7810ce95, 0x55ec41ca,
+    0x7d1842c6, 0x16a6cc8a, 0xdd5273c9, 0x85bd34be, 0xef57da4c, 0x518faf18, 0x328ba217, 0x611c658d,
+    0x9ead1c35, 0x9294cd28, 0xf73a8860, 0x5461f432, 0x2d00535a, 0x77dbc2c1, 0x608f4c91, 0x55266c21,
+    0xe5986b1c, 0x89fc07ff, 0xa25df301, 0x3bbee2fa, 0x1bf2685b, 0x62001293, 0x62d816db, 0x8bbecaf4,
+    0x593ee412, 0x93945596, 0x5e771947, 0x94ea7e98, 0xc7db0b8f, 0xd50ba895, 0xe3fdf6f4, 0x40bd7449,
+    0x2817c483, 0x60b37620, 0xf120bee2, 0x3078b7c7, 0x2c9e46ea, 0x3e60655a, 0x2fab2426, 0x32e3467d,
+    0x7dae7f35, 0xef1f71c7, 0x1be3d252, 0x5a00a2f7, 0x4fb3715a, 0x1916e171, 0xbe00da89, 0x868b52f6,
+    0x44892639, 0xd4aee599, 0xe1886e57, 0x94ba5241, 0x017a6538, 0xbea442a1, 0x5bf4b8ca, 0x296078ad,
+    0x77c2106d, 0x74311e37, 0x8bcbc28a, 0xe5563527, 0x7736e024, 0xaeb91ad8, 0x03dfeffd, 0x7684aa85,
+    0xebd3cd17, 0xa5723cee, 0xa431955a, 0x71b2d012, 0x3da5a40a, 0x851f6a49, 0xa5df1804, 0x345cf046,
+    0x248d3408, 0x65cc5eb8, 0x5c149d3a, 0xd075edd7, 0x1b6a5a08, 0x696fe217, 0x73c45f9e, 0x07746e4a,
+    0xa1ac32c6, 0xb75325d6, 0x0f8ec454, 0x44b245e6, 0xcf5e3a7d, 0x28901e3c, 0xc04fa2b6, 0xa9ed0720,
+    0x2f44b756, 0xa631dc72, 0x0fc31f3d, 0xeec78f72, 0xb52d9495, 0x0516a670, 0xa069931c, 0x2cae8f24,
+    0x1de4a6a8, 0xd9a749fd, 0xa950637a, 0x46935f78, 0xd10573df, 0xaf23b8e4, 0x00ec6060, 0x496903cb,
+    0xfe88c262, 0x69131edb, 0xd5e59213, 0x139d3f21, 0x63e122a7, 0x29dcad99, 0x9f2c25b4, 0x4ec396c8,
+    0xeacc315a, 0x2799d1a0, 0xd4ec4b0b, 0xcc5a45e4, 0x8462200c, 0x167fecc6, 0xff423002, 0x3c9d9c24,
+    0x6450e939, 0x5edff11d, 0x81efe4a6, 0x647714e4, 0xe25e675b, 0x9539a943, 0xc400b7c9, 0x31c4dae4,
+    0x066b51d9, 0x78ab46e9, 0x15e8e7e4, 0x526b1e6c, 0xed8db329, 0xfacd33e3, 0xcdf69ea6, 0xd4d0cd08,
+    0xcb125979, 0x476af537, 0xfe0641d1, 0x2c3e1351, 0x4888418f, 0xf0f724d9, 0xc7063014, 0xfc5d9831,
+    0xe37758a2, 0x949a56f1, 0xb846ca2f, 0xc844ede4, 0xe28e88a7, 0xb24cd4cc, 0xf5b1ba1c, 0x9c29b86a,
+    0x34aa82fd, 0xae465212, 0x0952e1d9, 0x6935f015, 0x30f19642, 0x7f7205d9, 0x9831847e, 0x9af1e3d6,
+    0x2413b01e, 0x298e8c06, 0x102fc2e7, 0x69e04bc0, 0x64d8f15b, 0x63aaf052, 0x6c3f4ba3, 0x52aa2ed1,
+    0xd043f7c0, 0x3f47e027, 0x63ca860e, 0xa42f84d0, 0xa52b8512, 0x7376596f, 0xb37fadc9, 0x726e555b,
+    0x7ee8410a, 0x01edabb5, 0x244f56c4, 0x44f2741b, 0x4c9c4419, 0x669e683e, 0x0cdd4788, 0x624fe2e4,
+    0xe24976f8, 0xec10e258, 0xa7d557d7, 0x53738429, 0x44505bc9, 0x26444c85, 0x3b1d3e8e, 0x38f6dc46,
+    0x708e13c3, 0xdf8f76c3, 0x0f026f5d, 0xd5f7cd71, 0xb1545137, 0xac109776, 0x77997788, 0x313b4e47,
+    0xe00e7323, 0xbbaecd2b, 0xbed29a7a, 0x084fb825, 0x14872080, 0xd246d39e, 0x38961105, 0x35f41717,
+    0x7dfa520e, 0x29fa6352, 0x7a23846c, 0xb27d38bf, 0xa48fb87a, 0xefe22806, 0x65d4b0c2, 0x4a3377f8,
+    0x8d9dd5c0, 0xae57bd54, 0x03838d9d, 0xfcf4ae65, 0x3423306c, 0x59e36d90, 0x1773247c, 0x37da02a2,
+    0x06a2aa2e, 0x3a1d4ed3, 0x7ef55dca, 0xfc447065, 0x05667eba, 0x509bf023, 0x99665ee7, 0xfc4e4796,
+    0x5951d0df, 0x4414edf5, 0xac2cfd17, 0x16a9063d, 0xe12fced8, 0xcf02fc02, 0x3acc6258, 0x6b347952,
+    0x4202153b, 0x376a7435, 0x6ec9c455, 0x192ad775, 0x81a79598, 0x5dccaea5, 0xcfa366ef, 0xa033a3ea,
+    0xa56274cf, 0x80a05711, 0x700ebaab, 0x68bce84d, 0x70cab593, 0xfe3a3792, 0xbf1bc4e2, 0xc4825a0e,
+    0xfc168175, 0x5f432c3c, 0x1b4b86af, 0x70de6c13, 0x0db18e6a, 0x0b5bb53d, 0x15e21025, 0x8ad760ff,
+    0x8f596a1a, 0xe6f5ee1f, 0x4792af33, 0x74b9b7ca, 0x0f588929, 0xa1588435, 0x13c2aaf0, 0x46d4474e,
+    0x84c2c211, 0x322bc6b8, 0x684a1e42, 0x2b9e4322, 0x018cd599, 0xbee79fdc, 0x851c7307, 0x4883a998,
+    0x51eb900d, 0x3fefa57a, 0x7e34f581, 0x76d05330, 0xefd4eeb4, 0xf84d5d7b, 0x32a6ba19, 0xd0cefd48,
+    0xee127f62, 0x75b9fa5e, 0x92ff89a8, 0x507146ff, 0x73450e86, 0xcceb3cbe, 0xf69d450f, 0x06e52feb,
+    0x84e18e77, 0x31844339, 0x1a644947, 0xc72faff3, 0xcf606b18, 0xe004508f, 0x8b9c278b, 0x90212230,
+    0x1f2bc9fa, 0xa93686ca, 0x9d53b5de, 0xd5da5e1a, 0xddac1989, 0xe5b269c5, 0xe3137b08, 0x435fde77,
+    0xeccea7a2, 0x27fbad51, 0x2bf76d95, 0x38f3c2a9, 0xd5cc6d6f, 0x83378a58, 0xb0a60680, 0x046d6c6b,
+    0xc0f90184, 0xe77d41d8, 0xd2ca84df, 0xa220ab64, 0x71cdfb39, 0xf83bf161, 0x75c1ee41, 0x0b6da036,
+    0xf23d7210, 0x80a9e12d, 0x785b05a4, 0x6ab7cfb0, 0x518263ca, 0x6ecb5065, 0xba17168c, 0x9d64341f,
+    0x0e9ae2f9, 0xebfe94ad, 0xf72e85da, 0xdfd71449, 0x0c21046d, 0x375064e5, 0x624da2fc, 0x3817b8f0,
+    0x4a9f2002, 0x4a786d51, 0x7d7ea196, 0x7f64436b, 0xff4c12a0, 0xeac89fc9, 0x2ae78a84, 0x682c2aa2,
+    0xba03de0a, 0x7567320e, 0xcad1fc8d, 0x43f041ee, 0x6d810666, 0x6524b4b8, 0xff4e529d, 0xe3009136,
+    0x0078aa7f, 0x4989ef9f, 0xf58f38e2, 0xca8580cb, 0x56cb4a26, 0xbba8b63e, 0x0fec453f, 0x9b58d5ca,
+    0x8b1e2351, 0x9a727c45, 0x3925f8e8, 0x6967f901, 0x981f2eac, 0x445ac7da, 0xa438dd16, 0xb68ee0a0,
+    0xf6d4faad, 0xb855c130, 0x60ba6c8e, 0x002f81ef, 0x877cd8cf, 0x0e529bf0, 0x0bf8137b, 0xfd57e029,
+    0x1ff16825, 0xba5ec490, 0x78155fc0, 0x2b0a9f08, 0xb4a6caa0, 0x982579bb, 0x97a47359, 0x50a98268,
+    0x614ee4ec, 0x34a443b8, 0xb3a79f17, 0x6738aac2, 0x18ad27a0, 0x4c99372d, 0x0e01fe2b, 0x8a8226d3,
+    0xba674571, 0x757480fd, 0x9715648c, 0xab889eb3, 0x15f9e3d2, 0x5b1cf7c1, 0x403e4aa9, 0xcd13fbb6,
+    0x9de4a75b, 0x05415cb3, 0x06cde5ef, 0xed4d15d6, 0x35b539ca, 0x447dec57, 0x39a469b9, 0x603b6333,
+    0x486d3539, 0x106970d0, 0x2415631a, 0xe57a9d3a, 0x83df75e1, 0x3c04e957, 0x97a02c9a, 0xe9181b74,
+    0xd2be2d9c, 0x84c31856, 0xedec38ac, 0xdc08727e, 0x6004dd3c, 0x4e5a1c4c, 0xe28a58b4, 0x9046ee4d,
+    0x5e3c76a2, 0xa42a928a, 0x916500b5, 0x49b89b26, 0x22a6e105, 0x88012876, 0x869c29c1, 0xccb491e2,
+    0xdf476eaa, 0x3019764c, 0x902e4d88, 0xa25d6fe1, 0x80d407c3, 0x2fd85607, 0x203f1fdb, 0x983f5927,
+    0x9d45228a, 0x0beccf40, 0xd642e2b5, 0xf9653e41, 0x0c0e9768, 0x8c760d2c, 0x70a95132, 0x6dbff753,
+    0xe257954d, 0xe82393c5, 0x8093006d, 0xb7d0a893, 0xa6526712, 0x2bf173d7, 0x6d70e80b, 0x3d1765f7,
+    0xd6e61e76, 0xcad58a44, 0x7346c628, 0x2e4e28ad, 0x0e1addb8, 0x074e37c5, 0xde55c54d, 0x3585c4f8,
+    0xd746282b, 0x8cf36ce5, 0xa19d4cce, 0x1e07a4b1, 0x687b32f6, 0x77f4a74c, 0x380b4456, 0x405a003f,
+    0x3d37dc31, 0x78bd097e, 0x48d6eb80, 0x4f39ea27, 0xd72d9608, 0x78ee7c05, 0xe488408b, 0xa906f582,
+    0x18ee56fb, 0xe176bc23, 0xb6063820, 0x79b8202e, 0x48b2110b, 0x7f2e2636, 0xbf3b183b, 0x84e97773,
+    0x5c1fa76a, 0xd0b21391, 0x61a9c5dc, 0xc1126d59, 0xc7f583e2, 0x4bd9c311, 0xb1c22f4d, 0x9a3d3b57,
+    0xf4aaa3fa, 0x8cbd9e35, 0x5cc57c43, 0x32fc33fc, 0x390ce723, 0x174d9c32, 0xbed13f7f, 0xf6757219,
+    0xa6f6a2bf, 0x3f8ae738, 0x14281dfa, 0x39d30e49, 0xf62ee422, 0xd7226c43, 0x11d83a8e, 0x08030b5b,
+    0x7f5e9b76, 0x69c08820, 0x7b8f3c93, 0x3c0e0273, 0x068f1531, 0x7606e330, 0x41209c0a, 0xddebfa2a,
+    0xede54154, 0xefb0eb60, 0xbdb5df05, 0x82d87344, 0x3268bca8, 0x9cf68723, 0xe23962fd, 0x1d7ce42e,
+    0x62d31830, 0x0dc1012e, 0x8406db25, 0xfd442a8a, 0xbbfb1392, 0xaa6afb17, 0xe6bb8d37, 0x41b8e948,
+    0xbe1b2873, 0xa3371189, 0x9126306f, 0x8850c4a9, 0xc76bc7da, 0x4f324758, 0xb9301dc1, 0x489abad9,
+    0xd7262fef, 0xfd388f5f, 0x4648d239, 0x9b285bb9, 0xe8009854, 0x4610777d, 0x38bbf4d5, 0x024d0fcb,
+    0x816233af, 0xc49dd6cd, 0xeb53e215, 0x105a4ae5, 0xdb625d05, 0x4e89fb7f, 0x2ca846a7, 0x223e7383,
+    0xce026fdf, 0x3524f21d, 0xe3ca1376, 0xa88445cd, 0x1c6f9cda, 0x3d358a1a, 0x1fb52505, 0xe9a55f1d,
+    0xe5d40dce, 0xf31f6c82, 0xd3c11021, 0x47b4aed1, 0x93361a7e, 0x08367948, 0xe4f0dc0d, 0x74b80625,
+    0x83c844e6, 0xce84dd7a, 0x2ec46d13, 0x52fda9ee, 0x1921ed7f, 0x18348bb1, 0xed36023a, 0xab17c2fb,
+    0x3fcbd94a, 0x05947adb, 0x0a7e7d03, 0xd4248132, 0xe2a75a40, 0xa8b03944, 0xcba46926, 0x05901d33,
+    0x0b8a9161, 0xd1b5ba9c, 0xc96c532f, 0x78d1b396, 0x8d9c4bea, 0xdf1ae14e, 0x196e802a, 0xd2fa7c5f,
+    0xf1613e5b, 0xe0dd6ccd, 0xe3b94756, 0x578356dd, 0xc51739e0, 0x6401799f, 0x5f9913d1, 0x0897f4bf,
+    0xbc45f09c, 0x35ceaac6, 0x82e4f58c, 0x2059d63f, 0x0ef74b78, 0x4c41c319, 0xf9e1c779, 0xd07f5a31,
+    0x2c8104dc, 0x89415f9e, 0xe0f685a8, 0xccaf2e86, 0x00b31a98, 0x8fb3b59c, 0xabd9ec10, 0x006c66ce,
+    0xd282255e, 0x95f416a3, 0x8425f34d, 0xc600c774, 0xbbe033d6, 0x4f76afec, 0xe21ef830, 0x743da23a,
+    0x98e53bbb, 0xd874922a, 0xd6565539, 0xf0a4f79f, 0xdd2dfc59, 0x84811cd2, 0x4bae91ee, 0xf9376c05,
+    0xba6bf912, 0x60e741f5, 0x800cf1ab, 0xaf53cd52, 0xede28edc, 0x5fa9c174, 0x7e055bcd, 0x0c86fb65,
+    0x859228f3, 0xb82f0ee0, 0xecebc521, 0xb634f2d5, 0xe073a6e3, 0x0204fec2, 0xf18829ba, 0x521a1029,
+    0x2c8757cd, 0xcc1ed9f7, 0x60028872, 0xb5beaed1, 0xf7cf8cf2, 0xcb0e5907, 0x6b693740, 0xd99f81bf,
+    0x42f94885, 0xbc6f19b0, 0xa0194abe, 0x276fea61, 0xa9b84d30, 0xce984224, 0x2cef57f6, 0x8da734cd,
+    0xc43db90d, 0x048eb32a, 0x02ae3559, 0xd358185f, 0x5f3b5497, 0xdcf36f38, 0x81049583, 0xfbd009dc,
+    0xf373e302, 0xf585ca40, 0x232db558, 0xe38235dd, 0x022b3ff6, 0xa4241697, 0xb9f18dc1, 0xd16f90dc,
+    0x7736b57d, 0xb5e2ba04, 0x6e902863, 0xebb782a4, 0x1dc5aae0, 0xc27baab4, 0xb9b9f381, 0x59c1a6f5,
+    0x8c91cb08, 0x4f087d18, 0xb68e38bd, 0xf9e727f5, 0xc6461d76, 0x3a7f7d16, 0x892c9bb8, 0x148f6588,
+    0xddbda6b8, 0x2e10c56e, 0x1ccb8aef, 0xf3b160f2, 0x1381c409, 0xe6065155, 0x008e6266, 0x34b8e0e9,
+    0xcb810f8a, 0xaf964d30, 0x609bd2f4, 0x3f955191, 0xc86f9541, 0x23714e06, 0x0a9599b5, 0xe2a3771d,
+    0xdc84060a, 0x9910277e, 0x596c3d5e, 0x5368019f, 0xd7771252, 0x6f44fb4c, 0x143a8058, 0xa6c47b96,
+    0x96461f33, 0xba0e9463, 0xd7fce813, 0xdde2831c, 0xb25c2c8e, 0xcce4c7cc, 0xa4df76e6, 0x7600ebd2,
+    0xb47f5f08, 0x3b5c639d, 0x7db70262, 0x5090f039, 0xac5a9f83, 0x4827c59a, 0x2311254a, 0xb163c0db,
+    0x98e77b44, 0xc308a9ea, 0xb8e5002e, 0x912257ad, 0x70ca2f90, 0x5dd283d0, 0x98fc64b1, 0x6943714b,
+    0xf049eaf5, 0x55e882e1, 0x8afc35f5, 0xaded88b3, 0x44139bf5, 0xae03217e, 0x88bf0ce0, 0x3c73b287,
+    0x8438828b, 0xb72b36c7, 0xc6dfd2fb, 0x9aa04416, 0x6c7a6adb, 0x71e2f011, 0x1d2760d2, 0x1a27afde,
+    0x3290e8a6, 0x128bda31, 0x38f6bd04, 0xca26d6df, 0x933e689f, 0x807c57e4, 0x4d4cefa9, 0x197e4165,
+    0x0fa55422, 0xf865a7d3, 0x1be6d4f7, 0xc79b962b, 0xa3e1382a, 0xffeee028, 0x8d4ea9c2, 0x2e86342f,
+    0xde5e768b, 0xa77184f3, 0xb39f36c8, 0x5f285398, 0xbc79a1d0, 0xee0c310c, 0x2bdf1a9c, 0x77a32f6b,
+    0xc9746e58, 0x4abb31ac, 0x35c2f664, 0x6ee817ae, 0x6ea60609, 0x340e63a7, 0x090e65f1, 0xad6669a8,
+    0xffceee1d, 0xb7dc8330, 0x45d8a7cd, 0x51ebba23, 0x7ac2a690, 0x75510b94, 0x379bb26e, 0xac96139a,
+    0xeda22c8f, 0x3dde4abd, 0x414bd5ea, 0x28b2f019, 0xbdf23b77, 0xff74515a, 0x65fc26c3, 0xfd8b9265,
+    0x00000000 }, /* 10**00000063933410310471520898695111266164045941731289961778609169595534533127613\
+                         21102879990006386899074031556935325554936640763689877454191182408307282280448 */
+  { 0x00000000,
+    0x40000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082e,
+    0x7859d066, 0x50fde9dd, 0x51f3a3e2, 0x4beab63a, 0xd0bd6143, 0x5ee48056, 0x5ca54cff, 0x162cd4f5,
+    0x00000000,
+    0x811ede17, 0xcf787368, 0x0c86d26f, 0x8c341cfa, 0xe40fb784, 0x38b1fcb2, 0xe5d3109f, 0x3f7a398b,
+    0x80ff1f8e, 0x5cc9d385, 0xd6191b07, 0x4e572c7b, 0x1735d4f5, 0xc737b8b2, 0xd626d037, 0xe761f2fe,
+    0x06efe967, 0x1815a2d8, 0xbc7ae926, 0x93f92322, 0xce7a4ecb, 0xc1375dc2, 0xafbe83cc, 0xf605c8c3,
+    0x32cb4b0e, 0x2933f0b4, 0xa873c8bd, 0xc03ed4a6, 0xcf9b5f3a, 0x91888e75, 0x1eedfbb6, 0x6816604e,
+    0x5cb346cc, 0x74c72288, 0x3757081e, 0x2b45151e, 0xe5bf8223, 0x1c9cec41, 0xbd13760f, 0xe01b24be,
+    0x791fd1ab, 0xba69dc6d, 0x6e7c5bfb, 0xee31d022, 0x9300b3f2, 0x839ff968, 0xf636941e, 0x58e53e9e,
+    0xdca66ac3, 0x0452bae5, 0x2bbb5719, 0xf7c01613, 0x80228d41, 0x6e2d21ce, 0x773add7b, 0x5733766b,
+    0x9c8db49e, 0x61658215, 0xe4f772df, 0xfbc967f0, 0x306fb6e9, 0x4300587b, 0xaccb1b7c, 0x5864dc79,
+    0x39371a23, 0x112cbdc6, 0xef5769f7, 0x90411c59, 0x1bd2fb61, 0xe1d2ef9e, 0x6533cac5, 0xee741125,
+    0x40bd5746, 0xd7ccd390, 0x83cab323, 0xad0bb34f, 0x6bf02a1c, 0x6f1fefcd, 0xd511977a, 0x077e12f2,
+    0xd85370c2, 0xf3cb8965, 0x3bd70d80, 0x244f8f63, 0xf6cffd88, 0x8321c35b, 0x96b6f8b5, 0xd9f7a3f2,
+    0xac4a13b0, 0xa6c00380, 0xdb834202, 0xb4ef35c4, 0xf8140d49, 0x09095e52, 0xf9e35434, 0x7d24c793,
+    0x22f0d979, 0xe558b338, 0x1f4be5b9, 0xbcadf4bc, 0x60c90884, 0xe8acd16e, 0xf6ad5c48, 0x4d8f34d6,
+    0xcee2bfab, 0x3d77a449, 0xc6597418, 0xd476b1a3, 0x844ba02b, 0x90d11d65, 0xb0e2beb0, 0x092fbb97,
+    0x380b3df2, 0x0ba43ac4, 0x5cbe7617, 0x12170284, 0x8ba1e378, 0x591e5f84, 0x187a246e, 0xfaefa826,
+    0x25eaaef2, 0x8779f2cd, 0xd12de197, 0x72371ee7, 0xb7f1335d, 0x37b56810, 0x7dface9c, 0x786d0a9a,
+    0xaa9e678e, 0x4755f5ae, 0x90831ae9, 0x73533680, 0xb7d54feb, 0x1b721045, 0x7cb9cacf, 0xbbdae00e,
+    0x4671f350, 0x0a479d12, 0x4e49ff08, 0xe48728c1, 0xc299fb88, 0xfd11f79c, 0x81e309db, 0x35ddf0c2,
+    0x14e30991, 0x4e824f46, 0x51529b9e, 0x3a6c9a87, 0x3c4e2bd5, 0x41c65423, 0x9264600b, 0xd51f3dac,
+    0x446faed6, 0xce71dc0e, 0xbbb2a16a, 0xbaafcf17, 0xabe0a851, 0xf6115c47, 0xcd50fb52, 0x864f7131,
+    0x61d68885, 0x9071c1dd, 0xa094ae3e, 0x87a5f239, 0xb749607d, 0x78bd6bb4, 0x2f4af0a4, 0xee4f45db,
+    0xd0dc7118, 0xdea4b2f2, 0xa02f5453, 0x70c44742, 0x94f3057d, 0x6000b3d5, 0xd5318942, 0x0868ac50,
+    0x494ce7c3, 0x1ceb1869, 0xd94a98aa, 0xfe896e03, 0x3507b223, 0x5d89015a, 0xc063e4aa, 0x97c95c02,
+    0x26307531, 0xd43685a6, 0x5909ad4d, 0xac7ed1c4, 0x1e574bf7, 0x265b4c1b, 0x2262d04c, 0xbfc026e1,
+    0xad0430c6, 0x64f05828, 0x51b55ec1, 0x5ec583f0, 0xec167994, 0x1cc75095, 0x2f8e1fb1, 0x6c5b4440,
+    0x73b536ce, 0x3ed8d604, 0xd0b2d799, 0xaa911247, 0xb57e80c6, 0xb5c4dc46, 0x717609dd, 0xf7800c26,
+    0xe9957f06, 0x9fce947c, 0x64c01f65, 0xb8837188, 0x01907f18, 0xbbd09f9a, 0x8193fbad, 0xe4572831,
+    0xdcf5d32d, 0x77b62d18, 0xc8bc9ab2, 0xbdc090cf, 0x38220394, 0xa6655ac4, 0x1493814f, 0x45cafb63,
+    0x299b9af6, 0x2423e5ce, 0x7a7ac15a, 0x22dbc833, 0xddda74e3, 0xd42b747b, 0xb40af809, 0xff1f075a,
+    0x7224d298, 0xd0c4a58f, 0x7b63d2d0, 0x45293ab7, 0x205469b3, 0xea51a553, 0xfdc76d3e, 0x263f3f26,
+    0x1ba9f802, 0x98ff15fe, 0xc2e1c172, 0x6e674b04, 0x1143b465, 0x9898ef3f, 0x8e4ea877, 0x86089979,
+    0x989a7ad8, 0xeff14a91, 0x3088bbbc, 0xd429dbf6, 0x71a3e3e5, 0x90c6faed, 0xccd49a3c, 0xd9aa75ef,
+    0x08400d5f, 0xea7fda3a, 0x85356675, 0x038973c8, 0x0e4baa85, 0x556a1689, 0x0cebf18b, 0xea437ecf,
+    0xbadada6a, 0xd5c9dd18, 0x6c5f3f76, 0xe355905d, 0x69c0e751, 0x59442006, 0x3ef6671f, 0x0494b4e9,
+    0x8b7750f4, 0xcdf7ca75, 0xbfd6ff0d, 0xd60d9ca8, 0xa0f5a21d, 0x3e8f1594, 0x9a24f3b5, 0xf56b4bb4,
+    0x6e82d23e, 0xff858a05, 0x839fa878, 0x8f61a02c, 0x0c4a6700, 0xf3e89b33, 0x7ffd7930, 0x404d837c,
+    0x9bdd8b69, 0xa63be8e8, 0x755cb8ed, 0x781b9526, 0x4a516753, 0x0b17bd71, 0x2dca5952, 0x2225888b,
+    0xbb30be59, 0x390e1143, 0x2a6bb986, 0x5998b4dd, 0x4714913d, 0x20d3fffc, 0x3115afbf, 0xd2cc98e4,
+    0xb55b5a15, 0x958cafca, 0x45fa26d2, 0x145db607, 0xd50227c1, 0x79ba79f4, 0x9a1f58cc, 0x851e8933,
+    0x63155a68, 0x0786e7fa, 0x37f78e56, 0xe565aac0, 0xd7840ab6, 0x44c460d4, 0xa8c551a3, 0xd8c559ed,
+    0xf658c8a4, 0x25692694, 0xcd9aea67, 0x1b4cd23f, 0xba34dd4c, 0x0b3672c4, 0x1ccd2695, 0x36cd3be9,
+    0xd955f4b3, 0xdcdea565, 0x1da60aab, 0x44d5dc41, 0xf32611a0, 0xbf8ca501, 0xc2a4d30c, 0xeab2fd5b,
+    0x6c36dc31, 0xd210dc25, 0x33f6f401, 0x349c5abf, 0xd7c39c88, 0xffefc2ae, 0x70ffdf05, 0x1c9f5203,
+    0x714f4969, 0x59c17da0, 0x50a975ba, 0x3dcab436, 0x26f25ae6, 0x195a1bec, 0xc5053adf, 0xd88c1e92,
+    0x341db4eb, 0xac7d440c, 0x057ee701, 0xd240510a, 0xff027e1f, 0x79fc1ef1, 0x51056355, 0xe37b3da7,
+    0x5efe6430, 0x5a651474, 0xc6d9804f, 0x097aa854, 0xfd074c02, 0x59239d0f, 0x99be8575, 0xe387990c,
+    0x68f8aaf6, 0xab3964e9, 0xd85fd7aa, 0xb53e1c84, 0x5d3fda2c, 0xa64fab2d, 0x179f3462, 0x57ddbe21,
+    0xadc349d2, 0xfe560520, 0x05a4df87, 0xa0795b31, 0x51670a90, 0xd66f9f7f, 0x116a4f93, 0xa2b2d5a9,
+    0x8db86198, 0x511fc192, 0xb30726e0, 0x27f2c589, 0x61ae9e14, 0xe5084379, 0x226664e5, 0x7fd2c805,
+    0x09024ec2, 0x7d5747f0, 0xaa2cae23, 0x7d9b7b1f, 0x8908e212, 0xaa6aef2c, 0xac1b08f6, 0xf68c9511,
+    0x6c0acd8b, 0x28061a2f, 0x1f67339f, 0x267b9adf, 0x8aebaff6, 0x8146575c, 0x49ce080c, 0xe004f557,
+    0x1cdcdb5a, 0x3202e5f7, 0x0834af23, 0xc24112cb, 0x3d4844b2, 0xe6de43fa, 0x0c69cd32, 0x719df6b6,
+    0xbe81545d, 0x007844f7, 0x8e685d1b, 0x07d4f8ea, 0x9073454c, 0xded695ca, 0x9ce273e9, 0x968e0ab5,
+    0x91f562ee, 0x9f1b970f, 0x3e366bf8, 0xeb234c78, 0xc3059055, 0x39161e2a, 0x86e72fbb, 0x1057e711,
+    0x64597a52, 0x5914b461, 0x23e07469, 0x43739a13, 0xf3d84511, 0x9d3ca509, 0x09a28694, 0x6898cf67,
+    0x83d2f7c5, 0xee7d3432, 0x6d88178c, 0xdf14a66e, 0x2bbe717f, 0xb97d3f39, 0xd1c50d59, 0xf1f6fbc6,
+    0x01a27572, 0xe4d7ce25, 0xe51a1127, 0x34f3a2ad, 0x5d831926, 0xbc0c2e47, 0x10ca2293, 0x116234fd,
+    0x51f9f980, 0xaba5df62, 0x141880fe, 0xeede5109, 0xfb716184, 0x1e724d74, 0x88d5b737, 0x884d797d,
+    0xddd512e2, 0x910feed0, 0x05d2f96e, 0x16bfac9a, 0xaa62a6f3, 0x2cc0e8a0, 0x8f1abaa6, 0xe1cd7a1c,
+    0xbdaa0000, 0x4e056da6, 0xcd728e38, 0xcff64859, 0xa28ef1e2, 0x390b8be9, 0xdec8da36, 0x80348fc4,
+    0xbe15b9ef, 0xecfb4292, 0x625e9b2c, 0x4a36cb47, 0x3b1d453b, 0x11a67309, 0x0194239f, 0xd35b6c8d,
+    0xf2cd6fed, 0x91eaa8d6, 0xb88da95d, 0xd2bf15ef, 0xccaa3dfa, 0xdddbc225, 0xb08424cb, 0x662c3dd4,
+    0x7674c875, 0x25c6bc97, 0xd36bfc7e, 0x8592215c, 0xfcd08751, 0x1288d2c3, 0x68adccde, 0xdca43487,
+    0x4408dc7c, 0xc5132a94, 0xb5245f50, 0x10dc98d6, 0xc6c22d22, 0x90f1fe7c, 0x8f04b7d4, 0xb86e3a89,
+    0xfa0db673, 0x3fdfb019, 0x54dd291f, 0xd620e144, 0x88040aa3, 0x3c8a5de5, 0x3e6c6ba3, 0xab4c7c56,
+    0x7f7bc37c, 0xa08cdb49, 0x7d4cc775, 0x985f8b33, 0x5d64cf61, 0x6915a15e, 0xd83490df, 0x05597855,
+    0x025ba31b, 0x775af364, 0x8087f600, 0xe7daee80, 0x5c75f755, 0xb0f9a178, 0xb89e3320, 0x1ee1edbb,
+    0x94456365, 0xeaa3c817, 0x2e47b273, 0x4c2e1dc7, 0xe8a50579, 0x88398688, 0xe29f73d3, 0x75be8af0,
+    0x927548ee, 0xfd50467e, 0x1c233eae, 0xa0c1d240, 0x93ce6f51, 0xfd49135d, 0xfe978c33, 0x45ebb3f1,
+    0xd6deddaa, 0x9ab5fc6e, 0x2d2cc350, 0x6a2b0738, 0x87526d5c, 0x91cb3beb, 0x5d56c8bd, 0xbf4e8aff,
+    0xd670539e, 0x731fca33, 0x9c7f581f, 0xaa809d18, 0xbc97c533, 0x2d97ac70, 0xc1b1af5d, 0x85112b6e,
+    0x02dd0fe9, 0xc5d97de8, 0x3424d776, 0xa0e4eebb, 0x77ada5a0, 0x59cb3d38, 0x6a3967ab, 0x8d5b04d9,
+    0x6db54ac2, 0xb8b32865, 0x5b19ddd2, 0x7a88b7bb, 0x0fed359e, 0xccb01018, 0x97bd23fd, 0x2b401054,
+    0x18c2cb67, 0x067de380, 0x61ffe8d0, 0x17110cae, 0x2a64af60, 0x4be3fbec, 0x8ba878a8, 0xd251f5f0,
+    0x70504e3b, 0x7e701ef7, 0x08b42ab1, 0x6f9db891, 0x426c31de, 0xe4ac5000, 0x0adf5024, 0x5d0e2266,
+    0x0f61885f, 0x582d1767, 0x42a6acf7, 0x4196aa74, 0xc9c72133, 0xa3c2455f, 0x1c17252f, 0xf3ddad1c,
+    0xd63a20fc, 0x6c49850c, 0xe7e2a39d, 0x9fd204b6, 0x2d1f3e4d, 0xfbb7e519, 0x516895f4, 0x467a5889,
+    0xb439d036, 0xe66c695c, 0xf5015841, 0x75f5888b, 0xca5e0f86, 0xf9cf4160, 0xac11f52f, 0x57fa35d1,
+    0x3b466a9e, 0xc58e8200, 0x7920e240, 0x9f241cad, 0x3827c26b, 0xa20b8efe, 0xb9b9b9f6, 0xa106ff33,
+    0xc79f1952, 0x12307634, 0x49a5ac07, 0x01ab74d6, 0x73eb385e, 0x32e745a3, 0xb4cc1280, 0x792011e7,
+    0xb43dc45f, 0xd22ea102, 0xaabf6829, 0x313e9efe, 0xaa864a80, 0x62d022c1, 0xd2a4a0f9, 0xdf4548c7,
+    0x883278c3, 0x3a86e212, 0xacb7f11b, 0x4806300b, 0x1c60ff0c, 0xf7f961f5, 0x00d5076d, 0xdc8bbfc4,
+    0x12b25ada, 0x247efb9a, 0xed466927, 0xd6319533, 0x57ef8a83, 0x8eba627a, 0x7df81076, 0x33449693,
+    0x85e77b70, 0x23a0ca0f, 0x9adc7661, 0x6892452a, 0x9dd572eb, 0xa732c435, 0x4537d86d, 0xf4c7f5ee,
+    0x0221f51d, 0x5f1872f8, 0x1d3b6f05, 0x468dceb4, 0x4baf85f3, 0x1d6b674c, 0x654862d4, 0x3423823b,
+    0x206aaeb2, 0xda0bc1de, 0xd3d05e11, 0xe67a9903, 0xca8d0f6d, 0x4fcf4898, 0xc9244154, 0xbe5816ff,
+    0x05ad0fdc, 0xbe499c02, 0x2be88382, 0xcbf2fb50, 0x4e7f29e5, 0x47e55927, 0x5759ddca, 0xbec5688c,
+    0x30282d33, 0x0fd91b56, 0x234322ca, 0xcc269876, 0x3fb21154, 0x9e1e2112, 0x6f0168fa, 0x5bc309ca,
+    0x9bd1d916, 0x1b4510c9, 0x876cdbad, 0x7d3b7e30, 0xb2bf9735, 0x0d575527, 0xdf113891, 0x1fb2bfc7,
+    0x6a2838f1, 0x1a473432, 0x51722250, 0x8e0c388f, 0x64fd419e, 0x8b5ed9a9, 0xb6eccda9, 0x0b732e98,
+    0xae203c2f, 0xa910f5ef, 0x1d2b9ebe, 0x623c74b3, 0xd89ace5d, 0x0daab85e, 0xbbe7c420, 0x860cf28c,
+    0xf22b0730, 0x5addc5de, 0xd4804de8, 0x75848898, 0xae36e95c, 0x74bf2b42, 0x53eb1a4c, 0x81d1e071,
+    0xaba6f688, 0xfef6bba4, 0x903c51b5, 0xaed323a9, 0x6e141c84, 0x9523ffe9, 0xed0365fe, 0xc7b72ac4,
+    0x33492bc8, 0x0cad02cd, 0x6ffd57bf, 0x69d0e8dc, 0xe8eeac55, 0x5cfc8fa3, 0x0067a512, 0x410ad6d0,
+    0x851f0f7e, 0x08712330, 0x1d69023b, 0x34a5ec59, 0xbd3bcfab, 0x614aa9a3, 0x7680d584, 0xfff62341,
+    0x57775cea, 0x949d9cd1, 0x6c489bb2, 0x0037efbb, 0xa11833fa, 0x63606528, 0xb470b408, 0x9b4acc79,
+    0xe27a89fa, 0xd9823a12, 0x29661ce5, 0x9bf015f9, 0x8811e056, 0xdf0c59ed, 0x9e9cd13a, 0xb89a4c27,
+    0xbb90382e, 0x14f82e99, 0x3828c4a0, 0x777ffaf2, 0xe0a231bb, 0x68691ae2, 0x3737eefa, 0x6e3e0983,
+    0xac114d06, 0xb3bd5786, 0xbaad25fa, 0x737e32ed, 0xe49c9e57, 0x5c0f03c2, 0x62e446a3, 0x19423e82,
+    0xd8c2483a, 0xbe6ac4cf, 0x17e3f39b, 0xc8384b20, 0x62289389, 0x700e4d53, 0x38a52491, 0x2f8d9c20,
+    0xff7a6419, 0xd57e8846, 0xa74d9392, 0xb41cba66, 0xfc563ec5, 0x302155d4, 0xe0a6b5fa, 0xbe7e86b8,
+    0xad72a935, 0xdc944298, 0xd4e4fe22, 0xd1e55c34, 0xa7ea7aa9, 0x102f012f, 0xd60e5616, 0x4c252fa8,
+    0x8a5cf837, 0xf5169620, 0xb2e578f8, 0xd0fec946, 0x99173873, 0xd4c6968b, 0x6cd82d8f, 0x423201f2,
+    0x1b9bc353, 0x4cefc637, 0x39fb5f64, 0x787cbba1, 0x9551749c, 0xe4594ced, 0xfc576a5c, 0xd1f4733c,
+    0xe3b530e0, 0x887ceab8, 0xe2f51e38, 0x728ad2df, 0xb707a075, 0x6f84d153, 0x7f2a4e4f, 0x8e7bf275,
+    0xd7c8ada4, 0x97458bc1, 0xeda6d872, 0x276f9f08, 0x0708ccc4, 0x12530525, 0x0228e5dd, 0x53f858fc,
+    0xcc135cb4, 0x8ae2446d, 0x8633ec0d, 0xc35d444a, 0x007e3ea5, 0xae2384cc, 0x1e55490d, 0x4d4857ba,
+    0xe37c2150, 0xb2d0bc83, 0x6a1b9db0, 0x0ecd1127, 0xa0d2103f, 0xa653c2b0, 0x8838bc9a, 0x421e157c,
+    0x7ff4c46f, 0xa3b6094b, 0xcc65b555, 0xc79d7a15, 0xca0e9397, 0x6b2307b3, 0x02899069, 0x45abd91b,
+    0x73fa78bf, 0xd0dd580e, 0x16778351, 0xcc0fe03a, 0x62cf2d21, 0x8c2fea2f, 0x269e067f, 0x7b6e6c6b,
+    0x5791419f, 0xfc13e391, 0xb9e2207d, 0xdc956ed7, 0x700ab996, 0xfb162214, 0xa0f44812, 0x36441e83,
+    0x6d97a20c, 0x950768e5, 0x68cf7de8, 0x4f48afb6, 0x267f38ba, 0xac63e874, 0x6bb1e7f4, 0xd184a925,
+    0xfa41406a, 0x4c6ff730, 0x5a5aa2b1, 0xb80b4ce6, 0x059597aa, 0x134a376d, 0x55509f1d, 0x1914c1fb,
+    0x0a5ae11b, 0xad566532, 0xa7ad9272, 0xda5457f2, 0xba58e49c, 0x5667398a, 0xd0bccb9f, 0x81c50849,
+    0x30a64af0, 0xec632f6c, 0xd34f1ff3, 0x23cd4787, 0xe12be577, 0xdec75c6b, 0x76977db9, 0xa0d828e0,
+    0xdc43080f, 0x70540f91, 0x5cb636e3, 0xc70e2c78, 0xe5d1a804, 0xaa3f24f1, 0x8a443e0d, 0x38f74e18,
+    0xea408a1f, 0x0baa46d1, 0x68ba47e8, 0x0f387573, 0x513dd197, 0x589ef714, 0x19da5cdf, 0xd4a66cbe,
+    0xb5130496, 0xd956b3fd, 0x8a3fe2a0, 0x4369aa67, 0x64d279dd, 0xda149456, 0x85a6c410, 0x820113b6,
+    0x1e50356f, 0x5c489b82, 0xe8f3e54e, 0xa119c5cc, 0xefe6df33, 0x470ccb68, 0xae8bcce2, 0x7c32a00f,
+    0xe882f28f, 0xebf7453a, 0xab9066ca, 0xb1e89da7, 0xbeb98705, 0xfd97ab1c, 0x02ca436c, 0x6259643a,
+    0x98b13ac8, 0x2e315551, 0xf9a57fce, 0xd663e5f4, 0xf0bf7c8f, 0x5f01677d, 0x58381b6e, 0xa2a134ca,
+    0xae86d597, 0x22f59f77, 0x01131ff3, 0x10f3aac7, 0x72822933, 0x0c1c4169, 0x51ae3fad, 0xa15810eb,
+    0x29afba9c, 0x68819214, 0x490d4be3, 0x79e8eb6d, 0x60cb3386, 0xfbe5a406, 0x3375e00d, 0x614f442b,
+    0x3e921c9e, 0x118a374f, 0xf962d51e, 0xa078811d, 0x6a595368, 0xda34ba4b, 0x78e27a07, 0xe99ee82b,
+    0xc22c6bdc, 0xc0ba50cd, 0x4c5cafb9, 0x72b6c194, 0xb7ddde11, 0xeac45006, 0x8de2d795, 0xccf993d3,
+    0x4a80dc65, 0x1fbd1bd9, 0x04052a37, 0xb789bafb, 0x68e682ff, 0xf210fc27, 0xdacaa775, 0xf7949697,
+    0x00000000 }, /* 10**00000031966705155235760449347555633082022970865644980889304584797767266563806\
+                         60551439995003193449537015778467662777468320381844938727095591204153641140224 */
+  { 0x00000000,
+    0x400006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640417,
+    0x3c2ce833, 0x287ef4ee, 0xa8f9d1f1, 0x25f55b1d, 0x685eb0a1, 0xaf72402b, 0x2e52a67f, 0x8b166a7a,
+    0x00000000,
+    0x808f1f08, 0x38c9ca3f, 0x9b03487d, 0x42eb2276, 0x56eda46d, 0x1159ba5f, 0xe52ef3f8, 0xcdc378ba,
+    0x6a3d72a2, 0xe31ee928, 0x8a583a32, 0x7cdfd410, 0x19783312, 0x889abb60, 0xa16f064d, 0x573eac57,
+    0x826c4cda, 0xe4ba06ed, 0xea7d8532, 0x101189db, 0x234bdae5, 0x2ed65e2f, 0xd67d70b4, 0x18a8b2db,
+    0xb01aed3d, 0x0591ffe8, 0x1052ccd3, 0x523e9b43, 0x4165906f, 0xfb801fb5, 0x495a117c, 0xa42668ea,
+    0xd6183314, 0x57b935cb, 0x3788824a, 0xdf27c2ca, 0xdfdcaff6, 0xe32c7148, 0xe39861b6, 0x0dbb2bc9,
+    0xf6637dfd, 0x71dfa76a, 0x072e9e04, 0xd6a778f7, 0xb0ca79f9, 0x29ffb17f, 0x5dcd2c9d, 0x47acceb7,
+    0xe7e9e12f, 0xf2668f81, 0xfe84c61d, 0xcc0c640c, 0x09881080, 0x548ab7fc, 0x45b668a8, 0x0fe2e283,
+    0x68f678fb, 0xa226527f, 0xd726eb44, 0x5534c236, 0xfe7e15cc, 0x238c8be3, 0x187e3e82, 0x50432425,
+    0xcb81359c, 0xe9af2763, 0xcad1d81e, 0xe4822292, 0xfe76c8ad, 0xb6637e67, 0xa96b0873, 0x068111cc,
+    0x47160e34, 0xbdf04cfc, 0x06a653b4, 0xc889497c, 0xc0fef334, 0xa6d5b18f, 0x80cae5dd, 0x3307f5b0,
+    0xd18d0a94, 0xb4ff27b8, 0x792285aa, 0xb3aa8f88, 0xe6320a56, 0x72a61468, 0x123b4427, 0x0b418ad8,
+    0x61030b07, 0x4d9c1faf, 0x6c2e33d4, 0xc6a9fa22, 0xe329e64a, 0xf2841e01, 0xc0120bb2, 0x0b174cf5,
+    0x36a4f647, 0x9a62f005, 0x22fabb38, 0xa076014b, 0xfb359538, 0x762c29bc, 0xf9337840, 0xd66f6019,
+    0x0b06acf1, 0x05d5d953, 0xb9f65c5d, 0xcfeefe65, 0x4d385927, 0x39592bd2, 0x074589c6, 0x0734c03d,
+    0xe635eaf8, 0x189d5d13, 0x0312bf81, 0xb0ea204e, 0xe9d36c7f, 0x3cede207, 0xeae03e8b, 0x8c5da7ab,
+    0xd97244f2, 0x3f00d0ff, 0xd66a7ed1, 0x18e10691, 0xbb8734af, 0xbb9d8ab1, 0xf7a54944, 0xe957fb86,
+    0x7065017e, 0x52f0e1bd, 0x2b576fff, 0xfd947d0c, 0x1359873b, 0x2512f47e, 0xe3f51a26, 0x08020caa,
+    0xb7664418, 0xc8d43ff5, 0x6b856024, 0x05b1f463, 0x950ed33d, 0xc9098614, 0xbcccf679, 0xe3b2ac7b,
+    0x39cc70e3, 0x0d56614e, 0x9c70eba9, 0x796f6db0, 0xa07adfc9, 0x4b78b99d, 0xdf871a93, 0xe8a695b2,
+    0xbfda2dd2, 0x779be1d9, 0x2cf23142, 0xf7cea75d, 0x00bfd04a, 0x8f3bffe2, 0xeec43114, 0x49ad96cc,
+    0xf6e98812, 0x6bec6944, 0x2c951028, 0x844d9c24, 0xfeef18da, 0xa272ffd8, 0x09f8498a, 0xc662472b,
+    0x554c42e1, 0x52ce160c, 0xb967af61, 0x35da4b69, 0x2de83bcc, 0xe6625f2a, 0xd3ae2912, 0xc5f2c288,
+    0x9fe0821b, 0x9b5e7c71, 0x06c526c1, 0xb32cf93c, 0x2332f160, 0xbd26ae80, 0x85d8fad0, 0x7e34fe07,
+    0x0148096d, 0x09f181bb, 0x4eeb1812, 0x42979a0e, 0x0ae88853, 0x010118ca, 0x832c339c, 0x1b5e015c,
+    0x6ddf444a, 0xfdd24459, 0x4bbd5429, 0xcbc13bc6, 0x6f09dcec, 0x9e030a4a, 0x09be42c2, 0x2ccc95c5,
+    0xc19f90ed, 0xea2a4707, 0x4ee2601e, 0x8295e140, 0xea6cc1e9, 0x328b7bb3, 0xb2902b35, 0x4f0ac772,
+    0xf2b3a031, 0xbf6684af, 0x5c5181fd, 0xc6c1d7b8, 0xe9f950da, 0xd387b1d8, 0x31a44e78, 0x17c2eb00,
+    0x5fa78119, 0x771a5939, 0xe832e868, 0x8b0b013c, 0x11437a4d, 0x06938cd1, 0x03c41f70, 0xcc0b6b6a,
+    0x370425ee, 0x3202a0c3, 0xf085c724, 0x1b458989, 0xd985a7f1, 0x3f2ba03a, 0xca2bdd16, 0xc16163d6,
+    0xf93578a0, 0x44fc1d49, 0xb07e5378, 0x8bc897ce, 0x24e3370b, 0x45d32589, 0x06434d2d, 0x7de5bce4,
+    0x63f0d242, 0xe2c5829a, 0xa31fff3d, 0x780b34fc, 0xb9e68eed, 0x47b19f17, 0x3d93b130, 0xb0db6cc5,
+    0x097f0e33, 0x88dfa7ff, 0x6b5c28e8, 0x65c366e8, 0x7a2c5e56, 0x47effe7e, 0x0ef8fa7d, 0x00eeaf19,
+    0xf9f07d9f, 0x7539611e, 0x79af2f81, 0xd66e350c, 0xe4fbbf7a, 0xff183328, 0xe914e64e, 0xdd964a7e,
+    0x8084029b, 0x6c663d6b, 0x4e234183, 0x2cbbfef4, 0x774ec637, 0x5b11d9a1, 0x6ff32b78, 0x75b8c635,
+    0xb20f80cc, 0x992f858d, 0x4464d7b6, 0x5b04c916, 0x17c6bbaf, 0x002f9066, 0xc6f2897f, 0xad761cf6,
+    0xf6d12749, 0x1f22911b, 0x59dbdc4f, 0x2698bab0, 0x7b927299, 0xefd1d69d, 0xa050fa50, 0xb1b0fe5d,
+    0x78a19f3f, 0x2e2cabc5, 0x4072e744, 0x1e6afe62, 0x11200562, 0xf8290309, 0xef1082c8, 0x4fb9c72e,
+    0xd2261a64, 0x0ca5becd, 0x68e7fe48, 0xc311dec4, 0x56b54755, 0x4ca9ba8e, 0x1a68b6a0, 0xba40a313,
+    0xd33f51a3, 0x541295a5, 0xa8da95a5, 0x8343e495, 0xb9353d6f, 0x78bada87, 0x0c0345f7, 0x745baea3,
+    0xa3209aef, 0xafb4b33d, 0x0d920008, 0xb17df16e, 0xb7e840ba, 0x0fea0f64, 0xe65fecd7, 0x4ac5f780,
+    0xad62f5e6, 0xd8bc9dfe, 0x6d893a70, 0x0143c33f, 0x8fda4fae, 0x79e0b4c3, 0xd7a9a6fb, 0x0286d66d,
+    0x1c475232, 0x91652428, 0xf394e39f, 0x2ae2700b, 0xd3810b50, 0x30a6b27f, 0x2d6517d1, 0x3b6594ea,
+    0xbaa59417, 0x4dbf1010, 0xd873f29c, 0xfe6725f7, 0xa9d022bc, 0x3bf40139, 0x61ca5778, 0x9183c453,
+    0xd5235f7c, 0x6c108046, 0x5bee94f9, 0x43e1f324, 0x0657fb0d, 0x8fb25b5d, 0x03d1af79, 0xadae4a77,
+    0xda3e149b, 0xaaf2f465, 0xbd4def60, 0x107f7936, 0x4d8970f3, 0xb7337cd3, 0xc2dc3737, 0x6e8b9601,
+    0xcf01f4a4, 0xf8a5c922, 0xba765a34, 0x49f11819, 0xb019509b, 0x4559f649, 0x96b162d2, 0xce299049,
+    0x042e5c2a, 0xdbfe8ce6, 0x65396d0f, 0x8d80d9c4, 0x1c89f65d, 0x4d4626e0, 0x547515f9, 0x2b9d28fa,
+    0xd4baf8a5, 0xbd37f335, 0xe126b044, 0x93897c01, 0x45089148, 0x301db970, 0xf42e7429, 0x0608765d,
+    0x9c520aab, 0xab5fc548, 0x99698b4e, 0x7aee5c55, 0x5c2450d5, 0x2adbd7f2, 0x43922d79, 0xbb1352f1,
+    0x5d1833bb, 0xf86fad29, 0xc2b42e91, 0x6f3228fc, 0x09f48995, 0x94307e39, 0xe101b223, 0x0dac2c5e,
+    0x38718d54, 0x9f6d8d5d, 0x266ad6c0, 0xd9057d49, 0xd6f6cba8, 0x07f2e5ec, 0x0f7a85a8, 0x3c58f4d3,
+    0x81854aca, 0xcc9f6eea, 0xcd038c97, 0x3509b28d, 0xcf6393ec, 0x2b1a172e, 0x93e4fa70, 0x6d5cc139,
+    0x3e8ffa32, 0x043988c4, 0xc5920233, 0x3efaa0e8, 0x6367cecf, 0x374edf17, 0xf811134a, 0x991d57b1,
+    0x09641aee, 0xc8b4f4c2, 0xd44e5ffa, 0x9e5838f2, 0x2d6da7cf, 0x88c61a98, 0x6c5ef6a2, 0x1a66470c,
+    0x43dbd467, 0x2464bbea, 0xfb472143, 0xc7d88adf, 0x75f84566, 0x83c00e41, 0xabf6a30c, 0x27a91889,
+    0x742ba08b, 0x08dc779a, 0xf605d15c, 0x62642787, 0x51a6bf04, 0x70aeeabf, 0x53d5b658, 0x7f3b4d8b,
+    0x2693ca39, 0x97fc2fae, 0x90ce8977, 0xcea661da, 0xd022f0a1, 0x5a6150f7, 0xfb926e2f, 0xcc023423,
+    0xed90b2df, 0x632dd64a, 0x69ee9b8a, 0x950b0023, 0x07accec9, 0xd5690b49, 0xc3ca383d, 0xe7b1be74,
+    0xfaaf4ae0, 0x7b591d89, 0x978ecda7, 0xaefdfa27, 0xfd6c2d08, 0x61e7efea, 0x2098d7ad, 0x669bdd9a,
+    0xacfa5c36, 0x003757ed, 0xaed945ef, 0x259c518d, 0xa461eab2, 0x53d331b2, 0xd9ba48ea, 0xee019925,
+    0x94d20336, 0x1168d572, 0xf8c24f65, 0x867f46b6, 0x724e3e3f, 0xe30149b0, 0x4add0f1f, 0x2662bd84,
+    0xe9e629dc, 0x5e655045, 0xc40f4366, 0x4556e761, 0xf54f6d07, 0xac39f4f1, 0xd863cf00, 0x44e408bf,
+    0x546ab6f3, 0x6b748ca9, 0xa7918e70, 0x87f435d9, 0xd069f654, 0x761438f6, 0x08ae1f85, 0xea5471ed,
+    0xe8719d56, 0x9609800e, 0x9ed54423, 0x024048bc, 0xde7516c8, 0xeda2c559, 0x31df097e, 0x607f9e75,
+    0x95062cbd, 0x6775ea20, 0x1c4dff6a, 0x3dcb529b, 0xf0490577, 0xa20e7b36, 0xb1ef7817, 0x03837d01,
+    0xd711dd56, 0x8895fbce, 0x6a13cd68, 0x266475e6, 0x22726cec, 0x093e9c25, 0x4102bbe0, 0xe7d45560,
+    0x4bab5f12, 0xe6b8f23c, 0x3f278593, 0x8d2a7cb2, 0x93fd8724, 0x4e92c95c, 0x0ac63e24, 0x049d8cbe,
+    0xf686cb48, 0x725c5b39, 0x51962642, 0xfdb2099a, 0x8315efe8, 0x044a4a80, 0x41b92ae0, 0x5d748ddf,
+    0x0dd3f491, 0x7a50e5d0, 0x1a5d4c4f, 0xc7434cf9, 0x292a3523, 0x0642be1a, 0x2266f9d6, 0x3110aa7c,
+    0xe61db7d2, 0x08181f63, 0x912db403, 0x86b017cd, 0x028fccca, 0x9e3239ad, 0x7c75f348, 0x7fba806d,
+    0xf8ec5140, 0xca4deece, 0xb210f963, 0xdc5200e5, 0x71d7b9a1, 0x1a9716c9, 0x6a479e30, 0x53727f2c,
+    0x7f31d65b, 0x88ca3cdb, 0x82cde708, 0x1ff7cdb8, 0x28f89dc4, 0x52a26c17, 0xa5424375, 0x76c5c3ca,
+    0x92f09685, 0x0dc90e9b, 0x10a6c137, 0x420768d5, 0x4bd50f13, 0xde801395, 0x764b8955, 0x3ef2941e,
+    0x46d65cf3, 0xa84d07bb, 0xe325ba59, 0xe810ac41, 0x3c75d595, 0x66d64897, 0x8374f392, 0x61b0cd55,
+    0x7213ed87, 0xb079eb8c, 0x7a54071f, 0x55397e79, 0xed0e77f3, 0x2c12598a, 0x6c9b6898, 0xbf9c3cc3,
+    0xcd50f08d, 0x3cecfb9c, 0x5541a8fd, 0x80ab3af7, 0x01ffd065, 0x7c7c7783, 0x93032789, 0xf65f7816,
+    0xcf419034, 0x2ad51033, 0xe531e03c, 0x916b28dd, 0xec13b520, 0x041cfc5c, 0x06777026, 0xf699e1b5,
+    0xafbb937b, 0xd7b4e1be, 0xe935ffcc, 0x96cfed21, 0x45cfd173, 0x96c69947, 0x3b6781d9, 0x92097464,
+    0xa2cf6cf4, 0xc5d5f152, 0x38b23846, 0x69d8173f, 0x4e770501, 0xdd173e03, 0x19215f46, 0x7ca60952,
+    0xfb420da5, 0x0bd58cc7, 0x52089609, 0xc83da4f2, 0x8459e0eb, 0x4b12f7a8, 0x81b03473, 0x48ba09e5,
+    0xa9cd2db8, 0xa97d9a81, 0x3790faaf, 0x740f221b, 0x2c8d87cf, 0x47b4d932, 0x66cc664a, 0x10984ea3,
+    0x943e468e, 0xe8675a1d, 0xad3c1e2e, 0xec30d9af, 0x6e03dfc8, 0x621da712, 0xe4a375b5, 0x43fbc2bc,
+    0xc70842e4, 0xb01e4d54, 0x3991b505, 0xcbbb6e9f, 0x4ff37439, 0xb3bbd871, 0x7f6fef4e, 0x014198c4,
+    0x367baeeb, 0x444e984f, 0x0d51fd91, 0x6d689b1f, 0x1a658d4e, 0x021544ce, 0xe39c44e3, 0xae376c7a,
+    0xe4d93630, 0xf6a0aba3, 0xf6933aca, 0xea474f7e, 0xce097805, 0x5a123a7c, 0x9dfc0ccb, 0x93f597df,
+    0xc1bd60d9, 0x6adbed3f, 0x8a9d0533, 0x24cd54a9, 0x13193072, 0xa40be875, 0xb804cd71, 0xd82a1659,
+    0x9d3574be, 0xf64bae3e, 0x3ce9f56b, 0x5ba7f001, 0xc72fdd48, 0xe47d4179, 0x1e41781e, 0x79655640,
+    0x4c11d27b, 0xc16c035d, 0x066302cb, 0x4958ecae, 0xe4b77976, 0x38ed54d7, 0xe0e1b17c, 0xae15f3e6,
+    0x2d8c407a, 0x33dbec9e, 0x9bbad079, 0xa229261d, 0x4e31997d, 0xa0a98a12, 0x4274f5d0, 0x6d04e7f9,
+    0x61642c09, 0x8e69b943, 0x4c674d21, 0x42446b45, 0x663c83fa, 0x70ddd20c, 0xbe18db43, 0xdd15059b,
+    0x1bb63617, 0xd7ca957c, 0xaa32e74a, 0x534e560f, 0x50360895, 0xf57a09ce, 0xfd06ef55, 0x87c2771c,
+    0xcea03566, 0x3e60768a, 0x056d2d1d, 0xe2cb4ecd, 0xdf09c317, 0xf8aa9a34, 0x828ae15c, 0x126f33f8,
+    0x9b025c36, 0x95758bf5, 0x1111c8a7, 0xf6587cbf, 0xde0bab34, 0x969d00c4, 0x3aae84c9, 0xd1d48584,
+    0x210ddc76, 0x0708f12a, 0xd917f8a6, 0xc4bad275, 0x54697ff3, 0x564ae16c, 0x6471ebc3, 0x941a099a,
+    0x4af2bc1b, 0xf6d28bbf, 0xc4167760, 0x6517e6c5, 0x061bcd8d, 0xcabfe87c, 0x28014499, 0x35a3ad25,
+    0x969cc532, 0xe34ce364, 0xb079ed17, 0xf2d8e2e7, 0xdb169466, 0x3e09eafb, 0xc38ab19d, 0x87c35fe0,
+    0xe3cf3c75, 0x241b9a52, 0xca780b7a, 0x01fac910, 0xe784d998, 0x0556583c, 0x455f6c0c, 0x6cbca2c3,
+    0xc2c79fa8, 0x174ad7c9, 0x70e12737, 0x15532a71, 0xa523e126, 0x31e3cf2c, 0xd727f468, 0x1fde3451,
+    0xcf39cd85, 0x3f2debfc, 0xcdb136e0, 0x8b54fbcc, 0x581fc810, 0xa07b0721, 0x8f3918c7, 0xdfa3e9db,
+    0xacf6a75f, 0x2d352333, 0xcb615e28, 0x38f8774c, 0xf6a8fe31, 0xba572f58, 0xd0671e1b, 0xaa515433,
+    0x748d1594, 0x1fec7f0f, 0x3eeb9c20, 0x1fb119eb, 0x605e9a41, 0x0265833f, 0xc05e1a72, 0xdda2fe98,
+    0x8fdaf2e4, 0x6f1ed252, 0x3ecaac76, 0x626e80d3, 0x710a974e, 0x57bf086a, 0x650ab3a3, 0x877318c4,
+    0x60f78945, 0x422fb004, 0x035d448a, 0xb1e15058, 0xbfb68d67, 0xc36b8e53, 0xaa11869d, 0x8a1e01d7,
+    0xc70513f3, 0xd2284e8c, 0xcff4eb14, 0x3c55fcc1, 0x07e3afb5, 0x661195ed, 0x48de9c27, 0x64ecda13,
+    0x365a2aa8, 0x0bb18431, 0x799f75ff, 0x774cc636, 0x8e68000d, 0x30f057a5, 0x5a3fc578, 0x84129c4a,
+    0xa6fe99ef, 0x9b471e7b, 0x1f8006f7, 0x6b6f5dcb, 0x0967492b, 0xe61d53a8, 0x497271c3, 0x434d8e0c,
+    0xfeded380, 0x7ed95057, 0x41aa1f68, 0x741111b2, 0xaca0b323, 0x0b0fa247, 0x863a203d, 0x7df2b543,
+    0x24e6b54b, 0x40c0deea, 0x071a47dd, 0xa3a35fe6, 0xd60d7626, 0x6febf43e, 0xd3c9233d, 0x03a9db86,
+    0x2eaaffc8, 0x32bc80da, 0xb9f72e24, 0x42c0a92f, 0x60cea7e1, 0x4126e313, 0xae65f4a5, 0x6d166bf6,
+    0x054c3024, 0xfb84d009, 0x00641887, 0x6e595ed8, 0x8299b529, 0x801d33ad, 0x1cf0aa03, 0x0f28b02d,
+    0x3ac59180, 0x725a7b5b, 0x2cb9acdb, 0x2c8218db, 0x31bac272, 0xf17d0865, 0x8cabb7ba, 0x8915e460,
+    0x9aa89ad2, 0x31fef225, 0x3933da40, 0x8b701b36, 0xc7de6cee, 0x2f4162b3, 0xc8caddce, 0xb585c66b,
+    0xbc9de284, 0x314f8c75, 0x2986b75d, 0x578d9370, 0x48e1155b, 0x4a7ddb33, 0x187a206a, 0x3f2f34ef,
+    0x1b34daba, 0x7375258c, 0x8904c61b, 0xa9493f4e, 0x4773964e, 0x4682a0f1, 0x572127b5, 0xc3e8035d,
+    0x2cb94f53, 0xb7d0654e, 0xab2f28cf, 0x0c582563, 0xd33916c7, 0x41583e52, 0x6aa1d012, 0xb103b8a4,
+    0x9476d4e4, 0xec5e5bf4, 0xa45698d8, 0xd20bbde0, 0xa6c2403f, 0x5606c944, 0xc5adf70d, 0x694e1e31,
+    0x6abd84a1, 0xb4afb571, 0x4a1f0b47, 0x2c2b2e31, 0xec6c0bce, 0x6db7a0c3, 0xfffb4862, 0x5b0c9e24,
+    0x89bbfe15, 0x00ca42a5, 0xf524cb88, 0x4ebbe22e, 0xaa762dc1, 0x5a6bee5d, 0x21d11ee0, 0xe16bdac3,
+    0x234e735c, 0x5e6d44d0, 0x6dfb5810, 0xe77c41bb, 0xd461b6b3, 0xc285c037, 0x9948872c, 0xc6c343de,
+    0x638cd3ba, 0x13f3a3f6, 0xe45d8d4d, 0x8252ca16, 0x4c1fbc80, 0xe4fd3755, 0x0a5e4117, 0xa00f00bb,
+    0xf8b498cc, 0x8808e230, 0xd057e5ba, 0x25e14ec8, 0x06576bd5, 0xfb25d455, 0x47d0c449, 0x195ec6f6,
+    0xc58764ca, 0xb2bf1d21, 0xe9076398, 0x261fd962, 0x0d66bc43, 0xb4a87d2c, 0x3ffe37b3, 0xe4d1830a,
+    0x2b24ea57, 0xc0335cdc, 0x2a2bf654, 0x9583aa95, 0x26e13aec, 0x2e96ab8f, 0xaf3a5377, 0x4976fa4c,
+    0x08f7084f, 0x1cf9c50f, 0x31009dd5, 0x46adf41e, 0x36b1b1f1, 0xa2078f71, 0x15dc9ead, 0xfdc240b4,
+    0xf5e40dda, 0xd4609c53, 0x3b79f1bb, 0x4e999ee4, 0x885b36e2, 0x258da6ef, 0x480aa2f6, 0xb0fb9ec7,
+    0x192106b9, 0xbe443c5b, 0x82140176, 0x89b6f22d, 0xb624b795, 0xaa44f583, 0xf49d1250, 0xd9eae9b3,
+    0x00000000 }, /* 10**00000015983352577617880224673777816541011485432822490444652292398883633281903\
+                         30275719997501596724768507889233831388734160190922469363547795602076820570112 */
+  { 0x00000000,
+    0x40000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020b,
+    0x9e167419, 0x943f7a77, 0x547ce8f8, 0x92faad8e, 0xb42f5850, 0xd7b92015, 0x9729533f, 0xc58b353c,
+    0x00000000,
+    0xb56a0aae, 0xf01192aa, 0xd2165e26, 0xcbf355ae, 0x71186d62, 0xfe4b31ec, 0x30e3f019, 0x25d0c76b,
+    0x79c42f63, 0xaab84316, 0x57f1a735, 0x293dbfdb, 0xe63c73e7, 0x49914ff5, 0x92553fab, 0xff8c8357,
+    0xe2a8dc57, 0xa4b32233, 0xd109e69e, 0x13eafb4d, 0x0257fadf, 0xb2471706, 0x053ebf6d, 0x25f1de1d,
+    0x11c68dfb, 0xb6f4c0be, 0x56e31abf, 0x917a5c08, 0x63db9fc4, 0x0ecf1cba, 0x2f371c86, 0xd1335b1e,
+    0x407fbc65, 0x2409bf82, 0x583d5cb2, 0xb5c54c65, 0xc26fd5be, 0x6479f2df, 0xb3f58c04, 0x1ca0e43f,
+    0x742a81e3, 0xff386f39, 0x890e2668, 0x8c350902, 0x521cc02a, 0xa05a665a, 0x2549e3cf, 0x3ada3307,
+    0x176fa305, 0xa7788e64, 0xe5f5af35, 0x25fb5836, 0x3f787f55, 0x4119a948, 0xa74c4251, 0x8dc7d497,
+    0xe9425c69, 0xfd91054f, 0x9bc9d7ed, 0x363367c8, 0x73cf990e, 0x3477a269, 0x12c3b7e7, 0x28d51e15,
+    0x19d7c9f4, 0x5377114e, 0x810b8032, 0x44f45e30, 0x368f1350, 0x47b59f70, 0xc0f66902, 0xfed3ff22,
+    0xbe44a6da, 0x4a8a9a23, 0x81e98174, 0x933ddae9, 0x0339eacf, 0xacdfab44, 0xff704f72, 0x0682f28f,
+    0xcd26c1a7, 0xc32f3677, 0x078bc651, 0x59487842, 0x97c2754f, 0x8ac4889f, 0x94f161c7, 0x40bb1f99,
+    0x95a590e0, 0x3100709d, 0xc24d7bfe, 0xc9917472, 0xed767f53, 0x4efcb471, 0x88a0cc1a, 0x9cb4dbbe,
+    0x55be0c66, 0xc75f5250, 0xb05a8741, 0x415b1aed, 0x9a0feeeb, 0x736c04c5, 0xf008bb6f, 0x115a2a29,
+    0xc0ec7b91, 0x70abc6f7, 0xd50ae339, 0x53d70846, 0xea982b64, 0xc9336e9e, 0x80e7cd0f, 0x85330d6f,
+    0x54d432b5, 0x09e50f63, 0xa3ec4514, 0xdfc8ed9c, 0xa4743921, 0x7dafbf8d, 0x62d91749, 0xd83cc5eb,
+    0x071f1000, 0x5439868a, 0x3ae73036, 0xcb551582, 0x7b36b49c, 0x69a1b2b3, 0xb3ca0c3b, 0x1dc494b8,
+    0x9ab162d2, 0xf21fa4d5, 0x44ac2f24, 0xd637fcf3, 0x75353c7d, 0x02403c71, 0xeccfec5e, 0x42b8bd3c,
+    0xc729972d, 0x19953e7e, 0x37971637, 0x33e10c05, 0xae7c1784, 0x520b8444, 0x402152d1, 0x05523ae9,
+    0x608986a9, 0x8d431ea7, 0x919b2621, 0xb1e02ed4, 0xb7155822, 0x27b8f249, 0x51844933, 0x2e83c2f9,
+    0x6cb0b3e4, 0x31fdf137, 0x0d1fcc05, 0x4d67c7bc, 0xa5ae719c, 0xc5359755, 0x8942202f, 0x141d6991,
+    0xa1111d38, 0x1de8c2f1, 0xbb3a0986, 0x76968ce2, 0xaac3a816, 0x89df2998, 0x6f83b8e9, 0x5c6e02fb,
+    0x728211da, 0x3bfa3e18, 0xdf947500, 0xd80b37d0, 0x419c780f, 0xc7166932, 0x82f13f08, 0xe0d1e0fc,
+    0xf6675758, 0x32e8091c, 0x6da1a238, 0x65899494, 0xc8bc2553, 0x2fff6129, 0x18f43105, 0xb71a3071,
+    0x8deab269, 0xe27742f5, 0xd99cec4a, 0x507cd1de, 0x5610d1b6, 0x130b10ac, 0x692b66c5, 0x99fb78af,
+    0x81f2ba8a, 0x4a9db6b0, 0x006d7089, 0xaf0fdc76, 0x47e2558e, 0xfe7a46f2, 0xed02e354, 0x54f344ea,
+    0xa8b28fa7, 0x92ca880b, 0x609d73fc, 0x32b6e2f1, 0x05176f6f, 0x2f9959cc, 0x306dc5f4, 0xff9b8b01,
+    0x07a1ed46, 0x67ed14c3, 0x8cfb5343, 0x9594a9d1, 0x3d995c2d, 0xeae313d9, 0x1aca4b7e, 0x5078d540,
+    0x6331b8ac, 0x6df356a2, 0x82164c15, 0xfcf99d22, 0x37489772, 0xd7db0877, 0x6c84ba71, 0xf454717c,
+    0xff869959, 0xf9d120a0, 0x8bd3ce7c, 0x4c71d7fc, 0xb5556bbd, 0x89ee63d1, 0x7ff4a560, 0x4f6d29f2,
+    0x31e5084b, 0x799210d3, 0xdb3ae4c2, 0xcc415310, 0x23ef26b0, 0x9439ceb6, 0x5906db92, 0x2e44fef6,
+    0x044d0c2d, 0x67492ae3, 0x6234179f, 0xde01e4e6, 0x2e0aeb00, 0xb12aa5ca, 0xf90071e2, 0x22f3b2c3,
+    0x27ad4492, 0x1782fb31, 0x42a8d47e, 0x5beb4056, 0x51eee175, 0x62202c69, 0xbf862797, 0xeee42c72,
+    0x68ff80b2, 0xfc1a7798, 0xc9ccf1f2, 0x7799d8b7, 0xe15f1673, 0xcdf0e504, 0x626d1e44, 0x9edf5f9f,
+    0x074379e9, 0x3e4f6db9, 0xf56853c3, 0xe25d4179, 0x880e3876, 0x5c86c292, 0xb03bb988, 0x33354271,
+    0x2d23dc40, 0x9f891f8d, 0x5e2b19f4, 0x2a1742f3, 0xa3c20a31, 0x2692cb5f, 0x728ab21e, 0xa6c4fb66,
+    0x4f9d4adf, 0xcebc20f3, 0xf6476406, 0x1511f0ab, 0x9cf9877f, 0xf3993108, 0x226be7d5, 0x7b56cfb2,
+    0xb76490d2, 0x978482f2, 0xdef3d327, 0x96e99155, 0x3db8649a, 0x513b0b42, 0x3740bd28, 0x4de2d2ce,
+    0xf425e0b5, 0x507426ad, 0x41984daa, 0x1d9aea89, 0x904e53f6, 0x778be6ce, 0x9769f30c, 0x5086fffa,
+    0x81ee4264, 0x38b307cf, 0x6785370d, 0xae71661f, 0x2d5ad7a1, 0x49d98c23, 0xd2ef3efd, 0x477d0f93,
+    0x3f3c74e4, 0x46c7d3b4, 0x5f8b9448, 0x9e303c2b, 0xb0f08002, 0xfa47b175, 0x9e317551, 0xa04a5d17,
+    0x627f5c22, 0x91d6a003, 0x00c0dd6a, 0x9a810962, 0xbb4e018b, 0xd6fd8328, 0x30054e37, 0xadc74563,
+    0x3c22ace5, 0x614f1f08, 0x5f56ce28, 0x8870a9ba, 0xa53e2ab9, 0xcb7bcb62, 0x7098d2bd, 0x0f77439e,
+    0xda6a101d, 0x5b33661b, 0x17ffbfce, 0x687673a0, 0x0218e164, 0xabf20f52, 0x70bfef1b, 0xa951a6bf,
+    0xc1bde545, 0xd0e966eb, 0x7835346b, 0x6895c101, 0xd3b445e3, 0xf6f246e6, 0x40cc0a13, 0x24e05f61,
+    0x8a282eda, 0xf45dc76d, 0x82b87d16, 0xfe18c209, 0xa6956db4, 0x0a76e424, 0x2e4dcd01, 0xc8764803,
+    0x8cda698c, 0x682b4e77, 0x21848bfd, 0xd5bbec30, 0x56feec28, 0xb1d25ee5, 0xc1851414, 0x13a88279,
+    0x44bfd8ce, 0x8d3107ff, 0x641c24be, 0x54470cd7, 0xd7e49036, 0x8ec7f7de, 0x5c92ef9c, 0xcc4b49ff,
+    0x2a6041cf, 0xefdc3ac0, 0xafacc769, 0x521782e6, 0xe08af737, 0x680591ee, 0xd0d37972, 0x2a089865,
+    0x86404d32, 0xf01b0bdc, 0x8c675ff5, 0x41f7b14a, 0xccdafbf4, 0x5a2975ea, 0xe6b2b811, 0x5eda780f,
+    0x06576a09, 0x87dc3a39, 0x1c2e2a83, 0x0611943c, 0x9e8c7ceb, 0xf77f8d15, 0x5afd06e8, 0x78a71af6,
+    0x4ec65fad, 0xda3c4ddc, 0x8940301c, 0x9ab385ec, 0x4bb9d40b, 0x8766bb81, 0x33ff5c28, 0x36f27fba,
+    0xd99b1872, 0xfad98baa, 0x7b6b8a0a, 0x0fe78cf0, 0x171b1155, 0x030f9927, 0x308a674c, 0x90d233e1,
+    0x3755449f, 0xef6ce246, 0xbe2b0232, 0x6d9cc02b, 0xdc890ca7, 0xee1f4ea4, 0xbc4a5c19, 0x6f53931b,
+    0xaf121297, 0x617654d8, 0xdb5b5da0, 0x55c7d60e, 0xfc67007f, 0x7cd99c8f, 0x12b5dd72, 0xf4a7f73b,
+    0x54aa1299, 0x69e518a0, 0xf6eecfdf, 0x788f2530, 0x37162c1b, 0x8825560b, 0xb3865075, 0x90aa1bbb,
+    0x2f229d79, 0x15abac5d, 0x2c1f675d, 0x7ef19bcc, 0xe8499f8d, 0x4ef59468, 0x87d31106, 0xdf018e2a,
+    0x1142ed1e, 0x76e21222, 0x0b464d8f, 0x53d2b914, 0xc6fb06f7, 0x060fac03, 0x12ce983d, 0x3cf0de95,
+    0xd86ca494, 0xc44435ef, 0xef323388, 0x5ed9982f, 0x6e61be9d, 0x6633ea55, 0xf42ad856, 0x1aae611d,
+    0x87fcf06e, 0x77d6e9ba, 0xe20dcaa0, 0xd995f571, 0x37d6d43c, 0xdc32e3a3, 0x7079f776, 0x6f261f56,
+    0x523185ef, 0x736c5564, 0x0618a9d5, 0xe64a6265, 0x814e831b, 0x67fba983, 0xe83e9721, 0xb65b1911,
+    0x316ff4c7, 0x83f7c6e2, 0xb6bed202, 0x6746936d, 0xf37b906c, 0x87d35c91, 0xb3d51093, 0xb9c10749,
+    0x19324d27, 0xb271e1c8, 0xf3f18584, 0x3deb69ad, 0x7b59dd72, 0xd997ff41, 0xdc18b973, 0x9fbe6af6,
+    0xd86285f5, 0x4522a973, 0xcb37269d, 0x2a66a333, 0x3518a58b, 0xc4a0f375, 0x6211a125, 0x238bebbc,
+    0x1f09c367, 0x4cb07c05, 0x5d8ba386, 0xe66138eb, 0x75e56b58, 0x69a0bb39, 0x044d1b70, 0x6f6f33e3,
+    0xcf373bfc, 0xef5fb59e, 0xec5cd493, 0x9e008c3d, 0x4e16b495, 0x334b3b45, 0xd1f3cd1a, 0xa7b3014a,
+    0xddaa438b, 0x6d3cf9e6, 0xee9c5b56, 0xee61980d, 0xa84f4a6d, 0x4a173ceb, 0xff99cc87, 0x042e3d5a,
+    0x820f1313, 0x05755e05, 0x1ccc1b2e, 0xa35f1cdf, 0x2d056002, 0xa7b9d6ed, 0xf31a3673, 0xf7a57a45,
+    0xcb2cf6df, 0x8f1c1a06, 0xf29ffc92, 0xee178d71, 0xf78936a3, 0x9ba10e92, 0x35a8c607, 0xc783ff22,
+    0xce8f8e01, 0x1d6532ea, 0x4dd96135, 0x2b4e8e1e, 0xd239150f, 0x863d5aa2, 0x45ced353, 0x659f7603,
+    0x86e59e96, 0xe9e3833a, 0xf8a35f57, 0x6ead78cc, 0x4d2d9faa, 0x23246695, 0xa4b3636a, 0x68bb5ac0,
+    0x570bcae9, 0x7a38c859, 0xa76db96c, 0x297f410a, 0xf0ac0e5d, 0x01eca3ec, 0xafc3a841, 0xee46df06,
+    0xa0fa4c2a, 0xecbf9135, 0x3c404ffe, 0x49c24d4b, 0x8e9b78aa, 0x2ceaab29, 0xa4249a16, 0x6d61afbe,
+    0x997dcd55, 0x6c637837, 0xc6def782, 0xdb306f6d, 0x6d40916a, 0x17c5014c, 0x60f54029, 0xf3ae81d1,
+    0x533472df, 0xe51513c9, 0xea9d7b7c, 0x2cbd95a6, 0x170756de, 0x3eedb730, 0x0833a515, 0x5c42f4a5,
+    0x5fd08e61, 0x7a3c079a, 0x7ad6bceb, 0x6c094fe3, 0x8ca36d43, 0x47a4bb9a, 0x10d8af25, 0x58112027,
+    0x04b1d806, 0x502d45a2, 0xec595d1a, 0xae68d884, 0xb72b4361, 0x90fb7ff2, 0xf0d6ab72, 0xefcc5475,
+    0x32e1082f, 0xab41bcc9, 0x4044177c, 0xef7b9f68, 0xf029871a, 0xb0cfad45, 0x85560662, 0xbbfa38da,
+    0xa0a05e4a, 0x608d6d94, 0x4435da26, 0xff32f114, 0x60b424a1, 0xecd27334, 0xb10187fd, 0xbbc14af5,
+    0x91d0810c, 0x962ec65e, 0x8c2c4423, 0x9ec4ab2a, 0x8175d2ff, 0xe015229f, 0x64a02197, 0x1d9061cd,
+    0x87071bf2, 0x4c958a13, 0xa8c465bd, 0x9605bb20, 0xe7b93040, 0xc8e05e93, 0x098da1f7, 0xe6f0a84e,
+    0x4e4e1228, 0x2a1a6cb6, 0x24449918, 0xb897d1b9, 0x3b94153c, 0x9c4cc9ba, 0xad10a803, 0x431136e2,
+    0x6426227f, 0x37d285e6, 0xd13bba2f, 0x6ed104de, 0xbd5a6be0, 0x4988c842, 0x47a88df7, 0x4c30b0c1,
+    0x92091f26, 0x11938411, 0xc60de8d5, 0xe5d0bfbb, 0xaf5697cf, 0xb53b85d6, 0x6ff1cf5a, 0x8117b3f4,
+    0xc9be6193, 0x2458fbe5, 0xa65be728, 0xc19d4e65, 0x1ae95135, 0x0396ea8f, 0xa107e8fa, 0xd1be6ba5,
+    0xc46de6e2, 0x067e736c, 0x762955cc, 0xfc2f9047, 0xb0e8932a, 0x3c3eeb46, 0x1e0e8b3d, 0x820238ee,
+    0x2b6cca18, 0xddeda58b, 0x5ed50e97, 0x49fe2d5c, 0xe35a257f, 0x110f6b41, 0x14dbe180, 0xbfe474eb,
+    0xe78f12c2, 0xa7cbb9b3, 0x70662558, 0xbae8dca7, 0xc54950e3, 0xb815f3ca, 0x34ecea4b, 0x65e2344c,
+    0x928a9bf4, 0xca7804fa, 0x82a72e57, 0x17b40966, 0x29e0d47b, 0x92d1f2d0, 0xbb452ddb, 0xd7ac8ce2,
+    0x6efa7657, 0x09d0d72b, 0x9f23776a, 0xef511c00, 0xe58ebfa2, 0xdeb2e18a, 0xede6a86f, 0xaae4233b,
+    0x7b509d2e, 0x4a139f8b, 0x5d7bb95a, 0x29ab3d67, 0xa9e8f5ac, 0x1bb07ca6, 0xf909bdaa, 0xda943938,
+    0xf2ce0e71, 0x0865b6da, 0xdd49569c, 0xfd8ad04c, 0x5a48218e, 0xcbae96e8, 0xa815f137, 0x0b37acab,
+    0x4a5106c1, 0xcdceb736, 0x297a36f0, 0x7fa5b4ec, 0xb957f372, 0xc24ea08d, 0x89391fc0, 0x52be699c,
+    0xca148f13, 0x66b61cf7, 0x0162b531, 0xa5e12088, 0xe8f0b22a, 0xc2fc3c90, 0xce6175f8, 0x4cb0f9e3,
+    0x8ed84773, 0x20a93242, 0x2bf6eebe, 0x444cb365, 0x1d662c9e, 0x8786b177, 0xdd90c1e3, 0xad728dcb,
+    0x5aeaa341, 0x69e1af37, 0xe673ef68, 0x06657fb5, 0x5aafde83, 0xeaf3c2d0, 0xf3d78fae, 0xe7ecb640,
+    0x8783ee9c, 0x0fe94891, 0xbe38ec39, 0xc15bcf71, 0xe6c70b57, 0x583b1624, 0xa6eb883a, 0x2c6c06b9,
+    0x2c5b9ec7, 0x81969e36, 0x61cd4a19, 0x736a4ccc, 0xf530eb80, 0xa66a7678, 0xc8550ce9, 0x173d125a,
+    0x782078cb, 0xf237e15f, 0x94653468, 0xc88f9586, 0xa2c32a9b, 0xc8e2e738, 0x69f148d7, 0x3813952e,
+    0x3d30d069, 0x31f3735f, 0x19bb51c3, 0xd45ddeea, 0x8da4b21a, 0x491b9187, 0x8be3c429, 0x779fbf39,
+    0x66495630, 0xc4d858a6, 0x5fe1ad97, 0x30a8899f, 0x076c7de8, 0xc52a67cb, 0x95edbd78, 0x5e99b824,
+    0xaa94e910, 0x05a00585, 0x259e6035, 0x03ca736f, 0xd08699bb, 0xd175e3bf, 0x6cf18e76, 0x09cb1fdf,
+    0x57ff2d69, 0x2adb0de9, 0x59aaa020, 0xb05810ac, 0x5094faa6, 0x6617fa40, 0x8186f458, 0x70e07fce,
+    0xa9473c3f, 0xe319899e, 0xbaee9c1e, 0xfc02a69e, 0x03821e01, 0xa7f68b4f, 0x989f7f3f, 0xff78a3cd,
+    0xadc9fe5f, 0x52dd21e8, 0xbc4e0571, 0x2406c150, 0xfa93fc36, 0x6d9d3916, 0xf8c92069, 0xee275f3f,
+    0xf1a89e6f, 0xa81e6728, 0x58de15ce, 0xb5c9ba48, 0x8c197fe0, 0x892da8d6, 0x3f44646c, 0x0d5f210b,
+    0xed7c5b4e, 0xa5362638, 0x72a200d3, 0x3004b50c, 0xe271b986, 0xa3caf02f, 0xe45319bd, 0x1efe1bb2,
+    0x1d367c18, 0x8d45f54e, 0x143e783d, 0x53e3c977, 0xa10567c2, 0xe3b665b3, 0x5f512679, 0xe80fa76b,
+    0xc2ca7a2d, 0x7b77397b, 0x3ce36900, 0xf616f255, 0x526f9068, 0x56082402, 0x5d6fb2b6, 0xd7eb707b,
+    0xea71f693, 0x74b3d813, 0xfcec9196, 0xff3f013c, 0x5c75fa5c, 0xc60fd2d2, 0xa4e8ecee, 0xf2f19a32,
+    0xf30390af, 0x9ba0c9f7, 0x951d27e0, 0xa7934593, 0x0ea86bee, 0x7231c191, 0xe35ac5cd, 0xc5d39e33,
+    0x0eadff85, 0x1c322cd1, 0xccdff2cb, 0x4867654d, 0x2ae86804, 0x74cf5864, 0x72cb4ab5, 0xc738165f,
+    0x2757ff43, 0xa6e39144, 0xc4f8d18b, 0x1d720242, 0xbb680663, 0x9df2fbaf, 0xaab32817, 0x9fe06d4d,
+    0x8e9d3a85, 0x20309d37, 0x9782fed4, 0x68e717eb, 0x9053d834, 0x5cc6d7f2, 0xe9d6918d, 0x56aab7ad,
+    0x2abfbefa, 0x7c444350, 0xc22010f3, 0x87ee15ce, 0x5a5172ae, 0xc0be869b, 0xf217085f, 0xc4aec572,
+    0x49e0b90d, 0x3f3fc92e, 0xd6d5f8d4, 0x7b300557, 0x3646c045, 0xba01f42d, 0xbf0ed202, 0x7a3835b1,
+    0x20fbf0d5, 0x97687899, 0xcef55326, 0x374593de, 0x603977d8, 0xa8615b82, 0x47addfbb, 0x79e5dce7,
+    0x798992d6, 0x64f2d0c7, 0xd2e2e9e4, 0x64176d36, 0x334ffcbb, 0xaef01e36, 0x88c22e8d, 0xf4e8f242,
+    0x4e65ae3e, 0xac6501cc, 0x46d42d61, 0x175715cd, 0x15869547, 0xe82d94fc, 0x238de90d, 0x37fbe7f1,
+    0x0794be2f, 0x2b067f73, 0xead7aaee, 0x6d3ee589, 0x9924ba56, 0x048d49e7, 0x74975454, 0x4f2a860b,
+    0xdffa356a, 0xfacc075c, 0x9ab4790e, 0xbf25554d, 0x36ccb1c0, 0x26ff4a88, 0x49935193, 0x5d10aa6a,
+    0xa1692ce2, 0x131a1164, 0x28b01ac2, 0xcadcd64e, 0x8436c53a, 0x32bcdf62, 0x0e96fe76, 0x5a03fd12,
+    0xf2ddcf03, 0x551a9feb, 0x5090e128, 0xf88e0224, 0x898a57e0, 0xf6e67a7e, 0xd7549cd2, 0x85faa9ca,
+    0x3d427304, 0x0cb16011, 0x085bb286, 0xb627b072, 0x4012f654, 0x82fd0cd7, 0xaff62417, 0x1c9da73d,
+    0x8d045719, 0x242ed6aa, 0x3a67d424, 0xb505cde5, 0xa8bc52e1, 0xbd30929c, 0xf2c7dfd9, 0xb54ae31d,
+    0x28b7fe18, 0x4aeea996, 0xa1af170c, 0x6ff300d5, 0x3aa2b045, 0x0e9c5103, 0x10a0ab5c, 0x45f84334,
+    0x16de2d45, 0xf7e2159c, 0x41f1a43d, 0x968fe3da, 0x3b852b7b, 0xa6f2530a, 0xd5be99bd, 0xd02ed5ac,
+    0x00000000 }, /* 10**00000007991676288808940112336888908270505742716411245222326146199441816640951\
+                         65137859998750798362384253944616915694367080095461234681773897801038410285056 */
+  { 0x00000000,
+    0x400001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590105,
+    0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747c, 0x497d56c7, 0x5a17ac28, 0x6bdc900a, 0xcb94a99f, 0xe2c59a9d,
+    0x00000000,
+    0xd7811070, 0xbcf5ca3b, 0xc5abefd5, 0x36dc706d, 0x2331742d, 0x2821f463, 0xb3e544ee, 0x48017df7,
+    0x6964692c, 0x66da17e2, 0x620ed80d, 0x2a3cc997, 0x78b77c2e, 0xd899e3d3, 0x5bfb40f5, 0xe55405ac,
+    0x3ec4de0e, 0xee339eb8, 0xc2d6269b, 0x5d12d41b, 0x064ae953, 0xa8e74e78, 0xfe32d0ef, 0x0e09ef29,
+    0x63fb432e, 0x6bc0dea8, 0xd6d99142, 0xf5d150bc, 0x8383adb8, 0xb36466ff, 0x96afa786, 0x2af034f3,
+    0x8f4b58f2, 0x605d2ba8, 0x356139d5, 0x1fcca3b4, 0xb9473bab, 0x014ef0fc, 0x6fbe3b24, 0xc9c32f1b,
+    0xc702798f, 0x3d65e01e, 0xa68fee16, 0x91e0d42e, 0xc9172940, 0x7b1c8457, 0xf5bdb82d, 0xaee0ca6b,
+    0xcce376a1, 0x413ed67d, 0xbe1f5c2a, 0x297da687, 0x62964a54, 0x7698bfab, 0xc02088f1, 0x7505d90b,
+    0x4ea209e8, 0x22e83f6c, 0xd867035c, 0x1e149103, 0xe00a32a7, 0x9c22c84c, 0xcb0a38f8, 0x6af9d139,
+    0x1a6d2371, 0x755ee076, 0x0aeb6889, 0x4e7e1901, 0xfd1f53cd, 0x2815a58f, 0x11d38740, 0xb06d8cbd,
+    0xb5fc8e28, 0x6bef1e12, 0xf0e165e6, 0xa9ba7c36, 0xffc8743d, 0x4b6b1398, 0x30e34892, 0x505b4dd9,
+    0xec3e9ae3, 0x2be2441a, 0xaca5b157, 0x7988d0e8, 0x25250c44, 0x45580d10, 0x8fba6646, 0xc77cab14,
+    0x5e6cebf4, 0xaaf46de0, 0x48a85c1b, 0x0fffce63, 0x2b40508a, 0xe784af00, 0xc983612c, 0x6c66afcf,
+    0xb27033da, 0x43e73de1, 0x59ef9ef4, 0x816b5efe, 0xb4ba3de0, 0x4e9a1bac, 0x1244be9e, 0x151dcb88,
+    0xb17850c4, 0xb829901d, 0x25718cb7, 0x80ebaa01, 0x243bdccf, 0xffa3b214, 0x1776aebe, 0x6a590716,
+    0x8d83fa73, 0xed3a473f, 0xb75282f4, 0x7d767437, 0x31432e81, 0x9d67934d, 0xf7e688df, 0x1c4c293c,
+    0x040800e9, 0x5ccc4053, 0xacd65917, 0xb671802c, 0x2f8d1475, 0x0d3b173b, 0xf0889a67, 0xfc5f7305,
+    0x0377173a, 0xc076779a, 0x2ff6d89d, 0x449c0d7e, 0xaff71f6f, 0xd601c89b, 0x0b248418, 0x7f52f936,
+    0x7bc900ec, 0xcdf0784c, 0x15b0e8e9, 0xd9c49ac5, 0xe29df20f, 0x8595268f, 0xca279184, 0xd191f135,
+    0xba105194, 0xf8114025, 0x551163c9, 0x00d4534e, 0x6557b2ee, 0x50822d55, 0xfebf80b4, 0xf2e819d1,
+    0xef034af6, 0x05053bf2, 0x412b98da, 0x8862417f, 0x343de418, 0xb97ca76c, 0x3f4fabef, 0xe13d4062,
+    0x0eda0777, 0xcf58a2ee, 0x08ea73d6, 0x639a1900, 0x811f3500, 0xecb5ece4, 0xa140fd39, 0x390b48d7,
+    0x3d2b3ab3, 0xe15bc49d, 0x9d307cb4, 0xe8b131f1, 0xe0ad7a84, 0x58677412, 0x8744c6ea, 0x6feacf7e,
+    0x96dd928f, 0xd2cfa180, 0x7c229ce4, 0x59e696c1, 0xdb31961b, 0x37c63a63, 0x2c91b018, 0x080c4662,
+    0xd2a9aa2e, 0xe950cbb7, 0x89040efd, 0x59e8448d, 0x9c45e6b6, 0x22d90de0, 0xc695cdda, 0x228647d3,
+    0xd7a585e2, 0x9efb5670, 0xfc01198f, 0x9005c7c1, 0xab249a80, 0xe5130f62, 0xca66bd5a, 0xd0897525,
+    0x7ee0c427, 0x54cceb4d, 0x6b4a7894, 0x8c822b62, 0x40416990, 0x336c8416, 0x474392c9, 0x0ede17b0,
+    0x352abe9a, 0xe60b0ea6, 0xe57574bf, 0x0abe2c60, 0xec1d1fc5, 0x2b6a6ead, 0x55f4b37b, 0xb26488ce,
+    0x197526cc, 0x3d2fa059, 0xe9b4f65c, 0xb379392e, 0x44f9b62b, 0x7004fc1c, 0x960924a5, 0x69de047f,
+    0x95b01825, 0xc883f349, 0xb07b24b2, 0x79bf03b0, 0x7b5e70ae, 0xe4f93d8b, 0x8ec045ff, 0xb2b28b01,
+    0xec45e58c, 0xda6c8f0b, 0xe5e163aa, 0xcac9a00c, 0xc4972c3c, 0x6e3d21c8, 0x20a17024, 0x19be8067,
+    0xc8ad7243, 0xe264c52f, 0xf6e6c9cc, 0xde6e7b70, 0x6a951383, 0x08fbd074, 0x988de042, 0x0b0dbcf4,
+    0x949a7202, 0x8b7f7563, 0x2a70131c, 0xfccef48a, 0xda02792c, 0x11ecc280, 0x9d9a9f13, 0x9d3aa41d,
+    0x44818c16, 0x5d767bbe, 0xf466f8f3, 0x195cecb4, 0x58eb67cb, 0x2a02bd7b, 0x11084546, 0x776993b7,
+    0xf1957905, 0x9629a18c, 0x6a4afe8d, 0xf7053c2d, 0xa349ebdf, 0x4d5e5e31, 0x18e2ef24, 0x0e51cb2d,
+    0x910e782e, 0x06ac7c67, 0x489a2f08, 0x910880a0, 0x9f0f1253, 0x0fe196b0, 0x88de0c08, 0xe32c2102,
+    0x3633f363, 0x1cf79bef, 0x47caeff4, 0x0733d333, 0xaf984ae1, 0xa83df2fb, 0x60ecf607, 0x3448cabc,
+    0x86e6aca9, 0x9e47bd17, 0x374d6aca, 0xf0203d49, 0xc84797f2, 0x017f2976, 0x84670da5, 0xf86e5339,
+    0xa33d3657, 0x1579d413, 0x9e518cc5, 0x4bf25a4e, 0x27375791, 0x10cd1bf8, 0xd81d5eb6, 0x7a2b1804,
+    0xd75709ba, 0x9d863664, 0x713063f8, 0xf65e2521, 0x6e50e2c3, 0x7ff17da0, 0xc957f0fe, 0xcb8feeb5,
+    0x0cf5e450, 0x8aa0ffcd, 0x37210819, 0x8cd65d96, 0xbe5dcae3, 0xea6c532c, 0xcb922e8f, 0x56807c9e,
+    0x1b944a4e, 0x871d39b9, 0x118d8419, 0x3b4cafec, 0x50a29528, 0xf9fa13bd, 0xe69b5677, 0xd1aa4228,
+    0x8a215289, 0xc0361067, 0xf0b2374b, 0x0db251fe, 0x33b3aef0, 0x8bfbce10, 0x25fc69ff, 0xb07fc162,
+    0x936d0c5c, 0x1a727d53, 0x0b6c6989, 0xa356d473, 0x875a4567, 0x1cc04e06, 0x55578f3c, 0x06e34b1e,
+    0x07069a4a, 0x042e3d72, 0x36f58000, 0x47e36af6, 0xc4bb41bb, 0x95a47d3f, 0x30556af6, 0x6a85fcd1,
+    0x29b2e888, 0x4e751139, 0x538395cc, 0x52064da4, 0x41f7bde5, 0xf61e9018, 0x3330c5ca, 0x2290cd4d,
+    0x3fccb8c2, 0x8c71bfe5, 0x4f6bfc4a, 0x5c484929, 0xef46b2cb, 0x3f91d758, 0xd2eccf68, 0xf00cb81d,
+    0x02d3b726, 0xad36fcb9, 0x4d5fa164, 0xe7799622, 0xb6ab0b70, 0xa4a3d88c, 0xc4138fb7, 0x33f82631,
+    0xe8b9f7a0, 0xbead6319, 0xd521a4f9, 0x5123a9f3, 0x737b37f4, 0xa38e0019, 0x85dd4476, 0xafa0ec80,
+    0xdf597206, 0x89776099, 0x1c888b9a, 0xa0a8de3d, 0x307fed49, 0x96f68f32, 0x41a0253f, 0x5b192655,
+    0x8945f818, 0x34f9c73f, 0x8ef1d43b, 0x4fcbdc4c, 0x94ee72ff, 0x1bbe7e46, 0x69470882, 0x402d2a85,
+    0xde3a7cf1, 0x1bd47878, 0xf78a8832, 0x90566ff8, 0x7a9471a1, 0x7d2d613c, 0xf8b38336, 0x0d39f324,
+    0xe52e4400, 0x6be46547, 0xaeb1e305, 0xdd5e679c, 0xab7a175d, 0xc98d75c6, 0x01a168d2, 0xc38f9bc8,
+    0xcf28a438, 0xe75dde20, 0xa2709a1b, 0xa1caa478, 0x8c7ce23a, 0x87188126, 0x59a06e8e, 0x73a3eb98,
+    0x046c08b3, 0x5cf26c12, 0x2ced47fb, 0x04abeefb, 0xc2fcb72a, 0x0b2fb93f, 0xbc2ffc92, 0xe37db0a4,
+    0xcc981af3, 0xcf406f53, 0x24083654, 0x2b5c2a19, 0x9a7d4094, 0xec0cba38, 0xaa7959cb, 0xf9436f16,
+    0x87e015bb, 0x53e4957f, 0xe2cc8aed, 0x3deb6d31, 0xde7dbd81, 0xc1735881, 0xf89a0315, 0xb67fc206,
+    0xd1fa277d, 0xa54f8023, 0xe1cf8f00, 0x2eda7a89, 0x263213a4, 0x451d0bd9, 0x3b7af650, 0xf606958a,
+    0xaa42eaf7, 0xe309a202, 0xfeaaf28a, 0x79f0e0fd, 0x81c52873, 0x007afcd5, 0xc7b40f5d, 0x40d9dd91,
+    0x4a4ba58b, 0x5d986492, 0xa0389fbe, 0x1bb4668b, 0x1b6c373d, 0x25cf5c99, 0x3f9b2037, 0x5e695346,
+    0x7147e1b9, 0x01fb1001, 0xa2dce5ce, 0x9cfd017e, 0xc3fc06d0, 0x4a722d88, 0xc8ab0997, 0xfedd3167,
+    0x029344a9, 0xeb1de453, 0x5061fcff, 0x5c87abf1, 0x0325b507, 0x4f6eb86c, 0x8427e064, 0x98706060,
+    0x69dc62ca, 0x34a2f7f6, 0xfcd7f7dc, 0x60bde976, 0xa270160e, 0x85a6be97, 0x5c1bb707, 0xb5b94dcc,
+    0xa6e88859, 0x5e77bdd9, 0x8f888222, 0xd8692d96, 0xf64e82a0, 0x4f0dd27a, 0xd0cf41d5, 0xaf42b1f1,
+    0x93cde016, 0xa5a4e69f, 0x6d48c71c, 0x03dae3c1, 0x3c56a344, 0x64061749, 0xf396a13f, 0x62126986,
+    0xc06307ad, 0x5d6e6edb, 0x2ad5b100, 0xd4f95ad9, 0x007a3ec5, 0x84f63dac, 0x57dc51ed, 0xf8152ab0,
+    0xd546e9a1, 0xb4ea5e05, 0x1948d8e4, 0xeb4659ac, 0x9f9d1b76, 0x7446e98d, 0x3db73141, 0xed8ba9e4,
+    0xab667a62, 0xf0a6720b, 0x9af4eac2, 0x5a9a70f5, 0xd21dda4b, 0x426caf81, 0xbf245496, 0x94b8d2ec,
+    0x388d5b22, 0x0a2fa968, 0x2965d5d4, 0x315afcc3, 0xcf8f828b, 0x439b3239, 0x590fdf0f, 0x3aeff36a,
+    0x7c091416, 0xa2aefb64, 0x24492048, 0x0234ad0d, 0xd77be93c, 0x8a9b34e6, 0xdc5854a3, 0x2357d275,
+    0x0e11f117, 0x43a1ec0a, 0x59eabe80, 0xd9cbef7d, 0x26498a3e, 0xeb7679fc, 0x3d545d97, 0xe64311f7,
+    0x3b90a5f9, 0xbdbe0aa2, 0x850290fb, 0xd2761183, 0x5293370c, 0xd2143c30, 0xb4251d66, 0x336e7d6f,
+    0x3fb66745, 0xf532f012, 0xa9169242, 0xd0007675, 0x793607c2, 0x11a7251b, 0x8eb6596e, 0xc2e62422,
+    0x12bc5e34, 0xddd4831e, 0x556b7338, 0x8cf347f4, 0xa410f545, 0xbe8e9aaa, 0xd637a3fc, 0x3b746380,
+    0x28173171, 0xd0df4aaa, 0x22e8f96e, 0x1a9924b3, 0xf8eefaf4, 0xf8f67fa5, 0xca9f1f03, 0x345a0a7f,
+    0x0c3d2cb4, 0xf773c05a, 0x03bcb0d9, 0x16383803, 0x9dafead1, 0x1d935dba, 0x83439fa4, 0xf141e3e3,
+    0x635de3e6, 0x8e527dfd, 0xf62e0946, 0xaccf923b, 0x6efd6c5e, 0xdac362db, 0x33f03d8c, 0xf682b1d6,
+    0xcba11772, 0xaf34126e, 0xf120629c, 0xbf58645d, 0xa0f61926, 0x425789fe, 0x84f70c4c, 0xa21bf5fe,
+    0xa7e88edf, 0x618f2787, 0x6f02085d, 0x82eb6a16, 0x6cbca6b1, 0x0e4f2c78, 0x6505417a, 0x3e26c9cf,
+    0xe09a2b6c, 0x37d66041, 0x1199696d, 0xf8152eaa, 0x359c0ed4, 0xf41dbe44, 0xaa08cf8e, 0xb053bdc7,
+    0xc843b796, 0x24d49715, 0x97443e72, 0xb89fe180, 0x55e1288f, 0x1d28af8c, 0x4ca02d91, 0x388e7069,
+    0x5ed23fac, 0xb4b9b327, 0x7d548374, 0x9a8fc3c6, 0x2cf19510, 0x9e2015c3, 0x959d391e, 0x3e7a1a24,
+    0x240cb92d, 0x3a66a7d0, 0xb33fcf2f, 0xec8bb4fb, 0x4bb587a3, 0x5940fecb, 0x872bb758, 0x6e069611,
+    0xaae22cd7, 0x20547aa2, 0xe4f0a709, 0xac25b677, 0x892ad9e9, 0x75d898c8, 0x04ff53a5, 0x51888b8b,
+    0xb35ab3e7, 0x515d904b, 0x8f57360c, 0x653c58f4, 0xe8edeb23, 0x4448a9b1, 0x54041a6a, 0xe510dd98,
+    0x460add39, 0x482e97aa, 0x1567bce4, 0x63ac8819, 0xbbd8217f, 0xd8787161, 0x3fa13e19, 0xa5fd1edd,
+    0x3ea965b0, 0xc43466b2, 0x96d2739b, 0xc26939cf, 0xd7d2db0c, 0x22ba00cf, 0xcd757708, 0xb59f2946,
+    0xcf8f6141, 0xc9a72262, 0x9147437c, 0xe52a7706, 0x84effd85, 0xeda6e670, 0x7d0a8bef, 0x091967f8,
+    0x885595a9, 0x6686525f, 0xe7591fd3, 0x9725c5e3, 0x0403b325, 0xb5844474, 0x85fdb231, 0xdb426917,
+    0xf497fe5c, 0x4d5b6144, 0xfe2be7c2, 0x43e2c080, 0x4817faaa, 0xd83186c5, 0x1e8bbb3c, 0xae1ee749,
+    0xf708b52a, 0x2cd70ba6, 0xe2542dba, 0x1f25a44e, 0x21aa0930, 0x94bfd65f, 0x03d8cc1c, 0x15506593,
+    0xabf5f6d4, 0xde91bb9d, 0xccee11cf, 0xcc6bb4a0, 0x5ec145bb, 0xa9367694, 0x9eba9f86, 0x6cd6ac1e,
+    0x15fd19e2, 0x69210583, 0x22172628, 0x6be1f94f, 0x7c451916, 0xd4ca1c57, 0xbb0cd45d, 0xf2e82618,
+    0x5f67b215, 0x27304a23, 0xb06ec08e, 0xbe361920, 0x61b91e23, 0x78c0c48c, 0x3f1476b1, 0x04fb9d0c,
+    0xec9f60b8, 0x119b1fef, 0xddb05f1d, 0x65b2931b, 0x81119fc8, 0x04a43394, 0xe1110a8b, 0x2ef6697f,
+    0xaa00a317, 0x92c8f082, 0x0818f5d2, 0x87050a8c, 0xc35956c7, 0xc3cef3ac, 0xa5c7d9d4, 0x6637b407,
+    0x2e555674, 0xb583cfc9, 0x643cf9c0, 0x27ef7ee0, 0x533bb58a, 0xe719bca8, 0x3f24f708, 0x45bf9d75,
+    0x84f30dde, 0xd41adffe, 0x40035463, 0x2f2e668d, 0x2ef36c7a, 0xd04b087c, 0xb133f867, 0xbea60b48,
+    0xabf66366, 0xff97f4d3, 0x5cd2e978, 0x5563ec31, 0x4b9dc2f9, 0xd6708d2b, 0x97d23adc, 0x5c7fe4a0,
+    0x7bc825d1, 0x2fd334c6, 0x01ab794a, 0xb7b9347e, 0x12f99aa9, 0x9bcd6268, 0x08ac9202, 0x9ffa2321,
+    0xc06cf1d2, 0xce7ea436, 0x10508ddc, 0x3a161054, 0x804a3692, 0x94acfe29, 0x7797a7b3, 0xf5ea5ba2,
+    0xf030895c, 0x9766d156, 0x3641b97e, 0xca778abc, 0x56cc2547, 0x83a34846, 0xb5130e8e, 0x2433df97,
+    0xfec5716a, 0x97f8bc32, 0x5bc2975c, 0x64c72fb6, 0x3bac5a6e, 0xa371bbe5, 0x50ac6a40, 0xd58939d2,
+    0xf98f945b, 0xbf9b27b6, 0xe0aa7b31, 0x37c3cff5, 0x06d983c9, 0x74a37e40, 0x8888ac3b, 0xb4d03ff3,
+    0x82d9343c, 0xd3f92863, 0x8640b968, 0x04532882, 0x53e0c217, 0xadcae29f, 0x762884fc, 0xc3590263,
+    0xb8830017, 0x8ee80695, 0xad3266c2, 0x143e2f38, 0x8b37027d, 0x9ca6ec6b, 0x133822ab, 0x2c2b03ed,
+    0x8047a9f2, 0xc8510f7b, 0x551e106b, 0x6423fd8c, 0x84cfb30a, 0x466c8df0, 0xc5a582fe, 0x97d9cacd,
+    0xcebc6731, 0x02221fda, 0x0e5b8d40, 0xeb0f60e2, 0x7e5a5353, 0x7f7bc45d, 0x57089774, 0xf8d8a34a,
+    0x5fcd8588, 0x787f948d, 0x4e1399c3, 0x27e4096f, 0x2fbe15ed, 0xe31431c5, 0x35ad974e, 0xb2f40753,
+    0x3d2ca6e6, 0xa3f1d30a, 0x3ecae332, 0xe858ca4d, 0x9ecd039d, 0x311bd67e, 0xc5393c16, 0x4780d979,
+    0xcd229f37, 0xf2708903, 0x39fea8f8, 0x363c5605, 0xd5c1bbc1, 0xbc48ecee, 0x2ddbe564, 0xfb99325f,
+    0x9eb4cb39, 0x72ea4fde, 0x92b45465, 0xd8577c8f, 0xc0851e1e, 0xb3654cda, 0x8944aaed, 0x4110eb54,
+    0x3a83b748, 0xdbd7e5c1, 0x8b0592c7, 0xe6d2c2ad, 0xcf98475d, 0x8e69c176, 0x56346834, 0x41939ea7,
+    0xce2f71fa, 0x2f59690c, 0x9faaadcd, 0x041b7dc1, 0x071fddb6, 0xc5e9c86b, 0x1c8470ee, 0x69dc9d0f,
+    0xf2cc4aff, 0x6fdb628e, 0x5d9e0446, 0x3fe6fd0c, 0x26f92850, 0xe35b9509, 0xf6359354, 0x6116cf2e,
+    0x6d3bd78d, 0xe637ac8c, 0xb8fc6027, 0xb4d12f63, 0x3981ac1f, 0x8ba28727, 0x59834db8, 0x1a5a4f08,
+    0x67d82f73, 0xb9c42589, 0xaba4d2d0, 0x144c7582, 0x3721b5ba, 0xe450d697, 0x08adeb71, 0x7d02d460,
+    0xbd6b4da1, 0x0a1c39bf, 0xcf5b07a5, 0xfe7a50ff, 0x3568a19b, 0xf2c27421, 0x77dfc9e7, 0x976200db,
+    0xe0b3ed6a, 0x15da7613, 0x374db891, 0x51425a99, 0x36981a1f, 0xf2f6f07f, 0x7ffeba59, 0x0c8e1e32,
+    0x554190e8, 0xe5978ad0, 0x91083580, 0xaea0de25, 0x3a63cef8, 0xa8adeeea, 0x13d9c2ed, 0xdcc3335f,
+    0x02ad03c9, 0x5ab6c889, 0xe567b3a2, 0x40caca1a, 0x67fde612, 0xfaee5b95, 0x9d1c51a9, 0xbfd2443e,
+    0x7545a60c, 0x310dc7bb, 0x6c1fa404, 0xf682da52, 0x57dee1c3, 0x019556e1, 0x3a3aba4d, 0x0b1c0021,
+    0xd8989892, 0xdd803453, 0xa07baafb, 0xcdd40019, 0x525fed39, 0x372ba468, 0x7ee446bb, 0x9c5f9cfb,
+    0x6c2028f8, 0x9f1e118d, 0x724b910f, 0x997b5bd8, 0x9d01562e, 0x54f709f5, 0x7c991239, 0xbf88dfd8,
+    0x302827cc, 0xbcac90f4, 0x081f2b1d, 0xe56bfef4, 0xaab606bb, 0xb5b5219a, 0x5e66ff15, 0x0d0d388f,
+    0xe1b3d7b6, 0x0bb7392a, 0x0d221d88, 0x42a9c2e0, 0x9d85a232, 0x4443efaa, 0x207b5b94, 0x5f67c10e,
+    0x712050c1, 0x022e6d8d, 0xa00a8600, 0x8a0973f6, 0xa460848d, 0x3f012b74, 0xbdc441bd, 0x83ee6aee,
+    0x00000000 }, /* 10**00000003995838144404470056168444454135252871358205622611163073099720908320475\
+                         82568929999375399181192126972308457847183540047730617340886948900519205142528 */
+  { 0x00000000,
+    0x400000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8082,
+    0xe7859d06, 0x650fde9d, 0xd51f3a3e, 0x24beab63, 0xad0bd614, 0x35ee4805, 0x65ca54cf, 0xf162cd4e,
+    0x00000000,
+    0xa615feb6, 0x6e5b323e, 0xe6fdec8c, 0xd8816263, 0x43ec8705, 0xa734640e, 0x66be690a, 0x9d905e45,
+    0xa95e70a2, 0xb20a20ce, 0x3c416eaf, 0x2fccd547, 0x865fbba1, 0xd76dfde2, 0x67d91570, 0x8467221a,
+    0xb6f56b37, 0xf75291e0, 0xc6a6ac4d, 0x2997f703, 0xc49e7dde, 0x6261b3f3, 0x0403b811, 0x2fa6493d,
+    0xd1474943, 0x439023ae, 0xaae68b8f, 0xbd51b73c, 0x9c3c6f9c, 0x075519cb, 0x06a0989e, 0x2eacf691,
+    0xb76d0e22, 0x6da09c03, 0x99b23b21, 0x5562bf6f, 0x3341dbe6, 0x3911cd3c, 0x755ba330, 0x753662ef,
+    0xbbdfce73, 0xe39dc53c, 0x4f66f066, 0x1ccf54f5, 0xe1d84183, 0xd370ed1f, 0xe9c4ed32, 0x502e47c0,
+    0x4c8fb557, 0x1ca8b90d, 0x01f401b9, 0x85a705ec, 0x8cc94587, 0xc7f9f8a9, 0x8d654f7b, 0xb3b13cfb,
+    0x76d7790f, 0x909ee441, 0x244e9aaa, 0x7d4bcd90, 0x8ca6d3c6, 0x6209f6f6, 0xaf6bf549, 0x57be6294,
+    0xfe7afb63, 0x1abd7548, 0xa94a41f6, 0xa34a93d6, 0x398d6830, 0x3f3e99f5, 0x2b7d57fe, 0x4c0f6c10,
+    0xbbb1dbe3, 0xc2d54b63, 0x68fb6248, 0x7659c00f, 0x161faa5a, 0x10a2942b, 0x12ea7dab, 0x84d6b068,
+    0x777fa8c4, 0x1834ea8c, 0x7c43fe1f, 0xf360b549, 0xa562ea86, 0xa7af3d59, 0x81a01b73, 0xe6146f33,
+    0x5add3844, 0x4e9c9eab, 0x907acc4a, 0xb7759113, 0x2b9b85ea, 0x3c28b087, 0x33f3a125, 0x41b3c85b,
+    0x2f1c77a3, 0x80e9b085, 0xe407f93e, 0xd2c8e645, 0x4e62a5fc, 0xbcedc809, 0x59c98cf3, 0xa4370753,
+    0x3cced176, 0x2ee266bb, 0x2b604fd7, 0xf442b34d, 0xc1493698, 0xbd25bfd5, 0xa4908b73, 0x519510d8,
+    0x58d0ec8c, 0x2dd72b83, 0xc56702d4, 0x76009ffa, 0xf8a5d890, 0xb2e4e43d, 0xfe07b582, 0x9c2ac4bd,
+    0x85610c5a, 0x01dae1e1, 0xbd01746b, 0xed244a91, 0x1a4ea077, 0x6167c0e9, 0x75594e7f, 0x20cceb8d,
+    0x231af102, 0x8821266e, 0x1ed5eece, 0x7444d80d, 0xc3e3e6b7, 0x1b6d3bd0, 0x8bfb2ac3, 0xae319e5e,
+    0x300dd4be, 0xfd31a57c, 0xc497bd94, 0xfa04fb91, 0x6e2fd541, 0x056ed034, 0x7ba9756f, 0x930c8fc6,
+    0xe7efed9c, 0x47d2f926, 0xc5c7f801, 0xa75977c6, 0x1a4f3562, 0xd9ea5a4a, 0xe260844f, 0xbf89e538,
+    0xa84dcfa8, 0xabb5c6d0, 0x280539eb, 0x4cfb7463, 0xf9192706, 0x6c98c6e3, 0xb66153ec, 0x7e98b237,
+    0x0db7b131, 0x0ea7b439, 0x579f3626, 0xb20d3d94, 0x79896c43, 0x006026df, 0xb164a60a, 0xff2924c8,
+    0x04378c90, 0xe1e82559, 0xa623c488, 0xf0877521, 0x473db9c8, 0x2b84fc72, 0x27dca94d, 0xcb622f1d,
+    0xcdfeeee1, 0xbce39cf7, 0xcb299423, 0xe794c36b, 0xba92e095, 0x65e91869, 0x43270367, 0x9285db14,
+    0x72870076, 0x32b8189f, 0x32c23b05, 0x9e1646d2, 0x8c87c227, 0x4563a124, 0x7176d59d, 0x1d6d8c48,
+    0xf69ac277, 0x5c608373, 0x153cef10, 0xd1a59ea4, 0x6a079bd4, 0x437a7fa8, 0x0105ba27, 0xcadc6e29,
+    0xc6b94e22, 0x373eb031, 0x2605d523, 0xcd6da791, 0x7819c7a2, 0x083be5d1, 0xa44ce4ad, 0x55f5438d,
+    0xae6b2402, 0x6672a886, 0x9956bac0, 0x0182c442, 0x6ec4f1ee, 0xf1eeb93a, 0xb1511041, 0xd7e23e1f,
+    0x526a20c9, 0x91f5cfbc, 0xc570fdd4, 0xc0d64cf9, 0x1ac65976, 0x4ca1c39b, 0xb28d3c4b, 0x1b561796,
+    0xaa18ee5c, 0x26417695, 0xc0983732, 0x1ccc6f1f, 0xf8cb8db2, 0xb93c41d8, 0x6b2379dc, 0x28573d56,
+    0x0b6ad7cc, 0x8828c2ff, 0x97fab1d1, 0xea7d5ac8, 0x08b3d59c, 0x32052dbb, 0x01ed11dd, 0x58c13cbf,
+    0x3aa9908d, 0x2b580cd8, 0x986b3bdd, 0x1b5e4ac8, 0x5d41ed3c, 0x7d84348c, 0x071473e9, 0x31f14bdc,
+    0x8d3dabfd, 0x7a8f31ee, 0xf5697b67, 0x2a9c8cd8, 0xebabde8c, 0x68605c57, 0x46f88867, 0x2af683cf,
+    0x333b9ca6, 0xf07b598a, 0x894aecc6, 0x4e36684b, 0x83cfa23d, 0x2927dd10, 0xd1cd45aa, 0xb356e6fe,
+    0x5927e31f, 0x78ac9423, 0x26ab1d83, 0x43fcb183, 0x2f6b5f68, 0x43108aea, 0xbc6c2d19, 0x6383c3d7,
+    0x07c7da08, 0xdeb3920b, 0x903c2f8a, 0xe1476717, 0xe3c43fed, 0xea49c1d7, 0x09d4c614, 0xe6d89e8c,
+    0x662db767, 0x4d78a254, 0xb644e2bd, 0x1d87ae53, 0x15f80e80, 0x05465f4c, 0xcd7ae5f1, 0x88b98c2f,
+    0x400f6e2c, 0xdc739205, 0x1d35c8df, 0x554857a4, 0xb4dc7d69, 0x814c881f, 0x878893f7, 0xad523115,
+    0x7a744b76, 0x27e9245c, 0x4061808d, 0x9ec36e07, 0xc2a3038d, 0x0a0c7743, 0x0852551d, 0xeba11040,
+    0xbb128f6f, 0xb7776a7e, 0xf49e6f8b, 0xeda1b13e, 0x3a503cc5, 0x32ef4f6c, 0xacf3d24c, 0xce7b5dc4,
+    0x53601922, 0x2a6b5280, 0x7287a89c, 0x1f276a07, 0x4d628c2d, 0xadfab538, 0xbfa18ddf, 0x4c0b3582,
+    0x3e0ccb86, 0x0a3a6121, 0xdc43490b, 0x90ae3fe3, 0xbc28e652, 0x4d0a213b, 0x0ff1952f, 0xbbcdd264,
+    0x46addd1e, 0xeea45973, 0xf078dfb6, 0x4bdb2b45, 0x6159ae7e, 0xf4093d44, 0xa368a838, 0x3e917b17,
+    0x622d24f9, 0x2e457b60, 0x59e63eca, 0x10078feb, 0x7e0609d7, 0x5558b708, 0x57b64ded, 0x599f0407,
+    0xd05a1113, 0x8ab7e963, 0xc0f0d5f5, 0x70b3f38d, 0xf1cf2c9f, 0xe3490a6b, 0x58037007, 0xdfdea5cc,
+    0x10a39976, 0x420222bb, 0xef3ad416, 0xd6d80331, 0x651de2b1, 0xe7dab647, 0x1785ec1d, 0x7439a624,
+    0xa3345dae, 0xd62a1178, 0x409fd7b2, 0x461349f6, 0x1868b052, 0x63dc330e, 0x14122a31, 0xa0d1c687,
+    0x1f496f69, 0x7354d865, 0xdd54a6bf, 0x74407b53, 0xec915c5f, 0x53026333, 0xb545625f, 0x1e967b3b,
+    0xbc013bbf, 0x244b091e, 0x57417649, 0x3fd6ee20, 0x9fc7c580, 0x57c5235e, 0x9db4ed44, 0x745cac31,
+    0xb79f12d6, 0x706daafc, 0x85b53d92, 0x98e729d8, 0xa94e3fef, 0x14f33986, 0xac573685, 0x76cb0dcc,
+    0x7d66c582, 0xf11fa33d, 0x400d4c17, 0xa1825123, 0x34f685de, 0x1cab3b0f, 0x47f195df, 0xbe562b38,
+    0x2bcf3784, 0xd2f513c8, 0xfdf5433c, 0xeac04ef5, 0x88eac0c7, 0x532d96fd, 0x695cc111, 0x64455123,
+    0x534b1eea, 0xd432fa50, 0x24e1b0a9, 0x8b5d60ad, 0xba40b980, 0xc86fa5a3, 0xe59fd703, 0x9a613e30,
+    0x1f95fb81, 0x8bf74cae, 0x3705c983, 0x564db0fa, 0x2a3c8c86, 0x86a87ff3, 0xf3e5ca9f, 0xc0e15ca9,
+    0x0c732c18, 0xec4e5263, 0x43350a75, 0xeb1e17b9, 0x953aab55, 0xd9050229, 0x33506b78, 0xfe64b2a7,
+    0x5a2bc639, 0x405e76db, 0x7b1316cf, 0x9203595d, 0x0c484cbb, 0xd5e4ff6d, 0xe49defae, 0xd336aed3,
+    0xb36e62ee, 0x78a3c72b, 0x75437997, 0xc66e31a3, 0x3f7c2f00, 0x2c8c51ad, 0xcb4bc655, 0xff6b0ec5,
+    0x5a561827, 0xe4b13a31, 0x344ae746, 0x21f111d5, 0x14e19932, 0xacec18f7, 0xb996e763, 0xe52ca214,
+    0x9c65d0ed, 0xcd6e0c37, 0xf60ace4a, 0xbcac270c, 0x3547355e, 0x51724727, 0x333d6f21, 0x67f24285,
+    0x12bdc6c2, 0xa5701aad, 0xdc6f6942, 0x3121917a, 0xfae21b4a, 0x1467dce8, 0x5eed2454, 0xcbb7519e,
+    0x705f8ce5, 0xfa110490, 0x2f1d54e9, 0xd58b4fc0, 0xd3b25ad3, 0xade83d1d, 0xab848b54, 0x1b73903e,
+    0xe82bb9d4, 0xa5a800fd, 0xabb488e6, 0x55a031ba, 0x7b740ca1, 0x80aa9496, 0x933471b1, 0x5c41234d,
+    0x7ea0f172, 0x682f33d7, 0xfdf66837, 0x51b2f1d4, 0xf856e700, 0x48f43c5f, 0x88db26ed, 0xbd8e35d6,
+    0xf650a2a6, 0xdb5c7e11, 0xa3524682, 0xcd407a75, 0x8306a8e1, 0xd65184b6, 0x1d93401f, 0xfc4a3d47,
+    0x78fad7ec, 0x4fa58710, 0x3d3e8460, 0xfde20bd3, 0xb0206647, 0x4c413a4c, 0xc4c2589a, 0xa8bb90a6,
+    0xdc9f48bb, 0x8b792383, 0x87a51c2d, 0xc5dd9e09, 0x2fc66099, 0x836da452, 0xc17523cc, 0xe31c0fd8,
+    0xa37be7c4, 0xd26a0318, 0x12f65c34, 0xf1fb068c, 0xfb3d95a3, 0x1503db73, 0xfc8e32b7, 0x99accc03,
+    0x0037d1cc, 0x6176025d, 0xafd5475f, 0x0b172a3a, 0x4b7b606a, 0xeb0cea82, 0x27deaba9, 0xe79b2f48,
+    0xe924f594, 0x9f7e1593, 0xbeff8cbf, 0x3a73e1e6, 0x0b018021, 0xf67710d8, 0x8c6cffe5, 0x6db67bcd,
+    0x366acc7b, 0x7da43249, 0x9eac5212, 0xecdc53a0, 0xf53b450c, 0xd27bbfa6, 0xdd2a1dc8, 0x04b8216f,
+    0xf2efe3bf, 0xc22db67f, 0x683fe65a, 0x433978c0, 0x8c58803c, 0x276b7b0e, 0xaa74bbee, 0x10160740,
+    0x86625618, 0x2e481e1a, 0x76a3dee3, 0x4262bfd1, 0x2e8b0c07, 0x7a664847, 0x0048be1b, 0x28044a4d,
+    0x8efbd62b, 0xb90bd51c, 0x2d51814b, 0x3371c33d, 0x00f941da, 0x3f7b6dd7, 0xb9319e30, 0xd05ad19b,
+    0x2cdb2f5e, 0x3c52f0b0, 0x6db51028, 0xf8b04342, 0x01169324, 0x724f9464, 0x582170ff, 0x3bbd28e1,
+    0x4b9abb19, 0x026f0def, 0xdc6b04cb, 0x999286a2, 0xf01f7898, 0xfb77e37d, 0x9c43e3bb, 0x1bbdc8fe,
+    0xd754d959, 0x9e9ade54, 0x56ee116e, 0xf0c680a1, 0x55f4182d, 0x7173b239, 0x61dbbe42, 0xba8f3abd,
+    0x29808aee, 0x8ef979b5, 0x426064e9, 0xd527d18a, 0x77260707, 0x7e9c54d3, 0x6944e9ad, 0x67d59e9b,
+    0xf988af39, 0xd16e38e7, 0x7f4657a2, 0x5b380112, 0xc53379b9, 0x9328581a, 0x9d297824, 0x60fdf07b,
+    0x9c8cabee, 0xf1346631, 0x446ec188, 0x7807ae81, 0x80606882, 0x2d9168b1, 0x84f34299, 0xe775159a,
+    0x9356d9ed, 0x45e734bf, 0xa43a1d4d, 0xfca6ba7a, 0x04a9b5d7, 0x5e74c0d5, 0x626b6008, 0xc2110bf8,
+    0xc4b8dfa5, 0xa1432792, 0x39c73464, 0xfe184ddf, 0xd866e063, 0xa6d528bc, 0x8b2fe470, 0xf10ec7ca,
+    0x45137b08, 0x8c43f4ab, 0x54d21b08, 0xb8430407, 0xb0698687, 0x1d2f5745, 0x6c67fffd, 0x1bc56ee9,
+    0x1ee52909, 0x8542694d, 0x3144e761, 0x67aa80d4, 0x23a67e3d, 0xf44c8b7e, 0xe03f6583, 0x9e13891f,
+    0x04e5ff68, 0xdbd26a28, 0xb7820431, 0x94c56adc, 0xb511fc58, 0x5ee25c6d, 0x415b8981, 0xd45b74c8,
+    0xb3d43fff, 0xa3ed79af, 0x0e01f8d9, 0xfd2eeb65, 0x0f1fd00c, 0xd8ac016e, 0x7094068f, 0x4cfdd8ce,
+    0x76b73f50, 0x56207452, 0x394e9152, 0x85fe981b, 0xee21841e, 0x7a769d21, 0x17321f93, 0x4d4ef12c,
+    0xb2672e67, 0x1d3e70f2, 0x1324c2d4, 0xe6103f04, 0x4efac6bb, 0x4596a5d1, 0x9b7b7dd7, 0x5ec265ed,
+    0x71b0e0de, 0x2b3bc782, 0xab70f4b2, 0x96e65590, 0xe59addd4, 0xf9bd27a0, 0x1cf4c605, 0xb0b6697b,
+    0xd99d5573, 0x01a2135c, 0xe9b71df1, 0x922ac2f3, 0xb2e2cfa7, 0x9559ed76, 0x030f3561, 0x700959d1,
+    0xb463146b, 0x514c2cb1, 0xad4034c1, 0x83e4390c, 0x32662294, 0xb315a988, 0x4bf4c812, 0x23ca0fe5,
+    0x3486b8a5, 0xd6ca617f, 0x02e24066, 0xe7d8660e, 0x6dee8a4b, 0x63eb8848, 0x49fe5f9f, 0x664c768f,
+    0x8b24b71e, 0x3d8a24f7, 0x308cc1a8, 0xa6fb336e, 0x967bdab9, 0x20f3c2c2, 0xc8c5214c, 0x1d9037f0,
+    0xe00fb920, 0xae872765, 0x55ffd201, 0x23987487, 0xe0f6149f, 0xecf820c1, 0xec6e6cce, 0xa0667588,
+    0xfd75061d, 0x19ff1523, 0x123a52a4, 0xb598b968, 0x9dd03168, 0xd695cd16, 0x026cc59f, 0x1b36d860,
+    0xec2b0a95, 0xb9d508a0, 0x9d3dab48, 0x56bc77ca, 0xed0189c6, 0xb73cbc2e, 0xa2d89a10, 0x9c0d9701,
+    0x9ed1b8dc, 0x4b8d2c8c, 0xcd21f4c0, 0x58b2d218, 0x9e160e06, 0xcb649a58, 0x19780a95, 0xe6239592,
+    0xbafe19e3, 0x8d71ebd7, 0x216020d8, 0x7e98565b, 0xc2a120a7, 0x0d7a502c, 0xa3b65e54, 0x5ffe7bfc,
+    0x006378c6, 0x2e404cc8, 0x9f932ba4, 0xfc05ef8a, 0x9df278d7, 0xc0172bdd, 0x8a649a0b, 0x6494487d,
+    0x66d8ed94, 0x953ce5da, 0xb693036f, 0xc42199dd, 0x97d9507f, 0xc67510a2, 0xba6bc6e8, 0x144c2da2,
+    0xab42fd68, 0xfe50bebd, 0xb8a5f2d0, 0xd146dd7a, 0x6e69b85b, 0x57faa87b, 0x561feccc, 0x1ad2c43b,
+    0x2ec4dc1a, 0x231739f5, 0xd29583f4, 0x5a44bbd8, 0x2cc5a523, 0xcb7a921d, 0xcf2f84ca, 0x7ba44ccf,
+    0x2afe0ae0, 0x92a1a096, 0xd0f1b2bc, 0x64b4af5a, 0x18774d7d, 0xfc5bdb4c, 0x40883681, 0xbf55ca00,
+    0x354a257d, 0xb4725958, 0x8df6eb12, 0x32135cbe, 0x00fc4ef1, 0x7d666ff4, 0xa9843f12, 0x7a87eaed,
+    0xf9a74d71, 0xb7303eee, 0x26d4f6f1, 0x61efb512, 0x3eb4a671, 0x285c7607, 0xc4cb875e, 0xd4a6962f,
+    0x4eaebd84, 0xcaa06218, 0x579a0c31, 0x8c3aa48c, 0xe2223398, 0x94d342db, 0x45932f14, 0xd73ada44,
+    0xfd8dca89, 0x3fd341ef, 0x15c824e7, 0xd576b5dc, 0x338e8c16, 0xf85e23e6, 0xf40fd8bc, 0xeae14186,
+    0x64d1a2f2, 0x93507305, 0x680c3d03, 0xef4eda65, 0xb72f8fdd, 0x5b4b97a0, 0x3e0297ec, 0x1852f12c,
+    0x6a4af7cc, 0xca69fb80, 0x5d3bbee9, 0x3049e5a4, 0x65d54bc1, 0x975d0828, 0x62cf09e0, 0x8f0030a9,
+    0xddf4dd7e, 0x13b706ea, 0x0da78caf, 0xef2a1984, 0x5cb05ebd, 0x96535ec5, 0xe26bbb7d, 0x19e344a7,
+    0xd59c3307, 0x95feb9f4, 0xa5fb9d6f, 0x73f05fc9, 0x13e195fb, 0x02d657a4, 0xdc0103eb, 0x60b55a40,
+    0x135ad265, 0x8f0a1ecf, 0x1f48b0e7, 0x78ff608d, 0x7895cd14, 0x14bea3c8, 0xd3f7b2dd, 0x4dbb8a01,
+    0xec726a98, 0xf17efbf3, 0xa4c4879d, 0x9b55a7e0, 0xffcc65f9, 0x66cd3962, 0x53fe19a4, 0x2a2800fa,
+    0xe0d8e8d0, 0x47403728, 0x9615ca0e, 0x30b5d6c2, 0x04b5b7f1, 0x85819060, 0x85ca645e, 0x95da8842,
+    0xfe233514, 0x92a1efa7, 0x3e04b18c, 0xb32321df, 0x8d13c8e1, 0x22909212, 0x6b3af733, 0x93b18f06,
+    0xdd371d71, 0xb0a2fd24, 0x5dfc5118, 0xe5cd4ba5, 0x7879ba91, 0xc9a6978c, 0x497dfebf, 0x2d6214cc,
+    0xf31af4f1, 0x49e92101, 0xe4244770, 0x48ef78e6, 0x5c16922c, 0xb198af5e, 0xd380bdac, 0x7e1ca5fb,
+    0x555e9e83, 0x3cd0995b, 0x6e6107d9, 0xb04eb195, 0xdc7d9054, 0x24e90001, 0x06b327dd, 0x3a75be04,
+    0xc4f4c45f, 0x58b8c9a4, 0x17fb9733, 0xe35a68f5, 0x851e14c0, 0x5660605b, 0x7e3a6158, 0x3e711297,
+    0x5752ab44, 0x073ae347, 0x76d2fbd5, 0x052eeda7, 0xcbdef3d9, 0x92e6ac34, 0x6310f844, 0xae38dd80,
+    0x79779ce6, 0x7dee266a, 0x182ba291, 0x106ce086, 0x6b7c6b6e, 0x0f462ea6, 0x97da7081, 0x6a11b248,
+    0x43f822b4, 0xb61b49aa, 0x66bf9914, 0x26306995, 0x5bd7b570, 0x679c57f0, 0x5e23157e, 0x172dac05,
+    0xb6e7d84a, 0x2744dc2d, 0x8ec8fbb3, 0xdcffbacc, 0x5b306cba, 0x4bc44d30, 0xeb69cea9, 0xe39dcfb1,
+    0x2d37895e, 0x55db7777, 0x902e70e4, 0x2446b371, 0x8d17b546, 0xb9c6e520, 0x3c9cc22f, 0x7ba30ece,
+    0x1c3e3d58, 0x79b4caad, 0xa58be578, 0xcc2b1bac, 0xafea7110, 0x72276309, 0x528daa45, 0x4e42c29e,
+    0x21484849, 0x1f51d4ec, 0xe0409e19, 0x27d28b94, 0xf78b8170, 0x122bebea, 0x3065a9ba, 0xa45b4989,
+    0x46017116, 0xee333738, 0x35486d88, 0x65f53f60, 0x26ea39b0, 0x0e491d6f, 0x835d4fdd, 0xced4d28d,
+    0xd9e6fcf1, 0x02989460, 0xb504d325, 0xac2241c0, 0x36e95540, 0x347156fd, 0x1d0f6c12, 0xc912c9f9,
+    0x00000000 }, /* 10**00000001997919072202235028084222227067626435679102811305581536549860454160237\
+                         91284464999687699590596063486154228923591770023865308670443474450259602571264 */
+  { 0x00000000,
+    0x4000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564041,
+    0x73c2ce83, 0x3287ef4e, 0xea8f9d1f, 0x125f55b1, 0xd685eb0a, 0x1af72402, 0xb2e52a67, 0xf8b166a6,
+    0x00000000,
+    0xce32ec7a, 0x88ba2e76, 0x9a6b0f0a, 0x75ef0c2e, 0xb8edb659, 0x5154c221, 0x07a01b74, 0xe7fdb8f4,
+    0xe470cb2d, 0x8968b26b, 0xefb021a7, 0xa8c44a56, 0x1740e53a, 0x9f8752c7, 0x39ee26b2, 0x5e4768f7,
+    0x202052b9, 0xf19516ee, 0xd485fce3, 0xf3696568, 0xa39e4219, 0x695bd505, 0x52260ed4, 0x64b24adf,
+    0x01b26487, 0xbb797a08, 0xc5bddcfd, 0xb13bca25, 0xd2d3833d, 0xa586c030, 0x6341e9cb, 0xfb9ad660,
+    0xfddb1d0b, 0x096c1f1c, 0xc654432a, 0xa69d2516, 0x1727c2d3, 0x89fb0e54, 0x52b45177, 0x1029ccf5,
+    0xcebf5f52, 0xcfa89269, 0x94262d56, 0x0d23b83c, 0xe8d85dc8, 0x5f9b507f, 0x20fe75bc, 0xc05d8731,
+    0xe2484a03, 0xbbedb305, 0xac0409e8, 0x8c629daa, 0x050af54f, 0x3747a9c1, 0x67e97f55, 0x71ff2d4e,
+    0x666f41d6, 0x3505a31f, 0xc91a4fd3, 0x32b4bbb2, 0xfbbd9b98, 0x0f0f767a, 0x84094999, 0x99fa0b79,
+    0x241ef088, 0x7f970e28, 0x1bc7d9c4, 0x046e36f1, 0xac9ce872, 0x0e29868a, 0x642e9db3, 0x7fa3d118,
+    0x9d044566, 0x1b3ee622, 0xff53c799, 0x09f610db, 0x75aaa830, 0x6940d868, 0xa2280442, 0x081d8de5,
+    0x52040bcc, 0xb416f770, 0x88610f47, 0xc7710b4e, 0x7f342b3c, 0xb5129519, 0x2380a410, 0x63f568e9,
+    0xf6393f00, 0x6db5582d, 0xbd3406a2, 0x854a429a, 0xddf2684a, 0xfc9e86ae, 0xbd552e06, 0x6ffb5087,
+    0x504c8da2, 0x54dd9a05, 0x96d85780, 0x54c27799, 0xf49198d5, 0x0d3814be, 0x23b9c044, 0x49c13573,
+    0xde73e768, 0x6b33fce4, 0xe0ba1e02, 0xea545e44, 0x242243ff, 0x9a2d3406, 0x70aae708, 0x3c2b689a,
+    0x5fd72843, 0x76b35c02, 0x62cae2fc, 0x53205c7b, 0x9bae586d, 0x1e6c5f7b, 0xd6d954c8, 0xa887aed4,
+    0x9d3702da, 0x9dd6d2d8, 0x93f977dd, 0x084bd20e, 0x88960d06, 0xcadac77f, 0x885c2d2b, 0xcb4bd678,
+    0x82279cd4, 0xfef43166, 0x7a324068, 0x57153abe, 0xd76aee0e, 0x9c963b83, 0xb8a47356, 0x408fae3a,
+    0x7114d362, 0x141b9b78, 0x6bf6c830, 0xd26c3710, 0x6d245696, 0xcac2aaec, 0x84f18362, 0xf7c81932,
+    0x5a673a65, 0xe62d1db4, 0xdfccd5d6, 0xe5d11ea2, 0x5b272139, 0xdebbcbd7, 0x59c090e9, 0x023bd968,
+    0x852f6da3, 0xb439a73b, 0x16159bcd, 0xc235f683, 0x0500cc67, 0xf5dc438a, 0xc387deb1, 0xaca47dd5,
+    0x6024d30f, 0x633f3e1d, 0x36baa926, 0xd6bc88a1, 0x566a8f85, 0x001a6e9b, 0x736a736c, 0x6f0133fa,
+    0xb5067cf9, 0xc568141e, 0x3616ff0a, 0xce05bb92, 0x25a06a42, 0xed90268c, 0xbcbd679c, 0xf58b5a81,
+    0x4f74d407, 0x7c9c76f3, 0xe4c7c578, 0xd3a3b442, 0xe4624e67, 0x7ae46630, 0x531f40cb, 0xba2590ab,
+    0xdfc778b0, 0x0e19e136, 0x1dade3fa, 0x24980661, 0xe6677939, 0x617e56d5, 0xa898651f, 0x07c26257,
+    0x31ada6b1, 0x7cfd3ca0, 0xc9f9f0b3, 0x70635e1e, 0x7d325f11, 0x0296ff62, 0x4570e1b5, 0xf854f02e,
+    0x33db569b, 0x8f20ae13, 0xac890eb0, 0xf02a50f9, 0xaa76e62c, 0x2eef7680, 0x4484596d, 0xa18a2870,
+    0xafd2470c, 0xf9a1b969, 0xd2dcc908, 0x00e4483d, 0xfa209c85, 0xfe05bc51, 0xe7c151f2, 0xaef9e87f,
+    0x93c51e49, 0x31a248da, 0xebfc3301, 0x0a86bc4e, 0xdfebcbf3, 0xb67440d6, 0xa086d181, 0x21887770,
+    0x2606b545, 0xec3a3ba4, 0x05f094a6, 0xf27ad0c1, 0x2794090a, 0x5779cd90, 0x48f3c08d, 0x7a559401,
+    0x720079d0, 0xa0ac3298, 0xd7f2ea14, 0x3c9089f1, 0xd85e689f, 0x112695cb, 0x8271372d, 0x6b57ece4,
+    0xfd411221, 0x47e4a572, 0x76b91822, 0xc9de427b, 0xb5cb127a, 0x1d10cb5d, 0x709f5f78, 0xbe58b9b9,
+    0x28918a56, 0x47804e02, 0xbd310418, 0xc50244ae, 0x86a00d3b, 0x506ea7ea, 0xbf67ec4d, 0x4c0c2ff8,
+    0x5e48752e, 0xcd420bc4, 0xc9796eb9, 0x6e9460d8, 0x6af517e2, 0xe1a6bdae, 0x5f50569b, 0x5ac99b55,
+    0xd2b4bc04, 0xfb940e8d, 0x00237c34, 0x355d7485, 0x40fb2dc3, 0x39350d80, 0x5f15e907, 0x0c194a1f,
+    0xf9e455e2, 0xd2dcd3d0, 0x96f38f50, 0x1847cab7, 0xd1d33757, 0x4f355137, 0x75afb351, 0x3b3d6760,
+    0x2326817f, 0x43ce9972, 0xde0c9cfa, 0x14d3eb8a, 0x07d606ac, 0x311f7324, 0xa7651bdd, 0xd43fb7fc,
+    0x25bd519f, 0xb3f5893d, 0x0d12c1b5, 0xe8c3f834, 0xa162c863, 0xfb3f80b3, 0xdcbbbf77, 0xfa8a8468,
+    0x0c117708, 0xcf066043, 0x98db148f, 0x475f4cd8, 0x7f5dc13c, 0xb0909fed, 0x24eb80d8, 0xb9fde01b,
+    0x60f72ea1, 0x63182a86, 0x446ba45b, 0x223d65f8, 0xc9834c19, 0x07a83ef0, 0xf015757c, 0x16e0f586,
+    0x6af62f21, 0x7d266d04, 0x42a9747c, 0xd086f8df, 0xf35e2205, 0xeff87223, 0xf7b6778c, 0x2464a26b,
+    0x820bdc78, 0x1405c64a, 0x873ebf67, 0x7c6b1dc5, 0xc90b7f09, 0x4d4ed8fa, 0x45ce2bf6, 0xbc9d340a,
+    0x402acf06, 0x8d7a67d1, 0x7642384a, 0x6b8ea8eb, 0x094fc6c6, 0x5110eade, 0x31d6eff0, 0x283fe31c,
+    0x1d607c99, 0xfcee57e4, 0x90aed67c, 0xfc0171bf, 0xb4735eb0, 0xce3d5d2f, 0xea6a5f57, 0xf1fd5f3d,
+    0x5e832d20, 0xda063523, 0x050ea375, 0x63990570, 0x0500be75, 0x263cb409, 0x01638dfd, 0x80a2ab1c,
+    0xb378a7d7, 0x80d67c9d, 0xfa3fedc0, 0xcfa61f97, 0x09e3b176, 0xb60c562b, 0x3053a92f, 0x9afc1508,
+    0x99d744ea, 0x573879cd, 0x0d349b9b, 0xe7378324, 0x5cc699af, 0x84332b0b, 0x93c4b196, 0x710dacfb,
+    0xd38c0765, 0x142b265d, 0x909d6d99, 0x97d521bb, 0xde021a42, 0xf3a2bd87, 0x7b518063, 0x2e505452,
+    0x38f7ac95, 0x9fb37d3c, 0x52804690, 0x8b8708f5, 0xf574714f, 0x8e3cafa1, 0x79f6c028, 0x750e5517,
+    0x015b2d32, 0x85de947f, 0x19a6e779, 0xbe264775, 0xfe876b93, 0xd0c940c7, 0xde61b06f, 0xd83b3cf7,
+    0xde07f925, 0x578009e2, 0x7a4cab8b, 0x2c5c08ae, 0xdc384d98, 0x016efa29, 0xaff6e927, 0x23b734dd,
+    0xe36d9de5, 0x6bf8ed6c, 0x892074af, 0x4046c5de, 0x2024b1ca, 0xc9e1dbe2, 0x8eaffd84, 0x21b0f8c5,
+    0xb3b87fb9, 0xecf32b58, 0x8d9401f4, 0x491cc76b, 0x9a4d60d4, 0xf8e61ce2, 0x5d3c2fea, 0x599b8e70,
+    0xe1552f78, 0x138683df, 0x244b5a64, 0xa86ab02f, 0x53cb3c78, 0x68ab13cc, 0x746ecee3, 0x8aec9c72,
+    0x3b5e8462, 0xb37cdb2d, 0x117a4dc0, 0x44cb9c10, 0x2bf00339, 0xea7aceb0, 0xfe5b5396, 0x3b9c5c70,
+    0xaea6658e, 0xf87ec523, 0x2211a8d2, 0x303ea816, 0x6e1331db, 0x871950a2, 0xd56ba1db, 0x051f740c,
+    0x19d8ecf9, 0xb4b4b068, 0xbcdbbe05, 0x16a3333a, 0x591b600c, 0x8143a9be, 0x722645a8, 0xe708b37e,
+    0xb4762b84, 0x97f68a20, 0x04f61633, 0xedb45b5b, 0xbaf1a2e8, 0x501fbe86, 0xcbf1dec7, 0x64978737,
+    0x66cfb3b9, 0xc8da34cc, 0xa9cfd60d, 0x6e0dfdfc, 0x2ab705e8, 0x846e21e9, 0xdcee0a0f, 0xabc14e74,
+    0x4e2570dd, 0x523f5240, 0x259e5897, 0x7a413bff, 0xc6990fb1, 0x3257f4b7, 0xc88bf2f6, 0x64808d31,
+    0xea0ff882, 0x544747b5, 0x8c013ef5, 0x4e7813e5, 0xbd37cfc9, 0x75696b09, 0x05e15642, 0xbd27bd61,
+    0x0944026d, 0x41332bdc, 0x2c6ff1e0, 0xfe01b650, 0xab1e3fe8, 0x9db971d0, 0xf8ee410e, 0xc49109f2,
+    0x737714a2, 0x341019a4, 0x473cfc53, 0xb09ebbb7, 0x0097ca86, 0x0c685bac, 0x56102cce, 0xbe89a501,
+    0xfc934d31, 0x8a7a5eaa, 0x86643de0, 0x13c0c646, 0x6120a988, 0x056fbfee, 0x2078a629, 0xe4f13565,
+    0x48b9df49, 0x6b81c539, 0x89944ade, 0xfdc8e656, 0x31b60836, 0x50738526, 0xe0b9491d, 0x90e10810,
+    0xbc2f8ab8, 0x22f63c1f, 0xd5a948b2, 0x1d217018, 0xe6d55cdd, 0xad013b10, 0xb4aca7fa, 0x9cf22ca8,
+    0x08df3fd0, 0xb6356e2d, 0xb9bdf63b, 0x3e129b85, 0xccd59e8e, 0xe60a9797, 0x9e12581c, 0x406e796e,
+    0x4d44dd93, 0x9331e0ff, 0x26745947, 0x8c11c4d0, 0xf0fa8485, 0xa7f3976f, 0xced26846, 0xb5973d40,
+    0x0f84faae, 0xcb65c208, 0x74146ea0, 0x50a6c815, 0xd20135cd, 0x8ae37ceb, 0xe3a32d1e, 0x63d100c5,
+    0x8e4e045f, 0xaef1eb4a, 0xb54a5718, 0x0463bcca, 0x71d274b5, 0x04d60601, 0xc415b67f, 0x3eb6af2b,
+    0x7efc6820, 0x7b676424, 0xf50dab70, 0x1e2b71a3, 0xa14753b2, 0x4a0cf577, 0x2b2ad791, 0x75e6d732,
+    0x1a5677f7, 0x0cab443f, 0x03fc56d6, 0xf673b62b, 0x4c00648a, 0xb06fd776, 0xa6361530, 0xf6313d8c,
+    0xfd0abdc2, 0x815176b6, 0xee98c6ce, 0x01cfbf71, 0x418e1839, 0x63a724ab, 0x663d4b33, 0x9a9cac37,
+    0x43e48721, 0x21f484be, 0x64654642, 0x7dfa78f1, 0xfd79199e, 0xade86a0e, 0x648d26e3, 0x6f223ba9,
+    0x6799bf21, 0x9311946a, 0xe1c14972, 0x8abc6441, 0xfd2e4578, 0x125f6f43, 0x987f81f3, 0x28079a8c,
+    0xdc33f888, 0xdaee5240, 0x58708c16, 0xb86abb90, 0xe2db5426, 0x95fbb682, 0x47cfe4f4, 0x6db998d5,
+    0x65395151, 0x039ed974, 0x427443e5, 0xfb077042, 0x4b471102, 0xad628836, 0x3397c110, 0xc9eb90ab,
+    0x3c08334f, 0xc83d1b68, 0x50df293e, 0xf9e3fd21, 0x97d7114f, 0xd264eb22, 0x832912aa, 0xc2a9813f,
+    0xcb6fe388, 0x3b5212cf, 0xa38f6eaf, 0xf731898b, 0x063c684f, 0x11806412, 0xf01d82d5, 0xfb0e52e8,
+    0x93655c0a, 0x67f4615e, 0xe076ad92, 0xbca0ad31, 0x10d3ed92, 0xdf8b8992, 0x3e9e43ca, 0x3e486f60,
+    0xcc32dbab, 0xc6256e16, 0x92a48391, 0xf6886dc9, 0x93f5f646, 0x578a02b8, 0x8d198c36, 0xea7a4c4e,
+    0xca0e33b8, 0xe68d0a31, 0x5f9c9010, 0x6eb9ec51, 0xa534d765, 0xca99c92d, 0x187964da, 0x46124567,
+    0x9f563198, 0x111060e8, 0x6510590e, 0x3ba100c7, 0x233acc85, 0x2fff88f5, 0xe642479e, 0xdced3c35,
+    0xfb60925d, 0x435813de, 0x21242e15, 0xcd6e93e8, 0x23801224, 0x5d88b92f, 0x1ef56a04, 0xebcbb617,
+    0xe6cff230, 0x9c8dc6f4, 0x8f0f6f18, 0xc63b29dd, 0x5bebf1e9, 0xd5bf0ffc, 0xdf529c39, 0x2547691d,
+    0xdfe10b8a, 0x306ae6ad, 0x99e90e5d, 0x93320a20, 0xf5b584d1, 0xb9b8f063, 0xf6519ede, 0xdc5f031d,
+    0x4e49d2ee, 0x1a0d54bb, 0x638c4849, 0x4036a709, 0x48aa1562, 0x2da3e4d7, 0x35b0bc95, 0x82ea71ec,
+    0xf352e8cf, 0x9a1a76d4, 0xd84636b0, 0x7c7232a1, 0x83dfba15, 0x9d5999c7, 0xd02209f9, 0x96c38610,
+    0x15c8b75f, 0xccc3ab49, 0xf6095907, 0x55c63eb8, 0xe36ea2d6, 0x967fc92b, 0x8356743b, 0xf9d4cb1a,
+    0x8d36a032, 0xbef2586b, 0xab4835c4, 0xbe32c89f, 0x387e1d6c, 0x15c65cb3, 0x425b9b22, 0xeb4b319f,
+    0x5baf0a0c, 0x10d99297, 0xccbc4a41, 0x92b669b0, 0xf5efb2e9, 0xd3639aac, 0x49482577, 0x3df8999e,
+    0x40f9f1dc, 0x5d719292, 0x1434f86a, 0xc2c83503, 0x3f812c1f, 0xa47b25a2, 0xd7c83736, 0x550678f6,
+    0x59eb51a9, 0xd7fa2ec5, 0x2fe57d68, 0x333e4075, 0x1f185943, 0xdc9c59d8, 0x312b99f2, 0x3a44521a,
+    0x945a2f77, 0x232cef32, 0x92c61ef8, 0xfb39d094, 0x1d16d001, 0x2d01d0b8, 0x0960fa47, 0x100136b4,
+    0xa9d29c41, 0x214d490d, 0xcb2c2ea3, 0xd2886df6, 0x8d72c79f, 0xa648535e, 0x84da082a, 0xec3513db,
+    0xa28af421, 0x5dd0043f, 0x5aed8eb5, 0xf05a987f, 0x8e1d9ed3, 0x6fb788fb, 0x2c4bdfbf, 0x7cc44f6d,
+    0x15cb5cff, 0xa2750783, 0x3394d75c, 0xeb414d0c, 0x4fb70d70, 0xe2d84dbb, 0xfa3e5955, 0x9ac0c958,
+    0x3bdc1632, 0x3d9a08f5, 0x4f3b0e45, 0x23201780, 0x15650a50, 0x575b3e56, 0xc397893e, 0xf2f5d1e6,
+    0x63371cd7, 0xcbd53d9b, 0xf2b38fb5, 0xbdfdc622, 0x7434522f, 0x9465531c, 0xa1be5597, 0xa6dd76d1,
+    0xb838a55a, 0x23239dfb, 0x905c613d, 0x61cc7f49, 0x26485b22, 0xf32af79d, 0xfa05f08f, 0x7e9d77f0,
+    0xae691ee3, 0xa7ea141d, 0xea42e21c, 0x2c84d8ea, 0xc7d7ffa1, 0x1bded5b8, 0x773d05b7, 0x263ac278,
+    0x33f9ebf6, 0x0da6ee33, 0xba8b8861, 0x41f6385a, 0x781caeab, 0x0825eebc, 0x7c092b13, 0xff641aac,
+    0x41b0810d, 0x8116dd5d, 0x8b4be7ed, 0xe235f92d, 0x41073937, 0x388bbfdd, 0xe7b76db2, 0xc27fbffc,
+    0x80626bb8, 0xc2c381c5, 0x18b41be5, 0x8274b3ec, 0x971948b4, 0xcf077aeb, 0xf3743844, 0x37dcec83,
+    0x7896d100, 0xf8624ea0, 0xd2e49647, 0x4bf613b1, 0x822690c8, 0x93ad889c, 0xf4160cd5, 0x0f89887d,
+    0x12867b1f, 0xaf807702, 0x26fd5c48, 0xe76cd031, 0x2d8955a6, 0xc2fecbb2, 0x29f431ec, 0xd2a60cac,
+    0xa6bfb833, 0xf6ce5f6f, 0x66c38032, 0x57164802, 0xacacc635, 0x7fb07c66, 0x05015047, 0x67e59a1c,
+    0xf9c804fa, 0x2d731a01, 0x4dbc6b9d, 0x7a53f92d, 0x96900c9a, 0x86026fa2, 0x1639745f, 0x243f4a50,
+    0x5f17472d, 0x2f978379, 0x1d516964, 0xa4cd15bb, 0x9b7180f2, 0xcfb0cb00, 0xd0e7aa51, 0x6e8e8ae0,
+    0x00fd3ef4, 0xa8314bce, 0x9f203730, 0x136a7152, 0xb9c8a97c, 0xa0fef45c, 0x1ced3a8c, 0xf60dc37e,
+    0xfe2d112d, 0xd69f4e96, 0x92ed3247, 0x76454a19, 0xe8c2a205, 0x8d67f9e6, 0xbd9978e8, 0xf4ca96ff,
+    0x58c0edf0, 0x854db7af, 0x38b7c4f4, 0xbf0f00b6, 0xe3fa815e, 0x5d39562c, 0x87f619e5, 0xb5b9e6ea,
+    0x33acd177, 0x29cd43d5, 0x6cecf9f2, 0x303c77e6, 0xd41034a0, 0xb17cbb4d, 0x3e9428d8, 0x035dee48,
+    0xec687f75, 0x6d032cd9, 0x6dcbe604, 0x8102380d, 0xff66ff43, 0x04705d09, 0x0baa7125, 0x5769eb65,
+    0x63eb1a2a, 0x2eb62e2d, 0x55a57257, 0x7257eea5, 0x42e56f98, 0xae03e82d, 0xf3843c85, 0x01d979ca,
+    0xc9645bc3, 0xd23e32ce, 0x766bfe94, 0x731cb3b4, 0x260cf699, 0x7b1ec6c4, 0x4b702370, 0xbba12aee,
+    0xe77eefb4, 0x5ce5f105, 0x2c60442b, 0x656b7f8c, 0x8f249410, 0xd658a22c, 0x10dcc200, 0x0a044506,
+    0x4196392a, 0x726525c0, 0xc9127061, 0x4d575dec, 0xb17ddccc, 0xcea1fe40, 0x4bb034fd, 0x86367f13,
+    0xf44cec20, 0xed1c06be, 0xc532dee2, 0x838b9826, 0x743606cf, 0xdc3928d9, 0x979815dd, 0x6897ffb4,
+    0xa34429da, 0x7cc12b23, 0xee223668, 0x59ad1f7b, 0x3756e49d, 0xc3739fdc, 0x61d6f7e7, 0x518ffd33,
+    0x6330c86b, 0x31de612a, 0xdb34bfa4, 0x8f42ea33, 0x199549a1, 0x8c3d9c32, 0xfd0108df, 0x42e067fd,
+    0xf2173cda, 0x220bf050, 0xd438d752, 0xa7afce9b, 0xd2a327a5, 0x2f75e571, 0xc3f1750f, 0xe2952390,
+    0xf9f7fc32, 0x65a16445, 0x57f66e5f, 0x9a65ff62, 0x2779feaa, 0x185dd4f0, 0xb321470d, 0xbab80039,
+    0xdeb68d3e, 0x78e6b1f1, 0x1413183c, 0x8568b5c8, 0xc364286c, 0x738f4223, 0x2ae437a4, 0x75a7817b,
+    0xe734da15, 0x1d9423ba, 0xc5725af0, 0x0ab13990, 0x1ecb99f2, 0xbb1b899d, 0xc2bde63e, 0xf9c0de42,
+    0x5bd43b73, 0xb880a5cd, 0x7e9b0acd, 0x292d1e55, 0x15bb6065, 0x5d2ab00f, 0x8bfbaff2, 0xa8ace244,
+    0x834634c7, 0x88367c37, 0xf6f5a2d2, 0x18a206c1, 0x032572a1, 0x978770a2, 0xd29460bf, 0xd65eb2e9,
+    0x00000000 }, /* 10**00000000998959536101117514042111113533813217839551405652790768274930227080118\
+                         95642232499843849795298031743077114461795885011932654335221737225129801285632 */
+  { 0x00000000,
+    0x40000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab2020,
+    0xb9e16741, 0x9943f7a7, 0x7547ce8f, 0x892faad8, 0xeb42f585, 0x0d7b9201, 0x59729533, 0xfc58b352,
+    0x00000000,
+    0xe5c10974, 0xf94b6129, 0x52d657f6, 0x9f870c1e, 0xbf5e52f1, 0xd69460c0, 0x1b8ed929, 0x06d551c0,
+    0x54a1a956, 0x210246f4, 0xe6705a32, 0x32d05f30, 0x68280b13, 0x914d96ad, 0x3cc985d5, 0x14bdaf4e,
+    0xdb9d3fb5, 0x8ddabcb4, 0x8e683f2c, 0xafb65807, 0xf97fde76, 0x3bbebe04, 0xe4565cb9, 0x5e126c32,
+    0xcc4e8a3c, 0x5e89fd19, 0xed604854, 0xe115bec0, 0x0b1b42b4, 0x8b4f1e4a, 0x6304bdc1, 0xcb0e3d1e,
+    0x6a92dffc, 0x2c632a7f, 0xfc546b64, 0xaa6360e8, 0xd75c30de, 0xcf5cd70c, 0x14a907e9, 0xb6f182b4,
+    0x9a521a79, 0x23ec8119, 0x52b52232, 0xcacb1880, 0x82975a98, 0xe7c25c37, 0xe2091bda, 0xbf389157,
+    0x0d2d81a9, 0xddfdfc12, 0xb966bcec, 0x7bd28030, 0x7771d1a6, 0x90f3f02a, 0x73a3f7a2, 0xe05079a2,
+    0x1d50317f, 0x8b6987cc, 0xf6cdc7b0, 0x9a69671b, 0x188cd1ff, 0xf2e6b670, 0x04e91fbf, 0x8d60af92,
+    0xad06f19c, 0xe2ef7452, 0x86327536, 0x9bb0d1cd, 0x75092a9b, 0xa2882caf, 0x17b9539a, 0x3f63ecf7,
+    0x939637dd, 0xd608aebd, 0x6d1a2eb9, 0x27e66e4a, 0x8ef0e736, 0xf3bfd403, 0x575be34b, 0x1fcd7a9b,
+    0x39efd4a5, 0xfc292ddf, 0x87d5983a, 0xf04a1918, 0xb2da1e97, 0x02c3f906, 0xd9c63e46, 0x5fb4b525,
+    0x2fe6459b, 0x7bf8cf98, 0x54adbde0, 0x6a31f98b, 0x86fe9fb4, 0x83ea4192, 0xf5e5a4bd, 0xce1c4947,
+    0x1681e57a, 0x8ece3360, 0x019d1090, 0x22cfc7bf, 0x3b77c0da, 0x37eb7f10, 0x3dcb246b, 0xb5b0c634,
+    0xa6444b6c, 0x9164b980, 0x34f40070, 0x4900227c, 0x916dbfc1, 0x9228ad81, 0x60cadc5a, 0x463bb4f4,
+    0x97564128, 0x7e0fb64a, 0xbaf002ba, 0x01e7ad4b, 0xdfd8037d, 0xe5372489, 0x630bca1b, 0x0fd135f1,
+    0xe6536a10, 0xdb1d8406, 0xc10906a3, 0x13a76d93, 0x4e6f1f94, 0xea22aeeb, 0xc15b5d6f, 0xa8c63438,
+    0x1fbf113e, 0xc0fb6201, 0x8c1e2b90, 0x2f584334, 0x2a093602, 0x2ce41771, 0xe8330e31, 0x8e931ff9,
+    0x341a0e6f, 0x866adc61, 0x4349a27f, 0x58e6a3c7, 0x9cbfd034, 0x1fe5879e, 0x61f1060d, 0xa8837730,
+    0xc654a63c, 0xa762b103, 0x0bd9d784, 0x43f8e8c6, 0x399a7d7e, 0x98095adf, 0x8201b785, 0x3fcfcab7,
+    0x2d727554, 0x58c02020, 0xb38c71bd, 0xf7e82abc, 0x7afac280, 0x4cfa2735, 0xad115d8a, 0xdfc17c29,
+    0x59b2f6f9, 0x2b699b25, 0x656fb84c, 0x1f5452b7, 0xec444f1c, 0x89d80bbf, 0xcb56a9b5, 0x3e3bdcad,
+    0x628c933f, 0x2f070047, 0xf1069f9b, 0xf1715307, 0xae3cdd88, 0x4ced71f4, 0xd2a3aa2c, 0xb60e8a71,
+    0xb07fa596, 0x9d5eabc9, 0x10f0a28a, 0x21e21409, 0x498dc053, 0xfeb20df9, 0xba98cef1, 0x7e4be904,
+    0x120c66d2, 0x1ff9e59c, 0xa4fdc90a, 0x26ff3664, 0x4b96a9ad, 0x74880db3, 0xffd75d39, 0xd863cd16,
+    0x4be1cc56, 0xa54f03e7, 0x776ef54f, 0x59323397, 0x19878091, 0x2ce5824f, 0xa4866a5e, 0x85b928fc,
+    0x91304c3b, 0x7c61500f, 0x90d33f5a, 0x14af9aa0, 0xb1bbc6c2, 0xe8696daf, 0x04018b65, 0x12cf113c,
+    0xf2d8ca3b, 0x8963e01e, 0x4b6c9ed4, 0x4b5b1149, 0x93d4690c, 0x240df342, 0x06eef897, 0x591d460d,
+    0x655b3e95, 0x1c0087d2, 0x38dc6775, 0x8637363a, 0xf0ab8dd6, 0x4a0de8f1, 0xd4a99743, 0x0e52b9a6,
+    0x3729728e, 0x3802a1ac, 0x2e5b44b5, 0x9468f1fa, 0x87b53bbc, 0x5f081af6, 0x891c0a55, 0x196911fe,
+    0x78e4e876, 0x8e88c464, 0x60ef010b, 0x1ad43bdc, 0x6e1519f0, 0x7684abd8, 0xc7a9ab9a, 0xa452534d,
+    0x099bc282, 0x1172aaf1, 0xd28ccb32, 0x5492cdcb, 0x2936a5cb, 0xfbdceb2b, 0x5236671e, 0xa3026178,
+    0x6e03642f, 0xecd2c2f2, 0xcf525dfc, 0x98374b8b, 0xa7f960ea, 0x9cb61a49, 0x08779ad7, 0xbc326b52,
+    0x93e49778, 0x7566d5b0, 0xf9942200, 0x2303839d, 0x3c496966, 0xaad6278a, 0x37ab3f7f, 0xe0e7356f,
+    0x193aac5e, 0x3c739ce6, 0xa57c29b3, 0xf48be740, 0xdbb3ec2a, 0xd560b2fa, 0x68b28c1c, 0x177aa266,
+    0x49c14723, 0x743f4892, 0x440040f0, 0xb5015cc5, 0x47b33a0d, 0xff7f35c1, 0xb7f3d275, 0x7f8d45d0,
+    0x866ac083, 0xb05aace9, 0x832ec7ea, 0x1d16e307, 0x3c06a81a, 0xbb6b3174, 0x95b9da94, 0x8a31f051,
+    0x5ad971a1, 0xfbdbfdae, 0x5bb8d850, 0x82e22f5e, 0x0974e0a0, 0xfe8dec02, 0xd166f977, 0x6fb13537,
+    0x1884e5cc, 0x610ba02f, 0xac308717, 0xd12f742c, 0x47cfff1b, 0xeca615a2, 0x77bd82aa, 0x925e5339,
+    0xb30ba003, 0xd4b3be53, 0x3bc2e8f4, 0xcb94d7fa, 0x825a0deb, 0x49a7efac, 0x51cb1bf5, 0xb2acfa13,
+    0x81856dfd, 0xad3d95ca, 0x0daa719e, 0x67055e92, 0xf3be3932, 0x2643ee98, 0xef568a92, 0x2809487d,
+    0x1cd1e8eb, 0x72e88b4e, 0x3119a5ea, 0x429505bf, 0xc6f181b8, 0xdaef4224, 0x6865bcec, 0xc5fe32b2,
+    0x319b171a, 0xbee49e39, 0x9b5a9eb6, 0x800d2390, 0x5c0f566b, 0xe50ecaa7, 0xb72bf45a, 0xddb8f429,
+    0xdddb5f30, 0x420bbf04, 0xe1c7946e, 0x75617fc4, 0xff748a4f, 0x1b9861ba, 0xaa292785, 0x0fb76141,
+    0xe82c1c9c, 0x02a5108d, 0x0a63b2bc, 0xf34fc42f, 0xe2d9441b, 0xbb1598c1, 0xfea70174, 0x5cc5f971,
+    0xc1637133, 0xf538aed2, 0x2088793a, 0x643dd401, 0x90f51900, 0x59d0fb44, 0x7c6df5e2, 0x26734a2f,
+    0x9ab59b54, 0xe89d3215, 0xc3ba318c, 0x5239d49a, 0xea9e14f0, 0x1770112c, 0xe707121b, 0x339d2665,
+    0xddd67f61, 0x9f162043, 0x2a8b3b3f, 0x082db2d1, 0x14b82261, 0x28431b5b, 0x76716504, 0x766c8e65,
+    0x5f5f88f9, 0x0fadf9cb, 0x6e4c8f94, 0x26343028, 0x34ae7f24, 0xb9a0b483, 0x9f561b77, 0x3beb914f,
+    0xa9df48c5, 0xd5a40680, 0xf191805d, 0xb00f8c2b, 0x16d70dee, 0x609184f8, 0x2904a3ce, 0x0bdca816,
+    0x7aaaa12c, 0xb5e16ffb, 0xdb3d4057, 0xf3d558c8, 0x63293312, 0xddb1075a, 0x5764000b, 0x212086e8,
+    0x719b7fe2, 0x4ee01ca1, 0xec2f51f2, 0x23710fdc, 0xf2d237b6, 0x71b4bedc, 0xffe7310c, 0x713d54ea,
+    0x169b251e, 0x1094fa8e, 0x8520808e, 0x93d86892, 0xb2cbf695, 0xa17fe337, 0x298e20a4, 0x44ff0fe3,
+    0x8e057db8, 0xaef501b6, 0xdaf589e8, 0xfba3884e, 0x0a9624d0, 0x6bff5699, 0x74f57983, 0xa704df76,
+    0x52a1f3e5, 0xe6870433, 0x9ff2c982, 0x2cab6116, 0x51b4bc53, 0xf97d02b0, 0xbb1746b2, 0x88dcb1a0,
+    0x53f8026d, 0x2e9e1c73, 0x139c1071, 0x16c880ba, 0xeb2f6ffb, 0x1038bb4e, 0xb8050a8e, 0xc879afa7,
+    0x2816e164, 0x21e930fe, 0x78b2600d, 0xd84769e0, 0x7eec2ad7, 0xfd460124, 0x0fd59a0a, 0x3470eda5,
+    0x56b0554c, 0x0d593da7, 0x09fa8131, 0x49f1d168, 0xa4595aee, 0x0422d415, 0x64bea29b, 0x8124d1a2,
+    0xd27c445b, 0x565e21b2, 0x51c7c00b, 0xe7aa1778, 0xb4574656, 0xb73e4d53, 0xe246f320, 0xa4b8bb67,
+    0x84a9b123, 0xf4f27cb2, 0xeb32d9b9, 0x4ccb1d0e, 0xd3b3731f, 0x010d856d, 0xd97281bc, 0x9bb6efcb,
+    0xa2b506ac, 0xee9d7ecb, 0x671a1323, 0xce058fba, 0x4e5d78d5, 0x277d18d9, 0x85a5479a, 0x8666c659,
+    0xaaaaad2a, 0x64f37b79, 0xaaed864b, 0x78dac08d, 0x3a01c201, 0xd93cfeb6, 0x20945a77, 0xcfdec8cf,
+    0x2ca09f59, 0x5a54bf83, 0x0fb01a46, 0xfa0e9868, 0x93f34ad0, 0xcd4c8144, 0xefd987f0, 0x468a3cbb,
+    0xded6ba0c, 0x211ea9b2, 0xa01e7d47, 0x4f20e598, 0x9048a43f, 0xe10b615b, 0x8e22fda5, 0x5ce8dabf,
+    0x44ba0e85, 0x64e4b890, 0x9f3b12f5, 0x047dc30d, 0x658c509e, 0x5e1d52fd, 0x8ec9b1dd, 0xe8fc022a,
+    0x8ec22969, 0x3ba4337e, 0xd81b8df2, 0x783a37af, 0x5241568d, 0x9d198010, 0x8b4cca7f, 0xe97ea5a2,
+    0xffe0ae4d, 0x273d5406, 0x2c835ac5, 0x316173de, 0xc9e06121, 0xbd655a52, 0xaabdda29, 0x9d3a0fc4,
+    0x687e09be, 0x655f704e, 0xe5247073, 0x223b074d, 0xa3d12055, 0xd2b30d97, 0xce2fd532, 0xc1c99b00,
+    0x5d1a2827, 0x6f9cc711, 0x2849fe3d, 0x6a06cdec, 0xcc48ece4, 0x7707be25, 0xca669843, 0xbde54317,
+    0xcd1b6787, 0x70be79ad, 0x6e52196c, 0x2e5fe8b1, 0x46eddcb5, 0xc3a93f0c, 0xc47692ff, 0xa9c10f2e,
+    0xb7e9a32e, 0x398816d4, 0x4717e209, 0xdd67125c, 0xd56d32ed, 0x8b7cb660, 0xa0057f1e, 0xb1c87297,
+    0x2336e223, 0x5d2ec0c4, 0x4548dc26, 0xec460525, 0xa250d779, 0xeb454f69, 0x6df33dee, 0xa42575aa,
+    0x1d3c375a, 0x0fc34941, 0x258e2c23, 0xf44f5587, 0xfcbf7e70, 0xf105a571, 0x7d44eda6, 0x88d149ba,
+    0x5f1f31f6, 0xe0e9070b, 0xdc32e232, 0xa2288a2c, 0x09f18993, 0x0bbe12fd, 0x565d0398, 0xae5136bf,
+    0xc0b17cdf, 0x64baac07, 0xa5cd54b2, 0x75c80e45, 0x4a4b5041, 0x62ddf7c1, 0x0c503ea8, 0x67607a0c,
+    0x45a20faf, 0x00579279, 0x4bcb464b, 0xf0767088, 0xc2d9a2b2, 0xba52eaa2, 0x345e1611, 0xa82e9986,
+    0xd005a149, 0xfcb27a57, 0xa706c073, 0xdad4a760, 0x05ac78eb, 0x04a22345, 0xb8baa848, 0x0f0fa400,
+    0x55dc60d9, 0x91319b98, 0x44a4f189, 0xed0bdc4e, 0x5a5417d4, 0x7f0253e3, 0xc944ea3a, 0xfaa16e58,
+    0xda3018c9, 0x74fb9686, 0x0a1bb1c0, 0x883a6701, 0x88601533, 0xb79f910f, 0x1fe1aee2, 0x2df37e5e,
+    0xc6c7eb4e, 0x023beef4, 0xb06f840f, 0x58c9768d, 0x4c757715, 0xc240e838, 0xe00f8afe, 0x3d8b64ec,
+    0xcd79287a, 0xc186a1c6, 0x42ba956f, 0xb0280fe9, 0xc5de7755, 0x1ec615dd, 0xe9ef46c8, 0xc4bd32f6,
+    0x1ff95323, 0x301c6879, 0xec054a42, 0x13c367b6, 0x66b4ec4e, 0xd397882c, 0x867d22dc, 0xca565903,
+    0xb7b981a6, 0x5c30e233, 0x952c8349, 0x6ed9dd31, 0x1b6aa13e, 0xd359b8cb, 0xf709f4ad, 0x866236fd,
+    0xac1d97c1, 0xc1386bc1, 0xe527c00c, 0x793cc58f, 0xbdd5174a, 0x9b03fde6, 0x82612114, 0xf7eba4be,
+    0xbb8fc284, 0x05b52fd1, 0x1811a929, 0x4726def0, 0x5f538c06, 0x385f113b, 0x0cee356f, 0xd77df15e,
+    0x98186a75, 0x29d6d70d, 0xc45c9d5d, 0xda2c6841, 0xbaff5aba, 0x6e92d6fd, 0x24178d3b, 0x28b35622,
+    0x343e97a6, 0x1ff21254, 0xbfea91e2, 0xd8304788, 0x21241e07, 0xfe2d78c9, 0x77fdec3d, 0x43ee5f96,
+    0x3328b0b6, 0x9e343634, 0x6dd98f11, 0x2c3ffaf3, 0xbc038808, 0x89054c20, 0x05fc8079, 0x4965a440,
+    0x27008018, 0xc9b3c08e, 0x4d20403d, 0x7da72674, 0xcb56bb2f, 0xb6135ebb, 0xf0c2c4a2, 0xdf18c26f,
+    0x5f2ce723, 0x6389bbf1, 0x5afcd903, 0xc568cf9f, 0x46842346, 0x5f6feb9a, 0x568b8aa4, 0x03dbb48b,
+    0x38c1c1b3, 0x6ea14646, 0xe15d0715, 0x6be054ef, 0xbc540cc3, 0xc7103c08, 0xf3bfcf1f, 0x30b5d00f,
+    0x519e1334, 0xedd690a2, 0x1539d190, 0x9ea23a5c, 0x72773554, 0x8a9b136b, 0x7ff8a597, 0xcf45a38a,
+    0xd7ee9be8, 0x9c53a247, 0x4940caa8, 0xf61179f0, 0x5a4640da, 0xaad53681, 0xc39d2bd7, 0xd9dec0ef,
+    0x967b99da, 0x536a1d1a, 0x40f3d940, 0x78d211b3, 0xe320cad8, 0xad644687, 0x9c371db4, 0x9ab2ecb5,
+    0x147eeb4f, 0x5117be9d, 0x6a1c405a, 0xf12dc9ca, 0x0c84a65d, 0xc314427e, 0xacba3842, 0x9d7d8e2b,
+    0x1956d946, 0x84b51a6b, 0xe95071a6, 0x9aeaea5f, 0x4e5037f6, 0x9eef94da, 0xf57334d4, 0xa7c48301,
+    0x4b09a142, 0x37bb7877, 0x18d1cc1f, 0xbea1ed73, 0x03291b67, 0x55d59556, 0x30920bbe, 0xb12e1538,
+    0x457a7edf, 0x4a391278, 0xb9bb1c1f, 0x2f4e881e, 0x5fd07509, 0x5b1d71f8, 0x47c86bec, 0x9e5030b9,
+    0x2b078162, 0xb63c106f, 0xf100058f, 0xfefbe037, 0xd3b8c66c, 0xdd138c2d, 0xc88714fc, 0xedfe1ad9,
+    0x1fe5f1e6, 0x9d520663, 0x1f0609ec, 0x761202d4, 0x771bfab3, 0xba300938, 0xd49b7fa6, 0xf109bc7d,
+    0xfac04a2f, 0x18367adb, 0x9a0fbab2, 0x090afa4f, 0xc48808d8, 0x85b6ef5f, 0x4e8bc432, 0xaa027ed3,
+    0xeaa7aa65, 0x3280f821, 0x757683b8, 0x2a95ef3b, 0xccd520c3, 0x8be7d777, 0x012da32a, 0x4ddd1fd5,
+    0xa6d733e7, 0x9b1e13d5, 0x97383132, 0xaffd8d43, 0x9f803dd2, 0x9ff78ab4, 0x68bb623e, 0x7333a883,
+    0x3a03ead6, 0xeee00f6a, 0x644913e8, 0xfc9cda99, 0x2f0baba7, 0x7df85912, 0xc1999824, 0xdd674f7a,
+    0xd15cfe94, 0x6ad96391, 0xffdcf28b, 0x92166136, 0x3b989f96, 0x1d789724, 0xd3a9aa76, 0xde0f78a9,
+    0x7230b70d, 0xfe5f57f9, 0x54c097e5, 0xfa1d78dc, 0xaf82042d, 0x0c992032, 0xfd227076, 0x43ca88c3,
+    0x52cea74c, 0x67f0f350, 0xc25a1636, 0xc3d718ef, 0xfd8b263a, 0x25036b2a, 0x082e9721, 0x8c472d4c,
+    0xb61cbab5, 0x1a245bcb, 0xf60d0e53, 0xa54db9b1, 0x89504a8c, 0x0980636d, 0x07d82a8e, 0x89c3ede4,
+    0x9164ae28, 0x406802c5, 0x36361559, 0xbf640e54, 0xaca56008, 0x2decbbe2, 0x67b30acf, 0x0a6bbc7b,
+    0xb7eba959, 0x43c5841f, 0x1354bd46, 0x9bfb4e66, 0x631ccc6b, 0xef4ba61a, 0x0e1a2320, 0x4d0a1caa,
+    0x17cf93c7, 0x91a85cb6, 0xab3ac409, 0xf79aa9f8, 0x0a66f322, 0x0c720aad, 0xecf3bf22, 0xdcffdfa7,
+    0x60603f62, 0x8af5c0d3, 0x0be46765, 0xebe4b7b6, 0x3da97f9d, 0xef973b36, 0xab82437c, 0x0d94c734,
+    0x48757158, 0xa9ee2743, 0xd432f3b0, 0x5d0dcf66, 0x0377c8a4, 0xbc485670, 0x6f51e601, 0x2859083b,
+    0xf0607d47, 0x5b3f9808, 0xea269f9a, 0x6a459a01, 0xbbdb2e36, 0x817e334d, 0x6fce0c64, 0xfc987423,
+    0x1a252cf3, 0x9611dd73, 0xad4b5ab8, 0xd8a86a90, 0x0aa87392, 0x9e85e373, 0xc4020b72, 0x49f9a415,
+    0x460971e0, 0xb5bba9f7, 0x9c6f2685, 0xe5021f73, 0xd97273c0, 0x4aa85a22, 0x4eaf2a63, 0x40cd3e03,
+    0x1919cb6c, 0xade9cfb0, 0xab5537b2, 0xc8912093, 0x3fcdab15, 0xfdcc6926, 0x83456156, 0x84609734,
+    0xa649e323, 0xc7cb749c, 0x5357c907, 0xecf0432a, 0xaaaae66d, 0xda93e42a, 0x8ea5fd86, 0xee6b3c10,
+    0xc49de81b, 0x66143822, 0x5ad7c9cb, 0x4655e646, 0xca69a108, 0x475247cc, 0x94ae34b9, 0xa3dcb29f,
+    0x18385420, 0xd14fa02f, 0xd14888bc, 0x335986ba, 0xf2e64c71, 0xbc3aef92, 0xc60cc619, 0x55f4f837,
+    0x493b10c5, 0x6f719843, 0x30270e59, 0x0cabac31, 0x62c48709, 0xcd49fab8, 0x07d44a3b, 0x561a3f9e,
+    0x32abd870, 0x961801fc, 0x2204ba0b, 0x874d4cc4, 0x8a8df3e4, 0x917e8118, 0xba8b82e5, 0x3560eb4b,
+    0x015c194f, 0x101a6280, 0x053e92b4, 0x3c32d4cc, 0x0a907ba7, 0xadd10884, 0xac665a35, 0xad69e794,
+    0xe219d485, 0xe1ab1cf9, 0xd5643506, 0x8dba02dc, 0xf6683069, 0x8be75862, 0xa9970562, 0xecf9bdc0,
+    0x12cfe0bb, 0x2d47eeee, 0x2d5dc3d7, 0xd5ee7d23, 0x5178abab, 0x7cc79386, 0x18701146, 0x05d25510,
+    0x2499d239, 0x90842e7f, 0x0f891d9f, 0x6ecf7707, 0x396e9dde, 0x36b64d4f, 0x7bfe9ee7, 0x1a014c45,
+    0x69c49ece, 0x4d0e7e48, 0x44147a48, 0xe6ebc389, 0xd76e66d2, 0x7d8282c7, 0x4d93696e, 0x9ef82b67,
+    0x00000000 }, /* 10**00000000499479768050558757021055556766906608919775702826395384137465113540059\
+                         47821116249921924897649015871538557230897942505966327167610868612564900642816 */
+  { 0x00000000,
+    0x4000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d59010,
+    0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e747, 0xc497d56c, 0x75a17ac2, 0x86bdc900, 0xacb94a99, 0xfe2c59a8,
+    0x00000000,
+    0xf285b186, 0xe482300a, 0x3e26b15b, 0x58306b88, 0x2f9a10d0, 0x032a9781, 0x7085dc73, 0x1e3dc2e0,
+    0xf404a98b, 0xc0ac0e98, 0xce636f94, 0x5ae4fff7, 0x9506c9cd, 0x17abe82d, 0x217dce69, 0x713f270c,
+    0xd6e0afd1, 0x2de2843f, 0xf0548ca2, 0x84ee5509, 0x21be33c5, 0x9956c58d, 0x7b391ea6, 0x953376b1,
+    0xe9db9943, 0xe2a2f5bd, 0x51316536, 0x7442093b, 0x4cf814ed, 0x12e2ad91, 0x035f3b1c, 0x54e31b64,
+    0x77474933, 0x7e9c3547, 0x5344877c, 0xf89d72d8, 0xc647fe23, 0x15a4f88a, 0x860c222c, 0x6e7a0c9a,
+    0x7f6261b9, 0x54d027c1, 0xd5e00417, 0x5d78fa5f, 0x3d8ece78, 0xe0130412, 0xcea4d990, 0xc760b0e5,
+    0xe6ca40d0, 0x4cdfea1d, 0xd789ce73, 0xbb30d16d, 0x58cfedf7, 0x62c59a1e, 0x858bbb48, 0xb808ba34,
+    0xd20406bb, 0xccdbabd9, 0xb23573a9, 0x51b1c1cf, 0x3596a00d, 0xd7b92472, 0x59e68273, 0xfeccd9da,
+    0xaa9b4507, 0x625bbac1, 0xa901cdec, 0x7a947bfb, 0x1a962771, 0x7ae933ac, 0x82e7377d, 0x85523ec1,
+    0x1a0c3734, 0x8acbd055, 0x701d7e42, 0x16e37ccf, 0x5ad7ff4e, 0x6c79fcac, 0xfcea3153, 0x717a134d,
+    0x77540f4f, 0xe46761ff, 0x89546ec5, 0x965e86d8, 0x3621e5b6, 0xd6a63969, 0xea74daa6, 0x55b17853,
+    0xe729e26f, 0x91d02eb2, 0x179b0523, 0x035ac94b, 0xf9f029a9, 0x9fd7045a, 0xe2a3f4d9, 0xf7a7fc48,
+    0x33fc7ccb, 0x22177c37, 0x3e2ee291, 0x4723dc9d, 0xcd4ffeb7, 0x32b268b5, 0x1bc9634c, 0xadbb3976,
+    0x9d771fbe, 0x560f86dd, 0x59ab07ae, 0x8c831694, 0x128138eb, 0xbd8cba46, 0x562ac38f, 0xfbd62e68,
+    0x51e1de7b, 0x435e3f33, 0x92801f3e, 0x1da64160, 0xc88592f1, 0x4ff433bf, 0x3e3ec075, 0xbb0f6cf8,
+    0x01b1d0c9, 0x53407b91, 0x7a6c6ff6, 0xf8b1709b, 0x4763708d, 0xfa8d118f, 0x51d8570d, 0xf7bc78ee,
+    0xf69ee9b9, 0x7f82fc78, 0x864cfcd9, 0xbfc22399, 0x0a2cc315, 0xac635ed1, 0x4b34b576, 0x3deaf844,
+    0xa7aa385a, 0xef48e372, 0x875741ee, 0xf40698b0, 0xdb823c3c, 0xb7986c3f, 0x9f55e3f5, 0x922f38b8,
+    0x22a8b952, 0x0b945b17, 0x514c482a, 0x99bf2bc5, 0x8af94b8a, 0x1e1864c6, 0xd37bc9b6, 0x8c04e78b,
+    0x9347cc8f, 0x6e2ce26d, 0x992be713, 0xa7a4f2e1, 0xf02e4154, 0x636b30ff, 0x0e5625bb, 0x06ce5a72,
+    0xef3e3014, 0x99fa4201, 0x2dbf7987, 0x1866bde0, 0x3ea27e6f, 0xf1488460, 0xe355cf34, 0xef0e90bc,
+    0xc21ff5c2, 0x7a12088f, 0xdd77d3ea, 0x9490afec, 0x50706a3f, 0xe81659e5, 0x97f82fc3, 0x9e95b456,
+    0x86f9a8c8, 0x652b37d0, 0x6199f527, 0xed514835, 0x4900bef8, 0x8349119c, 0xf005f7b0, 0xead594f7,
+    0xbf326d9c, 0x0dd16cf9, 0x6a9e9a9e, 0x139e15fb, 0xc69574f3, 0x1654514e, 0xfb692de1, 0xbc82138a,
+    0xee90f011, 0xa06e5170, 0xd6e0cdfb, 0xde989a5f, 0x74e35669, 0xe8132901, 0x497c9658, 0x6da3427a,
+    0x1b8e2bf6, 0x9a2211e2, 0x7a2b419c, 0xa718c0bc, 0xd9c6564b, 0xb6e8d827, 0xc4c8e496, 0xc653b554,
+    0x93aada0f, 0x65f07f6d, 0x43a90051, 0x63ba6ef0, 0x0a60e8c5, 0xdd5aef21, 0xdf6337bf, 0x3ad2e676,
+    0x45f20209, 0x2d3e9f8a, 0x4011e006, 0x1c64deb7, 0xf629291e, 0xfd2109a9, 0xff324548, 0x8b25db5e,
+    0x22d9a732, 0xe1e3eecb, 0x676c9aa3, 0xc8fa0c3f, 0x28fbeab1, 0x594cb94c, 0x68e185fb, 0x838f4944,
+    0x7881154b, 0x70de5374, 0x540a31e2, 0xb49a4016, 0x44cae9dd, 0x87eda3b8, 0x98fedef0, 0x37b6456d,
+    0xf807ada7, 0x6cf74ad8, 0x7cba0ffb, 0x4c776a2c, 0x3e58a12a, 0xb9e62db9, 0xf2bd73c8, 0xaa22f7eb,
+    0xdb614c43, 0x25ba7098, 0x0b58a297, 0x28dcf59c, 0xf5b575fa, 0x70ef1da1, 0x6375ab1a, 0x60e3c286,
+    0xc3d7e737, 0x26287c99, 0xe209ac37, 0xf19fe86a, 0x46b69cc6, 0x46863e03, 0x805be97a, 0x8fa9168c,
+    0x2ba72ad5, 0x798256dd, 0x73855935, 0x826f4d4e, 0x90def80d, 0x31a030fa, 0x9f864a74, 0x684e9117,
+    0x7b65970f, 0x222939b5, 0x881b13db, 0x21ed9d26, 0xc428269c, 0x7f1900ee, 0xa3c65e2d, 0x669a0166,
+    0x9358d1e6, 0xf00fc0bc, 0xd7a6c301, 0x98258a10, 0xa12d8a9a, 0x918e4ff6, 0x93ce8c9f, 0xcd64ebd7,
+    0x4671b299, 0x80f61c82, 0xd7be6cfb, 0xf5b393f5, 0x528b11f4, 0xad04a72d, 0x1f5b0403, 0xe88a5356,
+    0x92d9cffe, 0x88f5e4f3, 0xf3c2696e, 0x3d248def, 0x41a88cdb, 0x900b88af, 0x801cec35, 0xf0d881a7,
+    0xebacf27d, 0xb4eb6229, 0x9dd1266d, 0x06d7a654, 0x2d517e88, 0x5b549f48, 0xc6095297, 0xfe4c7dba,
+    0xa386027e, 0x9b1344af, 0x74660ba1, 0xd3409fc5, 0x67b717d8, 0xdef2e260, 0xd08075c8, 0x81a0ebad,
+    0x1ee1501b, 0xca59f4ee, 0x31bb6a82, 0x9c9c52b5, 0xc2db8b68, 0xfa5712ed, 0xc7f1c365, 0x5479808f,
+    0x9998e97a, 0x946e147f, 0xa7d1aea6, 0xd7b4fba6, 0xb10bb81f, 0xac6f0170, 0x7e94434a, 0x16fac8f7,
+    0x1aa4f724, 0xc2cad6af, 0x4ae1ac7a, 0x2dd8313a, 0xaa1d2df0, 0xe0d1dfb1, 0x0ab011c5, 0x49a80880,
+    0x7a5285b5, 0xe67de83d, 0xa9867551, 0x591a30dd, 0x6be494cd, 0xb3070de5, 0x4dba0510, 0x5256dbab,
+    0x8a6580da, 0x407b47d1, 0xa82dfbc2, 0xc29b6f6a, 0x8f337452, 0xc2877ec5, 0xa31e4fb5, 0x269c8f2f,
+    0xaf1d55aa, 0x5005d25c, 0xf8e3d19f, 0x63168a86, 0x093e48a9, 0x1b7b382b, 0x58519915, 0xec84d554,
+    0x50f84736, 0x90630d19, 0x79352ac1, 0xb5245c72, 0x6485adad, 0xf2f3f651, 0x179ae3c3, 0x1214aa09,
+    0xd5b9d8cf, 0x62497513, 0xceae6686, 0xf96d0047, 0x58cf3c9e, 0xdec43ac5, 0x5db6aecd, 0x6c897ed9,
+    0x2ef2fa32, 0x2c54e1dc, 0x25c0a0d6, 0xe486d6db, 0x2114dec4, 0x8acaa381, 0x96e476bd, 0x7cffc731,
+    0xefc44fae, 0xa7d78d02, 0x83974ac7, 0x5275762a, 0xfeb099d1, 0x0489a19d, 0x6ae47690, 0x745dc0cc,
+    0x38014094, 0xf315b690, 0x8b143930, 0xb66e4089, 0x8272cf3a, 0x429fb52a, 0xd361744a, 0x027e4ecc,
+    0xdd285ebd, 0x9dce8e9c, 0x022628b6, 0x20dd8f1b, 0x028f5e1f, 0xf008333c, 0x245c8b33, 0x4d7fdd89,
+    0x4655677c, 0x0f6c17b6, 0x8de53a34, 0x0b1b53c8, 0x01358d26, 0x007b24e2, 0xb45f050b, 0xd44d725e,
+    0x35ea1b79, 0xfd80c5c1, 0x44e2e309, 0xfee92354, 0x977a7c22, 0x8a503224, 0xd36add93, 0x00311ca9,
+    0x55f07835, 0x08872db4, 0xae6dcf8a, 0x96601f49, 0xb8d2f0d5, 0x15da9f49, 0xb36570a9, 0x415968ba,
+    0x53370fe4, 0x3a81cf47, 0xa14afac9, 0x13b22639, 0x77abc395, 0x971e829d, 0xb64572e0, 0xfd5e3884,
+    0xc76ead06, 0xfcfdaf5d, 0x3a703e1d, 0x2d6a9f0c, 0x9e67c621, 0x8ff21fda, 0x83c30a48, 0x4b247cd2,
+    0x0de71d63, 0xf2703a63, 0x7853cbad, 0x6a52ffb6, 0x70e0a172, 0xbca6fcb5, 0x671e3531, 0x402cebba,
+    0x2dc6a412, 0x3f276992, 0xc6f3f2f6, 0x40fbaefa, 0x93673df9, 0x00847497, 0xba0e0141, 0xf77e8102,
+    0xa7c019ad, 0xa3af1eb6, 0x45d27514, 0x0cad9dba, 0x34ab636c, 0x127eea74, 0xa9b5b5d0, 0x99c613b3,
+    0x7c94011e, 0xbeb24ea0, 0x8a12ec53, 0xb3815097, 0xa70ebeea, 0x3c6e4997, 0x202a9aac, 0x5fc5aa4f,
+    0xda3db8c4, 0x411f5c2b, 0x48a0f46a, 0xb160d76a, 0x4bc68c94, 0x208b991f, 0xc7c4a516, 0xec2ff291,
+    0x3edbc3e5, 0x092f10dc, 0x7e59b4cc, 0x760c5190, 0xa26c9bd6, 0xe6ca1bc0, 0xdb8ffc91, 0xe6c00677,
+    0x91aa5ebe, 0x879b197e, 0x0a43ff2c, 0xd803f4de, 0x51ea721a, 0x009f6fab, 0xfa2f32eb, 0xdbda55a7,
+    0x2ac1b8d3, 0xaa02a112, 0xdfb15111, 0xca26d6b3, 0x93186cbf, 0x629bdbb1, 0x8fe49be9, 0x84adf73a,
+    0x07483c88, 0x7b05346d, 0x3c360dbc, 0xcee3c855, 0x81549bce, 0x2fa3ed35, 0x95313559, 0x7b94050a,
+    0x87092476, 0xece565e5, 0xdf1d2b2a, 0x8f55fa9f, 0xa7225b59, 0x3ef32634, 0x7bc69eae, 0x99423138,
+    0x9b91db42, 0x1ee191b1, 0x746bed3c, 0x65c64358, 0xd6a0f41e, 0xfc4cba22, 0xbf81da5a, 0x88fa2cc3,
+    0x5beb7b71, 0xb5e83c40, 0x18fd7d33, 0x3518b3d6, 0x3e9f916f, 0x9e091a28, 0x3e1056a0, 0x7b185bec,
+    0xe2126b10, 0x07c9db40, 0x9e85a113, 0x24376e05, 0xd874b74e, 0x1493e62b, 0x407810af, 0x4bd471e1,
+    0xb7f95dc4, 0x7bf47f97, 0xa3d87289, 0x63c66299, 0x505bd6f7, 0x31c217f1, 0xfd653ea6, 0xfcc2b326,
+    0x1d8cd8c6, 0x882ff398, 0x3f2a24ed, 0x1ed468eb, 0x4d669c1c, 0xa540fbc7, 0x4848640e, 0x9ae58a4b,
+    0xaf4a5486, 0x0b10b509, 0x06b59660, 0xfe9f0abb, 0x12fed3bd, 0x998986a7, 0xc7b20141, 0xb82eb7b0,
+    0xf6105926, 0x814931ec, 0x37c303b8, 0xf7533191, 0x57bb4705, 0x98151563, 0x4a12e561, 0x1083d82e,
+    0xc5973932, 0xddbd016d, 0xd279d3e5, 0xe1a435de, 0x6ef9bfb2, 0x205ca0d5, 0xa80a1ddd, 0x5a97373c,
+    0x962eb0bd, 0x17fd0ef2, 0x15f46858, 0x5fc640b0, 0xa458de53, 0x1039a5ea, 0x5cd10260, 0x0dab6552,
+    0x53841818, 0x54a5fecc, 0x95284256, 0xfdcb5337, 0x61c08f93, 0x1aacfae0, 0xfa601b6a, 0x29a5621a,
+    0x9b7e37b4, 0x3e35027a, 0x944c9d1c, 0x66bccd4b, 0x598e7665, 0x76951f76, 0x31536716, 0x62b7075c,
+    0xe0d847a9, 0x2763274f, 0x1289ef3a, 0x73477c86, 0x5a37e937, 0x89e862ff, 0xa37dbf81, 0x84281acd,
+    0xedc34605, 0x67f01900, 0x1288356f, 0xaf78f89a, 0x0e559223, 0x0101c410, 0x4f660b55, 0x2cdb2607,
+    0xf21245e6, 0xac740ed3, 0xb76cd976, 0xa7ff193d, 0xc8266756, 0x84645d54, 0x6aba9ab2, 0xd50582ef,
+    0x52e8026c, 0x6a52568e, 0x609d2a20, 0x51cffef0, 0xbf1cbf6e, 0xc778a206, 0x31df25ce, 0x1eb713d0,
+    0x2fb184ed, 0xdc919bb8, 0x64433e6f, 0x1c50e336, 0x75e83ea6, 0x47c943f7, 0x45b41649, 0x47265721,
+    0xeb367786, 0x15357ce3, 0xed5290c1, 0xf3c9a565, 0xd346379d, 0xea8f2a66, 0x12cf1090, 0x1761d9eb,
+    0x76092a5f, 0xc7f35c7e, 0xc99a35cf, 0xa8e3b056, 0x990511e6, 0x96820a6e, 0x0f71def6, 0x6d6f78d0,
+    0x55b2f556, 0x5e7783ea, 0x75f4a1f4, 0xba101cb9, 0x83fb2d83, 0x8901ba11, 0xd9d7e7b1, 0x8d795edb,
+    0xbc5cfa98, 0xa07c562e, 0x0455c1a4, 0xc401c3f9, 0xe774ef45, 0xc87d0ae0, 0xfb2969c8, 0xe8117d96,
+    0x34992709, 0x0a2745da, 0xf0a7d765, 0x168609ba, 0x55d6c34c, 0x683f5cf2, 0x9867acf6, 0xc3f2dbae,
+    0x5de1baf9, 0xfc75626a, 0x1007ece7, 0x5f089083, 0x4a0a70d2, 0x7a2c1e4c, 0x56a0a489, 0x5a2ef018,
+    0x48af1059, 0xda04bb1e, 0xf431a935, 0x5cb341c3, 0x982550fb, 0x8e4be42c, 0x5bf494e6, 0xac7a9263,
+    0x1e1c2934, 0x2332d269, 0x976334e8, 0x047ed4b2, 0xd70e8508, 0x527886b9, 0xb3213322, 0x0b4b8e95,
+    0x4fd0cc5c, 0x59bfe98f, 0xf8f2232a, 0x6f395bc9, 0xafcd4d61, 0x0e5ce89d, 0xd756db3c, 0x51884f81,
+    0xe7890980, 0x9d8c3230, 0x5a186e47, 0x66bf5b9c, 0xdca87bbb, 0xf52ba52a, 0xcae4a856, 0xa20dbb4d,
+    0x28fdb7aa, 0xbf4c7df4, 0x93504db4, 0xaa28237c, 0x7b55ea2d, 0xe6f1f02e, 0x1e8ffbdb, 0x5e995468,
+    0xea7e4e40, 0xf74ad240, 0x910a71d2, 0x397bb421, 0x63514fdc, 0x67be1671, 0xe0ac147c, 0x5f80d36a,
+    0x3875054c, 0x0bda27cb, 0xac33568c, 0xa73f3544, 0x09ebb085, 0xf8def9b3, 0x74efaec4, 0xb15533b6,
+    0xbd921136, 0xedf596c9, 0xd0bddd7c, 0x2e2123a7, 0xd8527c26, 0xf393d53c, 0xa7023b66, 0x92b63eb3,
+    0x91b3d443, 0x57967f6c, 0xd062a053, 0xeb8b4702, 0x5c8f3865, 0xaa07f525, 0xb53adb7b, 0x46281527,
+    0xd329e804, 0x6bd5e953, 0x938c580c, 0xd4552b52, 0x24c05d8a, 0x70b906d7, 0x12a08614, 0xd55536fb,
+    0x0958cec3, 0xff1a50f1, 0xd4720cf8, 0x97c72465, 0xd40b2d12, 0x361ec2ed, 0x0ec938a9, 0x99823859,
+    0xa8ce3748, 0x826fb906, 0xe0820fc4, 0x2327b254, 0x076ccbb6, 0xff5e2933, 0xb2647f87, 0xb2bb47d7,
+    0x57298dff, 0x3365b06d, 0xe0989ae6, 0x7daf48f2, 0xe3202676, 0x1e5592f7, 0xfae28e04, 0x16f7d11b,
+    0xf2db4f73, 0x171aa8f5, 0xde927c08, 0xa5bce6d6, 0xcccad2ea, 0x29e0ec1c, 0xffefc638, 0xd283b8aa,
+    0xfbfbf8dc, 0x1afad741, 0x4ef1a055, 0x07ca33a7, 0x5e6fb0e7, 0xcc41be5d, 0x4dc8dcd2, 0x5cb54edb,
+    0xb5782f4b, 0x76c374d3, 0xad974d97, 0x96fbbd15, 0x94e22044, 0x8a459d00, 0x7b665f68, 0xbfba6941,
+    0xe551fe02, 0x7ff41e75, 0x15b62c58, 0x43f25c70, 0xa48c7196, 0xf94ed262, 0x0f69da03, 0x359dead3,
+    0x325d01ac, 0xb8fe3126, 0xe75c1742, 0x93ff0072, 0x50339659, 0xb1217144, 0x0fe8bf58, 0xcdaf7569,
+    0xc634fcb0, 0xda1b8c1d, 0x2f747fca, 0x10404897, 0xf1640a35, 0x1e9a1390, 0x099d168f, 0x72f14a96,
+    0xc41af480, 0x9a615da1, 0x98c312c9, 0x90a5f07c, 0xf73071e4, 0x424e0936, 0x2785efdf, 0xd0c7ee64,
+    0x9a5faa2d, 0x73fda504, 0x408f0940, 0x8cd984a5, 0x9cdcf2ba, 0x13ed0e03, 0xa4ec279f, 0x5241bcac,
+    0xba128224, 0x93c6d907, 0x12237f23, 0x453b6d5a, 0x4e25e6f7, 0x5fddfd3e, 0x37f8677d, 0xa86405c5,
+    0xdf3afd44, 0x6c66ef98, 0xac6a2ef4, 0xd5fc7bf3, 0x1845e92f, 0xf825be19, 0x6dbd47de, 0x2cb60cb7,
+    0x20cbf49f, 0xdd9135eb, 0x2aaae2dc, 0x48cde2ec, 0xbaf1f225, 0x56565011, 0x567ba2fa, 0xa0d2ee2e,
+    0x658dadfa, 0x74b62715, 0x098137ca, 0x7e6d778f, 0x97df6ede, 0x7ecd88ed, 0xc1dd74d8, 0xd5de4218,
+    0xc7242728, 0x1def69db, 0xb0cc6989, 0x1196a779, 0xcc14d943, 0xc3bd4ec6, 0x3d1be4f1, 0x7b3bacbc,
+    0x91ed0faf, 0xd116f84a, 0x26de2f5e, 0x2dd05a09, 0x6736532d, 0xf9d8f0c2, 0xfb10af6c, 0xe1a2c17f,
+    0xa56c98ea, 0x7af21aa8, 0x56751259, 0x1606d1b7, 0xb3da5eaa, 0xb7bf7896, 0xc11291fa, 0x397bd89c,
+    0x435bb4ce, 0x8f9b42a5, 0xef479077, 0x51451da5, 0x9a9bb719, 0x2e2d6ff4, 0xc5b7866f, 0x8dfacfac,
+    0x1d4eadb1, 0x73d53f57, 0x9194e11b, 0x183c0771, 0x71ac4ae9, 0xa8a445ad, 0xe1f0efbb, 0x9b91dddf,
+    0x0e8cab84, 0xabd985ae, 0x5f5bf236, 0xe44f251e, 0x12921058, 0xc8539f11, 0x1e3fdcdd, 0x40f5160f,
+    0x6fc996de, 0xb41d1dd2, 0xf221dcc0, 0xe2e4be12, 0x59931c2c, 0x9cd7c370, 0x8501072a, 0xbf3ae50e,
+    0x6aad6d36, 0x9db06f61, 0xb675363e, 0xe3a9e982, 0x6db76792, 0x20235d8e, 0xfd7c45ce, 0x15483bf5,
+    0x0f242d5d, 0xb47601c1, 0x7a38c568, 0x830026da, 0xa709c885, 0x1f703828, 0xb30d939a, 0x8ab9ba41,
+    0x7b0f1d79, 0x139dd492, 0x32403113, 0x3493a3c1, 0xe7daa8a5, 0x0b663b3a, 0x0ca942a6, 0x87f81eae,
+    0xb23ca184, 0x8d676a5f, 0x256c8285, 0xf0da0393, 0x403c177c, 0xe152049f, 0xd4a25d72, 0x92461292,
+    0x5c019342, 0x9376c9cc, 0xc7977f22, 0x49ab4f16, 0x06df06d0, 0xd1d6fe78, 0xbad03eec, 0xaf894d45,
+    0x00000000 }, /* 10**00000000249739884025279378510527778383453304459887851413197692068732556770029\
+                         73910558124960962448824507935769278615448971252983163583805434306282450321408 */
+  { 0x00000000,
+    0x4000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808,
+    0x2e7859d0, 0x6650fde9, 0xdd51f3a3, 0xe24beab6, 0x3ad0bd61, 0x435ee480, 0x565ca54c, 0xff162cd3,
+    0x00000000,
+    0xf92b85b8, 0x64186441, 0x608c6981, 0x2012f45a, 0x5ad492f9, 0x762b4325, 0xc8384133, 0x197fc2f0,
+    0x6a9aab29, 0x1e98a5ed, 0x05de787a, 0x41733a50, 0x8824e813, 0x068d240e, 0xe141be93, 0x00881e90,
+    0x9e3e3f33, 0x26f7b6d7, 0x38e40423, 0x82d37cf3, 0xafad95a9, 0x27c5c51a, 0xd0def239, 0xb91fd685,
+    0x878d80fa, 0x5dd19ee2, 0xb9c63345, 0x247f8faa, 0x8d84315a, 0x65f6e10e, 0xfa6a12d2, 0x5c2107a0,
+    0x382f8563, 0x2b27a30d, 0x802fc754, 0xc922258c, 0x34d043f9, 0x5bcca411, 0xaeb30027, 0x467a4705,
+    0x415b2748, 0x0767cae4, 0x01096350, 0x8933042b, 0xec8253e9, 0x36ea57fb, 0x5d8d947e, 0xf3ee4204,
+    0x66d483d2, 0xc8ccf0a8, 0xf2ec5cbc, 0xcf2ec895, 0x1273d248, 0xe384b6c6, 0xec36c4fc, 0xe3b8656c,
+    0x154037e6, 0x57b91b6f, 0x39d63f6d, 0x11798f36, 0x48f15132, 0x571d05ba, 0x04cc16f0, 0xc0dc2e99,
+    0x4d1261b2, 0xecc02e6c, 0x6d9b89df, 0x4daa07c8, 0x9b62a4bf, 0x6a096ed0, 0xd502c497, 0xb689934b,
+    0x96bba269, 0xe19d310e, 0x9ad1fc3e, 0x90178b2c, 0xde4c7e09, 0x5a5ac53f, 0x0faa5ac7, 0x07e74974,
+    0xa237987d, 0x8830ed2a, 0xff42f9fa, 0xade93df7, 0xe4a11303, 0x646ca175, 0xf138c97c, 0xc5c4745d,
+    0x94e18d7b, 0xb5013fe8, 0xd8385bd3, 0x478442ea, 0xd2755149, 0xdc948761, 0xc48b4b5f, 0xd640b519,
+    0xe8ed2fed, 0x13434ac0, 0xdae3c062, 0x40440637, 0xe95d65fe, 0x88a4b5a5, 0x038ac782, 0xfb402ade,
+    0xf62451a2, 0x886ee9a6, 0x0bf19dbb, 0x5db81315, 0x0c0b5aba, 0xa2f0d998, 0xc9335238, 0x1041c21e,
+    0x305f5b16, 0xa0acde06, 0x5847c8e0, 0x24731ee9, 0xe3d6579e, 0x04c981e2, 0x75ca37f4, 0x51ab6217,
+    0x91368097, 0x10fe35bc, 0x788aebdb, 0x749218fc, 0xff474d57, 0xcbe52e0b, 0xbaae10b7, 0x9d0fa2ad,
+    0x64063993, 0x9729122f, 0xb4dd3629, 0x65d85686, 0x2beef8b6, 0x1dc453a3, 0x0156e626, 0xc2c36ce4,
+    0xd32c301e, 0x389c0462, 0x4d3a9496, 0x51f35a8d, 0xdd222c94, 0xe94948dc, 0x0f2436be, 0xf7b6bc23,
+    0xea415eb3, 0xe65ecd8a, 0x6d9e61d9, 0xdb9daa20, 0x97d07c12, 0x81867eee, 0x902e3efd, 0x98e1e0a0,
+    0xae60dea8, 0x568c8d8d, 0x629b9c72, 0x6e1f0127, 0x73bbe63a, 0x79db15a3, 0x41932d38, 0xcdd5346b,
+    0x0f0e2caf, 0x3a491d46, 0xe3249b14, 0xa6b10ca2, 0xafcee3ae, 0x66825179, 0x7ce0618e, 0x9711b1a8,
+    0x141546bb, 0x996b6051, 0x120ec4ad, 0x6fdd3e90, 0xd0172f52, 0x831ca89f, 0x9aa3f75c, 0x169bc948,
+    0x805a0a2d, 0x4d19b14e, 0x1a16a21a, 0x2bc741f8, 0xbab0292b, 0xf8beba3a, 0x809167bd, 0x10048c22,
+    0xe6fba721, 0xd624acf9, 0xfc173c05, 0x8a775304, 0xf1908222, 0x65372c62, 0x63643c0b, 0x994896f4,
+    0x009b8bcf, 0xe87a2bac, 0x652f6111, 0xdf387091, 0xf2acd714, 0x191fb59e, 0x9991218f, 0xf3537ae8,
+    0x77109012, 0xa79c0149, 0xb41682a4, 0x4468a2cd, 0x20913432, 0x020c108b, 0x7e02cfa7, 0x8ae8921b,
+    0x7e91da99, 0x6237e2e6, 0x72768e70, 0x5764b8a6, 0xa773b702, 0x4c9e1d2c, 0xfe880d44, 0xd26dd789,
+    0x8f401020, 0x054c0f2d, 0x9ce46f26, 0xf13f9e95, 0x9ed8de85, 0xcda976c5, 0x922d8077, 0x678e3334,
+    0x33bae064, 0x4056511f, 0x8233ed26, 0xfd9989c0, 0xba5699d5, 0x36e57346, 0x2e9939a3, 0x19da8d92,
+    0xfc5c643f, 0xadb822cc, 0xd6d9963c, 0x2815dd38, 0x7d36588f, 0x5f0d593a, 0xd6ab7683, 0x66c9dcb1,
+    0x0d1e5e15, 0xa5cd3d4a, 0xbbbb2f83, 0xd995fa57, 0xb4807f99, 0xfb6a18fe, 0x783a93b6, 0xc8f906db,
+    0x2abe7108, 0x4304d7ad, 0x26c47bf9, 0x886b9fd9, 0x61cc6721, 0x29673a02, 0x828c899f, 0xf89993d5,
+    0x5dacc701, 0x49c864f7, 0x0d2653f6, 0xcf595bae, 0x0ac562d4, 0x76fc0ec8, 0x8ae7dd61, 0x4fe53722,
+    0x7b66bd0b, 0x05e8521e, 0x2c7c072c, 0x4d4a6561, 0x7e588cb9, 0xb664b061, 0x22455173, 0x24ab8525,
+    0x49fcbadc, 0x672ccec3, 0xa34fa3b1, 0xcecfb00f, 0xb9e86737, 0xdd1d9e57, 0x41773035, 0x03838120,
+    0xb4cd18b8, 0xc4fd81d7, 0xfd68cc05, 0x25404563, 0x92b60515, 0x22a20fe6, 0x6fa09d83, 0xea7a7c88,
+    0x36a7bc45, 0x513bb3be, 0xf245d3c0, 0x7396898d, 0xad0a3467, 0x770c3ea7, 0xa851542a, 0xc1d7bd31,
+    0xb9e00311, 0xba1c32e9, 0xcbbd2e56, 0xca14adf8, 0x80107536, 0x474fc7f0, 0x13f106a1, 0x5e9dd8a4,
+    0xb164769b, 0xf42d5966, 0x991c0e97, 0x6832c102, 0x5a047dc5, 0x71ace154, 0x8f01718c, 0xe771f595,
+    0xd0c1b1ac, 0x50874473, 0x0a377be5, 0x201621fc, 0x0c8d9145, 0xda139dc1, 0x6d23980d, 0x95ce541b,
+    0x5d7fcdf9, 0x63caeb29, 0xcf29e5f4, 0x8da7d113, 0x9920e26c, 0x2c199ede, 0xd9481562, 0x4bf7cceb,
+    0x3a34379f, 0x26fc8579, 0x4c7f56f4, 0x843d1790, 0x3007c0ca, 0xe41a9d95, 0x7dd0a1de, 0x3fc00078,
+    0xc78e2022, 0xf954b145, 0xe46c4dac, 0xaf5012be, 0x093f0b20, 0x07158346, 0x8a474db8, 0xa3d5f1fa,
+    0x12b18078, 0x770853d3, 0x1707b8c0, 0xde31bd71, 0x662105a8, 0x9d29ace9, 0xea9133c1, 0x2adb5190,
+    0x84b54aa2, 0x0e20c6bb, 0xa9949e25, 0xbcebfc47, 0x2bc08dfd, 0xae7e1492, 0x7f521cfc, 0x957856e5,
+    0xa247709c, 0x38807bcb, 0x8d107a82, 0x63e69261, 0x12a47ef6, 0xdfa960d8, 0xc1a6033d, 0x0f36f160,
+    0x6d5d5cf5, 0xf77baf31, 0x7728b6a2, 0x924b6760, 0xe281ebe9, 0xdf0e3dd9, 0xa26b95b4, 0xba6515eb,
+    0xbe5da6ff, 0x3d3ab29f, 0xe110965a, 0x2d7b9335, 0x841ff426, 0x1caac3ce, 0xda80d2c8, 0xee34107a,
+    0x0d9dee38, 0x21943f33, 0xb1b690a2, 0x08c6c5d8, 0x39d38d4d, 0x0fdd3e35, 0xbc07fe59, 0xa4b2861f,
+    0x29b4186d, 0x2b4556f7, 0x80c86ceb, 0x7a1c56cb, 0xb3584220, 0x87d53239, 0xb0a85fec, 0x0aaad49b,
+    0x1cfe2fc2, 0xe08c78af, 0x1c86abb9, 0x53376fdb, 0x43a8d578, 0x5913e29b, 0x09a44207, 0x7f713c1c,
+    0x4a4b50c3, 0xe463496b, 0x1b16a17c, 0x5e993e16, 0x414a68d0, 0xd39faad3, 0xc756bff0, 0x07f298ee,
+    0x94efc0d7, 0xe0d7e55f, 0x9a11a196, 0x9042892b, 0x9d671270, 0x3646fd10, 0xd4f4a7b6, 0x158efc65,
+    0x6eda9177, 0x031700ca, 0x3bf52176, 0xc0677885, 0xce88bd0b, 0x4ee570d1, 0x531e2742, 0xb2e8beb5,
+    0x476c931d, 0x45adf9a1, 0x405ee7bb, 0x071367df, 0x035aaae1, 0xdca02842, 0x02854d2b, 0xef6cf7b6,
+    0x2ce9d4e4, 0xf6a95527, 0x05c55e82, 0x9cd34006, 0x612266dc, 0xe5e7e3b7, 0x15e75af9, 0x6f26e4c9,
+    0xd05ae7b2, 0x077d9184, 0xba5cd318, 0xfdcb56fd, 0xddf9bb3c, 0xadec402f, 0xc7c33e30, 0x6afdfef7,
+    0xd51ab9ef, 0x70d05666, 0xa3746ffe, 0xa0f3b6dc, 0x09a478b0, 0x6fc08961, 0x0d602a4e, 0xde3cc84f,
+    0x3dabeb66, 0xdc71dd79, 0xc29cf11a, 0xc45b719e, 0x0ebdadcc, 0x4069ffe7, 0x032f7eee, 0x73bc8a94,
+    0xa9ecdfca, 0xc6a23d59, 0xcee2f661, 0x02892375, 0x8615c746, 0xa1bb891c, 0x4b4f3690, 0xade870eb,
+    0x06aa51ed, 0xf9fdc11c, 0x17db9998, 0xf8be02b4, 0xcbaec99c, 0xcc461687, 0xbb5bf80e, 0x7048b393,
+    0xe0b9d2ef, 0x5dc73ac3, 0x063e3cab, 0x80b3e134, 0xb397471e, 0x6320c3da, 0x852513a4, 0x3863eae7,
+    0x40889f2b, 0x702545ed, 0xc4571e5d, 0x9b71db5d, 0x10ffb664, 0x74ece8c1, 0x23ad6458, 0x79f52b06,
+    0xeef727d9, 0x19487d9c, 0x71e9131d, 0x340662aa, 0x17a3d438, 0xb906436b, 0x1a8bb1b2, 0x09305f4c,
+    0x893283d2, 0x0b07e011, 0x4f2634d5, 0x78890a58, 0x61edf41a, 0x31762f9b, 0x0f609997, 0x91176f20,
+    0x39b31ca1, 0x7043002b, 0x91837333, 0x7d9be50e, 0x4480e9ef, 0xd27c37bb, 0xb0aa4dd0, 0xd58591a3,
+    0xd6888b89, 0x95cb6094, 0x88d4f9e5, 0xb6a563d0, 0xfe029f01, 0xc5d815a1, 0x564af3e3, 0xeef6f981,
+    0xcf0bf332, 0x522a5111, 0xdc46533a, 0x409f97ca, 0xc59110ac, 0xfa1845b1, 0xc4b4ea43, 0xa3f82030,
+    0xe81c03b7, 0xca0ac314, 0x0b677b0a, 0x2dfd406c, 0x3dd90f18, 0xd386b1b8, 0xb6d8ec71, 0xf2bb18e5,
+    0x46d5a478, 0x5bc313e5, 0xcbffc742, 0xbad65f6b, 0x1e58caab, 0xdf03bcbd, 0xb23aca3a, 0x750f97fe,
+    0x04a626d2, 0x76e0f6af, 0xa98e35f7, 0x956bfc53, 0x49e38cb0, 0x62068414, 0x1cb465b7, 0x2f00a20e,
+    0x6f564827, 0xb9b36f52, 0xce333214, 0x7dade164, 0xa889c333, 0x05a455e1, 0x4c8ca03f, 0x047e07b3,
+    0x7fa59797, 0x6c67475a, 0xbfb0e29a, 0x522a8958, 0xe3bcaf7c, 0xb63b14da, 0xfa551b3e, 0xa86a3f3f,
+    0x26373785, 0xf7e470d8, 0x6bb11440, 0x60486452, 0x3058bf3f, 0xff414ffc, 0x1a5c7ef6, 0xf17fb36a,
+    0x788fa58e, 0x6da082fa, 0xa725b742, 0x30d862df, 0x7b865475, 0x12d37418, 0x9c6369c5, 0x4e67dede,
+    0x2b2db6ed, 0xc3b66baf, 0x78e585b6, 0x3e382f22, 0x3e2d7881, 0x5f434557, 0x279e7b96, 0x2734c76a,
+    0xe731f73f, 0xcc10f643, 0x8f84a620, 0x5448e65b, 0x18200da6, 0x8a4aa998, 0xb611ada4, 0x9b1d382c,
+    0x7ba964cb, 0xd57b12b1, 0x1b048fa7, 0x636ff783, 0x5d5eb7fe, 0x97d7c83e, 0x5485db76, 0x8569cd35,
+    0x0b725f7d, 0x1e6f2f3f, 0xfea90588, 0x87ebc793, 0xb203bb83, 0x79a8a9ad, 0x4c3f8719, 0x90b97e90,
+    0x1a2299db, 0x74d1f8fa, 0xa9df6c02, 0xa32a7403, 0xe3953aa4, 0x85546279, 0x474be42c, 0xf5cec092,
+    0x1ee947b4, 0x542e72d7, 0x5f434019, 0x24139d9e, 0xcc87eaa5, 0x18f1fa8d, 0x49c0d01f, 0x4eb3b112,
+    0x0b03cb5b, 0x8614afe2, 0xf3c94515, 0x06b24391, 0x5cd0becd, 0x71b4f973, 0x7f6fe975, 0x14ba1dbd,
+    0x0236e2ef, 0x44a9c0f6, 0xd5b4ed7b, 0x009d746e, 0xec83d683, 0x673cc89b, 0xf4456e7f, 0x8163f5ff,
+    0xe50e091b, 0xffa0fa0c, 0x05d7b8a4, 0xf8715e08, 0xdb258c03, 0x45dd6a82, 0x20cd35f7, 0xe475786e,
+    0x92eb6593, 0x14988c6f, 0x7a778bea, 0xf1b842c2, 0xc6a978d0, 0x8252445b, 0x64e9dc62, 0x2f55c312,
+    0xf5916922, 0x0686c706, 0xaf950533, 0xad954267, 0xff495200, 0x576fa839, 0x6ebeea99, 0x2680f83f,
+    0xead9008d, 0x6a52d99b, 0xa12cce95, 0xc76b3c5f, 0xd6bc8231, 0x36855625, 0x37f8f257, 0x0ca2b7e3,
+    0x74be663c, 0xea770987, 0xdafd5efe, 0x04f8589e, 0xe53b24a7, 0x5107945b, 0x1e9122e3, 0x51545414,
+    0xd24c809b, 0x24f762cf, 0x95c3296c, 0xbb647413, 0x0177c45a, 0xc0ec207f, 0x01011a7a, 0x65bbe8c4,
+    0xa81ab135, 0x383dd1c4, 0x890499c6, 0xda0ce6bd, 0x3447071c, 0x2b70324e, 0xe2b83e8d, 0x23796bf2,
+    0x6f791a03, 0xb54c1df4, 0x761a0966, 0x135d3989, 0x9f49bda0, 0xb43cd525, 0x694ac877, 0x91aefc15,
+    0x3edb603a, 0x21ab163b, 0x4711f70f, 0x938abacb, 0x767a206a, 0x2c1a6a3a, 0x85ed6498, 0xccd8a6dc,
+    0xd9a35d78, 0x23bd74e5, 0x615c2b7a, 0x296012fd, 0x391bde93, 0xbb3eb5bb, 0xa88a0baf, 0x8472fccd,
+    0x4ba29a9f, 0x17f79c4b, 0xbdf0927e, 0x7de495da, 0x30d12e77, 0xb85be5d5, 0x2cb3cda1, 0x1963314d,
+    0x7408279a, 0x99352ea7, 0x84ed01d4, 0x5e30560e, 0xe03458e8, 0x31e94919, 0x5ffa2cf9, 0x10b5d4e9,
+    0x0dba5e7b, 0xe09124d4, 0x9e987c54, 0x3c16742e, 0xa5e85f3d, 0x474b8ea0, 0xa99c7708, 0x53971579,
+    0xd03b3400, 0x88c9a243, 0x7b56b3fc, 0x721f7ff9, 0x6de2c03b, 0xa7e159c4, 0x6f5722bd, 0xda416b4b,
+    0x88ac3ff7, 0xd470766c, 0x0895db17, 0xbff93ac2, 0x860fd882, 0xe281fba0, 0xd2bc9e20, 0xdc1a2609,
+    0x747b75d6, 0xb23d1d77, 0xf0aea154, 0xc02ae2b9, 0x6e2f15ff, 0xecc266e7, 0xc24dcd74, 0xca4829f5,
+    0xad056340, 0x5ecc3cf9, 0xdbbbe31c, 0x989515c1, 0x6505060c, 0xb65cf2f9, 0x5a73c4b8, 0x8fc9b3b8,
+    0x91e474e7, 0xaa535994, 0x4627c87f, 0xce7d140c, 0xbcb212e8, 0x3eac87e6, 0x19094d78, 0x0544c791,
+    0x6b95f95d, 0x8ad9c5d2, 0xb1980b99, 0xc3b19467, 0x5a0e7bb4, 0xb78ef642, 0x3ae3066b, 0x10d3cbf1,
+    0xf316496d, 0xc5c9a16d, 0x571458e5, 0x65cbb1f0, 0xa782db40, 0x89639476, 0xf4cade5c, 0x3eebf64a,
+    0xa56ad9a1, 0x7d477c09, 0x6f76e56f, 0x95e4f8e4, 0x7960a5af, 0x01ae247a, 0x516a2da3, 0xb7b24b91,
+    0x79976770, 0x54411b94, 0xa7ad01dc, 0x45c7446f, 0x036d7c24, 0x74b96cf3, 0xb4512f5e, 0xcbe89aaf,
+    0x8f9b8eb4, 0xe6f4f8cc, 0x7688ab12, 0x2826c3df, 0xc47666ed, 0x30c984e2, 0x020b3612, 0x3258302d,
+    0xd63e885f, 0xd0b9785e, 0xe106cbad, 0x63146a2c, 0x4a88fba9, 0x5207dfee, 0x056db088, 0x2295c6dd,
+    0xfa645f3b, 0x7f907ad0, 0xbe41ae4a, 0xa5d4ac64, 0xd7cdf4c9, 0x7a6302e1, 0x4b0b8919, 0x8af30a12,
+    0xf6923c41, 0x3ad0726a, 0x8670e5c3, 0x3698ef28, 0xfad0ebe1, 0xe13464f6, 0x8234c7ff, 0xaadfac1f,
+    0xca6435f7, 0xf58e9c1c, 0xb725ecd7, 0x9ec00650, 0x187061f7, 0x5227825f, 0xc45e919f, 0x5aa44304,
+    0x7c3a5965, 0x36cb4e0b, 0xfdce34a0, 0x2cfb361e, 0x4469a4d1, 0x983ee8eb, 0xd10eb98b, 0xf5d2ea7c,
+    0x31c23e34, 0x1041bcaa, 0xefecc002, 0x3ab1c029, 0x2610515c, 0x35cd6088, 0x0814d51d, 0x1d62f49e,
+    0xa4abb4f6, 0x9345c358, 0x939434a0, 0x7ea0d03b, 0x351c2dfc, 0xeb1c9808, 0x0a3b0b68, 0xfacfc05e,
+    0xa8a7547a, 0xc4d95d02, 0xe25c531d, 0xb48fc253, 0xd4fcc6aa, 0x5f1efba6, 0xcedb7f53, 0xcd8c4049,
+    0x53194f3d, 0x532206cd, 0x240d5f00, 0xe4600792, 0x23cca786, 0x5d90c003, 0x7d334e6c, 0x97954aad,
+    0xb8af0b0d, 0x8b7863e3, 0x935c15de, 0x38ae8455, 0x7ffdfb9b, 0xf3cc9512, 0x91c75b4f, 0x54071dc1,
+    0x27c71f6e, 0x33a860d4, 0xc11697a3, 0x9eaa393b, 0x5ed0fec1, 0xa051aa1a, 0x0b69e185, 0x17a867dc,
+    0xf21c9819, 0x385c220c, 0xe8327902, 0x236c2611, 0x5c3487b0, 0x799a902f, 0x73a5837a, 0x6d6b8fc0,
+    0x024c471c, 0xc45e6f13, 0x6fb2676d, 0x4d9391a4, 0x67821272, 0x8d466253, 0x02d5cee8, 0x7e2fa94a,
+    0xf878ab5a, 0x44009e78, 0xa26ac7cf, 0x00b47528, 0x59308196, 0xf5953f46, 0xff386e71, 0x6aadd5ff,
+    0xe87385ee, 0x061dbfca, 0x9ddeeaf3, 0x4fa1ea2f, 0x6fe0034d, 0x548577f3, 0x1de1fad7, 0x054fcd93,
+    0x6b00603e, 0x4d0ae51b, 0xb3905d5c, 0x0e6ea7b1, 0xc881e671, 0x3711724d, 0x79edd330, 0x4b6c4538,
+    0x12745c8d, 0xc9deeb9a, 0x38d40f16, 0x998fc713, 0x90985e87, 0xdc603f46, 0x1af0b4ab, 0xf11ebdcf,
+    0xe66ffffd, 0x4cd9a3dd, 0x6b9788e8, 0x493cceff, 0x1c7e817b, 0xc653a5aa, 0xdfca123d, 0x7ba0eb7d,
+    0x39e2d9c9, 0x4ce4a208, 0x5095b44d, 0xdb8b1680, 0xb2716481, 0xf89d3833, 0x108eac84, 0xd8b6e5b3,
+    0x3bdceabb, 0xeae35d97, 0x1c1aa264, 0xe046155f, 0xc27aba07, 0x3ec7f2f0, 0xd3534551, 0x769e6eb7,
+    0x00000000 }, /* 10**00000000124869942012639689255263889191726652229943925706598846034366278385014\
+                         86955279062480481224412253967884639307724485626491581791902717153141225160704 */
+  { 0x00000000,
+    0x40000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56404,
+    0x173c2ce8, 0x33287ef4, 0xeea8f9d1, 0xf125f55b, 0x1d685eb0, 0xa1af7240, 0x2b2e52a6, 0x7f8b1669,
+    0x00000000,
+    0xb2969735, 0xade623f9, 0xefd53ff0, 0x6372a25d, 0x759692f0, 0xecac1227, 0xc82e51b5, 0x5682764b,
+    0x2553581c, 0x48405169, 0x1de6f8c8, 0x93111132, 0x8105cf54, 0x4bdea5bb, 0x3f60ac3a, 0x590ea1a5,
+    0xdec27f8e, 0xd27499ac, 0x3d870ba5, 0xb5523d09, 0xccd2fff9, 0xa9e98f80, 0x07405ac5, 0xc7aa22c4,
+    0xc1747c3b, 0x43156e32, 0x6dd2be27, 0x32b4ae8b, 0x1b8d789d, 0xa4a311cb, 0xec60b37f, 0xd754f114,
+    0x470fd872, 0xcbca0f23, 0x030dc791, 0x80b7bb86, 0x87257a1f, 0xa2c448e5, 0x6af71ed6, 0x66c4de9f,
+    0x5317fe47, 0xf7ee1b9f, 0x9c0a16c7, 0x0cadaa7b, 0x1e5a93be, 0xe124b784, 0xedd736fd, 0xb657bac7,
+    0x0eaaca4e, 0x2940af69, 0xb84df797, 0xc788ac16, 0x95b639e2, 0xf690af70, 0xe5e55388, 0xef4d64a4,
+    0xcde59e1c, 0xc9df7e73, 0xad23df95, 0x12a4f2a6, 0x2a397591, 0xdede7dc4, 0xa23f740d, 0xdeeb53a0,
+    0x48255453, 0x2699f518, 0x070dc511, 0x7387c2e9, 0xd8e95b3c, 0xc0cf04c1, 0xd21e591c, 0x48a07d96,
+    0x45440198, 0x57086a86, 0x13275387, 0x840b0c51, 0x4d2fca39, 0x809fc3e6, 0x124fe6de, 0xe33ab4c0,
+    0x8bb3ae1e, 0x0112f785, 0xdfcbc94c, 0x4c95dd72, 0x11dd551c, 0x4af6182c, 0x7eb0156d, 0xea0a6e42,
+    0x70a814fd, 0xfe8a8fa5, 0x3d2c1f5b, 0xbd2ad8fe, 0x3d239538, 0x9c7d90f2, 0xad8c5fd7, 0x215b667d,
+    0x7909d6c4, 0x4ef3188c, 0x53dca637, 0x33963afb, 0x33dceb5a, 0x96987c96, 0xd469b153, 0x76e7ccac,
+    0x9a91d3ff, 0x1413f6fa, 0xf1cb0876, 0x5abe485e, 0x24510811, 0x051b6ac4, 0xac0d9c2a, 0x6d198de7,
+    0xeab68084, 0x67274cd9, 0x7bfa70e0, 0xc6d03876, 0x4a4d486b, 0xe76b1f95, 0x24ef8412, 0x352a3451,
+    0x2640942d, 0xbf6d1212, 0x1acecc20, 0x6e7edaf3, 0x18d9e00d, 0xcaac4b78, 0x563f01ca, 0xd1a9e0a2,
+    0x59b998bf, 0x180e435b, 0x4b93eb1c, 0x75eb0e16, 0x34043a92, 0x97024235, 0x087e0345, 0x1641de75,
+    0xd2865ed7, 0x6408cb10, 0x22cbafda, 0xec8fcee2, 0xe6fcddf2, 0x5376edf6, 0x25619113, 0x7ca782d4,
+    0x3322b7ce, 0x8316756e, 0x104f5d6b, 0x3af62682, 0xa5a976b8, 0xd9768381, 0x66fbff9d, 0x2b1cd10f,
+    0x3465aeb4, 0x1b85b93e, 0xfd1d68ac, 0xf4ff9226, 0x4108cdb6, 0x714e27f6, 0x9f745d54, 0x412510d9,
+    0x82e8c9d7, 0x250f8f34, 0xb7890c27, 0xe0b3f28e, 0xb4104127, 0xad49d3cd, 0x8dea6a28, 0xddd212ac,
+    0xa87611f0, 0x8c0a3f4e, 0xc180b74f, 0xc9ae0164, 0x426942b1, 0xd6f5610f, 0x1174d6ed, 0x4a54c6e7,
+    0xf6ae7486, 0xfc56bbd6, 0x6d265055, 0xbf8cfe71, 0xd24d1b98, 0x948835b8, 0x58b11932, 0x7d803a28,
+    0x6c084daf, 0x7e871776, 0x52e49a97, 0x98c40925, 0xa6c44f8f, 0x0a2fc237, 0xce701c3c, 0x214531b2,
+    0x592f6b3b, 0xf0632523, 0x8dc0a42a, 0xca21d8fd, 0x48c2efd0, 0x8a796939, 0x98bdc84a, 0xcb22323e,
+    0x2d4b9735, 0x8a0ef89a, 0xd7be1ad6, 0x39b9db24, 0xd7232ec8, 0xeaa3a27e, 0x00e956e0, 0x3d4c51ec,
+    0x4a897f95, 0x15ceb95e, 0x064b781d, 0xc3893e11, 0x40197e69, 0xb4cbd1c7, 0x9a1143e6, 0x7d6b8fed,
+    0xab2a5639, 0xc4444be6, 0x1a4443ac, 0xcf05eac5, 0x4e6f216f, 0xae662643, 0xd93b9ce3, 0x17bc9915,
+    0x99ac28f9, 0x54a8bdf0, 0x3f9cbe7c, 0xf6a63967, 0x4000d8a1, 0xee62bf9b, 0xf54d22cd, 0x8179ad89,
+    0xc7a152ea, 0xb224a0fb, 0xbe94fbe5, 0x528b544b, 0x35ebb167, 0xcb79fe36, 0x99f1edf6, 0x7085e976,
+    0xc419b8d5, 0xfe904313, 0x947c0786, 0x00b27d69, 0xdacb7bbb, 0xbf632bdb, 0xdb6df5c4, 0x811c95f2,
+    0x806bbb68, 0x683ad7ae, 0x7565a690, 0xf6470f50, 0x2398fb86, 0x815dd4be, 0xffba183c, 0xa0985447,
+    0x7529d052, 0xc06d901a, 0x9b6b8a3f, 0x7fab520e, 0x3363ec92, 0xb36cb7a6, 0x957e29f8, 0x4fb437c3,
+    0xbaa660e0, 0x316e3459, 0x6ed122ae, 0xd6db3ee2, 0xa4f5a93d, 0x51e4d664, 0x2f9caff5, 0xfe93ea33,
+    0xb215c8e9, 0xb2d51b78, 0x70e26a1f, 0x9f00f2f5, 0x4258b971, 0xf45ec327, 0x6cbaa9a0, 0xae458fe4,
+    0x30aa288d, 0x78f04716, 0x8eda6649, 0xc0de0358, 0x81be2353, 0x6beaa2c8, 0x529d51d7, 0x24fe3929,
+    0x4a52eb81, 0x996a2ebc, 0xd55d9437, 0xc4fcb3fa, 0x9fe24007, 0x4cabd076, 0x9bd720f7, 0xe04b17a3,
+    0x9c8c9c7b, 0x9b78339b, 0xeb154928, 0x4f0b2c90, 0x5f1f8727, 0x1eb00b00, 0x1668833b, 0xd0c74917,
+    0x2c5189ce, 0xd8567a05, 0x7964c5c5, 0xddac412c, 0xea503ade, 0x64714990, 0x0f026b66, 0x571befe9,
+    0x5d7e115a, 0xc2fbd526, 0xe8f9e7c1, 0x8bee628a, 0x1dc28d9f, 0x4fe1fd92, 0xbe24ec78, 0x0e93a88a,
+    0x9c070c76, 0x21765f8c, 0xfa047883, 0xbb89a972, 0x407bda32, 0xe4d5c14c, 0xb0c03105, 0x17d2c087,
+    0x3090268b, 0x77561bfd, 0xa54ee6f6, 0x5dc5bb0a, 0xe66c11b9, 0x613f5664, 0x716a7905, 0x178a6c80,
+    0xaad6d7e0, 0x8ceea67a, 0x57c33569, 0xf53d452e, 0x76bd6586, 0xa60c5b24, 0x44e7635c, 0x507199c1,
+    0xdf48ecab, 0xa159f6c0, 0xe980f8ef, 0x62f4e602, 0xaada20ce, 0xd26f9e64, 0x1abb784d, 0xc3100f38,
+    0x9a4f916c, 0x9bdffbb4, 0x16f4863e, 0x954db8c2, 0x29962278, 0xb1dbad69, 0xb81e9a1e, 0x2f465274,
+    0x250a2ea3, 0x0a161514, 0x7ead9859, 0x1247f7c8, 0xca48d739, 0xcdedbe4d, 0xf93098a6, 0xd64e0fd7,
+    0x2da9b4c7, 0xb8a7e287, 0x0926462c, 0x95c70eee, 0xb5092cb8, 0xb42d6c7f, 0xc1aca626, 0x6107e738,
+    0xa1dbfc1c, 0x9ef561d2, 0xd44079fb, 0xa0cab164, 0x69d4bf0c, 0xbf589584, 0xb0b8e36f, 0x2ef370b1,
+    0x27204369, 0xa2a46d72, 0x82b345c3, 0x7f5947e9, 0x9a1ccda2, 0xb8cbda11, 0x1a5e8e20, 0xc4874805,
+    0x819ba9bf, 0x3584fe20, 0xdb8392c3, 0xa754be97, 0x347b7ea0, 0xa623f05d, 0x13065afd, 0xe18c93b7,
+    0xca2c4e4c, 0x093875d3, 0xe02c0091, 0x2201f511, 0x540f2ecc, 0xf5c085be, 0x4a7be613, 0x08c298b0,
+    0xcd9f177a, 0x45aff2eb, 0x04f6500e, 0xd584f72d, 0xacdd71c5, 0xc48ab968, 0xd364eb36, 0x0d7108c9,
+    0xef310846, 0xb19c158a, 0x769bf6a2, 0x1f54507c, 0x356d7afb, 0xa08bf52e, 0xc9fff88e, 0x6f677cd1,
+    0x6d58c060, 0x27f28c8d, 0x7ff6cdc7, 0xa7cf13e9, 0xc85ba017, 0x2a37750a, 0x26efa8da, 0x5750fb23,
+    0x745df8a8, 0x62467532, 0x86d2a975, 0xf3ee2f52, 0x0660cef3, 0xa3b18405, 0x3a7ee5ee, 0xcc61eb8a,
+    0x1b3287c0, 0x89c42c01, 0x71b7f0ec, 0x15361117, 0x13a73a5a, 0x1af489db, 0x859c5a26, 0xde328dc2,
+    0xc85e8b5e, 0x113d42db, 0xaf696b01, 0xd8c62156, 0x74d97b66, 0x1d63998d, 0x9ab43290, 0x752378b6,
+    0x218cf184, 0xa9ff760c, 0x0608ae2d, 0x3a5359c3, 0x9a376003, 0xba770f16, 0x8ed0e9b1, 0x97dcee52,
+    0xabed1f98, 0x7712ff9b, 0xc7aa8d31, 0x4e4ac4f1, 0xc5788128, 0x86eaa98b, 0xf47a96df, 0x140bdf71,
+    0x6d6700a2, 0xeaee7536, 0x83413039, 0xdedc8802, 0xe49766e6, 0x04a7094a, 0xd42f06bb, 0x83199041,
+    0x1ff3a61e, 0xc191017e, 0xa1e5c3ec, 0x4ab12bef, 0x1b4278a3, 0xdcf36c6c, 0x7ba2994b, 0xadf6f9b6,
+    0x1fe9e8e2, 0x14704111, 0xa0564229, 0x929c1f61, 0xa18517c0, 0xe19df527, 0xb477e1ee, 0xea88f069,
+    0xcfd41056, 0x8e4a57b0, 0xfd072955, 0x95656b9b, 0xb2335287, 0x292c2ba5, 0xe84e3849, 0x0f2f6352,
+    0x8e662600, 0x7d25ac55, 0x342af8ba, 0x27be40b4, 0xa21af93f, 0x156fe58d, 0x68ea4f02, 0xc64b6948,
+    0xf7d194a1, 0xcb8bc55c, 0x1262ccd9, 0x15274fb7, 0xccaea41e, 0x8917fbec, 0x0c2debaf, 0x6640bf6c,
+    0x71872c84, 0x1d012ea9, 0x52933ad1, 0xce68ba6a, 0x68921bdf, 0x5bb7d363, 0xffe647b7, 0x1939661f,
+    0x8c77b65d, 0x050b9eb6, 0x5bd0c840, 0x39da4a08, 0xcbf19b9f, 0x21649702, 0x68a44355, 0xa9a3507c,
+    0x07fa3a1c, 0x62986422, 0xf8924b5f, 0xb914ef5d, 0xecb69da2, 0x61d761a5, 0xe1b18e9a, 0x8d605ea9,
+    0xcaf52c6b, 0x2b0ce881, 0xe1309f54, 0x3ecaa8ca, 0xa6aaf4bb, 0x1067213b, 0xba45fd5d, 0xe91776f4,
+    0xe7b80f94, 0x82eefec2, 0x012fa4e5, 0x5e16fc50, 0x77d50dde, 0x8e4313b1, 0x19cc6c64, 0x8c7709ce,
+    0xff0ee99d, 0x256d23fc, 0x9527bb83, 0x4bf72def, 0x65ef151e, 0x27bfba9a, 0xd80be1df, 0xeb3cc884,
+    0x2db24324, 0x8cf0462a, 0x84a609dd, 0x9a1ffae6, 0x7935542a, 0x0396b87b, 0x4f11fb42, 0x77673df4,
+    0xbbd0692a, 0xf9cd5046, 0x0a136c4b, 0xbd9a348a, 0x9a3a9f6d, 0xc9dbf7cd, 0x23139edb, 0x7da4e7fe,
+    0xc858073b, 0xf7b3b737, 0x13a1f9cb, 0x178e720f, 0x59fa0a89, 0xb84aad9c, 0x03f95141, 0x2a05c181,
+    0x227ac855, 0xf01ba14b, 0x87a9dea3, 0x9c4054da, 0x6dde61f5, 0x26641f04, 0xb5bb022f, 0x41cb6838,
+    0x8034fccd, 0xfd83ee11, 0x556755cb, 0xb6aa18c1, 0x42a5665f, 0x46b01d8b, 0xcea66089, 0xb6c47dc7,
+    0xbb4749e9, 0x44d55ef7, 0x695eec0d, 0x900d3921, 0x2c460d6e, 0x739c43df, 0x4c489c7f, 0x7bf65bff,
+    0x66698f6d, 0x6b992085, 0x1e98504e, 0x151045fa, 0x2666e3c2, 0x50bdd8e0, 0xb5431f7d, 0xd83a9d91,
+    0xe93be0a8, 0x10f52f84, 0x6c859cde, 0xb0e79d17, 0xd37ccb05, 0x443e70cb, 0x0272b8a1, 0xe872f4b8,
+    0x63d3cc16, 0x23818f91, 0xdb5affe4, 0xae5eae59, 0xf9e42d91, 0x1ef837b6, 0xc64be507, 0xfb9c27ec,
+    0xb7e42609, 0xa60b3eb8, 0x9f41c83b, 0x5618f52d, 0x3e8435fe, 0xc0ea6e3f, 0xfd30b68e, 0x5e78e14a,
+    0x2494ec94, 0xb8b79e18, 0x3d88ce69, 0x48521fa7, 0xaa98d939, 0xc36d6d90, 0xef5e4ee5, 0xa423b25d,
+    0xc0932152, 0x85f06142, 0x57982311, 0x05196495, 0x10140016, 0x2af6eeb1, 0x000a4b3a, 0xd06b0561,
+    0x80b84fc0, 0xa349cd0c, 0x78b56ded, 0x211406d3, 0x364325a8, 0xec88ae7c, 0x11b7803b, 0xa12b41f4,
+    0x81d90579, 0xdcb87db8, 0xbef0ed75, 0xcd128864, 0x7d9adf44, 0x7bf82f8e, 0x0c55a160, 0x96d481e2,
+    0x5f894fc9, 0xb4b8e03e, 0x56117b27, 0x1b058ace, 0x46a324b6, 0xd10aa069, 0x4c144441, 0xaaf1e55e,
+    0x0e7354bd, 0x48c49a7a, 0x900473e9, 0x12569b6f, 0xf1459b98, 0x77dc3265, 0xe7f38065, 0x5dc96c7c,
+    0x8ef90ec6, 0x4d79ffa1, 0x8580349d, 0x6489d786, 0x3ddc2aad, 0x23f34c7c, 0x31c3855c, 0x689782a1,
+    0xba6f642d, 0x13b14c8e, 0xf1928c91, 0xae5f436b, 0x582f6c4d, 0xb8a4a4f7, 0x87069b14, 0xaa3ca812,
+    0x0f39757f, 0x94731c65, 0xe350bfdf, 0x82b84043, 0xde3d0cfa, 0x1def0763, 0xcf134050, 0x2d1269ff,
+    0x60b9bfe7, 0xcf5d221d, 0x91b2489d, 0xc83982bf, 0x0a70818a, 0xce212d5f, 0x0a4a933b, 0xffdc4688,
+    0x3e6ada55, 0xb0eeb1b9, 0x60d4ff03, 0xac234130, 0xcc3661e6, 0xbe571228, 0xaed404b1, 0x6c3b6708,
+    0xa9dd6d27, 0xae63a070, 0x503a0bc1, 0x98664ee8, 0xf187456d, 0x2d20cbbf, 0xc0ea77c1, 0xc913d5eb,
+    0xb782b526, 0x6dd2f672, 0xb4f7ea16, 0xfa0b642f, 0xdfe5519b, 0x27de766d, 0x7bd09be3, 0x085d1402,
+    0xe34b2ec5, 0x00855d25, 0xf0495081, 0xc212b63d, 0xcefb28b3, 0xa7ace87b, 0x2d72c0ab, 0xdfe7a682,
+    0x43d41c64, 0x124fa12e, 0x932eab48, 0x7f79acea, 0x4bdab753, 0xe3a15e20, 0x20265997, 0x68691b09,
+    0xd56d4558, 0xccb17b4a, 0x26dd834e, 0xb46486c7, 0xbbca9c7b, 0xa44a9c10, 0xe80cc836, 0x03c4295b,
+    0x9483a5de, 0x6d723f82, 0x26d5eb29, 0x2d92a0df, 0xb1be6b77, 0x61699d89, 0xbbcaaf20, 0xf942819c,
+    0xe60b98c2, 0x67890b59, 0x18a14a3a, 0x3c216827, 0xdeff34ac, 0x1da6f69e, 0xaa485ea3, 0x7a86f2ec,
+    0xe1aa4744, 0x3bda5030, 0x0f72842b, 0xd83700e8, 0xe343f32a, 0x49aa561c, 0x86820011, 0x2e4b67c6,
+    0x504b32a3, 0xd57ba639, 0x4d11c5f0, 0x3294f98d, 0x0b0854ff, 0xb6c90ba2, 0xbfbb320c, 0x55b597b0,
+    0x6a4e6922, 0x5df5f910, 0xefa18d3e, 0xc0d5e548, 0xcea2d64d, 0x32b3d287, 0x073caec6, 0x7303145b,
+    0x77868c1d, 0x868bf7d9, 0x6fe6a6f7, 0x3a68487c, 0xf3dbb832, 0x963a0da6, 0x53ed6a46, 0x4d54da4f,
+    0xb6106ec4, 0x2e044659, 0x5b408137, 0x1f51e038, 0x475ac408, 0x02dbb282, 0xe21a44fd, 0x6e4a0eb4,
+    0x6f481b1b, 0xee71e2a5, 0xcc80fa79, 0x26667f30, 0x1a825edc, 0xf7d43c92, 0x7d63407a, 0xa5531766,
+    0x311f2c1c, 0x73b0eb28, 0x260d4764, 0xad94c766, 0x488bffd0, 0xff31110a, 0x48eeff4c, 0x4920751c,
+    0x2704d9b9, 0x17720d98, 0x40a8020e, 0x3ecdde77, 0x939ef2e2, 0x6f20acc9, 0x4fa13c2a, 0xa8dea085,
+    0x168e13b5, 0x4a8a1469, 0x45a6198c, 0xc27e97b9, 0x103a8fb7, 0x39490a0a, 0x09678527, 0x5d99b766,
+    0x9a506c4c, 0x9cbc50ed, 0x580bba31, 0x6c493792, 0x52add468, 0x1244f5f4, 0x6b7b0478, 0x86a78439,
+    0x4f8b1aed, 0x67486bbd, 0xc4e231b2, 0x962c5417, 0x2a416d31, 0x71cd7a8c, 0xadec0b10, 0xd51e8455,
+    0xf4acbcab, 0x12ad0aac, 0x3ebaca5e, 0x37ca95b0, 0xc0cf51db, 0x1003c6c0, 0xec1aff0c, 0xe00ae840,
+    0xc9b0c911, 0x46f630d1, 0xed6c1d9b, 0x89ccb1be, 0x5183a453, 0xe3b688f9, 0x63a9b7c9, 0xe4494f93,
+    0x354c79b0, 0x2f8a6189, 0x9e88d365, 0x8b2753e2, 0x49bb2863, 0x16be4281, 0xda97318e, 0xc90ea986,
+    0xd255f4fb, 0x1ace8013, 0x47ed26f7, 0x1bf48d75, 0xedc8fc90, 0x295254c1, 0xf4d88540, 0x496bde97,
+    0xa7e1b3fa, 0x1ffbf2a8, 0x0c630fe0, 0x34f9d14c, 0xd0e63700, 0x3fe68eb2, 0xe8efec91, 0xa21bf2b9,
+    0x6d9d22b3, 0x26b938a3, 0xb64cd567, 0x46d953ce, 0x5fbaf27c, 0x6624d541, 0x77b9cc5a, 0x8ce70236,
+    0x2cb10706, 0x30663223, 0xed4d9900, 0x70b8d48b, 0x799a6a2f, 0x784a970e, 0x020686d3, 0xa4a8339e,
+    0x3b4e262a, 0xb243cd5c, 0xbd38a109, 0xe7c60f77, 0x37fa2f89, 0x05bd244e, 0xc3d1b0ac, 0x543e5f33,
+    0x54a4b7aa, 0x80c33d3e, 0xf3b5795f, 0x9c2039cf, 0xfe542c4f, 0xf43b201c, 0xc56a32b7, 0xf70621ed,
+    0x4388d3d5, 0x0bcd6ec7, 0xcd850221, 0xe567b57e, 0xf9612fa5, 0xb0a19593, 0x2ebde21b, 0xbac02197,
+    0x059d6c44, 0x3c39c302, 0xbaabdb55, 0x6c7288ce, 0x297e7f59, 0xd74ddce5, 0x2306552b, 0x7362e9e6,
+    0xd8456117, 0x3110d09f, 0x5870059c, 0x12a82c95, 0x361c80c0, 0x77dd4f7a, 0x5fc19b0c, 0x17226563,
+    0xb6f35963, 0xb1f35a32, 0x8bd56928, 0xfd9d4aa6, 0x6e5eddb9, 0x14f205b0, 0xa506a50d, 0x4bae8100,
+    0xafde8450, 0xe62f666e, 0xa18c46f4, 0x6d52ac4a, 0x39f23f46, 0x8a2f9786, 0x109f811c, 0xbe4f56ca,
+    0xe4234f13, 0xd0c302da, 0x502f9d3a, 0x711ef51b, 0x1faaabf0, 0x536baa60, 0x9e4ddbb2, 0xf30a87e4,
+    0x41ddf042, 0xf5018f91, 0x218d1fdf, 0x32756869, 0xe233688b, 0x4d2c8294, 0x427522f5, 0xf12b64e1,
+    0x00000000 }, /* 10**00000000062434971006319844627631944595863326114971962853299423017183139192507\
+                         43477639531240240612206126983942319653862242813245790895951358576570612580352 */
+  { 0x00000000,
+    0x40000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab202,
+    0x0b9e1674, 0x19943f7a, 0x77547ce8, 0xf892faad, 0x8eb42f58, 0x50d7b920, 0x15972953, 0x3fc58b34,
+    0x00000000,
+    0x97316265, 0xbe08b452, 0xe1a5ca11, 0xdae2cd54, 0xe74730a2, 0x303dd424, 0x145dde42, 0x69a083d5,
+    0x6cceba86, 0x82aa1f7e, 0x060a90e0, 0xea38879a, 0xbc41ff0a, 0x5a1ca52e, 0xce402cb6, 0x50db3911,
+    0xe00ff4ab, 0x005a501c, 0xaef9e44f, 0xb46d029a, 0x9d3b0a2f, 0x362b49ee, 0x4fa7dc3f, 0xbeb4ed24,
+    0xedcd0425, 0xc07497fc, 0x89ae453e, 0x43c23b89, 0xb97c3c6b, 0x5c3e3a06, 0x44282c97, 0xadb856d7,
+    0x93a27b58, 0x452480f3, 0x0b8a75ed, 0xb1616bbe, 0xb0ba9722, 0xde3ff43d, 0xe5b73c4e, 0x25fb57af,
+    0x2a4f1ef7, 0xef429627, 0xbbbd6365, 0xb970995b, 0xd29c2401, 0x4647af2d, 0x29ee4cde, 0x06505158,
+    0xd0626819, 0xb96e6cea, 0xdede1676, 0x680c8490, 0x005f68cd, 0x66820e58, 0x070566cb, 0x8572069d,
+    0xf1e908b0, 0xd729d036, 0xe35a5589, 0x4d71e4e3, 0xf40cb6b2, 0xdb408d1f, 0x226ca04c, 0x9b9ba15d,
+    0x584a2277, 0xa96a496a, 0xd9f4f36b, 0xcde00a84, 0xd9610eac, 0xdfe28ea2, 0x61f1d4ea, 0x9cde74bf,
+    0x8f2d6967, 0x3145bd0a, 0x8e96e84d, 0xb567013a, 0x7cf6e5f2, 0x4f0c01f1, 0xca11dcc2, 0xdb3e4cf2,
+    0x1540942e, 0x64399204, 0x109e7a19, 0xd35a2afa, 0xa8372782, 0xca341d03, 0x8d4a2b17, 0xa2cf52d1,
+    0xd781c9a1, 0xe18eb86f, 0xca4b87d5, 0xa1941f2a, 0x33c88343, 0xab2859e7, 0x303cb443, 0xc1ca5250,
+    0xb4679805, 0x9ee1c9f8, 0x2b18dbe3, 0x3b03e8bc, 0x89121799, 0x13c7d0d5, 0x59231439, 0x700fb8a3,
+    0xc95b9489, 0x84984ca2, 0xec60a099, 0xf091b2fb, 0x33672464, 0x7ade1e6e, 0x1c6f6051, 0x5135def1,
+    0xb3f1dfc7, 0x2ba92e7a, 0x58b7298f, 0xc8721394, 0x6c808d00, 0x3db18d93, 0xf5773445, 0xfeb314d1,
+    0x494a4d6e, 0xd0498d8a, 0x95bf8ee6, 0xd2687988, 0x954ee347, 0x738c1a1d, 0x4187bc04, 0x718c1bc8,
+    0xa9185ae7, 0xadfc07aa, 0x52057e6b, 0x8a3d4fe3, 0x6b50bfad, 0x1da467eb, 0x8020e6e8, 0x186a674e,
+    0x0f43f73f, 0x4542531b, 0x9a86a1a1, 0x91805c52, 0x0593f4d2, 0x3069f8c8, 0x21abf252, 0xe83d5d86,
+    0xc2a9c5eb, 0xf747ca7c, 0xe9090bea, 0xf1b8d691, 0xb69687ec, 0xba1da2e0, 0xb7adc3e2, 0x30046d4c,
+    0x7ee3e530, 0xb25910d8, 0xc28ee482, 0x5ef8f798, 0x78e44c7b, 0xad2d2ac6, 0x6c450472, 0xf18ab01f,
+    0x9a03bab1, 0x38c67f3b, 0x828d566e, 0x2ba251df, 0x769ad471, 0xd3b7975b, 0x7cab24c2, 0x1c3208f3,
+    0x1f816bbe, 0x142695f1, 0x96673502, 0xd2903ee9, 0x2b7e4ef6, 0x7720b6aa, 0xfc5549f2, 0x18f23d34,
+    0x6775b513, 0xffaf0fdf, 0x420e6d94, 0xa3ad9afc, 0xe83851b4, 0x94c26271, 0x24eb848f, 0x9bee1641,
+    0xde6012a7, 0x1b99a9ad, 0xf9e1325e, 0x6aee4976, 0x7446503e, 0x4f67a0cf, 0xf583347b, 0xa9641943,
+    0xe607d95c, 0xb1656ce0, 0x938df72f, 0x23ac0b0c, 0xa6fd4ea6, 0x89292cd3, 0xbc7322ab, 0x090c4941,
+    0x749b9fe8, 0x61b090cd, 0xc43ad84a, 0xbf669eca, 0x3c235220, 0x0b017827, 0xcafd4348, 0x9f79f219,
+    0xc0573586, 0x1f6edbaf, 0x546aeb49, 0x0e5b48ae, 0x555d2b21, 0xf410099b, 0x12a912ad, 0xdbb8e4d0,
+    0x9ba33bbe, 0x148f69b9, 0xaac1cf5c, 0xdd8aac5b, 0x2552f234, 0xdcc353c9, 0xbbeceb0a, 0xb79bff55,
+    0xb3a407c1, 0x1c1efe54, 0x5c115606, 0x5e0441d4, 0x20546d63, 0xeed8c9d8, 0xba4490a4, 0x8af018b0,
+    0xcbed82ac, 0x63caebd9, 0x6e21b64d, 0xaa246d3b, 0x34feb483, 0x68a533c3, 0x843f7845, 0xbdd4de56,
+    0xc1422e10, 0x9902d004, 0x0621aee8, 0x7e9061d0, 0x69d5bde9, 0x26a34ec2, 0x461ed950, 0x783692c5,
+    0xccbcf8ff, 0xe2bf5779, 0x260fa75e, 0xfc6b87cd, 0xf8eeb3c1, 0x0bc2dd84, 0x13617281, 0xf1f4e122,
+    0xf2919538, 0xef98aa72, 0x77751016, 0x64a02cae, 0x0dfc1251, 0xce0e2fe2, 0x24ded647, 0xd853b684,
+    0x739f9f95, 0x2154e54c, 0x9c530683, 0x281ccd0f, 0x17226fe0, 0x9163cd87, 0xaf322dd8, 0xbe43cc20,
+    0xf9dec928, 0x27c23e39, 0x79c19481, 0xe1839757, 0x2fcfb8a9, 0x24ba6134, 0x7843d27f, 0xe44f6e42,
+    0x49aaf4a2, 0xe2d502ee, 0x56709cce, 0x9e013194, 0x202cb09d, 0x3d6f98fc, 0x84211757, 0xb1ac1c00,
+    0xc33dafc1, 0x250aaecc, 0x9bc5d713, 0x6ae8bfcb, 0x7ab5cd59, 0xdd318b9a, 0x4ed7f9ef, 0x0fd0a096,
+    0xb4c7a40d, 0x064c2615, 0x2052c3f0, 0x16d58ffe, 0xf442b11c, 0x7823295a, 0xeba2c5c5, 0x43b13a75,
+    0x7caab168, 0xf7428020, 0x6011e654, 0x1a6edd5e, 0x39fb3d36, 0xacbe04a8, 0x804223ea, 0x15b1419f,
+    0x315ad783, 0xdc4fc8a6, 0x20646adc, 0xa04662bd, 0x1ece4f91, 0xbfd60cb5, 0x1c47814f, 0x4e0b04f3,
+    0xb919ea04, 0x39697433, 0xe16204b7, 0x4a28d0cd, 0xd6eb36c6, 0xc97b3bbd, 0xe973b15d, 0x7352d533,
+    0x5d14f554, 0xe9eb5611, 0xb0cd1719, 0xcd7bb99b, 0x3366c19d, 0x230b26a2, 0xe825c1c6, 0x6b642c83,
+    0x3b2bdd35, 0x0b37d868, 0x94c364ca, 0x3bf4adec, 0xdffbc371, 0x888f8a96, 0xd5401422, 0x624b3b6d,
+    0x57715341, 0x67e38820, 0x534c5d63, 0x01a8cc54, 0x30a7e154, 0x54af72d3, 0xee1bba90, 0xda1115c7,
+    0x26289501, 0x41f5b8ff, 0x043610b4, 0x63c1ba07, 0x7ef4092e, 0xd0b989c9, 0xd88301be, 0x5ba8997d,
+    0x55688f2f, 0xb61803bd, 0xd83a06ab, 0x4b040c29, 0x0f48e751, 0x36232d9f, 0x281086a6, 0x5f1d0baa,
+    0x3bd20379, 0xfdbdcb82, 0x198501e8, 0xd154b515, 0x9100a5fe, 0x2e8e38b0, 0x2adb7cc1, 0x76731dc8,
+    0x5c0ecd6a, 0x59dde91a, 0xfbcfcbb7, 0xc225d765, 0x1baef63b, 0x47146ddb, 0x84dd89f9, 0x2c6b4a9d,
+    0x039559c4, 0xa7f27cec, 0x69ab8040, 0x14e1530b, 0xe3f96ed8, 0x1435b8dc, 0x9c23be38, 0xdfb9e7e4,
+    0x3ea87cd8, 0x1e503b2a, 0x1445a198, 0x0b012a51, 0x5a1ee4ab, 0xcde9daa8, 0xf11c2890, 0xdff8c851,
+    0x25850a38, 0x4a94bc80, 0xbed51ee4, 0xec26a980, 0x04fc418b, 0x5aea0638, 0x2db98d6d, 0xfb6d799d,
+    0x3b2cde2f, 0x7f6e11f8, 0xcd0b7959, 0x1e377df2, 0x392fe4ec, 0xa4805d0e, 0xeee1fd5c, 0x02f3e2c7,
+    0x2ae78332, 0xf0ebfefe, 0xe7c03b37, 0x545a5f87, 0x7e554a53, 0xa8605efa, 0xf72b9c02, 0x6da5ca83,
+    0xda1dbab7, 0xf4672c02, 0x4b11f467, 0xecb51cab, 0x3b06c92b, 0xd83c7a1c, 0x0047dbf5, 0xfc353452,
+    0x0f07cecc, 0xacc5653f, 0xbc62aade, 0xcaa76376, 0x2dd97ccb, 0x777b7b47, 0x36f7c8ea, 0x2d15ce2d,
+    0xaf10395b, 0x58fd6136, 0x39691e77, 0x85c82094, 0x8608de7a, 0xe11a41de, 0x6aa28e06, 0x8a8dfc04,
+    0xab5fb486, 0x94ad83bd, 0x621c4a19, 0xd4009e21, 0x1b1dd50e, 0x0ca89ee7, 0x227e8030, 0xafe05113,
+    0x81803dd3, 0xa161ac4c, 0x44a2e009, 0x49713c97, 0xbe9fd448, 0x3e2e6668, 0x82a911c9, 0x17b42547,
+    0x5ed7e461, 0x44f4ec3c, 0x01054826, 0xe3a8cda0, 0x10ef684d, 0x4ccf170a, 0x712f0fa8, 0x0c50d394,
+    0x36725429, 0x633e0828, 0x2e860b65, 0x0e395115, 0x8d0b3234, 0x02043dc4, 0xbfa3f1ca, 0xa8515992,
+    0x324df1e1, 0xdadf147d, 0x6784e82b, 0x5b31aeb5, 0x8829e04e, 0x9f39a9f7, 0x0be88d1a, 0x5b2a9536,
+    0xa25440c4, 0x1a3e6206, 0x026855d8, 0x24264b7d, 0x8fa929a5, 0x6498668e, 0x2ba650d4, 0xf7b61fac,
+    0x8cd26fe8, 0x129d4f1a, 0x3c9c2ebb, 0xaf1dd83a, 0x18cc6274, 0x3e0ea288, 0x2944fbb3, 0x9a288bd3,
+    0xaf0ae0ac, 0x49b22301, 0x5a0fb03f, 0x3ff12b48, 0x826e297c, 0x9d65f9e3, 0x564807ac, 0x9ab89b80,
+    0xe158d9a2, 0x03ad3b94, 0xff692adf, 0x1f6993fb, 0x8eb94e48, 0x4b6e3d11, 0xe0919c44, 0xf019b4a4,
+    0xbd97d5d1, 0x104b27d0, 0x93a35f8e, 0x49463141, 0x2968535b, 0x02f1c8ac, 0xae357006, 0xb7de3bd6,
+    0x219e8766, 0x7c8d0c27, 0xa728da98, 0x419ecf3b, 0xfa5dcd70, 0xf3bd6b6a, 0x19e6b877, 0xe380e87e,
+    0xdf4427cb, 0x2c9a8dde, 0xbfd15bf3, 0x0be2996b, 0x7c538c77, 0x3bf22c26, 0x6e3f0850, 0x80ecfddb,
+    0x946ab6e2, 0xd88fb83b, 0x0aa0f269, 0x56aedfc8, 0xaaaa6bdf, 0xfcadc592, 0x28e4f5b8, 0x51709de0,
+    0x827f0bc4, 0x96a9e313, 0xe9db2af5, 0x104885bf, 0xbe92c081, 0x439dc8a3, 0xc2e89b2f, 0x24715f8f,
+    0x10cf9b30, 0x6a15271a, 0x17b298dc, 0x6229932f, 0x5319211f, 0x05f5ed10, 0x52854400, 0xbb2b31b8,
+    0x6df97df3, 0x40a76700, 0x9aa15742, 0xf5421814, 0x233781af, 0x03f0456e, 0x0b81096c, 0xede92824,
+    0x16dff5f7, 0xd7492f9c, 0xdcf2c127, 0xf71be221, 0x7dd7ea7d, 0xf2e50531, 0xe61a3fd5, 0x209a96ce,
+    0xbd98866d, 0xbacd6311, 0x9b12f027, 0xa3e73faa, 0x36bd5fcf, 0x29aa8bb0, 0xaad57126, 0x3fe80c81,
+    0x68250c66, 0xda5f1ada, 0xc61b9615, 0xb57374db, 0x76df223f, 0x9f26f4d4, 0xce33e72d, 0x35f5c0ea,
+    0x1482f456, 0x9e50c0c8, 0x9a5cebad, 0x48ddf5c5, 0xb13b8605, 0xfb1c32c8, 0x3e397e75, 0x31b1b175,
+    0x1ca996b1, 0xa8d2edae, 0x2b10030a, 0x4e627d6a, 0x8b967dac, 0x519ee436, 0x9f29d98f, 0x8c274e8e,
+    0xe17f8818, 0x8e000f62, 0x8f774961, 0x35ccb8e0, 0x20f2d2e2, 0x8b761ac1, 0xade17d03, 0x6c644d21,
+    0x2e7102f2, 0x999708f3, 0xe6bf9804, 0xd9f28942, 0xb2591bff, 0x1fbf3405, 0x230b119a, 0xc5f1744c,
+    0x030dc7cd, 0xbebe6308, 0x63234733, 0x6816600a, 0x33e8cd19, 0xe87dd5d9, 0x07474883, 0x6e645b82,
+    0x03bd2411, 0x00217c92, 0x5e444811, 0xd29bc3e3, 0x85102fea, 0xbc76cca6, 0xdb9e7808, 0xf9f6cdf3,
+    0x776e50bf, 0x7ed8012b, 0x8982b726, 0x95e597a6, 0xdba16028, 0xf444215d, 0x337c8d76, 0x5343acc8,
+    0x65056400, 0xf4cf830e, 0x3053c326, 0x9cedce6e, 0x08d560f0, 0x120399b7, 0xd806df42, 0xbac1eb7f,
+    0x12f5cb73, 0x381454db, 0x40e286ef, 0x0ad879ab, 0x2d8c8a07, 0xa3bdf84a, 0xb2b2731b, 0xc3ff21d9,
+    0x29582d79, 0x9a23bd22, 0xddaf24c5, 0x44b796e7, 0x5efa06c9, 0x31a8d44d, 0xa176efa5, 0xcaa2e7ad,
+    0x6077f35a, 0xde618bf9, 0x12349315, 0x4031a5bf, 0xd82c2c8f, 0xbde7bef2, 0xaae216b3, 0xba1b58fa,
+    0x65b3a9d0, 0x3f8e9a37, 0x94f2f784, 0x40a28b34, 0xeae6dc04, 0x42c7f748, 0x86391c78, 0xb01962a9,
+    0xca932f07, 0x6af7ccd8, 0x2e917b63, 0x60b156aa, 0x88115cae, 0xe0030d78, 0x50fbc694, 0x5157984e,
+    0xd9ec0680, 0x59e4a5bf, 0x66761101, 0xaea60bae, 0x58aef6bf, 0xfd91a855, 0x1d5d987c, 0xf15c21de,
+    0xb48f86b0, 0x524f1450, 0xdab9c163, 0x0db031ae, 0x5563e7c9, 0xba9dfdcb, 0xd9afe15a, 0x38b60f29,
+    0x53b24d44, 0x5b080719, 0x8b3b69b1, 0x24d4f74e, 0x3b8c4b7c, 0x86c73c1d, 0x2a57e728, 0xc8f35032,
+    0xd62081b4, 0x89ae4da8, 0x2accda67, 0xdd2ae0d6, 0x08d5f8d1, 0x733a0036, 0x30a64cca, 0x33543423,
+    0x29cc1308, 0x65b8d317, 0x7d729c06, 0xd530f102, 0x5960e3d2, 0x6ae64eb8, 0x417e14b4, 0x3266f79e,
+    0xd902b8ab, 0xc0f0ccc2, 0x44f16bd9, 0x9714ed60, 0x774f5c70, 0xf79a0476, 0x4323e0b5, 0x99c1b5f2,
+    0xc6a398ea, 0x86f40241, 0x94d6d993, 0xea9a1ebe, 0x9c74a4dc, 0x51a65542, 0x40477224, 0x8388136e,
+    0x9791c5ea, 0x78ad9843, 0x01e7ed14, 0xe3739fff, 0xf3868aac, 0x4633f1b8, 0x8ceac751, 0xc217cae7,
+    0xc9597373, 0x6a742022, 0xc5cedf70, 0x26246e2d, 0x43612209, 0x26394631, 0x9edbb4be, 0xd1290a01,
+    0x3585ce40, 0x92da524c, 0xb508fb61, 0x7846e746, 0x7848bfb5, 0x8f6c0595, 0xbead7a38, 0x3098f59a,
+    0x0118f9e3, 0x74705822, 0x3a9c6d30, 0x9f724e35, 0x29592f94, 0xbf474a2b, 0x2b4af3c2, 0x6f895c8e,
+    0xb0757fb4, 0x5aa3c0e3, 0xa344f514, 0x8be361de, 0xcc2e1a90, 0x77bebb90, 0x7c575e11, 0x992dcb21,
+    0xaf430a3d, 0xea32f966, 0xec3539a8, 0xbea47b3e, 0x07801998, 0x7b9048af, 0x3d5a9339, 0x189e11ee,
+    0x467adec3, 0x261e3369, 0x226bbd97, 0xe193464a, 0x323a6621, 0x0f4b0390, 0xe7b3f41c, 0xff8b8b7b,
+    0x4eb7f784, 0x0891584d, 0xb4f0cefe, 0x40441b73, 0xdb793256, 0xf936c8ef, 0xb7efcf89, 0x70221ed9,
+    0x281010a2, 0x28591e28, 0x4b5bbf6d, 0x88e16769, 0x2ef27244, 0x11be7a45, 0x9af12b23, 0x196d65ff,
+    0x6d84371e, 0xcb543b5a, 0x7cba44ba, 0x79348d0e, 0x1ffa909a, 0xefcdc7ea, 0x86019afa, 0x70c25fd9,
+    0x43b08cc6, 0x867ef9a0, 0x4eec5d05, 0x291be10a, 0xbd721e05, 0xdff009e5, 0x693df729, 0x7baee841,
+    0xbb205230, 0xe27ae48e, 0x45c47f59, 0x79fd21ec, 0x7f453c95, 0x8a845d03, 0x58cc6906, 0x3bbcccae,
+    0x0e5a9700, 0xc04f868d, 0x546598db, 0xe52e54c6, 0xdc8d532b, 0x1ffb49b6, 0x615f0828, 0x6c5f0d7b,
+    0xb0d36ef3, 0xd57d15b5, 0x43475656, 0x09794094, 0xd7fb6586, 0x40041221, 0x99e0f052, 0xc46fa123,
+    0x44aaafc8, 0x9866cf0e, 0x7caacd21, 0x9142ef5d, 0x12dd74b4, 0x2088d88e, 0xe429012e, 0x7f554097,
+    0x2eafa39a, 0xba1f166c, 0x611498c1, 0x84a7d4ee, 0x9ad5f71e, 0x915f2d01, 0x7e07cbe6, 0x1daed617,
+    0x71b455da, 0x84e8b201, 0xe09e6bc4, 0xc2659d64, 0xf97bdffc, 0xec2d3808, 0xccdefe9b, 0x01b15a70,
+    0xf75aa327, 0x832079c7, 0xdaa0302f, 0x732278f5, 0x1b0c6713, 0xb4b80e8d, 0xcb923a95, 0x2381b909,
+    0xb14c8ced, 0x40756ccf, 0xbbb747c8, 0x9955b466, 0x0bc95af3, 0x223f7bbe, 0x1dc03a88, 0xe264f89c,
+    0x3a019359, 0x6c32794d, 0x6fad15ec, 0x93a8b3bf, 0x3da77e70, 0x29d77893, 0xe92322ee, 0x52789f6e,
+    0xe4103a68, 0x08423582, 0xdb198cc3, 0x368f2c5c, 0x3dd6ca43, 0x04a41eae, 0xe5c68ab9, 0x10daa092,
+    0xb04cb789, 0x8069f579, 0x022505af, 0x766fed07, 0xca898eae, 0x75e35a34, 0xe1f31ad6, 0xd03a6bdd,
+    0x9c910d57, 0xf7175b84, 0x009981fa, 0x3389315c, 0x89a12c61, 0x94a64929, 0xbdb2f1aa, 0x770c3d5f,
+    0xdebe4c4e, 0x4811f3c4, 0xb6801cda, 0x35738793, 0xc4db6959, 0xa1609ba3, 0xb8698ad5, 0x1109027b,
+    0x1424794a, 0xefe4fb1a, 0xef4fab32, 0x1344c18f, 0x96543e50, 0x84e598a0, 0x827b6edd, 0x88a738d1,
+    0xb73b2069, 0xda86af8d, 0x66228708, 0xd7d16b62, 0xef52e2b3, 0x8331ca6b, 0x22a3b82d, 0x3e51dbc7,
+    0x399cb485, 0x47b8d245, 0x4ff28c21, 0x11934aa0, 0x7c51eeae, 0xbdb02532, 0xc344d6c0, 0xa8a7af44,
+    0x8c2b5370, 0xab0c6970, 0x1d7a0daf, 0xee8fe7ef, 0x46d656ff, 0xa7dd2f4f, 0x023efe4d, 0xd6ec23c1,
+    0xb8ecda26, 0xa80be450, 0x74a4574c, 0xb914d840, 0x3e8f1634, 0xba811b9e, 0x206f444f, 0x4fdf44a2,
+    0xb22dbe40, 0xe22e64d7, 0xfcf421dc, 0x6867dbd3, 0x05298345, 0xc582ac1d, 0xc3f1788c, 0x512cdb86,
+    0xf57e1569, 0x0c6ab368, 0x952b6e5e, 0x2481cef8, 0x128f4e8b, 0x1a8d35d4, 0xb6e43a3a, 0xd9c7b85c,
+    0x00000000 }, /* 10**00000000031217485503159922313815972297931663057485981426649711508591569596253\
+                         71738819765620120306103063491971159826931121406622895447975679288285306290176 */
+  { 0x00000000,
+    0x40000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5901,
+    0x05cf0b3a, 0x0cca1fbd, 0x3baa3e74, 0x7c497d56, 0xc75a17ac, 0x286bdc90, 0x0acb94a9, 0x9fe2c599,
+    0x00000000,
+    0xc4bca192, 0x4f21635a, 0x84b1b125, 0xfe8e67c0, 0x9a021760, 0x1fb5c833, 0xd65f526c, 0x7bdfbe04,
+    0x2bbd0f06, 0xe866fae7, 0x91377602, 0x608c3952, 0x19e19b15, 0x0bf8d5d4, 0x87685d13, 0x5dddd724,
+    0x70ca07f8, 0x8fcfc758, 0xbe29878f, 0x8fb60e83, 0x8c9227b6, 0x06c92b06, 0x2e9bd59c, 0x854ec050,
+    0x6c73e164, 0xe2f12a53, 0x20081e35, 0x684e35ad, 0x2757f301, 0xba5ab8d1, 0x453669cc, 0x2db3db96,
+    0x7d9432e3, 0xe519204c, 0xe7b0f1ad, 0x915cc2c8, 0x8367f609, 0x19292e34, 0xaf197f8c, 0x0ac1aad2,
+    0xe305ab17, 0xaf4e9068, 0x93449a55, 0xce60e981, 0x5d844345, 0x4ea0451e, 0x75bb6bda, 0xcf5f09ad,
+    0x70bdf128, 0x64390b26, 0xb976beca, 0xb4957aaa, 0x1eee3b9d, 0xf4117395, 0x93d0d2cb, 0xf51186c1,
+    0x54f846c8, 0xa1883d18, 0x67277cd8, 0xe6935732, 0xf7fdab1c, 0xbfa1474c, 0x7727f50d, 0xbea1ec75,
+    0xb1f49dc7, 0x77c041e8, 0x533598c8, 0x6ed2db95, 0x2bb4401b, 0xc2cfdc84, 0xb1da3a55, 0xe86ca178,
+    0x108329e9, 0xfa1d6fc5, 0x74fc89e2, 0x6aa6cb24, 0xcf30bac7, 0x9b40852f, 0xd00bfe98, 0xf016f732,
+    0x2058db65, 0x9a331261, 0x7aa6efb2, 0x49eb63fc, 0x930bcada, 0x0c05784c, 0x0d98f028, 0x49fa976d,
+    0x72484276, 0x890ca6cd, 0x3bdf7ab6, 0x131e4f34, 0xa1844929, 0x8ce323d2, 0xf272333c, 0xb75d9d3f,
+    0x3b17df32, 0x13e66cd4, 0x304e91ea, 0x4c05eb1a, 0x04e00912, 0xa79f719e, 0x0125bb41, 0x97cc1974,
+    0x7701d3d7, 0x1e9f3543, 0x2ade3d8e, 0x29ce50ab, 0x0ee87fd4, 0x3e5478f5, 0x4d0133f4, 0xf38a5a9a,
+    0x6036c682, 0x12635c77, 0xf4502dd1, 0x66487b70, 0xed3d2c24, 0xd9fadadf, 0x94ee5c9e, 0x4c63e691,
+    0x605d5bc6, 0x4353b394, 0x99b30f76, 0x5c36a30b, 0x16041ff5, 0x2593a500, 0xc34fcfda, 0xaa26a802,
+    0xd0f38916, 0xcbcc567c, 0xe4d23ace, 0x19c13045, 0xca5121c0, 0x009092b0, 0xb1fe30ea, 0x22b3d68b,
+    0xfeacfd1b, 0x6b14b844, 0x57ff6e83, 0x2eaf2309, 0x1c72829e, 0xddd2f5fe, 0x10304ff7, 0xe3c9e486,
+    0x8e92296c, 0xff2b33c3, 0xc94e4239, 0x74d6ecd3, 0x0e4b158a, 0x12ebd64c, 0x188ba5ef, 0x44576d49,
+    0xfd775826, 0xac6f0b7c, 0x5a089551, 0xf437a87f, 0xb7497676, 0x537cceaf, 0xdef86dea, 0xd5b0a679,
+    0xc5dd2307, 0xdbf2b456, 0x01355612, 0x02d9b04e, 0x70ac059a, 0x16bef73f, 0xf9894f21, 0x8a0528db,
+    0xddfce4b9, 0x55b42069, 0x648828eb, 0xe91d68d4, 0xada10eea, 0xa628ddf5, 0x91451cf7, 0xdb90783f,
+    0x67c579ad, 0x908d1e9a, 0xad4c467d, 0x7ea71db6, 0x31a78d94, 0x698a224a, 0x9f22171e, 0xcc9f3641,
+    0x9b425c7e, 0x138f84a1, 0x88b605d7, 0x72b02029, 0x15cda55b, 0x623f2f36, 0x77f86d5d, 0x9f71efd2,
+    0x18a3eb9a, 0x667f4d8e, 0x674c9eb9, 0xd3daf17d, 0x549ad76c, 0x5836a086, 0x6ed47b0c, 0x309a3066,
+    0xa21f6fec, 0x75391397, 0x7835f72a, 0x92559e43, 0xbff52111, 0x0c2dd303, 0xa612f395, 0xe2bd5f21,
+    0x7aad5677, 0x672a7be0, 0x229a70ac, 0x32b35ca3, 0xc8d6620b, 0x67a1dbe5, 0x85a58c29, 0x614880ea,
+    0xa4ae5228, 0x4aa273dc, 0xe6c98608, 0x5d406511, 0xcdc039f4, 0xcd9f6ce6, 0xb35c117f, 0x3e0101ad,
+    0x3665df05, 0xf14df0b3, 0xf4e4f62d, 0x06321725, 0x3a15a1f6, 0xd4a26769, 0x4a2d5ab9, 0x58dc3031,
+    0x3b670d5a, 0xfba9ae70, 0xb0cfeadd, 0x84910165, 0xfa3dec46, 0x4ddd8fb8, 0x34de22cd, 0xd154d0ba,
+    0xe6039ab9, 0x91bd8238, 0x5e5d086c, 0xdab53569, 0x966a9c69, 0xff90c1d6, 0x5744265c, 0xca320ae0,
+    0xe4205577, 0xff94ddf9, 0xc121aa25, 0xc1f66b75, 0x835f6731, 0x555de118, 0xbb486736, 0xe3ec0c23,
+    0xf3bdb119, 0x0b2a4096, 0x24d3b7fe, 0x3e2b536b, 0x10f8a7b3, 0x9c9b43a2, 0xc37d3fe7, 0xd0dcfd1d,
+    0xc61fdd94, 0x91d55db5, 0x5b76ed5c, 0x07fcc755, 0xd6c15458, 0x39fcb402, 0x05f5a4b2, 0xfe2c0204,
+    0xca799900, 0xae3735b2, 0xa99fac70, 0xddc0ea0a, 0x880de5da, 0xae669fa6, 0x66167e75, 0x7a82b1bd,
+    0x2749d8ca, 0x3f2288a4, 0x7187db12, 0xda23722a, 0x70fd9b5d, 0x5183b20a, 0x7c929e6f, 0x853d1332,
+    0xd0eb9a29, 0xc49e5fd4, 0xf368d0d1, 0xe460955e, 0xd97f5019, 0x7b4731ca, 0x7a99e90a, 0x1262ec4d,
+    0xce96329a, 0x5f88cc97, 0x5d066124, 0x0c893434, 0x694fda24, 0x587d5005, 0x9453cb88, 0x83c1946e,
+    0x0c99f343, 0xd332e083, 0x2774f844, 0xfdc8e4a8, 0x71d908c6, 0x1ba870b8, 0xfcb768b2, 0xc1e9c8f6,
+    0xa1f42ed6, 0xc5884323, 0xebd90126, 0xb0d45d19, 0x3cd6f4a7, 0x33548087, 0x784f1142, 0xf70d7f2d,
+    0x14a8286a, 0x2a5109dc, 0x0b8a459c, 0x65925741, 0x0aab08aa, 0x7ca02981, 0x5d5cb050, 0xb4c671eb,
+    0x0cca824d, 0x5703763b, 0x070db116, 0x5db58b63, 0x45584a73, 0x33bb8433, 0x72a61586, 0x00b8eeaa,
+    0x48a50408, 0x0093a508, 0xaac18701, 0x31b80590, 0x675c4563, 0x7f5c3965, 0x47560cba, 0x4c8a2c20,
+    0xf7961bf3, 0x17511792, 0xb95748f6, 0xb8a8a6fc, 0x1565762d, 0xb609f8a0, 0x031a7d26, 0x10cbfc51,
+    0xf5240240, 0xf0d25850, 0xf60a6571, 0xd3012e75, 0xd5c7a100, 0xc75534ca, 0x77b9eb43, 0x3be51995,
+    0x957f55e1, 0xc320c22b, 0x9fffc945, 0x1ba9bdf0, 0x02e625a5, 0x6fc65f70, 0x521970f7, 0xfb7ff884,
+    0x3bec03b5, 0x811bc7bc, 0xf3ad878e, 0xfea701fb, 0x68ecdc30, 0x0261cec3, 0x4efcfd74, 0x95dff1e5,
+    0xcf964db2, 0x6d2ea4b2, 0xd8088fd5, 0xdc5b6144, 0x24c51305, 0xb34d538e, 0xe76c51ee, 0xee699f09,
+    0x54b58b87, 0x1c7f92fb, 0x3b6d0f5f, 0x5351a979, 0x9818f0e8, 0xdf43a30d, 0x4b3598b2, 0x72e162af,
+    0x0de1ea58, 0xb52dc47e, 0x3bfcec20, 0x9c59a8f3, 0xf97dfbda, 0x86751f39, 0x6f5e375f, 0x0bba8bcf,
+    0x647a40db, 0x0ce94dc0, 0x7e313dc1, 0x61469931, 0x2d3001c2, 0x27671406, 0x4beed544, 0x874dd4e3,
+    0x78b8d403, 0xce24aec9, 0x331240a0, 0xa1cb9b57, 0x5591662a, 0xd3044d89, 0x06d7b69d, 0x109012d8,
+    0xf683d34f, 0x366e0894, 0xfd47f899, 0xc7ae5cc7, 0x7dd4601a, 0xd0f64c99, 0x4ccf6bf7, 0x83c4e51d,
+    0xa6f4714b, 0x8abb425b, 0x02412f7a, 0x60a7576a, 0xb11112d3, 0x439fd33d, 0xe0fb3927, 0x8cc01052,
+    0x43950ab5, 0xe0d6346c, 0xb4069b50, 0xcd2cfb02, 0x376561dc, 0xc3fe2b6a, 0x959713f0, 0xb21c6c42,
+    0x07f3805d, 0x8f819324, 0xa58378df, 0x83b8bc88, 0x9b7554cf, 0x6a82f38f, 0x376912b5, 0x8aaa39b4,
+    0x4d9e4093, 0xb8304a6a, 0x64d15968, 0x936e3354, 0xa0e13f96, 0xa50119c3, 0x7edee1b8, 0x74cbde0a,
+    0xf2652082, 0x68480615, 0x98cd5c37, 0xe67ee034, 0x4c30aab5, 0xa8024f37, 0xe9387f72, 0x3f9a97ba,
+    0xcafe6d9e, 0xb3ae7eff, 0x289bf32d, 0x98658015, 0xfccf3054, 0x6f235ffe, 0x9c0288cb, 0xadbc76d8,
+    0x3ffbbccb, 0xc010aafd, 0xab47b39e, 0x6f2ae5e5, 0x5f9aff10, 0x163359fe, 0xec8a7101, 0x9885c56e,
+    0xf5ac6226, 0x6aa994da, 0x98a09286, 0x513b8ccf, 0x4a009852, 0x419dc514, 0x6f0097e3, 0xb7a8782a,
+    0x1625c694, 0xcd51c6f3, 0x4a98bd4f, 0x3a4a4014, 0xf817734d, 0x992ce899, 0x3dc1cfd0, 0x2e1a5ed5,
+    0x449e6cbb, 0xf5a1ef18, 0x5efd89a3, 0xed641a0d, 0xadd31214, 0x2bb7401e, 0xd756f677, 0x72a575d2,
+    0x2058f503, 0x9ca37d2d, 0x0856d2d2, 0xc075d07b, 0x54b719e7, 0xc0b1e021, 0xf17db562, 0x0cbd967d,
+    0x33e4e7f5, 0x467783d7, 0xc4174f6a, 0x87d24576, 0x59944e7d, 0x225b8182, 0xa12866cb, 0x728e9437,
+    0x5dd875cb, 0xaea578af, 0x8d2887f4, 0x9477dbf9, 0xd27c6351, 0x7db679dc, 0x0aa243da, 0xe302ff22,
+    0x82acbfbd, 0xe5585747, 0x9f60f661, 0xfe65276b, 0x03d05fcd, 0x36b2fda7, 0xb09ba81c, 0x3902f634,
+    0x7784c3a7, 0xcadfc257, 0x5113d4f4, 0x963cffa9, 0xd1bd7eb3, 0x32f032e3, 0xa29186bb, 0x308c3aa7,
+    0x89435da6, 0x0cfd466d, 0x976e487e, 0x148be9ba, 0x2a03a598, 0x6d1f7aeb, 0x1fda7c16, 0x721dba60,
+    0x2f365410, 0x85a39e49, 0x68a0e94c, 0x5d28f505, 0xde1ffd8a, 0x03c2784b, 0xfd5b1d88, 0x3f70e637,
+    0x37e8eccb, 0x4481204a, 0x3b45dbcd, 0x21122d68, 0x85211c35, 0x7504c5b3, 0xb335a476, 0x30afffaa,
+    0xda901a5c, 0xb0b31029, 0x294f48d5, 0x0a1b5afc, 0x878d10fc, 0xe68ff797, 0x52fc58a8, 0x850e574e,
+    0x7fdc55d3, 0x4ec4a174, 0x94ebdb52, 0x6197f583, 0x08c64e07, 0x050c8f4a, 0x6c3d0932, 0xdced869f,
+    0xc2451fe8, 0x4e9bba9e, 0x87c5b498, 0x78ece0c9, 0xba638790, 0x2cd43931, 0x1f7bf6a7, 0x67691c6e,
+    0xdaffa503, 0x67a09be0, 0x7f1027ef, 0x935a2145, 0x8dfcb5ba, 0xf88237ae, 0x3918db14, 0x77cdcc92,
+    0xe626f779, 0x023c2913, 0x636f607b, 0x932286ed, 0x8bcf9a59, 0x963b61f7, 0xd58ceb12, 0x1fae7dbc,
+    0xcca4aa6a, 0xb0509639, 0x9af8ea87, 0x0d930107, 0x3402d86d, 0x89293995, 0x535e3879, 0x685f4a58,
+    0x7c73e428, 0x9be4aa98, 0x759ff13a, 0x4e27bff1, 0x277438b3, 0xe672531c, 0xf681adc4, 0x67b102e3,
+    0x40395217, 0xe6dae614, 0xbed8fa96, 0xc1e9a3e2, 0x218b35e9, 0x0a3db393, 0x0132ac31, 0xc94a4c75,
+    0x4afc92d3, 0x91c339cb, 0xfb7aa67d, 0xba281746, 0xe220380b, 0x403f29f8, 0xa5454659, 0x030a72e0,
+    0x72258f42, 0x22f116aa, 0x48ab1518, 0xa0e20670, 0x7082545e, 0xd64166f8, 0x9406a2ba, 0x344f9670,
+    0xaa82e8da, 0xf37de9ac, 0xa0e3e962, 0x3e8748b7, 0x9aa53382, 0xb696789e, 0x2941ca3d, 0xb1e46c24,
+    0xd13c3605, 0xa22da41d, 0xb0e75973, 0x374d2eda, 0xf779d19f, 0xe0e996de, 0xdf15c299, 0x21bef978,
+    0x3d335522, 0x5f9bfc59, 0xfaa027ed, 0x3995271e, 0xb2bc50c4, 0xd941e35d, 0xd009051c, 0xdca6d4d7,
+    0x1019a75f, 0x094421e8, 0x8354223a, 0x113c856e, 0x9e136ef6, 0x2545368d, 0x28089c24, 0x4e99e40d,
+    0x162fe247, 0x6cedc055, 0xe24b8a23, 0x8ac0b8c0, 0x986e2a74, 0xea4909e2, 0x8d3e0a42, 0x0d0cca9f,
+    0x715df1c2, 0xda74bf33, 0xd698b04c, 0xe318cb4d, 0x44daea75, 0x34e365a3, 0x33fad1f1, 0x218d3dea,
+    0xb06d232d, 0x6e7a111b, 0x30c8b857, 0x86d687e4, 0x2bbe51ce, 0xdcad2159, 0xb85a2327, 0x3719ba5f,
+    0xda5ba5b6, 0x415e20dc, 0xe6a8723f, 0x1e8db9f1, 0xdb775b8b, 0xb4f51b24, 0x0508ffe4, 0x5649df29,
+    0xae6d48c6, 0x3aad6583, 0x1799dace, 0xe36d7e95, 0x99f7f7fd, 0xfa4a6924, 0x8a9c7e4f, 0xb03447d6,
+    0x5c89f5e7, 0x4cc49ac3, 0xd885956f, 0x69129b33, 0xc81f7756, 0xc5b6a7f0, 0x2463b733, 0x400f3298,
+    0x5ad71bb4, 0x30ac6090, 0x40b68266, 0x28bd01ad, 0x786eb9ed, 0x99d340f1, 0x4fb20255, 0xdc5ed63d,
+    0xcd94357a, 0x77d3dbe3, 0x85fb39ec, 0xff5e4aaa, 0xed4aee13, 0xa5591714, 0xd7fb6e7c, 0x76b7238e,
+    0xc11fadf3, 0x217aa794, 0x5b2d0ffa, 0xf4edcec7, 0x28e635be, 0x53f6a313, 0xf28697c8, 0xa4c66f0c,
+    0x1a2d969b, 0x0dfb4395, 0x1ba05360, 0x20e0577c, 0x08ca3126, 0xf20ed929, 0x40c418bd, 0x963946ef,
+    0xbd8bfed0, 0xc73d7300, 0x505c8140, 0x683b4353, 0x88cce0c4, 0x05d1e695, 0xa9d02417, 0x073c97bc,
+    0x595ae91d, 0x1f06ae3e, 0x28b0d3cc, 0x79b858ad, 0x96390a5d, 0x312014e4, 0xe1a53dbf, 0xb962aae7,
+    0x6d4b59d5, 0x52adbf94, 0xc370ad47, 0xb96a8557, 0x20e1d8f4, 0x6b65216c, 0x2269e002, 0xa3dc9811,
+    0x787a4263, 0xa6720d4f, 0xc46e2d0f, 0x0d8ac3d0, 0x43c4fbdb, 0x07e14d80, 0x90ca97ad, 0x59352308,
+    0xcee4e6e5, 0xdc01e32a, 0xd073893b, 0x132319f8, 0x93a55bcb, 0x32076990, 0x48894774, 0xe76a50bc,
+    0xe9199dd9, 0xb0d3841e, 0x2a1766e3, 0x234ce116, 0x087c0064, 0x86d4711b, 0x86def472, 0xfe7a5a36,
+    0xdd9aca4d, 0x56745765, 0x1096a94d, 0x3353e0f7, 0x204f2434, 0x05a15e24, 0xaf03dcf5, 0x0555bd2a,
+    0x6409ba06, 0x4277403e, 0x793eaff2, 0x43c9dfdd, 0xfea788cb, 0x6ca357bd, 0x6c9afcd1, 0x2bacb671,
+    0xbaa22ad9, 0x370c952a, 0x8c22fb40, 0xebf23edd, 0xfb28d2dc, 0xefa14c7f, 0xd9e2971c, 0xe57e2f73,
+    0x6e99396e, 0x5bf3ad01, 0x8ec39683, 0xb8eb57f8, 0xe7577ea3, 0xc07eb110, 0xbf3482ae, 0xb954aaeb,
+    0xd4d83275, 0xfc6760f3, 0x2648dd3e, 0x0f5ee526, 0xbe29671b, 0x76350b3b, 0x4ccbe708, 0xdd799cf0,
+    0xb8730230, 0x0d73ae9c, 0x82e5992f, 0x39383579, 0xa0d07de2, 0xbecd703c, 0x358175ac, 0xece5f1be,
+    0xd42e3810, 0xdb67da3d, 0x3dddbc2c, 0x9d9fbca8, 0xe3324e90, 0x5361f630, 0x74c4f82d, 0x00fdbcc0,
+    0xf888a476, 0xcc30b983, 0x7a3316cb, 0xdd333d85, 0x81acf7bb, 0x274af0d9, 0xa9360321, 0x613c2e20,
+    0x08aa3985, 0x0334a5d7, 0xf4136f57, 0xf3fdd8d4, 0x1067a8f6, 0xedb449ce, 0x33cdb951, 0x6ab0848c,
+    0x78df3819, 0x4da81840, 0x44d2b01e, 0x11707c05, 0x11cdb055, 0x40962a93, 0xaf006631, 0x71930397,
+    0xbb877efd, 0xeb267736, 0x7adc4ff1, 0xf21ea693, 0x64a99ba9, 0x55911cfa, 0x7c65ebd8, 0xe54bbf7b,
+    0xd38fafb3, 0x74c82497, 0x3d211a25, 0x1631001f, 0x9238723b, 0x908d7885, 0x3657e933, 0x23f77f70,
+    0xcabb53ff, 0x4ee40249, 0x5b3179ee, 0xeac18a6b, 0x0b66770b, 0xba68959e, 0xa2e05376, 0xd7acd3d4,
+    0xd27c4067, 0xdbaf7b29, 0xd13cf79f, 0xf8a44d07, 0x0ac73355, 0x046bc36c, 0x339d7bd2, 0x405a2ad3,
+    0x29bad72d, 0x10fadfbc, 0x3c3301ec, 0x20fca94a, 0xfb2e4cda, 0xba76490f, 0x200e0bfa, 0x2d4cbc92,
+    0xcd83527f, 0xf7eca7b1, 0x786ef83b, 0xe1fc7f0e, 0x146395ab, 0x390c4348, 0x2ac534f9, 0x015ea9b8,
+    0x40476b93, 0x54ec15a2, 0xb166384a, 0x13f86d08, 0xd233452f, 0x1c172dfb, 0x52c219ca, 0x8c9bbf31,
+    0x756cfb94, 0x0f060d75, 0xa279edd4, 0xeb0f1f7c, 0x0c321b81, 0xfcbe3362, 0x1ee355b1, 0x7e60791a,
+    0x7c9cbe02, 0x4422d36a, 0x6102e597, 0x94e3370c, 0x7a11de00, 0x04cf038d, 0x168cf683, 0x07f45f61,
+    0xf4b30d36, 0x79bf74eb, 0xe5f73d44, 0xac63b871, 0xdf48fed7, 0x354abb9d, 0x5465cb4b, 0x206d80aa,
+    0x8efecd1b, 0xa1712a0d, 0x1323352c, 0xda793d12, 0x0bc1a37c, 0xf2ce157c, 0xb29c3053, 0x111dee7c,
+    0xe33eca18, 0x802c2115, 0xf075d16a, 0x4d51f9af, 0xb509eb02, 0x81e62acc, 0x0da3c4e7, 0x0e56fc00,
+    0xf59b4e3a, 0xebc87ec6, 0x227d2ecd, 0xa3146ec1, 0xf2abd641, 0x24ed90ee, 0x35eb7192, 0xbffef533,
+    0x3e983b67, 0xa2bd8fcf, 0xc830a006, 0x7ee3ef6e, 0xa67d312d, 0x5cde9a41, 0x07037fdb, 0xce11340b,
+    0x06f36db7, 0x1337faad, 0x0adc485f, 0x5b5f9d16, 0x09b04300, 0x0412a617, 0x107de66a, 0xbbedf800,
+    0x00000000 }, /* 10**00000000015608742751579961156907986148965831528742990713324855754295784798126\
+                         85869409882810060153051531745985579913465560703311447723987839644142653145088 */
+  { 0x00000000,
+    0x40000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac80,
+    0x82e7859d, 0x06650fde, 0x9dd51f3a, 0x3e24beab, 0x63ad0bd6, 0x1435ee48, 0x0565ca54, 0xcff162cc,
+    0x00000000,
+    0x9eb07a6e, 0xa5f89356, 0x6fabaf63, 0xa7f50f6b, 0x5b8e4b23, 0x660954ba, 0xd42701ed, 0x363ce414,
+    0xdbf95329, 0x0571a9c7, 0xe82975b2, 0x3326f21b, 0x95c45f70, 0x2a402454, 0x3f92975c, 0xceff02dd,
+    0x30af9c98, 0xbde05d2b, 0x469a0d41, 0xe7d8874e, 0x7105d7a0, 0xc4236094, 0x2f71713b, 0x46b054bf,
+    0x98dcbd81, 0x1b198d68, 0x66cc5270, 0x3d734f23, 0xb2d3d52e, 0x548cbf3e, 0xfe2b7dc1, 0x78507c72,
+    0x58a52630, 0x9a138a53, 0xc13aff56, 0x793bb9e0, 0xa9e91e18, 0x32c89de1, 0x7ccb8dbe, 0x0b0a7639,
+    0x78ba732b, 0xf3754dd9, 0x2284a3ad, 0x2dc03e46, 0xc79d9f20, 0xf46e0385, 0x32e73730, 0x8ed606f6,
+    0x5504043a, 0x6df90971, 0x3ac7c3ef, 0x0975d9d6, 0x070d6b04, 0xb66aab53, 0xf134a7f7, 0xf0f58b03,
+    0x72054c9a, 0xd3463aff, 0x84f67019, 0x447cc320, 0xef6f2f61, 0x323ce905, 0x49ade863, 0xb56f7a8a,
+    0xaec893e3, 0x71daf37a, 0x6c832c3c, 0xcd1f990e, 0x6be45101, 0x9e5c89f2, 0x13804ad8, 0x3e8e3b7b,
+    0x35250dbb, 0xde0d39fd, 0xae9242a4, 0x2a1fc47b, 0x4705d368, 0x5e15774c, 0x7463ad53, 0x1c1058c1,
+    0x06949d00, 0x56bc07b6, 0x25d54b77, 0x0e566c42, 0x0ed17c0e, 0x8ad98b08, 0x79956659, 0xb4d4c01a,
+    0x53dba41b, 0x483163b7, 0xa466bdc9, 0x49d53160, 0x16c1b6bc, 0x265df02f, 0xb6ab6a47, 0xbd227c5b,
+    0x6834446c, 0xf64d8cf6, 0x0b48338f, 0x4315b925, 0xdfc9362e, 0x7c08104b, 0xc3f58cd6, 0x2647bac2,
+    0xb99fe218, 0x6e4bc034, 0x79e15e3f, 0x14731a48, 0x01c81dc8, 0xd7c1d532, 0x0aa13720, 0x6d14db04,
+    0xa1983ad1, 0x5e0fa927, 0x70f83296, 0x917ee0a0, 0xe119b025, 0xa4c2bb1f, 0xe684e74e, 0x507dfa22,
+    0x978b01fc, 0x5dabd4af, 0x36de7cfa, 0xc92dd9d3, 0x15401c04, 0x02e1f80f, 0xc6c26d72, 0xf17b9f0e,
+    0x6e66b3f9, 0xa35399c9, 0x65d076ef, 0x6d6585e9, 0x76308f01, 0x419d0d16, 0xa9460cbf, 0x7e057f92,
+    0x86ecb4e5, 0x7e5c77d8, 0xa3cd3f1c, 0x507f9e75, 0x0ab94b12, 0x53d8c141, 0x91d59d82, 0x452271bd,
+    0xcd58766b, 0xfaa49cac, 0x709cc68c, 0x4a4c2ff1, 0xfeb3f3d5, 0xfd374960, 0x345e3e57, 0x05f29130,
+    0x2d0ea348, 0x785a84cd, 0x5459a19f, 0xd34ecda7, 0xe2456e24, 0xc352d025, 0xc66f6309, 0x1387cf8e,
+    0x2dd722e2, 0xe89d44ea, 0xa83d6ca0, 0x3db89d1c, 0x7ba18ca5, 0x4287cc2f, 0x90c6cf93, 0x105f607d,
+    0x43aec32e, 0xe6888497, 0x60596803, 0x66495564, 0x00650740, 0xc065847b, 0xa4023006, 0x99f59a66,
+    0x5e3f29b1, 0xd2d3f412, 0xc64fd4d7, 0x3fa61b10, 0x99b08f4b, 0x4a369be8, 0x78157033, 0x2dc5070b,
+    0xf2ac0005, 0x61e09fc2, 0x371f8f83, 0xc8362d23, 0xfb56ad67, 0x90a85e31, 0x343521ab, 0x601abaa3,
+    0xb4e3ba4b, 0xd0c4b826, 0x9f5d52e6, 0x5e784475, 0x25c12dc7, 0x85cb008f, 0x7ca4ddf6, 0x9ca6f057,
+    0x4ee7a462, 0x4ca6eff8, 0x77678bd3, 0xa27944a6, 0xcc166661, 0x401fb6a8, 0x84c20db9, 0xf15943f1,
+    0xc1b9075c, 0xcc3410ea, 0xafd4b337, 0x5c3b593f, 0xee520f78, 0x1234ea5c, 0x261b5df0, 0x1f665fdf,
+    0x335e3633, 0x1cc10d80, 0x7e29c3cf, 0xc1080dec, 0x4933af5a, 0xf262d060, 0xae0d8267, 0xce6b927e,
+    0x30107a40, 0x176c2910, 0xcc8b1d24, 0xf8d18114, 0x243f1be9, 0x15c06254, 0x89539a13, 0x0dc8450a,
+    0xb7163732, 0xa8accdee, 0x0d8d21ea, 0xc0bef701, 0xf365e725, 0x9213434a, 0xe4b4809d, 0x69b0656d,
+    0x8a65ccaf, 0xcda0c2c2, 0x8283998d, 0xba0f953b, 0x0ece48ff, 0x0d6b7efb, 0x046100be, 0x74804395,
+    0x792d84c0, 0x13b46e3d, 0x33094cf2, 0x96bb44ba, 0xcdde6ec3, 0x27fb9563, 0x5599b4e1, 0x991baf74,
+    0x0abd0e59, 0x33855790, 0x091c72de, 0xe56480aa, 0xb94edb67, 0x92f4d3ee, 0x7903db37, 0xa8bc6bd1,
+    0xf62952b7, 0x82ba3f23, 0xac041a1f, 0xc2832c90, 0x16aa430c, 0xb7ab1e30, 0x6b492051, 0x49d8b3e5,
+    0xf2550851, 0x1c2c04d5, 0x0e2c3c8f, 0x204b73c0, 0xa6cdd3f6, 0x926ac4d3, 0x8f17527c, 0x6c54908a,
+    0x2dfe86d1, 0x09d92194, 0xaefa3e62, 0x36f0cd7f, 0xd414f042, 0x93dddb20, 0x1b828d90, 0x300363dc,
+    0x11037385, 0x085c5999, 0x62af93da, 0x29c4c566, 0x96d4f664, 0x542831ec, 0x32cfa121, 0x0e25753e,
+    0xcb4c6a81, 0xb5afce17, 0xd0f72724, 0xeeece9ef, 0xd90396ca, 0x5a7c37a2, 0x94c28c4b, 0x62b23352,
+    0x4829ee02, 0xb63a6184, 0x85d0dfbd, 0xc45bda84, 0x6b65db8e, 0x1bec1118, 0x65be3ca8, 0x9f863619,
+    0x7d98a18c, 0xcb298d4a, 0x52e7fd6d, 0x3407de93, 0xa685c5da, 0x42c0b7d7, 0x6d4bd00b, 0xfc1f1a28,
+    0xa2fd1b5d, 0x5ec23743, 0x62eb4f20, 0x4801e251, 0xda5d7269, 0x609911e7, 0x0ae41d0f, 0xe000bc1d,
+    0x135e56ff, 0xe0237380, 0x8c2803d6, 0x0c740011, 0xe7d33c80, 0x58d24606, 0xbd9e1459, 0xd09de461,
+    0xc10c878e, 0x95d07e80, 0xd5489ba7, 0xeafc76d0, 0xbea4a998, 0x3beaa2ae, 0x36765f63, 0x7406be00,
+    0xbf4a5463, 0x8a4eaae7, 0xdb22c7a5, 0xe1ccca07, 0xd0fb9923, 0x2746b897, 0x3bb61c9b, 0x5aa5a974,
+    0x8f170ca8, 0x43b2b4ff, 0xdea7cc74, 0xeb4295ee, 0x9d3a6e41, 0xfe9542a6, 0x508f403d, 0x41fd9847,
+    0xddfdd0b6, 0x7bc015d9, 0x885d1575, 0x76397c5d, 0x0958231a, 0x9dbc4782, 0x6fbca1dc, 0x13f8da46,
+    0xdde29e05, 0xcb94850a, 0xef0ee644, 0x54376f46, 0x6f6a8edd, 0xa349af5b, 0x8b859c8d, 0x166bff63,
+    0xf5d9fc6b, 0xbd28dfeb, 0xe1458ada, 0x99632b56, 0x342cdfec, 0x2f7fa9bf, 0x30214c78, 0xafc345c4,
+    0x0c6ae2bb, 0xff3364c2, 0x21531390, 0xfc710f73, 0xc47cf0d9, 0x7e8029bb, 0x1883b7cc, 0x05635976,
+    0x5e1f1044, 0x8b0fad9d, 0x7192b5b7, 0x11072634, 0xe5c273bc, 0xc807bdfe, 0x7160a586, 0x7a6844dc,
+    0xbc86afc7, 0xb75fc543, 0x38be6bc1, 0xa53742e6, 0x2aa2e522, 0xe69a37b4, 0xc5e26629, 0x01f3c2b4,
+    0xb7a58857, 0x08a92d46, 0x5369d6f7, 0x56da7614, 0x4e3330e2, 0x8787faee, 0xe36904cd, 0xdb420239,
+    0x5ce4274d, 0x2eb58b42, 0xaec59b29, 0x83a22f29, 0x484a662a, 0x07c0ff06, 0xa0c14a2f, 0xdb02e89c,
+    0xc64543ff, 0xedddb356, 0x9eb423a5, 0x0ad4530b, 0xbdb140a0, 0xb2b4bb1d, 0xa132ffe8, 0xb75618cc,
+    0xe5315990, 0xbaf4f875, 0x20a9006c, 0x2afc9269, 0x5285a8f4, 0xe712c55d, 0xd78ffcc7, 0xb311f153,
+    0xebe820b6, 0xd1f80c68, 0x49d48ec8, 0x7361dc34, 0x3486d526, 0x29474329, 0x75f73107, 0x53583672,
+    0x99d2b80e, 0x1081d4d9, 0x51fc7569, 0xd9943f54, 0x5f0706bb, 0xc9c2cbfe, 0x9e07e962, 0x26757409,
+    0x948f38c4, 0x60acb19b, 0x30ba9671, 0x26fbd965, 0x83958a01, 0xd636873b, 0xb6b83fd1, 0x9ced819d,
+    0x2200580c, 0x6fc8bd45, 0x6e6b14e6, 0x0f90974f, 0x0e811f46, 0x787a2909, 0x7403af91, 0x2ad4ff96,
+    0x09dc5fb6, 0xc9befeba, 0x197cfa85, 0x43a79fc0, 0xe9a082d0, 0xe5496b84, 0x33957037, 0xf1780f5b,
+    0x36e238f4, 0xbd1ad43b, 0x66a68347, 0x791a34e8, 0x341c8a11, 0x38af48e2, 0x0e13aa4e, 0x727c4dd0,
+    0x2bcddff1, 0x7414a704, 0x8f235745, 0xe0f3adc9, 0xcaf4c052, 0x07d6991e, 0xe593f7da, 0xbf3810dc,
+    0x304938e2, 0x4c746add, 0xd0bf8ddd, 0x28fc4fbe, 0xdc77fe40, 0x9e8e1cb5, 0x5c0e569b, 0xf018654b,
+    0xb3a515a5, 0x9d055761, 0xa911c96d, 0x0fea0358, 0x378f3968, 0x875b2d04, 0x2244abc4, 0x5ea114d6,
+    0xbb9c267a, 0xefef62d9, 0x06b917ce, 0x550827d3, 0x537f0666, 0xe4d6d3ad, 0x021164cf, 0x5c2f9969,
+    0x08635805, 0xd0c2edcb, 0x0f4603b1, 0x8a4d0a01, 0xe782a9d5, 0xce8a8808, 0x8d7e0475, 0xabcfb910,
+    0x866a6577, 0x91622a25, 0xd236fb7f, 0xd74c1d0c, 0x1c093d16, 0x6f301b7a, 0xce494a52, 0x60ace031,
+    0x7b63182a, 0x26d4c4e8, 0xf39279bb, 0x8ee3734c, 0xc21a04c3, 0x888f8afe, 0x9a515380, 0x9e29e1aa,
+    0xa80d1f56, 0x45bdf75b, 0x6953b565, 0x5a0b1fdc, 0x92f9a9b0, 0x3f9b483c, 0x02a77491, 0x9785687d,
+    0xdc155514, 0x216e02e3, 0x6db3ea42, 0xc0e20115, 0x15a890a3, 0x879e4171, 0x68bd4c9c, 0xa4d7d65a,
+    0xadce0cc7, 0x7ea59b32, 0x64a03d64, 0x13d83c80, 0x2401245c, 0xa81691ed, 0xbee7b9ff, 0xb5abd79e,
+    0x2607cc23, 0xca87999e, 0xb6f02e88, 0x39dc0697, 0x8847283e, 0x77fb44af, 0x40bb319e, 0xa2be1ab7,
+    0x6bc925d0, 0x044ef552, 0x5baa4237, 0xc48fffbe, 0x5aca5b82, 0x3c82a48f, 0x034eb54f, 0x6d81c239,
+    0x568b7e2f, 0xfea01663, 0x3a5580f6, 0x2ea8bb13, 0x89fd2c81, 0x3fcd5089, 0x6b4b5cee, 0xe6df1233,
+    0x8aea4509, 0xc5d27df0, 0x35388864, 0x5f5ecac7, 0x85fad7e9, 0x42c07375, 0xd79f8750, 0x1d3f588e,
+    0xc3e40dc0, 0x84250337, 0x406f2733, 0x1c65b137, 0xc4f75be8, 0x55c36f8d, 0x20facbd4, 0xf6f98c19,
+    0xcf074867, 0x90ad691c, 0xe3d7f090, 0x62cb39f7, 0x2ec1ad98, 0x0f24f7ed, 0x06aedefe, 0x37489997,
+    0xb031194e, 0x645231d9, 0x624439d2, 0x1ddf8529, 0xe60307d7, 0xd843e011, 0x500ee741, 0xa82f3b48,
+    0x29508f93, 0x2e65c51e, 0x0ede7e8d, 0x3e80ca9f, 0xbcd01194, 0x9a992e06, 0x9cf94fd6, 0x2f011205,
+    0x5f1ef5fb, 0x9b8838d6, 0x7a942215, 0x1af798a1, 0xe08d49ee, 0x4ad0fec9, 0x0ad3f3a8, 0x049bc185,
+    0x23e26145, 0x02b14819, 0xdf52698c, 0x4d1db101, 0x54e333d7, 0xf9c08605, 0xe1e097ad, 0x0874aac0,
+    0x090633b7, 0x372f9667, 0x0d6b4f4f, 0x697c6263, 0x5368dcba, 0x0af91580, 0x6abf7e22, 0xedb91857,
+    0xe6622299, 0xab3c7aae, 0xe581b35a, 0x8686932c, 0x879a00b4, 0x56650613, 0xeab989b4, 0x1d3aaa03,
+    0xf04d1570, 0x706bfdc7, 0x7992563e, 0x61bcbd07, 0x3bdd6b44, 0x9c71f3b6, 0x8cfb4f8d, 0xee0b03ae,
+    0x87ff332a, 0x02405f79, 0x5fef93ee, 0x088dff85, 0xdb453c02, 0x714ca036, 0x532a7ccb, 0x88a97cf5,
+    0x680450bb, 0xc4c9d2d2, 0x62a8000b, 0x9351a450, 0xca1db9a9, 0x03f8f38c, 0x8245dc7b, 0xa090678c,
+    0x18502a54, 0x25e47cc4, 0x79a14db7, 0x6bfd33ed, 0x6ebf6aa9, 0x3aeeebc1, 0xa95a6b18, 0x168fd634,
+    0x4fe47125, 0xa91a914a, 0xe21cee3d, 0xf7db8036, 0x74c7b292, 0x159d602b, 0xac6b2918, 0x9459d97f,
+    0xf75bb490, 0xbc25ed8c, 0xe57ffcf1, 0x0ff1706a, 0xfbe561cf, 0x294f1a13, 0xd51b1bd9, 0xc7eb57fc,
+    0x8acb7f1f, 0xc5c12908, 0xbfe76730, 0x9dcac3f5, 0xb9c16b7b, 0x0c68d459, 0x8af35e07, 0x42d1f00b,
+    0xebc27e6c, 0xec352a60, 0x7498145f, 0xb602dff7, 0x02bc6daa, 0x52ea8b80, 0xd120a21a, 0x19b580cf,
+    0xa7dbba51, 0x84947b3e, 0xc907adfa, 0x9d5a06d7, 0xb4f695a7, 0xbbdbc84d, 0xcd041e0f, 0x6c0a1de2,
+    0xcfaf7a04, 0x9df2257c, 0x0b9a2487, 0x062bbfdb, 0xe57201d1, 0x5ef1bc3c, 0x9b82aec4, 0xf635ea65,
+    0x5615f7a9, 0xe2339f1b, 0x91ff2c2c, 0xc4be7fed, 0xae05469d, 0x9712af8b, 0x471f2526, 0x972f8067,
+    0x33ea907b, 0xc5835f3b, 0xa2923a5e, 0xdd81403d, 0x4c355c53, 0x79fd2652, 0xe1db8d37, 0x1c54fc90,
+    0x27535b07, 0x9c255033, 0x978a9540, 0x63988218, 0x68c3bfae, 0x747d57a4, 0x6bb39fe7, 0x80726b8f,
+    0x61ff6d3e, 0x37940513, 0xfbbc7903, 0x66b0cbe6, 0x34511e0b, 0xb2620262, 0xecf75c41, 0x2c2475ef,
+    0xb8ee84c8, 0x90c3ef4d, 0x4ea0dc62, 0xa36b0937, 0x65763b13, 0xa750d452, 0xa5cbe1b5, 0x116de783,
+    0xb718a452, 0x12eaa527, 0x07169147, 0xc44fedc0, 0x581c8fe6, 0x9113085c, 0x016a8338, 0x2413c405,
+    0x4f1ce694, 0x660385c0, 0xc091d80f, 0x09cdc115, 0x298676ee, 0xa2351fdf, 0xbd6c8984, 0x1ef250db,
+    0x6dcaff5d, 0x921f8f4f, 0xd034f237, 0xe1925d4c, 0x3a3cb409, 0xf427e778, 0x48f5e1c2, 0xf6af41b5,
+    0x4303785d, 0x9183b2db, 0xad640fc1, 0x669826a2, 0x6bc96897, 0x43ac3234, 0x15cb0304, 0x051627b4,
+    0xe35774cf, 0x5c4f8531, 0x19aa2586, 0x12c684aa, 0xe3012a63, 0x9721e87b, 0xfae8386a, 0x4693dbf1,
+    0x161b0850, 0x4884edd0, 0x4756c47b, 0x839b11d6, 0xf1d97235, 0x6fd9a534, 0xece9a4fa, 0x4ad958c8,
+    0x7f6fc24c, 0x922bfbf3, 0x2d455ac9, 0x75e51547, 0x6d8a6f7d, 0xef2d7412, 0x41f19d46, 0x9cb3f2af,
+    0xda24c8d6, 0xffa2b79d, 0xc46d796d, 0x43b28d60, 0xcc3266a3, 0x97af17a1, 0x03483d6a, 0x08358f12,
+    0x72949406, 0x99c0cce8, 0xb8a271c7, 0x181fa0cf, 0xcf4fed16, 0x776cfd9e, 0x0e86b57c, 0x1ef1a018,
+    0x2d1c7e07, 0x5ffd7624, 0xe6cd951e, 0x34fd16dc, 0xb966e637, 0x4da8101e, 0x3546693b, 0x71a2f509,
+    0xe6e48028, 0xdbe4d575, 0x87cb3926, 0x20740ed8, 0x55a2f451, 0xf7e5826e, 0xf04266ad, 0xf2864e13,
+    0x876a54dd, 0xf2e7b9d4, 0xe85052dc, 0x6acf99ed, 0x75c18c57, 0x455123bc, 0x18aaaac8, 0x1be5e770,
+    0xac766696, 0x53459e90, 0x1012ba7b, 0x8ddf9d61, 0x6845a8c9, 0x373461cc, 0xa0cdc535, 0x3c0223a3,
+    0xaf11f260, 0x6fa62416, 0x8f4a16d5, 0x1c6e939f, 0x504d4cb9, 0xa7f0c725, 0x383d76db, 0xdd288776,
+    0x3b1ecc46, 0xd0a7e911, 0x6ebe59e0, 0xc0ada29b, 0xec2edc8a, 0x9a5b1084, 0x1784a9f3, 0x4ffd33f2,
+    0x3f1390ed, 0xaace69dc, 0xe84ac125, 0x7c0d151d, 0x9c692987, 0x79092890, 0xc3012d41, 0x1b55056c,
+    0xb8fb6042, 0x59ebe945, 0x18aad76a, 0x41e8b669, 0xe669802f, 0xed062692, 0x9725bce9, 0x1d2e5ba3,
+    0x5f329f98, 0xb73df0fa, 0x3a5447b4, 0x48de302d, 0x3beccd16, 0xc3e24598, 0x6c501f4c, 0x334e00d9,
+    0xc5be4cc2, 0x15947710, 0x02d6d988, 0xa73a4f05, 0x387894b0, 0x51b40144, 0x5ed423f8, 0x01036752,
+    0x2e6b6ad8, 0x053e9fdc, 0x9557d0d8, 0x9fa031b5, 0xd72de45c, 0xe4a9a215, 0x31b9fcc3, 0x9463ac00,
+    0x587825da, 0xcebb8046, 0xf3e457fc, 0xaf1dc0f6, 0x6fddfc77, 0xc205dcb8, 0x36945e11, 0x7bf80646,
+    0x1f47a932, 0x92670a9a, 0xeaa7c1b5, 0x63a3d374, 0x2a27def0, 0xf0b45c7b, 0xb1bbded5, 0x350d932a,
+    0xca3fc916, 0xdc717b4f, 0x6612759b, 0x5113e1be, 0x222c60b4, 0xb0c56c2c, 0x33ccc200, 0x15f0fbc7,
+    0x4541ac8d, 0xb461e398, 0x400ce1b2, 0x28c012b8, 0x3d4abb37, 0xa121e8bb, 0x69ad8392, 0x9eb8f45d,
+    0x47896a5e, 0xd72077b1, 0x3e7c0ef2, 0x1dbda967, 0x7f1487f1, 0xa8034000, 0x2fc3adbf, 0x2798da8e,
+    0x48e33548, 0xc9c6a7cd, 0x338a9833, 0x04a9478c, 0x8f0a27be, 0x06c10053, 0xa763a976, 0xb60526fb,
+    0x28b78acf, 0x2e4a9b28, 0x9e5aec64, 0x4eeeb057, 0x363b9b0d, 0xc4bd0f08, 0xab10ac4d, 0xc4c0c288,
+    0x78b607ac, 0xbb0097a8, 0x5226b054, 0xce91aa40, 0xa835ac66, 0x4e17e273, 0xb843e96b, 0x8cbff252,
+    0x00000000 }, /* 10**00000000007804371375789980578453993074482915764371495356662427877147892399063\
+                         42934704941405030076525765872992789956732780351655723861993919822071326572544 */
+  { 0x00000000,
+    0x40000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db5640,
+    0x4173c2ce, 0x833287ef, 0x4eea8f9d, 0x1f125f55, 0xb1d685eb, 0x0a1af724, 0x02b2e52a, 0x67f8b165,
+    0x00000000,
+    0xc98e1e45, 0x72367602, 0x8a1d1b2c, 0x8fe8f059, 0x3a620e2f, 0x3713fa40, 0xe6bb08a6, 0xa3d23bd9,
+    0x2a35cbff, 0xe4189e48, 0x5538cfb7, 0x27ceea7c, 0xd2699d38, 0x6138a1d5, 0x9f38a8ae, 0xa1fcfbd8,
+    0xa6c55534, 0x7c7f9e95, 0xe4e50ff5, 0x2334d47c, 0x18f6e3d4, 0xa738edd4, 0xcda59b84, 0x6eea26cf,
+    0xd7f7ca35, 0x6941a19d, 0x911688dc, 0x368ad241, 0xbbf92bc2, 0x84da88e2, 0x2956a501, 0x95c09ef9,
+    0xa4de5434, 0x148af4b3, 0x7fe3860a, 0xceeb22d4, 0xb214f91d, 0xc83a8e22, 0xf84014b4, 0x867e1410,
+    0xcb714251, 0x04163365, 0x02ed5e4f, 0xc693a588, 0xbf8c1fc1, 0x8d767b6f, 0xf54ea6f2, 0x0539d3a8,
+    0x4fbc265e, 0x8006e17e, 0x6bfb8bce, 0x8f65f0cb, 0x13e1f239, 0x37722124, 0xae6445d4, 0xf38fc3be,
+    0x54c20db1, 0xed53b363, 0x393e2a2a, 0x9cbe4a2d, 0x3e7cffb7, 0xaeb540cd, 0x39c9483e, 0x58395ba2,
+    0xeb67fad7, 0xd4125692, 0x46d1d682, 0xffd047c4, 0xacc7b22d, 0x1dafa1be, 0x73cb0fb4, 0xf4c32886,
+    0x15bbc98d, 0x787fcde1, 0xad028113, 0xfefdfb28, 0x84b1dfe0, 0xb2e26c26, 0xb303dc26, 0x173fe9bc,
+    0xcb690159, 0x97ec3a5b, 0x126d47c1, 0xfca9b6bc, 0x3c2df000, 0x07f090a4, 0xc216df46, 0x8e336150,
+    0x43f65434, 0x4595a772, 0x4cc79706, 0x940df65b, 0x17124aee, 0xcbc2f1c6, 0xa53e494d, 0xba27a70b,
+    0xd8553a5f, 0xef59de78, 0xb031fa03, 0x0ff063ee, 0xc9c78417, 0xe439c001, 0xfed60e67, 0x2107c40d,
+    0xe14e681d, 0x3b2daae2, 0xf9a91e66, 0xeba063c5, 0x8d8ad541, 0x5dbad85e, 0x934a1c54, 0xcaf15192,
+    0xf7eae4da, 0xc1059f80, 0x150b5917, 0xd1566314, 0x951c399f, 0x56c6694b, 0xb691528e, 0x86c83f58,
+    0xd88be013, 0x70925782, 0x09c6c9e5, 0x9ba91e57, 0xa6bddf6c, 0x2207f9fc, 0x059d0e2a, 0x1a87edbe,
+    0x81f6ced0, 0xdcee7332, 0xb1d32460, 0xe51e279d, 0xa9d5ffb6, 0xd487fe0b, 0xd0c0f346, 0xed05b1ce,
+    0x2cb20f73, 0x328e0509, 0x3d0685ba, 0x4f5cf62a, 0x69eab972, 0x070f007b, 0x5f47f013, 0x901a7528,
+    0x2c3e86ee, 0x2f7f4461, 0x78a4e0e6, 0x172c5c12, 0x0866853e, 0xa72076fc, 0x6d8d363e, 0xefa57fb2,
+    0xe149ff9e, 0xca87d743, 0x9fc986b4, 0xd9fd35ae, 0xa922101a, 0x5e078e00, 0x6c5ecfd6, 0x11cd78c3,
+    0xfdc80c84, 0xa3ef6dc2, 0xdeb5726d, 0xbdb11c7b, 0x0196e3be, 0xa70ff44a, 0x16a624f5, 0x0ba22351,
+    0x0d972787, 0xaff641cb, 0xaa8457e7, 0x3e0f4e1d, 0xdaac923c, 0x9fed4637, 0x35205433, 0x61c080a2,
+    0xb8b5df26, 0x06ad4e5d, 0x52ddbe70, 0x20c90b9e, 0x5b98f48e, 0x8096725f, 0x26e4f831, 0x176061a2,
+    0x360829e0, 0xda6adeeb, 0x90f3e2e0, 0xe99de1c2, 0xef46a5c4, 0x30ec34fc, 0xec637d68, 0x43e2aa86,
+    0xf22e6099, 0xd22709bb, 0x1bf8988d, 0xda025266, 0xcfef41c9, 0x13aa98ed, 0x9aff1f2e, 0x767f878b,
+    0x7e84322a, 0x17daaba2, 0xeed9c087, 0xf0d02bec, 0xb1b909f8, 0xd0ff20d4, 0x00bc62d4, 0xf1bff379,
+    0x19a324bf, 0x073cd0d2, 0x1f6b6b60, 0xa60d5e4b, 0x06b6622b, 0x5618f317, 0x8b154414, 0x63fcae35,
+    0xd136db8d, 0x77dc2988, 0x8264154a, 0x001a8a68, 0x9297b2cc, 0x970ea3ed, 0x6d25cd73, 0xb790ebbf,
+    0xefbc6a40, 0x75755973, 0x59719924, 0x058d54d4, 0x689d77bf, 0xea3ab5cb, 0x446cff1c, 0x29cbf818,
+    0x616dc699, 0x33c1916a, 0x7c367bc1, 0x6f2ea625, 0xd9cd49e6, 0x43d78ab3, 0x3f28e110, 0xb3cfdc15,
+    0xf3205fa4, 0x9aad360b, 0xcef07d4d, 0x5e2768b0, 0x4c0e5e24, 0x0ffab6fd, 0x016649b4, 0x8997c91a,
+    0x4fc89ee2, 0x8fb3d817, 0x39024e11, 0xecc2015e, 0x2226f808, 0xed59a766, 0xd8840ef8, 0xf98f5c18,
+    0xe032dfbb, 0xa3fae77b, 0x406ede44, 0x36e3e385, 0x1c4144ad, 0xb7058bf4, 0xc0b4f11f, 0x9168a52a,
+    0xff6b8ef4, 0x256fec95, 0xff0818cb, 0x59b71afb, 0x7ad46f3a, 0xfa105474, 0xc6a3b2ae, 0x4b9db385,
+    0xcdadb95c, 0x9a5f36c0, 0x343dc5ec, 0xfaa059d2, 0xe4502af1, 0xdb64f945, 0xd2cb6813, 0x744328b2,
+    0x26a15fbb, 0x0825c639, 0x8f86a594, 0xb7530e89, 0xad7d7f6d, 0x33edb6c7, 0x28e48523, 0xdacb0cf1,
+    0xe867e15c, 0x851dda34, 0x14b8a64e, 0xe0fd2eb2, 0x9e92db7a, 0x639c528a, 0x7f0ee98a, 0xbc923a4b,
+    0xbdcc0ab7, 0x1a91bc59, 0xda14b1ff, 0x0f82c275, 0x9a9e292c, 0xb60fdfd3, 0x4de60e06, 0x78396ca0,
+    0x45c97616, 0x5b7410e2, 0x2ebcd6b9, 0xe6de5a9d, 0x84c7fba5, 0x69a52323, 0xe3c5d01a, 0xd9bb1ce7,
+    0xd8b9fc87, 0x99ce17f2, 0x6f8e69f2, 0x2df38fb3, 0x8e256414, 0x2e09a8f6, 0x12960453, 0xfe10d4be,
+    0xd701746e, 0xc5337bbb, 0x6005bdf9, 0xca47eee6, 0xa040fa08, 0x6b231284, 0x602b1019, 0xf0a6561a,
+    0xd07d6667, 0x67b72fae, 0xa3864d1d, 0x7a8f10c5, 0xfcaf9cd5, 0xb2743c4c, 0x861a9d61, 0xb5f25524,
+    0x603ca044, 0x728fe07e, 0x33679ad7, 0x6ce8cf42, 0xeaa264a8, 0x06e056d6, 0x8f7b04f3, 0xbd403d6c,
+    0xb46f4c8e, 0xe7974f99, 0xbbd88461, 0x36346870, 0x80ddc48e, 0x75dc6002, 0x11b696de, 0x67a248b4,
+    0x3bc7104b, 0xf3cf1f8b, 0x25e853c4, 0x17a411b4, 0x34fd4a18, 0xf96edb4f, 0xc0899705, 0xc0b6c0fb,
+    0xe21ab6cb, 0xa91c435a, 0x21104396, 0x98f333c3, 0xd348909d, 0x93691098, 0x9eba19bb, 0xa92869cc,
+    0xc032c890, 0xbca3d7bd, 0x6d4d7f9b, 0x8e774276, 0x24069589, 0x92fc508b, 0x63dbe9af, 0x084ddb61,
+    0x95d8decf, 0xf541382c, 0xf57cf284, 0xdf0b5053, 0x1a8e8f8a, 0x6630a82d, 0x3e5ee79f, 0x85cfb7ee,
+    0xdb861dac, 0x51a36363, 0xf970da1c, 0xada3434e, 0xddb655a3, 0x7d20565a, 0x07e0b2ab, 0x1eae45a6,
+    0xfaba315d, 0xfd2dd29f, 0xcd388e46, 0xafbd0eb2, 0x87766f95, 0x6653a031, 0x89af08ad, 0xee7399fb,
+    0xedca5e8e, 0x5922d981, 0xd08201cf, 0x79f5098a, 0x56719888, 0xdbcd3f19, 0x58e21b7d, 0xf757016e,
+    0x9b645350, 0xc81ab415, 0x74d51c43, 0xb3339953, 0xde155278, 0x5bcc77ac, 0x6d09939e, 0x9693eca0,
+    0x8a77f753, 0x9ce489e2, 0xd40b3286, 0x49d53c68, 0x1687c4dd, 0x2d365f5a, 0xd2ed5ca5, 0xf5caf0e2,
+    0x57e9a682, 0x73e68bc8, 0x80e67668, 0xdad2b846, 0xc1c052a1, 0x126195c0, 0x9e6607f2, 0x90a2185d,
+    0xd35369a6, 0x6cd41f51, 0x4bf9073b, 0x0801d3bd, 0xcd09c9e5, 0x46b8d98b, 0x12574156, 0xc0d5f34a,
+    0x4b3a4e8a, 0xc2db6fdb, 0xe656ac5f, 0xecf2a738, 0x66e6fc42, 0x3e48a3cd, 0x5b7b5c5a, 0x308f1721,
+    0x6b4c3fde, 0x30585e67, 0x8d1e02c1, 0x43b6a4c2, 0xf0f7006d, 0xfbeadc96, 0x2e650065, 0x8f88100b,
+    0x2fc346d5, 0x79d2585b, 0x5f3bac80, 0xf5887ee2, 0x866f05fc, 0x45c56c52, 0xcad56782, 0x4db192ce,
+    0xf500492e, 0x8a20137b, 0x18fbd540, 0x98df246f, 0x062085bc, 0xe7d45973, 0x91225bc6, 0xc9b0bc33,
+    0xd340d1d2, 0xb530e829, 0x33ad437d, 0xffa24ea8, 0x2c76f77c, 0xb73db6a1, 0xb3550d09, 0x0b5cb791,
+    0xf5091e1f, 0x8ca77e93, 0x2cc49061, 0xa1c01082, 0x39123d47, 0x9110c606, 0xd8f45b57, 0x68d1853a,
+    0x3f7af49a, 0xd23bbf4d, 0x17d102de, 0x6a55c5e1, 0x30802e9c, 0xbb9cc5c6, 0x146054ca, 0x065d93da,
+    0x36a66762, 0x5f57e86b, 0x8f7764f4, 0x2ad722f1, 0x39eb598c, 0x3c9bd911, 0x99f563d1, 0x527c45b0,
+    0xa2835126, 0xc61dddc1, 0x85c1f071, 0x26a564d3, 0x02d107da, 0x70450a3d, 0xde30c9f3, 0x92374fb0,
+    0xaaaac418, 0x626fc9b9, 0xfecbfc1e, 0xd376271e, 0x9ed002c6, 0x69333456, 0x82b3be31, 0x0d228f4c,
+    0x31a09d17, 0x04b7cbda, 0x4c2c5713, 0x50b91f32, 0x1c5d6e60, 0xad3e2092, 0x06b3cf84, 0x937fb61f,
+    0xd8c2f244, 0x74d7a82f, 0xbc6dd6d3, 0xf0e58062, 0xb3ac8c73, 0x895e9e04, 0xe773261b, 0xc39f30bc,
+    0x4f9ef62d, 0xbe811954, 0xe41b875a, 0xf9f72a25, 0xd7057694, 0xcfdbfb19, 0xe08349c2, 0x3c5273f2,
+    0xfbc06612, 0xe77d9251, 0xa911b0f3, 0xf550bd71, 0xbc400c23, 0xfe56c9c6, 0x3e66db6c, 0x3b655827,
+    0xf365a1b1, 0x7a2a288c, 0x330d9ebc, 0x3b1cf67e, 0x9dff1541, 0x90f1e4f2, 0x0244c4f6, 0x1ea26717,
+    0x4c974c4e, 0x0508c990, 0x219ca9a1, 0x71343b5e, 0x39eac1ca, 0xa5c07830, 0x22b9b680, 0xbc18f5bd,
+    0xf9f611d9, 0x2273a68c, 0x22e94d92, 0xae9709e7, 0xc9d1c722, 0xe1f65f91, 0xb056da27, 0x4f430d0b,
+    0xb3272849, 0x27a5d55c, 0x53c87521, 0xf6f48566, 0x0e3894f7, 0xaae21def, 0x879af8de, 0xd8e76d89,
+    0xae81bcee, 0xac076555, 0x16333a8e, 0xff276fad, 0xeb50e61b, 0xcd659e91, 0x67092ef2, 0xf6154927,
+    0xbabc79e9, 0x69701205, 0x275d9eea, 0xd7fb9b35, 0x8bdb2b81, 0x326bed59, 0x9636231e, 0xd924c16b,
+    0xa846b982, 0x1e59129c, 0x402a0edd, 0xfe56285f, 0x35e46819, 0xbce52bc5, 0x20f3c750, 0xebe6e8bc,
+    0xf7b6b497, 0x75b3853a, 0x33b5b60c, 0x777187a5, 0x343060a5, 0xdea303a3, 0xaac8af7f, 0x6aa4adf2,
+    0xbaf1881a, 0xab910d6b, 0xb5729e3f, 0x89849388, 0x39b7652e, 0x5c3ec466, 0x61985a44, 0xb1f9d73f,
+    0x6b824eed, 0x23102d80, 0xd09d2b11, 0x9dd94c1d, 0xb82ab94a, 0x3da2e8b7, 0x167cff05, 0x621089a7,
+    0xc1b12280, 0x298fc6db, 0xbb6b2473, 0x29ab50c9, 0xd2e3b2fc, 0x34e79f54, 0x5faf19b8, 0xb5731719,
+    0xa4aacd0b, 0x4803bd7e, 0x0dfc8685, 0x411082d7, 0x3aac6383, 0x03ec12d1, 0xe1299377, 0x095ddc3d,
+    0xdc35a94b, 0x84858f84, 0xb981ff8e, 0x3ba1f0d7, 0x395d5c57, 0x9cefb398, 0x58981c54, 0x4ae36295,
+    0x2b69d140, 0xf8d5ec1d, 0x1e51f2c0, 0x85d7fe56, 0xb98c4c01, 0x7f8150bb, 0xce918e38, 0x267385df,
+    0xdb60b2d1, 0x0bc15612, 0x615d990e, 0xea62c6a5, 0x86282c36, 0xc8528700, 0x8eb0ddc7, 0xb8f82239,
+    0xee5830aa, 0x49aa59d9, 0x9656f841, 0x4e3b1104, 0xf419bfdf, 0x448a58d2, 0x2ef76ddf, 0xf436e740,
+    0x673852af, 0xdf466a55, 0x3e0ae8c5, 0x1d61f843, 0x3f61c306, 0x6e64cd40, 0xe3cf6883, 0x5f1e444d,
+    0x7968ba9a, 0x3d375c96, 0xac18a429, 0xf0d50e03, 0x7d2c1e0c, 0x4539c8af, 0x11296431, 0x1a2d9725,
+    0xb92a8327, 0x04afb873, 0x181456a7, 0xad5b1102, 0x7a0f6a89, 0xd84d5d64, 0x9fad1615, 0x338f3060,
+    0xa1904f0a, 0x02db3298, 0xf16d6a72, 0x8d094e46, 0xdc491747, 0xb4b8c526, 0x8e8612b0, 0x4de0f283,
+    0xf58b218b, 0xc081c871, 0x473a4358, 0x21e33520, 0x38df5ae5, 0x3027ad81, 0x226f39d9, 0x90e4f613,
+    0x4d7c9dbc, 0xc4daae4b, 0xfa98cf3f, 0xd60ff344, 0xa32df7f5, 0xd7690ebe, 0x6758146c, 0xb0d181ab,
+    0x3652e03d, 0x96b7bad8, 0xe0683301, 0x4d7f3154, 0xf34752fb, 0xf87a1783, 0x467bcb8c, 0x708aef10,
+    0xf9d2eccb, 0x05487267, 0xf3dc11fe, 0xf69ab539, 0x8cf9a82b, 0x97920f8b, 0x5dc903d8, 0xb80122dc,
+    0xaad7764c, 0xc5f58086, 0x6aa7e04b, 0x1d1bc423, 0x956d301c, 0x0073835e, 0x07f6a604, 0xe59efaf5,
+    0xf89f8dab, 0xf046ad9b, 0x96fb7b4b, 0xbd59909e, 0x80458f84, 0xc82550c1, 0x579e30ed, 0x7920c0e2,
+    0xf860bf2d, 0xa1ff7411, 0xa3a3b31a, 0x2c9b98d3, 0xe75fc9db, 0x965bf102, 0x0c130bb0, 0x448effc1,
+    0xc54203d0, 0x833b9e84, 0x614a55e8, 0x030655fc, 0xe35f45fc, 0x5ed21287, 0xb0c8be7c, 0xa2c95639,
+    0xba38d2c5, 0xba4e6345, 0x8f8d5633, 0x1264ff7b, 0xfade1849, 0x53f4ed11, 0xf8f6894f, 0x0af1ce5b,
+    0x388c68cb, 0x9e30764c, 0xe2a6cf96, 0x8448489a, 0x9ae3ed6b, 0x71965f72, 0x0d5b6f6d, 0x81fd95df,
+    0x8148734a, 0xdd94f34c, 0xae0aede2, 0xab001e71, 0xd0e8024b, 0xc2807d0c, 0x346bdb11, 0x5efbbc6c,
+    0xfebece86, 0x7634ba04, 0xf2e13b29, 0x37bf61ac, 0xbd6d2ca7, 0x15cf2f96, 0xf5ed07e6, 0x2efe0e9e,
+    0xa131cd41, 0x106c2b3a, 0x9b139bae, 0x4c764a8f, 0x544f3797, 0xaf0ddc2c, 0x14d5b1de, 0xb0d554cb,
+    0xdf03ec58, 0xbbe9b2c2, 0xf93630d3, 0xb733f6de, 0xedb65c55, 0xc48a1d79, 0x4bbd9032, 0xd8123782,
+    0x38cd8a62, 0x963adb77, 0xb677f287, 0x02174441, 0xb70264f1, 0x4211f562, 0xc02fce91, 0x333d3a0e,
+    0x73425732, 0x662f4089, 0x2ffdb303, 0x93f94995, 0xac991099, 0x02f80dc2, 0xa69d8aba, 0xe3da4bc5,
+    0xa90f815b, 0xc2a2f7fa, 0x9436b4e7, 0x8a282065, 0x826f70ac, 0xe89ead42, 0xb725f0d3, 0x545a9acc,
+    0x69b72da6, 0x97e044b7, 0x76bba49b, 0x6d32cb17, 0x049c4d9b, 0xb9751195, 0x87629d2b, 0xb9f5ba8c,
+    0xbc1d1d42, 0xe09585a5, 0x9154dfc4, 0x8f62eda1, 0x521c4d97, 0x722531e7, 0xc41910a8, 0x0374e3d8,
+    0xeb4a99c7, 0x2c5be92d, 0x09420d6b, 0x2222d67c, 0x29ada03d, 0x9e5ca51c, 0x0748d7a4, 0x2f7d0b86,
+    0x3f1ccc3c, 0xa053a317, 0xdecc7fe1, 0x9288d653, 0x440a43e1, 0x8a4ec605, 0x2060543f, 0x2c203492,
+    0xca8503f8, 0xa4b247cf, 0x0fc5a0b0, 0x215a8d09, 0x20ab2ed1, 0x142203f1, 0x1dd2550a, 0x6a54aa51,
+    0xe53c2991, 0x9ff89449, 0x8d0cec84, 0xcc2a4be2, 0x0d19a491, 0x9d451fd7, 0xba78f2dd, 0xa4152c4e,
+    0x6f06459d, 0xd4972f28, 0x2354976e, 0x7d090f00, 0x3623eb91, 0xeaa9363f, 0x1d70b422, 0x06f86ce8,
+    0x558e93f4, 0x1dbf1c13, 0x4ae44604, 0x522f5644, 0xde58353e, 0xf3a59fab, 0xbdd0f351, 0xcfcb837d,
+    0x844306f9, 0xc6bdca38, 0x40ae8260, 0x533ade4a, 0xb0ca8b1b, 0x147f3c3d, 0x99e9844a, 0xff094f48,
+    0xa7ed12ca, 0x6863f260, 0x20f5462e, 0xa9b3f42b, 0xcdddf5f6, 0x34bdb8e2, 0xca6d0107, 0xe77ecba7,
+    0x21e1fbcb, 0x48a32c26, 0xb376eb98, 0x6543b469, 0x5f22e52c, 0xbb9fd2ab, 0x789b93f6, 0x00c1f670,
+    0x9cb13022, 0x38b33579, 0x370c8240, 0x4501d554, 0x7d43ef74, 0x8539a87d, 0x05de51e3, 0xc9c9ac80,
+    0x105c0990, 0x708a55ca, 0x606c978b, 0xe01bc78e, 0x8b25a10f, 0x4c4f68cc, 0xf1c8e4b2, 0xa75c8ce0,
+    0x3a56ca58, 0x11b4520d, 0xfe909e28, 0x0b3cf006, 0x863aab74, 0x212b825f, 0xc94a5d68, 0x546fd889,
+    0x9342443b, 0x45f6c691, 0xf9ca6362, 0xb566d8e9, 0x50088662, 0xd0380c49, 0xa2ef6ec5, 0x4f5ecdf7,
+    0x9980c626, 0x552d873c, 0xd507f720, 0x651a8cef, 0x850d0716, 0x37217bef, 0x770376d8, 0xdfcdba9f,
+    0x7edb44dc, 0xe5769047, 0x7d4f21ad, 0xb7c4549a, 0x77929152, 0x7dc17293, 0xe1200218, 0x5fe6ded1,
+    0xce0560f0, 0xc0bfc7ec, 0xe3118a4c, 0x672a144d, 0x6b4a8327, 0x339ef3c4, 0xd2c38942, 0xc0e0f6cf,
+    0x352a89b4, 0x9eb7483d, 0xb9b6852b, 0x16e73318, 0x67185776, 0x802d5bfb, 0x4c9b4ee6, 0xf14b7ac5,
+    0x822e5ce6, 0x3aadc3e6, 0x11a023ff, 0xe071eaf0, 0xb2fe7211, 0xe9148872, 0x0223430b, 0x1c3fadd4,
+    0x00000000 }, /* 10**00000000003902185687894990289226996537241457882185747678331213938573946199531\
+                         71467352470702515038262882936496394978366390175827861930996959911035663286272 */
+  { 0x00000000,
+    0x40000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20,
+    0x20b9e167, 0x419943f7, 0xa77547ce, 0x8f892faa, 0xd8eb42f5, 0x850d7b92, 0x01597295, 0x33fc58b2,
+    0x00000000,
+    0xa09ef05d, 0xb631fde6, 0x984a169e, 0x31741cc1, 0x28f19b49, 0xc32c2e93, 0x0f945531, 0xd7c01a08,
+    0x25f4e877, 0x1880865e, 0xdd4a7e04, 0xa401a7d2, 0x50cc689b, 0xafe097d5, 0x0b7c4673, 0xc1ca6fd6,
+    0x6b5769df, 0x0dcb144c, 0x07584bb2, 0x847a2797, 0x53a30094, 0x5c0ec94c, 0x5604a828, 0x37ab49e5,
+    0x7122f0b1, 0xcac2bb72, 0x49409902, 0xe26669fc, 0xd1103c59, 0x32fd5cfa, 0xcab551ad, 0x686ad7b6,
+    0x3d660f4b, 0xbf2f9db6, 0xea781aaa, 0x1bbe1aab, 0xc9c08a0e, 0x3ef045b2, 0x158ede49, 0xc6d0ee2a,
+    0xb1e39ca4, 0x8ba459d8, 0x5a205999, 0xa1975065, 0x7645064c, 0xb676556d, 0xc001a532, 0x90813fbb,
+    0x3d4955ba, 0x8ee82afb, 0x545ad2fb, 0x3f6b606d, 0x0889d9d6, 0x0d4cdd54, 0x70bcfd10, 0xf984c8c4,
+    0xcca6f9f8, 0xa2568696, 0xa0fea09d, 0x33425d42, 0x76fa7e1f, 0x50976ba8, 0xd86e3a07, 0xda3d5383,
+    0x7f8cf97d, 0x40d6b75c, 0x05a8f5a4, 0x250cb139, 0x512b3a5f, 0x4e76d916, 0x77fa1a8a, 0xfa7a03fc,
+    0xdb55f010, 0xc12d01a0, 0xaa66e6e4, 0x5e7e06b6, 0x701f1e24, 0x2600f9ac, 0xab49ce24, 0x3102dfe9,
+    0x5dad3827, 0x72cb61e4, 0xa1176cfa, 0xf2a785ec, 0x0210a156, 0x7336c547, 0x0b73bdd1, 0xa42688ab,
+    0x7db22db9, 0x7f7d2d05, 0xe15b7e68, 0x0e6a9b04, 0x34bbac19, 0xbc09f62c, 0xb6a69710, 0x6af5e9c0,
+    0x4f1f7860, 0x1e6402f7, 0xcb3ac5e5, 0x2ea29c35, 0x09613f00, 0x6d9de522, 0xafc03750, 0xff0fa9e3,
+    0x63dc59eb, 0x110405cc, 0xd0096b98, 0xda77c7b5, 0x1c6428fd, 0xc8b7d397, 0xfad706ab, 0x4dee077b,
+    0xe5ac34d0, 0x71175c4d, 0xdbf70ad2, 0xb9313a45, 0xd4714825, 0xa5d319fc, 0x90c859e8, 0x4a903011,
+    0x9e1fdad8, 0x9a02aea1, 0x19b46eed, 0xd789e01a, 0xe09477f4, 0xb4e272e0, 0x817403a1, 0xc55391a5,
+    0xb877dc22, 0x0985d5c6, 0x601eb15f, 0xc553a5ef, 0x44807d78, 0x4b16269b, 0x1e6fdd0e, 0x260784e1,
+    0x3b51b344, 0x2fe35dbc, 0x12bd44e4, 0x2ea20dfb, 0x73a97a2c, 0xddabc12d, 0xe111a2cc, 0x0954e64e,
+    0xf852af6d, 0xe2b4f8d0, 0x12182d6a, 0x025ff6e6, 0xea2936ff, 0x74ef5ee6, 0x78fa80ac, 0x211598db,
+    0x52880ecf, 0x499a7660, 0x01e74213, 0x62a1afdb, 0x376fc938, 0xa95bfeb3, 0xb758b52a, 0x2b3bdcb7,
+    0x9a897579, 0xd3d20075, 0x5d9fda3f, 0xab4db5c1, 0xe12b2ede, 0xc568b2fc, 0x795a2540, 0xaa8b89f3,
+    0xf50c44b8, 0xaf58c1bc, 0xa824deea, 0x0619ac59, 0xa365fce9, 0x43809338, 0x988be8f6, 0x95d18797,
+    0xca0befc2, 0x3993c371, 0xee7fb2d7, 0x7a3e97ff, 0x11ef0894, 0x3476097b, 0xc6e9db13, 0xefa388a5,
+    0xed405a60, 0x3dfd1566, 0xaeec5665, 0xd9fc55c6, 0xb7a53cfa, 0x9cb6baf1, 0xf633fe82, 0x15d05653,
+    0xf4010408, 0x8ec90d55, 0xa4d4d32a, 0x3278887a, 0x853316da, 0xffec595d, 0xdf064ddb, 0xc6092280,
+    0xf7ce342c, 0x1ca6e4c6, 0x4849f87c, 0x8364b716, 0x24312143, 0x9aed29f0, 0x188981a2, 0x58a96e94,
+    0x74142338, 0x1c0c3f76, 0xa1e38e68, 0x7fecc960, 0x3bbc1082, 0x8492f41e, 0x79f2aba2, 0x075444d0,
+    0x6a4b314b, 0x2cb50676, 0xe40ff566, 0x325c0cdc, 0xa4c95bc8, 0xb3b5be5c, 0x36de5513, 0x3078999a,
+    0xecceb251, 0x68420ce6, 0x56e62d30, 0x8c2bda34, 0x308952df, 0x2ecc2855, 0xf8289290, 0xd4b54be5,
+    0x2e922cb5, 0x7a526ce1, 0x72943a01, 0x27ac1177, 0xbac5cfdf, 0xe7e3d7b1, 0x790345aa, 0xa0330632,
+    0x6b5841c4, 0xeb21ab11, 0x76fc0ce7, 0xf1ac5a14, 0xf83a100d, 0x59b9a450, 0x6cd94aa8, 0x295d0fa0,
+    0x747b0233, 0x3d6a11bc, 0x8fc00383, 0x5cbdaf65, 0x2154e132, 0x991d7951, 0x88206249, 0x07036db8,
+    0xdbf4d2be, 0x97f6292b, 0x1a23ff62, 0x2995c57e, 0x29198f0f, 0x0532e9b1, 0x9dc0952b, 0xcb390b2f,
+    0xbbb7f6e0, 0x136c1dc0, 0x11813c07, 0x64a4c2f8, 0x71a21c4c, 0x893890ad, 0x6a6934bf, 0x1b36b882,
+    0xbd3c6330, 0x43f63aa1, 0x8d33affe, 0x36899d66, 0xbe0598df, 0x93d1b99c, 0x4256615a, 0xabdac281,
+    0xc0f13502, 0xc2b24cd2, 0x870c7517, 0x057304aa, 0x4487cc17, 0x4cd0b8b6, 0x5912662a, 0x0e820422,
+    0xa1af809b, 0x7bc4eea1, 0xd9770879, 0x4ee2a4ae, 0x9e549b1c, 0xa7d12d6b, 0xd5ae873e, 0x205b2117,
+    0xae5424ed, 0x6ef6e328, 0xd2328beb, 0xf2b4a016, 0x4d5a24d0, 0x6be2b4e7, 0x92c57568, 0xb9243552,
+    0x78903c97, 0x6ccce546, 0x106e762a, 0x62b1e716, 0x7be05ad5, 0x219d5575, 0xd2484775, 0x254576b4,
+    0x27f254d4, 0xc06f9795, 0x35843a4f, 0xae9dca09, 0x782c0d39, 0x560bb011, 0xc4e8f7da, 0xc625934f,
+    0xf8fe51d3, 0x696e7177, 0x71f5d027, 0xf6298116, 0x1056cf72, 0x92533125, 0x63e7e6b2, 0x120c80d2,
+    0x949f1e5d, 0xb4752eb0, 0x4b6590bf, 0x8c4cc425, 0xc17e9f6b, 0xbf618849, 0xa8d6302c, 0x53a2e968,
+    0x8cb8952f, 0xafb41386, 0xa408d77e, 0x7bf32c32, 0x7dfc557f, 0xaf9106ae, 0x57e9ccb0, 0x7c431edf,
+    0xb98e4551, 0x2d6f14a8, 0x6fbca4fe, 0xf9c1c255, 0xfb5e5fc2, 0xa80ccab2, 0x09fc9760, 0xb3d381c2,
+    0x045ce4f9, 0x2ae7e106, 0x3ee04099, 0xecf38fc4, 0x9d43838f, 0x2eeaa0ee, 0xfb1240db, 0x2dd7f766,
+    0x5ba988da, 0x307160b5, 0xbc252578, 0x998293e6, 0x59d459e4, 0xab675b16, 0x0096f2a8, 0x2373c873,
+    0xb9c2280c, 0x6b20b16e, 0x284c2611, 0x35d04220, 0x255224aa, 0xf2b16542, 0xe28ccd59, 0xea69603e,
+    0xb1194998, 0xe930a316, 0x2c0d9c6a, 0x6c091bc4, 0xb95c2f68, 0x36a9ea9c, 0x060c99c1, 0xcd7800eb,
+    0xd01d2bb1, 0x00c2166f, 0x0e1c175b, 0x88ebd93d, 0x92e48ccf, 0xad4bb971, 0x441126b6, 0x404f9311,
+    0x06f78af8, 0xac9077b1, 0xa522a60d, 0x229fec54, 0x2711c8c9, 0x48232db5, 0x9cdb52b9, 0xd3b0ff09,
+    0x46084403, 0x91b645b7, 0x40d89718, 0xdf47f2cc, 0xa7d77673, 0x00fe3a3a, 0x1216d890, 0x0e1313d9,
+    0x6ca61aeb, 0x54230fb1, 0xe726dc64, 0x28148ddd, 0x297ec63c, 0xd8a7f9ac, 0xcab330cf, 0xee890e8b,
+    0x433ea2c8, 0x8dd37404, 0x4adc4ea4, 0x7dd66819, 0x8dce91dc, 0x614a368b, 0x99332442, 0x5e40e539,
+    0xb12037c3, 0x733677fc, 0x98de87e4, 0x275692ae, 0xf61e65ed, 0x151ad296, 0x8fcfb086, 0x1956b517,
+    0x0e01cb84, 0xae7abc7f, 0xca938942, 0x7fc0df65, 0xc9d19447, 0x84225a28, 0x85bc2814, 0x99eed193,
+    0x593bd1ee, 0x2eb6a2a3, 0x348f331f, 0xbf251e17, 0xb0afeb92, 0xb5758ded, 0x647beaaa, 0xc6b14348,
+    0x916f717a, 0x586a6b94, 0x4aeb952b, 0x7ee7b4d8, 0x038c746b, 0x82814ccc, 0x21243f56, 0x78ed1561,
+    0x2b6a88fb, 0x8e09ba65, 0x2e61ec28, 0x3b039af3, 0x0d6c427f, 0x86d733d0, 0x1dd4065e, 0x2731faf2,
+    0xae4bbc52, 0x8d824c72, 0xd7d8408c, 0x0df12551, 0xf46a7835, 0xa2c39186, 0x2f81152e, 0x6aaa48df,
+    0x9613f433, 0x3dc5aab1, 0x57f30207, 0x52615b22, 0x8350dcdc, 0x7d131d8e, 0xc3a434b1, 0x7bc75500,
+    0x803050ca, 0x64e9b997, 0x855ad39b, 0x39f16637, 0x9e4e878d, 0x1fd0b93b, 0x55b5d112, 0x4af32ae3,
+    0x6a168d25, 0x1d7e4368, 0xe14b8011, 0xae568e5a, 0x247e93ec, 0x19eab3b9, 0xbbe05c1a, 0x9c024d51,
+    0x7c3e5507, 0x0bf28312, 0x711177cc, 0xe81a87a9, 0xd6e6f61a, 0x53445c22, 0xc7b8e563, 0x5b040969,
+    0x01d50975, 0xf7c204dd, 0xf5328ec6, 0x6d021d1e, 0xb4dc10d5, 0xabd56e70, 0x6ebe7e5f, 0xdf86a2d7,
+    0xf67662f6, 0x8feb3c8f, 0x5e2d6e93, 0xc71dffd5, 0x34e02459, 0xc3b3e7c1, 0x20071d16, 0xf6d6f5c7,
+    0x05ecde3d, 0x4eb02166, 0xcf59942c, 0x3614c8c6, 0xf0e1be5e, 0xee5260cc, 0xebf52250, 0x6d91eb1e,
+    0xda071b6b, 0x51e25f03, 0xd43352f2, 0x4cff3ea6, 0xcb0defc2, 0x1276a48c, 0xfcb53f65, 0x1fa2e212,
+    0x95e1656c, 0x40367bb2, 0x94492b7f, 0xb695f12d, 0x3f1d1794, 0xa9098a5b, 0x4ee1cb54, 0x5fb63b7b,
+    0xfd161e8b, 0xbeef0b28, 0x682a2e2f, 0x4f5d7831, 0x29a20179, 0x1f47b3f6, 0xaf12c073, 0x971805e6,
+    0x300cb659, 0x7a9b522b, 0x48f1aed5, 0x500b83f7, 0x4e7822e5, 0x74cc821b, 0x42f85286, 0x200a34a5,
+    0xdddf0992, 0xef1fc46c, 0x6eea4238, 0xaa95c3cc, 0xec16ef39, 0x1abf0633, 0x96857c13, 0xc58dc1df,
+    0x60182b3b, 0x08df23c6, 0x21e6e2e5, 0x0ee22512, 0x0205d8e3, 0xd58daa84, 0x282a3081, 0xffbca554,
+    0xf02b2c7f, 0xbf80bf47, 0x42881b80, 0x5785617a, 0x3e619175, 0x6de31264, 0xec3ce52a, 0x81f75dc1,
+    0xdb475f9f, 0xce43658a, 0x5a946345, 0x1c3d6684, 0x1c8a810d, 0x5c688c90, 0x74f84e00, 0x9dcdaa84,
+    0xf3a85a6d, 0x7babc5b5, 0xc6da4b7e, 0x8ee22a79, 0x04fd30eb, 0x7e300ced, 0x2cd63a27, 0x55186988,
+    0x6ab44154, 0x3f78bba3, 0x6ce42a7f, 0x18d983e4, 0xff10056e, 0x3c87eda5, 0xb40cc2ea, 0x0a42fa37,
+    0xe8f7fbe8, 0x88824f57, 0xf96d0c72, 0x4a5757e5, 0x573bfe4d, 0x59b682cc, 0xdbf895ae, 0x8ab05b24,
+    0x57fa2b49, 0x0803b842, 0x7478dd99, 0xcd26bc2d, 0xcc57d551, 0x16803426, 0x01b62896, 0x719ef5b5,
+    0xa0842981, 0xb0be602e, 0xb9ed172d, 0xfa4c6aca, 0x091ab5ee, 0xeaf4270d, 0x526ac5ef, 0x25bf6105,
+    0xda5ebfec, 0x715f9042, 0x97114a73, 0x51ee0002, 0x646657cb, 0xe1ac957b, 0xffc0c34c, 0x1dd8a2f4,
+    0x117972d6, 0x3d611f42, 0x725343cc, 0xea48e942, 0xafb185b1, 0x7ae03929, 0x864ba203, 0x7970bbde,
+    0xd50acaaa, 0xbc5a0d88, 0x6581517d, 0x40c77122, 0x3173f2a1, 0xec9d93c8, 0x51205657, 0xc539094e,
+    0x87edaae5, 0x867c4496, 0xe885ea1a, 0x83a3f90a, 0x7b8025d9, 0x46f72d27, 0x3adc58fc, 0x2ddc5e8d,
+    0xfd80446b, 0x14ee3b6f, 0xc7060b4d, 0x7839c79a, 0xed4e5aa2, 0x722d3f53, 0xb78a59fb, 0x0b37e2c9,
+    0x7dcee27d, 0x6222c2aa, 0x27d8f8f8, 0xc980abca, 0x24a7ccd9, 0x25e79890, 0x107fd83f, 0x9a1f4e75,
+    0xbf2b7035, 0x1783ed7d, 0xcfe17e5e, 0xc1acd5f9, 0x111804de, 0x2348a133, 0x115283fd, 0x8626560b,
+    0xc20bf89f, 0xcef19e90, 0x269c518d, 0xa4feb89a, 0x53667657, 0x0f6e4050, 0x8034f7ca, 0xaf8cca9b,
+    0xba546b6f, 0xba9b02d9, 0xeee0f7de, 0x9e82a783, 0x1d056c67, 0xcb5dc1bf, 0x58b938c5, 0x776bd632,
+    0x1e1262e1, 0x62f3b863, 0x77da7a63, 0xf7117330, 0xc59db4b7, 0x9dd1ce9b, 0x69629fbe, 0xe647e3c1,
+    0xde9f2dbe, 0x69d70d98, 0xfcbc3c6f, 0xdfdf012b, 0x79674c77, 0x340b40c8, 0xe662271e, 0xb569f52d,
+    0x346f8504, 0xa97334a8, 0x8b949776, 0x8ba08639, 0x85daf404, 0xa995780d, 0x37d49860, 0xbe920b40,
+    0x8d4961f8, 0xeea473fe, 0xf06c8267, 0x2a1167f1, 0xedccb13b, 0x5cea9b49, 0x95606b76, 0xb786f71a,
+    0xc236ed64, 0xc83b441b, 0xe894efe8, 0x6f0aa2da, 0x0bb1df6d, 0xc494add6, 0x940259c0, 0x85e7e736,
+    0x3dd4c8e9, 0x9b0120af, 0x9307b369, 0xa138b692, 0x3a08c211, 0xe5a66b34, 0x5f9f0dd3, 0x8ff8a000,
+    0x36d9e354, 0x4c0cc1b7, 0xd8765a09, 0x4ffff5b3, 0x1123ca19, 0xebd9f0e6, 0x24f7ab1b, 0xb83cae93,
+    0x5d011086, 0xf7c24ba6, 0x707a1464, 0x7aa8fc1e, 0x7507c65d, 0xb9f0fa8f, 0x36204cee, 0x7b30379e,
+    0xd5ff3da3, 0x0d2115ee, 0x0700d23d, 0x689ac1e8, 0x5fc71939, 0x26fe3aeb, 0xc6bbf094, 0x90a2fc78,
+    0x1a019854, 0xcc61cd76, 0x5ef71ac3, 0x2fe046d3, 0x278f75a2, 0x1027486e, 0x40c1f2f5, 0x9940596e,
+    0x3f8ac645, 0x32bd325f, 0xdda6f2d6, 0x725ccb03, 0x28490b45, 0x0856e5a6, 0x24f71310, 0x51ff946d,
+    0x9adfb3cc, 0x0e692d3f, 0x56292ee1, 0x4b8296ed, 0xcd8f693f, 0x74932867, 0x4baa3750, 0xf0ee867a,
+    0xec7e0dbc, 0x96986c76, 0x9b2a374a, 0x79371436, 0x9f2ab17f, 0x43f11e02, 0xfa2df173, 0x7bf50540,
+    0xd803ab22, 0x4183e410, 0x133a8229, 0x24a8c682, 0x45700cf4, 0x6d24282b, 0xf79b858f, 0x444d392e,
+    0xbe5aebe2, 0xe7855742, 0x6f65e878, 0x4daa45fc, 0x8138e51b, 0x005eac4d, 0x356a0b0e, 0x51d6ed62,
+    0x9feda3aa, 0xf4b71d59, 0xc7560c79, 0x451335cd, 0x127fc2a4, 0xbdaefa87, 0x31e3cd3d, 0x64b1c470,
+    0xa080ecdb, 0xcd83f503, 0x178f9bc4, 0xaf1ee8fe, 0x7c54b2c2, 0x2e9342df, 0xbbc7e81a, 0x501f3c76,
+    0x2797a54d, 0x16e0b011, 0xcc375b3d, 0x695e5cd9, 0x47ab9115, 0x82f4b69e, 0xa5d9d7a2, 0x94eada7d,
+    0x33b7d086, 0x63ad00c8, 0x7427a5e1, 0x540ba5e0, 0xd90c7697, 0xda9e66a3, 0xc59dc79d, 0x8a6e7205,
+    0x1c8fc928, 0x15da3c2c, 0x06205455, 0x6a2e12c9, 0x75d5e8b8, 0x2fe3d7b7, 0x735fe56d, 0x3f6c9a48,
+    0xdfbcebd9, 0x6c924967, 0x974ec94f, 0x439a053f, 0xc993c1d9, 0x5dec4287, 0x917e0927, 0xb2c97179,
+    0xa8e844dd, 0x8dfbfa36, 0xc72f48d6, 0x15eb5ec5, 0xcc44dc38, 0x8d4e2be2, 0xd30c037f, 0x12909c82,
+    0x8bedd9b0, 0x993f9f5b, 0x176eb25b, 0x2e1c6e74, 0xa4264632, 0xedb6961c, 0xfe5c42b9, 0xbdfa74e1,
+    0xc20d5208, 0x97b89405, 0x2ce84685, 0xe7fd01a5, 0x264441bb, 0x8cba3472, 0x2668459b, 0x2dd16e14,
+    0xf95b0d14, 0x4f5d950e, 0xa0f81e7e, 0x66f0470d, 0x8c4916e5, 0x38e28331, 0x75b9c284, 0x3a04d085,
+    0x169bfa92, 0xcefd24de, 0x94801e3f, 0xf0598eb0, 0xb58c4af3, 0xdce0190a, 0xfce47448, 0xadefc5d3,
+    0x9e6e6e30, 0xd3cf466c, 0xbe1d4d97, 0x98dd95a6, 0x86ea5023, 0x0322d1dd, 0x761559c3, 0x252eea39,
+    0xe75dbb08, 0x3dfd30bf, 0xac86ecd2, 0xfe723f1d, 0x9b9b16fd, 0x10e2c6ed, 0xb0d152c2, 0x8346b9f6,
+    0xcbeb3b84, 0x73f27dd8, 0x2bb529d1, 0xa170d524, 0xfa052a28, 0x4bebc29d, 0xfa0e2c69, 0xbbb4d1b4,
+    0x5ded6276, 0xf6aa0ad7, 0x4946c627, 0xfb8b9624, 0x299214ac, 0x01164150, 0x3543ea32, 0x2677fb29,
+    0x0697f666, 0xd5e8489a, 0x9f1201b2, 0x9553b627, 0x38265683, 0x79bab219, 0x91cefb60, 0x14cb00a8,
+    0xba57b86d, 0x49507bbf, 0xbc583ca5, 0xe087efc3, 0x07dcb41d, 0x5fc01ace, 0x3bd93ac6, 0x8d3063b3,
+    0x0510dc59, 0xe2899a0e, 0x25fc287a, 0x36b797d7, 0x451d7d02, 0x25da3ce6, 0x8640dbce, 0x8843dfd6,
+    0x6800ee4f, 0xca4d88c4, 0x64835e31, 0x03d7a4a0, 0x3b3818c7, 0x07798ced, 0xa1f113c9, 0xfa35f72f,
+    0x47149ab8, 0xcbee0ca2, 0xe05a9d99, 0xa9e4870c, 0xfd2501d8, 0xaad9e55a, 0x1de4ee58, 0xc26d227c,
+    0xc781f034, 0x002c129b, 0x2f64e5e2, 0x43e1b6f7, 0x3c5996c0, 0xd00596cf, 0xc562c2be, 0xc04213f7,
+    0xed1453ca, 0x9dbbe882, 0x33ef4e2b, 0x864c1b7c, 0x31fdf313, 0x2d802839, 0xd086183b, 0x2072c104,
+    0xf1f108ca, 0xf5f0ac41, 0x91efb914, 0x62c83547, 0x4a8e431b, 0x92b7c8f2, 0x5010c4d6, 0xe524e6d8,
+    0x00000000 }, /* 10**00000000001951092843947495144613498268620728941092873839165606969286973099765\
+                         85733676235351257519131441468248197489183195087913930965498479955517831643136 */
+  { 0x00000000,
+    0x40000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590,
+    0x105cf0b3, 0xa0cca1fb, 0xd3baa3e7, 0x47c497d5, 0x6c75a17a, 0xc286bdc9, 0x00acb94a, 0x99fe2c58,
+    0x00000000,
+    0xcac72e81, 0x818639c3, 0xa65e031a, 0xbfac33fb, 0x263fbe1b, 0x9aeaf3c1, 0x07f39cf8, 0xbfe355b2,
+    0x93dfd1d4, 0x10fdbd7e, 0xb07c19f7, 0xa75a3ce4, 0x6146a551, 0x21a9ee12, 0x4de51c15, 0x00dbe0f0,
+    0xbbf8ebd8, 0x701dcc4f, 0xf991fd0a, 0x15181687, 0x0d0908d6, 0x2d21ce36, 0x5f342984, 0x4fd6015a,
+    0x5e5bef95, 0x9796eaaa, 0xe69e692a, 0xb5fbc9e3, 0x55775c86, 0x4da01ee4, 0xeb603b7a, 0xd9d48808,
+    0x388456a2, 0x5505d06b, 0xedf059cc, 0x5999b112, 0xd20ff369, 0xfe8fdca5, 0x87fd3e01, 0x07286133,
+    0x75d29c85, 0xe6aff4da, 0x9a94bded, 0x222f601b, 0x1ddb1a8b, 0x63ec1ee1, 0xf0416d2e, 0x69d14cfe,
+    0x1cd5b5cd, 0xbcd8c6b2, 0x14880882, 0x19964921, 0x74914ded, 0xe661d9f9, 0xcec18e1a, 0xdedef675,
+    0xab47829f, 0xbec59eb7, 0x9a6b33ba, 0xd2d62077, 0xeb6516cb, 0x255cb4d6, 0x6d640c01, 0x8a1aab4c,
+    0x7d125b11, 0xaad95626, 0x3ce4410d, 0x5cae251d, 0x60c81be6, 0x66dcc0d1, 0x77973270, 0x881020e8,
+    0x8811d56f, 0x7e80c9ad, 0x7a2467b8, 0xcf61d7b4, 0x80925d9b, 0x852c0b21, 0x0d78f752, 0x7f3c13f0,
+    0x1ae9b349, 0xba5068e1, 0x50a90640, 0x05b7df44, 0xc7839870, 0x12343a1a, 0x021e8a18, 0x96a39526,
+    0xe663798d, 0x0fee1d04, 0x5d1d8ccf, 0x818fdb19, 0xf028754a, 0xd85e3774, 0xf8230003, 0xb11f11dc,
+    0x41eb2475, 0xc4bee299, 0xe2e2f4d3, 0x14307460, 0x92ef628b, 0x18733e2c, 0xe6283874, 0xbf1c281a,
+    0x30e7a705, 0xeb87659d, 0xe2cc4bf5, 0xde74d392, 0x31c2237c, 0x10660506, 0xdaaf11cc, 0x30b82767,
+    0xbcfcb117, 0x102b2ed4, 0x445afc1e, 0x71ae719c, 0x0fd45d78, 0x350b626a, 0x4430e2c3, 0x299cba4a,
+    0x5e06c637, 0x67ec9f57, 0xb75dab0e, 0x46c98831, 0x4a00b48c, 0x1eec4682, 0xfa475de5, 0xbb0e122c,
+    0x87a54fd2, 0x79a077f7, 0x23b2267c, 0x2a1c5308, 0x90014f73, 0xba144482, 0xe2a002fd, 0xb33f8517,
+    0xbc353f73, 0x6eddd6b3, 0x5598e752, 0xd2baf426, 0x4c0b3e3c, 0xd3cf1a0d, 0x2d890b94, 0x50fee4e8,
+    0x83734b0e, 0x309fd6f2, 0x42a9f026, 0x442b1258, 0x6821856c, 0x0afee698, 0x29377aa7, 0x76df74e3,
+    0x8260ba4c, 0x6443fa5d, 0x00ea7ced, 0x84d15e40, 0xf5faeab0, 0xed495438, 0x214e838b, 0xc54f7173,
+    0x5b5d4679, 0xc12edded, 0xae85ed4d, 0x3cb1b58a, 0x89590003, 0x7c253f2a, 0x07f3d734, 0x81f12e7a,
+    0x4e259bfe, 0xca842311, 0x68a4e734, 0x8c3e177c, 0x82c63b29, 0xd1a37c34, 0x98913d54, 0xfcf688e9,
+    0x8d5aeb55, 0x4af6d34e, 0xfb1fe44f, 0x9e88e92c, 0xbdff2caf, 0x3b10ed92, 0xc7bfa3bc, 0x4789d14d,
+    0xfb58b19e, 0x8f3a773a, 0xdc9eadb7, 0xb0392d20, 0x697a81dc, 0x7966b6a1, 0xc7f70966, 0xf1bc5c70,
+    0x6cc0087f, 0x952ac5aa, 0x274cac14, 0x10a1f0d6, 0xfc10abac, 0xd7aac915, 0x06ac20aa, 0x56a48d0e,
+    0x57ccf589, 0x9e96cb3f, 0xdb4a07e4, 0x891586a7, 0xe8c0dcbb, 0x8803ba7c, 0x1be6b0c6, 0xac824bfb,
+    0x36e6d523, 0xe88275fb, 0x526f42df, 0xd1971f56, 0x07d771b1, 0xf183b87d, 0x824974a4, 0x405db8ad,
+    0x3816bc0b, 0xe9e32fb3, 0xe47a5f8a, 0x0c3ec8c3, 0xfd5e4289, 0xd97d3464, 0x27ad8ff5, 0x7a849db1,
+    0xbf36eb8b, 0xf716c1d8, 0x998db0b0, 0x171cd6a4, 0x1a5faeb8, 0xc0ee1ed7, 0x23a9256f, 0x9d60b1b0,
+    0xa4c0cefb, 0xefa57f26, 0x0ef26970, 0x7a04ef87, 0x357f1bcc, 0x6d5167e7, 0xf77c57d8, 0xa3323ad0,
+    0xa0c8b4a6, 0xc8fe8057, 0x26da33c8, 0x894b2412, 0x97447c7a, 0x927fbdcc, 0x0c5ab32a, 0x3137c679,
+    0xdc53c1b0, 0xb1f26f8c, 0xda92d6b1, 0x86e20e4e, 0xf0f13307, 0x5ce0360a, 0xc889e80e, 0x198b0179,
+    0x4f885c8d, 0xe919f9a6, 0xae26e64f, 0x46172387, 0x761d24df, 0xc9b90b6a, 0xe7aeb384, 0x63c8ffcf,
+    0x43587cef, 0x64e6e4f0, 0x9f6644e1, 0x22100e62, 0x9764e28e, 0x7b36043d, 0xe31b72ea, 0xb07cf972,
+    0xca5c7bbc, 0x4e7c3ccd, 0x5eb38b1a, 0xb2e77ede, 0xa3537b58, 0x28bb6a4c, 0x2d545080, 0xde8498f2,
+    0x2c715b7f, 0x24639ed1, 0xcb3d1bf6, 0x2a654401, 0x4cc0b4e3, 0x2deccaa8, 0x21d0338a, 0xeb2115a3,
+    0x186ece60, 0xdb36ff00, 0xcc0982e9, 0x21cedf4b, 0x6eeaebd6, 0x1103bfb3, 0x079d39f2, 0x8b29db14,
+    0xfeec6b41, 0xafff5086, 0x940aba66, 0xca14e810, 0x91721270, 0xb6d61272, 0x495f350b, 0xc78fc38f,
+    0x3e7c6793, 0x0d1e8fd2, 0x12d64b8c, 0x165a70e4, 0x9bab4731, 0x8ca04251, 0x3181f1a5, 0x74c6f980,
+    0xa7f24886, 0xc8bbc377, 0xd371073b, 0xf762d134, 0x23ed1b13, 0x0588a9b8, 0x0b4ce110, 0xdd860a3a,
+    0xfc182aa7, 0x98cffa8b, 0x69233d45, 0x6e3f4cbb, 0x05462483, 0x759bf9d2, 0xe8f468bd, 0x4e475d0e,
+    0x243eb488, 0xfeb6e28d, 0x2b2c31f8, 0x9a389e7e, 0x08c371a3, 0xad9794a3, 0x6992fbd7, 0x84989311,
+    0xb3b52091, 0x8dd7e96d, 0xac7d751c, 0xfe4e007c, 0x087c9bcf, 0x69064dd4, 0x6dee3e1c, 0xc9524816,
+    0x9ba20b3d, 0x44bd00cb, 0xf46c2562, 0x7c9ddc17, 0x6e4f5c86, 0xf3255a1f, 0x6c0a6851, 0x71423389,
+    0x95e2f9fe, 0x571ea708, 0xf039b9f7, 0xe9cf35fe, 0x6d7171cf, 0xca4af4dd, 0x90ca72ba, 0xa002cf08,
+    0x215e372f, 0xb53119a1, 0x7f73aa8c, 0xeff321b9, 0x401ae5e4, 0x076d6062, 0x61fadd9d, 0x91a0fc44,
+    0x8471cafe, 0xf31e26a5, 0xc5a1147b, 0x04993815, 0xf984d912, 0xdaeff08f, 0x995e3c64, 0xef89a359,
+    0x25721ba6, 0x9820b50b, 0x0ad1f811, 0xba1ef2a0, 0xc0d6fdaa, 0x0a1e2bb4, 0x7124d354, 0x8f24c26e,
+    0x5450e941, 0xa1f84349, 0x5bfb5462, 0x7e57cbbb, 0x4b04c69e, 0xd4080b80, 0x1aaec4a8, 0xc4142419,
+    0x438b6ff7, 0xec28de6f, 0x7917def2, 0xbe9563a3, 0xca9d6811, 0xb078f780, 0xe3f895ed, 0x04940859,
+    0x8a2ea09b, 0xe628d8d5, 0x867aa83a, 0x473204c8, 0x1eb97a6e, 0x497ea33b, 0xb641d59e, 0x459093c2,
+    0xa39ce307, 0x15db8644, 0x6fc608c8, 0x87164858, 0x48e346c0, 0x00b35ac7, 0xa90ec7e0, 0x8f90dd7c,
+    0x0018bcca, 0x45c31c07, 0x12adad75, 0xe8c13c40, 0x64b2ee0c, 0xc62ed59f, 0x6f0d0412, 0x92439848,
+    0x0cd8b059, 0x46f0e545, 0xe54c527e, 0x37fdc9a2, 0x2bc129d6, 0x6f47b1c7, 0x5bdd10f4, 0x4ee7ccf1,
+    0xb1fe3b63, 0x39c51c49, 0x965ea86c, 0x86e31324, 0x9af3e7c4, 0xd4716144, 0x8d35cc90, 0xeafc5a65,
+    0x71c07db6, 0xb56644c1, 0x6aa82a97, 0x0e90782b, 0x575658cd, 0x3a0707c9, 0x5d33b9b6, 0x25fc8046,
+    0xba0549f0, 0x44cacfbd, 0x2dd98184, 0x4654bb14, 0x09b71d98, 0x26f925fb, 0xa872c94b, 0xaa47b5b6,
+    0xf9d85d14, 0x6774ddbe, 0xc80e9dfd, 0xe30600bd, 0x43923e90, 0x6f0b75be, 0xb65cb0c7, 0x243597c8,
+    0xae744fd7, 0x29c07e2a, 0x14cf56b9, 0x414281b6, 0xc33cf9cd, 0x022f7000, 0x8d5cd815, 0x19eecba8,
+    0xa305fee5, 0x21c8446e, 0xfe92e3ea, 0xc5910a0c, 0x7e025599, 0xa59ec8c3, 0x32db09d1, 0x2a909510,
+    0x8bcce5eb, 0x24f053db, 0x45d9b009, 0x3cf87726, 0x3612cce8, 0x3ad423a7, 0x8c59c86d, 0xd1122530,
+    0x29c78784, 0x5304e488, 0x67df94da, 0xefeaeb3b, 0x3c2550fd, 0x19daf59d, 0x00ab9ed5, 0xf772a19c,
+    0x60174554, 0x5a4517a9, 0x86045615, 0xe2339a95, 0xdfe1a4f6, 0xd872ed30, 0xad733490, 0x0b299a72,
+    0xa8c77eea, 0x9df10af9, 0x6864b86e, 0x8aff9b57, 0xb7b8ee69, 0x241ce9bd, 0x6f391213, 0x679120ac,
+    0x9aca2b98, 0x53854d8a, 0x7a0773c7, 0x12710053, 0x6ea8d79f, 0x64ec1b06, 0xd9d8b38b, 0x8e826d41,
+    0x1373cee4, 0x67282b16, 0x8d5812fd, 0x96dbbdce, 0x88af4f18, 0x86e10a65, 0x3b0657d3, 0xfdcebba1,
+    0xa2603b52, 0x8d5fe757, 0x7510d0bb, 0xbd4a58d0, 0x96fa5f33, 0x748fc7f8, 0xe2203f2d, 0xbeac8384,
+    0xb2185c70, 0xaf5e5be1, 0xcd7ee3ec, 0xdec2c22f, 0x6a5741a9, 0x630cf01c, 0x48e28181, 0x36b5648e,
+    0x86923293, 0x85669697, 0x1aa3c714, 0xa2bd94be, 0x27598d68, 0x4d460ef8, 0x45da6b2e, 0x03e91cc7,
+    0x182ed00f, 0x0cf2a90e, 0x8a5cd6fe, 0xff483be4, 0x6b2d57a9, 0x6449cd73, 0x5155f700, 0xe1ba6a26,
+    0x6afff988, 0x1caf3e9f, 0xb4edf961, 0xe9a9bbfa, 0xd888c444, 0xda18dfc1, 0x120338a2, 0xa9d9dc36,
+    0xf75ec81b, 0xb429235d, 0xdb2e9dba, 0x2ddef115, 0xdf500b80, 0x35f8fe4c, 0x51216f8c, 0x376a5df9,
+    0xae3fd0da, 0x4394c0e8, 0xd3965d7f, 0x41e0d80c, 0xa8401720, 0xb5e68cb4, 0xc084cada, 0xa8ed561c,
+    0x8fce8bb5, 0xaea0398b, 0x21b6208b, 0x45f186c2, 0x66ae53b3, 0x0a91c6e3, 0xf62936d2, 0x7959203d,
+    0xc546b7a6, 0x167a4265, 0x6d727d54, 0xa0f4fb9d, 0x88e73c15, 0x104a3d89, 0x18a3ad65, 0x547bd2a4,
+    0x6448f1a9, 0x3a3ff325, 0x1f08ccfc, 0x023c003a, 0x5b4e5623, 0xa989a073, 0x81df89b0, 0x3dd56209,
+    0x6c858615, 0x6583b809, 0x8cb30506, 0x775e8b09, 0x0310c450, 0x1970d00a, 0xe3fa2817, 0xffc0e172,
+    0xbadb8c92, 0x12ce8b60, 0x45f98bd4, 0x44cc11fc, 0x7598e4ad, 0x090cef6d, 0x1ce8cd33, 0xd9ae4c12,
+    0xb1c40f77, 0x5e72210e, 0x5f7d901d, 0x8e86ec67, 0xf6679a47, 0x146e3419, 0x1fb36770, 0x128d0381,
+    0xfb7eeddd, 0x967fe2c5, 0x234a0fd3, 0xa121125a, 0x78039137, 0x5037d60d, 0xa19cf3a3, 0x69bd5fb4,
+    0xb096bd1d, 0xa44a3de2, 0xc55d1cd2, 0x6164b102, 0x835e9961, 0xca586a47, 0x9d8707dd, 0xb2bedfca,
+    0xfd07eb76, 0xae49e3d1, 0x1ab5c040, 0xe36ec7c2, 0x4839373d, 0x21f34fd0, 0xd2d393ac, 0xfc9e9708,
+    0x72c204f5, 0x35abfd12, 0x3c6d0da8, 0xe9c29939, 0x80019bf5, 0x66687eee, 0xa985afa6, 0x776d2d28,
+    0x22c3ca99, 0xaa2905e8, 0x37fc6ed4, 0xe7c05198, 0xcaba32ce, 0x7bdceab3, 0x420f70ac, 0x619ea5ab,
+    0xb42a444f, 0xadc5f65b, 0x197e5128, 0xc1c1b9d8, 0x1ba0469c, 0x0a9f0cb9, 0xc6b84a01, 0x703782d4,
+    0x31427ee6, 0xde9511be, 0xbccf63f6, 0xed895bcc, 0xd47b1524, 0xf183ed3f, 0xaee2ab6f, 0xc1aa5431,
+    0xd1b00baf, 0x59ad3746, 0xe09bbc56, 0x907b76a9, 0x08c3e056, 0x692b74ef, 0x14f4aeea, 0xb94a6fac,
+    0x554a6b5b, 0xdc918374, 0x3d702f0d, 0x66294c38, 0x845ea9ee, 0x8dc01b54, 0x81d79b5b, 0xe2e96b69,
+    0xa6faecf0, 0x4b1bc022, 0x54c941eb, 0xe668c07e, 0xc99de682, 0x0503b0f6, 0xd7ad17be, 0xd8c51bea,
+    0x998a1442, 0xa3bad121, 0x2e57cd1a, 0xda1a25d4, 0xced811ca, 0x13d5501c, 0xc1408bbb, 0x5e209496,
+    0x75d16621, 0x6c1dfeaa, 0xe40625e6, 0xbb7407b4, 0xbcee30ad, 0x5f3ebb0e, 0xbd997595, 0x19b8de6f,
+    0xef08b264, 0xabd9069e, 0x87468f14, 0xd9ba89b3, 0x5a91a56d, 0x621ae764, 0x80b9e92e, 0x47f3a70e,
+    0x023af992, 0x549d91a4, 0x0004c1dc, 0x2926897a, 0x33518bfc, 0x190ebff9, 0xfcb30094, 0xb31c31bc,
+    0x67a42113, 0x1d2385b8, 0x93039e89, 0xee03bb57, 0x49a92862, 0xd4c6f2d4, 0xc71c0a22, 0x176320fc,
+    0x58f2efd5, 0xba2f8cae, 0x2848d145, 0x5c91bf4a, 0xfb207cc2, 0xfaf8f17d, 0x57003dfc, 0xbf781109,
+    0x1a4f3549, 0xab4b8236, 0x150fab72, 0xd99559fa, 0xc7b16220, 0x01cc18b5, 0x8640170e, 0xe09d6a83,
+    0x63903ae9, 0x51dd56cc, 0xe639a6c2, 0xe5facc39, 0x8a2efb4d, 0x4e8343d6, 0x5da05bd1, 0x6ebfad99,
+    0xa801ce71, 0x4482c69d, 0xff294d34, 0xcdd3ccb1, 0x7bc3c9f8, 0x335bafbc, 0xb39548e6, 0xeaa37fdb,
+    0x7eeeac4c, 0x691d8d90, 0xd357fb52, 0x8fe1aa4b, 0x58061c78, 0x9478f678, 0xfe6e7d58, 0x291fdf17,
+    0xb9d3133e, 0xa0422291, 0xa0ead595, 0x73e8f389, 0xbcc6aaee, 0x2169e484, 0x05b97167, 0x508d5374,
+    0x2075a513, 0x1e07637c, 0xe176cb51, 0xcfbd805c, 0x6d2ae03c, 0xd95b6eb1, 0xb65737cd, 0xa7005396,
+    0xa149ed46, 0xf9790927, 0x5074d379, 0xd970c76d, 0x665c41ab, 0xc5fd6ebb, 0x2a33e7aa, 0x23d94109,
+    0xef0f6c9c, 0xd2848455, 0x3df95c34, 0xd1ba1dcd, 0x65897599, 0xa96a9d1b, 0x2c28b4c6, 0x059e2632,
+    0x57da8eeb, 0xe9629b57, 0xde0e248b, 0xb11f0c2a, 0x17b10c75, 0xef20dd0a, 0x0b5f7c2b, 0x0c2ba448,
+    0x7be7ddad, 0x3a8a7aca, 0x6cc1070f, 0x4fd90041, 0x68eba954, 0x83cdcd21, 0x44a51d4e, 0x1f2ba211,
+    0x39066bb5, 0x95736f73, 0x67a5eba6, 0x8b50c398, 0xe6cad6e2, 0xdde2e5e0, 0xa02dcc1f, 0x4024270d,
+    0x94b9eaaf, 0xdef6b00d, 0x0669161e, 0x38261426, 0x349cdda0, 0xe2fda248, 0xe2474721, 0x480049a8,
+    0xa1070b47, 0x7ce5a3b6, 0x26c873dc, 0x7e0fb967, 0xfa4c3566, 0x6b062826, 0x2e93158d, 0x118117c7,
+    0x4cbf4fc6, 0x29d757ed, 0x4fae5cb0, 0xdfde1015, 0xecc2b8e9, 0x9cf5e98d, 0x1aed4093, 0x2dd12aab,
+    0x1faefe10, 0xca190b88, 0xf38f749c, 0xd2a5f540, 0xeb01aec8, 0xd989cdb6, 0xdb9bb1a0, 0x28812191,
+    0x931692fc, 0xa118a168, 0xdfc3cb19, 0xd9d4cbae, 0x622c0344, 0x2cc77fe2, 0x3fc0ca82, 0x5480a490,
+    0x061569e6, 0xe16bd2b4, 0xafde22fd, 0x8b54cd62, 0x3227e3fc, 0xa96a8ee4, 0xb67fe0d9, 0x43630654,
+    0x5d18cbdf, 0xd0905eef, 0xac5d2f22, 0x705107f2, 0xe5cc7f95, 0x000e6a1b, 0xf7537b8c, 0xdf72229d,
+    0xe00fee4b, 0x6918fa5b, 0x3027281b, 0x4b10e487, 0xc3316918, 0x1b775241, 0xc84b60b4, 0xb1db92bd,
+    0x6d2e874c, 0xdc1c4227, 0x8ae72bf3, 0xabd7a484, 0x777c4a61, 0x8bb15e86, 0x616b230a, 0xc689bb90,
+    0x8e01b83c, 0x83226195, 0xa0527078, 0xae8ff454, 0xff2e2a64, 0xd7f34c1a, 0xdf794580, 0xe19de24c,
+    0x074f33f8, 0x52cafec3, 0x0d14768c, 0x03720861, 0x03becf7c, 0xc9e58ff6, 0xc0e669f4, 0x8068563f,
+    0xcaeb66bc, 0xe9855b4d, 0x53ed5b29, 0x03c23f34, 0xd502eca4, 0xa689ff25, 0xa3f2a186, 0xf20564a5,
+    0x625f8813, 0xe9196ff2, 0x0e637a7a, 0x75fd3024, 0x6ead8b58, 0xf8ee3323, 0x40094ff5, 0x28919094,
+    0x28b0b0d8, 0xb5490f7a, 0x073c7f21, 0xfd3c1be4, 0x21fa3a66, 0x28396f59, 0xd3545249, 0xc98e46a2,
+    0x1619cb45, 0x7d2ce96e, 0x92dcbe05, 0x503a3f78, 0x570d7f89, 0x5931f605, 0x59393b09, 0x35e9ba2a,
+    0xac6ddb44, 0x7657474d, 0x3a61bc77, 0x7e240003, 0xd49ebfd3, 0xd8f2c744, 0xd90a92ef, 0x93771c2a,
+    0x03840f9f, 0x783f55e0, 0x250041a8, 0x1b5bc647, 0x005226f0, 0xa498a121, 0x908f3a76, 0xace9dd91,
+    0x30f45a6b, 0x5e22a21f, 0x49a06703, 0xf42b1135, 0x91f0556d, 0x7ebc43d1, 0x3753cfde, 0xade94378,
+    0xfb0d064e, 0xb9077087, 0xe86634b5, 0xcdeb2cc0, 0x1ded4b9f, 0x6c1c9b06, 0x2e738d5f, 0x937fa107,
+    0x0e87d8a5, 0x46dcfa0f, 0xf70b32b2, 0x1d017dd5, 0x8720de52, 0xbc7178b2, 0xe3204771, 0xa03220ed,
+    0x00000000 }, /* 10**00000000000975546421973747572306749134310364470546436919582803484643486549882\
+                         92866838117675628759565720734124098744591597543956965482749239977758915821568 */
+  { 0x00000000,
+    0x40000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8,
+    0x082e7859, 0xd06650fd, 0xe9dd51f3, 0xa3e24bea, 0xb63ad0bd, 0x61435ee4, 0x80565ca5, 0x4cff162b,
+    0x00000000,
+    0xe3d71aee, 0xaa2ed0aa, 0xb9894c7e, 0xde1b322f, 0x8aacc855, 0x6a8307fc, 0xf4bfccae, 0x09edb383,
+    0xed633986, 0x985df52c, 0x7d737b00, 0x6151301c, 0xabb542c9, 0x5bdb1e1f, 0x43748fc9, 0x2e8f98bd,
+    0x5efc9b13, 0xd38b1fbe, 0xd31d08c5, 0xe7d0b5b0, 0xec00c605, 0xae891ff3, 0x150c5395, 0xb4c544b8,
+    0xf2f044d7, 0xe20be229, 0x62a2b4cc, 0x080df07f, 0x8e4c7b60, 0x4f7a1ab5, 0xe3f34341, 0xa3f7e6e3,
+    0x96c9debf, 0x3f74a2ef, 0x7b1a697a, 0x55bdab12, 0xb3ead9b6, 0xf8e89251, 0x76225725, 0xf64ad1d9,
+    0x32f48c38, 0xfcc707a4, 0x90598c1f, 0x978c6a19, 0x28bfa0b8, 0x73a9ff4f, 0x93cc513a, 0x658b2a58,
+    0x1c7d87e8, 0x1eb2c4b6, 0x5b334bee, 0x267ffed4, 0x305afc2c, 0xa4bf6d9f, 0xebe146e7, 0xdb357a25,
+    0x4e11f851, 0x2e09e254, 0x7e4428a1, 0x6ac2e359, 0xbdc26710, 0x046b502b, 0x39c5780c, 0x7a7109b7,
+    0x1b868ad0, 0xe7f3e4c0, 0xf178ca1c, 0x96436797, 0xe0fd3fe9, 0x4bd21cae, 0x7f5670d3, 0x08ece7d5,
+    0xb0862705, 0x4f8d65c7, 0xea5ee0a8, 0x121bf364, 0xd905730f, 0x636b450a, 0x86c1dd0d, 0x0f2c4431,
+    0xba63c04b, 0x827716c6, 0x3163d77f, 0x1fc4f48d, 0x8cdb2045, 0x6eb19536, 0x7afc2813, 0x2116d47a,
+    0x03011ed6, 0x6ee9379d, 0xeb27182f, 0xc2df5449, 0xd8506e72, 0xb9931021, 0x0d269476, 0x60b8cb5b,
+    0x18857440, 0x9ba46e7c, 0xb846cfe7, 0x6b9201f1, 0x8bc7f855, 0x265c48f6, 0x643f409e, 0x46597a06,
+    0x6025af13, 0xd509b384, 0x52c1f002, 0x2e732c7b, 0xbaf2502d, 0xd9291990, 0x1096d415, 0xaa1a50f8,
+    0x9607f29a, 0x4b8fdb61, 0xb189788a, 0x44b548ef, 0x3dfa036c, 0x1c554ad6, 0x36285d2a, 0xa0bd69f0,
+    0xfb45480c, 0xa528da69, 0x056d0abb, 0xbf993f85, 0xf0d22492, 0x2a701ae2, 0xd7180218, 0x52114142,
+    0xec399e4b, 0xa977100a, 0x75497f03, 0xfdb5d513, 0x5b38a677, 0x191b2a2a, 0x977fe2e9, 0x9469ef2b,
+    0x42d984d9, 0x77bd2e30, 0x51588477, 0xa4a21c37, 0xc1d6c355, 0x590006d5, 0xc1d3da60, 0x23676b06,
+    0x452d5511, 0x7dda7049, 0x1b37e2a1, 0x14f027d9, 0x7fa2ab5d, 0xae8602fa, 0x146479b3, 0x6be93728,
+    0xbfccfca8, 0xdd41132f, 0x71fa0c07, 0x318b0cd1, 0xcdbbd58b, 0x75c4ac1e, 0x749bd330, 0x609daaff,
+    0x7101d58c, 0xdc4cc7a6, 0xac1fc6b6, 0xec03c0e1, 0xe1618864, 0x72eb11df, 0x4345282e, 0x4fff86c9,
+    0x4077fa51, 0xb14ff9ba, 0x9e052df0, 0xb32dda1b, 0xce13f39d, 0x5c99f2d1, 0x4cbf18dd, 0x0b5b7c4d,
+    0x1736af4c, 0x34520362, 0x2c7ae0c7, 0xe4c13dfd, 0xd4195de6, 0x59b6e89d, 0x5f41ff30, 0x4f2098fa,
+    0xc7f70b96, 0x1e9306f5, 0xf560177c, 0x54c1fdc0, 0xdf1cd58f, 0xd6bad6b6, 0xd9d1c115, 0xc4615550,
+    0x9e9503c2, 0xafb3d66c, 0x6d2b1e13, 0xa89a0b50, 0x89934349, 0x08338d73, 0x42228561, 0x86c804d5,
+    0xa6290e27, 0x69831408, 0x32186cc2, 0x3c535e3e, 0x7ba8035c, 0xaf721608, 0xd4935235, 0x98ca2ead,
+    0xe1242aa3, 0xf67b6e8e, 0x55c1ef00, 0xf3dcefbc, 0xd9a6fc7b, 0x739c6b85, 0xdc086938, 0x4aa0cf58,
+    0xf36fa79f, 0x47c59d75, 0x4537eba3, 0xcdb3500a, 0x4fb02c70, 0x06798939, 0x7ee73664, 0x0a215b89,
+    0xabc368f2, 0x147a9619, 0xd6f0eb61, 0xac15b964, 0x8b9d22b7, 0xd3acf8c9, 0x3c77cad8, 0x3746a82a,
+    0xfde55475, 0x2263e315, 0x7c93ec91, 0x00291057, 0x65a7a888, 0xb2aaced1, 0x8c0ff482, 0xc9cb1204,
+    0x98b1bd0e, 0x7459c8b4, 0x18916647, 0x13dec983, 0xa7ea6942, 0xf34a79bf, 0xe0c8ce9a, 0x05d61484,
+    0xa2e3572d, 0x1aa61789, 0x9faa8048, 0x27e26019, 0x3acebc25, 0x4733034b, 0xcd61ba5f, 0x0adcd6b7,
+    0xf4d64bd6, 0x5c0b4a8c, 0x55b0435f, 0x43a92996, 0x1041980d, 0x38c32275, 0x92edfee9, 0x99ddf4b4,
+    0xcac17f5a, 0x56ce9d7c, 0x409df9a8, 0xfda43a8d, 0xf381e60a, 0xd79f2083, 0xa4529f4a, 0xb5ffc202,
+    0xae79875f, 0xc3b17896, 0x075aad31, 0x80410a41, 0x036774ad, 0x5b9c891c, 0xa3103c51, 0x9685e625,
+    0xa72c2385, 0xaaf64108, 0x84ebdfd2, 0x0b8bf5a8, 0x84b85999, 0x09e89cde, 0x0a20472c, 0x6f664430,
+    0x2280c82b, 0x737c2fcc, 0x48e17760, 0x70046361, 0x07fc38da, 0xecf78f67, 0x7e5cdcca, 0x39677316,
+    0x32b65cc9, 0xa2f61a89, 0x76cf2fe9, 0x7c066ded, 0xd9152707, 0xb11ea03e, 0x27486c70, 0xf436b01e,
+    0xf5b3e23e, 0x85f38a3a, 0xa767047e, 0xaae81102, 0x1d94c827, 0x47db0cbe, 0x6b376ab3, 0x686caae0,
+    0x70da0864, 0xcd5b991e, 0x3125818b, 0xb6c11b6d, 0x5e6e75fa, 0xb44afdd3, 0xbbb68a96, 0x9918c770,
+    0x45e0627a, 0x55f87f69, 0x591f0a75, 0x5b98fe12, 0x4831189f, 0xeffe337e, 0x74526d03, 0xec562ee8,
+    0x70ab95c9, 0xe63ebe4f, 0x812fac07, 0x7ff7913c, 0xf9e81f38, 0xe6a23127, 0x5b239d17, 0x0ff4fe60,
+    0xc8e53836, 0xd54f2797, 0xc88a7bf3, 0x7c3f2046, 0xed3ba061, 0x2a37fb82, 0xd82cf98e, 0xd53587f1,
+    0x722f0026, 0xb5241a6a, 0xc2943145, 0x3a9d4110, 0x7ece6b6e, 0x78bdc52c, 0x3e65a79f, 0xd43077e2,
+    0x8e0a076f, 0xc285f5a9, 0xab471869, 0x49c852cb, 0x4793524a, 0x1a04a246, 0xdd2b88b7, 0xec586f0c,
+    0x0ee97a73, 0x358ed0f5, 0x48f21b05, 0x7421f839, 0x25e49034, 0xa009f1c3, 0xe8702b40, 0xee19ea6e,
+    0x9df9aed1, 0x6bb81741, 0xccbc195b, 0x7eecea64, 0x239740ef, 0xb17d4c3c, 0x1ad99830, 0x11a276ed,
+    0x6fc2dfa1, 0x1c46c1bf, 0xb12d6143, 0x39688374, 0x3b9b8756, 0x47d0ff2e, 0xc01ab747, 0xae5e625c,
+    0x3c754280, 0x04471bd1, 0xb07b4bcd, 0xd6f61b06, 0x760aead7, 0x3bca1090, 0x5897a4a2, 0xe382147e,
+    0x405cf832, 0x73647210, 0x8f2e4577, 0x12d026ac, 0x48985386, 0x234f5a6e, 0x0511a717, 0xdbeaa835,
+    0xaf4e4ad6, 0xf2e0b183, 0xb9bc86f1, 0xd190a347, 0x9abbfdd4, 0xec5b3924, 0xb75f0a5a, 0x21e419c1,
+    0xd293ca1e, 0xedbab996, 0x79f0ed6c, 0x7d20fe31, 0x20abfd1d, 0x5ed3d2d9, 0x50ed83f5, 0xafe42fbd,
+    0x10552e1d, 0x1cbea7d0, 0xb21617f3, 0x8998fcb6, 0xb2d0d041, 0x8a95bc0f, 0x1551de8a, 0x811c21d6,
+    0x2a60d7d2, 0x8b2c6a36, 0xdde9fdbe, 0x41ccd81b, 0xa82574ff, 0xdfa88f94, 0x48376d3d, 0x86094086,
+    0xb07f8352, 0x38f4bcbb, 0x934123b0, 0x77c9f3ee, 0xc7016d2d, 0x985f486a, 0xf3bbe48b, 0x87fc12bb,
+    0x1a291dce, 0x8893f0da, 0xe5f5b90c, 0x6bfec1b0, 0x81d86220, 0x6e4c6618, 0x8a32f45b, 0xf88b8dda,
+    0x9d1ae853, 0x48dd396d, 0xa162879a, 0x173f5a7e, 0x30d285c4, 0xfb4a1ac9, 0xfe60ce4a, 0x4630d226,
+    0xd6fc88a6, 0x32772768, 0x1622b92f, 0xd9387b89, 0x750d1d3d, 0x835a0daa, 0x558ca73a, 0x455a986d,
+    0x03d22b6c, 0xa0e7adbf, 0x96c93f1b, 0x04963056, 0xff2eb88e, 0x0fb6b697, 0x7884a165, 0x480f61d0,
+    0x26d26091, 0x6080c711, 0xf9038359, 0x550cc20b, 0xbd8ae12b, 0xcb83c307, 0x206ed6b7, 0xfdea88f8,
+    0xf0322ead, 0xacb92f80, 0x38b32231, 0x930d815d, 0x0337375d, 0x79a1f43d, 0x302b543d, 0x06d0d15f,
+    0x56c898a0, 0x41887bb5, 0x71e6ca14, 0x81ddda66, 0x1ac116c3, 0xde94841f, 0x309bb250, 0xdd26ba84,
+    0xb6919515, 0x11f638e0, 0x84a761c2, 0x65dbfd94, 0x0aaa5a88, 0x7dfcf37f, 0x5b624301, 0xd4071e86,
+    0x1da39b00, 0xa2775528, 0x1d45971c, 0xa8cbab22, 0x5591d26f, 0x79bc1ebd, 0xbd0a69fe, 0x2af15c65,
+    0x1e483544, 0x43281973, 0x81e57862, 0x0317a6f0, 0x69b6c8bd, 0xa8ea020a, 0xe94cee58, 0xe8194332,
+    0x30b505ce, 0x95f630b8, 0xb2240e56, 0x9e0620ca, 0x3f70a703, 0x8cc52ea0, 0x150024c8, 0xaec1bc94,
+    0xb6ab48fa, 0xd2edcbbd, 0xc12a0da9, 0x91c0effc, 0x32d01574, 0x4a106589, 0x0804f52c, 0xa9bf2d94,
+    0xee30d5ca, 0x831350fe, 0x853d9080, 0x199e7674, 0x8145b1a8, 0x20b221d4, 0x427309c5, 0x0e6367be,
+    0xca32209a, 0x7bb6696a, 0x02738741, 0xacb697a1, 0xc170eeec, 0x17a6d459, 0x26876b5c, 0x2a04a43b,
+    0x16709617, 0xfe27bfb3, 0xec5f8c46, 0x2ab6f832, 0x65e64bc3, 0x62f9ca85, 0xa9b1b23a, 0x86e8a158,
+    0x12c8852d, 0xc6a66c33, 0x9ed574de, 0x571286f6, 0xe276aeee, 0xe108a257, 0x995eab58, 0x73c2777f,
+    0xeed3c190, 0xa6643014, 0x19dbce22, 0x46a307f3, 0x8d4acda3, 0x84764570, 0x09b639c7, 0x96eb4835,
+    0xccab22b6, 0x889de560, 0x44f7368f, 0x70891af4, 0x7d534d9d, 0xd7579325, 0x809f5515, 0xcea22861,
+    0xa6dc502c, 0x96e92fdd, 0xc5be4e8f, 0xac759763, 0xba24289f, 0x757b5115, 0x3f645d27, 0x372e056f,
+    0x148a3e1b, 0x54e05f51, 0xaec7d961, 0xa1fe6fc4, 0x9be32f7c, 0x15ffbc39, 0x033702b6, 0x0b38cb57,
+    0x27223067, 0xe6cbb593, 0x16649b9f, 0x6d3b9465, 0x84e59a1d, 0xdff1197b, 0xeb1a78d5, 0x8eba9adc,
+    0x5561ffa9, 0x96b6dfad, 0xd1824a9e, 0x73dbbfb7, 0x132ffcb1, 0xc5b2234f, 0x18469e44, 0x374fb81e,
+    0xaf55903e, 0x1f230c98, 0xa1a2d0ed, 0x2057079c, 0x8feb5b56, 0x2d34e50e, 0xd546e853, 0xb128b4f9,
+    0x55431a72, 0xf5fa98ba, 0x666ff6df, 0x04ee0b73, 0x64665484, 0x4bc75362, 0x9413e3ec, 0xbc0cd016,
+    0x77bf190a, 0x9d20a7fe, 0x38110d83, 0x9c8d11ed, 0xe98a874b, 0x13843a72, 0x6faf4344, 0x99a4baa4,
+    0xe92f2620, 0x999844e0, 0x93c37eef, 0xea2c1c30, 0xa94103e6, 0xcec1164b, 0xae7c08db, 0x3be84c20,
+    0x522678ea, 0x7c893c7d, 0x3e73a21b, 0x1d392c8e, 0x7a330c95, 0x6623440d, 0x4b947e13, 0xaa66f22f,
+    0xd8dbd38a, 0xf683ae70, 0x05aa6708, 0xd63a09ef, 0xf45c64e0, 0x306f7293, 0x09e06609, 0xde587d6c,
+    0x76385c28, 0x204a8e70, 0x80fa62fc, 0xa6dbe9c1, 0xe1ca0289, 0xc121ad94, 0xe0c89545, 0x3793272d,
+    0x7c12332d, 0xef5e551b, 0xd326aa19, 0x46774b1e, 0x1386b757, 0x74e8566e, 0x405ee3c9, 0x73ac0937,
+    0xc04c96ca, 0x756f1703, 0xc3058688, 0x348519db, 0xcd28f32b, 0x73b74b5b, 0xfcfba023, 0x44747e46,
+    0x24bead9b, 0x7385ef0d, 0xc172fed2, 0xb314e95f, 0xf51bcff8, 0x14a5435f, 0x921d6bce, 0xab514fb0,
+    0xdb9e094a, 0x71758cf6, 0x1ed072bb, 0x15908e3c, 0xe179bfa1, 0xa8ec3150, 0x34576bc7, 0x69e33c25,
+    0x4e47bfd5, 0x81a965ca, 0x35f860d0, 0xc4343fb7, 0x92588874, 0x292aafed, 0x0fbfbb31, 0x6e4a0fa6,
+    0x5377b9d1, 0xfd889a20, 0x30c50f66, 0xf5a604ab, 0xae129d58, 0xe5028553, 0x5d2832ee, 0xf0774aa3,
+    0xeb8c1989, 0xddf1918d, 0x591d16d6, 0xfeae215f, 0x7d5dd8eb, 0xc00f6b2f, 0x84c07de1, 0xa9a297fa,
+    0x0342cdbc, 0xf4b74a38, 0xd9a4bd77, 0xb48e6f6e, 0xa8235f4a, 0x3c8cb6cb, 0x596c10ea, 0x61e3a92e,
+    0x90b9a47a, 0xadbddada, 0xbfe72bc8, 0xa146474e, 0x3fce9fed, 0x249cbe46, 0x8b415328, 0xcf07169d,
+    0x8388a530, 0x37a48da5, 0x19ddb678, 0x18d98ba2, 0xd03cbe88, 0x1df03d11, 0x4a01cced, 0xee01dfab,
+    0x6ba205a8, 0x05123e70, 0x49bb567a, 0xb307a8f0, 0x5caf97f8, 0xd225dc37, 0xc2461f81, 0xf640fb25,
+    0xccb3101c, 0x6482ff05, 0xa81a6554, 0xfa3f1097, 0xd976e67f, 0xca2203cd, 0x601ea27d, 0x09fcee1b,
+    0x950542d0, 0xc82ce36a, 0xeb09d41a, 0xfdeb99ef, 0x9066f142, 0x2a28078d, 0x2d1530ed, 0x286abaab,
+    0xd9312601, 0x1052fe09, 0xd9d1ea10, 0xcabf377e, 0x38150198, 0x10bfedad, 0x931cde18, 0x4be90c3d,
+    0x43a27459, 0x2b135ebc, 0xa7af65ac, 0x6a0c2884, 0x05045207, 0xbacba379, 0xb2ced0bb, 0x3fe7dbbd,
+    0x835d51b7, 0xaa15ea3d, 0x73d677f0, 0x149c5e18, 0xa984d48a, 0x3b1f1273, 0x95a1d78c, 0x7ce7d9f1,
+    0x0c8ae367, 0xaa652adb, 0xb1718b9a, 0x50a99b39, 0x195465dc, 0xdc8ed630, 0x3ba676ad, 0x91b2ca1c,
+    0xa04a9fae, 0xed6594d7, 0x85c90fe0, 0x1f7a5700, 0x85484cba, 0x1881817d, 0x30607a38, 0x363bc50a,
+    0xf70c4aa7, 0xe3f5b438, 0x52b71e2d, 0xcfb73c06, 0x1cdfaa4e, 0x9b8ff4ed, 0xb8637282, 0xb828a518,
+    0x387d8cb0, 0x551f56be, 0x7fded2eb, 0x98da4321, 0x6d1d93fc, 0x5c2de803, 0xfc0b7cf2, 0x3e38e4c6,
+    0xc6c409a5, 0xf34235dc, 0x6b778ca7, 0x7805f2e0, 0x86bb19f4, 0xb2ddb38c, 0x881fd566, 0xc80db590,
+    0x6ab9dd41, 0x7b503ffe, 0xca6ee69b, 0xa7f35c03, 0x3d34dfe3, 0x9d8a3bab, 0x0b86e9e5, 0xaa616e4f,
+    0x317d7f97, 0x59e57b8a, 0x2d5ccec3, 0x31675b15, 0x371067aa, 0x97e89a49, 0x23613a53, 0x180f53fb,
+    0xe2f4def4, 0x3ada312f, 0x832fd727, 0x7a06c21f, 0x6b4fac80, 0xed5feec5, 0x9b72bda6, 0xc7595822,
+    0x13070711, 0x50d8e241, 0xba4d53ef, 0x15970b7e, 0x9f36b34b, 0xde442914, 0x314ef28c, 0x8fb2d5e6,
+    0xb289fc2d, 0x5fe7780d, 0x020468b3, 0x3458bb36, 0x7518f19b, 0x761b17f2, 0x027196c9, 0x570cf77d,
+    0xdc704bcd, 0x46ea257c, 0xa534265c, 0x45a52089, 0x7e16e6d2, 0xc0194828, 0xeb50ffa2, 0x2b8920fb,
+    0x839743da, 0x1bde7fd3, 0x1e867dad, 0x2ed2a289, 0x221c93be, 0x55cfbb59, 0xad47326c, 0xf80aedc3,
+    0x49d421f4, 0x4742b803, 0xfb6f1083, 0x67b15c60, 0xdc60728d, 0x19db2314, 0x1693d737, 0xbea2ee98,
+    0xe72b6e94, 0xe7c2b324, 0x84eabcc9, 0x16e742fe, 0xa330bcd1, 0xc08f23bb, 0x82cc53c3, 0xa9b49c8d,
+    0x8b69a156, 0x265c1f46, 0x2c266c84, 0xbcfe3c39, 0xc73d517e, 0x2ef58e55, 0xd63b430c, 0x00d5ba1d,
+    0x2026ab26, 0x84231811, 0x3b136092, 0x99a83a30, 0x3f07b8de, 0x0c66c110, 0x5dec82ea, 0xc1a4ecf7,
+    0x527b5b2e, 0x685a6396, 0xdb1777a8, 0xd09c0f55, 0x57021d35, 0xf57bb8a3, 0x50591c26, 0x0d3cf123,
+    0xc8b919ca, 0xc89c38fc, 0xf34b1efb, 0x3c677cfa, 0xe931d138, 0xff4af9bf, 0x141f601b, 0xd036bd8d,
+    0x18524c65, 0xa43e4871, 0x42e844b9, 0x7e104c82, 0x92b9050f, 0xb483c6ea, 0xb2b8d4c3, 0x13cb3db2,
+    0xcfea547b, 0xb8608190, 0xc59dff3a, 0x8c1cf626, 0x62a1a20d, 0x9a6133d8, 0x3b7b8ce1, 0x8c925955,
+    0x038d3cc7, 0x64b5ace4, 0x9bc6c7fa, 0x9c3d5597, 0x61546df6, 0x99c14f64, 0xfa401c9e, 0xc920a6d2,
+    0xed9289f5, 0x57b657a2, 0x3dc619ec, 0xd98fc4db, 0x6f4cb162, 0x0c1af475, 0x68ffa9e4, 0x9de2a7dc,
+    0x25b265c0, 0x82bd8bb0, 0x4c1c736b, 0x7d909047, 0x22ce3533, 0x100d2446, 0x84592d56, 0x3ef08d0a,
+    0x027b0829, 0x03a9cca7, 0xf0977625, 0xf00f0c5d, 0x3d5c2a4f, 0xb3afa551, 0x808e3d3e, 0xf0c78949,
+    0x90bfdf95, 0xca10d176, 0x9b519777, 0x6dcba3b9, 0xceba4930, 0xa191033c, 0x64709a50, 0xd91999bb,
+    0x92b89c15, 0x1643531c, 0xd4ac04d2, 0x5a257071, 0xbf41621d, 0xb3741fe6, 0x5cd2b9b3, 0x15348a51,
+    0x00000000 }, /* 10**00000000000487773210986873786153374567155182235273218459791401742321743274941\
+                         46433419058837814379782860367062049372295798771978482741374619988879457910784 */
+  { 0x00000000,
+    0x40000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564,
+    0x04173c2c, 0xe833287e, 0xf4eea8f9, 0xd1f125f5, 0x5b1d685e, 0xb0a1af72, 0x402b2e52, 0xa67f8b15,
+    0x00000000,
+    0xaac5fd3e, 0xf0b75084, 0x3cf5a0b3, 0xe40f7d53, 0x0ffb2e5d, 0x6434ce32, 0x09ac3f42, 0xe1ec639d,
+    0xf4efa688, 0x8a69937c, 0x0c403a6c, 0x2b8d52b7, 0xbb9eff26, 0x431c4005, 0x009f84b8, 0x9908209d,
+    0xbd9c6e10, 0x76d7f20b, 0x8e597e63, 0xdd7414c4, 0x350de26d, 0x507a89db, 0x6487ed5b, 0x5bd5477f,
+    0x69f8ae16, 0xd2c6745c, 0x87441810, 0xd0a0dbdf, 0x84fd9e35, 0xcf6dceb3, 0x25de4fd9, 0xe90d2bce,
+    0x732ad574, 0x75776494, 0x2f66d3e7, 0xe7d26696, 0xccbca44f, 0x31562fcd, 0x78f22863, 0x9b64971a,
+    0x746117e7, 0xb6e73ee2, 0xad83e40f, 0x893e8c7e, 0x13287ff9, 0xd1589d9b, 0xf5f63273, 0x21801b9c,
+    0xe230eabf, 0x556c9282, 0xc066fbba, 0xbbbc04fc, 0xb86e2564, 0x646bd279, 0x8cb81dec, 0x42f41fc9,
+    0x899e75c1, 0x2079a18d, 0x24d365d4, 0xb7d83721, 0x7ef60f85, 0x805b0d98, 0x62399aa6, 0x78056e60,
+    0x65db1a07, 0x2f437595, 0x153df8d8, 0x6c867c4a, 0xe569d1b2, 0x932d0d27, 0x7fc41ca9, 0x02d66db4,
+    0x24b0c15e, 0x7e07400c, 0xf128b4d1, 0x2fdfb91d, 0x6ad07fbf, 0x4553b872, 0xb48d117a, 0x8005aa09,
+    0xd5d49252, 0x39862534, 0xd7ec508f, 0x83a30e3b, 0x132837ad, 0x5c133df5, 0x8e51710f, 0xd2b5c0b2,
+    0xb4eef8c7, 0x8c7da7ff, 0xe43b5fe9, 0x629617c6, 0x6fc21d23, 0x087e090f, 0x54325545, 0x2b076343,
+    0xf8b6358b, 0xdec136a5, 0x63afbf23, 0x5284cd78, 0x07b1e6e9, 0x96f4b564, 0xa58256a6, 0x29474478,
+    0xc104b2de, 0x8b4f0b4d, 0xf4c75f31, 0x56b578ec, 0xfc995796, 0x3116d351, 0x7869ba08, 0x70c23220,
+    0x6732ae85, 0xdd30d6b4, 0xc349e6fb, 0xf07ba6e8, 0xe3862036, 0xe1d7b7d6, 0x59fdce42, 0x6194fd2a,
+    0xd387a71f, 0x36ea652d, 0xa788486f, 0x445980e8, 0x51d14640, 0xc12d3269, 0xa3f8a2e5, 0xf69b08b6,
+    0x67ef9c0b, 0xfe5ccc86, 0xef51ab53, 0x7a573f8d, 0x630efeea, 0x66315a93, 0x7e997a04, 0xa785d205,
+    0x5f661b8c, 0x53e2966e, 0x7640a601, 0xf044408c, 0x00c5f3ef, 0x9978def7, 0x44cd89b5, 0xf94c41e5,
+    0x8b7fcbaf, 0x68ef7edd, 0xbf2cabef, 0xff81cd98, 0x36ce199b, 0xa78a3058, 0x3ec19bed, 0xa5c06247,
+    0xfe21b15d, 0x1e4632af, 0x81c86564, 0x94bfba73, 0x5e70a4a8, 0xe133590a, 0xc68344bf, 0xfb4622b2,
+    0xfadb50ec, 0x37aae90c, 0x31c0cd52, 0xef693564, 0x83c8b7c5, 0x5bebad0c, 0x7f79c0ee, 0x44f6318e,
+    0xa800d170, 0x980fb1d0, 0x1b92249e, 0xddccaa8e, 0x1fb4869c, 0xcd50cc66, 0xcabe4298, 0xedcd846b,
+    0x3ce50fdf, 0xbd50c840, 0x6db4498e, 0xd92ffc5a, 0x7a38c02a, 0xbb9e4e82, 0xe404777f, 0xd9e03c90,
+    0xfaa15fb7, 0x34276bbc, 0x8e4bd349, 0x8bbc91e9, 0x40c83467, 0x3d075cf7, 0x215428ec, 0xd50cbb7e,
+    0x9b16aac8, 0x7f39fe7d, 0xc90bef2f, 0x6f651b96, 0xe8dd3ea8, 0xca347c65, 0xc004c2e1, 0x78568658,
+    0xff65462d, 0x4a9d4fad, 0x3a153282, 0xaed12a71, 0x0ae54cf6, 0xaf26a7f7, 0x50d29e17, 0x33539582,
+    0x88cfbfac, 0xa410e7de, 0x558f2f65, 0x20fb28e8, 0x50b94599, 0xee65338c, 0xd8f62b8e, 0x4ff37e1b,
+    0xe1d2c8ab, 0x73500a78, 0x4bce2db2, 0x0a637a1e, 0xb173d717, 0x9464ea0d, 0x9b9ec187, 0x1d765bf8,
+    0xf418a64d, 0x97c828c0, 0xbbef2505, 0x4aaca254, 0x8da8de99, 0x60041837, 0x088e8d04, 0x6a6132a8,
+    0xe14bb7cc, 0xf7ab483e, 0x9f0bda28, 0x0f70158e, 0xe5550cce, 0x59444249, 0x3f0f1b3c, 0x2144f2b8,
+    0xeb63ec84, 0x8b4809df, 0x5725ee55, 0x4e75ee01, 0xe070e991, 0xc49fe851, 0xdad9b6fa, 0x097d26c7,
+    0x8425536b, 0x2292cde9, 0x90804713, 0x9e25c063, 0xdc7bcc09, 0x17116757, 0xb7d9dd73, 0x2c3cfe06,
+    0x4106798e, 0x491555b5, 0x2e23e886, 0x410cbfd2, 0xd77f4ec2, 0x11cdfe39, 0x1e798eb0, 0xa8d57995,
+    0x0504be57, 0x79b2cfcd, 0x77f01ffe, 0xcd148f56, 0xb1bcd343, 0x8df02bc6, 0x20cda3e3, 0x91652838,
+    0x4aef922e, 0xfaf4b857, 0xef7ffa10, 0xc8a63779, 0x26eedf86, 0xbd2210eb, 0xdd8c2e31, 0xb9898da8,
+    0x2fe3842b, 0x9b27b13d, 0x92b5031e, 0xbcedbd6f, 0x3898590b, 0xfe37b42b, 0x625ed397, 0x504a976f,
+    0x8d8e3388, 0x61aa575d, 0xacc9def3, 0x9f22bf2f, 0xd28282aa, 0xb1b77fe3, 0x673267ca, 0x0ff21f2f,
+    0xbca7a817, 0x33f9f08d, 0x5582e51e, 0x1b23924a, 0xc1afd05d, 0x7f878742, 0xb166d0e6, 0x1eaeb6af,
+    0x9705db50, 0x01f019ab, 0x52e8bcb9, 0xe3bb2047, 0x6015f781, 0xcf7c1204, 0x87b096cf, 0xbbcaf3af,
+    0x7e7a2549, 0xceb00baf, 0x9fee95ce, 0x3c4a40d7, 0x0de6cc9f, 0x2efe42cf, 0x6d737145, 0xc6a2a976,
+    0xd5290129, 0x15777ec0, 0xbea0e5aa, 0x3435cab3, 0x849fbdec, 0xac865cc4, 0x2a91a8bf, 0xb3e6a2ea,
+    0xbd819a99, 0xc3635e28, 0xa5fadcc1, 0xcbf28eb1, 0x84b80e57, 0x1bcca39a, 0xaf126c96, 0x2b39a549,
+    0x53feb50c, 0xc046fbdb, 0x031eb5ab, 0x027d9848, 0x68d4c754, 0x55f1a85e, 0x3dffe653, 0xe14dc72b,
+    0xffd7cb88, 0xfbbfc4e1, 0x9b70a261, 0x8c89b795, 0x7e5e6871, 0x7427bc81, 0x5ea36e80, 0xdad270a7,
+    0x768f1373, 0x98a62c05, 0x543b3325, 0xbacea4fd, 0x505f1ac8, 0xee85187a, 0xe77c66e6, 0x16898cf7,
+    0x1e6cdfcb, 0xdc86f0d5, 0x54bc88c6, 0x1e90ec58, 0xaa1c5693, 0xd65c5a9b, 0x25db6e02, 0x91616a1f,
+    0xa3c525b5, 0x3eda14c6, 0x5a82973b, 0x6f310734, 0xeae87434, 0x1fae0884, 0xc277965a, 0xd1b8c74f,
+    0x1245c62a, 0x1fcf83c9, 0x4d1c0ba4, 0xe8dafa1b, 0xcf8d7ef4, 0x45c6d9eb, 0x4808df65, 0x2732289e,
+    0xcf141eb8, 0xb9816abf, 0xeb8f983e, 0xd49e6fbd, 0xeb2674f0, 0xcd0c3fca, 0x3254b5c9, 0xf602a9f3,
+    0x4e7ea26d, 0x5c04871e, 0x94c0a5b7, 0x0cce9062, 0xdbbbb3ac, 0xad1d1eac, 0xcd116881, 0xcabe5bde,
+    0x5c5ad71a, 0x268d77fb, 0x3d351bec, 0x09b7f938, 0xb6771d02, 0xbdb8f4f2, 0xd18e61ce, 0x3a5a9257,
+    0xf3bed51b, 0xa6db23b0, 0xa92afca3, 0x0d502213, 0xcdf1b075, 0x6f9745c2, 0x1ad06533, 0x96e58f31,
+    0x1e8a0e40, 0xfe7a2743, 0x91e543b1, 0xb2a3ec59, 0xc52f0d2e, 0x0e84a6db, 0x1b5e6590, 0xc3a3ceb0,
+    0x6771ac28, 0xd4f684a8, 0xc3ea99db, 0x38042342, 0x52f240f6, 0x7302bfbd, 0x355d2c73, 0xae660c1d,
+    0x1e808d1c, 0x30b88302, 0xe41b8db8, 0x97c1200e, 0xf3ee80c9, 0x27fb4533, 0xc2ff4ca7, 0x7aadf1e7,
+    0x65a503d5, 0x84a62016, 0xa3f818b9, 0xaba6ef0f, 0x368a8b1d, 0xceee6aa2, 0x81708f7d, 0x12d1ffa8,
+    0x554b289b, 0xd75436f6, 0xca00ef08, 0xbb03e858, 0x7b02e7ff, 0x6418ec73, 0x4ce1bd4e, 0x84a4173c,
+    0x40fe06e1, 0xc872afee, 0xe982fa10, 0xe51a5e46, 0x42974cfb, 0xbd4f8a75, 0xe46906db, 0x4b0e4595,
+    0xcc474cf9, 0x4b218934, 0xcbe27dbb, 0x6bba1542, 0x281e040d, 0xa50df3fb, 0x641d8cfc, 0x9d351700,
+    0x6dd75030, 0x57a7822e, 0x7c6d0dd1, 0x1bbabd97, 0xbeaef496, 0xf246af8d, 0xdc521f43, 0xf216d64e,
+    0x5345c8fb, 0x3e95e7a3, 0x06e573e4, 0xc62196d6, 0xc729c01f, 0xb8c4b26e, 0xaa8836ec, 0xa132a080,
+    0x76184175, 0xc7f006a5, 0x03924937, 0xc81d7bbc, 0x575bd4ac, 0x9e31b060, 0x28965b0e, 0xb56c60ae,
+    0x903353a5, 0xc2f96537, 0x88cd54cf, 0xd21586cb, 0x7eaa3111, 0x7bad0779, 0x05d59b6c, 0xfebba53c,
+    0x0feb575c, 0x31b02abb, 0x8abd866e, 0xba8370be, 0xef143641, 0x4b60cf71, 0x4d2ae222, 0x4f1f8fcd,
+    0xd06ff5fa, 0x3a4de667, 0x38fc4b04, 0xeddad675, 0x96344bf4, 0x913cfa19, 0x4e30a29c, 0x1e744122,
+    0x1700b9b1, 0x29ef6b46, 0xf9d72af1, 0x872a0c75, 0xac23fcde, 0x01893e34, 0x0e7206da, 0xe3c6a75b,
+    0x1ba84269, 0xe5d78cc6, 0xf465672b, 0x65fa8b95, 0x500fa93c, 0x7bc6992f, 0x8020e7ba, 0x55bc0b31,
+    0x402853a9, 0x5fd0766b, 0x6b53b5cd, 0x9f1e41de, 0xb97c1ec9, 0xc4a789f3, 0x5937ff00, 0x1694256f,
+    0xf5b28ae4, 0x5b123bcf, 0x447dae6c, 0xe8b0fdfe, 0xe25ae965, 0xdfa39736, 0xbda79a70, 0x362e1c75,
+    0x250822b3, 0xfdb11554, 0xb18c8cd2, 0xae7f16be, 0xec0c8e0f, 0xfbfbae3c, 0xa59693ca, 0x903e2121,
+    0x1b48a2d1, 0x52ac96a5, 0x71f0a3db, 0x3b8023c3, 0x5559b09c, 0xce39d3fe, 0xfde07719, 0xf5fc065e,
+    0xceb08925, 0x879a3e85, 0x05e62cd2, 0xca95e952, 0x69b1feff, 0xbc0e9163, 0x3c20cd28, 0xc6480b6f,
+    0x2a58263d, 0x99aa420e, 0x3ad4ac79, 0x13280468, 0x7795cf11, 0xeb62fe58, 0x984c4572, 0x671fc08a,
+    0x6bd524c9, 0x4a9fe427, 0x49f5ec3c, 0xb82f449c, 0xdf205c07, 0x92ab76c5, 0x54be10d6, 0x004f74c8,
+    0x63403cf3, 0x0da59651, 0x284d6aad, 0xaac63080, 0x8b72756b, 0x8afd2370, 0x343d1de6, 0x3e44a623,
+    0x71b078f6, 0xd73974e4, 0x3776422d, 0xc17d9106, 0x7363df4c, 0xb14b7590, 0x105e0f8a, 0x30d041ff,
+    0x413fd736, 0xc1b93d9f, 0x6d025ce3, 0xa0005da6, 0xa0ca84d4, 0x9ce4a755, 0x39c26902, 0xba2b21db,
+    0xdb2bea7e, 0x03eac2ce, 0x55e17d43, 0xc836aed7, 0x498440ec, 0x576505d7, 0xa74384fd, 0x615a8507,
+    0xfb021561, 0xdcadf34f, 0xdf30377c, 0xcf7dd1d4, 0x9071594c, 0x33c8fb52, 0x155ae099, 0x1e4d3a96,
+    0x1258e44f, 0xe175f48c, 0x185518c6, 0xd94bcf9d, 0x34b1a87c, 0x626c669c, 0x36b873b8, 0x913d1b2b,
+    0x2d0d3ef0, 0x353ba567, 0x4e839718, 0x2c4e2d27, 0x7f778d5f, 0xe4c41157, 0xacd8cd5c, 0x4141b037,
+    0x2ae93b18, 0x3dc2e2e2, 0xbbc318e9, 0xf36eff91, 0x4e06cb24, 0x6f3b9aaf, 0xf1d46477, 0xfa2fc673,
+    0x965dd5d4, 0x7b340c4c, 0x1653c5a1, 0xea89fc8f, 0x24412d01, 0x42a6791d, 0x8f07d94c, 0x1ade8ff2,
+    0x4988f2c3, 0xca3ea93e, 0xb63ddf2b, 0x3646650e, 0xeafd321e, 0x9fa6ae8e, 0x8062298b, 0xd1a1e8ea,
+    0xe911e74d, 0x7e83aecc, 0x375085c5, 0x11de9aeb, 0x6f110c98, 0x78da0864, 0x03e061ed, 0x9ee4cb5e,
+    0x2b558d0a, 0x534ae348, 0x6156afb1, 0x96c7fad8, 0x685758b3, 0xcbbf49f8, 0xc8424af4, 0x0bd4f347,
+    0x338410f6, 0x5608c346, 0x680ec723, 0x495d0eb1, 0x6d53b4b6, 0x96f2852a, 0x1121f9cd, 0xd44b7f24,
+    0xe7748812, 0xcb510d5b, 0xed46336a, 0x1a54a37c, 0x961f6201, 0x1047a1cd, 0x95b53a31, 0xa13be4ee,
+    0x5fe438fd, 0xa829e74b, 0xcea3ce3d, 0x27aac818, 0x18c23bae, 0xa0b36450, 0xf76639a1, 0x302512b3,
+    0xf90548ab, 0x119bfb76, 0x28b57101, 0x9216c01f, 0xf6f3ff31, 0x60f5119c, 0x769fd144, 0xd6ce2258,
+    0x0b5c8a24, 0x8509bc38, 0x7c8dbbbc, 0xe2fa6957, 0xf7dfc487, 0xc7d378d6, 0xa1cd1892, 0x8c9c5018,
+    0x138640ec, 0x8a776162, 0x51a4c4eb, 0x4762e547, 0xe52c10e8, 0x1de2f82e, 0xcac94be1, 0x5b8cd0ea,
+    0xa6fc745a, 0x09deedb1, 0x1c125a0d, 0xca72b707, 0x217a2746, 0x66319db7, 0xfa814e76, 0x075de13d,
+    0xccdc45c6, 0x40e9fcd1, 0xea6fe383, 0xad157cf5, 0xbbc739ad, 0xb41b1788, 0x9cb2185b, 0xf9333a3c,
+    0x6c9cc23e, 0x62d6c149, 0xd23e7a27, 0x15b2a2dc, 0x591d8ad4, 0x0d6e346d, 0x271e148b, 0xff23a6ef,
+    0xae75b7f9, 0xf93d94d1, 0xd80ce655, 0x2e9d6697, 0x384ce957, 0x1962ecc6, 0x7320e157, 0x83a0d745,
+    0x0921e358, 0x3bfc65d2, 0x0da9bd33, 0x04140742, 0xe0fe9c35, 0xacfa4198, 0xd8e3c9da, 0xb3ec0081,
+    0x920ea945, 0xca6657bf, 0x5adee63a, 0xd6b3f90b, 0x142b82c3, 0xe61339d2, 0x38e5c27a, 0x8aefe006,
+    0x56291071, 0xc8ff6978, 0x5eb2386a, 0x3e47f645, 0x19d4ab40, 0xa2225f30, 0xbed1f2ad, 0x131e6012,
+    0x927a9265, 0x79926840, 0xa9722b76, 0xcd52ce93, 0x6be3e706, 0x286e0f81, 0xc479150c, 0xaeda9792,
+    0x745c014e, 0xb5b3dc66, 0xa72a1d9b, 0xe5df8c10, 0xb60c7dbe, 0x9f2eeaf1, 0xb20b8164, 0xbdf51d87,
+    0x968750c3, 0x77ed70d8, 0x4866de11, 0x4e2b63d0, 0x32f06979, 0xa6134093, 0x04ba4a62, 0x8aac5566,
+    0xa7b49db2, 0x24e1f601, 0x163270fc, 0x36394755, 0xf1017282, 0xfd6ec74e, 0xac85a9e0, 0x9d37572c,
+    0xe87ae92e, 0xac39477b, 0xc670157f, 0x1389f367, 0x8f66b706, 0x54c794a7, 0x6b021d86, 0x98180676,
+    0x4c489b6a, 0x8e867cf6, 0x9563809c, 0xc7ab0c65, 0xa40b9c69, 0x81c7a68a, 0xcc7f82fa, 0xa77f2822,
+    0x3f7c971e, 0xfd0b2a15, 0xe00c456c, 0x518093ec, 0xf6cf4fb0, 0x1ce0e0e2, 0x30a28388, 0x08d16051,
+    0x2a62941a, 0xab907675, 0x34ba4df7, 0x163d0651, 0x494771cc, 0x47bfe423, 0xfc8de163, 0xd87105e7,
+    0x70f58386, 0xfa01cafa, 0x66c997ff, 0x305b5c0b, 0xdb8ce007, 0x890b8554, 0xe08677a8, 0xa26e3c16,
+    0x7f981aae, 0x35952777, 0x52ce6bc1, 0x5a59947c, 0xa7a56cad, 0xcce62780, 0xabfbe5da, 0x52454ffb,
+    0x9e8fddad, 0xdbc67ee5, 0x77c01ac1, 0xa9c76be8, 0xe52372b7, 0x0807b9ab, 0xa97ba79b, 0xb0caf341,
+    0x4cae2f67, 0xd9c0ff51, 0x68989460, 0x07ded08d, 0xe3839148, 0xe7a2cc39, 0x41745c87, 0x4d726537,
+    0xe85ae2e4, 0x5ab59b27, 0xdca33c03, 0x622e4e4a, 0xd102aa46, 0xb058fc57, 0x73fe14bd, 0x6158a975,
+    0x2a0cdf9d, 0x7f54444a, 0x3c7cd57e, 0x17be8837, 0x127e6b4e, 0x5692070c, 0x55cae24f, 0x258e6343,
+    0x35f2bc9a, 0x264191e8, 0x747e79a9, 0x0bad0f00, 0x42c99ebc, 0x81b978f1, 0xc5b7507b, 0xe2f26920,
+    0x346b760d, 0xa3d543bd, 0x4ad4dd50, 0x132a373b, 0x86e167b0, 0x515ff2b6, 0xe6a4f294, 0xa312a6c9,
+    0xb506ef47, 0x5615e0d4, 0x515b98f5, 0x417f77bf, 0x68784a1f, 0xaea93dba, 0x7885e676, 0x3445ed5b,
+    0x4594cff1, 0x14f73f16, 0x190db9b8, 0x4da5162e, 0x101eb9c0, 0x52c5ad3e, 0xb5c0d636, 0x9458a5f6,
+    0x619a7300, 0x4251c3da, 0x4cb6a793, 0x4f751ae4, 0x3aff1dc4, 0x10cd0c12, 0x52b7c545, 0xd2a030ff,
+    0x6e578815, 0x16d18a47, 0x39520b4f, 0xd07031f6, 0x08e364f3, 0xc9a8e106, 0x9a1dbb52, 0x3dc2f86c,
+    0x3a19edad, 0x4ea54567, 0xba4104bf, 0x70e9a065, 0x0397a089, 0x0c9d8baf, 0x7ca8d604, 0x4f5ea9fb,
+    0x1772fced, 0x428c0cab, 0x116365c9, 0xb2395129, 0xd43d38e9, 0xeb6ca81c, 0x62bdf3a6, 0x9919d664,
+    0x3989ff0e, 0x0bc90f5b, 0x10b0eedb, 0x6acd8dbb, 0x80bb40d9, 0x11ef9d27, 0x8da52665, 0xe86414b8,
+    0x4452f124, 0x01aff399, 0xc40bfb3c, 0xb125e74c, 0xa28407ba, 0xe7d063ac, 0x28ed1eba, 0xa80d87a3,
+    0x4f1b2613, 0xee037bd1, 0xe4ef4184, 0x4dfa168d, 0xea67d98e, 0x1c2c0518, 0xd1b95f43, 0x4f81f454,
+    0xb4c9f47b, 0x048f2ae7, 0xb6e495ab, 0x1a5eb5f8, 0x232633e5, 0xbcf41ca6, 0x9d600808, 0x0dea7886,
+    0xe0aedbfe, 0xcb9f72e8, 0xcf76c197, 0x22370090, 0xf0719789, 0x2a0b4881, 0x65901668, 0x6bb7b80e,
+    0x00000000 }, /* 10**00000000000243886605493436893076687283577591117636609229895700871160871637470\
+                         73216709529418907189891430183531024686147899385989241370687309994439728955392 */
+  { 0x00000000,
+    0x40000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2,
+    0x020b9e16, 0x7419943f, 0x7a77547c, 0xe8f892fa, 0xad8eb42f, 0x5850d7b9, 0x20159729, 0x533fc58a,
+    0x00000000,
+    0x93d90e71, 0x2eba38f2, 0xde8c64b6, 0x3f2a8196, 0x56260c7c, 0x2450e62f, 0x0e614fac, 0x16291a42,
+    0x58c1a8b4, 0x233c3197, 0x7367c994, 0x5030477a, 0x5e7df54d, 0xb2ae68b3, 0x18640c46, 0xdce0ea28,
+    0x3515438c, 0x66d0e1ef, 0x25ae0bad, 0xfcde16f0, 0x03dd4f9e, 0x12042a67, 0xef521501, 0xef9a4195,
+    0xbe628834, 0x3e6c3e51, 0xa9c613b2, 0x2a523633, 0x1314a537, 0xe52beb8c, 0x6df7c888, 0x8dd8a71e,
+    0xa74dec35, 0x7a17a3f1, 0x2431a93b, 0x494c308c, 0x970f6e5c, 0x0d699949, 0x90504b39, 0x3fc93616,
+    0x5d8add12, 0xc3e2f027, 0x1e1aafbf, 0x23b36ec7, 0x29178219, 0x311ff883, 0xed0368a1, 0xf5e09bea,
+    0xb998a24f, 0x5b74c580, 0x222c3f40, 0x3a3acd69, 0x8376d30b, 0x6f13e598, 0xcf9e1704, 0x6a3c3973,
+    0x87058405, 0x64060902, 0x80cb59bc, 0x71c8eb3b, 0xa92dfc49, 0x88eb56c4, 0xdc196042, 0xdebf622d,
+    0xd21639d8, 0x2214197b, 0x3c0be0cb, 0xac6a631c, 0xe49e2b13, 0x31d5e0d4, 0x3fbe91b2, 0x7d0b69ad,
+    0xe9a62705, 0xfc3be00b, 0x35ec24ed, 0x5aded369, 0x11cd33e6, 0x9ab3e829, 0x048bc7c4, 0x3979aa7d,
+    0xff0cd472, 0x53372996, 0xd68ba2ff, 0xffbb6db9, 0x12141b28, 0xe9ed1681, 0x7a77f3f2, 0x1f125935,
+    0x3daa1188, 0xf359e136, 0xb44fafa7, 0xc1dcfeda, 0xc4cd00c3, 0xd8b04385, 0xfc31a881, 0x77824aaa,
+    0x4a435170, 0x661a4d86, 0x0f5aa5a4, 0x04bbc176, 0xb6408a52, 0x03a15d87, 0xd89c16fe, 0x1db95aa8,
+    0x4b3f5e2f, 0xbe500b12, 0x89332212, 0x39afd207, 0x8cc0c7df, 0xad52a546, 0xf482dd1c, 0x3a639580,
+    0x489fbcac, 0x37950155, 0x639b7d62, 0x918bb3b7, 0x8848c196, 0x9066d4a5, 0xe53722ad, 0x0e8b41ea,
+    0x630e9096, 0x0abcd82c, 0xd3d6ed11, 0x5e511018, 0xc4adf50e, 0x17f7157d, 0x13b10294, 0x58fb302c,
+    0xc5662094, 0x01810b87, 0x8258c023, 0x8ce2e376, 0xaa563a91, 0xee8b3dfd, 0x6c634f06, 0xbe3fde4e,
+    0x7b7c5bc2, 0xef925647, 0xb54fd653, 0xb2d8c4ba, 0x447ba3de, 0x604f43cb, 0x0d344856, 0xe31e3c77,
+    0xe7688d66, 0x34c39d2a, 0xd754bccb, 0x00e00406, 0x35966b1e, 0xd8c9831d, 0x6b9f7e7c, 0xadd0b4ff,
+    0xac070344, 0x4bfad4f6, 0x2f275210, 0x48eeeff2, 0xf2001773, 0xacf44e0d, 0x58d588aa, 0xfbedfbe8,
+    0x58cbf6a3, 0x60ac296d, 0x0f08a7af, 0xa7ce74af, 0x7004b7c3, 0x6e458203, 0xfaa430d5, 0x06ed3b36,
+    0x1c811088, 0x0c7c17a3, 0x7e17fb2f, 0xb51a6487, 0xaaee5c48, 0xc47a0d17, 0xfa46f2a5, 0x1038c20f,
+    0xa9639578, 0xdabb5bf7, 0xd04cd45c, 0x6f260b43, 0x8b153058, 0x05f0e6ec, 0xabbd0a2c, 0xbe83fa1c,
+    0x7f7062ee, 0x7940b9e2, 0xac080b45, 0x8a5a34b4, 0xc613c32f, 0x1038e1b9, 0x4b111780, 0x49ec9f73,
+    0xcc9db6c2, 0x429170b2, 0xac4b0709, 0x660729cf, 0xc9270cec, 0xac3e2e47, 0x024b1e63, 0x6cf66c65,
+    0xc64988bc, 0x14d793bb, 0x1b4dda00, 0xf1956d29, 0xdbecb024, 0x5ef8b9a5, 0x038f97ac, 0xeba33c59,
+    0xfcc9d002, 0xb6f0d53a, 0xfbad54e2, 0x05f1d705, 0xf8ce1b45, 0xf2c51db8, 0x8d411c9f, 0x4a039f1e,
+    0xcf3f4893, 0xd0cad497, 0x92e73aad, 0x1f4261e9, 0xdfe3ab9c, 0x1979bfe7, 0xf54bea29, 0xc05979f0,
+    0x66b73ea9, 0x39530e9c, 0xf5822079, 0x5fbe6ef5, 0x6b6aaa56, 0x5332a85c, 0x6cd665dd, 0xcfface74,
+    0x622ad132, 0x366a61ae, 0xaadda78d, 0x75e835de, 0x6c41188c, 0xfcbc88b9, 0xa0f0e0f4, 0x0eb3ed18,
+    0x97e28cee, 0x1253a280, 0xed04f1bc, 0x5d94d851, 0x50c45cc9, 0xd6ec3374, 0x50f64fe5, 0x0fec0ae9,
+    0x22cd04f0, 0x0ae3fdf6, 0x128230ab, 0xa087c389, 0x7809ca50, 0x3ee463e7, 0x890b54f9, 0xbd3039a6,
+    0x6ec72fd9, 0x76dac548, 0x46c9f886, 0xa914fd06, 0x78cc2b9c, 0x68db2742, 0xcdc44590, 0x95542c14,
+    0xa065c530, 0xfdd1ed52, 0x09f7ebb9, 0xa352351d, 0xc44ebb13, 0x3b537ad2, 0xf9bd6d25, 0x010a37ff,
+    0x2f3dfd85, 0x05f4276b, 0xf3d87871, 0xd721c6dd, 0xf5029355, 0x8a715f9d, 0xfc37c460, 0xc2c84ea8,
+    0x6bbc37c7, 0x4b7c07c5, 0xeef03d38, 0xff5b98ed, 0xf75e6b22, 0xe68fdced, 0x6e8ff616, 0xecfe0ec9,
+    0xb329d0be, 0xd77cab0f, 0xb2d1968c, 0x3bb3fb17, 0x45bfb341, 0xfc68f18b, 0xdecafd32, 0x1282368a,
+    0x6b4bc394, 0xb862cc8a, 0x987956ad, 0xc3438fa1, 0x146a40e0, 0x1db56c5c, 0x6041a521, 0xeddd5def,
+    0x456b76a3, 0x288bf651, 0xaa4ccc7f, 0x04043961, 0x5421957a, 0x60c4e3a3, 0x4d6fc1bd, 0x8aefad6b,
+    0xb09f0500, 0xc66aa3fd, 0x5db6b3e2, 0x75bd1ac1, 0xeb4ef133, 0xdcecdd1b, 0x009ccc1b, 0xcc50bdba,
+    0x57283313, 0x088a52a2, 0x185947ce, 0x512d658b, 0xa254017f, 0xab9e1173, 0x357c565d, 0x12667bdf,
+    0xb3219cfa, 0x1b985ac9, 0x91761a5f, 0xd492a214, 0x84914615, 0x6ad0ef83, 0x27181fd8, 0xb0195c63,
+    0xd1e00181, 0xb3cac91a, 0x58d2062a, 0xf17c6aed, 0x7e0cdd5b, 0xd9a4cfc6, 0x2d28279f, 0xe19fe304,
+    0x58d53599, 0x1eacda77, 0xd3d25571, 0x6a17a10a, 0x5d1f9c80, 0x7b0c8653, 0x6212d80b, 0x6d382e4f,
+    0xd5a7bdc3, 0x3ad9c9f8, 0x67321397, 0xde1e25b8, 0x16006058, 0x7f699e50, 0x69a922c7, 0xd1c1f474,
+    0xb4d2a49a, 0x802ed042, 0x787ed6f6, 0xbc949a70, 0xf6e8f5b6, 0x2c7232fe, 0x33857f6b, 0x6a52f151,
+    0x05691841, 0x986765eb, 0x90c1c869, 0x14c9dbca, 0x2feb7b52, 0x27c25759, 0x1d8c3fd9, 0x3117a547,
+    0x467a5472, 0x26200fac, 0x34b89060, 0x7e46fcb3, 0x401d4e24, 0xbf560a1f, 0x63184fb6, 0x9c2463d0,
+    0x3e874648, 0x8aca8124, 0x232f636a, 0xd7b4aef7, 0x432e05d7, 0xc1cd58b7, 0x4065e474, 0xd27cea99,
+    0xdc9c30af, 0xe7425625, 0x043143cd, 0x39fa1069, 0xb35a9309, 0x59a8c777, 0x670b0dd6, 0x2d6ae919,
+    0xc1b29aab, 0x226a7a61, 0xac175672, 0x7e149416, 0xfdd8f01a, 0x4f30c4fd, 0x04b2a28c, 0x23fdca5c,
+    0xc8ec1252, 0x59b70393, 0x735f9bb1, 0x8f283ae6, 0x4ec17b76, 0xfc48ed38, 0x6a8a9f1c, 0xed84eb07,
+    0x3db29368, 0x7209decb, 0xa6861526, 0xcd414623, 0xf108ed53, 0x284e951c, 0xc31f5e46, 0x033ed5d0,
+    0xee8224b1, 0x86236cdb, 0x29170c16, 0x6532db1c, 0x4916421b, 0xaff33175, 0x2abe012e, 0x7578a89f,
+    0x846c122a, 0x99a6d3be, 0x0e11e842, 0x30988420, 0xbeb02d87, 0x9be5b264, 0x9be80323, 0x1ccafa52,
+    0xedfe2cd5, 0xdc971dc1, 0x616500b7, 0x85263cd0, 0x4896ff6a, 0x890816a0, 0x6b980e52, 0x8b17ba0c,
+    0x2f2461c6, 0x3a48b884, 0x4ea62154, 0x85eabe2b, 0x557db166, 0x03cdd07e, 0x08e36d2e, 0x4947be40,
+    0xf09bf766, 0xa8e6c591, 0xca341488, 0xc052dec0, 0x17f02e60, 0xf01b355c, 0xfc45ed9b, 0x929856f6,
+    0x743d2045, 0x3205a2bf, 0x38707ba8, 0x86bb004e, 0x7eb9866b, 0xca8af87a, 0x142d7c48, 0x04144ec6,
+    0x4a8ca2bf, 0x3bdf1ebc, 0x7b04f8f9, 0x30e27c95, 0x1002a128, 0x7b3e4818, 0x16eeb1de, 0xa82bc5d7,
+    0xb3ef0fae, 0x072ca65e, 0x3b815a49, 0x599f1769, 0x86545792, 0xfffd2d03, 0xbadc57db, 0xa7d3c52e,
+    0x8595ebee, 0x4b101d8d, 0x86b098b2, 0x1c5c3da2, 0x4fc326f1, 0x00ee4714, 0xfb5d9747, 0x5f028cea,
+    0x0352783c, 0xb669ab7d, 0xd2c98b3b, 0xcfd533b5, 0xee47eb86, 0xe6f7e3aa, 0xd52cd2c2, 0xab6af8e0,
+    0x60f3ddb0, 0x70a358c2, 0x37e3bb1a, 0xd85ceb16, 0xee515c60, 0x50951c41, 0x567356ed, 0xb2565de5,
+    0xc770f92a, 0x82f28032, 0xb62e8a3b, 0x1bdea966, 0x459704fb, 0x29502b00, 0x5573daf8, 0x4435b599,
+    0x3a752fa6, 0x65d0d461, 0x84489447, 0x4006eaff, 0xa6a78fb8, 0xbe9ac75e, 0x052dbdf5, 0x67f2b493,
+    0x48cb0a72, 0x86d48fec, 0x2461394a, 0x9d4d3551, 0x66324f07, 0xfb72f12f, 0xef02e051, 0x7e95c26b,
+    0xcb8eaa75, 0x4f720520, 0x5f8951a0, 0xf65f73c8, 0x2eac0384, 0x296e2d38, 0xf43c7083, 0x628f6a35,
+    0x94973f01, 0x05092407, 0xbc73e5d1, 0x7f957bd0, 0x9911ae9c, 0x58f473e6, 0xbbe39a19, 0xf6c16c23,
+    0xbd949960, 0xb3d5eb9d, 0x7c199ab6, 0xde50ca3c, 0x1595512b, 0x0e699f73, 0xdee9934a, 0xc607178e,
+    0xedd53f41, 0xe001af90, 0xaa6c3bb4, 0xea7622d6, 0xbae2b235, 0x5c2887fe, 0xc4cad2e9, 0xe359ff34,
+    0xb55b6b10, 0x26897cdc, 0x88daa0ba, 0x52305ef8, 0x06bcb070, 0xa53a6941, 0x9874444e, 0x39aa6c8e,
+    0x11440ca0, 0xe2801961, 0x5c339804, 0xd222ea36, 0x3f04a286, 0x9845a06f, 0x76909744, 0x84cb11fc,
+    0x4aaa2828, 0x92f7c33b, 0xe6a77b0c, 0xab8000f9, 0xbd31760c, 0x64f5d9e6, 0x86b3135e, 0xf1962f94,
+    0xaf9812ea, 0x04917ebf, 0x0e60e9ae, 0xc43cd011, 0x97fe36dd, 0x2a25643f, 0xcebeb7f5, 0xb600a771,
+    0x9fc6990a, 0xbb0e9eb8, 0x4e0f7f71, 0x9e886b0c, 0x3869c1dd, 0x37b0f1c2, 0x5ff5289a, 0xeb0711e5,
+    0xe353302c, 0xe04855ad, 0x3862e9f7, 0x787c1970, 0x12a9993a, 0x7e35b7c3, 0x048c0db8, 0x4bcae131,
+    0xff918445, 0x6038417a, 0x44db2a79, 0x80c4284a, 0x47b15851, 0x684cd3b9, 0x6962ce4b, 0x2d3399d1,
+    0xeb5e3ccb, 0x7dafdb71, 0xea9e0e83, 0x9b1118db, 0x23ad9c03, 0xf447a76c, 0x1399a9f6, 0xd27d0c26,
+    0x68b78819, 0xa982481d, 0x5b8e2779, 0x9511e77c, 0xcca33c78, 0x7fe9af1a, 0xffe81933, 0x3b7d5cee,
+    0xc8a1ec76, 0x243ad33f, 0x1b946224, 0xe801df10, 0x266f149a, 0xf99653b4, 0xd5fe1e11, 0x91d6f9b8,
+    0x65ad159a, 0xee0c4faa, 0x9151fc6e, 0x5567220c, 0x119184b8, 0x3cfb8006, 0x9920749f, 0x19e0bc1e,
+    0xbe30de9c, 0x20693a60, 0x35f67d43, 0x55c18810, 0x06d0edd0, 0xdd38be4c, 0x3935151b, 0x89e1b918,
+    0xc637c95c, 0xe6e01d9b, 0x1d1a2e54, 0x469c34d4, 0x9722231b, 0xa997c173, 0x931030e3, 0xbe7b60d5,
+    0x8718be0c, 0x462af12f, 0x2bb7e656, 0xbde82266, 0x5a0d0b54, 0x0a1434c9, 0x5491791c, 0xb8d8ec42,
+    0xaedd6658, 0x691c1a1c, 0xd2694641, 0x59de66cc, 0xa94686e7, 0xd3f27339, 0xaf2ae092, 0x3b04d8fb,
+    0xd7a7ed10, 0xf76057fa, 0x1ef080e9, 0xf0bee23c, 0x6f655359, 0x71eed393, 0xf419ab59, 0x902b4cda,
+    0xc85e76c5, 0x6139f4b4, 0x1a6d900c, 0x689d29cf, 0x8ac88ae1, 0x630eadef, 0x7719b7c1, 0xdf68f80b,
+    0x697b7f49, 0xcd6486fc, 0x31caf176, 0xa16fea3e, 0x81f23230, 0x8f21e9fe, 0x48216fa5, 0xf0a7c1dd,
+    0x39f07130, 0x142f7d20, 0xc3bc34df, 0x732db1d4, 0x8abef9fd, 0xc4a36a11, 0xdc9f21ff, 0x218021d1,
+    0x3f463c23, 0x0c8823fa, 0xfe8683af, 0x2bcd4212, 0xf1386d77, 0x95f28eb2, 0x08f2e1f6, 0x3358c1b2,
+    0xfe0663cf, 0x37deb8b9, 0x9e54d532, 0x56aa604e, 0x66ee7d7e, 0x72c5bce6, 0x24f380c9, 0xd987bff4,
+    0x213a8552, 0x42e5c38f, 0xb8a750bc, 0x05793ff1, 0xc98356d4, 0x32f5cf31, 0x5cadfc5c, 0x7b9746b1,
+    0x97f96fca, 0xfbd86e93, 0xe09451fd, 0x215dcb8c, 0x54b782c6, 0xb3d52f7f, 0x25dd9416, 0xce9c4663,
+    0xced50ecc, 0x74e6eb88, 0x97936915, 0x4d848350, 0xa4197c36, 0x19d79342, 0x3b15e151, 0xd2f1760b,
+    0xc98c6532, 0x07f7e18a, 0x18d7d39e, 0x4ceccc8e, 0x4683b0b0, 0x8895d976, 0x6d066661, 0x376fed00,
+    0xdc6d1c2b, 0x069ca708, 0x74967357, 0x037ec454, 0x09ebfcca, 0xe99abc24, 0x40f3b0ba, 0x583960e2,
+    0x19d5223a, 0x5d8d8849, 0x5c996d20, 0xe40d885f, 0xef887088, 0x476fbc98, 0xfbae7977, 0x47c835a2,
+    0x30cdddca, 0x5861b5da, 0x766776eb, 0x8319053f, 0x7a5c68ca, 0x1cf3466b, 0x4ce841d7, 0x76da0047,
+    0x36ccd73a, 0x257d025e, 0xa4e89bb0, 0xbd31d465, 0xf88cb4f7, 0x04607b0a, 0x5d81ff98, 0x452506b7,
+    0xade8b04f, 0x36ef5f00, 0x39ac4e1d, 0x06c3d1b2, 0x80b380fc, 0x8332c826, 0xb8c9a9fe, 0xacf561cb,
+    0xb6a3e6db, 0xc26aa3cc, 0xc4a55b55, 0xbcd5ba54, 0x51cbd2a2, 0xafdf76cd, 0xbb9a9f13, 0x26164a1a,
+    0xa5298c7f, 0xc8069cd2, 0x60532c96, 0x2f983f69, 0x239817fd, 0xff64ad33, 0xce20080e, 0xdb609566,
+    0xe358ce14, 0x7d2b150b, 0x61d1b904, 0x62050476, 0x6b03049c, 0xe592b956, 0x63fbf304, 0x6fd955e3,
+    0xf0bd2f22, 0xa44de5ab, 0xe7648913, 0xeac95599, 0xf44a77b6, 0xd07f8b54, 0xacbeb17e, 0x479bd1c8,
+    0xc35e8482, 0xd0a6555e, 0xf80c647f, 0x7e55f514, 0xb3a4235e, 0xb90a4b76, 0x635dae76, 0x88bc7a56,
+    0x2f78f564, 0x9de35820, 0x76a3093d, 0xa80c6001, 0xf6c50a38, 0xf3fdb9c8, 0xca89ff50, 0x58843bad,
+    0x77ec9984, 0xa5f556eb, 0xb6c0f254, 0xd0d42a0d, 0x804b025f, 0x48404d96, 0xd4eff651, 0xc1df640d,
+    0xc2dc3cce, 0xbecd6df9, 0x4c5de6fa, 0xcf9fd419, 0xe92637d6, 0x00f2d90e, 0x824d3ee0, 0xec9fa583,
+    0xd8bf53c7, 0x4ed6d7d1, 0x9ef4182c, 0x5e57b520, 0xad04b4e2, 0x4dbb2f33, 0x64a5564a, 0x216918c6,
+    0x9514e33e, 0x3da6c45a, 0xc104cb0c, 0x1dc7c7b2, 0x9c2e601b, 0x33b588e2, 0x6b5a7d51, 0xe159aac9,
+    0x56ca7a11, 0xf8dd1dc2, 0x139a8b36, 0x5256451d, 0x71e1816d, 0x838ce6bb, 0xca47708c, 0x02c9bb68,
+    0x38695912, 0xa0a528ee, 0x2142b391, 0xd5705d04, 0xbd75ebc8, 0xe4486b9b, 0xff337ad3, 0xa7202f59,
+    0x37791a51, 0x7cc7935b, 0x44dd1704, 0x4d871fd0, 0x9214fd2f, 0x8b3ae870, 0xa86e6fe2, 0x3b215417,
+    0x5c60fcb0, 0xa0c23841, 0x7ff11e30, 0x051254cf, 0x2fe54539, 0x3f86f52b, 0x5e7ff0a2, 0xf7d27a31,
+    0x8dde13ff, 0x1deaa26c, 0xb879f40a, 0x78265711, 0xdd136c7c, 0x6ad7869f, 0xb67bb553, 0xa2a810b2,
+    0xc2d0c622, 0xc1af35d9, 0xf4cf2999, 0x824fdb07, 0xb730adac, 0x12d3198a, 0x1b6ae6ee, 0x62430559,
+    0x39367d60, 0x8d7a1ac4, 0x431cc5ad, 0x06a3079d, 0xa3086705, 0xbdcf1f28, 0xa2031a85, 0x9197d00a,
+    0x8488b8af, 0x6a8985e1, 0x19ab6549, 0xd7a05515, 0x628f97b6, 0xed10ae54, 0xa5e48fc5, 0xe14340f2,
+    0xf80956b9, 0x4fb99c5b, 0xd4d27832, 0x85c37747, 0xcf6768c4, 0x7d821563, 0x99bb913b, 0xa9d55c54,
+    0xfce6cd26, 0xa4943314, 0x56946efe, 0x9fb57093, 0x41cb8b90, 0x740506d6, 0xd804251f, 0xd33c881c,
+    0xd4addf7b, 0x5c758b4c, 0x4ce3f6c0, 0x6bc75da4, 0x3d2a3b73, 0xa5d25cda, 0xed52add8, 0x70ead269,
+    0x79234695, 0x33c84c79, 0x1d337cb4, 0x1e38f1c7, 0x8ce63295, 0x9dc5b627, 0xa66275d8, 0x67a2e10b,
+    0xe18a123d, 0x691f3472, 0xdaed3e56, 0x1c1ec82a, 0xce132e96, 0x416620bc, 0x7436af6f, 0x6996b14b,
+    0xfcbfce7f, 0x2bb23228, 0xef30a3ad, 0xcf9ab149, 0x68309b4c, 0x1929812f, 0xed41b953, 0x2268f475,
+    0xc3320754, 0x2af045e9, 0xabe9fbbe, 0xe3ce3bfc, 0xb2daf8ef, 0x7014fb8d, 0x6b952dae, 0x9064aeea,
+    0x00000000 }, /* 10**00000000000121943302746718446538343641788795558818304614947850435580435818735\
+                         36608354764709453594945715091765512343073949692994620685343654997219864477696 */
+  { 0x00000000,
+    0x40000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59,
+    0x0105cf0b, 0x3a0cca1f, 0xbd3baa3e, 0x747c497d, 0x56c75a17, 0xac286bdc, 0x900acb94, 0xa99fe2c4,
+    0x00000000,
+    0xc28c5ffa, 0xc39bd833, 0x87d61d92, 0x4016b729, 0x538a85f3, 0xaebe8e48, 0xa4ebaf3c, 0x01ee6319,
+    0x5e85a092, 0x0e7f7545, 0xdef7f606, 0xf836e342, 0x360b97c6, 0xeabe654f, 0x58ca78ee, 0xa46ef7b8,
+    0x59c8781d, 0xb0bb7841, 0x3082988b, 0x5a9c1f11, 0x1c50dc0f, 0x1735c769, 0x3abf8a73, 0x483b08d5,
+    0x97204c2d, 0x971b7756, 0x3f221ae5, 0x3c5905ff, 0x195f2301, 0x847a4d62, 0xc49f1d0a, 0x57331c62,
+    0x0744d0ca, 0xe5b1b79c, 0x0b2fa9a5, 0xc846da6a, 0x2698e3bd, 0xf8184023, 0x029ad677, 0xa6007bfa,
+    0xf49d9dea, 0x6c5d3ed3, 0x11c93b90, 0xd9cc1592, 0x6299725d, 0x7a8b441e, 0x0c8aceb7, 0x74a1f044,
+    0xa5bedc3a, 0xf39aa741, 0xc5f20cb1, 0x2b773c84, 0xb0ca4872, 0xac1cf009, 0x9a76392a, 0x98e79ef9,
+    0x07c00a76, 0xcc7f7a65, 0x097d95bd, 0xb0cfdeea, 0x0def1b58, 0x25cda7f7, 0xe012fe4e, 0xbdc0280e,
+    0x8589e6e2, 0x81354ed0, 0x0537c792, 0x4c3e0c54, 0x8b1dd1ae, 0xc1fa2fb9, 0x35d96310, 0x43dfdb51,
+    0xfa331374, 0x99aabff7, 0x3b47e38e, 0x7e5ae8f2, 0x2bec1915, 0x150f6a81, 0xe3bdb726, 0xbdb1a21c,
+    0x9527ae79, 0x0becf0fd, 0x9f6ab593, 0x2dd49cb1, 0x4e3a6cfd, 0x2d72e7cc, 0xad57e8d6, 0x2a33dce1,
+    0x298d068a, 0xcf590776, 0x1b68a083, 0xb0010cf4, 0x09515bbd, 0x4c046b03, 0xcaa37684, 0xcbffe3d3,
+    0x1299cc53, 0xe368e2c5, 0xd596636a, 0x1f2cb140, 0x9bddac4f, 0x0ffc5f4e, 0xfcea40c0, 0xd04384e8,
+    0xcb27edae, 0xa3138fa4, 0xdf6f5e0c, 0xf5be4bcd, 0x5d6db1f6, 0x17094cc4, 0xbed75d7b, 0x77de7062,
+    0x37a29623, 0x6e699dff, 0x2831925b, 0x89315aa8, 0x8452c715, 0xd9c060ac, 0x4a4875de, 0x7054b543,
+    0x1f428595, 0x629cd9d7, 0x5c3f4b7e, 0x03d1a66a, 0x917607e6, 0xc8093dc5, 0x1de103a7, 0xd6baf6a5,
+    0xb79e067a, 0x50a95418, 0xdf13b740, 0x626ddea7, 0xd803d86d, 0x10981cf5, 0xb607fe14, 0xb949dc61,
+    0x72292180, 0x6b9fb561, 0x7cfa1be3, 0xce4c01c1, 0xff4890da, 0x60e5a69f, 0x862c7ff3, 0xd65132cd,
+    0x61ee5f1a, 0xc74169ad, 0x45ff3df4, 0x67f90672, 0xf9ba9c37, 0xc2501ca9, 0x62f0298b, 0x3876a5d7,
+    0x1cbb172b, 0xc9f282d0, 0xe306d731, 0xc09aae3b, 0x9627539d, 0x02e946ab, 0x4d511f1f, 0xdf4cee04,
+    0x63bb691d, 0x279cdc96, 0x68bcb356, 0xb5f30f5a, 0xcb3f8d98, 0x3c3bde97, 0x7c170e7d, 0x6b139a6c,
+    0x893b9ad2, 0xdedc2a3c, 0x00bb7005, 0xdc957677, 0xfb8c5a14, 0xf0483352, 0x57c08f27, 0x92b29db4,
+    0xb730d1d3, 0xa3f582f4, 0x0e647f25, 0x02c700d3, 0x67f56c9a, 0x1843ce19, 0xf9cfd632, 0xc6cdc030,
+    0x6e97b3c9, 0x3c9c4590, 0x8ac9b511, 0x002693da, 0x5dbd1f3e, 0x20e35921, 0x5d6156a0, 0xca25542b,
+    0x9f972b85, 0xdd416c66, 0x3d0a14ae, 0x0e09bda8, 0x98bb1c8c, 0x5eddb62b, 0x5e81a2ed, 0x49330372,
+    0x630fd7bd, 0xeb8fe471, 0x15387038, 0xefe26580, 0xcc30b21a, 0x77a6ff01, 0x9d16fc8e, 0x5a26634f,
+    0x4e30f62c, 0x4abaa00e, 0x4665d7ba, 0x3a366181, 0x4c1937aa, 0x5c8d6e4d, 0x443a7547, 0x7108baa9,
+    0xa057e31d, 0x79dec434, 0xeec641f8, 0xcb38672b, 0x0d4ab034, 0x53cc1417, 0x5a859331, 0xb7d7cb56,
+    0xd8d6951c, 0xe63dad03, 0x5336438a, 0xd37bc59f, 0xd8dbf895, 0xb646219e, 0x48d61fd9, 0x456405dc,
+    0x43bdb514, 0xe7706bd3, 0x6d9c74d0, 0x8600facb, 0xe3f1746c, 0xbd6d2780, 0xa3476c93, 0xe77b329d,
+    0xbb4516a6, 0x7f772c14, 0xeec373e4, 0x1d4043de, 0xf83754e3, 0x40d23dcc, 0x1dd1b363, 0xaf8a0968,
+    0x10531654, 0x40af59e5, 0xeb48046f, 0x7b3fffb9, 0x32d5554f, 0xd1d3187a, 0x6d3ab69d, 0xaeed644b,
+    0x4ec234b7, 0xaeeaf5d5, 0x0fc64a88, 0xd4f33dba, 0x86f44331, 0x5f70d62e, 0x94935aba, 0x5541c4ca,
+    0x8ee34c61, 0x7317b437, 0x2eb882a8, 0x9890d8bc, 0x6975b2a9, 0x021cbbd6, 0xde61cf66, 0xe582c230,
+    0x52535988, 0x0c8f5c01, 0x7e69aa10, 0x48b78725, 0xb6a629c8, 0x01937d15, 0x08460cc4, 0x34e5e4a0,
+    0xf3a34a2a, 0x4112f81f, 0xebbd3ce7, 0xc3643b16, 0x78cf9d1a, 0x769d978e, 0xd0b0e6c8, 0xe07396a6,
+    0x5f0d03fd, 0x3d99108a, 0x8be9255b, 0x21a4e5de, 0x70a12cb9, 0x9fda3195, 0x1263d993, 0xe85418cd,
+    0xb9a501b0, 0x3fed9f14, 0xfc9da3cb, 0xd3d07503, 0x81dec12a, 0x32a82f4d, 0xbdba1af7, 0x4e36664f,
+    0x1dad712b, 0x8a8f182b, 0x9a4d8374, 0xf0d72645, 0x47804a13, 0x27a27c93, 0xed1b7b6c, 0xe6b9fdfb,
+    0x120e2e9f, 0x1433a31b, 0x4cd92934, 0x0401722b, 0x042b5b2a, 0xd820b07c, 0x5127a672, 0x71d0c352,
+    0xb67d5112, 0xbde500a4, 0x98bb05ca, 0x7b4aa30f, 0x3ccbd85c, 0x6ee877a8, 0xc96de46f, 0xddafaa73,
+    0x34efb9bc, 0xfa62af36, 0x2895de57, 0x4879c04d, 0x7898e3aa, 0x862ebc9e, 0xa1e762e3, 0x90d479d0,
+    0x14ec872f, 0xff911da5, 0x2eab7619, 0x4b110fd2, 0x600f1146, 0xacc3e180, 0x788775d4, 0xf9b18a5d,
+    0xcbf81766, 0x257f5df5, 0xd2725ee3, 0x1053eb92, 0x290b985f, 0x8775bdfc, 0x564e0d11, 0x243b01a7,
+    0x774d0c29, 0x2abcbd15, 0x68068e29, 0x4e290f97, 0x7f25078a, 0x6a870dda, 0x805c9df1, 0x800d7604,
+    0xab85decf, 0x4bd14a52, 0xffff883d, 0x3e1a1905, 0xf9b6da26, 0xf0edbf29, 0x2938f0f0, 0x0b92baad,
+    0x547a6a56, 0xa0398901, 0xf2d67d9e, 0xe35cd11b, 0x3fc1d811, 0x82bc0f93, 0x1111f79e, 0x9ec9e760,
+    0x6b8e9bc2, 0x015536f3, 0x69b06dc7, 0x9b92bce8, 0x97cce843, 0x812f38d0, 0x8983f876, 0x5c743ffb,
+    0x80d073e8, 0x38d7182d, 0xf28d02b0, 0x3cd8c89b, 0x7b807776, 0xc8debee1, 0x07cf2fa2, 0x54fceba9,
+    0x7d816e83, 0xfe05097c, 0x22e3994d, 0xc8e3ec8d, 0x1a7bf5ed, 0xfe8f1e1e, 0x3d3055ea, 0x25ddcd8c,
+    0xd33a6624, 0x2b99aaba, 0x27ff18bd, 0x782b595e, 0xba9ddc34, 0x57aedee1, 0xaa7f102c, 0x48b681bc,
+    0xae1df6f1, 0xee7334c6, 0x1a208e92, 0xc4100c1a, 0x1a9ad542, 0x5e8defc8, 0xbf1ce319, 0x2564b0c8,
+    0x6019bcf5, 0x5907ac46, 0x8c3bb19a, 0x3aa5bfd4, 0x6d805923, 0x9a751a84, 0x3abfa6c5, 0x0a08b3bc,
+    0x0a0ff7b6, 0x369408a0, 0x40755d83, 0x6031cd2e, 0xea7c7d6c, 0xdff65a12, 0xd477ad35, 0xbf7855db,
+    0x1713e08b, 0x29d84c25, 0x198e91a2, 0x74c9688b, 0x60ad945e, 0xe764783c, 0x6ce62d87, 0x859a7ef9,
+    0x59bef5ea, 0xddb13354, 0x8f464566, 0xe698ad32, 0xb2c5b7fb, 0x66fb894e, 0xbe0957ad, 0x6787b78f,
+    0xd662dee7, 0xa361e72e, 0xdd8e705c, 0x8db7bc13, 0x5a23939e, 0x87a5662c, 0xb8777e6e, 0x6f46db3e,
+    0x8183cf1a, 0x795039f1, 0x8206938b, 0x65c970e8, 0x0fb5a851, 0x09b2f9e6, 0x2c8700d6, 0xf474d0d9,
+    0xa6955898, 0x5aa33253, 0xd1c961e7, 0x738f3db7, 0x0c2c8c14, 0xd2addaea, 0x2280850d, 0x190a65d0,
+    0x5d219273, 0x794d259b, 0x897a6653, 0x2ec094af, 0xe1d4dccf, 0x091cab80, 0x964aca3c, 0xe506e4cb,
+    0xd790e2d7, 0x8f529b45, 0x98eb2725, 0xf746be69, 0x817e0383, 0xb5d07ee7, 0x0df96ecb, 0xccc3ca5a,
+    0xbbbaaaa4, 0x7903b01a, 0xe8259827, 0x461aef8e, 0xcf4d314b, 0x17d3cd58, 0x81743e4f, 0x10e07664,
+    0x3d0c1563, 0x444620c3, 0x89179c24, 0xd2b6a6b7, 0x48cb19e9, 0x1f9ab4fd, 0x11e5ee5b, 0xabadd687,
+    0x50b834e9, 0xe8904616, 0x60e67385, 0xfdc754fb, 0xcf58997f, 0x1a6fe5ca, 0xdfe96c56, 0x35e21cb6,
+    0x7d3e613b, 0x78606e6d, 0xc690a996, 0x56df036a, 0x47bd30ec, 0x548e446c, 0xbf0579d6, 0x9bf822bf,
+    0x3a59f402, 0x1d0d012c, 0x3ec48ead, 0x2fb2b3b7, 0xf98779bb, 0x1ab81f5a, 0xb6b21d3b, 0x4bccd312,
+    0xdeba2d4b, 0xdccf8b8a, 0xea00b2ca, 0xbcd2c855, 0x5cc6a505, 0xbb11c966, 0x6a558e3a, 0xcad001db,
+    0xf37b8b26, 0x68ac634e, 0xd157a607, 0x419166a6, 0x004444c0, 0x073c09d9, 0xa6076536, 0x6839454e,
+    0x9118427f, 0x68499e05, 0x40f4ad14, 0x8086c4cc, 0x0df74250, 0xc4adb465, 0xfbd11738, 0x2a94f78b,
+    0x0d10fb2b, 0x6e34fdec, 0xfb178cb2, 0xc7eec390, 0xab57259c, 0xb87146b4, 0x20dd9216, 0x6f9e2141,
+    0x229ee4db, 0x177aaf8a, 0xc2a81b33, 0xc784aa98, 0xb1109abf, 0xe81c679c, 0xd1b9e1e1, 0x8f48e340,
+    0xacfecb0c, 0x752a776a, 0x1902fc91, 0x804451ee, 0xa760ff0e, 0x606e6283, 0x1f98cf3c, 0x6a939641,
+    0x5eac0c62, 0xc333692d, 0xd68ac254, 0xdf6aedc8, 0xbbdac8eb, 0xd435f056, 0xd747f183, 0xe0d38b80,
+    0xd1f1a770, 0x625ca690, 0xdcef9388, 0xeb25a204, 0x85b20f94, 0xfc7b85c8, 0x92e36756, 0xc4c77e56,
+    0x2a9f90b2, 0x05e438ea, 0x5c389a72, 0xb716fbe2, 0xaa13fc73, 0x7ec17e63, 0xf222089d, 0x90bc6853,
+    0x72c61a5a, 0xccaf4119, 0x728c864f, 0x5efeebfc, 0x97730cc3, 0x4d0b6ed3, 0x5ea7d0c0, 0x26fc7751,
+    0x283f7c86, 0xc2f16c11, 0xfb1a21d1, 0x34bd7865, 0x4b9e27a3, 0xc5a4aac6, 0x14d291f8, 0x1aa2c245,
+    0x5a914995, 0x69c6b67c, 0x58399d9d, 0x2ddcd7b0, 0xc0b0c9e2, 0xc4e3d6fc, 0x6ada38ea, 0x95e3b59f,
+    0xbe9e563e, 0x55421c0e, 0x49ed2c50, 0x2234eb41, 0xa5c1b4bd, 0xd780d257, 0xabf28e64, 0x52e9c866,
+    0x683c720b, 0x71e0c39c, 0xda589dfe, 0xd1e31dba, 0x69684a9f, 0x47a400ec, 0x6b3013c7, 0xeeb1e76f,
+    0x6d542e1a, 0x48417342, 0x3a869552, 0xf211d4bc, 0x90ad6c90, 0x0c89d88d, 0x86fbcb0f, 0x7633cd9b,
+    0x79cba975, 0xdc0999b3, 0xa736b852, 0x6f92cb2f, 0x25fac64a, 0xd094767f, 0x1c5a5fa3, 0xb132c0d2,
+    0x347fd1a4, 0xe1df4038, 0x38253df2, 0xc11fb741, 0x02e7af9b, 0x59c3d324, 0x183171b1, 0x60226cc9,
+    0x4a8f45d9, 0x67b36edd, 0x8e1c0188, 0xea95ad62, 0xe6574bf5, 0x04c64db7, 0xeb663a6b, 0x8443837e,
+    0xa1923ef2, 0x8b0476c8, 0x086e0e58, 0x0ae6fb33, 0x0286db5b, 0x9fe12357, 0x7a3a9541, 0x5c9e9274,
+    0xd6f6fc8f, 0x5cd2bfb4, 0xdc5379a0, 0x61ebdd37, 0x7cb677e8, 0x0ad8b0a1, 0x6acc085a, 0xeff0074c,
+    0x1de12d51, 0x69c4d686, 0x2945b47a, 0x01da3591, 0xd9c60ab9, 0x100a955c, 0x1a5b4408, 0xf5eb0dcb,
+    0x0786b177, 0xad212966, 0x4ed6b3d8, 0xef976943, 0x01e2b8a3, 0x2ea7e23f, 0x7b1eef4c, 0xd796132e,
+    0xd3eda81a, 0x2119ac31, 0x4c3557fa, 0x7679b572, 0x8019ee47, 0x83b4803e, 0x769bbd17, 0xfdc9d441,
+    0x0edf6b34, 0xc2e9a0af, 0x4528e1ce, 0x125f1c27, 0x9d6034ca, 0x034299de, 0x545d3aa9, 0xda52b60c,
+    0x29db485d, 0x36cc95aa, 0x55b9d62f, 0xb050da23, 0x22c2b61d, 0x52b589e8, 0x8d2b47a8, 0xc7c9e766,
+    0x6881b9bb, 0x8ad41225, 0x29fe98bd, 0x36bcd89f, 0xd93f6a0b, 0x03d3e1a7, 0x1ccc4f69, 0x6c7acc1a,
+    0x60ca8132, 0xf40eaabf, 0x03e57050, 0x0af87d3e, 0x515bbadb, 0x9ad50208, 0x31daf259, 0xae7b8f38,
+    0xc62d6a6e, 0x79282607, 0x66bb73a7, 0xff746507, 0x54eb04fd, 0xcb5c99a6, 0x5b01fe2b, 0x7c95d1da,
+    0xb9d4fdb3, 0xfa7e3577, 0x2371501c, 0x08fe4ef7, 0xce58ae35, 0xb23702a0, 0xae911d68, 0x8081e0ea,
+    0xbaa62da8, 0xeef03306, 0x30a4a90a, 0xac66dbf6, 0xf172bf92, 0x10b32f30, 0xfa6e5ff0, 0x3d903f6f,
+    0x9f4920e0, 0xa98a1547, 0x4b30dbb5, 0x2f408b28, 0x2295d2a4, 0xaa6bb944, 0x009c2569, 0x65ab2d4a,
+    0x5d113590, 0x86a12235, 0x358668b1, 0x87bb21f1, 0x2b35c66e, 0x1f852e7b, 0x21277dc6, 0x1a278873,
+    0x34a3b565, 0x37c623fa, 0x7d9b0ea6, 0x1c51d314, 0xd4bf7a8d, 0x5bde7c85, 0xb6e08976, 0x760de786,
+    0xb951bacc, 0xccd95655, 0xd1308053, 0xbda9cb5b, 0x5c8776e3, 0xf33344ed, 0xc6c10f00, 0x0a7b3546,
+    0x8297c95a, 0x9a56b7f5, 0xea59b4c2, 0x3c67ddd3, 0xf208fe25, 0x24454b48, 0xb1abcb56, 0x28cb2afc,
+    0xd67cc8d0, 0x29d310d5, 0x0b5115dc, 0xcc3fd9ed, 0x950a8716, 0x5364cf65, 0xc2ed5ce2, 0xd3c4a97d,
+    0x975f0675, 0xf9bc2dfc, 0xf112dfc1, 0xb1af370e, 0xbf73bd3e, 0x5faf275e, 0xe5d05763, 0x1b393d0d,
+    0x35de78a8, 0x03f2ea7b, 0xa8b3b9e9, 0x6c010975, 0xcc7afaaa, 0x677931fe, 0x0a0273ec, 0x5c5dbf05,
+    0xcdf30d35, 0x7b824806, 0x4822fba5, 0x0c7c5ffb, 0x10fcac0f, 0x2212befd, 0x08eeeb2a, 0x2f69784d,
+    0xadfec83e, 0x1fb6a35c, 0xa94a2e6d, 0xae083c5b, 0x1c89223a, 0xbdcbb03f, 0x20e37b81, 0xb1a9d8df,
+    0x6c8777b8, 0x8d660493, 0xf08d8f89, 0x97d503a1, 0x77b1e8c2, 0xe80bc576, 0x77f152bb, 0xc5be7cdb,
+    0x24e440bc, 0x6e8dc4eb, 0xa6602a0c, 0x069ddcf2, 0x98002a35, 0xa6409d9b, 0x35db9f11, 0x56b7144a,
+    0xe99161ce, 0x6b379496, 0x7c6a1ee6, 0x9aadbadf, 0x38badbb2, 0x74e85425, 0x7332a4d0, 0x950a1d06,
+    0x8f7fd2d9, 0x4c4b1860, 0xd073ae26, 0x8e74afca, 0x1a640546, 0x22cc8dba, 0xd52d8417, 0x41a1fe9e,
+    0xe50fde33, 0x01f43747, 0x06bb5f59, 0xbdfdc9df, 0xed626454, 0xafc4043e, 0x889a9a38, 0x03265dd3,
+    0x58e21eb9, 0xb7e87599, 0x3226b686, 0x1182a507, 0x0d1d3d30, 0xe629f65c, 0xfa9b009f, 0xab0947d9,
+    0x4187788b, 0x53b2ed35, 0x5c7e1c69, 0x8d602907, 0x797137e1, 0x26029d07, 0x5713daee, 0x171fcdd0,
+    0x3af62137, 0xce75985f, 0xc90b582f, 0x22142139, 0x1b2e299f, 0x4ba4cd59, 0x84e9f21d, 0xbcb466e5,
+    0xe3580b1c, 0x2d4f9523, 0xff52d076, 0x49db20af, 0x44ca6020, 0xc6091365, 0x39df92c4, 0xa66c379b,
+    0xdd101161, 0x375fd9a4, 0x6005c883, 0xded17fd8, 0x8c648942, 0xcb5ab9b2, 0x06f5d2b7, 0x498f98eb,
+    0x5a5cf0c4, 0x4eb126fd, 0xc5a5a75e, 0x6c4f5341, 0x5f357528, 0x3ffe4619, 0x0c1e640b, 0x2af5c377,
+    0x3eee93d4, 0x965281ab, 0x65c8edcf, 0xaeced534, 0xec57c81c, 0x4ba0774a, 0x1794a684, 0x5ee4cec8,
+    0x8430cbbd, 0x2fd5110d, 0xde258ae7, 0x7538b68f, 0xb2bf7454, 0x4753d5ea, 0xf46fa0c9, 0x6e2af80e,
+    0x203d2006, 0xee9f2602, 0xd8fb3de2, 0xf773f3c3, 0x16f2adb5, 0xda567557, 0x6da907fe, 0x9e867b56,
+    0xe9607dc2, 0x08650e60, 0x75f02dfb, 0xc0bb25de, 0x0bd2c043, 0x043d51bc, 0x8c57ae61, 0x3c836653,
+    0x64414c43, 0xa43fff8c, 0x34406011, 0xd2a8c606, 0xee7e26f6, 0x5159bf1a, 0x4cc6efdb, 0x48967666,
+    0x4e0c1aed, 0x6b1e49a3, 0x915d82ab, 0xd5c8a7e5, 0x7cbc33aa, 0x3d91b086, 0xe28d0c26, 0x04440d8a,
+    0x1a498148, 0xa1dd8915, 0x7a00fb2b, 0x4742e5a2, 0xe4b84b4d, 0x2fc8ee51, 0x8726fa8e, 0xb87da229,
+    0x88ef053e, 0x3f961ccd, 0xb5018b2c, 0xe96b4b8b, 0xa5f2b0ae, 0xbe6ad918, 0xda66d4f8, 0xcca37be0,
+    0xccbf511d, 0x89ef708e, 0xcbfbf288, 0xf5128c9b, 0xabb0400b, 0x001150eb, 0x2541c314, 0xb664ed0c,
+    0x00000000 }, /* 10**00000000000060971651373359223269171820894397779409152307473925217790217909367\
+                         68304177382354726797472857545882756171536974846497310342671827498609932238848 */
+  { 0x00000000,
+    0x40000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac,
+    0x8082e785, 0x9d06650f, 0xde9dd51f, 0x3a3e24be, 0xab63ad0b, 0xd61435ee, 0x480565ca, 0x54cff161,
+    0x00000000,
+    0xdf2b3f86, 0x858a9df9, 0x34926c26, 0x8f6743da, 0x1ef01fbc, 0x2b28095f, 0x5d903cca, 0x64a115e6,
+    0xfee4094f, 0x07b8b204, 0x82541edd, 0x5d1537b9, 0xc06829de, 0x6fe4172f, 0x6bed59cc, 0x8e0c68bd,
+    0x1656bd89, 0x34020dbf, 0x66ffa1a9, 0x8a912c5c, 0xcbc046bf, 0x97a1d6ab, 0x48ea9b05, 0xbf68acb9,
+    0x02dc61b0, 0xd80edc19, 0x782125d0, 0xbf3c68fa, 0x52ad96ca, 0x80dd2a0a, 0x867c8d7f, 0x8a39ecd6,
+    0x2d2e710a, 0xb1005c79, 0x4d19659f, 0x410aff1c, 0xd107d618, 0xce8f0d22, 0xa6bdfe0a, 0x377521cf,
+    0x19316e78, 0xe82c586f, 0x41ed676a, 0x88e50b01, 0x3e0913a2, 0x49708511, 0xf1f90915, 0x15572dd1,
+    0xca6854d7, 0x3c224261, 0x22f0e90d, 0xc36839d4, 0xf9675a59, 0x32f5b70b, 0xb8362f8a, 0x06dda14c,
+    0x25250a57, 0xbe4fa77d, 0x0a3293d1, 0x7528d461, 0xe2100685, 0xc62fa5e8, 0x47e2c37d, 0x9bc9f2e2,
+    0xb234e1fa, 0x760d547e, 0xd8c24d1a, 0xbf5a637b, 0x4b0664d8, 0x1a02c237, 0x48c654eb, 0x85b035ec,
+    0x8d04bfd2, 0x1f7fbfb8, 0x4fa5c877, 0x64c89346, 0x6463b2d6, 0x678d2e8f, 0x9eac7b94, 0x1086469f,
+    0x93430687, 0xc541c698, 0x08942da7, 0xa84e5626, 0xff9a89d7, 0x59f7e017, 0x89bb23c3, 0x72a2debe,
+    0x5b6d6c4b, 0x11d3c34b, 0x5b9a886f, 0x237f9d97, 0xc3f9cf42, 0xa3de7111, 0x98268cc9, 0x7c27c5e6,
+    0x2efc8894, 0x6b9f3a61, 0x0d2b808c, 0xa19f6b2e, 0x5079c0e0, 0x54bfbabf, 0xe025d5f1, 0x291982b0,
+    0xa5531704, 0x125e511a, 0x1b38a4bf, 0x899e2211, 0x758837c1, 0x3f987034, 0xfacd2c2d, 0x022038ac,
+    0x6a8a3b53, 0x51a46158, 0x49a70c35, 0x677ff278, 0xebe36873, 0x2c02dff8, 0x61967d17, 0xb16e5eb8,
+    0x05241f81, 0x9a1d1ff3, 0x102efeba, 0x34884e03, 0x6eb18c49, 0xba7f5a68, 0x87c729b9, 0x947c26f0,
+    0xebc50c08, 0xa3343f87, 0x01cd50b3, 0x5b904948, 0xa6ab72cb, 0x513da62d, 0xc8cc9c47, 0x708a4ea0,
+    0xa8cbce55, 0xd68dae9a, 0x7b69738b, 0x15bdb8af, 0x33e76c24, 0x6ae7b068, 0x8668a169, 0x2a516d08,
+    0x85bc86f5, 0xa9d236dd, 0x9e5ffa52, 0x8ed6be7d, 0x76e7c385, 0x1ec18191, 0xde8c0d95, 0xc7fdca98,
+    0x02d5f2cc, 0xcc9c732d, 0xb41f6b11, 0xd2866156, 0x6cec5e1f, 0x80ecc7ee, 0xf067c300, 0xe3515142,
+    0x3d76b137, 0x6573c976, 0xf0d0844f, 0x60caf21b, 0xa8ccedf2, 0x2f0dc169, 0x1370eef5, 0xdfb01f47,
+    0x44035319, 0x40d8bb36, 0x406b562f, 0xa6d1c304, 0x569e8757, 0xeca5c809, 0x2861ab51, 0x0e0d3ff1,
+    0x5f424e2b, 0xb4492d61, 0xeeeb3621, 0x7c82b739, 0x9117b64d, 0x3489c6c4, 0x836a75b7, 0x3cbc8537,
+    0xc5d1d8eb, 0x79c7caf2, 0x27f3205e, 0x28fd7cef, 0x4ac60d2e, 0xbcd308c2, 0xf6409a4d, 0x42f5e4a5,
+    0x4efdce51, 0xd2dd1d2b, 0x6a448892, 0x93b25b2d, 0xafa0cffe, 0x971eb408, 0xf8cc9009, 0x1151cfc2,
+    0x2fe17934, 0x6b2201ee, 0x8b7a0cd1, 0xa78fe1bf, 0xd8dababc, 0x20200279, 0xb505e937, 0xb9e426de,
+    0x676765ec, 0xc458bad4, 0x6926044e, 0x54b22735, 0x079a4b2b, 0x57b0a901, 0xfea98c16, 0xb905327d,
+    0x347c4eec, 0x6185e6ca, 0xee76ea6a, 0x2f829520, 0xdaefd009, 0x51005f1a, 0xbfd6e89c, 0xab24c2ef,
+    0x3d0f1726, 0x5df3fdfb, 0x6d82e1a5, 0xc7b4c526, 0xea8f9379, 0x13bb3c94, 0xcbf85b49, 0x8e077e3d,
+    0x8275acc3, 0x71ef4ae2, 0xa65c88e8, 0x5a94a72d, 0x55b3e3a9, 0xefaa3f4c, 0x8161e283, 0x13a3289b,
+    0x63a3a78c, 0xb88fba01, 0x838c731a, 0x9064dcce, 0x16914faf, 0x1b2e533f, 0x38a3448f, 0xf4686746,
+    0xdf9c0d37, 0x0cf68f9e, 0x02ed7d40, 0x119d1ac2, 0xd02ed066, 0xd4097553, 0xd0956fe2, 0x5aa55d5c,
+    0xfcd33a38, 0xed256478, 0x5dbcca3d, 0x1c6a2aac, 0xdf61e147, 0x7bdaf247, 0xeda15e72, 0x2edc1941,
+    0x57cc7ca1, 0x8204e156, 0x4f284472, 0xccabaabb, 0x067b1314, 0x765bd3b8, 0x1411f60a, 0xa998b297,
+    0x129d77c9, 0x54096919, 0xd2704004, 0xa06d2a8b, 0x84c6dd8a, 0x5f2f6244, 0x549069cf, 0x3c8a5a0f,
+    0xcb968d95, 0xca40b4dc, 0xf4f665a4, 0xc45afde5, 0xa1935d74, 0x6522532f, 0xb8f9afea, 0xca41923f,
+    0x06743569, 0xd2d39ac8, 0x66ed6c8f, 0x46ed2ca3, 0x18cd61b6, 0xf75f5387, 0x0a582506, 0xcce2b0aa,
+    0x957201e7, 0xa12c2d37, 0xc6b46cb5, 0x2cb6c401, 0xaac2065d, 0x6f9a5398, 0xbbd719f3, 0xaabbab75,
+    0xaed1e366, 0x4b5c009b, 0x92746656, 0x57e49306, 0xfec84e04, 0x7e7f8dc7, 0xeb331fce, 0xdd6f3464,
+    0x9a15b605, 0xd7495e2c, 0xe55e1f25, 0x94d84cfe, 0x7c889f39, 0x7f587b95, 0x25393b03, 0x7a737af8,
+    0x3e0d33d6, 0xbb5f2104, 0x4c762f44, 0x9ef33d4b, 0x760ceb03, 0x9b32fbea, 0x9f8292e9, 0x62a22477,
+    0xa50bae19, 0xe9f8c212, 0x4352f2f5, 0xc8fe19a5, 0x11c3c50e, 0xce9836ed, 0x70df60b5, 0x3782e93f,
+    0x5876814c, 0xc9935046, 0xcef0da35, 0xeb947433, 0xa3a4620a, 0x905dadba, 0xe3920dc1, 0x0ed970b1,
+    0xfc7db265, 0xc30794de, 0x444a53d3, 0x15c94088, 0x17c5ca28, 0xbb380fab, 0x43d98e5c, 0x88d7e543,
+    0x75e62032, 0x741088d5, 0x045260b6, 0x95dc6d20, 0x985aa97a, 0x1d33dedf, 0x2dc6dbbf, 0x3b4295a5,
+    0x1e165c59, 0x7108a232, 0x056f6d07, 0xbabd0c0c, 0x2ee9ec62, 0xdb7ff931, 0xb2d65aab, 0x814eb3f2,
+    0x3c0345b1, 0x720ce1b6, 0xeb0657ba, 0xe21e4919, 0xa37aa8d6, 0x4c0bba3a, 0x09a20150, 0x8f34f785,
+    0xea524298, 0x80c23052, 0x197ee03d, 0x0f52fcd8, 0x319ead95, 0x1890f31a, 0x44612876, 0xb5961185,
+    0x7e25e22a, 0x85aecb6b, 0x4853cf96, 0xcf0104d9, 0x534fd2f5, 0x78fbf5af, 0x1e4c38c0, 0x3544be01,
+    0x015284cb, 0x6913f341, 0xaa3db586, 0x68a05aef, 0xb2bf8834, 0xbd21bad6, 0x06188ee5, 0x1e420152,
+    0xac0ffc4e, 0xc06fa1f4, 0x85cd9222, 0x5b9bd37f, 0x28785e4a, 0x0a822a20, 0x5d49aa31, 0xcd55919e,
+    0x3546d3d1, 0x93bdc09c, 0x35a3b56f, 0xc8b3cace, 0x15b1cd22, 0x63c03501, 0x96701809, 0xa0316e6e,
+    0x5cb76ada, 0x102a1bae, 0x2b9dddb9, 0x58ac1df8, 0x3c119944, 0x77532d51, 0xb45a2ce6, 0x2d8386b8,
+    0x7aea8616, 0xf613e730, 0xbc687eb1, 0x609ac3c9, 0xef0addb6, 0xe3d9c499, 0x4c741963, 0x4f9d6363,
+    0x66306507, 0xe418d0ed, 0x8aa9fb11, 0xa7b68f67, 0xfcb3c445, 0xd0a55bbf, 0x33a8e7da, 0x14b9092d,
+    0xd3a2fd17, 0x010e1525, 0xb6f2f9e5, 0x531d41c2, 0xc46d3d82, 0x86ac2f23, 0xe47e5655, 0x337b33ca,
+    0x465f13c4, 0x8f636b40, 0x7f042028, 0xb8826267, 0x0a3547f6, 0x8d272f09, 0xc4c954ed, 0x8f2167b8,
+    0x9c25a8ca, 0x1ad8cbff, 0x9529c7c0, 0x3b88d8a2, 0x3fe7735c, 0x023a429d, 0xf4c9c545, 0xa0187f08,
+    0xa16654d5, 0xd80b5e31, 0x4eabb54c, 0x2c83b271, 0x007acd55, 0x53d35064, 0x946d978b, 0x5fdd58cf,
+    0x22baf1e1, 0x9925df6f, 0xd81846c4, 0x2546c3fe, 0x7beba6af, 0x8adf5236, 0x816f497f, 0x7306fde9,
+    0x340d2512, 0x322a5b26, 0x84adac09, 0xb784181f, 0x2dff0846, 0xe81a4bc0, 0x25b96fbd, 0x39b7b292,
+    0xfe34415e, 0x304eb91b, 0x53d57435, 0x5a00f696, 0x061a51fd, 0xcb3c1316, 0x32ba23cf, 0xece0355a,
+    0x487719fd, 0x32823fdc, 0xb947ee94, 0x3bd8e5a7, 0xdc825458, 0x45f92fa2, 0x53bc004a, 0x47184010,
+    0x85dffc93, 0x0f61f7ff, 0x49520122, 0xda9d2fe0, 0xba14c010, 0xe6e609f9, 0x735ee43b, 0xaa1dcc01,
+    0x46bfa7ae, 0x1feb3ddf, 0x46f9bf4f, 0xc28c4b63, 0x031b229e, 0x8b2663e8, 0x25a71185, 0x96046860,
+    0x19e70e4f, 0x3a28f222, 0x2104b7a0, 0x99c3090d, 0xefcb3368, 0xc275edca, 0xea39a676, 0x689e26b7,
+    0x7c82cf9a, 0xbd6a3495, 0x2fa784eb, 0x8ed8c90f, 0xd6912800, 0x911ebb3a, 0x7d745695, 0x92388b14,
+    0x1a81be6d, 0xbbba3c8b, 0xd6b9c35a, 0x7681e102, 0x4d848667, 0x08f4a918, 0x6cf0825d, 0xbb95ec16,
+    0xfed635e9, 0x614f017c, 0x8249fd39, 0xb00dbe79, 0x76825c28, 0x6d79f54d, 0xb9a0a4cc, 0x4add8cb5,
+    0x39391370, 0x71ba51a8, 0x9805de06, 0x01f6cedf, 0xf95c24c9, 0x34a68cfe, 0x1981df6b, 0xbe88ee3e,
+    0x6216ff2e, 0x95322a73, 0x65f53c9f, 0x7b5c0c72, 0x28b77606, 0x191740b5, 0x5180b4a7, 0x53d2bc10,
+    0xf32ee3ad, 0x47658483, 0x97e621cf, 0xc5944525, 0x960e29ad, 0xe8e7b87d, 0xe7b5fbc4, 0xd1032672,
+    0x3a95904e, 0x5e31f460, 0x8ee855c2, 0xaf15f491, 0x9ad0ed8c, 0xdcf090b3, 0xdd418cf7, 0x14d2d370,
+    0x9ccb09c4, 0xea03e9b6, 0x5a0f6e44, 0x5c167bf1, 0x45b4baa7, 0xf0195475, 0x2cec0063, 0x76cdda3a,
+    0xbdaf66ff, 0x0f12670c, 0x31cecee0, 0xb6493258, 0x797234e5, 0x9832fc1c, 0xf3a3fe5c, 0xeb96abe6,
+    0xb68f21ea, 0xf077f5ae, 0xb9d698a9, 0x7c92e6f9, 0xed3a3f58, 0xb46b4209, 0x66eeadaa, 0xf5681af7,
+    0xa0ba2da1, 0x0b9020c0, 0x4a54c454, 0xa7e4fc50, 0x1ea2290c, 0x53e90496, 0x9e787dbe, 0xd531d059,
+    0xbd831de9, 0x3c041cdf, 0xa3a97aa4, 0x1998c49d, 0x881fce65, 0x41b0bd75, 0x14a30c03, 0x6bff129f,
+    0x0722b1d9, 0xae99c628, 0x010db50a, 0xeaf0f8b7, 0xd6b89bda, 0x2f5f9fb4, 0x0c3dd8fb, 0x677365b7,
+    0xfa22b690, 0xab80231a, 0x43ba3320, 0xa96af9b7, 0x52f8a20c, 0xf0608c69, 0xcbc0d75b, 0xb7ae96a3,
+    0x691dde6f, 0x06a5aac2, 0xe959fc59, 0x38c0ce7a, 0x7a31b7e3, 0xd1a621ff, 0x7d7e730a, 0x5351cafb,
+    0x5c940c84, 0x8597a226, 0x9627cb8d, 0x35f416a1, 0xdce22dae, 0x47768a10, 0x7fa6fe67, 0xd24345b1,
+    0x53b3e32e, 0x76eeae08, 0x4a70af2f, 0x38d81548, 0xb0e70c53, 0xbfb4b848, 0x0731e018, 0xaec0d992,
+    0x551340db, 0x3655df08, 0xa59877b6, 0x4775beaa, 0xf3196043, 0x5d86f465, 0x71a65a2a, 0x2c64a807,
+    0xe8b35cf1, 0x0874b01d, 0x5ee0de5d, 0x815b575c, 0x5939c701, 0x3b7c350a, 0xc75be7f4, 0x069d8e59,
+    0x8551c649, 0xb662b6cf, 0xec62330f, 0x30ecbbcb, 0x3389f44e, 0x0b524e55, 0x45c570b0, 0x3105811e,
+    0x36f448f4, 0x14b1b82b, 0x525980a1, 0xa9d2bf15, 0xec558335, 0xf7f2a6ce, 0xc3f03a85, 0x1bc04ae0,
+    0xe916ba53, 0xecff68b0, 0x4f73220f, 0x209b8ac4, 0x4dfb4266, 0xd4abf729, 0xb451ea46, 0x64355761,
+    0xf0caad8c, 0xc8828800, 0x86954715, 0x073c6890, 0xad493927, 0x2b27b51e, 0x493052b7, 0x79804153,
+    0x9b689cdf, 0x0c669c9d, 0x10c30796, 0x510ed308, 0x8dec0c7d, 0xf1b308c1, 0x09d11009, 0x346ba94d,
+    0xd6f82f2b, 0x94431ac3, 0xa34c5b74, 0x28105528, 0x1285e32a, 0xe06a9170, 0xa636325a, 0xbe7646e5,
+    0xe0c0843e, 0x048364e3, 0x79fff0ae, 0x6567d4e9, 0xabe19623, 0x8a47da07, 0xb8b4bcca, 0xbd1b887a,
+    0xbb38b967, 0x1ebd2660, 0xd586c1d5, 0xacc3f70c, 0xfa86717a, 0x2433545d, 0xb709f975, 0x5199a61b,
+    0x447b6eae, 0xcf55ca63, 0x31e86784, 0xa36293e8, 0x9ac4a051, 0x0e4ba668, 0xeb894821, 0x23118119,
+    0x95180d71, 0x33a4732f, 0xeffe0755, 0x0ec9fe87, 0x7ab3555f, 0xf0a6ab4d, 0x7ec738b5, 0xb8a45765,
+    0x992ee446, 0x1888ab50, 0xbf5064e5, 0x68328af6, 0x24e24519, 0x9308845e, 0xe5b0eb7e, 0xb2abfb7f,
+    0x909d1cd2, 0xb9f43617, 0xc88902d0, 0x37eb6262, 0x3982c216, 0xa495d682, 0xc36e634e, 0x1ed6482f,
+    0xb4e96eb7, 0xc42e9536, 0x368ce96c, 0xfebfa6db, 0x8cd89c6c, 0x3d5778e7, 0xddfe1639, 0xef46f073,
+    0x4f6a2e5a, 0x5def889d, 0x2de8c67e, 0x38816a1f, 0x9dbc0a6d, 0x80465b1c, 0x99b48795, 0x20ba9c8b,
+    0x4c2db112, 0x8e0ac10e, 0x8147c71e, 0x7990a296, 0xbfe9b0cb, 0xe3309fad, 0xd9360e7c, 0xb4b2d062,
+    0xa82d5440, 0x5132ac71, 0xb9938ca1, 0x2561c815, 0x4d0238fd, 0x9d87b23b, 0xc7bce2cd, 0x6cc3143f,
+    0x5da8a067, 0x32b728db, 0xbba94dc9, 0xb92b9780, 0xfabf5421, 0x8310d30b, 0xa7fcd0a1, 0x2d964ba5,
+    0x93888035, 0xdfb8eb76, 0xf9a8c5ac, 0xa834aabb, 0x64773126, 0xc593ce64, 0x7fa1020e, 0x69eb3d62,
+    0xe3ba241f, 0x3d89b03f, 0x42ed180f, 0x4b9a17a9, 0xe42b379e, 0x192f6c79, 0x17c3fbe3, 0x70b166aa,
+    0x36937ee8, 0xcb9a257e, 0xfd5cbbd2, 0xbfddc027, 0x441fbc58, 0xa6f5f455, 0xc0827786, 0x7060e26f,
+    0xb936975f, 0xa2358fef, 0x099b950f, 0x7f0e3798, 0x7b682a69, 0x8af3d60e, 0xdcfbeffc, 0xf273ad62,
+    0x4456af50, 0x63503614, 0x7d6c0af0, 0x259ba77e, 0xcd96655e, 0xd2694223, 0xe8723b1b, 0x5a672d3e,
+    0x71af028e, 0x93e38806, 0x5291c9ef, 0x5fcd1090, 0x8decd2be, 0xa888621d, 0x9ded1e81, 0xdab50854,
+    0xcb58a0eb, 0x90bd4415, 0xdbe2436c, 0x4538a480, 0x3cb0e431, 0xdef09143, 0x8d1ae001, 0x138e062e,
+    0xebc56e94, 0x7c5d52ce, 0xe4733170, 0x3c82d8b7, 0x7d566959, 0xd290edb1, 0x0437fcc1, 0x3a91ee36,
+    0x9613ad50, 0x52cee47f, 0xdafb3b0e, 0x0e1a2d54, 0x42300d07, 0x1d1d974a, 0x7453571d, 0x30496257,
+    0xd47e0437, 0xa346225c, 0xfc8d1415, 0xf42a0c4b, 0xef1771fa, 0xa5931c6c, 0x35e20048, 0x05386699,
+    0x21fb95f6, 0x1d07f33f, 0xf798044b, 0x7b4381f2, 0x79947735, 0xcc5c3e15, 0xda1665b0, 0xe7e288f1,
+    0xd6ddc566, 0xfc017c2a, 0xeb224064, 0x4c2fee24, 0xac10a9ec, 0xf9602f44, 0x67ddd90c, 0x47b69a20,
+    0xc9146fa1, 0xfc16de48, 0xcb3357ab, 0x940d9fc6, 0x9100970c, 0x0ba4cbae, 0xf2dd9d0e, 0xe440a432,
+    0x55df2a76, 0x9ad28f9b, 0x55780ff9, 0x5479ffba, 0xed89326a, 0x894f537e, 0xdecd90ab, 0xb5534839,
+    0xa2a74f3f, 0xd2cd8082, 0xa9702178, 0x2cfd5a54, 0xf0d66d8f, 0x17e3b315, 0xb8817155, 0x8cd6b1bc,
+    0xb09ed673, 0x3313d4a5, 0x15fce53e, 0x627aabf7, 0x604cd3af, 0xa0f8ca11, 0xd47a0661, 0xd5b7d825,
+    0x8cbf25ec, 0xd96127d9, 0xc265f5ca, 0x070740d3, 0x6d6598b5, 0xc0ae8ab5, 0xae376318, 0xd97a3886,
+    0xffa952af, 0x9db2856b, 0xa5763902, 0xf78d3841, 0x513a1d03, 0xcd0f15f3, 0xc15a4c34, 0x60a5248e,
+    0xad9d6e1c, 0xaa1eafbe, 0x0dc7bf94, 0x52b746b8, 0x7fd4a742, 0x15120c07, 0x0b6d177b, 0x08af9360,
+    0x2211d774, 0x420ce655, 0xbcf56a2e, 0x0c73c494, 0x859adfb0, 0x35f24bd6, 0x4180d2d3, 0x97673ac4,
+    0xaa332a34, 0x4d96da90, 0x16c65cb2, 0xfbf3c5c4, 0x83a5fc1d, 0x9cca1197, 0x520e8b06, 0xd0123289,
+    0x664aab1b, 0xb81c3625, 0x675abdeb, 0x92cc0607, 0x90702f58, 0x4b1a3429, 0x2e4ed857, 0x27cf83c9,
+    0xfe9bc2b8, 0x4b9d368a, 0xd2132533, 0x9efc96bd, 0x1f9f0741, 0x8212c2dd, 0x56db6f92, 0x1b5515fb,
+    0x4159e55e, 0x3b083c03, 0x370a1523, 0x7ddb8200, 0x8259a7db, 0x3d4cb9f0, 0xb12023c8, 0xbecb4ffd,
+    0x00000000 }, /* 10**00000000000030485825686679611634585910447198889704576153736962608895108954683\
+                         84152088691177363398736428772941378085768487423248655171335913749304966119424 */
+  { 0x00000000,
+    0x40000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56,
+    0x404173c2, 0xce833287, 0xef4eea8f, 0x9d1f125f, 0x55b1d685, 0xeb0a1af7, 0x2402b2e5, 0x2a67f8b0,
+    0x00000000,
+    0xa903808a, 0x99bc72f7, 0xef588dc9, 0x6b6e57cb, 0xe85400bf, 0xf5484b57, 0x141385c9, 0x8fe8b63f,
+    0xb6e3a970, 0x6faa75f9, 0x6fa5d1de, 0x9f707cb6, 0x58afe54c, 0xcc3546ee, 0x99d8137a, 0xc9457f2f,
+    0xa43ef06b, 0x2f0ddc01, 0xe516c2a6, 0x261855d7, 0x4480df1d, 0x95e5ffc5, 0x4dcfbd78, 0xe113b0cb,
+    0xad15a3db, 0xcd9a54eb, 0x828fcb09, 0xc0f09e89, 0xbafbcf2f, 0x46f7dd23, 0x31b7a320, 0x9fcc5f66,
+    0xe36b0ef2, 0x6d16ab5c, 0x04e85ca4, 0xfa93b0e9, 0x0306ec3f, 0x9e72067a, 0x6626a927, 0xb756dbdb,
+    0xa90804f6, 0x4aee10bb, 0x59712189, 0xe2efef70, 0xaed3acf5, 0x93d77f9a, 0xaa2ebafa, 0xfa6e3426,
+    0xbaa9d00c, 0x66e12eba, 0x0b248adf, 0x729d5d30, 0x88e8227b, 0xaa5096ff, 0x4213042e, 0x2771cd49,
+    0x42702d54, 0xe7e224a7, 0xf4971043, 0x315fa4bd, 0x7a37ffd6, 0x5ff2494d, 0x7b05c091, 0x5d6072c7,
+    0xd0d67c47, 0x17003670, 0xc881c822, 0x388072c3, 0xfa07afc7, 0xf0c7d8d1, 0xd16d8faa, 0xdb0ca3d7,
+    0xde0335a6, 0xa7653e10, 0x0a1ec0c7, 0xd771d3f6, 0x96ca9ff2, 0x5744fcf9, 0x444f6940, 0x6f6b6fdd,
+    0x48e7c63f, 0x2114f692, 0xe9001937, 0x4a8d4f4b, 0xac71df26, 0x61d52904, 0x21b135ae, 0x27e82ebf,
+    0x93c15760, 0x1558430a, 0x43ed440f, 0xd33eba68, 0xaf466e1b, 0x89f2196e, 0xcc530550, 0x9a761732,
+    0x7d4a8e47, 0xed6d0f67, 0x266d6366, 0xcf1e81ee, 0x69e4d5a4, 0x792a004e, 0x46c7457a, 0xf211fc24,
+    0xc02724a6, 0xdbcf387c, 0x4dfeff01, 0x1700d3b5, 0xe9f3ca14, 0x44b24138, 0x0db78b97, 0x015feb31,
+    0xf17a7749, 0xc5c87ef5, 0x2829f4f8, 0x9859cdf5, 0xfc361695, 0x37cc2355, 0xc4e2611d, 0x4e6b75f0,
+    0x52cc0d5e, 0xdad37a46, 0x9e144b51, 0xb4e919b0, 0x10a3f5b9, 0x499673db, 0xe7b24012, 0xb49c3f5f,
+    0x90f392d1, 0x647d86fc, 0x2bfa7534, 0xaa1bfb61, 0x64dc1b00, 0x3398e664, 0xbe99b97b, 0x7ba4bccd,
+    0x168c2d3e, 0xc679df92, 0xc9f85ead, 0xa49e68ba, 0xf0c0a9c6, 0x295a21cc, 0x84235486, 0x14d332a2,
+    0xb05b4f0b, 0x0416eb65, 0x3b15f09c, 0xc01ff60d, 0xb451050a, 0xba82783a, 0x0dc402f3, 0x5141e630,
+    0x0863eb3f, 0x973280da, 0x75664848, 0xe93670dc, 0x63fd8985, 0x846849eb, 0xd0707e34, 0x1a78c3e0,
+    0x47e73ae8, 0xacfbee87, 0x2ad609ea, 0x10db21a9, 0x66520469, 0xf158f4a9, 0x957295f0, 0xbd5e53cf,
+    0xd70749fb, 0xdb167216, 0xe83fee94, 0x34bbdb05, 0xa5519dfe, 0x3288aebd, 0x88da5cbe, 0xf0805d2e,
+    0x56398310, 0xf18b1cc1, 0x06db7c95, 0x55055642, 0x27f4fe86, 0xa23e03ee, 0x5a062642, 0x193bdeb0,
+    0xd0203ec0, 0x6da88115, 0xa91f2084, 0x73611fa3, 0x6fc04446, 0xebaecb4d, 0x713ef98a, 0x5023d914,
+    0xbee57522, 0x2a343a7f, 0xbc576bf2, 0x03db1861, 0xcb346f25, 0xa9d6bd29, 0x7824101d, 0xd63beea4,
+    0x3f7fab30, 0x3725943c, 0x31159bf7, 0x0a8aaac6, 0x715bc2f0, 0xcdb90e3a, 0xa7861565, 0x86897c99,
+    0x1f98bda7, 0xe6f889d2, 0x310d1bde, 0xd9877c4f, 0x27ac6047, 0xef067f40, 0xed3354ae, 0xd1ba3294,
+    0x8290c7ba, 0x7f0eaf6b, 0x1391f863, 0x06f98c41, 0x4157a760, 0x5dbb6f22, 0xb8256f78, 0xb19578d5,
+    0xfdec8b41, 0x60da13cb, 0x600aad21, 0xec4a0e79, 0x31ca6639, 0xb83014c5, 0x139fca0d, 0xdb886b18,
+    0x3d242b85, 0xd2b3083f, 0x4dc298a8, 0x3a17f16d, 0x1cd7f24a, 0xc942361d, 0xe24caef4, 0xbb64ae86,
+    0x1c572896, 0xe9d254b2, 0x33147726, 0x4fb23fdf, 0xb7a179f9, 0x60a64e82, 0x905a300d, 0x9f5ebd9c,
+    0xf60b222f, 0xa42e04b2, 0x9987b6d6, 0xcb3281c6, 0x64d35dd7, 0xa5c972ec, 0xc2b30af6, 0x7e7ddf0d,
+    0x4d020152, 0x7eedd642, 0x135b387a, 0xdcdf025b, 0xb7f4f37c, 0xcf86e318, 0xfd5bbe98, 0x2cb98f70,
+    0xeae4bda9, 0xffbd5863, 0xd0a02166, 0x36a03f21, 0xd3df942b, 0xccf0f47a, 0x9f474567, 0x5ab9bec4,
+    0x95295799, 0x99ae2bad, 0x380d771e, 0xd67af6aa, 0x446b5523, 0x3934bbe4, 0xed4864b9, 0xe4ac3164,
+    0x4ea95d4a, 0xd59d6301, 0x8f7550b7, 0xde8df0c4, 0x5aac2058, 0x8d3d0bf5, 0x1f017d23, 0xd66ad000,
+    0xa2876194, 0x4be87589, 0xb2c53a94, 0xfe0b55d4, 0x579f7ec5, 0x2c46816a, 0xec31a6e3, 0x577f84f0,
+    0xe1d92373, 0x8c9d5bde, 0x5c29cb7e, 0xf2dc32ca, 0xc038a90f, 0x01854572, 0x27456a95, 0xb32b4785,
+    0x1e95d2f8, 0x1c46b2b0, 0x1e902307, 0xaea4f594, 0xd9a27eef, 0xaf87843e, 0x8d3aa67d, 0x4ecfe03e,
+    0x8a710fbb, 0xa9648ff5, 0x31580cf7, 0xf91ebe93, 0xd4e27d31, 0xe7ef9de8, 0xb33ca20b, 0x3b86a9c5,
+    0xccbf7543, 0xe0906a8e, 0x6355797e, 0xd9a31948, 0x31863c04, 0x761e3b6d, 0x359ebe04, 0xe319d97b,
+    0x21d384d5, 0xa5fce16b, 0xe28c17c2, 0x16c0a8fd, 0xb8524dfb, 0xf59d2b9b, 0xc04924c2, 0xf43d76c1,
+    0x98a7dc3e, 0x7f61fbdf, 0x7fa2f906, 0xecb9ff30, 0x13f613fa, 0xbea04690, 0xf7911d79, 0x46019b51,
+    0xce5559e0, 0x17289cd9, 0x4e0bc71b, 0x830e87cb, 0xb960707a, 0x1e4ba472, 0xc456707e, 0xbf961357,
+    0x6799779f, 0x793e9ff0, 0x08eabf12, 0x706fe501, 0x0b40fd9b, 0x0e6c4536, 0xa5c4225d, 0x92c5447d,
+    0xcd01484f, 0xcc674df5, 0x9e60d9f5, 0xc62b0300, 0x0948d013, 0xc91d1203, 0x0135b6a3, 0x3d88ce55,
+    0x811026b7, 0x4dc59b12, 0x2d396f9e, 0x782a8ba2, 0x0f8e90de, 0xacedca14, 0x7a1b741e, 0x88237f0f,
+    0x28bbe954, 0xabdbd69b, 0x1adde12d, 0xd2920f7c, 0x91cc1b4a, 0x8bb5d8d9, 0x7bbba28c, 0x6fb3e0a8,
+    0xe09ba1cb, 0x2249dc2a, 0x8d17e7fe, 0xe7321bd8, 0xbac76fbc, 0x0968af22, 0xefd4cd4e, 0x93886b4b,
+    0x056b90d8, 0xf34e4acb, 0xb9ea574f, 0x6f2d6986, 0x7624282a, 0x76f3a662, 0x7c7eaf34, 0xdf30249b,
+    0xb604a418, 0xa6d07853, 0xf977370b, 0x0ef7dc6f, 0x6f694f1b, 0xfc87da68, 0x3652f874, 0xb6fd8000,
+    0x936dbd8f, 0x74fbbc38, 0xf80e2250, 0x8fbc781d, 0x31c91e38, 0x2732effc, 0x94962f36, 0x0bb4336c,
+    0xa5ff86d0, 0xfcd54d04, 0x85b5197a, 0x78d18fbb, 0x2131e0ac, 0x390c8b61, 0x3eda6ca2, 0x4601df13,
+    0x624db068, 0x8c3717dd, 0x0e7bf894, 0xe8f0b340, 0xbb361320, 0x3e2b3232, 0x926c0b29, 0xd3b85dc5,
+    0x4c6ca448, 0x0e5e515a, 0xeab515e2, 0x8b2f9343, 0xae62c583, 0x864ad6b9, 0x926252ab, 0x3f58a050,
+    0x278e1858, 0xf920561f, 0xbb4b881f, 0x4671d66f, 0x71189991, 0xd74faf7f, 0xce08ce4e, 0x703bf709,
+    0x088195e0, 0xcb5aa2c0, 0x917c5c54, 0x60d769d4, 0x40f037bb, 0xf74e2b8a, 0xe72ef34e, 0x890d114a,
+    0xeafcef18, 0x00c6a3fb, 0x0425596d, 0x0400cc98, 0x100cefe2, 0xa5222a86, 0x383bdb73, 0x2dab8b68,
+    0x9a73aa3f, 0xd76a6c54, 0xd54c8ea0, 0x6a1e3fa2, 0x18120daa, 0xcd4fa80b, 0x0eba7601, 0xb18c95d1,
+    0x2ac24610, 0x72abfc54, 0xaad1d30a, 0x22d784a8, 0x2bbb444d, 0x259daa8a, 0x6eba4303, 0x3acaff28,
+    0x45f836eb, 0x795f02f9, 0x3d40c3af, 0xa53ee6ab, 0xcd28ce8f, 0xe32f9213, 0x268c6cdc, 0x7efdf454,
+    0x4dc53c2b, 0xc01e45d7, 0x728f1014, 0x034b3a29, 0xe3b06d72, 0x8322007c, 0x3485651c, 0xf2ee5bf8,
+    0x8b1d03bd, 0x94fc984a, 0xfdc96a7d, 0xf0e48582, 0x803293f6, 0xf474f92a, 0x23bbcf74, 0xf29f0368,
+    0x5be9cdd5, 0xd5fb30a0, 0x31bf041d, 0x3fe41151, 0x90ac8f7f, 0x8cd8ea9b, 0x8351c906, 0x19f423f1,
+    0x036dffcf, 0x21f77118, 0x904d080e, 0x784121fe, 0x86d16110, 0x3c3640a4, 0xb7c6fa19, 0x1cf44326,
+    0x43ea96ca, 0x2d35b180, 0xba856d12, 0x9c824fdd, 0x37d2a8a0, 0xede1bc55, 0x76ec8525, 0xcae99ae1,
+    0x26193ff5, 0x4f5a5ea4, 0x2f6f69a3, 0x2e6786fd, 0xc0462e7d, 0xf219bf3a, 0x3793b913, 0xdca47e11,
+    0xf3034b88, 0x7564f447, 0x97943cc2, 0x2b27f0d0, 0x7b8783d7, 0xa85db278, 0x57ead836, 0x6176137d,
+    0x5746ac53, 0x2dcea1d6, 0x999c3f49, 0x658f30e4, 0x69d9076b, 0x0976f316, 0x4506df72, 0xe9a84340,
+    0x2c7055b4, 0x8680b064, 0x052076ef, 0x97171103, 0x43e99a62, 0xd969a524, 0x69267140, 0x667208ff,
+    0xa8b3d87b, 0xf432141c, 0x7a46ea7a, 0x75426c37, 0x3a6b2e22, 0xb67f79c2, 0xa4c2392c, 0x2efbaaf1,
+    0xc81608fb, 0x5099c169, 0xeee82f32, 0x58ea3987, 0x8ca9734e, 0xa2afbe0d, 0x9ad26c55, 0x4dad7d93,
+    0x395908f1, 0xe3cff08f, 0x741f5f6f, 0x2904a8d7, 0x7494bac8, 0x410430c6, 0x2f49b6d2, 0xfd6a4d3d,
+    0x310379f3, 0xe4850e56, 0xe4625271, 0xf493b993, 0x1e392bc5, 0xdc7f9a8b, 0xa4134635, 0x0c0506ce,
+    0xe628e3e0, 0x4c0cc0f2, 0x657065fe, 0xc50e40e3, 0xa8fc9fbf, 0xf7b3b090, 0xc33767a1, 0x73c482aa,
+    0xf1eeb276, 0xb5db347c, 0x250109db, 0xca20e5fb, 0x0b3f4629, 0xd5aed646, 0xc0f1dbb1, 0xc03f7682,
+    0x82cc8578, 0x4b66c9fc, 0xc2760304, 0x53ae21a0, 0x0df930b3, 0x5343beee, 0x0a517c63, 0x3992b1e3,
+    0x57374452, 0x6dfcfc01, 0x0ea97825, 0x1c08a67e, 0x1c02e3c8, 0x1c12744d, 0x1dd0c803, 0xf2d74b7e,
+    0xc87e2b7d, 0x5270a142, 0x894d8a41, 0x5e4bb43c, 0xe1c42550, 0x868caa48, 0xec59b1cf, 0x5d6793af,
+    0xd79a930f, 0x044ffa24, 0x0a609960, 0xa19dbe04, 0x224c715e, 0x8343c831, 0xbe7bb5ab, 0x91aacc05,
+    0xad2aecfb, 0x96623988, 0x87230d6a, 0x2c237685, 0xfb2d591f, 0x236530a6, 0xb68c406d, 0xd815b2c0,
+    0xf1e655eb, 0x245a5c95, 0x9995743c, 0x59c85492, 0xde1171c5, 0x6d156f98, 0xe7b8630c, 0x3bce6fe6,
+    0x4c725342, 0xbd14e340, 0x03b736a1, 0xdb419d86, 0x55327010, 0x69ac1ef7, 0x66b9a748, 0xafc46d72,
+    0x1fbaddf8, 0xf2942683, 0xa78bcd30, 0x645c6314, 0x7fa50b30, 0xff49b695, 0x71bfe1b1, 0xda488bc5,
+    0xf44d1a8d, 0x2a638b40, 0x7726b1e8, 0x0428a74f, 0x2d499fed, 0xe838094a, 0x818dfc7b, 0xac8d55e0,
+    0x29d93aac, 0xf5e06f9e, 0xe2fc2bce, 0xee1f1b8a, 0xa6707178, 0xef9a3522, 0xe2386343, 0xbdf27035,
+    0xb21f330d, 0x3bab5b4d, 0x9bbb60d3, 0x5fc03a46, 0xef3cceec, 0x4cfa2a75, 0x9b189c95, 0x926ab83f,
+    0x12376d27, 0x4bf59227, 0x64c9fc49, 0x761b5e37, 0x520ef8ad, 0x012ae001, 0x4159a240, 0x4bf50838,
+    0xc065b954, 0xcc8243b6, 0x92ffddce, 0x0e49c510, 0x8246deb9, 0x19f5cb98, 0x74b9fd2b, 0xd15f8dd0,
+    0x7e8e1271, 0x3b012e00, 0x05b04076, 0x728b0cd9, 0x2942e70b, 0xab9a6c4a, 0x9c1b7f8c, 0x771938bb,
+    0x1f8fb8a8, 0x7ac0ac31, 0x6fc4353c, 0xdac28027, 0xec49f183, 0x4991c4a2, 0x040a0133, 0xd2ff0908,
+    0x7a5f474e, 0xd282f7d9, 0x0791de15, 0x25a93be6, 0x0592b3ec, 0xc82abb4c, 0x87f77489, 0xcb585c7e,
+    0xa7f3feb7, 0xf4d9210a, 0x7cbcad89, 0x55f18959, 0xd28191a2, 0xd3a17fbe, 0x1796e23f, 0x0ee5e9bf,
+    0xf244ea17, 0xb5bf0eac, 0x5003b105, 0xd164f352, 0xfa492cc5, 0xf52ee19c, 0xb2bb0aa6, 0x84caafb3,
+    0x2af042d4, 0x4582c392, 0xa3ff46b9, 0x1f2bed86, 0xf0396f81, 0x59dcfcb9, 0x4d216353, 0x40fc62c5,
+    0x1bf8dd77, 0xc5ae9b48, 0x84d31462, 0xf657b5a9, 0x989fd75c, 0xb04570f7, 0xb11f47d4, 0x2fbda865,
+    0x3ba43bfc, 0xfaf51af8, 0x5dec2060, 0xe63eb219, 0xcfb87f83, 0x885b9122, 0x8fb2625b, 0x97960757,
+    0x27c0b9d2, 0x73b0c468, 0xa40aafde, 0x5e628a51, 0xc3be3ed0, 0xe95e2f07, 0x89f91a02, 0x77bc481c,
+    0x452feffd, 0x1b5f7be3, 0xd5d78269, 0xcc53ccc5, 0x8a863c58, 0x3d1922a9, 0x013232eb, 0x336c03e0,
+    0x5fc50606, 0x2d12f422, 0x56251549, 0x22b82b28, 0xfbef6704, 0x62c78b8e, 0xfd169755, 0xf57aa4a9,
+    0xe0911dac, 0x7d8b9aa6, 0x6ec26823, 0x52003c07, 0x0b928ff6, 0xda8cbad0, 0x23369b9e, 0xe322c1a8,
+    0x0749d62f, 0xa9fa9e85, 0x7e3e5521, 0x41887278, 0x8499ca83, 0xb187abb8, 0xcb0278de, 0xf8706949,
+    0xb6295e3a, 0x1e0b0ca5, 0xe0a6024d, 0x95d89931, 0x20c8b2be, 0x81503d46, 0x275cb31f, 0x50230ca2,
+    0x49ab3743, 0x96f46716, 0x7f644be5, 0x460f5d18, 0x91bbe8b2, 0x7c832a8c, 0x0478676a, 0x71e6cbda,
+    0x6ea48517, 0x18015684, 0x3f602e9a, 0xbb15419a, 0xef4d4a50, 0xb81abe11, 0xe828e326, 0x39145758,
+    0x6e2ea5e1, 0x43304a0b, 0x92e286e3, 0x8367bc6a, 0x88c95acf, 0x155c1d4e, 0x7719243b, 0xd3584d9f,
+    0xfca295e9, 0xd4d3aace, 0x823e62f6, 0x4b1223fd, 0x7e3569b6, 0xba81767c, 0x31da9854, 0xb667a25a,
+    0x505f9bcf, 0x5b4c2a04, 0xf74a38a8, 0x7354740e, 0x3d6c89e5, 0xa5ffa4de, 0x14b3e7f4, 0xb6ac66be,
+    0x057c3cf7, 0x7d0f871e, 0xa92e2005, 0xffd0aa43, 0x868c3093, 0xf4a478f9, 0x5f69c18d, 0x21be9ae0,
+    0xcf42a3b0, 0xb3b7b2fd, 0x605106be, 0x22f407ab, 0x3c184e15, 0xae9547ed, 0x69a8233c, 0x1e7de56f,
+    0x81201c76, 0xbd873be8, 0x983ac1a9, 0x40eb1b0c, 0x9f8ef390, 0xf6695861, 0x653039b7, 0xc79a9ea7,
+    0x34b5617b, 0xd44b1fc1, 0x48b7f129, 0x720f82be, 0x98015aed, 0x6dd79e17, 0xf2d04e63, 0xb756f576,
+    0x9d558133, 0x3babb4e9, 0xcb9d62b5, 0x3b4b01db, 0x8a52eab9, 0xf1e5e482, 0xef43180a, 0xbff1722f,
+    0x0974168c, 0xcfb9389a, 0xcfba92ec, 0xc5165d3b, 0x6a47b86b, 0xf44d3edf, 0x4431d527, 0xb25aa8fc,
+    0x01f6f4e2, 0x0d6c47fe, 0xf3d91fb4, 0xd46c1b4b, 0x43751207, 0x5b6e41af, 0xe8a5f26c, 0xc7ebbf86,
+    0x969822d5, 0xba9baedb, 0x40ca321a, 0x3db7eb02, 0x3cff3315, 0x91a986ff, 0xa455ec34, 0x0eceda17,
+    0x83216da8, 0x89b53052, 0xa6c14dfc, 0xbdc2bbd4, 0x6afeb6d5, 0x4ddf4cd0, 0x857acec5, 0x7b7eb950,
+    0x590887ca, 0xab954143, 0x061dc2bb, 0xb9bba1f2, 0x41cedc64, 0xac23e1db, 0xb9a7ac19, 0x6f6220d8,
+    0xc91a53f9, 0x7a933b7e, 0x6727dffb, 0xf56fa1eb, 0x68f78d31, 0x38aa6369, 0x906d9927, 0x94dc1bdc,
+    0xba11a7d3, 0xcbe42c59, 0x400b95ef, 0x6d3f778e, 0x8f30edd8, 0x383a516f, 0x90f98547, 0x6e9a74b3,
+    0xd6c63aa3, 0xd0f0e8e1, 0xaf2e12e0, 0x2a708903, 0x7d64e1d6, 0x69758c59, 0x4d3bdf63, 0xba230a15,
+    0x7fd32566, 0xf1c9ae34, 0x7e9aa405, 0xa47ea0b7, 0x5be40a11, 0x73b00dad, 0x73bc340d, 0x77f6dfe3,
+    0xe543024c, 0x86c698fc, 0x67caa363, 0xf0d20f84, 0xaa7f171f, 0xd2b58919, 0x48f030da, 0xdc5c77db,
+    0x653696c4, 0x409c5688, 0xed8d1355, 0x46969794, 0xd0455a9a, 0xd1fd2ef7, 0x42447847, 0x5be21632,
+    0xf5f8d014, 0xe1a50a06, 0x8f01ae00, 0xbe47978b, 0xe1b53ef6, 0xc5f85690, 0xdfe0748b, 0x4a1031d6,
+    0x2f3fe4db, 0xe58835a0, 0x4743caad, 0xbac90d20, 0x3e9d4bf1, 0x18ab903f, 0x56057839, 0xd07c5000,
+    0x00000000 }, /* 10**00000000000015242912843339805817292955223599444852288076868481304447554477341\
+                         92076044345588681699368214386470689042884243711624327585667956874652483059712 */
+  { 0x00000000,
+    0x40000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab,
+    0x2020b9e1, 0x67419943, 0xf7a77547, 0xce8f892f, 0xaad8eb42, 0xf5850d7b, 0x92015972, 0x9533fc57,
+    0x00000000,
+    0xd00227b4, 0xe5629d5c, 0x5739f6ba, 0x92ad261e, 0x9499e185, 0x16cc6862, 0xf25e69db, 0x3f495478,
+    0xf9b1c74b, 0x5fc51878, 0x47ef25e1, 0xc5f48a9c, 0xf0888006, 0xbb708cc0, 0x7ec1cf91, 0xf828c822,
+    0x531299c5, 0x82aae736, 0xcb0fc100, 0xd4f7e683, 0x61802336, 0x6871bc58, 0xdc096517, 0x9e19ef5c,
+    0x554ae8dc, 0x9806e89a, 0xf09235f9, 0x4ea168af, 0x2826dcd3, 0x995bf269, 0x9e40ffd8, 0x6e0d8832,
+    0xa41e9dd6, 0x26281a02, 0xd36bcbcb, 0x68aa6147, 0xe7f4aa69, 0xe8b9bec9, 0xbf50a392, 0x82993e71,
+    0xe717f37a, 0xabc45745, 0x9483a84e, 0x60af2a26, 0x5b8dc04a, 0xbecb3864, 0xd183975b, 0xac11c240,
+    0xaf951df8, 0x4a7bd7ce, 0x74ce2948, 0x0bff1109, 0x41c9d6dc, 0x058fc610, 0xde212dbd, 0xe1b3d935,
+    0xa933e211, 0xbf8aa4b4, 0xe8a45978, 0xdf375daa, 0x3d4e0b48, 0xcb9a4257, 0x67ab7a1f, 0x7e7661cb,
+    0x87144412, 0x282528c5, 0x7cbc55e3, 0xef469a1a, 0x53d2bf6c, 0x2af2b210, 0x85d016e9, 0x017d6ec7,
+    0x6b742334, 0xe6a2b912, 0x8893ceae, 0x9d2746d5, 0x7a45beac, 0x55c4a16b, 0x966e7eb0, 0x9c67d60a,
+    0x1eb5462b, 0x5a9d31f9, 0x5fcd8ae2, 0xcf9445fe, 0xe78d7da5, 0x7721e995, 0xaaa61f57, 0x82c9faec,
+    0x32be42cf, 0x7b3878bd, 0xb10e0a8a, 0x90918b44, 0x4e07aa1d, 0x770e63af, 0x5c09d2d6, 0x25bca2b8,
+    0x1ca4657a, 0xc8cfd549, 0xab002949, 0xa9b77f40, 0xfb92087d, 0x0a698040, 0x7d593029, 0x7de2246f,
+    0xa398ba87, 0x7236f010, 0x35d59e14, 0x5053432b, 0xbe852ddf, 0x7345a6d7, 0x6241a519, 0x4b0c14ae,
+    0xd5e75570, 0xbf546229, 0x55fa7336, 0x89611ffa, 0xc4986a11, 0x0bf27bd1, 0x936eaf80, 0xe9658ab7,
+    0x6d977ce1, 0x75503ee3, 0x14ff887c, 0xe20df9fc, 0x0a6f9730, 0xc8961d86, 0x35be7039, 0x8cbdc239,
+    0xdfbd3f60, 0x135d684c, 0x2f15f8f3, 0x229e10a9, 0x29469e62, 0xc6830b79, 0x0549be55, 0xc27b3f9c,
+    0x4ea9dcec, 0x12b239d7, 0xf40f324b, 0xf81a11c8, 0xcaa4ad27, 0xe4b0b033, 0x235007a1, 0x3562f882,
+    0x1b6d5bf2, 0x87b141b5, 0xf25db0f6, 0x4548d0ad, 0xee7b04f4, 0x1720684f, 0x830b1db0, 0x14388411,
+    0x75b3c297, 0x7d00c472, 0x6fb6ecd7, 0x8b2aa16b, 0xc50f16cf, 0xad1118e5, 0x548417ff, 0x5e31423f,
+    0x8f237dba, 0xa903c8a2, 0xd17a6c04, 0x25789f45, 0xb75ee905, 0xba157942, 0x20ab38b1, 0xb2d348e3,
+    0xd8172452, 0x82493230, 0xec3be5c0, 0x3fe4960d, 0x5b815abc, 0x6b6da4c0, 0xc97c14d3, 0x3b498f24,
+    0xe8d50fe3, 0x15a2318c, 0xbc110154, 0x48a1e12b, 0x3d5ece72, 0x7dd869f2, 0xdac1a5fe, 0xa9da7021,
+    0xf6c92bea, 0xc11f9165, 0xd8b9c9ff, 0x9a9a1698, 0x75a9cace, 0x80178e0e, 0xb049d7d6, 0x7d92c47e,
+    0x8c6a2bb0, 0x4d7db809, 0xd9dffe0c, 0xfbbab0e1, 0x3c3d3efa, 0xc98dd6c0, 0x4013f1c1, 0x8f9380bb,
+    0xd01921d4, 0x7236ebd7, 0x3eee6bb6, 0x4430b5e5, 0x957d30e1, 0x946f69ad, 0x8819726f, 0x56d30ebd,
+    0x8e498e5f, 0x4a606730, 0xb79e64e3, 0x97c42c3b, 0xa8bba879, 0xe32d2555, 0x997df021, 0x730d9d17,
+    0xe7a02079, 0x8195156a, 0x4ed6d250, 0x7910c56a, 0x06d63b36, 0xcfbc98ad, 0x5d1d17e9, 0x72d5ab16,
+    0x91bfedb2, 0x795a7ec0, 0x545dfd61, 0xd97fc70e, 0x56470165, 0x6d079630, 0x218426fb, 0xdf484bc7,
+    0xd8ad7265, 0xe95bb107, 0xdb92da0d, 0xe678fb07, 0x2a1312d6, 0x26c30896, 0x5303d4a3, 0x8e44b1a7,
+    0x3f72e407, 0x69ae05e9, 0x2f572337, 0x31cbd69c, 0xecf2f725, 0xf0aa10f1, 0x62fe2ff3, 0xc282dab8,
+    0x0f803709, 0x7497fcb4, 0x43a5b92c, 0x35b30ba2, 0xe2353163, 0x3718b474, 0x8452e3d9, 0xa1bbf3cd,
+    0xe1886761, 0x37e62af8, 0xb14aabc5, 0x241eedca, 0x66a03067, 0xaec03b90, 0x3d17d000, 0xd0aadfb8,
+    0xc0117718, 0xd5b168aa, 0x741787cf, 0xe8adc0a5, 0x906a34c7, 0xba1fe4da, 0x9ae8f95a, 0xf002a614,
+    0x7f16f5be, 0xaed24aa4, 0x39b883b2, 0xa52f5d87, 0x1aacfbe1, 0x51a789f8, 0xd335c4e8, 0x72da872e,
+    0x55daee00, 0xf0982b25, 0xb8bb6a31, 0x10cf32d8, 0x7d25f6e2, 0xbebadb6e, 0x3a285c83, 0x40c9f02e,
+    0xc717b6a2, 0xb84d6608, 0xc0083b72, 0xcb8d2f3d, 0x732a238f, 0x0c219845, 0x77d70f96, 0x7e7d73d0,
+    0x77eaae75, 0x13729d55, 0xfe792b72, 0x6d2f3652, 0x4ddad6cb, 0xcd16a77d, 0x10cb10e1, 0xafd996c6,
+    0xf8db3ee5, 0xbb667881, 0xcacd9012, 0xbc17ee47, 0x7cd95bd1, 0x1197fbf6, 0x6b11d8b5, 0xd44b6416,
+    0x195404ea, 0x1ca0d1eb, 0xc12d7800, 0xf7b902e4, 0xae3d879c, 0xd854cf88, 0x7c7acb0f, 0xfbb754cd,
+    0x09f3b876, 0x5875af42, 0x0e0ef59d, 0xe2390062, 0x3d7df824, 0x4c38ac4f, 0x34406b88, 0xfaf4eb70,
+    0x668b5751, 0xbfad6767, 0x7024f6d3, 0xb8dfc664, 0x6907cadd, 0x3bddea88, 0xc48db549, 0x23542ebe,
+    0xe2d3e081, 0x6afb70d5, 0x27bd4895, 0x4da119d1, 0xb6b19c37, 0x3260c6d9, 0xaf3df48f, 0xcb13e8bf,
+    0x152aee9e, 0xadf5f4a4, 0xebc264b9, 0x5cfd2d33, 0xf50ce1ef, 0x7f5d19e0, 0xb007dada, 0xb2d2ea01,
+    0xded860bc, 0xdaf9760c, 0xf4e6269e, 0x54734821, 0x91f0c436, 0x4822f516, 0x9d415a04, 0x724e54f1,
+    0x4550e095, 0x4cf1a5ea, 0xa0f8b90d, 0x3e94ff41, 0x5c839954, 0xd83ca4bb, 0x17c92dcc, 0xaa4ce073,
+    0x6613d4ae, 0xdd420ed5, 0xe87061ae, 0x5732cac3, 0x24e485a5, 0x211c498a, 0x3f875426, 0xa89f2e07,
+    0x92752e05, 0xfdc85a31, 0x96ef20f1, 0x7287d7d6, 0x39a2a0c0, 0x093abc05, 0x6b6726da, 0x9a53f03e,
+    0xc1c5660a, 0xc0d810b5, 0xf61d32cd, 0x3a35383e, 0xd2ac7f53, 0x00823e02, 0x44211693, 0xe346a167,
+    0x87d6d5d5, 0xbf63a8f5, 0x0e76f308, 0x8cd10e5c, 0x018b7a1d, 0x705d3000, 0xc7c9f84f, 0x94e15e14,
+    0x65918515, 0x951d4c30, 0xec57b481, 0x31d9cd5a, 0x96af84ab, 0x6deabad6, 0x65b37f96, 0x695e454c,
+    0xdbf333fb, 0x634758a4, 0x03a892a1, 0x4a4a432f, 0x4b9aa5bd, 0xa3e2a17e, 0x39364ca7, 0xd178c800,
+    0xf6e8d259, 0x7548356c, 0xfe20e87b, 0xee4943b7, 0x111a1d6d, 0x648c4621, 0x4357045d, 0x5250fd13,
+    0x2b6fe73d, 0xfb68566d, 0xdf2eeead, 0x954c0466, 0x0e768dfd, 0x1b4f7d44, 0x6f54a489, 0x96a6048f,
+    0x00ab5be5, 0xbbbfef75, 0xb51b8d22, 0x88e11d61, 0xdf0539a3, 0x9986ec5f, 0x9a3ec7d1, 0xf9278c20,
+    0x794bb1bf, 0xe67f8144, 0x88057f55, 0x6567b307, 0xab2c1789, 0x362ed6a7, 0xe55a95ac, 0x93098724,
+    0x4cfc90ad, 0xa9ab1927, 0xf8459144, 0xe3117c9f, 0x8f84fe86, 0x7d79843f, 0xb6f2024b, 0xda2178fb,
+    0x09e85711, 0xde5861d3, 0x462f3f21, 0xf2c70164, 0xd2eed1c4, 0xa14e25e1, 0xb17ecac4, 0x24bcb5c8,
+    0xe4337c82, 0xca2c17a6, 0x061392eb, 0xd86604d7, 0x2870a937, 0x91e60020, 0x78c70469, 0x38f35764,
+    0x3bbeada1, 0x4845ac96, 0x5bee3ebe, 0x041d9cae, 0x727e5685, 0x88c65a7c, 0xb1955158, 0x986d5430,
+    0xb490b455, 0x30c03c53, 0x604adae2, 0x5394f8a2, 0x9a45382f, 0xcec31bb3, 0x753ab275, 0xd4e56ee6,
+    0x21c3cb8b, 0xa2cbe490, 0xd8a5d0d5, 0x5ef9c635, 0x956fd9d0, 0x73b466c1, 0xf0ed2515, 0x54a80687,
+    0xec2fc1b6, 0xe26dbf44, 0x58be9f31, 0xf45c867c, 0xeec2773b, 0xb9f90807, 0x976774d3, 0xfcf2f28e,
+    0xc6f1e18a, 0x6ecdb17b, 0x839c136f, 0xb8af480a, 0x722f0567, 0xed5d1099, 0x95da1fb5, 0x484fdb75,
+    0x4d6da0db, 0x53dd979b, 0x3fa558da, 0xf254e115, 0xdce3101a, 0x4631d72e, 0x33cc3fe5, 0x1a35a4a1,
+    0x4586ee3e, 0x47bc6ebd, 0x22cc7b52, 0x5c85501d, 0xe813a377, 0x003fab8f, 0xf39b589e, 0x5121eb62,
+    0x78a05ce4, 0x3338fa56, 0xe539046b, 0x64da6c5a, 0x0821ad3e, 0x6922c683, 0x563935f2, 0x82dcee5a,
+    0x1c1cd652, 0x3e511ca6, 0x0858eb3c, 0x61760b0c, 0x1c79a9e2, 0x728d6456, 0x9a703f3a, 0x9309810e,
+    0x42e5c14b, 0x03c85fc4, 0x3dc4ff58, 0xb16a7a19, 0x3428ef5a, 0x93fa22af, 0x9c570717, 0x4c25d9fb,
+    0x98408d82, 0xa99f8eed, 0xd1a0bea0, 0x80cbc412, 0xd9cb2832, 0xbef519ca, 0xb031128b, 0xbd881e94,
+    0x3c2e5f22, 0x8469c716, 0x0a86f057, 0x4134ecd3, 0x47f76ddc, 0xcab99828, 0x4a455adb, 0x6e4ec0d4,
+    0x9fc0c969, 0x7c905573, 0x68a76385, 0xda98ec82, 0x71b319ad, 0xbfba4673, 0x0bed947e, 0x6ff5315e,
+    0xec82168e, 0xc2f6fa2f, 0x03fd06f2, 0xb845a390, 0x24c0494d, 0x44aa2aa0, 0x79d109e4, 0xbc87169d,
+    0x92f8bb66, 0xf7799b06, 0x8f32c147, 0x57dddc9c, 0x9674eea8, 0x4ae15e38, 0xd7acd527, 0x8d19aaa2,
+    0x08b8da22, 0xd9642c61, 0xe6d820c8, 0x4cea290d, 0xe02aaba0, 0x465daebe, 0xdc592d6b, 0x901cba4a,
+    0xa86851d2, 0xec5e717e, 0x2d62c9c2, 0x79f5a521, 0x315c2087, 0x30ba838d, 0x62dc7600, 0xfffef3f7,
+    0x4e96d6d5, 0x7a9f11a4, 0x05ad6b90, 0x5370a52d, 0x09a13f87, 0xc647c548, 0xdaf83bd4, 0x4ca54583,
+    0xad742916, 0x89bb94fb, 0xc56866c3, 0x5753ead0, 0xb450b4fd, 0xd5227c70, 0x380f39b6, 0xa18048ff,
+    0xb7333dd4, 0x2ce73208, 0x00c4ed60, 0x9a68ecf6, 0xaebfeaad, 0x3ee46782, 0x74e34e81, 0x1b02764b,
+    0x96052ce5, 0x5cb300dc, 0x79f228a6, 0x6331d471, 0x1ffed508, 0xc68d4a10, 0xd46992c1, 0x2d88784b,
+    0xb5059350, 0x654e5fed, 0x287bb13d, 0x5b1d8860, 0xa9420b02, 0x898b8e60, 0xbabc8ea7, 0x9c4c1716,
+    0x02ea4b71, 0x04960847, 0x915ea60b, 0xee3611c6, 0x8d5cf68f, 0xf1a88e59, 0x55143bfa, 0x3cd55317,
+    0x38199ff6, 0x996b8cbe, 0x80f99c33, 0xa0d468f0, 0xf50b4df5, 0x25a933fb, 0x9e8b7e5d, 0x34c6b34a,
+    0x27bb634d, 0x1986f025, 0x7eec7eee, 0x153a6e4b, 0x468f921a, 0xe9bf04f7, 0x0ecc4190, 0xf4e299a6,
+    0xc6f15ef7, 0x5ec73ba5, 0xb57b8a01, 0x305a7ec3, 0x5d44ddd6, 0x58020c1e, 0x0b6c69e8, 0x318119bf,
+    0x3fbb8dad, 0x37adf71e, 0x5babcf3f, 0xec9ba688, 0x6eaf9dd8, 0x98379320, 0x7724e5f2, 0xe8c07780,
+    0xf9d7ad63, 0x1d3f2480, 0xb33ffd2a, 0xafc64de2, 0x71a10fb5, 0xd8d2c6a7, 0xbfe256c6, 0xfc256efd,
+    0x6154cf4a, 0x647ef0c7, 0x0a3eafb8, 0x31936008, 0x31c116d3, 0xe6f53ada, 0x58cc909a, 0xb332909d,
+    0xaee02379, 0xc0d3099f, 0xe1fe5220, 0xb5bd7c3b, 0xd525f8bf, 0x2166ad0d, 0xd398b133, 0x951f0965,
+    0xf2dd83ec, 0x7a42163a, 0x25608c9e, 0x950fdb53, 0xae43e019, 0x1fa1f037, 0x886e9e7f, 0xbb6084d7,
+    0x863c1463, 0xf79b3e65, 0xeff4931f, 0x8a688388, 0xafb57ba0, 0xde3450a0, 0x37f894d5, 0x4d443ddb,
+    0x820f317f, 0xea0f9aa0, 0x9542d15a, 0x21428cff, 0x33c5f401, 0x369be00f, 0x5f5bd290, 0xe6468eb6,
+    0x1532046c, 0xe5a9bb43, 0x7cd90592, 0xdad359da, 0x6fdb05bc, 0x9c8cfb52, 0x815e3c1e, 0x53fdc354,
+    0xee726a70, 0xd5235387, 0x8709ce07, 0xa661bb0d, 0x073bae86, 0x664dbf57, 0x1db3f138, 0x3ae482dd,
+    0x2bcda94b, 0x6c7482ba, 0x8c078301, 0x3a699137, 0x369dbe68, 0x4745b3dd, 0x4fe2474e, 0xc958f36d,
+    0xaf78cb83, 0xda652252, 0xf2987215, 0x51764f42, 0x3c7ec443, 0xe912ecb1, 0x0e4f464f, 0x5da5e02c,
+    0x1371842d, 0x1accf0fd, 0x8f29cef4, 0x86dc226c, 0xfa6fefa0, 0xefd7183e, 0xefc488eb, 0x02e090e8,
+    0xbf72660e, 0xd83be376, 0xc83649eb, 0x9d41f98f, 0xc3d85943, 0x58df6e49, 0x3318c5b6, 0x08a8d666,
+    0xa8416ed9, 0x1cb79ae9, 0x79fe58a0, 0x6e79328b, 0x12463d99, 0x11158c8f, 0x4b151971, 0x4df97542,
+    0xc1e7b1e3, 0x23c7220b, 0xd41943c3, 0x909e1189, 0xbc1103ea, 0x545b5e3b, 0x0acf691e, 0xe50d6693,
+    0x95460951, 0x515e2601, 0xfc2001f8, 0x199ed320, 0xae2895de, 0x9fcad52d, 0xcbc8b6f8, 0x3e583c9b,
+    0xa7ba34b7, 0x7615b0f4, 0x200097c8, 0x99ea11b7, 0x3c6f6a55, 0xd4133cbb, 0x53347905, 0x6bdf6212,
+    0x7a659d1e, 0xcc19c552, 0xd7eefa9a, 0x5024fc53, 0x01b36aad, 0x1b0b07b2, 0xfc0e9c59, 0x228e08d6,
+    0xfc2f5c2d, 0x6f4cb53c, 0xbebd3f5b, 0x54228e56, 0xc1add97b, 0x02172d30, 0xa95a721b, 0x9687ba96,
+    0x9ecc57d9, 0x4fa8fa23, 0x60693855, 0x4ecf32eb, 0x325ec346, 0x1cf5d883, 0x119868bd, 0xdcbde7d6,
+    0x1e0693af, 0x425ce500, 0x92c6c5eb, 0x62360bf0, 0x1dec2cc9, 0x97d51333, 0x5e650378, 0x59b6d4c4,
+    0x3f1c7f94, 0x61945aeb, 0x26ec25cb, 0x6c4cd780, 0x025c24c6, 0x248ae51f, 0x0aa2e058, 0xc6cc864b,
+    0x18d49da6, 0x569bed1a, 0xe0084c57, 0x3fe16471, 0x9c5675a1, 0x40a6acb1, 0x51935e19, 0xb707b414,
+    0x27472606, 0xc2f04036, 0x04fe7a5e, 0xee23ab83, 0x41dde91e, 0x758d4cef, 0xfe96a2fd, 0x1d2375f6,
+    0x76c483e3, 0x64a34cb5, 0x78c87446, 0xbb0535cc, 0x717f2571, 0x2b877f66, 0x09cc4e97, 0xf5d3092a,
+    0x4b999329, 0x343c391b, 0x7bc372d1, 0x1d7cf4e0, 0x7031a446, 0xfb09d31f, 0xf813f9ae, 0x464f4753,
+    0xe174e680, 0x5cf51fda, 0xb08ad162, 0x4c66e73a, 0xf66de999, 0x6eba441c, 0xd219d965, 0xba024b34,
+    0x637ebe36, 0x4cd46ff0, 0xca1bf511, 0xf8239300, 0x8789e134, 0x5c6a73f0, 0x8a49803a, 0x5e744fa4,
+    0x8e016089, 0x0efeddf5, 0x17a42968, 0x7a9e98e1, 0x84f18471, 0xa62cd085, 0xf01e9053, 0xda95e74e,
+    0x40e6f44b, 0x2b62a2cc, 0xa5ab864d, 0xef615bea, 0x33f7bcff, 0xef7cdbd4, 0xd9394ad8, 0xe4ce58b1,
+    0xac79cc59, 0x01a24942, 0x9aea6031, 0x8846e5bb, 0x0a20a638, 0xa8d07e25, 0x1cdd5a78, 0xe6e5995e,
+    0x819b9107, 0xb9f6ab63, 0xe9bb88f1, 0x9a2f892e, 0x7633411f, 0x87937d47, 0x92cdc329, 0x05f8a1a5,
+    0xb10e137a, 0x10975221, 0x8ba7ac8a, 0x7c77868a, 0xd297d896, 0xc0003b77, 0x5a726b37, 0xc49920c7,
+    0x34e08ddf, 0x83c93621, 0x59db4188, 0x84e53c9d, 0x6766e8e7, 0x395f0747, 0xcef9d67f, 0xc6f21420,
+    0xb8e4c047, 0xc9c79537, 0x08a5a84b, 0xd2d91880, 0x3679e92d, 0x230d03b4, 0x1a60ee20, 0xbe92372e,
+    0xc0ed9450, 0xa174e99a, 0xcb2cb4cf, 0x8f34cb20, 0x246559c2, 0x5ebdbebc, 0xfc0ab66f, 0x19aebf52,
+    0x660628cb, 0x5bd81189, 0xe4852171, 0xb53eb09f, 0x0de10f7d, 0x6344f558, 0x656ce7cb, 0x3c764d23,
+    0xa57f8041, 0xd9cef2d9, 0x3a520c00, 0x5e0df424, 0x25957c3f, 0x61c99eaa, 0x70a5110a, 0x7395be33,
+    0x78265147, 0x1c857f04, 0x0d4c56e4, 0x1e4a95a4, 0x54e3d666, 0xe0660ede, 0x7499bc46, 0x0fbdd45b,
+    0x4334c066, 0x673e2471, 0x1f4d6b10, 0xcf06aa50, 0x646d62cb, 0x4beba526, 0x41f13711, 0x2830fd92,
+    0x8dd4a7ea, 0x62852ac5, 0x51614f01, 0x838dbed5, 0xbf51c8ea, 0x5a86498e, 0xe4d6a391, 0xd642384c,
+    0x00000000 }, /* 10**00000000000007621456421669902908646477611799722426144038434240652223777238670\
+                         96038022172794340849684107193235344521442121855812163792833978437326241529856 */
+  { 0x00000000,
+    0x40000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5,
+    0x90105cf0, 0xb3a0cca1, 0xfbd3baa3, 0xe747c497, 0xd56c75a1, 0x7ac286bd, 0xc900acb9, 0x4a99fe2b,
+    0x00000000,
+    0xa32c035d, 0xad1ca3ba, 0xe1e5830f, 0xa44c7775, 0xbfcc9b8f, 0x25838eca, 0x556f3779, 0xf534ccce,
+    0x75fbb9aa, 0x4cb28217, 0xb7ed7c71, 0xbd477060, 0x7b5135ac, 0xb13a6ff8, 0xf22c7735, 0x8a5d6662,
+    0x25828ccb, 0x56e751ee, 0x95fb4338, 0xde7fdfdf, 0xa1618525, 0x90333879, 0x7643c9c5, 0xb8c3fd50,
+    0xa5082863, 0x0bfe2451, 0xd374b4ac, 0x552f5c55, 0x4ab152b2, 0x2ece0f86, 0x210ada2f, 0x95283138,
+    0xc563f3e8, 0x0068acdd, 0x6632acaf, 0x5d0786e3, 0x93698532, 0xefeaaa27, 0x57c2b0b6, 0x5d97d1f6,
+    0x1566bc4d, 0xb13f84f9, 0xb8d798b7, 0xdc9399aa, 0x9121a66b, 0x3a2c05e8, 0x8bbcf8e1, 0x4ff07964,
+    0xc236bb78, 0xeed234e6, 0x746ddfc6, 0x3fb803d1, 0x6b4677ec, 0xd7f32c8b, 0x07c603e4, 0x9ac2a8be,
+    0xd895048d, 0xccb4bd2c, 0xe9cede50, 0xa16b2fe7, 0x20be3f75, 0x40a6fff5, 0x6bd79606, 0xc526dbac,
+    0x6b83c5ce, 0x313fa7ff, 0x7164ae67, 0x9ad1c6ea, 0xf39e0aa2, 0x3bcffd3d, 0x5aa980dd, 0x229773e6,
+    0xafa2fe16, 0x57b4b7ff, 0x2c6070dd, 0x052e702d, 0x598f989f, 0x2a0334db, 0x2119201b, 0x1051491b,
+    0x47ff4a3f, 0x043340ac, 0x9a4a673c, 0xe23e9224, 0xab1a0b5a, 0x7a3d18c6, 0xec977437, 0x4698d9a6,
+    0x2fbf12b2, 0x0fc0a233, 0x16cc0cd1, 0xa3e8287f, 0x92ef1cf4, 0xf0b7369e, 0xd94d8c17, 0x3db53f8c,
+    0x569ff8ec, 0xdc8e9d68, 0xace54bc5, 0xd592ca4d, 0xb11d8a1c, 0x288bb4d9, 0xafbc1d40, 0xa87c4374,
+    0x1a3f125a, 0x9decc4ba, 0x72cf6f00, 0xa46e97e5, 0x84781672, 0x974754b9, 0xd2176f8e, 0x52518280,
+    0x9f9fc8a2, 0x10af8fd3, 0x28e84a64, 0x50b9e2cd, 0x0111f360, 0x78f7af2e, 0x19b68718, 0x53755c81,
+    0xdb8af610, 0xc6b42e5e, 0x04dff054, 0x283ea695, 0x51157688, 0xfeb77c10, 0x3a50c625, 0x31e962a4,
+    0xf76e4e42, 0xe3f6b26c, 0xee461f34, 0x6edf8ef1, 0x8bdb4df4, 0x79af0b0b, 0x71e49889, 0x0ba3307a,
+    0xd5f13f06, 0x991c4641, 0xd33cc76d, 0xd0fcef51, 0x1274c691, 0x036a8549, 0xd8cc4ed4, 0xb790457c,
+    0xf730ab30, 0x34476b6a, 0x0bdd4d15, 0x3a5424c6, 0x1ac65ed8, 0x95535d66, 0x415db6eb, 0x0ed58e18,
+    0xd79c9627, 0x3bb933ed, 0x68764583, 0x0c782bb4, 0xad1c404e, 0xb0dcd7dc, 0xb8d4a161, 0x444019f0,
+    0x00a17f9f, 0x384a780b, 0xd6aeac95, 0x366896b0, 0x3970904c, 0xddd6f606, 0x153db34f, 0x7619fec3,
+    0x8d0c383b, 0xa22a5732, 0x6ec14646, 0xef4fefa2, 0xe271f209, 0xcd7043d4, 0xbbe6c564, 0x7a4296d6,
+    0x0836782a, 0x6e9a7240, 0x6d41d89f, 0x494942df, 0xf16e95d1, 0x16ef3d21, 0xdc48aef5, 0x07ac35b8,
+    0x80968c05, 0x9f80e461, 0x082f3b59, 0x1acb5511, 0x5f663afa, 0x9a5b25cb, 0xf8ada97c, 0xe5aaab12,
+    0x06bb814f, 0x3da66d12, 0x722afaef, 0x321e892f, 0xa7feeda2, 0x6756efbc, 0x85e9328d, 0x83d05d60,
+    0x82919108, 0x536e020d, 0xcad983ac, 0x5d61c779, 0x11d830bc, 0xba7afac3, 0xcb77e9a1, 0x7fb021e3,
+    0xbe10bba4, 0xfec45db1, 0x7ccd8bd9, 0x60501fa2, 0x624ac4d3, 0x2d9102f0, 0x8087d086, 0x669e0e64,
+    0x3b1441cd, 0x75dd6c25, 0xcac5c617, 0xef4e2708, 0x584de07b, 0x21b4aa66, 0xec0246ba, 0xafedcda7,
+    0xe182b8eb, 0xe2437532, 0x876aaaed, 0xbbabbb76, 0xb2fd3ddb, 0x1e86adf3, 0xf2a533a0, 0x9a2e739c,
+    0xe12ebf0c, 0x42f74fd6, 0x2aa54538, 0x3cbcb8e9, 0x31bcaa46, 0x2e7c0d52, 0xb99299ed, 0xd2a8f375,
+    0x936d70d9, 0x8c792c8f, 0xb14880a9, 0xce8f5eae, 0x66071393, 0x25b6a038, 0x70841381, 0x6879169b,
+    0x4619602c, 0x21bdced6, 0x1ccab399, 0x968bcfa8, 0xe3dab175, 0x35c76f4a, 0x9fbead0b, 0xa79cd7f2,
+    0xc9593ffe, 0x5592050a, 0x0be027e3, 0x3d6c4439, 0x8f59fc28, 0x48da68ca, 0xdda47709, 0x922ac4a8,
+    0x6e719359, 0x5efe0bda, 0x95726aca, 0x5abbadaf, 0x29c1f067, 0x68918400, 0x567eaf85, 0x35a7e490,
+    0xdef787a3, 0xbf2ee663, 0x589ecae7, 0xc8b27c35, 0x2258f255, 0x353011a3, 0xef44ab72, 0x6d93188e,
+    0x7a7c03d8, 0xfd8c78d6, 0xd71aa1fd, 0xa35d4dfa, 0xb87a4985, 0x64e12d63, 0x66786ce7, 0xee194d6c,
+    0x61ab033b, 0x31a52512, 0x6397c47d, 0x91c8e92d, 0x8061ea99, 0x4b3baeaa, 0x2564ed23, 0xba7330be,
+    0x381fa5a0, 0x25cc3eb9, 0x7db8b2f6, 0xd2d2e9f2, 0x9d2060a5, 0xd7a7dc89, 0xa4c7b94d, 0xe2493b3b,
+    0xffd4a55b, 0xab1f1f97, 0x34274c0d, 0x842efbb6, 0x80c56c3b, 0xdc885957, 0xcf1ac87b, 0x186e9a62,
+    0x634860f9, 0x54391893, 0x015ba27b, 0xb8fe702d, 0xca438e8f, 0xf5eec8a1, 0x810e02e5, 0xb44a2e40,
+    0x7e3acfde, 0x235592d7, 0xfb2e2ed1, 0x5fcb7ea6, 0xe09aadf4, 0x44c42f7d, 0x6c7fe7ff, 0xe751433c,
+    0x225aa93e, 0x0093e20f, 0xbfc0320e, 0x3528cb25, 0xea0e2de5, 0x63222833, 0xa47ce399, 0xfd073623,
+    0xb9d8f6c7, 0x9964586c, 0xad71dd64, 0x043bbaf6, 0x569325ae, 0x51edca19, 0x9d60fc09, 0xe123d3ed,
+    0xa91b2dd3, 0x400f8546, 0xbc2da298, 0xea0a2158, 0xe828affe, 0x68b16835, 0x94c21a8f, 0x8c8f28d2,
+    0x6f06afdb, 0x36eab9a2, 0xe231ec9e, 0x0b7185f0, 0x037cacaa, 0x1b7e6627, 0x01a1fed2, 0x88c5d7bc,
+    0x5e11538e, 0xc3c80e66, 0x492b77e2, 0xc5be3ed5, 0x3f878033, 0xe3b38738, 0x93a95e75, 0x847eb17f,
+    0x40448c24, 0xd7026c22, 0x8a4c9a05, 0x343df017, 0x91b6a86f, 0xfd920d16, 0xfc2a942c, 0x30a9e1f1,
+    0x5531871d, 0x0d88dca0, 0x8e438648, 0xfc71c813, 0x8db385fb, 0xf3b89d90, 0x94a4dcb9, 0xbd2c9641,
+    0xb3b5d3d6, 0x88c1acd6, 0xdfae81fe, 0xd7f0fb03, 0x2a6c6577, 0x0766f5e6, 0x1392b078, 0x94619b14,
+    0xd520eea1, 0xee3b4f75, 0xdbaa3e51, 0xcbaf1f34, 0xe3519a7e, 0x23fcf11d, 0x9edcf277, 0x5505c8d7,
+    0x882b1f1a, 0x7d6c11d0, 0x4532d446, 0x010eb944, 0x935b902f, 0x18168668, 0x5c69a3fe, 0x9f702458,
+    0x8c035121, 0x4f3ab905, 0x20be936e, 0xc06b857d, 0x51735819, 0x313c3743, 0x1ec9bdfa, 0x09640456,
+    0x273a80fa, 0x4304205b, 0x8a8e8bb2, 0x71f02379, 0xf02f7967, 0x97423a43, 0x765b8c23, 0xb439346d,
+    0xaeacded2, 0xedbb8cb2, 0xb9d49c74, 0x52d8c4fb, 0xcf6b2cff, 0x363f0f23, 0xca08a7e5, 0x2503f55d,
+    0x09e73008, 0xae6e7581, 0xd9af9d3b, 0x7023a513, 0xf180250b, 0xc0a071ed, 0xd154f19a, 0xbdb644d5,
+    0x7f9fadb2, 0x16969cd2, 0x9cd2f24e, 0xa0bab4f2, 0xbff63afe, 0xfd902cec, 0xb7f1f91f, 0x0e9763df,
+    0x2aa6855c, 0x0cacff2a, 0x35373fab, 0xea4c43b8, 0xf9494911, 0xbcc1376c, 0x225d8d18, 0x152110fe,
+    0xb799add3, 0x91c17ce9, 0x76cc0e6a, 0x634bb1b7, 0xee350945, 0x5effef28, 0xcf8e4225, 0x9c48ee69,
+    0x443612e0, 0x53894e3c, 0x5234188a, 0xf9aaf868, 0x7529077b, 0xde3cd80c, 0x0dee8cd0, 0xb98f3827,
+    0x5b1e996a, 0x44d9160f, 0x79080a62, 0x991d861e, 0x1d6e7bdb, 0x06f59514, 0x04fd174a, 0x189ac6b4,
+    0x9261d4ce, 0x84c17fb9, 0x63272b4e, 0xe1a20163, 0x9f624e4a, 0x8848032d, 0x90f9e672, 0xa80efe2d,
+    0xac225a80, 0x20e01e3c, 0x26955e22, 0x06fd6612, 0xe293c69d, 0x0d745bbb, 0xf42a5362, 0xe51af898,
+    0xb9a63fc5, 0x29eba56c, 0x1b534309, 0x1a305940, 0xc56c3ef0, 0x1ea84f20, 0x324b0c75, 0x57b6006d,
+    0x5550c7dd, 0x0d6a9910, 0x81a9d7e6, 0x89c157a7, 0x1301aaa5, 0x0434f517, 0x1aa1ff42, 0xe2331eb1,
+    0x489d9f0b, 0xb37d1799, 0xac29ee11, 0xbc2ff587, 0xee676778, 0x9b2e132f, 0xa70ebe95, 0xa9802c61,
+    0x76a4e19a, 0x0b2f2e17, 0xe66c1ed7, 0x2e8aaa2e, 0x86d570cd, 0xb00bd72b, 0x967d2ed4, 0x97a8c832,
+    0x9c1093fe, 0xe0e79f9d, 0x24cb793e, 0x38ace63b, 0x460c3149, 0x2a23efef, 0x22c20f13, 0xb010a1ec,
+    0x9fd4e532, 0x9107d784, 0x19d75487, 0xfb688cc5, 0x57812f0d, 0x80900a2b, 0xa4aae2e1, 0xd72b2d30,
+    0x62dec247, 0xcc93824a, 0xef098df8, 0xcef00c83, 0x6695241d, 0xfbe1b528, 0x294301db, 0xb0ef87e2,
+    0xa8823c13, 0x9b4d56c8, 0x1b95fa0f, 0x698221a4, 0x332bd676, 0xa7eb2e39, 0x417903b3, 0x15de0aeb,
+    0xdee44a15, 0x6d299b70, 0xa8f447cd, 0x204981ec, 0x8e858629, 0x623fb581, 0x634168e1, 0x20892943,
+    0xf99ced3e, 0x18f4e177, 0x3a041ec4, 0x441b02a5, 0x2e2fcbc4, 0xff10968f, 0x93625b1e, 0x916700a0,
+    0x2abbf6b1, 0x664ccec9, 0xb626db03, 0x0f7cbbb2, 0x9b5e5add, 0xeb8094fd, 0x0e89e701, 0x40352d96,
+    0xa9780db7, 0xe565ad44, 0xc8bfc235, 0x73224282, 0xb9797b79, 0xed617b8a, 0xa33b4361, 0xc10e2f28,
+    0xec72b1e7, 0x760ab6cf, 0x12573fb2, 0xb9707dd6, 0xa3664ffa, 0x8cc58eee, 0x0bbc85ff, 0xa8a7f513,
+    0x218e7902, 0x19cdc1cb, 0x71e8361d, 0x9d48509b, 0xad485b8a, 0xf3ff9119, 0x216551f3, 0x6662f811,
+    0x75b5b387, 0x5e41f805, 0xe5e61a10, 0xad0bfca9, 0x84af5441, 0xae740001, 0x5ee469ea, 0x26a1686e,
+    0x82f0bd90, 0x53d9f07e, 0x0c52558f, 0x5ea5d8a0, 0xf297af47, 0x79bcf16a, 0xfc7e4d3b, 0xa19a29bc,
+    0x7f341cec, 0xb67421fa, 0xf9c3397c, 0x6fbc1e8d, 0xa58c4c0b, 0x27c8eaf6, 0x9adccb2f, 0xd2702956,
+    0xea860ae8, 0x5ae23ab1, 0xcca37600, 0x58c15e0c, 0xb9c0ffbe, 0x6d7b4724, 0xab2917d6, 0xdb4306ac,
+    0x7970d112, 0x26f30d0c, 0xadce9d17, 0xe428c211, 0xb5870aac, 0xa801d243, 0x20f5ba9e, 0x2375ce47,
+    0xabfd0345, 0x41bc2ac5, 0x8f50528f, 0x3bc181f1, 0x4a37e5b6, 0x7388f3d7, 0x9d437c0e, 0xc45b0c39,
+    0xe3860643, 0x30fb0e7b, 0xce401279, 0x9b7348b1, 0xe95b5db9, 0xcedea726, 0x046346b1, 0x4e1f9965,
+    0x3af1a83a, 0x6d59c34e, 0xb8ab8c15, 0x42c84372, 0x76fca041, 0xf30a7d78, 0xdcf5fa6b, 0xfdc21c1f,
+    0x97f94a8c, 0x5dc47075, 0x42991cea, 0x6084c5bd, 0xff95e2b0, 0x7b6a128a, 0x81180c12, 0x0642df10,
+    0xffb3a0b1, 0x98d930d6, 0x51d158e4, 0x4d735a55, 0xedad6ec8, 0xdb6a0054, 0x08f20679, 0x82098620,
+    0xc380f3cd, 0x332ba4ef, 0x674692b5, 0x2f7859e3, 0xe4aeea65, 0xd51cb8ee, 0x3c263a3b, 0x5b8b875a,
+    0x75893eb4, 0x27a4116d, 0x66194940, 0x6f139a40, 0xafa34718, 0xfc31e9ea, 0xad8a98f5, 0xb1a93a19,
+    0xaab5b339, 0xa7e96421, 0x618c51fa, 0xf94c41db, 0x924f2416, 0x9eeb12a1, 0xda75c54a, 0xef457e62,
+    0xa3033bfa, 0xad2da9b2, 0x6fa20831, 0xfa750139, 0xc7e3a1af, 0x0bd44f84, 0x5d6b4439, 0x9fd16521,
+    0xe8a93151, 0x38db525a, 0x7d36498e, 0x40a4640a, 0x7888d53c, 0x1cb04384, 0x7174d4da, 0x9a37687f,
+    0x1bc9e31d, 0x181ac75e, 0x99984ccd, 0x4fe61bb9, 0x899b2feb, 0x790592e2, 0x1c3d710f, 0x4c19e703,
+    0xe0dc6e0e, 0xf0c4658b, 0x077b6ca3, 0xdd65a1b0, 0xee93715e, 0x61c7a336, 0x1a792e5b, 0xec0de4ed,
+    0xac399e1f, 0x2a4465da, 0xca00267a, 0x08b0cfc9, 0x65ab7da1, 0x3abb7f4e, 0x10049a37, 0x4eaaf090,
+    0x29c469cf, 0x1574584e, 0x0a534f4c, 0x681daccd, 0x5e794c02, 0x6d1bbd2a, 0xf23eda0d, 0x003cc852,
+    0xfbfe7309, 0x363cf169, 0xc71b34e7, 0x34e9f373, 0xee688df8, 0xe75dad33, 0x32aacc0b, 0x53df3587,
+    0xee2fad7c, 0x68a7bc2d, 0x04fc48dd, 0xf62f490d, 0x03a3d929, 0xefd4e28a, 0x159771a8, 0x30095f2c,
+    0x6d8cbcbc, 0xa456675f, 0x05e6d263, 0xca61a19e, 0x843c9c71, 0xb46a5d4e, 0x91e64456, 0x9bff634c,
+    0xbd55ff4c, 0xe7820d40, 0x48b24ee1, 0xe4b3708a, 0x42f6f986, 0x78fd042e, 0x539f2576, 0x8ba4564c,
+    0x79bd7c47, 0xd203ba3c, 0x79c0fe8c, 0xe02e2fbc, 0x3753e157, 0x018d3d17, 0xb05e10c0, 0xf589a66e,
+    0xb3c454e1, 0xece8ba81, 0xceb7dd26, 0xb4e1a6cd, 0x994ab253, 0xb0985da0, 0xeb7dc017, 0x9119a6a6,
+    0x2c62bf68, 0x1180d6d8, 0x4de2966e, 0xaa7d80db, 0x1935387e, 0x0ab6359e, 0x5f08702c, 0x7d7227d4,
+    0x7d13c332, 0xe0bed89a, 0x22b4ce56, 0xaa3215c5, 0xf871a7a7, 0x2cf8fe22, 0x1986dfcd, 0xe8ec56de,
+    0x63460392, 0x8ab1cfcf, 0x83a5989f, 0x48f46c1a, 0xa28056d7, 0xe156cf16, 0x37ff7849, 0x56c5ed48,
+    0x2785edff, 0x92749498, 0x65426849, 0xd27e2385, 0xa92e5840, 0x1ab64c53, 0xde52998b, 0x913b1686,
+    0x3bc93642, 0x815b8846, 0x18d0774d, 0xdf8fe8bd, 0x286e0272, 0x0c7cc118, 0xfe22318f, 0x57bdf906,
+    0xbe87dae7, 0x03b931d3, 0x7c665949, 0x84f47062, 0x004b5d86, 0x79264fc4, 0x103b7778, 0x018b9fb6,
+    0xdef9fe0c, 0xcf58fcdf, 0xfd9f1889, 0x5449685e, 0xcf5bfeb4, 0x3db4e683, 0xecfa516f, 0x707623eb,
+    0xec3e4d50, 0x1f5aa767, 0xe3c26a14, 0xd18cc66f, 0x4d29a356, 0xf6d5b634, 0xdc7b5f96, 0xfc8f854e,
+    0x772126b8, 0xe816c630, 0xd237ecaa, 0xc7177d79, 0x25676b4a, 0x4946080a, 0x58f90006, 0xb2db594e,
+    0xd790b266, 0xc7067d3f, 0xe7cae441, 0x7de1f6e4, 0x832c4411, 0x780f8a03, 0xc9c5bb7f, 0x99c7ef6c,
+    0x20eec9f7, 0x17c88f6c, 0xefb8b152, 0x9b742a61, 0xcb5e56bf, 0xeb7abcb9, 0x20234b3a, 0x91097ba7,
+    0xfc29ca5d, 0x3343374d, 0x73087c13, 0x83a41b9e, 0xc739f033, 0x074bbfd3, 0x2c872c49, 0xc2c6e5db,
+    0x19bcfdf4, 0x2657acb2, 0x446d5029, 0xf364a4ce, 0xd6f08124, 0x4904a0c9, 0x8bfb9d32, 0x4103a750,
+    0x3182b893, 0x946adc54, 0x661d1682, 0x67f234b5, 0xaa671557, 0x16bf0f3d, 0xff57cbc4, 0xd54815ad,
+    0x1cb5deab, 0x5da6141b, 0xbc50e817, 0x6381f1a8, 0x4d8e7438, 0x128c0cd4, 0x30c4ee13, 0xb436f789,
+    0x90dfcde8, 0xf5323c0c, 0x3b145514, 0xd93651c1, 0xf64158cf, 0x49db0573, 0xf67cdef2, 0xe8cd3290,
+    0x75ac0cd4, 0xdfd83536, 0xa65e2e10, 0x177d9864, 0x0ab61c61, 0x3afda142, 0x732b5745, 0xb6ef6e81,
+    0xd2c23ca5, 0xca061f3a, 0xe5fe4a6f, 0xba3a4b14, 0x347b7e6a, 0x33d807b6, 0x76969cc5, 0x470c4a66,
+    0x08db544e, 0x8a20ec05, 0xd1f813c2, 0xbc428826, 0x07036dd3, 0x576274ff, 0xc44620e8, 0x1499fa2c,
+    0x51e02453, 0x303d57f8, 0x2b7bb12d, 0x3829dee4, 0xa0eac209, 0x9ab442f3, 0x54f16872, 0x25d1a097,
+    0x95e2c10a, 0x251f1ed1, 0x8a154ef7, 0x9ff92358, 0x88542dda, 0x84325ea0, 0xa1fc7066, 0x0561c77d,
+    0xf352ad0f, 0xac30d085, 0x3ccd7463, 0x163cb46e, 0x4e58eff7, 0x352660a7, 0x49c7dccf, 0x7c4b29f7,
+    0xfee6f942, 0xb5d7b6dc, 0xe2c081cb, 0x11e80250, 0x42148b68, 0x2bcf2b47, 0xc1508f3b, 0xccb1423c,
+    0x0d6e56e2, 0x7d670823, 0x32b5624f, 0x64d1a31a, 0x8a6b283d, 0x3c2a28d1, 0x8a479360, 0xd1bed340,
+    0x4b2b8f0c, 0x4e875e82, 0x5f3cea97, 0x6987d16a, 0x8b94ee9c, 0x1683f6d3, 0xd864ede1, 0xcdf5ecc5,
+    0x00000000 }, /* 10**00000000000003810728210834951454323238805899861213072019217120326111888619335\
+                         48019011086397170424842053596617672260721060927906081896416989218663120764928 */
+  { 0x00000000,
+    0x40000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a,
+    0xc8082e78, 0x59d06650, 0xfde9dd51, 0xf3a3e24b, 0xeab63ad0, 0xbd61435e, 0xe480565c, 0xa54cff15,
+    0x00000000,
+    0x90851951, 0x5a3dd574, 0xbf1ee49f, 0xce21ab34, 0xde396ac5, 0xa57265f5, 0xf535ca25, 0xc3e6cac4,
+    0xbb47964a, 0xc6d69333, 0x1133b8b3, 0x08b7e1eb, 0xc1bdf5f8, 0x30e8e79d, 0x5a95a71c, 0x33c7161b,
+    0x2ae68f64, 0x4f962621, 0x4316b6b1, 0xbf90e13a, 0xcb2a8b67, 0x768e887e, 0xdf0fca8b, 0x5159f30e,
+    0x2b379feb, 0x22fb7c3d, 0xe242acda, 0xe16e2f1d, 0x037cd98b, 0xf7eb4af4, 0x9f831847, 0x241b0663,
+    0x0257941b, 0xbc1377c7, 0x041b557f, 0x3dfddee3, 0x32993a4d, 0xe3c0ee4e, 0xac76325b, 0x641e6229,
+    0xd7832ccc, 0x6de579b8, 0xcffb9c0e, 0x29187174, 0x9d91729d, 0x65eaf81f, 0xd062744a, 0x1bcc33b2,
+    0x5c109181, 0x8102530e, 0xacb96619, 0x473035c3, 0xb2c016ed, 0x7d1d4077, 0x9b30a13d, 0x814e53cd,
+    0x0f697537, 0xaf4f559a, 0x437ba0f7, 0x720a57c6, 0xa78eac1e, 0x0ed80cd1, 0x0642271c, 0xc97ae994,
+    0xf66940f3, 0x12592357, 0x22829b79, 0x3486182b, 0x98910649, 0x24691a3e, 0x1561c18a, 0x45ba8db9,
+    0xb0e3fbd7, 0x26706788, 0x2d4f8967, 0x15d0d7b5, 0x6bc79f3f, 0xc9fdfeee, 0x5f417e01, 0xe98bec1e,
+    0xf8a06262, 0xac00b8c9, 0x84715076, 0xe6dec540, 0x755dc6ec, 0x5967907a, 0xab74da2c, 0x1a1631e5,
+    0x858da61c, 0x373e0682, 0x1b45e4fa, 0xce8fc4b0, 0xbe797931, 0xa1327640, 0xdfabc4c4, 0xcacb0bac,
+    0x24c19143, 0x7a59f800, 0x844ebee7, 0x62d25d18, 0xb3867c51, 0xabd1cf9f, 0xcbd73ea9, 0xfd9146db,
+    0x8f51b25f, 0xab07f06b, 0x35d64a45, 0x35b29a22, 0x4e70e734, 0x397cd597, 0xcf7a5e2f, 0xea423695,
+    0x74c1f9b9, 0xf3f0ac94, 0x21f732c5, 0x0d9c3422, 0x762d952e, 0x7154fcd2, 0x6eb2b9b4, 0x3161d4cb,
+    0x3cfdac46, 0x4d815dc1, 0xc14e503c, 0xaac9b739, 0x30b2b295, 0x153f9cce, 0x0e6d6f33, 0xd9a12529,
+    0x19b35063, 0x2d718d57, 0xa1570ef1, 0x426cc7ee, 0x79055c6f, 0xed5e7cc7, 0xc9ef7a4e, 0x4e0140a5,
+    0xb59edd43, 0x9ced2b9b, 0x05a78fcb, 0x32b42cef, 0x5200c379, 0x03f5f13c, 0xd9b76f4b, 0x019a7712,
+    0xd332c0f9, 0x779e5492, 0x3b079061, 0x56f5fa22, 0xce60b48c, 0x2c035b12, 0xbd3bb78d, 0x334eb825,
+    0xafcf3d76, 0x2c60a2c1, 0x88a48aed, 0xa6d540e3, 0x42745382, 0x5bf57ff3, 0xff7f8a4e, 0xbcad22ea,
+    0x7b2dabd7, 0x4ed47f69, 0xf39bcd35, 0xd5e75c9e, 0x65d64a22, 0x0ce59caa, 0x5af59ec3, 0xa0bb5381,
+    0x8b5d03a9, 0x61da213d, 0xb19f59b2, 0xd63cca79, 0x7f1934f5, 0x96602e0f, 0x3cd6fe70, 0x24e12acc,
+    0x67b19e63, 0x039d4654, 0x663c0de8, 0xf9378477, 0x82cffa3b, 0xcccde5e9, 0x828ad415, 0x266f062c,
+    0x23ce7134, 0xc1f29efd, 0xa6951860, 0x44f15e89, 0x25c9eb04, 0x30f2dca6, 0xd351fc00, 0x6ca13a86,
+    0xc61e0407, 0x91ccd462, 0x6ef90a05, 0x7be4c0c3, 0xa3838bd5, 0x08c9dc4a, 0x8e210dca, 0x37a70681,
+    0x5a76bb65, 0x2fc77f82, 0x4b82e88d, 0xf8805d9e, 0xd34b6445, 0x63b207ac, 0x585ae769, 0xb872090f,
+    0x512a0758, 0x10c6c210, 0xe86b4299, 0xde3a3f4b, 0x90abd626, 0x6079ce06, 0xdad98b7b, 0xf1c9307d,
+    0x61cc5144, 0x91ccff04, 0x75c14267, 0x06d8c950, 0x8d5911b0, 0xa9e3539a, 0x06348ec1, 0x1832f7fb,
+    0x87c081b0, 0x9a09500a, 0x142431eb, 0x40a82d2b, 0x38c6d0b8, 0x46277fcd, 0x580ac563, 0x360c055f,
+    0x8f0b7b99, 0x20c5272d, 0xeba89ddf, 0xf6364a45, 0xdb41dee3, 0x9c1f19d6, 0xb9ecafe4, 0x9fd60ff0,
+    0x112f92ee, 0x08d10dcc, 0x2895c01d, 0xb9d8ee19, 0x6e95776e, 0xec3229fa, 0xc8def645, 0x6a1b446c,
+    0xad96f340, 0x911b1596, 0xb0c967cc, 0xd416756e, 0x1a2deefe, 0xfcb949c9, 0x799ac947, 0x1807100b,
+    0x225cc829, 0x04ca1de1, 0xbe7aa0d3, 0x4ff0df54, 0x8fa45dc9, 0xde72dde5, 0x1d0ac48a, 0xbc998f52,
+    0x9c32389e, 0xf5e2e7ea, 0x631e3dad, 0xb32e4a62, 0x287d308a, 0x11e133bc, 0x32050214, 0x4d7202e1,
+    0x02f8976f, 0x326e94dc, 0x537aad1b, 0xc7b2412d, 0xda033d56, 0xf74ebe91, 0xcaf575d1, 0x33227f40,
+    0x7b5f5961, 0xb91f2c41, 0x91526baf, 0xb5076cb9, 0xa254b44c, 0x9a2f4067, 0x05df1b0a, 0x7905c2ea,
+    0x41184ee3, 0xbb6f808d, 0xe352002c, 0xab3bb876, 0xefdadcaf, 0xe69007ac, 0x2ac87e7c, 0xe508e2a1,
+    0x08ba3720, 0xe5b71e21, 0xd532564a, 0xace40f33, 0xefdfeaec, 0x57803dd6, 0xbafdcb57, 0xd08f1174,
+    0xcf63bbf9, 0x0afb1c49, 0x21471496, 0x31a5eb9b, 0x700361bb, 0x9b8cdbb6, 0xc8e5d9b3, 0xa9137392,
+    0x8044d13d, 0x922cf241, 0x1e44767d, 0x3218f727, 0x027f3c14, 0x487c7700, 0x4b051f74, 0x3824d488,
+    0x523deb7c, 0x07bbdfa1, 0x23cf00c0, 0x5eb18a32, 0xe71f7fc9, 0xbc2dcb1c, 0x8e181c50, 0x1c55af02,
+    0x33700ea8, 0xccd942bf, 0x3055247d, 0x6d518949, 0xdf7fd3dd, 0x5a920e68, 0x0d3a433f, 0x52d5a414,
+    0xf06fcce7, 0xa15c06de, 0xb466f667, 0x14fd30f8, 0x2f345330, 0x6991684c, 0xb77e6ad4, 0x555bc146,
+    0xc1082164, 0xbdd6fc48, 0xefc64a47, 0xfcf55b6f, 0x79c7a5ed, 0x92bc11d2, 0xe0a6211a, 0x7ee9e83b,
+    0x15800dcf, 0x6ea9b5e2, 0x58c9f168, 0xe42b1a27, 0x2867fa36, 0xf08c31fd, 0xe62d3246, 0xba5eab5f,
+    0x08e80f3a, 0x434352ad, 0xa82efa06, 0xb3dab511, 0x9919c85e, 0x908a0a04, 0x423210f5, 0x99d4d415,
+    0x23635dee, 0x47e20384, 0x6f12d1c4, 0x86af2109, 0xb89e6a5f, 0x5f78a09a, 0x945797e3, 0x98940932,
+    0x81e78b30, 0xdd0d1ee6, 0x6a5fe4e2, 0xac6f6314, 0x5d5ba57e, 0x8ad5b17e, 0x14a66c0c, 0x271d1063,
+    0x9f31916c, 0x31638208, 0x4e0b9181, 0x755572e7, 0x99ec66ef, 0x0b2f749a, 0xa0ad19cb, 0xaf572a19,
+    0xfb95cbf7, 0x5b539c08, 0x44f3a35d, 0x83c5bd9c, 0x41b76862, 0x8ffead72, 0x03412f59, 0x1bf6687e,
+    0x86c7c154, 0x3970eda9, 0xd68f6194, 0xcf3addeb, 0x81235af1, 0xce5ea1bc, 0xc37a3e24, 0x8406cda2,
+    0xac8277a4, 0x80ec0ea4, 0x7cabcd97, 0xcac9a131, 0xaa656f29, 0x68e8c6bf, 0x4b1ab844, 0x494b678f,
+    0x708ad15e, 0x22d13677, 0x916a3b49, 0x8122f2bc, 0xfeb1806e, 0xed49b69c, 0x87401a22, 0xd0103009,
+    0x40942aca, 0xfd495453, 0x90b4493a, 0xdae4e472, 0x3ff25983, 0xbd4fa9c6, 0x43be8284, 0x03a44970,
+    0xbd16f096, 0x5bc171c5, 0x6104292e, 0xa05029f8, 0x4b96b320, 0xfba21e4e, 0xd989506b, 0xf9b2e3e6,
+    0x72c677b2, 0x972ce115, 0x4d6e727d, 0x4eb1f15a, 0x401ecaf5, 0x4da6394b, 0x3d72ab44, 0x070716d7,
+    0x1cac711a, 0xf78d64c7, 0xf762a6ea, 0xe8ae843c, 0xe015dd25, 0x566654ff, 0x87566a19, 0x346b6c3b,
+    0xe5a56364, 0xdf73e286, 0xd66b3032, 0x9300813b, 0xa568ce23, 0x72c1db77, 0xebaed27f, 0x64c047ba,
+    0xb6935264, 0x618641d3, 0x34dbda27, 0x2401748b, 0x66f01166, 0x7537ae95, 0x6e6b517c, 0x54cce583,
+    0xe3d3b5d6, 0xc059c854, 0x7b2f666b, 0x10cfd543, 0x3575bb95, 0x5407a773, 0x631a3bbd, 0xafb1308c,
+    0x32fe148b, 0xd05ffdfc, 0x3e94ee27, 0x2d79d2f3, 0xae26a97e, 0x13c34e0d, 0x9904ec8c, 0x63ce604c,
+    0xbe31bf7f, 0x9f02fd46, 0xb3046e16, 0x2372b961, 0x5c238d46, 0x3f4e283b, 0x57af8e87, 0xece3eef6,
+    0xe31b0a0c, 0x6da2a7fe, 0x9568016d, 0x682664a5, 0xbc17d6b3, 0x9bc449ba, 0x659cec71, 0x93d48e64,
+    0xba58c34f, 0x27f0f195, 0x2b7e2f50, 0xa6f842db, 0x6cee74b3, 0x8e4dbb5b, 0x333d7ea5, 0xe3b7402d,
+    0x609419eb, 0x7bad7ef6, 0x02642991, 0x78efaae2, 0x14ee77cc, 0x23769c21, 0xa8933324, 0x9a8f68e6,
+    0x79b4baed, 0x7469aebb, 0x40e721d2, 0x571c266f, 0x31aff629, 0xf9d0503e, 0xecb10184, 0x8a333e56,
+    0x347d2ff6, 0x69e2abec, 0x8279983b, 0x03d03786, 0x7de825b2, 0x6fe30585, 0x61ea16cb, 0x5ba261a1,
+    0xf6363724, 0xbddf5a93, 0x4dc155ef, 0x053b7dfc, 0x1e2057e8, 0x5a4029fc, 0xe8069c2e, 0x1c4b3a70,
+    0x13136920, 0x1b8e7471, 0x9b9a43c0, 0x11879a02, 0xfa206bb3, 0x6216123f, 0x6e66ce5d, 0x63a9f2e6,
+    0xc18b396f, 0x6aea9c1e, 0x71d741aa, 0xc0c0ff52, 0xb73a9175, 0x88d7bcb0, 0x4cec5ca7, 0xfd96eb37,
+    0xb800a097, 0x08a24dfa, 0xed74354d, 0xd0702fda, 0x305f478e, 0xa801e7db, 0x4bfcdbb2, 0xaaf54fad,
+    0x316fbf19, 0x845d2ca8, 0x932654ad, 0xdf85bc22, 0x7ba1b41e, 0xe3ee402b, 0xead0d9ed, 0x4092bb2a,
+    0x2fed0a3d, 0xf20879e8, 0x96eccb26, 0x402045e4, 0xced878ae, 0xd03fa47f, 0xc7b4fd81, 0x2906f770,
+    0x5239776c, 0xa8030cdb, 0x715a0384, 0x88f2690f, 0x8309813c, 0x4c84e43d, 0x2c6acbcd, 0x3d4a3c92,
+    0x10be5cc2, 0x01aee395, 0x60476e14, 0x938ecb12, 0x6a259a28, 0x510d3aea, 0x93a7efed, 0x92a0ebcc,
+    0xb7ef483a, 0x7b7694ed, 0x30eba75a, 0x7af7cec6, 0xe58d6553, 0xbe27d3d1, 0x1f67ec80, 0xd5559ab1,
+    0xbe2c1634, 0xc87ef141, 0xa7d7696c, 0x77c94344, 0x429c069b, 0x06540db6, 0x41dcf95f, 0xd0d87706,
+    0x4fbff6ab, 0x19400ca6, 0x1edf404d, 0xc389f738, 0xd6340b3c, 0x35f65601, 0x0c7f7138, 0x24d7446d,
+    0x512a4b8b, 0x15188f04, 0xfae35e6c, 0xa1593dfe, 0xa3d77e09, 0xafcb9602, 0xc79d1036, 0x1ba9297e,
+    0x2bd7d837, 0x43055e6f, 0x673881ed, 0xf490550e, 0x7921ca3d, 0x4d72554e, 0xde77aa99, 0x5e922e2c,
+    0x0305ee41, 0xa034b2fb, 0xdb01e90e, 0x43737a45, 0x448722e9, 0xaa0daf8e, 0x7e873cd5, 0xcb688f05,
+    0x094cd55f, 0x01358a56, 0x08415ff6, 0xce0773b2, 0x49b657d9, 0xe3a46229, 0x8c4f0b70, 0x31ae84b4,
+    0xd5641b69, 0x26baf711, 0x179e0656, 0x3ac8a75b, 0x87729484, 0x928107aa, 0xdb20d3de, 0xcf97b33d,
+    0xcfbe85e8, 0x8467a37a, 0xe05db4c2, 0x46bfbd40, 0xfc450de8, 0xc54a4e59, 0x82c7b243, 0x4b265799,
+    0x644726a3, 0x355dd744, 0xef94e14c, 0x64cc0f98, 0xb5c2d894, 0x580ab5b9, 0xc2be3d1e, 0xd9764650,
+    0x0b89a429, 0x8cc7e863, 0xfe15e294, 0x38adff69, 0xf691c2c9, 0x08144b82, 0x537ab62e, 0x26e0c65e,
+    0x0f722506, 0xa351ba52, 0x16a7c79a, 0x6c4e2507, 0x1307bce9, 0x00cfdbc9, 0xc5694f36, 0x60170d74,
+    0xce75b1f4, 0x57afe44f, 0x6e6a4a01, 0x5452fb4c, 0x8a03e7b9, 0x81aad578, 0xd468f9d8, 0xff6e5b26,
+    0x4251e116, 0x215b5c2a, 0x0156fba3, 0x71189b0b, 0x4bd5e8a4, 0x9a4a8ea4, 0xc5f472bc, 0xb6dcacee,
+    0x6202085f, 0x4538d50e, 0xcc9cc1b7, 0x5c19f7ba, 0x539edb73, 0x316dd85d, 0x5d09ae3e, 0xe923b872,
+    0x9700adcf, 0x4e151829, 0x318b23e8, 0xac3a7997, 0x0858b5e9, 0xa2c2ad98, 0x32c299b0, 0x44816f37,
+    0x422b81f8, 0xd9aa6e02, 0x6cbd28ad, 0x223b7bc2, 0x87710016, 0x203d8eca, 0xb8d2d457, 0x3411efa0,
+    0xf8bf357b, 0xbfff1aa0, 0x2f1c1e40, 0xf22afaa8, 0x2f0bdebb, 0x84142ec3, 0xcc4622de, 0xd2318628,
+    0x9a230347, 0xc7553974, 0x665bf2eb, 0x1fe2f7d2, 0x29bfc398, 0xe83594fe, 0x8dd9aebb, 0x8edfc4b4,
+    0x5600af59, 0x8cd23c24, 0x27f91626, 0x61713b8c, 0x18a8cc7a, 0xae90ebbe, 0xd336f77b, 0xdc6e39ad,
+    0x7299335e, 0x27a2245a, 0xb749c33a, 0x7dd43383, 0xeeb83474, 0xa8348f91, 0xdac07df0, 0x675a00a9,
+    0xc4d41793, 0xbc0439c0, 0x7f488926, 0x2cebcb00, 0x90e7f76f, 0xb9be2df1, 0xee281067, 0x83c0fc20,
+    0x355ae1f6, 0x9ae739a6, 0x8acd10c3, 0x1235aef5, 0x8c6cdd27, 0xbfdf1ee1, 0x8bf5f9b3, 0x897c5964,
+    0x36ee129e, 0x7b869a3d, 0x0c7ff9c4, 0xdcdc2129, 0x632733c3, 0x859be0bc, 0xfba945d5, 0x1d06ed21,
+    0x549845f9, 0xebc5935d, 0x0c8344bd, 0x21f3b02b, 0xd9728d39, 0x66d396d9, 0x093550cd, 0xc5cd29fd,
+    0x2e30824e, 0xbb0347d6, 0x0af4fc85, 0xd456cd34, 0x8db2d39b, 0x8a62d999, 0x95315604, 0x41fd67b8,
+    0x035806d7, 0x8f9c2e83, 0x60a2acd5, 0x6837b02c, 0xbc320810, 0xc921bd44, 0x4bb13805, 0x4e5622c6,
+    0x47e06445, 0x6d97c7b9, 0x10cfccaf, 0x7a8a8849, 0xe4d8c707, 0x4ce8deeb, 0xcce94b66, 0x688f66dc,
+    0x920b71ac, 0x0cddc513, 0x4e0a6cec, 0x0ef6035b, 0x51230ef9, 0xd8ef714c, 0xce4235c7, 0x39f2a5c1,
+    0x45a429d7, 0xa07e87b7, 0x43a1d190, 0x2b289e07, 0x0fc93222, 0xf08fa64c, 0x1ce2905b, 0xfd8d4008,
+    0xd4d86584, 0x31d089ab, 0xbf9a30da, 0x448e670e, 0x8274a381, 0xf7cdcc4a, 0x8522b352, 0x9b5b7739,
+    0xe0a98198, 0xb6bf8f54, 0x2538f913, 0x3b3e0c41, 0x6f0bd5f8, 0xcd63a24c, 0x23822227, 0xd6803da5,
+    0xdd6924d6, 0x5b64ec35, 0x9a1ba4f5, 0x14f88ed8, 0xdea2e1f5, 0x12c9dcd1, 0xcf8c9016, 0x7cc4b220,
+    0xe3dcd394, 0xc9dda958, 0x771673c7, 0x47f3adca, 0xbd654a79, 0xfd998b81, 0xcda24b9d, 0xfdddf6ec,
+    0x5f5a4ade, 0x6eb2a5f5, 0x773801a4, 0xd92d18f7, 0x05d55700, 0xa4f8f693, 0x63106727, 0x747fa099,
+    0x53724858, 0x2cae277d, 0xa05848d8, 0x48a19ada, 0x86106fef, 0xf285047e, 0xd6dbbb1b, 0x8a32f9a9,
+    0x188d4ba9, 0x1869b1ca, 0x0831c1fd, 0x3cb758ff, 0x7c7f027d, 0xb4a30f1e, 0x77ecf3bd, 0xb423bd69,
+    0x7f7bd36f, 0x8a89dcf8, 0xef766b3e, 0xddc157e0, 0x506929c8, 0x0b980e53, 0x017582cc, 0xa2b359a6,
+    0x912ea653, 0xc54fa8de, 0xf3c2911d, 0xf1da8272, 0x30bf119a, 0xec058a6a, 0x62baf41f, 0x7141e0d3,
+    0xcb62bf97, 0xab2e6c78, 0x837e40fa, 0x299eb998, 0x90d2c2e5, 0x8ebc8472, 0xd846b8cd, 0x27eaa41b,
+    0x79d5a83c, 0x725fa7d5, 0xac71873f, 0x597c285c, 0x8a552f8e, 0x5043110f, 0x4c2fe90f, 0x5c958645,
+    0x3d72baf5, 0x1a52cd0e, 0x8f0d8589, 0x85153d18, 0x81c18e19, 0x0dacc562, 0x403d6e9d, 0xf5c8f313,
+    0x0da8f55c, 0x0d0d4cdc, 0x3ccc7b18, 0x7faa2126, 0x091fc636, 0x1b30a2ff, 0x411bd773, 0x6970eb83,
+    0x13730991, 0x8d6a4954, 0x72881b38, 0xf9c6a82a, 0x510c85f3, 0xc54c1f96, 0x1d5a7a54, 0xb446777c,
+    0x8627f25c, 0x81fbfccb, 0xaa23fa4f, 0x223fba7a, 0xce07eee3, 0xb58cb527, 0xb49dfec9, 0x70771c8f,
+    0x70c5bcce, 0xddc4b3b6, 0xa1f62109, 0x3a584cf1, 0xff5c8877, 0xe3a46143, 0x31cb2e7b, 0xed308d12,
+    0xf9476049, 0x4d609086, 0x86829999, 0x1f874f86, 0xd7f37ccd, 0x7e714832, 0xc224ef7e, 0x64681362,
+    0x0be11c01, 0x87ce7f0e, 0x6410273f, 0xc8bbf5d2, 0x126f948a, 0x9a3830fb, 0x7832814d, 0x5cf67056,
+    0x873b7e74, 0x4bf37aa6, 0x69395524, 0xc98c2d38, 0x6d33a159, 0x86375f0b, 0x56dc47c6, 0x8f342a9f,
+    0xa7b7acc5, 0xc6bbd7d2, 0xd84c2511, 0x9a8f5af1, 0xc248d000, 0x11c7eea6, 0x11001301, 0x539e160b,
+    0x0fee3dea, 0xa69fc08d, 0x318bca4c, 0x065df6b2, 0x51913857, 0x1745a0af, 0xb2c54075, 0x16cb143a,
+    0x00000000 }, /* 10**00000000000001905364105417475727161619402949930606536009608560163055944309667\
+                         74009505543198585212421026798308836130360530463953040948208494609331560382464 */
+  { 0x00000000,
+    0x40000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5,
+    0x6404173c, 0x2ce83328, 0x7ef4eea8, 0xf9d1f125, 0xf55b1d68, 0x5eb0a1af, 0x72402b2e, 0x52a67f8a,
+    0x00000000,
+    0x8802663e, 0xfb938430, 0xe0baaf73, 0x677beb15, 0x3477c2ca, 0xb98c4b79, 0xd3b737ab, 0x6870c3db,
+    0x866f5b7c, 0x4e1aabf3, 0x84a1841c, 0x7ef39494, 0xdb912381, 0x55870696, 0x840ec02a, 0xf8414c0f,
+    0x7c2627a5, 0xd14f7dec, 0xca356294, 0x86b73c3a, 0x0a4e3958, 0xb99ee9cd, 0x368834f6, 0x93b9bda5,
+    0xfba46c97, 0x2d1cf5db, 0x16751703, 0xa9e2a5c2, 0x92d79ad6, 0x2ab922a7, 0x5b74ca91, 0x171ceb68,
+    0x403200c6, 0x00b5226c, 0x31c88a94, 0xe7a1360b, 0xa9ae0234, 0x8c00cabb, 0x695f4a9c, 0xfed6e5ec,
+    0xc5e95937, 0x155801d3, 0x368bf199, 0x1c382cdd, 0xafcdeae5, 0x7f79951a, 0x60d1997e, 0x063dcd37,
+    0x699f2714, 0x99b3ab16, 0x04075f1f, 0xccaedf1c, 0xc91edd37, 0x08cdc5d4, 0x09cabaf7, 0x4174e640,
+    0xd99bf1a6, 0xca6dad51, 0xb0bde5c9, 0x38370047, 0xc02ae347, 0xd61772e0, 0x3c6e00c2, 0xec6c8086,
+    0x72ad1df2, 0x479cd79f, 0x2075787d, 0xe8ff9dfb, 0xa61afe47, 0x8d471666, 0x639a2285, 0x572e2607,
+    0x64a26a7a, 0x08d3584c, 0xde75bbca, 0x28408ee0, 0xab63b558, 0x24bc53e4, 0x7631f819, 0x172db85e,
+    0x50f8d2e9, 0x4a91c780, 0x6c84f2e6, 0x108f24e4, 0xdf6ffdec, 0x3418b12e, 0xa3355cf9, 0xfbb37f8c,
+    0x41e4a9a1, 0xba8ab0dd, 0x7756df77, 0x99ad293f, 0x7754bde4, 0xdcdcebd0, 0xfee8758b, 0x0eae9961,
+    0x8b08e0bd, 0xc79a3de1, 0x6e325f3e, 0xbf9a91b3, 0x1564b291, 0x5dcba388, 0x88064fcd, 0x0264536c,
+    0xc707034b, 0xa2b18e76, 0x76f334a6, 0xd0258bb0, 0xc0cc7775, 0x7d984a04, 0xd6d12173, 0x578b09a0,
+    0xf0a9c57e, 0x20f3d0f6, 0xe68e73fb, 0xbdf83c05, 0xaad361f6, 0xd91e8e8f, 0x0c4a546f, 0x58f0eeca,
+    0xa88004ab, 0xc63777b1, 0x619b79be, 0xeba3b30b, 0xaea5ab6c, 0x9cd9928f, 0x00f6c30e, 0x668059cc,
+    0xe510d999, 0xd3d4a613, 0x152e0422, 0x36ee30be, 0x7ee76ff7, 0xc61f3447, 0x7570c322, 0x202b2683,
+    0x74d5d455, 0xc72233ac, 0x40da4589, 0x47aa075a, 0x23ed0949, 0x6f7c4bcc, 0x38f625cc, 0x70d382b7,
+    0xe95bd908, 0x2ee12965, 0x3c5d601f, 0xc78839cd, 0xa66e6775, 0x8032eac0, 0xa1fbcc80, 0xeef826b3,
+    0xe34571a8, 0xb0576c34, 0xd718f422, 0x4c043458, 0x1e904b00, 0x691ddb56, 0xc70f6402, 0x4c5a88ad,
+    0x4193aae6, 0x22b26304, 0x632e3bd8, 0x995a568f, 0x4de3982d, 0xc8dc435d, 0x3eb38202, 0x1e536b5a,
+    0xae478da3, 0x8e6d3c55, 0x73abdcfa, 0xb28563a6, 0x96555012, 0x13a40c91, 0xea8ea282, 0xf8e2a1b1,
+    0xa7c9a326, 0x6f2ec57a, 0x94899679, 0xd5e4d5a3, 0x85e5602d, 0x86416132, 0xa0888dfc, 0x7895c14b,
+    0x98c1b00b, 0x775d5d9d, 0x243bc3f1, 0xa35dc2fc, 0x52fd566b, 0x413bdf68, 0xd2a57ca0, 0xd7588765,
+    0xe663cdcf, 0xe6b1b0c2, 0x0ca07052, 0x00beca50, 0x1b53d509, 0x51936649, 0x3bdbcab4, 0x254f97cd,
+    0x6a4be4b1, 0x7a7d1513, 0x5034293b, 0x41a2271d, 0x30979095, 0xf7a75427, 0xba64df81, 0xea4d08ee,
+    0xdc6ab910, 0xf3e9d87d, 0xd972f11d, 0x19801809, 0xe660fc72, 0xd05ec149, 0x71da47f2, 0x1b684dc2,
+    0x697204a4, 0xd701a01c, 0x8f2cfcca, 0x95c7c62a, 0xc26fbdcd, 0x6ce0ab10, 0xb6cbcbb8, 0xbfc0e063,
+    0x01264683, 0x48e72811, 0x6445693f, 0x21a2240a, 0x68a34198, 0x5e591a95, 0xeb6737d8, 0x8e235225,
+    0xca19d95d, 0xd59396a5, 0x8f2e53ba, 0x0a2fe918, 0xe16c722d, 0x51746c0b, 0x6cc5890a, 0x1ae1e884,
+    0xf86d5c55, 0xa179391a, 0x5c7d4cde, 0x83b699a7, 0x8e2fbca1, 0x65cf4161, 0x27eee625, 0x9226ba3f,
+    0xda8516b8, 0xf6e7cc1d, 0x743882f3, 0x86c828e2, 0xcbfc39c4, 0x471f2a66, 0xd19fe2ea, 0xc4f29a07,
+    0x51dda46f, 0x2c831287, 0x69d67734, 0x2fb775fa, 0x5a43cdc3, 0x8fe358e0, 0x703730ad, 0x0476c16c,
+    0x74260e53, 0xc2bc9caa, 0x5266d8a2, 0x8eb40da5, 0x2ba8a14b, 0x3787508e, 0xe350e49f, 0x4b51fd4e,
+    0x05fceca7, 0xa30a1249, 0x925791ca, 0x743c9b96, 0x81d036b4, 0xaa387905, 0xd882dc3c, 0x435821ee,
+    0xf1f252a0, 0x0b87a7b9, 0x831d5b18, 0xcdf4e8db, 0x18db4322, 0xea8216c6, 0x6d684ebf, 0xedee5de8,
+    0x1ccee910, 0x1cde3d70, 0x31210ce5, 0x76a788bc, 0x835efb14, 0xaa87e277, 0xcea5f1ff, 0x2174de60,
+    0xd900c560, 0xfb3ddcbf, 0xed2ad97d, 0xa9eb2172, 0x8d3f9b9a, 0xb662d7e3, 0x74ac00da, 0x7bdf135b,
+    0x8acf63cd, 0x6e9ab855, 0xda08e713, 0x511d2d89, 0x91976932, 0xda203af4, 0xb4e7d58d, 0xa9cf49a5,
+    0x5daacf3b, 0x6aa3ddb9, 0xa6694896, 0x2cdaeee2, 0x8cf3e8d6, 0xbe0163b4, 0xbebecb0a, 0x2527ca09,
+    0x87f3f78e, 0x3a0befca, 0x8df56d31, 0x95c4c0ba, 0x4ef8c50b, 0x12cc0907, 0x313ea65c, 0xe662262a,
+    0xae5abe32, 0xfc956b6a, 0xf23a4b8a, 0x57311a33, 0xb499e2dd, 0x826bcb1a, 0x28dc4474, 0xe6505d17,
+    0xa00fd3a6, 0xca881862, 0xe2734ad5, 0x2f70ed84, 0xd7f740cb, 0x3b9e5463, 0x4b01d61c, 0xc90e538e,
+    0xccd66c04, 0xcb242786, 0x99bafa38, 0xd8c8f8aa, 0xf38e18ee, 0xcc9efa06, 0x4213464d, 0x873b8208,
+    0xe5b2b564, 0x64093a6d, 0xdd15fba7, 0x8493b75e, 0xf4702d89, 0xc87ca077, 0x536fd82b, 0x45354ac1,
+    0xb6b11ae2, 0x4c59f377, 0x8b8f9a1d, 0x7f16b251, 0xac37f82f, 0x9fbf438d, 0x8749ebde, 0xa9ab0146,
+    0x9bea70e7, 0x47518fcb, 0x1b6f4865, 0x4bf228bd, 0x2e25f3e5, 0x69907fda, 0x1414b655, 0x525882c3,
+    0x29e4ee5d, 0xdc0c51ef, 0xc33de1af, 0x0e7ab17f, 0xb6f64f18, 0xca9b237b, 0x82460a10, 0x2e942312,
+    0xe0aaf3df, 0xbb4bc542, 0x3be47843, 0x70a0ad03, 0xa24899fb, 0xe61bcdb0, 0x3e6a09e4, 0x7b10e68b,
+    0xfaf754ec, 0xc2a29b94, 0xe79467f9, 0x4fc1ae28, 0x92459334, 0x58512482, 0x20dcd675, 0xc5ec6ef5,
+    0x378f5ddf, 0xf4e93d62, 0xf4ef8056, 0xf42f9426, 0xcf8179b9, 0xea8e1ea6, 0xe97a91c5, 0x1a96ec98,
+    0xa964ea2b, 0x883677f2, 0xfb415401, 0x33a81705, 0xe5949d6b, 0x625c065e, 0x5e38a9fb, 0xdb17bbfd,
+    0x815589cf, 0x6a6c29eb, 0x51f370d1, 0xd0f0a7c4, 0x10099225, 0x9747a16d, 0x5665d3b2, 0xca26e5e6,
+    0x47474596, 0x9e4b1396, 0xb1d396ee, 0x4d921469, 0x8f546fb4, 0x4a38e04d, 0x8d116b71, 0x70b11ab9,
+    0xe4f02edd, 0xe840df99, 0x7939c2c1, 0x033b7d86, 0x086edec5, 0x8b15919c, 0x216cda12, 0xb479c09b,
+    0x3d79d65d, 0xc208217d, 0xb92711ba, 0xe1d91373, 0xcfa69c8d, 0x0a964d6d, 0x257f1669, 0xe589a9c3,
+    0xe7f0e120, 0x0705cc38, 0x262b1545, 0xbd37d74d, 0xb5161fe1, 0x68e9a140, 0xe7623f9d, 0x97a0052e,
+    0xeb40dc21, 0xeda047f3, 0x8982bcad, 0xddd2a06a, 0x2e37b3c3, 0x6d5aac5c, 0x25a2cf34, 0xb1cccdc0,
+    0x5b9dbafc, 0xb9dc6a65, 0xe514d1a6, 0x4c62de1f, 0xe059beaa, 0x83d82437, 0x6e1b3399, 0xa062b326,
+    0x9eae4c30, 0xaf585f52, 0x28608914, 0x4c4b89f0, 0xd03463d4, 0xdec3186c, 0xbcd55117, 0xe478287d,
+    0x4e77285d, 0x398c42b4, 0x5ba08a49, 0x2be78489, 0x9b774b14, 0xa1d445cc, 0xfa08c3bd, 0xcb75b8f5,
+    0x59aae4a3, 0x1104bd0f, 0x2f541542, 0xfbd8cbd7, 0x4f4b5cef, 0x25ce837a, 0x7dbf8cb8, 0xb3f578d8,
+    0x4ac05a68, 0x1cdba4f3, 0x8aa40580, 0x22c2ddde, 0x28e0656b, 0x0420a502, 0x8d2cbb95, 0xc7034219,
+    0xa2cd8218, 0x8aa6c3f5, 0x5756b27b, 0x12014ab3, 0x8f3e5183, 0x729ff43b, 0xf43d4771, 0x6849a52d,
+    0xcae1e9b2, 0x00622007, 0x871a623c, 0xe2cfc541, 0xc0d49715, 0x93d93adc, 0x0555e254, 0x79242291,
+    0xd69269bd, 0x034c3334, 0xba5aac47, 0x4575fdc6, 0x0ab3fae8, 0xa45e79c6, 0xe57d168d, 0xa7bff356,
+    0x844f959c, 0x8beec143, 0x8946d984, 0xa3c9761e, 0x9d1d4ec9, 0x173f643e, 0x541cec59, 0xf200b41f,
+    0x8316b87b, 0x9075b582, 0x0cab9e01, 0xef31255f, 0x91e36ec1, 0x6a6a66aa, 0x991a5948, 0xc4678d91,
+    0x8cecc2e8, 0x04f305a8, 0x8dfbf808, 0x25d2fd57, 0x65c3fefb, 0xafc41668, 0x3c67699a, 0x7886ce46,
+    0xe305d2b8, 0x5afb3865, 0xad0ba4f1, 0x81a71b99, 0xba244fd3, 0x9b5b3a5e, 0x8d788632, 0x1b885700,
+    0x92611bae, 0xd138f704, 0x2a1c7dbd, 0x4efab606, 0x4c535d58, 0xcce236f0, 0x93489974, 0xb4eecb97,
+    0x03b2ee81, 0xf24cb651, 0xc3459544, 0xac1de880, 0xb1d2e2e9, 0xd075e26b, 0x8c2d2ff0, 0x4926442a,
+    0x65a3b15f, 0xa35878db, 0xab5d9528, 0xcc8fb279, 0xcf2e43f6, 0xd6f6e4a3, 0xb89c8a44, 0x81398dd0,
+    0x7eec7d53, 0x33e64feb, 0xd027672a, 0x921ffc87, 0xd1dccf59, 0x6e8f5dee, 0x312427f2, 0x0d0bec5f,
+    0x4c679193, 0x27ffc14b, 0xe6bc20b4, 0xf2b3852b, 0x7131318f, 0x5b28712c, 0x4d4e70c7, 0x751d9e2c,
+    0x4ce482c9, 0x7552d31d, 0x311baa4b, 0x7c04f265, 0x23566ec3, 0x5ca4422b, 0xebf5d675, 0x3e5ce7f0,
+    0x760e27e4, 0x57b31e35, 0xf138e121, 0xf93a3a86, 0x11feb7bb, 0x73ede7b4, 0xd7de201f, 0x09dd1ea0,
+    0x222dc01e, 0xafd1e3fd, 0xab684f07, 0x06682961, 0x2ce554ed, 0x0a5689f3, 0x0ed736ab, 0x65177c6d,
+    0x07a2eca7, 0x4a3fa8c1, 0xc492191f, 0xeaa13587, 0x2cdc06e7, 0x2c796ae6, 0x0b68816b, 0xe963a779,
+    0x52d484f9, 0x0cf14802, 0x22762d28, 0x582581c3, 0x4d8f58cb, 0xae15714e, 0xd80e4f2c, 0x93f10076,
+    0x10daa4f5, 0x2728b7f4, 0xcdb8cbf6, 0x5823cb43, 0xdf306c7b, 0xe68202ac, 0xc6aabef8, 0x501f6d1c,
+    0xd9a21bbb, 0xa1560d15, 0x3395b109, 0xa2e97ff7, 0x60ffe60c, 0x6b473710, 0xfca8689b, 0xff369ddb,
+    0xeb34b945, 0x84903843, 0xda913de2, 0x6de506f7, 0x2ab18d78, 0x36220a5c, 0x905f641e, 0xcdfd870d,
+    0x2b757142, 0xa6fc793e, 0x7572f399, 0xe3488601, 0x63bee117, 0x9f9a033f, 0x7685b1a9, 0x9ec3edf4,
+    0x640fe30e, 0x0f861994, 0xf879ee3e, 0x8d0758ca, 0xe36494ab, 0x49a78a10, 0x28a9f7c4, 0x75dd1fd2,
+    0x06808546, 0x2a85b0b5, 0x7d3c375b, 0x41003cec, 0xadb97988, 0x9b1ee034, 0x8403d485, 0xb24185c1,
+    0xe3dd6f46, 0x5cc44ef5, 0xea2e3ec9, 0xe9257600, 0xa7eade13, 0xa5568f35, 0xb5be08a3, 0x7be96938,
+    0x647b3501, 0xbbf05815, 0x7273952d, 0x0c4cd4fa, 0xdbd8b9a1, 0xb31894a3, 0x7337717a, 0x493e5a13,
+    0x00250f36, 0x10147e93, 0x5777e995, 0x5339d228, 0xb76e4f6c, 0x72c0bec0, 0xb5323256, 0x543494a3,
+    0x6ee0614f, 0xf2ccc95f, 0xc176a84b, 0x0e90245d, 0xb9ce33b3, 0x777205cb, 0xb251d31d, 0xfca2489c,
+    0xb5656da2, 0xda183860, 0x9d4da1df, 0xeaacee04, 0x1a2e634f, 0x64b61033, 0x0cb775f9, 0xb6b763f9,
+    0xafe0fe27, 0x7cb0bfb6, 0x4540c57c, 0x0165a929, 0x07b70b53, 0x260c63b6, 0x7a89e874, 0x4a7fca35,
+    0xf9cae06a, 0xf158251a, 0x236541c1, 0x64984680, 0x8d04024e, 0xd712d592, 0xb2548333, 0xcdea01e0,
+    0xede0ef4b, 0x5d91cf98, 0x0cfeef0f, 0x0b628a14, 0x28144f72, 0x02f7bb58, 0x328b5fe4, 0xcee6f398,
+    0x0a50419f, 0x36000649, 0x7f37e43e, 0x31bb72dd, 0x30d960e3, 0xbcd95cec, 0x7f9435b0, 0xf369914a,
+    0x0927f926, 0x93ee7593, 0x4a8f0b3d, 0x68d1f352, 0x0965b39f, 0x05d41f7a, 0x989ccf47, 0x12016b5b,
+    0x457507c1, 0x609121fb, 0x6beea67b, 0xa32b4e5c, 0xd49db6ff, 0x97a9516e, 0x0784fa28, 0xe9016338,
+    0x9ad17199, 0x9ea94e47, 0xddb18316, 0x19010ebb, 0xdfcb2da3, 0x89a8afe1, 0x9e746084, 0x716505f8,
+    0xc2f96d89, 0x0058e699, 0x45c1e1b9, 0xbf7cf023, 0x0d3943bb, 0x7c2a5683, 0x6cf7b6d8, 0xcb790ed3,
+    0xf8edd64e, 0x20cf27b2, 0x957023e8, 0x6b54ab6b, 0x24bbe72c, 0x95ed93dd, 0x6ad87926, 0x8a73788e,
+    0x3fbab6f8, 0xbff1da6c, 0xd4ff67eb, 0x7b4f96b2, 0xee79dea0, 0x6cb34556, 0x634d2a89, 0x4868ecc9,
+    0xd7ff657b, 0x8bb301c2, 0xdf53cbf8, 0xc3f62ec4, 0x33eea766, 0x47fbc849, 0x7a799af3, 0x0b92a4d9,
+    0x08f81354, 0x268b0a91, 0xd9f1e3a2, 0x30dd1d28, 0x99af770b, 0xfd6b6a3a, 0xe7439925, 0x2ce43208,
+    0x0f009e1f, 0x29d48127, 0x5ef58b7c, 0x8ca5668c, 0xc18db8b7, 0x19bb152e, 0xa4905d3f, 0xdf1f6e4c,
+    0x2290c1f2, 0xb7168558, 0x650f2901, 0xc89494ff, 0xfd60ea8a, 0x38ac84fb, 0x3e7449e8, 0xb01be8c3,
+    0x10a79b2e, 0xb2bc3909, 0x8d8dce1b, 0xaff8e84f, 0x163098ac, 0x5783db7e, 0x74a60e22, 0x1329c154,
+    0xc696b3a4, 0xd778dc06, 0xc66f5fb8, 0xc1240f64, 0x76bb2625, 0x3711303b, 0xc4fc9259, 0x6602c2ee,
+    0xcaf10117, 0x77c838e3, 0x55e375dc, 0x4115be4b, 0x0fbb9a0b, 0x9d6d02c2, 0x26df9d26, 0xc6d47fd4,
+    0xb8ce82b1, 0xbe7a613b, 0x30c98030, 0xdb12fc6e, 0xb49eb52a, 0xc2a3d2a9, 0x5c26bc04, 0x5042bf9b,
+    0x0bd2f288, 0xe34a0871, 0x40800d35, 0xc48a974c, 0x17e49d57, 0xb36b98aa, 0x443af7ec, 0x58da6543,
+    0x071c5ffc, 0x1f8dfd8a, 0x2b97a244, 0x9744a29c, 0x1dc817dd, 0xcb96e9dd, 0xed77b6eb, 0xf4bb9162,
+    0xcddfc7dd, 0x4f99a097, 0xbd501d5e, 0x16d283fe, 0xa22cfe5e, 0x130e964b, 0x561c3fad, 0x873af800,
+    0x2126d9cb, 0xba7243b8, 0x804fdb2a, 0x75d944c6, 0xf1143dec, 0x94e95b66, 0x138803dc, 0x8ff73521,
+    0x7c3aa5e7, 0x337dccbe, 0xea0e4164, 0x9692cfd3, 0x7a510b73, 0x5839619d, 0x1b1deabb, 0xbcfec6ef,
+    0x3e7c7c9f, 0x99c5eec7, 0xbff31352, 0x07899975, 0x4bd71b53, 0xf21ca98f, 0x58ac5391, 0x20b1f6b9,
+    0xd3a49bdf, 0xc403c98e, 0xbe8eb271, 0x483c0214, 0x399a164f, 0x498df9cb, 0x666eda55, 0xf0f8127d,
+    0xdee35c33, 0x3233eee9, 0x6f9bd3b0, 0xe0d658c3, 0xf3b2b101, 0x85c532f9, 0x464efc72, 0x9e8d8018,
+    0xab9fe0d5, 0xd7469be8, 0x8ffd067a, 0xdb1c0aef, 0xf1f51fcc, 0x8de61fe3, 0x3f43f1f1, 0x40efbf83,
+    0xf87db6dd, 0xb27fc10c, 0x91fc2616, 0xc1fb04c3, 0xf7fcbd2b, 0x9c8b1299, 0x7c6f1a27, 0x9b280d00,
+    0x9acf8492, 0x59084058, 0xdb33eaa5, 0x6b2db73e, 0x803fda21, 0x0bd11858, 0x139e75a0, 0xd61b8079,
+    0xe6cff06c, 0xee54dda9, 0xe8171bfa, 0x247d116a, 0x33d30b97, 0x3ae143b3, 0xe0a652d9, 0x350a078f,
+    0x2588e349, 0xc9a67028, 0x90eec3ae, 0x4b833c38, 0x2fea2395, 0x263dca1c, 0x4140cd72, 0xdd376e73,
+    0x89ec4e07, 0x500ed3d4, 0xf79a654a, 0x69b5ab8f, 0x31923bd9, 0x20c178a9, 0x7af17bd8, 0xdd26d52c,
+    0x5c5ca734, 0xa537e201, 0x6a6c0cae, 0x9939d167, 0xb55309fc, 0xec0d8d52, 0x7e664011, 0x6ef40f8f,
+    0x29628aa3, 0xb7bc87bd, 0xca6e44a1, 0xd8ea2138, 0x79d32a6a, 0x2627108d, 0x6f998af5, 0x74fbe738,
+    0xcd54a2d4, 0x8503673d, 0x900c0d72, 0xf6fdcd0d, 0xbf4f5594, 0xc3c3563f, 0x73ed03c7, 0x975868dc,
+    0x00000000 }, /* 10**00000000000000952682052708737863580809701474965303268004804280081527972154833\
+                         87004752771599292606210513399154418065180265231976520474104247304665780191232 */
+  { 0x00000000,
+    0x40000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da,
+    0xb2020b9e, 0x16741994, 0x3f7a7754, 0x7ce8f892, 0xfaad8eb4, 0x2f5850d7, 0xb9201597, 0x29533fc4,
+    0x00000000,
+    0xba98cdca, 0x4ba5365c, 0x65125bdd, 0xb1b8e6e8, 0x486eb0db, 0xf7a2ad8d, 0x3b1cdd26, 0x9243d051,
+    0xa5e10c12, 0xdc670dcd, 0xab8a7938, 0xac5237ea, 0xcd0122a1, 0x368fd14e, 0x925c9aa0, 0x5a200337,
+    0x552f8c54, 0x5bd2082b, 0x0c9c0d94, 0x92a29168, 0x02706329, 0x07dbd8e2, 0x191226c5, 0xe3e84395,
+    0xa2e41164, 0x0ba2287d, 0x7effaa0c, 0xd8e8a3a6, 0x82fe8434, 0xfe7309a0, 0x8477f042, 0x9f03afdc,
+    0x67cd6c87, 0xa9c24bf1, 0xb79810f5, 0xc91d50ef, 0x10c6af6c, 0xf406e5e4, 0x94bd4427, 0x1e330ca6,
+    0x9331fad0, 0x9df05e65, 0x3387ab43, 0x4fa3e254, 0xc11a2367, 0x091de299, 0xdce21d5d, 0x700dbcfc,
+    0xad976f6e, 0x5536668b, 0xc6a71966, 0xf974e88d, 0x0bc8ddb4, 0x08c684b3, 0xcd74b745, 0x5d2768b3,
+    0x47994b15, 0x93aa8ee3, 0x77c8c8df, 0xda029a17, 0x774df300, 0x3ba549e6, 0xcb598e80, 0x7d863d5a,
+    0x896b910a, 0x44616a44, 0x777f57e9, 0x51c77bf2, 0xfb003211, 0x5d18fa69, 0x5b106ad9, 0x842ac2bb,
+    0x67611607, 0x25a75377, 0x2c3462dd, 0x6b234439, 0xb2876fc0, 0x1032405d, 0xc28906b7, 0x477944f9,
+    0xcb9483e1, 0x4b55a85b, 0x6a4b4592, 0x0f724e67, 0x0b1c7685, 0x95c21842, 0x13e0db84, 0xce901e78,
+    0x494951f8, 0xba498f01, 0xbd0dd3c0, 0xa3598111, 0xfe6af929, 0xed5508c8, 0x37ea087b, 0xd99ec724,
+    0x46467763, 0x844f3acd, 0x0b90825b, 0x4345c899, 0x6c28f2a1, 0x33376abd, 0xbb590c3d, 0xbcd2565b,
+    0x6954dc83, 0x2fb56fd9, 0xb189864d, 0x378f925d, 0xc99538e3, 0x7341d5c4, 0x5e91a291, 0x5d9aea16,
+    0x40c3303b, 0x5ee1ea7e, 0x47164b20, 0x55c60299, 0xf92f654f, 0x86d3fb9f, 0x40aa99ef, 0x4224f5b2,
+    0x31de04b0, 0x41f20d61, 0x7485569d, 0x4e7619bf, 0x0126919e, 0x186117de, 0xd7ad0e5b, 0x3f0a29cb,
+    0xa2bc3c58, 0x0ad65bee, 0x6b9d9d43, 0xee4fa49b, 0x94ff307a, 0x7ff4d8fe, 0x6c83fd74, 0xb851b80e,
+    0x3bcc5368, 0x2755407b, 0xc8ae3c59, 0x43a51bbc, 0xe39e51f7, 0x0dc94c86, 0x7646a66f, 0xc66a74f9,
+    0x8aec867c, 0xf2f3fd0b, 0x2d42d7d5, 0x8a0d1af2, 0x6f5eaa70, 0xa7b9f3bb, 0x6a429365, 0x545a413e,
+    0x8c847328, 0x62dafb58, 0x2a04a510, 0xd7e5f698, 0xb1e8563a, 0xe6671423, 0xab80eec8, 0xc2b5039b,
+    0xfaef611b, 0x712d579a, 0x1b1a56d4, 0x18bee5bd, 0x8905b39a, 0x1bfa0462, 0x014d534c, 0xf8a3aa45,
+    0xc0fc8fc8, 0x3a399d36, 0xf0ab6a69, 0xdc46e08b, 0x8f35e64e, 0x2e0b52ce, 0x397b2b34, 0xf31c7577,
+    0x287e4b4a, 0xf5200d68, 0x6619d597, 0xec12ea1c, 0x36eac38c, 0x1844a67e, 0xf668ae3d, 0x7809cdee,
+    0x1a6392db, 0xfca58afc, 0xeebf4ea1, 0x7eb957a4, 0x2dc0d9cf, 0x61ab057c, 0xd8e6eb62, 0x935be7ea,
+    0x47d6f462, 0x7e2c26bc, 0x26fc3c50, 0x4326505e, 0x55e73315, 0x3814d5ba, 0xe20d9f55, 0xda9f1452,
+    0x56024ff6, 0xd82797cc, 0xfc58394e, 0xd6a1f811, 0x5c6b552b, 0x531430e5, 0xfcd8e44a, 0x5990d578,
+    0x1ef3ffa5, 0xf8b65220, 0xa9718811, 0x13327d90, 0x7adde0a1, 0x33ad3feb, 0x480bc808, 0x34b7b393,
+    0x80e5de02, 0x63a04931, 0xaff36e9b, 0x4659c860, 0x683c3af5, 0x5532d685, 0xb48a92d1, 0xc32f45b6,
+    0x502b0530, 0x07fcbd66, 0x8ab930b8, 0xae14e91a, 0xeca966a9, 0x512dbd5a, 0xd6cfc6be, 0x3f711dbe,
+    0x3008a9a4, 0xf865defb, 0x1549dd10, 0x65740335, 0xd3944a44, 0xcd814211, 0x1740958e, 0x79c9e7cd,
+    0x6317c5d1, 0x1aad8290, 0xad279fb5, 0xe5fe95c5, 0xf5c4067c, 0x3efd565e, 0x2e97c933, 0x0238915f,
+    0x4b4938cb, 0x607bc8b2, 0xcc77cfbe, 0x6e54480d, 0x720d7f49, 0xdb79cf63, 0xcdca2b1e, 0x1b2d7db7,
+    0xe9cb8cbe, 0xe324dd64, 0xed8c0e03, 0x3c0409c4, 0xdcd296e6, 0x67886753, 0x29ceb0ec, 0x2633c838,
+    0xf399b1ce, 0x9373c709, 0xb4866b1c, 0x13a8371a, 0x60884688, 0x412efd2d, 0x6c635646, 0x1746a8cf,
+    0x0ef2f4c7, 0xcfe2ee0a, 0x4c6efe9c, 0xfef6c6c0, 0x1e14887e, 0xd50976ea, 0x2705fb6f, 0x9574b015,
+    0xa8486d62, 0x764dfaae, 0x87b3a52a, 0x92c9843b, 0xb4e42887, 0x2fd99620, 0xd03917bf, 0x5d1aab13,
+    0x96fe7c03, 0x66cb7fb8, 0x4871e6eb, 0x0177461a, 0x703e0544, 0x945bf9f9, 0xa45c7739, 0x3da5e79a,
+    0x80cd0fb7, 0x1291b3d8, 0x335c4efe, 0xca8ac70e, 0xb20b487a, 0x7f40c063, 0x7c04a031, 0x6626ea93,
+    0xd6bdcf95, 0x4153280d, 0x95e9821c, 0x21148fc0, 0x1f2cef54, 0x5ff5083a, 0x1cc61d33, 0x1bfbf1fd,
+    0x73a2bd26, 0x4234f9ac, 0x2d009d44, 0xf6d5668f, 0x49f6237b, 0x5115fa7d, 0xb5eb3dda, 0x41edd198,
+    0x38b16f1e, 0xe823004c, 0xabb3cbe1, 0x968616d9, 0x6a6cff4d, 0x620e4421, 0x7cad5cdd, 0x8247af5f,
+    0x99516c4b, 0x64b3da9c, 0x03260e9e, 0x03868bc6, 0xc9235546, 0x8f87c151, 0xa4af5aea, 0x6d32a8e9,
+    0x49666078, 0xb4d59f6f, 0xbc78be62, 0xcf8b2ef8, 0xfff1a94b, 0xbc05b00c, 0x77dc6042, 0xee276f58,
+    0xdc245bc8, 0x56b94bac, 0xec7bed82, 0xa0bfafe5, 0x99c84e51, 0xdb666024, 0x118061ae, 0xda349156,
+    0xf780f4e8, 0x2ea697d8, 0x715707f1, 0xc44cceaa, 0x868dafc5, 0x56718274, 0x90ab1d0d, 0xdfbba449,
+    0xb2fe1c31, 0x3e21fabb, 0xad325367, 0xaf1cec23, 0xf0c33e9b, 0x7527c8b3, 0x436515c7, 0x58bdbd8c,
+    0x20ba9c31, 0x06a4454e, 0x9c92d308, 0xddd704ca, 0xafb31ce0, 0x2c0df8da, 0xffea300d, 0x01a7ba39,
+    0x2db29532, 0x42aed12a, 0x60234da1, 0x308ecc06, 0xf353d631, 0xc1600a7e, 0xa344424f, 0x40d2547e,
+    0x1e88b124, 0x8ede8a73, 0xcbc8a8a7, 0x0c510368, 0xc85eee7b, 0x305dc900, 0xef8d6145, 0x1104ea6d,
+    0x78f61080, 0x9462f06b, 0x39ecc1f8, 0x3d31494d, 0x4c3c2bd1, 0xb3be82ce, 0xff969882, 0x88a50d39,
+    0xaaa717d1, 0x3b3c4384, 0x87af5ca1, 0xae5899cd, 0x1a87ec10, 0x331c71f7, 0xcfafef74, 0x7d4f0cf7,
+    0x2e1864a5, 0x7a61d4ee, 0x41ab722a, 0x82106e21, 0xecfdd5b8, 0xadbd99ed, 0xc43ca7e4, 0x82f53cd7,
+    0x016e3581, 0xf7abe36f, 0x4b3a4cfd, 0x43c86a95, 0x031d735f, 0x1285e149, 0xc8c01ce0, 0x9bd1c389,
+    0x48dd6361, 0x24d9b949, 0xc8d58cfc, 0x1b667797, 0x242293e2, 0x2b42809a, 0x429a1ee9, 0xb24f8229,
+    0x665b51f4, 0x1d2993ae, 0x99ca8b2d, 0xf299eaf6, 0x4b86922e, 0x325d5f58, 0x6f2c4e0a, 0x2f0db860,
+    0x636a85f4, 0x2d3fa472, 0xf458bf3c, 0xdda65b0b, 0x57e05229, 0x2c5b1b41, 0x9016d239, 0x95990870,
+    0xf37bb16f, 0x9b2fe2e1, 0x2b071f45, 0x7e8e6521, 0xcfe3bdc4, 0x2b679304, 0x610c4ada, 0x47f16029,
+    0x34d17103, 0xd9e197bf, 0x1899c2b8, 0x72ee7b73, 0x9cf53718, 0xc61b250f, 0x57d96516, 0x04f8c87f,
+    0x717f8458, 0x1b51873c, 0x8b209745, 0x83aa1e9f, 0xe6cc0783, 0x550d9167, 0x874ae2da, 0xb7907020,
+    0xd473012f, 0x408eaa20, 0x8ca34340, 0xa97cd03c, 0x43c80298, 0x188b078a, 0x6c384c91, 0x2172d961,
+    0x76608090, 0x0be10bc4, 0x5681b000, 0x5a134d28, 0x6738064a, 0xd836c762, 0x523ac949, 0x6fd1e7f6,
+    0x9f276a4d, 0xcf1b3c13, 0x7c01e87c, 0x30adeb3c, 0x8cf25687, 0x3508e006, 0xa004cb91, 0x685e3efc,
+    0xc3accad3, 0xda057f60, 0x60b8b01c, 0x630ba72f, 0xa83aba72, 0xab405fc2, 0x681835c4, 0x4d515185,
+    0x5271f7ac, 0x0eef1125, 0x69290141, 0x78f33d95, 0xe8bb305e, 0x760c46a4, 0x713f70a6, 0x2fe41732,
+    0xa1cfe139, 0xb078765d, 0xe4ab5ed2, 0x34535a7c, 0x736e3abf, 0x5aec40e8, 0x3e8ef8ba, 0xb4d2d795,
+    0x8b9edb74, 0x04075b46, 0x66c9a2fd, 0x27154b49, 0x7776d3d6, 0x20a267e4, 0x67e4c2cb, 0x75baf972,
+    0x2ab8828d, 0xdb7fc88c, 0x0bb4f35a, 0xf448bd7d, 0xf18ae5e3, 0xf74b93a8, 0x494819ea, 0xe5639c3f,
+    0xc34bae51, 0xc8ab4ad3, 0x8d7698df, 0x5e722629, 0x08b8349a, 0xb7c8694a, 0xbff0e5d5, 0x97d340ad,
+    0x6cbe0160, 0x89367a98, 0x79b9e375, 0xb6927f41, 0xd18580cd, 0x0fea0aaa, 0xd9094783, 0xa34486ca,
+    0xefc1261a, 0xb9123aaa, 0xd29389d4, 0xc740b85a, 0xad4e4e12, 0x0e4dcf11, 0x5f66c6a8, 0x51281eac,
+    0xf4a8f2b5, 0xe30e1ade, 0x3529dadf, 0x211145d4, 0xa47ab295, 0x7add3c6f, 0x32e81fff, 0x32126059,
+    0xe513ff06, 0x61310407, 0x73e74f87, 0x5900a461, 0xeac9c8af, 0xcf79f0ec, 0x8240d3d3, 0x7385eefe,
+    0xbbc8ba6f, 0x7f008ec6, 0xf9650e0e, 0x2428c376, 0xadcd5a76, 0xeb8ea291, 0x4f1bad60, 0x1d44d4a5,
+    0xca84ac75, 0xedcd4d60, 0xdbd75a81, 0xd2f0d5a4, 0xcb877d6f, 0x4dc447ce, 0x711e3b0c, 0x2df15845,
+    0xd65a4d58, 0xfcb28568, 0x4c3eb695, 0x4eabb087, 0xe2921c76, 0xc678b896, 0xae2972fd, 0x24cda5fd,
+    0xc69f5e51, 0x76458794, 0x7a15ea5c, 0xaaabe4b6, 0x95d477f7, 0x03183be4, 0xdda5b8a7, 0xbc842507,
+    0x30062f27, 0xec7006bd, 0x8d06448c, 0x1ac4645e, 0x3c34bb36, 0x0316a704, 0xe8c91df8, 0x57b3ccad,
+    0x46f9fffe, 0xe09635dd, 0xa7dda893, 0xe8da5c09, 0x560aeafa, 0x9688e02a, 0xaffa83dc, 0xde4407a0,
+    0x305b234c, 0x7c596e44, 0xb251c8d2, 0x27c20cb4, 0x12ba2602, 0x0e5fa7c7, 0x99d997cb, 0x94dd6b61,
+    0xb0b119ce, 0x7db2d7e9, 0x47caead0, 0xb0919fef, 0xad279740, 0xe2d43ca8, 0x2db6681a, 0x4c959093,
+    0x6c79b45b, 0xcbe597e0, 0xfa6c5743, 0x723abda0, 0xb7aca377, 0xa42f8388, 0xba4cb3cb, 0xf830d098,
+    0x10030fe0, 0x8a67208a, 0xdc7811a0, 0xb5e2b782, 0x0f83f82d, 0x9c0b4719, 0x2d9728ec, 0x7acdc23c,
+    0xd2d383b7, 0xe8f259ad, 0xae4132d4, 0x2f616c5c, 0xd94b7afe, 0x3baace07, 0x52af6d3e, 0x67c94e79,
+    0xd2128bde, 0xad4c6466, 0x81de6f63, 0x20f3ea75, 0xf4b90e01, 0xaf13c721, 0xacc33c88, 0x65cb3cdd,
+    0x3bb89799, 0x1fa4e518, 0xaac65033, 0x3d476979, 0xaeda4fd4, 0xbfd3f418, 0xc1a8591b, 0x9b5e2518,
+    0xa666093f, 0xc062cfa6, 0x5a0a46d9, 0x22b491d6, 0x5a7c0140, 0x097d99e8, 0x6b904bd0, 0x46b869ad,
+    0xd35e9765, 0x5c6bfe70, 0x78ec65fd, 0x2fe19024, 0x9f1ab771, 0xb5fafcec, 0x95652668, 0x21218dce,
+    0xac8101d9, 0x49747a64, 0xc7d961c1, 0xcc0eedca, 0x70643dd9, 0x67d76078, 0xf20ff275, 0xa158a878,
+    0x0428e7ce, 0xc752b532, 0x7070be42, 0x7f4ef97c, 0x6b793c62, 0x95a2eb27, 0x7adb7350, 0xa35af0ad,
+    0x88f09326, 0x95551af9, 0x1056e00b, 0xf6d8afcf, 0xb6a74172, 0x542a604d, 0x9b05fd53, 0xa4349128,
+    0x7f9c3d8b, 0x7e81ed23, 0xc84cd85f, 0xa21d85ef, 0x9a0ddb17, 0x52a0d6be, 0x13f40d73, 0xbced72a1,
+    0x59f40649, 0x14d8d01d, 0xae3914e8, 0x96cac153, 0xe65abf16, 0xfe55cba4, 0xd15df312, 0xf6fbd4e5,
+    0xe4701e21, 0xd167c864, 0x2c3766f6, 0x2c8562ce, 0x299e5875, 0xead36c72, 0x45307c67, 0xa6a25706,
+    0xc101bf4d, 0x375763a6, 0x88dc4f4b, 0xbe6d81dc, 0xbe466d16, 0xb4e81111, 0x9393cadb, 0x13281b2f,
+    0x32064428, 0x22605b6b, 0xab8e2bca, 0xf2fa9ec6, 0x7c6a2783, 0xc6305ace, 0x7e05459e, 0x2d2a3ba1,
+    0xbd4ee2d3, 0xda37c2f9, 0xc98d281e, 0x7fd704d6, 0xa73c20b1, 0xf327238e, 0x00668a96, 0x9073e856,
+    0x9c2cd52f, 0x7ab7d686, 0xdd0189e1, 0x8e7d7326, 0x25582e37, 0x09157632, 0xa68312c1, 0x33f1f064,
+    0xbe5d9f73, 0xd5e2e76f, 0x541afac5, 0x0ed253dc, 0x95ea0be9, 0x3b9ef9f0, 0x93fe7472, 0xa59202cc,
+    0xef63ed0c, 0x5ca94108, 0x08300040, 0x133c9b07, 0x4d6aa814, 0x719b3ec5, 0x905752c8, 0x76e93651,
+    0x46b4cd7e, 0x4c599008, 0xa5b9e76c, 0x6573f368, 0x828e7662, 0xf3300d07, 0x06f52229, 0x26d24c9f,
+    0x1f589bc7, 0xed3ce08b, 0x2b28a018, 0xe9a80b9d, 0xb4c6f612, 0x5808e782, 0x233bc521, 0x38031eda,
+    0xffb4447a, 0x12f579a4, 0x3d269e8d, 0x7d1a1b5d, 0x0c6ce717, 0x0b14ac70, 0x109d09d2, 0x679d6da1,
+    0xdef651ce, 0x62f8433b, 0x87045952, 0xb3656f77, 0xc20086c8, 0xd1eadf42, 0x64c8f5e5, 0x6482784f,
+    0x70b47a97, 0x1b273cbc, 0xa7178540, 0x01684b51, 0xa2ac5a5c, 0x2d4657ec, 0xd268994b, 0xb2aef58b,
+    0x7d01b101, 0x0e1c48bf, 0x34c73a45, 0x9c3af4c1, 0x28f83a47, 0x8936ddee, 0x8e683e49, 0xd105c929,
+    0x912fdbe5, 0x77c47e5d, 0x6cc5c656, 0x0eda44ae, 0xd807d214, 0x24950690, 0xa0c707f9, 0x56ebba04,
+    0xb844362a, 0x999736bb, 0x72e84e77, 0x841e413f, 0x82823d9f, 0xb0844d0a, 0x4f0d74a5, 0xeb1a1d1e,
+    0xc9bc0990, 0x0a45d0ea, 0x239246e2, 0xad891391, 0xb4f1e6f6, 0x89f72468, 0xd0ea0a12, 0x28536b3e,
+    0x9109d27d, 0xd174db20, 0x5118bf4c, 0x04aa9013, 0x038d79fc, 0x78e3dbc4, 0x92ec1f6b, 0x7eaf8aa1,
+    0x3ddb48d2, 0x046896ba, 0x6a0ed8d4, 0xe0c68847, 0x137a08ff, 0xd17be464, 0x96c5bbc6, 0xef9e0db8,
+    0x2c474d81, 0xd6088e1d, 0xf54ef133, 0x610892d7, 0x2a8c867c, 0x0eb90512, 0x39b03571, 0x8539e14c,
+    0x90971ad8, 0x9340877f, 0xa1f291ad, 0x4db908f7, 0x89ee4be9, 0x1f094272, 0x5b79746f, 0xbf195a4f,
+    0x4ae1b93e, 0xed5a57eb, 0x16b44c6b, 0xa18eb12a, 0x72cf74d3, 0x28d59a66, 0xaa4f4fe4, 0x7e120fac,
+    0xdae8aad7, 0x02b40c92, 0xbb49f11a, 0x27ad857a, 0x2a1fac19, 0x2dff3e7e, 0x24bf2088, 0x1abe5cde,
+    0xa800daa5, 0xceebf995, 0x9d99411c, 0x78026d69, 0xe6cb6357, 0xc568e11f, 0xd5d58a1e, 0x56e7b5f4,
+    0x5dddeebb, 0x86f58fd0, 0x3e1a5b34, 0xf9ca2d8d, 0x3cff63b7, 0xbd5fd49f, 0x0b78bb83, 0x48c420c9,
+    0x8e56388f, 0xf5be379b, 0x50332ee2, 0xb3006063, 0xd4ade8e8, 0xf7ca1983, 0x6c8030c4, 0x96de0efd,
+    0x46bf010f, 0x52a67007, 0x38994a33, 0x4b99c0a4, 0xf04e2be8, 0x0718f078, 0x362f486d, 0xab9fa4da,
+    0x90abeb9c, 0xea6c9673, 0xb6e800aa, 0x4838c283, 0x6446546f, 0x745fa371, 0x81a3627b, 0x8b42d327,
+    0x25c6d2a3, 0x16e456c4, 0x969966d7, 0x07e096b6, 0x5e153050, 0xc7fb4fad, 0xb94df0cb, 0x41b60297,
+    0x118f8b19, 0xe07e3f39, 0x17adbc0b, 0xfc44241c, 0xd15770ac, 0x2079d341, 0xd69f6615, 0x8271ed88,
+    0xfb6b750e, 0x8ab3b5d4, 0x83c4cc5d, 0x22fb01d1, 0xda8a42bd, 0x3524a806, 0xb5b550bd, 0x57c5c674,
+    0x05e5bf5d, 0x6765e1ac, 0xbeead32b, 0x5b804ab4, 0xe63386d9, 0x7bdf222a, 0x801a4601, 0x24065cb2,
+    0x3fd42ccf, 0x7438b1c9, 0x9f35b0b7, 0x8d84b94c, 0x5d397974, 0x168c564e, 0x9a1e4076, 0x58c3ef7d,
+    0x60e4e579, 0x03aae7a9, 0x9697dd9c, 0x70c15ea6, 0x6665cd05, 0xbb4ca3f5, 0x5cac0a7c, 0x17b3ab2f,
+    0x390aa9ae, 0xa8ef8d85, 0x1fc4116a, 0x5549a12f, 0x74809f93, 0xb9a37f2d, 0xba6bf130, 0x0513f294,
+    0x00000000 }, /* 10**00000000000000476341026354368931790404850737482651634002402140040763986077416\
+                         93502376385799646303105256699577209032590132615988260237052123652332890095616 */
+  { 0x00000000,
+    0x40000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d,
+    0x590105cf, 0x0b3a0cca, 0x1fbd3baa, 0x3e747c49, 0x7d56c75a, 0x17ac286b, 0xdc900acb, 0x94a99fe1,
+    0x00000000,
+    0xda8f8dad, 0x0a8582ba, 0xbf2693f0, 0xaa48ad20, 0x14b2485e, 0xf6469ca2, 0xdde7af56, 0x7d4e95d0,
+    0x0596c507, 0xa9ad13f0, 0xa86f07fe, 0x022c7d01, 0x5628e8c1, 0xc2b0df8d, 0x6617af87, 0xc724d06d,
+    0xaa1eda5c, 0x9c69f536, 0x5b09873f, 0x9030db2f, 0x135fb7c9, 0x547d2e12, 0xfc1e2527, 0x8a9289d6,
+    0x1a1ebc52, 0xca65495f, 0x4f877903, 0x57052c0c, 0xb9514331, 0xf4d26815, 0x01b865ea, 0x0f03f40a,
+    0x8caf1367, 0xb71de0fd, 0x0bacec55, 0x4673f79d, 0xa037d22f, 0xea12c523, 0x9e7c3efa, 0x2e7f5d61,
+    0x36b04269, 0xa32c7760, 0xd589745f, 0xdf8b7599, 0xb4257e77, 0x21bc659e, 0x23eb2ebc, 0x4748f497,
+    0x1dcb2e74, 0x3fbd9734, 0xd02efdde, 0xa63d0845, 0xed81df54, 0x16c786ef, 0xa3748932, 0x66d09aa1,
+    0xcb0a2942, 0xb5862861, 0x5c1a258e, 0xc2fd7ddf, 0x9fc5cbe2, 0xef350a46, 0x8110e77d, 0xeb744759,
+    0x72ffd020, 0xd79c17be, 0x64ef0a25, 0xad73ee02, 0x9578c5fa, 0xe224713b, 0xbe5131ed, 0xe4e860ed,
+    0x31feaebf, 0x815174bb, 0x43aaa0be, 0xe8453fee, 0x7d2e7a3e, 0xe716f6eb, 0x1b971847, 0x6c9af4da,
+    0x4fac7b1d, 0xbc2902e8, 0x2d9202fc, 0xc9115da2, 0x1d5829b7, 0xc616c9f3, 0xaf1278fd, 0xc22dad66,
+    0xd11c66ee, 0x5cadb363, 0xcfb3c98f, 0xd6d6b848, 0x6abc66e3, 0x7fc61090, 0x131f8a3c, 0x8fee1f2b,
+    0xf9daa61c, 0xaaddcad7, 0x7a636fc2, 0xe40c1197, 0xac9d060a, 0x157afbc1, 0x4480ac48, 0x3b38c6e9,
+    0xafa55426, 0x11b06ae6, 0x34a9d023, 0x0ee28245, 0x41956d80, 0xca683ce4, 0x2dda9c03, 0x22f31c2f,
+    0xa2cdfb91, 0xaae025cc, 0x438321ca, 0xc372c9f6, 0xd4cd95d2, 0x57f25ddc, 0xf2316c5e, 0x2eb46dca,
+    0xec0776ac, 0x292645b7, 0x8c6c52d3, 0xd7995c37, 0xdde914d9, 0xbf658cbf, 0x4ffc05e6, 0xc2cbc6e0,
+    0x7074303f, 0x29616d68, 0x5ad0d918, 0x7df7aa62, 0xe91aedb8, 0x700c8234, 0xac5da8d7, 0xb87388a6,
+    0x4862b480, 0xcdd54319, 0xf79ab182, 0x4af9f011, 0x0c73bda2, 0x275c2707, 0x76d027e5, 0xe40a8aa3,
+    0xfa54de30, 0x044f1438, 0xb6ab8e85, 0x6ffb2f35, 0x82994820, 0xc62abbd4, 0xecffb1aa, 0xb2d61ff2,
+    0x117d703d, 0x985cf7e0, 0xa387fb57, 0x71ff299b, 0xa838614d, 0xa84d93a4, 0x5237c8f5, 0xa2477c2c,
+    0x31e9cd34, 0x8840c8eb, 0xa02cca13, 0x8d33e0cc, 0x6ed2fdd2, 0x2b4b894c, 0x017ec834, 0xb7fe477c,
+    0xa55e017d, 0x24a5bb7e, 0xae4abd14, 0x9a5c086c, 0x41f5514d, 0x52c76c98, 0xeef8c6d2, 0x568bdcca,
+    0x03df93b0, 0x1a465b69, 0xcc7a2e2f, 0x039e816d, 0x8789c8f8, 0xca6d4b68, 0xbf9c1b04, 0x30ff8cd6,
+    0xe52bf1aa, 0xf6e84b56, 0xa4288464, 0x99ea25b1, 0x15ebb1a9, 0x102ed80b, 0xa3b881d5, 0xbc8b2e3e,
+    0x9dab194b, 0x81b8b88f, 0x73da15d6, 0xa8a37f3e, 0x5518f07d, 0x7dcd6d57, 0x66e808d0, 0x060af511,
+    0x195a2ac3, 0x7f483cbb, 0xa3c6ca5e, 0x041bab26, 0xefc1de68, 0x898a2c0e, 0xb0f7f8df, 0xb4e53353,
+    0x65092c56, 0x8a8edda9, 0x1b32753f, 0xe17e6f98, 0x1e0677d1, 0xf4fd81b2, 0x8f033450, 0xdf107ddd,
+    0xc3117b17, 0x4e5bcaa9, 0x0abc2868, 0xd16cd453, 0xf068a899, 0x79c6a131, 0x61fe6775, 0xe90e209b,
+    0x7633a5af, 0x807c7521, 0x3d82bff7, 0x37974fa9, 0x8ee04f12, 0x6edaf20d, 0x9448e24f, 0xf8a89b0e,
+    0xc655be8b, 0xc9b4cc1f, 0x5f75de48, 0x50885644, 0x213cafe9, 0xc81242ad, 0x6cf91d06, 0xc741768c,
+    0x09231f93, 0x0f16bd34, 0x09ecad3f, 0xb4a43de7, 0xbc9f44f8, 0xc10acc70, 0xe341223d, 0xa2667084,
+    0x69c93669, 0x69823fab, 0x8b5a62d0, 0x88c05849, 0x725bb8b7, 0xfed0564e, 0x5f8606d5, 0x37dce98c,
+    0x46a98cb7, 0x8263436f, 0x4bdc81c8, 0x02afb03f, 0x6c051956, 0x001e7dbc, 0x05621e3f, 0x8fec8a07,
+    0xee037c20, 0x330eb05b, 0x9d394b31, 0x3bd6fc10, 0x2718938a, 0x103dc330, 0x1b0ebe73, 0xccd1b262,
+    0x0d8fc663, 0x5d2fd0a7, 0xafe1e717, 0x67da1813, 0x5709f935, 0x55e6a504, 0xb1b369b4, 0x28837f2e,
+    0x407ef467, 0x59adc87c, 0xf6343981, 0xd18ceb21, 0x24387501, 0x27ea550c, 0xbccea910, 0xd3466f49,
+    0xc74bdba4, 0x4e9cd4ad, 0xad39907a, 0xa0b027bf, 0xc608294e, 0xbaaa0443, 0xc58b8b02, 0xd9c83e95,
+    0x6fa63935, 0x6d92cc6a, 0xb2defebf, 0xdb8a56d2, 0xd797aa9d, 0xd8669e14, 0x2c59b524, 0xe5989b7d,
+    0x295784de, 0x4c4db8e7, 0xfc3272ba, 0x480110ff, 0x117c4649, 0x92f38607, 0x8a5d83cd, 0x35010916,
+    0xc64e41a3, 0xa1eb57aa, 0xbc32b411, 0x57bc17be, 0x41b94934, 0xdcce05cb, 0xa4f2f5cd, 0x9534b5b7,
+    0x16fa58df, 0xbf6e5902, 0xdbd9bc2d, 0xf4de54eb, 0xf375ccc5, 0xb86a3571, 0xbf6210fa, 0x86acb8b2,
+    0xe585f5c9, 0x864497a2, 0xdf35bfa1, 0x3a9046fc, 0x3bcffdc4, 0x692b2e0a, 0x91a8b4b5, 0xb8f91390,
+    0xe1a47976, 0x703fbbee, 0xb318352a, 0xc75daea7, 0xed559ea0, 0xca2e305e, 0x7a44e871, 0xe598d083,
+    0xd75208d6, 0x98386255, 0xba1c6d70, 0x2ca8f5df, 0x812eda52, 0x02378791, 0xb770b2f9, 0x0f508fb4,
+    0x91fdbc6e, 0x7c6f6d6f, 0xc77c9b18, 0x56588bec, 0xb60aceb1, 0x505cd771, 0x537bcca6, 0xb6240a89,
+    0x3265fe89, 0x23919653, 0x3c77b395, 0xe7dd167e, 0x3fa9c815, 0x80413069, 0x094cbc0f, 0x80c9e506,
+    0x65a04197, 0x823b9a29, 0xcc21d3ee, 0x60975278, 0x82eafb71, 0xa6fbbe5c, 0xc5a9012c, 0xa9463d74,
+    0x75870844, 0xe4d0ffa8, 0x17aba45c, 0x5c9317fb, 0x78351328, 0xf95464fa, 0xf57ae36c, 0x7fb0d3f4,
+    0x6c66a550, 0xc424a96c, 0xe2765653, 0x63e59cd9, 0x89614118, 0x8ea6fab8, 0xcbdc25eb, 0xd8e235a8,
+    0x1267a1c6, 0x29cc3931, 0x6ca66d46, 0xda80995d, 0xcdccc948, 0x7f492c84, 0xeb8d779f, 0xf4a49a7a,
+    0x32c997bb, 0xb17802fe, 0x9a157a72, 0xc833a840, 0x34883a52, 0x14418b25, 0xe4e6812b, 0xd6c04ab9,
+    0x7a9ee98a, 0x92e2e9ee, 0xe81fa028, 0xadb6d9b7, 0x3ed54212, 0x70da312e, 0xbc7380d4, 0xd406200d,
+    0x93b8dc00, 0xdc758445, 0xf3b1c97c, 0x59dd1dad, 0x9e34f0db, 0x05eab1b8, 0xb1c3a84a, 0x600bef24,
+    0x3d224aa2, 0x2dfdce31, 0xeec33a96, 0xe031146c, 0xcbf95c92, 0x1e5b7253, 0x1ee91286, 0x66bf820c,
+    0x37b15103, 0xfee7ff8c, 0x118ef4f2, 0xf9941129, 0xd683b0aa, 0x2f2a1e26, 0x96d75086, 0x0630ea03,
+    0xf87a2a6b, 0x754a1fe7, 0x60f5629a, 0xb3c9ccb7, 0x72c87b28, 0x122f4188, 0x0f24fb3a, 0x1eb6dc93,
+    0x62c3e63e, 0x97c0dbc3, 0xaab6e3ca, 0x558dd4c0, 0xc8657371, 0x99499500, 0x163fb97f, 0x1ce43b60,
+    0x9652790d, 0x1baf0f2a, 0x3593b263, 0xdf3c4738, 0x0c2c24fd, 0x5efeadfd, 0x34a5bcc1, 0x95e54264,
+    0x26cb445b, 0x87bdb44f, 0x9a2ec5fb, 0x5b182767, 0x3288d88e, 0x67ada23d, 0xbad28c4d, 0xe083fb5f,
+    0x1305347c, 0x6fa7309b, 0xc859a484, 0x99a66db1, 0x556e7a7d, 0x6f710d1c, 0xc4345d8f, 0x82c50217,
+    0xca7c2804, 0x14317db2, 0xfe917e37, 0x87b50b55, 0x7636f1de, 0xf007f342, 0xb1bff28b, 0xa2041676,
+    0x2d0592c7, 0xd619ccad, 0x19807554, 0xd7dd78c2, 0xc1767365, 0xc43c6165, 0x98fb8048, 0x3da93755,
+    0x4cd4ca0f, 0x54c2f50f, 0x41d36ab9, 0x8ed84f67, 0xa4a8ca73, 0xf7d841da, 0xe47bcb24, 0x56591480,
+    0xb86d25c1, 0x019b8c4c, 0x460203a4, 0x7d92ecf4, 0x15bfc34c, 0xfcae2f94, 0x95fac0b1, 0x3c834fe2,
+    0xc43f17a6, 0x30ae8a56, 0x32931247, 0x528dd4d1, 0x7165e06b, 0x7d31c5f4, 0x9f48e811, 0x5efe1c1d,
+    0x354d2d44, 0x200ffa86, 0x8c95bce9, 0xdcc05193, 0xe4ba6497, 0x4944cb24, 0x6a481c89, 0xc3d564d0,
+    0x0db21862, 0x01decbd8, 0x225c00fe, 0x05e5aa0d, 0xe936dc8c, 0x33bb23a5, 0x2f82ca3d, 0x9a188e28,
+    0x5563e333, 0x826e17ad, 0x3dae7866, 0x9fc0264e, 0x249fbd59, 0x32fe44c8, 0xb5341879, 0xd3693833,
+    0x5889c89f, 0x975f228f, 0x804658d8, 0x0e7644a3, 0xb42bbe4a, 0x836d9cef, 0xe4548a5e, 0x1cf46a8c,
+    0xb36e8bf6, 0x30cc9acc, 0x7476714d, 0x4a49e3c5, 0x879709f1, 0xf410f70d, 0xec7af713, 0x9ba24750,
+    0x3c46b712, 0x11b0da7b, 0xb844ba82, 0x68669176, 0x89af45fe, 0x0661c87c, 0xe2381563, 0xc2aa941e,
+    0x5d30164c, 0x4ab4f2eb, 0x5408b3de, 0x6b3b8edd, 0x5033ee07, 0xc5bd765d, 0x763d073d, 0xeeafcff1,
+    0x2e795947, 0x0a4533a2, 0xe49570fc, 0xc7f4c71f, 0x5b154412, 0x7dfc3170, 0x189e5acf, 0xd53d44d8,
+    0x69f4f299, 0xb413a96d, 0x2ff104f8, 0x1a6bb4ab, 0x2d9e01fa, 0x9ee737c5, 0x57bf5a07, 0x22c41ee8,
+    0x3b917d5f, 0xa50c139c, 0x13ab783f, 0x04ea935c, 0xe24826be, 0x156d1abe, 0xb918a4c9, 0x69d65b45,
+    0xe892542a, 0xf691bc0e, 0xc916ffaf, 0xd9252fb6, 0xc9385224, 0xa8f31157, 0xcae7e4d0, 0x1b6e307c,
+    0x4d49f0c9, 0xe036179f, 0xbb6319a7, 0x80c64da0, 0x1b7a15a8, 0xb037a9c6, 0x9f55aa1d, 0x295a36a2,
+    0x09d8714e, 0x69b7fa77, 0x774f24a7, 0xcde8ed45, 0xdfaa510f, 0xa4963815, 0xb1d32739, 0x16480f9d,
+    0xdbe3deb9, 0x347637a3, 0x4883fa1a, 0x5daffbf5, 0xc748e9ba, 0xce37c845, 0xf7011870, 0x37d097f1,
+    0x532d6b7e, 0xc3da6a5e, 0xc10b673b, 0xd5023046, 0xdce22f6a, 0x1e00e377, 0x1b257fdb, 0x61ee86a9,
+    0x8d196dee, 0x7fcced7d, 0x2453602f, 0xebe2f6a1, 0xdcee6474, 0x94dad8c4, 0x9b3852cc, 0x97c56e97,
+    0x184befe6, 0x8ff6c382, 0xbbb10055, 0xab7fee6e, 0x15227e28, 0x4c9c5eba, 0x83d1d3e3, 0x5ef492e1,
+    0x634cb7ce, 0xe98ea1dd, 0xbf5416f5, 0x1b9231b6, 0xac86a1b2, 0x9807918f, 0x73226c74, 0x8e7fedd6,
+    0x14edafec, 0xb0dafea3, 0x098402f0, 0x10ee5aed, 0x0f66d308, 0xb8d8f7a0, 0xf4be6702, 0x2ff52aaf,
+    0xca784e25, 0xb6e5e355, 0x85d20db1, 0x52a8d128, 0x3233547b, 0x5bdf2c82, 0xaa08d9fc, 0x47aeb983,
+    0x32103b06, 0xf49c3cb5, 0x723c05aa, 0xdec290af, 0x6ce474fa, 0x85213d49, 0xc8f0f7c0, 0x49f7f05b,
+    0xf76b2c53, 0x8a2de0a9, 0xbe87d1b7, 0x5b91fb91, 0x28807ba5, 0xbb567623, 0x3739f960, 0xcfdb7dea,
+    0x2bf79f45, 0xa7fd29dc, 0x316e4f15, 0xd3d0ae5b, 0xe1657278, 0xd4dd3b79, 0x9cbeb65e, 0x8de8ef0d,
+    0xb78edc58, 0x577d7e00, 0xc3143c58, 0x62385ce0, 0x49f27e2b, 0xfa0d6b06, 0x051376e7, 0xcee40757,
+    0xe9a7fd66, 0xe0f8905b, 0xc1148eae, 0x7808cd9e, 0x9264b818, 0x975ffddd, 0x045279e9, 0xedf90027,
+    0x61442211, 0xaf824e54, 0x6b3a5d4a, 0x89d52327, 0xcd589c7b, 0xe2bf6c23, 0xd408a1c7, 0x4e057b95,
+    0x969eda7b, 0xd06dbafe, 0x90a13571, 0x99df3793, 0x4d7ea729, 0x3a905b90, 0x7031219d, 0xdc3d7b29,
+    0x4cbf471d, 0x99e43033, 0x8675a054, 0xbf1a58d1, 0x267983b4, 0x604c7866, 0x1e798727, 0x283dc1a0,
+    0x79d2d85b, 0x7f297363, 0x70f9707a, 0x71fce0a2, 0x46d4d5f1, 0xc8bb5721, 0xc3206db5, 0x0458b59e,
+    0x5f89af45, 0x9b875f7b, 0xd130ffbd, 0xef70224c, 0x16a0b7c4, 0x0e944b95, 0xb786e22c, 0x8115fd0f,
+    0xdca75352, 0xe65c15c8, 0x3b3032b4, 0xe815e7cf, 0x6a4bfdaa, 0xe96e73f6, 0xd3a64505, 0x90da42d3,
+    0x2c18c7fa, 0x3b7f3b02, 0x9b58e91b, 0x43e4ec97, 0xc5b8ece5, 0xea7307b2, 0xcc6f0dd6, 0xe4ef1cf3,
+    0xe023fff5, 0x4d6f125e, 0xe79c588d, 0xfde2e8e8, 0x109717fb, 0xe747a5ac, 0x0e471266, 0xe5862719,
+    0xb8b7fcb4, 0x19005996, 0x9153f294, 0x736d36da, 0x4ab82a85, 0xeff25924, 0x8fa705d6, 0x69a5ce28,
+    0x22e2646e, 0xbbf49cb1, 0xd14cd095, 0xafa909c5, 0xea73b855, 0xeeb027a1, 0x318686f7, 0x24b939ca,
+    0x2dcbe1b7, 0x63e32c1d, 0xedda52cf, 0x9f0a05d5, 0x45a6a9a8, 0x73949576, 0xdee2f3a4, 0x149a4421,
+    0x7a1e4810, 0x2ed1f05c, 0x423e8346, 0x91e89d1f, 0x85d3b331, 0x8fb09af0, 0x83b333f1, 0xe6be92c6,
+    0x24f71dfc, 0x4401d43d, 0x6861a3d2, 0xa81ecbdf, 0x62dba27b, 0xe56f2880, 0x87e513f7, 0xbbd769bb,
+    0x10fe0612, 0xfa7efb61, 0x30fd3ccb, 0x1a2a19a0, 0x3a204bb2, 0x16b24177, 0x1b88407f, 0xce2a54c5,
+    0x2a704173, 0x523ea389, 0xa53eae75, 0xda396ab1, 0x44e43149, 0x5ece3c59, 0x8a27f1a6, 0x900ed4a2,
+    0x9a769563, 0xf9585e3f, 0x184e781f, 0xfb7f4af3, 0x1b86f3c3, 0x1a1c7e2c, 0xdb94fc68, 0xe9d4b900,
+    0x541ce415, 0x52f7a7b6, 0x65500ee5, 0x4b46f439, 0xfa6f3595, 0x0467d6a7, 0x556b61d8, 0xf8d87df2,
+    0xcffc270e, 0x05614abd, 0xe48d03e0, 0x43ecd9f2, 0x0304f109, 0x9f73af16, 0xb44acadd, 0xfb583419,
+    0x6b142d55, 0x0856e95b, 0x41e97353, 0x8804638f, 0x70ff911f, 0xb9aa2f65, 0x3f647d7c, 0xbe9d24ee,
+    0x0436c791, 0x0ed2653d, 0xc17292e6, 0x2b8f3561, 0x50f4ed0a, 0xd8b61b87, 0xd8f0c3e2, 0x446df24d,
+    0x96162cf7, 0xd964aeb9, 0xbcff3da7, 0xc7a74f32, 0x96dae677, 0x0eb4d321, 0xdf97fb1f, 0x986b03a0,
+    0xb2a5a123, 0xcfbf5509, 0xf6c81460, 0xe12d5b20, 0x18cf0019, 0x227a33e6, 0x9f413158, 0x5b6fda53,
+    0x28660020, 0x5a8e9a07, 0xd4508d6a, 0x84d7ee2d, 0x93274ffb, 0x2942604e, 0x8d0b66c7, 0x60d9fa20,
+    0x4f85e789, 0xde537213, 0x37ab5dd9, 0x39e4b759, 0x84436014, 0xe16da33f, 0x2c03a8e8, 0x9ab956de,
+    0x5620a309, 0x139f3034, 0x85397e38, 0xf597d8f6, 0xb0026517, 0x03ed6990, 0x0af94bd5, 0xc61f7e56,
+    0xb6fdf0f3, 0xa7ba57a4, 0x5b1c60a4, 0x791727d4, 0x81dfdb94, 0x6b2cb2c0, 0x62b9d254, 0x597bcc84,
+    0x6db7fd42, 0x9186a3dd, 0xc437ca05, 0xdf03bda4, 0xddcb94d7, 0xce374bb4, 0x1fb661a7, 0x6e988c08,
+    0x6ca6c84f, 0x283575f3, 0x0c4ed239, 0xf53e1127, 0x3d71e725, 0x421490d8, 0x0a2534b5, 0x596d1086,
+    0xd1ce7a68, 0x982c4780, 0x83c446a6, 0x4109f214, 0x814aeb9e, 0xa3d91525, 0xd0de2529, 0x270abe5a,
+    0x4d39269d, 0x470e0b75, 0xe54247de, 0xf22088d3, 0x4ef310d2, 0x5d3d770c, 0x95821391, 0xf12789e8,
+    0x3ae9d6c4, 0xf4d939d1, 0x3dc4bed4, 0xf8156900, 0xc9d27f66, 0x19a5468e, 0x7f28a7d3, 0x5a98cbea,
+    0x7fd431fb, 0x22303bc7, 0xbcb496f9, 0x5cf4e3bb, 0x59efe9d4, 0xec2ea97a, 0xef13f0e3, 0xa03fab8d,
+    0x3355b82a, 0x7056dfe5, 0x35442f99, 0x3d9be6c6, 0x244b7aa8, 0x93e15f52, 0x900ed80e, 0xf7c77882,
+    0x45927ea2, 0xb3872d8a, 0x818816ca, 0x85e92344, 0xb2d8be6e, 0xe717c170, 0x4b189f6c, 0xc0b1a3cf,
+    0xbe5fdc72, 0x7fc11ebf, 0x86746eb5, 0x4605d864, 0xfb65fd03, 0xbf52b4cc, 0x011d50e8, 0x8547d948,
+    0xca1862af, 0x20c36138, 0xe20af759, 0x1e69913d, 0x33a3b6fd, 0x9bf4f8c3, 0x3cb55c92, 0xea078263,
+    0x00000000 }, /* 10**00000000000000238170513177184465895202425368741325817001201070020381993038708\
+                         46751188192899823151552628349788604516295066307994130118526061826166445047808 */
+  { 0x00000000,
+    0x40000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6,
+    0xac8082e7, 0x859d0665, 0x0fde9dd5, 0x1f3a3e24, 0xbeab63ad, 0x0bd61435, 0xee480565, 0xca54cff0,
+    0x00000000,
+    0xa74275b7, 0xa76c1ab3, 0x5aef2ffd, 0x3ed52e71, 0x26c4a7d7, 0x6e408619, 0x513b5dd8, 0x45098e53,
+    0x671fda2b, 0x3f93fbab, 0x49265e35, 0xcb1a28ca, 0x25197561, 0xf83d3b11, 0xc7f59591, 0x5dca4a6b,
+    0xd8632b82, 0x5899cdff, 0x3586220b, 0xfe9e427d, 0x6cf40c07, 0xe4622d81, 0xc1818137, 0xddbbc3d0,
+    0xc91ee873, 0x583e8b13, 0x61ecda4c, 0xfe0e3c8f, 0xd0d094d2, 0x8dd03675, 0x79e6290c, 0x0da94618,
+    0x5f120120, 0x01cef211, 0x5399c933, 0x26379ee2, 0xf50808a6, 0xc3186a17, 0x2d85f805, 0x535eb000,
+    0x235079ca, 0xf0534693, 0x21f3975c, 0x6da8aaa2, 0x2bf3d2b7, 0x963b27e1, 0x3b2ac9bb, 0xec361640,
+    0x7222090f, 0xfa3a13d4, 0x32b68479, 0x8e6f981b, 0xa16d7954, 0xfec9d248, 0x457717fc, 0x66b47e8f,
+    0x832a4fd3, 0x89e76233, 0x549fe02a, 0xb7d033b7, 0x375423a9, 0x1e776136, 0x4b393bbf, 0x75ee6a5b,
+    0x64aada07, 0x1f6e80fe, 0x5713ad8f, 0x53b17eb9, 0xdc1990c2, 0x2c1ae625, 0xe148d7c3, 0x443d85ae,
+    0x74ec08ee, 0xe0bae00c, 0x3eacaa00, 0x769efc21, 0x02d28a29, 0x8a09e178, 0xf2f6f8f6, 0xcc6cdd8f,
+    0xd97e1cc2, 0x18d1edcf, 0x8afc2364, 0xb62d489d, 0x465e30a0, 0x5bb5b6c0, 0x24ce1246, 0xea311e82,
+    0x62cd52d4, 0xf48edec0, 0x3608ac18, 0xb10cde8a, 0x412ab274, 0xeb3ee12e, 0xe8f2612e, 0x0682d3f5,
+    0x3c823253, 0xcd635afc, 0x91847e61, 0x873b7368, 0x290177b6, 0x6f5c00bf, 0x90d42c0d, 0x06bb41ad,
+    0xbd12e006, 0xdfe8d667, 0x88e040f8, 0x3c662787, 0x5c75259c, 0x83876541, 0xd2df913e, 0xfd4ecc30,
+    0x39c40ae9, 0xf06ba0e6, 0x72a482fe, 0xe917cbae, 0x2a2378bb, 0x07b7ebf8, 0xe8ae0b5b, 0x061eb520,
+    0x7a8b9920, 0xac74e724, 0x80e492ed, 0x8c5881e3, 0x0e7203e1, 0x29db25a0, 0x2e10962a, 0xb1ac9d4f,
+    0x92fc3003, 0x86429dab, 0xab6ead3a, 0x5bd8b139, 0x67a44efe, 0x150f01e5, 0xc462d45f, 0x0316fd27,
+    0x5877ebb5, 0x64b8be80, 0x6f219c5b, 0x0aa1b7a4, 0x53f229df, 0x755529d6, 0xc2b4608f, 0x8cb7818f,
+    0xc2e7b347, 0x09bec9b1, 0xa6afbdfb, 0x0ff79106, 0xb46c0a4e, 0x510a8ab0, 0x5c2fc943, 0xe81fe110,
+    0x11daac80, 0xa646c2fd, 0x414a31d5, 0x9867c7ca, 0xc8e33ff2, 0x6c4332ba, 0xb0b68824, 0xc4ae2124,
+    0x8a9bc35c, 0x8f84ead8, 0x0e009d95, 0xf2861164, 0xf10171f0, 0x7bf7879c, 0x952105de, 0xa92b429b,
+    0xce07923a, 0x4e13b0a6, 0x2f223561, 0x268c3315, 0x986dff48, 0xa97bbd84, 0xf0379b1a, 0x9e3172fe,
+    0xb5f17dd3, 0x80056ff6, 0x0c076bce, 0x2e8a036d, 0xa6627ece, 0x9b256a32, 0x5074719e, 0xae6c76a8,
+    0xcad72206, 0x700afbc6, 0x50385821, 0x237c0078, 0x5b223a90, 0x34f09531, 0x9d4fe09e, 0x358f6d6d,
+    0xd1c89a61, 0x40d27722, 0xec6d4a4f, 0x24b55e42, 0x049acb30, 0x0531cec8, 0xe6677275, 0xe219dacb,
+    0xc0fc274e, 0xbeb1d0f3, 0x9d32bd62, 0x55803b5a, 0x488a5c60, 0x7b13f58d, 0x2e2fa34b, 0xf690813b,
+    0xfaacbe01, 0x46fc4bcd, 0x3a352963, 0xba3b9659, 0xb8bea8f7, 0xee36ae02, 0x20954cec, 0x7b2b2d23,
+    0x34c625c4, 0xfbc751bc, 0x823d6f34, 0xf6b01b92, 0x808b05e3, 0x610b8d20, 0x7f533617, 0x7f9f9bb2,
+    0xc1cc0dab, 0x29f6e148, 0x09d8e751, 0x9cf20ab0, 0xc3225810, 0xe2793642, 0x7eb01b90, 0x9082427a,
+    0x1963e5fe, 0x9e6fe3a8, 0xd4c70647, 0x74bf7ba4, 0x045a11c6, 0xb0f32177, 0xc645f116, 0x4ff045e0,
+    0x46bcc9d8, 0x3458ea6f, 0x9e886115, 0x4646ce01, 0xab688f2f, 0xa214686b, 0x808f7dda, 0x80d4e8b3,
+    0xfabfd45e, 0x8ad01c4d, 0x7c01fe0e, 0x9158f599, 0x65ccd237, 0x19c78822, 0x09de6ec8, 0xa1bcf42b,
+    0xcc9cb23d, 0x4de82c93, 0xd98397d8, 0xd538e5fd, 0x3dcc459c, 0x90fd3f28, 0x5ea971c3, 0x6d901d06,
+    0x21609db6, 0xae184547, 0x0ef64e29, 0x2d9f44da, 0x366e6b2a, 0x3645423e, 0x9f1afd70, 0xcb42d27e,
+    0x66dcb58f, 0x35b3a6a7, 0x45240092, 0xf88d7391, 0x2b44f65e, 0x2fbc994b, 0xc3fe3b10, 0xb0e96a1d,
+    0x770627e1, 0xdbc6b3fc, 0x1e74e7da, 0xf180a2e7, 0xbd44bdbb, 0x70e726de, 0x7def9663, 0x1a979efa,
+    0x04bbb040, 0x68acd21e, 0x9005432f, 0x7aac6462, 0x92d40b01, 0x75f4bf12, 0x6a60a287, 0x4d6eb764,
+    0x500d7f1e, 0x5625d8aa, 0xb4ed90fc, 0x54a9bbd6, 0x02abf7f3, 0x8839ca18, 0x1dc40093, 0x6d92ecf4,
+    0x5f260d51, 0x43c8e014, 0xd4ff9ddf, 0x2d726ee5, 0x88851ea5, 0xeb6dce7f, 0x14d539b4, 0x5051efcf,
+    0xce1cf171, 0x03628a94, 0xf982a212, 0x7935e40b, 0x20b134c6, 0xfece18ab, 0x433279dd, 0xe1d86d6e,
+    0x11ecbc8b, 0xb41edd77, 0xd6b2370c, 0xe6a7bb6c, 0x183478ac, 0xb8ea9076, 0xe84c5b72, 0x24bb4497,
+    0xb20bd70e, 0x7e438f64, 0x5ab02cf7, 0x07ebe858, 0xfafac2da, 0x73bbe2a8, 0x3e26061c, 0xdd205c9e,
+    0xc4b437a8, 0xa5eb3ccc, 0x027a1096, 0x4e10aaab, 0xc99a2a8f, 0x551fb8b5, 0x741e3b0c, 0x2f5bd190,
+    0xcc366446, 0xff896c58, 0x2828088f, 0xd13ee341, 0x8b449af5, 0x8c2f3fb3, 0xa7f299a1, 0x4f230e79,
+    0x4a1f527d, 0xb37accdc, 0xd6364528, 0xa4ae90c7, 0xe8c9593a, 0xe87869a9, 0xa6a2202e, 0x564e8344,
+    0xf87a22e6, 0x9856005f, 0x3fede6b4, 0xa5f24c77, 0x788e763d, 0x8edd9825, 0x80334db2, 0x998a8092,
+    0x2006399b, 0x86935635, 0x93912965, 0x5e05adf7, 0xd36d0590, 0xc0b61bf9, 0xaacce5f4, 0xca68badd,
+    0x694e598c, 0x99e4abc7, 0x3360ef29, 0xe6859422, 0x8d4297c2, 0xf84d46d6, 0x600d177e, 0x05c95112,
+    0xb91eb7b1, 0x1d9aa99d, 0x3221d026, 0x1b6a7d32, 0x7951f5a7, 0x68ac6fba, 0xb6f1ba88, 0x9e619a2c,
+    0xb907efa9, 0x4316fca7, 0x5ac2ab11, 0x6edd2798, 0x1d07d5a8, 0xf14bd282, 0x97654e69, 0x286b151e,
+    0x4214147e, 0x1a40cdf1, 0x64cd637c, 0x66c6bd41, 0xdedf077f, 0xef1be2f8, 0xf88b2b8b, 0x1e71745f,
+    0xd7f77190, 0xd1eb4351, 0x00ee4937, 0x6d268da6, 0xdcf4c672, 0x19e216ae, 0x0c8522b4, 0xa16f794f,
+    0x77593c02, 0x0d0c5b4c, 0x217a4f2f, 0x2825e6bb, 0x43532711, 0xa6b5d724, 0xd780e124, 0xd0789c62,
+    0xa7188901, 0x34092193, 0x53e841f1, 0x960a5e0f, 0x54076870, 0xb6c2f896, 0xafd716bc, 0x73dbe6f6,
+    0x16eca194, 0xd784838e, 0x7bfdccdf, 0x67439eea, 0x2a95b1b4, 0xc251f4a9, 0xc17f5d87, 0xb189fa57,
+    0x30ae7545, 0x0e98ade7, 0x583c41de, 0x3e8f660f, 0x60bb5974, 0x4417054b, 0x2511d4a8, 0x437c8e3f,
+    0xc12e2bef, 0x84b916fd, 0x0a668811, 0xe8bbe4f9, 0x0171082b, 0x3cd10b2c, 0x90fd0606, 0xd37ed0ed,
+    0x8196e1a1, 0x374cf3ed, 0x970504f9, 0xedaa9ec7, 0x8baa3dd0, 0x9562314f, 0x9f6ac742, 0xb34d27ea,
+    0xff071679, 0xc4dd88fa, 0xbfa01eaa, 0x0524e765, 0x5a223fa5, 0xa13882bb, 0xad92aa68, 0xf3bbd54d,
+    0x3f282404, 0xa5ac136e, 0x64aec7c7, 0x233d96a3, 0x4a979a2d, 0x57bbafcc, 0x1b457fbd, 0xb11da170,
+    0x000f0e4e, 0x4629162b, 0x8d4d35ee, 0x747db518, 0xc4c2ebfb, 0xd2b981c8, 0x9386e0da, 0xae310d09,
+    0x2adf815f, 0x71bfbeb5, 0x9dd54419, 0x491e349a, 0xcd8c7790, 0xb757ef33, 0x02d61758, 0x9acc56e8,
+    0xd7dd63ca, 0x1821a436, 0xcfb68edf, 0x649cb866, 0xc0544666, 0x02f2b84f, 0x58e03a7f, 0xddcb331c,
+    0xa6e66d24, 0x9f522698, 0x4ee08704, 0x0c776268, 0x4833fa7c, 0x0072442d, 0x5f786b80, 0x879837c9,
+    0x80d5e338, 0x72de6a35, 0x466ddcc1, 0x28f4499f, 0xddbda37f, 0x2065d137, 0xefa106d1, 0x327bf676,
+    0xfbde9d65, 0xe9c96b8b, 0x0effb8c4, 0xafa7a06a, 0xcc9c0b1e, 0x5bb0c97c, 0x64f63958, 0x15d4a6fb,
+    0xbe66ea46, 0x7ef8c012, 0xf69f8a30, 0x0ee4a561, 0x940070f0, 0x0b033e9a, 0x93e79bea, 0x9cbb8e35,
+    0x3f6d2ad4, 0x91baede9, 0xfe18f61f, 0xbd2487f2, 0x201244b2, 0x9999139f, 0x6a14c603, 0x27c0c660,
+    0x4ea67303, 0x856ce25a, 0x5cb26fe9, 0x677d04cd, 0xcb48bc02, 0xf094af81, 0xa6831f61, 0x7f7f05b2,
+    0xd80cf4d7, 0x3d8a9a7a, 0xc4b38fe3, 0xf00e7c01, 0x94daed57, 0x56039a80, 0x869385a2, 0x6343559e,
+    0xe28a292e, 0x5757567c, 0xcc48eeac, 0x1ab71a08, 0xd8606ef7, 0xaa0d18f3, 0x13721322, 0x1f4eb981,
+    0xeb2f790f, 0x418480e9, 0xbd5f36c2, 0x7e806beb, 0x0e6f5d63, 0xb3125721, 0x91f02a69, 0xb7340fab,
+    0xe99e4eca, 0x3487a0ee, 0x6feb6c86, 0x3be6d0ee, 0x558844cf, 0x28965b81, 0x07257a94, 0x76a990ab,
+    0x42e5945a, 0x69656f54, 0x7dc8f699, 0x790f5f9d, 0x88775dce, 0x34925800, 0x3b0ba940, 0xe2af7d97,
+    0x268022cc, 0x53555b01, 0xef85e852, 0x53a99069, 0xd191ce19, 0x6c23416e, 0xd3055693, 0xa55086ac,
+    0x532baa2b, 0x4ab45f09, 0x94abb371, 0x2f60cc99, 0x098afa05, 0xdebd9b8f, 0x510e0278, 0x8bc6d187,
+    0xcaa4f144, 0xd7c12324, 0xbd52812c, 0xd1eb20c3, 0x39295bd4, 0xf7517bab, 0xd2bc6997, 0xb640b08a,
+    0xba2c8e86, 0xfa449969, 0x86dad945, 0x98406d2f, 0x27d1f9bb, 0xe36d2f0f, 0xec544e58, 0x9de24db0,
+    0x8d02de3d, 0xc89fda93, 0x0449fc6c, 0x6614d08c, 0x70c11f66, 0x897f4655, 0x1b4e23c1, 0x02ca261d,
+    0xab546d68, 0x39cd1a4c, 0xde4efe02, 0x76196093, 0x6de382e6, 0x37fcc094, 0x17aed4b2, 0xf641a0ff,
+    0x211b64d6, 0x455c61de, 0xd0a9eecd, 0x947fbfd4, 0x44cdc400, 0xf5033f4f, 0x8b52d87e, 0x1c8509ad,
+    0x1f8ffa79, 0xe3aa086d, 0x634d2d98, 0xd3d9d4d7, 0x84a6a541, 0xfa9275ad, 0xa60380f4, 0x0fae659b,
+    0xa8b81ee0, 0xe205a5be, 0xa0a02ddf, 0x397a1b32, 0xf9ac923f, 0x5a112fb6, 0x6d04af31, 0x8963b769,
+    0x8eea7c87, 0x361f3120, 0x887c39d5, 0xfdc20108, 0xcfcd250f, 0x27bfe270, 0x244f1003, 0x273785f5,
+    0x938387dc, 0x95de4c34, 0xd4073a33, 0x0ed4fb4a, 0xc4557975, 0xf3de75ee, 0x9c08f3d6, 0x9c13fda0,
+    0xe563452b, 0x86ff06db, 0x86a8ab61, 0xf691102d, 0x7c4cd172, 0x61f375cc, 0xbac30e57, 0x6ddc2185,
+    0x1623044c, 0x5c8753b9, 0xa1e841ce, 0xf8ea8e7d, 0xf9de38e4, 0xcd4b8f75, 0x607ab236, 0xa535023b,
+    0x88425f94, 0x0a83dd6f, 0x9eb7f887, 0x8cfb7b55, 0xa42e1a7f, 0x03e1257c, 0x2f471d47, 0x0920c7cf,
+    0xb4ef19b4, 0x9168b7a3, 0x9c958da0, 0x9842e708, 0xbf37c0ce, 0xcfaf037d, 0xa3383ae0, 0xb1d55102,
+    0xcd0102fe, 0x5434066a, 0x3ccf8b98, 0xec6edad5, 0xec7dec6b, 0x8ae060b3, 0xc0695bb0, 0x0b30dfb6,
+    0xc9418b07, 0x39977728, 0x7f245db2, 0x98a60bd2, 0x01d06d23, 0x1bd8d02a, 0x125ff8d7, 0xd847a79a,
+    0x6b54538c, 0x3efc332e, 0x30c78467, 0x6f888f4d, 0xf85d3e42, 0x4e0fca4b, 0xb87a935b, 0x9b67ead5,
+    0x4348e46c, 0x2e712e15, 0x7df9b8a7, 0xf250d400, 0xe550163f, 0xad1ca084, 0xcde20447, 0x8d8a4a9b,
+    0xf8d883d4, 0x8d2dcee5, 0xbc2cf609, 0xb01ccfaf, 0x6cc75f7f, 0x8c6f9c06, 0x5eb0a3ce, 0xedb20e07,
+    0x71aef7d7, 0xb41ef1ed, 0xe1aac4f6, 0x27620113, 0xb7d20ff5, 0x18e87835, 0xed80685b, 0xb85f3ef8,
+    0x4e732c0b, 0xb242adb1, 0xe763b3dc, 0xe33ab2b9, 0x95efb70d, 0x6f0730a8, 0xd85ac81e, 0x42eb7adb,
+    0x4765fcb5, 0x8263ab76, 0xab226b98, 0xb38967a0, 0x1cd95a7f, 0x89c4b1ae, 0x15f1d1c5, 0x23c35faa,
+    0x7ee2bbbd, 0x1ae2e6d2, 0xc2fe4cf1, 0xd42e0599, 0xaec65dc7, 0x33da7eb4, 0x3beac6e7, 0x81314c51,
+    0xcbe7bf6e, 0xc2739e61, 0x3ae27a2a, 0xae2ad090, 0x98948caf, 0x15284875, 0xf592f4fb, 0x638a06cc,
+    0x5d0c494c, 0x354189d5, 0x94307fba, 0x8cb91ba1, 0xd84a5bc2, 0x12d30099, 0xcf93112b, 0xb235cf18,
+    0x757c7cc7, 0xa98695df, 0xa9c74a74, 0xa48a76b9, 0x9b79615e, 0x9b38ce58, 0x8d23d0e4, 0x3a6303ce,
+    0x7aaebff6, 0x50eb6b1d, 0x373fe10f, 0x403b37af, 0x5d957108, 0x71e7b177, 0x0b1f5280, 0x1015b7ce,
+    0xe3ba7d70, 0x2bfe99f0, 0x57742be2, 0x7a17620d, 0x7520106b, 0xe075e734, 0xe56d2ab1, 0x88eeb920,
+    0x51420764, 0x737f8045, 0xa2f87f97, 0xcc2baf30, 0x8b28d8c5, 0xb5e1819a, 0x725eb105, 0xf3404a52,
+    0x3093523d, 0xf2b72157, 0x40e4b98e, 0x73c43922, 0x8ca4caa5, 0x36e901f0, 0xaa5821e2, 0x548b26a9,
+    0xf64ff9c3, 0xb627db11, 0xf8f87883, 0x147f9684, 0xd0dda1ce, 0x8c37de4a, 0xc8790b06, 0x7210a7ab,
+    0x24afe12f, 0xeb019ceb, 0x9949f05a, 0x6ecc99d3, 0x0d88a8b2, 0x8ce9b294, 0x267d2754, 0xf7ce7d68,
+    0xd7ca3449, 0xd191c491, 0x8ebb9983, 0xdc2d1325, 0x6bd2440e, 0x45328520, 0x3e7970ec, 0xc06d43cf,
+    0xe2e31e91, 0x35378928, 0xf8ca7517, 0xc22828a5, 0x9d74a800, 0x20aebf2e, 0x86cb5ead, 0x0eeb8b7e,
+    0xd1969144, 0xa4205aca, 0x00071cc3, 0xeffff0d7, 0xb19dc168, 0x0c6a527e, 0xfda544b3, 0xa8d57868,
+    0xd65a786f, 0x82899582, 0xc020f0fc, 0x7ee42b37, 0xddfc67b4, 0x5dec374f, 0x52cd0aef, 0x39b936c1,
+    0xb197f389, 0x81a4954d, 0xeb7bc2d8, 0x74398d70, 0x3ab20e4e, 0xc31183f9, 0x9610db38, 0x3745d1e6,
+    0x593b3ac7, 0xb002a69a, 0x32677de4, 0xc11b3854, 0xc2e1fadf, 0x2c828ff1, 0x5242ff0a, 0xae9b563e,
+    0x4d1173ed, 0xc4420ee4, 0xba883162, 0x5954203a, 0x5efc8d3d, 0x0709974c, 0xc2f99ec4, 0x1eda4fcb,
+    0x4d12f826, 0xa2f0725d, 0x2a4dc992, 0x832e5e94, 0xd82d5cac, 0xc096d2e6, 0x780c02b3, 0x6cc9af50,
+    0x75d432d3, 0xc50b8d21, 0xacce431e, 0xe3e232ea, 0xbd68a0bd, 0xbf1227f0, 0xd6c008ab, 0xc1ddb47c,
+    0x2e412886, 0xbffde69b, 0x11a4e642, 0xfe18d6f2, 0xf3c7618a, 0xcb80e6ba, 0x609961de, 0x68e075c2,
+    0x2fef37ae, 0x731e2ce3, 0xa36bb7e5, 0xe62505e3, 0xa0d934e0, 0xc33f546a, 0x52281db8, 0x7c573571,
+    0x47c9f9bf, 0x60977c09, 0xeed6035d, 0x39b14c40, 0x5598d4b7, 0x5014978c, 0x6c2bde6d, 0xe9d14a28,
+    0xcbc54c17, 0x1dc3e752, 0xbba3eb9c, 0xed9bd8cc, 0xe5c34324, 0x3e5395c7, 0x1ead7987, 0xe23a8670,
+    0x799198a8, 0x8dceec1e, 0xa381afe8, 0xef790c1c, 0x95bef049, 0x295f8a37, 0x5e710aa5, 0x9edb8801,
+    0xe2fa98f2, 0x61a8a17b, 0xbbbdf14e, 0xb222d196, 0xae343977, 0x471b5189, 0xc2256410, 0xbe45b977,
+    0xaf3e0e88, 0x6f115ea9, 0x419ed85d, 0x55a247a0, 0x1ab16be4, 0xcf7622dd, 0xc9da2120, 0x5a2e24f7,
+    0x0239034f, 0x878edbfa, 0xce5f036a, 0x7398f0f3, 0x36600fa7, 0x7b4b8c7e, 0xead85a9d, 0xe334064c,
+    0xc9af618c, 0xaf90ab79, 0x77863777, 0xd14d22a1, 0x980a5795, 0x6f6cc08b, 0x0f444565, 0x6ffd0e0e,
+    0x28368437, 0x6f331263, 0x83a83507, 0x6eb873f2, 0x936b51c7, 0x73a24bae, 0x75ee720a, 0x977e6d92,
+    0x00000000 }, /* 10**00000000000000119085256588592232947601212684370662908500600535010190996519354\
+                         23375594096449911575776314174894302258147533153997065059263030913083222523904 */
+  { 0x00000000,
+    0x40000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db,
+    0x56404173, 0xc2ce8332, 0x87ef4eea, 0x8f9d1f12, 0x5f55b1d6, 0x85eb0a1a, 0xf72402b2, 0xe52a67f7,
+    0x00000000,
+    0xceed1ca5, 0x0919506e, 0xb3d43736, 0xcbedfcdd, 0x06f2ce39, 0x75ddbaa0, 0x9827e1ab, 0x8a23952d,
+    0x43c24b86, 0x16c15b4c, 0x4cfbd5a7, 0xad447905, 0x1737d895, 0x7a4137ff, 0x7b638041, 0x6c879834,
+    0xe5a876ef, 0x8e7eaad7, 0x89a260ba, 0xbe868066, 0xc67c1111, 0x93b2c594, 0x144b4566, 0x3620babd,
+    0x1a7595d1, 0x7e6d912a, 0x2c009fae, 0xd19ad7e6, 0xe0648b17, 0xc1da71f2, 0xa9c99127, 0x4ff4c216,
+    0xde010a80, 0x452208ef, 0x767362e8, 0xb90f5fb3, 0x10364b8e, 0x3a7f5ddf, 0x57a46907, 0x3f6725fd,
+    0x185a4a78, 0x150137ee, 0xab2660de, 0x17641b8a, 0xcdac3ce7, 0x84854668, 0x36312ccf, 0x6a44a6ea,
+    0xb893e217, 0xcebdf9ca, 0x521a163b, 0x8b06a487, 0x43729699, 0x3c225f8a, 0xfbb20a9b, 0x68247a57,
+    0x0ea78089, 0xc7f7a1ac, 0xf32c2379, 0x0023d5f6, 0x911d6cbf, 0xa9582813, 0xd57b0252, 0xff8ae709,
+    0x0f4e874f, 0x0d2ffaed, 0x6b3467a5, 0xe13cd670, 0xdae0fec6, 0xf512854c, 0xbda68dfb, 0xb37a1c63,
+    0x0304098a, 0x31db0d77, 0x068b7e2d, 0x3abb6579, 0x1a9d4790, 0x49343883, 0x5e97b33d, 0x3cf67998,
+    0x4fd75178, 0xc75990fc, 0xcbaf14ee, 0xc234ac39, 0x0e46432c, 0x7095049f, 0x61fb8d09, 0x5c324ed4,
+    0x105b2b93, 0x579c0ece, 0x4b26ea5c, 0x0b63bc78, 0x6b555378, 0x893ad96d, 0xf75156cb, 0xac4e4cba,
+    0xf45c0793, 0x16f23041, 0x06fff91f, 0x93b8b29e, 0x11d52c0a, 0x245e040c, 0x7eddf090, 0x1509f326,
+    0x0271cf2d, 0xdea191b2, 0x8d9cd8f5, 0xab48ecec, 0x35340285, 0x44abe3e3, 0x0139b063, 0x5455323b,
+    0x34269afc, 0x648809ec, 0xbd450284, 0x15b99e73, 0xb28bbff4, 0xbee090e9, 0xeec51476, 0xbaa68cdd,
+    0x2ced91c5, 0xf3e04e93, 0xf41a26e4, 0x6257d129, 0x7f080f06, 0x1a6b1a11, 0x198b71c1, 0xba5b91b3,
+    0xa310e4aa, 0xa7da1abc, 0xbe6cb51b, 0xf94ae011, 0x7d91f03a, 0x181bbed7, 0xf619c3c9, 0x0e1ae2ba,
+    0x1652bc96, 0x5d362e6c, 0x19564d72, 0x602f2677, 0xfa47ebc7, 0x779d259c, 0xb1bd561a, 0x99f03db9,
+    0xd8405ebb, 0xc1fa8ae2, 0x54b88eec, 0x8ce35547, 0xb14efbd2, 0xc7f1ca03, 0x5843a8b4, 0xbe158606,
+    0xced5df79, 0x41baab91, 0xb6c095d5, 0x2a412d4d, 0x3aeaf0b4, 0xa465b0da, 0x16de2903, 0xf2a4bd4d,
+    0xf428e6da, 0x3987c405, 0x00876029, 0xf02af64d, 0x63182395, 0x7fc371c0, 0x94626331, 0xaad09f48,
+    0xf4c6ff12, 0x85ff6a38, 0xee19494c, 0xa460a5e1, 0x62b99f18, 0x3b6c126c, 0x179eeb7a, 0xfefbbf24,
+    0x59be0e99, 0x2e8e4402, 0x61ea20d7, 0x20eeb443, 0xd3e7c45a, 0x45235538, 0x58e53c63, 0x0220b111,
+    0xe1dd5194, 0xf6406f2c, 0xed60591b, 0x80332b36, 0x8f65187f, 0xc89fa27d, 0x5b868012, 0xfd45074b,
+    0xb0ab7c26, 0xeb760b1b, 0x7e11d49a, 0xa5e4da98, 0x9b289cea, 0x646d0d72, 0x5fd0b30a, 0x4d9d630c,
+    0xe85fde2a, 0x6197ec8e, 0x092f92e2, 0x48d15806, 0x06217dc1, 0xcb325564, 0x3aa135f5, 0x8635ca48,
+    0x8b3a94f2, 0xa1280416, 0x2e1d35f4, 0xc4eedd49, 0x3d7cb700, 0x72b7386e, 0x5efd980c, 0x3c512eeb,
+    0x5ef6f3b4, 0x73d59d2d, 0x3f604bd7, 0xf702c6dc, 0x1e0a14c6, 0xda8e6984, 0x083dde6a, 0x4d926602,
+    0xef3a6c99, 0x993d1b0d, 0x54dfe6a2, 0x649d84cd, 0x8fc7caa7, 0xf12cd81f, 0x5b7b3302, 0xea3ad918,
+    0x3f714112, 0x9b404c34, 0xc82ecdd6, 0x7192f4af, 0x48ffcf35, 0x84e5afe6, 0xc3249e65, 0x81411086,
+    0xf4cb7649, 0x7a7f996e, 0x7ec2da69, 0xf826cea4, 0x21f9d7cd, 0xb435499e, 0x1aac9d31, 0xfe87e90f,
+    0x60a47e2c, 0xf96a4a81, 0xba05c697, 0x9a332d98, 0x2f409a56, 0xd68567b7, 0x4c97276d, 0x8a65b352,
+    0x87165209, 0xb0a125e3, 0xa2c88f79, 0x6a155850, 0xa6c3b190, 0xcaf53250, 0x3bc6cd64, 0xb04a48d0,
+    0xa343e89e, 0xc2f8523d, 0xfc141abf, 0x0c8d9f3a, 0xd6699790, 0xb72acf46, 0x9cb9d97a, 0x389e6b42,
+    0xf78367b0, 0xb29f3877, 0x32c9450d, 0x48dcb213, 0x0e2509f1, 0x22a71f1e, 0xe4dfd123, 0xb4515fd9,
+    0x9357509b, 0x79193e7e, 0x8711ae68, 0x70075fe9, 0x64912121, 0x01846889, 0xcb57795d, 0x9fedc194,
+    0x83a8eb3f, 0xb443348f, 0xfef70543, 0x7ebef33d, 0xf65a433c, 0x7922069c, 0xa139fc23, 0xf7b71cf1,
+    0x016d9518, 0xfd4b66f1, 0x9f1bb41d, 0x767df6ee, 0xea71570c, 0x0fcc739f, 0x9f4307a6, 0x96dae66d,
+    0x3422182e, 0xbd946cca, 0x99a4b45f, 0x3c7ebe51, 0x6a669e66, 0xd107f56a, 0x3671ecc6, 0xeecc2ec7,
+    0xda5356f5, 0x68a2de66, 0xeb53f4d1, 0x2d0dce0e, 0x5a8a5b91, 0xe824a8fa, 0xcc08d199, 0xd813f52a,
+    0xa670bc27, 0x33c1bd25, 0x96bf8162, 0x60196b62, 0x54e54b36, 0x3c21dc5d, 0xff18963d, 0x743c21be,
+    0x379e54f0, 0xa669e15f, 0x9436ce90, 0x8e1a950a, 0x916d65d0, 0x4403d051, 0x5bffdc53, 0xc4400d90,
+    0x89624d97, 0x18a79673, 0xdf4735ec, 0x765e18a0, 0x3ec7ea6b, 0x2ef358b9, 0x0a461df3, 0xb358626f,
+    0x4e7bc731, 0xe4e4e0b5, 0x985adfe6, 0xca79b5ed, 0x483159f0, 0x265374e9, 0xcdfee998, 0x51c7e658,
+    0xac44ed5e, 0x6eed1741, 0x550ab15a, 0x661ca58b, 0x8c475e27, 0x9f320dfd, 0xd484af42, 0x5c1d8805,
+    0x1aada1d5, 0x24dbfe69, 0x9a19c5ec, 0xa2a75019, 0x6c806053, 0x410ced46, 0x2dca3d63, 0x3fb1ad87,
+    0xbaa78547, 0x001693ce, 0x60ce0d94, 0xb6354ef6, 0x477413fb, 0x310e48be, 0x69d16a55, 0x87929b79,
+    0x6e0fcdaf, 0x101998d4, 0xf0d61a38, 0x9e0aed99, 0x78a1b248, 0xc0f0d885, 0xc0d3f1b0, 0x4c90b820,
+    0x2917483b, 0xf6fd1fdc, 0x4977bdc4, 0x163a7053, 0x21e4ed64, 0x69fb19ee, 0xf0fa1aab, 0x6e3cf3d8,
+    0x1e3ace21, 0x7af08702, 0x0be0c6f8, 0x08d20c6c, 0xbf3708f0, 0x6519793f, 0x2a912ee8, 0x186bd1ea,
+    0x5f35ce4d, 0xa9cde366, 0x76b51606, 0x07a74376, 0x292d2224, 0xbbf65c95, 0xc9924e4b, 0xaa49d1d5,
+    0x5376a6cf, 0xb9ecc07f, 0xb82c1783, 0xb02b8925, 0xdf9997ef, 0x03e28ce1, 0xc8f9ffa4, 0x4a123eef,
+    0x796a9d5b, 0xc9474c08, 0xf793c794, 0x401dd59c, 0x6b732546, 0xb4d1f79e, 0xbbf97fd7, 0x7783712d,
+    0xed5011c8, 0x528f0987, 0x9c2436c1, 0x639a52f0, 0x65a136f8, 0x63050af0, 0x469cba84, 0x5c1fe700,
+    0x4ab497bf, 0xbfd0b87e, 0x224f3a72, 0x2733d7c6, 0x9cb86dec, 0x48aa672b, 0x7607d826, 0xfd31e5ac,
+    0x8e45cf6a, 0x874b520e, 0x6311f65e, 0xc82389bb, 0x44b6c125, 0xd36abbdb, 0xf920d65c, 0xfa8f97bb,
+    0x9f17e4d8, 0xf0b604f3, 0xfa1440f6, 0x1a3f15e8, 0xb876f3a9, 0x8c51b9db, 0x9158a3f7, 0x2345875b,
+    0xe5fc5dba, 0x1e7a360a, 0xb5f68523, 0xb5475023, 0x8c924fb1, 0x15a2e72f, 0x7274bd0a, 0x346b1b41,
+    0xf22909e2, 0x7703717a, 0x667d9951, 0x30924aa1, 0x33ca8e02, 0xcf820a10, 0xdc0f26b7, 0x749d463e,
+    0x150eb337, 0x48f973b7, 0xc1421a61, 0xa52627c0, 0x9af0f1ce, 0x22cfc637, 0xa9a315e5, 0xb7cb983e,
+    0xf2da2107, 0x347199ba, 0xd2e107d6, 0x78127f78, 0x8661020f, 0xee732644, 0x871ec387, 0xe56c503e,
+    0x7f296143, 0x9645dc2e, 0x99bff078, 0xa3cb5b1b, 0xd3c62717, 0xfce75de1, 0xb8c6624f, 0xa84f46c1,
+    0x5e4100e6, 0x483c6ef3, 0x6f7cc7a4, 0x1406c0ca, 0xe70bf10d, 0xbd4322a5, 0xda07a381, 0x8366c546,
+    0x9dfb27a1, 0x5ed40a5a, 0x97e75374, 0x8bcd8033, 0xba5634bd, 0xc23a35fd, 0xbe9293c9, 0x661cb22f,
+    0x3bcda1b6, 0x470d5c24, 0xf23471b4, 0x8a80b4be, 0x9d20e214, 0xddc965d7, 0x44477026, 0x631f2ba7,
+    0x726c9575, 0x23ba8c36, 0xf27199ae, 0xd4cce7b7, 0xa819297e, 0xb05ac0d4, 0x7baf97d5, 0x2435cd36,
+    0xc53601da, 0x9beda756, 0xd5c7077a, 0x25b76791, 0xfffdb94e, 0x2d1c1b6b, 0x44fba350, 0x31b95148,
+    0x6cd9742c, 0xb2509427, 0x338cbc77, 0x2fc922cc, 0xad087612, 0xa0805e75, 0xb4bcfc57, 0xd9cfaa2b,
+    0x5aa8fdcc, 0xa8c79e8a, 0x0b7b0039, 0xce94e819, 0x12640836, 0xe0b8f48a, 0x355d5959, 0xcdcf20d1,
+    0x01c41066, 0x5f442a03, 0x5863d6cd, 0x5a9828cd, 0xfe3ffac0, 0x6ed1a1d4, 0x74843b41, 0x24d05733,
+    0x980a7226, 0x89326d87, 0xfb047bdc, 0xdebbf006, 0x8f407fd1, 0x08ce4c02, 0xed180232, 0x8656e4ec,
+    0xa9fff76d, 0x7ca0b97c, 0x5b3f18a0, 0xf71f1ee9, 0x1103749f, 0xdf53ac67, 0xde4d1f6a, 0x7de78d93,
+    0xd5735f21, 0xd93001a3, 0x86e924cd, 0x85e2d82f, 0xf0137468, 0x1e08047b, 0xb618a392, 0x54101430,
+    0xc1b53ead, 0x307ed029, 0x3c30a3f1, 0xa479643d, 0x9ebc5123, 0x56f38923, 0x73d93642, 0x1290cdb1,
+    0xedd5036e, 0xa5314649, 0x6674f513, 0xb58ee722, 0x4ff3f8e1, 0x9ebf5662, 0xe1b392ff, 0x8d3fcab5,
+    0xdc1d4cdb, 0x908cd528, 0x817f5b70, 0xc9ec15f5, 0x656d94b4, 0x44895563, 0x0f844674, 0xddf04558,
+    0xcca7f556, 0xa869a549, 0xb4cd4d38, 0x0fdf9ea4, 0xc621d662, 0xb3458a55, 0x7547d57b, 0xda703064,
+    0xa11b768b, 0xefe24ad4, 0x9bbaa73c, 0x7b83a63b, 0xa94135aa, 0xb87bb146, 0xc55095e1, 0xe0901247,
+    0x09cf6308, 0x95d9cb19, 0x6156dc5c, 0xfda10da9, 0x0be89c22, 0x1778b58e, 0xec47e3d1, 0xfa4148a7,
+    0x44b41b93, 0xd6f0e33e, 0x227d687c, 0x04e800f2, 0xd7a77993, 0x8db89795, 0x20135197, 0xc2bfa00f,
+    0xed814448, 0xe60be2a5, 0x5b071a44, 0x276c66b9, 0xa2ea838a, 0xcbe2e915, 0xab4f83d5, 0x7d16bc53,
+    0x9a90901f, 0xa85653aa, 0xf6cee0a0, 0x8048d7f0, 0x43d00b87, 0xbb4cf145, 0x87eacbbf, 0x8911fb46,
+    0x9234f59e, 0x62ddace8, 0xc5655160, 0x1cec8dc2, 0x5258ace2, 0x0e8ffdfd, 0x151b693f, 0x28eadc4c,
+    0x9e6e4fe7, 0x0161d35b, 0xd1fd0922, 0x2b1b65bd, 0x5bc1be0c, 0xb8fc6c3c, 0xe5ed1b87, 0x68c8dc42,
+    0x279247a6, 0x396efc74, 0x45b22d81, 0x37339e32, 0x0832dee9, 0x5679d419, 0x5d13fab3, 0xe32be4f8,
+    0xaa1cc0ce, 0x50b68cb6, 0x355a5a99, 0xa32b9eea, 0x14a715a8, 0xfe188880, 0x4f8b8a98, 0x85d63f6b,
+    0xbf9ea0cf, 0xb49dc1af, 0xecc1d14c, 0xb57101a8, 0xbcef2935, 0x113a141c, 0xaf913cf1, 0x91082890,
+    0x11919004, 0xc9b66dd2, 0x5441694b, 0x51ab6e3f, 0xc8e69693, 0xea175e96, 0x2b3febcd, 0x1a3ac22c,
+    0x417e5658, 0x4389bee7, 0x2de66669, 0x33b1f638, 0xdbbf46da, 0x9fd75846, 0x08d27eee, 0x20fe3dc4,
+    0xc5dcf924, 0x883d5f8a, 0xae47ec43, 0x8e2b5d13, 0x1727347b, 0x72548a2b, 0xd39765af, 0xe42201c5,
+    0x20a123a1, 0xea4b0540, 0x2430fa54, 0x3a5f660d, 0x66970004, 0x43f84262, 0x48e0ebe1, 0xfa231efc,
+    0xb4979c62, 0x764998fa, 0x6b257ec0, 0x97fb8e10, 0x4bee35af, 0x685883a2, 0x3681ec95, 0x0a4648f5,
+    0xbe95587b, 0x78dd1b3a, 0xe6fe1dc6, 0xc53ec7c3, 0x7a7aaf37, 0xbef993d1, 0x2bf42614, 0xf4e70ac8,
+    0xab93c14d, 0x1f32afb9, 0xb103e8e6, 0xc23c4e63, 0x42dc0621, 0xc5474329, 0x0291ea0a, 0xf4b1b89e,
+    0x6ff8f519, 0x4c4632f2, 0xb5f61680, 0x99694b83, 0x9ec8cc91, 0x533eb5f2, 0xe1f843a0, 0xc9bf7fc7,
+    0x6e4714ba, 0x40287922, 0xaaec3cbb, 0x6d3bdccd, 0x990bd44f, 0xd5dc0bf3, 0x4a5cd0e0, 0xdcaf3626,
+    0xe2f7be8d, 0x114d2887, 0x4cdf2fc9, 0x71366233, 0xb0e1c258, 0xf974ef7b, 0xd62cce1d, 0x5924ea93,
+    0x7c515a44, 0x42258212, 0xa137cc6c, 0x1a16d0e2, 0x59216660, 0x67176e90, 0xc8c60308, 0xf1ef7dff,
+    0x50f1a9a8, 0x0df15598, 0x18ea4a45, 0x9eff64b7, 0x3144653a, 0x47587162, 0x1694141c, 0xfa174aba,
+    0x4191c65a, 0xcdd350fc, 0x6d569fc1, 0x92bb904f, 0x0402a4b2, 0x7e8a2500, 0x71c4f343, 0x3e5903d8,
+    0x1b1884f5, 0x571f2229, 0xb943dd1b, 0xcad38eda, 0x603c3594, 0xcee1a2b2, 0x487ac01b, 0x2278a5ed,
+    0xd164318b, 0x98362a36, 0x97841926, 0xdac6e06a, 0x5af4257a, 0x92fd52d8, 0x1a25ca53, 0x9bb98673,
+    0xba9fd84e, 0x021b0b22, 0xd9989b1a, 0xeb2785e3, 0xc7f08c35, 0xead9a883, 0xb2392f84, 0x455b4263,
+    0x53ff274f, 0x930ed196, 0x745f960b, 0xfcd3bb42, 0x692be72a, 0x6d7365df, 0x77911572, 0x3a0d47dd,
+    0xb714f499, 0xfd392fda, 0xca4615d8, 0xa7db9516, 0x2642c406, 0xbbd77c24, 0x006eb73e, 0x343222a0,
+    0xba12a6f9, 0x35e6fca9, 0xfa0986b4, 0xe1875a29, 0xe1be6d07, 0xd908fe2b, 0xa5a92efe, 0x87ce20c4,
+    0x5ba7cb11, 0x79e70e7a, 0xd212a9a3, 0x0e4b59f3, 0x42012add, 0x9eef0718, 0x80a727fa, 0xddf98c0f,
+    0x5f26272d, 0x17aac943, 0xbfa81481, 0x7da583f8, 0xcffbf8da, 0x1a0869c5, 0xccd5c184, 0xde8395ac,
+    0x5fe969cd, 0x8e24cfd6, 0xd658a423, 0x1e40055a, 0x6080cd1d, 0x919814d1, 0x266d254b, 0x6ef7c0bb,
+    0x49f10172, 0xc437fc16, 0xf54b0524, 0x016f0626, 0x1e95b836, 0x4c7c6951, 0x85a36ae2, 0x5be27102,
+    0x4fba8f4b, 0x11fe36f3, 0x2e0edb9e, 0x4eb72b59, 0x2acd98b9, 0xb88c84af, 0x743a78df, 0xcbf7a79c,
+    0x842ddb11, 0xbeedb018, 0xafc7f2cf, 0xca1deb35, 0xeb2f27de, 0x6f23dbb6, 0x05f74cc7, 0x65ee8f46,
+    0xcbb5433d, 0xdb251e0c, 0x7416fd5b, 0x17334a7e, 0x45594b07, 0xe163a4b6, 0x72f6fcad, 0x41b262fc,
+    0x3d39ab9e, 0x8b5e6530, 0xc9487ccb, 0x48b64ff5, 0xce73de5b, 0xb8f05688, 0xb54fdd62, 0x9db01987,
+    0x99f36f8d, 0x76e75fc3, 0x56b05f59, 0x1e8a0695, 0x83180cfc, 0x52e22cbd, 0xed714a3f, 0x6372192c,
+    0x1911830e, 0xa585ef59, 0x9ee74e60, 0xa7849593, 0xb39a0d54, 0xbf90df0f, 0xac2b95ef, 0xd13fbd49,
+    0xdfc4824c, 0x26eb138c, 0xa5137e35, 0xe389987b, 0xc8c51aef, 0xf82a266e, 0x49adb10b, 0xe7b54dbb,
+    0x6f77e051, 0x9013eae2, 0x9cd707e1, 0x2acad38c, 0x7a54a3c7, 0xe67df839, 0x7a36f138, 0x5791e61f,
+    0x3d1df6e5, 0x699ab811, 0x6c57b63d, 0x640484ec, 0x7f5c9921, 0xd2b0720e, 0x809316f1, 0x34f610eb,
+    0xd0067eb2, 0x9888d71f, 0xe0179c55, 0x66aebd4c, 0xdaddd686, 0x57d43f8d, 0x2992cba1, 0xea2f4231,
+    0x13a949a0, 0xfcf3a0d5, 0x18d686fa, 0xd10852a6, 0x5c2b69eb, 0x6174c827, 0xe9a40d43, 0xe9722a86,
+    0x6d173077, 0xc8eaa06a, 0xdefb7f81, 0xbfb58690, 0x50b5738b, 0x257083c8, 0x2e396e0d, 0x49f6a163,
+    0x8f06f1ec, 0xab39d8cd, 0x132264a5, 0x3faad8ae, 0xcb05dbec, 0xda7e42b7, 0x6609afa4, 0x1b209295,
+    0x146a34af, 0x1caeb6e1, 0x1e46ed14, 0x7c40f0f9, 0x773fa718, 0x7a481765, 0x1ec272df, 0x2f214c1b,
+    0x4a02212f, 0x9aad58c7, 0x02a72953, 0x498a3702, 0x3c881c84, 0xd7ab76a9, 0xa5661735, 0xfdd71bf6,
+    0x5b838b4b, 0xb1bc5af8, 0x96ebbc89, 0x1324b7a1, 0x0298c521, 0x88830dc4, 0x667957f7, 0x390db303,
+    0x00000000 }, /* 10**00000000000000059542628294296116473800606342185331454250300267505095498259677\
+                         11687797048224955787888157087447151129073766576998532529631515456541611261952 */
+  { 0x00000000,
+    0x40000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d,
+    0xab2020b9, 0xe1674199, 0x43f7a775, 0x47ce8f89, 0x2faad8eb, 0x42f5850d, 0x7b920159, 0x729533fb,
+    0x00000000,
+    0xa2bf3556, 0xd214a1f9, 0x1eb2ef7f, 0x1ee80987, 0xa4119b45, 0x5cd5107e, 0x377e9782, 0x3fbe47ef,
+    0xa46496e9, 0xfb1f8baf, 0x387f4b9c, 0xfb80aa88, 0x6547cf44, 0xb6bfdf9d, 0x01d87803, 0x61908cf0,
+    0x5e7aeb0b, 0x8b07471a, 0x11220a43, 0xc041e03d, 0x1bdff887, 0x1a92a780, 0x493c0e53, 0xb233667b,
+    0xebbffe35, 0x6a932502, 0x7bf07d85, 0xb538dfbf, 0xc0b7618f, 0x816abda0, 0x5050b359, 0xf5ffd7e3,
+    0xf2906be7, 0x9ad05c60, 0x9a22f201, 0xdb4aaae7, 0xbeb5fac2, 0x7cb46a8b, 0xad4ef266, 0xde3a2c0b,
+    0x87146997, 0x423c49a5, 0x75f7de27, 0x4c441748, 0x8cb32ef1, 0xf8744f1c, 0xaa907661, 0x517f3aee,
+    0x32bb41d1, 0x70d55e3c, 0x0e22d77e, 0xb3d21ed9, 0xbeb8c467, 0x6f8cb5b8, 0x6bc6a634, 0x71ed47ea,
+    0x796a3ae3, 0x13043d19, 0x744118e9, 0xbd9be2d0, 0x9df434be, 0xa4efd16f, 0x71046f39, 0x52921d90,
+    0x704da684, 0xfb23f3ae, 0xec2424f9, 0xe4620f80, 0x83ee1cf0, 0x7e5eb130, 0xf6b2195c, 0x8b32d60f,
+    0x96243ac5, 0x95ff3824, 0x9d4fbe1a, 0x508482cb, 0x581a0531, 0xa3219a9a, 0x18619c52, 0xb7179a0d,
+    0xbc3a22c8, 0x820af2b4, 0xb207b59c, 0x6f46f578, 0x125c1b16, 0x1fbf3713, 0x178118f4, 0xea203248,
+    0x60877ad0, 0xd28b3187, 0x9328b0e3, 0xc03beccb, 0x441eed1a, 0x4824c5b3, 0x4e4e4f95, 0xabccfa1f,
+    0x898480ae, 0x16fedba2, 0x4c630041, 0x563760d0, 0x254aad43, 0x4e87f78e, 0xbbb2bced, 0xf9d96100,
+    0x916a8f8b, 0x2c0f2f43, 0x1f652001, 0x0c10fb48, 0x06eaa2dc, 0x4ab5b4f6, 0x6b5c3d23, 0x337e2332,
+    0x4573c4d4, 0x8eecfda7, 0xaba191b9, 0xc8c1745d, 0xb95ede56, 0xecfc762f, 0x3404cd1d, 0x7aa1d8ba,
+    0x5fc2e8e9, 0x6d37ffe6, 0xbdc2f574, 0xd4498442, 0x95429eb9, 0xe6011555, 0x73ab673e, 0xe4298108,
+    0x39a14ba2, 0x41eeaa25, 0x55f22a95, 0x72f6d038, 0x9a386db9, 0xb36c30c6, 0x70d3e1e2, 0x1a77d26a,
+    0x911083fd, 0x30f47ac1, 0x164ad914, 0xd36ed95b, 0xd090ba24, 0x9c037ce0, 0x599485f2, 0xd2c190c3,
+    0x02d3feb2, 0x70c3b279, 0x493753a9, 0xf9964d84, 0x25b31425, 0x58a4dbea, 0x9be822a1, 0x551a5142,
+    0xbdf7084c, 0x274c80f8, 0xb149dd65, 0x10df7a23, 0x3fb8e4cd, 0x383e2923, 0xe6acddef, 0x21ad550c,
+    0x76a47bb2, 0x718edd97, 0x54d74c32, 0x0c6e0796, 0x2b3349bb, 0x01888334, 0xe388aa91, 0xa18fa386,
+    0x6f9ab63a, 0x56a2e4ec, 0xbd07a48f, 0xd4b32087, 0xb3f773c6, 0x1edf5858, 0xd26a0d65, 0xaea77fd4,
+    0xeb6022ef, 0xcce34519, 0x564d8a5a, 0x76445538, 0xb4968213, 0x71df5421, 0xc629e0e5, 0x1915e638,
+    0x847445c6, 0xf98951bb, 0xdb5fc01d, 0xfda07271, 0xeaf35e10, 0x28feac84, 0xc217c818, 0xbfff9ab3,
+    0x49708170, 0x583cfec9, 0x620d53bd, 0x2eabd722, 0x91faf83d, 0xf6291588, 0xeeee3541, 0xcd233bfd,
+    0x945b3853, 0x1766e05c, 0xf28e6710, 0xc10f02a7, 0x145ad73f, 0x4813a0ba, 0x517ee999, 0x8f78ed40,
+    0x872bea2d, 0x26f29130, 0x2eadb2e2, 0x47de507e, 0xe8b9c2cf, 0x21b50f45, 0xc17a2710, 0xdf7c210e,
+    0x2a2ee07a, 0x0cbd83ff, 0x91dc29fa, 0xa77112ba, 0xad9d89c4, 0xcb835b41, 0x1c1756a6, 0x4ccfaafb,
+    0x53d7d730, 0x1cfed023, 0x28d4961a, 0x51b401b6, 0x8402343c, 0xe3c70463, 0x6c56bbe4, 0xa1608d8f,
+    0x24575c13, 0x0907e11c, 0xd5882bd0, 0xbb0d4ede, 0x2123bf74, 0x5d00e3bf, 0x32f1f07f, 0xcc3c6efd,
+    0x76ca4b4e, 0x590c7772, 0x9f4ba496, 0x4dab8a18, 0x8e458c88, 0x9f500472, 0x20251a98, 0x806b6dfe,
+    0x0c788356, 0x3f2a1665, 0x3a249174, 0x9d6ba0d4, 0xb6c5dfe5, 0xa916060e, 0xa9e46f4d, 0x4f289236,
+    0x5553f85f, 0x4cc770dc, 0xe889f443, 0x3a1885a8, 0xbee854f8, 0x7b7a9bdc, 0xb636d496, 0xdf40e3e6,
+    0x18185073, 0x017948a4, 0x99a7af84, 0xd3ea2e2a, 0xbd8874c6, 0x85d04920, 0xf7007478, 0x52272c0a,
+    0xdec26a2b, 0x6f8560d3, 0x6d5303aa, 0x40ddb40f, 0xf958070a, 0x4b45dc6f, 0xb706142b, 0x6c86dc12,
+    0x523d4d0d, 0xee04df91, 0xee55d231, 0xf949af33, 0x3fb63236, 0x99867fc1, 0x374af52a, 0xe0e5494e,
+    0x541a439c, 0x3206fc9c, 0x0ea54d2f, 0x6859c561, 0x7bae530b, 0x79d526ae, 0xe93b5b5d, 0x5b7a79ff,
+    0x918128fb, 0x042228ff, 0x7f55ca1a, 0x389fc127, 0x537af950, 0x98f2646d, 0x513a4214, 0xde28e344,
+    0x7f0be99d, 0x8daaa464, 0xf75bd8cc, 0x8ffc280b, 0x2f84ff2b, 0xd00e0070, 0x8773e601, 0xed8c228a,
+    0x2a9685b3, 0xc860c232, 0x72f6a837, 0x76dc7622, 0x531ceb1b, 0xb1511dcb, 0x207f21bc, 0x05084a1c,
+    0x5a920e71, 0x35eae2cb, 0x68573185, 0x51fff2e7, 0x7ebffd71, 0x05dfc243, 0xa03c79a0, 0x4f380144,
+    0x9bd82abb, 0xa61f7103, 0xbf318b9e, 0x929b71d9, 0x438ac606, 0xfcfec602, 0x371b4510, 0xa7ec0b53,
+    0xf9862157, 0xb2d7fd8b, 0x69598063, 0x9e154694, 0x90d8d585, 0x285c84c9, 0x36a0eebe, 0x45e5caae,
+    0x5e028028, 0xd8c6e5af, 0x446180e8, 0x28701740, 0x628ecdc3, 0xb58e6e4a, 0x20325428, 0xa0b460b8,
+    0xbad5a19a, 0x82e1deb6, 0xa6b00ad6, 0xf3e4d5bb, 0xdc840082, 0xb5d1745e, 0x7b430483, 0x321e501f,
+    0x56a8be41, 0x4b894e86, 0xa9734f85, 0xf60e82cc, 0xb680baea, 0x83677914, 0x163faeb4, 0x7da3cf97,
+    0x4b3b883c, 0xabc66140, 0x3d5c527d, 0xfeca7cb9, 0xe57d2867, 0xc98b0e1c, 0xe4b1061a, 0xf51434e4,
+    0xdcdacbf3, 0xa40156ce, 0x4948af4c, 0x8af0368c, 0x74f79076, 0x708d8fdb, 0x7eda1528, 0xabb2b4c8,
+    0x8bc502eb, 0x9b49c7b9, 0xdd8a9556, 0x74383283, 0x8acfc3fe, 0x6af44feb, 0x56c05ad7, 0x39f10092,
+    0x299a4340, 0xae132b89, 0x04bff51d, 0xb682bb8d, 0x4cd89400, 0x2b59e742, 0x6795df18, 0xe5a7dfed,
+    0xa1144e8e, 0xd55fbcde, 0x4b52d70d, 0x5c57267a, 0x094f631d, 0x453a540e, 0xb104c62f, 0x945c0962,
+    0x6fdc7c89, 0x30e60faa, 0xcc56107a, 0x205cde71, 0x88c1ac14, 0x4bb75df3, 0x6a0c986b, 0x18cc03d8,
+    0x31251a53, 0x16fd31fd, 0xa6389760, 0x6cb63520, 0xac0042f9, 0x374f6a32, 0x1882c74c, 0x404d63bc,
+    0x79d1611e, 0xe1f7bc30, 0x85df4bf5, 0x3ae99825, 0x13ad6994, 0x734b3bc7, 0x3dd59ae2, 0x895fcab3,
+    0xd52cba24, 0xb9c730bc, 0x12b95ab4, 0x88d9efa0, 0x6961ffd7, 0xbfae1f44, 0x3e3c1a87, 0x9e3c8965,
+    0xc0838425, 0xea04fdfa, 0xb1412a86, 0x3c7f6685, 0x1042a90d, 0x7622e770, 0x88e48915, 0xa51be681,
+    0xb9c124e6, 0x3253f1f0, 0x5c98520a, 0x72461e6b, 0x59a35e8e, 0x17b034a8, 0xb412e318, 0x7ee8d1b0,
+    0xd99fc8f8, 0xda782a25, 0x789defbf, 0x5001d6b9, 0xcc9ca2af, 0x23d01ded, 0xe2adf0c6, 0x1ff3b468,
+    0xc3a3b505, 0xc58fc5d8, 0xf13a95cd, 0x1e7086c0, 0x590b90b7, 0x28bb5379, 0xbb8879a2, 0x28053c03,
+    0xe9aad026, 0xa883e78c, 0x66ade865, 0x82589033, 0xcf253755, 0x6a9fe869, 0x77d84b43, 0xfbf6ec60,
+    0x6755e7d8, 0x27f5be4a, 0xbba8f4c0, 0x1fe4b0b5, 0xa441ee9d, 0xde50fe30, 0xf393ced8, 0xeece63b7,
+    0xfb19b70d, 0x08de462f, 0x507db9e7, 0x84158d9d, 0xb2f172eb, 0xa069791b, 0x9505251c, 0xf94e3364,
+    0xacfe590e, 0xb9d9e32f, 0x228405fb, 0x99636415, 0xee4711b1, 0xcc03fc02, 0x76006158, 0xd047479e,
+    0xa1bfc521, 0x3b98a044, 0x42d6897f, 0xad97ede5, 0x0178fbe2, 0xe496bd73, 0x68562abc, 0x833038a6,
+    0xe1005742, 0xfabff635, 0x5928b888, 0xf636f405, 0x69974850, 0xc3b7a8fb, 0xeb35214e, 0xd4f85e7e,
+    0xfbfac51d, 0xd0c49b04, 0x922cb1a3, 0x8aebd760, 0xad24a75c, 0xc65fa4e1, 0x891ec7ff, 0x4d3f3326,
+    0xde99e8cb, 0xae8c300a, 0x28fd7ed1, 0x9ec8d999, 0x2f7f94e3, 0x734b668e, 0xf8becb71, 0x854e0576,
+    0x50d4fe7c, 0xce905d2b, 0x881a6c3d, 0x3b0a3944, 0x194ba968, 0x7a90fb11, 0x62bd2652, 0xb02cdb90,
+    0x8cd8dbe5, 0x74f09ec0, 0xd9058697, 0xff20e1b9, 0x0126771b, 0x4c0e5f0f, 0xf09fc399, 0xda2cc506,
+    0x22d3365c, 0x4b540bd8, 0xc8f1e576, 0x94918457, 0xd9d5b599, 0x35ede543, 0x143e7690, 0x19ba5e00,
+    0x2b0f43ac, 0x7b00c30b, 0xf8c1a2f6, 0x06efbcdc, 0x663b7527, 0xd63a135d, 0xdfa421a1, 0x5a1bce31,
+    0x92ed6f58, 0x3d1ce3b6, 0x255d0cd8, 0x24f9ca7c, 0xa9b3c83f, 0xd42872e9, 0x615e305d, 0x2dffdfb4,
+    0x72f8c3b7, 0xd864e51b, 0x83ede17c, 0x787bb8b1, 0xb4092754, 0x77b94196, 0xa13f76d7, 0x3568ae69,
+    0x726a4709, 0xd776b94e, 0x9653e735, 0xf233e592, 0x39504f2f, 0x2f18205b, 0x93bb4140, 0xababecbe,
+    0x6f936795, 0xac661a09, 0x158c121b, 0x3b5de35f, 0x82af798d, 0x40184c44, 0xe3adc0dd, 0x6241469d,
+    0x01a0bfa5, 0xe9b1f2bc, 0xa329b731, 0x9c9ad6ee, 0x646e26f7, 0x8703e64f, 0x5d89fee4, 0x3a3ffc70,
+    0xd1530a4b, 0x80db85de, 0x55c5a487, 0x8acb3c50, 0xc4e07892, 0x85bdbb76, 0x748258cc, 0x0304b8da,
+    0x3946f040, 0x32ea3a06, 0x1e1e008f, 0x20b4b5df, 0xa5d98cd6, 0x15efc7ad, 0x1851998f, 0xb9b2b3bd,
+    0x1a7f054c, 0x39288560, 0xc63df93a, 0xa3cd502f, 0xbde1deca, 0xec05c50c, 0xb51dbfe6, 0x0f2e24c0,
+    0x1a8bae14, 0x4997a4ca, 0xf649b4d8, 0x67e48a44, 0xfcc00df2, 0xad7909c6, 0xa1aceb1f, 0xcf01d927,
+    0x17375569, 0xd88c6c09, 0x4bd9be90, 0xbeb73348, 0x0a4e591d, 0x16784a3e, 0x4b8280e1, 0x403c83f9,
+    0xd009f4e7, 0x9cc45d4a, 0x7443510b, 0x2a623a90, 0xa7403e12, 0x2c37db62, 0x321c7f31, 0x2b6616c1,
+    0x5a42a8c4, 0xcf189bc0, 0xf8f5c0d6, 0x1c1d553a, 0x9c5a162b, 0x6e8351eb, 0x4705a530, 0xb83d02ee,
+    0xf37b8d33, 0xfd7afd34, 0xe39d21be, 0xbdae1b80, 0x142a21bf, 0xbe26541d, 0xdf5eaf93, 0xc3af5fc5,
+    0x532fef92, 0x0e7b09a2, 0x1f4788a7, 0xf4c4c69a, 0xb504b081, 0xb331851b, 0x99257357, 0xae9a5790,
+    0xfca3ed20, 0x9aec5b87, 0x96cf38fa, 0x5577be49, 0xd7c92cc7, 0x50af54d0, 0x169d11a5, 0x1796eecf,
+    0x622e9f30, 0x4fbcfa1f, 0x5aedd2de, 0x973514d6, 0xc8d375b5, 0x45286a1d, 0x18e72408, 0x6bc1d2ed,
+    0xc2d30a84, 0x6324edaa, 0x5521b686, 0xb9b049f2, 0x485ff68d, 0x825c2ad4, 0x61346da7, 0x50e1caea,
+    0x2f12b8e1, 0x3f292fb5, 0x51396b93, 0x30f6a0f7, 0x0fb710da, 0x488d3c8c, 0x6aaf208a, 0x4e5eef48,
+    0x2fb36cd6, 0x49499306, 0xf13d8d7e, 0x973e76c0, 0x86dd5bc0, 0x479b6fab, 0x2adf82f5, 0x5be6494e,
+    0x507379d3, 0x5c70d675, 0x26ec6168, 0x05eac399, 0xc7081976, 0x9a09f6ab, 0x6b638d3d, 0x77b8f85e,
+    0x2ead81e1, 0x47bd9472, 0x427583b1, 0xaa0e65a3, 0x9f7aec7c, 0x4aba3880, 0x9e7e76b9, 0x528ccc28,
+    0xab37f5b4, 0x131229ef, 0x3bc2e534, 0x11cbed6b, 0x9e548416, 0x120672f6, 0xa5e64a3d, 0x29e83551,
+    0xc30761c6, 0xa15b6e23, 0x8288e99c, 0xf5af6ea4, 0xa302590f, 0x4cce2a17, 0x48c256f5, 0xebd7fe52,
+    0x64a22d33, 0xda2d8f68, 0x85644d19, 0x71683311, 0x5a6d40cf, 0xc9bccc2c, 0x6c0c6320, 0x196bec83,
+    0x655373b3, 0xeaf1b7ff, 0x94035a1b, 0x9d2011ad, 0x787a4661, 0x0755080a, 0xcf01ae19, 0x0e707066,
+    0xb24fa81e, 0x62dccbe5, 0x4fbb0262, 0x9f47cd4d, 0x54594587, 0x01ee4216, 0x0bf48d5d, 0xee2a5bac,
+    0xea40d20d, 0x82e69dfb, 0x45a99727, 0x9af15c00, 0x662cd98a, 0x88e6ed62, 0x23612cb0, 0x6dd33af5,
+    0xf9c354ef, 0x1ca0d3e5, 0xa10e2270, 0xb3889abc, 0x9128c9b1, 0x5f982097, 0x88b66747, 0xb1f3ae8d,
+    0x37354e6a, 0x3a688aec, 0xf487172c, 0x2d7542c5, 0x36f3f0a8, 0xe039d74d, 0x8e685cc2, 0xde6017ce,
+    0x85b278e0, 0x5180ca08, 0xff1be2aa, 0xd8ec57f8, 0x27bebe48, 0xbf88115e, 0x186decbd, 0xbeaeb367,
+    0xbd7cf0b6, 0x6e07518f, 0x2604f50b, 0x42fbef55, 0xf316287e, 0xc21f16b9, 0x60eaba1a, 0x53e6be5d,
+    0x097383b5, 0x4f842d89, 0x70457e81, 0x538d2541, 0x0713b560, 0x1234f67b, 0xeefb5091, 0xb7f484d7,
+    0x0fd83fff, 0x43abe4d6, 0x6e51ca17, 0x580100fb, 0x60309355, 0x777b02a1, 0xad6892c4, 0x09424d41,
+    0xcd57616d, 0x60b3d481, 0x0a926c2d, 0x07d86252, 0x14b2a2e5, 0x13b21e23, 0xa006035b, 0x03e66360,
+    0x8c1ef8eb, 0x15cf495a, 0x73aa3564, 0x234bf418, 0xe4771385, 0xe434dfca, 0x6069038d, 0x768ca15e,
+    0xadfb996a, 0x29e9c0ed, 0x7267a441, 0xd0b605a8, 0x9a83b442, 0x233e3296, 0x5e3870a1, 0x0d7f4e14,
+    0xe4f9d66a, 0x351ba016, 0x76101afd, 0x420f23cf, 0x65b9bba8, 0x18420247, 0xb558d1e3, 0xa477b55e,
+    0x889f7d8c, 0x90f663c3, 0xe87ffe3e, 0x65acc9f7, 0xfcd3a6ce, 0xfed57daf, 0x83cfc2cc, 0x61c73765,
+    0xdd429b95, 0x4e9fb477, 0xceb62a39, 0xbf5aeb48, 0xa13d76d0, 0x2fdccc51, 0x651375ed, 0x75fc9c7c,
+    0xa0a47fc4, 0x1f31a3e9, 0x4f2cb329, 0x8e62f565, 0x86e4dcdc, 0xefc20c6d, 0x83d15317, 0x83427995,
+    0xee3f0cac, 0xb48418de, 0x1327f1f8, 0xf78ca132, 0x2291e0a8, 0x275716e8, 0x3478fbb8, 0xd1df1e89,
+    0x3ca08683, 0xceebe5e8, 0x9c9f9d3d, 0x7c61e8a4, 0x2a359e1a, 0xa7178e97, 0x4b53f8a5, 0x1a573dbd,
+    0x6be3f727, 0xfd6c75e4, 0x35a65857, 0x4b817ea2, 0xd1ba4441, 0xc823b664, 0x811cff48, 0x9eb6a54e,
+    0x9957800b, 0x41503d11, 0x2fc28e10, 0xb1c91dd6, 0x5ca127fa, 0xc5d1b978, 0xd0246d15, 0x3ee47432,
+    0xf5cc6d1c, 0x39563fdd, 0x1cd15981, 0x382c59e6, 0x8c4a5773, 0x3e38937f, 0xa57d4a61, 0xe7d10865,
+    0x00140186, 0x7a9bbe9a, 0x6adf97e5, 0xc1c7c8ef, 0x68f872c7, 0xddd1f04b, 0x23d4156f, 0xdbe5b04b,
+    0x362e1c9f, 0x818586c6, 0x2ec4e222, 0x1105f041, 0x231ce9f2, 0xde3d1b98, 0x0f691fa4, 0x8446386e,
+    0x1906f515, 0xb6107c75, 0xfc53376a, 0xf8f492e5, 0xb450b86c, 0xbf26afd1, 0xc76c8318, 0x780ca4a8,
+    0xc1d7c08e, 0x4a37cdff, 0xceb57292, 0x2bf1715a, 0xd62227e2, 0x039c578d, 0x693fba73, 0xd22391d7,
+    0x65088e7e, 0x4594eb19, 0x16a25c09, 0x7fe15483, 0x8f5df580, 0x385d0d71, 0x2e5ae56d, 0x83fdc27c,
+    0x7447064f, 0x2252149c, 0xc16bc5af, 0x9fdcfce3, 0x9ae42f74, 0x5d13e5ad, 0x11713f0e, 0xdd60d8f7,
+    0xe3bdb3b4, 0xdbca194c, 0x0ff8cf00, 0xf2799fa8, 0xd49d77c6, 0xc9a01db4, 0x587c668a, 0x68cb3a75,
+    0x646b0c91, 0xf5577e59, 0xdf0ce7fe, 0x6406844e, 0x9364b931, 0x0b269cce, 0x3fe54edc, 0x4cdeea06,
+    0x762c9dd7, 0xf026466d, 0xcf351042, 0x956f2611, 0x47362ca9, 0x9055ea8c, 0x8df6fb90, 0x4cfdf57e,
+    0x1e17fa6c, 0x0fd5b8eb, 0x895eb69d, 0x43cca33c, 0x0b39e59d, 0x401b2c18, 0x61d63367, 0x74705b59,
+    0x00000000 }, /* 10**00000000000000029771314147148058236900303171092665727125150133752547749129838\
+                         55843898524112477893944078543723575564536883288499266264815757728270805630976 */
+  { 0x00000000,
+    0x40000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236,
+    0xd590105c, 0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c4, 0x97d56c75, 0xa17ac286, 0xbdc900ac, 0xb94a99fd,
+    0x00000000,
+    0x9054e23e, 0x5c985768, 0x36886ff8, 0xd8815815, 0x358dcc0b, 0x426cc9f8, 0x1daf32e8, 0xdb838452,
+    0xd0e5a804, 0x5794f731, 0x76d0fee3, 0xac0a4e86, 0x1402a2eb, 0x2cfc6788, 0x4607079e, 0x1407bf43,
+    0xe4d9934a, 0x6c0dc928, 0x1ac3a465, 0x9ed05263, 0xbb19a69c, 0x7aa1d72c, 0x3035b0c1, 0x9164523e,
+    0x65693665, 0x87e69d04, 0x1f16f65f, 0xdf7cb778, 0x08dc95c9, 0x3f463cae, 0xa0cca9ac, 0xa0f302dc,
+    0x822436b7, 0x6907d95b, 0x4c61ae29, 0x11d0ee64, 0xc1240b1b, 0x36327785, 0x4356517a, 0x490445af,
+    0x9bb73a44, 0x63b287b4, 0xcd9c909c, 0x43477801, 0xcf34aa1d, 0x04fd6a01, 0x3d0a20fa, 0x04c3f383,
+    0xf59bbdc3, 0x6afbbceb, 0xf5376233, 0xbc3addc4, 0x316ca1d0, 0x95540de8, 0xa51f4355, 0xe27dc42b,
+    0x0e9bd3b9, 0x30cb1a51, 0xccbc384e, 0xd510a5df, 0x3d285616, 0x9936da67, 0x060eb125, 0xf3779298,
+    0xd677db4c, 0x947960ca, 0xacc34c73, 0x54a96719, 0x6c13efac, 0x637463e0, 0x2387062f, 0x6e464c98,
+    0xa742e344, 0x22a996d5, 0x540c82fc, 0xf7bba054, 0x65034268, 0x5b75e659, 0x246d2034, 0x53e11b35,
+    0xe97a31ae, 0x41fc809f, 0xb9743fc1, 0xea174cec, 0x3e43cd8d, 0x23d6c1b0, 0x42799503, 0x94823d9a,
+    0x4ba09ab7, 0x15aa9431, 0x0dd69f98, 0x96442930, 0x2239d07d, 0x5a1dab71, 0x8212740b, 0x2c5a79a4,
+    0x53f1c0ed, 0xf65e650b, 0x6b2aac6a, 0xc3b75af9, 0xa86d52ba, 0xece7a3b3, 0x5f89214a, 0x3308ef4d,
+    0x3b74eeca, 0x186f1177, 0x59bc2b7c, 0x11fd6f01, 0x0eeb1496, 0x63438696, 0x5db79416, 0xe63a541b,
+    0x669629b0, 0x1e5f823e, 0x1812f7d9, 0x3513b9d7, 0x300ce953, 0x84b7d36e, 0xffa4f9c3, 0x7e7c0c9e,
+    0x16ce8240, 0xaf657a2d, 0x9ee8f460, 0x5ab1ffb2, 0x3e79b35e, 0xbf6b4d72, 0x1da39b3c, 0x05f21949,
+    0xaed48cfd, 0x61f02e19, 0x34042521, 0xf267a799, 0x6dc8fe30, 0x9cbe40c1, 0x1599d509, 0x0ff54bae,
+    0x9ae78f7c, 0xeb2ba76a, 0x207f936d, 0x72e180dc, 0x6754aefb, 0x1d5caea1, 0xc008b194, 0x7993de58,
+    0x1a6beb7e, 0xb9f3b06d, 0x74c72aee, 0xa82a59dd, 0x69f9af22, 0xb332d72e, 0x74964155, 0x4774e3d6,
+    0x80b7cfe9, 0x716b4077, 0x1ab8d8b7, 0x289816aa, 0x22e985d4, 0x06b77fd5, 0xe4e28a63, 0xb1932fcd,
+    0x9f2af1ee, 0x637ec00a, 0xa3c5f096, 0x6e305e54, 0xab766146, 0xe9f8e2ef, 0xbe5e685f, 0xc11755ba,
+    0x57c8d635, 0x21c0122c, 0xeb2ad3ef, 0x3f3505c3, 0xa3b2208e, 0x1c7cc344, 0xc7ee25f4, 0x7f00c97e,
+    0x9373f840, 0xfb19090e, 0xdd45fd10, 0x0c547070, 0xd4e86947, 0x9b3e2599, 0x6d4c132c, 0x273783db,
+    0xc683c1fd, 0x4596e73a, 0xedf56285, 0x99472c06, 0x2b66f5ef, 0xb0e435e7, 0x6cc322ca, 0x043398d0,
+    0x56799102, 0xc5917d53, 0x98799597, 0xbbd81531, 0x979c4472, 0x7100c77f, 0x35cd2aa1, 0xff13fc65,
+    0xa6ddb360, 0xfdbdbb83, 0xbff6fd17, 0x578764e8, 0x96f56070, 0x426a26db, 0x213744e6, 0xb10debf3,
+    0x673a521d, 0x81c32a16, 0x2203d804, 0x5fe9c7ce, 0x80a9eff4, 0x91245e5c, 0x8d9b66fe, 0xfac09fd9,
+    0xf5b03186, 0xb8dbc74c, 0x43ecdb4a, 0x4803005a, 0x8f864b21, 0xca045124, 0x372d3ed2, 0xcace862d,
+    0xef722bf3, 0x19a55ebd, 0xcee453f0, 0xd3a9b02a, 0x59342738, 0x6785976e, 0xdbf2c415, 0x303df50d,
+    0x23a64407, 0xedae5fd8, 0x5aff5c74, 0xdd096c41, 0xdc973d70, 0x04009943, 0x3dbb9e32, 0xe74427bf,
+    0x90193310, 0xcb7c3823, 0x4f13267d, 0x501b29c3, 0xd751470b, 0xc5d5bc78, 0x8eed0900, 0xbf13ec61,
+    0x4e9daeea, 0xd318f0db, 0x3cf353af, 0x79351dde, 0x43fe4ff3, 0x53f6fd37, 0x20fc3fd4, 0xee2b5cb3,
+    0xeb3e3f4b, 0x6483fc34, 0x54830b0e, 0xd1415419, 0x6117d47c, 0x7e74cf69, 0x184bf11d, 0xe30fc888,
+    0xcfea8d15, 0xa9e64e0b, 0xb1e30c67, 0xaf04d1fe, 0xf499178b, 0x6474f4fa, 0x416771a3, 0xb433a33e,
+    0x63b36c5e, 0x0568b7be, 0x46442c40, 0x28306e7a, 0x43fef2d2, 0x3b643d71, 0xc976f4e0, 0xd76faad2,
+    0xc2dcb218, 0x6102bedc, 0x3425cb60, 0x0623f71e, 0xe2f5ed4f, 0x5f452f06, 0x050a73d0, 0x1f36346e,
+    0xab25938b, 0x6727e525, 0x9c52dc5d, 0x71198bf3, 0x1729834d, 0x0477716a, 0xe1cc24ba, 0x3c25cbd5,
+    0xce850db7, 0x9046c3d9, 0x05460c37, 0x711fcdb9, 0x6cbd4cd7, 0x724e5c89, 0xa93010ac, 0xb931da3c,
+    0xaac05580, 0x0386cdf9, 0x1f368d66, 0xd932085a, 0x241fa8e1, 0x598b46b7, 0x1839ccbe, 0xdd4d2bc1,
+    0x78a53635, 0x8e5d9e4b, 0x12276296, 0x9343408c, 0x077ab655, 0x20d6d993, 0xc28c7215, 0x4546cae8,
+    0x69fb8493, 0xd2528d76, 0xb62a7f7b, 0xf928ce92, 0x8fdaaba2, 0x73112919, 0xe990e578, 0xb1017631,
+    0x482e6366, 0xb9148c46, 0x2620914b, 0x71bacff3, 0x0a63ee51, 0xae357839, 0xd99dd62e, 0xae6f3a35,
+    0x659e1aed, 0xd7543087, 0xa61fbc70, 0xd61abb54, 0x040213c7, 0x662f3805, 0x9e2c062e, 0x4ec7d1fc,
+    0xbbc096cc, 0x9f1677cd, 0xd8d91f99, 0x0203f13b, 0xbb89b36e, 0x7971e641, 0x41406d83, 0x4f4bd31c,
+    0x6dec7d1b, 0xf26c0353, 0xa2e17df1, 0x3f789c34, 0x75f2be7f, 0x22dcaf12, 0x75c68001, 0x593a4a99,
+    0x60e34077, 0x101190f2, 0x86eaf57a, 0x1f24e29e, 0xe57c5ff9, 0xd1bb894e, 0x75efd553, 0xcefa6925,
+    0xf75300e9, 0x6280ac8e, 0xe57abe8a, 0x0efd4879, 0xb23ae01b, 0xa63b8df0, 0x5fded58a, 0xa26d2601,
+    0x436b713c, 0x69af6f98, 0x0eb38355, 0xe0dd3ca8, 0xa2cfbd82, 0xf79bb19e, 0xe94cd112, 0x83661bf4,
+    0xd1fa10e5, 0x35496260, 0x51950911, 0x3ef5f723, 0xf31dc1cf, 0x420848eb, 0xf2e07018, 0x8041165e,
+    0xa4a3e5c9, 0xb59bb52b, 0xd897ae61, 0xa84c6de6, 0x6dac2e71, 0x5e89327d, 0xdfb3a632, 0x327cd689,
+    0x59cd993c, 0xe341b23e, 0xd48b08ea, 0x1a8b81dd, 0x6565a349, 0xc7eb842a, 0x4b79528c, 0xe8156ce9,
+    0xbc9ec204, 0x99e42204, 0x7296c5bc, 0x7b2f31c2, 0xd674b0f4, 0x627dcef9, 0x3ee3bf45, 0x6367f7a3,
+    0xefaa2f52, 0x8342e2f0, 0xd25ab598, 0xa27e8bde, 0x388b7f9f, 0xa740b24a, 0x6f6c8932, 0x78e7301c,
+    0x2d01d51b, 0x88c89f35, 0xb3a534f0, 0x075a4a53, 0x0f05fd28, 0x5170adb5, 0x24d0ac42, 0xf5ffbde2,
+    0x414de509, 0x2a2a7b10, 0x068f405c, 0x78571180, 0x295ccb5d, 0xb7f5f69e, 0xde9cd726, 0x5293c136,
+    0x3e7025bb, 0xf237752b, 0x9f7ac552, 0x5583e20a, 0x423cce69, 0x0c6d950d, 0xde09bf34, 0xd31cef0a,
+    0x097873ff, 0xf8186a7c, 0x1f61bdd7, 0xd21f81b2, 0xba20d7b7, 0x6c61b746, 0x8d938c77, 0x1ccc21a1,
+    0xc0f18c68, 0x1075dcd0, 0x8d9ea200, 0x89a84d93, 0xd1ac6156, 0x9061e1b3, 0x2ba0ef87, 0xc7b190ac,
+    0x0a9f18f3, 0x9b3e823b, 0x3c776095, 0xbb823066, 0x5b567517, 0xb5619030, 0xaf01b078, 0x7a75e953,
+    0xca258703, 0x1189bc0b, 0xef49fc92, 0xc0abc155, 0x31b4cf01, 0xa3aa56f7, 0x367ade91, 0xfa0a86af,
+    0xe6e23e28, 0xc18072de, 0x60e515cc, 0x6b128809, 0x4df31464, 0x92a6e9a3, 0x76994f8c, 0x4d19cc2d,
+    0xa72fe497, 0xc542811b, 0x4af44aba, 0x64a5a614, 0x2967d9ae, 0x7717c1f9, 0xbe8dc719, 0xbfc5fd39,
+    0x3eaeefe8, 0x62ea948f, 0xe64714d3, 0x56814ca8, 0xbcbe2f36, 0x916b6e00, 0x968cc230, 0x030dd6c5,
+    0x28b3e9e9, 0x1dd11503, 0x8586f948, 0x4602eb64, 0x6db2b25d, 0xf91c5441, 0x6bdc3129, 0xd771a530,
+    0x6bfc3832, 0x1415cdcc, 0xff7ca169, 0x53f76a97, 0x1231b699, 0x1e631b00, 0x851b2677, 0xca987d47,
+    0xb7a3f1c1, 0x55c211db, 0x0882ac37, 0x8deee7aa, 0xecd67d79, 0x1e03a64a, 0x0b37809c, 0x25c2905d,
+    0xb85797fe, 0x62b12210, 0x3f474c79, 0x78ae9180, 0x84a77393, 0x7cfa1606, 0x829a863c, 0xeae1d817,
+    0x2b723eb7, 0xe01fa3fd, 0x00bbc2c0, 0x3122c7e0, 0xed42fadd, 0xbb48af59, 0x12826ca4, 0xb643400d,
+    0x7b64aa33, 0x9b1870b2, 0x05efa138, 0x92cae47c, 0xafdde273, 0x6d97b5d0, 0xa58757ff, 0xfb28cbee,
+    0xb70b9541, 0x891bdb03, 0x435477a0, 0xc301494d, 0x7cb72766, 0x4b62c5f4, 0xd9ab117a, 0xf0143c82,
+    0x611dadbd, 0x821d7db2, 0xef51c488, 0xe9febf6c, 0xf6d6bc4b, 0x49b21c4b, 0xbb8c0824, 0x3fb69301,
+    0x4e728b20, 0x2287f9ba, 0xa7bcfc4d, 0xccd48652, 0x4c86bd20, 0x69abb2ce, 0xf3258e3e, 0xe5152953,
+    0x4a865e87, 0xd2ea0017, 0xad4e117d, 0xa7412934, 0xd2dd4dad, 0xa2832ab3, 0x8c5364c5, 0xb2c03125,
+    0xb876e1cb, 0xf5d8fa82, 0x6544e91e, 0x28625b65, 0x2effe4bf, 0xf1cca38b, 0x67dd073b, 0x8926dfbc,
+    0xace35e9a, 0x4a43672a, 0xe83d2b06, 0xd47a9bc1, 0x89fb9f6e, 0xf0973265, 0x9bdbd963, 0x3733d8e5,
+    0x575d92c5, 0x47ce9340, 0x079afbf9, 0x4e6160fd, 0xbd5b6cf6, 0x05bf09c3, 0x419125d4, 0x10d46e46,
+    0xe9a4ae9d, 0xd931f07d, 0x58a68d73, 0xaa679b48, 0x9a486eaf, 0xf235b379, 0x36de7852, 0x84e7018c,
+    0x82abef43, 0x8ef0ae0c, 0x73e73bcd, 0xfe60087d, 0x9b4b20a9, 0xe2bae61a, 0x5796c44b, 0xf944e090,
+    0x28dabadc, 0xbbeb4d7c, 0x52f18629, 0xa3c376d1, 0xaa91c67f, 0x4293a7a8, 0x77ffeb85, 0x26269546,
+    0x8de4a40e, 0xaac1f8c9, 0x20eba740, 0x939ea393, 0xb44a0ca3, 0x34fea9e9, 0x3759eb18, 0x2b950bf3,
+    0x629c54e1, 0xf0aad48c, 0xf5008fac, 0x8f6869fb, 0x1c5c89e7, 0xb05fe919, 0x402fd7d2, 0xf822791b,
+    0xea22f8e3, 0x11d93edc, 0xce905f63, 0x3a6c191c, 0x3e689ff2, 0x4f0ac765, 0x7a62e080, 0xc8415254,
+    0x4da2e7be, 0x9b0508a7, 0x22a63bb9, 0x9d2d3dbb, 0x39acaec3, 0xbd8e6886, 0xd57ab08f, 0xe8db9d96,
+    0x508937c0, 0x8a19320b, 0xf639cacb, 0xbc61809a, 0x4f8976fe, 0x63bb64c2, 0x6203fc0e, 0x0d41ac1e,
+    0x6fe4cb2e, 0xad5f5673, 0x84f2f5d5, 0xabbc3c66, 0x09beef14, 0x92140824, 0xd2e0171e, 0x6a1c86f1,
+    0x7b4a449a, 0x72079f99, 0x090f8a50, 0xba101a7c, 0xaf8148ab, 0x8accda95, 0x1a4ae484, 0xf002bfb5,
+    0x8ef58f28, 0x5941eca7, 0xdc7df1c7, 0x10d500f2, 0xa226f887, 0x09fba150, 0x585fd41a, 0x504244f2,
+    0x024efb28, 0x3a1563d5, 0x357c64b9, 0x2b9d6f37, 0x31497d6d, 0x997267dc, 0x674f3ea6, 0x1216d0ca,
+    0xb7819291, 0xbac4392e, 0xc17c0508, 0x94b53834, 0x94f8dcbc, 0x519f41e9, 0xb1cc2283, 0x01c2a2ec,
+    0x4b55ee15, 0xfafc5607, 0xaedc74f6, 0x98e463e3, 0x95bbf77b, 0x7697fd7d, 0x778746c4, 0xa6c67941,
+    0x2dc2b9ef, 0x4f43eed8, 0x8dcf8e06, 0xafc72c86, 0x53d1a586, 0x6647feb7, 0x5f3db885, 0xa6fa8983,
+    0x04ea836d, 0xdc03f0fb, 0xcaea891b, 0xd87d2200, 0x7fb84435, 0xcfdfab0c, 0x2c476e17, 0x10b6505e,
+    0x3eac3ff0, 0x4c36b025, 0x249209b4, 0xdfc85214, 0x514ae35c, 0x28a74305, 0x02f446b0, 0xbc3b47d2,
+    0xe2fe1e97, 0xa623e6cf, 0x80ea13c5, 0x30cd1b2d, 0x310b1fe9, 0xff13e7e3, 0x14fa0856, 0xb5cd7242,
+    0x3d3a2b16, 0xdf930b78, 0x1ad166fe, 0x37d294f6, 0x60f9ba8f, 0x84562bc8, 0x736c2f4e, 0x2971b06e,
+    0x9733ed42, 0x3650fb0a, 0xe504cfdc, 0xbfa5c4cc, 0xd9804ed7, 0x2d73dde3, 0xcd5e5130, 0xe61a0a9d,
+    0x81cee626, 0xc64811b5, 0xc176a05e, 0x844f4216, 0x23c39d60, 0x50d21478, 0x6c47f888, 0x8c3696aa,
+    0xffc9dcce, 0x712191aa, 0x9d94e251, 0xf428c2d5, 0x36db9fa0, 0x317d7a98, 0xc93f259f, 0x4066cee5,
+    0x96012adc, 0x5151efcf, 0xf6008c7f, 0x8f95a883, 0xf1d7c1d5, 0x085b1721, 0x90eb3e5f, 0xb2965def,
+    0xcb85075f, 0x3fb47092, 0xb417c7bb, 0xe8e15d4e, 0xcccfaace, 0xaafb5968, 0x7a4705da, 0x9ee57abe,
+    0x133ac78f, 0xa38a4712, 0xfab2a0bc, 0x862c57dc, 0xce85ef92, 0xa73c8a02, 0x761d6306, 0xd53153ae,
+    0xfe71a63c, 0x5d065676, 0x574eae93, 0x6095e67c, 0x7bf02ea7, 0x2476143a, 0x21ac9371, 0x4987f8f1,
+    0x279fca57, 0xabeb51b0, 0xab8f5e8c, 0xee9f3f6e, 0x25af1eba, 0x3e7cd797, 0x38f948d0, 0x34852f9b,
+    0xb3e617ac, 0x1d9fe7c9, 0x13e5b124, 0xd9a2e65d, 0xad07316d, 0x35b5e70c, 0x6dfd5ffe, 0xb1ca44a9,
+    0xc9156129, 0x4dd26c11, 0x2e4b880c, 0xfaab5133, 0xcd833f80, 0x5edf4eb5, 0x70092c05, 0x04c01214,
+    0x766e85ef, 0xeb1dc155, 0xffc64202, 0x43d99164, 0xd6712fb9, 0x408e9625, 0xecacda32, 0x4ff79551,
+    0x6a85214f, 0xa1794154, 0x058cd15a, 0xca4a9575, 0xbd62d223, 0x59559890, 0xe90f2ff7, 0x180a5186,
+    0x64b83274, 0xbb1b000a, 0xbe52336d, 0xf72a93f8, 0x562cd73f, 0x1ad5644e, 0x5ac70791, 0xc3229ce7,
+    0xd02b14d4, 0x7b7ee1a5, 0xbc802126, 0x2e966df3, 0x699ea115, 0xfa3cb6f5, 0x2d0902eb, 0x09f4ab16,
+    0x31450dc0, 0x4cc45718, 0x0ad0293e, 0xe0465d20, 0x50c4195a, 0x118d523b, 0xb95e8036, 0x228fd3f7,
+    0x459b3f9c, 0x656b48c1, 0x8a80dfaf, 0x05860611, 0x628ce32b, 0xb23c2ba3, 0x7a0e9cd2, 0x717473cc,
+    0xbebb8ea5, 0x4f91f796, 0xdbd95fb5, 0xad75ff9f, 0xf1634bf3, 0xec8a66e0, 0x56910826, 0x0abfc636,
+    0xe6ebf877, 0xe3ac4e17, 0xbb7cf074, 0x475cdcb7, 0x87b55f2f, 0x646b112c, 0x5a0b2deb, 0xaa347bc5,
+    0xbdf57826, 0x17cd5ed9, 0xb6c97d47, 0x350a3024, 0x987e4598, 0x291dae1c, 0x12834fac, 0x66b39b79,
+    0xb25044d2, 0xa235849b, 0x5eead5c1, 0xd564e0a4, 0xb76ac9ff, 0x278a0521, 0xe89408b3, 0xc4b05b6d,
+    0x5ebe392e, 0x961dae9d, 0xe8083b55, 0x5795a2f2, 0x79a4806b, 0xb6dbd8b8, 0x0b2a8e7c, 0x470fdf46,
+    0x83229a14, 0xa3ffc3c4, 0x14c5760f, 0x801dcfed, 0x5916d456, 0x0e627205, 0x5a08812f, 0x609b8ab7,
+    0x88c5bf2d, 0xc8646cac, 0x024586bd, 0x80b81928, 0xa45b813f, 0x88d63780, 0xd4db8702, 0xf839a28a,
+    0xd666b096, 0xb2ac4c17, 0x5eb467a8, 0xf2bdea4a, 0xe54d7d18, 0x59b16d75, 0x64cf2ceb, 0x385e0048,
+    0xb44b16c9, 0x5fa7843d, 0xd8e6ebf9, 0x54621b11, 0x20710763, 0x07f7ccd8, 0xcca2cf40, 0xc7272c16,
+    0x7eb1977e, 0x6f5376d5, 0xf624d649, 0x68bbefb6, 0xf5ddefdf, 0x6a7ad6aa, 0x07233c99, 0x3c6b544b,
+    0xc88fe9aa, 0xb6945525, 0xf710d0e5, 0x468e5279, 0x4a4361db, 0x6ad6127c, 0x74c82bc1, 0x19efe982,
+    0x368f1014, 0x5b2593f5, 0x6e6dcaf9, 0x7b48ad09, 0xb73421d9, 0xb1b104bf, 0x2bd25af9, 0xb9bb5736,
+    0x1b7d343f, 0x3b45e1c5, 0x5551bd39, 0x31ff2394, 0x9e2e6915, 0x3787f600, 0x354a6e6a, 0x56f5e35a,
+    0xae3662dd, 0xb386d8bd, 0x8fa11c1d, 0x71d799c0, 0x79bc3110, 0xc1ec0127, 0xf88faca1, 0xadf70653,
+    0x5375f2b8, 0x7dec0710, 0x2d1b562b, 0x45f46842, 0x2f22066c, 0xa318a551, 0x5392b1eb, 0x43d87742,
+    0x00000000 }, /* 10**00000000000000014885657073574029118450151585546332863562575066876273874564919\
+                         27921949262056238946972039271861787782268441644249633132407878864135402815488 */
+  { 0x00000000,
+    0x40000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b,
+    0x6ac8082e, 0x7859d066, 0x50fde9dd, 0x51f3a3e2, 0x4beab63a, 0xd0bd6143, 0x5ee48056, 0x5ca54cfe,
+    0x00000000,
+    0x87ebb43f, 0x4cf6530b, 0xa3c827f4, 0xf7b3c34b, 0xb13df99a, 0x074b9b67, 0x2faf0fbc, 0x59da2290,
+    0x35ff5b29, 0x31beb78b, 0x78a4515c, 0x4ea1e421, 0xb29f0094, 0x202b24f5, 0xeae0bf7c, 0x7c3e8a30,
+    0x0ae98a98, 0xd0d65465, 0x12e300cf, 0x0f00e6dd, 0x3742c276, 0x30a2d070, 0xf051a054, 0x26833ab5,
+    0xfd8c8eb1, 0x52b170c1, 0xdd71b809, 0xd7abb4a8, 0x38b6d04c, 0x0b0b58c9, 0x9e41528d, 0x422fc12a,
+    0x6033b658, 0x47aff6ed, 0xcae0c6fb, 0x7f48d1eb, 0xf72aff97, 0x6b8f58bb, 0xaf4b1d34, 0x278156ee,
+    0x6985eccb, 0x91a8b292, 0x1f4c139a, 0xd3814707, 0x86d75d83, 0x6c6ed11d, 0x98f2041f, 0xd7a5e981,
+    0x677d14d2, 0x1f756b74, 0x710c38d0, 0x2ea1bb29, 0x1e3944ed, 0x3df4730a, 0x08cf2d24, 0xee6f92e9,
+    0xcaa735be, 0xf3d70b9b, 0x22ce2faa, 0x71898b00, 0x9a805087, 0x17743380, 0x49414c48, 0x43abfba2,
+    0x87369d54, 0x38bf61be, 0x8fa4a0ea, 0xa59df3b4, 0x136565b7, 0xafd8323c, 0x4b4907bf, 0x94535e67,
+    0xc806dd6d, 0xdfb6717c, 0x23a2a6f1, 0xde88b54e, 0x70334be1, 0x369e3c0c, 0x10c72e54, 0xc8004ea5,
+    0x304d2799, 0xf9c4fa87, 0x519d1c8f, 0x4df4c9be, 0x66f759a3, 0xfc5aafdf, 0x36496a86, 0x3a543219,
+    0x16a7781a, 0x73e2145f, 0xd1ed4a30, 0x625c2044, 0x434a67c9, 0x0f12733d, 0xd6b36c09, 0xbf0849d2,
+    0x3bc801d4, 0xfffe259f, 0x0dcf0158, 0x3b0b02ff, 0x866d5941, 0x6b0d1559, 0x1fe57efb, 0x935bd5ed,
+    0xeae409a7, 0x3b42e2e1, 0x403c2c18, 0x13df5cd7, 0x7a86391f, 0x330390ba, 0xbc867b19, 0x457c2a90,
+    0xba384cc6, 0x4f72acb4, 0x8edee6e8, 0x0b03d7fe, 0xc2e29960, 0x6a85925b, 0x20b07e3f, 0x8e680c6a,
+    0xc135b8ca, 0xf0ad3013, 0x85a459e7, 0x3a05d5a2, 0x15c3346d, 0xeb2e9886, 0x07e66a11, 0x82e05e83,
+    0x295e14de, 0x4ec0542a, 0xfb50caa4, 0x91953d66, 0xe5c83f0e, 0x4feaddcf, 0xce3701e0, 0xd13f21eb,
+    0xc9d39e2a, 0xb67b2911, 0x3dd81d31, 0x0d0074b1, 0xe0e30c5b, 0x43db2a7d, 0xf862b234, 0x7936e409,
+    0x850b77e5, 0x3da4388a, 0x62f96c49, 0xbb797e28, 0xde4d5ebc, 0x715c95da, 0xe5836f75, 0xd5f3f733,
+    0x983954e9, 0xfd6753bc, 0xbfef5d64, 0xc6f4fa0b, 0x5adb4a27, 0x19d95725, 0x9cb26eac, 0x72ebfa2c,
+    0xab4d9754, 0x1300f78a, 0x150a7f96, 0x18d1a786, 0x31b7f79b, 0x94fc7f41, 0x64e6b7d7, 0x377ad7d9,
+    0xb03f8d89, 0x279317ad, 0xfa21c974, 0x7c901456, 0x149a8070, 0x20bec4de, 0x24c49663, 0xf809a790,
+    0x42c9c2b9, 0x9e974603, 0x08329946, 0xc7ff4400, 0x59ce7781, 0xa8f9d3a3, 0x25d9fbf2, 0x1f91a1a0,
+    0x94c7e522, 0x4a7e5f2f, 0x0fda40f9, 0xcee31a44, 0x96f33996, 0xe59709d0, 0x9bebf64f, 0xb82c7605,
+    0x33325d2e, 0xafee2cb7, 0x36d4e22d, 0xb306ceb8, 0xa8123586, 0x315d348a, 0x82da9f95, 0x13059898,
+    0x3ac93879, 0x3af31c2f, 0x162815ac, 0x93951537, 0x75c489f3, 0x9f24d6f8, 0x853e221b, 0xa1a07317,
+    0xdfc63412, 0x3919dc70, 0xc9e3445d, 0xffd1fe07, 0xaad4ba4a, 0xe76eba67, 0x237da31b, 0x77b34483,
+    0xeb7b34e9, 0x5af26a65, 0x0a7e69ef, 0xb06b7daa, 0xe2cbc82d, 0x7cb7869f, 0x3abc0596, 0x7a1fa2ca,
+    0xff25b7e4, 0x2d80ad70, 0x6383b102, 0x8c8b22c9, 0x86292b4e, 0xc5377580, 0x473cea20, 0x46240fb6,
+    0xda7d07da, 0x2eba2d78, 0xd4a0f1c6, 0x413c24f1, 0xf97b9775, 0x5349512c, 0x1626a8f8, 0xef18985a,
+    0xfa0597ac, 0x35d5d65c, 0xba64cdb9, 0x0a6a5240, 0x9bb41d6c, 0xf56e9bae, 0x07d7d294, 0xb713ff47,
+    0x47ad427c, 0xd00d6590, 0x9fb89616, 0xd56c494e, 0xc4e2bfac, 0x204b28b3, 0x0bb63af1, 0xdaaf60e0,
+    0x4bfbc46a, 0x9b452917, 0xf7b18495, 0x49ead95c, 0x967a5301, 0xb0d58df0, 0xf4be3faa, 0x578a8961,
+    0xc40b3017, 0x6357bd4e, 0xa7f59008, 0x18e5387a, 0xc9cb6b25, 0x79407a29, 0x5a65fcb7, 0xf387c20e,
+    0xa9d30b54, 0x18f55f04, 0x65132f6f, 0x6c4f773c, 0x6ffff90d, 0xf3af6d08, 0xcd25cce6, 0xb77bb7d3,
+    0x4ca7044b, 0x8747e0b0, 0x3e82e8ba, 0x0d6641e2, 0xd5bdb201, 0xba158e29, 0x441f63d3, 0x6a057e27,
+    0x2b8a0df1, 0x6fbbffc3, 0x738d03e6, 0xdd640632, 0x1d197666, 0x75981f8d, 0xadf8e225, 0xcccfb866,
+    0xfc990a45, 0xaf82731f, 0x46f8c040, 0x32c80d36, 0x090efe49, 0x7d55256d, 0x0b033942, 0x30133ee4,
+    0x5245eb60, 0xd16958e7, 0xadfc5b86, 0x8b6f48b6, 0x4864f1c8, 0x77ea2ddb, 0x850a8694, 0xd3e96171,
+    0xe5a117d7, 0x4de2e763, 0x652864ac, 0x92231894, 0x36c89c31, 0x9676a41f, 0x1f74a51f, 0x2bd201b1,
+    0x505f7964, 0x461698ff, 0x7d8d61f3, 0xcb5b4fc8, 0x51ea07a1, 0x234fc470, 0xb115f9da, 0x4848aa59,
+    0x4f1f0467, 0x4b5507df, 0x578c1de5, 0xb0d9c042, 0xcf0ad761, 0x9ca3d349, 0x90fb139c, 0x19bcf3e5,
+    0xfab5d89f, 0xbe20835b, 0xf634ae15, 0x5aca6777, 0x76369bd4, 0x071d568f, 0xd3c39b90, 0xc28db171,
+    0x035168a7, 0xf5e43fa8, 0x168cbfaa, 0x1484e2b0, 0x721a6722, 0x44fa2b35, 0x3762ed5f, 0xee155653,
+    0x7053b0fd, 0x5861608a, 0x475262f6, 0x6b213762, 0xab9b9ba1, 0x1a47ca79, 0xc827073c, 0x6e128cf0,
+    0xec2c216f, 0x70b60c71, 0x06e8d2ce, 0xf05817b4, 0x033a481f, 0xe1436463, 0x5f0a12e3, 0x08f8c56b,
+    0xe2bcfd5f, 0x53819b88, 0xe40696db, 0x3a312b04, 0x0139ad98, 0xe7393ee4, 0xc655a38c, 0x556bbc24,
+    0xe7ccd921, 0x5977891a, 0x4a3196e7, 0x42717a9e, 0x0d5cc82f, 0x659ad5a7, 0xe610d8ed, 0x8368cdf5,
+    0xf1788d7c, 0xef112471, 0x5af08da6, 0x5004cbbd, 0x651f9f55, 0xdf1ad2d0, 0x37ad7faf, 0x452599a1,
+    0x595dfd92, 0xa63fd706, 0x3f747936, 0x96bb98e0, 0xf95d121b, 0xd2c6cbda, 0xd4d46937, 0x2e2b8c58,
+    0x7c48b5b6, 0xcea56a1d, 0x1d40f756, 0x1e3c64d9, 0x212808a8, 0x28268385, 0x3f7d010d, 0xb12b12f5,
+    0xcd5d3e52, 0x7c915020, 0x52fb4c0e, 0xa82400d5, 0x35575a92, 0x6905b70a, 0x7d419d26, 0x9328bcf9,
+    0x84b4b7d2, 0x2bf9e4d0, 0xa7a98e80, 0xea2a5369, 0x1f82c19e, 0xf43e539c, 0xdfb0eed5, 0x19b17e42,
+    0x2cbaea29, 0x7d29df73, 0xdc86b325, 0x4dc369d1, 0xede31817, 0x7067dde1, 0x3bb28da3, 0xdbca4e49,
+    0x276b0daa, 0x7aec812d, 0xb73cf122, 0xe0f07de8, 0xd4fc6a2e, 0x1ecc464b, 0x33d5e5ea, 0xcba1a2c5,
+    0xa3c09658, 0x83da02b5, 0x50d0ef04, 0x1a3de25e, 0x422e1cff, 0xda793e93, 0x4bae4616, 0x144bc133,
+    0x6e518745, 0xff666d34, 0x44c4fe29, 0x9fed8f5d, 0x594f6a4d, 0x43a1f066, 0x6bb0c48a, 0x9cd885cb,
+    0x50dba160, 0x582ada44, 0x4b985f22, 0x665438bf, 0xcbb8711f, 0x9a62793b, 0xfadcb400, 0xcd9e5d80,
+    0x53f7b7b1, 0x9d59cc11, 0xf5a5e1cd, 0x3aad9961, 0xe845ce0b, 0x2d2cffe8, 0x98e758f7, 0x93d05e6f,
+    0xe02648b4, 0x72fa90c6, 0xa082fed6, 0x017a9ef7, 0x074858a8, 0xb5615618, 0x9fa6452b, 0xff373402,
+    0xa9180ee8, 0xdb187f76, 0x612398a2, 0xc7fd1936, 0x741e3e68, 0xe63dbdb0, 0x904c2cdb, 0xa1537558,
+    0x851e66d4, 0xf044d689, 0xc40b3078, 0x5edb05b2, 0xf3d5ee15, 0x27bc60ca, 0x50cefb75, 0x83233bc2,
+    0xe7608d94, 0xaa632d7d, 0x175f0778, 0x221b736c, 0xab811312, 0xbd4f964f, 0x139c40d9, 0x39bbc313,
+    0x67f68c62, 0xb402d10c, 0x59a731aa, 0x4a4cc23c, 0x8a6a06bb, 0xf117c792, 0xf44c61b7, 0x3ce19263,
+    0x34285a90, 0xf8b88529, 0xe63fc360, 0x1f316b28, 0xbd3584e2, 0x2c3122cf, 0xf0c88333, 0x1b3aebb8,
+    0x5d298e87, 0x789ee205, 0x20cf6b8f, 0xc5729797, 0x9a0aea6d, 0x8b2ec2da, 0xf5d15d8b, 0xb9513408,
+    0x974ea5ad, 0x069678fe, 0xb2af1cf6, 0xab7c85bf, 0x1a028c59, 0x29433914, 0x4287e9c8, 0x53caf332,
+    0x08c54c0a, 0x5cfd0bae, 0xecd1f86e, 0x3e5833c0, 0x0b1e4719, 0xa0c83acd, 0x20ce0919, 0xabca3273,
+    0xc6d7db6f, 0xb017d0cc, 0x1ddbfd5d, 0x110304d8, 0x808da4de, 0x0b155410, 0xeb399292, 0x83939e99,
+    0x13b32e83, 0x52caf00d, 0x7e3be348, 0xf3ceacdf, 0x37a6565c, 0x149aaec3, 0x829593fe, 0x7e659971,
+    0x9f3cd972, 0x2971771e, 0xfb5a5079, 0xf002b4b7, 0x8cb2812c, 0xbd36cf44, 0xa443da26, 0xe983445b,
+    0xea3a797a, 0xd7cdb745, 0x725d5019, 0xfd522a0b, 0x1c05e16e, 0x6a49b754, 0x45e97598, 0x431e8f8d,
+    0x001c3a06, 0xa401e670, 0x651cdacc, 0x82392ac8, 0xaeb5267d, 0xb4bbaccf, 0x80f4e329, 0xd4dc1f97,
+    0x60adfb86, 0x3847298b, 0x8ca6316e, 0xd0340c59, 0xbd7ee2bf, 0xbd9c7866, 0x2685a4c3, 0x9b79c53d,
+    0x67c0ab57, 0xb6982ec7, 0xa1db48d0, 0xe047a511, 0x0419f59a, 0xfb9eb5f7, 0xffc9356b, 0x8dce8403,
+    0x374ea277, 0x9b41ec05, 0x23fb1c9c, 0x403e548f, 0x99cbc657, 0x25495f89, 0x20d38e93, 0x7204fd67,
+    0xe59b1c79, 0xa37c1100, 0x828570ca, 0x4cbd3999, 0x2f432562, 0x1e85481c, 0x03699a4e, 0x9c023a20,
+    0x4d7bcaf2, 0x33a66778, 0x8218b301, 0x412712e8, 0x795a5387, 0x6ee46e3d, 0x60659e2d, 0xcb222a75,
+    0x39165ef7, 0x5a7daadc, 0xa757a449, 0x011983c9, 0x36206b17, 0x84417886, 0x7c53bc46, 0x634436a6,
+    0x022df6a1, 0x14b9ae2b, 0xd650b498, 0x80b9888b, 0x9b3d99e3, 0x062881ac, 0xdfb3e8df, 0x4ee3901a,
+    0xaedf99a2, 0xf266eff9, 0x9e69b156, 0x371a14a0, 0x914b1095, 0x3484a21b, 0x8bc1f037, 0x6c36ad5e,
+    0x8188393f, 0x600b4512, 0xbb7ae6b4, 0x2b229934, 0x50a34471, 0xc79b7e8a, 0x4713772c, 0x766f9558,
+    0x5ce14516, 0x99eeacc4, 0x0cdad331, 0xd05f5962, 0x361a64df, 0xdca141e3, 0x84ac3edc, 0x4867bab4,
+    0x9547453d, 0xe565ecdf, 0x7b89e211, 0xd8edee59, 0x1f935444, 0x6e93bdc3, 0xd1f9e8c3, 0xb5391978,
+    0xf3b0e307, 0x41aa327d, 0xafe88c67, 0xec106edb, 0xd0e0a1d5, 0x97445982, 0x1f28a176, 0x88cd9710,
+    0x13e2c6a5, 0xc1e790fb, 0xf2deb507, 0xd3bfa5d4, 0x24c7d692, 0x3d929634, 0x66e1859a, 0x6beceee7,
+    0xc72c5088, 0x778a762f, 0x7059e341, 0x4ee3eae5, 0x01e7c9e4, 0x22445ad3, 0xf8a11240, 0x60992f7e,
+    0xb01d8348, 0x4bbe6652, 0x182d37c0, 0xb3223570, 0x61f2e8ab, 0x2381e5ee, 0x5db65698, 0xc5f99ccd,
+    0xc5798adc, 0xb5f089fd, 0x2e547571, 0xd2a27dc2, 0xecec45c9, 0x341281dd, 0xb440ded1, 0x77d50674,
+    0x3d4287bb, 0xb76608d2, 0x83cf35e0, 0xb6f08d6a, 0x10ef9c72, 0x534361e8, 0x527e3178, 0xe826d2b9,
+    0xdf583124, 0x5236676f, 0x1493266f, 0xc835d7e4, 0x0b261bad, 0xfca13659, 0x870b92e5, 0x7eeb2ee4,
+    0x6f87f6c9, 0x41d4d55a, 0x945de43d, 0xd2c4d1d6, 0x223774b8, 0x98d455da, 0x7212b7f3, 0x6af57f10,
+    0x784377bc, 0xb93aa8d6, 0x8d44beb3, 0x9e24ca75, 0xbc7bb401, 0xc148f352, 0x2733d40f, 0x433e1244,
+    0xeebae29c, 0xbe09bd25, 0x88947834, 0x620a28a7, 0xd8807ff6, 0x5e2aff1d, 0xc65fc761, 0x7c3d4d18,
+    0x06a8063e, 0x071b4528, 0xdaf9c7e3, 0x8d791e22, 0xe4dd421d, 0x25fe097e, 0x47956e29, 0x96d72181,
+    0xdcd326f2, 0xe1b2a7c5, 0x412013cb, 0x42c5291f, 0x9e5d8356, 0x1d08fd47, 0x4eb0f2e6, 0xc3163fc5,
+    0xdc6ea967, 0xfe72edd4, 0x5a4bd355, 0xb57c0022, 0xa0056e3d, 0x4dbc4532, 0x1d0b37d6, 0x5ca212c8,
+    0x04f58ea2, 0x30220fe8, 0xcbc5f7ad, 0x2553b309, 0x78c028a0, 0x93e2f654, 0xe926e5d9, 0x316e7ec1,
+    0x91c4c1da, 0xe4df1154, 0xb89d5134, 0xde8f992b, 0xc1fee025, 0x329276aa, 0x4e9b021e, 0x54a2fe87,
+    0xeca20d14, 0x6441243e, 0x1bce074f, 0xcaae9bd1, 0xadb88fd4, 0xbf984467, 0x76345bdc, 0xdd778845,
+    0x5a669831, 0x0f9c6d50, 0xc1fccd37, 0xd684d009, 0x165f269f, 0x2ba2a9e0, 0x18032847, 0xc973e8fa,
+    0x84ebc21c, 0x5fc2c1b9, 0xb89a70e5, 0x535ce1f0, 0x8f279e63, 0x4bec5af0, 0x30b515fd, 0x720fcf91,
+    0x940a7042, 0x672ba623, 0x74f97e71, 0xb0960833, 0xf0e3401e, 0x6a8928d7, 0xe2e9d4e1, 0xf9918c8b,
+    0x6375df97, 0x376cb3d4, 0xff8df649, 0xce636d3e, 0x9bad298d, 0xfdf642c5, 0x2386cadb, 0xc00aff0f,
+    0x62ebdf14, 0x35df4b25, 0xe55d9f4a, 0x0720f244, 0x30239b66, 0x16557d05, 0x1fb56f46, 0xe1c71162,
+    0xcb075672, 0x301f57a0, 0xb631cf00, 0x6399c643, 0xc7191cd3, 0x5e6cccf0, 0xefbbc809, 0x8070dc20,
+    0xb023a8bc, 0x5ee93910, 0xe242c445, 0x0dc3020e, 0x892ed5dd, 0xcaf0a20d, 0x74895eca, 0x757eb9c3,
+    0x8d810eb6, 0x0b415657, 0x8962f921, 0xa141f899, 0xd90d58e3, 0xd45dd32c, 0x3840d81e, 0x0a68988e,
+    0x983f7783, 0x2390a268, 0x64c87e17, 0xa71af7e2, 0xb7420fbf, 0x28362755, 0xa97c674f, 0x0121f05e,
+    0x9ef716b4, 0x9c7a44fd, 0x723bcc08, 0x34918e62, 0x760dc78c, 0x9ff3bcd8, 0x9a8237f6, 0xcbcf74c1,
+    0xe3d52611, 0x624a7854, 0xfc1e5ef5, 0x7213dcf0, 0xeebc143d, 0x0de12ba6, 0x2ddb0c0c, 0x6c8db718,
+    0x23e3d6d6, 0xb161b2ae, 0x8e3fa10e, 0x87c09626, 0xc196f454, 0x7c29f333, 0x552ce506, 0xfcdd34d7,
+    0xd527b209, 0x79e784e9, 0x12676759, 0xd0805fec, 0x6c4f7f11, 0x2ca85e6e, 0x81822dd3, 0x82ba9292,
+    0x9ca0f603, 0x4724088b, 0x7aae3014, 0x18bbe5ba, 0xfe8b5f7a, 0xfe157739, 0xbcfe0f56, 0xae76ab02,
+    0x2dda4f5f, 0xf191a3fd, 0xccac9d94, 0xde075689, 0xd45a7a23, 0xaa123fa5, 0x92922d7a, 0x00a610f4,
+    0x9a41d224, 0x0360ae3d, 0x7dfb7236, 0x157b7fd8, 0xa0e75eec, 0x2c4db6b4, 0x679d3b32, 0xbf7c3cbd,
+    0xb84065cc, 0x721d75f5, 0x51fbe38a, 0x0975fbcb, 0x771abe8a, 0xc5d1c578, 0x8b731ac6, 0x4433ec64,
+    0x725a3bc8, 0xa3412016, 0xce9ce185, 0xad42ef76, 0x71ab2331, 0xc027daa5, 0xd8d45485, 0x6a45490e,
+    0xa9f2f039, 0xe921997d, 0x7e528d0b, 0xd3bc8ca0, 0x54bbedf3, 0x4d218c3a, 0xdd796be6, 0xb799ff05,
+    0xb1861852, 0xa485edf8, 0x0231f470, 0x5f86355f, 0x1a0fa313, 0x0578bece, 0xb3c6f9c1, 0xff6e78b0,
+    0x6de8b5b7, 0x8821a1d0, 0x7db21311, 0x6fddcca5, 0x618d9978, 0xbf8fee88, 0x5465664c, 0x48bf0956,
+    0x0adf01bd, 0xa429b6f2, 0x1180599b, 0x138c5ca3, 0x3e46cda8, 0xda713e13, 0xa4c5715b, 0x5f8d5f75,
+    0xfd3dd206, 0x7400a734, 0x05df0826, 0x211300d8, 0x26ff8e89, 0x167eb7d0, 0xbb025ae4, 0xd2e6ea30,
+    0x952c04ed, 0xf43de0e2, 0xb541e1b4, 0x45b28bcd, 0x30de8141, 0x6c2fe397, 0x26ea40e3, 0xc4075872,
+    0x777a63c1, 0xdc88e3de, 0x8a4cd164, 0x4e3cbfa0, 0xc8b03401, 0x8a2eb114, 0xefe33d2e, 0x6bc688f0,
+    0x341888b0, 0xf58131bf, 0x79f97bdb, 0x925197b6, 0x990b99fa, 0xd938e9dd, 0xb5dddb9c, 0x962563bd,
+    0x00000000 }, /* 10**00000000000000007442828536787014559225075792773166431781287533438136937282459\
+                         63960974631028119473486019635930893891134220822124816566203939432067701407744 */
+  { 0x00000000,
+    0x40000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d,
+    0xb5640417, 0x3c2ce833, 0x287ef4ee, 0xa8f9d1f1, 0x25f55b1d, 0x685eb0a1, 0xaf72402b, 0x2e52a67e,
+    0x00000000,
+    0xba893ba6, 0xd02f9c82, 0x6d6a5bc5, 0x87588165, 0x57923fba, 0x7bbf8b56, 0x804ce629, 0xe67f0d29,
+    0x71aeb252, 0x527a2e7a, 0xb9454a74, 0xfaff22cb, 0x00e25049, 0x7207be7a, 0xa0651c19, 0x37553ad6,
+    0xe94a3c95, 0xe4a56b37, 0x39be36c9, 0xdf0d527a, 0xe62aa7f5, 0xca554ad4, 0xac4528b5, 0xe4580246,
+    0xb07ec925, 0x2598799a, 0x0f9a51e7, 0xcbf15819, 0x22241b49, 0x3f425dbb, 0xf1aecfbf, 0xb7b2bc56,
+    0x72e695b8, 0xa6b00148, 0x5ea4c80c, 0xaa36737f, 0xbf6af573, 0xec5fa515, 0xe90d3cdd, 0xba74b11c,
+    0x7cb08aac, 0x5519d535, 0x3ee4f652, 0x6c659cd6, 0x2a975732, 0x8bcef4bc, 0x9e2b5d08, 0xe7e6d50f,
+    0x280c94d4, 0x3dea2bde, 0x90a6155f, 0x96496727, 0x54420156, 0x968fff51, 0xf78dfc87, 0xd052b84b,
+    0xd52b1b2b, 0x0ea445c9, 0x9ab155fa, 0x886359bd, 0x3e7780f9, 0x91301f10, 0xd159c895, 0xca2d5c21,
+    0xacd71ddc, 0x27c0b136, 0x139fcf84, 0x90a2edfc, 0x274f96e0, 0x10486a12, 0xb76f004d, 0x8fde6c21,
+    0xcb2b439f, 0x7f8fd7ec, 0x5eaa8f9a, 0x9476a9ee, 0xd76bca4b, 0x96735fdf, 0x3d5bebb1, 0xf9c200be,
+    0x3e9be8b5, 0x2e79d600, 0xec65adfe, 0x43952e63, 0xe4a199cf, 0x913e33d4, 0x512fc885, 0x8b79b12c,
+    0x1fe3c63e, 0x4d6ffa56, 0x49299b99, 0x04fa2ae0, 0x648f7928, 0x429111e2, 0x5dcf386e, 0xd10ed7f8,
+    0x4a1f1578, 0xcf699cd8, 0xd112cef8, 0x09dc0e08, 0xa064bf1e, 0x4dd1970c, 0x7c1dcf8a, 0x983c4884,
+    0xe5ded24a, 0x0cdde485, 0x6f29e7e2, 0x8a00e583, 0xbdf50a15, 0x6c9a5b75, 0x05d0cae7, 0xfe12d6f1,
+    0xe4991ab9, 0xe5929e29, 0xe131e681, 0x1a6217de, 0xdce54751, 0xee42191b, 0xb3d0a53e, 0x06f45a43,
+    0x5a8c677d, 0x63718621, 0x0d7f8708, 0xe4291b63, 0x359d34be, 0x0951c8be, 0x8e540a78, 0xdc756f1b,
+    0x42c0308d, 0x4e0a4c1a, 0x12e8994b, 0x75185414, 0x93d6e54f, 0x3a042d4f, 0xffad15e1, 0x3ef23159,
+    0xaac7ab43, 0xa9a62c85, 0x78a4a15e, 0xc87862ea, 0x6df31fc7, 0x21ae5322, 0xf606eae6, 0x16dcf963,
+    0xf9cb955a, 0x998847a6, 0x30d7a218, 0x19e03bfa, 0x4fffb3ba, 0x7951e017, 0x71d0c5fb, 0x1ca661eb,
+    0x0d74d62e, 0x6ed48b83, 0xdbc83a65, 0x363f7707, 0xff2ec214, 0x0a9cd88f, 0x82e47ca7, 0xa0356f37,
+    0xe420c0f1, 0x0118fb8a, 0xc10c06aa, 0x287cf72f, 0x9a2760b5, 0xe34b6f7f, 0x657d183b, 0x3299d335,
+    0x6bade65c, 0xe3c5848e, 0x73f04fed, 0x7cae16f2, 0x21912e40, 0x3059fc72, 0xe886b810, 0xbbaaf631,
+    0x27423484, 0xf80f3d57, 0x690a4691, 0x0f7742e8, 0x3f0a1cf8, 0x8767aef5, 0x538ebd14, 0x4f21fbb5,
+    0xa5c03c14, 0x92b851e0, 0x01ceeed9, 0x48ba3712, 0x391fb788, 0xc01f9349, 0xfdc06d82, 0x531def9d,
+    0x63951b57, 0x28dc2e3b, 0xeae9a8e2, 0x2a26984e, 0x7bc440ff, 0x992d47c0, 0x1ae0e566, 0xc35ef387,
+    0xa34e833f, 0x9b767ce9, 0x8c851db8, 0x1e83fda3, 0xabd70c76, 0x2352c2d2, 0xe2316ea4, 0x242d30bf,
+    0x44131499, 0x7f299b9d, 0xff3ee95b, 0xc207c011, 0xcbd64ebe, 0xe4d8c561, 0xf19f0ec9, 0x2260c31e,
+    0x1ef7ced8, 0x196f5e1a, 0xa196c232, 0xd6485bde, 0x3881f4e7, 0xd9d44814, 0x7cea8592, 0x841d199b,
+    0xccf4b96c, 0x5c9725cc, 0x35c7372c, 0x6eb60e13, 0x04042ef0, 0xa3641fcd, 0x7cd961ae, 0xe9036ad7,
+    0x95ef0a79, 0x1271717d, 0xc6cb2fd1, 0x7dacfb8a, 0x33a94969, 0xa479e836, 0x70d88f07, 0x01d8d44b,
+    0x181219e4, 0x7907c065, 0x7be752e0, 0x5b6ea8b1, 0x585ed572, 0xcff304c8, 0x0bcfe039, 0x2c57b1b5,
+    0xd81804ad, 0xf155d6e3, 0x995641d8, 0xc3cf9d69, 0x8d3efd68, 0x99938ac7, 0x0e7fff23, 0x000b3370,
+    0xd5028955, 0xaf50004d, 0x9ab7c740, 0xd6a378c6, 0x15c8f8cb, 0x418e7e46, 0xb2fe6722, 0x542a536a,
+    0xda014191, 0xccb78e23, 0x70cb6e1e, 0x54ae7b4b, 0xc8153762, 0x929a4134, 0x93fe00b3, 0x24349ffb,
+    0xe05dfdc3, 0x2846d3cc, 0x9a44f3f1, 0x1fc14799, 0x9625e282, 0x2bc6ef61, 0xb2c212b5, 0x10e6f036,
+    0x126757aa, 0x14f132b7, 0x2f4103f3, 0x64c88dad, 0xe7d2492b, 0xe19af248, 0x95ffded9, 0xe745b557,
+    0xf84e1eba, 0x5f39870e, 0x7e8b75fe, 0x5609cac6, 0x2fb8b496, 0x60b5c4d3, 0x2bde6f4f, 0x8af90b40,
+    0x71c674f5, 0xd7b2945c, 0xc01c5580, 0xf2bee04b, 0xa28615f4, 0xb8f12793, 0x8d4f5c9b, 0x933d0718,
+    0x9bbafc54, 0x2ca64f82, 0x0e70d033, 0x74e5a477, 0x146dc0b8, 0x8780fa61, 0x6362fd35, 0xb875aa6c,
+    0x218fb41d, 0x902dfc1e, 0x89e862e4, 0x9a81f45c, 0x5897cbfc, 0x284e5d9b, 0xf23bd57e, 0x1d9f29dc,
+    0x2e2e5b47, 0x19840d94, 0x154a0b51, 0x228fc8cb, 0xf6fd4e4c, 0x9a219d8d, 0xc8e997e7, 0x66f1cec4,
+    0x1ec9a0d5, 0xf53dcd19, 0xae12bbf1, 0xebc6dd4e, 0x695c3943, 0x2530d274, 0xe304a89f, 0x44d54250,
+    0xad1f38bd, 0x3fecb589, 0x34175739, 0xa5806a2f, 0xd7f7aba4, 0xae37d328, 0x61c7c848, 0x9e3282ab,
+    0xd3f956e1, 0xca480b19, 0x5e67f5f0, 0xe453dcca, 0x759bfb97, 0xa4de6d1e, 0xb59dd24f, 0x2f683f92,
+    0x64a9d20d, 0x243d2750, 0x826a819b, 0xf07c334f, 0x589328bf, 0xe7f9852d, 0xe343b17f, 0x6c82b4b5,
+    0x970d3833, 0x62f32bcf, 0xac8bbdfb, 0x635828dc, 0x7bb96103, 0xedb4738c, 0x41226ef6, 0x00261071,
+    0x0be390ab, 0x6ffa24c6, 0xd332bd54, 0xa5759492, 0xb37ab37b, 0xd8915a6e, 0xe63e699c, 0xdf324717,
+    0x979b5c4b, 0xa5cf6df2, 0x3a3cf10a, 0x0065549e, 0x8776443e, 0xa62f7872, 0x7d1af0d4, 0xc6e97122,
+    0xa08b71a3, 0x27fe5095, 0xae8637ca, 0xdb0b0495, 0x396c3e5c, 0x7051e627, 0x7f93e555, 0x50c47d10,
+    0x059d3e05, 0xe39dfc40, 0x7dcc5a6f, 0x8c8781ee, 0x0b160817, 0xfebcc117, 0x8d0244fd, 0xaa7cdb5f,
+    0x38451c26, 0xdb4106df, 0x99f4a786, 0x71c2372c, 0xd1136096, 0xf3abf6c9, 0xa842d5a6, 0x84494733,
+    0x8fdb55eb, 0x6ee4a253, 0xaf2ce48d, 0x18961281, 0xf65a1b76, 0xc6c8e7b8, 0xc9fb9306, 0x5637ed48,
+    0x942cd593, 0x7e67cb06, 0x141e6cb9, 0x8777301f, 0xc473033a, 0x61138fd6, 0x6f8f279c, 0x5425568d,
+    0xa2f2d22b, 0x43ae572e, 0x71472dd0, 0x1ecc8ac3, 0x6c408b8b, 0xd873aff4, 0x5409ff07, 0xb5060642,
+    0x7d48447d, 0xee558a99, 0xfb126e01, 0x241c4786, 0xe9a3f49e, 0x9b6afc6a, 0xa986573f, 0x5a2873e6,
+    0x36eaa152, 0x3eff3513, 0x93f3a9e8, 0x55c62857, 0xb8314304, 0x041e2977, 0x242deda1, 0x3012ab6a,
+    0xa8bb40b4, 0x060a3e8e, 0x882a985e, 0x7ac94a8d, 0x20a12f93, 0xc5db896c, 0xc6dd435d, 0x4fb105d0,
+    0x3494af79, 0xff5e929c, 0xcff8cef0, 0x09a19962, 0xfdaa1bcf, 0xe882ca94, 0x20d0dac8, 0x2c66029b,
+    0xa360f3a9, 0x2d6bcddc, 0xb53cce4a, 0x076ffe65, 0xd3713f56, 0x98d7ae49, 0x3c32b94e, 0x73c0398d,
+    0x590efc4a, 0x70e3b213, 0x921dadea, 0x00744443, 0x33778814, 0x8a8f6e87, 0x7ba57222, 0x2889f72e,
+    0x55e25478, 0xfe3a64c9, 0x18a367d1, 0x2824b7bb, 0x10185928, 0xbff3f195, 0x52e81fca, 0x3f5967e1,
+    0x46c39090, 0x615a6e91, 0x9351dd10, 0xce766dcf, 0xc3bc6184, 0x791a942b, 0x10dec491, 0x9693081e,
+    0xf559b1dc, 0xbb50c2f7, 0xfaad55b3, 0x4a1149ab, 0x4a93dd70, 0xad49c401, 0xe4ad38cc, 0xc4205bf0,
+    0x38679fcc, 0xa00f6bc0, 0xd186cedc, 0x4bdb1c8a, 0xd8a5c955, 0x798018a8, 0x2f58a5fe, 0x4c005e25,
+    0xb21a6c0e, 0x2961c75d, 0x645fab46, 0xd84928f1, 0xe489e9e0, 0x7877ad3a, 0x4aec67c4, 0x86f23368,
+    0x47a8443b, 0x3f6b26e3, 0x9228eed6, 0x762e82dd, 0xa9258462, 0x35b94cd0, 0x4ca14d84, 0x33ed27b1,
+    0x1c5bcba9, 0x8a5eccee, 0x12592c06, 0xc18db256, 0x130528f4, 0xd6e48538, 0xb16ebcff, 0x45bc542c,
+    0x9efc4a59, 0xedd3da6a, 0x3bfee7fa, 0xc92c70a2, 0xe12e27b1, 0x3a3b5730, 0x1b4f9291, 0xfdb0e61a,
+    0x3347f458, 0x497ed3a8, 0x3f16df6e, 0xa412c4c2, 0x4002f2af, 0x47d95ede, 0x64d29071, 0x5e75a52d,
+    0x5943b374, 0x6ad0141f, 0xcec3f9bd, 0xe0fd32c5, 0x3aaa7af3, 0xb09f6172, 0x123b800d, 0x5c741054,
+    0x1af81556, 0x4e81a88b, 0x732212e0, 0x075a528b, 0x5cb1775f, 0x87a0830e, 0x302b9437, 0x48a2d06e,
+    0x7d65e02e, 0x5fe49963, 0xf00f90e4, 0xc85608f5, 0x163bcc06, 0xbe9a5759, 0xf83bf42a, 0x6f56b8d2,
+    0x014041a7, 0xd061105c, 0xb9015ff1, 0xa3eee103, 0x7c815b88, 0xa23228c0, 0x21b23e6d, 0x47ccd41d,
+    0x19e50d4a, 0x6fcb7319, 0xdd75c224, 0xe1dfe2fe, 0x522bab16, 0xe443206e, 0xae94b494, 0x179fa3cf,
+    0x04a61a58, 0x6198635f, 0x4e0f0009, 0x9f31dcce, 0xbfeaf18d, 0x11b6a009, 0x3f02df3d, 0x34826573,
+    0xa92000a0, 0x9347e294, 0x46fd3a98, 0x2081496b, 0xf6f65f2a, 0x15a52736, 0xbc3bccd9, 0x3c0e3e61,
+    0x9fcc0c14, 0x04e1d5cb, 0x54780432, 0x0bbdbd9c, 0xb32a18a2, 0x71ff9e50, 0xb4c8647e, 0x32be30c0,
+    0x91652314, 0xa1e16071, 0x10fa6acf, 0x10130327, 0x2533aac9, 0x0504413f, 0xe9d11454, 0x2c963cf9,
+    0x23ea8827, 0xb70fb68a, 0x0d95c496, 0xee169a19, 0xd52e479a, 0x628319f8, 0xb15a52f2, 0x1c237982,
+    0x7fae8d36, 0xcc655b60, 0x6f645bef, 0xd66e2007, 0x41035fb9, 0xa3839eb2, 0x21832ade, 0x31aea3cc,
+    0x39f2e11f, 0xaa1435e2, 0xb755c8d0, 0x7ad15043, 0x7453267a, 0xeff91a7e, 0x4ca76ca9, 0x1736b2f8,
+    0x887e2d43, 0x3b3f0e45, 0x38f1844c, 0xa476ba6e, 0x13a01ddc, 0x93f05331, 0x9548d3ba, 0xcfbef17a,
+    0x985cffca, 0x9f3c6abc, 0x2092bdea, 0x4f1e3532, 0xf3ab787b, 0x6bbdb50d, 0x9f843950, 0x1120d510,
+    0xa85d8183, 0x4779d8ef, 0x4a557a56, 0x889b011a, 0x6f58021c, 0xcd5a9a2c, 0xc2f558fa, 0x3a155c4a,
+    0x14d462de, 0xdc26667e, 0xb642db01, 0xee36951e, 0xf95cb071, 0xaf5e0f19, 0x8b782627, 0x7281f49c,
+    0x50483422, 0x2c29c48f, 0x47760be7, 0xa6d4f2b2, 0xb3380fe4, 0x46442579, 0x941ca9f9, 0x6d1d3e38,
+    0xa56098e5, 0xdc4cda7e, 0xbfb2f5e4, 0x57444024, 0x88b60eaa, 0x41c61eb1, 0x63220f3b, 0x3ac65d89,
+    0xa6eac6d0, 0x905710a6, 0x5899c2b1, 0x7856f67e, 0xc5d6d571, 0xdd573518, 0xa4c2e20c, 0x4a93576d,
+    0x2af18216, 0xd5a4247c, 0x5a005c2c, 0x4d6f93b6, 0x6b0ec645, 0x4a468649, 0xbccf72ab, 0xbf2bb831,
+    0x9aaf3c73, 0x4305940b, 0xf5f0b998, 0xff4a6478, 0xa0577d72, 0x0ae2f196, 0x1945b882, 0xedb3391a,
+    0x2a1275a0, 0xff62b45e, 0xc8f74827, 0x23203d52, 0x9124c310, 0x4d737e42, 0xb5f7aaa2, 0x4dfabd3c,
+    0x2e7c820a, 0xb4510db8, 0xa1f81c0a, 0x433fa245, 0xb8dd430d, 0x1f78fbe3, 0x83fc3b8f, 0x2fe48463,
+    0x4775b5ce, 0x4e2beb62, 0x3b2dc128, 0xde22e4cf, 0xc71414e1, 0x3e2a26ba, 0x32cb1766, 0xedab5c1b,
+    0x3e1b6ee3, 0x4279f643, 0x9eea3691, 0xd13e38fa, 0xee61d432, 0x8644deaa, 0x463ecbbf, 0x0bfcb948,
+    0x900e91d5, 0x0bca92d9, 0x5e73c5dd, 0x23f58235, 0x638c72d2, 0x894fb81d, 0x27021615, 0x5103a61a,
+    0x7541e411, 0x35f6c7bd, 0xc5f82e8c, 0x3faec9ff, 0xc104c51e, 0x227d6f30, 0x18e3ebd6, 0xd901ff06,
+    0x36d28fe9, 0x4025978e, 0x6842fd5d, 0xd9526f9a, 0x289392a3, 0x43a17bee, 0x94a4b26a, 0xa1f90866,
+    0x95f35855, 0xa79011f0, 0xc28c6892, 0xaa47ded5, 0xb2e125b2, 0xde113916, 0xdbb7f282, 0x4d2077a6,
+    0x9cafc085, 0x87cec876, 0x4866fbd9, 0x0d597755, 0xed80aa0e, 0xa16b40f9, 0xdc738e04, 0x2385d7df,
+    0x5296ef12, 0xa452e411, 0x58eda162, 0x4239693b, 0x31960260, 0xfaff3d98, 0xcf9ef5b1, 0x0289ec2d,
+    0x55b46a87, 0xb54e45f5, 0xdf8ac637, 0x3491c39f, 0x1ca50c82, 0xb4e46404, 0x453eb891, 0xef7706d8,
+    0x611f600a, 0xf0df8291, 0x9fba942c, 0x8fa1d3d4, 0xd99552c5, 0x2859b613, 0x1f069789, 0xdfc90fbc,
+    0xb8493a22, 0x7639ce29, 0x78b0b750, 0x477bf804, 0x0279aef3, 0xecad428b, 0x56611dc6, 0x7ea94659,
+    0x90c60ea0, 0xa282cffa, 0xfb5b1bae, 0x6b93632a, 0x046af8da, 0x10161b40, 0x23a18a08, 0xce5bc6d5,
+    0xd6e79343, 0xbe51acc2, 0x093abf20, 0x8e52c0d3, 0x9e56b34d, 0xb0be52f7, 0x1d157a28, 0x51871e67,
+    0xe0445d72, 0x9560047b, 0xcd631512, 0xb2f8e165, 0x6d428565, 0x9ab8521a, 0x8fb86478, 0xcf96ca0a,
+    0x90733dc3, 0xb43afe1b, 0xaa3d7ca3, 0x6696c0b6, 0x4bb1db7c, 0xa1f6ca4b, 0x1f9aed9d, 0xc818f14d,
+    0xff2830a5, 0xd7fd80c5, 0x07cc67bd, 0x29fbc09b, 0x9b31d453, 0x4cedec9b, 0x5495282d, 0x9506f3f9,
+    0xca3e7595, 0x953de49c, 0x9b627438, 0xfb284170, 0xefaaf140, 0x93d13443, 0xec1b7c8c, 0x340e09bc,
+    0xf51573fe, 0x2bd173c0, 0xfecaf0aa, 0xdf0756a1, 0x75af36e5, 0xc65768ef, 0xf27a7182, 0xc9625ec7,
+    0xa7794160, 0x4c07ed93, 0x1838cd0e, 0xffb0168b, 0x74ad1f92, 0x7f160ce0, 0x6daa2861, 0x203182ad,
+    0x38569bf0, 0x1b2c6c4f, 0x4f1f3a60, 0x174ac6e1, 0x5bc91be0, 0xdbfb25ec, 0x269aa2c9, 0x6e25c339,
+    0x7cf4adaa, 0xa81f0fdd, 0xfbedcc74, 0xd203ffac, 0x0b710105, 0xe8f59777, 0xd49337d5, 0xb969fc9c,
+    0x26a50eb9, 0x14af7c7c, 0x9d784de0, 0x96249cf6, 0x8b4fb59b, 0xeeb92590, 0x85c2a0c6, 0x91c2caee,
+    0x1a288cac, 0xd3f03cd0, 0x07ee2365, 0x1600c8e7, 0x3bbd2f07, 0x45283bc6, 0xdb31a8ee, 0xe5f7cd07,
+    0x59464f5e, 0x0ec50a57, 0xe058f943, 0xc9f04b76, 0xcc990d13, 0xa9253849, 0xc2786b4d, 0x02e45755,
+    0x38c84122, 0x866cb0d1, 0x3969b09c, 0x292a8260, 0xe9c3bf09, 0x6c8aede8, 0xf86728c8, 0x0565f736,
+    0x2e99c263, 0xff961183, 0x2facd558, 0x168501f1, 0x1ea15ef0, 0x32b2cb3f, 0xd2303f10, 0xcdd48021,
+    0x063e8de8, 0x08ebd5f0, 0xb6fe1674, 0x093e4c8b, 0x3e891136, 0x9fc87abd, 0xcd13f369, 0xe1308afa,
+    0xe1c616db, 0x7fbefae3, 0xe68603c7, 0x89b0af0f, 0xbc51efc1, 0xff66711e, 0xeb3ef775, 0xd978509e,
+    0xe43162d6, 0xf2772585, 0x006ccf5b, 0x12e46da4, 0xcbb694fb, 0xe7e5a47a, 0x57c4b4b2, 0x613c7fcc,
+    0x80a80c45, 0xc5e4d0b8, 0xe89080ee, 0x18597b3a, 0xed1c4ad6, 0xc9eee393, 0xd88fc193, 0x2e680f8e,
+    0xc43e623c, 0xe3ea1a65, 0x97237a35, 0x44b40282, 0x0ea5f7df, 0x5185eed8, 0x6194f370, 0xf677f0bc,
+    0x42e4500d, 0xfa0906d7, 0x53af3c31, 0xce28f43f, 0x40679244, 0x43eebc8d, 0x6fd10966, 0x7e661264,
+    0xf98efc7d, 0x24e3e06d, 0x2abe43f2, 0x069775bb, 0x6ee2b9c0, 0x542306bd, 0xaab7b905, 0xc62c8852,
+    0xc729d25b, 0xc6e224fc, 0x3c0cba93, 0xb400468f, 0xae974779, 0x459afb8f, 0x371d7e02, 0xcc6ea86c,
+    0x00000000 }, /* 10**00000000000000003721414268393507279612537896386583215890643766719068468641229\
+                         81980487315514059736743009817965446945567110411062408283101969716033850703872 */
+  { 0x00000000,
+    0x40000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46,
+    0xdab2020b, 0x9e167419, 0x943f7a77, 0x547ce8f8, 0x92faad8e, 0xb42f5850, 0xd7b92015, 0x9729533e,
+    0x00000000,
+    0xda866f01, 0x6b3200b3, 0xdb26d2fa, 0x83bdbc49, 0x2dfbaaee, 0x6ad5e26c, 0x83e26b57, 0xeff8ba43,
+    0xae135db5, 0x58ed838c, 0xa6d54530, 0xa820e61d, 0x7381a3ff, 0x937d5fa7, 0xa7d3c043, 0xcfab94cc,
+    0x9c8d2e33, 0x03de45d2, 0x0107a001, 0x3f0a0eaa, 0xc1465afe, 0xd2cd8d1e, 0x19716878, 0x3c5319ee,
+    0x4caf3059, 0xa2715df2, 0xb29b1bf8, 0xc2de75bb, 0xd827b4fc, 0x048e1dd3, 0xe8ba9476, 0x53732191,
+    0x5128cb73, 0xccca1024, 0x59c2439a, 0x91c19a6f, 0x35fa6e00, 0x8c53d9dd, 0x3643ea9c, 0x11aff5ea,
+    0x2b911691, 0x28ca098a, 0xaf05fb5f, 0xe6e6e231, 0x3a58a2ab, 0x735ea751, 0xb112d796, 0x9b9122be,
+    0x185176d9, 0xa3603d92, 0xdbe6b87b, 0x24ae98e4, 0xb5474f6c, 0xd4bb5e56, 0xea86bcca, 0x7864cab1,
+    0x440a04c5, 0xce85bfb1, 0xa4c36428, 0x5a69b71a, 0x39c01ac9, 0x6771d826, 0xf9768d60, 0x0c933652,
+    0x190c8a65, 0xd5e93464, 0xa7f42b26, 0x6f1bc9f2, 0x07ba3659, 0xbdfc7c9a, 0x2b4e6999, 0xb173408b,
+    0x471f584f, 0xe7df3e47, 0x5f9ad64b, 0x74529e74, 0x54a097ea, 0xc8ef0024, 0x7982f1a9, 0x8c3975e9,
+    0xf2684c91, 0x3d2f53d1, 0x0a2d0d61, 0x54273c4f, 0x79384d18, 0xf1a44a41, 0x256f9a0d, 0xab835b5d,
+    0xb49b7ccd, 0x7799733f, 0x2337f50c, 0x98eb9bf3, 0x27303bb1, 0xe4da69a3, 0x21a4eab5, 0xd1b618db,
+    0x77f77c42, 0xe82d76b1, 0x3660c3be, 0xc68fe110, 0x5a0fbcda, 0x8b1f811e, 0xf04d4478, 0xdde64b77,
+    0xcd835d86, 0xea16dcf8, 0x7c3df72e, 0xe7536e86, 0xc5093ed2, 0x77ca8098, 0x56ae3536, 0x28854645,
+    0x9d4d2167, 0x59eac1a8, 0xd3d92a58, 0xc2d77f6e, 0xb9d0f6db, 0x6fa775e6, 0xf616b9c8, 0x5a7a5584,
+    0xaba463f9, 0x6ddc1b75, 0x9f8f6ebb, 0x7c1411ef, 0xd743a801, 0xbec9085a, 0x7f4199fb, 0x4f2a2057,
+    0x918a6107, 0xdad89a1b, 0x6ec5344d, 0x2f8658ee, 0x6b358471, 0xa748a1d4, 0x26b65c28, 0xe93e51d2,
+    0xa7d927be, 0xbd096bed, 0x847c630f, 0xb7af1177, 0xd6135481, 0xac559a7f, 0x85e95a48, 0x1d6a9de1,
+    0xf4a20f3a, 0x96152259, 0xe41e6638, 0x5cb8cca6, 0x5b78df5c, 0xb5485e20, 0xbc354383, 0x34e57108,
+    0x9f6ef8d4, 0xb6b1f7c8, 0xc02fbb97, 0x44a06cf0, 0x5e41adcd, 0xd5270407, 0xc60d0574, 0x7ed946e2,
+    0xa45ea9cc, 0x45258408, 0xce96bac7, 0xc75af816, 0x3de3f3e8, 0xdfdea7f6, 0x63add03b, 0x79642273,
+    0xf8915b07, 0x33e8e732, 0x9ccbf6bf, 0xaa73a2c9, 0x04cce392, 0xf705e28d, 0x0713ca12, 0x3841f87b,
+    0xdaf0d999, 0x8f85c2a0, 0xbe28a15b, 0x440dd1f3, 0x4db0c99b, 0xe932b7c4, 0xb36a3fe0, 0x398a35de,
+    0xa228778b, 0x36dddab0, 0x49a71ac8, 0x90b72f16, 0x9d1794ca, 0x3e844d65, 0xe513b3a9, 0xd79a1cf2,
+    0x570cea59, 0x8a9b322b, 0x28d874ea, 0xc6264a49, 0x6b1e70be, 0xccffff43, 0xd2367fce, 0x9d24da2f,
+    0x1d0d8d32, 0x7d6aa41d, 0x2084bc5b, 0x8717df75, 0xf4d1a021, 0xb1054f91, 0x7176b676, 0x5f36d7d4,
+    0xa3703f63, 0xc1df62c4, 0xc286630f, 0xcb477ada, 0xc1f44595, 0x886083b3, 0x787b2ed3, 0x91659cff,
+    0x053cb450, 0xd17026d3, 0x74866be8, 0xc6455980, 0x3c9a4166, 0x79499e55, 0x24189128, 0x1c45d0b5,
+    0xdc17301e, 0x42369fb8, 0xd215a670, 0x743bf6fc, 0x59c55990, 0x8745bc97, 0xf41e485a, 0xde1790bf,
+    0xc48e6448, 0xc933c639, 0x2ba3d753, 0x132f7ca0, 0xcb097f72, 0x77e4f74c, 0x1188416f, 0x43202b9c,
+    0x2f47d441, 0x1d8fb197, 0x7d12c312, 0xbc403165, 0x25edf49c, 0x501dc5d8, 0x934c41cb, 0x994d7d9e,
+    0xe1bd3cfc, 0x032a6e5e, 0x4e64fa35, 0x3319bb6d, 0xb4cc4af7, 0xb8f83e46, 0xe8316f18, 0x1657929c,
+    0x46a43a50, 0xbcac1eed, 0xcf176f3c, 0xd6cd04c0, 0x8c3ec87e, 0x70ae4081, 0x42e59901, 0x489cfc37,
+    0x11db16ee, 0xfeb872ab, 0x02a60082, 0xc72c0b85, 0xd07a3836, 0xfa9519da, 0x6ada2a26, 0xd08c8046,
+    0xff3665da, 0x9ce3edbc, 0x735af8d1, 0xcdd789fe, 0x215426f3, 0x9152c648, 0x338207c8, 0x8dbb444a,
+    0x0e1163ac, 0x78429f2a, 0xf459abee, 0xd2245528, 0xe2ae5aa3, 0x11c79516, 0x42ec7c09, 0x07e8b972,
+    0x67f9b83d, 0xe2ed4b56, 0xd382ec86, 0x1395caa1, 0xd3f7da9c, 0xf58e4f45, 0xc46eb350, 0x80e19005,
+    0x095ea8e5, 0x25e78e9b, 0xeb3f066d, 0x2babc838, 0xca0f3137, 0x09d18d29, 0x71b442fc, 0xac94cba6,
+    0x9643f73c, 0x99effd92, 0x96b6f660, 0x12fc9087, 0x099ef799, 0xfdabe2d2, 0x917b268f, 0x93c506f2,
+    0x71cfbbac, 0x49212b44, 0xe3311223, 0x48b24d3d, 0xa782721e, 0x099797f0, 0x234f5c15, 0x33a09bcb,
+    0x57915456, 0x9ed85d6c, 0x9932ed13, 0x442e7da7, 0xde71477c, 0x8f42b5a4, 0x7111cf08, 0x43e59755,
+    0xf07a3df6, 0x809d2892, 0x0cec4693, 0x3fa85428, 0xae717f01, 0x1710d2aa, 0x111fa899, 0x20ed95da,
+    0xdf95f324, 0xf576e019, 0x174cec08, 0xd776b4d6, 0x4aab4ce7, 0x9a97b7a8, 0xa89049fd, 0x33895aa1,
+    0xe7eff93f, 0x8872377c, 0xd2ba02ee, 0xb88f020b, 0xa2d84b36, 0xb03e52d0, 0xd939383e, 0x4cb9e5ae,
+    0x707cf309, 0x507017bd, 0x56850c1c, 0x49f499cd, 0xb312f578, 0x9e1f8ee7, 0x706dcb50, 0x4eb71d82,
+    0x04918a28, 0x89971b25, 0xd760b8e1, 0x36bdd1c8, 0xcf79a8cb, 0x8b686c29, 0xbc3a8c09, 0x9f9540ad,
+    0x4c7fcf1a, 0x80a7abdf, 0xb47b71c8, 0xde8a8648, 0xec730264, 0x0ac9d95b, 0x8c123aec, 0xaf1021ef,
+    0xfcaa902b, 0x5c783259, 0x6143ad58, 0x6241e8a9, 0x2dcd9a34, 0x215bd43d, 0x59fbaedc, 0xc2af5fc1,
+    0x583f57da, 0x7aac23b6, 0x757435d7, 0x54a40132, 0x83d2abe4, 0xaf4134e4, 0x81af4c83, 0xffe34264,
+    0xfe115e27, 0xdaf5a617, 0x58a4b929, 0x3a6c8300, 0x99aaf38f, 0x158a7f9c, 0x00091eed, 0x1336ff83,
+    0xcf9b3603, 0xb35dd433, 0x90dfbeb3, 0x9526ce76, 0x834a95f5, 0x8e34ce08, 0x07981bd2, 0xf5749176,
+    0xf2a051fd, 0x467bdcb0, 0x44ecc9ac, 0xa7771dbb, 0x9a4c61fe, 0x4c583ce9, 0x3d0520f2, 0x39b785cc,
+    0x05b096d0, 0x322b2fd1, 0xb0f1a539, 0x66ba6029, 0xbf0fe117, 0x97240a48, 0x7399adb2, 0x5388d2ed,
+    0x786c013f, 0x5bfc244d, 0xc34d3c38, 0x5e024144, 0xd0e56670, 0xbf784287, 0xc13a8a53, 0xef9c531f,
+    0xc0a8f52c, 0x3279fda4, 0x647540fc, 0x96127eaa, 0xf8e21be5, 0x850ca416, 0x80bf3dc2, 0x8434556d,
+    0xbb263d88, 0xd12efdb0, 0x8dd76e6a, 0x6370b0d6, 0x6d4bf400, 0xd01c0b9c, 0x9bff7ab1, 0xb189e2ee,
+    0xd86870ba, 0xdeb59780, 0x61d8d543, 0x7c80116c, 0x75f94c29, 0x24166da1, 0x2a551b2e, 0xbd7c9f1b,
+    0xffc0dd1c, 0x03af47f0, 0xb55e7308, 0x53dcd99d, 0x97758ab5, 0xdc2eec13, 0xae9f0c57, 0xb1eeabac,
+    0xfaf474c6, 0x8f603ae3, 0x9b2f55cc, 0x76751c01, 0xdee54127, 0xc63efa37, 0x4ec10130, 0x0648a407,
+    0x596b6085, 0x467ffc26, 0xd26e9ed8, 0x55297adf, 0x5308b7af, 0x0f555d5b, 0xbfc3e517, 0x89c55e30,
+    0xa54db049, 0xfa40e76b, 0xe409d065, 0x0e369d70, 0x6db3870a, 0x67e6c07f, 0xf2008769, 0x30a4edb0,
+    0x30240f51, 0xceb9d4cc, 0x6319647c, 0x7d8f4cb1, 0xb5bd47a5, 0x883633e5, 0x7273f3f8, 0x7d0abb44,
+    0xdb8ab2b1, 0x1a290b7d, 0x18b38cc3, 0x2112057b, 0xeca53661, 0x2336afa1, 0x01d511df, 0x5d41a8d0,
+    0xcbd30664, 0x2a5bd552, 0xabd6f131, 0x3da0b5a8, 0xe06458b4, 0x7c21ded6, 0xeaac66c0, 0xeaf39143,
+    0xf1fb9f4e, 0x8c5e1f17, 0x69075d49, 0x7cddc97c, 0x5c2708c7, 0x327fc581, 0x6a3b1141, 0xa3c0a13b,
+    0x38d1a1d1, 0xc589c062, 0xc26ab54d, 0x5b218d80, 0xdf61619c, 0xa3a26de0, 0xdae1e5ef, 0x19d207f7,
+    0x9ebae919, 0x3a026f5a, 0xc5343755, 0x6eb53036, 0x65889d30, 0x6953beb8, 0x50a8b881, 0x7ac3f68d,
+    0xeffbe24f, 0xd7453ac1, 0xbd81268b, 0x955413f9, 0x7215eeb7, 0xc42aff35, 0xe16cc86d, 0xdd75ee78,
+    0x2c076e22, 0xde3097b4, 0xc797ca9b, 0x5ff018c6, 0xb94dd53a, 0x775072b3, 0x27857856, 0xcdf7faa1,
+    0xf7976058, 0x86658689, 0xb9fd4f27, 0x05c84410, 0xee037a19, 0x95368ab0, 0x83fc5ebc, 0x55f735db,
+    0xa320c0fd, 0x0b3bb967, 0xe1bc361f, 0x94fbbfc6, 0x30ce228d, 0x2fc2401e, 0x8827bdd3, 0x9718ac73,
+    0xd281c297, 0x508b1869, 0xa827173f, 0xa0809cf9, 0x2025862d, 0xf08590e7, 0x6f160f07, 0x5bbdc0a1,
+    0xe0972322, 0x000cb524, 0x4ba3cf90, 0x9729233c, 0x0386fcf8, 0x9bbf873a, 0x12cc92bb, 0x3734a4c1,
+    0xb1ecbec0, 0xaab62d2e, 0x6af6d83e, 0xae3d757a, 0xc3fe8535, 0xa3755072, 0x41cc8bf0, 0xbf72b47a,
+    0x8f236eaf, 0x78116f3d, 0x70cd8349, 0x80b05f84, 0xb7579d48, 0x8ff2f313, 0x5d1eadec, 0x3f6874d4,
+    0xfd45e69a, 0xd1b07ce2, 0xa7520464, 0xb07e6a1b, 0xce6b30c1, 0xc16d6128, 0x0e83d265, 0x505f40e0,
+    0x9c29bc7a, 0xc52fe3c5, 0xadd56ee1, 0xbc77409f, 0xcd8b1f93, 0x01222533, 0xecfa1c8d, 0x2fcb8db1,
+    0x6dbd13d8, 0x5f8f125a, 0x7bfe7aa1, 0x9b62f865, 0xb01693f2, 0x41502d80, 0xa229b308, 0xa131b091,
+    0xbc0d77a1, 0x39c6c810, 0x40eddb6a, 0x7d77ff89, 0xe8083f14, 0x97358e71, 0xb9df4c80, 0x7ac5bb2a,
+    0x40bd9a0d, 0xe8877565, 0x6b27a452, 0x0303944c, 0xe2cd04b9, 0xf3fc1d57, 0x53f1840d, 0x2882a722,
+    0xcc2979d7, 0xe12a36cb, 0x4ba52d90, 0x5198cc11, 0x2cb3dc7b, 0x3ec9b153, 0x62b4762a, 0xdc4da456,
+    0xe5eac15e, 0x0cdc53fd, 0x09e6ae70, 0x4ebfb8b3, 0xc8f5f9a5, 0xfd1ade3c, 0x6228572d, 0x1cb731df,
+    0xbbf0ce79, 0x672c9149, 0x7b582e08, 0xc03dd4b7, 0x51ed262f, 0xcc6add70, 0x23b7963f, 0xeb622243,
+    0x22edb451, 0x70681de8, 0xfdd64545, 0xc4bef7b1, 0x7e57c93e, 0xdcd5b0d8, 0x425fe9dc, 0x3384d9a7,
+    0x5fcff9ed, 0xe5b3aae3, 0x34c529b8, 0xf666574f, 0x9504e5aa, 0xbfdd7b20, 0x13f87852, 0x48d4455e,
+    0xb95229a7, 0x8ae0698c, 0xc5876309, 0x6ed3bb1a, 0xa569ebd9, 0xbfedfe2c, 0xbad06cd7, 0x1b450398,
+    0x8e45f50d, 0x810242cc, 0x9c3118b8, 0x2e655695, 0x4fdb698b, 0xc0609f70, 0x2c316a19, 0x0bcb7215,
+    0x587d7737, 0x631e522c, 0x6147ccd0, 0x1cb78a4f, 0xb0ce0e25, 0x24a5d57f, 0x98de6072, 0xf514292e,
+    0xe007b91c, 0x38311c70, 0x3d9567e8, 0x9f8e0b3f, 0x0a6e3501, 0xd1faeb25, 0xff8cf6fb, 0x0e3b9054,
+    0x87cff264, 0xfda8ef7d, 0xdcf869c9, 0xdc319db8, 0xc27b0563, 0xbc24a95e, 0x24d59c16, 0xac8ce674,
+    0xe3b7d0fb, 0x26a37b6e, 0x9f2d73cc, 0x336f9939, 0x6c636558, 0xe1fc3e09, 0x28bfbca4, 0xd3b90ef2,
+    0xca71e741, 0xd472bc1d, 0x1a69d880, 0x3d77f17e, 0xef9fa01b, 0x0a2c2581, 0x9bb3ff36, 0x13444fa9,
+    0x20aff6f3, 0xa40cb137, 0xd4b4a234, 0x7e870eed, 0x7690b31e, 0x5560ef7c, 0x72147fd8, 0x42b88d86,
+    0xfffff673, 0x749ed19a, 0x314e51e0, 0xdc3258c5, 0x22ee5eec, 0x84006072, 0xea4d0779, 0xf1c5c195,
+    0xb5febbb6, 0xa7080a7b, 0xd9fc4dc2, 0xd737fa79, 0xa51c7394, 0x8eeb3cff, 0x29e556b9, 0x6f46340d,
+    0x7d9ec322, 0xbd3b463a, 0x573957ef, 0x4b7cdaf8, 0x4b38bed2, 0x4b5a33ee, 0xbc8feebb, 0x5709f948,
+    0xe7f2b0d6, 0xbec6ce29, 0x7e98d298, 0x7ff76cbe, 0xef7cccf6, 0x42c3e52b, 0xf50698a3, 0x4299ee28,
+    0x2bd088eb, 0x62a63298, 0x3a417ffa, 0xc01d5423, 0xc83abce8, 0xc9979518, 0x087d07fd, 0x58025e68,
+    0x5786cb4e, 0x1a63e973, 0x87c0ab52, 0xd5ab9e35, 0x0c274cdb, 0x6d3d8414, 0xaf1881dc, 0x27c6c883,
+    0x5322c234, 0xb0189277, 0xab09430a, 0x173f43d2, 0xe30fbb67, 0xd566ba6a, 0x66f59e01, 0x5d9a5998,
+    0xc0f32a29, 0xf1d4675d, 0x6276495e, 0xc006d6ce, 0x13dc5947, 0x8577fdd4, 0xbd7ca172, 0x3fc87942,
+    0x27a21a47, 0x3bf6d7f8, 0xcf1b02f1, 0x1af8ab49, 0xab49d38d, 0x1cce7d54, 0x79b0ac64, 0xabdb1bef,
+    0x9698ee03, 0x667ca013, 0xd90b4c9d, 0x8a8b1c06, 0xb57ff5ab, 0x667f87c8, 0xb55cc95e, 0x918261b9,
+    0x50e47c38, 0xd07338ae, 0x89ca00f4, 0x2382a942, 0xd17991cb, 0xce9a86fe, 0x2911d19e, 0x086d267a,
+    0x066b9ce1, 0x22f26951, 0x04433b4f, 0x38c04890, 0x343aafbd, 0x30ca603a, 0x2edf8f1f, 0x2236b209,
+    0x8c81f54e, 0x56dd9567, 0x1f082205, 0x01bef299, 0x5aba1b29, 0x074268f0, 0x3b0f38be, 0xa4daf612,
+    0x2985cd9b, 0xd2b16276, 0x49f2f857, 0x0fab07db, 0xb9b0508f, 0xe4c92d79, 0x607d6a82, 0x0a9e9021,
+    0x4ab891a0, 0x06bfbaed, 0x16a86181, 0x5429915e, 0x9d0534f7, 0x1efecc86, 0x8c8b12a3, 0x6dc657f6,
+    0x407d1f92, 0x3db8cd5b, 0xe5a6b064, 0xf008ef02, 0x0c907e12, 0x40d9eafd, 0x4d4eae17, 0xc72e717a,
+    0xafc3d1a5, 0x0e73e9ca, 0x94ad7113, 0xb24a9400, 0xc76b0eda, 0x74948b89, 0x0df25219, 0x4b4479ed,
+    0x1fdf34af, 0x818a170a, 0xd92b7c54, 0x972e937f, 0x73dd1b3f, 0x9d32a3bc, 0x3b528a13, 0x88c45d4e,
+    0x6dd60d73, 0xc998967a, 0x1cd6ab3b, 0x9355dd27, 0x046a0899, 0x1be4eca3, 0xba4f9de9, 0xe1f2a901,
+    0x2f61df3f, 0x47553fa9, 0xac7d0762, 0x9143783b, 0xf82029c2, 0x6c502863, 0xce47e56e, 0x9a1dcbda,
+    0xa46690ec, 0xcd70bb75, 0x0c0af39c, 0xa490349c, 0x527bdcd8, 0x0bff0f30, 0x65ce047d, 0xc5d7d216,
+    0xf691c6dd, 0x881ac459, 0xd4845b95, 0x244578db, 0x3789801c, 0xff6e12a2, 0xc27a2180, 0x5ecde8e9,
+    0xc8a620ee, 0x4e1c0376, 0x3a5657e1, 0x2b084459, 0x0fc02726, 0x59877363, 0xf810d308, 0x911160dd,
+    0x6a66765e, 0x540a2ca4, 0xbe28d53c, 0x3669abea, 0x5ab8ce90, 0x66c4dcae, 0x8bae6e66, 0x470edd4d,
+    0x91d8e973, 0x19c93462, 0x26ef159e, 0x143eb939, 0x6c19f9fa, 0x58c86f4a, 0x9ca76b51, 0x1e468a0a,
+    0x62b35e4c, 0xa2fd9a13, 0xd5621fa3, 0x0d7ea532, 0x09160af1, 0x80142e50, 0x0f3b802e, 0x6e922fa9,
+    0x4de348bf, 0xc4aacec4, 0x7abbae7c, 0x87249e0e, 0xdac4cb4f, 0x8efbcfa2, 0x81a014ae, 0xe277b90b,
+    0xf2a34c0c, 0xaa8b33cf, 0xbb23f3aa, 0xc0659327, 0x9550c1bd, 0xe4d75239, 0x6019c0ff, 0x1371921f,
+    0x5657e662, 0x0870bf97, 0xd08315ac, 0x2df0fbd9, 0x125da25e, 0xfd29c10a, 0xebe1dc58, 0x3f9cc6c3,
+    0xe0a65721, 0x614df22c, 0x35d39d02, 0x8aa34fe8, 0x89136d4a, 0xd2c291b7, 0xcfae8b6e, 0x8412561e,
+    0x71b60210, 0x0a7f1954, 0xc4c3f118, 0xa87c53de, 0xec7b2653, 0xee3410b6, 0xb8cdab17, 0x8f0b7d57,
+    0x809c5e5a, 0xd3a6c681, 0x61f02365, 0x8998450a, 0x57f08269, 0xb04223b5, 0x0466c66b, 0x6f0ab766,
+    0x0480a8bb, 0x77a9f3e4, 0x33fbe627, 0x3b57e0ff, 0xd34ed9b2, 0x43ef18a5, 0x51fbbad9, 0x730487c5,
+    0x00000000 }, /* 10**00000000000000001860707134196753639806268948193291607945321883359534234320614\
+                         90990243657757029868371504908982723472783555205531204141550984858016925351936 */
+  { 0x00000000,
+    0x40000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23,
+    0x6d590105, 0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747c, 0x497d56c7, 0x5a17ac28, 0x6bdc900a, 0xcb94a99e,
+    0x00000000,
+    0xec8582ea, 0x5fd8b2c6, 0xdcb311f4, 0x7a83b4b4, 0x7cf94beb, 0x636ebfbb, 0xaef2953c, 0x737115f0,
+    0x236d341f, 0xcd2155b0, 0x5898d76c, 0x32afc508, 0x36a84a4b, 0x3b78d7da, 0xfc75cb56, 0x9bdb9bcd,
+    0x79e3f7f8, 0x071bd613, 0x6f9ebc11, 0x9b180445, 0x25e995c0, 0xf26b0a4c, 0x97551ca6, 0x8131f279,
+    0x89d0e18e, 0x35dc5043, 0x6183aa62, 0x852d47c5, 0x86ca0c78, 0x757f3a05, 0x04e5ec77, 0x34d05691,
+    0xa1ed3cba, 0x33118b31, 0x15206b9f, 0xc9959807, 0x7a7d4f8f, 0xf5bb291d, 0x4f53fd7f, 0x99e90150,
+    0x2951d4f7, 0xe6008fd3, 0xfacce480, 0xc409470c, 0x560cf4fe, 0xd9b00653, 0x1292d359, 0x1d089ded,
+    0x09bbd208, 0x816230eb, 0xdcfc330a, 0x81d3b896, 0x3b6e9f99, 0x79bbb2c5, 0x0b67d2a7, 0x8a5739bc,
+    0x1fe6645e, 0x6bafb6f7, 0x87aa972b, 0xe5047d62, 0x59b254a6, 0x8e844138, 0xf19af624, 0xfa1bb22a,
+    0xaaaba8b3, 0xa3953007, 0xb7160499, 0xc735f245, 0x3df2e0f6, 0xa5594732, 0x8475dd9e, 0x2d7ea041,
+    0xea8eb621, 0x48fefa18, 0xd6c4660a, 0xbcf130b6, 0x3a72f0c7, 0x7b7d2d3a, 0xa75c7c5d, 0x2d135356,
+    0xee81a838, 0xd402a8f3, 0xc049d3a7, 0xfac17b4c, 0xeda56c83, 0x7f4f5cf9, 0x84914316, 0x63661382,
+    0x6d326234, 0x0d87fbd6, 0xf7bfd1a5, 0x9978c5bc, 0x2225b96c, 0xde29596b, 0xcc5af1a7, 0x322c2889,
+    0x868aa3d0, 0x1f0af11e, 0x4d6aa9a3, 0xe5ec45cf, 0xf065425f, 0x802749b0, 0x18d06292, 0x951ea161,
+    0x89b33157, 0xefd7b03f, 0xc6365252, 0x4e685b54, 0xd297c54f, 0xaf5e48b2, 0x09f80b2d, 0xfb2d4f89,
+    0xf59a3407, 0x9b93aa8b, 0x64399a45, 0x259fa836, 0x2bc50f65, 0x7fda1331, 0x8619aa64, 0xb647e314,
+    0x4e1a51f4, 0xb6886c82, 0x77d900f0, 0xafc086fe, 0x8c4414da, 0x4c78b320, 0x93e1badd, 0x8f5e8d0c,
+    0x156fdff4, 0x0aedb5a8, 0x85f68d01, 0x5a460b68, 0x2e67ca2f, 0x796175be, 0xf1ae2824, 0xabc64a1e,
+    0x8830c7c9, 0xa9086804, 0xbe08fc1d, 0xdee92482, 0x893fa9ca, 0xf56b158e, 0x7f54fbb0, 0x40e0759c,
+    0xee3a8f73, 0x8e134adb, 0x0a3d4bf3, 0xb8b4a297, 0x06b194e2, 0xd133ad63, 0x390c38d4, 0x8b760cb5,
+    0x717ee450, 0x677f99a7, 0x72551916, 0x800fbfd3, 0x48c1ad57, 0x6c3db5a6, 0x8c3dbc7a, 0x6932140d,
+    0xba09edfa, 0x23181689, 0xcec05272, 0xfd13e4e1, 0xf3ade682, 0x7c3b3040, 0xeb11c285, 0xa5c6d133,
+    0xc3cc594a, 0xaa69c8e7, 0x33dbad3a, 0xe5b6b7dc, 0xa7112b0d, 0x40d1e14c, 0x089e3bcf, 0x4105d84a,
+    0x5fc9eba5, 0xaf987c7a, 0xeb54d3c5, 0x3729c115, 0xca151c1b, 0x8a33343d, 0xb3841dce, 0x99cc537c,
+    0xd9339013, 0x0e5af92e, 0x72fe38fe, 0x415aee93, 0x8ea15b56, 0x862e2d96, 0x6437a003, 0xba1427d9,
+    0x035d34c9, 0x8195a3da, 0x529b2aab, 0x87fa52b1, 0x09716785, 0x600aa142, 0x76cd0cea, 0x85332b0d,
+    0xe8a50e13, 0x7a72b29a, 0xe3d167f4, 0x3e700729, 0xc3cf5a4d, 0x515ee3a5, 0x023b95e0, 0xf3a53dd5,
+    0x9c747633, 0x5b3ae66c, 0xc452bab1, 0x37ae5da9, 0x4d061c57, 0xde123d8d, 0xab187cf9, 0x1c34f108,
+    0xe1005d0c, 0x7269c51d, 0x3e641dbb, 0xbe08cf3b, 0xe66a50e6, 0x889219d1, 0x64d28be3, 0x68848344,
+    0x4c468ad7, 0x4bb8970c, 0xaf25cbae, 0x1097779c, 0x35a6e4e3, 0xb089524b, 0xe88a307c, 0xc53cb72e,
+    0xdf362765, 0xb113d673, 0xa8ecec48, 0x3fc75ea8, 0xd75b75b8, 0xbcd0822f, 0x684d9dac, 0xf73c19f7,
+    0xf4de1303, 0x773ce0a4, 0xc510c37d, 0x8c51a5c2, 0xabf90420, 0x3dd4bbd6, 0x19cd6a46, 0xd32c5315,
+    0x6b335836, 0x9cb63e98, 0x40ce1596, 0xedc5599b, 0x4f6fe3eb, 0xdd44219f, 0x18a685f7, 0xea88b0a5,
+    0xd41ae805, 0x9d64f0ac, 0xec2567b1, 0x49db1058, 0x31e8b6ed, 0xc5de7e70, 0x0768665a, 0x66cd141e,
+    0x4be8cb9e, 0x3e4ebd5b, 0xc0126a4c, 0xaf2aa3dd, 0x7732bdb5, 0xd9688c13, 0x54ac041a, 0x5081f3ab,
+    0xc03a2e4c, 0x2234ab06, 0x0d624d40, 0xa9e4e7eb, 0x624fb00b, 0x08a8d4a8, 0x785cc5a4, 0x3d3aa382,
+    0x6af3bf53, 0x76aea2a5, 0x9ee7b079, 0x60198c8b, 0xc7a60270, 0x6124decc, 0x86625cf6, 0xf4fe2b9f,
+    0x20bc946a, 0xa63d43c3, 0xab0337f5, 0x264ff5d0, 0x2005f1b1, 0xcbd03eaa, 0x4c83db4e, 0x8502a5a3,
+    0x30070d6d, 0xd9e328d3, 0x1ff9d3b5, 0xfc41c2aa, 0x516d1657, 0xecce8417, 0xe14dd849, 0x43a3fa7e,
+    0x40c755ed, 0x993ba36e, 0xfbfc2842, 0x3bff648b, 0x5cc059a0, 0x9594546b, 0x0bf809db, 0xb5a874be,
+    0xfccc1c3a, 0xa8c23a74, 0xd2ec0248, 0x5010c58b, 0x139c291c, 0x13d1e062, 0x3e3c1f56, 0xe2eb5ad0,
+    0xdc012aa9, 0xdfc4bb2f, 0x19805e9d, 0x2e89a5a9, 0xa5a3b47c, 0x0a9d9031, 0xf8d136dd, 0xbdeb0a0d,
+    0xd45d6654, 0x82dbfe9f, 0x394ee719, 0x73f00310, 0xaa866590, 0x3619d002, 0xcb326fcf, 0x728d311f,
+    0x6d7da0c9, 0x9e7d02fc, 0xb150cb85, 0x382e3419, 0xf77c7000, 0x2011b896, 0x9fa452de, 0xfe912194,
+    0x955501b5, 0x66ae150a, 0x29901efd, 0x89f72e0b, 0x5213a262, 0xad79009a, 0x63e62d56, 0x3915ac0a,
+    0xdf333f1f, 0x5787c98f, 0x200f55e6, 0x17d3435f, 0x8dc3caeb, 0x14ae6889, 0x5abbc57a, 0x6302ec16,
+    0x4b5f930b, 0xae90e22a, 0xcf98c74d, 0x6718443d, 0x494f8a35, 0xad0867a1, 0x14971d58, 0x315a2419,
+    0xdea4215e, 0x54f5d548, 0x665baee5, 0x48ba5621, 0x726ac1be, 0x22dc30cb, 0xdcf0564b, 0x0098620e,
+    0xb9df213e, 0x27b633f3, 0x5e56c010, 0x11a62099, 0xa8fd0305, 0x5a383af4, 0x0d461e23, 0xaf6ebb6c,
+    0xaebf0cf5, 0xbfcfb246, 0x2c89aada, 0x56cd28fc, 0xccd453bb, 0xea908666, 0x6b54e370, 0x436f14e8,
+    0x047b7688, 0x275bd865, 0xe5cdaf41, 0x8498847b, 0x4d6835a5, 0xb85e7bc9, 0xc2c02fca, 0xd301895f,
+    0x7fe9729a, 0x60d30ef1, 0x1d659eb1, 0xcd562de8, 0x285aab8a, 0x2a69c19b, 0xc7f09047, 0xfadd703c,
+    0x601d7641, 0xefce49d8, 0xeb373c38, 0xea55fcd8, 0xa4b386cf, 0x043eb21a, 0x1294569b, 0x753cf0b5,
+    0xec48140e, 0x2ea2f707, 0x4d3471d4, 0xc34627a2, 0x32f17670, 0x3530e3ab, 0x8c237cb8, 0x55f296d0,
+    0xa374559b, 0x74d85a49, 0xb404333a, 0xdb6a2861, 0x0f52e781, 0x503ec122, 0x1ffc0d38, 0x4e428c83,
+    0x07de0e15, 0xb3c81488, 0xd8c0265a, 0x841c71e2, 0x7c4a84bb, 0xf27339d4, 0x0cfe5a8e, 0xfaff0bc3,
+    0xcc2c1934, 0x9770376b, 0xe89bb69e, 0xb07e9199, 0xd14cec22, 0x653d1000, 0x88bdae05, 0x23a7ff0c,
+    0xc866dcaf, 0xcb8c7f38, 0x55bbe241, 0xde9ff0cd, 0xe16719a6, 0x765c328c, 0x230e9e25, 0xd8f5004c,
+    0xbc5fc781, 0xe8e6f661, 0x46cf931e, 0xf8d4c5e9, 0xffe7dc01, 0x643e5e47, 0x004feeb6, 0xf01ab273,
+    0xf953687d, 0xe3c3d86f, 0x01bf619e, 0x582c021c, 0x0cb2e82b, 0xca0cd9f5, 0xa24d7dfb, 0xe3129c38,
+    0x16b44748, 0xd30daff7, 0x8ce6d7d5, 0x96bdf9a9, 0x8d624774, 0xd20125fa, 0x32ff8f5e, 0xa681679f,
+    0x2bc28657, 0x0fb4e9c4, 0x02b37bab, 0x3949ade3, 0xa4cb2faf, 0x0565e497, 0x45f2e009, 0x2c366a25,
+    0x7c42e402, 0xe83c0da2, 0xa50334b1, 0x7d770d18, 0x7958e9f9, 0xff52c272, 0x6074d96b, 0x54d713cd,
+    0x817f5af6, 0x3ba327bb, 0xdb78fb1e, 0xbc4b9ea6, 0xa03114ca, 0xa155c665, 0x6ee33819, 0x4f9089f3,
+    0x8ff885ea, 0x813ef442, 0xcb9897a8, 0x82eabf22, 0x467c5c4c, 0x10d6c803, 0xcb486180, 0xe51917f9,
+    0x62e95f85, 0xa3c3721c, 0x027a440b, 0xc6e35ac3, 0x86f1f20b, 0x84b6fde6, 0x87836ef7, 0xcf9dc52c,
+    0xd908352d, 0x1c734f13, 0xbc1fcff5, 0x10b9e19b, 0xe188df97, 0xf2419171, 0x04242dc0, 0x54377a05,
+    0xb0fdc0c6, 0x8586a058, 0x3a2c8679, 0xa587da84, 0x11dd48c4, 0x37e9b9af, 0xe7dc6d00, 0x5da3ab0f,
+    0x284eeb3d, 0x36ac7427, 0xfbf8c4cd, 0x81e72cfc, 0x961ccfdd, 0xd1a87e4e, 0x48ca5501, 0x54949390,
+    0xab69ce8c, 0x26cb37d2, 0x936b5e7a, 0x75a4340e, 0x1a1add15, 0xaf2889e3, 0xb50ee461, 0xf767e34b,
+    0x08fdd757, 0xb083c855, 0x7d2d015f, 0xd3edfc73, 0xba760e6e, 0x26acfa4e, 0xd7e368e5, 0x4858a1bf,
+    0x749fd6e0, 0xec48d13a, 0x42acdc3a, 0xd0180530, 0x209551ee, 0xe8b75933, 0x3ca349cf, 0x0f8ea455,
+    0x218c7875, 0xef5ae232, 0x5051b1d0, 0xedff388a, 0x1b7d6716, 0x11dc9161, 0x54d118e9, 0x1501cd46,
+    0x7903d1a4, 0xd4acf8d1, 0x91018961, 0xad57e9f4, 0x91eec006, 0xe4a7149d, 0x5da69748, 0x4f06b959,
+    0xc8c4b90b, 0xe5a4b261, 0x2e994c72, 0xb36f1088, 0xe303292d, 0xcda88dbb, 0x8cd89656, 0xa6baf61a,
+    0x7acfb964, 0x9d5509d7, 0x8cc42024, 0x3c58494b, 0x623679f6, 0x3b6472c6, 0xc21eca9d, 0x31c3050a,
+    0xcd738c4b, 0x0b079cfa, 0x2a62d7d7, 0xf6550914, 0x191360b3, 0xb5923d7a, 0xc83cb84e, 0xed14e4a9,
+    0x3656a5bd, 0x1bc4b5b4, 0xa5fc5fa7, 0xda9e6fdb, 0xd596940b, 0x88feb5a1, 0xa3045048, 0x7d215f6d,
+    0xd49abfdb, 0x8b9253c0, 0x4ddcf6c6, 0xa203ba27, 0x39422bfc, 0xa23306eb, 0xc23de130, 0x42dfa676,
+    0xadcbc90a, 0x8e0555fd, 0x08f5943a, 0xf7a80954, 0xcf8a5ef6, 0x73e703a7, 0x5fd5126a, 0xb95d77c6,
+    0x0c0b0483, 0x6b9a9401, 0x24bbc38e, 0xb1b3844d, 0x913c14b2, 0x1c781a59, 0xbb20b6a2, 0xf59150b4,
+    0xabf256f6, 0xb1517748, 0xe5c064f8, 0x48dd968a, 0x74e46bbf, 0xde6f8bc9, 0x35236a0f, 0xda249e6d,
+    0xb393408f, 0xf6d87984, 0x28c46e55, 0x6a389bed, 0x1cace9e3, 0x262bd91e, 0x47e9b5c6, 0xe8be69f5,
+    0xabe1c66c, 0x2a360731, 0xe5ed88e2, 0x1d958280, 0xdc804c67, 0x1de170db, 0xe3c971ca, 0x84b23577,
+    0xbab67c9f, 0x60df37fd, 0xbb39e585, 0xfdc4bb40, 0xcb90d140, 0xc31eaad7, 0xb576276b, 0x9de5da02,
+    0xe44d3a7e, 0x45e966df, 0x702ebf4b, 0x81bd5709, 0x81c1d2c5, 0x33e19676, 0xf99f58df, 0xc44fe4f2,
+    0x1e5faaba, 0x4bd8ea87, 0x24e747ae, 0xac92808e, 0x81357d8e, 0x782f35a2, 0x10442e18, 0xa595da6d,
+    0x42387c0c, 0xcbf0ac99, 0x32e9d93d, 0x978fdfd6, 0x9234b6ad, 0x37c30c4e, 0x15ca2ddf, 0x0fb3addd,
+    0x5728fd64, 0xff05b75d, 0x1a9bbbf4, 0xa831216a, 0x5dbb897b, 0x7b1db006, 0xc1bc6ede, 0x12dd6ec8,
+    0x5d472f76, 0xa2833175, 0x915d002f, 0x01ef1aca, 0xe77a8d86, 0x06543e68, 0x1728c6d4, 0x8d371a0f,
+    0xbfc627c8, 0xaf847e58, 0x4c28c6e3, 0x24fe57c4, 0xf66acc34, 0x8c265d4d, 0x9f9cd210, 0xfac54d84,
+    0xbace0a07, 0x4c3003b5, 0xf9750b7b, 0xdcdbb388, 0xbd83c727, 0x9c8f1ec4, 0xace09101, 0xa4f16a79,
+    0x035cbc13, 0xd410e6b6, 0xae38f69a, 0x4ad574c5, 0x83fc9d14, 0x160f0dd0, 0x92eb89e3, 0xdb71f8b4,
+    0xccbd0a9a, 0xf55d757d, 0xd95da647, 0x34e5e8f6, 0xa9c2338b, 0x94895ec4, 0x9e7f475e, 0x2c6d590d,
+    0x7f095cfc, 0x51557535, 0x5da4d64e, 0x3ce7ce4d, 0x3a483e1b, 0x35290285, 0x672cd8ab, 0x407205b6,
+    0x45324db7, 0x7986d374, 0xf1f41019, 0xaa6b3ab0, 0x319a759d, 0x1694e1cc, 0xccb88c00, 0x8fa81006,
+    0xbcf887d4, 0xcf43a34a, 0x058399e9, 0x37432f98, 0x02e13a04, 0x9d2ef40c, 0x63806b09, 0xda517400,
+    0xb7b2f192, 0x459b41b9, 0x87e6a253, 0xa8f33576, 0x0e428436, 0x50624890, 0xd752a6af, 0x7615b4ad,
+    0x12674f30, 0x86432ca2, 0x986bf0a7, 0xcbfe11d1, 0xf7d07e5c, 0x3b048ba8, 0x3ea80899, 0x85110287,
+    0xacbb4881, 0xe2dac9dd, 0xad654b89, 0x21a1fc17, 0x35093b6f, 0xa7f053cb, 0xa1cb588d, 0x13c44e7a,
+    0x49559647, 0xfe1bf73c, 0x0913720b, 0x072e1058, 0x64991830, 0xc77bb86a, 0xb71e0d6b, 0x9e63e9d4,
+    0xf476630f, 0x93867e32, 0x8de5afc5, 0x24cdd769, 0xdfe3585b, 0x2e785611, 0x31787c75, 0x53adf558,
+    0x3a6f3bee, 0x7bfe3826, 0x336ccddc, 0x1a668b64, 0xc95d3462, 0x890b0cf2, 0x8e4abdc3, 0x31b06d3d,
+    0x58669a08, 0xaca165eb, 0xfc058a7b, 0x8b1e7d76, 0x75dd4b26, 0x2d9b6c2e, 0xde70922a, 0xabcadb04,
+    0x0c43807b, 0x37b5086e, 0x71db7c5d, 0x388e5dfb, 0xa5cd2596, 0xeb8aac40, 0xd4459f19, 0x898f9c13,
+    0xd1bc174d, 0xbffb729a, 0x26f8bcb7, 0x4d8318a0, 0x7fc315e6, 0x34df1fbd, 0x11e751e1, 0xa22dff25,
+    0x775656ff, 0x6f3a9bba, 0x3849cadd, 0x43c3c87d, 0xc54ba9bd, 0x1f893190, 0x3e319cd8, 0x920dc15a,
+    0x2c534333, 0xfaf0febf, 0xf3c95020, 0x0d2b11bf, 0x6bed1c46, 0x67fce9eb, 0x265799de, 0xa9751136,
+    0x36fc8f6e, 0xad2438b4, 0x2658615d, 0xafbcd0d7, 0x1363d3db, 0x83ce6439, 0x4125e45c, 0xcfc6e0cf,
+    0x501c690f, 0xab07a14a, 0xc192a8f3, 0x1c15c846, 0xb5592733, 0xfac86cab, 0xc30bfd2c, 0x771c89a5,
+    0x505b2ab7, 0x678fcaa8, 0x8ba32598, 0x66fb11fd, 0x3f170dd1, 0x5b154c99, 0xd0febf38, 0xe39a7712,
+    0xfc2f3766, 0xec6e9edd, 0x2924e581, 0xe105f5e4, 0x846e3ea8, 0x62f3ca31, 0x117b935a, 0xdb670d9d,
+    0x9afc3f4f, 0x001f207c, 0x6e7a758d, 0xcf9bc435, 0x880c979b, 0xf9c501eb, 0x5f4cc31d, 0xcdb7ee08,
+    0xcbb0bba2, 0x6327df91, 0x2823a3c3, 0xeef30044, 0x70a5a284, 0xa4e489a7, 0x15586c9f, 0x20c883b6,
+    0x41e228b3, 0xfcfb3775, 0x7e34e92d, 0xe1050f82, 0x81bb2a67, 0x1ff25ab6, 0xb1813cbe, 0x549f2c70,
+    0x51542a96, 0x0d921e27, 0x1c4b77e8, 0x6b3b4f85, 0x00ec10fb, 0xa5bd6b39, 0xe593ebfd, 0x080c11d6,
+    0xb2f20035, 0xadb90a7d, 0xca59e34e, 0x55e9463b, 0x7bb02ed6, 0xb5b2bf05, 0xab5223b1, 0xda5bf2f6,
+    0xc4dc79df, 0x6ba37c32, 0xff968335, 0x42938a98, 0xcc14a5df, 0xdff944e0, 0x2212d640, 0xfeb220e5,
+    0x342e9fc0, 0x3c91f479, 0xf8ee2227, 0x4d014570, 0xdb07a214, 0xed3b9452, 0x897bbffa, 0x962f4db4,
+    0x6083529c, 0x7a8517cb, 0x5885f591, 0x99f6faa1, 0x373aa2c3, 0x561f5a07, 0xa18c72ed, 0xec3cb7f2,
+    0x396482c6, 0x102ccd61, 0x3e545d84, 0x288c17d8, 0x3fee94f5, 0x096b77c3, 0x3aee7d7c, 0x5ba4bc80,
+    0x7ff22ccf, 0x98a749ec, 0xa3c3c65f, 0x18e18928, 0x7f5badb7, 0x13dd918d, 0x5f504e21, 0x1065903d,
+    0xbf4a6a61, 0x60858052, 0x19984259, 0x6f23ffc7, 0xc6941570, 0xc09a6678, 0x8b53af57, 0x5575d93c,
+    0xddc5c648, 0xdebe4034, 0x86eaa6f9, 0xc79aebd3, 0xaf23f234, 0x833dae66, 0x0af2dbb8, 0xf608e562,
+    0xa48c9b92, 0x01e980a7, 0x7f45ab2e, 0x8f1a7bb2, 0x97c3d427, 0x2c9e7815, 0x3c14fa35, 0xf58db805,
+    0x5ec39009, 0x1f243b7c, 0x563d3b25, 0x0b0e66ea, 0xb5748a40, 0x9410f148, 0xd0169b71, 0x01bffd82,
+    0x9becdf52, 0xb521db40, 0x15676dff, 0x6201a031, 0x847f0124, 0xf0f45619, 0x2db99ea8, 0xb2b9aefa,
+    0x00000000 }, /* 10**00000000000000000930353567098376819903134474096645803972660941679767117160307\
+                         45495121828878514934185752454491361736391777602765602070775492429008462675968 */
+  { 0x00000000,
+    0x40000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91,
+    0xb6ac8082, 0xe7859d06, 0x650fde9d, 0xd51f3a3e, 0x24beab63, 0xad0bd614, 0x35ee4805, 0x65ca54ce,
+    0x00000000,
+    0xf6116f35, 0x4a200d15, 0x9f167e2a, 0xf6a744d1, 0x2d8e09a5, 0x0a0d6863, 0xf76006f1, 0xc0f38e5f,
+    0x3cab1d4d, 0xd50dd509, 0x4df2a82e, 0x49908da0, 0x1ce74c60, 0x4bac3a95, 0xf82276eb, 0x2bba32f7,
+    0x57e6792e, 0x31e71470, 0x1e8d7116, 0x74bd85f8, 0xc7981208, 0xa1bb9b26, 0xaa285a8a, 0x03370b50,
+    0x324b4f23, 0x15e9bd27, 0x8e2268e9, 0xaf8a0091, 0x6c7bc5c8, 0xcc6d456d, 0x6534960c, 0xad4c199c,
+    0x77ae6657, 0x629bdc03, 0xb088a185, 0x6f30f3f3, 0x6ea1b316, 0xb70835d2, 0xcff5d638, 0xd7207a4f,
+    0xb0a7d635, 0x5f9eab45, 0xe1c7a385, 0x7e831477, 0x065d58ea, 0x3ab094ed, 0xcb25d5d0, 0x0915097b,
+    0x885c6af3, 0x23e1a887, 0xd04f411e, 0x6f5919ff, 0xd4900458, 0x587094da, 0x4e812a79, 0x76b22a11,
+    0x1e4fd036, 0x662b3b29, 0x00795b00, 0xb33cd0f0, 0x1a58aab1, 0xb3827514, 0x5c333930, 0x3bf14d5f,
+    0x9c24ddd5, 0x6f86a341, 0x0291fb6f, 0xe8a2e528, 0x662c1dd9, 0x4129b367, 0xed2ea0a0, 0xa57f565c,
+    0x68a6fee2, 0x3cea25c0, 0x015939ea, 0xd2229b87, 0xfc9044b2, 0xe90b8b08, 0x05a41efd, 0xef68e35b,
+    0x78af0572, 0x51743d6c, 0x5efd202b, 0x620b8427, 0x9fb4aac1, 0x840e8bdc, 0x6282ffd5, 0xff0ed195,
+    0x20ebd32d, 0x79e467fe, 0x6655cead, 0x6372dcfc, 0x96215a47, 0x94aef2be, 0x2c1d33b1, 0x04016706,
+    0xbe9c7f4c, 0x498da63c, 0xb749dd13, 0xc02e8343, 0x29af7196, 0xc3f4a698, 0xdd96dadf, 0x77a6529b,
+    0x251d397b, 0x3b69be20, 0xa540bd7d, 0x54ad725e, 0x88e58c45, 0x0c280e5f, 0xe99dfe89, 0x2a75994a,
+    0xa97b503b, 0x47a815a5, 0x9e97b3e7, 0xe7b20b38, 0x8e0dce7a, 0x6b06908f, 0xe837b314, 0x3f9c8aa4,
+    0x06af5612, 0x6e234db1, 0xb85d90ff, 0xaaa02f1b, 0x8ec42f30, 0x130876e3, 0x19c1ea40, 0xfbccdf51,
+    0xe6324e49, 0x5f7c1364, 0x948eabdf, 0x7388009a, 0x0ba4672e, 0x2a079abb, 0x75e4e753, 0x8f993933,
+    0xa7cee701, 0x42380c29, 0x57bae3ea, 0x0e080170, 0xd875a760, 0x1a379ffb, 0x48de0668, 0x682f610b,
+    0x4d9dd8db, 0x0a8b2bf7, 0x80222b2a, 0xb8f059a0, 0xdcfcd2af, 0xc1527261, 0x6cea1ed4, 0x0a6bf116,
+    0xd9b9f0d3, 0x5208528e, 0x9d5279b3, 0x4437c323, 0xd7e25ca0, 0x2ac31400, 0x6a79e3cb, 0x07962560,
+    0xc07566f9, 0x0d6b95d0, 0x5aa0d95b, 0x4c9bd77a, 0x70bf1f27, 0x42864bc6, 0xb96e6554, 0x3a76f83c,
+    0xbaf7638b, 0x25e74f24, 0x63d80e90, 0xfbad7976, 0x3088b1ae, 0xf7194e4c, 0xfda1a7ad, 0xe9fe8a08,
+    0xb89f5b08, 0x9ea01bc1, 0xa22ae15e, 0x27500ed3, 0x33630bce, 0xaf22046e, 0x0cdec5bd, 0x204e19b5,
+    0x4d36751f, 0xbe7dc55e, 0xf57d59ee, 0x64d525af, 0xfb06a355, 0x60493409, 0x9ac29ff5, 0x682029db,
+    0x24166567, 0x48e9d669, 0xd04610dd, 0xfd89017d, 0x0e35f5a7, 0x4c1abb61, 0xa6cd6f4a, 0x80fe2ed4,
+    0x396b3dd1, 0xba96a1c2, 0xf0ff9ed6, 0xfa5d018f, 0x41d14327, 0xac680f67, 0x3e3770c6, 0x905aa95a,
+    0xb3957333, 0xc4ca5976, 0x5af20dd2, 0x122aa0cc, 0x80c06b7a, 0x8af1deb5, 0x9a5f00f4, 0x6709b29c,
+    0x541d67c3, 0xa62ec444, 0xeaf841e9, 0x104d69c2, 0x30551e09, 0xecac67a9, 0x6f02dc42, 0x14e8034b,
+    0x9acca44f, 0xbae09198, 0xa18e156d, 0x5e93e686, 0x6f77c560, 0xbc3625ef, 0x6d562e1e, 0xa031a0b5,
+    0x9417c63b, 0xe84e4a9b, 0x7ecc30c0, 0xbe4c7e11, 0x1416b2a8, 0x29895205, 0x27361cf8, 0xec60cd40,
+    0x6f3a31d0, 0xc1107190, 0x13c89b6e, 0x9c36e907, 0xe5daabe6, 0xba825cbd, 0xf590d6b8, 0x5b831dd1,
+    0x2ba8b89a, 0x7a99aa5d, 0x967d0415, 0x5d46b300, 0x38ed3e1d, 0x97d986cf, 0x17da1fac, 0x3572bb98,
+    0x29eef8d0, 0x060eee43, 0xf618858f, 0x15a89042, 0x2354e10b, 0x235927fa, 0x552d417c, 0x2cef5124,
+    0xcd291920, 0x7d7defa6, 0x7e21c1b1, 0xe7e1195d, 0xf3235171, 0x0d1e6e0b, 0x79ef5471, 0x476dd764,
+    0x12771610, 0x1ac0f8c1, 0x15783702, 0xd2873631, 0x5e1d0372, 0x8834da99, 0xf5201c37, 0x8b8f048d,
+    0xb616343c, 0x8fdbe802, 0x17e58879, 0xf71ec87a, 0x1f63267f, 0xb3874477, 0xb3c3c7a1, 0xbeb7167d,
+    0xde4e2261, 0xff0e7d10, 0x1d067342, 0x34c24108, 0x037a762d, 0x72b665f4, 0x63b0df39, 0xa9aff8be,
+    0x529e4e28, 0x2baa3acd, 0xecad2bc5, 0x6af6f0a2, 0x000e56b1, 0xac21277c, 0x051ae7e7, 0xdf15d027,
+    0xb3b9e60f, 0xe8d72f27, 0xebe0b0da, 0xb7bad1c0, 0xce417f57, 0x89c5baba, 0xf0436735, 0xb5ac89f2,
+    0x5b585ccd, 0x4394720f, 0xf34a39d5, 0x1e2e399a, 0x8028add5, 0x8abde884, 0x2e2d5536, 0x289ce737,
+    0x2510547d, 0x2bd50576, 0x4d1c95a0, 0xe7f76d84, 0x7973fb92, 0xdc2693f1, 0xf7cd2801, 0xd9a8c79f,
+    0x1dc9d00d, 0xd9331db0, 0x664c90b0, 0xd6986581, 0x1f0e6b0d, 0xe2529fdc, 0x869ccb82, 0xca42ea91,
+    0xf98e1d31, 0x5665eaa7, 0x3b3b31de, 0x29ba13a1, 0xbdcf39b0, 0xda1a04d9, 0x59665b03, 0x5dcff071,
+    0x7a2b8224, 0x5f37f9fb, 0x6b642af8, 0xe6757b1a, 0x70995b98, 0x917cc052, 0xec1ad93b, 0x4415e0de,
+    0x2a1374e9, 0x145b2608, 0x72b40ad7, 0xb693928f, 0xc517619f, 0xaebeaec1, 0x12233d03, 0x182c0bce,
+    0xe664cbb9, 0xe14b87bd, 0x885dc333, 0xa86dc663, 0xb0fcc16c, 0xaabcaf45, 0x3ab74f98, 0xd705f9cc,
+    0xd42ee421, 0x3dc8145b, 0xfa96c36b, 0x8694627f, 0x3b26f40a, 0xde3bc938, 0x3d036b3f, 0x27815165,
+    0x2d77e621, 0x439407e1, 0xc2383f76, 0xd04a4553, 0x45faa1b5, 0xcb495b97, 0x252306a3, 0xfee8e2fe,
+    0xc4153f1a, 0x278e56fc, 0x616bc4fe, 0x672140aa, 0xe7bbc607, 0x6b90b6ea, 0xe5b1b1a6, 0xe27564f4,
+    0xacc3f529, 0xbecad0f8, 0x59e402ef, 0x72f8c934, 0x52b3dd71, 0x36ac9868, 0x9a03ef77, 0xca14441e,
+    0x83802908, 0x46d0fb6f, 0x8efd8d1d, 0xdaa7b142, 0x7cd9cc55, 0x6bc5070a, 0x783bd50e, 0x8f8d5468,
+    0xd59f0814, 0xe2ab4b26, 0x6489427b, 0x8a1786a7, 0xbd003834, 0x85bc2956, 0xc0b6e3fb, 0x55794b6b,
+    0x340f699d, 0xc5eb6582, 0x14bae4a5, 0x6f9845c8, 0xcf4aae98, 0x73fd558c, 0xe44f3fb2, 0x39754290,
+    0xccd0b6c0, 0xfbc22c94, 0x3c5950ee, 0x133f5b5e, 0xd9cb1828, 0xd3332be3, 0xb47d7fcb, 0x4b501c91,
+    0x62478f97, 0x72a5f410, 0x9b91ae41, 0x30de2542, 0xa2a55167, 0xdb205a34, 0xc9a41129, 0x42aabdf9,
+    0x6ded09f9, 0xdca93452, 0x912d340c, 0xe284831e, 0xc38adc03, 0x79c65499, 0x5fa2a40b, 0xa4c57178,
+    0x51dd670e, 0xd15d1779, 0x46200b9f, 0xb70f1405, 0x7fba1e90, 0xc2e9d1ef, 0x8cc2d7fc, 0x166991e2,
+    0x0cfc6563, 0xc8cd820f, 0x312e7c76, 0x9165a9be, 0x922ecd9a, 0xaf62539d, 0x3e16b74b, 0xc63a24aa,
+    0x7844ea71, 0xce371cae, 0x8f2001a4, 0x5fa93abb, 0xea83d50c, 0x81c4cabe, 0x0156b2f3, 0xa46754df,
+    0x5fdbf21d, 0x628b6f80, 0x4190469c, 0x1d94a85f, 0xcc69d0b7, 0x94369a2a, 0x9c526626, 0x2bbe09f5,
+    0xda27f9c0, 0xa7184aba, 0xc1dbc358, 0xafe69e11, 0x117d66ff, 0xdec7a15d, 0x6b426ac2, 0xfaf8de42,
+    0xe3bd6a32, 0xb510b61c, 0xee0d8520, 0x45ef1a8c, 0x73445f1f, 0xb9e45f4d, 0xde889d6f, 0xa2147aba,
+    0xdab293df, 0xe7b04af8, 0x3bd694a5, 0x78d34f0c, 0xedb3bb31, 0x2f5ba858, 0x0427b948, 0xb3773bf6,
+    0x1f69c6c5, 0x9ae40411, 0x29df6a5b, 0x996c4121, 0x800a8d43, 0x1496e2b4, 0xa45e1297, 0x768e9cd9,
+    0xb64d1da2, 0x9a8799a2, 0xffca0645, 0x7216da5a, 0x36ee2f0c, 0x18ce9ae0, 0x29550159, 0x9bf607fb,
+    0x0a33a96f, 0x67e33c5d, 0xf2b0c858, 0x7de4a7aa, 0x3025f85a, 0xbbb3c226, 0x8014eeba, 0x754a523c,
+    0xc68c83b5, 0xf5b8686a, 0x497e7515, 0x9336260b, 0x08332805, 0x89a661ed, 0x8ba532cf, 0x6af358c9,
+    0xbfeed704, 0x047ce237, 0xf5a6baa8, 0x9b848912, 0xa985212c, 0x3c1c73de, 0x6a89a24b, 0xd9c7ce02,
+    0xb3544962, 0x5ebdc760, 0x75cbd3ad, 0x0d066242, 0x684c678d, 0xb4cdc8ec, 0xa3b2dda4, 0xa0e286d1,
+    0xb399f717, 0x70ba111e, 0x1f22480a, 0x132821bf, 0xb074db85, 0x98664a8c, 0xf27485b2, 0x9a7c66d8,
+    0x7f4e8ebd, 0x702567a0, 0xbe58db79, 0xaa422763, 0x52f2a356, 0xf542fe8b, 0x821e1450, 0x4692c54c,
+    0xa218c89f, 0x866379f2, 0x8e02f088, 0x453bfc3d, 0x3af8e675, 0xbff960cc, 0xb12443d4, 0x5c34c3f6,
+    0x362cf0b2, 0x8ba0577d, 0xf5c82aec, 0xba8c2d3b, 0x3457e2a2, 0x45f37490, 0xbc52be31, 0x5332dcc1,
+    0x881a0c27, 0xd9d6ae00, 0x7cea27de, 0xb58c63e2, 0x59200a5e, 0x842d8110, 0x94770940, 0x573eb629,
+    0x6745f380, 0xd4ae327b, 0x97b52799, 0xb3bd2ad2, 0xd6c75f21, 0x0648ff4f, 0xa84b8c62, 0x3319b39c,
+    0xdf42e9ca, 0x117172be, 0xba6dea6c, 0x6784ff5c, 0xcfc83fc4, 0xafa36819, 0xf444ba1e, 0x50e085ad,
+    0xd6d6fc78, 0x28e3db99, 0x49b735ae, 0xeb6c5a0a, 0xc8b40254, 0x91547fbb, 0x94ddb932, 0x8c881625,
+    0xc8cbeb4b, 0x6e3d5113, 0xdbf5f88f, 0x79223f0d, 0x4666efa0, 0xa8c10a70, 0x541f2cdb, 0x4862057b,
+    0x86f05355, 0x5ba38290, 0x74f3671c, 0xa1fda090, 0x6fe4f726, 0xcb21a5aa, 0x8676c85c, 0x1536e239,
+    0xb5263bd2, 0x4edc35ee, 0x8cd1434f, 0xe4631d75, 0x2ab339c7, 0x9449732c, 0x95659bd0, 0x06d5b02d,
+    0x7e7345c9, 0x919077fe, 0x59a646e0, 0x75bc6852, 0x88b0a916, 0xb5507ac6, 0x61a2cdf5, 0x610d0690,
+    0x3b112a2f, 0x9f84b34b, 0xd0e220f7, 0x171b1d14, 0x6e4fff32, 0xc25f34fd, 0xc2eec65f, 0x2ad28271,
+    0x4efe1815, 0x98437ae2, 0xfde11849, 0x39dae014, 0xd8cb5250, 0xfb092212, 0xa48a3f67, 0xa4b36447,
+    0x29561373, 0xa2763624, 0x7c36038c, 0x15bb36a1, 0xaf8b52ff, 0x2ef12984, 0x3a8f5171, 0x957e2ef5,
+    0xd830c2bb, 0x3c306f59, 0xc55e5189, 0xbaa8d36a, 0x8acbb86a, 0xa015dccd, 0x7d2de472, 0x000fc950,
+    0xc3194065, 0x9b4745f4, 0x4f1a42c4, 0x6050982b, 0x66bdd982, 0x0cb8c927, 0xc404352b, 0x2b12ca23,
+    0x5f3cedc9, 0x09ba4a4d, 0x36bf069a, 0xe4606325, 0x65e15b8c, 0xb8eb4c2d, 0x5fa1b25e, 0x3772f022,
+    0xf3241d32, 0x5f0ee9ad, 0xc754eaa2, 0xe6ca183a, 0xdcb7374c, 0x6badf310, 0x8e7f4d84, 0xd9250065,
+    0xa02cae9b, 0x161a4d52, 0xf93a72c0, 0x5fc971c7, 0xe317e225, 0x100e8cf7, 0x7e8c6699, 0x22d0f411,
+    0xfbccea69, 0x738742c8, 0x4c6cdb49, 0x88f24dec, 0x4183b010, 0x72c5218b, 0xa062f4a1, 0xce7cdd9b,
+    0x83df55d1, 0x74f4183f, 0xa16b3ec2, 0x8fe3249a, 0x4afbb263, 0x02b6e7d6, 0x6a14036f, 0x3456879b,
+    0x0317c2ae, 0x21a2a2fd, 0xed96511e, 0xc8b21289, 0x4ab2cbdb, 0xe5950cab, 0x5ec7cd3d, 0x260602a1,
+    0x6aaefff3, 0xea03b92d, 0x9f6f3225, 0xbf313042, 0x06ab56c5, 0x9645f88b, 0x7c5dc702, 0xcde37f5e,
+    0xa7579197, 0x1403cfc4, 0x554e31da, 0xcd27ab9a, 0xb6f9d943, 0x34d14fb9, 0x463783cc, 0x305a548c,
+    0x65049670, 0xdd69de4b, 0xbc886ed1, 0x151a4808, 0xfdff2d73, 0xe54e56dc, 0x61d53cba, 0xd0700823,
+    0x56658eac, 0x6b87494c, 0xdadd0d42, 0x2c42ca08, 0x37434efc, 0x5203d1b3, 0x5ff0a725, 0xf622289e,
+    0x4e7520e0, 0x1a60fdbb, 0x50f007ff, 0x6fcf8bfb, 0xd66ada19, 0xea986de5, 0x8b89d7d2, 0x46c14161,
+    0x295b1754, 0x19bcf903, 0xb2b99d02, 0xa8445a81, 0x2820b759, 0x32c18bd4, 0x34f3b339, 0xcf1f676d,
+    0xa7226912, 0x977bd8f8, 0xc55c20c3, 0x6ce2137c, 0x5146954f, 0x676efd32, 0x52b77437, 0xb97f973f,
+    0xcf27ae4a, 0xe20fb247, 0x86e988a9, 0x71ba4204, 0x79d7a1a3, 0x42ef884c, 0x407cb999, 0x05796cfe,
+    0x7944c98c, 0x6cb3734e, 0x4b490038, 0x6ab787e7, 0xb38c3cc6, 0x09d83dea, 0xc2b4b5ac, 0x809f06b5,
+    0x2c26bdc2, 0x62b4195c, 0x1a557cef, 0x28a9c90e, 0x58e4006f, 0xa5549610, 0x2ef97be7, 0x75f1cce1,
+    0x1903e6d9, 0x43c7fc8e, 0xdb399ebc, 0x7f7cd3f2, 0xc158f3e7, 0xd1916ec4, 0xbea742de, 0xa26af6c3,
+    0xee8deaf5, 0x15b473d7, 0x5edf654f, 0xea9c7c37, 0x11254273, 0x34ca904b, 0x797d1852, 0x8409cb1c,
+    0x7989400c, 0xed639776, 0x6589fb6e, 0x0e99c1a2, 0xb6129085, 0x92ed9edb, 0x0cdc04e9, 0x6592c19c,
+    0x6a71e1fe, 0xbfc86ccb, 0x25103e05, 0xa08c3ca7, 0x3f39121a, 0xd37720a1, 0x07ee54d1, 0x005bd060,
+    0x46c03370, 0x8905203e, 0x9d5826c9, 0xa1de988f, 0x33e6458b, 0x1a05f89e, 0x24e5819d, 0x61d76b57,
+    0x6d2c7a7e, 0xaacc2b7b, 0xebb4e859, 0xd576f655, 0xd513d7f0, 0x53a46864, 0x4149d07a, 0x61a27226,
+    0xb7caf359, 0xfe2668d1, 0x96fd0d2c, 0x69d0ce09, 0x11a79570, 0x78b995e1, 0x9f2610d5, 0x10779839,
+    0xa43b795f, 0xbde8e638, 0x4f37d6f4, 0x0970798f, 0xdc2c6614, 0xc8590f4b, 0x22abaa06, 0xff36a07f,
+    0x80e0bfcc, 0xe7462d02, 0x6657c239, 0x85239553, 0x62a98828, 0xe16a116e, 0x9e198806, 0x4a9205b2,
+    0xfd4c7546, 0x2903617b, 0xf9e43511, 0x33f68948, 0xe0cab491, 0x0128f819, 0x88e4cccf, 0x3019e9fe,
+    0x964d8811, 0x026178cf, 0x866ea51a, 0xa7e3139d, 0x55dc798e, 0xcc224609, 0x17b726a2, 0x447c6b7d,
+    0x82cf0414, 0x42d9c989, 0x4c04b9bb, 0x74803396, 0xf4c42271, 0xc2d614a4, 0x5fb5818e, 0x90045d6e,
+    0xb09ba0cc, 0xcb46aa3c, 0xa705bd80, 0xa8c2616b, 0x350526ee, 0xa3653265, 0x86e8ea22, 0xa0b06737,
+    0x1a846f05, 0x0030b150, 0x1317f072, 0xf433ad08, 0x6ef8cf59, 0x153e34dd, 0x25d9fe33, 0x36e3ddca,
+    0x8fd09608, 0xa9f3fd4e, 0x80904aef, 0xbf8ff454, 0x0a53e335, 0x71bfc494, 0xb84595e4, 0xbe6c48b1,
+    0x1c2c7c42, 0x0d88e767, 0xd9f4bf7c, 0x209215f1, 0xee6f6bf8, 0xc032f56f, 0x81311cfa, 0x30d913f3,
+    0x8c83f7c6, 0xb7aac981, 0x368c2714, 0xbdbc4715, 0xafe58929, 0x3d6c2ded, 0x98c2e6a5, 0x71640621,
+    0x3803ade3, 0x4649fd24, 0x5af74ef0, 0x84cd5fc1, 0xf857acca, 0xaaa19b49, 0x9d90ff23, 0xacef9976,
+    0x273dc536, 0xb9fb3cee, 0x4b81bdef, 0x09f2dc51, 0x12cc73f9, 0xc33b5f52, 0xe435bedb, 0x2c967321,
+    0xbe93abfe, 0x4c654128, 0x6f5b0bbd, 0xcce7f72b, 0x62174b2c, 0x1cb1a9e5, 0x80ba2adb, 0x225735d5,
+    0xd8644955, 0x0abea385, 0x3ae02970, 0x74c23a95, 0x625356dc, 0x58393534, 0x5c3a1487, 0x2f2ca55b,
+    0x20f9f60d, 0xcb2bffa4, 0xe879d7fa, 0x805e463f, 0x4350df58, 0x84ececea, 0x8df361af, 0x6c77eb9e,
+    0x03568f7b, 0xfb99367a, 0xd5c42e79, 0x542a83d8, 0xf839409e, 0x07a9751c, 0x0716a1d2, 0x438c6720,
+    0x17eff80d, 0xceded955, 0x217dd203, 0x75f516d8, 0x13615032, 0x8efea7b2, 0xab85a623, 0x08c46435,
+    0x00000000 }, /* 10**00000000000000000465176783549188409951567237048322901986330470839883558580153\
+                         72747560914439257467092876227245680868195888801382801035387746214504231337984 */
+  { 0x00000000,
+    0x40000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748,
+    0xdb564041, 0x73c2ce83, 0x3287ef4e, 0xea8f9d1f, 0x125f55b1, 0xd685eb0a, 0x1af72402, 0xb2e52a66,
+    0x00000000,
+    0xfafc2448, 0x9eb9e23e, 0x98312989, 0x12036942, 0xf1cc5f21, 0x4d89a16a, 0x8ea1ae32, 0x65f922bb,
+    0x1101ead4, 0xf59e8229, 0xc3075798, 0xbe184e58, 0xbfeadf68, 0x7717bddd, 0xe5772673, 0x5629f4c6,
+    0x0d6c60e8, 0xcde3ecd0, 0xc596a35f, 0xabc48c83, 0xdaf7426f, 0x11475772, 0xf0d55f04, 0x4b33d42c,
+    0x21c13a3f, 0x0ec7c423, 0xb703d864, 0x737ef9ed, 0x1c8a67fe, 0xadfc7b71, 0x08707979, 0x9c1a4257,
+    0x427f2c84, 0xba89070f, 0x05896563, 0xd89ad26f, 0x0e57d473, 0x433c3223, 0x20e41fac, 0x8ed55612,
+    0x7eacbdfc, 0xb3825a48, 0x74d8aaf1, 0x35210228, 0xc00e0a5a, 0x24ffc725, 0xa3bdd276, 0xd668fb5c,
+    0xa8845133, 0x9ba8fe02, 0x1d4faf7f, 0x6ec926b8, 0x860f148c, 0xba2505bf, 0x8e4f96b8, 0x57e0a5d1,
+    0x9e746514, 0x27747094, 0xf1f41caa, 0x3c6d98c2, 0x777ac67f, 0x87af9704, 0x8de64c45, 0xc4472313,
+    0xcfdf9bb0, 0x780b58bf, 0xe9e63ad2, 0xed1d0339, 0x6eb37a58, 0xabb15a26, 0x6f926836, 0x6d10c361,
+    0x6a4e595b, 0x38d20cfb, 0x23015b2b, 0x1fc39675, 0x196eb2fc, 0xe3ff2274, 0xfdf58a78, 0x496c7d45,
+    0x39337d7a, 0xccc28303, 0x154557dd, 0x30277b2f, 0xbc621dcb, 0x58de2a61, 0xad128cce, 0xe90fe252,
+    0x5c508adb, 0xafecf25f, 0xa4688630, 0x039980b1, 0xecb1a1ce, 0x879c17da, 0x6ec98007, 0x4c0c5551,
+    0x737e1ff6, 0xa9c789c4, 0x77b5a826, 0xf0c56b61, 0x5d9a3224, 0x13d7e28d, 0x3e888949, 0x9efe700b,
+    0xd643e540, 0x45929160, 0x0619f2a6, 0xc9bcc612, 0x53bcb278, 0xb847f4c1, 0x93143e0a, 0x0efcdae0,
+    0xffc28af8, 0x0b841d6d, 0xc953c4f0, 0x74c5698b, 0xf8524a7d, 0xf823ed70, 0xa20aa448, 0x6e855c60,
+    0xc8cdc686, 0x9c1eafdc, 0xe7fe5126, 0x0273aad3, 0x3c0ba38d, 0x1beb16b2, 0xc6291e80, 0x8d9bd0d1,
+    0xa37cfbe5, 0x9845f707, 0x5fb18d5d, 0xb3c53b2e, 0xb9b1a015, 0xf7882e14, 0xb3bef8d7, 0xe7ed66b8,
+    0x1528ecf6, 0x0c3bf770, 0x9322da33, 0x6e8685a7, 0xde9557b0, 0xdfc10a3a, 0x46cb96cd, 0x84398d4f,
+    0xf452f4d4, 0x7ca8a8c9, 0xcbdd0417, 0x86382a16, 0x7707f0f3, 0xfea4ecbc, 0xe5595c45, 0x7be2e269,
+    0xc78c7cd5, 0x02867288, 0x27a361f9, 0x34e3d063, 0x1d6bfa8f, 0x0d7fc069, 0xa36eff97, 0x1dbd0a52,
+    0xfbd9711e, 0x50e507b1, 0x4801d578, 0x9efd09c9, 0xb2590c30, 0x75057a16, 0x09e2edb6, 0xf23c9a76,
+    0x6551349d, 0x8ed969ec, 0xdf61b792, 0xf110b9e8, 0x6e4d6125, 0x17be9200, 0xd97eced1, 0x61090c29,
+    0x61613737, 0xcf155b42, 0xdf6b884f, 0x6bb45971, 0x56106005, 0xc7d1b9a6, 0xe63e20bb, 0x7475b486,
+    0x440a43ce, 0x09ac4e04, 0xdbde9193, 0x6ec75ffb, 0x472e8369, 0x646964c0, 0x4c8f0111, 0x96633f41,
+    0x938843bd, 0x4dc91553, 0x0468b955, 0x2ae9f29f, 0xe0268d07, 0x84afb81b, 0x9b1c43b4, 0x0e3b1682,
+    0x4e83d490, 0xbe8d0f19, 0x8028d027, 0xd4e42eeb, 0xda873cc9, 0x702f742d, 0x64af3e31, 0xedcdcb01,
+    0x2a9e962d, 0x15985e59, 0xfec3714f, 0xf88fbcca, 0x3c25909c, 0xc7610025, 0x200d45fd, 0xf3fe668f,
+    0x92101e9b, 0x1eeab9e6, 0x18f1dffa, 0x9f7fded9, 0x571a7dbd, 0x33251199, 0x35d711b8, 0x5d24c748,
+    0xd96c8822, 0x3c33cc49, 0xd1204668, 0xb5003282, 0x9558e38b, 0x2836593a, 0xa4a096ef, 0x7b89cca0,
+    0x01bfe76e, 0x91a6a600, 0x654f8cbd, 0xf180f22a, 0xfdad7a01, 0xd09aa9a2, 0x9acddbc2, 0x070b8a48,
+    0xb162e351, 0xd5ac6673, 0xef84b964, 0x391327dc, 0xc20f76a4, 0xe202ebad, 0xbab8b3aa, 0x502adb5e,
+    0x56e9e7b0, 0xb4e7bcc5, 0xe7a68e1e, 0xd956f8dd, 0x4f4bbf1d, 0x9436b780, 0x8434b2a6, 0x36191886,
+    0xa7a8bc2e, 0x43239b95, 0x4c26689c, 0x28497e67, 0x50bbe8ee, 0xc30d491b, 0xf5bfae1a, 0x44b1c7c9,
+    0x876d7eeb, 0x1cc4791f, 0x79218af9, 0x3ada6273, 0xc82d40a7, 0xc4ea4364, 0x9ec390a1, 0xd1e06114,
+    0x53a72c04, 0x5836c679, 0x7722aee5, 0x827397af, 0x1257da78, 0x724da08b, 0xd3eb6d93, 0xc5a967cc,
+    0x472476b5, 0x06e48964, 0xd5b2172e, 0xe3f6ac75, 0x665f98a2, 0x81eefc33, 0x4e9a1891, 0x90e9a759,
+    0xf0819a81, 0x428c1b7b, 0x5b7ddc28, 0x183a68dc, 0x9ade7867, 0x5070c12b, 0x64c86498, 0x458d5f06,
+    0x3b0bfe0a, 0x37d8fc98, 0xe346a38a, 0xc5a243e6, 0xe12b231b, 0xe59c00f9, 0xbe90b8cd, 0x4817e61f,
+    0xa44fa003, 0xc32b4d76, 0xc755a8bc, 0xd8d36da3, 0x56d25e35, 0xbe66bef2, 0x9308d863, 0x57cd262f,
+    0xed03eb5f, 0x5dc41a0d, 0xfa23c6e8, 0x414a7cf1, 0xd0df03b1, 0xf90e72fc, 0x52c160ab, 0x245f124c,
+    0xe9c7e4a8, 0xc3b4d6c0, 0xc7b809c5, 0x472e6492, 0x37124129, 0xa01373cf, 0x1a92b687, 0x89e6a527,
+    0xd151f0a6, 0x0a0cdd5b, 0x11ce163a, 0xa6582806, 0x59ae8c45, 0x2b0779dc, 0xa935b37f, 0x6839983d,
+    0x94899a68, 0xa1ae4435, 0x28d613a7, 0x6be11d60, 0xe9fbd494, 0xecb01ad2, 0x0247d80b, 0x90dd66e1,
+    0xb27da959, 0xf66957b4, 0x612873f3, 0x267cf9e5, 0x65a75b14, 0x5e3a4ae5, 0x488e5024, 0x079a4abc,
+    0x8fa7a04d, 0xbfe394a1, 0x07f40dde, 0xb1abcac2, 0xd588ad6b, 0x4bd96691, 0x189fcee8, 0xe7753d24,
+    0xd0931620, 0x7b424c25, 0x6e5d8cde, 0x731994f7, 0x4bdf30fc, 0xcdca9f7d, 0xb1c94c75, 0xe8249b60,
+    0x0a9d6029, 0xb98bc575, 0xd1ac28a1, 0x9d8cdae5, 0x0b422449, 0x577cd911, 0x65e2da19, 0xc6a523ce,
+    0xde4dfd4b, 0x9eb71238, 0xb1ca5592, 0x387c9506, 0x28673631, 0x86217476, 0x8fa5aa64, 0xcf4f1e08,
+    0x1757851f, 0xfdafd82b, 0x326fbb82, 0x39269c3a, 0x2cf5d2ae, 0xfaa922ce, 0xdb65b3a4, 0x1d9724bd,
+    0x3c675825, 0xa62cffd6, 0x9b05b3cb, 0xe64677bd, 0xedc607aa, 0x72cf9d48, 0x0b6a1983, 0x8e8ca108,
+    0x48ab2d6d, 0xe3ff5425, 0x2a23c389, 0x59b85a47, 0x7b6eb4f3, 0xa2bb8559, 0x559f34d8, 0xc4316934,
+    0xbd0199a7, 0xbb383692, 0x683ff235, 0x63f41f7c, 0x81621cd2, 0xc2792696, 0x45106e51, 0x30e0abd2,
+    0x59eca737, 0x67b75750, 0x323e749b, 0x0b59613c, 0xef5088c4, 0x43006606, 0x035aba15, 0x64a88576,
+    0x55f7943f, 0x3e1308f6, 0x5b6aa81a, 0x7e557989, 0x1f0e40d5, 0x9f870ba4, 0x0b5c85c6, 0x8978d3ad,
+    0x5134a315, 0x339e8a2d, 0x8822b264, 0xf4e3129e, 0xe9ac15dc, 0xaca1f9d7, 0x5fe42238, 0x3876fcec,
+    0xebbf1d25, 0x2831b347, 0x4acfa376, 0x1bf84f02, 0xce1c9d59, 0x79fcc99f, 0x4656e66f, 0x23dcb9ac,
+    0x0a2d33f5, 0x85b536d3, 0x003b59fc, 0xb3a8c9ec, 0x192597b0, 0x13e8864f, 0x1bea66b8, 0x0d15cb0e,
+    0xcf1d14e9, 0x7c4481cb, 0x05f153b4, 0x510010ef, 0xdda40c2e, 0xb56427c0, 0xea54ba1c, 0xaa476667,
+    0x95c6fd0c, 0x5a638b8d, 0xc9653ac4, 0x739957b2, 0x17127477, 0x8da41829, 0x71b8920c, 0x44d8b7bf,
+    0x1da795e0, 0xcce2eba8, 0x441ee311, 0x7248c77d, 0x7eca1cfa, 0x31b58a98, 0xff43b705, 0xd60d6b95,
+    0xe4c1ebe3, 0xb531d95d, 0x6206955c, 0x8e5ef67f, 0x3dc2d932, 0x49f2539e, 0xd026008e, 0x04f701d1,
+    0xb71f3f2a, 0xb50fed3f, 0xb6b89107, 0x8110ba0a, 0x1aafb887, 0x8d37f638, 0x4e500f3c, 0xe48e6528,
+    0x53fe895a, 0xcc4769c7, 0xfd312074, 0x089df179, 0x8aa90e24, 0x3a03015a, 0xeef3303b, 0xd7622a7c,
+    0x38dda251, 0xf430403a, 0xbdda2302, 0xb21b2d3d, 0xb7cf5786, 0x5523a5d5, 0xdb11ad9e, 0xf8eeb23c,
+    0x5267af41, 0x41eab45f, 0x801d2592, 0x736909cb, 0x02e2119e, 0x307f3340, 0xe1d663ce, 0x1b82569d,
+    0x4e571211, 0xae11cd04, 0x3f0e48b5, 0xa840896f, 0x4cd4ccc9, 0x348e483a, 0x3e71dc91, 0x9adcc2c1,
+    0x44444fad, 0x9e6c60e0, 0xbe598d82, 0x5378fb12, 0x4602b272, 0x847209e3, 0x1b89eaa5, 0x1f877cc4,
+    0x65b3e8aa, 0x2f4ef6c7, 0xd883868e, 0xf1ff74ca, 0x618c7120, 0xe7b2a691, 0xd26d25bd, 0xec2237e5,
+    0xafe98c3a, 0x6fb4112e, 0x352fb3a2, 0xaf293ee1, 0x4ffba10c, 0xb14adf30, 0x5ecca268, 0x24c0e25b,
+    0xba44aff1, 0xc7fd1975, 0x4534f182, 0x01ba56bb, 0xfc1374c9, 0xc723a33f, 0xe350ca4f, 0x8d473517,
+    0x8a9c2abf, 0x7e61f60f, 0xdfce4bf0, 0x3baf711e, 0xe71cc3bf, 0xe074b83d, 0x935ccb57, 0xde50fdc9,
+    0xe9db4a39, 0x6bcf66d6, 0x3e6e432c, 0xc9f4e70c, 0xea1fc8c0, 0xddc6336f, 0xa3f468a2, 0x7cd3a3e9,
+    0xcde23e9e, 0xae67f4ad, 0xcae2c9e0, 0x352b7ef8, 0xae7db372, 0xc2b76d73, 0x56acc038, 0x1599054a,
+    0xd0dd479d, 0xe9187978, 0xa81708ea, 0x0f080110, 0x14e73508, 0x4ffd825f, 0xb2827fd8, 0x7a975aee,
+    0x17100fba, 0x6099c66a, 0x83fcceef, 0x2b82cae8, 0xfd797b22, 0x67d33919, 0x8cf8350a, 0xb9e93925,
+    0xdba50247, 0xc0ae68a3, 0x8812d232, 0x8561000d, 0xa61c82e1, 0x748b68a5, 0xc33de75f, 0xcdaa4153,
+    0xe1882733, 0x922b9629, 0xd51377bc, 0x228442be, 0xee55f020, 0x814c7c86, 0xa60e9ce3, 0x4c5bafeb,
+    0x1d26e05d, 0x53a812c8, 0x151bb58f, 0xf2e28a3c, 0x3e7c7012, 0x47e97a62, 0xdc2fee72, 0xaca97e4d,
+    0xa100a4c1, 0xf802e946, 0x36f60df5, 0xa28e4f4f, 0x39e6ced8, 0x96c68f80, 0xd381a723, 0x9a9b1598,
+    0xef1b7f17, 0x3d54b1fa, 0x8b04ce73, 0x8457ae50, 0x4aee87d0, 0xe7e54109, 0xb88ae369, 0x1390ffef,
+    0xd2dc8082, 0xe33862e2, 0xb6b993a1, 0xb2a3089d, 0x356c0ae1, 0x10165fc3, 0xc104ce20, 0x68989ee3,
+    0x38bc7961, 0x94009693, 0x8428ac96, 0xdf88c499, 0x3366f337, 0x7b206bab, 0x3561731b, 0x8af886e4,
+    0xd4771a13, 0x6aa61ba5, 0x73e84ea1, 0x871d4eb0, 0x7b9c216e, 0x5c3bd463, 0x2c424bc2, 0x9628381d,
+    0xdc67166c, 0x098ab8cf, 0xe54d6f8e, 0x90ef4427, 0x80092b4e, 0xc832e4b1, 0x93cc8c43, 0x3f61c348,
+    0x496a11d7, 0x281dcac6, 0xf313ee52, 0xef4201ac, 0xb46966ed, 0xaae54a51, 0x498db0b3, 0x10b97b66,
+    0x4198d73b, 0x57722ba3, 0x6c47cb30, 0xa5b28c65, 0x417996df, 0x3f4d43ba, 0x1753bb22, 0x59b15107,
+    0x2c677a3f, 0x6b107ff6, 0x68d21f30, 0x3ef628ac, 0x0943aed4, 0x14dfa483, 0x4d3e6600, 0x50c45ff8,
+    0x6ac14997, 0x61e52df3, 0x7f08b580, 0xe88b8d73, 0xf68fed27, 0xcbe689a9, 0x079bfe83, 0x64a8f903,
+    0xc7fd2a31, 0x1401ae81, 0x20768550, 0xf627d9ea, 0xa1945a5c, 0xbc06ab02, 0xf6c858fd, 0xff550927,
+    0xd10f9fa1, 0x446e04c0, 0xbc454cf8, 0x3162ef3b, 0xd22c3172, 0x434c412d, 0x8b1ce55c, 0x7be7df7c,
+    0xa4013848, 0xe6b34208, 0xa25cc2b3, 0x7e0d3329, 0x9c473b73, 0xd0849117, 0x7f5eb543, 0x5faed9dc,
+    0x626b6cb4, 0x7fc50380, 0x2b0254a3, 0xb5f66900, 0xa7fe4a6e, 0xe8e3ac48, 0x8402d77c, 0xfa7a0fe3,
+    0x98a1c07b, 0xaf2eef9a, 0xa3d80d20, 0x4e684890, 0x8ce11a81, 0x610cfea2, 0x607f2dff, 0xa8bb5532,
+    0xab6a0dbd, 0xd56a388b, 0x962d511f, 0x7507db6f, 0x0018d32f, 0x82861750, 0xc44d4c5b, 0x772e69c4,
+    0xb52a0177, 0x2f1092c8, 0x2950ebf7, 0xf1dfb389, 0xa5691657, 0x798726b0, 0x508b41fd, 0x50f3405c,
+    0xeda06e68, 0x61fbbd2e, 0xac989491, 0x4221161a, 0x0de64856, 0x4a1787d6, 0x3d001357, 0x2cb6e723,
+    0xe1dcbd90, 0xb296cdbc, 0x01c89660, 0x6f43dbf9, 0x8cde9842, 0x7430898f, 0x696b4de3, 0x7d8027d5,
+    0x217c4339, 0xac9f97a9, 0x61b98a7b, 0x419d53c4, 0xcd11a295, 0xf77943c8, 0x83cb10b3, 0xaecf7337,
+    0xa12cff55, 0x0e0aa9fd, 0x732908d5, 0xe7067422, 0x9416f565, 0x885b0112, 0xd4fd9936, 0xf85d4647,
+    0x5e82e2e7, 0x235a993c, 0x93f80760, 0x6454d833, 0x2982232e, 0x6b4e13a1, 0xa7dfd52e, 0xf3cff091,
+    0xd646278c, 0xc2529310, 0x5b4afdcd, 0xf1aefcbe, 0x8f643014, 0x99eddd2e, 0x8e15a62f, 0xbfece08b,
+    0xe067052d, 0x7b1c4dd1, 0xd260cd0e, 0x2987b700, 0xe5dc96da, 0x087e9363, 0xe262be07, 0x0acd6887,
+    0xcd6b0e03, 0xd56d37cb, 0xade57c27, 0xe5eda819, 0x1970fde3, 0xbfc61e23, 0x94d8cfb3, 0xaab01675,
+    0xdd769cf9, 0xbd7787fd, 0xbce09b7e, 0xf8a3cf80, 0x5c0e9d87, 0x5241174a, 0xf682e315, 0x6d627d9c,
+    0xbfbe5764, 0x99cc666a, 0x683886ee, 0x9f8a1739, 0xdeafb847, 0x30deffc4, 0xd68e260b, 0xd70f02d2,
+    0xf34c18ab, 0x16da2523, 0x7f3e84fe, 0x6c3bc2b7, 0x81b6d86c, 0x701364fb, 0x74884493, 0x9daed122,
+    0x0d7ebd4b, 0x11d49e55, 0xa6788432, 0x0fb9c82e, 0x5e1ec013, 0x3b5af359, 0x29df1219, 0xa9eb4bb7,
+    0x71f7432a, 0x06a0efc1, 0xd97cdd5d, 0xb86f3587, 0xd7846886, 0xa16ea5b0, 0x26ef71cf, 0xcab3f984,
+    0x63df6252, 0x2173e0c5, 0xc0b344ac, 0x53bed981, 0x0e8438f9, 0x79c5d711, 0x2323d9bb, 0x1d05940b,
+    0x09dc26ef, 0xf5e343ae, 0xbc43cf66, 0x6cd758d5, 0x39c821a6, 0x29ebd3f4, 0x96664c67, 0xa7b3390c,
+    0x55f46633, 0xd370fd51, 0x96dbaf1c, 0xc69173cf, 0x02a45316, 0x4c2eaa66, 0xe64a3fcc, 0x448f7b6e,
+    0x2e3d7bb0, 0xc987c4d7, 0x685d9042, 0x3bea542d, 0x9fbb41e8, 0x9338804e, 0xdaea5834, 0x6354bd6d,
+    0x0237ce52, 0xd578d532, 0xe1283a78, 0x50570c6e, 0xb325433f, 0x5288923d, 0x6fd2f4f0, 0x840f6457,
+    0x7be30522, 0x3d94a13a, 0x6f1093c1, 0xc9ddb08a, 0x2350822c, 0xe0436442, 0xc67e08da, 0x5a7cec69,
+    0xa4626779, 0x50896a59, 0x260eda39, 0x946898c7, 0xfca8d6e8, 0x7156f5b5, 0x136366f9, 0x426f0d56,
+    0x8f324693, 0x60da2b16, 0x72ae0eb7, 0xbefc8ca7, 0x9dd73938, 0x2a69dc13, 0xd3b078bb, 0x71bb63ca,
+    0x601650d3, 0xc54813d5, 0x5c49acf3, 0x04dac717, 0xacc499c9, 0xd9dc987c, 0x71e8c4e4, 0xa8fc4428,
+    0xe075c8a2, 0x4dc8b013, 0xd33410cc, 0x3e0c724d, 0xce9d0d20, 0x1c284d51, 0x6246d0de, 0x3050aa35,
+    0x264aa49c, 0x0c951e46, 0xc4bc440a, 0x389ec476, 0x1e781e0e, 0x730611de, 0x3e3b0ab2, 0x13f83c71,
+    0xfe7ad225, 0xc5e62d72, 0x3fd9c189, 0x884c3904, 0x989cd9a7, 0x34089ce7, 0xa49eb332, 0x34722870,
+    0x75288c7d, 0xeb3f64b1, 0xaa86985e, 0x6adbddcb, 0x293fd6f4, 0xdb74c9a6, 0x220bb3ca, 0x734df36a,
+    0x31778741, 0xfe69d1ce, 0xce851056, 0x88bb4075, 0x8aabbce6, 0x5d5dfd35, 0x0e1d985a, 0xa8473862,
+    0xd4b29512, 0x26852267, 0xb33733d5, 0xfb2ad8d3, 0x5f54d927, 0xa85f6097, 0xd10219d5, 0xf5d00be4,
+    0x8618861c, 0x37da6994, 0x1203e29d, 0x36d2daf3, 0x4c97cb0a, 0x02be40a7, 0xdcce89bc, 0xd7541950,
+    0x20f0d729, 0xe5422eaf, 0x2ea1a85f, 0x77773cda, 0x008d694a, 0xeee7e50f, 0x887443f9, 0xaca751a4,
+    0x4c62a786, 0x31d3755d, 0x59f35277, 0x2bd1b6f8, 0x363304d1, 0xe90ba984, 0x7bd2bffa, 0x1faf0e2e,
+    0x00000000 }, /* 10**00000000000000000232588391774594204975783618524161450993165235419941779290076\
+                         86373780457219628733546438113622840434097944400691400517693873107252115668992 */
+  { 0x00000000,
+    0x40000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4,
+    0x6dab2020, 0xb9e16741, 0x9943f7a7, 0x7547ce8f, 0x892faad8, 0xeb42f585, 0x0d7b9201, 0x59729532,
+    0x00000000,
+    0xfd7ae554, 0x9c26bd36, 0xb0825daa, 0xad88a7a6, 0xb8365506, 0x35d786bc, 0x932fb962, 0x2b82dd6c,
+    0xb00f874c, 0xa86631a4, 0x45ea749d, 0x19e61559, 0x6c37a058, 0x848b7459, 0x8640dbc9, 0x0ca3156e,
+    0x6528a607, 0x0333f37a, 0xd008446e, 0xf038fcc9, 0xd0e1ef68, 0xcd7571ba, 0xdc3309c1, 0xd6dfad12,
+    0x5a79304c, 0xa1b21886, 0xe72d1130, 0x4755b2da, 0x0a1a8e4f, 0x2a3836dd, 0x0d842dc1, 0xf68dcaea,
+    0x9152bbde, 0x6e9309ef, 0x27b49292, 0xd4a4a14f, 0x7f29a607, 0x2e519609, 0xc9515bac, 0x5a3e474f,
+    0x4315f5d7, 0xb40112c3, 0x5cc9b439, 0xe16271f5, 0x0b208b64, 0xe9fe0f3c, 0x15aa2cf3, 0x7c320526,
+    0x573fa513, 0x795efa78, 0xc4a5af2d, 0xdf776685, 0x532a09f0, 0x10f60e50, 0xdaa25405, 0x9f8686c7,
+    0xe6795922, 0x9f0e01f4, 0xabeceb07, 0x35302f1c, 0xdc90f690, 0x6decbe9f, 0x746af947, 0x0f1b285c,
+    0xe7191ddb, 0x20434a28, 0xe0fc17f0, 0x4014f6af, 0xbb5c0009, 0x809ebc81, 0x2c97ae98, 0x4d2264ae,
+    0x7ee295a5, 0x8fd34eb6, 0x8c5b8100, 0x29084e58, 0x725eb18d, 0x6dd2119d, 0x1e163f0d, 0x022289d6,
+    0xcf26db1d, 0x7046f5cf, 0x37840b06, 0xa4b31dae, 0xb19736f1, 0xf1ca4b8f, 0x5ca78d04, 0xa1535cdf,
+    0xac9d1635, 0xfa6cfab7, 0xabf00577, 0x8225f4ca, 0x14ccc416, 0xf75b61b2, 0x2858b7b6, 0x4dce7f19,
+    0xc543c8ca, 0x3497d70e, 0x43f81ae2, 0x853e10b1, 0xa6ad4c63, 0x26c949c5, 0x692632dc, 0xd0d1545c,
+    0xefc70283, 0xdc4c5215, 0xfcfb46e4, 0x93d8ad58, 0xa605a8eb, 0x9463a9e9, 0x47e4c384, 0x00689985,
+    0x0385fa9f, 0x32b29c80, 0xdfc00aad, 0x1e665db1, 0x8f111d79, 0xefaf6713, 0x9da89c61, 0xb1f0e3e1,
+    0x664199c8, 0xb83e327f, 0x35f3ff2d, 0x9364b8fe, 0xb4749cc9, 0x68ed9f40, 0x666e9a85, 0x5ab27030,
+    0x80e45787, 0xb09246ab, 0x145dcb81, 0x1075c210, 0x69a96dce, 0x5e4afa55, 0xcee7e260, 0xfb224a32,
+    0x47469e85, 0x111e2f6f, 0x38226bf8, 0x52451252, 0xb7fd5aff, 0xb20d24e4, 0xd06e1ce2, 0xdf191f95,
+    0x2cce001e, 0x699d3ddb, 0x79ac92d3, 0xc39bbaf5, 0x08e5e2f1, 0xd0a20213, 0xf56938a0, 0x4bdff6ce,
+    0xabc804f9, 0x8c1f0e13, 0x3055cb98, 0x8f67d174, 0x54ecfdeb, 0x2729dcd3, 0xba1b3f75, 0x5548e32a,
+    0x74cce0fa, 0xd3672f2f, 0x0fd1ed87, 0x5f925faa, 0x9a5076d5, 0x314513ee, 0x0a60e302, 0x8fb8d639,
+    0x8af834bf, 0x889191e2, 0x4317a0fa, 0x4b22dbff, 0x2b9705b4, 0xce92f1d2, 0x9002c4f7, 0x868ea16b,
+    0x6314b0be, 0xebcc3e07, 0xf1062d5e, 0x6bfa23a5, 0x1ebef5f1, 0xc96b3e78, 0x420a715f, 0x46bda68f,
+    0x2d7a41f5, 0x78101f1a, 0x7472887c, 0xbfa13240, 0x4929761b, 0xafa4371c, 0x04c7998e, 0xf25f82b0,
+    0xda26db0f, 0x5ef37d84, 0x3528ebd4, 0x68b78cc6, 0xfe5550d2, 0x03543c92, 0x9ae64a62, 0x01a202c4,
+    0x0208d9d2, 0xe294b018, 0x2018d221, 0xb5ccb1f7, 0xf92c6392, 0x3be8d1c4, 0x826fd608, 0xac9165bb,
+    0x7896ec62, 0x95c3ac55, 0x757f4841, 0x5db36283, 0xf39448f1, 0xff6bf1ea, 0xf2bbcc55, 0xe4552243,
+    0x79f04482, 0x97769aaf, 0xfccd59ed, 0xfbd1286b, 0x120cbb57, 0x1fe22686, 0x346b2eb7, 0x0ecb22f3,
+    0x326b7e9b, 0x0e74d1a8, 0x01835b99, 0x92efd022, 0xbf38d090, 0xbcefe147, 0x2a3e67e8, 0x28fd8d84,
+    0xba4ccf3e, 0x5ff32376, 0xbbc23d36, 0x6db0dcd1, 0xfa2712b2, 0xef86bb5c, 0xeb7a54e2, 0x9e46f6f8,
+    0xf8712620, 0xde8927d2, 0xe5862c2b, 0x441e0ce8, 0x027321de, 0xb260b2e6, 0x354de242, 0x6b99df67,
+    0x193444b0, 0x30e6e172, 0x442de8a2, 0x2bc1aee5, 0x6ce68fb8, 0x95a3b770, 0xfa36157a, 0x562b3fdd,
+    0x5fb12382, 0xa62e5de2, 0xebaacc4b, 0xc867c7ee, 0x7f3f17de, 0x5837945a, 0xdfcc9127, 0x9db9c415,
+    0x77dbf352, 0xcfea9627, 0x1f6c2626, 0x8a826c87, 0x897c6f78, 0x355f56be, 0x1bb229e2, 0x1204c85d,
+    0x5009bab0, 0x6a47be97, 0x4f4b2598, 0xd6c59ed7, 0x637f023f, 0xa006e443, 0x1da6c161, 0xc072e9a1,
+    0x845a05e9, 0xcf200e40, 0x4149378a, 0xaeb91bfe, 0x1c892d11, 0xe2c3a848, 0xd6789ee9, 0x981fabc3,
+    0xda1ddb87, 0x9ef1b642, 0x90c622aa, 0x98089964, 0xdc2aef58, 0xe8f6db24, 0x4055aedf, 0x6f5bbc29,
+    0xe4d6b76a, 0x6cc07912, 0x67c62dc2, 0xa3c2f85b, 0x73bfaceb, 0x7f387bf6, 0x3302ae4d, 0x30779c62,
+    0x68fe8886, 0x95ec4c00, 0x1ef88010, 0x1eee621e, 0xa6f962fc, 0xa2fc622f, 0xa510501e, 0x13cf59c6,
+    0x8fb99e34, 0xf4b76008, 0x101bc7ee, 0xd583791c, 0xf7755cad, 0x9382f7e5, 0x4fa12230, 0x8ad535ef,
+    0x9241adc3, 0x02d3ec00, 0xe7ed40a6, 0xc1db7b7d, 0x9c9fa85a, 0xf0596825, 0x6e9f4b47, 0xbbe3f2ac,
+    0x9ec8a203, 0x82f7c903, 0xd1c9121d, 0x590cc193, 0x393bd9f4, 0x19229151, 0xa1b4fb1e, 0x07e661de,
+    0xcccab53a, 0x7a533f1e, 0x69c60476, 0x4e874503, 0x9c4d538f, 0xe9830f0b, 0x61a7820d, 0x7c74b9c4,
+    0xc80ebf55, 0x0bf4ba1d, 0xba8fbf1a, 0xb1921366, 0x376747e0, 0xad639699, 0x29d93fcb, 0xbe467f03,
+    0xc0321456, 0x2b606efc, 0x8f0080d4, 0xa27c20d7, 0x1953ff6b, 0xe85da3b0, 0x270c7102, 0xc8d6cb67,
+    0x48a75aca, 0x712a8587, 0x69905a4e, 0xea9ca741, 0xce5c6c9c, 0x9d40161d, 0x7e357b46, 0x88ef090d,
+    0x3a035263, 0xc0fc7e87, 0x55115d27, 0xc56598bc, 0x0c826b7f, 0x0bcd90a8, 0x2129d574, 0x511a798a,
+    0x095671cf, 0x8522b3f2, 0x9bef9086, 0xec1ced56, 0x96fdef12, 0x761f3241, 0xe31a5359, 0x50ec7984,
+    0x5c0dea1a, 0xc8efe333, 0xbd7a9ded, 0xdedc4eb7, 0x4b8bc159, 0x8e853f47, 0xe62ce440, 0x95d508af,
+    0x33c67562, 0x66fb6355, 0x69bb8f97, 0xb21c2f57, 0xc91cd042, 0x060e5a73, 0x77271a7d, 0x2a0565e3,
+    0x30876796, 0x1ab69088, 0xdbd32e6f, 0x3bcd04e2, 0x55f3e9da, 0x0bccad1f, 0xc2d0975b, 0x02238cc6,
+    0x68e60f18, 0x7db1f519, 0x544d598d, 0x87c75299, 0x3a1e3767, 0x32f86ef5, 0x1fce87af, 0x4ec11cf7,
+    0xfb4ea101, 0x52f751e4, 0x8cb927e2, 0xd35396ba, 0xec394c61, 0x67ef7e13, 0xaa2d82e3, 0x1a74adfa,
+    0x96d386ea, 0x3379af40, 0x6837396f, 0x9173e9a5, 0x6225d66f, 0x97370a69, 0x2e284dd5, 0x747c5c95,
+    0x3a689c27, 0x6908efbf, 0xc5f7b267, 0x2e33de4a, 0x072d3e30, 0x00eeaf47, 0xa19c3ea6, 0xeeb93186,
+    0x29310e2d, 0x71f33587, 0xd9a6b992, 0xe4484ca6, 0xf83d4042, 0x29c021ad, 0x5ebd1f5d, 0x58f419ba,
+    0x99c2fb73, 0xfcb0c1ca, 0xb14290da, 0x81e4bec2, 0x3c576f6b, 0xd4d1736f, 0xa537fee2, 0x99291b76,
+    0x566fc9e4, 0xcbedba0f, 0x92a53d4b, 0x57a8f432, 0xb8ec1b5c, 0xe451fb51, 0x306cc099, 0xc8a4d397,
+    0x1a97d1fd, 0xa64065d8, 0x35a41780, 0xc125f1b5, 0xce112af3, 0x9550c1c3, 0xea1e2c91, 0x21e3b539,
+    0xdddd8049, 0x488d1c46, 0x95c3fae0, 0xcff74e99, 0xaa945805, 0x2c665fed, 0x5d760753, 0xa0f9f721,
+    0x192357b6, 0xa42a5601, 0xa2abc99a, 0x442def01, 0xc6f39d61, 0x9b78af88, 0x020ca73c, 0x71df1dbe,
+    0x43e15132, 0x40807396, 0x6c136885, 0xeea046f9, 0x876cf3e7, 0xd9408a4a, 0xd9ab48ea, 0xb2644775,
+    0xf7ced697, 0xb562c8d6, 0xf3624932, 0xd9e61b45, 0x7a43d937, 0x251a3de5, 0xe2fb4c07, 0x9a1a48c2,
+    0xb598ea44, 0xda7779b8, 0x516e9934, 0xca92fc1a, 0xd9ca3ebe, 0x3893d308, 0xf097cf66, 0xf12f2b47,
+    0x05963c37, 0x01a926be, 0x8f309a48, 0xd983bf54, 0x8fcde9b0, 0x85823b19, 0x2eac1ef6, 0xb2f36fe3,
+    0x2e192cd3, 0x0b66bb19, 0xf02990f0, 0x213700bf, 0x847c920d, 0xc3d79504, 0x6d7fcd6b, 0x6d8e9d7a,
+    0x2330098c, 0x1b463651, 0xd9e186e5, 0xe7b0ee76, 0x6c4f81b2, 0x34125eb7, 0xef5616c8, 0x1f9dcc71,
+    0x168298d5, 0xbbf6f53e, 0x68ee45b8, 0x8d8a47d0, 0x2c24fdd1, 0xb4d47a74, 0xc2fa28a2, 0x8f65da9c,
+    0xaa638eb7, 0xa3aee4ee, 0x71c110e2, 0x9af57d3f, 0x1232f6eb, 0xdc912f56, 0x0e313ea8, 0xd27688c3,
+    0x097d016a, 0xf3e60f5a, 0x52274e03, 0xb33065d9, 0xf08cbe09, 0x0d290280, 0xfee59e0d, 0x9389ad94,
+    0x7366da90, 0x44270ace, 0xde5f2055, 0x14eda831, 0x09faf833, 0xfbb309f1, 0xda598c0b, 0x937269a0,
+    0xd68eee3f, 0xe4140b46, 0xdf316c5e, 0x975209b1, 0xae5a9420, 0xdc9b33e2, 0x2775d25e, 0xba5a38f0,
+    0xc57ff891, 0x5718e0f5, 0x18256805, 0x77e95211, 0xc4a8b512, 0xe458be1a, 0x5beb4919, 0x1e84cdcd,
+    0x14a8bfef, 0xc3bc9e7c, 0xb722f1e1, 0x3c671aa0, 0x537ffe7b, 0x81dc5d20, 0x3d113815, 0xfe2729f3,
+    0x16d9f609, 0xefd74cfa, 0xd024839c, 0x08c25f3e, 0xc7a12cfe, 0x09a81037, 0x83ad7f84, 0xa06717aa,
+    0x453733e2, 0x129b8ecc, 0x28bf729b, 0x7b92ff7b, 0x2f55e1e8, 0x40075b06, 0xbad2bde0, 0x67b28147,
+    0x9679a322, 0x2c9a8f88, 0x8f3bb6d3, 0x912d0038, 0xfff0f580, 0x1d1d501b, 0x1c56cb71, 0xa4eb5a00,
+    0x1eb910c2, 0x1364aed2, 0x67d88a3c, 0x144defb9, 0x78c9e95e, 0x0ecddeac, 0x07842cb4, 0xf270894c,
+    0x3d3bee3c, 0xf6b82471, 0x2536df5d, 0xdcca3ddc, 0x1a265d4f, 0x87b8dc62, 0x4fbc934c, 0xbb93fa79,
+    0xdd03ea11, 0x8c6608d5, 0x6eaf3605, 0xff5431c0, 0x68fccf02, 0xb192da4d, 0xec91e494, 0x936cead3,
+    0x7cce20a8, 0x26f6edf4, 0x9bbfb5ff, 0x53a5fe48, 0x364d7a00, 0xbec7ddb8, 0x62bb53ea, 0x0dee8c9d,
+    0x37760231, 0xdb9ac0de, 0x3192200f, 0x2af15e22, 0xc5e60de6, 0x25decf02, 0xee0d411f, 0x550360a2,
+    0x331221e2, 0xd2e1b666, 0x2552d0aa, 0x0b1279a1, 0x984b5800, 0xfdfbfb46, 0x10d6780d, 0x5f7b2177,
+    0x54c3113f, 0x18a7b658, 0x9137ea78, 0x90685877, 0xd0d22e25, 0x533e0dd8, 0xb0f188d5, 0x2f5a4033,
+    0xea4dab19, 0x218a99a9, 0x3ee1d6eb, 0xda4273e7, 0x7af6e55e, 0x5d228fb1, 0xcc7c6fd7, 0x09b1dacb,
+    0xe3167e0e, 0xc1952363, 0xcc9512b7, 0xfbddc184, 0x0a4226a3, 0x66fc2f02, 0xe28b2a53, 0x7f08983b,
+    0x7be54c65, 0x0c25bdea, 0xd045ce2a, 0xbaabca3b, 0xb07cf3c7, 0xf97eba9d, 0xcd75bba5, 0x6f03e60a,
+    0xea1e0afa, 0x1a9ef46d, 0x59f54ab7, 0xdaffc456, 0xdb73ddcd, 0x18e5f998, 0xffdfb748, 0x37494df8,
+    0x0a926f26, 0xab0235ff, 0x28285a94, 0x07b0f342, 0xb0805e4a, 0x58a23ec8, 0xe99a0ecb, 0xa361d37e,
+    0x82ac4cc3, 0x1f3f078d, 0x4738095d, 0x7d60b82f, 0x33dd5768, 0x2c3dacd2, 0x53969e97, 0x385ad164,
+    0x5c9bdde8, 0xc0dd3751, 0x4cb03788, 0x7b24f102, 0x3de33679, 0xba3bb96a, 0xac4eea30, 0x92c6eaa0,
+    0x388d98d3, 0xa73f9f01, 0x2192f51e, 0xf6c5022c, 0x5eb665e9, 0x9cf1c73d, 0x7eed80a1, 0xa8c2d941,
+    0x3f7c0b5c, 0xe0389782, 0x7c56d8ba, 0x5a9f7ff2, 0xaca23b97, 0xf248042b, 0xbe0d2a14, 0xe418a14f,
+    0x6e5a1930, 0x8d8de0c0, 0xe665ed08, 0x17d968b4, 0x1f6e979b, 0xf6a926a4, 0xb03e2923, 0x7941de5d,
+    0xd5981e6c, 0x239aaea3, 0xaad2771b, 0x048d8c86, 0x9240f141, 0xfee05f9c, 0x3d6300f2, 0xb31e0d12,
+    0x4a60c05a, 0xf5c63849, 0xaeaaf1c1, 0x950215e8, 0x5ecefc62, 0x4c1d30e3, 0x5b78f596, 0xec58c4fd,
+    0x61c99bf7, 0x4806d88a, 0xb2d3b1dd, 0xbb485b31, 0x0f213518, 0xe64395a0, 0xe4d4c905, 0xd5247219,
+    0x89f32f4f, 0x81fccb61, 0x87ebb660, 0x07c548aa, 0xa80e3a36, 0x5c997ec0, 0x56fb60b6, 0x478ad48a,
+    0xaf9bf40f, 0xe3a68ddf, 0x22f972be, 0x264de5fc, 0x0ded6e40, 0x040f5838, 0x44cad6ea, 0xbfaa1cc9,
+    0x12122572, 0x65100721, 0x1c9c0748, 0xac7ee458, 0x2365f1c1, 0x11ccc754, 0xd94450fc, 0x4d6f0213,
+    0x0b5e6a7f, 0xc39198fa, 0x3ecd8e1c, 0x5229efa0, 0xf9536b38, 0x1a2fc0d7, 0x64225a1d, 0x5e457c8e,
+    0x38d91c9b, 0x2092a506, 0xec36051f, 0xcbeacc3c, 0xcf131444, 0x81d07546, 0x7dbf6a7e, 0x1f5f1c6d,
+    0x3be2d914, 0xd5c68106, 0xdb07b02c, 0xcb2cc73d, 0x863edd23, 0xd8ee7d8f, 0xaa4f1d95, 0x7ec04db8,
+    0x5f7df8a2, 0x727a985a, 0x7d7675da, 0xe10c1244, 0x5f8a458c, 0x4e5cfa14, 0x7d6d0c4f, 0x88038f5e,
+    0xd4d6e577, 0x890c976d, 0x6f590f28, 0x35acf768, 0x2d9b0f1a, 0x18c747cd, 0xb2b63dc2, 0x3d2e8c2e,
+    0x2517bf96, 0x0ab2dec9, 0x96facfb8, 0x623d9cd3, 0xe2cd43e3, 0x9eb9f70f, 0xe92bf631, 0x5bd22683,
+    0x07982f79, 0x14b20cf5, 0x345081a2, 0x06336409, 0x7a2cce52, 0x188e6134, 0xfd184348, 0xf8fb1294,
+    0xf1dfc49e, 0x1690dfdd, 0x701d3a12, 0x2f57bf33, 0x9d9a18ed, 0xe6faad3d, 0x0859804e, 0xc6f3af1f,
+    0x2e86633b, 0x882cfabb, 0x32fe23e2, 0xc69c9fe3, 0x873708f3, 0x658f217b, 0xfd25909b, 0x8e6208d5,
+    0xad352e79, 0x01bc8f80, 0x335c0908, 0xa341b0f7, 0x4f78974b, 0x9a7126af, 0x2a37b60c, 0xf86fc7c6,
+    0xe1240656, 0xaa247e76, 0x4e32cb45, 0x4d960e9e, 0x219ea038, 0x5b0d57dd, 0x8bd0203c, 0x4c0f3e56,
+    0x3289f73e, 0x5d652cac, 0xac25a967, 0x34d1fd0b, 0xb7eee00a, 0xe3440b8f, 0xc821aa6e, 0xd09d5bb5,
+    0xcd29416c, 0x1ad6c8c8, 0x61636d4f, 0x15fed44f, 0x413b3ddd, 0xc04a27fc, 0xa669d3fe, 0x64aa14c5,
+    0x7bd5ff9a, 0x9b36ab82, 0x6a64a391, 0x3e503f04, 0xcca108c3, 0x84383786, 0x1dbccf1f, 0xa0cdf440,
+    0x03fba2f2, 0x7cd36078, 0xaf9cf9fa, 0xef279948, 0xacb95aea, 0xc82020a1, 0x6036b4b2, 0x18bebcee,
+    0xb1d85ea7, 0x9192c6e1, 0x6709980a, 0x15dfaec4, 0xd6bc848f, 0x5c5d88cc, 0xa21e98ee, 0xa3abdc22,
+    0x09d24759, 0x590bc186, 0x0bd5c240, 0x4153aeee, 0x52461042, 0xef6dace1, 0x76b98902, 0xe9a0e4b8,
+    0xf1095000, 0x97511dfb, 0x7726ee5f, 0x7d7bdf98, 0x23cb66ae, 0xf3932347, 0xecc4b1e8, 0xfdefdafe,
+    0x69edef98, 0x94c30660, 0xc9288fc0, 0xb1169763, 0xab612ea0, 0x6d8a2247, 0xaec29670, 0xb5d05301,
+    0x971dfdbd, 0x7e4fd63f, 0x7e0e0dd4, 0xc989011e, 0xc476930a, 0x56090e5b, 0xd71c078f, 0x75ec3de2,
+    0xd8444b4c, 0x0d47c147, 0xe4369e05, 0x3ca3264b, 0x5a3ec144, 0x5143d29a, 0x8e84feff, 0x483eb445,
+    0x404bdba0, 0xe685443e, 0xe373ab80, 0xcf98d513, 0xc4c737b6, 0x2af18bb5, 0x94dfffce, 0x99c34955,
+    0x5fab1dc4, 0x09db9629, 0xce5b09e3, 0x1f48a190, 0x5983e374, 0x060e8fa3, 0x0cdcefa1, 0x6ecdf6b8,
+    0xb795511f, 0xa002c6e7, 0x3a377a6b, 0xa52c0274, 0x5359172b, 0x6b60d133, 0x142b5a7e, 0x78667be8,
+    0x92a23fc6, 0x7527498b, 0x230f4be8, 0x829b51fe, 0xafdcab50, 0x7947e26b, 0x38719217, 0x911b6f8e,
+    0x9fe7c025, 0x789f7b47, 0xc3491ab5, 0x1fd22255, 0x978d1788, 0x86e31a44, 0xe16b427b, 0xa1dd43e8,
+    0x00000000 }, /* 10**00000000000000000116294195887297102487891809262080725496582617709970889645038\
+                         43186890228609814366773219056811420217048972200345700258846936553626057834496 */
+  { 0x00000000,
+    0x40000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2,
+    0x36d59010, 0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e747, 0xc497d56c, 0x75a17ac2, 0x86bdc900, 0xacb94a98,
+    0x00000000,
+    0xfebca674, 0xc3bd489d, 0x85eeb069, 0x018104d5, 0x00634cbd, 0xd8370943, 0xf3d7b482, 0x53f365d1,
+    0x5d57ed8d, 0x54354c26, 0x75a7129d, 0xd5933f73, 0xae94be69, 0x7e1669ee, 0x989dff01, 0x94d501d0,
+    0xadfb7d95, 0x2ae6267f, 0x90809bdb, 0x36202d2f, 0x3e61afaf, 0x2d58cf74, 0x7ca25c42, 0xd27bff01,
+    0x4fec672e, 0x69e81ff0, 0x0f7291d3, 0x9b1ae236, 0xe7ddd5e5, 0xc1211790, 0x69c12588, 0x090c7612,
+    0x4631dfd3, 0xdf7be203, 0x89a23d19, 0xd54ac84f, 0x960bd33f, 0xaac39fdf, 0xf5487c22, 0x60333290,
+    0x031de24d, 0x098b6273, 0x666e265f, 0xfb6479bc, 0x24c1e55a, 0x70d112fc, 0x4188d4a7, 0x8773cf9d,
+    0x43ce1dce, 0xc77264a9, 0x558cdacf, 0x5f50d071, 0x32004521, 0x17c258ed, 0x1e15aac0, 0x22082b97,
+    0x8611c4c1, 0x25744513, 0x6768ceb3, 0x6b76d841, 0x1adabe41, 0x73827c6d, 0xa0264869, 0x3b7bcd28,
+    0x7712266d, 0x501798f3, 0x383f397d, 0x793f814b, 0x7a878692, 0xb874b9e7, 0x0e88184f, 0x2f6aa8e0,
+    0x39356e70, 0xa99cad0f, 0xc0c62c1e, 0x89f71693, 0x97eb66bd, 0x6b0fbd91, 0x73f115c0, 0xd7920dc6,
+    0xb1690cf2, 0xb31c1d13, 0xbd7db11a, 0x891fd000, 0x95339700, 0x1fe86a16, 0x424975a3, 0x6ca034e3,
+    0x56879429, 0xcc42f77a, 0x5f1bea0c, 0x19b44a18, 0xd8b64e37, 0x7609edb2, 0xacbb2740, 0x47ba181d,
+    0xd187571e, 0x90200802, 0xe110ca7f, 0x7af025b4, 0x1ebd288b, 0xbfca4674, 0x9ec15a7e, 0x93636125,
+    0x5d1dc31f, 0x9f688553, 0xb8e430fb, 0x9dc236c4, 0x5701defd, 0xe0507390, 0xe2eb058f, 0x6702de61,
+    0xebfc4c56, 0x76420911, 0xa2419643, 0x9b0393c3, 0xdc175679, 0x46e90675, 0x9de7474b, 0x673d13d7,
+    0xd5f247d6, 0x150d336f, 0xbb9ed636, 0x0b8b85a3, 0x35eb7dcd, 0xccb34026, 0xb29b8851, 0xc88308c4,
+    0xc5169e61, 0xc12bdbd1, 0x614ccadc, 0xe6f1fe32, 0xf8a7c7c5, 0xceb35d5d, 0x075c7cd2, 0xe85e3928,
+    0xdd1c411e, 0x7ad5cd6b, 0xa80e289e, 0xb303cc77, 0x102e70af, 0x17b08762, 0xbd949b90, 0x2fc6edba,
+    0x925330ed, 0x8570b11b, 0x5a23b3f1, 0x1404050f, 0x1a3d0e31, 0x6f3e03ed, 0x31f51611, 0x2cad44a5,
+    0x78b32ef4, 0xffddbc5b, 0xac8a52a2, 0xe0a9caf1, 0xad9947d1, 0xf80ac3ee, 0xe0f30d6a, 0x7f24da25,
+    0xa8e7cb81, 0x18d16f2e, 0x1af73b4c, 0xf420f3ce, 0x6e86978b, 0xbf016c89, 0x572f60b5, 0x22a1ef32,
+    0x02b73f57, 0x0d43b19a, 0x3e954a72, 0x85866a9d, 0x7230ee93, 0x45d201da, 0xfc7ba2da, 0xef7ba0fe,
+    0x1d8a255e, 0x5775fccb, 0x1b855ba0, 0xeb65d240, 0xcee82e85, 0xa9a5a6ca, 0x678b4234, 0xbebdb7a0,
+    0x6f0b1861, 0x28b5405b, 0x3d8829ef, 0x88bf4f1c, 0x572ee43d, 0x7c369c40, 0x50bbc4d7, 0x70ed7360,
+    0x7dc5469b, 0x09315349, 0x05807907, 0xa3aaba6c, 0xb6c9004e, 0x819cabbc, 0x8e4ae0a6, 0x47a09279,
+    0x5c9bde4b, 0xc50b3bd5, 0x9533986b, 0x958eda51, 0xde00f357, 0xe764de15, 0x159ae2f4, 0x767fd2bd,
+    0xcef5d056, 0x1d64f554, 0x2cb8b2a3, 0xab46ac6a, 0x6caeca6a, 0x7385430c, 0x87dbca44, 0x4a7f1873,
+    0x7d9023b7, 0x2c41d511, 0x34cfbab3, 0x29c72acc, 0x9093c0cd, 0x1982be59, 0x27ac72e1, 0x526f03a4,
+    0xb7f1e4ea, 0x56e0a95d, 0xd5c25adf, 0x445abec8, 0x67da62ad, 0xc55dfec7, 0x8facbbbb, 0x87a7176b,
+    0x82ba378d, 0x31798084, 0xebc3d771, 0x4547b710, 0xca7a4c6c, 0x1247660b, 0x63f297ea, 0x4bc7f0b3,
+    0x1af1d458, 0x7d1d00ff, 0x1ec335b2, 0x2dce70f6, 0xd099c7e8, 0xd0504655, 0x4b185ec3, 0xf185e82b,
+    0xebb15ce6, 0x1cbe59cb, 0x12e0258c, 0xa0a31015, 0x9c005ed6, 0x8ff3262a, 0x488e44a2, 0xafea5207,
+    0x13c967f3, 0x419458a5, 0x198584a7, 0x83b20c93, 0xc29b960f, 0x004c78ad, 0x08f9da96, 0x14da9cfb,
+    0x674cf660, 0xf8f09201, 0x0d250c97, 0x0b010016, 0x5e383870, 0xda9181cd, 0x46dc89df, 0x078794e7,
+    0x97db60b9, 0x682c8052, 0xff3a74d2, 0xc02613d4, 0x3bfbf04d, 0xcf32eb5a, 0x043ef700, 0x2ea152ca,
+    0x45018857, 0x3ade8c6e, 0xf675b00f, 0x809b1466, 0x37bba799, 0xeeb263b2, 0x2f75ecc3, 0x87452c4a,
+    0x8f150a53, 0xb2548642, 0xc05f8ccf, 0x159833f3, 0xa67c19b3, 0x2c9cded6, 0x080b3ddc, 0xe5ca290b,
+    0xb1de7144, 0xe6240451, 0xb829eeea, 0xc5304311, 0x1df403be, 0x4912f8ce, 0x7813eba6, 0x696742cc,
+    0x2085fe0d, 0xb172c975, 0x92c2daf9, 0x0216a99a, 0x76147145, 0xdef644a4, 0xd1202913, 0xc020f0b5,
+    0xf7111de7, 0xa0832207, 0xe99704f7, 0x64840b7c, 0xe4e67e88, 0x36841c03, 0xaacfef29, 0x6a35f20e,
+    0x364bc42c, 0x7f5a4cd9, 0xb685632a, 0x612bdaf0, 0xc5812da2, 0xffc2fda7, 0xe5cc4bb9, 0x3e67f0b7,
+    0xbc4001d6, 0x34917f82, 0xf76dbc3d, 0x2cd77b89, 0x184e338f, 0xacbddda5, 0x96ec6275, 0x12d005ed,
+    0x79ed408a, 0x0de73ca2, 0xce371df2, 0x41209ac5, 0xc10d7b11, 0x9e7a0ac3, 0x48fb0ab8, 0x316c1260,
+    0x20491288, 0xc2f91eb0, 0x761f1904, 0x7ab3018f, 0x5df26476, 0x9720fb88, 0xfc1401a0, 0x0aee07df,
+    0x424a11f4, 0x09c02670, 0xcf5ab264, 0x0aefdb5b, 0xcf765da9, 0x4c0eebf1, 0xbb8af74f, 0x770843b9,
+    0x1ba20837, 0x84719551, 0xaf90ae74, 0x937ce1a0, 0xebf4db40, 0x0b254ba9, 0x2e1e0300, 0x8da8d690,
+    0xd5522a68, 0x462372a5, 0x8f6ad9c5, 0x8522de1e, 0x72c86dfd, 0xf54926b1, 0xf9a10a6a, 0x993f9572,
+    0xf1920126, 0x16858724, 0xa14b8ba3, 0xb1a9e19b, 0x0503e0e0, 0xa578583d, 0xb5a660ea, 0xc2d1999e,
+    0xef18597c, 0x1e4382e3, 0x5d32b529, 0x3004a592, 0xa15cfbea, 0xb8945905, 0x9e5a8279, 0xce71d9e4,
+    0x2880308a, 0x39dd0c55, 0x9a2e54b9, 0x0bb5a95c, 0xa64e10b1, 0x5d6a4e39, 0xe89bfffa, 0xc6a49c20,
+    0x889b2007, 0x4036b5c7, 0x592fb607, 0xbe4e0fa9, 0x1e80cf99, 0x56b876fa, 0x1f304ec7, 0x2fc663df,
+    0xfbe82de8, 0x905a6b94, 0x20c724a4, 0x0ba35226, 0xb7fde96e, 0x7fab1a25, 0x7895c6d6, 0x4536b92f,
+    0x6c070a5e, 0x6913b8fb, 0x0d2032c8, 0xeeb3fdc6, 0x438b5dbc, 0x456bbc0c, 0xf3d8f0fb, 0x3a7c28f0,
+    0x968c193e, 0x400ab736, 0x4285f4a6, 0x2d68016e, 0x9e80d352, 0x91105fa6, 0x268978dc, 0x197eb14d,
+    0x073e385c, 0x67488072, 0x04b43bde, 0xd8e538fd, 0x4d98fd0b, 0xf0b2f9d9, 0x04f644a6, 0xb7faaebc,
+    0x7764702f, 0xcac6a87d, 0x52b4a4e2, 0xb6fb1775, 0x949eba2e, 0xd5fb1bc8, 0xb4141f21, 0x8239d283,
+    0xb102f9d2, 0x8ca32455, 0x147fb22d, 0x2b1bd484, 0x87b679e5, 0x22f331de, 0x04733e2f, 0x3a0f8aa0,
+    0x46e34a70, 0x6c85fe47, 0xb1098e87, 0xf9c3de03, 0xdbf17784, 0xe40d1eae, 0xe3a52963, 0x4d6f875c,
+    0x3abdc938, 0xa085176d, 0x1696ba67, 0xe922b579, 0x0edb6315, 0x27e62de2, 0x8789aa69, 0x9cf751a0,
+    0x2802c6cb, 0xe5e847a8, 0x79b09f29, 0x302e369c, 0x9dc3ed8f, 0xa12ee6f8, 0xa8080a62, 0xa578992b,
+    0x3fc8d6c6, 0x32b1c7f6, 0x5f4e7b58, 0x57684c1b, 0x94b3bc39, 0xeca28766, 0x5ff9acf1, 0x587efb04,
+    0xdcf27a52, 0x750e9df4, 0xdedcd996, 0x04ce3fec, 0xb7a85017, 0xb4ca0913, 0xc4555785, 0x26201b7f,
+    0xf96e6c01, 0x6831f908, 0xbd96f60b, 0x67df0f3f, 0x23a624e6, 0xf8730212, 0xd394ab93, 0xae1cc29d,
+    0x3920274b, 0xcc59f3c4, 0x568db561, 0x26959bce, 0x756dbeff, 0x8b92a2b0, 0x8fcb7a4c, 0x276b8cbd,
+    0x68cde866, 0x5676e253, 0xd41b1c1e, 0xcd03df08, 0xa1d9596d, 0xc0602a09, 0xf77ba4ec, 0xa934e84d,
+    0xa4b1cd86, 0xd2f98247, 0x9799aa88, 0xc8e5dc8a, 0x724c73f2, 0x2ed55d09, 0x9120628c, 0xe2abe231,
+    0x16c7da47, 0x7408bf11, 0x4e7aa3da, 0x8717d43d, 0x76e90d44, 0xaca2fc67, 0x8ece5d73, 0x2db4f450,
+    0x7278b375, 0xb6a5ab3f, 0xadbb7980, 0xc6fdf7c7, 0xe9dbf2f3, 0xcda272a1, 0x3f850d17, 0x68a91c44,
+    0x4e4a7562, 0x570418ae, 0x07e6ab16, 0x14c68e40, 0x600a4f68, 0x76d5cd5e, 0xf2b446b7, 0x83566ff8,
+    0xbde43e86, 0x9680bc57, 0xdf5ce92e, 0xe0f1e66d, 0x5f6fd767, 0x24f97c67, 0xfb3e33c0, 0x9e96fbcc,
+    0x637baecf, 0x47b8460d, 0x9f4f4024, 0x5336dbb5, 0x93f8ee07, 0x8b260104, 0x94790757, 0xee3f96a4,
+    0x9e6dc1b1, 0x7c962e2a, 0xc4cdb7d1, 0x0629b67e, 0x5c9c9165, 0x30892f87, 0xe674245f, 0x219a930e,
+    0xa3b27b33, 0x6139b307, 0x72fcfcbb, 0xd6c0df81, 0x91eecc6f, 0xe39399b2, 0x8e02408c, 0x8d29442f,
+    0x16f03869, 0x9589a3d4, 0xb9922d76, 0xfb34d4a6, 0x366991c9, 0xc31f8486, 0xb7fa5fcf, 0x84788c46,
+    0x7f9a717f, 0x08e97c19, 0x37b98045, 0x7cf10dfb, 0x39990ddb, 0x5d9024d7, 0xe8bacf61, 0x09bb7db2,
+    0x51057ad4, 0x737d34d9, 0x3730b699, 0x76a42d73, 0x9adb3cdc, 0x91efd1d0, 0x56156ab2, 0x217c3f44,
+    0xc4c8f525, 0xff7dcf45, 0x15fa4737, 0x0fc2a96c, 0x1cea6615, 0xdcecad12, 0xbe6b623c, 0x287dbf08,
+    0x81e77f34, 0xdba1a227, 0x7f3eaecb, 0x4baf98a1, 0x862722a0, 0xe8fcac9b, 0x95dfad41, 0x20d294cc,
+    0x15acce0a, 0x2ca47540, 0x5e6d63d1, 0x0c8f6446, 0xc68e4868, 0x9a0eea4b, 0x4ccabb43, 0xeef399e2,
+    0xab914c7c, 0x799ece6b, 0x37f8e259, 0x5d11d5cc, 0x3779600a, 0x1303fca8, 0x4b588936, 0xd252bb37,
+    0x2150b11b, 0x5a72b409, 0xccd3e681, 0x6f978793, 0x18bdb405, 0x715e4fe7, 0xdae3932f, 0x13b69cfb,
+    0x7a7003fc, 0x74013ec9, 0xd9ac3d0f, 0xaa0561b6, 0x54fb1149, 0x99a1af66, 0x2f474ab0, 0x943ef81c,
+    0x60f98e65, 0x030e46c0, 0x9ed53562, 0xcc2521cf, 0xde508455, 0xa7c32ee8, 0xa830d986, 0x78f8ce68,
+    0x272f4626, 0x6b93521c, 0xaae35c78, 0x56e4de65, 0xd05584f0, 0x842a05b1, 0x0753fbcb, 0x6aa5f31c,
+    0xa91c30dd, 0xec900479, 0xf28a6c2e, 0xb409517c, 0xad080ced, 0xd513dbcc, 0x1bae1c55, 0xf59c0fff,
+    0xaf840607, 0x8e245c16, 0xc0d860ac, 0x26021f8b, 0x5045316b, 0xe1304409, 0x5a801994, 0x69fc47b6,
+    0xba2122eb, 0xe26151d0, 0x8031df81, 0x68b46ed7, 0x4018d8b7, 0x3c8f047c, 0x93dc0d5f, 0x1a8be02f,
+    0xc56f1042, 0x8e154f65, 0xd1d02b3b, 0x6c927c23, 0x04412927, 0x32f07ec1, 0xbe5870b3, 0x103d21c5,
+    0x5ab1a65c, 0x5a8be8fa, 0xfd18b0bb, 0x1c4dbccd, 0xfa0c65d1, 0x29c1dac8, 0x09a3729e, 0x6b4e976f,
+    0xc45c5e6d, 0x3f5e0be4, 0x73b5b8e8, 0xb232b1e7, 0xf6be8a00, 0x0fb6884a, 0xd4afc5f7, 0x99f81340,
+    0x455fe6e2, 0x627bcbf5, 0x0d987a37, 0x6b70104c, 0x8d5f7f8b, 0xafa5154f, 0x61e8c377, 0xb6104904,
+    0x02fb1b1a, 0x57c5151b, 0x59d41d1c, 0x3240ab39, 0x41ecff41, 0x3bb22e0a, 0x2f2404d5, 0xb11cd052,
+    0xfcbb64c1, 0x9a67b614, 0x329bde63, 0x60b72599, 0xdd3fdb9d, 0xebc2d986, 0xbba9ac5a, 0x34cbf681,
+    0x2a539d3b, 0xeb068466, 0x4ea75779, 0x48b1c312, 0x7fcad5db, 0xc3074660, 0x349cce71, 0xe3076769,
+    0x297890e2, 0x368f3281, 0x6a7f2acf, 0x5bb71ba2, 0xe16f3842, 0x9346cfef, 0x98c16f3a, 0x9d72bee7,
+    0x5044f161, 0xa5b1f9fc, 0x21bc4cdd, 0x71bdc69e, 0x8286cf58, 0x92fb1e78, 0x93c2dd09, 0xc383abe1,
+    0xa4cfa0ae, 0x83b91772, 0x048039a1, 0x2107488c, 0x9cfba3df, 0xee4e6415, 0xe0353f79, 0x6807fdc3,
+    0x787f1162, 0x5be240ce, 0x6c336a30, 0x8cf6ee8c, 0xe2cbad31, 0xf0f4cf43, 0x3caee05a, 0x7f029e86,
+    0xfefacd3e, 0x84627698, 0x41f7f9a4, 0xd15414f4, 0x1904970a, 0x6b53ae11, 0xa8d53e26, 0xc4388217,
+    0x6a647c1a, 0x1d7612b2, 0x56fc4050, 0x6d2adccf, 0x5f92e1a4, 0x64e794f3, 0x68b27e09, 0x4384f16a,
+    0x1e0ee47f, 0x0e4bf879, 0x8a2d287c, 0xf51c0cbf, 0x173dc574, 0x8bbdeef3, 0xab604bfa, 0xd26e1575,
+    0x31791648, 0x21374a97, 0xcc713803, 0x4343b418, 0x9d816c3b, 0xe7e4cec9, 0x62424406, 0x9014feaa,
+    0xa4a90a9b, 0x0e362c85, 0x435cb7b1, 0x701a424f, 0x381ac8fd, 0x1c199a57, 0xd078e68d, 0x3bcd81bd,
+    0x8ca79185, 0x06f064b8, 0x48cf007d, 0x323817c8, 0x94edcaac, 0x4073b1e2, 0x0b0c7ae9, 0xef9ee924,
+    0x726fcb90, 0x56c5fd59, 0x8e689e02, 0x0106a7e9, 0x3b7dbd16, 0x06b249ab, 0x7eea4f0d, 0xda2744f7,
+    0x91bfb50e, 0x39a7674a, 0x051d722c, 0x0f8f2d54, 0x480b0a94, 0x6eb284a5, 0x21b20013, 0x876485df,
+    0x48e083a7, 0x195d86ba, 0x78726a2e, 0xc0270d84, 0x6bb690be, 0xb885718a, 0xc6289f16, 0x4d105bc7,
+    0x2ca91b69, 0xc1467bf4, 0x6d628656, 0x42be1464, 0x7f07fecc, 0xf1d15f2b, 0x96cddec7, 0x0a6fc677,
+    0x0fedbe57, 0x281dcbd3, 0x32a65aac, 0x2ac5c998, 0xd4fa98cd, 0x95f0bfb9, 0x8a8b0e89, 0xd7e0d636,
+    0x3b7a3c00, 0x10fcf258, 0x9298fa04, 0x6096b062, 0x57439cf0, 0xfbe5fa3c, 0x8a8dbcaf, 0xb61bc719,
+    0x744d48e9, 0x82029cc9, 0x69934dea, 0x9eb6ceae, 0xc83b2a1d, 0x33e59c6a, 0x1fcb4e5c, 0xf0e829dc,
+    0x45c0fdfd, 0xf6a16287, 0xbd76438d, 0xe06b5d11, 0xd8097672, 0x496a64bb, 0x2fe2c7e6, 0x055e03c8,
+    0x3992d390, 0x01895e33, 0x3e0269d6, 0x4b2e36d2, 0xb10d84de, 0x106e16a8, 0x847a1293, 0x94f9799d,
+    0xe75ce5fc, 0xada2593c, 0x57877c9d, 0x9c8f3ce0, 0x8ce64d60, 0x0fec4e3e, 0x6fffcd90, 0xfde16ac0,
+    0x305703c8, 0x6b6552c2, 0xd25ee1df, 0xd73905ab, 0x396e1a36, 0x1f1535b3, 0x2094d578, 0x34ffc1f5,
+    0x7298b976, 0xfa64218d, 0x1bd28a84, 0xe88da2b0, 0x2f830175, 0xbcd3219f, 0xa908ff77, 0x6a903682,
+    0x7f549048, 0xb60bba5b, 0xa9f26064, 0x24f3cfb2, 0x99291e46, 0x39dd4243, 0x4514c672, 0xdd86592c,
+    0x7af425f5, 0x74c67d1f, 0x0469ed2a, 0xba8fe384, 0x1f0cebb4, 0x49586c53, 0xec0fffcc, 0x00b9829a,
+    0x99864f93, 0x854ff8d8, 0xe6268e45, 0x35c97452, 0xafca307d, 0x7a25b52c, 0x76f55a35, 0xed9313ac,
+    0x74ee688d, 0xa5fc157d, 0xb5950f91, 0x3d75b88b, 0x70e23d3c, 0xfd10ccd9, 0x49d4769c, 0xac016321,
+    0x10dbd7d6, 0xd827fdc4, 0x06f685a8, 0x94d29918, 0x7b730b77, 0x870e12f0, 0xdad644d8, 0x21a70885,
+    0xbc7cc731, 0xd00523a6, 0xe87307a1, 0xc306fe12, 0x7155be69, 0x55d8b82b, 0x28342e9a, 0xa994ee0d,
+    0x3d5af475, 0x7bd1e17f, 0x64d88a20, 0x6675c020, 0x36f3c5ee, 0xa1f05947, 0xb75bb7a8, 0xa3d87aae,
+    0x12f4ae29, 0xaecda8ee, 0x1a3722dc, 0xe06c3c86, 0x88d38669, 0xc445de3c, 0x22299936, 0xe7ee140e,
+    0x3f77f3c6, 0xd45e76a6, 0x5fc1f0e6, 0x4307d47e, 0x419dc354, 0x35fceec6, 0x73276d8d, 0xff59ce53,
+    0x2f35f9b2, 0x9fd87a42, 0x9f068fdc, 0x95ba8d4e, 0x6f2799b4, 0xb654a415, 0x4badd518, 0x0870859f,
+    0x00000000 }, /* 10**00000000000000000058147097943648551243945904631040362748291308854985444822519\
+                         21593445114304907183386609528405710108524486100172850129423468276813028917248 */
+  { 0x00000000,
+    0x40000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9,
+    0x1b6ac808, 0x2e7859d0, 0x6650fde9, 0xdd51f3a3, 0xe24beab6, 0x3ad0bd61, 0x435ee480, 0x565ca54b,
+    0x00000000,
+    0xff5e200c, 0xa7df4a4f, 0xcaa99798, 0x68cd6381, 0x07464ef6, 0x30408bf1, 0x4ba21830, 0xf4e610e7,
+    0xd568a512, 0x2584dcc7, 0xaa0f2071, 0xcf7dc001, 0xa8ef1928, 0x6b9602b6, 0x2cddf3dc, 0x2f13aa54,
+    0x13b2fbfe, 0x2c561190, 0x1224ac94, 0xc9959914, 0x233a86af, 0x4e10787d, 0x13307f0c, 0x277746b4,
+    0xed18635d, 0x828c620b, 0x797cb139, 0xdfa6df46, 0xfc3e45b6, 0x82a76eef, 0xb239cb6d, 0x25af95d1,
+    0x433d4913, 0x5d5c6de0, 0xc691861e, 0xf230d33a, 0x343b8288, 0x6b535175, 0x01c58868, 0x10dc4c02,
+    0x147b7808, 0x3e79c594, 0x844bb0c6, 0x742e0352, 0xd684419f, 0x809be922, 0x2581d79b, 0x25da7701,
+    0x174e8b67, 0x5073999c, 0xaa96cd68, 0xdb981271, 0xa8803916, 0x8c52224c, 0x8544abbd, 0x1bb531a7,
+    0x010c4a98, 0xfe0e0834, 0xed1775be, 0x197f18f8, 0xd8419a91, 0xf843885b, 0x4c2b972f, 0x3c66c670,
+    0x9dd1e430, 0xc515e644, 0x927cc9fa, 0xb2f80d81, 0xdd528146, 0x529fd149, 0x84682ad9, 0x6817c075,
+    0xf4a506ea, 0x4aa7f7f7, 0x0825d5f9, 0x926bc179, 0x11be384b, 0x87d4ed10, 0x7fba0756, 0x4d3e09d2,
+    0xc3003c27, 0x61209edf, 0xad13695f, 0x39ebbefe, 0x57dd4281, 0xc4528c7d, 0xa1859fc1, 0x75fa1b99,
+    0x76934dbd, 0x97423acd, 0x44636eeb, 0x86ecf987, 0x9f32ce69, 0xbf01d08f, 0x18192dc9, 0x7c401df3,
+    0x8c982909, 0x81feb28e, 0x07bda025, 0x88808ec4, 0xc2d76011, 0x7c28f9e4, 0xf600ea0d, 0xc41391b5,
+    0xbc854c73, 0x0365d32e, 0x15b1e56a, 0xe1fde079, 0x842398bd, 0x349b4f6c, 0xe9a8d6ef, 0x13692887,
+    0x2ee9b03e, 0xbe46e265, 0xb66fb02a, 0x3d5d5856, 0xf3df4260, 0x5826770b, 0x5fac6545, 0x5ee571fb,
+    0x50bc1532, 0x0fbbbdb5, 0x215256f1, 0x50845944, 0x9aa5fdd9, 0x3838ba44, 0x6965becc, 0x306879e6,
+    0xabe349c8, 0x942969ca, 0x87859e23, 0x2b1b147f, 0x40880cdc, 0xc11b3b2e, 0x0f4edaab, 0xdedf1fc3,
+    0xa7a85ca5, 0x1b92f9f6, 0x7d1cf0e6, 0x755cb7f5, 0x1d69e5c3, 0xac00ace0, 0xed7b5be2, 0x2d59ed78,
+    0x2f82103d, 0x8d41a5e9, 0x07ca48d4, 0x0d719dc6, 0x6d02e27b, 0x61397a97, 0xa9c8c3e2, 0xfee2c646,
+    0x0638a420, 0x06b9b713, 0xd287143e, 0xceebddd1, 0xfb3054d4, 0x8ddaebf7, 0x1ec6bd11, 0xdd310ded,
+    0x605612d2, 0x56a1f83c, 0xa1a345d5, 0xd08a2edd, 0xc8f2c74b, 0xc8dd328e, 0x69dc623e, 0x01897fa8,
+    0x1d7b436e, 0xc867c71e, 0x1329c670, 0x205bc886, 0xab01f9a6, 0x4614e43e, 0xdc1a1bef, 0x97b7825e,
+    0x8cd045b0, 0x9e3637b0, 0xbe076e60, 0x390753e7, 0x97e24081, 0x766f4047, 0x5448a832, 0x8ebaa97f,
+    0x0313144e, 0x340b88d4, 0x518ae7fc, 0xea561d40, 0xc515767e, 0xc2c8907c, 0x7c10214f, 0x96bdb7eb,
+    0x90636725, 0x0ab34c40, 0xc6f0ce4c, 0xe9eb6e9a, 0x75ce56cd, 0xc2efbfc9, 0x46e29405, 0xde45db8a,
+    0x3c66b7af, 0xe1886543, 0xf67b96df, 0x22c77483, 0xde65594e, 0xa87039ed, 0xef7f2fc8, 0xc0887404,
+    0x36cd3895, 0xf9623019, 0xec03fb62, 0xb8b0cf27, 0xa0e9e7b4, 0x73432083, 0x9a9f8d83, 0xb6400e7c,
+    0x36bff12b, 0x587c25df, 0xf650177f, 0xaeb1831f, 0x31b8207c, 0x0957eda5, 0xb991ea8f, 0x2dbdcc19,
+    0x8b59765c, 0x8497c7bf, 0xaf26b7dd, 0xc6fd529c, 0x9e8ec5db, 0xa61ef2a1, 0xe7b8e8b3, 0xc2dcc79c,
+    0xafe9382a, 0xe4a2d8fb, 0xf99362bc, 0x7817ce3b, 0xfebebe88, 0x56980a87, 0xc30a12f8, 0xe2a173aa,
+    0x8ef60b92, 0xbb509b3d, 0x260cf51f, 0x79b72047, 0xcb4007c2, 0x11908a49, 0x88e5d846, 0x40c4bebb,
+    0xf690abca, 0xbad10814, 0x9356b524, 0x4ac9e3be, 0x4412578c, 0x20dfdd46, 0x4d4676d5, 0xf73866bc,
+    0xda12a3cd, 0x9df88385, 0xe771f296, 0xe99ecec5, 0x5ef56d8b, 0x8c88082d, 0x33f33d18, 0x7b315182,
+    0xb6de786c, 0xc2a27673, 0xf4363ac5, 0x9a35a7cb, 0x0e091aa3, 0x4c0a7f84, 0x32cd5907, 0xf2f6288b,
+    0xcc3ac224, 0x74216824, 0xe473c0f1, 0xdbd9f670, 0xc82dcc95, 0x0435dbd5, 0x482c4c90, 0xe41c039d,
+    0x979c196c, 0x8129219f, 0x136db60b, 0x05a830ea, 0x36181262, 0xdc70cb5a, 0x932cf48d, 0xf1552437,
+    0x7f2695a1, 0xe686df54, 0xa86ce767, 0x7134e2c1, 0xd680de05, 0x3b4c39ac, 0xb41d76bf, 0x08f2f611,
+    0xe83c7758, 0x6d01c077, 0x0188aa1a, 0x89e21f29, 0x291a694a, 0xbb57e496, 0x94703f29, 0xb3cae562,
+    0x12d690de, 0x24e2c94e, 0xef5b4a91, 0x429fa6bb, 0x4fbf3cbf, 0xbb40d6a4, 0xb7505907, 0x3181dcee,
+    0xa6d98451, 0x0e587150, 0x36180280, 0xfa3230d7, 0xd0a77158, 0xc9480702, 0x946729ac, 0x8e132099,
+    0x7a9aea3e, 0xe51cf314, 0xbe8bf4a2, 0x19e6f8e5, 0x2b24b80f, 0xeb38d6bd, 0xe903f58b, 0x0aaea2ce,
+    0xbbe97da7, 0xb03c91c5, 0x14d048e6, 0x5e2b2d7b, 0x35c326b9, 0x0e4874b3, 0xf546371b, 0x114b891b,
+    0x564e3ca5, 0xbd175361, 0xc64640f1, 0x3134bbdf, 0xe72b0344, 0x1a819e5b, 0x38eecc18, 0x0ebf7ddb,
+    0xdc2310c5, 0x8f9b955f, 0x7a2604bf, 0x1f92da57, 0xd7320061, 0x84a581ab, 0x5cb14c52, 0xfc2bd566,
+    0x974fd513, 0xd551cf31, 0x2dcea0d9, 0x9ea99526, 0x677eaae3, 0xde396185, 0x603811b0, 0x36eb1ed9,
+    0x8ed7ab54, 0xd091cadc, 0x7cf347e8, 0xfb1cb7ba, 0xed77357e, 0x6076b8b9, 0x6b86ac27, 0xe084bd8d,
+    0x259de3cd, 0x8025a517, 0x8e437536, 0x60ffe8bc, 0x279b6692, 0x42d5fa32, 0xe05dde95, 0xa7697ee0,
+    0x26744451, 0xeb3e3c49, 0x6866a67f, 0xaece2bca, 0x567f27c4, 0x3879f27d, 0xf630f56a, 0x080fa909,
+    0x33fb50b5, 0x25017228, 0x0d0d000d, 0x142428f9, 0x1cc24708, 0x7130300b, 0x18f5b06c, 0x2d155f3a,
+    0x4a4777aa, 0xf91053c5, 0xaccefa56, 0x05030306, 0x6802613d, 0xa9121e84, 0xec148a4e, 0xd1bbef81,
+    0xb8bb5c73, 0xa776b632, 0x6033efd9, 0xe271c3f5, 0x71381601, 0x08477c00, 0xc6e1b78b, 0x755ed9a8,
+    0xadabd5d6, 0x024f1ffc, 0xe7a33de5, 0x55e9865e, 0x197f1513, 0x780a0dd8, 0xbd7c0d28, 0x5e198a59,
+    0x1a635fec, 0xe49b5056, 0x46cb7645, 0x0c679c6b, 0xf3c9827d, 0x34f3ea13, 0x157062cb, 0x199a961c,
+    0xc5c659a1, 0x5de1db60, 0xca1ca9b5, 0x0d612995, 0x3816ad88, 0x7e4614fc, 0x8f7fb7d8, 0xf796e60d,
+    0x40531750, 0x780f28f6, 0xeb539c83, 0xd1cb54cf, 0xc269a55a, 0x9cf6a31d, 0xa3864778, 0x847f50d9,
+    0x6541ea06, 0xdac29f2a, 0x3590a71a, 0xa23d3585, 0x5d1000b3, 0xa7905618, 0xb8b01177, 0x2b473997,
+    0x2791a0c2, 0x8f54564b, 0x774f2e40, 0xf624ee3a, 0x88889f81, 0x3ec8d006, 0xab541b85, 0xab01d023,
+    0x8a8252f5, 0x0719ce28, 0x933ed566, 0x1fc75da6, 0xda33f0d9, 0x5688d729, 0x754bf0a3, 0x253f9142,
+    0xf0bf80f5, 0x9231a5ea, 0xc5a0550e, 0xd4485c0e, 0x1f2a65e2, 0xec6eb89f, 0xbba9df2b, 0xf23f0568,
+    0xe8da5c88, 0x8fc1ef58, 0x9ed2bbc3, 0x0c892b12, 0x7ced4a0f, 0xbfc0b8a2, 0xa177a9fb, 0x072581d0,
+    0xe9f1790c, 0xf8d09678, 0x2ee1a661, 0xf3a4ef2f, 0x24ef884f, 0x24b6f07e, 0x6b81b56b, 0x305125c3,
+    0x7e679bd1, 0x71c252c8, 0x308659f7, 0x7f6f0c88, 0xd396f7c4, 0x7951a9c4, 0xffa37f42, 0xf5551e44,
+    0x5dfdbcff, 0x1cb30754, 0x3d831fbf, 0x32108f9c, 0xa43b5406, 0x6dfed9a6, 0xb6032f4a, 0x17b7306e,
+    0x9193b86e, 0xe08fe6a6, 0x460f34c6, 0x3c5dc14a, 0x4db3b730, 0x49d77e2e, 0xb02d1a15, 0x32e1d385,
+    0x5c1bf2ce, 0xc7374bda, 0x45be2e33, 0x33f8ed9e, 0x839c9f37, 0x9ffe896c, 0x493a908a, 0x4297c6e6,
+    0x88eead63, 0x0717b89a, 0x85dae7c7, 0x01982580, 0x868f2ff3, 0xd1f05328, 0xc3cf8e3d, 0xe2dc25e3,
+    0x03f40dfe, 0x14e12afe, 0x5c906aea, 0x81acd7e7, 0x10016623, 0xee3461eb, 0x607c1c4e, 0x90d01c52,
+    0xc05a99b4, 0x30b807e9, 0x32df05fb, 0x48642abf, 0xc4709942, 0xdff68d0a, 0xbc94dd34, 0xbe06cced,
+    0x3a55b018, 0xe6f6e3c1, 0xacacf937, 0xac036456, 0x1f246c70, 0x47c5ce37, 0x162d8789, 0x018d1c2a,
+    0x2cdb6850, 0xe4797895, 0x16cd997d, 0xb561fb14, 0x4ebc3ead, 0x19497056, 0x8f9db0ca, 0x5b6a23ef,
+    0x2e3d4d6c, 0xa7f94e9a, 0xc06ddf2a, 0x17c4a411, 0x526da8b6, 0x39fe0192, 0x324c9a9a, 0xc8709786,
+    0x6366dde7, 0x31a0b23e, 0x8f42aa34, 0xd8a20a48, 0x6287fef5, 0x44cddc4a, 0x40a16bea, 0xaef8d463,
+    0x6c8a884e, 0x2a55fafe, 0xc1c21c5d, 0xab61b21b, 0xc9b18940, 0xd1140f8a, 0x1e776783, 0xf6af8105,
+    0x16889998, 0x9080791c, 0x34713c44, 0x05935063, 0x03839b7f, 0x85339c79, 0x7d1be49b, 0xa368a9a1,
+    0xd774e1d6, 0x227b716c, 0xe61e5d30, 0x0bd5bd66, 0x273d202f, 0x389248c7, 0xcf60f634, 0x1bca6c0c,
+    0x8d4b870e, 0x14d1293c, 0xfdedcab8, 0x511c0335, 0x65d03880, 0xcd7198ca, 0x73ee87a2, 0x0f0210ff,
+    0x69255a6a, 0xebc0593d, 0x5d5abfea, 0x50bef2d2, 0x09e0de33, 0x74444855, 0x37ca6e5e, 0x646bec17,
+    0xdbff7e5b, 0x05b56b32, 0x0e3fb1bd, 0x498250a0, 0x56eb9169, 0xb527c1a0, 0xb0de0883, 0x3b0ea2bb,
+    0xb5394c22, 0xd727bf88, 0xbc1b582a, 0x2e7b7514, 0xa107d1fa, 0x2d09f444, 0xbece885b, 0xe25275ef,
+    0xd815805e, 0xe75c9137, 0xf8e07009, 0x6dda1843, 0xea9a3b6e, 0xaa437d24, 0x0a3af9ba, 0x8eb380c2,
+    0x67421018, 0xb4daedd9, 0xee502a5c, 0x9db852b8, 0xa9c1dd26, 0x3fb36ed3, 0xe486c12a, 0x89ce9e92,
+    0xcc1288c9, 0x5357d9f4, 0x42c242e8, 0xe98547ab, 0x2b0aa52f, 0x595edefe, 0xf5aa1346, 0x2289bd02,
+    0xa60e9173, 0x4697ccc2, 0x7ead8fb1, 0xdafda393, 0xe75e638e, 0xd395335e, 0xaa64cabc, 0x409d6135,
+    0x564402f9, 0x1ee53f58, 0x57dbdb58, 0x9225b3d5, 0x4df16239, 0xda120035, 0x7f7a31cd, 0x926b44c1,
+    0x35b3b64b, 0xa707d491, 0x234f2e3b, 0xa21eae5b, 0xb378b720, 0xe5e3bd33, 0xf9eca48c, 0x65b6a307,
+    0xea077125, 0x3ee5f438, 0x04f71d61, 0x56f0c4e0, 0x6a9c6646, 0x407ccaf0, 0xab1d8a7b, 0x8eacc310,
+    0xa0296c3c, 0xe535bac5, 0x838d1fc5, 0xd938edb9, 0xf6c4dc4e, 0x23b6ed33, 0x8ce1e4d1, 0x69a54a31,
+    0x063d9b63, 0x75a3e2f8, 0x70d3b723, 0x939044d2, 0x5d37701b, 0x6059db8b, 0x611408c8, 0x67a73d59,
+    0x45542be6, 0xa74e607f, 0xa7f5584a, 0x4133cdf3, 0x27dcdc2f, 0x060a408e, 0x8e4eed17, 0x0999bdda,
+    0xa4940ca0, 0x04760d70, 0xdb7abf14, 0x6fdf7056, 0xd5d74e26, 0x71e381b8, 0xeef82d5c, 0x471f292d,
+    0xdd584994, 0x2a67e6b4, 0x482dc438, 0xad891b1c, 0xba35841c, 0x0f8b9280, 0x60608713, 0x6713122d,
+    0xc114cbfa, 0x136539db, 0x0468afc9, 0xba4ed074, 0x46030c51, 0xe630b8cd, 0x9553dd5f, 0xbec7fb31,
+    0x758ba4e0, 0x6cf54f62, 0xe389efcb, 0x27a046dd, 0x4b7e368a, 0x9691a698, 0x6712f9e4, 0xcd7f61fc,
+    0x678592eb, 0xa6a8c14e, 0xcbbd2d79, 0xb5ff9fe9, 0x85c77a2c, 0x6c3ec807, 0x7a1f948d, 0x4d419e38,
+    0xe8227648, 0x2627c39f, 0xcf48f3e7, 0xed2e31a1, 0x5fa48d0e, 0xe2ef20d1, 0x4843aa02, 0x94277d27,
+    0x9c23be67, 0x2dab9270, 0x33e8a2cd, 0x66324462, 0x879e0c31, 0xb2164f19, 0xc524cd16, 0x44e92d76,
+    0x2f237bb7, 0xb8d8ea72, 0x0ba29bdb, 0xdac10633, 0xc588d0c4, 0x8b5d93d3, 0xd6451b77, 0xe19bf78d,
+    0xe87c7dbd, 0xd8320594, 0x179ac047, 0xc7ceec94, 0x2ef81a37, 0x61e381ac, 0xd5ad474b, 0x2d281293,
+    0xb5d7e801, 0x277b2740, 0xc882b170, 0x1d5fbc5f, 0x576b9278, 0xefc798af, 0x922c2ae5, 0xcdbb60ef,
+    0xae30f2d3, 0xd93c7a84, 0x6f0ae6ab, 0x4fb50c98, 0x7afc1692, 0xee473623, 0x6bbe108f, 0xc1e17cc0,
+    0x7f95e224, 0x5ef1a34d, 0x93a94813, 0x3fada541, 0x17886ac3, 0xbaac5f7f, 0xdd5807a5, 0xf78007c0,
+    0x354df167, 0xf542df51, 0xac0cc45f, 0x595f5642, 0xf7b3b5b7, 0x0fc75393, 0xd7bde365, 0x461ec3cf,
+    0x63d26028, 0x6ea6f4ae, 0xb6c70622, 0x34896ee4, 0x7124efc2, 0xb4857673, 0xae2d0156, 0xb398dd50,
+    0xfc8cdabc, 0x4b3fd9c0, 0x9ecdd8f2, 0xd0c18f87, 0x6ac36445, 0x6a8eb73c, 0x30971ad9, 0x7f72f568,
+    0xf71b2355, 0xf7f263b2, 0xb30d1436, 0xa9cf0f76, 0xabd9c2a4, 0x58875ae9, 0xefbac3a9, 0xa27fa126,
+    0x5fd6f891, 0x4d569ffe, 0x8fb48eb6, 0x1a1cbb60, 0xb907c605, 0x3a3cb5b1, 0x47f1057f, 0xd7a126d9,
+    0xc258db79, 0xf0e292c6, 0x7edb9802, 0xfb56c9fd, 0xd3cd49a5, 0xf4d150c1, 0x8c278450, 0xe40a6d86,
+    0x69c7bbf3, 0x31e1458e, 0x013e17ab, 0x5522bbe4, 0x7b3f8e8f, 0x8d590b49, 0xe9eed470, 0x194ef27e,
+    0xd5d3d8de, 0x4928e6aa, 0xcc733785, 0xaa025cc2, 0xc5b59aba, 0x7d351187, 0xce3085f3, 0x5e718cb8,
+    0xe857cbb6, 0xd7d2758a, 0xe34ae7d3, 0x005628e9, 0x9360ff6c, 0x8b8d89ac, 0xa733d002, 0xaea50981,
+    0x99bb422e, 0x91afbc81, 0xc5449513, 0x8cf863f2, 0xd43ab326, 0xbbc62e1b, 0x550e1c68, 0x1eae7de4,
+    0xda640ab0, 0xa8001f28, 0xa5a5ba19, 0x1e032c5b, 0x0a3fbc48, 0x4bd23380, 0x8965b4d1, 0x43e8e337,
+    0x8f048979, 0xb0cad91b, 0x84df2488, 0x881f82ff, 0x564264b6, 0x206ceac0, 0xd6b8cfdc, 0x9cb774d0,
+    0x9d6c2783, 0x1bb165ba, 0x51c3bace, 0x0c04cb12, 0xc02f4a66, 0x6325fcae, 0x4c49d914, 0xdd24e3f1,
+    0x85583b3c, 0x27cf2bf5, 0xafd729c4, 0xea87c3ac, 0xe235dfe8, 0x69385b08, 0xaad6f33e, 0x30ae6dfe,
+    0x295b5aa1, 0x512d40c3, 0x13c04124, 0xb0ee97d0, 0x6d2f697e, 0xb255744f, 0xb86ccb5c, 0xe10c604a,
+    0x0ab393e7, 0xbe59d391, 0x9abe675a, 0xfb34791a, 0xd66e7790, 0xb04ce9be, 0x9f740bd0, 0x382241d9,
+    0x8d713927, 0x6542f575, 0x7fb86a2b, 0x6d4028e1, 0x2b9a5829, 0x497a0932, 0x8316122f, 0xd3d87523,
+    0x63acf41b, 0xd64fd275, 0xcdcf003e, 0xb98a3609, 0xc088ad06, 0xf629d2e6, 0x9d2b0abd, 0x8650995c,
+    0x83bf4728, 0x886ebc66, 0xaf0b82c0, 0xaeb25110, 0xea46e62a, 0x1a267a26, 0x56e84d49, 0x4a6acf0c,
+    0x72c77a82, 0xc8730e00, 0xb057d31f, 0xffc73168, 0xdae97cd6, 0x5caacdec, 0x9079151a, 0x0a72c275,
+    0x4acd3b59, 0xdd58c232, 0xf5e82f16, 0xcb80f181, 0x4bd08e25, 0x9ea9cc84, 0x3b0cb132, 0xb2df69ce,
+    0x66c5f8f0, 0xa556d802, 0x5f2a3f5c, 0x337459f3, 0x899322ad, 0x7d0299e7, 0x89b99737, 0x92ff8784,
+    0x63990442, 0x18a584eb, 0xd2f6c0e6, 0x9271c248, 0xa05a6466, 0x10be624a, 0x1f169bae, 0x6c4ec0dc,
+    0x8d740378, 0xaa789f88, 0x3ad2a337, 0x1dc722dd, 0x897420fe, 0xae62da24, 0xc56bb43e, 0x3aa5bf2f,
+    0xed7d1db9, 0xedc5c0ac, 0x04e2cdc7, 0xb3d46cac, 0xea248d10, 0x8479ed1a, 0x4b45c834, 0x2b3e6c9e,
+    0x00000000 }, /* 10**00000000000000000029073548971824275621972952315520181374145654427492722411259\
+                         60796722557152453591693304764202855054262243050086425064711734138406514458624 */
+  { 0x00000000,
+    0x40000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74,
+    0x8db56404, 0x173c2ce8, 0x33287ef4, 0xeea8f9d1, 0xf125f55b, 0x1d685eb0, 0xa1af7240, 0x2b2e52a5,
+    0x00000000,
+    0xb4cbaee8, 0xdd3e24ff, 0x48c4f0fa, 0x1b6dc4ab, 0xdd7b2bf0, 0xade92e19, 0x2f09922f, 0xa545d435,
+    0x956784fb, 0x305cbfa6, 0x3f76dc61, 0x47d6d25a, 0x2c85e381, 0x80da6c73, 0x5f0635e8, 0x9de9de78,
+    0xd337d212, 0x5e8f5231, 0xf4b89f6f, 0x2618c7c8, 0xbcff757f, 0x9830d664, 0x9cf30560, 0xb53138e4,
+    0xea149303, 0xfc804cdd, 0xe24d394c, 0xa0a63d81, 0x43232676, 0xef3c82c8, 0xd2914949, 0xcdc9e3bf,
+    0x7e394f57, 0xe77b03d7, 0xb5499a09, 0x35589203, 0xc7b13762, 0xcb406522, 0x8bef7417, 0x30a8d6a0,
+    0xd83f01b0, 0xc83bffcd, 0x467d09e0, 0x251bf983, 0xc72d761e, 0x0ad9ec5e, 0xb588aa17, 0x2a394b23,
+    0x2023dbbf, 0xae4c62b8, 0x0fc3f4ca, 0x3f8aacdb, 0xa9270156, 0x23446fd2, 0xf7a51ab3, 0xab7991c2,
+    0x4ce3a81b, 0x486cc53d, 0x9096fdca, 0x0c6348e4, 0x8167b165, 0xb2fa55c8, 0x9b5f4e5a, 0x5ed3e369,
+    0x083a0815, 0x457390d7, 0xfa267f6f, 0x70cdc02c, 0xe5a4b4dc, 0x17f43fd1, 0x59490f78, 0x845bbf88,
+    0x4e72e7f3, 0x32917838, 0x32850a6b, 0x30a6d5ba, 0xd9d98c90, 0x89c9677d, 0x9b4c8b5e, 0x6e414dfd,
+    0x76293ebd, 0xae89e5cc, 0x2ecfbad9, 0x16680556, 0xfa5d16fe, 0x346441ab, 0x0725edfe, 0xcb325f60,
+    0xcb24e34b, 0x4b725eb3, 0x72a29a5f, 0x06266f94, 0xd788748f, 0xe7c23998, 0x72593a07, 0xd4bc2012,
+    0x14977a07, 0x70f55dcf, 0xbba2725f, 0xef9a27fc, 0x129dd87d, 0xe42fd15b, 0x45469bac, 0x7aa4632d,
+    0x647d03f4, 0x90aa5f72, 0x1d2352e0, 0x06802f05, 0x71384b49, 0x74eaf81c, 0x154d164b, 0xae4351de,
+    0x3c4195c0, 0x9ad4da25, 0x7b11b017, 0xd6a20a38, 0xd3410d9d, 0x10282e0d, 0xbd199285, 0x8da09533,
+    0x80abb68f, 0xab6a5d78, 0x9d4de796, 0x36bfbdec, 0xf8e430aa, 0xdd200fb3, 0xc75e2056, 0x3fc6179e,
+    0x97c9d9a3, 0x388433fd, 0x15630a0b, 0xf69edbdd, 0xa1f85624, 0x2e1d8ea2, 0x64ccc402, 0x50ba49d9,
+    0xe4249502, 0x83a19ad3, 0x97539fc3, 0x914fccce, 0x26af84ff, 0x45e40358, 0xc0db41f9, 0x0b61ed07,
+    0xa6cd06e2, 0x74efae13, 0x1b723e4b, 0x2bc93b9f, 0x46111697, 0x96702b87, 0x72dc16e8, 0x3b87cb98,
+    0xec0d1d7b, 0xe58f1c1f, 0x88c8e81d, 0x43babfb9, 0x7f9dcdbe, 0x713b0b66, 0x03f62f45, 0xa40e7dab,
+    0x5b5a799d, 0x4d655548, 0x7ca1deae, 0xf55ff84a, 0xa898772c, 0x1b82b47d, 0xde2c23a7, 0x255d220b,
+    0xa6458b86, 0xb2d249ef, 0x46463586, 0x0ec3011e, 0xec8f626e, 0xd6d36f64, 0x3a2138fc, 0x85d9ba48,
+    0x634929b8, 0x29fe1af9, 0x3e641881, 0x00a21f1e, 0xc5e8662e, 0xdba29a4b, 0x097e50b1, 0x63cf58e3,
+    0xb2e8697d, 0x80ed0619, 0x9be6756c, 0x68e3f6b5, 0x28f90d6e, 0x98c804f5, 0x9f8a52de, 0x6ef5c56a,
+    0x983326a8, 0xcdf360a5, 0xd7714bb6, 0xfc543af1, 0x1ea765ee, 0x92c88542, 0xc2b31179, 0xc640fa96,
+    0x03857337, 0x12756024, 0x7bea0806, 0x76e8d96a, 0x4e4bb04f, 0xfde4ae48, 0x89410d94, 0x85f4033d,
+    0xf4d35b70, 0x512b6abf, 0x7587037d, 0xaa453726, 0x3b721247, 0x4a43deab, 0xde2ad118, 0x4d4f125e,
+    0x8577322e, 0x3c4d5b45, 0x69f38277, 0xf4dad408, 0x29f9bcf6, 0xa76f1db6, 0xde0354ba, 0x1d4e36f4,
+    0xb0cfc10a, 0x10a0bf65, 0xd7399e69, 0xc2f7a04a, 0x615d4d5b, 0xa22114b6, 0xb5dc754a, 0xff9b1c78,
+    0x43d82902, 0x4ad5ad0b, 0x8fbefbf7, 0x79617440, 0xfd6528db, 0xd58a5703, 0xbb51bb15, 0x68e81bfd,
+    0x53e4dce4, 0x46434340, 0x9fa88434, 0x9645b774, 0xd2db8caa, 0x9b0c205c, 0x9916c14d, 0xebef1d52,
+    0xe1d59077, 0xcc978586, 0xba5265c8, 0x2ccb4f79, 0xb2a7e885, 0x7cc74ce2, 0xbc8547dc, 0x08218685,
+    0x893fa0b4, 0x012f8eac, 0x96654d05, 0xfff92551, 0x4f515afb, 0x55ebd57f, 0x8eb30513, 0x2f552531,
+    0x53f3830f, 0xdbac699f, 0x0dd360e4, 0x28b120a5, 0x3f2cb627, 0x5e2447d2, 0x095ff489, 0xb98a02ae,
+    0x20442e29, 0x55bff896, 0xf6770520, 0x8407a93f, 0xc206524d, 0x51534ef6, 0x50c9447c, 0xe72219bf,
+    0x2e646fce, 0x7175e72c, 0xbd8d79bd, 0x0e4840e1, 0x07939722, 0x53147544, 0x74b106ea, 0xfd097a6c,
+    0x67be0113, 0x8a395d40, 0x891dfb0e, 0x3b5e9799, 0x5a6800ba, 0x1da5ac74, 0x04e985a5, 0x50c291e2,
+    0x70be59d6, 0x6701bb2f, 0xefd3ba0f, 0xe70c07ec, 0xd84166a3, 0xb837fe50, 0x2fbf82db, 0xdfd9bbb5,
+    0x0c52d271, 0xa37646f9, 0x188287bc, 0x75efefcf, 0x0bb59fe5, 0x6b1e1cdb, 0x1b7089cb, 0x7e90245b,
+    0xead7e8f7, 0xae622c72, 0x79ed5ecf, 0xd1ad0938, 0x683987be, 0xcead0143, 0x3cdbc62e, 0xbaba839b,
+    0xef8b85a9, 0x5c6a27bd, 0xdbc1c147, 0xd5167e77, 0x2dfcba9c, 0x167ca05d, 0xe6c394d1, 0x35b3bef4,
+    0xdbe9f47c, 0x2bdfa3a6, 0xe5326de4, 0x70ebf1a0, 0xfa30ab64, 0x9dcf5822, 0xd0c9a516, 0xd48e5160,
+    0x78cf95a9, 0xf89f3fb8, 0x93ce6375, 0x55bcf939, 0x797e22da, 0x626e129c, 0x14ed072b, 0x0a3b5e3c,
+    0x66181593, 0xe62fc899, 0x9f9d2f91, 0xc178b713, 0x9711594a, 0xb5c71c32, 0xfb69f288, 0x1238c5af,
+    0x49aebc41, 0x66489128, 0x11c46388, 0xc13273c3, 0x107a76a4, 0xb2d6efa9, 0x82c2a6b0, 0x322c02cb,
+    0x7744bd1c, 0x9ed85460, 0x777ee387, 0x5077c2c9, 0xa8389edf, 0x93498892, 0xca9e6d9e, 0xa600d3ff,
+    0x8f491237, 0x17989122, 0x06d3b73c, 0xf9bcf7e0, 0x64bdc330, 0x78881204, 0xc07932c1, 0xb5786925,
+    0xba9e1053, 0x8e4805b3, 0xaa2eea6d, 0xa2043abd, 0x30cda70e, 0x106993ea, 0x1b30e7f9, 0x501d0939,
+    0xd5b285ff, 0x455a16d3, 0x33f7f57a, 0x9f240014, 0x93f9f597, 0xa1235936, 0x1b1a4200, 0xbfd8e6fe,
+    0x2d0d29eb, 0xee9dd031, 0x70f05472, 0x04a8b642, 0x3d17016a, 0x133275d7, 0x212e1bbc, 0x8309723e,
+    0xa99520b7, 0x2a4bf1ca, 0x69c3bdd7, 0x9f879ff4, 0x58a15f08, 0xf0ac45bd, 0x19473809, 0x11327245,
+    0xbede7c13, 0x5bbb7aba, 0x1cdb8b14, 0xf2de2d50, 0x4099c487, 0xfc26ab28, 0xc622ea56, 0x5bae68cf,
+    0xbb8e6215, 0x79af620e, 0x26d7cf2b, 0x41051edb, 0x466aaa90, 0xba368c40, 0xe3644f2e, 0x8809d3f6,
+    0x137730b0, 0x53a13e8b, 0x95049b57, 0xcf1bb72c, 0x69a093d5, 0x965ae2b5, 0x94247992, 0x362dc6c2,
+    0x1a1ba69e, 0x5c774f57, 0xf5e43cc4, 0xc36cc23d, 0x85182a33, 0x9a94d42b, 0x5838eea3, 0xe37890eb,
+    0x69169862, 0xc550e0e2, 0xcb3e537a, 0xa3cf43c1, 0x88f1fed5, 0x8a9d8dc2, 0x04d285ea, 0x469c9ae6,
+    0xc72999dc, 0x90cba2f7, 0xa97370a2, 0xf0181254, 0xb0b0e3f2, 0x6e07c3d5, 0xb8173fd6, 0xc89b5c1a,
+    0x0e8aae69, 0x0a9af5cb, 0x884eb04e, 0xc16692d0, 0x9ce9b60e, 0xfa4274b1, 0x656402a2, 0x48f53ecc,
+    0xf534ee35, 0x945128de, 0x19b3f7ec, 0xf4ca4452, 0xb6c81cc2, 0xf965f1aa, 0xc7c337b0, 0x2038f6f8,
+    0x6c5dcd77, 0xaf9240cb, 0x7f0d5a5f, 0x8dd77419, 0xd4fa53af, 0x508281eb, 0xfa822367, 0xdcc2510a,
+    0x296078aa, 0x30a631fc, 0xd3e632e3, 0xe7d9cf45, 0x16836181, 0xa5033165, 0x906ee042, 0xa19a5906,
+    0x5321c759, 0x03f011cd, 0x187870fb, 0xa97029d1, 0x5ceb1a77, 0xde37459c, 0x353e04e1, 0x9246fb77,
+    0xd1ce362a, 0xce862ebb, 0xa151bc83, 0x6cdf2ad5, 0xd2f7c1d8, 0x4928a6eb, 0x34af07c5, 0x26229626,
+    0x70463eb0, 0xbdff2efc, 0xc6ec3d9d, 0x0add0c95, 0x52e4217f, 0x1d5e244f, 0xad326b63, 0x181a76a1,
+    0xab69017f, 0x69624e5f, 0x2636c666, 0x81415f2e, 0x32dbf9fa, 0xc13182fa, 0x661af5c7, 0x85f7f8d9,
+    0xaacc776f, 0xff6536d2, 0xa2fe8bcb, 0x8f9c3ba0, 0x9f8d6020, 0x5318ccdc, 0xaaf1e489, 0x4634164a,
+    0x35c9c1b7, 0x3a742caf, 0x39b17c39, 0x1d627453, 0xfab508b6, 0x3704aadf, 0xdde15fac, 0x03d076f1,
+    0xf1ec26b5, 0xd337b7ac, 0x245fc1a9, 0xbe3cd578, 0xb1029417, 0x9b5df8b4, 0x128b87da, 0x15ac679d,
+    0xf68a9c51, 0x6a0086b2, 0x90a752c0, 0x626a5db3, 0x2d275e24, 0x8282ca11, 0x06909475, 0x26983f80,
+    0xfd24639f, 0x33746718, 0x746f5993, 0xd72ffc8c, 0x81118cf3, 0xb0e294a7, 0xb2e97597, 0xac7885c3,
+    0x5619608f, 0x5d0c8ea8, 0x093b1c0b, 0x189e75e2, 0x969d15c2, 0x09819b48, 0x00ee3750, 0xe2e15e78,
+    0x814b7a4b, 0xfe19d166, 0x15d0c186, 0x88356c39, 0xd616ffda, 0x9bb32e90, 0x075b2c3e, 0xc9f07bbe,
+    0x0dc67eaf, 0xac560f6c, 0xa4b5c14b, 0x286ec8fc, 0xcad0e825, 0x513f695d, 0xdd1d98f9, 0x5d5e28c7,
+    0xfed7393f, 0x18c33b27, 0x9aea9130, 0xd6524de1, 0xaeeba1a7, 0x25a67015, 0xf4eebb29, 0x59a9518e,
+    0x5752a64c, 0xd3f20b0f, 0x4389b73f, 0xd36c4452, 0x21b0a44c, 0x9add86cc, 0xfcc230ac, 0xb8c8f0c3,
+    0x039182e5, 0xa0084743, 0xbc678450, 0x09a64969, 0x45a18ed9, 0xa74d28d8, 0x285126d4, 0x800b3cfd,
+    0x5ce22e5c, 0x6c5a8a8c, 0xdd4d7435, 0xdd6924d3, 0x91b9ba60, 0x10fbef5d, 0xeff6f2d3, 0x118a1b2f,
+    0x440b2798, 0xefc5893d, 0x0c3fa8bf, 0xa81cecd6, 0xd9465e0f, 0x6dc2bd99, 0xf2b5dafc, 0xf1d4ff7f,
+    0xb9b84163, 0x20b57970, 0xb3504a90, 0x09294bdb, 0x6fcabf5e, 0xf00f6545, 0x06aa86c1, 0x5eddca09,
+    0x2ff5b666, 0xc22baa04, 0x7df9cc7a, 0x3ef66358, 0x7dcc27d8, 0x5a5f4973, 0x4f337c15, 0x08cd0c2e,
+    0xe534de3d, 0x96916b75, 0xb9cd417c, 0xe5153c75, 0x7dc05f61, 0xed25b28a, 0x1984dd69, 0x2128c0f1,
+    0xf19401d9, 0x0bd68fc8, 0xa1dd08be, 0x02daf74b, 0x23bee011, 0x98630953, 0x111228cb, 0x4263288e,
+    0x373d92e1, 0x6e23feb0, 0xf1c3d72c, 0xf8c3d8d1, 0x275e8237, 0x985f2af9, 0x70d78599, 0xf92ebaff,
+    0x8a291c8c, 0x597e7126, 0x3d6b1d41, 0x41865c8f, 0xed438cd5, 0x80efd65e, 0xb39ed2b1, 0xe009281d,
+    0xa8ad2d80, 0x016638a1, 0xdefffc80, 0x7ef20e87, 0x230a16a9, 0x034ab46d, 0xfd0e61fc, 0x6e587635,
+    0xa5874efe, 0x91f1f7b3, 0xc6f71c2e, 0xdea92bc8, 0x5a7d9f89, 0xbc979eb8, 0x743b8878, 0xc1b6b929,
+    0x189fc5fc, 0xe3e53db1, 0x78c77445, 0xb02e86d9, 0xa5798075, 0xead7f248, 0x14b59b03, 0x9f00fde4,
+    0x99d4cc43, 0xa96bec82, 0x79632f13, 0xdfb557a5, 0x6150eb03, 0xcca6dafd, 0x21cf7bad, 0xd87b3a52,
+    0x421b4ec1, 0x26492846, 0x848bca27, 0x399133fd, 0x78d7b0b3, 0x84f7dc06, 0xb68be2e7, 0x1fa3d16a,
+    0x68890c2c, 0x840407ec, 0xc9ca5d7f, 0xd0cdf15f, 0x6ad2b3a2, 0xf8cdbbfd, 0xc27548b5, 0x6093f019,
+    0x58c5c472, 0x76ea896e, 0xfe5687c1, 0x5aac09bb, 0x398dc90e, 0x0cb8ecc7, 0xfed6b21b, 0xb1369fb2,
+    0x708b0f24, 0x076294bc, 0xa9d82eee, 0x908492c0, 0x1f8bb75c, 0xc48c8638, 0xbf8abc39, 0xf173b127,
+    0x577918e8, 0x27219b9b, 0x6cde0194, 0xc13561d9, 0xbafe9ea6, 0x7f2ead05, 0x8cfe094a, 0x9d285d04,
+    0xbc9523a6, 0x9f1b7fd3, 0x3cfa921a, 0x126fb6ea, 0x6e5fe68c, 0x76f3dbce, 0xaeb270c2, 0x297a8569,
+    0x902b44be, 0x0a1bb988, 0x1658dc30, 0x9ac98bae, 0x19f63cdb, 0x2b4d2c9d, 0x9441a2c6, 0x41e424a0,
+    0x0c06f3e9, 0xaa80a3bb, 0x6c065a9a, 0xf3fbe172, 0x81b99eaa, 0x267389a7, 0xf45aea06, 0x65e1654e,
+    0x86695ea9, 0x49bc0e88, 0xde704a46, 0x465f28be, 0x93d7a860, 0xa3f1512c, 0xda70fcb2, 0x89242721,
+    0x50fc2321, 0x941dfede, 0x3d087a9d, 0xb9fe680a, 0x31f5cd1a, 0x66200010, 0xe57760f5, 0x10b4fb81,
+    0x5c5e2705, 0x7cab191d, 0x49517542, 0x7bf133a8, 0x5e55a665, 0x1e4e78b3, 0x6d2b1591, 0x94a79910,
+    0x69fd9dd8, 0x804a98c9, 0xd2ac2fe9, 0x2a373024, 0xc1a06b00, 0xe347a37b, 0xa68c4378, 0x8b111390,
+    0x925cf7eb, 0xf9f5dc9b, 0xc818459b, 0x8d8bb937, 0xe720c72e, 0xec18a67b, 0x88670971, 0x77af68cb,
+    0x28a3c776, 0xb76012ec, 0x330f5f8c, 0x2bbb2fb5, 0xccaa2dbb, 0x2c7f6a6d, 0x5cc4d2cc, 0xd02cbce6,
+    0x177cbecc, 0xece082d0, 0x6656aca3, 0x12169a9b, 0xed1faa49, 0xf4271d26, 0xa2d35aa0, 0x8d9012c9,
+    0xc5834f99, 0xea9f46af, 0xa6076fe6, 0x21b42991, 0xcd810772, 0x6ed631c1, 0xdf90e18a, 0xd5ffc1de,
+    0x54bbeea8, 0x5b298290, 0xc47c581f, 0x934a539e, 0xc1d9eef6, 0x14b2ec52, 0xa518d521, 0xe5ed5c92,
+    0xfc5dfdb8, 0x24bea3d0, 0x554b8007, 0x1fad6bdf, 0x2234dddb, 0xe2c8b20e, 0xed658451, 0x36f7ecf2,
+    0xb87e9f09, 0xeca70ab8, 0x9959182e, 0xc97fed96, 0x31b304c9, 0xf55a0ca8, 0xf57d71e1, 0x8740f139,
+    0x8e6f3575, 0xef76ccda, 0x98146bd1, 0xd9546179, 0x9fbef042, 0xe1965ad7, 0x545a7437, 0x2e5e6709,
+    0xab75a276, 0x5153c501, 0xc8e4aef7, 0xbf2860ef, 0xc243bebd, 0x8b4a4552, 0x030094a5, 0x4e8464a6,
+    0xfa6dbd5a, 0x717dc907, 0x693fc76d, 0xc295aa0a, 0xc29562e7, 0x97d5e1ba, 0xf4b07d49, 0xa773adc0,
+    0x25ac4a24, 0x15f45c3c, 0x2a94edc4, 0x61104374, 0xf0fbfe1f, 0x1b0da897, 0xa84a20b0, 0xae1f6ca6,
+    0xb3fc25cd, 0x9418b8a9, 0xb5c09b97, 0x77753001, 0x369610ea, 0x9fd2a546, 0x8cbf57d1, 0x8db8c80e,
+    0x07673089, 0x4951ad91, 0x22b2e9cf, 0x04f197e8, 0x90b76441, 0x314c8a6b, 0x76dee091, 0x5a0891aa,
+    0xbff57b40, 0x5a10be8e, 0xb227bc87, 0x2086ca7e, 0xa9bdd0b5, 0x30abe762, 0xe1a284dd, 0xa05465f5,
+    0x0e3d3e5b, 0xeb8226c5, 0x45eea4a2, 0x983c2ff0, 0x4811edf6, 0xe2e52b7c, 0x1452376d, 0x9ee9a4c6,
+    0x7417b046, 0x5d8d7aeb, 0x6ef3c6db, 0x2ce83e32, 0xdc78d7b9, 0x01791936, 0x2d4e15d1, 0x8aef5e52,
+    0x3be0912a, 0xbb0c1eb7, 0x21a1e870, 0x22bc68f6, 0x1e9c77ca, 0x381d14f8, 0x869d82c2, 0x09ed7eb4,
+    0xa006831d, 0xe51aab74, 0x57bb7deb, 0xbd3337cf, 0xf8d9d10e, 0x5a914d28, 0x3d067464, 0x72e4bf8f,
+    0x637517d5, 0x5a03ce94, 0x3eb101be, 0x55793d67, 0x4f131f47, 0x31435195, 0x7ea6d6a5, 0x32026b0d,
+    0x603eed86, 0x3deb8d35, 0x1fb24b2f, 0x22fe9a1b, 0xbd98c959, 0xca98ff98, 0xb7204e83, 0x1ad1f525,
+    0x99d1e6df, 0x27848b2a, 0x7e66753a, 0x9d07d7dc, 0x2f6b3d1b, 0x80c9fc45, 0x77d81d5e, 0x8b10dd79,
+    0x9eb5d10f, 0x948f7aee, 0x7dae4225, 0xebcab77a, 0xb7350a8d, 0x7847f7fa, 0xaae1e5e6, 0xea653aa6,
+    0x96655795, 0x0fdbce78, 0x828d1769, 0x14c994c2, 0x3c6825f1, 0x34878436, 0x3b25a466, 0x176712ab,
+    0xfcc22cec, 0x699cdc08, 0xa5162095, 0x60352920, 0x7c164926, 0x0904e86d, 0x9a281068, 0x51cc51ac,
+    0xb820936d, 0x135c2209, 0xa2e3895b, 0xbe159f0b, 0x4c6700aa, 0x59290d9d, 0xd5d5ea5d, 0x686a1a89,
+    0x757f9bd2, 0x94e50cc5, 0xd584b603, 0x5c135efb, 0x941c0d0b, 0xacd21c8f, 0x14431363, 0x53b51702,
+    0x00000000 }, /* 10**00000000000000000014536774485912137810986476157760090687072827213746361205629\
+                         80398361278576226795846652382101427527131121525043212532355867069203257229312 */
+  { 0x00000000,
+    0x40000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a,
+    0x46dab202, 0x0b9e1674, 0x19943f7a, 0x77547ce8, 0xf892faad, 0x8eb42f58, 0x50d7b920, 0x15972952,
+    0x00000000,
+    0x981fda84, 0xde3ee4e0, 0xf7d2a284, 0xabec7ea8, 0xdfd33adc, 0xb7084553, 0x56f45b09, 0x0ecf9416,
+    0xf41b35ac, 0xf8cf00f2, 0x786d9f7d, 0x668ef377, 0x1622b341, 0x056c1d65, 0xc3a1ec65, 0xf245cc67,
+    0x627b34e5, 0xd0051ded, 0xe62cb0e0, 0x08c85693, 0xfcddc793, 0x6daea7e3, 0x2814b7d8, 0x38b74124,
+    0x46cad223, 0x5f483792, 0x64600a17, 0x04326e27, 0x8b8aab68, 0xa2a2a747, 0x4403d706, 0xa56f6f65,
+    0x0713ae46, 0x4fa07172, 0xd537f44d, 0xf786950b, 0xfd48aeb8, 0x6e2043bb, 0x367fc7ce, 0x21e3e61d,
+    0x868536ca, 0xd6a972c9, 0x650db189, 0xf20fa646, 0x654fc816, 0xfdf799ef, 0x4debfd0a, 0xc7baa059,
+    0x0e1c72ff, 0x17e5258b, 0xcac85678, 0x4452c657, 0xbf6aa3e6, 0xe2a12e03, 0xd7c9f94f, 0xd16a769b,
+    0x5b2d9085, 0xad10897b, 0xe83d892e, 0x95bb9cf3, 0xfdb7e1c6, 0x002bc1a3, 0x9295e7c4, 0xabedc8d6,
+    0xb0e26a75, 0x506a50db, 0xcd0d7af5, 0x04628740, 0x85517249, 0x24dc32e5, 0xcec483ea, 0x4c6366e4,
+    0x900b246a, 0x4ba147c6, 0x70522172, 0x1d22623b, 0x2ad6f8a5, 0x242e71eb, 0x8e6ade84, 0x5d6b6a8e,
+    0x21a884c0, 0x6ffb4e7d, 0x17a9699a, 0x344a5e76, 0xdb1e6c06, 0xa4e1724d, 0x1b51a0b4, 0xb92eed5f,
+    0xb643ded3, 0xb72b129b, 0x0ea76591, 0x1b956838, 0xa9dee907, 0xe31892d4, 0xb25bfe1c, 0xaa17c14f,
+    0xc0a44171, 0x5a85fc89, 0xb761229b, 0x9c3eb161, 0xc8076c87, 0x6297936d, 0x370e75db, 0xa9a7eb64,
+    0x601e2767, 0xdab85653, 0xcb67a3b7, 0xd316d9e6, 0x224e51b8, 0x2431c0d5, 0x6c9b095f, 0x116dc1f3,
+    0x9cf3a36d, 0x5105e7e3, 0x2403c304, 0xd90b8c5f, 0xcb72a3d8, 0x04213b09, 0xb017bc06, 0x9392372b,
+    0x842bc7bd, 0x69c16c19, 0x91622b11, 0x35eb8b98, 0x26cc0d9f, 0x3f1c419e, 0x6cf4c2da, 0xbe98a06e,
+    0x572762e1, 0xe07ffb2a, 0xdf54c08a, 0x59b33374, 0x81bfe455, 0x22eb62e2, 0x11019f27, 0xdf6578b4,
+    0xb117fa79, 0xe4be35dc, 0x955d55a5, 0x60ddc062, 0x30ac81a7, 0xe2e1aef5, 0x09e41acd, 0xf7f45a68,
+    0x680c2857, 0x8f7b0ac7, 0xe6aa6089, 0xf062c96e, 0xecdf749f, 0x9152f235, 0x1bf0c3d8, 0x291674e5,
+    0x37484f57, 0x70668655, 0x3e95f580, 0xdd7efa85, 0xd24dbeeb, 0xd1d209e8, 0x41668a0c, 0x387884d7,
+    0xa970ee47, 0xf2da88c3, 0xeac147a1, 0xff81947f, 0x64d71ba2, 0xe041f21c, 0x49d5f3be, 0x1e72842b,
+    0x220f69a8, 0xfd536a30, 0xd8fca578, 0x29440ba9, 0x9a058c7a, 0x9f1d8b2a, 0xc37d1a7e, 0x0fdeb33b,
+    0xeaf80d71, 0xddba43bc, 0x39d9e025, 0x716471d4, 0x59a541a6, 0xc740e88f, 0xdc0bae71, 0xcfbbd898,
+    0x7a77dac6, 0x0a4a47a4, 0x93275f28, 0x0fa149a8, 0x2418dce4, 0x317a8387, 0x073bbc06, 0xf3ad40ed,
+    0xb6035d02, 0x7742ce1d, 0x5820d612, 0x8e420e51, 0x63840001, 0x43facc2e, 0x00ab5d73, 0x8afc4b58,
+    0xcaa8609a, 0xdbb02144, 0xf6d697c4, 0x8ba15cbe, 0x6a4b699f, 0x29bf5112, 0xb14ed607, 0xe5249811,
+    0xf9c5ba2f, 0xded9fe82, 0x03df2d5d, 0xb8b35454, 0x86b4138f, 0x322caa20, 0xcac4fd92, 0x8dcd6582,
+    0x53775430, 0xf7f35030, 0xc23aa5d4, 0x5346cffc, 0x0e0a8770, 0x13ebe27b, 0xe8af2f69, 0x5ce6cbeb,
+    0xce7afa9c, 0xd94f3daf, 0x5c11af60, 0xd3345efa, 0x08202311, 0x2c60fe09, 0xcd80a554, 0x75d8f2e5,
+    0x4ed6f400, 0x4f6be94b, 0x7324fbb3, 0xf284f796, 0xd90f8c9e, 0xc5d4ffc0, 0x40fbcc17, 0x38b01b7a,
+    0x7a7a02bf, 0x33805929, 0x0afe5ab6, 0xff23f075, 0x2f1124ab, 0xf93d8fe9, 0x10d4157d, 0x9f233658,
+    0x2c3e023b, 0x6f137d47, 0x62982cc7, 0xfdd0f154, 0x025ee411, 0xecc2fdc9, 0xe27a6adc, 0xd78ccfeb,
+    0x6c00d0db, 0x1b5fbbe9, 0x9f09e532, 0x367ca017, 0xe15d251f, 0xfec5b62d, 0xea262b0a, 0x85c2f9dc,
+    0xe29782a3, 0x7f1daae2, 0x3099e0f3, 0x1b31eb82, 0xd8d7d84c, 0x40b22c5f, 0x721a0776, 0x9981a8b2,
+    0xdccb695d, 0xb54c0651, 0x7ee9839c, 0x6e2ba53a, 0x5fbf9481, 0xacf00592, 0x8e9fbc43, 0xcfde70b8,
+    0x81943937, 0x9ad1f58d, 0x75326da3, 0x1d762154, 0xa7c80224, 0xd7e9a600, 0xa2f2359e, 0x1801a17e,
+    0xc7607af8, 0xf26bd625, 0xf88d334e, 0xfc5e6806, 0xfe30487c, 0x721d65e5, 0xb65dbedc, 0x6dd66293,
+    0x68d0e6c2, 0x9009f7cc, 0x43f4a24d, 0x40706716, 0xc87a0312, 0x9ffbf304, 0x3ac3ce86, 0xacaac9c6,
+    0x82974ef4, 0xedfe99cb, 0x97ec5d66, 0x3ceb8744, 0x184d4be8, 0x5dcfcbfd, 0x9941d5d2, 0x14ca7905,
+    0x0b64c74b, 0xa0e69d2f, 0x2823f7d6, 0x2e70eb6e, 0x5784533d, 0xca9ad119, 0x6b6650c8, 0x20ec6e39,
+    0x2ad0a672, 0x3c029a21, 0x12a95a50, 0xbc86a14b, 0xc7f90eae, 0xfb79b247, 0xd1fd0ce1, 0x4876d000,
+    0x2603ced7, 0xc3c3111e, 0xe4317b86, 0x2fc0b412, 0x94069926, 0x82f10c64, 0x42170ac4, 0x39dd25d3,
+    0x14efc976, 0xb9a22cc2, 0xec77ba98, 0x1b9a56e6, 0xa72ee246, 0x426bc9e0, 0x407854a5, 0xb7fe86fc,
+    0x3c682055, 0x34a0b769, 0x983a9971, 0x34539901, 0x9d3dfcf6, 0x7b7f56fe, 0x00a72f8e, 0xc56bcc11,
+    0x9d4c9021, 0x398bd9d6, 0xa6f7126f, 0xa6a069b5, 0xdac14590, 0xa1f22b6c, 0x4e403eec, 0x491dd679,
+    0x2a422d3e, 0x2adf8d18, 0xc646ca43, 0x4695056a, 0x90363d51, 0x7710d0ee, 0xd527b061, 0x4e074985,
+    0x2eb8c420, 0x22239e2d, 0xde8da611, 0x6ba93a5d, 0xf1d663a1, 0x1bc0437f, 0x06672af3, 0xcffb3198,
+    0x97f83477, 0xe3c1465a, 0x4cb6cbfb, 0x4f938ee7, 0xc6ffb027, 0xe61478a0, 0xbed36a56, 0x1a24e9d9,
+    0xbe13b716, 0xa1e8ea03, 0x47d129f7, 0x18f7391b, 0x8b9d9c3e, 0x43fe3638, 0xa1f826b0, 0x348ce887,
+    0x8c9e5432, 0xda34090a, 0x42fe31b2, 0x79a8e7f2, 0x8c209296, 0xa698f673, 0x3152c38f, 0xd1b5dea1,
+    0xcf9408f6, 0xcb96ebab, 0xd77cc55f, 0xcd4461f8, 0x14360824, 0xc2ea1876, 0xf6a239ba, 0xe0a90919,
+    0x18cf3bd9, 0xf807561f, 0xdc2e85cf, 0xf0dc0c8a, 0xda30bd74, 0x4be3313e, 0xd693094a, 0xd5ab8b62,
+    0x39c5d399, 0x5e7c8843, 0xa982b467, 0xf336a468, 0x2c3fe64e, 0x51801eec, 0x2c82d7bb, 0xf20e5f42,
+    0xdffa01f6, 0x53457dee, 0x9a958cb0, 0x39e52746, 0x08331c31, 0x6641fe4c, 0xfaa3e0c3, 0x5ba2820d,
+    0xab67f8bd, 0x0758fee4, 0x8baebd4f, 0xb67462a8, 0x52b231d2, 0xc58bc66f, 0x0136ae0f, 0xadccbe4b,
+    0x9209378a, 0xdd5a1f63, 0x43f5f61a, 0xb5dc8b08, 0xeeb84102, 0x2513853e, 0x64ce9b61, 0xa95ac46a,
+    0x5dc7c758, 0x4e495d55, 0x9eb41d13, 0xecb7d1a3, 0xc47a93f2, 0x7be2d4e8, 0x770c67a4, 0x025cb621,
+    0x5110dc68, 0xe9dd4322, 0x2b9a0564, 0x2ea59b43, 0x579e2cee, 0x51a65d3a, 0xa10d661c, 0xd52751bf,
+    0x5ec89c36, 0x27309200, 0x39ea0e13, 0xc4e67cde, 0xa1ef8f98, 0x2cc17132, 0x015e62ea, 0x5450a13c,
+    0x00f83a34, 0xfb31d849, 0x75cdb7e6, 0x612e2d6f, 0xcbffd8db, 0xa70c2258, 0x11261672, 0x501d14a7,
+    0xee07d7a0, 0x27390e11, 0x5aeaa70d, 0xc1bfeca6, 0xee43da26, 0xb90f34e8, 0xe1c4b760, 0x96148298,
+    0x3b315147, 0x5c7bef1d, 0xe3b82f9e, 0xb818c37a, 0xd7b04977, 0x576e8a54, 0xaedfd537, 0x5bd02724,
+    0x744b96cd, 0xab985f36, 0xd45bea35, 0xd661fc46, 0x8f9c1e48, 0xb0dc90e3, 0x5894ef30, 0xf2482e02,
+    0x4519e858, 0x911b7362, 0x1f0ebf45, 0x59d41740, 0x355fc55e, 0xf25cd613, 0xc5e0ad6c, 0xd9d2f9d5,
+    0x5b961d54, 0x1e048506, 0x459e34e0, 0x271a1b65, 0x6d3fc58d, 0xbf1079b0, 0xdf2ed838, 0x60208527,
+    0x019aa864, 0xd83d103e, 0xe6793700, 0x70203bee, 0x9f6065a4, 0x53ab60c0, 0x595daadb, 0xe24a5176,
+    0xc021c576, 0xb2842870, 0x0349a898, 0xbbc7c696, 0xeeef2720, 0x5d21f2c7, 0x62c566db, 0x06416bd0,
+    0x8640a870, 0x489bd3fa, 0xbe98d23d, 0x80699be6, 0x73d8ce0d, 0x3d4c54e8, 0x58134e1e, 0x06e10647,
+    0x5ac652e7, 0x0f0ec60b, 0x1beabd24, 0x23740b56, 0xdd28c2f2, 0x217facd6, 0xda948efe, 0x3fbfa307,
+    0xf00dc4aa, 0x757e75e6, 0x5a4eff3d, 0x4b4a449a, 0x19cd6daf, 0xaa8deb0f, 0x7fce46a3, 0x0e30b8bd,
+    0xff37ae6b, 0x28a9ff4f, 0x465fa143, 0x72fb2943, 0xf742927d, 0x20d5b573, 0x0f9ad6b2, 0x133be6cb,
+    0x94b7858c, 0x4c820501, 0x32e92b1a, 0x32a6c74e, 0x75971a42, 0x1116d510, 0x10114097, 0xe17e5a94,
+    0x4e7f29e4, 0xe9f7570b, 0x599c9586, 0xb5c75259, 0x27fd34b0, 0x272d4ae5, 0x9ff12f09, 0x0879ddd3,
+    0x2f0b0653, 0xeefedddd, 0x3ef86566, 0x31820b10, 0xf4a37a7e, 0xc7ab4124, 0xbcb8a444, 0x5a02b6f5,
+    0xc38deab2, 0xd4222929, 0xa9cd92b6, 0x072ea7c7, 0xf03d273d, 0x29ee84f1, 0x535ae02c, 0xd961266e,
+    0xc13e5697, 0x89a5d284, 0xb5f74dca, 0x8b9dac1e, 0x6cfe9f9e, 0x0b28e4c1, 0x0000bd5f, 0x6c30bb21,
+    0x1401afd6, 0x4a892ea3, 0x1c972391, 0xb85955b5, 0x7a89d785, 0xb9f819cc, 0x48cbf447, 0x33c041c4,
+    0xf048cc68, 0x1f8dfce0, 0x52173791, 0xbf1787f9, 0xc62c3ab9, 0x00942c82, 0x54cbe500, 0x99f0a77a,
+    0x23c30970, 0x3594a64e, 0xeb05ec27, 0xc9e07132, 0x975a050f, 0x1349373e, 0x159d66ff, 0xc24b8df3,
+    0x7f6f653a, 0x7ac720da, 0xcc62a6c4, 0xc3005365, 0xc5a33ce4, 0xb610978c, 0x0d45e889, 0x26dc8d7a,
+    0xdc3012d8, 0xd334bc1e, 0x1b3a6e22, 0xd4dd6ef7, 0x423017e8, 0x67e033f3, 0xd61cb6d9, 0x71a5b5ba,
+    0x08eb281a, 0x2cb51aec, 0x81c9d934, 0xfc2e9752, 0x52f1cf54, 0xc07cd7ad, 0xff1d41cc, 0x759cab79,
+    0xe219c5c6, 0x71034817, 0x37732875, 0xafd3ab3e, 0x2b9fc969, 0x7e668ed5, 0x3710712b, 0xe8909dcd,
+    0x258a81a0, 0x2e9bcc6b, 0xd047cb12, 0x11a0b4e0, 0xb98e97c9, 0xfb31d9f0, 0x31dc37ad, 0x40c25a6a,
+    0xcb3361de, 0x27f93a20, 0xbc43cceb, 0x243ef34c, 0xe96f3268, 0xba384b0b, 0x7f079c1c, 0x289f467d,
+    0x9cea7ddf, 0x978263eb, 0xb17b0347, 0xffe3f018, 0x06cbd68c, 0x9b100e69, 0x3850ea8a, 0x4d5911eb,
+    0x35878c2f, 0xff2c61bf, 0x7b2043e3, 0x63245868, 0xb845a109, 0x907a6d72, 0xeb30088d, 0x431e8bf4,
+    0x4511f26c, 0x764c4194, 0xd7842766, 0xffd294a4, 0x68a78383, 0xb9a73da5, 0xc29428a3, 0x889e49d4,
+    0x53c3032c, 0xbbcf19ed, 0x45887e75, 0x59efb6e5, 0x3c10b4f3, 0x9bfec99e, 0xf261cd04, 0xd362ce5e,
+    0x32129093, 0x5e6b692a, 0x733bacfe, 0x68586521, 0xde2b1f74, 0xed35dee4, 0xf77a0ebf, 0x55da6bde,
+    0xf2206925, 0xf427a973, 0xaf27f49a, 0x99d0432d, 0x91ac7ac5, 0x04304c09, 0x20df4237, 0xabe99962,
+    0xfdd1d843, 0x8b5cdd2d, 0x647f0e46, 0xbd33be32, 0x69db0835, 0xc9c95f89, 0x68e5e8b8, 0xba1d3bd4,
+    0x637f552b, 0xfee6a446, 0x2181074d, 0x8643594f, 0xe6e95b18, 0x4a2cf1e3, 0x86090d17, 0x0a007ff3,
+    0x9c946b1c, 0xd8033f20, 0x77af0489, 0xe2314cc5, 0x158be0fe, 0x7f1b9d49, 0xab1092c8, 0xd2e0afe7,
+    0x36ebfa0f, 0xa1c34499, 0xe174abc8, 0xac45873f, 0x25758cc7, 0xa1b45b09, 0x0e77f44c, 0x6ecbf566,
+    0x88b9384b, 0x243f4eec, 0xbae2553f, 0xc1c9d757, 0x59a1c058, 0x65e71c87, 0xa26efbbe, 0xa79ed95a,
+    0x3bc0db27, 0x01b02eda, 0xb2ed6f62, 0xd7d8bd2e, 0xe18f4c5e, 0x92ca91fd, 0xa8417cc1, 0x3b949efe,
+    0x43e54fcb, 0xfbd1c7cd, 0xaeace272, 0xe8d1ff08, 0xbcbaebf3, 0x117cccae, 0x2b5116bc, 0xb26a50e5,
+    0xb4666938, 0xc7af4540, 0xa6368120, 0x3883f949, 0xca0847f7, 0xabe2b7dc, 0x0f58c158, 0x9a0cf0ab,
+    0x3179d61a, 0xe5b5ec8d, 0x86e941b1, 0x2b156c97, 0x423d81d1, 0x2c805b57, 0xaffa2889, 0x735a5eba,
+    0x5f62ff58, 0x0b816a2c, 0xf9bf1972, 0xb06eb7e9, 0x176b97ee, 0xac565b01, 0xae79e7fc, 0x13313f3a,
+    0x3b5dba8e, 0x2de74f3b, 0x1e835058, 0xb3865de9, 0xa179cb6c, 0xb0c7cf3b, 0x0952eec3, 0xe5ef01d2,
+    0xb8228281, 0xdb37733d, 0x6d67eb8e, 0xeb075382, 0xaf136ab7, 0x4c528b53, 0x5f51b76d, 0x9cfda27b,
+    0x646bff06, 0xb39c8d02, 0x481aec62, 0x2310dae4, 0x7595d325, 0x92ac1285, 0xd6596e95, 0x6b27cea9,
+    0x84808774, 0x3ad20b7d, 0x2ba919e2, 0xe579f2ce, 0x4e09b7f7, 0x72aff7a6, 0x643b33c5, 0xffefebff,
+    0x30b88259, 0x15fc5be8, 0x746daa78, 0x1586dd33, 0x1f38e14c, 0xd0207624, 0x34419053, 0xe47837b6,
+    0xfca6a677, 0x4e24a65c, 0xb8a02f7e, 0x7936e840, 0x4f3ca5a7, 0x70a93845, 0x8b2de702, 0xfcda1a85,
+    0x74ed1641, 0x2e28dadc, 0xc8a6fb56, 0x0383f949, 0x1e6b63be, 0x8e84a37c, 0xdc75eb95, 0xe760225e,
+    0xba21e4f4, 0x0e20902d, 0xd2b04488, 0xf63957a9, 0xa7e7c7ac, 0xdb2dec2d, 0xfc4c946d, 0x936f3dfa,
+    0x6653f59f, 0x5fe0576c, 0xe2bcf798, 0xea9f5736, 0x9162ed7f, 0x04b14ca3, 0x0a87338e, 0x61fc6fc2,
+    0xd943e646, 0x0a0e30f6, 0x6b078e8c, 0xd3687e71, 0x4842d79c, 0xb57607ae, 0x979d2bbf, 0x6f76bb95,
+    0x9db08e8a, 0xa8f15eb8, 0x991a60b2, 0xda69b442, 0xd5c72b0b, 0xc45a33a6, 0x43510577, 0x70e31f50,
+    0x1f2deb8d, 0xb4e4a812, 0x4043cff2, 0x99b11eea, 0x26f92fa8, 0xfe952ae2, 0x1971b637, 0x1209f832,
+    0x6d9c0884, 0x46472de7, 0x2a0e0351, 0x88680ba0, 0xaca0f56a, 0x51de5064, 0x31be5c17, 0x531c0e4a,
+    0x0389d809, 0xebc2680d, 0x8ad6ecec, 0x11f94283, 0x67c5a421, 0x7eb50cfb, 0x69a09cea, 0x45a1d50f,
+    0xb5c8b721, 0x28443e85, 0xefc55d4d, 0xc68e62ad, 0x823f31fb, 0xae3ad33e, 0x635cd2c6, 0x4a8dc154,
+    0x58a64d63, 0xb7cf8175, 0xd9967c14, 0x0b7816c5, 0x67252c24, 0x78935d4d, 0x2dda8bb4, 0xcf7ef6b3,
+    0x53b0bb3d, 0x59c36109, 0x7c80024a, 0x52344d72, 0xda739c01, 0x5b2bc5af, 0x06f0b31e, 0x86637167,
+    0x68f9e926, 0xc6b120cc, 0xa39e4a75, 0x82f9f123, 0x9194269c, 0x32ea2687, 0x05f8f068, 0x6fedc332,
+    0x35445c78, 0xd51d8925, 0xc2ed645c, 0xde37e99e, 0xc24b4e8e, 0x48323cfa, 0xb872009b, 0x648c3960,
+    0xe85c824a, 0xa78d4d91, 0xa7dcbb9b, 0xa3bdf94e, 0x2155fc69, 0xe6acfd66, 0x7a59d42a, 0xfaf3aba5,
+    0x677a245b, 0x01961391, 0xf3d76d7a, 0x05970764, 0xae1d0423, 0x3b8fd649, 0x42e077e4, 0xe7372676,
+    0x8abb230f, 0xd54b5b18, 0xc2bfdb35, 0xfaa6af78, 0x84f538ce, 0xb439a794, 0x81b78c04, 0xfa4523bf,
+    0xc5f91b02, 0xa7baca08, 0xb9319e12, 0x5cd94b6c, 0x3e45ff7c, 0x583442eb, 0x0536c23a, 0xbd2a608b,
+    0xb284f233, 0x7ca9378e, 0xb744a387, 0xfec2e217, 0x4f8e906a, 0x53fd92b0, 0x20cb5df5, 0x854cd0bc,
+    0x61e45856, 0xdb5bf476, 0x1cac3ce4, 0x5fd1004f, 0xe87f2e93, 0xbb3be259, 0x34bff17e, 0xc98700ee,
+    0x00000000 }, /* 10**00000000000000000007268387242956068905493238078880045343536413606873180602814\
+                         90199180639288113397923326191050713763565560762521606266177933534601628614656 */
+  { 0x00000000,
+    0x40000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d,
+    0x236d5901, 0x05cf0b3a, 0x0cca1fbd, 0x3baa3e74, 0x7c497d56, 0xc75a17ac, 0x286bdc90, 0x0acb94a8,
+    0x00000000,
+    0xc5578b6c, 0x61e1c7a0, 0xb9be133b, 0xe02b934e, 0x8c8c1cba, 0x6eca24d6, 0x962560f4, 0x2c5bcfff,
+    0x0afccba1, 0xebae1cff, 0x8b533353, 0xe2794586, 0x196d4fec, 0xfe906159, 0xb9d4addd, 0x4292bf26,
+    0x06ebb433, 0xad7e255d, 0x7728c067, 0xb05175f1, 0xa52932ba, 0x82bf3751, 0x8c9c4d9a, 0x29150d98,
+    0x55f557b6, 0xe13743e7, 0x53ecb38d, 0x5a635ba1, 0x35ed0ebe, 0xcefd3c61, 0x00485794, 0xfe469e24,
+    0x13a84b15, 0x3789abe5, 0x718855cc, 0xfe5ee6ad, 0x1fd0ddc9, 0x903bb9b5, 0x569ceb86, 0x1e13c22c,
+    0x502bf04a, 0x633a0316, 0x707a562c, 0x68d3d7ee, 0xeb9ba6a6, 0x384a0244, 0x9f58871a, 0x9076d880,
+    0xbd7813e0, 0x09afb183, 0x45b9aeeb, 0x8f4f13ca, 0x6f0e6ce9, 0x85d59c9f, 0xf6e9b0b2, 0x509c6760,
+    0x46ccd3a5, 0xcf72f2b5, 0x6d14ae5e, 0xc6c4fb18, 0x990e1dda, 0x5c6f4bfa, 0xcb279c71, 0x0303a6f8,
+    0x15912aaa, 0x923b5e86, 0x1fc1bf31, 0x4e19b889, 0xd77f253f, 0x34c12ad0, 0x269fcff5, 0x6cedf0d8,
+    0x676ef8d2, 0x0d51aec2, 0x4c75a450, 0x86d065c8, 0xf8373852, 0x775fde00, 0xaeac06a3, 0x2024848e,
+    0x1a944a6d, 0x8b08640b, 0x491e5273, 0xfd88fe49, 0xfc3bb2e7, 0x393d83a1, 0x72f8b26b, 0x8c58a23a,
+    0x37035e4d, 0xb5fdaeb0, 0xbdbc5078, 0xbaf5fc83, 0xceaa15a4, 0x8e1f4fd3, 0xf1e838aa, 0x8f982ab9,
+    0x42402d91, 0x22f8beda, 0x08a381a3, 0x77a477bd, 0xac9dd4cb, 0x6a803abc, 0x515b769c, 0x1922c556,
+    0x1c2655f7, 0x0d699221, 0x828231e4, 0x7c8f088c, 0xb3766626, 0x52cb681c, 0x456cb43b, 0x09be03bc,
+    0x0ce749c0, 0xf6cf332e, 0xc52dcc5b, 0xddced3db, 0xaefe079f, 0x321b00ac, 0x2521b175, 0x8c4a0f4d,
+    0xfb3b212e, 0x80ef7175, 0xe41abb0f, 0x42d419e4, 0xcabd0983, 0xceec4f76, 0x7ec6d6ae, 0x41106694,
+    0xe7d17d4c, 0xea396eaf, 0x6b830200, 0x2d5b676c, 0xbfa3a891, 0x19ce1574, 0x47d404c0, 0x249d38f8,
+    0x0a594262, 0xf8611c46, 0x93c41463, 0xec94f543, 0x873a748f, 0xe16b8e2e, 0x526f1e18, 0xf277e5ca,
+    0x7d3e5232, 0x5a11d497, 0x5476a40a, 0xbc7285b3, 0x423cbdb1, 0x69122bac, 0xba23f45d, 0xcc1905a0,
+    0x2d4d1d9b, 0xa43964a2, 0xd2d7cd7e, 0xd5935836, 0x54a07e77, 0x91956aa6, 0x476e640f, 0x6ed2494c,
+    0x3d139331, 0x91e2e807, 0x6e29b5f8, 0xabca6aa5, 0xf7019546, 0xc3458d4f, 0x212660fa, 0x63733eb8,
+    0x72642108, 0xf9e6e53f, 0x28c66bdf, 0x09f6289c, 0x679ad470, 0x21a33087, 0xf6b29db9, 0x42863480,
+    0xb092cf9e, 0x1608443a, 0x7310cc77, 0xd2d1ca52, 0x6ebda68a, 0x88574fd4, 0x62594ce3, 0x41628219,
+    0xf46f4337, 0x6af272b4, 0xedcaa646, 0xe2826739, 0x95923398, 0x61f15056, 0x68dc1cb9, 0xc41ed229,
+    0xaa527730, 0x837ccb43, 0x7a34d817, 0x048cbdcb, 0x3f35a84f, 0x1639676e, 0x3e1c5c40, 0x6e911240,
+    0x27c5fad4, 0x76b448e5, 0x03c74d53, 0xaa5ab69c, 0xc3c512eb, 0x7537e0a1, 0x48184b76, 0x7c1443c5,
+    0x438a9cde, 0xcef22608, 0xd33fe4ec, 0xda7e2f4c, 0x9247107a, 0x8a965f77, 0x86b3b863, 0x4004a0f3,
+    0x7c61f3bf, 0x062097fc, 0xd8eb4153, 0xb4b1a74f, 0x27ae24ae, 0x0be92154, 0x2a4b4e54, 0xf87a197c,
+    0x2a286e9d, 0x106fa5b4, 0x9c75b7c1, 0x993acb29, 0x4e6fc159, 0x9abef4d0, 0x52e3743f, 0xe2cfde06,
+    0x2bd42341, 0x33a8703c, 0xdc1f104c, 0x718ca1c9, 0x9f454e9b, 0x92e55431, 0xc3c31b28, 0x62e55a17,
+    0x920c00da, 0x38834dfb, 0x247f6edc, 0x4759798c, 0xba4b24f1, 0x6356dcfa, 0xc4e70a28, 0x4f4fdc2c,
+    0x41fce89a, 0x22205025, 0x10a4e547, 0xa7a96d00, 0x92941367, 0x7559d8a4, 0x1e7cb4b2, 0x68340ebc,
+    0x8b4f855f, 0xe8402bc8, 0xca4a467d, 0x0c2cb750, 0x64d12377, 0x44c58d7f, 0xdc3044a0, 0xb6863b5d,
+    0x6f3c51b1, 0x1127abfd, 0xb342e56e, 0x87294c97, 0x6014345a, 0x06323168, 0xf2916cb6, 0x8e0e284d,
+    0xfce57844, 0xc2aebeb2, 0xe8d5fe1e, 0x1326515d, 0x3ff58d5c, 0x4e16b600, 0x7541030d, 0x31c9b91d,
+    0x4ac9718d, 0xc052d55e, 0x12ecb94c, 0x612d4cf4, 0x2e24db73, 0x48567df3, 0x830cf2a0, 0xd470dd4c,
+    0x5556249e, 0x73a3ccca, 0xf87aecf7, 0xefaa4001, 0xc73f7341, 0xedad9e5b, 0x34be629b, 0x5bd81efc,
+    0x0b32bdcb, 0x547c8be8, 0x1a078625, 0xcf273520, 0x1cc37f32, 0x66e3ca71, 0x2635f21a, 0xaada41b9,
+    0xab5de2d3, 0xf1da7436, 0xd203fcac, 0xa929a032, 0x6c668c2a, 0x2cbaa95f, 0xd745ac0a, 0xabf0c77f,
+    0x6850ea72, 0xdcd8accb, 0x0df2313a, 0x859bb62e, 0x136a62c4, 0x87499a0a, 0x3cc66265, 0x2d8cb91d,
+    0x433c7d99, 0xf1e8315c, 0xd03c9150, 0x2c334be7, 0x1901cd40, 0x1d7adcd7, 0x60798114, 0x5ccfd773,
+    0x96c959f0, 0xc2f75cc0, 0x4f1b742f, 0x5de328c8, 0x8344c05d, 0xecaa6fdb, 0xd60ff41f, 0xa55338a9,
+    0x206b1dcc, 0x1244b5e6, 0x45797625, 0xf741b3b5, 0xecb6b67e, 0x14da8a8a, 0x2da3a5d2, 0xca8dad77,
+    0x5412adbd, 0xc71bc62e, 0x555f0305, 0x5fbe12a7, 0x4e143bad, 0xb4851fbd, 0x56b26a74, 0x2bcf105e,
+    0x6bc1ef6c, 0xf5feb3f3, 0xcad51440, 0x5e769e1c, 0x39767c10, 0xba12fb18, 0xcd50b090, 0x72fd5087,
+    0x641c51ac, 0xe1a6ee05, 0xcbc1addb, 0x7fd9692b, 0xb7943e70, 0x52b49fbd, 0xa40434ea, 0x11d81db1,
+    0x66f78cb4, 0xa5b0dcd5, 0x4772e167, 0xee04443c, 0x47581f7e, 0x5b213fd9, 0x2812df04, 0x6b9a0ca5,
+    0x0e640b3e, 0x83216622, 0x07ee45ae, 0x1dfd6b2a, 0xeed97437, 0xf8db45cd, 0xf4e18b03, 0x18036d8f,
+    0xbe0cfabb, 0xf7f2833c, 0xf48e24fd, 0x614927a9, 0xd24f2f53, 0x3f59dc90, 0x8d390458, 0xbde5a9c8,
+    0x96c9c6fe, 0xaf2fa35d, 0x7c3897bb, 0xcb9ab3cc, 0xf71c8b4f, 0xfec15045, 0xffb46a7a, 0x0de4dd0b,
+    0xde3b7781, 0xd984a908, 0x9785f7b3, 0x3ed7492b, 0x65ac8819, 0x895bf5e9, 0x0f70fb98, 0x151e7348,
+    0x647af45c, 0x61ebf87c, 0x2fe14ca2, 0xb5f6a7d7, 0x88673339, 0xda99c6e4, 0x5ddeab2b, 0x54c83221,
+    0xec450c41, 0x348dcce2, 0xb546770d, 0xc7990893, 0x033b8adc, 0x525e6847, 0x7d394d4e, 0xdf0007f4,
+    0x4ad6cc31, 0x084cdcde, 0x7e58d67e, 0xb4326241, 0x83936ccb, 0xb764b00b, 0x4d5a7183, 0xc48cd4e7,
+    0x89e077ef, 0xf3a14a02, 0x69233df0, 0x14bb11c8, 0x62db1298, 0x03d415a3, 0x2d001f34, 0xef1cdb8c,
+    0x098d7a04, 0x01a2d508, 0x62e46860, 0x62925218, 0x42d17f65, 0x1f7ad0f3, 0xa24611d6, 0x74a92e19,
+    0x20abadd0, 0x9f3a1c4d, 0xc2b4c090, 0x4208b9fe, 0xcc57661b, 0xe4fb2b48, 0x27145fb9, 0xd4a03aa0,
+    0x6c7c7357, 0xdbdfa005, 0x0f60f196, 0xd40c4a9a, 0x2a89edc7, 0x4e6ee926, 0x6b6246bb, 0xf951184d,
+    0x6f9ce00d, 0x37115712, 0x964bfcd0, 0x4d47ab56, 0x5d1d3697, 0xd946a817, 0xba74f35b, 0xf98bbc53,
+    0xe0b9b031, 0x8b3a6c6c, 0xe3cbceec, 0x54055834, 0x7e6e22c2, 0xb96dac9d, 0x52068a62, 0x8ae305e6,
+    0x088a981f, 0x02827a0a, 0x96513da9, 0xff19764d, 0xc67a95b3, 0x06103852, 0xe2e5d446, 0x0f0891db,
+    0x9eff290d, 0xa632c008, 0x1d910339, 0x3b27be08, 0x7a503b9d, 0xc745cde2, 0xe54ea168, 0x86a6437c,
+    0x7da02117, 0x4806a9e9, 0xb65972ae, 0x0a6dd80d, 0x7f51f68e, 0x13b35ae9, 0x28f9a8b2, 0x4079975e,
+    0x8e69e6aa, 0xe12e227c, 0x4ada2ad0, 0x25868f79, 0xebd7aa0a, 0x1f299928, 0xac8669c8, 0xec5c6102,
+    0x03052d1d, 0xfc81f22d, 0x392902a4, 0x521d9931, 0x403337b5, 0xdc72ace2, 0x2b6b0e1c, 0xb2ff767b,
+    0x81eec189, 0xdd417bb3, 0x24e26f5a, 0x48e65f44, 0x2562c2e1, 0x506d0587, 0x43a6a079, 0xf990d648,
+    0xc6711b03, 0xdcb47e75, 0xf13550df, 0xf806b98e, 0x3582cf2a, 0x197207f4, 0xc0d78ec3, 0x969ea089,
+    0xf5b6b157, 0x3a423891, 0xe247c15a, 0x5682b5d1, 0xb0036ce8, 0xe70c1d31, 0x944dd53c, 0xfdf8135d,
+    0xb0eebfb5, 0x77ce8273, 0xade3c0a6, 0x4ae42117, 0xc5d016f1, 0xfd3e5262, 0xa431a809, 0xff13af6d,
+    0x7214c350, 0x8fe71254, 0x06a0c4af, 0x91e034de, 0x34affb6b, 0xcac1da74, 0x2b177286, 0xc2a58b4f,
+    0xcd354429, 0x4af379c9, 0x71c1e6cb, 0xbe217381, 0x4e2a3c11, 0x8669f429, 0x9f951456, 0x96ba551a,
+    0x7582f2be, 0x6475632e, 0xcad4b412, 0xca1a7c16, 0x86b122ad, 0x0b24f641, 0xd9c1b892, 0x5d4f3cdb,
+    0xeb67bf19, 0xae16ed50, 0x790f34a4, 0xf8b40083, 0x0ae963e0, 0x6c4bff2c, 0x313d894d, 0x7867e813,
+    0x73380331, 0x465ae0e7, 0x4de560b0, 0x466f0f35, 0x4fd95c74, 0x04ff789f, 0x6af733ca, 0x175c5ac4,
+    0xe6104e37, 0x3b61f740, 0x84dae53c, 0x6d4f229f, 0x8a456da6, 0xfd8a7e93, 0x7003a477, 0x31e1ecaa,
+    0xbd831583, 0x9484eee1, 0x3f55a092, 0x8c403516, 0xb82b23f1, 0xeeff9831, 0x795d285a, 0x2485d414,
+    0x8e455cb6, 0x35d4e5a2, 0x271fd06d, 0xb58cd828, 0x8dfa3613, 0x6e3a18b7, 0x7b6cc785, 0xde016aae,
+    0x5f79f89f, 0xe4cc95b7, 0x8967b211, 0x03426826, 0x099977a3, 0xf9a85d0b, 0x2dcc6e7c, 0x686f8efc,
+    0x4bc2b316, 0x68f08579, 0x6553d165, 0xc4a81ebb, 0x108ce8c5, 0x7491283f, 0x9c49c4f7, 0xb2369665,
+    0x209bffc1, 0xa338eaa2, 0x0e37fea2, 0x9aa5a47d, 0xa61123c8, 0xaf8f9310, 0xb361f7d9, 0x9124af45,
+    0x76a23c40, 0xb871a01d, 0x1d8909f1, 0x4a8b4012, 0x01016058, 0xfc46a67c, 0x1ab5103c, 0x0d705f7f,
+    0xaf4d9f0e, 0x903c3dff, 0xd31ca7b0, 0xe1c2d964, 0x07714a25, 0xba1b568d, 0x8188ad58, 0x262069bd,
+    0xd8ca8756, 0xccaea382, 0xbfacb6b5, 0xc22945c4, 0xa923b211, 0xf65ae437, 0x04a98124, 0x195dcf75,
+    0x363d4bc8, 0x19e4df67, 0x33d6a25c, 0x77fcdfeb, 0xf8c1bd9c, 0x0cc7e0bc, 0xa35e5133, 0x324a3c95,
+    0x2e5834db, 0x0f31001d, 0x05241ea5, 0x2fac2169, 0x32e0fd66, 0x7dae32bc, 0x79cea383, 0x2c2865a0,
+    0x6b5a52a4, 0x4bdb118a, 0x46f9e10f, 0x612dc7b8, 0x36ab5173, 0x301f7097, 0xe440049a, 0x6da520fc,
+    0x3f3b75eb, 0x435f5f04, 0xc797060d, 0xaee17fc6, 0xa0943e55, 0xf9f1393a, 0x9b3e9075, 0xe9e752eb,
+    0xa359ee35, 0xfe3bcbcb, 0xcd3504e9, 0x2e0dfd08, 0x9c81c78e, 0xe64d7e48, 0x7fd62a96, 0x9946b440,
+    0x67bdf693, 0xbeb4bae2, 0x83b50612, 0xde632990, 0xcdf6689d, 0xa8df6c3e, 0x2b94b9d1, 0xf8c6f5c8,
+    0x107219cb, 0x94c0c5d2, 0x40e4f278, 0xb3263a4b, 0xf8f9fea8, 0x4f1d8d5c, 0x77098d4a, 0x9c7bd14d,
+    0xabd3c79b, 0xb4b1c7b6, 0xcb9bbd2e, 0x06439114, 0x655c3b75, 0xbf1d225e, 0x0e0033ad, 0x4279b7bf,
+    0x181175c8, 0x2b733391, 0xf19625de, 0x9434ddac, 0xd5949ad1, 0xe8f40559, 0xd1922680, 0x19cf67cd,
+    0x1cd09108, 0x7dff3aa7, 0xe798c200, 0x46aa4c76, 0xc34d89dd, 0xa4deb614, 0x2d9f174b, 0x56ed77f5,
+    0x2643a01e, 0xe62fd194, 0x85f9254c, 0x472f94ee, 0x78a7991b, 0x4bdbbd99, 0xe0b88ccc, 0x7c070819,
+    0xb945e91f, 0x8a4fe476, 0xff92d834, 0x9ea32f12, 0xf64495c5, 0x1c22c877, 0x9bdc0b0c, 0xcec91807,
+    0xa0d5004b, 0x044ed30f, 0x8f8aa135, 0x6a46653b, 0xf6cc2fdf, 0xe4485d2f, 0x7f5df630, 0x4cc274c2,
+    0x636000f6, 0xc84a0e2b, 0x21b416d5, 0xd039f9ea, 0x01579f9e, 0xca9b4c42, 0x210ca4fc, 0x65c08a15,
+    0x5a92cefa, 0xc166e149, 0x08605c8e, 0x7fba618c, 0x76d79354, 0x477676d8, 0x7797278a, 0x859d73a5,
+    0x77f4042f, 0xd2d8cb0e, 0xfa2f8926, 0x463ff534, 0x4f2c385d, 0x95e143aa, 0xcd74c61c, 0xb06e913f,
+    0x7c9f199b, 0x701bed62, 0xe34cdf41, 0xc4050862, 0xf4b4587a, 0x981112f5, 0x1b4d418f, 0x9fa73c96,
+    0xad4442fb, 0x63ff0a57, 0xde29bcac, 0xbc9bf98a, 0x887cd5fa, 0x2be95151, 0xe4feb104, 0x261e2d89,
+    0xfee24f06, 0x5278d669, 0x9684c7ca, 0x37359666, 0xf7ea9f15, 0xde251d65, 0x31c6965d, 0x96445ecb,
+    0x09c9f31b, 0x2ba14bdd, 0x7760f1ae, 0xeb4e7337, 0x15e1d77e, 0xd2a6b4bc, 0x467acd15, 0xc6f98df7,
+    0x95aa8f5b, 0xedc0a775, 0x88aabfd3, 0x7b6fe426, 0xeea33c3a, 0xa5653158, 0x4f8a3dbf, 0x102364ff,
+    0xbf11d515, 0x662038fe, 0x9ed97de1, 0xa66e3f78, 0xbdfee143, 0xfeb32e63, 0xd5ade0ae, 0x591d4dab,
+    0xc2464628, 0x37cd15a3, 0x336a1f5f, 0x669f8303, 0x6091711b, 0x04aa3432, 0x61c79d96, 0x8b8beac7,
+    0xde894490, 0xc881db75, 0x7809a62f, 0x1fad0715, 0xb151b8d2, 0x2b74618f, 0x9c92858a, 0xec527da6,
+    0x52b465b0, 0x682794be, 0x9fee6ce6, 0x4d1af42f, 0x889adb91, 0x7c7c89bf, 0x00573982, 0xa1d0eb7b,
+    0x24b5e670, 0x4ecf34c7, 0xd6976d9e, 0x67c4fc54, 0xeca46682, 0xce1602b9, 0xd7030a66, 0xefefb202,
+    0x17981a9d, 0xd534c6fd, 0xda9bba4e, 0x6d43fdb5, 0x12d58c1d, 0xf75aefac, 0xd0370907, 0x5fadcec0,
+    0x53cc04a0, 0x0b6bf671, 0xbacdcca8, 0xde77b058, 0xa6aa7667, 0xb798dcdb, 0xdd6c8c86, 0x88713ead,
+    0x7bc23c07, 0x54127965, 0x077e3d61, 0x7bb44f56, 0xc2fa2d10, 0xbfa7c9d8, 0xdf14195d, 0x82d1aba4,
+    0x7ddc1408, 0x35f96214, 0x1ee17fea, 0xc07fcbcf, 0xfe530840, 0x61ac1511, 0x6542db71, 0x4d1dab6c,
+    0x34ef36ad, 0x30f612c6, 0xa8a44d13, 0xad1731af, 0x098d982f, 0x58385ec5, 0x18770642, 0x6985f6ae,
+    0x29ecb3cb, 0xefb257d6, 0x0ff1d45b, 0x119efd60, 0x47bc8308, 0x435d234e, 0x35565d2c, 0xb76ea8d0,
+    0xa16b4dfa, 0xf6047039, 0xc4d249f2, 0x3adf1237, 0xb8bd5506, 0x5038ae73, 0x5aea7654, 0xa37cbf08,
+    0x48923034, 0xecf3fd52, 0x9de585a3, 0xf8bc1a68, 0x7ab77ddf, 0xe174020d, 0x0e4b0f7a, 0x98ffab74,
+    0xe29bd04f, 0xfe32eee7, 0xe446087f, 0x43531946, 0x2c76d757, 0x589b5da7, 0xaccd59ab, 0x695d80ea,
+    0x276b134f, 0x0c0ee877, 0xe1b0a902, 0xbc884a16, 0xea789c8c, 0xa7517150, 0x8a23773a, 0xcacefe00,
+    0x48d9ceab, 0x303ad400, 0x78e7630a, 0x2fbc536d, 0x63ec9c93, 0x8cde87cf, 0xc822bb01, 0x1f4b2ee0,
+    0xaabe7bbb, 0xebc26365, 0xdb907696, 0x55d50026, 0xf981ae80, 0x49e39b81, 0x1430d903, 0x931ecab1,
+    0x8c56ed33, 0x02a5399a, 0x59fd2c41, 0x23bf2960, 0x34aee0d1, 0x8e5f39f4, 0x507d2e7c, 0xadc40487,
+    0x9dd563a6, 0xea5bc473, 0xbf16b313, 0xcdfb2b2b, 0xd50e91d5, 0x047a5e36, 0x707d02a0, 0xff08af9b,
+    0x7af910af, 0x27a532be, 0x18a76ece, 0x79d558f2, 0x43230a07, 0xdf139c52, 0x9388bb87, 0xf609e7d1,
+    0x3c8717ba, 0x78e92b4f, 0x6d9b2fe5, 0xf7cd3153, 0x2b9cda7f, 0x8af05e03, 0xeb27a5ca, 0x8218f4d6,
+    0x6fd43b45, 0x1ff04c6b, 0x9ec9047c, 0x797032cd, 0x55c37c2b, 0x8d7227f2, 0x06a1ba95, 0x892af96f,
+    0x00000000 }, /* 10**00000000000000000003634193621478034452746619039440022671768206803436590301407\
+                         45099590319644056698961663095525356881782780381260803133088966767300814307328 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e,
+    0x91b6ac80, 0x82e7859d, 0x06650fde, 0x9dd51f3a, 0x3e24beab, 0x63ad0bd6, 0x1435ee48, 0x0565ca53,
+    0x00000000,
+    0xe0c3f9f0, 0xf2bc37f3, 0x0a0bd22e, 0xed677a51, 0xd2dc86c5, 0x9f784fc6, 0x0235fd03, 0x546189ce,
+    0x60674b2d, 0x323dea35, 0x3b8323fe, 0x6082ecc8, 0xe2261573, 0xed404efc, 0x25b401e2, 0xa60d94cc,
+    0x9eba57fc, 0x30a171de, 0x1da22ba0, 0xcd78df6e, 0x8506570f, 0x198d83d8, 0xcf9f612b, 0x42de8a6c,
+    0x31111f47, 0xd6f8ea37, 0x461099dc, 0xad7f90bd, 0xef8bcf78, 0x573ab0dc, 0x7a3bffae, 0x60221ee7,
+    0x01928047, 0xe979a07a, 0x59e1ab1d, 0xb856c4f3, 0x08c91bed, 0x9042c489, 0xe5daf769, 0x40702853,
+    0xa4188b81, 0xd4b65f20, 0xb1d35a76, 0x333068a5, 0xaf71622c, 0x84b00adc, 0x45812e53, 0xc014b9ef,
+    0x4f120795, 0xe0f3eb6b, 0x7456e762, 0x15fc357a, 0xe6c1cd5c, 0x1b2c9517, 0x2cd443b9, 0x7b103190,
+    0x720e9e12, 0x76177a44, 0xd41abbb8, 0xf75ad23e, 0x2932d6c5, 0xd6f3d437, 0x4f13be17, 0x9d96bcc1,
+    0x6a8dfd64, 0xa9bf077a, 0xd1517ff7, 0x34b93ae6, 0x29950050, 0xc77519e9, 0xaf701114, 0xf3d8696a,
+    0x1bab81c5, 0x3c75b15f, 0x9beaa2f2, 0xe0f75fef, 0xa767ccb1, 0x84b045db, 0xe83abb38, 0x8e1fb999,
+    0x5a327bcb, 0x27e1fede, 0x7c7c8811, 0x8e987c0c, 0xc0f7b4e3, 0xf4dfb7aa, 0xcecb1839, 0x69cf2c5b,
+    0x48a0ecde, 0x4963fba0, 0xb16c2cb8, 0x26db4091, 0x744ae651, 0x9ee6ef71, 0x15b29941, 0x72893e70,
+    0x18ff8cd7, 0xe21333fd, 0xeaf22516, 0xd8b52b04, 0x6436519b, 0xebaddffe, 0x1be622b1, 0x27ec4df0,
+    0xa80eea94, 0xd974ed0e, 0x4f0df5d4, 0x3123cc6f, 0xf55e58ed, 0xc1133120, 0x57a71c00, 0x15875783,
+    0xb510de21, 0x99a26fe7, 0x0cf19c90, 0x80622c32, 0xeb1cbe1a, 0xe2216a06, 0x254ac8b8, 0x2e0b9c25,
+    0xdab7bc16, 0xaaf51260, 0xc01b796c, 0x4493915f, 0x194f98ea, 0x7ffa8d4a, 0x4739b67b, 0x42b39bbe,
+    0x9f471388, 0x41ca1b6f, 0x8d361e07, 0xbf2caec5, 0xa53b9a5d, 0x66bb872d, 0x75e975b9, 0x5f2a85df,
+    0xbf0559f4, 0x06d00b85, 0x6613d26b, 0x8d5b6afd, 0xb2193f68, 0x6e809019, 0xcaa0c1b2, 0x499b6702,
+    0x72365e96, 0x1f55c1e0, 0xdd789bf6, 0xd3259bf6, 0x7ed49e29, 0x9ca8472d, 0x358a11f9, 0x8d012d9d,
+    0x0b1e2d81, 0x3d998b73, 0xa66e5068, 0xd4795c3d, 0x1bb52d6b, 0xb34cd817, 0x859702e9, 0x1d17d535,
+    0xc670687d, 0x6e1d4fb4, 0x5fe3c0ff, 0x4737153c, 0x8a9849d9, 0xaad264ec, 0xc451ba02, 0x440512c5,
+    0x7fa78aaa, 0x0ab317c4, 0x3ccced83, 0xdee88eaa, 0x4dd9f23d, 0x2570c19c, 0x669ab4a2, 0xe8b5e2ed,
+    0x42c32664, 0xf57a60c7, 0xaefe867a, 0x75bd7d27, 0xa0ecca50, 0x3283eb8c, 0x7e1fc8f2, 0x8823b662,
+    0x65a2b834, 0x63efbd2b, 0x88bda7bc, 0x391efcc7, 0x7b208268, 0x7e78362c, 0x1e74529c, 0xd103b101,
+    0x4a882a01, 0xb5a4d543, 0xe5a97b48, 0xb1cd4dba, 0xf6a9864a, 0x1c23c582, 0xedd399da, 0xb7c41fc9,
+    0xe9d9ecb4, 0x47a2d69e, 0x039575d9, 0xfb83272e, 0x8b348b6f, 0xf77e8205, 0x6281ee07, 0x1199af02,
+    0x858448ae, 0x477647b6, 0xe3f62507, 0x8616f3a1, 0x1780994a, 0x6a7907ad, 0x8023f591, 0xd8d9b005,
+    0x3ea663f0, 0x9d868310, 0xd19600e9, 0x79757964, 0x39f1e473, 0xc37ea19f, 0xe872ab45, 0xf567898f,
+    0xf09f2750, 0x7440e4bd, 0xb72a6918, 0x0b1c5802, 0x679482f2, 0xa308693c, 0xdde310bf, 0x8f7665ce,
+    0xb4383dfb, 0x322c9062, 0xab59d9a4, 0xe04af164, 0x0d85ba4b, 0xc296d89b, 0x528391b7, 0x456dd74e,
+    0x0f98210e, 0xec662400, 0x4bc57f94, 0xed0371d6, 0x23e3ccd4, 0xaf91e4f7, 0xcc25aca4, 0x616d0275,
+    0x516edeb7, 0x012b76bf, 0x426dca4f, 0xa8ade9ec, 0xe038a149, 0x7bfd7a74, 0x638dd518, 0xfab93edf,
+    0x5022a2cb, 0xcb61f523, 0x94a6c38b, 0x08a852fb, 0x994b2389, 0xbc7c638c, 0x1e138f13, 0x2de71301,
+    0x60196a4c, 0xfad12542, 0x5029b2d2, 0xdfdb2dfe, 0xc7bf1230, 0x92a12123, 0xd5cee91b, 0x043c72ed,
+    0x7a26f807, 0xaa05a28f, 0x3e51e331, 0x8544c356, 0x0121d773, 0x6eda89cb, 0x04be2c31, 0xbb81e865,
+    0x950c63a0, 0x59aaf7af, 0x307bd820, 0x631d63e5, 0x59d24121, 0xc43d1e48, 0xb38df0a1, 0x683ddf2a,
+    0x7fa960a2, 0x6b87ef8e, 0x299c9644, 0xbf8e865c, 0x20a9d67e, 0x45a574a0, 0xbbaec42b, 0xdb488101,
+    0x039eb287, 0x476ad81e, 0xe949f63c, 0x2ca33337, 0x519fba82, 0x417cdd6e, 0x81dd1870, 0xb9bf8d39,
+    0xc3957dcb, 0x600352c1, 0x1f08c8d7, 0x5b7998d7, 0x11025b19, 0x63ca3455, 0xe79a6340, 0x901204fa,
+    0x8e84bff9, 0x2e8e0ad9, 0xcc606503, 0xdd0ee131, 0x3b2d8a81, 0x94b5c7dc, 0xa1a4b997, 0xd56fbcd0,
+    0x33e1a508, 0x4c5c42ae, 0xb0d7566e, 0x2b336b06, 0xbe141a30, 0xf622bea8, 0x9cfc7c9a, 0x2a35dc00,
+    0xa4c4c3ac, 0x55da0c16, 0x5d9747a0, 0xf0c585bf, 0xa46956c9, 0x53550dfa, 0xf602c912, 0xefca04a8,
+    0x2941309a, 0x1a5ebcac, 0x85808338, 0x34ef72f2, 0x7d531a25, 0xd12b7e63, 0x294a466f, 0xd8bf7ff1,
+    0xf6881db7, 0x0455e8e6, 0x5f5ef889, 0x79cc2982, 0x53e244d3, 0x346ee618, 0x7dbcd61c, 0x348d63ba,
+    0x95742ff3, 0xa4071596, 0x602417e3, 0x7f1d6b00, 0x51df93eb, 0x175d37ba, 0x898523ef, 0xa76bcbfa,
+    0x6cf424f5, 0x330c7bcd, 0xe7a510b2, 0xd68d86a1, 0x7f5327fd, 0x87b52529, 0xbb266b9e, 0x6dd3fd7d,
+    0x4a44edbe, 0xb15bef08, 0x95cd9e55, 0xec3e72aa, 0xad16866c, 0x7ae1b8fc, 0xffb0f125, 0x6f264d06,
+    0x208c69f8, 0xc4a92f2d, 0x74cfc2c2, 0x01eb0db0, 0x6442401d, 0x3b13cf43, 0x7fa0b350, 0x3168dfcd,
+    0x99dee1d5, 0xfa96a7fe, 0x32e2ce3e, 0x15fbaf3f, 0x9a2ca269, 0xb1ae1710, 0x401b251e, 0xc90b6f08,
+    0x06f030ca, 0x550a0ddd, 0x07a0c8a4, 0xe1596b6f, 0xb526bd2b, 0x1e74cc00, 0x9ee7b98b, 0xb19db6ee,
+    0x95521a23, 0x57f599dc, 0x6caa3354, 0xb4a792b0, 0x301fcc2a, 0x2f681301, 0x9c88cf03, 0xba581f82,
+    0x23c5bf1b, 0x809d1356, 0x50bf882f, 0xb3ad2d34, 0x4d908626, 0xd91f7352, 0x6d42f9b7, 0x00bc6419,
+    0xe5e0a06f, 0xc2267806, 0xbb0622cf, 0xf0547592, 0xd1738176, 0xc666f4a1, 0xd1df6878, 0x547407d8,
+    0x9e297032, 0x4dace555, 0x0b279534, 0xb6f5e6fc, 0xd250cf2a, 0xb398a13a, 0x209c84fa, 0x2564c317,
+    0x3b2a4284, 0x25bda554, 0x5651be9c, 0x53b820c6, 0xaf938a01, 0x1df93036, 0x0872b2db, 0xdc003a22,
+    0x83c26da2, 0x1062ab1c, 0xd1b0e16a, 0x80b3d86d, 0x7d8fbe0c, 0x5db5749d, 0x77290e0d, 0x8c104d96,
+    0x317193a5, 0x5cad0b5b, 0x36789628, 0x6c48eb91, 0x452517ac, 0xa8cd1f71, 0xa70b542d, 0x93e94565,
+    0xd15fab20, 0x1487d2f1, 0x3c08c0d7, 0xe178b3cc, 0xb405dbf0, 0xe0ac18d4, 0x0895edf2, 0xba075934,
+    0x1a812264, 0x37200e42, 0xfccaa7d3, 0xfbbfab44, 0x7d67896b, 0x8520cd61, 0x4e390307, 0x4e9f9ed7,
+    0xca1b2cca, 0x04361739, 0x143dc3e5, 0xbc22c69c, 0x14b93430, 0xcb00cafb, 0x87e191d0, 0x620db112,
+    0x4b22eac5, 0xed1037a1, 0xd34a9248, 0x476098a1, 0xc74798a6, 0x729b807f, 0xf4fd1ec5, 0x4ae9f9cb,
+    0xd4a6836d, 0x0ad1e058, 0x0ce13b4e, 0x67f70470, 0xe6e86402, 0x011acaf4, 0x7c846d16, 0xe698b585,
+    0xf0145d41, 0xb0ad01b5, 0x1a10bd6b, 0x3b5488dc, 0x4cb6e066, 0x9de86415, 0x2705b2bb, 0xa50c1bbd,
+    0xac33ad69, 0x96b6d736, 0xea89eda8, 0x7a76fa10, 0x051df2aa, 0x8891cf76, 0xe651b1d0, 0x4ccdc80a,
+    0xdab8e03d, 0xd2fc09f8, 0x4ee60d4a, 0x577039f8, 0xa5cfde46, 0xff8c9ce8, 0xc714fb60, 0x39ceb4ad,
+    0xca74b1da, 0x13d3a4d1, 0xf41c5116, 0x8305ecca, 0x746fa9bb, 0xee6b9a57, 0x913b620d, 0xf5965715,
+    0xd0b97df2, 0xaee9d6ba, 0x3c352506, 0xf5573c1b, 0x3f8a37f6, 0xd34b0683, 0x3d911308, 0x28f1f804,
+    0x3b76d8a8, 0xb03df8c6, 0x17f5dfab, 0x94d7b080, 0x82d3e768, 0x23fc2013, 0x02abab40, 0xe8da5433,
+    0xa52b6325, 0xb762cc05, 0xd3cd45b6, 0xb0aabf79, 0x37d9cc48, 0x10d79b64, 0x5b948a72, 0x8a06e6ce,
+    0xd3d0eb73, 0x5fa4bc19, 0x1354d707, 0xafc73504, 0xf7a2e909, 0x0652b255, 0xdc5fffdf, 0x61f5d5cc,
+    0x7cb6a1c2, 0x086c3882, 0x185dac35, 0x39da7816, 0x254dcd8a, 0xbea0a84c, 0x300f095e, 0x9f8099ff,
+    0x54e6e3f7, 0x20a12227, 0x485818c6, 0xaa140d0a, 0x94d96ed2, 0xc123b51e, 0x7e5d8133, 0xa81e5dbf,
+    0x3b645566, 0xae243646, 0xf333d4c2, 0x2129a0fa, 0xd9254eaa, 0xbafe9559, 0xb7b12696, 0xcdbcd9de,
+    0x817694cf, 0x75a34a9a, 0xc2b970c9, 0xce891fe3, 0xda3f7ba1, 0x83d73db8, 0x01c2b0c7, 0xc03324c9,
+    0x3ad2bb78, 0x2b889d35, 0x7c806c0f, 0x21528261, 0x4dc92f4f, 0x7d3c3ddc, 0xa38c8471, 0xf71d95e7,
+    0x3355a3de, 0x4b942924, 0xbcf921a5, 0xf696c965, 0xdce184ea, 0x5bdac312, 0x09f70fed, 0x6cc01cb7,
+    0x82137849, 0x4469f353, 0xc51763e1, 0xc8e585ed, 0xa3232f1e, 0x0742bcb4, 0x639c69f4, 0x09cc2eef,
+    0x0d84b760, 0x1a97c0c0, 0x969bc4b8, 0xc3a0fd38, 0x48554fcb, 0xa28e018d, 0xdaa11458, 0xa3e39f63,
+    0x795147a0, 0xd1dd8150, 0x594987f7, 0xc43925e5, 0xa651bb39, 0xe2604852, 0x5b6cdb71, 0xc5a6b63d,
+    0x2a887d90, 0x5c0c8953, 0x4d0b8c4f, 0x6008a03d, 0x946bbc83, 0x8c2c67ff, 0xa5608cc6, 0xb84deab7,
+    0xb119cba5, 0x22d6de4d, 0x39392d61, 0x367944da, 0x390426a9, 0xc92735ff, 0x375e9c73, 0x25d0d880,
+    0x8dc6be38, 0x49719ad0, 0x6c5f1fe5, 0x68d4ef50, 0x3eff6f18, 0x668b816c, 0x990c526c, 0x23bdde16,
+    0x8d70ca37, 0x60f3b13f, 0x7bec00d4, 0x7119b161, 0x0787b983, 0x06bf9f9f, 0x9ee367da, 0x670dd32d,
+    0x1daf0006, 0xca8fe3ca, 0x85c8d527, 0x7f33a5cb, 0xbdfd3031, 0x6b4c27af, 0x60183ffe, 0xa39c5bb6,
+    0x4251b945, 0x8fd951b8, 0xd204fb67, 0x53dbfb8d, 0x79f5150c, 0xc29c822f, 0xc00f320f, 0x576d8d43,
+    0x2fbd13e9, 0x636d0f80, 0xef9dc2ca, 0xce519c4d, 0x2b1edbc8, 0x4e73d366, 0x6e015281, 0x871afb2a,
+    0x3731e36f, 0xf7464cc4, 0x35a19569, 0x0465f114, 0x7b8fcf1b, 0xfef19028, 0xf856e98b, 0xf73b3f46,
+    0xd5794f3c, 0xc901b7da, 0xe3d0ef2a, 0x1ff9632e, 0x6c5d9f1b, 0x4de922c8, 0x953fb2b6, 0x7d8942b6,
+    0xb9f6bfe9, 0xe1cb6b00, 0x6ee4fe7a, 0xb12848a5, 0x97e991cd, 0x83438a12, 0xc78f164e, 0x84bdb7ac,
+    0xaa9c9588, 0x1c3d6c4a, 0x19079fae, 0xd185ef1c, 0xe730eb91, 0x44df9068, 0xa626daed, 0xce887f24,
+    0x82c3a147, 0xfae7f054, 0xa54d1793, 0x9bc5991d, 0x4ee1288a, 0x3dbcf082, 0x340d0cd9, 0x84d11fb6,
+    0xfd3afbff, 0xbe90badc, 0xd38f43bf, 0x5e8f2fe6, 0xb5dd132d, 0x30f0c07c, 0x739a84c6, 0x185dfa59,
+    0xf73deae1, 0x8a989294, 0x29b8b585, 0x1806b561, 0x52dc4cf4, 0xa9954db9, 0xb0de0291, 0xaaac2d27,
+    0x6172daa2, 0x618b8e7b, 0xdbb8c2af, 0xd5b63501, 0xb5679976, 0x1de096b1, 0x06d39e83, 0x02cf0ca1,
+    0xfcf21168, 0xf8bd2526, 0x00f63239, 0xa20bac6f, 0x63e745bf, 0x16cc0b41, 0x7ff3f87a, 0x6b4bcbaf,
+    0x003c249a, 0xa73358ed, 0x04add4f2, 0xced78647, 0xf028a852, 0x89a84855, 0xf6e27387, 0xb6a13923,
+    0x042c4bfb, 0x6b3ef591, 0xd3ee5800, 0x9d12b524, 0x8adf14cf, 0x3d10e4d1, 0xfd096b23, 0x598dd48a,
+    0x6b6e1960, 0xe0274989, 0xe9cc29df, 0x77cd0a2c, 0x14b9d69e, 0xb75d4f49, 0xd333b961, 0xad01d78b,
+    0x2b6d61d6, 0x58279529, 0x09fbf9bc, 0x1ff1616e, 0x20337027, 0x04ca9375, 0x571f3b9f, 0x5facef63,
+    0x8da3fbce, 0x471718cf, 0xf76f956b, 0xe38cfb0d, 0xcebee7f8, 0x9e31b51d, 0xacc2d42c, 0x3c1b6be6,
+    0xd2522cd0, 0x96239b7c, 0xe933a222, 0xfabec01d, 0xeb2a38ca, 0x7d81d019, 0xa09969da, 0xf882874f,
+    0xa79b508c, 0xa4322b80, 0x697cdc37, 0x82599a73, 0x18d79f37, 0x6aa12e5f, 0x7696d1ee, 0xa18d322d,
+    0xe323a327, 0x806408b7, 0xe0120e48, 0xd2f8b0c2, 0x38855fd7, 0xe684ba32, 0xfc678221, 0xfae09ca4,
+    0xfc4bd8d6, 0x0b801043, 0xdd13b03d, 0x635e2296, 0x5aaeb407, 0x540c4f38, 0xf97b44f9, 0xebcf60e2,
+    0xa6f339e7, 0x7b3053fa, 0xb0a5e7a2, 0x97fa2c70, 0x7906af9c, 0xb5451788, 0x5ce0609d, 0xc54daccc,
+    0xd879eb1c, 0x2eb37a56, 0x2802dfcd, 0x223ac99c, 0x29b7a484, 0x4cf861b5, 0x1195cfcf, 0xeaaf623b,
+    0xe174cd66, 0x21028fd2, 0xa9f92a3a, 0xb517d433, 0x10ad6878, 0x1b6cd438, 0x8c9ae3da, 0x40c36d11,
+    0x42b99172, 0x7efbae0c, 0xec7bb44f, 0xcbc629dd, 0xe04b3e69, 0xe7194a5a, 0x8a14b0cb, 0x4249523a,
+    0x74c158b3, 0xc7ccb0f7, 0xddf76c3e, 0x87c212ae, 0xb25a5bff, 0x2638f00d, 0xc87f8eee, 0xd88c39b5,
+    0xef0f5566, 0xd2938c39, 0xf1aa0952, 0x8e3a73a2, 0x4fe1ea10, 0xfbc2c472, 0x2070d6e2, 0xc5ffe162,
+    0x88191d7f, 0xcb59dcc5, 0x14433b3c, 0xa0bd8e48, 0x84cb3a97, 0xe35ce4e9, 0xf913d253, 0x06f8bd24,
+    0x72d899c6, 0xdc211a6a, 0x2529bb9a, 0xc2f63778, 0xed83f968, 0xffe1bcd0, 0xd1f32b92, 0x6d576abb,
+    0x81aff28e, 0xb041f4f8, 0xffaaab94, 0xd7809373, 0xa2bfaef5, 0x54171d42, 0x5d1d4aef, 0x224bf22a,
+    0x023a0430, 0xb185ddba, 0xfba2eb33, 0xf4bb7a37, 0x581693ab, 0xa50d099d, 0xe1f7f36e, 0x46878bae,
+    0x4f3239a8, 0x7faa365f, 0x2146b5ca, 0xf309a5d1, 0x8163a9be, 0xea0178e2, 0x684b6cf7, 0x51bdc352,
+    0x82e5e620, 0x24fc05c2, 0x1c676dfc, 0x72a3fe8e, 0x58694e0f, 0x818defbe, 0x14ef9ccf, 0x66abefbf,
+    0x38c3287f, 0x73ef16e4, 0xb9802e57, 0xcad88b76, 0x01676254, 0xc8948bab, 0x3926b31b, 0xc0b40e38,
+    0x0bd81420, 0xc17e14b4, 0x9f5d7b86, 0x1fe0974a, 0x576313a2, 0x037c87eb, 0x6a1fc169, 0xda330848,
+    0x24e72d99, 0xa114fb3b, 0x44d49aa2, 0x4309534a, 0xc520d3a8, 0xfa5b2892, 0x0563ac69, 0xc9f914de,
+    0xf3388b82, 0xf342b16d, 0x887b46b0, 0xc4e8ff68, 0x138b2cd9, 0x7c893023, 0x59dc8e00, 0x3c2202a0,
+    0xd0cc8144, 0x0948b5a2, 0x0ea1ce6d, 0xbe16ba28, 0x0bf7c4bd, 0x50d0b1c3, 0xd1571d03, 0x3caa01b0,
+    0x02215f38, 0x27ad2845, 0x203e0b01, 0xc05d117b, 0x744d6e7e, 0xa162879f, 0x7ec30463, 0x3fc9308c,
+    0xe973fd61, 0x2052d1cf, 0x2360955e, 0x7cdfa607, 0xe188dddc, 0xd56d7f91, 0x13e255e9, 0xdd986865,
+    0xe4fc9016, 0x1b9a5254, 0x88fee93d, 0xe8df947c, 0x0c859423, 0x0ee10ef7, 0xd153a48c, 0x43adc480,
+    0x53cb4aa6, 0x58e735e3, 0x9d3dc563, 0xbf02b31c, 0x2043baf8, 0x96e88d42, 0x9c7045c2, 0xe39cc26c,
+    0xc5eb937d, 0x096c1735, 0xa15bd165, 0x4764550c, 0x0f4b4c16, 0x354a7703, 0x7a0af6a0, 0xc7178582,
+    0x00000000 }, /* 10**00000000000000000001817096810739017226373309519720011335884103401718295150703\
+                         72549795159822028349480831547762678440891390190630401566544483383650407153664 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7,
+    0x48db5640, 0x4173c2ce, 0x833287ef, 0x4eea8f9d, 0x1f125f55, 0xb1d685eb, 0x0a1af724, 0x02b2e529,
+    0x00000000,
+    0xa99dff96, 0xb545d169, 0x022b0ef3, 0xb32da4db, 0xade04c51, 0x9abb1fd7, 0xd6d2f877, 0x9851e4a4,
+    0xf139fd50, 0xe6ab3295, 0xdf25ff25, 0x167724f8, 0xd93ac895, 0xa7901445, 0xad4f7503, 0x37eccbfc,
+    0xfd4ab6d5, 0xa8a14033, 0x16bcc34d, 0xac2be761, 0xcb36b2db, 0xe3175265, 0x188cda98, 0x4d8e7a5e,
+    0xaa46247e, 0xb00e3f2b, 0x6eac8a77, 0x3e8d6c8c, 0xdddd7f1a, 0x108594f9, 0x0e5160e5, 0xeb3891a3,
+    0x613bf180, 0x43f312a8, 0xdde648c8, 0x19bc45b6, 0xb3b0e8eb, 0x5e7c3532, 0x8e1ef87e, 0x882051e6,
+    0x0f62cf39, 0xcb037ae9, 0xb7b30ee2, 0x4faea20f, 0x1670c0c5, 0xa90436bb, 0x9dfe7b33, 0x71b850b8,
+    0x5f2f569f, 0x072ce06c, 0x90037548, 0x83efd52e, 0x6415d51d, 0xd99dccd3, 0x7effba3c, 0x09450afc,
+    0xfd68b77f, 0x709799d6, 0x7a26783d, 0x2c4d893c, 0xa3b13c75, 0x14069b60, 0x566c49ea, 0xdc0461d8,
+    0xb07dd591, 0xdf9aeb05, 0x0f764833, 0xffa8d266, 0x0df2cf64, 0xa0afa403, 0x672944e8, 0x77d89e72,
+    0x7302a181, 0x7b9151cb, 0xd692a6de, 0x09d80870, 0x97024b56, 0x81c338b5, 0x6fcbb174, 0x31baaaa8,
+    0x587832e9, 0xd0d7fba9, 0x6a63a866, 0xac4510c7, 0xc163e0cf, 0xa0bd10f9, 0xb2cae766, 0x6eafeb39,
+    0xabf273b1, 0x243097fb, 0x76c28c79, 0x16b09bf2, 0xb61177d9, 0x91df880e, 0x5e66d7c1, 0x021c40d9,
+    0xb937ec82, 0x698df9ed, 0x8f77a378, 0x2278c87d, 0xa3a676d1, 0x7d6ddd52, 0x72a083a2, 0x234943de,
+    0xf1bd76df, 0x1417fd84, 0x528d4b98, 0x9f24250c, 0x83549205, 0xc8d088cc, 0x7759cc6e, 0xe30a0091,
+    0x2da23147, 0x85035e04, 0x3ecc3e4c, 0xcb529c39, 0x6c4f9b1e, 0xe5c515d6, 0xb0c96286, 0x3cc22b5a,
+    0x90d47f9d, 0xc6b7b94b, 0x0ed0d2e8, 0x1b6c322b, 0x9878cfc4, 0xdf3b5385, 0x021a480c, 0x6313614e,
+    0x7bc5b43d, 0x637df279, 0xa58e7f64, 0x4602baf5, 0x141b2e98, 0x69761e0e, 0x49c6bab0, 0x7a62041b,
+    0xd3a8194d, 0xd448268b, 0xa14f2f22, 0xf90c8544, 0xf8a6c910, 0xab781605, 0xd65e4475, 0x2b1613dd,
+    0xf81ee2d3, 0x31e54654, 0xf72874fb, 0x8025647f, 0x4651274e, 0xb6d3b4e4, 0xdb3af0e3, 0xfd89c084,
+    0xcde3421c, 0x39def92a, 0xef8e306a, 0x8f2f7dee, 0xafa4ce05, 0x93f39b13, 0x1d63cce7, 0xb31f2225,
+    0x9dded26b, 0xbb88988b, 0x2bb917f3, 0x0be47248, 0x8c2982ae, 0x8ff5fe6e, 0x18781c14, 0x4c65c718,
+    0x74845a0b, 0x35128222, 0xdee72b3b, 0xac15d115, 0x2aef78b2, 0x0a6d99e1, 0xbcf9d9d8, 0x8617ad43,
+    0xdd6dd5a7, 0x7f2ec7ea, 0x8070b565, 0x8dc020b2, 0x82f18af8, 0xaeca4e26, 0xe55d8856, 0xb4f59137,
+    0x7ce7195a, 0x05da5545, 0x68e830d1, 0xff398726, 0x70f60468, 0x93f71756, 0x7bd92ae5, 0x6553d57e,
+    0xb88be2e8, 0x02c74bd1, 0x4f337f8f, 0xd9b7bfad, 0x845430b7, 0x8f817123, 0x23a32c6d, 0x7eb8cf17,
+    0xc04ee84b, 0x854f08e0, 0x39ad834f, 0xf2bb72e5, 0xd9c7f22a, 0x0187afad, 0x1cb145e2, 0xedd841a4,
+    0x72a3609d, 0x9241d2dc, 0x545e6ecb, 0x20b501f3, 0x425a5e55, 0x007ffebd, 0xed35c621, 0x75b915fe,
+    0x04248862, 0x11595406, 0x3c1a2b80, 0xff80ee7d, 0x6b19a040, 0x4edad57a, 0x0acff8c3, 0xa18b2536,
+    0x5c219b6e, 0xc08d61cb, 0x69620936, 0x7b3bea38, 0x22a3a318, 0x8435d54b, 0x54eff74a, 0x33814dae,
+    0xb10a8f29, 0x376e3e6c, 0x0d76038e, 0xe4c479d1, 0x4d1d4969, 0xfd099a5e, 0x2ef1a578, 0x2c25819f,
+    0x4ee8c290, 0x3fc8364f, 0xf9e3ae79, 0xe7a1a594, 0x7ac999e2, 0xbcbda0f8, 0x32e0981a, 0x14c07785,
+    0x267f0100, 0x9ee1db0a, 0xdaa501b9, 0xd9b6e1e4, 0x239ea57a, 0x05aec184, 0x1e9deb20, 0x54826b1e,
+    0xfee954c7, 0x2f3ef9cc, 0x79fa0bd6, 0xc556ce5b, 0x5e9d8bdd, 0x79e01aff, 0x7cfca3ca, 0x0a61e458,
+    0x104f3eff, 0x583c7ab0, 0x60254e08, 0x14153cc5, 0x59a7a936, 0xd914dd6a, 0x3a1c1fe9, 0x10564bbb,
+    0x446a92df, 0xb86a7466, 0x86a41f0f, 0x7732314b, 0x7c32ccd3, 0x63db7c61, 0xbbd21f85, 0x5cc34b95,
+    0x205bdda9, 0x7c4a0f3f, 0xc353fee9, 0xb2c2dc4c, 0x722bdbf0, 0x306b08b9, 0x80711eb6, 0x0a1e8f25,
+    0x7f52f43b, 0xc13fe7d9, 0x6715fd4c, 0x553891c2, 0x6547478c, 0xdf57aa38, 0xefabed0d, 0x8d84e0a6,
+    0xcf6487e9, 0x2f4334e8, 0xf13c6fbe, 0xc3faf89c, 0x3d270ea9, 0xa5c49012, 0x122eabb8, 0xd8bfd490,
+    0x3cd22c4d, 0x278eb642, 0x27793ded, 0xede499d2, 0x68c47534, 0x0693e021, 0xf008b3cc, 0xae9a1a0c,
+    0x915d6a87, 0x02c4b93f, 0xf12e3534, 0xeb54b731, 0x13cff191, 0x47d5f5ef, 0x4af0d207, 0xddaf9c1a,
+    0x84eaa827, 0x30c9afea, 0x38532db5, 0x9ead34d1, 0x74331046, 0xf108196b, 0x7592aabf, 0x6883e96e,
+    0x39e6fe28, 0x9406cc26, 0x3ceccca1, 0xfdd7586b, 0xe5ecd625, 0x6d5a196a, 0x99dc0e9e, 0x73ff5889,
+    0xfb2aea14, 0xa26c42d9, 0x80dd6639, 0x15f4c879, 0xc94b7590, 0x8f029634, 0xe52484b7, 0x1f3f70cf,
+    0xa187e9bf, 0xed87a506, 0x9b128dac, 0xf5aed750, 0xd91929f1, 0x239322a4, 0x56c3fa72, 0x2fb1f349,
+    0x795154c8, 0xc53dfa33, 0x3719d5d8, 0x794d3d06, 0x7d0865d1, 0x9ca4a25e, 0xdca6681a, 0x44f9f020,
+    0xd47deacc, 0x1ac6402d, 0x3479e35e, 0xef73b2e8, 0x90e14b0a, 0xfec88eee, 0x7ebe2f67, 0x3390cc8e,
+    0x377c9792, 0x699f656f, 0x16b0bc1b, 0x7a56ad35, 0xe3f3493c, 0x24cef18b, 0xd85f8a2f, 0x95753dc7,
+    0xf9e9a4fe, 0x7f4b7d22, 0xa67e3763, 0x3149c2cf, 0xbf3029df, 0xb4af36e5, 0x8ec3c294, 0x217951d4,
+    0x37d7e1d2, 0x00aeee63, 0xb7ea69d4, 0xcb890cdf, 0x0d65d5e6, 0xbe9037e0, 0x8ecf447c, 0x6e43c411,
+    0x52b10f4a, 0xa81485e4, 0x8c64942a, 0x03547da1, 0x88f8bd53, 0x74c691fe, 0x863618da, 0x52611379,
+    0x369356c9, 0x6139eda2, 0xc1b538e1, 0xbd6f69f3, 0xa73e8697, 0xde0f2134, 0x0c9b82d7, 0xd7e3cbd4,
+    0xdf1851c6, 0x77bec692, 0xc54ed3ce, 0xb0dd2921, 0xd3ef0f4f, 0x588d4845, 0xbf277a48, 0x2e3f9db8,
+    0xa686d418, 0x15c03a8d, 0x11c23fd4, 0x1ef97e34, 0x74ddb9e0, 0x1c284de1, 0xd3f7e02f, 0xbd596562,
+    0x5a253888, 0x44d72b6b, 0xe4461fe7, 0xe5b8877d, 0x8635b629, 0x85e247a7, 0xb30c6fbf, 0xab9fc5ad,
+    0x8f2e678c, 0x4a8915e5, 0x32b61eb7, 0xecac276e, 0xa05cdc59, 0x6b9e2c98, 0x9e50f8b1, 0x383b13ac,
+    0x6a7ec27b, 0xe503d502, 0x714365fc, 0xee3685eb, 0xe38638c5, 0x4e89fd63, 0x80f4de8b, 0x3e69dc10,
+    0xcd31751a, 0x31cf20cd, 0x5dedbe86, 0xe0baa769, 0x25acb359, 0x71e85c04, 0x8ef8ecd6, 0xe571bf7c,
+    0xa5cc612d, 0x2217559c, 0x1eb63eb7, 0xda61f823, 0xc44d9647, 0x286c99be, 0xfe8da59f, 0x7ca7b531,
+    0x5935cca6, 0x4061d700, 0xbb4a47de, 0xd8bbe60f, 0x1f6d6fd2, 0xd29be1cc, 0xda4f4e34, 0xc8595e53,
+    0xa43ffd73, 0x4bc9a488, 0xd169b130, 0x8456830a, 0x0bfe104a, 0xc88cfa0a, 0x18869544, 0x10f968fd,
+    0xadb8250e, 0xfde88553, 0xd3726eab, 0xf586a00c, 0xa92adf88, 0x49897378, 0xe54a9d82, 0x9c2a9a97,
+    0x8eb1add0, 0x3d61d400, 0x01c51cde, 0x354a3367, 0x73d9d0fe, 0x48014877, 0x029fb2ab, 0x54dfde24,
+    0x92a580e4, 0xa095aaf0, 0x7277a996, 0x5b700591, 0x58c22423, 0xaa0e3d60, 0x9eaeec66, 0xcad19130,
+    0x46ee4b76, 0x52a37ed6, 0x75bd79b3, 0x9fbf80f2, 0x39939370, 0x7f67276b, 0x7416b47a, 0x87b49cfb,
+    0x7b947803, 0xee9962cb, 0x6da7fa5b, 0x1d1bfd67, 0xe32e0473, 0x07aed082, 0xde703186, 0x207e94fe,
+    0x78adc500, 0xa686f9fd, 0x79871404, 0x011bef02, 0xfbc5d235, 0xdd27b1f3, 0x131931a9, 0x43f22229,
+    0x23518098, 0xb2fe4d75, 0x855a55b3, 0xe20ac376, 0x0ac390ed, 0x566289ff, 0x7ac6f686, 0x673cc3ab,
+    0x887bde1e, 0x295faa79, 0x8a373629, 0x039c812e, 0x05904069, 0xb023160f, 0xc9dff1d0, 0x57dfb666,
+    0xebea60e8, 0x77ed5b1c, 0x4b02ecf2, 0x0040349c, 0x86f4e1a7, 0x0222ba52, 0x10535429, 0xacb16189,
+    0xbcc5efed, 0x79db55da, 0x8cd5769b, 0x9f333dd5, 0x6cb1da0b, 0x1cedc853, 0x2c7ff7d5, 0xaf47a826,
+    0x67f7bdea, 0x2baaf4ad, 0xaa1fee80, 0x3b31461b, 0xf1d8ff59, 0x0ee20da7, 0x07138b8c, 0xca26f0ca,
+    0x4122093e, 0xca09da4f, 0x44ccb209, 0x8fa3da6b, 0x204f6fcc, 0xb2a5fb41, 0x2dc4693e, 0x6f360466,
+    0x97037559, 0x75c3d218, 0x8e57d415, 0x471c4dcf, 0xec3ae142, 0xeb6d7699, 0xb4920fa9, 0x5cabd82d,
+    0xc101f720, 0x9a98798a, 0xc6a912ea, 0x40f24052, 0x3239cc32, 0x5e8cad97, 0xf428873c, 0x87e4cf33,
+    0x14a6fb69, 0xe41133d8, 0x44889817, 0x8a852c6a, 0x8d57b604, 0xfc837804, 0xd1abda10, 0x1ff89b15,
+    0xd64e87b8, 0x4a1d07fb, 0xb8981e83, 0xea2f038c, 0xf2ab72ae, 0x9e3ca7ca, 0xac6f8f9d, 0xeab479d9,
+    0x33d4bf81, 0xa8bc6762, 0xe313ab45, 0x96be1b75, 0xf0225d36, 0x9bcd15c3, 0xd42ae0be, 0x8bc80633,
+    0xdce6e1f6, 0x2808c25b, 0x26cb9c33, 0x527d64c9, 0x1b3f133d, 0xe2cc01e3, 0x51f5552a, 0x9daf2cee,
+    0x07640c87, 0x9da2dcfe, 0x5b73d99d, 0xecdd842a, 0x79a87ab1, 0xe96f3a4e, 0x54529543, 0x19b031b4,
+    0x4090af1e, 0x874c0f95, 0xd8d76560, 0xf8f05bda, 0xf788ad87, 0x518e2991, 0xe95e3aee, 0x3c589f0f,
+    0x4fca6ec6, 0x0d3dd7cc, 0x979f989d, 0x5ba1d02b, 0x418e11a3, 0x1327b120, 0x0be0e762, 0xac02a1e1,
+    0xdd38ba9e, 0x17354d15, 0x21316f1b, 0x3fa33fb0, 0x8827e102, 0x591a9f72, 0x9d8329d6, 0x59ff20b5,
+    0xcc852dfd, 0x85c3349a, 0x6b8e7fc7, 0x74b751f4, 0x1441b310, 0x32042bbd, 0x6dcc47e3, 0xb02f1ae1,
+    0x2eb621ce, 0x2ac442af, 0x1f9ccd2b, 0x80c56f38, 0x0b772290, 0x3cb5459b, 0x6d44d9d9, 0xde2b1f39,
+    0xeaec9151, 0xfdee52d3, 0x0395de4f, 0x725b5d57, 0x917d090d, 0x397299a8, 0xa5268740, 0xd54cb68f,
+    0x7e7c5341, 0x83378aac, 0x9f4eef29, 0x3ef05fb0, 0x150ea860, 0x513d1b93, 0x8fba2a36, 0x21df952e,
+    0x655f5a7c, 0x00962cc4, 0xe76da296, 0xd458e5c2, 0xd0e9ff00, 0x0df757bc, 0xff78c25e, 0xe71ff922,
+    0x2448f4b8, 0xcba463ec, 0xe75eb89e, 0xc6a555df, 0x3ca62817, 0x40d468ea, 0xcd638474, 0xd41ffa56,
+    0x6a4e2d25, 0x3f9ed541, 0x3ae4ba72, 0xee9e66cc, 0xb11c997d, 0xc3d722c0, 0xb67db4f9, 0x8497c088,
+    0x775a5f17, 0xf9f47263, 0x0c4736b2, 0x9924430e, 0x1b14b809, 0xd6c1465f, 0xf7dee570, 0xf2a72aff,
+    0x6ef6ee25, 0x72dbfd0e, 0x8eb65675, 0x6f42a893, 0x835ad733, 0x4ab8d8de, 0xdde5a5b6, 0x50ba5744,
+    0x799c1cd6, 0x381b894b, 0xb6d08f8f, 0x319ac4e4, 0xe7a1b1dc, 0xd495fbbc, 0x0d02171a, 0x00581c01,
+    0x05243bf1, 0x869d4a9b, 0x1bf1d473, 0x43ff7d4a, 0x367759c0, 0xc73e3482, 0x318b7af7, 0x47be3265,
+    0x3d9c6214, 0x8a7350d0, 0x1464dff6, 0x6e3bdf06, 0x314208bc, 0x4b865132, 0x049ef578, 0xa8773374,
+    0xccc6ed74, 0x061b1e79, 0x592f1cfa, 0xac721c45, 0xea7ad4d9, 0x923a8cb9, 0xb25b7a73, 0xcf469bcc,
+    0xd3dcb5d5, 0xcaf2fb33, 0x519936e2, 0x4f71c5ed, 0x075ccb40, 0x32d12e5d, 0x9881553f, 0x3d85de6f,
+    0x076dd83f, 0x718246ac, 0x8e473041, 0x444a09b4, 0xd86318a3, 0x8f43b4e9, 0x0ad0d887, 0xf24635da,
+    0xc6f0fa64, 0x5e4949d9, 0x0d03c09a, 0x821111b8, 0xa13a1567, 0xf165aeed, 0x2605dda6, 0xcd5ef121,
+    0x7ffe8850, 0x516d271f, 0x3b0d1682, 0x8a460672, 0x90fc2b74, 0x4f8d17f0, 0x30f8a68f, 0x3f8d8226,
+    0xc76c81bb, 0x149b880f, 0x5d8d9a65, 0xb789f87b, 0xb6d40bc7, 0x958504dd, 0xd506c78c, 0xdc27f9dc,
+    0x8621e153, 0x92ad2ba4, 0xcb694944, 0x3f8024f1, 0x09ce5627, 0x140b34f6, 0xec786ff4, 0x35edf7d3,
+    0xa92c7a60, 0x0fe8a108, 0x50233d87, 0xa686ab52, 0x92c2ad2b, 0xc7369e1e, 0xde8ead40, 0x1ca44775,
+    0xfa25ba41, 0xdf5ccec9, 0xfc381483, 0xb7e29a85, 0x34af1b34, 0xfb649aae, 0x0aa8f233, 0xfd13ca08,
+    0xfe6a25e8, 0xd1a83407, 0x6370ff92, 0xcadbf6d0, 0x2b685dd9, 0xa1578858, 0x2f487758, 0xe1e1182d,
+    0xcb38ece7, 0x342abd30, 0x78e967f1, 0x83515d8f, 0xc050f0e7, 0x391c03ab, 0x0d336857, 0xf54ea852,
+    0x0478e90d, 0x586d0927, 0x2c89c59f, 0xa2eee3bf, 0x6dab631e, 0x326f7dee, 0x97cd2fef, 0x65ae3294,
+    0x1646471f, 0x2935e8c8, 0x87fd11c1, 0xc11e201c, 0xb8f0d43f, 0x0d9a8668, 0xd6e0483e, 0x06b62e76,
+    0xf108dc05, 0xe69c1474, 0x8b2353e0, 0x00f4bd94, 0x2c643f94, 0x25a49c43, 0xd2489e32, 0x3d2bcd5e,
+    0xabce38ad, 0xdfc97498, 0x8e1819bf, 0xef478560, 0xf37da212, 0x5acdb217, 0xc23cf591, 0xc9d947a2,
+    0xc41c1dcc, 0xa92220a6, 0xecfe0ea6, 0x5655ae1d, 0xbdb07d15, 0x3f6f50ad, 0xad053319, 0xcaea227d,
+    0x233eff9b, 0x71948c8e, 0xadb93673, 0xcede592e, 0xa87f3037, 0x06136185, 0x3d973c7d, 0xf73f528b,
+    0x3618978a, 0x093efeee, 0x7a887972, 0x09a008d8, 0x97984520, 0xe718da28, 0xfb078dd9, 0x5b68dfee,
+    0x99c6736b, 0xd2a3de7f, 0x76f73131, 0xb4472fae, 0x3fee5b6f, 0x7bd58266, 0xc9675e86, 0xfe855e54,
+    0xf66a9ba9, 0xd6695cd8, 0xb3333800, 0xb743a770, 0xbd946847, 0xbf383503, 0xc04156db, 0x8479a619,
+    0xbddfd619, 0x1bad9104, 0x2920f3c8, 0x6aa962e6, 0x8b757f51, 0xbe81236a, 0xe0013862, 0x9e32499d,
+    0x64f963e0, 0x4eacab6f, 0x951e5533, 0x3a97cd3f, 0xfce49f84, 0x65e46697, 0x7b7eae10, 0xa5822399,
+    0xb214ee81, 0xc6eb61ea, 0x8bb680e3, 0x4138f600, 0x155c68be, 0xd523f54e, 0x96af91a8, 0x7f338a02,
+    0xb022ae9d, 0x6a9df36e, 0x08c5776c, 0xd40707aa, 0x1c2298b2, 0x3c843613, 0xf68ececc, 0xb4bac070,
+    0x44dc8963, 0xe4e8b5e6, 0x61432b25, 0x04189de0, 0xc210b3a5, 0x2e1d2c3d, 0x81999f0b, 0xc03978be,
+    0xa6aec02b, 0x4b5c59be, 0x71d0cd04, 0xda61e6aa, 0xe34c0933, 0x1c5644b1, 0x57027d38, 0x78d6097c,
+    0x938db0f8, 0x2fb8d263, 0xcd634927, 0xcd60a48e, 0xcc247bcb, 0x0b574100, 0xd5ccd900, 0x0da12a08,
+    0x1c3957e8, 0xca25f250, 0x3150f083, 0x3359872d, 0x5ab3f377, 0x0561af5c, 0x06ad94c1, 0xf8e1c004,
+    0x7a1f57ec, 0xb95adfaf, 0xcc8173e7, 0x85c65d47, 0xe5388bbe, 0x72890053, 0x9fe801ce, 0xaa50ec5b,
+    0xbde4e1ec, 0xb351bb90, 0x926bb513, 0x75f3ac24, 0x887a5d2c, 0xf84d5804, 0xed0ac540, 0x652f66aa,
+    0x91fbc793, 0x78eedd74, 0xcf221f18, 0x6583057e, 0xbc6bb89e, 0xcce39882, 0xd9912c30, 0xbee4f4ce,
+    0xf90dc175, 0xc1530ed2, 0x423592b7, 0xfe37af46, 0x3c514d15, 0xa218ad18, 0x89e4b679, 0xb0a3e9a8,
+    0x00000000 }, /* 10**00000000000000000000908548405369508613186654759860005667942051700859147575351\
+                         86274897579911014174740415773881339220445695095315200783272241691825203576832 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53,
+    0xa46dab20, 0x20b9e167, 0x419943f7, 0xa77547ce, 0x8f892faa, 0xd8eb42f5, 0x850d7b92, 0x01597294,
+    0x00000000,
+    0x9358b608, 0x7268b32c, 0x7f2d769b, 0x025c902f, 0xe116e027, 0x7b2c6c90, 0xdf3a8042, 0x9191e627,
+    0xd4f5141c, 0x7cbb01d4, 0xb8ddde67, 0x0adc4a15, 0x94ac5a11, 0x3b2133c6, 0x7796e22a, 0xb7e554d7,
+    0x0bf6bc34, 0x4f986b08, 0xc10bd6ca, 0xefdcba15, 0xdc1fb052, 0xdf6d49ed, 0xe1ee40c7, 0xeb646434,
+    0x5e47e4ed, 0x01b46afa, 0x6b603fc2, 0x3564f3c6, 0x86447102, 0xb3cd26bf, 0xb780f260, 0x70195294,
+    0x57577ada, 0xeea9dca2, 0xf060e9d5, 0xba59cd0c, 0xf6509a7c, 0xa95b847d, 0xfdeecfd7, 0xce0148d5,
+    0x208a5304, 0x722122c0, 0x4ea67f5d, 0xf4af9944, 0x6a8ceb27, 0x47ef410e, 0xe8b33db5, 0x6a0a617b,
+    0x11f11817, 0x52c1e031, 0x71802103, 0xf474cded, 0x963fe766, 0x92da02d1, 0xc0222502, 0x47c2151b,
+    0x51713b0b, 0x4e1af065, 0x92b45979, 0x62afdf15, 0x6a23e2f1, 0x4e5d0454, 0x0ecab0e7, 0x395abe71,
+    0x35df07a1, 0x342c1668, 0x20a4923d, 0x192aab39, 0xebd49407, 0x52d8b583, 0x756a04e6, 0x9ed3f11e,
+    0x0247f909, 0x874acb7d, 0xd2fe4d7b, 0xf3fbb54f, 0x57d1d659, 0xd0dfd784, 0x4deda306, 0x6a5d6ac0,
+    0x547c6066, 0x7bfbcf5b, 0x45ee2cbf, 0xac7da49e, 0x44517feb, 0xcbc0eede, 0x71a54d29, 0xf785fce5,
+    0x2c811874, 0xf20689e8, 0xbbb9bc89, 0xf05badb7, 0x649eabe8, 0x60db8843, 0x690a7de4, 0x295ec24e,
+    0x9ce8fa15, 0x869971f0, 0x7315a24a, 0xe2e217ac, 0x3dca7768, 0x6d59a18f, 0xcb4f1b37, 0x43f488da,
+    0xa420d574, 0x607f1f1c, 0x5f0fb0a6, 0xd80b2362, 0x130fbb32, 0x1263304b, 0xc4841b48, 0xe1a6d72b,
+    0x352aa256, 0x395488d2, 0x047ae92a, 0x5af0ed5b, 0xd295829e, 0x33a2fd48, 0x9633ba1f, 0xaeb1f5cc,
+    0x26ac3dc1, 0x76b80cf6, 0x78ebcc40, 0x148c4aae, 0x0e98bedb, 0x432e4d44, 0x65308df4, 0x9b97f600,
+    0x722789b2, 0xcd6f20f5, 0x85ecc911, 0xbf6c5d29, 0xd413107c, 0x252be31e, 0x4b41df1c, 0x6301422e,
+    0x237971f2, 0xbbdd93b3, 0xe9f97bff, 0x663c2d3b, 0xb8aa8aba, 0xae90166f, 0xcb10a69f, 0x1b20a791,
+    0x92fa4215, 0x23c77d29, 0xb7b777ed, 0x052d5293, 0x5ef4ae79, 0x6f2a43f5, 0x31854f97, 0x012065fe,
+    0x49d783f9, 0x145c0244, 0x48188c77, 0x717a643f, 0xdf345d34, 0x8511f59d, 0xaf1e8e59, 0x2376d79f,
+    0xdce56b4c, 0xcd810df5, 0xbff7815e, 0xbce076d6, 0x202bf61e, 0x62f080e0, 0xb5dbaf22, 0x93e17e0f,
+    0x9de892a2, 0x38edf9fe, 0xb7c7d159, 0x01ea2259, 0x5da1a51c, 0x381727e5, 0xbfec768d, 0xbeaa60ce,
+    0x93f7b33b, 0xe7cf08bd, 0x88190249, 0x96eb2ee7, 0x73891aa0, 0x8329a5cb, 0xcc3a29a3, 0xaadf8fe0,
+    0x66f3ec87, 0x1809b680, 0x9f019bb5, 0x74521e32, 0xcaf2f228, 0xb8ecf4b6, 0x7c45df36, 0x6ec2ca49,
+    0xba2bc5e7, 0xd8160d83, 0xeab86d63, 0xded79905, 0xde47ab28, 0x28ded8d4, 0x74571adf, 0xb5495b97,
+    0x8205e1a0, 0x47dabff7, 0xd8ff4eaa, 0x7a4c4d67, 0x587170b5, 0xa35bea8d, 0x32c9e632, 0xc7f19bb1,
+    0xd21b2b7e, 0xdad9159b, 0xe47103e5, 0x6611e64c, 0x62aec37b, 0x28fcdf16, 0x1d63af89, 0x246984b4,
+    0x7be20cba, 0x182621ae, 0x083a9b0f, 0x9905eb73, 0x382c535a, 0xff77350a, 0xc71e3c06, 0x13c820b7,
+    0x468a5653, 0x0196e346, 0xf3b0a601, 0xaec0f173, 0xb3f48388, 0xbd308e41, 0xf45c1829, 0xfce0aee2,
+    0x7d705232, 0x636c0ad5, 0x5967b874, 0x2af758bb, 0xc2c5a6a7, 0xb82d606e, 0x484404f2, 0x2ce7a841,
+    0x4f53a8b7, 0xaf477b1b, 0xc5cd0f24, 0xfb4aa7ea, 0x12b2bdd7, 0x4f202595, 0x617fddfa, 0xfb76a1b0,
+    0x5ee62d95, 0xca5377af, 0x55e2deeb, 0x5fbf03df, 0x4269feea, 0xda3ca830, 0x7a110ea5, 0x2ac22323,
+    0xfb6e1274, 0x0e878453, 0x0ccb33c6, 0x2508e8ba, 0xbb9af837, 0x69ddf379, 0x69ab8e0f, 0x48070672,
+    0x85e8f770, 0x2c238aea, 0xfbf836f9, 0x78fd3da4, 0xe6a52e25, 0x772c713b, 0xb3fd931b, 0xc06e6822,
+    0x3fa7915f, 0x047088de, 0x00478ec4, 0x35075ee4, 0x9252672b, 0x34207fc0, 0x793a20c6, 0x653ef26b,
+    0x1d5f9f4d, 0xf6878491, 0x0f743d60, 0xf34a7a18, 0xce2e215b, 0x502b58cd, 0x26053233, 0xed84f6b8,
+    0x245e0ad6, 0x90cd7cb3, 0x72e0c047, 0x9855425a, 0xd2831ac8, 0x924cac86, 0x706f00fa, 0x5f885e7f,
+    0xa7e654eb, 0x3b97a1bd, 0xdd71d56f, 0xae2d97e1, 0x6dc4a9fb, 0xe1f4312d, 0x0e8603f5, 0xa64912b8,
+    0x871d06bb, 0xa08741ea, 0x70ab4307, 0xa2361f1d, 0x53c46db0, 0x4487e399, 0xd9f32cfc, 0x26e2120f,
+    0xb889a06c, 0x4340fea3, 0x5b3e8216, 0xca1711d2, 0x9eba8cb3, 0xd93c1528, 0xd28d132b, 0xa5447aa5,
+    0x201d364f, 0x3455357c, 0x2b032fb4, 0x54c65b4a, 0xd0ee8377, 0x2f605704, 0x2824526d, 0x45dd35b3,
+    0x98460a2f, 0x8ad48caa, 0x0237637d, 0x1f152f32, 0x0120b1c6, 0xc5039ac7, 0xb902a0d9, 0x82d2c4cd,
+    0x91beedc7, 0x9c3fc20b, 0xbf306704, 0x111d6b76, 0x5070e7b0, 0xca72c3bc, 0x9432b3ca, 0xc1ca59fc,
+    0x819be82d, 0xfa4e2fe8, 0x08c95b13, 0x85db5f22, 0xc1e8cff5, 0xeaac6345, 0x43d9b303, 0xdf325675,
+    0x873b42a6, 0x23b5ed63, 0xf674552d, 0x72568c17, 0x363a004a, 0x93826e9b, 0x73369581, 0x288087c0,
+    0x7dd1a464, 0xc94668a1, 0xc0c7988d, 0xbfbfd604, 0x2139e001, 0x5ccaafc3, 0xae38bd7b, 0xa4b57fe9,
+    0x60e4d6ee, 0xe8d22e00, 0x238cb347, 0x54a9e520, 0x9d32ad05, 0x0532ce68, 0x359df629, 0x31c12ecc,
+    0xa0a47da7, 0xc3fc2aaf, 0x2d795834, 0xd3e465c2, 0xbe4ddf39, 0x8210bb13, 0xefeb4c3f, 0x54564e21,
+    0x495e0087, 0x4ab04661, 0x6c1b1b51, 0xf26ce6bf, 0x437d5302, 0x3a5405d1, 0xd75855d1, 0x96e560e8,
+    0x15436486, 0xbb5bc7b2, 0xfbd1c5d2, 0x0303be5c, 0x01c4f357, 0x2d1be372, 0xc55a4220, 0x56f3bcfd,
+    0x3545fce4, 0x00c9e84f, 0x430658b3, 0x07c5248c, 0x1955392d, 0x24ac9b0c, 0xc55ce7d2, 0x0fbb373f,
+    0x27c72068, 0x3a50155d, 0xcf95cc1c, 0x941acc47, 0xe52fe090, 0xcaab44cb, 0x8f226ece, 0x2528ee87,
+    0x9d0ea895, 0x54ffeca7, 0xd57d6a38, 0x150f32f9, 0x53d5c690, 0xe549c861, 0x27d6cca8, 0x20d274eb,
+    0x688c4fe3, 0xbb6e3306, 0x48c7781b, 0xc82d21a9, 0x9aad6124, 0x3abbece3, 0xa0c7ced4, 0x308f6c54,
+    0x0c179c3f, 0xd9c6336e, 0xc825454e, 0x1a08497d, 0x546245aa, 0x34495c4d, 0xa9a98ece, 0xc3e1ccdb,
+    0x1a30781c, 0xb3127cbb, 0x4cfc5eaf, 0x66c6d428, 0x090878a0, 0x7ba05877, 0x3ab251f4, 0xa808d142,
+    0xb341fb54, 0x68e3fe46, 0xded462fe, 0xa73b048c, 0x634b0cc9, 0x199fcd8d, 0xe1ebad5e, 0xc51e36e9,
+    0xd153b5aa, 0x940a4be4, 0xd78f8fb2, 0x42400e4d, 0xbef19b52, 0x8cb460a0, 0xc5ecbad9, 0x5ade7d13,
+    0x189f12b2, 0xa42c2de1, 0x16f7fe45, 0x08ba4932, 0xe369137f, 0xf22428c4, 0x29b69f92, 0x6b8aa6a8,
+    0x2004377c, 0xd8c94769, 0xbf1103d9, 0x08d6f313, 0x8429f9bc, 0xddc7ab9a, 0x5f865c5d, 0x5121426b,
+    0x6b489f72, 0x789dafb7, 0x084f3635, 0xfedf0492, 0xb238337e, 0x7863e43b, 0x10d19aac, 0x79598993,
+    0x10f70f51, 0xdc192a58, 0x5fe7b611, 0x353188f5, 0x6f9033de, 0xc230bf9a, 0x0dd21e77, 0xe26ff5bc,
+    0x559dffa7, 0xe45b9545, 0x68646955, 0x0fba0d5b, 0xc131c182, 0x9d73c3fe, 0x05842ac1, 0xcbc5fb5f,
+    0x9dc0762d, 0x954cd681, 0x73042ad5, 0x9a78607d, 0xbee84d37, 0x29b139dc, 0x192f8478, 0xa91453ef,
+    0xcf3c30c3, 0x5e142bc4, 0xcf2e408f, 0x43540ed4, 0xbc377fcf, 0xfb3fcbc1, 0x946c6084, 0xf4323e32,
+    0xc5a97ce3, 0xdadd474c, 0x02219fe7, 0x719dd233, 0xf9c0a825, 0xb5291dc2, 0x39f53f42, 0x4c5e10b0,
+    0x063a0799, 0x6099c66b, 0xd9104615, 0x2cc8f2f9, 0xb2dc218c, 0x6136dd44, 0x5379eb4b, 0x5d0daca6,
+    0x373109c9, 0x7594b4f4, 0xed9c9cdd, 0xdd1d77d1, 0x22d14a74, 0x5f419f5f, 0xc32bb446, 0x511ef292,
+    0xa3ac6eb9, 0x6f247c23, 0xd79e1505, 0x7ee5a65c, 0x1d097787, 0xd9b16c32, 0x3714a58a, 0x8c491560,
+    0x092c5286, 0x69429bd9, 0x90838882, 0x1ae93c03, 0xc3c93f95, 0x88c975e0, 0xd4856184, 0x5d452a1d,
+    0xee5d0557, 0xef7aceb7, 0x5b1995ea, 0x04dc1fd2, 0xcfdba077, 0x020557f9, 0xf331c1e9, 0x1baa241b,
+    0x7011d112, 0x5b828bd2, 0xff3723de, 0xff43547a, 0xb2331499, 0xeb5c5e5d, 0x56964ae0, 0x097bb524,
+    0x8a2319e0, 0xa8593200, 0x61d8ed7e, 0x37968e0a, 0xca473fdd, 0xd9e782b9, 0x5f61abe9, 0x2c24c536,
+    0xb9ec8e2b, 0xcfa019a8, 0xe1157f03, 0xe35123b5, 0xda73bd30, 0x66dd5316, 0xd797c517, 0xf61701ec,
+    0xa0a89544, 0x61ec9db6, 0x564eeedc, 0xf3539f37, 0x6de6d944, 0xda563678, 0xaffbad23, 0x12734bb9,
+    0xa65113c3, 0x7e9c0953, 0x512f3814, 0x7d646f79, 0x36313856, 0x30334bb3, 0xf2e0de3f, 0x67c972bd,
+    0x878af465, 0x0868119e, 0xb1ecf501, 0x2da3585e, 0x742a109c, 0x4b6f56e2, 0xbf0f77a1, 0xa9bd35c1,
+    0xa7e8181a, 0x4281dbe5, 0x136fccfc, 0xd0aacedd, 0x7deb7820, 0xbe728fcd, 0x4f09fa11, 0xd114343b,
+    0x07ba6609, 0xa08f310c, 0xee7df5ab, 0x73f9dcde, 0x1da7a8dc, 0xfc2a0248, 0xd20b662c, 0x62804734,
+    0x533ae126, 0xeceafede, 0x90f2ef37, 0x5d9eea85, 0xee48957a, 0x9f905b4f, 0x5598dd67, 0xf96b3962,
+    0x45527d0b, 0x330a0675, 0x6fa96e08, 0xadcd885a, 0x5a8ef23f, 0xc5bc20ac, 0xfb09a7dc, 0x886473cf,
+    0x3d84be8d, 0x08e23419, 0xe737bee8, 0x393ee310, 0xe85bae1b, 0xf5a05785, 0xcf054a58, 0xa89bcdd8,
+    0xf7d4d2af, 0x1c988c91, 0x0a8f8ebe, 0x4d91ffc2, 0x5a574067, 0x61dd4126, 0x27fa8aba, 0x05b8d7c8,
+    0xe4228742, 0x100c9879, 0x454b1285, 0x4717b6be, 0x596c3b38, 0xbaf6cd3c, 0xa83e8274, 0x331ecd0d,
+    0x3393af38, 0xad3b4487, 0x396a96d0, 0x40768ab7, 0xf5fe7bbc, 0x431791ab, 0xb0b72ef1, 0x9f57dc27,
+    0xdeb88f5d, 0x23cd5441, 0x5a181f8b, 0x660ef4b1, 0xb2ff28f8, 0xc23083e0, 0x1e4b6cec, 0xa1006c5d,
+    0x61aecb97, 0xee2c3590, 0xf2fdf158, 0x7ff0a265, 0xc2af7f34, 0x9aa9419e, 0xd7c7fb09, 0xcdceb6b0,
+    0x1c8335b3, 0x5bee0bef, 0xebf23bf0, 0xe0a10063, 0xe9b95c28, 0x12e5923e, 0xa296f183, 0xc58d6bbd,
+    0x100edd65, 0x7332a9ab, 0xf5e48c27, 0xa75b9f4b, 0xddfd5589, 0x12e1c0b0, 0xb1d07ed6, 0x08c3c906,
+    0x3e175f3c, 0xef7cec81, 0x7b1dc578, 0x30a119b7, 0xc083b196, 0x640f6d7c, 0xd25bf5b7, 0xd0d54805,
+    0x152cf500, 0xa9f94f23, 0x8417cd99, 0x17d04275, 0x855204fd, 0x18b33eb9, 0x57633d3c, 0x77643d64,
+    0x4defa17f, 0xb487c6a4, 0x01317f43, 0xcf077254, 0x7fe0590c, 0xd722af4c, 0xa18a1c25, 0x5288a32a,
+    0xd37b9304, 0xcbe85ebd, 0x426f69b4, 0xaf60ff5f, 0xae51f86c, 0xe0339c28, 0xf5c7bfa7, 0x2246c44b,
+    0xe4edbbad, 0x1aea1375, 0xb71a5846, 0xc3d3a1f3, 0xb8107ac7, 0xe5da67c0, 0x5cfe2033, 0x5c14c5da,
+    0x51b36b1e, 0xf54277bb, 0xf864199a, 0xa21a8de1, 0x394c80a1, 0xbdef8939, 0x316be450, 0x5b87efbd,
+    0x70fbcc8a, 0xd9c76b58, 0x0ead5cc8, 0x1e9aac8f, 0x3291c923, 0x4d63a8a9, 0x2982ae0c, 0x7ef3bdf9,
+    0x943dfb4e, 0x97180c18, 0x290a7fdf, 0xe33f4bca, 0xf15d4295, 0x401a2a14, 0x3ed82b9d, 0x56b61c46,
+    0xa869c458, 0xd458ad3b, 0x9ea6e7cd, 0x222cbeab, 0x89d8edb0, 0xe7d56430, 0xb9655b86, 0xb9a9a655,
+    0x8ce60332, 0x710329e1, 0x6acd0b87, 0x194ecf1a, 0xc2325bd1, 0x146d65f9, 0x5ca9b645, 0xa1226129,
+    0x64edb0cb, 0xf244bd66, 0x5b7d6148, 0xe981c890, 0x72c7ea05, 0xac7f25ea, 0xc9a12721, 0x33df6ce8,
+    0x969ef541, 0x81f0001f, 0x5b823d7f, 0xc5c78bfc, 0xb4316e3a, 0x9f040f3e, 0xf4e538b8, 0xaf014387,
+    0x1a43e82f, 0x37115784, 0x922075e5, 0x48b11116, 0x89e50e09, 0xa19ab90b, 0xc15c5f5e, 0xf4f8ed68,
+    0xdb78a1a6, 0xa6448926, 0x2aed88e7, 0x4f0d6d9b, 0xdcf0db85, 0xd94aa0d7, 0xa80ae261, 0x37077cde,
+    0x2460606d, 0x73c65828, 0x667f4a80, 0x9fa1d761, 0x4d236d1b, 0x79c63697, 0xeb35e413, 0xe9e55aa2,
+    0x26fcb99b, 0xd0c6bc2c, 0xb81aa798, 0x8b471119, 0xacae010e, 0xfd32de67, 0xadd14d27, 0xe18d2a14,
+    0x444c2a4d, 0xd996e9a5, 0xe7e9f1dc, 0x16744ec7, 0x243573f9, 0x8aafe087, 0xa63b72a5, 0xde90998c,
+    0xc8749be2, 0x5c2adc92, 0x983821d0, 0xbce8613d, 0xba085185, 0x723a9e8b, 0xf247498b, 0x44d72c1f,
+    0x54073f2b, 0xe57ebe33, 0x82ae1389, 0x3c29c35c, 0x81b946ec, 0xbc49fcc0, 0xeee72b48, 0x22e10ea7,
+    0x14e6940b, 0x3d4b283e, 0x6c88a045, 0x2e54b6d5, 0xbd75367f, 0xca23a225, 0xe0e12cdc, 0x42a4ab28,
+    0x187a1998, 0x251e8b16, 0x9b5e6cfa, 0xf111dbac, 0xa0f3f687, 0xfd692a7c, 0xff71d481, 0xc82b62f5,
+    0xa649c025, 0xacb7dea0, 0xa0ed4f39, 0xa4791f45, 0x2db9423d, 0x1d7e7736, 0xaaaca7f3, 0x50e5d268,
+    0x3949b3cf, 0x4428a435, 0x85f29e35, 0x1d3ac89a, 0x59dafa32, 0xec8541eb, 0x7cc9aba2, 0x6eecd6df,
+    0xbb44bf5a, 0xb75ebe24, 0x4f144d56, 0x93e17c55, 0xaee5eab3, 0x44c80fd9, 0xe95ae016, 0x94977e39,
+    0x0f635454, 0xf9a8558c, 0x93a517f9, 0xd15f6763, 0xf06b5f4e, 0x0f608591, 0xc09d5f55, 0xc2b9e189,
+    0x336a8f03, 0x6c7f0f33, 0x7dd87eaf, 0x697c82fd, 0x2a7315df, 0xaf35e8ed, 0xbe3c52e8, 0x1cf7c105,
+    0xf9596410, 0x96c0e224, 0x3e85e814, 0x8ea2c8f6, 0x8ca733b0, 0xa1edd535, 0xdf4f8a6e, 0xdac905e5,
+    0x6cb63c89, 0x104fe9dd, 0xbf505907, 0x3cd5b840, 0xd5d02efa, 0xb6cf95de, 0xbde4aa46, 0x31f9ee8a,
+    0x677264cc, 0x6b19c89e, 0x17e50d43, 0x3e47153e, 0xe655b8dc, 0x0fe5b9d5, 0x1d42410a, 0xd499069b,
+    0x23133bf8, 0x70e265f8, 0x935a72a4, 0xfec22d77, 0x81ef5813, 0x4cb56c5a, 0x7e0275e3, 0x6629c74a,
+    0x4850cf3e, 0x132d2b5c, 0xcbbc5a09, 0x1f0aa178, 0x72df8c1a, 0x7004b532, 0x3e5fa384, 0x0d17b9c0,
+    0xa3a5ca58, 0xb8d1e4f2, 0xfb99555d, 0xcb1a72df, 0xb23f2d8e, 0x453c7f47, 0x81353151, 0x209d3e8a,
+    0x00b73369, 0x3bc31eb7, 0xa0821bb5, 0x74148ac1, 0x103f8749, 0x42d12d0f, 0x279cf08f, 0x25a85798,
+    0x5fc456e2, 0xb7e6dbf6, 0xb2d541c2, 0x11dda8f3, 0x2efdff7f, 0xec0685c9, 0x35f84b98, 0x797bfb4c,
+    0xc9cc1edf, 0x6c7cea25, 0x0ba7b2f0, 0x2c56b25b, 0xd2442b31, 0xe429ca87, 0xc6d87423, 0x5f6fd374,
+    0xa9755487, 0xf37b4f0c, 0xaabc1bfc, 0xac0f15e1, 0x8a71b740, 0xb0b210a7, 0x05d4c785, 0x8ede1e7a,
+    0xc4693f81, 0x6a5fa608, 0x69644704, 0x47893ae6, 0x55ba34e6, 0x73486bca, 0x42388d04, 0x1f88e42b,
+    0x00000000 }, /* 10**00000000000000000000454274202684754306593327379930002833971025850429573787675\
+                         93137448789955507087370207886940669610222847547657600391636120845912601788416 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9,
+    0xd236d590, 0x105cf0b3, 0xa0cca1fb, 0xd3baa3e7, 0x47c497d5, 0x6c75a17a, 0xc286bdc9, 0x00acb949,
+    0x00000000,
+    0xc237dc44, 0xa8802501, 0x950d971b, 0xff3a2953, 0x51b022d4, 0x32772605, 0x8e0be0e4, 0x0758cfcb,
+    0xb3a9ba3b, 0xe6a3c36a, 0xb6243a5c, 0x4c6351cb, 0x70ca3c43, 0x4068465c, 0xaf158959, 0x5db0bdfd,
+    0x290d9b0c, 0xb26208c0, 0x7e437325, 0xe744b7ab, 0xeeb68786, 0x85df33b7, 0x75712f16, 0x5817fc01,
+    0x178cad52, 0xdbca4d91, 0x7e01bb27, 0xf360cff7, 0xdeb1eacf, 0xecd512d7, 0xc2b9f667, 0x2b9d0f66,
+    0x767a26ba, 0x50dbf844, 0xd9a3ebea, 0x298d921f, 0x38f18948, 0x45e21353, 0xeefa38fb, 0xac73e5ba,
+    0xaded1965, 0x7d2c25fe, 0xf9f584a5, 0xbb1fa263, 0x186da9d1, 0x195a568f, 0x8af52d91, 0x66484c78,
+    0x8cfb6e7f, 0x5fdc02a0, 0x22ad2f5e, 0x0305d496, 0x53a40228, 0xfc62cb63, 0x3d36f5fb, 0xa8b64306,
+    0xce591d1b, 0xeec77694, 0xfe822078, 0xdbb5fc1b, 0x1e1df0d4, 0x63b7b301, 0xb794b843, 0x191228e9,
+    0xdbb355fe, 0x86111a73, 0xaee3ac9c, 0xae64bc36, 0x3dacbab0, 0x5891283d, 0x24ef2ed2, 0xa379cfa4,
+    0xab14320f, 0x54e4976d, 0x7154f8b0, 0xb902c35f, 0x490b36d3, 0xf51e2135, 0xc4337c27, 0x27395148,
+    0x88209df0, 0x8a42035c, 0xb9991e33, 0x21b6646c, 0x42ba583c, 0x190ff81c, 0x95c75a5d, 0x5808e35a,
+    0x15bfa6a9, 0xfeb75cb9, 0x12d1676b, 0x8dce69cc, 0x5dfa3a52, 0x479e614b, 0x8906341b, 0x8a1187ae,
+    0x9a7ec807, 0x0a82358e, 0xc189e77b, 0xaba54aba, 0xef01a74a, 0x131ad13d, 0x23378d6b, 0x242757d2,
+    0x2f3b9675, 0xac3da953, 0x089e2117, 0xba2ef112, 0x858d8589, 0x78be9962, 0xf60d7fbc, 0xa0732c7c,
+    0xe479232c, 0x5fe7ca54, 0xc1134112, 0xb772de79, 0x1f390a51, 0xd2eb4847, 0xd3132493, 0x2dfe7a08,
+    0xa2fbfeda, 0xd53c6085, 0x8bbbe3fd, 0x73e8bab6, 0x475c2a64, 0x35260ee9, 0x3d1971f3, 0xe27c9398,
+    0x67f3fa39, 0x8ab39302, 0xc7836264, 0x885bdfb8, 0x928a66af, 0x7472ece8, 0xbf3842da, 0x4ea2af16,
+    0xe4cee109, 0x17077316, 0xd91d4bb3, 0x43794a95, 0x97de6353, 0x848300e3, 0xa7127e33, 0x7938ae0d,
+    0x80fb3b57, 0xaa334904, 0xb0c987ed, 0xfde46a0f, 0xd66b7948, 0xcd87ca50, 0xa86362f5, 0x9e787949,
+    0x49ed894d, 0xd820d4fd, 0xc4bae494, 0xe2972403, 0x12fab799, 0xde4c61d6, 0xb5bbf458, 0x8cb293b1,
+    0x8cecad73, 0x20665d8b, 0xd276aee3, 0x4396922f, 0xcbd1ddda, 0x1c74c72e, 0xae7ef8f7, 0x5ff31f98,
+    0x5bd28afa, 0x5437f922, 0x71584e42, 0x3253ce53, 0x9fbb279d, 0x90baf0ce, 0x574d709c, 0xb3677b5f,
+    0x960969bb, 0x7cda1eec, 0xb3699bda, 0x81ccac8d, 0xcf620343, 0xf0ea9d3c, 0x92b0cbe5, 0x803bfed3,
+    0x2225faf0, 0x7ce829ca, 0x8bbaa307, 0xf716c836, 0xf7408b4a, 0x16f1a3a7, 0x771703a8, 0xb12b303d,
+    0xcbaa4809, 0xdbde0d87, 0x85fe8f9a, 0xfa59bc29, 0xeb38e2d1, 0xde6e56c3, 0x3469eb45, 0x7b3d747d,
+    0x3ff30095, 0xa6caf4fd, 0x053d70c8, 0x68cfaf45, 0xf61bf8d2, 0x1a59bdb6, 0x4f048df6, 0xf393ebd3,
+    0xa1e82040, 0x0b7be7f0, 0xd4c4dc85, 0x12a579bd, 0xd51d07c9, 0xf2673a8c, 0x725c93eb, 0xb076f023,
+    0xf0fd3d65, 0xf41be937, 0x52493d49, 0x1025c587, 0xb508b347, 0x1df126f5, 0x7bc65b40, 0xf9b10e21,
+    0xc99ee122, 0x780225be, 0x4b064a2a, 0x5658659f, 0xd6ff3e95, 0xc1c3336b, 0xb42abb70, 0x71e6c2cd,
+    0x2f2f3126, 0xaa32244b, 0x782f4124, 0xc6cc7b91, 0x11cd54c0, 0x10627e5b, 0x16c295e9, 0x1bb24fa4,
+    0xf2b9adb1, 0x1b9dbcec, 0x66149615, 0x59a91de1, 0x3ae514c0, 0x629aa193, 0xcce710d5, 0x8e9eff8f,
+    0x53f8eadc, 0x1f4b4f04, 0x146631e8, 0x4773ae19, 0x828d2f80, 0x709c2d7a, 0x5e3e712b, 0xef71df53,
+    0x6708f48f, 0x2de6b48e, 0x1a702598, 0x90d844ae, 0x50a0dffb, 0x8e18f903, 0xe46635de, 0x5f82707b,
+    0x20c13cfb, 0x599de62d, 0xf3856649, 0x10b37588, 0xede3e402, 0x1b3ab0b8, 0x3e639606, 0x4490f8a8,
+    0x18531bf4, 0x354e3e6c, 0xd3e09028, 0x2cf8042f, 0x243ebf12, 0x11a3646a, 0x77e59bc4, 0x0f078504,
+    0x69453456, 0xbcbbc573, 0x4448f5ab, 0x35e9e265, 0x01fa4e7b, 0x955c33bc, 0x290e4682, 0x2589fccb,
+    0xc1cb5623, 0x01d04cdb, 0x0e463423, 0xafde3ae0, 0xa8e0a780, 0x3540c403, 0x1875345c, 0xc4935dd3,
+    0x35e1a7ff, 0x3bb252a1, 0xd244cc77, 0x79339395, 0x19f95dd8, 0xe89b1b9a, 0xaf8bdd89, 0x353fa062,
+    0x8fd17c2c, 0x45c68d5b, 0x250192c7, 0x4161024a, 0x11ec0d9e, 0x1572f3a6, 0xc1a773e0, 0xe0703860,
+    0xb08af110, 0x56005d2a, 0xac55c8db, 0xd5fd3675, 0x8c08b4e5, 0x5a5efbfb, 0x1d91e5ce, 0x95485c23,
+    0x0b2b11a3, 0x39b6a022, 0xb4c97cda, 0xe6a97151, 0x304e18c5, 0x81efe936, 0xe5fc371f, 0x036aef08,
+    0x8c5b1cf4, 0x78826c8e, 0xb8b50345, 0x5d193335, 0x87834480, 0x51c2d6a4, 0x1365c1b0, 0x22850d31,
+    0xa3627ad2, 0xb8a15893, 0xe3def533, 0x91bd283a, 0x173916cb, 0x25554beb, 0x151361a7, 0xd1880084,
+    0xf2652da8, 0xf4c0406b, 0x968a23c1, 0x6671fd26, 0x89c7d0f6, 0x1d8f02ad, 0x1822e1d2, 0x83d3410a,
+    0x8067ff31, 0x84e03637, 0x9372d323, 0x3bc7baac, 0x085ef7a2, 0xc6f1d24b, 0xba28b07f, 0x860e072f,
+    0x9fa0430f, 0x038d96d2, 0x02f23fcf, 0x8c795f67, 0x23b385fe, 0x74a7ea4d, 0xa1e0bcca, 0x887b4160,
+    0x479b8d24, 0xd6b63a4f, 0x92752611, 0x076f6914, 0x986137a3, 0x070ab932, 0xd9903f8c, 0x85286700,
+    0x2661de29, 0x5bc4df85, 0x91e0c149, 0x8e7619c0, 0x643d51db, 0x51ef815a, 0xbbc3194e, 0x81b5dce0,
+    0xbf1465c3, 0x71cc0c18, 0xaad9930c, 0xf29767e2, 0xeba1e68e, 0x661e86c4, 0xa86af065, 0xed786cc7,
+    0x7e07a0e4, 0x60b524f3, 0xe260fe1d, 0xaa69dd6c, 0x7d8bba81, 0x768c7244, 0x578ae8f1, 0xb600e170,
+    0x8eadc4ac, 0x37ee966b, 0x15a97520, 0x319441c9, 0x057999e1, 0x4aeff878, 0xa66e75d1, 0x664a963a,
+    0xe7bddcbf, 0xb20820ec, 0x81a12fe1, 0xf4ae0fbc, 0x23bdf705, 0x15dfd9da, 0x335e680b, 0xcbbd458d,
+    0x487f8ca1, 0xaf54271d, 0xe95714ff, 0x3be84534, 0xd60c017c, 0x1359d3b5, 0xf78810d0, 0xd4e341cb,
+    0x6e55130e, 0x8693157f, 0xf16521c7, 0xd6c19d53, 0x6ea4eb00, 0xb294fd79, 0xfb5978b8, 0xe8e9e870,
+    0x46919fff, 0xa2ddb8a6, 0x22541c31, 0x0ba93344, 0x88620ee4, 0xc8efcde6, 0x55280f34, 0xc6b80804,
+    0xf97bd452, 0xc6e29388, 0xd8d02020, 0x90a5fc5c, 0xc6da8a4b, 0x8ee9b5d8, 0x664fddac, 0xf1d9081d,
+    0x7de7600d, 0xecbcb45a, 0x247ebbac, 0x7ae96d50, 0xe3b7d64c, 0xb9f5d2cf, 0x9ecab8c0, 0x77a4fae6,
+    0xc0965ab9, 0xf66c27d1, 0xf0a18268, 0x238a87c1, 0xb18831a5, 0x286ef7d5, 0xe522c952, 0x59a23522,
+    0x8c4cd05a, 0x292d993c, 0x92ef6396, 0x6ba093bc, 0x31430be7, 0x529e7b70, 0xc53f7a98, 0x8d6e7bf8,
+    0x83a89fe3, 0xadf4213a, 0xdd845d39, 0x82b475af, 0xf9c424e0, 0xf340c53f, 0x94984a48, 0x1e27f159,
+    0xc4ce3f8c, 0x96e4d4a4, 0xd7edc650, 0xfae41ed9, 0x5903cb6b, 0x7950697a, 0x4ea35673, 0x1d85d866,
+    0x485a73fa, 0xa438f550, 0x6bb1a7ba, 0x3dccd124, 0x357da004, 0x8ce95aa5, 0x86557028, 0xe951234d,
+    0x1cecec6a, 0x4d1338ff, 0x8ef2e827, 0x1ad17a67, 0x83232fad, 0x52927cc4, 0xbc3557a5, 0x65b8cf79,
+    0xbc2bb87e, 0x5cf3d952, 0x73960087, 0xc8b6c87b, 0x0ef739c9, 0x53e421ae, 0x994be70a, 0x17ef60a2,
+    0x0b834464, 0x472dfd27, 0x56fcfc48, 0x441c5d73, 0xfb01bb4c, 0x291719c5, 0x2e172f26, 0x1ae2f172,
+    0x447e61b5, 0x34dd2747, 0x52704bba, 0xab58bde8, 0x7b262ba2, 0x76e8d210, 0x78445414, 0xafb52651,
+    0x550b15fb, 0x16b21689, 0x08f5c211, 0x80454762, 0x6d359036, 0x9c7cb48e, 0x09ca17ee, 0xfa6beb1b,
+    0xb71f9324, 0x71694f7d, 0x3dc1a3d7, 0x2f687c21, 0x8b8439a7, 0x0a0f7942, 0x3177985f, 0xb4128382,
+    0x547a35ca, 0x58328318, 0x63124557, 0x113c85cb, 0xff97af3b, 0x2ab2a3f1, 0x2bec7197, 0xdde29c9a,
+    0x8fe94b56, 0xd178193a, 0x49b3d5f7, 0xd4efb259, 0x1611661f, 0x78a07aff, 0xa83e01e5, 0x076aede6,
+    0xddc26121, 0xc388f9ac, 0x881f4148, 0xa91efc55, 0x509f2db8, 0x60c1db63, 0xeeebf775, 0xdb464a9d,
+    0x6d518393, 0x53c362ed, 0xbf10b9fe, 0x99796b18, 0x44521ace, 0xa63affe4, 0x193f6729, 0xcb35605c,
+    0x3337a296, 0x612916ad, 0xa37be060, 0xd1222472, 0xdebade6d, 0xda07d0e5, 0x4bcfd8e6, 0xb5352ce9,
+    0xe9c48ebe, 0x765fd45c, 0x70407e5e, 0x9c01b950, 0xd4dafccd, 0x73dab7b8, 0x67f27af7, 0xf3b5764e,
+    0xa328c021, 0x40a68e39, 0x7c2cd360, 0x3962ed46, 0x5615f720, 0xcea7d8da, 0xcea702ee, 0x09b3c13a,
+    0x5ba8d0df, 0x9f2df013, 0x3e1a9897, 0x9d3171c8, 0x3b345f64, 0xff0d8b3d, 0xc065c2de, 0xfe0bd134,
+    0x2710ff8a, 0x2ff9b1b9, 0x761ba789, 0xa7111442, 0xbddfa307, 0x1689917e, 0xcdabcd12, 0x7f6c37e6,
+    0x98694202, 0xa9689a97, 0x766ab47e, 0x11a0788d, 0x68c02e9e, 0xbb8760cb, 0xc9ae2121, 0x2d3b2b9a,
+    0xdd2c8fa9, 0x246e68dd, 0x1936b0bb, 0x48679873, 0xc88a5aab, 0x2de74e08, 0x50449ec2, 0x4962c2ca,
+    0x5d1cd2eb, 0xe49e9770, 0x3a278bcf, 0x5159dcc8, 0x94dc336d, 0x9a8447a0, 0xa86d7aed, 0xb3a13c2b,
+    0x07b38722, 0x747b781c, 0x28db522d, 0xb7a31b7f, 0x486b31e5, 0x518395ac, 0x550520a2, 0xc47f6306,
+    0xde9886be, 0x9d878bfc, 0xca0c33f6, 0x0d9ba8bf, 0xe34d02b9, 0x3bbf8951, 0x618428a1, 0x00ee2e00,
+    0x604ff467, 0x3a11769a, 0xf75d9b4c, 0x213db990, 0xdf909b2c, 0xd5b447ce, 0x1585dc39, 0x685d870a,
+    0xe691940f, 0xa302da42, 0x6ee278ee, 0xef1a185f, 0xfc566157, 0xa1264935, 0x42e912d2, 0x04433a95,
+    0xfa380efc, 0x1572056c, 0x29336d85, 0xb442335b, 0x80833e3b, 0x51c85f40, 0x2854648c, 0x6c42516e,
+    0x3cbf38d0, 0xcc74eaca, 0x5b837bf2, 0x0f25c503, 0x17a41185, 0xb3a4ca72, 0x7cc263e0, 0xd128ea84,
+    0x620852d2, 0x7de33e37, 0x9ff7b199, 0xe2c79d7e, 0xd9288e26, 0x98dbec04, 0x5221c6a9, 0x48fb1333,
+    0x5a88d8a7, 0xc97307a9, 0xf3f2b04c, 0xd7e304d3, 0x2fa7fb96, 0x6e9d3bb6, 0x8d6d6cb6, 0x77ea242c,
+    0xf59f738c, 0xbcefe7c8, 0x20506665, 0x25d0c3cc, 0xae1fc6a5, 0xe7671420, 0xa20cec7b, 0x7cdcfe4a,
+    0xb42a3f07, 0x757aa17e, 0x967970ca, 0xa3108b8d, 0x2ee40f9e, 0x4093a364, 0xfea2dfd8, 0xda201e93,
+    0x19ed1d46, 0xaa07bd74, 0xc39033ed, 0xe2387b55, 0x137fdd11, 0x44781e19, 0x6b53c9cf, 0x4501ee83,
+    0x12b8faf5, 0x3663d6cf, 0x13912d33, 0x043dc3c3, 0x9beb92b0, 0x487158a5, 0x6a72adfa, 0xe3b8f0eb,
+    0xd0f4f95c, 0x1582abf1, 0x09407566, 0x86637170, 0x9b9ad6ae, 0xcb9b7f0d, 0x41d8f3d2, 0x8ad35e65,
+    0xd693e6ee, 0x4fb07e74, 0xf8909adc, 0x7317eb2c, 0xb9c572fe, 0xfcc1fe5b, 0x6e5375ab, 0xf0699cf0,
+    0x21c90015, 0x7094983d, 0x8b8e2b07, 0xf085ea0d, 0x380cc321, 0x3fda16ee, 0x08c5d022, 0x15ed971f,
+    0x7e05716a, 0x6267af17, 0xfb0ae16b, 0x7c0671a6, 0xf071eee0, 0x76f826c9, 0xf3ba3fb6, 0x771cf6ee,
+    0x3aa6bc4d, 0x0adb92d5, 0x574d6706, 0x868c59f7, 0xac16e4da, 0xa86247e8, 0x1cc7228e, 0x606686de,
+    0x70b2625d, 0x161f0fdb, 0xe50121c4, 0x07d6bbec, 0x3f51c710, 0x9afd88ac, 0x68378cac, 0xc9c6a7ff,
+    0x847066a7, 0x8b4ccd40, 0x9766f733, 0xbb226c6a, 0x3ec91674, 0xe11d7607, 0x59b9b7b4, 0xe0a99402,
+    0x38d92e0f, 0x24d1ffe2, 0x67b20506, 0x1c5e941f, 0xe3da81ab, 0xdf1ef638, 0xc662b8c4, 0x4a31b6bb,
+    0xcde17340, 0x80fbb4a5, 0xc2e0d610, 0xf53339dc, 0x45bf0106, 0xdb070076, 0xc2e2667b, 0xe143a2ee,
+    0x65ec6d24, 0xb94405f2, 0x2307ffe7, 0xb604a4a1, 0x6ad1ff2d, 0x18679b2d, 0x44996b7b, 0xedb45ec5,
+    0x14bf3450, 0x749f723a, 0x17f5a53e, 0x3d876bbb, 0x98803fed, 0x39903c45, 0x1b642b54, 0x943ba639,
+    0x72139473, 0xc28cee59, 0x48345c39, 0x5da945b7, 0xa21edf82, 0x2868a177, 0xbd7b438f, 0x99bf3151,
+    0x8f5382e4, 0x8fd21564, 0x35bced9b, 0x8104f3c0, 0x54be146a, 0x50535f03, 0xced27ddc, 0xbae79abd,
+    0xbc47e409, 0x2b3a9029, 0x4e61493e, 0xdf3516db, 0xdbb41b6b, 0x57745048, 0x14a7e04c, 0xe7c88bd2,
+    0x3bdb43a9, 0x1205c9d7, 0xd03a4a03, 0x8638d5df, 0x74a7c8ba, 0x249bd401, 0x46ff58cf, 0x16813938,
+    0x627ea397, 0x8b16dfb9, 0x2cc9b4ad, 0x007dfb09, 0xa65cfd3a, 0xf9fcbb80, 0xd9ba614c, 0xaa9013eb,
+    0x59687406, 0xc30e47f7, 0xdf5f9c56, 0x383579f1, 0xb24d3dc6, 0x56ee5893, 0xf4a23de7, 0x4e269d04,
+    0x2dc1844b, 0xc5cc2238, 0x61e19a9a, 0x9a027296, 0x6eed7925, 0x227e1034, 0x027922c4, 0x94ae7c12,
+    0x60c0f04b, 0xa9f6f074, 0x1fc8766a, 0x5553732d, 0x97b6590e, 0xe7812417, 0x5dee81ec, 0xfab5a8d3,
+    0x4e35d4b9, 0xc70bc7f1, 0x89ee2fd6, 0x9331aeb7, 0xb5f3f941, 0x6425ad05, 0xc3ebf59c, 0x466b5d92,
+    0x1707c58d, 0xbe62c7ee, 0x0d2fa2f0, 0xe4f441f0, 0x9c045e85, 0xd4ce0d2e, 0xd220359c, 0xe0c1d48b,
+    0xb5745253, 0xd48621f6, 0x567d6166, 0x02149dc5, 0x0ebcd86a, 0x751b927e, 0x5aadde89, 0x9540f70b,
+    0xfe32f234, 0xf915c060, 0x4c6096ae, 0x2acf55cb, 0xd6747a00, 0x7648eedf, 0x19baa1fd, 0x4b8738e4,
+    0x3397edec, 0x04080bd8, 0x30c75b1f, 0x9bbcef39, 0xe1747328, 0x85870d90, 0x36449106, 0x777505ee,
+    0xfc5c85ba, 0xd64cbb1d, 0xd3b3dba1, 0x80c44541, 0x2c1e2672, 0x50158715, 0x392577bd, 0x4c8ab1b4,
+    0x4f5edae5, 0x2334d960, 0x89c180ee, 0xbf8edc4b, 0xfec8b2f2, 0x33c58e55, 0x80b9cad2, 0x93002b9a,
+    0x9c0ef011, 0x6f3bc93c, 0x4964e4fe, 0xc272e7db, 0x5c86cce0, 0x90359a48, 0x28171f14, 0xd6869992,
+    0x9c0da890, 0x1b2e6c92, 0xd3ab2cdf, 0x64e59185, 0xb476021a, 0x499b4efa, 0xe6541e8b, 0x69ca7fb6,
+    0x3503ef17, 0x6ed67a9a, 0xc6d9172a, 0x19381684, 0xfc011616, 0xaf18dd3b, 0x6a2b20f8, 0x8452fa8e,
+    0x4b1924d6, 0x0115f1be, 0x1891b718, 0xef361f17, 0x45039e78, 0xe6964eb0, 0x47dee89e, 0x1468787b,
+    0x0540bf4c, 0xcac16f41, 0xcce648e0, 0xafbf1bdd, 0x2ecbbbd2, 0xc0088f0d, 0x0c76c42d, 0xe5df4606,
+    0xf6866770, 0x4c34e95d, 0x06af9b7a, 0x0458a75c, 0x7c1f971c, 0xfe4b3086, 0xbcbde644, 0xfee88d67,
+    0xbb8bb279, 0x6e0d6352, 0xded7da73, 0xb6a54527, 0x8261090e, 0xc93507d3, 0x7ea6b491, 0x842a5f8e,
+    0x3fa88e75, 0xefaca7ce, 0x16bb53c9, 0xd76adee2, 0xbef1473c, 0x88e17e68, 0xaafe65ff, 0xd7002d14,
+    0x00000000 }, /* 10**00000000000000000000227137101342377153296663689965001416985512925214786893837\
+                         96568724394977753543685103943470334805111423773828800195818060422956300894208 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4,
+    0xe91b6ac8, 0x082e7859, 0xd06650fd, 0xe9dd51f3, 0xa3e24bea, 0xb63ad0bd, 0x61435ee4, 0x80565ca4,
+    0x00000000,
+    0x9dab9a2c, 0xd6d33df2, 0x6962d1f7, 0xc7ed8745, 0xc0a1b677, 0x18de94b3, 0xd734170a, 0x111ba7d5,
+    0xc6d11456, 0xad69cf36, 0x954771fb, 0x2deacd50, 0x373ab516, 0xeb1fb95c, 0x307c90dc, 0xf0593f2c,
+    0x7f8e22b9, 0x655eedfe, 0x1bee9f1b, 0x772c7f7d, 0xbae3f292, 0x5b603d8e, 0xb06367e9, 0x37be551f,
+    0x2e00a7a1, 0x008af7db, 0xbc47c4e2, 0xd85718a2, 0xa0685e73, 0xebaeab93, 0x34039e00, 0x6fc31f9e,
+    0xb59a3624, 0xcdc8d39e, 0x98bde1f6, 0xda3c9fc2, 0x77292a35, 0x906c9842, 0x2994a825, 0x18b32f38,
+    0x3ab25b2c, 0x9322cc61, 0xf8539771, 0xd4ddda37, 0x133ebbd4, 0x8b932e8a, 0xeb1a411e, 0x03a9d87e,
+    0xca74760e, 0x6cd75eda, 0xcdd51bca, 0x55d7c238, 0x01e60a2c, 0x01780d5b, 0xbd8ce202, 0x640cb987,
+    0x26175cc2, 0x6c38bdd8, 0x58a0863a, 0x90bfe065, 0xced48dd1, 0x9d539182, 0xe9410ac0, 0xfbb3d19c,
+    0x9423f8e2, 0xb16008b4, 0x1c0697a7, 0x40372a87, 0x8515913b, 0x0827efe5, 0xe62741c2, 0xc730573c,
+    0x78aa4be5, 0xc5cc0047, 0x82163ca4, 0xa2cf6249, 0x063fe865, 0x7e113601, 0x21276d02, 0x4616b99c,
+    0xdef0f4b8, 0x7286adf1, 0x52c54d5d, 0x044031b3, 0x3e686384, 0xdd62fb1f, 0xcb88a968, 0xb0059ce5,
+    0xb63a2123, 0x871f1f69, 0xa495cf34, 0xf1fff673, 0x8b035890, 0x0affaf73, 0xf7ee27e0, 0xfaa619ec,
+    0x57793765, 0xc8d86e4e, 0xdea98075, 0x6f33cffc, 0xe319bd1e, 0xbb32c51d, 0xaebbae70, 0x6e6b81f3,
+    0x6f3d22d4, 0x63b865b0, 0xc060797c, 0x054bb718, 0xbdbe8765, 0xcdb5d71b, 0x1125aa8f, 0x1b7d5c02,
+    0x1249769d, 0x2332f99c, 0x32e48e8f, 0xe3e216fa, 0x43059999, 0x21ecd132, 0x432d86bb, 0x75feb5ba,
+    0xa7f19db0, 0x3fedf0af, 0x0f15abe4, 0x68d02d76, 0x0d570d2f, 0x8e99b9ef, 0x84e57ef4, 0xcdc8327a,
+    0x64315fa6, 0xe08a11da, 0x1020d928, 0x20070ebe, 0x96fa5970, 0xb9b6561b, 0xb31e02cc, 0x57e5f457,
+    0x78eadc8d, 0x3b3a3589, 0xa1502c67, 0x92b7c259, 0x74f1f7b7, 0xc890d3a3, 0x743bf798, 0x21fa175a,
+    0x4758d291, 0x19913bbe, 0x5fac2e1d, 0x37f6e736, 0xf71edd97, 0x730e9c72, 0x0d80a615, 0xd2979e3d,
+    0x755d5e39, 0xac522cc6, 0x14fa9f1f, 0x974d22d7, 0xd780932d, 0x74f5d6f5, 0xed17ab59, 0x3aae342c,
+    0xbce8fa2a, 0x215eb73f, 0xe1248f8d, 0x88400aea, 0x0fbad884, 0xfbacf08b, 0xc2b93403, 0xdc266192,
+    0x84970dc5, 0x49cc5f89, 0x6bf503c6, 0xfe59f856, 0xe2608723, 0x249cb058, 0x1c19e080, 0x97ebfc9e,
+    0xba5c4065, 0x9f08ea52, 0x55cadb8e, 0x6b74fcfe, 0x2312955f, 0x99fe2316, 0x2af678f2, 0x1630c9b9,
+    0xbd4125cd, 0x2cab699c, 0xb3ff03f4, 0x9db1741b, 0xc65591d9, 0xb337f145, 0x44fba948, 0x2c93d60b,
+    0xe0bf1231, 0x0cd35e21, 0xbc4b1d17, 0x63958aff, 0xf1d7496c, 0xbd164122, 0x625eeef9, 0xae608b8f,
+    0x91823c54, 0xf5c193a6, 0x0c9fb381, 0xc34d2a71, 0x3edefb56, 0x6a71e2df, 0xdd502c83, 0x956e7a66,
+    0x1c0820d0, 0xa5abd838, 0x56b9c102, 0xa1de4aa1, 0xf50f0532, 0xe26683cf, 0xe2fe7fad, 0x7d9320fc,
+    0x61802413, 0x11f4bc5c, 0xd4e213b9, 0x7dc5d782, 0xf36d0b93, 0x27d7d7f5, 0x800cef98, 0x50cf3a95,
+    0x9e36134c, 0xef5c5c52, 0x8f36ad7d, 0xfb781c55, 0x2d17e860, 0x815ad9a7, 0x2155d411, 0x27aaa7e0,
+    0xb780950c, 0x850c01e0, 0x75c6c414, 0xb010158b, 0x323270c0, 0xe6456e88, 0x1861519d, 0x6e593d34,
+    0x40e55366, 0xc7727322, 0x863916d8, 0x55cdabbd, 0xf1896020, 0x537c9fc8, 0x098c1956, 0x500248c1,
+    0xb2131c21, 0xfb65d166, 0x2b302d8b, 0x779f36e2, 0x8fbb5a3a, 0x59d900ef, 0x844c116b, 0xe5ac1547,
+    0x619a67f2, 0x801d337e, 0xb5376d70, 0x5fcaf43e, 0xbe63956c, 0xc72a858f, 0x24df89c9, 0xf5361737,
+    0x5646a906, 0xe3ca9d98, 0x241ff6ac, 0x54ecfde9, 0x05dcf096, 0x027e171e, 0xa6ad5e92, 0xdef5cc97,
+    0x749df85f, 0x485986a6, 0xf5538871, 0x2e9b7eea, 0x65a4cc7d, 0xdec9f0d4, 0xe055ab16, 0x6cadec84,
+    0x5b0f603e, 0x44aa21d1, 0xe67c9a04, 0x9eb9fbfa, 0xd3788699, 0x1f0b1bb2, 0x1e0e354c, 0x7287dde8,
+    0xaf82df94, 0x9781e3bb, 0x63ab502b, 0x7a2569c8, 0x2b7d37bd, 0x1e99b274, 0x599a35cf, 0xbcca5898,
+    0xb7017bc2, 0x1ad5ad64, 0xec6dd3c8, 0xd31d51fb, 0x2fe578b8, 0x1109b941, 0x4a13c1a7, 0x6e48812b,
+    0x7091ecaa, 0xd8deda7f, 0xc413906e, 0xc0d0b713, 0xa6215a61, 0x2a856f95, 0xb901ff13, 0x92fe402e,
+    0x36776ae8, 0x77d20e90, 0xb3b33dd8, 0xbd0bed85, 0x0b5e510f, 0xf4bd812e, 0x4e13c89a, 0x63cb2d38,
+    0x54caecae, 0x9cd1a2e3, 0xc32c06a6, 0x967a5533, 0xc9959fa3, 0x7f6a99e8, 0x9d3be631, 0xd4b7beac,
+    0x9eeccb4c, 0xb4fce3a3, 0x57b38406, 0x91d8b78c, 0xdb0b82db, 0x99f16a88, 0xd1e1fed4, 0xff60a3fe,
+    0x2f907db2, 0xf164c9c3, 0x33c15c94, 0x0fa7a151, 0x46f611ac, 0xbac408f4, 0x25cf994e, 0x0afa9601,
+    0x0f309562, 0xf28442a7, 0x419d9092, 0xcdec72e1, 0x6cf651e3, 0x9b88a8a1, 0xaa30128d, 0xb0331f8c,
+    0x58f9c8dd, 0x92159bd6, 0x0f259940, 0x63bc14c9, 0xb907bfa4, 0xe34fa214, 0x8fb2c54a, 0x0f7ed071,
+    0x89790731, 0xf6e11996, 0xb18c5348, 0xddba6b74, 0x9562f684, 0x40a559d7, 0x2864defe, 0x7d8add4d,
+    0x98a707d5, 0x0db25edb, 0x71b01ed4, 0x357fb9a3, 0xb45395cd, 0xf869791b, 0x80880982, 0x90757c30,
+    0xfeb3d874, 0xf2113f8b, 0x08bde773, 0xd472e5ed, 0xf89c3ba5, 0xd5bd43db, 0x4dfdb26a, 0x9bde73c8,
+    0xcdedbe21, 0x93712149, 0x780b9e13, 0x2f0921f5, 0x88f70a29, 0x77b579f8, 0x3406f417, 0x2b0d8bb3,
+    0x0eb41678, 0x2500de02, 0x7f5cc032, 0xfbd32619, 0x58a50c80, 0x8a271f86, 0xe04b2a18, 0xc66a34ce,
+    0x5d89c74f, 0x3747a5b7, 0x7fec81d6, 0xb32d0ed3, 0x2cd5f33c, 0x8225051e, 0x40e01f3e, 0x8eddbe40,
+    0xf085facc, 0xf05353fb, 0x28fd2154, 0x40e32fba, 0x63cec7a9, 0x85d00cea, 0x42204ed4, 0xe06942a9,
+    0x852948cf, 0x962e6d8d, 0xac2d5972, 0x7804403c, 0x873e5e10, 0x6a464f45, 0x761e2b77, 0x5758d83c,
+    0xbde5b4dd, 0x6ddfee78, 0x47ef2b4f, 0x37300419, 0x7720b564, 0xf7232bc9, 0x8bfff0ee, 0x2ffa09ec,
+    0x686020a5, 0x75c34aa0, 0x12c2a752, 0xf2f0ac67, 0xda54f982, 0x5ad7740a, 0x1f1d6f5d, 0x8ce69928,
+    0x58fe3f79, 0x6bf59c8e, 0x038ce0a8, 0xf986e067, 0x87d3b0e6, 0xda3304b0, 0x940178c1, 0xaaa0463a,
+    0xf86569db, 0xc5b188ec, 0x7663535e, 0xa247140a, 0xc6e793c6, 0x3c8d5464, 0x82049da7, 0xf8805052,
+    0x2dcfd48a, 0x57b2d1db, 0x4669ed7c, 0x7002fe2a, 0x044553c6, 0x20cd55f9, 0x1f9d67a8, 0xc5502af8,
+    0x74dcc73c, 0x089e47bd, 0x2dc8ae5e, 0x45f0ab41, 0xfdcfa312, 0x32f638e3, 0xe73acb38, 0x439ab689,
+    0xcbf0b5c0, 0xf44a014b, 0x446e664e, 0xdb6f52d9, 0x1a94dc8c, 0xa0f7c45d, 0x74bb295d, 0x358d6867,
+    0x10d02f90, 0x9f9c76ad, 0x55b855ae, 0xb1beb242, 0x6c75c5a9, 0x3f38a6d7, 0x44c47ad2, 0xd9aaf539,
+    0x7f168d4d, 0xde075a7c, 0xde5b38db, 0x96f2a11a, 0xe88fcd9b, 0x99710f5a, 0x3e5db323, 0xd0305e0c,
+    0x16843f66, 0x8235a8b6, 0xa3989760, 0x03c4769a, 0x39ba8e06, 0xc8b89cfc, 0xff1e4110, 0xf437ef56,
+    0x7b9fa48c, 0x3982d59f, 0x46db5a61, 0x7cd9cb9e, 0xda0214f2, 0x6522fc37, 0x3afb9031, 0x266b49e8,
+    0x04623699, 0x10b37dd1, 0x06372e21, 0x534dd228, 0x3f8e4ceb, 0x8c4f8be2, 0x46f344d1, 0xb350deb7,
+    0x5d483258, 0xaaab14f6, 0x4ae4b284, 0xfe0fb1c1, 0x7d25e353, 0x60cf826c, 0x0d8566d1, 0x4b161d9d,
+    0x2e51b966, 0x12b989b5, 0x7d0cd55c, 0x043b8846, 0xc3507daf, 0x5d52a03f, 0xe9aa4b1f, 0xb6572d23,
+    0xcb4a3a0c, 0x6f9abba8, 0xed4d3325, 0xd423fbcf, 0xd6f8b77f, 0x1dad6f65, 0x2fe3c1b2, 0xd499430e,
+    0xbb9a535d, 0x4321707e, 0x76a975ac, 0x2da1f1a2, 0x3d404b98, 0x7c568d56, 0x7778b4d4, 0x4238b728,
+    0xb482a645, 0x22ab7ffb, 0xda39917b, 0xdd42edee, 0xb03b698f, 0x711ba0e3, 0xb505aa47, 0x55ba9b5c,
+    0xea5feb97, 0xa66f2982, 0x939c8c04, 0xd059be00, 0x2e46565d, 0x72f5f614, 0x03ee4b43, 0x4f603bc6,
+    0x0aa13fc5, 0xc5447f00, 0xcc7679f0, 0xa60ffcb7, 0xd9f503be, 0x02ced973, 0x4f02e285, 0xef01c531,
+    0xb15f05a6, 0x809704d9, 0x34f841f9, 0x9deca9d8, 0x828f6fb7, 0x62b9d963, 0x6f7c3f49, 0x273fbaef,
+    0xfe57d31c, 0x2ca73f1e, 0x100e8fe5, 0xa158b244, 0xbe9f08c9, 0x2ba8bf9c, 0x4f6e1d76, 0x526c37be,
+    0x56133d57, 0x820b4747, 0x4cbb6466, 0x53d7a4fc, 0xc0d4a48f, 0xcd3e09a3, 0x1bb911dd, 0xf36da406,
+    0x17d4b91a, 0x21272dbf, 0xa42aa946, 0xd561447a, 0xb26aff9a, 0x9225c549, 0x4d38ff81, 0xd9a97f68,
+    0xe629640d, 0x7a954f5b, 0x63fd9f6f, 0xa3ad7292, 0x88b5fb93, 0x063eeb38, 0x99b5fb41, 0x6d400b75,
+    0xfc41c043, 0x60769657, 0x7f85282c, 0x77560123, 0xa5029037, 0x150ffc97, 0x6b02bcf5, 0x518fb044,
+    0x3e4e13c5, 0xb1f78ee6, 0x1e6a439d, 0x6eeb08de, 0x0b293064, 0x7afeb827, 0xb0d94725, 0x464833a0,
+    0x68dc6f1c, 0xea0b6d1b, 0x883e0864, 0x0e0ed77f, 0xb409cc51, 0x8e3fa44d, 0xb3ae82ad, 0xa04d8899,
+    0xfcf3f32f, 0x128e3aeb, 0x588f9f99, 0xf9491cba, 0x36914776, 0x0a3f33c9, 0xe029cd7e, 0xe81f02e0,
+    0x02e02cae, 0xd2798a8d, 0x2000f115, 0xe6184c8b, 0xea0c7146, 0xf8b8c14a, 0x0f41a821, 0x26b101f4,
+    0x4ed810a6, 0x1fb4affc, 0x147c2ebc, 0x649a6223, 0x22593b32, 0x7f13fde9, 0xc4ba32d2, 0x3d44b8fb,
+    0x988fba88, 0xcdc951e3, 0xfc3ef30d, 0x17a94023, 0x6ad11c78, 0x39f68472, 0xafe31606, 0xb785de13,
+    0x60b3a555, 0x3506bd52, 0xc2d04916, 0x95f1bc09, 0x9a62af8f, 0x3642b588, 0x628275ac, 0x5d3f8c21,
+    0xe2f827d9, 0xbe94de7d, 0xb91cee82, 0x49a92f2d, 0x526a1df3, 0x23e3c1b2, 0x67accf5a, 0x9d6ee63f,
+    0x5d89b9ae, 0xdfff11d4, 0x7e8ca2b6, 0xd8aab59d, 0xb71c8905, 0x1455a602, 0xcc9535ee, 0x36b651f9,
+    0x15b8f3c4, 0x364e41d9, 0x5234dc3e, 0x6d74aac9, 0xdec8016f, 0x1b7ebb4d, 0x276fa117, 0xa775da96,
+    0x3f45b023, 0xc9010a67, 0x9aac58b3, 0xcaec7e87, 0x941bae62, 0x3d9edf2d, 0xfe5a2a9c, 0xc091cf34,
+    0x8d3ddf47, 0xfa84fc6b, 0xf9fcaf10, 0x5edbc5ce, 0xcafed354, 0x6dbb1f7b, 0x07f1b02c, 0x1270535c,
+    0x42f66e53, 0x70baa14a, 0x575cceb5, 0xb35d2316, 0xaa33300e, 0x5a375240, 0x0241b9f5, 0x6d700886,
+    0x7a23cc0a, 0xd38246ea, 0x084c2de7, 0x2c07dfb7, 0x4976adff, 0x953e15be, 0x65f5894b, 0xfe9ecd3b,
+    0x2e63202a, 0xb314f5ee, 0x33ff253d, 0xbc738c68, 0x5b0ade08, 0xb19f6542, 0xc79ade1c, 0x96fcd8fd,
+    0x9b084faf, 0x624dbba0, 0x6d465920, 0x88b408e9, 0x9cfcc115, 0x721f6fd2, 0x8eb10de4, 0xb07189ca,
+    0x4ad10d66, 0x546065c0, 0x4424a54c, 0x39f060c1, 0x1c6c94ae, 0x6af83fc1, 0x792d2fe8, 0xb5630dbe,
+    0x806891d9, 0xdb5bb585, 0xa18bed6a, 0xa555de43, 0x0d5d2b8e, 0x4ac9399b, 0x42944998, 0x009052a3,
+    0xd2fbb46f, 0xc0c77397, 0xca99a631, 0x2915f6c9, 0x231702bc, 0x3bcc0f61, 0xca9442f1, 0x1bf4d437,
+    0x5bccf68a, 0x8cb37eea, 0x5843aab3, 0x0993c009, 0xb117be47, 0x5fe41a20, 0x0266ff10, 0x054ef84d,
+    0x6bbcb2ab, 0xdcf65f89, 0x1ac2e4c4, 0xb9671753, 0xccf3886c, 0x3d1b08c5, 0x6a0f2d66, 0xd1582711,
+    0x338b6c62, 0x2b9f5900, 0x11f6eaf7, 0x33bbecdd, 0xb38e7a4b, 0xc85ace37, 0xbf78bf72, 0x7455a8e5,
+    0x374855a3, 0x3fc276a3, 0x2129d849, 0x3d729d7d, 0x8480c088, 0x7dd273a2, 0xb805d548, 0xe2ea82f6,
+    0xf08421d3, 0x011d7826, 0x25234a0f, 0x8a5f601c, 0x4d5f4140, 0x085a7b89, 0x7ace20d0, 0xb75eb641,
+    0x8904643d, 0xf1790e36, 0x9a620e85, 0x6d602da4, 0x5571fbda, 0xd42c9461, 0xf9c476d1, 0xca40e88e,
+    0xb580644c, 0x23a3a8e0, 0x2f0e6b30, 0x9720b42e, 0x0bf069e5, 0xca6a37c7, 0x756709b3, 0x27fda46d,
+    0x50e7a0ca, 0x6e201d9a, 0x3a933274, 0x6b7d5057, 0x0dc57622, 0x772a1809, 0x128d4a20, 0xe16b1fb5,
+    0x18051b22, 0x771d4364, 0xc4cc6e85, 0x841ddf8e, 0x2f1a5c1e, 0xd4a220e8, 0xa3185d88, 0x627a2ba0,
+    0xb015e716, 0x2fd9e777, 0x899fd5f5, 0xb7ca29d9, 0x7a536308, 0xb4d23988, 0xeebdbd5e, 0x20fc983f,
+    0x9a77a5a6, 0x7c11d715, 0x432b6267, 0x9fec5a52, 0x8d2b08f2, 0xee5e8430, 0x74aa4383, 0x6fe80dff,
+    0x72b240fb, 0x235518a2, 0x66d2042c, 0xca9d96b2, 0x091a4a8b, 0x0d0da28b, 0xcd1ceefd, 0x7a34c239,
+    0xc7869c6e, 0x66fc0398, 0xf0d893a8, 0xf16327c3, 0xabc55e6d, 0xa919b2df, 0x4f181218, 0x1d8052e0,
+    0x77959373, 0x5ea6e08e, 0xb936bfe6, 0x0adcbe51, 0x50c3b7d3, 0x2fc0766b, 0x1458596e, 0x287f8a1d,
+    0x7f838a1d, 0xd9422e9c, 0x836b0d9a, 0x46f83e04, 0x3a566fc4, 0xe14ea3da, 0xae3cd002, 0x4f5fb7ae,
+    0x60db3f57, 0xcf55ca03, 0x46ca580a, 0x92ca58f7, 0xbd6b8747, 0x15f14530, 0x930a999b, 0x8c30ab67,
+    0x57c486e9, 0x906b9dd6, 0xe191c97e, 0x2b8085c4, 0x41146d93, 0xa7a90d27, 0x49baebcc, 0x39cf706c,
+    0xd08027a1, 0xb98870a7, 0x6a3146a1, 0x07e6058e, 0x484314e1, 0x777e7081, 0x4a289235, 0xa6421412,
+    0x91c70205, 0x800690ac, 0x2c91fc1f, 0x09d3ad76, 0x23b9d296, 0xb1735efd, 0xdacd1d0d, 0xb0a30d0a,
+    0x743530de, 0x12a68b09, 0x57cc1eaa, 0x0acc692a, 0xdb2231ab, 0x8ebde334, 0xfc52b4d0, 0xee3f0eb6,
+    0xdca9361f, 0xfcd9a2c6, 0x6d8eeb4e, 0x648bc224, 0xedb3c9f6, 0xe691e2d5, 0x546420bc, 0xc0c88f65,
+    0xc87a8b7c, 0xda9f5724, 0x2c45d4cb, 0x21e809f2, 0xc7ac6ac6, 0x0acb999d, 0x46115999, 0x7e297615,
+    0x4a4ed2d9, 0xc3e9a5f1, 0x90e88f8d, 0xc6f8c919, 0xc61c63fe, 0xe64cfe2a, 0x2ad2d9ab, 0xc7c0c04e,
+    0xd8b861cb, 0xfb0b4bd2, 0xd689c1d8, 0x11db83fd, 0x8ba7df4e, 0xb8c8ba62, 0x2183ad91, 0xad68fb03,
+    0x9c3dc56f, 0x86ee18c3, 0x03919678, 0x94d2ca38, 0x61737a8f, 0xc4eee96a, 0x99620df4, 0x832d751b,
+    0x4294e666, 0xbd826dcf, 0x86688ff0, 0x1e134e8b, 0xff313837, 0x0dda4dc3, 0xb0f520e0, 0x0b5b5dae,
+    0xaf4696ee, 0x5866a451, 0xf0e1f4d9, 0xe624d198, 0x9bd09201, 0xb479821d, 0xbfe059ea, 0x3f0797dc,
+    0x680b7e07, 0x1bb0c33d, 0xf6d63004, 0x1eb64f4d, 0x2c7dddb5, 0x80116597, 0x09ed71c6, 0x914584e0,
+    0x59d47ba1, 0xb09b2986, 0x62de6fb1, 0x466acdac, 0x5c92b14c, 0x3e143bff, 0x8f5bea01, 0x30392e51,
+    0x00000000 }, /* 10**00000000000000000000113568550671188576648331844982500708492756462607393446918\
+                         98284362197488876771842551971735167402555711886914400097909030211478150447104 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a,
+    0x748db564, 0x04173c2c, 0xe833287e, 0xf4eea8f9, 0xd1f125f5, 0x5b1d685e, 0xb0a1af72, 0x402b2e51,
+    0x00000000,
+    0xc8e82dd3, 0x0a4fcb56, 0xea8116bb, 0x55d64c29, 0xa727d0a5, 0xe285e8e4, 0xfcfea7f0, 0x27a78508,
+    0x7a6c8929, 0x15b1d912, 0x60599eb1, 0xa139eec3, 0x45891b83, 0x72126a01, 0xff5ce7f3, 0xbe81ba23,
+    0x5c84a175, 0xd32d8357, 0x8b4b43eb, 0x472cb00e, 0x91a3f1d4, 0x2c192836, 0xe4351d3c, 0x3231d451,
+    0x4305cc76, 0x6adea9de, 0xce532071, 0x46370316, 0x2e9fc1f5, 0xf649e73c, 0x8d03392e, 0x2c49b3c6,
+    0x26648983, 0xb46bfbf2, 0xadb451a9, 0x9fe8bbf9, 0x82ac46df, 0x380550d1, 0x4ba9ea01, 0x2b74513f,
+    0x51156507, 0xd188f59a, 0x9221cc45, 0xd75e2a98, 0x934fe4b6, 0x9b41176b, 0xdd713cd6, 0x5882fa23,
+    0x5c500a3b, 0x3bcabb33, 0x5d19a199, 0x214cfeab, 0x17a12939, 0x3159500c, 0xbc5bb2f3, 0xfc4a3aed,
+    0xbe132bb1, 0x174b2739, 0x6142e06c, 0x58274c36, 0xc65425d4, 0xafe02aeb, 0x894b3add, 0xdfde2f66,
+    0x7c239bd4, 0xd83fa620, 0xcee8be09, 0x38d25210, 0x485e21c7, 0xe292c5db, 0x23ef4895, 0x804dbd8e,
+    0x5e0cd3cc, 0xec0c5552, 0xcdc79020, 0xb223e1fc, 0xc701087c, 0xc758f7b7, 0x69c3c50c, 0x46cbce57,
+    0xd7daab31, 0xac9d5c27, 0x8dfa6a12, 0xbf44df0c, 0x114a35ac, 0xdd018d5c, 0xe78b55ec, 0xa594be4c,
+    0x52d3181e, 0x5bded4c3, 0xbc26d11a, 0x3f51a073, 0x8ca4c568, 0x98829ac2, 0x802eaf73, 0x7169fdc8,
+    0x3b7735eb, 0x62e2db93, 0xd02bc8f3, 0x8c40c048, 0x309752f2, 0x3051d63a, 0xd623339b, 0xedbfa6d6,
+    0xdd5efc66, 0x13358d1f, 0x25048dfe, 0xb029686d, 0x47b9ea85, 0xaa6707e2, 0x84843bf4, 0x3a91b7d0,
+    0xe09179b6, 0x199e3ce1, 0x651e9ade, 0x4cfdc8f8, 0x22cc8c2e, 0x6dd2b23e, 0x1de0969d, 0x13310dc9,
+    0x820ed886, 0x0aa70b7a, 0xdac00c15, 0x4b155719, 0x9c46f399, 0xe3eac951, 0xbd84495b, 0x9da8d5e0,
+    0xdd56e4c6, 0x4305a280, 0x8ddaa6dc, 0x2c38f7ee, 0x8bf0b88d, 0x09ee6008, 0x826cfae7, 0x025fb06c,
+    0x2871c599, 0x2120d87b, 0x7b60886f, 0xac5c7473, 0x5101aec9, 0x566bcbd4, 0x4d6c9671, 0x42c19889,
+    0xf8e496e7, 0xe814b41a, 0x7bb733e5, 0x8d043d17, 0xdf1f9fdb, 0x853b8023, 0x0b53e552, 0x7ba01faa,
+    0xbba15ea5, 0x18db920a, 0xce412943, 0x684d49c4, 0x7aec03d3, 0x56c82b28, 0x674789b1, 0x8dd38bd4,
+    0x51669260, 0x0a3fc240, 0xf460a45a, 0xa0f43a06, 0x615d0a15, 0xc3f101f6, 0x4d91702c, 0x004479fd,
+    0x8cd7b4a0, 0x70e545f7, 0x0ef1a1df, 0x9cd66a98, 0x5b6a2c38, 0x7b28dbdd, 0x2fdaa217, 0x6e7e0026,
+    0x00fe3c40, 0xc1098f68, 0xee243610, 0x6ff5a5e9, 0x3d3a87c1, 0x402a2e81, 0xc10f29b8, 0x5a4d14e2,
+    0x2e0d01a1, 0x49be4148, 0xcf2252a1, 0x247ecba0, 0x13348751, 0x75f81f9c, 0x5f4c37ee, 0x88c6f4d7,
+    0xb39a7781, 0x9aae6a5f, 0xa81930f9, 0x90c4aac5, 0x3598a267, 0x15fa2828, 0x20c1804d, 0x46563351,
+    0x233f8237, 0xd6fe1c84, 0x99ab2196, 0xd6c8b350, 0xb2424665, 0x380446d8, 0x3d52b288, 0x4ead4574,
+    0x5bd3dd3f, 0x5a16a0eb, 0xdf66ba73, 0xdb9cadde, 0x0db9e07c, 0xfd599f35, 0xb45e39c6, 0x1c644e95,
+    0x3480d2fa, 0x30a00f7d, 0xd1664cbb, 0x14363ade, 0x4c2f1cf3, 0xd2d2a79c, 0x7262b0f8, 0x8373c956,
+    0x5a783925, 0xf2542c89, 0xf40c376b, 0x3b2c5b80, 0x0237781e, 0x870a9f53, 0x4cad515d, 0x584892a5,
+    0x926d287e, 0x136caac8, 0x43ef6033, 0xf4bd4141, 0x8327ec42, 0x45d4928b, 0xd44042ec, 0xb03dd3d8,
+    0xb007215e, 0x0bc3d705, 0x284b51f9, 0xe8d6d5b5, 0x726db6e7, 0x44181946, 0x411430ef, 0xafd3dcde,
+    0xc8ff82d8, 0xaf329081, 0x8948f3d1, 0x7c985acb, 0x0aa833fd, 0xb0470cdb, 0x21fb1807, 0xe8ab9ae2,
+    0x6236b896, 0xaa1e018c, 0x70856308, 0x052de3b9, 0x76cb47a2, 0xac34b777, 0x8a93e9e1, 0xbfad8a57,
+    0xe8bcfc50, 0xbccfc165, 0x547cfd83, 0x5eb776e2, 0x7c47fd98, 0x38c57c76, 0xe8760383, 0x6e54b676,
+    0x990494af, 0x2dcefaf2, 0xb2a5cc73, 0x89cfa62c, 0x14d62451, 0x19bdf74a, 0x093ad2f0, 0xb6af520f,
+    0x2aebb760, 0x26db61ce, 0x8ec2f5f3, 0xed6e69de, 0x4827af40, 0x174c722f, 0x8341d600, 0x1eeb7b4f,
+    0xc9815f56, 0x89230e92, 0xd7c2bb98, 0xf21c6879, 0x58c7c93f, 0x36584620, 0xffbd54e3, 0x31d4f5ee,
+    0xbd7e9bad, 0xe13b6811, 0xedb9e4d7, 0x0394a869, 0x960eaf7b, 0x1eb4d4a9, 0x33781cbd, 0xf3083302,
+    0xced07c01, 0xfa13d612, 0x0043bd73, 0x36bef281, 0x0a6dc1ce, 0x71eccb00, 0xb6db8e45, 0x8fdfc141,
+    0xd9ebcd35, 0x2395652d, 0x16288b99, 0x0730be58, 0xd57af8ca, 0x72a85357, 0xb74deb4a, 0x5cad0f96,
+    0xff28f194, 0xf9ccc5f2, 0xe4d53771, 0x97cbe02e, 0x9b642b38, 0x7a4f0521, 0xc597a755, 0x76800095,
+    0xa131cf61, 0xf2f0b2e9, 0x1c200585, 0x62059389, 0xe66987b8, 0x3d5edd4a, 0x53c74ba0, 0x8de35e90,
+    0x160ae553, 0x9fee5193, 0xd1cd315a, 0x430cc2f9, 0x44d4a014, 0xb764d1c3, 0xd1de1be3, 0xd324d67a,
+    0x2026922d, 0xe950e25e, 0xe340eb0c, 0xee04b9ec, 0x7e602a1f, 0x15dc221b, 0xf94668ee, 0xfbaf018d,
+    0x9170047f, 0x2f50fa6f, 0x4ed49672, 0x7a5f9af4, 0x1bc1070d, 0x1f37a096, 0xf0d4a169, 0xe6e6c553,
+    0x84848104, 0x3ee901a4, 0x809a405b, 0x0dfb46da, 0x4e3db907, 0xaf7cff16, 0x42ad347d, 0x513a1edf,
+    0x635f4937, 0x87d0519b, 0x6bfabed0, 0x1148e97d, 0xc90bea71, 0x1c13f797, 0x0306e26c, 0x9a37892a,
+    0x1981165a, 0x1e644cbb, 0x96dbe6fc, 0x85187f66, 0x99a9d432, 0x1353a8e3, 0xaaa8ae9b, 0x0554b882,
+    0xfe0f9b66, 0x20ad8941, 0xac9ded9a, 0xd8941b01, 0x915d18bb, 0xe8cc0d17, 0xc39ce366, 0x0517f64a,
+    0x98cfdaf1, 0x5231d4ce, 0xe63f213f, 0x66071bcb, 0x6bf87e13, 0xa1958827, 0x9bec0941, 0x875c0412,
+    0x9d217fdb, 0xd4bdfd4a, 0xc2cc06a7, 0x6acd8d8d, 0xfee189e8, 0x23319581, 0xacfbf9b9, 0xbff30c45,
+    0xb3ed166a, 0xe023c80c, 0xcbc6334e, 0x9a175f82, 0x3aed2fe5, 0x70aaeb30, 0x5f7030ca, 0x6d1f82fd,
+    0x6b173286, 0xdf13412c, 0x1eedb034, 0x8460d6ea, 0x866c7089, 0xbd12d2b8, 0xa0fc0a80, 0x443a5759,
+    0x27c31cf6, 0xf5c79538, 0x38de072b, 0x4b27ccf0, 0x9a9439aa, 0x588df215, 0x75ad0626, 0x62ab5851,
+    0x6975df16, 0xf62a8111, 0xf0f62c61, 0xb5008559, 0x537b398e, 0xda948daf, 0x42e33481, 0xe0bb19ed,
+    0x2d70eb90, 0x85c192a8, 0x278622f4, 0x79fe3ce7, 0xf34e265d, 0xc8d0f828, 0xd216475c, 0x9e0b36b3,
+    0x0c7a3d72, 0xc0d75bdb, 0x30ec7716, 0x4d91eba3, 0x9d92ef00, 0x5fe84612, 0x283af862, 0xd085869f,
+    0xbaf86ecd, 0xac7afeda, 0x21eab3a9, 0x2e2d97bc, 0x2825e1fd, 0xb04c1713, 0x76163de8, 0xf15ee3ea,
+    0x3ed05215, 0x3ffe5df1, 0xec1a62e8, 0x663dd030, 0x788140b6, 0x074d8e66, 0xf00ccd27, 0xe766114d,
+    0xbb24eb38, 0x1699aeef, 0x5344a89e, 0x3d98648f, 0x08258795, 0xa1f466b3, 0xbb4f11e1, 0x4154f69f,
+    0x383390a0, 0xd6a0c04d, 0xcbf8e91e, 0x79d58458, 0x6db9b1d7, 0x46753349, 0x866a2d24, 0x3da66852,
+    0xb118dfc7, 0x0cb190ec, 0x56f75e78, 0x0cbbd928, 0x0d91a8e7, 0x16932bc1, 0x8c8c1a2e, 0xe35102ef,
+    0x9d187b2f, 0x1641c7cd, 0x624ad81a, 0x3c6b4097, 0x2e9e0e40, 0xf29b1f8c, 0x2772953b, 0xb2484080,
+    0x46cc12af, 0x8c86c5e1, 0xb583577a, 0x7ad85f11, 0x464a5eb9, 0xbe731345, 0xb12e095e, 0xa53883c6,
+    0xaf0b7713, 0x897d95a3, 0x4e183248, 0x22e3640a, 0xbd656d06, 0x5db49c12, 0xc2592d42, 0x3285a79e,
+    0x272c0f6d, 0xbf59ec1c, 0x897463cd, 0xbc678179, 0x13c659d9, 0xcf3987c5, 0xfbe36d00, 0x8c553c10,
+    0x44c6c18d, 0x37811c2e, 0x99bec3e5, 0x7b9fb9df, 0xf1c8a522, 0x8935c8dd, 0x201684bc, 0xfe08c0ce,
+    0xeef8317d, 0xd9943f9c, 0xf37f0296, 0x36143188, 0x2a4694d1, 0x97f0964c, 0x15ab595d, 0xa6619b8f,
+    0x80d92cf8, 0x1fef86c3, 0x3de3802a, 0xd07a00a6, 0xe2c23245, 0x9ca66649, 0x7f6602b4, 0xc3bee79c,
+    0xe2406624, 0x8b34610a, 0xe152a09a, 0x0b2679f0, 0x588615c3, 0x626a1fae, 0xfbf494fa, 0x4d8880b4,
+    0x42c8d1ef, 0x60b846cf, 0x131be9ee, 0x6d3dc1f4, 0x9af890d4, 0xd0405486, 0x5bf59c3b, 0xa6a86afa,
+    0x6d709f39, 0x2e5f9c43, 0xc64d0a17, 0xeb459ec7, 0xe7a602b6, 0xd20e01e0, 0xd84ec63e, 0xb276969f,
+    0x5d21a798, 0xc5f47db9, 0x9bfdb2fa, 0x12a4edd9, 0xe63949d6, 0x030d3ad9, 0x5a3500d4, 0x6878ef65,
+    0xff04de1f, 0xd7c7a456, 0x88eb0e77, 0x4e61ffbb, 0x9e22beb7, 0x08408750, 0xd93c6678, 0x16339b18,
+    0x9520792e, 0x26b2e9a8, 0xe6d03e57, 0x48634c03, 0xa513961e, 0x9e1e9072, 0x420a2348, 0xe7cc66c0,
+    0x11243904, 0x8e8dfa9b, 0x52abec04, 0xcd59a93f, 0xb8e06f64, 0xe5cfd24c, 0x97055786, 0xdb5b19ca,
+    0xafeeb5e8, 0xf88319d2, 0x20892ece, 0xf14bc44d, 0x71e2aab8, 0x104bfbd4, 0x20695e74, 0xf4af3dcb,
+    0x5a3b1422, 0x17b9dfbe, 0xce018226, 0xd9b65c8b, 0xc6afffce, 0x096b45fa, 0x8e2e7b5d, 0x13b4a54b,
+    0x671e0d49, 0x0a0c30d7, 0xbcc2419f, 0xc115a05a, 0x90fc1e1b, 0x6dbaa0bb, 0x275664cd, 0x65a9867c,
+    0xe13f582a, 0x6bcab4ba, 0x05f3f050, 0x55c2a0f5, 0xebf47fb3, 0xb7831952, 0x2b9d3593, 0xc4cfe1a2,
+    0x61f88d96, 0xbbd93ce9, 0x94e3f757, 0x70e9ebd5, 0xef8b7e8d, 0x9ae7e9c2, 0x7431414b, 0xdbaaafdb,
+    0x2186ed3b, 0x671efe95, 0x83d0347b, 0xb47b35e2, 0xfe93b658, 0xcdccdb6d, 0x8bf7c795, 0xdbe13ad1,
+    0xd940c288, 0xfd1ca7fa, 0x1da84a48, 0x8cec5e75, 0x63c3cf33, 0x89051fca, 0xf0e35bcf, 0x97b5c34f,
+    0x8e1600b1, 0x05ea059c, 0xeabcb8af, 0x3f9b1e30, 0x797fe576, 0x1af2aac4, 0xf53fc2d8, 0x68e3937a,
+    0xcda355fa, 0xfad88c37, 0x8e732211, 0xdd18e691, 0xff14c20e, 0x02a43aea, 0xf4cc9b89, 0xd7ed9f20,
+    0xa8aa3838, 0xf305c0c6, 0x826e2235, 0xf51c6822, 0x18bed632, 0xa0d11df3, 0xe8fb9e6f, 0xa3954413,
+    0x3cb41c25, 0xdd3ca627, 0xf4300bfa, 0x1ebc4d4d, 0xbea3dfb9, 0xd0c6a2c6, 0x1943db0a, 0x099ee69a,
+    0x6d116c81, 0x28c5e536, 0xc321d0be, 0xcfc3a6a4, 0x529f2100, 0xa6983971, 0x8235f546, 0x176e43a1,
+    0xffccc9d0, 0x85eab98d, 0x9dcfd6e3, 0x8c089b2a, 0xf65d9337, 0xe0355d07, 0x823cb09c, 0x87bb6e0e,
+    0xb154efc6, 0xccfebc56, 0x9235281f, 0x311ce8a1, 0x9e3c8e9d, 0xc48e2ddf, 0x83365d88, 0x4f42ac90,
+    0x16b8330a, 0x0a7b5d2c, 0x359aef3c, 0xf7a24e0f, 0xac586a81, 0x593cad4a, 0xf1bafa8b, 0x1040b258,
+    0xafeef03f, 0x1c0e3315, 0xf263dbd6, 0xae89b171, 0xfb029852, 0xf2800ff9, 0x2c2fd987, 0xa9624fe8,
+    0xbcf0eabc, 0x7b1fecf9, 0xeee0d471, 0x9889fbb7, 0xfd67207a, 0xecef9375, 0x0389dd21, 0xc4321ebd,
+    0x45c25736, 0x7a4bf3f2, 0x1eeea507, 0xb41d6566, 0xc33e0a7b, 0xe97496b8, 0x39a1c13b, 0x8f8e1937,
+    0xc97a21cd, 0x826bfbef, 0x3d02218c, 0x7097d00f, 0xcc938b88, 0x4bd4a846, 0x95576325, 0xad71810c,
+    0x9ff3c6ef, 0x3cdae4ef, 0x0e212f85, 0xbfa6e84f, 0xf43bf0db, 0x1d9b35da, 0x08cb1cdb, 0xadbd8560,
+    0xb7e69edb, 0x2c8ca390, 0x106997c9, 0xb9dd9b7e, 0xc89f5a8f, 0xea7de1ab, 0xbd12a2b6, 0xce1c71d2,
+    0x168ecc88, 0x0fbd44a9, 0x4ff3b09c, 0x52af5041, 0x83633d85, 0x6b03f3c9, 0xea32d3ac, 0x82136540,
+    0xab02a01d, 0x5d892c0d, 0x1b96a7ce, 0xc7dd5d0c, 0x407d34e0, 0xb5b56287, 0xda57a05b, 0x2b89fc94,
+    0xc36bb70a, 0xee36d3cb, 0x98b0cee1, 0xf4b2ec30, 0x2f86220e, 0xa8612ff5, 0x76d5f3fc, 0x4f4a4d80,
+    0x4baad2a8, 0xee97c70e, 0xc1907a0c, 0xd8dca8e4, 0xb7ea421a, 0xda6f80b3, 0x7a750e6d, 0x72714a4f,
+    0x4558fee3, 0x0904a344, 0xdaf64c3b, 0x961b8b9c, 0x10126585, 0x14693e5c, 0xe8205f5a, 0xed4f39a7,
+    0xb6aef93f, 0x9e1eadb5, 0xc3eaa7d9, 0xab9e7982, 0xed70a595, 0xe84f6cec, 0xa60547d8, 0x11cf161a,
+    0x37e32ea1, 0xd6d271cb, 0x3e68e39b, 0x3d3d7366, 0x2e10abc5, 0x24f938ff, 0xf1156c57, 0xd6d518ca,
+    0x67b0f821, 0xce3ead40, 0xd97ea538, 0x9ad75980, 0x79f87e8f, 0xf2587278, 0x205a2cd7, 0x6b29073b,
+    0x49d07080, 0x54b986c4, 0x1d6d552d, 0x45c54ad4, 0x47f352e9, 0x47dc8861, 0x6301cd4f, 0x974f75a1,
+    0xdfcae438, 0x45fb6708, 0x8e837a05, 0x88e0ac1a, 0x70a018bb, 0xb1f99d3a, 0x4e57afcf, 0xff99d955,
+    0x94189c66, 0x7afc4a7d, 0x27af0e3c, 0xd88e85f0, 0x777e8529, 0xaeb24758, 0xe0466209, 0xdb461751,
+    0x635c0e39, 0x0829f082, 0x7b5603ec, 0xb1b883f3, 0x6d041136, 0x1c8cbdf0, 0xf0d6d95c, 0xac3bf0ef,
+    0x9b457292, 0x6a2ec777, 0x6d22a882, 0x64a2f5d7, 0x732f3a6f, 0x5bf7b7dc, 0xb1e53b6e, 0x8a132288,
+    0x825ce217, 0x6d345b04, 0xbaa329b8, 0x23242b50, 0x39bf9738, 0x214673df, 0x2c0b4477, 0x29be182b,
+    0x41f97575, 0xca31b798, 0x30072054, 0x60f1fc7f, 0x29ad06be, 0x8985292c, 0xa8fef4c1, 0x1b36c48b,
+    0x732283e9, 0xc16c34c5, 0x6e5a3566, 0x2946c4b3, 0xa7617d97, 0xcfff52da, 0x9613168c, 0xc255c9df,
+    0x1fa16308, 0xe3654aa5, 0x7c533b47, 0xfaed0d78, 0x95e4f1a8, 0x9955a3d1, 0x2770a35f, 0xe1adcc94,
+    0xe4310784, 0xc8c64650, 0xa42e9518, 0x9ce7104c, 0x45c69f0c, 0xbfc8edd0, 0x1c5231cc, 0x84730232,
+    0xa74d72d5, 0x3956c1b0, 0x84599c5c, 0xcc11132e, 0xed4aeef9, 0x1c03ddc6, 0xe667fa78, 0xc66df464,
+    0x54485c78, 0x975ed3ed, 0x1c3d74de, 0x7a344391, 0x3e71d8fa, 0x61985276, 0x578dddaf, 0x8acf4514,
+    0x0247cf45, 0x89e08a19, 0x14d4eaef, 0x8a3d952d, 0xbc2ce374, 0xe03830d7, 0xcf3b5396, 0x51fa69b2,
+    0x3241b577, 0x1cd2ede2, 0x9987ba6e, 0x8f945211, 0xcde34480, 0xc256f67b, 0x853a3451, 0xea6b1458,
+    0xfdf93d19, 0xb20553f8, 0x2a1d3d2b, 0xd4091743, 0x128de836, 0x52e1aa04, 0xe704db14, 0x838e9ef7,
+    0x6791a0ef, 0x404752b5, 0x52b17a7c, 0xa60bd1a8, 0xb4938108, 0x2a6716a2, 0xab4c644e, 0xfb2ab4c8,
+    0x5c35b4c0, 0x0828f7f0, 0xdaee0a32, 0x4e65a55f, 0x06ba30f7, 0x46622637, 0xf4dc6be2, 0x53c0b082,
+    0x400ff212, 0xf2f73b50, 0xc8c96e4f, 0xc11d231d, 0x7ea81f14, 0x74427ccd, 0x6cee0f05, 0x953f1389,
+    0x88b87ba2, 0x20a287b2, 0x7fc548a2, 0x14547a17, 0xe20c1173, 0xc0f92f16, 0x9df6fc3e, 0x1f8dde59,
+    0x8c9aea7b, 0x0c747648, 0x513d08b3, 0x4961963c, 0xc0fbf273, 0xe19b10bc, 0x4b651216, 0xb7de3c93,
+    0xaf8a958d, 0x46418570, 0xc130d5f0, 0x193f7ea8, 0xce8ec292, 0x7409de62, 0xdb753917, 0x41491cef,
+    0x00000000 }, /* 10**00000000000000000000056784275335594288324165922491250354246378231303696723459\
+                         49142181098744438385921275985867583701277855943457200048954515105739075223552 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5,
+    0x3a46dab2, 0x020b9e16, 0x7419943f, 0x7a77547c, 0xe8f892fa, 0xad8eb42f, 0x5850d7b9, 0x20159728,
+    0x00000000,
+    0xa05cc43c, 0xb5ad0a2a, 0xd0b1a88f, 0x7d9dfa63, 0x75fa0fb5, 0xb42973f1, 0x9e94e7ea, 0x7d6cf0d8,
+    0x7befe51e, 0x052fcb18, 0x9e5141e9, 0x20230ef7, 0x08675bed, 0x0676942f, 0x9b64d93a, 0x1dded986,
+    0xac0c02a4, 0xd4fbd999, 0x899d7734, 0xcd8ae7ea, 0x7ff51096, 0x22761069, 0x6d40b7b9, 0xef60b849,
+    0x428acd18, 0x45168a9e, 0x165362f2, 0xf3335b9d, 0x358eaccf, 0xbf298eb6, 0x64845039, 0x9a56e70d,
+    0x6b8e1ca1, 0x97df99ac, 0x3ebfd6f2, 0x234cdb09, 0x516bafc4, 0x76f08415, 0x1d4033b0, 0x742e0a6e,
+    0xbf8fe5ed, 0x6a83ad35, 0x71ada93e, 0x1f547f68, 0x42fcbe0f, 0x1c90c78e, 0xcf3cb356, 0x9de8f712,
+    0x013f94a0, 0x21d9273d, 0x92565d17, 0x05585140, 0x07162fa5, 0x4ff34200, 0xbabe11ec, 0xeaf9dc74,
+    0x47e9ac7b, 0x1be36ff1, 0x4401cc37, 0x67d49817, 0x8a587c06, 0xbdf4494c, 0x2c4934e0, 0x933588c7,
+    0x0754ffe0, 0x14b2ee46, 0x33b4bcf6, 0x66ffacd2, 0x7ef1d63b, 0xdbf63ff0, 0x65618d14, 0x069adfb5,
+    0x084b8629, 0x0a6cf8f1, 0xc01879a0, 0x7d841698, 0xf92e7c07, 0x35a66c3f, 0x02c5bc00, 0x0c31e37f,
+    0xadc9f446, 0x434bc404, 0x58614c8d, 0xa1351ebb, 0xed6902e7, 0xd6e85c4f, 0x2eacfeab, 0xee5acc8b,
+    0xc3ee3b12, 0x3c4ba9ab, 0x0656d93a, 0xc86b475c, 0xc9c9ded3, 0xba3c7988, 0xc90bdfae, 0x46994bc2,
+    0x1efe4c1e, 0x0d8fcdc2, 0x49b9d3db, 0x82093073, 0x6a7b8341, 0x19aebc71, 0x14cb582f, 0x215de1b2,
+    0x09cd50b7, 0x764a0c37, 0x07d3aa83, 0x2cb7fb2c, 0xde5fc52d, 0x22f161e2, 0x3f94d944, 0xb7f50830,
+    0xf696b9f8, 0x1723c335, 0xe06d2a7c, 0x844543ee, 0xd1c41ecd, 0x5a39b0c2, 0x6e7d3b75, 0x41443889,
+    0xa6763ec5, 0xf8bb42d2, 0xd296554d, 0x58691340, 0x1ff90bc8, 0x30af07a0, 0x5819ec13, 0x50fd59b6,
+    0x01af8763, 0x2fa3117b, 0xaf3bd257, 0x6f18af64, 0x31d84d30, 0x975ed5ff, 0x261155a6, 0xaf8d2018,
+    0x6e6f6b7d, 0x054290e0, 0x754c214f, 0x0f368e9b, 0x90c71bee, 0xdf9f2cd9, 0x601bc0eb, 0x902d712e,
+    0x3d99cd06, 0x6beefdb5, 0xabf25391, 0x9362cc16, 0xaa8c04dd, 0xb71a94d4, 0xf45d8149, 0x4879ffde,
+    0x628341a4, 0x9faff55c, 0x3af84b2f, 0xb27d7efa, 0x30ff0175, 0x1847ee01, 0x65bd7c29, 0x5410d848,
+    0x40833bbd, 0x2c0a639c, 0x7c56cabe, 0xb41623d7, 0x8b7098fa, 0x1e10d763, 0x84b20176, 0xba268539,
+    0xfc5d29af, 0xc2c77907, 0x824dc784, 0xbc599199, 0x840e2e4f, 0x1c54bc07, 0x8556a1b8, 0x324994c8,
+    0x105c8585, 0xd139920d, 0xc7aec434, 0xf078ff17, 0xd048962e, 0x160483e4, 0xb7ae4eca, 0x0ce37881,
+    0xc0942cce, 0x14c762fa, 0x4784fc63, 0xf4348596, 0x2540c247, 0x0b81a077, 0xeee0db7d, 0xaf79db53,
+    0x51e4ea7a, 0xf783175c, 0xe6d7ee04, 0x24602cb1, 0xe4181839, 0xc8f96487, 0x2cbb1ab0, 0xfed4101e,
+    0x1164b909, 0x33321a9f, 0xc1af9ace, 0x6d1da835, 0x9323466d, 0xe36cd8d9, 0x2bde8618, 0x46dd23b5,
+    0x7a2b68c7, 0x807a6434, 0xc7197084, 0x6fe97095, 0x99911e2e, 0x6430593d, 0x0327a4c4, 0xe496da8d,
+    0xb0ac0f1f, 0xf9416880, 0x73a720dd, 0x4b621e1c, 0x1646cd21, 0xd4537bda, 0xfb21934e, 0x45e5e2dc,
+    0x6c703500, 0x3cd733d7, 0xb9bbf88f, 0x7dc52748, 0xcf50bdfc, 0x87b1b71a, 0xcb3fb4a9, 0x17b183b4,
+    0xaf301c45, 0xc5203e41, 0x6ed65087, 0xf20d388e, 0x9b0cf9e0, 0xb6a8d59e, 0xefada4b2, 0x44bf5ac2,
+    0x95197d67, 0xc0fb76c8, 0x7394ff93, 0x3aaa67d6, 0x6bcf17fc, 0x5990946c, 0x91f37976, 0x5449bef7,
+    0x77ac7924, 0xfafccaf6, 0xe1ed2960, 0xad6592db, 0xf27381fe, 0xc3a4dab3, 0xba0a6c2a, 0xd48693aa,
+    0xa50364a7, 0x71e91af1, 0x5d05870e, 0xc8b80f63, 0x1d69d35e, 0x5a96735f, 0x0c7e50b7, 0xbe7bee08,
+    0x98c9e643, 0x027c6fd4, 0x3d714303, 0x53623b4b, 0x4ee4fb48, 0xd9055eec, 0xa5b186d7, 0xa8d74117,
+    0x99333629, 0x52d27513, 0xe35971a2, 0xfd54e3c3, 0xf9f102ec, 0x7e8be099, 0x8cc61aa6, 0xb1dd3a05,
+    0xc359969b, 0x9350a859, 0x52b21d15, 0x9b6bd69b, 0xa54a1451, 0x16bfaf89, 0xdb52af2d, 0x934dc243,
+    0x5cc7c890, 0xfcdaab4e, 0xff54699f, 0xd90e51fd, 0x1025d605, 0x37e1fbaa, 0x9b245762, 0xc65a7ebc,
+    0xb9a96fb0, 0x5ef4ee39, 0xf3e73932, 0x5290d4eb, 0x0c15e273, 0xd44583ab, 0x9c18f28e, 0x98518fcb,
+    0x3341ff38, 0x9d8d33f8, 0x1e87592d, 0x254a1adc, 0x0a6bf150, 0x21b6845f, 0x84661671, 0xb1156224,
+    0x8bfa3719, 0x6916794e, 0x0f151db6, 0x9e8f259c, 0x698469a8, 0x6448245f, 0x599fa843, 0xfc9ca205,
+    0xa710fc37, 0xaed360d6, 0x6eb37a4c, 0x1e15b9ff, 0x7ecdcfbb, 0x8cfc1dac, 0x501e224c, 0xf59b6fdb,
+    0xa63626bf, 0xc158be86, 0x0efb4429, 0xef09867c, 0xfd4a2d1f, 0xd341dc69, 0x9c8b4de0, 0x3c1fe730,
+    0x74e4354c, 0x761ed5cb, 0x2fdea8f6, 0xff4e0a90, 0x50a759a1, 0x20c24bb4, 0x1855ea7f, 0xa30dde98,
+    0x514aa0fe, 0xbc281aed, 0xfeec4cdd, 0x4e430248, 0xc0dff838, 0x30553914, 0x184c7869, 0x698c0e1b,
+    0x6c57906e, 0x96b95279, 0x334f931e, 0xfa6c9923, 0x116ae34c, 0x0ec66ba8, 0x8b2dbf96, 0x4ff09e9b,
+    0x2a72d511, 0x2d6a4c47, 0x482d5f02, 0xc51a4279, 0x69d62395, 0x2aaf9b71, 0xa52e5a6c, 0x509fe50e,
+    0xe2ae61f1, 0x650a0a48, 0x8031fee6, 0xc7f81027, 0x2be15f84, 0xad6794ed, 0x8b178375, 0xfce8a695,
+    0x723c6210, 0xf31d9fc7, 0x13c6d5d2, 0xa89a1d5b, 0x7db37c70, 0x5c91a32d, 0x0ef36fa7, 0x38a59b87,
+    0xdb800f97, 0x2b42570a, 0x152ec13f, 0x20903fcb, 0x170132ba, 0x956fad67, 0x30646787, 0x03673210,
+    0x96ad9516, 0x3d2d42e8, 0x4c519b00, 0x3ce58c01, 0x60d22b7c, 0x99e4a1d4, 0xc5e851de, 0xee3317a2,
+    0x5f0324ec, 0x09af120a, 0xf0d5aa79, 0x060ad85a, 0x992737a9, 0x7154f5a3, 0x19a57170, 0xa7c9ae14,
+    0xff98f3ad, 0x89932b6e, 0x43bac9ff, 0xb57cd681, 0x9870e69e, 0xb929394b, 0xe9e46970, 0x8b7514ae,
+    0x7f55e8f1, 0xd139cd4c, 0xe8d002d9, 0xc8d00dd8, 0xb3e336b2, 0xec1068a4, 0xaf2c2523, 0xabb80d22,
+    0xa82e0fea, 0x6a36eb1f, 0xd0cdff71, 0xc03914df, 0x43e683df, 0x036c12bd, 0x067f2392, 0xf3005098,
+    0x17c71a49, 0x7d3b043b, 0xf3151863, 0xe5bcfcda, 0x3f41ce83, 0x3ef36545, 0x831c4231, 0x27ecb46b,
+    0xc9f72517, 0x495bb225, 0x74a63adb, 0xfa8b32e5, 0xbe243868, 0xbaf634ae, 0xe9473974, 0x0b336fb0,
+    0x089792f3, 0xd9e9d144, 0x5c3d87d4, 0xf64556ac, 0x7b096c36, 0x7b0e849b, 0xa92ba25a, 0xbbf3d938,
+    0x55dfeebf, 0xfc1ff508, 0x42f0d615, 0xecf0e016, 0x4b3f27d6, 0x546a3979, 0x572a2c81, 0xb227cf1b,
+    0xb79c658d, 0xccc1bfb6, 0x2b248b9c, 0xfa9d9858, 0xeaa8c01e, 0x53e779ad, 0xd8eb20fa, 0xbd746f6f,
+    0x22bc7bff, 0xd46f8348, 0x29c49b44, 0x2c4a6651, 0x5a1cbbdd, 0x317d6e2e, 0xa55cc5bf, 0xdea81d7f,
+    0x5d52e952, 0x67bad43f, 0x2337b836, 0xe6dd3938, 0xc6eb260a, 0x58346eb1, 0x54c21242, 0x4aa933bf,
+    0x937bc16f, 0xcce41010, 0x3b642b4f, 0x187b6fba, 0xf58dd82d, 0xc750c6a5, 0xc72349da, 0xc2dd118f,
+    0x61a2dc75, 0xd89c3e4a, 0x2474ea7c, 0x6fe8abc1, 0x7da2208e, 0x41bdc924, 0xd37836b7, 0xc8d9b3ba,
+    0x656690ad, 0x13a43916, 0x36f410f6, 0xd9ed0389, 0x3a8b89a3, 0x7d853c88, 0x52d4a0df, 0x2989c806,
+    0xa4a6f261, 0xd5524680, 0xce9c1cec, 0x07d88332, 0x94651481, 0xbc89e034, 0x9e8dbe74, 0x02415fe1,
+    0x7adf719f, 0x811dce65, 0xc046f35c, 0x2d08075f, 0xc26944d9, 0x6cd59ef2, 0xd8f861be, 0x10224cec,
+    0x872b9f0d, 0x9e715ca2, 0x4ce8e1e8, 0x2f6f4bfc, 0xca30065e, 0x0cfddfbd, 0x1e605ce9, 0x5cd6c16c,
+    0xe299877e, 0xcac6f602, 0x60cb5d61, 0xf969fe49, 0xa1e1bfc6, 0xeab12b9f, 0x03be7727, 0xee1fd4ff,
+    0x8c49e168, 0xb544cb2f, 0xe44e2e85, 0x40a7acc3, 0x35f08d88, 0x0a6ee21a, 0x616d175b, 0x3d2a5b01,
+    0xf1debc43, 0x42bb7d63, 0x71b84ff6, 0x765a42d8, 0xbbd64d15, 0x4387dda9, 0xc7d06d43, 0x19e3045c,
+    0x0e670cd6, 0xd0b90db1, 0xd4453698, 0xb8ebbe2a, 0x3c4f7f3a, 0xa4dcfe97, 0x7e19fa66, 0xdd126e23,
+    0x37a6f379, 0xffb726a0, 0x57c0b75d, 0x6d227e8b, 0xeaf9ed30, 0x1787271d, 0xbfee1d0c, 0x0a302143,
+    0x6372ba89, 0x038f802d, 0x4b2bc243, 0xe4aa70bf, 0xff749dde, 0x42f03e88, 0x0e390f76, 0x431d434a,
+    0xd828ff75, 0x4789b531, 0x6725180f, 0x13bc5577, 0x2941b940, 0xa2495f78, 0xf342accb, 0x1bb218ff,
+    0xa5ee207f, 0x7786fa8f, 0xe3495eaf, 0x4c7b087d, 0x02716150, 0x4ec4499f, 0xc6e79b1b, 0xd2178fb4,
+    0x75fe0063, 0x1f7e0aaa, 0x052b8a4f, 0x2a54a9da, 0xcac9e064, 0x497e07e1, 0x693441a5, 0x44370caf,
+    0x7904779e, 0xfb8ee889, 0x20c91b1d, 0x429eda9b, 0x578fd515, 0xde57d8be, 0x8ac2fe68, 0x8ab3ecaf,
+    0x9fe3eb45, 0x07072e03, 0x00d07abd, 0x6c8f299a, 0x3d614516, 0x244dbd65, 0xaf5c6425, 0xd4b3848a,
+    0xc0e1afb1, 0xf3e261e0, 0x5d424162, 0x1fcf2889, 0x55f9619f, 0x1b3ca659, 0x05a78e6d, 0xca113e46,
+    0x5cad005b, 0x72408125, 0x6eb261d7, 0xd999efd6, 0xda1b6c51, 0xccd17ac5, 0x12557e39, 0xd54be81b,
+    0x86189253, 0xfb0d1faf, 0xcd0b8ea5, 0x54770648, 0x5a918df0, 0x4725c8ec, 0xe13e696f, 0x945fcc7d,
+    0xaa4c8664, 0x31de090b, 0x8af1d415, 0x626a01b9, 0x123c41bd, 0x1a74fa80, 0xc8e42b56, 0x29b734bd,
+    0x907cf82e, 0xf4964c0c, 0x44b315b7, 0x386a1b46, 0x99a24ca5, 0xd1d4c004, 0x9e09e1fc, 0x2c5a3060,
+    0xbf3ae65a, 0xdd0869ea, 0x65cd0688, 0xecb2bde9, 0x9e2a364d, 0x8e4b3e11, 0xad09999b, 0x37971684,
+    0x7a8d1045, 0x2246327b, 0xae57c3ac, 0xd580f711, 0xc7453f6e, 0xc2e7b88a, 0x5e433b57, 0xddbf41e2,
+    0x8558f340, 0xa967af8c, 0xa6735f1e, 0x67fab31b, 0x191d75ba, 0x42a74183, 0x4eb15505, 0xf99d0452,
+    0xb5f6dfe1, 0xff3dcff7, 0xe04eea0c, 0xfd1c5bef, 0x7adae96b, 0x13c46d8b, 0x71210d85, 0xcae922b4,
+    0x34f86d51, 0x8e2a7798, 0x9bafa0a1, 0x37398ec9, 0x3ad1be8c, 0xc49fbfbc, 0xb1dee0c2, 0x21169e4b,
+    0x2a508a6d, 0x221b339c, 0x46493a62, 0xf501c0a1, 0xacfc8ae7, 0xa3a68821, 0x8605f795, 0x0f4079cb,
+    0xec34f37f, 0x083d4daf, 0xeb0d45d3, 0x463bc763, 0xcc99dc4f, 0xbdaaee03, 0x5aec65f8, 0x1b5d099f,
+    0x7c74b971, 0xeb1f75fa, 0xd853f01b, 0x76600171, 0x78d34c77, 0xf3a1bf01, 0xc48e3152, 0x12218281,
+    0x0796a24c, 0xb4f91add, 0xb8391b93, 0x86bda4d4, 0x95124b8f, 0xa9f80218, 0xb86532a6, 0xd9ceed4a,
+    0x6a9a6a29, 0x99e11d48, 0x31dda4b6, 0x22961a7e, 0x463a1e2c, 0xfe1f1fc7, 0x459dd096, 0x7f3b271b,
+    0x18c13d5e, 0x4e45224c, 0x40202036, 0x20ecec0b, 0xe0471853, 0xa261943f, 0x204913e7, 0x82a74847,
+    0x28669fb9, 0x44acacf6, 0x92c87f99, 0xe1f5827e, 0x7d8e4ba2, 0x1abaafbe, 0x766e2c18, 0xaf283bed,
+    0x524b68da, 0x7d90ddd0, 0xa2c5ba78, 0xaf4cb2bd, 0xc43cc158, 0xb94b2223, 0x8419bb07, 0x6c683416,
+    0x61a6aca1, 0x2f6d55a7, 0xeb8a1d5f, 0x7d56fd43, 0xe89c76f3, 0x0d81ff96, 0x484ecb07, 0x157f1662,
+    0xa4ad6ee6, 0x900fa23e, 0x71c9d218, 0x30d515e4, 0x99aa06a1, 0x87526471, 0x273d36f8, 0x9a165592,
+    0x334cbe5c, 0x2fa1faf3, 0xc0b6b349, 0x9418602e, 0xb98d9d49, 0x61a7f608, 0x095d7c37, 0xf3dc0afc,
+    0x14fb9503, 0x7f4edd28, 0xdda9f868, 0xd8c16cd6, 0x75e26a4b, 0xad57321b, 0x8248e92f, 0xa24aa4c0,
+    0xd83e4de6, 0xe7857714, 0x1fc4948a, 0x3ad91bb7, 0xaeffbc06, 0xfba28ed8, 0x4f38593b, 0xa9221d5c,
+    0x31e9f1cb, 0xfb7b95bf, 0xd54def24, 0x8c752ed8, 0x7fe9f747, 0xc9017bf8, 0x93e07a1b, 0x0a2d1947,
+    0x9f643c30, 0xae88699e, 0x8deec5dc, 0xcf3f876b, 0xde58629e, 0xe513288c, 0xb41ce6d0, 0x59815519,
+    0x65f26340, 0x0bbb86a5, 0x4e9f8d38, 0x4ea80f6a, 0x5f288a4d, 0xb9b7406e, 0xf82b6126, 0xcabaf0a1,
+    0x2a1e14d8, 0x3d78d5dc, 0x4be7d1f8, 0xfe8acb33, 0x5a48744f, 0xb3eb5d16, 0xfa41cfac, 0x76ecfa7e,
+    0xe58b0133, 0x0da40a0c, 0x037a59cf, 0xb910c5e3, 0xb27ba74b, 0x03bc54ff, 0x7f43c9af, 0x2d5657bb,
+    0x00ff1c2c, 0x5cd8090c, 0xe6392184, 0x0f0864f4, 0xdc30129e, 0xbe7baf3d, 0x48bbc330, 0x48c1ccb1,
+    0xc08b3138, 0x3277607e, 0xcb6a1c5c, 0x61532740, 0xfb69849a, 0xcfaf88f5, 0x50dc9ee4, 0xe5fe2e44,
+    0x0643df61, 0x8d65d838, 0x0a17e613, 0x17aa2648, 0xf507e945, 0xcfe5c5f9, 0xc37d33ae, 0xc140a2f9,
+    0x24615ebf, 0x3ee376df, 0x9f71f219, 0x3f186229, 0x10403b59, 0x1679e0bc, 0x8766eb38, 0x41da6248,
+    0xdbdc0d98, 0x70bd417b, 0x1eed4401, 0x8509d51c, 0x8463dc58, 0x71841975, 0x23217ed1, 0x67e8715b,
+    0xa27017c9, 0x68ccf3c1, 0x6f04e725, 0x5e61e9bb, 0x255ff495, 0xf98039d9, 0xff7fd9d3, 0x0906fcc1,
+    0x1b313316, 0x69615adb, 0xab6bec0d, 0xec120a9e, 0xdf2e82db, 0xbbd31fee, 0xa27e34ba, 0x22d01732,
+    0xaec7b8d0, 0xa0097a0d, 0xc2cfced2, 0x4db1e3dc, 0x193043a4, 0x8df7cce0, 0xefeba98c, 0x6426ed2e,
+    0xe4c574c7, 0xd3b6474c, 0x774a0faf, 0xf4d2410b, 0xcd681239, 0x09dc262c, 0x5242f9fc, 0xa96ecbf6,
+    0x1c87b8c7, 0x46c2d6b8, 0x943f9063, 0x4a5d2d8f, 0xca6527df, 0xbae0e243, 0x211cb2a6, 0x4300e8b4,
+    0xe04abae4, 0xed865c5d, 0x7460f547, 0xc0311e3d, 0xce6dc732, 0x14aceb11, 0x2991a843, 0x1f9d6c91,
+    0x33c09cbe, 0xfcff490d, 0xcb05c1e9, 0x841c6124, 0x6798a199, 0xee743f59, 0x1d0eb5f4, 0x432f6e5c,
+    0x13d90ba0, 0xabbeffec, 0xacc19e1d, 0xf0a13840, 0xd8bb5788, 0xe5952fbd, 0x4fc674af, 0xa9fcda7a,
+    0x24ec3684, 0x3657439d, 0x8da6e4eb, 0x11f273d2, 0x062e4c11, 0x5011759f, 0x23fc3b24, 0x3bd39f51,
+    0x2666d1e4, 0x785729a8, 0xdf6cd069, 0x35867619, 0x8953f1a2, 0x7c2782dd, 0x28109966, 0xcf9abe5a,
+    0x2ee25b52, 0xe0ab29b0, 0xd5b51bf7, 0xf4a8857c, 0x676ca375, 0x4917c2f8, 0x54e04c54, 0x1dbff5c5,
+    0x4d779f2e, 0xd61ecb3d, 0xa5c2cd5a, 0x475b145c, 0x887a1b86, 0xdd233d55, 0xa65f7d5e, 0x159c46e1,
+    0x53429923, 0xb4417f4b, 0x0fb8c0d8, 0xea031f42, 0x90723a11, 0xd5a24d9d, 0x286942cb, 0x5f1120a6,
+    0xd4a62f33, 0x0ac30628, 0xa04f51a9, 0x5abd156a, 0x8a5cd6c5, 0x18c192ce, 0x2df2902a, 0x1d82a7ba,
+    0x9bda96ed, 0x0caccbc1, 0xcf14d615, 0xc0c34760, 0xded93c37, 0x74ac3a08, 0xafe38a10, 0x27a81b3b,
+    0x00000000 }, /* 10**00000000000000000000028392137667797144162082961245625177123189115651848361729\
+                         74571090549372219192960637992933791850638927971728600024477257552869537611776 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a,
+    0x9d236d59, 0x0105cf0b, 0x3a0cca1f, 0xbd3baa3e, 0x747c497d, 0x56c75a17, 0xac286bdc, 0x900acb93,
+    0x00000000,
+    0xca9d650c, 0x6d564194, 0x3433f155, 0xb6b8d6a5, 0x91961423, 0x4f3f8356, 0xed9e0b7e, 0x13c3a75d,
+    0xc22b6abf, 0xc2109e9e, 0x1ab3958a, 0x5a95f142, 0xbbfaef44, 0x82a03000, 0xcbb16f3c, 0x5e10c861,
+    0x391688ec, 0xd0172dcf, 0xa7dc4840, 0x9677343b, 0x3b049c32, 0x9766a67d, 0xb6519d8f, 0xde93ac31,
+    0xa572ddcd, 0x22b8d627, 0xfbab3411, 0xca9d5310, 0xe3bc06ef, 0x85b23f10, 0x0bc2aca5, 0x0def62ab,
+    0xf4e274dc, 0x7da8e182, 0x6c0526d5, 0xf7ba3519, 0xfbf871ba, 0xa71d46fd, 0x0cf45ec2, 0x0dec5066,
+    0xc34bc2a0, 0xbc7e0829, 0xc1996852, 0x74fcc259, 0xd57a9a66, 0x89f10be0, 0x03072bf8, 0x54934ac9,
+    0x47a20fc1, 0xe3e260e2, 0x6e94a4a1, 0xa4fbab1a, 0xb89aca75, 0xfec21fc7, 0x0033319a, 0x4eb61e97,
+    0xf4c00416, 0x648937d0, 0xce912456, 0x35a4bb5f, 0xadb917e9, 0x3a50a66f, 0x60a86a8f, 0x6f84e17f,
+    0xc953f4b1, 0x8fcd4c68, 0x45d721a9, 0xa0551bdc, 0x3f1c1f60, 0x026b6ac5, 0x4f33038d, 0x4a2669ae,
+    0x0ded6e0e, 0x79bc0847, 0xa1cbcb48, 0x15764e80, 0x6d235a0b, 0x96cace66, 0x392b1b06, 0xf7abe3f9,
+    0x77ff7ff5, 0x572ce4a2, 0xf77ecec2, 0x3f4c7e9d, 0x70067649, 0x839a042b, 0xaf07f9f9, 0xc0cb55bf,
+    0x4ecadd47, 0xd35d46d4, 0x63ba0b5a, 0x5c7eb5c5, 0xf408b9c6, 0xe2a35630, 0x75bc5499, 0x2f10e12c,
+    0x52721919, 0xd94cb173, 0x55b9dc71, 0x27060c60, 0x57596fa2, 0x5ff9cbfb, 0x9dfc1ce7, 0xb373e6c0,
+    0xbb478a5e, 0xa7d346a7, 0x40bdfaa5, 0xb442a204, 0xeb52bc04, 0x65c95958, 0x74d3b1bb, 0x0d538dd0,
+    0x1337d829, 0x1b0114b5, 0x8201bd0d, 0x04ff79fa, 0xac2bac7d, 0xe61807d7, 0x2a1b6741, 0x7785c098,
+    0x0915bbb2, 0x3b140fe7, 0xf0578070, 0xabf357a7, 0xbb1fce11, 0x920756d9, 0xc42adc9c, 0xfeb4e526,
+    0x2d1a6141, 0xb7acdd4d, 0x924cc9f8, 0xb2089810, 0xb64f5e67, 0xbf63db64, 0xba22ade9, 0xc5ff6b48,
+    0x3ad95787, 0x091b7041, 0x37b5a9c0, 0xaa14caa5, 0xf7f8193e, 0x4fb2fa16, 0x24cda44d, 0xc8f79ae5,
+    0xf6006b53, 0x3cc34436, 0x5501e51a, 0xe5481a65, 0x59d06eda, 0x685e2948, 0xa1321435, 0xaa35dfae,
+    0x2f652a0f, 0xd2125492, 0x8d557893, 0xb365a1fd, 0xf8f23c7b, 0x4226184a, 0x1e4df701, 0xb6ef4fba,
+    0x9989def3, 0xf7729165, 0x437a862b, 0x1a196ff2, 0x616c3620, 0xd99c135d, 0x365be04f, 0x16c7c769,
+    0x9336eb0f, 0x4a48f845, 0xed0ebcb8, 0x0a64f2ca, 0x28f20d66, 0xe8bb0fb6, 0xca5671ed, 0x6c4cde53,
+    0xe59b7118, 0xa98b8247, 0xe31cabf2, 0x899f1ef5, 0x435a1ea5, 0x31b6ff07, 0xc9827d56, 0x5e45ea93,
+    0x1604eef5, 0x4d46002f, 0x00128531, 0x444183d3, 0x05e5bede, 0x77545af3, 0xbfd60cd1, 0x3c184256,
+    0x1c49d308, 0x1e3a1410, 0xe407fc56, 0x835a2814, 0xeafcdf23, 0xee681381, 0x04f8efb8, 0xd19558e4,
+    0x3eedf39c, 0x5afde636, 0x262fee40, 0x83b60eda, 0xd8abb785, 0x15e72bb2, 0x65397820, 0x7b1bd04a,
+    0x67d458c1, 0x6fc4d868, 0x710103ff, 0x542cd673, 0x4fbf5b31, 0x13a970af, 0x8d655a7c, 0x6b51a954,
+    0x271a30b5, 0xaf33ba8f, 0x9e6a8e2c, 0xa3acc55f, 0xe10f3972, 0xebbdd6c2, 0xd94f3171, 0x65612ccd,
+    0x73e74e3e, 0x1311dcb9, 0xf1c218cd, 0x3261c623, 0x8cca25c6, 0x182f2e26, 0xb8624d22, 0x6bd71b04,
+    0x8482140a, 0x56d303f1, 0x057f8e07, 0xd428da4e, 0x9b568ec8, 0xebd2a8bc, 0xd4dee8ec, 0x762f17cd,
+    0xe9bd64b6, 0xebd20494, 0x16829a64, 0xafef140b, 0x241e9885, 0x267eefff, 0x17c0d537, 0x5a7edcf6,
+    0x20d2a75d, 0x485732d6, 0x8f72bd95, 0xb9d58780, 0xc178883c, 0x238c58dd, 0xcc5cee55, 0x6ea74f04,
+    0xdc834b68, 0xfb8dd529, 0x8a406627, 0x9596ea79, 0x9251ffd6, 0x9ff0c862, 0x099a4b24, 0x4ff5b70b,
+    0x894d68e1, 0x674b70c3, 0xb75420e2, 0x655a13fd, 0x351e5c7f, 0x998d59b8, 0x883b9965, 0xc2b52f5b,
+    0xd68777b6, 0xea0da174, 0x0ef47ca7, 0xfa7c0be8, 0x3f83dd10, 0x6a3fb224, 0x623a895c, 0x78273500,
+    0xe1924ea7, 0x20d007f4, 0x3043358e, 0x43539b31, 0x727c5e17, 0x14742fc9, 0x275625e3, 0x56379549,
+    0x9f2b4cdc, 0xc02b9f07, 0x9460021c, 0x1c2c148c, 0xd5b25cfd, 0x455d6435, 0x4d30c69a, 0xce2aa9b3,
+    0xeff415ce, 0xd992ad77, 0xa66b17ba, 0xcb9ecf52, 0x3e55898b, 0x8f70e4a9, 0x6f89764c, 0xaf8e43b9,
+    0x9d1cf9ab, 0xcb6256d3, 0x0cfbc52d, 0x5522512e, 0xf5cbab15, 0xcd732b8c, 0x7e8b3a4b, 0x4cd0bf0e,
+    0xb819be56, 0xfefbef6b, 0x650c4ea3, 0x129080c7, 0x576a9ed1, 0x75cdae63, 0xf76aab65, 0x27964b31,
+    0xec5a32ab, 0x12aa15e2, 0xdb5f0dc0, 0xd1bd78e5, 0x413097f7, 0x09170711, 0xd0fec4d1, 0x3206d9e2,
+    0x0434efef, 0xe1e250a1, 0xf97405f4, 0x96ad1383, 0xaadfbfce, 0xa355e2be, 0x29d21e8f, 0xb24c4b6a,
+    0x690a403d, 0x5a64d601, 0x4229efab, 0x427ddd01, 0xd48555bd, 0x218874ef, 0x8351ae1c, 0x4d0758ca,
+    0xc9e6a8f7, 0xacfe2dd3, 0x451e7785, 0x55c0de58, 0xe3c1494d, 0x3d587a45, 0xd4ec124e, 0xdaa26c7d,
+    0x22e6046b, 0x76deb9dc, 0xf724468e, 0x0e34da37, 0x0434bd63, 0x54037034, 0xfa017c20, 0x440a7938,
+    0xbd679410, 0x95988e33, 0xf9af3bef, 0x8e663c31, 0x9256744f, 0x4a9677ae, 0x99ca4506, 0xc09d0c94,
+    0x31dcfb9e, 0xd6b8598f, 0xf11840df, 0x6b057c15, 0xb45666ca, 0xa0110380, 0x68de3361, 0x9972abf8,
+    0xaf638343, 0x21b51526, 0x8bdde998, 0x8c1a6d15, 0xd99a8729, 0x7bd55804, 0x64c55f2a, 0x323877a0,
+    0x2f32b790, 0xb7a0da10, 0x35ebe64c, 0x7e139fd8, 0x2aaffd2d, 0x8759efd9, 0x81951916, 0x75a09ebd,
+    0xc5b62036, 0x88928d1a, 0xe3adf167, 0xb6c564f3, 0xee943b41, 0x6e71cc5e, 0x4fe55328, 0xbaf3e315,
+    0x697102b8, 0xf9cd9562, 0x9ca13fc2, 0x6f011e1e, 0x1eec1b68, 0xde542104, 0xdedd46a4, 0xdd0f1151,
+    0xb8cee4b2, 0xd17f6814, 0x33867fdd, 0xfcadb88d, 0xb72f7864, 0x3dcf7dc0, 0x3220ca7c, 0x91617b76,
+    0x599eb2b3, 0xa3b3b878, 0x85464db8, 0x79728292, 0x3e88de66, 0x8b728419, 0x422d679a, 0xec569a19,
+    0x2e07894b, 0xa7e0c948, 0x6937d232, 0x812b7497, 0xf9c9bae8, 0x3058fa62, 0xd71be86b, 0xa09507cc,
+    0x33a0e3f7, 0x5820dd12, 0xeef5731f, 0x43dce178, 0xee3efd90, 0x8b39c2fe, 0xe331c097, 0x96b64fca,
+    0x14d39c5c, 0x32fb023e, 0x1999225e, 0x68d0b411, 0xeb875b1b, 0x2050643f, 0x7184afee, 0x8db759b8,
+    0x49f495e3, 0xa10d2ab7, 0x93232b8c, 0x17ee3e97, 0x6d029feb, 0x8ceba5a9, 0x627647a4, 0xd2806166,
+    0x6ff0d86d, 0xb55be010, 0x619c4153, 0x6ad41fab, 0x958df8ce, 0x8acbfb82, 0x10e201ec, 0x526cd3ed,
+    0x4858090e, 0x8838b3c4, 0xef8a2345, 0xd4a1b027, 0x139ee072, 0x3ee9cc86, 0x350b137b, 0x4738996d,
+    0x30c6ec3f, 0xf98a3f47, 0xc2592bc6, 0x22029041, 0xb2f2a2d1, 0xeaff9f14, 0xd9db279f, 0xcdd73bc5,
+    0x5dc8794d, 0x997802fe, 0xad67fc29, 0xed46f68b, 0x7829cfbd, 0xd6e8744b, 0xff7b28ce, 0x2cb81c0c,
+    0x81a28638, 0x775af155, 0x946cab47, 0x886a7776, 0x9e47fff6, 0x2a7006eb, 0x4b540bf5, 0x2811fdd7,
+    0xcc7e92fc, 0x174b64cb, 0xf05737f7, 0xdfa0ab4a, 0x879bed58, 0x4c04a9f1, 0xbd51e039, 0x44b1cde8,
+    0xdfbdfa6d, 0x6ba0dea5, 0x8cc41983, 0x4607cc3c, 0x4010f07b, 0xd44c0dbc, 0xd66b3946, 0xcc60474f,
+    0x55cd8ad4, 0xb4fe7dec, 0x0e051795, 0x91a35880, 0x09029367, 0x2a145d67, 0x02aea07f, 0xac677c0b,
+    0x0cf06748, 0x15c8ebb1, 0xdc66339b, 0x4e300f9e, 0x674669bf, 0x05ee4bc8, 0x51c2721f, 0x31fd3405,
+    0xb96cf2f7, 0xbf33023d, 0xadd36b46, 0xd7f550b4, 0x571fbf4a, 0xc22d9be7, 0x13ec6467, 0xbc44f73c,
+    0x97036c22, 0x880f3d3f, 0x7450b566, 0x26dcafa4, 0xf78eb50e, 0x4dfe1e32, 0xc9d6e16e, 0xfe921c84,
+    0x6c1225c6, 0x7fdfaac8, 0x87cd3efa, 0x0cb6c2c0, 0xc4fcc8a7, 0x48a3c9da, 0x544c1a6f, 0x9cde5711,
+    0x92b59cde, 0x1da29fab, 0x0815c2e7, 0x6195507e, 0xf41c673a, 0x43903695, 0xa3d37bb5, 0x216f597f,
+    0x0d0e1db1, 0x61426df2, 0xd1917c74, 0xdb31efd8, 0x3b8f9ef0, 0x7b738c7c, 0xdfcd2ab3, 0xa3c85285,
+    0x405230ec, 0xe2f18875, 0xbc0c8a12, 0xec1845d2, 0x751cd4c2, 0x623d314c, 0x152eca81, 0x5a112116,
+    0x7e8e017c, 0xf76fd766, 0x06860696, 0x5b26a73e, 0xeaed71c8, 0xf5f31bdd, 0xc390d30b, 0xc34168e8,
+    0x954f0335, 0x06ec732e, 0xe2aed130, 0xfdbbe08f, 0xa3a40135, 0xc5026d01, 0x0fe7f7c4, 0x3b2ec43e,
+    0xa01fa099, 0xd6aefde0, 0x9d285dc7, 0xa6f664aa, 0x1e5a34e1, 0x937132cd, 0x2e4a8e3c, 0xc3fdae4b,
+    0x9bc73414, 0xa6080c1a, 0x60e2146a, 0xd6d1a280, 0x53ea9fb3, 0xb719c260, 0x555808fe, 0xe537fd11,
+    0xfd01e5ac, 0x4ff3f566, 0x1c327162, 0xf7efd916, 0x8d22b188, 0xfe6da4d6, 0x38437bb7, 0xf4d93182,
+    0x84fd3eea, 0x9f78025f, 0xc982e0dc, 0xbc9d329d, 0xbaec3a97, 0x9b45e9af, 0xda65f68a, 0x1a4ff61d,
+    0x4189ea17, 0x0918e82f, 0x4a74b417, 0xc3cdd2d9, 0x70e89d65, 0xb90a90a0, 0x97800de3, 0x83333e76,
+    0xcaf26abd, 0xe78a55f0, 0x1352f843, 0x57285ab3, 0xa3bca8f3, 0x0031afba, 0xbe03e7da, 0x41a4bb23,
+    0x5aeeedbc, 0xb8ee9de5, 0x60f611eb, 0xd8411ea3, 0x339abcdd, 0xa09ce6a8, 0x1f5781ba, 0x2d9eb1c7,
+    0x85e79a78, 0xb7f076a5, 0xb265a06c, 0x651a0481, 0x06220d09, 0x99412c2f, 0x58dd5dfa, 0x72748481,
+    0xf82d7439, 0xd53c591e, 0x3755375d, 0xdf2ec052, 0x57df5d44, 0x119a30f3, 0x544ef75b, 0x4a93908b,
+    0x2149dbef, 0x1c721450, 0x523f1659, 0xd26aa008, 0x750ce22f, 0x2d03604f, 0xa31b9b33, 0x8600946c,
+    0x9edf3ff9, 0x5daa31da, 0x4d4bfd26, 0xc048fa9e, 0x2e3331ec, 0xe44e5db6, 0x54338c28, 0x7b2d13fe,
+    0x2f3a2cc9, 0x1aab1dbb, 0x2a95f9a2, 0x40f81ac7, 0x0f8aa8e9, 0x66bc1622, 0x2841fdb5, 0x1c10a8e7,
+    0x482ca018, 0x3b7132d6, 0xc9e4698e, 0xa6476bb0, 0x5e9dff77, 0x4c050403, 0xaa9011e9, 0x268e1877,
+    0x05969c90, 0xb0ca3acf, 0x87370345, 0x1f97aef7, 0xbb0dd287, 0x8155b09c, 0x773b2469, 0x14b28d79,
+    0x60f9b64f, 0xfa297ff5, 0x5e88c9b6, 0xfdeb0ddf, 0x0709abe3, 0x10b501ac, 0x58252702, 0x8234cf56,
+    0xe9cc1817, 0x3dff8168, 0xd5b5d755, 0x8cd2d7d2, 0x11477d71, 0xc5d04570, 0x25483b80, 0xf84e6c2a,
+    0x583c62a5, 0xfbc4e112, 0x4e80686d, 0x550f9d84, 0x4c3b3431, 0xdec3708d, 0x5cf7652f, 0xa8ad666d,
+    0x4b9e21c3, 0x2f25665c, 0x61d53258, 0xfb1a636d, 0xf2f78329, 0x307976eb, 0x03ee67dd, 0x8b79784d,
+    0xe103dc8b, 0xf29bc61f, 0x7b53e3fe, 0x9cd3f813, 0x350f6117, 0x28a09576, 0x373ae581, 0xbcf5ad9c,
+    0x2aa975d5, 0x8639d1d5, 0xac49cb78, 0x4a2530a4, 0xccf44fe2, 0xf4df231c, 0x3ebdc832, 0xafc52a13,
+    0xcc2e2f5b, 0x0af65814, 0x844eb320, 0xfec35e5d, 0x507346d3, 0xa8bd9049, 0xd746e8d9, 0x36e32ed3,
+    0xbf8ccbb9, 0x41f5a1c3, 0xdfde4ddf, 0x64cdc061, 0x22da1319, 0xafbc89a8, 0xc9576eb0, 0x346e2cb4,
+    0x019f578e, 0x401909aa, 0x16cd08c4, 0xdd641f26, 0x790a8d2f, 0xb458951a, 0x9ab64845, 0x9ddf8cf9,
+    0xee172c27, 0xdc2d852f, 0x196bad46, 0xc8f962e2, 0xda3142f9, 0x95f0bbaa, 0x561ace92, 0xccf64d0b,
+    0x0f59cbd2, 0xeccdc812, 0x0dcb30a7, 0x7a126cb6, 0xcba2546a, 0x6fcf4d7e, 0x60613929, 0x019f29ee,
+    0x63498692, 0x3f2de396, 0x2da7f801, 0xb5dbef84, 0x36fd382e, 0xb33b8af3, 0x5d208706, 0x11ac3b81,
+    0x7130c143, 0x9ee84cda, 0xc9e71c1e, 0x5c2f770a, 0xc6afab52, 0x091baf2e, 0xdd36f7bb, 0xa49ae4f5,
+    0xbd5a0d17, 0x17bc4c5e, 0xd2abe08d, 0x65680234, 0x2d0eafb3, 0xc6a04748, 0x301a9a6e, 0xc43e0af9,
+    0x56c2cf93, 0xb5b30dd1, 0x76220948, 0x8df7de73, 0xde253d5f, 0x39456405, 0x838241eb, 0x62914518,
+    0xc1db61f2, 0xcfdcc984, 0xb79ef171, 0x6047b922, 0xebe37b25, 0x023bedc2, 0x19c32789, 0x5e089bb6,
+    0x00e72592, 0x6783e116, 0x29c5b97f, 0x33a9cac2, 0x14cb5cec, 0x3e8caac4, 0x6c9f14cf, 0x4f853138,
+    0xc7e65b8f, 0x78ae4d8f, 0x6210cb20, 0xf12cad3b, 0x16fedbd8, 0x8d5962e5, 0xf6a53108, 0x449a873a,
+    0xc8ab7307, 0x08b3348f, 0x3e8f6413, 0x7da28a2b, 0xa0ec377d, 0xb0e76b71, 0xed045ee1, 0x8583b2eb,
+    0x23c12c2f, 0xec4e298e, 0x72be330e, 0xfe974a8c, 0xdb1b7335, 0xda9cb6e4, 0xd2246221, 0xc72d70e2,
+    0x3683ee48, 0xe7e18c21, 0x22b373ad, 0x7e4d2134, 0xb2ee0bc1, 0xe7fa79dc, 0xd452bb89, 0x51fa3440,
+    0xb32fd04f, 0x85c39910, 0xc0872791, 0xa7fe3bd9, 0x259f89a2, 0x9ae99ba7, 0xc776a211, 0xf91042e5,
+    0xbe4c9c23, 0x52f0069f, 0xf96bff78, 0x6f100eb7, 0xd9fb7817, 0x8e79fb3d, 0x7467d4ed, 0xf1e225a1,
+    0xa21d3900, 0x598bfd33, 0xf8fe7b02, 0x141f93c7, 0xc034a5a5, 0xfbe42248, 0xd9d97c70, 0x961029d1,
+    0xf05d06b0, 0x5a9570e3, 0xc4cf8002, 0x185ef5c7, 0xbe0dc48d, 0xd26d2e95, 0x41e1c221, 0xe0488a3d,
+    0xa3387882, 0x152ea1e8, 0x3f576bfb, 0x8d1c48a3, 0xd4430e7b, 0x3c1ee12c, 0x4cf32f25, 0xbfc603fc,
+    0x3b2b54bc, 0x5b6a4251, 0x9119d888, 0x4fe2c4da, 0x621c676d, 0x608a1a8f, 0x76aee8a5, 0x69e780cb,
+    0x5358ca53, 0x44f209fd, 0x0f64b0e3, 0xa6f6a4dc, 0x3ec5f2c6, 0xbb62a3a0, 0x2e31ebec, 0x4bce407e,
+    0xa2ab63eb, 0x90610e35, 0x4c9b1d59, 0x695250aa, 0x5765a0f5, 0x00ec2709, 0xc970f08c, 0xed36e49a,
+    0x9c2b7dce, 0x27b20079, 0x3b138959, 0x18980ebe, 0x892f048e, 0x8817efee, 0xfc530ad5, 0x9c18eee4,
+    0x4467c587, 0x854ae617, 0x4e1d6ce9, 0x53b645a7, 0x3bf907bb, 0x6df7e117, 0xc0a32252, 0x0bce7ed3,
+    0x6b8eb38b, 0xdc58665f, 0x5ca07260, 0xdf12802d, 0x7e816062, 0x62bd53b6, 0xfdcc0375, 0x68fedccc,
+    0xa1d9200b, 0x2dfc528f, 0x50efef21, 0xdb02d628, 0xfcf92b4b, 0x1c3e42b5, 0x02e50c28, 0x86613083,
+    0xd5b3c030, 0xb6431bc9, 0x527620d4, 0x4a4f6e7d, 0xc93b6f22, 0xa46b440a, 0x4d197851, 0xa9981374,
+    0x00801a76, 0xcca6e275, 0xab5fe499, 0xd91b4aa9, 0x0c0815b6, 0xdf733de3, 0xadff7753, 0x31ceb7fb,
+    0x5e045ae5, 0xd5e5dd0a, 0x60b63dab, 0xc5151867, 0xe21f0e81, 0xe9709ec9, 0x22d65b9a, 0xec2d099a,
+    0x2a95acd4, 0x006bfcda, 0x4c9259f9, 0xfb43f838, 0x32f8e223, 0xeaa694c8, 0x3e9764a7, 0x2fe35393,
+    0x22c05d58, 0xc697c70c, 0xe8136190, 0xe0a0d76e, 0xebfe9170, 0xbd8aa05b, 0x1eed7110, 0xc69126eb,
+    0x00000000 }, /* 10**00000000000000000000014196068833898572081041480622812588561594557825924180864\
+                         87285545274686109596480318996466895925319463985864300012238628776434768805888 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad,
+    0x4e91b6ac, 0x8082e785, 0x9d06650f, 0xde9dd51f, 0x3a3e24be, 0xab63ad0b, 0xd61435ee, 0x480565c9,
+    0x00000000,
+    0xa10ae36d, 0x70f419ee, 0x58e000e8, 0x080e0f54, 0x34998823, 0x274c8a51, 0x272c9b18, 0xb3fa2d18,
+    0x8e31801a, 0x8ab33b4a, 0xd54d5e84, 0x9f34ebb1, 0xe8b30157, 0xbf671427, 0x8ab4cad7, 0x6c3b9337,
+    0x5877e17b, 0x6e3f78da, 0x85a675c8, 0x0d090e63, 0xa4a95553, 0x70d63082, 0x05f70b22, 0xf40cbeed,
+    0x30484b42, 0xe136c772, 0xa55e1e92, 0x405ccc08, 0x9071b330, 0x7db5e6b2, 0x9467e8b3, 0x9ebc26eb,
+    0x3f9ae7e2, 0x96abc197, 0x6fcce723, 0x74632ab0, 0xc45aee1e, 0xb33dc0b3, 0x747ae056, 0x5db5cf87,
+    0x35a0214e, 0x447d48cb, 0x19acb3c9, 0xe5630bf0, 0x25eeeb71, 0xfae09b8a, 0x7a16362a, 0xc65bfa90,
+    0x6f3de417, 0xb8be46e8, 0x365316f3, 0xd9d7840c, 0x639070ca, 0xcdb831e9, 0x4044f8b8, 0x4e796c30,
+    0x0b0796a6, 0xea3f3ade, 0x3270dc48, 0x37241f88, 0xddeed9fc, 0x19ccc06b, 0x6f81adbb, 0x68bcef2f,
+    0x4f73f355, 0xc7d0df96, 0xdf60472c, 0xe4eaaa4b, 0x20fd9c21, 0xa6eb6467, 0x0f7b7705, 0xc2860f18,
+    0x2ddf1fcb, 0x23436d61, 0x5205bf18, 0x9eec95f5, 0xad2fd2ab, 0x97b37748, 0xa0e42c3d, 0x44019fec,
+    0xce44f0f1, 0x0b6e341b, 0xe39c0a8b, 0x881cf73b, 0x7aed23d2, 0x4e723d47, 0xb2160304, 0xf1e3e592,
+    0x225874b2, 0x3e987185, 0x0e75a11a, 0x5c7d9fbc, 0x5cb03654, 0xfc1d1225, 0xf0ce6cfd, 0x5220f4bd,
+    0x453c228f, 0xeb1deb5a, 0xfaa25e81, 0xda8f58a5, 0x8ce7af6a, 0xef1b20c9, 0x91a56269, 0xd8d7c447,
+    0xd5dc1968, 0x7a327e9e, 0x24cac866, 0x33044cdb, 0x7dd218f8, 0x7536b4ba, 0x52503772, 0xad65e069,
+    0xe02f8be5, 0x93541292, 0xcce84e43, 0x8a8b74af, 0x24193d9b, 0x8adebb33, 0x01278ba6, 0xa48ece38,
+    0x29121f70, 0x94e8a475, 0xbe953ab9, 0x62db10df, 0xfaf9d0e3, 0xa4e937ae, 0x59da09f1, 0x39e34b78,
+    0xb313b07f, 0x88b3d5f5, 0xfbd59a87, 0x86801261, 0x98f99f2c, 0x056fc43e, 0xe58e1bcd, 0xd1b5655e,
+    0x3afd1433, 0x5f872988, 0xeb354db3, 0x9f86a30d, 0xe4c4875c, 0x95e3e913, 0x3632d766, 0x81494c39,
+    0x5332db3a, 0x542dfad1, 0xa5db3fa5, 0x36eb0f44, 0xbe073212, 0x7b794144, 0x3efaeb3e, 0xc1d0c1da,
+    0xdbb475b3, 0x726cc003, 0x558fdb0d, 0xa756e00d, 0x3f9e592e, 0xcbb0bfd0, 0xceb7203f, 0x8a90e111,
+    0xe60452bd, 0xdd2226ce, 0x0c5911e8, 0x1a008f43, 0xac0107f8, 0x4b388e02, 0x1b95cc10, 0x6f530873,
+    0x79159a95, 0xb4bbf2b4, 0x68c5c1c0, 0x87903e18, 0xdc25af45, 0x71ee14c4, 0x00859125, 0xf66d4d74,
+    0xc0fba51a, 0xe218788f, 0xbb7579ca, 0xfcc5f83c, 0xd1c3b76d, 0xed95ee82, 0xf9b16aad, 0x72aed567,
+    0xaeaf1677, 0x473dcae8, 0xf05c8015, 0x42fcead1, 0xbfbe2c52, 0x9f43fdcd, 0x198065f3, 0x334bc30d,
+    0x2c6fcf88, 0x71d361ea, 0x4541f9d9, 0x51ac4e23, 0x1c320cea, 0xd74e774d, 0x25773df2, 0x5518c34c,
+    0x0280944b, 0x05294c34, 0x97df7e1e, 0x06e9f01e, 0xbcac34fa, 0xa5b91e21, 0x46228019, 0x07ec10d1,
+    0xcd5f4c61, 0x6e1669b7, 0x903a3f7f, 0x2a750483, 0xdf9a3577, 0xf4af702d, 0x531f284d, 0x04dac323,
+    0xb8ff1751, 0x0cfd3a35, 0x33544bd6, 0x231ef723, 0x4594b089, 0x77b59267, 0x531bf3f9, 0xf0a209cc,
+    0x338f6450, 0x460030e6, 0xa6aae8a3, 0x4cc9b6ae, 0x06b51b63, 0xea8ecbe3, 0x3a8129c2, 0x933b3434,
+    0x229eccd2, 0xcd303a1c, 0xac133f80, 0xc4827d97, 0x34a690cc, 0xf106a99f, 0x26977090, 0xe1f9268b,
+    0xfa1b9d93, 0xa74af407, 0x84b8a7ec, 0xe44c3d27, 0x4e64588c, 0x7f012d76, 0x9f9c9d72, 0x564acd52,
+    0xb9db4a6b, 0x3a05786c, 0x20ff1180, 0x6c964ab6, 0x49a5c16b, 0x18d234c6, 0x665d1a54, 0xbf6e2203,
+    0x3051f4c9, 0x01c4bdfd, 0x0d55a141, 0x79984a15, 0x4fbb1aa3, 0x1c889e0c, 0x9a94e935, 0xe6303cfb,
+    0x1fa20273, 0x0770f1cf, 0x720dce97, 0x3cb8d8d3, 0x298a1782, 0x54b79d33, 0xa2b9ac0c, 0x5cc0628e,
+    0x7a29bf32, 0x66190d26, 0x17d35eaf, 0x0777a946, 0x56616bcb, 0x76e7914a, 0x948b8cfd, 0x925a8ae8,
+    0x9304a08e, 0xfb7c2196, 0x10269244, 0x40f5fed6, 0xaa96c726, 0xbaec4c01, 0xdb364725, 0x791b8d25,
+    0x44111bd7, 0xcea2fc90, 0xccea8c88, 0x4d329f0c, 0xf52b5af9, 0x1dadb60f, 0xa6d696d3, 0x63371cc8,
+    0xbfa15544, 0x95515141, 0x1fba2f53, 0x0379202f, 0xb82aba70, 0xf243e5a7, 0x5a66485f, 0x741d8fbb,
+    0x03b9eb30, 0x67ccccaf, 0x9e72ae20, 0x580034c4, 0x27d811f0, 0xb28736d5, 0xededd6b7, 0xe82c591a,
+    0x32f44644, 0x5aaed5c5, 0x0648f243, 0xf1e0d892, 0x3bd4655b, 0x66c23aea, 0x17af8620, 0x1e4dd77b,
+    0x8a68abfd, 0x343c8c65, 0xf819e0eb, 0x8a5eaea7, 0xfc83a0a1, 0xa187bafe, 0x2991908b, 0xc3252d4a,
+    0x5cd50a76, 0xdcbec447, 0x0bb5ba94, 0x0868394e, 0x35e919d9, 0xb26ff58e, 0xe188387b, 0x61b73f20,
+    0x0cb6491a, 0xe15bbb01, 0x19118edb, 0xc723b84e, 0xed6ced40, 0x83d31c0c, 0x0ecd1dd3, 0x018c62b4,
+    0xb3f68022, 0xe4d10b62, 0xbf683274, 0xd0c6db28, 0x564bc2cd, 0xc6926b4e, 0xf1d016b7, 0x2d9b62ff,
+    0x978867f4, 0xa847b7e1, 0x9d6ee655, 0x505bc282, 0xc826c7ef, 0x201e893e, 0x019c4b10, 0xab9c4334,
+    0xc0b2f215, 0x012bd48b, 0x3e130d23, 0x6a5952fe, 0xa04b52cc, 0x802c4ad2, 0xb2a78475, 0x0f4ef5e4,
+    0x75dfe2f0, 0x4ca43613, 0xbfefc32a, 0x7b5dafa9, 0xa179e561, 0x00dcb664, 0xc2fe7771, 0xaa9fde0f,
+    0xbf4dc249, 0x9217a578, 0x4666832f, 0x1aaac044, 0xafbeff99, 0x6c28fb2c, 0xa393b6b8, 0x35e74213,
+    0xb018d17a, 0x287a69bd, 0x18b78a72, 0x9cf336c3, 0xa76f58b9, 0xc65fefd9, 0x4366d569, 0xb0ad0ca7,
+    0xce3b0386, 0x6d4bd073, 0xcf0ea439, 0x5525b64e, 0xfcf3e7ea, 0xd7edcd5b, 0xedaee645, 0x7786528b,
+    0x00af8b95, 0x439157ee, 0xd5b2ef11, 0xf88a4ac7, 0x7c02adcf, 0x99bd8a4c, 0xf822e13d, 0xda70a1a0,
+    0x81fc187b, 0x3d786e92, 0x70452736, 0x2a37cbfe, 0xc21b04a2, 0x0eef3b8c, 0x628c8981, 0x9a863f3c,
+    0x560c07a4, 0x90c81c5e, 0x4e68d786, 0x1a5bd80c, 0x8e4a193d, 0x5bc9d113, 0xd30f62bb, 0x1154abb0,
+    0x7c43d712, 0x75020468, 0x81f2adef, 0x5fd232b1, 0xda3d0f4a, 0xc92c048f, 0xf8a0b9a1, 0x3017a14a,
+    0xca0293b8, 0x7c941a4d, 0xc74942f4, 0x56b55056, 0x4779dcc1, 0xfb708076, 0xa1247bb0, 0xa46cb340,
+    0x8b49180e, 0xb9ae40db, 0x3d4a2b03, 0xd125eff4, 0x5fb056d3, 0x996a29ca, 0x9f242dc1, 0xf88ba0eb,
+    0x35a06ed3, 0xaf0b552c, 0x8ffec4ba, 0x5d22fbaa, 0x51bf1066, 0xa2c01cd0, 0xe268aff5, 0x927e8405,
+    0x8a40dfa8, 0xcecacaa7, 0xff9fd7f3, 0x3835d3ae, 0x3aca904c, 0x0005e717, 0x151e946b, 0xe8f7602b,
+    0xaad276d2, 0xfef3dcec, 0x11bf3d03, 0x02d23fa5, 0xec4973dd, 0xa0b3ee1e, 0x57f809b1, 0x29430d31,
+    0x4a5fb942, 0x0a90d436, 0x571f6fb7, 0xf64048c9, 0x85474bff, 0xb0c6485a, 0x17072f24, 0x0b9e24ab,
+    0x22d1c792, 0xf9b7a7ed, 0x607a99f1, 0x37f40860, 0x2abb9aac, 0x984ebfaf, 0xc3d317f1, 0xc3c017c3,
+    0x702dce86, 0x7282b462, 0x8469e698, 0x52b1bf32, 0x28b096b7, 0x569e5378, 0x6467d74e, 0x3aa1d1ea,
+    0x44aeb73b, 0x43964537, 0xa9a2d409, 0xcdae41ba, 0x74d84357, 0x19416ba2, 0xe2a432d0, 0x72004022,
+    0x7081e8a3, 0xe4f5f0bd, 0x999ca2cd, 0x39751612, 0xa92382b6, 0x841c0392, 0x4dbcb499, 0x53cf2c4a,
+    0xba48978b, 0xb7dd5cac, 0xa3bac08d, 0xefb64b96, 0xc296737e, 0x916dbc63, 0x738eb76d, 0x8b889b47,
+    0x4492baf1, 0x9c823ad9, 0x74d19aa0, 0x539c0937, 0x50c5c253, 0xa13f717d, 0x6645c129, 0xdd308aac,
+    0x77db6cd1, 0x85711405, 0x4f00c7ba, 0x293fc0dd, 0x8ed1d47e, 0xf10b2971, 0xbd7a925b, 0x5b50e539,
+    0xfac0d079, 0xc3443e9c, 0x1c4b3dd9, 0x5ad3f49b, 0xfa34974d, 0xaa55fa41, 0xe8b63d8e, 0x4675b20e,
+    0x10133727, 0x642c8eb7, 0xb58988df, 0x04b17af3, 0x012bb241, 0x9aa3e1e4, 0xe13ecb22, 0xc4bbc6ce,
+    0x9d7188f4, 0x996f461e, 0x4080007c, 0xd0e19b45, 0xbc9a33bb, 0xd14e3109, 0xd9c19207, 0x07587a9e,
+    0x28897082, 0x84d01a02, 0xa468f729, 0x2a24c8d2, 0xdc8160b6, 0xc78c2fe3, 0x9f5bd89f, 0xb81090a5,
+    0xec367218, 0xde112fe1, 0x94170ee6, 0x33034822, 0xd697b0e9, 0x2249efe1, 0xfe8ce829, 0x068f28c6,
+    0xa2b89dbd, 0xd78be59b, 0x2a614632, 0xfec8382f, 0xf2366720, 0x71b2d18c, 0xc6e6be31, 0x658a8a2c,
+    0xecad15d4, 0x1dd06dab, 0xc09a0e44, 0x126a3b65, 0xfefe1768, 0xca5908ff, 0x5c36587c, 0xf41c4fdd,
+    0x8dfb6b4f, 0x8289fcea, 0x12f88886, 0x37f4fc06, 0xc95c47e3, 0x1ee2f849, 0xd3673c04, 0x459b81c7,
+    0x3b00ffce, 0x85fa0254, 0xa1dc6db9, 0xbd27357c, 0x87173c97, 0x9ab04cde, 0x3a1f8ca5, 0xae9ab9cf,
+    0x9b3356c6, 0xbe11884b, 0x8bc5f50f, 0x7b9530a6, 0x6b49e9b8, 0x8e501030, 0x5169a10f, 0x3542c076,
+    0x95c9f1e1, 0x81951b55, 0x4d1e06f9, 0xdee7b08a, 0x17b65835, 0x73bf0888, 0x72ccf272, 0x7c09e566,
+    0xc02ca61c, 0x76557d7b, 0x63ce3a78, 0x73b1b796, 0xa7d80312, 0x4dc86276, 0xd303a601, 0x939c62d3,
+    0x2782f7a7, 0x1f45d4f6, 0x2781276b, 0x499da298, 0x0c5c28a6, 0xc2bdc4b1, 0x43c04cba, 0x58fb025c,
+    0x131abc0b, 0x9d020936, 0x2994b2d7, 0x23187e87, 0x1f4ddabe, 0x4e08bcbc, 0x79cec32e, 0xb178cbca,
+    0x1f5cb611, 0x73651912, 0x5b403d13, 0xe1dc9b0c, 0x1c9fd1d8, 0xaa9fb4d2, 0x1650f2b4, 0x5fb86f85,
+    0x3c253b1a, 0xd7654eb4, 0xa4d469c8, 0x5fb22300, 0x206540e0, 0x3525e20a, 0x6d772d02, 0xd5872789,
+    0xac16f803, 0xc25ee9be, 0x0f1721a0, 0x87c0c7be, 0xacafddd9, 0xf8dbbb0c, 0x94fc52f0, 0xdd71dded,
+    0x0884517c, 0x1d0bb8dd, 0x21008c50, 0x0593df16, 0x6f816eb5, 0xde4620d1, 0x509b9a54, 0x45ed26e0,
+    0x830ac421, 0xacd4f18f, 0x1753df54, 0x80618548, 0xf6998576, 0xd639a662, 0x32fe7253, 0xbb3056a0,
+    0xa2e3f9c7, 0xa3b97b78, 0xd3bc3997, 0x78001324, 0x2969410f, 0x6fb0db60, 0x9c652e6f, 0x8f74ae4e,
+    0x2938ca37, 0x86e9d9ff, 0x054c94e5, 0x751fcbd6, 0x9f1a6fba, 0xaa789aa2, 0xa7d3959b, 0x398fb3f1,
+    0x2b39d693, 0x7649d4b7, 0x945e4db0, 0xb40e768a, 0xa21e2829, 0xae5661c5, 0x0043da0e, 0x131851d3,
+    0x08d0eb5e, 0x572f0cf2, 0x5c007a4e, 0xf388e322, 0x1b4c991f, 0xcdbba74c, 0x69552999, 0xcff98364,
+    0x363c70d7, 0xe8df05c0, 0xe1bc4f89, 0x3ebf86be, 0xc9f01d09, 0x7a385b82, 0x76016876, 0x36d75ec6,
+    0x8c173ef1, 0xc1a12dfb, 0xb4d66ce2, 0xd03cd552, 0x988d148d, 0x6f33074a, 0xf88c85e1, 0xd7a35b5a,
+    0x3fe1f1bf, 0x8d7e4361, 0x7876ee78, 0x522deb9a, 0xd3d24526, 0xa0edbd4e, 0x7da0d57e, 0x3b3ada47,
+    0xe17f71fa, 0xcf8778a4, 0x5d367d44, 0xe01e6212, 0xfe11b90e, 0x2bbbcce9, 0x59272b6a, 0xb85ea3f6,
+    0x317ad807, 0x94e57298, 0xa5661a7c, 0xd88c3037, 0xe0d2f0c9, 0xc3006aad, 0x75e7d3a1, 0xc075a39c,
+    0x571d39cb, 0xb23347bd, 0x037ee017, 0xcd2b7dd2, 0x643306ea, 0x164d53db, 0xdaaf4f00, 0x2a130d1c,
+    0x398d7553, 0x32cc7839, 0x65e5d7b7, 0x7414b329, 0x9a7e7954, 0x0bdefea5, 0x553964fd, 0x6b234807,
+    0x6091a35c, 0xbb925c84, 0x7ea0974a, 0xff660caf, 0xb57f486b, 0xe1f6f2ac, 0xeab691fb, 0x1b8ae22a,
+    0xf2c97214, 0x16372d5f, 0xa9f98e51, 0xa8260ef0, 0xd6b9b7b3, 0x0b166244, 0xc65fa4bb, 0x69524970,
+    0x527c2a03, 0x96286501, 0x94ad2c3e, 0xa7b53663, 0xe0c274b4, 0xfcde53fa, 0xa04b0726, 0x63cac3f4,
+    0x4dfff7d4, 0x55af9d65, 0x91fb94fd, 0xe1c43a6d, 0x9fe55b20, 0xaaa76a52, 0xb1877f94, 0xcc0ffe74,
+    0x7d686b0a, 0x7af95cec, 0xd432dbf7, 0xfd4ccf3a, 0xa2f18417, 0x455a2a17, 0x8d0067b6, 0x64def166,
+    0xd6737d3d, 0xa9fcf761, 0x02c21920, 0x0e45c19e, 0x8b3b3a66, 0xbd427c90, 0x1c33ac06, 0x535891b8,
+    0x0d1082c1, 0xe8e71e6e, 0xd1ccb896, 0x9710064e, 0xb1b4d699, 0xa4491cb5, 0xd2ddf106, 0xb1d56514,
+    0x1a594ea8, 0x175a3116, 0x5b815061, 0x95af56e6, 0x4bdda115, 0xad219a95, 0x3f83a87f, 0xa903dcab,
+    0x56315bb8, 0x34e2fd25, 0x93cda89c, 0x01918782, 0xed3da0e8, 0x71de56b9, 0x18691a5b, 0xaeec55dc,
+    0x602a884f, 0xde8ddbdd, 0xbf413b65, 0x42740266, 0xa2e7bd84, 0x88014347, 0x7da624da, 0xcd15a7d4,
+    0x5262f625, 0xc46d4d56, 0x6627db8f, 0x4c291c4e, 0x22294da6, 0x88bf05a8, 0x385cf494, 0x86a9984c,
+    0xa88762ae, 0x458758ae, 0xa255c5f4, 0x733fd9b7, 0xdd5c801c, 0x2a54ad8b, 0xf42adc3d, 0x5a31f297,
+    0x09d8a0f6, 0xbb90dfcf, 0xc4924685, 0xa42589b4, 0xa8c634d8, 0xfbc12d98, 0xaadc40b9, 0x5914313f,
+    0x1d7047a9, 0xd62064b6, 0xe567de54, 0x8c60eadf, 0xb1816dd0, 0x0fe1fff2, 0xd34a4c34, 0x400ace96,
+    0x5c03e130, 0x1f387b2b, 0x5ed7bcaa, 0x5033511c, 0x19e22b6f, 0xd13a5c59, 0x0634fd56, 0xe4ac81ee,
+    0xb1c55d51, 0x9d208b67, 0x0c91da6a, 0xd3b4add9, 0x24266f6c, 0x3f550730, 0x9778e802, 0xe453679a,
+    0x7bf7bce7, 0x59cb41a1, 0x8bff31b6, 0x53f3f199, 0x1f527ed4, 0x30874c9e, 0x1bbc3912, 0xa3b1df59,
+    0xd0651111, 0x0ee3549e, 0xfd3b4bdd, 0x0122f564, 0xee20dbae, 0xf05330c6, 0x052402ac, 0xaed8e5b6,
+    0x97b78cb9, 0xc0295541, 0x84402ea7, 0xd0a6e1b2, 0x1d97cfc5, 0x299054f2, 0x8d281e24, 0xa5ecd3ec,
+    0x2915c62c, 0x63ca9d58, 0xe0a862ca, 0x75ff7386, 0x96e039f0, 0x354d6883, 0xdb52b695, 0xf38d6ea3,
+    0x2509a433, 0x34fa6448, 0xfad2f31a, 0x5f0afd10, 0xc7be71e4, 0xbdec6187, 0xc89ce6e3, 0x2ffe1bbd,
+    0x5386f850, 0xd00ddeb0, 0x1d6a667e, 0x343be30e, 0x5c432520, 0x34c4819b, 0x23560a8f, 0xad47e5e0,
+    0x01c0592f, 0xf0d79430, 0x09e40d60, 0xfcac2a0c, 0xca0245c6, 0xedf811d7, 0xae64621d, 0x9a9fde9c,
+    0xf5022900, 0x83c40eb0, 0xda0c97f0, 0xed7644c3, 0x330b3ca2, 0xe00e3594, 0x478cd4bf, 0xc500b781,
+    0x6e29b5ce, 0x03f57f79, 0xa52748ff, 0xa3dead27, 0xa9d9fd71, 0xff3982bf, 0xefdc8796, 0x28c9133d,
+    0x67659abe, 0x27be8c32, 0x48fc7fc2, 0x1609eb3f, 0x6a75a4bd, 0x2ee27272, 0x6edf5dd5, 0x0d6fcc96,
+    0xed5be264, 0x7acbb8df, 0x6b0e97d2, 0xf6bb3d1f, 0x3760dbc6, 0xabcba51c, 0xbe062417, 0xe638760c,
+    0xbc500ce3, 0x207296bb, 0xe4224766, 0xc2dbc589, 0xa56bc654, 0x3e9fea96, 0x3abc9fed, 0xa10b174d,
+    0x399eee1c, 0x7d8ae385, 0xa785fc20, 0x47ba55ad, 0x74eb684c, 0xfcfc481b, 0x3f9590aa, 0x1ad7e3ab,
+    0x00000000 }, /* 10**00000000000000000000007098034416949286040520740311406294280797278912962090432\
+                         43642772637343054798240159498233447962659731992932150006119314388217384402944 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6,
+    0xa748db56, 0x404173c2, 0xce833287, 0xef4eea8f, 0x9d1f125f, 0x55b1d685, 0xeb0a1af7, 0x2402b2e4,
+    0x00000000,
+    0x8f92e66a, 0x99820069, 0x494ef456, 0x59ffe27a, 0x817eb50f, 0x0c7c3c20, 0x494f1e0e, 0x0bb83ff3,
+    0xb6d48c15, 0xee724848, 0xfe7483ee, 0xbba9708d, 0xf730f522, 0x84dacb6e, 0x980060d9, 0x300586fa,
+    0xbb08c865, 0x475697ac, 0xe383f3cd, 0xc61cb9c5, 0x7ae9ba76, 0x0d607ef9, 0x89794023, 0xc8c0c953,
+    0xaca29cc8, 0xc4503397, 0x4c95368c, 0x514e4550, 0x6b143a25, 0xe6efda4d, 0xbf057974, 0xe0c2c189,
+    0x64d389d7, 0x28651d9f, 0x77bb8992, 0xfe522700, 0x8a5aa709, 0x40352ff2, 0xe3c22d82, 0x037bded3,
+    0x6fa77fe9, 0xdd6d2585, 0xd14fc964, 0x147dea8d, 0xeff36096, 0xba34b9ab, 0x4a7a997b, 0x664bce18,
+    0xb164deb9, 0x9dcdaad4, 0x64e1b69c, 0x1f78f092, 0x5088e0d7, 0x0051c92c, 0xe851b52d, 0x56479cff,
+    0x095ebfbb, 0x25eb93ab, 0xbde8c699, 0xb30185f0, 0x9ff2a39c, 0x3312437c, 0x440270e9, 0x574047e0,
+    0x7d7a6e57, 0x2b970e48, 0x959f035b, 0x10c43872, 0x5321c9ee, 0xe9d79148, 0x236251c5, 0xeb69f22f,
+    0xe54f8f0d, 0x4500ee5b, 0x9a07e66e, 0x979432e4, 0xdcb166ed, 0x6cee3b11, 0x90a931b1, 0x4d17bca5,
+    0x54bab2b4, 0xc96efb8f, 0x06cc3013, 0xc5e3f3dc, 0x1b8d763a, 0xc18b71c5, 0x6809caf6, 0x2c0ff065,
+    0x34749a17, 0x85986cd5, 0x92e86a63, 0xe7872379, 0x76ab02ad, 0x383de8db, 0xef4f9440, 0x6d770cd0,
+    0xed2ddd13, 0x5cda6cb0, 0x40d602fa, 0xe7c2c88a, 0x9ac65490, 0x1280dccf, 0xbf156f6b, 0x40b83e23,
+    0x2f6b415f, 0xc4f64a76, 0xecd76c2d, 0xbe18f739, 0x1fb37806, 0x78e2ab02, 0xdfc2a9ff, 0xcc0fe33f,
+    0xe7b0caa3, 0xde7dc90e, 0x4a296c1c, 0xcba20e1b, 0x9c5a14d8, 0x8967ad97, 0x1b599115, 0xcdf97ecd,
+    0x586b9b1d, 0xfc42d85e, 0xdd8a54eb, 0xfcfc4361, 0xc6e7fe7b, 0xe719fc43, 0xf313cfba, 0xa1a541a1,
+    0xbdc6b065, 0xd53786ef, 0x17fd6e08, 0x72074866, 0x15e5b954, 0xf72ae2cb, 0xc26c2ff4, 0xf689957d,
+    0xb21efb3f, 0xf4e4492a, 0xab8e3fb5, 0xb3627b4e, 0x2aeecc22, 0xccd293fd, 0x5435112c, 0x2fee29ab,
+    0xb0280352, 0x588daea2, 0x2c7bd388, 0x1a33dd5a, 0x2bf235e3, 0xd2f830bc, 0x0fccd26d, 0x358f4e9c,
+    0xb57da240, 0xd1579df5, 0x40ee527c, 0xbb4fbe6a, 0x4bad324e, 0xf51ccdf5, 0xadde625b, 0x67ebb2d4,
+    0x153c7820, 0x0dfa7262, 0x4f66b685, 0x71458446, 0x3609a5ea, 0x3970f2d6, 0xbabc2687, 0x8cd9a97d,
+    0xece4d7f3, 0x9840340d, 0xd76da0a5, 0x04cbf173, 0x02730a04, 0x93c144e0, 0x8d521db5, 0x7c84c808,
+    0x67d02a15, 0xeb9f5b27, 0x8182464c, 0xd5bdef3e, 0xd4f3ede6, 0x2fbb8b23, 0x6ee615a6, 0x40f57ca5,
+    0xec3b1ad9, 0x4973d7a3, 0x47d2dbec, 0x78988a30, 0x358eb905, 0xaf89d2f8, 0x032b66fb, 0x300667fc,
+    0xc73ad25a, 0xecd6c139, 0x8083fe32, 0x3ff5738a, 0x9823cb92, 0x9bdb2d62, 0xb56966d3, 0xd90f0258,
+    0x5039d00b, 0x2dade2da, 0x7c0ba3af, 0x19255191, 0xb95fc5ec, 0xb012ca76, 0x40482e34, 0x422e105e,
+    0xf5319bce, 0xb3e2dda7, 0x856d13b3, 0x1efa2ef9, 0x6c1be77c, 0x21eef8ae, 0x79354207, 0x2ec1e3db,
+    0x01d973fa, 0x88ed6104, 0x53166b08, 0xca8bdda5, 0x8e13aa1b, 0xed4bb3b6, 0xa89c62d8, 0xe7479a4d,
+    0x6b0f8ba7, 0xcae018ac, 0x013b2e5e, 0x21e5e5ae, 0xe610f0c7, 0x63f4b63c, 0xabe6309d, 0x5f1cb7c1,
+    0x181d0bb2, 0xa813bba0, 0xc23ed469, 0xb046b0b6, 0x2e5e73bc, 0x301fe53c, 0xffe9b8ba, 0x62a4cf43,
+    0xa5232e44, 0x54ad8a14, 0xde142e79, 0xb635ba38, 0x26b140fe, 0x176a11a5, 0x269d6e01, 0xb9f569e3,
+    0x032c5a83, 0x548c23a6, 0x35a131f5, 0xc5f22b88, 0x81d5e433, 0x19ed2323, 0xb24f76c1, 0x7bfa997a,
+    0x5b466ea0, 0xd211c07a, 0x2598ade9, 0x6418ae66, 0xb0d2e5fa, 0x829255a7, 0x70fe9cc9, 0xbf026cc5,
+    0xc48106a4, 0xb9e03373, 0x5d67e9d0, 0xe2e029b5, 0x72ac8c94, 0x294c121e, 0xc3b6fd8a, 0x306ff5d6,
+    0xcf14c30c, 0x18b3fe29, 0xa449f1bf, 0xebb1ebe3, 0x0aa0e848, 0xb844449f, 0xb5385ed8, 0x20a076db,
+    0x90cd8381, 0xae182c07, 0xc66c2f61, 0x5980102e, 0x7681f1bd, 0x260d2ffa, 0x3671ecea, 0xcda38fd1,
+    0x46bcf688, 0xd9390604, 0x5b184447, 0x475273b0, 0xcd6ccfd9, 0xcf4dd391, 0x9b8c8990, 0x2ad7d8b6,
+    0x22163d79, 0x1389bb26, 0xb8ee59bf, 0x5336c56d, 0x7f115570, 0xecd01a5f, 0x38b4cf7a, 0x42c94637,
+    0xee260a76, 0x0f6fd944, 0x7d812da8, 0x1d9f0c5b, 0xa28c264b, 0x49bc9506, 0xcfd94c65, 0x59791498,
+    0x27361f0b, 0xbbf1a07d, 0x3c2c73fa, 0x32d89028, 0x51a79c8e, 0x2926d833, 0x8b0c39cc, 0xb9f912a1,
+    0xd1e7be88, 0x782417da, 0x72b9f58e, 0x545122a1, 0xa49cf27a, 0xee510424, 0x20c8d1b1, 0x4214f84a,
+    0x716437e3, 0x1786ee3d, 0x897c14d9, 0x4498a3c1, 0x650d99d1, 0x99a8b10f, 0xf6451863, 0xb0272cad,
+    0xb962a6e2, 0xa190564c, 0x3bc6afe8, 0x1fb69da1, 0xa8980175, 0xb2a1ca7b, 0x60fbc85a, 0xe60ebb52,
+    0x7bd7cc46, 0xfe43dfef, 0xb78e7d10, 0x6c1a9692, 0x85202447, 0xf401bac5, 0xd2524fe0, 0xd231af12,
+    0x6db9990e, 0x784d5913, 0x4da0edfe, 0xd33ac62d, 0x19398dc2, 0x336ecbe1, 0xf47dff81, 0x1e8f7dc1,
+    0x133fc4d3, 0xde748bf6, 0x91249ae9, 0x077ae55a, 0xc52913be, 0x5458dcd3, 0x91658f01, 0x2f0ddb2c,
+    0xef2ee27e, 0xfef83ed7, 0xc8851c52, 0xdaf3b450, 0xd8be2bd3, 0xd46330d2, 0x703d2dff, 0xc0b0b3e4,
+    0xd094aeb6, 0x32917815, 0x107db9a8, 0x29295c39, 0x8310915f, 0xafc74540, 0x9cfe79e2, 0xf39e875a,
+    0x7537036c, 0x250c8f12, 0xcb7da053, 0x29c35e49, 0x9d252fc7, 0xfa32ed1d, 0x6470db28, 0x807f7ceb,
+    0xde0774b7, 0x3406eeba, 0x3e68865c, 0x384fed4e, 0x9b4fa1c1, 0xb6abe436, 0x563ec034, 0xfeb19d1d,
+    0x1c8d7d60, 0x3ab679fb, 0xa60a6344, 0x8b01d789, 0x4310f4e9, 0x93d1033c, 0x242d2457, 0xaa8d8dcf,
+    0xce466859, 0x900b8e13, 0xd4a2c766, 0x9bdbef9e, 0xe0661880, 0x2889e1a4, 0x39d7c1e5, 0x990bfc47,
+    0x52c042d3, 0xe8254225, 0x546b8507, 0x8ef5ae44, 0xb2b53f49, 0x6c209543, 0x41032439, 0x5f988793,
+    0xc8342211, 0x5141190f, 0xd6f43218, 0x726fc8f4, 0x6cfcf0e5, 0xc5016e86, 0xbebad39e, 0x97c0da81,
+    0xdb4ed7e3, 0xa53f78d3, 0x20fbd4bd, 0x54547236, 0x8eda59bb, 0xed0550f6, 0x3000d7bc, 0xac761489,
+    0x6b0081bf, 0xdde91ae6, 0x503f4e00, 0xd05f66b2, 0x0d5d2c70, 0x214d6b71, 0x68ceebd4, 0xe908e918,
+    0xa1e2dfac, 0x264a8393, 0xabf72a2f, 0xd9e59469, 0x3e155c7a, 0x0a38585e, 0xdffcba7f, 0xde0f37e6,
+    0x50f59ad6, 0x12e2c03d, 0xb6a60b42, 0xb304877a, 0x2b7c38ae, 0x0b9d4a4d, 0xa2a64571, 0xd2ad7aa5,
+    0xa31d73e6, 0xc3cd3537, 0x3918c97c, 0x01c2f7f0, 0x404dc10f, 0xb78ccf35, 0xd8e400cc, 0x0dca34e7,
+    0xcd4c81ca, 0x5bd8b0aa, 0x000b9fe3, 0x25bdb7ca, 0x85900aba, 0x73c4711a, 0xd06294c6, 0x96e98568,
+    0x9f52efee, 0x080a91c3, 0xda78c35c, 0x6f8209f5, 0xefba3bed, 0xb24bd9d0, 0xc848477e, 0xe839ac47,
+    0xc64d061d, 0x58ee2d34, 0xa65fb6a2, 0x244ec267, 0x9b00374c, 0x4285a9d9, 0x45304ee8, 0x9dbaccc0,
+    0x548e43a7, 0xbc676f40, 0x788aa0b6, 0x11ee87cd, 0x8b67a8b5, 0x65e09e08, 0x60def4b4, 0x2477b00b,
+    0xe3d1ea99, 0xb6f13f2a, 0x9dbbc30e, 0xfca4e8e8, 0x2e26f642, 0xf416f9fd, 0xf2a93305, 0x67222005,
+    0xcba56f6a, 0x63587da6, 0x75e0c656, 0x8296d58c, 0x82ecb6a5, 0xd3333efd, 0xffeb5e57, 0x268a0b5f,
+    0x108238d9, 0xb3b87a53, 0xaf31c311, 0x864f477f, 0xb1cf2d43, 0x1a00412a, 0x838ae1e7, 0xb889ae65,
+    0x2868c979, 0x8d3be79e, 0x9eb73a50, 0x1555634e, 0xe2b6b67a, 0x741cc1e7, 0x927bec6e, 0x2143ceaa,
+    0x331d1a57, 0xed6daccc, 0x206e4af1, 0xabb3dec8, 0xc3dd6ebe, 0x67a2be42, 0xc2becd8d, 0x721a3127,
+    0xd93b2002, 0xbf88c3f0, 0x9ce1febb, 0x531188bb, 0xbbc39b4d, 0xf0ac6b27, 0x3f67cfaa, 0x97678068,
+    0xad7e2e9a, 0xcb76f868, 0xa116c60e, 0x0ffe942d, 0xc3b43cf1, 0x399c6047, 0x85d6a20e, 0x72932b2a,
+    0x636a58ea, 0x668ea61f, 0xbdcbbd1c, 0xe6543d45, 0x84e966ef, 0x7c24ffb5, 0x013370c3, 0xbb97cd9a,
+    0x58db8178, 0xb51b78e9, 0xa7f849e9, 0xe26c875d, 0x49d58cd1, 0xeee2b8da, 0x7d7286b5, 0xb4f341e8,
+    0x2d40e90c, 0xddc4e637, 0xc6dc6bf2, 0x21f895f5, 0x56c12ce8, 0x1ed228c7, 0xe719f7d3, 0xb9b714be,
+    0x7a4301f0, 0x3eb2cc8c, 0x2319ccd8, 0x9e4b455d, 0x797baeeb, 0x10dcf997, 0x3fa6d0cb, 0x223b0185,
+    0x8bcf1365, 0xf6338341, 0xed4d35cf, 0xe6c7fe2b, 0x6edf815f, 0x813bdb36, 0x7cfa9a88, 0x8791e67c,
+    0x4ed58e44, 0x20bc27fa, 0xd1fb64db, 0xcaa1e7ff, 0x4d9d7a36, 0x8c337104, 0xcf626509, 0x342f9aad,
+    0x0b54c950, 0x75aef6fd, 0x49960e6a, 0xb75fc241, 0xf10f7c7d, 0x6a7f6c1a, 0x3419e0a2, 0x6fb7d2c8,
+    0xa58fa639, 0x75a80be6, 0x4b0f6a6c, 0x210ab614, 0x2c293ecf, 0x0a0d736b, 0x70c763ed, 0x4557a30e,
+    0xe70b73c6, 0xe67c7c1e, 0x7b8b53a1, 0x17b6d83a, 0xab68508c, 0x4fb93b0a, 0x6da219f4, 0xc99de415,
+    0x46066061, 0xb433f36a, 0x65bc92e8, 0xccca652a, 0x2af5895e, 0x73f74e71, 0x15678244, 0xe0a2648d,
+    0x26fa34d2, 0x78c14b36, 0x77e73fc3, 0xd240ff12, 0xa7ff3a9a, 0x9b69e613, 0xf1aee776, 0x0e499f36,
+    0x3d34bb22, 0x9c2132ef, 0xee2a3b62, 0xbdb3fef0, 0x805de711, 0x0e9d048c, 0xfa50dc56, 0x4f23cc8b,
+    0xd4e2a055, 0x0699f8f9, 0x63936cd5, 0x18a54811, 0x343c4d9e, 0x49165d05, 0x54f29e1c, 0x63377bc5,
+    0xed399f12, 0xa2c9dd6e, 0x0754abd7, 0x6a28b6e0, 0x94c7233e, 0x1536860f, 0xd6746393, 0x0109b0a3,
+    0xa43d676a, 0x2b04ad63, 0x8e4550fe, 0xc00336ba, 0x9dd1c834, 0xf34ccf66, 0x23f2df0c, 0x8ca5206d,
+    0xf6aba5e0, 0x8c42cb9a, 0xbcc697f5, 0xb4fc0755, 0x33d7f8c7, 0xe8891d01, 0x7b1b985d, 0xee46af4b,
+    0xc7842be8, 0x1164e05c, 0xe1bd0702, 0xfdebccd6, 0xc744a60e, 0x631d8328, 0x1452cc2b, 0x93cb1113,
+    0xeb47bc3a, 0x2e58438e, 0x893578f6, 0x53b1f892, 0xca75e441, 0x5c1c028a, 0x66f187b2, 0xb497cafc,
+    0x73c61b07, 0xf515ead4, 0x87ca757a, 0xfa51d2fe, 0x20320b05, 0x2470635e, 0x58e6b00d, 0x90b8c068,
+    0xdfb977bb, 0xf3eb1cb4, 0xeaf25df4, 0xc9504557, 0x573e232f, 0x0325ea95, 0xb228ed65, 0x60e1d789,
+    0xcf177573, 0xdad68059, 0x8581360e, 0xa29c2b97, 0x219af88c, 0x9ea507d7, 0xe088ff1c, 0x41a7599b,
+    0x4ce030cd, 0x7e720463, 0xb7bd357d, 0x5271ce5e, 0x887b811f, 0xd6bdb584, 0xed76d8f8, 0x1a544941,
+    0xe84149c4, 0x0bc61b82, 0x8ad52dee, 0x5c5f9201, 0x5bd035e5, 0x0f826b7d, 0x8fc27912, 0xa1d427b9,
+    0x104fb1ee, 0x49c1d251, 0xb2995a2d, 0x01f0440f, 0x22785db5, 0xf5780874, 0xa2f205cd, 0x78037f55,
+    0x80e5b64b, 0x54272e04, 0x5773d6dc, 0xb588dd8e, 0x3f10ede9, 0x61ccd09f, 0xe9412e07, 0x20efac21,
+    0xa91cc3dd, 0xeec48de3, 0x7c8e3101, 0xda327f3e, 0xbd03bdc8, 0x8972afef, 0x9f09caba, 0x9fb5387d,
+    0x65d30dc9, 0x9ed44cd3, 0x06fdd619, 0x4c5f4989, 0x751975b8, 0xea3e26b1, 0x222190d0, 0xf7b9f1ae,
+    0x2815ef56, 0xfc4e0071, 0x1ff1ffae, 0xaeb05d67, 0x4c9146a6, 0x00203526, 0x1ed58ce2, 0xa3c30d41,
+    0x469ee07d, 0x742dd7c4, 0x41a89517, 0xe9a16139, 0x74ca51f2, 0xbb899145, 0x3dc5e640, 0x0dac805d,
+    0x72f5c01a, 0x3d332cee, 0x50ec1474, 0xeba42a99, 0xc9bb5fcb, 0xccdd2381, 0x37662c1c, 0x8f29b2c7,
+    0x544de7c4, 0x740305b9, 0xb4f1f1e4, 0x244077c0, 0xfdbb0edc, 0x01e28828, 0x162b0ebe, 0x51be4be5,
+    0xb45858a7, 0x3bc95345, 0x139d7362, 0x1608ae54, 0xa021dfa5, 0x60217ccb, 0x15be18cb, 0xb7f041c7,
+    0xcc17ac6e, 0xe970ed04, 0x39d35336, 0xc1c98f76, 0x1841b860, 0x84f982dd, 0x46d0c6ba, 0xc2f94e81,
+    0x1808f46d, 0x82601100, 0x8fdfa6b7, 0x388f6661, 0x337b656f, 0x60e5ffcd, 0x6e8fb422, 0x097d126c,
+    0x3d3b4d2c, 0x482f55f5, 0xed9fed6c, 0xe7e14346, 0xc3888a1d, 0x093da615, 0x4984039a, 0x58475017,
+    0x4d4e8128, 0x9d6606b3, 0x0c7db7f9, 0x716be891, 0x32be8f59, 0x5b703766, 0x0741bd9a, 0x43e5207c,
+    0xe684e9c6, 0x058b803d, 0xc3877ae8, 0xd124427e, 0x1f91b009, 0x96e4fa22, 0x6b0c1baf, 0xd7307cfc,
+    0x976e38f0, 0x0c99d92f, 0x92f7b118, 0x99ef3250, 0x946d42f2, 0x4e57a824, 0xf2f87710, 0x478084e0,
+    0xed1a8e56, 0x8b07cf68, 0xe08e98a3, 0xc2e34fa5, 0xbfaa1100, 0x8ad67488, 0xfc096e18, 0xf16045d3,
+    0x03173457, 0xdb0dae66, 0x653b5d1a, 0x5eda4695, 0xab84ac4f, 0x5d24de66, 0xb1f41871, 0x2afa40f2,
+    0x3f5dcbdf, 0x1d8effa9, 0x8228bd7e, 0x2f2ab75e, 0xfc396258, 0x523506e7, 0x5a564033, 0x78d0980e,
+    0xe524292f, 0x17c8c82e, 0xc1c04c7d, 0x0366e25c, 0x870ac1d0, 0x8dbdb333, 0x29c1f89c, 0x6c706cd4,
+    0x2b628e85, 0x960e777c, 0x053eb60c, 0x1c3bb9a3, 0x20e6f209, 0x1fc7116b, 0xfa544387, 0x5e070e0a,
+    0x6709f450, 0x74b0cf11, 0x91dc9982, 0x51fb4e44, 0x77fb53f7, 0x4c6d513a, 0xa0c000a5, 0x652c2aee,
+    0xc774d21f, 0x94d4243b, 0x3370a8aa, 0xe799a98f, 0x7874cbf1, 0x04e6dc05, 0x4e0d2d21, 0x0d34ddcc,
+    0x591b1ecf, 0x851c9e08, 0x613262cc, 0x2ded9127, 0x84ddee17, 0xd0f21277, 0xdd58e73b, 0xd8510998,
+    0x597e3874, 0xecfa955b, 0xa62f09fa, 0xff3d239f, 0x4128ac33, 0x64a7c37f, 0x0221ba90, 0x995b9ea8,
+    0x209ec59f, 0xfff81578, 0x424d1ed1, 0x706b4c65, 0x2c72d98d, 0x8acddb38, 0xc7c46e75, 0x6b54aacc,
+    0xf49ea80d, 0xc4011bbe, 0x5834d5e2, 0x22da9fad, 0x096cd7fd, 0x7b8ed333, 0x9592d789, 0x6725c9b3,
+    0x314d9388, 0xcda52b8c, 0xaea3093c, 0x1981ecef, 0x5f3d4628, 0x3b385512, 0xef66db5d, 0x92eacd8d,
+    0x5b453401, 0xd17e95d3, 0x2f42f547, 0xc76fc1fc, 0xd88d6491, 0xa12474de, 0x05ed2f6f, 0x92cf771a,
+    0x4d177f02, 0x1a701d80, 0x1c96d90b, 0x2b7b2db4, 0x5362cbdd, 0xb12ae8f0, 0x5aa5aeff, 0x465242ad,
+    0x07ecb322, 0xae61c943, 0x74e54a10, 0x26e66b77, 0xf398a74f, 0xd47faf03, 0xf6796c34, 0xace1da2f,
+    0x6a2ca064, 0x755bd773, 0x3f781136, 0x91757420, 0xddb3650b, 0x1b687996, 0x3e2cccd6, 0xe1bb79ee,
+    0x9c378a4d, 0x3eaac90b, 0xdddbb5fa, 0xfec93c86, 0x9b3a80ed, 0x4ff18708, 0x9883d803, 0xbb02dc08,
+    0xc02839c0, 0x23a179c1, 0x53fbff43, 0x6b9a2d3c, 0x222d78be, 0x09c13064, 0x7fd45b1f, 0xea35dfe3,
+    0x00000000 }, /* 10**00000000000000000000003549017208474643020260370155703147140398639456481045216\
+                         21821386318671527399120079749116723981329865996466075003059657194108692201472 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb,
+    0x53a46dab, 0x2020b9e1, 0x67419943, 0xf7a77547, 0xce8f892f, 0xaad8eb42, 0xf5850d7b, 0x92015971,
+    0x00000000,
+    0xbfb7367b, 0x15680905, 0xfa197139, 0x0811e254, 0xf2e183a2, 0x52e8fe4b, 0xf1ee7f5d, 0x29d13463,
+    0xa45601ec, 0x65c30649, 0xe8c8819e, 0x43da8f01, 0xecc8bdbe, 0x0c1ea347, 0x153c547b, 0xf81ccdbd,
+    0x0f1ec3e4, 0xbab23cee, 0xd2e4665e, 0x300ab974, 0xd3bf26ef, 0xee256f84, 0x7d71f93f, 0x3e160ecf,
+    0x4f5c60ba, 0x11b52ac6, 0x8f5dadc1, 0x253fb120, 0x08afd3f5, 0x52ccb259, 0x11a85b9c, 0xf327bae3,
+    0xfc922c0d, 0x5738ae1a, 0xdcede36c, 0x562ae050, 0x96d23b08, 0x8077699e, 0xf9ed81cd, 0x98d1afe5,
+    0xe7d4186e, 0xfcfd0c99, 0x4e98ef51, 0xbf9ddb3f, 0x534d3b7b, 0x83e076c6, 0xd3884891, 0x4d70fc99,
+    0x2625aa59, 0x5f8e9c27, 0x49337cab, 0xa00484f2, 0xcea761fc, 0xd3ef788e, 0x3b3462c4, 0xee75e6f8,
+    0xad12455f, 0xa8df5118, 0x687b8b07, 0x4ecc0d32, 0x3d439416, 0x5cdd4853, 0xe1876026, 0x1fbecadd,
+    0x62828499, 0x74544688, 0xa5e0908c, 0xbacbab28, 0x5569d330, 0xa26ef22d, 0xf53e1784, 0xd8c3095c,
+    0x23b0a0ee, 0xc9515725, 0x3990f272, 0x8f370ac1, 0x041953b4, 0x6d830ae1, 0xaa9741fa, 0xaa277429,
+    0xe9e79a9b, 0x9eb236fe, 0x5c30df27, 0x2210b7fa, 0xeb7f911b, 0x58bd37bc, 0xe00c55ca, 0x4290a8fd,
+    0xe001046e, 0xb4a33a25, 0x8b29c4fb, 0xe057a963, 0x433a5ebc, 0x292f5df3, 0xc0bf0c40, 0x0f22b0a4,
+    0xd6f7bce7, 0x62f4b03c, 0x607ae77b, 0x46ba57fb, 0x8a859b9a, 0x13f84efe, 0x9537bdea, 0x03476c80,
+    0xed5775b8, 0x5e12aa4f, 0x7b81e21f, 0x43e11f4a, 0x41f3d810, 0x4c778b4e, 0x787d0d5a, 0x9f824781,
+    0x8637bf7b, 0xc96a3451, 0x5c2d5709, 0x41388f4c, 0x2c4f23c8, 0x4b9ed479, 0xcda87418, 0x26693a23,
+    0xa49e3c0a, 0x8ea0819c, 0xd00fa73a, 0x489e97a4, 0x08e37e7b, 0x22a7c19b, 0x20d93c63, 0xeedb620e,
+    0x3e8de8a1, 0x8af505e7, 0x688d0ae6, 0xcd135285, 0x12ad610e, 0x371ea8b5, 0xd1c9a999, 0x39a8b007,
+    0x03fa33e2, 0x325443f9, 0x41277c06, 0x11bd3b43, 0x34f7e384, 0xe2c247e6, 0x114c5edd, 0x86d88a9c,
+    0x31c1564a, 0x31bfc457, 0xc3f83620, 0x3cb14c6f, 0xb0458cad, 0xce0fdc5a, 0x17940be2, 0x8431821d,
+    0xe196897f, 0x4bed5b6a, 0x9e9482a9, 0xe727f904, 0xd5477f1c, 0xeb428769, 0xfba3f364, 0x12ea0a9b,
+    0x90797879, 0x786c4a3c, 0x3e61f68f, 0xb156b840, 0xfdad0a4a, 0x42953b66, 0x50fcd41f, 0x56e9ccb9,
+    0x1ec9da3d, 0x9ee8791f, 0xfb82a5bd, 0x5e52697d, 0x9c0ccff0, 0xb8da2691, 0xe4fed249, 0x272954bc,
+    0x65cbbe26, 0x8131a6d2, 0x14ec7baf, 0xbbd7a81a, 0xf40d2e60, 0x04f78c7a, 0x1be213de, 0xcd9d81fb,
+    0x923439dd, 0x650ea5b9, 0xc6e8db11, 0x1c6fd877, 0x5897663f, 0xf154c553, 0xd82d98c5, 0x8e239329,
+    0x4f8d1e6e, 0x5dbfac83, 0x7ee543de, 0xff8f31f1, 0x4fef0875, 0x3636b48c, 0x1618f166, 0x073cee45,
+    0xc024320d, 0xe570784c, 0x0a3250f0, 0xe06745d8, 0x2030c95f, 0x496717b4, 0xb720914b, 0x2bda4589,
+    0xf1502651, 0x6c5115c8, 0xf530371c, 0xfe1353aa, 0x1161637d, 0x60bad176, 0x869275be, 0xbb4a186e,
+    0x03d57313, 0x54d96eb6, 0x3b6c3685, 0x486f3dfd, 0x76410e43, 0x15c0811a, 0x4d4187cf, 0xce6c8041,
+    0x9426e4da, 0xd032b38f, 0x184c2e85, 0xa7c14b89, 0x9f2e80c0, 0x7969015f, 0x8f0122c4, 0x04c27e67,
+    0x9eec4bf5, 0x9dad37ad, 0xc0b04528, 0x33b8eb23, 0xf14dfc6c, 0x6891d61d, 0x88c3ccb2, 0x27231c21,
+    0x2415a297, 0xe15735ad, 0x3dda1c62, 0xc93c85a2, 0xd7a6cdcd, 0xe950a7bd, 0xd6644416, 0x46b9bd51,
+    0x96e098fb, 0x8d77abfe, 0x0a3b1e60, 0x84a435e1, 0xf3856802, 0x2b8fa593, 0xf8b038c2, 0x96546bde,
+    0x7f59ee1b, 0xa342b408, 0x24b9042c, 0xf27226b6, 0xf019e068, 0x47c14ad9, 0x457a65d2, 0xe8e0f4ce,
+    0xada5d241, 0x24162e3c, 0x3c45afea, 0x87058c96, 0x2a37ba6f, 0x3dfa9c7d, 0x5b7cb014, 0xe2a061bc,
+    0xa85d34ba, 0xf945c858, 0xce897315, 0x423c37d3, 0x18750ddc, 0x5640b834, 0xef1268da, 0x2bded7d0,
+    0xd14a858c, 0x5955e916, 0x14a6deac, 0x6ec54c76, 0x9a066e12, 0x25e7be3d, 0x52baf3e8, 0xe42f527c,
+    0x27251870, 0x3601f3ba, 0x9aac6e99, 0xb38f04fb, 0x9d858ecf, 0xd651fd27, 0x82406168, 0x988a680e,
+    0x2b5d35cf, 0x48d32331, 0x59a395ba, 0x0554a543, 0xca95f9ce, 0x77d19890, 0xc33c94b1, 0xc9680864,
+    0xef039c06, 0xe7534e73, 0x41eb96a9, 0x2b3f7a8f, 0x3c1c67ac, 0xcaf93d5d, 0x1e13c071, 0x96da1d8f,
+    0x0c46e306, 0xf95eca8e, 0x5efad959, 0x0ffd94dc, 0x0db2d737, 0xee120c1f, 0x16ad4cbc, 0xa308bfe1,
+    0x9a1b9fc0, 0x7418b34f, 0x3c240a64, 0x16ec101d, 0xda8674b0, 0xe2e59c08, 0x0afb47e6, 0x315d971f,
+    0xcbf67496, 0x67508009, 0x95a762de, 0x6643f781, 0x061666a9, 0xc66515cb, 0x2912dd65, 0x100ce6d5,
+    0x86e57c49, 0xe073ecf9, 0xb6c36237, 0xcbf08a63, 0x76a9af7a, 0x4e7836f6, 0x0ca75c38, 0xa6d1ec6c,
+    0xe244dfd9, 0x919e7c22, 0x93da9b47, 0x614668be, 0x474a4f2c, 0x780a479f, 0xc21e2004, 0xaa2c73b5,
+    0x908ffa6f, 0xe782fdb6, 0x2d9ae2f1, 0x33a40f8a, 0xcee57f2a, 0x7a90964e, 0x3cb95d32, 0x36d3f1c7,
+    0x33ddaec7, 0x2d21b780, 0x1e215034, 0xc9fcd67c, 0x3ff91af1, 0xbeda3be6, 0xdcaca13f, 0x47637b55,
+    0x2191a527, 0x82de1183, 0x0d081291, 0xe5a3a425, 0xbc524bf8, 0xcc1bc588, 0xcdf4a03e, 0x543aa459,
+    0xb97e8635, 0x943b254d, 0xb81cd45f, 0xce819f83, 0x62d6f743, 0x49a206ba, 0x48dc171a, 0xa9e579c7,
+    0x91a6db4b, 0x76094bb3, 0xbda817ec, 0xeabb1190, 0xc9141ed1, 0x675bf575, 0x790ecc1e, 0xf8925115,
+    0x167ff35d, 0x293213c0, 0xd1d788bc, 0x336de91a, 0x5545ab29, 0x18d0772d, 0x4d0d2f19, 0x9b9bfc0a,
+    0xf4d99a13, 0x00ba7e62, 0xf2cdc8cf, 0x60d0ccef, 0xe330072a, 0x69ecb921, 0xaeae0846, 0x182e6f8b,
+    0x9d92bb71, 0xdf264bc6, 0x3d918bd9, 0x90a6825a, 0x4638f10c, 0x6c4caf88, 0xc4851305, 0x78332fcb,
+    0xfb5bd4fb, 0xdab1d4a0, 0x678f8225, 0x05898da4, 0xa318a0ed, 0x66b99cdc, 0x99f26f73, 0x29f05866,
+    0x29b64d52, 0x51b4a710, 0x399443c6, 0x339f78c1, 0x5b57e840, 0x82c2e322, 0xcd016097, 0xbbfeac68,
+    0x7d79b2c7, 0x91638aa8, 0x25107395, 0xe696bf9f, 0x0254c220, 0x8ea73bf2, 0x7f45955c, 0xa868d0e5,
+    0x296bb3c9, 0x6f0119f4, 0x329cd383, 0x4438d134, 0xf06a5cbf, 0x65b43649, 0xb6fb5697, 0x3c0cdb13,
+    0x30cb6bcd, 0x86691ef7, 0x376ce36a, 0x5f556697, 0x5b618361, 0x15d3d91d, 0x5f6656f1, 0xa45f0486,
+    0xf99de01b, 0x55e92977, 0x7d8ad036, 0xfd35300f, 0xab1ff929, 0x8e063043, 0xdd4c1e95, 0x4ac185f3,
+    0xb1674ba6, 0x76cc9fa3, 0x90b9fc89, 0xca4a3cb3, 0x85c88b77, 0x3171cc9f, 0x8cd501fa, 0xd799e4f5,
+    0xceb61696, 0x44f847a4, 0x3cce6d75, 0x80a67780, 0xc8cbefcf, 0xb1db5f61, 0xa49175e8, 0xc56a7177,
+    0xc9977c09, 0x7a848108, 0x29de7586, 0xcd1cf287, 0xfa9bf92f, 0x8e87b6d4, 0xe45468c5, 0x510376e9,
+    0x7b0ab39d, 0xfb2925f7, 0x7f2f7a58, 0x39b7b4d4, 0x10a927f8, 0xac36e734, 0x84760df3, 0x2bb0259b,
+    0x97c5a84e, 0x6abd3d0d, 0xae1b64ff, 0xfe3ea558, 0xbca894cb, 0x685ef10a, 0x9b967985, 0xdf3cfe44,
+    0x56a8eec4, 0xdc1f633b, 0xa4c7ae26, 0xe965d392, 0x37d64fca, 0x77717dd1, 0x0c3896e1, 0x5ddff02b,
+    0xeb502200, 0xd8382040, 0x5df8360b, 0x07d9c070, 0x2963ed27, 0x17a4595d, 0x735bcdc8, 0x6c6b74db,
+    0x395a5c23, 0xa1e9af4c, 0x16c0d3fc, 0xb47f38ff, 0x5d1bcee1, 0x0ad7d0b2, 0x98208d91, 0x82f2091e,
+    0x4d2aceb4, 0xb501d7cb, 0x76a14a4a, 0xfa7003a3, 0xb751c6bb, 0x83dbed51, 0x3da2d0f3, 0x06194f94,
+    0x9b2c3617, 0x604825ce, 0xd7f2a268, 0xf7575dca, 0x95ce70fd, 0x7ca651c0, 0xbc2660bd, 0x37ec532c,
+    0x61826dbd, 0xccf80592, 0xa547cb22, 0x2d61ff50, 0x3b73475b, 0xa9cc4c49, 0x2e9fe2bb, 0x595ac1be,
+    0x80dd3852, 0x110ca1b4, 0x7f784b9a, 0x9724bc39, 0x3df28049, 0x3fe6077c, 0x3110fd23, 0x849e8b75,
+    0x815db859, 0xf63e9e99, 0xf3c12976, 0xcfc28af4, 0x7412623d, 0xe84c690b, 0x12be8a03, 0xfbda60ac,
+    0xe41d7333, 0x78e5bd11, 0xe19eb3e5, 0x52315d7e, 0x9a427907, 0xdd3c34a2, 0x54510cc4, 0xb71a97d2,
+    0x92f9d8fe, 0x440ad769, 0xed8be9f9, 0x3eece564, 0x81a3ee1e, 0x68314bed, 0x58261db8, 0x3864fea4,
+    0xdcf6f8a8, 0x06c614bb, 0x4b6b1666, 0xf482e0c6, 0xb1094616, 0x3fa7a128, 0xfc54404c, 0x2c04063f,
+    0x41d3168c, 0xb0ec2f9f, 0x8349ff39, 0x6e358554, 0x13a03bac, 0x5c432372, 0x8bb09b04, 0x31d46e14,
+    0xa1afcfdf, 0x3f35a16b, 0x6f264773, 0x10af41fc, 0xbd19a2dc, 0x4ad2c337, 0xfca42435, 0x45caa4ed,
+    0x7ed41956, 0xf51397b1, 0x68763611, 0x72371783, 0xd130f00b, 0x8541d1b6, 0xa24583de, 0x6a22c72d,
+    0x551ada74, 0xb9a8939e, 0xb6f7e297, 0xaaa52ab2, 0x00263afe, 0x9a38987d, 0x35545435, 0xdaec4c1b,
+    0xaa3fab36, 0x015bb25c, 0xe6dd55ab, 0x1f7a1f80, 0xfe333ea2, 0x1fe04d1b, 0x55114450, 0x3a47946b,
+    0x0a1d50db, 0x3644952d, 0xd3e43df3, 0x35c93a66, 0xa4f2d9e4, 0x719ed0c4, 0xb6c3a6bc, 0x64a64989,
+    0x4a845be3, 0x95adfeb3, 0xa59d9980, 0x36c9c681, 0xbdaab1b6, 0x56c51ff1, 0xf84d5ee3, 0x4f95d4cb,
+    0x730c90c0, 0xe4b49459, 0x756a02fb, 0xa6cde364, 0xa00b27b4, 0xc9c16a49, 0x33bbfa27, 0x3f53dc99,
+    0x7c7ff684, 0x11ba6da3, 0x1328d744, 0xbe4dd0e5, 0xe74ba672, 0xc08fa3d3, 0xae65e509, 0x54acdb5e,
+    0x3f7b5c9b, 0xeb555ca6, 0x45534e17, 0xf75c2fd9, 0x442ff619, 0x44a73e0c, 0xb7ec2d29, 0x370c1f69,
+    0x7e917cd8, 0x5df6a2a4, 0xe104682c, 0x16edd77a, 0x2598cb5e, 0xe130cff5, 0xf049953b, 0x02fd2538,
+    0xdaa163a3, 0x36eee2aa, 0x5b39ce99, 0xcaa266a1, 0x06bf35f5, 0x22cb27c0, 0xfecfbbb7, 0x420a84f5,
+    0x57e639c7, 0x2f0a14a7, 0x3f6270b4, 0x7b80a07c, 0x51302f3b, 0xb0c3d93e, 0x0043142e, 0xdf509eca,
+    0x261f01cd, 0xf9d7587e, 0xc0cb16ba, 0x68cb5066, 0x4b30b4ac, 0x3266621e, 0xcf0d83ce, 0xe38c69c8,
+    0xe8a6bb05, 0xa96d4fc9, 0xb2e316ee, 0x21f34558, 0x00fcaeca, 0x5b8de739, 0x8d29108c, 0xa0c03819,
+    0xf0473671, 0xc1db224b, 0x2f5f5718, 0xa1ad723c, 0x11c26f90, 0x36910dd0, 0xf36c1518, 0x61803479,
+    0xce7dbd46, 0x6109c4fd, 0x81b92ec7, 0x31516e38, 0x99db1f23, 0xa4cf0207, 0x33391c26, 0xeed2b7f2,
+    0x79b7231d, 0x7e4a4a63, 0x427f9a19, 0xce91e5ba, 0x10c908b0, 0xa1ef8c66, 0x5cb15792, 0xfe993260,
+    0xa94ac625, 0xa4080cf6, 0x1bf8e7af, 0xbbe0f098, 0xf1b29892, 0x23171490, 0x333b02e6, 0x829e0a4f,
+    0xf9331062, 0xfcc023bb, 0x65f4db2d, 0x3ec925f9, 0x6dc1c915, 0xb899f25b, 0x0decb5fa, 0x29191a7e,
+    0xd619a27c, 0x47d8427f, 0x802b9ffc, 0xb986aedd, 0xb4bc315e, 0x10854497, 0x3971a4ae, 0x2136d636,
+    0xfe2b4bea, 0x6da36752, 0xbb43fa7a, 0x06d81104, 0x890fbaff, 0x8ae4d79e, 0xf463401c, 0x43a8c98d,
+    0xe9d5bf87, 0xfc904507, 0x98e03f0f, 0x40ac7cb1, 0xb751d7f9, 0x02301304, 0x81bc7c40, 0x7e711878,
+    0x6570dce1, 0x53c22c54, 0x88685816, 0x9185e127, 0x0dad77bd, 0x114297e1, 0x41c19538, 0xc157b587,
+    0x0d3a1b31, 0x07e2dfa8, 0xadf77b58, 0x93b82cbc, 0xcbbb5d0b, 0x60b14f86, 0x4a7ca920, 0xe187a76e,
+    0x5ea96b77, 0x36e8a5cd, 0xbcafa043, 0x3af5c368, 0x3fcceb4a, 0x2d761d7b, 0xc8d5e7f7, 0x66396db9,
+    0x66c4c567, 0x872ca9ec, 0xe8dcec9e, 0x1aab59fe, 0xff5537b6, 0xca50468c, 0xbf713791, 0xc25324ed,
+    0x83afd0b5, 0xc96c2ea0, 0xc849dd3c, 0x3708a714, 0x804a5d02, 0x55683434, 0x903a1a08, 0xbf67f306,
+    0x2dbb3442, 0xd4dfa393, 0x334adb5f, 0x31cbc28b, 0x32754f52, 0x69b47d43, 0x089e6617, 0xa9a53a9f,
+    0xea103484, 0xa0237b62, 0x1ea9b15e, 0xb5bc91ca, 0xe23273d6, 0xa3aa2ab7, 0xf52977cb, 0x06eedb49,
+    0xcf82d7a1, 0x7fc058af, 0x48ee7424, 0xbdb59ae8, 0x13ac36f6, 0x77408069, 0x96267139, 0xc91d9e27,
+    0x0b4c80a9, 0x93805771, 0xfdad2b86, 0xaf0ad083, 0x46ee70ea, 0x9d7d8156, 0xc958fbc7, 0x389e3200,
+    0x938718bd, 0x2e641db9, 0x7ae24e7d, 0xc21093d8, 0x2dc29ceb, 0x70b687fb, 0x97d2ad81, 0xd90ce346,
+    0x52d72417, 0x9e2d1672, 0x951d71ea, 0x9cb6b9a0, 0xf77ef78a, 0x3daf9657, 0x381ad79b, 0x07cb7061,
+    0x587e05ca, 0xc0b20dd6, 0x7e6dae07, 0x96727407, 0x2cfe7405, 0xf89b2de4, 0x88625c27, 0x88f93179,
+    0x6bb799b1, 0x3f21c59d, 0xd2e84833, 0x984b30b5, 0x57b45928, 0xfdcb869e, 0xf8af7759, 0x5281ece2,
+    0x8b869669, 0x6138c60d, 0x8ba1a315, 0x173fde68, 0x54c2ef27, 0x4b655a24, 0xc8ca5273, 0x6a620ec6,
+    0x587b31e8, 0x6c33140e, 0xcc8227fd, 0x64a0463f, 0xfba35095, 0x8ef96356, 0x40751fc7, 0x5643e644,
+    0xab8db63a, 0x68a03b15, 0x9b40c498, 0xfccfa5a8, 0x8aa1b043, 0x651917d8, 0xd48085ed, 0xccb006a4,
+    0x7cbb3569, 0x2192ba2b, 0x96a818c1, 0x414f3db8, 0x3c3ad2ac, 0x7f796c3f, 0x843fd4fa, 0x11f79135,
+    0x89fe1979, 0x5dc5d364, 0xa7955a79, 0x0f66e1a6, 0xfcad2337, 0x9ccc116f, 0x18c877a1, 0xd2e0326f,
+    0x77d46054, 0x5c51c201, 0x069f79fd, 0x516399a5, 0x0e14c656, 0x05019b1f, 0xc80a7395, 0x4b470a41,
+    0x4012e61f, 0xc031800b, 0x4a1ca9c8, 0x254cfc2d, 0xfbf3764b, 0xea56ce85, 0xce41a960, 0x95733e20,
+    0x411f8b6a, 0x7d5ce996, 0x0f2d66dd, 0xa0027017, 0x7ac0d768, 0xdf1eb523, 0x72c7054c, 0x419977ad,
+    0x8ff7e6f0, 0x880f1508, 0xfbc467d3, 0xce8f7123, 0xf0a7edc6, 0x462f9769, 0x462d279b, 0x54797570,
+    0x88eddb2d, 0x30aa7403, 0x1e72e425, 0xf8d5b7ab, 0x19205492, 0x590f8433, 0x2b07608d, 0xf3a2686c,
+    0xdf7aedd3, 0x3fe57032, 0xe29178a8, 0x336e3a35, 0xc29eb19d, 0x3f931dac, 0x6c54d92c, 0x84c0b6be,
+    0xd6a96683, 0xc8ab83f7, 0xe820b26a, 0x7cd524ad, 0x052460ac, 0xe251ee50, 0x8a65668e, 0xe0a0f1a4,
+    0x3b85c690, 0x845da6a8, 0x6f08eaf7, 0xb45dbbfc, 0x56d8fc80, 0x606c7284, 0xcb7c12fc, 0xc743a49d,
+    0x0d396314, 0x099812b8, 0xad468f6d, 0xb935677d, 0xe9a103eb, 0x708056b7, 0x497f737a, 0x715e2694,
+    0xb33c3e34, 0xf1c5b918, 0x05acb127, 0xde487860, 0xf63449a4, 0x241fd59d, 0xcaa9aba3, 0xe3477398,
+    0x4102cdf5, 0xda7ed447, 0x32e6462a, 0xb77cd9c2, 0x133de7be, 0x1a818850, 0x924accdf, 0x9bc1de15,
+    0x00000000 }, /* 10**00000000000000000000001774508604237321510130185077851573570199319728240522608\
+                         10910693159335763699560039874558361990664932998233037501529828597054346100736 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675,
+    0xa9d236d5, 0x90105cf0, 0xb3a0cca1, 0xfbd3baa3, 0xe747c497, 0xd56c75a1, 0x7ac286bd, 0xc900acb8,
+    0x00000000,
+    0x9ca6b6b4, 0x956d1993, 0xdf663b37, 0x347929a5, 0x44821d81, 0xeee36602, 0xc7d5bb44, 0x30d310c4,
+    0xd2bd3fea, 0x2fb0110c, 0x342949b8, 0xa6b28cf9, 0xa5ca8373, 0xe1c6e4b0, 0x1c6d7b15, 0xdca77701,
+    0x5e9f3c40, 0x18165a83, 0xb9817775, 0x4eef604c, 0x037b286e, 0xf22796d0, 0x8cd84e88, 0x1963a616,
+    0xee562b38, 0xfe08fe3d, 0x4d94aa34, 0xbda197c3, 0x55bed779, 0xcef3cbf4, 0xb9e18b45, 0x3148ba51,
+    0xf06b470f, 0x49cb8cca, 0x5cbcb9bd, 0xc21a27ff, 0x2f9d4150, 0xc07810b2, 0x929da4f8, 0x5bcb6215,
+    0x6d96990f, 0xc0a9244f, 0x80a87691, 0xe8849dc8, 0x38e73764, 0x12a64269, 0x5500381a, 0x617034ac,
+    0x0f3ef49c, 0x64636780, 0x4392ed8e, 0xd1028430, 0x7617ae5a, 0xe6da6b07, 0x413be511, 0xddfa05fc,
+    0x345cb462, 0x95c74fb9, 0xdc5a5066, 0x209b44e2, 0x0a417d3d, 0xe5075ccb, 0x7e780973, 0x92e5c477,
+    0x272347be, 0xd7364845, 0x5d3192ac, 0x63600858, 0x7264b071, 0x8186a582, 0x717a07e4, 0x13e331c4,
+    0x488923b0, 0xae8e17b1, 0xc66ce9b5, 0x28a39bdb, 0xd4ebd1e7, 0x75ae629f, 0x3eacc7af, 0x3d77e749,
+    0x80b679b3, 0xb2027f6b, 0x11c1bca6, 0x207244a1, 0xc0c75126, 0x604584ce, 0xaa352964, 0x764fa43b,
+    0x6e9e98a6, 0x37d06ea7, 0xbd9c2eb5, 0x1d78b3e9, 0x09076def, 0x8d3edf1d, 0x41daede7, 0xb58251f8,
+    0x56cb11bf, 0x12555b72, 0x93c70575, 0x9a7a9f93, 0xa5638c97, 0x2723bd9a, 0xea23b8df, 0x7bb353eb,
+    0x819ed759, 0x50008d1f, 0xbe2f5b8f, 0x29b0e343, 0xf3334fa0, 0x7885371e, 0xfdb7a017, 0x5bdf60fb,
+    0x51e5b789, 0x2231d8e5, 0x208b6faf, 0xaecc1e1d, 0x14af51d3, 0xe64c90e2, 0xf14bc9d4, 0x6106e2ec,
+    0x31c9cafb, 0xe6e8e9a0, 0xa81615eb, 0xf3437c7a, 0xdee93b29, 0x63d5773c, 0x059a417d, 0x455701d7,
+    0x929c9609, 0x0236474f, 0x1398cb34, 0x61d9cb4c, 0xe52c609d, 0x15ec0154, 0x10f74b09, 0x903d5e5a,
+    0x60ebda9b, 0x81d87ca9, 0x3bcca8b9, 0x892fa305, 0x3ff744f1, 0x4bcbe621, 0x04379556, 0xba8b8dea,
+    0xd68ef439, 0x2aba5869, 0x1cadae75, 0xf5ba054d, 0x6fd129e8, 0xc6be10e7, 0xf5bcbd14, 0xc93ed35e,
+    0xfdde9e40, 0x1da8406e, 0x812130fb, 0xd2bd73cc, 0x0a103a70, 0x0e3165fb, 0xe067ae15, 0xf6079527,
+    0xe4813f6d, 0x623ad990, 0xa27a6567, 0x15a65fe2, 0x30ed43b1, 0xa8b03fa3, 0x88b68b4c, 0x844d2c04,
+    0xa5605629, 0x39ce0939, 0xdc4b5319, 0xcf9dc32b, 0xcd96d820, 0x347f9100, 0xcff4b1e9, 0x0f889199,
+    0x77af32f1, 0x52130e19, 0x20185d30, 0x7426d082, 0x80bdec81, 0xace3462d, 0x34ee0524, 0x716d77df,
+    0x41c20457, 0xe2c0f83c, 0xaeb2b6da, 0x1925d86c, 0x2cef731c, 0x811ac94a, 0x24207fd3, 0x8e2fe041,
+    0xf28abe77, 0x93997088, 0x12b575ba, 0xf69fbbd1, 0xa85059b9, 0x9a88f844, 0xbf879b15, 0xc2f38bdd,
+    0xd8971c76, 0xd9bd1a81, 0xb859db08, 0x3145c90d, 0x38adcc12, 0x73650d53, 0x9381588d, 0xb8f0a8de,
+    0x6f0af551, 0x26b3af7c, 0x718a2bc5, 0xe21adaa3, 0x43b3eff3, 0xfc74420a, 0x3e214e87, 0x86fc973f,
+    0x61c81704, 0x85050581, 0xb38dca25, 0xd0d34ba1, 0x57292f41, 0x5d246943, 0x25e3108e, 0xc4e1150d,
+    0x5f817b64, 0xa5d81022, 0x3123b809, 0x062e5101, 0x5d5fb402, 0xdddd12bc, 0xc9ddb62d, 0x2a11a412,
+    0x32596415, 0x6561ba5a, 0xb7109510, 0x21edfe26, 0x9449f199, 0x68b13838, 0xfc852b70, 0xa6d97d47,
+    0x41700adf, 0xf430a90f, 0x541f6fce, 0xf14a797b, 0xaed0cdb4, 0x159c76f0, 0x7c4675ed, 0xb88dc006,
+    0x2a8a3ef5, 0x6fcdcc26, 0x32441441, 0x8b5f95d6, 0x737804df, 0xf89984da, 0x5050361b, 0x6d04d741,
+    0xb013ac42, 0xa75ba3cf, 0xb56f7c90, 0xd0b6f69e, 0x59b222f0, 0x652e558a, 0xe1fe7c8e, 0xb29f537b,
+    0x68b7814b, 0x96ad36ec, 0x43be4441, 0xefe61dea, 0x8292fb3d, 0xea9da710, 0x7815eece, 0x48da80f6,
+    0x83064e83, 0xb229c9e2, 0x41a8ac55, 0x61a8852a, 0x17e77583, 0xcdd5f5b4, 0xb3546c5e, 0x576d61d8,
+    0x39b169e0, 0x0080a072, 0x7046e228, 0x889da977, 0xd9d5c365, 0x2490acfd, 0xccf6872e, 0x54ad7593,
+    0x5b6cf8b9, 0x8da8b7d6, 0x823ab273, 0xb6fcb621, 0x333b17b9, 0xd7635157, 0xda5f1028, 0xb567d9dd,
+    0xdd380a81, 0xa22e0444, 0xbcb8521f, 0xfadfcbad, 0x954f3c4a, 0x67c6e739, 0x7651b545, 0x27adce2a,
+    0x54d438b6, 0x771da99a, 0x046d6048, 0x0b7e7e93, 0xc1b94a4b, 0xc37fad82, 0xb8063895, 0xd5513175,
+    0x18c1290c, 0xc7192c49, 0x91545d42, 0x592ace2c, 0xf76b9d3c, 0xd2fc096e, 0xb94a71b3, 0xc2ecf2da,
+    0x6c00a7e5, 0x9f6a2259, 0xa1c55084, 0x2c505823, 0xf28052ed, 0x13aabc01, 0xbc78729e, 0x2df03a72,
+    0x57284159, 0x64c7f6c3, 0xbbb33ce6, 0xc313ac56, 0x0a750ab9, 0xe4ca39d8, 0xa0ce9845, 0xc0895884,
+    0xf60d1f93, 0x4b97d65d, 0x437ab17b, 0x5c56cafb, 0xcbfa6673, 0xf75c34a3, 0x8cbea394, 0x69b0d3f9,
+    0x4edd20c4, 0x20adea0a, 0x3f39f3d1, 0xcb817195, 0xafb5ff3f, 0xd9812578, 0xe0a6d8c2, 0x11315a2d,
+    0x1393f730, 0x120cc126, 0x8e6a6adc, 0xf8b13698, 0x6242f1e7, 0xd712c3c5, 0x375d0670, 0x7ecfbee5,
+    0x2ef2ad17, 0x7061339d, 0x303e77fa, 0x27613416, 0x072f0408, 0x75131d3c, 0x9a0c9c21, 0x101a1154,
+    0x54088e85, 0xacf45f4d, 0x7fb2d9e6, 0x66317ec0, 0x21684a67, 0x847e0649, 0x98b38879, 0xcf89d95c,
+    0x4a82fcbe, 0xb5279b13, 0x0ae2c87b, 0xcb3c45e2, 0xc01ef2f6, 0x723c31ec, 0xd653caa2, 0x206fae59,
+    0x1635d2d8, 0x777729b4, 0xe02c5dff, 0x65e12b46, 0xf5a05e9b, 0xd6a3d4e1, 0x8c009183, 0x0c1b292a,
+    0x11187d8a, 0x85b4e5f5, 0xd44dd070, 0x6d78d90d, 0xf85d3ca7, 0x93535257, 0x11a80e09, 0x050761ed,
+    0x0dff6b0b, 0xca319363, 0x746d355c, 0xabd1ef64, 0xf635c606, 0x621d6709, 0x44c2f3d3, 0x976b143f,
+    0x40870755, 0x03c51751, 0x26fe65a6, 0xc7975776, 0x4128d2e9, 0xb99ce96c, 0xf121766a, 0x44988c5d,
+    0x536d6f0e, 0x9f99689a, 0xf138048f, 0xcfcf0c95, 0xe0dc7aad, 0x76b0a95b, 0x56906d08, 0xe05a8577,
+    0x3c9e1ee9, 0x2269d82c, 0x5a701223, 0xf170c3f3, 0x81bf6890, 0xda0f22e4, 0x5c2a3186, 0x38f7a6ec,
+    0xd627d7f9, 0xd47a83b4, 0x4c3abcf0, 0x6fb6f451, 0xe1b70470, 0x2e8147cb, 0xeab880ec, 0x681b16cc,
+    0xfe64a4de, 0xe84f2538, 0xe03da65d, 0x2165fe76, 0x75d8949b, 0xcc3119b5, 0x4120abb7, 0x06381b2f,
+    0x4cf4c1de, 0x92ac68b9, 0xec375e94, 0x7b0eca61, 0xc9045acc, 0x2fc2bc99, 0xe4677be9, 0xa8738c09,
+    0x638bb0bd, 0x7bb5c472, 0x7f2b9477, 0xf5a99c53, 0x847ee678, 0xc3ff727e, 0xe91c08d4, 0x6e314ce5,
+    0xc915c666, 0x0bcaf187, 0x49cc91cf, 0x5b171074, 0xf0c0669b, 0x0c6cc283, 0xd4b592cf, 0x99ccdca6,
+    0xa475f3c8, 0xf6bfe74d, 0x95f31550, 0xbef39267, 0x9cc7452a, 0xb52650bc, 0x15e127fe, 0x430a99e3,
+    0xd6069aba, 0x97a6b4c8, 0x6b16b7d2, 0x50a5d2c9, 0xac2c0032, 0x7f2ce12c, 0xf88ecb7e, 0xb68d7657,
+    0x7f081571, 0x4cb6e79c, 0xa7e34e9e, 0xeb8af841, 0xa471aa07, 0x14de0593, 0x691ce26c, 0x5f7792b1,
+    0x83aa580e, 0x8be57bdd, 0x7bac4e33, 0x9eb3db0a, 0xff8fb9a7, 0x0721bc38, 0xc7937001, 0x054d5f85,
+    0xc84d31e5, 0x6a0d2c6b, 0xcf0ef4f9, 0x49afe30c, 0xc4452edf, 0x159d9134, 0x2a3bb087, 0x757a55b4,
+    0x2a3d8748, 0x9dab1abb, 0x0d78459f, 0x58dc436f, 0x7b825960, 0x4bf55962, 0x03f08c21, 0xe0044ef6,
+    0xb2ce5d3f, 0x10eda5eb, 0xe541f33f, 0xd399a70a, 0x62d69d9d, 0x81739612, 0x4ce08ac1, 0x47e3603e,
+    0x6c6efe00, 0xafb4cedd, 0xe2b26aef, 0xd2634c82, 0x3fceffa8, 0xf11dbc28, 0x2ac68255, 0xeb0cc15c,
+    0xabe06582, 0x206f764c, 0x0c504bd1, 0x10c5cf9c, 0xb257cdf0, 0x9b896c34, 0x87ec14c0, 0xf65e85c9,
+    0xf3b83887, 0x360c57bd, 0x8881e9a1, 0xa6069754, 0x8e80bba9, 0x54d337aa, 0xba3bb3d9, 0x6b785a3c,
+    0xdd68c5c5, 0x559e4a57, 0xe5f9b72b, 0xc74326e5, 0xd4d6ff97, 0x075a2e9e, 0xa5c3ef9a, 0x11f74420,
+    0xd62fdebe, 0x3d94b2a0, 0x2b5774d5, 0xccf842b4, 0xdfe8dfc9, 0xa97aabfa, 0x17e092d8, 0x129f9518,
+    0xed7e18f5, 0x31d47922, 0x544ac79e, 0x9add22ba, 0xb113d9d3, 0x0f013198, 0xe62195d9, 0xfcd48bfd,
+    0xa5843db8, 0x3aa561f0, 0x7f0e3a27, 0xdcf9c3c8, 0x6c9943c8, 0x6057a5d9, 0x15263a1a, 0x8e24fa6f,
+    0x1f0e95a9, 0x5e611dca, 0x85b9be0d, 0x13eac77c, 0xd85c4d7d, 0x904ab991, 0x468ca3f8, 0x1e54efc8,
+    0x29e6bfbb, 0xa9f6b232, 0xb7dbad6c, 0xbc2f96d7, 0x70bce6e5, 0xe1d9608d, 0x92cbf812, 0x4869f592,
+    0x36d8064e, 0xeefaddde, 0x091a97a4, 0x7d9ddf9a, 0x3f192b4d, 0xc04ef147, 0xbb8ab8d1, 0xee0d25b7,
+    0x6a5cad8d, 0x0e1627d2, 0xc145af21, 0x492965bc, 0x4e39cf9f, 0xb3f985a6, 0xaa2a23e1, 0xb0a7dcc5,
+    0x428e234b, 0x47440bae, 0xecb17e94, 0x11eb51a0, 0x70f0feb2, 0x0dd0448f, 0xf6f757eb, 0x2d8f977e,
+    0xe9c20587, 0x9637ac3f, 0x1eef0889, 0x0036a364, 0x18ecc955, 0xcc2254c9, 0xb83352e9, 0x3be1032c,
+    0xb0d3a805, 0xf88d98bb, 0xc0e19be5, 0xc2932e4a, 0x07044957, 0xca1dc0f5, 0x5bcf9146, 0x9632a2c0,
+    0x3c9e9542, 0x5f3fa462, 0xc64f4292, 0xb6435bd9, 0xa14cb342, 0x4857c7a7, 0x579715c1, 0xbcc86efe,
+    0xa2021420, 0xf568dbe3, 0xf73ca04f, 0xcca26188, 0x63411f2f, 0x138bc929, 0xd05aca98, 0x35e8a3b6,
+    0x74b11508, 0x18da61dc, 0x9bbabc6d, 0x58b566ff, 0xd095db95, 0xdace5ca3, 0x8dc67094, 0x02f0ebf7,
+    0xc898af1c, 0xea400a28, 0xc84ca48a, 0x749d0b38, 0x12d0251e, 0xd697ab53, 0x17a43014, 0x76d536bf,
+    0x56b5c268, 0xe19dcd7f, 0x1797bb8a, 0xf5381e90, 0x1f2fd87b, 0x27ac8e39, 0x7cde3591, 0x433d80d2,
+    0x6528b653, 0x93455fbc, 0x916e1005, 0x343c4953, 0x25f3c8fa, 0x7b721fda, 0x43f91126, 0x5b8fefc6,
+    0x34b435ff, 0x0278fd01, 0x66333ce4, 0x6b469bce, 0x6cbb6ce9, 0x015b5088, 0x43ee8ea0, 0xff7ab843,
+    0xf27e9e45, 0x8b543400, 0x36f16b2d, 0x7b83f17e, 0xabc6351d, 0x21e9d105, 0x5213c973, 0xe65e2799,
+    0xb2e34efd, 0x63a679ab, 0x14e196bc, 0xdaea80c1, 0x0a33b84b, 0x1127c461, 0xc889b899, 0xb18c5b12,
+    0x8bd0b5d6, 0x64aacaa3, 0x43ed7fa1, 0xc3e4655d, 0x027ac121, 0x6ae1bb57, 0x6ba12fc7, 0xe9ab72f8,
+    0x2ca85c55, 0x46799906, 0xc524e84e, 0x2a45418a, 0x8397769a, 0xec76356a, 0xee7d54a5, 0x7716763e,
+    0xb92ac09c, 0x9bfa9b37, 0x5a205345, 0xef545149, 0x435f4d5f, 0x3ea59026, 0xdeb36cfe, 0xa33e3ed1,
+    0xa3c8cae6, 0x0d64f96c, 0x6291faec, 0xb6e99fc6, 0x81e31ef0, 0xd607b905, 0x2ce34e6a, 0x4b189f9f,
+    0xcc15f0f5, 0xeb6969d2, 0x076087f1, 0x865762af, 0x621f6670, 0x82f39aa7, 0x208d059c, 0xc8ec63c3,
+    0xd87763bb, 0x40f47825, 0x218a0da9, 0xb5d362a8, 0x5b76184c, 0xaed6b29d, 0x7c85f7f4, 0x6ae6cd71,
+    0x7ac263ef, 0xbe9acee0, 0xcd07476c, 0x824a68aa, 0x4426a34f, 0xcb002f59, 0xaee850ed, 0x67cb7d46,
+    0x19a11161, 0xdcd20644, 0x70f86755, 0xb7c8b1bc, 0x13c7698f, 0xa899ace6, 0x9785e5c7, 0xc628ee2c,
+    0x7945301b, 0xeda7a690, 0xe00789bb, 0x9bc11a84, 0xa592d75d, 0xbe5a0a4a, 0xb252b309, 0x8f8b3da5,
+    0xf27d07a5, 0x73efe06d, 0x82bbdd75, 0xf991910a, 0x46dda0c7, 0xc1a8ed92, 0x29f5241a, 0x3f1e42ec,
+    0x3d913bb9, 0x6bb66eaf, 0x6b17cad9, 0x8eb20936, 0x2de489cd, 0x1b96462a, 0x41ed2164, 0x429ee52b,
+    0x0051ea4a, 0x864a6418, 0xe0e69517, 0x991dea4c, 0xeaf263e1, 0xd7a54cb4, 0x42049d2e, 0xd9ac818f,
+    0xade6d42d, 0xc6ebbced, 0x25890744, 0x24eec2c6, 0x5dc6964c, 0x6c814201, 0xb5055cbe, 0xda7313d4,
+    0x6defeb63, 0x5c83b22b, 0x8bec8152, 0x1a17f2f6, 0xa2793a2f, 0x73737e9e, 0x40784fff, 0xca985c74,
+    0x69084b5e, 0x888e9b17, 0x51d3c177, 0x4b098d5b, 0x3fb6ca61, 0x84c177d1, 0xf44f1e62, 0x1b051f22,
+    0x0a18f798, 0xca3dce93, 0x62a55172, 0x790f2577, 0x7da8fe66, 0x4b05d8eb, 0x40fbf6bf, 0x2ac8b83e,
+    0xe0c16ceb, 0x3d2c1202, 0xc61a7790, 0xcbf783ee, 0xcd2719f3, 0x3b832984, 0x094d33d7, 0xc2320950,
+    0x3a8e5ddb, 0xb2f8c16d, 0xd3c80095, 0x1f2bb1ff, 0x14c4f6d3, 0x557d1df8, 0xcde92ca2, 0x709f3782,
+    0x4e954985, 0x2bae9e08, 0x500507d8, 0x5c8abb51, 0x317ffc9f, 0x491f643e, 0x76f19e09, 0xcd1e6731,
+    0xbf0eb741, 0x05ab93d9, 0x6ee2be23, 0x2d3bd896, 0xfb1d600d, 0x9da81718, 0xe66b7318, 0xa6af7fd4,
+    0xfb8c0ba8, 0x3aea513c, 0xe450d649, 0xaa6952fc, 0xfcc00d60, 0x3cf083e0, 0xd41c8b5e, 0x6e515fde,
+    0xc093f6df, 0x8c318f95, 0xc3e87c79, 0x7df0ab7f, 0xb07fb192, 0x76e48b51, 0x469362b5, 0xbdce9690,
+    0x73401b61, 0xbcc96b17, 0xaf2a12fb, 0x96589478, 0xbdec5410, 0x617b6703, 0xd0389298, 0xea1acd2d,
+    0x047b9a6d, 0x317cb817, 0x617f258e, 0x50e346a5, 0xc4910c07, 0x57c15e68, 0x5263d3d2, 0xbb8d4ca8,
+    0x257c4da8, 0xe8f3bc3a, 0x5ea4e7b8, 0x6661305e, 0x1ad05912, 0x44baac2e, 0x380ae664, 0x6cedff6e,
+    0x13401ba5, 0x52db378b, 0xa6dadee6, 0xb33707c4, 0x0d39e627, 0xe34cab95, 0xc902ac62, 0x22dcdb7a,
+    0xd79612af, 0xf1e332bb, 0x24180f2d, 0x38465edf, 0xf76ce0c3, 0xd6f1f572, 0x137bc452, 0x4216d1cc,
+    0xea135ff8, 0xfb89aaac, 0x16073b83, 0x097ac4a0, 0xa481386e, 0x6eb19be8, 0xe8497aa5, 0xabae9fff,
+    0x707569fa, 0xb3266a6e, 0xcf7fbab4, 0x836cc39c, 0xb353065c, 0x8b2c6025, 0xdfda2c3f, 0x34bc9702,
+    0x618d25cd, 0x9143c499, 0xf71cde9c, 0x75090d02, 0x7fba404f, 0xa18cc311, 0x15512640, 0x45737ea1,
+    0xde585c76, 0x38f90823, 0x95626cfb, 0x7780ca90, 0x2ccc2bdf, 0x1369cb47, 0x06f39f8a, 0x6b59db30,
+    0xfe693275, 0xb53e9738, 0x41b6f443, 0x22d36de4, 0xb332b475, 0x5370f756, 0xa4b538b8, 0xb33da6d7,
+    0x2c20b388, 0xc600a19f, 0x87a1887d, 0x1e611d51, 0xe1b61f7a, 0xdd98297d, 0x54e64249, 0xcf8bc372,
+    0xd8f48e87, 0x057db4a0, 0xc451c650, 0x298f920a, 0xd40796af, 0x4d963c7b, 0x7e9e09c4, 0x92be30e9,
+    0x41411731, 0x79858acd, 0xfe019ee1, 0x1573e1ea, 0xf2e79dc8, 0x3bc766be, 0x86e2d78a, 0xd9473ca8,
+    0xaa48402b, 0x6f98a532, 0x7401aec4, 0xe83bb099, 0x3039e626, 0x695d9040, 0x815f569d, 0x174ce9d0,
+    0xd344c94b, 0x61cc552b, 0xe862e658, 0x282a8bb6, 0x08974d70, 0x148c2ec8, 0x61ec02cb, 0xfe3bc027,
+    0x00000000 }, /* 10**00000000000000000000000887254302118660755065092538925786785099659864120261304\
+                         05455346579667881849780019937279180995332466499116518750764914298527173050368 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a,
+    0xd4e91b6a, 0xc8082e78, 0x59d06650, 0xfde9dd51, 0xf3a3e24b, 0xeab63ad0, 0xbd61435e, 0xe480565b,
+    0x00000000,
+    0xc841b1d2, 0x6ec01fee, 0x249b0f0e, 0x69c863dc, 0xfd411c9b, 0xf0339f97, 0x4869487a, 0x5a4b8eeb,
+    0xaf422e50, 0xaf7a0383, 0x75798fff, 0x233ea825, 0xd5deb831, 0x6d314c6a, 0x34c063d1, 0x7f55dd08,
+    0xb1e06fef, 0x11fd5697, 0xf69c7bac, 0x1e1cada8, 0x6b9b60d4, 0x2c9cf554, 0x020f25cd, 0xef32f0c6,
+    0xe7535bf2, 0x500ab497, 0x43b4c911, 0xfe9288d2, 0xc282ba00, 0x4ccc54f6, 0x71462126, 0x93c63d50,
+    0x638948d2, 0x7dcd9105, 0x35d5e584, 0xbb1428c6, 0x0373bd8c, 0xe1be8611, 0xea94b9ca, 0xa248b898,
+    0x7b095278, 0xfda3a536, 0x9f10500d, 0xcd066839, 0x80903100, 0x79ef851c, 0xe4bfec83, 0x0dd09bb7,
+    0x94444de1, 0x085561d2, 0xea09a1a2, 0x8b40be2b, 0xd50a5e27, 0xc64bee47, 0xef8eee38, 0xb07cf92c,
+    0x612903fe, 0xa509f2a9, 0x58047018, 0xce5e6f75, 0xec3bc350, 0x21679c87, 0x6247d9c2, 0xe0a16db8,
+    0x09b1078e, 0xc3c76702, 0xeae42cd9, 0xa3a9d102, 0x05a0ed12, 0x81e2c2c2, 0xc53cce0a, 0x5c9e540a,
+    0xa50e0c30, 0x54ea1f81, 0x8bf93500, 0x6657ddbc, 0x4d749b58, 0x6b489028, 0x6dae459e, 0x3ef7a785,
+    0x6f08c4d2, 0xe3260cc1, 0x3e43a5c2, 0xe7297ef1, 0x9338dba1, 0x3771bcd7, 0x2b1f430d, 0xfa25461c,
+    0x4c92783e, 0xe64d1e23, 0xd6af612d, 0x6f0d6d69, 0xb467156c, 0x8735e108, 0xb53800a5, 0x6f92ce3d,
+    0x56fa1bb5, 0x89d67db7, 0xfd7ec1ef, 0x39364e06, 0x09b7ebfd, 0x8faa7ebc, 0x9dbc641e, 0x14438571,
+    0xfe6e8de4, 0x42d93a4a, 0xa15f1161, 0xe254b2ea, 0xd5d5ddd8, 0xde84f9b4, 0x7ddcb5be, 0xdeb35dfe,
+    0x2840708a, 0x24bb3d57, 0x0e5cb871, 0x9eeb9321, 0xc2fe4422, 0x4d6eaabe, 0x1f56d12c, 0xe0cf3dfd,
+    0xca03e59d, 0x36a50c42, 0x95d6638a, 0xd3f837df, 0xa0c1c4fd, 0xbc3efeec, 0x83ed9d81, 0x53d34124,
+    0xcb5e9580, 0x1d3c4221, 0x6020986d, 0x84e093b6, 0x9419110e, 0x7c915805, 0xda387665, 0xbc7d916a,
+    0x022b41b7, 0x37e64fc8, 0xd9ff7b8d, 0x06fcdbab, 0xd805c4e2, 0x6fed8f63, 0x776c0b0c, 0x3668d9c0,
+    0x3bc61d02, 0xc116354f, 0x1ef2765b, 0x9af7b347, 0x0056d479, 0xf93001d6, 0x31762857, 0xb0882cfe,
+    0x25c8e978, 0xdf8f1e15, 0x4f5aadf9, 0xeb9c88ea, 0x4f828d2f, 0xfc101831, 0xf704706a, 0x42733eb6,
+    0xe93d9a53, 0x727cdd2a, 0xb29cdd29, 0xc70a1667, 0x1568ee2a, 0x70a43788, 0xd331b875, 0x82980c24,
+    0x1a0721b1, 0x59108b6f, 0x0cdbbcc1, 0x4b8e7c52, 0xe8a35ddb, 0xf8fee511, 0x09a7d6fe, 0x358d76af,
+    0x4311c3a5, 0x2e52fc85, 0x97d9adbe, 0xbfdcd20d, 0x14f68c37, 0x908c613a, 0xd0a232c9, 0x65d1cc44,
+    0x215560e8, 0x5707ff55, 0x8d8df8ae, 0xf820c7c4, 0x44d29640, 0x6309ff05, 0x268c1c29, 0x257c0725,
+    0xa97e7e79, 0x4426e327, 0xd481b760, 0x5faab04d, 0x55b5a781, 0xafef55ad, 0x5e110e91, 0xed536871,
+    0xcfab3e3b, 0x0b62e664, 0x61ea4196, 0x3e11fe77, 0x442566cb, 0x24d8093a, 0x3795335b, 0x93aaa85d,
+    0x12ef7e10, 0x04e40922, 0xb7949d71, 0xe4f5e69b, 0x085bcb31, 0x15e9077a, 0xc0d6c830, 0x41799d43,
+    0xf87839c0, 0xea9de268, 0x1cbe27f1, 0xf84e15de, 0xe87197c8, 0xaf0f5cbd, 0xe26e7c69, 0xb051d1fe,
+    0xc23883b7, 0xb4f06d63, 0x3eb4fc50, 0xadbb719f, 0xbbe352ec, 0xa4ae61f3, 0x44e0743e, 0x533b0d55,
+    0xe567e08b, 0xd58ed001, 0xb05d7747, 0xca3496b5, 0x2bc244f3, 0x0d3e9e5f, 0xd7c4adb2, 0x7cef8541,
+    0x166d56f5, 0xcc1e0aea, 0xa378ceac, 0x0fbd16c9, 0x6d7c3af8, 0xdd03a1d3, 0x3a3e0ffa, 0xd65f50fc,
+    0xdf3f1ce3, 0x276f8c20, 0x9805b162, 0x75e4f6b2, 0x0baf86d8, 0x4fb3ea2c, 0x2ccaf813, 0xec7872c6,
+    0xe3d788ea, 0x829ad6aa, 0x34b121db, 0xae7305ae, 0x8dcde11c, 0xe6de8f72, 0x71157a56, 0xdead5a87,
+    0x4b961cda, 0x76627f93, 0xa33353f0, 0x162dd0bc, 0x1b52b792, 0xef0efc26, 0x280ec183, 0xb69b7d35,
+    0x727a5640, 0xd83497e2, 0x4bb053f8, 0x2f325a4f, 0x3d1c3e90, 0xf026e306, 0x2fc5959a, 0x2e7f23a3,
+    0xcc497b46, 0xd911b552, 0x51bc1917, 0x4044b67d, 0xda0117d5, 0xdf1862fb, 0xfbed649a, 0x09861180,
+    0xd03da4b6, 0x05c4013d, 0x2e58a706, 0xb77ae492, 0x6bdc232c, 0x149f6754, 0xe9726db8, 0x7aec1002,
+    0x959b3fe4, 0xd0c67de2, 0x64c8b929, 0x6a75496d, 0xeb7bda0f, 0x41ff6a22, 0x30039a6e, 0x8982c3ac,
+    0x364c6b9b, 0x85ffebf2, 0xa1e45138, 0xbe77b959, 0x35732b38, 0xa33d440f, 0x7eb69c7c, 0xafcef86c,
+    0xa3a7caf5, 0xd87c37ab, 0xc333ae4c, 0x2f48f186, 0x9bb8cce9, 0x3c8a1a68, 0x7dbdb372, 0x35c4fe4e,
+    0xf520a8d4, 0x7aa9bb5b, 0xac96c964, 0x04a2c29f, 0x95ddd30f, 0xd6757f62, 0xd60674a7, 0xea165955,
+    0xb1f83160, 0x753209ee, 0xbb2e4491, 0xc20fca3e, 0xc8de0f9f, 0xa1b03736, 0x1cfcdb07, 0x8db04c82,
+    0x66c74de7, 0xdc230b7b, 0xd9abec31, 0x6601adc3, 0x4c60614b, 0xc93c6d2c, 0xe275aee7, 0x228ada82,
+    0x4025a949, 0xaa9ca68a, 0x4260a0dd, 0xea0c62bb, 0xcde32a1d, 0x254fc27a, 0x308336e6, 0xe31413d1,
+    0x8871cf75, 0xb5095b74, 0x28108ce9, 0xa4bf58bb, 0x9768a3a5, 0xd52f2233, 0x84359fc6, 0x17671b2b,
+    0xd178f080, 0x9e50da7f, 0x9f82e549, 0xe230eaf0, 0xfaf339f0, 0xc8a5f338, 0xf80ca1fa, 0x0a7f843c,
+    0x5c06a957, 0xfbe61b54, 0x1dd61103, 0x21311073, 0x288e19f2, 0x8d5d39ec, 0x8dd5c97c, 0xa2838fda,
+    0x7f032077, 0xf12bea5c, 0xe2e5a90e, 0xce8dc715, 0x885554c1, 0x74bb6763, 0xba62508f, 0xbeb87f15,
+    0xaf03f598, 0xbb596fc6, 0x0b3fbd0d, 0xe9ac99bc, 0x1703235e, 0x5949168c, 0x004dddbc, 0x5e21681c,
+    0xc3b9e7e8, 0x3a381711, 0x8a24f269, 0xf360aa1c, 0xe844207d, 0xfc41bacb, 0xc72b94f1, 0xe8b4e7b6,
+    0x0d43b38d, 0x9a720619, 0xb6dfc50d, 0xd70c4d56, 0xe2b26334, 0x9b600d8a, 0xf62d622c, 0x74d398ce,
+    0x96882d7c, 0x3b3edb02, 0x658dfd15, 0x0cd4fd70, 0x9efb24b8, 0x22346b95, 0x6f9d3a4c, 0xabcb790c,
+    0x31732ceb, 0x0c4cc86b, 0xf6a9ef4a, 0xfa59a46f, 0xfd8e0e2f, 0xb58fe729, 0xcdef384c, 0x45d7ca35,
+    0x9e561ad6, 0x87a6835a, 0xf510cdc7, 0xa3a44afd, 0x53730b53, 0xfed3cc07, 0x2898cef1, 0x4955751d,
+    0xd06c3c83, 0xd99dc767, 0x10ccf770, 0x6f5549a0, 0x4b8f6121, 0x5b622f9e, 0xfaae62ec, 0xc06c2cb8,
+    0x9a337c50, 0x68b44e7d, 0x8e89381b, 0xfccdf3c0, 0xa48360a3, 0x63fd8c43, 0xeba7a852, 0x9f5c0abd,
+    0x267d2119, 0x82897018, 0x6275b1f6, 0xb47645cb, 0xd3f8f553, 0x2829a645, 0xb7c7f867, 0x916119b6,
+    0xb275ec73, 0xa5883eed, 0xa2a706b3, 0x056837a2, 0x348f5eb3, 0xcaa769af, 0x7466e303, 0x4e15de29,
+    0xfaac2d56, 0xece81925, 0xb05a6520, 0x2532d4e2, 0x98010a40, 0xc95019e4, 0x0320886a, 0x390551ad,
+    0xa9f366b4, 0xcf7deb91, 0x9606f054, 0xa840cf93, 0x68fc6179, 0x68230eb5, 0xa11ae818, 0x32607784,
+    0xebf81336, 0x9de52a47, 0x268bca69, 0x6e877050, 0x19212ba1, 0xc0ee2465, 0x4dea5608, 0x53a65497,
+    0x8224f4cd, 0x70b5bda7, 0x95a2b1bf, 0xf543e36a, 0x1529ccab, 0x281e393f, 0x91c3864e, 0x1fb6478c,
+    0xb044e423, 0x93a79b95, 0x74ba3449, 0x2f996485, 0x2b49589c, 0xb59da7de, 0xfe4930a6, 0x00053f95,
+    0xb20cc05d, 0xde0f387c, 0xb3c80427, 0x10752d63, 0x7899b496, 0x68e5b975, 0x5fd5574a, 0xee2586d0,
+    0xce13ae53, 0x904affc7, 0x5f14b4c1, 0xb4df18da, 0xfd7bd13f, 0x1fb5729b, 0x8ef4de09, 0xfc02b884,
+    0x6d8b0c41, 0xe67b5c6d, 0x74604977, 0x12007edd, 0xa3da9841, 0x036c9675, 0x67a6ce24, 0x7d66e5d1,
+    0x9c511d16, 0x18b0cc6d, 0xc8f1e034, 0xcfcd4666, 0x2a2dbcbd, 0xc6d93571, 0x658ba47c, 0x40b34b7a,
+    0x5db56843, 0x58885cc6, 0xd99b89d2, 0xdeee35a6, 0x85161389, 0x09cfeef1, 0x0712a571, 0x7a538880,
+    0xf98be557, 0xb7254cc4, 0x75630f54, 0xcdcb30ca, 0x1738fc3d, 0xafc11e28, 0xeb36843f, 0x6ee4995a,
+    0x81e1e61b, 0x49d51dff, 0x9e3e4080, 0x347dc389, 0x23b9c34d, 0xa3ced5ba, 0xeaf21cf8, 0x4f9a9c77,
+    0xe3980019, 0xb7629c1e, 0x2ac5cda9, 0x917f6bf9, 0x15d37c46, 0x9ea247f3, 0x49ed7b3c, 0xd5ebf4b5,
+    0xfbd7bf32, 0xebac1c13, 0xf43507f5, 0x2563f313, 0xba92b687, 0xc6fc4c59, 0x84f34167, 0x3a991039,
+    0x0c1242bd, 0x06b7efc7, 0x1dfefea8, 0x2dcddb06, 0x836c5cc0, 0x0c7d5a61, 0xc887bc36, 0xe43ac7ad,
+    0x0bcd3502, 0xaa51ddbd, 0x8f6b0619, 0x9db797bb, 0x58040d5b, 0x35ef7d49, 0x798aa760, 0x3c110993,
+    0x6cca943a, 0x40f239eb, 0x8bb8911d, 0x6bf46f21, 0x33440a33, 0x7491dce1, 0xe2a430a0, 0xc807fecd,
+    0xcc9f0a39, 0x1e7f2030, 0xe9794575, 0x7821b7c3, 0xe146a175, 0x46c941c4, 0xfef944e4, 0xb5cb558a,
+    0x8cd72191, 0xa3b63692, 0x3ee84275, 0xdbe672b8, 0xb6313f43, 0xd4802c9a, 0x1d75d5af, 0x02d3101c,
+    0xd028f9e3, 0x85e957d9, 0xb8c159b5, 0x8e2cba74, 0xb7298c2c, 0xaf3faf3a, 0x50fef967, 0x28b3453b,
+    0xba173340, 0xb370d6e3, 0xc113151f, 0x46e95109, 0x117a29f2, 0xd81175ad, 0xdecfb3be, 0x494b49db,
+    0xe3ca849d, 0x97f38b13, 0xc958b793, 0x02db153d, 0x63f8c86a, 0x333912e6, 0x3f3603b8, 0x05a8986d,
+    0x62293582, 0x86b92374, 0x4a084d25, 0xcf0253e2, 0x841c7d80, 0x886393c6, 0x684c6ce3, 0x59611a47,
+    0xb8d86bc8, 0xa6bbbf68, 0xc20e8dd9, 0xcae1bc62, 0x9836372a, 0xde7de9d2, 0x885e7c55, 0x51b34aba,
+    0x1a9b5af7, 0xd803f674, 0xe84eb501, 0xe9d4cc1b, 0x10ec53f8, 0xbb03d286, 0x9bf8b1f7, 0xbbc38353,
+    0x0fde582b, 0xe2feaec9, 0xe64e45b3, 0x2a8a5f31, 0x0fc78acd, 0x877c4e1a, 0x494c138d, 0xa484d591,
+    0x719c86f9, 0x76108635, 0xaba8dc80, 0x4aa7da70, 0x81011ebc, 0xfc464e29, 0xf2309d25, 0xe86dcc54,
+    0xa5b028e9, 0x5207c38e, 0xd6f68e03, 0x133b0085, 0xded865b8, 0x02d6bfec, 0x4f45fd8c, 0x5ab89158,
+    0x6fbfdfd4, 0xae2882df, 0x70449dbe, 0x4f335533, 0xb445593d, 0x8879a3c2, 0x936c44c3, 0x0952283e,
+    0x2a920def, 0x606348ed, 0x7ed18c60, 0x8385518e, 0x302cdcd5, 0x74d2ea1a, 0x1d278d4b, 0xd657e0fb,
+    0x743cf6d3, 0x341f76cd, 0x406eecfd, 0x6b8fa61e, 0x6bda6f69, 0xd03f68f2, 0x4b84ca0c, 0xc9601d50,
+    0x09137c47, 0x64729c2b, 0xe862f893, 0xca8d84c9, 0xf4321fbc, 0xd0a0e704, 0x863a51b8, 0xc34b9088,
+    0xb909613a, 0x5162b65f, 0x0e95f93e, 0xc78af34c, 0xda7ba74c, 0x82361031, 0xb8e181ea, 0x2538fbe7,
+    0x48d87fc6, 0xa4ecdf3f, 0xdcfb840c, 0xcc694421, 0xd2d06f45, 0x36622bca, 0xd5f9dc2b, 0xa610fa3e,
+    0x82c9c6e8, 0x9ac79916, 0x1198f6d3, 0xb6d6b191, 0xcd843355, 0x9f474780, 0x4037b17d, 0xc0456300,
+    0x24f7a2d6, 0x09998c89, 0xd8007e0c, 0x6b02c07d, 0x36fb2856, 0x3a427a6b, 0xea12b67f, 0x0037ea6e,
+    0x36f0bac5, 0x3327d5ab, 0x2da633f6, 0x2532e30e, 0xe2380842, 0x41ce94bf, 0x7620f3a1, 0xa119eef4,
+    0xb2687de0, 0x3c507272, 0xcbc5353f, 0x9290db99, 0x0ace407e, 0xd6f13153, 0x0628c30c, 0x8bde0e30,
+    0xe73cc6b9, 0x985caabb, 0x8f547889, 0xa146d725, 0xede21728, 0x34eed505, 0xcc514511, 0xa0ac8bc1,
+    0x2a94d7ff, 0x96bcaa6c, 0x9ce3f739, 0x40f3dbd1, 0xe400870b, 0xd7763cdc, 0x6c998e1e, 0xf69455ce,
+    0xa5c53b88, 0x61466c19, 0x11825dc5, 0x86c30de5, 0xdc97ae36, 0x8c583362, 0xc40c7807, 0x24fb3007,
+    0xf0e1f725, 0xc304d9fd, 0xf5f35bd5, 0x995cce39, 0x9d0331a6, 0x523ac7c1, 0x3ca7fb8f, 0x0422793b,
+    0x4deadfb9, 0xf1b0be6b, 0x28b687fd, 0xcaa06357, 0xc20e1236, 0xb0c71e0f, 0x70f7f94e, 0xb2223354,
+    0x77fd951b, 0x8604e5d3, 0xde5bf565, 0x0c9f9088, 0x34bd1594, 0xc4a28e14, 0x71b8689d, 0x28f2d418,
+    0x9506f004, 0x5f81b04a, 0xb2584874, 0xd165546f, 0x2d10752f, 0xa127c9cd, 0xbf7c1baf, 0x3aac6177,
+    0xb6625d69, 0x6a341c6e, 0x0447f631, 0x519fcab6, 0xf73df0f8, 0xdac96bf5, 0xa27ae784, 0x400fe4c8,
+    0xa92f8543, 0x8f32f440, 0xb59640d4, 0x57598923, 0x9e964b10, 0xb367e694, 0x246a05dc, 0xdbe976b8,
+    0xa93f9785, 0xa66913f6, 0x756e446e, 0x49563a35, 0x303e3560, 0x53d3cf16, 0x0c0c0bee, 0x6e7ff386,
+    0xb54320b4, 0x2fc9f380, 0x8a0ad9b8, 0x949291c8, 0xd29a4885, 0x9711445b, 0x2e7b4321, 0x5217797f,
+    0x24d5a158, 0xc71513ea, 0x9443d9d5, 0xb389e1ab, 0xe047e766, 0xa43e4faa, 0x15cdf8bb, 0x073dcb00,
+    0xe19853c4, 0xcd91bfff, 0xf64bf32d, 0xe670bd10, 0xe0d99c58, 0x2833d0d7, 0x2830fa10, 0x32a8d2bc,
+    0xc8a07709, 0xbb143d3e, 0x0fa09372, 0x02869369, 0x63115aaa, 0x154c0eee, 0x6a76a8d5, 0xe5e2a005,
+    0x09d871a6, 0x0e43d994, 0xe30a1ad3, 0xfc72619c, 0x1fbe2ec9, 0x16ae0f48, 0x424cbb3c, 0x7f754641,
+    0x16f615aa, 0x45fc375c, 0xa3a7a19d, 0x4060c851, 0x5fa4a5e7, 0xa5e134e3, 0xf5cdac51, 0xcd0f651b,
+    0x3df00d38, 0x8985bb1a, 0xb434fcce, 0xe1ecc065, 0x38ba01f6, 0x6e9ca583, 0x5cd88582, 0x7d064a6f,
+    0xd7772ae7, 0x1165497c, 0xb65a4fb5, 0xed12b2e5, 0x7e21c682, 0x704e1e8f, 0x4a18f524, 0xa15f8cf6,
+    0xafa7263a, 0x8adbf9b5, 0xb2246acf, 0x85ca0026, 0x7a5acc1e, 0x6a236cc4, 0x5bb73d71, 0xc7002067,
+    0x1778c274, 0x2ecf9093, 0x784b3b3e, 0x61be6c86, 0xa7210a77, 0xece22fd0, 0x9450b001, 0x1e434723,
+    0xe69d4ee5, 0x21358128, 0xbff84d21, 0x91ef6269, 0x4ffeea32, 0xf54968cb, 0x5e8cf5b4, 0xde3d4698,
+    0x6187c45d, 0xb7258211, 0x30cb19ee, 0xda3e112a, 0x25f4b64b, 0xfcc09e13, 0x7cecdb65, 0x9cb7f8b0,
+    0xc85fb296, 0x5c0a3b19, 0x6d89f6cc, 0xeb909955, 0x1cbd4dc4, 0x2f18b3a8, 0x1fb48be8, 0xe3920273,
+    0x835b59c6, 0x96fb73f3, 0xfb0774f4, 0x27ccca7f, 0x30559e01, 0x0c34c105, 0x0242106f, 0x1ac77ad8,
+    0x0ba0608a, 0x7fa348a1, 0x108eb116, 0xcdc4253f, 0x39c37b1e, 0x9e008c79, 0x6e21818f, 0x406c7d30,
+    0x6bc341f0, 0x2bc5ccb2, 0x5f307ed4, 0xf3dc8766, 0x0c261e38, 0x04622b00, 0x404e7c13, 0x20e49892,
+    0x9cb42097, 0x2e5d30cc, 0x49ed1799, 0xbd888f22, 0x53323f56, 0xfd6a288e, 0x77215959, 0xb7847df5,
+    0xd1f28c29, 0xe0e0db40, 0x387bdc43, 0x7d0200f2, 0x4f909379, 0xb0ba8b9f, 0xa7fd449f, 0xe79b42e2,
+    0x8530093f, 0xef0fc4b1, 0xa8b087b5, 0x618368c0, 0x33c7a4af, 0x718b13fb, 0xd99b58db, 0x2a31defb,
+    0xf4388af9, 0x8ab83744, 0xdcbfd4d2, 0x156f4b04, 0x0b39b7bc, 0xb47ded1a, 0xb3b7d06d, 0x5bac702d,
+    0x00000000 }, /* 10**00000000000000000000000443627151059330377532546269462893392549829932060130652\
+                         02727673289833940924890009968639590497666233249558259375382457149263586525184 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d,
+    0x6a748db5, 0x6404173c, 0x2ce83328, 0x7ef4eea8, 0xf9d1f125, 0xf55b1d68, 0x5eb0a1af, 0x72402b2d,
+    0x00000000,
+    0xa01a44f8, 0xe82fc71e, 0xd8e0874a, 0xe4637564, 0x373ef8ad, 0x500d121f, 0x7a776f88, 0x62902d0c,
+    0xb357830d, 0x1f97d4c9, 0xe390ce80, 0x6283a147, 0xfbd6de6c, 0x5d336139, 0xf4cf238a, 0x3d5f79e7,
+    0xcc04ae92, 0xc99b7f9b, 0xcfaf59a7, 0xf9fc583a, 0x684da58e, 0xb2febbae, 0x326e5371, 0x89e8ae75,
+    0x1167a70a, 0xa67acaf9, 0x7e196258, 0xa826edee, 0xd2232ecf, 0x79149497, 0xc688bb49, 0x198625b5,
+    0xac134264, 0x18134a00, 0x86f00ced, 0x6a403212, 0xe7bc7f46, 0xc8aab4f6, 0xc3a8c398, 0x354371c2,
+    0xe8ddd7e9, 0x83a2f38c, 0xb92416ee, 0x96167a08, 0x63155d3d, 0xfa723247, 0x28f4ab42, 0xcbb0cc4e,
+    0x238c2119, 0xf2d7728c, 0x0b77bdbc, 0x00324dc6, 0x8914aa71, 0x725cdec3, 0x18f7a87f, 0x2ddf1636,
+    0xc845655a, 0x812588ce, 0xbf8ddffb, 0x51f681c8, 0x7cba741e, 0x190b58e6, 0x901c58ba, 0xc231dcd7,
+    0xd8ac3855, 0x84132b7d, 0x1217b6c1, 0x4f2667f3, 0x18275287, 0xc5e7d883, 0x985fbc9a, 0x247e0f82,
+    0x2687315f, 0x93d3fa1a, 0x4552583f, 0x378d40cc, 0xfdd4ba0b, 0xdaae4b36, 0x12a343e0, 0x8e67961b,
+    0x3fe4dabe, 0xf4b54cd1, 0xea5fb258, 0xe5d2fcc9, 0x0f65013c, 0x5377c5a5, 0xc8d19e31, 0xdd0b1f70,
+    0x4f93d52d, 0x90f38f18, 0x7f3d2e62, 0xffdc81c2, 0xb91bb10f, 0xb0dd1b0c, 0x38cb3b1e, 0xeb28633d,
+    0xfc71bb32, 0xdf386b1d, 0x6865c85f, 0xc7274013, 0xf23a3d99, 0x934604d8, 0x58745987, 0x840def51,
+    0x05cd820d, 0x5a9bdc1b, 0x07b7883e, 0x17acd7e0, 0x5adcc1d1, 0x1d89e6ab, 0xbc5ca391, 0xc2acc7fb,
+    0x920e09d2, 0x47988445, 0x7d09ad3e, 0x31dcb83f, 0x4940efb5, 0x54a03c17, 0x98cfc7d6, 0x0398e1c6,
+    0x039cc7cb, 0x19726a4b, 0x241e2ab6, 0x3c56a8db, 0xe9848652, 0xf6b69d31, 0xe98552f5, 0xb29d372d,
+    0x0262d4ab, 0x74c04ae6, 0xe46986ac, 0x83920e26, 0x29b375e7, 0x79c64add, 0x549eac23, 0x3175d1ff,
+    0xa158e495, 0x11c54c6e, 0x6d0a9348, 0x3a3a1215, 0x14512e8e, 0x97565fce, 0x388fc8aa, 0x4fdf1ac4,
+    0xcb391fd1, 0x3da1f589, 0x83540926, 0xef9d2efa, 0x6dc8f9c3, 0x314a485b, 0x44375dc9, 0x6c0df8c4,
+    0xe2bffd1d, 0xd98e52e5, 0xdefd0f9c, 0xa687443c, 0xbde315fd, 0x7a3eeb94, 0x4711273f, 0x80969422,
+    0xb0946f14, 0xe520dd05, 0x292876f9, 0xf4947de0, 0x19a9e906, 0xb5339247, 0x50861e68, 0xd9e48381,
+    0xcaaa6cec, 0x29422ebb, 0x1879a663, 0x5f9770c0, 0x4e640a01, 0x2b7be7fb, 0xfe392acb, 0x1d2f5bc5,
+    0xc6f1f357, 0xc4ed16d6, 0xf1275c5c, 0x67121337, 0x56009144, 0xc7ce694e, 0x6aa26c42, 0xab733341,
+    0x5b38337c, 0x0680c556, 0x7584bb9f, 0x6de5c5eb, 0x16151230, 0xb4d40a85, 0xa2d830b1, 0x0a05ad96,
+    0xaca51ea5, 0x61e62332, 0x04d76d11, 0xacf3067e, 0xb651a0ee, 0xf0b242d5, 0x8e75b36f, 0x09608d79,
+    0xcdae6f6d, 0xd795e7bd, 0x527e0f9b, 0xe590eb4f, 0xea45ed66, 0x4b369c8a, 0xc24a9c88, 0x1ccd03c3,
+    0x7861b48d, 0xb4bd98cc, 0xf48d8d26, 0xc9bde655, 0xb9de7de9, 0xb098d372, 0x95df80b4, 0x820b18d2,
+    0x4803cc24, 0xc193c6d5, 0x6846cfd1, 0x3d676b17, 0x5da31f1a, 0x334df63e, 0x96db7b65, 0x87036311,
+    0x65470163, 0x11fd0888, 0x767b7c57, 0x0a059947, 0x8a2b1710, 0x1236bbaa, 0x23f8624e, 0x98a25227,
+    0x420bc1cf, 0x8aa8039b, 0xc77d1e46, 0x5b183e6c, 0x7e5ff17b, 0xf5c91ae5, 0x82151c23, 0xd68b19ff,
+    0xe8a67cca, 0xf1e1344c, 0x493a4d6b, 0xa3886c03, 0x0be9bfbe, 0x28f55729, 0x0005c3b2, 0x85a5ea6b,
+    0x0a57b5f3, 0xe2e67bb3, 0xaa425223, 0x09d15d03, 0x3b03fa73, 0x57483529, 0x197c5aa2, 0xd8c61bc8,
+    0x4b55e4dd, 0x151918c8, 0x70d1cdba, 0x760712c7, 0x4abbc97b, 0xaeb7c4c9, 0x5708de02, 0x08622b0b,
+    0x0093675c, 0x900de6a4, 0x6e72ed4c, 0x8c6ee414, 0x639aca60, 0x9c673d31, 0x0d4ca629, 0x07d0312b,
+    0x85fcc1d4, 0x9ec15345, 0x739b53f9, 0x1da1d238, 0x693a32ee, 0xb2cb04c1, 0xf1982d3b, 0x81a49220,
+    0xe2a670f5, 0xd337f1eb, 0xb93d66dd, 0x8af88eef, 0x23655e00, 0xd551ed95, 0xce35353f, 0x5be701b3,
+    0xc33f387d, 0xf0b54443, 0xd4deba42, 0x5ecebec7, 0x78990c54, 0x1753654f, 0x3bd445bf, 0xa153329f,
+    0x73c9ae08, 0xd48952a6, 0xa57c0f85, 0xf448bb85, 0x4705f7a0, 0x7eb209cf, 0x42b6de4d, 0x97ba29a0,
+    0x48e81fec, 0x2743b367, 0xc2fca678, 0xe6ce02d6, 0x17e2d7d1, 0x11e189e7, 0xd859bbdc, 0x6a7f6ff3,
+    0x42d52386, 0xabed0d1e, 0xe926eefa, 0x677993d3, 0x052b09fe, 0x56682d0f, 0x5a144973, 0x13bf36de,
+    0x7794af30, 0x89db971f, 0xc3dc7011, 0x78e8a4a8, 0x4b4cebef, 0x5d4abfac, 0x7c37fbbe, 0x2ee9fd6c,
+    0xa6d72d90, 0x89973e4b, 0x4f8e9938, 0x0223245b, 0x99e9eab5, 0x04c110c9, 0x4d350bec, 0x76013c0a,
+    0x91ffa3e6, 0xa889f5cb, 0x5a0f7773, 0xf97b0c9c, 0x045f5d8d, 0x7d6be773, 0x312196f2, 0x4198d49d,
+    0xa5d31ac4, 0x6466e699, 0xc83eae6e, 0x572a205d, 0xde3b2edd, 0xa64b7ca3, 0x51e8eaed, 0xd1bc915b,
+    0x08c34a94, 0xeb74e206, 0xaf154dc5, 0x61292c19, 0x628af436, 0xc253079c, 0xa78a9282, 0x666cecba,
+    0x628404db, 0xeb751061, 0xce1082f6, 0x854e473b, 0x2b04b363, 0x2342c756, 0xaa99aa6a, 0xe515c4a4,
+    0x5085fc23, 0xd3c455e8, 0x20b4c507, 0xe9170daf, 0x21bb02e5, 0x553a37b9, 0xc858927c, 0xe0cbc594,
+    0x11cbde28, 0x836a3363, 0x7f483a1a, 0x9404fe49, 0x394d31e4, 0x655d691c, 0x9898ae64, 0xeba30103,
+    0x988ed17d, 0xc19d9f4e, 0xf300ee62, 0x20e647dd, 0xc67ddab1, 0x2cbae4cb, 0xe66b51dd, 0x2fc541a3,
+    0xb0a92f86, 0x8fb3458d, 0xabb824f1, 0x4a4b75e6, 0x99ff1ab4, 0x8811ca9d, 0x4d9d2ce4, 0x55a60cd9,
+    0x9950e8c1, 0x890032ac, 0xb51d67d6, 0xbe3cbc18, 0x12abde2e, 0x52831f4a, 0xd32db898, 0xf86ae107,
+    0x49e68cea, 0x2c0faa87, 0x8dc8c74b, 0xfae213d1, 0x36c9e876, 0xc254c539, 0xf03c5ad0, 0x8193e865,
+    0xcbe140ab, 0x461cbdfb, 0xfc72e00b, 0x36657917, 0x7b4cc3c5, 0xc58a36ab, 0xba4f1d59, 0x56ab58d0,
+    0xc52da0d7, 0xd687312b, 0x78462519, 0x2e61d810, 0x73291cc5, 0x86fd067a, 0x2e0d199c, 0x80f347f1,
+    0xd9200d68, 0x52781aac, 0x2661faba, 0xc17ab97c, 0xf8e5d5f9, 0xc4aa9cab, 0xd5a7379f, 0x713c86ab,
+    0xb591bf87, 0x06216764, 0x34d0aa94, 0xd9104466, 0x8097218e, 0x6b20f015, 0x85aae806, 0xba3cf4ed,
+    0x0b72477d, 0xc25252e3, 0x54a61b64, 0xd6745d95, 0xccded018, 0xf618812a, 0x5c8453f0, 0x904cc485,
+    0x72e1377e, 0xd05a7b22, 0x45a240e6, 0xebc1f085, 0x847e6f81, 0x0b5a9887, 0xf48f92c5, 0x6c6fd614,
+    0x1884298f, 0x5c0a2594, 0xcae874d0, 0x537719f6, 0xf6fc5f15, 0xacf1c1a8, 0x181f8929, 0x30f0f6ef,
+    0x2be651df, 0x2f6e055c, 0xfc6b4133, 0x1159e593, 0xa86e5c26, 0x4a355a1e, 0x345fde51, 0xe97d0310,
+    0xbe68eb70, 0x68cf9688, 0xe4a229a7, 0x27e9bfa3, 0x2d1888b2, 0x3f1a005a, 0xd92faa37, 0x019b0ada,
+    0x74cd24e6, 0x99237710, 0x3b2ce398, 0x0cc3fb2b, 0x3d484d06, 0xd33ef3b2, 0x63da799e, 0x1a14532f,
+    0x8e2f68b1, 0x38924be1, 0x264d0e1c, 0x6a2753bc, 0xfd2e5ba9, 0x727a0b56, 0x46e746c6, 0x401bf4a8,
+    0x93bb969b, 0x05d44c3e, 0x4e9b1947, 0xd01679f4, 0xe2f1a118, 0x30ba4064, 0xbdd6195e, 0x0e932bcd,
+    0x4ef039bf, 0xb09c51ea, 0x00e10610, 0x7ff70657, 0x36162b0c, 0x4357e74d, 0x0efef586, 0x027b1137,
+    0x09713d3e, 0x84b7dc62, 0x0de14ffd, 0xb841f622, 0x6a9425c6, 0xb6decbf8, 0x9bfc0499, 0xafe30c38,
+    0x47c7cc56, 0x1991be9f, 0xe01de162, 0x6efa9774, 0xd4a2eb8a, 0x1882bbf1, 0x657cfe5e, 0xef02383a,
+    0x497b12b5, 0xac773807, 0x8515936a, 0xebd48fdc, 0x02c91c5c, 0x9432b781, 0x20050a73, 0x255c2b9e,
+    0x3f8e83dd, 0x9c1dbce4, 0x9bd10784, 0xab75d0e7, 0x1d5ed6d8, 0x487228ec, 0x0e552b6d, 0x8fbab2de,
+    0x19247bfe, 0x0bf7f96f, 0x9c396432, 0x5c063658, 0x2d9346c2, 0x69a3a471, 0xa43174d7, 0x44d0a02e,
+    0x7feac31e, 0x363d565c, 0x21814360, 0x1c4067c6, 0x559b76eb, 0x561a9534, 0x5eab90a4, 0xe101ee8d,
+    0xc49d9283, 0x9b20ccc1, 0xe4557a0e, 0x3d7c3060, 0x4bdbf1e9, 0xc0c64ec3, 0x4ff4e634, 0x382dd200,
+    0xb383303f, 0x6b7fd22c, 0xd38665bc, 0x38035dbc, 0x73ee330d, 0x58694650, 0x44b36ef0, 0xe1036717,
+    0x7294cddf, 0xc722cb6e, 0xcf9964c5, 0xda4abfed, 0x22aba165, 0x23094355, 0x4e240ee6, 0xc56bf0bc,
+    0x98f5c25c, 0x3d5cf45e, 0x62741ee0, 0x23aa0db2, 0x654cab43, 0x5468ce21, 0x7e669876, 0x87ecb25d,
+    0xb4fec326, 0xc8847403, 0x70af1eb5, 0x68ff21b0, 0xe17cf0e9, 0x47cc3173, 0xb80e7dee, 0xde25eaff,
+    0xc3d727cc, 0x68a0bb22, 0x55d58dc9, 0x7e4da8b1, 0xd9f3f328, 0x302f34f6, 0x91e0b4ed, 0x4845ccff,
+    0x6150ccfa, 0x1876e8b6, 0x47e4da1f, 0x40e23b0d, 0x0437801a, 0x8c75971c, 0x51756a6b, 0x864aaabf,
+    0xb023dbc4, 0xfbe6215c, 0x634eb4fd, 0x1a479f8c, 0x06857ddb, 0xeb7fe36b, 0x1f5f8525, 0x3e3e5de6,
+    0xbdeebc68, 0x24150a9e, 0xfad2f5b1, 0xcd26e788, 0x01baaac3, 0x61bb68ed, 0x69302759, 0x6d8e8317,
+    0x294f4e2d, 0x3dcf2769, 0x1008d955, 0x56772ddf, 0xd12d8e98, 0x9839c906, 0xee0f11b9, 0x297a7b4c,
+    0x890b0223, 0x3aafdd2e, 0x22cba70e, 0xbdb489c7, 0x34873e51, 0xc4aae174, 0x4eea97be, 0xb6c9f39d,
+    0xf88fc2c9, 0x09e48e1f, 0x189b21b2, 0xf9998997, 0x01b4dc9c, 0xfd35e0c2, 0x4204b91e, 0xfe25df21,
+    0x30029483, 0xda27cfe6, 0x97d832c0, 0xbf7c49b2, 0x859d21b3, 0x1215d7c1, 0x6dad48b6, 0x16a4dbd8,
+    0x4b8728ee, 0xc29e5f64, 0xfe768e90, 0x26ee82d6, 0x09a7b926, 0x4ac4b1bf, 0xc175525e, 0xc5b28650,
+    0xb0fdfcd4, 0x42c22a7b, 0xac6f674b, 0xa0ed1fa9, 0xd4155972, 0xa24d79b0, 0xd55ddc77, 0x68090410,
+    0xc418f9dc, 0x29c672e0, 0x30ebe698, 0x0b5506fb, 0xee9752c9, 0x60d51acd, 0x1a0eedd0, 0xb009d062,
+    0x0f989a6d, 0xe8c6805d, 0x052a6a17, 0xa0855617, 0x250a8911, 0x2ffc56b4, 0xeb8f2ba4, 0x915f98d1,
+    0x5b4c7960, 0x45f1e770, 0x287fd1e3, 0x87a6447c, 0x8d25ede9, 0x89e342f0, 0x7d1e878a, 0xd525e445,
+    0x8500891e, 0x56bb8306, 0x719659d3, 0xf53b5887, 0x9ed6baf7, 0x2793ff39, 0x86e83415, 0xd13c3be0,
+    0x8724beb2, 0x61c7e060, 0x18550ff1, 0x54bd7ca7, 0x48e2a4e7, 0xd8bc2d26, 0xcd8adaf3, 0xedf929a1,
+    0x00567c1f, 0x9e468996, 0x366e848d, 0x2a19790d, 0x0b8cb9a9, 0x9eea7b16, 0xc4c408f6, 0x91dd4117,
+    0x132c8397, 0x33ca2dcd, 0x59d5706a, 0xe2a0591a, 0x5c26f291, 0xc44f247c, 0x40b358a5, 0xe5722e68,
+    0x6de72da5, 0x06111825, 0x974b10ec, 0x30cced2f, 0xa7df94a8, 0xd773f91b, 0x16e5f434, 0x65cf3697,
+    0xde8185be, 0xf6a01452, 0x93772cd7, 0xafbb272b, 0x9e15916a, 0x3d646e0c, 0xf57c6033, 0xc797a6d7,
+    0x90ee1711, 0xce29c777, 0xf607f468, 0xbdf9f691, 0xbc70fb7e, 0x22d08eee, 0xb32b16f2, 0x5c992c67,
+    0x635d4381, 0x38000afe, 0x60a90f47, 0x8b78fad8, 0x027c2cc9, 0x35b9d2fe, 0xa9418900, 0xbb9152ba,
+    0x09b001f1, 0x4745f75f, 0x51edb511, 0xe331cda3, 0xae87a1cc, 0xf999d588, 0xd47d0f54, 0x2a33d2ad,
+    0x6f08904e, 0x9312c32d, 0x4e20e32f, 0x3ad6a07f, 0xb1035f10, 0x26d21da0, 0xe236b9cb, 0x91cd9457,
+    0x9abbb615, 0x967be8e1, 0xbf83bbe9, 0x9e7f893c, 0x517e1b79, 0xea207cd3, 0xbb6ba93f, 0x349cd93a,
+    0x00e6c9eb, 0x9a6a63e6, 0xe8c2c6c2, 0x982b51be, 0xb907a546, 0xca7c8b02, 0x624f2017, 0x2484d4f5,
+    0xeee4b9d0, 0x28f7409c, 0x4bf5d7a1, 0x18f6b2ed, 0x68bf62d2, 0x1c9797ae, 0x1e8e310a, 0xae29bbf1,
+    0xc77d8aa2, 0x801cbcf7, 0xfbf73f4e, 0x79d1e846, 0x199d5869, 0x93f7da92, 0x8b911ac6, 0x7f161212,
+    0x162e2a98, 0x5307aab8, 0x4c43b635, 0x3382f74c, 0xc8c61403, 0x808b1b4f, 0xf4e324de, 0x90cec661,
+    0x2754dd32, 0xa1f21598, 0xe3b8adf4, 0x43fc516c, 0x54cfec05, 0x58417ea0, 0x2a6cd1cf, 0x2ba35ddf,
+    0x142d2c7e, 0x8e7e7e1e, 0x848ee540, 0xb4e806e5, 0x6bf54c4f, 0x81fc0c44, 0x2d70b96e, 0xcbf0a326,
+    0xd621f46a, 0x1f605136, 0x2c0204ac, 0xda093025, 0xe55f3766, 0xf56b5d76, 0xe8990cd1, 0xd49f5c72,
+    0xe897bdd2, 0x137a7763, 0x8854d463, 0x7ccbdc2a, 0x654b3c1d, 0xf449a5e7, 0xf1426815, 0x03f9092b,
+    0x19afb86f, 0x89dc2bc3, 0x2ed71b0d, 0x13a09b40, 0xf3c85239, 0x0ce049ca, 0xc065f47a, 0x5931f6b9,
+    0xbc669603, 0xb8552e84, 0x1dba658e, 0x69deb081, 0x73f94038, 0x0c115f60, 0xfff51634, 0x977ca7fb,
+    0x636080e0, 0xca29e293, 0xcc5d0aef, 0xf3be5c24, 0xceedcede, 0x72f2bbe9, 0x140a9441, 0x7428dd83,
+    0x21c5bba3, 0xca14a0e3, 0xcce42061, 0x6d5bb3f6, 0xbb99ecc6, 0x1ce3b45d, 0x7cc2a49e, 0x6273c8eb,
+    0x4a64ef9f, 0x4450b92f, 0x19c62395, 0x761b9e61, 0xf336b676, 0x4701b9c7, 0x14911a6a, 0x19782aa2,
+    0x3ac2fc88, 0x8c9efd1c, 0x1c984dc5, 0xe973beb8, 0x3e25967e, 0x165a763e, 0x4ad0ce66, 0x4feeaaee,
+    0x628ed262, 0x1ca044ca, 0xbe5fd234, 0x81c6874c, 0xffc1d3fa, 0x8ca1d16e, 0xa8c6395b, 0x3710f5eb,
+    0x1bcfb4fd, 0x2ce54453, 0xe118d5c2, 0x4aa56f9d, 0xc1cf3e0c, 0x69421636, 0x95314e77, 0x0292b85e,
+    0x5e0c53cb, 0xb1d85106, 0xbd0f2ff3, 0xc5f627ae, 0x4d2662b0, 0xdefdd3fd, 0x4d81a141, 0x89e01e5f,
+    0x8d4a343b, 0x190b33da, 0x2546a94c, 0xb6c7a4cb, 0x60524866, 0x9b80bc90, 0xd700acdf, 0x58aa2ab6,
+    0x62f91075, 0xdd52bbba, 0x3abc6446, 0xabfa3416, 0xfe5243cd, 0x05c1c208, 0xb57f33b6, 0x45390221,
+    0x7fcf222a, 0xb56dd223, 0xcfcaf8d3, 0x8c349c56, 0x52c96012, 0x0d64b83b, 0x796405a6, 0xd92eca68,
+    0xcef04b70, 0x7fc44279, 0x3078fc45, 0x58d0615b, 0x0c7b6932, 0xaed4995b, 0x6a96efe6, 0x9a2b7457,
+    0x498b3d7c, 0x5736faca, 0xa218939a, 0x53d42af0, 0x718c238b, 0x7e9dc3f5, 0xfb30b862, 0x04905627,
+    0x0a54541e, 0x698cb46e, 0x9f0f582e, 0x671d7cdd, 0xcf1cfa4d, 0xa844e849, 0x6af600dc, 0xbacd2233,
+    0x13573074, 0x961c5b1b, 0x2329e351, 0x33194947, 0x8cb0f744, 0x239b5b0b, 0x82f6bf8c, 0xe17985af,
+    0x06fdfd4c, 0x4214ccb4, 0xf28e7f8e, 0x4f1efafc, 0xef2435e6, 0x9a7f7450, 0x1656fbd1, 0x80c92bb4,
+    0x654cef39, 0x969b831e, 0xbd0f2f64, 0x45cec654, 0x356be41f, 0xa2d3ca1a, 0x016f8019, 0x6f5a76cf,
+    0x00000000 }, /* 10**00000000000000000000000221813575529665188766273134731446696274914966030065326\
+                         01363836644916970462445004984319795248833116624779129687691228574631793262592 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece,
+    0xb53a46da, 0xb2020b9e, 0x16741994, 0x3f7a7754, 0x7ce8f892, 0xfaad8eb4, 0x2f5850d7, 0xb9201596,
+    0x00000000,
+    0x8f277be1, 0x18ac1fc3, 0x1a6f255c, 0xa7f0797c, 0x71d229b3, 0xed9bb8b1, 0xf380dcd5, 0x2cbb77e5,
+    0x20928356, 0x848fce07, 0x65f11ef0, 0x37dbaf16, 0x9d54df99, 0xcddc4bff, 0x31f43b6d, 0xc90e5b4f,
+    0x715b32bc, 0x41e28912, 0x8a6785c3, 0xdff17d73, 0x98cd5473, 0x69cd6716, 0xdd63ca6a, 0xa2973cf2,
+    0x3096366f, 0x6c589e09, 0x1780da0a, 0xce048f1b, 0xb2342c2c, 0x33f88a55, 0x2478523e, 0x57065c3e,
+    0x6c761aee, 0x9a2d264a, 0x082905d2, 0x518611a9, 0xe80f2697, 0xc1796bbc, 0x8a08a98c, 0x8f8d2e33,
+    0x2736dc8f, 0xf4deadb8, 0x0ca866ee, 0xbda5bf7e, 0xb4fa71e6, 0x629157e5, 0x7a82a79c, 0x4b23bdf4,
+    0xea51ea8c, 0x35ac7354, 0xb65a2360, 0xb318ca90, 0xf465f2fe, 0x135f5fd4, 0x97b4bcf1, 0x632ba653,
+    0xac2d3251, 0xfc421a3b, 0xc672a34d, 0x66471a42, 0xe7dbd2ec, 0x1f905e4e, 0x28bb7f5d, 0x13070e90,
+    0x07d53091, 0x46084b04, 0xdf3dc08f, 0x43ac6f8e, 0x94dcc303, 0x1ca56862, 0xdedcadba, 0xd9d1caf1,
+    0x0efe3b8c, 0x706cd75d, 0x8a0f90c0, 0xe3ddedf7, 0x7a32e533, 0xe6e8a309, 0x48e08928, 0x8c198693,
+    0x6836e60f, 0x0a3b7578, 0x8fc324ad, 0x8f97496b, 0x4d8c1822, 0x8f5c46fc, 0x8be47ec7, 0x01865f05,
+    0x33425a6a, 0xd959a7d0, 0xf3f4fbfb, 0xb4f6fac6, 0x5c774933, 0x98ff34b6, 0xc21cbb35, 0x4747e331,
+    0x0bf6a5d9, 0xec8654f8, 0x12fbed64, 0x1a9ad91f, 0xb8c100a7, 0xfe852937, 0x32be98df, 0x40659697,
+    0x5a02b20f, 0x26401dcf, 0xbd41fab2, 0x63a2e755, 0x4e74d851, 0x8ca50170, 0x57f803c6, 0x382754c0,
+    0xfa56c5eb, 0x4ab8b360, 0x07911be7, 0xbb51e3fc, 0x4cd908b7, 0x98146d0f, 0xadfba6a5, 0x5d4efaba,
+    0x08a0d36e, 0x18069f57, 0xb40a35df, 0x5249b3fa, 0x0f25f5f7, 0x2a1599f2, 0xd2e51ccf, 0x056a8ab9,
+    0xe05e9e22, 0xc0a48498, 0x60dc970c, 0x86077282, 0x8ca0f1e8, 0xc7133729, 0x0f751192, 0xf31d902f,
+    0x993485ba, 0x2da0336c, 0x5424be9e, 0xc8797beb, 0x57ae67b4, 0xdfa4992b, 0xb60950b5, 0x736d5195,
+    0x094fe0cb, 0x0e68e2da, 0x28707342, 0xd745b6a1, 0x3b183885, 0x3612fd52, 0x93b97c99, 0x11499b52,
+    0x2b2d5c72, 0x8b66e579, 0xa1a233de, 0x69f74a02, 0x6e44234c, 0xc56f63be, 0x90d832d0, 0x24a77292,
+    0xac7347a6, 0x9e5fa86c, 0xd0652307, 0x82dfe04b, 0xbd714a24, 0xfd76d52e, 0x5719f574, 0xbbf84766,
+    0x449d998f, 0x70c9d5c7, 0xd927293f, 0x36900696, 0x4b3008b6, 0x82842c05, 0xfb8f5073, 0x36b8abf6,
+    0xbad1a4c4, 0xe1873230, 0x28511b7a, 0xbafd9659, 0x16e2f0c6, 0x8d6930c8, 0x19680367, 0x63aaad46,
+    0x2555dafb, 0xc31f2985, 0xe1e1d0b9, 0x02b46770, 0x02044293, 0x6043e322, 0x850fd3f5, 0xa00b7439,
+    0x98c436c8, 0xf964a8cd, 0x7b07f965, 0x802cc344, 0x8d887113, 0x19a3f848, 0xa6b7aee1, 0xb7d43226,
+    0x0ae20339, 0xda17a8ab, 0x469604d5, 0xa807617b, 0xeda8af88, 0xcf0634c9, 0xe743dbed, 0xbeeb8ac7,
+    0x786d73b6, 0x872d2749, 0x28c49652, 0xab57499f, 0xd9d6c57b, 0x0447e166, 0xc26269a3, 0xce3085ec,
+    0x31bc84a0, 0xd67a6b48, 0x892f4a80, 0x0c03ae3c, 0x7f1425bf, 0xcb583725, 0x71d14af0, 0x4b2827e1,
+    0xaabceda0, 0x6743ff67, 0x80757786, 0xec6864e3, 0x8c77d925, 0x76fe0009, 0x00fca36f, 0x9f06274b,
+    0x85530691, 0xc0b40b6f, 0x746573c9, 0xcdc7d8d3, 0xff61428c, 0xac1140f4, 0x75452410, 0x4831fef6,
+    0x39775505, 0xdf3fff5e, 0xc76a03ae, 0xb3cc6f5c, 0xdafe5574, 0xe379ce23, 0x24d859cc, 0x07b62ccc,
+    0x22c97a1c, 0x1a634f3e, 0x1b574c9c, 0x5725fdd2, 0xc52f2236, 0x8772b5f5, 0x74d32e6c, 0x9f92dfaa,
+    0x52f7b41f, 0xa154966c, 0x8b1c1619, 0x833ac76e, 0x6af11501, 0x7d2fd5e2, 0xdd4f8b23, 0x3cb6474e,
+    0x25e32f26, 0xc43ef82a, 0x09fc5629, 0xf70d8a44, 0x7e39916e, 0xf9b38a8a, 0xbfeb0426, 0xd74fe1cb,
+    0x9aa19e95, 0x7522113a, 0x107c69eb, 0x3f1443c8, 0x3b0aac14, 0x79678a1a, 0x2b7702b3, 0xcdecb7d8,
+    0x97e531ca, 0x99dcac70, 0x7add9013, 0xd2faa103, 0x19e4e112, 0xc071a00e, 0xd309ed28, 0x6be35441,
+    0x1c24b6e6, 0xabc27c51, 0x8740e998, 0xf15e2f53, 0xaf2c4b2d, 0x08e1ad2b, 0x2b196a2e, 0xa465c180,
+    0xdaada10c, 0x8064819a, 0xb65c8755, 0x208609b5, 0x3a351379, 0xdc55bdb4, 0x93438991, 0x1c17a453,
+    0x727d381e, 0xc6a43719, 0x09cb4cf7, 0x5ac200a9, 0xdb7d328f, 0x69bf9c90, 0x2d054796, 0x88f941d8,
+    0x2393f665, 0x0e9f7969, 0x5cd4e113, 0xcbac9025, 0xe48eab7b, 0x69381e28, 0x74e876ac, 0x43931c36,
+    0xbffbc57c, 0x953b5922, 0x9b3d9ce8, 0x94f95c9e, 0x573e24b3, 0xa6afd829, 0x17893cf7, 0x6f63dcd5,
+    0xc8c83f52, 0x24f51c0a, 0xd9b7f4d9, 0x34750e45, 0x5d8d35dc, 0x2b18e6e5, 0x7159db75, 0xb60abf11,
+    0x81ef1a5a, 0x9b4410d3, 0xd6de711f, 0xa91a5054, 0xefa6644e, 0xfeac5765, 0x6de6255f, 0x2ca32fdd,
+    0x02113cfd, 0x5d11c36c, 0xdd7b1e79, 0xe8614745, 0x365f4a21, 0x140655d8, 0x74ce1877, 0x4537ca18,
+    0x30184a9e, 0x1e22e345, 0x1d01edf6, 0xd401a4c5, 0xb5fd80a4, 0xfe35a0b1, 0x484ab13e, 0xc7fd9f74,
+    0x5b83ea8d, 0x33194cc1, 0xebcc8ca0, 0x497cdc7d, 0x010eb999, 0xf55b2044, 0xa513aa39, 0xe21a4dba,
+    0x1299ec4e, 0x4bcac393, 0x8bf445a7, 0xb77d0d6d, 0xa2137815, 0xe23821b2, 0x797bb27a, 0xd61338c6,
+    0xdbebbc5e, 0x4bdbf1cd, 0x1a4f26ba, 0x53acf986, 0x213fd0e6, 0xb92c59ee, 0x3603fc02, 0x12d45e75,
+    0x574e289a, 0x13ec2deb, 0x86d14c8c, 0xe3d2890f, 0x2d29cdf5, 0x5ead2466, 0x852c0ee8, 0xc5641740,
+    0x4c44d1e9, 0x6bf5604a, 0x27441c1c, 0xd0710fbe, 0x96b8a7a5, 0x9685950e, 0x03f3237f, 0x1b1e6e70,
+    0x6fc8a907, 0x42e22ed2, 0xa159eff9, 0x56d617a0, 0x5e40bf56, 0xddde5cec, 0x122a17a4, 0x6c4c8e0c,
+    0xb57e9363, 0x979927f5, 0x67222c5b, 0xc1259c39, 0x97a33cc4, 0xe9dd2348, 0xc500f664, 0x640518d7,
+    0x6c918fc7, 0x428f349d, 0x4b8e9cae, 0x3d2fd6f2, 0x1a4013a5, 0xacbeb503, 0xbeeca13c, 0x71230951,
+    0x8e9e1c9d, 0x866b3190, 0x8eec897c, 0x9c5171d7, 0xab2915ce, 0xa6b1fef0, 0x48d9422b, 0x325feec1,
+    0x3977b500, 0xe5129c98, 0x09fd6fe9, 0xfe57625b, 0xe5afff75, 0x919c3920, 0xf9ef25b4, 0x59cd2296,
+    0xaa4541d7, 0xa11cb630, 0xd895d8b8, 0xd14c5c43, 0xd3c30b4f, 0x8f2bd21e, 0xc85f6f11, 0x927c876c,
+    0x23bdd0f5, 0x7afb1436, 0x31d9391b, 0x5e65687d, 0x70334829, 0xffd4ccc8, 0x6eeb6b1b, 0xa0054a48,
+    0x409c99d5, 0xb12dfb67, 0xec23d73f, 0xc3c2be0a, 0xaf7468a5, 0xa95e750e, 0x56aec11d, 0x22912276,
+    0x7669359f, 0x3dc3ee79, 0xc40c9c4b, 0x58c6bb07, 0x06b60414, 0xc275752f, 0xb838cb35, 0xf5a40abe,
+    0xb171a154, 0x13acdfaf, 0x1b4bc962, 0x362b2e4c, 0xf93a77c3, 0xe5f88a7d, 0xe6d7b947, 0xe8277b02,
+    0x6077f3a4, 0x872f6a1e, 0x41a5cf7d, 0x284daa8e, 0xd8d1fe42, 0x81e927dc, 0x5e324251, 0x8bd757fe,
+    0x8cb3f72c, 0x7e6b9ff0, 0x474601f6, 0x1d7f7f36, 0x7b3495a2, 0xfc9f9b8c, 0x69e73cfd, 0xfc7bb0dc,
+    0x29d407d4, 0x01d30cee, 0x08b74adf, 0xa0763e7e, 0x45bd7e0a, 0xcb8da049, 0x9a4102bf, 0x7dbd0c9e,
+    0x7eeb7399, 0x3e856e3d, 0x204f80f1, 0x3e6c430f, 0x2899ac20, 0xf892870b, 0xd164efd5, 0x92626818,
+    0x59eca59b, 0x2b558348, 0x6c2a2918, 0x525b42e7, 0x6cf9a2bf, 0x50ae609c, 0x3150876d, 0x9c1607fe,
+    0xaf433802, 0x1a0cbf8a, 0x1e7c3f97, 0xa206fbe6, 0x11df996e, 0x85664cb4, 0xe1099371, 0x24706127,
+    0x9ff056e4, 0x7a907b90, 0x6ba1e04e, 0x3df0456f, 0x941c814d, 0xb2657aef, 0x33aa0aeb, 0x7fb318cd,
+    0x4f77c478, 0x35817966, 0xaf0512f5, 0x9b61df4c, 0x984f46f8, 0x0c7f0509, 0x4a1f4f8c, 0x137011e2,
+    0xb8afef7b, 0xc7590c31, 0x619d1c88, 0x2f825a0e, 0xac842fbd, 0xd4ca7fdf, 0x7d0d5a99, 0x66496057,
+    0x3c49245a, 0x43b33500, 0xa29bae15, 0xc7ee8b99, 0x1f328360, 0x0087798d, 0x194ec0a5, 0xdb0d503a,
+    0x79f4ef07, 0x543d0c0e, 0xccdc8e5f, 0xecb9fda2, 0xcc7f8324, 0x00f10036, 0x33db896e, 0xff52b653,
+    0x811253d0, 0x77a53796, 0x32191bcf, 0xb597d998, 0x34335ebb, 0x3c0b8ff7, 0xe3b345a4, 0x2977c40f,
+    0x82e81e1e, 0x21242249, 0x39419a16, 0x1d766dde, 0x68a25ea8, 0xf92ab782, 0x8142aadf, 0xf72ad1d1,
+    0x94b3501e, 0x37f0024b, 0xb3012a07, 0x93cca329, 0x17c40c0b, 0xde1f0ecc, 0xb19fcc55, 0xeaf084d1,
+    0xf48c359a, 0x142fced4, 0xe54acf6c, 0x7a502d1e, 0x84e10b09, 0xe3eec64f, 0x766591d4, 0x98dc3f0f,
+    0x6b0bb27e, 0xd3b64ce9, 0x27ca5927, 0xe7dbb4b4, 0x30fe2bfb, 0x749a6474, 0x9a5b6da3, 0x440c5772,
+    0x4af96b40, 0xfdb08570, 0x5707776a, 0x6ccfae97, 0x85ee28b4, 0xe32d04da, 0x8278459a, 0x517f1fea,
+    0xf8328b03, 0xd4c59408, 0x441e7ec0, 0x4c23d46c, 0xa1102961, 0x65b4c30e, 0x907a449f, 0x38126644,
+    0xdc0c89f0, 0xcf7de49e, 0x74c44173, 0xb8063ac1, 0x218ed452, 0x05780853, 0x250889c7, 0x71d8fd32,
+    0x07c18995, 0x37bd9e05, 0xee897f61, 0x71567852, 0xe47f4598, 0xfe4a9e7a, 0xb8365db2, 0x56637976,
+    0xb0eb9ec9, 0x5b7b20a2, 0x840b71a1, 0xe253edcd, 0x8e57b754, 0x4d919fcc, 0xbb31f76b, 0x421292ff,
+    0xd9396302, 0x74ec192b, 0x8355faa0, 0xebd7892b, 0xbc57e717, 0xa1f1aedc, 0x27dcfc42, 0x78c5dca5,
+    0x714dd454, 0xcb873e66, 0xdca35903, 0xe1656765, 0x45f66ba7, 0xfdeccd7e, 0x3b1fe0d0, 0x12d4dad9,
+    0xd2942386, 0x049c17b8, 0x747b8e2d, 0x0be5ff29, 0xd5a10a04, 0x8c87ad2a, 0xa305557e, 0x3c682bd2,
+    0x94c8ac8c, 0xfa58337d, 0x06900146, 0xcb40524b, 0x02e14f44, 0x7b770efe, 0x7abcd390, 0x5fa2ab19,
+    0x11b1a372, 0x1fb0d5b1, 0xdb2cf6f6, 0x7ac65593, 0x5e1173fa, 0xc41d8247, 0x1600e643, 0x8a7aa463,
+    0xd1481908, 0x8e1249ff, 0x199583f7, 0x90cdec8e, 0x058dfdba, 0x4da10a2e, 0xebd7f2e6, 0x168c060d,
+    0x36645ec0, 0xfb4c5075, 0x1d1f23e3, 0x8632873d, 0x259b4007, 0x472a4ef9, 0xef6e5cf2, 0x69d602af,
+    0x0778171a, 0x73e4b800, 0x8f28bde9, 0x2b25120d, 0x6efa0590, 0xb68f58c4, 0x07c30f6d, 0xbed08206,
+    0xfe0337bd, 0x7e5a40c0, 0x733c2dbf, 0xf7440647, 0x7a0a09ec, 0x9201106f, 0x0655c867, 0x6846015f,
+    0x4d2276f3, 0xe721ae8b, 0x1783be6d, 0x90887360, 0x12720682, 0x115c22f9, 0xad371c5a, 0x5aabeb11,
+    0x632d37e8, 0x708ab851, 0x1da5d424, 0xb193c68d, 0xf2660048, 0x516bb0e6, 0xa66038df, 0x41028b81,
+    0x8bc86802, 0x81a2dad6, 0x7e6e7319, 0x3af25c8a, 0x0dcc65c7, 0x66d8153e, 0x56409fd2, 0x9326463a,
+    0xb4f49ddc, 0x25ee5d05, 0x0279dd2f, 0x22e77e9c, 0xcc61e0b2, 0x16347764, 0x2c7773ac, 0xa797206b,
+    0x03ecdd06, 0x85c55d40, 0x82bc930a, 0xec35aaa6, 0x59d5ce37, 0x130a17f8, 0x186d4755, 0xbb435eae,
+    0xa7fbbede, 0x219507ea, 0xf6387daf, 0x011987f9, 0x645fc317, 0xabeef36b, 0xcbdf8a9f, 0xe2ad73bd,
+    0x7890c73d, 0x17f438f4, 0x0ddaab21, 0x15d47e7c, 0xcd649714, 0xce76f51f, 0x7440891d, 0xc1948433,
+    0x12c6278c, 0xf545f4eb, 0x1b2df132, 0x9a8550cc, 0xc7605c64, 0x806fb82f, 0x29a5e85a, 0xb01235fe,
+    0xd6a8c659, 0xa7b37e60, 0xe3890dff, 0xc724ef1f, 0xf184ef0f, 0x467c4dc4, 0xfd1f95ff, 0x92fe6825,
+    0xc655f0c2, 0x4a42e2d6, 0x4fe81f17, 0xfd141889, 0x2039505c, 0x9745904a, 0xd7db27ac, 0x0312d022,
+    0xc8ba9bc9, 0x65401cbc, 0x75eb7ba2, 0x9920f467, 0xcff9196b, 0xfffb469b, 0xa44f42fb, 0xe23147fe,
+    0xf10dd736, 0x0505a2d3, 0xd3c6da18, 0xcf4d1b86, 0x8729abd8, 0x9def40d4, 0x074090ea, 0xadb8be96,
+    0x143eca8f, 0x10b38449, 0x64d304ae, 0x6010d77a, 0xf335cd83, 0xcb63e2de, 0x0befc7cf, 0xa49513b1,
+    0xb01eb89f, 0x033a7a05, 0x6d2b5eeb, 0xefb8da1a, 0x131e0623, 0xeb0e932a, 0xc8f3de27, 0x7db11928,
+    0x9c19eace, 0x65b42e21, 0xd5d95e27, 0x193e3d6d, 0xd1ed5ee5, 0x22147a98, 0xf6810591, 0x6720500b,
+    0xdb75a30a, 0xfcf19f4d, 0x9a8d2bdc, 0x3ba76353, 0x24e4a1e2, 0x3854ff43, 0x7cd19cea, 0x64159f6d,
+    0xf735d30b, 0x03744f38, 0x9ecfa450, 0x81abb0b2, 0x6a5cf0d1, 0x03bcb49b, 0x48c185e0, 0xae7c8ab7,
+    0xc6fd60ed, 0xa7769bbf, 0x23d7c352, 0xcccfa61b, 0x09003bf3, 0xdf62d04f, 0x766b7a24, 0xee17c005,
+    0xad548755, 0xe134cc47, 0xd2680eae, 0x67388e2f, 0xa6e6a924, 0x0af9003f, 0x4667ed10, 0x222f5dea,
+    0xc7de1233, 0xf8f7c944, 0xc29e9067, 0xd484a20a, 0x5ee8a7b7, 0x8c4d1323, 0x6a97f43e, 0xf2aedaef,
+    0x349703f0, 0x88d739ee, 0x846e0874, 0x372bae5e, 0xb23d7e2d, 0x8f8afd78, 0x2e5271bc, 0x243239af,
+    0x77b519b6, 0xfba278d5, 0xe0f48bda, 0xbb425c94, 0xece16f25, 0xfd85076d, 0x1781184f, 0x1e6922ca,
+    0x56d4f27f, 0x94eb6052, 0xfeee42b4, 0x22886003, 0x965d11ce, 0x7021c93e, 0xe059937d, 0x843dd264,
+    0x0db314a0, 0x7203f7b7, 0x228b2b34, 0x5998080e, 0xc156107d, 0xbbfeb9bf, 0xd41be8f1, 0x86a893f7,
+    0x4f315161, 0xd67ad467, 0x3522692f, 0x708388be, 0x03f6cd56, 0x5320ccfa, 0x2a350bf2, 0xeb61006c,
+    0x2076ae81, 0x4197bbc4, 0x7aadd76f, 0x2649b2d6, 0x588af351, 0x36b3009f, 0xbc7efae2, 0x757dbceb,
+    0x39ab9883, 0xac1ccbb3, 0xb097c738, 0xac12401c, 0xf0b4f0b4, 0xde213662, 0x22ea4726, 0x33e812ec,
+    0xf5ce1934, 0x39066ff2, 0x909b763f, 0x8dc9bc52, 0x0f4a54f6, 0x5a6f55c2, 0x3fac084b, 0x88fa53fe,
+    0xf5428377, 0x6dae4c3a, 0x1b06a76a, 0x4bf14871, 0x237892ed, 0xd185dcff, 0x5a59670c, 0x74a68ef9,
+    0xed360126, 0x293b4d44, 0x6d0443b4, 0x2ca279fb, 0x1c9d1bc4, 0x777b0785, 0xdbc150c3, 0x4105a6bd,
+    0x945e1205, 0x9c695e9c, 0x0326a303, 0x44f096d7, 0xe2a65389, 0x42a29f8a, 0x3decd426, 0x80386fc3,
+    0x0e6f2dde, 0x483a8de9, 0x51777df0, 0xc0abeae0, 0x856a0ca3, 0x9eaa7e28, 0x77d0b20f, 0x871ce8d6,
+    0x01002852, 0xc48d1d73, 0x11140d3f, 0x51f282de, 0x027e9417, 0xc943bc89, 0xee3c63d6, 0x417bf1ca,
+    0x63846e87, 0x92c9a616, 0x6b1bfe52, 0x5e16dcca, 0x757c3f51, 0xd734a3d2, 0x48ca3de7, 0xc16c9de8,
+    0xc623b3e7, 0x819a1a65, 0x31dc9067, 0xe8141785, 0x099f387a, 0x0b434c41, 0xdae6554c, 0x6aebc686,
+    0x1d239395, 0xb1005ba2, 0xd78d8781, 0xec344755, 0x19e2be60, 0xe6317693, 0x58a5718f, 0xfd29f37a,
+    0x00000000 }, /* 10**00000000000000000000000110906787764832594383136567365723348137457483015032663\
+                         00681918322458485231222502492159897624416558312389564843845614287315896631296 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67,
+    0x5a9d236d, 0x590105cf, 0x0b3a0cca, 0x1fbd3baa, 0x3e747c49, 0x7d56c75a, 0x17ac286b, 0xdc900aca,
+    0x00000000,
+    0xbf6f7180, 0x5123ac26, 0x419aa1a1, 0xf0372fb5, 0x08edc702, 0xe747ca05, 0xf933a88f, 0x507ef12a,
+    0xedd2b047, 0x69df6f26, 0x27fe20a1, 0x3d0ec2e8, 0xd070d2d9, 0x1a7b015e, 0xa384dffe, 0x2fe0e618,
+    0x0d2bd4c4, 0x84bd7b6e, 0xca48e82f, 0xe97f0ef2, 0x2830aac1, 0x9e9d3041, 0x78ae0ece, 0x45ccfca3,
+    0x25fdf269, 0x30d25c09, 0x18469843, 0x6bdea9ec, 0x665fb82a, 0xe2ebc5cd, 0x2f8a2920, 0xa590459d,
+    0x436ed797, 0xbae768d7, 0xb35ca584, 0xede1d5e5, 0x05a8402d, 0x9554d564, 0x92aa2dd1, 0x2d408c2f,
+    0x8016d24c, 0x297054c3, 0x4a346fbb, 0xc55846b5, 0xe91bcc04, 0xd6a83ff7, 0x9120c944, 0x817e9bf6,
+    0xdd1ef5e3, 0x219f84c4, 0x702d8bd8, 0xe9fb0c2a, 0xc09384bc, 0x8a4a785c, 0xf4ddea45, 0xb23e616f,
+    0x287078aa, 0x604f028e, 0x07b85b27, 0xe69c793b, 0xad16b050, 0xae9440fb, 0x9682b727, 0x5fa9f938,
+    0x9f2cb237, 0xbd10c183, 0x6d33771c, 0xc8595e7e, 0xdd26f41e, 0xaa719a15, 0xbf6a7a50, 0x8f51edbe,
+    0x5d7f56c1, 0x067537a3, 0x57e1ff7f, 0x60e33690, 0x764e8a8d, 0x7684590c, 0xb7fe1b03, 0x3ab457a8,
+    0x0503fff3, 0xe77fb390, 0x1d0598f1, 0x0a936a63, 0xb4fe9e3a, 0x53fe182e, 0x8b776b6d, 0x779ac9a0,
+    0x8a961335, 0xb5861733, 0x37a94abf, 0x51083884, 0x569352de, 0xa179600b, 0xd82a9afc, 0x10b8cc15,
+    0x9455c93d, 0xb1d04816, 0x72cd0a91, 0xc4fece22, 0x8a9c5824, 0x603c8946, 0xd2b80226, 0x16bc96b5,
+    0xd87ec4ee, 0xded6f075, 0x04ba1c43, 0x58b567c4, 0x8285ee78, 0x9124a470, 0xe0aa792d, 0x6fec675c,
+    0xf3ef464c, 0x10aae158, 0x3d6a13b2, 0x2616cf99, 0x9e3b9333, 0xd5c960f7, 0x1e50a397, 0x23d812c3,
+    0x0a5545e5, 0xa48ea4b8, 0xd96f8cf9, 0x8fae5942, 0x049ec629, 0xea6fc3a2, 0xa0f874f5, 0x252f2e1a,
+    0x5a6ef603, 0x1ceadabb, 0x760ff4d9, 0x690af7f5, 0x2915ed1c, 0xe61a74f1, 0x0588eeb9, 0xb64fa122,
+    0xe76032fc, 0x765bd643, 0x5badf2dd, 0x061fd0c5, 0x71b01c22, 0x004e95f9, 0x13a25530, 0xc7a56aa6,
+    0x9b143e2f, 0x594b4fa5, 0xf9ac3145, 0x63d0fc9e, 0x96e13827, 0x02fc5d96, 0xbc14677f, 0x3a973ea8,
+    0x1cf69c68, 0xefd60a72, 0x2fa0405f, 0x6597a1da, 0xab1a056a, 0x170f40e8, 0x4929e3fa, 0x117455b8,
+    0xddd1c64e, 0xf0817129, 0xae19da06, 0x8f1d3322, 0x6742bc03, 0x1378b62a, 0xb12def13, 0x858c1f7f,
+    0x8a7b6c64, 0x77998318, 0xcc387162, 0x15978aa6, 0xcede8306, 0xa9ba489d, 0xd0cc31f1, 0xa076c14e,
+    0x4a76717c, 0xc0c173ec, 0xf3da04b5, 0x27878739, 0x2dd02353, 0x5cbc7072, 0x446c0068, 0xd43ec3be,
+    0x8bc5e6d9, 0x37a1195a, 0x355b8ab0, 0x5b6facb1, 0x05a43e62, 0xcd720715, 0x9982ce66, 0x25fc52b7,
+    0x0cb770a8, 0xcfbf0636, 0xa4175ac7, 0xb70d3bdf, 0x344e8729, 0x0566f99d, 0xaec0fa42, 0x8c390a7a,
+    0x9a95e086, 0xa4c8fb23, 0xee05bc5b, 0x69e835a0, 0xfaf2ea09, 0x9501a13f, 0x3ff62f82, 0x881815ae,
+    0xe3a582e6, 0xd11db02e, 0x1e049170, 0x6e810a9a, 0x30b528c4, 0x31b79cf8, 0x485ec862, 0xd77ead63,
+    0x5206abad, 0x3bd1a40f, 0xc300d811, 0xb87dadc2, 0xaacba655, 0x3086da78, 0x250d90d5, 0x41b8af70,
+    0x6ab023da, 0xba2b519f, 0x1bdcec38, 0x94f7e2e1, 0x7bdd1a9f, 0xcff59678, 0x82f791ee, 0x70971c90,
+    0x6868d1dc, 0xc4d8f876, 0x903f058b, 0xe6c101a8, 0xcc375ec3, 0xce5fa787, 0x72647e38, 0x9e62bc7d,
+    0x24b44d0c, 0xb8f6fbc1, 0xe5b702a9, 0x4264cb18, 0xae4a4c41, 0xd12b408b, 0x911b142a, 0x62726396,
+    0x93f8847d, 0x5ffa8dc5, 0x8553f289, 0x34967419, 0x05e7a464, 0x3fb4f275, 0xecd70f7f, 0x5881d531,
+    0x8460dffc, 0x06445d2a, 0x55c8a3b0, 0x677b3b4b, 0xa0c94289, 0xcf8672c4, 0x0c8aced2, 0x0da724bd,
+    0x4b02d6aa, 0x5c16ff9d, 0x96ccee38, 0x9f9696c3, 0x45016734, 0x12ce4573, 0x0afddb7e, 0x2fd73652,
+    0x58281227, 0x7d2e106a, 0x03b55492, 0xa2da2954, 0xf048351f, 0xb43d53e6, 0x35ddf8c3, 0xd6fe7acb,
+    0xa50b0b20, 0x1d6140bf, 0x837bba74, 0x31bcbec7, 0x3a5ad451, 0xa9505d6c, 0xc5550670, 0x6b60c3ad,
+    0xd4f18cfe, 0xc1381bc9, 0xc3d08820, 0x72d30944, 0xf58157c1, 0x8ea05c86, 0xba79a4f7, 0xb1603c05,
+    0x3491cfa6, 0x3368553e, 0xb19ee96c, 0x91a3072e, 0x194569a4, 0x8a0884ea, 0x37a9e03a, 0x8465d7ea,
+    0xb3769e52, 0x82a35307, 0x9c657694, 0x5b5fc1f3, 0x1779a43e, 0x05e1709e, 0x3e332534, 0xaced3d12,
+    0x8f3e8482, 0xea39d3c8, 0xc0fdabd6, 0x36178a99, 0xe6926037, 0x89832ae4, 0x75ac5b4a, 0x6fad3c35,
+    0x12075fe6, 0x03806ecd, 0x866b592e, 0xf8ca1461, 0xbaa54c90, 0x92d2d9b3, 0xde8b2b59, 0x52b2899c,
+    0x1af5c4bd, 0x08542794, 0x69881161, 0xa92e6399, 0xa304bbb5, 0xcb434bd9, 0x0100e479, 0xcc9c10ff,
+    0xba29b64d, 0x2f6cd835, 0xc923fbf5, 0x3dbd360a, 0xae53a819, 0xeec5b9b0, 0x6a44df64, 0xc22f3ad2,
+    0xed736bd5, 0x11d5f7f7, 0x9feae98e, 0x3e7b6bff, 0xf08a027c, 0x46ccbcad, 0xe09897b5, 0xe03fc7a7,
+    0xe8434c97, 0xb9d4320f, 0x1ea5a83f, 0x57b30509, 0x35fbeb71, 0x92f8bf43, 0xe23d7129, 0xc71dd6c4,
+    0x307aba2c, 0x7f27ddb3, 0x1bb266ca, 0x8626cc3c, 0x0661d4a1, 0x269f6179, 0x2d559697, 0x95b0fd32,
+    0xd3eab6c6, 0x6779e131, 0xebe4d629, 0xa8e7e1f0, 0xfc7c5a20, 0x7d3a6575, 0xda891c11, 0x5cbdaf3d,
+    0xbf5b408a, 0xb11eb469, 0x1c4864bf, 0x59359c14, 0x2f994013, 0xe06f8c32, 0xe9741248, 0xd14c998a,
+    0xd05dfe11, 0x9e8d9d2b, 0x0536e55b, 0x500fed43, 0xa9300a32, 0x1cadf316, 0xfd3ab45c, 0xa67ec7db,
+    0x0299c174, 0x6b26ee1d, 0x58623a9c, 0xa381a1e0, 0xbeb96df8, 0x2338378c, 0x8d15915f, 0x95e1c95f,
+    0x08b5efd0, 0xd56f2ba6, 0xd323291a, 0x4f54fe7e, 0xcf4d96e7, 0x62a2fe69, 0x61af6edb, 0x1cebdf29,
+    0x74a5ee41, 0x6354c345, 0x8df8a0e6, 0x682cf84f, 0x9ed3d003, 0x56628263, 0x45ad355f, 0x44bb234e,
+    0x1fb4038b, 0x40fb795f, 0xa5a75407, 0x39d9ac1f, 0x4a204bcd, 0x3f05ff79, 0x5bc00b9c, 0xe9540f87,
+    0x80f33952, 0xf7cb6ede, 0xc827aa1e, 0x806d1354, 0xb9bad7cd, 0x63368d1b, 0x9611fe05, 0x7cdc24e5,
+    0x167ae656, 0xdcb0e1b4, 0xbd7909cd, 0xf8140909, 0x54a56c36, 0xc74cc49f, 0xf958d164, 0xa522a55b,
+    0xa568931c, 0x3f0b78df, 0x8b94fe86, 0x0f8d9fb9, 0xac7b234d, 0xf79b0ef1, 0x1b8a2744, 0x0ca86b58,
+    0xbfb10b1e, 0x01406f9c, 0x17c45e50, 0x336c212d, 0xa6abce42, 0x663578f1, 0x05146e5e, 0x7b2e82f8,
+    0x2b6e4611, 0x51cce6f3, 0x9630a603, 0x632719a2, 0x8dc4570f, 0x367bf180, 0x2d145316, 0xc3dda16a,
+    0xad0e5bdc, 0x6cf980a3, 0x1a1ab13d, 0x42ac7db9, 0xa4e0f460, 0xdc5ae1ca, 0x2c2a9a04, 0x6eff1188,
+    0x8d385ac1, 0x02712b76, 0xdcb98970, 0xff362308, 0x7fa76baa, 0xacc93f67, 0x54f0e456, 0x1e1e890f,
+    0xb424846a, 0x4b96ede7, 0xfd1b3842, 0xdb938d0f, 0x28b3f279, 0x2af46525, 0x93179477, 0x72f822c2,
+    0x2881f817, 0x6b5206d7, 0x55b74dff, 0xe9775617, 0x1283071d, 0x2cb95011, 0x76ecb498, 0x5c96885a,
+    0x3f2c23da, 0xa422d152, 0x98c53061, 0xaa51c92a, 0x7feeb2ee, 0x984765a3, 0x38d165c5, 0x3afaba9c,
+    0x618723dd, 0x11999ba6, 0x60826e82, 0x21a3ce77, 0x8e6ad289, 0x8e224bd7, 0x07b5562d, 0x692198c1,
+    0x38a009be, 0xfddeee4d, 0x81361676, 0x0f4ab789, 0x2f7d727f, 0x6504b22d, 0xa242d2a3, 0xfe168416,
+    0xd920179d, 0x28cc4363, 0xa196e435, 0x3394b1fb, 0x153ca093, 0x2102f79a, 0xbdf693ee, 0x55da23fc,
+    0x78372c7d, 0xc4343fb4, 0xe09dc7d6, 0xa7a3ab44, 0x9c722879, 0x4bdfd7fb, 0x8e360f76, 0xaec0f6f8,
+    0x63ff8c20, 0xa0baf9a6, 0xab5e1a97, 0x975a000a, 0x3dc7b357, 0x904abcf9, 0x0f18e7ea, 0x2eabdff0,
+    0xdc68dc12, 0x3dbee465, 0xb93acefa, 0x14d538bc, 0x692858b4, 0x88f5698c, 0x63066213, 0xba27c79c,
+    0x45914488, 0xa0ded563, 0x332ad743, 0x42150b8e, 0x23ee249e, 0x1c9b6697, 0xc01f3adb, 0x360f0d7a,
+    0x9a8214ad, 0xb5dcd7d9, 0xa138c83c, 0x2e477e4c, 0xe5a57a80, 0xfe639d54, 0xe36021f9, 0x68ae6b75,
+    0xe4d5ac1d, 0xa4681a69, 0x01829d92, 0x3ca5e5b7, 0xc5b26e32, 0x7a6e6aa7, 0x85eb6e8e, 0x4c037a44,
+    0xaedd9722, 0x229ac07e, 0xaa089d14, 0x3306388c, 0x2c223f76, 0x9a235c31, 0xcb0aed23, 0x45e85369,
+    0x14a78020, 0xae73d147, 0x3c492ed9, 0x459dccf0, 0x8c859eb3, 0x1d224aa5, 0x23126892, 0xb6674f02,
+    0x609bd4fe, 0xc4152daf, 0xc4684dcc, 0x6d2e48bd, 0x4655e6d5, 0xdd70bcbc, 0x18c3211b, 0xcc43d0e4,
+    0xbf71f136, 0xb84f25f1, 0xf2a7914d, 0xb16c8966, 0x5e091d59, 0x80f58a87, 0x947dab07, 0xece0e350,
+    0xdabe293f, 0x40057739, 0xa5fefcea, 0x733c86af, 0x38c5246e, 0x33fa390f, 0x2eb32f32, 0x0d8933c9,
+    0xe29d52c1, 0xda25b29f, 0xefc6c89e, 0xeed1b8e8, 0xdd221246, 0x927e0e58, 0x0cebb75a, 0x28ff5f53,
+    0x7c6446ab, 0x724fdff5, 0xb88bf792, 0x36e79be7, 0x68c95613, 0x85bae28c, 0x8e89fc02, 0x914b70fc,
+    0x249367f7, 0x96ba5c6f, 0x8a523887, 0xd2e8bf6f, 0x1a487468, 0x2c9d47a1, 0x5440b446, 0xcd4a893c,
+    0x3b8079e5, 0xbe2b938f, 0x2430b671, 0x4f2184c6, 0x956100cc, 0x11a8e59d, 0x65105576, 0xb261293e,
+    0x1ee8e436, 0x4dd11489, 0x1486a12b, 0x0ba88573, 0x53da1d3b, 0x39bbc145, 0xee09dca3, 0x33a64481,
+    0x71fcb4bd, 0xf51e466a, 0xdaa089fb, 0x6b546e9a, 0x411a8a37, 0x1704a231, 0xa75a8094, 0xcb6af8fd,
+    0x577d8881, 0xa3708779, 0x708fca87, 0x81d6073a, 0xc330b676, 0x3f39ec8c, 0x6347ce31, 0x34dd1a57,
+    0xe08499b8, 0xa9cec24c, 0xc7d06ab2, 0xcf46825b, 0x4b27d248, 0xf8872201, 0xf2ef7259, 0x2e55f804,
+    0xdfa43a3c, 0x98ed4062, 0x8faa442d, 0xddb36888, 0x43217959, 0xc957fa9b, 0x8b07869a, 0x5e3c110e,
+    0xcd892cf7, 0xcf04540f, 0xf31e4384, 0x675e14f1, 0x3fb45bea, 0xda8ed049, 0xcabd39b0, 0x4714b464,
+    0xd3166866, 0x028c24aa, 0x060e7bd7, 0x40b63696, 0xe70f76c6, 0x37fa26fb, 0xfee833bd, 0x916a1db8,
+    0xdd776741, 0x58ff92af, 0x142f172f, 0xfa9b1108, 0x5db8cb78, 0x2e7a59fc, 0xa16d3fd8, 0x8ce9eada,
+    0x4fa27cdd, 0xa4e29c30, 0xb5429da3, 0xd0918435, 0x82bd6b88, 0x673cdeb3, 0x1bd64447, 0xc2f2c5a2,
+    0x81f1532b, 0xf955ee67, 0xf9d9d0b9, 0x75a53e31, 0x01711fe6, 0x23b5e9bd, 0x41d64a08, 0x7cfb328a,
+    0xbd0f8abc, 0x702bd3c2, 0xe30d9d71, 0x5772b00c, 0xa73ccbc4, 0xb61119c6, 0x27a9ca76, 0xacf8eba8,
+    0x7e429854, 0xee9326b5, 0xd5cc0882, 0x147809ef, 0xc81b7892, 0xfea02b60, 0xf4e1899e, 0x84caa141,
+    0x0252249e, 0x374f1bf9, 0xae779c45, 0x75e705e5, 0x36d88cd4, 0xa21a79a2, 0xeff21f59, 0x13751375,
+    0x1734a007, 0x539306b7, 0x487baf32, 0xaec1aec5, 0xbcc9178f, 0x3d8f33a2, 0x220e0e84, 0x27f05467,
+    0x31aac92a, 0xe74fbbea, 0xe8f41ee2, 0x05fd2ae9, 0x06918444, 0x8840866b, 0xfee1d715, 0x02ad0395,
+    0x1067d0e2, 0x4b4b8d20, 0xf56a7b31, 0xd20a4e2f, 0xacec4f1c, 0x399f1f61, 0x58ad6cc9, 0xa001686e,
+    0xb875ee36, 0xf0648adb, 0x39f27e4d, 0x2aba1880, 0x4df04324, 0x444857b5, 0x03a8ccc9, 0xb61cd68f,
+    0x529c6f03, 0x51f3c911, 0x733381a2, 0x79902b42, 0x027c3fd3, 0xa2346ba2, 0x1e9b7ae3, 0x9db1367d,
+    0xaf10ae18, 0x9d16ac42, 0x6cdf29aa, 0xd9bb04cd, 0x06267778, 0x2046012a, 0x007d2213, 0xfd02ee75,
+    0x7c93c59a, 0x178dbcb9, 0x18a1d732, 0xde77882b, 0xafda135f, 0xbfb4e5e2, 0x74d9d5be, 0xb81427c3,
+    0xfdb29935, 0x65bb2055, 0x6d6d6245, 0xcaa408cf, 0xd5da9659, 0xf870a047, 0xf67762fa, 0xd416f248,
+    0x3edfc5da, 0x4aa9d29e, 0x046c5e85, 0x2b35860e, 0x0ec8ea85, 0x21223064, 0x88b8e4e3, 0x7b1d1da3,
+    0xdce07c4b, 0x32c5c877, 0xad89a7f4, 0x9b29b5f2, 0x6243ec0d, 0x79f8a470, 0xb37db018, 0x8656b594,
+    0xd987ab27, 0x019e2f36, 0x3c28e805, 0xafa8206b, 0x8741e815, 0x39862c93, 0x0ea629ae, 0x7dc2bbf6,
+    0x2e1a167b, 0x4ae56cdc, 0xd2820da3, 0x17f617a1, 0xddcd57bc, 0x592a463e, 0xaf164d31, 0x4e1910eb,
+    0xb4df2253, 0x3df0b847, 0x9f41b8f0, 0x8afecb67, 0x7263135c, 0xfaeef087, 0x5c889bff, 0xd8a618e2,
+    0x1bcc88b0, 0x6a160e82, 0x531ad559, 0x51adc49a, 0xd36500e9, 0xadf6579c, 0xaf395cd5, 0x9089fcf2,
+    0xb16a3313, 0x05b194f9, 0x93bca7ee, 0x8768d040, 0x84138123, 0x9f40f6e8, 0xf519265f, 0xaf0a7428,
+    0x2b64eedc, 0x4414a500, 0xff4400a8, 0x79af3ae3, 0x71cc95d1, 0x216a68f9, 0xae03f10d, 0xe6b7ba29,
+    0x5ce3747a, 0x5b72d77f, 0xd730814e, 0x125fc5a5, 0x8c7554f8, 0x2c5e497c, 0x8bddd2e0, 0xa770b25b,
+    0x65603000, 0x74e5ff97, 0x68fc65d1, 0x0e1e91dc, 0x359e8619, 0x917c11e8, 0xfc807747, 0x15a2063b,
+    0x84ec80fc, 0x42c92963, 0x490704e1, 0xfd7cfa22, 0x74d36038, 0x25dd4a6f, 0x19046f9b, 0xc9c21e3e,
+    0x3ec15e1c, 0x9eb1df08, 0x9b4907d6, 0x6eeb46e2, 0x08546aae, 0x9869e193, 0x32a7fdf8, 0x29770442,
+    0x3db74d5e, 0xd26949d4, 0xda11ef0f, 0x8609cf98, 0xda0b34b6, 0x66f11d4b, 0xb68a5941, 0xe79362db,
+    0xb9e3248b, 0x413b7323, 0x3a3eb6b0, 0xe24b748d, 0x22f3d664, 0xe1ae6684, 0xe86e4c3b, 0xc9edc34f,
+    0x54b60c02, 0x86cc32fa, 0x9738ab39, 0xa28fe0b9, 0x4b507c59, 0xd78abf97, 0xe719bfc1, 0x7c0be067,
+    0x7a4c43ed, 0x208bb8c0, 0xfcc5a701, 0xeb695140, 0x07e274d6, 0x1250bb3b, 0xbe7c871c, 0x0aef4c9f,
+    0x369a1062, 0xa29a9062, 0xbe1f4336, 0xd124438e, 0x618b1a4c, 0x7badc287, 0x069a66d2, 0x468ad192,
+    0xdc28b06e, 0x83c2e02d, 0x2fcbe1f4, 0xa75822b4, 0x57971f31, 0x3df0396c, 0xf7f80711, 0x7b728f74,
+    0x60a7c5d9, 0xb4d1153e, 0x12d4feb3, 0xc7669439, 0xfa7daf16, 0xdb3a6bdf, 0x64f7f5cb, 0x4769d1eb,
+    0x3b9fd7b5, 0xa64b12c1, 0xb3c4d4f7, 0x30b37798, 0x8ac6cb87, 0x4c7990f6, 0x1e49b1a4, 0x5f8e8931,
+    0x86acc4e4, 0x7cab72d1, 0xc3817cef, 0xee1e20c2, 0x315537a2, 0xdeb58e26, 0xc0f784ae, 0x5a7204dd,
+    0xb46738a8, 0x3375ea32, 0x21adc5c5, 0xdc442100, 0x21ca5d81, 0x0a32006c, 0xc5645966, 0x01145e29,
+    0xd403176e, 0x5db3ed18, 0x6b077c1e, 0x21b292af, 0xbcf70826, 0xcf716d7a, 0x5f86d196, 0xee891208,
+    0xf1f704f2, 0x6b1b989b, 0x8e45d211, 0x5ee6aac2, 0xdda0a114, 0x9f339c1d, 0x31813a13, 0x938472fc,
+    0x00000000 }, /* 10**00000000000000000000000055453393882416297191568283682861674068728741507516331\
+                         50340959161229242615611251246079948812208279156194782421922807143657948315648 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3,
+    0xad4e91b6, 0xac8082e7, 0x859d0665, 0x0fde9dd5, 0x1f3a3e24, 0xbeab63ad, 0x0bd61435, 0xee480564,
+    0x00000000,
+    0xdd6051d1, 0x0023b3ed, 0x2bc4df97, 0x75349fda, 0xe644530c, 0x33503f56, 0xc6396ebf, 0x534d39c3,
+    0xb12acef6, 0x98bd923e, 0xbff273f0, 0x96ece66f, 0x267f6738, 0x266786c4, 0xed37f9a0, 0xdce49f78,
+    0x479d1e25, 0x734fce48, 0x0a5bb175, 0xc700247b, 0xda3f00af, 0xba699c7c, 0x1bfbf382, 0x39b95195,
+    0xfede9b3b, 0x2a9fcb19, 0xcca92fd0, 0xdea54cce, 0x8226e042, 0x62e2fd62, 0xad79ce0a, 0xe9919550,
+    0xbbdcfc37, 0x6d44bd4a, 0x4b58fe33, 0xec28e0b9, 0x6612413a, 0x2af5c179, 0x88b81368, 0x0000ff03,
+    0x6133e8ab, 0x1dfd3b58, 0x1b393287, 0x9e50af10, 0x58f1955f, 0x54df040d, 0x0f164267, 0x5239a08b,
+    0x266767cb, 0x6ff9ab5d, 0xaf0b3f77, 0x098e29b9, 0x7026a937, 0xdac44140, 0x2fe8676d, 0xe8fd849e,
+    0x27ada380, 0x30ed9e1e, 0x29e15842, 0x70057e8d, 0xe874f956, 0x6be1b460, 0xc70f1a27, 0xd13723b4,
+    0x33a3d572, 0x49fd6812, 0x2909c017, 0x565fbe3c, 0x1fb2d870, 0x4a7d12c4, 0x33e54715, 0xaff59013,
+    0xe4c0f5ca, 0x514c9cd7, 0x99300b0c, 0x6e39246c, 0x676c3350, 0x35043d46, 0xf973a389, 0xbf0c6209,
+    0xc80fcedb, 0x667a7478, 0x197f941a, 0x2b054299, 0x7efed4bb, 0x4d8f5357, 0x555d0373, 0xeabb495e,
+    0x5b6863d1, 0x0682ce2c, 0x6ca79819, 0xf3a28389, 0xdf8782d5, 0x72560833, 0xcaa3e42d, 0x4c60d3e4,
+    0xce426802, 0x70ac0f01, 0x452bbd00, 0x118c0eba, 0x78d9a077, 0x48c3fdd2, 0xf900a154, 0x6addcf97,
+    0xf8c8af0f, 0x589c43c1, 0x8ec0f3ca, 0x3c1c3efa, 0xdab4a94a, 0x4e7bbdaf, 0x6aa2ded6, 0x4db722b2,
+    0xe01f1f97, 0xc8eb485a, 0x9706e2de, 0xa85c02f7, 0xdcc30a0f, 0x39173687, 0xa2e62604, 0xf84cae60,
+    0xe05728c1, 0xaafa50c2, 0x01d56a2e, 0xda89fb18, 0xc1f8c85a, 0xa65b658e, 0xdfbef4d8, 0x75d48bd7,
+    0x417a5502, 0x3990fd45, 0x6987d0e3, 0x19236d69, 0xf7ce0c3d, 0xcfd347b7, 0x6ac01580, 0x4998f9dc,
+    0x97e33f65, 0xa8d54752, 0xc2cf49d1, 0x968a18dd, 0xeb5fba99, 0x82109bab, 0x04a45ab7, 0xd208563d,
+    0xe87b9d3e, 0x57650de1, 0x135419d7, 0x13c4e65d, 0x82cd60c7, 0x90f5fe3a, 0xd6ccb0b3, 0xd59fe90c,
+    0x4fa946eb, 0x52aa8f77, 0x84a52547, 0xfea43582, 0x63f46a87, 0xa2e2375d, 0x2b0f7a20, 0x8c5331e1,
+    0x8361475d, 0xf37d8edd, 0xdff0fa5c, 0xe26bb7d9, 0x1169adfb, 0x4bfa9564, 0xb85669f8, 0x10362feb,
+    0xae59ecc5, 0x18636a52, 0xe10e0c38, 0x71029b33, 0x44c1bdd2, 0x99c1ce5d, 0xc09fed57, 0x394f19ff,
+    0x92b6203c, 0x27624f5e, 0x08486e38, 0xa6570340, 0xf86788bb, 0x9e298dc3, 0x05c16db4, 0x25f6abf8,
+    0x882316fa, 0xb9f0b8e8, 0xee17bf71, 0xa738ade2, 0xf0fc9b69, 0x982a4dea, 0x387e49a9, 0x0af66cfa,
+    0xdc467a1c, 0x37e9cef4, 0x7b66b16d, 0x4ebfe11f, 0x72d4e2d0, 0x1850ec84, 0x24d7273a, 0x8efa3107,
+    0x583097a4, 0xa97e25ed, 0xf52f4095, 0xd4f34dcb, 0xd354a6f5, 0x1a655958, 0xcaf1b99b, 0x1a77f246,
+    0xce288671, 0x837f8a6b, 0x774698eb, 0xa7efae21, 0x793fb7a5, 0xddd0c809, 0xbfe151ca, 0xe5e41210,
+    0x88074a63, 0xc4ae957b, 0x7fbc4838, 0x28cf7bb4, 0x7f7ea612, 0xe6b0b61f, 0x5b9d3da8, 0x074eba6d,
+    0xe3cedb86, 0x6bb3fcba, 0x0ffe8b25, 0x8f849562, 0xba497e36, 0xca292b1d, 0x084b483d, 0x283aea69,
+    0xc5dfbc80, 0x726a63b5, 0x0dd49c8c, 0xf1201344, 0xed291a9c, 0xa27e2fc6, 0x76753b8d, 0xd43c7df4,
+    0x2d3b068d, 0x2a15bbb8, 0x8a9b19ab, 0xb940929a, 0x1d5805cb, 0x7dc0b50f, 0xf7a223bf, 0x2e10d7d5,
+    0xc8e1563d, 0x73838653, 0x63589d15, 0xc561ac59, 0x50e04424, 0x4c34d8be, 0xa8d77a18, 0x9305ea02,
+    0x78c38635, 0xfb4f430c, 0xbff81433, 0x3e428dd7, 0x12467dc1, 0x64deba81, 0x5b945572, 0xaefd0cea,
+    0xdcdf5935, 0xabfa25af, 0x56af3690, 0x2ffaed3e, 0x8908df86, 0xbf9b89a3, 0x5d3a0d9e, 0x3419241d,
+    0x4f06ede5, 0x497a6be6, 0xde71ff11, 0xf1b4bce4, 0x4acd35ff, 0xca5bbc53, 0xbf080956, 0xe8b3a095,
+    0xe5ff3cf8, 0x3172ef42, 0x288ef7da, 0x4fffbbd3, 0xd8a126d5, 0x7192bed1, 0x58807e33, 0x5d4be6af,
+    0x7bf7c3b1, 0xff3602c9, 0x67c12782, 0x35cf2714, 0x8e17218e, 0x8c79231c, 0xa233eb68, 0x3bf0ab69,
+    0x56e0c8f0, 0xda321523, 0x69a82a34, 0xd007c189, 0x5adfe17e, 0x3eaf23f3, 0xe4c5961d, 0x587352eb,
+    0x9f890ebb, 0xc5ad997d, 0xac08fd02, 0xedb12ecd, 0xc53b4a01, 0xdced21aa, 0x9f271f51, 0x25f67300,
+    0x6692b175, 0x268c4e2f, 0x05fc29e3, 0xc0df8c3b, 0x17a5b2c9, 0xf0b7c34e, 0x0c2a079a, 0x129e1bab,
+    0x5fc06c0b, 0x6e3388fa, 0xc89a1f20, 0xbb1eda53, 0x8c559c92, 0xfe418b12, 0x8a82a92f, 0x0b45e56e,
+    0xbaabf1e8, 0x6db8c809, 0x13ed5be2, 0x5c1c6a37, 0xea1d54ff, 0x1fda49f2, 0xd2fcc45e, 0x080aa317,
+    0x15423d06, 0xc389d781, 0x28a62c5e, 0x650d32be, 0xb688d951, 0xa8f005bd, 0x623cfdb4, 0x452fb7d8,
+    0x29d3a15e, 0x20143b80, 0xa6eae4a0, 0x4a43004c, 0x3c0df19e, 0x100daff0, 0x1b7a36d9, 0x9bea89b0,
+    0x93d50233, 0xa6bfdf6e, 0x4791d088, 0x639e9203, 0x0ad8b4c9, 0x1a46668a, 0xf39e2aea, 0x0fef1f9e,
+    0xdcea8b7d, 0xbf680a42, 0xa0f2f6ae, 0xa14c51c9, 0x18f6b08f, 0x998af3a7, 0x1685216b, 0xe5545fe8,
+    0x4825be86, 0x1f5de04d, 0xc554bc1f, 0xcb3ba170, 0xfc0f27b7, 0x59c11954, 0x28ab8d55, 0x776b62f5,
+    0xded33958, 0xe94b037d, 0xfd786471, 0xa141d2bb, 0x01fdb140, 0xa2e797be, 0xc65f579c, 0x164bc9e3,
+    0x59a42143, 0xdf0b2a4f, 0x4104d44e, 0x00b73329, 0xf0d4b4af, 0xd1c6a3f6, 0x6091960d, 0x1d1e5168,
+    0xc18230d7, 0x8c862ef5, 0x08be590b, 0x2494b2bf, 0x3fba3e63, 0x3225ff5d, 0x26ae6a0c, 0x42e950e6,
+    0x1e5e8c66, 0xdab0d5a0, 0xd0f87a2d, 0x41c7a0d7, 0x38741268, 0x289e3be6, 0x46dc61ec, 0x44bfcc53,
+    0xffa0421c, 0xa2d57009, 0xf596b10f, 0x8fe57625, 0x059adc72, 0x8213ff3c, 0x5c2d3781, 0x4fa30d4f,
+    0x72a58b3c, 0x032437fa, 0x4f7e4758, 0x1507e3e6, 0xa5ede201, 0xfbfd4b19, 0xd2c14820, 0xd11347ee,
+    0x2d525610, 0x8a04a585, 0x8118c413, 0x2740ff88, 0x63301dae, 0x45e051c7, 0xcf99b9d8, 0x2dcb358f,
+    0xcbbf3d1b, 0x56418814, 0x65d2e1fa, 0xa01604ed, 0xc4e3fb91, 0x7d7e31fc, 0x70c1e635, 0xba8928ed,
+    0x17d55b6f, 0xcc825d8e, 0xfb81d3e0, 0xa0f0a571, 0x1c41649e, 0x3894cded, 0x7b02287f, 0xb2f393a2,
+    0x1e97f9e7, 0x830ab663, 0x7a512ead, 0x437d4a7e, 0x92342957, 0x25531867, 0xd113cbac, 0x84b254cb,
+    0x096da44e, 0x96cc2f80, 0x0016679c, 0x8552f4d3, 0x937693a6, 0x890752d7, 0xcaf15c60, 0xc1763e2a,
+    0x1033a785, 0x469fa1e5, 0xd0e8b548, 0xc381d2ed, 0xf1c59d93, 0xd03ff909, 0x5235758b, 0x3a3c0625,
+    0x47a932eb, 0x3af7905d, 0x23b2cff9, 0x235773e6, 0x2445dd1b, 0x9c1fe047, 0xc64235b7, 0xf3e12e58,
+    0x10f6f4e8, 0x2c4755cb, 0x6900b879, 0xb05abb33, 0x83de4660, 0xc54f4e14, 0xbe4dd061, 0xffbdc541,
+    0x8dbc8a41, 0x98476e6d, 0x5467c954, 0x44ae1aa7, 0xc433ce6f, 0xa6adb504, 0xfb218900, 0xf3c4c983,
+    0x438a9ee9, 0x044ce5e8, 0x6e439a69, 0x298bf3d9, 0x6b7e6318, 0x4343c130, 0x518821ab, 0x06dafd62,
+    0xe29c0c90, 0xf7f81cf4, 0xa4517d75, 0xaafcfcf0, 0x1bb8259f, 0x8c93033b, 0x0223afb2, 0x340bfd13,
+    0x24547357, 0x259dc0d5, 0xd175d58e, 0xc91be595, 0x88a6f977, 0x7d9c2def, 0x396712b0, 0x9652dca2,
+    0x2f0a1df5, 0x305f0449, 0xf0b065cd, 0xbd007b0a, 0xeb25e22d, 0x35212ced, 0xd690f4e7, 0xe3dff847,
+    0x6b48aeb3, 0x245bedae, 0x245e372f, 0xf2c9a122, 0x1392c738, 0x34efd36e, 0x10947e57, 0x457335ab,
+    0x9e71b4db, 0xd05bce5c, 0x46e12ac8, 0x3e907743, 0x059b3f6b, 0x6f6ba47f, 0x2ff3c691, 0x611f7d4b,
+    0x785590da, 0x8d02593b, 0xa1d650ec, 0x716d244a, 0xecbf5b7c, 0x32fbef6c, 0x1fc94425, 0xad6a6cb2,
+    0xedb68b79, 0x9fccb7a9, 0xc531ef75, 0x688e9e49, 0x75d9a7b2, 0x3e93495e, 0xc21de507, 0x481a0e4f,
+    0x059f9645, 0xc294bd25, 0x33e42b4d, 0x2d1675c7, 0xc6891957, 0x36ca50e4, 0x9cf483f6, 0x22b4b7b1,
+    0xab6df9ab, 0xbba06d3e, 0x51514f72, 0x6ccf5a7f, 0xac5fe79b, 0x2a406671, 0xcac0414f, 0x03c7bef1,
+    0x6fdc4be9, 0x330fc91e, 0x86d24061, 0x81a8af34, 0xe2d1429f, 0x08d5bdfc, 0xdf8e4f94, 0x82c701fa,
+    0x9a2eaa64, 0x76b757a0, 0x661ad2ab, 0x0884590a, 0xf8369248, 0x676241e6, 0x268565b6, 0xfd6571fb,
+    0x7e19530c, 0x68d9c91d, 0x1e7d5249, 0xecc3dbb5, 0x340e1c51, 0xfcb52450, 0xc779e758, 0x3d81585d,
+    0x63e31a3e, 0x08d0b3e0, 0x02b33a07, 0x11397597, 0xf01570ee, 0xf13a3f0b, 0x519698c0, 0x945de4a4,
+    0x7e6eb8e8, 0x31dd7996, 0xf829ccef, 0xa3848135, 0xa5030592, 0x88692b65, 0x1ccb381c, 0x0421823a,
+    0x00087be1, 0x764acb71, 0xef0437ea, 0x24671fee, 0x48f7da0b, 0xd66ca388, 0xc6cc1634, 0xc95580db,
+    0xc6e10932, 0xb6c6fdc0, 0x9897fac7, 0x98cc0cf2, 0x55d67f74, 0x26f5c022, 0xcd829af3, 0x33d790e3,
+    0x2e0b492a, 0x54ffaa30, 0x7b98529c, 0x5e6c3c75, 0x282d0881, 0x21c55bfc, 0x00b14309, 0xd013f322,
+    0x3cb6d9fb, 0x581aef55, 0x716270ac, 0x7b674238, 0x4bd88df2, 0xae3ba1ea, 0x71b7b97b, 0x8b0220f7,
+    0x79644d42, 0xc31b3bfa, 0x3ab54d0b, 0x49fc109e, 0x4a03c1d0, 0xf608e93e, 0x8e5da227, 0xf2040094,
+    0xda705ae2, 0xc3e48811, 0xfc152852, 0xfd55a363, 0x80afa7b9, 0x765fc1e8, 0x42f8ff9f, 0x095f9a98,
+    0x378686e4, 0x4993b648, 0x5d6c7881, 0x0368724f, 0x5ff42ab4, 0x35c05369, 0x441b067d, 0x7366a3e6,
+    0xf75f595b, 0x237b83b5, 0x3256784e, 0x502b58bf, 0x2407a076, 0x3ddcae9c, 0x80117c4c, 0x51e9ed43,
+    0xc9c98631, 0x6ecad818, 0x74b0e778, 0x5c0a9427, 0x6cc3f356, 0x74bcf085, 0x489c5cd5, 0x7532c067,
+    0x1a3c2709, 0x147281ee, 0xeecee535, 0xeec27b34, 0xfc111eed, 0x3d69be60, 0xb41a5f2a, 0x35e102cb,
+    0xc24ca679, 0x4ab29160, 0xe68968ff, 0xbe1095cb, 0x347078d0, 0x191f8ba9, 0xdfb2e836, 0x72c371c8,
+    0x762c0d3e, 0x7df709b0, 0x8a5bb868, 0xbb4329f4, 0x6c3e668a, 0xc48c1348, 0x1c6e7a97, 0xaa99d993,
+    0xdb3b13df, 0xad313e25, 0x93547533, 0x634c56b8, 0xc69ce7d5, 0x004cb898, 0xbbc1c4d1, 0x6085e651,
+    0x3da43e20, 0x33c19693, 0x9d05532a, 0x2c30e29f, 0xfe2aaf6f, 0xa6a5cba1, 0x47c360b5, 0xa8191d25,
+    0x687a5d17, 0xb2356935, 0x331dd8aa, 0x4ec7acd7, 0xa1f9d9d2, 0x1a8eadce, 0x56e64997, 0xab025e91,
+    0xdcc574e7, 0x56da8e0f, 0x6567aee4, 0x58956813, 0x6cd8b983, 0x52a4b981, 0x5e2dcf3f, 0x82ee4e12,
+    0x7ee2e7f8, 0xa9057df7, 0xa7cc3ff9, 0xd04260d9, 0x1c70285f, 0x740c468b, 0x7c3c0084, 0x3f00a032,
+    0x77995ada, 0x94ab5176, 0x46c01955, 0xfec95dac, 0x76e384af, 0x21829959, 0x6b72d059, 0xebdc733d,
+    0x2d0159ab, 0xe379f281, 0x90c7ba11, 0x9c8a2906, 0x8bf2cfc5, 0xd946da3b, 0x80d37de9, 0x8c087753,
+    0x5a1b1cbc, 0x191a4c42, 0x0c2e06fb, 0xa6a86a49, 0x5bb6a2fe, 0x26575c4b, 0x067c3a51, 0x9b0ecafe,
+    0xe14bd857, 0x60d67995, 0xec325969, 0xca85209f, 0x1b2037dd, 0xff40e3ef, 0x95d9e4d0, 0x587af3c3,
+    0x6cec549b, 0xbaeb1e85, 0xa1ba0ee2, 0x200c5070, 0x71fda8a9, 0x335b541e, 0x5a0d2e38, 0x146698a4,
+    0xe282c0ef, 0x94035a6f, 0x01e8fcc9, 0x8ed7a21f, 0x09afcc4d, 0xcf03dbb6, 0xd36b59d1, 0x68194985,
+    0xbfb01e02, 0xbceabee2, 0x1f76ee01, 0xae51628a, 0x19c1eda6, 0x1c04bf8b, 0x98f96696, 0x57e9ad94,
+    0x2caf8bbf, 0x15c9569d, 0xc25f4132, 0xaf3b8477, 0xc54bd805, 0x493a0c4c, 0x64d70c96, 0xf41dab59,
+    0x459c2793, 0xc192d882, 0x838e88bf, 0x0df53cab, 0x20433943, 0x4070d302, 0x02b008e9, 0xa6030150,
+    0x24907fd0, 0xb8ef67bb, 0xc4dd13d9, 0xc290ff79, 0x7b409f1e, 0xb6a77cf9, 0x5645bc8f, 0x009a400f,
+    0xee7b3bea, 0xfe8cc107, 0xaaed5af7, 0xfe544431, 0xbe175315, 0x38010716, 0xdff29739, 0x93215253,
+    0xe0a41e8c, 0xe69c88e0, 0xec35d9b8, 0x490a47e4, 0x297cf5c8, 0x8d48c991, 0x69a128f4, 0x356881eb,
+    0x1734d84d, 0x61ec0505, 0xdfde353c, 0x3c617f22, 0xc5bb5b5f, 0x457aabdf, 0xefe33bd6, 0xb969bc05,
+    0x09ea4d76, 0x6d3066c1, 0x350fd6e5, 0xb78d23de, 0xfc1293f9, 0x0c9a71fa, 0x16111472, 0x665b5449,
+    0x48c97609, 0xea65f249, 0xfd7f4cce, 0x52b514bb, 0xbf2ec9e8, 0x0d81d5cf, 0xd8d792d3, 0x612ad002,
+    0x456f9e55, 0x6590c9f2, 0x1ce11563, 0x3ecff703, 0x8a958b78, 0xca96bf3e, 0x30013a99, 0x5afb1e89,
+    0xc6f3d7f1, 0x3a23bf74, 0xf83d2953, 0x89960d4a, 0xb410ec9b, 0x5a214e3c, 0xfeb93206, 0x104c29c4,
+    0xa2f36aec, 0xec60913a, 0x55b9840d, 0x5b9faee8, 0x982b79da, 0x67e2a699, 0xfe0012ef, 0x287ebd53,
+    0x7c15d632, 0x996d41d4, 0x73e3dfd6, 0x8150b3d0, 0xc0ecf5e2, 0xa5bcc1bf, 0x0b0beba8, 0xc144ce89,
+    0xaccb44c1, 0xb62bec1b, 0x5b39be6d, 0xf91b1f38, 0x4dfe9e21, 0x34223dd8, 0xa7e5ee3a, 0xdd786c88,
+    0x7bb74021, 0x5c4a504c, 0x76fab9b2, 0x56a1130d, 0x82784199, 0x1ef263ab, 0xce787244, 0x67009883,
+    0x00b11804, 0x88b3ae51, 0x285f36e7, 0x5614d0b1, 0x0620dc56, 0xb3215aae, 0xa9e6b89f, 0x633a44ee,
+    0x619c487d, 0x717419a6, 0xedd802fa, 0x2c86fd59, 0x83b26e19, 0xb2831ec0, 0x0c4319f7, 0xc5e130e5,
+    0xc73d1356, 0x11d4fba2, 0x9d18c25f, 0xf49bb031, 0xbde2ba0c, 0x1713d011, 0xbf9f99be, 0xd01eaed9,
+    0xc7aa6cfd, 0x33e493b4, 0x1fde0691, 0x93f9cff4, 0x3cf01274, 0xcbfb55f2, 0x3d10eedb, 0x452d0cb8,
+    0xf68d5e07, 0x8277dce8, 0x595e7778, 0x03eeb86c, 0xe8f0984e, 0xb60efa36, 0x842dcc0a, 0x906522f4,
+    0xe682e799, 0x39e51887, 0x12f8780a, 0x11b09596, 0x39d51f1f, 0x6f61a2ae, 0x49eae44a, 0x0804f134,
+    0xdda3f6ba, 0xb7373d4b, 0xb72b98d0, 0x102ed961, 0xe8586cac, 0x48b7b390, 0xa9f46224, 0x42764318,
+    0xc8251105, 0xd6ae0006, 0x45303e83, 0xf2b1c5a7, 0x4060a4ba, 0xa4047870, 0x74407c6e, 0x0b47c78f,
+    0x7a5a1803, 0xb7d6f436, 0x27c1f1c0, 0x2237ab4d, 0x02df6578, 0x4be64f9b, 0x3f54e26f, 0x72e5fb9f,
+    0x2e7cd38c, 0xd247be46, 0x6e370796, 0x1297138d, 0x6f8bc550, 0xee8ae0df, 0xd42f4c0e, 0x82c43187,
+    0x61aa46b7, 0x9acaef74, 0x44c65057, 0xa22659d7, 0xa8f46531, 0x562d181d, 0xb3947e22, 0x8aeebb89,
+    0x00000000 }, /* 10**00000000000000000000000027726696941208148595784141841430837034364370753758165\
+                         75170479580614621307805625623039974406104139578097391210961403571828974157824 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9,
+    0xd6a748db, 0x56404173, 0xc2ce8332, 0x87ef4eea, 0x8f9d1f12, 0x5f55b1d6, 0x85eb0a1a, 0xf72402b1,
+    0x00000000,
+    0xee0f3a92, 0xde669821, 0x92a507d2, 0x1dbe68c1, 0xf7683dfd, 0x5bad2ed9, 0x76bd76e3, 0x11a1c8d8,
+    0xd4487a01, 0x1917c60e, 0x6473af00, 0x71aa72a1, 0xa45f9d73, 0x7debf21d, 0x03400e6c, 0x236b69fa,
+    0x2e62e4de, 0x7fe4aeee, 0x45992dfe, 0x900cfa4d, 0xefefebac, 0xc4ca2ed6, 0x62972855, 0xd73edeac,
+    0x02929173, 0xa2ce08a3, 0xd8e3c887, 0xf302334a, 0x2640091e, 0x39361445, 0xc745fb3f, 0x6678934e,
+    0xd12c2697, 0x193a102c, 0x12bec5f5, 0x19d25e42, 0x8f370b0c, 0x497f61dd, 0xa79978b1, 0xf4638fca,
+    0x13fca763, 0xeaa0d207, 0xd74b0ead, 0xd41a6c42, 0xaf064751, 0xa0eba6bb, 0x203fbaa7, 0x41394988,
+    0x6ff7ab6b, 0x22f7604d, 0x3bf2c257, 0x7d9f6e55, 0x1de3935b, 0xb14a1558, 0x033dfbf3, 0xad04d0ff,
+    0x3eb26bcb, 0x5cb259ca, 0x9baed451, 0x3f3b883b, 0xbf9ce9de, 0xd34fc24a, 0x27b2ac57, 0x036190db,
+    0x51e4e1ca, 0xe6a8d051, 0x08ba5ff9, 0xeb77cd34, 0x5f5e3824, 0xf5acc2d3, 0x7bcf3110, 0x468287b7,
+    0x369ab525, 0x621abe4f, 0xee10fbb2, 0x8d92840b, 0x57d989cc, 0x1f7ed1a7, 0x006e5a27, 0x4272d16f,
+    0x77557fca, 0xdada9d98, 0xa156910c, 0x28e57b3a, 0xe1a302b6, 0x463c99c1, 0x38e0348d, 0x4a31c5aa,
+    0xb06e9039, 0x2be521f8, 0xf1f53686, 0x59699d8c, 0x43dc9dd7, 0x21991ff1, 0x7be4f6ff, 0xf2e9329c,
+    0xce1ea76b, 0x0405fcc9, 0xb4302d31, 0xf16a727e, 0x0d40a22a, 0x1fbf84c1, 0x371a01c1, 0xc7b10655,
+    0x5f381497, 0x09be98e2, 0xd679c6b1, 0xd7af35db, 0x0362fa2a, 0x9f20ed7a, 0x02303c53, 0x8fe0da33,
+    0x195d0e59, 0x7d179a92, 0x6bf1bfda, 0x708e1b0d, 0xdc865dea, 0xbcd2df2a, 0xd8c6c4b0, 0xe046fe35,
+    0xf0afa2b4, 0x73ab7f4a, 0x94f11bed, 0xcb938995, 0x2fd10f5b, 0xe4da1569, 0xe94781e4, 0x58cc8a8b,
+    0x7f30cd90, 0x6a59a54a, 0x2aa98b2b, 0xc7015e38, 0xa2e2ee5e, 0x10625354, 0x9d775dbc, 0xc0403b47,
+    0xd3493cef, 0x57ca9ea5, 0xd36aaa07, 0x5e0c9454, 0x181f09d2, 0xf6cac3dd, 0x889413f4, 0x3e7d6918,
+    0x52b7fe22, 0x7e2938b3, 0x6e10d75e, 0x24648fdc, 0xeae560cf, 0xcf882c9f, 0x0956e5d2, 0x507fc3a1,
+    0xf9bc1c85, 0x39871126, 0x3f7aab7b, 0xff45535e, 0xdf1505b3, 0xe7dc0395, 0x8977f1d4, 0x73115081,
+    0xc691dc53, 0x619f161c, 0xa326c4ae, 0x96dc6052, 0x98cb2e62, 0xa59f3594, 0x906f4a33, 0x3ffef599,
+    0x5aed991f, 0xfdf4279c, 0x54bad9fd, 0x5457ccd0, 0x4256bd27, 0x91855a93, 0x006538a8, 0x4d41b8d8,
+    0x8d5678a7, 0xce4b56be, 0x02890e5f, 0x434f860d, 0x3437d054, 0x101ad02f, 0xca32fe7c, 0x782aab15,
+    0x15340386, 0xae5ecbe6, 0x524d2f61, 0x1e31a297, 0xcbadb458, 0x0a795535, 0x35f3c3a4, 0x9bd42cb2,
+    0x630a93fa, 0x5f07bda1, 0x087b566b, 0x459a54c9, 0x8be92a23, 0x669d12ac, 0x3a4d1732, 0xb017a527,
+    0x935bb076, 0xf0b141d0, 0xb53b1d6f, 0x814aadc5, 0xc178b506, 0xdb8680ad, 0x22d4ba13, 0x3a45dc6a,
+    0x257a1662, 0x2657088f, 0x9b3cce43, 0x012f3909, 0x362dd36b, 0xd9402d88, 0xde043946, 0x28f9ad7e,
+    0xd7d48b63, 0x48b175a1, 0x8c581da7, 0x13a9bc0a, 0x43d6aa53, 0x7084fc98, 0x31e2a7e3, 0x40e8b2d9,
+    0x0692fb12, 0xb37eaa99, 0x6c23ae9a, 0x0d82f7ef, 0xf946705d, 0x1a564086, 0xdca525b1, 0x04676d04,
+    0x756302a7, 0x0f59a2fc, 0xa06a90eb, 0xa0303066, 0xfdb8fa26, 0x7b126f1d, 0x5c62996a, 0x12c47c87,
+    0xba42cb85, 0x2836d6b1, 0x3cd501ad, 0xa1ae8887, 0x2b1b9057, 0xe0d5a42b, 0x5f28f6cb, 0xadb122a4,
+    0xe1b4558a, 0xc12c3d87, 0x70505df2, 0x8f41f3e8, 0xb6039550, 0x2547590a, 0x3b64ffd8, 0xe8de4e2f,
+    0x19eb1862, 0x68d697c7, 0x7b467d2b, 0x3ef21187, 0x7642f256, 0xf6d7d386, 0x553595d5, 0x276ec1b4,
+    0x1c20d866, 0x02d72c91, 0xa8d8e642, 0xb8e72eb1, 0x216dfc86, 0xd23566e8, 0xe5ffab7d, 0x51073873,
+    0xd61c9dc3, 0x0289eeaa, 0x21242b6e, 0x4ee7d207, 0xc0b3eddb, 0x7db51211, 0xd05e62f5, 0xb1c35ef2,
+    0xbdaf1935, 0xfd627707, 0xd6e92ad9, 0xa99b1cca, 0x20c121a2, 0x8678fadf, 0x269562a0, 0x47681342,
+    0xbd047c4d, 0x4ef4c0a7, 0x8bd9268e, 0x4511da3e, 0x3fdd289c, 0x5c9d4515, 0xa0a6dc6b, 0x68534040,
+    0x1e3260d4, 0x5d9cffbe, 0x2bb1d72b, 0xd577a9c3, 0xbe68e8ac, 0xac40834f, 0xc47430c5, 0x0fac410e,
+    0xa716ebb5, 0x2bbbc32f, 0xc1400bc5, 0x0a09e73e, 0xa19ef969, 0x8bcea11e, 0x74cb59ea, 0x056c70f1,
+    0x4880b48c, 0x50fd94aa, 0x5bd1fdb2, 0x9d9d74ed, 0x9c449cc3, 0xcc5a984d, 0xc77181bc, 0x91ab1d18,
+    0x78e2f7ee, 0xc9ffe033, 0x70821abd, 0x32a038ef, 0xe898def9, 0x02f70de7, 0x6e097791, 0x97ec1cba,
+    0xa850b446, 0x6258b921, 0xb00d63db, 0xd17262a9, 0xb75c9ffc, 0x3646dbc5, 0xd7cacab4, 0xdd975062,
+    0x208aa9a9, 0xb50b925b, 0x04741f8a, 0xc369f3a6, 0xf2206137, 0x48a2f899, 0xa1b996d2, 0x1727ff34,
+    0x1750a4e8, 0xaae38264, 0xa667ade9, 0xa200adfc, 0x6a91b2d5, 0xfdeae555, 0x32a16257, 0x211b214d,
+    0x52e19e47, 0xf21f37e3, 0x29fcdcff, 0x1e5b3053, 0xb3bb5bb7, 0x41fdfc0d, 0x1106f67d, 0xecd7379c,
+    0x48e2ba36, 0x863e4211, 0x36084287, 0x69fe0851, 0x97efe9ce, 0x57e99e32, 0x1b17cddb, 0x5c9071f1,
+    0xd0cfe2a0, 0x54be2ca6, 0xe4610415, 0x6c189412, 0x957d0e25, 0xb2e0fee6, 0xfacb71a8, 0x279227c3,
+    0x39d3be83, 0x121be1b2, 0xd9cb0566, 0x974e6a00, 0x6caa7095, 0x77d073db, 0xaf4c5a32, 0x93b5616d,
+    0x9ba37b5f, 0x2f059a74, 0xa1785b90, 0xc6b8dd15, 0x63cbd629, 0x0379a9df, 0x47f78c02, 0x432bb69a,
+    0x4b84c667, 0xb2061f41, 0x165b5e03, 0xbb6706d8, 0x1e28e58d, 0xff0285fe, 0xde694100, 0x1f3fb92a,
+    0x97a2164a, 0xfbc4424e, 0xa0a97da3, 0xe9ae202c, 0x4a7aecdf, 0x23627e99, 0x96cf7a4c, 0x14fccd3e,
+    0xa752e054, 0x27a1e80c, 0xf4921d1a, 0x25f50a54, 0x1fa67349, 0x50baf1fc, 0x2235274e, 0x06e6f447,
+    0x82c6cba6, 0x8830c906, 0x3fb21349, 0xba969226, 0x179fd86a, 0x561731c2, 0x6297ea89, 0xcd267e5c,
+    0xfbf99547, 0xd220fb65, 0x428da8b1, 0x3e3d6082, 0xdb861185, 0x1e18ca9d, 0x63677cbf, 0x59fcca9b,
+    0xf7c6bf82, 0xba96a28b, 0xcd6ec82c, 0x0425371f, 0x4419a8fb, 0x97f0276f, 0x137e2e63, 0x9dc8bd9a,
+    0x3a8691ce, 0xc4ec6cce, 0x1f9366e9, 0x06b1c506, 0x4d83d68f, 0x36a37f60, 0xa3294783, 0xdb12ff3a,
+    0x68cf7f66, 0xd2f2fbc8, 0x1680b5b7, 0x57942653, 0xb2e44f1f, 0x20661e72, 0x143edfb7, 0xc302e651,
+    0xe62b7497, 0xaf4cb319, 0x95effabf, 0x3541196f, 0xe70c1ab5, 0x491ded95, 0xe1233c49, 0xb9cd95a2,
+    0xfe701e93, 0xeb65e956, 0xe0480ee6, 0xdf07020a, 0x5de5b95d, 0x3c4beb78, 0x2e78cba9, 0xb09da590,
+    0xd26b9903, 0xc75cb4f0, 0xbc08f5bf, 0x32901e30, 0x9342bafe, 0x3dbc3f4d, 0x1163b17b, 0xe4bd6dde,
+    0x96b965b9, 0x446372a8, 0x4df81560, 0x7bb86942, 0x849b6809, 0xc29eaaa3, 0x765c640b, 0xbcdc9aae,
+    0x0fb58d65, 0x5c4b190c, 0xdc83dc89, 0xaa5c8da1, 0x87e6dff7, 0x95020292, 0x975a4d0b, 0x9e13c7a2,
+    0x4c28e040, 0x0830ee0d, 0xc8bab15a, 0x9388042b, 0xc0cd8889, 0xfe1af0bc, 0xd96d3d0b, 0xfd0f4743,
+    0x648e495c, 0x861637d6, 0xfba1eadc, 0xd67d16a4, 0xc0afa34c, 0xef5d6b99, 0x764359d2, 0x332bbac6,
+    0xfcfdc439, 0x13c86261, 0xbbd9f8cc, 0xeb7b3c97, 0x884dcf4d, 0x06bd6570, 0x1705159a, 0xe88c6eb5,
+    0x7ad1b398, 0x0b2d1e4c, 0x734a65ab, 0x044e0319, 0x2ef89c2f, 0x467d3f40, 0xd99becce, 0x50626089,
+    0x8116d8a7, 0x6602c15a, 0x30ed6a4d, 0x271fc2e2, 0x04f685f0, 0x62a82e51, 0x9fadcaca, 0xe2994caa,
+    0x1bd00d68, 0x6787c1ff, 0xf56bff36, 0x2e82dea1, 0xf379a49d, 0xb7720056, 0x059a4c09, 0xce00e1e2,
+    0xf6a332d0, 0xcd042355, 0xfb3c1a29, 0x826006be, 0x5684fc25, 0x4febbb39, 0x0e469a2d, 0x178f40e6,
+    0x4147ebdd, 0x4c2795bd, 0x8a8d4991, 0x4e41f836, 0x34564af3, 0xc4a27640, 0x1701c979, 0x2c8d0b1e,
+    0x49684460, 0x781d2f84, 0x094a1ba9, 0x3c23761f, 0x98638351, 0x704f395f, 0x360601c4, 0xc0c87244,
+    0x27dc6b93, 0x257d0e91, 0x405eb129, 0x75c30045, 0x72391ada, 0xcca63fad, 0x684aced9, 0x3b41589f,
+    0xb0d6cbc7, 0xb62de403, 0xe0b24d9a, 0xfe22d4ca, 0x6a8022ed, 0x0baeb137, 0xde342072, 0xc0ae5bd8,
+    0xa32b6776, 0xb699f584, 0x6a56835d, 0xcd9dad99, 0xe056f350, 0x13f8e92e, 0x9c50e776, 0xd10056b7,
+    0x2441368e, 0x90adb845, 0x49806857, 0xe1ebd15b, 0x0efc7744, 0x194b87f6, 0x024bf5e7, 0xa37093a6,
+    0x787ff734, 0x4e983980, 0x6dd49831, 0x003d742c, 0xb99b3bc5, 0x2bf9fdcf, 0xdee38ba7, 0xc44fe369,
+    0x87c5fcce, 0xf2e67ab7, 0x5f32d45b, 0x50079e17, 0x632bd1eb, 0x1e3d00d0, 0x17ef24d7, 0x68d5c8e4,
+    0x011efada, 0x338dd562, 0x76509c55, 0xb5bcab6d, 0x58f704bb, 0xc6d3d6bf, 0xc2931816, 0x2d7ebdcf,
+    0x98c00270, 0x2898d2b9, 0x511e8a33, 0x8dfdfbd9, 0x671148ca, 0xa85d384f, 0xa11a17cd, 0xc2e8426a,
+    0x5f09c596, 0xf8deb9f8, 0x95671720, 0x181c5749, 0x41eef6ab, 0x676db5c5, 0x86ac6111, 0x1d6833c5,
+    0x6cb488be, 0x7e02d397, 0x27dfcd1d, 0x4cf48b09, 0x86864f28, 0x997d984c, 0x30194bdd, 0x4158c72e,
+    0x0346eb59, 0xe60b7618, 0x82988e7f, 0x90c6dcad, 0xae7124cf, 0xe1601b40, 0x7ff2f1b8, 0xdfbcfa4e,
+    0x6f422288, 0xd7e8c174, 0xd24687fd, 0x00f7718c, 0x1588cccc, 0xdabd903c, 0x92e16dcc, 0x6893ed70,
+    0xbb8d2a24, 0x9353f743, 0xd193d111, 0x026d215b, 0x58701db4, 0x46166780, 0xcd0c6a45, 0xb6e15be9,
+    0x6aa611c0, 0x97528aa9, 0xda86d5d7, 0x7f61deaf, 0xb628a6b7, 0x16d06f87, 0x35f7df1a, 0x789d653f,
+    0x290444e0, 0x4ba186e5, 0x160ebc4a, 0x02806915, 0xb0245c1f, 0x1527a1a1, 0x7c6156fc, 0x9f4346d6,
+    0x9e8b3716, 0xc9596f11, 0x5f7a0999, 0x68d0c962, 0x4b4c3281, 0xa6d5485a, 0x12f2fa40, 0x504f3523,
+    0xf76e0d86, 0xe87346e8, 0xd8177342, 0x8c69a24b, 0x84d5bcff, 0x7eb27b14, 0xedc6e763, 0x90149991,
+    0x5d151e96, 0xcf7f331f, 0x43c07a0a, 0x04771f19, 0xe51c737f, 0x245e61c8, 0x0485bca4, 0x09572ad2,
+    0x93bcaa0d, 0x5097f74a, 0xe2cb3ee9, 0x6e030e2b, 0x0afbeeea, 0x34b080e5, 0xbc8d260d, 0x886c390c,
+    0x79ff46e4, 0xb4d4e5f4, 0x9f9fc143, 0xda8db84b, 0x7b68eeba, 0xaba84278, 0xa77b5046, 0x7a0e05cd,
+    0x2cfb5ea8, 0x2f131d54, 0x7094981a, 0x76f44132, 0xbefbd460, 0x8b0875f2, 0x90ce7da7, 0x19499fe5,
+    0xbe0ffab2, 0xade70d62, 0x2495841f, 0x8437c881, 0x56eb8b15, 0xcdeb91a8, 0xc1a7e5cb, 0xdcacca4d,
+    0xad08e4f6, 0xd63f1fe3, 0xbe1bbf10, 0x4fe52742, 0xdfcc7266, 0x81fdb872, 0x66ecf7d5, 0xa7f96ac7,
+    0xacb2cf3b, 0xe2d4f9d1, 0x17d80e67, 0x7ca4f299, 0xb6ff79d7, 0xefa05a07, 0x7551c3bc, 0x64b682eb,
+    0x64c0b707, 0x54392edf, 0x8b26e1ec, 0xb8cb8824, 0xf3718cdf, 0x830a714b, 0xf281fa79, 0x5d6d5a07,
+    0x0a3df13e, 0x135433b4, 0x044b7e6c, 0x21e112df, 0x3d4c31e5, 0xc9594748, 0x0da81734, 0x765d649b,
+    0x1bcd113c, 0xf27a0c52, 0xdc53aa33, 0x8650b075, 0xc93e15de, 0xe00b6e6c, 0xfd4224fb, 0xaac48f5c,
+    0xf74c1617, 0x78f0ba33, 0x7dfab49d, 0x89f4b914, 0x394dc270, 0x55973b5f, 0xe07ff5ee, 0x5586d870,
+    0x921f47d7, 0x3f6cc1e5, 0x7284ca66, 0xf6f036c9, 0xc848ebe9, 0x85accb8c, 0x5745918b, 0xe310c8b3,
+    0x301d718b, 0xfa0940ec, 0x52970a2c, 0x3471b9bc, 0xd494f24d, 0xc9f88093, 0xee680625, 0x13a7594d,
+    0xca585d85, 0x07c70b97, 0x948ba770, 0xbd2ac0a4, 0x291df2f5, 0xfd806a22, 0xdd39e269, 0x13d8317a,
+    0x7cad531b, 0xc18b6b14, 0xaa53753a, 0xefe768c8, 0x1ed372dc, 0x86a04525, 0xe4446236, 0x688b4b4e,
+    0x3e0b6fcd, 0xf8ef1cf4, 0xbd41c9ae, 0x6e312377, 0x37210c00, 0x97c19fff, 0xf087634b, 0x325da0f9,
+    0xbb1f9cf5, 0xd512d0ee, 0x3906cbb7, 0xdbac4a3a, 0x852bca37, 0xafe89986, 0xaf178c9b, 0x352ccd8e,
+    0x92a301e1, 0x79ee6cc0, 0xd9901391, 0x515599be, 0x2d133eb9, 0x6098c0d2, 0xd31da7f0, 0x9503f247,
+    0xa8c70817, 0xd2e34417, 0x87122381, 0xf0e9b6ea, 0x9fccabdb, 0x75380e67, 0x1c3beb9f, 0x63ebf44c,
+    0x7f5d595f, 0x180ba0f6, 0xd3847998, 0x480b2955, 0x98e9be37, 0x75a67265, 0x84af920e, 0xf5c8ab26,
+    0x1aac7c93, 0x1646009a, 0x9c2e6003, 0xdd1445ab, 0xf0248772, 0x81666217, 0xe3083222, 0xb635d5b2,
+    0x761aa281, 0x854a432d, 0x1585b5c8, 0xec73e48b, 0x13c22b74, 0xfd355b68, 0x05d03add, 0x3ee82f50,
+    0xf385b1d8, 0x1dac651e, 0x94242b26, 0x62caa8d4, 0x6a9047a9, 0x3e0cbdf6, 0xbdfb8869, 0xbe3f5367,
+    0x0484ea73, 0x3b45fb9f, 0xc857767d, 0x3ced7014, 0x75907779, 0x7998ef14, 0xc21877f2, 0xfbe2c79e,
+    0x31dfb04c, 0xe3b510d3, 0x6bf100e2, 0x5709c343, 0xce3153f4, 0xdcf26324, 0x134f62f7, 0xc561c315,
+    0x90252c92, 0x624dc31a, 0x5980a34e, 0x03266cab, 0x163d6745, 0xca944a93, 0x70fbf207, 0x0072dd40,
+    0xf2431db3, 0xf4d2337a, 0x2f5dcc56, 0x123a11c3, 0x7a48dec1, 0x8d293416, 0x18376f27, 0x567b719a,
+    0xa41ebdda, 0x26354ba9, 0xda825700, 0xe2a9c936, 0xb69b863b, 0x4cd9ffc6, 0x8555a118, 0x06103b89,
+    0x3f461126, 0x4184fe17, 0x0e9f5a9a, 0x298b8db1, 0x28fc14cf, 0xb36796d5, 0x9293df9a, 0xb53feec9,
+    0x6705fb12, 0x79df51e5, 0xcf7c732a, 0xc392d90c, 0x40d47bbd, 0x398e7416, 0x2f6d6934, 0x409b221b,
+    0x78f99086, 0xa18aea89, 0xfc1bfbd1, 0xb6f96161, 0xbe060cce, 0x112cdd52, 0xfe4ffc3f, 0xb83d82ef,
+    0xa2e47aa0, 0x9fcaa33b, 0x857fea70, 0x5063cf63, 0xc805fa5c, 0xe88f9b80, 0x06015306, 0x7090858f,
+    0xaf68ea6f, 0xea352518, 0x4c2cc308, 0xf1d53127, 0x955eace7, 0x2a34e116, 0xa1826370, 0x954418ae,
+    0x178b0010, 0x9b8c84af, 0x8744ec17, 0x4a5d014e, 0xd3268386, 0x67c24d75, 0xbae533d6, 0xf538e6ac,
+    0x04746160, 0xc65097b4, 0x4b9bcfae, 0xd21d9e07, 0xcea8dbef, 0x6be4ccfe, 0x7452026b, 0x9abfee66,
+    0xe518677b, 0xf6a21712, 0x6dd7b69e, 0xa7c27cbb, 0x3142ac0a, 0xfa8dcef2, 0xb7185b98, 0x643fdaf0,
+    0x652852ce, 0x655b8383, 0xe96b4729, 0xe2e1a808, 0xfac33fea, 0x303ee37f, 0xbab17416, 0x99d74229,
+    0x68e73dbf, 0x051346dd, 0x8545a1bd, 0xd79b0ad0, 0xd1f113e6, 0x725f4759, 0x57a70a1b, 0x34b117c8,
+    0x00000000 }, /* 10**00000000000000000000000013863348470604074297892070920715418517182185376879082\
+                         87585239790307310653902812811519987203052069789048695605480701785914487078912 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec,
+    0xeb53a46d, 0xab2020b9, 0xe1674199, 0x43f7a775, 0x47ce8f89, 0x2faad8eb, 0x42f5850d, 0x7b920158,
+    0x00000000,
+    0xae8fab26, 0xd36b8e65, 0xeed75cb9, 0xba6f5943, 0xd949e90d, 0x0eb0aada, 0x2c344d8a, 0x2d80b546,
+    0xbe021012, 0xa4539590, 0x37b59938, 0x1d4086a9, 0x1c29c80c, 0xf121980c, 0x0213c6bb, 0x1b634f09,
+    0x6c6c0859, 0x055f6abb, 0x907ffb06, 0x587aeb2e, 0x1698ddeb, 0x83e56239, 0x15696005, 0x19f25f6a,
+    0x16b649a5, 0xd1808916, 0x4cadcdd4, 0x24b36633, 0x3efb6199, 0xedfe9658, 0xe392f81c, 0x100663f3,
+    0x451c67f2, 0xf5f0b5e4, 0xb1bb7fb7, 0xdb67910f, 0xc0220c26, 0xb7e2aa2e, 0xbea9d265, 0x2eca2c44,
+    0x367cf5cf, 0x889dd296, 0xda7e0679, 0x5f54ed7a, 0x418ce831, 0x9dfc2c01, 0xbfe4f8d2, 0x986f1813,
+    0x5536db81, 0xe3c5975b, 0x82ec66a2, 0xbad1dc36, 0x48d10d40, 0x56c93621, 0x7a953761, 0x1604d4fb,
+    0x7712b852, 0xddda7d54, 0xc56f4958, 0xd882952a, 0xbcf97995, 0x88a79dd0, 0x6cfaddb5, 0x80676e17,
+    0xf6175a27, 0x436ee36c, 0xded09d74, 0xe8cc10c3, 0x3930516e, 0xcd28754a, 0x16c3de90, 0x5dbcc642,
+    0x059c2985, 0x9640daa9, 0xd42a2b3d, 0x7220c547, 0x0caa614c, 0x8efc79e1, 0xfd478d19, 0x80aae18e,
+    0x8e7fe1f7, 0x3470d989, 0x91f3436e, 0xe26ce59c, 0x2dcc2158, 0xd03533b1, 0xa53fdfb9, 0x4426e756,
+    0xfeea94e1, 0x08522e44, 0x8b0a53d7, 0xaa3a7ade, 0x80ad3ce4, 0x5ec3232f, 0xa6430c5c, 0x6864ca94,
+    0xd3153d05, 0x50fa9ff9, 0xa35eb0d0, 0xc774be24, 0x85bc9c2b, 0x8e4254d5, 0x8f758b89, 0x018f19df,
+    0x547412ff, 0xce74165b, 0xadb293f2, 0x1a872bd7, 0xb35b8298, 0x5e097560, 0x1279b626, 0x1a658995,
+    0xe6ff2dd1, 0x557676a0, 0x47af72e2, 0xd742ab36, 0xd919a67e, 0xa0274b00, 0xff9faa09, 0x2cf97e26,
+    0xfadced89, 0xa7c2216a, 0xb88852b2, 0x8b6cd5bc, 0x8e680b3c, 0x36c1dc5c, 0x4416dfcb, 0x8e3eec7b,
+    0x979ae9c3, 0xc4f2d85c, 0x66eea04a, 0x9ecb98df, 0x444a6d62, 0xa2968724, 0x40c051ab, 0x9098217c,
+    0x0c7e59e8, 0x8198d097, 0x193ca4ca, 0x172962f2, 0x1c007a97, 0xcb6cbcf6, 0xcd83a434, 0xef615a87,
+    0x6f8b8e4f, 0x4851e614, 0x417b85da, 0x5c6f1f4c, 0x7a1c9f3d, 0xcdc22a8c, 0x1d22e53f, 0x4d386ef1,
+    0xc5d982c2, 0xe8a8bfe0, 0x88a7f378, 0xe44346af, 0xe0fc7677, 0x3861cb20, 0x078a6d15, 0xd568fa4a,
+    0x424a2618, 0xe1c7b6f6, 0x5ba6d386, 0x06f1fc70, 0x52203b91, 0x561bab05, 0x7f2de309, 0xb58bc575,
+    0x2850ee0d, 0x72dc7f43, 0x11a52ceb, 0x49938a19, 0x3a99b5ce, 0x41a6ef3e, 0xca169eb6, 0xd4fee0eb,
+    0x60f676d3, 0x67e31831, 0x734f901b, 0x83e96a87, 0x39119dd3, 0xbf8387a2, 0xd5c4c014, 0x0708edd4,
+    0xd26936d7, 0x753806ee, 0x34dc1933, 0xe551069c, 0x1a21df72, 0x4fae1d7c, 0x0bfb4031, 0xcb4d3de3,
+    0x2c125aed, 0xf1f45bee, 0xe9b59d7d, 0xe18165e5, 0x4b940d0b, 0x04703c4b, 0x2c671ed0, 0x75713440,
+    0x589f9832, 0x3ddc681e, 0x709fc376, 0x9247d93e, 0xcc8ecbed, 0x128327a7, 0x933623c9, 0x1fb99408,
+    0x23a60996, 0xa642c78d, 0x83c17062, 0x1dccb70f, 0x420ebb8b, 0x639e1ca2, 0x817f6c33, 0xc98228c4,
+    0xc9fb2441, 0x553d39bd, 0x8597f758, 0x2c231c36, 0x60813293, 0x475076cb, 0x1a76083c, 0x79c4f7e7,
+    0x234d021b, 0x6f33384c, 0x3783f701, 0x0a7ff43f, 0xea1174f7, 0x5863ba94, 0xc9b236fe, 0xa339e777,
+    0xc17aef49, 0xb115c2d4, 0xab55bd58, 0x01ab1a6d, 0x8fdf2f62, 0x45b1ab30, 0x85dfe690, 0x1622950c,
+    0x5cae395c, 0xe6964da7, 0x08014d0b, 0xe5294859, 0x8da4337e, 0xb99dbfb1, 0x3666075b, 0xce52bf23,
+    0xc62e8bfd, 0xcf87ce43, 0x928a8a50, 0xd2c633ad, 0x3dd6beb0, 0x3df09217, 0x1529207c, 0x35c743b6,
+    0x3097d26c, 0x7a2364b3, 0x4959c3d2, 0xd72b5b29, 0xae27e6d8, 0xe3f81522, 0xce01d2fc, 0xd832dae5,
+    0x4eed010d, 0xc48d5102, 0x03aa9d89, 0xa23bc207, 0xb0c26cd1, 0x10f4d9a9, 0x893f484b, 0x407392ad,
+    0xe8bdbd4d, 0x34de35cf, 0xd9926386, 0x6f3e95ea, 0x3fc64dac, 0x9adc0fb9, 0xeffbd9a5, 0x26406281,
+    0x51f704bc, 0x3e1ca164, 0x7153063c, 0xe63b7cee, 0xeec3cd20, 0x7e528af4, 0x4cf8624c, 0x203b620e,
+    0x98ecc6e0, 0x00ef49b9, 0x728fabdb, 0xc26fb476, 0xd4948d34, 0x15ad992b, 0x3bd70ba3, 0x1fe6c932,
+    0x71d5f446, 0x09168e67, 0xa6aaa27b, 0xbc36156d, 0xeaea1699, 0xf1edc92d, 0xa3722369, 0x15776c5c,
+    0xfd542387, 0xe67ab1ea, 0x0eb66743, 0x7a81ac3b, 0xd9d322a7, 0xf0a00686, 0x350af807, 0xbc4eaf08,
+    0xdfcaa868, 0x1d95b7f2, 0x3b1e0279, 0x3f1b7989, 0x1d927fb5, 0x968c7930, 0x713edbb6, 0xe0e00bc7,
+    0x053ed0fc, 0x13e2b3bf, 0xf7a99a14, 0x2ea227fc, 0x6e61d56c, 0xd0af5032, 0x6e2f9d07, 0x3a9bd156,
+    0xdb25a763, 0xeed2b402, 0xb1fb7cec, 0x68bc990f, 0x20ff7afc, 0xdc34813d, 0xaaac6c30, 0x93d9fd67,
+    0x9fc4a15d, 0x5208cfc7, 0x2ac5309a, 0xd76654b6, 0x081e9619, 0x67bddd81, 0x8f3d2216, 0x5d98c63d,
+    0x38018663, 0x34beb0a5, 0xe63bf00a, 0xdf644989, 0x32dfe024, 0x6828b504, 0xd56f26eb, 0xb8b4adcb,
+    0xc15cb83b, 0x6ccec908, 0x53aaaee7, 0x469d16d9, 0x896622b1, 0x3c17e68e, 0x67be4fb8, 0x8764c7b9,
+    0x5c0e3dcb, 0x30f89194, 0x6d5948ff, 0x0e529513, 0x39a0bee5, 0xd1ed7445, 0x9156a61d, 0xd2d1001d,
+    0x9bd6fac9, 0x11cbaa0d, 0x5f3e0d36, 0xdf9d9881, 0x251f1a00, 0x6336b57c, 0x6e24d336, 0xb2ad4c76,
+    0x0cea904e, 0x1cbe5975, 0x0550cae8, 0x24ca2f8d, 0x9bb90929, 0xe8c758f8, 0x6af6e114, 0x9c2ce7ab,
+    0xe98be468, 0x0c858983, 0xaae72d3f, 0x1f58d574, 0x9455702a, 0x1132d2b6, 0xc1a6cb8a, 0xe299f128,
+    0x6af97f8c, 0x1daba39d, 0xa9dca968, 0x14e00144, 0xb736c278, 0xaf1bf87f, 0xa1226d9e, 0x7f3d8269,
+    0xd3cd670e, 0x3478a10e, 0xdee6e250, 0xc23cb90a, 0x081a6c79, 0x341cc1f1, 0xb0deabe5, 0x347602ef,
+    0xa5f06f42, 0x4e463bbb, 0xd6cd5888, 0xf4cd7c6e, 0x69f141bf, 0xa9562a96, 0xfc4ef68e, 0xf533eaed,
+    0x32ddad7d, 0x6ca3d18a, 0x7c345096, 0x331f3371, 0x55c3bf1f, 0x674e0bdc, 0x2e3cb4bb, 0xc1d879c8,
+    0xd4048219, 0xa02e809e, 0x9165572d, 0x5d02fb9c, 0x161126ab, 0xb67515d2, 0xe023d0af, 0x7faed83f,
+    0x44e1a83d, 0xe4c58067, 0x9a63864e, 0xb6f7dbde, 0x10ddfcb2, 0xb3a4511d, 0x830f721d, 0x71e78e14,
+    0x1a57ed45, 0xf122605e, 0xc47dc5dc, 0xa076b016, 0xbc1fc9a8, 0x74f638cb, 0x1bed0fb5, 0xd1d391e9,
+    0x4d961879, 0x419d4dd8, 0xb89203b8, 0x898ac31f, 0x80265d0d, 0x5b148b64, 0x7b67a54a, 0xf456a0d0,
+    0xebe2615a, 0x0f407164, 0xf94d0b32, 0x504b220c, 0x1824ad8f, 0x98656395, 0xd757fb9a, 0x09fc1ecd,
+    0xa83d71e7, 0xf5c7338f, 0x6a021f47, 0x43edb6de, 0xcb3d8173, 0xad6c7db6, 0xf6318b29, 0xf2b3bbdf,
+    0x83d78a64, 0x7d0e9e1d, 0xb8b88e03, 0x7e93ab64, 0x7571188d, 0x2b9acaab, 0x570ab062, 0x54ec7433,
+    0xe9871095, 0xe5b8616d, 0xff415c09, 0xc27353a4, 0x5bade71c, 0x384a44f4, 0x88ec1ae5, 0x6110d9a8,
+    0xbdaf9b30, 0x62398a07, 0xadaeca91, 0x9049c9e7, 0xfe76f48b, 0x0d0d7fd3, 0x50543abf, 0xa039914a,
+    0x19a38516, 0x484504d2, 0x5c9029bf, 0x5f0ee489, 0x10ee2da6, 0x7de41f90, 0x86a75ca3, 0xbdc0282a,
+    0xfd77d572, 0xfc8df4d3, 0x4bd481b2, 0x3c639471, 0x58655367, 0x0c7af552, 0x3b367549, 0x3dea0403,
+    0x88b3b22d, 0x664f72c3, 0x35a6aad6, 0x345e7ee9, 0x18062dcc, 0xe8b8096b, 0x58c897bc, 0x199a0751,
+    0x920ee288, 0x4565b280, 0x2bfc81ce, 0x41e3defa, 0x77d0dbb4, 0xd172fa3f, 0xef72a0ae, 0x8dce34b6,
+    0x63ea68d6, 0x9ad05625, 0xfcd97703, 0x0dcbac8f, 0x06e7d3d3, 0xd97b0636, 0x4d484fe8, 0x7d664e43,
+    0x338753c3, 0x28fc5f3e, 0xa839ccdd, 0xe5e71a77, 0x4df1b077, 0xac1cdee3, 0x027fde30, 0xc37cfce3,
+    0x94df3af2, 0x4db11bf0, 0xb281e3be, 0x7d89c5cd, 0xd3a64881, 0x6cd3c990, 0x65035cf9, 0x0bc984f7,
+    0x27421ca6, 0x5e6b3665, 0xd469dbf3, 0x6eb0962b, 0x2f3517ab, 0xf80f9de0, 0x4e1173c1, 0x3e9db41c,
+    0x9e6add53, 0x1f2fe0ec, 0xc905300f, 0x9c07f025, 0x8fa84c1f, 0xd3ee894e, 0xe91e6897, 0x0bad47f8,
+    0xfae787d9, 0x749fe256, 0x83cf3301, 0x5b6acfde, 0x7cd31df1, 0xa878319f, 0xff69eef1, 0x490b62a6,
+    0xb32c9b39, 0xd0b2144a, 0x5814fc97, 0xb68328ec, 0x2795c01e, 0x6b9be131, 0x2c39b1ed, 0x5849f74b,
+    0xe74c8a96, 0xd5133832, 0x756b326d, 0x626d4458, 0xc84f74f9, 0xb4495737, 0x596556eb, 0xe9a00f26,
+    0x451792ba, 0xe7e392b5, 0xfff47bce, 0x44231514, 0xca8dede3, 0xd2c45025, 0x90e19156, 0x4eba2f6c,
+    0x6890187a, 0xaa1f9dda, 0x58005a4b, 0xbd72d5b1, 0x7eb0a613, 0xb3063f90, 0x3e39e658, 0xcded7218,
+    0xe8976cd5, 0xd1c79998, 0xed8b5a1a, 0x34ca3432, 0x00670fdd, 0xb2f6f9a6, 0x6b5dee00, 0x5ae6dd37,
+    0xb3fcef65, 0x10ace8c6, 0x95495bc7, 0x994d4e8e, 0xcea3ff93, 0xd91fa5a5, 0xa4a0237d, 0x248380b5,
+    0x2f7bfad7, 0x5d5a93bd, 0xfc85b65a, 0x62afb36e, 0x38cfa03e, 0x58cad094, 0x90b78bd7, 0x29bf59d4,
+    0xc7db75a3, 0xcb748f7d, 0x643be837, 0x0da341e8, 0x98641272, 0x122ab44e, 0x1d945019, 0x448be89c,
+    0x02bab89e, 0x162b06f9, 0x4f004ecf, 0xc63a1db2, 0xcfefae0d, 0x34bcc521, 0x58dd12fa, 0x91e933ff,
+    0xb34e1931, 0x1a7ff84c, 0xb7f28a9d, 0xa9fd64fe, 0x637eb238, 0x945d62fd, 0xed6e947e, 0xf35f2f36,
+    0x2426e507, 0x833b82c6, 0x4067db77, 0xa26308f9, 0xb0966f9c, 0x2506e715, 0x64dd025e, 0xf19161bf,
+    0xc5055cda, 0x89790ec4, 0x1f77af33, 0xfbf53bf5, 0xadc83b83, 0x620a3930, 0x8a6b224a, 0x7c187c6c,
+    0x510ad666, 0x3f99f315, 0x9a91256b, 0x89944c78, 0x03008e63, 0xee799ccc, 0x3a798dd0, 0x749a8159,
+    0x8315f758, 0x57deecaa, 0xc9a40803, 0xffdafeb1, 0x149dc602, 0x1cecb5f2, 0x1b2ef199, 0x377a56bb,
+    0xf6f2e697, 0xddaae748, 0x4012a83d, 0x8ec58432, 0x5a67cd2d, 0x85adb485, 0x63f75b80, 0x772d1ca1,
+    0x8511653b, 0x849de565, 0x13865bd9, 0x4f974823, 0x5b3f8e3d, 0x24d4d8f8, 0x6f466489, 0xb01843a8,
+    0xc8c7785a, 0x456dc48b, 0x459f27f8, 0x4a97bc46, 0xbd04d5d3, 0x87c40784, 0xbe9c3eee, 0xc5bc3b52,
+    0x898ffd05, 0x65dffb34, 0xaffac32d, 0x6e5d4b43, 0x18b26314, 0x11708677, 0x2c5b07dc, 0x80603dcd,
+    0x7dde9aa1, 0x81a9bae8, 0x901ade5e, 0xba90e2d3, 0x9abc40e8, 0x9e326721, 0xeceb971e, 0xd3b6127a,
+    0x6bd33521, 0x5b2e3c5b, 0x982ece2f, 0x5d7f0c03, 0x725b750f, 0x060c444c, 0x462bd385, 0x52497cc0,
+    0x86f68f97, 0xce281d40, 0x3b936ce6, 0x5b52cd44, 0x4b599cfd, 0x386e7b02, 0x6a750050, 0x5de587e6,
+    0x49a76e7e, 0xa40f5065, 0x17a30386, 0x3ce6914d, 0xfd9d9012, 0xa5b19290, 0xf88242e7, 0xa4c0f53a,
+    0xa1cb9974, 0xb4f17ea1, 0x6e71a306, 0x2ba6e3ac, 0x0669aff5, 0x953e74ea, 0xd02458d7, 0xa4227fbe,
+    0xc80e9d9a, 0x0dc28647, 0xb5e9b51f, 0xa7d94373, 0xcd22d882, 0x48f3246a, 0xc438ce57, 0xd65e0122,
+    0xa06d29de, 0xcb733a3b, 0xbb1af8cd, 0x4c7613bb, 0x438d850d, 0x17c6ead7, 0x089c38cc, 0xad8a562a,
+    0x4b3f2166, 0x61942ba0, 0x251a3223, 0x79eb40dd, 0x4278669a, 0xc3d3674a, 0x6c5a3e80, 0xa04b2162,
+    0x9bde4159, 0x0422c495, 0x33dfa5ed, 0x867984fb, 0x0745281d, 0x6d6b3645, 0x42c5039e, 0xc8d79e60,
+    0xd5d6fe4e, 0x460a68bc, 0x4c1a150d, 0xb2fc38d1, 0x2428dc20, 0xd4be4f68, 0x43c74cd8, 0x8ae5bbee,
+    0x84c5c1f1, 0xb32d6c08, 0x83b57be8, 0x3220c73c, 0xfd872322, 0x2c50887f, 0xeeaadcad, 0xf878870d,
+    0xf7ee4163, 0x9ce6ec67, 0xe53a6de9, 0xe436f6b1, 0x14f95ee2, 0xb6feffe3, 0xd31ea353, 0xed3ade0e,
+    0x4848a17f, 0x2ecd9bb8, 0x576f6987, 0xc3139b6c, 0xd0496408, 0x0c9f75db, 0x81bc4996, 0xe020379c,
+    0x527ea005, 0x39339b8f, 0xb57811c3, 0x869ba8e2, 0xc947c7f6, 0x9910bb4f, 0x3179ff27, 0x7fb70aae,
+    0x6f73e297, 0x782e9f6f, 0xbb1e7fc1, 0xe770843b, 0xe91e8ad9, 0x3fff38b7, 0xd6497926, 0x59c7fa29,
+    0xbe42dcdd, 0xc0bba0ff, 0x6a7cf608, 0xa7c22307, 0x3b44bb09, 0xfd08b7b5, 0x9739d580, 0x057e09b2,
+    0x87f4698f, 0x5aa6ac83, 0x64d77fd1, 0xc068db99, 0x14275043, 0xe84fb660, 0x903a12e6, 0xd26db4f1,
+    0xf5003563, 0xfbf7ecc9, 0x28f2c4dc, 0x3bc230a9, 0x8556dd0d, 0x9ab69cf9, 0x986236e6, 0xcd01ed9a,
+    0xfa9e4616, 0x3d7d12a1, 0xc6a6009f, 0xb5c4e3be, 0x232c28bc, 0x33994d62, 0x90fe2635, 0xe0086af8,
+    0xd4b87812, 0x4040d761, 0x0f832884, 0x0cf8a6d3, 0x828eb119, 0xf9e5355a, 0x6106a413, 0x6ea77474,
+    0xee6bdc34, 0xe93f2939, 0x9c5a8043, 0xd7619d12, 0x26addc8c, 0xe6b9e8c2, 0xa11fede4, 0x04929cf8,
+    0xf4667e2b, 0xfe676fbb, 0xb4d85f7c, 0x85134bd3, 0x8434d3da, 0x0b111aa5, 0xaef43326, 0xf53ad35b,
+    0x1f0b006f, 0x03908808, 0xcbbc59d0, 0xb28c8ee3, 0x9b239b75, 0xe8ce7c83, 0x97d87c54, 0xe4d24100,
+    0xf681002c, 0x6988d22d, 0x68339473, 0xabe497c1, 0xb47a2795, 0x68112d9a, 0x0feac383, 0x5eb2bd6c,
+    0xb6280171, 0xba0c7d5c, 0x1564af5d, 0xc34b4cff, 0x04928b8c, 0x4bd67505, 0x63169899, 0xd2e7b32a,
+    0x41a75856, 0x0f804580, 0xfdd3b897, 0xcb3acdf3, 0xf1ecdca2, 0x3f03cf4d, 0x8c84b16f, 0x40caeba7,
+    0x1b2f36e7, 0x3e50dc87, 0x6be15990, 0xde25c6b5, 0x15bc294f, 0x97639dbb, 0x34b125f9, 0xc9d88e02,
+    0xe0429d9a, 0xd6f21474, 0xf3debf3a, 0xb7d8dcbe, 0x63c6aafd, 0x01c5ac19, 0xabb107d5, 0xccb5d156,
+    0x423aa7b5, 0x420a54cd, 0xa5932ea9, 0xd65baade, 0x1ff83042, 0x4ff0d4ef, 0x610343e6, 0xd676d1a6,
+    0x095c0e14, 0x4e3eb164, 0x037a1d59, 0x54fd9395, 0x4d5c1d8d, 0xbfe6974d, 0x0458f959, 0xb1b4679c,
+    0xc9f3a067, 0x651893e7, 0x62a48488, 0xb9acf996, 0x5deeda24, 0xe17fa1ab, 0x9d40e258, 0xd72d94b8,
+    0x7e8b076e, 0x1bb1decb, 0x0eb8e02d, 0x81b477d1, 0x1ae8af24, 0x95dc83c2, 0xa9a28d95, 0xb341c7ef,
+    0xfdd43eec, 0xf0336430, 0xbda8dc53, 0x0e89c6a3, 0x48d17830, 0xe5abecb9, 0xd0cc8835, 0xf4ecb372,
+    0x0256c799, 0x5df92904, 0xdd9fb2f9, 0x2f54d0a9, 0x7c2455d2, 0xe2776ea4, 0x689852ec, 0xfe8220b8,
+    0x61f28f20, 0xf14a2681, 0xc1522fde, 0xd1956520, 0x6f0657c2, 0x75a104bb, 0x62633267, 0x2be06744,
+    0x86540f4b, 0x410e0efe, 0x4a60575c, 0x3814f260, 0x0175396a, 0x43fe8f99, 0xdab82889, 0xabff3149,
+    0x00000000 }, /* 10**00000000000000000000000006931674235302037148946035460357709258591092688439541\
+                         43792619895153655326951406405759993601526034894524347802740350892957243539456 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6,
+    0x75a9d236, 0xd590105c, 0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c4, 0x97d56c75, 0xa17ac286, 0xbdc900ab,
+    0x00000000,
+    0xd3650336, 0x2ada0ad9, 0x45262205, 0x7cfc85fa, 0x36801101, 0x9e3f5133, 0x061c10df, 0xc41d9f04,
+    0xcb63fd81, 0xdf90d205, 0xd77650c1, 0x23ede4a3, 0x8778cdf4, 0xa2c9b296, 0x95effd79, 0xa6352e15,
+    0x13597eab, 0x358a3ff5, 0x22d4e160, 0x6e20fed4, 0x62c26c6d, 0x769d728c, 0xa5c9ac5c, 0xb4640bc4,
+    0x201942b6, 0x41446430, 0x745bea7e, 0x555d9e0f, 0xbe969c12, 0x5cfd9936, 0x1fb9e7b2, 0x854da830,
+    0xdebf1535, 0xb8c38436, 0xc65514a5, 0xf9d57eb8, 0xaff885ca, 0x9eed7bba, 0x3feb0f5e, 0xac3b2d41,
+    0x561446b2, 0x282ff233, 0xd24afc8f, 0x6b1f8a59, 0xc6f5f6ed, 0x7c66fe1c, 0x58c05854, 0xbf74eccf,
+    0xdf9bd634, 0x41456ff4, 0x04f93499, 0xbad70e27, 0xec950b23, 0x81125b16, 0x7b63b23c, 0x8247577f,
+    0xbb605d4d, 0x8fa457c3, 0x91fa9bd3, 0x45e24c65, 0xdc7f20a4, 0x4bc7b0c7, 0x9fa2dc98, 0x68f96864,
+    0xed6a5006, 0xb4005468, 0x535caa8d, 0xcde1e063, 0x79b6d5e7, 0xcaae3249, 0x8f7941e9, 0x4a3dd631,
+    0xcf7b6ee0, 0xe32b68b4, 0x75106438, 0xb095e56b, 0xdc04c4bf, 0xacaa6a83, 0x84c0832e, 0x0e681ac0,
+    0xcff27851, 0x8b632ea8, 0x9cf279c2, 0xee4b4ac2, 0x4ece938c, 0x890e155a, 0xf3e63d34, 0x89abcb2b,
+    0x473326ce, 0x983c9fd9, 0x06a542b5, 0x0f928df9, 0x7c971ca1, 0x7290a755, 0x3997ced0, 0xe56db843,
+    0x75bd83ab, 0xa5ed6452, 0x6841cf8e, 0xcc402ca5, 0x08b3ea08, 0x52225eaa, 0xba75606c, 0xafe6600a,
+    0xfcbfe72f, 0x24129f62, 0xa306d898, 0xf874896b, 0xd937ae67, 0xe3011354, 0x5512d716, 0x55c6335d,
+    0x35f4da4e, 0x7aba0b0b, 0xd9da2d98, 0x44f44e08, 0xba7d913e, 0x0ab17ca5, 0xaf912bb5, 0x40a3f76b,
+    0x226240c6, 0x2dddc8b2, 0x8817c4f6, 0xb655e07b, 0xcb1fb0d9, 0x55a30485, 0x453953f2, 0x978bd7a4,
+    0x7b3f2521, 0xa61c2549, 0x623f514c, 0x4c2e31dc, 0x3ddffad0, 0x134a1926, 0x89b56bb6, 0x90b42980,
+    0x2aee9026, 0x54624d2e, 0x037d853b, 0x44898677, 0xe6a4ae04, 0x8fee0e9f, 0xf7aad7f3, 0x2f7ca7ad,
+    0x7d965a75, 0x0fea0f33, 0xd46ed645, 0x0ac1f174, 0x633dd697, 0xc03ed228, 0xb97380a1, 0xa50f8a95,
+    0xa56fdb54, 0x598e4411, 0x22e8f0f1, 0x6603b3cb, 0x3c4219ec, 0xb48529f1, 0x3d3bbbb8, 0x7d9433c9,
+    0x858667e6, 0xd6f48591, 0x820b2a4c, 0x64af6a81, 0xf08c5da7, 0x05635fa8, 0x0f8a7552, 0x6f56b6f5,
+    0x9c551ec7, 0xfa8d2069, 0x9e5d86f4, 0xd449381f, 0x429277a1, 0xb21b4032, 0x806b8c8a, 0x31f577fc,
+    0x9b3c8376, 0xad4dcf5f, 0xa7dd2ef0, 0xfb2b1473, 0x97cfe8a6, 0xb3069452, 0x804f5545, 0x1f8b2be3,
+    0xea54b45c, 0x973bf27e, 0xc0360507, 0xbbc68a4e, 0xb5b7a85c, 0x6910aed2, 0x6acdb72e, 0xad75bf7f,
+    0xb4a4952a, 0x47fcec5d, 0x56dd1267, 0xdd80a041, 0x2a106d12, 0xf11f2569, 0xdcd51363, 0x21b3a931,
+    0x95698f02, 0x65a375e1, 0xe13da271, 0xbcff0e99, 0x9d5ae058, 0x095eda24, 0x4c29a21c, 0xb41a0504,
+    0x610c1c5e, 0xcaa4ccd3, 0x4ae37ee8, 0x48702764, 0xc55777c7, 0x4197eadc, 0x44702254, 0x70722fb9,
+    0xf4dbcfde, 0xd66ec995, 0x74662461, 0x9f5722c6, 0x837bb02f, 0xe80b124e, 0x104f6132, 0xaffe4aac,
+    0xb9635d72, 0x78743781, 0xe17e8962, 0x97238355, 0x4db5a416, 0x32c16e5d, 0xb0ef7838, 0xd692a0d3,
+    0x3ec0257b, 0x20de203f, 0xc93efbc9, 0x331d3f30, 0x12cf8c20, 0xe367925d, 0x5d9a3696, 0xd9573b23,
+    0xbd27f1cc, 0x8e12e1cc, 0xa98621eb, 0x92db5b65, 0xfad817bf, 0xffc550a1, 0xfa26b355, 0xdb9d1357,
+    0xcac53418, 0xf4cedcd0, 0x5e7520fa, 0x5521df7e, 0xbf5024a3, 0xd3294a34, 0xa44a1d3a, 0x9ea2856d,
+    0x46db844a, 0x3275c9f2, 0x46c44e46, 0x60165a7d, 0xc2bf3cf8, 0x3a1085ca, 0x8b66d175, 0xffa936b4,
+    0x966142c2, 0xc2874a93, 0x6f7d716c, 0x6a92b62d, 0x66548e9e, 0x2d5fdbef, 0x6a9160c8, 0xaa44f080,
+    0x5d3ed625, 0x1f17a956, 0x89ee779d, 0x8510163f, 0x2b57afc1, 0xdf7b5331, 0xdb8cd4b6, 0xbcb2d0cc,
+    0xa232cb79, 0x92fbcee0, 0x3ab6bc97, 0x1cc9c17d, 0x4ea4994f, 0x8325f9d9, 0xcf0af796, 0xd6468086,
+    0x1f4e838a, 0x10164c37, 0xe3cd1af9, 0x35ae37ee, 0x8cf4d0ca, 0x6717da2b, 0x6bfcc8b3, 0x0254a2c9,
+    0xef2a6eb4, 0xd72503a3, 0x90e70b95, 0xdcc66879, 0x6e7c32d7, 0xba28a4f8, 0x4337b9c2, 0x2ad84b44,
+    0x9d56694d, 0x97777225, 0xef6f840c, 0x341d83b0, 0x234f5b52, 0x8d09e03f, 0x716476d2, 0x0a4cd1f3,
+    0x883846cd, 0x162d3280, 0x153ad295, 0x68b749d9, 0x7dccd7a5, 0x2b0b3351, 0x2f237efd, 0x46f633dc,
+    0xd5b0fbcd, 0x7794e8b6, 0x69d66555, 0xfd71cdb5, 0xf49ff773, 0x37ca4791, 0x4ac26711, 0x3e46e1df,
+    0x344b3b9c, 0xd8afe8f0, 0x8bd537e7, 0xe66413d6, 0xc1158468, 0xf023738b, 0x9c20a404, 0x27bd9cf0,
+    0x0102f534, 0xc0bcd978, 0x87067d90, 0x49f9c9a1, 0xb4b51e17, 0xf0212a13, 0x5ac2542e, 0xde9a83ef,
+    0x1efe8064, 0x0497a03a, 0x9b36c633, 0x9533babf, 0x6e2a7d62, 0xb765eb2d, 0x4f87d6ff, 0xc6d26cda,
+    0x7a641825, 0x6dd2feee, 0xc68f790f, 0x22c40a65, 0x65e1dceb, 0x1205ac6d, 0xfea5b968, 0xdb8eb330,
+    0x06fc4a3f, 0xb5abef6c, 0x3b2adc6f, 0x80ba7f80, 0x089000b4, 0x745804be, 0x34a6d677, 0x7f019680,
+    0xc6f1f4d5, 0xc72ae2e4, 0x5b585b65, 0x44858275, 0x9a5e715c, 0x6c5c2150, 0x65b189eb, 0x15675cfe,
+    0x79050471, 0xfedda2db, 0x00dce5ce, 0x1ab542e4, 0xb5faf1bf, 0x06470faf, 0x67d77737, 0xd9c038a0,
+    0xb095e88a, 0x82c99918, 0xb8b89523, 0x7ca7a6a1, 0x464f30fc, 0x97ea17f2, 0xbcd449ff, 0xedfcb83f,
+    0x024c9195, 0x0cb21ce9, 0x75985cff, 0x1755dc9c, 0xfdd70449, 0xd698f495, 0x073a02f4, 0x807752eb,
+    0x6725032b, 0x0b058daf, 0x3f6faab5, 0x94635287, 0x094593ec, 0x48698629, 0x3b6b6792, 0xef868b99,
+    0xcd4dfe1e, 0x8c09ec00, 0x81b13962, 0x61523134, 0x8fb54043, 0xc196a5c1, 0xf306bf04, 0x3a7bc7f8,
+    0xc674f985, 0x36c76207, 0xb58f3c6c, 0xcb52827c, 0x449a8ff6, 0x48c1a327, 0xc694d53f, 0x3ad4ee3b,
+    0x70885864, 0x4660655b, 0x359afd71, 0xff4246cc, 0x33de4209, 0x2921ffe4, 0xc52c8845, 0xbc048ece,
+    0x3ebcc779, 0xdcd39252, 0x711ba9e6, 0x70252adc, 0x3b7b48bb, 0x303d91a3, 0x5aae87fa, 0x400ae6be,
+    0x79d91789, 0x731c40b1, 0xdb50703a, 0xb294565f, 0xcc276e57, 0xd5f70c9c, 0x5126672f, 0x665b6e0d,
+    0x898fd78b, 0x4237deb2, 0xa186b055, 0x9447acc3, 0x41acc098, 0x0288c138, 0xd04e54be, 0xd833674b,
+    0x1b6da58f, 0x4fab2cb8, 0x41cdb4bf, 0xce1a1b86, 0xc164f572, 0x0288d121, 0x6de1ed59, 0x0acdbf00,
+    0x9471b6a6, 0x1aa30d18, 0x60d9ae07, 0xbf3bcc2c, 0x7def2ee7, 0xbfb95583, 0x34cf5eb1, 0x40754ef9,
+    0x5bd999b8, 0xbfc86186, 0x9ad63c93, 0x0e5f7d1e, 0x1b943709, 0xc69d1a64, 0x53cc77b8, 0x6d51ba41,
+    0xad32133e, 0xaca8bb08, 0xa7e8ecd2, 0x4ee53a10, 0x40f412d1, 0xc7d6c660, 0x15645381, 0xd48785ce,
+    0xac261c42, 0xbd267ee5, 0xac3bb884, 0xe31a7d59, 0x682b4d02, 0x04d1bbba, 0x820bb7d5, 0x6fe2e57a,
+    0xef5ffedc, 0x3a4ac23c, 0xe8fc8454, 0xb07e8af3, 0xde05474f, 0xb191d3e1, 0x67dca2bf, 0xb443eb18,
+    0xcf163bd7, 0x26f4b22a, 0x267b710b, 0xbe053bee, 0xc5a3129c, 0xb1dbadf8, 0x019ed77a, 0xd43cb970,
+    0x3b8b9a8e, 0xc09175f1, 0x8f74c7e9, 0x79c4b48b, 0x540b1957, 0xcba5a1d6, 0xab73cc63, 0xd614c178,
+    0xfca65c68, 0x718074af, 0x69ad276b, 0x6e9d421d, 0xa8d6e477, 0x2471774d, 0x7fe6fcef, 0x3d9fdfe5,
+    0x5a7b306a, 0x61002942, 0x33353720, 0x9a89d25c, 0x332d48e9, 0xed97f40f, 0x23009a75, 0x9dc1df32,
+    0xa8d9fa98, 0xb22263a6, 0x0dbf13b2, 0x7ca601a1, 0x4fce488c, 0xa30a67c7, 0x8d70a368, 0xd6be984e,
+    0x9351ec7c, 0xd9c6cacd, 0x46e85004, 0x2943a1d9, 0xfcba9c63, 0x24608441, 0x589ea853, 0x787a6fbb,
+    0x1bafdcf7, 0x5328adaf, 0xf9fe4227, 0x184e6996, 0xc68a33bd, 0x108f7886, 0x57d30be0, 0x9fb04a94,
+    0xbe28ef18, 0xa77e6800, 0x97967c9a, 0xe596591b, 0x19ba96c7, 0x50147ad8, 0xf1a7ed5b, 0xfc279780,
+    0x60671eea, 0x11718ba0, 0x8a502e6e, 0x1227f237, 0x35be9dfa, 0x1740069d, 0x346438a3, 0x4f693a6f,
+    0xc5b986bc, 0x264f2930, 0x8781d9ad, 0xca20e26f, 0xe51f61fc, 0xd79c3c01, 0x4d37fd8a, 0x73474ac3,
+    0x4f55329e, 0x192e99e6, 0x8d5345b1, 0xff544e5c, 0xe0aed074, 0x58bdb191, 0xf8234e1c, 0xffecc889,
+    0x079f4a55, 0xe4006a34, 0x3d295ffd, 0x171152f6, 0x4a8b630d, 0x42dfa4c6, 0x9b3aeb1b, 0x5d8e4bb9,
+    0xa2ecd1b4, 0x1845c854, 0xeedfd643, 0x9304f9e9, 0x94779250, 0xc8a0bd99, 0xf8b956ae, 0x791db3b7,
+    0xf9faea9f, 0x75a569aa, 0x2850a7e6, 0xc3e5eff7, 0xd87a9d46, 0x1eedacc7, 0x0200dff0, 0xf43cb3c2,
+    0x7f1c6a72, 0x444c987f, 0xb8e3bd69, 0xf54f906c, 0x4e6f4714, 0xeccbda3a, 0xc3c2c434, 0x2cf43ae3,
+    0xc23f1c2a, 0xad36772a, 0xf69feab8, 0x047d06ed, 0x60278c38, 0x791e3e3e, 0x899d106c, 0xa263420a,
+    0x21f9036e, 0xae0fc919, 0x790217e5, 0x49248844, 0x88e58fb9, 0xf3536fe3, 0xd292853f, 0x18b15f75,
+    0x8d886faa, 0xa33fda3a, 0xaf0b2873, 0x1bbec3fa, 0x1ac00291, 0x251d406a, 0xb7f5857b, 0x683babdb,
+    0x850dbdfb, 0x67379c14, 0x786f82dc, 0xa8fecb74, 0xcffaa2ae, 0xa47efec9, 0xab8e637c, 0xd8665586,
+    0xf601cb41, 0xc6977beb, 0xe62360d6, 0xbe4a2d1e, 0xf0d72f66, 0x707a80c1, 0xa209d76b, 0xcf4b1a84,
+    0x62351c84, 0xf07e54d4, 0x098d08a9, 0xc1d171e5, 0xa1e18d8e, 0xdd44ac16, 0xea1443db, 0xe33da3d7,
+    0x4b428808, 0x5c146556, 0xb7660d5c, 0x9f648900, 0xbcd4de27, 0x3e33d79f, 0x1d585530, 0x3deee5aa,
+    0x595834fc, 0x9fc72959, 0x361d3141, 0xb98c0657, 0x4cab2102, 0x677211bd, 0xfaa159ff, 0xbfc4b3e9,
+    0xe01899f7, 0x4127c9e3, 0xed8e69d5, 0xe5901909, 0xce408e71, 0xc6d403f9, 0xe8fadbf8, 0xd6972966,
+    0x11d06dd0, 0x7abc0730, 0x361eba5a, 0xad4a8972, 0x69d2f818, 0xe0cdda42, 0x5736105b, 0x3525023a,
+    0x99615a50, 0xeb393a71, 0xf5704ed8, 0xcec87035, 0x27a49bec, 0xcac4cb2b, 0x96519205, 0x7f1febbb,
+    0x69624368, 0x5cc36837, 0xd547f1b7, 0x8fd28ba7, 0x3c477e32, 0xab0925c9, 0xc928f36f, 0xcd4b4cf9,
+    0x750fbe83, 0x263418ce, 0x742f1fcd, 0x55c570f5, 0xcde8ce9d, 0x5bed12a7, 0x560decfc, 0xcf6796a5,
+    0xef91eef2, 0x17bb0106, 0x91485e8f, 0xd63ce191, 0x0230278a, 0x545a5dd5, 0x76ea8453, 0xe6768055,
+    0xfeca5cfa, 0xefe31cff, 0x8ef80cbd, 0x63c253d4, 0xa7a2a94c, 0xda3d0f3b, 0x62098043, 0xb3b35a59,
+    0x6c5da23b, 0xa4ade3e0, 0xb988a319, 0x3cbb889d, 0xd427339c, 0x3ba518b4, 0xae7f9c3b, 0xa35c55f8,
+    0xaef88595, 0xfe19dbbd, 0x370788a2, 0xf935ed67, 0x6aa8a684, 0x5e9b9443, 0xad01d4de, 0xaa48095d,
+    0xd707f9de, 0x7597bc4a, 0x16acdf4a, 0x30bf0ac9, 0xaedb80d1, 0x3adf3bc6, 0x869a72f7, 0xa1719ea5,
+    0x787432a7, 0x0db8d304, 0x5382719b, 0x9710b607, 0x007ab8f7, 0x5c751d3f, 0x36d90905, 0x38145a98,
+    0xe6fcb321, 0xf3ee3f7b, 0xb3d5d511, 0x0b624ce3, 0x8f5c8c5d, 0xec8a2dc2, 0x2c61f600, 0x7e26ba3b,
+    0x6f821d22, 0xaf42531e, 0x21b8a243, 0xa0ac31b7, 0xfc02e8cb, 0xd3e95572, 0xd08b939d, 0x4d9c7006,
+    0x2ed2c811, 0xbccd1ef3, 0xfbb95177, 0x67188579, 0x1d25b90f, 0x023eff43, 0x6ae512d8, 0x198176c8,
+    0x70c44685, 0xc82c4663, 0x180d9109, 0x507b8f89, 0xe5a2da14, 0x1564de07, 0x6aa29d1c, 0x595d54b4,
+    0xfd658a16, 0x14d15b17, 0x92c2eedf, 0x422b9df8, 0xc8ef81e5, 0xcae3190a, 0x14b836c3, 0xef7b4fbb,
+    0xfd22ce65, 0xcd476acc, 0xbf93bf48, 0x65829f07, 0x41dde5be, 0x352d8a96, 0x84491be1, 0x65f47c92,
+    0xfbdb3fa3, 0x1ca82d2e, 0x150cf4a2, 0x2a256401, 0xd0a46585, 0x26a465cb, 0x08dd4522, 0x56229164,
+    0x41277504, 0xf5157ab2, 0x1af154af, 0x36cb8ba4, 0xc6087ac2, 0xe09dd642, 0x304a0ac4, 0xe0453029,
+    0x513235dd, 0xe652304a, 0x4e324c84, 0x055177f4, 0x81a5e08b, 0xbf9877f1, 0x7a5baac0, 0xe157bf4f,
+    0xf0c355a6, 0x96981740, 0x7ccc311c, 0x64b8200c, 0x4e946256, 0x562523aa, 0xa84ad477, 0xfe424c87,
+    0xede65eb4, 0xeff0c33a, 0xcc3e0cad, 0x95395d1a, 0x9086141a, 0x1f393f9e, 0xf14343a9, 0x82557d39,
+    0xe2ae76c5, 0xae84c4cd, 0x867f7f27, 0xd76a1fc0, 0x9d7eaad7, 0x81cade21, 0x9aac76ab, 0x14ad6d5d,
+    0x92bc2a37, 0x1785c4a8, 0x6d5757c2, 0x32ea2b13, 0xcf114bce, 0xc9062fad, 0x665adc33, 0x52fcb836,
+    0xd80b10e0, 0xc62a624e, 0x1c3f97a9, 0xee78ca5e, 0x58d7bde4, 0x816bde54, 0x22b5a292, 0x27605772,
+    0x66a579bc, 0x0bb4d5c2, 0xf78820b6, 0x14b94147, 0x21c73053, 0x4fae646f, 0x8c202de6, 0xe3123d40,
+    0xe338a355, 0x78ff40f9, 0x0baa0582, 0x6b95de8e, 0xce7597e1, 0x8e0d4b44, 0x2561a880, 0xd9f11830,
+    0x60fa3164, 0xf4968a27, 0xf445bb3d, 0x05ad90e6, 0x79cb6ff4, 0x3d21eea4, 0x8873a9f0, 0x8afccd4f,
+    0xa4dc5e4a, 0xd8929415, 0xbd7075d8, 0x12297fbb, 0x04f5a622, 0x3960c0a9, 0x000cc067, 0x0a4d0410,
+    0xd1fbf929, 0x25f2f059, 0x264c968c, 0xe2d7e07b, 0xde7e6925, 0x737ef375, 0xdb82aa08, 0x50860434,
+    0x0a6f4dce, 0xf4a9679b, 0xcbc9e038, 0x5b5993d3, 0xa0cdc27f, 0xc2c131a3, 0x493e6632, 0xa7511564,
+    0x9e31d876, 0xe29691ae, 0x7df3a6c4, 0x4e7d46e1, 0x9aadb6e3, 0x08044c2c, 0x90346448, 0x16a768df,
+    0x22d97e00, 0x8276f477, 0x983e1491, 0x28c0c63e, 0x74af4c4c, 0x7a83f00a, 0xea4d87b8, 0x39e0fe53,
+    0x763cd4d8, 0xb9fb26c2, 0x3f9d975c, 0x0eb15ebf, 0xc3fe5b50, 0xd61215ec, 0xb5d43f38, 0x6260cbdf,
+    0x7d1a6f9d, 0x5189a956, 0x3f8b5c3c, 0x08804442, 0x2611a26a, 0x56dae094, 0x2f7470f5, 0x0e84dc65,
+    0xbece759a, 0xed64546e, 0x52513a94, 0x9c357aae, 0x2fa0fe21, 0x55ae5ca0, 0x8b0a97df, 0xde90dd90,
+    0xdaa16113, 0xcd621b6c, 0x71b5ea63, 0xbb7514f7, 0x5bdc753f, 0xccbf0e07, 0xd65c9172, 0x388f890e,
+    0x89b16876, 0x049e47b4, 0x7689052e, 0xb1f4b183, 0x7cd67a72, 0xc967992c, 0xa4b09988, 0x367eb16d,
+    0x5cb00b68, 0xac585f4c, 0x35e79d38, 0x3e017449, 0xb3bf6632, 0x49a7a5c4, 0xbf6d739b, 0xba56aedf,
+    0xb9b3486c, 0xd85a37fb, 0x6a1c3548, 0xdc749f2b, 0xa577a069, 0xf9c73296, 0xbda5437e, 0xf9516b21,
+    0x00000000 }, /* 10**00000000000000000000000003465837117651018574473017730178854629295546344219770\
+                         71896309947576827663475703202879996800763017447262173901370175446478621769728 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b,
+    0x3ad4e91b, 0x6ac8082e, 0x7859d066, 0x50fde9dd, 0x51f3a3e2, 0x4beab63a, 0xd0bd6143, 0x5ee48055,
+    0x00000000,
+    0xa47ea4a5, 0xed6beff2, 0x21ec91c4, 0x667f9051, 0x40061ff8, 0x585122f3, 0x37f6409e, 0xc090e819,
+    0x0c87adde, 0x32ac7482, 0xc75f050d, 0x20351ed8, 0x2eff94ba, 0xafbed43e, 0x2e48b56b, 0x1de02d8b,
+    0x5c1386c2, 0xdf384c37, 0x7d4b270c, 0xd628845b, 0x1beed191, 0x805204e0, 0x00b09e95, 0x4cc505fe,
+    0x38720ce1, 0x31dab5d9, 0x5e8bc98e, 0xcc763309, 0xbaa2321b, 0x8b0886ca, 0x9a29d761, 0xcf30fd80,
+    0x3eb647d6, 0x209a4c16, 0x0d4b97da, 0x78e9733b, 0xe6289fc0, 0x239ac924, 0x3ea3968f, 0xeaca914d,
+    0x64c62e23, 0x8b5678b4, 0xb5cbfe63, 0x0d4fb776, 0xda3abc4c, 0xdb233eea, 0xa602df84, 0x9263dde5,
+    0x6264d383, 0x71d1d82c, 0x795327e1, 0xdf83c184, 0xf722e73d, 0xc67bdc72, 0x90f8f329, 0xcd7fa9b1,
+    0x12804c24, 0x6f53478f, 0x14d5a5f9, 0x96c7846b, 0x6a28e07b, 0x35796ca8, 0x54258f60, 0x84c0eb5a,
+    0x01806404, 0xd550fb6f, 0xb5cda103, 0xe107db2d, 0xa5341983, 0xbfdc1d4a, 0xfad7e9bc, 0x9244ed1d,
+    0xa8bc856c, 0x3ba63b0d, 0xf2dd6810, 0x8352c050, 0xca28adc5, 0x308d0296, 0x241e4ab9, 0x4f76fb97,
+    0x50305cd9, 0xab64db96, 0x16ff6e2b, 0xb7018e14, 0x48c67248, 0x7bfb6457, 0x2749ba13, 0xb93e2868,
+    0x8750b2ff, 0xa0c026f8, 0xd5fba4b6, 0xe2071638, 0x7a5ef165, 0x0d8d2464, 0x1ee9bbe1, 0xda6ec872,
+    0x71ca00e8, 0x4020805e, 0xdf6aeb7b, 0x21bd97f2, 0x35b10bbf, 0x3f6eefd8, 0x5e56dde4, 0xa9bd210a,
+    0x3c6b26ee, 0x62ac2a3b, 0xbce8374f, 0x28de9997, 0x5625ccdd, 0xde1b4aa9, 0x1206f5fb, 0x9b91bb25,
+    0xd45c933b, 0x19872da8, 0x3fddd834, 0x6e0ba7a7, 0x1ac86e55, 0x68707c29, 0xeceed8d4, 0x3f5c8ffe,
+    0x1786af55, 0x07f9d8b4, 0x71018897, 0x39436ad8, 0xf1b7c8a8, 0x802a6ee0, 0x725f885f, 0xca7d4fbe,
+    0x74549490, 0xdcd6f31b, 0x118c3d64, 0x57ac2422, 0x08dbeeb2, 0xf630fe4a, 0xf767cc5f, 0x943f6bb1,
+    0x935827ac, 0xacd8ef18, 0xe3518950, 0xf0f509cb, 0x050f7381, 0x1b8d589d, 0xd6925e6a, 0xfebbc9a6,
+    0xf777a537, 0xf10d604b, 0xfec24b39, 0x186d707f, 0x79887613, 0x0c8fee5f, 0x4bf86e04, 0x130d680e,
+    0xf67c5bb8, 0x02740283, 0xb85a5261, 0x879c201e, 0xcaf78ac4, 0x2e2c8e63, 0x1c36062d, 0x471ad0d5,
+    0x60b408ef, 0xb7f08ce6, 0xe97609e6, 0x7aa9287b, 0xa7eab2ec, 0x534654a3, 0xe2c23bca, 0x58fd44d8,
+    0x0a1d95c2, 0xcdb7f522, 0x827f9747, 0xb9d2f83f, 0x1f7ad69c, 0x1cd8c2e8, 0x6d57e049, 0x7ae6aa3e,
+    0xeb1648e7, 0x7ca5d492, 0x4182503b, 0x91efe175, 0xe3ee8b65, 0xa7b7b35e, 0xaa81853e, 0x8f05c29e,
+    0xaaa567dc, 0x6cb7f8ca, 0x7a105257, 0x1c9f95ee, 0xb66edf76, 0xc86f58e7, 0xc943c2c9, 0x399a4ca8,
+    0x8c278207, 0xf7aa0106, 0x35065d10, 0x35716444, 0x559ce687, 0x7c1ef6c7, 0x8252e1dc, 0xa4f9f42e,
+    0xbdfbe47b, 0xf0affecb, 0xae286c48, 0x6e821e97, 0xcd3538fb, 0xc096e865, 0x8089d1de, 0xc0304cc4,
+    0xc69a92d5, 0x9fa9a81b, 0x2a96c306, 0xa9c91162, 0xe1e9abd1, 0x413df6b7, 0x734d5419, 0xf798f4cb,
+    0x7d069d5f, 0x718a4e00, 0xc20130cd, 0xae070df8, 0xa1c02f96, 0xa88675af, 0xaa524e0b, 0xf037f91a,
+    0x15c4f1de, 0x73fa73de, 0xb769c1da, 0x830847e3, 0x972b5b62, 0x76928de9, 0xd916ab11, 0x8959c2b1,
+    0xbc05d437, 0x44c974d9, 0x3272d25a, 0xa02b3010, 0x3a9c21ed, 0xbee8470d, 0x06eae0c3, 0x4f42170d,
+    0xf1bea397, 0x521478e9, 0x81732c9c, 0x9033a763, 0x9e7493ca, 0xf771e0d0, 0xaf77598d, 0x877b0098,
+    0xace20bf0, 0x5be9e352, 0x63cd4659, 0x54d1c23f, 0x6ab8a152, 0x90128d56, 0x4dc10aca, 0x7c861b9e,
+    0x952dc222, 0xabb60c90, 0x54204047, 0x8f6da833, 0x1ed2359c, 0xb6061b89, 0xf39a8fa7, 0x34970192,
+    0xe534248f, 0x7928cddc, 0x76622e74, 0x01003c9d, 0x9cf01e72, 0x989c7dc4, 0xd06b93e6, 0xd5be69b9,
+    0x38e84af8, 0x4b6db9dc, 0x5e8b7ec7, 0x49f05a49, 0x0458b36f, 0xad7b4357, 0xf1c464d2, 0x64a38b52,
+    0x2486d3e2, 0xa524ee5b, 0x9445d55d, 0xb46eadf2, 0x4e2036a7, 0x41f2c3d2, 0xdf3a790b, 0x61d310b4,
+    0xf31ea3cb, 0x553dd5af, 0x40798833, 0x2a26e699, 0x5d178271, 0xae91efe2, 0x25a50c86, 0xcb2bf971,
+    0xf20d5dc1, 0x0cec2ca7, 0x2fd885e4, 0xea0770dc, 0x0138aa77, 0xcfcaabc2, 0xfdeae3c1, 0xd2e6e8fb,
+    0xb8dc444a, 0xcde641cc, 0xa87754bb, 0x8adc12ca, 0x8a6e6f0b, 0xb7af4ccf, 0x5c17f6ec, 0xc5a3c59e,
+    0x8640e376, 0xd6c25253, 0x067b3549, 0x2cff9940, 0x1634ea09, 0x9d641358, 0xd5257fe6, 0x0a628e9c,
+    0xb8af5969, 0xeeb5cb3f, 0x080e981d, 0x7306208c, 0x2e164893, 0x7f1bab7a, 0xa452389e, 0xb26575a1,
+    0x04ed54c4, 0x3240c2d6, 0xadeba311, 0x35cfd1d6, 0xe597bd2c, 0xc451f393, 0x959fe2e5, 0x97819a47,
+    0xcd277373, 0x56eb5899, 0x0e1531f6, 0x197e099f, 0x03808dd5, 0xa1e39349, 0xebd29cf9, 0x0d5c1561,
+    0x35168210, 0x277643f4, 0x235c26a2, 0x0fa6009b, 0xcbc23c04, 0x34157cc6, 0xb072dad2, 0x43e8ab51,
+    0x4e726beb, 0x538ac8dc, 0x1c8c2816, 0x68424034, 0x284ea705, 0x50869527, 0xf070ced7, 0xaa13d4a9,
+    0x4be55c2e, 0x079a26c7, 0x5fd1f7d3, 0xf2f26a8e, 0x0e80c953, 0xc38f6e01, 0xa17f05e0, 0x8f8e4ed6,
+    0x9d8ea15a, 0x9b6f3760, 0xbcf217a0, 0x33b945e6, 0xf18f6522, 0x2b570f4b, 0x70a7323c, 0xe1743af3,
+    0xd0ca53cc, 0x718cc31e, 0x7919fe31, 0x12f3c7b8, 0x2d16421b, 0x65a6fe08, 0x74a36398, 0x1caf7383,
+    0xe5da603c, 0x83ed6178, 0x693068f4, 0x9cfd0585, 0x5ded090d, 0xd43b2ddc, 0x4313dbd9, 0x6b5ca9d7,
+    0x67705576, 0xf4696c9f, 0x3de40e34, 0x4568244d, 0x91c7f74e, 0x57e31779, 0xd4dbd3c0, 0x99f227cc,
+    0x8ecd970b, 0xb87cd387, 0x4c517c22, 0xa488af1e, 0x08351ebe, 0x438e01c1, 0x8d0d3c42, 0x559bde9a,
+    0xea89b701, 0x9dc70e2f, 0x7f2ed951, 0x328912c1, 0x289730b0, 0xdcd04e92, 0x12b5845d, 0x6d4d163a,
+    0x32520860, 0x1ce967ce, 0x0fa071e0, 0x0969a8ad, 0xbf4073a0, 0x759c255b, 0x8732b60d, 0x6f62e329,
+    0xf7532b4d, 0xa3a8f972, 0x9911471d, 0x5cea8046, 0x81d67e46, 0x47eb8d1c, 0x4fae9d43, 0xa738776d,
+    0x75caf349, 0xa42f195a, 0xcc7dd532, 0x5c283983, 0x24cf4e02, 0xfdcf8566, 0x2233f14f, 0x0f71ba41,
+    0xbd0b0c08, 0x1b36ee98, 0x0fb86d22, 0xc014c3c3, 0x77673adf, 0x18339e29, 0x2d00cf50, 0x09fe6bf9,
+    0x4b6cac06, 0xaf094197, 0x53251c1f, 0xd55f9002, 0x0daeae5a, 0x4d4821a5, 0x7c4bc031, 0xcdfcaa01,
+    0x11ea7860, 0x80a880a4, 0xf005554a, 0x32fa7dbb, 0x4816b4db, 0xcb07f5b8, 0x6a979b59, 0x3d3aa3b9,
+    0x289bd233, 0x395faccc, 0x1b28194c, 0x016f943a, 0x37a8f434, 0x4928971e, 0xd30f4dc5, 0xd00b428e,
+    0x8515a14c, 0x90a59b11, 0xfaf344f3, 0x8a9e14cb, 0xf3a754ae, 0xd05a3de9, 0x94951143, 0x0efa6902,
+    0xd23070c2, 0xac6e2bcd, 0x0b3b452a, 0x8c1806f1, 0x736a9880, 0xfe004da1, 0xe549013c, 0x0dddeb56,
+    0xcefbd3c2, 0x2f222ff1, 0x62b22990, 0xdde2e400, 0xea9b954b, 0x1d6586cb, 0x93f261f4, 0xdba1e2a8,
+    0x905e27e1, 0xa40e9e46, 0x51b17dc4, 0xce1b7a67, 0xcf7e0229, 0xf50c0ba9, 0x4e2da2f1, 0xaafa3396,
+    0x8ce986d3, 0xd64ac53b, 0x81444815, 0x61c495a2, 0x68578ddd, 0xb142dfbd, 0xb3a3f39a, 0xe3bdd4c8,
+    0x6b53e2a3, 0x36eae8f0, 0x08d31435, 0xc05c2f2c, 0x7165a9a7, 0xc0b2a375, 0x324b1344, 0x28687539,
+    0xe5c008b8, 0x81fac34a, 0x31443599, 0x0ac5d05c, 0x58c53134, 0xa20d0f92, 0x21066e76, 0x0b09f64d,
+    0x15371896, 0xd975bc94, 0x6bb13452, 0x10e27027, 0x9eeee726, 0xb7a4afef, 0x1c3b6577, 0x163c1b58,
+    0x3c1155d5, 0xda2dcadd, 0xb1c314da, 0x22005332, 0x66bab4ca, 0xa1312028, 0x10d2146d, 0x9c11f7b6,
+    0x8d3e3c63, 0x8253960e, 0x26f88360, 0xad5dfde1, 0x6fe36f0e, 0x1fcd442e, 0xa4915e5f, 0x20524d15,
+    0xa2957314, 0xdf921c22, 0x775c09f6, 0x44fb61c2, 0x6678cee5, 0xc6223620, 0x842e614e, 0x565b19ae,
+    0x694fbf6b, 0xa0c04b92, 0xc27522f9, 0xc3d1475c, 0x41104250, 0x14b00791, 0xc9560d1f, 0x4e9825e7,
+    0x3f6f6cd0, 0x9cfc2abc, 0x6bc4654c, 0xa5e8c08c, 0x132db9ca, 0xf27498bb, 0xf3dc97bc, 0xe5394711,
+    0xb9555cb5, 0x74f66e5c, 0x3058b713, 0xc761b926, 0x3adda771, 0x18d18afa, 0x60cebfe7, 0xcd43a362,
+    0xa69aecf4, 0xb66fb802, 0x95b4407c, 0x220954ae, 0x4d3543a3, 0x7d491f77, 0x5dce15ea, 0x28cc40df,
+    0x809ac456, 0x8549850b, 0xcc829503, 0x45382778, 0xa7875f04, 0x24e08a73, 0xdc27ff32, 0xe616a5d5,
+    0x692eaf91, 0x00f7ac4f, 0x0283a6aa, 0x571ea4cb, 0x7f9b69e3, 0x727805f9, 0x0c28efb5, 0x60482d98,
+    0xab4795ab, 0x54860f21, 0x88856d67, 0xaf6504d1, 0xe6dd7da9, 0xae4dc785, 0xc5fd38bc, 0x4703b797,
+    0x06534fee, 0xf307ec5c, 0xeb288832, 0xf68b3a62, 0x60425e28, 0xe71d33ad, 0x8d862acc, 0xa7c15dcb,
+    0xa1f64f22, 0xd1f23929, 0x7898b6b1, 0x4f3d69be, 0x5ba932cf, 0x83a41d3f, 0x39fa5ee6, 0x9cfc2948,
+    0x920aefb4, 0x6de0b692, 0x73df9d3c, 0xe7a0ae76, 0x84e9e566, 0xf9c79c2b, 0xfb3ef712, 0xfe750459,
+    0xff273cc5, 0x696be4e1, 0x02833bd3, 0xbf0f6861, 0x67179ec7, 0x7a777e21, 0xcfa750e2, 0x982a1d6d,
+    0x8e23955f, 0x241d9f61, 0xe462567c, 0xf4eda2b5, 0xabfcf4c8, 0x5b56cd7d, 0x357aaf37, 0x1e4aa49b,
+    0x52008ad1, 0x17e1a42a, 0x2b24bfca, 0x9ac85de2, 0x3dc2b8b4, 0x00396b53, 0xb5b18333, 0x7fd97947,
+    0xbffbef77, 0x222b71b2, 0xad2aaec2, 0xaa3275f3, 0xfb6ca74a, 0xf0559e94, 0x7b02b2e3, 0x787ac31c,
+    0x472bc237, 0x16f78564, 0xfbc7a0eb, 0xf2046471, 0x3ebb8c6a, 0x5b8fe93d, 0x6084eb06, 0x02e07e0e,
+    0x3569f624, 0xc7f44a02, 0x0b6261fe, 0x25e74ccb, 0x7ee35a8e, 0x5e3e9d27, 0x2297b6cd, 0x7511a4a3,
+    0xf9b3d74b, 0x199a9f8e, 0x729600ee, 0x88a00137, 0xfe9dafc0, 0x89738158, 0x526e8ee5, 0xd16b8d01,
+    0xdb429897, 0x856b2e35, 0x83ad7826, 0x2daa46c9, 0xd7a10e43, 0x87551a5c, 0x935e6652, 0xfe897c7b,
+    0xcffaf337, 0xf6603368, 0x07373299, 0xd612f5f8, 0xc5bf0c1b, 0x41eb58bd, 0xf469e3cd, 0x1a42b58e,
+    0x3ff19eb0, 0xf64b2e51, 0xa2587c88, 0x69e9ca31, 0xb60d4fe0, 0xcb7eebcd, 0x3c68fe75, 0xb2b73980,
+    0x75792207, 0xdf54957b, 0x8d5f359e, 0xed8b8c70, 0xc0155714, 0x82238f7f, 0xdf7e0abb, 0x3fd0dc04,
+    0x913e0c25, 0xf514b7c5, 0x4a35c91d, 0x2f589072, 0x2d6fd594, 0x39b2d8c4, 0x737a62f2, 0xd13a5a76,
+    0xe504d84c, 0x5b95d029, 0x74cc0b1a, 0xa00fa124, 0x350fcdd3, 0xb87f49a6, 0x47e60447, 0x017e8d22,
+    0x8f363195, 0x086e9e11, 0x5e15e359, 0xede5a30f, 0x1f6a1ade, 0xeff5199a, 0x92dec070, 0x264ea44a,
+    0xe0c9014e, 0x30ecd842, 0xd806dfc7, 0x62dd58a6, 0x51157771, 0x92836360, 0xd7bbea80, 0x9309de3c,
+    0xf875f522, 0x55fa6fcc, 0xde42a5b0, 0x40fd584c, 0xfa8c8705, 0x793c278a, 0x46f0a110, 0x5837d44d,
+    0x31443b07, 0x0cf89fa8, 0xb6702fb8, 0x7a31f1ab, 0x8db7941b, 0xf6f97798, 0x44600818, 0x79dea0cc,
+    0x3857fa31, 0x2f73d667, 0xc8665137, 0xdb3057dc, 0xc7ccbc9d, 0x607227eb, 0x0f640df9, 0x65635e97,
+    0x189e45c7, 0x9a35fa09, 0x969bacdc, 0x1554b92b, 0x09542ccd, 0x2c58d341, 0x8fdddd23, 0xcea5fe93,
+    0x6dd6c287, 0xbd57d176, 0xd0ef4fc2, 0xc9569863, 0x50a81be4, 0xd5b78b3b, 0xa9bd08b6, 0xe9ed82e2,
+    0x0981fe9b, 0xe023e67a, 0x5d3e35cb, 0x3843e51d, 0xbafc90a9, 0xeed4a4fd, 0xab467550, 0xdba3ec93,
+    0xcf57a865, 0x88a46e71, 0xd6dc553d, 0x557f73ab, 0xf7ae25f2, 0x41c04337, 0xa52adf1b, 0xafcd25ff,
+    0xc3458a36, 0x0c33f7fc, 0x3a1f70ee, 0x33bfc02b, 0xb8e4ef71, 0x6484d945, 0x24cc6ca0, 0x64e6222d,
+    0xd76c9608, 0x2679fca3, 0xb01130dd, 0x31b6956e, 0xb1c0a289, 0x9990f599, 0x64a1b8e0, 0x062a14f8,
+    0x2ba1ea11, 0x20072905, 0x6d2b1206, 0xf60580d8, 0xa130b2fc, 0x68262fc6, 0xecf2919b, 0xdb041bc9,
+    0xdd7d53cc, 0xe261019e, 0xdbcd711b, 0x99a78e31, 0x31a2211b, 0x8f69b93c, 0xd424ada4, 0xc4cb2c14,
+    0x81fe40cb, 0x78fe7700, 0xa2d560f7, 0x697f4bac, 0x7babf342, 0x9380adf2, 0x2aa6165c, 0xe6173e03,
+    0x4e39c219, 0xeeb842da, 0xdb16873d, 0x7e942974, 0x656160c1, 0xf20ceea6, 0x0e156f7e, 0xaa876643,
+    0xaa2528bf, 0x3f38d08c, 0xcc5f9b2e, 0xbaad4732, 0x6f26828a, 0x0428632d, 0x194201b1, 0x2b18e634,
+    0xd52201c0, 0x2d27f252, 0x54a5b1d0, 0x04cf7d92, 0x22834a36, 0x3c31b4dd, 0xf21af33a, 0xbdb2b27e,
+    0x077981d2, 0xc6941195, 0x1cf6272b, 0x716f9390, 0x59bdc9c4, 0xe28b081d, 0xe57fc37c, 0x25c8631a,
+    0x1762e960, 0x1c8e3a8d, 0xdbc26036, 0xef1655a3, 0x35b8ea85, 0x59bac616, 0x73441925, 0x5108f8df,
+    0xd619d988, 0x7c883495, 0xd6f6844e, 0xa6254e46, 0xa8529d0a, 0x0e140f83, 0xf3bc4557, 0xd963061b,
+    0x74423eed, 0x26a57232, 0x47ea2fd0, 0xf7a49836, 0xa0c0a08c, 0x23f71663, 0xbac72811, 0x3511d9df,
+    0x2a6ed6e6, 0xa6ab864b, 0x170eecbf, 0xc3a60207, 0x8e8e3093, 0x9a734b6d, 0x35b236b3, 0x6269a95f,
+    0x22a2e668, 0xb1e965e0, 0x0c79e438, 0x3ba5bc05, 0xdd52a02a, 0x1377448e, 0x08621bf5, 0xdf00154e,
+    0x0c150fa4, 0x8263af7a, 0xf2f4651f, 0xda7abb6f, 0x86628012, 0x3a42a1ad, 0xe921bedb, 0x567c2f6b,
+    0x2922f8b7, 0x95683ff1, 0xf997bc2a, 0x60838fd7, 0x694a9770, 0x79911c91, 0xae6f527b, 0xed84295d,
+    0x49caa6ec, 0x5b7641b2, 0x067c43bd, 0x1ffadc8b, 0x6a27bbf9, 0x8a0b2caf, 0x75366ef5, 0x8b77fea5,
+    0x7ac3c265, 0x12d9ec27, 0x16e98cdd, 0x0e39347b, 0xded55e58, 0x016baf21, 0x06294ff9, 0xcebcefd1,
+    0x4367fdbb, 0xa1421c2a, 0xd684030a, 0x6d72f206, 0x3b66a10a, 0x0b5d1357, 0x471d4cfb, 0x417f04a4,
+    0xe7586be2, 0x9a908bb5, 0x57ef2cc1, 0x79b2777e, 0x87be8832, 0x03522c1d, 0x3e45a941, 0x231fbf7d,
+    0xc70c3253, 0x0ed95d83, 0xade1f9e8, 0x47ab8865, 0x0cb70ec4, 0x65cb45b2, 0x2d202d46, 0x4db7e890,
+    0x88a4e5ea, 0x977dbb78, 0x4ff5ea03, 0x3466d561, 0xa6a46ad4, 0xf84f390f, 0xfe682fe0, 0x986ced4a,
+    0xceda8ccb, 0xa2abb6dc, 0xb7df8856, 0x8b482510, 0x80ece5e2, 0xf1216f8d, 0x4769c359, 0x89b337dc,
+    0x4c94f564, 0x1b6551ed, 0x39ef1c85, 0x55accd69, 0x57fb0ce3, 0x5804e4fa, 0xb008834d, 0x5669d63d,
+    0x00000000 }, /* 10**00000000000000000000000001732918558825509287236508865089427314647773172109885\
+                         35948154973788413831737851601439998400381508723631086950685087723239310884864 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd,
+    0x9d6a748d, 0xb5640417, 0x3c2ce833, 0x287ef4ee, 0xa8f9d1f1, 0x25f55b1d, 0x685eb0a1, 0xaf72402a,
+    0x00000000,
+    0x911ac1ca, 0x2cf942f7, 0xb7f821ee, 0xa72ca905, 0xd87ee55c, 0xdcd9b706, 0xcd6eb17a, 0x8d2fe622,
+    0x76ff8714, 0x7130ba27, 0x55459e96, 0x12aa3b27, 0x38d47363, 0xf73cd769, 0x4a2e6f35, 0xe182212c,
+    0xd0bbb10f, 0x2908e0e5, 0xa2e2e085, 0x7077465c, 0xb8ac302b, 0xa3aaea9f, 0xb79de451, 0x1953004f,
+    0xb8989a4b, 0xda7f4f9a, 0x2ab1b6f1, 0x1398da91, 0xc5987502, 0x0deda9f5, 0x1993967e, 0x950b2065,
+    0xaf78383d, 0xd1146f12, 0xa5044a33, 0xdbeafc7d, 0xff75d708, 0x6c517b05, 0x92d72563, 0x361f479c,
+    0xd0f0ed5c, 0xdfa96663, 0xaee6f2bf, 0x7d6677b5, 0x59254b36, 0x429d14f6, 0x6e9148e1, 0x92b26d49,
+    0xef2ece71, 0x55de361c, 0x4c57c018, 0xc80ee8b2, 0xa5c0bf22, 0x092a0c88, 0x827f5592, 0x638acfa9,
+    0x450391ca, 0x13548ee3, 0x4637a51d, 0x628eb16b, 0xb60f8645, 0xc494b533, 0x0fd67fe5, 0xdbe9b0a3,
+    0x7ac6013b, 0x5386087b, 0xef52c0e9, 0xcea6c210, 0x0ac2e61c, 0x3b359205, 0xfd97a2d8, 0x77190dca,
+    0x8d7b0f09, 0xa6b38540, 0x4bcde5b2, 0xb2ba74e4, 0xd5beeebc, 0xb314c3df, 0x69db61de, 0x30edb113,
+    0x4317ff12, 0xf68c7719, 0x0f3834e8, 0x93781517, 0x97624972, 0xf70b8020, 0x1a7cd897, 0xf38ae93e,
+    0x886e0f63, 0x8481795a, 0x09f758f3, 0x937fda86, 0x6b7c1273, 0xa6013346, 0xad9b6517, 0x0049d78d,
+    0x2ca9c435, 0x5eded975, 0x8357bcf9, 0xb9adc1cf, 0xbed72de3, 0x5b24f93e, 0x99a72aaa, 0x56c379a5,
+    0x53f16b67, 0x3713ec32, 0xdcc80116, 0xf7949f0f, 0x94af39e9, 0xe9704b23, 0xca964112, 0x80ad086f,
+    0x3a2e53ec, 0xcee1cee4, 0x4950c1c3, 0x27983812, 0x18ba1ab7, 0xcf601c00, 0x3a14b902, 0xa4411e3b,
+    0x2b9c4068, 0x5dd325a2, 0x995c78d7, 0xef79c38d, 0xe85ebff2, 0xd698d559, 0xf530a533, 0x35f81e8c,
+    0x3952ef3e, 0x49a35e6b, 0x9dc33805, 0x7c765d41, 0xce9e5547, 0x5a10810a, 0x50b52805, 0x3f8ad342,
+    0xdc548cdd, 0x31a2ed7b, 0x4dc6cd1f, 0x410cf054, 0x7539c342, 0x08f8698f, 0x89ec2e23, 0xcd77140a,
+    0x3934a13e, 0xb75314d4, 0x47659e7f, 0xea98f078, 0xee529744, 0xffcc03bf, 0x1b94ce31, 0x26b5617f,
+    0x54022721, 0xbd37aba3, 0x745f6937, 0x1487013a, 0xcfa6a80c, 0xd152f601, 0xfc438c79, 0x40b478e4,
+    0xd2a97f9c, 0x09a2e6cc, 0xd903e414, 0x162221ba, 0xec1ef58f, 0x0dee1a2c, 0x7b8aedc3, 0x67ed9c5e,
+    0xc68a1ab3, 0x4191ce33, 0x60501db6, 0xafc8e209, 0xe93d060f, 0x799d6b5e, 0x3a825ef7, 0x5e4a6fda,
+    0x8cc9563d, 0xdab19a3c, 0x8b5eb68d, 0xf384719d, 0xeb144799, 0x9a229fda, 0x9d15a333, 0x3f002377,
+    0x24a3fe94, 0x0138949b, 0x17db46d9, 0x0c16de12, 0x1e6f9ac3, 0x4c75cc87, 0x8dabacb2, 0x10245085,
+    0x427ede9e, 0xb872360a, 0x08598645, 0x2e926d4f, 0x6df9c0c6, 0xf2ef5b9c, 0xc207bd60, 0x1df6c262,
+    0xad23bfc2, 0x72a15a1b, 0x50733708, 0x499c6670, 0xd251a106, 0xfcd62db0, 0x9a476552, 0x02f7f9ae,
+    0xc7d916d6, 0x50231041, 0xa23793a8, 0x5997e497, 0x964c1859, 0x1c7e2b73, 0x1b38b719, 0xb2a26d06,
+    0xbf4e04b5, 0x94c7a3aa, 0xca6a8763, 0xc0550259, 0x4048cc1d, 0xff7a20d7, 0x08a793cd, 0xf4a4dce0,
+    0xca579c59, 0x4135dc04, 0x5d486e33, 0xb554902a, 0x6f695ec9, 0xefebf11c, 0x088c239e, 0x28e30347,
+    0xeaecb587, 0xab349456, 0x41dc5429, 0xa9a7cd57, 0xcab783d7, 0x94b1faf0, 0xefeef5d3, 0x41fc8503,
+    0xa8699c9d, 0x40e2c89e, 0x4d016845, 0x03b9195a, 0x9208ae48, 0xb57af9a5, 0x2d276643, 0xdac6a538,
+    0x4ef1aa7a, 0x831f9180, 0xfb9ace49, 0xcc01a1aa, 0x01e2cec7, 0xbbf6f7f5, 0x5a775c26, 0xa25b479e,
+    0x81f5fbcd, 0xcdbcbf47, 0x2ca70570, 0x0ae72d81, 0x61951632, 0xb8d38061, 0xa2688e2b, 0xfa6a0b1e,
+    0x7448bc7c, 0xc9f74f22, 0x574bd581, 0x0a7e71d0, 0x81fc6fb4, 0x0dd53c1a, 0x4d3c421e, 0xf77406b7,
+    0x6f8bdfa3, 0xe2a77a68, 0x379177c2, 0x6cee56c9, 0x30ae54f4, 0x4bd1bcb0, 0x1f04ff6d, 0x1195ae22,
+    0xfe6b2c04, 0x5f6a3092, 0x03a2662a, 0x81ec8c92, 0xbe31fb58, 0x30dbb188, 0x498bcbbf, 0x1eaf8c09,
+    0x4facd43d, 0x7963650b, 0x44b7f610, 0x381804ea, 0x7cced136, 0x1412a203, 0xeeead18f, 0x3d4eb361,
+    0x86270db9, 0x6e90a8d7, 0xeccce00d, 0xcdbad26f, 0xc3d0475d, 0x64d1157b, 0x6964a584, 0x2f03cc21,
+    0x1091ed8f, 0x20ddf0fb, 0x27454525, 0x826af9b3, 0x7c724f62, 0x61df0b22, 0xe4029d0d, 0x2fdea46f,
+    0x21e86b37, 0xc00588bc, 0x26d6049a, 0x5db7f83d, 0x6fb2b10d, 0x9a337d2c, 0x50621388, 0xd8172920,
+    0x624437d6, 0x66444161, 0x0c393364, 0xe21262c1, 0xc76fd1a0, 0xbf509274, 0xca1678bf, 0x60e0dddc,
+    0x484a9232, 0x5a428fd6, 0x80320cde, 0xa9aaa161, 0x1bd76320, 0x5eddb3a8, 0xebe1b4ea, 0xcf66b73f,
+    0x8ef6c0a4, 0xbf38492a, 0x7ab038a4, 0x78d4e4df, 0x7bf57bcf, 0x25cd52ad, 0xa303a6a5, 0x145e12bf,
+    0xd87f5fb3, 0x818666e0, 0xe9bf7dcb, 0x79523ab9, 0x5c811449, 0xc31cd985, 0x98ce7957, 0xa9495b92,
+    0x1d76013c, 0x058f041c, 0x8878661d, 0x4e1a3acc, 0x57f1b6db, 0x9aedf706, 0x763a83f8, 0x2f9f1b13,
+    0x0ec652ba, 0x85c20cc9, 0x90542942, 0x98ba7e2d, 0x6e00d7c1, 0x0053d303, 0xa5788cf9, 0x715b2404,
+    0xe9670c3e, 0x434f9792, 0x17614d84, 0x50f9b1d1, 0x4d4c83da, 0x4dbacd35, 0x0a55328c, 0xa602cd98,
+    0xca32cc72, 0x2569ba9a, 0xc3744fb2, 0x8362b8f7, 0xd3e5c409, 0x8bfc5336, 0x1d4d94e6, 0xb734515a,
+    0xb3691b23, 0x6f3af5b3, 0xd65f5618, 0x6a2cca4f, 0x8d7f5dfe, 0x13b422f6, 0xbf442346, 0x007e6ae0,
+    0x966d2fa3, 0x81567cdb, 0x1a7d91d7, 0x6b37d68d, 0x544c45e0, 0x65ab7d89, 0xfa320a6e, 0x6db247d7,
+    0x438e81fb, 0xf87178c3, 0xb8d13406, 0x6e72b695, 0xbb2deb66, 0xfeac32fe, 0xe3b33f37, 0x12b9c76d,
+    0x0b2bc26d, 0x4a981c70, 0xb44fd8e7, 0xf9f89f86, 0xcabc20ed, 0x171a7ed4, 0xcf5890b8, 0x4cac0269,
+    0x2f3338bd, 0x19809cbc, 0x8b96d15e, 0xa7ccfd7a, 0x59305da6, 0xc1e304e0, 0x1df0d259, 0xe607753a,
+    0x483f2968, 0xcac638c1, 0x8ac5809e, 0x8e47d077, 0xfa1e806d, 0xca24deef, 0xe1381e60, 0xbc06d273,
+    0xe154f877, 0x6c8eef36, 0x057e6282, 0x7029255a, 0x995158f8, 0x4e52a2e5, 0xb05863a5, 0x8be4439f,
+    0x1cd7ec36, 0xf08fec6d, 0x91ef0a4c, 0x51bf7656, 0xd141933d, 0xf9be7d87, 0x69dd4b58, 0x5505df1d,
+    0x5d55d98d, 0x5ce26d4b, 0x47daab55, 0x0a181dee, 0xbe8cb51d, 0xfa9bf5a4, 0x0e8ba057, 0x1c3cd1fa,
+    0xfae45961, 0x3ccd388a, 0x3815ceb4, 0x22e7b64f, 0xfb838eef, 0xa001cfac, 0xc84de303, 0x2455aba6,
+    0x2172cfaa, 0x2a11ba5c, 0x6d482b94, 0xeea9001d, 0x06512fd9, 0xc0f3dde5, 0xdb241e15, 0xfe2cf35c,
+    0x6c20235c, 0x0fd42f2e, 0x3eb82858, 0x322413b6, 0xfcc9f3e7, 0x23001942, 0x51bd6890, 0x60014a13,
+    0x92a1147e, 0x38e8fc54, 0xa7224ce4, 0xea763d68, 0x7de0f3d9, 0x44cdb8d7, 0xc439a91f, 0x469e86ad,
+    0x904b2a5c, 0x43078b51, 0x5d8fff61, 0xd9955529, 0x5c69d592, 0xef67cd03, 0x811f9758, 0x55cd4ff7,
+    0x6dea85f4, 0x9815b29a, 0x84689eab, 0x6726dbdb, 0x7d315c3e, 0xc10526d5, 0x47d2ab82, 0x06c4ede1,
+    0x9f0bb39f, 0x40437577, 0x26f50f79, 0x90174b28, 0x5d0a21e0, 0x23e4621d, 0x0835dbb5, 0xff53e6d2,
+    0x2f064952, 0x941e9c94, 0x530687c9, 0x4b242070, 0x47627403, 0xbd9bdef1, 0x46158b33, 0x7f8f3935,
+    0x1207734d, 0x2eeca832, 0x413fb747, 0x63aaa1b8, 0x6d685249, 0x0b57d819, 0x833705ac, 0x895d6364,
+    0x35373f49, 0xefe73896, 0x3e3a3450, 0x73c38d68, 0x0d035bc7, 0x4804fcf4, 0x188a553e, 0x967e7305,
+    0xd0581043, 0xf4048756, 0x211b38eb, 0xc9f0ea00, 0xf57a3d5a, 0x835dfa74, 0x078a8758, 0x854855df,
+    0xc3f14533, 0x2305b089, 0xbcb831e2, 0x99df33ff, 0x10ae6630, 0xcd8a14e3, 0x30f9c083, 0xc8f60bbf,
+    0x35a48fcf, 0xaa9d4ed9, 0x44eec221, 0x46cb2277, 0x3fd4345c, 0xbd466146, 0x809b4b91, 0x4869e4be,
+    0x20a32847, 0xb1818de1, 0x6e579ad7, 0x7a0edef6, 0x41a38e20, 0xd632c0e0, 0x5ae15eb5, 0x6149fb31,
+    0x88eaacd3, 0x634b9564, 0xda63c2f1, 0x670ccd2a, 0x5cde56c5, 0xa63f270e, 0xd8055343, 0xf9c989b5,
+    0x7183fddc, 0xe7a81039, 0x036146d1, 0x92131abd, 0xe6f77edb, 0xad6fcd68, 0x549c4506, 0x4f634a2a,
+    0xde44cc89, 0xc6064837, 0x3fd468ff, 0x8b0a63c2, 0x13b491df, 0x5b802ab8, 0xa619b8b5, 0x4130bdd7,
+    0x58bece81, 0x18a177d8, 0xfe22eab9, 0xd84c3d33, 0x8514ab5f, 0xe64a6464, 0xdb229c2f, 0xc65fe3a2,
+    0xe73260c7, 0x015a2de2, 0x7d0a2359, 0x995b0f67, 0x85663941, 0xbde82cc0, 0xdc6de050, 0x66405859,
+    0xd36cf49f, 0x14a80bfd, 0x66d3aa20, 0x13168550, 0x14bf1023, 0x1b630ccd, 0x0107a939, 0xb0804666,
+    0x00986023, 0x5e16cdeb, 0x73624a23, 0xcc912129, 0x02d521bb, 0xdb6b0805, 0x7157e5dd, 0x61e705bb,
+    0x466f5602, 0xc1dc3105, 0x71265ca8, 0xfc9fea82, 0x8a0b0340, 0x96dd013f, 0x6aa54349, 0x12135c54,
+    0x7475d91e, 0x2e680084, 0xa9e6847b, 0x53c5bd0d, 0x3e21e2e6, 0x539d6d7d, 0x64475097, 0x981719b4,
+    0x9b91fcbf, 0x64798455, 0x15f429b6, 0xb00b499a, 0x370ebd0e, 0x02182d11, 0x9b728252, 0x783da64b,
+    0x5c0f0e51, 0xb2e672c5, 0x416d9fe7, 0xb80ee23a, 0x58797c21, 0x67aa8ce5, 0x468bbac6, 0xe04c6e10,
+    0xd4c32988, 0xbdaab3e6, 0xecbc5330, 0xce4e6f65, 0x57b38a2b, 0x4838dc77, 0xe9fe47f5, 0xb7838447,
+    0xbc1ee21f, 0xb18a83ed, 0x8d930aff, 0xc61cc355, 0x0db3a05c, 0x162cd64c, 0x876ce39c, 0x5caa3b49,
+    0x45a0f1bc, 0xe9550655, 0x71625cb9, 0x29bc0c1c, 0xc5e5903b, 0xaf44299b, 0xd22e7cd2, 0x672a133b,
+    0x619fb635, 0xf03adbef, 0xbbd46dd1, 0xab4471f4, 0xcdc2d58c, 0x89717bda, 0x92568e84, 0x1fbab34e,
+    0xe6032421, 0xa05a0a1a, 0xf7c21ab8, 0xa35043a9, 0xe1e3349d, 0xb84e00d3, 0xa572300c, 0x23fbad17,
+    0xde027e6f, 0xe4a6be0a, 0x572b6afe, 0xfece980c, 0x9eece469, 0x164d7c90, 0xb63ca023, 0x5c7940cf,
+    0xc36a2190, 0xa43d9198, 0x797d2e36, 0x658d2a0c, 0x3a3dcde4, 0x27e253a9, 0x409f25b8, 0xd14fd0ba,
+    0x2917c1b3, 0x62352be3, 0x65378c8c, 0xc89b8dc3, 0x518fe9f5, 0x2bcf9d3f, 0xd418cc02, 0xdd69d4f9,
+    0x16f36731, 0x72d5682b, 0xb534773b, 0xcaae865b, 0x81dfde15, 0x55c1468a, 0x4ac3da1a, 0x3b097672,
+    0x93c03416, 0x91d3b22b, 0xc795b168, 0xb8fa2312, 0x374f7a2b, 0x98e36db7, 0x0045fa72, 0x6a5f3b01,
+    0x7cc32836, 0xb02fa467, 0x83a9fc4d, 0x794bbebb, 0x0049df9a, 0x6b958c5a, 0xea6105ac, 0x1e985a08,
+    0x0134736b, 0xd5d38625, 0x3975bf15, 0x8211276f, 0x1cb61e8e, 0xb8b65de2, 0xb52533b6, 0xfebb1b5e,
+    0x991e217b, 0xc3481d91, 0x61e8436e, 0x4a0e783b, 0x08c059bd, 0xbcb21750, 0x3ff8c82d, 0x2b736953,
+    0x84e92399, 0x11fd9d1e, 0xe52cc5c0, 0xd33fe4c0, 0x70ba81ab, 0xa761e16b, 0x81ff4999, 0x0ab744ee,
+    0x4065a694, 0x8dc1b36f, 0x5238f3ea, 0x5239ab1f, 0x82b5b604, 0x0f1d4861, 0x8323fe98, 0x48957337,
+    0x0d0d1c1c, 0x656526cc, 0x3d58c492, 0x5aa3cc3d, 0xa32dabcd, 0xefb8298f, 0x1b720539, 0x3de48de5,
+    0x8a62824a, 0x9fdbb166, 0x9b016936, 0xaa50b958, 0x8f5c76d0, 0x6db855f4, 0x3323d5bc, 0x32d4c324,
+    0x7b305b3c, 0xeb8b6f4b, 0xa63ddb22, 0xebd3235b, 0x62ec8f4c, 0xd6570692, 0x5bbc95d7, 0x12bf5b82,
+    0xc3e8f48c, 0xb867927c, 0x2998325f, 0x07dceb73, 0x937212e8, 0x58441516, 0xadc84f34, 0xef441a9c,
+    0xd53aa5e5, 0x8476af84, 0x89b04d28, 0xd0a81d66, 0x0a62b47f, 0xc5a757e4, 0x6a66d8cc, 0x96d3ea44,
+    0x26cbf363, 0x733014ab, 0x6660c2c4, 0xf4beaf30, 0x9c6a69ee, 0xf4bf0e83, 0xdbb20f45, 0xa24d37df,
+    0x88c26280, 0x3d120a93, 0x6ba5f7b5, 0x55c59f48, 0x73c6be08, 0x62ab5325, 0x4a6e3ccb, 0xeadb2968,
+    0xbe4647fc, 0x28e5f716, 0xac7922f3, 0x1e6cdb54, 0x8f202ab3, 0x532967fb, 0x399fce17, 0x5008753c,
+    0xea07c375, 0xab34b27d, 0x7f009f0f, 0x37ecd8ad, 0x1b908a66, 0xb3cbd7a7, 0xd1ff6e28, 0xe39c2df3,
+    0xdb209489, 0xefbfcaa9, 0x9ff9086c, 0xd48d5080, 0x9a70608c, 0x493d18ec, 0x6e0575f1, 0x25e36b2a,
+    0x0d8fb44d, 0xe85df34c, 0xbf8c1558, 0xa7b9a646, 0xafff123c, 0x9ceddf58, 0xf3afacfa, 0x9c2324df,
+    0xa53cbd24, 0x1f1ace49, 0xc7769ea6, 0xa205b0c4, 0xd49fc4bc, 0x122e6b56, 0x74350032, 0x98e2fec1,
+    0x844e3e48, 0x71b50285, 0x2ed31d8a, 0xe59611fe, 0xd4d57ce3, 0x4e2c7d56, 0x14c3480c, 0xa0c35ca8,
+    0xc054c04a, 0x6739e1c2, 0xd19ab031, 0x4d1877aa, 0x0697403c, 0xe5a49fc6, 0xfb06e097, 0xba7211f2,
+    0x5ffbd161, 0x7fe8174a, 0x93e8e95c, 0x45bacb57, 0xe460d99f, 0x7d561efc, 0xf0dead03, 0x2b6b64cf,
+    0x64bf068a, 0xbf548a70, 0xfbb2c095, 0xe5285b3d, 0x19470809, 0x8178f5bb, 0x40bc1822, 0x32a04ef7,
+    0x086918ca, 0xd3bbd491, 0xfd41ebac, 0x51725757, 0x4fbae969, 0x2cbab5fe, 0xba756e57, 0x953db220,
+    0xa24b753c, 0x12572272, 0x1142e5ce, 0xf268eba5, 0x20d5ca37, 0x4409dac9, 0x259d136a, 0x2b25d585,
+    0xd3c16441, 0xd3befa38, 0xf71e9bfc, 0x825c0bff, 0x0882d7de, 0x575ad210, 0x1b319791, 0x9e526a39,
+    0x19ba1e4c, 0x00d29a0d, 0xbc25e5dc, 0xfea7a7e4, 0x43060acd, 0xf4236a1a, 0x500be470, 0x83d4c206,
+    0x191ee024, 0x6466afe4, 0xf9ac0855, 0xb5401868, 0xa86af640, 0x7c9d5f56, 0xe6d586a7, 0xa7a05537,
+    0xc44eed57, 0x3fc4421e, 0xa10eed2c, 0xcd1e9331, 0x50775733, 0x35528ace, 0x8a22fa85, 0xd86dc511,
+    0xf47fe2f3, 0xa3c30047, 0x67fe5665, 0x908e6ae9, 0xda0e3788, 0xb4323900, 0x5be6d451, 0x3f296b0f,
+    0xa3d1a321, 0x5c764ce2, 0x9ab18390, 0xbb35ccef, 0x1dbf5777, 0x88fe2f6a, 0x4a2d9371, 0x6a92075a,
+    0x30232cb7, 0xddc2de5e, 0x0f84a1b8, 0xf5a9bf47, 0x8295ba36, 0x03ae54d5, 0xabefd190, 0xd4b99b4e,
+    0x6d6c83ba, 0x5253d24e, 0x25a3cbed, 0x3ed4cc02, 0x67b5d9b3, 0xf787128b, 0x330fe728, 0xc6c0e1f9,
+    0x743f83f0, 0xe6c30854, 0x6746b217, 0x590cf946, 0x689d9854, 0xa689f7fb, 0x29b569aa, 0x766675d1,
+    0xc1a51337, 0x8436e0b3, 0x298c23a5, 0xc3b1c760, 0x439bdaaa, 0x9bc74471, 0x8d37815a, 0xd7768879,
+    0x002c0c40, 0x3c53e260, 0x055a07bf, 0xf315fded, 0x3dfbbe45, 0xc8e4c336, 0xd72425a2, 0x0cf8d8f8,
+    0x00000000 }, /* 10**00000000000000000000000000866459279412754643618254432544713657323886586054942\
+                         67974077486894206915868925800719999200190754361815543475342543861619655442432 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de,
+    0xceb53a46, 0xdab2020b, 0x9e167419, 0x943f7a77, 0x547ce8f8, 0x92faad8e, 0xb42f5850, 0xd7b92014,
+    0x00000000,
+    0xc0bc2502, 0x87efea2e, 0xabdd18a3, 0xb25bb324, 0x4042d76b, 0xa02e309d, 0xfbe104de, 0x72684bff,
+    0x81220afa, 0x2e5e7742, 0xb8ae6607, 0xed85c1c3, 0xeb3d39f0, 0x09d28408, 0x78483b67, 0xa3779da8,
+    0xa26b90b6, 0x6afe83f7, 0x87ac2e6a, 0x2f71c49d, 0x19431a36, 0x7da14664, 0x2692b71f, 0xb02917e6,
+    0x49cf6434, 0xbc14587a, 0xff71f9ba, 0x1d60a298, 0x5bc4c1f3, 0xd8766b41, 0xd7921c57, 0xc79f143a,
+    0x8efd3bb5, 0x190fe130, 0x56d6d5d4, 0xf49c462b, 0x84090c22, 0xfce02627, 0x9f7b96d2, 0xbfde825b,
+    0x17111a96, 0x038ecea3, 0x64309c4c, 0x5e25804a, 0x247eafe7, 0x27a65554, 0xd3b99411, 0x3f72b456,
+    0xbb49c2fa, 0xf6a93163, 0x9ca31449, 0x8b84c92c, 0x8c00e8c8, 0x1fdedd48, 0xbb1ea700, 0xfaafd1d5,
+    0xc49b2b6c, 0xf791859c, 0xb7f2dfe1, 0x1fc1381f, 0xfd392623, 0xd8bb84c3, 0x891ac986, 0x7034c4e5,
+    0xc49edb50, 0xe9bacfff, 0xe94e3ee9, 0x9ad01c2e, 0x2ac77fd8, 0xd6e1375b, 0x6777ee07, 0x0b8ca5d5,
+    0xdd1dcb6b, 0x5c68d602, 0xccd6f585, 0xce4f9fe1, 0x2ccb2399, 0x9f494f7f, 0x8b064bce, 0xe1f4a497,
+    0x5d5f0db4, 0x534795a4, 0x30de9bd3, 0x0c38ad25, 0x6a34094d, 0x9a5b1b3b, 0x5944196d, 0xe798afd6,
+    0x09d46441, 0x5eeee2a5, 0x415fc31d, 0xe047f20e, 0x6ba25ae5, 0xa9bd32b0, 0x2081ad24, 0xe8e4c18e,
+    0xecbacb41, 0x844ae17c, 0xcb6d0d26, 0x7a11739b, 0x71c69faa, 0xae60edbd, 0x2e7f6876, 0x78128f20,
+    0x5469524d, 0xfd309dc8, 0x54991f31, 0x30e476f4, 0x55b06f84, 0x0753395a, 0x0215d2b5, 0x7091bb1e,
+    0x8d823512, 0x72a04936, 0xb8d3ae10, 0x121b53b3, 0x0265bbfb, 0xce9ef466, 0x711f4a94, 0x72d496bc,
+    0xcfffbd25, 0xdcc3e5d3, 0xfc45dfa0, 0xfe07a169, 0xf76d142a, 0x0f43f5bc, 0xdebc1f34, 0xd0ad9ad5,
+    0xd0fee862, 0xd7d9008a, 0x7c6fca3d, 0x5dfd7990, 0xddae6dcb, 0xcf097838, 0x88a0cee3, 0x99ed4c3f,
+    0x192e52f7, 0xc3f1d69c, 0x255ff7fa, 0x18279976, 0x0d162fc8, 0x2383d84b, 0x0c8e4d19, 0x6632a0ae,
+    0xd4c37795, 0x00e801fe, 0x25cbc7d6, 0xf92d0989, 0xee498fa7, 0xcd51c051, 0x2b072433, 0x32dc0fd7,
+    0x6feaecf0, 0x073cddbc, 0x7e7251f4, 0xadf95db3, 0x6fe2d50d, 0x5ed32e85, 0x2aa765b0, 0x0870e190,
+    0x1db54b4b, 0x8a8baaf3, 0x397dd1ad, 0x8cc89d77, 0xcbd22b05, 0x60525a27, 0x26d8556f, 0xd53c2dda,
+    0xf83b8912, 0x8ae6a303, 0xc94b9129, 0x9ee500fa, 0xdf2d47cf, 0x9ca3bb17, 0x85d04461, 0x3e6b8a66,
+    0xba2a4a1d, 0xa1892b7a, 0x9f33037e, 0xf700b06f, 0x53f59c98, 0x23dd41e5, 0x6f4300d0, 0x9c3d6dff,
+    0x35820c11, 0xa1b40a56, 0x4f7124a3, 0x1f053d33, 0xfc8695e1, 0xb70d905f, 0x59a6164a, 0x73d0a331,
+    0x47e67421, 0x05918a98, 0x34898dce, 0x5da141d9, 0x1c25f209, 0xe8d065ee, 0x7501eb17, 0xc0e0a22a,
+    0x41903411, 0xa0dfe95d, 0x19b3cb7e, 0x666d3fce, 0x9af5785b, 0xb0acd7d9, 0x979e6e0f, 0x492d1411,
+    0xfc5c9ec9, 0x6383ed8b, 0x23b73cdb, 0xb9f1a397, 0xfffc5db8, 0xeaee698e, 0xdeb2a26f, 0x017eb2dc,
+    0x328ac755, 0x7e40ef95, 0x2fcb61af, 0x7fa0d088, 0xa9b45ff8, 0x47d7aa1a, 0x283adae8, 0xd88f2d8c,
+    0x90f4490a, 0xf7d52810, 0x09a1f8ee, 0xf58d028b, 0xa994f7aa, 0x2832e3b2, 0x8480470a, 0xaecb0a47,
+    0xa02ea342, 0x56e473cb, 0x8a26f9b6, 0x2886da08, 0xd44de3aa, 0xb7bef653, 0x35e6bf8f, 0x10a9f165,
+    0x2f24aea0, 0x1d84ed2f, 0xa29de4c1, 0xfa26ea72, 0x4c7c0bf7, 0xfcb87e51, 0x32408d7f, 0x71e4eb08,
+    0x1c648637, 0x3b4aadf3, 0xa15fe95b, 0xb301d888, 0xcbcadc35, 0xd502f122, 0x4db68c38, 0xd211d583,
+    0x72f81721, 0x9a77b82e, 0x69ef0afe, 0x3de40a51, 0x1369d8a0, 0x0907b5bf, 0xa123079f, 0x382b9323,
+    0x14644501, 0x3f6d09d6, 0x07e96f1f, 0xe601a983, 0x09f70545, 0xfb68b0c5, 0xc0ae7e92, 0x557b8bf8,
+    0x6fb2f5bd, 0x06ce6d9e, 0x1e4d5a0d, 0x9ed358fd, 0x738e0464, 0x378ecce6, 0x815af959, 0x78f2b701,
+    0xb09dde87, 0xfb0b044d, 0x242f81f4, 0x263772ba, 0x64b6e86d, 0xa4237d62, 0xf8f3a327, 0x06fb33f8,
+    0x967229f6, 0xddf590c7, 0x2ea76815, 0x1c7f1ea9, 0xea4bc257, 0xfa9ec894, 0xd6d47382, 0xa90dbc16,
+    0x52e1dc54, 0x99b10bde, 0x745fa02f, 0x4ede1dd3, 0x50049641, 0x7c8ff62d, 0xb1baa1c4, 0xfa746fea,
+    0xf9492315, 0x6cfd94b2, 0x4316ba66, 0xffb17430, 0x2d770238, 0x075cc8bd, 0xe45e928b, 0x5cfa9175,
+    0x814ddc98, 0x7b7f4999, 0x5a85b2e8, 0x916ede73, 0xca17c5cb, 0x995381e1, 0xe868ba68, 0x103e9871,
+    0x6576099f, 0xae76333f, 0xc817406f, 0xe85bbe1f, 0x3e3266c4, 0x433bcb74, 0x22e5e5f0, 0x404fd2f9,
+    0x2ff43a35, 0x33de6b86, 0xa3ff653b, 0xb8d1a412, 0x6b60b4fe, 0x89eced48, 0xcdcf999b, 0x2f7e6e41,
+    0xb0533bd7, 0xac0883ef, 0xd65be22b, 0xbb5e0c3a, 0xfef14f3b, 0x6426fdde, 0x0f4dbbb2, 0x2f8e4b04,
+    0x52259602, 0xd14b1604, 0x38ee1937, 0xb6b05e2c, 0x3d34cbba, 0x52605ce4, 0xd2a613a4, 0xe40d0b59,
+    0x5e5ad26b, 0xb5d8a5bf, 0xb56eec78, 0x883c8573, 0x956f4f1f, 0x869b5e01, 0xe2b2c623, 0x9c2fe484,
+    0xa9080a83, 0xd7390887, 0x4a68ca37, 0x762c6565, 0xc1edb102, 0x85992d1a, 0x2f07bc31, 0xde333ed2,
+    0xc575645d, 0xf8cab194, 0xdb7e3218, 0xa780e643, 0x5439cc4b, 0xd8e88743, 0xe0e68686, 0x167c0bee,
+    0x97861930, 0xaf2946e9, 0x75323a7c, 0x6128e5af, 0x2f0b5316, 0xdab275d8, 0xee14e182, 0x1115cec4,
+    0x9bb3c4eb, 0xad4dc93d, 0xe5923e07, 0xd9ccdb24, 0xbd59e66c, 0xc0d8d9b7, 0x760bfa82, 0xefc0cd39,
+    0x42a3e614, 0xdaa7222e, 0x7e826742, 0x16dd4f97, 0x79d6248b, 0x9f0ce4ce, 0x2aedd281, 0xc4891c47,
+    0xc065bda5, 0xcdb5be7f, 0xf9aa89f4, 0x5857ebd5, 0x510388d3, 0x1d90efdc, 0xdb4588bc, 0x87fc6aea,
+    0x9f496914, 0x6bf142c1, 0x4bb02aeb, 0x5281b94f, 0xe4668f91, 0xf339fe85, 0x34dc166f, 0x524d7ee1,
+    0x07d81194, 0x5f3130bc, 0xe61e6d02, 0x0c98c9d1, 0xe56c1912, 0xbb491f80, 0x079744bf, 0x50214d7d,
+    0x03e75325, 0x7f07764f, 0x8cbc5940, 0xf249996e, 0x174ef1c8, 0xe5b30d77, 0xf93ce508, 0x4de7b9dc,
+    0x08d0847c, 0x883d79aa, 0x28f53a29, 0x31f54c87, 0x9e9cb3e1, 0x68396918, 0xd01844ae, 0x86599ed9,
+    0x9767e385, 0x6e588942, 0xccfc63e7, 0xf05e924f, 0xbce6eff0, 0x3e1f7a3b, 0x25019979, 0x2b903708,
+    0x0bf7000a, 0x471897d8, 0x7c1bd49b, 0x7144511d, 0xcc628c19, 0xfb75b840, 0xe136241c, 0xa2e616a8,
+    0x64432098, 0xac66f8da, 0xbbb92c7a, 0x7d09928e, 0x614e7a78, 0xa721b41b, 0x4dd19a87, 0x81f21350,
+    0x651fde94, 0x22b89ac7, 0x6f3d807a, 0x2bad2176, 0x84cef701, 0x140ddc93, 0x07db191c, 0xde555e43,
+    0x0d7105b6, 0x3bfab963, 0x7da104dc, 0xec672aec, 0x321d373f, 0x4e20fb69, 0xefd9e2ab, 0xc80de673,
+    0x8972e806, 0x9a6222ea, 0x282ee8bf, 0x6a6dd31b, 0x27a11604, 0x15a21b76, 0xa67ec5bf, 0xfbc289e1,
+    0x9db9339f, 0x9c79d30e, 0x3d4d1502, 0x51ec8b18, 0x3ab65251, 0x870afac0, 0x5d165908, 0xb0ad2666,
+    0x699d1762, 0xf651e489, 0x64d32f5e, 0x424914f0, 0xd51bb29e, 0x4b76c21a, 0x6383d94c, 0x53fe0529,
+    0xe2bf28c6, 0x97066304, 0x200122cd, 0x76e23c52, 0x8e3c71a9, 0x00b9b22e, 0x9ce72eac, 0x8a82e50d,
+    0x91850781, 0xd53de370, 0x2ec5a165, 0xf25d7372, 0xfa20bf3f, 0xc299dc27, 0x1dad7836, 0x5fe6ce7d,
+    0x4c10b06c, 0x5e2a56c6, 0x5a80f29f, 0x29ad5d3b, 0xbf0b64de, 0x6bbdb5db, 0x9320b360, 0xf00dc522,
+    0x03bf2028, 0x2311f996, 0x3613e3b3, 0x00107058, 0x6b7d2372, 0xf5829ec0, 0x7c021856, 0xbc155318,
+    0xe0d86f45, 0x65e303d1, 0x13c38703, 0xc7cbd142, 0x1bb6a017, 0xfc4cfbef, 0x42056395, 0xc4dea6b0,
+    0x5def6c57, 0x0be92b76, 0x5c5c4e2c, 0x1235e500, 0xea9b2964, 0x1b5a598b, 0x56f36451, 0x7b22a110,
+    0x6e9db0c7, 0x4fbebe42, 0x7b667f59, 0xbdebe63b, 0x225d0846, 0x1ca0ee2d, 0x718776d7, 0x089f5d56,
+    0xd5ce7540, 0x0f0dea9a, 0xd4aa3e96, 0x37a7ec70, 0x7efeb363, 0x2fb5f25e, 0xe6334003, 0xe1b2cd65,
+    0xf64889d8, 0x4262e649, 0x1a0ecc3c, 0x19a5bba8, 0xcd1ae691, 0x07a34382, 0x958b6bb4, 0x54e2b917,
+    0xd73026c1, 0xc1a405e2, 0x59931471, 0xd62a5106, 0x21859c0d, 0x6499bc80, 0x4519a15e, 0x13e672ca,
+    0xd9cb49d5, 0x9b2b8dc2, 0xe46b6ca6, 0xa38548c0, 0x3f17c886, 0xc69c9af0, 0x7713e2af, 0x629488b3,
+    0x5333f0a5, 0xa3b66622, 0xfccd95ab, 0x12f50b56, 0x8c399798, 0xe19c5d56, 0x0bbafb46, 0xf4f8d965,
+    0x31713cb6, 0x375dfa51, 0xaff0bd3b, 0x646bf1b5, 0xb58af872, 0xc55ba68f, 0x324213c6, 0x49a50fb8,
+    0x055e2126, 0xce44800e, 0x53d61c60, 0x88045f46, 0x415e9858, 0x7bc00d67, 0x7e9e09dc, 0x68947e32,
+    0x83585475, 0xea914acc, 0x1abac5a0, 0x19169e97, 0x6ea781ce, 0x5e152b8c, 0x8744b55f, 0x26f0ed86,
+    0x173f1c22, 0xbbcec093, 0xb67034cd, 0x01fbe9e2, 0x90c2f52b, 0x7728028f, 0x1ebdd296, 0x0af7e245,
+    0x9b3c5729, 0x85614637, 0x811af0f1, 0xff6d3a69, 0xd430671f, 0xd49fa5aa, 0x93aa36d8, 0x57752f81,
+    0x711f6d2f, 0x858411d8, 0xfada5df6, 0x469fc173, 0xaafc7c2e, 0x3b90e285, 0x9945740b, 0x2dc5e694,
+    0xc247c389, 0xa8971e5d, 0x3ff47c7e, 0x1e004ae5, 0xe26f90bb, 0x8bcd6674, 0x241e393c, 0xa6b98fdf,
+    0xf0ed6075, 0x17a05b26, 0x17e6c925, 0x7841acf5, 0xf9e4cb07, 0x3929f163, 0x469cf191, 0xde29553d,
+    0x2031a456, 0x2324c5b3, 0x61412bd1, 0x88ba734d, 0xd41fb21e, 0xee53f9ad, 0xd7a0cc5a, 0x863ac0c1,
+    0x34c256f1, 0xf14d2cc9, 0x82431cc1, 0x301505fd, 0xe444c904, 0x911983fb, 0x6e5b91b0, 0x0669bfe6,
+    0xe187dda8, 0x08d2d443, 0x247afe15, 0xd316ab49, 0xe7328c12, 0x8f12d4ce, 0xc912fe13, 0x605391f3,
+    0x2c8edb87, 0x7c9fdeb2, 0x4019e330, 0xe13f4441, 0x95968eac, 0x43b7514a, 0x727250ba, 0x36070d42,
+    0x11ac10ec, 0x4a048083, 0xbe172e73, 0x89871fda, 0x32157829, 0x0691a6bb, 0xe325a599, 0x6a461c82,
+    0xc7bba43c, 0x475a4305, 0x10a61bf8, 0xf37510bc, 0xe82f7acb, 0x7c4710fd, 0xc0e80cdc, 0x0774b7b8,
+    0xc2db995b, 0xedce3d4a, 0xf271a08c, 0x36314bdc, 0x96210532, 0xca7fbed4, 0x845fcb97, 0x797477d8,
+    0x157d1aa7, 0x2cb73d5b, 0xd4c0e697, 0x9d2148c3, 0x18e98618, 0xed0bbe60, 0x18c7fec7, 0xedb0bb5f,
+    0x645befba, 0xa6a1211e, 0xffe2c19c, 0x53a34442, 0x7d910e5a, 0x49eeb386, 0x489f1adc, 0xb0d76d15,
+    0xaf0bf57c, 0x2e8157cc, 0xff2118c0, 0x1c243d36, 0xfb1ec14a, 0x44251714, 0x743e2690, 0xda383054,
+    0x88490d09, 0x24cb8493, 0xa72eab8b, 0x45969de1, 0x072202b5, 0xb6a7a246, 0x19fae3b3, 0x7346eaa0,
+    0x60d25771, 0xce8e26d8, 0x74331648, 0x29fc3c3b, 0xaf01936c, 0x09f2e6a8, 0x9491dbbd, 0xe94cd1fc,
+    0x7e3a875f, 0x88bc1324, 0x9af71f0d, 0x5695f3ee, 0xd1897d47, 0xa98a49b6, 0x07e7532e, 0x2c3e9c5f,
+    0xcef715d5, 0x8083eabb, 0x6b27b34b, 0xb137c0cc, 0xc9e9815d, 0xd1c6e2e5, 0x6c402534, 0x94202ed7,
+    0xfb7fc520, 0x72fdf651, 0x1ef57310, 0xcd41e1c5, 0xd6e5e622, 0x417af619, 0x2c31d499, 0xb6c5179a,
+    0x40bf62ba, 0x9e9e3408, 0x1e2b65fc, 0xd11be3d7, 0xba19e710, 0xfcddd899, 0xbf4de486, 0xee5ef2fe,
+    0xd9b78b8b, 0xed1182bb, 0x0d683978, 0x88b7295b, 0x45fbf454, 0x51558a96, 0x301d581d, 0x32e3fdcf,
+    0x465f3f35, 0x542a6937, 0xd970fb36, 0x06b54df1, 0x322bce46, 0xa719cabc, 0x1fd22055, 0x4b3df43c,
+    0x1e41e1d4, 0x10f5d5c9, 0xff849794, 0x015415fe, 0x1ceca42d, 0x3dcf91f5, 0x04b7be72, 0xc6a20d7a,
+    0x54498143, 0xe7ff64d7, 0x7c006140, 0x570a1932, 0x4d665c55, 0x0500d083, 0x78ca8b67, 0x584ecc66,
+    0x56faf53b, 0x65b2cdb1, 0xe499ca14, 0x9a6f3229, 0x4368fcd5, 0xaff1b106, 0xaa26b961, 0xa57d3725,
+    0xc65a54c3, 0xc8c5f5cc, 0xf234213a, 0x08bc66b4, 0xf0b89e16, 0x43ed08a3, 0xfa918e55, 0x3ab6291e,
+    0x5fd32287, 0x4a4164af, 0x41f4920e, 0x54eb1681, 0x6306a17e, 0xebe54b7e, 0xe2b86430, 0x7ef2dbdb,
+    0xf3fb1315, 0x355db6fc, 0xaef57abd, 0xa0e1ede4, 0xb3bbd868, 0xdf518b23, 0x7dd52749, 0xbbfd777a,
+    0x2fb0ec05, 0x7634a519, 0xd92b9854, 0x022e72ee, 0x8b615d73, 0x5d702c1f, 0xe85b58a9, 0x96bf70d9,
+    0xec079e56, 0x1ba1706c, 0xb08237a5, 0x4b2e9e09, 0x879fd7a4, 0xe04d6bce, 0x78ccd519, 0x1c519083,
+    0x6696fb6d, 0x0675d9c6, 0x8dd5a701, 0xe1cdda8b, 0xe3209791, 0x865c77c9, 0x4ac2b563, 0x9ec1b5fe,
+    0x3f3c526c, 0xedf3c4e1, 0x07c33e71, 0xcd01bc42, 0xbca37e1a, 0x804b2309, 0x31c2db74, 0xcd075c44,
+    0x12fcbd6c, 0xdb261020, 0x44306b1c, 0xf38df631, 0x04c66d64, 0x74f820ec, 0x6b119653, 0x07046001,
+    0x3e4bdb7b, 0x8f8363a8, 0xee30cd5a, 0x0c66b223, 0x0015093c, 0xbe20b09a, 0x6b6d6978, 0x5a04aba9,
+    0x45441173, 0x740c5bc9, 0xd16c5013, 0xafdcfa7f, 0x206eaf3e, 0x162b1702, 0x302e99c4, 0xc337158b,
+    0xe9a942b0, 0x0c80ffcb, 0xa04631df, 0x5e6d9062, 0x821c43a2, 0x650ae670, 0x5e7216f8, 0x488f144b,
+    0xec9ef897, 0xca0a68eb, 0xf8dddcc1, 0xd6ff1ce9, 0x12f3a8f9, 0x6dfed264, 0xf2fe055a, 0x5a7b8800,
+    0x360cfa09, 0x866617ba, 0x2e3882b3, 0x25701759, 0x41943350, 0xce0f0786, 0x9bd46983, 0xe517e60f,
+    0xc2753e97, 0xafea541a, 0x675aae35, 0x23ea8257, 0xd583e546, 0x35098a5d, 0x1b893b97, 0x12df36cc,
+    0x4dcc2b81, 0x12add0b4, 0xcdadbdc0, 0x91f46b51, 0x02ab975b, 0xd62183ab, 0x499553f5, 0x38b04fd7,
+    0x3a38b60a, 0xad8457c4, 0x1aa42ccc, 0x51a985da, 0xb856f078, 0x067a7f32, 0xee89b24d, 0xaa467754,
+    0x66951f8f, 0x11ba94e8, 0xc439b13a, 0x9e7a45b6, 0xec5cabaf, 0x157137cf, 0x34ae52a8, 0xb6e8f1e5,
+    0xb2f37eca, 0xabdb9007, 0x96a9d738, 0x6045b1e4, 0xb041fd6e, 0xf2099885, 0x4c12aba4, 0xd567ba0f,
+    0x95f00e8c, 0xf182021d, 0x8fd97694, 0x4d5ce85f, 0x068fd776, 0xdd16079b, 0xb2756dec, 0xa6e7ebfd,
+    0x0dd3547e, 0x269507be, 0xb921185b, 0x9fc8e538, 0xa5f81aab, 0x3471a7e3, 0x8d0ad173, 0xc1b4626c,
+    0x4dd69121, 0x1591386e, 0x408077f9, 0xc094b353, 0x4f7497e6, 0xd9b5dde5, 0x7da9855a, 0xf2cd6825,
+    0x1e09ede3, 0xec3ab5fa, 0x4d644ab4, 0x5852d330, 0xcb8f8f13, 0x0f136e83, 0xe532527b, 0x0f7a9cdf,
+    0x00000000 }, /* 10**00000000000000000000000000433229639706377321809127216272356828661943293027471\
+                         33987038743447103457934462900359999600095377180907771737671271930809827721216 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f,
+    0x675a9d23, 0x6d590105, 0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747c, 0x497d56c7, 0x5a17ac28, 0x6bdc9009,
+    0x00000000,
+    0xde205cc8, 0x30957d50, 0xb0e82b49, 0xec9e7d43, 0xb37548f1, 0x67c7ef50, 0xb64f0727, 0x79f9db75,
+    0xa3f5cb96, 0xe56e6c8f, 0xff945934, 0xc31b01ac, 0x390c660c, 0xc1656675, 0x45bcfcd0, 0x7085688f,
+    0x3d5ab599, 0x8fdfb2c7, 0xa56b29d0, 0x38eccbf1, 0x2bd25703, 0x4a217634, 0xb89197e4, 0x95327ba3,
+    0x55a6dfe1, 0x960006ea, 0x97a5449e, 0xa72c6e51, 0xc31ec3f5, 0x3132f7a4, 0x88fb476d, 0xd9025806,
+    0x8de5218e, 0xbd32673c, 0xe9aab146, 0x7e7b843b, 0x960e18ea, 0xb2c6d895, 0xbe893cf4, 0xe414c514,
+    0x594c714b, 0x783db5fc, 0xdee4549d, 0xba7d79fb, 0x6fb275bb, 0xaeae1956, 0xf4a078e9, 0xd840a7ba,
+    0xe8a316a2, 0xa66deb71, 0xa3041caf, 0xbfc7b2a1, 0xa2c43232, 0x9a663849, 0xeaa38f8a, 0xf66a8b81,
+    0x823525ce, 0xfa74bda2, 0xb1533d08, 0xee2d1de3, 0xb55672c8, 0xb5fdcbd4, 0x1c3dadc2, 0xebb71bc5,
+    0x68fa872f, 0xd603f968, 0x8b3d36be, 0xd771c8ea, 0xec62b400, 0xe949742e, 0x0aaafd18, 0xcefe9ff0,
+    0x6ba3a23e, 0xe0089e77, 0xbb4708b2, 0x3e38d43f, 0xe1f248b3, 0xb1b3737a, 0x4144a2e9, 0xec3766f7,
+    0x16d2e0e2, 0xc89e6aab, 0x27bf1ddd, 0x0c28628b, 0x28fd1523, 0xe26ff72e, 0xae218d81, 0x765374fb,
+    0x6b9b4251, 0xae46fd2c, 0xdc46881d, 0x4e236c0c, 0xf931eb82, 0xaff7e76d, 0xe8addacf, 0x4a1cea4d,
+    0x9967e7b6, 0x26805b22, 0xff85d652, 0x776b370e, 0x96943186, 0x94591767, 0x46ff367f, 0x407f9614,
+    0xa7d203ee, 0x603af849, 0x06dd9894, 0x4eb67691, 0x511384fd, 0xadaa8a0f, 0x18b1dbbf, 0x2eeaa12c,
+    0xe770505e, 0x834d3fc2, 0xd6fe22e7, 0x3e14bc39, 0x34b057bf, 0x01f094a7, 0xfddbd902, 0x265d6214,
+    0x24b83e10, 0x419e27d3, 0x00eac51d, 0x175b79a1, 0x6ff74a52, 0x560f5651, 0x7171ffeb, 0x1818246b,
+    0xc425fc4e, 0xa1222730, 0x790ae018, 0xad16eb31, 0x93f25f1f, 0x1ac70a76, 0xdc9ab891, 0x5f5fe882,
+    0x437e607f, 0x3f24522b, 0x1d060312, 0x81dbb2fd, 0x1ee53961, 0xfcf926e0, 0xc89b1195, 0x5c2054f1,
+    0x5dd7a2e8, 0x3eab7f7c, 0x3cbabf4e, 0x8a1e5aec, 0xb2b2ff4a, 0xb06407da, 0x7c3d60b2, 0x89ec3969,
+    0x11f793e5, 0x3e638bab, 0x88f580ce, 0x04bdbeed, 0x7bbc5fda, 0xd997d766, 0xc5e42463, 0x78268134,
+    0xadfe099c, 0xdf3a6e98, 0xebfdb224, 0x6343f7d3, 0x18055ad7, 0x93a14b36, 0xde865ace, 0x124450b3,
+    0xdcf23148, 0xac0fb116, 0x019c882b, 0xe443385f, 0xe7922699, 0xa7e60b1f, 0xefa7825e, 0xc4805c58,
+    0xfe7a175f, 0x16ea39c1, 0xbcb1051c, 0x02e03616, 0x460358cb, 0xcba56cd3, 0x30b06506, 0x534ba98a,
+    0x22b80c85, 0x6a6f443e, 0x66ede9b8, 0x828e609d, 0x0c044f61, 0x4751d107, 0x579a35b0, 0x117cd1fe,
+    0x3da1f23e, 0xf1a103e0, 0x144c3df6, 0xf89cafd7, 0x0b515bb8, 0x4f107c0e, 0x5749c933, 0x6b8c7bd2,
+    0x8127036d, 0x50867bd6, 0xf62e1d67, 0x68845ce0, 0xfcd1a785, 0x8222b54c, 0x7af54f44, 0xba5cf6b7,
+    0x8e181b1e, 0xf38518f1, 0x5f14b9aa, 0x59d48f36, 0xcda0c896, 0xc4700359, 0x71e97d71, 0xe45e15cd,
+    0x5bc05181, 0x9135a05e, 0x452651af, 0x49b81178, 0x167b2967, 0x8e7db2d6, 0x35becf45, 0x0af6cc3c,
+    0x24ddb49e, 0xd74b7967, 0xee1038fe, 0x3978994e, 0xf6af5806, 0x2c19474a, 0x5780d484, 0xe290199c,
+    0x30864d68, 0x61b4a72e, 0xe99b2032, 0x93ea115b, 0x6e4d7dc6, 0xed88f4c2, 0xba9e42a9, 0xfdcf81d2,
+    0xf6ebfdb9, 0x8cd35767, 0xb4f09284, 0xb53b8d4a, 0x74ac09ff, 0xbcba2efd, 0x2ed6fa83, 0x7bf7e64d,
+    0x8425649f, 0x188ab873, 0x1e30c4a7, 0x95841639, 0x252acf00, 0xe81bdf24, 0xded918d5, 0xca0f74c0,
+    0x2f0ac10d, 0x9273c919, 0xc6231198, 0xd70c7bc0, 0x345b39db, 0x179ff08a, 0x57a40ac0, 0x258e60ed,
+    0xf60c9d6a, 0x1b81324f, 0x85e1c07c, 0x763e65f6, 0xfc9a2310, 0x2f414da5, 0x6ec55169, 0x1a994973,
+    0x644bcb26, 0x776ce117, 0xa0dbd70f, 0xd9dfe2eb, 0xb360042b, 0xfe359185, 0xb56ade1b, 0x506090b2,
+    0x10e08a90, 0x673be005, 0x9a5c2660, 0x0e98306e, 0xede42385, 0x551032ea, 0xbf8060f9, 0x62c2e03f,
+    0xb94d72ab, 0xd6c1b745, 0x8b0fcc47, 0xa817aa13, 0xc4b7faa6, 0x1d883d3b, 0x6a57077c, 0xcb135e4f,
+    0x02fe5edd, 0xc86f9474, 0x0242b6a4, 0x965c6c93, 0x3ca80cdd, 0x4550ec17, 0x68c6ba9e, 0xed9abdd8,
+    0x6faa5c81, 0x51463b14, 0x4685f712, 0xa74df8d4, 0x677d68c3, 0x3a29ee19, 0xfaab7b3a, 0x1b874a65,
+    0x32fa689a, 0x486ff5ee, 0x311e31ad, 0x0acb1166, 0x582ce16e, 0x718eb91a, 0xc63d64fb, 0xa39ae492,
+    0xda13ea12, 0x69a0da06, 0x4689934b, 0x6576262a, 0x433c7b07, 0x0160ea56, 0x890bc122, 0x2d83b22e,
+    0xb9d10363, 0xd0a47304, 0xa240b57a, 0xac8fadbc, 0x8448f727, 0x8f13adc9, 0x4bdf3856, 0xeb0f4f86,
+    0xb0b4fdf1, 0x9d651874, 0x50d6e107, 0x1a357fed, 0x7afc491f, 0xbd00d2ac, 0xc0c47101, 0x3255e0c2,
+    0xb571e980, 0xe44b60ea, 0x7f6a4df1, 0x7985a41b, 0xdc60381f, 0x6ce88aa0, 0x6cd36601, 0x7b0af813,
+    0x2070d21f, 0x328976e1, 0xe7d2d241, 0x3bd2b007, 0xba3b3546, 0xa48036dd, 0x913c350b, 0x472102f7,
+    0xbf865ec7, 0x6ecbdfa7, 0x31912e06, 0x24b2557f, 0x4d5ed667, 0xea329ad8, 0x9acb7f2b, 0x4e99fdce,
+    0xb87fb104, 0xdcc6a7e8, 0x570282bd, 0xd93e4c6d, 0x5afa9570, 0x5585bce5, 0xa977b5f9, 0x0d4f1a4f,
+    0x89e5f522, 0x8fe9f248, 0x88fddd9c, 0x52ad82b0, 0x9de09222, 0x3a4f95a9, 0xb6841cf1, 0xb7c60cc4,
+    0xd0ac2797, 0x21036097, 0x28a91eeb, 0x9a1d35c0, 0x088b01b9, 0x446aab09, 0xf3135d2b, 0x0a05a94c,
+    0x7e828e53, 0xd436f795, 0x11214924, 0x80e0adee, 0x191a9d21, 0x02b4b954, 0x292ddf4a, 0xbc185dbb,
+    0x2fdd9c49, 0xef7f22c7, 0x40bdc9fb, 0x84645fca, 0x4da20502, 0xae7df294, 0xba1675f6, 0xd39eed71,
+    0xe1b2adf5, 0x4a7b5029, 0xe4a94501, 0x93775531, 0x1ea0c9fc, 0x2bd916f3, 0x007b5926, 0xbc64f89f,
+    0x77a4ee24, 0x27251489, 0xbb2fce27, 0xa1664605, 0xe857c07b, 0xb22d129c, 0x41589be2, 0x973db52a,
+    0x31b1b3dc, 0x7b2a4e85, 0x2a816c9e, 0x79f8b1b6, 0x49ea63b6, 0x42c6d5fb, 0xea514fa9, 0x2a5a6922,
+    0xb05c8f8a, 0x520f4bc9, 0x33f320d4, 0x052d63e7, 0x9ac33696, 0x0564ae35, 0x1e292b14, 0xe13271c4,
+    0x88f7bdc3, 0x80aceeba, 0x20c7302a, 0xfe538186, 0xf80dcaaf, 0xca131813, 0xa5a14d35, 0x00478355,
+    0xc507f899, 0xd3a2fb09, 0x23ce68c2, 0x177d8c1e, 0xe6fd6888, 0x19d487ab, 0x384ea57a, 0xc4870a43,
+    0xbbe6ec62, 0x78caa4ff, 0x383ad0b1, 0x2a0dbfff, 0x92a74cac, 0x349c2321, 0x91c11042, 0x620426fa,
+    0x4c0f2b7d, 0xdc0b4b5e, 0x802202f5, 0x643a4d83, 0xf796cd1f, 0x523443dc, 0x1068f121, 0x16602b22,
+    0x62f112b8, 0x415b8679, 0x035b839a, 0x1fa9bcaa, 0x2f996f0f, 0x30dc4c3b, 0x1d016fe7, 0xfca2fad8,
+    0x48fefb77, 0x70ec5661, 0x4c66f77c, 0xe53b26ce, 0x3ad7dabe, 0x58c2502d, 0xbbe3994e, 0x5aad3299,
+    0xc379666e, 0xf27a873a, 0x4f429234, 0x247c3681, 0x09b2680e, 0xa19b5f0e, 0xdcf42ae7, 0x57432889,
+    0x8322b528, 0x87409210, 0x9ee94e39, 0x72dae4f3, 0x755c0d07, 0x9dbcb53d, 0xf2f42e81, 0x15847a20,
+    0x62d318b5, 0xeab87a00, 0x507b604d, 0x88447a5b, 0xdf361273, 0x0c9c28a4, 0xdd4c0ae5, 0xc8caf6c9,
+    0x5ab02842, 0xbe4272f8, 0xf56da9e2, 0x29bc15de, 0x3387ff8c, 0x1630262c, 0x555c5f34, 0x745818a2,
+    0x958f6bcd, 0xdb7f693f, 0xc144f345, 0x75a2b186, 0xe9a72d4a, 0x029f7dc5, 0xbe358a24, 0xc2b90ed3,
+    0x90b50597, 0x094db2bd, 0x224f4d67, 0xdb18c3a6, 0x0a60d5a3, 0x74653226, 0x0f1965f8, 0x188ac9bb,
+    0x7ab76fe8, 0x1c2dad93, 0x548c6f5f, 0x0ed55820, 0x2400e2bb, 0xd14a8765, 0x394c3603, 0x85703e2e,
+    0x8d5c2fd6, 0xe0250a06, 0x02803b04, 0x1c6f02b2, 0x7dbe1439, 0xc1837ad0, 0x0f6eb32f, 0x5ece64b3,
+    0xc89f7966, 0xf456f5dc, 0xeb1f705c, 0xc26152cf, 0xec865342, 0x5ce57ed8, 0x33bad8a6, 0xd8372edc,
+    0x44b58cf5, 0xbfd78627, 0xfca105d1, 0x05ec463d, 0x9e423c6f, 0x9d9a1ad9, 0xf6966099, 0x92a9c46b,
+    0x7d6e46d0, 0xd96f6755, 0xb1982bdf, 0xa8234449, 0x60f3c9f2, 0xe9acca3e, 0xc10d5317, 0x2c9d0a9b,
+    0xefcfa6e6, 0x066a3946, 0x9a822bc4, 0x7d6b0dcb, 0xf1ca9385, 0x4a838377, 0x8322729d, 0xe5a7beb1,
+    0xd4c9737e, 0x66af2104, 0x5dac1075, 0x05edb88e, 0x2ae5b117, 0x666d88e2, 0xbf11a3fa, 0x5411c320,
+    0x0d3625ea, 0xef962254, 0xe98b48fc, 0x83738091, 0x591254dd, 0x320dd0ae, 0x048ac628, 0x76baf59b,
+    0x8e6452e2, 0x10faa9d3, 0x82241e4f, 0xb2cdeb74, 0x78363ccb, 0x0a0563ca, 0x00d9a32e, 0xffeff990,
+    0xaa5ac55a, 0x55afd3b7, 0x2d3962e3, 0x5e1791c6, 0xda4ef391, 0x4e44adc5, 0x2f170681, 0x39b472a0,
+    0x24aea287, 0x10416392, 0xf71f4be6, 0xe7670a5d, 0xe185ecd7, 0xb6199170, 0x1a4f2337, 0x40955107,
+    0x74318fa3, 0x929123c7, 0x9a298f7e, 0x88f05072, 0x0ff269f6, 0x91791457, 0xb4a0a15d, 0x919f98f6,
+    0xa0f42eeb, 0x701fd35b, 0x89690f6c, 0xa5be33b9, 0x457d1046, 0xb2a4ef25, 0xac55bc41, 0x29c4e858,
+    0x4d173df8, 0x3c42f981, 0x890261dd, 0xdf9649a5, 0x4fa58a31, 0x460588ae, 0xd5d99751, 0x9e03e828,
+    0xae3df6df, 0x2f424c05, 0x10d126fa, 0xff552683, 0x0a9df06c, 0xd44559ae, 0xcb141b78, 0x1b658d5f,
+    0x8792f779, 0x1a442ae0, 0x3260cdb7, 0x344787ff, 0xd26317dd, 0x5cf3f941, 0xb8bc354b, 0x4dd0a7b5,
+    0x7d43fc4f, 0xec580320, 0xde66b920, 0x8c96eaf2, 0xc11a5f1b, 0x6fd40290, 0x70970773, 0xaf3dd907,
+    0xb4748beb, 0x4a88e54b, 0xd5d6021d, 0xdf796ce4, 0x0ff8ddf2, 0xea2f5ce9, 0x113cd40f, 0x9480a98a,
+    0x78e64ef3, 0x5ee6e702, 0x51d99627, 0x9d3651af, 0xe0f1da10, 0x2bb4e1b0, 0xb331613a, 0xce2d54e1,
+    0xd1ea123d, 0x2f1c9ee0, 0xdccdfa01, 0x6bc4a200, 0x4406cf75, 0x5ea26011, 0x083f8efb, 0xacac1ac7,
+    0x7ac9902c, 0xbad89be2, 0x9e8d4d75, 0x9acd4b07, 0x98abbc89, 0x82bd2c5c, 0x065a3414, 0x5e41bbe4,
+    0x5a790340, 0xc646045b, 0x05640e3a, 0x2de11390, 0xb3ec2577, 0x169edfc4, 0x163a2fc9, 0x13f6a3bd,
+    0xfb946c93, 0xe81a0020, 0x2174af7b, 0x252c2c04, 0x4b4258ea, 0xa5f3c63b, 0x3b0588fc, 0xee019ac0,
+    0x419b1700, 0x27b2bbd7, 0xa5ebb433, 0xf05b3404, 0x27e1d662, 0xc0c76c62, 0x55b21e15, 0xb56865bb,
+    0x9997749f, 0xb3d6a88a, 0x1320c172, 0x43c68074, 0xd1e9b4c9, 0x91635cf7, 0x28cfeb95, 0xfe83dce1,
+    0x8d932049, 0xde20becd, 0x99769a00, 0x27ad39d3, 0xede2fb95, 0xc35ebc6a, 0xc01fb600, 0xcebf86f0,
+    0x3076924b, 0xf5ac9d7f, 0x0d601853, 0xf3b993d3, 0x42d0fca0, 0xd1ba7a70, 0x2357bb0e, 0x2bdda068,
+    0x4cd22d6c, 0x3e1a4c8a, 0x0133d4a0, 0xcc68f887, 0x3de31cdb, 0x397b5d23, 0x57adc8a6, 0x47a4a9ab,
+    0xb4b99ec6, 0x46a7d05e, 0x7b709f36, 0x7ecaeb04, 0xa580d061, 0x77a7db7a, 0xe7c791bf, 0xb55e1f29,
+    0xe6cc2562, 0x67cab891, 0x5df7479d, 0x88739660, 0x676c57a8, 0xbf073370, 0x3051ba92, 0x7529070a,
+    0x5dbc3e87, 0x1c2226b6, 0x539e0be7, 0xa68ac5fc, 0x6cb15bc2, 0xcbb8b91f, 0xb32d7a2d, 0x033b6436,
+    0x884b5aba, 0x1ac828c0, 0x18c1632a, 0x3a30bbb5, 0xb9e840a9, 0xf9f66217, 0x47f0c534, 0xec294555,
+    0x5d561ddd, 0xc383d4d5, 0x0134982c, 0xc1f29a04, 0x3bd91c74, 0x3a4f77ac, 0x4c741e8b, 0x56e36b22,
+    0xbbe63781, 0x54c64283, 0x2a258cb9, 0x459a42f8, 0x301b8775, 0x5f3fe264, 0x1b8ed971, 0xaf422542,
+    0xf446af3d, 0xfbe10789, 0xa0815bdc, 0x314f59a0, 0xc8e3b19d, 0x89e8be1f, 0xa83fd1b6, 0xdd918519,
+    0x659fb833, 0xc69845cb, 0x95630914, 0xbe7baacf, 0x6acec68b, 0xd62dd16c, 0xd6bb9d25, 0x6b41df1c,
+    0xe2f643bc, 0x17ddc7a4, 0xa13225f1, 0x9e7a38e4, 0xcd20f9bd, 0xb767345c, 0x47eace54, 0x79efd31d,
+    0x4760b5c1, 0x578be17b, 0xaf00a9f6, 0x9b340db6, 0x864931b1, 0x877bff6f, 0xea0ae43b, 0x10bf27a0,
+    0x066eff4b, 0xb62b9659, 0x9dc28be2, 0x004a221f, 0xbc5cb8e9, 0xc72f6eea, 0xb3f3dd78, 0x5832c722,
+    0x77bc8384, 0x0836c960, 0xa354d325, 0xe7dbca81, 0xfa809e1e, 0xaffa0b45, 0xbaa21f3f, 0x8208a080,
+    0xeb60f7f2, 0x2ab83e2a, 0xfb85ad00, 0xe557681e, 0xda7a0a48, 0x51026e3f, 0xc2bd07b5, 0x4bc1f0d8,
+    0x429f29cc, 0x36704597, 0x5f4cfbe1, 0x79d3bb30, 0x370f2551, 0x6857d29c, 0x98d7a97d, 0xee6eeb50,
+    0xa2ba18de, 0x36315806, 0x7838a243, 0x302876e9, 0x19f5f7af, 0xa7cb84b3, 0xaa8c29ee, 0x2a694823,
+    0x7fc093ba, 0x47bbbc9d, 0xdb00cca5, 0xf2f7168d, 0xaeade329, 0x6076e918, 0x0e7a4f42, 0x57ca0be2,
+    0xca4a4288, 0xfe493ce7, 0xd8b759e9, 0x8a336d98, 0xe6f7e3e7, 0x5bf1c589, 0x605e53a0, 0x55cc51e4,
+    0xf269a836, 0x606c74fe, 0x14e4d47c, 0xc58c74de, 0xff4b3685, 0xbbca2674, 0x09712cca, 0x4dbae96e,
+    0x8eabc12d, 0x80bd360c, 0x65889cd2, 0x84aa3ef5, 0x5ee591dd, 0x37804cb4, 0xf958dd7d, 0xbdb91c1f,
+    0x648a6537, 0xa0188655, 0x466725a7, 0xc06b0d63, 0x2a85e1f2, 0x38f920f1, 0xb2f9d935, 0x9f3c785f,
+    0x23f12fbf, 0xa6a7d934, 0x9e729162, 0xe50fc24e, 0xc7d9f4e1, 0x63175ac0, 0xd6621a1e, 0xbfdb0157,
+    0x1473563e, 0xe4981fac, 0x8420059d, 0xb7033798, 0x484bf4ce, 0x33ed558a, 0xb94c68f4, 0xecc2a071,
+    0x6afac663, 0x82852599, 0xc7df1386, 0xe465de9e, 0xaaaa4017, 0x5ab0c27c, 0xe5e0ce38, 0xd1c84e93,
+    0x67dbd6fd, 0xf3af5104, 0x83dac4e9, 0x46e62f8c, 0x4e4e90c9, 0x1dc86751, 0x87a38f59, 0xb32cc019,
+    0x298c8eb2, 0xb496a9c5, 0x4718e6ee, 0xc5d4709a, 0x8eed496f, 0x14711e0b, 0x81b7f47f, 0x8604830a,
+    0x44e36bfa, 0x45cea265, 0x95708c1b, 0x299ccc78, 0x18b83662, 0x3e5d70e5, 0x400baac7, 0x09f6f49b,
+    0x29c7facc, 0x5970233c, 0x10b27248, 0x710370e4, 0xbd8001cb, 0x364095dd, 0x5af8aa30, 0x905e4b7e,
+    0xd0ef06cd, 0xea8afa71, 0x76a3576c, 0x989dcea9, 0xefd2dbe7, 0x0be7be7a, 0x0c3aae8f, 0x1bf011e7,
+    0x861f624d, 0xb3da8716, 0x88eba341, 0x182a5c25, 0x2990606d, 0x907fd6e5, 0xb6eb8f37, 0xf9f040a7,
+    0x82133a0f, 0x43e44035, 0x942b9295, 0x733d041d, 0x638d3b24, 0x37931e2a, 0xf1a12e9f, 0x4d35bd43,
+    0x92dc479c, 0xadbeface, 0x211ceccc, 0xab8bd32c, 0xb3656d29, 0x94a5579c, 0x1eda7cfd, 0xce0e6a7a,
+    0x00000000 }, /* 10**00000000000000000000000000216614819853188660904563608136178414330971646513735\
+                         66993519371723551728967231450179999800047688590453885868835635965404913860608 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37,
+    0xb3ad4e91, 0xb6ac8082, 0xe7859d06, 0x650fde9d, 0xd51f3a3e, 0x24beab63, 0xad0bd614, 0x35ee4804,
+    0x00000000,
+    0xa89e52a6, 0x12c09945, 0xab840c29, 0xcba56db8, 0xbc1d9e6d, 0x85771d98, 0x93bb666a, 0x0a02a283,
+    0xd07c3805, 0xe9f4d6f4, 0x49895ef8, 0x3bd34044, 0x755009c1, 0x1ef4e9d4, 0x527819ca, 0x14fae9e7,
+    0xa09498ba, 0x4624083e, 0xb6ee354a, 0x1408390b, 0xe46aa076, 0x47a77870, 0x69415f26, 0xec0e5345,
+    0x430e3e17, 0xedc03199, 0xe269e90c, 0xb8364e48, 0x9328a108, 0x0d917425, 0x50afe1d4, 0xa7e3c051,
+    0x9ad5bfd3, 0xc8c467eb, 0xc968f1cb, 0x69686a4a, 0xe21216df, 0x25b9cec1, 0x75fb6514, 0x89687317,
+    0xc50f5cb0, 0x05e0f234, 0x0e4669c5, 0x575f8ceb, 0x3cf693e8, 0x1d19a06b, 0x4923417a, 0x9c33d3ac,
+    0x9a731f14, 0x20b8e8a5, 0xfc615431, 0xc9df05e3, 0x51abd64c, 0x9b680349, 0xa2f00d95, 0x5b249504,
+    0x6bd17944, 0x8bf62ba0, 0xed94d42e, 0x96bcffe9, 0x994af67a, 0x2aec0add, 0xf5c3831e, 0xb951a126,
+    0xbc05c370, 0xf4677993, 0x6f431b8d, 0xec00a851, 0x4b30dda7, 0xaf963cc8, 0x083cd11d, 0xc422ee41,
+    0xd1833d28, 0xcbf0f16a, 0x0234ad99, 0xaaf26683, 0xd5d95de6, 0x9f16f3fd, 0x092f61e9, 0xa3dd619e,
+    0x2f93cc09, 0xa1c5e44f, 0x309e9858, 0x6fa86976, 0x02dfd684, 0x5c015e13, 0xc81a03ca, 0x3164b5b6,
+    0x9da4059d, 0xaa2d51e5, 0xdb12e567, 0x8ce4dc6b, 0xb7e25731, 0x7031fe65, 0x70c0a9e2, 0xaa27e822,
+    0x3982f8c8, 0x54a08b2e, 0xc8fc6352, 0x1da09f0e, 0xa89103e8, 0x99a96282, 0xb8f5355f, 0xa2aa10e8,
+    0xc3008422, 0x95e40674, 0xde0904e3, 0x5773dd8d, 0x806c53cf, 0x95ec53ff, 0x159ef62f, 0xc4b421bf,
+    0x5c426e84, 0x2bacb608, 0xfafae20d, 0x6af55a03, 0xc5ead14d, 0x83210f65, 0x8bf7707c, 0x33df68d9,
+    0x27e2db70, 0xe9048d35, 0x1125fd4b, 0xb58e1ed7, 0xf31f70b8, 0xb7efeb97, 0x990e32a1, 0x1f168388,
+    0x2639e4ad, 0xedf6efc1, 0x2a5e776d, 0x720b66e0, 0x927b5da6, 0x62b7d93a, 0x42cabf37, 0x99dc5c0c,
+    0xb97f5136, 0xd959000a, 0x7e22205d, 0x262cc396, 0x6240148e, 0xd4e86a66, 0x8b86f939, 0xfdcf14dd,
+    0x4711d232, 0x6d8fdfc2, 0x51cc2f27, 0x83f2d7c7, 0x4e947be6, 0x07f58cb7, 0x5b116f91, 0x9ef29856,
+    0x8b2329ef, 0x65d4dd75, 0x4a93939a, 0xa12d9acd, 0x57927acf, 0xaa521022, 0x800ec9b5, 0x0f0e128b,
+    0x9c717664, 0x4316d6ea, 0x3d8f06f3, 0xb2183cb3, 0xdba559b0, 0xee51d2d7, 0x51d45b49, 0x824037c4,
+    0xb4cc2c4d, 0x3847b1ed, 0x58b1eff5, 0x59c537f4, 0xb9305342, 0x8e1392b2, 0xa3d37902, 0x953ac92a,
+    0x3efd90fa, 0xc9f03323, 0x4817a900, 0x588f5299, 0xfcb5d5ab, 0x57a37426, 0x32b530af, 0x0238f412,
+    0x37373078, 0x924df552, 0x309d471c, 0x87e51b95, 0x36a1ed0a, 0x41ff8918, 0xa536ad48, 0x22874504,
+    0x5cfcdfdd, 0x9f89c537, 0xbb496561, 0x96653b76, 0xc5c72c65, 0x6d512dc3, 0xd1231162, 0xd8cfd2bf,
+    0x7e7131de, 0x81fb7a63, 0x45c4a485, 0x8115c80f, 0x99a22057, 0x54e4d461, 0x597954e4, 0xd904bd1b,
+    0x9987234a, 0xfe7c0d4d, 0x5d3ffe48, 0x2a128093, 0x56cdfaea, 0xc311ec2a, 0x3c5ed9cb, 0x6105d451,
+    0x01319715, 0xde9270ea, 0x325cf74a, 0x918b1a43, 0x1dff537e, 0xfd834fb8, 0x2df40315, 0x5bf3cb69,
+    0x37a938de, 0x0eb71879, 0x77c236d0, 0x285c4af0, 0x66eddaae, 0xfb449697, 0x69261130, 0x2faa8f1c,
+    0xefb4bc90, 0xafb9a1e8, 0xffc72569, 0xe230cc0b, 0xe8f42c46, 0x26a6a637, 0x8e6c26a0, 0x3634fdcc,
+    0xbb254ec2, 0x8a612166, 0xe7cfbb78, 0x5afb8ba1, 0xe5b36541, 0x402ec853, 0x2be5bc26, 0xfba7e6e9,
+    0xb2876cae, 0xa4d30fb3, 0x33f03d61, 0xecc54988, 0x059e5042, 0xc9447723, 0xaa16379c, 0x54db35a8,
+    0x8eb058ed, 0x23c6966b, 0x1a9c2675, 0x0be55cac, 0x9577058d, 0x7890d0ce, 0xd9648272, 0x8a676a8d,
+    0xd7b459e7, 0xb3b86d83, 0x1f9669cc, 0x3d7dc351, 0x20a2bd90, 0x104e91a1, 0x428c6b0c, 0xa674f3b0,
+    0x2b8be52a, 0x2be8eb05, 0xe8a0c520, 0xc7211335, 0xedc1c5cf, 0xb3558e54, 0x9a348cc6, 0x8992c2ee,
+    0x898ce67e, 0x05048b64, 0xbe5a4482, 0x85a59e17, 0x08e5f5c8, 0xf923dff7, 0x184e869c, 0x4d5c2125,
+    0x8deeeaba, 0x5e9c6cdb, 0x9c563936, 0xf89d3c3c, 0x4c4be972, 0xedcaf650, 0x4b1b1f78, 0xef703acc,
+    0x344a3477, 0xd8ba8eb3, 0xa997c6e5, 0x8f9161fa, 0x29d49eb8, 0x2b495ba3, 0xd1298396, 0xbabe5a6c,
+    0xf2efd26b, 0xbf1452ae, 0x26a656b2, 0x187410a6, 0xd1c5bb4a, 0x1b628812, 0x75f34126, 0xf3adcaa4,
+    0x31fbed66, 0x288e2ba3, 0x07012925, 0x7779c6dc, 0xf738ca8a, 0x4842c1b8, 0x2e94468c, 0x41939f02,
+    0x8e1b8cdb, 0xdd45e14e, 0xb739e54d, 0xc3644871, 0x54cd7bf5, 0x571fc809, 0xb1ec5f2b, 0x102fe19f,
+    0x7867cbf0, 0x3bd87016, 0x00fb8f1d, 0x2cb48d95, 0xdefb95eb, 0x0b435f8a, 0x6a1d05c7, 0x08d5448e,
+    0x766100f1, 0xdbcc5092, 0x411fdb58, 0xf53d1a42, 0x6528f0cc, 0x6d4541e2, 0x6140b0e3, 0x9a437e59,
+    0xbbd8702f, 0x259fdd46, 0xa9bb25ba, 0x03839ad6, 0xe9201368, 0xf25255a3, 0xbe1ea5f0, 0x919203cb,
+    0x88b42e5b, 0x178cbd97, 0x9ed8875f, 0xf25ab379, 0x7b5bb033, 0xdbdc4986, 0x5c1c5255, 0x472c1ec7,
+    0xe412f5b7, 0x435cea88, 0x657f121e, 0x291a54b1, 0xaebd863c, 0xce4d08dc, 0x2672debd, 0xac5e4298,
+    0x282b08ca, 0xef56b2c7, 0x898ed964, 0xd8db9a07, 0x5d260ec8, 0xa0325db4, 0xc9b1ce26, 0xe426cd28,
+    0x111b68fc, 0x0a054ad6, 0xeccca69b, 0xe2eb8e89, 0xafb4beea, 0xbae06d64, 0x67e8fe3e, 0xbf0dc89c,
+    0x68c64905, 0xeeac0871, 0x96182bf4, 0x04508152, 0x6da9772c, 0x9c72a264, 0x8d49304a, 0x2deaa39b,
+    0x27607fd3, 0xf09a86c9, 0x9455c6eb, 0xec5af7c5, 0x65f70a9a, 0x0d1a5a7d, 0xd4441229, 0xcfd0840b,
+    0x23ccac27, 0xcdaac16c, 0x943a6eb8, 0x9e3dbfbb, 0xb1ae6678, 0xac353a4e, 0xf976c00d, 0x3c07557a,
+    0x26175604, 0x0a317b88, 0x7a8248de, 0xad50f45f, 0xd8cfa4d5, 0xaabc344d, 0xe80fdc90, 0x64f9e945,
+    0x1ec816d1, 0x7d8f88ac, 0xe2879097, 0x10700ba2, 0x395f0384, 0x02c46ee8, 0x6aa52b7c, 0x81ecd1d7,
+    0xd0184536, 0xab6865c5, 0xef9490da, 0x2119372d, 0xe688b696, 0x9172a8d0, 0xf21779f5, 0xb9126e4a,
+    0x5571f825, 0x20ef315d, 0x3cd63fda, 0x6815c7f2, 0x6a4aa001, 0xb8775f4b, 0xc5aaa546, 0x11b00d01,
+    0xd33c7526, 0x7dbe19fb, 0xb02d0eaa, 0x85cfd2a5, 0x50072091, 0xcf712f15, 0xd40fc437, 0x529f606e,
+    0x830e99c8, 0xc69a916d, 0xf6ac0446, 0x8dc78437, 0xd7e5b180, 0x7d7a0ca2, 0x196bc9d7, 0xa309e3b7,
+    0x78dea815, 0x2c8c56f8, 0x71ec7ce1, 0x7673dcc0, 0x0618d60e, 0x819e1efd, 0x631eb0db, 0x81886338,
+    0x35fd07bc, 0x6576268c, 0x8c16c2c7, 0xe3c5e3c6, 0xdaa5bc2e, 0x4b44504a, 0xd824fdb1, 0x4ed18607,
+    0x6bcb916c, 0x9282cf45, 0x9c26913f, 0xd8e56219, 0x1e87a147, 0xb595b682, 0x781b09f3, 0xec0c3a07,
+    0x3bdd7ba9, 0xa56e64f4, 0x82c88777, 0x7b77e7ed, 0x8d847ad5, 0xc2a63b2d, 0xef1f6770, 0x002638c1,
+    0xb70a5ae2, 0xaf70f821, 0x1654a2ef, 0xc379aa5c, 0x06497a1f, 0xb5a2f244, 0x644babb3, 0xeedf3d94,
+    0xba58b863, 0x8f5524a6, 0x8914197a, 0x1278720e, 0x35506af0, 0xf57d309d, 0xfef587f6, 0x19174d33,
+    0x82490a98, 0x9cc40f8b, 0x2039f058, 0x9a814179, 0xfc0a7372, 0x0962fe3b, 0x058cb743, 0x3d8707f9,
+    0xa39d8543, 0x7d32082c, 0x93a43d8d, 0x3b24d3ed, 0x1300bf36, 0x2fcb6570, 0x885b1297, 0xd72e2630,
+    0x52db78e1, 0x7750901c, 0x91f7dd45, 0x16c47fb2, 0x72727266, 0xd93bcd2c, 0xbed5d1ab, 0x01b58dc2,
+    0x2224037c, 0xc08a84fc, 0x030a060e, 0xaf7b817c, 0x9b6342a9, 0x2ee6664d, 0x42e82b7c, 0x3c1f847d,
+    0xfc6900af, 0xf8b82ea8, 0xf0974dcf, 0x731b5a7b, 0x51cf8227, 0x0ac808a8, 0x7fc20319, 0x4a5c75c8,
+    0x32f78fbc, 0x6319bc14, 0xa7dac3e0, 0x80c88a0c, 0x0fa9110c, 0xe4b10758, 0xe95e5863, 0x050272e6,
+    0x0d502fa0, 0xd5929bfe, 0x71d95bd7, 0xe8844e13, 0xf2560165, 0x803e0e9d, 0xea2c4d09, 0x7c6a53b6,
+    0xb25202a8, 0x1a562db4, 0x2ba209a0, 0xae91e2b0, 0x9b9ef406, 0xd19e9e81, 0xc276cca2, 0x700934b6,
+    0xeda1475a, 0x559e909b, 0x85fce4f1, 0xb5b1ab0a, 0x38e67abb, 0x2c62db3e, 0x0989d51f, 0x3c24d972,
+    0x9e8ff1bd, 0x9a55fbae, 0x7c990393, 0x2194ae19, 0x026a20ce, 0xd75558b8, 0x3ebf6d13, 0x6195974c,
+    0x47049556, 0x970bc3c8, 0x5feccc0e, 0x970046c6, 0xa8accf58, 0x6fae421b, 0x50bb03e3, 0x850a1658,
+    0x806729c1, 0xc04472f0, 0x6eff622b, 0x81515bdd, 0x3fc97c37, 0x92074dd6, 0x34a1b4df, 0x9ac27ba6,
+    0x36c3c303, 0xe9d1308c, 0xc0d5374c, 0x4205a033, 0xb7fe9f16, 0x14f3eb1d, 0x83f865e5, 0x26227546,
+    0x239a2adb, 0x5a8107f4, 0x60799b01, 0x28598227, 0x055bda21, 0x08e4e597, 0xa8c209fc, 0x731386f2,
+    0xb917eead, 0x8840a560, 0x18a55c0a, 0x22189e21, 0x5f952fdb, 0xbf624cbb, 0xf823e0f3, 0x893c65f6,
+    0xd3dd8b83, 0xf15c0851, 0x9f9fa427, 0x1482129c, 0x1b198fd8, 0x0893538f, 0x6f9b2007, 0x3703f979,
+    0xa726f63f, 0x95909e2f, 0x249e9a1c, 0x009854e3, 0xacf00f82, 0xfa878c77, 0xb04394d2, 0x19a92c9e,
+    0xfc8b639a, 0xabb71d58, 0x6d494280, 0x4ab1bdb9, 0x6bb29191, 0x637974b6, 0x92ad4a34, 0x9d244c12,
+    0x8e743f14, 0x4b8c72bb, 0x245bcbce, 0x8349f6bd, 0xa746ffc6, 0xf22b78e0, 0x0499d5d1, 0xf185c5cf,
+    0x7b5f4b83, 0xb901dbf1, 0x1501d60a, 0xaec9fda4, 0xd9437939, 0xf6866484, 0x6cbd3e3d, 0x62f967c1,
+    0x92249618, 0xc916949f, 0xb8eaa25a, 0xa7ded53e, 0x55ed03bd, 0x5213e22d, 0x0cd5773e, 0x755e4bc3,
+    0xd5b5d5be, 0x8353794d, 0x8716189f, 0x86f4918e, 0x471ebd3a, 0xbc69c272, 0x493d17f3, 0xd67de8a6,
+    0xf96fc85f, 0xdc39a3e4, 0xb9ed8526, 0xaa4aa820, 0x165ee7ad, 0x5408cfb8, 0xc59759a5, 0xbc29fb9a,
+    0xcf6e7df4, 0xecffe027, 0x091a55a1, 0x44224ad5, 0x1be36c18, 0x58357271, 0xeb240d4f, 0x21f0cf85,
+    0xa9457725, 0xcf6fc0e2, 0xa4dc038f, 0x06e39ef3, 0x46929254, 0x3d5b2cfe, 0xe60c714e, 0xe1a4252f,
+    0xa3394c44, 0xd9931d4e, 0x846d2cae, 0x7b92e2df, 0x0c247b63, 0x8e0f5fab, 0x81a6d1c6, 0x401f1efb,
+    0xc1b6be76, 0xde0c7794, 0xaaa42929, 0xfe8bf7a5, 0x64ea88fd, 0x130bea55, 0x4a72f2b6, 0x48a3e365,
+    0x236c7052, 0x1aef4013, 0xe099d305, 0x4d60fd01, 0x14a8e53b, 0xcd77f0e8, 0x28dee727, 0x6bae7f10,
+    0xf812d5a4, 0x38a11201, 0x54288e98, 0xa1229c60, 0xf778f122, 0xa8566147, 0xd413b785, 0xd5446852,
+    0x722a69b3, 0xd6948aac, 0xda1fc18c, 0x84b2bbda, 0x768e10d9, 0xbff6e4bb, 0x2e998ecf, 0xff866369,
+    0xedd9a358, 0xd5ada105, 0x268afd1f, 0x720f78f1, 0x842508b1, 0xe868eb1b, 0xdb4c5cd5, 0x2502d795,
+    0x3ca544e8, 0xc9056246, 0x7d79a30c, 0x845e75f9, 0x640dd32d, 0xf0ed30a4, 0x8cab0726, 0x06330762,
+    0x0eb40254, 0x37dfd305, 0xe33fb019, 0x1acead99, 0xfa46dd76, 0x5fd5b988, 0xd89e2505, 0x666cd9fb,
+    0x47c3a818, 0x2be66079, 0xcfe8905a, 0x1a52e953, 0x0ebf8d06, 0xbd0574c3, 0x8238a959, 0x55e51dad,
+    0x31e8a570, 0xf3c15df8, 0x3aa4f6df, 0x730e390b, 0x689dedb6, 0xd4b5a0e5, 0xc600b25f, 0x2d0a028a,
+    0xc30d2f88, 0x876f4cdd, 0x877ba681, 0xa698c646, 0x493983e9, 0x28caa284, 0x250d1aff, 0x4adb120a,
+    0x8376e6f4, 0x4ccb5523, 0x06a7278e, 0x02a27163, 0x00458e4c, 0xe6a866b2, 0x472fcae7, 0x5ab0d4f3,
+    0x0d39894c, 0xb360a3f5, 0x8bb7b9f5, 0x9d2407d8, 0x394505c1, 0xe94cd3ca, 0x551bf87c, 0xc42e2d6b,
+    0x5cbf4a9e, 0x5aaf3d83, 0x0406d832, 0xcf593ab6, 0xb91a21a6, 0x8b12a592, 0x39a97425, 0xc4113e77,
+    0x9dece354, 0xf041d58b, 0xe9dba28c, 0x59f3848c, 0x95ac07e5, 0x49ef9f2a, 0xc20875d0, 0x3b19b68f,
+    0xf586015a, 0xba36a551, 0x15555e79, 0x84bafe2c, 0xa7949100, 0x6a8c37ce, 0xd0e87d63, 0xdc234038,
+    0xf7abfb95, 0x1d57e0df, 0x2c6fc57e, 0xb643c097, 0x190765d7, 0x4878f09e, 0xe79103c7, 0xda088c9b,
+    0xf6aab195, 0xb74c5050, 0x60e07108, 0x88e63f7a, 0x8eeccaf5, 0x0d9b8912, 0x6014d264, 0xd51ffa52,
+    0xb20beb10, 0x330f1996, 0xe3c7c7ef, 0x1da94385, 0xda911b4d, 0xac5bcf2a, 0xa3e5a45a, 0x02cd6513,
+    0xcaaf55bf, 0xa66c51d3, 0xa950ec76, 0xae37f653, 0x88d8e2f7, 0x3ac069c8, 0x496210ed, 0xe6a944a0,
+    0x409ba413, 0xc842ad88, 0xca319a25, 0x96c8b104, 0x6d0cd829, 0x5c95f6b1, 0x520243d9, 0x905e5490,
+    0xe16dea7e, 0x0693e716, 0x42feb016, 0xa43320e4, 0xfbb8dbcc, 0x049d39e9, 0x32c6a915, 0x3b837b0b,
+    0x6b4ea033, 0xb2d29c92, 0xd45e7571, 0x113fc19e, 0xa6240c28, 0x5d543688, 0x44141ff6, 0xc8a18dc6,
+    0x7e1a8865, 0x6fcf0b9f, 0x8d689321, 0xf0e8ca36, 0x696e4942, 0x1083d7dd, 0xd65438ae, 0xefe78759,
+    0x7a70df40, 0x1236d6f8, 0xa6af196b, 0xcd9354a5, 0x56458624, 0x9b621118, 0xeed79b10, 0xf2a8e854,
+    0xb173c108, 0x7f3721c8, 0x8fe3ca7c, 0x944421d6, 0xaea7393d, 0xac527de1, 0x7b2adf58, 0x3d86cc57,
+    0xd8c97be5, 0xb339b033, 0x78161fa7, 0x132737d0, 0x43f78b44, 0xfc9b5018, 0x7da2f915, 0x522b845c,
+    0x6ddd4576, 0x07297a4f, 0x8ac9cf84, 0x24925090, 0x9c737692, 0x69ddea55, 0x09b11d25, 0xce076ebd,
+    0xab7be206, 0xfd041975, 0x5d0912d4, 0x18aab45f, 0x70ba9c4e, 0x9ab31318, 0xafa14dc8, 0xc9cb7b24,
+    0x3a19c55f, 0x3e5a9711, 0x806d662f, 0x8a8a56bd, 0x3f023bb4, 0x2d1c6c05, 0xd803d794, 0xa9f9020b,
+    0x7ad59cda, 0x1c9c2bcf, 0x1ae2c5e5, 0x1870d591, 0xd5b01293, 0xf812fcdd, 0xf96ceb26, 0x38e21f2a,
+    0x11b235d6, 0xad72c984, 0xdaaa1e6e, 0x24a6e2e9, 0x5b99f80e, 0x97b21701, 0xc108d1f8, 0xac8b1b05,
+    0xee21489a, 0x2c5a59f5, 0xf632e231, 0xbec0ce29, 0xb0df18fd, 0xa5725521, 0xaaead6a5, 0xe4a17642,
+    0x50a89288, 0x1bcb45ba, 0xa996c935, 0xe9d68791, 0xb794c846, 0x181eee5f, 0x1452f8fa, 0x83494bd1,
+    0x71395721, 0x014cbd4e, 0xd89a36ff, 0x132adfe4, 0x12cd430b, 0x4d920623, 0x4a6b3ef9, 0x4d4521fe,
+    0x37798e8c, 0x9e2014b4, 0x5a41cb3c, 0xa5ba5172, 0x0028ae12, 0x2f7fbd84, 0xa6dcc018, 0xd102414d,
+    0xe4337f6d, 0xc2913022, 0x03d1a2a8, 0xeb56a344, 0xbfb0cf18, 0x73766ed5, 0x26c48329, 0x75326e77,
+    0x424c511d, 0xce3fb55a, 0xd5dbe3ee, 0x5cf956b6, 0x965a0401, 0xbc2a503e, 0xa1890094, 0x6984aff5,
+    0x00000000 }, /* 10**00000000000000000000000000108307409926594330452281804068089207165485823256867\
+                         83496759685861775864483615725089999900023844295226942934417817982702456930304 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b,
+    0xd9d6a748, 0xdb564041, 0x73c2ce83, 0x3287ef4e, 0xea8f9d1f, 0x125f55b1, 0xd685eb0a, 0x1af72401,
+    0x00000000,
+    0xcfc3db65, 0x7948627c, 0x34b21d1d, 0xc75466d2, 0x7f696a45, 0x003135b6, 0x55bb30fe, 0x81234f3b,
+    0x60948231, 0x7b8af4aa, 0x0f46aeb4, 0x9fa209a5, 0x7ea02c1b, 0x4342cc38, 0x3441d060, 0x07a727a5,
+    0x7ff30da6, 0x78d7f978, 0x26893532, 0x4c0ff9cc, 0xd68ad186, 0xb49ca3fe, 0x143f1059, 0x70e8c91b,
+    0xf8d3057a, 0xc469ac0b, 0x86a594e2, 0x783540f6, 0xf6c54a33, 0xbdc8812b, 0xb8c8fd59, 0x9917ab2e,
+    0xc36676a7, 0xbe0e7d37, 0x408bd7ba, 0xae66d3ca, 0xcd9b36cb, 0x3771e5f5, 0xe0179b55, 0x088d8a6d,
+    0xdb97ba97, 0xaec8e4d8, 0x3303710b, 0xbc226f5d, 0x265cd85c, 0xc536e6d3, 0x9ba2bb24, 0x4c4bbc90,
+    0x4daf1bb0, 0x61d7a82c, 0x0a016de9, 0x1d205ed2, 0x143708e6, 0x9d9f566b, 0x4f0c6112, 0xe3ad1468,
+    0x72de65a7, 0xa1e04a84, 0x648ccae4, 0x707115a7, 0x1a7c2ba3, 0x52b89d56, 0xfc7f68a1, 0x1f7ef8cb,
+    0x1fbb3c90, 0xf9d771b8, 0x5bca04b0, 0x14cbb5c2, 0x2c974294, 0x0877a268, 0xea52d2a7, 0x7ae6141a,
+    0x079417bb, 0x6e08f01f, 0x50cb4f52, 0x3e556575, 0x37b2e678, 0x68031afb, 0x40bcd2a3, 0xcd3d3b6b,
+    0x8a2c01d7, 0xa2a0f5c5, 0xe19d8092, 0xcb271af2, 0x346383cc, 0x94b6e0c6, 0xb1f48f8f, 0x15724d68,
+    0x0be8274e, 0xdf0a1a74, 0x1ad0d2b6, 0x916d7ee3, 0x88c1bcd1, 0xc3c80869, 0xca0c42a1, 0x6bb290dc,
+    0xd95ff9f1, 0x6a8e13ff, 0x9efbd90f, 0x62ea8565, 0xe9b84df9, 0xf739b6d3, 0xcb8f4cfc, 0x08fa90b0,
+    0x24af7ea8, 0xbfbab7ea, 0x48c8b74b, 0x8c781fb9, 0x5f37e179, 0x9295dde5, 0x385d4d1d, 0x4e4284be,
+    0xdd98aad2, 0x04485a00, 0x6562974e, 0xd7a41753, 0x1719891b, 0xe9bc2734, 0x8ce0c7e4, 0xa463432e,
+    0x7a8beceb, 0x84e8bbd6, 0x3a5b67e7, 0x36f07955, 0x74418088, 0x00eec7a4, 0x17bd7cf3, 0xa54a11b0,
+    0x1082a9d5, 0xa02bcbc2, 0x9f238552, 0xf8b22280, 0x2f88b2ec, 0x35f5a24b, 0xcad24466, 0xed844a1a,
+    0xc6d811d0, 0x08391063, 0xd533e585, 0xd85d436c, 0xa8d3c98f, 0x8db4c9ea, 0x6e10c09d, 0xe51c2f65,
+    0x3c9da62c, 0x588494f8, 0xec56631b, 0x83f80ed1, 0xcc33aff4, 0xb92333b1, 0xd4bc7660, 0xa2bfc6f4,
+    0xbbe2f825, 0x28934050, 0xe75818c9, 0xa8c8138b, 0xff72f797, 0x7f0c6161, 0xee8bca2f, 0x801dd023,
+    0x271e9316, 0x0f4bec06, 0x4dd304d0, 0xcd71c7e3, 0x39da6f9a, 0x2b798fdd, 0x05c95513, 0x827b5cbc,
+    0x67dfd100, 0x405c5b7c, 0xe0093657, 0xf0473124, 0x4154f533, 0xc7b32eef, 0x646a1bfb, 0x2e65b653,
+    0x0db21248, 0xba0ea0d3, 0x9c5dd2f5, 0x52b78ed1, 0xf199b82d, 0x0e2d844c, 0x17004e28, 0x87848467,
+    0x4a86c559, 0xebee147d, 0x95b6c3a3, 0x24ae1a8e, 0x27898e69, 0x64e97769, 0x8ae56c8e, 0x48cd3f6f,
+    0x4cef6b5e, 0x7bbf4150, 0xeb1277af, 0x6d016fe5, 0x5aea7e21, 0xe148796c, 0x8c33c24b, 0x3c671033,
+    0xe56dbf1b, 0x09587b7a, 0xcf08d566, 0xaa72a927, 0xdab23783, 0x3c668f1d, 0x3dd81842, 0xcd130358,
+    0x6f8f9c26, 0x2678f0db, 0x07f7c607, 0x38184321, 0xbc2bb2cf, 0x04ef41ee, 0xb3dc6c89, 0xa0420326,
+    0xb60c49ce, 0x7a86e5c8, 0x9d99ec8e, 0x3a2d8695, 0x1473ab43, 0x559db3c1, 0xdf86992d, 0xc549064f,
+    0xeda69517, 0x8269b07d, 0x1755952d, 0x052159e0, 0xd6303034, 0x1b2807bb, 0xcc7b6edb, 0x080e0ddf,
+    0xac635c32, 0x154dc407, 0x8df4c664, 0xfefb85e1, 0x331344ad, 0x4c3fce63, 0xe1d38c97, 0xc5a0344c,
+    0x1429e2d2, 0xd63dba3b, 0xd26ad3e3, 0x7fe43104, 0x00ccbfb8, 0xf022cf93, 0xddb7c585, 0x9d031537,
+    0x22ab92bd, 0x688b0518, 0x2262782d, 0xfd815c12, 0x75c4b983, 0x6bd6162b, 0x202cc5c9, 0x100e3f2b,
+    0x4f89bfdf, 0xfe270bec, 0x668e8768, 0xe2418cc3, 0x2dd34272, 0xc79044a5, 0x79f2f642, 0x3ebd96a4,
+    0x624e671a, 0x2c860ccd, 0x3fafb98e, 0x747c0bc1, 0xb5a8e34d, 0xcb22aa84, 0xeef98c29, 0x1a627303,
+    0x4b8f74ef, 0xbfedc503, 0x9dca7a76, 0xc9da777b, 0xcf660326, 0x9c2f6be9, 0x44338d02, 0x261ad543,
+    0x9aea6921, 0xbc7b24b1, 0x530ba646, 0x178970ca, 0x3f957bf8, 0xdfa8e931, 0xb8e593e6, 0x62ef9b78,
+    0xb94d7695, 0xd98bcea2, 0xff6d2acd, 0x5c34f968, 0xd1f66089, 0xf229c5b9, 0x82fbf915, 0xf81fd07f,
+    0x420acadd, 0x9bfa9592, 0x6c011012, 0x890cca79, 0xf726a5a6, 0x9b1fd2a6, 0x25b5e2e3, 0xac7a25cd,
+    0x317c6127, 0x179ae884, 0x263350e4, 0x141f3080, 0xa8127a3d, 0x32c7bd10, 0x717410a7, 0x66e5b23e,
+    0xaafed79d, 0x01790708, 0xc9848e96, 0x7effce45, 0xc24bd6df, 0x220ca280, 0xba487ff0, 0x13321a8b,
+    0x8442fa35, 0x192458cc, 0x0cd6886d, 0xb4181b8b, 0xb31e2365, 0x39768636, 0x80ced351, 0x528e2b8d,
+    0x93340679, 0x79390310, 0xd439e06c, 0xa6c349d7, 0x3b7dfb3c, 0x4e0fa371, 0x0cc2e6ba, 0x8d9f93a0,
+    0x9c684310, 0x287a4f22, 0xcdb5009b, 0x8eeb98e0, 0x2f0b9551, 0x20064ed8, 0xc4db4779, 0xb4e4d4c1,
+    0x19ca852f, 0x262f75f7, 0x8b4ebc0c, 0xfc79d617, 0x183d7961, 0x84cd7cd0, 0xb676f22b, 0xf99aab93,
+    0x5146ff8b, 0xce6b2b49, 0xf3bb69ab, 0xd123bda9, 0x21c04b0b, 0x51199f1e, 0xee7fd5bc, 0xd17c4b7d,
+    0x6ad744bd, 0x323ad349, 0x29269bdf, 0xcaebebce, 0x1b1972fa, 0x2357d0e4, 0xacd72384, 0x17b42a3d,
+    0xae3c85f1, 0xb2e2f716, 0x48ee6710, 0x66288d45, 0xd3162792, 0x1e2cf3b2, 0xc8fdb727, 0x1b99ea5a,
+    0xf51370ba, 0xd3a8d7df, 0x171be512, 0x2f277b36, 0x1e8a40fd, 0xa6aff26c, 0xeeeb6549, 0x05b285a5,
+    0x995345dc, 0x7e233311, 0x95373549, 0x81a2dad3, 0x61a9351a, 0x57636802, 0xa87fa132, 0xdac81bf2,
+    0x3a724407, 0x45991f49, 0x1de0139d, 0xe0b01fa2, 0x303e5a01, 0x7174301f, 0x0b72d69d, 0x6dab9917,
+    0xc1f75123, 0xd6e9ddf3, 0xce73d47a, 0xc1ef2aa2, 0x5f25944a, 0x7667892e, 0x964787f0, 0x055440f0,
+    0x27b80ae6, 0x8bc9f196, 0xbc14b116, 0x6715ae60, 0x7c4f1f21, 0xd2b99082, 0xd6d41e26, 0xc7a73963,
+    0x99a72f9b, 0xdd0bebc0, 0x1962df83, 0xd687087b, 0x76a91b70, 0x9ad2d2e0, 0x599b29de, 0x2de56416,
+    0xc44515f3, 0x84c779ab, 0x80eb0b6a, 0x37a27b68, 0xe0ea35e6, 0xd3c0fadf, 0xaf4d5e5a, 0xde411af2,
+    0x391e358f, 0x67dba9ff, 0x5273c365, 0x9cf46000, 0xb20c10a8, 0x2edcbf05, 0xefd488f3, 0xf55c9a66,
+    0x96818229, 0x969a7356, 0xd8db266b, 0x616bd433, 0xb04c3832, 0xe79c2112, 0xfffd0a56, 0x7329c49a,
+    0xf499519d, 0xb3f1b793, 0xe24295a2, 0xff9a5ba9, 0xe5a5e095, 0x8af16261, 0x436ba18c, 0x84325625,
+    0xbf71c384, 0x03372c4d, 0xa579715b, 0xf6a8b15d, 0x49165ea2, 0x08b0f8ef, 0xc934ed31, 0x7538813f,
+    0xded014aa, 0x7e6f6317, 0x4f4219c2, 0xb07ee4b7, 0xb6cd4fbd, 0x5303feb4, 0x3b4aafdb, 0xe0a1afc5,
+    0x7c159546, 0x37279a6d, 0xcf169db8, 0x5a8ed55d, 0xadf0d622, 0x43101be8, 0x3d58dc05, 0xba4e8b0f,
+    0xc67dbf8f, 0xda568861, 0xac101756, 0x2be6392a, 0xadebb4d1, 0xf7ae69df, 0x856e7102, 0xd8ce050d,
+    0x36ca876b, 0xd01a3687, 0x7ec5bfbb, 0x1ed99b43, 0x68ed48e9, 0xeae1fb2b, 0x53adf199, 0x61eee183,
+    0xd38ad5a7, 0x6898e0c9, 0x004a5047, 0xaf9aabbc, 0x696f4c67, 0x4448f287, 0x4c5c25cb, 0xd14610d2,
+    0x9c544e40, 0x5e4389d2, 0xba8ae0f7, 0x31ca3fd3, 0x84b6fb57, 0xeea17fb8, 0x3ccb782c, 0x8cf1d195,
+    0xc78a40d9, 0xba4d3e68, 0xac03a78e, 0x490a1a3f, 0xe05ffdf7, 0xc753fb31, 0x90422aa6, 0x365c4a74,
+    0x34bf7343, 0xb076c44f, 0x1e15c3e5, 0xbba6d02a, 0x94640fec, 0x8093a1d8, 0xcd1bcdbc, 0xd3897813,
+    0x918a48ca, 0xee4ea30d, 0x87b4a5d1, 0xc197d7a7, 0xf70af387, 0xaffbfba0, 0x0c8312c5, 0xb127e20b,
+    0x6c560f8f, 0x8cb33e42, 0x6aaaf490, 0x7813831e, 0x391cff98, 0x0385c4a7, 0x591a72bc, 0xf352565f,
+    0xfff74131, 0xf05fb53c, 0xfb48bbd3, 0xa9ec39dd, 0xb32c36b1, 0xba9b220b, 0xbc6f5c2d, 0xc5a573f2,
+    0xcea0e921, 0x8b05e356, 0x1de4d12a, 0x08d6d6fa, 0xb3d90827, 0x839058f3, 0x06d7a48d, 0x24b0c6e2,
+    0x34173690, 0x1927c10a, 0x61070a76, 0xe6518897, 0x897cf100, 0xbca8bfd8, 0x9398c3e8, 0x8f761be7,
+    0x4190bfd3, 0xa89876ef, 0xc34f2c10, 0x1e9c1ad8, 0xb8068197, 0x3bdb7306, 0xc169267c, 0xda674af3,
+    0xbc3b0e63, 0xf3906e05, 0x852f4bec, 0x2d2783ca, 0x30c025e3, 0x7e6de690, 0xcad189f3, 0x15cf2975,
+    0x76a02737, 0x2d3726da, 0x116ea578, 0xa73a006f, 0x9e1f4766, 0xcf89c2a2, 0x15bd288a, 0x48a42b74,
+    0x0bd0b116, 0x2959ab84, 0xb9ee2af6, 0xe9b9c1db, 0x292650e0, 0xbc87a7a1, 0xf92a7657, 0x0b3edfda,
+    0xe2e07ff5, 0x7c49b15b, 0xb5eaac80, 0x557126cd, 0xcf0aff49, 0x118fe3ad, 0x856fdd4b, 0x8a6d855d,
+    0x3e75e48a, 0x0920fbd2, 0x1e261430, 0xe273f1fa, 0x25b4973b, 0xcc03973c, 0x4f443d12, 0x96be8a40,
+    0xae682c8b, 0x3bc660f0, 0xf5a99bbf, 0x1421ca10, 0x75f90ce7, 0x9e34aeb2, 0x5b592150, 0x5628602b,
+    0xecb2267c, 0xd1212b4f, 0x798ae488, 0xf84f7920, 0xf34a2876, 0x2e7b16e2, 0x9b08b4cb, 0xf2171b6e,
+    0x953acc9c, 0xfe1ed61e, 0x96108719, 0x206e2fbc, 0x6a575784, 0xf2640bef, 0x03d03b06, 0x7645ee44,
+    0xbc9f3b46, 0x1d288b12, 0x8f2d0b72, 0x25f6e016, 0xffd45260, 0x5dfebd78, 0x7dbed0e2, 0x971e5010,
+    0xa7f27d76, 0xc7d1b254, 0x19511059, 0xb60e68ed, 0xcbbb72e2, 0x957239b1, 0xdcdc7517, 0x45eaec60,
+    0x33d85135, 0x39763886, 0x2cc46c59, 0x7d9a8799, 0x39a4aa9e, 0x5fddbbc5, 0x99033da6, 0x23b3cf69,
+    0xccbc4ba1, 0xa56c270f, 0xecec9ade, 0x7e315ea0, 0xbedd47e5, 0x57ff163f, 0xc0592ccf, 0x1f9964c9,
+    0x62e62ce6, 0x9a80319a, 0xb54e496a, 0xe8f83bc2, 0xfb8b775b, 0x655d5207, 0xfd9d2a9f, 0xbf5f6000,
+    0x99891c1a, 0xfadf2589, 0xc0cf33ba, 0xc650f8aa, 0x97be4bbf, 0xb812ce54, 0x40b58893, 0x4312d0fc,
+    0x250f919d, 0x5e9f0f92, 0x37af74ee, 0xc3f529ca, 0x252a10af, 0xbeecfa9a, 0x1bc8915d, 0xc6a29304,
+    0x0812c2fa, 0x3d811945, 0x773bf11d, 0xae8552f8, 0x228c7612, 0x288945a9, 0x029ef106, 0x04c8be21,
+    0x8d0c226a, 0x8f6f9afe, 0x4d8e78ab, 0x8625fedc, 0xf96e45fd, 0x648f9bd7, 0x600a047d, 0xcdd6c970,
+    0x67fbbbee, 0x8896ce22, 0x6fb71e71, 0xeed5e30f, 0x7d6b6ccb, 0xb5c888c4, 0x42ff5d5d, 0x9989aff4,
+    0xe5602a81, 0x7bbaa6bf, 0x34072da2, 0x2690aaf5, 0x2cfa404d, 0xdf0ee43f, 0x09caab17, 0xf6374efe,
+    0xb6a964e0, 0x14f5b55f, 0x488d98a2, 0x3a4e8727, 0x195d534f, 0xe018f8ed, 0x946343b1, 0xd47c4d1b,
+    0xe8d37e15, 0x0c97682a, 0x27347819, 0x7ef98fe6, 0xa244b921, 0xeba7fc27, 0xe5dc9206, 0xf2cc7e51,
+    0x57080e9a, 0xbe829611, 0xfb287e5a, 0x86f78c73, 0x769dfa92, 0x0921c1d2, 0x0f4fdd66, 0xc8bea701,
+    0x005706bc, 0x14fdde2d, 0xdc30d5ef, 0xd44ee7cc, 0xc3c83b5d, 0x9a58cc4c, 0xdae06ee9, 0x6d06ccec,
+    0x530620e1, 0x0e3696a5, 0x9038f66e, 0x6250ef01, 0x84b89670, 0xbd39a810, 0x9a29854e, 0x9072743a,
+    0x87ab5ef7, 0x2032701d, 0xc9b39816, 0x72369676, 0x535efd4d, 0x7bca28ee, 0xa6cbd616, 0x105adfac,
+    0x94b6823a, 0xd29d24b2, 0x600fa78c, 0x61e8221e, 0xc13cf0c8, 0xe4f96e4b, 0x650c2e10, 0x12964db8,
+    0xce5eb69d, 0x2189e746, 0x99aa3b57, 0x0425fcaf, 0xf124f948, 0x40068650, 0x50ea1fe0, 0xd48df3c2,
+    0xeb4485c2, 0x42d3e372, 0x8ff53b81, 0xf458a87f, 0xe92ac343, 0x7f7462ae, 0x941452ef, 0xc33985d9,
+    0xce18865e, 0xd15a9ec8, 0xf3d218d0, 0x5c2a801c, 0xae9ff737, 0xc2e67077, 0x954e4a4d, 0xdb15e0a7,
+    0x49eb1417, 0x449744e4, 0x014d25a9, 0xacabb79c, 0x05441d4c, 0x7b5d0798, 0x72bb804d, 0x0585c4cc,
+    0xa4180539, 0x146c04d5, 0xb562b321, 0x9e6fc4df, 0x87cf1069, 0xeeaedf69, 0x69dec81a, 0xb4803fe3,
+    0x0eef524f, 0x6eb67cdd, 0xa47edcf5, 0x83878336, 0x09d174cf, 0x8d5ad56c, 0x80da0c84, 0xc4d106d3,
+    0xad420a1a, 0x655d3b66, 0xbaa8d3c5, 0x46fb6d1a, 0x760cbc32, 0x979eda5c, 0x903e9e50, 0x1ca9aa5e,
+    0x99ffc91a, 0x1a0e8c07, 0xbd86d13b, 0x3d6506c3, 0x9904a386, 0xd3e23e71, 0xd2a20615, 0x4dc79f60,
+    0x198d336f, 0xbc7c2f3c, 0xabf7a8ce, 0x9fee1204, 0x1aa9a1b7, 0x7881a44b, 0xb4a04177, 0x37793b8c,
+    0x50ba1110, 0x93c8def7, 0xd2a725ec, 0x9a31b23a, 0x1b238347, 0x2ea5b521, 0x54a1ca50, 0x4a8e0d9a,
+    0x833eff49, 0xeeef6493, 0xf6dd6656, 0xce02f004, 0xecafcab2, 0x79739933, 0xe8afbda2, 0xd37daa39,
+    0xf05d2708, 0x3e765b37, 0x112850a5, 0x355518c6, 0xd9ebbf8b, 0xa31dd71c, 0x2a9cdd3c, 0xd09b8467,
+    0xd49ee28a, 0xf8744082, 0x892062da, 0x2556f7f8, 0x57a76ca1, 0xe8edbc98, 0xd0248fd2, 0x73b942a0,
+    0x3e15f2dd, 0x7ae67d62, 0x38ef969a, 0xb935ffab, 0xad701e02, 0x657e32ac, 0x5c3aae28, 0xb8190910,
+    0xc8665174, 0xe2d28b70, 0xf4308c96, 0x47799c31, 0xa60d64b3, 0x5977f438, 0x9309a36c, 0xa0962b8b,
+    0x9ebe8584, 0x69395cbe, 0x27871d91, 0xd61a88a7, 0x1239847f, 0xf39fc952, 0x8f3c946b, 0x7dfa64d0,
+    0x2224bce2, 0x5bc41fc7, 0x2fb72f9f, 0x4b18a5a8, 0x0737be53, 0x389d5f7b, 0xe1c01753, 0x96157cf1,
+    0x48d89439, 0x1f771b36, 0x60cdfe85, 0xe38cf1d9, 0x857524f6, 0x804f5b89, 0x853c487d, 0x1bb17d01,
+    0x50d9cdcd, 0x24c78d75, 0xfadb4d27, 0x90319d64, 0x18cdb3bc, 0xec78532b, 0xb2df2bd8, 0x2abd640e,
+    0x7277d8c4, 0x6ed1cba8, 0x6a2239ed, 0xd50a045c, 0xc79b5986, 0xdbbea6a9, 0xd386fe30, 0x13a5761e,
+    0x3b38037b, 0xe667ef45, 0x67f6a2a0, 0xb9d1e998, 0x5f5f2760, 0x74027f4e, 0xad3ca0c3, 0x161f4899,
+    0xf69f9a1a, 0x81e91e88, 0xc402c906, 0xf95fd36f, 0xfdaa6379, 0xdb51324a, 0xbd93fe2b, 0x4b997389,
+    0xb10eeb68, 0x23fc9b74, 0x69474c1e, 0xe144a18c, 0x38c74328, 0xfefc101e, 0x0a64aa4c, 0xc5bc5cab,
+    0x09658517, 0x4c4800c7, 0x6958251f, 0x63932665, 0xffd608ed, 0x374e2af3, 0xd99614e6, 0x5a724eea,
+    0xa75d2a95, 0x3c03c9c0, 0x62e5699f, 0xbb2995ad, 0x6f45fddb, 0x49422114, 0x9fe158be, 0x57ced340,
+    0x1972cfcb, 0x9c1d86a4, 0x494b8a0f, 0x822f046b, 0xd35a3506, 0xee222b05, 0x08adc49b, 0xd5a0e033,
+    0x861bfa46, 0x2feba358, 0x46e6f72d, 0x6dcf6185, 0x24b98b5f, 0x5a3a9f65, 0x74f0a57e, 0x73ed9c4c,
+    0x5a13446a, 0x8ac2c71f, 0x9dc1723c, 0xa727b6d5, 0xe769a514, 0xc2ecc4f0, 0x44f049d6, 0x1a4452f0,
+    0x00000000 }, /* 10**00000000000000000000000000054153704963297165226140902034044603582742911628433\
+                         91748379842930887932241807862544999950011922147613471467208908991351228465152 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d,
+    0xeceb53a4, 0x6dab2020, 0xb9e16741, 0x9943f7a7, 0x7547ce8f, 0x892faad8, 0xeb42f585, 0x0d7b9200,
+    0x00000000,
+    0xa3139238, 0x4f211d97, 0xbbc73b93, 0xe89055e7, 0xdf30b1c6, 0x8eafb65b, 0xb7ebde9d, 0x992eb7ff,
+    0xe5ac3e16, 0xc14b852d, 0xd18e572c, 0xd297aa7e, 0x3a7b7ee6, 0x8f31b2b7, 0x64744940, 0xd733f884,
+    0x55cd50ce, 0x543deaa6, 0x002cc43e, 0x4c9fd884, 0x0532530b, 0x037568b2, 0x458cbe05, 0xf8cdc9ee,
+    0x3ebf4e95, 0xa1a32568, 0x216ddbc2, 0x89bb585f, 0x8bbac85b, 0x63e58e95, 0x06d7acee, 0x78ee966a,
+    0x5f809d6a, 0x2462e353, 0x7ae6e615, 0xa682299c, 0x20b88de6, 0x8de8ea0d, 0x3ba95199, 0xade38d2b,
+    0xe47d87b5, 0x2a72d4d2, 0x5c5adf3c, 0x6daa648f, 0xc181a1d7, 0xc277661b, 0x89af846e, 0x23936fba,
+    0x09d34829, 0xdf8413b2, 0x4a020880, 0xf3e7cf97, 0xc8ac67da, 0x91956b56, 0x98a3f637, 0x6f32d0d4,
+    0x99ef1fbb, 0x05a4c2e9, 0xc63e6029, 0x9af63e9c, 0xd8f00ea4, 0xb011c071, 0x212a101c, 0x16a0d2c7,
+    0x07f76e55, 0xb20a9be6, 0x7e909573, 0xcb25767a, 0x0864996b, 0x2fa64989, 0xfb104ced, 0xeadeef5f,
+    0x8f817655, 0x7f2f2928, 0xe03f0200, 0xf5b4686d, 0x7d017e32, 0x72734a01, 0x2750b310, 0x4866f378,
+    0xcdad3991, 0x0bfb63ea, 0x8261c721, 0x2dc62623, 0xf200d200, 0x20a00b57, 0x86382643, 0x9a432385,
+    0x1d7c7d1f, 0x19c0dc7a, 0x9c2595ae, 0xb12d626c, 0xc4056a14, 0x2bc19338, 0x049a674f, 0x049669b8,
+    0x6b560c4a, 0x4a48c0d7, 0x9918f904, 0x4c4c63a6, 0x24bb93b4, 0xc9440410, 0x02e72c8b, 0x2abac549,
+    0x561c5d9e, 0xe76dc371, 0x6742d505, 0x5c7261de, 0xc9549df0, 0x4474be04, 0x9e7d99b3, 0x52a85df5,
+    0x0075ab13, 0x53948860, 0xa505a157, 0xbaa3a593, 0x250e400c, 0x0a45fff6, 0x6bf1129f, 0x6e94539e,
+    0x96134c64, 0x65eacc04, 0xa93552bc, 0xdc7152a6, 0x423c360e, 0x79cc9cb7, 0x7b8a47eb, 0x1b36c61b,
+    0x4e4ae0b9, 0xd1c71e4c, 0x1bb57288, 0x1e53194b, 0x51d6bb4c, 0x0096824d, 0x6c17f207, 0x6df4b82c,
+    0xf0d49fd3, 0x6f21fe82, 0x0f3b998f, 0x1a81d51b, 0x47e60df0, 0x60f42f7c, 0x86173c9c, 0xbec7efa3,
+    0x39cf3722, 0x5e9f9691, 0xaa56b1e3, 0x93bdf8bf, 0x1ad70d67, 0x98635d55, 0x8a6c0e15, 0x81a73b1c,
+    0x8c63b392, 0x01abaf50, 0xda915073, 0x5ec11efd, 0x059305d1, 0xe18d98bf, 0x47f4797b, 0x068f096f,
+    0xaa21f74d, 0x5c97d29a, 0xda856c89, 0x7daa0026, 0x9e1e78bc, 0x18c13a6f, 0x8883d3a4, 0x87a9bb53,
+    0xf31dae7f, 0x9f340de5, 0x223f3fe5, 0xfa87d25b, 0x2b7eaf7d, 0x12de8963, 0xa73a8d63, 0x981664c4,
+    0x216e2254, 0x78d6d2e5, 0xf7ce445c, 0x8966714c, 0xb6f9a3e3, 0x01904569, 0xe2cfc78d, 0xac2ed682,
+    0xef592ddc, 0xf5247f25, 0x11c35a49, 0x2fa06e09, 0x8962b469, 0x0592359e, 0x75f29c5b, 0xdeb17ffb,
+    0x55f723ca, 0x3ccf6f1b, 0xe8ee60f0, 0xe7bcc06d, 0x178c8a50, 0x73dbf6d2, 0x2e2c56b0, 0x1938651f,
+    0x6c2abde7, 0x9ebf7dd7, 0x664b8f61, 0x3407303a, 0xb5196f96, 0x62ff1fcf, 0xb6bf53ac, 0x45b8552a,
+    0x10d39d60, 0x64c28910, 0x8ecb8636, 0xd0b40491, 0x7b28f555, 0x3e1aa46e, 0xb7bff2f4, 0x270e3023,
+    0x735045c8, 0xf19b3608, 0x002f8ed2, 0xaa765dc3, 0x953dbf9f, 0x73ee247d, 0x10bbb60a, 0xb9323848,
+    0xe4e726e8, 0x5a90acdd, 0x7b18544a, 0x3d7758a2, 0xad93927b, 0xfd9d37fd, 0x66cc2ac8, 0x4f651983,
+    0x13b3965e, 0x4df9ccbe, 0x0774d505, 0xd3c0c468, 0x3585c252, 0xf51e88e8, 0x728c77ec, 0xf41e8b32,
+    0x11c498fe, 0x95dbdf8d, 0x7c4161ac, 0x811ad1d4, 0x4f3b2aa7, 0xe068db3e, 0x544476d1, 0x63ce75d1,
+    0xf7e4517e, 0x54114e4f, 0x7b37a966, 0x2f2a8058, 0x6a8df30d, 0x6435f158, 0xb2e43fef, 0xd2caecae,
+    0xd239be00, 0xa8ce9add, 0x98413c6b, 0x780f9015, 0x3c76939f, 0xc3b29498, 0x226fee4c, 0x14dfca52,
+    0xae7b9e7f, 0xc302a690, 0xf8eba294, 0xc5f3bc6e, 0x8e747208, 0x57cb6c4e, 0x0cd85f36, 0xb7b78aa6,
+    0xf4c17fa9, 0x69e86f47, 0xbe31a885, 0x003ecf6a, 0x24117190, 0xeccb5400, 0x91bf07d3, 0xda43ef43,
+    0x942610d0, 0x16b842ee, 0xa86ca092, 0xc9a9862f, 0xed23469e, 0x62e24193, 0x68999318, 0xc75f7e57,
+    0x9cf477fe, 0x07cc558b, 0x2395121c, 0xa6042e82, 0xec5e5ecb, 0x15b3de98, 0x64ecd951, 0x940ec9f8,
+    0x97a4d7fe, 0x284eb8bc, 0x81995829, 0x512957ef, 0xc15269af, 0x294e0b5f, 0x60aaf037, 0x93e119af,
+    0x5ca3eccb, 0xf624a14a, 0xf7096d7b, 0xd9df30dc, 0x77e3a450, 0x379eb2df, 0xee8a036d, 0xd4005de1,
+    0x86faefd0, 0x9a131f82, 0x0d17ca1c, 0xed101be9, 0xa61523c2, 0xca2001bb, 0xfceeae42, 0xf21f848a,
+    0xf933eaa8, 0xb4661cef, 0x231a29e1, 0x8e0e737b, 0x1fb44b31, 0x00af7957, 0x58ca81e5, 0xa290c964,
+    0x6161cc97, 0x0768c6ef, 0xc86b0e9b, 0xdda02306, 0x180488b7, 0x15924c21, 0x82a5ee6c, 0x7f065094,
+    0x4986e5d5, 0x8bcc6ba4, 0x76e296db, 0xad50bdc0, 0xb1ea40a5, 0xea54a660, 0x17b5cc8b, 0xd4a8f81c,
+    0xe6089956, 0x01d0572e, 0x9abaaa89, 0x585bbe36, 0x3f730420, 0xc93a1067, 0x8dbbbc71, 0xb673e2e4,
+    0x508912c7, 0xaf27c6f2, 0x2fded17d, 0x41a62e94, 0xb9d1a505, 0xf984fefb, 0x38f50820, 0x86619846,
+    0x5234613b, 0x676019bb, 0x6c00c678, 0x7146a58c, 0xde0a990c, 0x04388b38, 0x776667e7, 0xb02a691a,
+    0x5e869d65, 0x23ab0c18, 0x11aea472, 0x62c30f62, 0x1072f349, 0x1e39c2b4, 0x680d842e, 0x609c52d7,
+    0x6ad436ff, 0xef63908f, 0x8582df25, 0x02f4ef82, 0xa4413b7e, 0x1189493e, 0x50d1c655, 0x17feeb00,
+    0x4502c680, 0xbc0ba931, 0x346fe645, 0x82ead1c7, 0x08f64b86, 0xa6c4fbb2, 0x8f477994, 0xaa4442b4,
+    0xaa6b7f47, 0xc98612d4, 0x0b3d52d6, 0x9fefa15f, 0x16e562a3, 0x5705ad30, 0x56e5aff9, 0xa4d3afae,
+    0xf66d6838, 0x0dad1703, 0xf982ef30, 0x7715f85a, 0x6f948e20, 0x89c98e88, 0x851a311c, 0x65d9f028,
+    0x11711050, 0x7fde7db1, 0x9804de1b, 0x606cf90e, 0x28e74658, 0x9720fe80, 0xedf021f3, 0x5f99fd68,
+    0xc64ee955, 0x9093fdf1, 0x265d24ea, 0x17e83228, 0x45d5a8ac, 0x19d9ca02, 0x8ffa4d8a, 0x2f4e7ad7,
+    0x06db2a02, 0x83665d1f, 0x52054dc7, 0xa499624c, 0x161c811e, 0x2b205aa0, 0xa71d6e94, 0xe7e852fd,
+    0x4344b909, 0xacb4194e, 0xb4302fa0, 0xd3432751, 0x1dfcd5a8, 0x6ee5f255, 0xeb37a731, 0x48ba53d2,
+    0x862865c4, 0x671d36ec, 0x909ddf2a, 0x2090ccb2, 0x223e6f61, 0x8672628a, 0x35c39b35, 0x3ffa3f77,
+    0xf216aaa7, 0xe5850175, 0x4ea6a543, 0x805430ce, 0x0e755891, 0x225ca3e0, 0xe71e59f7, 0xb8980dfb,
+    0x392d9b62, 0xf6ef48bc, 0x52d8cc2d, 0x4db7b5f2, 0x809d91a7, 0x760eb037, 0xf1945201, 0xdef48564,
+    0x08169010, 0xbd7a2bb3, 0xdd47e4c4, 0x62f2a490, 0x38ae3231, 0x8ac9c7f1, 0x56fd80f4, 0x2a57108a,
+    0x74c3ca25, 0xeb145ec0, 0x0fb673a4, 0xc313416d, 0xd5bab52f, 0x67c0c678, 0xc6081c0a, 0xe0099282,
+    0x4b4fe3d9, 0xa59ba7fa, 0xb37f6113, 0x8cf8ff21, 0x1e8c996f, 0x34f74185, 0xb29fd995, 0x4d1ccb80,
+    0x901f9246, 0x50f97f61, 0xc7125637, 0x13603635, 0x24a654ba, 0x609e85d8, 0xf3591288, 0x1e146500,
+    0x97f4bc73, 0x2e0145b6, 0x9a177186, 0xe58551e3, 0x08bc0b39, 0x6db418cf, 0xa10507a9, 0xd4942e8d,
+    0x086675bc, 0xad5b46e5, 0x94d19f7d, 0x0abe7324, 0xea22345a, 0xe3126d7f, 0x117536f4, 0xa31cbc09,
+    0xc010bbab, 0xb9919ed1, 0x855ec7e7, 0xb044032e, 0x857bab06, 0x76d07fe9, 0xc9b22090, 0x2c073f0d,
+    0x169aa637, 0x70a8cd30, 0x64d52b37, 0xe3bd1404, 0x6692f9c6, 0x06b457a4, 0x6213b54a, 0x97902f3e,
+    0x6ca15030, 0x1ee7d8cb, 0x8d159d27, 0x7359ea10, 0x74949981, 0x1d3f37cf, 0x7626a47a, 0x79f7d818,
+    0x602fbab3, 0xbdefb58b, 0xced3fe24, 0xf8f73d89, 0x0502fa4f, 0xc7504c69, 0xcc41df8d, 0xf04a79cc,
+    0x5218ce16, 0xa67d40f4, 0x4ad54830, 0xf30a5171, 0x15a3b29f, 0xb9abf888, 0x01936309, 0xd64615fe,
+    0x1f3e8189, 0xea1ecad9, 0x6b067a78, 0x382316f2, 0x8bf4d00c, 0x8fe5f8a6, 0xa706fd72, 0xd2bf8fee,
+    0xf604bf20, 0x233ea1ad, 0x62de8461, 0x25e17455, 0x17caa8c8, 0xb4c8f087, 0x1e144ff7, 0x587aac59,
+    0x8809397a, 0xcd00d773, 0xc2114b26, 0xbce88914, 0x2388a488, 0x2314e273, 0xb0ec47d0, 0xa6edc18f,
+    0x04baebe5, 0x2280140b, 0xa13e2ce4, 0xb1f4aedc, 0x2576a387, 0xfdcefec2, 0x8af5b710, 0x0b665f92,
+    0x8522edce, 0xddb373da, 0xc4b8250e, 0x72187466, 0x925d3836, 0x844c7e69, 0x1bde773a, 0xdb8d8249,
+    0xfd3cd363, 0xb841eb42, 0xd35876a5, 0x65bfeb8c, 0xb473f595, 0x3059d559, 0xc954fa99, 0x70d38925,
+    0x270735b9, 0x117805bf, 0x18361dc6, 0x9da1d486, 0xdc1ad159, 0xd29e5d37, 0x3a206f81, 0x2b11aafd,
+    0x260bf883, 0xcb5d7c6d, 0x68c28118, 0xa3c14a90, 0x021be088, 0xc535f780, 0x04913b0e, 0xac26b89e,
+    0x1069f8a1, 0x79d0c403, 0x59048978, 0x6022c417, 0x0013632d, 0x6816071e, 0xc447c6fe, 0x1f558b05,
+    0xd7cd3f4b, 0xb09f2b83, 0xa3f1732a, 0xb34e3bdf, 0xb45b91af, 0xc50be97a, 0xd85f37cf, 0x42aa7d6e,
+    0xd625ed16, 0x583182d7, 0xf13080c7, 0x8c056346, 0x5ebae7ae, 0xc73a15d6, 0x603ea0c7, 0x709da7db,
+    0x3af7a980, 0x3455509f, 0x740013c0, 0x2975f13f, 0xf417f9fc, 0x7c923df9, 0x2263c61c, 0x27f58352,
+    0xcaa6574a, 0x38445f22, 0xa2d56d73, 0x531ab0bd, 0xb72c94cf, 0x7aeb0f4f, 0x23b8d66a, 0x7c1c2392,
+    0x10f2c4f8, 0x92b23aaf, 0x7d4f67e8, 0x83faeb3e, 0x2cc640be, 0xe43ef436, 0xcca99e19, 0xe94ed47d,
+    0xc8764c6e, 0xdc84ca7b, 0x5174cfdf, 0xf3031497, 0x3824aebc, 0x3f8e21d8, 0xcd4c6eca, 0x43770c9e,
+    0x24582c4b, 0x612bc897, 0x30afbb2a, 0xf3e164f9, 0x745d8e6e, 0xfe8642d8, 0x05dc04dc, 0x57f142d0,
+    0xee483cab, 0x4a0fd972, 0x91967fa8, 0xb7657fef, 0xecc93a0f, 0xb60b211d, 0xd466798c, 0x9d84afe5,
+    0xfd5250d0, 0xe1f9dc47, 0x30cb4d1a, 0xa8e88af4, 0x69e6e3d0, 0xbbeb7e41, 0xdee4f7b4, 0x159b22ae,
+    0x12ecce92, 0x38a27f28, 0xeccab48f, 0xb8db240b, 0x63088ce6, 0x09db546a, 0xaf957e8f, 0x8e2baa04,
+    0x9d8875b6, 0x14b1fecd, 0xb4ec7fd0, 0x4f0fe619, 0x356f31d2, 0x0a30229a, 0xfecc89ab, 0x11a5eac2,
+    0xd3b53629, 0x94125611, 0xa191d69b, 0x3e763619, 0xc0a9e904, 0x69828184, 0x8b3f502b, 0xb163f38e,
+    0x48fb55a2, 0xd76e069b, 0x2a73e89f, 0xa8fab9dd, 0x540decd5, 0x0936675e, 0x85ac72f6, 0x32b9a3ad,
+    0x9ccbdbcf, 0x95aa2dec, 0x9fd7c54e, 0x02b85a5f, 0xc0190cf2, 0x67b258f0, 0x7aef5931, 0xf3f18f16,
+    0x3a2c6f0e, 0x7fc259a3, 0xd3d8c508, 0xd7160ab1, 0xbbf73978, 0x8d0eaf02, 0xdd138cde, 0xccea1d6e,
+    0x9a613f24, 0x88a52ab9, 0xb7d108a1, 0x6b007213, 0x4b6c5441, 0x348de895, 0x46b5d690, 0xe4d11de7,
+    0x02ae5265, 0x52699542, 0x946c6934, 0x7f94905d, 0x4502780a, 0x4f2f914f, 0x8b96eaf6, 0x6fc734f7,
+    0xd77c0eb8, 0x253ceb29, 0xb0b2a30c, 0xd9c7d651, 0xd7d1e412, 0x347f9cdd, 0x5906b737, 0x45e4fd87,
+    0x06bc9357, 0xca856210, 0x7ff5e9a9, 0x0729c395, 0xd5efa1eb, 0x781bee0e, 0xd8c99776, 0x6c0b5851,
+    0xb6960fed, 0x6c8f3f9f, 0xfa081110, 0x809e31a8, 0xc2d5a9cc, 0xd7c8a165, 0x5e8c0f8e, 0x660e0dcc,
+    0x3a1e03bd, 0x567ab764, 0xb5a7693c, 0xa0ca67d8, 0x9188b623, 0x81e4e6ed, 0x4140ca68, 0xdaf9d8fd,
+    0xab9936ce, 0x6b63e399, 0x25d6329f, 0x88bcff3a, 0xa1ec34fd, 0xae1782a9, 0xade5de0f, 0x227e528c,
+    0x5ac826a9, 0x4b934010, 0x0a207b70, 0x31a334f8, 0xbad9a782, 0x31dd0fa1, 0x150fef3d, 0xdc040993,
+    0xd1145ecf, 0x67551fb2, 0x03d4184b, 0xa0ea027e, 0x42589144, 0xfb0e4258, 0x68ed1023, 0xe752e576,
+    0x55dd8314, 0x63833b7e, 0x619d4ae8, 0x56c88c30, 0xdc1cc294, 0xab9fb5dc, 0xe16bc563, 0xa8a56913,
+    0xdc752794, 0x19b5f069, 0x8a597e2d, 0xf4a8d957, 0x254b65cf, 0xe59f3324, 0xc7405a31, 0xdb86c9f8,
+    0x6a711e4d, 0x18496d25, 0x60413b7f, 0x45f9e92d, 0xf162f35e, 0x2bca9847, 0x3bf51a52, 0x0d9b580b,
+    0xc10b4fa6, 0xe1597146, 0x34fc789f, 0x553a4674, 0x83e139c3, 0x464ae690, 0x8aa348b9, 0xb5940263,
+    0xc10e2b82, 0xfa9bc103, 0x657e23cc, 0x0b01ed27, 0xa8b85d33, 0x8d12c943, 0x6deb4be5, 0x716acd81,
+    0x888c380f, 0xc217bdbc, 0x708afc4a, 0xc403da72, 0xcb31a799, 0x283283ed, 0x5ad2f641, 0x412d80e1,
+    0xa86b1c1f, 0xb3c12352, 0xc61aedf0, 0xe895ab97, 0x4a4a0cdb, 0xcd826cbb, 0x4df6e564, 0x89a04041,
+    0xd7bf13c5, 0x76ce0400, 0xe4cccdb6, 0xf025a53b, 0xf8c08521, 0x7becdad6, 0xa2bb75ec, 0x6e7618d5,
+    0x9b84a929, 0x010ca4d1, 0x0e81e1ec, 0x900b8c15, 0xb19ca434, 0xb192fc4c, 0x2a90b047, 0x9f581076,
+    0x23016f2b, 0x7406bb5a, 0x3f5d7723, 0x16a95c3a, 0xcf357d96, 0xf941b9d7, 0x15c34697, 0x46e70b10,
+    0xe2581441, 0x3d3d9723, 0x1260d060, 0xfd89a245, 0xb2848af7, 0xd0291d25, 0x87f4c308, 0xc317dcd5,
+    0x5a16c219, 0x1978668e, 0x4adc8e7d, 0x44adaafe, 0xfff4dc89, 0x6195c96d, 0x65a87417, 0x30559340,
+    0x5d2c2520, 0x3d5f41d2, 0xa7199922, 0x8bc656ff, 0xd24cc8b6, 0xbb27da71, 0x127957df, 0xd33b69a9,
+    0x05bba81b, 0xe5f20ac5, 0x5354bf76, 0x0df81ca9, 0x0e291e24, 0x0dbe669d, 0xe27d178c, 0x37f1eecb,
+    0x26ad3733, 0x781a3c55, 0xfc2f17e4, 0x31e34ef3, 0x5505631c, 0x7ffae50b, 0x56f81b4d, 0x3b4a0aea,
+    0x278badf9, 0xfad5c456, 0x20c58171, 0x18e2910c, 0xfd78c80c, 0xd676c337, 0xf660b0a4, 0x9e8c1810,
+    0x21e14176, 0xfbee79c4, 0x731c99d0, 0x54ffe535, 0x99aa92c0, 0x310f44a9, 0x0b0710ac, 0xa3f79d10,
+    0x173d1a12, 0xa4864a4f, 0xbdd48259, 0x175555b3, 0x6400860c, 0xb207cdc7, 0x1b15ae0a, 0x84a04c84,
+    0x87809f94, 0x4958a09e, 0xb094431b, 0x5eb61693, 0x64a4960c, 0x86df1606, 0xaed937bf, 0xba58560e,
+    0x3a90056c, 0xfb20a067, 0x2eedf180, 0x7a06166a, 0xb1a61765, 0xea880447, 0x8cbbe509, 0x88a4d773,
+    0x8904d138, 0xfc36542f, 0x9d17a2af, 0xb9bd9fc0, 0x29bcf6f9, 0x3ea4584e, 0x24009523, 0x5fe746a9,
+    0xb4d1e1ec, 0xd901df0e, 0x04cbd0c9, 0xb0edc141, 0xce03ac85, 0xe718e5ce, 0xac1f0e7e, 0x8263dd2d,
+    0x3b03aefc, 0x7be58933, 0x40562844, 0x393689b9, 0xea21c278, 0xc389cbd2, 0xe7bae490, 0x3414886f,
+    0x2cd29f75, 0xb1475d56, 0x8448305e, 0xeba80067, 0xeee42c13, 0x33589d23, 0x85b33d0f, 0xbb3ba5a0,
+    0x00000000 }, /* 10**00000000000000000000000000027076852481648582613070451017022301791371455814216\
+                         95874189921465443966120903931272499975005961073806735733604454495675614232576 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6,
+    0xf675a9d2, 0x36d59010, 0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e747, 0xc497d56c, 0x75a17ac2, 0x86bdc8ff,
+    0x00000000,
+    0xcc527d43, 0xa7367fb0, 0xca16ac86, 0xb4b19185, 0xbafab698, 0xe57503c7, 0xac145327, 0x6314398b,
+    0x104dfd36, 0xf8ed8802, 0xc819751d, 0xd33f3ae8, 0x60d65aa5, 0xa769ecde, 0x66246e01, 0xc4d3c06d,
+    0xc4637203, 0x0ed81bd2, 0x51fd1df3, 0xe3a99bce, 0xaffe9ffb, 0xa2ff3276, 0x3bc50f3c, 0xcc1d5421,
+    0xf2aefff2, 0xca48366a, 0x8d7bf9d8, 0x5809f9c2, 0xdb86ac9e, 0xa95ae583, 0x62788824, 0xd2233dfd,
+    0x7a78de2c, 0xea5595f2, 0x29cf4aee, 0x4f26ed8f, 0xba7bb6a4, 0x5bb5a003, 0x2b0ab6c8, 0x57d3b433,
+    0x3e0841e6, 0x579e3c41, 0x0b7343f0, 0x062caf30, 0x522828e4, 0xd735afeb, 0x02dcc649, 0xb1a7aeb9,
+    0x0aaf23e3, 0xf4900f9a, 0xca70b0e8, 0x6c084368, 0xba9161f4, 0x37777754, 0x1c5a2e4b, 0x5d7a32ea,
+    0x3adef7d1, 0x0dd68f86, 0x8085af87, 0xb2cf1f66, 0x8d64c708, 0x1f5b03d4, 0xe495b0f7, 0x49853733,
+    0x9274eb8d, 0x71b31609, 0x75ab521b, 0x60f2c6e8, 0x525cb640, 0x35a8d1d9, 0x4e59c386, 0x238bac46,
+    0xcfc683ba, 0x2fd48b27, 0xce659fe3, 0xa878bffd, 0x1de2586a, 0x8ca4fbf1, 0x86210e06, 0xe0814c62,
+    0xee3a4730, 0x42e12376, 0xf18928f7, 0x7e1b0e78, 0x8b67b9ae, 0xcda453c3, 0x923786eb, 0xc84175f1,
+    0x2dead6c4, 0xb7bd7622, 0x138c61f7, 0xfd1503fc, 0x56089bb8, 0xd5cadbdf, 0xad083eb2, 0x9030322f,
+    0x24e85eb2, 0x537fbb1f, 0x34b2632b, 0xf2a02d62, 0x87d3cdc9, 0xbe6f2b43, 0x081f666b, 0x2009eeca,
+    0xcf5b08b8, 0xa31c93ca, 0x14396ae0, 0x96ad1dc3, 0x42b78224, 0x96bc4f93, 0x54f66b4b, 0x9242ea8b,
+    0xee9bac65, 0x2b7e6102, 0xdfe1ff6e, 0x70ae8344, 0x7b6d41c5, 0xc03c01fd, 0xd55e3b38, 0xeb09c231,
+    0x50d55961, 0x08287c9c, 0xe90b5d29, 0x6d94f4c2, 0x438b9585, 0x0466e83e, 0xf0dd086b, 0x8bf04adf,
+    0x47782e98, 0xa22c640e, 0xe36e2638, 0xc65573f9, 0x97b3318a, 0x5ff2371c, 0xe2298bf2, 0xbdef5844,
+    0x337df887, 0x4a223d89, 0x47eafcf0, 0xa070fea5, 0x2adab18a, 0x1ddb1534, 0x5a97651d, 0x1ce9c45e,
+    0x85ff77a4, 0xb22e3606, 0x7e79d9e1, 0x75979c80, 0x7e7bf0ed, 0xd5ef6ade, 0xa3b149e6, 0x9c0a6642,
+    0xffac9391, 0x9e2fb2e0, 0x7ab43b9c, 0x678beed9, 0x03f159d3, 0xa3bd04fb, 0xd27a72c1, 0x1cc14d1b,
+    0x64f72650, 0xd8d27f52, 0xdb63ad51, 0x8c65892e, 0xaf206b79, 0xefdbe6f7, 0x0c81c578, 0xc239ccee,
+    0x64d6d884, 0x4b594cb2, 0x7579d1a6, 0x77dfdd21, 0xb5cd5321, 0xef1b3dcf, 0xf5d325e6, 0xf84513f2,
+    0xedd30624, 0xac428fae, 0xff8d3564, 0x2272c456, 0x8337b117, 0xd2085f59, 0x28ba2987, 0x1af1b91d,
+    0x50288f6f, 0x8e53b020, 0x058a9a5a, 0x19d4bcfd, 0x4e8a1a7d, 0xdeb93f10, 0xcfee5a92, 0x7fab6704,
+    0xf5a031fb, 0x2462f43f, 0xb09550b8, 0x3e30cc6d, 0xab6449df, 0xf6307fda, 0xddb25b40, 0x3bfa149b,
+    0x584703c7, 0xe0f3426b, 0xb85d70aa, 0x259da350, 0x5fbc2320, 0xae25d4a0, 0x25d4b11e, 0xf03e074e,
+    0x72700b95, 0xdd173324, 0x286733c6, 0x94cbf210, 0xf80f4918, 0x6a4d735b, 0x1378ed25, 0x71c7d532,
+    0x8ee7c3ff, 0xbaa6029e, 0x1e05e99f, 0x5294f841, 0xa2f8b427, 0x957c1ec6, 0xc4d4e1ab, 0xd0dd69c3,
+    0x620ff80c, 0x37389b3c, 0xc54d7dcd, 0x2857317c, 0x89ba0af5, 0x298f2d31, 0x73c134c8, 0xded43833,
+    0xe5c71c67, 0x93f6b0fa, 0xdbbf927c, 0x20aaf26a, 0x8d746202, 0xc3515cf8, 0x3921b018, 0xa6fc4907,
+    0x719e5d37, 0x5c2f24c4, 0xf5ba359f, 0xad72dd87, 0xee9d30b7, 0xe2fb6bbf, 0xfc507185, 0x1a1464dc,
+    0xfc62381f, 0xf49b5991, 0x43289ee3, 0x04fdd5bf, 0x3c104ee9, 0x99ac9c38, 0xaedf2e1c, 0x600bde73,
+    0x69f439b6, 0x0e2481b1, 0xeed69727, 0x1748c316, 0xc4f825c0, 0xc8ddeb59, 0xbb49613f, 0xb91ae64c,
+    0x7b30c246, 0x3a3b64dc, 0x25df3e9c, 0x1686c2ff, 0x2271e237, 0x89c2003c, 0xd0fc0065, 0x5648cd94,
+    0xb41d2250, 0x963576a6, 0xc83aba60, 0x0341cf8e, 0xb52baa2a, 0x4fd63be7, 0x7be4b602, 0xfe256ef1,
+    0xdc52b1cc, 0x237dff04, 0x34833108, 0xcc9c5d2a, 0x12b7ed7a, 0x47521614, 0x5b5af782, 0x1ed16a68,
+    0x8c319cba, 0x0298086f, 0x96682fb0, 0x0bff9ed6, 0xea70c932, 0x2d18dacb, 0xb47518b1, 0x1f08fc76,
+    0x4d6145da, 0x5930498f, 0xf086e1bc, 0x5d8e9f76, 0xff2c89ad, 0xa3b8c309, 0xeab277b6, 0x9723644c,
+    0x99adf45d, 0x6386d287, 0xd68cf0d0, 0x26423f68, 0x5024ed42, 0x8d2136f7, 0xf92c9c0c, 0x3aaacc91,
+    0x3a1c37cf, 0xe21004cb, 0x234f53ff, 0xa7555d51, 0xb46efef6, 0x20dfc912, 0xa3e0e5f4, 0x26bc8e9e,
+    0x24afac40, 0x1388491f, 0x53e9362c, 0x9a6222fe, 0xfcd128f2, 0x893b8d8d, 0x81b02992, 0x0393033a,
+    0x2e68e7ef, 0x49a8a737, 0xa68dc8ef, 0xd0312982, 0xa655305a, 0xfabbec1c, 0xd8917f90, 0x0b65a704,
+    0x77fddffb, 0xa58985b8, 0x84c5d342, 0xe4da46ea, 0x9f4879f4, 0x158fce4e, 0xbe2f68b4, 0x84b357be,
+    0x9e885c28, 0x296eb09d, 0x51be56dc, 0xf52866b2, 0x1eb0d4a1, 0x98d2e55d, 0x9567c1f4, 0xd696394b,
+    0xccea7c69, 0xd81fb3f2, 0xdf1592a6, 0x6fd6f91b, 0x1a7dc138, 0x374d35bb, 0x42bee6b4, 0x083a55a5,
+    0xbfbc53b6, 0xce8cdbce, 0x9a064baa, 0xb1107a47, 0xc4eedec0, 0x550e89e4, 0x9a20509b, 0x1669b75b,
+    0xd7855c2c, 0x00f5a88a, 0x55955fb4, 0x59ca9c22, 0x289d8849, 0x1cb0f77e, 0xe04f85e5, 0x816bbddc,
+    0xca342d0c, 0x7f80dd44, 0x500b53f9, 0x4554cf03, 0x181ab886, 0x008bc5ba, 0x70a304b8, 0x6e33cb47,
+    0x95bebe6f, 0xf5355b1b, 0x78677f41, 0x5ea754cd, 0x4ad8aa2a, 0x836e3a36, 0x8e611e2c, 0xb5a7e020,
+    0xb1374b11, 0x350e126f, 0xa3eb41ee, 0xeef002f5, 0x263cc42a, 0xb3583962, 0xbad58894, 0x137c30ec,
+    0x8452ed4b, 0xf97b7bf3, 0x339f42ec, 0x122c80af, 0x3218f330, 0x9c51ad22, 0x3f43da3f, 0x35ae8517,
+    0x977c9d6b, 0x3fb3b158, 0x58e25cca, 0xddf7edb5, 0x1f308083, 0x4239872e, 0x7fa85393, 0x861ea0f8,
+    0xeba69bc3, 0xab90379b, 0x6b2fd053, 0x550fe5ce, 0x16e9770f, 0x40f8bced, 0x499d86cf, 0xd2bd81bf,
+    0xbdef687d, 0x9ece2696, 0x051fb7d1, 0x9e4980ec, 0xe39451c1, 0xa6b02750, 0xd57b12ba, 0xdc2091e4,
+    0x31de6ca6, 0xfe85be2f, 0x3c9f540d, 0x434ad94b, 0x0e54d3c0, 0x9f16d76c, 0x1e30c26a, 0xdc393289,
+    0x64dcaeac, 0x3172e697, 0x5e525dfe, 0x9c7df932, 0x8f4458b9, 0x7b1b2e8c, 0x987d097d, 0x27e8ecd0,
+    0x5b8aa0f3, 0x3e535df4, 0xa6560095, 0xd0354f22, 0x5a826a83, 0x8fd52727, 0xeb22944c, 0xc094a51a,
+    0xfe8734e5, 0x36826cb0, 0x28c0e550, 0x6aeb7912, 0x51bbcbcb, 0x64c02fab, 0xe0797470, 0x5a71b884,
+    0x47fabf88, 0xc77ba98c, 0xfe4b281f, 0xa1d42550, 0x28001932, 0xcaf89c47, 0x85a8372d, 0x0f86a0f0,
+    0x2fbc86b6, 0xb67b31d9, 0x038b9841, 0x7d411a99, 0xb362beaa, 0x2205def0, 0x7f75353e, 0x2174cba4,
+    0x9d088673, 0xbbae37fb, 0x9c9eada5, 0x041bc290, 0xb09f1586, 0x8e55e26e, 0xb76200fc, 0x9555377d,
+    0x2b681757, 0xcf9ceea7, 0x23ca2251, 0x20ff903f, 0xef2b81ae, 0x9dedd343, 0x0cb38a60, 0xa8791dcd,
+    0x18070430, 0x4f9ae213, 0x7aa7b666, 0x817adaf7, 0xd01ca9ec, 0x360b14ac, 0xbf623772, 0xfe20d86d,
+    0xae2ee363, 0xaad1e27e, 0xa24de420, 0xabd8c037, 0xddb753af, 0x44fce24c, 0xc0722bae, 0xa911a172,
+    0x3bb9a7de, 0xe51df99f, 0xe93e48f6, 0x7fc684ff, 0x75dec3ec, 0x6afe7886, 0xd129cc20, 0x4f1fd22d,
+    0x37239c79, 0xb6de820b, 0x0fed9808, 0x6c14bf94, 0xab3984aa, 0x09441b50, 0x20a5cbb1, 0xd74b6051,
+    0xc4fae871, 0x88221177, 0xa865b22d, 0x9984393e, 0xb868fb44, 0x50fbf1bb, 0x40a77051, 0x014a7bc7,
+    0x076d8c81, 0x3dbc61fa, 0xa5d8316d, 0x62e511fc, 0x9ab96365, 0x8746b001, 0x1b04aafc, 0xa7067770,
+    0xb64003c9, 0x2ebe7230, 0xa2f80686, 0x9ce42826, 0xaecfd84b, 0x823ae397, 0xd3090b61, 0x341dfc01,
+    0x6ceca6de, 0xb247639b, 0x3546490c, 0xd022e807, 0x8c5faf54, 0x27797a17, 0xd9db0428, 0x7452a71a,
+    0x8c8d8342, 0xdc46a180, 0x30b6b733, 0xac6a50bb, 0xb398a3e0, 0xb628db85, 0xd43f33da, 0xc7a47dae,
+    0xa3dccd05, 0x8634e1f2, 0x6feb6575, 0x56f390d3, 0xdc1a7f80, 0x58be1ac2, 0x7855dadf, 0x53a3ccd0,
+    0x4b1bcd42, 0xe045a48e, 0xeb1883da, 0x2b52b7ae, 0x379e796f, 0xee654931, 0x691c8b22, 0x831a4778,
+    0x015219c3, 0x4c2b0848, 0x9f6dc1a0, 0x905f3923, 0x8a866928, 0xb179b7b4, 0x0d145f9b, 0x458c972f,
+    0xaa2d22d9, 0x68e200aa, 0xef58f664, 0xb82ddfa0, 0x5872144a, 0xf9aecb1f, 0xbe092563, 0xfe918a81,
+    0xf5ce6fbb, 0xd43ffac3, 0xe8554ff3, 0x8cc16bf2, 0x57a15114, 0x84b515b5, 0xf8fda4a1, 0x060ebd99,
+    0xe6bd2a4c, 0xdeb5927b, 0xa2bc2bbb, 0x2d5f934c, 0x1dabd6ff, 0xd3fb53ef, 0xe3e2e116, 0xb1c932d7,
+    0xc9666b91, 0x3209dbc8, 0x3680bd4f, 0xfd55ff19, 0x45ee0aa4, 0x2168f1bf, 0x6b9cebbd, 0x2f857ca7,
+    0x2e722dfd, 0x1a2b55a9, 0xb19c2ed9, 0xf4114049, 0xea18bdef, 0xe4f99423, 0xadc83f5d, 0xeb0145f3,
+    0x9208cab1, 0x9711f4b4, 0xf1bc8371, 0x1d692f82, 0xeb0e87e4, 0x1c7e75f5, 0x26b06a70, 0xf1c493b3,
+    0x227528de, 0x28bbc52b, 0xfff72391, 0xf43612bf, 0x7118057b, 0x332e53c6, 0x31169c0a, 0xfcb5c12b,
+    0x8324aa5c, 0xc4523d36, 0x774cb7fe, 0x211b0300, 0x48ac268f, 0x43eda038, 0x647974d2, 0xa514b02a,
+    0x64bc1035, 0x283f826b, 0xf951bd36, 0x32126fee, 0x8efd3757, 0x27321a4d, 0x286651c1, 0x5b44d36c,
+    0x5df00cd7, 0x5d40a4fd, 0x462f7c72, 0x6a4cae06, 0x9c80182b, 0x78a1d9ff, 0x149c56a7, 0xbd1e2534,
+    0x95294bef, 0xff55fae2, 0x8510fa49, 0x49583d65, 0x6986116d, 0x5dba3cd4, 0xd4ce8e1a, 0x2d175355,
+    0xef01f014, 0xaaeba4ec, 0xac83b8c9, 0xfa5eb12a, 0xa7bf7401, 0xc1c68e6e, 0xadf8da67, 0xca682688,
+    0x1a8f33f3, 0x02c7ff35, 0x4e9fde91, 0x748e198b, 0x3b635c68, 0xec854680, 0x48034dda, 0xabe3eb15,
+    0x7e2e32c3, 0xccf27c05, 0xde4cc85f, 0xeb286b8c, 0x1f7d1028, 0x859c2e54, 0xb1533379, 0xf19597c8,
+    0xa1f0e252, 0x1324ab2f, 0x761a95e7, 0xb20c88d8, 0x978ce598, 0x5e4555ed, 0xbbe3560e, 0x0a039997,
+    0x33e384fc, 0x8ccf4400, 0x5fcfa2f8, 0xfef7e31b, 0x3d806b86, 0x1fc684e9, 0x186d74ac, 0x994e809c,
+    0x9b70a022, 0x0949da18, 0x022dc67f, 0x047d8485, 0x12146f62, 0xbf63b57b, 0x2d67ca9e, 0x74f48f6c,
+    0x750ff23b, 0xf08ee3ae, 0x4a8ef24d, 0xe6db37e5, 0x433baca4, 0x2661b5a6, 0x31bf34a9, 0x51fd2445,
+    0xfc43c4d8, 0x9dfe4b44, 0xdba9a0b3, 0xb6408e50, 0xdb66d896, 0xa41a1ae2, 0xecb2ef12, 0x4084cdc1,
+    0x2a5e683b, 0xec0561ea, 0xd10cd41b, 0xb6e9c01d, 0x6d5e98dd, 0x3ec3dd35, 0xfe7bd410, 0x9df188f8,
+    0x9564ec90, 0x686dd777, 0x22a7138f, 0x80f6f409, 0x2f400aa4, 0xbc542381, 0x48b8856f, 0xccc824c2,
+    0x7aa70bf9, 0x346c9eee, 0x3949699f, 0x6fbd7413, 0x4c087baf, 0x45a1268f, 0x724dbbc4, 0xe5f345fd,
+    0xe1194932, 0x2ebd6fc3, 0x2268ebb7, 0xc5e8a288, 0x9adf03d2, 0x501a7fb9, 0x6fad6fb4, 0x47a4ecbb,
+    0xd49c722c, 0xf9d91357, 0x7d4b2a2a, 0xd00064d5, 0xb218265b, 0xb8f571ac, 0x544a12c7, 0x5a5b4433,
+    0xc988b117, 0x6f327384, 0x094e4aff, 0xea9aaa25, 0x3651491f, 0xcf232edd, 0xc74c9aed, 0xce9ddfa9,
+    0x45a945e3, 0xbfa2ce2c, 0xfc79d808, 0x41c992bd, 0x6ff19cf4, 0xaeef342a, 0xf4d20d9d, 0x25f9e16c,
+    0xbdf04662, 0x60370ca6, 0xdc6776c0, 0x016387fe, 0xb6c0fa1a, 0x0caa8dba, 0xe813d314, 0x4b033686,
+    0xd6456523, 0x81dd40f9, 0xb99c1ebd, 0x4bb6bceb, 0x1f37314f, 0x5c1f4a55, 0xe50f302f, 0xa8eb0f97,
+    0xec3ff33b, 0x317e0315, 0x4e3bbc97, 0x40c53e4b, 0x39937d3b, 0xe633dcca, 0x2e157173, 0x7ad040ae,
+    0xdeacdf82, 0x298e4a32, 0x81822e18, 0x9bafb15f, 0x888c2260, 0x9373fd6c, 0x4c35f38e, 0xc8aaf737,
+    0x4ba4fac1, 0x7389f447, 0xfe452fa0, 0xdb6ccb9d, 0x125a8f40, 0x7658bc51, 0x68257f21, 0xd9f65b4e,
+    0x3eef13a9, 0x8faee469, 0xe5d91638, 0xa799372e, 0xb30e6971, 0xa94592b1, 0x9fe4645c, 0x4a0e2656,
+    0xe5378a37, 0x5365a095, 0xca5bcd59, 0x9dbe7c89, 0x00533256, 0x228504f4, 0xf45b3e51, 0x7249aa67,
+    0xa659abf2, 0x8a2f5a26, 0x57727cf0, 0x7dd5ff53, 0x38d0dd78, 0xd2ca3a2b, 0x53ce8c7f, 0x14e2adb0,
+    0x97925821, 0x1be8084c, 0x7371ed32, 0x663810e8, 0x08b71fe1, 0x969bf53c, 0xb2e6857c, 0x789b4eca,
+    0x18d1ac3e, 0x78bc2496, 0x861dde91, 0x10aa4d25, 0x78b3cb1b, 0x8aa282cb, 0x05172d39, 0x79b38272,
+    0x3e97dbd9, 0xb25ec871, 0xfa6751f3, 0xe0011f37, 0xfbc99d7c, 0x8526b9c1, 0xd32dde21, 0x6a049db7,
+    0x9f196796, 0x45525ba8, 0x3f284611, 0x472f3a53, 0x1cfdb604, 0x0d478f5f, 0x5a2ebe44, 0xab5e8177,
+    0xc8d46776, 0x839dc39a, 0xf73bec52, 0x6eb28175, 0x6bc1f56a, 0x658dad91, 0xc0e65de3, 0xd1b8ba4a,
+    0x00510af5, 0x551dd56f, 0x445a3027, 0x54383d3f, 0x2c2b3b30, 0xc5985964, 0x4cf09f7e, 0x4635d3bd,
+    0x31eed623, 0x73a0ecd5, 0x8d4349b7, 0x2ad1e595, 0xf09e0b4a, 0x35f7661a, 0x6b2d9b2d, 0xa062c602,
+    0xf68a0d87, 0x763b48c6, 0xa2b8886b, 0x71dc01fb, 0xaa8e971a, 0xd9d87a1b, 0x68530312, 0x7a62dbcb,
+    0x813c97bb, 0x75e4cfdf, 0xfe290d03, 0xf3adf6e9, 0x45c47fd5, 0x58d9c7c9, 0x97d7396c, 0xf36b324e,
+    0x42665bbb, 0xda85ed48, 0x84bce7df, 0x9b1f0d02, 0x81dc90a6, 0x59db079e, 0x6eee1302, 0xa7891aed,
+    0xa3b83626, 0xf0c2ded5, 0xd23bb9e9, 0x285f9f8f, 0x0281e285, 0x4318308b, 0x3eddde27, 0x17bd0687,
+    0x2ae0ddf4, 0xab9b319a, 0x6198d588, 0xba7d4d28, 0x3bc09f6f, 0x47fb9c36, 0x742bdbfa, 0x13a4eaee,
+    0xecdadaef, 0xb2f7d757, 0x204a5bd5, 0xbf95ff07, 0x033a6abe, 0x1b3b08a7, 0x41ffaafb, 0xe0a7b2bc,
+    0xd68bf960, 0x615d9d4a, 0xc144cfb0, 0x3da311c2, 0x8e69b828, 0xdbd513a5, 0x1d5e8d4c, 0x43f70d85,
+    0xcee8bb22, 0xb5f797d9, 0xeed1bee0, 0x44ad1353, 0x633b15ee, 0x54adbde2, 0x6761c3b9, 0x19fcdbe5,
+    0x3d8d9017, 0x0639cb03, 0xe9a15fbc, 0x91569c60, 0x89c508c4, 0x1501e37e, 0x78b79097, 0x98785695,
+    0x7f0bc09e, 0x2dd281db, 0x9107ce1f, 0x39b304a3, 0x5cd2759d, 0x69df7986, 0xfc05a671, 0x88445733,
+    0xb2b5c425, 0x890a2548, 0x526d9fcf, 0x9f40fc0c, 0x137f1a94, 0xda497eaa, 0x8e868872, 0x36c2100e,
+    0x00000000 }, /* 10**00000000000000000000000000013538426240824291306535225508511150895685727907108\
+                         47937094960732721983060451965636249987502980536903367866802227247837807116288 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3,
+    0x7b3ad4e9, 0x1b6ac808, 0x2e7859d0, 0x6650fde9, 0xdd51f3a3, 0xe24beab6, 0x3ad0bd61, 0x435ee47f,
+    0x00000000,
+    0xa1b83adf, 0x84945edf, 0x09c4da34, 0x2cd66850, 0x43b61d64, 0x5c4432f8, 0xcd3a9aaf, 0xb2e88e70,
+    0xd03602b7, 0x173c40f1, 0x8d06a1ad, 0x69179efb, 0x21abf7ca, 0x7b7b0f60, 0x63df602d, 0x57f4a953,
+    0x148b9730, 0x403479ef, 0x3a698d2b, 0x3acbf552, 0x1e8d4126, 0x9bbe2c3e, 0x83df8837, 0x9ece50f7,
+    0x5a58b276, 0x84fd9bf3, 0xb4e0c243, 0x9bdb18f5, 0xa501a3cf, 0x098e11a1, 0xbcb0abfa, 0x5458d108,
+    0x54020ae8, 0xd7a25f71, 0x46649b89, 0x4a6cbba3, 0xd5121205, 0xb3d2bd36, 0x4aae04c9, 0x4c3291a7,
+    0xe294d6dc, 0x2e4fcead, 0xbb281922, 0x68e0e5ba, 0xa4ba4d1e, 0x28a01bbd, 0x983a1293, 0x54020816,
+    0x91761309, 0xf1bd2ffc, 0x247c13d1, 0xd7c21d68, 0x1d79c6bc, 0x0209938a, 0x022a84ce, 0x20f80d45,
+    0x6c0447b0, 0xaabfb84f, 0x89186b50, 0x4a78877f, 0x5cb7b3c2, 0x8b988f36, 0x6be4ad50, 0x514e247a,
+    0x82aa76bd, 0x39a6f682, 0x06c997ce, 0xacf96cd8, 0x2f3aa3d5, 0x038a091b, 0x927eec86, 0xe64edcfc,
+    0xc6d69d34, 0x01357a08, 0xa9cf855a, 0xea6883c1, 0x555b9aec, 0x4ae4cc6d, 0xf75c0725, 0x3c0de8df,
+    0x7941bfcf, 0x9b0cdb45, 0x3b59e059, 0x68461351, 0x62b31c2f, 0x0e6b6c58, 0x918393b4, 0x18f3a566,
+    0xc8925ea7, 0x65f479c9, 0x2f9bc69d, 0x3f3f4506, 0xb4097cea, 0x05e1c51e, 0x479ca83d, 0x9a01fd5c,
+    0x97c05352, 0x186723e6, 0x8bfb91bb, 0x6cb96602, 0x16d9b95b, 0x05a86f81, 0xe42fe10e, 0xaa6b7a12,
+    0x86953c35, 0x604c31d7, 0x28aa9056, 0x5a17a16f, 0x7f4e07f0, 0xeedffdc6, 0xfa51363a, 0x2ca5a7ff,
+    0xed521162, 0xd2f67e45, 0xb84cc490, 0x0deea52f, 0x4514d34e, 0xf7abdfa8, 0x3ae4683f, 0xd2980260,
+    0x87662042, 0xec740356, 0x475e1488, 0xf4b2f60d, 0xd4c8bd04, 0x3803b19b, 0xff4b66c6, 0xa3256df9,
+    0xcb12bc39, 0x0dfa0e9c, 0x443c9a9a, 0x64ec4d6f, 0x08a9c296, 0x0c8c708f, 0x577e0550, 0x3d0d48b2,
+    0x279e6914, 0x88ee76e9, 0x5e0642d0, 0x8f944f7f, 0xdc344c54, 0xc35d7720, 0x638d5100, 0xf5bbc4d8,
+    0x4ce7575b, 0x61f294a1, 0x7f095f9c, 0x34cec4a0, 0x5f192aff, 0x2ef429a2, 0x8ee958d2, 0x092a3a9c,
+    0x60da11ee, 0x400fb639, 0x3d8ff2e0, 0x3e6e090c, 0xb725158b, 0x842b14c5, 0x91ad58ca, 0x51f62404,
+    0x2b0837f6, 0x019e5665, 0x1cb3fa03, 0x981a6fde, 0x5a0da620, 0xa6eaf9ef, 0x168e23fb, 0x37c552cd,
+    0xab1979d7, 0xede19bba, 0x2f3b083c, 0x29bf16b2, 0xac340baa, 0xcfe32d87, 0xc986e4aa, 0xb13c5d9f,
+    0xaa13a7f2, 0xacf44814, 0x6bb7826f, 0x22c71e79, 0x091726b5, 0xb969a070, 0x32df835c, 0xf997f850,
+    0x55fb7398, 0x57962f72, 0xe6edffc7, 0xe9cf6c29, 0xd217e8fb, 0xb250e2d7, 0x1edcc64c, 0xc01f16b2,
+    0x66728b68, 0x51ec4a70, 0x707f05db, 0xb1ec3ee9, 0x60a52a7b, 0x14c9a680, 0xabf7dd91, 0xf5e9fe30,
+    0x1e1e053c, 0x21414f7e, 0x4310d296, 0x0df9aabe, 0x980e90c2, 0xf3274528, 0xa4088e98, 0xd61369cd,
+    0x7ddc7517, 0x0c7c267f, 0xe85368de, 0xae3cba2b, 0x8f970581, 0xc96d0b35, 0x288ad38e, 0x1290a0e4,
+    0xb804d9af, 0x8b8bec77, 0x6931e8fa, 0x0f7e3ca7, 0x5c91c633, 0xcc3ab4af, 0xc347f946, 0x7e8b8f10,
+    0x0af228e1, 0x79cc5d09, 0x231e197a, 0x6dfd7e1a, 0x18f6386d, 0x2f138d68, 0xbb20cb08, 0xac06383c,
+    0x3a3065ac, 0xa19f5509, 0x189b36bd, 0xcfecc2a6, 0x86b7544f, 0x285f9078, 0xa45c4889, 0x0c72cb26,
+    0x450e8603, 0x00c9a1d2, 0x8bd562e9, 0x65d7f38a, 0x71aaddff, 0x716cb2d8, 0xbb9893db, 0xe119451b,
+    0xad609e21, 0x248f172d, 0x99ee6382, 0x68f2f18b, 0x8285d2d2, 0x34761308, 0xf3657cf2, 0x7f08ade4,
+    0x4ecb07c7, 0x9eca55be, 0xf1ff3d61, 0x2dbb097f, 0x88afc342, 0x73dea7d7, 0x0fd5befe, 0xb855a939,
+    0xe56e6901, 0xa83716c2, 0x1c2f2da9, 0xcc9d2e37, 0x55be2250, 0x83854b63, 0xd2f05d99, 0x10b63e05,
+    0x7a358b0f, 0xd3ea9ef7, 0xe7722631, 0x32864cdc, 0xee678c25, 0x629a1a2f, 0x40fd2c1a, 0x3537e340,
+    0x37ae8380, 0x6e292916, 0x86bbe66e, 0xd3e3aef7, 0xc63b8e21, 0xfa192281, 0x52b6058a, 0xb78f621e,
+    0x331738ae, 0xadff7673, 0xb0cf141c, 0x839de7d9, 0xca47fe3f, 0x010704b1, 0x4c78af12, 0xfcd6b96b,
+    0x0fc340a5, 0x349a023b, 0x26e315ff, 0x2493ada9, 0x852497cf, 0xdc1ad0a9, 0x0435ff8f, 0x394338d1,
+    0x1d4df574, 0xd377a16b, 0x3a5a98af, 0xa073b7ca, 0x336c3091, 0xf084c6d5, 0x5bd9b35a, 0x0b12993e,
+    0xbdfa4096, 0x5378a74b, 0x33eba4fb, 0x97385d99, 0x85a6b352, 0x170211c6, 0x5382d5dd, 0xf6b225ce,
+    0x6d0deb44, 0x1c0ad70c, 0xae017f1d, 0xf38771dd, 0x93cb9be1, 0x5d28261f, 0x6904f257, 0x9fe8f091,
+    0x1f7bca84, 0x92b421f2, 0xc167c6a0, 0x026508a0, 0x0926a3b6, 0xe2b6c3d6, 0x0e6dca5c, 0x3f2e7be6,
+    0x05c57ec9, 0x1d09d119, 0x3f294997, 0x33bbfbc4, 0x3a1ed8d8, 0x48ab9882, 0x5ba99524, 0x50b0246f,
+    0x00d11cce, 0xc2e56fc4, 0x8f710730, 0xecdbb808, 0x50283378, 0x584e2c99, 0xbc760dc0, 0x31c8bb28,
+    0x4466214c, 0xaa7cd937, 0x2622b33c, 0x747a0331, 0x64a9fc8c, 0x4250c825, 0xafb70c43, 0x31a6b8ba,
+    0x24f134af, 0x0dff8e71, 0x3144f34e, 0xf051fd2e, 0x3402436b, 0xd5cef273, 0x92fdbf57, 0x9d2196f9,
+    0xe001a2a3, 0x6d57e6d3, 0xc4d7a4e0, 0xe119d856, 0xf75c87df, 0x7c491b50, 0xb48b4a2b, 0xa4e190ac,
+    0x32a23605, 0x33e18985, 0xffaa5452, 0x555577f6, 0x3189a7fd, 0x2081e646, 0xa730e122, 0x2f80e3d0,
+    0x0c830929, 0x7f09b6c4, 0x8c2b96b6, 0x8ee15bd2, 0x84184792, 0xbe17b1a4, 0x94992944, 0x5d951bd8,
+    0xf202576c, 0xe305f6eb, 0xb3fadc3a, 0xae7fb575, 0xc4af9b5f, 0x31e41dce, 0x3982642d, 0x63e35c82,
+    0x843a6dd9, 0x10d70f4e, 0xadce4e4d, 0xfb408f53, 0xfa0b5a5c, 0x29bd5c88, 0xa7a6a782, 0x2df2831f,
+    0x0aa6fd5c, 0x96427f86, 0x0ff46794, 0x17b4391d, 0x12b4ac6b, 0x0399586c, 0x3e041e6b, 0xd1480f93,
+    0x9300e8a1, 0xdcb03f37, 0x4f702e32, 0x2ce7aee1, 0x45d68adc, 0x4dbbdc96, 0xe8b5993d, 0x156ad1f5,
+    0xdb49873f, 0x179738fc, 0xd2323908, 0x91f00c7f, 0xffda6eeb, 0x87edb2fe, 0x7de663e2, 0xd5804ca1,
+    0x02350947, 0x3c42af4e, 0xa9cffb48, 0xb49febb6, 0x4b57dbc6, 0x555f8c67, 0xa5bf7872, 0x9795fc08,
+    0x3955103d, 0x2aed2007, 0x58fd6f19, 0x82186ac2, 0x7e658cb1, 0x59d79677, 0xd7c5a3c7, 0xec76f662,
+    0x0e4596a4, 0x2a3f9755, 0x4ddf45bd, 0x344381ed, 0x050d562f, 0x81a349a7, 0x6648f297, 0x2fe38b65,
+    0xcfc3a855, 0x475b3174, 0xa816653e, 0xcc9891bf, 0x95d5cc34, 0xa12ed3d9, 0x0bb8595c, 0x1fd7142a,
+    0x4c874cc3, 0x6b15803f, 0xefad066e, 0x6e7d6f13, 0x9825ab43, 0xedc75e40, 0x554ad102, 0xd8059d60,
+    0xe2a73ea6, 0xab9bbf6c, 0x85278948, 0x4a2ef796, 0xcd5b2bfd, 0xbbdad742, 0xe9b88ff0, 0xa359b6ff,
+    0xb07624ba, 0x973fcd74, 0x9e20dd6f, 0x5c61dfef, 0x4660af36, 0x4ec16933, 0x2c90f644, 0x39e4ee23,
+    0x4774e994, 0x8019f8d5, 0xa507d2f2, 0x5eb27331, 0xe55f16aa, 0x01f557fb, 0x52dc275f, 0x9d358dd2,
+    0x11ca8831, 0x95c3ffec, 0x0ca88908, 0x3f04e77b, 0x5402f612, 0x69f93b1d, 0x12afa4ad, 0x48e3879c,
+    0xa1a627c3, 0xed2a200f, 0x2cb1a472, 0xf2e1a647, 0xd938ec12, 0x3a2dd3b5, 0x2c1daaec, 0xf5f78c5e,
+    0xce82030c, 0x0193e3ee, 0x8fd58114, 0x94760bdf, 0x27a39f08, 0x16ac9991, 0xac13219f, 0x02b0e5e6,
+    0xd5abe6bb, 0x46718f88, 0x5201a4b0, 0x94685845, 0xa86c9a2e, 0xd6f0a9e2, 0xaf5b0544, 0x89ad55cd,
+    0x88cc35f2, 0x6284cff4, 0x361e3350, 0x54d83c91, 0x35cda460, 0x2f4393cb, 0x0a56910f, 0x0f4caeca,
+    0x0f8fc7c9, 0xa2e5d851, 0xdef5b0b4, 0x09381eb2, 0xd6b212b3, 0x552722b2, 0x758d3eaa, 0x82ac6dbf,
+    0xbac6c6ae, 0x35b8ba14, 0xdf99c2a6, 0xa70f42ae, 0x01a695a5, 0x9db1df4b, 0x39c53012, 0x4252f993,
+    0xe9d676ee, 0x7022680d, 0x92c6f5be, 0x949f7bcd, 0x68624dfe, 0xbe793808, 0xf1fba54f, 0xe6f27f17,
+    0x2d9f9e57, 0xe6f24b34, 0x269b8677, 0x5be6204a, 0x83ad2271, 0xaa0c2016, 0x37977047, 0xc1a19453,
+    0x75fdd5a2, 0x52f8c234, 0x992079ac, 0x3a4e68cd, 0x51c50461, 0x5baca6d0, 0x54b997d8, 0xba31ca2a,
+    0xa5acb0aa, 0xa16d831b, 0x9cb44d31, 0xae21fc10, 0x05b839b3, 0xa2138b7b, 0xf22153e7, 0x515a18aa,
+    0x5463584c, 0x3c74a1c6, 0x15fa09bd, 0x36ef66fd, 0xfff3b43c, 0xbafce3ea, 0x832b2840, 0x0d121b1c,
+    0x7edf3bc0, 0x04ff9d39, 0xf793de7e, 0xe767acc3, 0x6312dd77, 0xb31d56e4, 0x558674cf, 0x9d2da9c4,
+    0xa9460fdd, 0x0e4373b6, 0xc28adc39, 0x2e437924, 0xc1cf1a90, 0xda57b858, 0x4dfe39df, 0xe0a7c790,
+    0x756ee4d9, 0x91afe1fd, 0x52ac03d5, 0x6b841986, 0xeb12bec4, 0xe8cb0879, 0x3159a47f, 0x140e575b,
+    0x52bbd73a, 0x834db052, 0x2fdd1db7, 0x0efe3f80, 0x247f2857, 0xcd733fa9, 0x0e2f40a3, 0x8c2bb330,
+    0x98097cf5, 0xbf5a4a42, 0x0946036a, 0x61faf05d, 0xa6b97013, 0x765c316b, 0xa7489240, 0x5a70cd34,
+    0x522b2320, 0x79c688f4, 0x1a04f2dd, 0xc472bb5e, 0x5dae66eb, 0xaec62240, 0x633d66c3, 0xd0c1c6db,
+    0x8fd5c928, 0xb06fa139, 0x7e20d178, 0xa5f5d7f2, 0x88332c0d, 0x44aac166, 0x23c496ca, 0x0909e997,
+    0x096ed8b4, 0xa446976f, 0xd396e867, 0xf96fec59, 0xa1ad42f0, 0x81bdd991, 0x86ab0cb5, 0xbe55c779,
+    0x376d5cd7, 0xb5ac76b5, 0x4096902b, 0xd939e22c, 0x9adade00, 0xf86d5459, 0x9b7024fc, 0xe05fe7c8,
+    0x5e098ab0, 0x836d0e65, 0x4af84e2c, 0xcf79be56, 0x43a4adf6, 0xa909a8f4, 0xf2f11f22, 0x041b9f00,
+    0x21b4ea3f, 0xcf0677b5, 0x6bb53ad1, 0x4597d677, 0x72143af7, 0x70a7006c, 0x6685f5a7, 0x7572e550,
+    0x9961536d, 0x2d388adc, 0x4e151d26, 0x39a620c6, 0x1ddc5abb, 0x058d80f1, 0x7fe0438a, 0x77949bbd,
+    0x86bcd60b, 0xca6db0ce, 0x9f29fef1, 0x1f17f286, 0x90918727, 0x98602e02, 0x29b37f95, 0xc64b68a3,
+    0x7a802072, 0x50edf681, 0x36c04b34, 0xf8852650, 0x4b2033f6, 0x052e581f, 0x62046853, 0xc41491b5,
+    0x85f5642f, 0x50a111f1, 0xcd18c3c1, 0xdd874715, 0x0f4f22f3, 0x3208b89a, 0xa036f742, 0x1d1c6c20,
+    0xda5bfa40, 0xaee29c6b, 0x4e0d2a97, 0x4df03ba8, 0x2542a6bd, 0x9d674fe9, 0x0e2dc6e5, 0xf8653b3d,
+    0x185b38d4, 0xb84bfd2c, 0x41659b5f, 0x19aea405, 0x81d43663, 0x953d8559, 0x7e9ac09a, 0xff54d5e1,
+    0x27e42518, 0xd872c6ff, 0xd24a56e2, 0x64026872, 0x46c7f166, 0xd2c81233, 0x66827a31, 0x5afde0b2,
+    0xef6b2f81, 0xd49b9705, 0xdf5d4fa4, 0xe604feb2, 0xe7062e13, 0x63dd62e0, 0x00ab0b2f, 0xe14eae10,
+    0x85cf73ae, 0x6eb07f9a, 0xcf0b62f6, 0xe6e87793, 0xfa94671f, 0x9b78d8f4, 0xc007f272, 0xb44c4bcc,
+    0x1e303004, 0x121d7201, 0xc47b200b, 0xe8b144dc, 0xd0dcb2e0, 0x386c5930, 0xe36796e2, 0x71093539,
+    0xbb68e9f0, 0x51fd1ca7, 0x768c76c4, 0xe4aa33fc, 0xb64b8e15, 0xddc80078, 0x63803dfd, 0xfc6d35d6,
+    0xa0a4f920, 0x44107443, 0xb1817684, 0x534bd3ba, 0x6951ddd0, 0x1afd925e, 0xe2481df1, 0x7713e1ef,
+    0x0d740e95, 0x0d9d3e95, 0x589a1a19, 0x204b3443, 0x3341159d, 0x8feac440, 0x48186bff, 0x58f6e500,
+    0xe3eb8b27, 0x85437c3b, 0x007ffecb, 0x193c9210, 0xbc42283c, 0x65c4a127, 0xe9e6afc2, 0x11848373,
+    0x23c5f67b, 0x8d2883b4, 0x7d465fda, 0x5a3fe6c6, 0x8cc97057, 0x6ae58e71, 0xfb3650f3, 0xd1b15d95,
+    0xf1a90f55, 0x0b792dec, 0x22fbc62c, 0x75eec0c4, 0x535adb69, 0x3c6e2bae, 0x10af6fd3, 0x8de7c29e,
+    0x632964d2, 0xab350a50, 0x72716bd3, 0x062fc4c6, 0x02febf68, 0xb911e8e9, 0x6bf1b0ad, 0x10f9ab9b,
+    0x823e41e2, 0xa99f4997, 0x91f8b833, 0x03e40d3a, 0x32beed2f, 0x194b27b1, 0xac576255, 0x30a1cd2b,
+    0x9081e236, 0x36d9f493, 0x4e0704fe, 0x4e5ba5ab, 0x9b72ed9c, 0xcaae8a8f, 0x96ee0eb9, 0x7f3815be,
+    0xa15260a1, 0xbc222abd, 0xbab7f51a, 0x6779ce70, 0x6668d310, 0xa6acc20b, 0xcf37d543, 0xdf3a7117,
+    0x0896a9c8, 0xd883e78b, 0x5be69d7b, 0x906b87bd, 0xd36d9f67, 0x4f864854, 0x79e2848d, 0x1d546701,
+    0x5da478a4, 0x65dac8f2, 0x425b4b1f, 0xabb456de, 0x791a7939, 0x37f3d201, 0xb96e6605, 0x759399a9,
+    0x33b7f76d, 0xc44b2f07, 0x689cba75, 0x94270aab, 0x367f17fb, 0x2581d8f1, 0x43ed71b1, 0x8c765115,
+    0x25925c09, 0x2aa555d6, 0x3a47d167, 0xddbb1c1f, 0x1b049bfd, 0xda1fe76d, 0x31df7d35, 0x800ae240,
+    0x95fa9b71, 0xdca9992d, 0x1483eba1, 0x081dcd70, 0x4fa4f829, 0x3a714327, 0x75b777cf, 0x6708a963,
+    0x3423827e, 0x64494125, 0x5868cec0, 0x6119939d, 0xf559c32a, 0x4a6774eb, 0x250a4e87, 0x1f26f187,
+    0x30f712d1, 0x2ad48ae2, 0xf2bb52aa, 0x2fc3cb9c, 0x6087c8ba, 0x61a7bf44, 0x5abf6445, 0xeffb8bc5,
+    0xd1742315, 0x897529cd, 0xf68e7c52, 0xa74e8020, 0x8f3ae29c, 0x2e23e67a, 0x46900cce, 0xcfa78e76,
+    0xf1784643, 0x793feb32, 0x550eebf7, 0x894983b0, 0x84d36a69, 0xb69c9095, 0xc963af7c, 0x47091d2c,
+    0x14585a3b, 0xe5b2dc76, 0x31cd74c9, 0x9f2691b2, 0xd3d9e3b6, 0xf77722f6, 0xf1ba55d4, 0x535df644,
+    0xbac96b87, 0x909f3731, 0xc5aed1fd, 0x6e0ba427, 0x96469915, 0xf2811db3, 0x9b64f748, 0xe8bae676,
+    0xf5eed551, 0xf8b0cb06, 0x77f5a29b, 0x10f04f65, 0x1d32ab32, 0x91420e57, 0x2611162b, 0xc09e5d48,
+    0x0a03da59, 0x98dcfd54, 0x3c58fce1, 0x98399dcc, 0xd5bef22c, 0xa071dbf2, 0x4ddc642e, 0xd2afdf6f,
+    0x75d95f8f, 0x33aae564, 0x7b26651a, 0x44656a99, 0xad01fa38, 0x8847fe09, 0x7376536a, 0xd3e91276,
+    0x3c081cb3, 0x8149c687, 0xe35fb230, 0x716e06f1, 0x5d32e855, 0x72f76373, 0x8e8cabeb, 0x02a0cea9,
+    0xd08f1971, 0xa6b984d4, 0xb79ad193, 0x6de244d4, 0xa3f868cc, 0x5f6d374c, 0x4a4f8e3f, 0x144053b4,
+    0xe022d6eb, 0x154ddbf4, 0xd2e3dc3a, 0xca00c03b, 0x5c8879f5, 0x6a780a87, 0xdf624718, 0x490c55d7,
+    0x3d335d08, 0xa4b9aa5b, 0xb2b82b0d, 0x570d8e4a, 0x0156e99a, 0xd2919935, 0x29bee37a, 0xa976bd9b,
+    0x0f6d10d7, 0x4b003fe8, 0x5884ba92, 0xf1832acf, 0xecf1c70c, 0x35372132, 0x3715b77a, 0xa0d39c18,
+    0xee46ff34, 0xc28a8261, 0x1aa626e1, 0xab92b8f4, 0xa2a316ee, 0x8cae115f, 0x97438454, 0xd7be0710,
+    0x543ba471, 0xdb673f2b, 0x8b940c69, 0xdb324ac4, 0xcc97148b, 0xdd2ed9e8, 0x0ce4e30b, 0xd11202a5,
+    0x00000000 }, /* 10**00000000000000000000000000006769213120412145653267612754255575447842863953554\
+                         23968547480366360991530225982818124993751490268451683933401113623918903558144 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1,
+    0xbd9d6a74, 0x8db56404, 0x173c2ce8, 0x33287ef4, 0xeea8f9d1, 0xf125f55b, 0x1d685eb0, 0xa1af723f,
+    0x00000000,
+    0x8fe016a1, 0x408912b3, 0xe8dbe2ad, 0x6a8ff530, 0xd6064908, 0xfcb1c833, 0x62bfe1f4, 0x5c376547,
+    0x1aa7abce, 0x22eb126e, 0x4ef5179c, 0x3c458996, 0xf284bdf4, 0x31b5c81f, 0x347de2cc, 0xabb6a5da,
+    0xd19aa973, 0x11488647, 0xa992c2f3, 0x25261216, 0x0bf57b4a, 0x7266da87, 0xa349b5f0, 0xe464b5a2,
+    0x27068c29, 0xb6b4606b, 0x08fae693, 0xff74f20b, 0xfb7a3a3a, 0xffb217cc, 0x34569d4f, 0xa6d1e905,
+    0x73b17863, 0x9e6a2049, 0x217828f8, 0x8ae4c476, 0x132039ae, 0xd24c8451, 0x6ff8c843, 0x85becd7f,
+    0x37b5b572, 0xfce292b4, 0x512599e8, 0x1310e2de, 0x7135be35, 0x7d2174bf, 0x8b50d84d, 0xb6d36efa,
+    0xe3c59fa5, 0xc80847fe, 0xbaaa3604, 0x71b4589f, 0xcb101923, 0xb609c9d8, 0xe911f626, 0xebea5226,
+    0x969cd035, 0x839275fb, 0x36b80d78, 0xe8cf7030, 0xe350e41c, 0xfb2eb0cf, 0xc4c1856b, 0x59d365a2,
+    0xed15ce1f, 0x6ef5c104, 0xd308b267, 0x0fe2181a, 0x61014237, 0xc85f7312, 0x5a070a1e, 0x2d599580,
+    0x8534c146, 0x6ce22804, 0x01e6e085, 0xe9f42017, 0x76e86b7b, 0x1258f3e1, 0x865de56f, 0x9fd4a024,
+    0x796f1e55, 0xcee5c3cf, 0xed5d4c92, 0x85f4bee3, 0x76602a58, 0xe03acdd6, 0xbd5f86a7, 0x422911fb,
+    0x11402b8d, 0x8db48ccc, 0x8284cda0, 0x87d60ba9, 0x1b144ed6, 0x25fae0b7, 0xe39acf72, 0x8daf4b50,
+    0xb475cb0a, 0x24af1936, 0xc8c62e64, 0x32cb76b1, 0xe2f3824d, 0x7e33eac6, 0xd150f5a2, 0x5f6b06cb,
+    0x3cc9dd71, 0xe58027b0, 0x973f098f, 0x2417f37c, 0x4f1d3045, 0xf81e4444, 0x87e517fc, 0xb57158ca,
+    0xbde45943, 0xa5a2e7ec, 0xe5fca795, 0x67330eab, 0xf5c7bc06, 0xbbf9f389, 0x2e34f03f, 0xacd5022d,
+    0x349ff840, 0xfafbc97b, 0x20f2a679, 0x503b0617, 0x7cad0613, 0xc1d00021, 0x8f3a0cea, 0x58691111,
+    0xcc22fc90, 0x52829a6e, 0x60b8d46b, 0x37a2637f, 0x714a6f97, 0x07a5cd84, 0x3199cd34, 0x6c6c7aa3,
+    0x946b7bff, 0xb0e0e344, 0x1aff52e7, 0x268f90d5, 0xf0043ddf, 0x265b4216, 0x8e7166d6, 0x470e1c12,
+    0x1b15555e, 0x8c22849a, 0x7f9eb1c3, 0x15bb1706, 0xd3307e6f, 0x2d251a44, 0x1dc43502, 0x285d1324,
+    0x44b66357, 0xac772310, 0x7817ba97, 0x96a54e2f, 0x0dd9a7bb, 0x94591b9d, 0x8dd51612, 0x7752345b,
+    0x8c44c1b9, 0x4223de24, 0x258e4738, 0x0d8f4125, 0x8f3bbfa6, 0xfe3e5225, 0xe272fd54, 0x67ccd1b2,
+    0x44941665, 0x247fa107, 0x27ec140d, 0x02833935, 0x9bf9c0f5, 0xcdd375b5, 0x0589d132, 0xe8051327,
+    0xf878390b, 0x675cd392, 0x41a298de, 0xa24c6bf1, 0xbaa2a3bb, 0xd2da20a8, 0x8dc499a6, 0x92de4224,
+    0x32575748, 0xb3084999, 0x16161468, 0xf7a8e646, 0x5b582f30, 0x6d181b2b, 0x66f45717, 0x116d4ffd,
+    0x6f36804f, 0x836fb685, 0x2deba738, 0xf5434aba, 0x582142a6, 0x99099c35, 0xcbda5bac, 0xf8bb451e,
+    0x96bf9a3a, 0x2fd553a7, 0xc00b6507, 0x6d0c10f7, 0x88a8bb30, 0x8ecf924f, 0x44784df2, 0x97f0d47e,
+    0xbcbec7cb, 0xda0a43dd, 0x2cdc62d0, 0x382f5f60, 0x707802c7, 0x1bbe9eeb, 0x9042a5c1, 0xbe38d6fd,
+    0x9b5427eb, 0x37271b70, 0xcd467161, 0x149393e4, 0xae5e7d92, 0x6ba9cd87, 0x9ca80f5a, 0x97d91812,
+    0x125bbe13, 0xa9c8cfac, 0x6f1b68c9, 0xa53affde, 0xb9f3abbf, 0x50ccc9b0, 0x4516c090, 0x55192a02,
+    0xd3b4cab5, 0xf6c762a4, 0xa3790101, 0xd35dd353, 0xfe40f270, 0xc0b66bfd, 0xcee11cb6, 0x9527741e,
+    0xa3302651, 0x4e6956de, 0x672c30cc, 0x77ec7737, 0x23e4d824, 0xdb827c63, 0xe36459f4, 0x8e693068,
+    0xfd554bc3, 0xb6b9b4ad, 0xed08a01e, 0x02162906, 0x286972c3, 0x675f8b80, 0x99b68983, 0x7a0e81a6,
+    0xcf03fdc5, 0xa82eb8de, 0x473c0a0f, 0x0b1b5776, 0x21ad6b67, 0x85b418f9, 0x21e4002f, 0xb953af47,
+    0x6661e1e1, 0xb38fea42, 0xc27656c9, 0x9ea7226f, 0x3371599f, 0x3e0b4509, 0x5adc22a6, 0xdaa6552b,
+    0xf8d3f467, 0x0d3d56e0, 0x0c87dbb0, 0x300c6eb7, 0xc883379b, 0x4077963f, 0xd95bf0b6, 0xf13573ab,
+    0x689dd4b7, 0x20f3a80a, 0x919c5988, 0xe08f8ce0, 0x8cd10f45, 0x08eb3942, 0x43ac67cb, 0xb87c8f41,
+    0x99fde96f, 0xec1dc358, 0x82b7c36f, 0x050f6089, 0x50df8bef, 0x37a9aed9, 0xdff03016, 0xba32a6e0,
+    0xed6200d3, 0x63bb8750, 0x2069fb57, 0x6e47d048, 0xbbeeaad9, 0xda30617c, 0x06203c56, 0x4eef2882,
+    0x0f5d1e02, 0xa6ae9231, 0xc18e9575, 0x1f02b765, 0xea125bfc, 0x907c5f23, 0x6d4976e6, 0x9e75fb52,
+    0xbc10c1ff, 0x229f1cf5, 0x1c1f39f3, 0xdebea7a2, 0x178f415f, 0x7bb05067, 0xe2c98020, 0x6a5f19f3,
+    0xaa4cd8b3, 0x0d58f489, 0x1c862375, 0x701bab8b, 0x2766cd6e, 0x8b810a92, 0x0d093bb0, 0x322d9432,
+    0x1e440351, 0xcc0fc874, 0xa2df0c61, 0x920d6063, 0x4eca16d3, 0xe45757fd, 0xae942484, 0x9bd7d0cd,
+    0x019ea71e, 0x5762c436, 0xc32c4ae9, 0xe3829ffc, 0xab4afec2, 0xf9d6d1d4, 0xf6fbb464, 0x8c8f6d6b,
+    0x073cda87, 0x41569b07, 0x3d8ef30e, 0xa30cf502, 0x49130fc1, 0xf9f9f0b6, 0xcdc85dea, 0x9a97d7a5,
+    0x5c625813, 0xd89d3be6, 0x07c38613, 0x4cecda38, 0x2d84a833, 0x8ad3dbeb, 0x8bf35167, 0x009a2216,
+    0x3f371d75, 0x09d236d1, 0xbac17720, 0x858c08cf, 0x3f8572bf, 0xaf9eafd1, 0x319cda83, 0x52a51fc3,
+    0xad69c78b, 0x652617db, 0xcaf9362c, 0x923292ac, 0x904c54fb, 0xbecb4b14, 0x4cb31a48, 0x2972bfe0,
+    0x5957bb15, 0xd90f5dcf, 0x49d5ccad, 0x954ce7dd, 0x368d1742, 0x17d2df32, 0xa44bced8, 0x0b89f1cf,
+    0xf6c0e9a7, 0x363e7995, 0xca453123, 0x08f227ad, 0x4d479e75, 0x146bce7c, 0xf1ec705a, 0x335bdaf5,
+    0x404483dd, 0xb8473c1a, 0x55de1c85, 0xc80edf68, 0x055bb74c, 0x3b724ac5, 0xa5131ed1, 0xe945884d,
+    0x5ebc99b3, 0xb435e7ce, 0x3e69892d, 0x6e88993f, 0x1087b4b3, 0x714d6df1, 0xdfc516f3, 0x1e1fcbd4,
+    0xab1422c7, 0xab61403a, 0xbc3b3672, 0x45c80484, 0xca71e885, 0x5a2e2f65, 0x0a3932b9, 0x2f909d11,
+    0xce5688af, 0x86502fb7, 0xadfc6c61, 0x15a82c9c, 0x6611259f, 0x7ba38975, 0x22755f4a, 0xd8bcb702,
+    0x7fa375d0, 0x2320eb03, 0x8f207a11, 0xd0462c18, 0x26e7bf53, 0xc8d3072c, 0xd67a9dce, 0x2cb1b469,
+    0x1adf9be2, 0x14c328d0, 0xe0817a59, 0x302b9ff3, 0xc951b264, 0x06509a4a, 0x9377431a, 0xd8e6b495,
+    0x27cbe5e0, 0x46af953a, 0xc5c6904c, 0x72df2050, 0xbcd9dac2, 0x4d1c69e7, 0x822f07cd, 0x68835a76,
+    0x40723eeb, 0xa1715697, 0x2519cae3, 0xc967583c, 0x7cd26dfc, 0x94cd4bbe, 0x92c48d76, 0x1ec84d32,
+    0xf94826ce, 0xe9924c08, 0x5fba051c, 0x26548d02, 0xabe8c3d3, 0x43cc4f45, 0xd0726b8f, 0x9151a87f,
+    0xac6ac901, 0x8ca41606, 0x3c89169e, 0x672a49db, 0x8fd0e0ff, 0xeb269e01, 0x97ab2902, 0x08c1feab,
+    0xc169f5c9, 0x7a6487cc, 0xbfb07fc7, 0x9a1654ce, 0xeb0e52e4, 0xb84a52e2, 0xde8bca81, 0xe32cca71,
+    0x69c1a02e, 0x5af55c86, 0x6a54c759, 0x9a18be7b, 0x3e345ced, 0x23e3df7c, 0x54c92e21, 0xbc9adfd0,
+    0x66592bc4, 0x3cc0dae5, 0xaecc3bb1, 0x99b36e43, 0xc8b1dd4d, 0x43034cac, 0x37f4eb45, 0x8ae96a0c,
+    0xe74b3323, 0x64fa6541, 0xdbe4b137, 0xf5e6f456, 0xc0b28d61, 0x589489bf, 0x0c17f429, 0x6f00bc50,
+    0xf0442f4b, 0xa883f6ea, 0xc231481a, 0x27251b1e, 0x9794e414, 0x4973efca, 0x399664fb, 0xaeec8765,
+    0xbbd1e95c, 0x4a5b17aa, 0x558e4911, 0x76683766, 0xffdcdea3, 0xfc783a91, 0x0255363f, 0x8417566b,
+    0xa0fcee8c, 0xe15213db, 0xf09d3361, 0xad3742a7, 0xfcdc38da, 0xe4556df6, 0xd0ac3273, 0x4078707f,
+    0xd642fa65, 0x610e30ee, 0xd017fbaf, 0xb03ed17d, 0x31af8230, 0x497d0898, 0xf67f7566, 0xea43b360,
+    0xef8c9741, 0x9aed33e1, 0x405cf9b8, 0x09b982b8, 0x0c86c530, 0xe631d96e, 0x0493b472, 0xa20a64b2,
+    0xb3f4824a, 0x4881f2e8, 0x118e447c, 0x3f25303a, 0x644b9257, 0xde1eccce, 0x4d06267d, 0x49a44937,
+    0x13b361c4, 0xa6528773, 0xaaaf7ef1, 0x86817f92, 0xa6cd358b, 0x3535bc09, 0x013dac10, 0xa657b996,
+    0x5cdb10a4, 0x5314753f, 0xcac27aa0, 0xab1925b1, 0x7ed7fec6, 0xe354dcab, 0xd887a7f0, 0x16dd5e61,
+    0xff7d8852, 0xcc01ae0b, 0xb29cca9b, 0x941fa820, 0xd563a4ff, 0x81cc0f62, 0xe02eb208, 0x09b39c4c,
+    0xaba0bed5, 0x8c25eab0, 0x5807c72c, 0x8f6c234c, 0xc3353d62, 0xeb5992ba, 0x69da29a8, 0x70a97a4a,
+    0x00039bf1, 0x12e023b6, 0x2492c4cf, 0xc1f95764, 0x61c3dcc3, 0x95c12870, 0x7ad8d928, 0xcdd2b163,
+    0xcc559520, 0xa286f953, 0x65dbc6ae, 0x0f2ce732, 0x8112ded9, 0xdb945277, 0xe92b9c58, 0x8adb5c06,
+    0xa66c416c, 0x088c64fa, 0x1f086526, 0x918c6225, 0x9f286fd0, 0xe1358476, 0x67f9f56d, 0x4ddb9fd8,
+    0x8a70f4f3, 0x3756d923, 0xe6f70101, 0x9667cbbd, 0x6728bc6d, 0x0d52a9ae, 0x9e46e39d, 0x21ea689d,
+    0x56d14ef1, 0xe937c5bf, 0x66c4c1e2, 0xf80796c7, 0xa676b80a, 0x6f62a559, 0x17b37445, 0xce7f1d8d,
+    0xc059281e, 0x1a349d87, 0x00d00c6b, 0x3e63a609, 0x0b8166c5, 0x8984ee4f, 0x1d9555c8, 0x4e4b1526,
+    0x074f97fd, 0x4ab0a9f5, 0x371f388d, 0xfd703571, 0x7bec6e7f, 0x25ec8075, 0x58357a35, 0x9abac6ba,
+    0x811f0883, 0x2ffd527f, 0xb79e3fe5, 0xdd5c9caa, 0x9921fb16, 0x3d6976ea, 0x93c39dbd, 0x6a02d8e5,
+    0x26de6f79, 0x7960fef4, 0xc0caf841, 0x78e54120, 0x555d8938, 0xe2c9b239, 0x5500642d, 0x3bd7d352,
+    0x21117ac1, 0x39b3ba3b, 0xf9fbad66, 0x5f0835b8, 0xd417e1d6, 0x00bb21f6, 0x7bcd2fb2, 0x79dbe380,
+    0x9b3bdb84, 0x53b36fa1, 0x2b73572f, 0xf488040b, 0x44ff24e5, 0xd3437ebf, 0x74b3c758, 0x7575996e,
+    0x067b2256, 0x1bbda96c, 0x32dc15be, 0x0efc86ea, 0x6ce63b83, 0x2b6673f2, 0xe9682344, 0xc4c6ccd7,
+    0x691e4b4a, 0x7a256b44, 0x94001dcb, 0xc8763c74, 0x29d1c436, 0xad4c3556, 0x62e57010, 0x1227993e,
+    0x24286f5b, 0xdda3786a, 0x53740333, 0x2a407338, 0x158ea646, 0x84d18f8a, 0x0b412679, 0x0a7206ae,
+    0x35d2b45c, 0xe248a3d1, 0xa5330342, 0x7ea0aa48, 0x7e198faf, 0xcb2b07b4, 0x2df6825a, 0x68edd1dc,
+    0xff68d912, 0x79f2666a, 0x7e1ba82a, 0x50cac16d, 0x9ad9e52a, 0x90ce00ab, 0x295a29c3, 0x8854d5e7,
+    0x02ed23b3, 0xe5f44ba0, 0x51ca9035, 0x34286943, 0xf1406b74, 0x682d6848, 0x84691667, 0x6b65abb7,
+    0x5f8065ff, 0x2f307865, 0xb921f8e4, 0xd3208cc0, 0x1ca78c9c, 0xff91a7eb, 0xcaa64000, 0x32106e44,
+    0x282da11a, 0x3efe71cc, 0x6d1b9c88, 0x859d9835, 0x240ffaba, 0x56645093, 0xe9ca82ee, 0x488354bc,
+    0x1483dc17, 0xc7e96d52, 0xeb9793cd, 0x69b987eb, 0xc758df58, 0x26c5e8fa, 0xd0c2904c, 0xa80cd419,
+    0x0c9838fd, 0xe13008b8, 0x4b63a214, 0x1a8d0619, 0xa94c63fa, 0x99f7f066, 0x59abae21, 0x8cc38afd,
+    0x2ef4a69d, 0x9dc5a124, 0x200caade, 0x7209cdf4, 0xa5f8b372, 0xc532b143, 0x7d7348d2, 0x0deb67ca,
+    0x4b786fdf, 0x3bdea99e, 0x1b5c3ff0, 0xcbacb3ce, 0xe388ff43, 0x90d8fd08, 0x3b747764, 0x1345a346,
+    0x62a87600, 0xbefdb053, 0xd8e3caf2, 0xef7e860a, 0xf27bfdbf, 0xd4ad33da, 0x5a2b5635, 0xee989057,
+    0xd12204f8, 0x4d392952, 0xfaa851f8, 0x98ea5fae, 0xb463f981, 0x4c6418e0, 0xaa73ffb3, 0x79c8cb05,
+    0xecaf2453, 0x755d3943, 0x68a1ca8d, 0x0aad4064, 0x653608f9, 0x415a772a, 0xfceb08b1, 0x3d0e51f2,
+    0x03b4b6b2, 0x152c8227, 0xc7a97566, 0xd2a9090a, 0x04ee1169, 0x8dd87bc4, 0x4a06e1e4, 0x26a46200,
+    0xfa0ee223, 0x8403aa92, 0x0ac40f60, 0xc89aee72, 0x1a3e7ca6, 0x9869f2e1, 0xd1ab8412, 0xbc9f14b8,
+    0x6512e984, 0x8c2b0527, 0x64cbbf15, 0x7d0d5d89, 0xf5fac5f3, 0x78aabd6a, 0x122bfd7e, 0x6f20c476,
+    0xcd9baff0, 0x0c1e02dd, 0x71b0a749, 0xbe23cb91, 0x9ed0fd71, 0xa614782d, 0xd33a0a71, 0x778abd2b,
+    0x8dac845a, 0xe3df29c7, 0x08924fdb, 0xb4a6469f, 0xdffbe799, 0xafe936bd, 0x703fd1d2, 0x0be0869a,
+    0xdd1c154e, 0x67e7504a, 0x1e59a1a2, 0x9b508174, 0xedc2dccc, 0x09062683, 0x2ec8f86e, 0xe1e6283e,
+    0xd1cafdbd, 0x6012f6aa, 0x75a8dbf8, 0xc640e91d, 0x6b532574, 0x9e1f5fd2, 0x58f636c0, 0x6d8ae837,
+    0x35ac2f36, 0x7ca13b12, 0xd8e7c323, 0x8eae5bf8, 0x3ef17956, 0x1721edbc, 0x0ebca245, 0x8affa137,
+    0xf42ce165, 0xa65ac4fd, 0xefe4bcb4, 0x31e36e9c, 0xcf930fc2, 0x61c4bf37, 0x9eb5ac49, 0xea3d1485,
+    0xc1a7e098, 0x74440e09, 0xec423255, 0xb4ecccd9, 0x30121a7f, 0x18c86b6b, 0x1174faa5, 0x391e4e06,
+    0x88f5c923, 0x231cb6e2, 0xe33fbdc4, 0x079e035a, 0xf333fb52, 0xca810dcf, 0x4c574607, 0xfe8d68b4,
+    0x9730d980, 0xaf4f924c, 0x28f8e6cf, 0xe0fb88ec, 0x5b9c66b9, 0xbb7c33e2, 0x194f413c, 0x174352ee,
+    0xf6e238fa, 0x78e18387, 0xc20d2a36, 0x1e64f553, 0xd06212ea, 0x8388f135, 0x20866ba8, 0x0940ec71,
+    0x70f8c8d3, 0xc47d8bd6, 0x8bd55b1b, 0x020d8295, 0x81caf8e4, 0xe69dad7d, 0xbaad90c8, 0xcfb1c793,
+    0x01de9a0e, 0x93719adb, 0xcadc50fb, 0x8b98df9f, 0xcdf395ed, 0x64213c85, 0x9110050b, 0xb9e46269,
+    0xea731530, 0x0f4ad588, 0x2393a526, 0xe11c10fc, 0x1fbaa127, 0x415bc225, 0x4cdf3b78, 0x1ddb856d,
+    0xd3a49248, 0x475ceaef, 0x10afc705, 0xa2492ad0, 0x5f34107a, 0x2e4ee16e, 0x9d32434c, 0x90ab1fff,
+    0x6beff1d5, 0x4f0ddc10, 0x10c65ad4, 0x15d69113, 0x09140fed, 0x2e4530cd, 0xc15fd10a, 0x76b40aa0,
+    0xa3c139f4, 0x017480fe, 0x01c9103c, 0x5955991b, 0xfbd5f6a1, 0x5e023537, 0x03579933, 0x418c471c,
+    0x9bf2616e, 0xbe57792b, 0x9e5050cf, 0xf12969a0, 0x94e8065d, 0x2318ee49, 0xefe19d53, 0xea5ac4c0,
+    0x319baf66, 0xf09df163, 0x9da69c1e, 0x08a12093, 0xd3fa0e9d, 0x4d058a8e, 0xa1525726, 0x2fbb1226,
+    0xa2397e97, 0x7a993e5c, 0x6c65bb81, 0xbef94e80, 0xc9b537b8, 0x4d0f5d5d, 0x3bc1bb13, 0xbf0c0843,
+    0x64f67905, 0xb7a3e4bf, 0xd9a329ca, 0xd3854f4f, 0xda35130c, 0x71e6517a, 0xd9c67789, 0x25a4d2d6,
+    0x6404d798, 0xc7b64936, 0x641357d5, 0xca76d071, 0xd5a826f3, 0x5b905873, 0xf523b7db, 0x1e0e5652,
+    0xce877765, 0xba874994, 0x5b2c1877, 0xa932368e, 0xf311de26, 0x14798afe, 0xdd8e473c, 0x36c500ee,
+    0x29ed092a, 0x50d6cc7f, 0x6b56e2db, 0x2cd64523, 0x564b5132, 0x2868de9f, 0xa09146ab, 0xc5ed7ccd,
+    0xdf376a38, 0x8adcd661, 0xfbf38ec9, 0x834375c0, 0xb3a5fa74, 0x4ac27024, 0x29e3f4b7, 0x623f0d71,
+    0x00000000 }, /* 10**00000000000000000000000000003384606560206072826633806377127787723921431976777\
+                         11984273740183180495765112991409062496875745134225841966700556811959451779072 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8,
+    0xdeceb53a, 0x46dab202, 0x0b9e1674, 0x19943f7a, 0x77547ce8, 0xf892faad, 0x8eb42f58, 0x50d7b91f,
+    0x00000000,
+    0x87b4aa7d, 0x9042fff3, 0x85fcde55, 0xbc000015, 0x0f9c0ec6, 0x2b7517dc, 0x9a082790, 0x31c1aa02,
+    0x7d886079, 0xc4c3eb01, 0x3e6179bc, 0x70d3524e, 0x89642fd0, 0xb0808aba, 0xe9c95d0f, 0xc891b49b,
+    0x2eb5b763, 0x54fb6983, 0x92bd5245, 0x7f429d76, 0x67508ac0, 0x3357d3c1, 0xfe01c5e9, 0x51deb1dc,
+    0x8a6a6b0d, 0x38b358f9, 0xafc0dbae, 0xed064984, 0xda635647, 0x57ddfa16, 0x48fdfa49, 0x8afdbfcc,
+    0xe4a692f4, 0x72fe8309, 0xd0096a5c, 0x38321cee, 0x6e6265ec, 0x37aa503a, 0x7dfc7853, 0x6f71ca9e,
+    0x9466a4a9, 0x70616795, 0xc97a9a34, 0x16ba2890, 0x68e6d4e4, 0xedde4a0f, 0x9491a7ab, 0x3f86b496,
+    0xf2a4531a, 0x99e60c19, 0xee16b930, 0x76b1bd62, 0x5c7dcadb, 0xb0f6e152, 0x958592f8, 0xed6587df,
+    0xcfd26cec, 0x9b78ef03, 0x86aae354, 0x85b336e9, 0x2713c42e, 0xf572e91f, 0x5d455712, 0xe76e3de1,
+    0xcb7eb45f, 0xea50a35a, 0xb2b01af1, 0xeacff13b, 0x4cafc108, 0x7f3dc1ee, 0xd7c56216, 0x6419bfb2,
+    0xa0940681, 0x1913d726, 0xce4a41ee, 0xdd7ee2d5, 0x7ec075f3, 0xa6ade613, 0xb36b5019, 0x6b7f96c0,
+    0x13d42ab9, 0x67e19cae, 0x7ff5ce57, 0x49beebd3, 0x4edae887, 0x5fb8801e, 0x5bb3b649, 0x9e28bb0d,
+    0xa2cfca3d, 0x16644038, 0x3a84681d, 0x7bbc4f69, 0x39cc777a, 0x3d078e49, 0xea302216, 0x7d5979d2,
+    0x4a15b88b, 0xd260cf8e, 0x3656a114, 0xc151dc9c, 0x7b838333, 0x39e70650, 0x163a35ba, 0xdfa76235,
+    0x19e42fb5, 0x084e825c, 0x62a929ab, 0xb2400118, 0x320f385e, 0x16ea5527, 0x9b4699e4, 0x1bc6737b,
+    0xa67fa5e0, 0x5dc1beb5, 0xc775b4dd, 0xefbb41d9, 0xc220fba5, 0xbf0b4fad, 0x2c9f28b6, 0xfa7a3ca9,
+    0x70104a10, 0x8de5ce48, 0x935a43a5, 0xc22665ba, 0x70b4852d, 0x8b7a96ee, 0xfcb9a8a5, 0xce2c9e14,
+    0x2bae3fa1, 0xad753e95, 0x0ec63a59, 0x21d03ecb, 0x9bb2b6d7, 0xda2b8166, 0x20f3c876, 0xd1e4ff91,
+    0x9c3cb787, 0x02553bef, 0x5ba8359c, 0xafc0774e, 0x862c7489, 0x89207975, 0xbcc79b97, 0x24c2f3f6,
+    0xae0a8a40, 0x62baa6e7, 0xbd2ed522, 0x2cea3008, 0x9618991c, 0x221eba6b, 0xd7e6327f, 0xd8334839,
+    0x477a3975, 0xfc80f28f, 0x9b900254, 0x98db4ac8, 0x810fa065, 0x77ee51d7, 0x50a7f18c, 0x8e315591,
+    0x97224c01, 0x277206d7, 0xfeb85799, 0x619e552d, 0x8d87f535, 0xcb99775f, 0xb6bc969b, 0x0aa6f459,
+    0xb5a75775, 0x7ed83788, 0x0a16ee51, 0x86058797, 0x77d635ea, 0x52d1a431, 0xa0df2a7a, 0xdf2b474a,
+    0x1f7a9108, 0x6c2a900a, 0xd68dcabd, 0xefddb9c5, 0xca3d6d1b, 0xbff77ad8, 0x025cff13, 0xcb69a951,
+    0x5eab6911, 0x00fe961f, 0x52a210bf, 0xbf11dc6f, 0xfdb0edfb, 0xc79e3ccb, 0x1031ebd3, 0xb1f110d5,
+    0x34a235b4, 0xbf9cd22c, 0x3a94fa7d, 0x7b4dc42c, 0x670a6c94, 0x89f5de7a, 0x030641c6, 0x9a3e2931,
+    0x0982ff19, 0x866ceb92, 0xb4c021fb, 0x101069f4, 0xf9e57f84, 0x8a5c4e22, 0x9015eb61, 0x8c5f2aba,
+    0x0d991cee, 0x0443e63c, 0xacb532e6, 0x8712322e, 0xe40a9a49, 0x3d870a67, 0x77d9b181, 0x633c09c4,
+    0xb82feb9d, 0x9f6add41, 0x3bae62e2, 0x81a5e159, 0xe4d985e0, 0xdc02fa8c, 0xe7408a8d, 0x84f640b9,
+    0x995186cf, 0x20cbf9cd, 0x819f45c1, 0xc45343da, 0xd3ee206a, 0xb14cc5ba, 0xad98b3c2, 0x794938b9,
+    0xa3693f72, 0xc119da57, 0xd39a06de, 0xec654d8b, 0x9ca62c0c, 0x64cd924d, 0xf0b363d9, 0x68332c8a,
+    0xa10a5f47, 0x32bf4fc5, 0x2d051760, 0xa8bdaee1, 0x9401d820, 0x12121836, 0x7cdd9ecd, 0xd48b092f,
+    0xb6ba832a, 0x32470ad5, 0x6f361ab0, 0x2ab9b0b4, 0x8ee7cb26, 0xc422dd11, 0x696176a4, 0x9300a233,
+    0x5b04ff19, 0x20462740, 0x7a1c8bc4, 0x658de081, 0x9a1b1014, 0x2d01fbfe, 0xa1f45176, 0x1e255c94,
+    0x2558fb44, 0x3b2e1357, 0x932f227a, 0x29bdf9fb, 0x5a5d2b00, 0x1e6a778f, 0x34f7ea0a, 0xba884a2c,
+    0xa2c81a63, 0xf1932386, 0xea792790, 0x5697daff, 0xf2a44408, 0xb8215ac1, 0x6518e2ae, 0x9506bb62,
+    0x60d05bc5, 0xd3530d25, 0x642166bf, 0x2edc61d9, 0xcb7932dd, 0x89cc183e, 0x4226ff52, 0xa751e4ff,
+    0xba214762, 0x5872d046, 0xefeb8096, 0xa94c11c8, 0xaaa5711c, 0x84bb6a2c, 0x7d870112, 0x8a6a024d,
+    0x5062b2b8, 0xe7baa43c, 0xc4f3b91f, 0x12e8237d, 0xe4a1ce09, 0x9fdb7517, 0x01167b42, 0x089e6f21,
+    0x5c4910fd, 0x1eba61e6, 0x86e8bf1e, 0xd722147e, 0x017fdf31, 0xd976d8e3, 0xbb7e7fa0, 0xfa365340,
+    0xd002cd5f, 0x973de319, 0xc543fd1a, 0x5e422179, 0x889d132d, 0x827ae4f3, 0x06fb102b, 0xf54a4d2b,
+    0xa29cf1c9, 0x4a01e5bf, 0x12d3e8ef, 0x46ca7f1a, 0x67c72717, 0x2e2d855a, 0xb6966fc9, 0x236d416d,
+    0x6d9ac85c, 0x3d3df5e9, 0xd9a06d8d, 0x5891cdc3, 0x58de40bd, 0xf6b6e322, 0x1211e4f1, 0x5f093cb1,
+    0xd0a5052d, 0x7023c4c1, 0x803bb673, 0x53e103ae, 0x14709c5e, 0x0ee98f8a, 0x441f8748, 0x3e91d2d3,
+    0xc2168758, 0x08425f94, 0xaacd3650, 0x85f3299b, 0x40942a93, 0xd743d38a, 0x5851080d, 0x82b8cbc9,
+    0x94284055, 0x26347044, 0x582987fd, 0x4824ce09, 0x23026714, 0x3c147337, 0x35e3429f, 0x9d1c28e3,
+    0x95622e07, 0x2d961f96, 0xa46aee9c, 0xfc07f77b, 0x566d7ccb, 0xac10aed4, 0x9cfbdfdc, 0x77048a7b,
+    0x427d6066, 0xc8553f9d, 0xf3f67600, 0x09cbebd7, 0x38793698, 0x144348fb, 0xff9dcc08, 0x77bde08b,
+    0x264dc143, 0xcc21fbf6, 0x8ce5420c, 0x2875543e, 0x21a0d773, 0x6a2a7fe5, 0x2efdb363, 0x43b08676,
+    0x5a3d05a8, 0x56650807, 0x6d2b167a, 0x03593862, 0xd6c3b638, 0x5ce42c0a, 0x465ab9fc, 0x59bf051b,
+    0x441ab5f9, 0xa39974ec, 0x5758b2c2, 0xb3f2afd3, 0x2b264002, 0x2882d285, 0x58c73aed, 0xfe9325f2,
+    0x5c67e20d, 0x5a9060fc, 0xaaab7408, 0xc3ab7ac6, 0x51ffb8ea, 0x7f2e5b5a, 0x68aacb15, 0xd2f04489,
+    0x4ae94d0b, 0xe2419163, 0x5f6ad9db, 0x0d8c7886, 0x6fb964ce, 0x5d956273, 0x93d5dbbf, 0xd353d5b6,
+    0xfa690143, 0x6d24f1fb, 0x5a706b95, 0xd554072b, 0x89c58a4d, 0x8aecd2fb, 0x9031e626, 0x19dcda22,
+    0x85b637a1, 0x08f3d5fe, 0x6303eb57, 0x553e059b, 0x2ce7da5d, 0x86ea8662, 0xbf79cad5, 0x885c7a1a,
+    0x62d9a009, 0x200dd760, 0xfb4e0532, 0x4439e5f1, 0x83496354, 0x351e7316, 0xa0118500, 0xd12cf307,
+    0xa9d5e75f, 0xf0cab95a, 0x2f479ebb, 0xa53de903, 0xcdc48163, 0x3966d1da, 0xbe8e15b0, 0x93767acf,
+    0x7c7d808e, 0x42a12040, 0xfedaaca6, 0x96dc59b7, 0x37c9127a, 0x4c014e10, 0x038ab80b, 0x96afbfa0,
+    0xa4a5cdff, 0x2fef017f, 0x068ff5b1, 0x594acf7e, 0xa1c3a0e4, 0xe0a03a35, 0x2cea43c9, 0x81bb2b70,
+    0x1583fa16, 0x9adbd556, 0x65098a4e, 0xa97c3f8e, 0xbab95b5c, 0x37599886, 0x59e095f5, 0xcae61977,
+    0x5fd0603d, 0xf87998e6, 0xb3fda1f8, 0x3ca11636, 0x53e42411, 0x7de7652a, 0xc9ec43bd, 0x034b2a39,
+    0x44459ea9, 0x93ca6efe, 0x8c302b73, 0x01038262, 0x87cb5e30, 0x262d7702, 0x0a42f619, 0xd993d78e,
+    0xccf7b8a6, 0x2e168049, 0xc4f1b5f1, 0x87be549a, 0x77fe3690, 0xfde139a7, 0x6d44650d, 0x8407f65c,
+    0x2662965e, 0xf1b840d6, 0xcde8e912, 0xd1160862, 0xb33bbb78, 0x155cb77f, 0x5b6f7767, 0x1ef50f49,
+    0x5a5ed2da, 0xba3da548, 0xca103628, 0x9e7c2b85, 0xc9180378, 0x734812b0, 0xce92e42c, 0x861dee7d,
+    0xa86641b5, 0x76cbf595, 0x75278031, 0x4b749b22, 0xd4bb5724, 0xdc2a3de9, 0x23d9bb4a, 0xf794167c,
+    0xaf946078, 0x460cba56, 0xf1477ecf, 0x9e3851e6, 0xba273b3c, 0xe911dafb, 0xc57f3c4b, 0xc44d28ee,
+    0xb84947b3, 0x2d6da580, 0xa3bafb5a, 0x26cc917f, 0x252e6273, 0x6e45c5cd, 0x61937f94, 0x709acaba,
+    0x3e37cc92, 0x06d35494, 0xe5fbddb8, 0x8b0141d9, 0xeef06a0d, 0x32838096, 0x352657d0, 0x70fe7682,
+    0xcf2bf3c0, 0x470e4ff1, 0xcc9f0a73, 0x697da966, 0x1b996b64, 0xb7ad4458, 0x0b4fdd39, 0x39cb8a17,
+    0x51d8fa55, 0xf5003449, 0xc0b3755f, 0x83562cac, 0xab000778, 0xfef8c123, 0xb5b88025, 0x47789370,
+    0x982c875a, 0x6a356e15, 0x35ee9981, 0x7e074092, 0xb360024d, 0xfc3d1ad5, 0xc3fd1f1b, 0xbeb847e7,
+    0xcd6b9819, 0x8cb3872b, 0x90b9ce56, 0x8513abf1, 0x31ba026b, 0xf8cd22dd, 0xbc228909, 0x2f9526cb,
+    0x3d22e7ad, 0x923e2513, 0x35aaf161, 0xa6d432ac, 0xf5592e56, 0x2e36044c, 0x30c0406a, 0x4c8f5f81,
+    0xd52703e7, 0xbb97ffe5, 0xb6481244, 0x8b8d4b78, 0xa2a5803f, 0x998e5183, 0xe2835898, 0xec284bcb,
+    0x2a3975d1, 0x5e525fb6, 0xf7053cd1, 0x69d2e153, 0x717aa6cd, 0x6f63c06e, 0x532102d5, 0x5e84ddfa,
+    0x69afcfce, 0x2d52ae32, 0x75691b2d, 0x766970fb, 0xdc23ba65, 0xe54ba1da, 0xb90cd102, 0x9930cc7b,
+    0x701ea074, 0xee96122c, 0xf26ba3d4, 0xb04ce01a, 0x6ca88eb6, 0x449615b5, 0x215b5152, 0xd203085a,
+    0x48a8a4d6, 0xec6909c4, 0x87ce5d2b, 0x785cc8a9, 0x63d79113, 0xd6b41dd3, 0xde935268, 0x764cf985,
+    0x93a55ba9, 0x80f5636a, 0xa8c4a1d1, 0x5b5d41cc, 0x02c1dc53, 0xe21b9475, 0xfc847758, 0xce351fb2,
+    0x0545183a, 0x76de52c2, 0xdf2a2446, 0x8c855297, 0xe035f041, 0xb24c96c3, 0xe49f8921, 0x88096d40,
+    0x91f2354b, 0x346faa98, 0xd6b28761, 0x9d219715, 0xbf027fe2, 0x64443d0e, 0x4d7d1168, 0x8c82a3a4,
+    0x9eb08f0c, 0xee598928, 0x0b7f1c78, 0xd354ce69, 0xc760df86, 0xa78d695b, 0xf3e2bf32, 0x81c87d22,
+    0xaede9fa6, 0x7dfba5a9, 0x3d38d164, 0x7d5c38b8, 0x2368883a, 0xdc613e47, 0xeaaae5bd, 0x0133d950,
+    0x21cf9914, 0x0a2a9160, 0xb116ff26, 0x4d054492, 0x17f06462, 0xdf07ea88, 0x04eb996a, 0x586b74ac,
+    0xfede9063, 0xbcc2b679, 0x4837a067, 0x46a40e1a, 0xbb4fc690, 0x8934ffa6, 0xcdb79457, 0xfa71cfb1,
+    0xa354afcd, 0xf2b136a6, 0xb8b9f25d, 0xad3ed039, 0xf3970ac0, 0x92ec48e2, 0x3a52f22b, 0x5925b87f,
+    0xcdc40c58, 0xbc1e7d2c, 0x4f7312ba, 0xee41cbd9, 0x8b07b9ee, 0xd0efd201, 0x27ef1e34, 0x22c8e935,
+    0x000e02db, 0xd9b8fc50, 0x4cf34cce, 0xdbc53ee5, 0x4ce759b8, 0x21402bf2, 0x6d0a7188, 0xc6496edb,
+    0x7ccccd62, 0x51a99935, 0x677111ee, 0x17ced006, 0xa944b85f, 0x7887452e, 0xe1937062, 0xac3c58f0,
+    0x9ef77b91, 0x1de8149d, 0x2271b14a, 0xcddf4150, 0x9f4124d9, 0xaa820a8c, 0xd57a9f49, 0xa6f9e4da,
+    0x8426c122, 0xa0a69abe, 0xfe57d998, 0xc20227f3, 0x944bccee, 0xa4f84686, 0x100f40a6, 0xc2b7fa2c,
+    0xc2e767f7, 0xafbff0d0, 0xe81ff4b2, 0x047c40ac, 0xfe60909a, 0x704842ce, 0xccb415ec, 0xb9f56520,
+    0x5ebe0d5f, 0x5c7ab348, 0xca4f6592, 0xf080835b, 0xcf88026d, 0x7014c869, 0xe281adf4, 0x0115d6bb,
+    0xe5a5fc2a, 0x32f3c450, 0x688b2e6b, 0x76ed3162, 0x5455f564, 0xb7eb75ec, 0x95c5f008, 0x33a5d1be,
+    0xe041fef7, 0x30196680, 0xe1132c89, 0x6d432caa, 0xc8881368, 0x1a621816, 0x081a994c, 0x3445c234,
+    0x843e3345, 0x477adb66, 0xfa3f7dab, 0xb0673fe3, 0xaa669547, 0x8a09d0f8, 0xc8309d16, 0x8985627b,
+    0xe8a01f3c, 0x9ee5ed09, 0x75322643, 0x51b8636a, 0xe6eca2b3, 0x912f5731, 0x6be4865e, 0x5fa8c608,
+    0xae536570, 0xcf22e836, 0x752b123f, 0x38347d30, 0xb3635c96, 0x9ce0a298, 0x17fd9ca3, 0x326faed4,
+    0xba4e04e4, 0x77392dca, 0x0d5c71e5, 0x0e8d6c76, 0x96521f1d, 0x4d10a937, 0x22ce4593, 0xa6ac2e4e,
+    0x6b4c3dad, 0xd750f7a9, 0xaa699be8, 0x78b2e95a, 0x4a8bb0d0, 0x19fe3f4c, 0xadc62aeb, 0x526f8545,
+    0xbefd09a6, 0x8f7c42f4, 0x74baa798, 0xb797c9ee, 0x0b2f8bc6, 0x562d7a18, 0xcd13e0f4, 0x102b6ad6,
+    0xc5d4a8b8, 0x0fa26d5d, 0xd3d78b9e, 0x854fb883, 0x555c2bc3, 0x69a14481, 0x1336eac5, 0x5fcb3e94,
+    0x5c939b38, 0x4ede5dd1, 0x17457474, 0xae3ad061, 0x8d493c6d, 0xbc8b8589, 0x5c94cfa1, 0xd06cde68,
+    0xc639dc93, 0x02b9b7af, 0xf96119a5, 0xf915e096, 0x9c99c6d7, 0x913e8c12, 0x4c649a4f, 0x53af479c,
+    0x02189c49, 0x3d84b228, 0x3fbdb396, 0x0c273e43, 0xa94e8c99, 0x82a18612, 0x3683ad2a, 0x609dd05f,
+    0xb3f29da6, 0x932ca182, 0x57149e2d, 0xa824ad0d, 0x7b7001dc, 0xbade4ed0, 0x865c3686, 0x2e60b7c2,
+    0xd2ee8c7b, 0x198c7a0e, 0xf980c262, 0x89f0bfbf, 0xeb4a133c, 0x2cb9c39f, 0xaa93dce4, 0xde8cf9d9,
+    0xa18de626, 0x9e1c04fa, 0x35e53c83, 0xd0b3b368, 0xe25b0949, 0xbd8954b8, 0xee67a47e, 0x741ed4c0,
+    0x7eb82001, 0x9fcc4c74, 0xc95adb58, 0xfc7c38f0, 0x63f6ac52, 0x284d193e, 0x9c2f8548, 0x46c1f12c,
+    0x40d154e5, 0xf62e9aaa, 0x4be61338, 0x5e45d476, 0x4f7be1ad, 0x89f25255, 0xc6d17b41, 0x3392392d,
+    0xf0a4bddf, 0x98143065, 0xcfbab68c, 0x9f21b1b8, 0x70592bd3, 0xf47217e6, 0xc9c9a60a, 0x99dcb745,
+    0x0fd6bc6e, 0x991dfa57, 0x0a1db030, 0x4357086c, 0x21ff17b3, 0x8df7e20a, 0x00379fb2, 0xc6081cf3,
+    0xc2b41ea7, 0x4dc96b6b, 0xdf57b599, 0xf77d148a, 0xe4215961, 0x289e90dd, 0x490c931f, 0x5a65b008,
+    0x3356c39f, 0x59af394e, 0x551de360, 0xf9f7ad70, 0xda512f70, 0xb87bfec5, 0x24be3129, 0x2451e0af,
+    0x8d79177e, 0x41553e25, 0x6b78d485, 0x1c32bbc8, 0xbe88de19, 0xf1fff50c, 0xd33252cb, 0xc328f8b0,
+    0xa5ecaa55, 0x704f277a, 0x44f48efc, 0xc272f92b, 0xc6ff09a9, 0x6fee29cc, 0xdcadb94f, 0x7c35e399,
+    0x6d7df5e1, 0x96ece3f6, 0x48fe9554, 0xc3d730e8, 0xce942112, 0x49e42f94, 0xbfb4ace1, 0x0caa87ce,
+    0x40148965, 0x451ab041, 0x96305575, 0x2420fd42, 0xdccbffb3, 0xd0eebd11, 0x5afc1031, 0xb34186df,
+    0xe00f278b, 0xe4aa5486, 0xea8b39b3, 0xb9f06e83, 0x607c03cc, 0x0695dbe4, 0x153b9eb4, 0x46d94b80,
+    0xc9323701, 0x850603ee, 0x054abaf5, 0xda81962b, 0x453936fc, 0xfa7bd89e, 0xf92074d9, 0xca00d615,
+    0x1922fefb, 0xb43cbbf6, 0x99688b40, 0x00f45c0b, 0xff8aa15f, 0x86862ecd, 0x2ce26b74, 0x8b0152fc,
+    0xdd29156a, 0xefecb054, 0x7e03c571, 0x323bc9d5, 0xb3f036fe, 0x05f1f683, 0xc4cd2c27, 0xd8b5f861,
+    0xfa454557, 0x460a8553, 0xdcbe9abb, 0x368bc0d0, 0x7cf6bdb4, 0x257f6be8, 0xe8e7ae5e, 0xf4a0a4f0,
+    0x477f3524, 0xc155008d, 0xbcb48792, 0x069ed8c5, 0xb99a46b9, 0x28a10200, 0x66f42201, 0x3fafec40,
+    0xe1d75aa2, 0x9f63a75a, 0xe8abf17f, 0x4eae5b2a, 0x0816676e, 0x9b0f4e11, 0xd294fb54, 0xa87848c5,
+    0x31b43971, 0x7b4ec6a5, 0xc876cf37, 0xa01f7280, 0x271f661f, 0xaf8dd58b, 0xbe6023a6, 0xe69fffea,
+    0x00000000 }, /* 10**00000000000000000000000000001692303280103036413316903188563893861960715988388\
+                         55992136870091590247882556495704531248437872567112920983350278405979725889536 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc,
+    0x6f675a9d, 0x236d5901, 0x05cf0b3a, 0x0cca1fbd, 0x3baa3e74, 0x7c497d56, 0xc75a17ac, 0x286bdc8f,
+    0x00000000,
+    0x83cbeb4b, 0xfd688f00, 0x884dd6c5, 0x4da0d7bd, 0x6e3595dd, 0x541564de, 0xede1279d, 0x7939cef5,
+    0xfd193ac2, 0x01f0ecbc, 0x98425e33, 0xc20c4410, 0x0c8bb574, 0xeee510a5, 0x58eb68ae, 0x4afefebd,
+    0x762f683a, 0xb48b585a, 0xadf8a1fe, 0x10640f43, 0xae243e37, 0x4eab5d71, 0xb1da37a4, 0xda5d6218,
+    0x187e7425, 0x35889890, 0x1ec22061, 0xd5c46873, 0x2cd6b261, 0x0c2dc4ce, 0x31fe5c17, 0x055a2330,
+    0x83f6663f, 0x07aee406, 0x4ca3eeab, 0x74b143b8, 0x084f5a12, 0x16c7abd3, 0xc4fc3af5, 0x4f71bb71,
+    0x30e35f40, 0x2684fda2, 0x7fe5729f, 0x0d650f17, 0xe9247e1b, 0xbe50a966, 0xb1a71b25, 0xeca21e4a,
+    0x220de6fd, 0x9713db3f, 0xe883d8ea, 0x60aa1740, 0x8a25b85d, 0x34ffff85, 0x1410e8f5, 0x2f8b1c93,
+    0xd5b81881, 0x23ed003a, 0xa840632a, 0xebf9d935, 0x6ebe3fce, 0x4e2ca6ae, 0x5b80eccf, 0xc763582b,
+    0xa43973d1, 0x4ec29299, 0x6bc9530f, 0x81e95cba, 0x2b3a16cf, 0xef2b5070, 0x36a10ea9, 0xf2cd43c5,
+    0x0bc93235, 0x03b69298, 0x9587d11d, 0x794d21bf, 0x343d2b04, 0x667e843e, 0xcb35d215, 0x221f03ea,
+    0x11f14e77, 0x5ddbf3e7, 0xcfef0032, 0xbef29cff, 0xac443729, 0x07479b59, 0xf22b4733, 0x533675ba,
+    0xaa2dff21, 0x1b0aaca6, 0x00d5831f, 0xdcd1eb89, 0x590d0815, 0xc6f1d3d8, 0xfdc767b0, 0xec7687b0,
+    0xcd3b498d, 0xc7fef910, 0x85d3b9dc, 0x569dec9e, 0xae64fe8e, 0x14203f56, 0xec3676fd, 0x421e1fe4,
+    0x7e8789b1, 0x5ddf7eca, 0x74489e76, 0x97819f46, 0x44d77a6d, 0x86d2f550, 0x61b6de80, 0x06ad068b,
+    0x0a4caa40, 0x28fba30f, 0xe61dd416, 0xb6ed8456, 0xeeabcd86, 0xdc0201bb, 0xa3691e21, 0x4904654d,
+    0x6a379a46, 0x6eede317, 0xc087e704, 0xee8d5da5, 0xb14666bd, 0x6f500501, 0x15088f28, 0x1183288e,
+    0xad64d6f9, 0xa23c85b6, 0x18bf2647, 0x9fb29483, 0x82b92f4e, 0x5ed50adf, 0xde374f20, 0xc65f144e,
+    0xf6ffc2f0, 0xfbf776e9, 0x53ecede2, 0x8c9e20f1, 0x340740e1, 0x9816e322, 0xbae71db2, 0x60437d1a,
+    0xd357aedc, 0x6028dd7d, 0x60c0f127, 0xafd41673, 0xcdf3ba3d, 0x3c9e2390, 0xad791149, 0x75aac898,
+    0x39a8f25a, 0x15959b82, 0xb50f45c2, 0xee8243b3, 0xf571a567, 0x4c201b83, 0x6a3e8a7e, 0xea5e538e,
+    0xdcc42f4e, 0xbbb55b40, 0xde4b4e6d, 0x0aaa43e9, 0x4aee88d0, 0xa9b5c90d, 0x06691598, 0xae31bbcd,
+    0xeef46600, 0x4fea03e2, 0x4329b3b1, 0xa7ebe251, 0xd0f1e945, 0x1fb68fb0, 0x4e5a9d50, 0x95434eb2,
+    0x60d177e4, 0x1c61afd3, 0x41791cba, 0x2bef0cd9, 0x854f15c8, 0xab06ffeb, 0x5d20ca16, 0x5b71fdab,
+    0xcad01c37, 0xe6444786, 0x6cf8f552, 0xa87bb461, 0x7b864ceb, 0x5b2ead2e, 0x91ffd2f7, 0xf30dd877,
+    0x53e6a3bf, 0x24483b3b, 0x03e5e8e8, 0xb70e70a9, 0xfd63ea07, 0x50b9688c, 0x104d5e1f, 0xd99d40f2,
+    0xebb5f929, 0x26b31e40, 0x83c6dd82, 0x6d82c703, 0xf25d40f8, 0x3203b8ce, 0x221a0c7a, 0x736f8114,
+    0x4fab1463, 0x5ef54980, 0xab593fe3, 0x246a4867, 0xfad490b5, 0x62f8f196, 0xee721e6d, 0xb190c9d2,
+    0x9ee2463e, 0xfb2f3750, 0x5c2a7119, 0xf0ebf1b2, 0x07bbfffb, 0xd425a1ac, 0x391ce71b, 0xb216438f,
+    0x4688efde, 0x1c984f1b, 0xe52f0d20, 0x6d2f13af, 0x4cc61c48, 0xef68109a, 0x0ab27ed2, 0x3e00c8fb,
+    0x07410116, 0x5134890a, 0x143bf4e3, 0x913f78fe, 0x955c4e38, 0xe75ef97a, 0x47d9088e, 0xc5488801,
+    0x14b40fb3, 0xa9ba90b5, 0xf756bcf8, 0xd26c85e1, 0x14f04403, 0x541d1386, 0x6409ef18, 0xc3fcfc7a,
+    0xb3699f23, 0x185a8cb6, 0x94f9c5d6, 0x6fe9e8a4, 0x105f34e2, 0x910f266c, 0x2f14ddbd, 0x451c3b57,
+    0x14df9c29, 0xfed79c71, 0xb3c6b84f, 0xeb2632a5, 0xb8e8ad8a, 0x01bcbd87, 0xa3ac3731, 0x951664e8,
+    0x6abdbb79, 0x6a497637, 0xef0f6007, 0x3c1908e2, 0xe080ef55, 0x27dada51, 0xbe0b7c5e, 0x7ceec341,
+    0x8efb5e80, 0x01c50996, 0xbc990721, 0x4fb584bc, 0x27c9066e, 0x5666cb9b, 0xde4c9273, 0x1b5e26bd,
+    0x57220453, 0xe66d0afa, 0x6dae659e, 0xc73b827c, 0x9f022279, 0x4df4e4aa, 0x27cc5c5c, 0x610763dc,
+    0xd2a69783, 0x3d643c61, 0xac4a40b2, 0xcf8192a2, 0xabe6fadb, 0xfcb48462, 0x72db261b, 0xe8cb804c,
+    0x6011c9f1, 0x89a9691d, 0x0504a966, 0x4efc9ba0, 0xd8278110, 0xdd2ebb2a, 0x86d938c0, 0x46e93fcd,
+    0xd1cca109, 0xcd3b273e, 0x971ea4c7, 0x70122bf2, 0x2484edab, 0xd0617da5, 0x31e0eb63, 0x4cdffa18,
+    0x2f5156c4, 0xb6b462df, 0x28df8d51, 0xecf11c42, 0xc06c6169, 0xdaeee564, 0xb3ea7f93, 0x3f4a957b,
+    0x41fa53d0, 0x746afd8e, 0xbcfa06c9, 0x96bed7a1, 0xd6101e6b, 0x626afda0, 0x753e1efb, 0xe5acf47a,
+    0x51f5396c, 0xd5f320da, 0xeb507e9c, 0xf560a697, 0xe3043978, 0xe4198f87, 0x521788e5, 0x9bef336b,
+    0x13c3c5dd, 0x0af48a49, 0xce6a2bd9, 0x03d2ea71, 0x2cc3bb7c, 0x59d05c99, 0x47d1106c, 0xca06f4a9,
+    0x547c876c, 0x93e17fe5, 0xd0b374bb, 0x7a8924c4, 0xdc917a9d, 0x62b20f3a, 0x037f4ac4, 0xaf77d8c6,
+    0x68fd96b6, 0xf336339d, 0xd660fd32, 0xe469c791, 0x40f5a56e, 0x0ce4cb4c, 0xc9ec550e, 0x1b85d611,
+    0x5039df56, 0xe1826fe3, 0x7053b6ce, 0xd7b84cb9, 0x94d38e6d, 0x2939b8ed, 0xe7abbdc8, 0x3e0254e9,
+    0xb3836f9b, 0x52e4c9f3, 0x9931a19a, 0xae99482f, 0x705f39d8, 0x4c7aa9c2, 0x0535f550, 0x10a7ed55,
+    0x3687347a, 0xf5be12a7, 0xa1096c1c, 0x998b0b45, 0x61c20ff8, 0xb3698041, 0x2d154fde, 0x7e8430b4,
+    0x355c60df, 0x43114dbb, 0xdaad5687, 0xf3957d91, 0x327a3983, 0xa784f3e3, 0x74989884, 0x30855a76,
+    0xd7f81e1a, 0xcdc3fe36, 0x2a043534, 0xa01dc0ea, 0x7e4866a8, 0x0f71954c, 0xd4f8fd0b, 0x0bd8640d,
+    0xd40d62a7, 0x6be09243, 0x7644436b, 0x25a0dec1, 0x1a3ab31b, 0xaad703a1, 0x17f5c4eb, 0x7796bec1,
+    0xae409028, 0xd6b2ec6b, 0xae47f9cb, 0xa9155e56, 0x8a9183f7, 0xe44b4a45, 0xfd9cb12a, 0xae9b4fb8,
+    0x3ff38f7f, 0xc398d854, 0x35178ae1, 0xb2009684, 0x6827ae0d, 0xd729fcb4, 0x3eea8dcb, 0x8d87678a,
+    0x47dac879, 0x1e50173d, 0x64779c86, 0xfee2e00f, 0x3dbeccfe, 0x9a565cf4, 0x16344af8, 0xd896fb12,
+    0xb8b1bdf8, 0x8c029d98, 0x2d525f2d, 0x9fa54c6a, 0xdcd89871, 0xdf1c35fa, 0xd4eddf1f, 0x0361303e,
+    0x3aa8f946, 0xb6b35031, 0xe5c8fa82, 0x894a45d6, 0xe3c4b8d5, 0xa8ea9ef0, 0x46e4fbec, 0x1bc70f63,
+    0x9c1ee4d3, 0xf3a3aa8d, 0x30f23d55, 0x9c2ff29f, 0xc10ba4f3, 0x642aa17c, 0xd0d3dcfb, 0x487df848,
+    0x9f2c430c, 0x86448543, 0x9ec11623, 0x49302fc9, 0x67d9c09e, 0x3755fd92, 0x5d6dc2ea, 0x3ccd9271,
+    0x8be07a91, 0xe3a2679d, 0xa40037a8, 0x8d38e4e2, 0xed825f74, 0x5cf6fc04, 0x8883b4a9, 0xa90e197b,
+    0x3f852ce9, 0x4f40886f, 0xadd0a9af, 0xaceab4c8, 0xc0b4980d, 0x2c4e2bee, 0x1015b21b, 0xc4984d91,
+    0xb0f6a1d1, 0x29770d1a, 0xf1ce3b2f, 0x4cd48805, 0x805bb3fc, 0x72636721, 0xe1935a2c, 0x626c699c,
+    0xce8acb77, 0x62058bec, 0x42941437, 0x3735a10a, 0xcb31d5d4, 0x47085183, 0xc957001f, 0xdbe77eb9,
+    0x0e287da0, 0xeb742590, 0xddeac8fc, 0xa68c1c75, 0xcba70eeb, 0x4221cb24, 0xbe396e48, 0xe5ac0e45,
+    0xf60b65c0, 0xe2d2e246, 0x4e95028d, 0xb7a021dc, 0xa4786899, 0xb073ce20, 0x9278d3ef, 0x75c4584c,
+    0xa15e8860, 0x9367affb, 0xbb63c3ef, 0x3a45777a, 0xbb3203b3, 0xcbbeeee4, 0xb70198f3, 0x5565775f,
+    0x1292e2fb, 0x82243886, 0x98a1e217, 0x594d33eb, 0x8e56562d, 0x3069896b, 0xd474ef83, 0x8558806b,
+    0x85db65cf, 0x66038281, 0xf05746f0, 0xbce3342d, 0x603e6e66, 0xbc085204, 0x5aa3ef54, 0x6ce605dc,
+    0xc25998ce, 0xaf68a67a, 0x121a7281, 0x5d711c4c, 0x26676edf, 0x63af79b5, 0xbe3d6460, 0xd316ba53,
+    0x904eb6ee, 0xc4128cb9, 0xe848bf6c, 0x64786d89, 0x8dc45b36, 0xaaf2d81b, 0x09d540d1, 0x8b0b0ee4,
+    0x9867aaf4, 0x91176793, 0x85cb2e94, 0xd35ba18d, 0x16fdb427, 0x6e76a6db, 0x8c42a5c5, 0x216b4109,
+    0xc9c682a0, 0xf912782c, 0x86b99799, 0x1b65f95c, 0x3aa8b03c, 0xb196eb4a, 0x1431e3ba, 0x477af19f,
+    0xb7ecd302, 0x1d656096, 0x724372f4, 0x1f43740c, 0x46d56a56, 0x279a7acf, 0x35580bac, 0xa01039c8,
+    0xf5f54483, 0x03b180be, 0x8c3e2b57, 0xc68f91b6, 0x873f02c2, 0xe3743541, 0xb101e789, 0x2d94cbe9,
+    0xc66cebcd, 0x6fd66370, 0x592ba208, 0x08471842, 0x91f05c8b, 0xdf437997, 0x51dac86f, 0xca0c2a67,
+    0xfc53bd4f, 0x0c89f152, 0x44ee7f45, 0x25fba3d7, 0xfb75ae9d, 0xd3a4fdb8, 0xf4ada8a5, 0x9494b818,
+    0xa7b44f99, 0x3da5ee1f, 0xe15489ff, 0xef7eeeed, 0x4bb74f1a, 0xc929408c, 0x6d47a43f, 0xdd91ef2f,
+    0xc54d93c4, 0x975e5ec8, 0x1c8fc3a5, 0xa3b71676, 0x4cbd063f, 0x2df38aea, 0xe6154b77, 0x0f2abc8b,
+    0x7250e55f, 0xa432e033, 0x6ed459c5, 0xfeddeafe, 0xa2d39af1, 0x8592cc65, 0x524b6c48, 0x2043b8a9,
+    0x6e2b1358, 0x8285dd29, 0x6a6fae1f, 0x2edffb3d, 0x8536a7bb, 0xf8c6bb18, 0x133b0fb5, 0x5e4d8392,
+    0x8a4f7493, 0x19747879, 0x09e1055f, 0x4941de95, 0x2d7065cf, 0x184868e4, 0x2b0a98e6, 0xc70529f3,
+    0x26e3d507, 0xb793fda1, 0x1e7c5eb3, 0x19767820, 0x08b01d65, 0x74aa3867, 0x89b3d7a5, 0x1be0a4d6,
+    0x4e815027, 0x264dc6c8, 0x9f6bb800, 0x0c7b2fbb, 0xec26a8bc, 0x01aba914, 0x7da2ee31, 0xd07f5f72,
+    0xdd8614f4, 0x132b253f, 0xf87ecd77, 0xb8ebb091, 0x42ebffb9, 0xe486b515, 0xa8b5efb6, 0x2a7846c0,
+    0x39e94ff1, 0x699d67c3, 0x963c9441, 0x889c9d63, 0x6608492d, 0x008a0297, 0xce2d9bc8, 0x51733d04,
+    0x6f2e3e43, 0xa243e8a2, 0xfb62c2a6, 0x38617db5, 0xc767f1fe, 0x63287561, 0x9dfaed84, 0xb61e3c4a,
+    0xee728d41, 0x849ab1b9, 0xf7ebcaa6, 0x298420df, 0x586db70c, 0xc12dcf23, 0x691fcaac, 0x1346ae09,
+    0x3b0ea902, 0x063c376c, 0x73b17d24, 0xe27cdb92, 0x037ccd0d, 0x217b7532, 0xd16e6de6, 0xc6a04b86,
+    0xc051d77b, 0xca8c0898, 0x0e926892, 0xc9ff9609, 0x9b8b9762, 0x36fe87df, 0x719ac4df, 0x70307e84,
+    0x8cc98d08, 0x675c6b16, 0x49a7d418, 0x8ef9e249, 0xb7c0f37b, 0x2711f7a8, 0x5e732baa, 0xb97e9319,
+    0xea813542, 0x7fc7ae8a, 0xc4d45e9a, 0x9507d07d, 0xc4fddb4b, 0x544dac97, 0xb571ac5a, 0x8c1465e4,
+    0xb57dee33, 0xb33675cc, 0x8a890313, 0x26da106c, 0x8cda8994, 0xcd7886ec, 0x2e7e5704, 0x78ef1d8d,
+    0x72cca01a, 0x18b02735, 0xaa2adbea, 0x39c743cd, 0x7e6e0f53, 0x52ad7b34, 0xd68e8bee, 0x355e8215,
+    0xa7cb4a77, 0xaa002b29, 0xdbcf0dca, 0x60ddeff8, 0xa823c707, 0x9ee66087, 0x04faabb8, 0x7a0c6def,
+    0x35758b49, 0x7a006a22, 0xba14afd3, 0x351e59de, 0x1c9dc1fe, 0x72a547c7, 0x3e23b998, 0x59ed96ef,
+    0x7879d67d, 0xa1f2cc52, 0xf56d7357, 0xcee8d4b2, 0x6430c4d3, 0x0dd840d6, 0xc39abea3, 0x837b0a84,
+    0x03e1267c, 0x54dbe4f0, 0x3c8eca98, 0x84f5756c, 0xda977f55, 0x0b53795a, 0x3ed80822, 0xce307f6c,
+    0xfc62def7, 0x655fa102, 0xd648dc54, 0x4ba868fa, 0xae73d7e4, 0xb87e6405, 0xdf07402f, 0x321728bc,
+    0xaa056e9d, 0xa74059aa, 0xf46dcf2f, 0x34173a34, 0xcc8f1dd1, 0xb1b94ad2, 0x0d69250e, 0x8c57ef73,
+    0x2254199f, 0x9ae4a981, 0xa55566a4, 0x7b88d643, 0x9d260da8, 0xc2d42c03, 0xb94aa679, 0xc3b6cd27,
+    0x24a7b157, 0x8a3882df, 0xdfd8db80, 0x77a55d0a, 0xe9903164, 0xc540e956, 0x2dc5def7, 0x7bdec767,
+    0xbf20cbcf, 0x676d1ca5, 0xa27b939c, 0xc4187297, 0x3a4c67dd, 0xa29eb021, 0x19eb1979, 0xdbe05e00,
+    0x941edb80, 0xc59ff055, 0x566fba41, 0xaf011f6c, 0xa9aa5fd1, 0x55c2b6a2, 0x84711abe, 0x74df96bd,
+    0xc1d402af, 0xbcf9a9e9, 0x414646d4, 0x36609888, 0x28f2cb38, 0x3f9e653a, 0x04c4eef5, 0xa9db5b5a,
+    0x133a13c2, 0xb6bbc583, 0x0155d339, 0xa2eae867, 0xb8100c5a, 0xa9ed9c4e, 0xb0be7d9c, 0x4c07e8ca,
+    0x97d4d81f, 0xa1b5c39d, 0x441ac563, 0x5f71941a, 0x4d0e079d, 0x0ec67169, 0x63c6022f, 0x032e7672,
+    0xe1a93a52, 0xc014bcf5, 0xe2ea8a3b, 0x9a2236a8, 0x41ff9380, 0xa3ef61e7, 0x96c16ef4, 0x14e09b49,
+    0xf2880864, 0xfbaf6e02, 0xb4ea29c5, 0x2917075f, 0xa1f6f6f8, 0xb0384d98, 0x0d982cc5, 0xccfe6bdf,
+    0x216c9d27, 0x48761646, 0x9d149862, 0x596d4288, 0x2161fefa, 0xba0d5ce7, 0x96ac1ffa, 0xa95c6133,
+    0x8fd8eec6, 0xba70b2dd, 0x2c13c2bb, 0xdb18b6a2, 0xfcab7546, 0xf003a740, 0x0e6ab20e, 0xfb0dc00f,
+    0xe42a063a, 0xf9a0b9e5, 0x630acb99, 0x200a5845, 0x58a906bc, 0x14ca3db6, 0xce3f82ca, 0xfb26efb0,
+    0xd254ef0b, 0x9a61d96d, 0xa994601b, 0xb17cc93e, 0xe75c6a04, 0x88a837cb, 0x1cfc342f, 0x78fb2ff0,
+    0x2312ac16, 0x69a01fba, 0x546fed14, 0x42310d58, 0xdaf290ba, 0x33b28364, 0xc307bfcb, 0xc8f6be6e,
+    0x08f83c07, 0x6d78d7a5, 0x7d5dc9ec, 0x0fb797f4, 0xc4ff0003, 0x2fbaab3f, 0x93f66356, 0x9ae2f046,
+    0x61175416, 0x296a73a7, 0xf426550a, 0xefe9885d, 0xde8ce9b3, 0xfd1292a7, 0x1409fed0, 0x72d650ca,
+    0xf33742cc, 0x533f62ed, 0xbf44a717, 0x6b369e41, 0xecc65b77, 0x4cbe7432, 0xeba17390, 0xbbb2ce19,
+    0xe5faaa06, 0x73493ff9, 0xf3283b36, 0x722d149c, 0xede1806c, 0x7940081e, 0x5c08f776, 0x1ada8d0e,
+    0xa934c538, 0xd4b9e7e0, 0xf709b247, 0xd18cd16d, 0x462a0a1b, 0x4d2cbc69, 0x53a5f675, 0x56be085a,
+    0x10970c8f, 0x5202ea13, 0x1e0d1318, 0xbb06cb36, 0xc5d3f0d9, 0x52b3a239, 0xb83f2bef, 0x024b538a,
+    0x772a60e8, 0x1dad64fe, 0xda111730, 0x53d5d4d2, 0x47f51042, 0x4d735e97, 0xccde7ca1, 0xefda6a9b,
+    0xe7cbcb62, 0x650ac693, 0xa00be07e, 0x019cd83e, 0x021e410a, 0x73ad17d8, 0xc72a9da3, 0x180d69fc,
+    0xbc3978b1, 0x1e2e7544, 0xd791bb2b, 0xdf4d8573, 0x317a773b, 0x0f4549ac, 0x7707faac, 0x486d579c,
+    0xc5754049, 0x0cffd654, 0xbc0fd124, 0x6dfc4ae4, 0xdd6c809d, 0xd3716b48, 0x10e57ffd, 0x1b97c605,
+    0xb021c69f, 0xc1cc7622, 0x2dded0a8, 0x7abd4f9a, 0x0db6e495, 0x4b283880, 0x9f797071, 0x0f9cf64e,
+    0xbbd386b0, 0x3e6a38fe, 0x5ca5d7c3, 0xdea190fd, 0xcd82c57e, 0x576251d4, 0xb7fdbd16, 0x2d2f47f1,
+    0xb980d990, 0x0ac29ea7, 0x99feb2b8, 0x5ca7a727, 0x49ae0cfd, 0x223fccae, 0x12ae552b, 0x516bbabb,
+    0xd1c4fb40, 0x4a4ae274, 0x0f0b1919, 0x01e36672, 0x48d6b452, 0x087cf14d, 0xa902efd2, 0x4b2dd634,
+    0x00000000 }, /* 10**00000000000000000000000000000846151640051518206658451594281946930980357994194\
+                         27996068435045795123941278247852265624218936283556460491675139202989862944768 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe,
+    0x37b3ad4e, 0x91b6ac80, 0x82e7859d, 0x06650fde, 0x9dd51f3a, 0x3e24beab, 0x63ad0bd6, 0x1435ee47,
+    0x00000000,
+    0x81e26897, 0xf7b7a47d, 0x7ba3743d, 0x8c1a83ab, 0xb79a3eaf, 0xea883106, 0xba5773e7, 0xd036173c,
+    0xf80c4a98, 0x91552f9c, 0x4bd3ae4f, 0x0589c44c, 0x7bf09bc3, 0xce98bb2f, 0xc9224da6, 0x2a529fdf,
+    0xa5d506d8, 0x3341f6ca, 0x91677daf, 0xd1f67e7e, 0x57b43c5c, 0xf34a0268, 0x1392a27e, 0xf02e328f,
+    0xf18aa5ef, 0xdc4091e7, 0xa82ccfea, 0xf9e6c1bb, 0x56e6baf1, 0xe3e26c35, 0x26707b53, 0x9856dc55,
+    0xaff903b2, 0x4bf34186, 0x6b92e6a2, 0xb7e2a050, 0x0af14294, 0x55c2ca73, 0xc602af3c, 0x402641b3,
+    0xbc073289, 0x3f922da5, 0x3df00788, 0xc6eae869, 0x2b95cae5, 0x796ad56f, 0xa905b5f6, 0xda4bc54d,
+    0x79840032, 0xf5addfa6, 0xc12f3120, 0x6836016f, 0x79b9d453, 0xbb066e90, 0x1248c40b, 0x73f8b4c3,
+    0x5f91debe, 0xc86b98a7, 0x77643d0d, 0x37019154, 0xb5bcd8c4, 0x53137cf7, 0x544c1529, 0xda3945ec,
+    0xf2d696ee, 0xf0e0a0ff, 0xf9008081, 0x257ba770, 0x7d530755, 0xd4a7a890, 0x52a012da, 0x8f7c4168,
+    0x6998aa1c, 0xebbe2f5a, 0xaaab06d2, 0xf4f86973, 0x46e56a38, 0x0b9fbbbb, 0x67d93ec9, 0x3cfefe46,
+    0x247418d9, 0x4535e5f4, 0x67fcc7ed, 0x04c21505, 0x050832fb, 0xd66f73c2, 0x4c75d30a, 0xcda7b421,
+    0xf619b49d, 0x5de549dd, 0x2eb7a935, 0x3b42bfe2, 0xd55ff3cc, 0xb77ed56e, 0xebbbd5a3, 0x9e6e8564,
+    0x26c4669c, 0x8190e211, 0xae59b837, 0xb5206b2b, 0x0f90ba03, 0x5500b83f, 0xea9c8f0d, 0x3b01e91f,
+    0x63354e8d, 0x589519fa, 0x900b2194, 0xf7958250, 0xcfe65f20, 0x385e39db, 0x30278d14, 0x7a06a441,
+    0xa09c613b, 0x64e850a4, 0xbf23e032, 0x062d425b, 0xd9717a93, 0x57d68ae5, 0xee901afc, 0x1e61da92,
+    0x25228f54, 0xcef14abf, 0x55fa32c2, 0x8f31a0bc, 0xdfdc1d73, 0xf64546d3, 0x8e2170b9, 0x400aa084,
+    0x5817dc18, 0x599af419, 0x0f0b1575, 0x0f7ad54c, 0xd1a6c530, 0xdd0322df, 0x22c3e175, 0xac141b16,
+    0xe5702a9a, 0xe28bcc95, 0x758d991c, 0xe03f78c2, 0xff52ebb5, 0x619a70e0, 0x4cb4d6c9, 0x4bab47af,
+    0x6b8ceb6b, 0x00badf60, 0x889fed33, 0xaac1df3b, 0xf180c04c, 0xdbffff88, 0xef2bf7ec, 0x25a70190,
+    0xb42da5cb, 0x2842afb7, 0xa1ec2276, 0xa8a02b27, 0x6d117eed, 0xb5b90861, 0x6fb41fee, 0xc78b88ec,
+    0x6a569645, 0x67c4a5ae, 0x8703ed08, 0x8e94f6b4, 0x521a12d6, 0xb215b92f, 0x1dc0cddc, 0xe84b74f3,
+    0xce6a14a6, 0x76949522, 0x977bb3fd, 0x02a2adf5, 0x398513c3, 0x990853dd, 0x0b620279, 0x3af87b9a,
+    0xa3e523d1, 0x16545f2c, 0x4c0d34e0, 0x97bfffc4, 0xce659d96, 0x4f51c961, 0xd05404bd, 0x0b2484c8,
+    0xb7a1a8ec, 0x6260b02f, 0x2771145c, 0x2b6630a5, 0x62262152, 0x665d5349, 0x20715d1c, 0xdfc93606,
+    0x19d90cac, 0x626f9ba9, 0x530d3bb0, 0x973afa74, 0x13039c6c, 0x47fcb880, 0xc6468341, 0x8a9f8c10,
+    0x5ee16bdc, 0x740f0e84, 0xca552ad0, 0xc0c033c5, 0x1ca6d7d5, 0x58c38106, 0x104c66f7, 0x60f9a975,
+    0xe90e760c, 0xbf0e8813, 0x7e54c9db, 0x591d959a, 0xe7b8d2bf, 0x63f28a0e, 0xe98a7714, 0x896b96f5,
+    0xb7467c7b, 0x01ce0664, 0xfba19e6a, 0xed986f49, 0xac740f1a, 0x5f27dd18, 0x27a87b80, 0x3ce210eb,
+    0x2be29c62, 0x5029fccb, 0x6e0829e3, 0x4909cb2c, 0xe50f14d8, 0xb7ed2081, 0x7d5a322a, 0xfd1c21bc,
+    0xbdb19ab9, 0xd464ebe9, 0x611a1fbc, 0x14af0089, 0x0afe71ff, 0xadc9adb3, 0x62398980, 0xdcd67e72,
+    0x2fade793, 0x1727a457, 0xbfbc5dd9, 0xd0ecf4bd, 0x68cc7b25, 0x94101fdc, 0xc7ce102b, 0x54daa226,
+    0xbcf1e0c2, 0x69440ce9, 0xeb7b19d9, 0x255c304e, 0x221ac914, 0x4cfd676b, 0x6987c774, 0xdfd0e139,
+    0x63aa6e02, 0x95663123, 0x941cd5cf, 0xa3004a07, 0x6a867a86, 0xfb1cd52b, 0xf81588ee, 0x40599339,
+    0xd574a9dc, 0xdead1751, 0x64939b11, 0xcfc5e8dc, 0x509d579b, 0x2b5b1533, 0x01485b24, 0xaeadc951,
+    0xcad719a2, 0x3b36c8a1, 0xa7bf7289, 0x508af03b, 0xc187151b, 0x7720a010, 0xa65ef212, 0x9a029a3a,
+    0x125dd380, 0x7655b977, 0xced31260, 0xb081cfcb, 0x84d9ec98, 0x63bf2633, 0x9fbfaf6a, 0x2e9b3e23,
+    0x921dc775, 0x7114faf1, 0x7d406668, 0xdb87fee6, 0x408690c4, 0x76208583, 0x4a7bf523, 0x2c94e66e,
+    0x4fab097f, 0x2813a027, 0x9977e074, 0x4b5c16df, 0xf410e8d4, 0xc66c8688, 0x54b08d4c, 0xd67ec044,
+    0x5d0d4e58, 0x7b732bb2, 0xd42c20d8, 0x41a41256, 0x89a3a6d6, 0x5617a954, 0x88d0fccf, 0xac01461a,
+    0x440fb939, 0x054c2ece, 0x639f9a13, 0xa1b37d4a, 0x75a25228, 0x4b0ff5d7, 0xf4c7e93d, 0xab42f7c7,
+    0xcdf32560, 0xeaf9ffe8, 0xdeccb919, 0x4066f9c1, 0x6dd77de0, 0xb549cac6, 0x2bd5049d, 0x2700dd44,
+    0xde71a482, 0xba8b7db6, 0x8b10bde9, 0xfbe2db47, 0x7d70f27c, 0x0c3f9d7a, 0xff42a31c, 0x92da4793,
+    0xe9116e78, 0x8e3d5abd, 0xf731f8e9, 0x2aa4b9a9, 0xad7d8ee1, 0x26996f9e, 0x7f12526b, 0xe3cede0c,
+    0x810e7350, 0xd9384ded, 0xeb56b898, 0x4ccf9141, 0x73b52973, 0xd261155c, 0xcbf7989e, 0xe626ee4c,
+    0x8ebaeb4f, 0xf7cb5a0b, 0x43644ea2, 0x1a166a4c, 0x11ac4128, 0x134a551d, 0x73bda8f6, 0xff1bd2e5,
+    0x8dfd0b82, 0xeadfa9ac, 0xfa286c2d, 0x656c4abf, 0x4b18498f, 0x29e9d16d, 0x474583df, 0x8033af3c,
+    0x8062e3b9, 0xfe8148cc, 0xfad9581a, 0xcb50f5ea, 0x6a0575d6, 0xb7f0df45, 0xa9542102, 0xac39a306,
+    0xa63828b8, 0xb06b3b3a, 0x96aacd10, 0xa0800d1c, 0x6cb1ecb5, 0xa49e5445, 0x63cd3704, 0xea6aa557,
+    0x23a42657, 0x0ac8d85f, 0x7b769c27, 0x2c8970ef, 0x8057ee63, 0xd214caa9, 0x93926bca, 0xf831d479,
+    0x046e7215, 0x9b6fb59e, 0xe5378bf7, 0xab390b75, 0x531c76c4, 0x7bb8bf7c, 0x2532dbe1, 0x3d3f66ef,
+    0x48561e36, 0xbb0244d2, 0x013b10fd, 0x1889e63e, 0x99f8265c, 0xde6b4d1a, 0x63457872, 0x3995542d,
+    0xf5642c21, 0x925edaf2, 0x253f1e25, 0xedbfec5c, 0xa083ba3d, 0x163c72a0, 0x9dba830a, 0x65f45974,
+    0x7819a5f1, 0x6d50e6c3, 0x3eeb8843, 0x1027c3fb, 0x7c1abb9c, 0x9df8ec97, 0x2955e0a8, 0xa8edcdfd,
+    0x723b8a6c, 0x02f1922c, 0x98642263, 0x06039df4, 0x634b0b68, 0xaa6da7da, 0x8bc97ba2, 0x705dcf05,
+    0x82bd66b1, 0x459f4c58, 0x4ae6e8c3, 0x51599bd1, 0x84929167, 0x5bb25fb5, 0x8787064a, 0x291d7bc1,
+    0x7c8424c9, 0x34e25f08, 0xda312865, 0x07a97559, 0x66c7a82d, 0x52768432, 0xe467d4ff, 0xe9b178d0,
+    0xf9168d84, 0xeb8b5fc9, 0xc5753417, 0x029db4d8, 0x6a11cc2c, 0x16e1dd65, 0x7d2f49c6, 0x7abf1300,
+    0x1173e2d4, 0x9ad2892b, 0xd2e29a8f, 0xc7ec0ef2, 0x3c59238d, 0x2fab460f, 0x73882ed5, 0x5c8a370b,
+    0x151cea7b, 0xbfe867cf, 0x462471df, 0xf96022bf, 0xe928614e, 0xbb1b6306, 0x23a0b1ec, 0xdfb7e002,
+    0x8814d0ed, 0x21633c7c, 0x6d8a9236, 0xa9fcce08, 0x3f72e1dd, 0x946bded1, 0x8c2c566e, 0x3a3329f5,
+    0x3f6f1f3f, 0x00426700, 0x871420e1, 0x0a240233, 0xb2b79d58, 0xb86ab214, 0x6469761a, 0xf36bb1cb,
+    0x10659e01, 0x805ddb94, 0x898ebb71, 0x56c6d2f0, 0xac7baf21, 0x4600e293, 0xe42311e0, 0xcc67e483,
+    0x256ef8e6, 0x1f697ef8, 0xa5edd229, 0xdb9fc0a4, 0x2ebeef7f, 0xd5598200, 0x4946312b, 0xe320cc0c,
+    0xe9ab8fec, 0x9bd59ab8, 0x7371a8cd, 0xc5b86fb7, 0x31235fe6, 0xfa895667, 0x1bd97524, 0x1272e73a,
+    0x8257d548, 0x42e68267, 0xafa0c187, 0xd38bfac0, 0x65e60de3, 0x89684257, 0x9b901a7a, 0x4af54044,
+    0x21cc9be9, 0x82bcce3a, 0x531e4d15, 0xdd1ea6bf, 0xf312ef92, 0xfa89f2fc, 0x2b52daeb, 0xc93eea5c,
+    0x534d115b, 0xc7298f0e, 0xb94abed5, 0x25f3d69c, 0x02e3abf6, 0x857c6e97, 0xae22af77, 0x6dcb3229,
+    0x5cde96d1, 0x4f09b771, 0x1f65a973, 0x4ca38057, 0xf569278d, 0xe049389b, 0x9ce6ec86, 0x53364546,
+    0x7c705ae6, 0x679dd6d7, 0xc609ffae, 0x7a8cf620, 0xd6d29c46, 0x3bc8f5fc, 0x0f23b138, 0x497ba14d,
+    0x1b7abc5e, 0x49410c30, 0x19d606e9, 0x3deed572, 0x6fe6b8f2, 0xc999a7f1, 0x8b527773, 0x98a1830d,
+    0x3ffe2b01, 0x4ca7aeec, 0xa3d25950, 0x84402580, 0xce3785c9, 0x1488f8c9, 0x94d39122, 0x18be54a9,
+    0xb5981d70, 0xd8234281, 0x3718cfe6, 0x2189a27f, 0xc747643b, 0x55202b91, 0x197ce156, 0x41945215,
+    0x540cb88e, 0xea0e8640, 0x4b98a46c, 0xfdf0b7fe, 0x44e59027, 0x4e80f22c, 0x4784d621, 0x4a0d6fc0,
+    0xbb4df5fd, 0xfec9ab72, 0x39739495, 0x89151919, 0x6e541458, 0x8bc64af9, 0x8948e6c8, 0xe1d56eda,
+    0x89f80dd1, 0xe583351b, 0xd3a85b72, 0x285bba6e, 0x4374cf48, 0x44e6487c, 0x42fac19a, 0xd4c765a6,
+    0x5788d334, 0xe07aa120, 0x88fd61bc, 0xa1e47671, 0xde687794, 0xb7417f44, 0x584e7eff, 0x520925cc,
+    0x46ca2a92, 0x55d0508c, 0x48999835, 0x7df8e852, 0xa95db8fa, 0x8c5442b5, 0x6f22d380, 0x0666fb29,
+    0x9bf314fb, 0xf0310980, 0x1ef9c33d, 0x4f732c45, 0x86f7b381, 0x77dd752f, 0xc212a317, 0xac40f81a,
+    0xd121dc6a, 0x6b1001ca, 0x2b18597f, 0xe3ef634b, 0x53b6e610, 0x4fe53f54, 0x360ca170, 0x8b1359de,
+    0xbd89f8e0, 0xe75a3691, 0x087d1784, 0xdebcecd3, 0x10253607, 0x956851fe, 0x1be12f09, 0x277c6194,
+    0x9bc8253d, 0x52393380, 0xa625da28, 0xd346d06f, 0x607d0569, 0xc1154cb8, 0xd45cc14d, 0x73f01fa8,
+    0x9f3e290c, 0xe05ef247, 0x4ac7a9a8, 0x0f25490e, 0xa0846363, 0x15ddf4a4, 0x460b2f1f, 0x8bda9aed,
+    0x5cfafcf1, 0x6450a67e, 0x7a37dbaf, 0x1045d5bd, 0xb6c6ad30, 0xee2dfaeb, 0x650a60ac, 0x8aee6b16,
+    0xb9c0cac9, 0x71cdb253, 0x007164b4, 0xe194bf7d, 0x6ca7c3d7, 0x8f8c8a27, 0x9bd425d0, 0x5235ce9c,
+    0x63fbef47, 0x9ea4310a, 0xa78807a1, 0x473aa267, 0x8c1d06ba, 0x071a9709, 0x76880388, 0x6e6dde30,
+    0x25324de8, 0x5086bb50, 0x9b637316, 0x0bb343ea, 0xccb487cd, 0xe57b3349, 0xfc978453, 0xaef9c70c,
+    0xa5757bd6, 0x01f7d3f4, 0x37a24a15, 0x062f4cca, 0xd7e5cc21, 0x19b1b346, 0x584648ac, 0x50f383b3,
+    0x61880462, 0x818d1510, 0x7ad143ce, 0x1d22f9ba, 0x502c08a5, 0x8562b1f9, 0x32f0fd04, 0x879079ae,
+    0x3b719394, 0xfa6262cd, 0xc24ffb03, 0x3221cbab, 0x0d75dc0f, 0x3b78feb0, 0x685b15dc, 0x79158cbf,
+    0x152caf41, 0x9d28b1aa, 0x5104e243, 0xeeb1ad78, 0xb862ea39, 0x5e3adb1c, 0xe659cf31, 0xf1f58f05,
+    0x68ca37a4, 0xf8306dd2, 0xf07fe99a, 0x3b9b5d82, 0x891e2bba, 0x1442b78f, 0x187679cd, 0x86f6db32,
+    0x504b62f3, 0x6e44e977, 0xf7b5b76a, 0x48de9322, 0x0a29708d, 0x8252ba01, 0x8ee00873, 0xa6067708,
+    0x7fae6f5d, 0x2abf0c8f, 0xc6d8ec68, 0xcc697e51, 0x1a1e3506, 0xa92f2576, 0x1ef05f31, 0x002f4948,
+    0x6840a92f, 0x46fb11a3, 0x7e35aedb, 0xcaa39b87, 0x62ad1f1c, 0xc6a64a43, 0x0c559cf4, 0x3393240f,
+    0x4233e32e, 0xafca6ab8, 0x507dbad3, 0x55d3c862, 0xe6f623a7, 0x837be1e9, 0x33a3beae, 0xe2cf48e1,
+    0x9f927491, 0x91db1f9d, 0x4ef50544, 0xc834b014, 0x66c50649, 0xf47c2e3e, 0x1d2d4803, 0x965c87d2,
+    0x721752d5, 0xf9de09b6, 0x65ba7c60, 0xd3cf1ed3, 0x7dfc7d2e, 0x261b7415, 0x98f2c884, 0xade1b711,
+    0x8c973502, 0xeda2039e, 0xeef4d0b4, 0x47e0f38b, 0xcb6cabc0, 0x9a09f7db, 0x8175b994, 0x67cd2e0d,
+    0x818b9de2, 0x812e7d40, 0x01cf1e11, 0xcb04e4bf, 0xa164db08, 0x429fa889, 0xb5bf45f2, 0x705dd03d,
+    0x67c78587, 0xa0632fbc, 0xe3844846, 0xe775699f, 0x1099bb0a, 0x48fd51d3, 0x8a90d4c3, 0x2b08fff6,
+    0x79ba480b, 0x467fc91c, 0x3dc4c152, 0xd6502ed7, 0x2ebcd8d7, 0x20ae2c35, 0x76839e6b, 0x63383a67,
+    0x038cedfb, 0xaef6fd98, 0xd44371ef, 0xbe68e0de, 0xe33b7b00, 0xd82dd786, 0xf9eb13c3, 0xee2b3929,
+    0xe1b7591c, 0xe6e8e9e9, 0x813042e2, 0x91857d5b, 0x5c632b77, 0x1306b4ae, 0x3eda6210, 0xeed47710,
+    0xc51f8a96, 0xe0bd0e39, 0x767f190a, 0xc68087da, 0x5b8137b4, 0x75f9ac22, 0x6b4a56fa, 0xcc73da08,
+    0x38f0a14f, 0x4f2b42dc, 0xdd12d5f1, 0x8e44f9f1, 0x2d3c2ab5, 0x37d42bc0, 0xf850d0d3, 0x8baab975,
+    0x0f72a282, 0x1c4ee4a4, 0xb8c97974, 0x4ab34381, 0x10fc08d8, 0x031e7a01, 0x471d3625, 0xb81f81c6,
+    0x22b8bcc8, 0x0ce26cb8, 0xfff25767, 0x7c8659d7, 0xd3f37013, 0xc068d79c, 0x6b037a91, 0x413cefdb,
+    0x67b9a5c0, 0x26a535ea, 0x8858cad7, 0xe04d4800, 0x8341422e, 0x4c1cc103, 0x7f89b547, 0x80bf5091,
+    0x01aa3e95, 0xa52d7660, 0x2a906416, 0xc5dc1180, 0xf96b156a, 0x877550ec, 0x6c6e4779, 0x0b4363d8,
+    0x17483da6, 0x9884f68a, 0x343edc99, 0x4fdac1b1, 0xd2fffa26, 0x43c5cd68, 0xd3afc7ce, 0x526f4441,
+    0x064dbfcd, 0xb14a972e, 0x6d5a7743, 0x2a453de7, 0xa1b251f0, 0x2cb23e39, 0xd56823f4, 0x33ee3afd,
+    0x673b6fcf, 0x75d916e8, 0x3b9228c0, 0xfd9ac3c8, 0xc43a7bda, 0x514e595e, 0x703ad107, 0xb1094e9d,
+    0xd0b990ca, 0xefd7acf7, 0xa1c7968f, 0xb3083d3d, 0x667594e4, 0x4fdb002b, 0x55d7796b, 0x5c3163bb,
+    0xbc4960ec, 0x7642304e, 0xb4ef8043, 0xb2cfaff8, 0x0159c84e, 0x56724ad3, 0x264aa9ac, 0x680c4419,
+    0xb0a9a946, 0xf67f0089, 0xbff7d5d9, 0x914c8d69, 0x3346cae3, 0x04586e1b, 0x8b9cee68, 0x6c0298a1,
+    0x5ff1ad49, 0xe3dfad55, 0x6e4d3980, 0xc31c6e85, 0x2212c411, 0xdcdca90e, 0xd927a3e5, 0x8e555f55,
+    0x55ffb580, 0xd032d42e, 0xa233f4ae, 0xbcb75ce1, 0x9d6aed50, 0x187dd37d, 0x45048609, 0x7f9c722b,
+    0xcb0fa81b, 0x0b4dff4c, 0x4e90719e, 0x42f2855f, 0xd55312a9, 0x2b1b6578, 0x9fd57df6, 0x66084795,
+    0xf5abf463, 0x6445e8a7, 0xe726fa52, 0x4add26c4, 0x90a4e568, 0xca99f5be, 0xffe85694, 0xd3aa74e1,
+    0xa8284806, 0x9ba08312, 0x175563e9, 0x0c6cf461, 0x6b256faa, 0x5a63fa82, 0xb9f56aa0, 0x09536814,
+    0xaf4956c2, 0x7ab43220, 0x2481404d, 0x7dcd785f, 0xd14e8e38, 0xf3dd5c27, 0x22845a2a, 0x2e1ce71b,
+    0x47a7e221, 0x22854b64, 0xe44dcd05, 0x90438389, 0xaf892e80, 0xba8599e1, 0xaf36fbc0, 0x6bedf4aa,
+    0x92bb8cf1, 0x963781cc, 0x6b8a9b36, 0x0e1e815e, 0x3e658d77, 0x7c09d063, 0x5bea42d6, 0x4c541449,
+    0x34bd5d11, 0x90e44c83, 0x6c1a97ff, 0x0caee91b, 0x63c17d8f, 0x245b00d8, 0xf5ef78ba, 0xc2b93273,
+    0x2df0df20, 0x5e4d124d, 0x01d7f271, 0xe4d383c8, 0x8464e9cf, 0xbba4dde1, 0x343b9367, 0xf038a455,
+    0x2facf547, 0x25784cb5, 0x13ac9003, 0x7bbbe29e, 0xd0af82e1, 0xda2d3406, 0xa53efd88, 0x60a2d18a,
+    0x00000000 }, /* 10**00000000000000000000000000000423075820025759103329225797140973465490178997097\
+                         13998034217522897561970639123926132812109468141778230245837569601494931472384 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff,
+    0x1bd9d6a7, 0x48db5640, 0x4173c2ce, 0x833287ef, 0x4eea8f9d, 0x1f125f55, 0xb1d685eb, 0x0a1af723,
+    0x00000000,
+    0x80f052b0, 0xd59596c9, 0xcef2d073, 0x20ab8dcf, 0xbc50878a, 0x25f197a6, 0xbf5eb019, 0xe2e5fdfb,
+    0x406149c1, 0x7ee7f4b8, 0x2d814bb5, 0x2884289e, 0x795ee408, 0xa3aa23be, 0x06547318, 0xbd9d8ea1,
+    0x07484b88, 0x8af011f4, 0x1a8f9478, 0xa40d3906, 0xac240a7f, 0x3a191b1d, 0x345e6031, 0xb852def8,
+    0x147696ec, 0x8667c37f, 0x0a45e177, 0x623bc18e, 0xa374de86, 0xc37f92bc, 0x27d69bb2, 0x01e59e5f,
+    0x3fe5b6c2, 0xcbd3688f, 0x7d2c7b5e, 0xf6ae56e3, 0xa476908e, 0xcb33288c, 0x1603d2f9, 0xef8afbdf,
+    0xd2dc1ef3, 0xa6558f03, 0x292956f7, 0xb6b61def, 0xf1a639c7, 0x189b4e63, 0x88c03bd4, 0x5f8bdd3d,
+    0x21f6b72b, 0x0b36f7ab, 0xd25c66ca, 0xae2adce1, 0xee8fca63, 0x7be23764, 0xff5ea24f, 0x772a0fa4,
+    0x607f0538, 0x3cfaac7c, 0xe0b52315, 0xf6ee7aea, 0xbffac8c6, 0x8d1aecc9, 0xf3affafb, 0xea2d3741,
+    0x6546a221, 0x72998aa2, 0x3911418e, 0x04aa8d0f, 0xa24c0517, 0xec715bb4, 0x5687a2d3, 0x29522648,
+    0x9ea96e1f, 0x55f82e9f, 0xf0376532, 0xdb2c575d, 0xbbee1104, 0x4ec8169a, 0xfb7875a3, 0x61362c2d,
+    0xdad5e7b6, 0x0c471500, 0x39b37a37, 0x03f7d544, 0x0f2c5a38, 0x424d33b9, 0xa4ba85c1, 0x85340075,
+    0x3aecc198, 0x22fc8bd3, 0xf1b6733b, 0xc68d56cd, 0x9b8befb4, 0xbcaefe65, 0x2e9d818e, 0x212639f1,
+    0x20cc6105, 0x64708be5, 0x89c576e8, 0xb11c8661, 0x37acc110, 0x66577255, 0x2f82b332, 0x57f5c831,
+    0xb0d4ac65, 0x959eb3c0, 0x68fad18f, 0xa01506dd, 0xe4407137, 0xca3e1dd8, 0xdf65f280, 0x588fcd98,
+    0x914d306f, 0xd11eb7a0, 0xde11e8d7, 0x2e73d6f6, 0x0bb99de6, 0xb2f91110, 0x8e486f24, 0x677cd56c,
+    0xc0a49afd, 0x676c4cb7, 0x0de0651e, 0x9e490c03, 0x19b5e3db, 0x0f98b647, 0xb5db7924, 0xaf55bbf7,
+    0x044250fe, 0xd6825300, 0x46454665, 0xa3ee621a, 0x636feedc, 0xbc0b6e46, 0xfec105a5, 0x112a79cf,
+    0x5ab1e6f5, 0xf62c567f, 0xcce27dc8, 0x5f265bfc, 0xe81a9f32, 0xc895af61, 0x0012e74c, 0x785fae05,
+    0x7bdd957a, 0x04ab9fdc, 0xb2fa00c7, 0xe0940f24, 0xc87cfaca, 0x0b145407, 0x39bbcf8b, 0x0eb70540,
+    0xcdd4498b, 0x1e404eff, 0x900847f4, 0xa710f62a, 0x31b580a4, 0xb2655619, 0x4da8c032, 0x1e0263b6,
+    0xeeec84ca, 0x4faccf81, 0x015bef17, 0x03d5e800, 0x50d7311f, 0xddae9d6b, 0x8f636700, 0x2569c0da,
+    0x738708b7, 0xd0822752, 0xa8166ba5, 0x7a8f30e4, 0xc5f7e2ea, 0xa2794810, 0x9aa53e6b, 0xb5c1a1cb,
+    0x404ec892, 0x18b1f036, 0x426f374c, 0x2e37afe3, 0xcfcfba4f, 0xf96df3df, 0x121a8d3a, 0x2affb574,
+    0x82f226d9, 0xfa2dfad3, 0x2d133937, 0x9093e760, 0x524d8602, 0x953c832d, 0x239bf5c1, 0x70bc33ca,
+    0x185c2167, 0xa9e84c79, 0x6a565d34, 0x90bd7d73, 0xa507d688, 0xab93a9e0, 0x50b7512f, 0xc5a4bc37,
+    0x011c1c01, 0xfb917fb7, 0xf718eb87, 0x82ec3a04, 0xbe6370c9, 0x3b2649c4, 0xe1b19310, 0xce73f543,
+    0x3b12dd99, 0xcef98161, 0x106e9cac, 0x381dd69c, 0x3eeab39b, 0xff320780, 0xa7306b58, 0xd96ff68b,
+    0xc1fb90ff, 0xf1e51277, 0xf8c00c7e, 0x33808304, 0xeda6d9bb, 0x80d57033, 0x5644445e, 0xcd82c483,
+    0xac1463fb, 0xc75027cf, 0x789942a6, 0xa6999720, 0x331f89cb, 0x4d71cac6, 0x6a0d2ab2, 0x4a8223f3,
+    0x918e3cc0, 0x40cc9ec3, 0x7a21f854, 0x0132a440, 0x41f5c7f4, 0x6058475e, 0x660d457a, 0x73e918aa,
+    0x290afcfc, 0xdd849290, 0xe559c14c, 0x10f68055, 0xc3b2e927, 0x297a08d2, 0x2cc7b4bc, 0x0e8fdec1,
+    0x5a6cec69, 0x29639e85, 0x34ca1909, 0x613cdeae, 0x16afd39b, 0xada85daa, 0xfa194bd0, 0xa2b36016,
+    0xef528d4e, 0x46b16d00, 0x47a2ed5d, 0xd7d02278, 0xbd0d9767, 0x41d718ec, 0xa974c660, 0xd2f52341,
+    0x3ff3e4d4, 0xee77581b, 0xbfb8d88d, 0x2255bf2f, 0x0c0686ce, 0x7eada7ec, 0x982766c8, 0x9e0c46af,
+    0xf1ceb87d, 0x437e7cb1, 0x417272ba, 0x7f43c6b2, 0x97cda168, 0xcf9b43f7, 0x50ae71cd, 0xf1d5221f,
+    0x90eec2a2, 0x4e281d08, 0x1504e34b, 0x41444ea6, 0x37ccebab, 0x85502cf2, 0xe4c84eb9, 0xf5256943,
+    0x9fec7953, 0x652c0437, 0x471968c9, 0x4da886b8, 0x676a014f, 0x4e65bbc5, 0xbd3066f0, 0xe47e0a3c,
+    0x1168059f, 0x7006c432, 0x1285450b, 0xaa205a9a, 0x89f154b3, 0x13a4fac3, 0x2fed0aa3, 0x15edde0f,
+    0x50cc4d3a, 0xa777a64b, 0x70d9ac9e, 0x104857af, 0x0b157e54, 0x8da051ec, 0x43695d92, 0x540d1df3,
+    0xd5b18387, 0x4f2b96cc, 0x852a34f8, 0xe91f33aa, 0x9f80ee9c, 0xe60502ed, 0x81065f16, 0x03888252,
+    0x6cc3683b, 0x3c37791f, 0x24fd47f5, 0x821901b0, 0xcf0eb3f7, 0xedccce16, 0x1acf7472, 0x3cede92b,
+    0x13147cc6, 0x987aaea1, 0xd2657c1f, 0x5b4a13e1, 0xff0e8ad7, 0x00797408, 0x65842b9d, 0xe346a048,
+    0x79441c7e, 0xe7170ad3, 0xb868e4db, 0xebd99170, 0x0b4a6e26, 0xccbf3eb6, 0x91d80206, 0x0d6144ed,
+    0xd9f40ba9, 0x52fc5903, 0x65d2a0fe, 0xdcd1bacb, 0x3ec5bee9, 0x153df633, 0xcc1885e7, 0xd8ffbe7d,
+    0x4d7dd0a2, 0x3a3ac563, 0x13cb6585, 0xd8441a9c, 0x5c2cc86f, 0xa9e192ff, 0xb3381a2d, 0x7f097d2f,
+    0x9def4c73, 0x56839faa, 0x558ad681, 0x3ca06f58, 0x106f61a0, 0x209f27e7, 0x3b136de2, 0x0cb5828f,
+    0x61d0d931, 0x6b38d09b, 0xab1569f9, 0x9d22faf8, 0x00b3ccb8, 0x54c4a78a, 0xe6cb7572, 0x6ee37da8,
+    0x543ab801, 0x59e42d97, 0xfc84516d, 0x300c76c6, 0x217866dc, 0x0fa0eee8, 0xf39cbddc, 0xa7fae0bc,
+    0x902f747c, 0x4acf90a5, 0x29e5c4bf, 0x53a6dc0b, 0x7341285a, 0x0123312c, 0xcc3887eb, 0x48967f79,
+    0x74a1b96d, 0x117a94a6, 0x54431ee3, 0x4422cc32, 0x6f5933b1, 0x6e5d3737, 0xea8d55a9, 0xaefb49b6,
+    0x8fc49717, 0x31b05d5f, 0xdce3710d, 0xffa96c7d, 0x1c9d6c6e, 0x94418995, 0x846f3d9a, 0xa970b9e3,
+    0xc4428351, 0xa4db0cb8, 0xce4591db, 0x042fabbb, 0x5d70f849, 0xbe981b06, 0x7896f682, 0xd4b96868,
+    0x2b5bc7e4, 0xfe0f1c3f, 0xa5a2a0af, 0x892a6930, 0x83f2c41b, 0x357627d0, 0xc05ccdd3, 0x9f38110e,
+    0xd438e70f, 0x06f59351, 0x41ba5929, 0xd4eb5371, 0x4cf11b6b, 0xf9ee5bd6, 0xf00a4515, 0xd92143af,
+    0xc9fd9305, 0x8b5779e3, 0xd295311c, 0x08ec3952, 0xd6b7da75, 0x95022f17, 0x1a7bff24, 0x123fca0d,
+    0x1a86d617, 0x48412300, 0x2431a783, 0xb8133e62, 0x88816438, 0xcc75354a, 0xe2ddec18, 0x881d7be4,
+    0x3f4dfd3d, 0x49fe9582, 0x3ccd07b3, 0xda957b87, 0x3d5f23e2, 0x889d41b0, 0xcfa758f8, 0x770393ad,
+    0x892fd5d5, 0x4728f45f, 0x00b62965, 0xa36d72b3, 0xe74cbf01, 0x90c323bf, 0x5f4b0fc9, 0x8a898f56,
+    0x4a514d40, 0x8e7ce5c6, 0xd80e1b35, 0x9100be8e, 0xe002a870, 0xb5cc861e, 0x78ee33d5, 0xfb626e8c,
+    0xd5c71b58, 0x004f2418, 0x949c7c6b, 0xdbcd9ac4, 0xb41ff332, 0x6111fb4c, 0xf53937ea, 0xc4b51985,
+    0xd0fdb6de, 0x821f58ee, 0xe4803526, 0x912276ae, 0xda5846a9, 0xb5434ba7, 0xd8d450b2, 0x39888cf4,
+    0x31d5f001, 0x23cc2fb5, 0x47c2af44, 0xc59d25b8, 0x8ee727bc, 0xacd56ef8, 0x2cf55523, 0x4069a6c1,
+    0x95feee49, 0xb84d7d41, 0x903ca460, 0x7a7e1654, 0x239cbbdc, 0x833b5e48, 0x076dbab0, 0x7900daef,
+    0xedb1702e, 0xebd6612c, 0x8854d765, 0xf0861e52, 0x84025aa5, 0x9c66e07a, 0xd702d8cb, 0x3a458639,
+    0x806ad901, 0x9b2fd94a, 0xf8e77117, 0x77d7e602, 0xc9a536d7, 0xa0d9201c, 0x3af66cda, 0xc4e7a711,
+    0x708d67de, 0x410991c0, 0x8087c075, 0xe81bbbb1, 0x4a22a2bd, 0xa2faeabf, 0x00033a04, 0xc4d5e4e8,
+    0x625d6c85, 0xdb6f4797, 0xdda42836, 0x94a766e3, 0x6ee7ef0a, 0xc4126dbf, 0x80bb9e9a, 0x0f68f1a8,
+    0x6160cbc5, 0xe3ae3db8, 0xeed7dcbb, 0xf0ce57a0, 0x49fabd93, 0xcb8a4405, 0xf7a41e71, 0x5cd5e117,
+    0x2c1bcc05, 0x20cd9312, 0xe92c58ec, 0xc753685c, 0xe5f612d2, 0x19da3f25, 0xbe863f28, 0x451c25cd,
+    0xb8e81905, 0x21476344, 0x24b070df, 0x3c3fa2ca, 0xa2428a54, 0x0dd51b5a, 0x2803fe60, 0xd20637e3,
+    0x2bdb0094, 0xc9d6fb02, 0x89bbedf0, 0x7e949118, 0x33532aa5, 0xd1a27bc6, 0x4fd47cc7, 0x2b3dd650,
+    0xd36ace2d, 0x89d99500, 0x896f227b, 0x2263b1cb, 0x6bbb715f, 0xf004b6a0, 0x175748cd, 0xfdc18f9e,
+    0x2f94d9b8, 0x794990b5, 0x3f38d1ef, 0xf45772df, 0x3c42b9be, 0x211f006c, 0xf8494334, 0x4e4cc58e,
+    0xf742914a, 0x2fcd76b4, 0x6ee52ce8, 0xe8697a0b, 0x09050664, 0x53f26be7, 0xfd65bd37, 0xb60087a0,
+    0x395f447f, 0x230e47cd, 0x87a55c07, 0xb6da608c, 0xe1472c19, 0x994fb63a, 0x79f514cc, 0x7142af33,
+    0x642da27c, 0xcab8bf4d, 0x8f4e6eba, 0x9bfba7b4, 0x143b8aea, 0x1c499087, 0xcb25d47b, 0x2452e617,
+    0xa283eb34, 0x90c4e63c, 0x8d6e23ef, 0xa72cebae, 0x810e631f, 0xb812fda1, 0x9fd80e9c, 0xa0769060,
+    0x85fd3996, 0x7e51a1e4, 0x334b97be, 0x6f668dd4, 0x54f8186a, 0xf1700ff1, 0x4d5a90dd, 0x9955fb12,
+    0xd77629db, 0x7dd77294, 0x17ea1e28, 0xa0c348d6, 0x80c1516f, 0x46e1b460, 0xc28b362d, 0x3d16ea25,
+    0x18043bbe, 0x40ccb677, 0xe95d8bc9, 0xf7e7efc8, 0xf122c4c4, 0xe9c72a6c, 0xa4ebf82b, 0x1b353d36,
+    0xf41d41a9, 0xbb84f4a1, 0xa4fec5fd, 0xc38e5e00, 0xc17454bf, 0x155b23a8, 0x284459ab, 0xa8d70959,
+    0x1bc181f2, 0x533c3875, 0xd5d4a273, 0xa29c341e, 0x7f2f7f94, 0xcbac9947, 0x24c8bf62, 0xdb22ef11,
+    0xf9dee525, 0x0796c37b, 0xa73f1973, 0x745066f1, 0x3d2b1e32, 0x38758117, 0x6a84d1c3, 0xd9e530fb,
+    0xcf1c4937, 0x0811ca5d, 0x9ec7a746, 0x7bb970ba, 0xd09f34b1, 0xe17a2b59, 0x5d820425, 0x752a4430,
+    0xa7f7da19, 0xc8e3d50e, 0xcfcd9b47, 0x79caee90, 0x1b253d54, 0x10b12220, 0x1a737df5, 0x4fc06dc7,
+    0x8fce1991, 0xa8a9d589, 0x2f9ac6b0, 0xc8cc5ec9, 0x7416e52c, 0x6efc9ef0, 0xb8ff84b5, 0x30e16ea1,
+    0x97e417fe, 0xff0e3868, 0x15b8e019, 0x534d377c, 0x397778f6, 0x41cda861, 0x0f4ed48c, 0x5c22dc98,
+    0x4de31635, 0x968b7bbe, 0xd5ae1cfd, 0xd8d4597e, 0x7d13409d, 0xc6dfb90f, 0x562f7529, 0x3a68fea2,
+    0xa453ac11, 0x807fd07a, 0xc59cc950, 0xb5f95ddd, 0xf0fde477, 0xab17f51a, 0xdd0b524d, 0x8e61ad0b,
+    0xfb1da5ec, 0x6d280433, 0x21d5f8b1, 0x0af8e89c, 0xde2813c2, 0x0e9e8af0, 0x00566475, 0x258eaa4f,
+    0x4cf545bf, 0x45567bcd, 0x58086dd0, 0x3db37fcf, 0x4969b1a8, 0xf53620e9, 0xf1d8ac67, 0x185199d8,
+    0x883e3f33, 0xf913b15b, 0x9102e81f, 0x17d32e70, 0x0371ba0e, 0x3c635444, 0x092ed9bf, 0x0b7d147b,
+    0x674c63e8, 0x8bdc7474, 0xb61e3c84, 0x74b61fa5, 0x08f4b99a, 0x37c110b4, 0x03a63107, 0xeda472cc,
+    0x7ca4b045, 0x192c571b, 0x6f864c6e, 0x7ae5a404, 0x600d2b18, 0x586f0246, 0x60c70cc2, 0x3df39eda,
+    0xc0bd55a7, 0xdefdbcfd, 0x90c3b19b, 0x5cb47915, 0x90dfd2c6, 0x59c765ba, 0xd5fd3e86, 0xc0851834,
+    0x78de992c, 0xad3df8a3, 0xdba0df96, 0x25484dd4, 0x7367eb5c, 0x05c2afd9, 0x568b9f4d, 0xab34567e,
+    0xf3877c4b, 0x816b1235, 0x22893d88, 0x78a2b463, 0xbda4325b, 0x9f861375, 0x8d22a2b0, 0xfbd32c51,
+    0xe5edbd8b, 0x68836167, 0x90ccb565, 0x17a4c02e, 0xdbbb0081, 0x71cccd84, 0x3fa76a2c, 0x0db2474f,
+    0xdbcffa95, 0x722def99, 0x966e484e, 0x71371954, 0xe0352099, 0x958669d7, 0x44dc09ad, 0x3ddd8d0a,
+    0x1b7a18b8, 0x94e2d4d9, 0x78790c94, 0x30c2ffca, 0xef3d3245, 0xdd445954, 0x74b01c34, 0x4b388701,
+    0x67d31fbe, 0xe29a14d4, 0x9c47281d, 0x50e57af6, 0x008a23fd, 0xa8bfb8a9, 0xd46a05a0, 0x1c9fb5bc,
+    0x895ffaa5, 0x4a2a541b, 0xeeb6ec53, 0x11dde657, 0xa00ea383, 0xda827eeb, 0x2f82d1a9, 0x01ef6b89,
+    0x1515d991, 0xee15b47c, 0x9f5c7a65, 0x4160d811, 0xedeabac8, 0x9686fc56, 0xcbb15671, 0x4f4a1e5e,
+    0x638f80bc, 0x5949ebdd, 0xe0dfcf51, 0xa779ae1c, 0x0e882295, 0xd0760ad1, 0xd076f0bc, 0xe15aa081,
+    0xa995eae2, 0x7b8bcc80, 0xa7b4f027, 0xa1f4caca, 0xf4403319, 0xa2569ef8, 0x3e7a90eb, 0xfaf417b2,
+    0x66e814ed, 0xd8711da7, 0xb7c5ab6e, 0xdc980999, 0x356fefd9, 0x4a9d150f, 0x3b048767, 0xc42efe49,
+    0x9c962343, 0xdeea1712, 0x33bb3413, 0x3d6679c7, 0xaca8e694, 0xac1f9239, 0x0929e6d6, 0x70edb140,
+    0x21af15b9, 0x56012eb1, 0x44c5da7e, 0x2f6d44aa, 0xe5a2e8e4, 0x13b56ddd, 0x57f57ab1, 0x086d3d9d,
+    0x7ecae870, 0x3043c46f, 0x2f5fd5d1, 0xc443814e, 0xcf3dff2a, 0x5b9eb422, 0xf4afafd2, 0xff55c4df,
+    0x865bb8bb, 0x2df6f6fc, 0xda42a299, 0x078cb9f1, 0xcacd2b45, 0x20efc0f5, 0xe4059173, 0xd9497dc5,
+    0xcccd658c, 0x2f79a885, 0x1401ed5c, 0x7519ae2f, 0x74530fbd, 0xca8b89e8, 0x32606155, 0x6ed10636,
+    0x3dcaddd3, 0x0d118650, 0x54527948, 0x738fd75a, 0x9b6da521, 0x2279a99e, 0x501c0d7f, 0xbe6d719e,
+    0x58a48f6b, 0x6df03de8, 0xe6024d7f, 0xb2708494, 0xb6618f13, 0x4705db27, 0x2f43adec, 0x589a805f,
+    0xe3f34879, 0xf2c297de, 0x3d497833, 0x910174e1, 0xc5faea8b, 0x1c573c3b, 0xf76cd8d1, 0x474e6f51,
+    0x680baaf4, 0xcdbc6144, 0x1d3c08de, 0x88e63c3d, 0xb2b39d79, 0xb89075a3, 0x22c02b7f, 0xfb99e991,
+    0x78d374a1, 0x914645b8, 0x1cc017b2, 0x83ec34d2, 0x448f61a2, 0x7af6de39, 0x22fd52ec, 0xb2b711a5,
+    0xc5449a7f, 0x745d666f, 0x185c449e, 0x260df73a, 0x29ba4d4a, 0xffb7cee2, 0x2ddd9bb0, 0x78c0e9a3,
+    0xe973272c, 0xc079eec6, 0x78cf4293, 0xf4afa5b3, 0xbd9f9d5d, 0xfaff042b, 0xbd87812e, 0x7aead77a,
+    0x40ece563, 0x7513359c, 0xd78017b7, 0xe0b3b20d, 0x502a60de, 0x747897a5, 0xb093d259, 0xb8004f14,
+    0x54e7aa17, 0x268ba22e, 0xeea3a54e, 0xd99230a0, 0x88bb72f0, 0xf9dc2296, 0xe2164e30, 0x43e26f41,
+    0x68651365, 0x48927056, 0x247ce217, 0x5e99d92d, 0xf5746b72, 0x664ea5d5, 0x49d6323a, 0x36ee128d,
+    0x61cba545, 0x3be80e4b, 0xb346f696, 0x0f26c110, 0x66fe1d0c, 0x0abd0c0b, 0x26d2b089, 0xd55f9612,
+    0xf3eb76b1, 0xbe847a92, 0xdcf1ea33, 0x2b5544c3, 0x29a20118, 0xe4b861c5, 0x91bb2493, 0x9ca09469,
+    0x8467c9d6, 0x585fd3c1, 0xf7d45d3f, 0xf089ef47, 0x3ad06f1f, 0xd6fb91eb, 0x25f661ca, 0x967ed56c,
+    0x5a3c16df, 0x643fd001, 0x177af74c, 0x6102f007, 0x2b334a55, 0x67ee83f1, 0xd5badd2a, 0x8b6deab3,
+    0xb6dfbc83, 0x1b44159b, 0x3e7cfb40, 0x2ee85805, 0x7777e83d, 0x3ed3b40a, 0x163f444b, 0xa4abdd6c,
+    0x00000000 }, /* 10**00000000000000000000000000000211537910012879551664612898570486732745089498548\
+                         56999017108761448780985319561963066406054734070889115122918784800747465736192 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f,
+    0x8deceb53, 0xa46dab20, 0x20b9e167, 0x419943f7, 0xa77547ce, 0x8f892faa, 0xd8eb42f5, 0x850d7b91,
+    0x00000000,
+    0x8077f126, 0x55fda5ef, 0x6c464671, 0x38e39d65, 0xbc448383, 0x7d779b7d, 0x97d5592e, 0x82626163,
+    0x660c9a5a, 0x0f623fda, 0x550f6998, 0x6e46a198, 0xeb543834, 0x5bf07a4b, 0xf56a8fdb, 0xdff8c8a0,
+    0x9c80c129, 0xf49ae1f5, 0x1d1f0665, 0x01c5387f, 0xd14a3e1c, 0x072cbf87, 0x9a4ff1b0, 0x5a671f06,
+    0xa1d4b1d6, 0x85cd4593, 0x2472f33b, 0x7b6772f9, 0xa67a88a8, 0x90aca5b8, 0x612f0008, 0x0b603e61,
+    0x18d61a93, 0x3002aa71, 0x189d4162, 0x050339ed, 0x1797ae18, 0xcb667630, 0xe1b610f4, 0x0a3cc241,
+    0x7cc17c27, 0x6831654d, 0x88178102, 0x72c51121, 0x323342dc, 0x4e54b73e, 0x927a8b6a, 0x4362eaf8,
+    0x8bb4ed38, 0x9456d989, 0x0e42809a, 0x5f883aca, 0x4865086d, 0xb710c1cc, 0x276c240f, 0x193ec3c1,
+    0xb1383fea, 0xd990faff, 0x4393afe6, 0xe28ad470, 0x96bc9151, 0xa64bc4ba, 0x99941e37, 0x43078b92,
+    0x0f71311a, 0x599ef460, 0x061bd20b, 0x6067eb68, 0x1c294a27, 0xe15094a2, 0xeeda9490, 0x428ad4c0,
+    0x78e3fcb1, 0x81f99105, 0xaf80277b, 0x35627d98, 0xd524a4f6, 0xad01f5e3, 0x4a0d36b3, 0x28e0ab70,
+    0x06b58aeb, 0x26785a40, 0xc07d5bcb, 0x4abddfe5, 0x76d4c0e4, 0x6fe8fcea, 0xf1f14649, 0x090f37b1,
+    0xafff9cdb, 0xad1f3200, 0x82dbc0d7, 0xffa0c336, 0xa86773a3, 0x9173a828, 0xd6ea49d5, 0xbf3a9769,
+    0x5a8c5d4c, 0xf4cd6a48, 0x5654e675, 0xd85771c4, 0x3fbcc47e, 0xc05c5dc1, 0x39121bd0, 0x3a1d1bc8,
+    0x9884502d, 0x7c2e2a24, 0xac1b1629, 0x20a2fad0, 0x0df657d6, 0x2a5bc11f, 0xe109af27, 0x0e4a2b1a,
+    0xa0e6b8ea, 0x6187135d, 0xe1b238a6, 0x8a4eb5f0, 0x83168507, 0xf6a28baa, 0x306e81af, 0x801cd15d,
+    0x73fe03da, 0x7bff552b, 0x397772a0, 0xe7646034, 0xba64c349, 0xcbe76abd, 0x1f6d202e, 0x85b6b4cf,
+    0x0b02c709, 0x355ab79a, 0xfa9a3b10, 0x8dce94d3, 0x26f6f646, 0x925cac33, 0x1847f809, 0xf698dc42,
+    0xc65acf53, 0x6a7d821d, 0x0a58917a, 0x0dd24079, 0xdd2b6b64, 0x411fafab, 0xe8307b39, 0xd9696886,
+    0x8f641485, 0xeab9456c, 0xf21c79a9, 0x614458d5, 0x972b5c6b, 0x315ebe6f, 0xeb1d146b, 0x1a9ada45,
+    0x460d539f, 0x4c78d1c2, 0xce524b88, 0x0ce222e2, 0x139a8b39, 0xa4bafa40, 0x0445eb80, 0x62beff82,
+    0xd06610d4, 0x4294df06, 0x7fa2e61f, 0x758f2994, 0x25187c48, 0xff35b61a, 0x9e2af9d1, 0x97f1eb9f,
+    0x5c73758e, 0xf5428b24, 0x1269caaf, 0x761f8622, 0xffba2aa9, 0x62aebc2b, 0x125d3025, 0xfd2db628,
+    0x4b4d17fc, 0xa4dbed8f, 0x85371869, 0x005ec1db, 0xa0af3cee, 0x4e1ee1dc, 0x89e051c0, 0xf9502b6b,
+    0x1b8f555c, 0x34688680, 0x39fc0ddf, 0xf7e20b77, 0x77074046, 0xc91446ff, 0xde63865c, 0x0b46547e,
+    0x483d6792, 0x22ba9ad9, 0xc606395b, 0x771d7a98, 0xa9a6d19a, 0x378d4d63, 0x0565b113, 0xa5e72df3,
+    0xd88fe317, 0x810c14f8, 0x01545386, 0xc45b51e3, 0x7679e85c, 0x2e4503e5, 0xb047f83e, 0xb89ac188,
+    0x8041873d, 0x71e8725d, 0x0d4ed0ea, 0x94c59e9d, 0xc4710512, 0x937cf6cb, 0x92364251, 0x3be2cea1,
+    0x152915db, 0xb3c25d1f, 0xf6248065, 0x32e57dab, 0x7ab9fcf0, 0x9fca251e, 0x4bc2451d, 0x0feff8d5,
+    0xba6103eb, 0x7e75f863, 0x13529060, 0xcedaa312, 0xae1b3c77, 0x49fe13ef, 0x104824dd, 0xe8a908e9,
+    0x9cd4b43d, 0x3352e696, 0x0416879e, 0xaa9498b2, 0x0ab8fefc, 0xc962e94e, 0x666b851c, 0x9f98b76f,
+    0x9b210d32, 0x5f46c6a4, 0xe784e857, 0x93054480, 0xb9a412bd, 0x057be172, 0xbe933c9f, 0x75642cf2,
+    0x1d047007, 0x4bcf1c65, 0x07e6c6b2, 0xfccdb2ea, 0xab827356, 0x85c89761, 0x3b8152ab, 0x7e8276ed,
+    0x834182c7, 0x9adcd572, 0x95e1e6bf, 0x98d9bbe0, 0x9dea70da, 0xe936d8c5, 0x94b10b47, 0x5ac98b13,
+    0x393c50d0, 0x23576295, 0xb0d90fb4, 0x58d960e2, 0xac6981f7, 0x55ee1bf8, 0x6ce07a1d, 0xc1ea2492,
+    0xa5778224, 0x48b412e1, 0xd84b9974, 0xf1217de2, 0x50e72d97, 0x30537c20, 0x7f980515, 0x5ade019a,
+    0xdab75887, 0x46acf300, 0x98eacfc2, 0xa51bed13, 0xedbc42d1, 0x11ba171d, 0x37f5deba, 0xebec350c,
+    0x14dcd22c, 0xb6308de7, 0xd0cc4c69, 0x97e3be57, 0xb94b8cb3, 0x13355006, 0x1332f9cb, 0x6e4e692c,
+    0x1efc6691, 0xee6d1105, 0xe237d0a6, 0xbc84c7b5, 0x78e285ee, 0x44fef382, 0x3a9c3c65, 0xefe5e77d,
+    0xb847c9b1, 0x60156698, 0x04fc6fc8, 0xc5208f8b, 0x8832d20a, 0x1eadbfd0, 0xe6a8aeff, 0x5cd2e017,
+    0xe06c27b2, 0x9780bd0f, 0xe2034799, 0x4f34725c, 0x20ff952d, 0x4a5ca2aa, 0x4179f901, 0xfcecef04,
+    0x6836854b, 0xad534937, 0x22b25e94, 0xd6c08c1c, 0xa9d1bc04, 0x9824f9d8, 0x0e968091, 0x5ddc4c13,
+    0x406bcb86, 0x5bae5aa7, 0xec329bdc, 0x8f647a4b, 0x38ae4b6d, 0xce1f54a8, 0xb1b9d999, 0x30f3f2f6,
+    0x80bc7023, 0xf97dc5dc, 0xecc19074, 0x4fbca78d, 0xc6056bc7, 0x16ee542b, 0x560ed9b9, 0x3d3f0f41,
+    0x4f3724be, 0xd3d28791, 0xaf47ca9b, 0xe2a720e0, 0x0213609d, 0x8a09987b, 0xb06c52f6, 0xe74cd1ad,
+    0x1dd8d29f, 0xe7885178, 0x7c038bae, 0x75bd1d78, 0xc584bfcb, 0x648bddb4, 0x4063fb71, 0x01a1a9e7,
+    0xffa1dc04, 0x0efcbd4b, 0x756bb795, 0x05258a36, 0x4e6a916c, 0xa2009795, 0x754e82ff, 0xdf61dfeb,
+    0xab7dd8cf, 0xfed07ff0, 0x1b80debe, 0xe0a2a595, 0x0c2d39fb, 0xc65d4456, 0x4f6b63d2, 0x8660a606,
+    0x6c2fc63b, 0xbfb2e2ad, 0x0df20cf0, 0x503a9040, 0x23e856fc, 0xbe24baea, 0x6911ddd6, 0x9ad3c857,
+    0x8574ed96, 0x1e984c46, 0x4650cb86, 0xc5691518, 0x5c3147f9, 0xeed08e7a, 0x950ec5d7, 0x23353c14,
+    0x93b77b6c, 0x50db3cd6, 0xf971f080, 0xe825df22, 0x44809cd1, 0x13d4f429, 0x2139fc2b, 0x803453ad,
+    0x6bc8f3f7, 0x312d4329, 0xdea79cc9, 0x6116957a, 0x598ba527, 0xef49ab57, 0xebee9da0, 0xf61fb91b,
+    0x46b461ec, 0xb75ec575, 0x23b33685, 0x67c5a65d, 0x1e9930f8, 0x68f44fe3, 0x545b7780, 0x65128d2a,
+    0xdee4e99e, 0xd717a86e, 0x2fb385e2, 0x3288fce1, 0xcbe85ebf, 0xe686ac93, 0x71120749, 0xce941bde,
+    0xd22778db, 0xada50f9d, 0x0bed94eb, 0x92f2730b, 0x95ebbf69, 0x5ba59fad, 0x24695060, 0x026ad736,
+    0xb5645255, 0xb48dd9b7, 0x32a9e84f, 0xadf122a4, 0x0861d7dd, 0x1a3b81d5, 0x29ec1e93, 0xa97938bc,
+    0x73b6825c, 0x002b9985, 0xf9eff0d6, 0xff7914ff, 0xd7a9c640, 0x0d89feb0, 0xcc57355c, 0xd5c311a0,
+    0xab64c807, 0xa97b8b19, 0xa378b972, 0xbcc7ed52, 0x7100a4bb, 0xc441ea49, 0x8cf72c70, 0x0f482e0c,
+    0xa1c8069a, 0xa250fff2, 0x8f6d456f, 0xd7aeeeb2, 0x94cbc60c, 0xdd11b8b3, 0xa9d18ea4, 0xf995a737,
+    0x1de2e2d0, 0xc62dba78, 0x7d15529d, 0x3a8a9d7e, 0x2960c3d7, 0xe01f45fd, 0x3fb892bd, 0xcf8a7120,
+    0x27a46ea7, 0x578ab68a, 0xd54ec316, 0x50a510e8, 0xf77541c2, 0x2ad6b64b, 0xd952d61a, 0x51d2ec94,
+    0xaa887afd, 0xdf30644b, 0x0f03d1ad, 0x13b8beb2, 0x48da4689, 0x6af35acf, 0xff1e0bb5, 0xb60c3ec1,
+    0x5759c71c, 0x31fe1993, 0x776190cf, 0x650067cb, 0x8844c24b, 0xba932bf9, 0x66b292ac, 0xce530e31,
+    0xb83d9af6, 0x19f07036, 0x76acc66c, 0x34ddaf1f, 0x3858c2e7, 0xcb370cb6, 0x383d5fef, 0xffc3e536,
+    0xfb3b2cf3, 0xc7a5413b, 0x86ca4f79, 0x75c4ca72, 0x37be16ec, 0x911e045e, 0x5fbb6ba9, 0x99a93a08,
+    0x875f743e, 0x2deee641, 0x4236261f, 0x35a61f0c, 0xc81dcc7d, 0xd3e74df6, 0x6d09a36f, 0x53da25b8,
+    0xc95f0dea, 0xa3c7bc8f, 0x32baf9fa, 0xcde571f8, 0x17b5f570, 0xa284add9, 0x51923aa7, 0xfca95aa6,
+    0x672f2c4f, 0x99f0f1b4, 0xa398f798, 0xebaf0bb1, 0xc9dc135d, 0xbe8b8169, 0x26f8ee4b, 0xb86fc7f7,
+    0x89b902f1, 0xe757e435, 0x40d16c32, 0xebd0a890, 0xf581d989, 0x5abc9320, 0xbc5f676e, 0x0f3a5ab1,
+    0xc5d7a32d, 0x0a87becc, 0xf239800e, 0x01345de3, 0xb0051684, 0x4f27f266, 0xf93fd183, 0x07147dc8,
+    0x37af3eb9, 0x4b20fe2d, 0xccaab319, 0xe2c2f362, 0xe56e8868, 0x95c75bee, 0x9a5e9b68, 0x3fc02bba,
+    0x47bb4a8b, 0x3891ed41, 0x228b8566, 0x9c827f5e, 0xdb86a371, 0xafb0e687, 0xfbbfac3b, 0xa8d798ca,
+    0x6eb34fa5, 0x7b124e6a, 0x91a08eed, 0x89935d0d, 0xefb4cf00, 0x26ceb074, 0x670821b8, 0x09b4e52a,
+    0x43f06f36, 0x2eef70a1, 0x87f53f39, 0xc20b5863, 0x64049882, 0x261925d0, 0x99081a67, 0x0ca5ff25,
+    0x52077a2e, 0x2749eefd, 0xeeb2cf32, 0x3a228af5, 0x02951a1c, 0xb2809f76, 0x7d3b1b6f, 0x0284f89f,
+    0xa9fd4d6a, 0x9cc7a8da, 0x4e2ef00f, 0x541741a1, 0x9a8652e0, 0xbaf18678, 0x12079f01, 0x0f2e9961,
+    0x0996dc69, 0xc668bda5, 0x5a5177e3, 0x7991ce19, 0x866303b3, 0x8cf501f9, 0x2f8bf14d, 0xae93e0e0,
+    0x471691b3, 0x8e1bd075, 0xa5dc4a4e, 0xa344c6b4, 0xab754796, 0x04ce8ecc, 0xa049ec20, 0xcb039f0d,
+    0xcb8832ae, 0x341787df, 0xfdd156c6, 0xb16a517c, 0x8bbc1a89, 0x35d58e3d, 0x5d546950, 0xb8ec0389,
+    0x25e5c348, 0x47c50f15, 0xedabdc86, 0xd203d107, 0x4f38cf2a, 0x2c84e17b, 0xdac7f030, 0x624dbb9b,
+    0xf9be5842, 0x94fd18c7, 0xcdab6868, 0xe1bc2f01, 0x1e55ea75, 0x0b45d58d, 0xf5f81cec, 0x5bd30a91,
+    0x12c624fe, 0x2c5280b3, 0x119b0f49, 0x1ad19892, 0x9bea38f9, 0xa195f06c, 0xd849d35e, 0x02b07c4f,
+    0xcb88a4c5, 0xe8bb78e2, 0xd7891806, 0x6d317f41, 0x46f965a1, 0x63b27294, 0x8777bd23, 0xe58e7dc1,
+    0x1b1dcd86, 0x6247dcdb, 0xfde6d04b, 0xb3eb6fee, 0x088081b4, 0xfc3f9f5e, 0xea61f2ae, 0xd06bb625,
+    0x9bf41593, 0x2ad42b7a, 0x70733fd3, 0xb240efcc, 0xb9c71603, 0xa364e5ca, 0x8ea02507, 0xd1fe61d2,
+    0x62fa4e8f, 0x2c4d34be, 0x9dc00595, 0x6a65fa98, 0x9d2dedc3, 0x8e11f962, 0xef771bd0, 0x21ea3eda,
+    0x93ec69d3, 0x6a46aaf8, 0xf7466ac1, 0x0824f0c4, 0x8f097b3c, 0x52836a9c, 0xe8266bc4, 0x5ca6f243,
+    0x8ab3302d, 0x3ffd0cad, 0xd75ac32f, 0xd0722b57, 0x4202c338, 0x33857684, 0x88f1fd8d, 0xea54aa5e,
+    0x290a0994, 0x8ff32def, 0x7e1bb15a, 0x109fcf30, 0x81aed05a, 0x3a7ef5db, 0x76307dcb, 0xc2f6952e,
+    0xd7c8f108, 0x63e59b69, 0x886f7168, 0x52a75e52, 0x11bd1680, 0xcf147707, 0x1961f1d7, 0x7862b1c9,
+    0x87a2f587, 0x0b45052e, 0x3be006a5, 0x59bdca50, 0x4dd0dac7, 0xb3dbd00e, 0x533f24e5, 0x1ebec1c8,
+    0xe604ec90, 0x1ac673a1, 0x480a4411, 0x07eb06cd, 0x2dafb140, 0x7598f983, 0x347a4392, 0x97126f81,
+    0x88e1a122, 0xf70fd2be, 0xf4463d06, 0xb6c2a07c, 0x1d6ad573, 0x4e0bcc56, 0x8de0ce51, 0x05da40f8,
+    0xb1919ca6, 0xf4f435d0, 0xdc85bedb, 0x2e70622f, 0x67fca35c, 0x4c1cdb31, 0x3d8e1d2a, 0x77b30cdd,
+    0x52e02636, 0xb312e39b, 0xb97e9ef1, 0x435c22a7, 0x41e81533, 0x953a1c40, 0x175c42ca, 0x0b5abfac,
+    0x17a56d50, 0x237c8919, 0x7f61e847, 0xc6dc4e8d, 0x06fba994, 0x83204265, 0x86b88133, 0xd1f86e38,
+    0xe32cc33b, 0x8fa93228, 0x451f19b2, 0x27b3f7ec, 0x3f7a5e5d, 0xd4928962, 0xc52e0de8, 0xff77bfe2,
+    0x1fa64eeb, 0x7a6963c7, 0x6553ebf3, 0x85ec09c1, 0x79952a11, 0x53087425, 0x3c5cefc3, 0x7adde82a,
+    0xf1fc9c37, 0x03e62baa, 0x4fbedcab, 0x8fa5e0a4, 0x29ea9555, 0x8b1474ba, 0x6c3176fe, 0x10c99b67,
+    0x26ad964e, 0x67fe6711, 0x3d3c10b8, 0xab8e268f, 0x257e7dea, 0x8444aea5, 0x55b7579c, 0x0db521a9,
+    0x0eeab84c, 0xd2c6dd46, 0x1c9a3c1a, 0xe9f9f96d, 0x08988e3c, 0x13bd90e6, 0x4869f1c0, 0x0cdf0b31,
+    0xce655ef6, 0xa31abc98, 0x3cd6905b, 0xfcf27c97, 0x20463642, 0xe63288a7, 0x50700220, 0xeeeb891d,
+    0x1b9cd623, 0x8d900dc9, 0xa76b3497, 0xce2c4f10, 0x7caa766b, 0xe4a3d143, 0x2d5f6ecb, 0x6e537ee6,
+    0xd6c19e8f, 0x4e182488, 0x0095fa8f, 0x6c82afd3, 0xde36e9dc, 0x960d0ee8, 0xc569ef6a, 0xcd51f415,
+    0xeb27ba1d, 0x6a6a02ca, 0xe5aa2b07, 0xd72228c7, 0xf5fcdf3a, 0x8241bbcb, 0x6f71dd4d, 0x7cd84ae5,
+    0x8e236533, 0x08272820, 0x64b3e421, 0xa5977ffe, 0x42ef53e5, 0xf4385ffb, 0x91720584, 0xb8d90446,
+    0xea1bbcd1, 0x8c4a05cc, 0xb206d60e, 0x8d405d61, 0xf834734b, 0x7cb59ab9, 0x59842482, 0x0affa273,
+    0x54338a64, 0xd3775cf4, 0xb24a9eef, 0xa478b13c, 0x604ce84e, 0xaee713ad, 0x3a613f62, 0x0951bd25,
+    0x0907dd1e, 0xfe0534c9, 0x9879c0ab, 0xb7c61e78, 0xa46532bb, 0xc1d5ef56, 0x5ceb16a1, 0x4ee4e1d8,
+    0x45a51590, 0x3dd88e08, 0xb7caf4cf, 0x6005bf3a, 0x1b90210e, 0xfa346c9b, 0xca1ce759, 0xc23cd2cc,
+    0xad45a34c, 0x1e57e20c, 0xf03230da, 0x68da1f0a, 0x93d30301, 0x7f549bc6, 0x24b108b7, 0x0c26cefa,
+    0x26337b28, 0x5f8dc293, 0xf46d1c60, 0x730f396d, 0xd7573093, 0xedeca8f1, 0x198ce0b9, 0x11d42eba,
+    0x80339ef6, 0xba2fc594, 0x4a2b3aab, 0x9be61feb, 0x16102a63, 0xc36b71c5, 0x53232441, 0xa6f77e95,
+    0xff772ee1, 0x3022700a, 0x7259137f, 0x2c251766, 0x61c0f76b, 0xb29bc16d, 0x36a0e6d4, 0x612cc6f2,
+    0xa5907d81, 0x8923e12f, 0x00edf371, 0x73c8105d, 0x6142e70e, 0x3a335d0b, 0x3ffda285, 0xea97dba4,
+    0x27729c17, 0x18fa0404, 0xd60c579d, 0x35384090, 0xf1e748fd, 0x20d56c56, 0xdebd45d0, 0x583f8df5,
+    0xed279b6d, 0x6ed038b2, 0xeffa16ab, 0x88010b95, 0xd8559987, 0x85ff1d81, 0x82caa9c6, 0x66dae704,
+    0x1d3d1d1d, 0x0ff22935, 0xc9ba74a4, 0x4e5553f4, 0x7fb72432, 0x67739314, 0x55a8af5f, 0x345730f4,
+    0x4ca7c214, 0x42152e90, 0x9220c90f, 0xb32dc92d, 0xe1b038f6, 0x059f2758, 0x5c3bfadf, 0x4fee7e3d,
+    0x9a7ea811, 0x4d4a21c6, 0xe67fcef8, 0x3c261731, 0x125525fc, 0x81dff8df, 0x1f57e3d7, 0x6dd170b6,
+    0x4eb940ce, 0xc1e79634, 0x8e907751, 0x7edf784c, 0x5ee7510c, 0xe5d993f7, 0x13d745d4, 0x6979eec4,
+    0xdbcd8d33, 0xa4937a98, 0x11479453, 0x22810e6b, 0x9f271f1b, 0xce977961, 0x519c329d, 0x2c4aaefe,
+    0x00b26f76, 0xd9146ea1, 0xb589308b, 0x255adf4c, 0xecdfbc7f, 0x00730555, 0xf597e304, 0x8cacece0,
+    0x37227b06, 0xa1e6540e, 0xb58b3b26, 0x7f0ec666, 0x8acab949, 0x0976d5e0, 0x1a4d6273, 0x254bcabb,
+    0x70d61cd0, 0xfc713ff5, 0xad7972ec, 0x75c9af0e, 0x9e504054, 0x5a6b949c, 0xb266367c, 0x4d3e298f,
+    0xd8f2cccc, 0x5a8443a1, 0x331a413a, 0xee9ea4f7, 0x54998f8c, 0xc6a14654, 0x3c5dcbcc, 0x278065fe,
+    0x1fb85840, 0xf080009a, 0xcef17553, 0x4bfe0407, 0xcbff104d, 0x634f29f2, 0xe9b153e3, 0x60086210,
+    0x00000000 }, /* 10**00000000000000000000000000000105768955006439775832306449285243366372544749274\
+                         28499508554380724390492659780981533203027367035444557561459392400373732868096 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf,
+    0xc6f675a9, 0xd236d590, 0x105cf0b3, 0xa0cca1fb, 0xd3baa3e7, 0x47c497d5, 0x6c75a17a, 0xc286bdc8,
+    0x00000000,
+    0x803bea8d, 0x3701020d, 0x49555a4b, 0x72f1f89e, 0x4f0b896a, 0xb4756a33, 0x34b9d56c, 0x80980fb6,
+    0x76511efc, 0x3ac0ad01, 0xd9a83a2e, 0x9cc216d8, 0x5a416ace, 0x16e1cacb, 0x89c73614, 0x97d8cd82,
+    0x17555bb6, 0xbcd6661b, 0xf2281fbc, 0x381af5a7, 0x88b29beb, 0x2aabee6f, 0x85c4edf3, 0x202878bd,
+    0x8837b95d, 0x60b3333d, 0x20fa3105, 0x672902e9, 0xf80e956c, 0x786a077d, 0x607dedf4, 0xd48f5b06,
+    0xa5801df5, 0x6a651462, 0xff78beb3, 0x7a903e3d, 0xf5823702, 0x8c41cbd0, 0xe4ec1d0a, 0x5eb34ccb,
+    0x63396f05, 0x704bf3db, 0x3c825ea6, 0x8add7aba, 0x781863b2, 0x220bc54b, 0x0eda4264, 0x39990902,
+    0x5e3a98b2, 0xfae61fa0, 0x9b058746, 0x9245203a, 0x92531978, 0x5bc76140, 0x02b2a860, 0x46d776cc,
+    0x94cb2d90, 0xc3cf8abe, 0x09cb6229, 0xcdeb85d5, 0x816fd0ff, 0xa1ceb897, 0x4aa8e3e2, 0xf23c48a7,
+    0x9da44a4f, 0x4da714b8, 0x664eddbd, 0xa648d479, 0x8c70c721, 0xc8114739, 0x757388ab, 0xa198b2e8,
+    0x9ace268f, 0x3726b7e7, 0xa03ce89c, 0x3ceca07e, 0x2826940b, 0xa7ef1864, 0xffab0656, 0x733c4a91,
+    0x4c739740, 0x59a4634d, 0x89e0e02e, 0x4e456516, 0xfdc337fd, 0xef6e7335, 0x201dbff6, 0x082cb112,
+    0x21c6862a, 0x22cf55e0, 0x3479468a, 0x5e7754f1, 0x3375a89c, 0x614a82bf, 0xcc17c688, 0x6504de2c,
+    0x82d35255, 0x5d1ee84b, 0x787d7c22, 0x7282bc6a, 0x64198e4a, 0x1658bcc2, 0x9f9a40df, 0x2dc81a6f,
+    0x7c6f01c5, 0x6cba3dea, 0xf78739c6, 0xbba51aca, 0xd1609d62, 0xbe7f6ea4, 0x4c49b246, 0x0c997c90,
+    0x863d7f06, 0x9a95bc38, 0xb2a10f52, 0x56410e77, 0x152aa0f4, 0x1d6e66b0, 0x5180a3ad, 0xb6c773aa,
+    0xb88c825f, 0x057af436, 0x4934fdfd, 0x64682031, 0x0bad86b3, 0x3e167ac2, 0x48743595, 0xce23f4cf,
+    0xc30e4103, 0x28d1a198, 0x0d4d63eb, 0x0813e20e, 0xe3e77f90, 0x6fcba547, 0x2d5c4bf2, 0xda8df805,
+    0x99c99052, 0x6c2d8612, 0x839dab09, 0x9b8de248, 0x0a50b22d, 0xba8d3803, 0x5ddc3d5f, 0x04c90425,
+    0xee166ba9, 0x0830ce27, 0x59c92640, 0xb56bd4c6, 0xafe15c91, 0x9e0440c7, 0xcb48316f, 0x46fe7fb8,
+    0x62637802, 0xf67c8aa8, 0xddc3904a, 0x29b84f9f, 0xac9dd78f, 0x73f861ab, 0x836dba41, 0x12bac552,
+    0x7254148e, 0x4bedd883, 0xbce52acb, 0x34e72d60, 0x5ce20d5e, 0xb9a10717, 0xada3d980, 0x7f179b10,
+    0xce92b555, 0xa0fd1415, 0x9c3f8f87, 0x21600d25, 0x3deb9ab7, 0x4555dfb3, 0x0855c08b, 0x38f6c207,
+    0x13ea20c8, 0xbd8c6886, 0x0bbe1d91, 0x7699e3ae, 0x6bf6030c, 0xb7aa73de, 0xa2dd7d6d, 0x725405ae,
+    0x141cf49a, 0xf069dd03, 0x748880ab, 0x09a44dcb, 0x4bb1825d, 0xf8876371, 0x8b1f7ef6, 0x0a1ce8e7,
+    0x6ee36d57, 0x3163e0c3, 0x99a9333c, 0x6bf5bad4, 0x85565a4e, 0x3d5512eb, 0x6178c9dc, 0x125f0d41,
+    0x7272ab66, 0xbada58d1, 0x509127f3, 0x710d3c8c, 0x3fb6399a, 0xbb5f158e, 0x3a9ff2ac, 0x0da0f6f6,
+    0xb3b21f8c, 0xc9183233, 0x6f51ba0a, 0xa7fb01e3, 0x5ea3a3e6, 0x26be8692, 0xf2627411, 0xcdd56b24,
+    0xdd2778f4, 0xcf9b68ba, 0x1ea9d661, 0xdbd8ebb4, 0x54687c9f, 0xf5ef8c5c, 0xd526c484, 0x3581efb1,
+    0x12ac837b, 0x9f09dab3, 0x204864d8, 0x1dafc32c, 0x3a297cd2, 0xafd5a958, 0x3a56dd28, 0xd79a78c1,
+    0x2aafbe43, 0x5149698c, 0x7141e240, 0x871a1c73, 0x03c029b7, 0x2e0fd3c8, 0xe6692c51, 0x57bda75a,
+    0xd7ce8056, 0x7e9dfc2e, 0x5d05a0c7, 0x5a70a5ef, 0xc4d1817c, 0xd6962e5b, 0xb0ed142c, 0xf2d4eeda,
+    0xce8d0518, 0xc906c46c, 0x774b71fd, 0x851d73b8, 0x38686438, 0xafce885f, 0x1eb87f75, 0x264f33dd,
+    0x20761bd8, 0x3c9b8032, 0xcceaa280, 0x0f016e67, 0x8d382954, 0x640b66fc, 0xe62d6245, 0x8a8f6d1a,
+    0xb8f2448d, 0xe8f418e9, 0xf3c534dc, 0x742d07d9, 0x9ca0247d, 0xf64ff2e9, 0x23a2931a, 0x73575ddc,
+    0xa0e4b955, 0xbf1fe02d, 0x271c87c0, 0x75ddf04d, 0x6febd607, 0xd5c24672, 0xda5f4f7d, 0x3b2299a9,
+    0xe2f25cd3, 0xc7db86f9, 0x23a2fd2d, 0x19aba923, 0xaa82c09c, 0x48adf642, 0x07c2596e, 0xcf83cbc0,
+    0xf1dca3d4, 0x83bbafbd, 0xa7802072, 0x2caf1d58, 0x046060bc, 0x884fedba, 0x242afd1b, 0x2cac10c6,
+    0xa3393421, 0x4781eafc, 0x4e99cca9, 0x193f6568, 0xf612c5b1, 0x5817c21a, 0x3e04fb08, 0xe5f37f16,
+    0x5370daf8, 0xde942f66, 0xd0a1cb73, 0x554139fd, 0xd4f9c71b, 0x897ce850, 0x01ab2bba, 0x9fb9b3c4,
+    0xac882f9c, 0x8a6266cb, 0x2961043a, 0x3d403363, 0xe5e4ff37, 0x7e926418, 0x3e99ef34, 0x7743177c,
+    0x3074ddbd, 0x000a9c41, 0xc2942763, 0x0461ddc3, 0x454702b0, 0x98c735c7, 0x86b6d44c, 0xa00f5679,
+    0xb55e0a51, 0xbdbc0711, 0xaec3f576, 0x02cde5ac, 0xaaba1ee6, 0x8f9887b3, 0x6cde9790, 0x709defea,
+    0xd20374be, 0x4be6f23d, 0x81eb8bfc, 0x3ad1276b, 0x442b8741, 0xa579d7cf, 0xda514f00, 0x794d7cc7,
+    0x27393d87, 0x0524c15e, 0x7ad3ab5a, 0x8bb446dd, 0xe899b7d2, 0xfc3654c1, 0x701af0e8, 0x44400d2c,
+    0xaed74dc9, 0xdbd65740, 0xd8bdf1ad, 0x2f5aefd3, 0x86b1a5d3, 0x39aa76f7, 0x1caa9a0c, 0xfd1faf53,
+    0xec4d4629, 0x66f5944c, 0xf7ef9d66, 0x61a4f699, 0x2b2ebe52, 0x4728908b, 0x3b7cb76b, 0x921cb931,
+    0xb2c4b02e, 0xc0b2da2e, 0xa4d80022, 0x178c5f87, 0xf03a3e15, 0xaf45da2e, 0xde85c12a, 0x8453f90a,
+    0xcd4770f6, 0x82ec23d2, 0xd28c4d79, 0x4939a989, 0xbaa7abd1, 0xb8055847, 0x2c6419d7, 0x76ae71fc,
+    0x8cbd8c11, 0x5485d608, 0xb4ccfb8d, 0x5be898be, 0x6dfb6289, 0xd38088d5, 0x92035536, 0xf02fd3fa,
+    0x9ef9980a, 0xe0343cba, 0xede78005, 0xc8305ed9, 0x595df778, 0xa89dd656, 0x173cb4ec, 0x5b8ace3f,
+    0x9059c1ce, 0x8d8dfd24, 0xc7452cd1, 0x1d07ab0c, 0x4a73f5e5, 0xce05809b, 0x96f815a8, 0xa6571b6a,
+    0x08763542, 0x088398b1, 0xf1bada60, 0xa16c4cad, 0xc63f4421, 0xdb36646f, 0x033f0774, 0x7976790b,
+    0x2e8d486f, 0xda020281, 0x6ead5afd, 0xe3a00590, 0x3ae97b2f, 0x7f745d84, 0xe73bbc90, 0x4174dd83,
+    0x26ad9fde, 0x38fdc9b2, 0x9e6a6e26, 0x76b3c73b, 0x57fcf2f6, 0xdcf70f87, 0xf32647b5, 0xd34f88ac,
+    0xef09632e, 0x3d536729, 0xe772f7b2, 0xef4fd4db, 0xdef313be, 0x8813f19a, 0x734512cd, 0xa2048baa,
+    0xa0186cbb, 0x73e8da86, 0x69c3503c, 0xf6ce79fa, 0x5faaff37, 0x03159aab, 0x68bcf06f, 0xf259e40e,
+    0x383b5d08, 0x2d18636c, 0xc1b08799, 0xef654f77, 0xdf7359f0, 0xcb5fa91e, 0x326693c7, 0x3794a517,
+    0xc66954ea, 0x8cf18948, 0xc855298e, 0x4f011a97, 0xa176fb3c, 0xbc36f3a0, 0x7ab48a39, 0x0e0f3755,
+    0x1a2c341a, 0x3a10d079, 0x5f03447e, 0xdd3c41ab, 0xe0a0eccb, 0x06283b7b, 0x7b58ea34, 0x51c23cb3,
+    0x787e147e, 0x5dc976b1, 0x06118be6, 0xaf5c8f5b, 0x020a09d6, 0x8d3a1484, 0x326fea22, 0xd4daa042,
+    0x0af712d6, 0xc2fc1996, 0xb942f89b, 0x02fe51d3, 0xfa72b7a3, 0x64716afb, 0x0c72e224, 0x39737180,
+    0x28f44cbc, 0x03e7141d, 0xa26b6b49, 0x0c798366, 0x30129820, 0xfb1fb4ff, 0xedec51a5, 0xa2911cd5,
+    0x98a65dc6, 0x3396a3c7, 0x8aaf87f7, 0x86ecc50f, 0x522b02d9, 0xd85c7625, 0xffa5817f, 0x788341b1,
+    0xd1d4ddd7, 0x61a3a429, 0xa762dc83, 0x4cd7f36d, 0xce76f102, 0x8b1f6370, 0xa3ae1c61, 0x57eafe1e,
+    0x45cd0537, 0x9a2cc399, 0x6bb3c153, 0x45f55ba7, 0x9f45d8c9, 0x1e1b53af, 0xd2586738, 0x8106a245,
+    0x755c7704, 0x5dac3943, 0xe1f06eff, 0x51d47b64, 0xa0cbf18a, 0xac3cbcb7, 0xd486b18d, 0x1379f643,
+    0x301aa533, 0x7e712bb1, 0xbf7aa1b0, 0xa3e09335, 0xdf802866, 0x7473c567, 0x7c0f2387, 0xa369e1f1,
+    0x49c2b36a, 0x3b25d105, 0x4914987f, 0x8a12f22a, 0xcee30834, 0xf599fb64, 0x0f0efd7e, 0xaf994373,
+    0x44a14a21, 0x33f465ce, 0x5083d690, 0x3c525f2a, 0x8f3ca8e6, 0x7784996d, 0x95f39dcc, 0xeed8178f,
+    0xe3866fab, 0xc0afafc5, 0xa3c0ec66, 0x6d443b96, 0x41f0ac1e, 0x5f9ea40c, 0xe9819f11, 0x0384e76f,
+    0xb4a1302f, 0x15078a92, 0x5c225bb2, 0xbc283576, 0xb6ba2834, 0x52a936c5, 0x45f8403f, 0x4b852e79,
+    0x82177771, 0x7c9b3bbc, 0x3a952e9a, 0x377e3779, 0xe79fd69a, 0x0a866d83, 0x44f109e6, 0xc01125b9,
+    0x05842e35, 0x026d1b7e, 0x20c82001, 0x8c4565f9, 0x14609818, 0x2c730638, 0x56221847, 0xa5a0fe4a,
+    0x19665283, 0xb116e26f, 0xb2a8b8dd, 0x28fb0634, 0xe239839e, 0x590767c7, 0xbaddc0f6, 0x98fec614,
+    0x5db5680c, 0x7814c9d1, 0x68ff2049, 0x38b650cf, 0xce218f1a, 0x17937730, 0xf1120b9c, 0x18d05539,
+    0x58aa8913, 0x78b84266, 0x48449a64, 0xf0ff6996, 0xd66982fd, 0x6ded6dcf, 0x6fedbf11, 0x05a28884,
+    0x23d1b122, 0x8856c538, 0x32964015, 0xdef7184d, 0xa7e9fce9, 0x7c4d2642, 0xd8cafeb6, 0xeec631ad,
+    0x65f74703, 0x8a7b84a2, 0x98f58a84, 0xc3b43d79, 0x67ec4359, 0x5a777f83, 0xb4dc0441, 0x714f03a3,
+    0xfdec32b9, 0xd2c20f8b, 0x44e884da, 0x484d67cf, 0x57f9a621, 0x29d9f4fa, 0xdc523f7f, 0x73f6844c,
+    0x3bf23090, 0xfea59ad5, 0x5ce4e896, 0x94486824, 0x23cd4b90, 0x77a25b5d, 0x8a9a7fd0, 0xb1a950a0,
+    0x534bc120, 0x8ab64a29, 0x81b4a43a, 0x4fae7ae1, 0x8ce55c43, 0x6116166b, 0xff294018, 0x6c988fd1,
+    0xc6324b94, 0x5ee89b34, 0xed5cba58, 0x4c4a2a14, 0x7745abcc, 0x94a52c9f, 0x92263f1a, 0x01df7f72,
+    0x73fb4a9c, 0x088eef6e, 0x8db20fd3, 0x63b7154b, 0xc8ce9956, 0xf8b4d18d, 0xbb3047bc, 0x828d9d63,
+    0x26049969, 0xcb109e3b, 0xab718e86, 0xcbbbac6a, 0xe9b8666f, 0x7e206dc9, 0x13a21012, 0x6716caab,
+    0x8052a630, 0x0cf4c530, 0x44a0848d, 0xfd6793da, 0x0f367129, 0xbbccf6ac, 0xdfdc3d60, 0x00fcb17c,
+    0xedd4172c, 0x7b315a24, 0xcedf9bd7, 0x38747a05, 0x502b9740, 0xbd612d65, 0x6513c7f2, 0x625ca852,
+    0xcc987c83, 0x41dbbc1e, 0xd73c729d, 0x4def6ee2, 0x9e3813b6, 0x0ecf0096, 0x20b8946f, 0x2b18d49c,
+    0x922135c6, 0xc9eb0552, 0xa835cdd0, 0x4740893e, 0x2b6fbff8, 0x2b36aaa0, 0xa7b76404, 0x7327564c,
+    0x6c4af6e4, 0xe133d954, 0xf7f85ffc, 0x3f5fba5c, 0x91175f7e, 0xfc6d77af, 0x57df560d, 0x3e38cbb9,
+    0xe5d627c6, 0xbfc8d41b, 0x1932db40, 0x3a8af87f, 0xc4388691, 0x25b2f93c, 0xe7386fb4, 0x202c6895,
+    0x9bc8c5d4, 0x14ff56e8, 0x180f5687, 0xe1f316a5, 0x5d23a721, 0x6081e24c, 0x75f1a130, 0xcf3f5e6f,
+    0xdb595b2d, 0x7bc66fa5, 0xb3adfe54, 0x0a50d174, 0x89f91be0, 0x38c492e1, 0x86af9224, 0x70a97b07,
+    0xd5ec6658, 0xc5a8c76c, 0xccb17c02, 0xcdca83ad, 0x42f253df, 0x7c635608, 0x8bc7f754, 0x57ae5248,
+    0xd2a8b424, 0x60fc080e, 0x0f0645fa, 0x36da1a93, 0x0eed720d, 0x46240a54, 0x3296de53, 0xd726282c,
+    0x8d91d007, 0xdf5df4d5, 0xec900b7b, 0x0685ef46, 0x91939070, 0x643d28d4, 0xbcd11703, 0x92b8547d,
+    0x81ce26c6, 0x6d904afa, 0x303798b5, 0x627b8b3c, 0xce6b0520, 0x477dfacb, 0x30d99473, 0x264275fb,
+    0xb380cc2b, 0x53a60aa1, 0x79f240f8, 0xdefb5190, 0x1ef879cc, 0xced8e0ef, 0xba1b3485, 0xca429729,
+    0x6126c6b8, 0x9f2560fd, 0x178496c6, 0x4437a913, 0x9c64ec2a, 0x28eff127, 0x0549413a, 0x371009b0,
+    0x28b5700a, 0x0c682944, 0xced41124, 0x022e1934, 0x723f9da6, 0xf7472d38, 0xba3c840d, 0xa9d0272c,
+    0xf3a40633, 0xcbad321e, 0x523ab8ac, 0xfa2a7da5, 0x0171af15, 0xc865fe6b, 0xe54aee67, 0x0c07ac88,
+    0xfe2d116a, 0x1e45fc69, 0x1d01fe57, 0xa8f9f623, 0xdf06f560, 0x604f1817, 0x2f4abe06, 0x2afd5982,
+    0xa2b0d625, 0x60a8550f, 0xc90db395, 0x52c4cac3, 0x1c65d299, 0x1e8873ef, 0x2aed0f75, 0xe9a04ea1,
+    0xab4eeb7b, 0x5a641cd5, 0x10a03e9a, 0x7154324c, 0x7bb52109, 0xedf92363, 0xa75c1497, 0x3cb21af6,
+    0xf51bd721, 0xaf5e5b45, 0x49c782ce, 0x17d58b89, 0x1c0fad7f, 0x9c6b62f3, 0x45782f2f, 0xb11fa437,
+    0x74eb6a73, 0x3e4d6106, 0x5ca7542a, 0x9bc00b76, 0x36fa5e37, 0x93f8525b, 0x3f41b587, 0xf05ab154,
+    0x5dc9f698, 0x9973f22c, 0x782c90e0, 0x3cbffac3, 0xad11dbd6, 0x136c7fc9, 0x68313eff, 0x8be00644,
+    0x8fc000e0, 0xa76df8de, 0x16cbeb70, 0x51e5b059, 0xd3bb8832, 0x614dacf3, 0x2b122e54, 0x9735e63a,
+    0x099d487e, 0xd85ea17b, 0xf5532c42, 0xdda60ed5, 0x71c2bd4c, 0x1109fc39, 0xb51447b1, 0x41163a5b,
+    0xb89a83c4, 0x0ce9c146, 0xd21353f9, 0x430db664, 0xe0534639, 0x608a6dde, 0xbb649977, 0x9f8bd1b5,
+    0x0f302fd6, 0xd60f7a93, 0x86027ade, 0x50e71ed6, 0x85f0bc81, 0xf4c8d3b0, 0xc4f3080d, 0x9405a87b,
+    0x9df24295, 0x97b981b9, 0x6a84184c, 0xab74d990, 0xe212806c, 0xa711d30a, 0x4c28c5e0, 0x6c4072e9,
+    0x1cf24ba4, 0x35e7778b, 0xb325c9a2, 0x19c0b75d, 0xbc7d4a60, 0xb1dacf69, 0xdfa1b2c3, 0x81622dff,
+    0x23697362, 0x29b029a9, 0x58ef915b, 0xe5b5844c, 0x8b77d2ef, 0xddcbef0d, 0xa1b5e8a8, 0xc174a6f7,
+    0x2e9138cb, 0x7a109000, 0xb3084684, 0xa4abf3dd, 0xde0558e1, 0x9a2731bb, 0x69308d3b, 0xd3326303,
+    0x953e590e, 0xdac8afd1, 0x5678312a, 0x830fe652, 0xb018faab, 0x58058077, 0xba59684a, 0x02b00311,
+    0x7fd3c568, 0x8761a86c, 0xf1427972, 0x774821dc, 0x2c427cf7, 0x5cdb427d, 0x8484d044, 0x5760d301,
+    0x436958ee, 0x7f34a502, 0x0fb3c450, 0xe2210a80, 0xd64d4cca, 0xb5cf9021, 0xe60390b8, 0xeb784125,
+    0x2100d35c, 0xb34e8fd8, 0x8100ed90, 0x13e88e69, 0x5cef84b3, 0x310eabbf, 0xa79a0285, 0xa2999e86,
+    0x67541cbb, 0x547afd32, 0xdb06f1e7, 0xb95608e2, 0x79e1d9cf, 0x19ddbdbf, 0x6c15731a, 0xb540945f,
+    0x9b3bd112, 0x0ec34176, 0x497416af, 0xade8d8ac, 0xf8238df7, 0x99919fc2, 0x2054f395, 0xc20c9f75,
+    0xcfdb1dd7, 0xd2aca57c, 0x03cc6c30, 0x93ef6438, 0x776be7bd, 0x0fad574d, 0xd835df93, 0x19703db4,
+    0xd897665a, 0x30f7aa74, 0x4db043a3, 0xff68ee28, 0x0e7d7073, 0x9c129467, 0x75e4b3b1, 0xdb140cac,
+    0x5266d3b6, 0xc7a65dd0, 0xd72e2d40, 0x5a1a6bab, 0xc4ffceb3, 0x4aa41053, 0xccdc3082, 0xeb084e48,
+    0xe730fbf2, 0x12c712f5, 0x670d21dc, 0x05e80500, 0x06bf9746, 0x1e4dec54, 0xde07a1d6, 0x4a8139d7,
+    0x4a86adc9, 0x5e46f43b, 0x391100c2, 0xf2a6be7d, 0x92cadf57, 0x0cbe3da2, 0x510e1066, 0x1a75c5a7,
+    0x5edb0c6f, 0x9c0745f7, 0x3c5aceec, 0x65d64b2c, 0xf39307eb, 0xd728be5b, 0xed3523b1, 0x0ea568e4,
+    0x00000000 }, /* 10**00000000000000000000000000000052884477503219887916153224642621683186272374637\
+                         14249754277190362195246329890490766601513683517722278780729696200186866434048 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f,
+    0xe37b3ad4, 0xe91b6ac8, 0x082e7859, 0xd06650fd, 0xe9dd51f3, 0xa3e24bea, 0xb63ad0bd, 0x61435ee3,
+    0x00000000,
+    0xb52f4c3e, 0x530819e2, 0xc1a8e298, 0x66077a8f, 0x8a1fdf93, 0x6b835d3f, 0x3ab92998, 0xe3126086,
+    0x05985f2c, 0xb4becbfb, 0xe9bb061a, 0xdda69569, 0x93f049af, 0x115c15f6, 0x879d29d4, 0xaf27dd8e,
+    0xe0892905, 0x47da79d9, 0x1e72fe26, 0x15df709b, 0x26ae6c68, 0x81abe908, 0x02e8b06b, 0xeb44d287,
+    0x8b8c73d7, 0xb1bfecc3, 0xba3c3ae1, 0x029ea83f, 0x92abac45, 0x51c7e905, 0x80aa4d90, 0xe68e4e09,
+    0x9f1bf242, 0x844e1d32, 0x074ea3f6, 0x86922c77, 0x7fd57a43, 0xaa6f5805, 0x621474ee, 0x9377d482,
+    0x0b4c5709, 0xb7a999b8, 0x2ca214b2, 0x7498f21b, 0x51c06a2e, 0x2b8acfb7, 0xf8973f40, 0xc4a12d57,
+    0xf1cfe9c7, 0xeae477e1, 0xa1b89cae, 0x30ef98a2, 0x806a17ca, 0x41c660a0, 0x372c8087, 0x41217d72,
+    0xbf0ecb89, 0x0ecd24bb, 0xe508b8d8, 0x103844bc, 0x6073d766, 0xc9a5522f, 0x0265825d, 0x097d9f0f,
+    0xfac4d575, 0x7e06ff81, 0x39b1bb38, 0x78a23373, 0x94911ee5, 0x7fa95c2b, 0x50bb3422, 0x016fe0c6,
+    0xb2c36670, 0x58527292, 0x427585c6, 0xd522b942, 0x6926bf62, 0xa3953609, 0x5b757172, 0xbf761e3c,
+    0x59098eeb, 0x5d0f8a02, 0xafb44342, 0x6ec72676, 0xbe691e76, 0xdd8b4b7f, 0x53417085, 0xfecd2d00,
+    0x597163f4, 0xb7a99dfc, 0xb8685679, 0x2fcad827, 0x4dddc765, 0xbcae5bed, 0x4f87aed1, 0x2570d9b2,
+    0xfe2a850d, 0xb0594eb6, 0x281c97d7, 0xc28e0deb, 0x66ecf021, 0x64281fbc, 0x9389eeaf, 0xf7f1a81e,
+    0xdb780df9, 0x99016382, 0xf971f849, 0x0da11ea4, 0x74f68f80, 0x70e419e3, 0xb76df1bc, 0x48a8ba4e,
+    0xb81eba52, 0xcc5fc4ae, 0xaf9394a9, 0x0b36df35, 0x1cda0212, 0x00469188, 0x2f037e59, 0x1b21951a,
+    0xcfe293cc, 0x93b7b736, 0x0e83b336, 0x4230f3a5, 0x29fc5264, 0x82461012, 0x10921a3c, 0xc9d7dd3d,
+    0xc2b952ad, 0x33e0a2eb, 0x835e6ad1, 0x2f1a2c5b, 0x8bbbe285, 0xa699fa05, 0x615417c1, 0xb55726b5,
+    0xdd07cd65, 0xec66a95a, 0x8b764d01, 0x1d1806a8, 0x37dc6a7c, 0x6efae9ec, 0x60a3a27e, 0x5725979a,
+    0xf01b8c7e, 0x04005e67, 0xe141148b, 0x9d54b261, 0xea085b9c, 0x1c269a73, 0x0bd31bac, 0xfd1d6583,
+    0xf07e43c5, 0x19626261, 0x5b2adfba, 0x7c58e1b0, 0x8e7edd88, 0xcde02069, 0x99fe5ee4, 0x4be132a1,
+    0xc1c32eeb, 0x85e21906, 0x238e38d6, 0x86026102, 0xf376404d, 0xe891969e, 0xf31043ed, 0x973bc238,
+    0xfbf76396, 0x9c9ef1fa, 0x2111a92f, 0x0f218cd6, 0x498e3677, 0xc99ad22d, 0x0991c24c, 0xce52914a,
+    0x57c38f6f, 0x0f0b488b, 0x7852d1d8, 0x76dc5164, 0x257df18b, 0xcbd79f86, 0x5797e4cb, 0xc1593565,
+    0x32a35ae7, 0xc2247258, 0x8eb83948, 0xc7dd9669, 0x46a1acef, 0x55a34771, 0xf14d5237, 0x7fe06ebe,
+    0xa6eab869, 0xec460848, 0x7df8c5ca, 0x8e4b8508, 0x8d981cd6, 0x3d8de7c1, 0x7e94552d, 0x1058a274,
+    0x9b663e45, 0x65ac1449, 0x8fbe4a75, 0x3314360f, 0xa56818e6, 0xeebeee10, 0x92b981e3, 0x57717c79,
+    0x48ec0f6f, 0xe58facd0, 0xef6067ce, 0x69b9b904, 0x72ad71a4, 0x031224a6, 0x5292375b, 0xb4d55844,
+    0x42587e7d, 0xe5de74f7, 0xfa48821c, 0x238f02e4, 0x24645f72, 0x64f368a0, 0x26b91163, 0x194743e8,
+    0x11ef9470, 0x8f48dcf0, 0x7acdadc9, 0x6aa8e41a, 0xcdee1433, 0x6989d541, 0x918d0fa1, 0x27354c5b,
+    0x965b5d5c, 0xe25f719f, 0x1fbfa6ce, 0xd254476d, 0x73300c63, 0x306996d9, 0xff6041f3, 0xfd5e605b,
+    0xcfd81dfa, 0xffd0a584, 0xdb619b38, 0xaf92e697, 0xd568c8b1, 0x0aa2a4a0, 0x462529ee, 0xfcd0e35b,
+    0x4ed1c3ed, 0x3700c0d1, 0xb6971aa2, 0xd8499d47, 0x7ffd1532, 0xc8a9edbf, 0x257971a7, 0x9bf9549b,
+    0x519c3be4, 0xdd3c5066, 0x024729ad, 0x180ae830, 0xbd128029, 0x96c863cd, 0x21bc586d, 0x75338b78,
+    0x66a6fbfe, 0x0b074f90, 0xb9546a97, 0x6cd6f01b, 0x9bd8b2ae, 0x65a083c7, 0xc5225f31, 0xcde3c281,
+    0xa9f0d2ba, 0xcd059f57, 0x557e2ed6, 0x06b0605b, 0xf653d10e, 0xaceb4412, 0x2ef06a67, 0xd1ce4841,
+    0x0cbfbce4, 0xfb18a532, 0x4f2342bd, 0x042fdbf1, 0xadd79ee2, 0x857a20c5, 0xb5364951, 0x9a713d89,
+    0xba7d16a1, 0x1dd98ae9, 0xf99aa339, 0x67d7e331, 0x7a6d9a6d, 0x82db4ee1, 0x38b221fb, 0xfb007116,
+    0x1bbc1724, 0xd8a3210e, 0x955c6330, 0x4927b7d6, 0x5e67b815, 0xffabbd1a, 0x98aa36d2, 0x43b6ae30,
+    0x3bf582b5, 0xfb4c13b3, 0xcfeb2838, 0x546216ee, 0x250fc1de, 0xb2004230, 0xd26949c8, 0xcf13b760,
+    0x6b657a52, 0x6bb01f11, 0xdae8994b, 0x6a3d5f6f, 0xa734509b, 0x4a689537, 0x12224aec, 0xabad1ebe,
+    0x94c5b6f4, 0xe8703e83, 0x5244046f, 0xdf8ecdbe, 0x1bf7660d, 0x5c064eae, 0x2abe7ede, 0x9c2f63d1,
+    0xc5bda1db, 0x4f32b4a8, 0x9bf781b6, 0x8952cd0c, 0x052d686c, 0x0d5f3ee5, 0x791c0764, 0x56af7597,
+    0xe9233304, 0x7ec7c303, 0x8867db2f, 0xa6b06fdd, 0x08a31d78, 0x379f5022, 0xdacfec56, 0x6030670e,
+    0xbd4ca366, 0x470fbaa4, 0x5dec5264, 0x562e980f, 0xefdc1248, 0x20a9aa35, 0xa6bd413b, 0x24e262d2,
+    0xba7e68fa, 0x07f484a9, 0x5f998cf7, 0x0777f388, 0x46497afd, 0xb1ed2a4c, 0x7a0ca58a, 0xf9a13429,
+    0xa487dd5f, 0x3cf36747, 0x8bf0a852, 0xb0987082, 0x2b6e31cd, 0x11772fc0, 0x2201ba55, 0x3618b06d,
+    0xffbd907e, 0x63f4aefc, 0xd2e03cda, 0xe21aa0dc, 0x5c6751af, 0xe4ee0f83, 0xaf95c2a0, 0xe9cab37c,
+    0x235f51a2, 0x4c093b9d, 0x2c371ce9, 0x3023ec65, 0x762a1a52, 0xf2131c1e, 0xaaa78cb4, 0x99781f97,
+    0x23b8865a, 0x88c99cf4, 0xbe783e22, 0xa0d4c531, 0x2ca39cb5, 0x29e877ce, 0x84b1859b, 0xc3918405,
+    0x46e549fc, 0x1800d424, 0x4c8a6e20, 0x1e3e31e4, 0x1146a274, 0x7bcb602a, 0xd2ae8aa9, 0x8617afba,
+    0xb67ebeb5, 0xe567a598, 0x816559c1, 0xe4996dde, 0x51b219e0, 0xbd6befe7, 0xebe3bcf2, 0xfd5b798f,
+    0x869b4f65, 0x6e662c71, 0xd9dee462, 0x51f97713, 0x4bfc3bd0, 0x684c1c7b, 0xb46ad3af, 0x53de69d2,
+    0x169c09bc, 0x4a75c9f2, 0xee536448, 0x9c87794b, 0xb19e84a5, 0xcab5eaa9, 0x5ba01913, 0x6e07ece4,
+    0x304b62c4, 0xee559c52, 0xeff8b235, 0x89344183, 0xd6c0c9dd, 0x3de86d7a, 0x94d93acb, 0x020edb81,
+    0xabbfdaee, 0xf8bad190, 0xfdf6cb52, 0x3f72eac6, 0x88fd278b, 0x54a0c43b, 0x95c1029d, 0x18636fb9,
+    0x43bca10f, 0xbbd9ec2f, 0x6b7541c1, 0xde910a39, 0xc739a263, 0xc908c8e1, 0x081b508b, 0x276d96a2,
+    0xcd70b980, 0xd07b9f08, 0x31214d33, 0x453498e4, 0xa027808d, 0xeb2491dc, 0xd091cb23, 0xd32788a8,
+    0x93a7124b, 0x1bc4b1ad, 0x35dd9fc2, 0xa7b25714, 0x0bdc5a74, 0xd354acbf, 0x538f6256, 0x83823473,
+    0x2a4bfd84, 0x7efdc77c, 0x0ead6a5e, 0x272a22e9, 0xb6930b56, 0x2e00d20e, 0x9e513b6c, 0x069d04dc,
+    0x8cb50e3c, 0x2a430008, 0xf0931639, 0x54dd629d, 0x17be11c5, 0x19c553cb, 0x95080781, 0x2025338b,
+    0x47f59afd, 0x7d7f4caf, 0x936a105b, 0x02bb37b8, 0xf7fb2696, 0xa0beaa8d, 0x65511ab9, 0x041314a5,
+    0x5309c6a4, 0x4266b9ed, 0x2182dcaf, 0x68d6f413, 0x700dcea9, 0xfa9a3f9f, 0xba2fad67, 0xf8f20987,
+    0x88423d14, 0x949b4504, 0x85a4e993, 0x7ca63227, 0xab005aae, 0x3eba2b1a, 0xe4deb6a3, 0x371cbf51,
+    0xd238f242, 0x78482876, 0x24d9332d, 0x8c2ada50, 0x4613518f, 0xab3241d5, 0x909905fe, 0x60d2f287,
+    0xccff7d06, 0x8f58707d, 0xe662a3f7, 0xf233eec0, 0xb8d042d6, 0x87f394d1, 0xa29febd9, 0x952c4d76,
+    0x06beabaa, 0x16b8aa63, 0xcfcd9617, 0x69799a66, 0x459a450d, 0x1a0c0028, 0x5507ebaf, 0x693748f2,
+    0x4ff37b4d, 0x88afc337, 0xd410c644, 0xb0ec9ebe, 0x7927e238, 0x37006139, 0x003f9d99, 0xc068f9ad,
+    0x30e8d86f, 0x7a38207a, 0x1a8ac76e, 0xca42b2b0, 0xdb547116, 0x55e0a17f, 0x31d81033, 0x61c0de86,
+    0x7349dc64, 0x888cd47a, 0xa7ee3c61, 0x814a30bd, 0x7ef45c62, 0x573e2ab7, 0x41980960, 0xb8b87231,
+    0x36c9f098, 0x038976bf, 0x190ccb4a, 0x6d80b3c9, 0xb6b93ab0, 0xf4bd1fff, 0xab5c89db, 0x56cec06c,
+    0x0fc642a0, 0xb1c981f4, 0x39610f5b, 0x8ff5717c, 0x3971eb80, 0x9e83e88e, 0x91a6d86b, 0x561a6ca5,
+    0xdf41e1d5, 0x2e4ed8d8, 0xd5173deb, 0x95cff453, 0xce3b60f5, 0x5348e93f, 0xde2a7abc, 0x6d5a3b02,
+    0xf934c6bf, 0xb364fa22, 0xf3b88e12, 0x9d121280, 0x9fa4ad3a, 0x4180d0a7, 0x46e1744f, 0x020706d0,
+    0xdb1f6e98, 0x809436f7, 0x010e2689, 0x68114770, 0x3c116362, 0x8bfd2ad4, 0xe7037751, 0x4dac8383,
+    0xe9438cd4, 0xe6223dfe, 0x41b01818, 0x0fe0eaac, 0x64972e40, 0x50bd754b, 0x62a8ba67, 0xc19640ad,
+    0x9ac3719a, 0x5c331a9a, 0xaf626b2e, 0x41690879, 0x5ffad3d2, 0x4e890783, 0x01273348, 0x4b4bea4d,
+    0x346172a3, 0xed201e36, 0x8672666f, 0x820012b2, 0x3c2e7dec, 0x885e6aef, 0x8c3c9a37, 0x011c3293,
+    0x4f093c76, 0x36497f9f, 0x44330f47, 0x37ff976c, 0x67ac1622, 0xc0d292d1, 0x816d0a50, 0x9d1e473b,
+    0x1248fbb4, 0x130330c0, 0xe3d3e1d8, 0x30742bd1, 0x0214190b, 0x8d55738f, 0xf85d4e66, 0x0b0aa570,
+    0x7bb50685, 0xc3c1622c, 0x9b0f5370, 0x485af314, 0x0e9a2b89, 0xbd8e6934, 0x273c74a5, 0x03fcb18a,
+    0xc4218b01, 0x84e6d331, 0xfdcff22b, 0xe7e1ca1a, 0x3d764b55, 0xa06f369f, 0x8b96628c, 0x85c15f3b,
+    0x05dbff18, 0xac5f946e, 0x1db2a079, 0x109e720a, 0x7a361393, 0xbea1fb6c, 0xa485328a, 0xed265c4f,
+    0xd69e5aa1, 0xa39c844c, 0x528a4205, 0x814d590d, 0x3cda245e, 0x5eba753a, 0x8bae4ff0, 0xce5fe581,
+    0x2a421c91, 0x831ceb83, 0x6cf3a856, 0x5cd51687, 0xe6a1435b, 0xfecf364e, 0x1276b013, 0x4b1c4b0b,
+    0x1b78f3db, 0xdd6d5c99, 0x420b9660, 0xf720f092, 0x430e6f02, 0xa6f16df1, 0xf1d216be, 0x6df157e4,
+    0x13810c78, 0xb95ff2da, 0x0cbb522b, 0x87d82609, 0x3832cbc0, 0x3f8a3066, 0x11b6bf98, 0xee16d4f6,
+    0x47331e1d, 0xb1a87770, 0x80a349bb, 0xe1949407, 0x6009b5c0, 0x1e0d44f4, 0xf996dd56, 0xb7f7a127,
+    0xb1c6ebe2, 0xee938093, 0xda9d6b32, 0xd78176f8, 0xfc9708f7, 0xfc125d60, 0x41af4b53, 0x2dc48b77,
+    0x65627252, 0x4b31acd9, 0xcd9c73a6, 0x62e53c76, 0x41812d4b, 0x8d83cef0, 0x9b879aa5, 0x61f1f59a,
+    0x872c7723, 0xbfd61e45, 0xa81ca917, 0xc1ee6302, 0xa2fe2765, 0x2bf9bbe0, 0xa7640902, 0x5003d443,
+    0x77f5f52a, 0x17b35580, 0x8c03c582, 0x87fa73ca, 0xe8f8d81f, 0xb03e6065, 0x92b70a34, 0x5fe1627e,
+    0xfb16d461, 0x8db26af7, 0x63d2084a, 0x54ecfd4a, 0xe0b85f70, 0xcd1a19ab, 0x1e0de17f, 0xfba98b3f,
+    0xa767b804, 0x49c3aa99, 0x34a0d751, 0xb410dffd, 0x6f547a1a, 0x4aa47584, 0xc8ccc1f4, 0x0339354e,
+    0x7d1a9e8d, 0x60c382e6, 0x33eca55c, 0xb69bb6d0, 0x64c04a69, 0x78928ede, 0xeb42d07b, 0xc4104bf6,
+    0xc5be00bb, 0x743c7982, 0xe9a14ae8, 0x997ff68b, 0x4159637f, 0xdcd639ce, 0xeb983913, 0xb9b59f0c,
+    0xb51adffa, 0x32e71df4, 0x651f2c17, 0xea1de3ba, 0x70218550, 0x35a74ea3, 0xd0f168cc, 0x2f980d80,
+    0x6caa29ee, 0xe84757cf, 0x3e2c9d1a, 0x3541fbb3, 0xfc017cc0, 0xd217a795, 0xd362a7e4, 0x34b36615,
+    0xa167949e, 0x4c3eca06, 0xbd4b0821, 0xc5bdf9b8, 0x93161493, 0x3220e858, 0xdec8e9f5, 0x891fd014,
+    0x30438c54, 0xcc73bebc, 0x31235131, 0x4046b8c9, 0x119c4674, 0x5f5d7132, 0x0458602f, 0x7fbb84d5,
+    0x0b6e78b0, 0x56720bc2, 0x6a7e252f, 0x55e82308, 0x44107ee3, 0xccb5449a, 0x0828f7aa, 0x32dbd78c,
+    0xa68d5e25, 0x5f7d63de, 0xb5b8e7d1, 0x642cf734, 0x9cba8b56, 0xdcd7bfcf, 0xa8211a44, 0x6f4402e0,
+    0x43652c09, 0xfc702693, 0xd17c24f1, 0xad98a923, 0x23094d62, 0x6a7d55f7, 0x95d308d2, 0x5fe38362,
+    0x5bf3444f, 0xc8fe3717, 0x896ae4ee, 0x2ccf1c87, 0xa2f41c9f, 0xaa580167, 0x1dcb0cbc, 0x7485a795,
+    0x6a373779, 0x23d552a2, 0xdec6375c, 0xb2f36f43, 0x75460e63, 0x68f9a4dd, 0x788f2548, 0x653c3b59,
+    0xd5b81f68, 0x60e14a3b, 0x31c414dd, 0x69433e09, 0xb9a7f2a9, 0x1f2ae27d, 0x9caee6b5, 0x333fc913,
+    0xd3cd0e7b, 0x0ba0de16, 0xf155c936, 0x3f87ee03, 0xd30816ce, 0xecbe38bf, 0x95849491, 0x53f0856f,
+    0x8705a0e8, 0x4e30b073, 0x44c37c47, 0xf9ebfa11, 0x03834f30, 0x4e59976e, 0x3165898c, 0xabb468af,
+    0x22584574, 0xa9d2dd49, 0x0647db4f, 0x5540e553, 0x2a587cc9, 0x05bff9b3, 0x9e2aee0b, 0x5ca0070c,
+    0x80009988, 0x8c44e8e8, 0xe4fe9543, 0x8850bb3b, 0xefe1f7d5, 0x75b5658d, 0xa9064367, 0xb67e9cd1,
+    0x1553f42c, 0x6e5ff779, 0x1f73c2c2, 0xa008f0fc, 0x1cb28aca, 0xc5114444, 0x09ea0d13, 0x7113d986,
+    0xbfe7c851, 0xc2ffb3b2, 0xb56a52d8, 0x8a318f39, 0xdf2ef51c, 0x7680c0a3, 0x9602baa1, 0x17a26566,
+    0x1a9e0d30, 0x59038469, 0x0fec21c5, 0x5845b3d8, 0x3a23035c, 0x4634f489, 0x72c8b3d8, 0x208d5f4d,
+    0xbdf33cc7, 0xf2bef30f, 0x9c91eba6, 0xc4356fef, 0x73e1dd9a, 0x5d7b92ba, 0xc6d0b607, 0xfd989412,
+    0x1fe8d3b1, 0x8fa659a0, 0x1aefde28, 0x420786be, 0xa3dafb41, 0x275d6c80, 0xda9ce973, 0x408228b8,
+    0xeaab5722, 0xf1fb2a7a, 0x36cb70d3, 0x21105684, 0xc200d860, 0x8f36c466, 0x48050d1c, 0x44907423,
+    0x1839b641, 0x05c8e0cf, 0x62317726, 0x51d37bdf, 0xce6786dc, 0xa50e513e, 0xcc1d7fca, 0x23b4db99,
+    0xe0b2f325, 0xf93dd086, 0xc1e0481f, 0x498581d8, 0x1ccab336, 0xc47494ea, 0x6cf78045, 0xda591d79,
+    0xf669d1bb, 0x1db7ba4e, 0x8ea8a8bb, 0xd628a3a7, 0x0ed4c20c, 0xca3ff3dd, 0xca57a488, 0x56ff55ab,
+    0xbcb12985, 0xb70bd480, 0xc5919ba0, 0xccfaa351, 0xf506f0bc, 0x5608b77d, 0x7232ee3e, 0xbaeda80e,
+    0xb597c6d5, 0xb4d7f020, 0x6988f3fc, 0x0fb9242b, 0x8869cfc2, 0x6173780b, 0x4e100c5e, 0xabacbfeb,
+    0x22ae934f, 0x3a76a97e, 0xd90eb3c0, 0xaadae964, 0x7b1e0523, 0xf956212f, 0xc8093428, 0x084dff5d,
+    0xfcc940f9, 0x275f3eb1, 0x8ba14fbe, 0xf0daaada, 0x160c2cbd, 0x3a52b218, 0x4d1242c3, 0xbb262c42,
+    0xde44efff, 0x36d4b0d5, 0xf90b8b8c, 0xd7825da8, 0xe6b38a47, 0x43cdbc7b, 0xe8b7cae7, 0x0f415023,
+    0x9a306627, 0x1170d773, 0xdf66550b, 0xea1571ac, 0x0486c613, 0x1f147c68, 0xc55dbe92, 0xf14d434e,
+    0x8274dcb8, 0xa38b910f, 0x21416be8, 0xe59f84d4, 0x651f8179, 0xd307e6d4, 0x1679856f, 0x880432ac,
+    0x6a369f26, 0xe039339c, 0xe339afd2, 0x4b2581bc, 0xf0bc2e9b, 0x27154225, 0x7a99b0ec, 0x840759ba,
+    0x00000000 }, /* 10**00000000000000000000000000000026442238751609943958076612321310841593136187318\
+                         57124877138595181097623164945245383300756841758861139390364848100093433217024 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af,
+    0xf1bd9d6a, 0x748db564, 0x04173c2c, 0xe833287e, 0xf4eea8f9, 0xd1f125f5, 0x5b1d685e, 0xb0a1af71,
+    0x00000000,
+    0x9849bd5f, 0xac846c92, 0xe389415f, 0xdedf5439, 0x6bb378bc, 0xcc0d43c4, 0x1f41ec78, 0x87b319de,
+    0xf46f7f85, 0x3992e5d7, 0x10fb58da, 0x45e8dad5, 0x99000ce6, 0xa00a6212, 0xaa4fc7da, 0xfc8a1dff,
+    0x47f302dd, 0x2cb615ba, 0x0703ed67, 0x731ec9a2, 0xef0328d9, 0x21302c8d, 0x7b19e465, 0xfc921917,
+    0x793a2b79, 0x4b14347a, 0x1b68efad, 0x408e22a8, 0x3a4bcc45, 0x0c34d465, 0xe5a299ea, 0xc8728c1c,
+    0x76c7bf20, 0xad19b58c, 0xbefe0fc8, 0x6b0aad86, 0x02748ead, 0x63e116ff, 0xb12ec6a2, 0x1405bbc8,
+    0x4f544d1e, 0xfeffc964, 0x21c0a4ec, 0xa6d8f53b, 0x61b951c7, 0x4793d9a1, 0xbbad3b3a, 0xfc6ba1b7,
+    0xd66ceb32, 0x6e1a14de, 0xdd6186ca, 0xb49226ff, 0x252360bb, 0x088a2a9d, 0x5954f5d1, 0xe5488171,
+    0x987d203c, 0xee42dc64, 0x238597df, 0x7202ff54, 0x581ebbaa, 0x7e296283, 0x5f530351, 0xd0ebff43,
+    0x3196764d, 0xc93c8c6c, 0x10c517fb, 0x8c6e2266, 0x1a324235, 0xd274be03, 0x5759728b, 0xfed5d1b0,
+    0x0a07a047, 0xee7af4f3, 0x797c9a81, 0xce7da332, 0x6acb559a, 0xa54bcf51, 0x00e0c711, 0x05f979f2,
+    0x9d38ff19, 0x2fd2b174, 0xcef29008, 0xe27966d3, 0x292d2205, 0xb21a84a4, 0x7c4f6a74, 0xd435978c,
+    0xf068908f, 0x34e1f53b, 0x97b15bb8, 0x799361a3, 0x14332529, 0x47c99449, 0xe0232c6e, 0x3bd1fcfd,
+    0xc4943f02, 0x39b627ad, 0x8a55e8a4, 0xe490b8cf, 0x83840383, 0x47da215f, 0x1931952e, 0x3c250b62,
+    0xd4788751, 0xccd4477e, 0x01341572, 0x4a9ade41, 0xde474ade, 0xd36677ee, 0xb1d906c4, 0x53ac8b74,
+    0x4544d71f, 0xf143e238, 0x07b81fd6, 0x4d48fb7a, 0x4ede0598, 0x36d2a938, 0x098154bd, 0x7a73272a,
+    0xd6addb61, 0x64d84b06, 0x0ef1c9cf, 0xebeb3db9, 0xfd9c6c59, 0xcdfd20bf, 0xf36f6149, 0xe6135e98,
+    0x57e31c77, 0x31cd18cc, 0x19b24792, 0x4688621d, 0x707b1257, 0xe792e83b, 0xde528988, 0x0e9e5522,
+    0x4ecddef2, 0x784765ee, 0x8eb570f9, 0x867d9f5c, 0x7e9084de, 0x5bb2897e, 0x11612021, 0x379fdfbc,
+    0x8d3a9fe1, 0x8ec62ca3, 0xa275ec91, 0xc88a87fc, 0x8171d39d, 0x2446cd39, 0x1e4b73dd, 0x47757ff9,
+    0x3ef6695d, 0x99ac326e, 0xd6c1a9d4, 0xb0ae6ae2, 0x3283f9e4, 0xf8144137, 0xed919c5f, 0x453a005d,
+    0xfbd2f9d1, 0x97ada85c, 0x57a80bd9, 0xba95feff, 0xcc307814, 0x21639e92, 0xfe17f78c, 0xf8fef794,
+    0x248189c7, 0x0643fb1c, 0x7f0d96a1, 0x36fa0d13, 0x64751cae, 0x5ce1ff48, 0xe32a3cfc, 0x25301e3e,
+    0x226ba5d7, 0xdbc5a90b, 0x30da76d0, 0xc77d2942, 0x6908a484, 0xaecae967, 0x0b647357, 0x978d7666,
+    0x6cd08482, 0xa9f3709c, 0x222ba6eb, 0xd4f424ec, 0x445749ac, 0x1c2dfafa, 0x449fb2f0, 0x54868c70,
+    0x23fb0957, 0x99c92a71, 0x10d300f4, 0x7e31ff5f, 0xc7ea1cad, 0x2e439e69, 0xab1f695f, 0x66ed9890,
+    0x8bab9cc8, 0xc32f9fcf, 0xe39fc4ea, 0x759d680a, 0x080a5c5f, 0x5f42cce0, 0x75d69d19, 0x26cc706e,
+    0x7761c92b, 0x7fc094c2, 0xbb616d9a, 0x5086dd14, 0xfeee1213, 0x5a286378, 0x7849bcb2, 0xe47a99c8,
+    0xe96ab726, 0x8eff6029, 0xfb3b0d50, 0xc9ba5304, 0x1572b64d, 0x755b8903, 0x8e8d51cb, 0x62f4a32f,
+    0xd55dd305, 0xe29e92c4, 0xc2958137, 0xef9d6279, 0x14ef3463, 0x79bbff53, 0x5226f5b2, 0xc9a02e0e,
+    0x84b994fe, 0xfd23785d, 0x1bf0f7d6, 0xf4890f3f, 0x7bcb0baa, 0x73eaa2b2, 0xb4d878a5, 0x8d30b88d,
+    0x291e2999, 0x0295e4ee, 0x93b774b4, 0x716d3341, 0xae0554a5, 0xf4a89776, 0x1a876ae3, 0x7ef3adb5,
+    0x43203172, 0x5ddc6413, 0xeac612c1, 0x12d85a49, 0x3a7f3c92, 0x07aa31d6, 0xa36db414, 0x27044735,
+    0xb913524d, 0x5279abd8, 0xc56d962e, 0x1bbedf55, 0x5fcfc9a0, 0x8be709c5, 0x967aefe9, 0x4b35c9ad,
+    0x85da3e66, 0x4465d357, 0xfeb6b0a0, 0x8073c82f, 0x532e20aa, 0x7311c10c, 0x49b94944, 0x19388bd6,
+    0xf3812f87, 0xbedbd143, 0x8e08cf4a, 0x30ec9278, 0xd3b482b6, 0x99b24ef6, 0x97bd3b75, 0x81a36685,
+    0x544d0f3a, 0x99986d6d, 0xb903b851, 0xf7be8f62, 0x6f14a084, 0x35d56ed6, 0xec138e6f, 0x46c0847a,
+    0x82eda5cb, 0xe48b990d, 0xc5b16d97, 0xf8517493, 0x690a88fe, 0xed85ffd4, 0xaaeecf0e, 0x480a232e,
+    0x801c4b8c, 0x9f3d43b8, 0xf01f8e59, 0x09caab2a, 0x453a52b5, 0x9f1b6f9b, 0xe7ca1acc, 0xbff96a9c,
+    0x082c056e, 0x4d0e28be, 0x5ad0ac7e, 0x60829f41, 0x8898d5e0, 0xe46b9361, 0x85e3b4a3, 0x24bedecd,
+    0x9b8c7fd5, 0x855bf521, 0xf0204a47, 0xac7cbad1, 0x2c281464, 0xd6d361ca, 0xb923349a, 0x4bc39568,
+    0x3a5cc04a, 0x6ee8969f, 0x81e8fd63, 0xbb6a5a8f, 0xba806d3f, 0x55ca1def, 0x8d21cb67, 0x24be09ff,
+    0x7ab9fcfd, 0xdef65b43, 0xb228ec3e, 0xe28523b6, 0x512b218f, 0x078d49b2, 0x17789270, 0xeb2e7da9,
+    0x693d5e9e, 0x6b172875, 0xd6f2b650, 0x10b570b1, 0x286e439c, 0xb5d79962, 0x35eb74a0, 0x16181e0b,
+    0x3b32474d, 0x2fd6bb07, 0xc1a30d43, 0xb23a9b9c, 0x1dc33697, 0xa3882230, 0xf8ef4352, 0x79bd0a34,
+    0x4241aae1, 0x9e385cf4, 0xc0f951cc, 0xdc8f5384, 0xfb4869af, 0x2b7fbcef, 0xa857c6f7, 0xc1ce46bf,
+    0x96199cfe, 0x59685e32, 0x8c1c5dff, 0xed3d3fca, 0x13a54394, 0xd1a40b43, 0xd7e883f8, 0xe44c0932,
+    0x61968480, 0x8c24beaf, 0xa9becc79, 0xd6290f1b, 0x8ab789e4, 0xc16237bc, 0xb210e391, 0xdbabb87f,
+    0x4ee125ff, 0x2f034aff, 0xa517839d, 0x7d2f330f, 0xc694a772, 0xd816a220, 0x2ce8ee49, 0xfdb31847,
+    0x92c134e9, 0x6a1a70af, 0x6bd7aaef, 0x89cd1885, 0xd77e4002, 0x4b7a0e6e, 0x18cd27ac, 0x89985579,
+    0xc291b50e, 0xb7c48a70, 0x6213054b, 0x626973d4, 0xf5cdd1a0, 0xad9f2bdd, 0xad28509e, 0x533995d4,
+    0xd780d4da, 0x7418f5d5, 0x4c792c70, 0xbb56ac9d, 0x0df36415, 0x126edad5, 0xbc8b1288, 0xf9396132,
+    0x9185ad54, 0x93716c69, 0x5812949b, 0xa815c10d, 0x219adf61, 0x98a8ca31, 0xff3471cd, 0x84ab160e,
+    0xf5983b59, 0x8f2ef60c, 0xa5cd6111, 0xccf175e0, 0x02e1171e, 0x7e1062b1, 0xa0dd3f3f, 0x0d90cb41,
+    0xeb894736, 0xac3499ca, 0x2496efd7, 0x0a637df4, 0xa0c1947c, 0x22141c74, 0xf82897f2, 0xa00bdc4c,
+    0x101d9419, 0x99374397, 0x552b57a1, 0xf0a097bc, 0x8da10842, 0xec4a6464, 0x05c9e796, 0xe68778fa,
+    0x8055dc7a, 0x031c6d50, 0xe1a6cfea, 0x71a28f9a, 0x964184eb, 0x73f2fe08, 0xe06d90bf, 0x0593ec50,
+    0xf5828c87, 0x64d29571, 0x0dc58403, 0xb0bc130b, 0x2c3646fe, 0x2a87a612, 0xf0507c48, 0x4eac78ae,
+    0x1df0e57a, 0x8421729c, 0x33dfb17c, 0x9f97843d, 0x47575d65, 0x46c1147f, 0xecf89123, 0x7f529a02,
+    0x773cc10d, 0xa6a34739, 0x749e247f, 0xff9d421d, 0xcde4eed9, 0x38ed57d4, 0x1f8814ca, 0xe68bea60,
+    0xbd858425, 0x594e030b, 0x6e1ac679, 0x8fa651eb, 0x8216b1ff, 0x89f278de, 0x77fcc03c, 0xe5ee66e3,
+    0x983333f5, 0xe8d74886, 0xae0c2c35, 0xeb707bcc, 0xe52562b6, 0x420d9af8, 0x2145a763, 0x9f00e138,
+    0x6eab5ab8, 0x6fa17e51, 0xc266b239, 0xf27ff66e, 0xa8b12501, 0xa25bfd94, 0x58e591da, 0x67d9e72a,
+    0x985669f4, 0xe3fe70f0, 0x322873b8, 0x7d47ed50, 0xe761fcc4, 0x56b6a7ce, 0x9146d09b, 0x8f0d83df,
+    0x67e85bfa, 0x129c58ee, 0xb6000c36, 0x0217063a, 0x3d8ce4b6, 0xccc3a7de, 0x4b9ee1ca, 0xafcc48ca,
+    0x0f47963f, 0xfec57540, 0xc6c34f67, 0x4de6bbf9, 0x46239b18, 0xcc7af654, 0xdb870f32, 0x168a020c,
+    0xd4f3d757, 0x050d5652, 0xf931852e, 0xef3a9056, 0xe061ac03, 0xe0648e04, 0x286542cf, 0x9c3de696,
+    0x20c1b7e2, 0x9ab5f245, 0x639ffd13, 0x94abeb9f, 0x46268bf6, 0x516e1790, 0x3b4b504d, 0x48821370,
+    0x8e4ab2d9, 0x3288d25a, 0x61a45cb9, 0x2c895add, 0x4053e947, 0xfff324a5, 0x6b7962f5, 0x002d119d,
+    0x4cf30a98, 0x5e6bc05c, 0xadda2625, 0xdc504422, 0x3b944121, 0xe966c6f6, 0x24cd17e5, 0x13b1c1f7,
+    0x297fcb76, 0xe2916f20, 0x79c907cb, 0x8ed8c282, 0x7db19f54, 0xb85a0381, 0xbeb02e91, 0xd9b56409,
+    0x6d5196b1, 0xa5a36e00, 0x70c296cf, 0x9601ced7, 0x95788c91, 0x0a7c97c2, 0x488ee464, 0xa68b6064,
+    0x26b4d302, 0xb3e29ee1, 0xf4896442, 0xbe4295b4, 0xe45ca6bf, 0x88f12572, 0xb7f004df, 0x96863a19,
+    0xbbb552e7, 0x227e316f, 0xd859dfab, 0x33250cf4, 0x7e6c080e, 0xa413ee45, 0x7a085f65, 0xfb555d64,
+    0x403ec807, 0x480fb9a9, 0xd44a6b00, 0x21ea3c4c, 0x484710b1, 0xd4c765d0, 0x29b2c8e2, 0x3adba3b3,
+    0x75215afe, 0x09562bc0, 0xe301b13d, 0x2d97f123, 0x00339b5f, 0x62b14377, 0xb6ff4ba1, 0x792cd43c,
+    0x020d4942, 0xb80880cc, 0xd05ae19b, 0x7ab4ba0b, 0xd9f56068, 0x3ea68429, 0x3d10e27c, 0xd3925a90,
+    0xe09ae1a4, 0x21a97c08, 0x918a2e69, 0xc42c197b, 0xe1997a49, 0x8df6c565, 0x8b0a2e07, 0x514c7756,
+    0xc76b151f, 0x06195e57, 0x69cd23df, 0xe18b5eff, 0xd1814f9b, 0x2b4fbaf8, 0xac34c34e, 0xd17c9671,
+    0x59f54169, 0xa4f8856e, 0xf772d361, 0x540dc553, 0x4681759a, 0x6b1c5ac0, 0x624f2245, 0x9ed52f13,
+    0x0254a2ac, 0x7faac8f2, 0x09948243, 0x4e7e6ec3, 0x83a1cd77, 0xdd25341e, 0xc9997e03, 0x5da0c40b,
+    0xbc98e2a3, 0xf74582eb, 0x1097926c, 0x1ed418d8, 0x3a9d1286, 0x39c82c31, 0xdb2eff46, 0x8b25160f,
+    0x52dc0d0b, 0xa6f4e30a, 0x106c4441, 0xb6c16bb3, 0x846de442, 0xd338dce5, 0x04174e5b, 0x8c6344e6,
+    0x69fe6dbb, 0x294a75e5, 0x032b3fad, 0x44fbb378, 0x84e137e0, 0x7e06d59f, 0x7c5524a0, 0x6d1199ef,
+    0xd6ae399e, 0x3b019f17, 0x5cbb3135, 0x205dea45, 0x38e67992, 0x42075a09, 0x71a1783e, 0xe4ee119d,
+    0x27abd176, 0xf5cbc1d1, 0xd196e074, 0x64c11944, 0x909f4a09, 0x9525cf58, 0x8f85ae69, 0xdfedf165,
+    0x40993e46, 0x6354b202, 0xf3dd8c42, 0xe3ea616c, 0xad4858a4, 0x8aadfec8, 0x11e4e877, 0x60e0337c,
+    0x6d737e12, 0x3822b80b, 0x7727a5a3, 0x9b87da19, 0x8c428b6d, 0xe746f892, 0xa32727e9, 0xca9efa91,
+    0x36fde2bb, 0xebd1ae72, 0x981c960e, 0x213e6500, 0x646cda8f, 0xbd521770, 0xc99ad1d9, 0xadb65099,
+    0xbfc0b707, 0xba680af5, 0xac884f1a, 0x3609089a, 0xa8b32fb8, 0xeb974037, 0xceb3d7b9, 0x77348bcf,
+    0x671eb570, 0x1b5fcd90, 0x18f4a4c3, 0x5f2fc7e8, 0x95acfcb4, 0xc99de9c3, 0xbcf0fd3c, 0x756c8f7a,
+    0x0f599437, 0x14cae399, 0xf9055185, 0x5ef42057, 0xf61c7e7d, 0xba67c4ee, 0x329e8f96, 0x24402571,
+    0x6975fdd7, 0x78ac1d25, 0x8bb44706, 0x3fcc9ff7, 0xc70e03b2, 0x4d98e18b, 0xc84ffa7a, 0x8878d04f,
+    0xc5997417, 0x6c4e9b2f, 0xd71bd34c, 0x049b1ff6, 0xfa591c3f, 0x3676ed6f, 0xc3351e36, 0xbb639297,
+    0x31a92d25, 0xe2ca6c39, 0xd553c179, 0x3f1097f1, 0xcfa9be89, 0x4347d907, 0x1c1d935a, 0x41f699d8,
+    0x2f78c993, 0x102f5676, 0xcaa2f6e1, 0xea4902ae, 0x140aa53e, 0x8b22812e, 0x8dc1d1f4, 0x13c6ed17,
+    0xe26f676b, 0x527a478b, 0xc5f23449, 0x8358d990, 0xf0ce14b3, 0xcb7f6b49, 0x2e59b3fc, 0xd1950efd,
+    0xb59a6b3c, 0x05d1071a, 0x8dc1f0f4, 0x7b47cddb, 0x475df9f3, 0x0556e241, 0x52fcbc8b, 0x5b3a9b3e,
+    0x4bb09851, 0xe26e92df, 0x6f3cf201, 0xd9d81c65, 0xf943660e, 0x358092c2, 0x805807cc, 0xfecda14b,
+    0xbe1c8042, 0xf78a3d35, 0x6258996e, 0x92910b4a, 0xa081db8a, 0x0a287226, 0x85857832, 0x51cc2363,
+    0xea0b5e49, 0xf72a72f6, 0xa2d0f282, 0x0563a4aa, 0x0b7e8336, 0x9aa1193c, 0x712f85bd, 0x0b4cfa46,
+    0x1c74384b, 0xeb955849, 0xdee95d91, 0xc5710c1e, 0x0446ebc6, 0x7ac40c27, 0x35f5ae97, 0x7b027fce,
+    0x679d1b89, 0x517d73ff, 0x4a848863, 0x0e07549a, 0xd30726a9, 0x617e9c15, 0x2f8fd74b, 0x21ba659a,
+    0x95d93fc9, 0x874a318f, 0x0ee48f19, 0x59d2df56, 0xdf0528d1, 0xb849704a, 0x55c6648d, 0x27778680,
+    0xd110da57, 0x3eeb2fc7, 0x4109e382, 0x31533ad0, 0x840191c7, 0xb05c26ec, 0x2c1ab1ca, 0x8ac842ed,
+    0x502ea9db, 0xdcc716c1, 0x273c44b1, 0x205fbf18, 0x1accd378, 0x7c9e0474, 0xe20fde77, 0x8b3bd6be,
+    0x483dd072, 0x7a86ecf0, 0xd55e5c96, 0xfdeaa276, 0x21f42a83, 0x3e73d3a2, 0x5039fea6, 0xf39324de,
+    0x8ac16c57, 0x542af0fe, 0x87658118, 0x208597c4, 0xd19c13f9, 0x34dd5e42, 0x690e83ca, 0x7276399d,
+    0x5b3d012d, 0xea66cfd6, 0x5e6d5363, 0xf16ad3a7, 0xc0e19535, 0x584b0f38, 0xa38b120a, 0xd6baf20e,
+    0x45553439, 0xb5776142, 0x27ab3813, 0xb10b8db2, 0x6776db2c, 0x954ffa7e, 0x9f8d1dd4, 0x39434508,
+    0x87b6659e, 0x553e8520, 0x4f81892d, 0x32bc8c0e, 0xfd53a602, 0x0f5c947c, 0x826e193b, 0x8769829b,
+    0x0bae82a2, 0x82fcab49, 0xb07b4bd7, 0x6a848f0d, 0x5a3dde50, 0x4021b1ec, 0xea93571b, 0x67b478ea,
+    0xba832509, 0x2eb5c0cd, 0xdd2c5969, 0x81b7275a, 0xe593a959, 0x38b76738, 0x7c86d101, 0x546c4ccc,
+    0x839b9775, 0x5e6ddbd0, 0x71ee91e3, 0xc0d390cf, 0x20103991, 0x4269866c, 0x84bc9ec8, 0xe1ee581f,
+    0x0771af3e, 0x386e7288, 0x6221b5e4, 0x636b9fa2, 0xaa676102, 0x139b3abf, 0x81cf941f, 0x64bbe3c8,
+    0x56afa6c0, 0x97c4fd23, 0x809bfd6c, 0x2228f22b, 0xe5a2cc0b, 0x43aa46e4, 0xddaf478f, 0x28608be2,
+    0x4f8ec62c, 0xaa3b3b0c, 0xab09668e, 0x3af4cf33, 0xab2a5654, 0xf0b7d994, 0x59080f77, 0x0a89729b,
+    0x8c32b8da, 0x330b1899, 0x2c705ac7, 0x68a99c28, 0x961b3fb5, 0xd257797d, 0x57293000, 0x40223099,
+    0x5a3f9775, 0x9b1a1cee, 0x9d0179a9, 0x14112de2, 0x570a8a59, 0x3f01fe0d, 0x7eddadfc, 0x66cdebda,
+    0x6e4e017f, 0xb5b80a7f, 0x819ad5b9, 0x597f84f8, 0x6276d838, 0x3e5ebdbc, 0x09dd3573, 0xbea141fa,
+    0x6ae3535c, 0x6fb54bfa, 0xb3bbdd3c, 0x6df34816, 0x45d0f6b8, 0x4b820e75, 0xd1af8f53, 0xfbaa5a1d,
+    0x2a113c9e, 0x57deddc8, 0x0d22b5bd, 0x266c6a9f, 0xe175985c, 0x7afebf10, 0xb24acd49, 0xbbcce70c,
+    0xc4cb66b8, 0x00f19eef, 0xca69470e, 0xab773f8c, 0xe0b67c85, 0x8096e5bd, 0x0267167f, 0xb5fa7f5e,
+    0xa4af7629, 0x991d36d9, 0xcc859de6, 0xa84d379d, 0xff63f1fb, 0xeec7b608, 0xf59998f8, 0x007e8113,
+    0x6bc0739e, 0xdc565607, 0xeec54c6f, 0x9f03ab46, 0x643cdb8b, 0xbff69b9e, 0xf0c82bec, 0x8e6ca285,
+    0xce2ddcce, 0x244e7333, 0x5cf50fc3, 0x626b3dbc, 0xa7243ccc, 0xcafb7fdb, 0x6a4b6419, 0x8c77fd2b,
+    0x7b5e3395, 0x64accd67, 0x3249dbbf, 0x279a8a16, 0x52015f73, 0xa59d6d71, 0x3eaa860c, 0xeac9988d,
+    0x00000000 }, /* 10**00000000000000000000000000000013221119375804971979038306160655420796568093659\
+                         28562438569297590548811582472622691650378420879430569695182424050046716608512 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157,
+    0xf8deceb5, 0x3a46dab2, 0x020b9e16, 0x7419943f, 0x7a77547c, 0xe8f892fa, 0xad8eb42f, 0x5850d7b8,
+    0x00000000,
+    0x8b9deb12, 0x1bce2404, 0x7f300b13, 0xa31b88da, 0xd9c20b29, 0x61e6c7bb, 0x0633d5ef, 0x4ec3b9a4,
+    0x10f50198, 0x25d3e7d9, 0x76e8004e, 0x9f13b252, 0x9bd403c6, 0x2fcc981a, 0xa88c2157, 0x43034e43,
+    0x4f866a41, 0x3bd48c52, 0x789c4125, 0x0f52fd2c, 0xa9f48588, 0x57902286, 0x72839e98, 0x01b2166e,
+    0x58e6fb43, 0x872de30d, 0x416e9124, 0xa4c175df, 0x222105d2, 0x47fc0af7, 0x41d90025, 0xc470206a,
+    0x7a5ac173, 0x5689f519, 0x0e33e903, 0x1a17a70a, 0x8bedba30, 0x6bdcf052, 0xfe4cb17c, 0xec432e62,
+    0xa30694d7, 0x9e6eb6c8, 0x4c019480, 0xa1adf478, 0x3b7acb48, 0x7c4b9a33, 0xc73a9ce4, 0xcf1d936b,
+    0x34cfef8a, 0x5dd38fa9, 0xe2067ce3, 0xa33eace9, 0x2d1d6e20, 0x2ccd39ac, 0x74d8a319, 0x9a5e5ac1,
+    0x432a87b5, 0x4d928d27, 0x6e2db416, 0xae67e842, 0x26d2254a, 0xbe265629, 0xa512d31f, 0x834889a6,
+    0x96431864, 0x498b89a2, 0xa6c73b15, 0x5731e9f3, 0xe5fce6e1, 0x2f7b9410, 0x19513ce3, 0xd792d1a1,
+    0x9f8e1a6b, 0xb62b049f, 0xc58d8522, 0x13bf1f4d, 0x01ba8b78, 0xda91ddf6, 0x7ad5fedd, 0xbb632d59,
+    0x8096e79b, 0x624b19db, 0xabf74796, 0xa894688b, 0xdd96fddd, 0x8b53aa4e, 0xc4d8236d, 0x8596bc86,
+    0xf693029c, 0x050b27a0, 0xe8c03872, 0x98a30ba5, 0x50de78e6, 0x4085c8aa, 0x928da91d, 0xf8cb509c,
+    0x30269edc, 0x54fdf4fc, 0x33e1b656, 0xa21b6e7b, 0x76e48f46, 0x4d8146f0, 0x4eb11dc3, 0xd9cf710a,
+    0x6dfbb433, 0x5cdad23d, 0xa0ec4c3d, 0x333077b9, 0x6a4f1379, 0x78340cc0, 0x0732a1fb, 0x48d3b93c,
+    0x2d6a2b60, 0x8ac77d9f, 0x6ef36383, 0x2c88c3cf, 0x8d548edd, 0xebd1dd7d, 0x1ed7ee6b, 0x5b2580b2,
+    0x3d9ea823, 0x59fe9e0f, 0x0c7809d8, 0x77e57a5a, 0xc1328feb, 0xc5f109a0, 0x28292b41, 0xd5c5c0dc,
+    0x641cfef4, 0xe4f85924, 0x584b9296, 0x1df9c2f8, 0xc6d76b30, 0x07b758f4, 0x4718e11c, 0xc63fb8fd,
+    0x913850f4, 0x0adc9495, 0x0f111d3e, 0x6e2e692a, 0xe8349cdf, 0x4797d119, 0x607f1210, 0x53d6ea2b,
+    0x6cc46dc9, 0xbe198aaf, 0x2e309091, 0x13083b18, 0x5e29d5a7, 0x6c005964, 0xc75a7e8b, 0x7d310442,
+    0x1b41e4ea, 0x6bbeb4ee, 0x6668d42a, 0x856da7cd, 0x94426bfe, 0x384b384e, 0x1abce32b, 0xea105dee,
+    0x7614b567, 0x14ee8647, 0xd1ad1e0f, 0x1d80d16f, 0x43056804, 0x67f40bf1, 0xc02ae3a7, 0x1b76ef70,
+    0x3d524b40, 0x31c0bb5c, 0xd7a91a98, 0x8492d5b8, 0x1ca1f490, 0xb0a0b9e2, 0xd198747e, 0xb6af135b,
+    0xaec8a8e1, 0x86bb8c11, 0x4017f5cf, 0x915a67eb, 0x3bed3bbd, 0xe017bad0, 0x981c1cf4, 0x675f118f,
+    0xc344141d, 0x4435971b, 0xfed6b6cd, 0x84bb0a58, 0x75778679, 0x9a949887, 0xae0bdd51, 0x896ebf04,
+    0x94ee34b5, 0x01294dcb, 0xbc056e61, 0x0f75236d, 0x98d13c8c, 0x6f029d28, 0x91472851, 0x6b807c79,
+    0x9edf2229, 0x323730b3, 0xd6282801, 0xc41bf767, 0x93f73c15, 0x0d59aba1, 0x8eb6ef57, 0x962f0f78,
+    0xeaf0d4bf, 0x528b827b, 0x72dda88a, 0x5121f5da, 0x556e9355, 0x607bfead, 0xaeca6818, 0x2afea367,
+    0x87037151, 0xd2a3720a, 0x2341a028, 0xe9d08b63, 0x8e4e5d65, 0x01e72ffc, 0x2ccb1240, 0x532c8b76,
+    0xf4cf2892, 0x24e4a404, 0xee7812e8, 0xa58de819, 0x72c0ba6d, 0x44e90620, 0xa206b9df, 0xdc1316fa,
+    0x1e0805e1, 0x82abcf88, 0x348ddf40, 0xa7784238, 0xc377df95, 0x6a36e54d, 0x49a8c189, 0xd875b303,
+    0xa56ac33d, 0xb014e9d0, 0x438fad99, 0x1e700b2c, 0x4c60eb35, 0x8b25f053, 0xaa9303ab, 0x82886673,
+    0x8729ba9a, 0x5d9ac160, 0x0562a7d2, 0xf9bb62d3, 0xe6513bc6, 0x3ab71e76, 0xf37d0679, 0x8e80da91,
+    0xb46c7e3a, 0x046e5bc5, 0x217c2130, 0x368e2873, 0xfc5aeea8, 0x395c4fe8, 0xc1a2b8e6, 0xa4624396,
+    0xe6999472, 0xe9b54826, 0x932b18d1, 0x9638a78f, 0xc1b0605b, 0x65cf58be, 0x0b7cdcc4, 0xc5fe9b1f,
+    0xabd4c3ca, 0xc16d1581, 0x60e2cc2f, 0x736553ec, 0x4af5dbed, 0x17925743, 0x5d2c700b, 0xf5228065,
+    0xf850b592, 0x5ed286a9, 0xc4c33b0f, 0x213d845f, 0x375d4b77, 0x3ed5e90b, 0x8e36bed5, 0xfa754c13,
+    0x8d9bb56a, 0xfda7e7dd, 0xa1d6222f, 0xbc66e070, 0x77932e71, 0x8ec5b903, 0xb15da69d, 0x1c1f0772,
+    0x622152eb, 0xfcfcfca4, 0x929d3262, 0xe507bf4a, 0x973ca616, 0x9ab37e6e, 0x81df6f94, 0xd4aac7bd,
+    0x66375721, 0x42658000, 0x8f591986, 0xf585fe32, 0xaa9d1561, 0xb6077b42, 0xf9f39838, 0x4bf230bd,
+    0x23a327d2, 0x675a54d4, 0xbf001c3a, 0x2aaf03d9, 0x5fced2a8, 0x08e4e0e8, 0xbd03b009, 0xe698221f,
+    0x44ee2a6d, 0x1f969808, 0x58c045ed, 0x60a782c5, 0x4a867042, 0xff369109, 0xc620d3a8, 0x4f43e096,
+    0xd33733e4, 0x10820b47, 0x3b381cb2, 0x76c9bdb0, 0xa3b09d4a, 0x96f279d5, 0x446f81d7, 0xc8b4cc9e,
+    0x41f4f6ab, 0x9c3d077d, 0x7dd328cc, 0x7c4791ef, 0x811bc0a6, 0x1068e46c, 0x25356ba8, 0xe1a54283,
+    0xc89b68f9, 0x794d1fba, 0xf9bf0cd1, 0x39b70c99, 0xf7e663e4, 0xe1c93aaf, 0xe9a84576, 0x3db66620,
+    0xcfdc3a57, 0xf7e50fe1, 0xbbb7619c, 0x573a2500, 0x1c9d301f, 0x31a46dd9, 0x1212f92d, 0xdd889f13,
+    0xc122ce97, 0x8324065f, 0x08435621, 0x966c7e62, 0x548a22e9, 0xca08ad84, 0x15babd90, 0x4c664024,
+    0x070a4202, 0x56773596, 0x5021b727, 0x96b3f5ae, 0x6cd40272, 0x5b046170, 0x049b5af8, 0xccb50168,
+    0x1570823f, 0xb564a485, 0x5cfd7336, 0x9b917e99, 0x1b8cf018, 0xaf97caeb, 0xf75cff90, 0xa2974aab,
+    0x42f265ec, 0x8572266a, 0x945f4f07, 0x98b1e341, 0x91315692, 0xc001e0bc, 0xa5d5fc64, 0x4e9342cc,
+    0xefc68d04, 0xc49a8535, 0xc9e7e911, 0xc18008f4, 0xecb86d3b, 0x4070cbb4, 0x3fe17819, 0x7a2694e1,
+    0xc3bfd62c, 0x360bde37, 0x90a4b40a, 0x580d6364, 0x2265517a, 0xee2b08b4, 0xd8adc216, 0x21218848,
+    0x28c11c35, 0x69936f26, 0x85e2ab22, 0x80ccd8f2, 0xc1a0ed4d, 0x8074ddcc, 0xa4e4754c, 0xcb670bde,
+    0xfd2e4ab9, 0x28c17d93, 0x4e52953f, 0xc4b6aecc, 0x27674ff1, 0x11e34dc7, 0x32fc3098, 0x1b87b0e5,
+    0x044b29c0, 0x22716621, 0x7e0482a2, 0x90cbb103, 0xbfdc1aba, 0x4f86b340, 0xaa29f521, 0x9d0fcd44,
+    0xcd1c8e4c, 0x806cdfe9, 0x466cf0f5, 0xf00703d4, 0xa3d3c716, 0x34baa819, 0xa85fec54, 0xafd62782,
+    0x815e2ae6, 0x82c2995b, 0x465c47f2, 0xeaede582, 0x16e5a391, 0xe5d625ee, 0xb8d60154, 0xe099196c,
+    0x227e4bb6, 0xa612091b, 0x2e0ae9b2, 0x28895a75, 0x98db65ea, 0xf4f39b80, 0x561f40e2, 0x0efa2782,
+    0xc3ee7e24, 0x395ee5f2, 0xd5300c3b, 0xec280c48, 0x439b0295, 0x26e0b659, 0x82f6c0fe, 0x93b267bf,
+    0x134daa86, 0x45d6e4a8, 0x0c1de8c2, 0xec5bf17c, 0x0a703e69, 0xec5b7b90, 0x6c4244c6, 0xba1df04d,
+    0x8ada1bab, 0x0e77b518, 0x29333da7, 0x45d629b0, 0x6d0a2fc2, 0xf4d7987e, 0xba0e032b, 0x2a4c5117,
+    0xf2ad1af8, 0x9faaf484, 0x0fd27d8e, 0x6a4ae0dc, 0xe87c8910, 0x8fd77014, 0xd4083a62, 0x1b642cd8,
+    0xbf319d72, 0xa88952f1, 0x8e1b1a6e, 0x98576017, 0x763033eb, 0xe1872b6b, 0x0c91a91f, 0x07b4bb60,
+    0x67c11f11, 0x7f6b2369, 0x7f3f3ae4, 0x0d05f6a3, 0x2783a762, 0x2e893818, 0x5bc49042, 0xe1747f28,
+    0x66a61e91, 0x256475d7, 0x7be5e215, 0xe4d7017a, 0x43492822, 0x20886c67, 0x77d880cb, 0xc978d0ef,
+    0x23b79662, 0xa4353406, 0x242b0752, 0x6594e6cc, 0x9eba8480, 0x89000f99, 0xf1fb599c, 0x956ba462,
+    0xd5a155ed, 0x0723c9ed, 0x82f6a70c, 0x0d40c942, 0xf8bb63fc, 0x95604ce8, 0xd2430052, 0x5f84306b,
+    0xc7403604, 0xd2e29c51, 0x57945b2d, 0x2b46948d, 0xf71dc2a4, 0x91ed6243, 0x9c8e8b43, 0xc1d4c31b,
+    0xb223216d, 0x7ba6f132, 0x7cb49d9d, 0x346d155c, 0x488de230, 0x7a6c532d, 0x0a48a616, 0xe9f78479,
+    0x76766a34, 0xf7e89c05, 0x56295f79, 0x2f588e8f, 0x3cd59a17, 0x727456e1, 0xadbfe868, 0x6063f4d2,
+    0xde75731b, 0x3e110d4e, 0xca937bb3, 0x4ae4ee2f, 0xfe512043, 0x22493d74, 0x7078e2dc, 0x71fa6552,
+    0xa44871a7, 0x6f4f009f, 0x71296928, 0xf8758335, 0x20ed1a49, 0x0e4093b1, 0x7c9b9ce2, 0x59ea51af,
+    0xa2acb9fb, 0x4de3bb05, 0x0e9a9fd8, 0x682a5a70, 0x10d441c2, 0xba2de9fa, 0xad1670b2, 0x4c1887b7,
+    0x31ae691b, 0x1d0752fe, 0x2c7d0f10, 0x4a932bb0, 0x51253d7c, 0x09479e3a, 0x8859e2cd, 0xb4437555,
+    0x06784751, 0x30f21e44, 0x17cc3f69, 0x78dcb674, 0x7e677858, 0x65c96af5, 0x5d2be3ba, 0xe1a926c2,
+    0x538d466c, 0x85fdc0af, 0xfe5f52f9, 0x7bd6901b, 0x0fe34036, 0xa5abe2c4, 0x5c446bb2, 0xef9382a2,
+    0xdab4b0a9, 0xc8567565, 0x6c09140a, 0xc818cb47, 0xa5a8b00d, 0xb6553e05, 0x3429f83f, 0x0b92c87f,
+    0xfdb6884d, 0x01cfa4a1, 0xab71fbc3, 0xde3413c9, 0x4a5cf484, 0x6c0dcb3c, 0x1eda19a6, 0x46862274,
+    0x9387c549, 0x007f9fe0, 0xda42ddfe, 0x9babd251, 0x8de756db, 0xe165f533, 0x0bb5e46c, 0xa4c32c60,
+    0x5d6ad1fe, 0xd9aecbc9, 0x1c67315b, 0xffc5aedf, 0x0e8d6452, 0xa8193209, 0xb13e1dad, 0xb210232b,
+    0x498e3f99, 0x971ca0d9, 0x199eebad, 0x433d5644, 0x79e5f345, 0x4cc6b86f, 0x3231bfce, 0xabecc27a,
+    0xa3212e0d, 0xd97a09ce, 0xd46e497f, 0x3076ca2c, 0x59af40eb, 0xe45f807b, 0xbc2ea5f7, 0xd9e6ec2a,
+    0x5df57b58, 0x69de5f7b, 0x5428ce8c, 0x2d09cf63, 0xe337266f, 0x6b26e163, 0xd900d948, 0xdae2a714,
+    0xae4b82af, 0x1e804d7a, 0x3001803e, 0x1dcac96b, 0xf601d9c6, 0xc70dbb03, 0x8325090f, 0xe138e3ad,
+    0x03222660, 0x8dcdf534, 0x8989722b, 0xa138615a, 0xb5bafa0e, 0x28d8281d, 0xd037d9df, 0xe4a468dc,
+    0x170b4ac8, 0xd48f2711, 0x100f3d60, 0x696b308d, 0xf4b8818b, 0x3eff3fbd, 0x437e5305, 0x15911703,
+    0x663795ac, 0xe42f171e, 0xc6d53f6f, 0x07a0201d, 0x07568187, 0x01271f62, 0xf143b1db, 0x1e56725f,
+    0x52663f0f, 0x5fc0c459, 0xafff2bbb, 0x9a692f0f, 0x916c6f99, 0x8f9cccad, 0x69b31b92, 0x49f8fd38,
+    0xe2626d45, 0x8071ecc0, 0x4fcad2ee, 0xe75bf39b, 0x070b7759, 0x4fc325f7, 0x90074f9b, 0xa4d413fa,
+    0x29b59d35, 0x6df48851, 0x7b13bc51, 0x94cd063f, 0xee7e9820, 0x8839bc07, 0xc8fed76d, 0x1a4c8d56,
+    0x89d1dbe2, 0x682d45bf, 0x6f6397b2, 0xd43ec00e, 0x01bb8271, 0x7caab580, 0xb48c613b, 0x5b0288ae,
+    0x8249907f, 0x809802a4, 0xdc18a617, 0x88d369ff, 0x7aa4381d, 0xc7e2115f, 0x83a23368, 0x2b1ae338,
+    0xb018a544, 0x1ee2c9f6, 0x3ec5eb5b, 0xe820ec95, 0x6235c4cd, 0xd5b59da5, 0x54571b80, 0x5528f645,
+    0xf39ef1e5, 0x41f1a4c7, 0x07d10cd6, 0xda3f04cc, 0x524b5035, 0x1ac5d8c4, 0x9169b303, 0x22abfea8,
+    0xb8f31018, 0xc9baf55e, 0x9a001ef2, 0xdfbb631d, 0x284b3c9f, 0x1631b271, 0x07e72ba6, 0x2be984a5,
+    0x376bf8ba, 0x22b4c485, 0x69db6d39, 0x445da419, 0x9483f36c, 0x477070af, 0xf99cad09, 0xeb8e8cd7,
+    0xa52ce40d, 0xc86b9c97, 0xb0af2b38, 0x40222138, 0x3070de36, 0x2445caa7, 0x99dd29f9, 0x3102b501,
+    0x66c7e8d6, 0x52769a30, 0x91c9d769, 0xf76de81f, 0x08584e85, 0x78062cc4, 0x4dfbfd52, 0x4eb02ca3,
+    0x41111e92, 0x0104789a, 0xf50249be, 0xe84dbc34, 0xb9001304, 0x6a553374, 0x0d4acd8a, 0x826b2607,
+    0xbc41141f, 0x210bd4be, 0x96062ec3, 0x00347b7a, 0x2db2aac5, 0xcf1713eb, 0x53276eb7, 0x8e221c42,
+    0x0fec81fd, 0x42b1d3c1, 0x08ca6da7, 0x06b80122, 0x40463599, 0x8c8af768, 0x3029b1b2, 0xdd7aa71f,
+    0x0beba8c9, 0xf8554eef, 0x3cdefa11, 0x7becc0c3, 0xb1a1c96a, 0xc82a690b, 0x9318d2a0, 0x2d943d84,
+    0xd1ae1892, 0xac7c2801, 0x625e5e5e, 0x5e08ba52, 0xeaf8c3f0, 0x10023ea2, 0x2fd5bdfc, 0x465fd7ba,
+    0x8a3e84c9, 0x177d4b55, 0xdbe3a53f, 0x67e3d52f, 0xc0c631cc, 0x29871495, 0x7db2c443, 0x1cd1c50c,
+    0xd4992c77, 0x61866ca2, 0x996611ed, 0x5c8fda95, 0x57fa8993, 0x61607312, 0x72b2a238, 0x1517c236,
+    0x5514ecbb, 0x25985e7d, 0x2b6a1f00, 0x7d4d9d57, 0xf664028b, 0x2b97218f, 0xe38f4065, 0x2643d557,
+    0x028ee06c, 0x9414a1fb, 0x114e3e3b, 0x933e8446, 0xe6f14e49, 0x25ded35b, 0x633e313e, 0x1f9cf65b,
+    0x763826cb, 0x4cd5b654, 0x83c6465b, 0x0b8c3aaf, 0x748b7d65, 0xdc82ebbc, 0x5a79f8fb, 0x9253ce67,
+    0xc8169844, 0xe7bf4f61, 0x0ee1f3f0, 0x2cda28e4, 0xe9131dce, 0x2cd41b5d, 0xba0739cf, 0x0d405ded,
+    0x1b217851, 0x89fee8a1, 0x223001bb, 0xdc148c35, 0xd198ed81, 0xa96bde57, 0x8f513fc1, 0xb0a970c9,
+    0x85571982, 0x7863edd5, 0x2284c4ab, 0x9b082f16, 0x28a59e88, 0xbeb854fa, 0x094be3e1, 0xd4c2eb41,
+    0x983a251b, 0x8b979ddf, 0x7f8d20fe, 0xb1e95fee, 0x212277c1, 0xe98c3175, 0xdfc03b81, 0x39dba62a,
+    0x18a1fdcd, 0x22f7f0f5, 0x6bbd5eaa, 0x66a6223c, 0xf2736d36, 0x6fa0d27f, 0x9b70e72f, 0x5a40f81a,
+    0x9bb3d316, 0xa0af9c6c, 0x7b0b923d, 0xc2f1d2c7, 0xed2c8ed1, 0x9e8c5fc3, 0x2dec674b, 0x13273233,
+    0x200fcf90, 0x05e13fcb, 0x87fe4542, 0x5cbce6b2, 0x7007535a, 0xb23e8490, 0x598fb753, 0xcd761e40,
+    0x62735e7e, 0xbc9db1e0, 0x003ed7bc, 0xdff10ce4, 0x469bf9eb, 0xb3ee40dc, 0xa25f49f7, 0xcddd1fed,
+    0xb8e7d301, 0xc190d51c, 0x04060010, 0x88d7c400, 0xcc5aa5c1, 0xaca6137b, 0xa859b5a5, 0x67e60e9c,
+    0x793a167a, 0xa5f47cea, 0xa6d97b7d, 0x881d95de, 0x3ae5be68, 0xf7474401, 0x1c846569, 0x1e1f67fb,
+    0xc29e0b77, 0xc48d76bd, 0x250e8eb0, 0xe35ad796, 0x7ef3a827, 0x02ec80b7, 0x3bbd880e, 0x4050d492,
+    0xf2026ea0, 0xd1a895d7, 0x2f772dc3, 0x1c8dac22, 0x1a067365, 0x4cd9f309, 0x9dc6f9ea, 0x6471f274,
+    0x8a7f8812, 0x69508bea, 0xb4af3a82, 0x70008b71, 0xda784dca, 0x107223e1, 0x6341a5da, 0x6bd5fe6e,
+    0x4c36da5f, 0x4d033b00, 0xbf123c37, 0x1e55ebcf, 0x9a5b183a, 0xf9231962, 0xb833146e, 0x8e6ecbbf,
+    0xe7f4dc97, 0xd6c94193, 0x4c828a9e, 0xe9d65300, 0x7d268a75, 0x4a9c82c2, 0x7cc32c24, 0x615f15b2,
+    0x2015d8fb, 0x877680c7, 0x575ac51a, 0x2186b7c2, 0x0cb80f6b, 0x184d3957, 0x4778b22e, 0xc1ec9f48,
+    0xb87ef567, 0x932a61c0, 0x58c2258d, 0x3af860fa, 0xbe03b938, 0x28a0567c, 0x07e0c17e, 0xdd787074,
+    0xbc77d928, 0x5144396f, 0x32e2cca8, 0xc22c082c, 0x2d22cad3, 0x160cb051, 0x807dfee9, 0xea177c84,
+    0x058a8e9a, 0xb071a245, 0xe10aef09, 0xd5fe8013, 0x08715a41, 0xa80e0fbf, 0x77525af7, 0xb6eed800,
+    0x00000000 }, /* 10**00000000000000000000000000000006610559687902485989519153080327710398284046829\
+                         64281219284648795274405791236311345825189210439715284847591212025023358304256 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab,
+    0xfc6f675a, 0x9d236d59, 0x0105cf0b, 0x3a0cca1f, 0xbd3baa3e, 0x747c497d, 0x56c75a17, 0xac286bdb,
+    0x00000000,
+    0xbd0e2a2f, 0x0bfe35ee, 0x3dfcec09, 0xd78ab400, 0xd50fc219, 0x155f9987, 0x33b845a9, 0xafe7e962,
+    0xc952cc62, 0x83ff53a8, 0x5a58a164, 0x21d225f6, 0x0e97f7e7, 0x4f81e099, 0x4081b014, 0xdf7b2886,
+    0xd20f7d30, 0x78fda2d8, 0x2f3b0246, 0xc8e01ff0, 0x0e758a80, 0xf5f307e4, 0x93531835, 0x4032985e,
+    0xb3493c9e, 0xb48cd9a5, 0x7df52403, 0xc5a0ccbb, 0xee8e4b29, 0x625113db, 0xb8b4ea5b, 0x74eef3ab,
+    0x63d7f70f, 0xf3c240d4, 0x9cc901e8, 0xefde2502, 0x76c6e0a2, 0x046eb38b, 0x389ea896, 0xd1111ee0,
+    0x07d87dc2, 0x1163c8bb, 0xcfee1a0b, 0xb16635d6, 0x1fb2f70a, 0xe6524e03, 0x0ae503cd, 0xa0dcd9d8,
+    0x77ab3323, 0xfc4f0fc6, 0x2323b0d3, 0x1ac2bd7c, 0xa2b5019f, 0xb3a30d4b, 0x54548ab0, 0x948d26b4,
+    0x5c479cdb, 0x0f10e110, 0x0092d77a, 0x451ebaa2, 0x8d7d967f, 0xfd3dd07e, 0x7030abb8, 0x9924d783,
+    0x3603d6b8, 0x3cc2d3d4, 0x9d02ad58, 0x6cc521d8, 0xa7fd99e6, 0x814844e0, 0x12f38666, 0x42e01e66,
+    0x3eeaf7e7, 0xd57c3320, 0xa0c850a3, 0xe1ff3e13, 0x01a126f6, 0x56febb8c, 0xb835c051, 0x0fcc5028,
+    0xd766607c, 0xccbf114c, 0x9d999d7b, 0x98a83a8b, 0x058d6782, 0x3ac6a3f4, 0x36b0b191, 0xa177fe77,
+    0x4beaf1a5, 0x777865ef, 0x60a94674, 0x8f483ec8, 0xc6a59f70, 0xc5edf525, 0x0c45f457, 0x17b8cdea,
+    0x3489ca29, 0x6e54e267, 0xe709d30f, 0xaaaecbcd, 0x681874c5, 0x1c3a1d3b, 0xe560e138, 0x27cba29b,
+    0x442198e2, 0x5392bad2, 0x8cd46a9b, 0x61b65ebb, 0x97317ad6, 0x3b074407, 0x25b5bb39, 0x3825b036,
+    0xb95f870d, 0x03b70408, 0xa4c2d782, 0x4dcef3e6, 0xe7a84d8e, 0x6ba6a3bb, 0xb2027d90, 0x9a799802,
+    0x72d9b6f6, 0x955e29c8, 0xfc494d01, 0xde6efacd, 0xaa6adbb2, 0xbccbc500, 0x5ba44f9a, 0xd356500a,
+    0xc9ba2fc9, 0xd37d2c25, 0x2476fc75, 0xd066119d, 0x5194b60f, 0xd0791006, 0xf08f55c5, 0x39a139af,
+    0x89cbf9fa, 0xee1851a9, 0x4b91fd3c, 0xe056827c, 0xe3312e8e, 0x7ffd669f, 0x39aae8fd, 0xdfd44e47,
+    0xe780590d, 0xf80e3b64, 0x8c52f6cb, 0x5cde45cd, 0x353033a5, 0x9a107847, 0xdce5b6e5, 0x005a8c61,
+    0xfa5a67be, 0x0d7dbc51, 0x6916896f, 0xe3e9c149, 0xb8003c60, 0x352487f2, 0x3a9c1d65, 0x2d4559b6,
+    0xc0c20074, 0xc0a528fd, 0x895f27bb, 0x60a90a4d, 0x9f268f2e, 0x08459698, 0xb33b6564, 0x607f8c71,
+    0x4b52da6d, 0x1e209782, 0x7623a64f, 0xdd5a35cb, 0x62f2e4a0, 0x96715632, 0xa653d757, 0x921a032a,
+    0x9fb5b558, 0x5db85d9e, 0x362b877b, 0x35c3261f, 0x015c8561, 0x89614be9, 0x5778f7cd, 0x6bbfb955,
+    0xd0a9d8d6, 0x88683a74, 0x7220842b, 0xffad67d0, 0x36508bcd, 0xe217876b, 0x5d683e0f, 0x94f97c4a,
+    0xad63a1a3, 0x4e9e2173, 0xc49b5af2, 0x92544efe, 0xbbf8b0bf, 0x0c9c019a, 0x1fac4a2b, 0xbfd26603,
+    0x0159f68c, 0x7d1a3d30, 0xbc2c9e9a, 0x4ad5a4cf, 0x60228f8b, 0x82bd1608, 0xe61ceefb, 0x33ff63af,
+    0x5927276c, 0x04b9ae0c, 0xd9e54570, 0x9a4926c1, 0x7e37b02e, 0xd8b5f8a3, 0xe806700c, 0x5fa93b4d,
+    0x2b140c21, 0x32077626, 0x201bea64, 0x516e1f00, 0xaaf86d61, 0xff1baadb, 0xdfee76ac, 0xfb4e8700,
+    0x4de5bea4, 0x1f7cb8f1, 0xd20bebcc, 0x3f2c1161, 0xa7044df5, 0x72a0ca69, 0x38993ff3, 0xcafd48b4,
+    0xc09c1fd9, 0x8af72181, 0xbf2b86c8, 0x425d1f15, 0xc1521f2d, 0x147758bd, 0xdec38ab5, 0x1fbea846,
+    0x081212f4, 0xc44e44fe, 0xbf6f442e, 0xe933e997, 0xc30dd03e, 0xd0a452c1, 0x7b24769f, 0xca42abb8,
+    0x7a6e1b1a, 0xb3eac5ca, 0xa82c9d20, 0xa7b0f9e6, 0xb61eef6d, 0x678c3a81, 0x53ace8ed, 0x90e5b111,
+    0x5b8bb799, 0x701b1fa8, 0x0583e7f6, 0x8d787669, 0x6aa6d572, 0x046ddcdd, 0xaa9835fc, 0xae3eda33,
+    0xa5abbe0c, 0x5c386f1c, 0xbac6f9c8, 0x85767cf6, 0x07324033, 0x0b33f576, 0x375289b7, 0xc93a03eb,
+    0x402a1e3f, 0x98f0414d, 0xf1554c6b, 0xb74bd49f, 0xe7721c4a, 0xe3aabcd3, 0x07998644, 0x19d49736,
+    0x5b79d96f, 0x076cdf2a, 0x70170824, 0x63ac77a4, 0xe090665a, 0x01c5690d, 0x610158f8, 0xebdca67b,
+    0x22489fe7, 0x1a63b5c4, 0x94eb713a, 0x97837fc3, 0xe8697ddd, 0xa42a7d98, 0xe3e4f243, 0xa3132371,
+    0x45c8254f, 0xbfdef824, 0x9a81fd06, 0x72439f37, 0x11ed3a83, 0x2484b891, 0xab884e00, 0x1153617c,
+    0x1fced51a, 0x204d6632, 0x32068315, 0xc3cc6f25, 0x93b04334, 0x1f9a9d17, 0x19acdb8a, 0x9c0549a5,
+    0x624563d3, 0xb0fe2a5b, 0x7ab39ac7, 0x05472539, 0x0b14103a, 0x520440c8, 0x750032cd, 0xff459784,
+    0x404c67f1, 0x3822ce04, 0x48f9bcf9, 0x9e9e6163, 0x34f0bf76, 0x039731bb, 0x79fc6e62, 0x4d664748,
+    0x5bddb441, 0x5dd516c9, 0x095cbbfb, 0x39d5df22, 0x53274f24, 0x61b4242c, 0x547008ee, 0x1fb6eb1f,
+    0x9919ade0, 0x54a21bc1, 0x9b386505, 0xac08c3bb, 0xbe0a07e9, 0x93829fb3, 0x7e67ce8b, 0x9aaf02bb,
+    0xf82798bb, 0x0445f205, 0xc305d5df, 0x240263f1, 0x1472ffdc, 0xb499b9a9, 0x1f109a4b, 0x35bd766a,
+    0x4d861bd7, 0xe481b692, 0xc3ffa2e7, 0x81357740, 0x6abee210, 0xde60ce4c, 0xe334d358, 0x588e0469,
+    0xba8c402b, 0xcf7c92df, 0x8a264a89, 0x2150d451, 0xdc117612, 0x47d5a266, 0x3ec54cea, 0xd474cbf7,
+    0xca483766, 0xcf9c6e96, 0x52f4da67, 0xbfbb0902, 0x827b2c1e, 0x3305f0e8, 0x6bf5291d, 0x0fabd9e6,
+    0xa7e68c03, 0x3e622024, 0x3b25ad71, 0x79e965fe, 0xeaea7325, 0x8c07fc43, 0xa00011cd, 0xcb1cf791,
+    0x169ca1e6, 0x24c21100, 0x3622b897, 0x80a65757, 0xbe212969, 0x2e8ccd58, 0x0ada2158, 0xc63dfd65,
+    0xd4663667, 0x4f8e44b7, 0xad2f0d49, 0x61225afe, 0xace582d0, 0x1f70516b, 0xa8c58f61, 0x2a719b18,
+    0x476ad910, 0x0fe55836, 0x182e89d8, 0xe29783ed, 0x80a629f2, 0x4c78cdab, 0xa095bb65, 0x265b6ead,
+    0x5ebb7c04, 0x9c0ec709, 0xb3c01c7b, 0xdafcfed6, 0xcaf8cf2a, 0x19daaa8b, 0x7036556c, 0x68195c41,
+    0x0b29fe90, 0x3d4b07bd, 0x3a12eadd, 0x2b025d15, 0x2ba917b3, 0xe9853011, 0xa7289f68, 0x85645479,
+    0xc6110a8e, 0x613fcfc0, 0x6c2b95ef, 0x71145129, 0x94769bcf, 0xea5ed2f8, 0x7f13e845, 0x2da9b11b,
+    0x36b72224, 0x58d01fec, 0xa5d29844, 0xb90a6ac0, 0x3d081f66, 0x3cdbaf2a, 0x8344b736, 0x69a3a93f,
+    0xb0936bf2, 0xfab5106b, 0xe2248e5a, 0xdbef5b8f, 0x571ea733, 0x6a39cd84, 0xb6281c0b, 0x3cce64d4,
+    0x48e36437, 0x1dce8fa6, 0x0f2f6c64, 0x4d945ae1, 0x7f40d629, 0x65d1e3bd, 0xc65a57ce, 0xefb3ef04,
+    0xda00e231, 0x8b05f78d, 0x8e2c99c3, 0x7fe74d36, 0x7467908d, 0x4ad496fe, 0x02e51516, 0xaf1f1da8,
+    0x604789b5, 0xcef7e54b, 0xae3e8c78, 0x5962df4c, 0xec75e9e3, 0x8c43b9d5, 0x60d387f8, 0xed1fabb8,
+    0xcacae212, 0x0f0472c2, 0x08575242, 0x0a96e400, 0xb4575001, 0x586d9204, 0x774ca1c9, 0xf85c1c6d,
+    0xa3288fe5, 0xe5586728, 0x8ac6d035, 0xf438b045, 0x560e6874, 0x770c35b0, 0x3d801eac, 0x4281b239,
+    0x78bd43c7, 0xecd2ea92, 0x87a63563, 0xc9cd152d, 0x3c0f4c0b, 0x5289ab75, 0xf32f5e02, 0xa60fe6d5,
+    0xb610c742, 0x6526bd52, 0x80639bc2, 0x38ad39f7, 0x6877a285, 0xd2f48126, 0xb9fcd90a, 0xe31d18b3,
+    0x134bb0f2, 0x611399a8, 0xcbc89d4b, 0x94712dfd, 0x7a726064, 0xc234b000, 0x30d2fd94, 0x4bccc847,
+    0xcd13fb6a, 0xf47e32c6, 0x89312235, 0x82117bd5, 0xfec973ff, 0x55e5e66f, 0x18c6120a, 0x76e0934c,
+    0x407b5508, 0x5cb82d20, 0x310da618, 0xa6619a76, 0x23318af8, 0xc5a42ee5, 0x0a5fe200, 0x4c4307f8,
+    0xb6537426, 0xeeef4ced, 0xce0fd31e, 0x15432e79, 0xf95aaa3a, 0xc733a513, 0xf321dbb9, 0x66e63de7,
+    0xc696647e, 0x77ca910a, 0x1bda3c92, 0x3c9f0ba8, 0x8801faf8, 0x979af86d, 0x265edf9d, 0xce2fa94a,
+    0xd3798434, 0x8c1b067e, 0x41ab696c, 0x4c19e548, 0x196af665, 0xcdbd449f, 0x5d717e48, 0x088d7ec3,
+    0x4bba171b, 0xa75d3399, 0xf8f555fa, 0xf89bd437, 0x2fe264d4, 0x71ad73ed, 0x7579772a, 0x2397acd7,
+    0x30a1be70, 0x3df13c3b, 0x2fafbc63, 0x73b6ff86, 0xa7761e03, 0x8bedbfbe, 0x80687607, 0x687268d7,
+    0x39d54b18, 0x0077bfad, 0xe3152345, 0xe2cbd08b, 0x469c6f76, 0x2720af5f, 0x39e5e5e3, 0xfe757c06,
+    0x894b925c, 0xcdc17227, 0x2392d75d, 0xdb934235, 0xd10d4b74, 0x53dacc9f, 0xd5227103, 0x2aaf09b2,
+    0x17e9212f, 0x37c42cca, 0x80fd7277, 0xda9d55e8, 0x2b0aa956, 0xfa108600, 0xaab2ec2e, 0x3134d8d8,
+    0xfc5eb6b3, 0x7fdfa5cc, 0xc1d21cca, 0x55353225, 0x74c03c62, 0x803876c8, 0xe206cc10, 0x9f4e3f77,
+    0x3900fb57, 0x9972ffe6, 0x951908f2, 0x4d969edb, 0xfd06e06a, 0xf06b2f7a, 0x2bd69ef9, 0x5f4768dc,
+    0x0571bc53, 0x62ad3ae7, 0xc7dcfb91, 0x5f82539c, 0x3a5eb90c, 0x645930c8, 0x9445dc46, 0xb9b46082,
+    0x0259b5dc, 0xbad931d7, 0x8027edf0, 0x5021b2ec, 0xe03a5215, 0x4b3a631b, 0x45a49a9d, 0x974c1c63,
+    0x69e62566, 0xf7d0ed40, 0xd1797a62, 0xd5c04ea6, 0x2166cec1, 0xbc892de6, 0x7831c712, 0x2db0e836,
+    0xb1172fe6, 0x54b7c69a, 0x6dbea08f, 0xdc8b7775, 0xb2bc8b50, 0x9c8fc265, 0x86f3795b, 0xb81ef32a,
+    0xdb98d091, 0xdfadfb8f, 0xd3cb2711, 0x19b21156, 0x9c2396a4, 0xdde3dc4b, 0xa56d6e4b, 0xb15227a6,
+    0x5217f8ce, 0xf152ba96, 0xd6dd6c6c, 0xe11729af, 0xf690cf7c, 0xaf0f9467, 0xa299df56, 0xaee4baa0,
+    0x4bb2564f, 0x4a90eaca, 0x7bca37b1, 0x3a59f73d, 0x38ce617e, 0x78747c27, 0x355884fd, 0x49545d0d,
+    0x7194ea27, 0x5693295f, 0xb15c2277, 0xf5fbfe9e, 0x5b610241, 0x5856f9bf, 0x387b55ca, 0x6e63bde2,
+    0xc5ff69fb, 0xf632d240, 0xa5f9a9f0, 0x36a01bac, 0xbebbd177, 0xc641af78, 0xa8c0af74, 0xac23a2cf,
+    0xb5511728, 0xf5eb391d, 0x781dd1bd, 0x1ea72375, 0xc861c275, 0x1085da81, 0x725fb07a, 0xeca574bc,
+    0xfd9f286a, 0x594ff462, 0x72587d5f, 0xa2ee6629, 0x77217796, 0xce8a5b1e, 0x555935a3, 0x1d2ce0a5,
+    0x2dbf8091, 0x4c7a800b, 0x155cc564, 0xf10ebf97, 0x456d203b, 0x5330cf40, 0xe74d61da, 0x0560b503,
+    0x4483a64a, 0x607de698, 0x008b2afb, 0x71fe5b86, 0x683c08dd, 0x69c4f87d, 0x67c3e784, 0x1438ebcb,
+    0xc4e87463, 0xf7800a44, 0x9b5d05bf, 0x68f0c991, 0x4837dfb7, 0x0ee95d44, 0x1cb6ee65, 0xb1cd4e45,
+    0xfedb1f5f, 0x41cf66ab, 0x6ad88790, 0xc34f79f8, 0x102aa77a, 0xc56fb018, 0xda4bf736, 0x3707f7d7,
+    0xb414b8f2, 0xac953255, 0x90363f81, 0xc4a5f7db, 0xde94a3bf, 0xa91f541c, 0x03c79f01, 0x0700bd39,
+    0x7e117def, 0x3ba37bb8, 0x383d43d9, 0xf1b47acf, 0x91d6a738, 0x8d95a204, 0xcac7f8f7, 0xb542bc30,
+    0xaea9870b, 0x8468b632, 0xc30ce4ab, 0x86a9b6a3, 0x40e95fce, 0x59e141bf, 0x10166898, 0x44bc968e,
+    0xf6c1c8e1, 0xb59fef2a, 0xc4e925ca, 0x8a795763, 0xf548817a, 0x859c5398, 0xffbfcaa0, 0x073ef72b,
+    0x8d5c4b32, 0x37378d69, 0x156e67b8, 0x2cf19b90, 0x22e10db8, 0xcec8dc2f, 0x56ed6c86, 0x15a498e6,
+    0xa44b3c6c, 0xe682cdf3, 0x560c8ede, 0x06d91a34, 0x7beb5cd2, 0x02791c5b, 0x5eb24f7f, 0x9049e839,
+    0xf184aa00, 0xff89fcf9, 0x3cb646de, 0xcb10967d, 0x8092e46e, 0x374edf3f, 0x81289966, 0x97ac60ac,
+    0x1a84d5e2, 0x3320cf85, 0xd48c0cdb, 0xb3e5514a, 0x28b2b269, 0xc9a0cbfd, 0x65016d4c, 0x78518cf7,
+    0xe0fb849d, 0x531589f9, 0xe666f931, 0x2539ee86, 0x9717f880, 0xfd79d52c, 0x5c5f66e6, 0x62b474ce,
+    0x71fac7ec, 0x0902406a, 0x21ea71f8, 0xa34351e8, 0x98012d14, 0x954c7b85, 0x7136af7d, 0xbc0672d6,
+    0x70fa50e9, 0x44788ae0, 0x54a3d8ac, 0xa1d8e3b0, 0xc9e70619, 0x59d64a0b, 0xffd4471d, 0x18968e35,
+    0xed77c88b, 0xa5c6a687, 0x04c715d0, 0x726f8190, 0xe9209140, 0xa5960ec6, 0xae19caca, 0x88fdf20c,
+    0xbf1cfc65, 0xb5ca683b, 0xc4eab6d7, 0x20ce1726, 0x0cdce563, 0x29c4629e, 0xae5336ca, 0x02f2bda2,
+    0xe5a46717, 0x91914582, 0x803f3899, 0xbed8d0d5, 0x33dd7c84, 0x029a3f4b, 0xd4c9f375, 0xca945e07,
+    0x5408a51b, 0xf952ccc1, 0xf022f3fb, 0x6b28cfd3, 0xc57492b4, 0x68e89607, 0xeaa7bebb, 0x3b1f1247,
+    0x2706431d, 0x8971668a, 0xfdee21fa, 0xb47e289f, 0x6e8fd64d, 0xd7801421, 0xa8673849, 0x7a892984,
+    0xf94777f1, 0x7f4e6333, 0x99f02a04, 0x89ff89e0, 0xe7688d3b, 0x3345a82c, 0xbb463644, 0x7b40f8d2,
+    0x2c238a44, 0xed928fed, 0xa964ede8, 0xe1650b3a, 0x535183f6, 0x9f1ac331, 0x6f80ad04, 0xc9d636fa,
+    0x939809d0, 0xec9cf3da, 0x0e4674a9, 0x1b2b95df, 0x50c632d4, 0x1b831af3, 0xd2af154d, 0x2d397300,
+    0x22342238, 0x84c0220d, 0x4991c829, 0x75ced554, 0x6d8868d4, 0xb40703bf, 0xb22a7cee, 0x7eddf38f,
+    0x716a885f, 0x3bbcf605, 0xf13904f2, 0xbe067a8c, 0x602988d7, 0x2193a8b3, 0xbdb5e451, 0xdb1a1138,
+    0xcf12e3d1, 0x27762da9, 0x947784d3, 0x5c312c0f, 0xf1107fc9, 0x677a5d08, 0x90b98d69, 0xbd61cc76,
+    0x9c9d80bc, 0x8399df2b, 0x9085a123, 0x445500fe, 0xc21174ae, 0x0e9a5efa, 0xa6942d07, 0xb679988d,
+    0xde3c1d0c, 0x7459f7b5, 0xbe14ed8f, 0x57dde985, 0x2aeecb18, 0x2e733dd8, 0xdee1a463, 0x18882f03,
+    0x2047bb81, 0x6305aa5a, 0x262ea912, 0x277af7cc, 0x912513ad, 0x2841d6df, 0x4c007736, 0x7324f154,
+    0x4149b3a8, 0x91292153, 0xf38d800a, 0x5c91fcea, 0x81020f6e, 0x8d601fdb, 0xac4988b0, 0x6e392adf,
+    0x593b42fa, 0x5be21385, 0x6204f573, 0x192ec1de, 0x94d7c9ea, 0xb92a9274, 0x5300984b, 0x3612ebd4,
+    0x06cd4b79, 0x465f41a5, 0x1fd46a6f, 0xb82ed0db, 0x7a781d1e, 0x8e467da9, 0xf2936be7, 0x37b5d806,
+    0xa80affdf, 0xba0ec107, 0xa62094e6, 0x5fa3ee22, 0x0b4659ab, 0x0c4f281d, 0x1d479ceb, 0xb047caa2,
+    0x5b98de79, 0x1f0a3560, 0x96648254, 0x4b33ca42, 0x9c75e803, 0x96314108, 0xb1fbb3c0, 0xf01aec38,
+    0xab43e4f2, 0x6cbf9301, 0x77d72ab3, 0x550b8828, 0x0dabb77c, 0x0331d4fe, 0x6299e17e, 0x765f664c,
+    0x0785ff91, 0xef5f0446, 0x6ad72081, 0xedda5b53, 0xecc73b02, 0x46e03327, 0xa3ffd82a, 0x54376648,
+    0x6067200c, 0x6aaba677, 0xac39553a, 0xd710e292, 0xa7dcc856, 0x6d35013e, 0x1051dc4f, 0x8447dd28,
+    0x85a8636a, 0xfde074cd, 0xdc6dbe90, 0xade79d68, 0x56df8624, 0x510ecd89, 0xf2ea8de6, 0xcffd6782,
+    0xf0b04565, 0x68e5fa7e, 0xcb24960d, 0x2d167252, 0x2d0ec64e, 0xc591c930, 0xea89479e, 0xfbf7bc58,
+    0x00000000 }, /* 10**00000000000000000000000000000003305279843951242994759576540163855199142023414\
+                         82140609642324397637202895618155672912594605219857642423795606012511679152128 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55,
+    0xfe37b3ad, 0x4e91b6ac, 0x8082e785, 0x9d06650f, 0xde9dd51f, 0x3a3e24be, 0xab63ad0b, 0xd61435ed,
+    0x00000000,
+    0x9b8f7fb6, 0xfe382be8, 0xc70fd3bb, 0x067e5006, 0x955bab85, 0xd3c3c69e, 0x7e87945e, 0xf7939787,
+    0x5274b84e, 0xc40e1707, 0x4ba929a1, 0x265889bb, 0x4a19f969, 0x41dd3426, 0x452c040c, 0xb0c8a204,
+    0x08045dd5, 0x9cdc4eb1, 0xb30bc85b, 0x67a77bb7, 0x1fa899c6, 0xf129bc70, 0xd1ed2a0e, 0xe369eb51,
+    0x772a7d88, 0xb9fa0597, 0x7c9053ab, 0xc1c64a54, 0x0fced434, 0x15c025e0, 0xe6f91c63, 0x27971931,
+    0xc1be9b50, 0x3b710d96, 0x4097b01b, 0x2409fe08, 0x6a80f301, 0x5bac69a7, 0xa9957e09, 0x33ba557a,
+    0x75f96fc7, 0xe58dd004, 0x9dc28e53, 0xadbe8e06, 0xbb44171d, 0x737d3f90, 0xebcd90b6, 0x2b5a13a7,
+    0xbf05627c, 0x1400397a, 0xc4a4d762, 0xe808a8d8, 0x53dfe5d3, 0x0fbc6934, 0x7849daea, 0x33061e5c,
+    0x5334c44e, 0x943e2d86, 0xe90dccba, 0x9eec81d5, 0xd8d113ed, 0xc3e48a25, 0x727f1319, 0x5daf5f16,
+    0x091296db, 0x996e8484, 0xa142a013, 0x29329223, 0x5d1c3279, 0xd8309a63, 0x89d1a174, 0x19be7195,
+    0x6c491ad3, 0xb77beced, 0x396ff6c2, 0x140b70e3, 0x94a7fe6a, 0x626b4e3a, 0xdcde6fd1, 0x6bacee9e,
+    0x6df56936, 0x0b43f95d, 0x0efeee31, 0x236b4e05, 0xdf07ff98, 0x7663e614, 0x176b1a91, 0x720a5d4b,
+    0xc0e9c588, 0x0c44ca2a, 0xd33e9715, 0xb8db3d7e, 0xbae52c25, 0x063b37e5, 0xb56e2db9, 0x656f7bc9,
+    0xbcb050f8, 0x0a389cd5, 0xc3f06762, 0x1f63dde1, 0xaf33d38f, 0xdb19785c, 0x6a66e59f, 0x52bf4b14,
+    0x929ef3b4, 0xcd9be4ed, 0xb65d95c2, 0xff4ba05a, 0xd0a9a175, 0x7b5ca352, 0x6e11a851, 0x8106e0a1,
+    0x27ea53c6, 0xd298904b, 0xc642587f, 0xc2f1fa19, 0x70e65faa, 0xc1a35264, 0x0dbfc229, 0x9fea3951,
+    0x9528177d, 0x2a8a0d3a, 0xad40d363, 0x2776b166, 0xf1f1d317, 0x7bfbbc64, 0x6049afe3, 0x95fbee71,
+    0x961b0b85, 0x62e29be8, 0x8060ef76, 0x2e2c13d9, 0x7b1280ae, 0xf6001cf4, 0x7d183b4c, 0xe2b79e87,
+    0x369626e3, 0x6c60aa1b, 0x93ef53b8, 0x73b9ffd8, 0x4c4a6379, 0x67d4cfb4, 0x98b22e01, 0x39996f40,
+    0xc75511ab, 0x71ecfe51, 0x41f8f7d2, 0x78efca27, 0xfc1d1203, 0x91299c96, 0x7f2a9697, 0x508b53c3,
+    0x6b7a1c95, 0x30d078e0, 0xddb7f528, 0x7fe7e9e3, 0xbcb25ace, 0xd969adcc, 0xef41ffcd, 0x0f4f1dab,
+    0xdcc8f3a4, 0x0bf6926b, 0xb8edc3b2, 0xaad268f1, 0x3e9bd51a, 0xa7b178b0, 0x30bbc029, 0xaaf8bcde,
+    0xa96117c5, 0xce883d9d, 0x75b4a42a, 0x2715cadb, 0xb3f2c739, 0x5fead621, 0xa42e17a7, 0x5db46b9c,
+    0x5117df7c, 0xd061a6e0, 0xdbbacedf, 0xb8f42a27, 0xb2af0c7a, 0xec722332, 0x3770f776, 0x44cb1d45,
+    0xd53a2632, 0xef41faca, 0xfbd029f0, 0x15c40ef7, 0xa3ff2b52, 0x6e1074ed, 0x253fe456, 0x2446e2f2,
+    0x45a74035, 0x00bfe0e6, 0xfb1d39a4, 0x71897b8a, 0xa1e2618c, 0x791b4a2f, 0xe0968624, 0x61939cc8,
+    0x41a9b17e, 0x98611a20, 0x1e083ac3, 0x5e23c907, 0x1acf95b9, 0x227e9e44, 0x155ed547, 0x3e8a63a3,
+    0x86e98c73, 0xe1bac396, 0x58bca4db, 0x7b812f70, 0x6d118db4, 0x606bf430, 0xbf17cf04, 0x704c0fa5,
+    0xd0a591fc, 0x7682bd0a, 0xdd87a4ac, 0x00e91b1e, 0xdd36659e, 0xe292e1a8, 0x9e5fad78, 0x7e9ec753,
+    0x624df56d, 0x25408d3d, 0x9d67467e, 0x4fa5fb5d, 0xcb588148, 0xacb5ad26, 0x4f90317c, 0xaca68d88,
+    0x1aa75644, 0xfc29f41f, 0xe5f09a41, 0x4635e1c5, 0x991384fb, 0x80a7fad9, 0xf9c8d058, 0x9ab45ffe,
+    0xb33ec6c9, 0xff92e3be, 0x657440c5, 0xd5c7a8df, 0x4e39923d, 0x5c0837e1, 0xe9751be7, 0x1851e193,
+    0xa961c2b3, 0xd700d379, 0x444bce8f, 0x9d0b73d0, 0x7cd1267d, 0xc245b694, 0x94fa615d, 0x12c9c187,
+    0xe5d903f1, 0xcbf58a90, 0xf6bcb735, 0xd8797e59, 0x7fae2d6c, 0xe2d5683b, 0x92089b66, 0xb3176ac5,
+    0xd8a0b0fb, 0x67fa8fdb, 0xc0641f41, 0xf1821b1f, 0x6a427ac7, 0xe2c02e70, 0xe858290d, 0xc08c0db8,
+    0xe5cf6494, 0x7f1159b1, 0x1f165816, 0x061265f8, 0xf00672ca, 0x689ba05e, 0x05f65957, 0x469f1f0b,
+    0x7cac1e8f, 0x405208df, 0x588edef4, 0xb4f45020, 0x2b179f94, 0x4ee564fc, 0xf5493ceb, 0x04d3c417,
+    0x2121f642, 0x9bbde005, 0x801a7e5e, 0x61363a80, 0xebade746, 0xf14f9482, 0xe5b3c2b5, 0x4f0d9a24,
+    0xcc47f981, 0x24abe200, 0xb488e99f, 0x221199a7, 0xb39f863e, 0xb77abdfb, 0xe1fcf69f, 0xefce4b72,
+    0x7baa2bd1, 0x506609a4, 0x0c2fbaf9, 0x85bf9dd8, 0xdfe97305, 0x0c9dfdfc, 0xa2f933fe, 0xb60894f7,
+    0xdd51747e, 0xe7f99b44, 0xb40da0f6, 0xba73dd49, 0xe72ce3d3, 0x60ee1504, 0x7dec254b, 0xffc482d3,
+    0x849dfda4, 0xc0c33bfa, 0x1ccd979d, 0x3a621516, 0x733586a5, 0x998c7ac8, 0x4758f6fe, 0x5486b7a8,
+    0xe22fda21, 0xc1496cb9, 0x3581cdfd, 0x766677da, 0x9f24c81d, 0x7270d8a5, 0x0bc42147, 0x0b502be4,
+    0xf22e61fe, 0x17f6745e, 0x4b8ebb55, 0x777c2c87, 0x8944d6c8, 0x1842f6de, 0x4bfe79fd, 0xd7321cc7,
+    0x6bf7f924, 0xb8946f5f, 0x2f4aff17, 0x8975c2a0, 0x97b8d04a, 0xa9fb7259, 0xc4813fdb, 0xa74ec51d,
+    0xc3b9bb48, 0x04ddcbfe, 0xbf2c4dde, 0x596c819f, 0xbd1068ba, 0x87ae3862, 0xc4ae8f8c, 0x0a4bae8d,
+    0xc0abed77, 0x7f3f3cc3, 0x413a57a7, 0xe4df242a, 0x96641c0f, 0x73da9059, 0x14ef5e6f, 0xc6b46b8f,
+    0x60899a1a, 0xf3d55425, 0x659ba5da, 0xd7c10e19, 0x3bdf6046, 0x38181e93, 0x3cf4c70d, 0xf276ac79,
+    0x5c6cc571, 0x4d113025, 0xb0e37569, 0x4fbc4244, 0xba08a295, 0xa0a740cc, 0xbd67f946, 0xa988beb5,
+    0x7d603ee3, 0xe5fa3e0f, 0x3bd5ddf7, 0x6d9500a1, 0xb9cd7c79, 0xa265a85d, 0x76d5e17f, 0xc93fec7f,
+    0xad292ee9, 0x6ef3fddb, 0xd5d38497, 0xb4f90b69, 0xf5550a2b, 0x54bbb0f4, 0xca0c9212, 0x92a31ad1,
+    0x96187a53, 0x1d5f37e8, 0xea68ad0e, 0x0f12f75f, 0xd5977a8f, 0xcd420a19, 0x6f44f7bd, 0xbf9b31c7,
+    0x3a814919, 0x19170994, 0xecf635f0, 0x469c2d19, 0x3172f30d, 0x531ba3de, 0xd5013d5f, 0x314d4eaa,
+    0x44f8a558, 0x21c7b056, 0xebb46cad, 0xb2c39d13, 0x0ad42949, 0x3a611422, 0xfc576505, 0xe9f86304,
+    0xf215d88f, 0x27ec7d5d, 0x1e7c4315, 0xe5d9a3a9, 0xf944e4d9, 0xb218b1a9, 0xd46326d5, 0x32a44a1f,
+    0x645550df, 0xaaefa1eb, 0xeb9d6d1c, 0xadad7058, 0xf1a181c6, 0x8d5548c4, 0xa8230dac, 0x4e65e41d,
+    0x15b02112, 0x7ce3dd60, 0xda0e7473, 0xf32c1569, 0xe4dde85e, 0xe34b60c0, 0xc35a25fd, 0xcac2cd8a,
+    0x36869b5d, 0xebcf7d78, 0x88ab4faa, 0x2bb898d7, 0x48f93491, 0xac486cef, 0x88138fdb, 0xb8cbfe1e,
+    0xd71dc63a, 0x788f2a15, 0x8dbed900, 0x2fd5494e, 0x895fc24e, 0xb4003892, 0xb38b8e33, 0x2231396d,
+    0x95c979fd, 0x3c8c21ab, 0xfe3f3000, 0xc07fc5e4, 0x76ca0327, 0xf8839975, 0x6d848c58, 0x5526a8cb,
+    0xd651cb66, 0x0c4f8724, 0x1821f756, 0xfd691d06, 0x8f85be19, 0x3b0cda4b, 0x12eefa57, 0x05c2dd50,
+    0x2a5d497e, 0x4caffb56, 0xddab12db, 0x1482bb4e, 0x702a8154, 0xfcc5a924, 0xb63c1191, 0xa082afd3,
+    0x2239042a, 0x6d0046f8, 0xf7781095, 0xe1f0a03e, 0xc525af9e, 0xbf1cd877, 0xa4efa36a, 0x6f855d93,
+    0xe6eb50c5, 0xc8bfe78f, 0x377800b5, 0x28633c06, 0x62ef33fd, 0xbc37ca34, 0x47362319, 0x053645c8,
+    0x71aaeb24, 0x66b04930, 0xa9b0ae4c, 0x3a79c699, 0x70c38881, 0xceb7b801, 0x8f71e7d8, 0x7a2f6cc3,
+    0x2f6c6be6, 0xa898eb7b, 0x8bffd96b, 0xd7f83bff, 0xe2228e2f, 0x7f41216d, 0x7dafd11f, 0x2dfb2329,
+    0x62ae8848, 0x4c6bd743, 0x151e9bb5, 0x165a55fb, 0x116e24a8, 0x7247b5cb, 0xbba020da, 0xa1a29593,
+    0x13d85ea0, 0x2aa9329e, 0xdd0c66a6, 0xc64e9de3, 0x716a6da6, 0x608f7e4c, 0x440fd092, 0x4564c236,
+    0xcca81e00, 0x02fb5634, 0xced9eb5a, 0xeeabd6a8, 0xd9e107a0, 0x1cb83d60, 0x0493ec76, 0x9338568d,
+    0xee47ce61, 0x8a2688a5, 0xd101a3fb, 0x259135b9, 0xd006d1a3, 0x27f7e344, 0x230356f3, 0x3e2d77ba,
+    0xcd404fa9, 0xc5fa2321, 0xd189f02b, 0x90312a07, 0xd752ff86, 0xb4d9ff0a, 0x4e26cf9d, 0x5c45ee57,
+    0x9c7a1c4a, 0x3cf6c12f, 0x010087c5, 0xd8ffb93b, 0xa2df94f6, 0x7a636a6d, 0x6aad0b55, 0x8da829fc,
+    0xd3613837, 0xf0423789, 0x57524539, 0x7963e176, 0x65019aa9, 0x3be33804, 0x772016c1, 0xeff67efe,
+    0xeb1b6692, 0x407a5131, 0xf3cb201d, 0x41a464fc, 0x275e6724, 0xa3a6f577, 0xf0c02e97, 0xf6397429,
+    0xf2d1fe73, 0xf951abcd, 0x170158f9, 0x7919793f, 0x5280eb8f, 0x48f96f1e, 0x89b38a98, 0xd51fe22e,
+    0xa2666f64, 0x48a8919e, 0xf22e7473, 0xd8072372, 0x0c642f75, 0x7d9b2f7e, 0x20a35747, 0xb2201629,
+    0x13693122, 0xdb6ff47f, 0x2b0b7d35, 0x58117742, 0x7a2eede7, 0x53ffa5b3, 0x3784abd5, 0xf236f4dc,
+    0x3bba96ee, 0x2bc30d2b, 0x805f9c52, 0x1ce6435f, 0x856affc4, 0xb684bcd5, 0x90204887, 0x2131ee43,
+    0xb9281c28, 0xadfa7329, 0x934006c4, 0x196c617e, 0x3b8fb6ca, 0xb039b853, 0x876e3e32, 0xa1d5943e,
+    0xb805aad2, 0x8f6b969c, 0xb3861231, 0x518b887f, 0x614e60b3, 0x0be7a6a8, 0xe2496794, 0x4b1badf8,
+    0x5852d89d, 0x19325c94, 0x2d2ea1d7, 0xfb995587, 0x3ae04cb6, 0xdcae50ec, 0xb1c38555, 0x35f2d68b,
+    0x80aacd0c, 0xbd65f0c9, 0x2411fe0e, 0x4f0d04b7, 0x075b1f58, 0xccf769b7, 0xc27144f9, 0x44f2bace,
+    0xe6c98809, 0x27b44370, 0xb9912024, 0x5d10b161, 0xfa1bcff5, 0x8a2af075, 0xf345dc4a, 0xe8fcf660,
+    0x3ea2f1b7, 0x6097b447, 0x90d9bbba, 0x5757a487, 0x09afb086, 0x448eb8a1, 0x90aab906, 0x5432ec1a,
+    0x8b5db977, 0xc94e8482, 0xfe27384c, 0x2ecc9b56, 0x5aef2d8e, 0xffe58db3, 0x5efdf590, 0xec232e61,
+    0x08cb82e6, 0x950f85b2, 0x7e1dc89a, 0x63aff8ad, 0x57084aa3, 0xaedb8945, 0x7cdd091a, 0x435e6489,
+    0x3d5125d7, 0x5a9d083b, 0xf16f1f29, 0x2c1b4593, 0x4865277f, 0x1d12d6f1, 0xafd48a5e, 0xd8fdb625,
+    0xee70072e, 0x62013a8f, 0xbfaed6a4, 0x6f2f9d76, 0xc78d634c, 0x99fd91c1, 0x376f0841, 0x9211d02e,
+    0xc6d88bfd, 0x54bd1648, 0x691d8e74, 0xa2e95e15, 0x5a15ad12, 0x9833698e, 0xd75f97f8, 0x9b02f1af,
+    0x5205be85, 0xe74485f4, 0x71a68250, 0x3eff071f, 0xf28db8da, 0xa73085fb, 0xc28e7f71, 0x25b7ae82,
+    0x4dd8cacb, 0x3ba12559, 0x00da346f, 0x9779de4b, 0xe3b3c43c, 0xdb776f07, 0xdddda2a5, 0xb64bc679,
+    0x2a7bf8dc, 0xf9464551, 0xbcaa1662, 0x34f8756e, 0xf39a648d, 0xf03d5922, 0x6106523f, 0xa243cd64,
+    0x82b4f8b1, 0xac4c208d, 0xc2f4c405, 0x787b25b6, 0x55ea6462, 0xe9d74c46, 0xa8f5b9a7, 0xc9357b0a,
+    0x62250ec1, 0xaea2bac6, 0x75671e94, 0x35ff7607, 0x8481b4a0, 0xbd7b6910, 0xb1f2e253, 0x3bd418e5,
+    0xaf5b2169, 0x27b23636, 0xda807739, 0x0069bd44, 0xeffe894c, 0x052308d1, 0x25bccebe, 0xcb20e3bb,
+    0xfd25359c, 0x58fefb50, 0x62566bbe, 0xf0fdfa04, 0x5efebd31, 0x74f8a86a, 0xfc197fdc, 0x7c2f6166,
+    0xea98c709, 0x21cbed02, 0x3b74bbb5, 0x11bdb615, 0xb4fc0033, 0x5cd0d293, 0xe418b200, 0x06fdb261,
+    0xcf03860f, 0x24a12024, 0x493b7190, 0x9d11ec08, 0xd69cad73, 0x14b2cb91, 0xbd1ca6db, 0x22648821,
+    0x5fa652c3, 0x017a9097, 0x1ad29978, 0x62d0be4f, 0x46506945, 0x41ef67b9, 0x2b891da6, 0xabe5cdbf,
+    0x3f280bb4, 0xaf4f9c7e, 0xb658f69c, 0x99851ea4, 0xe3cbd90f, 0x54de825e, 0x8df94491, 0xb3a8e104,
+    0xc8d9f5bd, 0x093cdd21, 0xcdc0d631, 0xd41b71c3, 0x03ffbbb9, 0xcac30d72, 0xc80c08a9, 0x1ca927d5,
+    0x550f7574, 0x274755fd, 0x4f003a02, 0xb9c4a6e1, 0x50a2abaf, 0x50fd937b, 0xa526da69, 0x8f0b232f,
+    0x41b57415, 0x30281681, 0x1e8c46a9, 0x92bb978f, 0xf02e4235, 0x8651bfec, 0xff913cbe, 0xe785bbc6,
+    0xbbff7738, 0xc57269f5, 0xc5b254ab, 0xc75e8dd0, 0x33013e3b, 0xa42ef9c2, 0x18126fb5, 0xd3212570,
+    0xc92c4fc9, 0x82286fcd, 0xadde9fc9, 0xf43f8be9, 0x8f684163, 0xac396cbd, 0x621aebee, 0x06f96554,
+    0x4aeba2b5, 0xf8afd80b, 0x6a55591f, 0xc0d7f5a5, 0x20fd3125, 0x4783dc41, 0x8fafb2f1, 0x31fa0949,
+    0xe9519a9b, 0x7a40dbbf, 0x1ac01469, 0x0517e200, 0x89d37a95, 0x83b9af29, 0xd4cf77ad, 0xb0074401,
+    0x95a07d0d, 0xbf7dbe34, 0x50b54ec8, 0x63f02e3a, 0xb56f1642, 0xaa4e3f5c, 0x8bb73a54, 0xc5cf8305,
+    0xf9c0da2d, 0x58ab89e8, 0x240911f4, 0x81998178, 0xed474138, 0xe1b4fba5, 0x1f921e25, 0x0e24d2b1,
+    0xc5e62f54, 0x055d2103, 0xffbf6df5, 0xb7a46113, 0xf7c76a80, 0x370658a4, 0xebb38da5, 0x8c5b0298,
+    0xfcc325a5, 0x2a12c10e, 0x98000f6c, 0x90af2fe0, 0xac779504, 0xaf61dad9, 0xb36f111f, 0x4503febb,
+    0xb3bf7c3a, 0x12155e13, 0xb2574549, 0x7ab9bc16, 0xdf5e61c3, 0xf17c446b, 0x4ff27ddb, 0xc912b3fb,
+    0x2b2fa366, 0xd1f34ec7, 0x6682832d, 0xd9b0dc2a, 0xfba3f0f2, 0x12c82f04, 0x779852e6, 0xd72d1a02,
+    0xbad54910, 0x1a2dbab9, 0xd19a275c, 0xe8eb5aae, 0x6dd5beb8, 0xf180e12d, 0x287dbbe5, 0xc1b8e3a7,
+    0x55efd73f, 0xbc30fa55, 0x886df4fd, 0x80fe43eb, 0x9c32a1aa, 0xc08dc9d6, 0xfd95abb9, 0xbc1bb5bd,
+    0x438dee91, 0x9cd7d134, 0xa83abf75, 0xe3aeb1f2, 0xa5ab7226, 0x5e608f4c, 0xad6de822, 0x57e38e21,
+    0x8f3297be, 0xce779812, 0xbd3035ab, 0xe2f1f106, 0xa8d1bf06, 0xbbe33301, 0x00e94cab, 0xbfc2f0b9,
+    0xbabccf3b, 0xd75880f6, 0x2df3c2a6, 0xa250e17a, 0x3d93629c, 0x1fa3a273, 0x5b356aba, 0xac9e6ae7,
+    0x032ef35e, 0x440507b8, 0x43020541, 0xf52fe4b2, 0xc9d1b5a5, 0x9fb6c4e7, 0x0cd0e19a, 0xd0c117fe,
+    0x2379ffd0, 0x2663dad3, 0xc1f98f81, 0x7439974c, 0xdb27bc29, 0xb9b4cbfa, 0x16a820eb, 0x296a025c,
+    0xf4d30ecf, 0x6f36c5a3, 0x23a432d0, 0x34e35459, 0x0e79d5a1, 0xa99c1bd2, 0x2f93f303, 0xb54700de,
+    0xd2bdeea6, 0x121ba504, 0xc9612766, 0x5d746a75, 0xcaed1e71, 0xcaebd98c, 0x03f051c4, 0x5c566f94,
+    0x8a7d6b86, 0xe0dad4c4, 0x7f549eb5, 0x239fe693, 0x04737f01, 0xcfe48498, 0x461edbd9, 0x6dfccecd,
+    0x9a4924a5, 0x6487f37e, 0xaf21a774, 0x4d653d6e, 0xd61c61bc, 0x81164e9b, 0x33249875, 0xae75a066,
+    0x5021f84d, 0x6a28fee1, 0x2ce28653, 0x4be7f6a9, 0x99ce6be7, 0xe23632be, 0x60be0b91, 0xedc9a4bd,
+    0x840f2fd3, 0x7096adac, 0xbb6f9e1b, 0x4f783076, 0x407d1c4d, 0x03e48259, 0x3741b588, 0xc66981af,
+    0xfef6d237, 0xc6e4811c, 0x114cf97b, 0x61117543, 0x2242c012, 0xa91f1982, 0x767bceba, 0x757fe5a6,
+    0x00000000 }, /* 10**00000000000000000000000000000001652639921975621497379788270081927599571011707\
+                         41070304821162198818601447809077836456297302609928821211897803006255839576064 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a,
+    0xff1bd9d6, 0xa748db56, 0x404173c2, 0xce833287, 0xef4eea8f, 0x9d1f125f, 0x55b1d685, 0xeb0a1af6,
+    0x00000000,
+    0x8d1be752, 0x81870be9, 0x3ca0db8e, 0xec2e225d, 0x2c2aafc4, 0x5b43eb5d, 0x520e714c, 0xf2651327,
+    0x3adf236a, 0xe9ae3ef9, 0x319e3e2d, 0x81bc66d4, 0xb71802c4, 0x3de08963, 0xa4a6f96c, 0xbc28e4f6,
+    0x4c7887e6, 0xbf7dd7d5, 0x9971a919, 0xc018244f, 0xf14ae497, 0x0febab74, 0xb8eee1d8, 0x9a74859d,
+    0xbea1fab1, 0x1da14482, 0x4324e1cf, 0x7df42d61, 0xc6409c29, 0x9f6782b7, 0x588acce4, 0x8fc41891,
+    0x817602e6, 0x8c059b94, 0xe3748c8a, 0x275120f4, 0x08d2015e, 0x971b56c4, 0xb2e7cdbc, 0xf1b70d38,
+    0xacf9b986, 0xe14bc6e2, 0xa70bcf74, 0x8a998f07, 0x31e02709, 0x61083ed4, 0xf60cd314, 0x3b1aa852,
+    0x2ce5e5e0, 0x1ab16068, 0x9ed1b381, 0xd09dee48, 0x5c06b334, 0xe58e6fc6, 0x371d0a72, 0x854581bd,
+    0x3891337c, 0x7b5c55a4, 0x2943200d, 0xc40ecdb0, 0xa3b09379, 0x95bf7af0, 0x6d319ad8, 0x88126eba,
+    0xa92a0174, 0x7199002d, 0xd6d3c519, 0x3e09c97a, 0x815c12ed, 0xae93353b, 0x0fdc8c06, 0x80ead96d,
+    0xda897f4b, 0x9b2c8821, 0x2c252b19, 0xcdec2fbe, 0x4b13fe2a, 0x90b6d9ad, 0xd4cba1fc, 0xf7978d0f,
+    0xcd5ed906, 0x302f2459, 0x53f15e11, 0x39edf7ea, 0x233ee5b6, 0xa34fea6b, 0xa350d0bb, 0x2a75fad5,
+    0xdac8bf58, 0xae622cf9, 0x6a2263c3, 0xb78c48d8, 0x05d765cf, 0xc0577c4d, 0xeb04c6d2, 0xa4fb7e9b,
+    0x8497a26d, 0x522503ce, 0xb556054b, 0x1a7e989e, 0x81738d49, 0x1c76366e, 0xbb73491e, 0x7ca6a005,
+    0xc508a4d9, 0xc38c22bf, 0xb5d84ff8, 0x2d9b6650, 0x564dffc0, 0xae552af5, 0x73c97697, 0xa4a42aed,
+    0x763bb573, 0x1b9c5640, 0x90ccce9a, 0x7a768a1c, 0x6ba83fdc, 0x26c1d91d, 0xe5cfa4f6, 0x9e57d052,
+    0x7b8effb4, 0xfb161ce0, 0x45fef240, 0xab8e260a, 0xb4f4d6db, 0xf15cb55d, 0x03251a08, 0x8e694db2,
+    0xc4c62e54, 0x453ad5c8, 0x79bb1f9b, 0xcf2d4104, 0xeb8b7d90, 0x12768535, 0xab6dcb60, 0x82da09e6,
+    0x382de5fb, 0xae30059d, 0x14cfd217, 0x83a7f2f8, 0xbef35df2, 0x97900736, 0x208399d1, 0xcea3adb7,
+    0xbe815651, 0xf69b9832, 0x77d7307d, 0xd0ab3386, 0x28b5e6ce, 0xc6d19642, 0xdb17718a, 0xf6464fc6,
+    0xe695d862, 0x461033e9, 0xcc1731f2, 0x63231e00, 0xa381e126, 0x5b4b6726, 0x83a7f6a6, 0x004db4c5,
+    0x334e562c, 0x2a47659d, 0xd701be9a, 0xfa1bf24d, 0xe8d0bbdc, 0xdc09d73d, 0x8d77eb4a, 0xf45ff138,
+    0x9fdd62c9, 0xe88442a4, 0x12da282c, 0x739df3f0, 0xb5551dd5, 0xa9abda50, 0x2477184b, 0x4f248292,
+    0x9956ceeb, 0xc62dac26, 0xe108838a, 0xc0f620cd, 0x46e1ab95, 0x72380392, 0xce3bb636, 0x479fa7dc,
+    0x9e147012, 0x852f2031, 0xe719a100, 0x94c330d9, 0x2cb13929, 0x098847fc, 0x2f30fc57, 0x5b0ebf8e,
+    0xce62ef5e, 0x53751538, 0xda66dae1, 0xc930343c, 0x97c939ec, 0x6ac3d8f5, 0x48d82ad2, 0xff07e2b5,
+    0xb72326f0, 0xf2a66ee4, 0x801ad799, 0x4f4b9874, 0x2cb17bef, 0xe559f916, 0xb3e47129, 0xd08be383,
+    0xcc4f1cef, 0xe1d83f64, 0x27325c1c, 0xbbadae19, 0xab980742, 0xd4c41f0c, 0xa3ef6bfc, 0x53ab829f,
+    0x8b109440, 0x6e890109, 0x9e12f2c4, 0x18b5e291, 0x7d27cbff, 0xbb400522, 0xca0107d4, 0xefacf218,
+    0xf79e26c3, 0xeb460ad2, 0x304c8471, 0x4eb26629, 0x5a534ab4, 0x156b713d, 0x85d38945, 0x07544a1a,
+    0x532f45bd, 0x4165a025, 0xa386a903, 0x4f051671, 0xd18431a7, 0xa9bf18e8, 0x78ae3820, 0x85fb87ae,
+    0x933a6a96, 0x7d6c7756, 0x5dcabb97, 0x41ee54d5, 0x70e96920, 0x371480d0, 0xa8598f07, 0x97718955,
+    0x4dbf39b0, 0x41587ddd, 0xcd456bc1, 0x7eef502a, 0x2dee1ee4, 0x90cd01bf, 0x9cdb6792, 0x1c3b1bc3,
+    0xd51203e5, 0xc91b5c87, 0xade9b8bf, 0x31b249dd, 0x900ca65c, 0xb15e3ded, 0xc199ad12, 0x3b8e08c6,
+    0xf16e18c2, 0xebc9bde8, 0x84953871, 0xbb59eadb, 0x91c58a75, 0x4def39a5, 0xbd5ebfe7, 0x956834bc,
+    0x106b4e12, 0x64c98a3b, 0xc3c55d42, 0x4f83ff7e, 0x0cbc9d9a, 0xf02a8767, 0x936995e9, 0x0f1cfb2b,
+    0x8d46f36e, 0xf9852832, 0x2d2c1925, 0xb3acd37c, 0x1b458b65, 0xa6cfea05, 0x156fe725, 0x470dddde,
+    0xa89fd32f, 0x14fced0e, 0xedea205f, 0x067bf876, 0xdbf3d391, 0x960fdbf8, 0x5553fe7d, 0x85f961a5,
+    0x7f282b88, 0x1b2d491d, 0x33687ed3, 0x3423eef2, 0x2deb9830, 0xcdd2d449, 0x3be49288, 0xb1c01142,
+    0xfd0ac36a, 0x21966c91, 0x00e75146, 0xe31ebd14, 0xe960ff0c, 0xa83080fe, 0x3ac53c57, 0x7a124baf,
+    0xeeba32cc, 0x8355acc9, 0x4222b86c, 0xda984c76, 0xbd791ba1, 0x3de55ac9, 0xf90787f6, 0xa759782f,
+    0x18f0624b, 0x5695e5d1, 0xb961a345, 0xe7c69675, 0xb595a29c, 0xc27482b2, 0x70fb8a7d, 0x4bfce770,
+    0xd767b9c2, 0x3ce5a600, 0x02ef6c27, 0x192b72ef, 0xf600c3b5, 0x47f00914, 0xadbd9154, 0x921d46c5,
+    0x09ffcf80, 0x31944f6f, 0x02c45b3e, 0xb47abb5f, 0x4c983c84, 0xad3bbd05, 0x6b863863, 0x32a3ceb4,
+    0xf65edd1a, 0x34bdcdde, 0x30cf702d, 0xd434643c, 0xe629a0a2, 0x7eeab2e0, 0x6a86fdd6, 0x085b0f4f,
+    0xc8531788, 0xee00b3db, 0x7c1f6f4f, 0x72ca069e, 0x61e31af4, 0xd73ec797, 0xce6bd163, 0xc07cdc28,
+    0x324e19a0, 0xafba06fe, 0x977e30a3, 0xbabf7b01, 0xb1054f6e, 0xf331882d, 0xa03d0e49, 0x1b46d45e,
+    0x9f825b11, 0xb0ee64b6, 0xef0fcfe2, 0x08130597, 0xad192574, 0xd234dd83, 0x8af741a7, 0x220287bc,
+    0x23529395, 0x2c476be1, 0xc5e14b75, 0x8a11ac84, 0x768d1017, 0x89b73f5b, 0x0276e97e, 0x8ff88508,
+    0xe256a1e7, 0x3e0e29f9, 0xb4f95e5b, 0xcc3889c0, 0xf400011c, 0x06941c31, 0x0394c1b2, 0x870a0ac7,
+    0x475062f7, 0x77897f8f, 0x0255d485, 0xbbec69b6, 0x4de7971f, 0x0b4c32dc, 0x7a803f38, 0x808fc2a5,
+    0xa5f91a54, 0xedbbf41b, 0x06c85478, 0xf96c72f6, 0xaccdbdc4, 0xc1e82f94, 0xdbed14a1, 0x39b9cf53,
+    0x47ba19dd, 0xfbf81d03, 0x464dca09, 0xd9385b7c, 0x9416b73d, 0xfd4d28c9, 0x6237ccb0, 0x1ae14c9b,
+    0xe2d634c8, 0x26a35247, 0x11c60b5b, 0x96535adc, 0xbfa254ef, 0x29b18a30, 0x35d0e881, 0xac185fa3,
+    0x147ad680, 0x30d1fa87, 0x5414c7aa, 0x0257f87e, 0x5e6ee3ae, 0x89770a17, 0x6a2912b9, 0x3f4e6ba6,
+    0x8ff92894, 0x414df24b, 0x118be602, 0x769bc791, 0x801da3b2, 0x781d62fc, 0x300db3ef, 0x9056d344,
+    0x7c596095, 0x98c45230, 0xd47e06bf, 0x1271161d, 0xdf71c66d, 0x180d0627, 0xe2fd9330, 0xc9b38e6e,
+    0xde05bdfa, 0x8e83a7a7, 0x691da115, 0x010a6b80, 0x22735d1e, 0xf43526bb, 0xe2e154ce, 0x0a6bad9d,
+    0xe2a33226, 0xf6ae9c54, 0x35f4afe7, 0x4d8d063a, 0xa40bcdae, 0x8f7796ac, 0x1c2b82a0, 0xf8bbb238,
+    0xf3f43c39, 0xa22cf96e, 0x50ddf5b7, 0x76c72c4d, 0x93a43def, 0xb0ee8bb4, 0x99e02092, 0x69d29fa1,
+    0x61d8884f, 0x62812dc6, 0xc365596f, 0xdcdf0bb8, 0xdd97de60, 0xa982ac7b, 0xef5a13b3, 0x42e081d2,
+    0x2ccb76c9, 0x9410009d, 0xa7e33154, 0x1c903295, 0xf62a2f98, 0x5e6251cc, 0x70cfb407, 0x350e597c,
+    0xaca3780a, 0x7e5d0074, 0x6473b3c0, 0xa3b19778, 0xe452b714, 0x3f47d5c5, 0x1c3ec38b, 0x099e9e32,
+    0xf7a0ca71, 0x1067e9c8, 0xe96631a4, 0xd622cff8, 0x0a6a4fea, 0x6cd9559b, 0x4f9eab18, 0xa5aa5a39,
+    0xb78bdc95, 0x28435dac, 0x69213c9f, 0x8b304d80, 0x3816b2ce, 0xf0c7c2aa, 0xb33696fa, 0xee3f0c4c,
+    0x55966945, 0x57a2bdef, 0x72691ebd, 0x46ca8793, 0x5a8f62aa, 0x14342dce, 0xc5b1cace, 0xc0cf71ba,
+    0xd6f181dd, 0x7b1e46f6, 0xf8957c7e, 0xf796bc86, 0xea3064a9, 0xb85a9d27, 0x6f939c51, 0xa22b9788,
+    0xeed2fa39, 0xcfa8f04a, 0x786b002f, 0xe38d6946, 0x65ee56a4, 0xb971a2bf, 0x07affc20, 0x8ac697c3,
+    0xceb8c76a, 0x8c6636f5, 0xdec77669, 0x03d5c15b, 0xba393112, 0x2a20d98c, 0x85935b65, 0x15635c85,
+    0x97f8f22c, 0x8b546584, 0x72b11b13, 0x85b7da61, 0x66673536, 0x809c4074, 0x7bc4ce4f, 0x19d77f75,
+    0x25d8d210, 0x54d5688d, 0xaffd7926, 0xb1a1c20a, 0x9c9349dc, 0x04814fa1, 0x6093c693, 0x6d119864,
+    0x7f382136, 0xd7e3a7dd, 0x97d8cbe9, 0xe08f5bba, 0xe31472fd, 0xe6df1b68, 0xf03b890f, 0xf72a8d98,
+    0x2af2e754, 0x6e53e0e8, 0xeb0aa5f8, 0xf3b4e47c, 0x07dc62b7, 0x6691bb2a, 0xdc0a9b4b, 0x10d0bb8d,
+    0xec0f7429, 0xd0a5372b, 0xd7679caa, 0xdd4e796a, 0xdb7d9d30, 0x025acbcc, 0x1d54bd4f, 0x74fb08fd,
+    0x32275b44, 0x53b2331e, 0x4bb58316, 0x7133605c, 0xda7a72bf, 0x07c2b1ed, 0xe2d7bba2, 0x5bd76bb4,
+    0x966e4a85, 0x85c60af2, 0x5654b776, 0x80c380e9, 0xed815022, 0x13c16ac4, 0x9966eeda, 0x673262ea,
+    0x70dbcfc2, 0x7f82ddff, 0xb08c9a0b, 0x9e8f9fd0, 0x3c50208d, 0x4961ba6a, 0x755269fb, 0xdb20fa32,
+    0x169203ba, 0x520494cf, 0x15c30ac8, 0x0c76807e, 0x3292ad95, 0x4a4d6554, 0x359c9d99, 0x7a46dabe,
+    0x95281ee2, 0x5f474b3f, 0xeac4c008, 0x9b503fc7, 0x85eab3b9, 0x11061091, 0x69df1660, 0x85b07fbd,
+    0x70e293bc, 0x90e5fb19, 0x4a3c089c, 0x0d60620e, 0xe80ccfee, 0x88382148, 0xd140e229, 0x59d25209,
+    0x2e46cbaf, 0x9c969eff, 0xd89dcf7d, 0xdae984a8, 0x95cd031c, 0x8ea05991, 0xbe9f747e, 0xfc6b16ac,
+    0x607244af, 0xdaef643f, 0xc1b46b00, 0xfb385571, 0x30a990ea, 0x771aa231, 0xa2a1c7e2, 0x76d78f05,
+    0x32170a3f, 0xfe90f90c, 0x991535ed, 0x704b6955, 0x73729ec1, 0x199358aa, 0xe233afe8, 0x7e3ec273,
+    0x05d43914, 0x0e7a0893, 0x3483ccc2, 0x516144b8, 0xe26b475a, 0xf2d833b8, 0xe5ce7198, 0x23773da2,
+    0xfb0bb24e, 0x0533aea0, 0x2bff4501, 0x14524e89, 0x918e9be6, 0xb8dc4163, 0x563e68d8, 0xde770596,
+    0x960d118a, 0x4d4aba20, 0x0ef03dae, 0xe3ffeaff, 0xbeaf2463, 0x15b455e1, 0x9d5e3798, 0x9f8ee3a4,
+    0x73e2c419, 0x589681f2, 0x1a34447c, 0x881d3ca4, 0xa71f1060, 0xa4938a59, 0x5f04cc76, 0x1eef4825,
+    0x4411fb03, 0x7cc9f748, 0xe6498245, 0x13565fbc, 0x149ce11e, 0x4c5485dd, 0x5391a8e1, 0x05687295,
+    0xf08e3fcc, 0x0a63ca0a, 0x1a566b7c, 0x60b61d10, 0x8acde74f, 0x64ea9624, 0x9d3f76ba, 0x586262ef,
+    0x30c0952f, 0xf1e3b348, 0xc01228ec, 0x92a009fc, 0x7d67acf7, 0xbf25a337, 0x712f3b22, 0x11f97c4b,
+    0xde084709, 0xe19d9a95, 0xdd13bcfc, 0x81abb59e, 0x2dfcb4bd, 0x4c18229b, 0xdf0accde, 0x2ff1b155,
+    0x9aea3fd6, 0x1b3d93d4, 0x4b658962, 0xed2ef2ea, 0xb46de81b, 0xf7603ec5, 0x65cd301d, 0xe2d50e56,
+    0x7169ad93, 0xb6ffb6c9, 0xa7970459, 0xcb6ea3e5, 0xfd63547d, 0x67df524c, 0xa8a1053a, 0x438a639a,
+    0x64810937, 0x73035dc0, 0xc4121dca, 0x88ebeb3b, 0xe36197da, 0xdc055984, 0xc39fe847, 0x5938f430,
+    0xbd4fd5fe, 0xb960aa91, 0xe0c52035, 0xd8624edc, 0xb152c538, 0xb32b1ad0, 0xedded8ba, 0x7dbafbe2,
+    0xd77c3805, 0xd547cf25, 0x363d00ae, 0xe047ec20, 0xb4fbc410, 0x32ebd6cd, 0x9b390d63, 0x4dcefbf4,
+    0xa5e4b6ea, 0x3ef0a26d, 0x22ab1154, 0xa52007a6, 0xc080ed02, 0x6d313b30, 0x44289823, 0xe13e3b71,
+    0xe265f818, 0xb408e06e, 0xc7ee2fa5, 0x5b1d7009, 0x790baa4e, 0x73d7a0c7, 0x447ef3fe, 0x64258eef,
+    0x886381fb, 0xc9598c08, 0x24690e8f, 0xafe9152d, 0x162637db, 0x5f2a7ddb, 0x2a0c8f0d, 0xadd6a46a,
+    0xccf5315b, 0x656e661a, 0x12fe73a4, 0x8c0bb546, 0x970e360b, 0xca8a3098, 0xb0af02d1, 0xa3b824f4,
+    0x148d162f, 0x092c5a81, 0x0bb3919d, 0x8fac4588, 0xcb7f6175, 0x1d7cd3f8, 0xf95301cb, 0x015105a6,
+    0x602b2ff9, 0x0bd96ead, 0xa1928281, 0x8b5c5e77, 0xeb20a0d8, 0x509cde01, 0x797a716b, 0x6c726874,
+    0x4fd560e1, 0x1c06f85a, 0x35cf4e77, 0xd9a1eb83, 0x26c20509, 0xf9efb4ed, 0x94f9bc60, 0xd514f203,
+    0x771c354f, 0xf749c2f6, 0x271b889b, 0xa1b73cc9, 0xfee49ac8, 0x005054cb, 0xc96f0129, 0x75bee185,
+    0xd88da6ee, 0x9131e42c, 0x06ac690b, 0xa293df74, 0xd5ffccd1, 0xd563995b, 0xdfa83797, 0x5c969670,
+    0xa9cb81e6, 0x3a53d64a, 0xd9a97a8b, 0xdf2b3bfd, 0x198d07b9, 0xdfde7da1, 0x44f441c1, 0xa2007f42,
+    0x9909db44, 0x93d37df1, 0x8b36d100, 0xd8dad10f, 0x50fee4de, 0xa79a77e6, 0xf9eff0d1, 0xb20b6623,
+    0xadaf2533, 0x1ab9c803, 0x57461776, 0x7dbbe9ec, 0xee58c197, 0x2021ec32, 0xfe0753be, 0x2b8fa6f6,
+    0xff824b4c, 0x3d46c2f4, 0x9079d459, 0x03f4671a, 0x8dfe46b5, 0x1e511fb7, 0xc5b5ef62, 0xa7bac3b3,
+    0x6410cf64, 0x24141fd0, 0x667d5d52, 0x168cdae0, 0xd3548184, 0x78d32bbe, 0x1de23b2a, 0x51aaf559,
+    0xa37bd070, 0x39a785dd, 0x8bd5b222, 0x54d847d1, 0x25685c4d, 0x708523ba, 0x56f05e61, 0x148e42ec,
+    0x44c3895d, 0x9236216f, 0x2a259434, 0x655ffd89, 0x8e43b932, 0x3af7a93e, 0x5957e82c, 0xef294b4c,
+    0xe3850ea6, 0xbbd9ab19, 0xd7c5dc4b, 0x8a86c94d, 0xecf80674, 0x415fb930, 0xb50b574b, 0x989424cb,
+    0x69983322, 0x91feb00d, 0x4b6a084a, 0x8e280689, 0x45a65d87, 0x88269ffa, 0x1d7f9f8f, 0x27e6aa87,
+    0xe2b034e8, 0x68e251a1, 0x5db8f90e, 0x3da0e4c5, 0xc2dc4ce7, 0xd1207545, 0x46965fe6, 0xb1fc32f6,
+    0x9190bfed, 0xaf3bc625, 0x0e7d575e, 0x0e0555a6, 0xfb21d97c, 0xc5e4ade7, 0x2a2f2603, 0xeeafa953,
+    0x9844a3e6, 0x67cf62a6, 0x760fdad5, 0xfe75fac6, 0x58a9d816, 0xa3dc1477, 0x5ab99c44, 0xf6abd550,
+    0x84e3011e, 0x486c32a1, 0xbb08627a, 0x6a6b34b4, 0x7d2becc9, 0xba590835, 0xe4a685c9, 0x25545be1,
+    0x2915ec6a, 0x32cc957c, 0x357ae6bb, 0x3ebaf57c, 0x01461510, 0xd04a08a0, 0x1571cc86, 0xf2766eaf,
+    0xf5329d3a, 0x70761169, 0xc13cbb74, 0x5062d86c, 0x7337cfce, 0x51f42fa4, 0xc4c09371, 0x375ccbf9,
+    0xf81ba229, 0x73684171, 0x07957307, 0x8cc47c15, 0x159a30ed, 0x4b85ad56, 0xf9e69099, 0x6069fa95,
+    0x85c8cfbf, 0x027549f7, 0x363dbfab, 0xef0eaf0b, 0x8becb357, 0xd392d816, 0x1a395332, 0xdc4bbfa0,
+    0x5e16c6b8, 0xc02af0e0, 0x821acc22, 0x52992ff9, 0x1e5c8a74, 0x8102b4e6, 0x575979f8, 0x4d7e2d86,
+    0x5cb62e68, 0x398f6232, 0x5fd5debd, 0x4e3f918a, 0x4afd6108, 0x806e6d36, 0xc9eb935f, 0x49f0aa10,
+    0x5fde887b, 0xe2dfac64, 0x03770c3d, 0x1cd337ca, 0xa2a339d1, 0x652b996b, 0x44577386, 0xceba3240,
+    0x69dd986d, 0xfcda6782, 0x8202404a, 0xdcb096c7, 0xff4bcf43, 0x0e287b21, 0x30239ed7, 0xe7feba29,
+    0xf9841ac1, 0xaa01d49b, 0x18aebdc7, 0x3aa1313a, 0x43d9c54f, 0x5d7dfb68, 0xb9f44100, 0xac0eb309,
+    0x00000000 }, /* 10**00000000000000000000000000000000826319960987810748689894135040963799785505853\
+                         70535152410581099409300723904538918228148651304964410605948901503127919788032 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15,
+    0x7f8deceb, 0x53a46dab, 0x2020b9e1, 0x67419943, 0xf7a77547, 0xce8f892f, 0xaad8eb42, 0xf5850d7a,
+    0x00000000,
+    0xbe1019cf, 0x00b522dc, 0x88f91e37, 0xb0674ba8, 0x2fe37f34, 0x8b8edc4b, 0x9968a17a, 0xf3adf9a2,
+    0x6411f3d1, 0xf076b753, 0xacb4007b, 0xa5ce0e69, 0x2a0a5ecf, 0xa673be4e, 0xc490672b, 0xb1c59143,
+    0x2941ef40, 0xa82bf921, 0xfd0b3bed, 0x20b515c8, 0x35e4a6f8, 0xe7d6b87f, 0xb31a968a, 0xb5d626ff,
+    0x622cc8c5, 0x9123d5f5, 0xdd6a5d9c, 0x621cedc2, 0x0e97d9d2, 0x2bbddfb6, 0x16ea4cba, 0x5ea52812,
+    0x9e2d64c3, 0xe7a46896, 0xde84774b, 0xea520c27, 0x1f209d97, 0x9d197055, 0x0f7a945d, 0x9f278922,
+    0x7a891bba, 0xe38dcf0c, 0xf9746972, 0x8b78c338, 0x880153be, 0x663cbcf5, 0x643ded8c, 0x64c5cbde,
+    0xdf4601a2, 0xecf0d0cc, 0xf62a798a, 0x214ec9a5, 0x2c7b798d, 0xc9c22d77, 0x1dde4d80, 0x140eb7b3,
+    0x8cac8bcf, 0xc9fd5892, 0x3d564e33, 0xd849159f, 0x52021553, 0x10cf98a1, 0x50d1406c, 0x55f1d2ce,
+    0x439fe944, 0xf8a96d23, 0x575812ad, 0x6306a040, 0xad11efbf, 0xe640d97a, 0x5e3ae1fe, 0x0509e0d3,
+    0x0366b4cf, 0x668bde32, 0xd6db25c2, 0xb1da7748, 0x1bdc985a, 0x42b2b4b5, 0x1ff35de6, 0x0932a991,
+    0x3f9eb202, 0xb76c405d, 0x3d3067c3, 0xf1472b5f, 0xba396a99, 0x2c4c6618, 0x8e7e2b5a, 0xf98f433c,
+    0x84512677, 0x48b78aca, 0xb479c62a, 0x50f9c559, 0xd5f100ef, 0x1eaf5b92, 0xa774b4fe, 0x191c39c7,
+    0x09c26d9b, 0x4eae3988, 0xec1f7640, 0xd0e31f6c, 0x97d440d9, 0x7ff8b61d, 0xe7ba057b, 0xf883a8f9,
+    0xfbd7ac4e, 0x24569ce7, 0x3afc7313, 0x4453ccbc, 0x8c3e85f2, 0x2a0a1b54, 0x65d1bc75, 0x551af658,
+    0xfd6f4be5, 0x5b7a275d, 0x1a86d129, 0xe4148253, 0x2da2a230, 0x59fb5a3a, 0x7dbfdddd, 0xbaaf72cf,
+    0x693084b7, 0xb2f538bb, 0x2e30f42e, 0xf3562467, 0x38e59f8a, 0x976e064b, 0xd91f5325, 0x185b2773,
+    0x4f7cb70b, 0xfe905c2e, 0xe21dbc76, 0x9204e349, 0xbeb72087, 0x65c5f69a, 0xdae6ffb1, 0x2245dbd1,
+    0x7f7c010a, 0x57d9bdf9, 0x46b78681, 0x1cf22f90, 0x719d0700, 0xe1c33079, 0x21380430, 0x92e84748,
+    0xb76ae64b, 0xc665e058, 0xc50b13bc, 0x8e253394, 0xc34e6847, 0xfe437346, 0xb58693c2, 0x672c8b08,
+    0x120756e8, 0x60237025, 0x1fcfa86f, 0xb91359a2, 0xa66e3029, 0x3fdd2bbc, 0x30a21421, 0x8e289de2,
+    0xeb2efd34, 0x50b0e20a, 0x53127c5f, 0x58c5be8d, 0x265dd394, 0xfa8fac45, 0xef668572, 0xc7af420d,
+    0x2b4382a1, 0x87c348ad, 0x5bc1fcae, 0x52fb1f81, 0x00ac46c3, 0x12b7110c, 0x3467e0fe, 0x4996c192,
+    0x1bb5caea, 0x1d928167, 0x93ff57b5, 0x40d48e51, 0x00149efe, 0xfb5568af, 0x24977162, 0xe0e75524,
+    0xeba4dc9b, 0x06c65d22, 0x6bf9588a, 0x3afe2f42, 0x8582d55c, 0x8eacf4a0, 0xc6b644d1, 0x66d2be54,
+    0x9757a063, 0xe228ecbd, 0x80adbb32, 0xf45aceea, 0x879aaf78, 0xea63f2fb, 0xb6e288c5, 0x3cdd7a07,
+    0x69b53004, 0x5a71aeca, 0x96910d0c, 0xb43f475b, 0x7b6e406c, 0xc553e914, 0x0707bb1b, 0xb9240a7a,
+    0x586b1ae1, 0x01c9c459, 0xb9e446a3, 0xd1a2eeb9, 0xc78ea219, 0x00556edb, 0xfc888fc1, 0x1c522440,
+    0x77ececea, 0xf9257f67, 0xea43331e, 0x3145c9c3, 0x349d86c6, 0x5975991a, 0x68d897ab, 0x1ad89cf6,
+    0x6f621043, 0x720a34d7, 0xcde14154, 0xe72770b3, 0x82a8a2d8, 0x0a7c6f2b, 0x74386a8d, 0xf3780730,
+    0x020975c3, 0xdecd1c5e, 0xfb2848b1, 0x2c6a159c, 0xac8b6b6a, 0xe29d34aa, 0xcf2818f0, 0x9d9c3705,
+    0x909061bd, 0x04a770dc, 0x540b4e39, 0x0b288c10, 0x46ea9535, 0x73bb5f46, 0x69800834, 0xea4d21f9,
+    0x405c16d2, 0x32601669, 0x22eb7004, 0xed07a755, 0xe4dd1e36, 0xc15b1965, 0xf1443610, 0x2ceca5f8,
+    0x5a2fb250, 0x481d7b05, 0xd4babbc7, 0xbe25b7d3, 0x15ec249d, 0xc05a6e68, 0x53a1e936, 0xc295ff4f,
+    0x3709305f, 0x3f66cd5f, 0xc316050a, 0x9ff939c2, 0x3b38cbb9, 0x9d02e115, 0xcf239024, 0x4ae54b20,
+    0x155e5676, 0x902b245a, 0x7d9e09c6, 0x96dbe82d, 0xac2cbe04, 0xe208af90, 0x097b8ee9, 0x0371a593,
+    0x60ad531d, 0xb0539463, 0x0dae5f6e, 0xbcf544a3, 0x90fc2494, 0xd6c30099, 0xd4384490, 0x24b83941,
+    0xa5f1a4bf, 0x805ec121, 0xa0ca147a, 0x98f345c3, 0xce670034, 0xa0c4588e, 0x6e617a80, 0x7660e45f,
+    0x19fd4659, 0x856fa7c2, 0x7a0b9b22, 0xc6238477, 0x94f919f5, 0xae28ad0a, 0x9de21e4d, 0x1e8fdc32,
+    0xab192a98, 0xa14f7fba, 0x5775abc6, 0xf8457f15, 0x5c52bd74, 0x2a05f6c4, 0x60eb75ed, 0xb2f2e56d,
+    0x8cfd6228, 0x1e615a65, 0xb0fb67db, 0x4f9add12, 0x73bd3d6a, 0x98f1beda, 0xe59e31eb, 0xb29bc7f2,
+    0xec6c2405, 0xa0aeddec, 0xfe6672e3, 0x418a9386, 0x5a544d82, 0x5985e1f9, 0xfd2b886f, 0x18ac994b,
+    0x9caffbf1, 0xd67ccf08, 0xac3792f0, 0xe64043c6, 0xeef519fb, 0x29e88a5c, 0x8b5edbc6, 0x67a42508,
+    0x8227c111, 0x9de7aef1, 0x75318c3a, 0x1b0728dd, 0xfd2a71cd, 0x8c42dd1d, 0x765d778c, 0x9d10dd7b,
+    0xbf441804, 0x7f2e4b62, 0x8b837151, 0x0b2d13f3, 0x3ce4a94c, 0x45cc5fa4, 0x28c9c8d5, 0x001524e0,
+    0xdac38ee5, 0x51b8764b, 0xd0b3a2f9, 0x0731546a, 0x83e0fef4, 0xbea1777a, 0xa0d17e2d, 0x4e0a0098,
+    0x3879b226, 0xa2f44979, 0x7f800c33, 0x3e5822f1, 0x5ae1d91e, 0x1ff2b652, 0x23ebb0ff, 0x8ef64480,
+    0xcd88f7eb, 0x8916ed89, 0xbd570800, 0xc1d5b9f8, 0xff4672c5, 0x06c37d9c, 0x08e439cc, 0xb79c4d36,
+    0x1aa5015d, 0xbf4db5c3, 0x4f297850, 0x3e2a7175, 0xa05daff3, 0xe2000390, 0x5500cc95, 0x2513038c,
+    0xd1b5d583, 0xbb72b52c, 0xc371af00, 0x285b9406, 0x6a48ed12, 0xf79addae, 0x3ad996eb, 0xd583759a,
+    0x5f59cbac, 0x66bbd529, 0x8ee1c666, 0x50bcf908, 0xec471d5f, 0x0c70c55a, 0xe70a1615, 0x35845349,
+    0x07efa00e, 0x2cabffb9, 0x421b655c, 0x156c7c76, 0xd6b30277, 0xdc9961fe, 0x9627647f, 0x7fab9218,
+    0xf6b657fc, 0xd2a11082, 0xfcef1bcd, 0x7258187b, 0xea4283ae, 0x8d014f2b, 0x16a25320, 0x8a5eccba,
+    0xb9295810, 0x1733e6b1, 0x01820d8e, 0x1be2660d, 0x6d213f85, 0x377a1106, 0x7b0491e6, 0xd992c7f5,
+    0xae3e73a9, 0x74d6e0b2, 0x5706424d, 0x70a8fa74, 0x3c65c333, 0x5d343ba9, 0x85b83af6, 0xeb85d741,
+    0x4fde11e6, 0xa78718e9, 0x2a0dc250, 0x7d4b9474, 0x4fdc5193, 0x9868328f, 0xd357ddeb, 0x7f22ae3f,
+    0x38ca35e6, 0x12e14a11, 0x4c0d352d, 0xa58ee328, 0xccf8ca9d, 0x2090ffb8, 0x1131edb4, 0xf8612384,
+    0xc5039e1f, 0xe967229b, 0x7d4f7aac, 0xb1c45f9c, 0xbbd0af44, 0xccf8f0e0, 0x93aadf21, 0x330b8082,
+    0x076c8063, 0xc33987ea, 0xcfcd78f9, 0x63d9fcd0, 0x413dd00b, 0xc119c443, 0x349ac8d6, 0x2dac3afa,
+    0x69ebbe28, 0x063387ce, 0x148bf5e8, 0x7f1b5aff, 0xefea3fd5, 0x9e8b7699, 0x4f463b5b, 0x693c01f9,
+    0x8e976ce8, 0x30726e61, 0x1424c9a2, 0xa56859a6, 0x87eadcad, 0x83594bbe, 0xdc899310, 0x21e1b8f1,
+    0x366ca388, 0x3b502095, 0xd61f7238, 0x3e53194f, 0x05b9c406, 0x1c1f6988, 0xae827f78, 0x65baf336,
+    0x29a2b49f, 0x65103e63, 0x24f4d2c1, 0x16d7e2fb, 0x8013f73c, 0x764e0360, 0x47429f77, 0x3dc736a1,
+    0x6881f787, 0x9c8ccf9e, 0x5083b81d, 0xaa943587, 0xf9200f74, 0x6e67dfda, 0xf26f90ee, 0xfd996200,
+    0x7f5f8570, 0x58fe2be4, 0xfe408e20, 0xa9c6b5d3, 0x7ddef31a, 0x86f90b94, 0x1d777649, 0xbd45d3be,
+    0x8b08b2a7, 0xfc3471d5, 0xb9a856d0, 0x7ddd15db, 0xfabd2007, 0xa3854bcb, 0x436bf095, 0x5cbd37be,
+    0x1ee5ca80, 0x5c70191f, 0x1f6f43e1, 0xceca6f47, 0x8d9110ac, 0xeace3a9f, 0xb11207b8, 0xc84010d2,
+    0xc7369f7f, 0x9b13ced4, 0x781c47cc, 0xd38c89bc, 0x8fc46bbb, 0x82ec9cb9, 0x898c5d6f, 0x946881d0,
+    0x31edf706, 0xd06f086c, 0x31a21616, 0xc12bfed9, 0x369b13bb, 0x8ce67576, 0x6b32c6bd, 0xe36907eb,
+    0x2cccb00b, 0xe391a16c, 0xa40bc41c, 0xf11083f4, 0xf3e54854, 0x888157c1, 0x217cb53a, 0x96fe37bf,
+    0x967244c6, 0x130f63fe, 0x6def2446, 0x02355501, 0xd76fd8d9, 0x60303199, 0xf3d04e2c, 0x33b95f7f,
+    0x6c0c9da1, 0x045c8efa, 0x04fb7114, 0xedd27add, 0xd8f67f2d, 0xc43c8657, 0x15204dd7, 0x789bf4ae,
+    0x3e5240b3, 0x7000c251, 0xd8c4704b, 0x0e17a60e, 0x06d0bcea, 0xbcb153d7, 0xac7bb5d9, 0x09c445a8,
+    0x5a50cb50, 0x94a9707f, 0x3e8e6f9f, 0x044b9635, 0xfba56443, 0x5ef18c45, 0x058242be, 0xd430eb68,
+    0x391e9e3f, 0xa8457705, 0x70755a49, 0x555aa330, 0xb09bf15a, 0x75385b87, 0x75421db1, 0xd51a5e50,
+    0xca16f495, 0xfb215071, 0x64450926, 0x8d5d079e, 0x723ee9e3, 0xeb4159e0, 0x20e94765, 0xab3cb10d,
+    0x3f3e45a8, 0x5d965ffd, 0x034e5ec0, 0xa62fc2d9, 0x9f557c93, 0x3fd087d7, 0x1fc28206, 0x2a909973,
+    0x16e66cba, 0xca3a0679, 0xcf64ab8c, 0x78703c74, 0x962f62e2, 0xe2ddd3d0, 0x83b89b1c, 0xe7be0d2f,
+    0x9cd087e0, 0xdbfd0d0b, 0xe67e32bb, 0x7a3f7cb0, 0x50762bef, 0xb8e6d535, 0x1f15ddaf, 0xe7589eaa,
+    0xe0118387, 0x61a09b6d, 0x58de3127, 0xeb4fc4de, 0x3213c56c, 0xb0806fd6, 0xad0b3d7a, 0xf8914bde,
+    0xc426cbf9, 0x12ca0776, 0x4b06f521, 0x5e4d25d1, 0x66a04359, 0xf1fd3395, 0x7c5740be, 0x00062fa3,
+    0x6289a18b, 0x6a4e1248, 0x6bded8aa, 0x54e08d72, 0x3aa78d5f, 0x8c38bbec, 0x55fc0c75, 0x3aa343a0,
+    0xe41a63c2, 0xc1fd2745, 0x36699937, 0x6dcce46d, 0xbe11168e, 0x25cc9828, 0x90fd3658, 0x304b165d,
+    0xd439d9e9, 0x33640d41, 0x9311fccb, 0x807026f5, 0xcd75c28d, 0x0f24897b, 0xf30cf202, 0x0187ad1a,
+    0xc6c8fc3b, 0xdf09695f, 0x1041f84e, 0x6ac8dff1, 0x67263094, 0x9873042e, 0x939fed39, 0x05cb064f,
+    0xfd1aef28, 0xe90a0c66, 0x71fda08c, 0x6d5aa242, 0x1016d977, 0x1c462d0d, 0x83c6428d, 0xde1a2d83,
+    0xd21d1881, 0x26f7d5e6, 0xd84d4268, 0x33f20d26, 0x6eb8536c, 0xa9308750, 0x7c5e698c, 0x6e71e0b1,
+    0x02999814, 0x72e63db2, 0x3d89d461, 0x3940fa0a, 0xaf340899, 0x5723d03f, 0xaa2eafe6, 0x20f2f91a,
+    0x7d69f7ee, 0x560acca2, 0xd1c902df, 0x77f90307, 0x9ae547e2, 0xffda31ef, 0xf02e5132, 0xd3bfd1b2,
+    0x42771618, 0x9de00267, 0xc384b21a, 0x9009c1bf, 0x1bb33db0, 0x8bc31eba, 0x33b16d3d, 0x4053efc4,
+    0x367db706, 0x1f893b3d, 0x08d4498e, 0x8327f813, 0x556ba49a, 0x277d4e2b, 0xdc69ffe3, 0x54e0085e,
+    0x9ef1224e, 0xc598849b, 0x2d9e273d, 0xa3a8c865, 0xfb6ed9e5, 0x11dd282a, 0x83a0d201, 0x0537916b,
+    0x046b439d, 0xc2c6496a, 0x6089df5f, 0xb0b381b5, 0xdada0c69, 0x9010ec6e, 0x117132f6, 0x7b627705,
+    0xb60aa6dd, 0xd1fc49fc, 0x58187596, 0x78ddc5f1, 0xcb89d459, 0xdfcf47d6, 0xca17e039, 0x955ede3f,
+    0x3a926738, 0x11252547, 0xf4075350, 0x6a43a8f0, 0x172d14ec, 0xa46ffd01, 0x4f9fecc4, 0xaff97895,
+    0x468de85a, 0x575a926e, 0xc0c75d6e, 0xa010e421, 0x67960f3c, 0xba021666, 0x13e41fc6, 0xf1c0f545,
+    0x69cee7cb, 0x598b830d, 0x0fdf82e0, 0x9a49bded, 0xe7f52fec, 0x7c40fe4c, 0xde31c58c, 0x2444dfef,
+    0xd8d0a639, 0xce0db283, 0x9b9eef1c, 0x8c6e7528, 0xc12437b2, 0xc096e81b, 0xf9008921, 0x8298e5e9,
+    0x1c518031, 0xd6c5907c, 0xcfbad3fa, 0x27702f9f, 0xd862598a, 0x12947286, 0x70b1ce7d, 0x30bc414e,
+    0xe23c60af, 0xeaaea671, 0xb1e8c19f, 0x3d026d91, 0xf4f40458, 0x88eff4bc, 0x0893e083, 0x2bda6f37,
+    0xdc5cb96f, 0x46010460, 0xe93d956a, 0xe1a5e43c, 0x973b83ef, 0xf140b474, 0x84f18317, 0x4a70cc90,
+    0x1dc0eb3e, 0x95c53047, 0xe8daeb7b, 0xd0e0d7a9, 0x2f06badc, 0x3d7966a1, 0x53b4ab4a, 0x8cd3dd93,
+    0x8c41076c, 0x747f9a31, 0xe3fb51bf, 0x558a5c1b, 0xb16193db, 0x4397fc72, 0x4440e299, 0xa19f9120,
+    0x4b3938b7, 0xabd1f7b6, 0x33da3444, 0x43202564, 0xb5d2e854, 0x99af6be9, 0x9ae5f0ea, 0x90e7b6b7,
+    0x87a17bf8, 0xcf9fb7a8, 0xd9e32e48, 0x66428e3a, 0x9460bce2, 0xaa98f6aa, 0x9b1005e1, 0x7339d78d,
+    0x3f275707, 0xd1fb30e6, 0xc92b8f0f, 0x0a06ddd1, 0xbd8dd1cd, 0x1698219b, 0xb4a085c2, 0x392a4c57,
+    0x724027fa, 0xbe03ed80, 0x435f29da, 0x323648e8, 0x7a565927, 0xa7bc89d9, 0x0eeb6e9b, 0x0f5dfe61,
+    0x33e401f1, 0x263902d4, 0x87aabcc1, 0x54d87b72, 0x582976ae, 0xcf19667f, 0xe83256f4, 0xfdbc9060,
+    0xbea9d8ad, 0x1e5ba4f8, 0x955e3570, 0xd4f86879, 0xbf75422d, 0x8d16b607, 0xb78cc4e8, 0x902d6dc6,
+    0x39397e23, 0x8b94c6ac, 0xfe61cc4d, 0x900d3ca2, 0x2c29557e, 0xaa15376d, 0x36e1e70a, 0x5e9565f8,
+    0x2c642fa4, 0x78dddf1c, 0x025ea55f, 0xf9224e60, 0x45b9212c, 0x9d3a77ce, 0x8f1ccee1, 0x939add25,
+    0x60c786fd, 0xc9bb3e12, 0x7cb5e3fa, 0xe7cad0b8, 0x616769a4, 0x14024d1a, 0xc28e6a40, 0xfd411a9d,
+    0x0020d14f, 0x33d079ba, 0x917cf541, 0xa2c0c980, 0x5f773acd, 0x1f59d30f, 0x2028b258, 0x85611917,
+    0x0ef9afc9, 0x67273134, 0x1d8e3499, 0xbf6a6e1d, 0xa78ba580, 0xbe10575c, 0xf64215de, 0xf91741f3,
+    0x0837c33f, 0x0a926975, 0x94d88990, 0x7c044794, 0x46a7f639, 0xc6a37c22, 0x0c317866, 0x9718c01b,
+    0x1cd1eed1, 0x4e959187, 0xcc6c15df, 0x7f4ee2ab, 0xa1734338, 0x5729a236, 0xc35a8ef9, 0x480ac997,
+    0xf7fe9107, 0xd88de3f4, 0x5a5e38c5, 0x8ee0ab63, 0xb44ed40d, 0x69673971, 0xe0b4df96, 0x1d57a932,
+    0xc947e6ff, 0xb59d2ad4, 0xca3b893e, 0x8f753ffe, 0x203dea40, 0x43744864, 0xd23b1731, 0x56f3a7d7,
+    0x612ce7b7, 0x2854d993, 0xf9dae11f, 0xde02dfef, 0x8bec4e50, 0x53e68ea6, 0xa05fb43c, 0x56658979,
+    0xeb018d7d, 0x4ebfac36, 0xddcc3cb4, 0x222a4e05, 0xe6f97854, 0x21f1e6bf, 0x6453f0d0, 0x815fb54f,
+    0xbb92cbe7, 0xf0102528, 0xf21f3b87, 0x3b315912, 0x0fb9fc2e, 0xd20c2a75, 0xe4a69a3c, 0xc2fafbae,
+    0x24600cc4, 0xc468f284, 0x338ea6aa, 0x945819e4, 0x4f94bab9, 0x33d32448, 0x286acfa9, 0x6cef0259,
+    0xbfec4e91, 0x8fcd28fc, 0xacbff804, 0xb4cf6d40, 0xdcbeaf6f, 0xa58bf8d0, 0xc207f44a, 0xb54d11a0,
+    0xd589c8f4, 0xd2fb6da5, 0xde33a4fb, 0x84103194, 0xba91cb22, 0x33d1e6ce, 0xb231457a, 0x3ecc19bd,
+    0xcfb03bf1, 0x05003a66, 0x28596d22, 0x1fa83de2, 0xf806614d, 0x475b12ac, 0x5ef79f2f, 0xda0a9e54,
+    0xe933291a, 0x7836d283, 0xe54ae5f9, 0xec3fdff5, 0x05e93a3e, 0xdcc491d4, 0x8df7989d, 0xffe95c31,
+    0x6120b126, 0x8bd395a7, 0x94c256e8, 0x093ee250, 0xf10789b3, 0x7101026d, 0x1e3db4b3, 0x2d093b83,
+    0x00000000 }, /* 10**00000000000000000000000000000000413159980493905374344947067520481899892752926\
+                         85267576205290549704650361952269459114074325652482205302974450751563959894016 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a,
+    0xbfc6f675, 0xa9d236d5, 0x90105cf0, 0xb3a0cca1, 0xfbd3baa3, 0xe747c497, 0xd56c75a1, 0x7ac286bc,
+    0x00000000,
+    0xdc94ceb9, 0xc9dd352a, 0xdda52d57, 0xd053095f, 0xbf1a2a77, 0x21dda31c, 0xd82b246d, 0xf3639156,
+    0x7896b43e, 0xf6f2fdb4, 0x6514a170, 0x726ba161, 0xdcbd860c, 0xa95e5116, 0x21156a91, 0x96fad2d7,
+    0x187d5558, 0x79ba1f78, 0x3271ee00, 0xf1900b24, 0xce9b3e07, 0x998bb248, 0xb2e332c2, 0xfc583569,
+    0xf8d8ab5c, 0x220c61de, 0xd7436f07, 0x1b872ef4, 0x5bce1254, 0xa4afd251, 0x14559d48, 0xe42553f0,
+    0x4f3eeaab, 0x3b701cea, 0x746110b8, 0xc54834d1, 0x6b3bed22, 0xa549061a, 0x77ce632d, 0x066381fd,
+    0x69cb06a5, 0xe18b19b9, 0x214eb10b, 0xdd1b3395, 0xbc0853c5, 0x665ba582, 0x277b83ce, 0x6d180c3d,
+    0xad91c9cd, 0x095fd379, 0xd82e9dec, 0x3580d676, 0xd6f40a9e, 0xfe0a4b9a, 0x40db630e, 0x28450a95,
+    0x205ba89e, 0x774f2311, 0x9e64c9e5, 0xcc0750b0, 0xf73a342c, 0x34ea36b0, 0x3e1c7159, 0xd7afe2c0,
+    0xc65118ab, 0x70ea41a3, 0x85c80c9a, 0xdd5a44af, 0xb30092cb, 0xa8fb74f0, 0x01f09b56, 0x3fdc412e,
+    0x74d103b9, 0x29ace5dd, 0x0feb53e0, 0xf8e3fb2e, 0x53a8febb, 0x83b0eaaf, 0xb41279fd, 0x0ac2a9ea,
+    0xb365cf8f, 0xb2cec70e, 0x4fa5c9e7, 0x351b2b07, 0x10115f7f, 0xf26403d1, 0xa667ec8a, 0x5d7419cd,
+    0x7c8a8c2b, 0x08b621a6, 0x6f1909e1, 0xe07d20fd, 0x10fcc0d2, 0x9b544368, 0xd1c60302, 0x3c015c6d,
+    0x6e051b96, 0x241e99ad, 0x5b2165e6, 0x7238e93b, 0x787a0c99, 0xe7c3a240, 0xfbb5dbc2, 0x37b3568f,
+    0x27ed3c8d, 0xc3ff5bfa, 0x0c96c751, 0xbd06e73d, 0x3df215be, 0x6d0e8bf2, 0x2798a842, 0x8740deb6,
+    0xee8c1320, 0x8cdeb2e7, 0xe25af303, 0x47fb0944, 0xa8042974, 0xbe2837ec, 0x2de2cd4a, 0xeac58fe0,
+    0x9aadd236, 0xdc96e0f5, 0x412f7aca, 0xbad154ca, 0xce41fba0, 0x708bf610, 0x6dbf831f, 0xb6f28afc,
+    0x5ced5774, 0x93568c73, 0x5bff956d, 0x5e6a774c, 0x67082c6f, 0xe1c05da1, 0x7e7b1450, 0xaad1080d,
+    0x32632814, 0x06f3176c, 0x20c71466, 0x7085cdc8, 0xc6ee959b, 0xfbda0771, 0x200ad453, 0x09c3cbcb,
+    0x22c886f7, 0xa1ca88a4, 0xf3a7aa64, 0x117053db, 0x3f581462, 0x1ceab1a3, 0x398b0080, 0x6d3a642b,
+    0x3e1f7ca5, 0xcd4c63fc, 0x59f50f7b, 0x17053678, 0x0cf9cd24, 0xdb4cc2c8, 0xebc5c00f, 0x1b03df79,
+    0xb8271a3a, 0x543615fb, 0x5d599084, 0xdbc8390c, 0xf47a26f1, 0x1c9c4aa2, 0x74028820, 0xd1029d84,
+    0x47420ed6, 0xdefea466, 0x19cdd847, 0xb16e46ad, 0x6888e42c, 0xe79024a7, 0x280b0a31, 0xc84a5711,
+    0xa53c85c7, 0xe7531a51, 0x4b635178, 0x1f927d8e, 0x89762487, 0xa6dde3ef, 0x6399c604, 0xe6d24a5c,
+    0xdd47f44b, 0x023ed976, 0xa96bb80c, 0xef162130, 0x214fac52, 0x22b8d4e8, 0xbbc690e4, 0xfa5858bf,
+    0x0aa34410, 0x7c12d93a, 0x96dc24d8, 0xf202645b, 0x9253039d, 0xeb3f290b, 0xe52e981a, 0x1624eee8,
+    0xb1ddec6b, 0x2650d964, 0x3aa2a6bb, 0xa6ee41ec, 0x94757356, 0x043b4d5f, 0xa00f233f, 0xea090a21,
+    0x8d89da70, 0x1000b3c4, 0x946e4cfa, 0x3fe2ab38, 0x63fcc4e7, 0x5ea48c13, 0x1cdd16ec, 0xa8bc2e30,
+    0x38c8ca2c, 0x48eec807, 0xc736ee7e, 0xa1d72dbe, 0x624774e6, 0x9a41921a, 0x5940ba99, 0x1cd08f97,
+    0xc8a266fa, 0x5f0ec790, 0x45558eac, 0xd06251b0, 0x4a889c22, 0x685884d4, 0x35f0f06b, 0x31f28fff,
+    0x96a1b4ef, 0x2c56f77f, 0x3cb5457f, 0xffa93241, 0xc957ec44, 0xad5a7694, 0xf3b2a904, 0xeacff4e1,
+    0x8d285ae9, 0x2bb9106d, 0x35b1d22e, 0xb6199083, 0xbd3f15d4, 0x401e3fb8, 0xf89a8d7d, 0x6a395de1,
+    0xe8acd7e1, 0x7a25f7e9, 0xe8f11dbf, 0x1eae8200, 0x6a81ba01, 0x7d7c0b97, 0xeb064ad7, 0xe60af78e,
+    0x57530050, 0x089e7dd1, 0xbd0e9986, 0x21755b72, 0xfb255bbd, 0xa76e98b9, 0xf2d06afa, 0xaf4909e4,
+    0x23ba17b4, 0xa55f8651, 0xafa7ec8b, 0x8b35e4ca, 0xc7742caf, 0x6f2a3f8a, 0x8dc3d690, 0x66aed90e,
+    0x44e94190, 0x2f3fb462, 0x469da200, 0x42b27761, 0x19695f2e, 0x79d0a848, 0x13de5823, 0x557e1b73,
+    0x4fe52046, 0x4545fa70, 0x1a5de271, 0x0dbc65bc, 0x9db821dd, 0x602f42ed, 0x7e5de537, 0xfc09af8a,
+    0x12d1401a, 0xec02a6d6, 0xb20ba4b5, 0x32a09946, 0x876f2431, 0xd96cdef1, 0xc9ce74c6, 0xe470476a,
+    0x0cc6f4a9, 0x09767dac, 0x25fcd46a, 0x93c05aa6, 0x59ccf4d2, 0x0b4d70c3, 0x79a4aaeb, 0x3138f0c0,
+    0xf35a528a, 0x375cf38c, 0xf8dd6791, 0x8a8cb9af, 0x895b700d, 0x59cf169a, 0x9049406e, 0xb519fe8d,
+    0xb52112fb, 0xd1d540aa, 0xd0e14760, 0xa8fb152a, 0x07582b3e, 0x3eb6a9f0, 0x178e6d52, 0x5e20d719,
+    0x82265e34, 0x944cac41, 0xdfc42b99, 0x3509face, 0x006307d1, 0x847e1949, 0xc8bbf62b, 0xe64ca1a8,
+    0x0556f3b9, 0x5c8340ce, 0x3bb4c0dc, 0x2fb94f28, 0xc5a7294d, 0x225c837d, 0x39c9e823, 0x8fb8a645,
+    0x0d965c5a, 0xefe7cf74, 0x9bd2c63d, 0xd03a12c6, 0x8fdc2b3d, 0x1e64b338, 0xd932c12e, 0x4df36410,
+    0xcb393dc3, 0xab79628b, 0x67fbc7b1, 0x6a3d2897, 0x3eb6671f, 0x6310a253, 0xc349b3f5, 0x749f5723,
+    0x8ebc122a, 0xff5aee9d, 0xcc35fb5a, 0x68c5eef9, 0xe5014734, 0x70ac902a, 0x19bead03, 0x36ba447e,
+    0x80085e1c, 0x19de0a4d, 0x454dbd1f, 0x492dfae4, 0xadcf1d2f, 0x4924d8a7, 0x6284d9ae, 0x3a574b6d,
+    0x1cc07b98, 0x8411401a, 0xceb51949, 0xc3475870, 0xab7da86d, 0xbcb435fa, 0x01517ea0, 0x8ad741b3,
+    0x49f4a9b9, 0x1fbb6a7c, 0xbcb0ea31, 0x1f394ea9, 0x560fc7a8, 0x012e2b26, 0xfe9cb7bb, 0xb9909ace,
+    0x9dd3cbb2, 0x0203006b, 0xff00aff9, 0xd0b55ef2, 0x2d5749a3, 0xee476ced, 0x9b2158b9, 0xe2cd9508,
+    0x1061102e, 0x4e5897fd, 0xdde13cbd, 0xa5c63da5, 0xa6d0e586, 0x17258835, 0xf849fa95, 0x26bcac72,
+    0x28165768, 0x8746d470, 0x8490f2fd, 0x8198503b, 0xf41a3175, 0x8d1328b4, 0x60073584, 0x9abbd36e,
+    0xd2bdc6bd, 0x1eac4476, 0x633fcab8, 0xad4fc53f, 0x4dd4a549, 0x7ceb9600, 0x25dd5ed6, 0xedb35979,
+    0x073b5997, 0xf2f8836d, 0x9e8739c4, 0xb1f701e1, 0xbb628650, 0x8acbb356, 0x64542cf8, 0xe18a8dff,
+    0xf45703bd, 0x2687a46f, 0x8f27670c, 0x6965e80a, 0x2a9c039e, 0x0a4799ac, 0x9a3719a2, 0x5ddf7c35,
+    0xc1071169, 0xa0774271, 0x4c97f83d, 0x94810f48, 0x126f545a, 0x249e1747, 0xa752f3e3, 0xdd8bccc0,
+    0x67354d2c, 0xab3753de, 0xfffc8c08, 0xe7284f62, 0xec380276, 0x847629f9, 0xa9366075, 0x65d8bee9,
+    0x547f83c7, 0x4b2a4d6a, 0x7364d679, 0xd7db052c, 0x38001577, 0xe9a4988b, 0x7391e565, 0x92f82c5d,
+    0xa87f0ddf, 0xab65288d, 0x8cb277e0, 0xb24e207d, 0x60fe6f78, 0xfc78d825, 0x422d7c87, 0xbe0ddc54,
+    0xbe7fb84f, 0x78a065a0, 0x79eeba00, 0x4259df08, 0xc2b00bc6, 0x1bbea339, 0xd352dd0d, 0x47f8cbdc,
+    0x805221cc, 0xcec5a1e2, 0xeb3aa2ca, 0x9412d458, 0x0e8d8e42, 0x7e670a99, 0x1e6f0190, 0x529efdd3,
+    0xc41c2587, 0xbb1f3776, 0xe08a8dd7, 0x6ff142d8, 0x6a4a1014, 0xa970df7e, 0x882f9a51, 0x92952080,
+    0xc1d38ca5, 0x8367d5c8, 0x73862e69, 0xbdc28e04, 0x384e6235, 0x51ec3490, 0xf671a5f1, 0xc102452a,
+    0xdb6d7e76, 0xd231672d, 0xf71a1b77, 0x69a793d7, 0x5f61f36b, 0x7aeabe49, 0x0704534e, 0x726f5151,
+    0xf0c2c09a, 0x68f6c0c6, 0xddcb9ba0, 0xeba30b0d, 0x0322c2a5, 0x0cb29840, 0xf6c5752c, 0x4204977b,
+    0x4bb8a2ac, 0x20f3d2f9, 0xd45c5867, 0x230c516d, 0xb249a44b, 0x59d2db6d, 0x7f3edbfb, 0x3bdc437d,
+    0x27698ba8, 0x45ea6b64, 0xfde5045a, 0x041e3b8d, 0x8611a7c8, 0x35bdafdc, 0xfb4f35f2, 0x3be4dc25,
+    0x972cab4b, 0xc056abed, 0xe0f36dfe, 0x41c8bb88, 0xfa1b9609, 0xeb1a0a3a, 0x6f531723, 0xe64c25fc,
+    0x381f8914, 0x94965a18, 0x01964826, 0x75f3e47b, 0xb568adab, 0xfae6a0e4, 0x12ef65c3, 0xefa7b13f,
+    0xd7634028, 0x44a08f27, 0xd5a44d1d, 0x982d8175, 0x166aaf46, 0xfee74ad7, 0xa6995967, 0xe15bcae7,
+    0x06edf612, 0x285fcde9, 0xfb2a6184, 0x81764d7a, 0xef73a94e, 0x6e64c399, 0xdd972222, 0x831a2233,
+    0x54b4ebf8, 0xd28c2bb7, 0x8db29622, 0x12ef5668, 0xd58b4519, 0x0471edb1, 0x1004cd26, 0x13c188ce,
+    0x9a8af99c, 0x83d0d0fa, 0x0ae19f49, 0xbbc0e930, 0x54ca00c1, 0x83fee690, 0xce6a7486, 0x0988fa00,
+    0x09fd9163, 0xe2292a36, 0x0b04db4d, 0xaee5dbf4, 0xfcc3d3f0, 0x69907d94, 0x8b60e4e0, 0x58254a01,
+    0xd8afb201, 0x75d43867, 0x2c3d754c, 0xc491bb9c, 0xc22f3a54, 0xf89bc563, 0xb60adb2d, 0x60f012ba,
+    0x52206855, 0x283f88d8, 0xe4fadc54, 0x08b9c592, 0x625f79b3, 0xa1a64e8d, 0x2f804db5, 0x2572c107,
+    0xd0c6a95d, 0x32feeb15, 0x9f18dae3, 0xd5b72bf1, 0x052048dd, 0x17a358ea, 0xc54586d3, 0x094bcb2f,
+    0xf9a864e2, 0xdf2309ae, 0x17bbc62d, 0x81c6f162, 0xd637edb1, 0x977d5605, 0x2b76b9b3, 0xc39a0aa7,
+    0x8d3c1107, 0x28795040, 0x8130c54f, 0xb969755f, 0x0def332c, 0x31e027d9, 0x6b9e8b3f, 0xa1a546ea,
+    0x517bbbac, 0xcd21c595, 0xe0e45625, 0xaa20164b, 0xbb548042, 0x1654dd1d, 0xd2136ca2, 0x5ade5b61,
+    0xcb0d1be3, 0x38012f94, 0xaddf7777, 0x1aff20fc, 0x87d2fe8c, 0xb06aab1f, 0x1024f4d5, 0xd915f27f,
+    0x8e718b3f, 0xc88a66ee, 0x4900f5d2, 0x28a5d305, 0x10d213b5, 0x15070015, 0x9fa0763a, 0xb0f3953e,
+    0x5f4dc27f, 0x59605f2f, 0x2c7d3168, 0x76952a25, 0xbc9d60a4, 0xcd1c485e, 0x7f6c101c, 0x2c285922,
+    0xcdfd0318, 0xe55efebe, 0x1bc62093, 0xf3b5816e, 0xbaa97165, 0x1d4acaea, 0x00fb6165, 0x0aab97f4,
+    0x8a68422d, 0x76483b0f, 0x25fd81cb, 0x7ac6d807, 0x610593a2, 0xeddc4e70, 0xd2b9e83a, 0x47f8dea0,
+    0xa09f9fb8, 0xe6b93161, 0x89325928, 0x1145934a, 0x87b8fd67, 0x4723a868, 0xfc7f6424, 0x88da3bd0,
+    0xf780023b, 0x0fa3a0fd, 0x9b4867b8, 0xd252afa3, 0x926314f6, 0x9c081460, 0xfe011d8f, 0xd4b9de79,
+    0x0dc0e9f6, 0x2ce0e239, 0x5f41b9e2, 0x0c96c4c0, 0x2cf2c0f1, 0x42528ebd, 0x2e529e6a, 0x83a8a166,
+    0xd4ad1e57, 0x2bfb616b, 0x501f700d, 0xe3a160c2, 0x208693f8, 0xa21d04b7, 0x4cdde76e, 0x4e2d7317,
+    0x237615f5, 0xafde83af, 0x9cfdd5b7, 0x1e0cd5e0, 0xb2f4fa63, 0xac74d113, 0xb4562982, 0x7f72b1db,
+    0x09573a43, 0x2049e12c, 0x45bb7643, 0x156fe9a3, 0x82eba403, 0xb660bdc1, 0x9eb3e1a0, 0xedea7a52,
+    0x3b6ddad0, 0xa6d6445c, 0xdc1371af, 0xcc4a8191, 0x0d9c4b5d, 0x56a8b76c, 0x532e073d, 0x3eb2fb0d,
+    0xdf1953c0, 0x056ea0ff, 0x7b839e9a, 0xa5bef20f, 0xb3e3b432, 0xccd64116, 0x1ac514be, 0x406fbf6d,
+    0x34502568, 0xfaf0477e, 0x7f08da92, 0xca2b3fb6, 0x06a4642d, 0x11a53ad3, 0xa27d76a0, 0xe5d7faf4,
+    0xc1ad57f4, 0xf1ca064f, 0xa30a006b, 0x87e0779a, 0x576f3d44, 0xfdc46d29, 0x2ca1ef18, 0xd6a1655a,
+    0xf5f7ff9b, 0x27f32dd1, 0x629b386a, 0x88718b24, 0x41f03c57, 0x7d6bd24f, 0x8cabd788, 0xbd76cafd,
+    0x16cbc3fe, 0x2cf34af7, 0x28500ac1, 0xb297a1f9, 0x28b95d8c, 0x6fcf732e, 0x6a6d7d35, 0xf5241559,
+    0xf44efc2a, 0x4b16d0b4, 0xf7a8fa15, 0xb853d215, 0xc88265a3, 0x1d38e2e2, 0xdf798e66, 0xa6d490bc,
+    0x263c3645, 0x2682304d, 0xe9f7567d, 0xf50c655d, 0x1ac7b070, 0x5f64cc17, 0x0120178a, 0xd9ac044e,
+    0x24827e07, 0xa8aa298d, 0x18e406a1, 0xa3a24366, 0x1bf15763, 0x7e1ad120, 0xfc0f8956, 0x08c76c2b,
+    0xa8739c83, 0x52c9c7e0, 0x43be5733, 0x61134162, 0x0fd4f219, 0xd40f28a5, 0x3dda2cfe, 0x46c7f8a3,
+    0xfcc1ceb0, 0xdc8c644b, 0xe5c71a11, 0x8ddaadd7, 0x9a2aeb75, 0x2f5c05ac, 0xbdab985d, 0xa08aba74,
+    0xe7a403e1, 0x2b8b23ec, 0x4ae96256, 0xd0244420, 0x77cdffbd, 0x8355653b, 0xc01bc95d, 0x859b2c80,
+    0xb4c2c4bb, 0x8e1236a2, 0xf141b52d, 0x34e2cc12, 0x17440412, 0xde08e46a, 0x78786ffb, 0xea743ab3,
+    0x58681aca, 0x717da778, 0xbf631ea0, 0xf8fea17a, 0x1a34d21f, 0x0efae415, 0x43d88083, 0xe1695d25,
+    0x13629587, 0x53ed0e7c, 0xf6c8fa0c, 0xf4ce2ff0, 0x274a5b02, 0xba145dc9, 0x7bb108c4, 0x26c821a6,
+    0xb570f4be, 0x406c929f, 0xe9a97ec7, 0xbdbe3ac5, 0xa579407e, 0xc6c6759a, 0xc821e7a9, 0xddb4b97b,
+    0xbfc5b6df, 0xc9c9f5b8, 0x397d9617, 0x01315f33, 0xbd433099, 0x64d8aeb9, 0x5c2479f5, 0x31a73a11,
+    0x729a3c71, 0x281673f9, 0x71a0550c, 0xb27a4860, 0xdd583cf1, 0x6506815c, 0x47c7dd65, 0x3561755f,
+    0x1edd317a, 0xabd4616c, 0xc723a0ec, 0x83ce90eb, 0x38742e1c, 0xc9596150, 0x66711ee8, 0x54040bdf,
+    0x082e9f3b, 0xebb1ae10, 0x1f3ada29, 0x5b99210d, 0xba1c74af, 0x6e276278, 0xcb42e1d0, 0xdc5ce7fa,
+    0xfa8a7bc7, 0x75e2644a, 0x297f271a, 0x26207793, 0x9a843aa0, 0x3ff443c7, 0xd5c2f15e, 0x304f3355,
+    0x3057c6d3, 0x3a1636c2, 0x28cc0051, 0x835b1a38, 0x4d5fa4f6, 0x0af8e827, 0xa165249f, 0x9caa3349,
+    0xbc4b75bf, 0x234436ea, 0x913f6846, 0xc113f1b2, 0x82ea1a6d, 0x87a3b6ef, 0xa2ab29c6, 0xe6f45e37,
+    0x420cd730, 0xb7ea0062, 0x9ec8696d, 0x010a94d1, 0xb78ecd10, 0xaf2032b1, 0x7311600e, 0xdc5286d2,
+    0xddc754c6, 0x097f29cf, 0xf2fe9fe5, 0x030fa5d0, 0x4f69b427, 0x9cda41e7, 0x47461b47, 0x29caefc9,
+    0xf8859947, 0xa80d64da, 0x59637c84, 0x370c122d, 0xfeb40347, 0x7fe12e3b, 0x5fb7ea9f, 0x64593cbf,
+    0xcc370678, 0x77a594d7, 0x53bbad60, 0x4328cd2f, 0xf00367f7, 0x9588e7b6, 0xbab91261, 0xdf09cc33,
+    0x169ec9ad, 0x4e0845df, 0x1523d1f1, 0xdaeae0dd, 0xe3e77d54, 0x549cfa7c, 0xac8f39f0, 0xb7a9348f,
+    0x5032825e, 0x037d513f, 0xafc33cb9, 0x5585b4e9, 0x8a118a20, 0xc7e5c309, 0xb7f11ef6, 0x0f6f2b7e,
+    0x2c5b04db, 0x66619a7e, 0x4545d090, 0xebe78078, 0x50959715, 0xa472a55f, 0x67490718, 0xc3e0e2e1,
+    0x20733489, 0xe68d9656, 0xb2316add, 0x069bd12b, 0xab4f996d, 0x0c9c4f49, 0xcce33186, 0xb5a4fd07,
+    0x5f12fbae, 0xff4df916, 0x7deae2aa, 0xa5cd943c, 0xef07e9d2, 0xa36b03dc, 0x984d88a0, 0x0879e4d8,
+    0xa731006d, 0x05ddc1c1, 0x1ee6aa90, 0xb6dc09fd, 0x9e9b7074, 0xe94a66b1, 0xfff460a5, 0xeb774ebf,
+    0x8ebe3737, 0x25666f56, 0xfa1c32a0, 0x4ed15e48, 0x60c71d3c, 0xb7ace25e, 0xc57acf78, 0x1754ed68,
+    0xcc7fee94, 0x9824aa22, 0x66d3ec12, 0x6a9c1d99, 0x45c51edf, 0x9b812dcf, 0x0ecfacd6, 0x4686d050,
+    0x84e42482, 0x4380b51f, 0xc62c7bae, 0x910d7db2, 0x2d8a00b4, 0x3920f47d, 0x8fe3fa05, 0x3d787988,
+    0x00000000 }, /* 10**00000000000000000000000000000000206579990246952687172473533760240949946376463\
+                         42633788102645274852325180976134729557037162826241102651487225375781979947008 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5,
+    0x5fe37b3a, 0xd4e91b6a, 0xc8082e78, 0x59d06650, 0xfde9dd51, 0xf3a3e24b, 0xeab63ad0, 0xbd61435d,
+    0x00000000,
+    0xeda1b4b3, 0xd92a7a0f, 0x39e8e19a, 0x2f944805, 0xdfcf4212, 0xc3df0a8b, 0x29737c72, 0xfcd7c86c,
+    0xce08340c, 0xc72b9bb0, 0xd9beba1d, 0x472604ff, 0x13c843fb, 0xed538915, 0x8d02f1bb, 0x0bef7583,
+    0x223745e5, 0x0cd93fb7, 0x8cc44f6e, 0x7870df20, 0xda8fed1b, 0xba562923, 0xb1557c25, 0x2d79582b,
+    0xe0bf9758, 0x743eb647, 0xaaa56c80, 0xeea65315, 0x64ec505d, 0xc7e54eed, 0xa9be7581, 0x4de40ce0,
+    0xff6da898, 0xa060b6d0, 0x923a7138, 0x8317a063, 0xab8d5aa1, 0xdf3cd2df, 0x282a72dd, 0xa738a277,
+    0x302a876d, 0x2ed6df80, 0xb551c0ad, 0x5c3d92f6, 0x2ef19740, 0x5873c808, 0xd2db2731, 0xe071a61d,
+    0x44d8b35d, 0x4002ac1a, 0x4fdd7b75, 0xc9856f44, 0xdb98cd44, 0xa6113e84, 0x5b4c85f6, 0x8de9255c,
+    0x9e760f5c, 0xf22219bc, 0x2ab074b2, 0x5939ff73, 0xab8dc39c, 0xd83db4fc, 0x1ed06f11, 0xdf848d89,
+    0x6f1201ff, 0xc0bfa597, 0xd223f4cd, 0xd7ab71fb, 0xd7b86f44, 0xc17b58df, 0x4586e6a8, 0x95f695fd,
+    0x77118dfa, 0x3815d39f, 0x4a8097ed, 0xf31301b9, 0xe45226a6, 0x810f6355, 0x15db7cf6, 0x71ff3126,
+    0xbecf4682, 0x1e442619, 0xb773f8aa, 0x77372820, 0xdd1b2436, 0x1119bb5d, 0xa0803b77, 0x550293f5,
+    0x7e1fc83e, 0x113d0eac, 0x2dc9ae96, 0x73d23e86, 0xa7733cd8, 0xec6213da, 0xdd2f4acf, 0xa1c30815,
+    0x3802b122, 0xed48b800, 0xf75f1f00, 0x71503eb2, 0x110d2e17, 0xf81f9b20, 0x3373f416, 0x04d13ef8,
+    0x8a2a6e8a, 0x782f756b, 0xf64cea5d, 0x471cfe9a, 0x7e3dd4d6, 0xaa1dae29, 0xbca5c10b, 0x46e5340b,
+    0x86c00195, 0x301bc6fe, 0xdfe1b9b0, 0x50244867, 0xec4738f4, 0xc23161bb, 0x2057b0ac, 0x78d18657,
+    0x81c8ae9b, 0x47a84336, 0xc0de40d2, 0xc17f1bf8, 0xfba9b0b2, 0xdfebdb63, 0x705a65dc, 0x8e853cc4,
+    0x941ef9e7, 0x95406e4b, 0xb6d4d66a, 0x545e508d, 0x851c4755, 0xff206fdd, 0x309aacb7, 0x2a3b5b80,
+    0x8c8485a0, 0x4afccab2, 0x464ad109, 0x785c5bce, 0x1dfa2282, 0x8eeb2af6, 0xa45b0160, 0x4ec9f3a9,
+    0x2c52b37d, 0xd3e0be4f, 0xe194df2f, 0x3646c841, 0x5eae9f63, 0x87609625, 0xcb0510bc, 0xed7222f0,
+    0xd869ec5e, 0x3e064897, 0x279a4946, 0xbf5962a9, 0xa5f6a6ac, 0x331254fd, 0x57877c9e, 0x99e57154,
+    0x1ca03560, 0xcd3af3b5, 0x27aa68f4, 0xbc85457d, 0x94ad91fb, 0x90551669, 0x1f0bef94, 0x41b58316,
+    0x45a13c98, 0xa00854be, 0x050dd60d, 0x928221fb, 0x5ae4f326, 0xcfd00f90, 0xfc2a83ce, 0x7ffbe099,
+    0xcfe2b28b, 0x1b74a5f6, 0x54ae00a4, 0xc3f22757, 0x58f54b11, 0xb6ce9fe0, 0x73972ce5, 0xdd6b2594,
+    0x071388b5, 0x2dd963cb, 0x5779fd1c, 0x42b0dc0b, 0x065d7f2a, 0x4f94380c, 0x3ddeffcd, 0xa546612a,
+    0x83adc32d, 0x0e6e397c, 0x63439c95, 0xd3b9c052, 0x35731ad5, 0xfdd64ca6, 0xea783be4, 0xfa2f94f6,
+    0x1b06dbdd, 0x2badb1b5, 0x9f75133e, 0x2284695c, 0x4efd5996, 0xd323cf94, 0x00c851cf, 0xd87c02ab,
+    0x0dad7d50, 0x6da89002, 0x7d633b5b, 0x89d7abaf, 0x7a490586, 0x73b97a88, 0x09c920d5, 0x91abe7ae,
+    0xff243d69, 0xd7f9414c, 0x7be4b219, 0xb2cc491c, 0x7ad4aa69, 0x52abb983, 0x138073f6, 0xf53ed9cc,
+    0xe944b4a4, 0x384d7aa4, 0xfb2ade5b, 0xa7ec0a06, 0x82e542c9, 0x33f4a14d, 0xfa735683, 0x646936f5,
+    0x8d125d59, 0x1ddf4deb, 0x9ff3f7d9, 0x9ec473e8, 0x088bb289, 0xdd00fb97, 0x6033a17e, 0x000aee8c,
+    0x3b3c3e25, 0x6a0f1fb0, 0x1af98eef, 0x594b5e13, 0xf629614a, 0x33a0e977, 0x663454fe, 0xefd376fc,
+    0x75294a7b, 0x3600773a, 0x7f262558, 0xbb16fc9c, 0x3bab989b, 0x4bc25315, 0x1e6ecc6f, 0xb514abf1,
+    0x7a478044, 0x93c65611, 0xd13823fd, 0xb5cc0b0b, 0xb33e4352, 0x264b1221, 0xe819057c, 0x24168865,
+    0x5b9364be, 0x122fc897, 0xb58f92f5, 0x88463cc0, 0x68f029be, 0x70ea141e, 0xb9c12832, 0x6c10d3b9,
+    0xc0de32a9, 0x30a7f784, 0x85b885bc, 0x3095a83c, 0x7fb1f988, 0xaae84178, 0x6065aaf8, 0x04238374,
+    0x104fff47, 0x405e7d66, 0xcdd87249, 0x5c111408, 0xfe54b642, 0x651cb155, 0xcf176065, 0x3c264e38,
+    0x60c2c9bb, 0xf80ff6aa, 0xa8946c59, 0x2c348843, 0xc418ea38, 0x1b08553f, 0xa71c09ca, 0x98c1fa58,
+    0x73aaecda, 0x83445552, 0xe4f05a9d, 0x9948a906, 0x99e6dc5a, 0xfdf7cba6, 0xd2606d8d, 0x5ddf810b,
+    0x62a7cabf, 0xa8e90918, 0x01bc0dd1, 0x5c30cdd7, 0x7ba883d4, 0x27fd9dd5, 0x439a75ed, 0xc8811e6c,
+    0x95e7fc3a, 0x72034bfa, 0x8320bfa0, 0x4515a24c, 0x5248b57a, 0x225db8b6, 0xba8eb0c9, 0x96a79e39,
+    0x8e66e098, 0x3a5a5243, 0x8da89595, 0x8bc3e635, 0xc4eed4fd, 0xec882ede, 0xf5116809, 0xfd896481,
+    0x8ea1b389, 0x2b2702c0, 0x8ca6054f, 0x0b7900cf, 0xf3dc7375, 0xa9f7dd9b, 0x7666ad14, 0x5e26c65d,
+    0xa8088358, 0xc5faf91e, 0xba8e0475, 0x8e57abe0, 0xe1903bc0, 0x1d2979f4, 0x5838f85d, 0xea709773,
+    0x54a2dbe7, 0xda5662d9, 0x453b6e94, 0x25596f96, 0x43a390a0, 0xe3ab7c0f, 0xde98b437, 0x2e434b69,
+    0xa33e2097, 0xff4b3190, 0xd2f38704, 0x23ec93ef, 0xdfe3a1c4, 0x301c3e02, 0x803aeafd, 0x5bdc27e2,
+    0xaba09f16, 0xba9d739e, 0x29a48c17, 0x2e3c9fc6, 0x03cef1da, 0xec6e62ad, 0xd791bab4, 0x3d7a1482,
+    0x62fbea60, 0x3ffc0d85, 0xefacb81f, 0x076f6293, 0xee2c0931, 0xb32e7c3c, 0x01dd1a4a, 0xd4a23198,
+    0x88cc5e5e, 0xb5bb11e3, 0xed22d53d, 0x372333b3, 0x12e4aa9a, 0x0e3ef20c, 0xe99b8837, 0xbc5add4a,
+    0x93d7a93d, 0xaf02e09a, 0x3b63e95c, 0xab57733b, 0xd600d36d, 0xafa54189, 0x7f624181, 0x5117b7a3,
+    0x97a57841, 0x284ceb9b, 0x42bca9da, 0xa7197728, 0xf2d6b49c, 0x1c2618f1, 0x5dd1a0c9, 0x9dc339c1,
+    0xbf607faf, 0x7505442a, 0x5c157900, 0xdace29c4, 0x2d5d49e6, 0x2a008b9f, 0x177aa550, 0x7aabebda,
+    0x1452e7b7, 0x79d13a4a, 0x6e493a71, 0x7de8b80f, 0x8f0fc6f6, 0x53bdba24, 0x2db47d74, 0x82f99acf,
+    0x56f43b85, 0x859fd79a, 0xd0596afd, 0xc240b2ae, 0x04ef4d78, 0x1c5ad552, 0xebd2f89b, 0xfb674561,
+    0x00188c3d, 0xef611b85, 0x88ab0f5d, 0xe82a9c24, 0x4c9c5616, 0x10769af8, 0x5e795f65, 0x7ca2a0a5,
+    0xd513ed94, 0xe7bd614a, 0xf403fc7a, 0x48a5dc6a, 0xf0f79c23, 0xe0d76efd, 0x9ca4c930, 0x9813cf1e,
+    0x05114ae6, 0x02d3bde6, 0xd9186b8c, 0xe5cadb4c, 0xa2116acd, 0x95186f45, 0x33285a78, 0x5ed023cd,
+    0x6844727f, 0xbda16ebf, 0x6d0e6a73, 0xeb0c9dc1, 0x2a6c3048, 0x0d4df690, 0x9e927cf0, 0xd174b4d9,
+    0xc44fdd8b, 0x3dc08fc3, 0xeeb47c15, 0xf7ac5f1f, 0xc66e2971, 0xd3e1843a, 0xbdf838ba, 0x8819e092,
+    0x6ac9f7bb, 0x465cc852, 0xaf1295bc, 0x8b536671, 0x5e796795, 0x51380d2c, 0x403ed33e, 0x6efa16f7,
+    0x1bdebb5e, 0x6b93fc60, 0xf40e8b05, 0x574560ee, 0x5e8f34ca, 0xdb7de887, 0xc8339f5d, 0x02962528,
+    0x4ef044e5, 0x911ce857, 0x2fdabef0, 0xbe7724af, 0xcca8f688, 0x6711df53, 0x4207f372, 0x75d41d05,
+    0x441ceac0, 0x2872b7d3, 0xa11809b5, 0x46998bd4, 0xa21053aa, 0xe25aa3ff, 0xb6d9c49b, 0x71c34756,
+    0xc259c5ee, 0x925401af, 0xb8d90a97, 0xb0625491, 0x57f686ef, 0x011a5652, 0x81e291e8, 0x43bed7cf,
+    0x443a24f0, 0xffbd5659, 0x9c7f9e3c, 0xc1d13077, 0x91a8ba7f, 0xe6447475, 0x2b8db13c, 0xf471d387,
+    0x39644edb, 0x08af5529, 0xd603dc28, 0xedf70be4, 0x126d4a77, 0x8f87bc4b, 0x6decc1cf, 0x2d121f0d,
+    0x972a0a1c, 0x3d46c10a, 0x54b1177d, 0xf099953c, 0xb7fd49ff, 0xa3a6ad76, 0x827976b6, 0x2e42eb1b,
+    0x9e5afde6, 0x5f328f36, 0x94177f78, 0xf8c6756f, 0x6392e5ca, 0xd71dbf54, 0xfdcac4f8, 0xe6bea6bd,
+    0x207ffac4, 0xd9b74f8d, 0x14f34eb1, 0xddea420c, 0x99e7596d, 0x0e114b16, 0x5d2b8722, 0x9642f277,
+    0xac58e8a8, 0x7062ed0b, 0xa7fe7a59, 0xd0067d0b, 0xaa2c8a05, 0xd3d7dc28, 0xb335ce9b, 0x42373a2a,
+    0xb8c14e54, 0xc119ff0f, 0x2317f96b, 0x9ee65ed6, 0xc08fada2, 0xa7b6165b, 0xe357054a, 0x243c27ad,
+    0xa1351aa3, 0xd284555f, 0xf5c2a277, 0x15692115, 0x5ae71aaf, 0xcbe085f0, 0xf0dbfbae, 0x1253c5a6,
+    0xc46736b2, 0x56aa0761, 0x056f6ce9, 0x156fed65, 0x3244aa30, 0xbc6bc559, 0x7cf088d1, 0x869bfcdc,
+    0xbf7d5157, 0xe9017979, 0x60323c38, 0x8b292443, 0x6a03af45, 0x04700b9f, 0x28fd5ea5, 0xf4fda1f9,
+    0x1c93da4a, 0x0f545977, 0x19854d44, 0x0a88afa6, 0xbe1017fe, 0x886ce790, 0x564ef854, 0x8ed5b37b,
+    0x15d71fba, 0x15c12e52, 0x1589e186, 0x4cd2f1ff, 0x1af5877b, 0xee51cc9c, 0x1ee09d77, 0xc48062ae,
+    0x62e7fef6, 0xb0f02de9, 0x1be04542, 0xf0d59a1b, 0xfcf60ef7, 0x43b9be1f, 0xbf3a3dc1, 0xd3efc1ce,
+    0x70429f85, 0xd45f2d7d, 0xc38c04ab, 0x9498fc72, 0x9aca4337, 0xb9760c5a, 0x44728420, 0x389ffad5,
+    0x1481d89c, 0x4d89e3de, 0xfe4544f8, 0x85a9d155, 0xc42a63d7, 0xa7470bfb, 0xc34bd052, 0x36d9d000,
+    0x8ede3aa2, 0x35aaede9, 0xbcc3901c, 0x60699f49, 0xc607d981, 0x915ed7ef, 0x4cfe091f, 0xe17a1afb,
+    0x550e9159, 0x40a87a8a, 0x06180d92, 0x08b9abf0, 0x8dd204e9, 0x3d6ee4c4, 0x6df15bfe, 0x08d7d9dc,
+    0x7c0aa50d, 0x94d184b2, 0x3fb0b574, 0x428964a4, 0xdf573635, 0x158515f2, 0x3e8a1b7d, 0x49d0edcb,
+    0xc2651fa2, 0x9eb35a55, 0x64e1faee, 0x17981d1e, 0xd55020ae, 0x5ee95e5b, 0x20885c76, 0x6494177e,
+    0x7ef4af3f, 0x9b2526de, 0xb615619b, 0xecdcf9e6, 0xe24d44a9, 0x222488b0, 0x903f1044, 0xf241accb,
+    0x236d4240, 0x7a90fa78, 0x21715d30, 0x794640c7, 0x9d7bc937, 0x08763fa5, 0x73b6d825, 0xb78f6945,
+    0x77a2e841, 0x0995f84e, 0x7b282c56, 0x66ef289c, 0x944df316, 0x5a478968, 0xef6b2877, 0x0ee4c601,
+    0xb8f4a97c, 0xf3a635da, 0xa9d1e227, 0x69080738, 0x1a85338d, 0xeba04bcb, 0xe1e99087, 0xd526e8f3,
+    0x9fb9b48c, 0x1989da2b, 0xe7735023, 0xc12b7058, 0x1a544aab, 0x2ce8b787, 0xd3569d80, 0x00a9d981,
+    0xfd0d40a1, 0xf17f91ab, 0x1e77a455, 0x7c3bb82f, 0x95b1c138, 0x3a0a6c84, 0x7234c17e, 0x7cbdea0e,
+    0x4e1565ce, 0xbbb16963, 0x26b9bbb3, 0xa6af719e, 0x8d2d9355, 0xd6398741, 0x20624c42, 0xcb79c9ae,
+    0xefa0bf61, 0xf579ab8f, 0x79523e3e, 0x0168bc7d, 0xdaeebf44, 0x439012ab, 0x5d87c127, 0xcfd87e00,
+    0x7d1cb647, 0x48fd7f4e, 0x5c1da78f, 0x1c912d00, 0xbe9797bf, 0x990c28b2, 0x50d4d4e3, 0xb880264b,
+    0x065dfc93, 0x3032bbc0, 0x3268e447, 0x1cc89c3d, 0xa6c145c8, 0xfaa5f13d, 0xbfe50f91, 0x38adbc00,
+    0x325c5149, 0xf07d0d3f, 0x6adebed4, 0x6e60777c, 0xa5400037, 0x42ad94bc, 0xf9676e17, 0x62e00cb2,
+    0x9d086003, 0xdc15a50b, 0xadf8d2e8, 0x1b130e10, 0xa4c88c35, 0x3ba87a60, 0x2105420c, 0xbfd01bab,
+    0x4ab5f2ec, 0xc1cafebd, 0x37b29242, 0x98a511b1, 0xb8ec0581, 0x71dcc6df, 0x03ed8b93, 0x6902e462,
+    0x53a69800, 0x3e8824a0, 0xefefe19d, 0x93d5044a, 0xdda75ace, 0x14f2f0a3, 0x964f9f94, 0xd9b19866,
+    0x19678e31, 0xf39e8a8e, 0x44bd4ba0, 0x547bdb7e, 0x1e8a7e17, 0x2591bc4c, 0xbc162e5c, 0xbe926325,
+    0x01c5cc18, 0x2989d0cb, 0x658da112, 0xc1c4ded2, 0x6b9e8f30, 0xf3122710, 0xef6d1964, 0x14517351,
+    0xd672869e, 0x133669fd, 0xcd6c04f6, 0x7cd71833, 0xa2d31aed, 0xf7417472, 0x1b4084fc, 0x9127f8ad,
+    0x110e0e1a, 0xe52f9b7f, 0x9717f5c2, 0x4959fa9c, 0x73133f53, 0xb5d50119, 0x4609686f, 0xe5eb373d,
+    0x77b8dd3f, 0x0a6b73aa, 0x9c77da2e, 0xc71b4fc2, 0xf3d01de4, 0xa5df8f73, 0x38f2c3c0, 0x6eac1b48,
+    0x9903671d, 0x4e2ee2aa, 0xf3e67c75, 0x7e1ec58d, 0xa15deff8, 0x8365b3a2, 0xcb0adf3e, 0x1ade5c4c,
+    0xf5ee90b3, 0x78b021a8, 0x89a595fd, 0xfe7795a2, 0x79146317, 0x1985609a, 0x4ce3fe0a, 0x9eedc48e,
+    0xe2af7ecd, 0x28388213, 0xac696551, 0x5e9285b6, 0x0032275b, 0x17942267, 0x0158227e, 0x018b3da2,
+    0xb3c2968c, 0x2b4465fc, 0x2eb6504a, 0x9aa73bc2, 0x88e9e0ef, 0x1c4dcd37, 0xfa133b11, 0x88abb36e,
+    0x85e95524, 0x812129b6, 0x1b97385b, 0x5aa816a8, 0x17f308f3, 0x96bff041, 0xe4843f04, 0x05f74358,
+    0x248f9893, 0xb1f5bb4e, 0x31aa0117, 0x3fb7a719, 0xfec4c173, 0x9a92f864, 0xdd7f3102, 0xc20a4f2b,
+    0x7ac007a2, 0xa812da30, 0x3fada949, 0xf70825aa, 0xb733d461, 0xcfe9c9ae, 0xd2eef28d, 0x216f0620,
+    0x371c8a99, 0x160b4820, 0xe172a273, 0x1fa5027f, 0xc5946fae, 0xd639f458, 0x9c48cc33, 0x28b5018e,
+    0x2c4f8aa8, 0xed0c30bd, 0x88c18639, 0x66b55403, 0x0fd4fa52, 0xc5689098, 0x4c3652e8, 0x5a192d43,
+    0xef47fbef, 0x09950c61, 0x51df294e, 0xd524d603, 0xad2d5016, 0xf283d0c2, 0xbf641822, 0x18f89231,
+    0x7a7db6fe, 0x9fa40df0, 0x5a95cd32, 0x9b13d736, 0x7d35f212, 0xe64c74d0, 0x59c894e3, 0xf5b27cfc,
+    0xe76827a1, 0xedfd2263, 0x22fb21a6, 0x602c7969, 0x87b28d8e, 0xb40f6e8e, 0xcb0fdb5a, 0x1f3c088e,
+    0x9fb3bf5b, 0xe0a38c4b, 0xd3a200b1, 0xe5b5d1b0, 0x63748a98, 0x34026354, 0x43d3a5a1, 0xdd2c4dce,
+    0x268fa78f, 0x19a62a17, 0x5f791f99, 0xddea441b, 0xf2e0fc99, 0xe50332af, 0x7007d01a, 0x50bd9374,
+    0x5441df4b, 0xaf590100, 0x7e9a1379, 0xcbcb1f0f, 0x700d9248, 0x3a681b9c, 0xc1f475fd, 0x26e1daae,
+    0x43e482f7, 0x97485c29, 0x701200e4, 0x0616b9fd, 0x43aea328, 0x30e85aa4, 0x4d7e76eb, 0xd40079cb,
+    0x17a0704d, 0x1ff13d71, 0xe143c30e, 0xec57ee47, 0x043d890a, 0x9a0b722d, 0xb00da20d, 0x0badd9b7,
+    0xe81063ac, 0xdb06d7aa, 0x46248ef7, 0x668a7df4, 0x0aa72f75, 0x2f39b1ab, 0x637eeac9, 0xe4756d0b,
+    0xce68c9cc, 0x5485d841, 0x43a79884, 0xab277d94, 0xdb246b22, 0xc58a6200, 0x49af9337, 0x8d73f65e,
+    0x99afa9e7, 0x63035586, 0x4c940b76, 0xd4f58d86, 0x7ac0039b, 0x27b60e8a, 0xeb0423fe, 0xf9e314b6,
+    0x5b47e454, 0x75c44c4d, 0x1253a9f8, 0x9158cfb6, 0xd0aa8f5c, 0x961d429a, 0x384153f4, 0xdbb5f25b,
+    0x9ad5e86f, 0xd424e0ee, 0xda7f4d61, 0x276f7d70, 0xbb95cf96, 0x758bfc0b, 0x14888a5e, 0xc7d0405d,
+    0x77709201, 0x5c3460ba, 0x16c6cae7, 0x3bf6190d, 0x6ec269cf, 0x8ceff1bf, 0x8aa9c1cf, 0xdc15c904,
+    0x334c5fc9, 0x467166aa, 0x2637ea80, 0xf5a46a46, 0xa6074ed3, 0x854f27ee, 0x7d8d3e52, 0xca6296af,
+    0xc1e7276c, 0xbaea8166, 0x38ee251c, 0x24aa0101, 0x62833211, 0xec85146d, 0x651c3638, 0xca101b3a,
+    0x00000000 }, /* 10**00000000000000000000000000000000103289995123476343586236766880120474973188231\
+                         71316894051322637426162590488067364778518581413120551325743612687890989973504 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62,
+    0xaff1bd9d, 0x6a748db5, 0x6404173c, 0x2ce83328, 0x7ef4eea8, 0xf9d1f125, 0xf55b1d68, 0x5eb0a1ae,
+    0x00000000,
+    0xae677ee7, 0x6699116e, 0xc79264ef, 0x6f073d00, 0xfd71c7f0, 0xe92633f5, 0xe14094b2, 0x3fbc3fc2,
+    0xfd5597e0, 0x62327228, 0xe3f2b0c6, 0xddd07d11, 0xb9ce02f8, 0x0f6ec856, 0x9122d063, 0x7440ab5d,
+    0x96a6ea34, 0x6fdc9233, 0x67ff0f9a, 0xcbd2de77, 0xa59282cc, 0xe50e899f, 0xfc8ed49a, 0xceb44a5b,
+    0xea69be6e, 0xf5aa8895, 0x7ac78a01, 0xdfcd4183, 0x32f86875, 0xa361568a, 0x8744786f, 0x13546424,
+    0xf1764e6a, 0x75f52120, 0xcff7a76d, 0xf9da14fb, 0x8a06f0f1, 0xd3dbe36d, 0x017ced67, 0x07ca1be6,
+    0x56607e95, 0xb1152ee5, 0x522a8863, 0xa0413af1, 0x6966e7fa, 0x4c3c8bb4, 0xa7c7d91f, 0xf6f4bbbf,
+    0x938bc34b, 0xf8f5a76c, 0x8cff0bcf, 0x7ff1f067, 0x37d43b0f, 0x3e877290, 0x45fbe429, 0x2a2cf92b,
+    0xd29f92c1, 0xbb7416c3, 0xbfd4402e, 0x6927470f, 0xc0ed3c9b, 0xf4ed2fee, 0x417718e5, 0xa0d8ee87,
+    0x570ffbc2, 0xfcb49f56, 0xe25de9dc, 0x5586f67a, 0xf9378c74, 0x9936f906, 0xcb527cab, 0x30c7fb37,
+    0x6f816a6b, 0x2d306553, 0x884d9772, 0x6f414f1e, 0x23e4df25, 0x749c6182, 0xa3a671eb, 0xde7ba99c,
+    0xe57a019c, 0x399c4d67, 0x21711394, 0x85faf72d, 0xfa04d38d, 0x17110f8c, 0x3ad0bc56, 0xea02524e,
+    0x9886ad85, 0x5e96de3c, 0x71dda157, 0x4afd8ee9, 0xd842e34b, 0x178244b1, 0x6334868f, 0x4f76e705,
+    0x00c6d50b, 0xdb12c68c, 0x6629d834, 0x98a28c6f, 0xf55d08c2, 0xeb0ae224, 0x9d873bc6, 0xf36b0a69,
+    0xd630e3a2, 0x8ecba97c, 0x11c52926, 0xb47b996c, 0xb125c545, 0x96cb75e8, 0x961dca2d, 0x4445a3b0,
+    0x9d84b9ee, 0xaa727b53, 0xa80ce4c8, 0xe984c3dd, 0xf9ce87f9, 0x16b66ce3, 0x51c0dd68, 0xf64d8711,
+    0x3a0af7cc, 0xc7a11170, 0xf5d6f374, 0x56cbb130, 0xd63dd3f3, 0x3f4fb509, 0x016b50a9, 0x2734906d,
+    0xbb4e97d5, 0x212326e4, 0x8a8cf216, 0xb7051dca, 0x09255322, 0x96f70e9f, 0x749113c7, 0xb407c09e,
+    0x913bab26, 0xace4d4bd, 0xe414434a, 0x4c9c1443, 0x1ed5d1b7, 0xb4f289b6, 0x7f998e7e, 0x0f0e5a53,
+    0xbcdcbaf1, 0x0d7760bc, 0xb20851d7, 0x8f70daed, 0x07f85ea2, 0xe94f0c14, 0xbf9cb49d, 0x76536941,
+    0x5f0e5152, 0x761daff4, 0xfcd5cd20, 0x41fefa52, 0x2fa3a041, 0x3b8a2c23, 0x2539ccb0, 0x43eecac2,
+    0xf5e083ed, 0x06e8e15c, 0xdfb41bfb, 0x975e3701, 0x987a6feb, 0xa3250e80, 0x2c5b5464, 0x4fb153b5,
+    0x595eaf1a, 0x2cac7475, 0xf0014c91, 0x41af3190, 0x952bf858, 0x7751e2be, 0xba27cbe0, 0x2965dde5,
+    0x1c47a9bb, 0x27533f65, 0xc6298c50, 0x4b95a7a1, 0x68f6fc3b, 0x3a5b2320, 0x38d405ad, 0xfe5f209c,
+    0xda5c9d15, 0xa2757c28, 0xc74832b3, 0x9a13ed8f, 0x6ced2b6b, 0x560f32f3, 0xd69c763d, 0x0f0edcc2,
+    0xef923cf7, 0x3024b896, 0x1168e2f2, 0x2c0fb8b7, 0x4db196e4, 0x446be0e5, 0x8508be32, 0x901b9eb8,
+    0xf3b3b6ff, 0x9ebf2e57, 0xc7a3996d, 0xe4da56a8, 0x2736718d, 0x8a47caeb, 0xb82fc378, 0xbcd7a5f7,
+    0x02872518, 0x424e85f7, 0xc767d8f6, 0xfeee1a48, 0xa7ce5fc4, 0xa98e1f0f, 0xa069aae6, 0xb90f5aa4,
+    0xa08005ae, 0x93c0e558, 0x9aa55ebb, 0x0d37ff6d, 0x91324d51, 0xed931aa1, 0x864d18df, 0x0074d59b,
+    0x8ef1511d, 0xb7ff0e0f, 0x453b5730, 0xe9aca0c4, 0x41e742c6, 0xeaca4eb2, 0xfb22fea0, 0x8fa352f2,
+    0xf4b94638, 0x7db3088f, 0x9f4f1cb2, 0xbf1f1e8c, 0xbffbc2b9, 0xef3bc5a2, 0x033a2fff, 0x38a08a2e,
+    0xff6348e6, 0xe3325c1d, 0x01d30b4c, 0x66c72426, 0x0c8a8a5f, 0xf95200fe, 0xa0e8f620, 0xca5a7b94,
+    0x4392baaa, 0x467b6298, 0xc8035fc0, 0x28fdffba, 0xede1e78a, 0x21ef5df9, 0xd711f2d4, 0x9518e46f,
+    0x536e6fc0, 0x9b6da4fd, 0xbe074835, 0x7ef20fc0, 0xa1bd9d6a, 0x2f00990a, 0x1ac21b19, 0x43806885,
+    0x007aa4f8, 0x702054da, 0x35915dd3, 0x612d4b4d, 0x06103818, 0x90ca110d, 0x67307481, 0xa0b4f264,
+    0x1ba61968, 0xd1fb92f1, 0xbcad9011, 0xc183298c, 0x9f138ba8, 0xb69e5fba, 0xa3ae9978, 0x5bd7a63f,
+    0x1480bf19, 0x461938d4, 0x0a038d15, 0x65a1cfeb, 0x285c294d, 0x952f9722, 0xf514439e, 0xe293bb91,
+    0xdf6ba1fa, 0x0615de49, 0x8d44379f, 0x10e20016, 0x6ebff1f9, 0x2cd429bf, 0x209c6ab5, 0x5eee47f8,
+    0x9c718b7d, 0x26c32750, 0x260d9c25, 0x93c56747, 0x58b07313, 0x75a2bb87, 0xbb56220d, 0xba8f3f5f,
+    0x88f71fe8, 0xb7d35dc9, 0x4ac15a3e, 0x7ae56761, 0x8a2305db, 0x4d40f747, 0x263d400b, 0x8ae5ee06,
+    0x2fbce8ec, 0xc967e180, 0x5598d786, 0x91c6cb7e, 0x5addee20, 0xb58f4586, 0x1e8072f9, 0x525f4d21,
+    0xb4ea8444, 0x25ece593, 0x0d8cb980, 0x3603950f, 0x49c00882, 0x21509948, 0x295cfa5f, 0x01d05b96,
+    0xd560023f, 0x772fc84b, 0xeefc9e73, 0xe7395fa3, 0x67969efd, 0xadeee1d7, 0xb4230c62, 0xd993266e,
+    0xe1704a0b, 0x723c5d04, 0x9c6ed221, 0x1c1bce60, 0xb703b976, 0x4d05d3e8, 0x0c8d57ee, 0x85eba728,
+    0x5a4872f8, 0x23d35133, 0xa24f4737, 0xb286933c, 0x686b3e59, 0x77fef09f, 0x26180ae6, 0x010222af,
+    0xd65579b2, 0xd37d02e3, 0x14a20d78, 0x67276818, 0x5da06597, 0x87c33cb8, 0x50860808, 0x1b906920,
+    0xa205e706, 0x47303b3f, 0x450dbf5f, 0xdc9c228b, 0x1f060e53, 0xfa332eac, 0x97b4d8cb, 0x27f26f90,
+    0xf3ae0736, 0x325d4747, 0x4937a16a, 0x0eb2a8de, 0xe6fe3da4, 0x52d9c5a6, 0x8a70b1ff, 0x22f3f935,
+    0x2c64cb93, 0xff16ca2e, 0x7cacc108, 0x80ec270d, 0xe1050900, 0xc82b4325, 0x88531cec, 0x218ca51a,
+    0xb0f6ad99, 0x8d7dbba3, 0x5c7a895c, 0x57cdcdd5, 0x940b7513, 0x110a3bdb, 0x114883e5, 0x409039d3,
+    0x664bf259, 0x7be4caeb, 0x92052881, 0xeb3e5543, 0x7fa43ac4, 0x2f944cb9, 0xc1a67ed0, 0x553d0b74,
+    0xe7a0a6f7, 0x0db20e16, 0x358e6c75, 0xd6da6001, 0xf6ef9356, 0xb7615a2b, 0x3e596a40, 0xb5efea3d,
+    0x21110b19, 0xe322b0b3, 0x9cb86908, 0xae33fc82, 0x7dc9d847, 0x2bdbd4b3, 0x94323a15, 0x507e70b1,
+    0x8f97aba4, 0xb9b89481, 0x333bcd68, 0x8514e7f7, 0x3a519b2a, 0x0b88ef43, 0x17f6d413, 0xeee12dc6,
+    0x2ca7681c, 0x428f2fb1, 0xacb0a7fe, 0xaabd9bea, 0x2a081974, 0xa7f1a58c, 0xe94ef770, 0x33dd4ab1,
+    0x35b14161, 0xc6a977b9, 0x3fd5be5a, 0x050f0583, 0xad528992, 0xbe239fd4, 0x1dd97742, 0x47d5e5ac,
+    0x0057b9fe, 0xab877986, 0xdb5c24ca, 0x31c7a299, 0xf387101d, 0x995528fe, 0x27b2465c, 0x25139ee0,
+    0xc127cbfb, 0xd1c0ad5b, 0xc8381c15, 0xa0489b46, 0x74b41431, 0xc0d8628c, 0xbd051061, 0x321a8677,
+    0x29e91778, 0x5e546cfb, 0x9609efc4, 0x8d09cf00, 0xaef37d8d, 0x03e55b13, 0xff26be74, 0x7c860667,
+    0x2b64c04e, 0xf53977fd, 0x69d69b47, 0x2e531f59, 0xe1e5df61, 0xb128e3d0, 0x073602e7, 0x76797d03,
+    0xf63766d0, 0x147d82b2, 0xa11a92ed, 0x0d2328d1, 0x65f1adbc, 0x0b1bd7b4, 0xf6001f6a, 0xdb0d9b5c,
+    0x3ad24d33, 0x31d39e6b, 0x753b0a4f, 0x287f752c, 0xdbc8f278, 0x2f6a33df, 0x5d73ff6e, 0xef56c804,
+    0xbe3cce8f, 0x50a032d1, 0x0cfa2bc1, 0xeffd1020, 0x0b60b5b2, 0xb575a7d1, 0x94467048, 0xeabde330,
+    0xccd56f03, 0x13596ec5, 0xe0a8ca74, 0x58fdd0fe, 0x0caef2e5, 0x6f46dd57, 0xeb6f33e9, 0x3ac5ee02,
+    0x44fdd234, 0x993a0a2d, 0x1f16bcff, 0x7c9ba127, 0xd94adfe1, 0x33fe83c2, 0x169ba86f, 0xd202adb3,
+    0xacfd4ed4, 0x790eca13, 0xdb28870e, 0x7b309696, 0x85d9046b, 0x53181ae3, 0x58678bbc, 0xf65c5932,
+    0x262ba283, 0xcc836709, 0x0885d55a, 0x73a7aff7, 0xb80eb257, 0x56be4d1c, 0x5b667d74, 0x4ab56c2b,
+    0xf9b03bf4, 0x11b2318b, 0xf5c76e1b, 0x0b1c129c, 0x482cb36e, 0x636026e3, 0xeccbc5c4, 0x60039785,
+    0x8dae3312, 0x538b0056, 0x2c303ded, 0x7aa99b5c, 0xcae3cb0c, 0x4be5e19a, 0x3d4be700, 0xa726ef33,
+    0xe07dd2b1, 0xa8a5d59c, 0xfe829ad8, 0xbb4689f5, 0x2889e138, 0x35fba6ec, 0xab1a297f, 0xfb052c62,
+    0xf3cc9afd, 0xfcb32ae8, 0x9e07f1c4, 0x3ebf3268, 0x0dd12106, 0xa691ea6e, 0xa00d2ce9, 0x3ad7441f,
+    0x4cbcf4c6, 0x4420a797, 0x9164c6fd, 0x2fc817cb, 0x51432471, 0x4210725e, 0x023217d3, 0x16f5c00d,
+    0xc9085066, 0x5cdbeff0, 0x8cec261c, 0x99371bd6, 0x9cfd8cf0, 0xacbd3001, 0x4d8285d1, 0xa6ad8612,
+    0x13c24e4f, 0x60ffb456, 0x64ac832c, 0x57f82b73, 0x1061cb18, 0x5694b0f8, 0x1c0fd8d4, 0x0b76141e,
+    0x6c675f81, 0x6b85db12, 0xc82d70ed, 0x0a2d93b6, 0xbaec0a9a, 0x2662c2b7, 0x1f572835, 0xea647348,
+    0x91c1ab2e, 0xc92d6fdb, 0x4a7792e9, 0x60c41566, 0x48cfad99, 0xf5e6ebd2, 0xf336e0ec, 0xcbdf4f89,
+    0xb93e9566, 0x67fc8279, 0xaab37ab5, 0xaa36c8b7, 0xfe2db062, 0x8b9d4701, 0x9dd61187, 0xa087d416,
+    0x5b8ef418, 0xf257231a, 0x7651e5a8, 0x09446e99, 0xb8250806, 0x76a53dee, 0xbe9d5208, 0xde364066,
+    0x02281786, 0xa249c2bf, 0x17ad3fb4, 0x24598a2b, 0xa05e2991, 0x5c726807, 0x75729dd2, 0xbed5c726,
+    0x5e5b03d5, 0x6bb955f3, 0x8b264ec7, 0x4dba6135, 0x3bc365ff, 0x0fd241c7, 0x11080e0a, 0xa74fd7a2,
+    0x1bf25486, 0x94c4573d, 0xebe6d665, 0xbd914493, 0xe67c13e7, 0x8a1f4f67, 0xbffe6ae8, 0x75241a37,
+    0xc395fa3c, 0xfb5c0ce2, 0xde623042, 0xcdf21177, 0xd9da7fc1, 0xd61085fb, 0xe31bcd4e, 0x893c3555,
+    0x67d90f38, 0x94ee7910, 0x79281178, 0x16d75b88, 0x23bf1768, 0xe3d3495b, 0x1cadfa6a, 0xf1faa0d2,
+    0x0d92cb73, 0x7def815c, 0x22e4f53d, 0x496e4749, 0xb8915247, 0xd1633b83, 0x34c6f4cf, 0xef0114b2,
+    0x6915bf09, 0x1b20c240, 0x6b3e07e8, 0x5ffd5d6b, 0x49718b3c, 0xaf46ee11, 0x797dfc45, 0x182bbfac,
+    0x5aae5e1d, 0xf8fc3884, 0x08920c71, 0x1d4f106d, 0x0caef37d, 0x713c37cd, 0xa741ee92, 0xd084e269,
+    0x1c14ffe5, 0xa56f43db, 0x6110d8c0, 0x4f4a1673, 0x409279ee, 0x31727b9a, 0x8d865308, 0x6c37c2cb,
+    0x88b2b39b, 0xc1d6fc0a, 0xc5a75692, 0x4074943d, 0x1e8e8b2e, 0x59dd864c, 0x309f174e, 0x27a1e92d,
+    0x63363077, 0x20d4e406, 0x8031f800, 0x9602f441, 0x9c2e30f3, 0x10678ebe, 0x9a749a23, 0x00333d5e,
+    0x69789df8, 0x4a54146c, 0x90ac4fd0, 0x1b03a803, 0x7d5ffdbd, 0xd20942d8, 0xb83080da, 0x43de5e62,
+    0x0ef3d351, 0x2d5c8fb1, 0x8251d036, 0x3d2da36d, 0xc9d2c39e, 0xe712f1dc, 0xcebb0ab2, 0x8ed81b46,
+    0x015d3b4e, 0x9a99c8b9, 0x75644d7f, 0xee50652a, 0x6815721c, 0xe4cb0e1c, 0x0730c9c9, 0x964ce846,
+    0x4f0585b6, 0xf0c4d670, 0x0b954c6f, 0x4857033f, 0xba355a89, 0xec4d2737, 0x5847f6d1, 0x8a6d4b1c,
+    0xb0ff0fe3, 0xe44eef94, 0xfeaf1919, 0x181da7b5, 0x0b51ec29, 0x1811f43b, 0x43fe5369, 0xa207b833,
+    0x1db19d11, 0xe4917d5e, 0xd1f3c80a, 0xb55b2575, 0xeaa6b052, 0x1159fc64, 0x8a661bb7, 0x75ec94f6,
+    0x0316b307, 0x5aa4efab, 0xa2b6d733, 0xca8f6a6a, 0x05e9e343, 0x9a68c15d, 0x0706cfc6, 0x3254b20b,
+    0x4cd0aa25, 0x0197fa93, 0x16ca4a2f, 0x06d15008, 0xf0fc9178, 0xa0776e37, 0x5a1a75a2, 0xbc2f339c,
+    0x47cd54db, 0xd456ec02, 0x9a2c1a3c, 0x24483094, 0xb45f0bab, 0xf12a5d42, 0x4364dd4f, 0xec73146c,
+    0x7fdc1490, 0x2f7c3952, 0xb913fbe2, 0xf87e401d, 0x9110a3b0, 0xe7c7173a, 0x6a38a413, 0x5e29db1d,
+    0xaaaff20b, 0x40711d30, 0x916cfedd, 0x364e985b, 0x18c78e6d, 0xfc5963d0, 0x11830cd3, 0xe0cf37a8,
+    0x42e7eb60, 0x1f094cde, 0x225f831f, 0xfd06b940, 0x3a5c9567, 0x0c0bb7e6, 0x76faffb2, 0x62b0139b,
+    0x429dd34f, 0x0690496e, 0x31e2c98a, 0xc54f185f, 0x9cdc8cb0, 0xef8230ee, 0x2c64f82f, 0xc084c4d4,
+    0xb010f9a2, 0x6d6481e6, 0xc4c6f7b5, 0x9e213cf2, 0xa066394c, 0x0d9aec12, 0xba878bc6, 0xbdc893bd,
+    0x44024f71, 0xef9f9c8d, 0xbd44613a, 0xdfefbbf7, 0x18a1229f, 0x61fb0181, 0x4ffeec27, 0x8ece9b0a,
+    0xe0bc4683, 0x9c82461c, 0x400e7c9e, 0x10248d6f, 0x2ef8c15b, 0x05f7b05b, 0x6a614ab4, 0xb977f70e,
+    0x64e816ae, 0x9ddb6129, 0xfcea7e4f, 0xad0cc801, 0x8c7e9a76, 0x10327b0a, 0x86064112, 0x2ebe9e8f,
+    0xf84523d9, 0xa3764375, 0x666057d1, 0xb1880a0a, 0x12e80694, 0xd2abfdd6, 0x16d2de0f, 0x5748f839,
+    0xfcef19ff, 0x78c30f79, 0xcf32e0f0, 0xb9c9f289, 0x39af81da, 0xfddb72b7, 0x953af2a0, 0xa36e75ad,
+    0x7324d65e, 0x0857259a, 0x0bc837cc, 0x6b71ca1d, 0xccf0f20b, 0xa7e0ee91, 0x74444e87, 0x39046c43,
+    0x1e8d5a09, 0xa6f252a4, 0xb5d24f61, 0xb1f2fb25, 0xb83a6308, 0x42eac9c8, 0xc2802711, 0x87017ad4,
+    0x2114224b, 0xf3c67b71, 0x5c07bae7, 0x5ac4ce73, 0x9e10500a, 0xf4c60b45, 0x19517cfc, 0xdd41ca73,
+    0x6621d182, 0xd9059941, 0xb827629e, 0xb625f5a0, 0x22ff7e7b, 0xb374d6db, 0x0f34e0d0, 0xbd415e4a,
+    0xae43f23c, 0x8129d8f1, 0x230df8c6, 0x7fce8305, 0x3783e9b2, 0xa9102f17, 0x65c59dba, 0xf46ec199,
+    0xe8cbd196, 0xf47b03c7, 0x62d088e7, 0x06b2c59f, 0x188937c8, 0x49fd4758, 0x3c02f90e, 0xcd165de9,
+    0x01b1ebdf, 0x51e91bdf, 0x0e9dbe48, 0x40d7ebe4, 0xc4bdfef7, 0x7a900435, 0xe5a36aad, 0x04f6592f,
+    0x9d0d1025, 0x5a8b4d01, 0xcac2a1ba, 0x85f81d83, 0xb8356e63, 0x0d4e6ae9, 0xbc2930df, 0x598894ee,
+    0x68ca0fc4, 0xa57dc1dc, 0xd733977f, 0x4a6b3992, 0x0a21a029, 0xcb7af14c, 0xd7753f85, 0x87f83869,
+    0xec1f79d0, 0xfdd42b49, 0x76761588, 0xf7d31da7, 0x064b2e0d, 0x940e868d, 0x757c9b8b, 0xec17637f,
+    0x11614db4, 0x67d208d2, 0x3ecd37b9, 0x8870642b, 0x24b00b68, 0xf7937eaa, 0x3d6741b0, 0x384e36c7,
+    0xe14470dd, 0x6b1a5071, 0x6ee3e706, 0x7822f290, 0x7f74a195, 0xc970ee86, 0xd18462cb, 0x5ec359c7,
+    0x5eb47055, 0xc35396f2, 0x53056437, 0xb27a84fb, 0xff2ac688, 0x6fae507a, 0xbed322e7, 0x62f8465c,
+    0xf297efec, 0xddf26bd9, 0x218b5250, 0x36505a59, 0x1508648c, 0x6d00fb4e, 0x319ed93b, 0x36e5da11,
+    0x30599a09, 0x1e61122e, 0x26daa85f, 0x4e4246ec, 0x8d4943c8, 0xde8defaa, 0x63b63bc2, 0xbd291507,
+    0xd384d7d5, 0x17667969, 0x06be57d0, 0x08675fd0, 0x37ea9b31, 0x655043ae, 0x053528f8, 0xe1625812,
+    0x22433404, 0x9a5b4c82, 0x1e6bff49, 0xa6ee1fc4, 0x4b0e9cb2, 0xcfcfd98a, 0x64bf84d2, 0x734ff3b2,
+    0x4bf3156f, 0xc8faf97c, 0x8da7e086, 0x626b1f3b, 0x3f96fb38, 0x75f7f84f, 0x00ff6e70, 0xa9424d99,
+    0x35de3c9c, 0xa5148de9, 0x7217384c, 0xa4e1d299, 0xff77892d, 0x6602fcfc, 0x10fc56c6, 0x5347d25f,
+    0x00000000 }, /* 10**00000000000000000000000000000000051644997561738171793118383440060237486594115\
+                         85658447025661318713081295244033682389259290706560275662871806343945494986752 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1,
+    0x57f8dece, 0xb53a46da, 0xb2020b9e, 0x16741994, 0x3f7a7754, 0x7ce8f892, 0xfaad8eb4, 0x2f5850d6,
+    0x00000000,
+    0xd34caeab, 0xd0521e70, 0x4b6660f5, 0x104c4401, 0xad92ae46, 0xd0011425, 0x055a3e42, 0x0b5b7e14,
+    0x7f5d7c42, 0xb0367fbb, 0xa0857391, 0x3a3a7286, 0x605c6e31, 0x0a613536, 0xd212fbc4, 0x5755a8e5,
+    0xa1599fde, 0x4adc1666, 0x8aa5d5c9, 0x32ea036d, 0xd81f74ea, 0xf84a6752, 0xfa2deae6, 0x9ee185f7,
+    0xc8d9dc21, 0x529f7e31, 0xe50b53cc, 0x89cc4d0b, 0xb7b92ecb, 0xbdf6c1f3, 0xb3ff0375, 0x525ece3a,
+    0x5b39cc1f, 0xb1e71818, 0x11063ae3, 0x3c0e4308, 0xfd8453f5, 0x56aed06b, 0xe1d0a9ee, 0x8eba47de,
+    0x55edf38b, 0x190e26e6, 0x7295066e, 0x669c59fb, 0xc1f4eb83, 0xf145c49a, 0xd2e494f3, 0xb0d3fb13,
+    0x2983b9ed, 0x1c5ca18c, 0x912fadb7, 0x85a4108d, 0x9404d236, 0x681e1ed3, 0x7d57366d, 0x8d37d6aa,
+    0xe635ce2b, 0x38957676, 0xe3c83e6b, 0x9af73e8f, 0x9ec16950, 0xbe4ee1d1, 0x8475388e, 0xa9aada00,
+    0x8e74e81b, 0xbd75ecc1, 0xde3fcb63, 0x46dc4213, 0x35443915, 0x7d9d4a84, 0x9842d127, 0x65b4146d,
+    0x59f195fc, 0x234564ee, 0xc9f41a00, 0xa37ed683, 0x96834523, 0x888cabca, 0x3444a995, 0x2d5dc6aa,
+    0x6976efd7, 0xcb2eed47, 0x1a9bb00a, 0xc1454935, 0x883a91ef, 0x2b42c59c, 0x3cc3cfc6, 0x68ccf317,
+    0x8b9074ba, 0x0473d653, 0x2c7c3845, 0xb82ff9a8, 0x8b609c8a, 0xbef02b2d, 0xa380c4be, 0xfb9152fd,
+    0xc6345765, 0xb03d3e5e, 0x084e8a54, 0x54ad939e, 0x39f0956b, 0x9a012d14, 0xd691f01b, 0xe333187c,
+    0xb36780bd, 0xb626b31f, 0x6d78011b, 0x5fa1c969, 0xe042818e, 0x399a6517, 0x2714552a, 0x5d92d68c,
+    0x0effc9e7, 0x934540de, 0x24e85391, 0xf24cdd8b, 0xc4e0ca71, 0x349f43c2, 0xfb9e8c39, 0xa3f98dd9,
+    0x0c237bfa, 0xa36b97df, 0xc7ebcbd4, 0x0e21419f, 0x26f46bc4, 0x0bb0b1be, 0x6a7dc499, 0xf9c98d70,
+    0xa549d3a2, 0x3dbf4eb0, 0x86990922, 0xbaa2975d, 0x8ff64042, 0xd552ad59, 0x07a5f3d9, 0xeb45baa2,
+    0x42088fba, 0xb81237d8, 0x5d08b64f, 0x585039e0, 0x2d979766, 0xb33543be, 0xf3380b35, 0x49ba6283,
+    0x86883dc6, 0xab9cf26b, 0x360a6107, 0xed912bae, 0xd01fe2b0, 0x48110514, 0x08ae9651, 0x9935777a,
+    0x503682bc, 0x24d44ae0, 0x75ce6071, 0x4465d7f6, 0x8a9f145e, 0x06a99d95, 0x73174588, 0x9dda931a,
+    0xfe0a818b, 0xf1c1d7ad, 0x4ae545df, 0x49430207, 0x766940f8, 0x33ddb738, 0x72ebd243, 0x7c0a8904,
+    0xaf884791, 0x087d7280, 0x994587b2, 0x8ab16302, 0xc17e51a5, 0x1075962c, 0xa73ad29b, 0xb51f28cb,
+    0x87b8fb2e, 0xfeb925ad, 0x48266a98, 0x3a2cabe5, 0x3ab1b791, 0xcc2df2cf, 0x4b6121a6, 0x884db361,
+    0xeb013390, 0xa968d246, 0x38fe7bf6, 0x0ee1789a, 0x342a06db, 0xf040c895, 0xa892cae7, 0x9da72293,
+    0xc810d0f0, 0xc1d72a81, 0xb30db921, 0x84c98faa, 0x80d415b4, 0xe2228df4, 0xae47ee91, 0x0dbaa993,
+    0x6452f225, 0x9153ea75, 0x66b2f6ab, 0x60dc0d22, 0x576d07ba, 0xc4c18efe, 0x9a3f5a8d, 0xff6dd3cd,
+    0xf2ceadee, 0x21fb28ca, 0x534e7626, 0x889793da, 0x1251d4da, 0x175f47d1, 0x8a7f5280, 0x082f9a69,
+    0x4fae8384, 0xaceecf37, 0xbbb82b5a, 0xc06da49c, 0x060b5fe3, 0x42d8d632, 0xbd43e977, 0x88909a1b,
+    0x97d7e219, 0xb2619c47, 0xb6f951df, 0x056e1399, 0x87244733, 0x6772fcc2, 0x2c744835, 0xe2436a94,
+    0x4899bfcf, 0x69330887, 0x0b5d93c8, 0x9eaec726, 0xf76a8ad2, 0x73dfc15c, 0x003e1081, 0x66a05b5c,
+    0x9f1a3c60, 0xc0f22e8a, 0x683b1266, 0x902953b9, 0xb6e16ae1, 0xeb3b0874, 0x512e6797, 0xf97c4b78,
+    0xd18a90c3, 0x68909bdb, 0x0a56fa42, 0x50fdb43e, 0xafb2bc55, 0xce440277, 0x4338325e, 0x10e44de9,
+    0x2e0ee669, 0x70cbdbd8, 0xb363f724, 0xf1b09052, 0x837cef04, 0x33c3f7cb, 0x7bb347f9, 0x3e313afa,
+    0x8718f0ea, 0x30ddcff7, 0x545cc869, 0xf7ace64a, 0xfecd7241, 0x4cfa9446, 0x6dd83cc5, 0xfbdba080,
+    0x552b1ad1, 0xd40eeb1a, 0x79785c33, 0x25b114ea, 0x70323e4c, 0xd3957e9c, 0x9f99ee0f, 0x21dcd76e,
+    0x46a87eb5, 0x64b741d5, 0xed646f40, 0x3bd1d100, 0x348b1f9c, 0x6e76233f, 0xdf4c0d04, 0x3baa7c30,
+    0x06f38dcb, 0x70d3a09f, 0x81f59f8f, 0x03a4102e, 0x0c053e54, 0x76a3096c, 0xa244862a, 0xdab3998c,
+    0x6a4b4f99, 0x7a57f591, 0x1bb1b338, 0x2031757c, 0xff1e5394, 0xd196bbf0, 0xcd20a9a7, 0xfb27a663,
+    0xa84c7fc9, 0x4b300bdb, 0x0f3f6086, 0xb8ed8665, 0x2dcbfc21, 0xf877bb2e, 0xcb4dec90, 0x8615f4b2,
+    0x33803b05, 0xee87e61c, 0x79bbc6ce, 0x951f0a4d, 0xe4272cc5, 0x7dbdc86a, 0x8a45ed65, 0x1f56665d,
+    0xc3ddd6f7, 0x907385ff, 0xa285388b, 0xa8dfd31c, 0x39dd73db, 0xf3c25bfc, 0x009e624a, 0xe2e1b919,
+    0xae0c495e, 0x2b5f7e5f, 0x34e81477, 0x1b2d6175, 0x3819f9c2, 0x8ef2ceb7, 0x57d94049, 0x1f22522e,
+    0x56d2bafc, 0x6fadd453, 0x9993cbb1, 0x08fc9b5e, 0x45f8a550, 0xbda9bf87, 0x74ebb96d, 0x51f384e8,
+    0xb941d9aa, 0x3b1c51e5, 0x444f5caf, 0x63eae3f4, 0x660a4bdc, 0xd53cc578, 0xd02f091d, 0x1779c226,
+    0xa416ddb5, 0xa54e1d58, 0xb81f3a5f, 0x9b2318ef, 0x417e61bb, 0xb8aa1582, 0x8ac022aa, 0xb43db887,
+    0xd9faec92, 0x61389cd3, 0x5efb708f, 0xf2e70d4a, 0xbdc76ea2, 0x8dc10031, 0xb633281d, 0xf864d271,
+    0xcdb82a14, 0x641f6572, 0xa5f046ff, 0xcd917342, 0x609f1ec7, 0x3e72c525, 0x42c73cf0, 0x96603ad6,
+    0x136caa8c, 0x34c06d59, 0x737162b5, 0x835971ec, 0xc99b9ba9, 0x1a857978, 0x53ad4147, 0x4cf9098f,
+    0x919c9a0b, 0xbe06c33f, 0x57ed3fd0, 0x5bdead0a, 0x3e5c8f6c, 0xa8aa403e, 0x9c0714a5, 0xb009206d,
+    0x3b961d94, 0xd99fbf37, 0x9e45b994, 0xea7f8680, 0x48c386b8, 0x972a39ca, 0x64f17730, 0xc0681ab6,
+    0xc27ecca9, 0x822a92c0, 0x1c31c424, 0x2f0feabc, 0xa279eb27, 0xfe7ba4b7, 0xb83f181b, 0x8d1f08ed,
+    0x746c1ca0, 0xf31d9aa3, 0xec04b47e, 0x6def4ac2, 0x06d43886, 0x12c8bcf6, 0x3063b209, 0x9a7e955d,
+    0x202753e3, 0x640d5c70, 0x7af9b384, 0xad708434, 0x5914bdee, 0xf4e93b29, 0x033f7735, 0xcbea502f,
+    0x2532e901, 0xfe982927, 0xedae93b2, 0x23541f46, 0xb5e18c75, 0x70205718, 0x97aaeb42, 0x25bd76c2,
+    0x3127bb1f, 0x84f3ba77, 0xe508256f, 0x93e8fc39, 0xf76492ea, 0xa0e6c99a, 0x46a324a4, 0x4da64c28,
+    0x45b8699b, 0xfa36d79f, 0x94b71ed2, 0x86669dfb, 0x81500361, 0xa63ec22d, 0xfc6c0ca4, 0x77a66ebb,
+    0x839c9df3, 0x807dd4b6, 0x9d169c00, 0x27a7333b, 0x823a4873, 0x2975b45a, 0x545e9fc7, 0xf58ca630,
+    0xaf9f1041, 0x56717d6e, 0x7b4abcb9, 0x7dd2aef4, 0xa30daca9, 0xd4aa4990, 0x3e410979, 0x0505f20e,
+    0xc70fdae6, 0x9a4bf01e, 0xc7aeb3e2, 0x00fef01f, 0x9c615559, 0x595f1f60, 0x1fd7439e, 0x6440ffb5,
+    0xff8632e2, 0x3854601c, 0x5ae04eaf, 0xe5799552, 0x2cfc90d3, 0x299d11f5, 0xbef3b70e, 0xfe5b7e68,
+    0x87607650, 0xe8f7341b, 0xfc1072fd, 0xaf0d3401, 0x7c47a142, 0xadd2bddf, 0x271612b0, 0x325a4d11,
+    0x815ee5fc, 0x56812390, 0xe5823202, 0x4e102ea6, 0x44484a87, 0xca7d7006, 0x63fafb21, 0xaadefb6a,
+    0xe05faf95, 0xb1978c07, 0x9b046f29, 0x6129d95d, 0x5dd6b3bf, 0xb9dcfcc8, 0x8ed7d258, 0xf11fb581,
+    0xd950fcc5, 0x2c328970, 0xff2a161d, 0xe6e2d5ec, 0x2fb327e1, 0xf499e24c, 0x0716292a, 0x7c1afbe3,
+    0x1c5c5dc5, 0x4c1df0d1, 0xaeafe70c, 0xdbb3acef, 0xf1b3d53b, 0xe56d87e6, 0x41565132, 0x1afb516d,
+    0x2682beda, 0xfc7e1b28, 0x218a936d, 0x3262aefd, 0x54015030, 0x08d21dba, 0x182cef9a, 0x016943ce,
+    0x0713eb4f, 0x0bbac354, 0x2f17ac60, 0x6ffd4d26, 0x81a6c60b, 0xce8a8e52, 0xd53f35de, 0x27ce436e,
+    0x715b6903, 0x647ed218, 0xb96a927d, 0x4b21ad0c, 0xc8712937, 0x072cd1a5, 0xf6c617ec, 0x24032682,
+    0x47eb7786, 0xfd37f693, 0x4fb64a56, 0xd669ba6a, 0xd58fd4d2, 0x08fc905c, 0x6bddcf5f, 0xecfc79a2,
+    0xe49a977e, 0x60a7c43b, 0x3c3e7950, 0xec964720, 0x30877f13, 0x97f8669f, 0x1c31f283, 0x1808bb79,
+    0x6427fcd2, 0xac627a38, 0x62e25e65, 0x7ab2388d, 0x2c0a5c59, 0x959b7379, 0xb6310500, 0x6f74cd60,
+    0x98016103, 0x94a9b7a7, 0x7c6d317e, 0x96183ec8, 0x0cf5dd83, 0x54890d29, 0x7fbbfaf6, 0x79fda95d,
+    0x15e59c75, 0x1b912bdf, 0x233f4ac7, 0xb9f1e373, 0x59553a4d, 0x4fd8e780, 0xe5787d4f, 0x3f3c84a3,
+    0xad2eb7fa, 0x73f7cc8f, 0x307789a4, 0xa9fc3e15, 0x29f45300, 0x606bf052, 0xd8cd3cb5, 0x9e3d955a,
+    0x9d5794ba, 0x94fb4d26, 0xa9d0b797, 0xfd831aae, 0x207e39e5, 0xdee32c8d, 0xc56b11ee, 0x51b85681,
+    0x1334039d, 0x8b531f86, 0x3ed372bf, 0x027e9c46, 0x3d9b20bb, 0xc5c2fe77, 0xe4c9d9de, 0x51192fdd,
+    0xb9ad86f8, 0x5610d6cd, 0xc861a1a9, 0xb6949856, 0x14f5d68a, 0x64f4a087, 0xde436357, 0x39895f07,
+    0xd350d0d0, 0x6af17ca2, 0x287e3562, 0xf1f4e1cb, 0xa885c17e, 0xc4b6997d, 0xb6f4e31e, 0xa1d0cd1d,
+    0x94b7f9a1, 0x91e12d40, 0x33cf6344, 0x8d7bcb35, 0x2e5e18d3, 0x4823342e, 0x62974962, 0x6e695e9f,
+    0xc197d410, 0xe3aac03c, 0x56d999d6, 0x0d475ace, 0x9e7a910f, 0x9773a787, 0x2d8727ed, 0x45333c7a,
+    0x91e1a1a5, 0x71a3a252, 0xbd80cc2d, 0x38312587, 0xd2430e94, 0x7f9d15b9, 0xf6f98a85, 0xc9c63bda,
+    0xe5ff7c25, 0xd322c5eb, 0x535f8def, 0xb4a66c79, 0x27182835, 0x958539d1, 0x8895350d, 0x3065d4a7,
+    0x877c34a8, 0xa33870f1, 0xa212bc44, 0x142009b0, 0x9203d38a, 0xc4063c15, 0xb0a23f34, 0x1ef696a6,
+    0x9d8e69b6, 0xbdca124e, 0x52a6e272, 0x8e6a7974, 0x1ef69046, 0x42b01b4d, 0xd12ca7bf, 0x8499f1fe,
+    0xc63f0895, 0x72c8a08b, 0x042d222a, 0xabdef688, 0xf94c2377, 0x49e76e29, 0x96f4b225, 0x3766e8e4,
+    0x609a919a, 0xe54f81b0, 0xc69604d4, 0x86fbe457, 0xfe2b4670, 0xdf7fe9d1, 0xa091361b, 0xa5345149,
+    0xd03eec95, 0xe4a8b870, 0x8e370fb8, 0xa1eec297, 0xd7c6668c, 0x5ad36252, 0x4e1865ef, 0x2399eb35,
+    0xac62a4a2, 0xe65ba495, 0xb4a674d7, 0x644c1636, 0x201049d0, 0x1ade813f, 0x3b576511, 0xebe868ac,
+    0xe3ea5b0b, 0xf0e946b0, 0x0575df79, 0x3727a573, 0x7d575708, 0xddf086b1, 0x9ac4b7f3, 0x4e87d5d1,
+    0x0355f713, 0x4c6a35f0, 0xb674caaa, 0xdd3a52c6, 0xa422353d, 0x97d64b81, 0xd573fdc2, 0x17485fe1,
+    0xc6b7ad2b, 0xaca425dd, 0x5dca4e80, 0x77558f0c, 0x67a97c2f, 0x0e311d74, 0x54ec92c1, 0xc3f6882f,
+    0x94bd7a9b, 0xa57369f4, 0x24e25915, 0xc267ac48, 0xd241890c, 0x2cc08bdf, 0xedfb566c, 0x495f1c83,
+    0x87e5ec36, 0xf6e25643, 0x9adfa955, 0x79a04723, 0xef5edc7a, 0x4fa2a187, 0x7db62e2d, 0xc7323c82,
+    0x8000cee7, 0x6751dc30, 0x09f62f9d, 0xc05d19ce, 0x195eae1e, 0xf8b6771d, 0x465c1735, 0xc1976f1a,
+    0xbaf558ca, 0xfd71ad7f, 0xee705026, 0x66a8514c, 0xd3f0473e, 0x7da231c6, 0x92ee7e32, 0x61c0a1cc,
+    0x5de7ea9c, 0x5f955da0, 0x3753ef2b, 0x57995514, 0x01727c5c, 0x93280b1d, 0x0f7e461a, 0x08987791,
+    0xd620d6f5, 0xb51aaf78, 0x26be09b9, 0x59a733d7, 0x09da2992, 0xa6a438ff, 0xffccf37a, 0x066fccfa,
+    0xa992cc07, 0x322c54ec, 0xada3571c, 0x03b31fd5, 0x8327f583, 0x116df007, 0x7e22b166, 0x47b65c80,
+    0xf3b8d999, 0xfe933d6d, 0x25e9f671, 0x0688acdc, 0xd0bf4c93, 0xe08009a9, 0x7b1bc46c, 0xae9d0971,
+    0xc694375f, 0x2e462492, 0x6ad19a58, 0x940bd8e4, 0x0539ac16, 0x1be0af9d, 0xb850c5f6, 0xce7dcd56,
+    0xcd435af2, 0x0d8cf504, 0xdb324682, 0x6a39ff0a, 0xf233c313, 0xc2f4839b, 0x061c5159, 0xa674c51b,
+    0xeccbeae6, 0x337432ae, 0x8fd6861b, 0x16182966, 0x5899d884, 0x6260d2a8, 0x4c4d1c57, 0x3ba7085d,
+    0x79fa24ad, 0x66a52697, 0xad84ae62, 0xce669315, 0xc836be00, 0x79ccc34c, 0x3a6397e3, 0x035aca14,
+    0xc4ccae9a, 0x7b2c16e6, 0x7031a916, 0xdc42d7d0, 0xa47f8773, 0xdc425617, 0x2da45b71, 0xbdf71535,
+    0x2476b53d, 0x00d16a1c, 0xd902e9fe, 0x099a9dbc, 0x170ef576, 0xecfb6562, 0x911f8332, 0x71d6c9b6,
+    0x567ef4da, 0x0c6da5ae, 0x7155179d, 0x409f6dcf, 0x714a520c, 0xa39ce428, 0xb9307caa, 0x4b90a16f,
+    0xcb932bea, 0xbd4df098, 0xba3a1c12, 0x6ace2e93, 0x8e477027, 0x46f50d50, 0x4474c11f, 0x575a06f6,
+    0x3bd538d8, 0xc596dfd0, 0x0794afe9, 0xcd172fd2, 0x83ed2a5c, 0xb5d72656, 0xbb9e95e9, 0x3ff66f6b,
+    0x5592b3e9, 0x7685e0c7, 0x0844bd19, 0x5933404f, 0x91e877ca, 0x05513682, 0xad99132d, 0x0a531f43,
+    0x6a6e8726, 0x5603b4ba, 0x7edf9111, 0xcd3ca1d6, 0x38331115, 0xd9ca648a, 0xe589faa6, 0x993a740f,
+    0x93caa3a9, 0xf4f016b7, 0x0004463c, 0x7cfd6032, 0x628adde6, 0x87828c5b, 0xe3d65c88, 0xa7054d98,
+    0x3a8308c9, 0x0dd26359, 0x9483296d, 0xf9727a8f, 0x1935ac97, 0xf90828d6, 0x0e6c8732, 0x2a05ee7a,
+    0x1f1a1c3e, 0xfae4dbdf, 0x0f6d5fb5, 0x4cdbf633, 0x78af08e5, 0x47788346, 0x079f19bd, 0x113d0f12,
+    0xaf542a90, 0xda0d583d, 0xde4106d3, 0x9d7148d9, 0x5bbd3c47, 0xe3d39ee5, 0x73596e2f, 0xe09a09fa,
+    0x27639c42, 0xfaffd487, 0x21de8253, 0x9909c366, 0xdb8ea819, 0x66273c71, 0x309b52d6, 0x0f8d5dba,
+    0x201a8145, 0xf585f150, 0x33948d6b, 0x1c47eb38, 0x87d635b1, 0x133b76bf, 0x810d5c2f, 0x82354d88,
+    0x38b41115, 0x0db66e4d, 0x105ed0d7, 0x979580d2, 0x0aac9221, 0xcaaa68c5, 0x304a792b, 0x5e707570,
+    0xe96b7898, 0x0ec436cb, 0x36edae1f, 0x03260d75, 0x02ce5b5a, 0x16af4756, 0x62987dab, 0x3cbd0d35,
+    0x8c347bb9, 0x25dfe3ba, 0x282e0099, 0x2299b2da, 0x39ea7069, 0xae95c53b, 0x09004bea, 0x6ceb2bb3,
+    0x0cf90142, 0xa3251ae9, 0xa1d844ec, 0x536d95ac, 0x839a9d47, 0xc55b8fef, 0xf67e6861, 0xb03906ca,
+    0x7781307c, 0x8e655113, 0x3a3b8294, 0x867756ec, 0x60a20f53, 0x8c431aa0, 0x6f43e200, 0xe595de80,
+    0x627ee69b, 0x775319f3, 0x1412751f, 0x8994f8f0, 0x865d50d0, 0x5b379092, 0xd30af12a, 0x62fb3f0a,
+    0xab0b1dcc, 0xd3f5ba41, 0x4582bfd0, 0x90afce2e, 0xbdc5eda1, 0xfef01474, 0xf8e0958f, 0x2ac13c28,
+    0xdbbaa408, 0x57619932, 0x6dc0aea0, 0x19c1f801, 0x91a1c736, 0xcfa4f4a8, 0x40312911, 0xcb98cf34,
+    0x5a41dec9, 0x8c1fb047, 0x276a698a, 0x31afc568, 0x88d98196, 0x3f74a79d, 0xc8b80588, 0x359cf225,
+    0x314f1190, 0xc563f3f5, 0x458834f5, 0x3981d4ca, 0x0590b203, 0xf86e566f, 0x742f68ef, 0xb646efc3,
+    0x00000000 }, /* 10**00000000000000000000000000000000025822498780869085896559191720030118743297057\
+                         92829223512830659356540647622016841194629645353280137831435903171972747493376 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8,
+    0xabfc6f67, 0x5a9d236d, 0x590105cf, 0x0b3a0cca, 0x1fbd3baa, 0x3e747c49, 0x7d56c75a, 0x17ac286a,
+    0x00000000,
+    0xe8940dd1, 0x9025ca3c, 0xa7a54fcf, 0x6a3b7f95, 0x28ff147e, 0x833682c8, 0x6911193f, 0xfc3091b9,
+    0x48bfc982, 0xca980529, 0x4ceb54e8, 0x48210bf7, 0x34e5621c, 0x92907417, 0xd1351856, 0xfadb73f6,
+    0xdda274fa, 0x76985829, 0x0b0bd3a8, 0xef520916, 0xaf0018d5, 0xb21b20b5, 0x4dd69e4b, 0xd972de19,
+    0x587742d6, 0x5f414767, 0x1aeebb58, 0x0761c2a6, 0x545cf30f, 0x1dc08eb5, 0x09c9f0b7, 0xb7dcb31f,
+    0x5a6139f2, 0xa9867066, 0xb660d453, 0xb2f75a87, 0xa4e0b8f5, 0x99cea923, 0xece49251, 0x993b8dca,
+    0x085aa7d0, 0xa0e6af54, 0xba3a2552, 0x7ecb4df6, 0x11f5f457, 0x1a195a64, 0xad07a3be, 0xa343bc96,
+    0xde6ade69, 0x3389bf19, 0x48f75bb7, 0x1d9dd6f1, 0x25a71dd5, 0x5c3f4702, 0x470a683d, 0x57627768,
+    0x2331bb2b, 0xa4c4b06c, 0x844feab3, 0x420687e6, 0x08e62cf5, 0xbc7848d9, 0x5a888b07, 0x8292cd03,
+    0xa79b883f, 0x15f97c4c, 0xc126f1f5, 0x54f69b9b, 0xe041a213, 0xc5333c86, 0xda18c9f9, 0xae18cd66,
+    0x65e3108b, 0xe5bfea6d, 0x529c3799, 0x122f7384, 0xa1d0f17e, 0x03b23bbc, 0x50768467, 0x67ca9550,
+    0xf4eca091, 0x834a1ae3, 0x4f0d85ae, 0x2ccd5c09, 0xefb26c5a, 0xee9caaaa, 0x77d18e89, 0xad053c91,
+    0x482f5cb7, 0x8106caf1, 0xcc77544d, 0x87572d19, 0x3bd3d992, 0xace0c6c7, 0x275c926d, 0xbbd909fd,
+    0x54ded2fd, 0xf41ce92e, 0x78465e93, 0xe33e3fcb, 0xb98e95f6, 0x914f9eb4, 0x38ff5a05, 0x4b226594,
+    0x75a04676, 0xb78dd641, 0x8261d6af, 0x457062ef, 0xc8fdeefe, 0x6f6e97b7, 0x53810569, 0x71e8b8a8,
+    0x3bb41cd9, 0xf073c329, 0x6cb25f81, 0xb47e7abd, 0x6f7f1771, 0x84ca767d, 0xd8b6ed10, 0x9114ad37,
+    0x30258af1, 0xa18e1c5d, 0x1bc41ee1, 0x52d54d28, 0x3bab6cce, 0x9076dbdd, 0x5fafeefa, 0xb12c46aa,
+    0xf0b538fc, 0x17edc04f, 0x65de83d2, 0xa3f6ca1b, 0x2dcf163a, 0x8989383a, 0x2e43fcbc, 0x7bb5590f,
+    0x33c5c5ba, 0x40e41c7b, 0x2dea174b, 0xb8d71e86, 0x4e1ca098, 0xcd1336ee, 0x272c6736, 0x284f70b8,
+    0x2f0b4ba6, 0xe5c11f24, 0xf6f09f8d, 0x5595aaec, 0xc3430119, 0x137bdf6d, 0xae333218, 0xe3b58f36,
+    0x5176a22b, 0xd52a076b, 0xd7ac5cba, 0xf09ef9e0, 0x7096f17e, 0x5259a0ae, 0x3d36856b, 0x3915ac29,
+    0x60588b82, 0x7dda9153, 0xb874e455, 0x060f64b5, 0x1c8c825a, 0xd438d292, 0x14601577, 0x3ae09365,
+    0x4e1f0cef, 0xf6f6216f, 0x1d8993e5, 0x410de485, 0xac969e1f, 0xa1a27362, 0x0c755533, 0xee339b2e,
+    0xa17ad2a3, 0xa7325452, 0x68ef6098, 0x3738ceba, 0x0842a209, 0x56a3598e, 0xeb33d30d, 0x6618677a,
+    0xb9577f2e, 0x77a30c5b, 0xca7cb4bf, 0xc1cc9f9f, 0xa86402c8, 0x45c6681c, 0xb2bf14c9, 0x3e6ba255,
+    0x9335a6d0, 0x8f5c6ff7, 0xff44354e, 0x783a3f3a, 0x4c072ae3, 0x5b657416, 0xd634ac22, 0xd3de743a,
+    0xb4f5ef4a, 0xc78f9a5e, 0xee6d34a5, 0x9a059e23, 0x1b1d2c26, 0x2ba99068, 0xf8c6188d, 0x60c86b08,
+    0x2e03dc21, 0xf22024d3, 0x3b9c4069, 0x2a993a3b, 0xc7fc680b, 0x32fd2693, 0xd7ddff69, 0x34d52280,
+    0x9b0a9325, 0xe19b9440, 0xe9f446ea, 0x2f3b6218, 0xe5fddc08, 0xc389d764, 0x645c6f1f, 0xfe440cad,
+    0xe1861e21, 0x4135a1f6, 0xc3821029, 0x86e81e2e, 0x3392dd75, 0x074ce180, 0x9b36bea8, 0x2dad6c71,
+    0x3b9d3412, 0x938866c0, 0xc8b4785f, 0x1f8fff1e, 0x908c273c, 0x6fdd61c1, 0x55444201, 0xf96dbc09,
+    0x99a4a0d4, 0xbe3066cb, 0x69bdd98c, 0x4f2f2cbe, 0x8c7cc0f3, 0xb19fe5b5, 0xf06623e6, 0x300c6915,
+    0x2d466d80, 0x0e52d466, 0xe90095de, 0x2761a36e, 0x457c8563, 0x12b630f1, 0xb4bc8e57, 0xc91c02a9,
+    0x0b21a2c2, 0xb068c0e5, 0xdcdd84b7, 0x79a79d57, 0x13b56a43, 0xab115177, 0x6c49e4fb, 0x51667eb0,
+    0xe3dbd94f, 0x05278372, 0xa89f60be, 0xdff314ee, 0x8936d311, 0x88cdf591, 0xd872b816, 0x5cf373d1,
+    0xdd5f1f6b, 0x87a9498f, 0x9c2e35e7, 0xcc96ca8f, 0xf14157c8, 0x5f52cc35, 0xaa8120d6, 0x946cba44,
+    0x3ac4f482, 0x01c03f4a, 0x60418dd8, 0xe14e3257, 0xd2583f2f, 0x204cf443, 0x34cb2d49, 0x1f3bdb87,
+    0x59e31374, 0x8c989f7c, 0x2dbe0363, 0xeba13086, 0xb362a40c, 0x8c513e73, 0x0069cee6, 0x2db794b5,
+    0x2beed414, 0xabffdc66, 0xc198c318, 0x41743e8b, 0x3ac3326b, 0xc4b2302c, 0x6736c26f, 0xa1973fcd,
+    0xc3e9192a, 0x491182c4, 0x1aa5a911, 0x57da36fa, 0x3bcb5e72, 0x1937cb69, 0x1c3b8d5d, 0xe0ef7f91,
+    0x1bf86986, 0x877fcc4f, 0x3dc35659, 0x46b457c0, 0xcddc35cc, 0x2222c57f, 0x08d3d432, 0x715fc830,
+    0x91ae60a2, 0xafeeeb67, 0xe3b0deb7, 0x8a07ee6c, 0xd2d8264e, 0xe7f7247a, 0xe5a9a148, 0xe8dbb308,
+    0xbb987bff, 0xaae67db2, 0x8d23c740, 0xe3b9770b, 0x196e8c11, 0x69e03468, 0x00610080, 0x2320194f,
+    0xe5e7f486, 0xc2894e75, 0x9db1a296, 0xdef2c6bd, 0x83c6ae1e, 0x39d539c8, 0x6511cbfa, 0x17b1527a,
+    0xcb3ec88f, 0x1121535c, 0x249bfe60, 0xaee1627b, 0x66407e3f, 0x7dfac0f0, 0xbad25615, 0xe5675ac3,
+    0x1171b872, 0x6411f272, 0xa60432f1, 0x037e7f12, 0xcf4223c2, 0x3bbc9f7e, 0xeb358b4e, 0xf7dd1ae2,
+    0x8abd4f9a, 0x757acd60, 0x18e066ca, 0x2e982ad4, 0xbf9cb6ac, 0xaed9c046, 0x4eed083c, 0x13a8b204,
+    0x75ff9239, 0xa194d016, 0xbd9d9861, 0x27b82a4a, 0x43745816, 0x076cc0ef, 0x0ec3c4db, 0xf28e9b5c,
+    0x6d0d5970, 0xbf7e8d18, 0x4f2b559e, 0xd1cf11d9, 0x877dc3a1, 0x6afc4802, 0xc71e7643, 0x0c1a4a6f,
+    0xf504756a, 0x903454a0, 0xd9c38634, 0x0ad6d1de, 0x7a8636a4, 0xb6d07d8d, 0xbe540773, 0x2dfd00c5,
+    0xb2cc3dbe, 0x84034634, 0xe92eaec8, 0x0363612e, 0x9ebec9a6, 0x64f3f01d, 0xf260bed9, 0x5185c1a9,
+    0x9b5b4677, 0xe2d340bb, 0xe454ca16, 0x2a646538, 0x99c71140, 0x657c7813, 0x208350da, 0x22ba2b65,
+    0x580473de, 0xb3d38353, 0x3b9fc6cf, 0x121b98f9, 0x5ae32f43, 0x84e14b7c, 0x6d2c61a4, 0x0c1377ab,
+    0xc6170535, 0x02155f33, 0xe015c2b5, 0xe39d844d, 0x27cfdac1, 0x92fbe37d, 0x1a5edae6, 0x278313eb,
+    0x3ae635f2, 0x704fe4cd, 0x2bc7d7d8, 0xd89432b5, 0xda625cd3, 0xbfb9e774, 0x40b5e619, 0x6c033e4c,
+    0x68428850, 0x5869a7f9, 0x3c72cf57, 0xa4cdb46d, 0x3817715c, 0x213a3faf, 0x85033ed6, 0x041d3c7e,
+    0xab8ea39e, 0xf9dbceac, 0x27e8e802, 0xa8d76f99, 0xcf5104a0, 0xb04f45dd, 0xe9fcff01, 0x5244617c,
+    0x79b0770a, 0xbc92d0f2, 0xb03acbcf, 0x8e6f26e1, 0xd0923a2f, 0x23107112, 0xa214dbb2, 0x4bbcaf08,
+    0xfeaf199f, 0xe6196791, 0x0a091f81, 0xe2ba95de, 0x6ad8555f, 0x5be46876, 0xad6bbd47, 0x104a627c,
+    0xecd4456a, 0xe946076b, 0x87264a37, 0xdf0d1005, 0x4672ac0d, 0x643cf9fa, 0x1bf7d8d3, 0x3ef8c952,
+    0x91cccc91, 0x6f4957cb, 0xa7368a2a, 0xe1f37154, 0x1a2aed5b, 0x28448199, 0x0a72e9e4, 0xb445b12c,
+    0xf6e069a8, 0x27dd9336, 0x71c76d33, 0x2d90180b, 0xdba60138, 0xcc870373, 0x1c2dcd93, 0x23cc6929,
+    0xb7049dc6, 0xc0d7fa1c, 0xae31e19d, 0xb9870517, 0xba01f92c, 0xd94dc030, 0xfc6af08e, 0x7e02298c,
+    0x7e5406be, 0x342271e5, 0xf729ab55, 0xdb5896e6, 0xf691012d, 0x427ca322, 0xe8cf0401, 0x1163af66,
+    0x952e3bbf, 0xe98fb411, 0x5ff2fc74, 0x81b3c9a4, 0xe9abf9a0, 0x2f6a35b0, 0x5de231e1, 0xe7add949,
+    0x4750cb9a, 0x8703df67, 0x38cf8c4b, 0xafb37152, 0xc68e5e9e, 0x75726096, 0x4f323f7b, 0x86790daf,
+    0x60ac5147, 0x250173a3, 0xae76cf08, 0x6a194c3c, 0xda83ae3e, 0xfcc542d5, 0xb73f46a9, 0x039844d0,
+    0xbacdf633, 0xb66a6296, 0xb2bf0265, 0x404938aa, 0xea6210bd, 0x39e8bd90, 0x08f2cf44, 0x6b505dd6,
+    0x9521bb96, 0xe73deb2f, 0x3cf0628f, 0x6d11e436, 0xc5d25fc0, 0xc0d03196, 0x439c241e, 0x16fac6c7,
+    0x4bbb42a8, 0x2a56d596, 0x0ad174a6, 0xb08f97be, 0xe36b7498, 0x160e729f, 0xdbede816, 0x85db254a,
+    0x64eb99b7, 0x6a4481fa, 0xcb00d387, 0x8fa19e67, 0x463bd67f, 0x3900daa9, 0x2c1fbb6e, 0xe0668902,
+    0x5053750d, 0x42a55d9a, 0x7778a5dc, 0x9feb234c, 0x28a3203e, 0x8e5cff11, 0x3f0e36b7, 0xdb0a2e7a,
+    0xfffce943, 0x4b9f870e, 0x37c32d6b, 0xf6c47bac, 0x0bfeb5d4, 0xfe7a723d, 0x291959e4, 0x7da4a5d9,
+    0x8b09efc2, 0xfcfbed18, 0x65a1785a, 0xf9ceb5cf, 0x1b51d85e, 0xd78c51c7, 0x8549eb8d, 0x17bb6b5a,
+    0x1434710a, 0xc998b7a3, 0xa9f730b9, 0x53e570cc, 0xb598cc88, 0xd57f4794, 0x49b46cd2, 0x069dbfa5,
+    0xea6f210a, 0x8d16ef2d, 0x4d2d5f74, 0xe5282693, 0xb20a7b24, 0x5ed943de, 0x20c0a203, 0x16ee3ca8,
+    0xd39c2e37, 0x601bfc45, 0xeb712f5c, 0xc7249e4c, 0xd1bd7901, 0x708a8fb9, 0x2aecf85e, 0xd9e98a54,
+    0xb0bfb387, 0xe251bac7, 0x76a28c30, 0xf1b2800a, 0xc6042cf4, 0xe74230c9, 0xd044fbfe, 0xd98e9a00,
+    0xbb3fdf1a, 0x04e892f7, 0x57211505, 0x0dc4f25e, 0x8322fe1b, 0x26a0055c, 0x82a0a7f8, 0x382704a5,
+    0xed7017d6, 0x728e0036, 0xdd423a7d, 0x791dba56, 0x984d549a, 0xfce76c95, 0x0ad44b4e, 0xc34ab34c,
+    0x089ae29e, 0x0ddd0e01, 0x69f17727, 0x88dbefd1, 0x5ff1de99, 0x2eb1a69a, 0xa9716163, 0xf8a1a35f,
+    0x9464367f, 0x619d4064, 0x0266f524, 0xc3e860b2, 0x7fe462a6, 0x167b27d4, 0xd57e48a8, 0x76b1edbc,
+    0x37ecdaec, 0x537d43a0, 0x3280a317, 0x877a0c82, 0xdc5435e8, 0x2c4faa26, 0x5b4c5c1b, 0x62f42bba,
+    0xffe63746, 0x5489651a, 0xf95a48f7, 0xa3e6e3c6, 0x2bb713e6, 0xb60a5536, 0xe2ddb13f, 0x55cecd18,
+    0x2c736dd3, 0xfd2be8c1, 0x680c282a, 0x8d493ba2, 0x671cf60f, 0x95f02d38, 0xab74727b, 0x492bc192,
+    0x182fc075, 0x05154985, 0x9db924d9, 0xa11a7630, 0x34062bfa, 0xf0308fb6, 0xb8ff2fc4, 0x5dd3487d,
+    0xbb61f761, 0xb29cad42, 0xe6292de9, 0xf261cdd6, 0x1ff470a6, 0x7ed43623, 0xe242c2e0, 0x1bb9ca09,
+    0x126c8852, 0xd3efe834, 0x5a0e2d3a, 0x989dfd31, 0xb6400289, 0x95427382, 0xdd1b8ec3, 0xf2303a4d,
+    0x01690f5e, 0x837eaa09, 0x690176af, 0x9720eec7, 0xff101beb, 0x57e8d08f, 0xd6e15ba9, 0x4f2a1984,
+    0xe3ced431, 0x8e1b39a0, 0x9c79cd11, 0xee88f72e, 0xe8984976, 0x8fe738b0, 0x713e0228, 0x7eefd2a7,
+    0xf1c68325, 0xe39ed330, 0xaa3b9c7a, 0xcbce3372, 0xbfc78485, 0xbe4c90d1, 0x2c28a3c5, 0x3837e48a,
+    0x3e1eccab, 0x2c758746, 0x4eb02987, 0x93daa065, 0x0a7df5a1, 0x9feaa599, 0x0c8652a0, 0x8e1c6f74,
+    0x23e6f3fb, 0x5c08cd02, 0xb3b0bdd6, 0xa6e9a3d0, 0xc8162279, 0x4f6f5e99, 0xa53bed3d, 0xf9e2ce4f,
+    0xc0e049de, 0x1e3e3069, 0x46f2c7dd, 0x2a8b2eda, 0xbaf32bdb, 0xfab7d042, 0xefa3c54b, 0xeafc4cb6,
+    0xe53584ca, 0xeae06fe3, 0x78421357, 0x21c0a6f4, 0xfab8e231, 0x4932ea10, 0xb1b2459a, 0x9c587cbb,
+    0x95db4c02, 0xe24a811d, 0x90d2d29f, 0xe784109c, 0xe2e86916, 0x48ea7a8c, 0x9fc74f5a, 0x3b3c3f9e,
+    0xf3841300, 0x541ba443, 0xb295d4c3, 0x3fac03e4, 0x6a25cb76, 0x92d51231, 0xd0e0898d, 0x45a9d325,
+    0x59c759ab, 0x04219ea1, 0xc3be371c, 0xb7bd70b1, 0xcb3747c6, 0x8faca684, 0x9c298eec, 0xfa973489,
+    0x8b00644c, 0x2d294f66, 0xe71be8d0, 0x85bffab2, 0xce8178bf, 0xb190ad3f, 0x3ec28d99, 0x7149f85f,
+    0x4e311f90, 0x7bfe3586, 0x0dfc6653, 0xd9992789, 0x13dcf96a, 0xff2190a9, 0x6edf2770, 0x3f78635e,
+    0x0cc4c0c2, 0xadb1645c, 0x6e37a7cf, 0x7a14adb7, 0x00bc22e3, 0xce2710c8, 0x1fec3b9b, 0x196a052b,
+    0x18c52c77, 0x465feaf1, 0x926418c3, 0x3df21e35, 0x9ef25284, 0x490bee5f, 0x1747ba9a, 0x50beb89c,
+    0x2ad993ec, 0xb1e33d81, 0x0803f81d, 0x0087f6ad, 0x0824c394, 0xebbaad5b, 0xfc910f05, 0x1bdb6639,
+    0x62e0dd85, 0x485da265, 0x7959ac31, 0xe4a6ffee, 0xcc6c4177, 0x8211fc5d, 0xb016d006, 0x61f3040d,
+    0xe5510efd, 0xebc13ec4, 0x3d07ccf5, 0xb9010d63, 0xeb3ab848, 0x2553c5a0, 0x11d77112, 0x45698514,
+    0x3ee02ea3, 0x6f70d4cc, 0x783a5e85, 0xfbe48003, 0x2c0901d6, 0x2f256fa9, 0x5642c7f8, 0xe49f6d1f,
+    0xe5acc630, 0x9d710560, 0x5f3966ce, 0xcaf56420, 0xf9d122fb, 0xd2b357ab, 0x63b1ae08, 0x770fdd49,
+    0x6ad30b62, 0xb1913b90, 0xfe1d2866, 0x976b1f7e, 0x4614ee14, 0xea1e2693, 0x36a60420, 0x34567715,
+    0xd24f112d, 0xc2391f51, 0xea41ce91, 0xa11e7e94, 0x87b2ec3f, 0x0210e0e7, 0xfc33658a, 0x072224af,
+    0xd33334aa, 0xf4391b43, 0x985f1799, 0x621df2b1, 0xcd8ac752, 0xe02fddc9, 0x69c52530, 0xc106d360,
+    0xc6da3bca, 0x60a8010c, 0xa68659cf, 0x0282430a, 0x7ad58d79, 0x77ea5e38, 0x6a0795fb, 0x81da47b9,
+    0xc93b8671, 0x5140b313, 0x83adfa37, 0xc21fc4a1, 0x9e3caa43, 0x88f73658, 0x0c8f2cd0, 0xe9fc0f9f,
+    0xed6e9488, 0xba4719b0, 0x420f1dc7, 0x0b1e80e9, 0x17faa9ec, 0xfc4485ee, 0xec95a2df, 0x94f933bb,
+    0xa9828f10, 0x975738ca, 0xb1b3f4af, 0x478a1ce1, 0xfa395d4c, 0xa65633b5, 0xf8537910, 0xb193e533,
+    0x81564294, 0x3b9f2642, 0x8da04484, 0x85c8d5a3, 0x0c0a108b, 0x00a71363, 0x60b20669, 0x862496eb,
+    0xf4c149b5, 0x2c1218c1, 0xd9132a34, 0xa7523a5a, 0x17984277, 0xe40c4dcc, 0xb1763d32, 0x693eb0d5,
+    0xddfe7dd6, 0x86585865, 0xa244f6ee, 0xbdd79fac, 0x53decf7f, 0x24c33849, 0xdeb6f8bb, 0x827149d4,
+    0xc5a95dfd, 0xb07c6be8, 0x5224b379, 0x9f092af5, 0x6317194f, 0x8fadafc8, 0x1b6ffd52, 0x6065cfcd,
+    0x65bb6a7e, 0x3ea2a0b1, 0x3bc4369a, 0xe453da87, 0x7aa391a5, 0x26cfe58c, 0xc07b3a47, 0x2fae9187,
+    0x49c0fb52, 0x09eeb123, 0xd390135e, 0x4b4247a7, 0x5fc231a9, 0xcb85ab08, 0xe7571e6d, 0x8d0ffb02,
+    0x2bd8d819, 0xc38f24fe, 0x9eccc877, 0xc2e88f75, 0x1067397d, 0x171b35ca, 0x1f0600f2, 0x4b83bc3e,
+    0x29a457bf, 0x80be6a21, 0x4470e53d, 0x87e6144e, 0x3a8410be, 0x55938894, 0xdf52ebf7, 0xd08735b0,
+    0x10b73cd8, 0xc3ff2750, 0x087b48cd, 0xde1c1ce0, 0xb16b17ef, 0x2ad55d74, 0xcf3bbacb, 0x48531792,
+    0x07f5b5eb, 0xb87261e3, 0x6453d442, 0x3151ea1a, 0x5ba59c58, 0x0cb090ea, 0x7bca7c77, 0x74561876,
+    0xf315d055, 0xd0c81b6e, 0x8e57b561, 0x4debc055, 0x92591975, 0x9a3b9839, 0xaa2012c4, 0x691dbc19,
+    0xfaf4106f, 0x68cf6e3e, 0x2f92674e, 0x20997818, 0x3d2f61b6, 0x8ceb00eb, 0x480ef16b, 0xcc024d68,
+    0xaafcdccd, 0x6324d1dc, 0x169d0940, 0x157680b4, 0x9a9d7b3d, 0x9abd7e95, 0xac46ccd0, 0xba0f5700,
+    0x00000000 }, /* 10**00000000000000000000000000000000012911249390434542948279595860015059371648528\
+                         96414611756415329678270323811008420597314822676640068915717951585986373746688 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c,
+    0x55fe37b3, 0xad4e91b6, 0xac8082e7, 0x859d0665, 0x0fde9dd5, 0x1f3a3e24, 0xbeab63ad, 0x0bd61434,
+    0x00000000,
+    0xf402206b, 0x8fed5d09, 0x90356ea3, 0x83870a9d, 0x1a30fd85, 0xbbc6b54b, 0xed3beb94, 0x7ed25498,
+    0xe7089c6a, 0xdb55e382, 0xbbaed6c7, 0x226dbb68, 0xbeecde7a, 0x8cf4d154, 0x7f8d2a39, 0x71bf367b,
+    0x8024ba54, 0xd4d15ce5, 0x8c6632e8, 0x25f68742, 0x56030b47, 0xd79e6868, 0x0f5f01b0, 0xe846fa1d,
+    0xfe56519b, 0x3b4eb2a1, 0xbe089c09, 0x328052c8, 0xe6e26a28, 0x902f2c67, 0xc6823a55, 0x0a00fcea,
+    0xc6d8e83c, 0xbb75e27c, 0xa686f74a, 0xf4f0f241, 0xbc9f8fd6, 0x34d63e3c, 0x368ce4d7, 0xa260e09f,
+    0xb8398c37, 0x64091012, 0xe24230c6, 0x707a67f5, 0xed16b382, 0x99f5f65f, 0x88f84686, 0x291517b1,
+    0x6c28ca03, 0x99192fb6, 0xdda8c33d, 0x3d626519, 0x69813110, 0x972bcd80, 0x69a29abd, 0x4fe84c77,
+    0x862e3608, 0xa345df09, 0x5b194dad, 0x97f64c67, 0x9a48c8d8, 0xc54a4bd0, 0x5645aebf, 0x678ad797,
+    0x5ccaecba, 0x604e70bf, 0xad18d02b, 0x959a7c6e, 0x88403abc, 0x59a40f64, 0x17e12ade, 0x4acf29c8,
+    0xe1dba924, 0xdc2e27e8, 0x62211cb4, 0x29ded750, 0x74d54925, 0xe6a72fcd, 0x409eae3c, 0x1b1e8d7d,
+    0xff238526, 0xd789d6c2, 0x29da972d, 0x57f8d74b, 0xc1802f65, 0xd5d977ad, 0x88ae4158, 0xd20fe8d7,
+    0x3d52cbd4, 0xff22fea5, 0x899c5994, 0x97822c76, 0x0212d1ea, 0xaf1d9954, 0x74c792b1, 0xb77057ad,
+    0x7fef63c4, 0x8f3110b5, 0xa0ee8468, 0x68d426a5, 0x2395b43b, 0x784bc00c, 0x34b448a2, 0x43e0fc04,
+    0x8cffb232, 0x85bb52e7, 0x08593b0c, 0xc43b799e, 0x0848b43f, 0x6e6fa34b, 0x3324be5f, 0xe2e8ec08,
+    0x25704171, 0x3b5fe125, 0x8fe6949c, 0x993fb5c8, 0x1b2b4b75, 0xa7319dc9, 0xbf58219f, 0x7cde6073,
+    0x0b0a2919, 0xc270dcd1, 0x6cbf655a, 0x99818342, 0x6a0cf4e7, 0x23d4afce, 0xda7de019, 0x66ba8654,
+    0xeac16348, 0x3a1efeaa, 0xbc4d62de, 0x9404ab7a, 0x1d050e61, 0x4417f898, 0x509b475c, 0xb178c169,
+    0xa06a2a3c, 0x45c87a27, 0x8fe4a6ce, 0x4ce81df2, 0xab8e73d0, 0xf9939ca2, 0x1943e40f, 0x5a030d1c,
+    0x563cc5b2, 0x013cd198, 0xea69f336, 0xda97b67e, 0xe152851b, 0x6f901776, 0xd019cea6, 0x0c4655cb,
+    0x422eed44, 0x2e24f2d3, 0xf6f67fae, 0x3c7a3650, 0x2ae329b3, 0xbbb19c47, 0x52c889c7, 0xc90eeb93,
+    0x6b4b2e81, 0x5fecfd57, 0x31a11b10, 0x09f008d3, 0x4eef570e, 0x896f0e20, 0xfdd4c681, 0x2baffde6,
+    0xe1b2be2e, 0x09f136fa, 0x13d5ad27, 0x764308b6, 0x1e9e9176, 0xdfb18ebc, 0xdb99fc1e, 0x1893b8da,
+    0x0379b2b9, 0x7fa91c61, 0x9aebeb95, 0x9085ef76, 0xe4b921f4, 0xe0831f43, 0x358238f4, 0x584081d4,
+    0xd5630fcf, 0x5a8e9aef, 0x3ccf4aa9, 0x750bb550, 0x9f7612e4, 0x02e4a4bb, 0xdc5818f0, 0x677ef595,
+    0x4fa884cb, 0x91ba0c7c, 0xb4ee2831, 0x3e642377, 0x3f226995, 0x01d45af0, 0xa4a99526, 0x40d77b39,
+    0x4cd4096c, 0x9e75036b, 0xad3bfec5, 0xa3a0550e, 0x859d1966, 0x6970d7c2, 0x8faa6d29, 0x956973e5,
+    0x35dc3afa, 0x706ff88f, 0xe5046313, 0xa7fc6554, 0x67ed1fa0, 0x04bdff2f, 0x7476a4b0, 0x2e065476,
+    0x6a2c5cbf, 0xcde4b071, 0xc2b6fb86, 0x975250ee, 0xfdd60bf0, 0x766139f3, 0xcbfc4d42, 0x89db72f7,
+    0x8445e47b, 0x9d495e0b, 0xfc8b98df, 0xb49599ce, 0xc408eecb, 0xca293ebe, 0x723cebb1, 0xad478e65,
+    0xad0bad4b, 0xe7aee0fe, 0xeaff8bd4, 0x5d4d5d82, 0x407dd1de, 0x36f293df, 0x79893634, 0x6ee8db23,
+    0x27e37010, 0x4e1bb1c1, 0x754fa892, 0x50a7b7ee, 0x63ef914d, 0x43df6311, 0x8cb26f92, 0x8d728484,
+    0xb1493649, 0x4670e5d9, 0xaea04861, 0xdde04b8c, 0x66976785, 0x44b0a7c0, 0xf98c5444, 0x552a973c,
+    0x57f38f69, 0xca835575, 0xbf21bdcc, 0xf10d1f17, 0x851b006b, 0x31d132c3, 0xb30d8b85, 0xb4b9be22,
+    0x7b67352c, 0x782d1fbb, 0xd51243e5, 0xa42026fe, 0xf68f59f3, 0xbae5dc20, 0xbdee4357, 0x65b9d3b1,
+    0x1d1165ad, 0x8de18bb3, 0xbe2a562b, 0x66d76275, 0xe59a5174, 0xd5b9e7b3, 0x97f99b7e, 0xb9cc9489,
+    0xcafb11bc, 0x3f0108cd, 0x0a0c3a99, 0x85a4ee16, 0xeab7b8c0, 0x16b3d36b, 0x908a5337, 0xf9981a68,
+    0x48dc3fd8, 0x4a1b6448, 0x6ac26577, 0xe79d8b4f, 0x9d198997, 0xa1747224, 0xa25dc82e, 0xc71e10cd,
+    0x12603533, 0xf364c0ae, 0x54fb67d6, 0x83dd0234, 0xb5b874de, 0x04c42c76, 0x46f4955a, 0x082f3635,
+    0x22742a4f, 0x6689b78a, 0xe912b73d, 0x1dc22acf, 0x29e61906, 0x86e2f77c, 0x39d85bbd, 0xf1edbede,
+    0x78789bb0, 0x768599fc, 0x625a264e, 0x0bf4255d, 0x7a4b7fa9, 0xe877f6e9, 0xa147b9f4, 0x4db64ee7,
+    0x6f37cf79, 0xfe0b9441, 0xa9fa7152, 0x4e104268, 0xce64251f, 0x62cc1950, 0x68d51c2a, 0xd5438cba,
+    0x928a1e10, 0xd82993a4, 0x5d033218, 0xe05f7d4c, 0x25d41a8a, 0x6aa763b5, 0x3e0dd61f, 0x56bd604d,
+    0xdec43204, 0xa608b41a, 0xb5f0a8e6, 0x0050cacd, 0x78c66c37, 0xcb11a575, 0x7c3d0af2, 0xefb0c610,
+    0xf45e5633, 0xf84c9213, 0x8dae609f, 0x4f4d71e9, 0x6da5885c, 0xd8b24ab9, 0x253fc04e, 0x6d3eb8f0,
+    0xd0e47ce0, 0x2fa5e701, 0x6db4d48c, 0xd16352d6, 0x1dff4f4b, 0x9cbcfe78, 0x3de35621, 0x2d680834,
+    0x8b4465e2, 0xae8108fe, 0x15083fd6, 0xcfdb224c, 0x683536b5, 0x0a47700c, 0x7aa2c3b4, 0x9692c6ae,
+    0x6be495fa, 0xaecb146d, 0xce892276, 0x0492001c, 0xdc94a675, 0x4743246a, 0xf8c1f302, 0x35c00d8a,
+    0xa8269d47, 0x776bc7b9, 0x78f7aef4, 0x7bcfa4e7, 0x3a1a5410, 0xe59ff19f, 0x0b47eeb2, 0xec2b333e,
+    0x18daf77e, 0x68c11a1b, 0xe60e9425, 0xf2d3b26e, 0x8e601653, 0x9708580b, 0x359d7b4e, 0xc8cb7016,
+    0x40bae6cc, 0x52fadc90, 0xc76ff50f, 0x547ca91a, 0x412b20b4, 0x434e6438, 0xef18a16e, 0x9cf2b4ab,
+    0x9c3ea679, 0x52bfa798, 0x5008faeb, 0x9ab73611, 0xf31735cf, 0x0af18b76, 0x0f043ec3, 0xbded3062,
+    0xd601d74d, 0xf46125de, 0x91b88127, 0xe1a92353, 0xad2b5185, 0x1538fecc, 0x01251c57, 0x699d8f23,
+    0x4bef370f, 0xa0038f7a, 0xf19c1742, 0x4cfd9db5, 0xc4c97dc6, 0x39d6af7d, 0xd401bd2a, 0x81b60f58,
+    0x5f78f56f, 0x24a853a8, 0x7c940687, 0x22ff507f, 0xa66d9903, 0x055a67ab, 0xf2e0c785, 0x8eb7ff38,
+    0xdb7df803, 0x7c9c5415, 0x10962f24, 0x970b79e9, 0x70b56757, 0xce33bb2b, 0x9d39aa46, 0xa3e65610,
+    0x1b2b453a, 0x707e8a4c, 0xe81d33f1, 0x45fa1254, 0x37c19dde, 0xd02d896d, 0xe25ab93d, 0x609ff88d,
+    0x159ce04b, 0x62b521fd, 0x485875e7, 0x29635db8, 0xe3cb5692, 0xf36409b0, 0xb9df2605, 0x12eeb40b,
+    0x777cdfc8, 0x067100f5, 0x0b52518b, 0xbb144654, 0x7a61ac9f, 0xd51bc340, 0xce8f0dcd, 0xf61c931c,
+    0x5c06753c, 0xff4bf3f6, 0x298840d2, 0xeb58c2c2, 0xdf8e3cba, 0xc5412243, 0x7a61cde1, 0xa01bac67,
+    0xbe0300e8, 0x25615927, 0x2d12d0cb, 0x007075f1, 0x5b7cc255, 0x71a5c9c9, 0x74de412e, 0x7f359122,
+    0xd04a1c0a, 0x9f2381ac, 0x1e6e5cb8, 0xfbedcd0b, 0x717ebad7, 0x8805bc77, 0x50aca20e, 0xf4f9c475,
+    0x0328ce91, 0xf716b42a, 0xcc5ea1d8, 0x85c8f213, 0xd355f13e, 0x04fd8213, 0x43a09d7f, 0xf4fde1cf,
+    0xd06dd74b, 0x4960d45d, 0x4a96b28b, 0x4de2fe9c, 0x1d414ad6, 0x46f6f8fc, 0x96c75f97, 0x09bd60ae,
+    0xeed84a78, 0x109b8b96, 0xb00ff909, 0x44fa0cb3, 0xe3fdcc0d, 0x6c546750, 0x784101d4, 0xbebff8cb,
+    0xd837d6b3, 0xfbdadfc0, 0x1f4f75dd, 0xa6f48862, 0x4662d740, 0xbb424113, 0x239a9f0d, 0x34b54e4e,
+    0x2acf53e5, 0x454fda2f, 0x2a50a3cd, 0x88d08d0f, 0xa241b379, 0xbbe74e87, 0x2739a8b8, 0x6c67cd57,
+    0x95666063, 0x9e97bc34, 0x3441cecb, 0xed78780f, 0x21cf5429, 0xd912ea83, 0x6d1efb42, 0x9575b2c3,
+    0xc8eb55dd, 0x002cc768, 0x04bce2a9, 0x595dc91b, 0xd5f6002e, 0xb11c23e8, 0x9b4e58b7, 0x86bb4885,
+    0x4d3875ea, 0x602310f9, 0x447b47b3, 0xbade39f9, 0xaf2f214c, 0x278af55b, 0x21aa0a75, 0x4b2fa18c,
+    0x4536a947, 0xed17f913, 0x96ac8c15, 0x2df96c89, 0xfa605f5b, 0x8530c19e, 0xdda3b84e, 0xeb9baa6f,
+    0xdcffffea, 0x431c6807, 0x9f9f52e2, 0x64193b91, 0x092daf9e, 0xc175bda5, 0x5c0d42fb, 0x511f8567,
+    0xbfa261a4, 0x92706161, 0x5913fbe6, 0xbeb8edc6, 0xfffdb2e8, 0xcc4f7ed2, 0xaa41b961, 0xaa2e8374,
+    0xd872bdf5, 0x5794a573, 0x5cf7ea00, 0x4d1b53d5, 0x8b6a2f75, 0xaf0e357c, 0xb6c50506, 0x117c4dbc,
+    0x1365a812, 0xd127d6c4, 0x207c44c0, 0x427f16e5, 0x78922c39, 0xc67cba6f, 0x471256ab, 0xa41becd4,
+    0x797dd933, 0x9741984c, 0x69798973, 0x4adc0072, 0x698f22b2, 0x7003e94a, 0xf39267a0, 0xf0180792,
+    0xf1f17c61, 0x2a932b8e, 0x3b30ea36, 0x87746ae7, 0x4cb6f486, 0xe860e92e, 0x5b507155, 0x5eb262c9,
+    0xd95f06f5, 0x7c110e71, 0x3b2458c4, 0x5149e469, 0xc3cff89e, 0xba3d5665, 0xf387ebef, 0x99686309,
+    0x29b39edf, 0x20e2ea67, 0x019704e4, 0x6642758f, 0xd7136673, 0xc67e4304, 0x0641de84, 0x63fbcabd,
+    0x1a603222, 0x41d040fc, 0x30b1657d, 0x8403550a, 0x27201737, 0x516db90e, 0x5274e625, 0xf5d40244,
+    0x87b5911a, 0xe4187ebd, 0x72da57e9, 0x0a937c10, 0x0d67ff1d, 0x1a018462, 0x90db5787, 0xfc4f3531,
+    0xb144d20d, 0x715125ec, 0xe2f30a6c, 0x7b0edae0, 0x0c295b02, 0x54b6b525, 0xbdfb7bc3, 0x680db301,
+    0x1b17a1fa, 0xf6798524, 0x7ffcdb00, 0xf7397701, 0xa9e4b05a, 0x0388c87b, 0x7b3adc8a, 0x1ed0b79b,
+    0xf069bcb1, 0xa93fb03c, 0x7e81c767, 0x4a7b3a6b, 0xf5f99a82, 0x85645a0a, 0x46452dd9, 0xfb9f4d44,
+    0x6a7fd85c, 0x0f128727, 0xbb2cae36, 0x726811d6, 0xe69273e0, 0x6ac6566e, 0xa7530c85, 0xdb3c96b4,
+    0xdad2a02e, 0xbc39fb1c, 0x2003efbf, 0x72b590d3, 0xf2e5b059, 0xd73758be, 0x17d57906, 0xebb74e27,
+    0x821a0b7d, 0xe7522f66, 0xd2c9fc77, 0x37ea0158, 0xc315b936, 0x5f6b8e18, 0x663254a2, 0x9f310e13,
+    0x4e44b630, 0xff859ef7, 0xab548f4d, 0x7d3da12c, 0x4cecc747, 0x7ea07729, 0x01558dac, 0x4b8dc5f8,
+    0x80e4069f, 0xdfec0587, 0x44675dc7, 0x926fdc2c, 0x0fd04e3e, 0x8ffe5279, 0xc99a0aaf, 0x0d9f1b6f,
+    0x0b31e25d, 0xf1fe0be9, 0xdb3671a3, 0x82094408, 0xfe45b80b, 0x93ae121f, 0x744266e8, 0x9a7289c3,
+    0xca210b99, 0x9ea7fe13, 0xdfbf2e05, 0x4bcb79f1, 0xadb499a0, 0xc55ee055, 0x1195a6e6, 0x603c2cce,
+    0x0aaf159c, 0x8d760d2f, 0xc4c20573, 0xa7baeb50, 0x40a01982, 0xe47a505d, 0x622e41d8, 0xd634dfc1,
+    0xfa352e4b, 0xa9c6f423, 0x5c944869, 0x53169904, 0xfd9d41a8, 0xf1419e2b, 0x4fe9f394, 0xe5cfb707,
+    0x212d29fa, 0x8d74b1ce, 0xba51934f, 0x767fc233, 0x5179cf09, 0x59de758d, 0xb2f82ec0, 0x5d7cafed,
+    0x1d4de746, 0x474ca6b8, 0x6f6458dc, 0xdd4eb2bb, 0x667533d3, 0x69a529d6, 0x09453e72, 0xbf970adc,
+    0x5fb27e2a, 0x769da052, 0x0ed60735, 0x65a81f42, 0xc7ebcf47, 0xd10f71a4, 0x688c8b7f, 0x9f4ac7ac,
+    0x1b3fc692, 0x9e9d2ca2, 0x9b9ef2ba, 0x82231934, 0x1a5538d2, 0xbb0afae9, 0x23b65b31, 0x5a4e6405,
+    0xbd0f96bb, 0xd3b52795, 0x30b9606d, 0xca13c1ba, 0x97ef6f87, 0xab6dca11, 0xacb5f9e7, 0xd8f2338b,
+    0x5d9117c1, 0x50213411, 0xdc624361, 0xbc60de5a, 0x92eaf117, 0x90c78d50, 0x80e67486, 0x227e681f,
+    0xc40794d6, 0x2c15c923, 0x69b960e1, 0xb8d86349, 0xce3da55b, 0x905d7a43, 0x2f978423, 0x06b69179,
+    0xfc2e0cfa, 0x3261afaa, 0x86f1a8c4, 0xef55ab6d, 0x09ccb7e1, 0x694777cc, 0x474eac28, 0x2d9230bf,
+    0x68e15e28, 0xcab95b97, 0x6757a38c, 0x88440454, 0xafcb59ff, 0xb18ad749, 0x9ea72d77, 0x78a4aab7,
+    0xc7d82390, 0x373a00f3, 0x843d1334, 0x886dbb1f, 0x84e9558b, 0x19e16152, 0x58e4fe55, 0x9c38452c,
+    0x94bd5a57, 0x0c868b27, 0x36fbcddf, 0x8ad78022, 0x337f6a4b, 0xe9d2055f, 0xd35a3f02, 0x27426886,
+    0x07cca225, 0x2de6f14a, 0x89b6618e, 0xdfc46484, 0xb47e64fc, 0xb40fb66e, 0x0466dcda, 0xb7e60d32,
+    0xf7031636, 0x5ce15544, 0xac99a909, 0xd84bf6be, 0x006f47f2, 0x1ae6d06c, 0xfbf55317, 0xe44786ec,
+    0xe38bc017, 0x2cd2beec, 0x5b0e3dbb, 0xc1bfc3f5, 0xf1ec468d, 0xa8d4e152, 0x35d4b392, 0x514ac0fa,
+    0xf6bfe59f, 0xa027ef42, 0x262df2a7, 0xb3804a12, 0xcf21557a, 0xee4902ae, 0xe6a4aebc, 0xeb3c61e3,
+    0x5256893d, 0xf6d3ae20, 0x6a117708, 0x07a1ac2a, 0xcf7144af, 0x19e38c71, 0x27ed6fd8, 0xf65daedc,
+    0x7ae9db20, 0xe4ce9bbe, 0xd5ad10a6, 0xe3aad4bc, 0x6662393c, 0x2274b56f, 0x471ae806, 0x90f04bd4,
+    0x069e5db9, 0x1578f0a9, 0xd94e5523, 0x04d5bdeb, 0x4b1aa8aa, 0xefc8dd0e, 0x19ee29c8, 0xedd39d72,
+    0xf25f5a7d, 0xfc2e1140, 0xb6bdb2f8, 0xf4440f40, 0x9e72b0bc, 0x0e35b3cf, 0x6872377f, 0xb5ee3981,
+    0xd97aae86, 0xfa5a1174, 0xc8a62fee, 0xddb44c08, 0x079bbf8f, 0xd3ce10bd, 0x2f128afe, 0x1d23ed59,
+    0xd9db82ee, 0x980fe469, 0x019a6e96, 0x705f0ac9, 0x86641d37, 0x44011cb7, 0xc48e56c4, 0x5940a149,
+    0x179349ab, 0xb07cafcb, 0xbb3512e6, 0x47321fd1, 0xbabb4401, 0x9eea680e, 0x72501943, 0x2735b65b,
+    0xf7d64318, 0x70d923c9, 0xa645ee51, 0x683140e0, 0xa0b8a12e, 0xa61d678a, 0x2d7b5f73, 0x6416996b,
+    0x5acde329, 0xb7b766df, 0xd9e1f091, 0x82fb2e9a, 0xde013731, 0x5db993eb, 0x4db4e4c9, 0x2cea75e2,
+    0xe355f919, 0xb80705e9, 0xb6cb64da, 0x82128cea, 0xbc72e033, 0x8d53b6e9, 0x07a1a8e0, 0xc304cbb4,
+    0x39d3a5a8, 0x9b36ef46, 0xf406959c, 0x783f7117, 0x73eefde2, 0x9a197f1b, 0x0d19d265, 0x07875de2,
+    0xd98a677a, 0x9fe3c724, 0x8b1a3d9b, 0x57b6348f, 0xecde3b49, 0x36a022ff, 0x4bac6b7a, 0xbf21dd00,
+    0xbcb08429, 0x8ff8ec03, 0x3781a5b6, 0x59ba135e, 0x148d5aa2, 0xb58b0455, 0x3e387454, 0x5e24481d,
+    0xac6f802c, 0x37b39294, 0x5a818b97, 0x16046b3c, 0xb7326115, 0xe70f7945, 0xd7897cfa, 0x1a57c153,
+    0x9b2c3df3, 0x861748d9, 0xaf72caa9, 0x35e90ea2, 0x439618b7, 0x63f23da0, 0x3bae57b8, 0x08621490,
+    0x65ff9a25, 0x0a2f2f1f, 0xddbc3069, 0x4b3ac429, 0x266ae2ae, 0x68cf2f24, 0xc4d77c97, 0x010ed8c1,
+    0xa9e3f45a, 0x6c7b16f6, 0x9325a24c, 0xfaca2990, 0x145a1b22, 0x6d4bb1f6, 0x1ef7bdb3, 0x6fbb0f94,
+    0x92ffa67d, 0x355cf9fe, 0xa9da754b, 0x81140ea0, 0x08c2df6a, 0x81555dff, 0x1487480a, 0xfbdd86a2,
+    0x6756c7de, 0x97277f2a, 0x763e3164, 0xae97b902, 0xc8852ecb, 0xc62605e5, 0xac4390a0, 0xe4b0880e,
+    0x00000000 }, /* 10**00000000000000000000000000000000006455624695217271474139797930007529685824264\
+                         48207305878207664839135161905504210298657411338320034457858975792993186873344 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6,
+    0x2aff1bd9, 0xd6a748db, 0x56404173, 0xc2ce8332, 0x87ef4eea, 0x8f9d1f12, 0x5f55b1d6, 0x85eb0a19,
+    0x00000000,
+    0xf9eea78c, 0xa4e33380, 0xd42f9994, 0x37ee6dd2, 0x0457b3d2, 0xdbe692a3, 0x4ff564a4, 0xfac4576d,
+    0xaa29973e, 0xf4c4fc30, 0x6cea2010, 0xcb7c4cf8, 0x7dab466d, 0x4f76a214, 0x6d11628b, 0x942aeb85,
+    0x91c5c52f, 0xb769e3e3, 0xc4f1c6a5, 0xe4629931, 0x2993899f, 0x0ffa400f, 0xeb0d7b55, 0xf115453c,
+    0x85fca7ef, 0x21386040, 0x5d9e15be, 0x4dfeb5dc, 0x0c13fbdc, 0xbd3deed1, 0x1fe5588a, 0x22563b07,
+    0xc7b574df, 0x5763788b, 0xc7682b52, 0xcec21f75, 0xaea5a199, 0xc56353aa, 0x70805434, 0xf634ced1,
+    0xd1514ab3, 0x627ee560, 0xab745a27, 0xe65156b2, 0x948c45d4, 0x3c18e59d, 0x20027edb, 0xb5ca69f8,
+    0xa23c8a7d, 0x5cb311fb, 0xc8b6d85b, 0x25b27ff0, 0x048c9070, 0xba12ded1, 0xe31a16ac, 0x6d394986,
+    0x711c225c, 0x0704a371, 0x95f986d2, 0xf3d24ef4, 0x3701de61, 0x67e50841, 0x3b40d661, 0xcfe8479b,
+    0x53285b9c, 0xe504906b, 0x35994967, 0xaef8f95f, 0xd2ae9ee2, 0xbc936606, 0x15585f24, 0x9ecdf0a9,
+    0x9ce5d883, 0x2b844f7a, 0x725abe7a, 0x94686859, 0xe3c697c8, 0x6a98f28c, 0x8374332c, 0xcee279d1,
+    0x1a3ea58b, 0x83857822, 0x5e86a19d, 0xda8c6652, 0x5d462701, 0x16c31584, 0x542e9e64, 0xf2517e0b,
+    0xeff71cfe, 0xc5339ed9, 0x0372365f, 0xde09d566, 0x10ed28f6, 0x9f2ba4a3, 0x3960d7ba, 0x1f7e63fd,
+    0x9cd884cc, 0x29f1b61b, 0xe4c9a1e2, 0x98916806, 0xdea2477e, 0x1ddcdc85, 0xd7923a5b, 0x2e690d40,
+    0x966ac610, 0x35541c9d, 0xd9888395, 0xd7f9791b, 0x82885ba1, 0xd97ff354, 0xd25370af, 0xa69696df,
+    0xd3d0002e, 0x255a9f41, 0x9e7e3656, 0xcc409cb1, 0x83101783, 0x2ea2d172, 0x65db6d12, 0x7f6f4264,
+    0x3df7e4fd, 0xd1bbb9c4, 0x3a621314, 0xd4279a7e, 0x3dba0523, 0xa04d44df, 0xfb1871a0, 0x0fdfbd83,
+    0xc55bab82, 0x6004cbd4, 0x3df502f2, 0xf4798f3d, 0x0b1fedba, 0x9e6a1d08, 0xd8fd58db, 0xf4e238a0,
+    0x75dd6a83, 0xa1b1f26f, 0x384856db, 0x4434bfba, 0x3ce25602, 0x5a4ec460, 0xd2c20b7f, 0xc10bd5ae,
+    0x05d4610d, 0x6379cd29, 0x5a731a3a, 0xf92a1e28, 0x0cfb8508, 0x3ec37c8c, 0x01bab330, 0x3aec13c6,
+    0xa886eb6d, 0x9d3f1ea9, 0xe49ee0c7, 0x3d638bc3, 0x34290d83, 0xaf04e599, 0xc0caac37, 0x87fd744a,
+    0xce5cc992, 0xa2570384, 0xd4551e63, 0x1ca278df, 0x6e97ba1b, 0x2a802d6f, 0xdefedeba, 0x338bed4e,
+    0x58866966, 0x18dba1df, 0x8369bc79, 0x328310cf, 0x32261cf2, 0x84ad8456, 0x6fa33266, 0x9f6e1c88,
+    0x02fb7eda, 0xc9231a78, 0x0137b6e0, 0x5ce5993e, 0x400d50c4, 0x62f11fae, 0xa90ade95, 0x69f7b555,
+    0xe46ad2e6, 0x882a3311, 0x3eca4e17, 0x1e8f9b75, 0xdf70d9c3, 0xada287c1, 0xa29af0c3, 0x7f7ee707,
+    0x6fff3a87, 0xc88e37ec, 0xad558a4e, 0xe8af47b6, 0x8733f925, 0xc001cef4, 0x20f9276d, 0xce26e298,
+    0xa05c4637, 0xc1fb8cf8, 0x16e69d12, 0xbd564b97, 0xabc1d765, 0x1cbdbed7, 0xcc14e013, 0xa04b3910,
+    0x8dd773e2, 0xf9fb7e3f, 0x28f5c33a, 0x34125c53, 0x3c02c577, 0xa63b8625, 0xd7c9d871, 0x172b33ea,
+    0x0aaf74c0, 0xbe43d58a, 0x3229b126, 0x42de3f6c, 0x112b4e58, 0x87f9a4d1, 0x97faedda, 0x27ddc723,
+    0xe073bb88, 0x71ddef87, 0xa0f183a0, 0xdaceee2e, 0x4ea15a8b, 0xbf5146bc, 0x357f66b7, 0xf2132bce,
+    0xf0629e4e, 0x05f7a445, 0x678e0c7f, 0x927b1d32, 0x67d7b02d, 0x280f107c, 0x59273463, 0x9ff7039d,
+    0x54ab9a26, 0xba716b1a, 0x8cc659a4, 0x7151e7ea, 0xd0c795a9, 0x0d0a8b91, 0x0e96c287, 0x75ecba84,
+    0xeb6df875, 0xf6a66cbc, 0x81cfb082, 0x8e92aeee, 0xe4474443, 0x60329794, 0xf7fd61ae, 0x5a4a8b5b,
+    0xd78dfd62, 0x6f04a8b6, 0x98a8ad11, 0xdc6403cf, 0xe42b83e7, 0x0c678fdc, 0xd08dc827, 0x73ff1cf9,
+    0x7ee82370, 0x647b394b, 0x1ef66301, 0x96327f5a, 0x40b9b440, 0x10644b9d, 0x9ff3cdd3, 0x0ec86950,
+    0xfff554d5, 0x84aafc98, 0x99b3ec8e, 0x697dabb6, 0x7ab8f519, 0x5d55c6d5, 0x9066dc84, 0x4c2cb46c,
+    0x8c078182, 0x1637ccb4, 0xd37b0b0e, 0x63966fe3, 0xd233438c, 0x9ac1589d, 0xb4d67e48, 0x36c1f001,
+    0xeeb7e289, 0x82ee3a4a, 0x87904200, 0x7ee15b74, 0x15c7a4ce, 0x66a4b129, 0x99b952e1, 0x436b5cc3,
+    0xc79bfce8, 0x9d723bd2, 0xaf1b5742, 0xb6f7de36, 0x0830d8c6, 0x2c526d4e, 0x90707780, 0xbc604c4c,
+    0x4004c03f, 0xc815b627, 0x2ea9211c, 0xfce7833f, 0x4141d8ad, 0x5bb70559, 0xe46d7d74, 0x7ea634ef,
+    0x3ebc76e2, 0xe0095209, 0xdb61f154, 0x20ccd9f6, 0x22188a86, 0x493feed6, 0x0e355c22, 0x8718b1e1,
+    0x700b3c99, 0xd25fe98c, 0xcafab2b9, 0xe529407a, 0xaa28145e, 0x7aba7285, 0x5e22d057, 0xc4af8ac4,
+    0x200d859f, 0x96c0f3db, 0xaf79ed2b, 0x02961428, 0xab30ba01, 0xc481f53e, 0xd95f6e35, 0xfb94a6c4,
+    0x26bbb7e5, 0x3950d8a3, 0xe4bb669b, 0x946918f8, 0x7e973adb, 0x2f4b884f, 0xd3ade7b7, 0x15526533,
+    0x4b287870, 0xaa4bb555, 0x4fd57b43, 0x454e84ea, 0xd5f2e469, 0x414070e0, 0xb127046a, 0x3e5542de,
+    0x1b74124f, 0x892171bd, 0xb14b7751, 0x49c78f3e, 0x17d7a7a4, 0x96cfee61, 0x52f43371, 0xa0dfa9ab,
+    0x11c8f794, 0x952901da, 0x6d77c7f5, 0xc74ad0d1, 0x3494798b, 0xdb791723, 0x8e93f969, 0x7459468d,
+    0x22e206bf, 0xb1413a34, 0xe2d15272, 0x618a5f19, 0xe7f0682b, 0x82e38f73, 0x347367f2, 0x4ef1278e,
+    0x168021fd, 0x6a714a9f, 0xab0d8784, 0x4d0a85b1, 0xc9ad9a6e, 0xe921ba05, 0xce8348c3, 0xc0dbcb27,
+    0xfde64323, 0x04660787, 0x97c83724, 0x10d8a027, 0x791bdbbb, 0xe7c72857, 0xcf261dc4, 0x98a61595,
+    0xf12dcd74, 0x069eb9ca, 0x712ec958, 0x2af37cc6, 0xa994eb28, 0x44ffd9ae, 0x5464fb29, 0xca25e7b0,
+    0xa2075a3b, 0x334959d6, 0x47fd15a1, 0x2c630cf0, 0xe1385dac, 0x4387e300, 0xc17eb3cf, 0x8028c896,
+    0xd5a31025, 0x28e5b5c4, 0x624de1df, 0x7036924c, 0x3c772c81, 0x7100c4e1, 0xeaf3b345, 0xc433fae1,
+    0x133a256a, 0xb49e2d46, 0xd2d6d6a3, 0x50915c52, 0x866fa38f, 0xe13c1d13, 0x8459b63e, 0x5ce07455,
+    0x86654f8e, 0xed86b3e2, 0x2732be00, 0xedf3ba38, 0xefbd1860, 0xc65731a0, 0x4bc4a7a2, 0x81fc101f,
+    0x29d4c91e, 0xa4c0a418, 0x5a007a83, 0xcd4d0ed9, 0x97b364d3, 0x05be3155, 0xfb130773, 0x2705c6ef,
+    0x540f0328, 0x55665649, 0xe18b262f, 0xe9faaf21, 0x8dbfbcb7, 0xef792a02, 0x0c78cddf, 0xd801028f,
+    0xcdd6fee3, 0xb5a3d502, 0xa99ca1a1, 0xfaa75f32, 0x7cead7b2, 0x32f382d4, 0x1b28a7e2, 0x01c0f394,
+    0xbf764901, 0xc9b6c9a5, 0x6dda77e6, 0x5cdfae50, 0xcd8b065d, 0xbaf06cc3, 0xa1113da3, 0x574278f8,
+    0x46a2880f, 0x448e72c2, 0x8072c364, 0x9e373327, 0xcdd7641a, 0x34beb45c, 0x9289dcdb, 0x97624177,
+    0x2bc23dbb, 0x8f98c07c, 0x98e14d5b, 0x092d1f72, 0x02dec281, 0x823b969c, 0x3b11051f, 0x7ca7056c,
+    0x1bd7b864, 0xb11514be, 0x1f45b5f4, 0x280fa589, 0xb64d5494, 0x64550986, 0xe26159db, 0x882a41e4,
+    0x63b1a8c8, 0x91c6e01c, 0xfbda2ca8, 0x29ab38fb, 0x34664b97, 0x1b6b25c6, 0xedcd90c6, 0xef175a55,
+    0x9c965221, 0xd79c8d42, 0x17096d36, 0x9ae89176, 0xc2a11946, 0x100c9eaa, 0x850f9d91, 0x405d9b34,
+    0xd2fb1d0d, 0x1b04199d, 0x22062066, 0xf0f45116, 0x1bf5e45d, 0xe1a39ec9, 0x6f066f62, 0x1e0a4acf,
+    0x1e991bde, 0x220fd4b6, 0xca119e08, 0xa988cbe9, 0x2a8aede6, 0x2c39a964, 0x5538ff68, 0x985bc967,
+    0xc5336946, 0x98e49a15, 0x9a1829fe, 0xc1c0c358, 0xfe6f82f1, 0x00bebeb2, 0x51dcc993, 0x550b2a02,
+    0x019944b1, 0x6bcc73b7, 0x0d0fcfa7, 0xc4f02985, 0x1bd17a1e, 0x3f4d62ad, 0xf210df3e, 0x70e1f30e,
+    0xb866c43c, 0xf662cd4b, 0x44c63ec6, 0xd15880c0, 0x16327f72, 0x2692970a, 0xe3bddcd9, 0x8ebbf56a,
+    0xc9c017c4, 0x835426c0, 0x53d4900c, 0x8ddd4738, 0xc7e47bd7, 0x70f97ddb, 0x97f73e0d, 0x266aaf2a,
+    0x7961835b, 0x851f45b5, 0x2cf3bbda, 0xd6a30a1f, 0x960a6993, 0x5843a4bb, 0x051773f8, 0x8704ce5c,
+    0x888fcf07, 0x46debe9f, 0x7c8cebd5, 0xec702424, 0x249e1950, 0x8b0d25ea, 0x02aed768, 0x5f23fc7a,
+    0x550a2928, 0x0791437a, 0xad0bf714, 0x7291b655, 0xc558881f, 0xa3aabb69, 0x8715846b, 0xaa5df999,
+    0x05d9be24, 0xd9b9f422, 0x9bbe873f, 0x2c6a122c, 0xbaaf305a, 0x1684b377, 0xd68dc51f, 0xca9d8044,
+    0x37b2c8b2, 0x145d1c13, 0x4c242ee1, 0xf35717cf, 0xffca6401, 0xe0662e88, 0xf0b8f852, 0xcb2f7f42,
+    0x60f41d5e, 0x36551de8, 0x2707de3b, 0xce0540e3, 0x454f1380, 0xae36538c, 0xdc5ca0d8, 0xe6fac00d,
+    0xb506f9f4, 0x9f4266ae, 0x63053005, 0x8859bd99, 0xd49e0dba, 0xfbd91d36, 0x451545d0, 0x2e8ec919,
+    0xe743aa11, 0xcc1e6cf2, 0x26232571, 0x455520f6, 0x04f71a79, 0xdcfa4b9a, 0xa42d2218, 0xb5c01af0,
+    0x8c0b3217, 0xe386de12, 0x2a3f9140, 0x1a8ee32a, 0x664d267e, 0x7d9d3544, 0xff9ccbd3, 0x078f7fa7,
+    0xd42d120e, 0x6bbe606e, 0xcab41a8a, 0x264cfb5c, 0x9629bef9, 0x09e4291b, 0x40dea5e1, 0x28f557b7,
+    0x0efe1395, 0xefeffcaf, 0x683bf532, 0x19c00292, 0xf0b936e3, 0x46f81677, 0x20e8fcb9, 0xba6bb564,
+    0xb5d63f9a, 0x76eda8f9, 0x70b4e602, 0xf6f61e79, 0xa1ef77b9, 0x19285fcf, 0x7ee6f617, 0x7734bccc,
+    0xd0279796, 0x5db3236d, 0xaa92227b, 0xa46bdcbd, 0xaec8fe24, 0x8cbf5617, 0x5300616f, 0x648fc001,
+    0x5ab635cc, 0x8d9a42a9, 0x376e57b8, 0x9987c691, 0x12457f4f, 0x7efed82c, 0xb4d5a1e0, 0x06ea935d,
+    0xd52fead2, 0xcc90f967, 0xbfb76bd0, 0x5b59b89b, 0xcd6f5517, 0x3c3c899f, 0xc2bb21d4, 0xe6c83fac,
+    0x7dfa47c6, 0xc7a00672, 0xf4031808, 0x6f5d1ba5, 0x93e2c793, 0x46d89ac6, 0x3f0c9a37, 0xf6e941fd,
+    0x154e20cc, 0xdafc4106, 0xfe407e88, 0xa67825b6, 0xea9be666, 0x8b4d61ce, 0x46386415, 0xd0627a7d,
+    0x5d4a9b13, 0x5ced095f, 0x6f630b60, 0x85daa77a, 0x204bac38, 0x207e1efc, 0x7eea2c2f, 0x7e7b7c34,
+    0x279f0b54, 0xd8fc48b8, 0x26ca6d02, 0x015988e5, 0x129f4feb, 0x9d6572b8, 0x5f8aea7c, 0x524193bf,
+    0x230aa24e, 0xa87f927f, 0x7ae5d8f7, 0xc496e8e4, 0x37d242be, 0x8ea5249f, 0xe031abf0, 0x3e4b1371,
+    0x5120c948, 0xe4a3b8a0, 0xf19fe596, 0x7dd80383, 0x0cf7c3c0, 0xc31dfeb3, 0xa53e033e, 0x2f10c3e7,
+    0x8e6570f7, 0xa06bef77, 0x86117781, 0xca099e6e, 0x729516b0, 0xbd799ffb, 0x8f3f1447, 0x910a58b3,
+    0x322a92cc, 0xb649920b, 0xd26f50f8, 0x7f4f53f8, 0x8b988faa, 0x8521a52b, 0x522185df, 0x2665ad06,
+    0xf0730fad, 0xd4ae8632, 0x1b837f07, 0xe6d0d750, 0xaf788ec0, 0x3360a160, 0x79a846ce, 0x0491880a,
+    0x55977281, 0x517222e4, 0xb1b25907, 0xe7838e71, 0x0b35e258, 0xb90fe8eb, 0xa619759c, 0x07cea5ac,
+    0x20c8df95, 0x8ba52289, 0xbe5cda05, 0xcc670c65, 0x81b498a0, 0x7da799b1, 0xc7c753b4, 0x10577e0c,
+    0x4ece240d, 0x0f2634f7, 0xc121801b, 0x0c24ecc1, 0x161e2007, 0x227b2e9a, 0xd76efa3b, 0xbae5f3b3,
+    0x89607755, 0xf0804aaf, 0x87a8e81f, 0x0c218c07, 0xb89adc6f, 0x0725922a, 0xd55bd663, 0x2d1b4776,
+    0x67543dd2, 0xe8374a9e, 0xfd9cec8b, 0x11afe696, 0x2bf447f2, 0xa62155a7, 0xf838b6c3, 0x19ca8f7f,
+    0xdbf984ef, 0x4d763093, 0x9414ee20, 0x57a2670a, 0xb54c4559, 0x3e74c081, 0xbfa1d805, 0x52b59a78,
+    0x982f20af, 0x2142475b, 0x147c288a, 0x34181f9b, 0xcfce8509, 0xcce122dd, 0x6dd14bde, 0xe4f5205a,
+    0xd4cd88bb, 0x70f071bd, 0xa647fb10, 0xac00d028, 0xaef91bca, 0x0cc34f68, 0x64fc0671, 0x7b4d3eb5,
+    0xc5e64830, 0x3c512d91, 0xedd84f51, 0xf87d56f1, 0x80b44ac9, 0x6e5b19a6, 0x15eeb35d, 0x6ba9343d,
+    0x8d819dea, 0x575fef10, 0x179d8da0, 0x1f3bbf55, 0xb7d455f7, 0x2d4a4723, 0xfc7b8224, 0x5ef6389c,
+    0xc29b27e7, 0xccb6b938, 0x8d599e2a, 0xe66b6d9b, 0xe63c640c, 0x9e0a9bc7, 0xaaeb2513, 0x7c803cf4,
+    0xad4470f8, 0x9160a03b, 0xd358aec2, 0x80050b0f, 0xd24418e2, 0x513fa70a, 0xb24fb3e9, 0xd860c0f6,
+    0xb23c528c, 0x7b987304, 0x84852d96, 0xd695eccd, 0x92dc3a74, 0x00031905, 0x00ddbed3, 0xab28adc2,
+    0x1f1a24ea, 0x6a9afd25, 0xa6ba3a20, 0x1cab6b02, 0x3bbc891e, 0xc5d0e450, 0x39611b58, 0x06c994c6,
+    0x71e4cf00, 0xc6333625, 0xeace863e, 0x4c497b17, 0xa9296c8f, 0xcf89c583, 0xe1a8421a, 0xfeb4c762,
+    0x4a72b143, 0x637db74a, 0x6ab94245, 0x3c679678, 0x60aaed29, 0xbc1ca4c7, 0x47d08121, 0x44c8caed,
+    0x94236219, 0xe638ca6d, 0x024aa430, 0x629d9e98, 0x96edb16d, 0x9d8897bb, 0x9fb19045, 0x4e373fc1,
+    0xd77510fe, 0x37af853e, 0xc638d0d5, 0x31407def, 0x4cfb5170, 0x7c4f20cb, 0x5964b233, 0xa38cb12f,
+    0x032033b4, 0x0ee85a4b, 0x81773f1e, 0x92fab857, 0x09bddc50, 0xe996596c, 0x63644bbe, 0xb922f9ad,
+    0xdf13a12b, 0x1b7d0f04, 0x6db8ff72, 0x18ce7486, 0x86792f2e, 0xebd0cb48, 0x684744f4, 0xed0707f2,
+    0x94dd1c2b, 0x6b4c4c98, 0x2f9d6f35, 0xdc7dad4c, 0xbd678536, 0xd007ff47, 0x9a955073, 0x22ffffea,
+    0x0a6dd854, 0x614a1f65, 0x3dcd45cb, 0x54c28637, 0x4ede6877, 0xf9bdd0e8, 0x555322af, 0x509ee062,
+    0x52b8e739, 0x28fccfcd, 0x77985708, 0xb3981507, 0xf26ad863, 0x4cd2b5e7, 0xe7f0597d, 0xad0bac96,
+    0xa2f11a0b, 0xf8a78d34, 0x53566d72, 0x66a3ea1d, 0xdbe391c2, 0xed548a73, 0xdb8399cc, 0xd2ba322c,
+    0x646d7b35, 0x61c77e12, 0xc64805a3, 0xf3f6bfe7, 0xcdb40de3, 0x83e26f91, 0x78bac6dd, 0x0e2cf4e3,
+    0x8986f470, 0x868e1507, 0x900fc171, 0x6f4db856, 0x681484d2, 0x0f6c6a3d, 0xf4a445c4, 0x631f9d5f,
+    0x1f42f83f, 0xb0918366, 0x84781f57, 0x76b95beb, 0x3d01d511, 0x70c102ad, 0xdff3df25, 0x55d67744,
+    0x5b2ca67d, 0x6b32a601, 0xdb6868e4, 0xbe736a2d, 0x8a11bdf3, 0x8bcb0258, 0x0dbda7c4, 0x8d3a71c4,
+    0x4336d02e, 0xfb10455c, 0x17efdcbb, 0x5f1da70c, 0xcba432e7, 0xd2e148e0, 0x5f0692c0, 0x6460aa63,
+    0x43d6e122, 0xa8e48a77, 0x247bc58f, 0xf799933a, 0x42d71aeb, 0xc99e8ab4, 0x90fa7e2f, 0x02a2e286,
+    0xafb0ae84, 0xa9e26656, 0xbf810ba6, 0x5ed4b749, 0xabdde9e0, 0xe135d834, 0x132a4a4f, 0x5d57e484,
+    0x33292c29, 0xc42adcb9, 0xa818b40b, 0x45db682d, 0xc67754dc, 0xe7b3812f, 0xd367f69f, 0xd12ea675,
+    0x0593ba0d, 0x8fde5b5a, 0xda7920ba, 0x35bf121e, 0x034d37b2, 0xcafdffcc, 0x26eac89c, 0x2e5cad1a,
+    0x00000000 }, /* 10**00000000000000000000000000000000003227812347608635737069898965003764842912132\
+                         24103652939103832419567580952752105149328705669160017228929487896496593436672 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b,
+    0x157f8dec, 0xeb53a46d, 0xab2020b9, 0xe1674199, 0x43f7a775, 0x47ce8f89, 0x2faad8eb, 0x42f5850c,
+    0x00000000,
+    0xb2dc774e, 0x6a793e19, 0xd1d8336e, 0x852ccd53, 0x416b9190, 0xc5a98fe1, 0x024b6067, 0x1e7fae76,
+    0x2fdb05ff, 0x6eea0df7, 0x422c70a8, 0xfbac37ba, 0x2fad634e, 0x38b184f0, 0x80d42d76, 0x1dae955a,
+    0x7106ece5, 0x8cc6b272, 0xb96bbb82, 0x59bb458a, 0xfed8a400, 0x59a27ca9, 0x0041cd4e, 0xfb8bdd37,
+    0x9ac6f4d7, 0x9e33cde4, 0x9b3e0cfe, 0xb3f3d1b8, 0x40b6668c, 0xee7776dc, 0x5b1ec86e, 0x975be404,
+    0xafb675cd, 0xed91dd85, 0x8db80cb1, 0x8fac430b, 0x2470116b, 0x1cff02d4, 0x909c4f48, 0x1a387ebe,
+    0x28bdb8b7, 0xa92c1999, 0xf61a9a48, 0x9a1b2f2c, 0x372abd1c, 0xdc172c1b, 0xf3d3a0c8, 0x3e08927a,
+    0xed153499, 0xbdd0f214, 0x42951ce3, 0xf836320a, 0x55b81df1, 0x10ea89b8, 0xce6085b1, 0x8c7d6d28,
+    0x83395abc, 0x4cbdb323, 0x3b5ac9a4, 0xe0eba646, 0xa443e0d0, 0x4a3b9b36, 0x12a02eab, 0x7b2b8f86,
+    0x847cf4e7, 0xba26132c, 0x75250373, 0xbb44ba43, 0x0f6eccef, 0xa7c20e5e, 0x04008d1f, 0x1a2bb8c1,
+    0x17c0a191, 0xe6b07229, 0x8d6975e9, 0x2e547681, 0xdcb8513d, 0x9eeade04, 0xb75082b0, 0x18da6b50,
+    0xfd8ca351, 0x2e29a769, 0x3ec50cc0, 0x59ce651d, 0x8e5f5c86, 0x152cf6a3, 0x393e425c, 0x375fa27a,
+    0x68f1f309, 0x014798b8, 0xfed0947e, 0x5c992177, 0x0bd7b363, 0x094ebea0, 0xaeaa10bd, 0x84e20abb,
+    0x12ca5e4c, 0xf9bd2291, 0xc4b4ac82, 0x8db80144, 0x3ff92025, 0xd359faf6, 0x4a45144a, 0xe01868b1,
+    0x0e36479e, 0x560f4479, 0x435e1d10, 0xb277a13b, 0xc2abcbe0, 0xc886eebf, 0x505b1a74, 0x7decef69,
+    0x803b21ff, 0xf0c419f3, 0x452f2e7a, 0x0099a050, 0x39c5fa36, 0x3048ce4d, 0xac42bc26, 0x6f1f0e39,
+    0x7a3f7788, 0xd2abe451, 0x2501b44f, 0x75518b1e, 0xd9bccded, 0x101591fb, 0xd08ec896, 0xd569f18e,
+    0x5f5ad692, 0x48dd37e8, 0xa12ef02e, 0xc48bee4d, 0xa29be2e1, 0x9125dc9b, 0x45b8022e, 0x66219a77,
+    0xf4967b72, 0x1bc341e4, 0xca8f5bb5, 0xa321c375, 0x48e83dc6, 0x021c6cb3, 0xf3f8c339, 0x877d3ece,
+    0xc95419ce, 0xc741c76b, 0x2440ed03, 0x9597d333, 0xbd53c234, 0xece278b8, 0x5ef20859, 0xcc71e023,
+    0xbe847047, 0xac0fe241, 0x0af059a1, 0xd59510c4, 0x217b945b, 0xabac0321, 0x838a0205, 0x65d12e9e,
+    0xb2e7426a, 0xa7d66e1c, 0xe74e330e, 0x7b7f9eac, 0x9ede73ac, 0xc82f8f88, 0xd3f882e3, 0x17ee93dc,
+    0x1dc3c65c, 0x5407c7b1, 0x5c35c833, 0x680775cb, 0x39e4d7b7, 0x1be654cd, 0xc3ad7be6, 0x3ec52aa2,
+    0xca4fb89d, 0xc5b7a3c4, 0x31c3c453, 0xa9864c4a, 0xef4c8da3, 0x2aefc07d, 0x636ac427, 0x5808ed32,
+    0x340eca7a, 0x3b5f71ba, 0x19e7da49, 0x0d8224b0, 0x80ddbb7d, 0x2d35e30a, 0xb37ab083, 0x7f61d6bb,
+    0x728e5452, 0x0ddbebcb, 0xa8ca9f63, 0x643c233a, 0x8d4d4d2a, 0xf89aa0c4, 0x72770f55, 0xf368dc51,
+    0xd16bf110, 0xe369f2ea, 0x6783766c, 0x48c1092e, 0xa5a81074, 0x9b9ce081, 0x091b9104, 0xf5029e12,
+    0x757f078e, 0x1ff897f8, 0x8fc7a563, 0xaced8c91, 0xbdc8eab7, 0x05daeda3, 0x0f26fb1d, 0x23f8ed10,
+    0x562c2afd, 0x20f8d0cd, 0xf54acfe9, 0xd3e566ee, 0x48cc5f3c, 0x2a830cb8, 0xf774e3e2, 0x47b3de9d,
+    0x6b036086, 0x07fe692c, 0xb9b74abf, 0x5a9537a5, 0x9125ee33, 0x898121d6, 0x07003fab, 0xb459b61d,
+    0x8ea85f2f, 0xd7fa4d93, 0xd031f652, 0x3fd2ad42, 0x4db1785a, 0x30a99522, 0x7832f8a6, 0x3120fea9,
+    0x0ea8d67f, 0x5002ac54, 0xbc5b75bc, 0x89e621cc, 0xaccc4077, 0xa01d2204, 0xd9957f7b, 0xc4983ed3,
+    0x6cd95b49, 0xdd2f3d2b, 0x9aae7809, 0x7508e9d3, 0x5d1b370c, 0xbf18c26c, 0x077fedac, 0xc0abb01d,
+    0x663c99f7, 0x9bd0845b, 0x84ea5872, 0xbc92f15d, 0x1b4dfa03, 0x1a5af539, 0x8c9755ab, 0xf274d6cb,
+    0x4cebb8bd, 0x4aa2819a, 0xba8c6075, 0x81aa4251, 0x42da53e1, 0xfe5969e3, 0x2a631689, 0x7bd5e7f0,
+    0x4c041949, 0x7cda67fa, 0x54c3b043, 0x97d38627, 0x7c723ec4, 0x78474691, 0xb1ea75dd, 0x8708641f,
+    0xda278a15, 0x3993bf1f, 0x9b702bd7, 0xc11e25d2, 0x6ebf99f2, 0xce4cfc6c, 0x1582879d, 0x58ffed15,
+    0xa2316953, 0xc0cdf4e9, 0xfd5a05d7, 0x76fce794, 0x2e2a83ba, 0x87431534, 0xaaf9aa7f, 0x3f52ac52,
+    0xab6f0b27, 0x5c8fb128, 0xcc8ef2e4, 0xb077f6df, 0x9db7c342, 0x27e0549f, 0x3f56b454, 0xc5a44e55,
+    0x3b79da8b, 0xa5e796c1, 0x9ab4a812, 0x701ec549, 0x8593c168, 0xb3720e10, 0xea657c8a, 0xf52e3f5b,
+    0x52138259, 0x2105598c, 0x829afbfb, 0xe3d3848f, 0x319951cb, 0x60bcf62a, 0xce1cbbe1, 0x26f8c6ca,
+    0x174af6f6, 0x5376ea5f, 0x805c1ca7, 0x025c211d, 0x88d8971a, 0x25f770ba, 0x9ea4dd4a, 0x91975b77,
+    0x01cd61cd, 0xdd0b9293, 0xa921cbcc, 0xf2757019, 0x74a8e40b, 0x048d5ab4, 0xfb43c243, 0x0e7ee888,
+    0xdca7b851, 0xb95c8a8b, 0x7804f19a, 0x644115af, 0x7f8cf50f, 0xbad2591f, 0x2d56f59f, 0x448dc8fc,
+    0xb2f40f43, 0xfdfc6171, 0x89d59304, 0x989a7047, 0x738d8e19, 0x48a10f01, 0xc76a6e22, 0xbfa1883f,
+    0xc3cadda4, 0xee005f63, 0x3ca2cdd7, 0xdd01cc17, 0x72770e21, 0x02d8e803, 0x508f0708, 0xd5c9b810,
+    0x53affb48, 0x431ee59f, 0xd26b8d28, 0xee6ec434, 0x9c7176f1, 0x14f775b8, 0xf6af15da, 0x7f5c1426,
+    0x78d04fc4, 0x7d6d3412, 0x846d47ff, 0xf594a786, 0x2b4429e7, 0x922c926a, 0xf573dabe, 0x2a3de062,
+    0xdce703f0, 0xc0c3b013, 0x07e94a66, 0xe653e01b, 0x7bd0958b, 0x991febe6, 0x6d742c71, 0xee15fcc9,
+    0xb13e0a35, 0x25b40085, 0x3d7651b1, 0x31c82ef8, 0xcb82ee7f, 0x74616d15, 0x7e0aa1e6, 0xec649aa0,
+    0xa4e0c942, 0xbfb31873, 0x8ee0df4c, 0x63a46067, 0xe9dfb38f, 0x076f1bd2, 0x0028cf77, 0x1556fed3,
+    0x9604b218, 0xae9100df, 0xfcae6b6f, 0x575a1ef0, 0xd01085d7, 0x6726f4da, 0xcca9305d, 0x09677622,
+    0xbc378214, 0x087b0620, 0xc39fe374, 0x05227c8f, 0x1e0ba632, 0x4c157a86, 0x4a71246e, 0x7a225603,
+    0x14de6a9b, 0x0fc98a5e, 0x5881b297, 0x98252731, 0x0871c204, 0xf86ae395, 0x4e54a0bd, 0xd0a4811e,
+    0x91fdb39a, 0x6e47e1b4, 0xeb96112b, 0x9a365b16, 0x281ff296, 0x49454fb3, 0xe2288c49, 0xe24380de,
+    0x4202512d, 0xc2bb09e1, 0xf8fe3216, 0x1b9c4150, 0xc28c80a8, 0x098ab37f, 0xb32822a7, 0xbcfea1fb,
+    0x850d93e8, 0xcbf91bb1, 0xd326867c, 0x2603d53c, 0x3a5ee558, 0x964d4d1e, 0x81de053c, 0x4687e804,
+    0x58fe887c, 0x451c3cf9, 0x9f6e2ea1, 0x84253691, 0x15f26892, 0x0ac57035, 0x79d3b470, 0x1f37dcc6,
+    0x40ee0159, 0x61e47560, 0xf0c301b8, 0x00089758, 0x690070a9, 0x9b566e61, 0x50fe3286, 0xc71d20af,
+    0xeb00f4bf, 0x8d379b23, 0xb014d31b, 0xcb56c054, 0x10fba64d, 0xd33595a4, 0xfd6bb788, 0x40fb29c8,
+    0x34283379, 0xe935499b, 0x3adaa265, 0x5574ab4f, 0x172bbb21, 0xdb4f5743, 0x3d75ea32, 0x0ebe778c,
+    0xd3b4db53, 0x741f132f, 0xf3b55406, 0x4f7988c8, 0xf3c015ce, 0x4e726ddb, 0x4be67fc4, 0xbd15958e,
+    0x555e5254, 0xef6dc14b, 0x69dcb189, 0x897ab25a, 0x7111b7c5, 0x976ed9e1, 0x4f76ecac, 0x4f051b1e,
+    0xfbd9727d, 0xf975b7f9, 0xdb5d088b, 0x95c92263, 0x2e77c599, 0x99be1174, 0xfa5eeb9b, 0x81563aad,
+    0x6834da81, 0xe57dd6b9, 0x66923e05, 0xb92f2f6d, 0x80dba885, 0xbe406694, 0xd7f0057e, 0xbb247d81,
+    0x2b3173f1, 0x08586bf8, 0x75e509c1, 0x8b4041de, 0x87d009e6, 0x330644ee, 0x410d9b2f, 0x65db3d8e,
+    0x80036132, 0x84e5168e, 0xeb56b57c, 0x26a393ff, 0xa635a521, 0xb24b2d31, 0xd168494d, 0x525fa1a9,
+    0xac7ef787, 0x73ae46e7, 0x0675feca, 0xd57a8d53, 0x09f3cb52, 0x90efa8a1, 0xf8f5d4c8, 0xbd80ba6b,
+    0xff76ce8c, 0x96086c88, 0xc2c0dc33, 0x82a7552b, 0xc56ab630, 0x8c78b910, 0x8b37c39b, 0xdf9bf789,
+    0x96e50f49, 0xfd1244c8, 0x78d11c93, 0x9ae6c208, 0x66950dad, 0x06108df1, 0xe8d10fb5, 0x357be902,
+    0xbe8850b5, 0x0ad2f0db, 0x451c4458, 0xc72a8b0d, 0x58e7ddd3, 0x6be0211b, 0xffe067a0, 0x189deb07,
+    0x74bbf320, 0xe4975a1b, 0x16510ab0, 0xe5eb925a, 0x1c909790, 0x20917ba8, 0x78e33a87, 0x08e83e5d,
+    0x3895f1e0, 0x667867c2, 0x4f1ad4d7, 0x66422b6d, 0x1cd69fc6, 0x331b5cd7, 0x24042375, 0xe81c8ff1,
+    0xb21a299d, 0xc072e605, 0xdce26310, 0xc3196f0e, 0xee3c085b, 0x12be7ddc, 0x250901c1, 0x23e93e06,
+    0x564d2705, 0x08e2ddfd, 0x3b760d40, 0x01bda8f1, 0x2351f824, 0x04113b85, 0x02f47b89, 0xe6585fde,
+    0x04ec60d8, 0x6c332a9e, 0x99950bb9, 0x3c855fe9, 0xa2d71e0c, 0x6c60ef42, 0x34361046, 0x2d3e9cee,
+    0x0fc3eae8, 0xa3cb774d, 0xa427bdc3, 0x8e2cb200, 0x5ba18b39, 0x0c1bf17f, 0x593b3fef, 0xe1e7e246,
+    0x732fa0c9, 0x65ca5291, 0x827dc6e1, 0xd640a24e, 0x7b2b77b0, 0x43cd5083, 0xfb06362a, 0x482211ab,
+    0xf5a5326e, 0x92a92e2c, 0x032e5e80, 0xc481ba2b, 0xb12b06bb, 0x382838b8, 0x6304b0a7, 0xf0d53cd3,
+    0x816aa0d1, 0x19601d9e, 0x777f3ee3, 0x0d356870, 0x42c7819f, 0xa612f79f, 0x07d319ab, 0xca5bbb0a,
+    0xaacc074d, 0x044adaf9, 0x6c8603b4, 0xcdb3a1ea, 0x3669cb0a, 0x5ccbaecf, 0x87e7533f, 0xa1f3a84e,
+    0x1ad57760, 0xe1335f4d, 0x7583fdf0, 0x1df8d04f, 0x1a33f50c, 0x39856783, 0xd5aa3bff, 0x718df28e,
+    0xf16723fc, 0x4b1919c1, 0x3c42a135, 0x0732c342, 0xce446c24, 0xf6b55527, 0xe363ce16, 0x0475554f,
+    0x439df33e, 0x248cff73, 0x84daae94, 0xdcc0524d, 0xb1305f27, 0x30b71981, 0x2d7ee551, 0x9fb14205,
+    0x73885896, 0x2b690f6a, 0xebde17c6, 0x0e9a983c, 0xc4f30875, 0x2ace7b8b, 0xc7c5f168, 0x27a07ee8,
+    0xd1c6012e, 0x83f91e17, 0x407f45e2, 0x945b6568, 0x3fc980ea, 0x2d1303ce, 0x25402906, 0x0467db2d,
+    0xa7f43f04, 0xef5cd956, 0x93ec7628, 0x2da49536, 0x40e32310, 0xe93ae60a, 0x621ae9e2, 0x958b73d7,
+    0x3ecd9d94, 0x1ace64af, 0x9742a233, 0x0f74f43a, 0x14809007, 0x37145083, 0x466417c4, 0x5e764db0,
+    0x84153ff6, 0xa2788242, 0xe21ba7d5, 0xf4e4adde, 0x0613e972, 0xe32a4f50, 0x601efde2, 0xecc8d789,
+    0x9c08b8e0, 0xcfdb6439, 0x708977bf, 0x4e7263f8, 0x74751d83, 0xd0ce1ddb, 0xb13b824f, 0x6ec0b2bb,
+    0x3b6fd87f, 0xfc621177, 0xfb082f8c, 0x3e9cce8e, 0xcb67727e, 0x2b6e667a, 0x2ede0ead, 0x9368f40d,
+    0x4caba70e, 0xcdb7de68, 0x91507e7e, 0xcdb81586, 0xb3ce1fac, 0xcb2bcb68, 0x0091c106, 0x0da545fd,
+    0x83db1d47, 0xb8fd57ad, 0xa83a9bb1, 0x9730d8ef, 0x58ca064c, 0xb6f10f59, 0x546d9e75, 0xee5d2954,
+    0xf868f5fe, 0xe62f22da, 0xe1fba1ec, 0x71a115bc, 0xd0429b70, 0x95666658, 0x0751f15c, 0xd883f3b0,
+    0xb3cfe56f, 0xb671b4a5, 0x99c0f119, 0x1f67e017, 0x6fb536a7, 0x7fd56fc3, 0xb122163e, 0xfe18aed5,
+    0x1981f177, 0xe1771b6f, 0xd72955ae, 0x7e6b0c17, 0x68107045, 0xa7099b6c, 0x0d2ff9ae, 0x905c4431,
+    0xd5012fe5, 0x7e30b9e7, 0x2598ea7f, 0x23facc48, 0x41411a8a, 0xf463885d, 0x75101512, 0xedbf19f1,
+    0x08889c48, 0xf2603746, 0x81cbda85, 0x68a48495, 0xfd538d6f, 0xaeffdab5, 0xa74dc0e7, 0xb4d936c1,
+    0x775750fd, 0x51a37ab7, 0xa5b04a81, 0x93233253, 0x4dd9571b, 0x02b181cd, 0x165fd5cb, 0xd20e6d4c,
+    0x4adda6f1, 0xacd356e0, 0x77ac3099, 0xc65d5e9c, 0x38c32b5f, 0x87ff5f80, 0xd388b87f, 0x10d4eec7,
+    0xd4bb3118, 0x32d76660, 0x27374624, 0x310cb4b5, 0x495b9aec, 0xacf6674f, 0x77b5993a, 0x4400edd0,
+    0x74a38c6b, 0x38c28c1a, 0xc418652d, 0xb9693ad2, 0xd33d66d2, 0xf68c6ea1, 0x352e1238, 0x6caffc7b,
+    0x94925c0b, 0xdbf892ea, 0x10dc47db, 0xb7d40ed8, 0xea7c5ced, 0x4ec9c021, 0xfd7601fb, 0xf55f9236,
+    0x6325b6f7, 0x7dbd7bef, 0x27c97a5c, 0x6924f7ee, 0x5afb2219, 0x7dcae8f7, 0x3c0a7f7c, 0x3937a6a5,
+    0x9fb8e26d, 0x5345dfb9, 0x132766fc, 0x5e52fd2c, 0xbb816320, 0x28696156, 0xc9dd1193, 0xb03824e6,
+    0xf51c0580, 0x99c64e8c, 0x8bf06fce, 0x7b8b5805, 0x1939a616, 0xd9ddeb0d, 0x107cce9b, 0x95510670,
+    0xeb6f7e64, 0x053b549a, 0x7ff6e13b, 0x811a9c42, 0x50ec5ae5, 0x93e4fbd2, 0xa09f753c, 0x04834974,
+    0xc4d23406, 0x9d6cfd54, 0x83f5d1bd, 0x3700e419, 0xc57cb3f1, 0x0ffa76ee, 0x08498fa5, 0xa3bb00ea,
+    0x71132640, 0xb126049a, 0x8435c2f7, 0x056e07a0, 0xd5d813b2, 0x0c785253, 0x7c94e624, 0x10660315,
+    0xfe6440ec, 0xbead492f, 0xd1b4651c, 0x35569152, 0x0a15299f, 0x72a6001f, 0xb5421c90, 0x2370be1c,
+    0x76b5a687, 0xb4c547ac, 0x14305379, 0x18202a1a, 0xf91166b3, 0x23984c6f, 0xf3e31c5b, 0x51aa5e92,
+    0xbe2256a9, 0x51bea670, 0x809b8ad2, 0x9c688c16, 0x503a3196, 0x505d6312, 0x1967601a, 0xed291921,
+    0x0a5863ec, 0x9fa5bde1, 0x0f44cde1, 0x127af0d8, 0x55f91519, 0xa343b3c1, 0x34f9d683, 0xacce5b0b,
+    0xd44331bb, 0x67a2558d, 0xc5b052b1, 0x9ff5bc81, 0x20206ab1, 0xb331c84b, 0x9d04577a, 0xb6f10fea,
+    0x3ada7de9, 0x4fe91702, 0x80425b75, 0x5363d65f, 0x302b8744, 0xc6340243, 0x6aa4ac08, 0xb3e9f260,
+    0xc9688333, 0xb030ec19, 0x515135b7, 0x7a10b7df, 0xecd9706b, 0xf15a050a, 0x251e8852, 0x9984ee41,
+    0x1be073c5, 0x3a709eda, 0xce82806d, 0x289106f7, 0xaf04b40d, 0xc7cfcbf5, 0x93900de9, 0xc23a7eeb,
+    0x227fc865, 0xef5644af, 0x542703cb, 0x44c35ca8, 0xa77fdc66, 0x2b6f7900, 0x79de0a2d, 0x7dd11dee,
+    0x9b5c2455, 0x61218137, 0xcecce050, 0x53b7f978, 0x3374b9d8, 0x402aa52e, 0x78f78fe1, 0xeee6c380,
+    0x45ee1dd4, 0xe9e298f3, 0x010251f5, 0xdba909b9, 0xc1f6bf8e, 0x6970e71a, 0xfdce155d, 0x35528454,
+    0xed479a28, 0xbe03922e, 0x06600e75, 0x2a421d9d, 0x5b626a61, 0x28cef45f, 0x539e90da, 0x48f96665,
+    0x176a4fe5, 0x7b3ca210, 0x3343054b, 0x3d22c4ec, 0xcbba0a52, 0x84637878, 0xb2a0ca5e, 0xf523a095,
+    0x75e318ba, 0x7bcf705b, 0xa54a0a5d, 0xd099a67c, 0x267b2250, 0x55ef9168, 0x967ac672, 0x549145ed,
+    0x516d20fe, 0x2bc5a663, 0xf7d57ae3, 0x4ad82d0a, 0x623a8969, 0xf2b6d25f, 0xc13412fd, 0xaee54585,
+    0x79579e3e, 0x197213aa, 0x34a6d95c, 0x2926e7a4, 0x23214d7f, 0x0a2c4834, 0x54197529, 0x54d71af9,
+    0x565815ed, 0x825375f2, 0x8bda5c87, 0xc9242a3f, 0x78b79f18, 0x5ee2d305, 0x268a2cad, 0xb3cafa36,
+    0x6326c861, 0xe3a9d89f, 0x1b086c13, 0xba50c240, 0xd4b3f3c5, 0xeadcd654, 0xe0f0846e, 0xa638edbc,
+    0x00000000 }, /* 10**00000000000000000000000000000000001613906173804317868534949482501882421456066\
+                         12051826469551916209783790476376052574664352834580008614464743948248296718336 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d,
+    0x8abfc6f6, 0x75a9d236, 0xd590105c, 0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c4, 0x97d56c75, 0xa17ac285,
+    0x00000000,
+    0xd5fb7e57, 0x64353e07, 0x8495a3f5, 0xc4274453, 0x2bee4cd5, 0x4bf7c502, 0xb7f6419e, 0x03407cd2,
+    0xac3ddd4b, 0x2f3a7085, 0xa91a6e69, 0xe8cbbe9b, 0x2b1e5b89, 0x4f2271ea, 0xa99d421a, 0x8c3de48f,
+    0x2bd33f7e, 0xa2a55daf, 0xdc72af59, 0x3676c5c0, 0xbad7efbb, 0x2e13d9f7, 0xd898e2f3, 0x73f3a904,
+    0xa3727555, 0x3a2d0e1e, 0xc1bd9576, 0xf3e2845c, 0x2a2d5349, 0x3ec6e80e, 0xf46c14e5, 0x52e3ca95,
+    0x320554ae, 0x14aa6260, 0xad81bf7d, 0x8173fc67, 0x86de4107, 0xbbcbc19c, 0x9e163d73, 0x5e45c2c3,
+    0x74a006bb, 0xc3c99f2d, 0xd3753361, 0xa326a7a5, 0xc787b2e3, 0xc6d5330a, 0x3e77d7e5, 0x247e0523,
+    0x666b24fc, 0xa76764e2, 0xfe51d7b6, 0x68cc17bb, 0x3d86f202, 0x2f330551, 0xbbec2b3e, 0xc8e849f9,
+    0xf739d9a2, 0xd3dd71b7, 0x4e0ccfe0, 0x66690567, 0xad9be4a5, 0xfd4e23fd, 0x381e6d95, 0x62345e15,
+    0xf3c47e1f, 0xf2dfc03a, 0x0824e929, 0x1b438341, 0x972ed501, 0xf89fb85c, 0x0ee334bc, 0xabff1f56,
+    0x08eed24d, 0x098a3715, 0x00daffb6, 0xc8b4b5ae, 0xc2e98caf, 0x079fb9e6, 0x636265fe, 0xd1259d9a,
+    0x9bbcc8cb, 0xebefb8c5, 0x9eb2b466, 0xa039acaf, 0x6d93d0b3, 0x5fdcc94a, 0x9e2e0cb0, 0xe9c420a5,
+    0xe525562b, 0x543d954d, 0x9736df6b, 0xb9cdcfda, 0x4e0033b5, 0x3870962c, 0x602e2c43, 0x25879206,
+    0x8c8a79b7, 0xb86827e0, 0x72bd7085, 0x6140d384, 0xdb2cd5ad, 0x5f0ea655, 0x4f7ba092, 0xe4e71f71,
+    0x096a1c5a, 0xa7a6ec32, 0xf988a1c4, 0x890ab0d4, 0x08db1f31, 0x55d94bd7, 0x3b4a7978, 0xb0197f39,
+    0xe61c61da, 0xb1e945c0, 0x29e8537d, 0x5bfad564, 0x1aeeeef6, 0xbd58b0c5, 0x80a910f4, 0x68d94887,
+    0x25e95666, 0xc5caa9e4, 0x1c1b17b6, 0x0d83b05b, 0x6bb72749, 0xdc28d521, 0x9cff6f66, 0xca409225,
+    0x615d8989, 0x8fb50c84, 0x88b8907f, 0xcc5df13c, 0x3c70ecb8, 0x2bb9beb5, 0xb0ff7a84, 0x9f810844,
+    0x1661f8f9, 0x796b7c1e, 0x81fdf6d0, 0x4718f953, 0x31e31f13, 0xd18cc5fa, 0x754eebed, 0xf72fe60d,
+    0x29c5470e, 0x05067bef, 0x597a68ec, 0x24cf8947, 0x1c07a880, 0x9d6e8f5c, 0x2c0007bd, 0x382a000c,
+    0xedfbc2dd, 0x810168db, 0x848ea3fc, 0x565d5cd9, 0x721a8d2f, 0x1b89a54c, 0xc9388aca, 0x015e605b,
+    0x27d41671, 0x8b312f95, 0xb0a7f2b4, 0x32b39820, 0x05b47d9f, 0x88c7d842, 0xad3f2988, 0xc8ef0e34,
+    0xf8a83d5b, 0xf6ba1fcb, 0x1e49905c, 0x8c447159, 0xf67f4677, 0xb496086d, 0x50201052, 0xfba4953e,
+    0x5726150e, 0x4f3cab05, 0xe977b881, 0x888baadb, 0x20e1a9d6, 0xe80fb94a, 0xf0a2c210, 0xcd883490,
+    0xf679fda7, 0xd9bc0498, 0xfa29644c, 0x065696ac, 0x66ba5b9d, 0x2f1fbfe6, 0x4b685170, 0x76c3dcca,
+    0xbd7b281a, 0x06b1052d, 0x49a19d4c, 0x9a1e5121, 0xbdbb1724, 0x913487b8, 0xe68043a2, 0xb2160d19,
+    0x3ace176d, 0xf21f7a80, 0xf9cc7236, 0x4252fe53, 0x3124b633, 0x11c24ca1, 0x3219b934, 0x11a4e065,
+    0x334f1d2b, 0x659ba795, 0x3a7ea0a7, 0x4d5850f1, 0x173d0092, 0xc514ca30, 0x000cebd9, 0x351413d2,
+    0xc9627f29, 0xfca674f9, 0x5df98c8f, 0xafb84d33, 0x7758a663, 0x01d5d618, 0x216e5496, 0x965ec082,
+    0x3af65711, 0x8fbdf449, 0xf24d4866, 0x76f1cd6c, 0x610e4464, 0x641ebec5, 0xb55027aa, 0x79b1e441,
+    0x9cfe1a34, 0x689730ff, 0x5a956616, 0xa839e950, 0xc7d0f089, 0x7e4efe31, 0xd564adf9, 0x5b11c859,
+    0xb4d8ee24, 0x5ac31705, 0x96344c17, 0x7b837e5c, 0xcf4c8348, 0xf0e0e75b, 0x0b51d4bc, 0xbfc8588f,
+    0x92e00b24, 0x3257f31d, 0x046ee1f1, 0x32d74805, 0x8bc9e313, 0xa85fa901, 0xa23ad238, 0x2909ca25,
+    0x553f5ee4, 0x0422593a, 0xe70f197c, 0x47c3f942, 0x4169ee61, 0x89e9f2e5, 0x3c309e3a, 0x5c220926,
+    0x5c7b611c, 0xbd35d358, 0xc0f41d2e, 0x1d1ccadc, 0x07870d45, 0xf42b9a78, 0x9d66e68e, 0x8f387038,
+    0x6aa95a91, 0x443a4b61, 0xc617daea, 0x68cd1fdd, 0xc1069528, 0x23c0e112, 0x8240477a, 0x811f9896,
+    0xbe5e653e, 0x8fe0214a, 0x939de66b, 0x95c0bf87, 0xaaf5a03e, 0x15cdf614, 0xea9f962d, 0x061caff4,
+    0x6f274f13, 0x8ea9da6a, 0xf00f8746, 0xfb72b582, 0xbd47b328, 0x99536e65, 0x6918b434, 0x616f38c9,
+    0x9ecb3512, 0x7c0f39b8, 0x2aea3ef3, 0xe67680f8, 0xfb1577cf, 0x6ad4e47e, 0x6ff1506e, 0x74247ed1,
+    0x840282ff, 0x8bc1549a, 0xd08c3d46, 0x3ca1b0a3, 0x3a6bac53, 0x43ccd549, 0x3d38ea72, 0xdb698df9,
+    0x5324dfb5, 0xc0048d54, 0x1fea9a11, 0x45d6d843, 0x29510d8d, 0x8f236467, 0xb5380632, 0x7f662e55,
+    0x4c8d75c1, 0x8879ca03, 0xf9fdab26, 0x45c326cb, 0xc8a80a12, 0xf1402853, 0x84d9fad6, 0x9a84d707,
+    0x79dc9e28, 0x69e53a65, 0xbadd28ff, 0x9e75114d, 0xd6a37ec3, 0xcaaf7f79, 0xfca8784f, 0xe968a4e8,
+    0xa10f493d, 0x137555c9, 0x09242f3c, 0xac9f10fd, 0xa8095539, 0xa624b284, 0x2c84ec69, 0xbddb310b,
+    0x6db0a3f3, 0xb5327f8e, 0x27110cdc, 0x6677250f, 0x0253a237, 0x3ade45eb, 0x3c96cbd7, 0x2b3569fc,
+    0x65798fd8, 0xe921ce2b, 0x79a06fa2, 0x3f51ec90, 0xe648fca2, 0x362cbed2, 0xdce2a17c, 0xbb7a362e,
+    0xef1ea24d, 0xf5d7a549, 0xa818aaad, 0x560a8cd5, 0x8587d64c, 0xb970224f, 0xad776964, 0xa2ec475d,
+    0x0092be5b, 0xd03ad17d, 0x732d21f1, 0xc73b8cee, 0x129d4ecf, 0x8ed5b8bb, 0x8d73561a, 0xa2e37b94,
+    0x84088eb7, 0x549afe72, 0xb6f8bcfd, 0x68397ec6, 0xf4a79f86, 0x41d39b02, 0xe1c3d06b, 0xc66a4599,
+    0x30184b59, 0x0a04c615, 0x38e96c72, 0xf36155cb, 0x437ecbee, 0x8cc2fbc2, 0xef73e810, 0xb011928e,
+    0xe5cbcfc9, 0x2d9cb908, 0x6c12fe78, 0x8fa75e9c, 0x7475545c, 0x2feb6ab3, 0x5289be35, 0x2a27ca1a,
+    0x27980ffa, 0x2f74c2ca, 0x5d035e93, 0x5d1e211c, 0x33ec0f62, 0x17bd7d88, 0x4954eeb7, 0x08d8261b,
+    0x368fbe05, 0xbd905d0b, 0xff1ab1a3, 0x9347b103, 0x5d3fb19f, 0xe77ef7d9, 0x6b5d5e74, 0x220d4043,
+    0x63d2aed8, 0x285700a0, 0xa07d09bb, 0xf94d3072, 0xe1330f80, 0x6954dce8, 0xb6ac8641, 0x9b151f6b,
+    0xdc62be1f, 0xdd20eaf0, 0xdf6ef883, 0x4c42b6cf, 0x9ba67dd3, 0x0a8cda25, 0x092e064b, 0xe33d3cfc,
+    0xe6ae8769, 0x4a1108ac, 0xd92c00be, 0xdc6d005d, 0x4b57bbe1, 0x484b8307, 0xa0a8da5f, 0xccb0d2e2,
+    0x5032b7a4, 0x17eeae15, 0xaceaad52, 0xa21f20ce, 0x331d925c, 0x72016b3d, 0xf6f27e51, 0xbc1274b0,
+    0xbaaa9476, 0x3acd8eb7, 0x35e7c7ff, 0x5a007c7b, 0x17bbdec3, 0x39298698, 0x9ec0ca1d, 0x08b9cdb7,
+    0xd9c4626d, 0xee7d25b3, 0x58f527ff, 0x013f0142, 0x5d864321, 0x7e3e1213, 0x1059eafb, 0x11b981cb,
+    0xb403e09d, 0x70a27490, 0xf93acfc3, 0xc901d756, 0xad577f2d, 0x0e067398, 0x7eb59b9f, 0xc7fa4b72,
+    0x0adabdab, 0xc42ce267, 0x4a07fe0d, 0x27b2dedf, 0x854dafea, 0x350eed4b, 0x6aae2622, 0x0787f5e2,
+    0x920099e9, 0x1df2dd53, 0x78d6e20d, 0x50db5e68, 0x8cd8ffa1, 0x11738362, 0x33e9be95, 0xb39b50b8,
+    0x6cdade67, 0x9c0cafeb, 0x0e169642, 0xac9c3097, 0xe7eedf8a, 0xec40388f, 0x70fa5781, 0x5f5cbe95,
+    0x2c5ac61a, 0x24cd0c12, 0x03c3b9d8, 0x6de1c5bf, 0x6539834f, 0x862952f9, 0xf0924f33, 0xe5e7ebe6,
+    0x697a22fc, 0x4c1a3d85, 0x8723f74d, 0x0b2ef338, 0x8beb1f7c, 0x11c84a5a, 0x24022826, 0x45f33ab7,
+    0x11c5f034, 0xa0024fcb, 0x2e4e0fa0, 0x977aa1b2, 0xdc2b32eb, 0xe0e67451, 0x7cd0a572, 0xa454f730,
+    0xb1da1e6a, 0x03b99e2d, 0x563d97d2, 0xeb5546f4, 0x78749387, 0xff9929fe, 0x9b8471c7, 0xf1260440,
+    0x28155fa3, 0xfc33a9ee, 0x9fa4aafc, 0x5f4ecb52, 0x15ae6715, 0xd0e603cd, 0xe1b70efa, 0xaeff404d,
+    0xe1376cc6, 0x7138877b, 0xb7e75204, 0x869c4b9f, 0x9d1caa80, 0x6bcf2ff2, 0x4b073be9, 0x6ccc1453,
+    0xa82dd829, 0xeeb586b8, 0xd653772a, 0xd62a7823, 0xdc5cc125, 0x1ff30f27, 0xb6c2be4b, 0x14d3f447,
+    0x63e43d32, 0x4c221b67, 0x936cf23d, 0xed685718, 0x9f50b366, 0x1bdf6012, 0x033a547d, 0x23f1912b,
+    0x92f769cc, 0x8b70a960, 0xfecf07ef, 0x43956a5e, 0x004b3762, 0x9f144aee, 0xb620a90f, 0xc4d016aa,
+    0xda074f97, 0x99adef28, 0xda9d193c, 0x76d4eb78, 0xed906ba0, 0x57fe4576, 0xa2db5986, 0xeccf9abb,
+    0x16fe248e, 0xf5e41ae8, 0xba661f36, 0x3a0632f0, 0x24a2269c, 0x8d5de99a, 0x9c41c505, 0x63196282,
+    0x95d868d9, 0xd2a675b6, 0xfe08866b, 0x36e5cfb1, 0x869021d6, 0x428506d9, 0x211d9279, 0x78822f11,
+    0x28514bc9, 0xebd241d0, 0xb717fc56, 0xa1affb78, 0x03fbbd0d, 0x101294f3, 0x98e4bd2e, 0xfd608346,
+    0xabede854, 0x3d5af9a0, 0xb82343c0, 0xa2f222f8, 0x7b59de4e, 0xb2849a59, 0xa3ab89c7, 0xdb09b26e,
+    0x5b92bd33, 0x84bd3f73, 0x88944887, 0x5fd4c5c9, 0xb42a8170, 0xe662bc95, 0x00a1cf32, 0x62f46448,
+    0x01f9c904, 0x9c12ea73, 0xed3090e4, 0x1ddff265, 0x8ed0357e, 0x5b1127be, 0xd433dc34, 0x279876a0,
+    0xee0ce0b1, 0xdc4d77b9, 0xa8277939, 0x9fedf0ab, 0x6d97e07f, 0x5f34df6e, 0xdf7e7f68, 0xa8fe3d52,
+    0xcfe6486f, 0x31bd72e2, 0xc34ead0f, 0xe2bec6bb, 0x92ca5989, 0xe2290974, 0x1e766e9b, 0x2698af20,
+    0x357d1452, 0x33fd29d1, 0x825b7c39, 0x04e0d468, 0x6b0967a1, 0xab695572, 0xdb4d6c25, 0x5754b839,
+    0xebdc9e90, 0xc34f9a2f, 0xcd9837f6, 0x60cb4c9e, 0xcbc5bc9d, 0xaf70c724, 0x3349cdd5, 0xe1a9e6d2,
+    0xde7a9b26, 0x0f50605d, 0x3331f9af, 0x896e3a10, 0x47f4dbfc, 0x08389361, 0xcb5bd15c, 0x48e22a90,
+    0xdeda1d00, 0x2d1de366, 0xbaaf8236, 0x769812f5, 0xf08a6027, 0x359d9487, 0x707e76c5, 0x069c0d14,
+    0xd25bfc19, 0xd033950d, 0x16757610, 0x8feb1714, 0x4f9fd94e, 0x85bcc455, 0x6b5caa5f, 0x1fe72ae2,
+    0xd4515bc0, 0xeb12818b, 0x5e3a5625, 0x5dd87bc0, 0x380abc0c, 0x4405dccf, 0x7cf73251, 0x72f562f6,
+    0x672f5510, 0xe2c1900d, 0x9337fe6c, 0x94fbec58, 0x49bf78d0, 0x8edaf68c, 0xcfb2a495, 0x83b0486b,
+    0x1df6007d, 0x28757f58, 0x35af0fa3, 0x36a87931, 0xe7e9c145, 0xfeda34fb, 0xcaa08378, 0x5107cc28,
+    0x11f3e161, 0x43803d2f, 0xcc604788, 0xdb64745e, 0x7f1a1f3d, 0x222a20e3, 0x1b859642, 0x40f713cb,
+    0x4b968fca, 0x24404f41, 0x2bfd833e, 0x94fc246d, 0xe4eafdfe, 0xa6e4a219, 0xd1c30206, 0xdc3764a4,
+    0xc6bf7a76, 0x36b9a615, 0x51255fb9, 0x57191d17, 0xea6e8fb8, 0x85e8b14e, 0x8c85e43b, 0x14670e64,
+    0x67472167, 0x6fab8956, 0x7025f0b9, 0x2d3c609c, 0xa67635c9, 0xa8114fb5, 0x539f532d, 0x5304aa89,
+    0xfd4b1fe4, 0x57039b37, 0xc2412583, 0x2cf319c5, 0x6410d903, 0x87fbbaba, 0x77177a0b, 0x9d1c4e75,
+    0x6db59236, 0xd84ffeb0, 0xe951bc45, 0x48702ec8, 0x0a5aadae, 0x26dab8b9, 0x87e6f0ab, 0x3c1caff8,
+    0xe2f13aaf, 0xcf4eb226, 0x4afc86b1, 0x06ca5d88, 0xd7bdc984, 0xda037df6, 0xcf05f025, 0x0bec0f27,
+    0xa15cfc8b, 0xadc17ced, 0x1707eaa8, 0x676ddaa5, 0xfd2da94a, 0xc3989b6d, 0x11f3e79e, 0x56c169ac,
+    0xd2e9ac5e, 0x19121844, 0xba468b15, 0xa4b061fe, 0x83f2d8eb, 0x220020df, 0x75298781, 0x2c98b7d1,
+    0xc9a7092d, 0xa270c900, 0x29cb420f, 0x3fd50f3b, 0x06058109, 0xc69a07a1, 0x19d171d4, 0x03b22b43,
+    0x22948a19, 0x04d3863e, 0x84c0ad73, 0x17d2fe4c, 0x69788576, 0x7ab70fd6, 0x0e16ecb7, 0xd20e1047,
+    0x3539af11, 0x0e002130, 0xb8ea7499, 0xb94f65e2, 0xec15f12a, 0x4feeee60, 0x36ee2973, 0x67b15173,
+    0x3e6a9f0f, 0x7538b5f9, 0x4f5978f8, 0x703fc123, 0x925e70ec, 0x0b4756d7, 0x2648c90a, 0x0ce27aba,
+    0x227d2edf, 0xb2e1a2d1, 0x95b4b12a, 0x1c0acc2c, 0xaf5f9b98, 0x7397caaf, 0xbdce68a4, 0x86da3f86,
+    0xb8056dbe, 0xfaef00e1, 0x5e8cee08, 0xd72e2c77, 0x2c7596f1, 0x3f168eed, 0xea735a37, 0xf55f5ccc,
+    0x02bb9ff4, 0xa3516d4a, 0x3c1abd1c, 0x71778c02, 0xd47cc586, 0x6b4c8dbf, 0xd0423473, 0x7a581283,
+    0xb358cde4, 0xa9278e86, 0x29e8db38, 0xe2aeeca1, 0xb86c8c34, 0x2aa50cdc, 0xee574424, 0xd58ed135,
+    0xd44f11e1, 0x01e57a77, 0x42f2522f, 0x94bcf563, 0xb1d1015b, 0x53d0d2b6, 0x3be8f7db, 0x31320613,
+    0x4c5374c9, 0xde47ce69, 0xbd719268, 0x4b21f7ff, 0x2bf0d2bc, 0xfa6cde21, 0xa6fec35a, 0x2b7ab1fb,
+    0x6425f8e3, 0xd5ec08b6, 0x37d18939, 0x12f86792, 0xdfa7fb91, 0x5072b24c, 0x20ceb6e6, 0x441554f9,
+    0x573b624b, 0xf6d53897, 0xff7aeee8, 0xb94fcdde, 0x40772159, 0x93aa9e77, 0x10710ac5, 0xa5c45cdb,
+    0x6a301b56, 0x2b26590a, 0x9e0f06c2, 0x89798ba5, 0x811bcd8e, 0xb898d02a, 0x167d0c80, 0xe1047553,
+    0x4e51f76a, 0x28d1402b, 0x93371bf0, 0x9a52418a, 0x9dec1910, 0x62fc8e18, 0x2195129d, 0x293a543c,
+    0x29f9caac, 0x7204003a, 0x3320ab71, 0xe8baec07, 0xfccf4dd0, 0x09ae491d, 0x35d22ec7, 0x754970bb,
+    0x51c29f23, 0x73f22032, 0x9d28be87, 0xa1c5a1f6, 0x75125385, 0x86477dd4, 0x0e0b72b7, 0x29c35fad,
+    0x436a3231, 0x8bfcd893, 0x88482a20, 0xacdf0ce3, 0xa70ceb93, 0xd9e49ef8, 0x07eef33c, 0x930b381a,
+    0x9218efa4, 0x6e754768, 0xbd487c46, 0xc7a99292, 0x88763149, 0x44e90bf1, 0xd4a1870b, 0xd96edf81,
+    0x16a19d4f, 0x5f552ccd, 0xebe05620, 0x1723ef58, 0x9e366cdd, 0xe1e8a054, 0xd52bd2e4, 0x3c72644e,
+    0x110c76ff, 0x46e1d53d, 0x66ec4383, 0x12277e76, 0xcfe32c5e, 0x40339ddd, 0x5e4b5434, 0xd8773689,
+    0x9ee2cb42, 0xfae63d15, 0xbcc3c14c, 0x40e76d7d, 0x34652f60, 0x66b9a30b, 0x124ad5e8, 0xd16e9ce4,
+    0xc15a6817, 0x4685e3e8, 0x03c0a1c2, 0x3864ed78, 0xe2c90848, 0x399a593f, 0x1f1cdd00, 0x2463e783,
+    0xadf8daed, 0x5085e9f2, 0x448817fc, 0x88cb17ef, 0xfb64c619, 0x57229b67, 0xf3c8ed82, 0x79d13d54,
+    0x15d85f7f, 0x3a35450e, 0x6f29a5e7, 0x0a73524c, 0xfa9235a5, 0xab87cef1, 0x47eb5c46, 0xa7b1c8a2,
+    0x2dacb41d, 0x09918f5f, 0xfb0815c0, 0xbe7dbc49, 0x974e3589, 0x82adad13, 0x5d8f2ec8, 0x1e00837a,
+    0x576cbc90, 0xe6e1eaf8, 0x76fe19dc, 0x4a1b7c51, 0x6c1c8e8e, 0xd797f506, 0xb9cdb1b4, 0xde07d560,
+    0x09c27db7, 0x31da10c6, 0x992b826e, 0x79e5102d, 0xeb0d1507, 0x6411c984, 0x846f6142, 0x8f273f61,
+    0x62f87eae, 0x3aa3d642, 0x57c72dfa, 0xe4ae9c6d, 0x1eed7451, 0xa69cadcb, 0x9ef293d4, 0xd8569603,
+    0x87c09bb8, 0xa1ff7834, 0x51bd1b30, 0x5261f8f4, 0xd0a9f538, 0x0dcd93d6, 0xc9add289, 0x2a803923,
+    0x00000000 }, /* 10**00000000000000000000000000000000000806953086902158934267474741250941210728033\
+                         06025913234775958104891895238188026287332176417290004307232371974124148359168 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96,
+    0xc55fe37b, 0x3ad4e91b, 0x6ac8082e, 0x7859d066, 0x50fde9dd, 0x51f3a3e2, 0x4beab63a, 0xd0bd6142,
+    0x00000000,
+    0xa57f9c5c, 0x7509110f, 0x17aa32d1, 0x7921a7aa, 0x72ccbd86, 0x503456cc, 0x7ce5575a, 0x7b4c3f97,
+    0xd0c7df96, 0x51928009, 0xd6eb0e66, 0x985cdcc5, 0xcc0cee3a, 0xd7309c15, 0x95d25f25, 0xe011f59a,
+    0xd152c438, 0xce3e0ef4, 0xdb173804, 0x97e85e94, 0x88c261eb, 0xc4e8cc17, 0x1a9fbcb0, 0x18d5e99e,
+    0x0f5f56c9, 0xf7c81a11, 0x412a9eb2, 0x94abd5f6, 0xbd9aba83, 0xb14deb8a, 0xaffab16d, 0xc32c5371,
+    0x4bffc172, 0x6af4e30d, 0xceb9037e, 0xf2ccf69e, 0x28fcd913, 0x899859bc, 0x28ccec02, 0x735140a5,
+    0xc35ffcf0, 0x22815d64, 0x97fae6b7, 0x37f7fd5c, 0x5575f3d9, 0x058e9d9b, 0x4b3358da, 0x31ba5333,
+    0x316c840d, 0x0e1860c0, 0x3bbe6ac8, 0x3ece9fc2, 0x5971cebe, 0x1b69aba2, 0x99f4fb88, 0x2395cd06,
+    0x8498d2dc, 0x62fe0660, 0xc35d3991, 0x66bb3df0, 0x8b7ca86f, 0x2c969882, 0x846f998f, 0x3ff2c54a,
+    0x6ceed961, 0x51b8ac28, 0xf1efe182, 0xd36c4b59, 0x003e8118, 0x76899dde, 0xa476f33a, 0xe6085fd7,
+    0x196f6e59, 0xe1079c00, 0xd7cf7974, 0x43120b91, 0x94c3d830, 0xd2090e9c, 0x77a7daed, 0xe75c666d,
+    0x1e2ed67e, 0x1a0e9881, 0x6ca673f8, 0xdb3bbbba, 0xb1bd060b, 0xd3aa47f1, 0x375e0859, 0x4b557c24,
+    0xdee585bc, 0xf6e93567, 0xc88967d1, 0x2764bcb6, 0x03e7c60e, 0x361932c4, 0xd3158b4b, 0x54d2194c,
+    0x181aa298, 0x77954fea, 0xae6ef0fa, 0x046237df, 0x3d3b1591, 0xc3ab083b, 0xa408b15a, 0xcb5eee29,
+    0x57c79747, 0xc68a76f2, 0x67dc3d5c, 0x0e9a9331, 0xaf1c2ffb, 0x37cffb73, 0xd8acc0a7, 0x81caf073,
+    0x83815621, 0x27516b5a, 0x736a8a49, 0xd3af1c7d, 0xfba9b25c, 0x0c788550, 0x57eb7ba8, 0x54483e8f,
+    0xe8f88556, 0x2cd220aa, 0xaaa298b8, 0x2cfb457a, 0x12c7b4fc, 0x1785f688, 0xfa659ad9, 0x0524efbf,
+    0x1123b085, 0x4313be16, 0x38900386, 0x4c7ecb6c, 0xd192b01e, 0x90264348, 0x78d1d15a, 0xad680ce9,
+    0xfaf8983f, 0x01ada406, 0xb74f76f7, 0xe37b9aa6, 0x6b137b66, 0x491efab1, 0x97ff7fea, 0x58946954,
+    0x76bf761c, 0x8e087646, 0x37dc645e, 0x3b012f4d, 0x7d16ce89, 0x5440eb29, 0x832116a4, 0x73b0e1d4,
+    0x01bdfb9b, 0x40606432, 0xec268c9b, 0x5e882e8f, 0x356cc384, 0x9837b38a, 0xbba830c7, 0x975116ca,
+    0x7eb7817c, 0x737e1b48, 0x7128e2e0, 0x95d1a521, 0x4530482d, 0x5bb1ecca, 0xef65ed3f, 0x74614703,
+    0xc2a6f658, 0x9033ac74, 0x13493cfa, 0xa682ca54, 0xea80be77, 0x47f274f1, 0x5ad24ee5, 0xe075c9fa,
+    0xe361f410, 0x22c8f3aa, 0x782cffcb, 0x963d503b, 0x03b8f57f, 0x29531814, 0x61e00ab2, 0xb61e5b29,
+    0x8940d260, 0xdf4ce6bf, 0x2d1343b6, 0x50b492cb, 0xba27ff37, 0xccef234e, 0xc095afbe, 0x3696116c,
+    0xa07be440, 0x9bf74099, 0x2cb6c8d6, 0xf94243c0, 0xea197eb8, 0x1757a290, 0xf94e2bba, 0x92e62472,
+    0xd35b74f3, 0x9747d43b, 0x23ae78cc, 0xa314523d, 0x446e9499, 0xa5a719ca, 0x72b97bc4, 0x7fd6b664,
+    0x8f3edc5e, 0xd10325ee, 0x1792cd55, 0xda5befb7, 0x77d8885d, 0x8a8fe9d0, 0xd09637d8, 0x2f28d0bf,
+    0x65ec04cb, 0x5df9b5ea, 0xcd31c96f, 0xe470b40c, 0x419e471c, 0x513cad55, 0x94be5e51, 0x91218ab6,
+    0x9e7f7c68, 0x7777fc94, 0x1e4b2a71, 0xa852c6a6, 0x252d666b, 0x4f90a8c4, 0x68434d48, 0xdcc79bd0,
+    0xb158b12b, 0xf0718279, 0x6d2e5a31, 0x9b77e8c6, 0x5de2e596, 0x0eaf3036, 0x32818bf3, 0x4fb04286,
+    0xa284a26b, 0x3c8c370f, 0x89e8d562, 0x691b6756, 0x49b419b4, 0xb9d37921, 0x7a4aa078, 0x188ccbe2,
+    0x7e80347d, 0xc7cbb4e0, 0x4a6d60c2, 0xcf196500, 0xffe1241c, 0x9cefcf1b, 0x4af0d199, 0x69e84731,
+    0x8777ad76, 0xd3713b9d, 0x114f2e20, 0xf4117f1a, 0x7e567236, 0xb05737d7, 0xe60ff9b1, 0xf98d61fb,
+    0xc1e1d6e2, 0x2e4e118e, 0xf4271df5, 0x6075c145, 0x4385ec5b, 0xbabf1efe, 0x5458aa1e, 0xbaafaf9a,
+    0x96a9c94f, 0xe366030b, 0xabb502fe, 0xe61f1deb, 0x23aa4e95, 0xefd900c9, 0x734cd7e9, 0xec9997f5,
+    0x04c437de, 0x4649c1a3, 0x77cb5c7b, 0x612ef4a0, 0x8cbecf9a, 0x1b4becb6, 0x23bbf916, 0xf7c5a75b,
+    0x1f4c1437, 0xb2457842, 0x21b1e4e7, 0xea43fbc3, 0xfa3d93fb, 0xf13394c3, 0xc6d98a6c, 0xa2dc929a,
+    0xc63631a6, 0x2b9a5c0b, 0x5c719841, 0xd9e90b65, 0x942c16e2, 0xce74ad63, 0x491e9ba9, 0x2918380e,
+    0xa61dcbf6, 0x10773141, 0x39c52b08, 0x5614c973, 0x890a75d7, 0xd59e5f1a, 0x853d2657, 0x0a4816a7,
+    0x37c919c1, 0x92d41927, 0x1ef77218, 0xbc6a379f, 0x283478b5, 0xdeaeba13, 0x57ac3365, 0x03f3155f,
+    0xe952b298, 0xdf284937, 0x1fe1ae9a, 0x25f66a20, 0xc9de4d4f, 0xdcea0d23, 0x93e48ae4, 0x482a471f,
+    0x5375ed2f, 0x0c546c7e, 0xb0981269, 0xa3c8ed78, 0x448df3aa, 0x733a29ee, 0x0e9a7feb, 0x10a4c655,
+    0x0221cb2e, 0x92391894, 0x226299bd, 0xe0fd2813, 0x074a6a36, 0x2d0ec2db, 0xae868c20, 0x4d14c05d,
+    0x3103e9ca, 0x661d8cb3, 0x4f71ca69, 0xb806141a, 0x3082f346, 0xf03e44c8, 0x90664104, 0x9b6da547,
+    0x233dfb6d, 0x3a56109e, 0x2c0c5d96, 0x5211e103, 0x5b6a050c, 0xbd1b49c5, 0x953caeca, 0x3f7bcc43,
+    0x0d1a33d6, 0x6f69b80d, 0x9dbc369c, 0x466f383f, 0xe0c757da, 0x0eec3cb9, 0x765ac04c, 0x60723eac,
+    0x3573f661, 0x138f6e3a, 0xdb7e65ed, 0xadbf4ee1, 0xb568b561, 0x5d4e0af2, 0x920244da, 0x6328d017,
+    0x80c1d639, 0x17c387cc, 0xd74c1706, 0xf4d45ae8, 0xaf690c29, 0x1f6d01d3, 0x10727e21, 0x7302d18e,
+    0xfc8fa107, 0xd6662a23, 0x3d265c53, 0x7ae41183, 0x6885215e, 0x6b03ad48, 0x0daebd58, 0x3d53bb2b,
+    0xd5e77c82, 0x4ebf44a6, 0xae41d12e, 0x6820a1b0, 0x66112673, 0x08ea4eee, 0x0557b193, 0x52ed99a9,
+    0xe990d663, 0xfa99a871, 0x8078929e, 0xdbde42a7, 0xa9df3f9a, 0x465482b6, 0x49602c62, 0x18729097,
+    0xfc4b2081, 0x5cb530ab, 0xf6b4db19, 0xb488a42a, 0x61983f27, 0x014a0ce1, 0xfce7a482, 0x7379ef87,
+    0xe775c892, 0xe87fc02d, 0x48a103e4, 0x639fb83b, 0xca64df38, 0xea97af45, 0xaf09115f, 0x336f8747,
+    0x76ddaaf8, 0xb1da5a9a, 0x70015448, 0x1409ea50, 0xdc6ef572, 0x613bd0d0, 0xf999414b, 0xb99deaa3,
+    0x28ac8585, 0x2d5143c9, 0x9c66f69b, 0x99eff87a, 0xf63f2f8f, 0xd2a4f051, 0x7024c5af, 0x16374532,
+    0xd8cfb8ca, 0x3bb6c6a7, 0xcebccd66, 0x18911e2d, 0xb520785b, 0x740e21a8, 0x24b491fa, 0xe55d9a1e,
+    0x3ede12f1, 0xe46cd0cb, 0xa17bcde6, 0x6bb47407, 0x560105c9, 0x72be8d41, 0xc08fd44d, 0xe1b9aaa2,
+    0x0ea3be19, 0x1e51a1fb, 0x905ccebe, 0xe5b396f4, 0x5d148e1a, 0xbf22f74d, 0x857988b2, 0xe72ea787,
+    0x89fc33af, 0x44523c27, 0xe8a612c0, 0x078b8f59, 0xdbab8726, 0x662a4920, 0xc62cc781, 0x3d0f6eab,
+    0xd4bb3469, 0x42cec725, 0xe86323ea, 0xa8408cff, 0xbb611245, 0x7009c202, 0x9a069322, 0xfc9b1d1b,
+    0xe81d3eeb, 0xdd873be9, 0x0ef9e1ae, 0x2505a0b6, 0x17394559, 0x9ec8bc72, 0x5b8270a2, 0x1e78474f,
+    0xc0b7bdfd, 0x8e41b5bb, 0x28f0cd49, 0xf0cf007b, 0xa74d107d, 0xa747d63a, 0x52a4baed, 0x4019196b,
+    0x7a9beeb0, 0xb52e98c5, 0x7fbbdbfa, 0xba47ab9b, 0xdb9b18fd, 0x8422dd97, 0x2e0d6045, 0xc845b4b4,
+    0xd978bfe6, 0x1c0ed99e, 0x1ec893be, 0xeb06d710, 0xa6c1395a, 0xa1e33170, 0xa8223d48, 0xaee07d81,
+    0x105e6e65, 0x633983ce, 0xbdff788e, 0xcc57f2a1, 0x5f3b86b6, 0x143655b0, 0x911ea348, 0xae5e6663,
+    0xdd200ef9, 0x98a1b0f9, 0xb4c8126a, 0xdebf4386, 0x3726401e, 0xe77681a6, 0xcd7c1d60, 0xff0f3d3d,
+    0x4ce52f6a, 0xb624e617, 0x1331e3fa, 0xd2debce1, 0x81145e3c, 0xadffdd03, 0x034ac8eb, 0x1a9c705a,
+    0xe3b41a6d, 0x8979829d, 0x1d5d0ec9, 0x02a1b75c, 0x1b2802ab, 0x7dbbd74d, 0x4ab5d5d1, 0xb8c84ec5,
+    0x07b72b3c, 0x5bebcd2e, 0x943f7aaf, 0x9dfed8b7, 0x458fbf15, 0xf125467b, 0xe58ff78e, 0xcbbbe9b6,
+    0xab7f58c8, 0xa7b51960, 0x9f33304b, 0xa3c6bf3a, 0x64b6a002, 0x63ccbc98, 0xad498042, 0x5cd163cf,
+    0x7627a2cb, 0x940a41d4, 0xb8535bfa, 0x6f33da9d, 0x5448c163, 0xb2f6185b, 0x4f41bebd, 0x2cef94e6,
+    0x5ad287a0, 0x40664dba, 0xe116bca2, 0x2c81b1da, 0x629915cc, 0x28aed4f7, 0x80784a7e, 0xa8f2eee1,
+    0x47141eb0, 0xb1b4e06d, 0xd05cbec3, 0x7e3da687, 0xe7f1b568, 0x8452fd4e, 0x9d6e3c73, 0x876c7ac0,
+    0xb599c946, 0x6e565414, 0x6b8b1d50, 0x4456c43c, 0x9b911687, 0x79e2086d, 0x10286cc7, 0x9b874103,
+    0x8a2bf11a, 0xb74e6edc, 0x276ae94d, 0x2b510b4d, 0x3b215649, 0xef1b203e, 0xd4646b52, 0xef6bce67,
+    0xe06c2fe3, 0xfe05555a, 0xa7e2572f, 0x7155c44a, 0x3797c89f, 0x8b89e5fe, 0xbbad7615, 0x7a103088,
+    0x2419f809, 0xfdd8fbbc, 0x14afda41, 0x42f5d433, 0x81e7ea74, 0x80dde27d, 0xe96ebd9a, 0xf32373a0,
+    0x1abedf6d, 0xd57c6175, 0xda2ad183, 0x4985c7ab, 0x07edcbc3, 0x3f8b3a2c, 0xe90a1d62, 0x5cb9e8ae,
+    0xf1ceacd9, 0x75b46ec9, 0x0df13080, 0xd289794a, 0x6e99f663, 0x466b6aec, 0x68bb94ea, 0x0d558fd0,
+    0x76c9941a, 0x774f877d, 0xb8fd16a4, 0x1e3ace46, 0x62f7a6d5, 0x600268d2, 0x6a19723a, 0x91e012cf,
+    0x29074b7f, 0x4258abfc, 0xae84ac0d, 0x69defff3, 0x948be09e, 0xa05eab12, 0xc0fe8f4d, 0x3857a45a,
+    0xa527c67e, 0x2c10f621, 0x0b6b20b2, 0x35594c9d, 0xe8106bda, 0x2945b284, 0x39482fc7, 0xa908bfd0,
+    0x2acd0ade, 0x4ec866ec, 0xb2a038b7, 0x11cb3f9d, 0xc8ef382d, 0x4e814f8b, 0x77648b83, 0x38558d87,
+    0x6b5f124d, 0x0bad6505, 0x461a9e9e, 0x171e0b83, 0x82df1c37, 0xba951c87, 0x1fa6976c, 0xfdd8180a,
+    0x21d70757, 0x65a2d9b4, 0xe258d219, 0x1d76c7f7, 0xe80d57ff, 0x27ffa348, 0x37aeb8ce, 0xef51ce28,
+    0xc911325d, 0x08d1104b, 0x8501384e, 0x275fe630, 0xb52b8a3a, 0x1d19522d, 0xebaa5f0e, 0x6d67fd9a,
+    0x26148eae, 0xb0ceef5f, 0x6e999c3b, 0x1e1d90c1, 0x74c805ab, 0xd7874e8c, 0x2cb4a5ca, 0xee3cce6f,
+    0x0cb0c4e0, 0x0499d0a9, 0x30395673, 0x9e5cbe84, 0x3fcaac02, 0xb4fd1cbc, 0x01d39503, 0x2e466161,
+    0xda6b9bc1, 0x225d87cf, 0xd4f20589, 0xdb26d492, 0x5ab6cf21, 0x433737cc, 0xa51c8ba7, 0x3494237a,
+    0xa5d957ac, 0x2678b80c, 0x1d0e59f5, 0xe71549f1, 0x155022f6, 0xd9af3f05, 0xb4385144, 0x422cc7ed,
+    0x587ecd85, 0x01ee931c, 0x512ca719, 0xda94a265, 0xc38c8463, 0xc97b6736, 0x9d880f1b, 0x4b28d467,
+    0x2edf2d89, 0x1501adc6, 0x8dc0e051, 0x44982b0f, 0x9c6bb00b, 0x39cfda1c, 0xaf4f5421, 0xfc2cf7cc,
+    0x17610f94, 0xef679c47, 0x36affdea, 0x85dcdfe9, 0x130d9cb1, 0xc63b0758, 0x9b167b46, 0x07e18841,
+    0x419b35b3, 0xcf5ab532, 0x7383a230, 0xf893e6b3, 0x4925ea0f, 0xc4fbd3d1, 0x8b2d5ee0, 0x53b94c02,
+    0x8f709f2d, 0x9472d6f1, 0x0a5ea60a, 0x313b85ac, 0x398a2fab, 0xad0274b0, 0x57351dee, 0xa2673089,
+    0xe62cdc91, 0x244f9801, 0x41ad749c, 0xfc900d19, 0x7d8de7eb, 0xdbc008c7, 0x95150dc8, 0xde133737,
+    0x1f194f03, 0x966c6a3a, 0x9df38310, 0xd6029276, 0xf140de61, 0x8c18b477, 0xf7476eaa, 0xe630354a,
+    0x775e96cd, 0x8c43c558, 0x240df1d5, 0x670f34ee, 0xfdcffd56, 0xfb7fb6da, 0x91e41131, 0x9ce93a8b,
+    0xee590b75, 0x21755809, 0x4098ee8c, 0x03474b7e, 0xc7849518, 0xa0cf6650, 0xeacce6e4, 0xb227a0f3,
+    0x21fe5521, 0xf280ec39, 0x3e0752cf, 0x21eea732, 0xd0bde3ad, 0x8587ef37, 0xd1f0de13, 0xb33c360a,
+    0x8bb8355a, 0xec3604cd, 0x38036536, 0xf0b3c896, 0xbb271dc7, 0x8a7ce12f, 0x4d3eba3c, 0xe00ae1b3,
+    0x3c30db1c, 0xfd1fdd7d, 0xeccce802, 0x5a9b75ad, 0x04bbda51, 0x5b555e41, 0x644f254a, 0xfc0863be,
+    0xe9f7435d, 0x702ae883, 0x841c199f, 0xcc3f7881, 0x12f3003a, 0x2c128e60, 0xfb271bd1, 0xaa42599f,
+    0x511bd4c7, 0xf1c0188d, 0xa8a5a03e, 0x3f25f710, 0x1c4c8227, 0x229a37cc, 0xdcb128d8, 0x3df69945,
+    0x77fa4ab9, 0x3c18627b, 0x8a1fd20d, 0xf39a5843, 0x9f47769c, 0x376f0a28, 0xd96da57d, 0xbea90d56,
+    0x94a9c3ab, 0x2ed7be68, 0xfbbd7050, 0xf5e9bcde, 0x9fbffaed, 0x7d341654, 0xc63ac989, 0x2bbc9576,
+    0x72bf5caf, 0xce837cf8, 0xc7e589ac, 0xb07c150d, 0x339ecbc0, 0xdcdec04a, 0xf9caf306, 0x5b9b6cbf,
+    0x5bc1c7b8, 0x9e042165, 0xf7a92ec3, 0xf14d1924, 0x6b988f71, 0xcb8b50d8, 0xbb3c7254, 0xeb3b2460,
+    0x28a4ed46, 0xc8cc9699, 0xba8077ce, 0xd31747c9, 0xc6a90421, 0x352145d3, 0xa054c04d, 0x7dba44b6,
+    0x92ae0093, 0x62326fac, 0xc7df2797, 0xb40980ef, 0xc5553a77, 0xd059d42a, 0xe7e8e97a, 0x25d04890,
+    0x770fb0b7, 0x84d398e1, 0x070cc60d, 0x2126ed1a, 0x42b3a426, 0x571b3a8b, 0xa6aa2f7a, 0x2a6946fd,
+    0xa989ba8c, 0x4ce0658d, 0x63084eaf, 0x7c9876db, 0x0b93bc5e, 0x9545a1b6, 0xf648925c, 0xee355d02,
+    0xaa1d07b9, 0xfef93bfb, 0x48b8f380, 0x88e9a10e, 0xbb6b2107, 0xcc4929b3, 0x8d80aa10, 0xa91993ab,
+    0x35088798, 0xf2565f85, 0x52597c4b, 0x8875829d, 0xba717ba1, 0x720c39f2, 0x79ebb72a, 0xa2037c45,
+    0x4ab96a1a, 0xe4034717, 0x8055b037, 0xab1d993b, 0xc2a2eb01, 0xb0e53d24, 0x80292f3e, 0x92d2cf2b,
+    0x4768e163, 0x1259fdb0, 0x82664927, 0xa9ccd457, 0x5897fd4d, 0x213cba3d, 0xcbb5c47c, 0xc0b721c8,
+    0x274856de, 0x7847a8e7, 0x727522b9, 0xc4529557, 0x3c33ed29, 0x48ae2ca8, 0x22d9a46b, 0x964283e2,
+    0x739e4a9f, 0x7af079d1, 0x932ee06c, 0x4f8eb9e4, 0xed8bcbd3, 0xa0abb3c1, 0x559fc205, 0x45cf9896,
+    0xc575536c, 0x6a7ba4d7, 0xf39a14a3, 0x2726f5fe, 0x2b72684d, 0xc8ef8b84, 0x71575d1a, 0x3b8b0f04,
+    0xfff3d360, 0x33170061, 0x1407a33a, 0x9cc10df9, 0xcf8e2978, 0x3b98368c, 0x047c9e15, 0x7bfbc7f9,
+    0x14ccccf8, 0xdc823cc3, 0xf0889ffe, 0xdc64cb17, 0x5314c85d, 0x525dce3e, 0x74fb2aea, 0x1f9ae982,
+    0x60e59a76, 0x7da8c3d5, 0x16a53719, 0x8538414d, 0xdd2beb50, 0x6087df32, 0xfa3fab8a, 0x8a64f43e,
+    0xd6fe2168, 0x6c487771, 0x5fa37682, 0x62a2603c, 0x536798a0, 0x6d3dcfb0, 0xcda011dd, 0x8944baa3,
+    0x88d06f9b, 0x74b9e4ff, 0x5e400e15, 0x9034b5df, 0x74725aa8, 0xc1c938e1, 0xb853e39f, 0x629ed33b,
+    0x7e505bb5, 0xb414c9da, 0x6a3874a2, 0x324f544b, 0x33f65bab, 0xd945c4c1, 0x7d22856f, 0xc10113a8,
+    0xf585853e, 0x7376ed18, 0x0bae44e4, 0x781e000c, 0x52fadc13, 0xa315f991, 0x76450cdf, 0xbbee0bbb,
+    0x00000000 }, /* 10**00000000000000000000000000000000000403476543451079467133737370625470605364016\
+                         53012956617387979052445947619094013143666088208645002153616185987062074179584 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb,
+    0x62aff1bd, 0x9d6a748d, 0xb5640417, 0x3c2ce833, 0x287ef4ee, 0xa8f9d1f1, 0x25f55b1d, 0x685eb0a0,
+    0x00000000,
+    0xcdd57d14, 0xa70eeba8, 0x7cc209a3, 0x97c07f47, 0x5417b50c, 0x8a679ff1, 0xd4edb567, 0x728df75b,
+    0xd7f8c29c, 0x01709ff9, 0x592699ca, 0x2b0ab277, 0x6b92e18b, 0xbd5a2544, 0x0d3955bd, 0x09eaf767,
+    0x7863e144, 0x6e200988, 0x90e34805, 0xf9e2675e, 0x49a4a960, 0xbad600d4, 0xaf9597b9, 0xafa13b3a,
+    0x6137c471, 0xc583b3e4, 0xc3f4e0b5, 0x433b6e33, 0x070e8c7b, 0xabb77c39, 0x3db8d6ea, 0xb96135d7,
+    0x06e7fb95, 0x442f2802, 0x7acfd877, 0x1e2c0fd6, 0xe4caf5b8, 0xaf46fb2d, 0xb64e53bf, 0x853206fa,
+    0x130cb296, 0x94fb4577, 0x15bf263e, 0xe412b071, 0x883352f6, 0x49f2f0d7, 0xd7228228, 0x1a109e0d,
+    0x4b764979, 0x271e2670, 0x87c1568c, 0xdc91f9aa, 0x8ffac509, 0x3d0f019c, 0xf016d9a4, 0x2abd57d3,
+    0x722da697, 0x266621b6, 0xf422ff95, 0xb099d271, 0xeb6647d8, 0x4e4a6446, 0xc4355936, 0x21c6002c,
+    0x27ff01f5, 0xf0549b19, 0xd26cae1d, 0x534b5f6e, 0x67ed3c30, 0x1d4ac4cb, 0xb5d5f03e, 0x23712a6e,
+    0x263847ad, 0x34018672, 0x6f3e95cd, 0x739629c5, 0x4e48374a, 0x14aceb82, 0xd5a34b24, 0xe6012995,
+    0x08c9bb7e, 0xe2a0789c, 0x24c80c9e, 0x0ea8b27f, 0x7fcc200b, 0x31494660, 0x37e1c779, 0x50c4b6b5,
+    0x98403947, 0x7f759e61, 0x1307c30a, 0xa20e1e7c, 0x72b7a394, 0x8909bec2, 0x2f59bbb0, 0x77869efb,
+    0x648440dd, 0xbf89f3a9, 0x8c1507bf, 0xcbaa7208, 0x5194d95b, 0xb164e378, 0xf8589f84, 0x1b368dd6,
+    0x41697953, 0xea151ccd, 0xeb966b7b, 0x6697479b, 0xc784a1a7, 0xa610feca, 0x4acae060, 0x08256568,
+    0xa30ee244, 0x04b089ed, 0x54a4a69a, 0xd1a03f16, 0x2da2272c, 0x86b8fc9c, 0x727d8de3, 0xc4a6f288,
+    0xc1d76f75, 0xd1539283, 0x9e4016fd, 0x1e3db4e4, 0xcc6ab0fb, 0xcac08155, 0x2915d56a, 0x910e2925,
+    0xd7c253f4, 0x927600b0, 0x99ccaa14, 0x4acb11ed, 0xdbd61b57, 0x6f3fe1ac, 0x0a6a83eb, 0x2462e43b,
+    0x137225e8, 0x24cf0ccf, 0x2170fc45, 0x5ec44a06, 0x5eb5d32f, 0x0a682356, 0xdcf09532, 0x97b24e76,
+    0xb8c43f74, 0x7f8a4633, 0xd02f9947, 0xa010d73b, 0xbcf4ec8c, 0xe929bd0a, 0xa9daa5e5, 0xdf7d649d,
+    0x9b665466, 0x1a36ef86, 0xb08e0158, 0xb751c7c2, 0x0cf125ef, 0xdc945bdc, 0xbaffc8ee, 0xaa4e8b05,
+    0x538be57a, 0xdc7eed05, 0x036b73d0, 0x3fa4148f, 0x56088524, 0xc391ac7a, 0x0a87d7d4, 0x16305153,
+    0x4661c91d, 0x682d16a6, 0x49b0fc99, 0x1efd0326, 0xd08a312c, 0x95024127, 0xb3b26f73, 0x81cc8153,
+    0x5b25ceff, 0x8e0d7887, 0xd7cd2abf, 0x3c2bad0e, 0xbfc5ac6e, 0x08979fb2, 0x0a6d8cfb, 0x350e2c32,
+    0x04358e32, 0xa63c16d9, 0xec22358a, 0x1ca5f35d, 0xba43ac3d, 0x126533d6, 0x058aead6, 0x1d3e869e,
+    0xaf34ae09, 0x2511f1d1, 0xdb2b0ccc, 0xb92a8bf1, 0x6d4cd8c7, 0x4cacf071, 0x2f5b9591, 0x853487ce,
+    0x6a6246ca, 0x9c6a4fde, 0x3dfa5174, 0x86f3110c, 0x3fc32504, 0x84bfe784, 0xcca941c3, 0x6abaaf54,
+    0x7eaa7750, 0x87ed35eb, 0x61e85387, 0x917f7568, 0xe3793af8, 0xf0f6e360, 0x08f60320, 0x450b2717,
+    0xfdbbea4e, 0xefa84a1e, 0xb5c802a1, 0x8dd0e6a5, 0x82955e96, 0x009421b9, 0x179a6bf5, 0x1d88bddd,
+    0xc817d8b3, 0x053b5a85, 0xa28ae4c2, 0x80f570f2, 0x5902e4c2, 0x98fed498, 0x6ff10cb5, 0x29795da2,
+    0xa94cc37b, 0x9ef1d1f9, 0x00849f61, 0x4d0ab7f9, 0xb2e75b77, 0xd32aebe6, 0xaf901346, 0x1c857401,
+    0x035c2a00, 0xc8c3142f, 0x9f660af7, 0x25851bc0, 0x95d4d21e, 0x18816204, 0x63e63655, 0x0133857a,
+    0x141665a8, 0xd24618df, 0x3ef82b0d, 0x7e78259c, 0xefbd8161, 0xcb2d675f, 0x58b3cbea, 0x91dd01b0,
+    0xceb7a084, 0x01a12c73, 0xffaa3922, 0x97187424, 0xa5dde494, 0xd5a54ca4, 0x1985ae30, 0x6e573942,
+    0x9fa4eb0a, 0x026b96f8, 0xf1323605, 0xeb8ca6bd, 0x6a42ec0f, 0x87753c68, 0x596531ac, 0x6c4cbda3,
+    0xbbad8bb2, 0x94b5f392, 0x754e8b0f, 0xce4c7b4d, 0x1888f756, 0x3f4045c0, 0xc9405a55, 0x98826812,
+    0xc208a3a5, 0x0f3667db, 0x56a9de39, 0xd3938884, 0x2c738da2, 0x438afff6, 0xbcc09e19, 0x144aadca,
+    0xf5524940, 0x2c3f020f, 0x39442b56, 0x749ece41, 0x6509573f, 0xe554dd3f, 0x885b6fee, 0x956d4f24,
+    0xa3805841, 0xaa9171c9, 0x8c5a1013, 0x3f99aa13, 0x5591497e, 0xca761408, 0x74afdf1f, 0xe9eaffe2,
+    0x0123e3f3, 0x08f94aa8, 0xacccb6ee, 0x6a9347ce, 0xa86d0cb6, 0xc874068b, 0x73602b2b, 0xcc3d87e7,
+    0x4eb004b1, 0x0248a989, 0x5acd57fe, 0xc5c9139e, 0x682ce8c5, 0xd6dd6e49, 0x770643f6, 0xe2f329ab,
+    0x15800c69, 0x001a04b7, 0x248b49ba, 0x731a205b, 0x60152e48, 0xe3d21c06, 0x49e020b2, 0xabd889a7,
+    0x405e58fc, 0xcff2fa66, 0x0639c5b9, 0x85eca58b, 0x13b008a6, 0x1a655517, 0x0d516350, 0x5efbe756,
+    0x46ecce39, 0x68cc3139, 0x8d526183, 0x045cf6c6, 0x75404d30, 0x31362a90, 0xd7f8a3ee, 0x4aac4ae6,
+    0xe3f9908c, 0x6364cd19, 0x8e4a0089, 0x2e8ab4f8, 0x0758b5da, 0xb31d1113, 0x7f6e00fd, 0x6b76ef53,
+    0x9a44c2fb, 0x1dce94f2, 0xda87da7a, 0x9d29cbcd, 0x4feb4dd3, 0x39a56d2d, 0x23510abb, 0xfc935763,
+    0x4fb1c08b, 0x057c2921, 0xf7d905aa, 0x6302f342, 0xd902cc3d, 0x8f0d5703, 0xbc6bd4f8, 0xd5872e6a,
+    0xf7dd69a4, 0xb0ca0eda, 0xf4eaa990, 0x3fa0b860, 0x3f8a58c6, 0xbd967d49, 0x1c6ca120, 0x0f22cc86,
+    0x99b85e14, 0x37cdc4dd, 0xb6842b51, 0x38b64651, 0xbe2ac2c5, 0xa89ce353, 0x86d19a57, 0x0eab3493,
+    0x0eb7b4e2, 0x58bbef5f, 0xd12a8564, 0x3accafb9, 0xaae6056d, 0xb5761c90, 0x024e2346, 0x5c6c2bad,
+    0x69d81ea7, 0xf8dc0f77, 0x53918f8e, 0xcdf5226f, 0x53596a2f, 0x75922445, 0xdc53028f, 0x1af4ad01,
+    0x41ef46a6, 0x49617786, 0x82ea6dae, 0x84caef85, 0x2e2d9384, 0x0fceb693, 0xbd13540c, 0xd931bc29,
+    0x7c975b19, 0x6fbefc1a, 0x835836cd, 0x3a2e4416, 0x51c2860b, 0x2511e1eb, 0x532ffb66, 0xe75f9446,
+    0x0730748f, 0x90cb7003, 0x378aa806, 0x232573e4, 0x50af7f88, 0x77e4fdc3, 0x878d19a8, 0x834b71e5,
+    0xf062c173, 0xe0b80503, 0x8bdd1ce5, 0xde92fc9b, 0xf98b1a29, 0xf5241584, 0x77f133c8, 0xba7f0981,
+    0x14631e46, 0xa38e972d, 0xf5b1bb38, 0xc6aec750, 0xde30312b, 0x28908683, 0x17052c20, 0x67207e91,
+    0x6eb1931b, 0xf65d21f8, 0x113ecbae, 0x59c6c87a, 0x62252251, 0x880ed568, 0xb3d72600, 0xa989a591,
+    0x44395705, 0x412c61f4, 0xe80e313a, 0x446a79bd, 0x8e625e31, 0xf05504cf, 0xe5a0d559, 0xc466af83,
+    0xe1b6c164, 0x994f2db9, 0xb0f6cb6c, 0x0074e65f, 0xb90a02db, 0x78382b70, 0xf48bcdb4, 0x392f57e0,
+    0x3bc670d5, 0xe93ebdfb, 0x5182b632, 0x800020f1, 0x0521bd18, 0xcbd7edc3, 0xb2c7e329, 0xa016c42c,
+    0x2ebc754b, 0x989e5651, 0xd3194e8b, 0x043bfcb6, 0xca1dba70, 0x1c01c367, 0x70cdfcec, 0x69fd385f,
+    0x58ed5b98, 0x4247de92, 0x5e598b17, 0x80230ddd, 0x2aeefd4b, 0x5189a113, 0x00f8881c, 0xb6f6f1f2,
+    0x99ab70d3, 0x4bc7d2ba, 0x8ed24cbb, 0xaa12eef5, 0x43918da2, 0x29c4bd42, 0x5c9b5375, 0x1bb41505,
+    0x42770ae9, 0xe4cb1084, 0xd241c5be, 0x70e39d82, 0x99282fe4, 0xbd144c00, 0x1d8f7ee3, 0x87505d80,
+    0x71f1099e, 0xbf8ccfce, 0x8415e53a, 0x80f91209, 0x8fac4180, 0x5326f970, 0x744c3fa0, 0xb4f5bd77,
+    0xad555be6, 0xc1c77e1c, 0x602cee30, 0x3074f0ba, 0x11e6cae2, 0xa6f704e2, 0x040c3c11, 0x7078cd00,
+    0xc558485c, 0xb317db21, 0x4b5663dd, 0x38d5c840, 0xc95cc872, 0xe5770f15, 0x82e5988e, 0x5bee4423,
+    0x9ab56836, 0xd4e3288f, 0x7190a54c, 0x0cb80eae, 0x0059cf1c, 0xfed67b9c, 0x59dcce36, 0xd605e90a,
+    0x3f089759, 0xf5309768, 0xd1be743b, 0xd5ec7c5f, 0x420fb527, 0x63f5f97c, 0xcd92bf97, 0x98287d39,
+    0x4c7ecda9, 0xe22347ca, 0x0cce4a71, 0xf005e4ce, 0xc6eb7063, 0x6291063b, 0x7e05c619, 0xa9cda54e,
+    0xd60a4c96, 0x5b8748d6, 0x65d2c846, 0xc8cc26d6, 0x99737138, 0x35a7c6c7, 0xc6084d5d, 0x59744836,
+    0x83d109df, 0x90b468dd, 0x6ea4cde6, 0xfd53bedd, 0xeef4af77, 0x991ed3dd, 0xd1b26558, 0x040e2621,
+    0x5fce7c9d, 0x33d22850, 0x259d7c45, 0xebf60891, 0x17e2f095, 0x207f907e, 0xb81b30a6, 0xcc8c1032,
+    0xd4214b4b, 0xa5b536a1, 0x4836c3ac, 0xfc923d31, 0xae3d317d, 0xe7fc367a, 0x1eb56e0a, 0xd812023a,
+    0x4a573a31, 0x14754f74, 0xeb48c18a, 0xfc2a1e36, 0xccd6c79b, 0x88abefb5, 0xbfdb2e06, 0x2ec8bdff,
+    0x828ae208, 0x8fa7a7a5, 0x2f14d509, 0x95445689, 0xe55f4d94, 0x14b1e8ca, 0x5683e6b5, 0xe96089ca,
+    0xe5b79439, 0x8e559e91, 0x59d8586e, 0x51c6ecde, 0x90b71bd4, 0x73698b77, 0xd95c5219, 0x8e607a79,
+    0xa60998d8, 0x6bafccf7, 0x47fa42ba, 0x9d3c6b62, 0x50e9c1d7, 0x3e572d67, 0x8245ca70, 0x6edd11de,
+    0x962faef9, 0xf0d2151b, 0x1efed449, 0x11104306, 0x76e4705e, 0x9367bc1b, 0xc203c3e2, 0x26b5da79,
+    0xf7848a56, 0xf357ec3f, 0xee66da4d, 0xcc05012c, 0x42e6549b, 0x2c7f5a2b, 0xa8e6c7f7, 0xd1afe1d2,
+    0xedec2e08, 0x4f6036e2, 0x4fa5fc91, 0x7d89a46f, 0xe7e6b426, 0x463787d6, 0x44006e13, 0x7cb8503f,
+    0xec949f99, 0x4c10b24d, 0x6763f7bb, 0x80b9cb4b, 0x51c85e09, 0xcc0b3ae6, 0x4906fbb1, 0x009a76f9,
+    0x9f18d32d, 0x0ad0f5a5, 0xd4bb64fd, 0x1b92544a, 0x59604506, 0x10073a99, 0xd2664a4c, 0xeec7b4da,
+    0xf1cab3d6, 0xeabf3ac1, 0x7161b538, 0xe2793f00, 0xa0ee5f27, 0x107b5410, 0x1b705782, 0x49c42606,
+    0x1472ffe4, 0x4f03d06f, 0xa0eae15f, 0x56c347e5, 0x85740058, 0x60e639e7, 0xa261f76c, 0xeac7397d,
+    0x41b43f11, 0x3d63a000, 0xa36af9a9, 0x1a30adb9, 0x783ca310, 0x37f32885, 0x6df27917, 0xa55ca344,
+    0x3fc5b7e6, 0x9f0491b6, 0xc92884a5, 0x332391f3, 0xb0e7c42d, 0x6b8ba33c, 0xa8dce468, 0xce724be5,
+    0x6eed6291, 0x638c8338, 0x334ed301, 0x3538adfa, 0x00252442, 0x3855be65, 0x2141ef74, 0xdd4026ae,
+    0x63563a95, 0x8738e3a7, 0x8ce8448c, 0x8f67346c, 0x5219b96d, 0xd85766ee, 0x0c3826a5, 0x064bf335,
+    0x729946d3, 0xc0dd11a7, 0x28a329a5, 0x31556194, 0xb908fe62, 0xbe578f21, 0xe81b42eb, 0xccc1da81,
+    0x11890547, 0x5d52430a, 0x1e2059cc, 0x77313865, 0xddcc1cc4, 0x49590721, 0xfd0416fd, 0xf5a742eb,
+    0xdab2d00e, 0x86b434a8, 0x30aedeca, 0xc431ecc4, 0xad758e4f, 0x1819aa25, 0xac6ad2ad, 0x02df8755,
+    0x4d3f2bdb, 0x2cf55c3b, 0x047e11b7, 0x7ab389b1, 0x62dd639c, 0xfdca776c, 0x09e0fac6, 0xba2d65c1,
+    0xdd89bc36, 0x9da9806a, 0xa74d14f8, 0xc9081815, 0xaaec24a3, 0x139b3ab9, 0xd8287cc1, 0x1e461dd3,
+    0xb146b48f, 0xbd731175, 0xce65469c, 0x9c2f2b29, 0xea09f6b6, 0x08071235, 0xc45893b6, 0x94bf99af,
+    0xee976fbc, 0xd051f3dc, 0xd34c0745, 0x3293b99a, 0x4f3e9089, 0x6212c812, 0x43994bc7, 0x0bbfdd52,
+    0x9e66d842, 0x9399d4d5, 0xa26409e8, 0x7454383c, 0x5640bcdd, 0xfd541429, 0x1109d9a9, 0xa034e213,
+    0xffc01e87, 0x3c380c49, 0x48bd72b3, 0xc75a0b67, 0x5660fde9, 0x32f4d635, 0xde135255, 0xe25e4a23,
+    0x75131af2, 0xf77448df, 0xddbd8128, 0x30bb06c8, 0xf2a4f190, 0x254960f9, 0xe4ceac34, 0xb4dc3798,
+    0xde5ea847, 0x0c14d03e, 0xd781194a, 0xa7c42e14, 0xfc5b00aa, 0xb3e4ba4e, 0x5ffb28c6, 0xeb4a9c70,
+    0x62185425, 0xb4ca80d9, 0x2dea0c36, 0x3ac9f370, 0x2b3cd029, 0xcec0847a, 0x82176477, 0x1ff5941b,
+    0x19d308f4, 0x2c8cc2e1, 0xd47fa69d, 0x26c5d0f7, 0xf8b53fc1, 0x32f46f3a, 0x2619aa49, 0x1db197d5,
+    0xc429cc96, 0xdba845a5, 0x23475d12, 0x5201ce19, 0xaf8d0757, 0xee179092, 0xb33065fe, 0xf8ff5567,
+    0x0e71ec6d, 0xe470f69f, 0x74341899, 0x2720d4c7, 0xa22afbae, 0x94cb6b95, 0xe4d963e1, 0x2f247bc4,
+    0x7c980b12, 0xcc971dd8, 0x7ea5d6b2, 0x0f41bc9f, 0x73d56a99, 0x57bbe46a, 0x46e66bd1, 0x7ad07228,
+    0xd4c3f0d6, 0xd20df1b6, 0x1bc71c37, 0xdadb4c01, 0x65b07d10, 0x35d63bd8, 0x67470873, 0x051a5773,
+    0x52cdff5b, 0x5ae14fe4, 0x08842c2b, 0x37c35919, 0x91886e7a, 0xd9a9add7, 0xb681dd0e, 0x0ccff629,
+    0x4fd5ee57, 0xfed1eee2, 0x44c44198, 0xc8a7a040, 0xaeae8681, 0xd61ee3fe, 0x623342aa, 0x64028af7,
+    0xa3177d93, 0x7f4fe694, 0x347ba698, 0xfe3f6e6b, 0x7787eb79, 0x53a91e0c, 0xb6413d69, 0x6d8c1df5,
+    0xc7a22643, 0xe6917c16, 0x535de855, 0x9d4ed2f7, 0xbb5054ec, 0x7c1243e3, 0xb116432a, 0x5ae36edb,
+    0x03e85e91, 0xdf56e42f, 0xa3ff9ee2, 0x106f7d55, 0xf9889edb, 0x0599d9fe, 0x1604b271, 0x8ea04f73,
+    0x6713c5e0, 0x31cd6562, 0x3485a8f6, 0x43d7f68e, 0xabff610d, 0xf9c6ce13, 0xbaf9a732, 0x03960a59,
+    0xa90ce2ba, 0x3c0d8356, 0xc61fecb3, 0xe3a44e00, 0x48ed1bec, 0xe362e64e, 0x590c86c2, 0x4b94a002,
+    0x7bde3a82, 0xd9e655ba, 0xfefa0580, 0x282e9d46, 0xe744fcd1, 0x20cdd284, 0x5ef2d4c7, 0x42aa3aa0,
+    0xd6aa416d, 0x60ee1de4, 0xdd64b086, 0x0676c5a7, 0xab2f525e, 0x3482ba26, 0x173e9f70, 0xc9099635,
+    0xf14b7598, 0xfcb75669, 0x926e8571, 0x826cb494, 0xb9fb8561, 0x94af3b89, 0x19e0273c, 0x457f1180,
+    0x2c577375, 0x091094b3, 0x110ba23f, 0x2793ebcf, 0xd1f856fb, 0x416c77e4, 0xc12acabb, 0x320014b2,
+    0x101a6fcb, 0x29afe0c5, 0xcbca3706, 0xe1053b32, 0x58abe108, 0xa49b5caa, 0x326b2c0b, 0x6dd0a387,
+    0xd9f6264a, 0x4a2f1ddd, 0x097055f7, 0xe19adc22, 0x2cfef567, 0x95ffb452, 0x497eb2e8, 0xd614608a,
+    0x938d6b0c, 0xd5224719, 0x7d18a3df, 0x3a1b9b5b, 0xd8f831c7, 0x14bcd4ba, 0xf6dcfeff, 0x4e7fcd7c,
+    0xd8e867a6, 0x58226192, 0x9f15789d, 0x4707f209, 0x33b40f7a, 0x1e3aa43b, 0x0f985712, 0x81ee76f7,
+    0x48ea8470, 0x3e4909ea, 0x7f82e663, 0xa2fa9d97, 0xb863b136, 0xde7577ad, 0x1793bb54, 0x8b6c9938,
+    0xddc2dd6e, 0xb235b94e, 0x3df683c6, 0xce725d4d, 0x3fa12b92, 0x144aafb6, 0xff76ae90, 0x67bccff6,
+    0xb7a41940, 0x2f201f56, 0x63e7e2c9, 0x34120ad2, 0x9aff945b, 0x65cc073b, 0x24c957e9, 0xeec1cade,
+    0x6a688d34, 0x40b3c9e2, 0x377e639f, 0xf366c093, 0xbb14fa6c, 0x0c1c77ca, 0x8a160b77, 0xa378b7dc,
+    0xcfa69e14, 0x179b554c, 0x041a1c02, 0x69db0f12, 0x677196cd, 0xc6ddf19a, 0xc63b19ee, 0x35a8affa,
+    0x3b838420, 0xb0fe502c, 0x5b7391cf, 0xc95e1e47, 0x86d5f707, 0xd8ddef47, 0x19fdbd1d, 0xefafb743,
+    0x00000000 }, /* 10**00000000000000000000000000000000000201738271725539733566868685312735302682008\
+                         26506478308693989526222973809547006571833044104322501076808092993531037089792 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365,
+    0xb157f8de, 0xceb53a46, 0xdab2020b, 0x9e167419, 0x943f7a77, 0x547ce8f8, 0x92faad8e, 0xb42f584f,
+    0x00000000,
+    0xe58cf5a3, 0xceebaef4, 0x2fbffd11, 0x3f52fb64, 0xe0efa4f6, 0xd98aa9ab, 0xdc867385, 0xf1765391,
+    0xc69506b8, 0x8e1a09dc, 0xe4f873d5, 0xfe56e998, 0xd3c2c8b0, 0xd9413069, 0xedb4e27f, 0x85551bb2,
+    0x7454c816, 0xf1cf9c29, 0x849d48db, 0x0a1d7087, 0x18920b2e, 0x06964af7, 0xfba5b70c, 0x8a9bf339,
+    0x61964f6e, 0xae5c2fe6, 0xd610080a, 0x2f71ed80, 0xd46a9e70, 0xbe517666, 0x2972549f, 0x6f0e8bc9,
+    0xc6856b5b, 0x9b775128, 0x7f905e92, 0xace7f465, 0x51bd2291, 0xd02c69ec, 0x4e256229, 0xd93e5bf9,
+    0x5672fef4, 0x6336dd34, 0x4ae47047, 0xb92b6470, 0xf50cbb4b, 0xb0a72b34, 0xd58eee48, 0xd6065650,
+    0xc2ba8eef, 0x816691ab, 0x731502dd, 0x27a93d05, 0xa507debe, 0x2eda182d, 0x0b9aba87, 0x1451958b,
+    0x2badbec5, 0xdba3a2d8, 0x0b12a6df, 0x06f7141a, 0x27d54a94, 0xf85c54be, 0xce5e1ce8, 0x06cac831,
+    0xc92260a3, 0x0fcaa62b, 0x85ec3a63, 0xb32b2e5a, 0xf20bec41, 0x29c11b73, 0xe9348127, 0x28cc2045,
+    0x5d6d88c6, 0xb2a4e5e4, 0x3eaf7557, 0x58663adf, 0xf2b68c58, 0x7c01ebc0, 0x470b1b39, 0x8d1b674f,
+    0xac180f68, 0x98c72f39, 0x71c6369c, 0x1888117a, 0xdb922117, 0x956fa346, 0x309a1d47, 0xf0d2ace2,
+    0x5d2f6529, 0x1316a8e5, 0x7fa61ded, 0x568e6407, 0x05fba7ca, 0x962aa8cc, 0x68870d5a, 0xac832b39,
+    0x708797ba, 0x0e34ec0c, 0x4e68e57e, 0xa2b030c8, 0xa56357de, 0x4fa4aa6f, 0xbbee1417, 0x4b7365a2,
+    0xa2451113, 0x5e345fb3, 0xa3ee68f7, 0x34cc454b, 0x76e61618, 0x4c511245, 0x0907fd0b, 0xc87d4d75,
+    0x9d1c3058, 0xd831bbe4, 0xe209c859, 0x0f21deef, 0x04b230e9, 0x551b6587, 0xf1270cb1, 0x65c7d7bf,
+    0x1f945ecf, 0xd7795764, 0xb1edbb06, 0x8eaf66eb, 0x7b15b395, 0x51018b59, 0x75e75818, 0x22de8cb1,
+    0xc8a7ca86, 0x8c0b8446, 0xa8eeaf6e, 0x1876e627, 0x701d91b2, 0xde34368c, 0x7c49463b, 0x72f58a87,
+    0x1b53bd28, 0x5a75dedd, 0x80e57049, 0x31995431, 0x4d072f6d, 0xe87c3ca6, 0xf8b9931b, 0xdbd6179d,
+    0xfdb8b492, 0x3a1adf10, 0x62cd309c, 0x38600750, 0xcfcf8eb7, 0x47d42e13, 0x11074609, 0xceb0f39a,
+    0xb286008c, 0xd4900e74, 0x745dc9f8, 0xbcfa14fc, 0x4d7e3e38, 0x91922410, 0x14317f9c, 0x538434e1,
+    0x1ca84cef, 0x4520aadf, 0x3f98ab9b, 0x14b7fb32, 0x2fb5ce2e, 0xfe01cf82, 0xbb5e7f6c, 0x478e4411,
+    0x8e7a02cd, 0x4ff1f928, 0x68d85d04, 0xaf78bc0c, 0x64a85504, 0xaf47e526, 0x28f9f195, 0x7243fba9,
+    0xb862d8f3, 0xc4f61541, 0x0fa8f8f3, 0xee67a57b, 0x5ef4f269, 0xa8569204, 0xba353e9c, 0xd230bf7d,
+    0x140350e0, 0xb47ae734, 0x3d26ac3a, 0x475a46f7, 0xc1cbffe8, 0xcf144a61, 0xf681dd25, 0xd16b210a,
+    0x6dfe2628, 0xc04e7a49, 0xcd0611b6, 0xc0cac9d6, 0x49ccec23, 0x968e64a7, 0xc8d3913a, 0x94ba53f7,
+    0xfb8b01d5, 0xa60b87ed, 0xf117ecb8, 0x95a04675, 0x3b3d06cf, 0xfe252c0b, 0x038b66cb, 0x2cb0a6f7,
+    0x712cb69b, 0xa3510ed3, 0x480fda0a, 0x8ab6b55f, 0xc117c268, 0x9a76155d, 0x084ae98a, 0x5e69b40c,
+    0x5a85a7a1, 0x00c89915, 0x0faca5e9, 0xc41a29b3, 0xda6cfd5a, 0x62aaad91, 0x0f18536b, 0x551ef59c,
+    0x89f65a92, 0xba6a5451, 0x3dedfb1c, 0x3e9e0f75, 0xe116834e, 0xd32317c2, 0x4c2b33e4, 0xe9576c07,
+    0xc43706b4, 0xbd658f6b, 0x21c290f9, 0xe11fbb41, 0x1170f1b8, 0x4ce96909, 0x7f33beae, 0xba22276c,
+    0x35f2af02, 0x7a082d84, 0xbd96ea12, 0xaead605c, 0x8740d6c3, 0x57bc2fa4, 0x70770eb1, 0xc32a0e9d,
+    0xafb79719, 0xccdd7bd5, 0x47344f9a, 0x4bbbc0e4, 0x69406b71, 0x49af193f, 0x42429c4f, 0x37e6224c,
+    0xcd92983a, 0x63285e92, 0xf9f77f4b, 0x84071ec3, 0x5ded3d3a, 0xab3f4ace, 0xd0fe7c66, 0xf0b47ee2,
+    0x5e9e2a1f, 0xad59caa2, 0x81bb2b41, 0x477f7dfd, 0x69fe36bf, 0x69f04b4d, 0xd77a73bf, 0xa4d79a96,
+    0x340f88df, 0x9bc77a2e, 0x20bb8b7a, 0xd20cb85c, 0xfdb069fd, 0xd526eb9f, 0xfc32d57a, 0x05b38632,
+    0xe6ce0e9a, 0x8979f10e, 0xc5ab500e, 0x121af2dd, 0xe19b86dc, 0xfb9b57bf, 0xcc896546, 0xda6223d2,
+    0x35453965, 0xa4d594a6, 0x3be1a101, 0x4c68f1c0, 0xfba06b60, 0x6768ea7e, 0xc65fc091, 0xa205f05d,
+    0x1f436251, 0x0fbad275, 0x5de54c16, 0x9d858766, 0xf2de8e3a, 0x1af96b32, 0xe066d273, 0x3d36ec24,
+    0x5c3fe042, 0x563827bf, 0x3dd104d4, 0xe5b8b50c, 0xeb7f585c, 0xc8b2de9c, 0x7cb9d010, 0xf1cb9e0c,
+    0x8afe0263, 0xd75679ad, 0xfc0b0c42, 0xa7167501, 0x53b7b1fc, 0x11e31bd3, 0x736efe6f, 0x6b18c448,
+    0x5ca4d312, 0x1e721ca5, 0xdce40c33, 0xf4edc53f, 0x5393b25c, 0x323bc63c, 0x322f564f, 0xb5fd77be,
+    0x29aa561d, 0x124c7ad6, 0x5976462f, 0xcc36d543, 0x43712e5e, 0x1795be5d, 0x5b9a24bd, 0x3a3ddb65,
+    0x836cb4ea, 0x607e63aa, 0xb95808b0, 0x574968f2, 0x900e4095, 0xecb71756, 0x75cf8a42, 0xa8c32c4a,
+    0x0e1a5953, 0x35283f86, 0x2f89d8f9, 0x0a84a4e3, 0x8c330243, 0x315add4a, 0x5ae5a405, 0x664d4a38,
+    0x929b8308, 0xc726c7dc, 0x0d2d5cab, 0x445447fa, 0x93629465, 0xaafa45ae, 0x6e615320, 0x60ca3102,
+    0xdb1f2c5c, 0x0c5172d8, 0x2dc6b812, 0x0d45dcb7, 0x6bd9e0aa, 0x49c95ca2, 0xd6b93664, 0xcfec9811,
+    0xfd27b32f, 0x2d6e234c, 0xa4781aa5, 0xee92486c, 0x3996d442, 0xa33ee832, 0xf40c16e1, 0x4a59e8e8,
+    0x370ff0ab, 0xbeec9560, 0x5dea68e2, 0x437bf68b, 0x2de04cdc, 0xb1ca321e, 0x9b5f4e09, 0x5725126c,
+    0x990e764b, 0x858db858, 0xdb5f6348, 0xa51fac19, 0xcd0f8069, 0x2d3a70ef, 0x1b700db8, 0xf804174b,
+    0xcab2e7f8, 0xa1332db5, 0xee3514e6, 0xc3573a29, 0x32caeeb0, 0x2bbce00c, 0xda8d85c5, 0x6d6cee02,
+    0x74b22c98, 0x2894e228, 0x4fdf1020, 0xb807edb7, 0x3cd2c8a7, 0x36c250bd, 0x59c0c4c2, 0xd5e45fe5,
+    0x537b4090, 0xdcc4e51a, 0x49ace365, 0x65e294bd, 0x4ee8f18b, 0x1e86e93e, 0x86a81430, 0x26adb955,
+    0x779ed7d3, 0x1fb576a0, 0xa88c9d06, 0x7edb91a8, 0xd7d462e4, 0xa6007c11, 0x233c7d11, 0x8d750d88,
+    0x7d3b8536, 0x90f8a9a3, 0xac9db741, 0xb44e447d, 0xfd41d68e, 0x6838344f, 0x2dadbdff, 0x1c33460d,
+    0x08b86ba4, 0xab69c3ec, 0x46eb7ef9, 0x862d85f4, 0x9cdf56c3, 0xfed7706c, 0x06b8463f, 0x6081e153,
+    0x18417f4e, 0x922f509f, 0x47b763db, 0xa9fd85e6, 0x5fafbb8b, 0x7d3b63c9, 0x6fd9f121, 0xf9d70753,
+    0xd604e68a, 0x46ac7e80, 0x2df9a412, 0xb303aec5, 0x05c45b7b, 0xba6c29df, 0xbd9f50a5, 0xc790699d,
+    0x848d688a, 0x9628add4, 0xafe510bd, 0xf0f1eafb, 0xd79fc434, 0x07585905, 0x4ab72df3, 0x58df7292,
+    0xf33373e6, 0x26c5964c, 0x74971f8c, 0x4e2c8870, 0xbbd123d3, 0xf62d7381, 0x27ee60ba, 0xd2da3a40,
+    0xbb890819, 0x74f920dd, 0x826511a3, 0x0296997c, 0x3dd3d84a, 0xcbd5fd4e, 0x825a2d49, 0xef286e19,
+    0xfbe53c6e, 0xb4e578d6, 0x16c2df0e, 0x2248255c, 0xe69ccc7e, 0xd2edfebd, 0xc2c53b42, 0x90c389a6,
+    0x75f23b99, 0x02490b0c, 0x732e5873, 0x983af68a, 0x1a0b7f01, 0x1e22eee6, 0x5bea3345, 0xeca8ce9e,
+    0x82ca89e4, 0x38500387, 0x2c1924a0, 0xf0f7450c, 0x906f9132, 0x3ef0f9cd, 0x56b1a2fd, 0xa666bb31,
+    0xae5010bb, 0x3690e0af, 0xa996c850, 0x6d1c39cb, 0x63abfd50, 0x617b77f4, 0x8455ed29, 0xd41c662c,
+    0x509fac5f, 0x054082e3, 0x32550c60, 0x85c94953, 0xf274693e, 0x3e9de423, 0xd2475d8d, 0xdd24b09d,
+    0xe3ef7625, 0x34298419, 0x437adb52, 0x0cccc85d, 0xbdbc8057, 0x37c497f8, 0xe38727a0, 0x1159d3b0,
+    0xae6e883f, 0xa412ad84, 0x05ea25d1, 0xd28450a5, 0xce2b8aee, 0x186c01b3, 0x2e426a18, 0x5f62ac6f,
+    0x6d3b7d70, 0x84481cfb, 0x2e93b433, 0x8df7162b, 0xb81e5b27, 0xfbe56643, 0xee796e90, 0x982ee1ba,
+    0x1cf41636, 0x59e728e2, 0x6d5b615b, 0x9f1a963c, 0x0f3e8d84, 0x2a88d343, 0x3d135556, 0xfd8c1128,
+    0x2f79d1f4, 0x84eb41be, 0xd52cc09c, 0x7b3517b1, 0xcd94001e, 0xec5cbb9e, 0x2fe0354c, 0xf57a6df9,
+    0xf94c700f, 0x70e2e8cc, 0x40664f63, 0x23c91d0b, 0xb25a1278, 0xe3001708, 0xa6e87b6a, 0x431bfac2,
+    0xe35774fc, 0xf8e156cf, 0xaaaa315f, 0x202ba059, 0x39c10601, 0xe6cc9c3c, 0xc02d7f60, 0xae77d8a6,
+    0x00b467f6, 0xfa1d406d, 0xf94dfc81, 0x5b8c155c, 0x9d83ff61, 0x12cdb314, 0xe7bcd299, 0xce5a9d50,
+    0xae58317f, 0xc233502e, 0x0c2c6b26, 0xaaddb1bd, 0x72cf7b3c, 0x7254ec99, 0x2fa6aa0f, 0x461c9868,
+    0xe22497cd, 0xbc29c2d3, 0xdeba3990, 0xb7924eec, 0x41e18bba, 0xfe504af6, 0xdc8964b5, 0xccbf3280,
+    0x6061a836, 0x8d84bee4, 0xb29f6a52, 0xde410c93, 0xbaae44b9, 0xdcefd31a, 0x52ce05ca, 0x700f4d52,
+    0xd425e9b7, 0xdb2fd4a5, 0xb9ce41fd, 0x9f0eee27, 0x60601b11, 0xabbf70cb, 0x638d7a8a, 0x235c1b61,
+    0x479c57c7, 0x73c77c9a, 0x0e9118b2, 0xb6e88e4d, 0x30ef78c1, 0x656d6fbf, 0x0cae1044, 0xddc19243,
+    0xf38cd8b4, 0x26f14dcd, 0xb5268357, 0x475a39f4, 0x5ab85f85, 0xc2773065, 0x2dec0842, 0xc835335f,
+    0x4f59f806, 0x29d1937d, 0x4fd6b05a, 0xf2bbf191, 0x214af49e, 0x5c8a1336, 0x006ec8ff, 0x5a85f534,
+    0xd57f3301, 0x937dc2a3, 0xc3aa72db, 0x68fed5d4, 0x6ba7d389, 0x3a07bd5e, 0xd7747bf0, 0xf14be01b,
+    0x203d4555, 0x9bc104ec, 0xca5dcfd7, 0x39030825, 0x60efa879, 0xc1ff6675, 0x454b37c6, 0x9ef0f8a5,
+    0x8188aee8, 0x09e8bd8f, 0xc4214580, 0x9c4a9fa1, 0x43508771, 0xfe8e1431, 0x1239323f, 0x0a6cb6c8,
+    0xfd0b73c9, 0xf11f25b8, 0x0966c094, 0xb46a82d9, 0x8c4d22b5, 0x8f86224d, 0xff3d329a, 0x9cf3b13c,
+    0x5ea41719, 0xcd9dc42f, 0x0b1d92f5, 0x969822bb, 0x0d760797, 0xd2b00a05, 0x07b4628d, 0xfb32308b,
+    0xfd075fa4, 0x8eda7aaf, 0x2d6f2d14, 0xd573aed6, 0x94e46e66, 0xd554970f, 0xc661428c, 0x6be4abde,
+    0x8c3775a2, 0xe7af46b4, 0x0812bc4a, 0x6971d7a3, 0x97a10184, 0xde094022, 0x50b51310, 0xc3a49bff,
+    0x710827f2, 0x94bc4472, 0x9fab5a8f, 0x0397a9c6, 0x5ecd2a80, 0x61fc77b7, 0xb71dd9a6, 0x21ad7a6c,
+    0x36df13a0, 0xcf8d6053, 0xe266a9df, 0x85823d06, 0x64cd5f55, 0x698a779c, 0x576b7851, 0xc68dc9b1,
+    0xc78a614f, 0x6efdd99b, 0x79c7d486, 0xa326fd34, 0xd6190331, 0x0afa5ce3, 0x3f164b45, 0x91b706fb,
+    0x190ce815, 0x49191489, 0x893dbc0a, 0x1c4a951d, 0xf76d6d77, 0xb08f4a80, 0x6d6026e5, 0xbb198549,
+    0x205c571b, 0xab5f793a, 0xd8a4c3c7, 0x6057fab9, 0x34853d41, 0x5f8c1439, 0x7e170394, 0x12bbd85a,
+    0x5fd19da7, 0x0cc39685, 0x62410db6, 0xfcecf9da, 0x654957f3, 0xd34af0a5, 0x13d4f988, 0x13317cf6,
+    0xbd81e06f, 0x2ca22b34, 0x3d24e00a, 0xe840cbde, 0x302bc9d6, 0x01496666, 0xdfce3d96, 0xaf35a4ee,
+    0xcaf7491e, 0x334c0f86, 0xdbb75a61, 0xd0f8d064, 0x8f3f8f5a, 0xfeebaadf, 0xcc892641, 0xe2e8b839,
+    0xdc285392, 0x075d8f3c, 0x838cb7e4, 0x4ea7ffb2, 0x4b27f9d3, 0x639d987c, 0x052c8b54, 0xec802397,
+    0x3ed814b6, 0x673cd440, 0x3004e0c7, 0x900e6699, 0xce88263f, 0x429788d8, 0x099d20a6, 0x50a3cea6,
+    0x9ec898a0, 0x5eb7bfd6, 0xa7f13902, 0x2c92c351, 0xc8e35be5, 0x79b5e4ed, 0xb47dcdff, 0x8489ebd2,
+    0x86a41c52, 0x00afd78c, 0x8661bd1f, 0xf2346077, 0x67871547, 0xba4796e6, 0xc79ba67f, 0x827860c7,
+    0xb40a87a8, 0xe8dbe959, 0xd99cc96a, 0xd693dba5, 0xe7045558, 0x11d2b3ce, 0x4b20d760, 0xc7af9edf,
+    0xe667d1d1, 0x91e6ed4c, 0x2d7fe9ed, 0xf800fc4e, 0xb7eb11ae, 0x2d8dbf4f, 0x11858d8c, 0x1b331e20,
+    0x679dafc8, 0xf22db413, 0xd022252b, 0x353e1c8f, 0x353d5f64, 0x34f67086, 0xd350e517, 0xe9758d7f,
+    0xcd72b109, 0x0ce36cc6, 0x6fbadfc6, 0x742adcba, 0x710b0364, 0x1d3b6e31, 0xbc2af35c, 0xe1f66f01,
+    0x35f4012b, 0x9672752e, 0x519434d9, 0xa3bc0ac9, 0xc5ca9398, 0xfe1b6478, 0x93394b91, 0x44779d37,
+    0xb3707f6c, 0xed1c74d8, 0xa330fe4f, 0x939a1d87, 0xff1c86b1, 0xe849a96e, 0xa4a2eb9b, 0xcec38ff4,
+    0xba1d8683, 0x5e10d3af, 0x5c12f17a, 0xd46a4e33, 0xb0148d9b, 0x437800e2, 0xd569fc77, 0xf367860d,
+    0x4bf80305, 0x64940afa, 0xb3992931, 0x5c52f3d0, 0xf3e261e4, 0x3c684c23, 0xe4aab091, 0x40b5056a,
+    0x5d7b45c9, 0x546fadda, 0x67562088, 0x3b623122, 0xe1a97bd2, 0x62250d64, 0x5c7f04e1, 0x792dcf9c,
+    0x47b35eb5, 0xf5d8f4c5, 0x616e6938, 0x348a20b6, 0xa22012dd, 0x36e649c0, 0x49224ae2, 0x090097f2,
+    0xc382e591, 0xc2d321ec, 0x7c702c01, 0x066b55d9, 0x6831ee1a, 0xfc40dccc, 0xb6fce323, 0x077a073b,
+    0x4594ce01, 0x08594e7a, 0x73ea0b8a, 0x610eb2e9, 0x89e3dbbc, 0x3beb455d, 0x88dc2f8b, 0x9dbad8a5,
+    0xd3d32285, 0xeea2972c, 0x93be63b5, 0xb0b231fd, 0x5154ebc1, 0xe78d221a, 0xf48ce1d3, 0x4629edb5,
+    0xb69d1ade, 0xe245418d, 0x07a04a81, 0xb6ff1701, 0xfde9518d, 0x2b01dbf0, 0xf97124aa, 0x9c4aa13c,
+    0x747fc8d0, 0xb1603695, 0x56673a57, 0x399cff1e, 0x59479eaf, 0x407b4aac, 0x8f624d9e, 0xc42a1686,
+    0x63bbc470, 0x78071929, 0x1a648281, 0x01b33b08, 0xb52d19b1, 0x6de1714d, 0x202a9fdc, 0x2ca5e831,
+    0x16fde8b9, 0x7e66df22, 0x844af682, 0x1d7980f6, 0xfd70cdcb, 0x09b78b05, 0x3f7ce084, 0x994b8141,
+    0x05072940, 0x819c5bf4, 0x19d0b6fd, 0x7a8aa397, 0x00975696, 0xd1a8a36e, 0x71f76f0f, 0x050842f5,
+    0xa12d7a8c, 0xfdac0fab, 0xd7c4b449, 0xe0dd94c1, 0x64266e5b, 0x0e9a1a71, 0x0d2cd62e, 0xe318ee84,
+    0xa7f0e844, 0xb8b20da1, 0xa6e2cd23, 0x6f6ac603, 0x109d59a8, 0xc83b3b2e, 0xae775762, 0xf7daf4b1,
+    0x78669bf8, 0xf0cda692, 0x9b614c53, 0x636c1a6c, 0xf643fe29, 0xc80f68f9, 0xad14a4dd, 0x9b416688,
+    0x96ab9ef7, 0xf017c9a5, 0xbf232bab, 0x6b48dac3, 0x8be19d92, 0xd467ffce, 0xf98e0e4d, 0x5ea2fc41,
+    0xf7b3f369, 0x017f98b6, 0xd23c7290, 0x33b4864d, 0x4af6db06, 0x2190083c, 0xa97a5280, 0xcb5015f1,
+    0x2eb728fa, 0xec17aedb, 0x24bd6886, 0x01c51e88, 0xc5ed0620, 0x507d1d3d, 0xa72be8de, 0x005a1002,
+    0x0d61f791, 0x022bb760, 0x82694d30, 0x6168b998, 0x797b4cb4, 0x7fb11a63, 0x7a0b3e89, 0x66be282a,
+    0x33004f63, 0xeabae700, 0x5bd6f028, 0x6ef40253, 0xb95edcf9, 0xb696e270, 0x8ed23982, 0x8e1dca88,
+    0xd72d3c08, 0xae5d535e, 0x8d4b6c54, 0xb5f6e6a4, 0x1fdf3ed7, 0x4fb0316d, 0xd8a9460f, 0xb3594cac,
+    0x00000000 }, /* 10**00000000000000000000000000000000000100869135862769866783434342656367651341004\
+                         13253239154346994763111486904773503285916522052161250538404046496765518544896 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2,
+    0xd8abfc6f, 0x675a9d23, 0x6d590105, 0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747c, 0x497d56c7, 0x5a17ac27,
+    0x00000000,
+    0xab69c672, 0xe910fe14, 0x321efff7, 0x6e2f9de9, 0x0ae0b7a0, 0x559c3d14, 0x06097ce1, 0x511f6157,
+    0x306fe94e, 0xf59ffb2d, 0x65462682, 0xff1eb795, 0x92c11ee0, 0x802a6868, 0x3e8e46c0, 0x72a5223c,
+    0x21d685b2, 0x6276576a, 0x546c43da, 0x739c09d3, 0x983532a5, 0xf7dafe75, 0x31bbfad8, 0xeae442f4,
+    0x7a5297b6, 0x322f7907, 0xa365fe7c, 0x3973a896, 0xca2ca162, 0xa7fc6610, 0x0d71db0b, 0x8a53cb7f,
+    0x924bcc71, 0xf20b138a, 0x41cbcd47, 0xf2c78c86, 0x914e144d, 0xcf87807a, 0x1eb0c740, 0x4fb5f717,
+    0x77f54fbb, 0x064f4abd, 0xd0725220, 0xc28d75e4, 0xf5231c57, 0x8fce6643, 0xc279d515, 0x830833d5,
+    0x479a5e63, 0x3d2b7f0e, 0x4a640a4c, 0xb5f41261, 0x1931831a, 0x782dc80a, 0x1929bd70, 0x1d433df0,
+    0xc59c6660, 0xcb1a6668, 0x039eb1c7, 0xf09e0944, 0xe7fd1b0e, 0x9980621b, 0x48f99eb4, 0x4acdce9a,
+    0x40faecb6, 0xe4e9e0b4, 0x5f63f493, 0x82b81816, 0x97ed0581, 0x5aeb895a, 0xff4851cd, 0x8cff1472,
+    0xe8985810, 0xbd669c4a, 0x0f602294, 0x464518d4, 0xf7f70ff7, 0x272384d0, 0xbe80d9f9, 0x6ef64a01,
+    0x2e7b24bf, 0xd1bcec63, 0x5212d505, 0x8f97f70b, 0x31d014c8, 0xf6b33c55, 0x5336e39f, 0xce5cae43,
+    0xa2807f27, 0x316dfce3, 0x9e881bac, 0xe4be1c1b, 0x98154f90, 0x62618eee, 0xd4856782, 0xc7610544,
+    0x93d4c83a, 0xf22678e2, 0x8bc3cf87, 0x2c3096bb, 0xda6826d8, 0x3a80dd64, 0xabb5fcd7, 0xdc2ee798,
+    0xb7106509, 0xd0ef27ee, 0xdc95a99e, 0xc656712f, 0xe38f00ad, 0x28b6cc15, 0xc73c68a4, 0x4c754aa1,
+    0xb60a6899, 0x6325015d, 0xf0a2b5f1, 0x3e2d35d5, 0xd8c5065c, 0xa1d7449d, 0x7ef62f62, 0x1b5e17c2,
+    0xaf6f745a, 0xfec554f7, 0x2d7393b8, 0x2ea7f7d3, 0xf747cdaa, 0x0f867402, 0x16314351, 0xd2f010c2,
+    0x983f630b, 0xb9796b3b, 0xa65a4eca, 0x74647e99, 0xc2e5ffc5, 0x145badc6, 0x2e0f61f6, 0x38fe984a,
+    0xd984faa6, 0x234d7322, 0x4a2326e9, 0x15dc9a78, 0x20a3a9e0, 0xe8a87b3d, 0xa8119716, 0x543af6d3,
+    0x6bf430fe, 0x5ca86d2d, 0x95e38719, 0x3ec03dc1, 0x4d7a753a, 0xca5f4b37, 0xb655f085, 0x416672dc,
+    0xc92b2c4e, 0x26624964, 0xdf591097, 0x0e0f2216, 0xf91c0e91, 0x12fcbb51, 0x9394ab99, 0x84655b5d,
+    0x0b44f389, 0x9505bd9c, 0xeb1aab1a, 0x7f8a7141, 0x716fc204, 0x4074baa7, 0x212e68c3, 0x28624606,
+    0x3fdaafa7, 0x64ac9789, 0x1daa859c, 0xdc705aee, 0x973b975e, 0xc2b8117f, 0xd1d9a83d, 0xf5c7d8b8,
+    0x25e61dff, 0xa5f9ec86, 0xfa8a167e, 0xd9d08dd4, 0x04783dec, 0xb7e6a03d, 0x74590dbc, 0x8ea185c9,
+    0x5e63876c, 0x711a36e0, 0xe000f413, 0xfae8bb61, 0x43319a6f, 0x48f84254, 0x5f230d45, 0x937accf4,
+    0x288370db, 0x8d90c3ed, 0x060f1e16, 0x356b9350, 0xc723379f, 0xad588644, 0x3d3bc36b, 0x842ddfe4,
+    0xad36b7f1, 0x54bff059, 0x901244a4, 0x9b219935, 0x8079f20a, 0xb4751b6e, 0x049713e4, 0x827e69f3,
+    0xfaa1c69a, 0xa59d7efe, 0x0f6632c0, 0x2b575250, 0x74e1dc78, 0x98ecbab4, 0x01834441, 0xebc9b8e7,
+    0x7215d2b2, 0xd4b03800, 0x1c3a6a56, 0x9883553b, 0xb61f45a9, 0xfc4d23a4, 0x6a0ab2cb, 0x046a3e39,
+    0x3abecf1b, 0xab49e6eb, 0x1afcc0b2, 0x0a9da9a9, 0x11793afe, 0xc1a56b7a, 0xc75d3210, 0x498d1071,
+    0x9b7d72d6, 0xf7fde447, 0x5edc09eb, 0x1f060511, 0xfc552742, 0xe78febad, 0x2dfea6e0, 0x93e327f3,
+    0xf21bec53, 0x10d58a4c, 0x3a25596b, 0x60bd21be, 0xa435ee75, 0xe02d4a4f, 0x19f66940, 0xab134581,
+    0x76884fa6, 0x28e1d101, 0xa5b8c423, 0x31b112fd, 0x2d5d7f50, 0xda14510f, 0xaa7b235c, 0x20c1b891,
+    0x2f6b1944, 0xc8cb3438, 0xdf62ad87, 0x29eaec99, 0xca766c08, 0x91e2676b, 0x18049fa1, 0x51b3fd03,
+    0x8e8f19ef, 0x22fd7fb0, 0xc9ead36e, 0xc0e02c91, 0x5ab1a677, 0x5092e08f, 0xc68056b1, 0xbba7ae3f,
+    0x5c533400, 0xe82ba2b1, 0x4388d6af, 0x8685aac4, 0xedb25a89, 0x5451edda, 0xcc62c01a, 0x626ea74e,
+    0x823db4e8, 0xef63f989, 0xfe7cff89, 0xadafb07f, 0x48cded43, 0xf148c984, 0x8666ca82, 0x6c423172,
+    0x0a54fbd3, 0x138c83b4, 0x2ece2bdd, 0xd01044ea, 0x588efd25, 0x42090ec9, 0x9b2f7201, 0xc4686296,
+    0x653e4ef5, 0x9195eb80, 0x519eb8a1, 0x9150f6c5, 0x7c3421ed, 0x97d46e18, 0xa9cf9fa9, 0x63103c97,
+    0x11c8da9e, 0x0df23c4c, 0xb70fd1fe, 0x95bfc22b, 0xc1300f0a, 0x331989c3, 0x00aa094b, 0x025ff75a,
+    0x2c8dbe43, 0x6443ef12, 0x1b53e243, 0x925157bc, 0xda65c4de, 0xe6fe333d, 0x2e771932, 0xad12de05,
+    0x85791ce1, 0x8fa28182, 0x559eb12f, 0xd6af6f78, 0xaf723959, 0x454d4a11, 0x3a9a81f1, 0xa75636d3,
+    0x42974bd4, 0xa6257c2c, 0x82323917, 0x8b07600a, 0x60110645, 0xb8363e37, 0x7ec89fe4, 0xd1ec554e,
+    0x10e82e9f, 0x9ece8166, 0x03448914, 0x44ae2f14, 0x094cd4c5, 0x4daadea2, 0xf0bd9edb, 0xbec02270,
+    0x06b05289, 0xf4806921, 0xf7490fe4, 0x7846036a, 0x3d011f08, 0xbe522524, 0x42944bb6, 0xac275cba,
+    0x180668f9, 0xc3741273, 0x9bfe4409, 0xb0c00422, 0xd4b56f5b, 0xebaadfb0, 0xe45eb449, 0x96d7fae3,
+    0xd3a6d9e4, 0xdc805681, 0x258c5197, 0xb1907af9, 0xae11a0d3, 0x5bd6351a, 0x8ad13284, 0xede93bdb,
+    0x1448c91c, 0x98ac2ebe, 0x37da5a2a, 0x01048785, 0x457c0309, 0xd7e47a1f, 0xd2432956, 0x3d0ff988,
+    0xe9683ab7, 0x5b59992b, 0x914d8537, 0x322091c6, 0xaffa3e4c, 0x679c6a35, 0x4e55226c, 0xbff9ce0d,
+    0xec202896, 0x8c7fa55e, 0xc6185966, 0x20bffdab, 0x17248731, 0xd7b4795b, 0x52488bad, 0x504a8dee,
+    0x875180df, 0x19e752ff, 0x7f89459c, 0xc2038aab, 0x3ebedd05, 0xb44c9062, 0xb1bb9212, 0x3fe7c585,
+    0xd0c6e476, 0x78ac4e5f, 0xbb1202c1, 0x649ea0b6, 0xdec0a180, 0x4d37f92d, 0xb26246d9, 0x76a7ea9f,
+    0x5cb049c4, 0xdd9f7cdf, 0x3d299b94, 0xcb2628d9, 0x224c000a, 0xf4497304, 0x2d02d132, 0xdec16697,
+    0x2547dd34, 0xa28bb4a3, 0x56be782e, 0xc6adc6b8, 0x99d9c91d, 0x16871b63, 0x6723c73b, 0x151eb6f8,
+    0xe8aa32f5, 0x1ad0fef6, 0x5af597a4, 0x153bd6f6, 0x9b5a3283, 0x1305340a, 0x9ca557e1, 0x8734a990,
+    0x61be3a04, 0xe3e3e261, 0x9d2f51b2, 0x0006d806, 0x0f2f0d75, 0x9c939f0c, 0xc0b07f2c, 0x3778de13,
+    0x7701759c, 0xbb364b4b, 0x3d16dbb8, 0x59cc5ede, 0x9f2900b2, 0xe6f02c44, 0x5b42173e, 0x6c1f8298,
+    0xaec4362d, 0x858809b1, 0xf6ae0205, 0x996bfb50, 0x443bbd09, 0xea6d589e, 0x2087bed2, 0x5083764a,
+    0x6db33f6e, 0xaa4f4a06, 0x694b9b8a, 0x510e5c59, 0xc0712286, 0x09f45c68, 0x0bc1c1ee, 0x07695dd8,
+    0x20cb9591, 0xabcfbe30, 0xd105b2fb, 0x40488f07, 0x0cf935be, 0x924246ee, 0xd0f006e7, 0x42222ba8,
+    0xdaea0176, 0x62ba27cf, 0x252cc44a, 0x34abe139, 0xa3053a29, 0x4a191566, 0x65773e84, 0xdba74aac,
+    0x45ab5282, 0x0e96c260, 0xe395bce1, 0x726b6361, 0x66100c2a, 0xbdd7d18e, 0xa9b58b6e, 0x1410015d,
+    0x2748670a, 0x5022acc2, 0xf3b34ee8, 0xe1f1a4a2, 0x4a519743, 0x28a43ab8, 0xe99c5e35, 0x8efde802,
+    0xa9d63336, 0x63540273, 0x7eb03e48, 0x30dd8ea9, 0x09d97bc4, 0xf954e8ff, 0x36f77ab5, 0x20ec339d,
+    0xd6ab2464, 0xa924c729, 0xeb97b243, 0x85865b85, 0xeaf36397, 0x7681fc43, 0x57f86faa, 0x689a9e67,
+    0x5855a8c5, 0x9766ab37, 0x8e916330, 0x74ac1703, 0x22230a9b, 0x3c9c9398, 0xfd64fa37, 0xcf6bc536,
+    0x905bedcb, 0xd2b0f7cc, 0x95f1b111, 0xbf860e63, 0x22ced487, 0x2797376b, 0x3c63162c, 0x45f838f3,
+    0x53517e5b, 0xad6b5437, 0xbebb577f, 0xd68fc5d9, 0xb17e520d, 0x00d63395, 0x15367d18, 0xc559ff0a,
+    0x613e2cfa, 0x12298c2a, 0x15bcc064, 0x390efde7, 0x389cdd43, 0x474b65f6, 0xb7c3e2c3, 0x35ed5804,
+    0x220f1278, 0xb337db25, 0xeb9ed2f1, 0x1931e19d, 0x4f2f88b2, 0xb76d7ae3, 0x2fcc706f, 0x152b9640,
+    0xf0e1f6c6, 0x39c0c1ef, 0x15d99e90, 0x7d87c925, 0x6696b1e5, 0x68c3dba5, 0xa34a4589, 0x9d727e1d,
+    0xf2718022, 0x424ba4d6, 0x3bb9781a, 0xd416201e, 0xe60f32e1, 0xa49fd936, 0xa0294df8, 0xa0c51dd7,
+    0xfde30b13, 0xc0ef7f7f, 0x68792b74, 0x7d59bc65, 0x9101ed84, 0x72182857, 0x7a30fa95, 0x9d6c70fe,
+    0xa6100c71, 0xae70e31a, 0x8717077a, 0x205ae548, 0xb8150d7f, 0x12bea85e, 0xf92c3ee6, 0xfc39de7e,
+    0x565782e5, 0x8aa3157b, 0x146ac0e6, 0xafcc70ba, 0x30269720, 0x72fd3acf, 0x2a6a5eaa, 0xa2d4ddc5,
+    0x3a4f6753, 0x105b7440, 0x3f05ce7a, 0x60a3af12, 0x4b446538, 0x6ff191e6, 0x14d91be8, 0x824f2d89,
+    0x11219e48, 0x06baeb5c, 0x25927854, 0x8b3ab167, 0xf96d4dc7, 0xe5b28d84, 0xb6b29a76, 0x6f6f217e,
+    0x351d0d25, 0xa35a9004, 0xb31fe33c, 0xa7655232, 0x53eb2aa3, 0xe6001a15, 0x1d842f94, 0xecb1781a,
+    0x2f22debd, 0x07db595d, 0xb66e10fe, 0x4afb5c1a, 0x20d50d70, 0xf8f57c53, 0x01fadb3d, 0x18ce9f63,
+    0xd7865a7b, 0xf2cf810f, 0x03ef9606, 0xe45119c1, 0xe146bb94, 0x7d7e5307, 0x46b2ee85, 0x7d4b01a4,
+    0xd2013f05, 0x1a535b21, 0x4ca47e32, 0xc5428e57, 0x3c2114bc, 0x7596a68c, 0x7105561f, 0x0d403de5,
+    0x4a39795b, 0xc71f31f4, 0x82b48053, 0xf5f690c7, 0x0a97b970, 0x32e8734a, 0x7d13bee5, 0xcda243be,
+    0x9a9d1b2a, 0xc16a0be6, 0x78c2ffeb, 0x33ed0f3e, 0x1f1e4240, 0x9a02cb71, 0x28adca5c, 0xcb39a567,
+    0x4d9f5954, 0xe884e8b9, 0x1ba720d4, 0xb705d976, 0xbc98d68d, 0x766c53f2, 0x7e8154d0, 0xad192879,
+    0xdeab96c6, 0x984799b6, 0xa2b0e8d1, 0x8b6d5b21, 0x6b233fc7, 0x77f152bc, 0x63a0b95f, 0xaa3dacff,
+    0x529a2e79, 0x9f23db8e, 0x33505f0f, 0x57e518fc, 0x38d69463, 0xfc34c54a, 0xa90770ee, 0xa14491af,
+    0xb3f1e7fa, 0x7ec281c2, 0x6ac3cdb2, 0x32229560, 0x78fe0576, 0xf7ea5cd1, 0xb1fdf098, 0x6d236b09,
+    0xab83afab, 0xb8e6f590, 0xda856e3f, 0xe6c206ea, 0x1bf0774c, 0x6077f049, 0x1ebcc9e4, 0xc0ad6dc9,
+    0xa9c10aac, 0x955749bf, 0xa2afe1a5, 0x94b7767f, 0x21e8d65b, 0x9253b85e, 0xea7f0f07, 0xdc0f4393,
+    0x0cba6c32, 0x215a97c3, 0xffc5f53d, 0x169d437b, 0xfa6a1b19, 0x6e053166, 0x55209f5b, 0x6b6bfebf,
+    0x713f50f1, 0x77966bda, 0x827b4a7d, 0x956c3dcf, 0x7efbc89e, 0xaba38597, 0xc227a8bc, 0xd7a38100,
+    0x9c4188b3, 0x25cc402d, 0x0bde7476, 0xf2e13eab, 0xd55c126a, 0xf6ce94a7, 0x38479867, 0xc65f609e,
+    0xb2139308, 0xf27cf34b, 0x871a6dc5, 0xbed5d268, 0x85fd404a, 0x447d475b, 0x71788948, 0x862f0161,
+    0x795aa520, 0x0ccd9738, 0xd9e69ddc, 0x98772311, 0xad077a5b, 0x03ad9110, 0x18359043, 0xae3b884f,
+    0xe54ba948, 0x761cc387, 0xf67c13f2, 0xc8e900f1, 0x1e539ac7, 0x07f68192, 0x1bc7e10d, 0x72ccab4a,
+    0x0b58c250, 0xf9a828e9, 0x60279430, 0x7408e00f, 0x816058ad, 0x9a31a4ba, 0x174fad50, 0xea35737b,
+    0xd99561b3, 0xb632fb3d, 0x604ecf78, 0x470be69c, 0x8c2f21ee, 0x92ae25f6, 0xcd0c990e, 0x5bf3a618,
+    0x24539b81, 0x6a65c955, 0x1ae0ebbe, 0x9e7d7f34, 0x2eea8ac8, 0x3fa2ce7f, 0x66a05d55, 0x8e1e878f,
+    0x30347fb7, 0xc21881a6, 0x1ca3b35c, 0x2d116c01, 0x5e3d4b1d, 0xb17346d4, 0x420528d0, 0xbf287bf0,
+    0x454b5ff9, 0xa2179f3f, 0xb74155da, 0x1f788e61, 0xb091b39d, 0x4e7b7ada, 0xfbb49a4b, 0x56a15d3b,
+    0x5fae9e72, 0x4a433486, 0xe7eabe96, 0xdab64318, 0xfeffde7d, 0x425e6b75, 0xaaddbc6c, 0x97c9a1e1,
+    0x2267e594, 0xe2fc3458, 0x7bd7898f, 0x37563e0f, 0xaa6c6706, 0x2e2ea1ca, 0x25bcefc3, 0x4f282fbb,
+    0xd0aa1625, 0x4aef7d2f, 0x474290e7, 0x7b12e162, 0xa28fc459, 0x40d3074c, 0xc922ea0d, 0x760fcf72,
+    0x05130ad4, 0x68e6dd89, 0x782975d0, 0xc857e123, 0x882f0740, 0x979ba9c0, 0x52cacb8a, 0x43465eb1,
+    0xbe03e498, 0x0f68dd0a, 0x05e4292e, 0xdc0e0dbb, 0x9c06f792, 0xdc35b5f6, 0x821a70b6, 0xa0246db4,
+    0xf55dcb94, 0x3cc95fb2, 0x35e15ec9, 0x92df7c08, 0x2d80ada6, 0x1dddc61e, 0x821f17f1, 0x7db88856,
+    0x47389982, 0x75451410, 0x846ecc7e, 0x28c892a1, 0x230c35cb, 0x897c0f1f, 0x0db28b0e, 0x4d35a0b2,
+    0x00ca58da, 0x77d745e3, 0x427391d2, 0x3c2e65ea, 0x0d844d99, 0x8ab1c3e3, 0x0d0a3cd6, 0x8a5d69f4,
+    0x9d534def, 0xf3f14a93, 0x3d93b3b4, 0x7dc60988, 0x617b6394, 0x1754cbf0, 0x1f3237d2, 0x54a52c75,
+    0xe6c6a36c, 0x814dee99, 0x4fb88e34, 0xcc6260b0, 0xb25d2062, 0xce2c0028, 0x56745719, 0x25bafd96,
+    0xf73d9101, 0x8e86fa03, 0xaa87fbdb, 0x1c4100ab, 0x9ab6a90a, 0xb8597abd, 0x18449a13, 0x2ee43906,
+    0x63432b51, 0x7397b2c8, 0x0d0b1b94, 0x37d5f758, 0x63ffa655, 0x5a6433bc, 0x9bd69d0d, 0x43eda65d,
+    0x1f3d831c, 0x653bdea7, 0x0282ba66, 0x136d2e87, 0x1d0e98ab, 0x2b6361f3, 0xab4b0b93, 0x62a4e485,
+    0xb49401b6, 0xe36b977a, 0x8d8a921f, 0xe474903f, 0x122513e3, 0x3dc38b98, 0x93fdb33b, 0xaf5f5a0d,
+    0x65f6d1cb, 0x8ee2ce47, 0x40c39b21, 0xd01f98ee, 0xbb5a2ef0, 0x63ee8599, 0x8888d85f, 0x64263654,
+    0x92f80486, 0x7ee3f6e1, 0xaa54594a, 0x957c59ab, 0xb0332941, 0xc234cee3, 0x9d58dbb8, 0xc9cb3da6,
+    0xb20387ed, 0xcc1cbda9, 0x44c51747, 0x5f6ce014, 0x710f893f, 0x4df551be, 0x387ae9e9, 0x7deb7f42,
+    0xa1412191, 0xbb5fe412, 0x1b4d7960, 0x1174ff52, 0xc3e3285d, 0xb13e5fb7, 0x828e83af, 0x18e63247,
+    0xf89f4001, 0xb88d567a, 0xe595e9bb, 0x36008bae, 0x08483a95, 0xfd97f43e, 0xc87a4d05, 0x1cfb0526,
+    0x3acb91b9, 0xea57532f, 0xc203cb0c, 0x5f78b070, 0x4e88c5c4, 0xe6019941, 0x8e2c5be1, 0xd6942d9b,
+    0x5df0062a, 0x57ff1ce9, 0x79873cfc, 0x0d52c065, 0x4906491e, 0xb71a31e7, 0xb2f004bf, 0xe1a0d2fd,
+    0xff47b7a2, 0xdc7abb9b, 0x0f0f9b7b, 0x3aed4f19, 0x4a51be9e, 0x746ddb4a, 0x9108a6d2, 0x91025610,
+    0x1eb3cb17, 0x3865befb, 0xdb706e51, 0xc0c4f4c3, 0xd837be6e, 0xfe2b33f6, 0xdce8cec5, 0x9b771a24,
+    0xe20682af, 0x72481e64, 0x2529cfa9, 0x2ea0db15, 0x6361ff6a, 0xdfa22576, 0x7ff9e7f0, 0xaf76f28e,
+    0xaa9d448c, 0x2d548669, 0x5df6df16, 0xcb260cad, 0xf766cbee, 0x47a9275c, 0xc4509a2f, 0x68033bdd,
+    0x7db615db, 0xddbf1271, 0x57ab61a8, 0x868494f3, 0x43ff1faa, 0x1ac4735c, 0xd39db81d, 0x7af40d58,
+    0x2ed72b25, 0xc9753c41, 0x3946f0fe, 0x8b5bd614, 0x28469cf5, 0xd1410b0f, 0xfdce2d41, 0xd81883d1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000050434567931384933391717171328183825670502\
+                         06626619577173497381555743452386751642958261026080625269202023248382759272448 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9,
+    0x6c55fe37, 0xb3ad4e91, 0xb6ac8082, 0xe7859d06, 0x650fde9d, 0xd51f3a3e, 0x24beab63, 0xad0bd613,
+    0x00000000,
+    0x941fe3ad, 0x6d02a927, 0xb1aedc5e, 0x7359705f, 0x80c27673, 0x562945db, 0x9fb6aaa2, 0xcbce1f0f,
+    0xa927feef, 0x5da69ba0, 0x8a79bb1e, 0x97542838, 0x0febcb51, 0x8206eb00, 0x07febc90, 0x35d724ec,
+    0xbcaf9168, 0x04ee99c5, 0x97b93c83, 0x8f885845, 0x38b5be09, 0x6c6f42e5, 0xfa038cb6, 0x925af6ba,
+    0x658d8ea2, 0xfdb3473f, 0xe050ede6, 0x3dd37651, 0x4cca2e52, 0x851f6bae, 0xd4f85fb0, 0x9a410099,
+    0x2a744964, 0xc09caf77, 0x6d7f7553, 0xb46dca17, 0x39748d7a, 0x10067100, 0x7e2c626b, 0xb4354e6d,
+    0x3333ebb8, 0x480dc99f, 0x4e39b2b2, 0x498abbcb, 0xf834b8f9, 0xbf4ac46c, 0x4c172a26, 0x6d34bae1,
+    0xc86f58ae, 0xcb8d4ada, 0x0446b363, 0x49e9096b, 0x413e671c, 0x61712abe, 0x8490c23f, 0xcd094270,
+    0x82435f8e, 0x9c0b595d, 0x8e9440a1, 0xe1d34939, 0x234dd836, 0x06dfac81, 0x03b43127, 0xd1b254f0,
+    0x07ba10b7, 0xbbc8987c, 0x9188b739, 0x43045995, 0x4bb19436, 0xc83332f4, 0x009b5c88, 0x05623687,
+    0x8f630a12, 0xca2e765b, 0x4ee1f1a1, 0x8f215ddd, 0xd247d99c, 0x6b2b09ce, 0xa9772df4, 0x6b0bf119,
+    0x65b63546, 0x9eac03f7, 0xf23894d6, 0xe294040a, 0x0ef51033, 0x8046c314, 0x348d1e1a, 0x10549585,
+    0x94d97073, 0x08c51d54, 0x342dc2ab, 0xeb8ea6f1, 0xa96ebf67, 0x321a2521, 0x8455f4fb, 0x0254a064,
+    0xf761dcf7, 0xd4f1a62f, 0x63c18006, 0x3a7271b4, 0x765da514, 0xd69b49af, 0x7286b845, 0x754eefbc,
+    0x38296ca5, 0x54c84f05, 0xd62c7e3b, 0x1ae8c470, 0x4933cc73, 0x8156d3aa, 0xfd247334, 0x156606cb,
+    0xc8e57962, 0xc64d177e, 0xc4665a2f, 0xa085451e, 0x1db38c55, 0x6730f866, 0xf61fb401, 0xb2b33c55,
+    0x4d6b1050, 0xf61b87c0, 0x70b59924, 0x83abfcff, 0x83940595, 0xb58c34c4, 0xcfc702a7, 0x7b80aeeb,
+    0xb38ea111, 0x4adf2d20, 0x0a7e6934, 0x0574a913, 0xd47705d5, 0x5dd87942, 0x3d919b03, 0xb71c9cba,
+    0x739e41d6, 0x32336866, 0x19171eea, 0x67a6c2d7, 0x4a67307b, 0xe9d0cf84, 0x5f76ef6c, 0x2a5571d4,
+    0x3adbd27d, 0xd2557853, 0x439a10f9, 0xf43d1874, 0x704b2266, 0xa2bc85a1, 0x8a548850, 0x29608d39,
+    0xa71a3bf7, 0xc8d00f68, 0x27bd1220, 0x52606591, 0x1af00d59, 0xca3d2a1e, 0xc6fea8e8, 0x5c00574e,
+    0x96c1b3b9, 0x31935573, 0x6ad92c9c, 0x73d3cca5, 0xeb34fc72, 0x3bc533df, 0x06214dbb, 0x2f6bdd6e,
+    0x672d6b7a, 0x4832773a, 0xeb74769d, 0x355c2638, 0x1d7498d7, 0xb4da51df, 0xff199e0c, 0x82681979,
+    0xbfbbecd0, 0x83dd67c4, 0x9dd925f6, 0xdf09a75c, 0xc8150699, 0x1530af48, 0x3c8f0e70, 0xc984fe25,
+    0x1fd6673c, 0xd00f1d7a, 0xc0ef8dba, 0xd70f5cdc, 0xddd3c3de, 0xc3ad468d, 0x111613bd, 0x5b30699f,
+    0xf4dcec70, 0x8907e651, 0xb72fc1ba, 0xec7c584c, 0x7dd1822b, 0x3e6d7f0d, 0xbc6ac534, 0x3d3c383e,
+    0xa9aac6c5, 0x4fa5d987, 0x4fc75a77, 0xe5d9cf32, 0xbe3c92bb, 0x12662469, 0x7a485704, 0x58b5254c,
+    0x1a54b669, 0x700e7c5d, 0x7e18fd35, 0xd51ac01a, 0x702a5089, 0x2022cce1, 0x44541d14, 0x34ab9f32,
+    0xaee5327e, 0x549651af, 0x7fc86b87, 0xacad22cc, 0xe2e7790a, 0xc8c157e8, 0x45bcf440, 0xc9ef041c,
+    0xca3b38ac, 0x4aca7e11, 0xbd1594a3, 0x55afc725, 0x040ba72a, 0xc2ae4f35, 0x4ee1208c, 0xf3fc9c32,
+    0x59a85114, 0xc757ba23, 0x1d16aa19, 0xcba2a962, 0x78baf222, 0xd45a2dcd, 0xbee656fd, 0x7ab66b44,
+    0xea5b9228, 0xae58d50c, 0x7daf4bd5, 0xae3d5d43, 0x0bdd55c6, 0x5e2d2ea5, 0xfeadef00, 0x9875d16c,
+    0xd22c1d55, 0xc462a9ca, 0x20cb3bb9, 0x8b3b8935, 0x0bcca57f, 0xc7f58256, 0xe1747148, 0x0af49ce8,
+    0x81b7546a, 0x8b178228, 0xb55b5be0, 0xa1c57a80, 0x536d2961, 0x4eda9195, 0xd536cfe7, 0xd941ef0a,
+    0x3f3d5924, 0x6b502431, 0x470d32f4, 0x69a42b0a, 0x269995bc, 0xcd30dc56, 0x0fffca36, 0xa6bd9807,
+    0xb2757832, 0xb856f7df, 0x6725e403, 0xcee591ff, 0x9e880377, 0xd5c93e94, 0x0c43d980, 0x884ef97e,
+    0xfee47ec2, 0x5301b48f, 0x6862ebb1, 0xaf5de6e9, 0x577a7b68, 0x15802c7a, 0x8ab4209d, 0xf2314ff8,
+    0xe25ea393, 0x53c5ef37, 0x094fb210, 0x620edc82, 0xa62ee0ae, 0xbe0b0e83, 0xcc97970b, 0x492a5435,
+    0xd1893fae, 0x5ba8d886, 0xcf236910, 0x370e9ccc, 0xabac40b7, 0xa7337335, 0x83f6bf13, 0x1187647a,
+    0xe3c4d26a, 0x19ac2e7d, 0xd0f3389c, 0x8a6930a3, 0x151e6ff0, 0x62b4aa19, 0x11733af1, 0x3cc27ff9,
+    0x1dc43a72, 0xfb0478e1, 0x00ef22f1, 0xb392815e, 0x3196f37b, 0x954db738, 0xc775b1d4, 0x25e0481b,
+    0x14e6abf2, 0xf71574ed, 0xbe581755, 0xd32c27ea, 0xf61ba18c, 0x2e2a2535, 0x946911da, 0x0b305c42,
+    0xe254708f, 0x3eabd271, 0xab445453, 0xa33ab024, 0xeb6eb7a5, 0x2af0f3c9, 0xd8b0c00c, 0x8c532962,
+    0xaf1a8c7c, 0x5822006d, 0x11fae2ca, 0x8b2bdb10, 0x2cdbd41c, 0x235dbe05, 0x9bc520b6, 0xddd66a06,
+    0x6f7359f5, 0xfb29127e, 0xb5afd06c, 0xd8b1157d, 0x6a075449, 0x95c7622c, 0x9e3173a0, 0x4bb7104a,
+    0x73d60192, 0xae90b979, 0x67be8ec4, 0x0a2bb15e, 0x55c160cb, 0x9fc7cd2f, 0xffd8ab21, 0xe0461de9,
+    0x5b105700, 0x389beaa2, 0x4305ce07, 0x2e9822dd, 0x2cc73934, 0xa0ab05ef, 0x90529c18, 0xd49551d8,
+    0x2b98bfa7, 0x14928455, 0x9b1bda2d, 0x12e8f746, 0x1dae6f3e, 0xdcbd5df8, 0xb8f71104, 0x495a3f3f,
+    0xcf502bfc, 0x85329edf, 0xdc6915dd, 0xdb2008b7, 0x2b0613ce, 0x3a2836b5, 0x743bc0c2, 0x01e9e460,
+    0x317682ba, 0xcd5d92bc, 0x3a50d519, 0x02e9f673, 0x093c854f, 0x75268ec5, 0xa00704fe, 0x71552b6c,
+    0xb5c746bd, 0x8389154b, 0xb7cf5aeb, 0x7678b446, 0xc3de2541, 0x30fafa5e, 0x16697eeb, 0x68ce4471,
+    0x57685b66, 0x94f6100f, 0x3a0c00da, 0x9beec665, 0x5620b4d8, 0xa56ee519, 0x2b7040b3, 0x799fafdb,
+    0x2954b560, 0x09f92d47, 0x669a762a, 0xe0c78bcc, 0x420fc8bd, 0xfc5d0ddd, 0x5027d33c, 0x10e99857,
+    0x592d5e86, 0x3ea79c88, 0x538cf35d, 0xd3f9e3ce, 0xe8e9ff53, 0xe2c3fedb, 0xd70c0ae2, 0x2252b849,
+    0xef589f90, 0x9587b1c5, 0xeac56d3a, 0x5fb63ef7, 0x06158a7b, 0x59eb4102, 0x2a4fef36, 0x6affe735,
+    0x70682b89, 0x92aeb68a, 0xb39d3abc, 0x90076da3, 0x92e249b1, 0xe5dea265, 0x319916a8, 0x285969fb,
+    0xe1fda7ae, 0x84d0a40f, 0xdc41918b, 0xe1b0f32f, 0x8f6d3972, 0x9f7cc4a4, 0x340f3d0f, 0x4afde3ae,
+    0xb1d8af79, 0x17906c20, 0x0ca0f2e6, 0x9c7c161f, 0x6d05e781, 0x1f209365, 0x138ca012, 0xb859aa3d,
+    0xb87fa5b2, 0x453bc418, 0x99408e12, 0x7b2d8c27, 0xe7ebe996, 0x84aad759, 0xd55407a3, 0x88a4a8a4,
+    0x6727a32a, 0x24d21cf5, 0xd2a15190, 0x7ff103d7, 0xc71c7fad, 0xd6832fcf, 0xb4ea6e1b, 0x6e7002eb,
+    0x5dbedf78, 0x80c26ccd, 0x30d4e83d, 0xa631bd99, 0x3bd73b03, 0x43d2d7de, 0x85442557, 0xf870d08e,
+    0xe65b7b12, 0x19a9274e, 0x51ee360b, 0xdc108790, 0x66ec2ca0, 0x9205cb9d, 0x6a18e208, 0xa95564a7,
+    0xc65e3c72, 0x6547ed29, 0x7009f836, 0x3e43855d, 0xbe4e74ef, 0x807ebd02, 0xe1060520, 0xe396ab62,
+    0x7e7206c4, 0xf5d45f72, 0xba55fc6d, 0x9256b31c, 0x12214dc3, 0x9745274d, 0xf9f6ada3, 0xb0164e5f,
+    0xcecc0e80, 0x08accfa8, 0x099e14d1, 0x297e1eb6, 0x8415e697, 0x196724de, 0x6d172e02, 0xb1599fea,
+    0x40912c7b, 0xd3e4ce83, 0x7cf84c3d, 0xbf090420, 0xebd62c01, 0x0e9c9b29, 0xea1ab789, 0xf94d1f4c,
+    0xdc89c6af, 0x18d281ff, 0xe5ff0b8f, 0xcbef86e7, 0xc01fc02b, 0xc75cf1db, 0x803c6e5f, 0xa53d6f12,
+    0xa9bb732f, 0x92841a13, 0xd68da40b, 0x8ea0d034, 0xfd08082e, 0xe3747e58, 0x91c93af5, 0x40f81df0,
+    0x2e5bab40, 0xaa87aa8f, 0x663ed8b8, 0x60929290, 0x68f41015, 0xc6c6f26b, 0xe92dd3e3, 0xea3cdd90,
+    0xd2390b73, 0xe4751458, 0x82f8b30b, 0xe9224385, 0x89a25ee3, 0x8163b479, 0x96401741, 0xbbfbc729,
+    0xeb4f0bed, 0x9d87be72, 0x2974f24f, 0x453667da, 0xa7ee960f, 0xc5244495, 0xef636812, 0xd5e59181,
+    0x828fa693, 0x23fbb340, 0xc5f0d0e9, 0x80d3fa14, 0xafd40fd3, 0x0452fe72, 0x1740dd74, 0xa8353a74,
+    0x007c4c91, 0x7f8d798f, 0x3548a325, 0x1da08e01, 0x2a90c501, 0x5098f9e6, 0x9941f0ae, 0xbfa26c47,
+    0x74e69809, 0x200d4ea5, 0x83b64f63, 0x5f5fa01b, 0x983b70dd, 0x6e1f5342, 0x7a9ad6f8, 0x6dc4bcbb,
+    0x646c84a1, 0xb1a268ec, 0xf6a4e6a0, 0xc52bc1c3, 0xda8b895d, 0x5d009c0f, 0x5b2c7501, 0x7647df78,
+    0x0809d352, 0xcd5c95df, 0x28b95cd8, 0x592e63bc, 0xb2f472ab, 0xc21babfe, 0x6827e1b4, 0x7ffb4e23,
+    0x9a37cf84, 0x3c34ad9e, 0x95721eba, 0xcb0c54c1, 0x39165359, 0xdf943ab9, 0xb89978fa, 0x3a1405ff,
+    0x463a9070, 0x5a4833b6, 0x91dc1f17, 0x1a758e96, 0x1b9f4823, 0xc3a3db14, 0x564a6a48, 0x40980021,
+    0x63ac0acb, 0x36bac6ac, 0x95a5cdec, 0x3922927d, 0x8ddff78e, 0xc7f77b8b, 0x6a0ae3ed, 0x044cf821,
+    0x000d7fc3, 0x4f8c0f4e, 0xeb88ee24, 0xb0a10bb0, 0x0a24526f, 0x8d5818e4, 0x68da1e2f, 0xc7547510,
+    0x6048c1f0, 0xf031c4c8, 0x3685388e, 0xe12f945b, 0x794c4468, 0xba5376cc, 0x9a3118fe, 0xe5fbf7bc,
+    0xcecf006f, 0x404f2350, 0xc9898df4, 0xf9d02dfa, 0x263b9d6f, 0x21df8246, 0x551e0a5a, 0xdb645c57,
+    0x6e553aaa, 0x1c2e2c1f, 0x0fa620a5, 0xf92e5019, 0x3d60d8e1, 0x54f2c058, 0x30b94179, 0x0ae96dd1,
+    0x34a9f663, 0x7af5114a, 0x4b4b53c1, 0xd6fdca78, 0xb1b99abe, 0x8fd34d09, 0xe69bae8d, 0x43ee2d9f,
+    0x72b0bf28, 0x287403a4, 0x853f4439, 0x28b2f9da, 0xa463f758, 0x17900e6e, 0xb7921578, 0x76ba6041,
+    0x7efd5ba3, 0xb33937ec, 0x721fa32c, 0x3c0d8a6c, 0x63374d9e, 0x56347032, 0x52d1842d, 0xb978896b,
+    0x3101afb7, 0x2e43fa92, 0x313ccbc0, 0x296d2b2a, 0x9a50891c, 0x2ce10edb, 0x4c5546e8, 0x0bee3e73,
+    0xa3a05e97, 0x0315e58f, 0xab18cc31, 0x513fba3e, 0x0b277e8c, 0x3b174206, 0x7145d6cc, 0xcc12bb67,
+    0x3168bf2f, 0xc925db8d, 0xbc8542af, 0xbc7af908, 0xfc5bb9f2, 0x2ca4e271, 0x44685032, 0xc4447aee,
+    0x7fb6a4bc, 0x7cf7b744, 0x4a5a2dbf, 0xf30ff0fc, 0xca3c4805, 0x71914d7e, 0x35790967, 0x9eeb08cc,
+    0xce46c9bd, 0xae02ac91, 0x08037cde, 0x32932005, 0xa4d5c7d0, 0x76072d0a, 0xc03acd06, 0xc8ddcbe0,
+    0xfe4cd88e, 0xe0445af8, 0xba020ed1, 0xd185fae2, 0xd34e7cb4, 0xead4b2d2, 0x92973620, 0xcb1de62e,
+    0x098e5d75, 0x2fbd6b19, 0xdf911322, 0xfdc18e20, 0xb78ab33f, 0x78ecc35d, 0x8b06ce44, 0xcff33cf7,
+    0xfabea5d1, 0x8f8bd3a2, 0xd2af1a00, 0x8a3e1db5, 0xaceb30b3, 0x6137911e, 0x1a2a20be, 0x877e6f30,
+    0x98b3b656, 0x218901ad, 0x4fcccaa7, 0xf768c05a, 0x1702e416, 0x0fe75e4a, 0x179b0653, 0x78a6d5da,
+    0xc8e6d5ad, 0xcfb5da37, 0xa86b0e20, 0x683f6711, 0xaac100fe, 0xb179e12b, 0x85e9929d, 0x1d3e473b,
+    0xfda8dcda, 0x8cc380bb, 0x9d4e0252, 0x6d09ea9b, 0x3b84ade4, 0x6fad60f7, 0x919a0eeb, 0xe8b63e79,
+    0x8a60193f, 0x7833e991, 0x39d839ff, 0x55ca2e85, 0x07769bcd, 0x5b256669, 0x3ac3b2d1, 0x446feedf,
+    0xc5bbdf75, 0xada329e4, 0x60e70f9d, 0xa4baf8c4, 0x8a296ca5, 0x8fc7516e, 0xbfff1f8b, 0x212725e5,
+    0xb98ced4a, 0x1bf7b342, 0x4bea5a86, 0x64f842d8, 0xa6a48b01, 0x958a2652, 0xe51d81ea, 0x80a06009,
+    0x82157535, 0x617ae656, 0x4b84570b, 0x2b4c9650, 0xc9501782, 0x959f7fd7, 0x8caef6a7, 0xc2c36aaf,
+    0xff286f1e, 0x71c6163e, 0xbb4dbb71, 0x21cc3fb8, 0x3df62c3c, 0xe997ff92, 0xa1b90912, 0x7679e15c,
+    0x0f262057, 0x45606904, 0x9b7d0c38, 0x66afa450, 0x736d30b2, 0xafd2fdef, 0x448b5f71, 0x98e9b139,
+    0xeff93d4b, 0x80309839, 0xab3bf549, 0xfaf3d749, 0x69835e26, 0x7299d77f, 0x343f9427, 0xe848b55e,
+    0x274b35cc, 0xbe39fec4, 0x9f4ee9ce, 0x486bb594, 0x2c51cf99, 0xfc60c9e8, 0x383467f4, 0xdf6c016e,
+    0x84e9d2a6, 0xdf045c06, 0xfe7555fc, 0x8b166446, 0xc13b225c, 0xed3a6cf3, 0x09669a6d, 0x9275d737,
+    0x50df8c69, 0x00061b81, 0xccab4e88, 0xe0cb677d, 0xdf311181, 0x85e0521b, 0x2a2199f8, 0x7914dcf1,
+    0xfee404d0, 0x331d9512, 0x3cadc717, 0x42646b48, 0xb7afd7c3, 0x5d0cf1ef, 0x9604f440, 0x1fe8b5f1,
+    0x5a6aabbd, 0x4b8e999b, 0xe0727071, 0x778113c7, 0x48332b1d, 0x4693d40c, 0x83c68207, 0x7793f623,
+    0x45797b05, 0xc277c781, 0x8174088c, 0x5978eb29, 0x932f412d, 0x4635a858, 0x96656961, 0xc9216c09,
+    0xfeee7120, 0x49957565, 0x33d4ea0b, 0x22e92e3c, 0xca40acde, 0x6ac995f9, 0x6909c686, 0x15d13234,
+    0x7bfe73ac, 0xfee90a31, 0x38c71ab7, 0x94838cfe, 0x765ce201, 0x3cf24f93, 0xf363bf2c, 0x6d61f91a,
+    0x312e4d30, 0x89e1acd9, 0x520a28e0, 0x6f04810e, 0x78f97bff, 0xcbfd7955, 0x6fa4be95, 0xb89229d9,
+    0x6d8e920a, 0x27342416, 0x1fdc6f99, 0xd0bb6e53, 0xaafc6570, 0x8fa33e6e, 0x650b8f0b, 0xa9a38c4f,
+    0x804bfc31, 0x86f61a60, 0x6bbf6b3a, 0xfea7e79a, 0x9eb72059, 0x26f4487a, 0x0ea7e6a5, 0xbfe2ef9f,
+    0xefbfd644, 0x11270c24, 0xbd253ff9, 0xb41f5126, 0x14944b6f, 0x6261d52f, 0x016eaea2, 0x75ca32ca,
+    0x2204444e, 0x5920f69c, 0xce9870b5, 0x17eac77e, 0x88dd0f6e, 0xfc087b11, 0x0b448a29, 0x62267d76,
+    0x89558955, 0xeb45883c, 0xcb80660c, 0xa3ea3e40, 0xaa59e6ce, 0xe46f80b3, 0x54b6fd41, 0x1def2906,
+    0xc6a58aa2, 0x8ee147c9, 0x336607a7, 0x10a10c77, 0x470d9364, 0xfc1d9b5f, 0x7a5dcbac, 0x57453108,
+    0x2bc6d03d, 0x72ce1e66, 0x2f9979a8, 0x36b0f774, 0x2e36207b, 0x4fcc0936, 0xc3ee397f, 0xf0801fe2,
+    0x9be7ab6f, 0xbe7ae12b, 0x273c519d, 0x4fa44b43, 0xdada4ab8, 0xb382de0c, 0x17727645, 0x0fc45c5a,
+    0xf032d4a6, 0x1f2841e3, 0xef9a0cf7, 0xe264d14a, 0x28266fc5, 0xea3e77c2, 0x4e0ba388, 0xd574d2a4,
+    0xf3d82e0a, 0xcbacf9f2, 0xe5623167, 0xb6580ebb, 0xc8fdd900, 0xef4eefa4, 0xf1af0da1, 0x15f76702,
+    0xf56edbea, 0x17c6b309, 0x25d19a90, 0xf760f757, 0x8744e358, 0x325602a2, 0x5e830c71, 0x3eea9914,
+    0x5fe7b43b, 0xd1bdc6df, 0x1f2382a5, 0x2438b996, 0xc0117901, 0x0d5851c0, 0x04f4e68b, 0x55ce5ad4,
+    0x85434e60, 0x344208f0, 0x4e6071a0, 0x712968cb, 0xd6ea577d, 0xdab9f9e6, 0x6a284974, 0xabf42885,
+    0x8240ceb9, 0xbeae4acc, 0x3fa2da28, 0x4eeb3da3, 0x2e421987, 0x331fc6ff, 0xfb7929d3, 0xf53b4db8,
+    0x00000000 }, /* 10**00000000000000000000000000000000000025217283965692466695858585664091912835251\
+                         03313309788586748690777871726193375821479130513040312634601011624191379636224 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c,
+    0xb62aff1b, 0xd9d6a748, 0xdb564041, 0x73c2ce83, 0x3287ef4e, 0xea8f9d1f, 0x125f55b1, 0xd685eb09,
+    0x00000000,
+    0x89b1f30d, 0xbf489d3b, 0x688ae9ed, 0x42b583f3, 0x70452ec7, 0x88095dfa, 0xe76e19a6, 0x8191d0bb,
+    0x2ac38d0c, 0x1d793cc7, 0x2180e52a, 0x8a007731, 0xa02804e4, 0xee6b16e9, 0xb1ea764d, 0x9ba3a801,
+    0x0cbdd2c7, 0x0069c20a, 0x04631978, 0x580974f2, 0xe0ea28e3, 0x2958d61c, 0xdc40c1c9, 0xadcfdb46,
+    0x76a83b51, 0xe61b6c99, 0x18c07b2c, 0x2bad45b6, 0xf6087e16, 0x59ad2561, 0xaf5340ee, 0x7b654663,
+    0xfd44e9b9, 0xa5da37a5, 0xbc99cf18, 0x12ac00cc, 0xf7c82cb2, 0x8eea4388, 0x88218295, 0xe6be7e34,
+    0x62baafee, 0x57128954, 0x900dad06, 0x61de6df1, 0xcb2c5f9b, 0x96889b23, 0xa3fc5f03, 0xbd0aacd4,
+    0x1747ed94, 0x38dcaa51, 0xa0753d92, 0xc6a613f4, 0x266342f9, 0x61662843, 0x5c9cb690, 0xe03e4bc0,
+    0xeb9837d4, 0xa757f0ff, 0xb1c43abb, 0xc526832a, 0x9f238e8a, 0x623c496d, 0x5e4c8a6c, 0x765b60f5,
+    0xf7dea734, 0xbe8b080f, 0xda4e8f82, 0xdaea6ab3, 0xca530f6b, 0xdcd70b5e, 0x272cab54, 0x1f8315f3,
+    0x1e43cd6d, 0x086456b9, 0x6a5111bc, 0x2794429a, 0x973fef5b, 0xef872996, 0xa3f49bb4, 0xb096a530,
+    0x95d4c72b, 0x961a92f1, 0xdfe3f496, 0xbba09869, 0x04ad26c9, 0x8b6bf529, 0xce8e320c, 0x79e35eb9,
+    0x627443ca, 0x433fde84, 0x600ca41d, 0x29fd52be, 0x28e37642, 0x92987c54, 0x06277715, 0x38074710,
+    0x867fa94f, 0xab0c6169, 0x58d5ed44, 0xc5c8535d, 0x14612022, 0xd07b3f21, 0x76d61c80, 0xaa4bf08a,
+    0x212e8201, 0x1d907845, 0xd81d2f48, 0xfbba4b22, 0xbceb125f, 0xbaea52ce, 0x236b0cd1, 0xfa9fe1df,
+    0xb5974a3c, 0x81f944c5, 0x4334cc43, 0x244725bf, 0x71627b4e, 0xda6cf013, 0xd28f7f9c, 0xf84f0698,
+    0xf6417cb8, 0xce0acf9e, 0x834cb2b7, 0xdc3f6a05, 0x533ce00b, 0x4dcaf2cb, 0xbba63dd7, 0x65b53158,
+    0xe2f5f646, 0xb9e59b61, 0xf2758474, 0x09768e2e, 0x0e21baad, 0xe492cd6c, 0x48c26e5d, 0x59ce3082,
+    0x708d0e0f, 0x097432b0, 0x7400c84f, 0x60f29c02, 0x19f5f139, 0xf01ecc30, 0x47e13594, 0x1f5ad1d4,
+    0x79a3bb9b, 0xbc5b425c, 0xa9db1cfa, 0x65e6b7f3, 0x027ec7c3, 0x37564407, 0xf7b23010, 0xbbd71797,
+    0xb3d3615a, 0xda4143c0, 0x09668a8a, 0xdf074d16, 0x84ce41f1, 0x04059622, 0x5d37a5ba, 0x299d5a8d,
+    0xf743fb35, 0xe9aca430, 0xd331c76c, 0xf75a275d, 0x897d1f64, 0xcb1fd06a, 0xc5925330, 0x4a25a310,
+    0x74866926, 0xd88f5bdc, 0x3a2e0a9d, 0xf0a960ba, 0xbe751df6, 0x728b9f44, 0xb823c8cd, 0x1e896234,
+    0xa2ae6a5f, 0x0c45bab1, 0xe430ea46, 0xa720e36e, 0xac9ef015, 0x2265bd7c, 0x97da6593, 0xa0adaf9e,
+    0x68263d0a, 0x3304b860, 0xe6bce9ca, 0xd107266c, 0xec04e1e4, 0x2407f561, 0x5c294c6d, 0x15413b0d,
+    0xc558b10e, 0x8406a5f9, 0x18429556, 0xae39ade3, 0x2f596113, 0x99af79bb, 0x0ad1fbfa, 0x4d847265,
+    0xfa19c67e, 0xb472d324, 0xd2aa4793, 0xe1a3a663, 0x905341cb, 0x5725dbc7, 0xc60b8ab6, 0x621ca9c1,
+    0xf008e9b4, 0xefe9172f, 0x0d91290b, 0xe440ab5d, 0xa771bf3b, 0x65990072, 0xf58b0d10, 0x45c09378,
+    0xf824c860, 0x74e8d05b, 0x0a1b7868, 0xe2f0bed1, 0x6cea97d3, 0x5fc9233e, 0xcf76e242, 0x6034f89b,
+    0x05b1c2d8, 0x22416ea7, 0x497f81c4, 0x64283b51, 0x4676c09f, 0xc3bae5d6, 0xab224f23, 0xd1b421e1,
+    0xb273e9f8, 0x44ff0d7d, 0xa3bf7a87, 0xa0f753e2, 0xbc1f9a7a, 0xff7ff063, 0xc85a9284, 0x1baec5e1,
+    0x1bab0248, 0x19f8da62, 0x4670db08, 0xc8ec0e78, 0xa4434f75, 0x9869ff72, 0xb3c5d002, 0x49915ef7,
+    0x16695eb7, 0x5a3a3653, 0x9366f90d, 0x5e3729d5, 0x1d6cdaf8, 0x52e8763f, 0x00099956, 0x5c974dff,
+    0x2f607911, 0x37426c62, 0xbed23a27, 0x5ef30d2d, 0x55f289fd, 0xf58e2d13, 0x0d82bc1c, 0x6458a9d5,
+    0xe1c384eb, 0xb6e0bcde, 0x6cc29853, 0xa323f36d, 0x85c41a72, 0xc0bc77ad, 0xc7aca4c5, 0x48e6be47,
+    0xa66cccf7, 0x5306e316, 0x7359b6f3, 0xe25ebbd0, 0x9e904397, 0x8d043af5, 0x83241418, 0x2dc0fd40,
+    0x1f9ee60b, 0xc623aa3e, 0x525f8366, 0x10968ae0, 0xc3b57635, 0xe9015e85, 0x63294c2d, 0x20cff8a3,
+    0x19a4ad2e, 0x8a2a6ceb, 0xa3bf0658, 0xf3f88598, 0x1979f88e, 0x7474338c, 0xa105c701, 0x834275b9,
+    0x4531df2a, 0x66285595, 0x21055761, 0xe3063598, 0x06a2e40e, 0x342ff61c, 0x5ad65821, 0xce4fcd1d,
+    0x5a5f146e, 0x1beb9a97, 0x9b498f59, 0x2dafd412, 0x63deee40, 0x9fe6fafe, 0x2d82c20c, 0xbeb02b3a,
+    0xd00e8a86, 0x20e1522d, 0x639b24d1, 0xf1fac53a, 0x041e5da1, 0xc4fd4c95, 0x6f420cb3, 0xab397819,
+    0x7b703004, 0x28576386, 0xfe6153ec, 0xc9db69cd, 0x85546cf4, 0xc6282bfd, 0xffe9d8f7, 0xf7b72e8f,
+    0xbcb62c5d, 0x2f7cf42c, 0xfcfa055b, 0x0b4a63ae, 0x7dc5fa3f, 0x4405bece, 0x40bb4d4a, 0x710855c1,
+    0x21aaa840, 0xe209bf54, 0xbbd8d523, 0x20483b07, 0xd16c9fbf, 0xff856a40, 0x4e325e1e, 0x8bb4264c,
+    0xf820c77d, 0x5fead5e1, 0xa3acbf2f, 0xc89ccbcf, 0xb333826c, 0xe868139b, 0xb8301d86, 0x19446570,
+    0x29ebeb39, 0xa719c0d5, 0x42eec344, 0x70180ae0, 0xb7e9196e, 0x09d0d694, 0x530d75e5, 0xb5be19ea,
+    0x3e254e50, 0x198b6e7c, 0x53a854df, 0x88b42c72, 0x332027f7, 0x84e74613, 0x3f7c5ee0, 0x8d283334,
+    0xd02665f8, 0x8c21921a, 0xacc816c5, 0x7f91c3e4, 0xb5d4b6a5, 0x1f099c17, 0x3411e9c2, 0xe5360830,
+    0x571a33a9, 0x4032e94c, 0xacfdd2dd, 0x53e76bab, 0x86a766a7, 0x3448e8f2, 0xbc74b956, 0x70dc132f,
+    0x46db0d06, 0xd413dc3c, 0xca75e05e, 0xe2e2f06f, 0x6e9e5aee, 0x8894ecd3, 0xbc4cb3d3, 0x7800b450,
+    0xb8768c07, 0xf82cc3e7, 0xc44ac25c, 0xc68b0618, 0x6988b460, 0x1437d229, 0xba8b7fb8, 0xf3fd0116,
+    0xa98d206c, 0xf358b8f3, 0x13e751bc, 0xdaad493c, 0xa2f39ed1, 0xfc1226f9, 0x19880f31, 0xa0031046,
+    0x073244e5, 0x7c7187be, 0x156305f5, 0xcc5d7f8e, 0xb44452d8, 0x7d0f3985, 0x2e5eaee6, 0x550ef090,
+    0x99fa6470, 0x0332a2ed, 0x5522ec87, 0x1e8ef5a2, 0x082fdb93, 0x53a5e102, 0x9cdf519c, 0x9e7f2551,
+    0xe2b896d6, 0xbe4a61ee, 0x4b2c7dca, 0x5851f9b5, 0xd4e470ee, 0x0f90e74c, 0xeea69032, 0x9ceb5861,
+    0xda3ece21, 0x504475ca, 0xc7f41860, 0x61fcc51c, 0x9869673d, 0x00f621da, 0x602260aa, 0xadd71f4d,
+    0xd59777c0, 0x26237878, 0x671ea961, 0x93d48c67, 0x42a192c7, 0x957c6d96, 0x97b8e196, 0x74ac7392,
+    0x3551a991, 0x781ad862, 0xeb7920c8, 0x44c971c6, 0x75d5dbc5, 0x32ab8b17, 0xd668c0dc, 0xa735030a,
+    0x71caf302, 0xed94e533, 0xe6794b91, 0x98e21faf, 0xa144c00e, 0x47b837e7, 0x563f0d78, 0xa2d549d8,
+    0x275a3ffc, 0x9b950686, 0x3b3b751b, 0x9acc48fe, 0x7fbbf5ca, 0x2eb56b41, 0xb4fa077f, 0x3c9aec90,
+    0x4fbd0b47, 0x6747d0c9, 0x9d09d57c, 0x0f7c158d, 0x97f5dcf5, 0x374558d8, 0x371bb305, 0x51cda33e,
+    0xf31960e4, 0xb0f606d0, 0xa25d01f2, 0x621e1925, 0x99eb289d, 0x664305e8, 0x517c12d7, 0x6ada0baa,
+    0xac3c3149, 0x2997f5d1, 0x61731439, 0xcecbbeba, 0x37084bbb, 0x167f187f, 0x2f7dc184, 0x519b42c4,
+    0x6163bf62, 0x90f11035, 0xa7e0992f, 0x69717faa, 0x5a37ed3b, 0x5c9066b7, 0x8cf1753d, 0xa828cde9,
+    0xf2e0502c, 0x622c5a4a, 0xecd90bd1, 0x8bb6fec6, 0xdb1bcc3f, 0x7e764c9c, 0x4eeffb52, 0x84356e57,
+    0x8b17882d, 0x60b60e12, 0x9f8edf08, 0x5513dde4, 0xa8f8723d, 0xd1f71888, 0x50e2d3c3, 0x74ec7f52,
+    0xbc803f75, 0xd51519de, 0x518837b5, 0xce778540, 0x91f3376d, 0xc8ce4375, 0xd4c2f6da, 0xc420fdb0,
+    0xf4795b39, 0x90385d32, 0x1471eb4d, 0x1b40d757, 0x7b99b5b5, 0xac45bc64, 0xd2060704, 0x09142ce3,
+    0x99ad38ed, 0x5228443b, 0x5681ecb6, 0x7f7e166b, 0x025e5335, 0xd4907a91, 0x60d3a7fb, 0xff9e355e,
+    0x7883a607, 0xada0fab3, 0x3a1c3962, 0x59ba0ec4, 0x743b3913, 0x4da5c477, 0x63accd07, 0x8e43365d,
+    0x6e45d360, 0x04d30167, 0xacdd61cd, 0xe86c66aa, 0xf70a5bd8, 0x90929925, 0x60a66adf, 0x69ebf49e,
+    0x32040629, 0x24192dd3, 0x5223dc84, 0x912b3e0f, 0x53ad966d, 0x068e9cd5, 0xc86da3fd, 0xcc6f8158,
+    0x8a4fd305, 0x039ab997, 0x1ba280bb, 0xf1ed8eca, 0x2fd8454f, 0x0be11ec6, 0x805a94d1, 0xadd22281,
+    0x45be9217, 0xadc0c12d, 0xc2e84d7c, 0xf47e6dfb, 0xf9175105, 0x5cdb2966, 0xae948371, 0xca945bff,
+    0x90f45363, 0x42c54e31, 0xe8c6c538, 0x95e30fbd, 0x9f24e8a9, 0x63ff8515, 0x25665c99, 0x7b9cb177,
+    0xed92dc7c, 0x5ffefca5, 0xa08aa65f, 0x712dcab0, 0x8ab1552f, 0x0903ade8, 0x9f1cb3f2, 0xeaee551d,
+    0xff571e5c, 0x8968f491, 0x09305286, 0x84dad1ad, 0x61bff996, 0xe212b94b, 0xabf82d6c, 0xbada8901,
+    0x81f2258a, 0x0f13bc7e, 0x72df081a, 0xae6fb710, 0xda9b075a, 0x981c9d54, 0x91d7fcc6, 0x1c7e586d,
+    0x16ca8f02, 0x23c2e1f9, 0x7b6b6c8a, 0x40ed2070, 0xefb767f0, 0x2fabed49, 0xe48018d9, 0xca00fcdc,
+    0xa70905f3, 0x8e06df57, 0x80ad4e0b, 0xe3b0d32c, 0xa5dbbaff, 0x7e8f5404, 0x1fce8580, 0x5147cf2d,
+    0xea711ab3, 0x4dd3b49a, 0x78f47bb6, 0x6c540c86, 0xf7b6ebe2, 0x7a5c65ec, 0xc8b9f8af, 0x302c2e38,
+    0xfaba5669, 0x4c854de6, 0x214d4987, 0x88d32a77, 0x539c78cb, 0x658c0100, 0x03fade2d, 0xeccd3ee2,
+    0x468bfb8d, 0x55146eda, 0xddc053db, 0xa23491d9, 0x568cd3e7, 0x92ab5c5a, 0x9b4c8304, 0xb5ec86d0,
+    0x4364eeca, 0x9de9d5e1, 0x4518468e, 0x7df1d756, 0x016a01be, 0x6dc24fa3, 0x271b196b, 0xb4f5b0ee,
+    0x80db0a8f, 0x3dd1ad20, 0xf5e28e7a, 0x84d2048b, 0x85bbdcbb, 0xf09ef676, 0x649487aa, 0x95f64b3d,
+    0x5d85a420, 0x6a728b3d, 0xbc0a5f96, 0x67e2ca0e, 0xdd4cb871, 0xffaebec6, 0xebd2a814, 0x9f99e7af,
+    0xbe211191, 0x9eb72f84, 0x4b8162c8, 0xffc376ed, 0x9cd41030, 0xd3a92afb, 0x93ad2f14, 0xbc01a6b1,
+    0x2be8bc23, 0x59860fd7, 0xcec906d0, 0x9bdddf3b, 0xd71c1699, 0x96739364, 0x7291005a, 0x29aec009,
+    0x33e3f054, 0x6849a958, 0x6e5ed9da, 0xeae38dc3, 0xb2d9e931, 0xeae1d337, 0x1ab9602a, 0x68411cb7,
+    0xdadcb6a8, 0xda0bd9de, 0xdd1f739e, 0xb82e1ae5, 0xa0da631d, 0x24311abf, 0x2d1da41f, 0x8a8ef56d,
+    0x4fb4511a, 0xdde4586f, 0xf92e313b, 0x8f432328, 0x544409ef, 0x7009fc45, 0x09d21850, 0xd4f993fe,
+    0xb7b1a6f4, 0x27b61b52, 0x9e63cc7b, 0x78ea6fe7, 0x3f70284e, 0xcba9c6d3, 0x4b1c90ca, 0x458be8df,
+    0x0ef20da8, 0x7bd2bd17, 0x44a0bca4, 0x55f59156, 0x388d2478, 0xdb4e673a, 0x19d4f8b1, 0xc46dfc4f,
+    0x0ac38277, 0x7a0a041f, 0xc3727aa1, 0x7888a66b, 0x08d92d14, 0x7ad7d8d9, 0x2d6b2189, 0x13ddb9f1,
+    0xb8a8c718, 0x653f1efa, 0xb4df9ed6, 0x349d5af0, 0x4f153097, 0x91b98ea5, 0x85502997, 0xa1e8edd8,
+    0x3942530b, 0xf1e4b45b, 0x5ce5234e, 0xe64094ad, 0x64dc37b2, 0x4cbd200d, 0x07fef59c, 0xba4c73e6,
+    0x966f7914, 0xd22c01b2, 0x59c3fbf1, 0xb0812996, 0xc5ff2359, 0xb49f225b, 0x23d0a204, 0x3fb34f0c,
+    0x3ffb784b, 0x14631a36, 0x772695f1, 0x947b5026, 0x0bf644cb, 0xfcad441d, 0x16539eca, 0x3312b7a9,
+    0x54f193fa, 0x3f0a3c69, 0x4717e71b, 0x8462b9a7, 0x81557ac8, 0xedf3f028, 0x902637cd, 0x9b41c71f,
+    0xe14185dd, 0xb33a21e4, 0xf462029c, 0x985ff0b1, 0x90b1a9d3, 0xe8ad9f60, 0x727ccd45, 0xfb7f2fd8,
+    0x9407ecf2, 0x9276bbe2, 0xfc533923, 0x160c85e7, 0x2defaf85, 0xdab03a2c, 0x8bf6597a, 0x806c5158,
+    0x8fb24f6c, 0xa2c293ad, 0x009ff680, 0xa805bfff, 0xad16fae1, 0xaadeb526, 0x0a84b4d6, 0x9a15afe6,
+    0xe9d8ff3f, 0xbd90d79c, 0xd511c7f7, 0x3b5ac26c, 0xb3168747, 0xced08c3d, 0x9820a2f6, 0x50f3d793,
+    0xc03c66b1, 0x52f4fba5, 0xde4e7706, 0x66d7976e, 0x86d9e35e, 0xf9b06790, 0x3d4fa39b, 0xfd69594d,
+    0x9533be35, 0xd5b94997, 0xafa64629, 0x8b945406, 0x5cd0f312, 0x42a5c135, 0x19dc9848, 0x3355c9b2,
+    0xb83df169, 0xb21ced41, 0x9e7baecb, 0x34a36b6d, 0x509d6732, 0x63089749, 0xddeca0fc, 0x2af97349,
+    0x1045f8dd, 0x0963eba3, 0xd67cba05, 0x8f88da16, 0xfdcfabcd, 0x849afc6f, 0x4c40a0d7, 0x8b3cf5f7,
+    0x710ea8d9, 0xbb9837af, 0xfec720c0, 0x535c9b75, 0x3e79dc31, 0x836504e1, 0x03266b02, 0x17bdca5d,
+    0x410c23da, 0xd43504b5, 0x0507ccdd, 0xa4837cae, 0x11284412, 0x07ddc108, 0xe398ae59, 0x0c122a12,
+    0xc24e6401, 0x5b17444f, 0xc80ee5b6, 0xaf6f36d0, 0x001004d4, 0xfd75c3af, 0x2362dfdc, 0x3302e310,
+    0x1c572fed, 0xa607f82e, 0xef8e94af, 0x047ba601, 0xbbe9c3d4, 0x520aebee, 0x5f13a2e1, 0xe3cb28de,
+    0x35de4397, 0x519b2443, 0x463116a2, 0x99e72b80, 0xd66a077d, 0xcb0d81ba, 0xce17d257, 0x3b95b563,
+    0x5368438b, 0xe5ed64b0, 0xed0211b3, 0xa75b9de9, 0xbfc3e2f2, 0x6eef7be8, 0xf86b5803, 0xd2e08063,
+    0x670b76bb, 0x5b3553ec, 0xfa8b5f8d, 0x339aba8d, 0x4819f9f1, 0xb259dfb4, 0x8ad2ce79, 0x391a97b2,
+    0x1aad9645, 0xf9cce614, 0x9b324879, 0x22927c08, 0xe3ca0e65, 0x70cc06eb, 0xf07f9e2f, 0x2aa60858,
+    0x03f52b74, 0x6159c10f, 0x418586d6, 0xaeff9f65, 0xa949966d, 0x6fec00f4, 0xeee5e251, 0xf4e1ff51,
+    0x08d77490, 0x4b65b1e7, 0x8b08c5b9, 0x7ab57625, 0x76eb948b, 0xa8d88d45, 0x9f8d39ec, 0xc1d97529,
+    0xa947488a, 0x68235ce6, 0xb857c66f, 0x637e5419, 0x5d5777b2, 0x5724662b, 0x5cf9ba9d, 0x9d9a23fa,
+    0x8be09ee8, 0x759fc804, 0xccbafb9d, 0xe1f951d2, 0x5c73ca81, 0x7ed9350b, 0xce7d0540, 0xe4f91450,
+    0xf2381d2b, 0x570faef9, 0x88aa474a, 0xf908617d, 0xd799c269, 0xcc74c0ec, 0xce267061, 0x7f75b3aa,
+    0xd3cf12c6, 0xef459e2e, 0x1cade493, 0x39c49841, 0x9179f85b, 0x8b730803, 0xf25a6d76, 0x92174772,
+    0x77160615, 0xcc0f944b, 0x27ddab00, 0xa608de7e, 0xc6bbc4da, 0xb2406645, 0x6bfb381a, 0xa243c64d,
+    0x552c58b7, 0x9ecfe822, 0x71813cbe, 0x13d25efa, 0x7577de90, 0xfa5d8f11, 0x88f19c9e, 0xb2e2e867,
+    0xecfb0a70, 0x034bc25b, 0x9f64c396, 0x357de03a, 0xe7f4df32, 0xfdf98334, 0x16bf1be0, 0x8c160665,
+    0x90e0b8b6, 0xb03c98e6, 0xbb4c0bda, 0x397d09d5, 0x6ea6ad60, 0x5fe7921c, 0x8565a5b0, 0x9969ca53,
+    0xdde21f5f, 0xbb175bb3, 0xac68a423, 0xe3166fb7, 0xccbf4a9a, 0xe40a4b2a, 0x29e66c2e, 0x2e2a0058,
+    0xc8f806c5, 0x856d8e15, 0x5d73af32, 0x64a7829f, 0xb4bbf89a, 0xaa1dfd15, 0x2d1d5c00, 0xfe8fb83a,
+    0x00000000 }, /* 10**00000000000000000000000000000000000012608641982846233347929292832045956417625\
+                         51656654894293374345388935863096687910739565256520156317300505812095689818112 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336,
+    0x5b157f8d, 0xeceb53a4, 0x6dab2020, 0xb9e16741, 0x9943f7a7, 0x7547ce8f, 0x892faad8, 0xeb42f584,
+    0x00000000,
+    0x84c25369, 0x10b41136, 0x72382907, 0x1923605e, 0xb628ad83, 0xe5507d95, 0x2d72244b, 0x8b2e1edc,
+    0xe42a6d0d, 0x289551b6, 0x1c844fd4, 0xc7cc629e, 0x05576c26, 0x42dc8692, 0x61d33bb3, 0x2379028c,
+    0xcbf0ad79, 0x352ffae9, 0x45885bba, 0x0f6df92c, 0x422785bc, 0x03ec2252, 0x0d1dc6a3, 0xf93e9ff3,
+    0x41cd4192, 0x6f334cb3, 0xa09e8e7b, 0xf92e722a, 0x4d0565cc, 0x5fa15468, 0xbf2568d3, 0xcca0e0fb,
+    0xf0d38f28, 0xab8c8579, 0x7de7dc0e, 0x9bef5c27, 0x1fe12454, 0x25bcf2f2, 0x0bd198c1, 0xe87e3621,
+    0x76d655eb, 0xf5bce83d, 0xca05073f, 0xa31fd0f6, 0x65ec35eb, 0x558b7ee2, 0x5e26b293, 0xa7c32b31,
+    0x8e4d37ac, 0x193c7deb, 0x4e27f885, 0xdf7bd11f, 0x50e65d97, 0x914c679a, 0xc608b848, 0x9b40b91b,
+    0x47f6b24a, 0x21a0110b, 0x2b6e9575, 0xeeb8b85f, 0xb1d23c7b, 0xb66b3615, 0x25dc9a69, 0x514a0776,
+    0x575c831d, 0x7e55afe1, 0xb67a0cd5, 0x57179ae4, 0x9796c80a, 0xaf0a851b, 0x077b3cfb, 0x904b21e9,
+    0x2247bee4, 0xbb039111, 0xc9082f6a, 0xd98761ed, 0x7e98c8e9, 0x4f165c3a, 0xc312a28a, 0xac78e01c,
+    0x026004e2, 0x08090dc0, 0x650639b8, 0x500cd88f, 0x641018aa, 0x227491b5, 0xa7a6e45c, 0x874185db,
+    0xf846e936, 0x2fd71288, 0x436deb19, 0x37e369d8, 0xfbffd783, 0x79312227, 0xcdec9dd0, 0xe18f0ea4,
+    0x613bd79c, 0xe01e264e, 0x17ba542c, 0x2059328e, 0x11cd308d, 0x973becb2, 0x7c01189b, 0xf61f7aa0,
+    0xc74f5a10, 0x9db457cf, 0x064ea8dd, 0xaf787389, 0x142cbdb5, 0x66684984, 0x161d2b7e, 0xa6147595,
+    0x14fd6a3e, 0xd0abe6e4, 0x793f6cab, 0x0f7cfbb4, 0xeef04e1b, 0x2f083b50, 0xf65122bf, 0xf62b5d92,
+    0x8ff4ee6e, 0x9a97ef4d, 0xe4682a83, 0x82801d0e, 0x10740280, 0x98a80124, 0xc397b6a7, 0x0a124e06,
+    0x5afa8f28, 0x79e2f9ca, 0xe04d8068, 0x9239eb3d, 0x98eb3490, 0xb7d55c97, 0x5429b1b5, 0x7560ec93,
+    0xc22da2de, 0x75ac547b, 0x2838803d, 0xe193aa2b, 0x82f7a654, 0x4ffc4bf9, 0x28be97c6, 0xe0b83533,
+    0x6e1d3bac, 0xb0bba819, 0x03daca48, 0xfc2ae2af, 0x4b761b22, 0x248ea5d3, 0x7f309263, 0x061f9570,
+    0xcb5fcae5, 0x5cebff38, 0x1e42fa48, 0x142e7766, 0x0cefd096, 0x294bde96, 0x2ec4c2a2, 0x082148e1,
+    0xc59934fd, 0x44aa1b77, 0x805a12de, 0xd4ada10f, 0xffe3ae48, 0x69a2f0f2, 0xd22bd0db, 0xf99a6f9a,
+    0x945a0918, 0x7656ea17, 0x2ad4f4c8, 0xf16d81f8, 0x4036b964, 0x354a51da, 0x50b334e0, 0xdb110eed,
+    0x42b13b84, 0xd81e0311, 0x9bcbf441, 0x0f623484, 0x7de53fa8, 0x35958cda, 0x4e4adc57, 0x9c8780ed,
+    0x17898281, 0xf1d7723d, 0xadc0f7cd, 0x92b908ff, 0x9e5e470c, 0xf3f2406a, 0x663ae942, 0x85ac26d1,
+    0x6192bd60, 0x2afc008f, 0x63ff78dc, 0xc597e4e3, 0x5592d657, 0xbd4315a1, 0xdef635aa, 0x8fb0d0a5,
+    0x450388c4, 0x0a1ee710, 0x8b5785ec, 0xbf22decb, 0x59dcb0bd, 0x56704922, 0x218aa530, 0x4e63afce,
+    0xfb16b6b7, 0xbd87d9c9, 0x8e41f520, 0xc2938cb1, 0x96df73e1, 0xc9a7e400, 0xae50762c, 0x5d2da969,
+    0xb88df8c8, 0x46170eb7, 0xa2795788, 0x1742d8b6, 0xebbf8889, 0x23bb77b2, 0x81c187d3, 0x113009c4,
+    0x6d7df8c8, 0x4153579a, 0xb24a59d9, 0xb09ab433, 0xd416495c, 0x0f51fc8c, 0x50c72955, 0xb87dd0cc,
+    0x52e193c0, 0x904ea0c3, 0x87d45a48, 0x7e36668c, 0xabc01722, 0x904dddcc, 0xfb04ba48, 0x6d2a1818,
+    0x1c004e9d, 0x0610e3c8, 0xe6f4318d, 0x0741a382, 0xf027c125, 0xa0284ee4, 0x3cd45f62, 0xc2f6c5c8,
+    0xb5249871, 0xeb5c1305, 0x1a3a0d51, 0x80c58d1e, 0x56b2abee, 0xee7a0f59, 0x8ca1c9a7, 0xee31493f,
+    0xbc955966, 0x4509123a, 0x42b3067e, 0x48ea5d1e, 0xb6230135, 0x56664fac, 0x36cda996, 0x3efd83f3,
+    0xa9035114, 0xd48b129d, 0x362b086c, 0xe981b399, 0x26f106ac, 0x8468b526, 0xd277d3a6, 0x88d6ad6d,
+    0x2c21a066, 0x12d57a42, 0xed155439, 0xe8ae1dd5, 0x7cf34306, 0x92567222, 0x3c462c1c, 0x89604ba7,
+    0xaf8de3b1, 0x0f004f75, 0xdc39037d, 0xe4307842, 0x0fd3791c, 0x567251ef, 0xee8f4cbd, 0xd987403d,
+    0x778457c0, 0x0bd02c62, 0xb6077426, 0xd0f8d772, 0x2e1415a5, 0x065df503, 0x9516446d, 0xd4389c66,
+    0x357cbf73, 0x433c9efc, 0xa9d309bb, 0xe6a18981, 0xc9fd96a6, 0xc3d6992f, 0x7b7a3d0e, 0xe390d922,
+    0x8dc59abd, 0x73e1fc7c, 0x4bfa6c1f, 0xc4c17b16, 0xc0e17f81, 0x46ff6dbe, 0x54989bfc, 0x2e1b7bb5,
+    0x79c18c15, 0xe42100db, 0x542e270e, 0x1a6d1da0, 0x2b90946c, 0x489ab06b, 0x33c0e473, 0xffa498a5,
+    0x21bb36cf, 0x9e8f1694, 0xce555668, 0xbfd9215f, 0x2e3d82b3, 0xa0915a5d, 0xa671edc1, 0x19be8c2b,
+    0x5ee94d57, 0x69f50e5e, 0x964ae0ac, 0xe2b6b42d, 0x604a45bc, 0xb4dafebd, 0x2cfd37ac, 0x12429851,
+    0xd466e91f, 0x6a80a231, 0xaf880810, 0x2bb37128, 0x9ac24864, 0x544925b0, 0xdb76a8c9, 0xbdc71aea,
+    0x6f9613e2, 0x32b31e67, 0x3d4706b5, 0x21b49201, 0xa1ef4291, 0x109fafe7, 0x70d7503e, 0x5895cc05,
+    0x929d700d, 0x87de3911, 0xf0c79488, 0x35697879, 0x2ec89ccc, 0xbb544619, 0xb7bfc55e, 0x47ad1a14,
+    0xdba57deb, 0x9cb0587f, 0x3f73d7b9, 0x3415c6a3, 0x5f984474, 0xc090639a, 0x51cf2f7e, 0x6e736385,
+    0x431f061a, 0xc48818ab, 0x93ac4bb8, 0xb510c7e9, 0xebdb2abb, 0xef5b426e, 0xb52a3da9, 0xcc39570e,
+    0xc80b3643, 0x9527c648, 0xa7b84b60, 0x0c4d15c9, 0x683da225, 0x210bb7f2, 0xb2dfc6ea, 0x77b1daac,
+    0xe159a3cf, 0xf3a5e78a, 0x4349c2c0, 0xde063a02, 0x41282416, 0xbea3692c, 0xcceb1c32, 0xb84a205b,
+    0xfa8a0182, 0xc487c501, 0x23b80dc6, 0x3189a7bf, 0x9074df27, 0xbf7c52f8, 0xef5674d4, 0xa6f0c354,
+    0x6a805150, 0xe8546087, 0x5fdf2edc, 0xc33b5312, 0x46592580, 0xcc738356, 0x71a68706, 0x625b70b9,
+    0xf1318730, 0xe50b6713, 0x4d74dd7c, 0x1c722a21, 0x92addb6a, 0xc1c421d4, 0xa90317a1, 0xa2372631,
+    0xb22ef439, 0x4e94e19f, 0xe777c046, 0x2f914a46, 0xe0ba0983, 0xbd6fd4d8, 0x35fb20c0, 0x3527273d,
+    0x5e775b95, 0x09c56e52, 0x7a01f16c, 0x5c9e19a1, 0xdc1274f9, 0x8d2ddbfe, 0x2531b70b, 0x90c17f02,
+    0xf986d5cc, 0xa7279c51, 0xb378b286, 0x0c880be3, 0x9f118a59, 0xb2fa4210, 0x675282e7, 0x4b42eb56,
+    0x66c95167, 0x1a8d7efa, 0xdb619326, 0x7ac3ed5c, 0x6b374f65, 0xa00e82b3, 0xe1ff9b1b, 0x863953a3,
+    0x934efdeb, 0xb88e7626, 0x33db1246, 0xc6b3d49f, 0x017fa30c, 0x37de24d1, 0xb5bec60e, 0x75efb852,
+    0xf62f144c, 0x41a677c1, 0x443a0e94, 0x184f15c0, 0x1f14a0ac, 0x5c5f6889, 0x8288e809, 0xb6416589,
+    0xbf1958ee, 0xc47260e2, 0x7d27ba01, 0x35e552cc, 0xa285edee, 0xb3e80b50, 0xd28c3432, 0x819c38de,
+    0x2c918641, 0x2f882ffb, 0xd9842f3e, 0xa2cbfe53, 0x1b858bde, 0xf9a6ab1d, 0x2c2bc0b6, 0x57c2fafa,
+    0xfe378749, 0x4fd1771b, 0xc02a4077, 0x4f6c6b35, 0x0656b6f6, 0xbee42b3a, 0x08369d9e, 0x3d2d899a,
+    0x7be149da, 0x9d9c2622, 0x969a2112, 0x0b55d835, 0x204c17bb, 0xd94f2438, 0x34352465, 0xd79ccf7e,
+    0x25dd9aef, 0x097188f9, 0xbc006d8d, 0xb28fa094, 0x26db4580, 0x7c98b88f, 0x6225aa86, 0x5dcf4f60,
+    0x1acb9024, 0x3bcf9dbb, 0x08b45afb, 0xe160d6ca, 0x414444a0, 0x3f2fa8ed, 0xf67ac241, 0x6a12d6b6,
+    0x12b88260, 0xa0c0990e, 0x815de7af, 0x31954f1b, 0xd8fe51cd, 0x9f93424f, 0xcf580b55, 0x25d20035,
+    0xa19dc336, 0x650fa323, 0x102238af, 0x1a85cdeb, 0xa8f95279, 0xc07669ad, 0xbe62f93c, 0x78ac1647,
+    0xde353862, 0x19826109, 0x06eb8dcf, 0x16609494, 0xfcb03e20, 0x71692f90, 0xa2f8f86e, 0x8a78d6c4,
+    0x0c0c6f27, 0xae38a781, 0x80d4d90f, 0xa347250b, 0xe79370ea, 0x872399e8, 0xadf702be, 0xdd4376d6,
+    0xa3151f71, 0xce74fd54, 0x5ce872a7, 0x7dbdee2c, 0x0301513e, 0xdb83e96b, 0xb0b202ec, 0x580d7d37,
+    0xff5954f2, 0x476bead8, 0x8905b704, 0xb9f1eb2f, 0xb313af79, 0xa17c65bf, 0x5dde4ebc, 0x73e2d1c9,
+    0xff4b99d3, 0xc63b1d18, 0xdc7f551b, 0xc63fef6d, 0xca05d902, 0x60da380b, 0xb6527cb3, 0x83587cd6,
+    0x64a93a77, 0xd27167a2, 0x85087515, 0xc7b318e6, 0x4cbb4ffe, 0x7afefdb6, 0x7526534c, 0xfef41b49,
+    0x90981777, 0xcf692cb8, 0xa582a6e1, 0xff660a8f, 0xfcd51385, 0x55fe6bb9, 0xf1249a6b, 0x7256ae68,
+    0x0386b6a9, 0x7c4a2e12, 0x6b099e90, 0x3caa8a0c, 0x8f87cd92, 0xaa25cfb7, 0x858f86e1, 0xc3c02fa1,
+    0x698dd856, 0xe9781e8e, 0x2a7fd964, 0x9aa1004d, 0x27117043, 0x3458f144, 0xc1c8d670, 0xd36717e1,
+    0xadd61539, 0xd51163c8, 0x8910d4d8, 0xbcb99063, 0xcb974a7c, 0x409d8a07, 0x861aead6, 0x9b746898,
+    0x7b06dc71, 0xbd5909a9, 0xb7d05ae0, 0x24513398, 0x137b1c58, 0x4ddbf5be, 0x4a849c7a, 0xc4465f1a,
+    0xd6442e1c, 0xe9505e2d, 0xe17b3695, 0x3206fcd2, 0x96d91523, 0x0c53454b, 0x61533984, 0x95630ecc,
+    0x8901ee5d, 0xc32be4df, 0xaff0045d, 0x99cc8efb, 0x15e91666, 0xb6931959, 0x338e947e, 0xcd4599d5,
+    0x165c4ef8, 0x11b4bc53, 0xd36619cf, 0xdf917282, 0x9189ad73, 0xb55e63a0, 0x606ebfeb, 0x6ef112cd,
+    0xc452f059, 0xab1ed217, 0x6827552b, 0x66300abf, 0x362f92ac, 0xc675f3c1, 0x60b5dd9f, 0xff8d510b,
+    0x65729aa6, 0x3d4653e5, 0x527c6deb, 0xa069fd9b, 0x9e835a67, 0x8d916f3e, 0x04d80d34, 0xacc29000,
+    0x2a017ac8, 0xa584e54e, 0x38cbd08f, 0x36c9d55e, 0xb458d9a0, 0xee7664c3, 0x8c5761f1, 0x78e5924a,
+    0xd7c0fac8, 0xdce86434, 0xe8b02e0c, 0xefa9a423, 0x4e04188d, 0x234c21c0, 0x94d7d0ae, 0x0ca9bca1,
+    0x3d44f186, 0x63419b43, 0xc3cf016d, 0x66032e60, 0x422d8ae7, 0x7effda93, 0xecda67aa, 0x0c4cbb9a,
+    0xca2d8673, 0x46dcf7a7, 0xb081ab1e, 0x06667ee8, 0x023d1ef4, 0xbd2c4476, 0x68908c5b, 0x92863262,
+    0x991562e9, 0xbf910cfb, 0xc128df3d, 0x7247db2e, 0x4f64bb37, 0x58706ee0, 0xd9e488b4, 0x0622babc,
+    0x975ecad8, 0x324bd9de, 0xe818a94d, 0x95600602, 0x1a20792d, 0x51eb7e7f, 0x32deff55, 0xad123a76,
+    0xb87e87d4, 0xa1d3bc2f, 0xb73ce74f, 0x6f4d859d, 0xf2929160, 0xed46554b, 0x142da5ba, 0xb5dfedba,
+    0x1d981ae7, 0xdba38df9, 0x32abf27d, 0xc245a9ad, 0x0a2f8c39, 0x42d7e253, 0xf7423c79, 0x9449f1a4,
+    0x387f1df1, 0x12b69f77, 0xbbb3be07, 0x1e2b6054, 0x87e56fdd, 0x678dab61, 0xd212fe00, 0xcf942860,
+    0x3fde3051, 0x25d526ba, 0x3434abe4, 0x22b0f892, 0xa59da9df, 0xd7645b21, 0x669e4deb, 0xefd75be9,
+    0xb3dcb81a, 0x7160bbd5, 0xf13dc8d3, 0xc7b76234, 0x77db8a4b, 0xbcef3e51, 0xd64ebc8f, 0x5293f36c,
+    0x714dad9a, 0x17214d1e, 0x4bb8b84d, 0x74a8a9c5, 0xd6ad27a3, 0xffb2944c, 0x13f72591, 0x1d4847db,
+    0x1b5778a9, 0x522d0a85, 0x6f373a13, 0x3b2e12bd, 0xb391bbe7, 0xbc662f01, 0x5d7bc24a, 0x2a1f5992,
+    0xc2825765, 0xeb971cec, 0xd01c0e30, 0xd42b3ec0, 0xd7580707, 0x585fcab7, 0x27989b00, 0x50b276c7,
+    0x25c0a645, 0xcb6e1e52, 0xe851cb77, 0x54f8215d, 0xe4b8aa65, 0x666b22e4, 0xf6d7f99b, 0xcd2da91b,
+    0xbe1dedfd, 0xa49011c5, 0xa1dd43c4, 0xcb2d1a63, 0x823ba3c3, 0x7491ad87, 0xfbf10898, 0xd90b244a,
+    0xc54755bf, 0x71101715, 0x34c30b24, 0x29414280, 0x8887fb4e, 0xeab85dbb, 0x3c1c0f58, 0x6e322e44,
+    0xbdce1a7f, 0x842b3fe4, 0xda169e3c, 0x8bf2ada3, 0x20422c5f, 0x6bd67c17, 0x5f887672, 0xa20d63d1,
+    0xf3bdee42, 0xedb40d73, 0x2caac057, 0x8005eb2e, 0x2c7a5ef2, 0xcaa08685, 0xd185f69a, 0x854f1bc6,
+    0x2492b69e, 0x54f99dbc, 0x5323eeba, 0xf61f0b15, 0xfb124e6f, 0x4c6bcea7, 0xf5930fcd, 0x5be094c3,
+    0x518e61ad, 0xa8c4267a, 0xcc4ef000, 0xa80a8eb8, 0xc00032e9, 0xfb95cb1d, 0xf52c1038, 0xc9ac5d63,
+    0x93c2e659, 0x6c032ef9, 0x28a72cc5, 0x2c948841, 0xded03ab1, 0xf340b8e8, 0x5e64c831, 0xd39c87fb,
+    0x1a1a3d5a, 0x3174ccde, 0xbba43d60, 0xe12b7d97, 0x0c3ba3a3, 0xf8409e6b, 0xa5397240, 0x8bc0215d,
+    0x71ad3344, 0xa9cb2085, 0xb0e5db3f, 0x4069e4b8, 0x5d1d46b7, 0x505d0924, 0x9ee875e4, 0xb6cce193,
+    0xa662afb1, 0xf9a955ae, 0x8e556838, 0x1d662f6e, 0xd30b69ce, 0x400a0179, 0x55bc028b, 0x579448da,
+    0xa24bcbdf, 0x3f4c28e9, 0xefdec041, 0x18535859, 0xf85547ed, 0x716079e6, 0xf768fd90, 0xdde166ec,
+    0xfb8937a7, 0xe9f2e017, 0xafe1d8e3, 0xd8a9ff5b, 0xb1178c2d, 0xd8aeeefe, 0x5b425f70, 0xc3255f71,
+    0x923c8b07, 0x26dfd8e8, 0x9a113995, 0x0c64e8cc, 0x829100f5, 0x0d330bd1, 0x62a1c92f, 0x7872d894,
+    0x9570dd09, 0xaa9dc97c, 0xae2e3a34, 0x2448403f, 0x31811fb0, 0xa4e2622d, 0x7412febd, 0x3f3e8200,
+    0xefacc5cf, 0x1000feab, 0x4be62221, 0x453a9849, 0xc666a468, 0x1599d7bf, 0x7ebd975b, 0xf8f473c4,
+    0x58070b37, 0x28508b34, 0xf1462a6f, 0x529f28be, 0x06379635, 0xc1b1468c, 0xc0232606, 0x98a1ba07,
+    0x632753ac, 0x236788da, 0x06c4ad7a, 0xf26f8579, 0x09f637df, 0x28fe907a, 0x76022238, 0x4d25f18a,
+    0xadca9627, 0x340ae480, 0x0494a12e, 0x44420e46, 0xa7478b70, 0xcb5e524e, 0x4f89e837, 0xb8ccd405,
+    0xa937fd10, 0x82b2c76d, 0x3dc3427c, 0x7132611f, 0x31eff198, 0x1068af05, 0xe83ab562, 0x02add0a1,
+    0xc2cdc6ea, 0xf7086b70, 0xb67d0ef7, 0x60784856, 0xe2e12ab7, 0x275906fc, 0xac05c77b, 0xdb7f27f1,
+    0x9ec139a8, 0x79de6520, 0xf0d9e115, 0xb3e7dd20, 0x19eb554b, 0xf1eb8f11, 0xbb60a8b4, 0x26f4f1ba,
+    0x491bf9f7, 0x118861d8, 0xac9ceed0, 0xf090f297, 0x8164b075, 0x49c659a9, 0x42986a65, 0xf3e36f2b,
+    0x3db9f2d8, 0x540c5830, 0xeb1599ad, 0x9ab60d70, 0x3c001be6, 0x0bcf7217, 0x1213d5ec, 0x6fa39841,
+    0x03e4d708, 0x48ab6b71, 0xcaa1bf8a, 0xf310e9dc, 0x9c3f17aa, 0x426d6010, 0xf17cde34, 0xefd56207,
+    0x74796cc0, 0xa8714a9e, 0x9ad9e18b, 0x771131a2, 0x1a1bbc0f, 0x2e1d79cf, 0x9d0bddd5, 0x4fbed120,
+    0x4f13fda7, 0xaa5e4e3c, 0xe1de5c7f, 0xed54be1d, 0x220e1759, 0x5bdd42de, 0x4cbd937e, 0x0e660f1a,
+    0xfecaed58, 0x953d741a, 0xd702f2d3, 0x33349587, 0x28872b65, 0xbb310b0a, 0x3ea1fce6, 0xd9a6f597,
+    0x03fc848e, 0x203b7d57, 0x0ec1501e, 0xb3cdb5fd, 0x7e3ca918, 0x3c1cbadd, 0x632c9ee0, 0x7f35c3fb,
+    0x40b1e69c, 0xb715d9b3, 0x4b37079c, 0x496a3322, 0x6c00eb31, 0x3f3ab712, 0x11860350, 0x3d3a149e,
+    0x00000000 }, /* 10**00000000000000000000000000000000000006304320991423116673964646416022978208812\
+                         75828327447146687172694467931548343955369782628260078158650252906047844909056 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b,
+    0x2d8abfc6, 0xf675a9d2, 0x36d59010, 0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e747, 0xc497d56c, 0x75a17ac1,
+    0x00000000,
+    0xb85a9309, 0x498b9c00, 0x1ea1ce95, 0x93f30718, 0x989c5765, 0x5994dabf, 0xa7856095, 0x64627e0d,
+    0xb7654641, 0xa2766edf, 0xbdf28046, 0xf94484bd, 0xaed37a26, 0x75cf76ed, 0x1dd82360, 0xc744d4db,
+    0xe249ca7a, 0x94a7c7f2, 0x08b33399, 0xe82fccbe, 0xeaaf6dd1, 0x996b8a3a, 0xceee3816, 0x58b76742,
+    0xa755c9e0, 0xf92d86dc, 0x9dce98ab, 0x880dabda, 0x029f3bfb, 0x5e84045f, 0xc1bbba7c, 0x53148b63,
+    0xf6df8b4f, 0xf5cba9fb, 0xaff84abe, 0x409aa851, 0x3a3a4f8c, 0x434d0dbf, 0xc7bfa9de, 0x29973391,
+    0x95204fae, 0xae4dd222, 0x8300862f, 0x994f0378, 0x138ae3f3, 0x89ce319e, 0x28f1753a, 0x0e8d1e04,
+    0x63816e2d, 0xbeb72b6c, 0x49113823, 0x2e1f6a9d, 0x4594f604, 0xdcccec28, 0x3ca1f850, 0x02561c2a,
+    0xdf7debd3, 0xc96ce432, 0x3059e054, 0xf3c093dd, 0x53e71640, 0xf27dbcdd, 0x98f90290, 0x39df46d7,
+    0x70d6ad6a, 0xde2db4c1, 0x1117d7bb, 0xbcecf8c8, 0xe1cd33ad, 0xed522e38, 0x94ca7a0b, 0xf810c6f2,
+    0xf4628a3c, 0xb054ff7a, 0x3753ae4a, 0x7563caa8, 0x7e399e7a, 0x8c339eb1, 0x178c6433, 0xaa2ab1b7,
+    0x9049fe41, 0x91d8575b, 0xda40b78b, 0xbf47dd33, 0xda72c57e, 0xc02cb3bf, 0x3cbebe66, 0x111f22d3,
+    0xf68c6818, 0xd58e27c7, 0x192fa442, 0x7d7b1512, 0x7929b78f, 0xabebf7d8, 0x381aff95, 0xc8851e1b,
+    0xc4165772, 0x294ab892, 0x3fffc0cb, 0x123f9391, 0x8d7b491f, 0x69fb4fb8, 0xeed557aa, 0xd9f70a6b,
+    0x9af5bcbc, 0xd402b1d7, 0x7f1bb696, 0x2c3c37e3, 0x89899bcf, 0xf8278194, 0x1207d0e8, 0x76c477ea,
+    0x6257340b, 0x5d3b52a7, 0x5cbdcf13, 0xb7099478, 0xce0e0fbe, 0x581aa3ea, 0x0a71856f, 0xe43135ff,
+    0x9ea30951, 0x8a8e8429, 0xaa1e0037, 0x16974f18, 0x69db0a2c, 0xfbd57661, 0x5dc2a4c2, 0xb98024d2,
+    0x1336b306, 0xe8dfaa49, 0x81405460, 0x2160735a, 0xfd18e4ce, 0xca916922, 0xfd96ef5b, 0x4116eeef,
+    0x4bfa7bf1, 0x62df50e5, 0x564a5099, 0xefa78da7, 0x562eedf0, 0xa7610d97, 0xb5a3ecaa, 0x54c2c360,
+    0x0838c81a, 0x04795604, 0xe3bc2510, 0x1290076f, 0x62094583, 0x16f26f1f, 0x07ae64e8, 0xc2552039,
+    0x96404e55, 0xde0b4d21, 0x10a879bb, 0x534bb82b, 0x0f1f8400, 0xce9f814a, 0x813f0bbe, 0x79437673,
+    0x88ed4bf5, 0x5ddcfb02, 0xeedb1ecd, 0x9f8a1459, 0x3d78ad36, 0x8f73b4f4, 0xde1ed52e, 0x6f8a0cc3,
+    0x8c6928c0, 0x8c2b2eda, 0xa9d14736, 0x3821f8cb, 0xf2c0ad7f, 0x5761c3eb, 0xec58d58d, 0x4c53751a,
+    0x8d688dd4, 0x9b9d5257, 0xe3583caf, 0xe52eabc0, 0xea26e3e8, 0x6f851207, 0xcd3149d0, 0xb6a4c6f8,
+    0x0698adcd, 0x4403c41f, 0x59ab3344, 0xe309b7a8, 0x6952e597, 0xcf707429, 0xae3e822d, 0x2bec469e,
+    0x9b15be5f, 0x344d4c48, 0xc105c24d, 0x0eaaff84, 0x0937baa2, 0x75b20d79, 0x4b010121, 0xb52266d4,
+    0x0f24e924, 0x72655f66, 0x292c00f7, 0x3599dcfd, 0xe7903e00, 0x301e67c5, 0xa01a072f, 0x73b853e2,
+    0xd930c0d3, 0x07d9338e, 0xb81cd5d4, 0x6a0cdff3, 0x33e3e3d9, 0x0d3bb628, 0x2292734d, 0x2abd7dff,
+    0x59a0fa90, 0xfd77b3bb, 0x9b61bb64, 0x06707bc0, 0xa1ab8311, 0x991c8a2b, 0xc0087926, 0xb7d7391d,
+    0xffe1a47a, 0x9163f2c5, 0x43acda7c, 0xf6cea862, 0x5b07d531, 0x2316e361, 0x7ebd7c4b, 0x74c6601d,
+    0x5dda18bf, 0x8dde2ed4, 0xe9094c26, 0x950ae473, 0x881b849f, 0xb7178832, 0xa39755d7, 0xad3829f0,
+    0xc48dc678, 0x68806af2, 0x191766f0, 0x031b3297, 0x3c8478af, 0xf40b952d, 0xd5ec796c, 0x6533f42c,
+    0x715236a3, 0xc456a6a7, 0xa45a7403, 0x4463960f, 0xe3693d98, 0xcc764948, 0x9a6538fb, 0x8a095fc2,
+    0xa7751e59, 0xb72c9e4d, 0xadd84362, 0x83f479fe, 0x81748e7a, 0x5a57b487, 0xcc6442f6, 0xeceef9a5,
+    0x383b6490, 0xa116f129, 0xa655af2d, 0x76881419, 0x97ffdf36, 0x46fcaf47, 0x360e332f, 0xb27cfd89,
+    0x5fcc753d, 0xe4fb8f18, 0xac3b98b2, 0xadfe06b4, 0x4530bbad, 0xea702b33, 0x376246b1, 0x2a256e16,
+    0x12f8ffda, 0xe104843b, 0x9bd8f982, 0x155321a8, 0xb5a311e7, 0xe1757d81, 0x5eaf5948, 0x800f3275,
+    0x48f6f73a, 0xc6074f33, 0x34ffc3f8, 0xe528b6df, 0x5a88c41f, 0x0c08204b, 0x8bfb1a92, 0x1ba36138,
+    0xa0640b80, 0xcfb5505f, 0x582d2035, 0xaf789db0, 0xd6c4c425, 0x75ed096a, 0x177aec69, 0x7c812bdb,
+    0x401866a1, 0xc47b668e, 0xcbcade5a, 0x6ea4ec5a, 0x523fce0b, 0xa2f2a6a2, 0x4641a3af, 0xad69d4c5,
+    0xd8d8bc3a, 0xd25b0ede, 0xd388036c, 0x796fbeaa, 0x83fba613, 0xc5974fe9, 0xc3360d80, 0x576ad9b2,
+    0x674489f3, 0x266e17e8, 0x18765505, 0x668a7db9, 0xa08a3374, 0x4032e03c, 0x90aa501f, 0x23577a5f,
+    0x2e9104c9, 0x734ca507, 0x997a3c6c, 0x42a83a86, 0xd36e9dc8, 0x3790b63c, 0x519455da, 0x48674143,
+    0x202ae8a5, 0xb684331f, 0x25fa0c10, 0x516ad717, 0xe4178978, 0x07bc0270, 0xbfa9c879, 0x46270b50,
+    0x2b28e641, 0x692ee4f1, 0x89629c62, 0x1f89926e, 0x5c8bfc8d, 0x7b10101b, 0xc10b4f33, 0xb2bbae8e,
+    0x59bb8ccf, 0x4fff6657, 0xa818966f, 0xbf88ea60, 0xe5ba228a, 0xd7875570, 0x95e0a3cd, 0xb27e772b,
+    0x3ebeb2ac, 0x398badc1, 0xdbcb6fd8, 0x11ac0b5a, 0xee80ac76, 0x3091fcce, 0x4f6d8ca9, 0xeefb4e06,
+    0xf7e1b873, 0xbd226ee6, 0x2007c8cc, 0xfe8d2a07, 0x92f02dfa, 0xf11ca1af, 0x8cf60b3b, 0x9fb2cafb,
+    0x8488a4bb, 0xf9370e1b, 0x48f83ba8, 0xe8e56d0d, 0xa74dd55b, 0x288ca84b, 0xa869e04d, 0x0bdf8222,
+    0xb6db08c6, 0xbd8b1d77, 0xc23f2df9, 0xa97fcf02, 0x769fccb4, 0x2834a80a, 0x80722ad6, 0xc3b83cef,
+    0x7a65b897, 0x6c90a57a, 0xf2413a2a, 0xceb22e6d, 0x9063a210, 0xc0fade2a, 0x6271979f, 0xae92d27e,
+    0x553053c0, 0x7e32194b, 0xb4fdad4a, 0x393690d5, 0x82b2e0a3, 0x8d6719cd, 0x91cb8127, 0xc2df0ca0,
+    0x4eabe07d, 0xe5d27d05, 0x3f784a80, 0x5cd5148a, 0x978bccde, 0x9770c535, 0xb0435a7a, 0x7fe7a414,
+    0xe90abdb2, 0x3a7b66f6, 0x3b9425fb, 0xb0fd666d, 0x2f9332ec, 0xb67b6bd7, 0x3b7d0c7b, 0x5e10252d,
+    0xff0667bb, 0xb3b98e3a, 0xb8aeb73e, 0xf2734b56, 0x1b4b4b44, 0xe91c30e4, 0x9f04a322, 0x38bb5e47,
+    0x24d0d0d9, 0xa46113cf, 0x5484cfd3, 0x1840e5d3, 0x88b2ecf3, 0xa2bb1c8a, 0xe5864f3a, 0x30ff22f0,
+    0x82724008, 0xee32ea4b, 0xdaaf6697, 0xb3217737, 0x4c18b9e1, 0x8b139cb1, 0x9a6202f5, 0x6cc88edd,
+    0xa81af4ff, 0xca270d01, 0xc2c16c0e, 0xdd9406e3, 0x9185dddf, 0x9e679d98, 0x7deafddb, 0x453bfc49,
+    0x556aefd4, 0x665de022, 0xc02e6778, 0xf8f0a9a2, 0xcbb8779d, 0x983caed2, 0x507d061e, 0x0c89fbaf,
+    0x695b55e2, 0x456fa2f1, 0xff4ac078, 0xa0b9b99f, 0x92c85060, 0x7e219131, 0x9a9ad017, 0x51943f5f,
+    0x5076f979, 0x9a2cc895, 0xb70804c8, 0x729f3b04, 0x3e391aa4, 0x04d3e4e5, 0x022b14b2, 0x49c60e0a,
+    0xc4ceb4f4, 0x0ce6e10f, 0xc57b6fb2, 0x44793538, 0xb2951a50, 0xd18c47f7, 0x7fa8f3c9, 0x6fd59030,
+    0xc9d324c4, 0x026569fd, 0xa539ece2, 0xc971fc95, 0x0ae1edbe, 0x6e9f4b53, 0x91db7a56, 0x498864b0,
+    0xb3c5a189, 0xba2ead53, 0xfd89e20e, 0x7d86afca, 0x38e5e66b, 0x5f862df8, 0x3493aef8, 0x88900ebf,
+    0x8ef4de0e, 0x6bbbd423, 0x7dd7ab39, 0xc95740c6, 0x9124b253, 0x25a20de2, 0x67a9c689, 0x0fbb9cc0,
+    0x0f7ace6f, 0xa3d28ec0, 0xb8c8b94c, 0x6089d03a, 0xfddd5999, 0xf0f9ed3e, 0x6e02941d, 0x26a58e9c,
+    0xb05aae8a, 0x3f3d22c2, 0xd2df0263, 0xec6bea4d, 0xc4034baf, 0xdecb9228, 0x2c29c715, 0xd7868ba6,
+    0xa0279808, 0x49089754, 0x24c05a29, 0xf2872ca0, 0x81ba3c01, 0xd006ade2, 0xc4320d18, 0x7b699d80,
+    0x35466c02, 0x573603ac, 0x30eaa655, 0xbda71c62, 0x68b522f2, 0x7ca17e5b, 0x8686547a, 0xe4513e0a,
+    0x47900c30, 0xbef51d1a, 0xb6d95c5e, 0x3602b845, 0x2af7e087, 0x60cea585, 0x7691f37e, 0xb4aef551,
+    0x2d263e3d, 0xe77c0673, 0xa62b1dd5, 0x05944a06, 0x6828f298, 0x6a448e23, 0xc3133435, 0x9454316d,
+    0x1e7e920d, 0x922a7950, 0xae495729, 0x92561c00, 0x74583027, 0x45be3b4e, 0xc889f875, 0xfef54aa0,
+    0x99720035, 0xa82d5fc1, 0xfacd4185, 0xfca0cb96, 0x4dc061e7, 0x6692c85b, 0xc309196c, 0x54d26dc2,
+    0xd4efa7b1, 0xb211068a, 0x4d9b1758, 0x6d973f42, 0xf5a902f5, 0xa0459d86, 0xd50aaf9b, 0xfe896727,
+    0xf3fc42c4, 0x1decb5af, 0x25a0f258, 0xf5ecdc0c, 0x5d318863, 0xb03e7002, 0xe1e60d64, 0x883486c7,
+    0x2c77e4ab, 0x5b2aaa10, 0x455fa01e, 0x74bfd009, 0xa60e4b18, 0xafeb33ea, 0xce766011, 0xcd82621e,
+    0xad22a0e2, 0x2382acf6, 0x48ed2cee, 0x961df61c, 0x45fbb774, 0x6416a705, 0x66330d21, 0xb7803c3b,
+    0xbdc10a65, 0x33c0bf88, 0x14f18f6d, 0xd80de2bb, 0xa31bc121, 0xeee4eac7, 0x39b1afe8, 0x2b821bb3,
+    0x2c5d567b, 0x5283572d, 0x338d2148, 0x42818e53, 0x881ae373, 0x495b29e8, 0xf940ab92, 0x9951f2f4,
+    0xda536453, 0x954d2a9d, 0x29c7508c, 0x59a82ef8, 0xa8748d78, 0x75004310, 0xc224b300, 0xd4368fde,
+    0xd3d841e8, 0x8ff719a7, 0x41693787, 0xc0d2263b, 0x125ded73, 0x19a4930d, 0x97c5e6c5, 0x7906190a,
+    0x0171c99e, 0xe550f753, 0x38b34af8, 0xbfb84499, 0x735c3ae5, 0x19ba4eee, 0x569d6c19, 0xf5bd6301,
+    0x27eb3020, 0x1d873f31, 0x5da31340, 0xf3ef6c9d, 0x25588008, 0xd4c24fbf, 0xcc60ed46, 0x3670d4be,
+    0xa756a610, 0x854e0535, 0xfb92ea40, 0xb131f3d1, 0x624c1e0c, 0x6ae7e84f, 0xc6e0c3c5, 0x3db86cd6,
+    0x396492d1, 0x13bed6e8, 0x25e96d36, 0xdeb7c9fb, 0x0108c2bc, 0x785f44d6, 0x5cd8bac8, 0x9092da62,
+    0xaa15dcc7, 0xb1b5b017, 0x9bae0b18, 0x16843f50, 0x3aea6b3c, 0xfbc732cc, 0xde0a1b60, 0xcf81db2d,
+    0x093d212b, 0xf41c3ded, 0x2802ccda, 0xc60b788e, 0x51b4e3c9, 0x152fd719, 0x93da37f3, 0xe716ffaf,
+    0x96be00c5, 0xed445a0f, 0x87506cd4, 0x64c4a829, 0x418693c4, 0x62602ab6, 0x1c69a26d, 0x91669e2f,
+    0x526e978e, 0x7b78e9da, 0x41689c10, 0x80347610, 0x8d138070, 0x41fc7493, 0x34eb9ce0, 0x133d83e2,
+    0x228b11aa, 0x5caebe11, 0xbe86cad9, 0x249f2826, 0x68ec15dc, 0x15701480, 0x30d1776b, 0x09815f21,
+    0x19c9007d, 0x21e0e0e5, 0xca660573, 0x5fc70d7c, 0x63aa6db6, 0xc7a60f1e, 0x4a2988e2, 0xc1c5d543,
+    0x363342a8, 0x782f4edd, 0xe4a1de43, 0xf791db4d, 0xefede6ea, 0x2867fd2b, 0x6379c0eb, 0x07490113,
+    0xde1f3b7c, 0x775ba675, 0xdeff6093, 0x1476140d, 0xda5a80d7, 0x64410ecd, 0xb546f6b6, 0xcadebddc,
+    0x8f47e73c, 0x5640d4ec, 0x1b94da6d, 0xd90a3a4d, 0x164b2e11, 0xd602e3a5, 0x7db986d7, 0x6eee6844,
+    0x0626b3bd, 0xca0cad96, 0x7b0b2f49, 0xedb584d1, 0x7c17ab61, 0x0787d334, 0x51480d35, 0xff904f7b,
+    0xd0df082f, 0x7bf53ed9, 0x1f2c42b4, 0x5b137daa, 0xf63aacd7, 0x1092829a, 0x04981c12, 0x2d3c0a12,
+    0xb8311cd3, 0x7f3a098d, 0xadad159e, 0x8be3906b, 0x688c1038, 0xcb25fa36, 0x1679a959, 0x7eaa5908,
+    0x4492fc59, 0xf30663de, 0xa6ad4b0c, 0x62e11419, 0xdc21a6e4, 0xdd26160f, 0x793d2d9d, 0xb26d658f,
+    0x979352ea, 0x7128258c, 0x505ecec1, 0x2edf00e5, 0x70c11e83, 0x25b6e138, 0x5997be29, 0x58a04d4a,
+    0xdfa8cef0, 0x420a791f, 0x90ab10d3, 0x21102e76, 0xc5ca26fe, 0x795eb302, 0xf0a37994, 0x96718bec,
+    0x6ad96c6d, 0x0524df3b, 0x6da052c5, 0x04fef59a, 0xc9cf8bcc, 0x7f5baeb5, 0x9acb458e, 0x74ff5d11,
+    0xbdb13e54, 0x109b2ed1, 0x02387e96, 0x42b7e1d3, 0x39c669c0, 0xa7c82e07, 0x675c3c10, 0x26b67e0b,
+    0x29724d29, 0x6b30514e, 0x3c1ee19f, 0xc6f2d871, 0x094b253a, 0xbf8f106e, 0x4839df06, 0x0bebdc39,
+    0x966be3b9, 0x0d27d87a, 0x99457c16, 0xe7cd035d, 0x10c2f1ae, 0x451838b6, 0xb68bf486, 0xa8cf6c19,
+    0xa75adb60, 0x9382e412, 0xba4d37a2, 0x6efd2d56, 0xf6a04747, 0x84ae7fb6, 0x80542247, 0xb63b9db7,
+    0x866c4fe2, 0xff60da0d, 0x19a7561a, 0xd3a9eba1, 0xcb9aac15, 0x577dc1c6, 0x086aad17, 0xf2865dd7,
+    0xab991882, 0xf4f8ebe1, 0x3cecfea3, 0xe167e138, 0xa71e807e, 0xe9c2a754, 0x3375afe2, 0xdd7c3d1d,
+    0xf952e393, 0x971dd549, 0xbea4fee0, 0x4cf82a2d, 0x960cbf7d, 0xcea4e0eb, 0x3b22f850, 0xb727ff33,
+    0x782ad2c9, 0x5164597f, 0x3a2b13d3, 0x9787fdb3, 0xa8bee554, 0x46f40b9b, 0xa93f89bf, 0xee6994c1,
+    0x68383999, 0xd9632266, 0xffde123b, 0x37a0d23e, 0x112408e6, 0x0bf2cc66, 0xd3b523ff, 0x34490979,
+    0x7a22de0c, 0x49e2ba51, 0x88f55d37, 0xb56338e9, 0xcc78d963, 0xcac77f53, 0x05b1b964, 0x609c0797,
+    0x4fab1e2a, 0x27aefdbe, 0xea59830b, 0xf3685678, 0xc7b20df8, 0xd89a1627, 0x1ff22910, 0xf4de8a80,
+    0x597f41c5, 0x0945c9b7, 0xfa67f2fd, 0x5c8399d4, 0x86036a77, 0x642d8feb, 0x48daee5e, 0xbbeb6bd2,
+    0x73f5f18f, 0x9d587355, 0xbd8a1069, 0xaf25c2de, 0x2d774d03, 0xa6785628, 0x16188034, 0x9ba5894a,
+    0x2fb38142, 0xe00e3228, 0x47aa6f64, 0x6b0f057c, 0xc7df6480, 0xbe4211b9, 0x5033fc93, 0xa05d367c,
+    0x247755db, 0xf691c968, 0x1bb81d19, 0xed94a300, 0x1ae7fe74, 0x064898bf, 0x1fd135a7, 0x54340cd8,
+    0x2642d891, 0x7602b4c2, 0x3aaa7455, 0xbdc99541, 0x89c4e69a, 0xfc6d7d1e, 0xe6918bd0, 0xa409e912,
+    0x58615ab7, 0x6623f1a6, 0x2498451f, 0x64e65162, 0x29182443, 0xf107e193, 0x4b133be4, 0xaf986d6f,
+    0xda541349, 0x6e493d8e, 0xf9d9c302, 0xf08ef894, 0xc9731ae4, 0x60007927, 0xa5b4a80a, 0xb3c96e02,
+    0x4ceaa87e, 0xa1ad5dab, 0x20b69189, 0x85f0c4d0, 0x8b02f7c5, 0xc4f51b89, 0x9d8eedd4, 0x19d5bffc,
+    0x48c09450, 0xfa0353e0, 0x98262712, 0xa621ddb9, 0x8c5bf38b, 0xe34570b8, 0xdebdae0e, 0x16d904e6,
+    0x02fa1b25, 0x7273b24b, 0x8ce82d6c, 0xa4bee54a, 0x41f144c0, 0xd56f8caa, 0x758a06db, 0x1734698f,
+    0xc7b635db, 0xd5afd3ba, 0x679a363d, 0xdd79edbf, 0x22517c4c, 0x09d35476, 0x712c0eb7, 0xa99aceb7,
+    0xcef40045, 0x8ccddb5d, 0xefae73eb, 0x3eddc983, 0x7f0011b3, 0x10fd5fa1, 0x9e43d2c5, 0x908071af,
+    0x03c0d6cc, 0x129473fb, 0x5d0fc802, 0xbd7f5905, 0xa6777f58, 0x828432a2, 0x3b7377ba, 0x1debf954,
+    0x6818ef91, 0x102a76f5, 0x280acf7c, 0xaf40680f, 0x31a46754, 0xf84ebee9, 0x7cd30f53, 0xf38bd842,
+    0xd8d444c7, 0xf40a1754, 0x1db48621, 0x26bf35c9, 0xb5a1bb21, 0x1b94af65, 0x9a4100da, 0x4988a323,
+    0x00000000 }, /* 10**00000000000000000000000000000000000003152160495711558336982323208011489104406\
+                         37914163723573343586347233965774171977684891314130039079325126453023922454528 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd,
+    0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808, 0x2e7859d0, 0x6650fde9, 0xdd51f3a3, 0xe24beab6, 0x3ad0bd60,
+    0x00000000,
+    0x999d34b0, 0x805dd8b9, 0x2f74b24c, 0x30a6ece2, 0x82d24d0d, 0x896549ba, 0x83bd3afb, 0xa973f2ea,
+    0xf1864303, 0x0042c230, 0x4185489c, 0xafe3abb0, 0x1ea162e0, 0x92e5bcd9, 0x9e303ffb, 0xd6908580,
+    0x47efd3bd, 0x014c4d16, 0xd6a262d7, 0xd8833a81, 0x5cbfa5c4, 0xb40a143e, 0xaa619ed0, 0x08cef625,
+    0xe9000002, 0xa28bf9f5, 0x1ad74686, 0xf1dedac2, 0x4e9f2df1, 0xdfdab82c, 0x3b09fa75, 0x9772fc5f,
+    0x0b396612, 0x443f64be, 0x1b8e9663, 0x76b5524f, 0x0c7a8071, 0x9b6e3bc6, 0x1495cecd, 0xfd58eb82,
+    0x19eae622, 0xe6c7b47e, 0xc6b1437e, 0xf737046b, 0x341d9458, 0xbbdd9019, 0x450d94ff, 0x23d2724f,
+    0xa55ff8ab, 0x24881895, 0x9994a966, 0x4cb06cb1, 0xaef8ef63, 0xf14d01aa, 0x40e1bee5, 0xce59a7c9,
+    0x188f71a0, 0x8c4e7bcd, 0x34f26c21, 0x6080c785, 0xddd20a04, 0xcc009e44, 0x81715083, 0xccc16c5a,
+    0xe3b84775, 0xa35abe23, 0xba71137b, 0x129c9fbc, 0x30a8a254, 0xd278b4dc, 0x9dd2bfaa, 0x9000936b,
+    0xc0319690, 0x04e57a6a, 0xd0847473, 0xc2efd76b, 0x8d950b13, 0xd50ed5ee, 0x39692f04, 0x141eece9,
+    0xa2aa1907, 0x895d48d7, 0x4644c864, 0x97da41bc, 0x1c1c8b5e, 0xe5fa9c9e, 0xa47b95a5, 0xa9014854,
+    0x3c9e4104, 0x4fbb59a0, 0xcaaeef16, 0x0141eee9, 0x9cd65e1f, 0x727dca9b, 0x1924ef56, 0xe184864b,
+    0xb63cc6d5, 0x9ed52cb3, 0x85b8d269, 0x206fdcc6, 0x5cafbd8c, 0x6ed04aaf, 0x7e6c07b5, 0x722e1978,
+    0x98346ed4, 0x0c26e206, 0x41cc3174, 0x243b7068, 0x8068831c, 0x5e971e05, 0x417f6293, 0x7fab61f8,
+    0x0851568e, 0x74aa67b8, 0x511cc6b6, 0x5bbadfa9, 0x2c86b91f, 0x8e7250ef, 0x2ba2ac01, 0x04a37193,
+    0x34aa6ece, 0x5573b8a0, 0x51ac1155, 0xb2a6dbe4, 0x3662a90e, 0x08c4412a, 0x443b557b, 0x963098b6,
+    0x68ce1f69, 0x6fbab686, 0xb9c6b3c4, 0xd68882f3, 0xcb0a89f6, 0x1aa7a461, 0x7a6eafd0, 0x57ea833a,
+    0x0f1a7e98, 0x1e2bf430, 0xdc7c1867, 0x7220e945, 0x5cb2db2a, 0xf501df9f, 0xc924db84, 0xd77983e5,
+    0x03342f9d, 0x2e66d7cc, 0x31b2e25f, 0x6911d45f, 0xa06f3500, 0xa737183a, 0x76761584, 0x562dc4b7,
+    0x1e9f4892, 0x2abd3dba, 0x59b83ddd, 0x3a466a93, 0x3117ddd2, 0xa2f140ec, 0xdb8f86b2, 0x14826ccf,
+    0x42ec4b4f, 0xef585957, 0xbc44eb78, 0x57fe2db8, 0x9fa3b51f, 0x0063e0d1, 0x449e06c6, 0x44e760f4,
+    0x3666d324, 0xf50d32cc, 0x8e7416de, 0x4c6b2330, 0x422520a8, 0x13757c6d, 0x67426fc1, 0xa078fc19,
+    0x904a8872, 0xca7348d0, 0xc6e95802, 0x534fc3ac, 0x9bc49450, 0xc6f2f0e2, 0xc7222416, 0x59a9fa82,
+    0x15df51e7, 0x900dac1b, 0x4f2efd43, 0x0a13fc75, 0x23c74bef, 0x1e8a4352, 0x4b101fe4, 0x7a48a114,
+    0x753b6fbd, 0x10ea445e, 0xafa583ea, 0x0923c488, 0x0245d6bc, 0x3a886947, 0xc8a1ee80, 0x17402b70,
+    0x28611799, 0x4f5e6d9b, 0x1437c989, 0x373a4d4f, 0x11ee72c9, 0x6c1f889f, 0x25cb444a, 0xa6177a3b,
+    0x90f513dd, 0xdb86a9a9, 0xd9fb1a6b, 0x49a8a1db, 0x4553afbc, 0x4f56c734, 0x63541811, 0x5f6053aa,
+    0x6c2019c0, 0xa851d3e2, 0x17372512, 0x2c29f039, 0xc5698557, 0x650f9dc1, 0x47d2a4ec, 0x7a645bbc,
+    0xf0105650, 0xf683fd11, 0xe47907d3, 0x88f53046, 0xdf65f5fd, 0x6f0e82d0, 0xf000ee03, 0x4c542a98,
+    0x3025aff8, 0x31228e20, 0x1a9ea01e, 0xfb62d332, 0x6bc975f1, 0xb0e5a7c1, 0x8c3061d4, 0x5876e549,
+    0x244389af, 0x9071547b, 0xe8e66e2f, 0x181c8739, 0xc4ca30f3, 0xe445f04a, 0x48266c5b, 0xd9c881e3,
+    0x7047a524, 0xd1545bf0, 0xc62276d6, 0x4a2fc326, 0x29b0f444, 0x9282d580, 0xc5157cc9, 0x4221378b,
+    0xc6878cda, 0x05d8b2b5, 0x869396ff, 0xf23282e0, 0x4929f6fd, 0x0168f5be, 0xdff01e09, 0x52f3fe94,
+    0x8ec33713, 0x789d53c6, 0xdfc687f1, 0x6c90c6c8, 0xb1c165ff, 0xa75ebd0e, 0x16d64c53, 0x62b6bbcf,
+    0xc2739825, 0xb556a9ad, 0xe067b5ca, 0x00fe2dab, 0x6886bb55, 0xdaa1f692, 0x76d4fe81, 0x7af8d0a3,
+    0x9223ce42, 0xba63b4ab, 0xad1ebdd8, 0xcec1ebe4, 0xebdf2907, 0x7e50d9bd, 0xa387b23d, 0xd4c93fec,
+    0xa1df27a7, 0x044ee61b, 0xbfbde9e1, 0x936de924, 0xa3c49f7b, 0x862aec37, 0x9ee21a29, 0xcd21eba5,
+    0x0cd504cb, 0x385cc032, 0x07c25f26, 0x3f79a8e5, 0x021b0062, 0x6c404fbe, 0xb99846ec, 0x9485bb3f,
+    0x3fc47418, 0xe4716130, 0xd9c1e8fe, 0xa36a6745, 0x66db179e, 0x1b2e9497, 0x54a4e93e, 0x8f479775,
+    0x228302aa, 0x5a96c70a, 0xfbf39531, 0xa10bb55c, 0x070d9b2f, 0x35adabac, 0x426705f3, 0xf1728b06,
+    0x74df8b88, 0x62c4f444, 0xa30f32ea, 0x4c3f7863, 0x471f6f1c, 0xcd244126, 0x37faa59b, 0xb42a6028,
+    0x1059ae5a, 0xccf3d606, 0x76b000ba, 0x3c9d1b54, 0xd2368eca, 0x7930c7c2, 0xa2733a6f, 0xd3e0a375,
+    0xedbc8594, 0x1a012972, 0xf46d3fe1, 0xb8c07d21, 0x5ee585a9, 0x59e007b0, 0x60e8b7b1, 0x96924869,
+    0x4c42edcf, 0xdf3dd2ca, 0x80e85d17, 0x8017374d, 0xa5e1107c, 0xb385129e, 0x4f579d81, 0x7daa13a9,
+    0x93c6e6ee, 0xb1e4ac00, 0xf0a477ad, 0x20e1af26, 0x1fb11fdd, 0x1947aa12, 0x1b3bd930, 0xe88c9ece,
+    0xcb575766, 0xa9dd8890, 0xb4a639af, 0x4d49a8be, 0x06697856, 0xe8fae473, 0xfdbba9bb, 0x99b191aa,
+    0x9c4574ab, 0x07b9f61c, 0x44706438, 0xec7bc1a7, 0xc10be466, 0x923649fa, 0xfac49da4, 0x0250533d,
+    0x89f91d6f, 0xb4617fcc, 0x644b8b31, 0x2a26da23, 0xb9246350, 0x27fcac60, 0x6b5f01a5, 0x89e30020,
+    0xc5bb9fa5, 0x05cadbc8, 0xb8e13ebb, 0x6c51c468, 0x11185739, 0x4363f82f, 0x563bfd59, 0xb8c9fe31,
+    0xc9c3faad, 0xcbb55051, 0x90d483f2, 0x1498a1dd, 0x2b3afaaa, 0x06cc7766, 0x9ab151d7, 0x1121ff49,
+    0xde4b9869, 0xd90ac09e, 0x10a87dcb, 0x6f4036df, 0xa3f8b338, 0x16d9a4a6, 0xb1fa5d37, 0x2c0408a9,
+    0x3e9581bb, 0xfbac12ac, 0xc99c9816, 0x25268632, 0xa1d96d86, 0xf7e0f5aa, 0x4d79dc39, 0xc3b7f87c,
+    0x6555ca03, 0xb6ebadeb, 0x0b208a25, 0x11508923, 0x761ed710, 0xf691e63a, 0x357a0b44, 0xa0b82242,
+    0xed150c9c, 0x3a240683, 0xfad7817a, 0xeabf32b0, 0xe63d17cc, 0xb66a7bbc, 0x33f2ca89, 0xa7fadbe7,
+    0x4c055deb, 0xb19be01c, 0x6d62a17b, 0x5b26651d, 0x8e62aed7, 0xb6a45a57, 0x1a954429, 0xfd68b8c8,
+    0x99a55250, 0x96c20038, 0x9f8f4e52, 0x4b033124, 0x82e07388, 0x0d5660a3, 0xde3b6df1, 0x83568663,
+    0x9d119821, 0x0e94d0e8, 0x9824ae01, 0x15e1e499, 0xa9d3beab, 0x9477d22d, 0x75f29596, 0x0d902302,
+    0xd9945b23, 0xa75c2c3d, 0xc07ee74b, 0x9c574638, 0x4788e21e, 0x71a7cc58, 0x86cf466e, 0x40299d50,
+    0x17089985, 0x71442ce9, 0x2bd4112e, 0x7acae3c4, 0xda5a6702, 0xfb51552c, 0xaf27313f, 0xe26451d4,
+    0x88026db7, 0x0c30b0f9, 0x4ef123fb, 0x6c1e8c39, 0xe03b6dff, 0xc3c8c9fa, 0x5094feff, 0xa9317fbe,
+    0xdb1e92ac, 0x9365cad0, 0x470d8dd9, 0xcb0c7850, 0xf27d8283, 0x77f0152f, 0xbcc92839, 0x516220ad,
+    0x15ae2473, 0xa4484dd4, 0x360f2939, 0x4f25b580, 0xd8ba9077, 0x35ee235f, 0xd97bdf52, 0x3cd63661,
+    0x3caae399, 0x5bad1433, 0x31edcba6, 0x4b8123aa, 0x0bc811d6, 0x5857345d, 0x7557f4ec, 0xc2edf3c4,
+    0x587ceb7b, 0x1fb35230, 0x5c155b91, 0x5c0d3f1a, 0x498db5d4, 0x07596a84, 0x9653ba51, 0x7f0d844c,
+    0x99c2aa29, 0x7393aade, 0x70bb7aac, 0x0e4f1aca, 0x7dd33376, 0xad080263, 0x2332bf77, 0x6a5cdd43,
+    0x9272e38b, 0xd7485871, 0x383e187e, 0x95057413, 0x61073ffb, 0x67f42664, 0x80504859, 0x2c7894d5,
+    0x6b45c3c9, 0x6ced5bc9, 0xf7d99d81, 0x7f9ec545, 0x73e07535, 0x93ec30ee, 0x9e78b8bb, 0x434d8c7a,
+    0xeb8e8026, 0x00454144, 0xaccb5c15, 0x32d515f6, 0x09c94316, 0x7feeadee, 0x3b551c4e, 0x620c81ad,
+    0xe3c5481f, 0x318baaa8, 0x8606f550, 0x6e2b2d6e, 0x99b36a49, 0x23824402, 0x523aab08, 0xdbb9747d,
+    0x18c7a7e8, 0xccd45e23, 0x019db6af, 0x1797d050, 0xed09c928, 0xd3c9c57c, 0x95dd7d1a, 0xa9ca2af2,
+    0xf3461343, 0xd92188ae, 0x6f65797b, 0x572abcbd, 0xf1cafe36, 0xe27141e2, 0x909bfb5f, 0xc8103f9d,
+    0x035bd590, 0x9a5aa7b4, 0x702bca86, 0x8846c1ee, 0x01129686, 0xef3aed89, 0x7712e672, 0xc57687d5,
+    0x75c86e0b, 0xa9aaf1f9, 0x135401fc, 0x7be9b9b0, 0xaed983a1, 0x54a7687a, 0xa106d544, 0x7d8d7666,
+    0x9cd2fd65, 0x1c7b033a, 0x0ce5f1d1, 0x9bc63766, 0x4076cf8b, 0xde0bd67c, 0xfb06e17b, 0x587e8053,
+    0x34713afd, 0xb11aee75, 0x65d348bc, 0xbf466f43, 0x06116a46, 0x6b8751e6, 0xf1f1e794, 0x73460048,
+    0x4ebbdd2a, 0xf7cfa9a1, 0x9626404b, 0x08825fbf, 0x4aa6536c, 0xe5c61663, 0x1dd0655b, 0x944587ed,
+    0xe0f90f4d, 0x58275f28, 0xa9e05ccf, 0x980c567c, 0x61bdea90, 0x16e9e6f6, 0x08ecdc62, 0xbe459bc0,
+    0x359e3a04, 0x45505351, 0xee6340d2, 0xbc822b36, 0xf7ed0142, 0x296d306b, 0x165f51d1, 0xe9b26186,
+    0x8c3dead1, 0x8a475071, 0x5d623cfd, 0x1ad8ea74, 0x740b1c48, 0xbe1e8b15, 0x88feb33a, 0x135d0e1e,
+    0xd3279001, 0xade25299, 0x4b0d052e, 0xd3255204, 0x04f41f67, 0x5fa2876c, 0x41cf2086, 0xa5c650e0,
+    0xfe4d1987, 0x33e54541, 0x9f3d815b, 0x1acde8f7, 0x2787155b, 0x9e320206, 0x040719a1, 0x675f8bb7,
+    0xc9eb8bf1, 0x20753222, 0xcd80c01b, 0x36731e08, 0x2ae80a31, 0x69985432, 0x845e05c3, 0x35ed2707,
+    0x16b5f398, 0xa120b366, 0xc401d9ea, 0x3872e765, 0x48bc2e61, 0x973f9ebb, 0x6ccd30b2, 0x9a36c9c6,
+    0xb2973607, 0x54acb2b7, 0xeaba94f4, 0xa8fa6f23, 0xaaa80e4a, 0x0b406c53, 0xa62f3ae1, 0xa4e31d09,
+    0xa9248ea7, 0xac036908, 0xc57021ff, 0x5e4fc8a3, 0x977e7b75, 0x87324225, 0xdbe9b3a9, 0x103aa9a7,
+    0xbd8cb863, 0x5bd064a6, 0xc8e58f7f, 0xd2a2b387, 0x8ce65233, 0x092fb97a, 0xe331b33f, 0xe4f05981,
+    0x1692f629, 0x7a439d2c, 0x14d68f25, 0x095023f9, 0xcc264596, 0xc0d48950, 0xf80e826f, 0xca70ca28,
+    0xcf5658cd, 0x995f0fe6, 0x3a5618c7, 0x7356f40f, 0x2c303e0d, 0x861036a0, 0xd1e94068, 0xbbe983b9,
+    0xb7bebb5b, 0x9a5ef99c, 0xb6b2cbbf, 0xe834d458, 0x53ef1664, 0x0fe97bc0, 0xa00e6dcd, 0x852147e8,
+    0xb7da2677, 0x7dcd2683, 0xffcef4ea, 0x7cecc0a1, 0xfa32e189, 0xf9bad458, 0x09251a6d, 0x4e01d6d5,
+    0x08965a45, 0x4dfcb069, 0x6de21fab, 0x500d0ca1, 0xf1dfafa7, 0x3a9f2fb2, 0x367fb9a2, 0x09077ffe,
+    0xaa6939d4, 0x1b02d20a, 0xd603110c, 0x557a8f6d, 0xc0ec008e, 0x0c276402, 0x7b82bb73, 0xf5c03b39,
+    0x5d10748b, 0xf35483d0, 0x5137437b, 0x389d6577, 0x436b5adc, 0xc23ab889, 0xed723237, 0x92f58ba8,
+    0x32465fea, 0x22cd7aaa, 0xf55d849e, 0x3b085cf9, 0x822cb0c2, 0xc67d46dc, 0xf9753f01, 0x81009ba2,
+    0x851cd1f5, 0xf626da0f, 0xe54089df, 0x078290e1, 0x7494ed08, 0xc4126da7, 0xa2e0ddba, 0x684018ed,
+    0xc064ed62, 0xc1d511ec, 0x0e183126, 0x226db226, 0xf87cd9e3, 0x0a5591e9, 0xc97973d0, 0x6e6bccae,
+    0x59c30000, 0x6bf791d9, 0x32162422, 0x73585fc8, 0xf0cb8546, 0xd52bc3ad, 0x41bfb876, 0x0a5b5641,
+    0x8c7b9fe3, 0xe61642ca, 0xdaa92c9a, 0xd7a9f80d, 0x787aaab5, 0xabc36d68, 0xb8a0b49b, 0x842afcfd,
+    0x475bf9b2, 0xb60a20e9, 0x3fce089b, 0x5b6e4856, 0x9f185a26, 0x18088778, 0x2927a325, 0x8b971f3e,
+    0x5832641d, 0x3c2f4a63, 0xf06d61da, 0x1ec7485b, 0x8beccada, 0xcecf6001, 0x0153689b, 0x20df854a,
+    0x81aae753, 0xa7d54b26, 0x7bf49af5, 0x96ba2a07, 0xf4b2a5de, 0xfbc3f61c, 0xe4340505, 0x2a3429fd,
+    0xcb1ce606, 0x518e7060, 0x9ab20de5, 0x068c6b10, 0xddba1fda, 0x859d2e4c, 0x66d724e0, 0x5c7e31aa,
+    0x2d4bfdb5, 0xf0ba1d0c, 0x7bd309dd, 0x6d3e1ed3, 0xbfabe520, 0xdcde504d, 0xc0c0d901, 0x1f194725,
+    0x13980721, 0xc6a3741b, 0x2185b8d5, 0x16abe1ea, 0x3c1f3d46, 0xf7df0cfd, 0x9209decf, 0xa53fab62,
+    0x333324ae, 0x03a9d50e, 0xe741dde2, 0xffeb3dc6, 0xaa7ab815, 0x77844252, 0x1c3c7492, 0x5d786fe4,
+    0x33e1a307, 0x4979d8b7, 0xc7fa01d6, 0xc3d10f50, 0x606b2766, 0xe69e9135, 0x157db0d6, 0xfddb998f,
+    0x216f2c1f, 0xe7b80094, 0x08e59c84, 0xc83c2bc5, 0x3bce2ddf, 0xbb811c7a, 0x7697d3d8, 0x7d3e59c9,
+    0x233951e6, 0x524b528e, 0x54d80fa5, 0xb62ca2bb, 0x19b4c91b, 0xd2450a8b, 0xac6b0b5d, 0x64bd66c7,
+    0x3b9ac34b, 0x4be9c704, 0x19592b19, 0x11c81bbf, 0xe383ba14, 0xc3dad952, 0x027705bf, 0x03c4b6bc,
+    0x4417177c, 0x979616f2, 0xa822fc43, 0x2dd34db7, 0xdfb0dae1, 0xa5408651, 0x2cea0030, 0x06488568,
+    0xef4ae327, 0x12533f82, 0xa7c7ba02, 0xc703f2b9, 0xfed8c67c, 0xa170df7d, 0x559fd0b1, 0x5cf9c3c2,
+    0x06a1a74b, 0x836c4916, 0x457fdfcc, 0xde88348f, 0xc3fdd5fb, 0x1b8a390a, 0x44b52227, 0xe4caed6a,
+    0x59415ec3, 0x31351287, 0x6a3c22b0, 0x219ac02c, 0xa57e0f7c, 0x7644a37f, 0x7db7a2ff, 0xb6db8bd8,
+    0xdd80ee5b, 0x7aee4c4a, 0xf7fbb1ab, 0x49799e0b, 0xd3d6cea4, 0x40cacf6a, 0x4148ceb4, 0x9fefa85d,
+    0xe6b17be3, 0x25dbf54c, 0x91dae466, 0xf539b5be, 0xa183fbae, 0xa9483522, 0x075f4b3a, 0x3e7e5ac9,
+    0x8c3cf9b3, 0xad0e0f5e, 0xa707a65d, 0x63bdab4b, 0x5deda34b, 0x837d78f1, 0x40216529, 0xdb653a9d,
+    0x9c7b8614, 0x87879b5a, 0x78270cc3, 0x526148cb, 0x10a166b4, 0x35606017, 0x6f996bfa, 0x63dd0d8b,
+    0x91a15452, 0xc4a56f78, 0x172a0479, 0x9bbc37cb, 0x4d631ed1, 0x1a418e57, 0xdfbd0c6c, 0x0b1af3f6,
+    0x5d412807, 0xc4e389e9, 0x9eeb3937, 0x3a47c0f4, 0x0740b5f1, 0x6806ad0b, 0x6f6d0ed9, 0x7b737df4,
+    0x35748246, 0x24ddb952, 0x031c6344, 0xeecd0135, 0xb4cc2e96, 0x07168d16, 0x339b7b2e, 0xd403ab4d,
+    0xb604b2fa, 0x823fd744, 0x79d99d54, 0xb4b6a267, 0xc4a4bc18, 0x83b99c5c, 0xd1fe2c08, 0xf0d61b8f,
+    0xd95628d0, 0x70956865, 0x7203cbee, 0x01bb9597, 0xc0ba155e, 0x0bab819c, 0xe8d87857, 0x89aaa9ea,
+    0x5bf692ba, 0xfe4a337f, 0x8c00912f, 0xbb497752, 0xeb338c29, 0xbd6ab22a, 0xd62db6e2, 0xf26861e4,
+    0x616a3caf, 0xc2149ac6, 0xd9c88940, 0x1f97dbef, 0x318f1973, 0x2d7cc7f6, 0x29b9e67d, 0xbf176fec,
+    0xe5f0678a, 0x29d6468c, 0x59aeaff5, 0x89a57621, 0x6e7f51d3, 0x49a59bd5, 0x458ffd51, 0x9214b77b,
+    0x1e9a2847, 0x89bbf243, 0x0e515b2e, 0x738db108, 0xd1c6686a, 0x4b9a139b, 0x9da78d97, 0xaddf2a74,
+    0x00000000 }, /* 10**00000000000000000000000000000000000001576080247855779168491161604005744552203\
+                         18957081861786671793173616982887085988842445657065019539662563226511961227264 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66,
+    0xcb62aff1, 0xbd9d6a74, 0x8db56404, 0x173c2ce8, 0x33287ef4, 0xeea8f9d1, 0xf125f55b, 0x1d685eaf,
+    0x00000000,
+    0xc64e4b78, 0x84510d9e, 0x6f8c9030, 0x1560aa3e, 0xc525d235, 0x0d39d443, 0x95aef93f, 0x4712e60e,
+    0x435ae8ff, 0x1adc16d3, 0x0d50672a, 0x10b38384, 0x2b4e0a54, 0xa311b931, 0xad1f4a40, 0x9f11e6f4,
+    0x6de8cfac, 0xd6af1283, 0x589642a4, 0xcc38b869, 0x1341a8f7, 0xbd923437, 0x50ed454c, 0x0f150a8d,
+    0x7781a452, 0xcfb413d1, 0x3a44e8b7, 0x185762cb, 0x9bb3f271, 0x510909e1, 0x8a05f6cc, 0xf61ade48,
+    0xfae7a078, 0xa04fbd56, 0x0edd9099, 0xad5e0d51, 0x9834a14e, 0x0bd82491, 0xcf149d49, 0xe5539dd7,
+    0x9ecda0bc, 0x1b56237d, 0x3e647baf, 0x60b7ce9f, 0x64d11523, 0xd0750994, 0xf014b9d9, 0x2b885fc6,
+    0xe7d77101, 0x34a92186, 0x94fba695, 0x4465fa18, 0x64f7aa0f, 0x3053866a, 0x35c0c3fd, 0xf2a61ae8,
+    0x913a9050, 0xd159d841, 0x79f7633f, 0xb2ef7c1b, 0x68f25f08, 0x896810df, 0x42fa1b10, 0x58389427,
+    0xda5aa076, 0x393b4496, 0x7415fac4, 0x4e3bdbf2, 0xceaecff1, 0x6f867132, 0xc9ca405b, 0x02176bfd,
+    0xa670b8fd, 0x4a70a063, 0x77101799, 0x1e09b20e, 0xa3b014de, 0x6c1875fd, 0x43e113f4, 0x82f0476a,
+    0xbaa7ce95, 0x5c75eab9, 0x09f08689, 0xb0c368d8, 0x75bcc6fe, 0x6a4cd9aa, 0xe486141d, 0x9b6d6244,
+    0x303337d6, 0xcfd23440, 0x57e6a169, 0x3458fbe6, 0x90b08d9d, 0x01c068b1, 0x182bdbbd, 0xc9702dc3,
+    0x776123fc, 0xb4ce5ad0, 0xefb390f8, 0x409d9e1f, 0x66bb2253, 0x93b0ee24, 0xb0d511ab, 0x5c8ea87e,
+    0x57fa91d4, 0x68c6786c, 0x1733d6c5, 0x3d862b9c, 0x80d7ea31, 0xa80c708b, 0x8cae8ad6, 0x657f5725,
+    0x6b9b88e7, 0xde919338, 0xff030039, 0x6e87fad1, 0x0d41b47c, 0x31f8c66e, 0x881599b1, 0x8187b3e4,
+    0x1cd9cc44, 0x7adbaa16, 0x789baed5, 0xb5c804f5, 0x66ef175a, 0xa63c6608, 0x4fff5f7d, 0x86edff25,
+    0x98c4e625, 0xcad5ca87, 0x35fde87f, 0xe674a74a, 0x52b4459c, 0x63f8836a, 0x4b539d9c, 0x338821bd,
+    0x6e5eef65, 0x464dbd63, 0x302c104b, 0x66cf01be, 0xd8f7f8de, 0x88eeaa53, 0xc55fb1bf, 0xb277c64c,
+    0xed38e735, 0x1fb0bb71, 0xea2d51d3, 0xc5714d43, 0x32ad8d7d, 0x495eb0c6, 0x5c301265, 0x3f8e4693,
+    0xb1a71f66, 0x6661d7b6, 0x9db81906, 0x87f2f3fa, 0x3ca9f606, 0xd710369b, 0xed30d847, 0x0b4c3fe5,
+    0x0093d216, 0x6662e11c, 0xeb71c604, 0xf60c2492, 0x005b13b9, 0x6941a9a3, 0x779446e7, 0xe936fded,
+    0x35f551e0, 0xa93cedf5, 0xd1a8caf7, 0x60096012, 0x00d45b85, 0xc8d6d63c, 0xa6c1620a, 0x51e2f315,
+    0x9d95cf8e, 0x48b9502e, 0xcfd61fc6, 0x3abf9a73, 0x46005979, 0x61eb0ca6, 0x1012ff2e, 0x81ac915f,
+    0xee68fdf9, 0x5482d1a0, 0xa688fb59, 0xcf94c1d7, 0x8f414c49, 0x0b5d9957, 0xd760762b, 0x1c2446e2,
+    0x22aacea7, 0x7090df19, 0x299a723f, 0xd11536c6, 0x4a8bfa94, 0x4f948c2c, 0x8d2fa8a7, 0xbb28cd29,
+    0xa803fb67, 0xef1eae7f, 0x9a15a961, 0x1caad284, 0x2ed80a21, 0x4f1af3a9, 0xa7a49e0c, 0x81216fe8,
+    0xfdee41cc, 0xfaad9267, 0x04b0af86, 0x1bc53c9b, 0x246e5539, 0xdd24be57, 0x9517c8ea, 0x3051342d,
+    0x8b52be58, 0x8c824334, 0x5cb1698d, 0x21ea89e5, 0x1286fb55, 0xd7b69617, 0x81bcf43e, 0x5eefc488,
+    0x4906ad58, 0x60ff5b62, 0xe1236799, 0xed76a65b, 0x5015bb4a, 0x1205a008, 0x9d8c4ecb, 0x17889092,
+    0xd0f9601d, 0xa4190abb, 0x65463d88, 0x5c6d3fca, 0xb8959410, 0x0e9abbe3, 0xf9d1c1d9, 0x27ea52ef,
+    0x91eb8850, 0x25659f04, 0xe516114a, 0x454a4cb6, 0xb361a64b, 0x67e0cde3, 0x10020407, 0xc2ca53f8,
+    0x28591fc6, 0x092221e5, 0x01e3d198, 0x7a40b780, 0xfc4e6bed, 0x1f6c103a, 0xb3c4f6f5, 0x99506e0c,
+    0x4403c7ad, 0x07e878c7, 0xd983e1e1, 0x64dbf1c7, 0x8bdb27fc, 0x76d23c70, 0x51d87aa7, 0xbcb04d5e,
+    0x9b797eb3, 0x1966f0a3, 0x49e889f4, 0x1c709af2, 0x10d14c8c, 0xa895997b, 0x9b2865ca, 0xdd324ebc,
+    0x5c5d888b, 0x5d061b2e, 0xe175887b, 0x5f986158, 0xcfaa1f7e, 0xc59a611a, 0x0c353750, 0xfbc7462b,
+    0xd0cdc1bb, 0x5b2c4091, 0xdb71dde2, 0x8b578add, 0x81f556d6, 0xa2e4a140, 0x8b49d62c, 0xf9c30e37,
+    0x4f6ccf6f, 0xb98d3415, 0xfcd3b74b, 0x5351b486, 0xd28b8a01, 0xaf1a51c4, 0x08ce2359, 0x8a05aa1e,
+    0xae1a98e3, 0x8f83770b, 0xdfce0fa2, 0xdb513526, 0xb0adf732, 0xc9096673, 0xa05cf680, 0xda6da680,
+    0x745b61eb, 0xcd852168, 0x43a42033, 0xb4fe77dc, 0xfb5195a4, 0x578fca32, 0xa8b951fc, 0xd01d95fa,
+    0x0bafcfd6, 0x8f3e8ed8, 0x775328da, 0xcc2cfaaa, 0x765772fc, 0x237cbb6e, 0x6c0c84cd, 0x14678ae0,
+    0xe42760db, 0x8c488c85, 0x4e67806c, 0x0de02abc, 0x5ef48253, 0x83ccf1fa, 0x2e8ec6c6, 0xa740d558,
+    0xb2b3f726, 0xfa14be9d, 0x898daa19, 0xc99cad05, 0x05ba5f65, 0x761e477c, 0x609d2791, 0xe606c130,
+    0x4a4d9013, 0x0b35c15f, 0xeeaf408c, 0xc9b91f21, 0x714fda1c, 0xd40e44fe, 0xb4b1c19b, 0x9606527c,
+    0x77e52344, 0x7e694006, 0x4423be85, 0x6606c51e, 0xa6e7a532, 0x79a2a95c, 0xe669e748, 0x11a03f5d,
+    0x43d28563, 0x91420fa8, 0xdaa51c26, 0x473c7494, 0x0e6286f4, 0xe8a0d022, 0x9832a076, 0xab97becf,
+    0x8ab9aecd, 0xa50eae4a, 0xc7f9a5a6, 0xc534990e, 0x221fb0d6, 0xc1caa9ef, 0x8640aa8d, 0xb4248118,
+    0x0dc8c092, 0x4fbfb288, 0xe394d888, 0xa1e3ccf9, 0x97bfb8b0, 0xa5c55ef2, 0xdb334bb9, 0x43193e94,
+    0xd3db59ab, 0xfec056f7, 0x0d9be442, 0x12574309, 0x8e3b417b, 0x707b2eb3, 0x9bd79d1a, 0xdaee2262,
+    0x7611e302, 0x2a64c4df, 0xe3d58c98, 0x727a446d, 0xd0941ffc, 0xfac8b252, 0x8d9d9b2e, 0x37d36a57,
+    0x2b4d36cd, 0x3785e012, 0xd48ea632, 0x911f6552, 0x782957f1, 0xb45e1683, 0xb95bc2d6, 0xcc87a229,
+    0x06d67e2e, 0x640375ac, 0xd6bdd245, 0xc33b7bbe, 0x20db0008, 0x633cde1c, 0x1ce5197f, 0x96bf3dde,
+    0x535967c8, 0x914c3d4c, 0xaf464126, 0x535c8d8d, 0x727114d4, 0x7a844772, 0xe14f213f, 0x0c243d60,
+    0x6ca9cdc4, 0x1e1b0769, 0x7eed6d12, 0xd49bc4b5, 0x06448c3b, 0x56ab04fb, 0xd641493c, 0x3644df4e,
+    0x683f9931, 0x1b6b1bcf, 0x0ab564d3, 0xeae5940e, 0x169176cf, 0x6b994e1d, 0xd9b79208, 0x353c0246,
+    0x1b6c419d, 0x03c75b5a, 0x7553828f, 0x9ef4d48e, 0x063cca7d, 0xc13c42f6, 0x3058db38, 0xa7d3481c,
+    0x85aaf1af, 0x53e4699e, 0x800d3d73, 0x1e51cbd8, 0xbd9c4d73, 0x42b5303f, 0x63c1af8c, 0x332ac480,
+    0xb498c802, 0x753f3133, 0x10bcb444, 0xfae43144, 0x2dcb834e, 0xb8c634aa, 0x169100ca, 0xb4d89201,
+    0x37763008, 0xcda22c15, 0x48866aa2, 0x69b8d5c4, 0xa522bf58, 0xa9ee21c1, 0x1e6bb309, 0xdfd65771,
+    0xe99d12fd, 0x397e08d0, 0x2db45a56, 0xe493a408, 0x497e829c, 0x21a65085, 0x799fae94, 0xa0898685,
+    0x00f0ae27, 0x2d366b0d, 0xc10b6f1e, 0x4ad68826, 0x1e5e43f4, 0x05c1f334, 0x3c149376, 0xd20a378e,
+    0x0b7369f0, 0x50f93fed, 0xc48ca98b, 0xd2fdca8a, 0x6ab85569, 0x7b188e1d, 0xcfe9422a, 0xc9d02f29,
+    0x7f22ef9c, 0xa968d805, 0x880d561d, 0xb62cfc2c, 0x614759e4, 0xcd02ae67, 0xb6a66171, 0xfa8c5b28,
+    0x4c267553, 0x869da65f, 0x2e5b3dbf, 0x3545454f, 0x4607bedd, 0x13d83899, 0xd2af8954, 0xfc8a5bd8,
+    0x19a39ed7, 0xcb38dad5, 0x0c109c00, 0x76197fcc, 0x69edae0e, 0x35f8846a, 0x4e75373b, 0x0c3b2f67,
+    0x59164925, 0x9cf12b0a, 0x79216764, 0x3dc3b2a1, 0xcacf48d8, 0x8e869112, 0x61a3e094, 0xca2b83fe,
+    0x0be7684a, 0xfd67bb70, 0x8dceb47d, 0x6a4107e0, 0x362de1b0, 0xa588ea26, 0xb1b43791, 0x7f0f0841,
+    0x3592758c, 0x25d894ea, 0x018ee2d7, 0x3f7235f0, 0xd2151c89, 0x54a4e25d, 0xdcaf32fd, 0x8cfd0a0c,
+    0xda55035a, 0xfa7e669a, 0xb5e50cc0, 0x3e8d7173, 0x79d59edf, 0x0aa75bff, 0xdf16981b, 0x4ecee812,
+    0x0cb5f08c, 0x6a20478c, 0x03747ad5, 0x19de51c8, 0x8a0e89f1, 0xc1b9e987, 0xb7c2b181, 0xe1d14820,
+    0x482c1efd, 0x102e3807, 0x122e6d25, 0x2b01410a, 0x6bcacc17, 0x894a773f, 0xd05f03a0, 0x791363bb,
+    0xb668876c, 0x31f51157, 0x1602478d, 0xa7bbf5d9, 0xb1122655, 0x42ac9d03, 0x07895edd, 0x2129f653,
+    0x509cb0b2, 0x188bf518, 0x6ba045d5, 0x88c93cb1, 0x1ab0cd37, 0x831b34dc, 0x14ae9b6b, 0xac87665b,
+    0x15d3a4ac, 0x7592a355, 0x398541c8, 0x2eb2df3d, 0x7e27f3da, 0xd3de7b09, 0x2afabb96, 0xb7534833,
+    0x0d384d16, 0x1b498fb7, 0x249255fd, 0xd8d0bffc, 0x4be8e01b, 0x6fccba22, 0xcfdba8df, 0x201698ff,
+    0xf758ea3b, 0x558f9d89, 0x1dfd7476, 0xa4e1dc06, 0x8661c06a, 0x1cde9bf8, 0x8a2e3369, 0x8b33bbb9,
+    0x57df1b12, 0x6b5839da, 0x07aa6832, 0x70eb708c, 0xc0a3bb9d, 0x4d653b07, 0x40777cf2, 0x7143ebbf,
+    0x617b3f0a, 0x0bddeb56, 0xef76d824, 0xc8a92006, 0x5e441bb6, 0x8718e1ef, 0x80311326, 0x3f22c6d5,
+    0xee06ae4a, 0x8c2505d2, 0x03b5c911, 0x973afa9e, 0x62a14919, 0x51c9c416, 0xc8a703d1, 0x3a00b1d6,
+    0xa573e480, 0x2d3ab19b, 0x509f54cf, 0x4741ddbf, 0xcfe07b24, 0x83a31b2f, 0xd9c5ada1, 0xb84c2bf7,
+    0xc1eaaa10, 0x9d674d71, 0xb0950af7, 0x6e32fb74, 0xe58dcca6, 0x9064d7e1, 0x777cfe9b, 0x63cbeb04,
+    0x8a2b78b1, 0xcc2e91b3, 0x3f850370, 0x75db6df5, 0xf6e21a54, 0xbe3a8601, 0x9846b5c0, 0x383da77f,
+    0xe178c979, 0x3ef92782, 0x46b73051, 0xd2883942, 0x449499e6, 0x832d674e, 0xba7e34c6, 0xc0ea91b6,
+    0x05cce89a, 0x83d16e1c, 0xfd7ec8c6, 0xaa903fba, 0x51ed7a96, 0x6b538bbc, 0x9eeec379, 0x26bb9271,
+    0x399fe527, 0x84a95b45, 0xdfb2afe5, 0x3825d3a8, 0xfbce6cdd, 0x001285d9, 0x95da89a1, 0xf5a97073,
+    0x89100cf5, 0x7ed55d3e, 0xfcff3acc, 0xecfcf2e9, 0x85fa5dbd, 0xf21eb602, 0xd866e9ac, 0x10903db3,
+    0xffc936b2, 0xa54441fb, 0xb0c06aee, 0xbb82c275, 0x3dab5814, 0x7f3d2d45, 0x39ee920b, 0x3f979a03,
+    0x2cc8c469, 0xb1df0a08, 0x6c8f54e1, 0x2f7ad175, 0xd37aeec8, 0x24b8e1b7, 0x00d2b96d, 0x43f74ee6,
+    0x72ed30f5, 0x5e43b4bd, 0x7433c976, 0xbdba19ab, 0x1100b313, 0x30f10dc7, 0x9aa0096c, 0xbd44ff94,
+    0x3c27d3e3, 0xe61a92c5, 0xcba3cea5, 0x54443a86, 0x8448e0d2, 0xa481a50f, 0x59f2e385, 0xadf002c8,
+    0xfee484ee, 0x8aa62d39, 0x0174bd35, 0x074cbcfd, 0xe88d8d18, 0x45adf528, 0xe2eb3841, 0x77097945,
+    0xb5e157e5, 0x61d3db60, 0x0b176f3d, 0x96c2a4e6, 0xba646e59, 0x1b09ed9c, 0x908e2a3d, 0xb8651600,
+    0xe850750b, 0xff36d270, 0x60c52902, 0xaa7a6df9, 0xdf8977e0, 0xdfceffa8, 0xc81d6283, 0x452b9091,
+    0xd53d72b5, 0x04c30006, 0x435ee2b2, 0x6e87487d, 0x930073e0, 0x5386870b, 0xfce2bae7, 0xe53b71df,
+    0x31ea2792, 0x729244ee, 0x44c0cd8a, 0x651c990f, 0x4e27f47e, 0x494a1eec, 0x82a720c0, 0xa90e4c89,
+    0xc1a93585, 0xc6882edf, 0x93bc8a5c, 0xfaa6f64b, 0x96ab18ae, 0x0a8a61d9, 0xedef1de8, 0xb7ea04f7,
+    0x66832c1e, 0x80e899ac, 0xeb4b3bb1, 0x7a0f8627, 0x5e47e062, 0x0dccefbc, 0x8f2c2012, 0x8fe2bd57,
+    0xdcfc1e7c, 0x4f38ad89, 0xf3ed9b5d, 0x7c461f5f, 0xa7901022, 0x46ed1251, 0x9df32179, 0x092afc4f,
+    0xa6213dda, 0xdd78419f, 0x87a32d3a, 0x95779151, 0x705f657e, 0xb5a44e73, 0xb351ba43, 0x92695239,
+    0xc2bdd93d, 0x77461878, 0x338a22ae, 0x6f6abd5b, 0x42d53de2, 0xc267ae9f, 0x3f3d395b, 0x1e88495f,
+    0x3c585d46, 0x712af862, 0xe668cb4e, 0x8f0b3859, 0x59f3a339, 0x13ce2e38, 0x2054d24a, 0xf0a7611d,
+    0x3db2f357, 0xbfb126d9, 0x5ec91887, 0x61dda830, 0x79d7ff26, 0x68eaaee2, 0x479c9523, 0x40dd8d95,
+    0xab8468c3, 0x326a5e2a, 0xa3cb90c8, 0x223abb29, 0x9351d84a, 0xc8e34f2c, 0x006d613b, 0x0d8c88af,
+    0x7f9202a4, 0x9fde23ea, 0xe3e2daae, 0xc08a623b, 0xc9f512f9, 0xc0e3bd25, 0xa51657c4, 0x7582f8b8,
+    0x01751fbf, 0x05825231, 0x177c3f08, 0xe5cc19cc, 0x3730feb9, 0x1941a826, 0xceaf43ff, 0x5727619a,
+    0x5f5a7ec0, 0x4476248f, 0xd919d60e, 0x379f2aaa, 0xb91a8016, 0x742db6bf, 0x0d495e99, 0xea3f0c39,
+    0xc22dea66, 0xae7620dc, 0xf40c92c9, 0x4ef847b5, 0x0dda1e22, 0x864c5e6e, 0xeb9b7c49, 0x40a7b000,
+    0x7b4b5b5c, 0xc9395b2b, 0xf92995a9, 0x6956540f, 0xa593a77f, 0x0efd72c0, 0xcfe1fad5, 0xdbd33253,
+    0x7004e79d, 0xccfaf6c8, 0x6f66d7ab, 0x6fd1d307, 0xcee0e04f, 0x3b515a8a, 0x0a29d8a4, 0xda58678d,
+    0x2c57d1ae, 0x978be46c, 0xe523eee5, 0xbf28bb8d, 0xad121ce5, 0x9c46eee3, 0x38096878, 0x5a23b166,
+    0x94db8dd7, 0x84c4b2fd, 0x5677fadc, 0x78b210da, 0xed56dfa3, 0xc9fd9d6d, 0x18440e7f, 0xba1ef89f,
+    0x41ebf474, 0x83980868, 0xef7a41cc, 0x1b56e90c, 0xea320a8a, 0xaf60a051, 0x5c5cd858, 0x524f01c6,
+    0x569af4c2, 0x6991fbd0, 0xab133f16, 0x13744842, 0xdc3abec8, 0xd5ba678d, 0xc9ced231, 0xe489ac7b,
+    0xf68c4a4a, 0x9c6e9d36, 0x0d136e3b, 0x8cab6a89, 0xf052d84b, 0x4d99fa37, 0x93b40e1c, 0xe6c3b67e,
+    0x90cacf6a, 0x4f619a83, 0xc2aabed1, 0xbe1d9200, 0x54ae9384, 0xe7993c76, 0xbe16304d, 0x332cbee8,
+    0xc43af9b2, 0x1e072e4a, 0xde03cea4, 0xd591d89d, 0x9b0b9985, 0x999fc7f0, 0xfd139e50, 0x59112f79,
+    0x295d62bf, 0x9d23a9e4, 0xcce8756e, 0x41088341, 0x6473a7b3, 0x6cf68692, 0xe2656eff, 0xbc92677f,
+    0x4a9c7b07, 0x8c1b8e07, 0xa5842ebb, 0x3b3d0934, 0x64b74100, 0x3876d207, 0x8b7fba24, 0x6bdf4c2d,
+    0x8e3da7ba, 0xc573f4ad, 0x4a3804ad, 0x98d85c01, 0x6d3c5f4f, 0xc841fe36, 0xdb69b290, 0xe94b7ac4,
+    0xc31fdd24, 0x6d7e58a2, 0xc200ce88, 0xab4bc446, 0x4a022a8d, 0x22208df2, 0x02e17c56, 0x836cb872,
+    0x9ab1901b, 0xa0a25bc7, 0x15840c77, 0xa6510a71, 0x92e3acfb, 0x6ce5f1d6, 0x614a2ef9, 0x6ce827e7,
+    0x489071f1, 0xf4aa2bfa, 0xbc9781cb, 0x9c7b5e02, 0x73ff9934, 0x19cc789a, 0xd81fded8, 0xe8217a46,
+    0x25cc83e3, 0x795053b4, 0xc325ed79, 0x9bc76281, 0x8623905f, 0x7556a0ea, 0xc8c229ed, 0x406b05ce,
+    0xf161a1b2, 0x9046dff5, 0xd8fd4b18, 0xe9e00195, 0x411ce03b, 0x1384b388, 0x86b5c48d, 0x68c79b45,
+    0xc47becd7, 0x022a74bc, 0xc9465b87, 0xd3147948, 0x073e777e, 0x558501f9, 0xe1c2ce70, 0xb1978545,
+    0x4c09fc93, 0xe44f7bc2, 0x6796eb61, 0x9bc18113, 0x5cc60845, 0x2723ae33, 0x7111e454, 0x5a131321,
+    0x80ac5dc0, 0x92a9908a, 0xb6a1f496, 0x4f22ad19, 0xb4799b3d, 0x8dc6f72c, 0x07164ca1, 0x6c17d3e9,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000788040123927889584245580802002872276101\
+                         59478540930893335896586808491443542994421222828532509769831281613255980613632 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33,
+    0x65b157f8, 0xdeceb53a, 0x46dab202, 0x0b9e1674, 0x19943f7a, 0x77547ce8, 0xf892faad, 0x8eb42f57,
+    0x00000000,
+    0x9f522623, 0x4387dee1, 0xdc895706, 0x92067a16, 0xf0071d26, 0x87dcd318, 0xf5c7be97, 0x4229fd6d,
+    0x835869fa, 0xbc8aa7fc, 0x9527ca18, 0xc6a0986d, 0xf4677ee0, 0x9625197f, 0x130d153d, 0x5ad7e860,
+    0xb66b74ba, 0x9ad25feb, 0xf45aa97f, 0xb08d2b1e, 0xb3816a7c, 0x7179579a, 0x1ba48351, 0xc71ee5aa,
+    0xfa3146ce, 0xc0453ce9, 0x3730c97d, 0x4a6d0a55, 0xeaec487d, 0x1fa04d20, 0x862aa04c, 0x08849f8a,
+    0x7a4fb7a0, 0xd67a14ba, 0xd64d72d6, 0x1749ddd5, 0xfcd16dc5, 0xcf3e8418, 0x55245eae, 0xf8a2be74,
+    0x53850c7c, 0xa5cc8032, 0xd9133479, 0x0328ae60, 0xf8b9d444, 0x190c0a05, 0xf6d84f7e, 0x5c2d076e,
+    0xd2499251, 0x281af1cb, 0x50934357, 0x656b81a7, 0x3154eef0, 0x6c5f387c, 0xb05f949a, 0x7e6fecb0,
+    0x75580553, 0x7fe6bb53, 0x4ddbd33f, 0x4f58238d, 0x042f9752, 0x9138a3d8, 0x29b92ea9, 0xb8a159bd,
+    0xd7d728e7, 0x8e1ea17e, 0xf2d28e96, 0xa3ae4d46, 0xb739eb37, 0xd9a9164d, 0x4c17edda, 0xa7ae1959,
+    0xe54dcdd0, 0xfc6bb967, 0x1df1256f, 0x0f2540ba, 0x79de9aca, 0x66c947a0, 0xfb2cb617, 0xcc60c1e0,
+    0xcf8b82c6, 0x2ab80ea3, 0x39096ee3, 0x1138ae80, 0xd5f3a85b, 0x14e19d1a, 0x2a92ff32, 0x294eb0fd,
+    0xbb142e1c, 0xe983e251, 0x60901ac6, 0xc5c7a82c, 0x4a01755e, 0xe6967195, 0xc180187e, 0x1626f551,
+    0xe2235c8d, 0xfda0c963, 0x5181d8a2, 0xe56c536d, 0xbcc91c68, 0x13369a5e, 0x2a193695, 0x50958eb6,
+    0xb3804642, 0x2542a8d0, 0x039553a0, 0x1246d89c, 0x42a39f10, 0x6e310128, 0xb436a63b, 0x30595d97,
+    0xa4c5207b, 0x11bc0b2a, 0xb3f8bf17, 0x4f429743, 0x35f27067, 0x652bf719, 0x2f4f89c6, 0x08bad024,
+    0x7e5bbef4, 0x2c340b90, 0x3b11c429, 0x8950a81f, 0xda18377b, 0xaf8b167f, 0xf0ece4ac, 0x24c5481f,
+    0x0942da48, 0x7eb4f76a, 0x10f7ded4, 0xd4bb7427, 0x3ad3e73b, 0xae0e6bea, 0xec7bc195, 0xed69781c,
+    0xb44d331a, 0x62c84e2f, 0x6c928e4b, 0xba8fcf65, 0xb42ac799, 0xbdbc3dd4, 0x7a805d53, 0x5859c22d,
+    0xa60e69b6, 0x46fefc61, 0xa9357aee, 0xb5c5544e, 0xf1fe0f26, 0x65ddf6e0, 0xeb9bde7c, 0x26586841,
+    0xcad9d75e, 0x960a107e, 0x93b7f260, 0x624e0630, 0xdbc0d92e, 0xf044bba2, 0x5f9352b0, 0x80885eb2,
+    0x67725151, 0x714ecf2d, 0x56b14374, 0xfc5406e9, 0xde5295de, 0xb36f12be, 0xc0aeb46f, 0x03155c7a,
+    0x90d6a94c, 0x59441a6c, 0x0646de26, 0x5b96ad27, 0x80bc2bfb, 0x73637606, 0x052e2a05, 0x10e75080,
+    0x99bdb507, 0xc1c16667, 0x0f718b1f, 0x7416bc29, 0xa3e3b6cf, 0x6ef00a98, 0x61151d74, 0xf5035c05,
+    0x734da2a7, 0x7ec76a7c, 0x806b0ba5, 0x888c8e61, 0x19fbc6ac, 0xee78df2d, 0xf61b871c, 0x561c6dd9,
+    0x4bf8fc65, 0x39edfc38, 0xf18b3fc7, 0x9f4c12b8, 0xf16b9aa8, 0x8b65b3bd, 0xe0857457, 0xcd8a9161,
+    0x90bafd13, 0x50a78f4d, 0x2b1d2429, 0xdf11f098, 0xd8fa0515, 0x93b96a2a, 0x388e4bfc, 0x024e496b,
+    0x70f77a77, 0x33ba81d0, 0x21f7a231, 0xd249666f, 0x419c5a0a, 0x5979d709, 0x8500b29c, 0x106da9dc,
+    0xc67bc790, 0xd4124d4f, 0xde9c488a, 0x9ca291a3, 0x8ee4ceb8, 0xc4eb8a57, 0x1e229105, 0xc22cbd0e,
+    0xa918a0e7, 0x3cc01bbc, 0x1b3247be, 0x4a7f431e, 0xf059a2b7, 0xb4c0efac, 0xf5571ace, 0x4862ed68,
+    0xe7418d19, 0xb43414bc, 0xa280853e, 0xcc078e2b, 0xc42db5b0, 0xc87da584, 0x22e0f7af, 0x0b628c83,
+    0xc0bf5b32, 0x50ddb815, 0x91cd3c55, 0xb352387e, 0x12ceea7e, 0x222e8fc3, 0x160e7c71, 0xc29d25c9,
+    0xe1338be9, 0x9d99b320, 0x2ed9e0f0, 0xe34680b4, 0x38677989, 0xa80944b2, 0xe2ddd8e4, 0x5d58bbe0,
+    0xa84ce2f1, 0x84145e8c, 0xde81e30e, 0xed9bdb08, 0x85ce5922, 0xcc937131, 0x43448419, 0xa2d5e993,
+    0x7f097371, 0x0f67c81b, 0xfeb3e3ca, 0xcaf948c6, 0x377afd63, 0x161f0bf8, 0x6b4fa977, 0x2003482e,
+    0x6af9b241, 0x2a3a1648, 0x465e65ee, 0x1dfbfa1b, 0xe5886a9a, 0x4c56233e, 0xd482b64c, 0x3a2d3ae5,
+    0x0f5c7a29, 0x95cd6afc, 0xe70e3537, 0x43641625, 0xab491d1d, 0x962a9e26, 0x6c3610bf, 0xd99d4e0b,
+    0x552a9f1d, 0x4da429f6, 0xd4665eba, 0xb06cef57, 0xacfc315d, 0x4d926313, 0x48c10388, 0x9a44755a,
+    0xf7524610, 0x952555df, 0x130cbe8e, 0x97ab77c3, 0xc952f56c, 0x211f5972, 0xccbeb09e, 0xaca34f73,
+    0x5df864a6, 0x285cf950, 0x3c27b49e, 0x4dae759f, 0x4ee445c8, 0x034aa036, 0x270770b0, 0xcce94d69,
+    0x45c7c8e3, 0xbe185458, 0x011b0151, 0x8802426d, 0x9f8aa397, 0x10911cd1, 0x82272e92, 0x2453ff26,
+    0xfb03f39d, 0x987a1fac, 0xe876605d, 0xeacf81bf, 0xc35d4d33, 0x361a55bc, 0x7ae5d3c0, 0x93b62e70,
+    0x93510fc5, 0x3969dd6e, 0xa6f4c9f9, 0xf7341528, 0x5f9a8b75, 0x4efbd158, 0x2c72e616, 0xdcc45c6d,
+    0x2b732551, 0x5fadb3bb, 0xfbe1a9b3, 0x2f94fe9a, 0x5b8c2932, 0xcb5544db, 0xa043e94d, 0xbbf467ba,
+    0xda68105e, 0x84ceb595, 0xc7df7532, 0x9cd1102f, 0x19b12e7f, 0x911c5bb9, 0x1f846cf0, 0xf8b84bab,
+    0x0eee5409, 0x7551aa8d, 0x679ee7d0, 0x1733b1a0, 0xdc895c4b, 0x21fa26d7, 0x14774199, 0xe431aa91,
+    0xbc7f617c, 0xe5fe37f5, 0x17eb17c7, 0xf531e3ea, 0x70cc0bcd, 0x64ce0043, 0x8dcddb93, 0xd84ba074,
+    0xa659b847, 0x8a45cc2c, 0x4e0b29ed, 0x020d38c4, 0x61d259a5, 0xc4543c4b, 0x45c821e9, 0x6f885deb,
+    0xba6fdc48, 0xc806c1cb, 0x17cdbb5d, 0x77b429ac, 0x2fb73354, 0x4742dc9b, 0xa7861919, 0x476e04b6,
+    0x2afa5169, 0x7a2b1972, 0x3aec9a0d, 0x967a6cc7, 0xce52a525, 0xf5e16a50, 0x86ce5e44, 0xf9914177,
+    0xcdb4c3ae, 0x7e4c9621, 0xacc7dcab, 0x556e12c6, 0x31adcf02, 0x1258480b, 0x78adc0ec, 0xd26d531b,
+    0xadab60e9, 0x932b4327, 0x6d6d0f89, 0x32cc250d, 0xb6eb18e7, 0x75d95a4e, 0x2b391618, 0x2a7923bc,
+    0xfd0735e0, 0x534fbe19, 0x2f77ba2c, 0x99bbbe74, 0x7bbcb32c, 0x17e22e95, 0x28e35de3, 0xfbe109d4,
+    0x99897bb9, 0xcf782e6e, 0xf6385c1e, 0xecee5be8, 0xe6d134c6, 0x64a8758a, 0x85283903, 0xb0b5312b,
+    0xb7765f0d, 0x77713623, 0xa6a54808, 0x75aa1dc1, 0xa9a02846, 0xd61d8d07, 0xdefff17e, 0x2c78cf1e,
+    0x170254f5, 0xd47da16f, 0x6fcbf268, 0x1b7b1bee, 0x1b42b4fc, 0xc69d2c89, 0x7ca13ae0, 0xadf5a6ce,
+    0x842c3480, 0xc10ff10e, 0xf937c4cb, 0x62d0b933, 0x4766d847, 0x4116b37a, 0x35d4a02c, 0x099f4406,
+    0x00ed738d, 0x20991201, 0x4889a6de, 0xb7d485c1, 0xbb37591b, 0x4f528199, 0x4cdb4beb, 0xcc0b2bad,
+    0xfc936096, 0x9a717aa5, 0xa686a33d, 0xba0e3cf1, 0x98b33d2a, 0x4817f615, 0x7391dbaf, 0x375cb8d1,
+    0x29b51372, 0xd8587fcb, 0x2827eca4, 0xb58606d4, 0xee1b5f88, 0x7b868d64, 0x82b99697, 0xe78c3fb9,
+    0xe96c79c1, 0x25cc143c, 0xc5990048, 0x85877fb8, 0xa85c285b, 0xd9088abb, 0x3c8610c0, 0xc6a71418,
+    0x3036dffb, 0x39161b96, 0xd391281b, 0x708b6d0a, 0x42cb61a3, 0x9016f3ed, 0xa376c90a, 0x562f99ac,
+    0x70a7ef48, 0x3082c2c9, 0xea72cca1, 0x9cfbafac, 0xe9a3c2bb, 0x14aafb15, 0x639464aa, 0x44d6d078,
+    0x4008533b, 0x7f823a0d, 0x84be79d7, 0x2dc92445, 0x415ebef7, 0x074b2efe, 0xc3d19028, 0x60c5f41a,
+    0x86b7dff8, 0x8075b890, 0xe7087500, 0x12803067, 0x689f92ac, 0xc1f5cc83, 0x12171ae7, 0x0cbb4405,
+    0x84c38cef, 0xe195fc7d, 0x581d779b, 0xb7aa2411, 0x8fe8da75, 0x98468f87, 0x973feb6f, 0x7e77ff55,
+    0x1ec5c6ee, 0x11e4b870, 0x5c799e70, 0x55a51b3e, 0xe190004d, 0x82eeb658, 0xd2f855e5, 0xe693ac5b,
+    0x639048f1, 0x31813cc6, 0x7ae598d5, 0x8d7eb4db, 0xe61a48c0, 0x6fb1bd52, 0xc162a29e, 0xbe9b8ca4,
+    0x4e54a60f, 0xaf8da363, 0x3ec5b3bc, 0x577babf1, 0xfdc437b4, 0x8f7654d4, 0x495f889a, 0x20f8a0f1,
+    0x9813c31b, 0x573e0451, 0xdf511e18, 0xf37abb26, 0x4ff3928e, 0x09624aa3, 0x1eef9b72, 0x92cd2ac5,
+    0xc9588d6d, 0x25640e8b, 0x399b3d23, 0x03d3d94b, 0x6239c65e, 0x11a4ddf7, 0xfac53bce, 0xcfba7baf,
+    0xa385565c, 0x72808b74, 0x557a20b1, 0x16984389, 0x57cbf5d8, 0x1e20448b, 0xfa61d278, 0x22b6734d,
+    0xd030b80e, 0x4aaf06b2, 0xe0f319d7, 0xcd31d39a, 0xfb9ca87a, 0xe90f90a2, 0x727c68f5, 0xae68cb50,
+    0xc6f4fd72, 0x5056bbf7, 0x3ce90220, 0x19cee588, 0xa4795ecd, 0x2b428079, 0x96e699d9, 0x9ec11872,
+    0x267b14a3, 0x2df63bc3, 0xd6b4238d, 0xf0217d0f, 0x1d02a6e6, 0x6c3483c2, 0xfaafd2fb, 0xee7f8968,
+    0x0266bea8, 0x0f73e0ec, 0xe2f02fd5, 0xd7cf2bf2, 0x88bf1cf7, 0x3362b7e7, 0x67ec4e33, 0x590926ac,
+    0xc761eb3c, 0x33e16103, 0xce2079c6, 0x95019fc8, 0x01c31b79, 0xfc73f169, 0x62d1c310, 0x61ef632d,
+    0x5f0c2605, 0xa25e4c0f, 0x10d52d6c, 0x8741bdd9, 0x43dd957c, 0x74311579, 0xd7247649, 0x42c1e76c,
+    0xee79289b, 0x8dd01a5a, 0xda50066b, 0x07e9fa85, 0x3604a09a, 0xfca7bc36, 0xb86e962e, 0xd67e2d30,
+    0xd481062b, 0x36c4d900, 0x8a6e7dbb, 0xb6863487, 0x2363e0f2, 0xe8f4687b, 0x00cfb7ef, 0x51e89c3a,
+    0x6b062bf3, 0xc8526b22, 0xdbfe891c, 0x258a6b5a, 0x301480d3, 0xab8b08e9, 0xaf48708e, 0x7d4c4d4a,
+    0x83906714, 0x6a14fdb4, 0x9c537925, 0x2c2496ba, 0xaedfe5db, 0x70c945c8, 0x1a646046, 0x6b507b72,
+    0xfe10ded7, 0x2b993699, 0xa6a882b2, 0x02f8ecb7, 0xdd249b47, 0x2dc13fff, 0x83ca4ef8, 0xe047b1c9,
+    0x2656f930, 0x76fcc8c4, 0x4b8d37d6, 0x6aa0d464, 0x3828c90c, 0x48a93a31, 0x1f4ebf48, 0xf3c6d74a,
+    0x9ffc2fac, 0x81d9d80c, 0x07715f77, 0xd231911f, 0xb936aba7, 0xde5b62ce, 0xa8b31c89, 0xe5bb0580,
+    0xd44c0cf7, 0x21cef03e, 0x39045375, 0xe4572cbc, 0xa3fa879a, 0xf41c2871, 0x9ae38e7e, 0xa814fc44,
+    0xb1064936, 0x920edbca, 0x12cb78dc, 0x37c60655, 0xf9b8e725, 0x5c467770, 0x835dda50, 0x75ba5697,
+    0xf085ab3b, 0x4f64a773, 0x17cdafff, 0xdd6f2b29, 0x6e14a485, 0xe65f4ecf, 0x0ab3e5c7, 0xffdc7463,
+    0x7a1e7845, 0x508cb749, 0x1430fb64, 0x8b852398, 0xa7c5a72a, 0x7bfc3516, 0x64d08dea, 0xb210fe8d,
+    0x2b530e2c, 0x9dd90889, 0x7c9b33e0, 0x4e8b3391, 0xcf7c20c3, 0x73000e0d, 0x371f23e7, 0x62dcd690,
+    0x4c8598cd, 0xc04ae339, 0x07d5d2d8, 0xe129e503, 0x4b56c969, 0x607e5c5c, 0x5acbb4f0, 0x9cb9613a,
+    0x2898fa1f, 0x41f716ce, 0xe598673d, 0x82fff9a7, 0xd1939d9b, 0x86cb5ccb, 0xd2701c80, 0x1746d6f3,
+    0xa32e7765, 0x4f904fed, 0x1908f334, 0x55d05bc4, 0x67f94967, 0x61b6b055, 0xcef236aa, 0x3c1ed95b,
+    0xb1485e8f, 0x0bfd2d42, 0x11128e9f, 0x5ff34231, 0xfa5a76ef, 0x4d785442, 0xc8e82637, 0xfa5cfe60,
+    0xa82940ec, 0xc370023e, 0x37ad0c17, 0xdcf4e208, 0x431f6fbe, 0xbbcb0ade, 0x5f117072, 0x769767ad,
+    0x755b9177, 0x2d6d5454, 0xdad81270, 0x0d19e873, 0x40757cba, 0x24648c66, 0xba4badba, 0x5c3260c2,
+    0xde9d5a89, 0x9de2aca0, 0xc008a57a, 0x14c96358, 0xf40019ca, 0x85644a08, 0xb0486041, 0x5eef2375,
+    0xbd4b65a5, 0x0de94e78, 0xcab0e798, 0x6f8644d8, 0x97bd0453, 0x14c8a01a, 0xfa4a85b6, 0xa8e4f6bc,
+    0xbed2f745, 0x8643b6b8, 0x1a03ac92, 0xb2a0e00e, 0x172c1fac, 0x2ee05f1f, 0xe9e0c658, 0x3307c3b8,
+    0x8c3996a7, 0xa2dbcb3c, 0x3c88fff1, 0x5d54d90c, 0x1078c187, 0xaaf46dd1, 0x0a0fc90d, 0xb09680e1,
+    0x00cd5101, 0x25544232, 0xaae7844e, 0xdcb7a5d5, 0x10ee466e, 0x210879ae, 0xf72ca7b5, 0x084ebba5,
+    0x23791a1f, 0xa33a1e19, 0x5311393a, 0x38e8ca86, 0x810998ad, 0x7b1b6cf6, 0xf37953cf, 0x2bfe2ecf,
+    0xb4810b6f, 0x6f521790, 0x35f2fc1f, 0xaafe51c7, 0x16463746, 0xd11e64fe, 0x75eb5e12, 0x2d98a37b,
+    0xa226d98f, 0x566c9eb9, 0x179892d6, 0xe5bcbdf4, 0xbaf7dace, 0x112fdc8f, 0x4752ef67, 0x674859c2,
+    0xa669e7c9, 0x7a5c0540, 0x003ff9c6, 0x1cc3c221, 0xf8a45fb1, 0x6c53b062, 0xe8e69de6, 0x4e6c4023,
+    0xeb707de2, 0xd0ada406, 0xfabc0523, 0x4cea406e, 0xa53d9526, 0xbb57310b, 0x7179edf3, 0x6a81674b,
+    0xc49c716a, 0x3445b7f2, 0x102703ee, 0xb2ed8187, 0xf4aaeaaf, 0x921196b6, 0x370a6091, 0x9fd1b41c,
+    0xc6425e46, 0x898319c6, 0x51cb675d, 0x6c918ebc, 0x3659706b, 0xda6e8432, 0x58a28136, 0x5b2af2c1,
+    0x1bb0c679, 0x22b1b168, 0x7fabd8ee, 0xe20e642c, 0xe213d458, 0x08d545e0, 0x1e27810a, 0x8720cde1,
+    0x63328f39, 0x869c6ce7, 0x095178ee, 0xbaa45638, 0x27b2d06a, 0xcbe7b76b, 0x5e5411c4, 0xf45747a7,
+    0xc48e8056, 0xbf923dd3, 0x5e224934, 0x3f34ca0a, 0x7298ea68, 0xe1e67abf, 0x99d14d29, 0xa6e1b11d,
+    0x63463924, 0x023de120, 0xbe3b3c19, 0x86eaa67a, 0xb03e900a, 0xe2ec556d, 0x267dbc7d, 0x5bd23beb,
+    0x89996392, 0x94aaafed, 0x8b47d45a, 0xeb0d1915, 0xabc82277, 0x5ff12cdb, 0x420b3ee0, 0xd3d01d92,
+    0x6fd06ab2, 0xac60fcaa, 0x670cc94a, 0xe69b1e37, 0x05d9cfa4, 0x8d4aac03, 0x67e1c370, 0xe5a00ebe,
+    0x457b77e2, 0x3947d33d, 0x19e7893e, 0x911a563c, 0x852491bb, 0xffef5fdc, 0x079ab755, 0x71033a4d,
+    0xd2baaa61, 0x1a627001, 0xaf805784, 0x170e6784, 0x0fb1f3eb, 0xa814bac1, 0xbca28511, 0x113c936f,
+    0x92d878fa, 0xad34f072, 0x59aea603, 0xafba130e, 0x98011dc3, 0x45d7ad1f, 0x6d430a06, 0x26cb8bba,
+    0x5895c716, 0xe0614b1f, 0x8d0424ea, 0xeba76ecc, 0x0e0f1e79, 0xed3fcf21, 0x3e3d459b, 0xb2e6c2e3,
+    0xdb5fd00e, 0x68d5f2bb, 0xb7ce83df, 0x8bd297cf, 0x673af549, 0xe549428a, 0x4ca19a67, 0xaa4a5714,
+    0xd12fc43c, 0x0022e1e6, 0xec8e9b97, 0x40e05073, 0x576775bb, 0xf64dcdc7, 0x56abb9cd, 0x0c905417,
+    0x41f2a360, 0x67e0fbfd, 0xddb082f0, 0x96710cd3, 0x067a3321, 0xb3740e27, 0x5d07363a, 0xdbf5c665,
+    0xbf7ef0b1, 0x3281c605, 0x0c0213d0, 0x25e0ba6d, 0x58cd9f80, 0x66cafdd8, 0x0d92a369, 0x72f19be6,
+    0x185b4836, 0xd0a3d2d9, 0x536ad4b9, 0xa2cf2086, 0xe02fd458, 0xb23878ba, 0xde3e4916, 0x63399a0d,
+    0xf27ecd81, 0xd217d5b4, 0x93662332, 0xbcbd5088, 0xd911e085, 0xb31099e0, 0xd814d80e, 0x2a1f6bc5,
+    0xe358c6d9, 0xba3a36fb, 0xb05ca91e, 0x38102b75, 0xbdff4a33, 0x6073fc73, 0x2e17b696, 0x35058ef6,
+    0x5e3dd9f7, 0x473a72e9, 0x55ba2304, 0x69a60f36, 0xcee43d5d, 0x75563795, 0x24d513f0, 0x9efc4df0,
+    0xd979c403, 0xa2aab7ba, 0x12ddbbf8, 0xdc1a9196, 0x12a5a3df, 0xdd8c1bd8, 0x6bba3d51, 0xbb3fc1e9,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000394020061963944792122790401001436138050\
+                         79739270465446667948293404245721771497210611414266254884915640806627990306816 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699,
+    0xb2d8abfc, 0x6f675a9d, 0x236d5901, 0x05cf0b3a, 0x0cca1fbd, 0x3baa3e74, 0x7c497d56, 0xc75a17ab,
+    0x00000000,
+    0x8ecde812, 0x2625cdf0, 0xda5fb5ee, 0xe981577b, 0x97484136, 0x457d6afc, 0xbd13c77a, 0xa1e98381,
+    0x013a7145, 0x470cc6ad, 0x63c085d2, 0x46e9b71f, 0x046ccb20, 0x37877c13, 0xbc88af00, 0x65a4d9ec,
+    0xa3ecf92a, 0xffd965c4, 0x55f64d33, 0x97bc7941, 0x0875350b, 0x457ca57f, 0x64cf65ff, 0xa42e756f,
+    0x0ea7bbbb, 0x92819fa5, 0xcda84a61, 0x7adac52b, 0x1fad1107, 0xe50ea50e, 0xa2a4f33e, 0x49e43362,
+    0x8fa42deb, 0x188932fd, 0x9b7bb974, 0x59d63cd9, 0xe6130d71, 0x6c0035fc, 0xba70a2d6, 0xb32b423d,
+    0x828b77b3, 0xa128e48c, 0x1bcba9e3, 0x2ab00357, 0x1c6208ba, 0xe97b2510, 0x0511da12, 0x20db8452,
+    0x4d6b3e8c, 0x4273c90c, 0xf5d47c28, 0x82be8fcf, 0xc14f3b4f, 0x25bcc002, 0xdd79d17b, 0x7b86536a,
+    0x9ea43865, 0x05b21e17, 0x874bafce, 0x66ebd384, 0x54db6cef, 0x79b2d1af, 0x1fe83f3e, 0x5efc5e09,
+    0xc06a4851, 0x44fdb425, 0xc2dc72ca, 0x415f22a9, 0x3b8d27fd, 0x41bcb3fe, 0x33c29d97, 0xd93d9df0,
+    0x1fd8e79e, 0xdbe39833, 0x1d19ce67, 0x689cd996, 0xaf8c7b00, 0x8918764d, 0xe57cfbdd, 0xba934eab,
+    0x222c4f2f, 0x0e32ffd7, 0xe7a65f00, 0x9eb8ae26, 0xaacbfc57, 0x8e54b627, 0x340604a8, 0x4a96651a,
+    0x09aec9c3, 0xa309cbb9, 0xa5e05e13, 0x80b236ca, 0x7ce9d6e1, 0x2beaa419, 0x62190257, 0x4a00c6af,
+    0x842048cc, 0x2a17f058, 0x09df04f0, 0xa0f30495, 0xaff58fe9, 0x8b080ea6, 0xc5815d0f, 0xe531e6fd,
+    0x3d88397e, 0x368d236e, 0x279c9d6e, 0xfe47f822, 0x6c75e436, 0x5691bc8d, 0x620a8bfa, 0x38db63ed,
+    0xc0b5c804, 0x51ebe7a4, 0x14dbacac, 0xbc54797e, 0x89c26a0f, 0xe01cba5b, 0xa48945c1, 0xe9eb2e3c,
+    0xd65e1c3c, 0xb32aa3a1, 0x9392c49b, 0xe1e1ac87, 0xcf17405f, 0x1accefbf, 0x9c132aef, 0x2cbb20f0,
+    0x774226a3, 0x065eac78, 0xbf83e8b8, 0x155118c2, 0x6e0be71a, 0xdc535207, 0xb931539d, 0xf521d2be,
+    0xc2b657ea, 0x2a9fe364, 0x30d2ae8f, 0xd48d4301, 0xe0fd4519, 0xc83b7119, 0x6f98fde9, 0xb2bee33a,
+    0x9d1a75c6, 0x2f077954, 0xf54a5171, 0x84540a2f, 0x71483ebd, 0x58f90635, 0x3be8d6b1, 0x384024a4,
+    0xe4d8f35f, 0x3e899575, 0x1571ec0e, 0xc00e8d6e, 0x2d989aa2, 0x8beb1a0c, 0x9f873da4, 0xd14659c1,
+    0x86eeb2af, 0xb9746f88, 0x9ba121a0, 0xbaa7f40e, 0xf7f41a32, 0x763410ec, 0x9f7c0a18, 0x52000cf3,
+    0xf805a3c8, 0x84946f74, 0x58e2f7c5, 0x560fd678, 0xc2a5fc09, 0xecc07d77, 0xbbcb148b, 0xfbff352f,
+    0x4966ac95, 0x02119786, 0x1e7635c9, 0xe84c1048, 0x1e3eb0c5, 0x8186eeb1, 0x6e629f61, 0xb4fd4bbc,
+    0x6b2c4c28, 0xc7021911, 0x739e459d, 0xf447e737, 0x7bb9ba68, 0xcd6ee4f9, 0x3c542bd7, 0xd7c714fe,
+    0x11db6b2b, 0xd9b8310a, 0x76c70122, 0x3c21eeb2, 0x32d47eaf, 0x498e6169, 0x6b96cef1, 0x36efec01,
+    0xfd571098, 0xd726c485, 0x22982b02, 0x1e14babb, 0xf85dde46, 0x488d6ce4, 0x67981b4f, 0xf67b34bb,
+    0xf4c4b9e3, 0x7dd75b5f, 0x76f6f336, 0xd9f2606c, 0xdd8c4762, 0x9bcc6529, 0x94ae05c7, 0x786fc68b,
+    0xe4eb4349, 0x33f0c105, 0x26ecdf27, 0xeb7e0425, 0xe9d91acf, 0x45a37e3d, 0xbc2b72b4, 0xa670a55d,
+    0x5cc35356, 0xe0b7434a, 0x1987a1b2, 0x55b79db0, 0x9311213e, 0x220f1000, 0xf23ebbb0, 0x887feeb0,
+    0xe9164794, 0x5dfe3467, 0xa7b9f3f6, 0x06751a0e, 0x35dca5f1, 0x89c9a2e5, 0xf032185e, 0xd8061a81,
+    0x32235ffc, 0x80fd0d0b, 0xa31c7ccf, 0x0e495fe7, 0xa978bd40, 0x37f87540, 0xd23d107f, 0x2e7bd270,
+    0x1f140e2c, 0x93285683, 0xcb9a79b3, 0xc1a2b0c3, 0x4264eee6, 0xd243fe58, 0x475d884b, 0x032c1316,
+    0xdd0bab40, 0x1801444e, 0xb651637e, 0xb1055c87, 0x28b332eb, 0x34ad314d, 0x9299809a, 0xb4acd4d6,
+    0xe5057016, 0x692b4f32, 0x204e57c4, 0xb17665d5, 0x3d67d970, 0xf0d23717, 0xb79d4041, 0xe025b309,
+    0xdb507358, 0x888fa5bd, 0xe5f75b50, 0x3a2ce96b, 0xee6d89c0, 0x20265ebf, 0x3106f521, 0x998f4d9b,
+    0x5017dd37, 0x6f7489e7, 0x3f03eb31, 0x46a89381, 0xf32b3441, 0x8a473868, 0x45f44f39, 0x5bb501e2,
+    0xf91e907a, 0xb478014e, 0xd26180a1, 0x1e5b846a, 0x22c5e15d, 0x67dd41d6, 0x2fc1b65b, 0x9f51ebb9,
+    0xa08b19a2, 0x271fa42c, 0x87811128, 0xb53349a8, 0xb72a6ec1, 0x3e4bb901, 0xe247eaed, 0xcd5485a3,
+    0x2db1f193, 0xdd7d48eb, 0xc891b2d6, 0x09633b40, 0x4e3e7392, 0xca477783, 0x41d95c5d, 0x6125e4b0,
+    0x6405a462, 0x7d99e958, 0x29c670d1, 0x36823b41, 0x91c4c6e4, 0x86b89c0b, 0x804b959d, 0xba31c9b4,
+    0xeceb1173, 0x7bd5141b, 0x42692fe7, 0x2d9123da, 0x7be33ece, 0xa33d3ed2, 0x7a098eb1, 0x5c6e184e,
+    0xd180d903, 0x185e3a49, 0x47a858a9, 0x6560055a, 0xccf83dca, 0x402f308c, 0x0418b9ef, 0xc9ced9de,
+    0x1eb74ba2, 0x9ec1cbb4, 0x7ee95cd2, 0x5610e66d, 0x3ffee251, 0x94607247, 0xd4c70e7f, 0x8127bd5d,
+    0x903ea853, 0x04960b52, 0x88074c51, 0x45fca2e6, 0xda846552, 0xa9fbfb69, 0x1e711bd3, 0xa14ece84,
+    0x91744c5a, 0x2b661e0f, 0x17f51413, 0xeebf983f, 0x5eee2285, 0xf1a83601, 0xab265dd3, 0x83874d7d,
+    0x2e6fee5f, 0x378acb2d, 0xcd2b8b06, 0x31a02170, 0xffde12ac, 0x70441b08, 0x0936af1b, 0xc38fe1e6,
+    0xde7c7435, 0x7db1be3f, 0x93ccbb29, 0x7095b0a7, 0x9fb8441d, 0x2426f8a6, 0x3ff3bbd0, 0x278272bf,
+    0x03b96758, 0x1aa9b865, 0xeebf1cf6, 0xace21ede, 0xae555634, 0x51691eec, 0x51303ced, 0x6678a656,
+    0x1212b7d3, 0x470cc71e, 0xe883b2dc, 0x883804f9, 0x9fad28bc, 0x88dc8e3c, 0x4f28e32c, 0x4dc42afa,
+    0x8baa4816, 0xedce6dfe, 0x2badbf86, 0x772f58c8, 0xe0d36c4b, 0xbb5685d0, 0xddf7ce8e, 0x3084794f,
+    0xdf056a07, 0xfdc9d881, 0x8522c4ab, 0x953ee515, 0xbfaaaab6, 0x695729f7, 0x6e2b1423, 0xd7f65fd1,
+    0x97ded5d8, 0x7dbdbec1, 0xd27acdb2, 0x64ba4e02, 0xfd8f9a73, 0x91713631, 0x153050f0, 0xd98f14b4,
+    0x54572a42, 0x0195b059, 0xcbcd8c45, 0x6e3e547c, 0xc1343acc, 0xc30aa77d, 0x642de039, 0x4b53a9f1,
+    0xc3d810b6, 0x23befc7f, 0x6435fac1, 0x3c38fead, 0x1e6b61be, 0x03ec4b43, 0x4db0010c, 0x427b9c6e,
+    0x7fdc086c, 0xaf17b03d, 0x17c94dc8, 0x21ec60e8, 0xd74ade4c, 0x2985f6b6, 0x581e63c3, 0x4ca64b14,
+    0x88dd12ee, 0x886a4638, 0x9960b784, 0x7580eeba, 0x5f11ad2c, 0x623e4a4a, 0xe37b815d, 0xca73392c,
+    0x25127d72, 0x01ea356f, 0xb13511ea, 0x4f967da2, 0x4c9fe1cc, 0xa290fa47, 0x45f3a272, 0x7aa72801,
+    0x39fad11a, 0x1b963c54, 0x3b94dd88, 0xcc8367ca, 0x71f89c95, 0xa4e390b5, 0x5d227412, 0xbe5178c3,
+    0x69d4e93d, 0xb88817a0, 0xaf5d2c12, 0xc618b25d, 0xf68210ce, 0x210d9395, 0xd53fc7d5, 0x81d0ac44,
+    0x3e7bbaf7, 0xab61a132, 0x5ddb0ca5, 0x8fe9c1d4, 0xa28ea64f, 0x3210c890, 0x217fc42e, 0xf76776fd,
+    0x74f3ccb2, 0x91eb8644, 0xe76d2cf1, 0xb3759e92, 0xc33b6fff, 0x5a6b2db4, 0x906eaa90, 0xd8303b23,
+    0x4218ccc4, 0x1fe2b86c, 0x67da5227, 0x41b4c57e, 0x4c0dbacd, 0xcc5cb52e, 0xf74758d0, 0xcd55876f,
+    0xa10bfeff, 0xd1d1bc6a, 0x7ade80c1, 0xc7c5bb3f, 0x814ad6b5, 0x3512f602, 0x274f8334, 0x5b010fbb,
+    0x55d8d9d5, 0x274afe1f, 0x3daa274f, 0xacc05327, 0x2d6e87b9, 0x8e7df322, 0x0e550261, 0x7bae2e0b,
+    0xf77f18df, 0x9c006b3a, 0xa53437de, 0xc0614060, 0xbf18952e, 0x324f73a7, 0xd88093c4, 0xfe1d4d3d,
+    0x1aab834c, 0x7f621b45, 0x36398349, 0xd0186f5d, 0x045804e3, 0x463ef609, 0xc4bba3a4, 0x2d4a228f,
+    0xd9862d52, 0xfa75391c, 0xaebe3090, 0x0faf5270, 0xe5ccf207, 0x97598957, 0x695c46df, 0xd62bd79e,
+    0x208f6867, 0xaa313c4d, 0x35b5a618, 0xe9f8210f, 0xd9364d28, 0xb4daf6e0, 0xf3fb26a5, 0x49f13ca4,
+    0x289b2227, 0x8fb229cc, 0xe7ffd919, 0xff6957da, 0x8575ffce, 0x7972354b, 0x83f4f4ca, 0xd879ffff,
+    0x0fc5bea5, 0xfc13403f, 0x6a46d9e8, 0xe212bb90, 0x5c086b71, 0x4c4b2554, 0xb02195bf, 0xf410143b,
+    0x3cf53120, 0xeb3a5c6f, 0xb30330dc, 0x17bd1cb8, 0x8e5efe55, 0x50e877de, 0x96f72264, 0xe873e4fb,
+    0x50ead963, 0x7a7b1cab, 0x9a9685ab, 0xa45bb8bb, 0x6c522d39, 0xe0dc1d03, 0x82c7f16e, 0x1f35712b,
+    0x54128181, 0xe25419fd, 0x8b32ee35, 0x3a6dc7a8, 0x304859b8, 0x0794f64c, 0xc71c11b8, 0xbdc78c2a,
+    0x8b88ef40, 0xda7b39b4, 0x0ac504b0, 0x86633f9a, 0x4a55b5c1, 0x110eeb81, 0x913addfc, 0xb0718750,
+    0x5eb9c098, 0x67175cf9, 0x2fafe283, 0x2800c053, 0x0512a5c4, 0x03a4e13c, 0x4ddb2412, 0x22cdb261,
+    0x91f88acc, 0x9b902d17, 0x8db0b6ce, 0x5e67c0f1, 0xadbe0a73, 0xea508338, 0xbcdd947e, 0xaeff4911,
+    0x1be6ad4b, 0x3153931e, 0x3c695175, 0x4d0c07d0, 0xde6e0176, 0x5022a84a, 0x5045ecf6, 0x4a142ef5,
+    0xafd5e52f, 0xd6637587, 0x92f1c03c, 0xe3d2aefd, 0xa0dd5b7a, 0x56505e94, 0xa9d0f6d3, 0x047bf904,
+    0x9e67f98d, 0xa792db09, 0x1ec6ca54, 0x97b819cd, 0x75912bcf, 0x1493f78a, 0x25c43712, 0x763f427a,
+    0xcafe4ff9, 0xa87f313f, 0xca3b4961, 0x3065ced0, 0x8acbb6d1, 0x4a84f536, 0xf8707382, 0xd5d82a3f,
+    0x91c8a38e, 0x3b88b74d, 0x5a9bb514, 0xde30d470, 0xb90b302a, 0x79ae25d3, 0xbf847236, 0xf94dbcfd,
+    0x9304c5ac, 0x6c301520, 0xac50f9fe, 0xee5fe83c, 0xfa04af1c, 0x65b19cd7, 0x9cd903c0, 0xbfde1f56,
+    0x7efc1fb1, 0xad9edc57, 0x5124af2b, 0x0d73f544, 0x0af3a778, 0xdee262b8, 0x28a620ab, 0x817e71fa,
+    0x732200b4, 0xfafaff1a, 0x09096f05, 0xd74e76c8, 0x14ddb16e, 0xad1744b0, 0xd01cceb5, 0xa67cb8c4,
+    0xf257e982, 0xa7f0c081, 0xd49bb13d, 0x6978b434, 0x1e781b69, 0x107ee3a4, 0x6e28f41d, 0x7f559a17,
+    0xecb33140, 0xbb67072e, 0x5b25c2f6, 0x3f5c3a6c, 0x36d5a280, 0x2bdfa14a, 0x0c701978, 0x0b2a09a0,
+    0xa76a4abc, 0x5733efe7, 0xa949dc5c, 0xbce170a3, 0x3c551cb3, 0xca661862, 0x96f7aaa1, 0x3f73355c,
+    0xf3647dff, 0x57d8cc8d, 0x87ebf181, 0xbb93e8fa, 0xbbe65a3b, 0x933f1ceb, 0x2cab08c2, 0xa3686e0b,
+    0x7570328a, 0x35748d6d, 0x32e310fc, 0x008f2eb7, 0xb0fd07c9, 0x3c04b50d, 0x4ae1c912, 0xd950cbee,
+    0xe1b320c7, 0x88b34401, 0x48ff4731, 0xe222b873, 0xa73333bc, 0x7ce8cb6f, 0x38262e7d, 0x7ae398c4,
+    0x0f23cd6f, 0x420b8e9b, 0x42f3ec81, 0x6f3960ab, 0xbc03828f, 0x50d63fdf, 0x763c0a11, 0x3f203f0b,
+    0xccd0fd90, 0x0649491d, 0x3a59c5c4, 0x1c553301, 0xeec3f279, 0x17a7dbae, 0x6051cc23, 0x8c170724,
+    0xc6b46c9b, 0x8cb64f4a, 0x3430ac76, 0x6fc40f20, 0xb12d6fd1, 0x7dfd70fa, 0xdc08f541, 0x8e0fd7fc,
+    0x039c53f0, 0x820f9603, 0x1385090f, 0x7f49d8cd, 0x2055b80c, 0x9cd6c16c, 0x42a56a86, 0x7fff77c1,
+    0x08e95214, 0xbc807c6b, 0x6c3b2dfd, 0x5ceb8104, 0xf5a4c4c7, 0x15c9ee6a, 0xbe4cf421, 0xcb19c0fa,
+    0x7076af7b, 0x9f16ea49, 0x1b9163b2, 0xc2a1359b, 0x1687b7b4, 0xd19bfdc4, 0x064fdac2, 0xe617f233,
+    0x0e063d4d, 0xa701c4d4, 0xbe2c2107, 0x21bbf970, 0x31e11835, 0xb985fbca, 0x0bc237ef, 0x57b7ec40,
+    0x0bb63e97, 0x6b632a70, 0xa3cce8d5, 0x5537df33, 0x2aa090d3, 0xaa21a559, 0xa3286889, 0x82e41de0,
+    0xe9e5731d, 0xa96b23d7, 0x6610d11d, 0xb6c1b863, 0x40bdada0, 0x09fb6def, 0xaee40296, 0xafe53063,
+    0x02386b53, 0x098de542, 0x99465ea6, 0x04133ba6, 0xe7c23a9d, 0xde04606b, 0x4d460bde, 0x4062906d,
+    0xeefcd889, 0x4cb3582a, 0x04ac1b42, 0xff349060, 0xd0949f69, 0x84f932cd, 0x4d118ae0, 0x38b98d2a,
+    0xb06858b0, 0x83eb683a, 0x2f0a8d20, 0xd19cd7a7, 0xef6a8aba, 0x629229d3, 0xa2763ac3, 0x7670305d,
+    0xb8bcf3b3, 0x14e01327, 0x8594a8f3, 0x7b731d67, 0xabdb020d, 0xfd9689e0, 0xf8578522, 0x5323aee2,
+    0x2c0e56dc, 0xc789aa5b, 0x36731da4, 0x1d6fed48, 0x7e7ffc07, 0xc8f9b066, 0x7c394836, 0x44bb02cc,
+    0xedfb0334, 0xfa635773, 0x87f96cb4, 0x0f63d8c1, 0x98155d58, 0x103dbe8b, 0x34eed9c5, 0x0a98208e,
+    0x899993ec, 0x2dd7d9b7, 0x50b6074f, 0xec8fd136, 0xe340c30b, 0xed84ab7e, 0xd02a2b24, 0xeb10c769,
+    0x589ab8f0, 0x90171f8c, 0x8bf77b02, 0x322f2264, 0x577c07e9, 0x94cb4589, 0x98a5af6f, 0xd3046f89,
+    0x84373490, 0x07496e2a, 0x1df1df72, 0xd1ce4ea4, 0xaac41959, 0x2f432fbc, 0x07317434, 0x704c3b98,
+    0x810cd4b8, 0xba1f0228, 0x0f50bbda, 0x713a15be, 0xb25c9209, 0x3185a09f, 0x6e46630e, 0x00fbed1d,
+    0xccf094c0, 0x950e98f8, 0x34d05f46, 0x6ae48940, 0x464a8044, 0xbad55fdc, 0x8410b4c7, 0x952df578,
+    0x2326a685, 0xc2ea619b, 0xc2562db1, 0xf5b5bf90, 0xce251ff4, 0xff0283a1, 0x4b579ffb, 0xe3375589,
+    0x9349022c, 0x302f09b9, 0xd627c2c5, 0x9c8ccc4e, 0xc48335d7, 0xa24b9b61, 0x6708039e, 0xddde1d8a,
+    0xa0408a91, 0x69dc7002, 0xee591d69, 0x115e95cd, 0xe6b728b2, 0xf1c4ab0b, 0x559ba68a, 0x18a1c391,
+    0xa7e8069b, 0x0aa02e11, 0x818c5bb5, 0xa3adfd02, 0x94c09612, 0x91385340, 0xb810c65e, 0xdca8bc02,
+    0xe34e95bd, 0x484bc3d2, 0xe6097dd8, 0x58ae9e38, 0x00fb5db8, 0x35af574b, 0xabaeb5cd, 0xa2419e7f,
+    0xb3c72d16, 0x711cd456, 0xc2abfadb, 0xa4a0758c, 0xd6aec643, 0xf4cda5f3, 0xd6595015, 0x9376b9bc,
+    0x8779ef19, 0x8f23fdf4, 0x4fc3d175, 0x43fb979d, 0x45dfac9f, 0xe465c532, 0x346e895a, 0x7f232818,
+    0x86daf4ba, 0x37d1af6a, 0xc869f275, 0x7dae017b, 0xff74bf18, 0xdae085eb, 0xf8ab2027, 0xc12433b4,
+    0x8b8b62f7, 0x48f2ad3e, 0xfaa5ac9e, 0xdf957eab, 0x0f1f3ddd, 0x2c2a6b7b, 0xb4bb02fd, 0xdc09ecfe,
+    0x241052cf, 0xb351c17c, 0xee111c57, 0x12c6f19f, 0x00fe575b, 0xce3d52b7, 0x1b517f1c, 0xabdb2b12,
+    0x3218c920, 0x5cfe83cb, 0x80c89a9f, 0x78fd5204, 0xe307f85f, 0x0236a282, 0x5e87cdb6, 0x0caed3e9,
+    0x5595ca46, 0xebb6c86d, 0xb2614f01, 0x23b287ff, 0xf3ae2e5c, 0xcf781992, 0xb256636f, 0x622b4426,
+    0xf10024d7, 0xfe9f63e3, 0xef438a87, 0xc38eee39, 0x427f02d3, 0x6af53549, 0x24d4ba26, 0x9bc59d1a,
+    0x0fd234f3, 0xa84a3335, 0x612b5a8d, 0x855d4f44, 0x50e820bb, 0x844fa91a, 0xd654d2a3, 0x490bf5cb,
+    0x5a07dd5b, 0xefd54b74, 0x817256ec, 0xa018a2ef, 0x18d83baa, 0x3fa272f9, 0xd783c75a, 0xb6ecf5b0,
+    0x9a0fefa7, 0x5d885192, 0x7551302b, 0x93b1dbf7, 0xa6e4a305, 0x4c29cbc6, 0xe9f74fd5, 0xa9edde21,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000197010030981972396061395200500718069025\
+                         39869635232723333974146702122860885748605305707133127442457820403313995153408 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c,
+    0xd96c55fe, 0x37b3ad4e, 0x91b6ac80, 0x82e7859d, 0x06650fde, 0x9dd51f3a, 0x3e24beab, 0x63ad0bd5,
+    0x00000000,
+    0x87331e2d, 0x8bba5537, 0x5a70d767, 0xaaedc5c3, 0xf482969e, 0x4e4569f5, 0x32a4576d, 0x01b5b5b7,
+    0x5bca8e8c, 0xe139e8fc, 0xe01baefa, 0x850bc9ef, 0x294bcf06, 0x8448e465, 0xc439f091, 0x7a98a27a,
+    0x3a40a5ce, 0x03c1d0dc, 0xeca67c23, 0x5c182749, 0x3fd484fd, 0x5ae6985e, 0x7784964a, 0x8040e046,
+    0x8e114ba0, 0x9b042040, 0xe5de376f, 0xc2703f09, 0xc587d7a7, 0xeaa137c2, 0x6a5d433c, 0x29cd0f29,
+    0x81a84243, 0xa1113e28, 0xdb1600a8, 0xd1764ee7, 0xfdea20e9, 0x68dd4515, 0x0b28efe9, 0x10eeddc2,
+    0xec5026a3, 0x9fffb4b6, 0x62ad7519, 0x67bf5715, 0x9d6bfb22, 0x8fafad23, 0xd4a9ff4f, 0xc5eec2ca,
+    0xebfd80b3, 0x538d8732, 0x032ea728, 0x9ef54c39, 0x459f02b5, 0xe4a76560, 0x00e16633, 0x967d4e6b,
+    0x5d0608a2, 0x9dd45d00, 0x5dfd7881, 0x2581c5dd, 0xd27f5b47, 0x0859f37d, 0xfc0811e5, 0xdbcd5a9f,
+    0x90197daa, 0x141be0b4, 0x1b200ecd, 0x4226dec7, 0x6bdef4ab, 0xc9b0921d, 0x4f69525e, 0x80fd914d,
+    0xab4c58a3, 0x10355fd3, 0x5fb9d926, 0xdf2c3cae, 0x59882775, 0x0105e61a, 0xa5616f9e, 0x82b14096,
+    0x83cfdc4c, 0x10fccedc, 0x04f356eb, 0x368d3b2a, 0x2272c955, 0x7befd6e9, 0x49f7ad64, 0x6fd4d07f,
+    0xad34f7f8, 0xb3a02bfc, 0xa2876d14, 0xa4190d2f, 0xd7c6f965, 0x7142e59e, 0x738bb473, 0xb23e1058,
+    0x6fdee2ec, 0x26c3e179, 0x3c3c6ba8, 0x86788664, 0x364d4592, 0x065b849b, 0xb7d88ff4, 0x04f7144f,
+    0xcc9fa568, 0x12350bb4, 0xbff24dc2, 0x303c62ce, 0x5b47aff7, 0x34ea65af, 0x684d5cf2, 0xb8a73e56,
+    0xecfbe622, 0x8c2673a2, 0x2cc9f419, 0xe79a3825, 0xfcafaa8f, 0xfb0dc3a9, 0xed297e77, 0xb4f4dc9e,
+    0x0af775f2, 0x779fb5c7, 0x6cca00b4, 0xbd9370e3, 0x58170018, 0x7259ae04, 0x40c929c4, 0x4ff6675d,
+    0xe1e87cee, 0x88725434, 0xbdda6163, 0xcab7bb7a, 0x10161207, 0x8e8fa89b, 0x4bad72b3, 0x4f81a93f,
+    0x10dae433, 0xee5c9d15, 0xca4b7993, 0xc6b3c1bf, 0x199ab7a2, 0x0abf6b04, 0xab3ff2e9, 0xa54c9b0c,
+    0x55d2c9bf, 0x1f77b4df, 0x267218e0, 0x93f0c0b8, 0xa371bd03, 0x57379799, 0x77049dc0, 0x201cf6dd,
+    0xbfc22a23, 0x8fdf0458, 0x06d4d1a8, 0x4ec756de, 0x8f744cfe, 0x476a90be, 0x270ea97b, 0x8765aec7,
+    0x5808f3ba, 0x162f1ade, 0x546b7a5b, 0x20110f5e, 0xd76a4ccf, 0x12720886, 0x1dbcbb3b, 0x8522f4be,
+    0x66c7cc9a, 0x659db347, 0x3ffa5731, 0x9f9635de, 0xd2b4fa96, 0xa951553a, 0x3233c3bb, 0xbca91930,
+    0xe789b313, 0x0ccd1cc0, 0x6f681beb, 0x876c2187, 0xf5871781, 0x48766f11, 0x7d5774ce, 0x33532f82,
+    0xe12c4d54, 0xd7562989, 0xc8613f75, 0xe1d7f3f0, 0x8ee889f7, 0x86a2e371, 0xdbb6d6c2, 0x4f157fec,
+    0x8260ff9f, 0xbadd952d, 0xff52b23c, 0x076773f1, 0x5efe401c, 0xa9ef1a97, 0x4afdabd3, 0x8b75c1af,
+    0x6639eccd, 0x84cc8b83, 0x8f77e769, 0xde8a6d88, 0xdea5a044, 0xf15a5f23, 0x4a020f1f, 0x4851798c,
+    0x4685576e, 0xd742493c, 0xe1e4016d, 0x9acf3e9f, 0x44d13d00, 0x8f2a1d4f, 0xfd02c590, 0x94bbc496,
+    0x0348190f, 0x70488783, 0xeb15a2c6, 0xcb979c26, 0x4a5f891d, 0x43238544, 0x0bb90542, 0x3cb35414,
+    0xbd612889, 0x1ca2485e, 0xc7a50c64, 0xf7f0abbc, 0xae427b93, 0x07b116f5, 0x7731c855, 0x6fc310d8,
+    0x0aa09585, 0x1ae102ec, 0x45e7e57b, 0xbbe11de4, 0x2bc7b207, 0x4bde2a0e, 0x1c839bfa, 0x3ac12705,
+    0x13a9d43c, 0xc72daf1e, 0x40b0b9b2, 0x766ae0b9, 0x650461ba, 0xb025999f, 0x1f7e845e, 0x04c8eef1,
+    0x5502f73b, 0xcc33d59e, 0x502fb5dd, 0xb58297ee, 0x1af5ee1c, 0xfc612604, 0x639669df, 0x72b4d2fc,
+    0x7f0d3519, 0x467f203f, 0x99097395, 0x1c7547d2, 0x092c2f0e, 0xe60631dd, 0xe3c78672, 0x73fb5cfb,
+    0x4a156f59, 0x5e80cb12, 0x76bc6e66, 0x06d10242, 0xc1e474c8, 0x91452a08, 0x27dbb221, 0xebd32dc7,
+    0x0b3effb7, 0x07056ad5, 0xc460ff2a, 0xf15310ad, 0xea6ca195, 0x1b181405, 0x57b90d9c, 0x66f849b0,
+    0x49b11e36, 0xce67d0ed, 0x1851dd38, 0x8d3da831, 0x4c1c91ba, 0xf697eae1, 0xd91f2364, 0x5905857d,
+    0xd66bfa1d, 0x069e1c49, 0xdf713f61, 0x325d14e7, 0xe22b2b22, 0x84fb2402, 0xbf66b840, 0x997745be,
+    0x9d9c7f74, 0x4215dc41, 0x4f976d00, 0x9ae8da01, 0xcc0fbe66, 0xd0dbd217, 0xb99289c7, 0xf12ebd7c,
+    0x41e96a6d, 0xed43e88b, 0x851e827f, 0xff709212, 0xa4c6ef78, 0xd7915526, 0x58d7606c, 0x05673daf,
+    0x171d6dc2, 0xd1ad7fb2, 0x37461bfd, 0x7a6a153b, 0x9803bb69, 0xab11c0ae, 0x57385ce2, 0x08a658ca,
+    0x44e1ff44, 0x8c1501e4, 0x8a47139f, 0xe24e306b, 0x26241c37, 0x2c69bce9, 0x9947f759, 0x3aeaeff3,
+    0xf8b5b182, 0x48876d4e, 0x4a0503fa, 0x7c7d6f24, 0x2551a46c, 0x5b727dfc, 0x397f3dde, 0x1e7abd82,
+    0x26019bd0, 0xdd65acfd, 0xe7b66025, 0xee8cba4f, 0x2d313a6a, 0x98a3b25a, 0x7cc16421, 0xf491060b,
+    0xf0c5db2e, 0xd2b4a6f1, 0x4450fc31, 0x57c1f3b8, 0x77a7aaa2, 0x86769bfc, 0xd99964a5, 0x2914e2ec,
+    0xf73a8900, 0x7e0a2edf, 0x4299c1f3, 0xd59b6bd0, 0x5df60c2e, 0x252ccc9e, 0x3d04c9b2, 0x50d2c9ff,
+    0x0f187ce8, 0xd1e7752e, 0x591bfa8f, 0xb33b8e9e, 0xf4c6e58f, 0x6215fb7f, 0x48b94aa5, 0x95f7fbc5,
+    0x11cab0e9, 0x644e5fdd, 0x2d481c10, 0xec9c7758, 0x5efa6645, 0x6070d07c, 0xd8acf0fb, 0xf59af877,
+    0x3f73b5e3, 0x2230c4dc, 0x22449ab9, 0x6c9473f4, 0xe295f15c, 0x73eada53, 0x71ac6595, 0xdbd36866,
+    0x9e6287a8, 0x13254333, 0xa6637247, 0x335e4e0e, 0xd65f236e, 0x98b3d0c1, 0x356d184f, 0x2c7b4d37,
+    0x247dc7ee, 0x576f1c0d, 0x4f34513e, 0xdc5ebaf4, 0x2dd4f028, 0x6ea79373, 0x5e62b223, 0xccb07192,
+    0xf17d694d, 0x176840c3, 0x4d69d839, 0x4283c66b, 0x5e0cc72e, 0xe29736f0, 0xc92cb23d, 0x088792ba,
+    0x430a6a26, 0xbd729885, 0x8b18d58e, 0x57d7a693, 0xddd8c959, 0x300d8e6a, 0x1b09356e, 0x751578fe,
+    0x33a3f78f, 0x97398768, 0xf0cc5626, 0x315a6773, 0xa00ff7a3, 0xb6e09b41, 0xe7be7cb3, 0x000e989d,
+    0x2aaabc7d, 0x5d171c22, 0xd33e3793, 0xf008714f, 0xd9dab7ce, 0xc00638e2, 0x71e27e2e, 0x9416ffa8,
+    0x2681acfe, 0x861b1e46, 0xd48b6ad3, 0x2b304e9b, 0xf54d2f57, 0xd10a7fc9, 0x037c492c, 0x284d9d8c,
+    0x86845bdd, 0x496b1cf5, 0x34b68025, 0xab28c671, 0x749903b9, 0xb6cc1a2a, 0xe80c552c, 0x18461a01,
+    0xb69b6bde, 0xdf1fbe83, 0x3c98d0a9, 0xcf0c1b96, 0xd1ab30fb, 0x0d4c9802, 0x61dacab7, 0xd0faddf6,
+    0xfd6bcbdf, 0xc619e1a2, 0x8aea6322, 0xbf02f69a, 0xaa3ab967, 0xb0af5ab8, 0xcfe3cefb, 0xd9a84158,
+    0x8e28a9b5, 0x6cd979df, 0x23bfcbc8, 0x3c4cc795, 0x1b60a393, 0x56303093, 0xbc18f2fa, 0x312fc864,
+    0xd63c8ea1, 0x0a2a14b0, 0x34971b9d, 0x6ae74b10, 0xb256572d, 0x1b795998, 0xfc2cccfb, 0xea39c893,
+    0x39a7b2d8, 0xf606f38e, 0x2965b240, 0xb9943dcc, 0x7571d85f, 0x5a292b17, 0xee2ab08c, 0x9573e6e1,
+    0x4c236d53, 0xbdb13d08, 0xd4a26a4d, 0x28f804f3, 0x1417b155, 0xe43ca3ef, 0x0ce14ddc, 0x9096579f,
+    0x87d71ca0, 0xd2c9c5c7, 0x75d4162c, 0xeecd5215, 0xca363402, 0x101fa3ed, 0x2a0c6761, 0x80afb094,
+    0x444d76f4, 0x6218333f, 0xf5f6f4a4, 0x58668211, 0x21f6bf03, 0xd40c0375, 0xa3963c1b, 0xbf74977a,
+    0x66fd053b, 0xc90377d9, 0x0eae92e3, 0x321eb517, 0x306d17a2, 0xd21d2829, 0x81acb010, 0x0a24d28d,
+    0x286ac237, 0x05244243, 0x84378d04, 0x30c40953, 0x5f5a760f, 0x10582b77, 0x40637d5b, 0x0486d9c1,
+    0x265fc918, 0x366b1a13, 0xd2c24d2e, 0x10347d22, 0x77375d32, 0x5c9deb61, 0x920cb746, 0x96d167a3,
+    0xe63765d8, 0x43ff835d, 0xb049c1d0, 0x4ee7fa6d, 0x876571d7, 0x96c04134, 0x0e23e59a, 0x4021eb0f,
+    0x7ec24e1a, 0xa83c4ce7, 0x67e5429a, 0xa3078b9e, 0x96b106a5, 0xde11d9cd, 0xa88de959, 0x93fce768,
+    0xf5320229, 0xcbb63f89, 0x936ace8f, 0xa21908e6, 0x9eebb50b, 0x1cd4da94, 0x186ab122, 0xc83287f2,
+    0x12100680, 0xc7f19981, 0xf4f8713b, 0x96691987, 0x1e11afee, 0xae42c62c, 0x4be6c131, 0xed08e006,
+    0xc662e885, 0xee14e4ea, 0xbd89d5a7, 0x626daa5d, 0x39e7c559, 0xfe405738, 0x7ab791ac, 0x5c52de25,
+    0x9724f3c8, 0x0fe48bc5, 0x5d0f8e22, 0xb0c0a50d, 0x26beda9d, 0x3d94c85c, 0x6aa29fd2, 0x4c2a9b34,
+    0xac9a2d6b, 0x3fd1ed2a, 0xf03c7cfd, 0xd0b18e30, 0xc5a1ec4b, 0x29f29160, 0x512249b5, 0x370b9f74,
+    0x9029f13e, 0x23901599, 0x8af27e9c, 0x4d342c83, 0xbaa2dbc7, 0x49339112, 0x2572951e, 0x6dcc2e39,
+    0x32f8892d, 0x1c155a9c, 0x0b299161, 0xc70506af, 0x5ca0e6b9, 0xa226aa29, 0x57776dee, 0x25f4467d,
+    0x082a5ffe, 0x67e699bc, 0xf368b8e1, 0x6b271ce0, 0x17b65092, 0x4f5900cd, 0x0eb4589a, 0x4908aeab,
+    0x2862a5f6, 0x15afb13f, 0xac8b2256, 0x3d37d713, 0x7de1ce44, 0xcddb5e30, 0x328cf582, 0xfaef9ce3,
+    0x8b3f662f, 0x108896fa, 0x378ec6d5, 0x61c8abb9, 0x8ac8edb9, 0x474f9318, 0x30ce0f26, 0xf5adb787,
+    0x08154023, 0x6852ed28, 0xb5c2bd1b, 0x644bad25, 0x9cc9bcb6, 0x566c97d3, 0x5ea070e5, 0xb3049a19,
+    0x1be8b831, 0x7c549672, 0x63584841, 0xcd745da5, 0x03ba52f9, 0x7fef0886, 0x38b4512d, 0xe92f3b23,
+    0x366b9b85, 0xa3b202c5, 0x405d6011, 0x84d348ee, 0xaa6dc073, 0x08583c8a, 0x60f7762e, 0x03ed12f0,
+    0x55709997, 0x6c93bbb7, 0x13063bee, 0xb14037a7, 0xc1c5242f, 0x4554dd73, 0x23fa0596, 0x1bde6edd,
+    0x0a2ebf89, 0x55bc09c7, 0x28cd2dee, 0xb18af0d8, 0x13861571, 0xbccda72f, 0xfc729786, 0x3c09399a,
+    0x59c66f03, 0xa2e75ae3, 0x191a4c0c, 0x3d2adcbd, 0x61b08a49, 0x8781db15, 0x0313d824, 0x89a072a6,
+    0xd62006cb, 0x80e13ac3, 0xa3f448c1, 0x41453963, 0xe4796e8e, 0x6c096b3b, 0x59e4c004, 0x5b344619,
+    0xce2689cd, 0xbef05310, 0x9f2fba50, 0xbc94b409, 0x9178d4c0, 0x3797ddcf, 0x20a80a2c, 0x2e84614d,
+    0x0d33fcac, 0xaebd4931, 0xcaec6be1, 0x66422212, 0x59469525, 0x8babc05e, 0xd21d7db3, 0x2c79a6e5,
+    0x182eef7d, 0x487c28ff, 0xb9fd4220, 0x9e530d01, 0x3bb89959, 0xb3c7fc63, 0x118e79b4, 0x67617323,
+    0x2e567b86, 0xb743eba0, 0xec2c641c, 0x0f70cf29, 0xfbc77a61, 0xfc9e2371, 0xe456b13e, 0xf4369ede,
+    0x50d43af5, 0xb0fac924, 0x9403353f, 0x92639f2d, 0x60d3e2e9, 0xba89a3c9, 0x7c8da0cc, 0x36861a6e,
+    0x164a5056, 0xbcc1c54b, 0xf8393640, 0x52214b23, 0x2b8505c5, 0xccf32a20, 0x51b7ba6c, 0x88952f79,
+    0x2707a799, 0x724f9289, 0x92d32bdb, 0xc3134e24, 0x254640ae, 0xdac6769d, 0x097a03a6, 0x94c40eeb,
+    0x64c7e3fe, 0x1edb0849, 0x7068bb7c, 0xe2927c18, 0xfecba742, 0xfbde4979, 0xf46830eb, 0x4e9db1f1,
+    0x03549910, 0xc4af2767, 0x8f4f1b59, 0x46625194, 0x05e49749, 0x3f6c1eee, 0xa3c8d3a5, 0x9cefe406,
+    0x7c17a7c3, 0x8f1dc096, 0x7474a49c, 0x1f860949, 0x399695ae, 0x94fe5195, 0x39cf53d5, 0x5b2a8647,
+    0xd484c6b2, 0xd114c03c, 0x0ea48193, 0x720ef85c, 0x6617df0d, 0x012d0036, 0xe29cfd68, 0xb6c4a674,
+    0xdd423407, 0x125118e4, 0x44e03320, 0x4961329e, 0x4c10f988, 0x5ec2cb28, 0x3d41ccec, 0x78654861,
+    0xa3417f38, 0x3003c29b, 0xe8917fc5, 0x6aeec081, 0xe5cf9907, 0xb7a1f708, 0x68022571, 0x0ca6809c,
+    0xe71dbe72, 0xa7d7dc2a, 0x28fef7a1, 0x4fe06373, 0x941d93b8, 0x1d432a82, 0x0de4a76d, 0x77182de9,
+    0xde0136c4, 0x46153447, 0x9206aaf5, 0xb8787a1f, 0x60941dee, 0xb9a01d27, 0x5d38c51f, 0xde656920,
+    0xac40b98f, 0x0f588143, 0x01fc3c43, 0x7aeac5a0, 0x755ddea7, 0xe449f2b4, 0xc7c2bcbd, 0xfcbeaf1f,
+    0x30f4653a, 0x76878ac3, 0x9f868f28, 0x43fa22d4, 0x4bfa05c5, 0xec6e371e, 0xa311ce69, 0xf027dee5,
+    0xcbfa7a03, 0x70013a84, 0x8aaf9f50, 0xfa6b5a91, 0xd45fb411, 0x37c76beb, 0x4b8543da, 0x1a340118,
+    0x5713d75d, 0xfc1460dc, 0x1a75ad02, 0xd6ac17bc, 0xf553ba66, 0xd4d1db33, 0x80b54fef, 0xbca6e348,
+    0xee355066, 0xe2173ffd, 0xe2850110, 0x239b5a79, 0x1c47d300, 0x28051a87, 0x99ace1b3, 0x0d9df1e3,
+    0x3e17fa0b, 0x552ec828, 0xdffe19d4, 0x92aebb85, 0x56813fdc, 0x232c4edd, 0x5c941673, 0x6421c39a,
+    0xf328f562, 0xd2e292f0, 0x062f8c46, 0x2992252c, 0xf3fd7a8a, 0xfb38fcbc, 0x7ab9e771, 0x885ebe87,
+    0x66417ec6, 0x01065742, 0x48d20044, 0x7d9a215d, 0xe63d33f4, 0x55adc7da, 0xe0af74eb, 0x63f24c61,
+    0x823135f4, 0x7fa5ae89, 0xbeeb50a7, 0x46d39551, 0xcfb89fe7, 0x9ec205f4, 0x062d1d4f, 0x0cbde0a8,
+    0xc0e0a7de, 0x3e37b61b, 0x0eef6d13, 0xd0caa32a, 0x2267f1bd, 0x95fd5aae, 0xb615bdae, 0x30c16174,
+    0x3f531c93, 0xe3833374, 0xfafc1188, 0x73c47a85, 0x57ec4238, 0x4f83f206, 0x4ccfeb05, 0x7423a6f7,
+    0xfbfb6841, 0xbcde1cf3, 0x98d77d10, 0xbe84e31e, 0xa5177495, 0x2eb585ee, 0x8be6237e, 0xfc848dde,
+    0x8f0b415f, 0x2bc54e4f, 0x39ad0d29, 0x6f5d7576, 0x8b6c9e44, 0x0d1a2250, 0xf007b9aa, 0x2b39a2c7,
+    0x2ecfdc21, 0xb4aee3a1, 0x08663256, 0x7a70e568, 0x03bafae5, 0x50f4fdf8, 0x321db546, 0x79c8aa84,
+    0x1fff0f34, 0xa0761261, 0x3133dee5, 0xd3624315, 0xd80b1b87, 0x92d4906e, 0xb3fa8817, 0x2f74b704,
+    0xa5e223ea, 0x76bf5c89, 0x3a2a27ca, 0xde0fcc6e, 0x73aee565, 0xb056b10a, 0x60c87d99, 0x5a26666e,
+    0xbf5d15e1, 0xacd95df3, 0xa1f84847, 0x56e1ed43, 0x4311a505, 0x1dbfdd18, 0x351a100f, 0x1cac1e1d,
+    0x6c2a502d, 0xe7fdad4f, 0xc63bf13a, 0xfde47ea1, 0xdb9cecaf, 0x6db07bb4, 0xd1b91522, 0xed6804d6,
+    0xdb603f49, 0xc6fbfd96, 0x098e9983, 0x12974e7b, 0xff9a5587, 0xaa7351dc, 0xcecd770a, 0x820218f0,
+    0x4a712fc7, 0x2aebfa8a, 0x75fb88a9, 0x5100cd5e, 0xa05fc04a, 0xe21064a9, 0xdf2613ed, 0x2e78b39b,
+    0x75e3539c, 0x1e61894d, 0xe479cbc1, 0xe683a9ca, 0xefe5a715, 0xb09100b8, 0x27319f68, 0x7e551f17,
+    0xb127341e, 0x771e5f5d, 0x1abc33a7, 0x42231be7, 0x3fd49259, 0x85e62766, 0x39c88067, 0xc565b45f,
+    0x9d525803, 0xaf9d8a88, 0x7aa856c3, 0x25305fba, 0x16d2c899, 0xe491992e, 0xa422f920, 0x87fa3dd3,
+    0x8e61ce55, 0xb8b445b3, 0xa9dde438, 0x326ce72b, 0x6d733523, 0x40f58059, 0x12c393fe, 0x1bd9061f,
+    0xf63b93fd, 0xee5e1d84, 0x173bb46d, 0xf9333a96, 0x43566743, 0xdd6cd052, 0xe14a4140, 0xaeb9a645,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000098505015490986198030697600250359034512\
+                         69934817616361666987073351061430442874302652853566563721228910201656997576704 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6,
+    0x6cb62aff, 0x1bd9d6a7, 0x48db5640, 0x4173c2ce, 0x833287ef, 0x4eea8f9d, 0x1f125f55, 0xb1d685ea,
+    0x00000000,
+    0x838cf3c4, 0xa2db04bc, 0x8206fd3f, 0x4dbfa582, 0x2859e96b, 0x9e0b6346, 0xf84e349b, 0xf4b87aef,
+    0x24f59f84, 0x55fbfe2a, 0x8a74eba8, 0xf5ae61c2, 0xa15c665e, 0xf47c4fec, 0x8eaa4696, 0x2920fc08,
+    0xfb411b22, 0x64dc887d, 0xb6ceb0fa, 0xf3133bd5, 0x9184f588, 0x1980ae4f, 0x71811fc3, 0x98d36d01,
+    0x8db92c6b, 0x21e28ba3, 0x26d1f9b8, 0x80ffefc2, 0xc52243dc, 0x63bb7237, 0xd84b3ad3, 0xbbe02002,
+    0x66c7bfa9, 0x3bde1c81, 0x394ca49e, 0x1414fb7d, 0xa32da9bd, 0xa6047693, 0x7ad6e44d, 0x73714f89,
+    0x6ee06be9, 0x7c0c043c, 0xc7313dea, 0x4fcf92ab, 0x4c48272e, 0xf83d3a1a, 0x46eeaeac, 0x3058e93e,
+    0x884dc0d7, 0x76d502d8, 0x80f31b4c, 0xb8302837, 0x9d408aa5, 0xfb072c11, 0x512efcd9, 0x88c01aab,
+    0xaa51c321, 0x907cce2f, 0xd00cef4e, 0x8009824e, 0xc4714b25, 0x91d651d5, 0x1686d57c, 0xdfe3144f,
+    0xef8eb8bd, 0xe665f5ea, 0x020e2dfd, 0x190e636b, 0xae49f657, 0x73f77f6a, 0x6f81945e, 0x1ceae372,
+    0x7baff985, 0x34471226, 0x55c50bcd, 0xea43b3bc, 0xaca44ca7, 0x02d8cc06, 0xe6189a5d, 0x9e7f3bed,
+    0xdbae4ccf, 0xb7457e5c, 0x19b0886a, 0xbfc5a8f0, 0xfb4056da, 0xd9c201ef, 0xf93a6591, 0x93e31055,
+    0xdd53c150, 0x4c566498, 0x6c207951, 0xdf3c7a52, 0x48d2fe20, 0x78ce91a5, 0xf5fb6716, 0xafbae8f9,
+    0x4471e2ad, 0x4d97556e, 0x8dc6aacf, 0xce33c190, 0xce37cef5, 0x41a78be2, 0xbfab6242, 0x22fd0b09,
+    0x887b7010, 0xc57ebec7, 0x9e5e1acf, 0x385a7ba4, 0x693ec316, 0xd3f554ac, 0x8894cf32, 0x1caf5f56,
+    0xac41a358, 0x6d3e38e1, 0x988abba6, 0xdc446fff, 0x3acd0ee5, 0xde22ba35, 0x57521ab9, 0xd667333d,
+    0x22e48e7c, 0x4c0057ca, 0x9d357e7c, 0xdcd413c9, 0x3f9a2b70, 0x465483a2, 0xd0975e70, 0xc6df129d,
+    0x1bc42a60, 0xd6fda1f9, 0x7fd0f7f8, 0xf4c6dedc, 0x208e04f9, 0x0dc25ae7, 0x3e9827f0, 0x6f2e6ea0,
+    0xb442c29a, 0x3bbeccde, 0xffb302a2, 0x47dd6ffa, 0xd2f74d66, 0xcd1e7de9, 0xbf654f8f, 0x262b77a2,
+    0x45089a99, 0xabdfde1d, 0x2ab8f3a6, 0xb662d9e4, 0x6b258e0a, 0x384d90d0, 0x1dacc7de, 0x0339c647,
+    0xf06fadaa, 0x0480c936, 0xe300db6a, 0x2537e651, 0x3145625f, 0x6ccd5076, 0x38e11e77, 0x731eccf2,
+    0xc0dd3693, 0x5ed86ff0, 0x9a85269a, 0x8912f4b2, 0x9320e883, 0xd9dce7d1, 0x2604bd8b, 0x7ee13223,
+    0x89a13e9f, 0xb58ea1fc, 0x24d16672, 0x8f33ea3b, 0x2b3cf7a8, 0x879feeb6, 0x5e124735, 0x7d36b1d0,
+    0x35e1bcea, 0x160fa989, 0x81ce5147, 0x53426c1c, 0x0c310b6b, 0xede2284b, 0x4f0c23bd, 0xbd0f5ae5,
+    0x97a167a8, 0x4138d59f, 0x1307d8e3, 0x8e090f46, 0x69251155, 0x775a8f65, 0x1b680880, 0xd0a27379,
+    0x3c3ef6c7, 0xedcd614a, 0x0cb9cd15, 0xe66b6756, 0x7ce4784f, 0x577af555, 0xccdd07d7, 0x9631e184,
+    0x2ce889a1, 0xe7085fc8, 0xa4cd2d6d, 0x538c7ea9, 0x7b15aba6, 0xa8a7f3c2, 0x0575ea40, 0xda510ea4,
+    0x87cdf055, 0xc9b29cbf, 0x5affb101, 0xb2f58f3a, 0xd26f097a, 0x6f150da9, 0x92c2bc4c, 0x944b62bf,
+    0xe921274e, 0xf1f3d4f9, 0xa564c809, 0x9c00768c, 0x17c3daf9, 0x799573bb, 0xfb457c0a, 0x5d76e608,
+    0x1e135c85, 0x72563ef8, 0x765ca312, 0x40b3dcc9, 0x380ef768, 0xabf87b98, 0xb9f4eb51, 0xfcce1cc0,
+    0x7823ad0e, 0xf47b727e, 0xbc596b8e, 0xc394e935, 0x67d601ff, 0x8d694438, 0x40e65b5f, 0xa0ac2857,
+    0x6295c3d5, 0xe4bdb163, 0xbfb2a68c, 0xc0b27566, 0x01669972, 0x25b38798, 0xd354b77e, 0x94022882,
+    0x0be83823, 0x2ec3d117, 0xea2dc1ec, 0xf9e5ffc6, 0xeea7f6c6, 0x9c1becf8, 0x8a938338, 0xb089f527,
+    0x0a98c038, 0xd66d9587, 0xcd6716bf, 0xbebaab96, 0xcd81b227, 0x934865ab, 0x92b4a380, 0x96178d93,
+    0x5a2210d7, 0xbed1af5d, 0x6a15e8db, 0x36c4aaec, 0xfbc96f9a, 0x8912d29f, 0xe309d546, 0xe4784707,
+    0xc5ddfe9f, 0x3eea38bf, 0xf3ae95fd, 0x886b9cbd, 0xb7757dff, 0xe4f644c3, 0xe85de782, 0x807bb952,
+    0xc8b581c5, 0xf098456c, 0x2477b4d8, 0x755affc1, 0xe068ff38, 0x851fdc93, 0xf859ce84, 0xd03a412c,
+    0xba4e4284, 0x45823023, 0x63dd6852, 0x2d86973a, 0x0c7798cb, 0x1f86da4e, 0x6e292dbc, 0xcc4f946a,
+    0x20945fc6, 0x3d5c10c4, 0x57ce01e7, 0x1612785e, 0xfb5d3bb5, 0xfd1186a5, 0x71200632, 0x628b5426,
+    0x82189769, 0x11b23d1d, 0x56a9016a, 0x74d5e002, 0xbaa6e502, 0xdcfa9c32, 0x2b4d29f4, 0x0aecaeff,
+    0x94ade368, 0x00fe2e20, 0x569175eb, 0xb3cee715, 0x9cb56ad7, 0xac3bd6a6, 0x63d19304, 0x56c4abc6,
+    0x1b409557, 0x8d1cc8e2, 0x82c1c4d2, 0x6162ddac, 0xf4061382, 0xdd3e0421, 0x218eb40a, 0x2798a833,
+    0x95d84816, 0xf64b1fda, 0xbeb773a7, 0xa5b951e1, 0x0f22bd7b, 0x7827a818, 0x7017aa26, 0xb08d4a65,
+    0xbcf8a8a7, 0x1334cbc5, 0x9a21d8c3, 0x01dde7f7, 0xc900cd42, 0x077ba9a0, 0x354b965e, 0x668ae38e,
+    0x329ed083, 0xfb4e1c5c, 0xa4c84cda, 0x7479dcbb, 0x865116ef, 0xb71020bf, 0xcbd4046e, 0x7f7a1873,
+    0x5de27bb8, 0x0ab76b59, 0xe58e8f0d, 0x0b5afc91, 0x3c64d893, 0xc1af341d, 0xf784bcb1, 0x95fb0fc0,
+    0x2384b76d, 0x0d610dcb, 0xb4e9a289, 0x70f62914, 0x87c8a41f, 0xd2b01551, 0xa40e5476, 0x1604abd6,
+    0xe6df027e, 0xca3c2b85, 0x2220564a, 0x20004f92, 0xcda815f1, 0xfb01b110, 0x9e4c498a, 0x0cd1b9f6,
+    0x09a03159, 0xa698be9e, 0x47301061, 0x8cdfb4dc, 0xbd10cb3a, 0x32f61875, 0x9ceebb37, 0xd9b82768,
+    0xed81c055, 0x8d2bd74f, 0x66f93661, 0x68d8c079, 0x9850cfd6, 0xfa015f8c, 0x239d7e75, 0x856017ed,
+    0xb434a09c, 0x80d71b79, 0x63d6d5c7, 0x5f21b562, 0x10833eb3, 0x2b24ba75, 0xb27a67c6, 0xbf292fe8,
+    0x451bbf25, 0x689b666b, 0x29579643, 0x5eb2c480, 0xfacc65fc, 0x246b1a10, 0x115f7fc1, 0x2206966b,
+    0x4a265c12, 0x377c47e4, 0x33b4b51d, 0x2d299d17, 0x20d4586e, 0x08ad6d23, 0xb5e705ea, 0xb5475f00,
+    0x860c06aa, 0x29bea7e1, 0x4a85f5c2, 0x6dc9d663, 0x630006d3, 0x546dcffe, 0x7809978d, 0xc376aa43,
+    0x86dbb733, 0xadc3dc30, 0x4a61dc43, 0xa9119446, 0xa57e7adc, 0x01e9829f, 0x58f9373e, 0x2a0740c8,
+    0xc7d70123, 0x9d282f5a, 0x224c0002, 0x87339f6c, 0x354dc6e2, 0xb55a48cb, 0x2f4d92e8, 0x56728e9b,
+    0xf794ee97, 0xe539bffe, 0x730a9bad, 0xf60995f2, 0x95196c49, 0xc4f53b12, 0xb2ca9dcc, 0x91bf012d,
+    0xc725ffd2, 0x911dcc44, 0x6e120d37, 0x777fe65f, 0x56eab48e, 0x35fe2edf, 0x5b8a9aae, 0xcddb902f,
+    0x311fdf85, 0x78520073, 0x9446a168, 0xf36b5520, 0xdcba06c8, 0x4d43e4c1, 0x0a997b98, 0x7699d4ae,
+    0x8af7c94e, 0x6e5439a3, 0x2ed8ae9b, 0x68d66635, 0x5ace199b, 0x4e5eba3c, 0x9824aec4, 0x0d414a69,
+    0xf648b207, 0x692a2a1a, 0xd656cd5e, 0x6d55fb32, 0x4d0375e5, 0xabb4d4e2, 0x76aee879, 0x9ba55fd3,
+    0x3a5e647c, 0xda6aa7d3, 0x331cd983, 0xe8a6f4ff, 0x6e5a9c32, 0xdf23bc62, 0x3f9744db, 0xe14a6352,
+    0x8d2a6d1b, 0xd0b5f503, 0x546164a8, 0x015332fb, 0x1f450f28, 0x84b9530d, 0x67d47afa, 0x283445a1,
+    0x686b4768, 0xa562af27, 0x94c9e313, 0x08daf466, 0x6e0d7fda, 0x186b8c3b, 0xa3ddbe1d, 0xcfda4267,
+    0xa49e2806, 0x7fac560a, 0xd31b3277, 0x305bb95c, 0x8edd6214, 0xa69c76b1, 0x008528fa, 0x8189fab1,
+    0xad1d8189, 0xe810e82a, 0xb022ecd8, 0x2023da8a, 0xef842fec, 0x6ca8e21b, 0xdbd4b9cf, 0xee008e55,
+    0xb5271f9c, 0xd706eb6b, 0xc0338171, 0x692da8ed, 0x3a24b1b3, 0x9815dea1, 0xf3f58480, 0x84a0dffa,
+    0x3a7f3140, 0xef803a1e, 0x5b220d4e, 0x326e5518, 0xa9c5bc1b, 0xa6976581, 0x88da8381, 0x1779a2af,
+    0x350cbc73, 0x4a56f2fe, 0xd5ac4e61, 0x28f5e191, 0x19480824, 0x9e29309d, 0x0e7664d3, 0xb552898c,
+    0x45b3c521, 0xda320b7c, 0xde407b2a, 0x1405ca50, 0xdc52349e, 0xb883b81a, 0x89955c51, 0x9e4359b6,
+    0xa71dfef7, 0x6abcdbf0, 0x1537848a, 0x9953830d, 0x5134518a, 0x1dfee21d, 0x7d0c94ee, 0x5fd78a55,
+    0x3cef62b4, 0xe864b382, 0x776f7343, 0xefe103b7, 0xb6dc3c72, 0x2b54c99a, 0x575fdbe5, 0x6eafbf4a,
+    0xdc81e58a, 0xfa999712, 0x49f0ca44, 0xc8e4ee65, 0x61f07bd6, 0x37052891, 0x0c61e949, 0xfc6daca3,
+    0x3997278e, 0xd633d929, 0xa497381c, 0x807fec86, 0x026f5d14, 0xc6225019, 0x32dcf1ba, 0x919306ba,
+    0xbc1ce1bf, 0x571a7b76, 0x1ea08b32, 0x25b0b916, 0x3500d2a8, 0xdaf9b68c, 0xf911b7ae, 0xb6bbf820,
+    0xb6dafa25, 0xb11bab79, 0x34fa2fa0, 0x15ce8d1c, 0x15d3b681, 0x496f117f, 0x672c5e3f, 0xf1d1c3e4,
+    0x4e8b8928, 0xef0c667f, 0x2b1d9429, 0x118e2b66, 0x63f4ee29, 0xe1610263, 0x97f2b8bf, 0xd2e83b22,
+    0xef5aaa6c, 0x0440f084, 0x8a0a6c5d, 0xcd24343c, 0x4d69c2d2, 0x1d78aec0, 0x3b908c9a, 0x3f7a7585,
+    0x4dc49057, 0x52fdd2e9, 0xd81f234f, 0x8f3dcad7, 0x45aa14ce, 0xabd101bb, 0xe169b75f, 0x109ce5b7,
+    0xc073b8b3, 0x7b3c087f, 0x389995f9, 0xd874aec5, 0x085d25b9, 0xc018243c, 0x525cb491, 0x3a7c1c69,
+    0x58d19116, 0xe561f371, 0xb83b7643, 0xed06eb54, 0xcf8582fd, 0x71f7c11f, 0x1a93bfa6, 0x35812f0e,
+    0x4af44124, 0xaf17694c, 0x533ff130, 0x7098d1b0, 0x838dae60, 0x34b48939, 0xa642fdb8, 0xb1b96bf2,
+    0xde3a45cb, 0x137b2bd5, 0x54022b48, 0x0fe58f96, 0xa9f2ee48, 0x573de6a8, 0x682cdb8f, 0x9025090b,
+    0x4fe6bfb5, 0xc3ad018a, 0xf442d8da, 0x04690def, 0xe4b2db52, 0xc60f53a7, 0x35627698, 0x3ddd3c6a,
+    0x00118c63, 0x7e9b563a, 0x8c25d637, 0xcb7018ef, 0xd6ed92e7, 0x45e9b72a, 0x8d829db8, 0x0082d17f,
+    0x390071de, 0x99f871bf, 0x5406b520, 0xa28ca383, 0x0e8a0c52, 0xcda49498, 0x03ea4a72, 0xf138ead2,
+    0x01a2740f, 0xe8094ac3, 0xa9aa1361, 0xb768bad8, 0x8f96864d, 0xbb5f0618, 0x5c66ffaf, 0xd655cdac,
+    0xeff53e9a, 0x97ce0a59, 0x1ee33070, 0x9e8e567d, 0x720eea93, 0x20cfec64, 0xb28410aa, 0x1b789719,
+    0x63c79427, 0xdbb0384d, 0x369b43c7, 0x34b5337a, 0xd91415cf, 0xf4e6d3c2, 0xb2e43c44, 0xc5b1bb48,
+    0x52b39f03, 0xef8816af, 0x2f2b3df3, 0x8fd86c92, 0x8694abaa, 0x24331e64, 0x0ec628a8, 0x80753257,
+    0x9c4a4dc0, 0x0aa94cb0, 0x15f98c2b, 0xdd787488, 0x7b95faae, 0x72d03001, 0x2ec07180, 0x4c85c192,
+    0xe2f6faaf, 0xaebd1722, 0xaf67bc06, 0x2a59daa5, 0xe723ba18, 0x0f6ed1ae, 0xbf55ac9f, 0xef3da58f,
+    0xd6a3ac78, 0x93c3110c, 0x463793f2, 0xabba0167, 0x62fa6a16, 0x88dcfe51, 0xbd88cd79, 0x087c35a9,
+    0x11d7b16a, 0x9ba58e79, 0x061e9152, 0x62e78d37, 0x0198c6eb, 0x59127672, 0x64135188, 0x15661b09,
+    0x994268a7, 0xce04794c, 0xbd608eda, 0xa6ac63c4, 0x22f7ce33, 0x92b24751, 0x52a9a689, 0x50704654,
+    0xf0127d82, 0x05a8c3f4, 0x282ed842, 0x4af9c712, 0xec3a3551, 0xadd0905c, 0x0a6ea685, 0xe51a845c,
+    0xc101b0a2, 0x2ee7f641, 0x0a82fcb1, 0x8858ac62, 0x5132c040, 0xc7173728, 0x24f360f8, 0xf5a22bb3,
+    0xb9815194, 0x7ae58dca, 0x26662446, 0xb934e443, 0x2329b49c, 0x71499e8d, 0xeee4c6f3, 0x3d861853,
+    0xd0c7b131, 0x2cab327b, 0xf6ef098d, 0x6bc26d76, 0x00f72bc6, 0x341f2d9d, 0xc975e5c9, 0xac31d99d,
+    0x19d7addd, 0x4fc68680, 0x47c6cd7b, 0xc8e422ec, 0xf7fd02b0, 0xf5fa9e7b, 0x449ea7c4, 0xdad62a09,
+    0x84589f02, 0x9694104f, 0xe769b712, 0xdfd74dd7, 0x6eba20d7, 0x6aedfc17, 0xdc06912a, 0x63aff47c,
+    0x72c4b33d, 0x78b15cdd, 0x176c6740, 0x0eeee03d, 0xb030657c, 0x46a883e3, 0xc713f82a, 0xe73a177f,
+    0xec37cabb, 0xbccbbdaf, 0x1e38c550, 0x5356719b, 0x737382df, 0x1cf8e4ba, 0x78a1cf2c, 0x05225bff,
+    0x82aa1eb5, 0x77cbeff2, 0x425e9a12, 0x5a492b9b, 0xb95887c7, 0xb1f6fab0, 0xbc3e5aa1, 0xc44d9e27,
+    0x93d94618, 0x6d988074, 0xf78507f2, 0xf03a394b, 0x4407ba8d, 0x27ec5024, 0x490c80af, 0x120aacf8,
+    0x27a961d1, 0xd6836ad9, 0x23422b92, 0xb0b99e08, 0x5a9eeba6, 0x11c7b550, 0x8f579281, 0x3373250a,
+    0x986219bd, 0x35fdd96c, 0xa8549da8, 0x635b183e, 0x33a17cee, 0x6026ad16, 0x41544843, 0xa139cf8d,
+    0x38b758f8, 0x9ebd2435, 0x082fbe02, 0x5bafa3fe, 0xa9b0f31d, 0xcba7ce07, 0x48973159, 0xc446bc68,
+    0xcd460cf9, 0x7ab43ebf, 0xffa60d1a, 0x05e94b99, 0xf838c5ba, 0xe4d2894d, 0x6509bdae, 0x467d15cc,
+    0x53e9bff1, 0x3b44dd7c, 0xa739ca49, 0xd09da27c, 0x8d9b0b5e, 0x0fe59b81, 0xe0d52daa, 0x5cd6d288,
+    0x172d9119, 0xed3a329c, 0x6531dc01, 0xba4b2c60, 0x59edf5f5, 0xbd120741, 0x36e97308, 0x52b522b9,
+    0x780d47ae, 0x10ca840f, 0xce7f0c6b, 0x887d3b29, 0x0c56a366, 0x551f2912, 0x51043cb9, 0x94164667,
+    0x8eab33a1, 0x1b085a3a, 0xc8a0cc34, 0xd07a9038, 0x3f31a8f0, 0xadc6959a, 0x53a33d2d, 0xb6ee7361,
+    0xf5a4a58d, 0x37e34ea9, 0x4a7bd8b7, 0xf3ff035b, 0xec1577ee, 0x49dcce9e, 0x6ccd55a8, 0xc32dda8a,
+    0xdbef1824, 0xa3e2df26, 0xfd01a4c1, 0xc56f5507, 0x33dc9eec, 0x7ea5e1d2, 0xd222e6b7, 0xdbfa0bb0,
+    0xf63115d0, 0x05afd03a, 0x5bf69c63, 0x5a64db5f, 0x9493e541, 0x8a002374, 0x3b06304d, 0xf617054d,
+    0x95d1ce12, 0xaf15d253, 0x193feae4, 0x363006f5, 0x2c3b90dd, 0xf1d656ed, 0xcd378049, 0x6a5fc612,
+    0x852a1ed3, 0xc68e36aa, 0x98093558, 0x63903ead, 0x13731410, 0x49c2638a, 0x8a99dc9d, 0xa2514948,
+    0x83816c48, 0x15fd9ab8, 0x19f04746, 0x73eb619b, 0x15ee3fcd, 0x991c1676, 0xefad535f, 0x42ff2eff,
+    0xcd8882dc, 0x496623ef, 0xd00641cb, 0x2f1e3dab, 0xa55a3c9c, 0x9f9b06b4, 0xe00f104e, 0x5af573ec,
+    0xde3945d5, 0x4ed10a35, 0xee99939c, 0xe6e54e57, 0x6e971fb5, 0x79a33690, 0xe506c44b, 0x768b167e,
+    0x77f1a217, 0x486362ae, 0x2c2c60d9, 0xc4c150be, 0x4acc2c14, 0x13866c27, 0x5adb372d, 0x2241feba,
+    0x36c2efa8, 0x765ad315, 0xa4a6d483, 0x22b39468, 0x3ed4f604, 0xfaceaaaa, 0x3c86b820, 0x30f4fd6b,
+    0x5de057b8, 0x5ec3a9ff, 0xc517afbf, 0x066fc8f7, 0x7c603064, 0x6e7d545e, 0xbf1b080c, 0x1ff66476,
+    0x923536ec, 0xc0694fbc, 0x1a1249fc, 0x18a904d1, 0x891d2fac, 0xd612ec27, 0x7096379c, 0xec278cbb,
+    0xfbb40a64, 0x5fd44397, 0x0ad90dc0, 0x22f67926, 0xfb1f74d7, 0x20a7c3b4, 0x65eadb8b, 0xb381bd82,
+    0x098b85ce, 0x0d9df12a, 0xa816bf73, 0x7bf0d341, 0x7890d9f5, 0x180b93b0, 0x4653f0e4, 0xb97fe362,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000049252507745493099015348800125179517256\
+                         34967408808180833493536675530715221437151326426783281860614455100828498788352 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3,
+    0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e167, 0x419943f7, 0xa77547ce, 0x8f892faa, 0xd8eb42f4,
+    0x00000000,
+    0xb78347a8, 0x062e34f9, 0x63c03cde, 0xe704962c, 0x2122f33e, 0x1001add9, 0x98cebabb, 0x42d04fa2,
+    0x0deebe20, 0x59c438dc, 0xc6b29758, 0x695cc3c7, 0x3cfcf460, 0x24d985c7, 0x7c755934, 0x2f971349,
+    0xf80f79a2, 0x4bc395c0, 0x5bf5757d, 0x52286561, 0x98de6126, 0xa25918a4, 0x8b8293c2, 0x59af5c03,
+    0x07f3ad91, 0x9a31960c, 0xcb7c7315, 0x07f717d5, 0x5cb3a217, 0x2a555738, 0x7208d518, 0x27730e7d,
+    0xe7bc677f, 0x135c5f5f, 0xdbbb542d, 0x937fed61, 0xe8aec6e9, 0x91f85ba0, 0xc8e2eae5, 0x725af029,
+    0xef861a05, 0x76188db7, 0x516ee609, 0x161729d2, 0x9d5e05da, 0x2ea94370, 0x88b415a4, 0x5f0970d6,
+    0x01d478a7, 0x1da7e23b, 0xeb88ce0b, 0x27824a26, 0x1f283109, 0x4485d66b, 0x20fd8ce2, 0x8245f40b,
+    0x29fec4c7, 0x83d66931, 0x66252e21, 0xb44dd7ee, 0xeaa45c0d, 0xd78a3448, 0x6764c830, 0xbe84b3e1,
+    0x8518073f, 0x86ea4774, 0xdbe6c6f1, 0xa99ba659, 0x116b59fa, 0xe8a1aecf, 0x33b148f6, 0xbca5e206,
+    0x8fd7824c, 0x762c280c, 0x42644985, 0xb76673c0, 0x80cdd12b, 0xb3d336ea, 0xd3415d6a, 0xcb512bbb,
+    0xd939522c, 0x32eba6f1, 0x22aeb97b, 0x48724e01, 0x26650473, 0xef25e66d, 0x3809af56, 0xc6124bc1,
+    0x3c7b42bf, 0xaf135b71, 0x6a6be08b, 0x6aaef621, 0xa6301657, 0xd83f88a7, 0x3615c17b, 0xc782b7a5,
+    0x21cb3ac5, 0x557030e9, 0x3df49cd8, 0x3bae88d1, 0x0b379818, 0x3620a92e, 0x8430f7f6, 0x467220ff,
+    0x38a5d7f6, 0xe94939d8, 0x0dddc527, 0xd517817d, 0x214dcc23, 0xe0e69c20, 0x2340b343, 0x40a2b73e,
+    0x763b2e76, 0x7b2deeac, 0xdc39b974, 0x6ab5cc3c, 0x8158bac7, 0xf92011c6, 0xe67b01dc, 0x05b3a88d,
+    0x96e7a1f9, 0xf1ed3e53, 0xff8d51d9, 0x2d7c9928, 0xe09dc6c9, 0x20e844f7, 0x46bada13, 0x3489c996,
+    0x4482165d, 0x7e6deff2, 0x4b08894e, 0x883581b6, 0xe4d32142, 0x910a7adf, 0x5ec2da59, 0xd05950ee,
+    0x0bb196c6, 0x186653ea, 0xebd5d333, 0x276e3ffe, 0xdc77a7d2, 0x1b9fc411, 0x6acd0b98, 0xc5322130,
+    0x996e5691, 0xc1861344, 0xa1547cb2, 0x7878312f, 0x16712415, 0x90e49fe5, 0xa07e7b5b, 0x15c26a2d,
+    0xeea4e5e9, 0x75f4655d, 0x0b91a92f, 0x4dfad6a9, 0x5bc18544, 0x19f1a9e9, 0x7d37235a, 0xd3ad5eee,
+    0x68cce7cf, 0x1b581172, 0x7e2e9a94, 0x75be3f1c, 0x5c5c3579, 0x45e6dece, 0x792448bf, 0x079c3ec4,
+    0x2c4ef188, 0x38e3b4c3, 0x43d01e35, 0x1db72b29, 0xc5bf8c5f, 0x16070bec, 0x5c3f65a9, 0x97f83a4a,
+    0x6a3a5f34, 0x20bee87a, 0xcd8b1b98, 0x9c45d76f, 0x267a8b34, 0x6e7a47d7, 0x829006ec, 0xb16b9d8d,
+    0x2ac47305, 0xb0c4102d, 0xa1cee30a, 0xde07db19, 0xf22f86e9, 0x4475ae85, 0xa442e445, 0x976c5864,
+    0xa38698a0, 0xc8854b39, 0xc87b2260, 0xfb48d400, 0x3f53d5d6, 0xed8d5430, 0xe84d6e44, 0x5f239a60,
+    0x7a5a17b6, 0x50c58eb4, 0x5cc87519, 0xb5075171, 0xbe9eb51e, 0xae93072e, 0x8d90de98, 0x22dd0e10,
+    0xac766fad, 0xadaae690, 0x2dc61550, 0x2eda0efd, 0xdf3e5b51, 0x766fefc7, 0xe221b50f, 0x8bdb7c4e,
+    0xc531c7ed, 0xb3648b1b, 0x1d3fc635, 0x24db308d, 0x63c41251, 0x9e1c4f53, 0x3a91eac9, 0xc0d9b318,
+    0xc5e47b25, 0x1506cec6, 0x871a2a71, 0x643aef9e, 0xbda041de, 0xc41e401e, 0x1285d239, 0x4be7265d,
+    0xa70bb5d4, 0xb606edf9, 0xb65a3cab, 0xb50eecde, 0x6cdcc0bb, 0xaf1fa212, 0xb5aacd60, 0x1234631f,
+    0xb13b5839, 0xdfcc6be3, 0x55d2d76a, 0xf715a16a, 0x7f8c69cb, 0xdc283f5f, 0x414a142e, 0x7aec1e2a,
+    0x3e1442f7, 0x72995e2e, 0xb2ccaa83, 0x25c6c548, 0x184ec1f1, 0x781d7ee6, 0x498ed41f, 0x7c4fa700,
+    0x598a619c, 0x44d4a9de, 0xda8b9542, 0x233342e2, 0x79ab7ddf, 0x93b1fa17, 0x1f9e04b1, 0x6f64ebc4,
+    0x3e329def, 0xf3b92f4f, 0x74815ce5, 0x89623416, 0xff9c39c2, 0x8d3c1194, 0xdc32e0b1, 0x3f01265c,
+    0x957c6987, 0x71bafb2e, 0x250ade54, 0x51fbd32b, 0xf69cb9f7, 0x750a1615, 0x1b008b48, 0x8d821bac,
+    0x8a052d97, 0x8dc5806e, 0xa1c8700d, 0x5ffe128b, 0x17ad1ecb, 0x3ae8c1bb, 0x3a00b2f0, 0x04ce0202,
+    0xee3dc8be, 0x7fdb9640, 0x963e1d28, 0x6ad52c87, 0xaa0c59e0, 0xc3bc8c18, 0xba25662a, 0x192096a0,
+    0xafaab31b, 0xb9fc40e4, 0xbc4cb8bc, 0x49474c0a, 0xdfd00759, 0x0e51c475, 0x1066f59f, 0x5a5b21aa,
+    0x2281cb60, 0x22f7bee7, 0x77efd5d8, 0xb7576a8b, 0x7d8f2983, 0xfe0b4880, 0x6b3f89ce, 0xed7ba7d3,
+    0x0728c26c, 0x948e670e, 0xb805719c, 0x2c81c1df, 0x30bc8746, 0x3dca03a8, 0xf69bbb9b, 0xd5d3ad2a,
+    0x39225fd3, 0x383b09b2, 0xda6357ae, 0x70adfc5a, 0x22ee74d5, 0x4a445db2, 0x9801c877, 0x9b8ac313,
+    0x775c005c, 0x7b0b6991, 0x234020aa, 0x114b1844, 0xb1a06284, 0x05087390, 0x98ab2155, 0x3025243c,
+    0x1c345150, 0x617082a8, 0x063980ae, 0x40a8c8d8, 0xb1bbc74c, 0xd6b9c95c, 0x37913ad7, 0x640880c8,
+    0xe48805b6, 0x73f6fa4b, 0xa5e9450d, 0x940a270c, 0x8727557e, 0x1e183b43, 0xfc75593a, 0x54198c15,
+    0x3fe45d53, 0x5d3187fa, 0x10261f5e, 0xb056174d, 0xb4356101, 0x55f6a7e8, 0xdb8d3dfd, 0x2b36b9c7,
+    0x0643ec4f, 0x4d1c1ffd, 0x67aad34d, 0x28c75342, 0x3b2d6d88, 0xd553c958, 0x8da166b6, 0xe2d13ea7,
+    0xff89ecbb, 0x8f585d94, 0x976b18a5, 0x928a793f, 0x2ecc2bbb, 0xe6d60e83, 0x3f26d31a, 0xeea798c0,
+    0xa2a14cf9, 0x2c0d8834, 0x440cdb50, 0xd7a6049b, 0xc0a8203f, 0x68b6ad08, 0xb956594d, 0xdd47d828,
+    0x1349f2aa, 0xd5702ecf, 0xab30a221, 0x3cd4106c, 0x209d70af, 0x42e51192, 0xafba763e, 0x2a8c37b2,
+    0x1263b88d, 0xbd27e939, 0x3c8f7b62, 0xa5dfc52d, 0x45dd8d84, 0x296cfe74, 0x30b81abe, 0x0a6dde01,
+    0x9f2ba6dd, 0x3e7eec2c, 0x63475a5d, 0x60b0a2ae, 0x284e17c7, 0xef5222f4, 0xc1726bee, 0xcae68cac,
+    0x3daf52aa, 0xc953714e, 0x25d34ef4, 0xc94e12e4, 0x07d87f07, 0xe1c676ac, 0x83184b1c, 0x1f247e53,
+    0x1309c4c6, 0x80609b69, 0x6aa041ee, 0x18fcb0cd, 0x21c1e962, 0xc02261e2, 0xa510d9a4, 0x14631909,
+    0x75f43a87, 0xed1d0fbf, 0x3484e16b, 0xad9ce459, 0xbfe33b3a, 0xf66581ed, 0x4d2ae1ba, 0xbde91fa6,
+    0x05f147ef, 0xcc2c8033, 0x9a380a6a, 0x8ca4df55, 0xefc6fb61, 0xe71121ae, 0x3f7db623, 0x1b4e8e3d,
+    0x0fdfc17c, 0x11e71a9e, 0x686e1f34, 0x2dbd2a47, 0x5caf6989, 0x864451de, 0x74b0830f, 0x2ec253bb,
+    0x72e865db, 0x2acef544, 0x003be6f9, 0x3a60f42d, 0x202ba896, 0xa7fe7ef5, 0x35d58556, 0x99ee22d5,
+    0x46a89823, 0x0158b1e3, 0x8ab9eac9, 0x0df5852c, 0xda9df925, 0x65c060a3, 0xf6ae5a27, 0x11793a0b,
+    0xf0a2b4b1, 0x81547e1b, 0xaea0931b, 0xcc383a86, 0x2cf27a7b, 0x8a46ea56, 0x93007669, 0x9f8d9e1f,
+    0xcf6aedb9, 0xf805a02f, 0x0f5d1cc6, 0xeadcb3a8, 0xb38be777, 0xf58f2cf9, 0x5ee9cf9a, 0x8fa31372,
+    0xd9f79a60, 0x8fed10ec, 0xdc2d7bbc, 0x8802b1f4, 0xa8161626, 0xe7ca7aae, 0x0814efc7, 0xd590ffd8,
+    0x5c5b35a8, 0xa5a3ff22, 0x8f77cd41, 0xcb300868, 0x26105241, 0x38f7fd3f, 0x323cc5d2, 0x6b82266e,
+    0x9e520d51, 0xc888741f, 0x6e7e735e, 0x3e5b6b94, 0xe2801930, 0x4827faad, 0xe71e4a6f, 0xdeabae20,
+    0xd97de916, 0x56f3f471, 0x1b268607, 0xdf739e60, 0x53379b0c, 0xf754c855, 0xdbc24361, 0x89d23f3f,
+    0x835e8688, 0x6a9000ec, 0x780aafe2, 0xa65dac04, 0xaaca6cc0, 0xcc8748f4, 0xf6b9e657, 0x9259514c,
+    0xafb5da01, 0x692e8a9c, 0x13ba357d, 0x1612484b, 0x79d78ce9, 0x739e8195, 0x05741444, 0xb999f2b8,
+    0x685c2c39, 0xcb77891f, 0x8d4171e3, 0x6d605eec, 0xefc01e2a, 0x3dbba111, 0x5ca6ec62, 0xdc73ff85,
+    0x7f8f8d90, 0xa1326bfe, 0x81bb16c7, 0xb649b271, 0xc11eb89c, 0x9b5918a7, 0x78cfeb35, 0xee63dc4d,
+    0x611e2601, 0x3698a189, 0xec83385a, 0x2fa10c35, 0x75a805e9, 0x38f95895, 0x5f9e1022, 0xeeec06ba,
+    0xae2ffd27, 0xad7cd989, 0x068274d2, 0x272413c3, 0xba14289c, 0x323ef3b1, 0xe7129166, 0x40cdbf97,
+    0x205a0bcf, 0x6ef315b8, 0x2cb60e53, 0x149a86fa, 0x5b5bd047, 0xd7249849, 0xe8e21ed8, 0x0b3a3d86,
+    0x1cd49ce7, 0x37dd247b, 0xfd864582, 0x2567587f, 0xabc08bab, 0xfee6bb85, 0xce379542, 0xe2012154,
+    0xd4191fe8, 0x48a1b3d8, 0x888fb8e4, 0x7c31197c, 0xb189d4d6, 0x421c095e, 0xa98c4799, 0x36378e36,
+    0x42b5b23c, 0x7a46eefd, 0xe1a03d7c, 0x07b2e640, 0xd8c4c71e, 0x3946578e, 0x8af8813a, 0x84d01463,
+    0xcac5cb1c, 0x377cb3fd, 0x7936475d, 0x6f5967e6, 0x7d46ba8d, 0xf31fe898, 0x06ce975a, 0x40166976,
+    0xb742b4da, 0x57ef6b14, 0xf761f3ff, 0xfd1ce593, 0xc38db6d6, 0x5df2a3c9, 0x26357cc1, 0x4faa14b9,
+    0xb3ef8dea, 0x974aa4ec, 0x6cc4d02d, 0xc70343dd, 0x599ef27e, 0x49203f5c, 0xbdda37fe, 0x207adcc9,
+    0xdcaa7325, 0x9fbc3c1f, 0x0ae614ae, 0x999e1557, 0x4ae3920b, 0x00813a10, 0xf8594219, 0xba0ca64a,
+    0x31f31a1f, 0x73b42b18, 0xc15e52be, 0xe16099b8, 0x59734796, 0x389318ec, 0x976d0742, 0xa75567aa,
+    0xbb77a4c7, 0x61f87cac, 0xd83296c4, 0xb0f8d315, 0xbb86701b, 0x3f5c9299, 0xb206caf2, 0x5129f774,
+    0x9868325d, 0x923cd1db, 0x1fa47d18, 0x51e8ab24, 0x93c7c3d8, 0x2b36eaa7, 0xd7c2059a, 0x50ac6547,
+    0xb88552f4, 0xb1a686f6, 0xbfdf8b01, 0x1810477b, 0x1b0ed2b4, 0xe491eb54, 0x2367afa0, 0x1d45616a,
+    0xe4c855a8, 0xb8d9fa2e, 0x8a4654f4, 0x7d050e7b, 0x8fb08cc5, 0x41028025, 0x379cb954, 0xaa6212ba,
+    0x9e5b9d1c, 0x17cba520, 0x6d7f4b02, 0xa5d9b405, 0x806b57a6, 0x37ddac2b, 0x23170811, 0x747e789f,
+    0x3ad6fb85, 0x0f224213, 0xd6a4d2c7, 0x98388724, 0xe4b31c84, 0x730fcbe5, 0xead59b47, 0x71775067,
+    0xd1be11ae, 0x00018692, 0x44b0be3e, 0x0855f34d, 0x5a33489a, 0xa8922e22, 0x60a0d4d8, 0x9756be63,
+    0x2ace7ecf, 0xd7ae898b, 0x9e4d228f, 0x773afa93, 0xf467d7aa, 0xc2a4de38, 0x88900843, 0xf470a341,
+    0x70d1352b, 0xde8cc571, 0xd6b81355, 0xa5c4c5a1, 0xc5492ed1, 0xbe676b6d, 0xb4c4d10b, 0xa7b4453b,
+    0x9c614912, 0x5507500a, 0x4a90f4d3, 0xf774013e, 0x58008f6b, 0xd9fa9883, 0xec106fed, 0x00d18827,
+    0x91ebdc18, 0x6a71081a, 0x4adca7e9, 0x5543a6a1, 0x51b25bed, 0x0c9b16ad, 0x4d274fd4, 0x14853456,
+    0x4916de09, 0x8030c4dd, 0x41fcb298, 0x8feeede2, 0x7135f623, 0xde009cec, 0x03069798, 0x40696f76,
+    0x890f7ee8, 0xea7f36c4, 0x1f582bde, 0xa6cf9c82, 0x0294e607, 0xce6728ec, 0xde89df1b, 0xb9c264fe,
+    0x7c5af3c6, 0x15bc120d, 0x4aa438a7, 0x239e369c, 0xe34a0a44, 0xc605fbc6, 0x90d2e1a7, 0x687f4f66,
+    0xd110ce10, 0x52288dac, 0x28935860, 0xd7cd4f05, 0x672511ce, 0x4a72bf37, 0xdd8e2528, 0xf76e585a,
+    0xc5af0ebd, 0xe529a8e8, 0x7749ac54, 0xd579a588, 0x1d230e83, 0xb1899b43, 0x565581c8, 0xaed5c7a9,
+    0x02034f73, 0xbd4c624d, 0xaa143464, 0x95b6959f, 0x881261f4, 0xbc5a0269, 0x1bdd0b68, 0x5e42d758,
+    0x6d2e57a9, 0xf5dc6b24, 0x9fe9170d, 0xb894f502, 0x3a5f4b49, 0x289ed7e4, 0x46a9a40f, 0xee136391,
+    0x0db9c70d, 0x405f3e4f, 0x951215c6, 0xdb7d5b0c, 0x751e53fd, 0x082e82d3, 0x7148e44d, 0x6468cb2d,
+    0xad3668dd, 0xf67fb105, 0x15647824, 0xb81bb091, 0xff176a3e, 0x03c5cdc3, 0xb288b782, 0xde278389,
+    0xb7962c3f, 0xf6fbf278, 0x5df07e5a, 0x67fc7a42, 0xc423b473, 0x6157ba35, 0x6cc39562, 0x2d6c6525,
+    0x6e9a5583, 0x4cdfcb3a, 0xfd131824, 0x3562a9b4, 0xe520483a, 0x3645b8f9, 0xcf945feb, 0x2ff2624d,
+    0xfcc92a08, 0x1c5fc674, 0xb517bd3a, 0xe6730e39, 0x6b098da0, 0x7ff5c85f, 0xdbbb5730, 0xa655f142,
+    0x4866e1ae, 0x6bc03df0, 0x477400ba, 0x383af273, 0xd30b6fd0, 0x312c8159, 0x1bfda2a4, 0x67710624,
+    0x81d201ba, 0x095418d8, 0x77c5d471, 0x059ab989, 0x7f2b9735, 0xfb8597c3, 0x054f4623, 0xef08c579,
+    0x0b0ad68d, 0x544c7c47, 0x8556d7ed, 0x651c4e94, 0x062cd47c, 0xe2a14711, 0xa75cfc36, 0x0e8ec0af,
+    0xa223fe21, 0xff8f76fa, 0x36ff67ed, 0x76463eab, 0x2bed3de3, 0x643b03a0, 0x79d08982, 0x739c253e,
+    0xda1e008c, 0x8995f9fe, 0xbdc9efd0, 0xc9c2b499, 0xce04aa67, 0x0f7c3ca7, 0x2151ba1c, 0x9f710351,
+    0x95992231, 0x6bac7a57, 0xdf73f654, 0x968efbf9, 0x18b931f3, 0xcfae26c1, 0x7687b3ed, 0x72c3f2af,
+    0x13242670, 0x45e59dc5, 0x746c9b8e, 0x950cd744, 0x6d3a279a, 0x0a77e395, 0x50cf25cf, 0x56171165,
+    0xd1a86e47, 0xde9f29b3, 0x39eef20e, 0xacfce83b, 0x2a3579df, 0xdbcb939a, 0x84ccb375, 0xb3ce9705,
+    0x1ec03f53, 0x41175515, 0x445b005a, 0xaf9c79c9, 0x13229c54, 0xdb0c0757, 0x2db6dd22, 0x4981ba89,
+    0xed2564a0, 0xd51568b6, 0xb0e072a4, 0xfa44f6d8, 0x6b3d34fb, 0xb12d2fd9, 0x7f1bd6b5, 0x1ea4b859,
+    0xb0122464, 0x008cb43c, 0x2fe57170, 0x84bf6d08, 0x9557412e, 0x65b82c7f, 0xa43040b8, 0x658542f6,
+    0x8a846f50, 0x99ea1995, 0x2d9ee259, 0x6304fe09, 0x5b898081, 0x0296e55e, 0x612789e2, 0xc3f1c853,
+    0xe0e4e964, 0x80c89d39, 0x48313a2b, 0xbd49dfd8, 0x76971bd5, 0xaa3f28f4, 0x11e1c3c0, 0x789ae572,
+    0x04babbe5, 0x216db384, 0x7009944c, 0x4f30d071, 0xbf06b0ad, 0xa895e7f2, 0x9f0ca518, 0x924f6dc4,
+    0xcefaa318, 0x0c0595f6, 0x31f37a87, 0x076011d9, 0x9815f22f, 0x53d61cd3, 0x819116f3, 0x4a17cc33,
+    0xc0ade658, 0x7494d48b, 0x49fbaa67, 0xb6013e94, 0x77bdf030, 0x9f97be3c, 0x61a135b6, 0xdf4f5546,
+    0x24dfc67a, 0x3ad5211e, 0x509dab9b, 0x71e4b6ab, 0xfbb69c61, 0x8024ca7e, 0xe62bb665, 0x9b6c023d,
+    0x493d0f78, 0xf4e7d62c, 0xc277c1f0, 0xfc61fedd, 0x1e4f6c61, 0xcd5e525b, 0x56c195c9, 0xf272578d,
+    0x0b4b0c8b, 0xa05e0335, 0x77794867, 0xeeaf7da7, 0xf8cd7878, 0x0a57e40f, 0x942e1cff, 0x30baed91,
+    0x9cc7a27e, 0xe5e5520a, 0xdfed1a47, 0x0eaadbbb, 0x3fe98444, 0xcecfc76a, 0x03d3de4b, 0x1f86cf3d,
+    0x9014a8f6, 0xedb9a5e6, 0xd3c8b9b0, 0x6fde4ecf, 0xe450bfc5, 0xab6d5360, 0x0e829f3c, 0x255c2f8d,
+    0x9a460b8d, 0xba843932, 0x33a0b81f, 0x4c8acc36, 0x6c93dd05, 0x2ae81078, 0x6e08e96b, 0xbf3997d5,
+    0x168dceec, 0x85c248c3, 0x0ca64c06, 0x3fafcfe4, 0xd449d2ad, 0xb9fc773a, 0x4228f320, 0x1d8aec21,
+    0x8ff80a6f, 0xec861bb6, 0x45173570, 0xab26f3ba, 0xb809786d, 0xa5512012, 0xce6348d9, 0x7dfa83cf,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000024626253872746549507674400062589758628\
+                         17483704404090416746768337765357610718575663213391640930307227550414249394176 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69,
+    0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b3, 0xa0cca1fb, 0xd3baa3e7, 0x47c497d5, 0x6c75a179,
+    0x00000000,
+    0xd8bf3e19, 0x119b217c, 0x592aed8f, 0x7ba6a3f4, 0x55a41918, 0xf0ab2860, 0x81cac78d, 0x0c02f54c,
+    0x5e71faea, 0xbdb0f219, 0x9108cc2e, 0x0ff9c616, 0xe4ce202b, 0xf36253ce, 0x0bbbb64a, 0x545d1d36,
+    0x32111514, 0x123f0196, 0x587fa85b, 0x190660bf, 0x91f38997, 0x757673a2, 0x7d6feb9c, 0x21211db7,
+    0x50b0b2ba, 0xe48b9ad3, 0xa965f93d, 0xc5579a1c, 0xf3cb7cf8, 0x47b7bca1, 0x86750d4c, 0xdbbfb4f5,
+    0x3daf4551, 0x86ae2f4f, 0x32d5ef0c, 0x539790fa, 0xc2abc197, 0x192f4eb4, 0xf28d4694, 0x19c4f297,
+    0x2a3f14ed, 0xee0433db, 0x3f89cf32, 0x479d751e, 0x0aac27c0, 0x6c50952a, 0xdbfb86d8, 0x03b6df3c,
+    0xbc884906, 0x743f7282, 0x2b3a7d1e, 0x34ecab01, 0x65424e34, 0x4a2df854, 0xf846158e, 0xdab0c088,
+    0x3e64d6c8, 0x8c2b7f08, 0x615e7973, 0x16b61626, 0x4710b9b7, 0xaf55adaa, 0x54407850, 0xcb8bdd49,
+    0xae893236, 0x7157bed1, 0x4f313997, 0x8f4b7d45, 0xa8dbcba0, 0xe4fe0cd9, 0xae67232f, 0x83ea5c13,
+    0xe8efa24f, 0xc2fec5ce, 0xa5735b1a, 0x8ed52ee1, 0x442a776a, 0xcc1b7b45, 0xfc4b497b, 0xc122debf,
+    0x6d20ed73, 0xee15c913, 0x94e98e60, 0xfd360e79, 0x0a94691e, 0x40f1c714, 0xc69f928c, 0x25c37690,
+    0x687bdf64, 0x7f574466, 0x559a39cc, 0xbe6c12d4, 0x45c321fc, 0x4abcc830, 0x8a9b9482, 0xeee41883,
+    0x29a0318c, 0x4ca5a7f2, 0xc0bfae45, 0xdf701b78, 0x272387e1, 0x88680a00, 0x67b19fb2, 0xdccffb7f,
+    0x432929d1, 0xa7fc8c03, 0x05794d59, 0x8479106d, 0x394d8868, 0xc1997059, 0xf3bb74c0, 0xf429703e,
+    0x2ee86ce7, 0x5e02a08f, 0x67d6cb64, 0x28f44d0d, 0x2a9fe574, 0x307e437e, 0xe6adba47, 0x35f79bff,
+    0x795476f6, 0xebe8b638, 0x192429e0, 0x89def6ab, 0x3b690fbd, 0x5aa54bf4, 0x000c9e71, 0xd20ed74a,
+    0xed4f834e, 0xee21fa40, 0x2d054222, 0xbc451d2c, 0x01fb5a07, 0x33a51452, 0x58bb40da, 0xb02fcf1b,
+    0xe882ffe4, 0x2a6fea3d, 0x2b4691c3, 0xd3887599, 0xa063d914, 0x6e60dbef, 0xb9675824, 0x818a2d5a,
+    0x8d9ad185, 0x6112ef44, 0x0a3fc30c, 0x67912825, 0xf1f30766, 0x3b5622d7, 0x6d28c53c, 0x8b7b07c6,
+    0xb782c136, 0xfd443788, 0x7c61d1e9, 0x53baa9f4, 0xe6b0539c, 0xf8cebc4c, 0x5d79f38e, 0x6b1d6826,
+    0x0ec8838d, 0x8acaca85, 0x458d2971, 0x064af607, 0x082cd0e0, 0x4935b0ea, 0x27bcbc5e, 0x4986f2be,
+    0x4090da25, 0xb71b1aee, 0xe37e8166, 0x50d2bdf8, 0xc9f36329, 0x774f2df6, 0xa1fb1fff, 0x11cfde75,
+    0x78dbd860, 0x6d918095, 0xb8d84f99, 0xdaeab8a6, 0x98b4b91e, 0xd51621d9, 0x899feacf, 0xc0daf3e6,
+    0x7085ac7a, 0xd7471503, 0xe1c7d627, 0x32200927, 0x7f864472, 0xb38f807e, 0x043c2714, 0x3cac5267,
+    0x4b4b0d22, 0x664d65d9, 0xc031245d, 0x4c877c5d, 0xaa8e7a4a, 0x3c53a893, 0xed7b4764, 0x43bb4648,
+    0x41b99bf4, 0x11cc7861, 0xb4307bc7, 0x159c8e44, 0xc75970ad, 0x1deeb87d, 0xdc8b3e25, 0xb4f73669,
+    0x12206b65, 0xfb677bf6, 0x7badd79f, 0xfb28c01a, 0x5432c776, 0x329af32b, 0x673879aa, 0x3938ab1f,
+    0x6ea72cf4, 0xb95a9bd3, 0x49ead4e5, 0x2331ebb0, 0x118c3e66, 0xee26671a, 0x9a74f93c, 0x6c7f22e9,
+    0x713df399, 0x3fdb7117, 0x5fdfb22c, 0xbe5c78d5, 0x0af496b8, 0x1f378596, 0x8333e703, 0x3f859705,
+    0xa5a05245, 0x9d7d2227, 0xcaf5f002, 0xfa6e5312, 0x102f4ecb, 0x800eb4fd, 0xb6a5d8fc, 0x742fad00,
+    0xbe3136c9, 0x74315af0, 0x15d161e4, 0xb4fa3af7, 0xc570dd53, 0xd4a44000, 0x21b9538c, 0xe61c1f9d,
+    0x9fa086a1, 0xc2261f71, 0x0e4df004, 0xa23d979b, 0x892d532a, 0x30a68d52, 0xc77c8cc8, 0x55c262cb,
+    0x9c29f924, 0x9cb410da, 0xb4accd43, 0x4847bcd8, 0xeb88dae3, 0x49380973, 0x3a31aa48, 0x4997a9a8,
+    0xfe47e170, 0x75538557, 0x253bebec, 0xa5ae9530, 0xff1c8d50, 0x1eef9934, 0x0102e089, 0x2d9e94fb,
+    0xa94f6bef, 0xd2175e1b, 0xec9482c8, 0x30cd2350, 0x4eb85157, 0xaf89242e, 0x51001ba5, 0x9d2d1361,
+    0x86508bb8, 0xb4e616a0, 0xaa3acf0e, 0xdac85cb5, 0x85d2daac, 0x469b1955, 0xd74dc2c1, 0xa4461517,
+    0x137bfa9f, 0x1986b8d0, 0x27ce61a9, 0xece116f9, 0x406abebd, 0xeb48d000, 0x3eda94ea, 0x9c288fa1,
+    0xd2333454, 0x4054ac7c, 0x2f8583b6, 0x741d9e86, 0x6cc97c7f, 0xd5b3a6a6, 0xcad84194, 0x5e3eac50,
+    0xe4832010, 0x5ab2fe66, 0xc4e5da69, 0x21c10a7b, 0x9807be96, 0xb09adfb0, 0x3e57b6df, 0xa3684f02,
+    0xcb346a65, 0x0e529f7b, 0x1e94318a, 0x563205ae, 0xb46bfba9, 0x372dd709, 0xa5e8fd15, 0x7359792e,
+    0xe975f0ca, 0x17219f32, 0xf6d8949d, 0x16ae7d4a, 0x2abbd842, 0x41f52f6c, 0x59203222, 0x0943984b,
+    0x206aa013, 0x2cfc650d, 0xd7a6b6a5, 0x3bd5b8fb, 0xac37652e, 0x11ab3253, 0x76de9d00, 0xe29072ff,
+    0xf2963ad5, 0x9c4ef29d, 0x6885ec3b, 0x3506e77f, 0x579b7627, 0x96a7b481, 0x0ccc73f7, 0x297b5fba,
+    0x623e9842, 0x6fb6cb04, 0xf6f85a15, 0x94d63735, 0x6e1723dc, 0x16faa458, 0xb40128b0, 0x4430d6a9,
+    0xb75a3021, 0x6db0db7f, 0x5a49ebd2, 0x7c3cf2f0, 0x97498797, 0x754aab5a, 0xaafdbfcb, 0x67f6b71a,
+    0x93ec7f4f, 0x3b0085cc, 0xeecf49a3, 0x0cf718a9, 0x0e68886c, 0x2bc93bbc, 0x33e51b2c, 0x0a742a6e,
+    0x36f90ad2, 0x80b3940d, 0x78c2c767, 0xf429ff2a, 0xbe7aebc3, 0x05b75426, 0xce5cd4c3, 0x9fb8a18a,
+    0x6ed79df7, 0xa77ae558, 0x24709069, 0xa50e9f6b, 0xcea268b0, 0x289c8348, 0xa02a8afa, 0x5eb460d1,
+    0x3ead90d9, 0x4256a2af, 0x22700231, 0x3d014293, 0x1a9489af, 0x64cc1b93, 0x4f2a3f7a, 0x0a197427,
+    0xcb4bfc58, 0x370074a4, 0x709f87e3, 0x173f645f, 0xb08ccd26, 0x76776bb4, 0x40cac23d, 0x4510902d,
+    0xa9500a9d, 0x456160b0, 0x8d523e61, 0xeb45eb6c, 0xa61f0cd0, 0x4d5d76c2, 0xa0c8ef28, 0xd2a7a5ea,
+    0xe2acfc39, 0x3aa185ba, 0x812bdf91, 0x44738337, 0x43893e23, 0xed26bef2, 0x7e82d737, 0xaf1ecc1f,
+    0x17b9389d, 0x2c9ae33a, 0xe4ca61d4, 0xb479d951, 0x010a796c, 0x4db89b46, 0x9a4ed1b4, 0xf3cc81cc,
+    0x8b276961, 0x21ae7f85, 0x2a51d08d, 0x4148dbfb, 0x133beed7, 0xf5a74c2e, 0x2067e33b, 0xc0ad7f2c,
+    0x4d321f13, 0x86858a15, 0x70674ded, 0x22414fff, 0x8449b670, 0x9a972acd, 0x587153a9, 0x92178de1,
+    0x7b57bce0, 0xe6462a38, 0x9c57535c, 0xa910a492, 0xfa6075c5, 0xcc4b9e69, 0xad38b608, 0x42fb18c7,
+    0x2ab6ed57, 0x0d43093b, 0xa16c4d73, 0xa8fb98d6, 0x389f821c, 0x3b43fc9b, 0xf4187501, 0x920b5a40,
+    0x36b37da8, 0x68ef6a71, 0x39273898, 0x292586a2, 0x28073363, 0x860b27e4, 0xb681e4ed, 0x5ae3e573,
+    0xd5965235, 0xf19dbdee, 0xdecab5ce, 0x15792dcf, 0x47284b0a, 0xcd14d655, 0x85ea6f94, 0x1849865b,
+    0x309f01db, 0x636b69de, 0x0e7c06b0, 0x4dde90c5, 0x504e4e53, 0x6f90d3ea, 0x3988eed8, 0xd835eb50,
+    0xea9e3563, 0x16460444, 0xdefde3b2, 0xb3eb86cf, 0xf304cd5d, 0xd51e3a77, 0xa2ddff1f, 0xf9bf7c1e,
+    0xe24a53bb, 0x5e946134, 0x25532961, 0xd3f0f28c, 0xe8370569, 0x3c99aa9e, 0xe3326dda, 0x04d3be22,
+    0x6db3f1b8, 0xfe2e90e6, 0x0ee4b8b1, 0x1c23893f, 0xb2639561, 0xa4d9be63, 0x39e90d21, 0x2c611d65,
+    0x88db15c7, 0xe75ac8bb, 0x0ffcbc36, 0xd3319da1, 0x515ee080, 0xddaa4bbc, 0x6516d598, 0xdfc3859c,
+    0xbe2e8474, 0xa71e20c3, 0x60fd960e, 0x88f6706e, 0x1ab8c5e8, 0x3c354c01, 0x7f402c99, 0x77e55d45,
+    0xb99a6768, 0x29320184, 0x2a905930, 0x61d1eb23, 0xa49fc279, 0x7cb8a0d5, 0x518d4c2a, 0x08ce87d7,
+    0x18bed394, 0x61e32c22, 0xb607069e, 0x9223fd5d, 0x25638f70, 0x934434c6, 0xc8a41c72, 0x39c5d08c,
+    0xd25eccb6, 0x594b4090, 0xb7cd659c, 0xab081034, 0xea5fd914, 0x5254f2fc, 0xb1c64d90, 0x44527b21,
+    0x217b4e07, 0x2b681e48, 0xfabb954e, 0xdf56cf0b, 0x551f8a96, 0x4e069c67, 0x0aa18f2f, 0xdd1699f3,
+    0x0e33a5ca, 0x8f1935a9, 0x0263977b, 0x5597cbdb, 0x63a21191, 0xd6681ebf, 0x3370d164, 0x14a56bad,
+    0x62ca28f5, 0x4b81e40b, 0x31ddd5b4, 0x9790f988, 0xae2560fa, 0xd146ad95, 0x2cc6e394, 0x39c2fd39,
+    0xc125f3f3, 0x1b04f279, 0xf662defd, 0x61875c91, 0x65f1cd78, 0x58791bd6, 0xfdbb7937, 0x1294893c,
+    0x31ca9a30, 0xf4c05451, 0x700487d2, 0xb5844143, 0x0a164376, 0xfcf0f752, 0xbf57746e, 0x8868b9c2,
+    0x95298b7a, 0x03aaeab8, 0xcde33330, 0xa70086e5, 0x72ad7490, 0x315264db, 0xc88e8998, 0xd3cf279f,
+    0x7de5a3d7, 0x910b8598, 0x8deee7e8, 0x84013797, 0x7411a68d, 0x67a338b9, 0xdcae1d72, 0x2385c50f,
+    0x030c747b, 0x27af5257, 0x0998c908, 0xe365a3f4, 0xe7cb43a8, 0xaedc231d, 0x1cad96d0, 0x5d1381bc,
+    0x9ff34744, 0xc666eab7, 0xd5dc940a, 0x655243fc, 0xca95af44, 0xdb20a040, 0x45b12486, 0x6e1a6a51,
+    0x31e86c12, 0x14fecd5b, 0x61c87e45, 0x67558f67, 0xe62e47ea, 0x76b88e6f, 0xcca4e6b3, 0x26215c14,
+    0xfe54c8d7, 0xaadea6f5, 0x5fce3146, 0xc7e9f162, 0xd2ddf9e5, 0x6bd2cb68, 0xb4de2300, 0x9e34fdfb,
+    0x14f9bf3a, 0x5f0c9bd5, 0xb4994ca1, 0x77f56ab7, 0x67955b5d, 0xf6f7562c, 0xa0da5dae, 0x28e999cd,
+    0xce49674b, 0x087b8cc9, 0x6684c9f8, 0x59718687, 0x4c2e8e30, 0x9d7e9d44, 0xcfe755a1, 0x8b1a5673,
+    0x241876ba, 0x0ee6dcc8, 0xea4a8d2b, 0xa58bc4e0, 0x175373af, 0x63679c06, 0xb2f367dd, 0x0d322ef2,
+    0xad4e2ba4, 0xe5eee4c6, 0xec6bfef8, 0x9a224a35, 0x08bd3b52, 0x4ca00dab, 0xad9f1cc4, 0x31b8a246,
+    0x3f757ed9, 0x651cd79e, 0x2c0d6ef8, 0x0f734545, 0x924bbbc2, 0x7beab150, 0x7d350e41, 0xa06626b0,
+    0x79d8ec5a, 0xdbf41f3c, 0x09f4170b, 0xe4a8e2cc, 0x229eeedb, 0x57d82f18, 0x96b1e249, 0x5de3421a,
+    0x73545d11, 0x6e151d7a, 0xf99b1895, 0xdb0f8ed6, 0x4f274393, 0x2f2a3ad7, 0x9b713ad3, 0x707083d4,
+    0xa28d9aed, 0x94b3dd73, 0x6d80083d, 0xe2045fa7, 0x76eeca4e, 0x8828eca9, 0x7b62473c, 0xe4a4e4aa,
+    0xb7c61a9b, 0xbff1dceb, 0x0dd135da, 0xbddba569, 0x39f6b940, 0x4bd3ee41, 0xe9423944, 0xf162d0af,
+    0x29cc8d6c, 0x0d5e77b2, 0x5c8e21f4, 0x87bacad7, 0x79a17616, 0x1b3bb99e, 0x3fde534d, 0xedc643c3,
+    0x6ae8251d, 0x7ef3e116, 0x52ee714a, 0x987de5f4, 0x24622abd, 0x236938fe, 0xf7790f29, 0x9a173e92,
+    0x14af3579, 0x9b29685a, 0x02dc5255, 0x08859f69, 0xee7f3ac7, 0xcdee1fa2, 0xa4ac3e79, 0xd8edb4c4,
+    0xe6526a92, 0x61714607, 0x3feeb4a8, 0x5ff24870, 0xc24ea944, 0xc399f7d0, 0xcd121fb3, 0x97d35a98,
+    0xb472a168, 0xdf4056ea, 0xe80c66fb, 0xdeda37d4, 0x13a49b62, 0x60117af2, 0xeaf092d6, 0x825964f7,
+    0x97d8493d, 0x8fc1a1c1, 0x3a999a2c, 0x7fbbc506, 0xe22d91ad, 0x36c6366c, 0x8812c9f6, 0xc07da495,
+    0x5458b021, 0xb564f486, 0xe0b926c6, 0xaaf93b98, 0xb9888f1d, 0xa05f9d58, 0xf5678213, 0xcd279113,
+    0x7a1b1892, 0xf08b00d7, 0x765b89c9, 0x8ca220a2, 0x686e8275, 0x0572e46c, 0xa3dcd6bd, 0x0a978976,
+    0x71edefa3, 0xb3ed4cc5, 0x32b2a537, 0xcf24a38f, 0xa10282a5, 0xfde33826, 0x8768de60, 0xcd37270b,
+    0x9ac130d1, 0x8da5eb6d, 0xa04acace, 0x4fec8bec, 0xb63f0392, 0x99b6df66, 0x96a1d790, 0x249fde21,
+    0x2b34e200, 0x0625ec5e, 0xb28c797a, 0x9630026c, 0x15b2e29f, 0x4b547b13, 0xca471202, 0x055b637a,
+    0x73cac715, 0x3f155d5a, 0x99ca98b1, 0xf689cdff, 0xd8d5482f, 0xaf99cd85, 0x4890fc88, 0x1743e016,
+    0x28bf5114, 0xeee49762, 0xc6574cc2, 0x4f0ee7f0, 0x212c74cf, 0xe402a5f1, 0x1322724f, 0xa7123769,
+    0x983a2ce8, 0xc26ab772, 0x995aeff6, 0x412cf8d8, 0x4e433226, 0x1f14c91c, 0xf514148b, 0x139fd9bb,
+    0xd14c3b2c, 0x3148e67f, 0x9abb08d7, 0xabd35e83, 0x736cd24e, 0x8680547d, 0x387e985a, 0xb4d30b68,
+    0xea31978c, 0xd22c4982, 0x99c51d34, 0x7f4294bc, 0x53a9ea89, 0x1c79cedb, 0x8a5bd814, 0xa2fd8618,
+    0x3466d2b2, 0x30c25499, 0xd705fb8e, 0xe2e060fe, 0xc2f5d872, 0x97f2c67b, 0x0c927b1d, 0xc0f21962,
+    0xfbdfd7db, 0x91b4b5d8, 0x785920a4, 0xb1f3f385, 0x23649a81, 0xab67e8df, 0xdabcc85b, 0x415afb89,
+    0xf5534aa2, 0x2d7ad6e3, 0xd9e08192, 0xba4fd978, 0xc5043102, 0x3e445e9d, 0xc424c016, 0x45381e3c,
+    0xef57fd0b, 0xaa3f142f, 0xf92e34ad, 0xf584d20d, 0xa95740fd, 0xd368fd2d, 0xe2672f19, 0xbab42703,
+    0xaca6507e, 0x4ad51d84, 0xfaec06ff, 0xb5fe0fe5, 0xbe24e06b, 0x270834d9, 0xec7511a6, 0xd474f567,
+    0x3c12905a, 0x4294dea2, 0x62c54055, 0xee3179e9, 0xca2ac0cd, 0x3f7557d8, 0x17787859, 0xdb4dd650,
+    0xc537d933, 0x9f9a62c1, 0x232390a8, 0xbc0b56f2, 0xf0bd9d94, 0x10694b6b, 0x459822d1, 0xa3786521,
+    0xcd1cdbcf, 0x11e72677, 0xdf3016f5, 0x4acb476a, 0x6dd77580, 0x712122bc, 0x7e7c6e7e, 0xd44d041e,
+    0x582972c3, 0x448fa0a5, 0xfd240a9f, 0xbd496c3c, 0xe7c07577, 0x27319ecb, 0xcb2a1660, 0xd5f7c6db,
+    0x2755163f, 0xbaf7c61b, 0x8bee055a, 0xb021e4ea, 0xcd349703, 0x3a88d7cd, 0x387b89e0, 0x2a76008f,
+    0xbbf66582, 0xafa9668a, 0xbc6a05bf, 0xf988f064, 0xd5ffd144, 0xbc2dfca8, 0x20e4649b, 0xa48aaf1c,
+    0x7590b47d, 0x8f399743, 0x7950f40c, 0xa71a1659, 0x1da11c5b, 0xab6d6c8b, 0xc59eb5e3, 0x9d0fdb59,
+    0x95535ef7, 0x31d8054c, 0x12aa20f1, 0x6a5fb745, 0xd21e7ce7, 0xce4768e3, 0x70bcbe8d, 0x4f6ee55c,
+    0x17bd0372, 0xa8ba6da4, 0x0aa5577c, 0x3340330b, 0x6b9b1fd8, 0xecf17990, 0x14862423, 0x52e697e2,
+    0xd96c23d2, 0xdccd33b7, 0x5d8695eb, 0x46fce97d, 0xc049b4ab, 0xdba57693, 0xf3e3cde9, 0xf8da3500,
+    0x0339f441, 0x4cad17c5, 0x1331b816, 0xa131c0f5, 0x36225381, 0x7d35aa25, 0x43f57f10, 0xf7655ff8,
+    0x2aac6da7, 0xe0824f5b, 0xea778514, 0x6900f4d4, 0x856215b3, 0x1341b8b0, 0xdedf9640, 0xb4cbe96b,
+    0x92ac7678, 0xdb2a14ad, 0x263a85a9, 0x1d1c9764, 0x1c21e2ce, 0xa5d80048, 0xba5c2175, 0x064d6b7c,
+    0x087f9466, 0x4733e4a9, 0x4cdc3211, 0x9cf76f81, 0x50b9bd3d, 0xb8961315, 0x534f3c1a, 0xe1e9d190,
+    0x37023717, 0xeca0197f, 0xec47c409, 0x200f842c, 0xcb62e8f8, 0xf70ecf4c, 0x493a10a7, 0x8b0fadb4,
+    0xae4ffb58, 0xfa956e66, 0x1ddf4ded, 0x4bfba2c0, 0xc98c1618, 0x5937a8ef, 0x116e3ca3, 0x527a10a3,
+    0x8a2a07d1, 0x871bf1ff, 0x6ccebe21, 0xb0981722, 0xd38df007, 0x98e70047, 0x9606f777, 0xc22df657,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000012313126936373274753837200031294879314\
+                         08741852202045208373384168882678805359287831606695820465153613775207124697088 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4,
+    0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7859, 0xd06650fd, 0xe9dd51f3, 0xa3e24bea, 0xb63ad0bc,
+    0x00000000,
+    0xa6906d29, 0x49dfd2cb, 0x52c28808, 0xfd593e9c, 0x7d1ed8c1, 0xeffbe958, 0x2116cc8b, 0x24ed50b8,
+    0x943a7906, 0xd10ca9b2, 0x38c28203, 0xeeac22e6, 0x00628f95, 0x18d8b221, 0x7e260011, 0xfaedf26a,
+    0x45a0ef53, 0xe6d9738e, 0x5c33582b, 0xf0c94e0c, 0x22e0183b, 0x15f596ef, 0x2d3bcd9c, 0x4c374bda,
+    0xfd75a652, 0x783f78b0, 0xddcdfb4d, 0x2c26a2e0, 0xfbba6e31, 0x61fac6b2, 0xa6d877c2, 0x99d817d4,
+    0x7ff54c75, 0x6a3b60f3, 0xa59656d0, 0xa06fa900, 0xb15e9d17, 0x2386d2c1, 0xcd8de793, 0x92854973,
+    0x4a8d51e7, 0x2c456c93, 0x49b6fb8c, 0x3b0d5e31, 0xb1c690e6, 0xbfd1ba4f, 0x1283f4d6, 0x849aecb9,
+    0x8dcb3b16, 0xde743477, 0xcc91c603, 0x3d387b35, 0x3b18883d, 0xebba9acc, 0xcc2d9afd, 0x4bc34b13,
+    0x0af7da8e, 0x8798a85c, 0x13051451, 0x53b78244, 0x8d4c91e5, 0x29721979, 0xf8d49f8e, 0xf728b96c,
+    0x285d1a75, 0x1e2f9b15, 0xe681c0a9, 0xc39e47d2, 0x1a404c36, 0xb5a93885, 0x208b8d0e, 0x29099ec6,
+    0xad3343ea, 0xafc1e2ba, 0xf88e31dc, 0xb546f912, 0x60181faf, 0x09981d44, 0x4409f26c, 0x1e759bba,
+    0x461a9680, 0x287a58c7, 0x3b636ff0, 0xa013ba8f, 0x8ffbf089, 0x4f273f61, 0x7775190d, 0x121017f5,
+    0xe73a704a, 0xeae7e3fd, 0x6af90db1, 0x5a6101bd, 0xd932e2c0, 0x678acba0, 0x91253aef, 0x85856f7a,
+    0x372de716, 0xdd0fad12, 0x8eed5813, 0x59c022fd, 0x32fadf1b, 0x42c9171d, 0x602d18cd, 0x51e8cfd2,
+    0x7ef31af9, 0xee0e7bd1, 0xbe752cfa, 0xc779700e, 0xdbdd5e63, 0xad9c7056, 0xbe130c3c, 0x73e6d28e,
+    0x1420c9c8, 0x330a183d, 0x462621e8, 0x3e2c811f, 0x8102267b, 0xbf4764a6, 0x917a69ed, 0x2ebba684,
+    0x161d2230, 0x45e4cc4d, 0x7bb8fb2b, 0xdd40b620, 0x2665b1f3, 0xf3c8e0d0, 0xb698daf4, 0x66e08469,
+    0xe18a6742, 0xa5360714, 0xefb4134c, 0x1c8aab34, 0x23430465, 0xcd571ab4, 0x9f39012e, 0x123afc4a,
+    0xf02704cb, 0x0c9279c3, 0xb244ac59, 0xb4105bc8, 0x3bfeaed2, 0x080702c8, 0xb5e17aa8, 0x3e46fdae,
+    0xd991f206, 0x4c9569df, 0xec684f17, 0xe7c2b40b, 0x190c9871, 0x07d516e5, 0xd32811cf, 0x23430d97,
+    0x5d1c9a22, 0xe9acbe4b, 0x35df69e9, 0x8264eda0, 0x83973b76, 0x29a44145, 0xa39d656e, 0x7c2aff34,
+    0xf4debbef, 0x8d4403b0, 0x0e676b3c, 0xd54be8c5, 0x66bb3cf0, 0x9f602eb8, 0x1c3bd8dc, 0x9d6e1790,
+    0x71117aa7, 0x1d36ae2c, 0x0a8b11bc, 0xbb57a4c7, 0xc7e4f0f9, 0xb561dce1, 0x33894a8b, 0x7af8b55a,
+    0x503192c9, 0x8a28f749, 0x66496dde, 0x7d4acebb, 0x6c5eef47, 0x4c2e2391, 0xf825dfb5, 0x6ae2a604,
+    0x55801dee, 0x1a060140, 0xcb939406, 0x8d408b30, 0x38d45224, 0x8f4b4f1f, 0x1480e58d, 0x1020ac2c,
+    0xae52425b, 0x8a5abfa7, 0x792081e1, 0x377add66, 0x6991c797, 0x77e49a23, 0x280b1a5b, 0xd0663f63,
+    0xd3518972, 0x6e6b270a, 0x0fe90385, 0xf876ffab, 0x930e2cf6, 0x808bf5e0, 0xb7fb4a32, 0x18392ff9,
+    0xe13b88a2, 0xaed66112, 0xf1f8cbb6, 0x5da2c375, 0x5eb3e83f, 0xed11eac8, 0x2074665a, 0x4fa3f2ac,
+    0x69127bea, 0xea462bd4, 0x44fd55ed, 0x16df4968, 0x082ff775, 0x99c001a0, 0x6d6509f5, 0xa3550124,
+    0xc0a7ada9, 0x561d5f16, 0x9356af02, 0x81f5b122, 0x8b6f5d7c, 0xc74e122a, 0x0d12a3eb, 0x8c274a48,
+    0x927da309, 0x9505a0da, 0xc243b94a, 0x725d0ebf, 0xf508a86a, 0x5d8156c7, 0x39ce3fd3, 0xdfed0c2a,
+    0x334ef1a0, 0xed3d0aec, 0xfd794dd1, 0x8b61adbd, 0x87c2eda1, 0x4b091bc9, 0x226303ea, 0x4a52b459,
+    0x512e9d84, 0x1837c6e3, 0x978c27cb, 0xf4d93c1c, 0x0eba6908, 0xd1170e27, 0x9a05a893, 0x67c9840f,
+    0xaa61ebfe, 0xdb1cc52b, 0xb8da9ada, 0x578e6ec4, 0x544fcd5f, 0xf4c6ab23, 0xe07a374c, 0x6b097df6,
+    0x45757f41, 0x294b6c6a, 0xaaef91d6, 0xff89cc99, 0xcace7e29, 0xd72b9a9e, 0x00fc3eaa, 0x29df2300,
+    0x2cd15c3f, 0x536d41e0, 0x39b58ddd, 0x82624b52, 0x4fbbae58, 0xddaad30b, 0x076d85ce, 0x444b0cdc,
+    0x28d7dbea, 0xfe93e5e6, 0x7fdb1535, 0x2ad54feb, 0x6ed51ad2, 0x752cc85d, 0x2b04176f, 0x28667d7c,
+    0x949e3c7d, 0xcfa2cd0e, 0xe9d302b4, 0xed1ed09e, 0xd4111ec5, 0x57416546, 0x3fd24bd5, 0x713c855d,
+    0xddd41b33, 0x56b9d88b, 0x1c9a969b, 0xf9375bba, 0xbe129f43, 0xa3c49496, 0x4b3371b4, 0x18cb6f1f,
+    0xc764390a, 0xb07b0882, 0xf6b0a8cd, 0xea3e3867, 0xece125e3, 0x7d31108a, 0xe0d7b37c, 0x92c7ca7c,
+    0x612a59c9, 0xdeccdecf, 0x7250d326, 0x83bde0ab, 0xf0bfee8d, 0x7bafa611, 0xe673b27c, 0x8c8746bc,
+    0x1f872177, 0xeb7da7b6, 0x1f43aa92, 0x954c8a50, 0x6ddf681c, 0xdd7c8aab, 0xa8c12207, 0xd23227a0,
+    0xd19ba957, 0xd0af276e, 0xfdeec33c, 0xa9d4c9dc, 0x8c69170c, 0x92d5cfa5, 0x38e8c784, 0xb6a66416,
+    0x812bc131, 0x4720be0d, 0x1e5aec2c, 0x93510b94, 0x7366a715, 0xa4d63e03, 0x6568c938, 0x4cf04f88,
+    0x9999c255, 0xf304711c, 0x6e234351, 0x09cf1899, 0x00357177, 0x1db6c475, 0x6b16c281, 0x2018d423,
+    0x24ac8ec8, 0x232a7bd7, 0x924da358, 0x55dbe03d, 0x72476b47, 0x1d23fca3, 0x2b9a28cd, 0x4c88e414,
+    0x5e26b01a, 0x95762256, 0x54aeec82, 0x1e941851, 0xcb3c513f, 0xa9bd402f, 0x42547f81, 0x2865bf90,
+    0xc67608da, 0x6af95742, 0xc6cb8c5a, 0xc71520c0, 0xd08fefa4, 0x95d7769d, 0x40036488, 0xbbc5ce49,
+    0xe1535330, 0x612620d7, 0xe2c08909, 0xd50faa2a, 0x5fed810f, 0xc6ee9bd4, 0x9d9b860f, 0x082f38d8,
+    0x8473360c, 0xa0483c7c, 0xc1e16be0, 0xaab44305, 0x07ecf4ee, 0x40cb39c0, 0x4e625560, 0x91f8035e,
+    0x90022e5c, 0x3afd90f2, 0xcd32d54c, 0xf579f21f, 0x60558fb5, 0xceb824b8, 0xbc9f3f6e, 0xd7cc7455,
+    0x8b9eef20, 0xddc8190f, 0xe7b81720, 0x1b4c3d9c, 0x310221c5, 0xe310f74e, 0x3ef16875, 0x17472fe6,
+    0x21e1cd8a, 0xf62b99d3, 0xae6d6c6f, 0xe432f566, 0xf64db150, 0x7e22f9b5, 0xa5d59c9b, 0xd8b6301f,
+    0x04d6bd5a, 0x7040b0cf, 0x6f283786, 0x4b355fbf, 0xc9a964b2, 0x5ebf207d, 0x90c1d090, 0x7b60de8d,
+    0xa18720d7, 0xcc018eb4, 0x91933193, 0xd5836674, 0xd3764547, 0xf84812e3, 0x5187a158, 0xdd53b59f,
+    0x858cff4e, 0x224d3cc1, 0x560ba981, 0x7f0878cc, 0x498413e9, 0x5ffaf606, 0x578bc93a, 0xe3ddc0da,
+    0xc01453fa, 0x97b1417a, 0x32c3b098, 0xc73de774, 0xe1ca8389, 0xc86abc47, 0x64bf5318, 0xa67c82a0,
+    0xc9506161, 0xf2c1576d, 0x47cb7380, 0x746fca1b, 0x6f365410, 0x4575e2ba, 0xa5213081, 0xe134c44a,
+    0x9a8c7aaa, 0x1e05945d, 0x24bf6f1a, 0x73779219, 0xcf3accfc, 0x214d994e, 0xc67b1685, 0x8bfb7890,
+    0xbcca4ce1, 0x9e793125, 0xb4eb6966, 0xe35ec7fd, 0xf0d6c3a0, 0x955f7e83, 0x38e11bb0, 0x46431270,
+    0xd696c2ac, 0x7ad9cc9b, 0xf03631e7, 0xacaf4ade, 0x03617a61, 0xb2c3e602, 0x22fd9dc3, 0x433a345d,
+    0x5aad5bd9, 0x279e25ca, 0xb91af52f, 0xaa468601, 0xcee1cd51, 0x043e9adf, 0x569bcf8f, 0x180cb86b,
+    0xfbf57329, 0x8adbf322, 0x17de30ec, 0x2d186930, 0xf92a0dc6, 0x46c862f7, 0x2ade0984, 0xbd2424c6,
+    0x7f6e036b, 0xc0187849, 0x11bbe96a, 0x1978a6f2, 0xb4be5c7b, 0x102ab881, 0x45b2c759, 0xe594b152,
+    0x79fab4fd, 0xf082fca0, 0x6c929956, 0x80337a74, 0x48f236ed, 0x3e333d6b, 0x311a0714, 0x563eccec,
+    0xb154d839, 0x0e4b4ccf, 0x8fd96312, 0xf0c12467, 0x8aed3ad6, 0x2c7c59f2, 0x04f68bd3, 0x8afbf580,
+    0x85be370d, 0xfc5efb19, 0xf4770cc4, 0xf7a0bf42, 0x8f606b0f, 0x4f97c379, 0x99bf707c, 0x7bddf8e7,
+    0x1205fced, 0x9b8ddd83, 0xcadc5ee0, 0x2c41c683, 0x5e759d5d, 0xa2db4979, 0x36592472, 0xfe7a3f96,
+    0xd94099e0, 0x50f783b3, 0x29fe47a6, 0x802ac12d, 0x27c81a88, 0xf07ff9ac, 0x3d532baa, 0x03010867,
+    0x52134b84, 0x1b7ffe26, 0xca68f8c1, 0xe319ea08, 0xa5b50776, 0xad736816, 0xd3da2464, 0xf570243c,
+    0xba10705d, 0xa8da6875, 0x27888804, 0xc622d4f7, 0xb159a3af, 0x4390808d, 0x47af248a, 0x819e9505,
+    0xcc29f2c8, 0xfb02198c, 0x3a5af8dc, 0x252503b3, 0xb92c1a65, 0x763f3aac, 0xa6b4d0a5, 0xb04b3c0e,
+    0xc360b201, 0x4a9c33eb, 0x307ae027, 0xdc26b2a6, 0xc7cf8592, 0x26060107, 0x4642982a, 0x68503cae,
+    0x9bc4e137, 0x03ac4aca, 0xd8eccdf4, 0x1b52e561, 0x9a22c0e7, 0x1f87838c, 0x528b471d, 0xfa129b88,
+    0xd2e084de, 0x2350e7a0, 0x0d0d6fda, 0xdaafe275, 0x704ae5a3, 0x7b522342, 0x5f4f0a0c, 0xee851786,
+    0x987ba20a, 0x0ef9b1c2, 0xc2a93a0d, 0x6091c98d, 0xaa494db0, 0x46a1f011, 0x6bea977f, 0xea5e4d80,
+    0x7f77d942, 0xb15e5f14, 0xa3544b80, 0x9c7b1322, 0xdaa91829, 0x161c8285, 0xb60af244, 0xbf6de994,
+    0xe69f527b, 0x00694547, 0x4c6d8a1d, 0x8f35d644, 0x1ee53caf, 0xd7648e6b, 0x70328669, 0x0eab1763,
+    0xa6aa6735, 0xa6f856f5, 0x448b1910, 0x83ceb455, 0x4a0de436, 0x0129b1aa, 0x7432d499, 0xa77990dc,
+    0x16a3c672, 0x68e6d790, 0x63b2d8ee, 0x25dd4a3a, 0x0d603f56, 0x0c0e66bf, 0xf39eec18, 0xaef18a28,
+    0x11acb7e5, 0xac8bc08f, 0x2b69d489, 0xbb0924a4, 0x78fddf73, 0x2c3074b6, 0x57917a47, 0x733db2ed,
+    0xfd687925, 0x88c84a05, 0x3df6d3da, 0x9a2ad47b, 0x34798c70, 0x31a1c658, 0x62e52fb1, 0x55e38bf4,
+    0x1ecd0bfb, 0x7fb0428e, 0x5667e1f0, 0xee97ba3d, 0x5ccd8709, 0x3b0a6e5a, 0x43b8ad94, 0xa738486a,
+    0xe95da1e5, 0x72c80aec, 0x94e0ff47, 0x63dd020a, 0x15efba4e, 0x498943ef, 0x5d3357d7, 0x7a9f5660,
+    0x1f8e8bd5, 0xca11a464, 0xaa70334a, 0xa80b84d2, 0x185115fb, 0xd73a7142, 0xfc930436, 0x39e35b2f,
+    0x7f74cd29, 0xc1a1cecb, 0xdc097401, 0xdd8b75a7, 0x071b0802, 0x896fe6f2, 0xa117a267, 0xcfee8b50,
+    0xffab8063, 0x26018362, 0xdf002030, 0x6a586d84, 0x06e2a696, 0xa0fca3f0, 0x37156ea2, 0xe298c60a,
+    0xd7ea6ec5, 0xb6f94b65, 0xd99b1481, 0xad5e1ca1, 0x65efef36, 0x500b4723, 0x72118620, 0xfda2f36e,
+    0xd063f938, 0xe3eb8d7a, 0xb3afeae8, 0x7db121df, 0x6b259724, 0xcf86ab33, 0x0ce6d7d3, 0xc42cf3d9,
+    0xa819f0cc, 0xeacda864, 0xda0d558f, 0xea35b6a0, 0x85771c59, 0xdce2a9ba, 0x2e6722d5, 0x0e506bd8,
+    0x6e603bed, 0xb8adb06e, 0x17ed4846, 0xb67ae506, 0x9b8fc7ca, 0xb12fb9fd, 0xfc3382b2, 0xc4442cd9,
+    0xdd22bb8c, 0x2646a428, 0x11692587, 0xa8827059, 0x414759f4, 0xd7275938, 0xd9b8221b, 0xdd6d804a,
+    0x743fe800, 0x0db04b3a, 0xb9be7950, 0xa40d59d4, 0xaa290b16, 0x074b8bec, 0xff8168f5, 0x75c5f09f,
+    0x57c9e5fb, 0x2ef52739, 0x7cca9a33, 0x2d0bd295, 0x8dd814f6, 0x6df3eb1e, 0xf8dfc5d7, 0xd2d652fc,
+    0x6b3183e4, 0x8b9abd90, 0x112354e9, 0xaaf1a914, 0x4faebfd5, 0xe04fa042, 0x63b8e614, 0x5fc94be5,
+    0xc0669867, 0x31a1c0b7, 0x120c24e7, 0x2f64919f, 0x8ef4940b, 0xe5c47b33, 0x38578a34, 0xb3ec91bf,
+    0x8cfd55aa, 0x5def1e1f, 0x08b7e7fe, 0x5f22776b, 0xc83f51be, 0xe67ef210, 0x9e5d35b4, 0x76d664a9,
+    0xaa381ee2, 0x5c82a35f, 0x9cdee084, 0x47570a97, 0x8928fb21, 0x853ffd50, 0x2b5984d2, 0x50c8db0c,
+    0x31663c99, 0xdf7e1d5d, 0x44838b6e, 0x04466b1f, 0x77811fe9, 0xf0b4cf9b, 0x3cf39ad9, 0x465f3494,
+    0x3f008315, 0x42239ae2, 0xf72b70e2, 0x4463ed4d, 0x5c808c0b, 0xa3119ad1, 0xa3dd8637, 0x4ecc4cf2,
+    0xe4d9a603, 0xb84bc228, 0x87e0f187, 0xf9215178, 0x73d472a7, 0x718ad376, 0xad752e07, 0xab6d9348,
+    0x46e71334, 0x85ae108c, 0xcd53466e, 0xdf275a99, 0xb8097a92, 0x43bc4f07, 0xd9dbf49c, 0x96109cec,
+    0x99ce3dc2, 0x4b8d58ac, 0xf577f6cc, 0x5d08944f, 0xdcbc6961, 0xe69cfe67, 0x2831851d, 0x5f02f2c5,
+    0x3f541553, 0x89e37fa1, 0xd60849e6, 0x884f4eb0, 0x4f42683e, 0x7a2ed39b, 0xe60c8828, 0xe1617d2c,
+    0x53e176e0, 0x138f7e97, 0x6dc33b57, 0xce7f95d9, 0xbc5a8b9b, 0x507357cb, 0x89bfc969, 0xe87ba9b9,
+    0x717261c4, 0x643d865b, 0x17632b87, 0x16725193, 0x4832bb43, 0xcc717151, 0x38d71ca5, 0x66e5eced,
+    0x3c9df8d7, 0xfc63273b, 0x9dc7fa50, 0x49c9e2df, 0xc98740c6, 0x0a6c5e94, 0x452267f4, 0xf39bfcb7,
+    0x1c5a1f8f, 0xb86f90dc, 0x75985507, 0xadb0ddda, 0x342224d3, 0xd7496954, 0x25ce7d22, 0x86272afd,
+    0x3e0cc56f, 0x1f62dd3c, 0x09375c7b, 0x4aa4fec7, 0x124bda95, 0x9f204969, 0x0b113dac, 0x439e1316,
+    0xafe6198b, 0xf11eba91, 0x4a97739e, 0x4f975184, 0x6e515ce2, 0x2a7bb80d, 0xc6e12cca, 0xa1d93d32,
+    0x1e3c2cf6, 0x90601041, 0xb4a65a40, 0x18e2448d, 0x51b98e37, 0x6d8461e5, 0x8b634f03, 0xff68bcc8,
+    0x0969618b, 0x9c6e64af, 0x85ea4b0e, 0x22bdde9e, 0x16fc9883, 0x90ce7832, 0xc66d5ad8, 0xc8eb469c,
+    0xd5dde52c, 0x03172fa5, 0x4be50bbf, 0x78eca409, 0xa059cda1, 0x03b8b8f6, 0x44e00fa4, 0xe44b9746,
+    0x8ae9c55a, 0x977a284b, 0x162626f5, 0x4d9792e4, 0x6ef40e5c, 0xccf416dd, 0xf002d7c8, 0x51afb88b,
+    0xd9e7295e, 0xb67f35fd, 0x225acd25, 0xae88d31b, 0x63941ee8, 0x18f8d010, 0x29ebfb56, 0x7d5b1654,
+    0xce6ac6b9, 0xbb33e99f, 0xe11ae781, 0x6a7a4f26, 0x6180adbe, 0xe2cb0a81, 0xa42c4bde, 0x596b708a,
+    0x707f87aa, 0x4e04bedf, 0x2cd25323, 0x77b50199, 0x27f59d0f, 0x0f8f2c07, 0xa1e83623, 0xf34cfcfb,
+    0x58ec632a, 0x443373f8, 0x61452fb6, 0x1b155b88, 0xa7431f9f, 0xf578b578, 0xff173c6b, 0x7f826708,
+    0x64951915, 0x28ae4563, 0xf8b9f883, 0x880988f9, 0xa2f29a61, 0x432fce8c, 0x3a0785b6, 0xc7f90b03,
+    0x1f0b762b, 0x175fbb35, 0x13085b71, 0x063c0008, 0x1daa18ec, 0xb3087f70, 0x9aad6b0d, 0x8f3cb245,
+    0xff90d467, 0xa13c3745, 0x0f7e8c0e, 0x71d6d1dd, 0xa825d5a8, 0x185928a6, 0xc0ce7e71, 0x4772c0ed,
+    0x2172f276, 0x9a4e9241, 0xe85f270f, 0x58dcda60, 0x0b841bd5, 0x4bbb2906, 0x5ee75b88, 0xa8faa0b5,
+    0xce394fbe, 0x045de42c, 0xdaf3b11b, 0x2213406f, 0x11a1e089, 0x07343406, 0x9483a59b, 0x8dd63762,
+    0x1ce6414d, 0x26b766fd, 0xf1581f70, 0xd2aa8e95, 0xa39141a1, 0xc2254a5d, 0x667ad240, 0x460a6d7d,
+    0xe7622da5, 0x54b6d904, 0x261c41c2, 0x958c0750, 0x0280fff9, 0xca16d454, 0xa7a5ed7d, 0x61664c83,
+    0xf5faacc6, 0x78928839, 0x4bc396dc, 0x6ab6ac5c, 0xaf160fea, 0x224b8cdb, 0x94bab360, 0x8888cbc4,
+    0x221295f3, 0xeef877bf, 0xd4775c76, 0x17ee7429, 0xadd4f7ed, 0xb79e42fd, 0x033130a0, 0x60feebc8,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000006156563468186637376918600015647439657\
+                         04370926101022604186692084441339402679643915803347910232576806887603562348544 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda,
+    0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2c, 0xe833287e, 0xf4eea8f9, 0xd1f125f5, 0x5b1d685d,
+    0x00000000,
+    0xce7ede9f, 0xede21b2c, 0x27ec67e6, 0xbf1d6345, 0xa606f26c, 0xa477cedb, 0x3a12ee33, 0xaf3718f3,
+    0x07a0100f, 0x9066b83a, 0x4c1a32e7, 0xef897cbf, 0xf73c5fc1, 0x1dfb5dcb, 0xca435d34, 0x5a605b59,
+    0xc74f8032, 0x2de65e8b, 0x057f8b19, 0x200700b2, 0xcc938e8b, 0x57d8c696, 0xc50eadd1, 0x3223d833,
+    0xb8b3fa86, 0xdddab883, 0x4ad4eda7, 0xcec2ffb1, 0xa8a158f5, 0x936fea3d, 0xe396d01a, 0xb6048418,
+    0x3de44f74, 0x3f64cc43, 0xf1c18839, 0x13330b66, 0x8607962d, 0x64226c6a, 0xb05c7dc6, 0xaaabd46d,
+    0x50b262dc, 0x4c0f1bd7, 0x94c0d63d, 0xb504fa94, 0x3071b56d, 0x10e034cb, 0x60796afd, 0x27fb18bf,
+    0xa1675e41, 0xfdee7273, 0x61c5639e, 0x137fa28f, 0xa4abb471, 0x9cdd188f, 0x5077ac1d, 0xc60757aa,
+    0xa7f710fc, 0xc7b61da4, 0x79453c27, 0x9cc33eef, 0xa4e5b73f, 0x431f41c9, 0x30531dcc, 0x51b84cf0,
+    0x6698ce61, 0x958fd3e8, 0x0a08b6f0, 0x842b60ec, 0xbcefca3c, 0x072ed6ca, 0x5c6fa704, 0xcbff694b,
+    0xf3e45553, 0x73f100de, 0xb0ef885c, 0x2a5fb6d2, 0xb18c7bac, 0x319f1439, 0xcf2f7e6e, 0x2de4328c,
+    0x4e98614e, 0xfe9d7c08, 0x6f31b869, 0x0b679d83, 0x136ad3c6, 0x9dd69c4d, 0x56815408, 0x5a57c127,
+    0xc36ac2d9, 0xbb62087c, 0xb5a65f4d, 0x95e25cf7, 0x4ef72ecf, 0x7e7a987d, 0x5e1cae98, 0xf0e5f7d6,
+    0xbeb22b13, 0x1bb7f90b, 0x8defbdaa, 0x6697ded0, 0x5d26046d, 0x4985e68e, 0xf9f74db4, 0xe7561540,
+    0xf9c8b1ab, 0x10d71f49, 0xd1c52cb7, 0xeff0db3c, 0x883963bc, 0xc04d78d3, 0x55e2f851, 0x9275f59e,
+    0x0d8b4357, 0x992e0136, 0xb8aa084d, 0x939e0347, 0xcabeaaef, 0xffb047c0, 0x8f9c9d62, 0x1f0730a2,
+    0xf5d5615b, 0x21fb6d5b, 0x53c52153, 0xb43fb4e5, 0x68c79fad, 0x887e2ec3, 0x623bc448, 0x8c9ef3de,
+    0xd6a8c829, 0x4d4c4f14, 0xd774e391, 0x59f67759, 0x84910312, 0x1158d80e, 0xaa671870, 0xc7ac5f2b,
+    0x0584ec8a, 0x6b1c79a6, 0x055e7316, 0x3ae94f5f, 0x80d9b8f2, 0xce386d4f, 0x65e59a59, 0x10a57304,
+    0x38bef962, 0x85764f3d, 0xf2c461dc, 0xae0d6af2, 0x2db41fdc, 0xfc859502, 0x7a7308d2, 0x01e0791e,
+    0x750fa076, 0x471cdeea, 0x5a86994b, 0x834bb2b0, 0x63aef37f, 0xff53fe45, 0xa7018cf7, 0x7257c4ef,
+    0x953eacc6, 0xdee3a6fe, 0xdf94609c, 0x91d66900, 0x58c24f83, 0x226f268b, 0xaf0fe38f, 0x70061db7,
+    0x0bf87dc1, 0xbffa00d9, 0x34f3bf7b, 0x5e800f73, 0xd7c38719, 0xeae49790, 0x0bec7078, 0xfdfc6b3a,
+    0xcc95eccc, 0x2945d340, 0xb85939c7, 0x561eb6f3, 0x857a10c9, 0xe076ab65, 0xb9872aa3, 0xdce1c0a2,
+    0xd689f689, 0x697c3149, 0xc78d5ace, 0x9de5674f, 0xb07aa8eb, 0x64b69478, 0x630542b0, 0x2cef1ed8,
+    0x96c61b18, 0x3c019286, 0x7c13fd56, 0xfe795832, 0xa6132341, 0xd848759a, 0xae0cc470, 0xae34f3c7,
+    0xcf68f3d7, 0xa526b50f, 0xddcc4b07, 0x3801a094, 0x7434c5f4, 0xb3130d59, 0xfabbb693, 0x13fb9273,
+    0x1bf5ff8d, 0x54694df1, 0x6d4962b8, 0x04300ebf, 0x9087021f, 0x6d03c083, 0xdc6bdb9c, 0xd28c7037,
+    0xa423fe18, 0x9df05235, 0x365e00f8, 0xefe18fd4, 0x6b8ce760, 0x167a9b16, 0x8fde00f0, 0x5093fc5d,
+    0x01c984c3, 0x9232efd1, 0x274f5897, 0xd46cb7a0, 0x95a7feea, 0x18da13c5, 0xeb149e30, 0x15705038,
+    0x11ba5498, 0x6dad2421, 0x7928310b, 0x5636951e, 0x60e0f87e, 0x4f989878, 0x556ad61d, 0xf10476f5,
+    0x9321c23f, 0x801f4b64, 0x47898c53, 0x1762f4a5, 0x54bf2dd5, 0xd34c8678, 0x1874a7dd, 0x7b2b242c,
+    0x316a9861, 0xcff3a99a, 0x1974d9b6, 0x681b4648, 0xef71042a, 0xd52011a0, 0xd0270cf2, 0x8149b818,
+    0x611d1600, 0x8bc2cb35, 0x15e7e903, 0x44e7e27f, 0x6a704fd7, 0x62845904, 0xbac1b0e0, 0x3d35bbff,
+    0xa18ad397, 0xa1972e86, 0x870003d5, 0xf0f0c149, 0xb98d2a3d, 0x9c5f91be, 0x9aa456fb, 0xc759a76c,
+    0x4379f10e, 0x9fdb8c0d, 0x2c97aecf, 0x51c96b55, 0x5e448c3b, 0x07438bc1, 0x473f7456, 0x2572b6c6,
+    0x526c2fac, 0xfabd845b, 0x9be55743, 0x5767e51f, 0x5dd57128, 0x36b34156, 0x8ebc253e, 0x50655a62,
+    0xaa0665ca, 0x6f356016, 0xfe891de9, 0xec68e9a5, 0x479be1ee, 0x0135bad8, 0x5e754f3d, 0x9311bf19,
+    0xca2d4b8e, 0x7909cffc, 0x95357dc0, 0x4adf4490, 0x82617ace, 0xf359ecdd, 0xde848900, 0x7cfb4685,
+    0x52ecfce6, 0x57274b69, 0xa8503d12, 0x96a17aa5, 0x390a45b8, 0x4a6772ce, 0xf9da783b, 0x91ff45d1,
+    0x1b199068, 0xb67a8b1d, 0xfdf835da, 0x8d2fdc71, 0x03dc7ef1, 0x56b72aef, 0xd1f96d1d, 0x2e184991,
+    0xba245145, 0x9130fe04, 0x486918e6, 0x6003b159, 0x98702405, 0x0e388a41, 0x5aa87482, 0xb19ab5fb,
+    0x2980ab9f, 0x5aebf52d, 0xd489ef8b, 0x654e2772, 0x07bff56c, 0xbbd9961b, 0x793d6174, 0x057c87b0,
+    0xb76e005e, 0x0bc60c8e, 0x9cc29a43, 0x974a9515, 0x83d27dae, 0x049405bc, 0x5cde01a5, 0xbe86040f,
+    0x8325433a, 0xbe058f5c, 0xd8ab6c71, 0x76685847, 0x04b7907f, 0x10fc7dc7, 0xa8316d29, 0x59f020b5,
+    0xc719dbc8, 0x2c0b3cc7, 0x32020c0b, 0x577fd154, 0xf9d5d389, 0xffb39d4f, 0xdf43ca80, 0x5cc952e2,
+    0x706d30af, 0xa8a8bf30, 0x062852e9, 0x318c1709, 0x62624e6e, 0x58ca4d0f, 0x10d0d409, 0xb58e8b2a,
+    0x0c889004, 0xc484ca08, 0x58e6c84f, 0x7015726c, 0x56467deb, 0xf025f97e, 0x85ab8da9, 0x8d06eaa5,
+    0xe219ef7e, 0x38926363, 0xe8611b2e, 0x98732bba, 0x90be261f, 0x5373707a, 0x8a84c0b3, 0x4741159b,
+    0xc26bac1b, 0x98c9ece6, 0x1b5353e6, 0x70d25fa2, 0x1b150e8f, 0xf6beec36, 0xbc1857b9, 0x237fe4e4,
+    0x4e225851, 0x8f92d16a, 0xa186f5a3, 0x80364790, 0x5e0334c2, 0xc92264f3, 0x2efacffc, 0xc263d713,
+    0x559f64bf, 0x3e5b68be, 0x4c57dfdf, 0xf596374c, 0x2aacefc4, 0xbe87544a, 0xc31313fb, 0x2a7a6534,
+    0xc0fe9b4d, 0xfedb903d, 0x21ce8b50, 0x284d0629, 0x332dbc9e, 0xc2490732, 0xf9f6ac4a, 0x46c91bcd,
+    0xc991bc59, 0xa4fc4bb8, 0x2a7ffa34, 0x5110150b, 0x5c0ec652, 0xbf21c3ef, 0x4f66a7bf, 0x0692193d,
+    0xd0bf94e7, 0x7612149f, 0xa4629994, 0xab22dd5a, 0x24ddac54, 0x049f3da0, 0x3c57b568, 0x94e56d9f,
+    0x3b52668c, 0x64403840, 0xa4e69f48, 0xa5b7da6d, 0xf526f77e, 0xca0d1ae2, 0x72916092, 0x9a4b84ee,
+    0xe34ff4b4, 0xad68eaf1, 0xcfadce15, 0x8253f83b, 0x03910803, 0x5b573da4, 0x11462859, 0xd75672c2,
+    0x2852cafb, 0x94110ed5, 0xafbaa05b, 0xcdf2aac1, 0x3dd1c6e1, 0xc23efb9f, 0x30030600, 0xf48f30d0,
+    0xeea7a4ec, 0x84615bc6, 0x387380e1, 0x8de063ba, 0xaee23fad, 0xca24b4d0, 0x2c28b9d8, 0xd6e9f478,
+    0x1127dd76, 0xb4119503, 0xe82e83af, 0xbdda280c, 0x0233c159, 0xd0bde543, 0x4c532a95, 0x1385af6a,
+    0xdbe9fdd3, 0x4c729c82, 0x950779be, 0xa0d8fd89, 0xa40f7893, 0x6f4af08a, 0xf33e39b0, 0xc3059e9c,
+    0x2fdba2bf, 0xae892adb, 0x0c410fb6, 0x85c2fc02, 0xd70b87fc, 0x2f05cd40, 0x48cc10fd, 0x0b01e5a7,
+    0xcaf2d64a, 0x038e5bcb, 0xed159b4d, 0x9ce9337f, 0xc25f802b, 0xdf662eb7, 0x36d59628, 0x38264137,
+    0xbdf6bfe9, 0xbbbcac48, 0x6667ade3, 0x5581dfe8, 0xe072ed83, 0x7b5e1b4b, 0x6bf0fb95, 0x273a2975,
+    0xa6518a1e, 0xc735f28c, 0x776c42b5, 0x30356202, 0x90928157, 0x2cfad30f, 0x77ba196e, 0x27802556,
+    0xe7d5068d, 0x49537a54, 0xf4d0a462, 0xfca675b9, 0x609a607b, 0xa27ae341, 0x5b512504, 0x6d80452a,
+    0x59f48a85, 0x5d21eb27, 0x570d1eec, 0xaf432d28, 0x53865fb8, 0x721df5eb, 0x503b1b88, 0x5b49ca2c,
+    0x8418d6db, 0x4f93909d, 0xe8ab29d3, 0xd4427f7f, 0x7b248534, 0x337966d3, 0xac2f509a, 0xab91689a,
+    0xabfe7e2e, 0x53613519, 0x8bf78851, 0x0e744cc1, 0x1d59e250, 0x674e9cc6, 0xaba8ae6c, 0x72ae4e6c,
+    0xd2605247, 0x9b4aef42, 0x6fdd0810, 0x38558f35, 0x55cd2438, 0x069480c9, 0x5a812c43, 0xe52ac2ab,
+    0x78613632, 0x09cdd153, 0x1ca24e7c, 0x8cadb784, 0x3fee8033, 0xad841e1b, 0x61a5abb8, 0x5708acf0,
+    0x4d74251e, 0x43b8ba92, 0xd395eb90, 0x0f81cc5f, 0x4a672be4, 0xa7b2ca5b, 0x79c3c515, 0x1851abc1,
+    0x5ddde83e, 0x2a519630, 0x8452d4d6, 0xbab7200e, 0x220ebcf7, 0xf01d35a3, 0x9328625e, 0x120a46b5,
+    0x29e67040, 0x257a9671, 0xd9d8105c, 0x5f8b4e91, 0xc2224913, 0x8b9561a8, 0xfa62245a, 0x4759bc51,
+    0x03d592f6, 0xfc981d16, 0x922782d4, 0xfe723dae, 0x98140cd6, 0x8df0cfc5, 0xfb10c23a, 0xc747d958,
+    0xb56dcec2, 0xd22c998c, 0xa51a7b0c, 0xf33840ff, 0x0e5646a1, 0x251d3b49, 0xa92f90fa, 0x84a7252b,
+    0x90456836, 0xef22169d, 0x4265a1da, 0x0cb25f3e, 0xc86d4cb6, 0x4662585b, 0x11aab249, 0x64357196,
+    0x12080841, 0xacf5240a, 0x6043c0a9, 0x6bd9751b, 0x55f76c37, 0x962388b5, 0x572cf132, 0xefed301d,
+    0xb108afaa, 0x56e40e95, 0x48d78327, 0x13e374b6, 0xf785ca6f, 0x0873532e, 0x34845d09, 0xae89bdc2,
+    0x9ab21901, 0x2d49cc27, 0x07a9d2ae, 0xf23c54fe, 0x1fc0dcd2, 0x307b4c5c, 0xa0b3b97c, 0x686b0fdd,
+    0x3ac508b5, 0x9268418c, 0x3e9dc8e2, 0xce4c8f3e, 0xb9c70ac1, 0x7adc1255, 0x50a016e2, 0xb6c32fa1,
+    0xff6284f1, 0x501ae4d3, 0x0d0eec9a, 0xc7b49c90, 0x2dfcda3d, 0xeae55963, 0x79d48600, 0x69826316,
+    0x24629d08, 0x0cde659f, 0xe664bf2d, 0x71a508ab, 0x4900907c, 0xb68a5456, 0x9adcb3c6, 0x980fa8b3,
+    0x613a4051, 0x7c413a59, 0xd69b34c7, 0x31aba89c, 0x860aaefc, 0xb6988739, 0x01e1b2bb, 0x0eb12846,
+    0x893620e9, 0xf0e1530c, 0x5459f9ce, 0x4076f3ec, 0x30af615a, 0x9d3b7430, 0x43a567d7, 0xe1db7886,
+    0x46284b57, 0x34b48838, 0x7bb38320, 0xa757eb7a, 0x03692385, 0x8fc64139, 0x655fbec6, 0x6e843c87,
+    0xb3a0dec2, 0x62e171b5, 0x69f9ce5c, 0x56acb41c, 0x94888dce, 0xe0008e41, 0x65d3bbfe, 0x89f199df,
+    0x25b21810, 0x3e98158d, 0xae9f0325, 0xca901813, 0x38b7bedc, 0x48d7606b, 0x702c2760, 0xb5f05ebe,
+    0x64f6ebaf, 0xb1b2246d, 0xf9ec557c, 0xfa1e492f, 0xf77e8975, 0xbd49de8c, 0x3b07c149, 0x71754a11,
+    0x26be9117, 0x45f86b24, 0xd2d07551, 0x01351f09, 0xc0ea4b48, 0x3fb47365, 0x608986d5, 0x169f5f6a,
+    0xe433dd60, 0x31477039, 0xc3af68f7, 0x44b67f7d, 0x30c0215d, 0x22d4c0d5, 0x27b377a2, 0xb73e2723,
+    0x7cd1c00f, 0xb3239e57, 0x4561085d, 0x4ab3b5e7, 0x3f7c36c9, 0x96f0a6c4, 0x76a405fa, 0x4086896b,
+    0x0bcd57ac, 0xbd0a7a82, 0x938ce04f, 0xc2a02238, 0x0e262a51, 0xab844f7f, 0x0cfbdccf, 0xc2c13ed5,
+    0x2e34047d, 0x99090fd8, 0xe063d3b3, 0xad82aa21, 0x40a29043, 0x33e094b1, 0xa63e7d2d, 0x16f628e7,
+    0xe4036a65, 0xb558a347, 0xe3b18dbc, 0x19ee3671, 0x294c0362, 0xb796a1a2, 0x973af7cd, 0xbce9a922,
+    0xe6897634, 0xc3b3a190, 0xa0df8ae0, 0x0b8b6881, 0x7c133731, 0xbf5cf445, 0x51dec35c, 0x406b6820,
+    0x61b30b7f, 0x33559709, 0x3cae07d8, 0x7ac34bf4, 0x9be07b89, 0xf96965e7, 0x32d33a3e, 0xcbf32b91,
+    0xea15e0d8, 0xbd8b881b, 0xdf31898d, 0x7f299b68, 0x3cc6d5f6, 0xbe2b7b1a, 0x87f50d12, 0x984aee37,
+    0x3b036091, 0xf9500cda, 0x9be54be7, 0x5e5a3d1b, 0xcf62ec1e, 0x890915a2, 0x6893d4d1, 0x68e8b9ab,
+    0x15628a2f, 0xd0a32404, 0x06b23283, 0x5c11c494, 0x5258141c, 0x597abeb7, 0xf7868441, 0x8820ad21,
+    0x77dd5869, 0xecc8a061, 0x51366242, 0x3fb8029b, 0x5cdcb314, 0xf8ddb51c, 0x5fbf9a04, 0x8dec943c,
+    0x8b79bfea, 0x6e666a87, 0x6938efde, 0xfdcaa0da, 0x4a28b7a1, 0xbfc61175, 0x54f8ebd3, 0xe09c27fc,
+    0xa0f22e1b, 0x173eeef7, 0x717e6224, 0x462e81bd, 0xb94a0b30, 0x9a4629d7, 0xe9cc38f6, 0x47cc3745,
+    0x273c9b12, 0x0e1224b7, 0xadd0153a, 0x55ec0ba2, 0x56d4f5bf, 0xb1e4e872, 0xf1958290, 0x92cd2829,
+    0x69861a50, 0xff0ad9f4, 0xbd0c1012, 0xc118896b, 0x3cc60bc1, 0xc1cb0d4b, 0xf14bd9d4, 0x22487c1f,
+    0x7023ba84, 0x3a6740c6, 0xb7e7673a, 0x58f13f8a, 0x94473988, 0xcc24838b, 0xdfc60cbf, 0xe90d94ae,
+    0xc60a8cdb, 0xb35f6062, 0x3883063c, 0xdc5d535e, 0x4569f3c3, 0x1b7024ff, 0xfeefd1d6, 0x77611036,
+    0x31fd54a1, 0x0d48236e, 0xa546187c, 0x3de69084, 0x6bd7459b, 0x492b720a, 0xf54d20ff, 0x3325077c,
+    0xbd37d626, 0x47ea96f9, 0x03cec82b, 0xea52f7e5, 0x665879d9, 0x521a44e5, 0x22e3b206, 0xb2605fae,
+    0x30f98bfc, 0x33279dc3, 0x805346a9, 0x9f3fd676, 0xd7918a88, 0x9555b8d0, 0x406894e0, 0x48fa55b8,
+    0xdef5ac36, 0x0874f105, 0x15a6a281, 0x71b451e0, 0x600276b9, 0x6104a645, 0x92a48eea, 0x604c3ecc,
+    0xfef90c1a, 0x40b39342, 0x3cdeacdf, 0x3ebe58b9, 0x76c9fe67, 0xddde9049, 0xdebfc2b4, 0xa6e2ea7b,
+    0xe0f5690a, 0xaf94958d, 0x1e524d44, 0x3b73eb13, 0x9d298bc1, 0x8fae4fd4, 0xa47bca70, 0x3ad393b8,
+    0x6e890cb0, 0x93d3ee29, 0x35647ebd, 0x95ee662d, 0xab11c5bd, 0xf87d495e, 0x61026133, 0x000ed4df,
+    0x10230012, 0xdce7da9a, 0x3593df08, 0xeff996a9, 0xdcf3b42d, 0xa08ea6ba, 0x6144fbe6, 0x176e4326,
+    0x03162e9f, 0x16769441, 0xb250cc3f, 0x5801739c, 0x3695f4ef, 0x367ebd58, 0xd6d0117d, 0x658af7af,
+    0xd4a12e24, 0x587aa639, 0x9771e94a, 0xd02899b4, 0x36378604, 0x8de12694, 0x70624b17, 0x4fec3b50,
+    0x32d1e33e, 0x4af87657, 0x1fa7523e, 0x9653a23e, 0x68fcd76d, 0x31baf831, 0x9e009f87, 0x7b715ca7,
+    0xe51ee09a, 0x3a8f19a8, 0x5c41996d, 0x10bd1467, 0x002b425a, 0x484eaa67, 0x1f911a3c, 0x42c7fb9e,
+    0xae160191, 0xb19dd113, 0xce96fa30, 0x769b42fb, 0x19fb2775, 0x5ce793d8, 0x30308915, 0x7935c19b,
+    0x8aa53303, 0xd65577b7, 0xd6ed03d3, 0x769195c9, 0xb4c4c376, 0x58d54bd1, 0xbb777d04, 0xc029f23d,
+    0x46991414, 0x1029a588, 0x71621315, 0x096114fe, 0xaa888b1b, 0xe531205a, 0xa6961949, 0x0f556881,
+    0xb32168c6, 0xa0be5446, 0xf8c8a7f6, 0x8d947797, 0x797e5900, 0x0b715f59, 0x920fd57d, 0x53c81f42,
+    0x17ba9d57, 0xebe436a9, 0xded8f29f, 0x6d4a4e11, 0xadbceaa2, 0xabe16ebc, 0x2b1b5a15, 0x49fc4ec0,
+    0x3d024484, 0x6ab1b168, 0xea64b903, 0x30cd3ccf, 0x8919a7fe, 0xff1667d6, 0xcedcee4c, 0x95845bea,
+    0x03243a3f, 0xac4a78e5, 0xdd45e6dd, 0x3c7e37d3, 0xb705adc5, 0x20c4116c, 0x7d5050fa, 0xa0e897aa,
+    0x22fcd9fd, 0xab1c83e0, 0x1bb0410e, 0x460898df, 0xe964b420, 0x7267c36d, 0xe7aff463, 0x46958388,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000003078281734093318688459300007823719828\
+                         52185463050511302093346042220669701339821957901673955116288403443801781174272 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d,
+    0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e16, 0x7419943f, 0x7a77547c, 0xe8f892fa, 0xad8eb42e,
+    0x00000000,
+    0xa293d549, 0xbc7d7891, 0x35e7cc5d, 0x34873de2, 0xa6a52676, 0x38c60fc7, 0x75c8b138, 0xb2d43d8f,
+    0xa4462055, 0xda423853, 0x9147855f, 0x7a4f9fd9, 0x3a07f8c2, 0xe11b84c8, 0x97549475, 0xbad8775c,
+    0xa8c65a20, 0x28d9c958, 0xd61e00e8, 0x3676457a, 0x22de3e46, 0x8ab2980e, 0x792a47b4, 0x51a02493,
+    0xfced7cb6, 0x3e5c3218, 0x17f1aa0f, 0x9e79b6be, 0x13c57e71, 0x941a12d0, 0x6a59441c, 0x0e6d36e8,
+    0x3161e996, 0x7c997c42, 0x3820b3d9, 0x469339dc, 0xe38710cd, 0x86460ce4, 0x2cc1ddbc, 0xcc25c62c,
+    0x2e33f36b, 0x4a6cbdbc, 0xc9daba7c, 0x109bfea8, 0xf7b29533, 0x8da89cb4, 0x10afd894, 0x1dfb082d,
+    0x36304923, 0x9cd04a7f, 0xe324d57b, 0xb513e8bc, 0xe6f54f01, 0xaa084a11, 0xc3657ed0, 0x6b0101e4,
+    0x134c34ce, 0x9455fc94, 0x9f327faf, 0xaadf9d39, 0x78ef2ee0, 0x2d93cde0, 0x840a00a6, 0xebf4bc20,
+    0xa70fba5d, 0x28bc7f63, 0x31df51b9, 0xf2a26bc6, 0xf48a7714, 0x3974986c, 0x707936d0, 0x150c77f5,
+    0x7501abf1, 0x3e8307ef, 0xa99c011b, 0x83b970c9, 0x03540c1a, 0xf69ad1e8, 0x709589cd, 0x7b8225ef,
+    0x6483fcaa, 0x6306f82d, 0x2f21c097, 0x834d868f, 0x8edbc9d7, 0xa92a5fdb, 0x15ea5eed, 0x29898d32,
+    0xfc1e4306, 0x2fb36808, 0x03dee86f, 0x227434f1, 0xf61c9714, 0xbee903fa, 0x4af60667, 0xd661e6e2,
+    0x4601d3d9, 0x7df80bad, 0x81839e1b, 0xe60a4560, 0x4cbd67c8, 0x9754039c, 0xe7275acf, 0x52d1fbbf,
+    0x8a2fbdc0, 0x2201bb86, 0x6fb95cdb, 0x492a7615, 0x6cd15134, 0x6f68a336, 0x4fd1dd70, 0x57c3c4fa,
+    0x5da1e911, 0x3fcca948, 0x589bdaa8, 0xd303010a, 0xbc2a18b4, 0xb68c7e2f, 0x8ee81dc0, 0xe4f7013d,
+    0x3bd74cc1, 0x372b58e3, 0x16fe68a9, 0xe0fd2709, 0x0b8e0f11, 0x623badde, 0x9219d591, 0xb121b44b,
+    0x25566611, 0x1f2beff9, 0xe9b53b9b, 0xf4563c3d, 0x06990ee1, 0xf6b2f97d, 0x7983866a, 0x291d67a1,
+    0x9cff2001, 0x18f53de2, 0xa1a6f4a3, 0x9bdaf647, 0xbd01465e, 0x807aa16d, 0x36f2615e, 0xb6be6cfa,
+    0xec5ca04a, 0x381fadbb, 0x917f22ee, 0x1c0374f1, 0xf5bf74ab, 0xc34a561a, 0xb8f097a3, 0x6f1293e6,
+    0x27f77ac9, 0x338958f8, 0x6205b6ea, 0x3ecdfbb3, 0x12fa0e58, 0xb090e89e, 0xaf4cadd0, 0xf10bb722,
+    0xf4e2799b, 0x42ce5eae, 0x79812f81, 0x04e5430a, 0x5a93b9a4, 0xd772b9be, 0x75e81b6a, 0xb953b985,
+    0xda8ab8b5, 0xb2e44e52, 0xcf4ed855, 0xdfd34541, 0xf6b69523, 0x1030230f, 0xc74ecc18, 0xe4927806,
+    0xb11c7484, 0x8af0c004, 0x2811d8b6, 0xf11e1ee2, 0x22050c4f, 0x69c10d28, 0x05645173, 0xa1753f67,
+    0xf7d7673c, 0xdc711ec1, 0xfd84bca1, 0x219d9df0, 0x4d5a4bef, 0xcae1540e, 0x107e8e86, 0xb490e2f9,
+    0x252b7313, 0x673147e8, 0x241fb6a0, 0x03f5bb73, 0x6a370108, 0x7d4684c5, 0xe8e37769, 0x42edeb46,
+    0x211abeb1, 0x072f1965, 0xce8fefd5, 0x2dec71d5, 0x077c02f6, 0x1110f698, 0x4f6dca37, 0xd362fe0d,
+    0x116b5f79, 0xc20f1611, 0xd3285324, 0xcfa2332b, 0x0fd289c3, 0x66c2033e, 0xa5bf3dec, 0x1e077665,
+    0xe96d9a96, 0x77abf80a, 0xd40e4ba5, 0x4a4ab7d3, 0x9003747d, 0x064202df, 0x666c877e, 0xc1b98d6d,
+    0x9b5e3fbb, 0xbdc8ebd2, 0x167aff3d, 0x6b024054, 0x4a318192, 0x2b932d31, 0x2a19a1dd, 0x7909d1ae,
+    0xa5febf4e, 0xdfceab86, 0xeccbd2ed, 0x686b7de8, 0x4c9fc211, 0xd80aff3e, 0xc73b196c, 0x9c191f1c,
+    0x83a06951, 0x83ba058d, 0xe321c034, 0xe9ffcdae, 0x9dd5acaf, 0xd89a226b, 0x504ed2bb, 0x324f474d,
+    0x098cbac5, 0xe7409671, 0x59c0598b, 0x0184ad47, 0xb61951e1, 0x586108a4, 0x5c583e52, 0xb04c3f5f,
+    0xa9373f65, 0x7a03142b, 0xd2a0cdfa, 0x24ac2767, 0x9d6da680, 0x23ea74b2, 0xdcd03ec5, 0x18f472b4,
+    0xde64f09f, 0x6481dd7e, 0x5519ed97, 0x26aaae78, 0x060314a8, 0x2c0c36f3, 0x626bdb05, 0xd16af9db,
+    0x79e77946, 0xae7feda3, 0xb329b479, 0x38172516, 0x2fe022e7, 0x9665b6f9, 0x07d909d4, 0x2dc05b72,
+    0x46f4b79c, 0xb9ff87d6, 0x1a64b98d, 0x077e1532, 0x4d047536, 0x29f31360, 0x1ab4cce1, 0xd025001b,
+    0x7fd193aa, 0xf9797eda, 0x918817dc, 0xa80132ae, 0xe7ee8d22, 0x2b2b5ac7, 0x1d6db77d, 0x7a2c8211,
+    0xdaa3940f, 0xa7205f1c, 0xfd5c4c19, 0x3f6dc0ba, 0x44dab40a, 0x496c032e, 0xb6a85aff, 0x53d86da2,
+    0xf1dc9402, 0xaf061295, 0xace6e89a, 0x4ef84a01, 0xa8c9cf28, 0xce80ed9d, 0x6cac582d, 0xd404c2b1,
+    0xa334e23d, 0x21477dec, 0x695f6c57, 0x082a2f5a, 0x6c0c03aa, 0x60a85510, 0xb81d4059, 0x05cdc65c,
+    0x59add8d2, 0x23ab3238, 0x14266311, 0x3eda9184, 0xc81bf29e, 0x6e70a49b, 0x916a7a2a, 0x85eedea0,
+    0x814af67e, 0x6b6532e3, 0x014f3558, 0x7c5e2c75, 0x87b19dab, 0xb4362e73, 0x5270e9da, 0xc826c138,
+    0x00a8cd63, 0x8398da64, 0x4706b4b4, 0xbe44b858, 0x1ad48b86, 0xe6a69a2f, 0x2a994b67, 0xb96fd7f1,
+    0x2709804d, 0xa45dc4a5, 0x28d0cbc3, 0xc8e7301e, 0x5bfc4fa3, 0x67a52191, 0xb191087a, 0x3a212195,
+    0x802f7841, 0x206fe4cc, 0xf4f6e053, 0x0d57324f, 0x5be5fbb4, 0x28e4ce38, 0x37999809, 0xa989aac6,
+    0x6cbb0b26, 0x805b7262, 0x2ae7c786, 0x593fbd9c, 0x92f3a6db, 0xa29fa5b0, 0x2c449d9f, 0xe795067e,
+    0x1769a2f0, 0x753e9162, 0x2a0994b8, 0xc937c742, 0x11468378, 0x66570051, 0x70387cca, 0x088434fa,
+    0x057d4c80, 0xaf888f86, 0xff259a70, 0x00b94283, 0x3d972fe6, 0x83ece3cf, 0x9408a1b4, 0x52e1790d,
+    0xdb697170, 0xe2effcbc, 0x38c25829, 0x0a5de54b, 0xa85566c4, 0xf8bdea02, 0x7bca366c, 0xb9fe5764,
+    0xec680a61, 0xcd6e6b95, 0xf37c9dd2, 0xe02d62a5, 0xd3c191e2, 0x25af0019, 0x0a1af4aa, 0xa85aa409,
+    0xd03899d3, 0xe82a49da, 0xafcc1272, 0x6f8e28a6, 0x1e8f541c, 0x4dbe7134, 0x19f3fad7, 0x14c1e9ec,
+    0xdd145196, 0xf9dc8cd3, 0x012a866b, 0xed98cd2c, 0xa885b518, 0x73817777, 0x2a269328, 0x448e305b,
+    0x94ebf983, 0x094f4108, 0xa750482f, 0x484c9440, 0xdcdfae9a, 0xa4c54d9d, 0x872d7fdf, 0xf53c410c,
+    0xc3daf671, 0xd42e7b27, 0xa0dd8366, 0xb88e1c06, 0x3b401b98, 0xf96f3192, 0xf170d298, 0x47bf11e7,
+    0xdc962c94, 0x95fcfad0, 0xf7ba5400, 0xb3961bb3, 0x62457110, 0xb4809ba5, 0x6b17443e, 0x203f9014,
+    0xb32e45e0, 0x617dafb5, 0x7789f764, 0xe41fd135, 0x56ff0a88, 0xff31a2d3, 0x9afc261e, 0x36349ece,
+    0x59642dc8, 0xada03225, 0x8957b0cc, 0xba6131b5, 0xcbbf38cc, 0x1cb6e63c, 0x11c546ef, 0xf24de14e,
+    0x5d3f0997, 0x012837d8, 0xd8ad438e, 0xdd9bbfa7, 0xee48f504, 0x15d720f5, 0x90b482ae, 0xc3d6fa53,
+    0x90d4ae5f, 0xd88f48c7, 0xf43f9123, 0xb5467e9f, 0x2d3b587c, 0x4ad5f2f5, 0xbfba1d54, 0x684bfd7c,
+    0x909db159, 0x13f27bc8, 0xadcf0cf4, 0xbb5ce79a, 0x6bef3b96, 0x838495e0, 0xd7840760, 0xa8655873,
+    0xe7aa7719, 0xadb0cafc, 0x75173ef4, 0x3a3988e2, 0xd18d9e91, 0x1de56a83, 0x98bed652, 0xea4a576b,
+    0x25240d18, 0xdf6bd221, 0x6f0f1270, 0x91733491, 0xe17f8ddf, 0x3417e668, 0x0b4c3fc1, 0x0e637b75,
+    0xaa8b7089, 0xef839ce3, 0xf83ee8c0, 0xbfa8f367, 0xbb7f90e7, 0xb0b0560f, 0x0b6c6191, 0x73832739,
+    0x107febce, 0xad9f0985, 0x6698c2fe, 0x637fc1a0, 0x7609b3fb, 0xaa86c6d1, 0x3eb8d4fa, 0x6ff5a64b,
+    0x50803024, 0x8b6c9782, 0x74b68642, 0x3d6ee5de, 0x60e496ca, 0x10449e9a, 0xa28c21f5, 0x505864a8,
+    0x38780de0, 0x4c0bb429, 0x5570f7a5, 0x6b831ee1, 0xc741e035, 0x1bc51993, 0x56b1fec8, 0xd3a01101,
+    0x2efe8d6d, 0xaf76ec62, 0xffdc025f, 0x7a2beb98, 0x4d6f0404, 0xfa67f12d, 0xb870d95b, 0x4834b8a8,
+    0x16bd6dd6, 0xbe3c2dcc, 0xaa3f8177, 0xd8621d48, 0xef42d750, 0x3ef84b42, 0xdbd896ce, 0xc6a2465f,
+    0x92c63d57, 0x879fe0b3, 0x0f68d214, 0x6e018cb0, 0x9a364847, 0x022b8cb4, 0x15900745, 0xc3186cca,
+    0x058c092c, 0xbd675a93, 0xc3b8e909, 0xca17dc2a, 0xa2e13822, 0xcd5311cc, 0x09aee48f, 0xe1696b3d,
+    0xf59bfec0, 0x1b5d5c95, 0x1fd30c95, 0xda481a02, 0xf918357a, 0x52977aa6, 0xbaf90fb0, 0xe47f6626,
+    0x30bf298b, 0x446ca500, 0xb2d18393, 0x97b76411, 0xb932e776, 0x656ddd55, 0xfaf89dae, 0xeaf1bcee,
+    0x30183e9c, 0xd9f94224, 0x35930493, 0x1d36b6c2, 0xeb7caf68, 0x6bc69376, 0xedc6924d, 0xb8982c51,
+    0x779ad25a, 0x4c5e5bc6, 0xba007a10, 0x2921251d, 0x4d8ea177, 0xd660574a, 0xabd217cf, 0x8c1df0f4,
+    0xe0833820, 0xf3792b5f, 0x13b84806, 0x598f597e, 0x8db11e59, 0xcf98a277, 0x85959d7e, 0xc7f273ef,
+    0xc59de143, 0x12b5d8a5, 0xcee7e9dd, 0x8ff67fd0, 0xca0aacbe, 0x19c0c7b5, 0xd5799aeb, 0x33141445,
+    0xc1a98b00, 0x2a394a24, 0x4de7261a, 0xceeda147, 0x09a56438, 0xdf07db3f, 0xc1d1b341, 0xf485fde0,
+    0xd61d41a6, 0x511df55e, 0x0f8ab77c, 0x4f438f78, 0xf62bdf5e, 0x54ec5b76, 0x60475248, 0xb7401558,
+    0xa43ee053, 0x09d81c9e, 0x68cf841d, 0x015e3726, 0xbede8645, 0x71a4290d, 0xdbc7db0d, 0xb9505024,
+    0x60f866ad, 0x40d253a5, 0x6f907040, 0x7518d6f9, 0xc90aa942, 0xb3fc0221, 0x0fa9fc32, 0x63153ee8,
+    0x9e447bbd, 0x9dc81462, 0xe72e3a5c, 0xfeeffe98, 0xce7380be, 0x3612ab1b, 0x3f8f1f63, 0xbebe3da7,
+    0x6a68eab0, 0x024d7d49, 0xd760fb5e, 0xa0a68197, 0x54acec5a, 0xa3930954, 0x3616d1c4, 0xa27815e5,
+    0x47151cf5, 0x50d75d21, 0x87044d8b, 0xfdc5542a, 0x9779f1d3, 0x01aefb27, 0xce5985e8, 0xde41cf66,
+    0x8de9e850, 0xe0433cc3, 0x98b32003, 0x1b3d924a, 0xef5989b6, 0xa03f36b3, 0x05cfed91, 0xe84ebcf8,
+    0x9a58728b, 0xe556c976, 0xe8442ac1, 0x95ebc530, 0xf777056c, 0xcad6a724, 0xe0812975, 0xe45b0771,
+    0xfb8c5145, 0x02bcd282, 0x3e95be7c, 0x5b182d71, 0x0857b9f2, 0xf413d5b4, 0xa033b7be, 0x86399445,
+    0x46e3f146, 0xc69aa49b, 0x670282dd, 0x92bae934, 0xa47c2722, 0x3f8d946d, 0x5e9e1950, 0xf7058043,
+    0x93348c01, 0xbe3286f0, 0x243139a1, 0xf4edc3f8, 0x40285da7, 0x94e9b5bb, 0x4105c897, 0x4bb10617,
+    0xf9a021c7, 0x3f74d0d6, 0x8a835090, 0xff0f8bf9, 0x782ff69a, 0xcacfefc3, 0x1bcc38ba, 0x9dacf540,
+    0xdb24a77e, 0x2abb3cad, 0x370c3f6e, 0xa57f4cca, 0x28e118d9, 0x851c5e85, 0x3f9dcebc, 0x00303533,
+    0x981d0b24, 0x214fc6ea, 0x241aa48e, 0x1146c1ed, 0xf436fbe5, 0xf0248eab, 0x6a81cabd, 0x5256c22c,
+    0xd996590f, 0x169066b6, 0x781ad651, 0xa4792c22, 0xf6e07f82, 0x41a82bb6, 0x97dbae51, 0x1cce3c06,
+    0x23776902, 0x946d7067, 0x92d82c84, 0xfe49bcba, 0x55a12607, 0x83b0586f, 0x62ca4482, 0xa85d2de9,
+    0x0b3ed0a7, 0x8786b77a, 0x4da31e9c, 0xbc50ace8, 0x9c178240, 0x3b21d292, 0xe0143e36, 0xbfba23ce,
+    0x452bccfd, 0xde0a5873, 0x60b1af0e, 0x38f019d0, 0xd0cc5839, 0xd87c965b, 0x7ebe27c9, 0xe255278b,
+    0x8b4688e9, 0xe47f6e0e, 0xb83de1f2, 0xcba3111a, 0x6e94b361, 0xec63ef1a, 0x19beb4ec, 0x38b91b2d,
+    0x2aea0a77, 0xa7bf0e00, 0x85d8e996, 0xa951365b, 0xb100051b, 0xf32b17e9, 0x5cb69fe5, 0xefc764df,
+    0x2fb58e66, 0x2b8fce77, 0xb65496c5, 0x3c2a14c1, 0x56bad17b, 0x942b1018, 0x2382c55a, 0x63df2b56,
+    0x042028ac, 0x09c7af69, 0x2e7b4212, 0x22651c91, 0xdcc25576, 0xa2f9d4f6, 0x14fb4bf3, 0x9092f726,
+    0x48bb469b, 0xa9f1b522, 0xd6465b92, 0x32ccefd1, 0x9a25ad36, 0x29bcce06, 0x1bfaf749, 0xf8aebab2,
+    0xe56172a2, 0x4242bdaf, 0xda2e1f1b, 0x7202880e, 0xbc867971, 0xb5901c83, 0x7c3a8bec, 0x757854fb,
+    0x1b42733c, 0xeaa34164, 0x73fd24f4, 0x9466a6c6, 0xbe243082, 0xb4c15e78, 0x0f7ca1a0, 0x02fbd4b9,
+    0x59d4c614, 0x0f30c345, 0x35a66eff, 0xcbfdd00a, 0xfca417ef, 0xa05ae242, 0x76523af3, 0x0a6a4d21,
+    0x6206a652, 0xee600bd8, 0xbc8607fd, 0x2de0a55c, 0x2977c66d, 0xfbdc2db6, 0xa48881b7, 0x8cd1f364,
+    0xc9b4e57d, 0xd15ce5f2, 0x56b3631e, 0xf511ac81, 0x0dc58772, 0x860382f8, 0xfb2c5992, 0xc797256e,
+    0xa5779a16, 0x5edb84ec, 0xe27ccce0, 0x2af682db, 0x91f08341, 0x51a7a3a0, 0xa5089476, 0x84a41a99,
+    0x1da17482, 0x77e20bd2, 0xb3257d6c, 0xe0506fc2, 0xaf2b302f, 0xcfc232e4, 0xb3086858, 0x22ca97de,
+    0x47cd8898, 0x276ab027, 0xa91a0aa5, 0xe124a34d, 0x99726a4e, 0x8f5c0776, 0x6863825b, 0x2bfc389b,
+    0x6427af63, 0x8dff2d9f, 0x6a2c7345, 0xe2d0c00f, 0x8bc6de9d, 0x51e938ae, 0x06ecfe84, 0x12a48f39,
+    0x272ffc5e, 0x06d462b1, 0x9f903847, 0x82de326a, 0x7c508ebb, 0x6ad97b59, 0xc8589944, 0xc6898c01,
+    0x3c5562de, 0x70da02ac, 0x682084b1, 0x8961904d, 0x53bc40b6, 0xbc25a15d, 0xe682f270, 0x38d24a08,
+    0xef1f65cb, 0xa98d0dc0, 0x2fb0c507, 0x2b76ddea, 0xde7fe9a2, 0x06216a23, 0x46adb017, 0x232545bf,
+    0xdedcfb4f, 0x87673ee9, 0xa8a45ebb, 0x56b7e901, 0x51873274, 0x89910d60, 0xb1f0a017, 0x7bddb6ec,
+    0x631cd1ac, 0x0e50df3c, 0xe97a4498, 0x3e7fee4a, 0x2e489696, 0xf5f2e804, 0x4c29a762, 0xde98c705,
+    0x1a6acd1a, 0x7561efc2, 0xc8f36955, 0x05d79007, 0x4edef559, 0x2fb35cf1, 0xcca969dc, 0xde548a7f,
+    0xedbd1ede, 0xcd3d07e9, 0x992cb8d8, 0xe2469a81, 0x55bee15b, 0x141740f4, 0x06b934f4, 0xfa727214,
+    0x8825e9c4, 0x1905a2ec, 0xa4317e88, 0x185eed11, 0x66512b3f, 0x9d97df73, 0xa03bcf47, 0xcd56da76,
+    0x216fde3b, 0xdb88378f, 0x4216df38, 0x318bf94f, 0x91979f9c, 0x7996589d, 0x85bac731, 0x7d2abdf9,
+    0x078efa05, 0xc9dae9ac, 0xe980323a, 0xa7e9325f, 0x443a96af, 0xc6982ebf, 0xac028be5, 0x3f035436,
+    0xba2f1047, 0xacb2b265, 0x231db41a, 0x40cc0720, 0x3563bbd9, 0x349388cb, 0x8856356b, 0xa06ae646,
+    0xc98b8e86, 0xc919fcb7, 0x18a6e17c, 0x328229ac, 0x63573c16, 0x13861586, 0x4ed7e380, 0x4bccd415,
+    0xce0c3b0e, 0x74812d09, 0xc31ad6ba, 0x1549a310, 0x73481b39, 0x6adab9e6, 0x2a7bb58b, 0xaf77d795,
+    0x5466b795, 0x7d514dc1, 0x0575905c, 0x19a2c19a, 0xe3bef78e, 0x2999f31f, 0x52106627, 0xe6e6a484,
+    0x2022ef26, 0xd9c47bdc, 0x00ce9685, 0x83e6cf6a, 0x6a9f851c, 0x6afaba21, 0x580cc266, 0xb234cc80,
+    0x8a75d48d, 0x31370819, 0x55ac6ee4, 0x9b6188c0, 0xe0fb8aeb, 0x3b557a2f, 0x4767a80a, 0xd2e86383,
+    0x7fe15ccf, 0xe9904cea, 0x43304559, 0x08328ba0, 0x893acdfc, 0x6b67239f, 0x1c236ff3, 0x39de22d3,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000001539140867046659344229650003911859914\
+                         26092731525255651046673021110334850669910978950836977558144201721900890587136 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6,
+    0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0b, 0x3a0cca1f, 0xbd3baa3e, 0x747c497d, 0x56c75a16,
+    0x00000000,
+    0xcc0267b2, 0x2a7af3be, 0x5852a5d1, 0x51d4884f, 0x97c0a103, 0xd8d9512b, 0x8459fe48, 0xb25e69d0,
+    0x04212774, 0x6b447d83, 0x239f736e, 0x9041bb31, 0x563f93a9, 0x96441c03, 0x23694be8, 0xe9a5a15e,
+    0xc881b667, 0xbd9820b5, 0x47e11100, 0x26bd030a, 0x9b53bb5f, 0x394b7864, 0xd5c90e53, 0xe70142f9,
+    0xc7cfffe6, 0x390e6bb5, 0xd39784de, 0xf41fd901, 0xd1161b62, 0x8b4f63e6, 0x4a1456b0, 0x6556efdf,
+    0xc79b8c60, 0x2dd9826e, 0xf076b90e, 0xc08169d9, 0x29919c33, 0x9c9bfcc0, 0x178747dd, 0xf199aff2,
+    0x819680e6, 0xb0026b94, 0xe7fcb74c, 0x18e077f9, 0xa50d921c, 0x06e2b6bd, 0x1545509b, 0x357bdab3,
+    0x2397ec0b, 0x6259de69, 0xb8ffd9d5, 0x1e3ee77f, 0x61465dbc, 0x7fe10d16, 0x72735e4d, 0xdd794968,
+    0xf62cf658, 0xfcacfed0, 0xa1bceec2, 0xbca2cc88, 0x545b6c8b, 0x9006527c, 0xabc7f85f, 0xb5830dbe,
+    0xb66721b8, 0x1f4410eb, 0x7eb16846, 0x0a3e71f0, 0x8929dcec, 0xaa92bfa2, 0x0d4ce332, 0x41fb4a5d,
+    0x85020b9e, 0xd6b342f1, 0xab619526, 0x8ae3523e, 0x20d367a6, 0x66e3dc50, 0xe5c28a09, 0x2d725949,
+    0x197216fe, 0xf1a20208, 0x72178a25, 0xd5e75267, 0x3aac9873, 0xcaaccd5d, 0xd431caea, 0x0167c131,
+    0xb7a83daa, 0x6735bd8b, 0x2ce9ea01, 0x31aa87cd, 0x9f6a44fb, 0x8167ca12, 0xc133516f, 0x497dfbb9,
+    0x62d4a380, 0x3992a020, 0x1568524b, 0x900150ce, 0x62ad4ad6, 0x6f894f12, 0x8f1d8725, 0xf50abba1,
+    0xfe0341fc, 0xed159291, 0xe644aabe, 0xb1eafd73, 0x571bb81f, 0x7eec7092, 0xe1719a40, 0x4f219c25,
+    0x9993474b, 0x12952fd7, 0xa7a99bae, 0x2e2f21e2, 0x1e984d0d, 0x8959862d, 0x5ce314cf, 0xa7172964,
+    0xc3a4dd39, 0x3117d024, 0x960d860a, 0xd07fdc78, 0xf8b39bb7, 0x41f6f2db, 0x9e3b42cc, 0x1ea89070,
+    0xf5330dd7, 0xacc582b8, 0x5e59b4c2, 0x51df3efe, 0x42f8cb13, 0x1133ea95, 0x9f20c5af, 0xd69fff0e,
+    0x3d316139, 0xf0b42733, 0x8e090534, 0x56f15de1, 0x07583192, 0x9c7aad56, 0xd43f0cc3, 0x8f75626a,
+    0xb9d907bd, 0x57d335aa, 0xdb15f3dc, 0x6742b21e, 0x61f16696, 0x689e0c7e, 0x3fa5ada7, 0xa6562b4c,
+    0x10b49f74, 0x6ca4013e, 0x7001c16f, 0xe2e8950d, 0xcb853de9, 0x596e62d7, 0x8515f81c, 0xd2df9f25,
+    0x18d3bb0a, 0xdb965a3e, 0x31d1e6f9, 0xc23ef7d4, 0xce8a0021, 0xa373a0ae, 0xf1b3b9b9, 0x28267dd6,
+    0x08970de2, 0x9bf0cf37, 0xe2392e2b, 0xf480c340, 0xe50f533d, 0x21af9ec7, 0x5a533bf9, 0xdbad9d75,
+    0xef13208a, 0x1230d06a, 0x1a05ef3a, 0xd23b5eb1, 0x0f556089, 0xab585586, 0x4691bc45, 0x4ab0be64,
+    0xa15d3559, 0xbe1a7de2, 0x4875448d, 0xb0e7ac0a, 0x1eaeca27, 0x5c1ab236, 0x552e6b3e, 0x41698ab1,
+    0x6b02ea26, 0x5f482f3f, 0xe24ce89f, 0x0732a1a3, 0xe875749b, 0x09efe889, 0x68e948ea, 0x9aed928c,
+    0x18c805f2, 0x3bcfbbac, 0x8ef52fb7, 0xa3d8818e, 0xc6268889, 0x2f33d73b, 0x097b32b6, 0x2accfc5f,
+    0x4179006c, 0x7d673401, 0x8c6bb7cb, 0x129dd5ce, 0x504d83e7, 0xcc43374a, 0x2c8e7577, 0xc6ce478c,
+    0xe40c8f89, 0xebf550d7, 0x1181e863, 0x6f52504d, 0xbb63f676, 0x69464d96, 0x427bbc4f, 0x831020dc,
+    0x57484ad7, 0xb9c9ce1e, 0x268c0d6e, 0xc48b8afb, 0x3abd8773, 0xe6de3087, 0x22742ea6, 0x8e801365,
+    0xd9b20e6b, 0xdca51d0f, 0xf7c9fdc0, 0xc84d8241, 0xbc7e50fb, 0x6931e729, 0x03129147, 0xe76e6f1c,
+    0x5f44ed61, 0x231efadf, 0xb51b3446, 0x0f9a331e, 0x3f37d189, 0x1e14ab5b, 0x7cad94a7, 0xb07be42c,
+    0xc2e92aa3, 0x35d8d76f, 0xa90e5bf5, 0x7cfbd04a, 0x81aed19f, 0xea77c490, 0x3615117c, 0x96d40bdc,
+    0xa5adbc43, 0x21969d27, 0xe0cac60b, 0x7b12f7bf, 0x7ce0af5b, 0x5608ef10, 0x88bfcc1d, 0x12de3e16,
+    0x1e0fd7b7, 0xfde0bd5d, 0x6afb59ef, 0xdf5a548a, 0xa24742fd, 0x35bb6375, 0xf39ff7f7, 0x8790ee83,
+    0x489b13b5, 0x46d51712, 0x49d5616c, 0xbdab9848, 0xee8307bb, 0x6a4a81a7, 0x9c461a35, 0x94d565bb,
+    0x586b378c, 0x1b36493b, 0x94fa0567, 0xc50bc595, 0x82f27748, 0x7f3e7636, 0x6cea24fb, 0xbc1d86c3,
+    0x23a469bb, 0x51421b40, 0x119639bb, 0x78dc8f87, 0x678e13ba, 0xa9107381, 0x90e90276, 0xf757a809,
+    0xc501b973, 0x5119c2dd, 0x0c17fec1, 0x35662914, 0x323c530e, 0x975ace36, 0x693b881c, 0x471d76bc,
+    0x048a4f18, 0x2272c9c4, 0xed5dcba0, 0x8b351e81, 0x4671a58a, 0x61972daa, 0x0fff3692, 0x291de14c,
+    0xb4ac0e85, 0x7ac5cfe8, 0xe5d5526c, 0x6b90f085, 0x81eaff4c, 0x7492b82e, 0x3d8038ac, 0x6f75323a,
+    0x831495f5, 0xb3ca062f, 0xe70d29f9, 0xccff84f4, 0x729fb6cb, 0x80b10002, 0xa5d918e9, 0x86fe9863,
+    0x0eca4174, 0xb87d4394, 0x8cf6ef3a, 0x556ac006, 0xc2345094, 0x89fe1450, 0x71d9eed7, 0x481d2522,
+    0x821faeb3, 0xd6d2ebb3, 0x1c33a143, 0x41c6dbcf, 0x64751c96, 0x84e9cdf7, 0x586d1fdd, 0xef963208,
+    0x27ada78e, 0x698a4d4b, 0x221cd4b3, 0xadd1ce6a, 0x6061d1b5, 0x930a283a, 0x57df0186, 0x3db61cdb,
+    0x38afae14, 0x94425aec, 0xb5361615, 0x35eaffd5, 0xb7056c8f, 0x79e35de0, 0x332ca4ea, 0x1681e361,
+    0x6b74157c, 0xae6155fd, 0xb9b2d935, 0x2ed8ab38, 0xada03e2d, 0xeb5f89a4, 0x74b73fbb, 0x039b711a,
+    0xa13c1554, 0xb930a35f, 0x1ec6a8ad, 0x954c99e4, 0xc967860b, 0x4f468846, 0x5b790f9b, 0x7551998d,
+    0x66483af8, 0x1031368b, 0xf7e37961, 0xa5abbf95, 0x8c8c5133, 0xfffe3419, 0x3dc5643f, 0x22383e98,
+    0x59aaf2f2, 0xb755e9d8, 0xffc8b0b4, 0xa8363d31, 0xa5569627, 0x080295b2, 0xee64e9cc, 0xa1d39516,
+    0xb20288c0, 0x2f155ff2, 0xb635df29, 0x40db8836, 0x3f3fa32e, 0x4cdef724, 0x5a33538f, 0x9954409b,
+    0x8cd88dc4, 0xc58d6d29, 0x2748672d, 0x3b856a5a, 0xcb5521f1, 0x3b059768, 0x9b828eed, 0xaa08a9c5,
+    0xa5341303, 0x6c0238a3, 0xb37b6269, 0x2796560a, 0x8742c946, 0xa36889be, 0xdb536012, 0x2ea30edc,
+    0xc90c58cf, 0x7bc771b2, 0x50c6853b, 0xc89ee498, 0x1a358711, 0x68f5d0fb, 0xf578857c, 0x85001300,
+    0x42770b38, 0x7c259970, 0xcea2ebdf, 0xcd37bcf5, 0x3d4c7717, 0x4d47c5cc, 0x2891ac5d, 0xc403ed73,
+    0x55f65241, 0x515c4812, 0x795259ae, 0xca09f966, 0xf4f085e5, 0x46ccb4b1, 0xa5ec6e99, 0xfef6e171,
+    0x5031ede5, 0x7253ba3c, 0xcfad5f5b, 0x82e5bbbb, 0x4659c967, 0xf8c61578, 0xd6b224b6, 0x68a14ad1,
+    0xf91927d7, 0x2f9f36e5, 0xf77fdc92, 0xaba60208, 0xd9e43110, 0xf43f1e0b, 0x17b2639e, 0xfe181981,
+    0xe692fe8c, 0x7c42eb05, 0x4b52b41d, 0xd7a982b2, 0x7fbffb6e, 0x60851eea, 0x3b380d3e, 0x2f6a0b47,
+    0x33cdd78b, 0x517aa5d8, 0x4ba0226a, 0xf3e66207, 0x195f4f14, 0x00e61b01, 0x4497fada, 0x0669ff4f,
+    0x26b40d23, 0xfbcb50ad, 0x08519845, 0xe8b90ed8, 0x0c793bd7, 0xda57d5a7, 0x1c095c35, 0x6bb8b528,
+    0x58d37fb5, 0xc604d7e8, 0x4fac58da, 0x288097c2, 0xc9d4da30, 0xb92e44a9, 0x41494a5a, 0xfa28e6bd,
+    0x2458f43e, 0x853dfb4b, 0x37a6687e, 0x78d4411a, 0xc2ad5fda, 0xc8c9aee5, 0x8965370a, 0xe379cf44,
+    0xf651a43c, 0x3c2ec390, 0xd3cf917c, 0x208152b6, 0xcaf921e9, 0xe04f8ea9, 0xf5726c0f, 0xc45640e7,
+    0xcb42f964, 0xbfb7c722, 0x77163a7c, 0xc589336d, 0x46fb5a41, 0x6a2ba7a4, 0xd26b07d2, 0x99478b56,
+    0xa0702ead, 0xf4eb4609, 0x6675f223, 0x8f7e7987, 0x58e3d726, 0xfb909c30, 0x3e713a3d, 0x09c8c998,
+    0x17bccedb, 0x4a2d7104, 0x69a0d98e, 0xce5989a5, 0xc6cf2796, 0x1af9a89c, 0x23d011bd, 0xacbf89c6,
+    0x2f9c2c9f, 0x06a4c81e, 0xb1d27d4f, 0x73970af5, 0x9ffad7e5, 0x71fa478d, 0xc21b8ad1, 0xa4a74ffa,
+    0xa63a91ff, 0xaa705912, 0x978d2476, 0x760b332e, 0x9da143ff, 0x3c7bf88b, 0x4ee014d2, 0x6f5a5af5,
+    0xc4fa4ce0, 0x68c8c2e7, 0x171aa4f2, 0x3e188cc8, 0x23985865, 0x357e7869, 0x918a4f5c, 0xe74654ee,
+    0x7f81868a, 0x740ae53e, 0x4eca7b98, 0x7e511fe9, 0xe9bdca30, 0xe38913dd, 0x1e339873, 0xd97e8396,
+    0x6a8bee47, 0x0e4b8642, 0x1ed3e8b4, 0xc0f4ca19, 0xf87e6dca, 0x0b8923fc, 0xbac9ac32, 0x0a0108bd,
+    0xfbc2cf72, 0x97681f34, 0x073da51a, 0xe5399b6e, 0xcde3e2ed, 0x0a134b93, 0xe788e2bf, 0x11c40401,
+    0xc664d7dd, 0xd20dad0b, 0x5d490a41, 0xa3196525, 0x804869d7, 0x23ce4fac, 0x934577a9, 0x6aaff0ce,
+    0xbbbdd710, 0x69f190f7, 0x1862a68a, 0x7a4f2a6a, 0x1f251191, 0x1b09c03d, 0xe4e3730c, 0x45f09cd9,
+    0xeecf54c2, 0xdd49e30b, 0x27a96a26, 0xa9d08ceb, 0x98d98491, 0x732f3fd4, 0x488fff77, 0xf8fed39a,
+    0x2f86aa71, 0x46171613, 0xa7a38156, 0xec6f07d3, 0x35ae7b7a, 0x84628461, 0x0be9b9d8, 0xc7259a1b,
+    0x4184b9ba, 0x7f46427d, 0x5f7f02d7, 0x9e7c2c45, 0x642366ca, 0x3c25b7b7, 0x14787c65, 0x479f1981,
+    0xc67d2f8c, 0x5e59fdde, 0xa9f10da3, 0x902a0462, 0x0ed43ff3, 0xc45ca8e2, 0x991ae0c6, 0x71de436a,
+    0x2a86d582, 0x4125f8fb, 0xcc402ede, 0xb24d99a2, 0xa5b7535e, 0x45295aec, 0xf8418459, 0x454322fd,
+    0x375af5c7, 0xd001c6b7, 0x8e80c78d, 0xb91226a8, 0xdc68dc78, 0x0398bf6d, 0xf93abde6, 0x42029707,
+    0x1a2f2454, 0xbe86a677, 0xb07fd833, 0x35153c79, 0x25c7a58d, 0xe994be04, 0xc9984d6d, 0xc3853535,
+    0x5fd9c45a, 0xeb5dd655, 0xc4465e3d, 0x3d0b5df7, 0x4bdb4f37, 0x9bd7c512, 0xfa51decb, 0x3f1ca992,
+    0x92b26b0a, 0x247ba4a4, 0xbbcd1722, 0x5f585a20, 0x948c45d1, 0xf985eff9, 0x3a13970e, 0xa9c11171,
+    0xadb1b920, 0x4c2b430d, 0x4231eff7, 0x6fed50fe, 0xdca83e29, 0xe7121e99, 0x7243bde0, 0xdf73b33e,
+    0x661c345a, 0x13296dbd, 0xca3b72ef, 0x7a751024, 0xb8dc4515, 0xa3d8dc41, 0x3382bff1, 0xdc3e5e25,
+    0x12999096, 0xb0c47314, 0x758c9293, 0xb08f616f, 0x028c8aed, 0x94e2abe5, 0x7a0f54cf, 0x628a0da2,
+    0x939e2969, 0xe59a244d, 0xf81080da, 0x5a64fab2, 0x5000a95b, 0x8ab5301d, 0xed9f4eb3, 0x93382225,
+    0xf74c6a21, 0xdfd77a14, 0xb60e5259, 0xc65093ca, 0xb4e4308e, 0xd01420bc, 0x52a8802b, 0xf1b993e1,
+    0xc8d42da3, 0xcef93787, 0x1c1b9f99, 0xf403b617, 0xeec69c04, 0x8e730cd1, 0x86bad65f, 0xa2b6c729,
+    0xdd128570, 0x67148626, 0x469a2937, 0x8141af7f, 0x584de7a0, 0x481f6ce8, 0xd4dca3fc, 0xfa593cd6,
+    0x9484d04e, 0xf59d6889, 0x10f4e4ce, 0x451f97d6, 0xcf34c271, 0xac65ce4c, 0x47298834, 0x93bb184d,
+    0x82fc5d7f, 0x10207acb, 0x7860f5ae, 0x0f6e22d4, 0x1672836a, 0x9fdee041, 0xa01a9645, 0x2c0d7aba,
+    0x26fddf83, 0xe605b376, 0x4d00c4f7, 0x5979fc35, 0xc5a40f46, 0x699f78b5, 0x4a12d770, 0x87141244,
+    0xf002bbcc, 0xc9eebf86, 0x8a1ee845, 0xc9770d54, 0x1b2d7bb9, 0x2b832f96, 0x138f9d18, 0xeafe44f2,
+    0x11efbf05, 0x612288fb, 0x6cc7b915, 0xa45a7956, 0x51900f5b, 0x6eca5efc, 0x169b56ee, 0x5d3a83b3,
+    0xacee1fcd, 0x259a551d, 0x3f098b07, 0x1d26f6ba, 0x5dd6a317, 0xc0a2dd14, 0x6b50c4e8, 0x31c3be6c,
+    0xdd2d0ef6, 0x10504aeb, 0x80d48e30, 0xec80adf7, 0x7ff1bc63, 0x2727d33f, 0x15487a57, 0x3ce06249,
+    0xbd32ecad, 0x890b2d03, 0xd09341e4, 0xd0491b1d, 0x3574d86e, 0xeb5f1062, 0xd1dfe862, 0xfcc16184,
+    0x3624d2af, 0x39583414, 0xe56c5f2f, 0x56999854, 0xf113007b, 0x8359c8b4, 0xcc4eb0da, 0x2037ebf0,
+    0x921cac2c, 0x3476c5d6, 0x3b408c2d, 0xc72ab134, 0xd663274e, 0x071c5080, 0x285417e1, 0xc3596aeb,
+    0x848922f8, 0x797de8be, 0x25438cb2, 0xde0461ae, 0xc6b59da1, 0x2353d72a, 0x75c7e330, 0xdad240a4,
+    0x6c8a0539, 0xbf7215aa, 0x338a9324, 0x9bbcefa2, 0x8a6ba174, 0x91731f56, 0x31e819f7, 0x75798726,
+    0xa11adb08, 0x79ef68b6, 0x8c78ddc9, 0x75ce126b, 0x8adc531e, 0x073d2fc8, 0x785633f2, 0x64c3641e,
+    0xd49a4e90, 0xb683ab83, 0xcdfb3ac0, 0xf91ec0c4, 0x926203a8, 0x3117ea7e, 0xc8fd9fbc, 0x5204a80c,
+    0xa2f36416, 0xb9d3b9ea, 0x24c2880c, 0xc4b6f379, 0x8a3edf85, 0xc0e27767, 0xe46901c5, 0x21a06c32,
+    0x8419f93e, 0x4e377695, 0xbc397eb4, 0x71831254, 0x1e0e3053, 0xcd76a80d, 0x4caa0681, 0x84772921,
+    0xc6c784ef, 0xb15aeb53, 0x25cd80d4, 0x0178e63a, 0x4f58d667, 0x8006e69e, 0xa510ce61, 0xd4acd241,
+    0x223e9aee, 0xf4957506, 0x1ffaf7fb, 0x7911631f, 0xa18c815d, 0xa4ff5744, 0xe0eb88ed, 0xd02718b6,
+    0x0fce9f90, 0xbec092ea, 0xf9ed712d, 0x648a9b45, 0x9502f074, 0xe9bd86c8, 0x48f57b77, 0x716aaa54,
+    0x52a6e639, 0x8e2950ff, 0x2149bb82, 0x0ed09a94, 0xf117c646, 0x6fc1c97a, 0x8f4c3256, 0x7e34a455,
+    0x49404246, 0xd803641e, 0x6c8fd15f, 0xe0eda76b, 0x3d947097, 0xf831b403, 0xcedecef3, 0xd028bb70,
+    0x0c865228, 0x89b55063, 0x0e1b3dbe, 0x172460e1, 0x580ab1d6, 0x075102f0, 0x03f88b87, 0x99501360,
+    0x2cdcc85a, 0x2b4f7ade, 0x41ddf00d, 0xb3dc16a4, 0x7218f357, 0xefaed952, 0x993f1d7d, 0x8b8ac54f,
+    0x81829354, 0x0c207f38, 0xc419b271, 0xa6adb9a6, 0xb54ba606, 0x20929dca, 0xdb55d43f, 0x7aa00609,
+    0xa6258dc5, 0x8b02260b, 0x9a12602f, 0xe17ee20e, 0x9dfa060f, 0x5eb9b662, 0x9f6a5410, 0x2e1e556e,
+    0x502d8718, 0x7d6035c2, 0xd0b26997, 0x54a5f48e, 0xddead9c8, 0xbc49ee29, 0x46b41a08, 0x15e9899e,
+    0x893e06b2, 0xd1d0b5c0, 0x3b72a5a2, 0x63f7c9b7, 0x409ac200, 0x5f831220, 0x0201c239, 0x8284b2f3,
+    0x816a4254, 0xa4a03e5b, 0xc21e49a8, 0x694c4224, 0x4bb1c12f, 0xe4101d06, 0xb274c4fb, 0xdca446be,
+    0xa4c923e5, 0xc3fb1faf, 0x95519ac4, 0xf0a742af, 0xbf5a8091, 0xa0d334c4, 0xdfe09b77, 0xcbb5d8ce,
+    0xc3d1bd04, 0x00473ca1, 0xb085e864, 0x35849bf3, 0xa4e63117, 0xe13fb5e7, 0x1e319ec7, 0x05a5fb58,
+    0x5b958481, 0xa0851f51, 0x3e02c4f1, 0xd62cb65c, 0xd255fb72, 0x682447cb, 0x6778aea9, 0x63523956,
+    0x619a43d1, 0xc66a5fe5, 0xdf16ac19, 0x6fe91c68, 0x62380af8, 0x76429d57, 0x303e7f50, 0x3d9912fe,
+    0xd3cd984a, 0x4abb9130, 0x5b643547, 0x815c2414, 0x69d5626d, 0x20e04212, 0x84429b62, 0x3acf3da0,
+    0x6013e0e3, 0x59b83d22, 0x52a0e4bb, 0x2b604b8c, 0x8d070f7d, 0x0404f055, 0x42e0a199, 0xcec82040,
+    0x2498b864, 0x1306431b, 0xa8a990f5, 0xa7c3a6d6, 0x1e024a79, 0xba7fcca6, 0x4574fbb4, 0x14784d36,
+    0x97c2f372, 0x080ad5f6, 0xe80fd116, 0xd56f9b14, 0xdd090449, 0xc427c6bc, 0xc165701a, 0x51ddf7fa,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000769570433523329672114825001955929957\
+                         13046365762627825523336510555167425334955489475418488779072100860950445293568 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb,
+    0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e785, 0x9d06650f, 0xde9dd51f, 0x3a3e24be, 0xab63ad0a,
+    0x00000000,
+    0xe487edc4, 0x3ac5a3f6, 0xb1a389fd, 0x6ed74d58, 0xde12f92a, 0x9ce1300d, 0x5f1f68f2, 0x001c42a7,
+    0x8f3cbe0f, 0xc93ce5bc, 0xbc4815e3, 0x310035c4, 0x491c1b87, 0x0ebdca7a, 0x18373ae5, 0x50562705,
+    0xe4dbc8a5, 0x0b674cc2, 0xdbb9597b, 0xe650d843, 0x78cf3f62, 0x050e6baf, 0xf3023d4a, 0x249a62e6,
+    0x6bacf20b, 0x64246f93, 0x6c24fbe0, 0xf4c2fb54, 0x7ac2dace, 0xbd685a56, 0xd66bbd1c, 0x18733ea3,
+    0x4a6c740d, 0x6a67f84f, 0x503550a2, 0x689c7ca4, 0x06a68767, 0xe4bc1fb4, 0x3b3fa657, 0xa7fb220c,
+    0xef614c7f, 0x04a2344e, 0x10f8ea08, 0x4747ca86, 0x1da417ee, 0x0020d592, 0x77595b28, 0x32e34744,
+    0xf87604dc, 0x26d2e8f5, 0x7f8f48c8, 0x9b462fa2, 0x2fcb3bb3, 0xbc10ed0d, 0xe7d6a080, 0xc92669c3,
+    0x23b5c7f3, 0x4ed50d9e, 0x4e48517e, 0x276adf88, 0xae9eff2c, 0x49e98ca1, 0x69ed961d, 0x6463e3a8,
+    0xdd7914eb, 0x9d3d8e4d, 0x0749f03a, 0xd017f554, 0x97e60cd2, 0x536e6773, 0xb86d6579, 0x120f63b9,
+    0x58a4caf1, 0x684a263f, 0xbc9c7bea, 0xea0bfa2d, 0x955e66c7, 0xf759e134, 0xdd8c7362, 0xcf0ba1e7,
+    0xd28a1aef, 0xc788776d, 0x9ea1b966, 0xe9371966, 0x5db88066, 0x739d2881, 0x939e74d8, 0xb764b889,
+    0xc97af9db, 0xb2fba086, 0x6eb17b57, 0xf2bf1733, 0xcc662ce1, 0xd01ae2e6, 0x6db8ac39, 0x332fdfb9,
+    0x8e86f3f3, 0xd25c45bb, 0x8ef04a04, 0x87cca725, 0xb4f1a131, 0x5b5c46f5, 0xdb328d44, 0xf11acfba,
+    0xb1015cfa, 0x984f5d74, 0x82061928, 0xdfae1724, 0x759ec461, 0x75eea773, 0xb710ddde, 0x5c8cb66b,
+    0x8e70f699, 0x9f2ce31e, 0xc75ee32b, 0x1052ac80, 0x26dc6d49, 0x9b8b1cfc, 0x97307aed, 0x094e8da5,
+    0xf50d1b5f, 0x58492ae5, 0x55fa96f0, 0xd357618c, 0x3dce7e90, 0x80fa5ea5, 0x6611c1c6, 0x9fa620e8,
+    0x4d908438, 0x17a7b7aa, 0x51dc0c59, 0x04c0b0cb, 0xd4369d0d, 0xfd7912a6, 0x4792e3b2, 0x3d9a511c,
+    0x80666d43, 0x0578643d, 0xf3bd8039, 0x6ba0c303, 0x190454bf, 0xf32f4ebe, 0x0dcc8e93, 0x7377e114,
+    0x17a948d8, 0x0ee62ff5, 0x855b994a, 0x86fe8567, 0xe02af59e, 0xd6884a12, 0x303bdcc9, 0x18b2a2a5,
+    0xf99b362f, 0x093b0800, 0xfe3c9255, 0x5a1e9d2e, 0xa0ea411a, 0xff077aa6, 0x3f14acd0, 0xd9077568,
+    0x64e121d3, 0xc18ab16c, 0x8a443883, 0xa2a05ffe, 0xd7cab8dd, 0x4144284c, 0xbf31ec47, 0x07b6151c,
+    0xe17fbd2b, 0x2bcd3933, 0x46451ccc, 0x6da67290, 0x48d76b8e, 0x532c5382, 0xa3e900da, 0xa9fa346f,
+    0x9e86cc75, 0x81a1a45b, 0x6d0f792e, 0x026e3dd5, 0x0fb5747b, 0x74dcdc08, 0x0263a076, 0xabb67049,
+    0xbe0edff9, 0x9704559f, 0xbee904e9, 0x42bc2c9e, 0xaa02af03, 0xa69f0e4e, 0x31423779, 0xbe4452a4,
+    0x6d881126, 0x81fc6269, 0x706c8b07, 0x4614ed98, 0x93591c1e, 0x3fd7de80, 0xe012292e, 0x03874149,
+    0xa8460127, 0xffaf0cde, 0x38bfb0fc, 0xff0f9616, 0x687da7e7, 0xe2b545fb, 0xf260f7b8, 0x3a0f8481,
+    0xd06944da, 0xa90e5efa, 0x9cf8ddcf, 0xa00ab491, 0x61380a2f, 0xa5878fa3, 0x728604fe, 0x4232ac91,
+    0x56067cb9, 0x7b38b6e2, 0x7e1666f3, 0x722e7337, 0x5833f1de, 0x3e7bdb19, 0xb44f87fb, 0xc4203ef8,
+    0x128dc1bf, 0xfa3eaf50, 0x853f8580, 0x5195c042, 0xbeadce4b, 0x27ffebf0, 0xa55906e3, 0x293f39dd,
+    0x7cda3983, 0x3612d6d9, 0x5eb2c7e1, 0x706f4a6a, 0x10405229, 0x9b682e26, 0xec7fd788, 0x79433611,
+    0xcf1c6247, 0xc2a5e5d4, 0xd52949e2, 0xe55370eb, 0xe41f46b3, 0x00362549, 0x928ac070, 0x681c20a5,
+    0xd14b9296, 0x15db6c2c, 0xbae16f7e, 0x520ab8b8, 0x3794189d, 0xe8449c9c, 0x4bba5e35, 0x91d172b4,
+    0x6412640e, 0x3131213c, 0x07f28c05, 0xe4fbf688, 0xe17c9301, 0xc8a3ab9c, 0x73e08ba8, 0xe4366fae,
+    0x4bb2d221, 0x94d99682, 0x78415504, 0x7d87e60c, 0xdbcde454, 0x29e8eb52, 0xb514c674, 0xbf014f40,
+    0xa74de542, 0x3d436bff, 0x0d70773e, 0xf3f2e294, 0x148e6786, 0x9ee22576, 0x1b46ed35, 0x52a14be0,
+    0x16805d04, 0x71492371, 0x23f2bec8, 0x73b5e274, 0xfa7aa18d, 0x323ab3a0, 0x43a29f60, 0x83173d21,
+    0x5e9485c6, 0x04a2bb24, 0xa7a842d0, 0x9430eadf, 0xc7b1e4c4, 0x56712b07, 0x423c3e85, 0xce542008,
+    0xff48dde7, 0x87649875, 0xaabd8a4e, 0xbe7d2ed1, 0xd7091c86, 0x0738beb7, 0xb3a95a9a, 0xfb9fd821,
+    0xda1c00b3, 0x17d4f6bd, 0x0729d93d, 0x37b661db, 0xb279d2ab, 0x12e964ce, 0xbfd25d7c, 0x4a7ff9ab,
+    0x6baed581, 0x3a745e73, 0xa442945e, 0x73a25581, 0x49bb051f, 0x79e00088, 0x5e0db5c4, 0x2f991805,
+    0x98b30a19, 0x479b06fa, 0xdb168f30, 0xd9e2ae5a, 0x44a1525a, 0x3ed8883c, 0x8a639903, 0xe6e07a24,
+    0xac29f816, 0x6be21b1b, 0xe1ec09a8, 0x489803ca, 0xabddba46, 0xac1af59e, 0x20c0be58, 0x10416701,
+    0x2e07936d, 0xa03602f2, 0x552afaf6, 0xf731cb96, 0x81fd1223, 0xa755d9fb, 0xa148203b, 0xe25c2b54,
+    0x64a0caad, 0xbecd8b05, 0x29a8ba41, 0x63519868, 0x25c89470, 0xbe795379, 0x2e2e514c, 0xff36ceab,
+    0x81407128, 0x47939319, 0xf7cc894c, 0x392e4f4f, 0x6406d725, 0x4de57f57, 0x5b8cc798, 0xf304bf80,
+    0xb8a468f0, 0x76dc8911, 0x9bd9af11, 0x5a4e7aef, 0x5043d1f3, 0xb4770dff, 0x1275e65b, 0xf6990252,
+    0xb3a07b8d, 0xafa60a8c, 0x406d95d2, 0x4f52ca4e, 0x2269ef91, 0x1ecddb50, 0xf67f9b84, 0x821d0520,
+    0x3811c180, 0xe2793c4d, 0x23296cf6, 0xf2c3cd00, 0xf6ed0a3b, 0xd575e538, 0xc08d6b5c, 0xb529d434,
+    0xfa5a02dd, 0x9f92daa9, 0xa580f259, 0x22a21a9b, 0x2cfbaa3c, 0x0c403773, 0x3858ab88, 0xd58ab2ec,
+    0x09ac6d4e, 0x8e19c8b3, 0xf0368068, 0x6bf9ae57, 0x681c97a4, 0x93550632, 0x2d31a55e, 0x45a8ec2d,
+    0x203b081e, 0x4952a141, 0x7e4865e2, 0x014edf8b, 0x48880791, 0x8270e1f7, 0xc0edacb4, 0xfb0666fe,
+    0x963e96af, 0xa2398edf, 0xd26e2a03, 0x1187219a, 0x4ec0ed63, 0xc2a08132, 0x16f4cdf3, 0xb5866e37,
+    0x64a90702, 0x1acddb95, 0xa386ec05, 0xe90e7d59, 0x79394559, 0xc93d19b0, 0xa13d4b76, 0xfcb889ab,
+    0x3cb40615, 0x4b138e08, 0xe0e93d6c, 0xd087168c, 0x692e4306, 0x1568b464, 0x47afe7ef, 0x15edca50,
+    0xcaf5d834, 0xad04271d, 0x6f9c7fe9, 0x52907ce6, 0x5ce191a6, 0xe7c5f2b8, 0xa470f1ac, 0x0cc26ec6,
+    0x39d67ff0, 0x271cacfc, 0xf3777500, 0x264c2070, 0x62e0c4d9, 0xcd7f37ae, 0x6d01dbbd, 0xf32c23c7,
+    0x14e62d1c, 0xa3b1029b, 0xaffb73ce, 0x05257319, 0x5301f22d, 0x277e9a25, 0x9064f9b9, 0x00123c7c,
+    0x7533e1b2, 0x60be2462, 0x71087fce, 0xc85cd242, 0x26c1f2f8, 0xf84c4c57, 0xbc627e42, 0x23a645fd,
+    0xa99e4855, 0xf4a372e7, 0xbd638dbb, 0xd6ea3af2, 0xbfb27572, 0x587402c3, 0x6bdc194f, 0x9998d21c,
+    0xa425a301, 0x1844db15, 0xe627c976, 0x49b3dffe, 0x768e8001, 0xb31d888b, 0x4b6d2ffb, 0xdb8616d4,
+    0xe4baa024, 0xa05a506c, 0x92d21a17, 0x8e245d12, 0x7500d30a, 0xd5a1edff, 0x9783d6eb, 0x8380900a,
+    0x2ea91e9a, 0x3a899710, 0x92e31c6f, 0xd0e9ee8f, 0xd063e6ee, 0xc06857d5, 0xf1e32587, 0x14312c0f,
+    0x7314c11a, 0xe30f5110, 0x1c9179e2, 0xbc51096e, 0xba4824be, 0xcd55db38, 0xbf9cedcf, 0x4be3cc95,
+    0x427d65d6, 0xdb4a5b90, 0xdbf33eb8, 0x76342c6c, 0x15ea6e4f, 0x4cd8de08, 0xef361064, 0x50c1ceb7,
+    0x34909bff, 0x929687ae, 0xa59c91bc, 0x4566c40d, 0x28a3528a, 0x349120f2, 0x09c93217, 0x6d341e43,
+    0xbb8794a4, 0x09e633c5, 0x3d3659f7, 0x31fb093d, 0x6f2e35c3, 0x1fb8fadf, 0x70d109dd, 0x69aa7a72,
+    0x62cb9124, 0x20a84ec3, 0xfcfc15f1, 0x1d6c37aa, 0x7cb64d5f, 0x39df75e1, 0xf1910240, 0xa35db8b9,
+    0x8c6c9b73, 0x8524a194, 0x9ac7be86, 0x1e62cde8, 0x8e368303, 0x4021de40, 0x7cb58aa8, 0xa92e1a12,
+    0x36495040, 0x7692243a, 0xfdcd002d, 0xc73dcd72, 0x4e10f746, 0x9fe65b99, 0xb6e00541, 0x7f3ac645,
+    0x8597e475, 0xb84b6391, 0xfd6d884c, 0x18bf6438, 0x010bcbab, 0xbe9d7643, 0x2195f357, 0xc3dba863,
+    0x7c278054, 0x9d1f33b6, 0xb7ddaab9, 0xab7aa397, 0x13bfb7f2, 0xe557234e, 0x53ed2720, 0xa4ddaf0e,
+    0xf986dc36, 0x3f05f9c3, 0x6c48620e, 0x278a7a4c, 0xfec975c8, 0x33343cf8, 0x45af3977, 0x62429992,
+    0x89ad919c, 0xf0414999, 0x3145ba1f, 0x44442a57, 0xbefb4a51, 0x7a2d459a, 0x0c4fed85, 0xf702ad6b,
+    0x89dd851b, 0x89b942fb, 0x5a95e09b, 0x77b48386, 0x3b070a2e, 0x9f341682, 0xdc8ba675, 0x4938cf80,
+    0x02a422f3, 0x0a5deecf, 0x7b4be113, 0xc5c683e9, 0xc1b27d50, 0xfaf84f3a, 0xcd1c583c, 0xcce71832,
+    0x8ec03420, 0x396f142a, 0xafe285e8, 0x58923a73, 0x42377432, 0x2252bba6, 0x1edfc947, 0xe3c42333,
+    0x33c4659a, 0x425650bd, 0xf22c6230, 0xbb896354, 0xf77f7f94, 0x96d4d652, 0xe6db146a, 0xe3884357,
+    0x92df2b18, 0x5dbace4b, 0xc621195f, 0x5ad9feb1, 0xe067e7e9, 0x961135c6, 0x3ca0d82b, 0xe0ecc502,
+    0x6f72248c, 0x2057d871, 0x684e2dab, 0xd40276a0, 0x047c2c04, 0xcfd89704, 0x77327ea4, 0x3ba00107,
+    0xe60eb06e, 0x74527b40, 0x9930662c, 0x237ccaae, 0x0705a292, 0x4f9ef459, 0x08843e78, 0xd6dc8178,
+    0xb1421f71, 0x62f79779, 0x1dcb9a72, 0xa9416382, 0xb6db18b3, 0xe73f8169, 0xac7d876b, 0x6dd6a305,
+    0x7af15313, 0x7aed6b2f, 0xc42a607f, 0xbd69d23a, 0xbb8c0e4c, 0xb0b65f0e, 0x763b4cf4, 0xe87514d2,
+    0x5110d4a0, 0x82fd7a56, 0xc40f03ed, 0xeda55113, 0x12b51eb7, 0x0b8ebe3d, 0x29d31271, 0xa036c3a4,
+    0xeacdee01, 0x3ca0facf, 0xfcf5c312, 0x30ff5dfd, 0x7eef647b, 0xa8086576, 0x2afc5c2c, 0xe83cb20f,
+    0x9fb9c879, 0xbd443192, 0x51b95a29, 0x105c69de, 0x25be17bb, 0xf94cb822, 0x7851318b, 0xd5701ba7,
+    0x3076ed81, 0x4f72a8d0, 0xa7538b3c, 0x04a630d1, 0xb62f95d1, 0x51ee5501, 0xe1ee9c94, 0x9c0a5d1b,
+    0x922af1d2, 0x6b4c5d65, 0x8d00fae5, 0x97b36f84, 0xa1328e90, 0xb5405ef9, 0x18e73973, 0x044935c5,
+    0x543184d1, 0xc7d58191, 0x41ed985e, 0xdda84e88, 0xcf49a582, 0x5a08526d, 0xba5e742f, 0xaaf9dc93,
+    0x0f94b7fe, 0x5e8f98d2, 0xde2852f5, 0xc5eeebf4, 0x4c57d70f, 0x2d47caa8, 0xe997dbe3, 0x005c713e,
+    0x81d25020, 0x8cde26b5, 0x92f5ffb7, 0xbc0e9a23, 0x389eac9c, 0x57580e5e, 0xc954062b, 0xc691a7c7,
+    0x07ad4cf5, 0xe390c557, 0x0e88de91, 0x15777615, 0xad82f1ae, 0xdc742cfc, 0xb70adc33, 0x6162763e,
+    0x833a7bfe, 0x5e7c2a44, 0x9cea528d, 0x6b800ef8, 0x6a1c3628, 0x4bce7812, 0xe0b687ea, 0x9367c91a,
+    0xa3c1733d, 0xa9f3956e, 0xfde4864c, 0x0f169f22, 0x7f7b29d1, 0xf60f1c60, 0xa4caba43, 0x14885865,
+    0xbafe7f63, 0xb9539d29, 0x547e8ba5, 0x63b036ac, 0x8bc63fea, 0x84f00bdb, 0xf7df6663, 0x4d183f46,
+    0x79ae33cc, 0x1d73f1d3, 0xc62ad3a5, 0xdbf75f40, 0xd16d519b, 0x37004f83, 0xb01bebc9, 0x11e7a4f8,
+    0x82a90a11, 0xc3972842, 0x2a398cb0, 0x991849d2, 0xbfe26d73, 0x894aa3e6, 0x69d89d19, 0x1698404d,
+    0x7bf3d298, 0xe536120f, 0x4757e5ea, 0x4cbadece, 0x10c5fb68, 0xcd8da99e, 0x9ace63a8, 0xcd576d29,
+    0x974e71c8, 0x7f562f3f, 0x7adc157a, 0xb4e34fa9, 0x8dbfb375, 0xe77530ca, 0x761c274b, 0x30e622b9,
+    0x15320066, 0xfc279e9e, 0xdaed016e, 0xba3d8bfc, 0x4cf30e13, 0xb50d6ec9, 0x3e063494, 0x1b8c138a,
+    0xf72661bc, 0x492a3502, 0x5e9aea27, 0x1db028f3, 0xc819528d, 0x3b107dc8, 0x1c576ab8, 0xb107711c,
+    0xa7f1b503, 0x2c7eb4b4, 0xbd97e7d9, 0xc95a8f54, 0xa280a28a, 0x38338ffd, 0xa0d23536, 0x52483fd9,
+    0xa2678b82, 0x97959674, 0xf7cd60c5, 0xd9974cc4, 0x7c9dc568, 0x87a7202c, 0xc067ceb2, 0x18cb9b54,
+    0x610a6027, 0xe9fd5943, 0xf8fa7b13, 0xe11e8413, 0x0652659c, 0x8512092b, 0x5e44c940, 0xc7e24c14,
+    0x4e28edd5, 0xef93c94e, 0xf31ee88e, 0xb4312765, 0x027cf234, 0xa7561798, 0xe99c67dd, 0x4d5dc6ea,
+    0x2e9e2999, 0x81f0cfcb, 0xd7776bc3, 0xfd6be7df, 0x4ec2607f, 0x4265334d, 0xae938198, 0xd04ab828,
+    0xc3ae0b9a, 0xbd1d00bf, 0x91943312, 0x6e8111e2, 0x5b9c698b, 0x9c3f4bc5, 0xe5f459b7, 0xcc1b75f2,
+    0x1a434d96, 0x3a2a8a7a, 0xff2b19ca, 0x69ff2528, 0x0da62711, 0x7e2856f3, 0x5d14e379, 0x3b56f0fd,
+    0x707d169f, 0x3ab88883, 0x3bedf051, 0x3bc078e7, 0x4174da69, 0xb3ac5d95, 0x1c6e180c, 0x54e57e80,
+    0x2916f237, 0x69fe000b, 0x8b7265da, 0x587d4b23, 0x7b2c23ce, 0xebad3145, 0x437f5386, 0x9e7b0400,
+    0x97d72e80, 0xd4d8db7f, 0x9456b013, 0x4d008cf9, 0x9e64da14, 0x708704b1, 0xcaeb3eef, 0x1bbc9139,
+    0xed582d9d, 0x9141f705, 0x5928f527, 0x31d2c7de, 0xa23c90ad, 0x7efb22f6, 0xb7feb5ca, 0x91d88c5b,
+    0xf3c7f1c9, 0x321ad994, 0x8272e938, 0x799bddff, 0x778c97b5, 0x5208f032, 0x8920005e, 0xb4a22fb5,
+    0x441436bb, 0x7deeeeaf, 0x70608194, 0x4d7f5358, 0x9fc00f7d, 0xfc8dc74e, 0x50e241e7, 0x92967de4,
+    0x5b5d6c99, 0x527d4941, 0x4c5bac96, 0xafc321fb, 0x72058a71, 0x82154f60, 0xd7d81da4, 0x3e283899,
+    0x6eadb194, 0x77292339, 0x4431ee71, 0x3187e161, 0x2caa5489, 0x3aba68ef, 0x62301074, 0x4b97ac02,
+    0x49e5b217, 0xe2a828e2, 0xfef71e1f, 0x644c7f03, 0x031631dc, 0xb54c535b, 0xe4324979, 0x252eb7fe,
+    0xf0fc3d51, 0xf603e3be, 0x8e8ee108, 0x82fdcafa, 0x04714d1c, 0x7f1831db, 0xfcf64803, 0x0bdb80eb,
+    0x34850981, 0x8465669d, 0x4f4be825, 0x2cedba0c, 0xd9503f40, 0xd434129b, 0x00d99a85, 0xd9d2f46c,
+    0x4dbb595d, 0xc24f25c2, 0x3cd14b06, 0xa40a5508, 0x55ad204e, 0x9b4e2046, 0x6833baf3, 0x702a8942,
+    0xf22b0516, 0x05bfb09e, 0xca21f77e, 0x6d54bc87, 0x04b1142c, 0xa7dfcfcc, 0x7f6dc0d7, 0x5442310e,
+    0x3f65d212, 0x25e5bff7, 0x14b07725, 0x57404913, 0x48e2dbc9, 0x083f95aa, 0x58b0fd80, 0xa15b91d7,
+    0xd55441d5, 0x5175d5d6, 0x881a7904, 0x1c79d5c3, 0xb6fd9505, 0x0cdd86d7, 0xc31d5b96, 0x0f39bd1d,
+    0x9a305afa, 0xbcfd9729, 0x3fa4371e, 0xa8f21db8, 0x2d3c7e1f, 0x66928ecf, 0xa1b55c84, 0x9e32ee94,
+    0x839ed8fe, 0x8abec732, 0x9554c059, 0x27967f43, 0x74487533, 0xaa44d4b6, 0xb4e1cbed, 0xaab742fd,
+    0x3500d072, 0x26243d48, 0x7a9b7135, 0x93da7623, 0x5328f68e, 0x828be484, 0x64e337e1, 0x6dee5571,
+    0x09a2b89b, 0x4c353891, 0xc80e6d29, 0x60e39b9d, 0x1e3cde82, 0x46d42f0e, 0x6717f210, 0x4d6059da,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000384785216761664836057412500977964978\
+                         56523182881313912761668255277583712667477744737709244389536050430475222646784 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed,
+    0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c2, 0xce833287, 0xef4eea8f, 0x9d1f125f, 0x55b1d684,
+    0x00000000,
+    0xf1e037f8, 0xaffa17f4, 0x40ff3b00, 0xfa36b3b0, 0x2e2b545f, 0x2a53da01, 0x89be50f8, 0x8aa2f548,
+    0x0e1bfa39, 0x5d5bcb82, 0x22641963, 0x70dde12a, 0x3c9bd572, 0xdc782492, 0xb4882f33, 0xa08efad3,
+    0x7316b5ec, 0xf8f692f3, 0x57f63b94, 0x0a131428, 0x8b9c0138, 0x2da2e86f, 0x6a1fc00c, 0x449034f3,
+    0x1011f831, 0xb9932870, 0x06dfa858, 0xc71d34c9, 0xd201b46f, 0x4637faeb, 0x9fd1f99f, 0x9e42648f,
+    0x8d85fe06, 0x89aaf91a, 0xcb125f1c, 0xb8c4bb5c, 0x33724be7, 0x44bc5568, 0x76bd71a7, 0x17e35640,
+    0x9423f937, 0x0aa3816a, 0x48e4bd22, 0x5e58e4ee, 0x69650b12, 0x1b354d90, 0xc6b785bc, 0x33b92f99,
+    0xfe0ef7e2, 0x50ef214b, 0xb2ca5f03, 0xa3c26a86, 0x0a0d2503, 0xc14eaa18, 0x21318370, 0x3c4ed1ad,
+    0x3709ace3, 0x04ad0c1a, 0x7d070807, 0x6f887abd, 0xdc0c9999, 0x9365521b, 0x33402731, 0xb88c667d,
+    0x8af7d26a, 0x6f405941, 0x630cd74c, 0xc71ab9bb, 0xe9162121, 0x38d93b1f, 0x0c223cd5, 0x3d449437,
+    0xa6f19d3d, 0x1ce59844, 0xcefdea24, 0xef58bed9, 0xf88b2d18, 0xfca6e502, 0xeb93b62a, 0x2dcfc827,
+    0x583d8429, 0x2e1decab, 0x212e34aa, 0x315a0f87, 0xdf6db295, 0x0b5b44ac, 0x5190130a, 0x3d3ef6d6,
+    0x7912765b, 0xdba5d71a, 0x46ff9d46, 0x6c970f62, 0x5a12a990, 0xc9273714, 0xb8d972b6, 0xec6b2d74,
+    0xbcdef7ea, 0x01dc33d9, 0x49a15059, 0x09fb2dd4, 0xbbe1682c, 0x86bd56d7, 0xc7dfd2b2, 0x8eb43e07,
+    0x7efe99cc, 0xa52f91ac, 0xb5cd8ec5, 0x2f699c10, 0xa86b686c, 0x70e5465d, 0xddaa82cb, 0x9697420b,
+    0x487d09b4, 0x1428c08d, 0xecb7ae58, 0x7ea384cd, 0xcd7052e1, 0x0c65884a, 0x986887ea, 0xb130d914,
+    0x6c1ccbf4, 0x73f8ded8, 0xc8baf8ad, 0xf38d889f, 0x10014cbc, 0x1cf2f767, 0xca1860ac, 0xbe4db96f,
+    0xedfb36fb, 0xa7138b97, 0xee12c9ad, 0x1b022cf1, 0xd7833c28, 0x296e13b9, 0x7020f417, 0x4dd3ff93,
+    0x081584ff, 0x87027093, 0x14cf90c6, 0xff5c0fef, 0x86715c44, 0xd2c5db5d, 0xf9b0f8c3, 0x9b2ca0f5,
+    0x5dc3d8b5, 0xaff77c8a, 0x0484dee3, 0x93d0ce5f, 0xdbf71271, 0xd0fd5a7f, 0x6740942a, 0xf10da7c5,
+    0x5c0c51c6, 0x8951c841, 0x79e0f439, 0x51c4c312, 0x36701e79, 0x4ee2b492, 0x638ee0fa, 0xeeac2210,
+    0x5135093b, 0x058231cc, 0x17302062, 0x0f13669e, 0xd72db5f0, 0x2c05b6fd, 0xbee7d1ba, 0x3202803c,
+    0xd8267f68, 0xa0f4c38b, 0x088344b0, 0xe7dcfb4e, 0x082f5e0e, 0x228d9b13, 0x0a5f8578, 0x719f42e2,
+    0x8148aa84, 0x5161c6cd, 0xed67a2e1, 0x7e44d47b, 0xde0a958c, 0x4913cc67, 0x6884b03e, 0x5709b506,
+    0x6a5affff, 0x70d5c336, 0x4baf6125, 0xe60726dc, 0x346af9b0, 0x414d1932, 0xd1c97766, 0xd64bd46e,
+    0x96d6b9f7, 0x1917a259, 0x5988d280, 0xe138b9c8, 0x05f7113f, 0x60b3f3a3, 0x515cfa7a, 0xd09af3e7,
+    0x7a9eeaa9, 0xba67148d, 0x4baf6138, 0xe63e87b0, 0x5450b01c, 0xb70369c8, 0x447102d1, 0x11e0e74b,
+    0xcdc743f2, 0x02052f6c, 0xc2fd53ea, 0x5079d263, 0xd9c60d5b, 0x13cd1813, 0xda90f747, 0x43f2f52b,
+    0x1ab2a7a4, 0x262b4807, 0x32f6cac7, 0xc94675be, 0x4f7de116, 0xf5d6c8fc, 0x7b25a5f2, 0x8df19795,
+    0xc457e8a1, 0x1ff322b9, 0x437227ad, 0x682d5469, 0x146efb4f, 0x7c049ea0, 0xf259583a, 0x77dee7ac,
+    0xdeb84aa1, 0xcb0e7fc4, 0xbe72e468, 0xa00ee0cb, 0x0ae6e804, 0xdec5266b, 0x02e6b20f, 0x1dfb04a2,
+    0x300ccb65, 0x9fea54b8, 0x5dc3c326, 0x4a964627, 0x45d7ea69, 0xebb9b7fd, 0x05c5335d, 0x0ec99fd3,
+    0x31d7d17a, 0x15eb40dc, 0x29e852b0, 0x4b9fc137, 0x0d090b10, 0xc23a7418, 0x0461d420, 0xf781b8e1,
+    0x0f5d8e8a, 0x6bd56311, 0x3f18e09d, 0x89006218, 0xed6d9811, 0xac5d64c1, 0xbb11a533, 0x3049e63b,
+    0x3bbfaa02, 0xa5f4b229, 0x91c77f9f, 0x8599e516, 0x67d82f34, 0xf365866f, 0xf55b9eeb, 0xa01a2299,
+    0x4881c5de, 0xd6a8270a, 0xf3e64d7c, 0xdef10636, 0x7a12f8d4, 0x35b5c5af, 0x34e4fa0e, 0xefa165b2,
+    0x0284e34c, 0x47b565c6, 0x6eee7e50, 0xe3247ae0, 0x71f15d87, 0x24ef7a4d, 0xb08ba8b2, 0x90465efd,
+    0x246fe320, 0x05f3b432, 0x75596ab7, 0x74828521, 0x4711a25e, 0x3a0319ae, 0x9409132c, 0x1bffb7ca,
+    0xc4ff36ce, 0x64dd0407, 0x85ed1db6, 0x64dc3af8, 0xc9d63f5f, 0x032e5959, 0x776ee7e2, 0xc4d042a2,
+    0x342d3214, 0xb364ba13, 0x402355d1, 0x06155328, 0xa7f8e704, 0xe426acd2, 0x9ad805ae, 0xd4337bb8,
+    0x43881cc5, 0xf6b2a9a2, 0x7204b6c6, 0xbe4a7584, 0x30eaea4c, 0x168c9a38, 0x725dbc70, 0xcb532547,
+    0xd006a512, 0x5c9b7f8f, 0xdc23391a, 0xd56000ef, 0x6ddac2a7, 0xa746a155, 0xbbcb23ff, 0x4de83b14,
+    0x1144e626, 0xf498e681, 0xcd2aaf79, 0x8f97cd92, 0x208b294a, 0x184d95cd, 0xa051e033, 0x2d94e4da,
+    0x2128f301, 0xa0e0b03a, 0x76c439e7, 0x91adb868, 0x6ec62d87, 0x7097fec5, 0x99bfa196, 0xf28e2b1a,
+    0x05f84faf, 0xe2e52dbc, 0xba2f7f73, 0x9457d520, 0xa8eccbbe, 0xdb151a58, 0xbcc907ff, 0x156f598e,
+    0xed3e7490, 0xb772bb4c, 0xf2a50ce8, 0x11356517, 0xbceca0dd, 0x65e933ca, 0x3c450a6a, 0xa210eac4,
+    0xcdee4504, 0x3bc6a7ab, 0x17d6a2be, 0x07c14fdb, 0x7c9e5a74, 0x5adcaad2, 0x0f6507a2, 0x859dfefe,
+    0x314f6f2d, 0x3ef8d55b, 0x6718c7d9, 0x95528088, 0x732c9b88, 0x0d1e5668, 0xd7d669c1, 0x42eb8c25,
+    0xbcfc9537, 0x5db6ad31, 0xf7534c3f, 0x8f849f82, 0xa78ec3db, 0x15fdc14e, 0x306d855d, 0xc054b167,
+    0xb953888f, 0x701fce41, 0x83453c69, 0x51249bff, 0xddb1781a, 0x48277ce1, 0x05b69798, 0x0dfc7f62,
+    0xa79c2a5a, 0xd8055bb8, 0xbe91b985, 0x28072b09, 0x70d747bb, 0x13b30948, 0x950d002c, 0x859e417d,
+    0xdc84b67e, 0x8d49a853, 0x0391c8cd, 0xf258895f, 0xcb3cf0fb, 0x3804016f, 0x3b6f5949, 0xf5a7294d,
+    0xbf43f139, 0x473e3268, 0xbbd66f6f, 0xb85f2269, 0xf900ba66, 0x7b17e742, 0x3e820b25, 0x27abb72b,
+    0x2aa84174, 0xeb918cf7, 0x4b1b9d27, 0xa05053ec, 0x56ebec39, 0x875d3756, 0x4c54aae1, 0x6e7a4e85,
+    0xc45a2b6e, 0x59f10ef5, 0x2d312446, 0x08c37df5, 0x70fa9b5e, 0x4f3d791f, 0xa400b99d, 0xe5e5b34f,
+    0x7cd53192, 0xe3cf1c1d, 0xd1090d06, 0x50cd0c17, 0x269219bb, 0x8a837ab9, 0xd7715a40, 0x6b51e648,
+    0x06a9279c, 0xf5e2d2a4, 0x8188d10b, 0x4abff8eb, 0xed90fd0f, 0x27e069e6, 0xd2090f6b, 0xb64bb04d,
+    0xb947c552, 0x5ca12e02, 0x3af172e8, 0x4979aa1c, 0x29f758ea, 0x8aa6d22e, 0x6313e3b4, 0xdfbf377c,
+    0x77521736, 0x07904089, 0x6eff9f15, 0xcd710913, 0x2e6a3ea9, 0xc2f6a270, 0x4fd7615c, 0x953e4608,
+    0xd892714a, 0x02a93f73, 0xf2052364, 0x99f74bef, 0x7a29c8fe, 0x2608a67f, 0x73eb0903, 0xbdec97be,
+    0x3d7c50cd, 0x3b79a43c, 0xb518341f, 0xbe8e5401, 0xdec3f8d1, 0x57c23639, 0xf515a9ac, 0xb672f87d,
+    0xc4e0fa99, 0xb9692c2f, 0x3e1175af, 0x901761ba, 0x3da2061f, 0x81528ff3, 0xe4e84791, 0x8cce8d72,
+    0x3d3dbb22, 0xe8d44022, 0x69cc7fd0, 0xaafe0585, 0x56e9bddc, 0x33db21b5, 0xcf51fc48, 0xc38fc844,
+    0x2c2809e5, 0xb2296574, 0xf9e7b26c, 0x8f55dcb5, 0xf016200f, 0x3c557fdb, 0x75884677, 0x6c180ef3,
+    0x57438179, 0x406e196a, 0xe003684e, 0x873d4795, 0xb0f49839, 0x136084c7, 0x9a4c07c5, 0x58383905,
+    0xb098b1de, 0x40d12bd4, 0x6cc6a47c, 0x0f7b7763, 0x490fb5f7, 0xacd430ca, 0xe66cde44, 0xcadd3d33,
+    0x3825c765, 0x9e578e25, 0x3a93d8cb, 0x6add8855, 0xaaaa4dca, 0x6e670921, 0x089efcd5, 0x8464ed1d,
+    0xceafe849, 0x28ef76fe, 0xc4c72e75, 0x71b0c5c4, 0xce5776f1, 0x2f4907ae, 0xd2366ad6, 0x28b394d4,
+    0x956367f2, 0x0101d473, 0x154c9675, 0x76edc01c, 0xcd543568, 0x84f58f5e, 0x408d810d, 0x4dd29848,
+    0xd2abcf11, 0xd2ec34d2, 0xe016cb7e, 0x8564d2a4, 0x70745e2e, 0xaf02e980, 0x0b5bc0c3, 0x86630146,
+    0xeb9b4e5c, 0xfd7184e1, 0xea7ade87, 0xf235222c, 0xb480b6f3, 0x748d9310, 0x3b2aac8a, 0x2c0ad1ba,
+    0x5b01725a, 0x6e6e74dc, 0x471bcfc6, 0x8a17aac2, 0xa350a52c, 0x6be32e0b, 0xe861f2e8, 0xfe247e3c,
+    0x0cd7ee7f, 0x9e833a9a, 0x2fb5a0d3, 0x9db9f8f0, 0x18a3bd9d, 0x2d3742bc, 0x09265aab, 0x437729ce,
+    0x84031d41, 0x699a9b99, 0xb1abb8d0, 0x34918f43, 0x903b93a1, 0x83c5f507, 0x2ac4ec39, 0x6dda704d,
+    0xa480e050, 0x2ef0c27f, 0x92f7c517, 0xd48c7089, 0x4953a821, 0x6e042880, 0xea120df8, 0x475635d4,
+    0x57144dde, 0xd6a0bcbe, 0xc5934f99, 0x8449ae5a, 0x5f3892cf, 0xcb39cb04, 0xce37fbf1, 0x64e8d033,
+    0xfe022def, 0xf17d0b34, 0x26e8bde5, 0x83bf81b7, 0xc52a25de, 0x1a7ca23e, 0xe63931f3, 0x25dba3b4,
+    0x613668ab, 0x2a8b5beb, 0x497ce9cc, 0xc5f6fa1d, 0xa903ff87, 0x20f0b182, 0xdcb9fb93, 0x1122ae66,
+    0x6186996f, 0x38060030, 0x8aab6227, 0xe1388567, 0xe9fd0f2b, 0x7698cb41, 0x169407f7, 0xf152b622,
+    0x29936545, 0xbf858d69, 0xd54e02e8, 0xd1bae5ea, 0x10f3c741, 0x85a433bb, 0x5f31d5b3, 0xa01af2d5,
+    0x95b529dc, 0x29830b61, 0x3c3d4b7d, 0x3b04e41f, 0xd47d62c9, 0xe063d65f, 0x388a9564, 0xc1432c7f,
+    0x44e73a41, 0x91af3d42, 0xa3471e29, 0x43baa3cf, 0x5750f023, 0xe73782e6, 0x3a8a39c2, 0x8b136f7a,
+    0xe231b16b, 0x099eed03, 0xbb799665, 0xb87711d8, 0x24f150f3, 0xcb317c43, 0xc66c0f89, 0xdfcce42b,
+    0x08f68a6a, 0x156a5594, 0x53b15bc4, 0x64a9e0b3, 0x153178fb, 0xe674c008, 0x3134f10c, 0x9a741134,
+    0xaf3f7bab, 0x7abe2e5d, 0x62f7a6a8, 0xada841dc, 0xf94f8955, 0x211c3648, 0x9eab3b85, 0x88af953c,
+    0x72260711, 0x90ce93d8, 0x6d4ed598, 0x5b6b887b, 0x47e1de3e, 0xc74124d6, 0x739ca9b1, 0x2be55ae3,
+    0x22203747, 0x890d3012, 0x13be26cb, 0x8e367130, 0x98694d60, 0x5cbd803c, 0x951cd622, 0x926c708a,
+    0xf65252d6, 0xa64e6e8b, 0xc08836df, 0x23e127fd, 0x1a1988c1, 0x05156a03, 0x192b6f5b, 0x37b9f97a,
+    0xcf3e5f67, 0xae0c7eb2, 0x525f5c93, 0x1f7e06f1, 0xcbb28456, 0xe0ce09d0, 0x0ebfd55a, 0xedf0df8a,
+    0xcf552a60, 0x4ff5a22a, 0x538b0003, 0x26b295be, 0x4dc74cd3, 0xca23e8e5, 0x6374bc2c, 0x489b2cc1,
+    0x9dd0b631, 0xb898c27e, 0xabc82ef6, 0x397dec61, 0x17ce571e, 0x6f5cf58d, 0x7333ae21, 0xd5b584b1,
+    0xe95e775e, 0x317edd0e, 0x5371ec0c, 0x9acd3d0e, 0x6ab45be4, 0x933e4e81, 0x047524ab, 0x2c580241,
+    0x2822714c, 0xdfeec445, 0x049430b8, 0x57265913, 0x914a80d5, 0x7319b70c, 0x555dfded, 0xde2ae52d,
+    0x2fe201ce, 0x80dbad6d, 0x57ed3d12, 0x4d4ad7f2, 0xa51b523c, 0x3c00d473, 0xa2472019, 0xc9224301,
+    0xe5cabfe5, 0xf7595fe2, 0xc2874e99, 0xc6d9d3bd, 0x5d6e45df, 0x5e4212eb, 0x2fd14fc1, 0xea4f6b9b,
+    0x53e73abb, 0x3e90f451, 0x8fb251a1, 0xf8658a50, 0xa23b15a5, 0x15d529c5, 0xa34ea627, 0x0cc7102d,
+    0xb6ca1481, 0x5d440455, 0x2606e888, 0xc347ce72, 0xc8bb94fa, 0x28365834, 0x213d444e, 0xcecab052,
+    0xae72c9f1, 0x2da2de1d, 0x085be08b, 0x9d0556dc, 0x50242c6b, 0x17b49fa5, 0x84fd610c, 0x54eee0a1,
+    0x2921c292, 0x4c13fcb8, 0x457ef5ce, 0x13e56c63, 0x881ee25e, 0xc4f57898, 0xa362d180, 0x875e14b5,
+    0xdd80fb21, 0xcb813609, 0xebcee1af, 0xbe23e579, 0x7be7fa73, 0xdfb472b4, 0xb11ed99c, 0xd6d61bdb,
+    0xaf2e1bb5, 0x6c8ea94b, 0xa677ae6e, 0x3bf10830, 0x9ae20d06, 0x432e8f9a, 0x87b1428d, 0xb4b51eac,
+    0x39d1a005, 0x2da1b7ad, 0x780bfe85, 0xa977b1be, 0x042ac9f9, 0xa5cd79e3, 0x4a1f311c, 0x84544306,
+    0x6549991d, 0x2c77af7f, 0xc6fcc49e, 0xa9391a83, 0x84d31164, 0xd28c8f78, 0xb2330117, 0x80060871,
+    0x08aac0db, 0x95eedd7f, 0xee351f40, 0x63ebb7a6, 0x174a005e, 0x56a175c8, 0x79eb6f10, 0xb214074b,
+    0x5ea6c204, 0x3b1a5afe, 0x47352b11, 0xaa560fa8, 0x13161a01, 0xf865b1b1, 0x083d4813, 0x51580437,
+    0xac9019ae, 0x7efaae11, 0x03c8130e, 0xbed0edcb, 0xb1d066ff, 0x15e75f1c, 0x854ac2bd, 0xbf07d48e,
+    0x365f6e7d, 0x565fa067, 0x2ad370d2, 0x9e949394, 0x8bac32f8, 0x1912b54a, 0xecd9ab13, 0x1a076700,
+    0x4f8f02b3, 0x577cd91b, 0x5d462ac6, 0x3109b860, 0xdf24ec7e, 0xf3dc9514, 0xba911468, 0x710a8e82,
+    0x5e14c5af, 0xcabdcc4e, 0xbe0a0d6d, 0x51875557, 0xe80191f6, 0x01e34f9b, 0xfceefd8b, 0x7e7eb913,
+    0x4b959db2, 0x9a08805b, 0x512c604e, 0xd059a12a, 0x55721ca7, 0x7af1b872, 0x9f908df0, 0xa450595e,
+    0xf705471c, 0x6001d23e, 0x28fedce7, 0x46b62a59, 0xe2225c41, 0x132ddc63, 0xeb4bc779, 0xcc7ebeec,
+    0x2c4ca817, 0x991b0cfc, 0xd782ff64, 0x15752922, 0x3cd70260, 0x1e430829, 0xbe6c67fb, 0xa6391840,
+    0xb726f5c3, 0x50ac624d, 0xc181fe6a, 0x2a3b525b, 0xfa6818cf, 0x8c39aebd, 0xf66b794d, 0x3b90d9b8,
+    0x37068e46, 0xbcd79fc3, 0x96e3f8dc, 0x30e9c56d, 0x38079b9e, 0x10e58c7c, 0x8e645ce7, 0x96119599,
+    0x95e5e8df, 0x51172305, 0xfe2ba7a9, 0x45a600aa, 0x9683ae26, 0x2edd54bd, 0x3b3ee27c, 0x986ae545,
+    0x3800e4c6, 0xb722f061, 0x7136b1cc, 0x86eb74fc, 0xbe155242, 0x6e251c48, 0xba9ed7fe, 0x9f8ef342,
+    0x29ac680f, 0x2d6480f8, 0xdc5a53b1, 0x12bdf2be, 0x6c22b42a, 0x52e94d6b, 0xa3777fc1, 0xf5018674,
+    0x36a82980, 0xb1e56b4f, 0x5c606d70, 0x3fb4639f, 0xbd42c907, 0x8ad4af1f, 0x60fa95bc, 0x499c441a,
+    0xf2bc4427, 0xa151f042, 0x83aad2f8, 0xa373899f, 0xc450ee01, 0xd8c260fa, 0xc1e99487, 0x56309e84,
+    0xf66d282b, 0xa595bdff, 0xdfb621ac, 0x228f6f40, 0x976764eb, 0x0523bc1e, 0xdfbfe01e, 0x60d7db00,
+    0x90e61fba, 0x7437dc81, 0x52ba66b1, 0x6b519ba3, 0x52c6e03d, 0x4821c97a, 0xff966a8b, 0x44c8ab82,
+    0x02e2959d, 0x8d33d20e, 0xf03c1982, 0x2e0b3fb3, 0xee95e6f8, 0x794afcc1, 0xbd923439, 0x944d18f0,
+    0x556442eb, 0x86bafe9f, 0xf1582fa1, 0x64145393, 0x1dcee740, 0x0456d3d8, 0x79e775b6, 0x88292c98,
+    0x8f4c87bc, 0x0d04e753, 0x9e1aa93a, 0x6edcb725, 0x09441d3d, 0x76832a6c, 0x14f712b2, 0x4d2ddbac,
+    0x66328f2b, 0xc45f4756, 0x5d7229ab, 0xdc5489ce, 0x01e88f52, 0x42e78997, 0xcdf67a20, 0xceb75868,
+    0xfe6c8225, 0x35ef0997, 0x2f561b3d, 0x9b92ae9f, 0xfe3f074a, 0x3534a9d2, 0x41d298e8, 0xb98fc517,
+    0x6c823a01, 0x3a204727, 0x273539a9, 0x115f91fc, 0xe331660f, 0xc0177aea, 0x165c88fd, 0xe13e6ab2,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000192392608380832418028706250488982489\
+                         28261591440656956380834127638791856333738872368854622194768025215237611323392 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6,
+    0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e1, 0x67419943, 0xf7a77547, 0xce8f892f, 0xaad8eb41,
+    0x00000000,
+    0xf8d675d6, 0x6f160527, 0x052d846c, 0xb192aa22, 0xcc1b36be, 0x0ae42ec6, 0x616609aa, 0x8780cec6,
+    0x29fdd348, 0x134fec3e, 0xf7a2e357, 0x149c1b88, 0x8bef1eee, 0x3989576d, 0xcb6d5ee6, 0xf51afe5f,
+    0x749f8f83, 0x4e697d41, 0x5ad73b81, 0x5f426d58, 0x870a7dfb, 0x6e1f5ba5, 0x1216076d, 0x915e8cef,
+    0x9dba6f55, 0xb27751ef, 0x0436ba8f, 0xffdd25f0, 0x9d2795f9, 0x07c807c4, 0xdfdc7517, 0x05dc8599,
+    0x322b2b6f, 0x1b72116b, 0x55a5ff43, 0xa5e5d8a3, 0xa83879e0, 0x355f98dc, 0x9c85af9f, 0xdf010830,
+    0x5f57c10d, 0xc4524d55, 0x9187c7b6, 0x26841db8, 0xd1c13edd, 0x4f9094ff, 0xd6173c57, 0x3f4a4bbc,
+    0x68f8217d, 0x07b787cc, 0x568b7e04, 0x83c1b57b, 0x44f6295f, 0x5d8a4544, 0x67ee91a2, 0x65372251,
+    0x325f2e86, 0x20bcdba9, 0xce01691b, 0xeef250b6, 0x223060a4, 0xc7ddaece, 0xa0b05fcf, 0x5cdf36d4,
+    0x429990fc, 0x8667172f, 0xc7135b97, 0x844cd324, 0xc41541a0, 0xafd16158, 0x30d93784, 0x8941e6e2,
+    0x34264817, 0xf33158fd, 0xd37ba451, 0x53a56e62, 0x476ba212, 0xfd280434, 0x8665dd42, 0x2987da96,
+    0x51c6ea9a, 0x2b8d7cc3, 0xc8670385, 0x73b0fe85, 0x7e224310, 0x7f92dcb1, 0xae540b1b, 0x51b64f59,
+    0xa77ecd8d, 0x9ccbe66b, 0xef7eeecc, 0x8056aa1f, 0xccbcabf0, 0x60493edd, 0xf53f8b0d, 0x8da52bf3,
+    0x840d306d, 0x0edc5606, 0xcf19b4d0, 0x72696ab3, 0x8539e813, 0x71040f66, 0xe0f318b1, 0x4224ea47,
+    0x611a6a9d, 0x02b80004, 0x1a5bb3f1, 0xd8c23875, 0x1edd5356, 0x97f19c0d, 0xfe1df9f3, 0x15b80edd,
+    0x83e45046, 0xa62675ad, 0xa8a9125b, 0xb40f24ca, 0x2b0b7b2f, 0xcbaaf4ca, 0x1e481c91, 0xedd7cca4,
+    0xb0b8a7bf, 0x65c006a0, 0x7015209a, 0x869cf031, 0xf850f9f8, 0x7da48a0a, 0x52b879fa, 0x7b3a3712,
+    0xf224ab6b, 0x9aadf082, 0x67cfda6d, 0x95a6a517, 0x7aca8a2a, 0x909c386c, 0x595be4a9, 0x9dd90a76,
+    0x22241f6c, 0xb787bd54, 0xdea080a5, 0x35eae890, 0x3ac913fb, 0xdf3947cd, 0xfd039596, 0x53b64baa,
+    0x0a0c7305, 0x06072f12, 0x08c8c897, 0x7920b2af, 0x23cd437d, 0xb61be896, 0x77c01d29, 0xf7c3392f,
+    0x6412861a, 0xe6399ce5, 0x8500474a, 0x597eecd8, 0x6f3ee015, 0xc919e767, 0x43a1def2, 0x20a68225,
+    0x336238d2, 0x8231f2fb, 0x2dc36608, 0xc4d8a72a, 0x20b3cb74, 0xa3332c97, 0xb3f35ac9, 0x55b5b2b3,
+    0x239d222a, 0xa5cc00f0, 0x1974b9b2, 0xedce1625, 0xa20fbb16, 0x04b453b8, 0xedc10809, 0x8de3a960,
+    0x64f57d80, 0x32de378d, 0xf67da014, 0xf5c92b1f, 0x1b674ecd, 0x1592bdf3, 0xb3a2085d, 0x62687111,
+    0x0d26f2e1, 0x286258d0, 0xab683b97, 0x9fac148a, 0xcb59618b, 0xfaa8189a, 0x70eeb384, 0x5756f479,
+    0x63eae5eb, 0x5500f8c2, 0xacb6b246, 0x0b405496, 0xeeedc8e7, 0xd2f9b310, 0x2e84dd97, 0x4d99346e,
+    0xf8ab43c4, 0x6982cf04, 0x6a3257a8, 0x9cd91eb9, 0xcc4b49c3, 0x7698127e, 0x48d264c8, 0x1f94aa0f,
+    0xf5389258, 0x5364c326, 0x8f23aed8, 0x84cdadd4, 0x0c5950de, 0x5bbf0fef, 0x2331f447, 0xc39688d6,
+    0xc0b163e2, 0x15491c46, 0x3135049d, 0xdc0afc19, 0x78686d31, 0x81ce95af, 0x6026e104, 0x0c31c5b3,
+    0x7870d170, 0xc84d15d6, 0x36d22194, 0x06626fb8, 0x0dcf3974, 0xb1557193, 0x2b97a04c, 0x1fe08498,
+    0xde88f862, 0x3f504074, 0x4fe407b9, 0x58cd7a96, 0xdbd84c5d, 0x175bc1f4, 0xe62cba64, 0x49f37086,
+    0xf1406f49, 0x4ae7bf58, 0x61a9689c, 0xf99a4179, 0x0c61d0d7, 0xbea16756, 0xdcff255b, 0x7a61f0c2,
+    0x0c1a4ceb, 0x421db709, 0xa6bd9021, 0xd1786c93, 0xbf8c6711, 0xb3daa970, 0x4754e1fb, 0x2290ec8e,
+    0x4957bd49, 0xd3561b89, 0xfdee1621, 0xa1c453b3, 0x7976ee3d, 0x9f0f9d9b, 0x65b359a1, 0x7f584fed,
+    0x7a9e6270, 0x1b7f1aba, 0x1abc69df, 0x951d94a0, 0x92b5bcb1, 0x0432e3e7, 0xca84653f, 0x43cea5d4,
+    0xcdefc62f, 0x24132e9a, 0xa8d14ef9, 0xe47762d2, 0xf175777f, 0x65d9c768, 0x64bfe7ff, 0xef7773c1,
+    0x35a2cd94, 0xbcb3e461, 0x00f3e8f1, 0xb5e5ee41, 0xce2e64a6, 0xe71b0407, 0x271ac5eb, 0x5aa859c8,
+    0xa4583108, 0x9ef63067, 0xd5f5ea15, 0xe3b89a56, 0xa57cc82d, 0x830e56c2, 0xffd7c46a, 0xb6e21e55,
+    0x87a1d663, 0x6204c1c1, 0xad45f590, 0x4583c881, 0xc432f5a5, 0x4c7cf74b, 0x7ca986fe, 0x494291f0,
+    0x6b1c6e30, 0xa21adce0, 0xd32439cf, 0xb33df5db, 0x593863b7, 0x6ef6d44f, 0xb3fd2e96, 0x0fb1f0f8,
+    0xced1613d, 0x36619b1e, 0x2f78c078, 0x3e29d501, 0xb2266955, 0x02db498f, 0xfd97b87a, 0x08d2a612,
+    0xf47e207c, 0xd9963edc, 0xc04dae61, 0xd45b1fb8, 0x4cc5b256, 0xd43a7267, 0x2d288d15, 0x7a6b91bb,
+    0x47fa0e65, 0x13a566e1, 0x36bea0c5, 0xf4135d75, 0xebea8edb, 0x6cdb11ce, 0xdf8ce634, 0x8086e48e,
+    0xf4b540f6, 0x380fdf23, 0x9a511775, 0x7678e05c, 0x39b32254, 0x8c3ad70b, 0x33b8bfa7, 0x0e0109e5,
+    0x6cdd0db8, 0x6e7c01aa, 0x499319ad, 0xd86cbdca, 0xa1ae829e, 0xe35c53b7, 0x853bc65d, 0x3d2ab959,
+    0x6956e626, 0x9cecf420, 0x43d892d6, 0xe5d3f738, 0x040b48d6, 0x54a0cbb2, 0xa82666f3, 0xe896e6a4,
+    0x5eb563b0, 0xc340f6c5, 0xa2eb612e, 0x2ac9c3d5, 0x6e0a7062, 0xf806f7c4, 0x9add760e, 0x31a80a32,
+    0x9d3ef14c, 0x3773c630, 0x060adbcd, 0x47e0cef5, 0xf6ce4531, 0xbb820617, 0x01ea7b9d, 0x0b65b098,
+    0x66ac0fc0, 0xa0980c89, 0xa6fae63f, 0x6e9929ac, 0xe5adf90b, 0x3dfd47c8, 0x88c25acc, 0x87372fce,
+    0x27e166b5, 0x3d32faa3, 0xf9318161, 0x1f5f51db, 0x0e9e3231, 0x94029b79, 0xd2763891, 0xcf2f5544,
+    0xbbbad2e8, 0xb1390c4e, 0xe7042936, 0x2e21d601, 0xdf52078e, 0x5cb20501, 0x6054b573, 0x8229af21,
+    0xd30e662e, 0x4160f02a, 0xf3723005, 0x9c327bab, 0x23b6a042, 0xf1b316da, 0xd4077d8d, 0x0c3ef08a,
+    0x081c577d, 0x04001ba1, 0xc3d52aa9, 0xe226507e, 0x81d6d4f2, 0x93c18c3f, 0xda2f894c, 0x7ad0da0c,
+    0xe802e6b5, 0x9a0d41bf, 0x4a6c3556, 0x1886c0ce, 0x61be8e4a, 0xe606524b, 0xe7df64e3, 0xf8266a2e,
+    0xccf6c262, 0xc1000920, 0x3b97c3d8, 0x4143e65c, 0x874cab42, 0x2f542658, 0x9ced733e, 0x72a780ac,
+    0xb0fc3a2b, 0xc94a8c93, 0x4a49598e, 0x628da60e, 0xbb3fa112, 0x97738dfa, 0xe10b07fe, 0x9b1e128f,
+    0x9150d8fe, 0x81fd635b, 0x4d0466e1, 0x991c1d52, 0xd3add06c, 0xdd954bba, 0xe63d8b77, 0xc592d528,
+    0x78a68c91, 0x39edd46c, 0x339d3077, 0x3452a459, 0xd5f1cb85, 0x5b79d583, 0x5670e25c, 0x53e8d88e,
+    0x3db58fbe, 0xa8dc15b9, 0x5361a218, 0xa4992e2b, 0x6c57f135, 0x8146d5f2, 0x2c240a83, 0xc6aa76b1,
+    0x3ef9076e, 0x8abe9cf3, 0x296fb485, 0xf4e18d7f, 0xec6bdf7e, 0xbf409a0d, 0xe92fba6e, 0x29fefde1,
+    0xc38b01e8, 0xa69f0579, 0xd88c440a, 0x95dd5baa, 0x75b9988a, 0x25bffcb1, 0x4e76e3aa, 0x251024eb,
+    0x31be4a85, 0x7b5d9c8d, 0x6df3f7fa, 0x4ef3fee6, 0x560e8214, 0x479b1752, 0x59c50e73, 0xa04bca00,
+    0x274fbe72, 0x7dffcc3e, 0xc8e1cc66, 0x2353b144, 0xd300ea2f, 0xce766929, 0x2a83cbd7, 0xb6ca2cdd,
+    0xa770f7ac, 0x898f99d3, 0x722b40d4, 0xb6753e0a, 0x828cdd34, 0xd801656e, 0x2dd5cca6, 0x276af536,
+    0xe063e4a5, 0x8b0ce919, 0x946b8245, 0x6e1cb32a, 0x246976e5, 0x73a32413, 0x60c6cfbf, 0x4ec7b88a,
+    0xa230e434, 0x0b75bfcf, 0x12662a43, 0x50f2b163, 0x8497d1b4, 0xa443f617, 0x619214d4, 0x59e9d7b2,
+    0x93220c6a, 0xeab854ef, 0x24f17abe, 0x394df421, 0xf659b3b6, 0x0ce4c95e, 0x6b694693, 0xf9ecf3ad,
+    0xfcad187c, 0xe4a4e602, 0x39330a63, 0x3e475ae5, 0x6cc604c9, 0xdbcb052b, 0xb4fe6811, 0xdbd83c29,
+    0x2a83bce8, 0xa231ca1f, 0xf53baad6, 0x42c74835, 0xf91171ba, 0x811cf684, 0x6702fe2a, 0xa049eb6c,
+    0x6df29e56, 0xf61c9940, 0xe526a4c0, 0xa686e5b2, 0xb65f7141, 0x9e925cfa, 0x65aab6f1, 0x5077e227,
+    0xc561f9d1, 0x6356d7a3, 0x2eb52e63, 0x36465857, 0xcaecb932, 0x886425ef, 0xa430f26b, 0xb2e1dccc,
+    0x36c61be5, 0x39d7075a, 0x7188b18d, 0xe035b80f, 0xacd79231, 0x51bef459, 0x548f3000, 0xc78e57b9,
+    0x7b532a80, 0x82759db4, 0x50546117, 0x348157e0, 0xef5bd67c, 0x1b0659ba, 0xab621900, 0xce814863,
+    0x68797c7a, 0xbdeb6fcb, 0xd885e457, 0x9636796d, 0xab71287a, 0xc3d1ab71, 0x36574d06, 0xd342718d,
+    0xc402d6d2, 0x4bc34648, 0x91f9c97c, 0x1b321b27, 0x2355995a, 0x7c507098, 0x0ff6ff1f, 0x62cabd95,
+    0x84270450, 0xfb926062, 0x10ed2cbc, 0xf7dd400f, 0xfb938370, 0x200e673b, 0x9555e00a, 0xebd5d5c2,
+    0xe4912ff3, 0x754a841a, 0x4be62fd7, 0x306cb389, 0xdabf9a42, 0x34c43caf, 0x4d3968a2, 0xf2c18881,
+    0x3aa84fb3, 0x8d93d305, 0x71f79633, 0xfffbb961, 0x8b12dc21, 0x495d8bbd, 0x0f013e92, 0xee47c1f4,
+    0x57ebdfa6, 0x22fde11b, 0x3965a893, 0xf0797f14, 0xd3a58133, 0x087ecbf1, 0xc6177597, 0xad98c47c,
+    0xc616924e, 0x732dd79a, 0x9c9103ad, 0x1b8e8b66, 0x5e6e5e17, 0xa6f014be, 0xf2468852, 0x3e582bf1,
+    0xc20e70fd, 0xc4a58ea6, 0x5f3e4e4d, 0xfcd88755, 0x1e288dbe, 0x2fd419c4, 0x2fe2be9a, 0x68a39a61,
+    0x8c8473c4, 0x0114cdf8, 0x3f2232a3, 0xf099a415, 0xa26efabf, 0x59e3905a, 0xa12d2514, 0x7ca0b0ae,
+    0x8d74b17b, 0xeb5fdad8, 0x3b22632c, 0x98170aae, 0x32d7839a, 0xe4b3001b, 0xd9135d13, 0x5a3e745d,
+    0x9a1cd5ab, 0x8b95fddc, 0x4161470d, 0x917e7188, 0x4c5d3b3c, 0x193ef682, 0xcc78b8a4, 0x898fee0d,
+    0x48534fb2, 0x0ad84179, 0x0a848013, 0x836d0022, 0x7a73a20d, 0xf31d89b2, 0xca17da49, 0xd4e003a1,
+    0x942d1cea, 0xf97cd63e, 0x65ae52f9, 0x5e8fd503, 0x76ccc2f7, 0x9bfe55d9, 0xb87c0b79, 0x84685f51,
+    0x2f13593c, 0x8526a50e, 0x19228090, 0x06e814ef, 0x46016990, 0xd75693bf, 0x9f7b19d4, 0xf39241e7,
+    0x5434af3b, 0xa5be2b6a, 0x0ccad1a3, 0xeb547804, 0xdd148e45, 0xb4e530cc, 0x865f0e5d, 0xc3b21cce,
+    0x33150318, 0x9b3cb29c, 0x0954a938, 0xa653ffa8, 0x131e318c, 0x3e7c289e, 0x6b91c8c5, 0x6ed85b99,
+    0x2997e88c, 0xe243a9df, 0xab6aefad, 0xd3e49ef7, 0xa2c0830a, 0x6a8cf5b4, 0x7a2615e7, 0x61a2e51a,
+    0x83be9a3a, 0x01ea315c, 0x580f3fd2, 0x6ab36f78, 0xcf86dd75, 0x30c66ccf, 0x78243d9d, 0xb682638f,
+    0x9a196fe6, 0x0ba0c01d, 0x558e6a7c, 0x7a59a167, 0x3cbdec94, 0x6fa73d70, 0x622c20f5, 0x041bb3e2,
+    0x1c15a277, 0x1c9fe0db, 0x1e9404c2, 0x43b55525, 0x8b4fae09, 0x98b6fce6, 0x2f404198, 0x3e8e2497,
+    0x3f322dd6, 0x277010e0, 0xbffe0ac3, 0xc6467b17, 0x0108a414, 0x27eda24a, 0xd425f659, 0xaa5a2720,
+    0x6f2613e6, 0x565bfbe8, 0x03bad1c4, 0x4829262b, 0xe2094d7d, 0x8c9608c8, 0xca8e8e68, 0x0a118649,
+    0x01542f33, 0x3807dd1f, 0xdb28f412, 0x7ad55546, 0xe1ad2f2b, 0x7fa9e32e, 0x3b40f51e, 0x499158dd,
+    0x5a490120, 0x0ae87aa7, 0x7e244481, 0x18432ee5, 0xb8cbfa3f, 0xc9205302, 0x38c365d8, 0x85ac48c6,
+    0xc9358d00, 0x956b5a43, 0xd5eeac4a, 0xa448c191, 0x4e7dfc4d, 0x366c7105, 0x74214255, 0xe481560d,
+    0x3284ee21, 0x439ad57e, 0xfa7d87d4, 0x4001fd51, 0x46bd393f, 0x4fea2c18, 0x98e760e4, 0xe992e50c,
+    0xe9a955ec, 0xa4d2c947, 0x01ccc62a, 0x706b1b24, 0xf280be5d, 0xcc441837, 0xe60899e4, 0x233d4bfa,
+    0x70a57c0b, 0x1ca41899, 0x53523593, 0x025500a2, 0xaf7edd6a, 0x5056477a, 0x76db330a, 0x88a9dd3f,
+    0x875f8a1a, 0xb91e8d25, 0xf2e072da, 0x21ef95a7, 0x719e1210, 0x7acf6159, 0x6278cefc, 0x953b1fcb,
+    0x0e0403f2, 0x1bfd3416, 0xa4978996, 0xd9cdc6e5, 0xfc13e403, 0x514c5682, 0x3ceaf0ae, 0x54b1ff94,
+    0x13d7f18d, 0xb7a61141, 0x35cfb50c, 0x107828e5, 0x8e935b38, 0x02e4995a, 0x1dc75441, 0x7b78bf6f,
+    0x0dcb7191, 0xf9b3dcb0, 0x9b2d168d, 0x98924b23, 0xc2e382ad, 0xe513fe1e, 0xfa7c66a1, 0xccc47bda,
+    0xf33933ef, 0x79b94a6f, 0xaec18877, 0x376b3d79, 0xe94db16f, 0x099e3e56, 0x43f0a285, 0x00dadfd5,
+    0x057a696b, 0x4837e62a, 0x3d601571, 0x82100c84, 0xace7de73, 0xa97d418d, 0xab99f19b, 0xc22cf034,
+    0x97e9ad9d, 0xf18c4afd, 0xcf128443, 0xfbdb920f, 0xa576558b, 0xb283172a, 0xc0b447a2, 0x101819bc,
+    0x230625f7, 0x1752ce18, 0x8aceaa52, 0x6396ff76, 0x61bf49c2, 0x306dfe39, 0xc465ca8c, 0x4aca9dfa,
+    0x9c93f8b1, 0x70f53c0a, 0x75f30631, 0x3f674706, 0x3095a024, 0x729b1703, 0x7951a3b7, 0x31dab45d,
+    0x82fd5353, 0x75820ed9, 0x5bc0fef2, 0x0ffc2d5e, 0x6f6311ed, 0xa48ec804, 0x7729b03a, 0xbb922493,
+    0xcac87cf4, 0x9623a726, 0x5eea7d84, 0x3163935f, 0xd6a9d38d, 0x0c958064, 0xf36db1ae, 0xfd0a4590,
+    0xcbfbc898, 0x6e426540, 0xfc9ede87, 0x02be2163, 0x2dc25d14, 0x16e2feb0, 0xc77fefc3, 0x61ba0010,
+    0x4b3c8473, 0x8f93b713, 0xbef133aa, 0x7d3ffb32, 0x51ece154, 0x3fe5d697, 0x3de98089, 0x4a5a19bd,
+    0xff0d42b4, 0xf5dabe47, 0xebcc8f22, 0xf1c07011, 0x2d3127dc, 0xd8a16a00, 0x295eea33, 0xf335dda0,
+    0x3d109430, 0x992f80f8, 0x8657d562, 0x639efe53, 0x17e134d4, 0xe7f7e1bb, 0x6078d8b0, 0x85d9009c,
+    0xfbb621a8, 0x0e8de373, 0x2643554e, 0x55248517, 0xf56ea7c3, 0x40810780, 0xc4a05e45, 0x8ee16161,
+    0x69df80ea, 0xcb42f4bf, 0x2b678787, 0x7a33c816, 0x2caa80f5, 0x7b3df63c, 0xd6a992d2, 0x6450bfc7,
+    0xba20c0b9, 0x15dd0591, 0x662f024b, 0xe51459b4, 0x82c51ad7, 0xe48ba450, 0xd52eda54, 0x99a97fcd,
+    0xcf488294, 0x5aff7046, 0xaad8b8e1, 0x695edb02, 0xd8175948, 0x623e4760, 0xf9612547, 0x85ba897c,
+    0xa698d558, 0x8e7e2fe1, 0x3bef68cd, 0x83125804, 0xa930187b, 0x2b90bdf1, 0xc3f9fde5, 0x68465704,
+    0x061371c8, 0x89ac9cd5, 0xc334887e, 0x71e8aeb3, 0xd6ff65e6, 0xf777ff75, 0x24a6d320, 0xf4d03404,
+    0xb735ac53, 0x21040b9d, 0x3c917fd9, 0x1661213a, 0xa9803956, 0xdc7e4270, 0xabb44a3d, 0x3bd09aaa,
+    0x64a63e90, 0x5fab0ed9, 0xced42cbd, 0xb489966c, 0xa0be7bef, 0x287f9779, 0xd997d7f9, 0x10bcb51c,
+    0xcc736441, 0x30315b31, 0x4b451a82, 0x01c887e1, 0xc1face7d, 0xa2186680, 0x63026cbd, 0x69ded507,
+    0xdb451493, 0xe1fa9942, 0xf0d984df, 0x910a8d1a, 0x1b668932, 0xd859c9dc, 0xe70a3d57, 0x9a44ffaf,
+    0xdc98fbf8, 0x02945250, 0x779e042c, 0x30615cb9, 0x2f1f323b, 0x4b2165c3, 0x77457d08, 0xe5260d76,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000096196304190416209014353125244491244\
+                         64130795720328478190417063819395928166869436184427311097384012607618805661696 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb,
+    0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cf0, 0xb3a0cca1, 0xfbd3baa3, 0xe747c497, 0xd56c75a0,
+    0x00000000,
+    0xb27818dd, 0x68ab976f, 0xcde44566, 0x7857a158, 0x12960f6e, 0x836047e7, 0x3925e4b3, 0xa7b8d974,
+    0xece49785, 0x44d64140, 0x6170dd6f, 0x2737d2d5, 0x8faf5599, 0xc58c7052, 0x60543c66, 0xb8e15fc4,
+    0x2a15ef10, 0x12ac1a17, 0x77ff58c6, 0xc6cb784e, 0x342ded2c, 0x94f4875e, 0xcdcf4762, 0x6c4aca11,
+    0x9e7802fa, 0x1b5ad3af, 0x2f67f089, 0x993e564d, 0x3ef0c04a, 0x38d9a99b, 0x04f3cad7, 0xd4961f0b,
+    0x55f2a453, 0x77dac04b, 0x425ce7ae, 0x6e3bfe36, 0xdc81a1e8, 0xf4b5c2d6, 0x6568604d, 0x2eb9fa43,
+    0x5dfc829d, 0xb6bc2476, 0xcb90537a, 0xa9d74819, 0xe023ddaa, 0xb04ca2a0, 0x26b4a262, 0xd7d71d7a,
+    0xc9daac38, 0x54c75209, 0x738d5a27, 0x11e2c77b, 0x1e6ba03f, 0xa4dc6d2d, 0xc5713efb, 0x1cb118c7,
+    0x2a56cddf, 0x4513fb1d, 0x92e94d6c, 0xd4fe8840, 0x5b259c95, 0x6dca41dc, 0x98abeebd, 0xbbcb86a1,
+    0x8794ee2a, 0xfc8a5114, 0x6c352211, 0x8dd1191f, 0x1eb9a342, 0xf2bc8476, 0xad09d1c6, 0xed3902d2,
+    0x2571b518, 0x61eda234, 0x1472ae41, 0xe30a5a32, 0x09f60dc7, 0x9fcd3c4f, 0x54c1b30b, 0x0be5497e,
+    0x447f7ed2, 0xd5d78ad0, 0x2f4c0d90, 0xef491580, 0xde7c3409, 0xa72f2a9e, 0x3c8bf6f6, 0x12c6f46e,
+    0x2a1a97a2, 0x07f19996, 0xd7d0d703, 0x5dd9e684, 0x100d77f8, 0x71920d74, 0xf85469d6, 0x8eb999cb,
+    0xe8cc5f9e, 0x56b4a7e1, 0xc35cdd18, 0x8ab93bce, 0xaf5f58ee, 0x979d614f, 0x24bf9bd4, 0x2c8ee725,
+    0xcec0fae7, 0xb1c012e0, 0xbd466af4, 0x2ed66246, 0x92fd4744, 0xedc864a9, 0xdbbd42e9, 0x8562f0bf,
+    0x1f8cc8ad, 0x4ef32039, 0x4647bb65, 0xa00e9d3f, 0x107c0ffb, 0x90c01772, 0xbb21f7ac, 0xd06d3821,
+    0x9103cde8, 0x07e2fc90, 0xfd00ceed, 0x0952ebf4, 0xbff5d724, 0x8873732c, 0x03701fc3, 0xf9557ff4,
+    0x5647d9ff, 0xfdef98ca, 0xfc18fa58, 0x8596b505, 0x434a3e66, 0x2a22a275, 0xc9a7486f, 0x7397c528,
+    0x4e402e70, 0x2a6a1463, 0xe1f13179, 0xc342b368, 0xcdb59053, 0x72ad382c, 0x0025c4f8, 0x9f27151e,
+    0x1e31b24c, 0x47bc8ee6, 0xea26dc56, 0x295d5cc0, 0x84a403ed, 0x33233c17, 0x155a214c, 0xe2e9d45e,
+    0x93e40c16, 0x834cdbad, 0x5409a67d, 0x79fb32d6, 0x16040b1e, 0x0e205ad7, 0xd359994f, 0x16f39703,
+    0x216275e8, 0x1f40ae4f, 0x48ac84b1, 0xd6195ca0, 0xeccc498f, 0x0a22b716, 0x10279a56, 0xa2d01230,
+    0x451a96d0, 0xac7af18a, 0x3e709abf, 0x853da799, 0xf3505239, 0x8179f67d, 0x2ce7ea04, 0x8385ef33,
+    0x925bbb0b, 0x2b5436db, 0x8aa260ce, 0x0bf26b23, 0x32c038a7, 0xc88bafe9, 0x0d4d2d3f, 0x47585f39,
+    0x4dd7bf04, 0x297a439e, 0x36b8ad01, 0xf8c80a34, 0x0292b8ce, 0xacfd42c6, 0x5de06a32, 0xc413293e,
+    0x3f6b6d2f, 0x149bbae1, 0x002f34cf, 0xb729912d, 0x84dd70c4, 0x30b02658, 0xdc94aa56, 0x219f4d18,
+    0x221ca268, 0x27c0e5ad, 0xe88836dc, 0xdcbde130, 0xb023388f, 0x6c4b108f, 0xbb40d0c4, 0x92419ea7,
+    0x8acb2ceb, 0xf206b1ff, 0xda147e03, 0xb7dc6f74, 0xd2973a73, 0x770e4ea9, 0x0f44841e, 0x3d25d1e3,
+    0xee2f137f, 0x64f656f4, 0xfaedd371, 0xa153106a, 0x4533ec29, 0xe4a617b6, 0x9d4a2fb9, 0x41f3e621,
+    0x0d56d967, 0xb28bb922, 0xd3e77a5e, 0xf73ee510, 0x4585468c, 0x9c05a029, 0x3acfa7c8, 0x493bf537,
+    0x9740b73e, 0xc7743ad7, 0x802fdff9, 0x23266146, 0xadb8c317, 0x7149044a, 0xc4fbc895, 0x023f8f73,
+    0xf8c8d667, 0x2aff3e25, 0x7c5eca9f, 0x939b2e93, 0x27acf01a, 0x69206f01, 0x861ba3af, 0xc0887f9d,
+    0xe96d685c, 0x98425c7a, 0xb429041d, 0x4d08d104, 0xdd8ab73b, 0x85a443d8, 0x42bf5c39, 0x785821b9,
+    0x95327e28, 0xa2bc08d4, 0x4ea76fbb, 0x90803161, 0xf67b4a41, 0xb0735218, 0xbd2ff742, 0x4cb23ea8,
+    0x9556d52f, 0x53754c40, 0xf2c10ef6, 0x057a11ed, 0x7e41a526, 0xed7716b8, 0x390f7be5, 0xf6d908bf,
+    0xc8169e29, 0x3e8d7e78, 0x9566803b, 0x6e84b4d3, 0x7ba126d2, 0x022c9231, 0x0d7893ea, 0x444f85ce,
+    0x4fda22b1, 0x93af95ef, 0x8f97ec3d, 0xb95382aa, 0x1b73a8d9, 0x76564853, 0x6340bd73, 0x6e7ff28a,
+    0x7be180cd, 0xb98329cd, 0x8d18974a, 0xb714536b, 0xdf91daec, 0x5fbc23d5, 0xb3ce0536, 0x3a95ff0f,
+    0x17d1c9ab, 0x99721be5, 0x9c0d1984, 0x1c8b1cee, 0xb1d5acfb, 0x91f2c38e, 0x21276476, 0xd67a0b51,
+    0x72632572, 0xe723fc71, 0xacb40726, 0x887929e7, 0x14ecc6d6, 0x21016ca3, 0xb629afab, 0x1f1ef600,
+    0xde2568f6, 0xd6dcb58f, 0x3a0791fb, 0x7b7a4c2a, 0x4cd7e08b, 0x78e9c14c, 0x009b6f87, 0xce1205b9,
+    0xb59899d2, 0xc3335949, 0x3b30cccf, 0x45aa45db, 0x950b3a46, 0x26b9bfd1, 0x9079642c, 0x80ec533f,
+    0x43d76231, 0x9b7c0b32, 0x7564ab71, 0xa01421f7, 0xdd0cce6a, 0xae58bd05, 0x6dda499f, 0x535000b9,
+    0xaefb8297, 0xd6ff94e9, 0x18abaef2, 0xf4ac3b7c, 0x54146283, 0x0c4c5142, 0x5c01d2a7, 0xac3da408,
+    0x5fa5a746, 0xe799186d, 0x949186ae, 0x1478a5b0, 0x2f43c5e0, 0xbb4bd25f, 0x0023256e, 0xda62113e,
+    0xa31b1631, 0xbeb101ed, 0x3a2e5ebb, 0xb58a2a65, 0x50f3d29c, 0x7ddbda25, 0x0a9a109e, 0x63cbbaac,
+    0xa478bbab, 0x2eb6adad, 0x102f8e7b, 0xbfa2bea6, 0xf34b0c55, 0x1d218ad6, 0xf60000c8, 0xdd7ea70c,
+    0x64b8d8e7, 0xfb1a16b2, 0x49a3eb03, 0x574064fc, 0x7ceb0411, 0xa0a3b6a4, 0xb659c837, 0xfdf238b0,
+    0x326728d0, 0x5b4cbc17, 0x6c452686, 0x23b2cc89, 0xa5c5e596, 0x7bd6ba6d, 0x531c8e80, 0xd546dbb5,
+    0x54357ad9, 0x05d23eab, 0x8cc6a10d, 0x1b341f4c, 0x58d04eac, 0xebc8e3e5, 0xf8fa3cce, 0x87b07223,
+    0x31c1ead9, 0xd8fde8ba, 0xb2b3bd0b, 0x3a943571, 0xddbfebc3, 0xd3f093ec, 0x4762df09, 0xbaa11a54,
+    0x70919289, 0xdfd69d18, 0x1d1d0ba8, 0xde55283b, 0x88e8795d, 0xefd8b19e, 0x40f30d3e, 0x917cf6b3,
+    0x185205eb, 0x4f89bde5, 0x47a3d3cb, 0x16478c1f, 0x737d9141, 0x47d8db5e, 0x0d804e5b, 0x5f60c224,
+    0xe34c80a4, 0xa5a0a2a9, 0x5cefce85, 0xa737551c, 0xca84cf3a, 0x6ac3431b, 0x715c0b7a, 0x50e6962a,
+    0xaed7d20c, 0x50dc86ef, 0x6e310a75, 0x3649ad93, 0x934b2707, 0x3c6aa145, 0x8faaa716, 0x798a1b41,
+    0x41e02c2b, 0x5e963571, 0x6d023378, 0xbf96dcd6, 0x273128bd, 0x7b553b9e, 0x0b7e256b, 0x993a125b,
+    0x06bd1e3b, 0x249dcf24, 0x45eb53f9, 0xaa53296a, 0x66ebe9f0, 0x4678f567, 0x10f29979, 0xfe80c67b,
+    0x47900f66, 0x12e74f31, 0xdd2aab54, 0x2ac21d94, 0x4334101d, 0xfb6794e5, 0x41ac189e, 0x9eb27069,
+    0xe889480d, 0x0b821978, 0x9c73896d, 0xf4d1a2bc, 0x1c9d5c48, 0xe37493e8, 0x4feb38ed, 0x0f1364ed,
+    0x50f26c87, 0x3e7eea6f, 0x6e2bf09f, 0xdfa8e782, 0x4c112306, 0xd5c678c6, 0x4d738376, 0x2687fb4b,
+    0xb6c9c7a2, 0x452d6b9a, 0x7ff998b1, 0xcd0dc401, 0x3ac3b0ba, 0x5eedba41, 0x37f012a4, 0xec976f53,
+    0x16c2a066, 0x0bc6e61d, 0x87442c73, 0x861b4116, 0x19778b5e, 0x2c9fc2db, 0x4c0e8331, 0x820fc068,
+    0xbb9f8e00, 0x4f49811a, 0xf48cc113, 0x98b2fa8e, 0x0d2aa914, 0xb647a05f, 0xa8af6749, 0x6be0f492,
+    0x8ba5c238, 0x629e1e4f, 0xac8b5553, 0xb4665d97, 0x071f8911, 0x34d4fe40, 0xf9863982, 0x5bd70024,
+    0xaf6fdef7, 0xa7b98ad9, 0x69efdeb7, 0xd30791d0, 0x4e28d317, 0x86d80eeb, 0x9f4bdff8, 0x2d40bd6b,
+    0x540d42bb, 0x495d38ae, 0x91b13901, 0x5a231752, 0x70bc636b, 0x04d314a4, 0x7612d341, 0x1a9584d0,
+    0x18800702, 0x9dd2ab72, 0x7d7362c9, 0x648d7a36, 0xc5f6436e, 0x6fb40ba4, 0x6692c875, 0x76cc77ff,
+    0xf10c0065, 0x0f1d2912, 0xf9f4679d, 0xf4300f44, 0xb0120180, 0x5486370f, 0xb3b1cfd9, 0xd86f1030,
+    0x964dd2a5, 0x51ac020c, 0x3969e9ae, 0x3cb6942e, 0x5cc37bf9, 0x92a124f9, 0x2fe2df13, 0x6dadb951,
+    0x5a27f052, 0x55f00601, 0xd75e5e06, 0xc4544915, 0x879f5b00, 0xd69f9c3b, 0xe0b262d1, 0xbcd9ee88,
+    0xd305eb86, 0x58236296, 0x916bc1e5, 0x8bd86864, 0x58f13802, 0xf2d2d297, 0x818abf78, 0x2f275cf9,
+    0x99889cfd, 0x3dc77398, 0xc1ed097b, 0x2c7fbeff, 0x87440ebf, 0x536fd02a, 0xb1738bcc, 0x927c8ad8,
+    0x9575c43e, 0x0c5c8355, 0xbc092783, 0xdce1dc34, 0x6cd20f5f, 0x84ed46bf, 0x99b27a64, 0xf571ce27,
+    0x02e131c9, 0xc787e688, 0x1a43d88e, 0x25f9f998, 0xdd34b66c, 0x79675e3b, 0xf0af0fc7, 0x8bedee18,
+    0x61119d29, 0xaeddf62f, 0x17c91723, 0xd4a776d3, 0x4e2a0df1, 0xc7eb324d, 0xd725e739, 0xa729d21d,
+    0xdfb01597, 0xb43a5f72, 0xc87e98d1, 0xe9b0fea2, 0xb8364e27, 0xf86acb6e, 0xeeb1c097, 0x2cd0756c,
+    0xeeeac69d, 0x8ec04529, 0xeea2b786, 0x6f387728, 0x48f81997, 0xde035bf2, 0xba013d99, 0x88163073,
+    0xed290d24, 0xfc07662a, 0x44db9c0c, 0xc1513787, 0xeabbb790, 0xe39972e6, 0x69d0216c, 0x0377c93a,
+    0x396153e3, 0x87b1f54a, 0x05180011, 0x07c2de2e, 0x2808a3ba, 0xbf9ddb25, 0x9918fe0c, 0xe3e7ff22,
+    0xf54bb19d, 0xfa7d14fd, 0xcbd07880, 0x3adf94fb, 0x92e3b86f, 0x05814408, 0x4d3ff5a3, 0xd37ad5d2,
+    0xdd812549, 0xe0edf5c8, 0xb5379a4a, 0x97e5cc6a, 0xc8552912, 0x7fa1e7fd, 0xdd25a74d, 0xa7698e5b,
+    0x6a4e6d34, 0xecf90431, 0x7b51c753, 0x03d65ebc, 0xb8a53673, 0xb758bc7c, 0xfea6b012, 0x51570863,
+    0x4508d2a6, 0xb9d1fb35, 0x5c113ad1, 0x6c3200a3, 0xaf7991f0, 0xdd1a216e, 0x1ea48c45, 0x59aa64c5,
+    0x6a310b5d, 0x2076eac8, 0x5bbd2af9, 0x48f35a08, 0x40f91be1, 0x5334cd70, 0xe734cf0e, 0xfe322bc4,
+    0x57efba96, 0xb9f7b0b1, 0x16a50c83, 0xf1e2569f, 0xe82a21e4, 0x102a7942, 0x7404b8ff, 0x92e8f18c,
+    0xb4145f95, 0xe39b0706, 0x7ee8194c, 0x94880fb2, 0x8c8f765b, 0xb26d82c2, 0xaaeab502, 0x2b1f8c49,
+    0x36827bb4, 0x28ca77dd, 0x3ac34452, 0x45649017, 0x7d25b9ca, 0xf518276c, 0x50997101, 0x9d4bf071,
+    0xf4b780e8, 0x570388ec, 0x33979f62, 0x7616a8bd, 0x9f5b2ae1, 0xb8f3b872, 0x1699430e, 0x7fd4c2ba,
+    0x440baad3, 0xc177a728, 0xf409b74a, 0x313ba388, 0x5c14cce5, 0x0b0eb84a, 0xc36edb0e, 0x47d7135c,
+    0x9b0da5e6, 0x650a7f52, 0xd6ef9deb, 0x4e2e1388, 0xfd7a48f3, 0x1c500214, 0xbe1014c3, 0x6c077aec,
+    0xb75dd290, 0xf4b9fcc4, 0xd837f178, 0x39c56fde, 0xa75e7390, 0x6e00c52f, 0xf0770794, 0x3c551150,
+    0x57a50e64, 0xed09706b, 0x5bad3a0e, 0x5dd0b1a1, 0x7c7cdb56, 0x5b01e2ba, 0x29dcc2ff, 0xc6cb103d,
+    0xe1291629, 0xc4460b1c, 0x05d3f3c2, 0xaa577f62, 0xb0213761, 0x53a2eb8e, 0x7ae2e87f, 0x96ab2f86,
+    0x172bb9fe, 0xdb352b6c, 0xa455f150, 0xb8868ef8, 0xfb6ed06d, 0x26e69e3f, 0xe0022a13, 0xdfd03fd8,
+    0xb6af8c81, 0x92714cb3, 0x4cb96fa1, 0xc6a2cc2f, 0x93aa0337, 0xeb8a87f5, 0xe3fb9ac2, 0x9bd7da22,
+    0x3816b825, 0x4e31bae5, 0x31901994, 0xd49d96fc, 0x2f0f9f35, 0x5aee6d4b, 0xc98c6419, 0xde368315,
+    0x8033c070, 0x5ff6e05a, 0x418f71b0, 0xfa6a055e, 0xf9a6fb5d, 0x2961f7ca, 0x11344067, 0x6721d649,
+    0xcd565be6, 0x5b033f5c, 0xb9420715, 0xdd78a6fd, 0x556ceaa8, 0x6acec8c2, 0x710ec5bc, 0xd5129666,
+    0x397859f9, 0xc81ce44e, 0xbfaf432d, 0xbcaaacea, 0xbcc2c18b, 0xad6d0c69, 0x5aafa9e8, 0xb526b3ee,
+    0x9ed654d0, 0xd0de7ece, 0xbfe10f5e, 0x7f1e41eb, 0xd4d9fac3, 0xc90ec0d1, 0xeb344064, 0x794c9ba9,
+    0x3addb64c, 0xf405140f, 0xc29ba358, 0x2a6250ac, 0x99579740, 0xb73749f4, 0xae903f9a, 0x82b91a28,
+    0x51ebb23d, 0xf2340780, 0xe4c5ec1b, 0xcf4b71bd, 0xe1102b86, 0x7eb9fc61, 0xf92f5288, 0x7057f6d6,
+    0x395e2cb0, 0x348d9470, 0x2c551982, 0x7548e822, 0xe7486332, 0x069d2188, 0xf760d405, 0x30ce5550,
+    0xf0d477ab, 0x98ae6011, 0xf0960734, 0x08010cfb, 0xb21064ae, 0x7c90091a, 0x708ea880, 0x75263161,
+    0x0cae7462, 0x56016c8a, 0x79608903, 0xdf220659, 0xd8fa0ac7, 0xbc75b35e, 0x1a5f332d, 0x4363706d,
+    0x80a74cf3, 0xca69e2e6, 0x7a5f92e2, 0x58f6babf, 0x9911b531, 0x85bc5bf7, 0xfcc8dcf7, 0xfd456f5a,
+    0x63f96021, 0xd4de952f, 0xd22c3735, 0x867a77d3, 0xd1ccb857, 0x5ce00762, 0x2e62dc8a, 0xd4eeea9b,
+    0x8e937b94, 0x86236814, 0x6aa139d7, 0xec3fad21, 0x00f390c0, 0xf3e174df, 0x10116b2c, 0x4187dba0,
+    0xddaa8a18, 0xa6d258fe, 0x1e6c3d0d, 0x7a851b2d, 0xd533d3df, 0x2ce4754d, 0x262f5db5, 0x1347a180,
+    0x5be88cf7, 0x33cc6281, 0xacf2afe9, 0x263c31fe, 0xcfa4e2bc, 0xade57b80, 0x5d6d23c1, 0x188d4eb2,
+    0x5bd0b25f, 0x8a0ef789, 0x951a1be7, 0x40888eca, 0x5d2ed091, 0x9f9aab0d, 0x7a9bb01b, 0xc7ba0194,
+    0x41837067, 0xa6968e2b, 0x07105c82, 0x652d80e0, 0x5c9171ad, 0x80842485, 0x9658888b, 0x7ec982ca,
+    0x68705c1c, 0x4787df22, 0x3ea9f751, 0x01f4ea54, 0xcb6d41ec, 0xf8015824, 0xecb5ab10, 0xb063ea23,
+    0xea27838d, 0x86f8129e, 0x6e5b58e9, 0x9e91df31, 0xdb36f373, 0x603ec600, 0x3c138124, 0x4f120ab1,
+    0x5716a16b, 0xc8c065a9, 0x6cba544a, 0x159ed953, 0xc2c0ca8c, 0x43a8bb01, 0xf0b69cd1, 0xb5c7653d,
+    0x6cbbd237, 0x9932aba6, 0xf551ccf1, 0x956b5ac2, 0x4378ca4b, 0x350079fc, 0x9dcdd4da, 0x4af48e52,
+    0x5dc0f5bc, 0xdef9f477, 0x5e7a465a, 0xa14497fa, 0x9bb593f4, 0x97b00d04, 0xd70a7ceb, 0x44833a33,
+    0x638f406e, 0xa8cc46dd, 0x7f25e20a, 0x1dd4b9b8, 0x75a4af11, 0xecbc3535, 0x66bf2a61, 0x1e2699d2,
+    0xa23daaa9, 0x7af2a026, 0xb21d3db5, 0x6c6eb817, 0xe6213058, 0x534cb5ff, 0x0e57e480, 0x68d35f71,
+    0x37724acc, 0x4ebaebe8, 0x9788e937, 0x35b2dc54, 0x3f6ccf25, 0x0a4d1e61, 0x5832d641, 0xd2a96047,
+    0xf128c9f8, 0x4ed68ac1, 0x9b0556e7, 0x1cef3cab, 0x9de6b62f, 0xc43ae6c7, 0x96af5842, 0x16eb7645,
+    0xab3b7cc1, 0xaa365cc7, 0x6b90b283, 0xcc0d0225, 0x5f4eb236, 0x676b423c, 0x4022df2d, 0x400bc6a4,
+    0xa7cde2e6, 0x03d95adf, 0x098f44ac, 0xf3d0690d, 0xe58fd09f, 0xa4570c0b, 0xa0e8c43c, 0xa99d339e,
+    0x25fbe1a7, 0xb7942557, 0x1b0973e8, 0xc4f8dcb0, 0x4ea70c14, 0xb964c2b5, 0x26c82e59, 0x3920755e,
+    0xea2e5921, 0x80c32dbf, 0xfc841c57, 0xa8c32c51, 0xa4387c60, 0xadd69cc7, 0xf87c84fb, 0x51985558,
+    0x014a1af3, 0x9fc019c7, 0x54a9cf03, 0xe7b46cf8, 0xd9b20321, 0x1d527bb6, 0x1d5c9ed0, 0x0bbb76bb,
+    0xe3321069, 0x1cf44856, 0x7091f3f6, 0xb80fbfb1, 0xac1feaad, 0x4c8c7be4, 0xe9e86460, 0x73a4f688,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000048098152095208104507176562622245622\
+                         32065397860164239095208531909697964083434718092213655548692006303809402830848 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd,
+    0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e78, 0x59d06650, 0xfde9dd51, 0xf3a3e24b, 0xeab63acf,
+    0x00000000,
+    0xd5bf6c01, 0xd7595b92, 0xda86d224, 0x09c938a0, 0x97abbf0f, 0x96858c93, 0xb51c873d, 0x12c9c950,
+    0xb098c653, 0x2c9c73aa, 0x5143eeae, 0x729fe4ed, 0x326e8925, 0x7c39e4ec, 0x72b1501c, 0xe59ed139,
+    0x4b7d095f, 0x87cdef5f, 0x830a2286, 0x4b874bb4, 0xae1e36ba, 0xfa432f64, 0xf5629720, 0x16345044,
+    0x3cc48a7c, 0x154ece76, 0x01b6bf3a, 0xc77d0613, 0x7c1d5b5a, 0x794997a1, 0xf3f9c781, 0x69750962,
+    0x2a8bdb9f, 0x737b30c9, 0xd20b8195, 0x575ad4b2, 0xa21acb60, 0x534c116d, 0x19ed6671, 0x00e6ea75,
+    0xeabe50fc, 0x6949e736, 0xb27e3af9, 0xf1664df6, 0x1e15a569, 0x49328e01, 0x674f2db5, 0x2bb299d4,
+    0xe4ac8fd3, 0x88a7522b, 0xca5e9d3a, 0x87e05d42, 0x9e363181, 0x2607a5b6, 0xb8750562, 0xa4dc5fd2,
+    0x6e779f3e, 0x71633298, 0x303cb4a5, 0xbcd43991, 0x78774536, 0xe7b22409, 0x75249ae0, 0x2612d392,
+    0xc1839e8b, 0xb37e08cb, 0x8ae7c1e0, 0xeabbcc99, 0x347fdab9, 0x29f57c38, 0x3d52116c, 0x27fa12ae,
+    0xd4dc1fbc, 0xc27578f2, 0x6b8ed1ea, 0x0f904ed0, 0x711edd07, 0x1aa8c339, 0x3fb8a2f7, 0xe7da1906,
+    0xf691d280, 0x86ab1e46, 0xe6e9417e, 0x26e0875d, 0xd00ee94d, 0x32856bc4, 0xafa1eba6, 0x42d47a4d,
+    0x235df746, 0x61212307, 0x8b0f7f48, 0x1305540c, 0xd6eedc2b, 0x6461afdc, 0x16a239b4, 0xc1b810ad,
+    0xa5e8e2a4, 0x40c966b5, 0xdf27cc19, 0xa34b3323, 0xeb917add, 0xc23cade4, 0x74b68454, 0xa89bdfca,
+    0x2dcf74fa, 0x6491a3c2, 0x24d42ca5, 0x3b4206b0, 0x210e546c, 0x5803029e, 0x0ece530a, 0xbab47f7b,
+    0x6e155ecf, 0x6ffe7819, 0xea33e8ce, 0xb3954369, 0x2220dafa, 0x6cc6acb3, 0x9051065e, 0xb65dfdfe,
+    0xd025ff4a, 0xe5e1646e, 0x29e4fa22, 0x8509dbed, 0x09ed18b9, 0xe09ef1c7, 0x3b36cd85, 0x8dd158c4,
+    0xc550f2a8, 0xd198e863, 0x2c789a38, 0x6efb5fdf, 0x12233272, 0x823d3367, 0xf296899e, 0x51f639c8,
+    0xa08accc3, 0x47230072, 0x64cdb2e5, 0xeaba8099, 0xca77700e, 0x5efcf3ae, 0x636aaf3c, 0x66ffd71f,
+    0xf90c2cf6, 0x61e03fed, 0x486c6218, 0x0ad10bc3, 0x8bdedbdd, 0x18f162f6, 0xa1bf96b8, 0x1fb09c85,
+    0xa828f0c5, 0xafdf3898, 0x51063f45, 0x078a9abb, 0xd6ae5d91, 0xd272c8bc, 0x1fd34f3d, 0xc5e2aa3b,
+    0x0e433314, 0x7d2077db, 0x82283a03, 0x8a7fd862, 0x2e2b2b94, 0x16faae75, 0xb3eb109c, 0x144d22c6,
+    0x0afa5e11, 0xd5c81562, 0x178b80b1, 0x784ff573, 0x26266af8, 0xec343c8a, 0x294658b3, 0x7556fece,
+    0x571239a4, 0x1a8aed17, 0xdd56e9bc, 0xf3415d01, 0x75a8a7a3, 0x228d67f3, 0xa2bc0f85, 0x7b9513af,
+    0xc4b1d898, 0xe6140272, 0x9d6155fb, 0x50fa192f, 0xc2c84341, 0xfab95a89, 0xef291915, 0x8b7d80c3,
+    0x9b42f033, 0x0759d1d7, 0xd9459605, 0xdb433e11, 0x62a3971c, 0xbbe2c6e1, 0x269a2087, 0xb7376665,
+    0xa8d06306, 0xa9cfbcab, 0x5c7e76c2, 0x715b0f3c, 0x701c1c6a, 0xe549f337, 0x7053d6ac, 0x6e82138a,
+    0xaad6abe1, 0x5047df12, 0xf4800c58, 0x49afd50b, 0xc71fe590, 0x06576869, 0xdf9f8db0, 0x27f3d412,
+    0xf428d7ce, 0x91654736, 0x2a1cb610, 0xa19a0565, 0x5570409c, 0xa75baa5a, 0x0f98bb72, 0x63e1c3ee,
+    0x2fc89094, 0x63571bcd, 0x4e085438, 0xcdb6a39c, 0xfa4afafe, 0x811a4a03, 0xdf22c417, 0x419f4fee,
+    0xbb398821, 0xc71ec13e, 0x71de29ea, 0xe9167a17, 0x5a26d140, 0xca40d51d, 0xf6829540, 0x7b32fd7e,
+    0x5ecd0c6a, 0xa02c8874, 0x266d1f0d, 0x327091d6, 0x788e69c0, 0xdc759587, 0xfee3b0c9, 0xdde145a2,
+    0xdfa4d988, 0xf3dd6ab5, 0xdf067e90, 0x2ef75fc6, 0x96c12b7a, 0x5cf6faa3, 0x1e4bde74, 0x85aed0f3,
+    0x2fe1dd02, 0xe3a58870, 0xa07a7d44, 0x25ba2453, 0x59926319, 0xfbfe44f2, 0x186b120c, 0x8bdc0bf7,
+    0xd5191f17, 0x8e9e9271, 0x42202f17, 0x1d8d6a23, 0xc3bb7457, 0x17b83d5a, 0xbb989b3e, 0x4ef72588,
+    0x99355263, 0xaea769b7, 0xe885dda0, 0x0c9969ff, 0x060ba94a, 0x92fb884c, 0x1db4f2e0, 0x0af13f14,
+    0xffc0fbfb, 0x586784c5, 0x84e97cfd, 0x46d3f4ec, 0x647178fa, 0x164b2055, 0x83f46eb7, 0xeac2dd72,
+    0x4965e4f1, 0x3ef0f60d, 0xc6abf438, 0x9cc9ef4d, 0x6f4541a0, 0xaa466275, 0x9ae980b7, 0xc987a48c,
+    0xb29c7e20, 0xe72132df, 0x89e7ff43, 0x87c0ccd8, 0xfbd44995, 0x72fb358a, 0xbab49c97, 0xc70d33a9,
+    0x569eef96, 0x32b8fa8f, 0xcf46ed61, 0x3d19b835, 0xde3a60e2, 0xb809f427, 0x941c32ce, 0xc1eba70f,
+    0x57319bda, 0xdeb2efb3, 0x2ede7f07, 0x16c5103f, 0xb68090e7, 0xa6c78892, 0x5edc4984, 0xbb6070b7,
+    0x81576819, 0xb692a498, 0xeb3ef9e8, 0xe961c7ef, 0xf0badf88, 0xe548ab3b, 0xec4b5ac3, 0x5511a3fb,
+    0x1f4e98a9, 0x5bd0728f, 0x5ced3468, 0x052934ca, 0x7ae78b6e, 0x401a5fae, 0xf643f15b, 0xd990aba5,
+    0x54056984, 0x5d0837ec, 0x48d311a1, 0x54c14b30, 0x8779102e, 0x3837965d, 0xcec7d4ba, 0xaa4cfb63,
+    0xe6c846d8, 0x97027e0d, 0xd9f7a9fa, 0x2e6d42ff, 0x7c62a947, 0xfba7e1db, 0xe8ccc5bf, 0xeaed3dbf,
+    0xf7f71dc0, 0x33dbc8f8, 0x75667874, 0x215b381e, 0x3c6e0216, 0x66a20a7f, 0xfe91ea7b, 0xb24d68b2,
+    0xe701af00, 0x38051917, 0x326abcb2, 0xe36cb95c, 0x62a9b1c9, 0x9ee791ea, 0xabf4baab, 0x4199f42a,
+    0xcdc37cb2, 0xba41c0b7, 0xfc63eca2, 0xae90c310, 0xa2bd03dc, 0x04f252be, 0xe7d1b4ca, 0x1792becd,
+    0x078dcbc4, 0x720edb15, 0x35d1bd33, 0x35459aea, 0xa1f9e817, 0xff3d7d11, 0x575cb72b, 0xb05a3a7c,
+    0xe4560f1c, 0x1397d4e9, 0x6e1f1134, 0xbf531ccb, 0xda64d27c, 0xecfde78f, 0x154d452b, 0xa327b3c5,
+    0xc1666139, 0xf76f64d3, 0x18649520, 0x60c5352e, 0x6f3c9128, 0x52de0234, 0x2d564afb, 0x458594de,
+    0x2952f443, 0x15a6ce31, 0xe631e12f, 0x01cfc947, 0xc2f1aa87, 0xbdce6925, 0xfdf603c8, 0x2889524e,
+    0xd12f9670, 0xd9e26829, 0x49605485, 0x5670ee5d, 0x80aedcb0, 0xf4377788, 0x2e135719, 0x76e7d1d1,
+    0xbe25c69d, 0x2ff01265, 0xd2c6b40d, 0x95356b35, 0x32f3c619, 0xf3564ac3, 0x54964020, 0xe8cee236,
+    0x60ff7977, 0xb2de2b6d, 0x00644d22, 0xd2e3f141, 0xa259fafb, 0x0501d0ba, 0x68a5628c, 0x3a50c080,
+    0xbbe89545, 0xed9ee914, 0x6c9614c6, 0x8084b215, 0x2deb3956, 0x69684b1c, 0x415dccc8, 0x9b4de1d8,
+    0xd16466f9, 0x8221e017, 0x80a1dafb, 0xb8819939, 0xc7ca95fc, 0xe72c49c5, 0x2407e751, 0xca1b2925,
+    0xa58046e5, 0xfc8d42c5, 0xf8f87b2a, 0x05495e95, 0xea52d0fc, 0x62a2542d, 0x78cf1c19, 0xd4354b3f,
+    0x55bc76bd, 0x2ff473da, 0x898875d9, 0x54c61b12, 0xb2bd9597, 0xe53ef4de, 0x7c8566db, 0x599988a6,
+    0x9f1db413, 0xd590d106, 0xc61afa85, 0xbceda689, 0xc09855a0, 0x92d6b818, 0x647dd25c, 0x35e525a1,
+    0x5f0c48d6, 0x8fe685e0, 0x5b89b37e, 0x1c92b6ec, 0x98f33cac, 0x579a973e, 0x1c56b2f5, 0xf54d907e,
+    0xbf310ce8, 0x3b5ef47f, 0x2808f0c6, 0xa7bc36ae, 0x01689b19, 0x6d3347bf, 0x7b355bb2, 0xf8820924,
+    0xcee4ceb1, 0xfec8e541, 0x17847702, 0xd40fc7b0, 0xb76fae3c, 0x33d6048a, 0x9009d67f, 0xfbf3ae6b,
+    0x4bf0607a, 0xf6a3e2aa, 0x5d1052b3, 0xf236ad6a, 0x209815f3, 0xd69135c1, 0xaf7fc6f5, 0x1db09cb6,
+    0x54672ad9, 0x96a26453, 0xf7b24819, 0xaf8014ba, 0xfca2a709, 0x9a25d4f3, 0x26cb7ae1, 0x553a8c8a,
+    0x4bdb579b, 0xda972d98, 0xa94e4523, 0x8f572214, 0x1adcc6ad, 0xc3c6468d, 0x4a76bc0b, 0xe967fac0,
+    0x89be3420, 0xd4c06a34, 0x3b3cb2fa, 0xcaaa78ec, 0x8a398053, 0xf4fe239a, 0x05c72223, 0xfd7938fb,
+    0x58e56e34, 0xc32c5291, 0x4d58f0d7, 0x5d84d171, 0x407f6986, 0x19526999, 0x3f7e6ad3, 0x89a61c64,
+    0x2cf35a3a, 0x69e0604b, 0xf91a5243, 0x6cc0ce85, 0x75141b36, 0x741e0680, 0x277c39a7, 0x885f2347,
+    0x6bf0ed27, 0x73599a5b, 0x7b9b6f07, 0x853634bc, 0x91973a67, 0x0d2748b3, 0xfb6d9d2b, 0x558c9922,
+    0xebf9d53f, 0x026db346, 0x9f41da1b, 0x2ee5cf42, 0x5ee87116, 0xacef20d8, 0xb0ca8925, 0xb3186175,
+    0xe96f9d09, 0xbc19def5, 0x91fe617d, 0xfbfe9a72, 0xd720d86a, 0x7648808a, 0x8d7baa61, 0x85855e6f,
+    0xb78d9f1b, 0xa50721ae, 0x304917a5, 0xb0b62a57, 0x98a6d8d0, 0x28ee19d2, 0x1478c8e1, 0x8ef5d640,
+    0x4a3293af, 0xa6024577, 0xf47dffc4, 0xd1478c09, 0x97f221c9, 0x8a3a6011, 0xcf5f13ae, 0xf3c93e2b,
+    0x391f3540, 0x00c83733, 0xd0aa756d, 0xb2651a0f, 0x892a6542, 0xb561d36e, 0x0da1f3e5, 0x42eedbba,
+    0x98dd288a, 0x901a3965, 0xd7e0b3a7, 0x5c35237c, 0x81ec8980, 0x04a387c2, 0x803edd67, 0x551253bd,
+    0x609a163b, 0x53e9119b, 0x98e4f84b, 0x57dac510, 0xfff66738, 0x8a6b91a0, 0x54fbbda5, 0xb3b63722,
+    0x6fa72c6f, 0x7ff5007a, 0xfdedb7b6, 0xa46af0f3, 0x847a56dd, 0xda8f3b44, 0xd12fc60e, 0xf0f2c806,
+    0x071cdc30, 0x4ea4fef1, 0x51a0c4df, 0x077d5525, 0x06e68b22, 0x225aac68, 0xf0c66f15, 0xc8a2eda6,
+    0x8945ff7e, 0xa464bb0c, 0x06624379, 0xdf30a4cb, 0x434d03c2, 0x2139c8b7, 0xffa0b355, 0x1c24ce4b,
+    0x2ec37d24, 0x35b8b8a5, 0xa2207f7d, 0x81f3febf, 0xb8392da6, 0x97751cc1, 0x357a6614, 0xc206a671,
+    0x7b1ec3bb, 0x0dbd268c, 0xf91e8e4d, 0x4f703059, 0x7e409ab2, 0xc4c1cc59, 0x26424c99, 0x683c5d8a,
+    0xf943075a, 0x5bbd4f87, 0x7dc07bfb, 0x1814b729, 0x2d01377f, 0xf7622202, 0x44c7a9e4, 0xe6d8ebfe,
+    0xc616fe58, 0xafa02e06, 0x6f401d7a, 0x8a1c8962, 0xd5054cb9, 0x98344a9c, 0xe8d885a1, 0xb0aa7189,
+    0x94d4532f, 0x70b19aab, 0xef99ed4a, 0xccf4c9f9, 0x295fea20, 0x242cdb95, 0xff76e60b, 0x28f82e8c,
+    0x5aa986e6, 0xc72f0b13, 0x07487d73, 0x0b75118f, 0xb97ab6c0, 0xc47b3545, 0xfce42675, 0xf1f50f70,
+    0x02c44770, 0x1f5e7e40, 0x3d4f6171, 0xe3460429, 0x3007f532, 0x102ffa95, 0x1af164ec, 0xeeac946e,
+    0xe79a7e71, 0x9150e2cf, 0x77aa62fb, 0x56e067cd, 0x16eecd96, 0xfb018162, 0x1c74d53c, 0x226fc354,
+    0xc26fa62a, 0x48371471, 0x0076d1eb, 0xcef8cd48, 0x6ce954e7, 0xc9d55af2, 0xba196a12, 0x26d14441,
+    0x9616c943, 0xadea126a, 0x34a2e469, 0x051faf95, 0x4a2c7f2e, 0xebad8be0, 0x37e55de5, 0x8bb4ea26,
+    0x88a297a7, 0x7aebbdaf, 0x27cf2e88, 0xd91493cb, 0xf53d9040, 0x0354c92f, 0x12f5e2ac, 0x7ed50f89,
+    0xcf0b3655, 0x29c20eba, 0x611e0c7b, 0x159f7798, 0x48862065, 0x050f4910, 0xc19b699c, 0xd8d7270f,
+    0xfb1a84a4, 0x476831fa, 0xd9b85c02, 0x2912d1fe, 0xf330340e, 0xc2e52b7e, 0x63f00eaa, 0x382b511d,
+    0xbfc755ec, 0xe346df32, 0xddab576c, 0x3b6155ec, 0xf4041180, 0xc3aec7cc, 0xe0997d8e, 0x7d7483ea,
+    0x4a83c34c, 0x576c1234, 0x3fc41389, 0x41ff97d7, 0x612a83ac, 0xfd5d9463, 0x72ff6c70, 0x8262cb84,
+    0x9690d80e, 0x5bf47d7b, 0xd65cfacd, 0xe9691d94, 0x81995a18, 0x1d8808e7, 0xa5ec00ff, 0x24dc0153,
+    0xe8b09ac1, 0xac86a278, 0x0afe7809, 0x79188f97, 0x0c365be2, 0x0214e196, 0xdc880e81, 0x6851b23b,
+    0x9bb68af0, 0x8fd9c6a3, 0x348b5777, 0x75e23fce, 0xc0b1b6f9, 0x357c7899, 0x27fc54b0, 0x143cf513,
+    0xf4657363, 0xb0773b9b, 0xa722378c, 0xfc64cef2, 0x63f7b6a1, 0x662cbca2, 0x02a5a0aa, 0x046afc07,
+    0x0aac3974, 0xd2fc186e, 0x1b935a12, 0x7ad74826, 0xca6c4166, 0x4d5c9a03, 0x4c13e4c7, 0x96964d30,
+    0xe485123f, 0x2f14a3c2, 0x7b41bf52, 0x87c2461e, 0x8d6696b4, 0xdad8e8f1, 0xbbcdac20, 0xd69ce7f4,
+    0xfb845ac6, 0xe41cda33, 0x418a15f2, 0xf2781ee9, 0xed5a6f62, 0x57c24eaa, 0x7034317e, 0x70375c13,
+    0xb707f63b, 0x326be7be, 0x0dc29ba1, 0x92bd3fdf, 0xbd22fc20, 0x337548fd, 0x665b0e5d, 0xea48bf4e,
+    0x7049262e, 0xf3a2e0b8, 0x5bcd39ec, 0x95b77578, 0xe2f10bcb, 0x9e967312, 0xc26d4d6d, 0xf7b14a73,
+    0xb4170f23, 0xd4ac19d3, 0x7d25446f, 0xf782015b, 0xd653061c, 0x4ca52601, 0x56248875, 0xb581638a,
+    0x533b7042, 0x2b294d1c, 0x21abc20d, 0x366a4886, 0xc5c27dcb, 0xbb8f09b6, 0x6985e6b5, 0xfd078076,
+    0xc79eeb64, 0x6a48315b, 0xf1f616b6, 0x18d72517, 0xa26f69bd, 0x9af8a61a, 0xe9d3e815, 0xa8cab671,
+    0x7982c0ef, 0x93f03968, 0xeef32867, 0xd14e2c25, 0x888bf06a, 0x73b29a27, 0x0801fa5c, 0xd83fcf5d,
+    0xcdce3abd, 0x7e786aed, 0x5e5d6b3c, 0x53e08cba, 0x623ce12d, 0x90100ae3, 0x5ca5c159, 0x9a083f26,
+    0xd132d0d7, 0x47e9fb90, 0x3824c4e6, 0xa233bd48, 0x79162010, 0x6f74f5ea, 0xde3ded61, 0xa7d83e97,
+    0x567bc3a8, 0x13f3dab9, 0x8a00c5a0, 0x3afc2c05, 0xbea0b1b4, 0xdfcaeb15, 0x47660790, 0x5b323696,
+    0x573ca80b, 0x05ccd6b8, 0x4043a8a7, 0x95c5cdef, 0xc5ccd69a, 0xabe679bd, 0xf16f00ed, 0xe4e96380,
+    0x54c3ce89, 0x42e8a140, 0x0175b8e3, 0x83058198, 0x164e0a0d, 0x122e6685, 0xd79b531c, 0x99d0d22d,
+    0x9da98307, 0x5d6421c9, 0xa12f7f1f, 0x81f06863, 0xde2bdffc, 0x3e944bec, 0x28d1d7cd, 0x417aea28,
+    0x057e0ff5, 0xbbe9c8d5, 0x9d0bccf6, 0x6be6acd8, 0xbe878252, 0xa1ca0b31, 0xb908832f, 0x3ba87e62,
+    0x47f4eb8f, 0x6080ba50, 0xbc507d25, 0xed82350f, 0x4a1bcdab, 0xc4f43910, 0x457867c1, 0xc11f5fd5,
+    0xb299a8bf, 0xf46377c9, 0x605daf71, 0x6bd453d9, 0xa7418f02, 0x20adc8ad, 0x9056e0d6, 0x69b977e7,
+    0x4c95f142, 0x1ef42b16, 0xeed6c2fc, 0xf1d1c853, 0xd6fdaad2, 0xfe0bd765, 0xf50bc917, 0x654f736b,
+    0x26ce3feb, 0x2250a4dd, 0xccef6a56, 0x2e468bf9, 0x68f0b903, 0xb33aeeba, 0xc432e41d, 0x132baaad,
+    0x3ccdf65f, 0xde2be32f, 0x4facff61, 0xd66a66e4, 0x54fc604b, 0x0f12f3e3, 0x1631db6c, 0x52803539,
+    0xb1260e28, 0x49a1d5d8, 0xd369ada9, 0x353dafaf, 0x134eea56, 0x10e0119b, 0xf671228d, 0x578b72cb,
+    0xe53f0fa3, 0x52793cb9, 0x7913763d, 0x82ae0bd6, 0xd6f46e4a, 0x33715c88, 0x57d070d3, 0x04193650,
+    0xa2b26d66, 0x133472a6, 0x905bf114, 0x3c7bec2d, 0x31524e70, 0xe4c89ddc, 0x0e844713, 0x8ae9659c,
+    0x46c551f5, 0xbfc28851, 0x53d0d3de, 0x559a58ee, 0x1e329aaf, 0x00263937, 0x02a8b86b, 0xbcedcc8b,
+    0xc49b6125, 0xb4f29297, 0x93ff12c3, 0xf5483a72, 0x20afbcf7, 0x072a9ce5, 0xb13f149f, 0xc43ec3d3,
+    0x9445f342, 0xd6fa4ad8, 0xb5f90955, 0xa5a20891, 0x00f693f0, 0xb4d764cc, 0x67eaa312, 0x143a2f45,
+    0xc83888fb, 0xa8fe241c, 0x55cbf989, 0x67131f1a, 0x0c2dae73, 0x67562e50, 0xb8159bd7, 0xf75b43bb,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000024049076047604052253588281311122811\
+                         16032698930082119547604265954848982041717359046106827774346003151904701415424 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e,
+    0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173c, 0x2ce83328, 0x7ef4eea8, 0xf9d1f125, 0xf55b1d67,
+    0x00000000,
+    0xa5685fc4, 0x3e5f3c42, 0xe1e0bd20, 0x326cc7b6, 0xb5dd3470, 0x416760e3, 0xbbea9eee, 0x82b0e722,
+    0xc3ea58e6, 0x8c96631a, 0x4f8b6adb, 0x0d90a3d4, 0xf3a2efd5, 0x98630863, 0x8c24af2e, 0x9a6cffc4,
+    0xea56f020, 0xa96f17fb, 0xbe6bd732, 0xfac4628a, 0x389aa53a, 0x19857bd8, 0x5cee02bf, 0x3f0373c5,
+    0xa59dd5f6, 0x16639c9f, 0x4035fe9e, 0x67195754, 0xd44bd411, 0xcc02a24e, 0x270a84a7, 0xd571f936,
+    0xee298fdf, 0xa2808f6b, 0xaa335b9f, 0xa0d2ccf4, 0x8c71802c, 0x52a66af9, 0xc0823671, 0x2123dab8,
+    0x06154f91, 0xa7c8203e, 0x92d2f9aa, 0xc98d107a, 0xa0df41a7, 0xd2e489a2, 0x8375f00f, 0x336871fc,
+    0x29028672, 0x3b1366cc, 0x7ffeecf2, 0x3a96589d, 0x974667a3, 0xd4402168, 0x9187ee74, 0xf949161f,
+    0xd50b248d, 0xc2dbf579, 0x75b93ee0, 0x8ec9832a, 0x173029d8, 0xbe2a30b7, 0x926788b5, 0x1343d0e7,
+    0x188973e1, 0xde35d884, 0x6e193d9b, 0xfac93373, 0xac494fd7, 0xaa9c8b39, 0xcd7ca2cf, 0xf99898e9,
+    0x4d9d332e, 0xef7fb29b, 0xf2d1d279, 0x39a27d08, 0xc70ce0c8, 0xa0baa5d6, 0xfa034644, 0x19bc588e,
+    0xb02db4ea, 0x3c05f8f7, 0xd9b11abe, 0x9bb18e6f, 0x8f27b046, 0x74cd916a, 0x7ee4aafa, 0x9ff10865,
+    0x9eeebe6a, 0x946d0bab, 0xe797d415, 0x563bdd7e, 0x5d3240d5, 0x7796ccc3, 0x9c27adf8, 0xfae9e5a1,
+    0x1e4017a8, 0x9b86649c, 0x2f1b0bcd, 0x9438ac23, 0xb94cfc99, 0x5acc417d, 0xbad8279a, 0x359048b7,
+    0xe0963bfd, 0x342a75b5, 0xe60b3919, 0x4065e676, 0x0f818331, 0x1997412e, 0x9926a045, 0xefda0e8e,
+    0x8ae6de4a, 0x3d9e6896, 0xdcccf7c3, 0x3636eac3, 0xc7543586, 0x40022311, 0x65c60b40, 0x8aff8d4f,
+    0x2e4bf05b, 0xb8aa9556, 0xeef06cd7, 0x49d1f2ea, 0x3d47987d, 0x27536131, 0x5fae2648, 0x73307ce1,
+    0x596f5725, 0x19206a4b, 0x6a6e7b3f, 0x7ab4ec72, 0x42bcf737, 0x6714148b, 0xad167db9, 0x3bd256c4,
+    0x4590c8fc, 0xbe83ba5b, 0x3c3f0609, 0x1fa63b0d, 0x4c1d3518, 0x9b4b3df2, 0x533b995e, 0xb1c60921,
+    0x00b7793e, 0xfd428a8c, 0x4ad35825, 0x1f15dee9, 0xf71670be, 0xfbf3c08c, 0x924fd815, 0xee01c98c,
+    0x22ee40fa, 0x658389b2, 0x5e3e5ebc, 0xb0e77425, 0x63c4c065, 0xb6c23f97, 0x480aed1a, 0xd723542d,
+    0xc71ce58f, 0x85338803, 0xf156ce85, 0x26e312ef, 0x02df702b, 0xd6418d59, 0x44a60c72, 0x79564b68,
+    0xfa404843, 0x2bd49a0d, 0x736db0d2, 0x53190114, 0xd22fd740, 0xebd5fc6e, 0xd4aa46e6, 0x51f7787a,
+    0x86c74383, 0x5c29551e, 0xdf208d9b, 0xd610f033, 0x7901142a, 0x19c29e9e, 0xb24d63c2, 0xbbab7f5a,
+    0xcd519dc0, 0x7ea6947b, 0xa84ae2b5, 0xc1a6ddd3, 0x7786f840, 0x8b45bc39, 0x38c43e8e, 0x5349e6b0,
+    0xeac5bfe8, 0x0eaec4d3, 0xe4bff7ac, 0xa6a4f0cc, 0x4829ad1c, 0x62caa3ea, 0x58f92a99, 0xac98b952,
+    0x049ec183, 0x50d6729b, 0x0915fea5, 0x0a734a7e, 0x778e1d87, 0xda1cfc28, 0x70f359c2, 0x5655b0b7,
+    0x40df54e6, 0x55f5242b, 0x0a85db4b, 0x37d01358, 0x9905cc89, 0x986f93e4, 0x4d2d5c7e, 0x24083f2a,
+    0x50250c92, 0x0fd41b27, 0x64ed04c0, 0x287de08e, 0x85797c74, 0xf42494eb, 0xfd476b12, 0x0a282f6e,
+    0x17987052, 0x60916dca, 0x32f3ea75, 0x440f6a1f, 0xa6ca7df8, 0x3883e8ee, 0x65839ff0, 0x7bcbb472,
+    0x22f4e60e, 0xa10c1ebb, 0x5b489248, 0x2a978259, 0x7821e229, 0xe2e25c5d, 0x6176ff30, 0x6a4b13c8,
+    0x33f407d0, 0xe148c369, 0xdd6095f4, 0x5a07ce75, 0xb8a0ca11, 0xb978c9e8, 0x15603007, 0x0ca0b939,
+    0x2bfdc12e, 0x715baea1, 0xdcf89497, 0x69441e26, 0xd1b751df, 0x73d78bce, 0x38898cdc, 0x82daa98e,
+    0x4c243e71, 0x7b370d99, 0xb82a301b, 0xca0f482e, 0xbec0f120, 0xb6fec6b1, 0xfeea325f, 0x328e8c4d,
+    0x46396823, 0x4979da57, 0x06fe5686, 0xccff6a17, 0x2fa41264, 0x9ab9f7e4, 0x2bba9421, 0xc669baf6,
+    0xbc2b3c26, 0xcc5cd34b, 0x675bfe2f, 0x6f59d17c, 0x817262bb, 0x0f7824fe, 0xa56d7afe, 0x047f8b75,
+    0x747f1b2d, 0xa739dca9, 0xd362d6f5, 0x15c8d43e, 0x68877b94, 0x851ef5cc, 0x8e2f9bb2, 0x4815b53c,
+    0x526468ab, 0xe356dd73, 0xbbd71e0d, 0x851f673d, 0xac2db819, 0x2697424c, 0xaaa48de9, 0xb346414d,
+    0x62dcea80, 0x9a7ee764, 0xa88444a4, 0x524859a9, 0x64adbd92, 0xbbf3c913, 0x2f6a494d, 0xa31122f6,
+    0x9998a777, 0x6e38e2db, 0xfd6c694a, 0xfd6762a3, 0xa7c8bd8e, 0x8455f153, 0xd2d95897, 0xf443074f,
+    0x39314697, 0x6712f640, 0x20d276e5, 0xcd01ca15, 0x7cd66db9, 0x89054f62, 0x3c43f299, 0x396092ae,
+    0x9aae0ff6, 0x857116e6, 0x4492e32b, 0x04437dab, 0xa56cee27, 0x7667a3c2, 0x4181b41d, 0xcd6d6902,
+    0x8f07bdd8, 0x3dffdd0b, 0x7e73dd9a, 0x545adeba, 0x6d8d5760, 0x902de752, 0xdb869161, 0x23b54738,
+    0xdcc41d65, 0x3c1e85a1, 0x84658735, 0x54753e65, 0x253d2cf1, 0xcd9fa7ed, 0x0203b1b1, 0xd0e0bf61,
+    0x2d6937f8, 0xf1fb564c, 0xe195260e, 0x36ed6e29, 0xabd33b53, 0x0aad6694, 0x22a4767c, 0x837c56c4,
+    0x26b7856e, 0x57fcc859, 0xf204507c, 0xaf7558de, 0xe15069b1, 0x0f685073, 0x41daed16, 0x165a185c,
+    0xad74d345, 0xf406d59d, 0xc170b1d7, 0x091d6235, 0xc384b3a0, 0xc5273bcb, 0xf99d9c94, 0x69454adb,
+    0x7b1ad0e1, 0xee216415, 0x9826fa39, 0x96708052, 0xd507bf7c, 0xdccdfbeb, 0x6271ad9b, 0xb8bcb952,
+    0x7aa65c79, 0x2dd64b31, 0x715f3e62, 0x2bd44b3e, 0xc3c59095, 0xc9d55589, 0xe5ddeeb8, 0xef47cd4b,
+    0xd3b73e5a, 0xdb5d3432, 0x9b158fd0, 0x2f78daf1, 0x77be6d92, 0x69b65577, 0x25519507, 0xc8e8cc1e,
+    0x510b8cac, 0x33600f1a, 0x1f262bde, 0x2f3b02b6, 0xcf1de84b, 0x8a7949bd, 0xb448116f, 0x7299acb5,
+    0x0dbcbfde, 0x8d5138f6, 0xe745f4df, 0xf2230fc7, 0x7ce530f1, 0xcc60c7f1, 0x3acfa42c, 0x576006e1,
+    0x9062bd60, 0xc6d60925, 0x400dbec9, 0x725ad01e, 0xb9a448ec, 0x244da456, 0xf397f966, 0xf8ccee99,
+    0x3872c687, 0x62247fe1, 0x6db92754, 0xf072d6f2, 0x9db03a4f, 0x157e5153, 0x013d409d, 0x0d94d9c4,
+    0xeac5b54b, 0xdf13382a, 0x9bdcf0ec, 0x59a4c718, 0x91d09b0e, 0x3d1e5868, 0xc5aa1278, 0x87f8950d,
+    0xe0c726b9, 0xd606a20c, 0xf68af0e2, 0x890f11a5, 0xf94ec379, 0x43f18db6, 0x23af0b2f, 0x0872c58a,
+    0x3571f9b7, 0xee5d7ac8, 0xadd778a1, 0xa44c8c81, 0xf43e0ed0, 0xc87520ac, 0xcd3d86a6, 0x849e798c,
+    0x08a6d907, 0x731a1d0b, 0x0c23dfe9, 0x3915bb9b, 0x69732796, 0x23e18b7b, 0x5a6d7c17, 0xc70f93a2,
+    0xd7f92c93, 0x4f6faeea, 0x67b92e7b, 0xaa3d7e36, 0x21c28520, 0x94960da9, 0xc654d2cb, 0x104771ba,
+    0x4633952a, 0x0bcfaff0, 0x4f14cf0c, 0x454d9c24, 0x82e465cb, 0x927fefcc, 0xdeabd39d, 0xba6a6d41,
+    0x987f0cb0, 0x9ed7736d, 0x7b8fbd0a, 0x9764fe39, 0x6a2f49a8, 0x0d51b6af, 0xaa872478, 0x87b3713e,
+    0x5e10f4eb, 0xca794d31, 0xccbe9d14, 0x669d6fde, 0x79b4276a, 0xb8bf962e, 0x77fc791b, 0x494b3f83,
+    0xbac21776, 0x7a1941f9, 0x16dce0d2, 0xcf1a9e34, 0x1d9f815f, 0x54dc1ce5, 0x8426fd0b, 0xc2f2c73b,
+    0x182a42db, 0x5a94adb6, 0x940efbe6, 0xe51efc57, 0xf8b680e4, 0x7fcf2f70, 0xcadd70b6, 0x90ade827,
+    0xd5eba928, 0x90a61fd6, 0x8482f78a, 0x27fbd762, 0xbfa3588d, 0x7b3c8d5b, 0x75c6f976, 0xd1e6beef,
+    0x9d7fb749, 0xc1e97213, 0x3b24a55e, 0x8ee2e01f, 0x5ad6c0fc, 0xbfd8df5a, 0x609f08c2, 0xfb66c1cc,
+    0x590fb866, 0x4cb3de92, 0x9122f31b, 0x61b3a36b, 0xb75a1745, 0x63dd1dff, 0xcdd2493e, 0xd58e5aec,
+    0xc5e4882a, 0x6abde430, 0x6cb6eb61, 0xf54ad41d, 0x9191faf4, 0xbbe0a292, 0xadde0f2d, 0xab5fd33c,
+    0x5ad99ef7, 0x95cb21bc, 0xf168b30b, 0x4767d0bb, 0xc7c2d930, 0x9c5d49cc, 0xe4c4df26, 0x1368b81a,
+    0x0c715db8, 0xf1824c5d, 0x9aee8667, 0xb2f42a20, 0x18f600d2, 0x73304f2d, 0x1c72a40f, 0x119f9329,
+    0x9ff0fe04, 0xecc517dd, 0x69fd5412, 0x45f44f3f, 0x85852597, 0x512d7fa8, 0x88eec8b7, 0xda531847,
+    0x28b06fc3, 0x8a189f2b, 0x2974ec25, 0x61397abc, 0x4bb439fa, 0xe71fc384, 0xce3a698a, 0x2391f2b1,
+    0xa4ea4b6d, 0x29dc5944, 0x0a71bc4c, 0x2687b808, 0x97fce060, 0xd6493a5d, 0x9fac724b, 0xc4d9ab08,
+    0xc12f3b2e, 0x2f2cf06a, 0x51583d7d, 0x0cec3a5f, 0x21f334d4, 0x6d5d0f2c, 0x6f95f88c, 0xb8949041,
+    0x226765dd, 0xc28e895a, 0x85d9dd6d, 0x69f992d8, 0xcbb1b8f8, 0xdb4c02bd, 0xed4517c4, 0xefc0854c,
+    0xf9f03cc7, 0xc2e7071f, 0xaddc25a2, 0x93f9b27c, 0x72e5981d, 0x42b83b91, 0x1f255aa4, 0x46bf0615,
+    0x9fd7e56e, 0x7fcc05e3, 0x74c8c5eb, 0x76475a61, 0x8acd46e2, 0xa5caad2f, 0x80ec3971, 0x34cc6c43,
+    0x20fff639, 0x085bf1e4, 0x88cfd25a, 0x448c5510, 0xca22eeaf, 0x5a51c8e7, 0x46d75635, 0x15cf603d,
+    0xd6558ab4, 0x884c5d54, 0xa389eea7, 0x1d0f655f, 0x356a5d68, 0x319a1758, 0xc9a0f09e, 0x9a43da95,
+    0x6c02ff60, 0xb0e3e9da, 0xbcaa0475, 0x044ce1b4, 0x4da388dc, 0x7d83e64b, 0x657d123b, 0xf98531c1,
+    0xb2d3736e, 0x65920f34, 0x1175cbd1, 0x86c1b0fe, 0x546418cf, 0x7f669acc, 0x9560e6a8, 0xbef221c1,
+    0x23828868, 0x9c356727, 0xfdb6f523, 0x36ab2dab, 0x4814ba07, 0x727f069d, 0xa2b20b4e, 0xe0fa4198,
+    0x3727fe8a, 0x798dc470, 0xd7e03d77, 0x7ad2182a, 0x34401595, 0xb57ce5bd, 0xe4c7cefd, 0x64801b29,
+    0x024d1232, 0x3426cc16, 0x999f3649, 0x2a420025, 0x81e49e1d, 0xfda117de, 0x4d08b988, 0xf1fe3ab0,
+    0x06484988, 0xe58473a5, 0x4a090d31, 0x378d2b2c, 0xdae49592, 0x2ea5b9d2, 0x6242394f, 0xa753c9a6,
+    0x58cff96a, 0xaeebfb2c, 0xf259fa17, 0x563ce255, 0x95fb8cba, 0x74952112, 0x4b037d92, 0x738ba5be,
+    0xf4ea5690, 0x0993187e, 0x99813615, 0x0b61f3ff, 0xfaa8a642, 0xa6c63370, 0x12491dc8, 0xb45f26ef,
+    0xf3d8535b, 0x9991af80, 0x4a769288, 0x83e25316, 0xc29a7969, 0x9d19c46e, 0x98a3d77d, 0x7704b310,
+    0x041bae7e, 0xc3c31263, 0xb4b5cedf, 0xd0835ed9, 0x89229a72, 0x5b522665, 0x20f2249a, 0x97cab2cc,
+    0xf7b42b2a, 0x33d2f906, 0x31c88d63, 0x98766e7f, 0x839eb627, 0x4f896272, 0xef46d4bf, 0xc64ba5fa,
+    0x4584b965, 0x1524f047, 0x536c5192, 0x5c4b62cb, 0xdbcb55f7, 0x077769d0, 0x7361e2c8, 0x0a780927,
+    0xac24d51e, 0x6738ad52, 0x3bb60694, 0x88743cc7, 0x5d5009a6, 0x920ce9d4, 0x745f7e9d, 0xa2626bd0,
+    0xe4d1b53f, 0x14bdf473, 0x4219215d, 0x6e896db8, 0x074dac2d, 0x0d7def94, 0x57e79050, 0x2627ec60,
+    0xf7aee785, 0x225e8c78, 0x22762bd7, 0x28bb4b50, 0xf8fba023, 0x1af56778, 0xdfec5c36, 0x0b255315,
+    0x5a21826f, 0x3eb1e566, 0x4765d30e, 0xc6c4a5df, 0xcd50483a, 0x5ca351a3, 0xf60557ca, 0xe88d0a5b,
+    0x0631b752, 0xd2ddb211, 0x956fdfda, 0xc58ea8b7, 0x826053f9, 0xb0b93cc5, 0x995957e5, 0x6e4ffd82,
+    0xf199b96b, 0x3086738d, 0xc7cd16c3, 0xbd83cb23, 0xba7a7d13, 0x717bdd99, 0x6efb47ea, 0xdc8401a1,
+    0x3d293f64, 0xba6a5131, 0x50bf7f9a, 0x481f9496, 0x914f37cb, 0x6c76888d, 0xe96f059c, 0x143c7655,
+    0x49d66491, 0xe00ba017, 0x9feb1b0d, 0x98906d68, 0xa1db0bd7, 0x86fa65ae, 0xdd3d9784, 0x7226275f,
+    0xb3c87061, 0x95c7a5c6, 0x4f68981a, 0xbb5dde00, 0x8e89a914, 0x630d6033, 0x45d0cdaf, 0x06211010,
+    0xd3a228bf, 0x82406a72, 0x90e5270c, 0x4d7c0358, 0xa4dc5d89, 0x0b42319f, 0x76b0544c, 0x5bfaa209,
+    0x2f8fc4d6, 0x6150e6c1, 0xa646f791, 0xf1e76584, 0x20cc98f3, 0x4152a07d, 0x2e3de7cc, 0x5e4c7e9f,
+    0xadb0aa16, 0x614dab79, 0xbf8de29b, 0xb152761e, 0xa45c0254, 0x6c55182b, 0x7b81c628, 0x0a9e4a44,
+    0x3852c48b, 0x2fd4f03f, 0x8fd3c6d0, 0xbdc28811, 0x6226767d, 0xf44543aa, 0x450c332f, 0x1784469f,
+    0xbbca3f58, 0x958fba85, 0x7ccf662d, 0x23d95651, 0x97ea3d6b, 0x60b677d0, 0xcbc263d0, 0x19457ba6,
+    0x2fc7948e, 0x8fb5c084, 0x513306bd, 0x698764ab, 0x0ac1c98d, 0x6b25fab4, 0x3fd9eaf7, 0x590767b0,
+    0xe735a420, 0xdfd058cf, 0x87a84a30, 0x8f362d8c, 0x93eaa23a, 0x7756b76b, 0x79a73f74, 0x41e55185,
+    0x53cb787a, 0xe3191e44, 0xc9e783f3, 0x1288b8a6, 0x25db73e4, 0x87873ede, 0xb9d8a760, 0xd88f5841,
+    0x05aea60e, 0xa7c82c7c, 0x19059649, 0xba9da435, 0xdf37a39e, 0xc3c12860, 0x9d9a1509, 0xfbfc9822,
+    0x6977ef4c, 0x6d1a8ec1, 0x25122e5c, 0x83f06f0b, 0x22bb42ed, 0xa45ed485, 0x826408cd, 0xb041dbe6,
+    0x6e94f3f5, 0x0fc5f49a, 0x4281d117, 0xb45d37b9, 0x8a3c0a53, 0x54c1892d, 0x9311502e, 0x1ec17cc6,
+    0x2ac838e4, 0xed83b494, 0xbd6f0533, 0xd4497504, 0x0191fa38, 0xe9d27840, 0x914fb27f, 0xaa329dbb,
+    0x694d9105, 0xc57f1715, 0x53869fef, 0x46afec76, 0x1115802b, 0x258f5f10, 0xa8148f68, 0x20c2a55c,
+    0xeafd2ead, 0x11fe7dbc, 0x33fd6443, 0x995da6e1, 0x9c36284d, 0xb241341d, 0x32e9eeee, 0xe7d8871e,
+    0xae26f238, 0x0db1938e, 0xc920957a, 0x18bf578b, 0x87106e6c, 0x376d73f7, 0xbf2f21d3, 0xff640a34,
+    0x978ef413, 0xad7e70e6, 0x4a0edf24, 0xbb641159, 0x4a749892, 0x80848dfd, 0x1138f354, 0xf6de829a,
+    0x2f92b7ff, 0x3b9f6a65, 0xd9c0f665, 0xd26fb4eb, 0xc21e7172, 0xbd1eb043, 0x537c13e5, 0xd243b5c6,
+    0xb9757c31, 0x918409d8, 0xabee68c3, 0x9c5f5d05, 0xf373ae29, 0xe499bf07, 0xa9b78e2f, 0x2db31ecd,
+    0xd6876c3a, 0x5e1460f3, 0x486f9f50, 0xebf6069b, 0x5cfc8df3, 0x5c8ed65f, 0x2b6a525e, 0xbbc0cd5f,
+    0xe81ce28a, 0xa57c9c6f, 0x4934996f, 0x88432539, 0x4d81add8, 0x9223beae, 0xe2b4f6af, 0xf907adbb,
+    0xc9bb57ec, 0xb893ce5f, 0xb692280b, 0x4d8825a1, 0xe2f5e45d, 0xc95811ab, 0xe27450fa, 0x80444d2b,
+    0x5612de74, 0x593f5eef, 0xb16faa0e, 0x45db1d74, 0x901d4f57, 0x4f45882d, 0xb41da2b9, 0x844e21a1,
+    0x8afb104f, 0xe8c666f7, 0xc5fb084e, 0x955352d2, 0x5a92cc42, 0xa9e9570c, 0xb453dd9e, 0xab08b2fe,
+    0xa4b3e403, 0xdf497bb2, 0x662a7d9e, 0xb8cfd341, 0x24010a75, 0x16416e98, 0x3616442d, 0x0296772c,
+    0xead99c17, 0xa40fc9c1, 0x31c9f83c, 0x37639b67, 0x29e9b296, 0x5721f8c7, 0x9a6db306, 0x05b33765,
+    0xddc62b30, 0xbd1cd9ac, 0x2bbe7875, 0xfe3482bb, 0x012c66cf, 0x152a1a45, 0x1f7e21ac, 0x2765776d,
+    0x73fcf186, 0x8b54ce7b, 0xf67dd0d7, 0xb330140f, 0x6c5ab241, 0xe1f5d161, 0x0d86fe1b, 0xe246dc02,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000012024538023802026126794140655561405\
+                         58016349465041059773802132977424491020858679523053413887173001575952350707712 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf,
+    0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9e, 0x16741994, 0x3f7a7754, 0x7ce8f892, 0xfaad8eb3,
+    0x00000000,
+    0x9181b43b, 0x222a59d0, 0xdcbe3eeb, 0x1bbbfe3b, 0x49809978, 0x440338cc, 0x332ba072, 0x294cc341,
+    0x153f97a3, 0xf2379270, 0x81b75105, 0xc74f3b00, 0xd8c0ecc1, 0x9264977c, 0xe4ff4c79, 0x370d9584,
+    0xdae21fbf, 0x45f772ac, 0xe6d99c3a, 0x81ba0264, 0x5adfd5eb, 0xd8f233b8, 0x0c70f802, 0x18b4cdc7,
+    0x9fab7514, 0x93fbe8ea, 0xfb1ebc8a, 0xec489bad, 0xe6c06ffa, 0x40a76012, 0xe72b9eb4, 0x0a38ea85,
+    0xe3e891bc, 0x1ca1491c, 0x7c07be0d, 0xb6d1b5ff, 0xb9f67b3f, 0x76f81885, 0x5b3ac382, 0xf7dd2b3a,
+    0xea9b7872, 0x3b0fbe25, 0x6062aad9, 0x1e1730da, 0x17e0dff9, 0xb66b1642, 0xe9c3855a, 0x442479a6,
+    0xec0f24f9, 0x79cb6ac7, 0x06511ae7, 0x96dc65f3, 0x1a240b28, 0xb5b8dd89, 0xa40b4843, 0x093db8f4,
+    0x100e53a1, 0x7f79b65c, 0x96e74be0, 0x3fc2d9d6, 0xdc419058, 0x3e003e3b, 0x51658cf9, 0xa7ee9c0b,
+    0x2a023745, 0x146425f1, 0x16b99e39, 0xefeeaeb5, 0xc9d88cb1, 0x1699908a, 0x3f6dc184, 0x8f5545e5,
+    0x0b261ec3, 0x96046d71, 0x58d10eb1, 0xe31f2bba, 0x5374c2a8, 0x1db0491c, 0x5406955c, 0x89fe2a0b,
+    0x5d2b8766, 0x71bd9854, 0x57a05a36, 0x1f9f1561, 0x1f4445d3, 0xb20d275d, 0xd72ee914, 0x92510f61,
+    0x3d1c30c3, 0xc4ee9bed, 0xca11b8a7, 0x9980ea15, 0xb3ef8a55, 0x9315a78b, 0x487f9f57, 0xc88121b7,
+    0x3dc2496a, 0xabfde5d2, 0x502ea7c0, 0xe63601b0, 0x849fa8f9, 0x7a80d546, 0x63f9f1f2, 0xd441abdc,
+    0x7467f089, 0x3df90728, 0x2305baf7, 0xcafd8997, 0x9134afb5, 0xe1e5feb0, 0x4cccc377, 0xe4143b3e,
+    0xe3964d09, 0x9c3b68de, 0xe5c889e9, 0xbb299295, 0x28c6984a, 0xe6eb6c82, 0xd23b8209, 0x6ff1ba0e,
+    0xc70d887a, 0xb3bb336f, 0x00983121, 0xf49bd236, 0xb75eb45c, 0x67deb8d0, 0xd25fcd59, 0x7ba6462a,
+    0x08017827, 0xe1fb8ed5, 0x4e305598, 0x026f9c9c, 0x90e3e65b, 0x87d7a5ef, 0x6eed9943, 0x3e7dd4bc,
+    0x183a7058, 0x0ce4325b, 0x057ac74f, 0xea3816e2, 0xdb9374a3, 0x5107b11c, 0xf854569e, 0xa233352a,
+    0x69fa3852, 0xf5d8d4a1, 0xe76c8bc1, 0xf67d1c4c, 0xb90a5bc9, 0xfc5b6f74, 0xe5426be1, 0xbc35af51,
+    0xdce68b53, 0x9d184f74, 0x6c131dd8, 0x4cd026c7, 0xa2424fa9, 0xb76afeaf, 0x13f741f2, 0x73ba8c86,
+    0xfff772ab, 0x64331d2a, 0xefd5b384, 0x3ee456e9, 0x76529780, 0x66646af9, 0xa530451a, 0x1e1dd18e,
+    0x73ae4e1b, 0xc0e973a2, 0xbbf65f4f, 0xef651f49, 0xc7fc970a, 0x6be185cc, 0x13e909d9, 0x3da18067,
+    0xd7fcc906, 0x88b4659c, 0x796864b0, 0x58ccd9ee, 0x2147b0c7, 0xea155fe2, 0xc08f2d22, 0x3adece79,
+    0xc68b09f9, 0xdf35a88b, 0x9abd39bf, 0xf0fb6e89, 0x4bfd58cc, 0xf32d8b2a, 0x877ffd84, 0x56218097,
+    0x05b0c671, 0x17656eeb, 0x21af81e3, 0x71c747d9, 0xf91e1e54, 0x7830d3b4, 0x5fa4ae18, 0x8a5a5db2,
+    0xdfadfd9e, 0x9813538a, 0x048bd901, 0x645ffb4c, 0xeb1a6278, 0xb3eec4ac, 0xe6ddeb35, 0x8fca2c49,
+    0x1cfab8ab, 0x29cb0deb, 0xac0a7647, 0x7bf77364, 0x996e8d31, 0x85051cc0, 0x9afc939c, 0xe01a898a,
+    0xe9a98604, 0x24bfcd7d, 0x693b5ef1, 0x0d9bd378, 0xb4236c87, 0x9f868563, 0x7c1b9ae3, 0x370e480b,
+    0x6065635c, 0xff5e4840, 0xb1f0631b, 0xc9bfd350, 0x3c7340e3, 0xd76fab6e, 0xb8a906ac, 0xeecd276d,
+    0xf4e3729a, 0x5f6fd8d8, 0x6a4825bb, 0x80f956bc, 0x75c80d93, 0xd8d5f592, 0x8e323bf2, 0x4e83796d,
+    0x5dc8169f, 0xb93d1707, 0xeab3e04d, 0x2a94c43f, 0x0accf0bd, 0xe0dd3641, 0xf5b218e9, 0x0cadd022,
+    0x1332de34, 0x05580562, 0x6064cb34, 0x9ff0baf0, 0x703c84a1, 0x2eb0661d, 0x094c6a40, 0xadab82f2,
+    0x3bf8f3eb, 0xf6cb235e, 0xfda6c23b, 0x097ccfe4, 0x5a1cbe3f, 0xbe9fb975, 0xce1f45ea, 0x1a4d0e07,
+    0xe3405435, 0xaeb37e7a, 0xaab5ac3b, 0x29545855, 0x1737224f, 0x461db428, 0xb4a924c7, 0xd374408e,
+    0x1d3be47c, 0xa1e4358c, 0xf5c697fd, 0x94e428af, 0xb616da61, 0x514f795d, 0x48e8c17c, 0xb2722011,
+    0x7cd422e0, 0xa32066b1, 0x448300a7, 0x9b648bf1, 0x190716da, 0x0c97807f, 0x70d3ff1d, 0x6194073e,
+    0x5684a440, 0x72a53bc2, 0xb50e07e0, 0x531d0633, 0xca3ef2c4, 0x6f1b3661, 0x73e44a43, 0xf3949a45,
+    0x85f56fe6, 0xf2ff547a, 0xe32799b0, 0x6321584d, 0x1fa96d55, 0x25fc988c, 0x2c6a7e67, 0x8c56f332,
+    0xbe5b52f4, 0xeacf01e3, 0x4b46f374, 0xe7807e1f, 0x195de7a0, 0xea0ff271, 0x7284d686, 0x0cdce3bb,
+    0xf7941941, 0x7d02d3a5, 0xc1bd6c46, 0x5bf80ffc, 0x3621b1a6, 0x8fcdfccb, 0x3fac40eb, 0x918add04,
+    0x480e83c1, 0x95d86efc, 0x0e8284f1, 0x6b76eb5d, 0x3ea65912, 0x4bac744a, 0xf6fc9fb5, 0xff5fa248,
+    0x6bfefc99, 0x90c4431e, 0x314f9cf0, 0x817c06c6, 0x5fb3fc56, 0xb63fca6b, 0x8449ef1c, 0xd076b0af,
+    0xadf8cdf8, 0xc21bd1b4, 0x4088c8f5, 0xcb62edec, 0x58af48b6, 0xf8851f3d, 0x2727f381, 0x44464711,
+    0x73a96f7e, 0xd32eedec, 0x33bee71a, 0xbbe2841e, 0xd8ef3131, 0x28852797, 0xfbfbd3d1, 0xca55b24e,
+    0x32012620, 0x89fae907, 0x767edf79, 0x77008469, 0xe2cb1f82, 0x6e5b3c4c, 0x4a820d4d, 0xaa3e27a5,
+    0x83e6f534, 0xfd19ac4a, 0x38b11b7f, 0xbc58eec9, 0x2b5dde2e, 0xe5c078c0, 0xb13bbdbe, 0x6ca3d348,
+    0xf18a80e9, 0xcc6ade81, 0xfd25b983, 0xef9cc01e, 0x2e6de809, 0xbdbac488, 0x0154835c, 0x4f2167f4,
+    0x376e8538, 0x66520462, 0x81a214fe, 0x661f1109, 0xb9bf272d, 0x23219342, 0xe79b2c3f, 0x9fba1d0f,
+    0x3a14aeb8, 0x480d9d16, 0x07488656, 0x74814088, 0x26e90181, 0x0d352935, 0x03a5fc77, 0x6f594479,
+    0x346c3e68, 0x6346ccb3, 0x33407a7b, 0x9d77e01a, 0xbad341cb, 0xf3f4ec40, 0x25ce5e43, 0x6642d735,
+    0x87b9f209, 0x2598d60c, 0xacc15e79, 0xd4e2689e, 0xc2d56ffb, 0xedf76909, 0xbbbe4e06, 0x3c5cc882,
+    0xfd96f7a2, 0xcd86a414, 0x46b8c55d, 0x9aa45465, 0x612a72bf, 0x33c8096e, 0x9538bcfa, 0xfcd61dbd,
+    0xb9df7375, 0x0cd8ba5f, 0x37505a5d, 0xafc437c2, 0x1966728d, 0xe4bc7908, 0x11da4f1e, 0xa87799f2,
+    0x9da73c97, 0x65a6b5b1, 0x0c959d68, 0xc6e34f99, 0x43c7c794, 0xbdc4a199, 0xc513241c, 0x33a72e2a,
+    0xf3147d2d, 0xe8df3fb2, 0x14a48a16, 0x3137714c, 0x4169f805, 0xb1b422b8, 0xe53f8414, 0xad9fb949,
+    0x81d55e01, 0x52bb1031, 0x4856bc91, 0xd0b6b00b, 0x2a7f0d23, 0xaa7860fa, 0xb5697ac1, 0xb352538d,
+    0xdae43066, 0x605d3c95, 0x76c8b088, 0x09518db6, 0x1cdcf533, 0xcd7a161a, 0x89729461, 0xb2d4866d,
+    0x70d91494, 0xf9cd29b5, 0xe5cfaf12, 0xa8fc3539, 0x3d106bfb, 0x4599cfb5, 0x21b74181, 0x0f2b9fdd,
+    0x455f2ad9, 0x7974a5f6, 0x04344e6a, 0x88246780, 0x4fd1f0c9, 0xc6bd0d36, 0xd24be9ce, 0x21e055bb,
+    0xd52cf06f, 0xb30171b8, 0xe6a04bd1, 0xd6253012, 0xdddc2970, 0x4e9034fe, 0x19441de9, 0xf9cec92f,
+    0x6241896c, 0x9e949cab, 0x4d0e29da, 0x2dc90e25, 0x29fd1bf7, 0x905669c4, 0x50621bce, 0xd69677eb,
+    0x4b6e12bd, 0x694c6d23, 0x9121f475, 0xc989748b, 0x4b2ff845, 0x064b2ba6, 0x36999406, 0x449eb299,
+    0x9d97c641, 0xd5252384, 0x481e9b05, 0x9b8ba76d, 0x51e2c2da, 0xd7eb627b, 0x8e824323, 0xa9ab541b,
+    0xc0c95f12, 0xd9b4dbdd, 0xc17757d5, 0x2f0998f3, 0x68709728, 0x7620a14d, 0x1b561d2c, 0xfb4a4bec,
+    0xe3c64db2, 0x3aee9fdb, 0xf5eb8868, 0x1c798d32, 0xb49b6c8c, 0xd1f5d328, 0xcc81a57a, 0x0a29ab00,
+    0xeef8b16e, 0x38c58b70, 0x7d09aeee, 0x14b063f5, 0x82c222b9, 0x885f1d64, 0xcd1bd1d3, 0x98808a19,
+    0xf15b890a, 0x321ad913, 0xed9ad0a5, 0x63518cf4, 0x1003f46f, 0x2c5ef770, 0x03179398, 0x6444d4cc,
+    0x763a751b, 0xde4b9be7, 0x3dc72b72, 0x58ef0e32, 0xb0f5c503, 0x362641e6, 0x4133dcfa, 0x01911dd7,
+    0x183455f5, 0x374a36ee, 0x00e9ee10, 0x1fa62e75, 0xf5de2a71, 0x1c0f657b, 0x30589bd8, 0x3a328cd3,
+    0xa5e8c25b, 0xe1339e3e, 0xf1eef374, 0x1778e00a, 0x36d4393c, 0xb6101af5, 0x0cac5073, 0x2f52a4f3,
+    0x4e0bb188, 0x5325f804, 0x2436c225, 0x9d56ee0f, 0x88760bd1, 0xb0187cb7, 0xf0f00f87, 0x95c9441b,
+    0x47bd21f6, 0xd6aa2499, 0xb56cdeb0, 0x8a25088d, 0xeabe823f, 0x49a9dae9, 0xf6de7558, 0x8b8ef895,
+    0x95c366ee, 0x85e484f1, 0xe7f9a5b4, 0x98ae0ce1, 0xaa1eeace, 0xebaab2e4, 0x4bb9ed5f, 0xc01d134e,
+    0x05d8c9be, 0x720e7ceb, 0x875c98ba, 0x4de50aba, 0x0c28cb4a, 0xb93ab80d, 0x45ac8975, 0xf77942a5,
+    0x5658503f, 0xe0836a54, 0x9fb468ab, 0x3f6490e6, 0xfc596b81, 0x90410c61, 0xc72fd220, 0xe2214fa0,
+    0x09c3e5d1, 0x6d863b77, 0x1a29b984, 0xe6120a64, 0xb1c98fd8, 0xf1cbd777, 0x49bc15d1, 0xb9afb252,
+    0x62786750, 0xfcf17ce3, 0x5f927317, 0x248563b4, 0xa86b200e, 0x98bff1f9, 0xd3e3824a, 0xc11e5f43,
+    0x03a91884, 0x3851c485, 0x85ede458, 0x1e29e452, 0x5c7642d3, 0x044f6055, 0xaa37a588, 0x886dbb29,
+    0x61e2ad09, 0x927ffba5, 0x0d2dd92b, 0xc84f6cbf, 0xc8cc2016, 0x98352747, 0xe311b790, 0xe1a6de64,
+    0x16171030, 0xfacdaa47, 0x262a80d6, 0x1e2cc798, 0x20ad5ee4, 0xb72c7bfe, 0x6f93e45f, 0xa5b6c43c,
+    0xefd419f0, 0x3e9a9771, 0x6437687d, 0x0bec4545, 0x2c0a50c9, 0x39292234, 0x22cf5518, 0x152ab977,
+    0xa0664c6e, 0x91d6d49c, 0x3764f16d, 0x7c19a81a, 0x2fb6084c, 0x140cf373, 0xc352226f, 0x82e6bcaa,
+    0x2a409fc6, 0x4de7a05e, 0x21c9a781, 0xb250e58c, 0x225e112a, 0xce2d8790, 0x59da0c36, 0x367b5f76,
+    0x827f318a, 0x0cfc1bfd, 0x48a224a5, 0x2f920daa, 0xe9610677, 0xe563527b, 0xc6f645a8, 0x63312a58,
+    0x80981982, 0x8dd69f5d, 0x6ebc6b19, 0x0fe2e637, 0xe5bf4609, 0x409d421b, 0x43b81ee4, 0xc8457b00,
+    0xc130d020, 0x24b1162b, 0x4a7b96ae, 0x46ff3ba6, 0x2ce0f70c, 0xe96b32d1, 0x22f608d0, 0x2577f843,
+    0x7d0c2b35, 0x4bd4a2ce, 0x5d056aab, 0x4ee35fb6, 0xeca4c15a, 0x4874c212, 0xe1683d5d, 0xfc7c2a2c,
+    0x5b3c136c, 0x1c13a21d, 0x1b219e0f, 0x7a883c32, 0x563a0bec, 0xadf8a50d, 0x79fff601, 0x153e8fd1,
+    0x9c5c5323, 0x9a530925, 0xcd36f6c2, 0x5f492035, 0x26c2fcb0, 0xcf648e0b, 0xe984d509, 0x5e7a226d,
+    0x6a3c1541, 0x03eeafdd, 0x6c8591b5, 0x30f43f3c, 0x81c48636, 0x2c8acfc0, 0x91499aba, 0xb3955bb4,
+    0x25def840, 0x2ba9c80f, 0x82c15f0e, 0x9a91d1ee, 0x7e91c238, 0x2405d886, 0x95e7f15f, 0xb2e2094f,
+    0x801240da, 0x809bb7ed, 0xe4fbf89f, 0x1a4774e8, 0x865a259a, 0xeda8f9a6, 0x1b21d4f7, 0x60dc89ea,
+    0x4c27f759, 0xa3ba5469, 0xc78c5e07, 0x2c0ecbb6, 0xb8e93302, 0xf6669ec1, 0x86a3be55, 0x2b4513e7,
+    0x70925a27, 0x61d35d2c, 0x205cb4b6, 0x98991b7c, 0xc4a4c027, 0x8b1da8c5, 0x20770f96, 0xf4f2e408,
+    0xe5a19f53, 0xc94a237d, 0x855efafd, 0x0115f5bf, 0x4229f64f, 0xeec07fd3, 0xe3927d29, 0x5c4df6c3,
+    0x6ad22cf0, 0x8cfa12f7, 0xac411454, 0xfbebb352, 0x47a5a8be, 0x810bcf84, 0xf3e5d2f6, 0x73bed214,
+    0xe0677b0e, 0x848c74bc, 0xdb01763e, 0x8d5d7b2b, 0x8ea14338, 0x5310e2f1, 0x4eaebad8, 0x0fc6bd45,
+    0xe8055d65, 0x3d7c0591, 0x72a8de15, 0x64f5e840, 0xbe750c03, 0x2726211a, 0xe9bd8c99, 0xebf08d58,
+    0xd63934b3, 0xf7b29ab0, 0x7e0aa38a, 0xc71c7c96, 0xca6c62b7, 0x9ca9b8a1, 0xa534162a, 0x003f4d37,
+    0xd0fee14a, 0x10c6f400, 0x1ba54cfc, 0xd8189001, 0x50a40beb, 0x3653437e, 0x4d309bdb, 0x32bb45d2,
+    0x7a1e5e0d, 0x29dce4c3, 0x8c82d884, 0x5a959569, 0x4e8ee2f0, 0x3edd9042, 0xb79f8be7, 0xe1f4a367,
+    0xa115ab50, 0x228a288f, 0xb7bad274, 0x19af229b, 0xebacd960, 0x0917aa69, 0x455348b8, 0xf99f0db4,
+    0x12d29364, 0x8304ac00, 0xa495468c, 0x79ec3280, 0xe46f47a9, 0x20cc8c97, 0x6d609194, 0xf091e08b,
+    0x0475590b, 0xf63a004d, 0x6384224e, 0x339ae8a4, 0xa718f0dc, 0x7275e889, 0x16c0a97b, 0x60d1d26e,
+    0xacfd2d2a, 0x18760220, 0x88e18fbf, 0x3f7dc6c5, 0xbb6803d9, 0xec17ac1f, 0xd74f920e, 0x58fd1a8a,
+    0x3a4fcd44, 0x1f9741c8, 0x0e2d86ca, 0xa3138e0d, 0xddcff811, 0xfc33e101, 0xa4995346, 0xd01fa699,
+    0x034e0d98, 0x72466270, 0xd37d235f, 0x540eb5dc, 0x9f1ff3d7, 0xc5a9fb9a, 0xdb6a8041, 0x3312852c,
+    0xf295d5de, 0x5afc1cec, 0xe98c4b3f, 0x8ceb6a62, 0x5368aed5, 0x42e76855, 0x253081ba, 0x0301e563,
+    0x5dc5a61b, 0x85eb9023, 0xc0b0fd36, 0x423369f2, 0xddb6cd1a, 0x0f1312f3, 0x7f8f170c, 0xbf4b4c8c,
+    0xfbf02cc3, 0xa48514df, 0xf85d3cd9, 0x182db07c, 0xcaa3a3ee, 0xfc3cd3e2, 0x3aa4d682, 0xdc2386dd,
+    0x89fa4662, 0xfc3dc710, 0x67905c0e, 0x3fdec567, 0x723fab93, 0x61c0ab83, 0xe339a784, 0xed01c100,
+    0x41dd393f, 0x13e233d8, 0x6916ac1a, 0x61d0ebf0, 0x9b43ccda, 0xd0ffba5e, 0xed59e0f9, 0xfb3c50ab,
+    0x0816f094, 0xaf2c6302, 0x88135f7d, 0x85fc0f07, 0x337e3ac0, 0x64c9867e, 0xf27cbdbc, 0xa1927b90,
+    0xc819e8f1, 0xd7288828, 0x4f043cc7, 0x71a58864, 0x2bdc2a10, 0x80127e5b, 0x550601bb, 0x29d2ff9a,
+    0xb112b4d1, 0x3d02031a, 0x791c4241, 0x4ea7cb05, 0x9a2194a2, 0x7ab36a4e, 0x03c40918, 0x73bbdd7d,
+    0xae9c0144, 0x2cd865f6, 0xd9c52d2f, 0x8c432114, 0xd080bcb0, 0x9074e8f3, 0xf81ab1f9, 0x51777bb8,
+    0x2e655f33, 0xd3fa723c, 0xb17e7dae, 0xa3842c3d, 0xddae6551, 0x88b546bb, 0xd43b33d6, 0x779697f4,
+    0xb8683e9b, 0x05e5aa4b, 0xcb5ee548, 0x9a788cdd, 0x3a95c71c, 0x34ee8e37, 0x430fb982, 0x13e5979d,
+    0x1c672695, 0x0fac09ad, 0xf8be345f, 0x4586cf6d, 0x94c0e50a, 0x199b9a16, 0x2d2d8b81, 0x00a49be3,
+    0xbfe205e7, 0x84e24f96, 0x43447045, 0xb4fe0f27, 0xc4892ef8, 0x302c0eb7, 0xaaf3f7cd, 0xcee73135,
+    0xfeb64306, 0xef7101cf, 0x97c8ea0a, 0xc981125a, 0xbe73881a, 0xbe7a314a, 0x71918d31, 0x13d4de13,
+    0xbb303623, 0xe8099cb2, 0xbf6017cb, 0xcb59d95d, 0x4cf60790, 0x5263f474, 0x1122287f, 0x0e7af199,
+    0x2b145fbf, 0xb24589b3, 0xd8c28167, 0x18c7b5d2, 0xdf301265, 0x0727a50e, 0xd4d82e03, 0x054d2315,
+    0x9191a5bc, 0xd7d8ee59, 0xc4916344, 0xa1d53e8f, 0x80eb3006, 0x309d4b4c, 0x95915e9f, 0x7e37572a,
+    0x2f6214ce, 0xeaa389ea, 0x3e60e077, 0x68fed518, 0xd4f0586c, 0xfc1cc660, 0xa648849d, 0xc43fc012,
+    0x0110c868, 0x0836766c, 0x16e22cd0, 0x87bd7021, 0x3680f9b4, 0xbb099ccf, 0xd198d0de, 0x2e01a85b,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000006012269011901013063397070327780702\
+                         79008174732520529886901066488712245510429339761526706943586500787976175353856 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f,
+    0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105cf, 0x0b3a0cca, 0x1fbd3baa, 0x3e747c49, 0x7d56c759,
+    0x00000000,
+    0x88790fdf, 0x95678225, 0x4f5d7d94, 0xe4a878a9, 0x837bba71, 0x3e0e3e8e, 0xbee838df, 0xdc056007,
+    0x7854b368, 0x08faf2c1, 0x6a717855, 0xfd439c7c, 0xdff3d4bc, 0xe7b00e59, 0x084766e1, 0x6b2f0b4f,
+    0xaf722aba, 0x170119f2, 0x7fe9f2c7, 0xc70986fc, 0xbada055f, 0xf184d80b, 0x53e2c6bc, 0x1b1ef9a9,
+    0xad9b7327, 0x9e7de0f0, 0xd0c405dc, 0xabb4df19, 0x903bad32, 0x685d461c, 0xdffc106a, 0x3a1c2e5e,
+    0x209eb8d3, 0x7c276e4c, 0x9dffe5a0, 0xd6109ae4, 0x1ce04fdf, 0xeb991d77, 0xee041899, 0x72c57a6c,
+    0x2c9e3e66, 0xdf766455, 0xaa45fb78, 0xa8ebbf43, 0xc6da811a, 0x8abdc180, 0x60202466, 0x356145a0,
+    0x65894e46, 0xfbdc9fee, 0x928bd69e, 0x54228905, 0x07d5a818, 0xbff5f326, 0x3fb11d8d, 0x2aa700e9,
+    0x09530d97, 0x03432ae4, 0xbdc70340, 0x9c8df5e7, 0xe48452a7, 0x579cd953, 0x5c9002e9, 0xe4d6aede,
+    0xd7322cf5, 0xc30631b2, 0x886e87dc, 0x6c9f8c65, 0x5ce5a6b6, 0x1624f7d8, 0xd5e506e1, 0x36bbfdea,
+    0xfdc50520, 0xf088a726, 0xc7e63eff, 0x9c3bb2cf, 0x1d2f4ce8, 0xd122faf6, 0xf11df319, 0x1e42ebce,
+    0x884444c5, 0x78232b75, 0xac1ddcae, 0x79dc6c9d, 0x51eefce3, 0x763e93a8, 0xd15bc8f8, 0x08ee5ba7,
+    0x84f498c7, 0x99de49d1, 0x3aebabdf, 0xf2152a08, 0x2a904274, 0xa9992e3a, 0x6b5353e0, 0x7a8e375f,
+    0x1811304f, 0x1fe61c55, 0xcebf7f82, 0xc82e8d02, 0xa0c28df1, 0xb12a9824, 0x8c36f4da, 0x0c5e65e4,
+    0x635d2acb, 0x423dbf74, 0xcfda5230, 0xda5607d9, 0xf29da400, 0xfe201a8a, 0xa75de05d, 0xc43b0a4d,
+    0x21c9bcc0, 0xae02c453, 0xb1e93d15, 0xe897cdf4, 0x6177d214, 0xa38897e3, 0x8ddd4a6e, 0x2aaf8aa2,
+    0x9799a6df, 0x19477249, 0x366eb549, 0xc5aef1cd, 0x0a1203b0, 0xced12e1c, 0x5fc97f3b, 0x70e88913,
+    0x30cf456d, 0xb16f9825, 0x23fb10cf, 0x1bc1518e, 0x3f813900, 0xdae00b00, 0xd946e2ba, 0x9b93a538,
+    0xf5e032a3, 0x7f8ef2d4, 0xedacff4d, 0x10610849, 0x4b42e678, 0xa9f7ddd1, 0x23d4efb5, 0x01c73e5c,
+    0xa61012c7, 0x96ec919b, 0x654fd7a9, 0xaad02f8a, 0x4b48f3ee, 0x998116b6, 0x3d7134fd, 0x1c9d930d,
+    0xe5c55e8c, 0x542dfc62, 0x17db1c56, 0x38456cc9, 0x5ad5874e, 0x5b6acb8c, 0x886f3f62, 0x4e7add67,
+    0x26a7ba69, 0x8f9ec4c2, 0xc72da059, 0xfa593b49, 0xa70a094b, 0x93721e4c, 0x9a3c22af, 0xc7f05fea,
+    0x4b75bde5, 0x2b8d1f3d, 0x160de18d, 0x182867aa, 0x46df757e, 0x63a27061, 0xe86f2782, 0x19f74143,
+    0xcdc7ebf1, 0xd38b2fbe, 0x522430fb, 0x2c146245, 0xb4d07eb0, 0xb4ca7dc4, 0x836dea25, 0x31bfc773,
+    0x4ad51de4, 0x9423819e, 0x013817fa, 0x4785be63, 0xd04b1841, 0x3f3a3155, 0xd88b1efa, 0x58600444,
+    0x02579b1a, 0x60467bfc, 0x377aa84e, 0x5f9d284a, 0x13da5899, 0x6da63691, 0x5d3ff8a0, 0x082e989b,
+    0x72878948, 0xc35ba04d, 0x332e016a, 0x91de8750, 0x16b94bd1, 0x38fe9724, 0xf957e0e3, 0xcd4749d5,
+    0xc50d7401, 0x3f804e15, 0x765b5e7d, 0xd0d4b909, 0xafdedfb9, 0x2bf42d1e, 0xb0fe734d, 0x32ea8685,
+    0x567c994b, 0x58899ee8, 0x5d03e9e7, 0x40808f5b, 0x214f287b, 0x433996c9, 0xfbe1f6a6, 0x14e5c6e0,
+    0x4fc12f20, 0x6dec0d46, 0x5e2b79da, 0x8128fe36, 0xea95a179, 0x8b31576e, 0x9cbb630c, 0xdfc9b5a5,
+    0xa0308b5c, 0x85731a53, 0x9073fff9, 0x8ad604be, 0xe39c9e28, 0x4610fc01, 0x666d2752, 0xe9177cad,
+    0x94b6e8be, 0x60d22943, 0x80e68fd7, 0xf69a5ffc, 0xa8e6b407, 0x15595b79, 0x13fabfa1, 0xef6520c7,
+    0x440ca5c9, 0x11004f24, 0x93aedb0f, 0x200cde59, 0x03449b3c, 0x38f100e7, 0xbdec693d, 0xb46b9ffe,
+    0xd26a4bae, 0x5c8bab37, 0xb8a934db, 0x1b06defc, 0x13b0c77b, 0x33757878, 0x1367fb18, 0x874c064b,
+    0xaae33f71, 0x20f81f8f, 0x69dc5ea0, 0x839db931, 0x7e5d1ea1, 0x0941d0d9, 0xacd68037, 0x14cf71d0,
+    0x7d5e17ab, 0x1605f228, 0x96ff6307, 0x36c81ec4, 0xc02595a7, 0x541e8532, 0x10a86c70, 0xd0317a5a,
+    0x074714fb, 0x5708994c, 0x5c06a51f, 0xdf67bf51, 0x163e8b45, 0x5b995352, 0x1d11b4cd, 0x6977071b,
+    0xa279cc5c, 0xf809faf4, 0xc2b93f02, 0x83dde3bc, 0xe829b002, 0xab889c14, 0x79756b9b, 0xd1890932,
+    0x405a8cfb, 0x88ae3267, 0x86c22654, 0x3f2bb27f, 0xd51c9176, 0xe0d034cd, 0x8e96981a, 0xad6fcfbe,
+    0xc045fa19, 0xeaf9a412, 0x69558386, 0x84be8911, 0x6f5de10d, 0xf6b948e8, 0x2666c982, 0xde32bec8,
+    0x972f0ce9, 0xfa850f47, 0x0dfc6c74, 0x84393e6a, 0xd139e222, 0x52bc5eb0, 0x013fa0e4, 0x89fad530,
+    0x2548a68a, 0x20298771, 0x897580ff, 0x517c7110, 0xaf8204a3, 0xcb111643, 0x3aa8d756, 0x75e5ea47,
+    0x0082c084, 0xc9f79583, 0x7ba0f2ab, 0xcd84845e, 0xf17cd3e4, 0xb81e2aa3, 0x6eb8672e, 0x08a37580,
+    0x1b317b16, 0xeb51ebf0, 0x72549752, 0x8f710b84, 0x32655636, 0x8c4b602d, 0x5c8a2264, 0x07401f84,
+    0x346c0527, 0xc5d98a46, 0x061070f2, 0xfeec98c0, 0xa34c6005, 0xe2774c6c, 0xb6d886ea, 0x4168d2ff,
+    0xea214b9d, 0x874f758a, 0xa4f969db, 0x16956e8d, 0x50727749, 0xf95cab69, 0x8bb9addf, 0xb4a703ff,
+    0x236f8138, 0xca9305cc, 0x972752f5, 0x679456aa, 0x158da7be, 0x8a6d07d0, 0x7a4fd41d, 0x79a039c7,
+    0xebb73348, 0xfc6eefda, 0x01afa23f, 0x01f8228a, 0x683b364a, 0xd6643265, 0xeb4ad0ef, 0xfabec1c1,
+    0xae2ff11b, 0x4dc2c137, 0x45f7ecd9, 0x715cc34b, 0x128bfb58, 0x41203d2a, 0x8a3f08bd, 0xe587371b,
+    0x4b36ac94, 0xac26bc00, 0x2dbef06f, 0xe53e524b, 0x93b8b5b4, 0xfeea4994, 0x52022fac, 0x56007914,
+    0x69834d8d, 0x82fb1237, 0xf30d5aee, 0x8dab758b, 0x939a5c81, 0xac342a1a, 0x0ce1451e, 0x110ef928,
+    0xc5f7cf44, 0x0a258095, 0x15728b3d, 0x6ad5d9d5, 0xbf5c2e6f, 0x90f1fb5d, 0x6eeb312e, 0x4a9024e3,
+    0x9d1ade1f, 0x2b57cb90, 0x0d147b8b, 0x941b62af, 0x3f048543, 0x7d05ed1a, 0xe1904dee, 0xd014be38,
+    0xf0205081, 0x747b4d86, 0x3832aa6d, 0x237425e8, 0x8ff59e2c, 0x13485c59, 0xe20fe8b1, 0x7288ce32,
+    0xbe4b858a, 0xe00faa2a, 0xcad9e33f, 0xddf27dea, 0x1918cd39, 0xa404e04e, 0x90800028, 0x954d9f05,
+    0x6bc5fb6d, 0x37e541a3, 0xf2d6d231, 0x70a122bd, 0xe715554f, 0xa4031eb8, 0xc0cde201, 0x2222b22c,
+    0x977246f7, 0xd470769f, 0xeec95f13, 0x5e18288f, 0x783b1ba6, 0xae242595, 0xa002866e, 0x5536b224,
+    0x30049a96, 0x068d70ba, 0xfa39c76f, 0x29f96102, 0x3d6a09d2, 0x2647d017, 0xee580ac5, 0xeda6bf9e,
+    0xb7334ff8, 0x4ef4addf, 0x072c43d9, 0x5c20c983, 0x709be36f, 0xd76b8283, 0xedc9419f, 0xd4e9c6e8,
+    0x451ffc30, 0x10c40045, 0x6988ff9f, 0xc6f3f3ce, 0x8b5cb584, 0x92d13254, 0x0c7443c4, 0x2c4e34f8,
+    0xadbdf860, 0x9f5d1f0c, 0x4398d3b8, 0x59f4099f, 0xcf032418, 0x6b6190b5, 0x1fc0d17e, 0xbedab0cc,
+    0x023f86e8, 0x2eb7f4b5, 0x8e00f880, 0x8a39225a, 0x28acdba9, 0xb8e59671, 0x1cddacaf, 0x824fc007,
+    0x351f9678, 0x13d4728e, 0xc8dbfdc6, 0x904a12d1, 0xc386fe60, 0x277b8732, 0x12401190, 0x097cd237,
+    0xb7014e80, 0xe3f92e7a, 0x68f280d2, 0xb6db052d, 0x4749c961, 0x810651e1, 0xcca7d670, 0x9b1ea1a7,
+    0x646682ee, 0x165184cf, 0x7ff9b1f5, 0xc5d67b66, 0x50425013, 0x94b96959, 0x19f17d8e, 0xb76e7008,
+    0x31b28ad6, 0x64c913fc, 0x06e07a70, 0x731d6f64, 0x128adb20, 0xc8afcd75, 0x804d649a, 0xfeb773bd,
+    0xacc751f3, 0x7340a309, 0x2099d480, 0xcdb21e66, 0xab41c6b0, 0x8d6a7136, 0x300dcd85, 0x67d230cc,
+    0xf20b2474, 0x66471d48, 0xa41ccfb5, 0xbb70aee3, 0x7b6600c5, 0x5f1aad78, 0xa8cc16b1, 0x0ca574b1,
+    0x8ea2d838, 0xb502930c, 0x3ab660ad, 0xdf72dd67, 0x6f6cbd99, 0xe1716a75, 0xeac7496c, 0xf15550cd,
+    0x7105e23c, 0x0fe1fef9, 0xb3592af1, 0x24e1fe29, 0xe3edc998, 0xd49ca2ce, 0x0956ff2a, 0xe8f07b4b,
+    0xe777c5ab, 0x4d40faa1, 0x0d4bae2c, 0xfa331c7b, 0xd6264a31, 0xc75cdcda, 0xdf3708dc, 0x837ce8ec,
+    0x0480971e, 0xd1deaa95, 0x996507b9, 0xf48a7b36, 0xe72db1bc, 0xa351d683, 0xd10aaf7f, 0x5e49ac35,
+    0xdfd331d5, 0x48e81db7, 0x5a9b9841, 0xbef78579, 0x2e08c4a6, 0x507eb9fd, 0xbd826492, 0x644b9379,
+    0x1ab35097, 0x06751ade, 0xd2d80749, 0xf76bc924, 0x77432501, 0xcb4af4dc, 0x8f4613a4, 0x40c8d5aa,
+    0x086c2b98, 0xbf1ea23c, 0x9c399be2, 0x3d20ffcf, 0x089cbfe4, 0xae426361, 0xfecc88f8, 0xaacb4dd8,
+    0xe90225e4, 0x5b33058c, 0x673f3362, 0x512985f6, 0x4b12e800, 0xc46c5d71, 0x0b643441, 0x9466a464,
+    0x285f7b6b, 0xd9ca8747, 0x11228734, 0x88592684, 0xef7d13d9, 0x3f8eebea, 0xbc9c3f6b, 0xb53e4ad5,
+    0x46e578cd, 0x300fddb0, 0xcc22ea67, 0x598a2a00, 0x82bba99b, 0x4e862115, 0x3848bc85, 0x7ff1f4f6,
+    0x12986ea7, 0x32895f53, 0xcdd0ce1e, 0xd35679d7, 0x31ff2b6d, 0x4e776c15, 0x73d47747, 0x2500c612,
+    0xb8940cc8, 0xcf20707b, 0x9c19bfb9, 0x97136384, 0x4e79a272, 0x58b1722e, 0x6e5ae424, 0x6f024193,
+    0xc6ebdfc5, 0xf2bc39d7, 0x2d49f7e8, 0x0a203553, 0xf70aeaaa, 0x024b5d56, 0x77560da2, 0x4d937718,
+    0x61ec35b0, 0x3c4abd4a, 0x298b3b40, 0xfeae8a7a, 0x4108d082, 0x46df7b0d, 0xa3ce90a8, 0xd3e93d49,
+    0x1b6f48c8, 0x17134006, 0x5deee806, 0x9168b06f, 0x43721d35, 0x7ccfcc09, 0x454ce3ed, 0x93a86fc6,
+    0x8aac44a3, 0x2855359e, 0xfc98ef3b, 0x290914f5, 0x2a40c7a0, 0x42bc2928, 0xd730a3d2, 0x7bfed44f,
+    0x13456ef7, 0x6f83bee6, 0x3070d571, 0x1943c5db, 0x8af6e588, 0x846323f9, 0x1e43b4a3, 0x894097c2,
+    0xb0489f92, 0xc46b7034, 0x4a6b665d, 0x571d23e4, 0xecbaff54, 0xd9106be7, 0xd96f3e0a, 0x7e8fa8d6,
+    0xf5cf1f94, 0xbfd5778b, 0x009c9c09, 0x9aff7c50, 0xf03b45bc, 0x2cbda15f, 0x34976d9d, 0xe0469a3b,
+    0x9a1941d1, 0xf5739a13, 0xf15989fc, 0x09078684, 0x21c9c1ec, 0x5b7a1937, 0x70805968, 0x45944a7a,
+    0x77b84a67, 0xf31dc14a, 0x7d6a7fb5, 0x7ad32b93, 0x5428bea9, 0xe9915790, 0x4ffc700e, 0x2c8bb67c,
+    0xfc3f7cb5, 0xe6eb6e25, 0x2d2ff088, 0x403e105e, 0x20a86d46, 0x6bbb4d27, 0xd6be0ef8, 0x740e825a,
+    0xf25aa826, 0xd90c6953, 0x376e2962, 0x92729899, 0xb3716d34, 0x419310cf, 0x0593e55d, 0x14014150,
+    0xcaae9887, 0xfb4a7524, 0xf136e766, 0xb168622f, 0x0ffa7de2, 0xb9e59a0c, 0xd7b344eb, 0x2f1dea8c,
+    0x593d53b2, 0x818fc2f4, 0xc52a6984, 0x30391890, 0xf3db05fa, 0x32d4a403, 0x014fa8bf, 0xa443c384,
+    0x27a4d576, 0x6103f314, 0xbae70148, 0x6c255fa4, 0xc1876698, 0x98f77132, 0x73f60036, 0xb0ea039d,
+    0x64967a60, 0xe9b16223, 0x60d0d5bb, 0x8e9da7f0, 0x6f1723de, 0xeff00e2c, 0xf6f1178a, 0xda313d2f,
+    0xc2cf7fcb, 0x308446e2, 0x78f1c25f, 0xb6f865f7, 0x4e35a7ee, 0xe4b3b77e, 0x3b6c430e, 0xa2627b8f,
+    0xd049b5d7, 0x8aeac17b, 0x65e45848, 0x96a26ae6, 0x9b66bb5e, 0xbd9c7f24, 0x8d4bcbfa, 0x928fe0eb,
+    0xfe210691, 0xaf05aca4, 0xa6e845d2, 0x220e183f, 0xf184d6ec, 0xc2b188ef, 0xc3275ce6, 0x126a1d47,
+    0xd5265f03, 0x9e5b793a, 0xd851e9cb, 0x9ca0a08a, 0x45428253, 0xaec887d6, 0x3fa47911, 0x0ec44dc0,
+    0x451d6b23, 0xef1e26cb, 0x789fa7db, 0xbe56e27f, 0x7760f8b4, 0xf8978e8b, 0xc0ffb0e4, 0x51e5265a,
+    0x734e6a32, 0x21ad368c, 0x3487af68, 0x33dbc1a0, 0xa199fa5f, 0x02a26d5e, 0x94b90b76, 0xa312e73d,
+    0x081ee0d9, 0x5c890514, 0x9bd38254, 0x5e9e724d, 0x5aa54e98, 0xf8ea6fcf, 0xf26ee9a5, 0xa38bc348,
+    0x1f74cb93, 0x22729333, 0x58da32b0, 0xc83fada6, 0x681860f7, 0xbabf7b6e, 0x0c723b9a, 0x931bc0ea,
+    0x1112ca9d, 0xe368698a, 0x5ccee18d, 0xd219b2b7, 0xefa77f5d, 0x6cf8a21e, 0x48952d81, 0xf3599add,
+    0x3f0dd141, 0x53f80491, 0xe02b1d8b, 0xe6be9f9c, 0xd057446c, 0xf03002f7, 0x925f709e, 0x28924daf,
+    0xce44991b, 0x2d5c05a1, 0xab487c59, 0xd5266687, 0xcb8938dd, 0x0448cc86, 0x5e46f369, 0x5d270091,
+    0xbceaa722, 0xe108aef9, 0x79a6ddf2, 0x156c5f83, 0x53d7dc32, 0xd0b3f7e6, 0x2bc61067, 0xb2d43b4a,
+    0x270f0555, 0xc3116104, 0x171ec4d2, 0xa6ca084e, 0x349abe81, 0x401398d2, 0x914f267f, 0xf52be2a0,
+    0xf12022ac, 0xa7360550, 0x635f0d04, 0x371bbeca, 0x966b9d28, 0xb423fdef, 0x935d04ee, 0xfe5634eb,
+    0x83e72d03, 0x93cbbe6f, 0x6aacc665, 0x70da2df4, 0x41ca70db, 0x106c77a5, 0x8e823ef5, 0xfe64c127,
+    0xfb701604, 0xe64898e7, 0x54e2d7ac, 0x4a66b241, 0x767a107e, 0x1666e0bd, 0x3cea312a, 0xffcb0b36,
+    0xb4353c55, 0x119a00bb, 0x282e9d87, 0x3dbbfd3c, 0x991ebdc3, 0x4ea71e36, 0x1e3fc936, 0x1e8d7174,
+    0x765dc715, 0x486b5258, 0xd20c3bd7, 0xddfb65c8, 0x8ccef418, 0xf6a98e7b, 0x66bd3817, 0xa0e1cbba,
+    0x2d9a95ed, 0xe1a3cb56, 0x654d96cc, 0xf1c990c4, 0x3d5ae6e6, 0x1e0b856a, 0x03bd79bb, 0xf599b304,
+    0x4b693c89, 0xf950d215, 0x069055ad, 0x1d842b9f, 0xf565da4c, 0x3575e049, 0xbd8bf79e, 0x77d5d5cb,
+    0x3965c651, 0xac4bd270, 0x5cf98dae, 0xdde014da, 0xe1b05a98, 0xabd27c4a, 0xa243943b, 0x05238c6c,
+    0x308ff042, 0xb87700ee, 0x356fb20f, 0xe7d4229f, 0xceb0743d, 0x30cbb0f9, 0x160da835, 0x36f80f57,
+    0x55cf7bbb, 0xd206b8a7, 0x65e55c79, 0xb9db2e0b, 0x4a479c5b, 0x18afed3a, 0xf4d313f9, 0x715e683e,
+    0x65387a5b, 0x7fff384d, 0x4ff8a194, 0xd15941fb, 0xc9b136df, 0x13a3a5e0, 0x06642932, 0xff481df2,
+    0x8bd13466, 0x99fc5b90, 0x40798def, 0x363af28a, 0x6f5b0802, 0xc3f73ef0, 0x98ac4da9, 0x3607dd80,
+    0x9a297340, 0x0da275ff, 0xe1f6dcdf, 0x78a025cb, 0xcb081a33, 0xd94841ea, 0x7dc8399d, 0xe13c7aa5,
+    0x55cf755b, 0xc5679733, 0xb040df83, 0xc1cd79e9, 0xc4f75c84, 0x0debcd11, 0xb65f40e8, 0xf51ed737,
+    0x4900b7db, 0x8fe694da, 0x6540275f, 0x03a0b6ec, 0x60ee8d4c, 0x5e74525c, 0x61e62005, 0xca8939df,
+    0x0b49d46a, 0xde5a0cc2, 0xfe939318, 0x3a4664a6, 0x8b8dbd84, 0x1b8a0f0c, 0x02ac7d46, 0x1d606e1e,
+    0xbd7d2981, 0xa426da23, 0x24520720, 0xf46cd96b, 0xc3973cd7, 0xa039982e, 0x35b3fa91, 0x97bb580a,
+    0x39913159, 0xa702c2de, 0x6a4bdf19, 0x9c36f569, 0x5b64ace1, 0x9631c030, 0x16642484, 0x24d1bb5e,
+    0x21bea930, 0xc9f4f07a, 0x243514ce, 0xc062bdb0, 0x7d21911f, 0x70e3ecb4, 0x9727e84c, 0xdccffdcd,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000003006134505950506531698535163890351\
+                         39504087366260264943450533244356122755214669880763353471793250393988087676928 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf,
+    0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e7, 0x859d0665, 0x0fde9dd5, 0x1f3a3e24, 0xbeab63ac,
+    0x00000000,
+    0x842b276e, 0x14fe09b2, 0x5fc6fded, 0xa9854f98, 0x9a542518, 0x118a1b2c, 0x9991e45e, 0x4078ef98,
+    0x0f39114b, 0x95a8c902, 0xffbc8656, 0x65291b68, 0xb5187196, 0x716a650f, 0x0f0e7ffe, 0x1a827eeb,
+    0xc5e027f5, 0x96b5c2f0, 0xe7eb3a74, 0x3eea8461, 0xe6822d41, 0x4d321a9e, 0x512f1f19, 0x39ac30f0,
+    0x494aad5f, 0x1acb5ea5, 0x1455d284, 0x1da6c7aa, 0x699e9182, 0x4802ed0a, 0x2b8fe062, 0x0d1f6ca4,
+    0x9046b32b, 0x5dd667d8, 0xd7d40cd4, 0x261363d3, 0x78745502, 0x0e9f106e, 0x9d1429e4, 0xf52eaffb,
+    0x90a648a9, 0xff75dd25, 0x2081bad1, 0x484f817e, 0x7db3e010, 0x0eec9b5a, 0x7af984ba, 0x1c9f54a1,
+    0x823bf1a1, 0xc6571861, 0x6b6f40fe, 0x73f38f5e, 0xfda518bb, 0x48ee7a98, 0x428b61ed, 0xd9848a27,
+    0x533ba132, 0x00d3f0d1, 0x9a3b0fe4, 0x20321484, 0x2de6e2f7, 0x7d02479c, 0xcd6a53e4, 0xe080e72d,
+    0xc3ecabbf, 0x6f933c93, 0x07a526fb, 0x2db8d5c0, 0x75e2ca90, 0x2cd1612e, 0xe80be87b, 0x1b63c927,
+    0x23e2681d, 0xd4182f3e, 0x3748b843, 0x14b06233, 0xc1850b84, 0xd7ff76ae, 0xf6b5c052, 0x6259b962,
+    0xbca6f7c3, 0xdb14dd8d, 0x1b4ee1e6, 0xc6217d38, 0x96c50c37, 0x29513c4d, 0xa21e0525, 0xb13179aa,
+    0xe23f70b2, 0x7327f47a, 0x9f0aa122, 0xa58c6bf8, 0x81eb2aa6, 0x677d1cf4, 0x138ae697, 0x11371204,
+    0x25c6f5df, 0xdb193e80, 0x7bb91db9, 0xfd0cb290, 0xd58693aa, 0xd1ff7c9c, 0x795ab01b, 0xac9b287c,
+    0x993b8c81, 0x3f96167a, 0x4e5a98d4, 0x6e8de6e8, 0x1f5da368, 0xadabc61d, 0xa9deb788, 0x15c0a0ac,
+    0x59b53a79, 0x5377f0ae, 0x2e94711d, 0xab9e07b9, 0xde7e538e, 0x233f6e89, 0x3ac97537, 0x72f02d4b,
+    0xc9e64d70, 0x4243c914, 0xec290ef5, 0x4dd70e52, 0x86d9ffb9, 0x41d1f8ed, 0x58c0a7bf, 0xa7df0791,
+    0xfb8b8a4d, 0xd3233d0f, 0x9633604c, 0x873a5c8e, 0xf8f8fbd2, 0x92767632, 0xef93da14, 0x2511b80e,
+    0xff7dca39, 0x8f41e705, 0x78ae3491, 0x30688007, 0x7aee7081, 0xb78cbc42, 0x27ceaef9, 0x687cd619,
+    0x6fe1521f, 0xee465398, 0xdd2f0834, 0x50a94151, 0x1bfce322, 0x9f2e1a2b, 0x563893f0, 0x9a99c907,
+    0x061d8b29, 0x229930a0, 0x70061f68, 0xf2e4d12e, 0x0d43c6dc, 0x5885a053, 0xfbd196c5, 0xc026f2ad,
+    0xeab2929e, 0xfa0aabe0, 0x42849de3, 0x996cdd7b, 0xaa81932b, 0x01db310f, 0x6c419491, 0x8c85b072,
+    0xa26f1239, 0x474cdb4e, 0xf6d24af6, 0xd19ba5a4, 0x16722b45, 0x45988373, 0x6639cc9f, 0x5be73af0,
+    0x4b45599a, 0x4e301c7d, 0xc12fecb3, 0x303eb7ff, 0xc76eb702, 0xf470b3e7, 0xc3948845, 0x2c83110b,
+    0x9185054b, 0x09930321, 0xd58ff52e, 0x35d6f95d, 0x9fde9d75, 0xeed04752, 0x13952b6f, 0xfa98f9c3,
+    0xecfe3c8b, 0x14a12d69, 0xc9a49faf, 0xf9f4bf46, 0xb1efdd06, 0x2cf08713, 0x7a31e769, 0xead8fbfc,
+    0xf6d77acc, 0x73a53433, 0x826e0125, 0x8ba5f254, 0x8cb38e1c, 0x1dd41ae8, 0x5b5dcf49, 0x42acc300,
+    0xed57625f, 0xdcb6db28, 0xb1d2783e, 0xbf34a8d9, 0x94b44250, 0x274cdd22, 0x6fd28531, 0x4fa3891c,
+    0xe566038a, 0x279cf087, 0x16a6a0f0, 0xbc8cdf45, 0x35213abc, 0x05e1b1f1, 0xf7f7402a, 0xde51a549,
+    0xbfdcac25, 0xf8b2a12f, 0x8e8f2f24, 0x4ce74b5c, 0xf9fbc9db, 0x010afa5e, 0xfa6841b5, 0xb17fcc99,
+    0x1422d08f, 0x0de699ee, 0x7b5a7e82, 0x49495649, 0xb6c7b5e3, 0xf7df386f, 0x5f05d7ad, 0x883c53a8,
+    0x8e02662b, 0xa7bf6240, 0x6b82a369, 0xa57f925e, 0x373ac3e2, 0x33210317, 0x1fee5875, 0x5fcadf17,
+    0x89e2b50f, 0xf80f243a, 0xc0ce7cf6, 0x0db1de7c, 0xc202dc77, 0xaa4f57a6, 0x673f7bf9, 0x7d3d83ab,
+    0xd503731f, 0xaf41fc83, 0xb1820cce, 0x88699136, 0xcf921a54, 0x11e7dd82, 0x7a6694ef, 0xa1a178a3,
+    0x21806728, 0x3aa5eb08, 0x803583b2, 0x5858cba4, 0x11df5882, 0xdb668825, 0xd61cd3c6, 0x6e0e5526,
+    0xfaa87ba2, 0xfd4221cd, 0xf367dd7e, 0xb0c27dc6, 0xfff9d62a, 0x150361ed, 0x83296426, 0x4cb1d8ee,
+    0x973177bf, 0x09ffdb33, 0x8b16fe7c, 0x8d7226cf, 0x67e1ae04, 0xbd9a6e67, 0x6594e71a, 0x2aefd5cf,
+    0x7bcc223a, 0x7d37f417, 0x3a74bc92, 0xf10ed220, 0xe5f6fabe, 0x0ac9bd47, 0x0de12ef0, 0xbc773e1e,
+    0x78702ee8, 0x6ddd4dd6, 0x24cf510f, 0x770d9257, 0xd73ae475, 0x0db43e20, 0xc02ee4e7, 0x78962c9c,
+    0x39739668, 0xb6ed26f4, 0x1d7aa2ea, 0x94b3fccb, 0xa2fd38af, 0xaf5b7dc7, 0xacb04274, 0xc9930bd2,
+    0x0faf9cea, 0x9e9ceae1, 0xc59628b3, 0xa7f6de55, 0xf0c79d1f, 0xe2196953, 0x989a3e7e, 0xbc898ef4,
+    0xcf5bd442, 0xdf711f88, 0x3a84889e, 0xa56ad824, 0xf803a8d1, 0xe18ef348, 0xa6a2fb82, 0x5cf9fbef,
+    0xd5af9048, 0xa0e5dd46, 0x7ba672a8, 0x2ffa6b57, 0x81c18718, 0xe1ba20b3, 0xaa131353, 0xe40086fb,
+    0xfa5c16ad, 0x13fbcf5f, 0x6fb7986b, 0x17d4f7fe, 0xa9f3fded, 0xd961e43a, 0xf08636ac, 0x70dfd570,
+    0x930b5342, 0x0df50610, 0xae30cd7f, 0x4286420f, 0xd987f88a, 0xdd217ce1, 0xa4160480, 0xd06e1565,
+    0xc75ef56e, 0x01c398e0, 0x15e13f1c, 0xfacdecd1, 0x58a33b65, 0xf4fc6570, 0x6f9b2e3a, 0x85b13b68,
+    0xe666000b, 0x0d443a60, 0x31a63a7b, 0xa3715e71, 0x3dad4c2b, 0x01b99b17, 0x1ef2d40d, 0x866b5262,
+    0x03329eb0, 0xe8d1308c, 0xd2d4163a, 0x5034dd44, 0x6ee08eb9, 0xb9ab1854, 0x90b9f31c, 0x6a773830,
+    0x838673a3, 0x855e7a1a, 0xe72f5456, 0x2dbbe5ba, 0x482206cd, 0x843ca1c4, 0xbccd7d5b, 0x6aef7124,
+    0x4c660ebb, 0x1851f0c5, 0x3cf7a06e, 0x5101fd3a, 0xcf9f591d, 0x12786da3, 0x542a2cc8, 0x630e4237,
+    0x6c540564, 0x1a2dd7de, 0x28679eff, 0x9401fb3f, 0xaa289902, 0x4bbd97b5, 0xdf9685da, 0xa5b1eb1b,
+    0x7219ef8d, 0x1c31cb69, 0x287c06f5, 0x1dcc41af, 0x6ef21ad1, 0xc55befa9, 0xdc1f2aca, 0x5e8a2a3c,
+    0xcf1a16cf, 0x3e529977, 0xaccf81e5, 0x01a2daf0, 0x40c32286, 0x104a89c8, 0x4591400b, 0xfc6939a2,
+    0x1ad739fd, 0xba2cda79, 0x1cd8d4ec, 0x876fddea, 0xd92f5a40, 0x65ca7114, 0x1762b9d4, 0x10efe786,
+    0xbf0c07f2, 0x83e7aa34, 0x20750c4b, 0x32e540c4, 0x20d644b2, 0xb775f1d5, 0x049cc116, 0x59558aec,
+    0x09a7135d, 0xe499d06c, 0x8c319ef9, 0x66f81392, 0x8db1bf98, 0xb235d184, 0xd8500417, 0x669c4d29,
+    0xfd37eae8, 0x100c1bc2, 0xa7d77c94, 0x88e5399a, 0x115e010e, 0xca5545c2, 0x16ef260c, 0xa4cdf504,
+    0xb39fb247, 0x3fc7a332, 0x706e3035, 0x7ffcb9a1, 0x4470381f, 0xe99cc78e, 0x8403ebc7, 0x54a2ea0c,
+    0x8e7e7cc9, 0x2714795f, 0xf51a4615, 0xaa57d09b, 0x128acf27, 0x125c1c0f, 0xa275346d, 0xd7ff5360,
+    0x711f0b67, 0x09a89a3a, 0x71790081, 0xb1371b35, 0xc3aab7f2, 0x6283be61, 0x419db940, 0xf96cf9a1,
+    0x0be63abe, 0x9ee7a460, 0xfcda01e1, 0x052b9baf, 0xc44eb5b9, 0xa9e4573b, 0x4d7c874b, 0xd790b726,
+    0x6644bca1, 0x789ff54f, 0x830aaf3a, 0xa0d49d76, 0xd2981220, 0xe34a40f6, 0x155cd71e, 0x4f9fcfe6,
+    0x3db921c5, 0xd400b131, 0x7bac9715, 0x67c57bbf, 0x0f624a30, 0x22e10750, 0x705d9919, 0x571419f9,
+    0xfb77b587, 0x5842f704, 0x338541eb, 0x4833996c, 0xbcb00425, 0x731dcf77, 0x3e5453a0, 0x5deb54d2,
+    0x757448cd, 0x9922a280, 0x5932a851, 0x7520435b, 0xaaddf766, 0x8582cd34, 0xf18e6970, 0xbb0c28e9,
+    0xcbeca436, 0x72bcd26a, 0x4af95e01, 0xeca10369, 0xb755acab, 0xd33e7381, 0x9402b03c, 0x43541c7d,
+    0x065d5d11, 0x94859176, 0x195f3d22, 0x3c05d510, 0xd44788c0, 0xb48a53b2, 0x0bc6c968, 0x5ae4564c,
+    0xbb0aba22, 0x5d84df82, 0x3ae1b443, 0x2c3d250f, 0x47bd76a3, 0xd59b0112, 0xf60efcff, 0x9da3c299,
+    0xb7c01137, 0xfda81d64, 0x5bcbaa14, 0x6521d4f9, 0xf1023177, 0x5dcb58fe, 0x13a9ed57, 0xf6b6d3f3,
+    0x6e967905, 0x06a30946, 0xc0e2ab22, 0x23b9f205, 0x130f92ec, 0x6c8c94e2, 0x6dfa0e6c, 0x76f18dad,
+    0x78ea6eca, 0x380edffd, 0x4bdc388f, 0x6d32663c, 0x3417746a, 0xfad35d02, 0x5ab14c93, 0x080b43e6,
+    0x0355bc2f, 0x015b5c36, 0xaca6d011, 0x548d07e8, 0x791e3860, 0x65b2316a, 0x8c49b38a, 0xfe29a800,
+    0x2338ad98, 0xdf4bd2f9, 0x5bb28bad, 0x48921069, 0x6a66f77a, 0xf5e62f50, 0x306a179f, 0x00e92c78,
+    0x766476a0, 0xdb4df840, 0x7a7f3c8c, 0x087e35ac, 0x5b199d7c, 0x02cdac8e, 0x9d9346ef, 0xe5ecab47,
+    0xf5fa96e8, 0xd5b313b0, 0xfa46ba09, 0xa0b7f2e1, 0xa977874c, 0xa1b507fb, 0xf086b895, 0xc5cdb8cf,
+    0x04da2cdd, 0xcc1573e9, 0xca91db6e, 0xe65d6cad, 0x637885a7, 0x084f91f5, 0x42fe76da, 0xb7d61e6e,
+    0x325131f1, 0x310e32b4, 0x70ddf96b, 0xc7bc104b, 0xffa719e9, 0x78622140, 0x32fc771c, 0xb916ffc0,
+    0x26641b85, 0xb80b1b24, 0x41b62c0e, 0xc9f10daa, 0xb745371e, 0x162466f5, 0x705cfab1, 0x0d672c32,
+    0x1840982d, 0xb2b4599a, 0xac8a6436, 0xdc29b48b, 0x6e5348ba, 0x8b35ee66, 0x3e921426, 0x670b63df,
+    0x3a5d6b2a, 0xf76eaa74, 0x1dd358aa, 0x693b9fa0, 0xbed48152, 0x7f8fecbc, 0x5a64474b, 0x64847996,
+    0xe3b8186f, 0xf5a36fd0, 0x6e676832, 0x2ad1f9ff, 0xc239ffd9, 0xccfd4a90, 0xcd440889, 0x513ab7ba,
+    0xb215870a, 0xdc98ef54, 0xd47430db, 0x214d43e4, 0xa824f7c1, 0x8ea46726, 0x1394691f, 0x749f3450,
+    0xbd520982, 0x67f30f85, 0x67cfa7fe, 0x7f042d57, 0x89a519e0, 0x5b88883a, 0x344624b7, 0xcf7106e6,
+    0xb4916339, 0xe5f52bd9, 0xb1346c87, 0x5e94f1d9, 0x4eaae990, 0x70a2ea00, 0xe0f92354, 0x133586ca,
+    0xc91b99ed, 0x20b00267, 0xf6631fb9, 0x1cfc84a5, 0x2e66f309, 0xf9f80e65, 0x3894794b, 0x1b5eed65,
+    0x1acda827, 0xa9c9d5fd, 0x35430297, 0xa7f86bb1, 0xdadccc6e, 0xaee19970, 0xb569b3aa, 0x74407fb8,
+    0x7f21a3c8, 0x708a679c, 0xdc96a6ac, 0x1c753344, 0x10ca66de, 0xdf4acfb1, 0x4f9c6ca0, 0xae7a1f34,
+    0xa23b766d, 0x815be780, 0xa9a2f283, 0xa3e975f9, 0xb4614da7, 0x7878490f, 0xdeaa0a16, 0x7602d4b6,
+    0xd259df1c, 0x920e72b5, 0x90688330, 0x69c52fd6, 0x12f4b958, 0x69da9249, 0x45cf1905, 0xec54f4b1,
+    0x3b8fdf4a, 0xa51dbb4b, 0x0d716c5d, 0x26e936d1, 0xdf4e03cb, 0x317b327a, 0x6496a595, 0xd2b99574,
+    0x2c20ad2b, 0xd4634550, 0x8cc63420, 0xb681c738, 0x0025cb3c, 0x3fb6d762, 0x0e963a09, 0xdf3b483e,
+    0xe953273f, 0xfcadbc71, 0x4ba65e2e, 0x2631b778, 0xd9c4f5f5, 0x281a2476, 0x33cbb341, 0x886d6e99,
+    0x2dd3f4a0, 0xd7f075ab, 0xb0bcb8b8, 0xd7d50353, 0xc540472c, 0x96002aa4, 0x5ae64478, 0x65d30468,
+    0x0eb079fe, 0x3c69f736, 0x57517ccd, 0xb6f350a7, 0x805848a4, 0x52a17d33, 0xfef27099, 0x1d527ce7,
+    0x71b95d6c, 0xa0a0005d, 0x4434d51d, 0x99534de4, 0xba52cd45, 0xb8b52791, 0xf88c6993, 0x687cf9b4,
+    0x363d9891, 0xfb07856e, 0x772f2f35, 0x6de9114c, 0x4fb98ac0, 0x1aead2fa, 0x5de34f99, 0xb0f9722d,
+    0xfc8d6411, 0x61deb79d, 0x111d18d8, 0xe7d8cb28, 0x0cdfbb1b, 0xd8bb0a64, 0xe1308fc5, 0x6fdbd8ea,
+    0x27db6b59, 0x9b35bcce, 0x4c4269af, 0xe6ef2e6b, 0x83673a6c, 0x8d12867c, 0x70bd4146, 0x98a32b96,
+    0x8c4a9a51, 0xfab306ab, 0xf6c3a4d5, 0x982ac772, 0x3e39e615, 0x034715fd, 0x7d55fa09, 0x9662fa7a,
+    0x7a92ef4d, 0xedc95217, 0xfedf62fa, 0xca4aeb6c, 0x261bfa8c, 0x0b84edcc, 0xbe3978e5, 0xe48cb137,
+    0x2cc4055f, 0xd119b13d, 0x6b6610a7, 0x12fa0698, 0xf2079f39, 0x07632722, 0x4de1f4ac, 0x2f4b5d66,
+    0x94624e0c, 0x69f90f69, 0xd533fb9e, 0xa59e9ac9, 0x5c058023, 0xe853e6be, 0x53cfd107, 0x7763571f,
+    0xecb80da0, 0x3b82963f, 0x98a84585, 0xca8ecbeb, 0x47f56f37, 0x33898a07, 0x1c4d1f19, 0xd991bf5e,
+    0xe8de2e11, 0xd5f7cdb8, 0xd1b08b88, 0xda9cab3a, 0x0b1fc30b, 0xafb9fc46, 0xcedf1531, 0x3fe11f48,
+    0x920f031a, 0x25778ed4, 0x869b1f2f, 0x29fcf9c0, 0xb9362bc7, 0xb6fbb76c, 0x2ad5033c, 0x509b7ff9,
+    0x3c1f8dcf, 0x92ecb515, 0x688f074c, 0xb1e13d72, 0x393f4e28, 0xac9333b8, 0x7d64a64e, 0x923d637c,
+    0xbd2147f5, 0x1d26fe19, 0xfe3c416c, 0x8785d598, 0x8282e3b6, 0x16f26b8f, 0xb45faebb, 0xa0bffd9e,
+    0xd63c4fcd, 0x4fd9ec4d, 0x519936c2, 0x49197740, 0xb3293c67, 0xeb1d1db3, 0x73e93e6a, 0xecc22fdf,
+    0x4362590b, 0x0e17a09e, 0xf3ec773a, 0x7b657a8b, 0xb2c89de6, 0x48b0c383, 0xb7e410ab, 0x95df6664,
+    0xeebf8caf, 0xfe176960, 0x853677d8, 0x673d9950, 0x99eace41, 0xad703285, 0xfb10d7ec, 0x377dd829,
+    0xeb0cec67, 0x2c4e7d20, 0x8af5d499, 0x5ce89d8b, 0x5759a62f, 0x32836606, 0x74d898e6, 0xdb32907f,
+    0x161376e6, 0x0985f44d, 0xddda9d5b, 0xeda80395, 0x2a493102, 0x31fe7354, 0xdaf75418, 0x105710a0,
+    0xb1a250ae, 0x73a9478b, 0x0134e966, 0x4c12d3d8, 0x23ab64fd, 0x4187cae4, 0xd93c0002, 0xf776db64,
+    0x184f922c, 0xc17e73fe, 0x9a7bc90e, 0xf9fbfc73, 0xc252fd72, 0x46b83da4, 0x3e77650c, 0x750b51a6,
+    0xe9e3ae57, 0x2d102f27, 0x6395ab49, 0x253d4c5a, 0xde75d956, 0xbda795ba, 0xb37f2772, 0x9a32861e,
+    0xf0cae701, 0xe369216c, 0xb4fd762f, 0xe8d9f842, 0x6f980725, 0x16d380fb, 0xef739577, 0x2fb19c50,
+    0x2737b5ae, 0x4536b829, 0xc962f536, 0x4faec611, 0xfe03b069, 0x5648783d, 0xec67ed91, 0xa9340c73,
+    0xaa613ddd, 0x20eac154, 0xa460bba5, 0xf763e2b1, 0x7b5f0d48, 0x3c52b640, 0xb1aae56e, 0x6c5ac50c,
+    0xc22ddc27, 0x0c6760bf, 0x47437ef8, 0x7a7eaa82, 0x643612bf, 0xf25d37bd, 0x34a055a2, 0x0924a9a5,
+    0x8d46bcb4, 0x5185ed07, 0xee0723d6, 0xd60b041b, 0xb3e73f6a, 0xdc4e2668, 0x3d0a383b, 0xa069eb39,
+    0xe306c2ff, 0xe28b57af, 0xa2296370, 0x14402795, 0x39b37dc6, 0xeb8a78fa, 0x0a5721bc, 0xd8135486,
+    0xa0cf71c0, 0xccc1b216, 0x2ce82113, 0xf1306a05, 0xd8991c24, 0x779d7425, 0xef74e106, 0xbd98058c,
+    0xf0b86d8e, 0xfd20cea7, 0xb3788847, 0xb2a9e24e, 0x20907ee4, 0x33aa80ed, 0x6ca22408, 0x5880b4cb,
+    0x0020ac62, 0x0ab68f43, 0x6afbe9b4, 0x11d8f4c9, 0xf59b16ee, 0xd26d28b1, 0xfde6ebcb, 0x0f91e84c,
+    0x0b6d9b0f, 0x2f8843c5, 0xe761ac08, 0x966c8746, 0x92224fcd, 0xbbbdbba4, 0x6ec4ee2d, 0xd736a49b,
+    0xa95625dc, 0xed7ca67b, 0x26f89af4, 0x847890c6, 0x153ee799, 0xc9456b8d, 0x72d9c135, 0xced3d9c8,
+    0xa780537e, 0x6a5efaa2, 0x8d775e12, 0xa47495ba, 0x5cb6760c, 0x600071ba, 0xf5d7ae9f, 0x7752745d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000001503067252975253265849267581945175\
+                         69752043683130132471725266622178061377607334940381676735896625196994043838464 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7,
+    0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404173, 0xc2ce8332, 0x87ef4eea, 0x8f9d1f12, 0x5f55b1d5,
+    0x00000000,
+    0xb7f17f08, 0x27975d24, 0x99172fb6, 0x9ee74a9f, 0xd2113b3e, 0x3487b613, 0x61e2de9e, 0x9b3bde36,
+    0xf4e6686e, 0x528a9fb7, 0x2781e5ef, 0xed562a37, 0x5cce31e1, 0xa146a11b, 0xafde196d, 0x3fbbdfcb,
+    0xb734ed50, 0x9bdaef5c, 0x495eb0b4, 0xe305de18, 0x8cc04012, 0xc09fe68a, 0xa3abc2dd, 0x2685de64,
+    0xf0431c6c, 0x7490d924, 0xb93775dc, 0x071ef4e9, 0xf1b8f131, 0xb2132891, 0x41c2a4e6, 0xfd806c0e,
+    0x1f0ec179, 0x48789985, 0xf091a2b4, 0x883facf1, 0x5748a764, 0x75db0ed7, 0x62c52094, 0x23236a25,
+    0xf724e7f3, 0xd9dafcb5, 0xb50e89ba, 0x814c9798, 0xb4059229, 0x61258d72, 0x1891226c, 0x8f69f322,
+    0x789847c4, 0x034c152f, 0x9da39df6, 0x7aef1533, 0xdcd717ab, 0x83bfd759, 0x26fde440, 0x5c4d768f,
+    0x06d984eb, 0x4ef566d6, 0xa554ff21, 0x0bd1707f, 0xf3ed90c1, 0x8e41672c, 0x90709531, 0x86484592,
+    0xdc25b1ef, 0x09fdc11d, 0xf77bbd5a, 0xc382aa59, 0x93347cb0, 0xc4992758, 0xfcc1cd09, 0x81f6e0b5,
+    0x2816b2b5, 0xdc3e4a23, 0xd18dc111, 0x54d72b7a, 0x3937000a, 0xe0790a41, 0x10a27fed, 0x78e522eb,
+    0x26df60c4, 0x9d46b473, 0xdd2d8279, 0xb8d4fb15, 0x903a5cf9, 0xe8f36cb0, 0x43985b73, 0x406b1104,
+    0x957cdd9b, 0xaa0bb7ff, 0xa7f86203, 0xb3c4d0fa, 0x9f266b6e, 0xe31b6391, 0x648409b5, 0x261ce051,
+    0xf4cde0df, 0x27826035, 0x76d0b7cf, 0x5a5d886b, 0x1c6df877, 0x6e526042, 0x7bfb77bc, 0x0b893c21,
+    0x8788c30d, 0x8fa1500f, 0xb2e67d3b, 0x906bcd1c, 0xe1f468e8, 0x29114a67, 0x72128c18, 0x7fd2ef7d,
+    0x3dd9f7a6, 0xd87fbc30, 0x563ad1cb, 0xc69c14ad, 0x20c783c3, 0xe07d9883, 0x854d37c9, 0x1a0751b0,
+    0xf3dfd8c5, 0xf6a2f311, 0x64bca995, 0xae43a07d, 0x481f0e46, 0x6a65383b, 0x8bad9095, 0xd14dc740,
+    0x14512d83, 0x01ee5dc7, 0xca955f46, 0xd2b0876e, 0x69739441, 0xce748a95, 0x00de00f7, 0x59ee541b,
+    0x0aa44a70, 0x77008cbf, 0x81a02a8b, 0x09f6521c, 0x2636078a, 0xe85c61e8, 0x86edcf32, 0x7e039d5f,
+    0xcab3101e, 0x79942cd0, 0x20254cca, 0x3c989630, 0xc44e30de, 0x55280a36, 0x564160aa, 0x66c4934f,
+    0x18e711e9, 0xd2898622, 0x74008b48, 0x8ee50eb4, 0x9cd9aa73, 0x61e12399, 0xb1568bac, 0xbfd1eb69,
+    0xa7bc0422, 0xbfd9e82b, 0x5a916a2a, 0xeaf7e557, 0x0c83529f, 0xed72a88d, 0x518dd587, 0x81f0f714,
+    0x800c65e0, 0x2e54b141, 0xffcae2f4, 0xe3a73e1c, 0x167d847a, 0x765fb7ca, 0x350024fa, 0x014d7753,
+    0x3b076098, 0xd7b601ec, 0x844c0af2, 0x29ee51d1, 0x02147a04, 0xbc29253f, 0x8f5d4894, 0xb7c2ac94,
+    0x4070fbb5, 0xd034368c, 0x0c1e9dce, 0x2d6d77e9, 0x4bb1f954, 0x8b1dd8f5, 0xbe88ac0d, 0x323fa94c,
+    0x7d752e1b, 0xff86f344, 0x225960f2, 0x496f9e20, 0xafe74dc6, 0x4656853b, 0x224a2bde, 0x44e139c8,
+    0x582438d3, 0xbb0d2d37, 0x76114f99, 0x75d6ba5e, 0xbc64869b, 0xaaaad28a, 0xd536651e, 0x9b037db6,
+    0x61323934, 0xae5b8fa8, 0x9c83ebc6, 0x0ff0fd57, 0xeab9cc2b, 0x9beb3dd6, 0x6ed5b1f5, 0xb5c59ad6,
+    0xcc08527f, 0xdefb842d, 0x0f3571a6, 0x1ae376db, 0xfab712b2, 0x29a6e765, 0xa75cecd5, 0x9e6cacc0,
+    0xd924ad2b, 0xd3eaf063, 0x9fdf10bb, 0xb5f999ec, 0xa4f185a0, 0x782567aa, 0x21f88432, 0x501f5b73,
+    0x78fe0887, 0xcbfc0d52, 0xb4ea2cb4, 0x231eb374, 0x346fd66e, 0x0a3e2d89, 0x65b75f11, 0x5def75d2,
+    0x9cb80588, 0xa1192bb8, 0x47e705cc, 0x2b72b0ab, 0x72b955e4, 0x7d88be62, 0x8b88fda5, 0x475636d2,
+    0x360b03cb, 0x1e9b4998, 0x8eb499b2, 0xa1355d5d, 0xf40a992a, 0x22e8e168, 0xe1b23bea, 0xf03d5fdb,
+    0x15655d6d, 0x92df4152, 0x8315fb6e, 0x6a2f1016, 0xa1433bbb, 0xbdb2726b, 0x0c01ed0c, 0x11c89c49,
+    0xd7f752bf, 0x1506b1c4, 0xdec33e59, 0xdba2ce5a, 0xa93b1648, 0xd104a883, 0x1688c3a4, 0x7679ee9f,
+    0x64dc86bf, 0xfa398583, 0xe2a4bd5f, 0x5ef353ad, 0xb99a720a, 0x881c6eef, 0x0ad8cfa4, 0x35c4047d,
+    0xe0c944d1, 0x917ff6f3, 0x52dbad98, 0x01286015, 0x13bff176, 0x1bee1073, 0xea7f4390, 0x255876ab,
+    0xb3bdce23, 0x35eb98a9, 0x994ed5a1, 0x34922e32, 0xd900dbc0, 0x64f324a4, 0x000c30cd, 0x225cc57d,
+    0x2d80a400, 0x0136bb3e, 0x1230da9f, 0xe5975223, 0x2a92b067, 0xb348483b, 0xc68e2b75, 0x050e32b6,
+    0xd854e3c3, 0x768b74fe, 0xcfbb0f00, 0xe655dbb3, 0xf82f2e76, 0x74c58c47, 0x100ec184, 0x1d361888,
+    0xbd0b174d, 0x364c40cb, 0x32161fad, 0x68c805eb, 0x6dd9da19, 0x25d176dc, 0xc6e7a3d5, 0x4daad6a7,
+    0x52f516a4, 0x2dff730f, 0xa863714a, 0xb87c3fa6, 0x5c687412, 0x12cecc7b, 0x0e358b57, 0xbc9f0a50,
+    0xf8f74e37, 0x567d6dfb, 0xe0fb0c93, 0x82ec8dc3, 0x814fba22, 0xe208c2b2, 0x645cb63e, 0x67ccf7a1,
+    0xc87d52e7, 0xc8f2de01, 0x6e10c4ca, 0xfe016e14, 0xfdb1499f, 0xa6758e60, 0x339ca39c, 0xe836c3ec,
+    0x9f37f4d4, 0x2402ef6d, 0x1129904a, 0xc1cc01a0, 0xb3fd23b1, 0xcae18da7, 0xa1cefb6a, 0x72502ce2,
+    0x59d6ec04, 0xdf27c01f, 0xa752830d, 0x99cd8cde, 0x0aac0807, 0xb8465174, 0x8dda440f, 0x06f28f52,
+    0x9f6ca4f7, 0x8f5dfaa1, 0x2beebe4f, 0x907a9c26, 0x9c268a39, 0x4aadbc62, 0x5bd34a7e, 0x5cda6af6,
+    0xe8cc304e, 0xd89b6b5a, 0xea280be6, 0xfb36cc38, 0x9b7e9fa4, 0x3ca5e83b, 0x29add0a5, 0xe8610ebf,
+    0x34b52e1d, 0x92ffa259, 0xd8d9884b, 0x9cd02221, 0x0481e143, 0xd27fd9e1, 0x23a9908e, 0xa40739d5,
+    0x0799f7cf, 0x097f7d87, 0x84011163, 0xed50235a, 0xc935df8f, 0xa818b1b9, 0x4cc6adb1, 0x1ea1fea5,
+    0xd44e7135, 0x72e059ac, 0xe59ff709, 0xda4b4033, 0x02da57ae, 0xb56a36df, 0x8783b709, 0xb825d5e4,
+    0x63cac086, 0x96056858, 0x1c9357ab, 0x78801696, 0x45ccef07, 0x34a99c72, 0x7aa23209, 0x5e619a66,
+    0x3d0e94da, 0x192cb42f, 0x083ec2bc, 0xe4241aee, 0x693e030a, 0x24b07707, 0x453d709f, 0x58e3fd0a,
+    0x2d4da3c9, 0x641dc6f3, 0x885718d3, 0xfb50bb00, 0xbe04e3f4, 0x52e5f865, 0x6c9bb492, 0x5c67f9da,
+    0xcaf9a5db, 0x599cd239, 0x077389f7, 0x9a66fb4a, 0x77d2c313, 0x35ed383f, 0x9f4acb64, 0xaae981cf,
+    0xd0e67ab1, 0xa536713c, 0x49a6fdf7, 0x5f741590, 0x31c05629, 0x99c2c549, 0x03f16960, 0x90310108,
+    0x180a9d94, 0xbc41d6bc, 0x56746389, 0x013f4656, 0x8632338b, 0x1f85bdb8, 0xf37ef440, 0x52e1f0f2,
+    0x105f4eae, 0x81743a07, 0x5510f965, 0xecf2397f, 0xa1249489, 0xf49975c6, 0x1fa2d8e1, 0xb8d33901,
+    0x398bec91, 0xf4cf1c5b, 0xa47e5cec, 0x5ab60bc2, 0xea293579, 0x0186c305, 0xc8a7249d, 0x976bcaa5,
+    0x4713d7d3, 0x79ef75d2, 0x2cfaba0a, 0xe54062fa, 0x89baa31b, 0xa73b4332, 0x57aa0c25, 0xf74a0257,
+    0xa57b7f29, 0xc29e1c58, 0x218efeaa, 0x6b926cc9, 0xde419dd4, 0xf162ebe4, 0x1f3ad54b, 0x5e53de6f,
+    0xd6fdca63, 0x6de1983f, 0xf4e89082, 0x7f94d53b, 0x632b8947, 0xebc31203, 0x1984d079, 0x86dba441,
+    0xf1a701fa, 0xd37fdef1, 0x171f08cf, 0x12e5d6c2, 0x4836fb83, 0x2930f503, 0xc2f93c20, 0x5bcf89bb,
+    0x346df864, 0xa090aa34, 0xa56cbb61, 0xf15a5498, 0x112d98e5, 0x73f4b122, 0xbb47a1d2, 0xd5b81559,
+    0x3a13544e, 0xe195dafa, 0x9eae0c35, 0x098ff4e2, 0xb0e43262, 0x475e0d4e, 0xb09df9bc, 0x5f04a590,
+    0xc3df2c0e, 0x02d3df6b, 0x09376be7, 0xccdd06cb, 0xd0dfadd0, 0xd70f4294, 0x147f264a, 0xb7e40770,
+    0x28b42a74, 0x40ef2654, 0x9e86922a, 0x264ee153, 0x4c16e236, 0x0dcc1567, 0x26e5ceb1, 0x4cfbfc30,
+    0x44c4a4a2, 0x7a95a939, 0x23a3e8f8, 0xe8cda77e, 0xec1d1119, 0x30229b4d, 0x828fb84b, 0x3dd9f53c,
+    0x01ccc16a, 0x01ff8d18, 0xde0600f6, 0x7b507d87, 0xa4551762, 0xd3ba1679, 0x136374e0, 0x691ff6cc,
+    0x806b9836, 0x20dfc478, 0xc95db193, 0x855ff91c, 0x4e9978cb, 0x03e7837b, 0xdc1a442e, 0x9b55cccb,
+    0x12611fe5, 0xc3cec8de, 0xdc82a095, 0x1ee44c49, 0xcf2a39ef, 0xfb74c140, 0xfb780ffb, 0xc9f5b1e3,
+    0xfe028551, 0x0c4dd620, 0x009afb7f, 0x31fa27b8, 0x6ac27c04, 0x012abe49, 0x223f51e5, 0xd5f7d212,
+    0xf9381930, 0xf4f0b328, 0xe83aaef5, 0xcf7fd509, 0x46eef03a, 0x14d43b4a, 0xea02ff89, 0x5fbb1b4c,
+    0x970c556e, 0xb1ef55d1, 0x2a0496df, 0xac2d212a, 0x27619bfb, 0xb1ed9581, 0x6eb4a331, 0xee451399,
+    0x9c45c7af, 0xe7e06b8d, 0x40fc9a43, 0xd4b1e81e, 0x018b31d2, 0x4c8a39fe, 0xcefcb7a5, 0x4b42db67,
+    0x7f0335d3, 0x5993cb55, 0x986f5f7c, 0xd5a0276d, 0x44a14a60, 0x44251814, 0x4f56bedc, 0xbe6143c6,
+    0xb0c01c0f, 0xba629fde, 0x6ebd2e18, 0x33cdbcd7, 0x3487ad3a, 0xe6a3214a, 0x49543d04, 0x731f992e,
+    0x34e90a90, 0x1d111aa9, 0xc819a5b4, 0x8235813a, 0xfead1457, 0x1f55ca2b, 0x5d06778c, 0x4a3af382,
+    0x83b4dd7b, 0x3daa0d8a, 0x996849e0, 0xc70cb34c, 0xc7c24f16, 0xc4cdd51a, 0x8b379350, 0xd8fe77d3,
+    0x2854ed20, 0xca684cbd, 0x3d3f9e32, 0x497078a3, 0x12f49c50, 0x23883471, 0xc652a888, 0x4d40b750,
+    0x803a1ab5, 0x0effbae7, 0x5aa5e511, 0x73785701, 0xf8c319c1, 0xce8d5174, 0xbb7d083f, 0xee1fbbb5,
+    0xb4115e91, 0x4b60e224, 0x10faf6b1, 0xc4f4041b, 0x5a94cf93, 0x493f3bd9, 0xfbaac40c, 0x9cd70ce8,
+    0x1fc2709f, 0x5fa1e87d, 0xc19cb2a6, 0x02b72603, 0xa010f47d, 0x57e6e967, 0x1b6af949, 0xa8a8d881,
+    0x264d99b9, 0xbe12ea57, 0x92a9c5e2, 0x515618fb, 0x0403ee60, 0x5ea4a28f, 0xdcaa8557, 0x4afbbd5b,
+    0x54b07c79, 0x889d373f, 0x7153e70b, 0xc0935725, 0x92dd91de, 0x50332186, 0x8ce57ce5, 0xc574e005,
+    0xa6a928ea, 0x550122a3, 0x30406e03, 0x3752ff82, 0x19c614de, 0xa656f0fc, 0x6d161fb4, 0x641c50c8,
+    0x88b9aa2b, 0xf58e1620, 0xfe5d78e2, 0x093ba72d, 0x38417d37, 0x0727e1e5, 0xe0f8b353, 0xfa24b26c,
+    0x498467ee, 0xbd7af56b, 0x786cf769, 0x08642649, 0x1a9d3dee, 0x2499deb0, 0xb0688e3d, 0x0d30413a,
+    0x8214c687, 0xa1308118, 0xd60ab7d7, 0x035426e3, 0xf3b6fdea, 0x7d599fc0, 0xbb0b147c, 0x4d8c84df,
+    0xd3b96531, 0x181ba64a, 0xdde1516e, 0x56767cd6, 0x5b37ae57, 0xa01230d4, 0x7f484fb6, 0x36355c41,
+    0x5a21cd6e, 0x8910a4d9, 0xd280869e, 0x0426299c, 0x233f334c, 0x2e5051e6, 0x1ce01cfa, 0x1ab34e8b,
+    0x7b13acdb, 0x210ed906, 0x950aca06, 0x9af3f20c, 0xb404828c, 0xdb0747eb, 0x91827256, 0x826d70c7,
+    0x5470f2b9, 0x804bb867, 0x24399a2c, 0x6832b413, 0x6323e40b, 0xe8c607fb, 0x951e675b, 0xc67c30ab,
+    0xe458f057, 0x4e49618d, 0x07668895, 0xe4415727, 0xb672d2f1, 0x22581047, 0xa800dc59, 0x96485508,
+    0xc77b4e90, 0x304e5414, 0x0e28e2ba, 0xf7cec05f, 0xfa50b57a, 0x86322d75, 0x11f3e2b5, 0xc036f169,
+    0x7f04a0cf, 0x9ff9c161, 0xd037fc01, 0xa23fab13, 0x7328ce84, 0xe4945e1d, 0xe5b493af, 0x022fca30,
+    0xb849a465, 0xc0a6c967, 0x1e6db210, 0x2fc443d5, 0xa3e700dc, 0xe3b6f247, 0xe66ecd1c, 0x4aa05f2f,
+    0xc3b6144b, 0x97886c3f, 0x765a774e, 0x771a1472, 0xd02f33d1, 0x2f011180, 0x275b7008, 0xa6eac12e,
+    0x81a78c2c, 0x2b5a88cc, 0xac0c80fb, 0xc80e90aa, 0xdbf341ff, 0x0ebd7528, 0x2c56c81b, 0x5ac66525,
+    0xe6d21000, 0x2108627a, 0x5b12d883, 0x96cb224e, 0x6f73e01e, 0x6c21051f, 0x4b5827e8, 0x776a226b,
+    0xc57fa8fa, 0xba7aff67, 0x8e6bca84, 0x1f54a325, 0x7c98c984, 0xe876ca28, 0x881d5cd9, 0xa45c4723,
+    0x43a3c2b0, 0x7efb6a01, 0xa3add327, 0x14b63ab1, 0x57fa1bf6, 0x9fa75d22, 0x65e56003, 0xf7fe3193,
+    0x12f11a9b, 0x64e9595d, 0x77fdd2be, 0xd4a7a088, 0x728b500c, 0xd2a389df, 0x07ca3c18, 0x3c6c85d2,
+    0x351e49f9, 0xbeab3e01, 0x5079997d, 0x52c0a130, 0xe7b10e65, 0x9191ca9b, 0x8b93e7e0, 0x07614dab,
+    0xf69cbcef, 0xb5711860, 0x79d0214b, 0x71deb894, 0x8cff4dff, 0x5c829f63, 0x81b85403, 0x7da272a9,
+    0xc3c13715, 0x915e00b4, 0x4ed4a571, 0x79fcbd90, 0x3ffb7508, 0x9dcabc06, 0xb9c90735, 0x8370177e,
+    0x11b88a0b, 0x227838a4, 0xc7c7c0d2, 0x58412f70, 0x4b3036ee, 0x758ad43a, 0x151be86e, 0x9f43afc7,
+    0x08de5b58, 0xbc0ac234, 0xe0a28c12, 0x45285011, 0x6a14567d, 0x7015436a, 0xb5827de6, 0xfc6cd6f3,
+    0x08f0e263, 0xec5b1e51, 0x822b6a87, 0xe6aa561e, 0x9dfe3368, 0xf957a3ba, 0x5e63dd30, 0x8078c9ef,
+    0xc3ad0554, 0xe574d21f, 0xdbe41e92, 0x9bba6b0e, 0x5d74e434, 0x043000de, 0x7f83eaf5, 0xab9d1bc1,
+    0x480ff3fa, 0x87c1b79e, 0xfaae3856, 0x6614b79c, 0xfd02410c, 0x9a3de321, 0xe9980827, 0x70955d47,
+    0x367c096a, 0x48be8c62, 0xe8ab300f, 0x487535aa, 0x4426f307, 0x40f9cf25, 0xeed7ef77, 0xf3518299,
+    0x38f55b6f, 0x955dabe0, 0xe7d35f57, 0xfb87a6e4, 0x9c599c08, 0x423833fc, 0x218abfab, 0xb20545f9,
+    0x5364b66b, 0x82f8ece5, 0xb9485985, 0xe089a523, 0xa82908ca, 0x991ed942, 0x3e28ae3a, 0xbe2ff1f7,
+    0x5cd410b8, 0xe5a1738c, 0x9686cf57, 0xef810013, 0x5d996844, 0x2c3b807f, 0x7926c2ed, 0xe1498e84,
+    0x58c28d82, 0x24c45e2f, 0x6474f0c4, 0x4c9544fd, 0xad78ad44, 0x5bfa7d06, 0x94adb109, 0x387232e2,
+    0x96c49504, 0x5adff74e, 0x592a5110, 0xd97bffe0, 0x282921a6, 0x5da779a0, 0x190bbc65, 0x1e5054b2,
+    0x16198ecb, 0x7ef9038b, 0x3b49ab58, 0xb051d54b, 0xfada5952, 0xd707fec7, 0x9e04aa69, 0x70bcf089,
+    0x9e103abb, 0x97aab7e8, 0xdf7c68e2, 0x25070f3b, 0x89cefb86, 0x161d3730, 0x39059af2, 0x2b9f364f,
+    0x73145b44, 0x8c2a8eb0, 0xe37ce035, 0xb079496e, 0x33b58440, 0x4717cb24, 0x87f46079, 0x75f7e4b8,
+    0x9e710542, 0x2824708f, 0xb2dd5198, 0x33d7562e, 0xbe2cd0ce, 0x68c3137d, 0xe482dcd8, 0xd18898a7,
+    0xf3e91f2b, 0x738ecc8f, 0x55a36222, 0xfe4f56e0, 0xf3a833fa, 0xa3f36d17, 0xc3a6b53a, 0x13d67591,
+    0xd0e8377a, 0x266d06ef, 0x7b056c83, 0x610957fe, 0xd3a49d5a, 0x2e111b1d, 0x7c9f8b93, 0x59c77970,
+    0x2d9c2b9e, 0x17c798ce, 0xd3ff0256, 0x9f319634, 0xca4ff956, 0xb0e6c5cc, 0x7291a2dc, 0x1a8e4e40,
+    0xdc1c1945, 0x1f51b26f, 0x5a5732ce, 0x303b7f9b, 0x830cebe1, 0x96330e1f, 0x27a5d23e, 0xd773cad5,
+    0x2f31b004, 0xdabd6463, 0x3fdd7349, 0x42c46c6c, 0x01b0d5d2, 0xd29911e7, 0xd7caafeb, 0xc226820d,
+    0xd0433b5d, 0xf0e3014f, 0x9dfcc28b, 0x947bf990, 0x943869c4, 0x281b7190, 0x4927c984, 0x277de2d0,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000751533626487626632924633790972587\
+                         84876021841565066235862633311089030688803667470190838367948312598497021919232 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b,
+    0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b9, 0xe1674199, 0x43f7a775, 0x47ce8f89, 0x2faad8ea,
+    0x00000000,
+    0x99716723, 0x0620afae, 0x341fa241, 0x179b891c, 0x0587982f, 0x66840726, 0x1154ad60, 0x3f1f5c50,
+    0xfcb9f7a2, 0x7e77b488, 0x1a9c0a2f, 0x2e55f984, 0xf68672c6, 0x2e66a86b, 0xefe4b8a9, 0xa96d1783,
+    0xfd78fcbb, 0xec92aa1c, 0x53de257b, 0x6d9159af, 0xa7bc0a03, 0x5096ea94, 0x6884cad9, 0xcfed04c5,
+    0x0fc7f422, 0x509cc306, 0x5f383d3a, 0xd0d04aee, 0xbdd41910, 0xa5412167, 0x7eb83f8f, 0xce874fd9,
+    0x15ce70a8, 0x99ec3610, 0x4dccc261, 0x31f5af19, 0x6efe3c96, 0x0b3ccbc5, 0xe3db677d, 0x71c73dbb,
+    0x475ab988, 0x5c615da0, 0xf3c0bbd0, 0xb9e0aa6c, 0xf43e4726, 0xbd2ccb74, 0x85d4617a, 0x0cf135c6,
+    0x4c2396e9, 0x69db31cc, 0x7d9b5ade, 0xe4d26999, 0x097a306b, 0xe7dce781, 0x37f52831, 0xc26c9c0e,
+    0x775ca2cf, 0xaf74c4cb, 0x342db012, 0x1264d571, 0x21710123, 0xbfac141a, 0x2f55493d, 0x6743b36a,
+    0x2ff4dd6d, 0xe4810102, 0x920f4571, 0x849b3682, 0x1a228b96, 0x74765a81, 0xbe4a6f17, 0x3daefc7a,
+    0x2e91e06f, 0x45a50862, 0xa73e2acb, 0x5a4d3da8, 0x52e68c32, 0x3b2a1ffe, 0x44e22abc, 0x3880458f,
+    0x7203028a, 0x838216f8, 0xbf758350, 0xd020b5e8, 0xaa39180d, 0xf75c4a03, 0xde4961d8, 0x75f6466c,
+    0x12b5c9b5, 0x5d13c3a0, 0x7f04d819, 0xbc93965c, 0xdc8ca854, 0x03882084, 0x3fa921e2, 0x090a2255,
+    0xe05ef0ef, 0x16d19c01, 0x40abd284, 0x80051bee, 0x05d98108, 0x4e580b17, 0x0bd83c28, 0xff564bf0,
+    0x1c463f01, 0x1c78bb46, 0x9acd8b62, 0x6256fb9e, 0xd200d7f0, 0xd542d074, 0x755c3aae, 0x5dc299be,
+    0xd4ec11fa, 0x1ef23191, 0x5ef4dd45, 0x8252a3d3, 0x6a6a1edf, 0xa831d26d, 0x8c145dfe, 0xca3af593,
+    0xbd8f6f50, 0xba9835ca, 0x5da4b339, 0x5486a5b8, 0x78d35473, 0x209975b4, 0x7e164564, 0x9d15c518,
+    0x42b4c75b, 0x9622d27c, 0x5ae940d2, 0xe5fd04fe, 0x0a0cd793, 0xcb1f24a5, 0xedd2dbea, 0xff7f53d7,
+    0x1cc388d3, 0x12eb27e8, 0x3549a173, 0x0d5961aa, 0xe426a811, 0xfb8fba8f, 0x552ece09, 0x8d5438a8,
+    0xd3340b2e, 0x754cfd0f, 0x644cb859, 0xf4b01b27, 0x9f6da759, 0x6814d79e, 0x29382c14, 0xbc9cb56d,
+    0xe9700012, 0xa988b214, 0x0aed88d5, 0x3381e757, 0x95c6d88e, 0x5c224388, 0x9d14b7b2, 0x46cffbb9,
+    0x032c2a43, 0x946a3d87, 0x1f36658a, 0x7763c578, 0xc0811cb1, 0x88a87d5e, 0x4826154f, 0xc9738df5,
+    0x055309b0, 0xd79f8cd8, 0x35098fcf, 0x32ce796f, 0x59cbb3e4, 0xa5e3a0cb, 0x999930fc, 0x27c3d8c2,
+    0x3d8f0ae9, 0x9c49b3f6, 0x7d7fb663, 0x79989bc1, 0xe9c17f9f, 0x5ce394de, 0xac852664, 0xae951380,
+    0xd2786125, 0x1e28b033, 0xef406e7e, 0x4e67073f, 0xc52066e5, 0xf4492b4e, 0xb7592bb0, 0xcb9e9da0,
+    0x76e248f7, 0xcb2a24f6, 0x34509448, 0x22b8e6c1, 0x288f92aa, 0x2b2f44d3, 0x06666ffb, 0xc8446080,
+    0x2acf0c4f, 0xa9a578ca, 0xdd2f53db, 0x21fb39af, 0x4db2e721, 0x0e3e61cf, 0xd16b6962, 0xbd15ab7a,
+    0x862aadd4, 0x197a7a74, 0x72026410, 0x4eb54b66, 0xd9d6b71b, 0x48387ef3, 0x88e1ddb5, 0x015fca1f,
+    0xcb894f73, 0x73d4c7e6, 0x8c6aaf65, 0x5624585d, 0xdff68b8f, 0xfdb0b0d9, 0xa3fb285e, 0xa3aff282,
+    0x9221c9ed, 0xd265d55c, 0xe16350d0, 0x7cc530f9, 0x93d2b02a, 0x9de83172, 0x7be20c43, 0xab944be8,
+    0x9cfca791, 0x4a3d8302, 0x195add8b, 0x84e8703f, 0xda649055, 0x00776369, 0xb2d26187, 0xe3a7e368,
+    0x72c96521, 0xaf99bfd2, 0x5475d5cb, 0x39fc3dd6, 0x9d867179, 0xa786a866, 0xc8ba73f8, 0xc61ca1b3,
+    0x20b4e846, 0xa7e284f9, 0x7414ae1d, 0xa103033e, 0x57e3e298, 0xf431251b, 0xa53b31bd, 0x3ba5ae81,
+    0xc549b784, 0xd3c179c3, 0x01725a34, 0x0fcab401, 0xebdcfb8b, 0xd19bc959, 0x3ac9b69f, 0xadbde72e,
+    0x3c91f9d0, 0x803d24e7, 0xe6a87f6d, 0x4d4e93d8, 0x667cdfa3, 0xc6d645dd, 0xf7ee1f7d, 0xd0ef050e,
+    0x69877a1f, 0x1a9c57c8, 0x4069a96c, 0x909aa9bf, 0xafc92eda, 0xeb8fbe82, 0x7c10ec1b, 0x513af8e1,
+    0x438a5693, 0x4b10206d, 0x8035b460, 0x18e89064, 0xff25253f, 0xf5082ed8, 0x93e369a3, 0x96247506,
+    0xb26aa7c8, 0x61c38e4f, 0xf8e4edb3, 0x8372f270, 0xc54d8d6e, 0xedc1fe19, 0x00bf691f, 0xbd073323,
+    0xb1cff49d, 0xf1662fd8, 0x54d10ce7, 0xaea73dc0, 0x8eafe29d, 0x702834a1, 0xe107b108, 0x0abfd592,
+    0xcbb90e4e, 0x0e4824af, 0xd095ed1c, 0x3c88cda2, 0x3ebe2d32, 0x0c445749, 0x5192058a, 0xa8e35ecd,
+    0xbf692a32, 0xb847b0a0, 0x8fc18d93, 0x532decf1, 0x6e823cfb, 0x29caa61c, 0x3df52b24, 0xb6468f7e,
+    0x591a9fc3, 0xaa6093df, 0x5ab19817, 0xc0b56113, 0xc6ca1ad3, 0xd44b1091, 0xca7bfa2a, 0x09194dac,
+    0x2a153d5f, 0x53bfb099, 0xcc6e4808, 0xf800d189, 0x7fe1e538, 0x52a410e1, 0x46a36c46, 0x58524e07,
+    0x5874412d, 0x759ecce2, 0xa384ddd8, 0x8aed0889, 0x2474962b, 0xaba8faad, 0xe9dc1119, 0xefdf98b2,
+    0xece8cf6b, 0x3f599b97, 0x052a680c, 0xe3eea643, 0x1f5c9da8, 0xb39c4e71, 0xe7dd0594, 0xf34a2e63,
+    0xf3456b4e, 0x1414b3e1, 0x05fa4273, 0x224b61d7, 0xc5b97a2f, 0x1f69827d, 0x8c24093c, 0xde2c7916,
+    0x170a3ba3, 0xa16821a5, 0x01cb72cb, 0x71d4e262, 0x68cd5232, 0xb848e3c2, 0x14b3b02c, 0x64611425,
+    0x8936bd07, 0x3e2934f4, 0x4350370e, 0x6100184e, 0x31a25b38, 0x32e4478a, 0xad55187f, 0x0c326747,
+    0x3fe3c693, 0xbaef20ae, 0xd86e2f92, 0x6c212bea, 0x6e825f95, 0x15ee66d4, 0x2f649a54, 0xa54aff07,
+    0xbed5f1ca, 0x3e743359, 0xc8c8da1a, 0x67d7b326, 0x76f3d1ef, 0xa2c4ce55, 0x1278245b, 0x1766e43c,
+    0x9d2c7ac3, 0x29bdb7d5, 0xc3eb6f2a, 0x9f67a5db, 0x4cbcd0a7, 0xaf70feb4, 0x11307392, 0xa629b885,
+    0x2cbd42c4, 0x41633b13, 0xe0cd370c, 0x9530a80d, 0xa9ab6dd7, 0x34b1eb71, 0x278be1c0, 0xac5fb87d,
+    0xb921a152, 0x4ff52a1d, 0x266d46ab, 0x37a31734, 0x7862c803, 0x7b3091ab, 0x4de25549, 0x605dc261,
+    0x30b0612a, 0x98da0c5e, 0x60788af9, 0x6887de6d, 0x7f34b151, 0x0399a75b, 0x144cd4ca, 0x3dccb280,
+    0xfce905e1, 0x003bc11e, 0x6926b111, 0xde5854cc, 0x7c77e4b3, 0x59a44ef3, 0x15261e1c, 0x7d7f2a88,
+    0x8fddd5c5, 0x6b959c68, 0xbc3583c2, 0xe6cea6bd, 0xae1d2e96, 0xaa646259, 0xc236b8ca, 0xe065175e,
+    0xaa551494, 0xb62ec65c, 0x1b1760ec, 0x0ecdd8d4, 0x6bdb1801, 0x88fdc3bf, 0x855cefcc, 0x849d0321,
+    0x1a61a13c, 0x87a25374, 0xfed0f174, 0xa954cf9b, 0xc983b828, 0x613d0c0f, 0xad95d455, 0x1ff9b186,
+    0x559dd58d, 0xaadeb391, 0xb8da67f2, 0x374e8c5e, 0xeee119a6, 0x5d97f77e, 0xeec5a1ec, 0x31230efe,
+    0x3ffd3ece, 0x9b40b855, 0x1d25a7e9, 0xa6898b2a, 0x1e653c8c, 0x5d1178ab, 0x87a5c8e4, 0xc0dbb5a5,
+    0x80215081, 0x30e0847b, 0x113698e5, 0xc27a1608, 0x48ebf801, 0xf0115f9e, 0xde114734, 0xb9cb851d,
+    0xa098ac12, 0xdbb605fd, 0x16934d01, 0x52ba26a5, 0xf04cd932, 0x6e814714, 0xee7d1aab, 0xa36c8b96,
+    0x28d1d164, 0xbe9772e1, 0x7199b517, 0xf74db607, 0x7471ef97, 0xfc4054d6, 0x91a173ec, 0x05424e5e,
+    0xf4ef88ab, 0x8f4f8860, 0xa17d3349, 0x8e3b9298, 0x1025eee7, 0xf5177640, 0xe0bd0af3, 0x94ac9799,
+    0x6bc8235f, 0x4daa29a0, 0x540b5503, 0x3802e152, 0xac03153b, 0xd9318761, 0x97248549, 0xde0a6cc4,
+    0xd42f4b0e, 0xfc21b82c, 0x61e27588, 0xc7ac9143, 0x1ab8d20b, 0xca295233, 0x8d264546, 0x2243dcb1,
+    0x7399c669, 0xb2a4c18a, 0x060f25a6, 0xb9bda614, 0x786166fe, 0xe5c3e3c6, 0xce10beba, 0xd2a95ef3,
+    0xa5fdb6a0, 0x6538cf2b, 0x063ec9f5, 0xba9d7658, 0x5793c18a, 0xa99412bc, 0xdb1bae1a, 0x8cbdf9bc,
+    0xd579eccf, 0xc3960ba6, 0xf2975d0e, 0x94f68c75, 0x0966f67f, 0x4538b4ed, 0xf0789cb5, 0xa860c28a,
+    0xf89c012a, 0x399e7ee5, 0x718aa7a9, 0x58df1edd, 0x4fe952fc, 0x8dc83e77, 0xb52453d8, 0x7cad32c4,
+    0xe38d9a37, 0xf4eaf9a1, 0x2e39e564, 0x267b80a4, 0x2d2a9d28, 0x50dc6d73, 0x2d6f3f78, 0xc0c08cba,
+    0xf9d43dbc, 0x21715abf, 0x7b7a1036, 0xdfb75a28, 0x55e9b22e, 0x7e5f152c, 0x20ea187c, 0x3d104f6f,
+    0xb749e242, 0x457a066b, 0xe23231cb, 0x9d89d357, 0x4af87a59, 0x10be6062, 0x9b6959b2, 0xda4dfb8e,
+    0x3776746b, 0x4da70b88, 0xd88c445e, 0x5e5875c6, 0x18bfb8b5, 0xfa678f89, 0xac4175bb, 0xdbcbdb93,
+    0x84e36c09, 0x28121ae5, 0x87828894, 0xd484d82c, 0x9485d752, 0xc35409f6, 0xa58b4067, 0xd72ad9a8,
+    0x25932bdc, 0x85fb8eee, 0x0bf86378, 0x29ee2107, 0x984ee745, 0xcb4fe615, 0x106ce7cc, 0x936737e4,
+    0x26238058, 0xd4ed5047, 0x76b08740, 0x9c62af44, 0xac4f3da0, 0xabee35f4, 0xca7749ff, 0x08fa5285,
+    0xf502ecdb, 0x8bfefaa3, 0xe20d5ad4, 0x98c4c04b, 0x27954dba, 0x18c763a1, 0x1920bae0, 0xf87d5e83,
+    0x94c24d2d, 0xed6ffde8, 0x6960ae8b, 0x7ce08bdc, 0x0924ee90, 0xa048067e, 0x0ec90ab5, 0xb9f43d02,
+    0xa61536d8, 0xe312569b, 0x49b300d1, 0x536857bf, 0xb829cba5, 0x8373e3f2, 0xfdb3e48e, 0x5818430c,
+    0x42bd59da, 0xfb8f5577, 0x19ecdc0b, 0x9193dc56, 0x5db27d7b, 0x2ef9d01d, 0xcb690b10, 0x0939171c,
+    0xd28e6e75, 0x67c69e69, 0xd591db11, 0xd42bde2f, 0x52bee1f7, 0x570ca2b5, 0x0fb9c673, 0x60f49c35,
+    0x724bfb8b, 0xcf792414, 0xb25fb13a, 0xd2ae393a, 0xaf9564db, 0xe3c02789, 0x2b381e3f, 0x49ece394,
+    0xd6d35a1e, 0xdd778e96, 0x45b35123, 0xc51fd398, 0x2bebe9b1, 0x191971ce, 0x6988119e, 0xa86131d8,
+    0x35dceab4, 0x7468acdc, 0xb70c5677, 0x353e0041, 0x5cd240fa, 0x7e4e617e, 0x2191f9b7, 0x4db8cf81,
+    0x23747446, 0x389de5a0, 0x9648d23e, 0x6dbda2cb, 0x575dc752, 0x08f9b86a, 0x377abf17, 0x10592b0f,
+    0xae0ac6c2, 0x16fcdf7b, 0xd02dc13e, 0x31c54e76, 0x8c04d653, 0xcce278dd, 0x860c03f0, 0x022680ef,
+    0x5d77a001, 0xe3cba38f, 0xa9b160d0, 0xc943e64a, 0xac62e874, 0xf71b1744, 0x281e7189, 0x79db0009,
+    0x9953229c, 0xda799a4b, 0x4171dc72, 0x83839991, 0x623edd63, 0xbc58ebec, 0xf88887be, 0x438a8b70,
+    0xd44082c3, 0xde083357, 0x15f5c209, 0x910038ae, 0xf5833772, 0xe33f0dca, 0x52cb7108, 0xb6219cc3,
+    0xe565e235, 0x642807e7, 0x4ac2f207, 0xedff0478, 0x6beb1030, 0x5846772e, 0xe2b7c8e5, 0x5ba13290,
+    0xc98b0bdd, 0xffb1c422, 0x5f0e6044, 0xb8070047, 0x61786d0e, 0x330f128f, 0x331f7ac3, 0x81e2fd51,
+    0x12b05303, 0x0780d383, 0xcaa21ee2, 0xd6fa47e4, 0x33bde653, 0x49481996, 0xb8c3ae63, 0x0717d6ef,
+    0x9075197c, 0xfecda22f, 0xd0b5b554, 0xf066f675, 0xb8b542fc, 0x54670ee7, 0x511da6c6, 0x45bbb596,
+    0xb2e2d6d3, 0x75083df2, 0x9a5eb806, 0xaddb22d1, 0xcee55670, 0xcbd20917, 0x8ebbeb62, 0x0e15bf0f,
+    0x52275c8f, 0xca7b4038, 0xb3d8d56f, 0x954fa88a, 0xb9b72334, 0x65f3562a, 0x7ae53df1, 0x92820640,
+    0x53360fb2, 0x166413a0, 0x696ac401, 0x8df77bd5, 0xa34fe33d, 0x96cbc3b6, 0xfddbdbc0, 0x3138926e,
+    0x51db2e64, 0x1f7f9868, 0x96f5ed18, 0x6822d1b6, 0x1688f4b7, 0xd419cfe4, 0x5b252b6f, 0x0f124969,
+    0xf79b8fc8, 0x9e2fa02f, 0x7a88f738, 0x7f4c4341, 0x18c93878, 0x2537943e, 0x5951fe94, 0x756f0339,
+    0x21fd218f, 0xec57609c, 0x6a2edc22, 0x0400a808, 0x7dd75b38, 0x23ef9442, 0x7b8d2940, 0x90cde082,
+    0x7753dd7a, 0xf9117c3c, 0x8eda40e4, 0xe835d2c6, 0x01346f60, 0xc354b05a, 0x29cd12c1, 0x3724d5b1,
+    0xfff1e4ca, 0x210c25c5, 0xd708bcb2, 0x43ee24f9, 0x26dc485a, 0x80c4fea2, 0xa32eaf0f, 0x5a7eb76b,
+    0xb4851bbf, 0x0561e2a1, 0x6fe7b7b0, 0x9d78d201, 0xfabe9257, 0xf197210f, 0xdd4a5bd2, 0xd2c25900,
+    0x6316ca49, 0xc7ecb357, 0xb47044ff, 0x5fac3fe0, 0x31df043d, 0xbb9450a5, 0xe867643f, 0xfe091ef0,
+    0x9c0de642, 0xa842fd87, 0x1f86059f, 0xd61c939c, 0x4c560339, 0x8ddffa78, 0x499a61fe, 0x9ac064c1,
+    0xb4f4aaaf, 0xe3b44bba, 0x3b6c5cc3, 0x5b8fd54e, 0x251cbe04, 0x041d1449, 0x9760e384, 0x77d47a4d,
+    0x564b07b6, 0x5bf7aab4, 0x80f1f721, 0x0da33575, 0xf7b932f2, 0x6a8bf46f, 0x8459136f, 0xfc46c27c,
+    0x4e47496a, 0xad63c1aa, 0x9bbc0ce5, 0x5537d7cb, 0x670322eb, 0xd425114f, 0x46d5629e, 0x7c497646,
+    0x5fa496a5, 0xc9a92249, 0x96e0c7aa, 0x1dabb43c, 0xb6cfdd99, 0x603e8c65, 0xfd08b9cc, 0xaec98307,
+    0x0e82e588, 0xf1f4e80a, 0x0346119e, 0x7ee2599f, 0x8f1c7ab9, 0x9e31f4bc, 0x36c27902, 0x709f3e04,
+    0x7b69efbb, 0xc281fdc8, 0x8bfa6916, 0xbccc9cec, 0xf5e419b4, 0xc52959a4, 0x96dff77e, 0x95ba3e09,
+    0x9eef24ea, 0x28b6dff8, 0x5983ee8f, 0x3049c1ad, 0xf5aa9f38, 0x41b583bd, 0x546d2326, 0xc003843a,
+    0x276c368f, 0x43ddce17, 0xd5f68377, 0x5661a80d, 0xd29cc55c, 0x2795477c, 0x33342fe6, 0xe52fb4ca,
+    0x2c9235f8, 0xd08267d1, 0x7b6cbace, 0xb76d2957, 0x94fef14d, 0xef316eb1, 0x2d744584, 0x009f4852,
+    0xe0908fb5, 0x9888f34d, 0xae4f44e1, 0x34bcec57, 0xbf4859a0, 0xdd27d8a1, 0xf0d37275, 0xd1235bea,
+    0x7511059d, 0x82ff7e9a, 0x361d0b85, 0x76f0f582, 0xb9f38821, 0x38e0caed, 0xf8af8dad, 0x5f7cc076,
+    0x0e20f0c7, 0xd8d7f807, 0x16b49626, 0x854bfa48, 0x7e7304af, 0x03946abd, 0x0f720b53, 0x25b36751,
+    0x2703c32c, 0xe9e9efe3, 0x0aad88e0, 0x7f7f52b7, 0x0a7cdce0, 0x290cf755, 0x31599d96, 0xff4c9e70,
+    0x93ce27d7, 0x5e2e6865, 0x61a863a4, 0xaaf02347, 0x7e1682b0, 0x827ec301, 0xc01d9730, 0x321f3d07,
+    0x93a595e2, 0xeda2e374, 0x2f70b456, 0xfb79115a, 0x24d134dd, 0x5903a018, 0x86e62501, 0x3d79fd18,
+    0x24767c5a, 0xf9ccefee, 0x21370397, 0x08a793d2, 0xdfc5d1c0, 0x77725a80, 0xafab869e, 0x2c7dbd6d,
+    0x259eee82, 0xabce5a64, 0x93f2a601, 0xcad93a71, 0x055ac072, 0x037ee802, 0x128642c2, 0x4b2d76d1,
+    0x8ab6191e, 0xa35dc9f7, 0x94de54c3, 0xadef7e80, 0xbd945254, 0x0c3f6415, 0xbeaf37ed, 0x24cb33c0,
+    0x6f090e0f, 0x8417cb61, 0x471e37f9, 0x48e80062, 0xf66ede27, 0xc741c507, 0xc2d5998e, 0x97c8f1ef,
+    0x9440da2d, 0xc6b90b14, 0xaefa805a, 0x79c7bce4, 0x16883cba, 0x23f6819a, 0xbdf8d614, 0x0140d9fd,
+    0x63d9f065, 0xf1af1dab, 0x104432a0, 0xc50fbe5c, 0xed29b4a2, 0x86bfa3cf, 0x09c043f5, 0x23b877a9,
+    0x5c8bea7d, 0x6cfcb5b4, 0x838b66c6, 0x1c467146, 0xa1740d52, 0xe04e4624, 0x1e98365c, 0xcd7bb551,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000375766813243813316462316895486293\
+                         92438010920782533117931316655544515344401833735095419183974156299248510959616 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5,
+    0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105c, 0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c4, 0x97d56c74,
+    0x00000000,
+    0xc6320378, 0x073ca7c8, 0xb2e47280, 0xcdf8d2e7, 0x6383dd33, 0x4b77789d, 0x8b224833, 0x80acbe76,
+    0xa1c156e1, 0x2532a159, 0x148c36a1, 0xb644a2ba, 0x53e8a6de, 0x75fce1ef, 0x3aa90405, 0x781b8cc2,
+    0xa44b3d0d, 0xba22d02c, 0x5108ae00, 0xfdf23132, 0x212da722, 0xfabdd7ec, 0xb07aeff0, 0x6e2d9db4,
+    0x00da78da, 0x638675b1, 0x15bc5040, 0x31e711f7, 0x4fb6ea54, 0x32f7461e, 0x127d1a77, 0xf9d03f94,
+    0x5a446d9f, 0x7b320bf8, 0xf3429f8d, 0x3a74c0a7, 0xd6ebbaa5, 0xb696c7fb, 0x44b89ab1, 0x74c830b7,
+    0x14c9df15, 0xb8a77cc5, 0x3d8b2a71, 0xa67973ba, 0x608179f7, 0xa3cb4b26, 0xea54a007, 0x06f17572,
+    0x1944cd60, 0xaae55177, 0x2db472c4, 0xf2b91e3b, 0xe972b6a7, 0x320c1f9a, 0xff59c2fb, 0xb4815f7d,
+    0x124e41fd, 0x2b5e962c, 0x1c0da86d, 0xabc1d3b4, 0xad55b725, 0xac7376fe, 0x01c5046e, 0x2aac5ab8,
+    0xe3b25fee, 0x5bca65c7, 0xec7d369c, 0xa3e8ae2c, 0x41c49cb8, 0xfa4c8ab9, 0xd470c0a7, 0xe966160d,
+    0xb508ae22, 0xf3db1896, 0xe0bc55ee, 0x6e58e895, 0x21cc3987, 0x3f408099, 0x3ac3fa87, 0xde342086,
+    0xb597a890, 0xc524391f, 0x26a227dc, 0x1dbf9e7f, 0xff55a4ff, 0x2533b407, 0x6271a8c0, 0x47842a1e,
+    0xd1cab0f1, 0x77647e7e, 0xf4190a71, 0xefc20156, 0x58d00a57, 0xe2166619, 0x4dee45a3, 0xe5ed0d0c,
+    0x95dc46c8, 0x6b8d852a, 0xd4f93f11, 0x2248680a, 0xf44ae2d4, 0xc687b821, 0x6a9d1d61, 0xe584a918,
+    0x4ef78678, 0xc2ab36a4, 0x081c5423, 0xd3baeb83, 0x6e4df9a4, 0x124880c2, 0xe0c2f0af, 0x3480fefa,
+    0x2dbb6ac2, 0x87585e0a, 0x0a034454, 0x1ba2bf40, 0xf61f9165, 0xc61a7e11, 0xa1bdaf32, 0xe697e23b,
+    0x8955e94d, 0xb058b80d, 0xcdf7fc73, 0xf16b546e, 0xa55f47c4, 0x074ccbb4, 0x52c4cc11, 0x075d8594,
+    0x9ae354f4, 0x0c8b3145, 0xd6758969, 0x62f9587f, 0xaf889194, 0x288cb8a0, 0x12cbb8ed, 0x06cf3a51,
+    0x62b7f3b6, 0x7f4c4a6e, 0x616e4ee6, 0xb095ed08, 0xb7f46075, 0x0052680e, 0x8f078971, 0x7aaa8406,
+    0x37865d7c, 0x42fc1599, 0x270c3686, 0xfb066c5e, 0x5c2ae42f, 0xe94ff775, 0x1b8f3341, 0x8ca32e35,
+    0x00088d55, 0xb497b47d, 0xb3ee191c, 0xa545ebe8, 0xcf885ff9, 0x80f33fac, 0x06860ad4, 0x13cbd3a7,
+    0x0862a07b, 0x2fe5c405, 0x75fb33c5, 0x47cf2435, 0x547ab303, 0x697aa91a, 0x6ec1938a, 0xaa0509e3,
+    0xfcbe8584, 0xf1fe3bae, 0xae1bfe1a, 0x55470423, 0x048b35e2, 0x650c2eb3, 0x4c785ddd, 0xc226a292,
+    0xa32529eb, 0x50a4825f, 0x1bd669bb, 0x9727eec1, 0xe4edf597, 0x31f3fec4, 0xd9533ce1, 0x43516780,
+    0x222aa781, 0xb9fe8ac3, 0x2c2bfbeb, 0x28a962fd, 0xc87f3971, 0x599dfca4, 0x50bcd8e4, 0x88f71dc4,
+    0x9370a2cd, 0x3c65defb, 0xa56ec0ab, 0x89cdcd03, 0x3b8a8ec7, 0x6231144f, 0x9176767e, 0x95a8b493,
+    0x2088f00e, 0x676a192b, 0xa4a78030, 0xf04734ed, 0xe33559dc, 0xbf9799c2, 0x1beb4c69, 0xd801fd1f,
+    0x26668081, 0x8cccf1cd, 0x1084b486, 0x198576e5, 0x5beb469e, 0x69b57cdd, 0x497baa94, 0x9a45544f,
+    0x2c2e12ac, 0xad86697f, 0x27f0930f, 0x7c3d11b6, 0xe89a1ef9, 0x5b5e5699, 0x5ec165d7, 0xafeaf6d6,
+    0x7de96566, 0x059fb157, 0xa804a3ec, 0x0e71d126, 0x65fbfc19, 0x851be918, 0x76e57f82, 0x6820f0d6,
+    0x85a2b692, 0x7e42137b, 0xfa0cec90, 0x308c6fbf, 0x300114d3, 0xc3906089, 0x07a7ea02, 0x9a3af19d,
+    0x22efd605, 0x7809a6ef, 0xdf95fcf6, 0x7b9063ab, 0xabcdb26d, 0x808d956a, 0x2c6b1c3f, 0x291da16b,
+    0x7a74133c, 0x015813c3, 0x8162f27f, 0x1aaa9431, 0xfdcb70bc, 0xb472bd29, 0x8520e9ab, 0xb4cacfa9,
+    0xcc0dc67e, 0xeed05fbb, 0xaaa3bf9e, 0x7b1a6dac, 0xbf56c8d6, 0x0026a9d5, 0x9dd97468, 0xe1750953,
+    0x5ba90b0d, 0x829455a0, 0xfa258682, 0x00d58b37, 0x9e7e667c, 0x55e09961, 0x154d0d6e, 0x23642e5c,
+    0x0f39b39e, 0x97078d15, 0xe55202bc, 0x18d6db38, 0xcf0d916b, 0x51337e1a, 0xc2c6c920, 0xb484840d,
+    0xf06821b3, 0x1114dd18, 0x2a89052a, 0x0c1f0ecf, 0x5064ed44, 0xac055b8e, 0x10430b9a, 0xe64e257d,
+    0x8e5b0d5b, 0xba3f41d7, 0x23bc6b90, 0x4a6b3507, 0x51d978a4, 0xd224683b, 0x2b0f5858, 0x193d6aaa,
+    0x4c259450, 0x9601b2cf, 0x57921557, 0xddc343f4, 0x067b4da0, 0x24228fa6, 0x42905900, 0x117cf334,
+    0x5eb41198, 0x0dabc0b0, 0x742fe73d, 0x421a1f9a, 0x60e00899, 0x62414ce9, 0xed9cf5ec, 0x3a5d0c93,
+    0x3ef6c367, 0x9f72b015, 0x1827b6e2, 0xdc3a4837, 0x2767ef22, 0x9e3f8f35, 0xb5b48f88, 0x70a5557e,
+    0xcee51138, 0xf3d0fec6, 0x7216575a, 0xb19ed092, 0x37b0551b, 0xaa45718b, 0x192a1546, 0x5d08d2e6,
+    0x08a458d9, 0xa30a93d2, 0x593f84e9, 0x7a9ff39e, 0x44eefc65, 0x4b8d3070, 0x35dd03a6, 0x5584a5a2,
+    0x500c3e27, 0x2438d663, 0x554a68d3, 0x12ec6e45, 0x49ff4f27, 0xdce57e02, 0x72bdf80b, 0x7d04d8e6,
+    0x773bdf64, 0x9cc8fe77, 0xc5118648, 0x7f573c8d, 0xd96a1820, 0x8b7f9a0f, 0x95ee1d27, 0xb777e5e1,
+    0xf6debca1, 0x44140ec7, 0x58119846, 0x75547334, 0x17a5829d, 0xe94ac38d, 0x678de9de, 0x70a28d44,
+    0x5fdfdcf8, 0x9d7a8e06, 0xe15dbddd, 0x2e8abbfa, 0x003422cc, 0x72420cf3, 0x27ff433f, 0x5c1f45de,
+    0x8612376d, 0xace72f8c, 0x7b271b12, 0xf26fd17b, 0x5035d49d, 0x68002e7e, 0x09a597b8, 0x81dc7401,
+    0x4639743b, 0x8932774d, 0x9ad8f0bb, 0x5062e283, 0xb931e106, 0xbb2a9d25, 0xf3878f05, 0x98112c8f,
+    0xb89483f1, 0x5f9ff15e, 0xf1f116d0, 0xf308a170, 0x7cdc6d6a, 0x404c78e6, 0x7670f505, 0xf2518bba,
+    0x557378c3, 0x75d05def, 0xd4bc1b30, 0x9c353089, 0xc6d70974, 0xbf35aebc, 0x097a07b8, 0xd49270b6,
+    0x73a0206c, 0x44fde9ae, 0xb88a7537, 0xbedc6662, 0xa3fb0280, 0x33179045, 0xd42b6274, 0x66f6b42c,
+    0x3a49e12f, 0x1f51b87b, 0x2efae9d7, 0x9e1542cf, 0x4f40ddca, 0xd71ad6df, 0xa84b3952, 0xf096449f,
+    0x54bed446, 0x9f5b75fe, 0x7fa3e3a3, 0x99068862, 0xbbda2be1, 0xb33bd12d, 0x4b96730e, 0x1bdab8ef,
+    0xe786fd09, 0x64cde86f, 0x288e28c4, 0x5f8cd07e, 0xaa642995, 0x5d164504, 0xf04d955c, 0x83f0fb99,
+    0xd11717ec, 0xe523dfad, 0x4d5ec2dd, 0x8b0b8cc6, 0xdcc95d62, 0xccb09af2, 0x9236c3c8, 0x93fc9243,
+    0x6b1285d5, 0x9575f41b, 0x77c34acb, 0xcffee2d1, 0x9f3f4c55, 0x62b81136, 0x695afae3, 0xe85e18ed,
+    0xed608a4a, 0x32cb97dd, 0xf363e8ec, 0xd817c396, 0xe3982792, 0x95e5119e, 0xe2196aa5, 0x3e2465f1,
+    0xeb36ba08, 0xf6add67e, 0x07707933, 0x17cd0a67, 0x608a6595, 0xc3a1c447, 0x503c6078, 0x5a4e8858,
+    0x6850d897, 0x6963fc7c, 0xbfb4c889, 0x8d385da3, 0x8231705e, 0xc7462c9d, 0x65e95d4c, 0xb8a21799,
+    0x7d18f596, 0xbdf1a469, 0x9be2f954, 0xf2bde3b0, 0x23599497, 0x2f8d11f9, 0x2ef16f96, 0x8ad2a1f5,
+    0xa1d9ba3f, 0xd7ff544e, 0x25d109bd, 0x0f52aab0, 0xeae05f7e, 0x1396583f, 0x51ec63e9, 0xd278eacb,
+    0x1440e71b, 0x60bbd3c6, 0x13d678d2, 0x8864f2e2, 0x15bbee36, 0x7c145264, 0xdd564b80, 0x6f47cf00,
+    0xa12b5ad8, 0xeeade8c6, 0xf322e5b8, 0x4bdd33f2, 0xd13139f8, 0xd0f1deca, 0x3883b2e9, 0xf4b0f0e9,
+    0x5d59da75, 0x591a02fb, 0x05cd321c, 0xefeeab59, 0x6b3d44c2, 0xe3bdf074, 0xb2093fbf, 0xd5436670,
+    0xbe612bfb, 0x3c7d57f5, 0xd261c245, 0x6d3f252e, 0xa005347c, 0x737937fd, 0xd6348ca9, 0xad5cc8f4,
+    0x5ee92dc2, 0x010324ad, 0x3e70c3f1, 0xef20ae44, 0x6e9e8fce, 0xd4258ef4, 0x7b6d2767, 0x9c3485b5,
+    0xa29fba3e, 0xd45b0eeb, 0x3b335337, 0xc7117fd0, 0x06b94a60, 0x66797851, 0xa3c86f07, 0xb97247f2,
+    0x5712c5bd, 0xbf5369ae, 0x6454897b, 0xa70ee220, 0x362a7b14, 0xf37676d9, 0x8258e570, 0xf0fd1603,
+    0xad52d506, 0x29563340, 0x6d73c3da, 0xd2ad593c, 0x7f26300e, 0xcacba3ab, 0x1ccc555c, 0x1098854c,
+    0x8509af99, 0x7dfd64c3, 0x7c32c6fa, 0xcd8e0da9, 0x0ede71a7, 0xa932eab2, 0x8da3e1df, 0x4cb3a626,
+    0xbb1641f9, 0xea144f80, 0x1e8e0816, 0xd0420d6c, 0x6dca7a4b, 0x89689adb, 0x10e60027, 0xa9726fae,
+    0x5fe1b555, 0xb8f6f9dd, 0x1b5f8f03, 0x356a75a8, 0xd47a6eae, 0x76479cb8, 0xca1c25fe, 0x0b4938a3,
+    0xeda2b19d, 0x6c847d6b, 0xfff440a8, 0x9fe06ff4, 0xdb919584, 0x15cbf8c5, 0xbe30fa19, 0x87455f4e,
+    0x37115e56, 0x001b7bf6, 0xdb412932, 0xca15f49e, 0x890b3df2, 0x5764255b, 0x2712f743, 0xd155bc35,
+    0xd93bf054, 0x9da91994, 0x3587bd41, 0x94485842, 0x78796041, 0x217a3fe7, 0x40120867, 0x86b1c455,
+    0xe0ec5124, 0x509942d6, 0x24e768c9, 0xbd6a687b, 0x0443b144, 0x9877385c, 0xd1ecc68b, 0x5241a9a5,
+    0xfa019afc, 0xb6523970, 0x51a0d3da, 0x9dca0c2b, 0x3de7bacc, 0xed9270bf, 0xc8e5069a, 0x1cb56e14,
+    0xe932316e, 0xc3f0cd6b, 0x177384d9, 0x3324603a, 0x7a9584f5, 0x55dbc469, 0xe86c52cf, 0x4c03a934,
+    0xe4718d7c, 0x8f1ef76c, 0xa8b3db57, 0x824e4d1d, 0x59055c27, 0xcaca1987, 0xfb003e01, 0x75dd0530,
+    0xfdfddd68, 0xdd5b9e37, 0x8baa9db0, 0x33722cef, 0x9da4471c, 0xf8a63c4a, 0x294b3b5b, 0x6c19bcf0,
+    0x501556e8, 0xc99bce4c, 0xd6baec5d, 0xbd72b335, 0x679f99fc, 0x7f485e03, 0x50af28fd, 0x7b6aa75d,
+    0x636578ce, 0x616b0eba, 0x1b1e84de, 0xb44f90f5, 0x1661080d, 0xe7262a9b, 0x98e3612a, 0xd170ba4b,
+    0x0433b315, 0x0463897b, 0x6b09f201, 0xef122265, 0x45fe9736, 0xeb17bd34, 0x904bf576, 0xb2c1312e,
+    0xf1c59395, 0x319fdfe2, 0x23061f62, 0x9ebced8f, 0xccf257a9, 0xca5c621a, 0x0ae11c57, 0xa7b51270,
+    0xa66f8e0d, 0x58661e28, 0x1e3d5f80, 0x92813c5d, 0xee37440a, 0xd9480452, 0x31f6dc4a, 0xa833698c,
+    0x4c18ba96, 0xba4fc910, 0x61194b7f, 0x879da326, 0x738e954f, 0x4711c24e, 0x746167ea, 0xf1406146,
+    0x6279a820, 0xc2283539, 0xdcb35cf8, 0x0900f8ec, 0xb2cee002, 0x238f3661, 0x965f40a6, 0x9a0845d7,
+    0x1a32b98b, 0xffda75d1, 0x07934e01, 0x14adbe35, 0xa76bf96f, 0xd39f175c, 0xf12505a5, 0x8d1bf1e1,
+    0x7277b0f8, 0xa7f1767b, 0x9a7ac957, 0xca33c803, 0x5a5eb5a3, 0x97213221, 0xcc0ac53e, 0x585b688c,
+    0x3faf4bb2, 0xa1c2110a, 0xe404971f, 0x1ea7c9b1, 0x167eb7b6, 0x8327a01d, 0xde588f18, 0x9ada537b,
+    0x1434c031, 0x0269a0df, 0x1a1d0e2d, 0x62139ffc, 0x05ac6679, 0x4a59f4bd, 0xd826bc11, 0xfeecb4cd,
+    0xf7db3460, 0xf0b0828c, 0x415d5c76, 0x82d5195c, 0x21a51be2, 0x7e5bed0d, 0xbf0f7d1e, 0x16e9a01d,
+    0xab8b3700, 0x5a8b9ded, 0x5724e907, 0xe0fef2bf, 0xbdde61d0, 0x45d8d7dc, 0x4f8b7859, 0x509c6b5c,
+    0xbdce3580, 0x5615acbc, 0xfaee6c3d, 0x6ad37982, 0xb0d3c24e, 0xaa5e6c02, 0xc03bf98d, 0x53a15f7a,
+    0x8129f94b, 0x4389d2b2, 0xec7dc5e2, 0xf79e79a3, 0xec56ada5, 0xb084704d, 0x3cf68583, 0xdd56e069,
+    0x4bf5511f, 0x47359b35, 0xdb58af3d, 0xd733d37b, 0xcb5627c6, 0xd7b7cc7e, 0x0c13c794, 0xf2005a18,
+    0xa070cf6f, 0xd51177fe, 0xcb9ffa0a, 0x03649d24, 0x806ddeb3, 0xfc35dd9f, 0x74e9560a, 0x4cbfcb54,
+    0x1146d855, 0xea0cce64, 0xf6aa88f7, 0xd773cb51, 0xae601689, 0x424c9911, 0x976e9d5c, 0x0515191b,
+    0x15659763, 0x55139b95, 0xb9e4b5de, 0x382dc6b9, 0xf333885c, 0x47ca5951, 0x49d04094, 0x32809f4e,
+    0xa0916d4a, 0xc5ebcd1f, 0xfe6873f0, 0x8f31e190, 0xf9d46b6e, 0xe602617e, 0x141d6a86, 0x6426e898,
+    0x02b84d50, 0x444aef0c, 0x6cc54662, 0x8d4fc590, 0xf6079a2a, 0x06cb5b15, 0x90f89ff6, 0xfa798d3f,
+    0x098dfaa7, 0x5cc0bdcc, 0x15371e94, 0xe8bc3cb5, 0x539cc2db, 0x054f9651, 0x52274967, 0x62e4d521,
+    0xfa9dbedb, 0x3970702f, 0xb37ad373, 0x7a2dd7e3, 0x08923afb, 0xce022513, 0x2e1a13a8, 0xf35f4567,
+    0x873a6204, 0xe4e60616, 0x8e2f05f3, 0x87250882, 0x452afda6, 0x0b3e0793, 0xf90b8de7, 0xade60995,
+    0x767509d0, 0xb7b969b8, 0x6b451558, 0x84c545aa, 0x07525e07, 0xab31d0e8, 0xf9cd2cc1, 0xfad09837,
+    0x54367ea1, 0xed8803bc, 0xb36fbd1c, 0xabc2630f, 0x0563acd0, 0x12a7dacf, 0xa456bae5, 0x785fc569,
+    0x7be4a8af, 0x7059b0cd, 0xbb59c211, 0xbf3bdc3f, 0x26d4c756, 0x54c8e5b0, 0xf7208bba, 0xa02e27bd,
+    0x2ce40f78, 0x1464f093, 0x8045dc86, 0xb7e0a539, 0xb92c8732, 0xaf98d438, 0xe19634bc, 0x9ed9d3b2,
+    0x6107f8dc, 0x7d74a243, 0x0d2be026, 0x6d3b39c7, 0x2948169a, 0xb7d1026d, 0xe8594fa4, 0x2f3b30a2,
+    0xa2930c8a, 0x9e163433, 0x5149662d, 0xab7e5447, 0xdb1126ea, 0x50471827, 0x87c73927, 0xcb9b9b55,
+    0x71fc0378, 0x7d0485bc, 0x50d35e27, 0x0b3cea85, 0x4ea06a2f, 0x59b2be32, 0xefa0ac29, 0xf1d53ecb,
+    0x05b46694, 0x9e40d85e, 0x84c7f078, 0x10a83820, 0xb53b93e7, 0x8795261b, 0x4edbeb9f, 0x1bfdc2d5,
+    0x2fa78330, 0x2402991a, 0x889b37d3, 0xd50b28fb, 0x2593a3f4, 0x6a7419d6, 0x82c04631, 0x70dfe5f3,
+    0xd3d1c8bf, 0xdd6f95eb, 0x11344797, 0x9b987329, 0x8ba371e0, 0x104d03e4, 0x1018b000, 0x4f6b23af,
+    0xee751c17, 0x9b57a3e6, 0x75b998eb, 0xce84fdb3, 0xae1d4b38, 0x75ebf530, 0x86521c1a, 0x7998e7e6,
+    0x86c26205, 0x353d5007, 0x67d48e83, 0x03e169c8, 0xdd45ee62, 0x14572879, 0xacc93177, 0x02a6fb9e,
+    0x23fa994f, 0x627e9bb0, 0xe24c2e14, 0x543804ea, 0x29e22d93, 0x6bd503e4, 0x6283383d, 0xc7db51b1,
+    0xf1c70601, 0xca188b5a, 0x21407d69, 0x904076ca, 0x4bedce68, 0x48a7f06c, 0xb11b88b1, 0x32b29f64,
+    0x6218fde9, 0xca12f9f2, 0xff248056, 0xc881ea4c, 0x957306eb, 0xa46d973a, 0x286450b9, 0x08bf6de3,
+    0x18a12da2, 0xa239bd1e, 0xc082e1cd, 0xc9cdd154, 0xf344b4ee, 0x66f05be7, 0x7e770362, 0x6102a51c,
+    0xb6304dbc, 0xb3a39a5a, 0x896cd545, 0x0345cfa5, 0xf0679d41, 0xc83430de, 0x9ccc2af2, 0x07124fc4,
+    0x427c1abf, 0xf5a9cf64, 0xf312b653, 0x75d534fa, 0xa9dc9e79, 0xf3e56de0, 0x975e13f8, 0x3d170208,
+    0xae071ec5, 0x96c9e6b5, 0x660c4b0d, 0x43273765, 0x64e8709b, 0x2cb340e4, 0xbcb551f4, 0xf60527f1,
+    0x9f49630f, 0x724fee78, 0xd11e7bbc, 0xe7d60346, 0xd51f1977, 0xb8c50841, 0xd39fe580, 0x5aea0f8e,
+    0x21a84256, 0x7b7c3e1b, 0x9901da04, 0xa94988f4, 0xee86b82e, 0x6044213f, 0x855733f2, 0x101fca86,
+    0xa763ee6c, 0x762d20f0, 0xba936480, 0x409bf654, 0xaab2de87, 0xdd49a7aa, 0x4f7fc067, 0xb3ca4188,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000187883406621906658231158447743146\
+                         96219005460391266558965658327772257672200916867547709591987078149624255479808 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da,
+    0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082e, 0x7859d066, 0x50fde9dd, 0x51f3a3e2, 0x4beab639,
+    0x00000000,
+    0xe140419d, 0xab914f04, 0x4635ef46, 0x2b59345f, 0xca4aa816, 0xdc10997c, 0x6e9de067, 0xcc781d7e,
+    0xb566666c, 0xa625e3d1, 0x4b795393, 0x0717e8b0, 0x6f3c43b3, 0x756a7624, 0x119225f2, 0xe7609c79,
+    0x8d5bbfbf, 0x8de0b7ec, 0xd2b87897, 0x0f09c12e, 0xbf28067e, 0x3ac99964, 0xc0e94442, 0x017667cb,
+    0x1e49560e, 0x914627e7, 0x04ca9502, 0x0acf37af, 0xfbd29ab7, 0x69077582, 0x1982e7f8, 0xe4c84366,
+    0x6d87fafe, 0xa31701a9, 0x5ff3dbc3, 0x57714223, 0x1913cb11, 0xd7ea235e, 0x2c449529, 0xab9d78e6,
+    0x6243d433, 0x24e2efb7, 0xf99f85b8, 0x8a702936, 0xeb48f72f, 0x34d983e9, 0x4c39b6b7, 0x06f0b6ef,
+    0xabc35c56, 0x18f44e74, 0xd8f23c6c, 0x3bbc6160, 0xe58fbfa4, 0xa7a96b39, 0x9de515eb, 0xf2dfc9a8,
+    0x45c3be12, 0x9a5cf86f, 0x753639f0, 0x2571f56b, 0x2d6e2985, 0xfc94e303, 0x89a1d1f8, 0xd51612dc,
+    0x672f6718, 0xc3f054cb, 0xcf3df434, 0xd568896d, 0x72c18d42, 0xb3cbd908, 0x01b9be61, 0x1ea57d98,
+    0x6ecb4578, 0x56890dc0, 0xda1bdf5d, 0x97845d9d, 0x8ff467cb, 0x4cea25a9, 0xc69f3ad7, 0x6574d9ac,
+    0xef182edd, 0x8a8ec924, 0x9bffa7e0, 0x05e476d0, 0x5dacc9d1, 0xf0ba705d, 0xaf79e57a, 0x3e7c1500,
+    0x19f4f80d, 0x4d013214, 0x4b9e3c8a, 0x31b8cee8, 0x90f32033, 0xb7a49dca, 0x7903dff3, 0xfa11c554,
+    0xda270297, 0x4fbd7a5c, 0x9044f26e, 0xb1513ced, 0xc0886610, 0x4e95fd7c, 0x23aec368, 0x83727d30,
+    0xb3d377fa, 0x60dfc950, 0xb480a9d0, 0x5187f677, 0xc5363b9a, 0x857b599d, 0x13a5b670, 0xb419c50b,
+    0x28bcfdad, 0xcf7b60d6, 0x8db585ff, 0xd2e1100f, 0x78ac05ea, 0x951972dc, 0xcb50108d, 0x4fe240c4,
+    0x288c0742, 0xff7e44b1, 0xe9a1efa1, 0x4b5884aa, 0x6c0e3c35, 0xcd170325, 0x6d99ce3f, 0x52f109b8,
+    0xf6182033, 0xe608b56f, 0x65c9282f, 0xe09e5209, 0xe45025ec, 0xf29cc395, 0x953ff56b, 0x64f43879,
+    0x7dda7b45, 0xcbcf4eff, 0xca55df00, 0x6edad312, 0xbf97734b, 0xd6cf2b89, 0xcf4f9bbe, 0x63c1a812,
+    0x96ffa78d, 0x5055e0ff, 0x5a6b31c0, 0x46da7e4b, 0x0079efa5, 0x8539dbf6, 0xd70bb8f0, 0x83feece2,
+    0x0dd85e33, 0x7629dbfc, 0x63d66cc6, 0x45b7719c, 0xdb7559c6, 0x2d08176e, 0x5b3768a6, 0x0444b3d9,
+    0x3fdeb72a, 0x109bc282, 0xe33426f0, 0x5f438921, 0xede5e059, 0xd59bc1d0, 0x4f88af4e, 0x261f7607,
+    0xa7d8ea3b, 0x3a6f5296, 0xd1078999, 0x94f55bde, 0xc58dc68b, 0xd58bfaa2, 0x0e7637ad, 0xe89a2145,
+    0x356d155f, 0x3b2df71b, 0xe27104ba, 0x88146f4c, 0xb40ae1c8, 0xf8a363f6, 0x487c2841, 0xccd751a3,
+    0x5742d1a2, 0xe007c75f, 0x462e814a, 0x1c9bb13c, 0x75bedba0, 0xed5afc40, 0x8f22cc0e, 0xcdffb85a,
+    0x135f1b25, 0xc9d7e052, 0x2a231a8c, 0x420a140e, 0x3e501521, 0x51566efa, 0xb9f7d189, 0x96125757,
+    0x1412d50b, 0x95140477, 0xdade62dc, 0xed362747, 0x0f5f0186, 0x669ffbbf, 0x9ccd483f, 0x6490cc42,
+    0x65949c28, 0xc2d36f05, 0x870fa615, 0xfa93c454, 0xf7778e3a, 0x571c39e7, 0x319cf281, 0x77804915,
+    0x7e427912, 0x993e042c, 0x47f7a730, 0xb1d347d5, 0x887cfbf1, 0x9bb155ee, 0xd91c3d99, 0x072662cc,
+    0x022fe71b, 0x468d2e40, 0x6b17de80, 0xc0b442b8, 0xffe6528c, 0x29143269, 0xcccef1e5, 0x248ebe3e,
+    0x02477e0a, 0x8daa4135, 0x2c71b57e, 0xe7d4797c, 0x11596711, 0x3d867882, 0x667bd3b7, 0x041f03e5,
+    0x49dc8d30, 0xdf71d67c, 0x712a0a3e, 0x0f3775d4, 0x3d5b65d3, 0x6e3ce2e0, 0xf272542a, 0xfe368b07,
+    0x11e13a6b, 0x5f7dbf9f, 0x65d3e65a, 0x19d7ea41, 0x5bf2aace, 0x6130366a, 0xbe5f238a, 0xcb960108,
+    0xc0dab5ae, 0xed14e2b2, 0x1787e89a, 0x4e0c15bf, 0xd365899d, 0x781cffaa, 0x0eece03a, 0x773e0357,
+    0xeaeb5925, 0xbe3c9470, 0x28e583b3, 0xede3788b, 0x27b735be, 0x5b388f04, 0x7777fa62, 0x65e9898a,
+    0x2086d90d, 0xb3633598, 0xf404a27f, 0x7e40306b, 0x637c3c3e, 0x9516ecaa, 0x1aaad8d2, 0xa2256955,
+    0x4943d3d9, 0xa34751c3, 0x0c31a14e, 0x5c83c8b1, 0x4b505a91, 0x1091570e, 0x33d198bb, 0x7bb3ed54,
+    0xfe5e6598, 0xac946ec9, 0xe4432d9e, 0x53185f4c, 0x8d427845, 0x4cfc4ce9, 0x07460a38, 0x62ef7f33,
+    0x2820f7fe, 0x7437e033, 0x8b460f6b, 0x2cdaad35, 0x0eb6b356, 0xba09eaaa, 0xd341b2d8, 0xeabaecd5,
+    0x7dadf12b, 0x4da031c0, 0xcd60d110, 0xa7719a06, 0x7132e487, 0x5e494db5, 0xfe8b6343, 0x869ef3dd,
+    0xefb8417e, 0x8d9a02e9, 0xa448de5b, 0xbc9f68d9, 0x55b472e0, 0xcb345b64, 0x21ae3dd0, 0xeeb6bcf4,
+    0x54d707f3, 0x1acb6ddc, 0x5bcf9462, 0x0890a4f4, 0xbcaaac3f, 0x0857fa87, 0x3a0e1680, 0xcfa55570,
+    0x008cb7c3, 0x6830e222, 0x02fc41df, 0xbf8e90f1, 0x40960f73, 0x0fc97e29, 0x8b699ab1, 0x8fb63336,
+    0x66ec9e78, 0xed570699, 0xbffc5f01, 0xd0084395, 0x6a76886a, 0xfcc1309c, 0x1010f3c5, 0x303bbb23,
+    0xc30b99a0, 0x12f4d491, 0xf6e19f45, 0x47e5a4a4, 0x376ba017, 0x8e11a03b, 0xcbf8ed9a, 0x516855e9,
+    0xaefb36c1, 0xbc4cf980, 0x99eab1ac, 0x4c4cc276, 0xf87898d3, 0xbb99ce5f, 0xa37262b5, 0x8e779bc7,
+    0xe1cbd3b4, 0x811f2154, 0xb696cec7, 0x6b81340d, 0x0753a37e, 0x46c3efd6, 0x63c80f0b, 0x477e9e7a,
+    0x8a350c20, 0x6817eea7, 0xaa2f077f, 0x55e267b9, 0x3e042388, 0x34af90c9, 0x7a253924, 0x7d847a34,
+    0x4a0b83d0, 0x27383319, 0xc00d1db7, 0x1b89a90c, 0x200f0200, 0x8b0d60a9, 0x60256473, 0x5e9033e2,
+    0x0f8d3c4c, 0xb613eeb0, 0xef7ac4b3, 0x83df2792, 0xa9255e05, 0x7d6916e6, 0x29ff4474, 0x707dc0e8,
+    0x16d835fb, 0x7f0b2f45, 0x6ce3a4f5, 0x142472ce, 0x0b990f7c, 0xa91447a3, 0x6e171427, 0x4321bf12,
+    0x06926d31, 0x6efe32c1, 0xbf54e8bb, 0x5380e2b8, 0x36650d22, 0x1ffb8719, 0x19b18494, 0x50575a50,
+    0x26099d29, 0xf48c04cb, 0x5d17559f, 0xefbcd57f, 0x2fed172f, 0x5d245d99, 0xbebbea4b, 0x6fbf9af9,
+    0xb15c07aa, 0x65742f91, 0x6a348457, 0x592d6844, 0xf985f6dd, 0x0a223ffd, 0x2063a6c9, 0x83223acc,
+    0x3c45d311, 0x6c3ca246, 0x0a31aa4f, 0x9be0cf74, 0xab3ca59b, 0x046a46a4, 0xab136ed3, 0x8cdec9a7,
+    0x5e02205c, 0xa4f1bc25, 0x6d75dbac, 0xbe28446b, 0x64d75d20, 0xd8d9e556, 0xc77fe4c9, 0x0d926030,
+    0x53373cbb, 0x96099e11, 0xe3b07d5a, 0xa72a610f, 0x466ba916, 0x57990a14, 0x6383c78e, 0x281049c9,
+    0xbd963f49, 0x4b77c875, 0xd2aff46e, 0xd224f69e, 0x2afb4ade, 0xbde478c1, 0x81e08516, 0x2b54f92a,
+    0xba1a0890, 0xba1d57dc, 0x979525df, 0xf8e5ba2f, 0x90939c22, 0xb59ad7f5, 0x5765397a, 0xc99e517f,
+    0xf0fcd383, 0x9e61bb49, 0x1d38817c, 0x3f4bef58, 0x2b743c01, 0xa03944f2, 0x32991f32, 0x9a577ec4,
+    0x0cef854c, 0x5ff00d04, 0x3314c169, 0xf1b9dcbe, 0x8f39cca7, 0xcc313b6d, 0x0e90179d, 0x1a13ec9a,
+    0xc03480f3, 0xa0aa98bf, 0x4938a26a, 0xd490e179, 0x0b2f7866, 0x6821581a, 0xd4ad80d8, 0x4169357f,
+    0xd39997a3, 0x59edb664, 0x1eee6eef, 0xc137d9af, 0x787b7795, 0x2726c7af, 0x1a2938f6, 0x1685472a,
+    0x5c75a305, 0xc873c9d9, 0xdb82e111, 0x17d5eeda, 0x0403c84b, 0xd26abeaa, 0x97ffff8d, 0x887143c7,
+    0xa4ef973e, 0xaada85cc, 0x068dade0, 0x7a2e73f5, 0xa4db30f0, 0x6af90198, 0x7eb75025, 0xaa066bd6,
+    0x52126b1b, 0xfe5428c5, 0x2977c242, 0x14d858c4, 0xb5cb8a79, 0x78e4e9e5, 0x66ec13cb, 0xfefa5f5d,
+    0x5e8c1a51, 0x137d3fb4, 0x45deeb89, 0x4e78edce, 0xa150cb1f, 0x78e4df6f, 0xe8111d57, 0x5eca7859,
+    0x06e193be, 0xb7170d24, 0xcf70861f, 0x671770d5, 0xeadeef68, 0xa98e6b4d, 0x0e732f08, 0x6a86bfe7,
+    0x7c2bffdd, 0xaafe41b7, 0x2c0218cf, 0x0853edd5, 0x05bdf060, 0x08f91d51, 0xb697c91a, 0x4008895e,
+    0xc2760baf, 0xdbfe8208, 0x08b5cfa6, 0xb19e0d2d, 0xadc6f8e1, 0xbb1f2b8f, 0xea62be27, 0x2e7fa88d,
+    0x344502d5, 0x6a559f0f, 0x79d6668a, 0xd10c0bc1, 0x7f96557f, 0xb11dd780, 0xd84629ca, 0xa6e2e93b,
+    0xff0c75fd, 0xdb2faba5, 0x92a5c5ae, 0xbc7e695a, 0x12936ce3, 0xa505eb49, 0x6d4e372b, 0x367edd41,
+    0x6290114b, 0x81614780, 0x45c5b57d, 0x4d3db5f7, 0x87e0bfe8, 0x61bd9a4d, 0x7f2db592, 0xa0c6ff45,
+    0xa83a10bc, 0xbf11f6b8, 0x49c2b88b, 0x42318d91, 0xa3089e2c, 0xfc065aa7, 0xb880882f, 0x11700652,
+    0x15ae1ad7, 0x6e5af97b, 0xc44bd24f, 0x359e8b2d, 0x5f9d91f1, 0x768ee894, 0x8500830b, 0x314cfabd,
+    0x74d9bfe1, 0xded91aa1, 0xed06446e, 0x71a37876, 0x63329ff5, 0x2da34b50, 0xea5e9f02, 0x1e0c34be,
+    0x4ce4f9b2, 0xd1a7ec50, 0x308148f9, 0x8f716490, 0x1347e92d, 0xe336a519, 0x0c1f5418, 0xfee321ea,
+    0xcd0c34e6, 0x329ca80f, 0xf7a02022, 0x8b0683c0, 0xa3034387, 0x14e04861, 0xe8a13910, 0x77b553a8,
+    0xbd1458a9, 0xb6306e28, 0xfd94d00c, 0x544b5912, 0x1e8d3001, 0x458cbd02, 0xc6d06eaf, 0xef72d4f0,
+    0xd0da010c, 0xf6ca97f8, 0x4751513e, 0x9cf387f3, 0x4c22cd79, 0x2e701174, 0xf93d30a7, 0x72d5f82a,
+    0x33b11f22, 0x00ee1174, 0xa7aa1bf9, 0x85cc1b7a, 0x82e5b595, 0x3b3cea6a, 0x8945e922, 0x07b1752b,
+    0x355d825a, 0x03ce4536, 0x8dba65ca, 0x8457fefd, 0x76cc576a, 0x0c78c960, 0x2a1991dd, 0xa158b3c2,
+    0x5e4ab2e8, 0xbd58c47b, 0x01ec9f47, 0x0af5f4ea, 0x494bed3a, 0x362bb536, 0xc680c805, 0x295142c7,
+    0xd89e5fa1, 0x86c426cf, 0x45e3f7f8, 0xf61cd001, 0x5fed1d29, 0xe22cf69c, 0x50cebfde, 0x15fc9899,
+    0x98a22108, 0xd32a92c2, 0x3b928d00, 0x59ad21fb, 0xec0b4bc1, 0x240e59f3, 0xd7e7eb86, 0xeb9a0979,
+    0x75edbeb2, 0xe167ff7b, 0x8d681117, 0x1fce9508, 0xf94d73b0, 0x9ea4ab03, 0xb897a8dc, 0xd5dd458b,
+    0x51c58826, 0x917cd549, 0xd94708ba, 0x4e520168, 0x3bebd311, 0xc04b33ce, 0x65c3caec, 0x10a3471c,
+    0xcc1fe1f6, 0x15a7c72a, 0x3a8bbad9, 0xac4647b5, 0x6775f05d, 0xb4ce952d, 0xe411bfa8, 0x6843fad9,
+    0x32a78b85, 0xd7987d16, 0x3f064516, 0x0aa41acb, 0xe68e26b5, 0xc132993a, 0x7aea6b77, 0x2f48fd4b,
+    0xff482a85, 0x9015dde8, 0x33a8f19f, 0xc2074054, 0x566ebfe5, 0x081740fd, 0x4cb1df92, 0xf44b4f50,
+    0x982b6307, 0xc1ba9b8e, 0x4ae8846c, 0xc35edf60, 0x7ddea074, 0x4e415081, 0xcdf2efd8, 0xe2eed731,
+    0xcb282508, 0x58aff061, 0xb242965d, 0xd9254ca0, 0xb2353a72, 0x965bb6ea, 0x3a43151f, 0x1b700919,
+    0x4db9ed52, 0xa928bd08, 0x4ae74b4c, 0x1a50f4f5, 0x9244a135, 0xda622b10, 0xbee37d81, 0x6a9647ac,
+    0xe811a1ca, 0xc2bfebba, 0x8a2b4c81, 0x37f21852, 0x39049646, 0x4addcff2, 0x1b001e84, 0x20a5c576,
+    0xd7f1e363, 0x5a83d484, 0x0e9640d0, 0x4630c321, 0x36be3a90, 0xaace976d, 0xb5d855bc, 0x0469a424,
+    0x81797960, 0x9f30b7b1, 0x9d8a3537, 0x70169f27, 0xe3a77e31, 0xca623750, 0x68f29c07, 0x65a2727a,
+    0xab33a953, 0xfe39a94a, 0x360f79bf, 0x00f7f53f, 0x4d21e8e9, 0x20cf76df, 0x7850e97d, 0xb2c25c23,
+    0x7e9e3476, 0xd9324509, 0xe759dc7b, 0x138dcd01, 0x1856b3d0, 0x1b79cb72, 0x70bc1336, 0x28d26698,
+    0x5c579c38, 0x662c83f1, 0x821197a2, 0xe6ab2898, 0xd917c99b, 0x94ebc3f4, 0xb3a64c8f, 0x1dd13fe4,
+    0xa2bf976b, 0xe2b6530a, 0x004bc4a5, 0x3effe06d, 0xbf9f5914, 0xa1f9b88d, 0x4e33a11f, 0xda197a81,
+    0x72aa7e36, 0x83b8dce8, 0xb2986af9, 0x5aef8436, 0x2168a10d, 0x6b3ef711, 0xa8f20e6a, 0xf0e118bf,
+    0x55008cd0, 0x80d5ab02, 0xf28cd210, 0xff00fc22, 0xe0d428d2, 0xbd3f40af, 0x3809b437, 0x5328faa9,
+    0xf919acb4, 0x6da74466, 0x3b8c3635, 0xd53b2aca, 0xb2d4a3b3, 0x467284c5, 0xd61f1da0, 0x7ad0a9da,
+    0xb6d81508, 0x25bca150, 0xff6ce988, 0x66cdc5c6, 0xdd1afae2, 0x586cbaf4, 0xea58d123, 0x6d562dd9,
+    0xdd17c6ef, 0x058a8eb0, 0x5ef89594, 0x71fc0ec6, 0xdf1b8f8f, 0x04363790, 0x54191d41, 0xfaef147f,
+    0xdb3eaa12, 0x954d7064, 0x2569142d, 0x0b8cebc3, 0x86b406bb, 0xcb6b5805, 0x046f9f9d, 0xb5cba716,
+    0x2aa8a9d7, 0x84999de1, 0x392be1fe, 0x67ba4e14, 0x1c48717f, 0x75897f3b, 0xff003d9f, 0x4cdb1749,
+    0x7810fc36, 0x1f19e94a, 0x0785e781, 0x4b5633fc, 0x8f4ba4d5, 0xdcde635d, 0x400de9fa, 0x8f9a8b6b,
+    0x9183fa9b, 0xbb651b0a, 0xc2298c12, 0x2e5b21a9, 0xeb489755, 0x66d6f18e, 0x9a1a2c23, 0xeb270b4d,
+    0xf60067f3, 0x92f25bc8, 0x2243818d, 0x9a673b61, 0x274ab032, 0x28013a08, 0x790d3e4f, 0x3c34ab95,
+    0xafd01a8a, 0x3e2ae655, 0xd1369b49, 0xc8ca351d, 0x8b5511ee, 0x068bcc97, 0xf589bf63, 0x7eda282d,
+    0x3b5bbee0, 0xd744a38f, 0x25d9e03b, 0xddd57c4f, 0x59129fe5, 0x13447f97, 0x4b46173d, 0x68ebf3e8,
+    0x7720b803, 0x62809216, 0x77dbfb21, 0x8fb7a644, 0x14233510, 0xd5c3fcd9, 0x462d3590, 0x1ee667cd,
+    0x384754ad, 0x22b884ce, 0x935a5841, 0xb0a4bd43, 0x6b50394b, 0x3ccb8a78, 0x625e3393, 0x231c75ec,
+    0xec8bc652, 0xb7b882a2, 0x79ee0ac8, 0x469066d1, 0x7187c17c, 0xd941b378, 0x2c1010b4, 0x19b3cfbe,
+    0x1e826d35, 0x24b80be9, 0x7154ece7, 0xfc4304fc, 0x01e2fe06, 0x85fed243, 0x77dbccb4, 0x6de83dad,
+    0x20d9a8e4, 0x4a3efd4e, 0xad87eb77, 0x0c501ac9, 0x703d0bf2, 0x1d4c80e4, 0xcdac0b35, 0x2be5455d,
+    0x5dfce603, 0xe1fcd01e, 0xd65a99f5, 0x52ac05b5, 0x9092f1ec, 0xc6ca633b, 0x81c51309, 0x486b0736,
+    0x3dab0c83, 0x1d42642c, 0x758ff196, 0x0a2ba7fb, 0x66261818, 0x834d1271, 0x44377563, 0x9ec0e5ff,
+    0xbfa5bc60, 0x235adf2a, 0xe7954fe9, 0x8cbb7448, 0xe665a559, 0x10874a4c, 0x565a992f, 0x8db61070,
+    0xd37f4c76, 0xe41246a1, 0x15a2125b, 0x478a5d63, 0x82b6889e, 0x2cacabf0, 0xabdf26c3, 0x4e3bd0a2,
+    0x8bd0bee4, 0x139edc0c, 0x8d7c2d0a, 0xaadcdcff, 0x3667acb3, 0x2fe1919a, 0xb2078677, 0xf43e9426,
+    0xb541a24d, 0xe506e045, 0x6fc1a262, 0x856f11c6, 0x2e139d72, 0x1874cffd, 0xab7fd592, 0x9c2c925b,
+    0x192dabc4, 0x7238f146, 0x19f5dd75, 0x1bd78f1c, 0x439aadbb, 0xe2dd8b56, 0xff2a3913, 0x70de52cd,
+    0x42741100, 0x2359db94, 0xc322e894, 0x8533ae75, 0x04fd75d1, 0x687aec36, 0xb042978b, 0x60bf92a6,
+    0x9abe7fbf, 0x07c07ab2, 0x443dc786, 0x7fe11f39, 0x92b4e35d, 0x67b66c03, 0xebf7be8b, 0x39be88c1,
+    0x25e7a228, 0xaf88052e, 0x01d38211, 0x9d95ba2d, 0xf227e958, 0x842e5347, 0x4fccef64, 0x73e69db1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000093941703310953329115579223871573\
+                         48109502730195633279482829163886128836100458433773854795993539074812127739904 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d,
+    0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640417, 0x3c2ce833, 0x287ef4ee, 0xa8f9d1f1, 0x25f55b1c,
+    0x00000000,
+    0xa9ccddcf, 0xf5844716, 0x55e1ca33, 0x795a45bf, 0xf827dcba, 0x4b74cdf6, 0x4934936d, 0x2a567c4e,
+    0x8b7af167, 0xcdbe3af3, 0x01b7bdf7, 0x8b042175, 0x3e77547d, 0x612a2999, 0xc485f587, 0x05b7c758,
+    0x6afe6ef2, 0xeb3fa772, 0x2b03fabc, 0x5f2db777, 0xf2425b5a, 0x29d44cbc, 0x511d96e5, 0x3bea8a1e,
+    0xf57efe68, 0x3193c711, 0x49d702bb, 0x77981d2c, 0xd689a809, 0x18068502, 0x8f3a3a6b, 0xf8c32acc,
+    0x45cdbb98, 0x00f50969, 0x5db5bf36, 0xe28fa2dd, 0xfa3b3936, 0xf44a3f78, 0x918fbdfe, 0x71b733a9,
+    0x090e61a1, 0xd0a931e9, 0xb728b8a2, 0x07d5668c, 0x4f855b7d, 0x1d7b2c8d, 0x901126a9, 0xdd1fccf4,
+    0x93b44f46, 0x72f9d894, 0x147e9815, 0xedb569b4, 0xe5aa9de4, 0xb86f6c11, 0x8b885ab5, 0x70d8c641,
+    0xde1321fb, 0x48939db4, 0xfc2b437a, 0xe483cd10, 0xd15a06eb, 0x76c5e53a, 0x06f4e236, 0xc4e45baf,
+    0x734dd468, 0x503f1558, 0x59e23e21, 0xe0398ff4, 0xb22d8af2, 0x0850b49b, 0xcd65feca, 0xaa663222,
+    0xd8d6a191, 0x3a749e5f, 0xe3721ceb, 0xbd6b2717, 0xa80163e1, 0x910efe65, 0x2bb13a1f, 0xbc56b910,
+    0xf1cdef19, 0x4074e4ff, 0xfab278b7, 0xa706c4c5, 0xbc818499, 0xf5457089, 0x4f1d69a4, 0x4ad7d786,
+    0x2dda3516, 0xd657831a, 0x2fbe9013, 0xb0e97bd8, 0x354cb18d, 0xd8dc4877, 0x12d6ae11, 0x9ca0f117,
+    0x0e645165, 0x0e8eaaa2, 0x6b7a16e3, 0x6e2de08e, 0x404b5218, 0x6ec8a7b0, 0x7123121c, 0xcb260faf,
+    0x40cc6e82, 0x89e9fcd7, 0x77b9a100, 0x1b4aced8, 0x15dac04d, 0x05d49708, 0x8cb4f28d, 0x7d6897b6,
+    0xa8d123f6, 0x07bfd70f, 0x5285f720, 0x50b6c78a, 0xaa52dba9, 0x566eebda, 0x0f483f7b, 0x4aa2de57,
+    0xcc3de606, 0x07942e57, 0x8494e30d, 0xb8c49568, 0xc188b920, 0x535375df, 0xe4b00132, 0xdc01a717,
+    0x4316ff4d, 0x68e12469, 0xd91e8622, 0x925c5aa6, 0xc133123d, 0x2a8baa20, 0xde6b0645, 0x2596f2b4,
+    0x1f736204, 0xdd54d30b, 0x9b539431, 0xc585fdbd, 0x16b5fdbd, 0x6eac6afd, 0xb3e3be8e, 0x514eeb37,
+    0x9e351ba0, 0x5c3650ad, 0xc8dbfa5d, 0x3441969d, 0xd107c76b, 0x34972050, 0x7c1270e7, 0x63c4897d,
+    0xa802ecd8, 0xdca7e517, 0x39cb107e, 0x41756b40, 0x8a3a0185, 0x6ce1f8aa, 0xcdaee737, 0xd7f07bcb,
+    0xfd5b7e4b, 0x19a154a3, 0xaeb0a2c4, 0x4bf6b7e2, 0x105dabc2, 0x4dc6ed37, 0x6e9268f7, 0xe9ac5910,
+    0x849c86a8, 0xd937fd3e, 0xe52fb629, 0xf9c0f63d, 0x92988292, 0x9fd2383f, 0x1777c8b1, 0xa51d60d5,
+    0xbba4f340, 0xc8fb6e33, 0x78f43790, 0x284b80c6, 0xcd0cce2c, 0x40fb932b, 0xdee5cc14, 0xbfd4763d,
+    0x221f34b8, 0xeb6d6e63, 0x4825241e, 0x6dcb42b3, 0x1baacbb2, 0x2d1a40e7, 0xce160c58, 0xd42d19ba,
+    0xa2b18972, 0xc3adb303, 0xcf5e2fec, 0xc3b4bc3e, 0x406eed14, 0x46b58d00, 0x2aab39bb, 0x5733b287,
+    0x0e96b64d, 0x96cab41e, 0x09cb2940, 0x97d64e9c, 0xfefa649a, 0x749af6ff, 0x8097145c, 0x4793ac7e,
+    0x15733914, 0xcf3545aa, 0x15d40c88, 0x9a32a400, 0xa47aeae7, 0x8cd912b6, 0x83e93871, 0x5484f144,
+    0x65e022e9, 0x7c2996af, 0xbe6b589f, 0x7feaf68c, 0x50a568d8, 0x67c89fcd, 0x379eeeb3, 0xf4733f82,
+    0xbb8a0ead, 0xce3f62cb, 0xd3be102b, 0xbb82f585, 0x3aa93eaf, 0xcffd99bf, 0x04cfd2e1, 0xa2f15d02,
+    0xab830caf, 0x0333247c, 0x27c53a96, 0x79baabe6, 0x966946aa, 0xdcf0e8df, 0x6168e900, 0x840a52cb,
+    0x74bfc41f, 0x96abe139, 0xf809d2f3, 0x77121569, 0x53e225f0, 0x014045a5, 0x331048ed, 0xd7954d0e,
+    0xb3211eec, 0x37210d18, 0x3f48fbe1, 0x2b5074ff, 0x8ed16664, 0x0547cf4e, 0x2af421bd, 0xabeced81,
+    0xeef71401, 0xa826ffe5, 0x8ec076a4, 0x355c40e5, 0xdb864e12, 0xb0e7f005, 0x46bbe0db, 0x1b4ae35f,
+    0xde51b8d0, 0x4282a038, 0x0fc8fa85, 0xc2984b4f, 0xd5bf44cd, 0xcc70dc4e, 0x2e183d21, 0xbf1ad5e3,
+    0x3eb94140, 0xaa7bd186, 0xe9d2a87a, 0x09734a49, 0xcf62d6c2, 0x3d1bd62f, 0x26020bba, 0xf8587fda,
+    0xaf47799a, 0x4ba9998d, 0xbefea205, 0x2b45d786, 0xcd2466ec, 0x984a11c1, 0xa3fb819b, 0x95012132,
+    0x80dde021, 0xec9d0129, 0xf7d727d2, 0xc06947ca, 0xcb377c2e, 0xd27993b4, 0x05c5995b, 0x1998c001,
+    0x13fa8038, 0x11f2a0e6, 0x1ba34119, 0x7cb73f61, 0x9e083dc7, 0xdd8a5f16, 0xfd3f3f41, 0xb9b84219,
+    0x67c63a5f, 0xe8b9d591, 0x5d065410, 0xd20442ed, 0x37ab5482, 0xb6260a40, 0x882ba09c, 0x3fa5d2d4,
+    0x4fd2a8b0, 0xaa57d92c, 0x3f3c2e7b, 0xecf27cb8, 0xa8dd3a83, 0x71fca4a7, 0x2f8fe1f5, 0xb19a80e8,
+    0xeccf1902, 0x8b6b190b, 0x1dbde1d5, 0x31f7abc1, 0x58f47a9d, 0x370a7363, 0xa688a547, 0xd30cebf1,
+    0x0f31ba9e, 0x0850e4a1, 0xfce1ca39, 0x0d348a1f, 0xb6287aa4, 0x5ccc4875, 0x4f43481d, 0x48639973,
+    0x5c3b0dd5, 0xaa0fdb19, 0x5a9e471e, 0xdee0e7c7, 0x81b88920, 0xe4292715, 0x90c268cd, 0x8a113cc6,
+    0x6cb5e85c, 0x4cb38ffb, 0xafe37617, 0x3a17acb7, 0x968696ac, 0x15861d95, 0x26dbacd1, 0x693b37ee,
+    0xda2058d2, 0x89c88347, 0xa6132b25, 0x21a34041, 0xa938527b, 0x13dedfb6, 0xad12b15b, 0x5517234a,
+    0xd80fb5b5, 0x578b9fea, 0xfd1357ba, 0x2ab450cf, 0xa59a15a3, 0x08b5f1ae, 0xe1693143, 0xa2efbb09,
+    0x77bec3eb, 0xea0e294d, 0x0d86818f, 0xb0f2d4bc, 0xdab9956d, 0x9c184077, 0x1d39dbd4, 0xe0f921d0,
+    0xd6f34a36, 0xaf440dba, 0x26cbf7f4, 0x61136b0d, 0xa0df86bb, 0xd7b99157, 0x7d3be8cf, 0x8c4cbbdc,
+    0x8de3ade0, 0x19437498, 0xd178aa2c, 0x05b74aa9, 0x4a079ada, 0x29180e5c, 0xe36287a6, 0x97b50352,
+    0x866038ba, 0x5f6ac6c2, 0x9640b365, 0x7797206f, 0xd30d2797, 0xa65e49e1, 0xac5e9ba3, 0xe33cde95,
+    0xaffe1b1b, 0x41a3d236, 0x2d864ad1, 0xb686ac75, 0x9a06ba5e, 0x8d56d1fc, 0xd63956b6, 0xbe5237e9,
+    0xf078f387, 0x351fd3a9, 0xfb7502f6, 0xbf358e40, 0xc69676f3, 0x0a1d385a, 0x7f18689d, 0x22719ea2,
+    0xb3fc253b, 0xfdcd77f0, 0x174872e8, 0x27bcaffd, 0xd6bb18bd, 0x7e4c4885, 0x5d6244ba, 0x4585323d,
+    0xf86a59e8, 0xe57ef60a, 0x1204a21a, 0xd6fae148, 0xda4d4125, 0x29e39e5e, 0xc908ffa0, 0x30f5c397,
+    0x475dde0d, 0xe1870b1c, 0xa56452bc, 0x2d4639f1, 0xb6780f84, 0xbe45aad1, 0xb2b9feff, 0x8de97b12,
+    0xee172c3e, 0x59c7aa21, 0x8bad421c, 0x6bd72187, 0xea96ddaf, 0xcaebd8d5, 0x1317ef5c, 0xbb41125d,
+    0xc6225a28, 0x8f5e8c70, 0x9e41906e, 0xf3db9cbc, 0xff96e7c4, 0xc4868465, 0xb30cda5b, 0x9d2cab37,
+    0x188c12f5, 0x076f5062, 0x244f2855, 0x0b7beec4, 0x3001779b, 0x122fb72b, 0x550ffe19, 0xc3e6e11f,
+    0x308c2722, 0x393c9433, 0x7fb56649, 0xb997cf99, 0x031aa075, 0x72bd1f7b, 0x6236c3a4, 0x80c54747,
+    0x84427d93, 0xf5a22e66, 0xd33cd4e5, 0x9f2e4d75, 0x1076eb37, 0x8321a243, 0xe7c3443b, 0x617acb63,
+    0x0eecc410, 0x0430b297, 0x6ae1f46c, 0x07f55e86, 0x37f7c54f, 0xbe932a44, 0x82a50a06, 0x58d508fb,
+    0x3be9a1e1, 0x2d7097d6, 0x0cb57b5c, 0x97a83fe9, 0x98a6a9f6, 0xa616cb04, 0xc499f9b4, 0x9e3daf2a,
+    0x53574e84, 0x0d370442, 0xd9c57420, 0xdb3388ef, 0x28da07b7, 0x247d16ab, 0xd3674b42, 0xb44993af,
+    0x654722af, 0x3b02f8d5, 0x63d7a646, 0x9c5c6be5, 0x2ad9bab5, 0xd49f068a, 0xf2d1a75f, 0x56c84bdc,
+    0x81bb2423, 0x7d1ae9b7, 0xffbf2a16, 0xa97acfa7, 0x4dbfc90d, 0x1fbdb279, 0x5a0da85e, 0x482ff7d8,
+    0x77d3a689, 0x46fe7e11, 0xfbeac622, 0x73f0b45f, 0xedf6bc03, 0xd1575229, 0x7c3e5063, 0x7c3fb7b7,
+    0x80ad8b8e, 0x55d35fe7, 0xe5bbef55, 0xe5c41ac4, 0xae2c3328, 0x57a1e541, 0x079f492b, 0xbe1ba051,
+    0xa1e6f4f0, 0x1ea18be2, 0x18718d95, 0x32fb6e96, 0xa9be2957, 0xfac7f80c, 0x9794396e, 0x826fb67d,
+    0x66b7f452, 0x02190d9c, 0x8e0fa749, 0x4bc49bd1, 0x0912b22d, 0xd49dbcdc, 0x85cfe877, 0x7c77dd13,
+    0x81377129, 0xb0494608, 0x3551393a, 0x990ae0bd, 0x7df9ff22, 0x4897202d, 0x570c75fc, 0x78dfa625,
+    0x10f90588, 0xe08c59e5, 0x0705a135, 0xa795593d, 0x3fb22e5a, 0x0e892080, 0xadc9c6c1, 0xbce2f18b,
+    0x4eabbb6b, 0x79b8a722, 0x49294fc2, 0x5f58eaf5, 0xcc121633, 0x966b76e3, 0x1f788cd3, 0x5c59d9de,
+    0xa57d8497, 0xe99681e0, 0x8ce6db98, 0x080581e8, 0x90f38c2d, 0xd00f7ad4, 0xed507a46, 0x54039714,
+    0x6f571da5, 0x55fca760, 0xba47a88b, 0x422b6b37, 0x62e4e547, 0xb8a9c0d2, 0x97c42032, 0xd467480a,
+    0xcfa87956, 0x3b66dbc8, 0x9f2c1f38, 0xba5d654a, 0xe67b14f5, 0x6e9e2da3, 0x22418e62, 0x560cbea6,
+    0x2c3ee5d6, 0xadab1a91, 0xda4b2b34, 0x84295a4a, 0x16cd5570, 0x476cf78b, 0x1f6be7a8, 0x2d76e95a,
+    0xb373fa80, 0xa4bc01a4, 0x6b844d4b, 0x13805a44, 0xf572eec4, 0x430af92c, 0x9ad75712, 0x45256343,
+    0xb55832b4, 0xc6fbee7c, 0x2661fb22, 0x46cd6a19, 0xf1fa02fe, 0x94c31f40, 0x8a00a46b, 0xe2376fbd,
+    0xedf81e78, 0x552e4155, 0x2d866908, 0x29a04710, 0x9c72044c, 0x3eab3e6f, 0x13fea98f, 0x56e22ecc,
+    0x68b79d16, 0x7835f0d3, 0x06e8801c, 0xd80121c5, 0xfecf4414, 0x970db06d, 0x62f8afc4, 0x4b68c46b,
+    0x80c6e7a1, 0x01b9f0e2, 0x75195424, 0xb1be2f7a, 0xf4f0a122, 0x54618121, 0xf9230d73, 0x9e1a7937,
+    0xfa898414, 0xbc67dac3, 0x579594a5, 0x75155c14, 0xdd416e4d, 0x63c24427, 0xc6a758c3, 0x9585d392,
+    0x9fcebc49, 0xa42abd5b, 0x2f443a53, 0x1081c3a2, 0x20ee4f91, 0x8c18593a, 0x38f27ee4, 0xf39e1d01,
+    0xf7cdb9cb, 0x76f6e7da, 0xa67f1bd6, 0x37c49986, 0x1ac60dd9, 0xe7b6e9d7, 0x7116360e, 0x719cccd4,
+    0x42b26066, 0x99edd25a, 0x4dc7b7f6, 0x6109b98f, 0x9e79941a, 0x027fc608, 0x645882af, 0x9fa34b24,
+    0x3c6b6141, 0xda287335, 0xfc54a459, 0x14d0503c, 0x40fc2920, 0x0e9cc7cf, 0xda69d1ca, 0x6dd6f99f,
+    0x16842447, 0x1de5ebf3, 0x79bef197, 0x7096b724, 0x39e9b262, 0x4bd17da8, 0xa6ba114b, 0x059fb859,
+    0x0eb625e9, 0xaf538eea, 0xe18eee4d, 0x71e9f834, 0xb5daba72, 0x59fd74d5, 0x1a7fb23b, 0x77f89c2c,
+    0x42409aed, 0xd8376d0b, 0x9e6a5940, 0x4cde20ac, 0xfa5ef5c6, 0x4b904777, 0xa661fbf7, 0x095b6a9c,
+    0xf49c01e3, 0xbed3c292, 0xb05100ae, 0xfa9ef6b5, 0x394ea825, 0x8d3d64e7, 0xb647c671, 0xcaa8fd69,
+    0x7e41ae4f, 0x3454d7bc, 0x4e1969f2, 0xd0a51781, 0x758db15f, 0xd06758ec, 0xf800e660, 0x5b347b6b,
+    0xa14c78de, 0xa3729733, 0xdd9aa327, 0x0795e29d, 0x1856e18d, 0xe783b3de, 0x2eb0602f, 0x11c60489,
+    0xe1654e4c, 0xeefaa45d, 0xa578b60a, 0x58e00c5f, 0x6db71eaa, 0xaa17123c, 0x10c0dfd5, 0x67a74883,
+    0xe1782498, 0x26fcd36c, 0x34460c1c, 0xf2f91cb4, 0x9623b734, 0x7a52436a, 0x5f237a37, 0x603fe826,
+    0x28b48d75, 0xd1096620, 0x5e519fd6, 0x75d567db, 0xe6b56ea8, 0x43946716, 0x2cb56534, 0xc79c06ba,
+    0xd52e16df, 0x170d4fb8, 0xc4a89cfe, 0x9e485fb7, 0x8008df17, 0x7ddb409a, 0x05c48aea, 0xd3d4424c,
+    0x4ffc0f55, 0xab61e4d0, 0xbbbae4f2, 0xb6cf38ea, 0x38e68e94, 0xb9a42c3c, 0xe22a5841, 0x05ae07df,
+    0xf1ee4c3d, 0x715af55a, 0x90a213ac, 0x9885627b, 0xe74f4cfc, 0x0fe81740, 0xba841a66, 0xb8df3d71,
+    0x9ea4e828, 0x4026665b, 0x4c1e6f6f, 0x8adf8328, 0xc87b7a9d, 0x580b2d7c, 0x48c2ff00, 0xb84ec98b,
+    0xfaf293ec, 0xf081445d, 0x66d7213b, 0x634092ca, 0x05d1cb67, 0x05d7fa6c, 0xfb0c777a, 0xe9abf487,
+    0x8175f557, 0xd20e7293, 0x66cae312, 0x4f1bfa39, 0x09536299, 0x2d751f17, 0x0c1e8698, 0x05023b91,
+    0x1a2849b7, 0x3ab86531, 0xf6385b40, 0xb2922580, 0xa4bc7d33, 0x847caa0d, 0x2808d73d, 0xa6ece508,
+    0x675c14f0, 0x15d850ac, 0xc6e2a71b, 0x7cecaef3, 0xf456fa29, 0xd3ed4a3e, 0x155e98b2, 0xac80d738,
+    0x4a02bb49, 0xde5c4d8b, 0xa89533ed, 0x09e52ef1, 0x196e40b3, 0xffefd73f, 0xd064ecc4, 0xcebfbff2,
+    0xb8d5b57d, 0xef378556, 0xc93dbd60, 0x3e1771f1, 0xfa92ca59, 0xf28fd4b5, 0xe5f502bc, 0x99278507,
+    0x61ac508d, 0xfb9e8a3b, 0x66ddae31, 0xbc3b26c8, 0x709127f5, 0xf01322c8, 0xcce98920, 0xa59fd103,
+    0x5bed5549, 0x4d408c64, 0x73fdc100, 0x3a73d072, 0x43637b06, 0xae125d35, 0x689a536d, 0x578fcb2e,
+    0x33da79d7, 0xe1737a34, 0x8275d789, 0x69abe840, 0x68f5672b, 0xbf1b08db, 0xc2b4478b, 0x9762cbd6,
+    0x40b0242c, 0x6b58c621, 0x5b44a04e, 0x04e47113, 0xca78a44a, 0x6a3536e9, 0xe00d33c6, 0x416ec68e,
+    0xf4d982c3, 0x8e38748a, 0xffbd8292, 0xaea0f716, 0xc37edb75, 0x97c36330, 0x3f7476f4, 0x988da6aa,
+    0x9f1b7fda, 0x07c8e60a, 0x3bcac8d5, 0x28b13047, 0x1e8afb81, 0x6ffc4032, 0xa6f292ef, 0xf152d573,
+    0x9caddd40, 0x7da321f8, 0x1420368f, 0x3745af33, 0xeac16333, 0x154fd910, 0x7649deec, 0x722503b5,
+    0x72461c6e, 0xebae011c, 0x5cdcf6b5, 0xdf56d69d, 0x88a14c79, 0xe06699fa, 0xb59a7b9b, 0xb57e8fc0,
+    0xf870f742, 0xe266c91c, 0x6b1f381f, 0x500e2f27, 0x1cdd1f4e, 0xcc795a86, 0xc93bc411, 0x7118cd0e,
+    0x84d26839, 0x27e5f9b2, 0xa67520fa, 0x92eaf6ee, 0xa91eb123, 0xad72bec6, 0x3ae771b6, 0x6dc9c37e,
+    0xecf31c1b, 0x71c659f0, 0xd3fb57a7, 0x91e44c31, 0xf13ea142, 0x0f7a85af, 0x395049d8, 0xf934c45e,
+    0xa9ba52bb, 0xcc048af2, 0xcb7e4c36, 0x66171453, 0xd8291858, 0xfc2247a7, 0x237dd4f8, 0x170df7f4,
+    0xa0c4e7fa, 0xf05d7bc6, 0x0d403999, 0xc8744ca2, 0x9d814fb5, 0x8e53a7ef, 0x4c06a43d, 0xe8c0ea3d,
+    0x203694d9, 0x0edef227, 0x4660d431, 0xaa148864, 0xf0c6ae62, 0x3d2d6902, 0xf1762653, 0xc3f33860,
+    0x0c49b495, 0x987369c5, 0x54be2944, 0x0b86e615, 0x82cc59e8, 0x3175a10f, 0x98dc561b, 0xc5b17a85,
+    0x62493558, 0xe1527c34, 0x6f6392ae, 0xd538080b, 0xd935997e, 0x32adb073, 0x92a5156d, 0xc183981e,
+    0xd6457846, 0x8d06ec85, 0x7f05315a, 0x090aa0a2, 0x4e141287, 0x7d42a96e, 0x2bcc12f7, 0x0083a93a,
+    0x15822b2d, 0xe58dd27e, 0x4e075f8b, 0xe7fb5a54, 0x545bb683, 0x5f35d5ba, 0x9f7dabe3, 0x57ca592f,
+    0x0e10b2e8, 0x9f2cfba7, 0xadd9812d, 0x67029020, 0xe5d9ddd4, 0x5959cb56, 0x920c5c4d, 0xa45f9058,
+    0xa4b1c108, 0x28ea001a, 0xb79ebcee, 0x4c5dcf34, 0xe161b371, 0x00e6b425, 0x021de6b3, 0x5dd815d3,
+    0x5b2f4a38, 0x16dcf948, 0x7a341945, 0x8e568038, 0x0dab7c33, 0x7d73d871, 0x9083deb2, 0xec5bb323,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000046970851655476664557789611935786\
+                         74054751365097816639741414581943064418050229216886927397996769537406063869952 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36,
+    0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020b, 0x9e167419, 0x943f7a77, 0x547ce8f8, 0x92faad8d,
+    0x00000000,
+    0xd07dec3a, 0xb7807882, 0x88e75137, 0x8e7d50b4, 0x20af0c3d, 0x53fb026e, 0x22ecb2d6, 0x22c28abf,
+    0x1b8146bf, 0x20ecfe04, 0xb93f0f67, 0x137ac8b5, 0x1b229223, 0x95013e63, 0xbef96545, 0xed9bfdf3,
+    0x5a5377f2, 0x1530ed1e, 0xbd9676ce, 0x6fb82d39, 0x634f7a53, 0xb616c157, 0x4dd10b85, 0xf0efe272,
+    0xefed5fd9, 0x8fdbdb91, 0x2ae70377, 0x8c60bd26, 0x6d27a5c8, 0x9dff5645, 0x34c59e78, 0x39e74d82,
+    0xf465c4d9, 0xc438da00, 0x5fc6ece1, 0xd0fa4b02, 0x1e7d3dee, 0xa3badee9, 0x51fbd351, 0xa211be26,
+    0x729462d4, 0x3d1add98, 0x90743323, 0x0f2703cb, 0x6a4c30e9, 0x1c01f99c, 0xc4aa357f, 0xdfd235e3,
+    0x8a1b493a, 0x8d7f674e, 0x6a8c8530, 0x4cc4cf60, 0xdf48b815, 0x41f44ccb, 0xe65b4763, 0x988bae79,
+    0xebde66ea, 0x1983dd54, 0x55671811, 0xfbad4a4a, 0xb2d3c76a, 0xc4460352, 0x72ee8176, 0xc29043cd,
+    0x27f255c9, 0x371e3920, 0xd735458a, 0xd7df611a, 0xbb6db960, 0x41cf433d, 0x8239490b, 0x00aada8b,
+    0xcd7ebdd0, 0xa2f1bf67, 0xd8a558c7, 0x2c78f2cd, 0x18113001, 0x5b1ae133, 0xfad3ce1a, 0x5c55cbde,
+    0xda7eae68, 0x288ea2df, 0x95d935dd, 0x6686e662, 0x13e032c6, 0x66c9ff31, 0xa4ebf473, 0xa289cb4e,
+    0x9648bf82, 0x57172d60, 0xe52cafa7, 0x80377535, 0x54e73c71, 0x4378c089, 0x1fb9e0f6, 0xcb2e2c36,
+    0xee2bc688, 0x72951cde, 0xf9e5b102, 0x66bbe2dd, 0x5198c6c1, 0xf25ab561, 0x2d39f23d, 0x2715273d,
+    0x4c4e5ed3, 0x1af40f68, 0x40775fec, 0x5b2ecb6e, 0x9b6d5be7, 0x880a9935, 0xcca337fd, 0x42f56c42,
+    0x379ac683, 0x87192ad8, 0x853f41cc, 0x70cf49f0, 0x6daf20eb, 0x9e9ea4b5, 0x5cbd2e5b, 0xe213f659,
+    0xbfb5786f, 0xed988600, 0xafe89107, 0x8b76d7f0, 0x94e61e91, 0xad907503, 0x70a36273, 0xa4c209e0,
+    0x1de29e9d, 0x9f68f218, 0x5f805d25, 0xf21f0434, 0xb39bc31e, 0x24e7479c, 0x033b37b5, 0x0f845361,
+    0x1b7801cb, 0xf3e99fdd, 0xdea92233, 0x0ca65fdf, 0x8f2cb42d, 0x2641cac0, 0x3b1f5a78, 0x211a6900,
+    0x7b28346c, 0xa769f8e5, 0xdf7fab3d, 0x347aa107, 0x17d51e4c, 0xfd613dde, 0x95583185, 0x93f81468,
+    0xb2f8a904, 0x49a985c1, 0xf5e3b497, 0xce28be60, 0xf9e06598, 0x68596f3f, 0xee422923, 0x99f5476d,
+    0x4b9d015d, 0x398f6d07, 0xf5a458e0, 0x5dd539b8, 0x878914d7, 0x7d0aa29c, 0x6abe3d43, 0x39b28e2b,
+    0x5745bd43, 0x6129063e, 0xed61ec4b, 0x833246b6, 0x945d0822, 0xcf3b56c5, 0xa984d1e7, 0x0ca6636d,
+    0xb1b81ec7, 0x360972e4, 0x7007dd60, 0x79813024, 0x26510de1, 0xf99d37c3, 0xb1009a89, 0xfde51cc6,
+    0x9569deba, 0x3e8210d0, 0x87eb2a83, 0xfb21eaad, 0x0bdaeacd, 0x9aea938d, 0x89715e21, 0x4d2f5c7f,
+    0x7b50ee2b, 0x85b3e813, 0x26e767ac, 0xe850abda, 0x15de448c, 0x7fe8aec4, 0x22cbf796, 0x886e1f69,
+    0xcfed02d4, 0x33c1973a, 0x08e0d66b, 0x67d9ad36, 0xe5e21935, 0xe598336f, 0xd68989d5, 0xfa0b0a18,
+    0x8c7d5e5a, 0xf7e9ef67, 0x762412d5, 0x8a1e79c7, 0xb98b629a, 0xd7540702, 0x34a3bb70, 0xdefbba28,
+    0xbb0d19d3, 0x51b4ecb9, 0x2e07a6a3, 0x774595ad, 0xa58e5af8, 0x266723bd, 0x83445591, 0x2fd12f54,
+    0xbb493f13, 0x87de7c7d, 0x41671932, 0xd6788829, 0xe053eb44, 0x1015098d, 0x454cccee, 0x997072c8,
+    0xd4f205ac, 0x50a3e12d, 0x8a5d84ee, 0x18002ca2, 0x142c3d7c, 0x7812f842, 0xda24e81f, 0x3a83154b,
+    0x7d0e10dc, 0x1f47738e, 0x0874dd41, 0xd78f2de7, 0x8b37969e, 0xb080ecfc, 0xd3f54834, 0x0dc998e2,
+    0xd016c53c, 0xa23e6b81, 0x2c379bfd, 0x7422a077, 0x4434d2a2, 0xbda74f2a, 0x4034bb6a, 0xd7038b91,
+    0xad38ec9c, 0xf57c13ab, 0x3a074544, 0x8b756ed3, 0x778bacf5, 0x6bc96cad, 0xdd03ebac, 0xffe19208,
+    0x78543a6a, 0x29d4e01a, 0xd7fad1fb, 0xbb69fa99, 0x2ea56f98, 0xe131e5cb, 0x9497a7ff, 0xa543a84f,
+    0x75b0f93f, 0xfb992147, 0x030b02af, 0xbd47e76c, 0x4e3ce404, 0xfb182e48, 0xde8d200e, 0x92fc1d18,
+    0x0757370a, 0x219dc7b0, 0xb7895650, 0xa0a1f4b3, 0x4f89491f, 0x6ceb4394, 0xfc3e33a0, 0xe933bf5c,
+    0xece63eb2, 0xd55abe86, 0x735ad207, 0xe0752642, 0x8b5a1727, 0x862482fc, 0x0763b011, 0x74c12977,
+    0x5ced7d98, 0xf094a464, 0x76366e06, 0x29cab25b, 0x931bb101, 0x75a6021a, 0xb599dee7, 0xdb3f2a70,
+    0x61340c96, 0xce0c17a6, 0x14393645, 0xf1d22581, 0x0403cd46, 0x203bcf7d, 0x27f75e2e, 0x8686beb4,
+    0x52c1d0bf, 0xb6d5e5b7, 0xf012fbf7, 0xbe75ac1b, 0x2ee3c4ce, 0x6613533f, 0x33f2d328, 0xdea19b88,
+    0x82d325e3, 0x266124ec, 0x7bafebc9, 0x9124a95e, 0x49f39695, 0x3c8647f6, 0xaf11b72a, 0x770c802d,
+    0x7a2a4bf1, 0x18448c60, 0x9a1dbea6, 0x9b4114be, 0xd48566ed, 0xced26db7, 0x5faf4a61, 0x1f2c63da,
+    0xae9c7029, 0x318eba5a, 0x004f6ff9, 0x4e2cb340, 0xb33ed266, 0xb9ac0560, 0x0d8f4789, 0x0fd0b02c,
+    0x7e335708, 0x2ab0c3e5, 0xfbf02148, 0x8857b934, 0x17775a63, 0x63f7a765, 0x39a63e8a, 0x1b372bf1,
+    0xc74bf98e, 0x4243a97b, 0x49e4af2c, 0x26d57945, 0x781eca5f, 0xa4858e1a, 0xdfa158a9, 0x4351defd,
+    0x850d9542, 0xce345767, 0x1fa9cb44, 0xc1214d4f, 0x9653f19c, 0x12783c33, 0x4b6b6d35, 0x5d50f4c3,
+    0x6b000c67, 0xd0e2d0c3, 0xe40674aa, 0x4ae2d9bc, 0xa1e01d67, 0x97d961ae, 0xd7e7423f, 0x36955e17,
+    0xa3547f99, 0xaa1fbebc, 0x94d16d3e, 0x9eddc294, 0x55fba741, 0xb8f38bdb, 0x0144af35, 0x124729a6,
+    0x894edb76, 0xb239b99f, 0x0634b35f, 0x43989b57, 0xc8bd6a0f, 0x8397dddb, 0x30aaeb40, 0x065d9bcf,
+    0x9e82aaec, 0x921a4282, 0xad29dbe1, 0x9b196b5e, 0xc471a380, 0x5aff5aa8, 0x10c18345, 0xc168b309,
+    0xf26233e6, 0x2f79bf92, 0x5704877d, 0x4c3b6d0c, 0x276634af, 0x50c9b937, 0xfb8d5985, 0xa869b9c7,
+    0xc5326940, 0x818f23a4, 0x6b92588a, 0x167c6f5a, 0x3b484fc6, 0xc62315ae, 0xcc6f2209, 0x07f2dd39,
+    0xa87c405b, 0x542d9363, 0x0ac8da64, 0x208c5226, 0xb247e750, 0x456dba5c, 0x76ef2e50, 0x8dafaaa3,
+    0x6822c500, 0x8c80b0ee, 0x48f2a354, 0xf48f0fc7, 0x867d5803, 0x21b2be26, 0xd9db0d37, 0xdbfa1a9a,
+    0x2c4a47ed, 0x9a627690, 0x9e5e2dd4, 0x58a72c7c, 0xbcfa84aa, 0xbcb715b1, 0x27f87328, 0x47ccb0fd,
+    0xdc4b38fb, 0x10f7faa8, 0x7819a915, 0x0c23cc25, 0xd8c913a5, 0xd4e27730, 0x651a4279, 0xe9938ddb,
+    0x92531056, 0x8d2a1947, 0xc24454a6, 0x101aeee5, 0x7aee0764, 0xd1e85541, 0xe35b762f, 0xbb5101ed,
+    0x7299eb4d, 0xb19f3ab9, 0x1e4e53ab, 0x0709d02d, 0x1fa5eb4b, 0xf142d3c4, 0xc05bff82, 0xd0d5fb01,
+    0x585354df, 0x58394c4c, 0xa9d0726d, 0xe871ed7e, 0x51bdda6e, 0xc26a2724, 0xc69bd27a, 0xf34db7aa,
+    0xca83c98a, 0x8ffaa88b, 0xd6bc5cab, 0x546804c8, 0x16fd6bae, 0x32fbea72, 0x2a084cd6, 0x7962d90d,
+    0x6e2222ab, 0xde42521b, 0x9e004f72, 0x83b86886, 0x3fddba3f, 0x320021e0, 0x39da8216, 0x56250522,
+    0xb783faa5, 0x9ee04757, 0x27c3ddd3, 0x5b785110, 0x528ed2ca, 0x75b9a703, 0x2e1dd174, 0xac02e727,
+    0xc49567cf, 0x32d5805c, 0x75e004cf, 0x1f5d6c1a, 0x0d61be72, 0xbd11ac51, 0x3dbd10b8, 0x62fddfc9,
+    0xb47a6adf, 0x8ad0b717, 0xf24e5a69, 0x403ac950, 0x9a05de52, 0x85e8f12b, 0x69ea2a76, 0xbb6e4d49,
+    0xc920734a, 0x19c87c12, 0x666c8d35, 0x2562aac6, 0x576822c2, 0x63b1d88f, 0x2060fd78, 0x8fcbfb3c,
+    0x7a0c1ce9, 0xf4b854b1, 0x49f58b40, 0x6d9808a9, 0xafcf5b95, 0x26de4ec4, 0x84fc7c6a, 0x5e0fc8c8,
+    0x8eff63cf, 0x87472cc5, 0x84d4d4a8, 0x8809df00, 0xaa1e8c5b, 0x62b1ab19, 0x2525aa3b, 0xf10874e0,
+    0x5b6fd286, 0x38896b24, 0x50370882, 0x95cab6fc, 0x3c4092c2, 0x531cfe53, 0x2c8f305a, 0x71618189,
+    0xf6f00b91, 0x609ce4ec, 0x9c9801f6, 0xb95ea307, 0xd78abaab, 0x3e2f82cb, 0xe39ddc02, 0x5556e699,
+    0x88642673, 0x7240c185, 0x72096b92, 0x8869fc5b, 0xb4fbb260, 0x7e1115f9, 0x6064d722, 0x49c2816c,
+    0x7316f423, 0xb642ad3e, 0x31dd3f4c, 0x49a106b9, 0x3a0ee85e, 0x87122d26, 0x3fb0849e, 0x53f547f8,
+    0x1e70333c, 0x3a2df3f6, 0x6088c367, 0xc3587f91, 0x8b518663, 0x94865a49, 0xc5fbccbf, 0x06d4fe4d,
+    0x84592729, 0x98cc691b, 0xfeca458d, 0x14027254, 0xb60d2da6, 0xbb16ffb5, 0x506d2f50, 0xdab9d132,
+    0xad7627a4, 0xcce02d9b, 0x76f3ed21, 0x6c9d855f, 0xa9104826, 0xdd470811, 0xca25a02b, 0x483c1b04,
+    0xfd964afe, 0xcef462aa, 0x44e3d751, 0x7931cfed, 0xa3fbaf3d, 0xee8fbb9e, 0x8a0e41bd, 0x56b83a2d,
+    0x41819741, 0xc0c867bc, 0x06edad77, 0xbbb19aff, 0xab949036, 0x5cb509d1, 0x1c1b0aeb, 0x40c5de6e,
+    0xe22c25c1, 0xa2557b98, 0x80937498, 0xdcbff932, 0x94369f15, 0x8dca60a5, 0x8bdf9c83, 0xb177a504,
+    0xecadbebb, 0xa28f80ff, 0xdc9433b9, 0x07938ed6, 0xb6f5ced2, 0xf4ab297a, 0x25bb14da, 0x97f11281,
+    0x92d2c630, 0x8ab23b38, 0xb27ef681, 0x91f3c8e6, 0xd69a6f5b, 0x183081bd, 0xe194f7fe, 0xe00e804d,
+    0xf12bc15b, 0x511a3073, 0x49f92fbb, 0x22d7b11c, 0x06a23141, 0xf0d45546, 0x50261f55, 0x0ab85d55,
+    0x5fd2abcc, 0x18294b53, 0x23004f11, 0x00f82800, 0x3436e07e, 0x07640a7d, 0x5cd9a468, 0xe28d7979,
+    0xe42638ed, 0x32958635, 0xc7e503c1, 0xb6b677bb, 0x8094d5ba, 0x03fc6e0b, 0xee6ab744, 0xe8372227,
+    0x0cc82a0a, 0x76fca56f, 0x9e9ea056, 0x79b7d61a, 0xeb843901, 0xab531175, 0xa53ae719, 0x02507646,
+    0xebe42053, 0xc4380e5d, 0x4f64c2a2, 0xe3c3eff8, 0xa848d6ab, 0x73600dae, 0xf6867fb0, 0x1475765d,
+    0xf4e943e4, 0x84eb389b, 0x1cb76388, 0xab8aec41, 0xf46ba612, 0x6130173d, 0xb1f50424, 0xc52a4f37,
+    0xc74abc29, 0xc5fcad78, 0x0a0fcdb5, 0x8aeaabba, 0x367f711d, 0x7c352117, 0xa0e2a8e4, 0xe0808e34,
+    0xae5455f4, 0xf769684f, 0x2c609975, 0xa5ab948f, 0xf7602cc2, 0xbef56943, 0x12fe6259, 0xdc63fee2,
+    0x03b8dca7, 0xe1cda253, 0xbc8d5cc5, 0xc68e0edd, 0xbbd55a09, 0xd89b878e, 0x9bb6496b, 0xb1bd4deb,
+    0xadb344b3, 0xbdb27aee, 0x8fd67de9, 0xbd519c4c, 0xfce4a97d, 0xedd9d10d, 0x0c184502, 0x3076fa8d,
+    0x2508fdb2, 0x0c6bfb60, 0x68818d70, 0x6a2cc942, 0xf6ddf6ef, 0x989dca87, 0x34a4acfa, 0x11b67916,
+    0x43aab7e8, 0x7e678f57, 0x89fb34e4, 0xef1ee20b, 0xa2775f57, 0x986475e2, 0xfab15fe2, 0xc3a8025a,
+    0x9dc1126d, 0x42d3536f, 0x74785253, 0xc50a1453, 0x6fd14fce, 0x8a2ea103, 0x93cafc97, 0x96dbbd5e,
+    0xe1c804bf, 0xeaa0655f, 0xd7368f31, 0xf99c5f83, 0x12a147d0, 0xd8a6b709, 0x5bb5b5e8, 0xbcf9ab1e,
+    0x96d22cc6, 0x2e86b4f7, 0xc1d571f6, 0x0c2499b8, 0x7860a213, 0x066043c9, 0x9c7b2060, 0xcc08062d,
+    0x8856de13, 0xb22c1a96, 0x70ce02c7, 0x4bdb64a9, 0xb23832e3, 0xdcdb68d4, 0x3dc5ed9a, 0x1271500a,
+    0x06491bdd, 0x5bf6fc5e, 0x09ad9ab0, 0x9df98a32, 0xdc33d469, 0x43e927ca, 0x4326189f, 0xcbd6b4aa,
+    0x9967ba75, 0xc8428403, 0x0cc45a14, 0x6f70e5ce, 0x03bfb841, 0x7fbfcf7f, 0x020ec2d0, 0x52daf7d2,
+    0x1424e052, 0xe9dc1160, 0x312ecdb6, 0x0960ada1, 0x6e0c9609, 0x370e26b1, 0x4d73a26e, 0x98dfa41a,
+    0x41487702, 0x4e6a4ab2, 0xc993a353, 0x60241ef3, 0xdc82c6e8, 0x97e9aab6, 0x349ce079, 0x83a3a863,
+    0x45fda6b8, 0xdf2c255f, 0xa6896f68, 0x2291206b, 0x4bba43b8, 0x71ac8b2f, 0x9ba0b99c, 0xa97db37d,
+    0xb5b72176, 0x3c033c20, 0x4e68cc75, 0xa7e989a7, 0xc1abc3ab, 0x03e57699, 0x9876bbb3, 0xf218c5e5,
+    0x2d14a8d5, 0x385839c7, 0x5bec5c19, 0xaa5b0c15, 0x04d82129, 0x23839b43, 0xa9d3c297, 0x93ea3cba,
+    0xa8249c7e, 0x7d3a7f3b, 0xa50094a1, 0x2241259e, 0x2cdfacc0, 0x0bb57dc6, 0x0b7f5b1a, 0x25d697ad,
+    0x6c14a584, 0x6fb66285, 0x77a8fc8a, 0x1e06b109, 0xc95550a0, 0xe7aa7858, 0x379150be, 0x35c11405,
+    0x637ffb31, 0x52f319cb, 0x4d8ec4b8, 0xb128d69d, 0xd3dc0a27, 0xd74b8395, 0x4d0c707a, 0xef7a5d6e,
+    0x18e70119, 0x546d6cd9, 0x24514e61, 0xb1e62ab1, 0x55c10999, 0x738b8de6, 0x14b9f9e1, 0xc2049b19,
+    0x82ee49d4, 0xe33a349c, 0x656b2328, 0x876c168c, 0xdd444344, 0x91ea700c, 0x6868c141, 0x712b9a74,
+    0x356c5672, 0x3a4b4deb, 0x69a6cb90, 0x87a223e4, 0x9b8456c9, 0x5d5b7e40, 0x5cddae2d, 0x12e8f6bf,
+    0x7eb6fac7, 0xf70c6906, 0xae00e4dc, 0x746df12e, 0xfddd85ff, 0x41598b79, 0x94456299, 0x387cdf4b,
+    0xd8123491, 0xc4a1f05c, 0x20c75ee4, 0x4678239f, 0x5e5edae1, 0x876d1578, 0x7b492341, 0x0fdab1b5,
+    0x4aae716f, 0xc175e2e2, 0x3b521da8, 0x2030d83c, 0x4619fc08, 0xad545d1d, 0xd610311f, 0x4e88af94,
+    0xa49f5220, 0x0cb045d0, 0xc340e7ef, 0x00edc8b0, 0x3b28d56a, 0x2085c69a, 0xc93ca85c, 0xb0ea5890,
+    0x222ff6a1, 0x009cf81d, 0xf2664b59, 0x12e74052, 0xb607a9ef, 0x7ab1f019, 0x1a41c7ee, 0x4d06e3e8,
+    0x13094275, 0xc5dd55f7, 0xe62a41a6, 0x70c91563, 0xb13b3e15, 0x356a4d6a, 0x930842bf, 0xd9c40bcb,
+    0x704621fc, 0x2846a6ea, 0xe6da6fa6, 0x9a187cd0, 0x707ec188, 0xcee590e0, 0xa207ab31, 0xcce8c126,
+    0xd03e93cd, 0x9d0e4e08, 0xacd66c30, 0x32c5e9c4, 0xb15d0731, 0xe0c745ee, 0x3c555534, 0xb3851513,
+    0x90b26905, 0xa3894a93, 0x1c4717ac, 0x473ecc8e, 0x9e6cdddf, 0xaeb1ba47, 0x3c9963ff, 0x2c414c5b,
+    0x5778bec5, 0x9281a4fd, 0x217b09e2, 0xf7c0e668, 0xdc7b9ad3, 0xab1959a6, 0xabfcb424, 0xaa451029,
+    0xe468cd8f, 0xeddc4fb8, 0x894f3b5c, 0x342d3463, 0xe2ee5f4c, 0x5293dcd3, 0x3e817467, 0x097ff2ee,
+    0xb16fd165, 0x2f378d2a, 0xc95b030b, 0x17641b8b, 0x6bd7d14a, 0x4be0e773, 0x5b93492e, 0x136dc2b4,
+    0x0f1cf35e, 0x5f2fb8d0, 0xe64cb053, 0x9683f1f0, 0x6bcec9f3, 0x92c9ece7, 0x2661430b, 0x5950064b,
+    0xb065ae56, 0xcd669d4b, 0x86fc8cd3, 0xf9a48b2a, 0x20adf035, 0xf96ab4c5, 0xa6a47709, 0x6518bb0f,
+    0x83bafb1c, 0x95b198df, 0x1ee37a3e, 0x10298878, 0x9ca6d739, 0x07688140, 0xe9303d20, 0xca8f7bbc,
+    0x77b5a847, 0x2674dabc, 0xac20501c, 0x35887f22, 0x4796d737, 0x2704ad6a, 0x13e83689, 0x4bc208cf,
+    0xd11dbfc2, 0xe3040177, 0xe5166040, 0xb8539457, 0xfb19e8d5, 0x5f57fcc4, 0xda3e2433, 0x14be2b87,
+    0xf4656ce2, 0x659efc92, 0xcbdc6000, 0xc480fd22, 0x07e83f4b, 0xc7eaf38f, 0x1958f336, 0x98678bc1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000023485425827738332278894805967893\
+                         37027375682548908319870707290971532209025114608443463698998384768703031934976 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b,
+    0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590105, 0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747c, 0x497d56c6,
+    0x00000000,
+    0xa35c8798, 0x0b80fc29, 0x16fe7119, 0x42214be6, 0x5021f14c, 0x143b00b9, 0xa1d31d47, 0x6bd2dc26,
+    0xa49696ec, 0x3eec24b3, 0xc099c247, 0x1b5a7d82, 0xcab23cc9, 0xa662ae2f, 0xdf8c28dc, 0x22e89875,
+    0xff3ce56e, 0x73e53f2d, 0xdf0c599d, 0xc813f90b, 0x7bc6d925, 0xe057b23e, 0x76f3661a, 0x4c4442ec,
+    0x82af91d7, 0x47b07eca, 0x663da2fe, 0x52e6e0d1, 0x5b3c91fe, 0x1be18ba8, 0xe25105aa, 0x4a071a72,
+    0xead8520a, 0x1b4fb726, 0xf0b23d1a, 0xcb4b910e, 0xc524039c, 0xabde11db, 0xe8403de3, 0x8314ac43,
+    0x768c3ff4, 0xc6e75d4e, 0x0494ac05, 0x1741c32f, 0x5ae7aed7, 0xdaea4a59, 0x8d1754bd, 0xb8b6da75,
+    0x59a8fd91, 0xe1df0015, 0x00097b0f, 0xa485c6db, 0x1ae30a00, 0xab9a7093, 0xa8dd68b8, 0x7a113554,
+    0xbdda79df, 0x4bfb6c61, 0xf4e40080, 0x1851d0dd, 0xc021151a, 0x0467c9a3, 0xb7d62cc8, 0xc0d955bf,
+    0x7fc824b8, 0x7002d1b0, 0x9263433d, 0x76b543b1, 0x17b5ca7b, 0xb281135c, 0x3e557049, 0xbf3baba8,
+    0xfe54ca83, 0x7d4ee451, 0x7057b39e, 0x28358988, 0xf9f94164, 0x57135f16, 0x3ff11d62, 0x09aac144,
+    0x03f45f96, 0x157c24bc, 0x2c90ea71, 0xdeee9847, 0xf0a72440, 0x740b62bc, 0xb85e48a6, 0x54d8b6d7,
+    0xce39e542, 0x67e351fa, 0xa1882d9f, 0x7a1766b9, 0x79105846, 0xd52010f9, 0xe30ea018, 0x080084b3,
+    0xc9c9c12e, 0x079cfe4c, 0x155751a0, 0xe21f967a, 0x804eb697, 0x733f79e2, 0xa734f0e0, 0xb59f6c00,
+    0x371d40f8, 0xd62b48f9, 0x46b73629, 0xa345c70f, 0xb77edc82, 0xa782a88e, 0xd50bc458, 0x324d3970,
+    0x16c5e985, 0x2c74b3a5, 0xa35b6aa7, 0x57c3ac6b, 0x72a7a906, 0x5ada3abd, 0x74b6e3b4, 0xc098d7a1,
+    0x7430ccac, 0x349d868d, 0x4748c7f1, 0x34459b39, 0x114a09b6, 0xe9316b0a, 0x598f3b75, 0x59f04dcb,
+    0xc8642815, 0xe678a28b, 0xe1948e15, 0x6d431dd5, 0xe888933b, 0xef8c4794, 0x3b44227f, 0x0503019c,
+    0xe5e74076, 0x0b8bc0f2, 0xf9089438, 0x2d544ecb, 0x46d5289f, 0x84f757d4, 0xf9e75698, 0x8d3b47c6,
+    0xc892e12c, 0x959bac07, 0x52a0fc46, 0x29efe652, 0x796bde7b, 0xd4808fec, 0x252c4737, 0x2231b668,
+    0x4866f1b1, 0x5d03305c, 0x3d59b267, 0x7f9ea9d4, 0xf5446113, 0x2c29d10e, 0xd100c1ce, 0x897b52a7,
+    0x652205f6, 0xb2acbbee, 0x271b5dab, 0x0ae68709, 0xbf63ea3c, 0x4d29a8f4, 0xb5278d7d, 0x967758f6,
+    0xdb4411b1, 0xb668c701, 0x8825679c, 0x257d658d, 0x73affaa6, 0xc2042f29, 0x7f5a2fff, 0xa51846ef,
+    0xdfd92514, 0xdbf22e31, 0xe0e6f993, 0x8f868071, 0x4251d72d, 0x6d1bb04b, 0x40e5c72f, 0x715ba06e,
+    0x6f2bc530, 0xfc9e6f15, 0x64e5fa77, 0x08f02e69, 0x8e862477, 0x2e4bff07, 0x03d50202, 0xea14304b,
+    0x69289db4, 0x9e563314, 0xad09ab0d, 0xd4e7635b, 0x5e405a91, 0x25230a1f, 0x951f813e, 0x5c199127,
+    0x04895437, 0xe8d857a7, 0x7662cbf4, 0x00f78ed0, 0x7bfe0140, 0xf877c309, 0xea448a37, 0xa786842c,
+    0xcf0d18aa, 0x26038f28, 0xd12889a6, 0x009e4221, 0xf6c4021e, 0x724772f9, 0xf7665007, 0xa647325f,
+    0x6c416efc, 0xb47cf1d1, 0xb10401e2, 0x1e7a3dea, 0xef11d9e3, 0xa0302691, 0x379d8372, 0x564bf738,
+    0xfad0d1c3, 0xa0331be7, 0x9653d42e, 0x92e03e43, 0xf39eb89b, 0xac768a6a, 0x44ddc691, 0x921b7e57,
+    0xf09d849a, 0x67dbf682, 0x96f7a4c7, 0xb1965d99, 0xbc753917, 0xe201e2a9, 0xd5d84174, 0xde643809,
+    0x033475f0, 0xe613e5e4, 0xd4d7de24, 0x52e29560, 0x95ff0f67, 0x2ff7a118, 0x2942e531, 0x544dd5da,
+    0xae37a06a, 0xf6ace4c5, 0xa18d017c, 0x5bdac307, 0x0c4e7a64, 0x02efc444, 0xb315d3d3, 0x76ab5a0b,
+    0xf2712189, 0x2e5ab6b7, 0xcbc7307e, 0xe2f51f4c, 0x3bce6f21, 0x0cf8636d, 0xdf8eaa69, 0x9605fcd3,
+    0xba3ce4af, 0x522622e1, 0x7eda02c7, 0xc7c8cad9, 0x4fed4b8d, 0x07c295a7, 0xfb324396, 0xf00aa17e,
+    0x7082381e, 0xbb15e2b0, 0xe166ea30, 0x30221a50, 0x1d7a475d, 0xdbd7d902, 0x66d29ba7, 0x28d5ab5e,
+    0x810ad2f3, 0x9fa28662, 0xe1b50245, 0xef59f6bb, 0x417ed6c7, 0x98c3b406, 0xe5d261d1, 0x7ad4e1f7,
+    0x39000af1, 0xdc2ac06c, 0xe642b83a, 0xb7cdc8a0, 0x6cfc8856, 0x36e2d704, 0xb7d19eaf, 0x6c63f500,
+    0x9ae4d3ca, 0xf2ea29de, 0x664f2880, 0x3c144c27, 0xc005866f, 0x78cc2917, 0x23735ce8, 0x9c8fbfb6,
+    0xe58e5203, 0x26ef8f58, 0x14e713a0, 0x339d6d14, 0xbab9cc5a, 0x4bb00dd6, 0x9662105f, 0x6def9d50,
+    0xa6ddb5b2, 0xaeec1cce, 0x31fe1653, 0x876d6043, 0xb10c29d1, 0xc7111759, 0x39171720, 0x58131aab,
+    0x207cb35f, 0xe0228627, 0x818f5529, 0x3b887917, 0xb1eba93d, 0x38ecfaf3, 0x6790720a, 0x5a270556,
+    0x6b29ccc7, 0xde6a8efe, 0xb5fe73ef, 0x601e3368, 0xdcbe3892, 0xe3f50f02, 0xbed540c6, 0xefd7aed9,
+    0x3d7e83f9, 0x60e817af, 0xd475110c, 0x9c8fdba5, 0x931b3c59, 0xb610cfde, 0xebee9492, 0x49ad4bc8,
+    0xbf49c6ff, 0x1e1369b0, 0x8ded2ee9, 0x10fc74e7, 0xa0ed1f98, 0x81b07b4a, 0xd2ad0df3, 0x2c04b18d,
+    0x5ce14ac7, 0xd21250b1, 0x9516429f, 0x460d7cf3, 0xa1efb3e7, 0xd2911454, 0x288d7a8b, 0xddad68f4,
+    0x43739817, 0xdf7456b9, 0x7903995e, 0xa54ee4e9, 0x921b481e, 0xa1e89f8f, 0x5dfca7ce, 0x7b711c70,
+    0xacac6257, 0xb314f8cb, 0x5568f9f7, 0xc2b14ad7, 0x94b4bab8, 0x56a9a72f, 0x22e9dfff, 0x1dfbbc5a,
+    0x0996ae33, 0x90b4b045, 0x6a93b370, 0xf83e6fba, 0x0a7105ea, 0x83cf3df5, 0xc35c015c, 0x0ad1ece1,
+    0x4fac6604, 0xae414103, 0x4792a8a7, 0x663d8cc3, 0x54e11c0f, 0xd035d19b, 0x0c008ced, 0x68f06c77,
+    0xb6f0a8c5, 0xcd5814d9, 0xa16c0a72, 0x66352683, 0xbf438649, 0x90bd6340, 0x0cb026d0, 0x54993492,
+    0xc7c50a20, 0xb3283f75, 0x60b15cd2, 0xa0174125, 0x8f628f5a, 0xeab32305, 0xb3beded2, 0x2d32fe89,
+    0x1630cc19, 0x7c3161b0, 0x18c6e115, 0x3783a6ee, 0xe69ec194, 0xf37eb9d4, 0xb4b619a8, 0x8a40c043,
+    0x65d93246, 0xa640898e, 0x11f08869, 0x26f03877, 0x77013c89, 0x63e1a67d, 0xb7750eca, 0xcf7f522c,
+    0xfa7d965a, 0x9fb26b17, 0x8e32fa11, 0x229f745d, 0x08731a34, 0xc8250be1, 0x3ee31404, 0x6dc3a2b7,
+    0xe3300b7c, 0xb47cf6c7, 0x03c302b3, 0xfaeac10a, 0x9561a17a, 0xa2ea1ecb, 0x6ffc81e2, 0x25fe7f85,
+    0x65d310e8, 0xc15444c0, 0xcbef6f04, 0xe7061fbe, 0x8f6efb05, 0x9889a74c, 0xe51c950f, 0x8297bc0b,
+    0x30767660, 0x7f945edc, 0xe2d5f2e8, 0xc2a47800, 0xdf6ad516, 0xe85db86b, 0x26da8580, 0x68d91746,
+    0xaa4ae73c, 0x857afe9e, 0xaced51a1, 0x6f318658, 0x9cc194ec, 0xc7a2341e, 0x73c47b6f, 0x55041016,
+    0xfcbd7ef5, 0x19c6e735, 0x0c191fdc, 0xb3379e22, 0xf2e429c2, 0xc779bce4, 0xd3c3dc2d, 0xf4562ba5,
+    0xe4dfb112, 0xa8218136, 0x2361e52f, 0x1720d424, 0xdb8cfc3d, 0x84f31d3a, 0xbd8bf6fc, 0xbd946b44,
+    0x0732f9c4, 0xa55a9faa, 0xd01647f7, 0x39da5d54, 0xa1d4263b, 0xf49dde87, 0x041813c4, 0xfd68c618,
+    0xa1b7794f, 0xa174992d, 0x5574b466, 0xa6f0c486, 0xbe3ff778, 0x7681dac5, 0x1cb98f77, 0xf63e807f,
+    0x258bb2df, 0x22ea4a07, 0xaa6c82be, 0xeac93ba4, 0x2d158e7f, 0xf4ed399c, 0xd23c216b, 0xb18b3421,
+    0x7d2a88cd, 0xb5adf597, 0x82729cb0, 0xc145eaf2, 0x36c0205f, 0x895f75f1, 0x10ed9530, 0xe39581a6,
+    0x477d82cf, 0x4970d5e4, 0x50d8eb57, 0x8fde7a58, 0xe61dab16, 0xf00a7cc2, 0x0eab8cca, 0x7bda6350,
+    0x2c743b8d, 0x662a6ca4, 0xd775a13b, 0xaf72d7ac, 0xd536b35f, 0xef40f964, 0x0c688824, 0x2629f611,
+    0x07e0538e, 0x3438f15a, 0x5f2f30b0, 0xc9eaa10b, 0x3a850867, 0xdcaa11cb, 0xa6b116de, 0xff29b52b,
+    0xf64091a6, 0xf7f093eb, 0x6310026e, 0x05c8b947, 0x1852bbf8, 0x404ccfa8, 0xd4aedf4c, 0x5993e77e,
+    0x6436ab8b, 0x037d8d00, 0xb056c868, 0x585a48be, 0x139b578f, 0x7144beb7, 0xe6888f4d, 0x5e8944c1,
+    0x6561e438, 0xdcaa24b9, 0xea2be79a, 0xfa87ef83, 0xb72df0ab, 0x480b3381, 0xea9caf19, 0xfb274224,
+    0x7e204b2b, 0xf4c62254, 0x1dbb6dfb, 0xb839f06d, 0xac146bcc, 0x4de6e121, 0xfc5126c6, 0x90cb379e,
+    0x72db9795, 0xab79f348, 0xac83dbbb, 0xfb487dc6, 0xf20df839, 0xa4b83bf8, 0x59a27b0c, 0x5ac65a02,
+    0xd8cbdd49, 0x541965f2, 0x81a39995, 0x42b76601, 0xb6082d7e, 0x354bebb2, 0x9a5acd04, 0xb284dd37,
+    0xb1996297, 0xd43c650e, 0x7edc2555, 0x3d095733, 0x64a5e841, 0xc5fbb95a, 0xfdb6cc80, 0x23dd85ff,
+    0x389eb95b, 0x888c2e46, 0x5b541c65, 0x5eb382c7, 0xa35fa5d7, 0xdd508df7, 0xd9edbdc2, 0x1ad966c8,
+    0x481355f4, 0xd67b24ca, 0x661fc28f, 0xe91af03a, 0xc9c12261, 0xa5a8ad85, 0x11a08755, 0x9652504f,
+    0xb22e3556, 0x481b7c80, 0xb3feddf2, 0x665ee366, 0x38d0ed38, 0x4db4c196, 0x628358bb, 0x581ec3ed,
+    0xc6cef6f9, 0x4cae6b4e, 0x67a09a82, 0x3d327041, 0x9b67acf4, 0x38ad9dc2, 0xce4030f7, 0x7d3b373a,
+    0xda39afb8, 0xdf615646, 0x088a8cd1, 0xb91c20f7, 0x14a03a2c, 0xf4db3c49, 0x4e7130be, 0x5ed8322b,
+    0xfbe9e0af, 0x163ea817, 0x7c937b7b, 0x5aaf5b8e, 0xf413527f, 0x83cda151, 0x4e391a1a, 0xc1efc4c1,
+    0xd84f648c, 0x7867b4ad, 0xa54c13fd, 0x01959a05, 0xf40a6980, 0xa6a0a227, 0x656b03e6, 0xfab0cbb6,
+    0x52111494, 0x42e36b8f, 0x21a88a76, 0x07410618, 0xb0b197e0, 0xc3ab1e00, 0x9b2898eb, 0x76609dce,
+    0x87893826, 0x18c1764f, 0xdc7d6bea, 0x175192e2, 0xb7440db3, 0x6c19aa38, 0x3f1eb412, 0x99696e2e,
+    0x3059a16f, 0x0f4f3c34, 0xf83e25dc, 0xe99cc351, 0x04acd900, 0x15099959, 0x0b880991, 0x1c8f3c49,
+    0x1d55b2f3, 0x16aa018a, 0x43a56c86, 0x6c632448, 0x4466b6b0, 0x167afb4a, 0x08a19fdd, 0x2c55a547,
+    0xa0fdaa18, 0x70c6bc7a, 0x901f7543, 0x9e18f4ea, 0x6965d515, 0xd684fbd0, 0x3836839c, 0xa337321a,
+    0x7c4a7429, 0x63731de3, 0x95a678fa, 0x2b85afbc, 0x8cf34d78, 0xa6b28b40, 0x58e9aac4, 0x37bff096,
+    0x1c39a70c, 0xfe04db79, 0xdf2fa2be, 0xb21e792f, 0xca212ac0, 0x0cae4d0d, 0xb5460663, 0xe432428d,
+    0x8a4257e3, 0xb8df28d7, 0x2f96a796, 0xedfa053e, 0x1377adb4, 0xeddc1997, 0x0b849dcd, 0xad219ec5,
+    0x65514ce8, 0x99e557d0, 0x44810050, 0x47396afc, 0xd191385f, 0x51be6b30, 0xa40e4698, 0x4d015160,
+    0xc930ae37, 0x4791b079, 0x773a5b4a, 0x68ea3b64, 0xf475a587, 0xe455ae68, 0xa2ecea71, 0x6bd082d3,
+    0x7b0524ff, 0xd6100c5a, 0xb90f0c83, 0xeda5338d, 0x28627720, 0x72aea619, 0xd4e091ee, 0x2317b1eb,
+    0x661e0a42, 0xff45bf09, 0x52e87704, 0xecdb27af, 0x94d1608d, 0x1e498ee2, 0x1db7b0ef, 0xcd655640,
+    0x913d1881, 0xb74a5020, 0x9bc0b73c, 0x699eaed4, 0x79ac4e65, 0xe457e631, 0xfbd4c796, 0x9146f577,
+    0xec82684e, 0xf035fb33, 0x62ef560e, 0xb3453022, 0x73d82acd, 0x57459b55, 0x99c22cb9, 0xe07c07bf,
+    0xf99e5192, 0xe7316691, 0x63f544a4, 0x513bdd54, 0xa0504359, 0x683e8972, 0x0534af70, 0x070c3be9,
+    0xb9e14b00, 0xbe35eb4f, 0xe1bb113c, 0xefa69c29, 0x521dc9eb, 0xdce5f14c, 0x0ec203f0, 0xa262f3cb,
+    0x4709e692, 0x374bc3bc, 0x712bc448, 0x711e1e5e, 0x77879d66, 0x89e007bd, 0xa4159756, 0x037655bf,
+    0x580e0e74, 0x7d55bcd8, 0xecf80f54, 0x4406c106, 0x3c59805e, 0x7f07244b, 0x743447cf, 0x6ef0224c,
+    0x79761b7b, 0xca433e21, 0xfb78372c, 0x0a3d3847, 0x482d8d49, 0xe2c821fd, 0x50d3187e, 0x8f8e4ad2,
+    0x22c55b48, 0x04b0830a, 0xcd0d3279, 0x3019efef, 0x25bc1f74, 0x7d223dcd, 0x4f04015d, 0xa59f02d6,
+    0xb2abf201, 0x21cd30b6, 0x7aa00750, 0xa277f9ab, 0xcb3d4057, 0x2e833220, 0x44a2cea4, 0xf247456f,
+    0x1ea2057e, 0x0db0ba3a, 0x00fb897d, 0x16305371, 0x4abb9853, 0xf6b44c2f, 0x8a59028f, 0x152bbf9d,
+    0x419f0ad7, 0xf655c7cb, 0x4de445d3, 0x7dceeb67, 0x6563fed7, 0xba94754e, 0x03330791, 0x9d5bec85,
+    0x0ded0042, 0xc61e7a60, 0x96d1c89e, 0x7569e962, 0x0e36cec4, 0xa2c6d59a, 0xf981ac31, 0x755fe066,
+    0xcb8f3a04, 0xc05396df, 0x282c9df1, 0x53cb87c6, 0x7049303b, 0xe093f8d2, 0xb589ae94, 0xe0bdb045,
+    0xf2322c72, 0x916f359c, 0xdfe8ff79, 0x2a23f01f, 0xd17caf04, 0xb1f729b2, 0x65c543a3, 0x7d668439,
+    0x081a73b7, 0xadbf66a7, 0x93dbe28d, 0x58cee9ff, 0x8e39bdb3, 0x3f52373a, 0xee6d9d38, 0xac90828e,
+    0x5cfa408f, 0xbf7036e5, 0x4c3a69bd, 0x2af80c4e, 0x6bfe715e, 0x936e78f1, 0x9fc70a4b, 0x3e82fad6,
+    0x212431ce, 0x6b2748ab, 0xd977eab0, 0x6d1eb003, 0xbdfda02a, 0xcb21ab1d, 0xb25e415d, 0x4e12cf5e,
+    0x88d6e851, 0x3e37b051, 0x505f8b81, 0x1f86d728, 0x1a7480d1, 0x054c336b, 0x772f080b, 0xdaccd277,
+    0x9bf1d155, 0xdb118b59, 0xff2c3d5a, 0x88e03455, 0xe7494e98, 0x167fce98, 0x5af16814, 0x98c942cd,
+    0xb01a451b, 0xabe4088c, 0xd13ae4a7, 0xe4058e31, 0x7b4a9b14, 0xfb06e699, 0x367d7df3, 0x0c76da2d,
+    0xc1381a2f, 0xc9b0a8d9, 0x740e61f5, 0x781984cf, 0x83e628cf, 0xfd752d65, 0xd9d72511, 0x66550942,
+    0x78b36f4e, 0xa4eb04df, 0xbc7b8b87, 0x5f516ad4, 0xa39377b3, 0xaab15123, 0xbca271a2, 0xe2c4569b,
+    0xa09a74c9, 0x8f0e8843, 0xdee3ca10, 0x5af91ccb, 0x348342ef, 0xeb4ee1b4, 0x29fe3b74, 0x0fb86cfe,
+    0xb504cdfd, 0x96aa1e89, 0xb94a0112, 0x23fe0bba, 0x6e5c2de5, 0x6ca3b30a, 0xc5e4b35f, 0x981ba089,
+    0x9d514e18, 0x2dfcd637, 0x117e047c, 0xed65c18d, 0x26013c38, 0x7b47edd6, 0xa32ca1a0, 0x532dff0d,
+    0xed986bb9, 0x69bd55fa, 0xf738b4e1, 0x5d6612ba, 0xecefab5c, 0x74117097, 0x2b1cb2de, 0x1b43684c,
+    0xc13e2047, 0x783ec16e, 0xeeb8679d, 0x86e95ded, 0xbad3bfd9, 0x3222fae1, 0x7dcad6a0, 0xe1a9faa7,
+    0x01f8faa4, 0x766e4cc3, 0x2b2bd634, 0xe1e5cb3e, 0x6a7e0837, 0x09d919ca, 0xfb5409b4, 0x5419e0ff,
+    0xc1bfee11, 0x2855a5b3, 0xca2bbb6f, 0x3ab7bb41, 0xed6d7f0f, 0x852f49ea, 0xdd1ac0dc, 0x96ba4d2e,
+    0xad58f721, 0xf5740698, 0xa4dc32ff, 0xc3deaf33, 0xf9e8d005, 0x11fdec79, 0x55a15559, 0x0d4b742a,
+    0x1c359645, 0x48842e4d, 0x0324bbac, 0xd3baa157, 0xe1651e8f, 0x8e678d0d, 0x9cb440c1, 0x73ef0f58,
+    0xe5219a52, 0x59d6b881, 0x98c762b5, 0x5eca5e83, 0xfca6e63c, 0xb75bcb6b, 0x110c81b2, 0x07c1d243,
+    0xc4d5579d, 0xe207360c, 0x289c1a91, 0x227c3848, 0x3ab99f1c, 0xa26d9f69, 0x13bc29b3, 0x25551fe5,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000011742712913869166139447402983946\
+                         68513687841274454159935353645485766104512557304221731849499192384351515967488 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d,
+    0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8082, 0xe7859d06, 0x650fde9d, 0xd51f3a3e, 0x24beab62,
+    0x00000000,
+    0xcc802ccf, 0xd037a34b, 0x78822aac, 0x633bcb6f, 0x8d5abe91, 0x6baa92b9, 0x44c481ed, 0xd542cb6a,
+    0x168f9cc5, 0x4d2a9bc5, 0xc8907032, 0x10148436, 0x3990be2b, 0xe94e0393, 0x5a52271f, 0x34e03f03,
+    0x708e887c, 0x7898bd69, 0x26f4230e, 0x92c8eab5, 0x6b7a9696, 0x951fedad, 0x25505739, 0x5cee97e7,
+    0x1d6621f6, 0x366c4b39, 0xace81ba8, 0x670dc483, 0xeee78809, 0xf5fad0dc, 0xa42f7073, 0xe3157244,
+    0xc5bc8a00, 0x45f0b1ef, 0xa6200f32, 0x5e46c626, 0x0788fe10, 0x845b0147, 0xf3b660a2, 0x2b4a7087,
+    0x1a263eed, 0xc1a09e71, 0xd1737ae9, 0x9358297a, 0xbf3369b4, 0x65a42bae, 0xc2de3d49, 0xad43726f,
+    0x770903d1, 0x6fa66d86, 0xbe027b6e, 0xd75b8fbd, 0x7209b1e7, 0xbd5d56d1, 0x26e218ce, 0x966c62ee,
+    0x5e15a845, 0xdb3405ac, 0x185f8cfe, 0xdb1d852d, 0x67599f83, 0xbd6bde28, 0xd0ac12ea, 0x98f9f66f,
+    0x4806d648, 0x6a29847c, 0xfcbf49f4, 0xa1ddff09, 0xf37a974b, 0x5efef397, 0xc0df5e9a, 0xa252c258,
+    0xee5945bc, 0x6c8b24a2, 0x299be047, 0x0efc022d, 0x61409ebd, 0xbc075141, 0xdde9c8c6, 0x2a566595,
+    0x42d98c29, 0x27a85cd2, 0xc91de133, 0x80a247d8, 0xd74759a5, 0x93f86e80, 0xe7b7b327, 0xf5428dfa,
+    0xc7ba9483, 0x85e6b2d6, 0x0b1546ec, 0xa84b9a17, 0xd6b44243, 0xd0655039, 0xa22b38cb, 0xb5e766da,
+    0x7bb87f50, 0xd1b8617d, 0xf86df405, 0xc20f46b7, 0x14507668, 0xb09e2725, 0x8bb0d4ec, 0xbfa4d024,
+    0xbae0206c, 0xbcdfa513, 0x2fc28eb3, 0x6c5cc8dd, 0xf4e9a7a8, 0x91251f8d, 0x17805848, 0xa64cf97a,
+    0xd414e7dc, 0x24211b2d, 0x2df2618e, 0x520e80db, 0x90f76249, 0xed10f9bb, 0x68694948, 0xb9b57ed3,
+    0x45dd54bb, 0xae7e7177, 0x7f53470f, 0x28ea47bc, 0x9019729f, 0xec23f615, 0xd2c58505, 0xf33b07e5,
+    0xfde58ab1, 0xc22ce74a, 0x824322da, 0x5e5d0a5a, 0x485150d0, 0x41a16fba, 0xa29426ad, 0x8739d4a8,
+    0xbc073920, 0x054e840e, 0xa3d5329c, 0x5194ecca, 0x00ee9289, 0x8f95a9a5, 0xc4b49f4f, 0x19a97f9f,
+    0x1947d84d, 0x947b3ab0, 0x5200ba1b, 0xd8ac36ab, 0x618e78a4, 0x9c2f5499, 0xa37c28b6, 0x531a1bbd,
+    0x4d0a9a61, 0x5277e457, 0x5d933fca, 0x504bd959, 0xf9d19e7f, 0xe767c752, 0x18ab8cc4, 0xcddad143,
+    0x7ccf78e4, 0x8ffac920, 0xfab29783, 0x92868dc5, 0xffc9e5ed, 0x9cfd1e51, 0xe0d2d5d4, 0xdf00621a,
+    0x60877b62, 0x6bd6c0c3, 0x7eb84e94, 0xd4b82131, 0x00cd3435, 0xf2d339aa, 0x5b06e316, 0xdb9a6b3b,
+    0xc528129a, 0x4cf92696, 0x22c44785, 0xea96a59d, 0x78c8bf36, 0xc5d8d882, 0x572a6372, 0xc42bb315,
+    0x32613b23, 0x761c2586, 0xc42a3fbd, 0xa38887f0, 0x29714a6f, 0xe8792691, 0x7e9339d9, 0xeb983219,
+    0x061e722f, 0x9b305e70, 0x0416b53a, 0x8fe65f00, 0x77a065e2, 0x47d925b6, 0xea18cb25, 0xbc612f41,
+    0x676a9d7e, 0x2afa4328, 0x13b80372, 0x7af00d45, 0xb2f7517d, 0x1a6ec0c4, 0x4835cdba, 0x52472e76,
+    0xce5b8314, 0x7be83ac8, 0x6f7c952d, 0xe77d59c2, 0x186c1eac, 0x31428f81, 0x39403149, 0xcebee512,
+    0x89771c25, 0xe0618745, 0x520df560, 0x0eb1366b, 0xb75d0050, 0x6e8aee7a, 0x63879560, 0x184ac391,
+    0x96c1d76c, 0xb3dea0a8, 0xb1546a62, 0xdf339b5c, 0x2a01f655, 0x1bed2440, 0x83ae3935, 0x2eff34d8,
+    0xe7f61042, 0x78708a3f, 0x86367fe9, 0xa26efb0e, 0x0b1d791c, 0xd37d8327, 0xa6c31137, 0x2db43626,
+    0xfbf4b555, 0x433242be, 0x623f13a2, 0x4cdd672b, 0x9cab4b4c, 0x9337e3a5, 0x8c7a78d0, 0x438b8999,
+    0x6ae9956a, 0xde123ecc, 0x8766a80e, 0x5520d428, 0x9549a763, 0x6ba5cdd9, 0x10669cd0, 0x19f81b00,
+    0xccf0a044, 0xfc0eaa23, 0xd1395308, 0x6f1a7f1b, 0x8331f597, 0x34bc7698, 0xfa4716bb, 0x65f2b4ed,
+    0xf55d3fe1, 0x41f12600, 0x1eac496a, 0xbb008a88, 0xdc927fed, 0xf87a9e9c, 0x82703567, 0x62a283a5,
+    0x35236563, 0x0d6ceda0, 0x2e1908df, 0x1dc164aa, 0x5deb7dfd, 0xd07d932c, 0x80df9854, 0xaf4e56e1,
+    0x39c85c27, 0x793543b3, 0x1fcc42db, 0x44c0486e, 0x3876aeff, 0xe12e90cc, 0x84224c5a, 0x945661c7,
+    0x6d2311a6, 0x58d4cc79, 0x4cc3d947, 0xf12a89e9, 0x45f021aa, 0xd633f389, 0xa1eaa38b, 0x565b9dfb,
+    0x225f9de4, 0x0415be4b, 0x4818bd10, 0xdef47f3c, 0x5bf3e199, 0x6f8f5d86, 0x941e9310, 0x2200c5e8,
+    0xc147fdd3, 0x784b1779, 0xa6bb513b, 0x0c5b4722, 0x872f689a, 0x5f57ba15, 0x36e30e4d, 0x6109c332,
+    0xd975a884, 0x18bba9ef, 0xf1ed839e, 0x92268bf1, 0xb6e46c67, 0xb496f058, 0x7b19020e, 0xf7323793,
+    0xbd54939f, 0x47433d84, 0xe0d25afc, 0x0efcda05, 0x5c4ed0ed, 0x2e77fadc, 0xf6f33aa0, 0x25342897,
+    0x93823573, 0xa7eab3f7, 0xe9cee085, 0x7c455800, 0x0498bc52, 0x3577526f, 0x3f9999de, 0x3a2c241c,
+    0x6eac1757, 0xf48a0d72, 0x4dae69e3, 0x23906f4e, 0x8253255d, 0x4233e701, 0x60050c86, 0x87123b42,
+    0x95ab0d55, 0xcbfcc4f4, 0x29ea63e6, 0xc6bffbd6, 0xeec78d18, 0x8e158d71, 0xeb3ba4fd, 0x50e4f260,
+    0x3ee5afd5, 0x1a914d53, 0xc1321806, 0x1ec7daef, 0xcacefb2a, 0xc0ded0c0, 0x74353aca, 0xc01f768a,
+    0x83b4fc10, 0x8adea7be, 0xbe5342cb, 0xa38d382f, 0x85df0a7c, 0x9be1f972, 0xa2cbe993, 0x0c627156,
+    0x87782cbb, 0x81acca6f, 0x4bdfac0f, 0x00f14a51, 0xe0553967, 0xf7c33b63, 0xdf0c4e37, 0x87e0eaab,
+    0x18c2e975, 0x71aeef7f, 0x333cd357, 0x7169b404, 0x68c49c08, 0x291ff065, 0x76931014, 0xb0882640,
+    0x70650007, 0x1ab27519, 0x71448ccb, 0xd819be76, 0x2598c26d, 0x3e47abce, 0x4b6a0a06, 0x3a656180,
+    0xba6ffeb5, 0xda6b0fda, 0x834ebba0, 0x93d81b8a, 0x82d3907c, 0x4b0d3f1e, 0x5b7b4792, 0xd5ffc112,
+    0x4751126c, 0x68e8f181, 0x3167d7c9, 0x410579ba, 0x4cdac840, 0xa4104bfe, 0x2c405500, 0x159b8174,
+    0xe40ac3d8, 0x80823085, 0xb5a07b3a, 0xa46a5a32, 0xc590aecb, 0x0f801a84, 0x716f1477, 0x858997db,
+    0xfd472d65, 0x4a1d9eea, 0xd9a428ae, 0xafcf55cc, 0x5f083ce9, 0x44cdb2c7, 0x8ae54ece, 0x7f27d071,
+    0xe471d4b2, 0x92c74282, 0xb7c7faf1, 0x14c0ffd3, 0xa4251b58, 0x7baae584, 0xcad53704, 0x0f81da05,
+    0xf3445d8d, 0x30d95a97, 0x54659019, 0x88db4456, 0x924adbb5, 0x1c37a7b1, 0xd2afa91b, 0xdfc326b9,
+    0xe3ffffcc, 0xe8301bf5, 0x338b159f, 0xf3696035, 0xad775dab, 0x5bfeaac8, 0xb2494689, 0x4e1e635f,
+    0x5777624e, 0x6e77c101, 0x6ad6baa6, 0x25f9eb66, 0xc222073d, 0x7c217da0, 0x5ebd498b, 0x43fa4146,
+    0xe977aeeb, 0x40e5882f, 0x490b3654, 0xaefca013, 0xbead6905, 0x45f4aa86, 0x77ca191c, 0x7a4c5c84,
+    0xa9e07ce3, 0x5734a831, 0xaf8b49d9, 0x668ef69d, 0xad1531e7, 0x910193d4, 0x75f45021, 0x76136ea0,
+    0x0dd7d954, 0xd91fe7a6, 0xf3cb892b, 0x613edb16, 0xc2d330fe, 0x472088f3, 0xd0092a7c, 0x258e1a00,
+    0x18601fb7, 0x5a447e70, 0xb6f9fecd, 0x90cc483e, 0xcaa22984, 0x1a72f369, 0x554cff6e, 0xb9c07680,
+    0xe84f29bd, 0x3e8fa665, 0x3ff62693, 0x42b221ac, 0x767791b2, 0x63b6ec3e, 0xb7dbf9b9, 0xc4ed7888,
+    0xa8f8c3da, 0xca08433b, 0xd9d8cf60, 0xb4e3cbd8, 0xa96c3f8b, 0x2d743221, 0x17093e1d, 0x215f2d9e,
+    0xac4273e9, 0xe49a8de8, 0x91647b2e, 0x42436ba4, 0xb1965e30, 0xe8473d15, 0xbc91968b, 0x70cc9d1a,
+    0x5a59d55e, 0x1949c7e1, 0x4c395e26, 0x22e8d240, 0x4c23d430, 0x8eeec11c, 0xd88b160b, 0x8ea7b975,
+    0xff51eeb3, 0x1d9afb01, 0xab74a89c, 0x786bf139, 0x3607a303, 0xe3cd6152, 0x4fdfbf56, 0x92f51c4e,
+    0xe44626cf, 0x7072225d, 0x20b8ec4c, 0xf48d9923, 0x66fb3a91, 0xa0eee768, 0x3ec4f5bc, 0xe1b6895d,
+    0x6abaa437, 0xe85ee37f, 0x6cf12dc2, 0x502c9a66, 0x7a64cca1, 0xdb0d6951, 0xc8f9c668, 0x4b6920b7,
+    0x85d2a634, 0x19e86b1d, 0x59490163, 0x72d51237, 0xf42a0dfe, 0x1507f349, 0x8ee1c5db, 0xb62f5555,
+    0xed755ba7, 0x07ebe713, 0x633fcb00, 0x36a98663, 0x9f229355, 0x5aca89d2, 0xa5ba9591, 0x3044080a,
+    0x72fe1985, 0x5d95b116, 0xb5128353, 0x6faabd40, 0x5206d5f8, 0xb69971da, 0xd33d8be4, 0xe55d1343,
+    0xe9d85216, 0xf41f3a09, 0x07e09d04, 0xf6846654, 0x21f6dc69, 0x68f57e03, 0x8b5c8b63, 0xbf9e09c3,
+    0x0f63b5c2, 0xa119adbe, 0xad5d12d6, 0x71ab2551, 0x6e962239, 0x66648223, 0xbc6717ae, 0x244506b7,
+    0x226f2f73, 0x3948d194, 0x1deb9fcc, 0xe323da5b, 0x46452a87, 0xd8fd2dcd, 0x137426dd, 0x71269bc6,
+    0x7230a9e9, 0x2f99526b, 0x7d5ae5fc, 0xcc3fb10e, 0xde16d12a, 0x75ce6486, 0xdbbd06b7, 0x2b93f887,
+    0x6c0eedc5, 0xa9dcd226, 0x39f52788, 0xed112933, 0x04871927, 0x7e30d488, 0x764f7d72, 0x4c4eef1f,
+    0x87404024, 0x8cc0b318, 0x27aad0fe, 0x6b39b854, 0xff60fbef, 0xa0731499, 0x4c39683c, 0xee8d0393,
+    0x8bd014a5, 0x688954b2, 0x0682dde4, 0xbb46c166, 0x3a2f6fed, 0xcb677457, 0xa0d6e4a5, 0xb16564bc,
+    0x09bd5486, 0x49303a3b, 0x94de7bd4, 0xb8e75f3c, 0xff8f758a, 0xeebc7886, 0xad080663, 0x6bd5d52d,
+    0x5b76ff40, 0x2effb7ba, 0x3f6d5d25, 0xd70105e2, 0xbca273d9, 0xab589b29, 0x39b4a535, 0x89e29eec,
+    0xfb0b9811, 0xa621fd1a, 0x9d41ae6b, 0x7df425c2, 0xfd5301c8, 0x9a1a9328, 0xc41aa91d, 0x8c18a74e,
+    0xe223d32e, 0x3fbd60d0, 0x7aa0115c, 0x0737ae5e, 0x24104549, 0x3ce26787, 0x49ead775, 0x1527ed43,
+    0xf504832e, 0xc30c3a69, 0x4e83834a, 0xd3d1cfa5, 0xec58aaac, 0xd37667f2, 0xdab0c369, 0x3d91867d,
+    0xe9e20776, 0xba313456, 0xb735e34d, 0x495096ef, 0x19010690, 0x845ec96e, 0x5bf25fc5, 0x3b610857,
+    0xd905eae2, 0x6d2611d4, 0x3ad04efb, 0x885491ad, 0xa249052d, 0x86a59b9a, 0x80480638, 0x78a8b482,
+    0x84751d7d, 0x031defd3, 0xfeb5f680, 0x9308eeba, 0x808316b1, 0x331a0f05, 0x376ee403, 0xead8bfb2,
+    0x5c1e2d8e, 0xf01fed63, 0x0fa1436f, 0x3da9caa1, 0x1a2eb60d, 0x6a91444f, 0x51817718, 0xbeb03d2e,
+    0x9193c957, 0x46e43ce8, 0xc97370db, 0xfbfb6869, 0x32fbd8b2, 0xa7c68d15, 0xe9fd3295, 0x368e6517,
+    0xef22d262, 0x0419bc01, 0x7e97856b, 0x3aafa112, 0x11860e9a, 0x424874e6, 0x16dfbabe, 0x0cef84cc,
+    0x43a86b8f, 0x650ba5e1, 0x59d09d44, 0x448fef64, 0xe8676b09, 0xef86cc3e, 0x166f0c87, 0xeb7f8684,
+    0xc977f89b, 0x650361b5, 0x676a7a40, 0xf4895bbf, 0x817dabd0, 0x047422fe, 0x07775aa2, 0x1958c011,
+    0xc2bbdd80, 0xebf6b522, 0x3616fd39, 0xd84e1fa6, 0xce98c734, 0xda97bed0, 0xd1f693be, 0x563e1097,
+    0x3db8125f, 0xd7ea3269, 0x432cf0ea, 0x942d5040, 0x8eaf206b, 0xa5dd8953, 0xc9b5efb6, 0x67858fc7,
+    0x17669188, 0xc50803a6, 0x5dd84150, 0xe9eda11c, 0xc4e28a4f, 0x09e26eeb, 0xb2c078be, 0xdefca0ad,
+    0xd1708fea, 0x2611e236, 0xa42b6543, 0x17b24fe9, 0xc22718d7, 0xe40b4a60, 0x05c90d2b, 0xddc27649,
+    0xfc455b8e, 0xd670d043, 0x859dd5be, 0x0a546b3d, 0xd2fd3ee2, 0x46b78f36, 0x9381ec68, 0xdfe91668,
+    0x8e07d047, 0x93aae371, 0x8e0148d6, 0x23bf8396, 0x7fc83475, 0x463402e5, 0x196c6217, 0xa271d83a,
+    0x7594de51, 0x150f34cb, 0xc7c31056, 0x2d18a967, 0x489b06cf, 0xe87c7369, 0x124c5390, 0x7a7b3c7c,
+    0x2852b3d4, 0xae60b6a5, 0x517ebb0f, 0xd8d0d98c, 0x9fcae21b, 0x841d46b9, 0x1b8dd486, 0x296ec6f6,
+    0x3bc462e8, 0x674de761, 0x832c2abf, 0x65664739, 0x97e8c757, 0x796865e1, 0xa7974fd9, 0xf9cb3ba9,
+    0xfb22f32a, 0x6b756985, 0x28fe82e4, 0x7fd137da, 0xf629875e, 0x0bc540a8, 0xf507b504, 0xa005eff4,
+    0x4ecd4851, 0xc2993c04, 0xca3cd5fa, 0xdfa4fcf6, 0x2ac41a0a, 0x58d6c795, 0x71204f3d, 0x09b7c2b0,
+    0x9a2993f6, 0xa4674fbe, 0x436287b9, 0xd103f228, 0xb2a5d187, 0xfbe78075, 0xdc6314b8, 0x05fd3116,
+    0x46088c0a, 0x47b126bc, 0xf49a2522, 0x57710cf6, 0xfe3d879f, 0x985087f8, 0xae53ebbe, 0xa0ad3f89,
+    0xedec26fe, 0xd2743812, 0x29ec69af, 0xa2510d1e, 0x36b4d888, 0x6e301ba3, 0x3ddaab79, 0xac6fddb0,
+    0x480e11e7, 0x8684d916, 0x14216a24, 0xda3301ab, 0x27712feb, 0x169f6b57, 0xae980492, 0xfb346bd4,
+    0x63cb2d52, 0xc0fad266, 0x722a9804, 0x9380ab35, 0xc0554912, 0x04a496ba, 0x8bfadbb9, 0x47cbe960,
+    0xe7de1912, 0xb130dd92, 0xc1cc1588, 0xc03bb922, 0x2bf0b6d6, 0xf76368fa, 0x32118815, 0x89036dc9,
+    0x044078a6, 0x5f9f6e0f, 0x222a9449, 0x13272fce, 0xa917834c, 0x5c68dd5e, 0xcc934929, 0x68dc3b1c,
+    0x730a7370, 0x3699f105, 0x2038901e, 0x869f0d79, 0x2678f87c, 0x0d3b1274, 0x429100ef, 0xd9aca0fe,
+    0x5dc4eab3, 0x1249e9a5, 0xf31461e5, 0x5d36f475, 0x8dac44b5, 0x0aa75658, 0x6a1a0ebb, 0xdf8da4d8,
+    0x18a954c0, 0x62ca808e, 0xf5df7360, 0x139fb6be, 0x22a3fc24, 0xa17232db, 0x58aa5289, 0x3914144d,
+    0x8e26c737, 0x3c9f2569, 0xafd8db17, 0x0ae50240, 0x3be7597b, 0x31077b45, 0x44e03031, 0x35444a65,
+    0x6a5308ae, 0xbe3cad26, 0xce021c9b, 0x6fb1d55b, 0xde0b2122, 0xb3c85caf, 0x83919a80, 0x11efb1fb,
+    0x892bfb33, 0x44a4fcce, 0x69bdf04d, 0x4c1e2d0f, 0xe50d490d, 0xdf8bdc72, 0x1bab3366, 0x6d6d70f7,
+    0xeb781d31, 0x6cde4a8b, 0xfe84164b, 0xe5c14f15, 0xcc62cd03, 0xc93a14b6, 0xff4a19c8, 0xade33d97,
+    0xcadfa549, 0xa6956f71, 0xad6a6c41, 0x8a7aee38, 0x53ee8abe, 0xe0b5e0b8, 0x5bbab17d, 0x71d99f7b,
+    0xa858bd48, 0xc2586f6e, 0xe45e1051, 0x80fbddc0, 0x697e3913, 0xaaaaadf5, 0xaafcc8c1, 0xbc524bee,
+    0x7d5cd5ed, 0xd27c1117, 0x533452bb, 0x07fa10d5, 0x69ead841, 0xfca3601f, 0x1e483272, 0xfabbf729,
+    0x4c263117, 0x7ff3b814, 0x5f22c948, 0x8059c73b, 0xdf95d3d2, 0x8d54986a, 0x4cb8b52a, 0x4c9f781e,
+    0xd02d4360, 0x0c7778c1, 0x2f2efdee, 0x8e35bd6d, 0xef49781d, 0xe72b4c9c, 0x619bb8c5, 0x25f84c72,
+    0xbd0e8e8e, 0x01224190, 0xa9544a27, 0xee88b923, 0x5555c033, 0x669311c3, 0x93aa222c, 0x714938eb,
+    0x1a8226dd, 0x69f25a80, 0x19486dc4, 0xd92068e0, 0x6f84562f, 0x840c5ab9, 0x84079353, 0x0f7cde7c,
+    0xc2ee2436, 0x2954b48f, 0xdb38a79d, 0x340be18e, 0xde5b84ab, 0x87b4921a, 0x58fa2828, 0x20a35c7d,
+    0x1a4a50ff, 0x5a5333e1, 0x3428addf, 0x09b6a4e3, 0xe6c902ef, 0x794fdeae, 0x51507673, 0x8595d4fd,
+    0xa55a2848, 0x8893b500, 0x1f383e19, 0xd6acccfe, 0xddef287e, 0xba29240c, 0x41182f11, 0xa9a82be3,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000005871356456934583069723701491973\
+                         34256843920637227079967676822742883052256278652110865924749596192175757983744 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6,
+    0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564041, 0x73c2ce83, 0x3287ef4e, 0xea8f9d1f, 0x125f55b0,
+    0x00000000,
+    0xe4ce547f, 0xd6c8e25c, 0x5e31e7c1, 0x4a6fedcd, 0xa48bd148, 0x32a3fa1b, 0x54f60a87, 0xf5a09e80,
+    0xd5c2e670, 0x801c43a5, 0xefb76df6, 0xf23b6569, 0x0a8e5a5a, 0xac30ec0d, 0xcf7f3949, 0x9fd4e141,
+    0x7de1dba0, 0x224a2fdf, 0x7f5378a3, 0x98111398, 0xb7521527, 0x54760cbb, 0x49548bb0, 0xe9daee69,
+    0xa5040e2d, 0x953d347d, 0x612a2352, 0x0a7fbc4e, 0xec5cc617, 0x680b35bc, 0x1ee232f3, 0xe11c6d89,
+    0xd7a56cca, 0xde328d3b, 0x9023edfb, 0x10446376, 0xb9e75319, 0xf3d58590, 0x3c8b8d37, 0xccef4fa2,
+    0x8bc47fa9, 0xc00ee0fa, 0xe5a2e317, 0x95552e60, 0x4ddc7b72, 0x2a64f003, 0xb65dc97c, 0x1f444123,
+    0x7b0e0d17, 0x6dd42e0a, 0x8901d465, 0xcdfa3f0b, 0x6aa595f8, 0x0c2558f8, 0xc9be48c7, 0x463b7cd4,
+    0x0ca6572e, 0x10833576, 0x60304347, 0x165597c8, 0x09329500, 0x926e4044, 0x405988c9, 0x7c45cc4f,
+    0xa6f809d2, 0x905d3d00, 0xcf6e9703, 0x3af8bd1a, 0x3047ff84, 0x1e6ab9a1, 0x5d7bb77e, 0x05ed6fb7,
+    0x936f4599, 0xe9139b3b, 0x4587eb7f, 0x9f086961, 0x4e36cce2, 0xffe6eb43, 0x097c091b, 0xe5d98e8f,
+    0x072e1cb6, 0xc167ee7f, 0x9f64dff4, 0x0bf67809, 0xbe2aaebb, 0x3dca4c0a, 0x5211187c, 0x4861f171,
+    0x934be8e3, 0x17ac1c80, 0xd0c98fbb, 0x324eac83, 0xb94418b2, 0x0e04a4f1, 0x2aeb5378, 0xc4cb77c4,
+    0xbcc443de, 0x20aa6c06, 0x30749aa1, 0xf34a77d5, 0x18fc7686, 0xa0a56d02, 0x2726cb97, 0xcd7079f9,
+    0x964dd126, 0xfb93c13d, 0xcc59b80a, 0x04924138, 0xa335ef77, 0xfc00001f, 0xdcc350eb, 0xe5123e3a,
+    0x9c96f1d7, 0xcc7ae198, 0x32b8a063, 0x69b366e5, 0xd29482d4, 0x0bd05e5a, 0x6a56f928, 0xa12383a6,
+    0x672e18ec, 0xdd6cc3f9, 0x3acee371, 0xcd3c36dd, 0x2137fa3f, 0x9d70eb45, 0xaaee81e5, 0x29de69ef,
+    0x21080052, 0xd7ded562, 0x2c0c9a9f, 0xd9231eb1, 0x7e766224, 0xb08eaef6, 0xe1c9bfdc, 0xf57e5e75,
+    0x10f1f1fa, 0x08808280, 0xfc64b429, 0x7e8f029c, 0xe47183f2, 0x361fb4b1, 0x712755c8, 0x03b22fa5,
+    0xade0fda9, 0x31af6165, 0x280c14ad, 0xb2d0c368, 0x03184055, 0x8ff0e1fc, 0xd5cd95b4, 0xb108bdb4,
+    0x13e3a533, 0xc6673f7c, 0xbafd2ace, 0xd3c7c4a5, 0xdd3d51be, 0x83790ce0, 0x382aacb5, 0x16f052ba,
+    0x2d4c4395, 0xeda96275, 0xf4f309a7, 0x86a66506, 0x14bcf2e6, 0x38038561, 0x1c0ec5a8, 0x2a4cf82c,
+    0x361e6f21, 0x3495ef43, 0x9fd5f040, 0xfcf3eefc, 0xd8130ce1, 0xe3c27757, 0xf6d79ebe, 0xf92abb46,
+    0xfb527ec5, 0x4f8cb4f8, 0xc5829b63, 0xdc04b04f, 0xf860bdce, 0xd0e94307, 0x1792d211, 0x8c351a1d,
+    0x81a6e20d, 0xdacd1e9e, 0xf1c7eb92, 0x9335fd82, 0xa87e220d, 0x2d58e234, 0x27ae985f, 0xdac3ccf2,
+    0x1d63b83a, 0x43b7c30b, 0x7fe4df84, 0xb6cd8a05, 0x35851ae0, 0x1be3ab0b, 0x2813995f, 0x70cbdedd,
+    0x1ef0fda0, 0x6a98449d, 0x36c334af, 0x59bf68c9, 0x0b4f79ed, 0x07ba892f, 0x4ebdbfd9, 0x768c4d32,
+    0xc90f37f2, 0x51ede5ea, 0x1f6ff7a2, 0xe5398ff7, 0x37a7d8a9, 0xf6e4cefc, 0x4ecb11a6, 0xf80f1bba,
+    0x448ddeb4, 0x6f3107f1, 0xfd30cc29, 0xd32c9abc, 0x55dc1387, 0x8f812752, 0x32c3d395, 0x3a164665,
+    0xf2c8142c, 0xe9232a0d, 0xff49bcc2, 0xa59e648c, 0x0b4e5fe4, 0x0b96b0b0, 0x3eca9934, 0x0a2a2b66,
+    0xedcec0e9, 0x89893e90, 0x52b5e9cc, 0x0a692087, 0x5f9d35b3, 0x420b0bb0, 0xeca7a47c, 0x342ddc6b,
+    0x176b7445, 0xb29d74e1, 0x402990be, 0x2663b173, 0x0c014481, 0x40b03f4d, 0x9eb95425, 0x94855cad,
+    0xd7f231d2, 0xbef9419c, 0xaa0a37f4, 0xfc0e2bbc, 0xc3b0b67c, 0x1201d50b, 0x408faa63, 0xa505c086,
+    0x490fb177, 0xfd0411f1, 0xbdc1274a, 0x006373cc, 0xebb0d882, 0xaea59a89, 0x6be30853, 0x48d2893d,
+    0xcfda8ed3, 0xa6355a33, 0x5a6d6573, 0x6abc3d52, 0x63c2eb78, 0x6b3c2181, 0xc2f6f85f, 0x857bc885,
+    0x0d1bbf1d, 0xee6a6ecb, 0xdadefb58, 0x0a8b509e, 0x38a18d6a, 0x296b1f43, 0x1f2e095b, 0x958f1aa0,
+    0x446e2fa7, 0x4513bc5e, 0x8d299520, 0xb888701b, 0xe61192c1, 0x6f657c9c, 0x54761815, 0xee0e26d6,
+    0x4af32b2f, 0x681664c1, 0xca4552c0, 0x00435d9b, 0x5c1a4c54, 0xe1867312, 0xb9d8d814, 0xb3bc04df,
+    0xeca1d562, 0x2bb43205, 0xd5a94b85, 0x18ccb8f4, 0x371bc7d6, 0x31175d32, 0xda84c2f1, 0xdedf73b8,
+    0x24cc8634, 0x58c38338, 0x58f081bb, 0xef95641c, 0xfe7e6012, 0xf9a6fe5f, 0xe3499b19, 0x2e0a8b1f,
+    0x0afaa6a2, 0x477109fe, 0x84d6453e, 0xca0118cf, 0x06487cd4, 0x8214acc6, 0x420fea77, 0x0c906f5b,
+    0x49f524d2, 0x34636c99, 0xb2db904b, 0xbd1a942e, 0x3b3588a3, 0x803ac6be, 0x1ce643ad, 0xde33c68a,
+    0xc11faa6d, 0x11cbc0fa, 0xbab416c4, 0x08039db9, 0x759ce9ea, 0x4993d955, 0x272388be, 0xebbd699e,
+    0xe658e727, 0x89858445, 0x4061661a, 0xe343d4ad, 0x977a8da8, 0x72e6b050, 0xfe46365a, 0x6d28f16b,
+    0x4ae1e513, 0x4249a548, 0x2936ffef, 0x9ff9d690, 0x5d515cf7, 0x79823816, 0x6f3c9ff9, 0xdd7b06ff,
+    0x23c98fdd, 0xdd553c35, 0x5cd9344c, 0x22157fd2, 0xe3295f27, 0xe91e194f, 0xfe612455, 0x7875abce,
+    0xa55565c5, 0xf22f0975, 0xcfef8dd4, 0x05e4aadc, 0x0f6030a6, 0x0ee1d3ab, 0x8c7a2b0d, 0xae073a53,
+    0x09a21dad, 0xfa647896, 0xa5c425c3, 0x0bfa14c3, 0x54de3d15, 0x97d30268, 0x92ccc351, 0x6cfac7ca,
+    0x9d551964, 0xcd706749, 0xf9e0b3d5, 0x0b6889a1, 0xd60e55c3, 0x67898f07, 0x830e150f, 0x97b1a7e5,
+    0x435fa094, 0x7ae70109, 0xb2a040af, 0x424097b2, 0x96c0b67f, 0xeac35911, 0xcc946307, 0xd670f3c0,
+    0xe7c88ef6, 0xd85e8e95, 0x7d5d2e2d, 0x50925c88, 0x1a8d695a, 0x343b2a69, 0xeb4c8891, 0xe70a66de,
+    0x77a5875c, 0x5156513f, 0x21ad2a49, 0xc6649f38, 0x6b387df4, 0xaff6fc6a, 0xa5152e66, 0x8559fb69,
+    0xd117bcf7, 0xbfa1d141, 0x54354897, 0xdf1fcef4, 0x73052760, 0xb7bc23b1, 0x6be2fe76, 0xa1c9968e,
+    0xe8226431, 0x5cce7315, 0x8fa832fb, 0x83c63f4e, 0x1cdd02fc, 0x6379272b, 0x51559df2, 0x783b5516,
+    0x4c7a56fd, 0x9f1a22b1, 0xd3d12171, 0xc2706bc9, 0x50cd03f4, 0xdf5c8a73, 0xb9e11f5b, 0x09fdb40f,
+    0x20c96417, 0xc3312ece, 0x1e52c82e, 0x0faab8bf, 0x2a615716, 0x92209b95, 0xecdab1b7, 0xd69bc19a,
+    0xc80defcc, 0x9dd63785, 0xe9d1390e, 0xb3b4cf70, 0x299cdbf9, 0x19f19e63, 0x5abe9bda, 0xb2520e94,
+    0x6f6572a6, 0x1165b231, 0x330e3a57, 0x9d195b2c, 0xf655af24, 0x2411df7b, 0xd4b48f39, 0x253fabaf,
+    0x9027fd4d, 0x8598f907, 0x33a5e0bc, 0x4c989a65, 0x4d4d0935, 0xe62403b4, 0xf1a8d0d0, 0xb04a4811,
+    0x5ffbe16b, 0x909c7258, 0xfc0411ab, 0xc98a7cb0, 0x47486840, 0x86a58eaa, 0x493d9315, 0xc33de143,
+    0x0752a1c2, 0x14b4b9eb, 0x849d75a6, 0x82206891, 0xc6f2488a, 0x0ca27cb2, 0xc4746d7d, 0x122ba1f8,
+    0xae2ccde2, 0x9c957448, 0x5beb5201, 0x48c34dd7, 0x707235a6, 0xa75079c1, 0xa34d4e84, 0x94ae6bc0,
+    0x02e9862c, 0xec90774f, 0x250e4861, 0x0b5913d6, 0x3b28f9a9, 0x6006d3f4, 0xce5dba4d, 0x3bfc7d8c,
+    0x5c4d335e, 0x5d4cffb2, 0x4d452fea, 0x74b2dd4d, 0x8c628867, 0x02f4f622, 0x4f1ba70c, 0x5bcc9e73,
+    0xb82a42ab, 0x8aa8477a, 0xbd0cf8cd, 0xfb0cb6e6, 0x3b4950db, 0x7ac4764e, 0xe58f5861, 0xf05dda83,
+    0x2f9f742c, 0x75516750, 0xe2fca321, 0x92d7eda7, 0x3ae4d48f, 0xd7c1ad4a, 0x8acbbb28, 0xe20d652c,
+    0x9aa41c44, 0xc1745aa8, 0xc519198f, 0xa8032533, 0x44b5d02c, 0x131e663a, 0xe7908345, 0xe07a1fd0,
+    0x38f88584, 0x5f876232, 0x2f94b2e9, 0x68cb0e0f, 0x624c6b7f, 0x4e0af63e, 0x8b958f1a, 0xb3de94d0,
+    0xa5517175, 0xfa8c9c60, 0x4b59ca40, 0xc66d743b, 0xa91d2559, 0x3e4ccbbd, 0xc53a2bb7, 0xad093862,
+    0x3adb4883, 0xc1689293, 0x22bc83b0, 0x1bb69edc, 0xce598889, 0x032e733b, 0x18c100c4, 0x87f75d35,
+    0x9f4c811a, 0x364c79ef, 0xe4623c0e, 0x7d13c927, 0x465fcc6c, 0xe278e9e9, 0x813c3a6c, 0x7f67cd9b,
+    0xd5dd556d, 0x2443e668, 0x44dc3598, 0xfcebcf13, 0x402f467e, 0xf7e09ee4, 0xde15d7e4, 0x69b2a822,
+    0x2872279b, 0x595ddaec, 0x4c3ce746, 0xca4e4a01, 0x0add9099, 0xef25299f, 0x23638469, 0xce6b05e3,
+    0x28c2648c, 0x10807cda, 0x5275cda3, 0xe9f89b39, 0x89a806a6, 0x794a1e00, 0xe0493b6b, 0x9dfb03c4,
+    0x20cd52fd, 0x61a7376e, 0xf7bef73a, 0x27e0c015, 0x26459f70, 0xb1f1f265, 0x4f3e4583, 0xf7c85b39,
+    0x6c46e80d, 0xb27e9874, 0xa2eef84d, 0x1e44837c, 0x118a21f2, 0x9b05d8f3, 0x12c636a7, 0xf1974d2b,
+    0xb4301f70, 0xc9e84339, 0x2052572e, 0x2b1f7e99, 0x324d05e3, 0xf689a3b4, 0xecd8bbcb, 0x22afd52a,
+    0x6753c297, 0x1e63188e, 0xf7e81520, 0x3fefb48a, 0x5ec54f28, 0xe64bce08, 0x16b330f8, 0xcd10cc93,
+    0x33a81e32, 0x4f5dd10e, 0x1c3a28ca, 0x6e39cf66, 0xf717a59f, 0x500bc00c, 0xff11ffe0, 0x278a2889,
+    0xbd8e6ad0, 0xabf7b0df, 0x2869ab9a, 0x2c6ff7e0, 0x29742a7a, 0x3c4ce9e4, 0x24549b64, 0x5a10e351,
+    0x6d906942, 0x5ef1a5ea, 0xa94fa42d, 0x53aa426e, 0x4dfda6af, 0xa5c1094d, 0xb73fa210, 0x001cf6d6,
+    0x42c9993f, 0x3dcfffbc, 0xfd78c3e5, 0x8f12e0e6, 0x95c18a7e, 0x3ef7a3f9, 0x4b0b245f, 0x3600b87b,
+    0x17eadbb1, 0xddd3c09d, 0x0718d880, 0x18271618, 0x54360662, 0xa58702b2, 0x8d0a5fa6, 0x8a376c06,
+    0xcd46706b, 0x4ef6a152, 0x6e6ce3eb, 0x4ecca2f3, 0x0d1a4077, 0xf2a9486a, 0x47829764, 0x2f977afc,
+    0xa2bfe9d3, 0x9802348b, 0x34444415, 0x5ae29f64, 0x534e5557, 0x09b84708, 0x3f8a5a95, 0xefe160de,
+    0xe76e4b05, 0x0e68f82c, 0x9f6db405, 0x52da0ef6, 0xf9461c31, 0x6174045f, 0xb5f9dc5b, 0xc147c310,
+    0xefc5b49c, 0x17abd286, 0xba29cef1, 0x8637ec3c, 0x4661ea70, 0xf456219a, 0xdcf06d6e, 0x8c5d89c5,
+    0xccb97132, 0xc74c6c84, 0xbae49d9c, 0xe3b539c1, 0x833d6496, 0xd290c4f3, 0x630273dc, 0x8df9cb7f,
+    0x2b1cf269, 0xf2eba980, 0x4b9c54f7, 0x7a1155ce, 0xca839e87, 0xfb87e034, 0xe8917fda, 0x07ebca7e,
+    0xb5ef2265, 0xadb3519a, 0x13deaf8f, 0xdebcf92c, 0x608f58d3, 0x35e4e1f8, 0x8a942538, 0x696a056d,
+    0x97306799, 0xa9d56b28, 0x6aa53154, 0x6d1a6702, 0xd8fd394d, 0xa40fd87a, 0x31704b34, 0xc18cf393,
+    0x71de6c5c, 0xba4cdb18, 0xc9680d30, 0x1d2bb8bd, 0x12e19c25, 0xd7bba9de, 0xfd17f6f9, 0x5bf76d53,
+    0x3a68cdb0, 0x8d8ca2e3, 0x3eaa5f89, 0x36530ae5, 0x2b75154e, 0x94fff9db, 0x81e89f02, 0x6a817a2f,
+    0xe9df435e, 0x3852a5aa, 0xabd53c56, 0xe4d120fd, 0x02f65df3, 0x903734d3, 0xd7488185, 0xbdd0a3af,
+    0x8b65a975, 0xb4cce0a5, 0x173732db, 0x29b251f7, 0x274ad7d9, 0x42a0b994, 0xe6d808a2, 0x700f0a4e,
+    0x1e1b3636, 0x72326cd1, 0x440212b0, 0xbcec1fa2, 0x4a2ad4af, 0x45928210, 0x89d73d0b, 0xd67656b6,
+    0xbe06c94d, 0x41b453eb, 0x0a4312d5, 0x41bb517a, 0xf4a83d0a, 0x36dc72d5, 0xd0e7c06d, 0xc03352bd,
+    0x4df30da5, 0xa560df1e, 0x149b548e, 0xb998a4fa, 0x1371f904, 0xa364925d, 0xe1f03a7f, 0xbe344a34,
+    0x0b6073df, 0x390cb03e, 0xe4d95069, 0x35b821d1, 0xc540979d, 0x83e54b62, 0xb431b2e4, 0x13d75e54,
+    0x0c047b96, 0x04e6ba68, 0x297305ce, 0x0d86ff39, 0x5b3b97be, 0x223a3e13, 0x52306bb0, 0x68fcbfd0,
+    0x2d82b0c7, 0x051afdee, 0x56b634d3, 0x12a33c7a, 0xcb743df0, 0xe87ff2ea, 0xc4245d0d, 0x9ba0f8c4,
+    0xde951978, 0x079b8b9d, 0x32a1ea5b, 0xcc22af58, 0x2654da58, 0x57e257ef, 0x74f1f642, 0x138c0d1c,
+    0x94fe9e6d, 0x01f7aaec, 0x2ff03f24, 0x97a6ec4b, 0x085c32fc, 0x89f05ef1, 0x4062821a, 0x5e450784,
+    0x3611ad8c, 0xbdeea599, 0x2267b1e1, 0x33c9fb3f, 0x2e05f81a, 0x71f47ef5, 0x579aaed1, 0x1765961a,
+    0x5985ee85, 0x2ecc4d65, 0x18f7dd06, 0xa294e84a, 0x0ca65386, 0x00423ccf, 0xe61e375b, 0x56a63220,
+    0x45dbb19c, 0x65d4a844, 0x585b5070, 0xad379c12, 0x453f9c33, 0x72f84240, 0x37043cc1, 0x5f42a27e,
+    0x21ea2c16, 0x77f59bdc, 0x6ab6b530, 0xd425ff6d, 0xb2eda1d0, 0xd0430337, 0x1dda354d, 0x70e9d67f,
+    0x7618d941, 0x73b1aa81, 0x4e25302f, 0xf5279135, 0xb5027374, 0xea350988, 0x28a1a9ba, 0xaaa347f4,
+    0x71ddcbb8, 0x9fb624f9, 0x0a2c63f1, 0xc7972f85, 0x0307c6c7, 0x61efbbef, 0x7decca24, 0xabfebec5,
+    0x4842adfd, 0xa92543e6, 0xaf41cb63, 0x812cbf3d, 0x000937ef, 0x2b98cc00, 0xb3471f6a, 0xa9d20475,
+    0x41ab56f7, 0xf8c7a03a, 0x1550ddb6, 0x707f2e67, 0xbc7821a5, 0xa6cdb93b, 0x1a08cf97, 0xb77120e4,
+    0x1aa26711, 0x2f1ae913, 0x0cb9596a, 0xcbca23e0, 0xee2f3aec, 0xbc42654e, 0x00772bad, 0x1364318e,
+    0x315e749e, 0xde697221, 0x5b4351bd, 0xd92b4687, 0xcebaabae, 0x2cdadd17, 0x82a5d435, 0x9c119bfe,
+    0x4226e03d, 0xdc4b1df3, 0x99106ae9, 0xca148700, 0xd2599f4f, 0xafb50aaa, 0x1c1ee8d9, 0xebf3c21d,
+    0x093d10c8, 0x0768ad46, 0x4e6f6179, 0x45e62936, 0xfed75c88, 0x204b3d51, 0x458186c9, 0xa53c0f32,
+    0x84c767de, 0xbc052ede, 0xe6690044, 0x098ca093, 0x57de7573, 0x1203d75a, 0x361d8810, 0x1de68816,
+    0x4842d296, 0xbb40df71, 0x3e58e816, 0xcd44043d, 0xa7a016ea, 0x36c6e42f, 0x05b3b09f, 0x7ba1b874,
+    0x72882ddd, 0x6af51546, 0xb760a73c, 0x1dc51607, 0xc1d1b781, 0x92af1664, 0x63a79528, 0xe237001c,
+    0x6e710a3b, 0x6c4f8438, 0x6285c1fe, 0x30bb27b5, 0xabeafc74, 0xb1fa4482, 0x6f704074, 0x92d003cc,
+    0xd232f773, 0xa8e60e8f, 0xc0ca17e9, 0x6529952d, 0x208d4280, 0xb1a8a4a0, 0xb725fac1, 0x6220d62b,
+    0xa5d8703e, 0xb1a86ca1, 0x207e7c24, 0x2f7e2a13, 0xa8a9bcc4, 0x62bbc0e4, 0xfed43c60, 0xed3914fa,
+    0x17eeab9c, 0x167223ce, 0xa6d0f4f0, 0xda94bb2a, 0x739de200, 0x289a8908, 0x9ad30e95, 0x76456a0b,
+    0x55445f10, 0x35eb4878, 0x40248afe, 0x0433e08f, 0x31ec1b50, 0xc313cadd, 0xe0d3a90b, 0x7fefb68e,
+    0xfe8a3136, 0x9d5a018f, 0x15e10038, 0xb4e64249, 0xeaf75fc1, 0x6266b3c1, 0x0d1388b1, 0x7138503e,
+    0x01d0fa4e, 0xfce1679c, 0x9081218d, 0x56a8479a, 0x17c74882, 0xfe6061cd, 0xd73c0ec9, 0xbd4ed6a1,
+    0x1383ab40, 0xbd912833, 0x8c7b793e, 0x41341383, 0xf33b709c, 0x518e12cb, 0xd9aae8f7, 0x5f573a40,
+    0xaccbc5bf, 0xf6cc08b0, 0x2a12195c, 0x8caff983, 0x18c320a6, 0x8ce962ce, 0x05e4772a, 0x827b55bf,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000002935678228467291534861850745986\
+                         67128421960318613539983838411371441526128139326055432962374798096087878991872 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3,
+    0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab2020, 0xb9e16741, 0x9943f7a7, 0x7547ce8f, 0x892faad7,
+    0x00000000,
+    0xf20576ae, 0x8a055aed, 0xffabf86a, 0xf69aa7e7, 0xa5065751, 0x7cae299c, 0x7554e484, 0x471600c3,
+    0xd83ab417, 0x82caa233, 0x09c501fc, 0xe00719b7, 0x0af693ea, 0x5953e662, 0xbdcffdac, 0x8074f2c5,
+    0x1b838008, 0x9e64964e, 0x8bbdd2bf, 0xe0ee25b1, 0x4e776348, 0x31a5542e, 0xf648f675, 0x1741557d,
+    0x55a4ea2d, 0x86ab8b67, 0x5636b913, 0x7d4358c2, 0x935e6dae, 0x28f7bfdf, 0x5ff5897e, 0x8aceac16,
+    0xb970ce22, 0xf61fd6d0, 0x5497d8e9, 0xbcafb62b, 0x5335bec5, 0xa479993a, 0xd1c412dc, 0xcbeccb45,
+    0x2f974b5b, 0x7ddbdf6e, 0x4dc1bc2c, 0xe76f27fd, 0x26c32f0f, 0xb7b982c7, 0xe826d7cf, 0x41fff60d,
+    0xa23c12ce, 0xe7449823, 0xd7b50493, 0x0045d66f, 0x9ab246f1, 0xea47b30b, 0x44f6225c, 0x580cbd70,
+    0xa362d775, 0xd115463b, 0x4b5895e1, 0xff9b8d4d, 0xa94f92ef, 0xe063c777, 0x408b8e91, 0xe373b0e1,
+    0xbac503db, 0xd3120e82, 0x29237673, 0x800f8534, 0xca0a544e, 0xb18d3684, 0xf4c79a27, 0xf6fd10ee,
+    0x11f2559c, 0x126fc1dd, 0x71340666, 0xc0834242, 0x791207fb, 0x3520c55d, 0x5d674c6f, 0xf54efc0b,
+    0xf36b6bd2, 0x365edd53, 0xe19ee155, 0x2243a4af, 0xc1a89a77, 0x48873e43, 0x79951f86, 0xea4e5326,
+    0xa57db9b2, 0x13f29f88, 0x63ef7471, 0xb878c574, 0x4168f7d3, 0x1e3173da, 0x2c871d22, 0x3c84d220,
+    0xfa00d737, 0x120a5353, 0x805e4b02, 0x67d0f6fb, 0x69a061ac, 0xb1e284e9, 0x645ebd15, 0x760a7826,
+    0xb4c775a5, 0x772ef3de, 0x9f3d3ac7, 0x07402bf9, 0x42060ad8, 0x3f80cb52, 0x2aaa80bf, 0xc0d41faf,
+    0x9c76e119, 0x8a4ee327, 0xe40fc779, 0xb6b71beb, 0x3883854b, 0xac04cb02, 0x616e1b2e, 0x4d73be58,
+    0x275e1c00, 0x7896068e, 0xb40797ab, 0xdd592e4d, 0xaf71bb0b, 0xf48c46d0, 0x6e90e04e, 0xed423d4b,
+    0x472bb919, 0x2b4bc8ea, 0x2b1f0b17, 0x0c7de384, 0x10a8742f, 0x477c1d20, 0xa9f66160, 0x47f2bf95,
+    0x785be23f, 0x68f02e0d, 0x89098113, 0x3f9397cf, 0xbcd2711c, 0x99aca4b6, 0x78d4792b, 0xa452fbd0,
+    0xf09d1f15, 0x39318c22, 0x388c00b3, 0xc908d448, 0x184a5188, 0xc38c5526, 0x849c495b, 0x56afad06,
+    0x0da3e325, 0xec9d9fbd, 0x20de4d67, 0x2a635216, 0xa4f21e5d, 0x8983bb5b, 0xeb0841f2, 0x114fef28,
+    0x3bc7c217, 0x050c98b6, 0x5bc8cf73, 0x0735eb99, 0xb5f00021, 0x9ee05283, 0x71168645, 0x8efa8a9e,
+    0x621593e4, 0xf8a48c08, 0xf314147d, 0x605af35e, 0x81fa9f86, 0x46792502, 0x1392dedf, 0x73b88ec6,
+    0xb993d001, 0xb7103255, 0x685f69d8, 0xe61112b0, 0x980061c0, 0xfcee82d1, 0x2eba0d40, 0x4cd73609,
+    0x45f95656, 0xdebd45b0, 0x262d89e3, 0x8bdfc00a, 0x30bba315, 0x014cddf2, 0xa749b2ca, 0x910c3e1b,
+    0xaca9172d, 0x0876e6f8, 0x6393d6cf, 0x7ecf95cb, 0x64a471cd, 0xf8105486, 0x7ad84ba4, 0x9788a23e,
+    0x6e8415f7, 0x26c933d8, 0xf3e91e16, 0x061f1f17, 0x0ec1dee5, 0x5dbf74b6, 0x78be4a51, 0x8b7d2601,
+    0xf6ecf1ee, 0x24d0fbea, 0x76650175, 0xa6637597, 0x6708b567, 0x32e7773a, 0x2696ad1c, 0x957efe3e,
+    0x0d8d3613, 0x49b994a4, 0x91d3afda, 0x9728bb99, 0x25ca2d30, 0x1f83a1c7, 0xf5b46458, 0x90bb1db2,
+    0xc18df145, 0x4758bfb8, 0xc23c1821, 0x0a5f6168, 0x911779a5, 0x40ad8f6b, 0x58f855b2, 0x08c074e8,
+    0xb19f2a13, 0x405ed221, 0x01edbba0, 0xa9cd70f5, 0x19940f17, 0x2dc82679, 0x88cbf5fc, 0x1fe19e3e,
+    0xe84cd169, 0x6b64fece, 0xfd0b9868, 0x7429c51d, 0x2a44108e, 0xf09add46, 0x08693a5f, 0xbe34edf7,
+    0xddac2566, 0x9c181442, 0xfd8e5379, 0x87e43f53, 0xf619d2ea, 0xe6a9c571, 0xffdc1a1c, 0x3905721c,
+    0x0de339d8, 0xf98f7000, 0x7459b20c, 0xe2c6098f, 0x5aa7aee7, 0x5a8368fa, 0xb9f5dce2, 0x21584ef2,
+    0xa3754874, 0x7878273f, 0xce061f95, 0x8d5ce67d, 0xd5dd0426, 0x5e06de57, 0x58190804, 0x169c290c,
+    0x16fac94c, 0x00b72fc3, 0x35d3cf75, 0xcb9d91bf, 0xfc8131a9, 0x0866f1b7, 0x167333cf, 0xc23d6109,
+    0xed5c268a, 0xe5d4adf5, 0x9e7fe69a, 0x08537215, 0x0ceb9224, 0x2ef41625, 0xa7bd9b73, 0x80f8bac5,
+    0x284dcdd5, 0x0236b0b7, 0x7d756357, 0x956fa5c5, 0x64074d28, 0x2f6f2a88, 0x7070d8fe, 0xc09b75de,
+    0xda73c69b, 0x2cffc592, 0x986f5845, 0xe295bcf0, 0xc2937dfb, 0xbbbeb6d6, 0x28dd2f72, 0x32c7f214,
+    0xbf9d3908, 0x243c14d0, 0x92b07345, 0x1599091c, 0xd36c70a4, 0xdca8ac3f, 0x5c7fcc47, 0xa3907e57,
+    0x65339b3e, 0x1ae31647, 0x17d8c4ea, 0xd01ad21c, 0x9206f584, 0x475c5a11, 0x4f952d60, 0x165fd6eb,
+    0xdd99c7aa, 0x7a8f2754, 0x2bea38ae, 0x4fc27220, 0xa70084b3, 0xb3ee9298, 0x6d1edba4, 0x99bd35b5,
+    0xd6830578, 0x8e5ffd3e, 0xc77c5e07, 0xa15f765c, 0x901a2c48, 0x5396967c, 0x92803666, 0x63773347,
+    0x3cef209d, 0x40e50f8b, 0x1db3f1df, 0x7d82ad92, 0x5178f00c, 0xb384b951, 0xbf9266b7, 0x7b1f2ae0,
+    0x1e5db8e0, 0x50b37d9f, 0x1adaec2d, 0x5a605f22, 0x287016fd, 0xffd8c289, 0xfcbd06ac, 0x9438fbac,
+    0xd4734b06, 0xd8c0cff9, 0x2fa0e0df, 0x1e7fbdf4, 0x692d61ff, 0xcaeac42b, 0xf6bc412c, 0x07dfd5a3,
+    0xacf65571, 0x5fea62eb, 0xbe3a898a, 0x1988261e, 0xbf3111f5, 0xc098a011, 0x00cde0ab, 0xc25ca74e,
+    0xa889ed24, 0x892c4392, 0xa3149f4c, 0x74eeee21, 0x6c38ef0a, 0x48960d15, 0x89aa83e0, 0x200ece28,
+    0xe96abbbd, 0xeb813f9d, 0xab2fe320, 0x808643d1, 0x6e2e1c42, 0xae18e565, 0xc52cb37c, 0x14f9db56,
+    0x69e4c51b, 0x47bf9a72, 0x90b259a3, 0x5bf086dc, 0x4f72baa1, 0x99deb1bd, 0x8691bcae, 0x8d47274c,
+    0xe424928b, 0xf9bf06c8, 0xcda012de, 0xe10960d2, 0x05981622, 0xe17b0995, 0x9ae19348, 0x0177febe,
+    0xe503e6d3, 0x3b7ddf0b, 0xea7bbe2e, 0x35fdfa54, 0x5509ccfd, 0x36b045f8, 0xfd7332cd, 0x30210d34,
+    0x662f49b5, 0xd6c1a8e8, 0x12d90320, 0x230fdbb4, 0xafc04546, 0xfd5e7563, 0xb8c9d64b, 0x7efdd000,
+    0x3e92ca1f, 0x79c63cbd, 0x106778cd, 0xac58d6aa, 0xec32e93a, 0xbb9cb037, 0x1d077fec, 0x83b96ab8,
+    0x195b159e, 0x59c9817c, 0xdfb5f77b, 0xb4bcceff, 0x329e4e9f, 0x2fc986e6, 0xd6e18b39, 0xc93e856b,
+    0xaf10c3ae, 0xf88addc3, 0xdc3e65dd, 0x3367036f, 0x2ed60a8f, 0x9951badb, 0x5de844e5, 0x90d1fc88,
+    0x415da71d, 0x175113e3, 0xfe8b31c8, 0x498f0b61, 0xce90b8fd, 0xc5ed8abe, 0xe75e01cc, 0x260f759b,
+    0x1561e98c, 0x1a66331d, 0xa019fe29, 0xa560f9ff, 0x4ab4a5ba, 0x87f9e349, 0x2106262e, 0x8d951a88,
+    0x0c28558a, 0x243a3f96, 0xcbf56479, 0xfc9b3379, 0x04d818d4, 0xff2b9cf1, 0x4cb645f5, 0xdf086272,
+    0x567ffcb7, 0xabf84694, 0xd0d6d242, 0x8babf2ce, 0x66952120, 0x657dd7f3, 0x8777d66d, 0x7ecbf558,
+    0x0d860956, 0x06bde4c7, 0x61445ce9, 0x96de1870, 0x3e10dd38, 0x3481ed28, 0x5e64c3a7, 0x12737231,
+    0xc6cd90e2, 0xba28f109, 0x01e6494a, 0xc3bf4fdb, 0xac3ba1f6, 0x5fbf9f38, 0x06e56cf1, 0x369bc862,
+    0x0c9fbc7d, 0x1a4f5cb9, 0x36146a04, 0x9a32fc0a, 0xb01651f3, 0x45249af5, 0xec152b00, 0x4dae46c3,
+    0x79983d84, 0x3ad42490, 0x32fccabb, 0xfac5d6bf, 0xc1141062, 0xe665547b, 0x0528e7a4, 0xd45b6388,
+    0x3de320d3, 0x0d833b63, 0x6d218887, 0x2ab3b443, 0x29f07895, 0x30ccff09, 0x5e0c7f7a, 0x4178c30c,
+    0x65c63b21, 0xea33e02d, 0x7221e22a, 0x86998c87, 0x981392c7, 0x5a2fb7ce, 0x36034b27, 0x52920591,
+    0x6bef9cf0, 0x080066f9, 0xf04902b4, 0xd18f340d, 0xc12d0837, 0xad64c18b, 0xfd1d8b34, 0xd96f0375,
+    0x4565dc22, 0x5161e4eb, 0x00dd41de, 0x233ba3aa, 0x4649a4a0, 0xb48c8d31, 0x9d980dfe, 0x4d215a8d,
+    0xc9575e6d, 0xa3c8dfb6, 0x5dacfee3, 0xb2e530dc, 0x8d3800cb, 0x4736adfe, 0x534b291d, 0x5e7f3172,
+    0x3c573026, 0x4ff9389c, 0x9dcba486, 0x87bbf34a, 0xd5c32cdf, 0x8f333f29, 0xd7a4da5c, 0x2e2ca500,
+    0x0240489e, 0x124b7278, 0x8cbdc9bc, 0x05c2e57c, 0x14f475d3, 0x5029350a, 0x3146deea, 0x07d5f38e,
+    0x0762713f, 0x682c8a49, 0x6f346403, 0x6027e54e, 0x73fc9eab, 0x62a95f5e, 0x106aa053, 0xab016177,
+    0x1dad850b, 0x3c8e1b08, 0x77b9e76c, 0xf4349315, 0x2fa6c1c4, 0x945a1a5c, 0x714ee2af, 0xdb79ff0c,
+    0x7ed151fc, 0xd5cdab00, 0x5758dba1, 0x982e689d, 0x5440b7c4, 0xe52de983, 0x37358991, 0x07970b07,
+    0x6b9c1df3, 0x4d454a4a, 0x6b2e6ef5, 0xe48dd397, 0x92f1d308, 0x8702fcdb, 0x994c306e, 0x7d936077,
+    0x4f384863, 0xdd0bd7bf, 0x1711b2f9, 0x0a87fe30, 0xc907b658, 0x226de4f7, 0x575ee7f9, 0x32ebe222,
+    0x0987feab, 0x520480ac, 0xb845ce1a, 0xb5a9dbab, 0x6e2ac95a, 0xbc7c59ce, 0xc686bcf2, 0x5e734cec,
+    0x986bde08, 0x88546af3, 0xeaf28ffe, 0x44c24be5, 0x1eee6335, 0x880d066f, 0x22bcd10d, 0x3d8d558d,
+    0xf2353fbe, 0x56802f2c, 0xa7ddaa64, 0xdbc4686d, 0x88d63bee, 0xfe0dff10, 0x7fd7ebca, 0x8558b1d0,
+    0x19977a58, 0x3893029b, 0x3dbb1c36, 0x6868e032, 0x1a977f66, 0x04eaf145, 0x82162fe4, 0x247999b2,
+    0xe994ce19, 0xe3764792, 0xc70626c7, 0x5c62af55, 0xf1545da9, 0xa7f055e9, 0xe1d41547, 0x290f291e,
+    0x3da4b462, 0x4056fb15, 0x42a7d95c, 0x4e074fb6, 0x70131ecc, 0xf855f1a5, 0xdd37edca, 0x1e77f993,
+    0xb244bfb0, 0xb0542c7b, 0x6aa9f1d1, 0xd1bd6ea1, 0xdad6ebd7, 0x4641064f, 0x49545e79, 0x073d3eb6,
+    0x4366d806, 0x8ad1fa79, 0x5d0ab618, 0xba49fdaf, 0xfcccaf96, 0x71ee94d6, 0xdd6968f6, 0x13fb1f18,
+    0xaaf80731, 0x9ea0eee1, 0x8de486d0, 0x4ee1027b, 0x20dc4d6c, 0x6a050079, 0xb2489ff5, 0x21ffd1ff,
+    0xea9eb66c, 0xf5585ab9, 0xdb969ae3, 0xc5233ea4, 0x93c07bdb, 0xa687bbf3, 0x99a29134, 0xd22aaa16,
+    0xacd71b6e, 0xed1b710e, 0x122225e1, 0x83103aec, 0xc9d1c261, 0xb30c4692, 0x27375bf9, 0x0cc115fd,
+    0x42f17882, 0x6e9a6b6f, 0x8efa741f, 0xb3085302, 0x4ec25e45, 0xe3edeef0, 0xc69de1f2, 0x80defded,
+    0xed7562d5, 0x74cfe735, 0x02d56146, 0xf9581405, 0x22931371, 0x8b947e62, 0x902f5141, 0xc422f44b,
+    0xad99edbc, 0xc7347b6d, 0x0557a235, 0x081ccfe7, 0x168ce4d2, 0xe8018172, 0xef281eca, 0x377c0412,
+    0x1404c460, 0x9c775706, 0x4fdff268, 0x6580fc02, 0x05a99b5c, 0xdcf7fe72, 0x06ee4d18, 0xd6779c55,
+    0x70a30181, 0xc654881f, 0x0b32ac1d, 0x1dcceda7, 0x6c951e31, 0xbdc806b4, 0xd9b9794b, 0xd9d15eb5,
+    0x3a5f72e6, 0x08ca7cbe, 0x3e4efe4e, 0x2c7f4193, 0x728fc8e7, 0xac0d71a6, 0xce6f9ccf, 0x89c15dc3,
+    0xd5449ed7, 0x8c97abc2, 0x84566989, 0x71eaba85, 0x95a9eefe, 0x1fc7ddc3, 0x66565011, 0x753331d8,
+    0xf905e985, 0x022133c3, 0x8e22cee8, 0x15f86bbb, 0x10ebb571, 0xb804bd86, 0x2dba48bc, 0xb4df6911,
+    0x5104be6d, 0x3e5561ef, 0x3ac60e48, 0xd1b8225c, 0x1d374a5b, 0x0eaf0d21, 0x4459e169, 0x71ac58a6,
+    0x44087012, 0x31e80394, 0x272821d0, 0x69618b15, 0x26085578, 0x58dbad53, 0x092759b5, 0xd7005a44,
+    0x3c29e8a9, 0x57e53efd, 0xe9e90be1, 0x48abd278, 0x0dbc4433, 0xc923cc1a, 0x5f3dde18, 0x60cd79d1,
+    0x8b3b397c, 0xd97a9ae3, 0x206ed399, 0xf952e75d, 0x0e4184f3, 0x6261f225, 0x8c30888b, 0xc3051909,
+    0xf372e42f, 0x3d64382f, 0xa5682377, 0x496d44b9, 0xe623c008, 0xc5e89084, 0x5f7182ee, 0x06d4c393,
+    0x8ed9b741, 0x387c3512, 0xb31079c5, 0xdbddeed4, 0x7a1d378b, 0xe6130c26, 0x2e65d209, 0x210764ef,
+    0x5ccfbeb8, 0xc78ddf10, 0xeec09c60, 0x0d230e4b, 0x5bec52be, 0x0932fdb2, 0xfe593063, 0x6a2c0dbb,
+    0xaea2eceb, 0xe6790cf9, 0xc9462295, 0xbf25edc1, 0xc5afc8d7, 0x81163a5d, 0x7cb8bb55, 0xf4b9f124,
+    0xdf3eb7b3, 0x646d31df, 0x801922fb, 0xfb056a63, 0xccd47416, 0xb5df6983, 0x4ce2e11c, 0x2e49fdef,
+    0xd4094380, 0x102b7e02, 0x0e143097, 0xb8e12671, 0x7284ba33, 0xeb9a44a4, 0x9f140a26, 0x127bc94b,
+    0xfe351b15, 0x004a0ba1, 0xf015acdc, 0xcf05f8cf, 0x179fba6c, 0x83868278, 0x51e73324, 0xe35034f8,
+    0x9ff37089, 0x6dd48d06, 0xbeb55c36, 0xfca46bc8, 0xdf2c6117, 0xf3aecefc, 0xdcd2929c, 0x90877d0a,
+    0xa49597af, 0xabbe6589, 0x6bfb10c2, 0xaadbc5c7, 0xeb0f7add, 0xec4095e2, 0x98cb6228, 0x56f8efec,
+    0x9f51b73d, 0x20b95f2d, 0xad8ac1e0, 0x338f327c, 0x1f810c80, 0x79625b75, 0xeda0d94b, 0x28ec4f5d,
+    0x83cab8b5, 0xe35c8997, 0x64ae9b86, 0xfc187a80, 0x6d74a56a, 0x210b12a8, 0x1b18f37e, 0x9515dd91,
+    0x236d2b93, 0x27bce701, 0xfea43da5, 0xdd267d41, 0x9bdb6b75, 0x4e1118e7, 0xf1bf9677, 0x4c728f08,
+    0x8eff770a, 0xc7f0289d, 0x8c7438c5, 0xec4f444f, 0x941c05c6, 0xa8a04665, 0x2f493687, 0x2057d846,
+    0x6632ee5c, 0x532ebb6a, 0x4126886b, 0xa641b40c, 0x45a32581, 0xbfebd6f7, 0x085dc806, 0x080ad890,
+    0x0d244986, 0x7f2a9d38, 0xdfe83d39, 0x02a2f256, 0x4b5f80b6, 0xcb02b74c, 0x75ad260a, 0xe5a22c84,
+    0x60d20da5, 0x99883b59, 0x6361ab68, 0xbae8ef38, 0x707e3d97, 0x61141097, 0x240de9b5, 0x2d57c60d,
+    0xd1e067ab, 0x24807a04, 0xfdd3d863, 0x6d405647, 0xe913a5ca, 0x2a761df8, 0xf83a4da8, 0x8e38b3b1,
+    0x83955f08, 0x60564c99, 0x951362dc, 0x9c825eb0, 0x580887fa, 0x540f09ff, 0x7c2d0dcd, 0xd892aa67,
+    0x91948bbf, 0x280062c3, 0x07f87ecd, 0x6e85f0e2, 0x0397d3d2, 0xa82f4da9, 0x5a8a4b89, 0xaa50a273,
+    0x979a8a59, 0x3cf23ec4, 0x340b74cb, 0xd50dab56, 0xa080077d, 0xaaabceae, 0xb5eb39d3, 0xcb045b38,
+    0x53f6fe9f, 0xfd26c800, 0x55a0a549, 0x8ecb78e2, 0xb2d7308e, 0x538e6f16, 0xa7e3e459, 0xe5378eb5,
+    0x68392948, 0xa9463e49, 0x6fa2eb6e, 0x8f2a44f6, 0x2550cbfc, 0x637c1527, 0x2bc401a4, 0xb0bf693c,
+    0x213dfcd8, 0x1be55c5a, 0xd98536a2, 0x08b6a135, 0x8a0dc36d, 0x5417f84c, 0xe4980f4b, 0x0c266861,
+    0xe77e4247, 0x5c5523dd, 0x259f6848, 0x1a691269, 0x58114be5, 0x8acdd473, 0x9b242be9, 0x7638e463,
+    0xc871045e, 0x4981aa33, 0xfb0140ba, 0xa598f377, 0x48277a4d, 0xf12a8020, 0x5db886a6, 0x7460e90b,
+    0xd33ba93c, 0xd8530338, 0xcaebdfce, 0xcc39ea04, 0x85de0c5d, 0x42721beb, 0xc529320a, 0x8f5ae3c3,
+    0xefbe6dd6, 0xe15c196a, 0x692d3be4, 0x0e8d42a2, 0x807b9b37, 0x5f4e4dd0, 0x6c33dfd4, 0xbfd95f12,
+    0x5d046068, 0x4e3f8bdd, 0x078486d1, 0xe33731f7, 0x3f3a65c7, 0x11de6e88, 0x8155024c, 0xf59c811b,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000001467839114233645767430925372993\
+                         33564210980159306769991919205685720763064069663027716481187399048043939495936 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9,
+    0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d59010, 0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e747, 0xc497d56b,
+    0x00000000,
+    0xb001fc99, 0xb068fdde, 0x86b66f99, 0x97a910c9, 0x963f139c, 0x74bded1b, 0xf61ca1f9, 0x059d9af1,
+    0x70ab3893, 0xda7a5ebb, 0x26452121, 0x605be163, 0xee1925b9, 0x399220ae, 0x93e11198, 0xfdc1d751,
+    0x30791e99, 0x4052446c, 0x96f1bf76, 0x15d511ef, 0xfcc909e9, 0x131b59b1, 0xb45ab4f0, 0x7128a81e,
+    0xcc23516d, 0xbbf10407, 0xe757d406, 0x670077ef, 0xba3975a7, 0x675ac2b5, 0xae810157, 0x654273bc,
+    0x72080821, 0x21ad2613, 0x95ef53f7, 0xbde293f3, 0x9b260894, 0xa08cb72a, 0xa94613e7, 0xd500f82a,
+    0x4309a5c6, 0xa69461e6, 0xc381be10, 0xf4911417, 0xfe46560a, 0x83f72c85, 0x09467b57, 0x477a33e9,
+    0x3d45c6e0, 0xf7d61a60, 0x3a9fb3f9, 0x31d34b23, 0xfaae0172, 0xa181ef1b, 0xd093b037, 0x0b7aa1cd,
+    0x9bb7d96c, 0x977089f0, 0x9de9e5b4, 0xde4f216c, 0xdbe8135a, 0x59088983, 0xc7db2923, 0xd0517961,
+    0x2a588e85, 0x09033f2f, 0xd95eb13f, 0xc45cac2b, 0x74d768da, 0x8faf9490, 0x2cc89379, 0x2bbb0727,
+    0xd0976052, 0xe7634247, 0x19ce016f, 0x53eb4c3b, 0x5935406e, 0x9624930e, 0x81e416b0, 0x781f91c9,
+    0x0336e589, 0x8cb190bd, 0xd32daabe, 0x4f596603, 0x33292194, 0xf78fc094, 0xb86d8ea8, 0x178fac9d,
+    0xd195f63e, 0xc17d2e08, 0x685825d8, 0x951047b1, 0x016a91d1, 0xdcdf7208, 0x80fe4d2f, 0xd52967bb,
+    0x1eeea852, 0xeaa4f7b0, 0x3a9200cd, 0xeedbb112, 0x532fa920, 0xce38b25a, 0xdadc7aab, 0xfc77f69d,
+    0x5592f231, 0xa683e39d, 0x3200ea3b, 0x0be5826b, 0xf4f719ec, 0x94ada752, 0xb496a717, 0x90099c7d,
+    0xc7a32b63, 0x87af0998, 0xc3be347e, 0x55e518ad, 0x7871a74a, 0x4dc00302, 0x258ea4b0, 0x5f1a143b,
+    0x48244b6d, 0x651fc37e, 0x09a5f1f7, 0x13643216, 0xe91b1414, 0x623c5c2e, 0x29cdabb8, 0x8af4c2be,
+    0x5a9db35a, 0x44d1c178, 0xb103e4f7, 0x6903d003, 0x469b0bb0, 0x21678ff7, 0x66120c9a, 0x09374e73,
+    0xfcf3b9bf, 0xac151d5f, 0x755c4673, 0x61b63eb2, 0xf77f5bb3, 0x5741b339, 0x9a44ad54, 0x00d1339e,
+    0x49458d81, 0x16d3fb2f, 0x60c9f527, 0xbc799245, 0xb7283239, 0xd100b0c4, 0x129b3be0, 0x0ddfe304,
+    0xf177a767, 0x1dffacd7, 0x9756689e, 0x5be73a02, 0x54677a8e, 0x044957af, 0xd2773527, 0x0100031b,
+    0x7fecec46, 0x10a90874, 0xef485fe9, 0x7ae7a14a, 0x116c5ca9, 0x57ee730b, 0x1c1785c5, 0x0cda0e32,
+    0xb09870f0, 0x215e8926, 0xf92e617c, 0x4e40b8c7, 0xdba2e15e, 0x45673e85, 0x2a64e7ec, 0xee4a3963,
+    0x102c17f4, 0x2861ef1b, 0x31dc1587, 0x19ce1863, 0xcdad396b, 0x8597e843, 0x6acb2248, 0x42fc8568,
+    0x1d390da2, 0x4d2c7249, 0xd2b323e7, 0x9c2e95b3, 0xf4d35e18, 0x1a50c363, 0xeea6a894, 0x84d754b5,
+    0xa4477733, 0x4385055d, 0x3f4ed5d9, 0xda3104f9, 0xf087dfbd, 0x4c8f3e27, 0xdd6cccf2, 0x2699c696,
+    0x689db6ea, 0xe9338e42, 0x4a8fdf49, 0x03e35f47, 0x3054214e, 0xc5f0b7f5, 0x397a048d, 0x0d346f78,
+    0x977839fd, 0x11bfca75, 0xd4182ff9, 0xddc80c60, 0x65e2fae9, 0x32ef787e, 0x45e5d9e3, 0x5e82778c,
+    0xab8008b7, 0x90c9d5c0, 0x6b1fd0d8, 0x0c89602c, 0x07a14dff, 0x86735e87, 0x31058223, 0xc72ff28f,
+    0x48f021c4, 0x5e5cad95, 0x00324b62, 0x887b0576, 0x3ea43bfa, 0xc2a9f2fa, 0x7e4ea636, 0x09b99c6c,
+    0x0eb42a51, 0x8fef42a7, 0x741588ac, 0x5da22421, 0x62da4a5f, 0xb1ffd85c, 0xccfedeb2, 0x426de057,
+    0x54751c7c, 0x793c9231, 0xffc8a1b8, 0xc6cb2eb9, 0xa492fda1, 0x4be3e005, 0x2bef0423, 0x1e8789fa,
+    0x92927173, 0x43a6264f, 0xd2958592, 0x0dc306bf, 0xdfc660ee, 0x1410e6bb, 0x88779ca8, 0x418540c2,
+    0x2275662d, 0xebdc64f5, 0x8a43da26, 0xca4d170f, 0xa103e792, 0x3840c0b9, 0x1c3ebd6b, 0x0999ed75,
+    0xcbdc198f, 0xfc6f5553, 0x4d6c490c, 0x2c387838, 0x46d820f8, 0x2326529a, 0x55cd14bf, 0xf4cb4d10,
+    0xabee8df1, 0x5b410b37, 0x900e8826, 0x22aacb02, 0x97bb9ae0, 0x28a3a45e, 0x81a8fce1, 0x64ec3ed7,
+    0x2e8699a0, 0x8ac85a52, 0x9d22826e, 0x45235306, 0x314cce8b, 0xb388dbd5, 0x1f89a4ec, 0x45e8631f,
+    0xdd7f0b2f, 0xf0980d99, 0x4e71b65e, 0x7f986a72, 0x00052aaa, 0x4f7b3cdb, 0xfb51f2a1, 0x9db0f279,
+    0x5058778c, 0x61562b3a, 0xa742da9d, 0x6af9f180, 0xd6647c6f, 0x5cfd36cf, 0xfb17a980, 0x24d3c7e5,
+    0x288b9f0e, 0xadfecbf3, 0x563b342e, 0xaa176a63, 0xf21b0846, 0x4affe0ce, 0xc091c91e, 0xa4d3e07c,
+    0x2a3b7658, 0xe56c36ad, 0x4e1ca5ff, 0xfaf6a399, 0x5b60d857, 0xc48dc7f2, 0x77edfd77, 0xcfc63ccb,
+    0x45825d66, 0xe14be913, 0xd79e0d3f, 0x7b30f8a6, 0xacd2a663, 0x5c852978, 0x8f994235, 0x0c60ada9,
+    0x56c80e12, 0x667d8cc2, 0x24e25349, 0x1cc2aaa2, 0x310b7da6, 0x7d413c6d, 0xda54f9e5, 0x9c94e864,
+    0x0c16e675, 0xebe3ad3b, 0x016c4f9f, 0xf91fb710, 0x544e19e6, 0xbdeefc0c, 0x6c752f36, 0xd295e773,
+    0x1debff6b, 0x59d02402, 0x2016c57b, 0x57927cb5, 0x350760cd, 0x4407f4fb, 0x6fd3137d, 0x783c6313,
+    0x402df9d5, 0x437a3570, 0xc1e26251, 0x2215ea14, 0x88928fe2, 0x1f121b40, 0x56c39b72, 0xfabcea2a,
+    0x75af1cb3, 0x1a13c8d4, 0x25ca768b, 0x10daf394, 0x25f9c5a3, 0x43f5b3b6, 0x8ddb50ee, 0x5a6c4c96,
+    0x06275eee, 0xa19ea1b0, 0x96fd2c9e, 0x4baaaffd, 0xc358cd1c, 0xd7bc6f85, 0xa44f8c0a, 0x0c4c48c7,
+    0xcf0f9be6, 0xc868e8e1, 0xac8581bc, 0xb03d6065, 0xca807dae, 0x6fc5277e, 0x48c4fc9a, 0xf7b7e30c,
+    0xeed72bec, 0x6756564d, 0x6d668e3b, 0xf15cd34e, 0xbee0ee8f, 0x6f556b55, 0x2f878407, 0xe20e5fdb,
+    0xb79ab8fe, 0x143ffc3e, 0x715e7d33, 0x9e9a4118, 0x0398485c, 0x03bef322, 0x959ce47d, 0xa4461c4c,
+    0xc6b17a03, 0xbcfcbe9c, 0x9fcd70f4, 0xe2aa0ead, 0xc36114cc, 0x47348877, 0xcb82f35c, 0xd6f01170,
+    0xbce5b0d9, 0xa356acb8, 0x7b8d4a30, 0x17eb36b8, 0x90b99a83, 0x93a89bd3, 0xfc1c3a98, 0xf2eda90a,
+    0xe2ce5ccb, 0xc1b8fccd, 0x6a9e551b, 0x3a0942c9, 0x78c0955c, 0x82736f15, 0x76759d1f, 0xa400dcae,
+    0x35eb3f43, 0x2203eb0b, 0xed6006c7, 0x2be7b611, 0xc7366605, 0x75e9d02a, 0x85e5515e, 0xb7a6e218,
+    0x40755644, 0x41988db2, 0x50d56263, 0x9a0651bd, 0xf18ac464, 0xdf3b1cbc, 0x454a4875, 0xa12efd7a,
+    0x47b22dd2, 0x14c111f7, 0xb7d0da88, 0x4353c9c8, 0x83ace1f8, 0xe1a58c9b, 0x2306a320, 0xe54d7ffe,
+    0xdbaf593a, 0x428853fd, 0x43a573e3, 0xbcd437f7, 0xe8a312d6, 0xb9f43b52, 0xafa1b045, 0x4f7ed6da,
+    0x511ef7c6, 0xdd057b50, 0x522cf414, 0x91844245, 0xc61b1a6c, 0x7dc1a82f, 0xa72d85c9, 0x0f4abe13,
+    0xde95969e, 0xb57a04b8, 0xc7c81b5a, 0xec98fc44, 0xa69e9ed0, 0xc74a16cf, 0x6adf013f, 0xa078d956,
+    0xc1096765, 0xa3755153, 0x19faecd9, 0x53460c7b, 0x3e8efdaa, 0x1d8cf054, 0x9d887f59, 0x15883512,
+    0x2c9946e8, 0x43d942f0, 0x97137f92, 0x3b48548f, 0x3c7afbee, 0x48d3921a, 0xc096569a, 0xc3bcd339,
+    0xa2c46b98, 0xeb284614, 0x4cfa7be8, 0xa084923b, 0x52bef940, 0x816f61fd, 0x1ba47c0f, 0xcaf3e3ca,
+    0x9c99bacf, 0x3e5cfaf1, 0x03ad42a3, 0x9a714062, 0x43fb217f, 0xe7eae215, 0x8d6fb7ca, 0xb55c724d,
+    0x56550ccb, 0xb1c05c25, 0x2ccf48c1, 0xf7f66682, 0x2e04b83c, 0x2f95d071, 0x9d0276e7, 0x7d0e6aa1,
+    0x7bdf035a, 0xe3e21b90, 0xecc9a9ea, 0xc1afd73d, 0xd127c059, 0xd51c24e3, 0x2a90a07a, 0xfc74f5b1,
+    0x7e7a40be, 0x848ec9ea, 0x9f71a9d8, 0x832b4faa, 0x84415e31, 0x7a07d23f, 0xcb4f6ffd, 0x38794ed8,
+    0x59e28828, 0x93167d93, 0x6c421071, 0xcebd6cdf, 0x86721791, 0xa47478a8, 0x952a32c9, 0x3d5a113c,
+    0x231ed0d2, 0xa4240846, 0x09d26627, 0x0edad516, 0xb2bca954, 0x83a92d11, 0xcdda87ba, 0x228799a1,
+    0x51f11d33, 0xd923cb90, 0xc4cd5518, 0x9d55feac, 0x8b10f7d0, 0x41a73e7a, 0x02d41604, 0x1fa99dc3,
+    0xffb1bf92, 0xd051ef52, 0x531390e1, 0x73deac24, 0xfb9cb7b9, 0x0cb88347, 0x1a2d2168, 0x40190474,
+    0xd0eedcf2, 0xb985b242, 0xd9642bfd, 0xbb8a1c9f, 0x94b4596c, 0xc4e1566c, 0xd66ad482, 0x369cc864,
+    0x29b8647d, 0x2f5271a4, 0x8df2e672, 0x0dd58c4c, 0x931f2e08, 0x289315b6, 0x0b6e9874, 0x72993cc2,
+    0x5e6c7215, 0x39589c60, 0xc304e23c, 0xb3b1f064, 0x11ed1435, 0x05a4108e, 0x05998079, 0x8a013d6e,
+    0x84dbd5f2, 0x1c9adc25, 0xb90e9d05, 0xbf259689, 0x02e8d845, 0x4efa5298, 0x2f9eddd1, 0x262f403d,
+    0x95f7a779, 0x1ba27a68, 0xb9d3846b, 0x30bbf279, 0x3a5cc0d1, 0x2009d115, 0x347a7449, 0x7df89bb4,
+    0x01ea104d, 0x66a005ba, 0xb187dafd, 0xe50606a5, 0x5f23120f, 0x0dc7aabe, 0x716fc5b8, 0x787a39c7,
+    0xeae301f8, 0xaa42fe75, 0x4368c8b6, 0xb1ff9a8f, 0x9a9c3190, 0x1b3de7fc, 0x38bec250, 0xd00c4016,
+    0x8ca47b3b, 0x19e5ec33, 0x1d910080, 0xbd4accd1, 0xecde460c, 0x869b71e1, 0x66d02bf2, 0x5d1e08fb,
+    0xc17bbc72, 0xc46666a7, 0x8e861f3e, 0x989ccaf1, 0xd481e5cb, 0x8fdb262e, 0x6d24d747, 0x0b1acf3a,
+    0x308a464c, 0x128ebed3, 0x9a1e4e24, 0xa823cddf, 0xe0087ed8, 0x2f6128f2, 0x2eddb3b6, 0x63e1c8c0,
+    0x9950f951, 0x04de4fda, 0x10ee9738, 0x62e4da63, 0xb601f507, 0x302b0c03, 0xece68a41, 0xed9fbdc1,
+    0x2459cf74, 0x5c6d3e4f, 0x9f2a9030, 0x0302fda2, 0x44bd3a32, 0x5b1db113, 0x0eab8398, 0xa0dea4dd,
+    0xe0812d5a, 0x54e408aa, 0xa47d2df9, 0xe8e9af92, 0x9c038817, 0x2a781670, 0xaf9c6c3c, 0xf7229996,
+    0x6ffa4e3c, 0x7b0ccd71, 0x9efeecc6, 0xae297648, 0xa5cf3ec1, 0x33d339e8, 0xfc96e0a8, 0xc1392931,
+    0x00db902c, 0x0e5ec4f9, 0x94d01fba, 0x05aa85f8, 0x3e998dd0, 0x3f2e2ae2, 0xfbacfd36, 0x4be67497,
+    0xc8b91af7, 0x91b2f1a6, 0x7b0b1fb3, 0x4e8b8e69, 0x60a4d610, 0xbe3089db, 0x8f7e1e69, 0x8d28b2ad,
+    0xc87894b2, 0x3297c780, 0x8c7f130e, 0x1ce17e6a, 0x436f872b, 0x526db780, 0xc15602bc, 0xa3a065b1,
+    0xa22731f3, 0xdf18fdb3, 0xf4503d28, 0xb3469613, 0xe2e110d1, 0x1adab52d, 0x4e280f43, 0xa11894bc,
+    0x3cbb9f82, 0x0d1f3a56, 0xfffe4217, 0xf5fdf0b4, 0xe6300cbe, 0x1cd03e4b, 0xc3d3775f, 0x60d3e0f0,
+    0xe4b5dbef, 0x20551011, 0xd9b59da2, 0xd3722789, 0xf6c1845b, 0x4cb45a81, 0x15c65e08, 0x7ef31096,
+    0x7d74e14b, 0xdeeb2d36, 0x2b3fd747, 0x5283b17e, 0x95083b13, 0x351a83e1, 0xb84308e0, 0x00bb9fd2,
+    0x76daf30f, 0x6390ea79, 0xfa664c6e, 0xec2e6aa3, 0x84926a6b, 0x77a2e687, 0xa002c0ea, 0x81ed7aa1,
+    0xae2a1c90, 0x227fb6a7, 0x99bd27dd, 0xa4a1de89, 0x6ffe8853, 0x7a8c2803, 0x654114f4, 0x3443b47a,
+    0x0141b6d2, 0xb745459f, 0xe2b26adf, 0xeeb65066, 0x23fa63cc, 0x452e1b65, 0x449eb3e4, 0x5714a5e3,
+    0x852d15ab, 0xe9ea0413, 0xfd7fba70, 0x4ebdd51e, 0x343d619b, 0x9a16b27c, 0x15cb692c, 0x6f70f586,
+    0x6625233c, 0xca000770, 0xfe6544ce, 0x9c6cdc4d, 0x8def3213, 0x4cb2eda5, 0x2e241618, 0x43dabcbd,
+    0x84ce2c9f, 0x05a0ca31, 0xa1fc1b20, 0x0e06894c, 0x45059560, 0xaffa3af8, 0x13c9d387, 0x0c6f416d,
+    0x880711e4, 0xcb0a9d3c, 0x0ab6c51f, 0x4d576911, 0xd25b4dcc, 0x70f9189a, 0x26c9a783, 0x6d8f89b9,
+    0x26cbb252, 0x20be02fc, 0x625fa072, 0xe3498ddf, 0x47daba18, 0x5a8eab39, 0xac26e817, 0xab2c7de9,
+    0xb7017367, 0x1c3a6b34, 0xb3a266a1, 0x90dedba0, 0xee1f88eb, 0x4132e7e7, 0x9ccf0e2b, 0x911975dd,
+    0x824d6e4b, 0xf5afa7ce, 0x09fe2194, 0x42355626, 0xee8ee809, 0x6a6c94df, 0xd4e91ddf, 0x260042dd,
+    0xd5ee0747, 0xfb75176a, 0x1c33a2e7, 0x821367e6, 0xbfe41793, 0xef34a324, 0x8b83cfd0, 0xe0f23ae2,
+    0x38759dac, 0x9be4c6ce, 0x2f9bc482, 0xc5760bd2, 0x8e6bbd3b, 0x6ba27a8a, 0xdf83f8fc, 0x6d7351f4,
+    0x71ff0eaa, 0x0d3b9e14, 0x7bf57580, 0xdf0980d7, 0xa224ba8b, 0x10967ae9, 0x0713ce49, 0x9359f1ba,
+    0x20854383, 0x5ed5190e, 0xcde510c3, 0xb912a930, 0xb5b1003d, 0x044f461c, 0x6dcf96f0, 0xecb11948,
+    0x2c64a9b0, 0x8a2cf2bc, 0xf5dc9c4c, 0x708a0f29, 0x1077c3cf, 0x3135ee6d, 0x52c0cbf8, 0xa3553e99,
+    0x8030a220, 0xe63b2f13, 0x5e0718b8, 0x7a09d19d, 0xb682e8a7, 0x145b577a, 0x45ff966b, 0x7cd1bf91,
+    0x755ad071, 0x79e560d9, 0x1d8d5c56, 0x409e5300, 0xc807fb54, 0x537fb025, 0x9f859784, 0xbcb06deb,
+    0xbebf114f, 0xf067514b, 0x69ff965e, 0xa6dec7fa, 0x101f24ba, 0xe6fa5942, 0x1323b7ee, 0xd6a987ad,
+    0x1bce26e5, 0x630d2d49, 0x231c4ec2, 0x2943b642, 0x17ba6caa, 0x7edcfbc5, 0x95fb81b1, 0x9791f2a9,
+    0x2ab90a59, 0x21028acc, 0x387e838a, 0x3e6aaff7, 0x711eeeb9, 0x420ed173, 0xf8d6686c, 0x3959414f,
+    0x806b7670, 0xa5d6d0da, 0x3e19066f, 0x8ad6bc75, 0xed769ad8, 0x33c6bfd8, 0x3217ff2b, 0x09fc74e7,
+    0x56e5067e, 0xda779dbb, 0xf2117542, 0x36c607ec, 0xea091d65, 0x2930738d, 0x49d3913a, 0x639e0232,
+    0xc176ae03, 0xc3bd5038, 0x349d948b, 0x239e620e, 0x8bc2a989, 0x8285ddd4, 0xbaf9670e, 0x3bfff8b9,
+    0xa4353616, 0xd7e7c1bd, 0x17e8bc0c, 0x0025d0f6, 0x544bafa6, 0x88447121, 0xf79b37ab, 0x8fe66c48,
+    0xae014a10, 0x971c1640, 0x8afc322f, 0x1294dc8f, 0xcd6ffea9, 0x4d341731, 0xdfdb969e, 0xef9c3ef6,
+    0x05b866ae, 0x7a320b85, 0xe072e9ff, 0x3c64295d, 0x249de0e7, 0x80420e2d, 0x35b95c28, 0xee5b2c66,
+    0x733c3051, 0x2b342c0a, 0x23d34f7a, 0xa52683d8, 0x1cdb8f68, 0xb2d18a5b, 0x682490fd, 0x983ddd11,
+    0xd5543f3b, 0xc7e712c1, 0x9960166b, 0x0d9ce72d, 0xe4c88660, 0xcd3b00aa, 0x4b55196c, 0x7ce15005,
+    0x3ed38180, 0x8c6cef80, 0xb76d29ed, 0x2061cf78, 0x1b88f248, 0x8352e990, 0x66cbf0c6, 0x4989db10,
+    0xb3ba424a, 0x4a59d533, 0xae59cb50, 0x4b79c2d5, 0xd0435444, 0x0bf05c88, 0xaa3d533a, 0x4c197c47,
+    0x16268c8b, 0xaa28e254, 0x8d94c0a7, 0xb780d5f0, 0x39650d85, 0x56e72096, 0xd5f49d5e, 0x25046316,
+    0xd30f44f4, 0xc6403b99, 0x6b1d1289, 0xf477022a, 0x9be7bddd, 0xb7126a56, 0xeec01a5c, 0xdf39cf95,
+    0x80f3d1c7, 0xcd356d16, 0x8b7a1be5, 0x678b589c, 0x2fbb87cc, 0xadf7b94d, 0x8182331e, 0x5e918aaf,
+    0xa49dd43b, 0xe753db4c, 0xad5a6c21, 0xb30c4ef9, 0x39fda6d1, 0xa8fcfd37, 0x744d120a, 0x8be226c9,
+    0x7bcb7e9a, 0xd27810cb, 0xdde62016, 0xa35fe0da, 0x7e04c8bf, 0x905c7deb, 0x03ee17e5, 0x55ef3197,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000733919557116822883715462686496\
+                         66782105490079653384995959602842860381532034831513858240593699524021969747968 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4,
+    0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808, 0x2e7859d0, 0x6650fde9, 0xdd51f3a3, 0xe24beab5,
+    0x00000000,
+    0x9618bba8, 0x35d9ca27, 0xa50b32d3, 0x3a1ab8dc, 0x03e21045, 0xc393561d, 0x9dfcca97, 0xa166e601,
+    0xbab509a3, 0x1119de22, 0x29a8b545, 0x5c098a58, 0x12fa4c7b, 0x8d5b91a7, 0x180d094f, 0x2f6a7224,
+    0xeb507e16, 0xa0c4fc7b, 0x51406e5a, 0xde766d7d, 0x4faa020c, 0xbb6a3570, 0x589cf065, 0xf6e32036,
+    0x85dca7f4, 0xe0818597, 0xa9a368a7, 0xc4ff69f6, 0x4aa2eae5, 0x98867793, 0x2fa1ebae, 0xfabcd91a,
+    0x9c304af0, 0x88089703, 0x891fd583, 0x4a4e2c8e, 0x2e5926df, 0xe06ded0d, 0xfd793a4a, 0x84f4104c,
+    0x581a3ba6, 0x282ad944, 0x820f88f0, 0x1e8074b7, 0x3a99057e, 0x70212990, 0x593c97cc, 0x4193aefc,
+    0xd95d058f, 0x114ef8b4, 0x24cfb49e, 0x68c69bf6, 0x5602ea7c, 0x2841db2d, 0x13772729, 0x377b52d1,
+    0x5f3b3d89, 0x0e8c9b94, 0x15ada056, 0xd01e46b2, 0x281633f7, 0xeda6e4a5, 0xff1ac5dd, 0x821eb1fa,
+    0x0d7f180f, 0xca351979, 0x02d8c1fc, 0xc67ac6b5, 0x8f8dd32e, 0x87cd0660, 0xd9e0d63f, 0x3b00241a,
+    0x8c88103e, 0xd0faafc9, 0x22f660a4, 0x80994097, 0xb1193cb5, 0x65ea664d, 0x93140201, 0x262bddd4,
+    0xda180718, 0x5190ae35, 0xc9aa36ce, 0x5545c29c, 0xa664a035, 0xb574ffc0, 0x9dcb8e4a, 0xf888ed47,
+    0x2619ec1b, 0xc5fbb36f, 0xd4bbe7c6, 0xc1642022, 0x9ed1ea61, 0x77ae0508, 0x50ac6104, 0x730267e9,
+    0xeccf4c15, 0xa3f3d779, 0x428b2cbd, 0xd4ed178b, 0x3a78611e, 0x74c17ae1, 0xff597a4b, 0x135aafbe,
+    0x7c4c6de3, 0x2bda9e66, 0xdfac3d94, 0x4df22a0f, 0xa8351e7b, 0x65f9b72d, 0x90354f32, 0x2eaace2f,
+    0x9244c140, 0x17d0e130, 0x1bc6c0a8, 0x0f911751, 0xdf8753c7, 0x8b8bf5d8, 0x2fa7a5cd, 0x6c43fcb2,
+    0x118bdd6c, 0x0124a343, 0xb7dbf900, 0x06fbb6ad, 0xa5f2a15c, 0x4b17965c, 0x74958008, 0x2bfed033,
+    0xf0b16d25, 0xead19194, 0x02602075, 0xfdc42d31, 0xa17573e7, 0x3455fce8, 0x5ae1e28c, 0x02a4754c,
+    0x225a815f, 0x529771da, 0x63ee5bbc, 0xc2e77178, 0xc3c29b12, 0x80379a6b, 0x06a99242, 0x797f9254,
+    0x782f9f6c, 0xd05f6d44, 0x3a4f44a6, 0x84c1a3bf, 0xf2b9373e, 0x92e1fa56, 0x56632e66, 0xc34c3475,
+    0xaaf618eb, 0x402c68b6, 0x4f8d8ebf, 0xf28329de, 0x17f1d2ec, 0x147d78ca, 0xbbf97169, 0x05b883ef,
+    0x64b96684, 0xc393597a, 0x885f4f3f, 0x00955aa3, 0x79bfa5ac, 0xe37c8d50, 0x96773d84, 0xabfcbaea,
+    0x0983039b, 0x455aaf07, 0x5f0cb4ca, 0xe65bf22b, 0x59e0faf5, 0xe8660bbb, 0x2a30c233, 0x3558c7f4,
+    0x51807801, 0x14982f81, 0xe18c5fac, 0xb0eed43b, 0x173164e8, 0x9d8bf561, 0x9384efa3, 0x0e5022d5,
+    0x4e742e06, 0x06b26a74, 0xa317e37b, 0xd04a9c08, 0x9ae601e3, 0xe64618c8, 0xd82ea97e, 0xa59b6c11,
+    0xaf2d5cad, 0xd4494b4d, 0x0bf407c3, 0x673e9427, 0xe2d44baa, 0x5fe96d59, 0x0a2af4bd, 0xbdd293af,
+    0x3a9a394c, 0x61e0eefd, 0xa45cb00c, 0xb935e852, 0xb2a285ec, 0x91404a3d, 0x0a3fc9dc, 0x257ab774,
+    0x1ccbc30c, 0x9163a06a, 0x24d8eb61, 0xb2f2c06e, 0x10fc2ee7, 0x5499f424, 0xd1943a4a, 0x110628fe,
+    0xfa4bc7cd, 0x1da9f138, 0xb28d6c05, 0x9b609d71, 0xd9accd70, 0x15dff35c, 0xc8180455, 0x5289409d,
+    0x92816ebc, 0xa8db5cba, 0x0642fcb8, 0xea244556, 0x7726523d, 0x0850f167, 0x157505af, 0x8d48c92a,
+    0xbe0de2b2, 0x0e0caf8a, 0x151553e0, 0x9ea3d5aa, 0x02cfca11, 0x61fe8c7a, 0x927c31a2, 0x4f0ef9ff,
+    0x95d6bc79, 0xced3023e, 0xc69881a1, 0x2d5bd027, 0x509fd115, 0x9a985de2, 0x6addb4e8, 0x18a2575d,
+    0x5a222421, 0xaac90695, 0xa8d9d9a6, 0xd06ba5a3, 0xa1639f42, 0xc56a4431, 0xf796b2bb, 0x465ebf67,
+    0xa12a926e, 0x432cfcc1, 0xb8402457, 0xf0c06db1, 0x3a427fc6, 0x3f8cf86b, 0xb71ce186, 0x95346e33,
+    0x0a20ca12, 0x47d3edeb, 0xfe118a9f, 0x79dc1429, 0xe5cc0587, 0x0f1f2f94, 0x35dda9ca, 0xb35111b3,
+    0xb4bb8ec0, 0x9ba5929b, 0xf4d5643a, 0xf9b5b4a3, 0xbb7b412a, 0xf94aa458, 0xa2c10736, 0x26373c85,
+    0xb2dcfbf0, 0xd6543076, 0x1239690c, 0xbedb3078, 0xce5dd17c, 0x47cab901, 0x15d488e5, 0x106ebd30,
+    0x8367cbc2, 0xdaaa2496, 0x12000fb7, 0x79ee7cd2, 0xe377057c, 0x6b040861, 0x5d78f748, 0xebc459c8,
+    0x1f4d71aa, 0xd307a044, 0x665dd314, 0x57797084, 0x01f13546, 0x784c9fe9, 0x3f45190f, 0xb8222862,
+    0xcba8800a, 0xe4fbab8d, 0x9ae7d00b, 0xa25ca617, 0xcac8543d, 0x41ca78bd, 0xd23d476c, 0xd83f8558,
+    0x4ca0284d, 0x301407cf, 0x17de6acf, 0xc6cb9324, 0xddf8524a, 0x3c7e59fa, 0xbc76da9c, 0xda2af87e,
+    0xc7adf1af, 0xb227d13d, 0x7a84363a, 0xe596fc64, 0x36fae655, 0xbdc1bb06, 0x20d65b95, 0xad1648fd,
+    0xdbeedab6, 0xfbcbf966, 0xdc5b39b2, 0x902bb2a3, 0xc8a1af2d, 0x07952b2c, 0x071f9c27, 0xf63d26b8,
+    0xa8452e71, 0xaef5cf02, 0x470f9662, 0xedb030f6, 0xf51baf23, 0x320e1dea, 0x08cb00b7, 0x053bb405,
+    0x8f02ee8e, 0xac4e4054, 0xa8f39b31, 0x917d87f7, 0xaee12bc6, 0x69d23700, 0x29bf9b20, 0xd12bbb53,
+    0x39e62ccd, 0x47cd2b8d, 0x9ce9c631, 0x693d7668, 0x29050ac3, 0x2fc30104, 0x4adf7619, 0x6f543ffa,
+    0x0720999b, 0x96ee54cf, 0x9b84c90b, 0x47977a3d, 0x2ca0e8fe, 0xd4a97b8a, 0x5d5ff39b, 0x93c467e5,
+    0x1b28c22a, 0x39662d60, 0x3e981e25, 0x51d12b4e, 0x2b508aa7, 0x845d6d61, 0xd963808a, 0xc1b05542,
+    0x75149a7f, 0xb727232c, 0x6eab2877, 0x3e60f5b0, 0x29c6be55, 0x12ce2f75, 0x719eed49, 0xe270fa97,
+    0x51f0ad18, 0x207e29c6, 0xdd4314f5, 0xa2509aa6, 0x54ef02c2, 0xf230a116, 0x5094a190, 0x83f400f9,
+    0xf94aafb2, 0x19cb6754, 0x6277a9f6, 0xa502d8f8, 0x579add0a, 0x03c7d908, 0x19e0620f, 0x056958b0,
+    0x6b78711a, 0xd26139c7, 0xf9c671f8, 0x1300d61d, 0x571c5341, 0x86850a41, 0xfc2a782c, 0xa9cbf5ac,
+    0xf10235ad, 0x4a2d2c41, 0x0170df02, 0x76eea7b7, 0x8db2fa7b, 0x5684c370, 0x0579c2bf, 0xb42d727e,
+    0x4b087358, 0x7e1f9b63, 0x8f21e53d, 0xc499680b, 0x21ad9dde, 0xa4d64a81, 0xd03326f0, 0xb3a5a1c2,
+    0xe5151009, 0x31450a6d, 0xa4cff835, 0x4968d59d, 0xe1720d38, 0x3e10d1d6, 0x8a4fe7b5, 0x21384d13,
+    0xda5515e0, 0x039b98bd, 0xeb3f7f59, 0xc282d7bd, 0xccce361f, 0xf541c687, 0x441af17c, 0xa50a4d0d,
+    0xd9e5bc07, 0x0633416a, 0x7e0b6170, 0x2c34d97f, 0x18b8aaff, 0xf6fa5533, 0x2d03eabd, 0x9f0fd351,
+    0xbf59de6f, 0xf8c53670, 0x3617c252, 0x6759132a, 0xa66e465b, 0xe65871f7, 0xe9ad8755, 0xf4c5053a,
+    0xa21447d6, 0x10376628, 0x6074bd66, 0x4f900bd0, 0x86411447, 0x6eff1387, 0xca1fee06, 0x1177a63d,
+    0xb69cb998, 0xdbdd6fb7, 0x0cd7576d, 0xd88e4397, 0x1308901f, 0x5ad80205, 0xd9f7fb45, 0x8d504527,
+    0xf7e5acd4, 0x0695e0ee, 0x87ee548e, 0xc2687a55, 0x3992b6c5, 0xaf5e3cdc, 0x2620f092, 0x10e63a91,
+    0x9fcdc680, 0xa931dbae, 0x1b77a04d, 0xbd609761, 0x1949948d, 0x570c3071, 0xa21dbcdd, 0x8154c91c,
+    0x6e05671f, 0xa5fbfa58, 0xe78c149d, 0x9fe4a6f4, 0xb89fb036, 0xfba86b35, 0xe9a00620, 0xc6676c6f,
+    0xcb484d68, 0xed17066e, 0x46e1ab87, 0x7ea9e6d0, 0x5b5d1193, 0x60ee08d3, 0x3f86a7ec, 0x5c5238f0,
+    0x6d8d9534, 0xa09afa3c, 0x3b599e72, 0x11455f9b, 0xb19fea12, 0x133c7c86, 0x898ee2a2, 0xa24d8a53,
+    0x373172e2, 0x4097c607, 0xa7ea087e, 0x6407bd31, 0x84dec2b8, 0x063de31b, 0xfc28a121, 0xc79020b0,
+    0xed61a791, 0x74d806a1, 0x00ff30c4, 0x16e5752d, 0xfc7dc7bd, 0xaa79be13, 0x7135e8e8, 0xff291221,
+    0x25d44e25, 0xa76c078d, 0x91f37a35, 0x99008818, 0xf240ac9c, 0xe290ff8c, 0x447581ea, 0xe5b6ea5e,
+    0x89ac3f18, 0x14b4226a, 0x8cc05924, 0xdcd6b1f1, 0x31791748, 0x3220da47, 0x38dd8f2e, 0x78e35c1f,
+    0x478a7bed, 0x006df936, 0x6f0f50ec, 0xac5e0738, 0x48bf9510, 0x407cb21d, 0xfcdd30bd, 0x20c99dc8,
+    0x02ae4be4, 0xb30659f0, 0xbcd69bd6, 0xbb2d5cd4, 0xbb88040e, 0xfeca46ab, 0x0fdec62b, 0x0647ef0b,
+    0x063f18cb, 0x1155801c, 0x69e3bc8d, 0x537f8951, 0x86ca6d46, 0x6ada929c, 0x184deb5a, 0xe338d0d2,
+    0x806a5766, 0x44ba5481, 0x421a0b6f, 0x3f8327f2, 0x59468b78, 0x33b21a7a, 0x3e74611f, 0xbb2511f3,
+    0x46f9f56a, 0x21204355, 0x421c9364, 0x44d2b3b9, 0xc4bcc612, 0x9a8cba10, 0x91ad8e6b, 0x908d5011,
+    0x528ed2b3, 0x0a821a9e, 0xfc5ccf53, 0xe34bb0aa, 0x3679881a, 0xb36c5e12, 0xe81e2623, 0xe5cb2659,
+    0x9a4a8537, 0x86f70f3a, 0xd9f89bdc, 0xf22bd933, 0xa2a74d44, 0x89c53948, 0x5e448b15, 0x8554e313,
+    0x52afe1da, 0xa6134e45, 0x6dfba9c0, 0xd5d338d6, 0x9b86fec1, 0xd5fdc53a, 0xab93da11, 0xa1630157,
+    0xd6a301e6, 0xf9d4cc61, 0x92799e10, 0x8ddda508, 0x25de070d, 0x7de6673f, 0xecfd04a4, 0x575e8295,
+    0x2eb788f2, 0x60e22c67, 0x0b742252, 0x57969698, 0x9cee9ee6, 0x38429e0b, 0x69208cd0, 0x5d7d6ca9,
+    0x100186d0, 0x07f811c5, 0xc5e5a90e, 0xfa4939cd, 0x8659c817, 0x972afafd, 0x80c54d1d, 0x0d9327e2,
+    0xc586d554, 0xf6356bed, 0x4baedf23, 0xe59da464, 0xf497fe36, 0x10e50a4a, 0x66f0de2e, 0x414f2984,
+    0xadda7b24, 0x354ee785, 0x446edc83, 0x673a5436, 0xbe0a6786, 0xfc2ac94a, 0x31d9756b, 0x26a3c9a2,
+    0xb276ad10, 0x12fbbd2f, 0xa017e0cd, 0x28d62b3e, 0xaeb0dbea, 0x3613d0b6, 0x58a846b6, 0x27ac15bf,
+    0xa3751b76, 0x6a8e7154, 0xa6e72b25, 0xde9e9589, 0x2163bbae, 0xc8779e37, 0xef8279d8, 0xeb76e413,
+    0x2e050934, 0xfc36a61d, 0xae1aef1c, 0xd9c22986, 0xb8d55b63, 0x331dc269, 0x97d210a9, 0xacb17d2a,
+    0xd18cc902, 0x60ccfbd3, 0xecc40f2a, 0x4877c254, 0x6b1f26f4, 0x323a1915, 0x7ee5784e, 0xf8f014aa,
+    0xa12213d0, 0x3132943f, 0x2386c206, 0x02b8bedd, 0xb7a92921, 0xee9e1df6, 0x3bd178a0, 0x23b0abdc,
+    0xf7feb5b2, 0x1a64dc12, 0xf497b8b8, 0x8ba932f6, 0x9898ce96, 0x8204d92f, 0xfb39dfc1, 0xb445c760,
+    0x223e942a, 0x527d6e70, 0x378c13a7, 0xa2069277, 0x86391a00, 0x01452e55, 0xd6c56d6d, 0xdca98f8a,
+    0x6ca10d7e, 0x136add85, 0xa566a256, 0xd8ef3c7c, 0xcb374b18, 0x8b18aa8c, 0x9c64eb64, 0xc6d2b0f4,
+    0x19846a32, 0x73030af0, 0x2394d136, 0x57067412, 0x79a32ec3, 0xad47ab89, 0x568ef620, 0x1743e86e,
+    0xf625973a, 0x3b931f12, 0xf2e1d144, 0x54a930af, 0x42712090, 0xd798e3e2, 0xf001cd1e, 0x7a000c3c,
+    0x48783a37, 0x60fa16f1, 0xaf0ff69c, 0x477c1763, 0x0abd78f6, 0x879d6891, 0x04e01b66, 0x88f93217,
+    0x63633968, 0x8ef77719, 0x93656fb8, 0x4331c111, 0x8f65425f, 0xac4146f2, 0xb5436982, 0xf8a20e3f,
+    0x315b00da, 0x8b4ee8e0, 0x2c21586a, 0xf8b1e797, 0x6e389aca, 0xcc8fc720, 0x52819449, 0xdd9d0de5,
+    0x2e442b33, 0x12019ac4, 0xde6789f7, 0x3a4ed867, 0xeff02cfc, 0xf80d8929, 0xb099d494, 0x77b14139,
+    0x4a45f3d1, 0xb75aeb2d, 0x0df8acaa, 0x69955af3, 0xe399f5b7, 0x0beda420, 0x6bede30b, 0x00e964f3,
+    0x239c90fe, 0x0f780c85, 0x13cb1fef, 0x4e71701b, 0x840679bc, 0xd333f326, 0x9673c091, 0xd63989b6,
+    0x66b5f857, 0x73e04988, 0xec9db233, 0x22c8d3d0, 0x7dcc7b2e, 0xc6a6fd8a, 0x5d3c9ed7, 0x60195c16,
+    0xdadb2f2a, 0x9f86a2d6, 0x1641c058, 0x185b9769, 0x1cccb11a, 0xf7bb5c0d, 0xef53b7bf, 0x056f56be,
+    0x3271d882, 0x76339958, 0x236a51e0, 0xbc7862f8, 0x28160d3f, 0xec763225, 0x6f6d61b5, 0x2542bda8,
+    0xd38e5769, 0x0e470fa7, 0x64066ad9, 0x9f647f77, 0x50667d32, 0xe38ca1c0, 0x6bd1d76b, 0xfbd2b17d,
+    0x35e7aaf3, 0x46928e8e, 0x041583c5, 0x308e6e34, 0x6ebd720e, 0x571823ec, 0x0231a15b, 0x8d07a1ec,
+    0xa64e8abd, 0xebbffff8, 0x69f358a5, 0xae64fdb9, 0xff16e3c7, 0xa056b562, 0x0be4c4f0, 0x9390b4c3,
+    0xb933701e, 0x3fed9d60, 0xc22ce9e7, 0x84c4fbbd, 0x47708c0f, 0xa138bcd8, 0x05750e24, 0xbb1dd57c,
+    0x42b6760d, 0x2ec00452, 0x3b818fd9, 0xfb7ace99, 0xdc9e5f7a, 0x3207b4fb, 0x7e4db1b3, 0xff14c895,
+    0x4648b2af, 0x03b9f25c, 0x5721bed8, 0x7d9babb4, 0x1756ff19, 0xf49c5b2c, 0x4f197e7c, 0x37983433,
+    0x7dc45ed2, 0xe93a2d0b, 0x905bbaa1, 0x5c3eafe4, 0xfdff85a6, 0x0aae7d6c, 0x74b996ad, 0xc0dd3f20,
+    0x6f4ae9dc, 0x600d99d0, 0xd7a7b77a, 0x837c8e94, 0x141b9fdb, 0x70879183, 0xae9258a4, 0x6bce0be2,
+    0xc0fe4284, 0x30cb5b5b, 0xa062b026, 0x945cecea, 0x06f3c9fb, 0xd4545d37, 0x659d1b9d, 0xc067b3ad,
+    0x57bee434, 0x75ba284b, 0x95305056, 0xd1bd29f5, 0x011e3617, 0x23dd8079, 0x6dd7ae7f, 0x32d306a1,
+    0xc260d30f, 0xafb9a196, 0x526d2e02, 0x873b7777, 0x9184cfa6, 0xc0d94a54, 0xd5018eb3, 0xa4760474,
+    0xbad7e18b, 0x4f77613f, 0xec854ccd, 0x0d7bfed4, 0x815c90e7, 0x17d07028, 0xd16d9ebf, 0x1540a395,
+    0xaf383fb5, 0xed9d8ede, 0xa535caec, 0x26363d09, 0x213827a2, 0x5dbbb5d4, 0x5da5c20a, 0xe5e39522,
+    0x8d466a00, 0x39a624de, 0x969dde97, 0x7f561c8c, 0x9c30de23, 0x8dde6c40, 0xf1d57c1a, 0x16f5bf40,
+    0x197612c6, 0xc4cae44a, 0x9098504b, 0x0daee5e1, 0x805d8d79, 0x5fb1ed1d, 0x555c08a1, 0xb1be00ca,
+    0xe70af1f3, 0x966aeabe, 0x9e041e26, 0x26510b97, 0xf1319e92, 0x338b87ee, 0x73c8ed02, 0x67c18d2e,
+    0xe0ce3e92, 0xc01ad326, 0x6dad6a56, 0xc6b2f52f, 0x163d6d20, 0x836c55be, 0xd6a4a727, 0x74444499,
+    0x23463344, 0x66aa7a6d, 0x6b4287ff, 0x95be9d5a, 0x233dc0d7, 0x7a67b33f, 0x4299572c, 0x635d571a,
+    0x82f22989, 0x95835d12, 0x33e05aa3, 0xb5df0b7e, 0x81be6466, 0xcacea9ca, 0x4ea8256f, 0x878a636d,
+    0x99285624, 0x7c06fa75, 0x14ca9ee0, 0xb07aa950, 0xa06cb3e7, 0x876d07f6, 0x2bdd7890, 0xfdc445c3,
+    0x52cc66bf, 0xa1bfe674, 0xa0c08a25, 0xb66882b8, 0x6c9bb20d, 0x72f2a2b6, 0xd54107cd, 0x1a17b807,
+    0x316fed8c, 0x97cff348, 0x7a805243, 0x7d902c72, 0x3887698b, 0x5ab672ee, 0xbb332a6d, 0x6734388e,
+    0xab42e1e2, 0xd09f9911, 0x6c118150, 0x5cee7c75, 0xd1bd5c90, 0xf80b49c3, 0x47f381b0, 0x4e5f7cc9,
+    0x64951a2d, 0x48c500d0, 0x1adda524, 0x9fe42380, 0xed4e2996, 0x31e238fa, 0x2709ec45, 0xb41f47bf,
+    0x84a600b9, 0xb9b6b71e, 0x8312ce68, 0x84d3f504, 0x1de4082e, 0x92b5c9d8, 0x94e7257c, 0xbb72c307,
+    0x75895774, 0x1eda1907, 0xe443a206, 0x79cc5587, 0x422d25f2, 0x9f448acc, 0xc5d51dd0, 0xd9a6056f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000366959778558411441857731343248\
+                         33391052745039826692497979801421430190766017415756929120296849762010984873984 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa,
+    0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56404, 0x173c2ce8, 0x33287ef4, 0xeea8f9d1, 0xf125f55a,
+    0x00000000,
+    0x8a9bd288, 0xcc2d625b, 0x8893a3b6, 0x3177ba0f, 0x2f552c9b, 0x4219ad1d, 0xd9765deb, 0x1c2a78cf,
+    0x58e5d54d, 0x7ed60a22, 0xab732d40, 0x63a6e5b5, 0xfe22e9d5, 0x706a134d, 0xc59c0f21, 0xf893b04f,
+    0xc95a9564, 0x0852b2de, 0x1ed01281, 0x8b0b69ad, 0x33caf944, 0xfa6fdc17, 0x13ba741c, 0x0045fccc,
+    0x075f4bb2, 0x2ad33746, 0xc6ebd7cd, 0x28c58d38, 0x733d175e, 0x188197f6, 0x58ff4b11, 0x51381d0c,
+    0x021d0348, 0xcd3fa747, 0x0e1d60b7, 0x53076c01, 0x6e9d49c2, 0x4bad6eaa, 0xe6378b03, 0x748722b5,
+    0xa9bdbd16, 0x49189ec0, 0xd781517c, 0x9d9736e2, 0x93b9de26, 0x8a53feda, 0x4ed0f091, 0x8caa81a1,
+    0x354bf420, 0x2b70a4f7, 0x0a50e0c5, 0xed5743be, 0xed35a515, 0xa8436547, 0xe254b1b9, 0xee86116b,
+    0xfac2ff6e, 0xd9dc4cc3, 0x7c188518, 0x6167a727, 0xbd4cb896, 0x0ebeb625, 0x84f8b36f, 0xbb3409df,
+    0x70b29aa1, 0x842f1d71, 0xaba1b2d7, 0xf3a2279b, 0x78651709, 0x2961f094, 0xcec204e1, 0xea57db48,
+    0xfd39ac05, 0x2c613ba1, 0xf767dd46, 0xb558c4eb, 0x8fc07587, 0xc4f8e226, 0xffcc94a6, 0x27ea47ca,
+    0x3f333662, 0x173e8096, 0xf350f988, 0x07020034, 0x9a928779, 0x27cf3687, 0x53c2bcb5, 0xaf861826,
+    0x509b540c, 0xf10b7cc8, 0x46f2bef4, 0x86a98412, 0xa70d61d0, 0xa0205f60, 0xb5fdce64, 0xe81681f2,
+    0xfcf0bdab, 0xea80bebb, 0xcb7669fa, 0x39756578, 0x68eb8bab, 0x39668096, 0xb48a74a0, 0x0322f13d,
+    0xecd39b76, 0x97d55785, 0x047e1858, 0x4bd61d5e, 0xa6aa6d3f, 0x5e04b846, 0xcc220cdc, 0xb6b5b572,
+    0x7ce66593, 0x5a3be1ee, 0x18ed4417, 0xa19a224e, 0xf96a2b73, 0x25943e64, 0x102904e4, 0x755408b4,
+    0x4f8f0d21, 0x6b6fc387, 0x8a3e8fbb, 0xb3addbe0, 0x87ea2d74, 0x858c7f33, 0xa70c0a77, 0x5d684946,
+    0x65b0506d, 0x4965ca99, 0xca437815, 0xc415c708, 0xa58c4666, 0xe26396fe, 0x0b1c0bba, 0x245e9742,
+    0x7898205f, 0x8b8dd3d7, 0xd5941056, 0x6f819048, 0x81ea95e3, 0x6d88ac7a, 0x67e606e4, 0xfa7b3309,
+    0xed0055c6, 0xc8989b23, 0xef1d1c16, 0x72d3eb84, 0xabf6f691, 0x6da3a464, 0x89e5372e, 0x4a5b24f7,
+    0x3e53c081, 0xcec2f42e, 0x86265fd6, 0x74f99378, 0xb2d50069, 0x30382425, 0x150dfeb9, 0x9c7f3c0d,
+    0x23a6d85e, 0x8e5f1ca5, 0xab7b808c, 0x1da6d3d1, 0x7572a7a4, 0x4e198b3e, 0x42cf7641, 0x8f05a22b,
+    0x022d49b5, 0xc1e93e69, 0x0c152a4e, 0x4456d9b9, 0xd1773af8, 0x97cd9952, 0xf70a58dd, 0x86060a79,
+    0xef82cd61, 0x759e0738, 0x1bf17854, 0xe79fff39, 0x35e90a90, 0x26297180, 0xa75fe932, 0xba9b5d54,
+    0xb5f8c737, 0xf23797d1, 0x1a9ad5de, 0xf8e88ba3, 0xe10a708f, 0x25d48dcc, 0x24bcbf40, 0x662f3581,
+    0xcc459836, 0x5de94be3, 0x1a50cdf4, 0xb631c249, 0x8f011f3e, 0x49304ae8, 0xcbea1ca7, 0xfb71d03b,
+    0x28bc1082, 0xf9695369, 0x66fa95cf, 0xa42e792b, 0xea03e0cc, 0x5219ee8a, 0xffed08ab, 0x85fccb26,
+    0xf40d1de8, 0xcad7f9ab, 0xc4515476, 0x9cafd9cd, 0x61d37da9, 0xaf44f275, 0x31e2205b, 0x6fff7c16,
+    0xfe2169ec, 0x731fcbd6, 0x73067ff1, 0x7bbe5030, 0x2b923b55, 0x93b24e70, 0x5a17fca0, 0xd344e5ae,
+    0x3f275a00, 0x467b841f, 0xae23858e, 0xd511ef3a, 0xb2e49f8c, 0x8e16a85c, 0xd563a5a4, 0x1e1dcf12,
+    0x321f71a2, 0x9beecbef, 0x0927b393, 0xf3532583, 0x4703ffa4, 0x87b0d307, 0x8dff5b0b, 0x0eb9e98b,
+    0x45f0efb5, 0xedb2f678, 0x6807a4eb, 0x6ac8e4a8, 0xce553dd2, 0xf792d579, 0x88483d69, 0x5ba35343,
+    0xe1b45e2b, 0xf06563a4, 0xc9b105d3, 0xb2476ef2, 0x9e53eebc, 0x1ee069ca, 0x0bc97ee3, 0xb574a896,
+    0xdd2376cd, 0x8791f790, 0x3dda5373, 0xf68ca72b, 0x44762adf, 0xb2f41e2b, 0x448756f2, 0x1ce57ba4,
+    0x242bbc26, 0xdea2e18c, 0x4385f321, 0xefea4411, 0x961221ba, 0x8899e0f3, 0xef5aedc2, 0x0577abf5,
+    0xe8683b57, 0xb03ddf64, 0xaf824ce1, 0x32443f56, 0x3b3729d8, 0xf744a815, 0x87118896, 0x5bbf14c3,
+    0x5949a83c, 0x8d926be5, 0x689e4971, 0x9c4416d2, 0xa6b2e94f, 0xa5d51a98, 0xd58eeb22, 0x79f3cceb,
+    0xa020640b, 0x0edb0764, 0x856ca92d, 0x04f3c86c, 0xd855fc2d, 0x03c7aaac, 0xf14d12a8, 0xd0d29c5c,
+    0x452ec8de, 0xd17fdcc8, 0x245043f6, 0x122c8a8e, 0x7b4f5c68, 0x24ff3c25, 0x54b4fe25, 0x25e6af74,
+    0x78c94bed, 0xf610bf38, 0x0a8f4363, 0xcd842758, 0xc639db7e, 0xcfc29ff8, 0x9cedc95e, 0xda2687f2,
+    0xf1015303, 0x2af2eff7, 0x8d6a9358, 0xa9895297, 0x88218d5f, 0xb0224736, 0xb3af00dc, 0xe72f90c5,
+    0x925e5a0b, 0xfb586256, 0xa9d9db76, 0xd00debe1, 0xf7ff8375, 0xac74ab6c, 0x4dfeece9, 0x37d6e7da,
+    0xc6ba1b94, 0xbf99e1ff, 0x36103f72, 0x5d514e58, 0x88e6c327, 0x59ad91d7, 0xf3d2d993, 0x4c3b1038,
+    0x6b913bab, 0xbef24820, 0xeacd5d8f, 0xc79f0561, 0x35d253b2, 0xff5f87a4, 0xc6038655, 0x150eab54,
+    0xa04ca37c, 0xb69fa427, 0x8a79df3e, 0xa09d3b5e, 0x6ba0af89, 0x63658a02, 0xebbbbe28, 0x73f46a28,
+    0x3451e7d2, 0xc0a86d93, 0x9560758f, 0x50b4437b, 0x17b579e1, 0xe45b5e8c, 0x7df9d5d7, 0x209c3ca4,
+    0x5f1dad12, 0x5782723a, 0xaa8ae809, 0xf078f6ea, 0x94b5264a, 0xb4afea73, 0x5359b4de, 0xc15877d8,
+    0x05be9091, 0xa7dd3c4b, 0x8e393ee0, 0x77d9ed75, 0x438eddcd, 0xd09dc050, 0xe9fd71fb, 0x8d14840e,
+    0x878d4009, 0xb38f5f8c, 0x7025f991, 0xe71aec07, 0x39c5f665, 0x8f9843df, 0x2428e462, 0x68ad56ac,
+    0x62d7af60, 0xdd5868cc, 0xd4bb2bea, 0x9da96333, 0x1d9cd96a, 0xed1b7fde, 0x680daa9a, 0x2e04063b,
+    0x4990057f, 0x55156a7a, 0xa190752b, 0xa0006dc1, 0xd819fb55, 0xa45f011d, 0x6f4454d5, 0x519904be,
+    0x9e42f807, 0x73c8c8aa, 0x16d25ce6, 0x2ad02e96, 0x117e4c26, 0xa7fad792, 0x8aa638b9, 0x0919b215,
+    0xef305319, 0xea4f9784, 0xc0f8f535, 0x38c88f50, 0xd0ccce48, 0x5e6466a0, 0xc1b0dabb, 0xca476ef9,
+    0x1ed0c5a6, 0x7a2557d3, 0xb7e3fc96, 0xa34cd891, 0x27f9652e, 0x940a59cc, 0xb48b3c94, 0x5701a7e1,
+    0x0f8e348b, 0x379c500b, 0xbcd3e9c2, 0xe1e1e0c7, 0xe5057ae5, 0x0c303a1f, 0xcf1f2bbf, 0x6fcffbf3,
+    0x9acfacbf, 0x011b39e9, 0x63813319, 0x7c43d7bd, 0x22dd33d5, 0xd87d5096, 0x0d5bdd04, 0xf4e96a5a,
+    0x29a5c611, 0x7aaf7a89, 0x29fcfc6e, 0xacd4fb71, 0x283f610b, 0x9ed1ab26, 0x63def57e, 0x49338c93,
+    0x20009060, 0xd39a3ce7, 0xfbb0d3a3, 0xeec35906, 0x68c57ca0, 0x2def317b, 0xba61775b, 0x99d3db4f,
+    0x72e62124, 0xed2a69e9, 0x936fbdc7, 0x092a1be6, 0x12c7d974, 0xf4bcd0bd, 0x6cd01edb, 0x17741e5b,
+    0xd4cf5244, 0x6da6de86, 0x062db4d9, 0x633837e2, 0x74bb81c7, 0x122a6154, 0x21632cfc, 0x2fc0b6ca,
+    0x845d68e5, 0x5ed7d42b, 0x808ec652, 0xa254185f, 0xeee8f3c3, 0xd81c2a13, 0x7fe1b358, 0xb40e9cf8,
+    0x1b0f6028, 0x21da7fd5, 0xbdbb69b1, 0x2a583941, 0xa1363147, 0xfe59662a, 0x072a44ca, 0x318db1c6,
+    0xeeb73175, 0xccbad55f, 0x6d88aee7, 0x905e91ea, 0x77c1b9ea, 0xd4726a1a, 0x17720141, 0x81f8a970,
+    0xbb5c2a1c, 0xaea9b72a, 0xbe31837b, 0xf9016656, 0x73069b9e, 0xe9ef72ad, 0x2712a0ef, 0xb440eb9f,
+    0x0e28d7f6, 0x6f762d6b, 0xcfa8a6d1, 0xbb32ab14, 0xad2da3dc, 0x36af08ee, 0x42210d35, 0x1a7079fc,
+    0x9b8b6d70, 0x2b029b74, 0x4397c8a0, 0xcfa52936, 0x28f0975d, 0xd10dc9d4, 0x82510904, 0x6d7484f1,
+    0x436f695e, 0x455a592a, 0xf660dad2, 0x18d25fe4, 0xc4ba7b54, 0x4d3681c6, 0x3f152a36, 0x0f4434d9,
+    0x5cfd2d7a, 0x7caf3610, 0xb5567965, 0x6d104cf3, 0x7ac011c9, 0xc0ad9827, 0xb66608b9, 0xfafb5fab,
+    0x6db5a10e, 0xcd01282e, 0xd3997d1d, 0xac971030, 0xa07c35db, 0x1331c211, 0x7baa105b, 0x201e9596,
+    0x500bbe5c, 0xa5750342, 0xd30edafc, 0xa3957fb3, 0xb01fa5e7, 0x8cc20f9b, 0x92b25bd0, 0xa9eab1b5,
+    0x553b2da0, 0xbf946882, 0xe0755592, 0x861dafe5, 0x3657019a, 0x9c6c039b, 0x00c29f78, 0x1e12e376,
+    0x623056a2, 0x90e4a3ee, 0x722492aa, 0x2f39cae6, 0xde0d982c, 0x40e1256d, 0x24dd965f, 0x32f57dbf,
+    0xe25cf3c4, 0x3bd40125, 0x58d14a63, 0xf9eaa742, 0x38984d01, 0x0b71ad8e, 0xf284267b, 0xad99cab9,
+    0x905cf355, 0xd81aa40c, 0x7660d22b, 0x4cb22b58, 0xdcc428fa, 0xbee31034, 0x4261dac0, 0xa3bbc425,
+    0xd154c9a2, 0x2f709d9b, 0x82b7ece1, 0xbdab046f, 0x32610b24, 0x4523ade9, 0x581a309b, 0xe3f03564,
+    0x9cf40a37, 0x72e331aa, 0x4b59627c, 0x69ebae90, 0xe53d5578, 0xd707d0de, 0x75c205bc, 0x8c12d518,
+    0x00078a77, 0x10c16cfe, 0x30a8a37e, 0x4a3cdc1c, 0xfe4d2db9, 0xdd26b954, 0x07f79157, 0x64289d54,
+    0x88531bc8, 0x45d1a238, 0xfc0a2b29, 0x76df88e4, 0x93ebb832, 0x308e686e, 0x66386975, 0xba4ad0ed,
+    0x436b3291, 0xf14526ab, 0x21c07906, 0xdd468182, 0xb19e4642, 0xcbb4a8bd, 0xb1daa032, 0x50e651fc,
+    0x2cc592bf, 0x2a83b3e8, 0xf597d97e, 0xc2d40a0b, 0x59b7de2d, 0x90ae29a1, 0x341cb053, 0xed368904,
+    0xec527a5b, 0x3f5b9a0b, 0xbea74081, 0x5d367a4d, 0x2a8ef499, 0x1a022c62, 0xf13a5c96, 0x59c4b028,
+    0x744fe6bb, 0x7e07a7b9, 0x0a3bf4e8, 0x3f19ca37, 0x8e05a3a0, 0xa13caee6, 0x173264d6, 0x61925092,
+    0x9e87ad6d, 0xc7857baa, 0x8b29e3fc, 0x0a7417ce, 0x58167111, 0x04a2add9, 0xe10e6b6a, 0xbd8aba17,
+    0xbcbcf2f7, 0x4c90998a, 0xd0a6ccc9, 0x0eb7ca20, 0x91b7964b, 0x8b78c768, 0x9aa68285, 0x6216af9a,
+    0x3cd66d76, 0x1405ba69, 0x0038c41b, 0x0f5cf526, 0xae79836b, 0xdb666aa7, 0x812aaffa, 0x0dc0f60c,
+    0x478eb0ad, 0xfc63734e, 0x7f9578aa, 0xfe2db049, 0x08d09ca7, 0x837e6d44, 0xdb532bba, 0x3018cb08,
+    0x090d59ba, 0xeb405869, 0x1830c854, 0xd9999c8d, 0x493a5f01, 0x92a528a7, 0x1b301af7, 0x9721f3da,
+    0x37eec2b7, 0x27424e16, 0xa17bcae3, 0x282b2dd3, 0x2ca93e39, 0xd3f85439, 0x8a4f9973, 0x7eacb84b,
+    0x3eabf62b, 0x95296844, 0x65ffc634, 0xd3af70d7, 0x56d8d2f1, 0xf4396a9d, 0x61df26a3, 0xa5e51861,
+    0xccabdd97, 0x4a79797e, 0x75d4f9cc, 0x5ed681d5, 0x09c52088, 0x32d49a6d, 0xa3218462, 0x8266c83f,
+    0x4ae1a248, 0x692462b2, 0x51ca03a1, 0x1a47429b, 0x06c70acf, 0x9da31ef1, 0x2191bd00, 0x2fea3833,
+    0x88600246, 0x305cfca1, 0x41eccdaf, 0x459c7141, 0xaeb4ccaa, 0x1a5c1d70, 0x19e69bb6, 0x8ca8b2ce,
+    0xcfef9dd9, 0xa35864ab, 0xa51726a5, 0xbaf8f026, 0xbf851c37, 0xd4251972, 0x9da58126, 0x6468602a,
+    0x010b09e3, 0x653bfe26, 0x1f6004e3, 0xdf319455, 0xc320e7fe, 0xc7e40dfd, 0x8006b341, 0xf4e87e48,
+    0xf0cc6a43, 0x00d2f70b, 0xfdd55a60, 0x9ba4fb3d, 0x1ba8251b, 0xa8361202, 0x186e8fa1, 0xb3b2343d,
+    0x46c961e1, 0xca984ca2, 0xaef40a91, 0xfefccc07, 0x9bc61c2b, 0x8a01b5c4, 0x0c3e55f3, 0xaf645970,
+    0xcde7df8b, 0x83d93879, 0xa26299f6, 0x0a077598, 0x21109ad9, 0x4b95c1dc, 0xefd5eb82, 0xb7098128,
+    0x25831452, 0x8738968a, 0x616f0510, 0x45042819, 0x34a3f8c3, 0x7551c6fb, 0x379936f9, 0xb22246c6,
+    0x5062a2d1, 0x2597c5c8, 0xe0b95325, 0xb4da1dc1, 0x29fbd20e, 0x977f2923, 0x7d9536ea, 0x38120670,
+    0x9a5a0dbd, 0x351b9527, 0x8c5741ce, 0x56be1f25, 0x1fb9ca10, 0xd8f99001, 0x02e6d7f7, 0xee1a48d8,
+    0x9d43e351, 0xf6670192, 0xced4c686, 0x6de5405f, 0x6c1694e4, 0xb57d491a, 0xa449f47a, 0xa0646de9,
+    0x0a8b83e8, 0x7baa9185, 0xd787338e, 0x333e1fb9, 0x96f13d17, 0xb5fd636a, 0x04edb8d4, 0x2bae8c4e,
+    0xbf74ca2d, 0x964071a1, 0x39c591d8, 0x57680ad2, 0xe5c1bf1d, 0xac134083, 0xc29abbd8, 0x19d05f24,
+    0x5f9e41ba, 0xd83f85da, 0x46833cbd, 0xae734cf7, 0x19905ea3, 0xba9aa89d, 0x84f68ced, 0x397e1db2,
+    0x0028405e, 0x5975e2b4, 0x6e9f8621, 0xf7bcf351, 0xf60449a6, 0x419d6345, 0xe1687269, 0x0618fc78,
+    0x25b66c93, 0xf0d644e4, 0x653db02e, 0xd466171b, 0xcd9ffa2b, 0xacddabcc, 0x4eabdda4, 0xa72df675,
+    0xa82b2fb1, 0x5e780156, 0xa3e204bc, 0xe1eecdd6, 0xacc29683, 0xeb647b1a, 0x6ebfae27, 0xa1887495,
+    0xb9e3dd4b, 0x8f5c1e0e, 0x30288d47, 0xbc34dab6, 0xf6e95c58, 0x34af33fa, 0x625e3efa, 0x77c4beaf,
+    0x415dfc3a, 0xa52586c3, 0x6bf73809, 0x58eea487, 0x8feace5f, 0x84dd27cc, 0x6c8cffe8, 0x687fbc54,
+    0xaed9a3ec, 0x00f63d9e, 0x08d88322, 0x9a1cb24a, 0x6e316265, 0x6c9894cd, 0x686bad9b, 0x861bdd99,
+    0xff33c16d, 0x336595f0, 0x55c85021, 0x561f0a3f, 0x0baaf549, 0x1be4e976, 0x40afa98f, 0x803bbdf7,
+    0x0a327866, 0xdcbc86fc, 0x142d80ca, 0xcee9358f, 0xdf2b1458, 0xc3e9eed2, 0xd2ccc011, 0x07b0cd17,
+    0xaea20d92, 0x13fe850c, 0xb72ecd42, 0x6b3ed048, 0x930d6521, 0xdc5956f8, 0x3ea47f06, 0x6ff48bd6,
+    0x49afcaed, 0xac1f7c4b, 0x6a46525b, 0xed7ef484, 0xaec0cf0f, 0xd31e47a1, 0xdf0d216f, 0x6cb9ce84,
+    0xd5ad9ef7, 0x659cee75, 0xb48141f9, 0x0e1a5663, 0x7417314d, 0xdc608854, 0x857dd53c, 0x0b6b3c92,
+    0x0f1003f2, 0x0dbd4e82, 0x59e9284d, 0x116e4f5b, 0xb8d642e5, 0x81668772, 0x279815b3, 0x1f1945a9,
+    0xf851b853, 0xa88a8d15, 0xfffd82a7, 0x2f80ca25, 0xd168da55, 0x863300fe, 0x22441120, 0xc70885d7,
+    0xd12a861a, 0x320cbc09, 0xcbaf542a, 0x22a88513, 0x35055e2b, 0x2f9cb2c9, 0x7644a74d, 0x209d74c9,
+    0xdfb7df14, 0x8cdb5318, 0x334a75a1, 0x0a1448d1, 0x589b3fa9, 0xaa2b8c68, 0x8fe8f37c, 0xd2323cdf,
+    0x3b0efc32, 0x23776929, 0xdb6b6936, 0x5a551404, 0x6acabda5, 0xfdc6b62d, 0x8b2bca4e, 0x128e9cb7,
+    0xe89e48de, 0x89808dd0, 0xac87d691, 0xe8e9017e, 0xea977fc8, 0xeb808261, 0xd2e7d7e0, 0x378d9754,
+    0xfc6d4f54, 0x2e0cedde, 0x202113dc, 0x66251e4a, 0x63a6cc8f, 0x04f9be89, 0x779e5845, 0xcfaa9c1a,
+    0x773c7b03, 0xec3ae75a, 0x05593cf8, 0x0b652b46, 0x08785500, 0xad3148e7, 0x9206cbc7, 0xbab2c9f8,
+    0xc43696e1, 0x55b0e7d0, 0xe8d5612e, 0xca1669a7, 0x2db73848, 0xc8df63ee, 0xdc603dfc, 0xa3938e07,
+    0xf7c7e68a, 0x7d89315c, 0xa99e87a9, 0xd3062e7d, 0xb04bef22, 0xc7ebe347, 0x83a8077e, 0x31b03619,
+    0x0e8a9ce8, 0xfd5f1904, 0xac9ba6cb, 0xd2b61bcc, 0x53fb7506, 0x1b3fe05b, 0x87bd735d, 0xfb0f6ef2,
+    0xf1c11f97, 0x4c73a4de, 0xcd134b85, 0xbca5680d, 0xd1d280e7, 0xf62d740f, 0x69a6257d, 0x481cafd5,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000183479889279205720928865671624\
+                         16695526372519913346248989900710715095383008707878464560148424881005492436992 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd,
+    0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab202, 0x0b9e1674, 0x19943f7a, 0x77547ce8, 0xf892faac,
+    0x00000000,
+    0xbc5f1ab1, 0x0160a205, 0xf4d7ab87, 0x2db6ab01, 0x3baedd2d, 0x52d3023e, 0xabb51cc5, 0xd649532f,
+    0x30bd69b0, 0x1f062649, 0x7f2fbc04, 0x788e69aa, 0xfeeb6a9e, 0x0fd26bab, 0xcceb3147, 0x9f5279b4,
+    0xd863b5e0, 0xe10ee9f2, 0x2abda98e, 0x8102fb9c, 0x64632a67, 0x2cd0d9b5, 0x2e7156e1, 0x2e4ae44d,
+    0x88146e80, 0xd6c81a8a, 0x0b43ed8c, 0x0b381904, 0x7b5b5316, 0xf8f705e8, 0x02d10c32, 0x4dd067b9,
+    0x68f69b41, 0x3e2ec832, 0x13ff5f76, 0x3abb430e, 0x29b7154d, 0x90df778b, 0x9b502ca0, 0x234da720,
+    0xe309f7f3, 0x2cd4b1f5, 0x3993b143, 0x335fd71f, 0x5a0fb46d, 0x35b980f6, 0x4da9fa6c, 0xb1948b80,
+    0x3d22e55e, 0x02a14769, 0xe08d3361, 0x68cda61b, 0x24eaae49, 0x0697b911, 0x1dbaa982, 0x08760318,
+    0xcf64b6e5, 0x3282c51a, 0x8ba739e5, 0x5c125481, 0x6ad1dc75, 0x5ea1f397, 0xb8333e18, 0x211f729c,
+    0x4e80660a, 0xf076425b, 0x76845c21, 0xbe1e951f, 0xdf6de791, 0xbbe90864, 0xca19f1a3, 0x27986882,
+    0xaaf9f939, 0x498b9d66, 0x65a3dcb9, 0x9fcf0290, 0x53dcdc25, 0xa3705585, 0x95183698, 0x24db9b91,
+    0x60a656ed, 0x8bba1e56, 0xd0c3cc8e, 0x640b0b87, 0xfa25ab0d, 0x96a32133, 0x36dfa84d, 0x3243a222,
+    0x0901e781, 0xe1758dd5, 0x8cd65842, 0x2761086c, 0xe7be5efe, 0x29a6d884, 0x22f18797, 0x581d144d,
+    0xfee6641c, 0x59778362, 0x6269b415, 0x32e2b8da, 0x1cd007e2, 0x9dce2099, 0xf2207433, 0xdd20164f,
+    0x91eed567, 0x63ed386d, 0xdcfc08f5, 0xda66b252, 0x19bd253b, 0xd6152504, 0x28234f7e, 0x5fdd50d4,
+    0x74df4d1f, 0x8e3cd801, 0xd5566420, 0x8059d4c7, 0x5755afda, 0x9cd470ba, 0x45220df5, 0x121d53d2,
+    0x5768178f, 0xfa2629be, 0x391dfda8, 0x80677a14, 0xde539b98, 0xc3e160a2, 0x17e53a62, 0x1e270500,
+    0x83528117, 0xedb9eae4, 0x5e88a616, 0x63a6a82c, 0xb6c16b48, 0x0cfe9e6a, 0xa3151705, 0xb6095bf6,
+    0x64d90397, 0x959c76a5, 0xa954a0c5, 0xe33acc59, 0x5643cd2a, 0x1530f788, 0xa43c5755, 0x06a9d7a9,
+    0x18100a53, 0x6508f122, 0xa00df76c, 0xdf03274c, 0xf12018b8, 0xf53a2b8b, 0xa6ab8e34, 0xacd592fc,
+    0x6b0d98e0, 0x07ca1dd0, 0x62eadf0e, 0xf0485d0f, 0xfe865c84, 0xed9ab92a, 0x41ec0c24, 0x5b8dc386,
+    0xc5090274, 0x9e6343d7, 0x8cbf76ac, 0x1f9b5df8, 0x8334a4e2, 0x165c805d, 0x0fbefb2e, 0x2a960a6f,
+    0x13927ffb, 0x2c04a06e, 0xdc0d0946, 0x0667eb40, 0x67ade96c, 0x49a19457, 0x83d49dbd, 0x4be6b2ae,
+    0xbe095f8c, 0x4e2f853e, 0xfa61914c, 0x5d512bb1, 0xee18824f, 0xfc94317e, 0x99650416, 0x2cd45b9a,
+    0xe0257d53, 0x75ee7317, 0xbf34b77c, 0x98d309fb, 0x1dd7d495, 0x77cc31a8, 0x829167c8, 0x3fc72b3f,
+    0x19425f2a, 0x24ac8217, 0xa61b3182, 0x3883bd43, 0xec3f1a25, 0x49ae3f26, 0x6107eb3c, 0x87b36afd,
+    0xa6f1a4f4, 0xda110d11, 0xbafb029b, 0x37da0e41, 0x132ca9ec, 0xe3327da7, 0xea30b851, 0x7f340acc,
+    0x1c4a0697, 0xfd8d4438, 0x617327d4, 0x2a99d5e0, 0x20fbca70, 0xa0227ee0, 0x52d4ce26, 0xa72de3f5,
+    0xb75792e1, 0x6d3fdeca, 0xe3e81975, 0xe51c05b7, 0x10a3d034, 0x3f517faa, 0x0dbb3178, 0x5341a1bc,
+    0x1d9177c8, 0xb5579bc0, 0xfd157438, 0xd8978cad, 0x86d36574, 0x058e6e7e, 0xb61b80e6, 0xfa2ab7ca,
+    0x9b9845ad, 0x8c519e41, 0x87c95e28, 0x22c8e7d7, 0x6e5b8cda, 0xa00fcd56, 0x6cb6aa4d, 0x3d374c82,
+    0xae228a0b, 0x299e7531, 0x1ae3cc41, 0xb2cc0f21, 0x18f8f278, 0xc6667e26, 0xee39006f, 0xd44d0fa4,
+    0x43d2d5ca, 0x6a2dfade, 0x0214379b, 0xa4521a43, 0x2b8aa52d, 0x14b80b72, 0xa2d792a9, 0x6e543d1f,
+    0xe23f91ce, 0x796441df, 0x4272606c, 0xa12bbc1b, 0x2eb99b17, 0x2be29d45, 0x11ed103c, 0xa2967bec,
+    0x3655f15f, 0x02e443a1, 0xb669aed6, 0x551bef7f, 0xebc9a5f4, 0x918b511e, 0x0fef7921, 0x2756d1b9,
+    0xdb615645, 0x2ca192cb, 0x6c228608, 0x1d229d79, 0xa848e5b0, 0xfcf8e489, 0xbaee5ee2, 0x6472d10c,
+    0x27364269, 0xd57b33f6, 0x8a1ca4d1, 0x6b660393, 0x298b5dfe, 0x1d777146, 0x62e3b8f8, 0xf173d2a2,
+    0x5894f7fa, 0x4e25b919, 0xf6c046e8, 0x7038ee8a, 0x71d3bc9e, 0x80697429, 0x4536ba7c, 0x3e030d19,
+    0xd928cc06, 0xd826d023, 0xa111f27e, 0x2889c04f, 0xd785f75c, 0x38630193, 0xe1da3053, 0x05c6d100,
+    0x4ea09bc0, 0x85f1e776, 0xd492fcc6, 0x11f5d850, 0x6f0c89ee, 0xa66d916f, 0x790c5221, 0x20eb827b,
+    0x12ce79ca, 0xa8603cf0, 0x62286d00, 0x0f0641a1, 0xff7a46fa, 0x472e3fc7, 0x9ff8202b, 0xdd53e606,
+    0x1aabb2d0, 0x4640a6a6, 0xc3a81e10, 0xe2665dba, 0x5482801c, 0xed3b35c4, 0x68ab2faa, 0x3b0ad259,
+    0xedaf7b58, 0xd590203b, 0xcde1006d, 0x903e8093, 0x5d4825c8, 0xc6a60a48, 0xf0d7bbb3, 0x2f8ddbda,
+    0x9adbce62, 0xf7cb99e1, 0xddc05fd1, 0x69a87058, 0x172ce3d8, 0x0dd2a8d7, 0x92d0c232, 0x2cf62f05,
+    0xc163973a, 0xd5f5c075, 0x88b23e5b, 0x80c4ea6d, 0xc7197231, 0x76fafce7, 0x647bbb84, 0x3945b423,
+    0x33b65e2e, 0x417eba78, 0x6d998f29, 0x32f75af8, 0x8eb75f15, 0xe7b39498, 0xccc7eaac, 0x00dfebbf,
+    0x76aef422, 0xec3b0868, 0x183f343a, 0xe0cfe9cb, 0xec4af87f, 0x739823b1, 0xa1a75701, 0x1a18da8f,
+    0x640ab5c9, 0x29cfdb04, 0xa3b840ab, 0x57a9243b, 0x37720ef9, 0x9b7cf44a, 0xcf44cb75, 0x51a4c741,
+    0x5c84b117, 0x8ed76a60, 0x962115ec, 0xea4f1618, 0x927e9874, 0x5e6bea84, 0x1280664f, 0x1fadc07d,
+    0xbb03bd54, 0x9d9afd26, 0x5324f947, 0x767de7a3, 0xe3396d1e, 0x0ddc4b29, 0xbfd23f91, 0x51d2fa80,
+    0x5f69de8d, 0x4db54848, 0x5ae2947a, 0xb6d61aac, 0x3ec7d83a, 0xe4bf8ff2, 0xc96b91a2, 0xbd22b6c2,
+    0x0dee0d71, 0x5dc7af85, 0xd2328744, 0xb30cfe46, 0x636c3af0, 0xbd75b49d, 0xf2af60f2, 0x1a4ff45b,
+    0xcd3280b2, 0xec2ffb61, 0x0113ce23, 0xf221b577, 0x71d080b0, 0x885aba0c, 0x62caa831, 0x39ced540,
+    0xaf75f018, 0x85679a57, 0x0029a36a, 0xf68b9b48, 0xd4c2ef15, 0x1e9299c0, 0x4510f391, 0x1f6dffdb,
+    0x276ab2de, 0xe90eea01, 0x100b2760, 0x9b57f6be, 0xb36ac33d, 0xcffe8df6, 0xeb8c26f6, 0x36a50a20,
+    0x5dd913ac, 0xc6482af3, 0xcd05a9de, 0xef4d87cf, 0x9520955d, 0x4498af1d, 0xa1eba51f, 0x798d61d5,
+    0xb7baba26, 0x0e78a54c, 0xf7be2840, 0x809162b3, 0x6ff81504, 0x10a0f32e, 0x44fa15b0, 0x27f2b645,
+    0xe5375233, 0xf950d837, 0x6e45787e, 0x0b592e53, 0xb0c9fac9, 0x40b6e734, 0x802fc624, 0x60e58bc3,
+    0xb16e993c, 0x0694be3e, 0xb54a7ca4, 0xbfecd224, 0xaa457b1b, 0xa4636b36, 0xbd817dcd, 0x332bf67e,
+    0x71c45641, 0x5577ed2b, 0xabf946a9, 0x964d94cd, 0x0e4dc283, 0x8eac0381, 0x67230f61, 0xaab9c323,
+    0x2c8604c1, 0xc6fadcc6, 0x0399c111, 0x072fc68c, 0x6f5363e5, 0x5b403370, 0x36155a05, 0xcef00ffd,
+    0x37b74390, 0x4ecd4a7b, 0xe9fa9c9d, 0x0c9f5455, 0xbe83ac15, 0x3d53cc98, 0x296db33e, 0x64a4899d,
+    0x8a225968, 0x23d6e713, 0x8bdccc08, 0x417ced42, 0x443f2c08, 0x4cafbb94, 0x33f1d625, 0xaa8594fd,
+    0x390fee99, 0xed91eb1e, 0x1e97363a, 0x4051f821, 0x84283fc5, 0x9cac153d, 0x967e9a9b, 0x91f771c7,
+    0x7d7fa325, 0x1f08ff1f, 0xebdb6c46, 0x63bc5044, 0x15ef2a5e, 0x351e8832, 0xe1a7d6e5, 0x5d956261,
+    0xd86407e7, 0x5857027c, 0xac0b2513, 0xb2996e74, 0x3352b637, 0xf5507dd6, 0x32313e6a, 0xc3799a89,
+    0xb10307d2, 0xd8156cc0, 0x13cb3939, 0x25bcaaa6, 0xbfa08b37, 0x9ead966f, 0x3fdba1b5, 0xb82a70ad,
+    0x93dd4ebd, 0x926c89b1, 0xc7fae927, 0x4d207880, 0xfa631a5d, 0xb22c7f50, 0xf23a9881, 0xc7b3f008,
+    0xa959dd16, 0x19d07182, 0xd95a93a8, 0xfd5f47b1, 0x9b164045, 0x2d1826cd, 0x79548d6f, 0x0e3a1236,
+    0x7a22fa10, 0xd615a42c, 0xee7493c0, 0x522cfce5, 0x9ee4be4c, 0x2c7ceffd, 0x85f38720, 0xbaa9b059,
+    0x67556a75, 0x57c9ed9a, 0x5b5234a6, 0x1e81c737, 0xd8735ae4, 0x647aa866, 0x065661d2, 0x52511f8a,
+    0xd26806e1, 0x3f629c5b, 0xbe20968a, 0x644a4e42, 0xbb930a53, 0xbaa07841, 0x6fc0ab83, 0xab65af3d,
+    0x6632f87f, 0x65b2fcbe, 0x049e4312, 0x4c5aa07d, 0x15bb8c88, 0xc0406732, 0xd0dcf77b, 0x5fc363f5,
+    0x45946b94, 0xbba5f89d, 0x68f0e203, 0x162579c7, 0xee2b42cd, 0x67e2dea3, 0x03e4dfa6, 0xc4d92d41,
+    0xa5e39012, 0xf342ba0f, 0xbea69227, 0x1cea6691, 0x2f6b20b2, 0xad68c193, 0xcf219f38, 0x4d9a1f7a,
+    0xc3c85044, 0xc0de9352, 0xde50bd30, 0x1ab0e2c9, 0xfd7b265f, 0x412afa09, 0xaa64c109, 0xf44e0369,
+    0x253a257c, 0xcbaaff2b, 0xfa6bf613, 0xe429f74d, 0x91f0e743, 0x38f18b3c, 0x99d9427b, 0x05093dc9,
+    0x073c7468, 0xd92a2482, 0x161db282, 0x379490b2, 0x3b7db7c4, 0xb73f39a1, 0xe3fefc79, 0x2cbf3bab,
+    0xc4fc4e62, 0x61edb868, 0x1cd48285, 0xa5d171e8, 0x32bb04a3, 0xcf5e0e31, 0x63c7d27e, 0x4e1000fe,
+    0x123e1378, 0x68a60ebe, 0x5f790e40, 0x7ee598eb, 0x82d3c327, 0x05e83e56, 0x0a46f296, 0x2b9c26be,
+    0x37eff468, 0x0e2fbdfa, 0x9d525f36, 0xb82cf426, 0x5419fc99, 0x5789640b, 0xf8af54f2, 0x6838d668,
+    0x79472b03, 0xf54d7257, 0x466f0d6f, 0xf06d4ffa, 0x19a3d759, 0xa26e859a, 0x38918f15, 0x4e2c2039,
+    0xf43a1d79, 0x098609cd, 0x6bc32590, 0xce00bdd2, 0xa8e9c727, 0xd8b68ed7, 0x30427efc, 0x657ce59e,
+    0x0e82f2f9, 0xcbb3a15a, 0xa80a4827, 0xf342b18d, 0x0f8af04f, 0x2a691f28, 0xa224b22f, 0x85431c79,
+    0xa1b5c774, 0x80a3a209, 0x1cddc7de, 0x5f793874, 0xd4f60e53, 0x06d44dd1, 0x67a95e01, 0x4f73d257,
+    0x478405ee, 0x7a37b831, 0x2dd4a8e7, 0xe331f459, 0x9f885548, 0x220fd63f, 0xe740d290, 0xd0855212,
+    0x761edf97, 0x3ea0f3bd, 0xbd26ce23, 0x093f1ba7, 0x811c31ba, 0x3668a4bc, 0x976753a8, 0x0436695a,
+    0x7e8a282a, 0xf107afc4, 0x9e929893, 0xac45b64b, 0xd83df340, 0xf5fdfd00, 0xc0c64ba7, 0x98c82fe0,
+    0xb95c8968, 0x6fb6707a, 0xd1094ef8, 0x30b7c46a, 0xdc9a99b1, 0x28ca2a98, 0xffccd9a5, 0x23f2a405,
+    0x506ff423, 0x2efd3b13, 0xc0afde14, 0x47f9a4f8, 0x5b458848, 0xbf7e07c6, 0xb923b00d, 0x8a90e67c,
+    0x28c54d40, 0x3b5dd13c, 0xd8103ff8, 0x809aaa7e, 0x07944999, 0x9bb83a51, 0x6137e100, 0x93ba6f79,
+    0xba47ae97, 0x444ee41d, 0xdcfa402c, 0x1d6ffcc5, 0x9236d865, 0xf767a664, 0xe83ca6d5, 0xe0f25b7a,
+    0xf91b20a3, 0xf28f9a9c, 0x7377d764, 0x9c5d0d5f, 0xc83c1139, 0xfa6bb844, 0xec4187d5, 0x60ba19bc,
+    0xd7c06106, 0xcbd7822e, 0x5b97be21, 0x9a500e50, 0x4ee700eb, 0x11388443, 0x4894a6cf, 0x7eaea3c2,
+    0x704acac4, 0x4ed82426, 0x2df94519, 0xd9c7a417, 0x901b92bf, 0x6bc9b0d7, 0xa3fec17a, 0xeef6bdff,
+    0xa46325b6, 0xf20be652, 0x49772074, 0x38c33d0b, 0x5b10b832, 0x5fd081d4, 0xb8d2dddb, 0x3fe48752,
+    0x3efa7dfb, 0x1c40ff91, 0xd0400d01, 0xb643388e, 0xdbae49f1, 0x1a5ef3d4, 0x5b1cc09f, 0x9268a83e,
+    0xf6809a9e, 0xb753b629, 0xa1c35c33, 0x0708c97d, 0xa3dd5097, 0x015d867d, 0xcf02d2d1, 0xf4bddc41,
+    0x717a0eb2, 0x9a97b12c, 0xea0df811, 0x3c0b6ebe, 0x7896fa3f, 0xaffc415b, 0xbe87d666, 0xa879cf9c,
+    0xe328894d, 0xe065c11c, 0xca829fc1, 0xb742a738, 0xf39bcde3, 0x2cbab4b3, 0x4ceef68c, 0x1b5eaf7f,
+    0x1f366b8e, 0xf6d1b3c3, 0x671da56e, 0xbfef8c7c, 0x87045591, 0xfe5d328f, 0x784ae011, 0x88fc5835,
+    0xd41f364c, 0xab942673, 0xe6826033, 0xddfeb633, 0xe72839ea, 0x7fb6a052, 0xabec131c, 0xa3c0ac26,
+    0x78bb01f0, 0x4503f26a, 0xbea6e626, 0x449dd21d, 0x0a58e20b, 0xc532e075, 0x1d57f112, 0x4f075616,
+    0x68f0d8dc, 0x622f7806, 0x841c983b, 0xff8cd1ba, 0x5335b89a, 0x2fc52025, 0xadb6d3f7, 0xb6faffd2,
+    0xf88afde8, 0x3d3aea92, 0xcd58fdb7, 0xb3799fc7, 0xa7c37079, 0xc653a194, 0x1382e5f0, 0xdb5e66f1,
+    0x2704d367, 0x3827bfcf, 0x48485cd1, 0x0ee045cf, 0xab783273, 0x63b5c549, 0x8892eac1, 0xc42204f1,
+    0xb991c711, 0x8d9391a1, 0x29ba4d65, 0x99d7700a, 0xdf37e175, 0x8fe5645b, 0xa82be6b4, 0x5f83ebe9,
+    0x10f75cb8, 0xd29f2563, 0x7e981bf6, 0x6bcaf834, 0x543439d2, 0xb4086b6d, 0x086013cc, 0x6f1b3e5e,
+    0x956a6442, 0x7afc89bd, 0x29fa4ac2, 0xffea4d00, 0x7e1d75c2, 0x249fbf94, 0x88b115fb, 0xcec4529e,
+    0xcd393bfd, 0xd73808d7, 0xd47e3af8, 0xf4772f71, 0xb72f4052, 0x7db3760c, 0xda170906, 0xd6c607a3,
+    0x772ae2bd, 0xe2e6b58c, 0x71c6eb9f, 0x893d1846, 0xd0642f57, 0xe4ca269c, 0x389f915c, 0x7e0b5722,
+    0x6a2c2e60, 0x05a6372b, 0x622dd297, 0x7a0f894f, 0x944a82e4, 0x59d7c020, 0x4f7e3349, 0xca0fe019,
+    0x55847edd, 0x70096173, 0x9898795f, 0xb935b479, 0xa451c7ea, 0xdf4bae49, 0xaef3587b, 0x5a8e9928,
+    0x9799d502, 0x1398e825, 0x6e5fd736, 0x934f777e, 0xb58ff30f, 0xe04f2e44, 0x905e8102, 0x5fb7f7f5,
+    0xd4900b7e, 0xfc1d4e40, 0x20342aa0, 0x2dc6595b, 0x5bbd9562, 0xaea6b912, 0xa4ffe8ef, 0x1601e69f,
+    0x0d6aba6c, 0x1f809606, 0xe91770e5, 0xfcdc3f58, 0x5df07294, 0x393ee2fd, 0xbafa2b04, 0x80c1ed51,
+    0xd29c1aee, 0xf35261bb, 0xac46db0d, 0xba3a4861, 0xa93125f6, 0x72e80d6c, 0xd8545882, 0x081b750f,
+    0xacf6d6b9, 0x70d847de, 0x05914a0a, 0xb6e16c8b, 0xe69be5df, 0x3dd9451d, 0x0588b016, 0x0b111991,
+    0x8a1d40a4, 0xdaa7d2bf, 0xd6a4b4c0, 0x063d50d6, 0xe2f63f50, 0x82803522, 0x1ef4afe8, 0x744b7a1d,
+    0xfe9109bd, 0x4edf6400, 0x128fa90d, 0xdc1c0680, 0x1ca46a2b, 0x45c236a0, 0xfacd1a44, 0x0302c38b,
+    0x6c6edc1b, 0x17080306, 0xfc13c8cf, 0x59c2141e, 0xc1e7eb38, 0x533ad1ac, 0xa373d43c, 0x81f635fb,
+    0x97c8ddb5, 0xa0e2a128, 0xd5165048, 0x47a18dd6, 0xcb583f19, 0x0bf643bf, 0x886346cf, 0x875b366b,
+    0x4f2a0140, 0x1a0541a9, 0x40b4ed3b, 0x2b22b5b9, 0xf997353f, 0xdf41d52c, 0xdc4a6591, 0x0c606350,
+    0x31998da5, 0x044f53de, 0xf2407cd3, 0x4c8304f4, 0x31adf7a4, 0x7028b6a2, 0x3526f327, 0x53d53df3,
+    0xe3f3fcfd, 0x12e1162a, 0xe3053bd5, 0xf408771b, 0x109fc013, 0x2bde665e, 0x1a4ff162, 0x1933ce71,
+    0xf8dd375a, 0xe4921123, 0x7dbd4e63, 0xfceed825, 0x62fde80c, 0x837fe6de, 0x227923ba, 0x25013f84,
+    0x2380bb87, 0xba1761ac, 0x08db78e0, 0x03c397e6, 0xc6cac785, 0xecc39db6, 0xb6a1778b, 0xfd51a7c9,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000091739944639602860464432835812\
+                         08347763186259956673124494950355357547691504353939232280074212440502746218496 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe,
+    0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5901, 0x05cf0b3a, 0x0cca1fbd, 0x3baa3e74, 0x7c497d55,
+    0x00000000,
+    0xdb98fc10, 0xc7755387, 0xbcdcfe0e, 0x35d34b5b, 0x937cf97c, 0x82d4ed94, 0x2f1cabb5, 0xbfee94d4,
+    0xb1339a5b, 0x98beba12, 0x4f1044fb, 0xbe5efd40, 0x058e1b82, 0xdfd06c47, 0x6fd8c7ec, 0xbddeddd5,
+    0x2106b83b, 0xb67f8fd0, 0x87369105, 0x38e1750f, 0x1f5cf461, 0xf09d1ad5, 0x2a79a6ad, 0x11d0d37f,
+    0x95c9d82f, 0xc43ae1fe, 0x15b90fbe, 0xd37ca44d, 0x84181605, 0x72c74087, 0x6332cd61, 0xe783428b,
+    0x69b4773f, 0xccb1b035, 0x65ce3754, 0xff6ad97e, 0x4020d534, 0x01c61c7e, 0x38c3b59e, 0x73b40133,
+    0xc79e3e6b, 0x326ff00b, 0x7dd257fe, 0x24157cbe, 0x5a5619fa, 0x18ab0e22, 0xfcfbbc91, 0x9a55ef88,
+    0xf8fcb527, 0x9088be25, 0x613203e0, 0xcb0179ed, 0xccee3545, 0xfd6352ca, 0x47d62055, 0xfd7a95cb,
+    0x148e305a, 0x4fd8261f, 0xeea57d82, 0xff727f55, 0xeb5cd3b0, 0xc0c36fd0, 0x08763280, 0x7350c340,
+    0x73ded5e4, 0x34dbbcf8, 0x17298438, 0x83ed4f26, 0x1ffefa0b, 0xfa969bb5, 0x1fef17e9, 0xdae169f6,
+    0x90bda8d1, 0x33ef4d1d, 0x9fb47c1d, 0x6e7dac8c, 0x2e41403a, 0x7c5dcbb5, 0x4ad373ea, 0x40d9a1ef,
+    0x2e0c314c, 0x10d6d809, 0x8b93fdb9, 0x7623b3ac, 0xff99719e, 0xab3563ba, 0xcb41b0db, 0x28adf7e7,
+    0xfedcecde, 0xd43426d2, 0xcbb6f10c, 0x41c5e8cc, 0x4a4bb897, 0xef7b3bb0, 0x31d3be5d, 0x18f981d7,
+    0x565a2c4f, 0x70f0e7e8, 0x322363fe, 0x4e3b37da, 0xfd040cc0, 0x30d8769f, 0x470b6a4e, 0xb8428658,
+    0xf466f0b4, 0xb1e1f5fc, 0xd62b8e9f, 0x48b08c0e, 0x44c5e4f0, 0x9fe4f7fa, 0x846e47ee, 0xf8852348,
+    0x9dc72c71, 0xf07b8d1d, 0x5be9a5ae, 0x265f0ead, 0xa90115aa, 0xda91f369, 0x57dce47c, 0x1e05086a,
+    0x0adb6c3e, 0xb28d992b, 0x0a809898, 0x4297d43a, 0xd227f60b, 0x78e0e999, 0xa107c266, 0xe9d9fcec,
+    0x1a210228, 0x3aa3be32, 0xebd10c0d, 0x3bb8a8e9, 0xb1a49509, 0xebcd9bdc, 0xd32f5860, 0xbf291661,
+    0x3a1a5518, 0x8ea83fb2, 0x26ffb425, 0x8be0de8a, 0xc03ea009, 0xfb6d80e3, 0x34184dce, 0x332b2ddd,
+    0xcd4ce912, 0xce9b31f4, 0x7eeb3693, 0x1429ff90, 0x33f890d0, 0xd30dee99, 0xc7827140, 0x230642b9,
+    0xc5d5505a, 0xe9c070d7, 0xda35db20, 0xe91f7aba, 0xbe654f4a, 0x6a780980, 0xeefd1998, 0xe9499084,
+    0xac7d784a, 0x00dac72b, 0x0b8b8c2a, 0x20ab7416, 0xfe7f7747, 0x5d1c533a, 0xcaea0555, 0x38ed580f,
+    0x7fc4157d, 0x5ff51011, 0xb285b631, 0x2226fdbc, 0x08fbe5f7, 0x06431f64, 0x295caca2, 0x84de945e,
+    0xf4b40de6, 0x3ee2d671, 0xfc0f5a1c, 0xb792bd7e, 0xe8e88be3, 0xbeeb8aea, 0x19633260, 0xc8013da5,
+    0x8ed1f129, 0x11522bd9, 0x3dc7ef22, 0x1738e48e, 0x7e0ac41e, 0xa2df82dc, 0x628b6c9b, 0xa55556e6,
+    0x77e15121, 0x4f3b525a, 0x384e2945, 0x0bc1edeb, 0x472f1b7e, 0xfde2aace, 0x62074c02, 0xce560d6a,
+    0x1a169115, 0x38fa41c2, 0xd220a1d2, 0x5eee50a6, 0x992bb6d3, 0x671d8997, 0xc7f54b6c, 0x9c4b089d,
+    0x3d02d6e2, 0xdd769f4c, 0x21621ca7, 0xc0f5b8f2, 0x2948e1d3, 0x628356e6, 0x02c9fcbc, 0xf0c8f124,
+    0xa11993fa, 0xa0d029d6, 0x241dcc93, 0xd0b03fb7, 0xa3da29d9, 0x10e7b1d3, 0x9a180ab0, 0xc7b51998,
+    0xc88b038e, 0xb7ea235e, 0x8e4b9169, 0xdcc48f12, 0xb6021076, 0xd747810b, 0x47aad5de, 0x33382c83,
+    0xb85c7070, 0x56bdf633, 0xab878eff, 0xea0cf2c9, 0x8ce14aa4, 0xce86aee4, 0x7cb06a8a, 0x688ba3b5,
+    0x542d64d8, 0x9de97adb, 0x960e5fca, 0xaeb2c3bb, 0x1d313f4c, 0x39c31413, 0xff3cb085, 0xc7c3e3fa,
+    0xb93542bf, 0xabf453b6, 0x86fbe8d1, 0x14f9b631, 0x8b89a35e, 0xd1ee2a7b, 0x2096ef50, 0xca83ae46,
+    0xb731ecd2, 0x59e89826, 0x34a7b2c7, 0x4ec41761, 0x272b1399, 0x2c33fc4e, 0x652ad722, 0x9c8870d0,
+    0x32fb2176, 0xf710307c, 0xfdda1019, 0x63f43a7b, 0x9b759aaa, 0x2f2518a8, 0xb67fdf00, 0xd9523a89,
+    0x23c9534e, 0x4dc96968, 0x91dfff28, 0x2d2cf4df, 0xe742f524, 0xb04b727c, 0x74d5feb8, 0x96fcc715,
+    0x78c799a9, 0x7a807393, 0xa27cf6d2, 0xdc9270e7, 0x8182cd6b, 0x07004364, 0x04b7caf6, 0xeb07f94a,
+    0xa92cafa2, 0x5c2c1f9d, 0xd5288762, 0x35509609, 0xfeb46901, 0x3c2c6bd1, 0x98928222, 0x07c144d4,
+    0xf2b1748d, 0x3a9cf234, 0xb37f9083, 0x2c4af12c, 0xaec1ccda, 0x71368706, 0x6e584069, 0xf82b92ed,
+    0x4f31ab92, 0xf30564cf, 0xb2a89f31, 0xb0d74e1c, 0xa95bf997, 0x6a8b015e, 0xb788fefb, 0x257f3e37,
+    0xdb1340a5, 0x8c6684dc, 0xa6feff36, 0xae558948, 0x34ff826e, 0x8bacd504, 0x18e8d255, 0xe607b7d4,
+    0xd1ba573d, 0x4b903f34, 0xa93c47df, 0xb84cc1a3, 0x6250ac60, 0xbee19b40, 0x9fca6b26, 0xfda76578,
+    0x077c6f3a, 0x208076b5, 0x845974c4, 0x3b030d91, 0xae5936cf, 0xad15b912, 0xcbb15656, 0x87907d63,
+    0xd29fd7b1, 0x1fc15abb, 0xbb537f16, 0x52efa8d8, 0x2fe85d57, 0x59c37309, 0xaf617cb8, 0x00d1cd6a,
+    0x332a47d5, 0x7eee22b6, 0x54442187, 0x5e313446, 0x22b93653, 0x1567a816, 0xc94f9937, 0xbafd869f,
+    0xc9231a41, 0x0a4737e0, 0xf6529b3a, 0x6dfb1ab4, 0x5b8b46d6, 0x05a31f99, 0x4773a5af, 0xf530b4dd,
+    0xaf09b0c7, 0x830c4e46, 0x1517d1a0, 0xe2726eae, 0xf8753a78, 0xcd8e3509, 0x2d1409d1, 0xfe7ffab6,
+    0xf37dddd8, 0xb606f1d6, 0x18979a1f, 0x717bd328, 0x4c38e349, 0x6e1a83db, 0x988ae443, 0x69f2806f,
+    0xac0a6250, 0xab2aaa6a, 0x43cd3c98, 0x30cd47fc, 0x5f19a314, 0x9cca0e3b, 0x7ebbbd4e, 0xc75b01e3,
+    0x365cb496, 0xb6575737, 0x25e813dc, 0x96e546af, 0x9593f03f, 0x6d4654d0, 0x208465d8, 0x4f056145,
+    0x3aae567d, 0xd213ef0e, 0xaa708145, 0x90c853ab, 0xe701eabd, 0xd7aab6a7, 0x399bd785, 0x40d0e30e,
+    0xfa1f5c38, 0xe5493a0c, 0x2df3bef4, 0xfb43fd7a, 0x9dde8a32, 0x6663433c, 0x9ffbc4d7, 0x6098b052,
+    0x7e5df15e, 0xa2feb0d7, 0xd6550999, 0xdc42f80b, 0x66dd93f1, 0xa1865139, 0x350ad9f5, 0x8eb41be0,
+    0x5c1fe06e, 0xdf9ce956, 0xc3c64d9b, 0x1dea11fe, 0xa28302ba, 0x7f17a79a, 0x5a895dba, 0x26972238,
+    0x01ebd46b, 0x09f836e5, 0xd09d66c7, 0x53febe07, 0x83e5f6ee, 0x765528b1, 0x7dd765ec, 0x5e703028,
+    0x43909c73, 0x0c13a6f8, 0x71789f4b, 0x56add973, 0xccbc5b1a, 0x34e52dd0, 0xada04c74, 0x33958d70,
+    0x3c6575e6, 0xd8be1d56, 0x1c64d3d8, 0x88d7c73d, 0x23e78763, 0x01756f51, 0x3bcf0ef4, 0xad318022,
+    0x062fb7f6, 0x58c898dd, 0x18625d73, 0xb6dfb378, 0x4feb0384, 0x293d3542, 0xb3d8ca0b, 0x1a1b8469,
+    0x4de3b930, 0xcd595d86, 0x382a9f70, 0xfbc63499, 0xd417c439, 0x66d76006, 0x72d970ca, 0xd991cb79,
+    0x3036e66f, 0x84c8ec86, 0xc65fb238, 0x145823ba, 0x2f8a165c, 0x961348fc, 0x1e6396d5, 0xade0cf17,
+    0x6247fe4f, 0x915e746e, 0xa9f26bb2, 0xb6e82ceb, 0x6fd7b81e, 0xc6ab64cf, 0x1b0c49e3, 0xee6f5758,
+    0xc25626b6, 0x888381a5, 0x44ccb7a7, 0xd104f936, 0x0f1c4942, 0xe4ff7be5, 0x898aeb17, 0xb532bd9e,
+    0x080031e9, 0x45adcaab, 0x148036c1, 0xc9cefc65, 0xe5ccc7cb, 0x0b3c3bcc, 0x0e001897, 0x5037b963,
+    0x89a15aa8, 0x914c7a54, 0x8b19ed24, 0xbd96e10c, 0xb2fddc97, 0x54848e11, 0x8388b721, 0xf116ffbe,
+    0xc463cc82, 0x50fe48ef, 0x877a7e7b, 0x14ce5f97, 0xed43a4d5, 0xdd79be85, 0x77437ecf, 0xdc4bd3e5,
+    0x5e099814, 0x640ee115, 0xa14a251e, 0xadd081be, 0x8f245c38, 0xae1038ac, 0x7fe04bd0, 0x4495df08,
+    0x5580beef, 0x17989094, 0xf88efd0a, 0x9249bc71, 0x3c7d19fe, 0x8cd03c79, 0x36ed5185, 0xee50dbf5,
+    0xabcec93b, 0xb22e475a, 0x06224c3c, 0x5d317976, 0xee4071dc, 0xf205fa19, 0xf20e88aa, 0x81d36513,
+    0x7e31e41e, 0xc75e561e, 0xb41c0ca2, 0xc58f02ff, 0x32891fe3, 0x23132824, 0x6e9408e2, 0x62d13a95,
+    0x63686f91, 0xb82a3d22, 0xf82d5ff0, 0x11e710dd, 0x0b75a4ab, 0xb22e9be6, 0xea8bc9b7, 0xa6f2306b,
+    0x5d646db7, 0x98197995, 0xda86dd7d, 0x679d180e, 0x9c6f94a0, 0xba49cd41, 0x35913314, 0x7c2df887,
+    0x69acec3e, 0xd333713e, 0x67bdadfa, 0x2e69470a, 0x6a80bbd2, 0x333ed535, 0x795d2c1e, 0x61bedf00,
+    0x401b3d8f, 0xdcf0363f, 0xe0299cf5, 0x4564c99f, 0xa7f54472, 0xb6aa57a5, 0x4ef14cbd, 0xa954551b,
+    0xafa2cbb0, 0x19e33464, 0x0ce1fcf3, 0x82271769, 0x76187373, 0x2108f979, 0x2bbf4513, 0x9c7d981a,
+    0xc46ccccd, 0x7b27f4cc, 0x4d981483, 0xb6a0bcee, 0x973169aa, 0x424f6c55, 0xfd681748, 0xcc772b9f,
+    0x77a263f5, 0x1f740041, 0xf931cfc9, 0x7297b167, 0x85963b53, 0x71a70d64, 0x2494b487, 0x158c667f,
+    0x48113af6, 0xc32dec0c, 0x8890542c, 0x8edf61e9, 0xb70b35c9, 0x8ffe894f, 0x742eaece, 0xa0d5a35f,
+    0x1ba53914, 0xe4b5dd17, 0x10fcae08, 0xe0168494, 0x35531bad, 0x383df308, 0xdcfdaa81, 0xf4dc22b2,
+    0xa31be48a, 0xbada5110, 0x4c421a06, 0x681cae60, 0xc351e190, 0xc3cd14f8, 0xd6077e58, 0x5f2a9381,
+    0x47dc4913, 0xc53d33cc, 0x7996c2a4, 0x962a4af6, 0xba7b773c, 0xe45e67d9, 0xdc37398b, 0x85868cdb,
+    0x67628874, 0x2db7b0f7, 0xa22704ac, 0x1a02916f, 0x3438cea1, 0x563e2763, 0xb7b97a34, 0xcd1c5a64,
+    0x9c187f94, 0x020c5f26, 0x7af04488, 0x80825979, 0x51440f6c, 0x497e0310, 0x3a5af23c, 0x6e8271b0,
+    0x18fdb495, 0xc6a98091, 0x937b100e, 0xf15afdf2, 0x4fcf77aa, 0x708157f8, 0x306ef565, 0xed84db84,
+    0x8b391b97, 0x30b2fa26, 0xa3ff8722, 0x17ac553d, 0x690900bc, 0x58a5468d, 0xe7d363b4, 0x7b239dd8,
+    0x093f32e9, 0x0b45e984, 0x3298690d, 0x0829ffaa, 0xaea9f97d, 0xca520306, 0x7ffd181d, 0xd7036afe,
+    0x734714d2, 0x79d1593c, 0xb12675f1, 0xc594a8f0, 0xda82d839, 0x9b87d934, 0xba5b1590, 0x8a6bbb98,
+    0xfa884fd1, 0x6609a38a, 0x884045a5, 0x311d839e, 0x7d751012, 0xa4082d4b, 0x2beb29c8, 0x869eb3d6,
+    0x6589ff34, 0x3f17c427, 0x93b32332, 0xc214a459, 0x4ac29ce4, 0xf6382810, 0x169201b7, 0x10e27753,
+    0xfb19a938, 0x3a83c262, 0x75e746d2, 0xac2ef707, 0x2d994b7e, 0x1628f247, 0x858318f3, 0x11c968b7,
+    0x41e087dd, 0xbf6051e4, 0x3bded45a, 0xb10aa7b4, 0x52afee35, 0x7d1dc6e2, 0x2cf5c2c9, 0x1efb21f0,
+    0x4156a2ad, 0x917b84c2, 0xf40e500b, 0xed386fba, 0x43d8c09c, 0xa5b1ba44, 0x63ad51bb, 0x13167122,
+    0x05cd13d0, 0x5f403738, 0x3ea906ea, 0xff47b9e8, 0x09245151, 0x7a0b8f0f, 0xbf97d505, 0x65942b29,
+    0x117ead05, 0x99fe460b, 0x90980d5b, 0x822ae777, 0x2fd493ca, 0x85dcd6c6, 0x3e70b114, 0xbe0768bf,
+    0x4cac469e, 0xe7a64e77, 0xcc38dd4b, 0x7166d465, 0x1bb168c1, 0x08b65878, 0xa3e8d3ec, 0xdcc6ea50,
+    0x988638e4, 0xb1c6850c, 0xab436f7c, 0x78319254, 0xd5cbad22, 0x855758ce, 0x49b0665c, 0xdb79d420,
+    0x07c2824e, 0xedddfe9e, 0x3d495a0b, 0x376959e5, 0xc2778304, 0x5484044e, 0x87601668, 0x7e2c7ec7,
+    0xb3f14b34, 0x4300bc0c, 0xd647da63, 0x97323f85, 0x484ec550, 0xa3295858, 0x0789a193, 0xf50f1457,
+    0x3bc9099e, 0xc0ca64e5, 0x2b41f986, 0xd6b4c2ea, 0x943bf534, 0x5f02acd2, 0xbc9ac9dc, 0x2cdfb7f4,
+    0x50bb343e, 0x3832328d, 0x1d4cc17a, 0x108de549, 0x274457b8, 0x02248752, 0x97db87d1, 0x51d66563,
+    0x311f3843, 0x9864f595, 0xeff81a70, 0x9f66fa57, 0x2ce67910, 0xecd143e2, 0xcf1cf2c2, 0xc61109a7,
+    0x00e726d7, 0xc1a0e792, 0x3ebf403f, 0xe1908bf3, 0x2f217c03, 0x5e539c80, 0x5af5c893, 0x92d5fb9e,
+    0x944dd198, 0xc419f782, 0xce8d6116, 0x0b49523a, 0x3d90bbab, 0x3f96b66d, 0x6668440b, 0x47019d30,
+    0x6dd5f6c4, 0x028a36a1, 0x120e2744, 0x6263651b, 0xfbbb3130, 0xd96d5b00, 0xe8362c96, 0xad005489,
+    0x3bbc532c, 0x4073bd1d, 0x77f50e07, 0x0f311e1d, 0xfb2a5500, 0x1c42b486, 0x6c27256f, 0xb0677d0a,
+    0xb687862b, 0x799f3e9a, 0x6401d38a, 0xa4459760, 0x1416245f, 0xf4ee2688, 0x5b8f9265, 0xb4b5e34c,
+    0xfd6785b0, 0x8a2bd2bf, 0x74be0ea0, 0xbaf2903d, 0x7c2631e4, 0xda83fadd, 0x7699db04, 0x8292bcb5,
+    0xc1269890, 0x786a244c, 0xc8e05610, 0x19985d76, 0x720296cf, 0xfaded7dd, 0x64f701bb, 0xfab333cc,
+    0xed6e2ab7, 0x41f6fd82, 0x5f60540a, 0x5d8d9440, 0x1e7dd50a, 0x55b439b4, 0x6bd599a9, 0xaba2e470,
+    0x7ad56fee, 0x884d5ade, 0x28620931, 0xfe878e76, 0x1e33fa74, 0x78f7ee08, 0xe0bd6091, 0xbdf3d4e7,
+    0xa6f61c5d, 0x6a6c6d89, 0x76ccca6a, 0x4d94fca6, 0xf75d5b41, 0xb79ed06b, 0x4a2455ac, 0x47c43f77,
+    0x7d64af7d, 0x3ee6e2ad, 0x15dc205f, 0x7fb57cfb, 0xd13376da, 0x5c1c2d00, 0xf97c7c22, 0x617c400f,
+    0x8517f132, 0xfd646c59, 0x8c034037, 0x97c3a896, 0xa08a0399, 0x23223c7a, 0xe98e93dd, 0x9ab071f2,
+    0x37045e6b, 0xdd5f432b, 0xf3f52c56, 0x8184bb4b, 0xb065017d, 0xedae2fcc, 0x262641f5, 0x9660ab2b,
+    0xb0dfbac4, 0x55b11461, 0x6e0569ed, 0x36331f1c, 0xb9a57401, 0xd410de03, 0xb5f4528d, 0x17e8f90e,
+    0xf2af2cae, 0x206eebf3, 0xccaad084, 0xe27c0ddb, 0x031a2903, 0x41cea116, 0x3ae7ee6d, 0x53fd35d2,
+    0xba59c6da, 0xa0d94d64, 0x32f19742, 0x8f9fc962, 0x8ae953ee, 0xe017a376, 0x48f61821, 0x06f1c578,
+    0xaefcc537, 0xd9a71072, 0xdba73e14, 0xdaedc122, 0x47d085fe, 0x2e3a0d93, 0x32e56697, 0x196ad147,
+    0x4d7f6c1d, 0xd5d38b45, 0xfaf9d3cc, 0x0c1d5b3d, 0x40e9ecfa, 0x309aa2d2, 0xf51db713, 0x892fa33c,
+    0x5c6a402a, 0xe7ab6af1, 0x6161d4e7, 0xf351c318, 0x92b03b01, 0x532a0f1b, 0xc6b11255, 0x3814d938,
+    0xe1043f74, 0x4167c125, 0x9fab72a3, 0x439f2d30, 0x9279f525, 0x333342c4, 0x93ef36e6, 0x148d8546,
+    0x0ce7afcc, 0x9c30de78, 0x039ec29c, 0xc95a9676, 0x660aa675, 0x68c52060, 0x24ea1f92, 0x3c9340ca,
+    0x724ea760, 0x428d2906, 0x69426df4, 0x52fd4d53, 0xfa325b25, 0xba608e87, 0xcf4504d6, 0xe23208b6,
+    0x0be226a2, 0x1bef3614, 0x21ce2f52, 0x00726d32, 0xe7aaad40, 0xb1869b94, 0x3bda12db, 0x200937ac,
+    0x9982b8cc, 0xa0c8c705, 0xfb13a0f0, 0x03152f3e, 0xe746862c, 0xa8219a5b, 0x7142e69f, 0x132b4675,
+    0x419d7883, 0xc5b6c965, 0xb7e59c41, 0xb10d6267, 0x41125021, 0x1464a446, 0x5f8185d0, 0xa621a85e,
+    0xd29d21e3, 0x0b8f4ecb, 0x06c9e8a5, 0x20f53eed, 0x92429caf, 0x75926c45, 0xfc628d4f, 0x6c5fab6e,
+    0x64ef437b, 0x6240c614, 0x338e3f4c, 0x6095a469, 0x683cfc15, 0xd4b5d5d4, 0x6837b518, 0x8b45354c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000045869972319801430232216417906\
+                         04173881593129978336562247475177678773845752176969616140037106220251373109248 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff,
+    0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac80, 0x82e7859d, 0x06650fde, 0x9dd51f3a, 0x3e24beaa,
+    0x00000000,
+    0xa7a7e767, 0x371b14fa, 0x0cc9992b, 0x2347696e, 0x19e5a5f9, 0x0585a252, 0xddd175af, 0x0ce44254,
+    0xa36fb2ea, 0x78b52cb1, 0xed052953, 0x65002f73, 0xe4598350, 0x31b1dfe6, 0xfbdce99a, 0xbbe693f3,
+    0x512928c0, 0x605a594f, 0x0261579e, 0x09c54db5, 0x5508032e, 0xd80a91ea, 0x9252ee3c, 0x9106b2e4,
+    0x672bba81, 0x19f03543, 0x39e06b6e, 0x8c7b65d6, 0x6f04add9, 0xf3fc3b9e, 0x1f4a534b, 0x5cf6b0a5,
+    0xdbb3530f, 0x7f6a5c74, 0xc83fdd44, 0xf9460578, 0xa99188cb, 0x04df6d7e, 0x26d22630, 0xee06c074,
+    0xffd7aa7b, 0xec20883e, 0xb55db171, 0x6fca9471, 0xed8fe92e, 0x6423cd8b, 0x664f7b6a, 0xc22b134f,
+    0x1d8d32cc, 0xd1b1e07f, 0x745ea5d8, 0x813f45af, 0x3886690f, 0xc1aee266, 0x5a68eba6, 0x28282bc8,
+    0xbcd79dc2, 0xa85229c1, 0x9dbf94aa, 0x99eff02e, 0x51bb4ab1, 0xa462c9f7, 0xe5a71303, 0x6137a504,
+    0x853c9937, 0xd03a4d32, 0x1b97c71b, 0x9b0230bb, 0x7f81c70a, 0xa31d97a3, 0x182311ee, 0xda7dfb66,
+    0x7d0c25d8, 0x6a14cdcc, 0xb86c23e9, 0x7e5dadf1, 0x4298dcae, 0x84f9a91c, 0xbad1de57, 0xd4ae1d4a,
+    0x067a8ddc, 0xe015ff61, 0xd7de44f2, 0xa31154e5, 0xee849868, 0xa61abcfc, 0x543519a4, 0x5497a3f1,
+    0xb306d95f, 0xcee49c00, 0x59fdf7fc, 0x45275be4, 0xbb3e9b60, 0xb073de64, 0x54b7ad3e, 0x5bbcddae,
+    0x2a8cd5f0, 0x6d44bd78, 0x2c7067dc, 0xe28c1e1f, 0x2fb4cd6d, 0xb536d67b, 0xe56a9e24, 0xa506a079,
+    0x9057056c, 0xfaebfd21, 0x494a99ac, 0x36d5a4d2, 0x2c3847ee, 0x9191de10, 0x9afbfc28, 0x65092c63,
+    0x0712b10a, 0x9f5bd9ab, 0x97906cfb, 0x368d8535, 0xaa5938e1, 0x3ed4fa4b, 0x0cc87daf, 0xc96aebd9,
+    0x5d16e965, 0x9e25e773, 0xf4d5bb77, 0xe05b9946, 0x8c0a0276, 0xc5549eaf, 0xf1bf6d34, 0x65b84cf7,
+    0x966ab5a6, 0x534d57b9, 0x515e0caa, 0xda510ebf, 0xb38a4533, 0xb232ef1c, 0x09907653, 0x20531040,
+    0x26f89863, 0x581fd68a, 0x5addcc28, 0xff7577cc, 0x48fef994, 0x26ab30e8, 0x78ce2fdd, 0xbf79c3a8,
+    0xf0ec5758, 0xbd37419a, 0xea02d269, 0x5d92cf39, 0x67456bf8, 0x1b4cdd8c, 0x74819011, 0x4feaf011,
+    0xd8eb6347, 0x916c9dd4, 0x0ebd112d, 0xf4d65359, 0xbe0a7fc0, 0x85805af3, 0xf6fbe025, 0x06e501d4,
+    0xae25373e, 0x7956a3b9, 0x79648dd6, 0x7fa9c303, 0xef58bcaa, 0xe6d61cc0, 0x7fe84a6d, 0x0f1d29d7,
+    0x5d40f8c6, 0xdc441b4e, 0x3d8a359b, 0x86ed0ed7, 0x60a0e5a4, 0x90c7fffa, 0x39350f0c, 0xbb892878,
+    0x1a6f9b66, 0x47773eee, 0xedc2dd5a, 0x0819a19d, 0xea0c9179, 0x290c55f9, 0xe828f033, 0x95673313,
+    0x4a5f92b0, 0x7b6183df, 0x817bedcf, 0xbd6a2d12, 0x60776836, 0xc87da288, 0x8b080ed2, 0x0254915d,
+    0xf0cbbdf1, 0x76fca8f1, 0x12da99c1, 0x46d3dbf7, 0x40f41ca6, 0x57f74f53, 0xe9753596, 0x4eae109d,
+    0xef859b36, 0x835b2bd5, 0xf9e697ec, 0xb4a67ebe, 0x1a78531c, 0xd0ecbc5b, 0xcf806b41, 0x1beab51c,
+    0x8531a003, 0x359beef4, 0xdc685f22, 0x5a1ee5bb, 0x343e1781, 0x85b7a741, 0x3fd03982, 0x3765614c,
+    0xd1bfba12, 0xc772f992, 0xfd02978d, 0xe5f42dba, 0x8d8bc5ac, 0x4497dc6b, 0x84fd4e7d, 0x7fc3b7ad,
+    0xb404df25, 0xc5aed4cd, 0x8f66ea37, 0xe638177b, 0xce54b012, 0xd30a9963, 0x7463f5bb, 0x8d2d74f6,
+    0x12951048, 0xe746e70e, 0x63bbd8b8, 0x1cbafc1d, 0x91343cc3, 0x16eff39e, 0x3891a9bb, 0x73751671,
+    0xea9413b9, 0x5a87868c, 0x02692119, 0x58ebe0ea, 0xeb41fde0, 0xb7012e77, 0x5de86057, 0xcb7fae77,
+    0x6ade0a0b, 0x1d432f48, 0xc4383cd5, 0x5973a0dc, 0x25c7dec9, 0x390496c8, 0xd501e4bf, 0x3286d998,
+    0x646c52a0, 0xf27b5d90, 0xb621a63e, 0xb090b127, 0xf5c9723a, 0xf3889d2d, 0x3e1d575c, 0xd7572035,
+    0xe3683fe5, 0x01ea8620, 0x94a15927, 0xbc3aa582, 0x31500952, 0x8c801dfc, 0xb87afd91, 0x41215184,
+    0x8c148da0, 0xd952b98e, 0xc86367ae, 0x467d74eb, 0xde2adc88, 0x9e2d9601, 0x985ba4ee, 0x4659ce96,
+    0x732b3d97, 0x01e96bed, 0x41c4d940, 0xc5b4ef83, 0x3a86c400, 0x26879378, 0xb9d900e8, 0x72565a31,
+    0x3df082e2, 0xd699906d, 0xcf300875, 0x750bcf9d, 0x4a4da917, 0xe1b361f9, 0x23d6c034, 0x2eed6ece,
+    0xd81208a8, 0xc9064171, 0xf366ae58, 0x7823117c, 0x81f3aaa6, 0x502d5f79, 0xf20f71cc, 0x1325b85d,
+    0xa127415d, 0xf4c812c5, 0xdb6cdf4f, 0xe62fd697, 0x52359ecd, 0x944bacaa, 0x11951409, 0x81f77220,
+    0xcf6e12b2, 0x38cec603, 0x6c874c92, 0xba3ec39e, 0xec4ea986, 0xa436cc91, 0x75454469, 0x8e983df1,
+    0x3a5f52dd, 0x8ee1d066, 0x9d221a5f, 0x5dcc56ac, 0xad057a27, 0x7c7ec798, 0x699c811e, 0x15d59a80,
+    0x73c5f0a2, 0x0a17e010, 0xb0a678c7, 0x4ec509d3, 0xfad154d2, 0x3e89a341, 0xf2756727, 0x9b86ed66,
+    0x21a3a943, 0x33c4fd7a, 0x534f1fc1, 0xdffff82b, 0x1e3018a3, 0xdaf80190, 0x64befb9c, 0x644c64bb,
+    0xf7721266, 0x74b29cfd, 0x4940fe04, 0x636b6aa8, 0x52839a5a, 0xfe264dc1, 0xf139936c, 0x83852434,
+    0x964698c9, 0x7f3e9a14, 0x27a2223a, 0x44e14937, 0xbe933928, 0xee2d93da, 0xb1b28e05, 0xc53a769d,
+    0x240a87ef, 0x51e692ae, 0x8497f4c3, 0xfb513529, 0xdb679de1, 0x54b82299, 0xef2b2a7b, 0x2b63ed8e,
+    0xac86bcf0, 0xf77b642a, 0xe1b47845, 0xa5ddb096, 0xb49fa15b, 0xb882f87c, 0x4c83dfcc, 0xb107d7a0,
+    0xa290b923, 0x90b56a6b, 0x6319339b, 0x9f8baa9e, 0xccd3635e, 0x990bfe0f, 0x3c9163ef, 0x8fc69d67,
+    0x0cce9b19, 0x847d47db, 0x999ec3b8, 0xa314f78e, 0x239b61d3, 0x27d92782, 0xdaaac4d9, 0x720039ea,
+    0x5e04f925, 0xc80195b0, 0x25a1d4c1, 0x4401655c, 0x54c3d1c2, 0xc57c92d8, 0xd6dbd11f, 0xd98af956,
+    0x50c40109, 0xb4e8cd73, 0x4493f8d5, 0x23707656, 0x50471465, 0xff5cfc87, 0xe965e30f, 0x6a0658fc,
+    0xe528d2e1, 0x4874407c, 0x1080da58, 0x7652d6df, 0xb217f7de, 0x1ffbafd1, 0x4cb22fac, 0xc3f97f54,
+    0x2fd36d85, 0xb4960b3b, 0x38e2ae97, 0xf9c374f2, 0xc3bf1819, 0x863938bf, 0xe5c53896, 0xac6c6ab4,
+    0x547c24d3, 0x0317d36d, 0x2583be77, 0x302a1e38, 0xd3ea9986, 0x1464bcc6, 0x58e31b3e, 0x108b4c56,
+    0xc15aede0, 0xc4300e3a, 0x73491928, 0x1729f9cb, 0x85b34be0, 0xed9c0f2e, 0x45dda12d, 0xe592c604,
+    0xbbe80985, 0x92802340, 0x1020997b, 0xb8b05f69, 0x17066543, 0xd17b4426, 0x99d42bc9, 0x39f7284e,
+    0xbb864e69, 0xf020e472, 0x179b35f7, 0x2b9eb669, 0x90e4cc0c, 0x534006ec, 0xabcc94df, 0x484182c1,
+    0xac8da45d, 0x99c3b4fc, 0xb4acffc5, 0xe6105f24, 0x6d754a7f, 0x0a403998, 0x2d0dd609, 0xd4a20c3f,
+    0x1be7546b, 0x3fdede4b, 0xc1ced7eb, 0xa16279a9, 0xab0a6ed9, 0x14c5741a, 0x59ad99fd, 0xdd127892,
+    0x65af3d07, 0x751bd0ed, 0x4917f5ca, 0xbde4f4ee, 0x99975404, 0x2c0243ae, 0x8226d099, 0xfd93745a,
+    0xb527d93a, 0xdb8cb291, 0x6271802d, 0x1de9223e, 0xe070a3f8, 0xb58cbaac, 0x71fdbc7c, 0x1665f321,
+    0xf01d266a, 0xb6d017cd, 0xdda87dc2, 0x7ce36a42, 0x3c70bc57, 0xb03ffab6, 0xbbc1aedf, 0x5f26f938,
+    0xc08925f7, 0x0c26d430, 0x567138b0, 0x121ddd6e, 0xb2eabad7, 0x19365134, 0x5d366fa2, 0x1a2948d0,
+    0x7ec51233, 0xfda7afc4, 0xb353fcb0, 0x9ab3bed0, 0xc530e378, 0x6f81b2f2, 0xd899d955, 0x2bfb5701,
+    0xa81f7733, 0x7ae0cdf2, 0xd130227f, 0xf72e2356, 0x76afdc93, 0x27ac8471, 0x9518f04e, 0x1ad467a8,
+    0x8b5e69e7, 0x4aa5c767, 0xf8bcad62, 0xa76810ff, 0x5ee2ef1f, 0x11119157, 0x699c71d9, 0x85d8dffe,
+    0xc92c54b5, 0xfa494257, 0xb6ec7868, 0xa9e54c57, 0xd46488da, 0x546fb0a7, 0x90b7df62, 0xaecd4161,
+    0x8e2ff2e9, 0x52cbf7a0, 0x0c29e193, 0xeac8e9bd, 0xe4622cce, 0x7b991989, 0xd3991540, 0xb5ead0d6,
+    0x19f244bf, 0xfcb96ff4, 0x931f270d, 0x8d1e9088, 0x723652ed, 0x394a9bf4, 0x2be0f692, 0x1668a7dc,
+    0xfd4fbdd9, 0xb78f98f3, 0x2648a3fd, 0xa92b50b6, 0xa294db14, 0xdbebebdf, 0x4dd24955, 0x940940ba,
+    0xf4595047, 0x85f1d7c9, 0x372166ca, 0xc6e370d6, 0xd3ccae1e, 0xaf696970, 0x1f716d0f, 0x9b2e6deb,
+    0xf4eb1f3d, 0xa4212d57, 0xb5c90fc0, 0xaab47ec2, 0xb282ccc3, 0x3d0a71e4, 0xcc00abb9, 0x879ea145,
+    0xce7abaa4, 0x0f01bff9, 0x01b04294, 0x225076fa, 0xf683b85a, 0x11d02766, 0x6fabff6e, 0xd8b32b31,
+    0x5febba65, 0x43df3af1, 0x36976e04, 0x62243665, 0x2bcb2901, 0xaf5c76d2, 0x54c569a5, 0x688076d9,
+    0x3f8ccf3b, 0xa893da9d, 0xefdf7fcf, 0x4129b510, 0x1b7db4ad, 0xd6311a89, 0x81d7b998, 0x00c99c59,
+    0x320d27a5, 0x0a1609d3, 0xbaa21b80, 0xd586737a, 0xb9464de1, 0xdb6ef1f3, 0xedaede29, 0x1b35ac44,
+    0x68075853, 0xd3055ccc, 0x321d84bb, 0x9a650576, 0x26bc4573, 0xb8a93cc4, 0x7ce9ebde, 0xbdfd7004,
+    0x0de250aa, 0x5131a387, 0xfffeb71b, 0x4fbdf17e, 0xad7b0212, 0x89be2d44, 0xe58dfd3b, 0x106057e0,
+    0x8a5654dd, 0xb2bd3682, 0x08571492, 0xc2d3ef18, 0x00b313e0, 0xda40c478, 0xd93ccfd7, 0xa61c8a04,
+    0x8a64a0a3, 0xb134ace4, 0x2815bbdc, 0xe67ea8f0, 0x5f6fb4ee, 0x1a6ac6af, 0x55faf141, 0x78cf297e,
+    0xcc776719, 0xa4c9e8f5, 0x87794893, 0x80f7af88, 0xdd58a046, 0x413a8d6a, 0xca40ecd7, 0x341c3d31,
+    0xf0ca52a3, 0x27c4227c, 0xea0a73b2, 0xa2f318df, 0x2f191319, 0x11936f12, 0xa4f23a19, 0xa5fb9c2a,
+    0x95a150f6, 0x80608257, 0x2fcee776, 0x3670200b, 0xd8f8bc63, 0xc7359547, 0xff7b17b7, 0xe0372dca,
+    0x71933619, 0x0f472eac, 0x25b27cc3, 0xebd025de, 0x81f3e947, 0x4d2da0b2, 0x0afed906, 0x74b5bac4,
+    0xb07af439, 0x16eaee4b, 0x480836af, 0xd5af8759, 0xf38bb1d6, 0x3995e0f3, 0xea47393d, 0x23d20ddf,
+    0x263abbcb, 0x13bd8fcf, 0x9a830cf3, 0x9ebbb2e5, 0x98a614ad, 0x1fb17ccb, 0x9648342c, 0x07cd99c4,
+    0x7e658221, 0x998f8ad2, 0xb31863b5, 0x3dc72232, 0x02f77256, 0x4db7f931, 0xf796bab7, 0x8fa23d91,
+    0x3476c974, 0xd92a4634, 0x9ba1d005, 0xe53dffa1, 0xe989dbe6, 0x43e9d6b7, 0x2ae9e451, 0xb87296b0,
+    0xf815d73d, 0x830c4fea, 0xcd9db38c, 0x3d866c49, 0x35c76333, 0xe24fb2a7, 0xa18fcfab, 0x55415a1a,
+    0x3378b9fa, 0x6977bae4, 0x5841a3fe, 0x073dd39d, 0x5b7186c5, 0x9ff7c11b, 0x224e0775, 0x894e28a2,
+    0x20aa54ba, 0xf89dde7f, 0x20b3ef3f, 0x1eda6b9c, 0x49b5d586, 0x93bbb9cd, 0x808385de, 0x24fdce7e,
+    0x3863c537, 0x699f645b, 0x38e03f2f, 0xf64408ed, 0x33d35b59, 0xd2b5c0b7, 0xce7588c5, 0x15f056b6,
+    0x1005874e, 0x63ec7d66, 0xbeff639b, 0x839d6f88, 0xd6bcefa9, 0x76283971, 0x4cf71208, 0xe7de867c,
+    0xc71a5ba6, 0xb1073a80, 0xbb770c49, 0x4eaa3c6b, 0x955b76f9, 0x4b3ea5dd, 0x656ea039, 0xd12b80b8,
+    0x4c7f9e46, 0x5e50efcc, 0x5e9faca4, 0xa3877514, 0x538481f9, 0xf26e5922, 0x7fb13350, 0xc20308ec,
+    0x86bd996f, 0xad486ce1, 0x22449352, 0xed362f13, 0xd794a887, 0x13143089, 0x576ca915, 0xf4c2f193,
+    0xb4a7177d, 0xaab5978e, 0x5ca0a733, 0x5440acc3, 0x8ab282fc, 0x781b1cec, 0xfb16a936, 0x16373ab6,
+    0xa0c1f5df, 0xf0a5f8f2, 0xf9908fdf, 0x591ade80, 0x006c7f05, 0xae65713b, 0x66300bcf, 0x3db2a7e1,
+    0x86148a6d, 0x1b6eba6d, 0xaba14156, 0x59580881, 0xff3330f8, 0x05dadc34, 0x0964f343, 0xe38e48a2,
+    0x126ff0d4, 0xd4a5a1c1, 0x6f5466fc, 0x837dcbaa, 0x52a16e10, 0x2da136ab, 0x022acc49, 0x8869e5b9,
+    0x0e403341, 0xf45d2507, 0xddba6996, 0xf8c89d73, 0x89be167f, 0x284b90ae, 0x866af7e0, 0x0af61b07,
+    0x19af6259, 0x462199b7, 0x428b8894, 0x3b3f27ed, 0x949c93b4, 0xf9fad417, 0xfe082a54, 0x3367af38,
+    0x5f4fe8c0, 0x8b478cf2, 0xc19bece2, 0x9d483ade, 0xe7faf078, 0x7acd8e25, 0x4c61b2f5, 0x0268687d,
+    0x953dc042, 0x044f18cd, 0x38cf4c1e, 0xce48a76a, 0xe686115b, 0xf6ae23ca, 0xe6dedf4d, 0x34703459,
+    0x76e85226, 0x211bac75, 0x66b72a1b, 0xa9748194, 0x5feb7f64, 0x6784eeac, 0xedba2305, 0x0049374d,
+    0x22f891bd, 0x6e3223d9, 0xab6fa709, 0x195afcd2, 0x6afe77e8, 0x7e5e3242, 0x4ff61030, 0xb7f44352,
+    0x2955e345, 0x3f6cbc29, 0x3125785e, 0x99a1d39b, 0x31ba4dcb, 0x1eaec207, 0x4e11392e, 0x8f309f0d,
+    0x8c3f80c4, 0x2f910ab2, 0x99c932d6, 0xd22d079e, 0x11e8326b, 0xd064bfb7, 0xd97be2ce, 0xe30ce1c5,
+    0xee286e12, 0x1aa78b9f, 0x3d3fe649, 0x67ed6b69, 0xeffe04fa, 0xa4d4001a, 0x65937229, 0xb0198618,
+    0x117c3d9f, 0x27604060, 0x4f3bcdce, 0xed3709ce, 0xd1d75492, 0xd634280e, 0x4221d23e, 0x88940336,
+    0xd8044523, 0x056b4c54, 0x1fb24d8c, 0x9c8f8a89, 0x17f8e89e, 0x5834c4a8, 0x02ef1b19, 0x6e6e6906,
+    0x42e1d935, 0x07114e8f, 0xdb61548e, 0xf0a626c1, 0x3aa56b14, 0x97d45d62, 0xe091236f, 0xd2aaf96f,
+    0x2531d9ba, 0x1ec85f30, 0xd3757c11, 0xe8801aae, 0x9e01e575, 0xad241b4f, 0x0e4fc713, 0x06927b17,
+    0x71f6ce9e, 0x3327bed4, 0xb16e4661, 0x233d083e, 0x55024212, 0xfc860fee, 0xf20365ed, 0x1d3a6018,
+    0xead8879a, 0x62c9fc3d, 0x4765d5ef, 0x8c85749c, 0x7523b3d7, 0xbc13eb7e, 0x888e18ed, 0x53a1ac76,
+    0x719f76e0, 0x06392cda, 0xbb75dcb6, 0xfd47f96b, 0x4548a1d1, 0x5f0bc05a, 0xe3e673c2, 0x7f789fb6,
+    0x4a149941, 0x54c5e9ff, 0xf950c3b6, 0x920c7512, 0x005e5f6c, 0x54526b71, 0x7c3f26d4, 0xe2640332,
+    0x77691db5, 0xd16da663, 0x1d46d596, 0x17fe35dc, 0x23e9c81e, 0xae47e988, 0x041e9759, 0x01021dee,
+    0x64c987db, 0xdddcf137, 0x978348d4, 0x8a019bdd, 0x4c35046e, 0x6a3d2502, 0x8a4b2a31, 0x1451d8a0,
+    0xd055bb7d, 0x2c0f2c52, 0x27e97acf, 0x97392483, 0xdf6097d4, 0x76aec3d3, 0x0378c77c, 0x82d18d19,
+    0x86e83e86, 0x0e8a7262, 0x8bff0bdf, 0xb292fb1c, 0x37a03e6d, 0x43aa596b, 0xb10a4d9f, 0x00eae736,
+    0xd86a667e, 0x7fe34d0f, 0xcecbf18b, 0x7d9599f5, 0xcd5a15f0, 0x18fb3ab4, 0xff88205e, 0x689a83f5,
+    0x33b55d55, 0x589c1232, 0x153d4314, 0x298d317d, 0x40fcdd63, 0x16ec9484, 0xb4d9cf1d, 0xaa7ae4cb,
+    0x16ad7fc4, 0xe574c7da, 0x37b63221, 0xd8bb9beb, 0x9ce7c426, 0x71f14d77, 0x0e597065, 0x0fd13afb,
+    0x73cfd537, 0x18a66a7c, 0xebe74c40, 0xe75bcb8d, 0x9ec47cac, 0xe484d621, 0x4aac99c4, 0xd38f4f3c,
+    0x568655b9, 0x15c02e9e, 0x5ebe3fb7, 0x0c675087, 0x8e0bca64, 0xaeb5cd85, 0x60280b8d, 0x12466726,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000022934986159900715116108208953\
+                         02086940796564989168281123737588839386922876088484808070018553110125686554624 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f,
+    0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db5640, 0x4173c2ce, 0x833287ef, 0x4eea8f9d, 0x1f125f54,
+    0x00000000,
+    0xcf2bd36a, 0xac51bb5e, 0xbeb5f475, 0x50e98780, 0x85aac30a, 0x3af1eb20, 0xb079bf2b, 0x0ca1fcad,
+    0x6e48e155, 0x5b57f324, 0x37a2bd47, 0x40c2794e, 0x17713e00, 0x13ebf6bb, 0x24453e74, 0x0225b223,
+    0xffcdd60b, 0x32b1cdcc, 0x86011b5e, 0x9a5ec1bc, 0x26b1b9b3, 0x339457fd, 0x2ca8fcf9, 0xd31aed78,
+    0x161c49a7, 0x653cf7b3, 0xb4cf9eea, 0xd33b34b8, 0xa2ab7495, 0x2cc25e85, 0xea8f4ec9, 0xeef01e3b,
+    0x8c896136, 0x0a3df3d6, 0x11593abe, 0x9b05bdc8, 0x81d99abd, 0xdceca314, 0x78df7515, 0xa124ef83,
+    0xd4cd0ba9, 0x7e36a4d0, 0xd5e4a211, 0x5ef523d0, 0x409f0cd9, 0xbc87d6eb, 0x088849e1, 0xdcc4b253,
+    0xdd926c23, 0x83002e87, 0x13be92e2, 0x6c5b0ecc, 0xde1b6ccb, 0x98541265, 0x1fdd8bf4, 0x576031cd,
+    0x82aedc6c, 0x44b03537, 0x0214087b, 0x86cc97ff, 0x1b99b669, 0x56ff0c39, 0x323e2625, 0xa6b7e48b,
+    0x5a90f64d, 0x5505f293, 0xa178da97, 0x01030cb9, 0x50fcc0e5, 0x009b993f, 0xe64e1b9a, 0x12af02a1,
+    0x31789044, 0xd084aac5, 0x7f7cad6f, 0xadb4548b, 0x394c5e08, 0xc5253337, 0xbea1313a, 0xe6166aaa,
+    0x5438ccc0, 0x798d0e15, 0x5abdc5c2, 0x6d42faf9, 0x05b687d5, 0xfd1e6266, 0x4d4f2c88, 0x935fe522,
+    0x86e84b0e, 0x06d7306c, 0xb3519007, 0x0d7439f1, 0x70488a23, 0x6e3ed79d, 0xc65eaf54, 0x80df8e82,
+    0xe395712e, 0x043cf5d5, 0x9116c123, 0x4e712a41, 0xa432d0c5, 0x27c2c4c9, 0xb3a0e4f2, 0x690bf5ea,
+    0x81be3d99, 0xf0127642, 0xed60064e, 0xab189ae3, 0x464c9139, 0xcf832165, 0x9db3670d, 0xd3b40450,
+    0xf3c88c3b, 0xc8b61d48, 0xd8072adb, 0xa756784c, 0xcda6b777, 0x5a4aec06, 0xa55a36cd, 0x16dff3eb,
+    0x06082927, 0x1cafc355, 0x2d10c6a4, 0xac1f08b3, 0xe4cb1572, 0xeeb4b018, 0x42a6def1, 0x109cafa1,
+    0x1f1af041, 0xccc85f76, 0x4c5aa01a, 0xb8c0c411, 0x32d3987e, 0xa00b9f36, 0xe70cc389, 0x429ff9a9,
+    0xa7067bd1, 0x13e31578, 0x7df5d03e, 0x416b9050, 0x7962cde6, 0xa1bbbca1, 0x4e07efa0, 0x0ff1e610,
+    0x83adab15, 0x5e54e237, 0x9aef44c7, 0x9548ef4c, 0xce4e885c, 0xf3606d39, 0x8ce9513f, 0xd8c95ac3,
+    0x1c3db02d, 0x50169a4d, 0xc961a961, 0xafd5a2d8, 0xe437b610, 0x40c232a7, 0x3d2b4ec6, 0x862c5adb,
+    0xd16711ac, 0xdbc73afc, 0x688e4cd0, 0x3653acaa, 0x3829fe68, 0xe02b7b3d, 0x9fb9abe9, 0x0ce0aed3,
+    0x25596f46, 0x679bf63e, 0xf910921c, 0xf26e5e50, 0xea420d3f, 0xd49028ec, 0x6aee8c31, 0x46371c01,
+    0x991919c5, 0x00c9a2a7, 0xbfd251e8, 0x81c763b5, 0x77db3801, 0x0ba27e99, 0xccb38e14, 0xc4829c8d,
+    0x57e2f7b2, 0xab3777a5, 0x46ab07b1, 0x274c5898, 0x701cff11, 0x62939c4f, 0xf5d392a8, 0xe2b0cf79,
+    0x365db918, 0x49eaadcc, 0xc7aafc52, 0x05aefb7e, 0xb1d9fc61, 0x2c8e29cd, 0x31cf8977, 0x74027076,
+    0xbefb4e78, 0x32dc01a5, 0x285b1afa, 0xd252754c, 0xc4f18655, 0x0f32992f, 0x63d2896b, 0x9a9c1632,
+    0xf5836cbd, 0x2b01072e, 0x4b6ac9c3, 0xaeec1469, 0x07641651, 0x7ac6a2c6, 0x19526325, 0x4b0ade87,
+    0x008d6597, 0xf73ab750, 0x477084f2, 0xf9840d67, 0xaac36a11, 0xb6552d78, 0x23b37eb9, 0x07bc0b36,
+    0x1274c49d, 0xe5d61343, 0xa0829e09, 0xcf85ca69, 0xeb49b1e9, 0x3ada7c31, 0xd5b7a96f, 0x281cb8be,
+    0xb7c01e4d, 0x43ab1c69, 0x9e1092ae, 0x86f70ad8, 0xd4a7e909, 0xb8753e58, 0x917f7438, 0x253a307b,
+    0x824590ac, 0xf65e3dd9, 0x97e11d43, 0x48f6b76a, 0x0ff79fb0, 0xd8abc955, 0xa186f307, 0x2420c08d,
+    0xac092e7e, 0xa2ec04e3, 0x302383fa, 0x3790c2d5, 0xdc253e0d, 0x821fcf33, 0x922a444e, 0x90e4053f,
+    0x758e9feb, 0xacecb2cd, 0x47f54533, 0x1387ffbc, 0xd7f372d3, 0x444c9a72, 0x75ad2369, 0x1db14def,
+    0x12668fa1, 0x9f7bc7fa, 0xa368d9c8, 0x56ff599f, 0x2943da80, 0x0abb50cf, 0x19394107, 0x1c06ccdb,
+    0xaaafb6a0, 0x05ef58e8, 0xc24d179b, 0x11f8731c, 0xd6c26fca, 0xb9521f64, 0x0483cdc2, 0x2df2e297,
+    0xde56129c, 0x2808a31c, 0x1b08d937, 0x194f43d0, 0xde684ae5, 0xfc1e57c2, 0x9f4a17e2, 0x7e967018,
+    0x0b0c99b4, 0xa8bd96fb, 0xed262731, 0xccbbf957, 0xef19267d, 0xcebdbc4b, 0x054506c1, 0xd9dc5c24,
+    0x1f167750, 0x649e2067, 0x022ac6e9, 0x59498255, 0x19ab6594, 0x768a1747, 0xbba0ba33, 0x65c009ea,
+    0xd2b4c067, 0x5587078b, 0x440e6633, 0xca555225, 0xe117e686, 0x9ea579ac, 0x4d4af94c, 0x0186da36,
+    0xc90121d8, 0x54370b57, 0x25c9ec91, 0x23c0f12c, 0xa5ed7079, 0x9dd542a5, 0x4d13d2d2, 0xa48a2db5,
+    0x6db48937, 0x84d6baef, 0x78500c85, 0x27f53c4f, 0x4163e6c1, 0x50e3b495, 0xc542dbfb, 0x2332d096,
+    0xe97c396a, 0xc650abd7, 0xf4fff71b, 0x65d3afc0, 0x85799e62, 0xaf7c0fdd, 0xe40738bf, 0x39e54cda,
+    0xb32282d2, 0x4d3bb608, 0x128f8ee9, 0x8e1debfa, 0xc775b9dc, 0xcc82f235, 0x417684c1, 0x068e07b4,
+    0xd6606850, 0xbd452948, 0x7e067dae, 0xc2b57f18, 0x352df3ac, 0xf5121b11, 0x9164da5e, 0x3a9ee7f9,
+    0xdc7b89ee, 0x5816da71, 0x28e58690, 0x1bcd5438, 0x21015099, 0xbccef68d, 0x2499906f, 0xe6b95a53,
+    0xb226903d, 0xc3947ff1, 0x28242b13, 0x42b7f622, 0xbc2db244, 0xb210ff0e, 0x9945a1bd, 0xfbe4981a,
+    0x4c364b34, 0x327bf394, 0xb1115c85, 0x1b0635c1, 0x8efd83af, 0x3dbe1aa7, 0xb064b0f8, 0xc0b8947d,
+    0xecebb86c, 0x18add660, 0x50992a46, 0x27c5c094, 0x015e98c1, 0x368e6a23, 0xd5ec0d1a, 0xb2438444,
+    0x59911c7c, 0x944c64e8, 0xf71782bd, 0x035ac47f, 0xd7ade147, 0x45287361, 0x433cba46, 0x6cd0cbd9,
+    0x2d489795, 0x876af7a9, 0x32fabdbe, 0x7a560efa, 0x15eeea43, 0xfb38f3cb, 0x65819411, 0x3bd1bce8,
+    0xf72ea222, 0x9509520a, 0x0a903062, 0x6d12d2af, 0x71754859, 0xa9c5b1ff, 0xb8cac2cf, 0x2458ec7d,
+    0x9805a678, 0x6292f715, 0x56f3d9a8, 0xb0025d27, 0x268a68c0, 0x36394477, 0xf2644652, 0x6153b0f0,
+    0x2886ffd2, 0x52a162a8, 0x51c9776f, 0x1f7b2a37, 0x37d39c1d, 0x9699045b, 0xd2a2bea0, 0x30d58ac4,
+    0x6f9db9c4, 0xb2c5ef34, 0xb48729b9, 0x5b51cb6c, 0xc2db15a7, 0x2c3c7b42, 0xc01d5e06, 0x4490bb86,
+    0x3e4a9bf3, 0x1abcb0bc, 0x75648a2a, 0x63fdddeb, 0xdd052c84, 0xeea15318, 0x2fd1755b, 0x210b6119,
+    0xc178f6f6, 0x80b9c797, 0xd3d389e1, 0x8867c5d5, 0x90c5a8d9, 0x5e133c37, 0xebcbf543, 0x9ebfc8ec,
+    0x903f8687, 0x003764ba, 0x0d5791f6, 0x19498c29, 0xf715b3e5, 0x7885aaef, 0xa072b5b5, 0xcb284422,
+    0x3c177ba5, 0x1bd7172c, 0x75673a4d, 0xc263779d, 0x6ce667cc, 0x7631c14c, 0x52cebd0a, 0xcae2eec8,
+    0xb9822d8d, 0x5ea018c0, 0x7fa213e3, 0x2b9cedc6, 0x7e92bde0, 0x12db06ad, 0x520f4542, 0x34efa979,
+    0xd786e5b7, 0x92dd65a6, 0x7694f796, 0xc9da1f7c, 0xf13c7c10, 0xc6f14092, 0xb86914ee, 0x508db02b,
+    0x89f8fc90, 0x65eb0864, 0xf13c47c7, 0x2dbe9924, 0xb9693865, 0x5d002e90, 0x40b4bbef, 0x8c928cf8,
+    0x60f31e33, 0x4f12653b, 0xd1707f60, 0x7e5efbe4, 0xeafdcc72, 0x6fc604d4, 0x6708dd14, 0x6cc7cec4,
+    0xfa91d17f, 0xdca4d8bf, 0xf5a4b484, 0x87a80d92, 0x2925a6a2, 0xa7c79a14, 0x658041a9, 0x421b2b75,
+    0x1bba6f72, 0x8bd1ad72, 0x05a6899d, 0xe1700dc5, 0x03c506b8, 0x82f3ed63, 0x4683fd66, 0x54d11266,
+    0xe7553ed7, 0x273fd41b, 0xebbd2e58, 0x5c83c4b6, 0x9da009bb, 0xd5d2f127, 0x450c70d6, 0x884447df,
+    0xd0fce728, 0xe24548f2, 0x3e91a42f, 0x3d767ce9, 0xf8bdbd3c, 0x1ba540db, 0x73ee4ef9, 0x82d1e84d,
+    0xaeb2314a, 0xf4a61f4c, 0x703f12c7, 0x531938e8, 0xb276b316, 0xf4be855b, 0x2076d62a, 0xacb4e0cc,
+    0x957fafb4, 0x008a7ecc, 0xdbbc37bc, 0x11113367, 0x60e61d19, 0xb626ac2e, 0xfd9434fb, 0x90fef46c,
+    0x7b2d6084, 0x7829010d, 0xdad13e1b, 0x16a81ce3, 0x15c4fb4f, 0x21ba24de, 0x15787d8d, 0x22958867,
+    0x20f8e0d3, 0xfd57dac3, 0x744b9579, 0xb56cd061, 0x78b20121, 0xba7e6495, 0x34e318ce, 0x30c1bbb9,
+    0x74e6e5a5, 0x67af4566, 0x774d89ad, 0xa87fa45a, 0x200e452e, 0x7b9d896c, 0xb30ba9dc, 0x11588037,
+    0x531e4c42, 0x80e9eb1e, 0x3072cad6, 0x28058416, 0x3dad51a8, 0xe8f3fda6, 0x5c27f25c, 0xf1da20f9,
+    0xf86146f4, 0x368c7914, 0x8d276fe1, 0xae3cd4bb, 0x84ae5ec1, 0x9f4bcf28, 0xc5655e97, 0xd43eeea7,
+    0xffefd5ac, 0xbaab84ef, 0x5a3b7cd1, 0xda15e9e3, 0xc8130247, 0x8d52ccef, 0xf2a99f8d, 0xc1d954f6,
+    0x9b73cd9d, 0xd9c91856, 0xc9aa4df1, 0x805c7363, 0x2735e4bf, 0x3bb21a1d, 0x74507c51, 0x34b0445d,
+    0x19c5147a, 0xeabbe166, 0xece41f28, 0x4cf68e6e, 0xfbe96398, 0x9e8bc47b, 0xc33b5368, 0xbb0e8041,
+    0x7a1c76ca, 0x68f91c3b, 0xb29da1f7, 0xe2205da6, 0xc230eb92, 0xa949a4f9, 0x7dcde7f1, 0xa4381639,
+    0x7a4d3a8b, 0x97c8ab4d, 0x9ec440da, 0x41673edc, 0xd9988978, 0x762b8cae, 0x41fd1c13, 0x3cd0c487,
+    0x3d6cb978, 0x630644e0, 0x194be1a0, 0x2b0545ab, 0x9082084c, 0x36950f96, 0x58c177bc, 0xc6327da9,
+    0x34781b9c, 0xc539a4e3, 0x9462c5cf, 0x9dd1d1c2, 0x0178d807, 0xdf76b641, 0xb4a6d64f, 0x58202a3a,
+    0x49885304, 0xf0878ea4, 0x57578a5e, 0x0b074bf9, 0x36027088, 0x1d6af618, 0x7db8fd5a, 0x22e9a8b6,
+    0xc71edda3, 0x91155ddc, 0x323011fe, 0x5fb50d99, 0x038de372, 0xdbaa297d, 0x6d11a826, 0xb0429d56,
+    0xc05c511f, 0xa8ae10fa, 0x901e5563, 0xe868a9e6, 0xf4ee1bc2, 0xa485bde5, 0x4d1d2ed3, 0x0e0b2fd2,
+    0x392b03d3, 0xd63a5eec, 0x79e5b57e, 0x3602c6a7, 0x2af9d4cc, 0x7e5fb6ef, 0x6ec901fb, 0xfe8af74e,
+    0x3ae07d03, 0x335dd04a, 0xc21ab698, 0xe6ef2034, 0x2e32ed1c, 0x021f8db1, 0xef65e60b, 0x60d1832d,
+    0xbf1cd0cc, 0x322a25af, 0xc40eb80a, 0xb8c71628, 0xe07d61c2, 0x8e690d2d, 0x310f636c, 0x4c0bc3a7,
+    0x526f6bfa, 0xeb6b7f6a, 0x0a08a8b9, 0x1890b0b9, 0xa5d603b2, 0x0f362056, 0xc02cee3e, 0x7e203f6b,
+    0x14b6f3d0, 0x157372fc, 0xe55ebe83, 0xeb433c6a, 0x9c708d15, 0x93d31f6e, 0x415a7cfd, 0x4025bc11,
+    0x1fd7b676, 0x9353309f, 0xb693cbb5, 0xff654820, 0xbbd944e3, 0x89ffeb60, 0xa322e737, 0x59e7734e,
+    0x35708e18, 0xc1a1cd53, 0x517af14e, 0xa8825bb2, 0x048f30c0, 0xeac8773d, 0xc0f3785b, 0xb00f9147,
+    0x2c3db9d6, 0xaf8b09c9, 0x4a4b6fe6, 0xb4dea4e0, 0xd143b9b6, 0x04262a9d, 0xb12bf7bd, 0xb618198c,
+    0xc4a325a9, 0x99536310, 0xb9b8b2a4, 0x2d04c9bc, 0x47eea7d2, 0x36cdc075, 0x9ac5e292, 0x0c3ee5ed,
+    0xddf8034a, 0xa3816126, 0x30bc7fb6, 0x67235052, 0xa66c51de, 0x621a49b6, 0x0d4c6f92, 0xeadec98b,
+    0x3cb59136, 0x61c59ba5, 0xaba32f5f, 0x2a9e2b8b, 0x30d448fe, 0x70289aaa, 0x3d779a14, 0x659a15fa,
+    0x463e4bee, 0x82d1fe70, 0x201e56e4, 0x3c096a3a, 0x440207df, 0x87ea4bcd, 0x56ebdd45, 0x3a8456b7,
+    0x4f806ca8, 0x239d9fea, 0x6284f383, 0x4ee36bab, 0xf81161aa, 0x68f56228, 0x84b5b148, 0x6de798f8,
+    0xaaa4bcf7, 0xf1da6b35, 0x4da4cbed, 0x14bb2168, 0x481c3bef, 0x2bf195d7, 0xd84bdf88, 0x46e56869,
+    0xe560aeb9, 0x9ac4ff30, 0x3d731fb9, 0x902c979e, 0x1e0556f9, 0x1e55da75, 0x7428d4ed, 0xf82ecee0,
+    0x1d612204, 0xc66a62b7, 0x160fc1c4, 0x31720091, 0x75ff4476, 0x7da964d0, 0x95ec10d3, 0x5a791066,
+    0xda8a2c21, 0x4c9fe197, 0x087aea50, 0x5cb835c5, 0xc93266b8, 0xda72bb3d, 0x404ba86c, 0x9ff9c1eb,
+    0xc4d0482f, 0x7e448371, 0xf99bdfcb, 0x9e2d4ac3, 0x052ada77, 0xbdc24d6d, 0x4654af95, 0x42fc04f8,
+    0x801eb675, 0xc4b0b644, 0xc31cea77, 0x4f021573, 0xb750d455, 0x2a672fca, 0x1a5b618e, 0xbaac83a6,
+    0x79128d89, 0xf38b08ff, 0x163a2456, 0x884cf8ff, 0xb9633697, 0x925e2d9d, 0xd827d460, 0x5d60560b,
+    0x1333f092, 0xe985a7b6, 0x23dac737, 0x35947c07, 0xb5911d2e, 0xb6347168, 0x1dd47820, 0x851c20ac,
+    0xafc1fc67, 0xd9ef6b44, 0x25b90966, 0x306f7a57, 0x420014c7, 0xdd45b54b, 0xd77876d8, 0x1a4a62a5,
+    0xaa966420, 0xe9c30728, 0x2fcc93be, 0x00900a70, 0xbe0cbc55, 0x85eb85f3, 0x98ca5106, 0xd945928f,
+    0xb7b5dc96, 0x4373a656, 0xdcbe2485, 0x36a58b41, 0x391d67c5, 0x86412df1, 0x099784bc, 0x88c7ffca,
+    0x8f5c5208, 0xea493da8, 0x5868908e, 0x859a224a, 0xfd071a07, 0x56a6faa5, 0x40d8b142, 0xac089c19,
+    0x00b4db38, 0x2622610e, 0x6a35edac, 0xce1eec3f, 0x815089ff, 0x569115aa, 0x032a5315, 0x0ca7b512,
+    0x93fefb2a, 0xd9eb7719, 0x614f496f, 0xa0498aa9, 0x23f5c7c9, 0xb9260ac6, 0x6b71d6b4, 0xc21ce2e7,
+    0x40d5006f, 0x4b9d9a34, 0xf35f982a, 0xc1a3ddc6, 0xd4c26a43, 0xa51980c1, 0x72b36241, 0x410e4640,
+    0xfd3216da, 0xc347834b, 0xbf1352e3, 0xab2a214a, 0x18fcd315, 0xc4242984, 0xe2ba0d91, 0x9d880f74,
+    0xcdc7b03e, 0x9212ba40, 0x69c8c9b4, 0x653eddce, 0x0c9764b6, 0x7df8262e, 0x2a86582e, 0x0cf954a7,
+    0xb77ef3f7, 0x113ca934, 0xf5e6ed9b, 0x8a1536a5, 0x021b0d1f, 0x0e461192, 0x6148494d, 0x96fde9c1,
+    0xcd78a2e0, 0xdfc9502e, 0x467d697b, 0x8236d519, 0xa53eda85, 0xe617f682, 0x752e9046, 0x4b37bd30,
+    0x7eb1c86e, 0x907bcc26, 0x0c18a2b6, 0x488f35f3, 0xa1de5b67, 0xcc946aaa, 0x83222a57, 0x08cd1733,
+    0x3918336f, 0xd711dd88, 0xd0495c18, 0x7d231a3b, 0xdce6c255, 0x00870d6e, 0xdb91cf27, 0xb4d71bd1,
+    0x86fa4e3a, 0x0a9c16c7, 0x043d8f4c, 0x2b78404c, 0x2e9236f6, 0x56eb6599, 0xa1d5f372, 0x02db68fc,
+    0xebe44329, 0x67d9b175, 0x44ac7a6c, 0x1c8c419f, 0x62def978, 0xf5ffd84a, 0x9c524355, 0x496190fa,
+    0x7c9df9a2, 0xa75ab577, 0x8bd5f3a9, 0xe341c470, 0x6c9c69ca, 0xe12eacde, 0x8df61621, 0x0767179f,
+    0xf2373daa, 0x3a9e349a, 0x6e5ff878, 0x1cad9cf5, 0xcf510309, 0xd5041884, 0x93d58607, 0xd087db01,
+    0xd586e709, 0x3271146f, 0xa5cf522b, 0xa67a747a, 0xb277e156, 0x184c61c4, 0x918d0b46, 0xd4f0bd80,
+    0x727845a1, 0xfcd423cc, 0x20f29012, 0x110145f0, 0xa0b6692e, 0x682edd75, 0x43703223, 0x85215a29,
+    0xe98c6e7b, 0x0620b654, 0x4c47d8ac, 0x4bdeb464, 0x452307c3, 0x6dfbfd22, 0x367f9c5a, 0x702e6b23,
+    0x6def46ad, 0xa3002659, 0x96bad25c, 0x042e60d0, 0x6d5de3c1, 0x2f9ac091, 0x3342e182, 0x86e04dff,
+    0x343d25ea, 0x500fb269, 0x00f663d7, 0x50df5692, 0x57d00f4b, 0xaed0dfac, 0x0375920e, 0x95e549a1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000011467493079950357558054104476\
+                         51043470398282494584140561868794419693461438044242404035009276555062843277312 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf,
+    0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e167, 0x419943f7, 0xa77547ce, 0x8f892fa9,
+    0x00000000,
+    0xe64b8aa4, 0xcf655933, 0xa96751a5, 0xd5724753, 0xd8917e88, 0xb08749a8, 0x0252b3b2, 0x7e7cf970,
+    0x994cd49a, 0x98edc4d9, 0x25350fdc, 0x29ac9273, 0xc9d40d16, 0xf652d2ac, 0x41e0789b, 0x33f1502d,
+    0x84fd25e6, 0x4e3ee71e, 0xc8b3f764, 0x58b13239, 0x69e239b5, 0x149c3eed, 0x72373420, 0x1321b2f7,
+    0xa855b3a7, 0x7f783916, 0x06abb405, 0x4232be54, 0xbeedcdf8, 0x1df48add, 0xc59a32e2, 0xfb50de47,
+    0x3d6ec2dc, 0x72bca1d5, 0x1b0f4644, 0xc1df8376, 0x11d773c9, 0x99eb8914, 0x6437286e, 0x348f0a41,
+    0x2f89988e, 0x8d2de3ed, 0xd486561d, 0x37449530, 0xde7a0221, 0x33cd4161, 0x05d66aaa, 0xa6a5788b,
+    0x4e230574, 0x16a96bcd, 0xae723e4b, 0xe731539e, 0x792cb172, 0x77c01590, 0xb3423ece, 0x2b3ee8c8,
+    0x0a09ba50, 0x4b9a1ee9, 0x8384e1c0, 0x73fcfde9, 0xacd67070, 0xd7858006, 0x800aa633, 0x701d8b50,
+    0x98ccf340, 0x2ab833af, 0x0dc75478, 0xb9f6da9f, 0x71692f6d, 0x4321c4d2, 0x37eb5504, 0xfac38348,
+    0xdac7a0cd, 0x861aa599, 0x6e78ac5c, 0xf306691f, 0x0bf6e666, 0x70b81cd8, 0x800db9a2, 0x34caac70,
+    0xd3b2b926, 0xe5fe75f2, 0x94b10c13, 0x8a2c0a5d, 0xdadf36c1, 0x5b14e20d, 0x5b4f04ff, 0xe64e9805,
+    0x04922939, 0xe7c99078, 0x7306b31a, 0xcddb1617, 0x986058d5, 0xbf38d9d5, 0xfa36b8be, 0x22d6d2c4,
+    0x1d6f8f90, 0xab07e3b0, 0x1e20a1ce, 0x57b8451f, 0xe9e0c632, 0x2ad7f46a, 0x5c3fc62d, 0x2d807d2e,
+    0x9f4190cc, 0xb77ea892, 0x3c69b8e4, 0x48acfe69, 0x879c786a, 0x892ce367, 0x31b7c6c9, 0x695ba184,
+    0xf3376eb1, 0x7a2ede6c, 0x66453f28, 0xf960dd20, 0xdc541363, 0x686ae013, 0x97158a9a, 0x258dae3e,
+    0x62cf35ef, 0xce3f11dd, 0x57efafde, 0x049793c7, 0xab78c019, 0x3ab8dd17, 0x600f3020, 0xfce18fbc,
+    0x179925cb, 0x12f35497, 0x5ea9ae7e, 0x665aa4a8, 0x7943b1f6, 0xbcb16631, 0xe8cefee2, 0x299119a6,
+    0x62193172, 0x6c09a8c3, 0x7964c069, 0x8ac49cc4, 0x3c45106b, 0xd6b8d316, 0x5ad1f6a8, 0x039070ca,
+    0x89e98d65, 0xb5f468b3, 0xe4d15111, 0xf2ff57a8, 0x4ff6157f, 0x19e57bd6, 0xaa9f6e0b, 0x7efa2723,
+    0xa0fcbfdf, 0x8ad5d0f5, 0x27adc4f9, 0x30d06a92, 0x40d81d5d, 0xe18d97a6, 0xc76fa516, 0x4f2dfc72,
+    0xac12fe35, 0x71f81041, 0xf82f4b4e, 0x82af46d7, 0x760c113f, 0xae5c1ffa, 0x96d63039, 0x5e2c447c,
+    0x9c72bed9, 0x5a451ffe, 0x0a800793, 0x63c9bb93, 0xe1a1e5a4, 0x3b0c86c3, 0x70f6cbf1, 0x043f573d,
+    0x585cfc74, 0xfff953e5, 0x0cf28bfb, 0xccae4f39, 0x90c2aefd, 0x1a85985f, 0x55aef8fa, 0x36d2446d,
+    0xefda6bfb, 0x58ad167c, 0x7b25e043, 0x1a76313f, 0xeb700d52, 0x5b10646c, 0x87a81cab, 0x80705739,
+    0x2e2ab8cb, 0xf8a49907, 0x0a023a54, 0x0f2b779b, 0xb1528903, 0xf738e494, 0x093b7563, 0x718468df,
+    0x9991b16f, 0x9ba98bd7, 0xbbc2982e, 0x1190798f, 0xc33d9078, 0x1bd2132d, 0xeffc3c06, 0x778a4b52,
+    0x71dfa26b, 0x173b3534, 0xddbc9253, 0x231c24aa, 0x433088e0, 0x61cd7e32, 0x968876ad, 0xba81848d,
+    0x2c4d0418, 0xff44b5ea, 0x1818c21a, 0xb20d1b82, 0x90513c2a, 0xbbf4fb54, 0x86afd737, 0x83a39efc,
+    0x432b49ee, 0x32e09c65, 0x460167b2, 0xf5a50f38, 0xb37d7149, 0x9c764df0, 0x0ede303c, 0x66746c52,
+    0x2a9975bf, 0x31d4ed70, 0x33a68a79, 0xd7ae843b, 0x07ba8b01, 0xb438ea10, 0x9fee8902, 0x81d1eddd,
+    0x02d8c350, 0xf8fcf9f1, 0x51751233, 0xc6342cd4, 0x2dba17c9, 0x1b72e87e, 0x3804dda1, 0x3f00e122,
+    0xc8e76683, 0x23d8bb9d, 0x580fe20b, 0x0b263fa6, 0xbbbdcc3c, 0xe44fac15, 0x6846e1f8, 0x30ba21ac,
+    0x20612093, 0xcbe39056, 0x48b986f3, 0x81a926ab, 0xe0975ac1, 0x1f2c2556, 0x119a0a99, 0x9ac12d88,
+    0xd364b886, 0x44d37dac, 0x6babb8a5, 0x08dcc03a, 0x7be86321, 0x6606d95e, 0x13751385, 0xf15eb362,
+    0xcbf81cab, 0x04d9a406, 0x3ee284d7, 0x613e605f, 0x08c8f97f, 0x1fdb571a, 0x84ab754a, 0x0f5e8adf,
+    0x5a0051cb, 0x610d38da, 0x536996e2, 0xa90c8a2e, 0xcb3845fa, 0x8774058a, 0xec0ae22c, 0x87b11c84,
+    0x2eabb0da, 0x06617de3, 0x776f0f24, 0xab40742c, 0x200f3d37, 0x051e175f, 0xebfceaf9, 0xac207a4a,
+    0x5cba07f3, 0xe0a91672, 0x84836df4, 0xd3ddf242, 0xbbd4ea70, 0xbde8097f, 0xdbbd1e07, 0xf7b4391d,
+    0x25db0215, 0x8b026319, 0xafa61927, 0xa751b524, 0xc0aa7f27, 0xb05bce8d, 0x34e99bdf, 0x170e241d,
+    0xc62abf42, 0x95e010a8, 0x5dc87477, 0xf263a396, 0x19960fcc, 0x382da791, 0x0455908a, 0xb8627b41,
+    0xfc6f86b3, 0x2e062aaa, 0x4d656334, 0x41842e11, 0x771d6434, 0x8f20e596, 0x6429cde3, 0xf9742fab,
+    0xb2537fe3, 0xe826718d, 0xc29dd6d9, 0xbf000a01, 0x104158e3, 0xa71b4e9f, 0x09363b36, 0x9d533473,
+    0xcf6915a8, 0x99e368e6, 0xbdb49a32, 0x4235c852, 0x383c9ffd, 0xcf9d4db5, 0x28ecc0fc, 0x55bb8ef4,
+    0x0619e88b, 0x477494bd, 0x14baa823, 0x99ccfb24, 0xebbeb937, 0x4435912a, 0xbff62d53, 0xe725bc00,
+    0x55cc9618, 0xe790ce6e, 0x46f96eba, 0x9bd11c7a, 0x92f5d8ad, 0xe3f3fd55, 0x89912016, 0x86931ce5,
+    0x835997ef, 0x69c91aa4, 0x21213d3e, 0xc3896ceb, 0xce4b76f4, 0xc3ef0d8d, 0x982440f7, 0xa43367f4,
+    0x2090b802, 0x198acdaf, 0xe742fa6f, 0xc6ef155c, 0xfd3e2f0f, 0x7dc88bde, 0xc47de0db, 0x1d6b9b9d,
+    0x6ef52050, 0x6ccff087, 0x4d7e2e25, 0xbfca0623, 0x1d84bf26, 0x770b541c, 0x4d02382b, 0xddc16377,
+    0xc5a8b9c4, 0x1795af0f, 0x23819ceb, 0xdfee36ee, 0xaf3f9d2c, 0xce14c66a, 0xe1a22008, 0x11f7e829,
+    0x04493899, 0x4236b69f, 0x6adbb638, 0xcf421eb3, 0x51eaec63, 0x4f615b89, 0xe14e3559, 0xa775c681,
+    0xd5fa269c, 0x0fe79260, 0xb78dedcc, 0xa751687c, 0x6c6c5e3b, 0xa75c84d9, 0xe6386e12, 0x1a215ba8,
+    0xe68c238c, 0x65378101, 0x2c423fbf, 0xcc327595, 0xa05179c3, 0x530c3384, 0x54c1b8fa, 0xdbe8e9e8,
+    0x91f48cd1, 0x603fecdc, 0x18479c12, 0xf16f259d, 0xb3e2c5d6, 0xad337ad0, 0x5d8c87e8, 0x6a1fc137,
+    0x11c5d055, 0x04761972, 0xc2d248d6, 0x2c022b1c, 0x9bf234fc, 0xc6a64800, 0x4cea5c4a, 0x3fb93fec,
+    0x7e476c8e, 0xcaa44224, 0x3e09bff7, 0x95e10e76, 0x243f3451, 0xdfe778e1, 0x4dc0f71e, 0x5ac0f903,
+    0x2195a74e, 0x75c26907, 0x20fb48e4, 0xcddbec0d, 0x30fc74b9, 0x895477dc, 0xde70e430, 0x5b0f9943,
+    0x3f0316ae, 0xdcecdbd7, 0xac070d11, 0x2aa20d5e, 0x1b5445e2, 0x8593f1d8, 0xf60ce900, 0xcbca5e87,
+    0xb13fc7f4, 0xc0b32fe7, 0x710f13c5, 0xe6861b79, 0xfa022428, 0x75365784, 0x20d9c8be, 0xe8317f33,
+    0x4b3dc8d0, 0x8b46f65d, 0xc9619901, 0xa4aa05ad, 0xc55a4990, 0x5a63335e, 0xb2d75ffc, 0xc1f34066,
+    0x904a93b6, 0x98550542, 0xf6d5f879, 0x49c45bef, 0xf832fb34, 0x02d8afbb, 0x24fd97a5, 0x5910962d,
+    0x0523f2ed, 0x435b7774, 0x478db9da, 0x8f09ce3c, 0x9f55faa0, 0x478afec4, 0xe1dc1a55, 0x75bfda56,
+    0xddba858c, 0x29d71478, 0x9bb82674, 0x88edda18, 0xf9b15851, 0x2560f2d9, 0xf633c877, 0x68e2ab0b,
+    0x5b930d84, 0x5f6a1a9f, 0x6e4de069, 0x9f9eda98, 0x19d913cf, 0xb07175e3, 0xe8411325, 0xd82a0e0e,
+    0x75abd3d6, 0x1f487f56, 0x5550fa35, 0xd1cc78d4, 0x5f8ee5b2, 0x4d637f83, 0x8093e252, 0x9b18c6d4,
+    0xa0f307be, 0x71f491b9, 0x4cda715e, 0x2fac0fcb, 0x0efd2442, 0x009b5733, 0x4173031b, 0xa6c84235,
+    0x3a2007d9, 0xc591ecf3, 0xc3867659, 0xee9cfd49, 0x25eed6e3, 0x8da7f5d2, 0x246d44d7, 0x676f116e,
+    0xfadb44b4, 0xb689ba84, 0xc5072439, 0xaf370b99, 0x96a3f850, 0x2aa1c17a, 0x3727b93e, 0x6bcbfea2,
+    0xd2b0b9db, 0x7fee62d3, 0xf09bf83d, 0x068a0148, 0x19ca4dec, 0x92da86ac, 0x4be0c348, 0x205501e9,
+    0xa92ec99e, 0xac623497, 0xcc58268e, 0x0cdff4eb, 0x81117826, 0x094afc1f, 0xab242fbd, 0x4ff6f4c6,
+    0x33a26877, 0x53296c94, 0xe0c8f3da, 0xc78cd5cd, 0xa68d54ff, 0x3190a279, 0x233e5609, 0xb5a07e43,
+    0x4ae46108, 0xa120b7bc, 0x79046817, 0x6a210ea4, 0xb5e2e25b, 0x134566b7, 0xbdab6b6b, 0x90fb3491,
+    0xba4a32b3, 0x0b16cb67, 0x0ac72d4b, 0x5defad32, 0x63c1906c, 0x073a81c1, 0x52e54db9, 0xe3fc20d6,
+    0x5ebebfa3, 0xf6d525d1, 0xe4e590ed, 0xe1a3c8f0, 0xd81ab7d8, 0x2b027204, 0xbb8c2b05, 0x5ca6689c,
+    0xd8a509d7, 0x53c9d6e0, 0x0eeb2d6f, 0x50402c20, 0x4acd72ca, 0x64ddaa87, 0x4f8f78a1, 0x9f569d4e,
+    0x58f2dd81, 0xa830e3a2, 0x02630aeb, 0xc1a2812f, 0x2c435813, 0xfe2fb3ab, 0x73fbcf84, 0xfee8f53f,
+    0xb900778b, 0x507b2ec2, 0xa87e3294, 0x08879170, 0x3550086c, 0xbd29522d, 0x2e212caf, 0x85d6ad25,
+    0x9ce01ab9, 0xdcfe3786, 0x7ee61755, 0x63aaa507, 0x49e45de6, 0x4e36a94c, 0x8d179ece, 0xae86c38a,
+    0x38d7a453, 0xf4a90c21, 0xeead5a4a, 0x96e733cc, 0xefeda75b, 0x059771ad, 0xd01aadc7, 0xd5b18af3,
+    0xba5ac7d6, 0x0dcc0adb, 0x76ca4029, 0x6d3dcaf4, 0xc30838c7, 0x2473b53e, 0x1aef47f6, 0x983e6b79,
+    0x1a5e0d76, 0x9ed5b898, 0xe8310b08, 0x3da3c81b, 0xb1d4b3d4, 0xc94187d0, 0x4d62129c, 0x71ecda21,
+    0x7f5e2592, 0xfabbefd8, 0xc93ceaca, 0xa14002cd, 0xb318fb83, 0x00c90716, 0x760a6542, 0x9d1bffa4,
+    0xe2252dfa, 0x649c53f8, 0xdfb0dda1, 0xb567cb13, 0x8c84d6e8, 0xe3ae34e2, 0x73b70aa9, 0x656321e6,
+    0x557e3009, 0x992f4537, 0xc97e96c2, 0xbaa8d73b, 0x73265016, 0x140a2535, 0x7c6424ec, 0x2273d494,
+    0x8823bf75, 0xb0400ec9, 0x993d70fe, 0xbed7ecd7, 0x466f4d34, 0x1d173373, 0x43610b7f, 0x2cc9ed31,
+    0xc9baa466, 0xde8c680c, 0xc9e5b47e, 0x232345a1, 0x36e73c19, 0x07032ea3, 0x64c24213, 0x071a2440,
+    0xd7c95261, 0x0e2ec225, 0x09ff3eeb, 0xf410a353, 0x3ca5c943, 0x402c362a, 0xc4b6ec86, 0xf2600749,
+    0x422693f4, 0x03693567, 0x830c2b07, 0x87524bf3, 0x738f4aa8, 0x2096ae0d, 0xf264228a, 0x4003d4ff,
+    0x36e72411, 0x937e7d74, 0x6c4f9572, 0xdc67f5b6, 0x2a8d5384, 0xa3e719db, 0x8f8e600e, 0x73608e95,
+    0x63c9cf63, 0x2c563558, 0x0f306679, 0x93f2f816, 0x9c15094a, 0x14822eea, 0x33f5add5, 0xa8c98b9b,
+    0x4f2f3588, 0xb22dbd40, 0x1ef862d1, 0xd9d9bd0f, 0xe498ae3c, 0xc4ca8cf4, 0xfb9bd06b, 0x1563fb8c,
+    0x6fb933dd, 0xda2c270b, 0xadf145c0, 0x068fa95b, 0x3372bcf8, 0x9ef6adae, 0xd5412f05, 0x93b79da7,
+    0x742933d4, 0x6a60ca7d, 0xef07aa08, 0xe9f2d616, 0x3f02ab0c, 0x4f25c9d1, 0x3cf654a5, 0x42c8dfca,
+    0x963737f6, 0xeb16f025, 0x2f9986ce, 0xc0e59198, 0x845912ca, 0xc23ff54d, 0xdaf593dc, 0xaf8f3078,
+    0xd94f8a37, 0xfb0c68ec, 0xbfbe79e8, 0x82a32f02, 0xf2fc9f59, 0x82e6e92f, 0x78a6988d, 0xeae98740,
+    0xb344b431, 0x730103b9, 0xbe6add03, 0x7acd4a24, 0xd57458f8, 0xae6645d7, 0x7ff4f8a4, 0x568d8bd1,
+    0x2ac42e00, 0x120b53fa, 0x9d5974f5, 0x2c39017b, 0x9f1e8c50, 0x347b658f, 0x979efba1, 0x707a66b6,
+    0xe6f72c63, 0xec23208f, 0xbb41fb3c, 0x9b2ef0d7, 0x2a024a4f, 0xe667e890, 0xc241025d, 0xc4a13243,
+    0xa7242ac1, 0xc5133cb0, 0xc4e50278, 0xe2e7af29, 0xeae52f77, 0xfa603a46, 0x8f5716fb, 0xb4d2435a,
+    0xb08e81f0, 0x6047dbb9, 0x28690b05, 0x14c0d242, 0xd8ee322f, 0x5b492e9d, 0xa2cf4495, 0x9c441637,
+    0xd6737b81, 0x48465f01, 0xa226c82b, 0x6c58f1c2, 0x39d9ddb5, 0x2bffd7b4, 0xcb5378eb, 0x256b4908,
+    0xa75ac1af, 0x7d4f172f, 0x79684202, 0xf0a5c9be, 0x791cde1c, 0x040f0bcc, 0xef3cd8ff, 0xbdc44f7d,
+    0xfc1bc484, 0xb1065efd, 0x63d66a65, 0x00941008, 0xa9aa7229, 0xa0646570, 0xe5f38590, 0xca367094,
+    0x32ae9f54, 0xae313649, 0xfc10436e, 0x11b00695, 0xcee4d537, 0xb4f03041, 0x17661bdd, 0x3d3e0dec,
+    0x59cc48cc, 0xc730514f, 0x79270d1f, 0x327fc4dd, 0xe5cc0d77, 0xe654e4bc, 0xf4ef4642, 0xcc29ad0c,
+    0x44f4b332, 0xd584f58f, 0x12ff303d, 0x90a2ca24, 0xb8c4bfcc, 0xb91a6c41, 0x08afb315, 0x01710629,
+    0x0e3aec42, 0xde7a2859, 0xc5c128b9, 0x351c66f8, 0xbcf4c773, 0x4fc2990e, 0x69734aa7, 0xfaab6322,
+    0x063980b3, 0x47bcbb07, 0x2f910a57, 0x203a48d4, 0x79fa0e87, 0xc2c90512, 0xc559c8b2, 0x16efb5e9,
+    0x60385afb, 0xf1a68957, 0x0263e8a1, 0x1e4986cc, 0xb7a95e62, 0x27b5f0e7, 0xbee01e49, 0x215ba032,
+    0xa51a78e4, 0x9c1226a7, 0xc3d2cdcb, 0x41a6f8f6, 0xf8affe91, 0xffa04a2e, 0x02ab7cfe, 0x5adb6b67,
+    0x3b23a1df, 0xa48a0c63, 0xf4e97d1b, 0x29fbebeb, 0xe13aa4a3, 0x3460b07a, 0xad6ede0f, 0x9ebbabaf,
+    0xb988718f, 0xb960bf66, 0xb508282c, 0xdf5919a7, 0x43a954b1, 0x96d70c08, 0x062d7d2b, 0xca236e5f,
+    0x069565ed, 0xafdb7e57, 0x7c5b6326, 0xd374b09a, 0xce6a5a07, 0x5fcaa88b, 0x5e2d9e68, 0xef34accd,
+    0x20cf32c0, 0x25f92364, 0x66e01b50, 0x89a02bc6, 0x468b1f3e, 0x8fac7fd7, 0x14942e8d, 0x1106e6ee,
+    0x2367c7d4, 0x2eab8121, 0x3bde7ac9, 0xaad90fa4, 0x10a0ed5f, 0xec34f00f, 0x6d53b2e2, 0xed7610b8,
+    0x67ab758e, 0xdcdb3aa9, 0xdb66c158, 0xbe510744, 0x40833233, 0x13da50d2, 0xb2c774e0, 0x114f72e5,
+    0xb121da63, 0x7cd0a6df, 0x909a0da8, 0x17a1c497, 0x0552a7c2, 0x0508f2a5, 0xa17748fd, 0x49df6156,
+    0xc76509da, 0xfc359c18, 0x1ce5f6e7, 0xb6428fa9, 0x6771a71f, 0x0906a2f4, 0x83c32d71, 0xbb4ac83b,
+    0xab60e19f, 0x71f01784, 0xe9a0807b, 0x24f2ce29, 0xd9307da8, 0x985d8711, 0x970204db, 0x9d701a76,
+    0x417e64d2, 0x4b544e86, 0x65cd7029, 0x20684746, 0x2501e393, 0xa58bda51, 0x3434340a, 0xad87cd79,
+    0xbe6126c3, 0x0eef2aeb, 0x0ef0c736, 0x72b6826d, 0x3f06b5ac, 0x0f7f6300, 0xe03e0143, 0x80db9d7e,
+    0xb4d1b362, 0xd4cee43d, 0x02ae0b80, 0xd8f10055, 0x76bbc71b, 0x07603451, 0x2fa93bf4, 0x79397929,
+    0x956d0bcc, 0x785facae, 0xda49b5a8, 0x49396c54, 0xe5413dfc, 0xa67dc756, 0x09acfcb8, 0x7e4cefbf,
+    0x99782eec, 0xa0e4affa, 0x3c3590d7, 0xbf469d53, 0x143626cb, 0x72dd4619, 0xa0f0b01b, 0xf79dd153,
+    0xa845bc5d, 0xd3291bb9, 0x5817c492, 0xcd8cfd97, 0x1a6e53e1, 0x21189a0a, 0xfc08444d, 0xdd4977ff,
+    0x50e51fa1, 0xbd2c673e, 0x5c0715ce, 0x9641d825, 0x934c0ae9, 0x4484a1ef, 0x77211da3, 0xb7d9716e,
+    0x313293b4, 0xfbdc1729, 0xa25dc207, 0x0c4ce637, 0x38ecfbe8, 0xd5e2e9f9, 0x09cc4f00, 0x314c8f5c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000005733746539975178779027052238\
+                         25521735199141247292070280934397209846730719022121202017504638277531421638656 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf,
+    0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b3, 0xa0cca1fb, 0xd3baa3e7, 0x47c497d4,
+    0x00000000,
+    0xabb0dfe6, 0x62215ba7, 0x16402ab9, 0x6c9ddd9b, 0xf952af29, 0xaf38183e, 0x68341323, 0x3900f5ee,
+    0x0dc30a6f, 0xad6456a5, 0x8c7d1e34, 0xebeaad86, 0x0e7f6017, 0xb33b449e, 0x60176301, 0x11bab5ca,
+    0x008a3e6e, 0xd9d823ab, 0xc566857b, 0x8fbc337d, 0x61e74201, 0x03744019, 0x10fea124, 0x93510ef6,
+    0x57f71d27, 0xb7efb22d, 0x293b6d89, 0xcd5c1e97, 0x4d5e7cb8, 0xd8c899be, 0xcb69b529, 0x42170f78,
+    0xa01d6f56, 0x7b6f3681, 0x551d2f83, 0x11674bbf, 0xcc8fa3bb, 0x3715fa01, 0x37faa45d, 0xa3ca830d,
+    0xf652156f, 0xba8b3041, 0xd2d35681, 0x06ef42e6, 0x961306a2, 0xca4fdf98, 0x929320a9, 0xa2cab20d,
+    0xf032682d, 0x0df00a2f, 0x913f739c, 0x1d9bb724, 0xc731f523, 0x4937b7ab, 0x08d2889d, 0x9ef01baa,
+    0xb29b653d, 0x43d0bd07, 0x56ea1c30, 0xddfcd888, 0x247a54a8, 0xbaeee097, 0xae91255b, 0x25b88294,
+    0xf1ceb210, 0x8dc0cfad, 0x19d170cd, 0x8b0cbd96, 0xcc630fa5, 0x437ed3d8, 0x72c63654, 0xaa9f1013,
+    0xfcaafdf9, 0xdb4a97eb, 0xd291f212, 0x767c7d3c, 0x842518cb, 0xf78300e6, 0x1b1a8c87, 0x97297b12,
+    0x917eda2e, 0x49b88282, 0xad49383a, 0xf8b61ca7, 0xd600a316, 0xac5e27af, 0x51696c31, 0xe778fdcb,
+    0x96a554d0, 0xdc7502c1, 0x27da841c, 0x7205c6bb, 0x3eb07109, 0x043f0607, 0x55e75261, 0xcbe9163e,
+    0x734d4cc5, 0x16b2df1a, 0xfbae5077, 0x228af7bb, 0x6b1c6eb8, 0x2d937f6c, 0xc076ff25, 0x909368c5,
+    0xd0afa33f, 0x5062c08c, 0xd6c85684, 0x46585f9a, 0x35a00d0a, 0xa06963cd, 0xca1e9ed1, 0xb2669deb,
+    0x06f75e96, 0x25560895, 0xdd546ec5, 0xa25530ae, 0xdc37cb89, 0x42683fd7, 0x90134ccc, 0xc68f4818,
+    0xd768c14f, 0xe83a51e3, 0x44c06cbe, 0xa1d0477c, 0xfe08d4c3, 0x155319e3, 0xa35d3424, 0x702bba7c,
+    0x63be4563, 0x146f80b3, 0x55f34df8, 0xf868f55b, 0x3e954210, 0x274ef41b, 0x59b304d1, 0x498dff6a,
+    0xc4ebb78e, 0xe772c870, 0xdf5f48bf, 0x4cf63787, 0xf36107d5, 0x4fcf7b09, 0x8425e389, 0x5a6c6342,
+    0x5bac79f4, 0x64135dc2, 0x50334822, 0x377d5918, 0xeddaa77e, 0x1722018a, 0xc81f594b, 0x47644b1a,
+    0x56b92540, 0x729be782, 0x956e5e6d, 0x2b9e76cf, 0xb266cc9a, 0x86803971, 0x9dd2779b, 0x2dfe07dc,
+    0x57055c25, 0x15c21c73, 0xfdba6b7e, 0xd919c7f5, 0x30ea7510, 0xb3a1b8c6, 0x88629b90, 0x54785410,
+    0x29aab83b, 0x80dcfc83, 0xaa2b30d4, 0x2a91d286, 0x1e442c23, 0xdba86031, 0xeec37b15, 0x73b9dbe8,
+    0x15ae6b21, 0x7503e347, 0x4495d22c, 0x911d886a, 0x1cfec8e3, 0x008afb79, 0x18c7cd25, 0x93b3ae0d,
+    0xccb345c5, 0x371f6cf3, 0x585ebf8d, 0xef88b911, 0x1d6a46b8, 0x25c4a44d, 0xec790234, 0x6c2a0261,
+    0xd9d9e18a, 0xa2a34c02, 0x2e536237, 0x6c899383, 0x2072d95f, 0x4451e0b0, 0xb8705b3c, 0xf44161a7,
+    0x45ba392a, 0xde10220b, 0x532b1c33, 0x181daccc, 0x67df4bbf, 0x010c2911, 0xae505b89, 0xc27bcdb3,
+    0x24fc024b, 0xe3755970, 0x55ac41cd, 0x8a7a07cf, 0x536b57f1, 0x361c4f9a, 0xc59dd0ca, 0x10457338,
+    0x93f73ef7, 0x6f61aee3, 0x15236848, 0x253af97c, 0xffdea773, 0x9186013b, 0x296ad96a, 0xfe0f3aae,
+    0x9cbf864a, 0x86ade7a1, 0x7b2c2ff1, 0x1980dca1, 0xff34c0f2, 0x55c81532, 0x54a160c4, 0xb8c58529,
+    0x46f89140, 0xaf347a89, 0x383e697b, 0xbfb1152a, 0xd1155886, 0xc882d35e, 0x270fd925, 0x2662e4ad,
+    0x232a8850, 0xa52a8738, 0x98041139, 0x28c2a028, 0x4fd179ff, 0x8c4e1dd2, 0x245016ea, 0xc56779b7,
+    0x6172c940, 0x599330df, 0x6007953e, 0xec952840, 0x96127f59, 0xee9a425f, 0xb6c96672, 0x399ddff8,
+    0xb661bf96, 0xb76f4d03, 0x66ad82c8, 0x5a1597b5, 0xac3004c4, 0x9ece4794, 0xe0bcc3c8, 0x47bbdd67,
+    0x2861cc9a, 0x0f04676c, 0x6e4ca6b9, 0x34f14036, 0x17784de0, 0xf628cc8b, 0x40c7ae23, 0x0339b236,
+    0xc152f02b, 0x014a0254, 0x6828efd6, 0xaf52fe3b, 0x657ff1a0, 0x360b987a, 0x88bd6318, 0x743d9f2c,
+    0x86ac6e31, 0xa6e869d7, 0x27deb78f, 0x402b566b, 0x9bb58b1c, 0x4383b8d6, 0x9a9118e2, 0xf3800c77,
+    0x45879260, 0xbf9a4ebd, 0x9fe81161, 0x236845ec, 0x12be6701, 0xd8a0e550, 0xbc970410, 0x695da74b,
+    0xc28c3e72, 0x2880ff26, 0x3006cc60, 0xfb0b510f, 0xc2d4a814, 0xae5615c6, 0xb74b7749, 0xf0691fe6,
+    0xb010230e, 0x2fe84de4, 0x1f3fbb7b, 0xf291245c, 0x413fea54, 0xfa7810aa, 0xa3ba75f6, 0xc2246eb4,
+    0x17d2d2e5, 0x75975a6e, 0x0f5da5eb, 0xea8b27a8, 0x575b4545, 0x418a257d, 0xdeb8d50e, 0x36595e0d,
+    0x70ccf71c, 0xbd8c520c, 0x0d24add8, 0x0f058b7e, 0x2c8ec314, 0x03d830e2, 0x3ca86a10, 0x9716767e,
+    0xfac914a8, 0x8abee61b, 0x2003c675, 0x130086af, 0x8ec32205, 0xcb3ac1e7, 0xbf4b828a, 0x934c223c,
+    0xdb375cf5, 0xd4ca1cc5, 0x61284a17, 0xf26292ca, 0xbea69a09, 0x1171fd52, 0xb68937f0, 0x1fbc1269,
+    0xd849d3c3, 0x82ff3a9a, 0x793ed7d2, 0xd29f9855, 0x6155d85c, 0xb4be042b, 0x51f4031a, 0xc7f5db01,
+    0x59c6fb2a, 0x14050805, 0x863fd960, 0x0fa210be, 0x2506031c, 0x78da0fa6, 0x8e7be327, 0xe5471919,
+    0xf05eeb39, 0x1e7636af, 0x88e9fe95, 0x8bf34403, 0x3a2a9a15, 0x5d5674c3, 0x452ab826, 0xa4ebc361,
+    0x2ab8b0f9, 0xbb6b307b, 0x167dabe0, 0xf57d1aab, 0x4274315a, 0xf31859d5, 0xc9d0bf74, 0x9d0fa72e,
+    0x4c417814, 0x8b1f1da7, 0x1b850b8e, 0x40f0d86b, 0x476d1f00, 0xd753c1e3, 0xe711f4a9, 0xc4306581,
+    0xe529d34c, 0x175b616c, 0x8619813f, 0x8d32db56, 0x5b1037a6, 0x755a927e, 0x5271a231, 0x6a296652,
+    0xd0d2c893, 0x8306e2c1, 0xf38a21b9, 0x43d34415, 0x0e43cb71, 0x3d48ea3a, 0x78d0e5ac, 0x6701d475,
+    0x64cc5611, 0xf5b40906, 0xe4ee4e52, 0x996adca7, 0x6c9bb3be, 0xb58e930a, 0x8d98b2f3, 0xdcb62085,
+    0x6c44b525, 0x57983623, 0x66f700c0, 0xaf9555a1, 0xc73efbbe, 0xd4565d50, 0x88538ad8, 0x6e30acbe,
+    0x9e6c275a, 0x380fd645, 0xcd14cba5, 0x4c6b50d1, 0xa095db95, 0xacb69a64, 0xbfebb32f, 0x9d77ef5b,
+    0x2b3843ee, 0x835b39aa, 0x80b4ad01, 0xebcd58fc, 0x75b5dd60, 0xecce721a, 0xb33f516a, 0x43330136,
+    0x32ed56b1, 0x2650c2e0, 0x20d6de6e, 0xae1435f7, 0xae1154fa, 0x6ac8149b, 0x94bf0faa, 0x5bc84dc8,
+    0x06b15be3, 0xa9228028, 0x8e60f53d, 0xf608f401, 0xb94cd6ce, 0x309d0978, 0xa20eb09b, 0x2c5f0f2e,
+    0xcb28951f, 0x9cf0d7ef, 0xb98db0c7, 0x3cc9dd56, 0xc45f311a, 0x6d7c4a00, 0x337c1283, 0x54c887bb,
+    0x3dda8db9, 0x5f202cc4, 0x2abb738a, 0xfc25967f, 0xf8523382, 0x6622815a, 0xd59eb0bf, 0x64959506,
+    0xe1984981, 0x298f1cf3, 0xf6bf97ef, 0x6dc58e8a, 0x6c36512f, 0xe753dfa7, 0x40a40feb, 0xc6fb98c6,
+    0x867b297f, 0xfe8030c5, 0x297655bd, 0x0a7a75d2, 0xe5f45af2, 0xfb63a5f8, 0x3b954d69, 0xc877d96b,
+    0x824c9259, 0x44bb6904, 0xf750ae3e, 0xb910c7cf, 0xe6c68e46, 0x58e7731b, 0xe527bde4, 0x9fa5cfbe,
+    0x4792c1b1, 0xd7a36a46, 0x7a1454d6, 0xd1adbacc, 0x318711c3, 0x28395dfc, 0xc8cb1418, 0xa9113cb1,
+    0x859121d4, 0xc34ce8cf, 0x32227611, 0xdc790982, 0x4e11955e, 0xd076cd90, 0xa4f15d19, 0x3490aba9,
+    0x7e2c42b1, 0x8b247b31, 0x79da63bd, 0xd9aecee8, 0x771b3b28, 0x0c2d672a, 0x83dc4ca1, 0xb426116a,
+    0xfd4a7a64, 0x65b7a795, 0xcb6d1d47, 0xd836621f, 0xc8949803, 0xad2e596e, 0x05f3fbac, 0xc219349d,
+    0x1e23b5f7, 0x56cde375, 0x5a81071e, 0x43ec5b6e, 0x036861fc, 0xb51404d4, 0xfa462220, 0xb625ca85,
+    0xd097b355, 0xd60bbf61, 0x9e49a412, 0x46087e02, 0xa942fafd, 0x38db5dda, 0x3bc38b13, 0x0d226390,
+    0x00d9ea82, 0xfc94f1e7, 0xd87a5f1c, 0xdbed1146, 0x99e6f5e8, 0x06356a51, 0xd666a328, 0xe55a73a1,
+    0x077c840a, 0x996508bb, 0xe5a97d4b, 0xbd57a85e, 0xdf4de75f, 0xa685fb7e, 0xe55574ac, 0xbbdd2b96,
+    0x5f5c0873, 0x5eed590d, 0xa95063d9, 0x6c132718, 0x89552492, 0xb1ade608, 0x38e54cdd, 0xe7150027,
+    0xe4f0fdec, 0x9aa6b784, 0x09d760b3, 0x86cbf3c7, 0x970fd432, 0xf5eb71b1, 0x8a0973d3, 0xf4f8550e,
+    0x13a1e510, 0xba348434, 0x09287c9f, 0x5d879ba4, 0xdd1a0957, 0x29e73038, 0x4ef0e56d, 0x5b5f7a69,
+    0xad1c2f3c, 0xedf7d6d1, 0xb272c54e, 0x4d364866, 0xf4f4cbd0, 0xcc9ddb89, 0x54186a03, 0x45af6465,
+    0x5321febb, 0x62f7f517, 0xc6359fa4, 0x68e663b2, 0x1a2e9f44, 0x512c5e68, 0x65d01c1c, 0x94812be7,
+    0x806e20ec, 0xc8fa92bf, 0x9e57f358, 0xcffce061, 0xb41c36d0, 0x8af54003, 0x33fba967, 0x6e6b3538,
+    0xdfad6967, 0x1b63baa8, 0x0c74daa9, 0xf5daa051, 0xfc5c2f78, 0xb3d4f006, 0x949c453c, 0x7351e4e1,
+    0xeb3c34b0, 0x521801fa, 0xe5af28e4, 0x4f33fada, 0x4957f0fc, 0xa140b4bc, 0x5fabb767, 0x062b9080,
+    0xf00e8e14, 0x81812e03, 0xfc21b073, 0x179e767d, 0x6390311a, 0x6fb93f13, 0x29a3d36a, 0x415953cf,
+    0x3215f361, 0x0fd6816f, 0x62a61f94, 0xce6945ec, 0x00c838e9, 0xd69c0c71, 0xb914c0d9, 0xc9104c8e,
+    0x36a94628, 0x71df072f, 0xe2b1ae49, 0x141e2bfb, 0x7702c833, 0x137413b5, 0xf052575c, 0x06331ec4,
+    0x71bcc917, 0x0024b19a, 0xc9742a47, 0xf269c21d, 0x091a2b4d, 0xb141165b, 0xe8baf5cf, 0x5b781928,
+    0x9e919aa5, 0xf081c3c3, 0x92b8916a, 0x7849658b, 0x1aa0b25c, 0x6ea2fab2, 0xb8bfdd82, 0x5b8a9f24,
+    0xe96b34e3, 0x82c5ef34, 0x6ac5678f, 0xa948b120, 0x6c508877, 0x786e3422, 0x056e9621, 0xf077905f,
+    0x3bde54d1, 0x1fce53b5, 0x79ff16ce, 0xe493ac5e, 0x88388198, 0xb268bbd2, 0xc470b15f, 0x7f6555a4,
+    0xb33896a6, 0x8867e23b, 0x5af6505f, 0xbfbcc15d, 0x0febb185, 0x1c7ccbf5, 0x751bd7b1, 0x2c714bec,
+    0xd2106aa2, 0x10914b7b, 0xc215c698, 0xbcbd89a7, 0x77d1a1f0, 0x0f914ab5, 0x24b2e205, 0xde1722cc,
+    0xcf9e7f84, 0x89fb415c, 0xfefa3cd7, 0xd6d3e056, 0xf14d58e9, 0x5ea4546e, 0x8b3a1ee4, 0x22e7c3f6,
+    0xb88c7170, 0xed238d29, 0x69e29a68, 0x10a348b1, 0xb98bad27, 0x2ac58506, 0xa364e653, 0x2dead8f6,
+    0x9a2f3f67, 0xa373ef04, 0xd06db203, 0xb76cecd4, 0x5e2755c5, 0x22991e86, 0x8434193c, 0x20be59c9,
+    0x50fa0e33, 0xd0ffb976, 0x042f96d5, 0x92467b57, 0x035345ca, 0xe58d5bb6, 0xc79ece85, 0xbfc431c7,
+    0x344fe4e8, 0xd5c6e445, 0xef6c5fbf, 0x1f4d1f77, 0xc382faea, 0x27193b39, 0x6cf36aa6, 0xeec2b2c1,
+    0xef097206, 0xc5ec27f3, 0x1c709211, 0xdb2d1229, 0x49a25ee0, 0xb4fce724, 0x0a5476f7, 0x6f5d9c63,
+    0x6a7f88b3, 0xda3468e9, 0x6c3b3d0c, 0xb0962c01, 0xcff9c7b3, 0xf7f0e09e, 0xf12f692d, 0xef8d2d27,
+    0xccdb1156, 0xe1771661, 0x505d32ab, 0x18e222f0, 0xab3c2fdf, 0xfe46a8ef, 0x87c33927, 0xafb9ce80,
+    0x6b3e6e8d, 0x47892e43, 0x8dc52dab, 0x20d17515, 0xf88e34d2, 0x1331a875, 0x47a59d04, 0xdd02e455,
+    0x3cb9d19c, 0x3e13d080, 0x19cccd21, 0xeccedaf9, 0x5f2132f9, 0x529b0fe2, 0xb05a9369, 0xfdedd61a,
+    0x4f4cdd24, 0x3c53972c, 0xa246a359, 0xbcf5277c, 0xe91f80f9, 0x0049b9d9, 0xdfc2cef9, 0x6b94c689,
+    0x9ff597e7, 0xcf8d21ed, 0xa97d7ff9, 0x0eee17a6, 0x3358e77b, 0xad370961, 0x20693383, 0x5f6eca33,
+    0x40f2e757, 0x69021b94, 0xda3363fe, 0x61493453, 0x51b2b1c2, 0xd866e1a0, 0x41d4ab89, 0x45ac5122,
+    0x7296c4a8, 0x01ed147e, 0xe5fcc5ad, 0x9d674fbf, 0xdb4eb48f, 0x36945d67, 0x21955775, 0x79e7891b,
+    0xa25eea01, 0x316fc5f3, 0xe4fa20c6, 0x375136eb, 0x56548905, 0x71ae8427, 0xd8c03871, 0xc00a070c,
+    0xc0ae7ba2, 0x09ffc02a, 0xdb45a7a0, 0x435bbfbb, 0x9828acb6, 0x16fe5047, 0x6b59a06c, 0xb39e1e35,
+    0x641d1a35, 0x2e4edd9b, 0x3c801cc2, 0xc5add91d, 0x0a83d599, 0xb6d2dc3f, 0xbdfc5c3b, 0xcba3d726,
+    0xb6074694, 0xa526addd, 0x3f306fb3, 0xddeaf3b3, 0x469703a2, 0x74df9a1a, 0x35f67701, 0x26f1007f,
+    0x14b8dcbd, 0xf1744fef, 0x09a51510, 0x2e8546fa, 0xcbbe8850, 0x98979d68, 0xdc39b90a, 0xc5b084f5,
+    0x6e84f2b8, 0xe32afae8, 0xac7d89b9, 0x2971a437, 0x42b29707, 0xa607fe1c, 0xd29eb48d, 0x73398b61,
+    0x87e695f5, 0xd1471c16, 0xe3325e4f, 0x9d1acfaf, 0x9b3f652e, 0x16ef9784, 0x5462cfea, 0x2ef8c814,
+    0x1f833aa7, 0xb0611bef, 0xa9dcb0fb, 0xf7b09dda, 0x7ba1db2f, 0x5e5109a9, 0xc9a9d7ad, 0x455a17e2,
+    0x7a59cee4, 0xfec04bcd, 0x278b6df0, 0x63ec0116, 0xfa08546c, 0x0b586ddb, 0x46bc2bc9, 0x691ab3f3,
+    0x8c1f6d37, 0x226b4a59, 0xf7f907b6, 0xfac5f934, 0xc3e0f0e9, 0x7f8a7d60, 0x5257df5e, 0x4ee67283,
+    0xfe1c0bc4, 0xe2789705, 0xd98a8685, 0xe05e1e8f, 0xe248def7, 0xf30e28df, 0x0ff9c140, 0xa29665ab,
+    0x94b39c21, 0x15aa857a, 0x83e60a04, 0x94c43b02, 0xb6d7c660, 0xb88c012b, 0x220e988d, 0xfcf8fbe5,
+    0x6d79147b, 0x2d59e3e6, 0x958adfe7, 0xa7ff9d21, 0x51cd4c94, 0x7cea5393, 0x9dd91eea, 0x73170de4,
+    0x47b94021, 0xba1b44fe, 0x05c8038b, 0x91775781, 0x3268cdd7, 0xf440319c, 0x85b3cbf9, 0x416d8ea5,
+    0xb5be8f84, 0x6f278598, 0xb3f3c9ee, 0xa7a5231d, 0xce3487c9, 0xe5f074dc, 0x3ddcae76, 0x24ef4e45,
+    0x0ec7f3e7, 0x0f6c7aa5, 0xd5ed42cc, 0x1305ff32, 0xfb5ae04e, 0x83ceed07, 0x2bd71063, 0x3d38f56c,
+    0x95d52888, 0x95c59303, 0xb90ff5cb, 0xbc4e3a43, 0x0e5bf598, 0x12cce6d6, 0xe1325c59, 0x4776ed87,
+    0x64a532a4, 0x9f71269b, 0x64644b58, 0x9df9bccc, 0x09083221, 0x80ff0004, 0x142b9ed5, 0xd89e3857,
+    0x7f2167a6, 0x4d8c155f, 0x64109682, 0x3b46cc34, 0x795bca76, 0x617dbd49, 0x480d674e, 0x3b0de316,
+    0x1fa3a8af, 0xef9c5161, 0xf0623a67, 0x415b95e2, 0x3723259f, 0x55a16309, 0xc3c40fe3, 0x064c0022,
+    0x7d9a821b, 0x70783ac6, 0xfb5c51ec, 0xebc250e4, 0xcd3cac44, 0x91a5fe8f, 0x65c8dade, 0x65f0f37b,
+    0x3bddbc4f, 0xb3528dd7, 0x26f94447, 0xb4a67f00, 0xc7431bb3, 0x4739c070, 0x270bcbc2, 0xa7e6f57f,
+    0xb6d0fc51, 0x929813e0, 0xb92987ae, 0xcf802f2d, 0xb60508bf, 0x43b37368, 0xf1f1b825, 0xff48d285,
+    0x72029f63, 0x6d68caac, 0xda3dbc47, 0x9150eecc, 0x02e2c3b4, 0xb4a3de55, 0x10a95572, 0x16af6d46,
+    0x07959a82, 0xa5e970be, 0x9543b122, 0xc642d8f7, 0xcde31d54, 0xe233030e, 0x16a4cb1a, 0x83ec60a5,
+    0x8774cc19, 0xdd83c20b, 0xf8d3fefd, 0x2693867e, 0xdecce243, 0x10cc0e8b, 0x64ff42f7, 0x7e129a60,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000002866873269987589389513526119\
+                         12760867599570623646035140467198604923365359511060601008752319138765710819328 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f,
+    0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7859, 0xd06650fd, 0xe9dd51f3, 0xa3e24be9,
+    0x00000000,
+    0xd1a63fa7, 0xaac8d4b7, 0xcc16248f, 0x1cdf93f6, 0xdd909f3d, 0x2c44c3cf, 0xe994c11e, 0x393e427c,
+    0x55c4fd81, 0xe66d74c8, 0x840e8b73, 0xd34dc5af, 0xab9809dd, 0x77f31252, 0xb7bae8a3, 0x9ced0a38,
+    0x3a23cbb1, 0x6f0d9173, 0x1c14dea8, 0x9f29314c, 0xd640d410, 0x1e00c1a2, 0x8c089e17, 0x218c68e6,
+    0x7f6f0192, 0x8a58f788, 0xc9b9ed8f, 0x4ff478a6, 0xff48caba, 0x9d086c8b, 0x32fde8e4, 0x68fdfc72,
+    0x4366f43a, 0xa4e39ed4, 0x8b2fe1b2, 0xa25e3865, 0x7df5c908, 0xa38de347, 0x935edd3d, 0x41713c97,
+    0x9ca13cf4, 0xce420294, 0x578b1a97, 0x02ffcbfa, 0x7fcaa7b1, 0xb70e02b9, 0xdef9ba3f, 0x7683b2c2,
+    0x3dd0fe41, 0x66058796, 0xca0d222a, 0x224953e1, 0x0943ac9c, 0xd9510d2a, 0x69766186, 0xa63d0e7d,
+    0x553f10e0, 0x52b25610, 0x2d0a7aa9, 0xcfc0596f, 0x2176aeea, 0xbe8bd88e, 0x3976be85, 0x1240e323,
+    0x5e4eca4f, 0x0cb49e54, 0xb63aaa09, 0x17546ca9, 0x42eb82c2, 0xa9dd6886, 0xcf7e64a9, 0xf9281b76,
+    0x10a2333f, 0x1c78dc12, 0xa0540b53, 0x6e617af1, 0x33d5bb65, 0x4298e886, 0xe37ebbae, 0x0f13690a,
+    0x6a603e00, 0x98001d79, 0x4db596cf, 0x18355a2f, 0xb4c8453f, 0x68e1537d, 0xb0f5c673, 0xfc4fef5d,
+    0x1659a737, 0xf9b9eec0, 0x5ab95729, 0x9be02d09, 0xe257f2d2, 0x9709ae2a, 0xd0f6f318, 0x880f7cd1,
+    0x15d6843e, 0x3f8e714f, 0xaeb315b2, 0xe12a5067, 0x12e535cd, 0x79c8c930, 0x8e81d6e7, 0x0aa61fe4,
+    0x8472e83c, 0x66a18f70, 0x70df03b4, 0x0cadaabc, 0x1812fa98, 0x399842f2, 0x09c10d84, 0xe08c8a40,
+    0xa0384265, 0xa998ede7, 0x491eed27, 0xf745000d, 0x08569567, 0x005e38c2, 0xe2982bb8, 0x5f8b6f70,
+    0x2f60d166, 0x4b4a558b, 0xdce13251, 0xbb38131f, 0x22437b46, 0x59e10244, 0x7d529276, 0x20605aab,
+    0x71444e81, 0x25531a80, 0x67c78b7d, 0xd4731d56, 0xa6903bea, 0xdb474ed0, 0xe50b4c63, 0xfe413a96,
+    0x480ae217, 0x8a99eea0, 0x22f16793, 0xac910435, 0xf2361144, 0x2dd31de3, 0x357b427b, 0xc64e683e,
+    0x14085473, 0x1759db50, 0x8c821ee3, 0x7895dbc4, 0xae25f31e, 0x54c5dff6, 0xd3365010, 0xc0f7b3be,
+    0x95f152b5, 0x09dd5bda, 0xfc252902, 0x623db4ff, 0xfedd1217, 0x2e807a51, 0x8fd22d01, 0x38bab44a,
+    0xa3534f7e, 0x0d114751, 0xcca9a63f, 0x58c79f64, 0x4300a09b, 0xdaa05197, 0x813943c2, 0x4d3f69fa,
+    0x97e8f383, 0xd7c7ac7a, 0x8ab29200, 0xa4d25e28, 0x4350dec9, 0x60c3f824, 0x030d55e3, 0x9f280435,
+    0xd4622e78, 0x0908207b, 0x0fb1d967, 0xc1bf87a8, 0x74a10586, 0xd6ba117a, 0x7ba5de73, 0x432a0cb2,
+    0xe31689d7, 0xc59d2cd3, 0x1f3b8482, 0xd992996f, 0x7808890f, 0xbdf9e540, 0xb55814c6, 0xbab987c7,
+    0x2d9b8f00, 0x9ca05452, 0x3e5d2875, 0x67e5ef2a, 0x98d3826e, 0x13967914, 0xa5fff8e5, 0x1a46c08b,
+    0xe5354956, 0x26e9e2ae, 0x687e1de2, 0xbefc4c47, 0x07a50d49, 0x301aefdf, 0xaa056bef, 0x3e5aaaff,
+    0xbe06ca55, 0x186cceef, 0xd20635f7, 0xbc334423, 0xf54034a5, 0xcfb38c4c, 0x6f0e683b, 0x3baacbb8,
+    0xfdd8a49d, 0x08db22df, 0x65ad6454, 0xa5653da2, 0x688f2e58, 0xd1e723e4, 0xe96aa93b, 0x436fa9e7,
+    0x16eee16e, 0x9ff65146, 0xae47972e, 0xffd08c09, 0xa416dc4c, 0xc8beac7f, 0xd1ec76cb, 0xd9b6b493,
+    0xb35338fe, 0x4a4fd008, 0x401f26f4, 0x3620ee54, 0xd893c79c, 0xc54598db, 0x7a5980a6, 0x1ac4b9d8,
+    0x56052603, 0x540b39ce, 0x616cdad1, 0xfec54b43, 0x83fa393e, 0x509aea80, 0x0c7fc1e5, 0x3a25c9af,
+    0x627cab68, 0x7a6a8951, 0x401a321d, 0x962a2772, 0x8de4bb39, 0xe84874ef, 0x7a6310af, 0x2aa2ac14,
+    0x8b47ab14, 0x96e7f116, 0xbae3d0c7, 0x19b5bdf3, 0xe55b5652, 0x79b6604e, 0x7a14dbfd, 0xd6ccad33,
+    0xc9aad84b, 0xa389ce23, 0xe4f652ad, 0x28d8bd4f, 0x4785164d, 0x4d31b3b6, 0x3b328c5f, 0x62de60f9,
+    0x7f41bf68, 0x486fd85b, 0x48b89617, 0x15f358ac, 0x1f22ca06, 0xdfbe6800, 0xfeb5d424, 0xe52ffb88,
+    0xa1a87079, 0x3143a61e, 0x114f20fc, 0xab464eb2, 0x20655068, 0xb8e22aab, 0xc4ffdf55, 0xb98e4702,
+    0xb8e23f3a, 0x05f38054, 0x09c4449e, 0x021290db, 0xb5b8905e, 0x79300421, 0xbcbbc9d4, 0x05dde1f0,
+    0x1986543c, 0xe0d74682, 0x8de846de, 0xf0391531, 0x062f05e5, 0x3e0fecab, 0x9d1f4bd3, 0x22c6dd30,
+    0x754477c5, 0xb2dab840, 0xb4099715, 0x236d0da5, 0x817a716f, 0xb0f4e166, 0x0224da39, 0xfc042ba6,
+    0x13b708ad, 0xd62582d6, 0x259e0786, 0xf0dad8d3, 0x34410f50, 0xe7705607, 0x4ff35c87, 0xef0533a9,
+    0x4d5b56c1, 0xe60a38c1, 0x79037afd, 0x3319247b, 0xd75aa4bd, 0x0b69494b, 0xc262a9f7, 0x4e28c410,
+    0xc2ebdc16, 0x9e2ee7d8, 0x10ce1d23, 0x2913debc, 0x9ca039cc, 0xca6bf952, 0x2b15bea2, 0xb20c77e7,
+    0x63ca6a75, 0x54e53b33, 0x4dab412f, 0x22a52f38, 0x88c6bbd7, 0x74a27fdb, 0x35a69dd7, 0x031bcffd,
+    0xb6daac62, 0xd9917ce2, 0xb5558674, 0x54b8a22b, 0xb4b5407c, 0x18ebdc33, 0x8ff61a24, 0x155919cf,
+    0x7a7ed921, 0x70acaa7e, 0x24566875, 0xf2715c28, 0x3ead7051, 0x8cc27e9a, 0x53138994, 0x18426f86,
+    0xb2497b46, 0xad3d5147, 0xbef24c6b, 0x70c7189a, 0x6c8b8b7c, 0xc701d03d, 0xc0062b70, 0xe503124b,
+    0x4a8ff4ef, 0xe186315f, 0x185f3627, 0x3cdd3a5b, 0xb817654f, 0xbb2e959a, 0xb2666a3f, 0x900a9d32,
+    0xd3eef8df, 0xd4f0a57d, 0xe6eb01d4, 0x712a0f0c, 0x07e8d47d, 0xdd8a1980, 0xad831dc4, 0xe38bde7b,
+    0x223f264b, 0xd55fb9bb, 0x5def9f2d, 0x050d88b6, 0x24c1483c, 0xe0424332, 0x2e144f8d, 0xe4ee5642,
+    0x237e4c02, 0xb444322e, 0x0f6a314f, 0x9202223e, 0x33dfac23, 0x5284304f, 0x8dccaf70, 0xf286742a,
+    0x973b216f, 0xb80f4735, 0x8cc0e497, 0xf400c91e, 0x6f1a5b95, 0x106bfc7d, 0x43dc4857, 0x6c0dba80,
+    0xa605b206, 0xcf1a58ce, 0x454354dd, 0x04a09c88, 0x6a930fdb, 0xc173edba, 0x43908d97, 0xc364f840,
+    0x392cf993, 0x25796609, 0x2e939333, 0x53e50eda, 0x0bde9e4e, 0xb0e7aea9, 0x58b713b9, 0x04952aa1,
+    0x971f0163, 0x2208a158, 0x8805e823, 0x347b09b9, 0x476fcfdb, 0xba964b3e, 0x06c02366, 0x00bbf5ad,
+    0x7aaabd7b, 0x375ce4af, 0x793f80ea, 0x463c94eb, 0x6d0801fc, 0x203a2cf7, 0x71ca69d8, 0x6aac7f6e,
+    0x1525b0eb, 0xbca78733, 0x952505f7, 0xe76a634e, 0xb3127ae2, 0x39baf0d2, 0x27cf38f7, 0x199619ac,
+    0xb7fc9d10, 0xa4591143, 0xe9572b3e, 0x79d09a9e, 0x14cc077e, 0x9a7cb0d8, 0x4e2e8358, 0x333d020a,
+    0x0260c764, 0xa32d3f2c, 0x13b02077, 0x9937f7c0, 0x5cc47c85, 0x45ec437f, 0x9c344a5a, 0x6a557205,
+    0x80bd7ddd, 0xbe160900, 0xe756144e, 0x8a901044, 0xa6313aa8, 0x3ce2019f, 0x1af56c11, 0x172ed89d,
+    0x22294357, 0x8550e165, 0x2f210183, 0xa38a704b, 0x68a25c09, 0x34f1d6b1, 0xb766ece8, 0x3889687a,
+    0xc567a8bb, 0x17fa3abd, 0x2a6f58aa, 0x56579d8e, 0x310a7957, 0xd1709903, 0x8e1aa49d, 0x765c00f9,
+    0x751a1fc2, 0x8aacf433, 0x66dff07f, 0x69180c76, 0x1f464ce7, 0xd32f3280, 0x902ec8dc, 0x21fc0f8a,
+    0x4db3eab3, 0xdf3fd5bf, 0x613ffb9d, 0x34cef4d6, 0x1ede773b, 0x4b783a07, 0xd3ff45ba, 0x61939113,
+    0xa90da3fc, 0x9338847f, 0x7740edbd, 0xa968e9d3, 0x77487dd7, 0xba7b5f5c, 0x60f8cf4a, 0x92ca5cf7,
+    0x15b49b07, 0x40fd3ed4, 0x3becbe26, 0xab540cb0, 0x9a4cb165, 0xa3df3be6, 0x1a6e8f00, 0x7b9e964b,
+    0xa8be94bf, 0xefdff655, 0xffcf7393, 0x957cfd6a, 0xee8be7f0, 0x11e0f477, 0x95924438, 0x7a3eecf7,
+    0xd59779db, 0x9d45c41b, 0x1123c8a9, 0x835c6965, 0x6fae7907, 0x3effefbb, 0xcda46908, 0xa9a6f007,
+    0x7394a53b, 0x176a3206, 0x9161fc17, 0x580e3f9c, 0x0ac65ab7, 0x2dd2ad32, 0xc51b58cc, 0x3bf9d2e0,
+    0xe3177e2a, 0x850cf15d, 0xbc84fbcc, 0x2c80c9b4, 0x05b7f994, 0x2287947f, 0x3b986671, 0x44059308,
+    0x497aa2c8, 0xadba5868, 0x4cf68e17, 0xcf0fcbf7, 0xe3183d6b, 0x12b67ec5, 0xb1f704cc, 0x8af00029,
+    0x8575885a, 0x783b4483, 0x8d0b042b, 0xe14fe938, 0x6d3a9c5a, 0x57330438, 0x97acf2d5, 0x90812b0d,
+    0x0b4927e6, 0xaf8c83c2, 0xd940a29d, 0x163190c5, 0xcf806bf6, 0x51c9e40a, 0x0612da52, 0xddbf02d7,
+    0xe8e25ad9, 0x67e03398, 0xf3d57aa5, 0xae9e1632, 0x95767f2f, 0xdf877143, 0xed506193, 0x3442e435,
+    0xc12f73c8, 0xb3b2a852, 0x4bb05fa1, 0x53c8c191, 0x5cad44c8, 0x01c32eb0, 0x8706f037, 0xf97ae2f3,
+    0xd1046c38, 0xb2eb8e3e, 0x5faac5a6, 0x15103d23, 0x4afdbd93, 0x47f13c91, 0x29ff4cb2, 0xf4361106,
+    0x38f4526c, 0x441b44d8, 0x27902bff, 0xb0f10036, 0x556fc738, 0x22cd9675, 0xf6e905d3, 0x624bc56b,
+    0x8f07c620, 0xbf80c683, 0x078dc5b4, 0xb9de6dad, 0x3c69af9a, 0x0b3ed5a5, 0xb24131f6, 0x3ce0eb46,
+    0xe6198f10, 0x5f397158, 0xc5f3062c, 0x048eb6e9, 0xfca0fd3d, 0x1fe1844b, 0xd4ca3fb2, 0xa2df6d64,
+    0xb5cf97f5, 0x9d7ff28c, 0xa504efd6, 0xb444a7e6, 0xc1dad406, 0x29ff9d02, 0xb63a37e5, 0xa61c201b,
+    0xa2188ac1, 0x38e4ab32, 0xb09b1f7d, 0xf5cea15c, 0x57657280, 0x7eeda82f, 0x48547293, 0x3caacb01,
+    0x0eb8b960, 0xbfa95a9e, 0x05c9e52f, 0xbd9afbb9, 0x1c588ff5, 0x37b1e50e, 0xdc04d96d, 0x0a0004cc,
+    0x432d1f6c, 0xd2ed0dce, 0x47e221d6, 0xdb4ee2b9, 0x2c2f091f, 0xdd2bf9aa, 0x74036edd, 0x98d47991,
+    0x3a0d9a13, 0xc8518482, 0x1d12f9e3, 0x2c141689, 0x1d9ea081, 0xed5fcf7b, 0x0b8e17b2, 0xe5ac545a,
+    0x92ecb984, 0xf542941c, 0x5404cba5, 0xcf5ab031, 0xe9406679, 0xcb46413c, 0x99cb8af2, 0x182b4152,
+    0x14907c25, 0xed14c962, 0x495b7b55, 0x14bdcf09, 0x04e34477, 0xa0b79ac9, 0x5420dae1, 0x1b929aa3,
+    0xe1cfe3f1, 0x81fef0fc, 0x42ce7103, 0x9c696868, 0x49cceabd, 0x41b8a2b7, 0x712dee78, 0x3b94f0db,
+    0x8e2d292d, 0x4a80e9d6, 0xe05ba289, 0x3f028619, 0x4ba002fb, 0xd17d1cda, 0xc3c19202, 0x687117e8,
+    0x1424447f, 0x389dfe22, 0x565b9de0, 0x2574f87c, 0x837ed801, 0x904f5d28, 0x69aaf69b, 0x509d507e,
+    0x77b89291, 0xeb4f506c, 0xf730ab7c, 0x2671cc5a, 0x09d68298, 0x8de66a0b, 0x812b2ce7, 0x3626e540,
+    0x2b4e1e24, 0x415faae6, 0x44686ab1, 0xc952c5cb, 0x012876f0, 0x8ab47d2e, 0x3e5e19ce, 0x19ce65b2,
+    0xa9df1928, 0x43ae48d4, 0x6fbbf095, 0x336f60d8, 0xa021d223, 0x727a263f, 0x11f1fa47, 0x79f796bb,
+    0x0b962be3, 0x8c5a2017, 0x2bbaae27, 0xcbeb4df3, 0x95cb8916, 0xe5901291, 0x1f54d767, 0x316b429b,
+    0x09337323, 0x596f7d5c, 0xa2cc3ad5, 0x5da65657, 0x3b30bc1d, 0xd51b4073, 0x4fa5d777, 0xf35dedc4,
+    0x133ea1cf, 0xbf6d768f, 0xcc9abfba, 0x5861808f, 0x61f867ef, 0xca2f77b9, 0x1b3810f0, 0xc4d15f71,
+    0x3d96e5fe, 0xf3ff01fd, 0x1bef8fc9, 0x74cf28d9, 0x68576844, 0xd0d661e5, 0xb937920b, 0x61253a55,
+    0x2c59bb1c, 0x15c9ccbb, 0xe519e49a, 0xa6a9f4b8, 0x2d7acd79, 0x7d8861d8, 0xcc2bf664, 0xfd39c4fe,
+    0x1f4d8688, 0xbc4643b0, 0x8ca1435c, 0xcc5ff4aa, 0x54987358, 0xd4d30310, 0x56dd0328, 0x47f14349,
+    0x79b17abb, 0x5ed532b5, 0x64e9c8db, 0x26569b21, 0xaad77c36, 0x7de23bce, 0x52c77c51, 0x13c85dcd,
+    0x27388ece, 0xf41f094a, 0x0bf187cf, 0xa86f8d4d, 0x8a0014d4, 0x0516a888, 0x95968064, 0xc9443b45,
+    0x65949a20, 0x62b5a6b5, 0x96471dab, 0x3fe61943, 0xe81196f9, 0x5e4ae5b5, 0xe5f16aa1, 0xc1ef144c,
+    0xbe5e84e9, 0xf770d5ca, 0xf0da69e5, 0xd9530802, 0xc01024bb, 0x89fc6f1f, 0xf4680d28, 0x3e3c3b14,
+    0xa6ef10ef, 0xbf7e245c, 0x9df6dad0, 0x2e135791, 0x312ba998, 0xc5263dd0, 0xe659b8ff, 0xe7446285,
+    0xc9fedc32, 0x4342c3c4, 0xe22f1fac, 0x32f3fdd4, 0xdaa91a2d, 0x5a07f911, 0x3536d851, 0xa070c577,
+    0xc531ab87, 0x7a51a81f, 0xcfb54d58, 0xfa8f1ec6, 0xe314dc77, 0xed935915, 0x02f2578b, 0x72b3aa1b,
+    0x8414d87f, 0x9d644817, 0x8f5e35ab, 0xbb62b562, 0x572797ea, 0xf5ccca9f, 0xec3f61d9, 0x2eac9c0e,
+    0xebf05d80, 0xb01600b9, 0xb7d8bb09, 0x8827f606, 0x79b03f31, 0xdc0133cb, 0xc3ffbfd6, 0x2d4d1591,
+    0x09b108ea, 0x943b4da6, 0xffb4018c, 0x3b6086be, 0x8e3a1275, 0xb8e074ce, 0x562877b8, 0x0d17c5fa,
+    0x75a63d75, 0xc8df5199, 0xc5e4112f, 0xcb42d701, 0x8a31f23f, 0x31f26843, 0xb0c76e86, 0x85ee850e,
+    0x6f742690, 0x12db9972, 0xe494f25f, 0x4b47ced6, 0x631e54ca, 0xee5791b6, 0x773823ce, 0x9f690d0c,
+    0x7108918d, 0xfc7df42c, 0xdee2946a, 0x102bb078, 0xeff88374, 0xff6b6031, 0xa112d73f, 0xc08b2371,
+    0x3a132f5d, 0x52f0cc0b, 0xc2811863, 0x971943c6, 0x499ffa8a, 0x9861b326, 0x36c1bffb, 0x3ce1e40f,
+    0x28aef102, 0xff856f73, 0x72d2fd18, 0x13f0a418, 0x959d3f21, 0xe7c59952, 0x92dd957b, 0x0d0de5b3,
+    0xc46172fa, 0xb0adfb92, 0x735fc8fe, 0x9ea9ca6b, 0xab7a4172, 0xaa89b8a2, 0x3aa9bf86, 0xf770bd94,
+    0x3e16de8c, 0xcaae6284, 0x2ccebf33, 0x6e4b0429, 0x175c41d9, 0x2cdb2f57, 0xe2a5e021, 0xf0f5e126,
+    0xc56cb2e0, 0x0fbfad21, 0x98080137, 0x8dc0930f, 0x0e9a6074, 0xb8fe9f1f, 0xf7d2fe0d, 0x2a035c59,
+    0xc1a61504, 0x1dc35077, 0x4b5b6638, 0xb3684b5d, 0x052cf866, 0x76b70149, 0x5a2bed1d, 0x6bdd68f8,
+    0xe39a724b, 0x3b7f9ce4, 0xf5432308, 0x3af638a1, 0xba597383, 0xc974c629, 0xd251df40, 0x0fef9613,
+    0x8d20f5d2, 0x0271a17b, 0x2f5c3380, 0x9ba87722, 0x9b6195ca, 0xfd30abf3, 0xe17d7942, 0x89070092,
+    0x78a4d4fa, 0xe2a0aa96, 0x06989365, 0x30e1568a, 0x15cadc96, 0x9f679790, 0xcb55fa39, 0xc203d94c,
+    0xbdbd230c, 0xbeb270b1, 0xb9cdb7e2, 0xd2b0c01c, 0x165feb92, 0x6e359c01, 0xe9cda418, 0x3363bf82,
+    0xa945c1ae, 0x20cfb4bb, 0xd1e5b2a0, 0x9ae77e9c, 0x066d5c7d, 0x82748ca3, 0x54542949, 0x0c9246a4,
+    0xc73b7825, 0x0e654794, 0xa3210ffb, 0x8a1af08b, 0x921c3302, 0x05fb3f0f, 0xe16036e7, 0xfb9090a7,
+    0x1a9759dd, 0xa8f12890, 0x2773c816, 0xe07cd9f7, 0xdaedf9cd, 0xe802824f, 0x4c331327, 0xd4bb97e3,
+    0x5bbe912f, 0x2441214f, 0x83fdc851, 0x30be6fb5, 0x21e9b6ec, 0xb3eb3a28, 0x199e4e0c, 0xdf829044,
+    0xc6c6c545, 0x1bc57ade, 0x7e0447ea, 0xc8438d52, 0xeb24a3ec, 0x98f4164d, 0x1fe51ac7, 0x92f41cbf,
+    0x65adbf3d, 0x0fe0cae2, 0xa1471e0f, 0x5cd441e0, 0xf33bf507, 0x084f1f37, 0xbcd03753, 0x4f3db04f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000001433436634993794694756763059\
+                         56380433799785311823017570233599302461682679755530300504376159569382855409664 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7,
+    0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2c, 0xe833287e, 0xf4eea8f9, 0xd1f125f4,
+    0x00000000,
+    0xa3d075da, 0x64b5b84d, 0x7321a161, 0x4189749e, 0x5fce946e, 0xff8f25ad, 0xe638a004, 0x78d0bab6,
+    0x341ad43e, 0x482206e8, 0x1cc09970, 0xf788a3dd, 0xe688f2da, 0xa13c9ce0, 0x801a60a1, 0x4552deac,
+    0x2602a972, 0x57c5d4a3, 0x6467b1a7, 0x2d496b4a, 0x93fdec21, 0xc6068666, 0x6f726612, 0x4d51481f,
+    0x9a3f9007, 0xf97dea81, 0x08840454, 0xba3d2b1c, 0x6c3b643a, 0x8da79386, 0x860fbbed, 0xf997f16d,
+    0xd3639cc8, 0xc5e92303, 0xda49efd9, 0x35a177a3, 0x4d518403, 0x84b1ddd2, 0xe97f979b, 0xb24868d4,
+    0xc50be44d, 0x6ae1d954, 0x173600a2, 0xa2a3aa30, 0x3fd1c037, 0x86e60fa0, 0x39197408, 0x44df3420,
+    0x2bb8b3aa, 0x368540fb, 0xfe133c13, 0x09dfe345, 0x662ed773, 0xa3f453c0, 0x73f3aa8c, 0xbf262456,
+    0xd90e65f5, 0x718d3555, 0x284106bf, 0x5154a01c, 0xccf7d849, 0x544919e7, 0x5aa04713, 0x54363a5c,
+    0xdfdde47c, 0x4cc85a5f, 0xd1397c59, 0xa448bebd, 0xc8e0fe83, 0xc2014664, 0x7658d5e3, 0x8431bb6c,
+    0x49602a39, 0x03dbf85c, 0x8c8b8c37, 0xc2ea7f6b, 0x256deab4, 0xa67ff003, 0x45fdffbd, 0x0669340c,
+    0x142159e2, 0x59ef9261, 0x8d0c4cc6, 0xe023e657, 0x7669ddae, 0xc2e42237, 0x83f0008a, 0x4499f905,
+    0x14d2ccb6, 0x30ae2bf8, 0xd1cfc526, 0x09cd36fd, 0xb8cedb50, 0x587099ff, 0xb75d96cb, 0x1a6bedc5,
+    0xc3500f75, 0x3cb54511, 0x7de026b5, 0x5b6c57e2, 0x69c1db8f, 0xe0d5b59a, 0x446a8a8c, 0x16b651ad,
+    0x12c1c495, 0x682bfabb, 0x47e11695, 0x79d7897e, 0x9682af4f, 0x437afd8d, 0x7565fbbd, 0x3936492b,
+    0xd4e6ffc8, 0xb004b1d3, 0x021363b3, 0x9f63edc4, 0xe785d7e2, 0xb4a62e46, 0x3bcce32f, 0x1e51b983,
+    0x7420a7d1, 0xaaf582b4, 0x7d9f3352, 0x502268b8, 0xf00bcdda, 0x43443fce, 0xeebde37f, 0x3cce183c,
+    0x3dbb6fb7, 0x7008c8b9, 0xab6e2b43, 0x256fd2ec, 0xc41f4fe8, 0x0d0a4602, 0xc2a15636, 0xe92d24a2,
+    0x2839a14d, 0xf76a09a4, 0xa1b769fb, 0xfcfbe922, 0x08689bb1, 0xd0e05e0e, 0xdfbe9402, 0x95c861d9,
+    0x6234d09a, 0x10e84a86, 0xea6654b3, 0xbcda2c10, 0xfcaaeb0b, 0xc32bc609, 0x8dad49e4, 0x9c743696,
+    0x228f583b, 0xb9afa0f8, 0xed0aa9a2, 0x21b0c058, 0x8b746041, 0xc4097ce0, 0x625202f0, 0x1d272db7,
+    0x2b9cb850, 0x9ce2dee7, 0x7267c1cc, 0x80e4f814, 0x8391e892, 0x7a4740a8, 0xb010cffb, 0xa5a2bc81,
+    0x5e2a4a93, 0x1ae2c2d3, 0x3eb9aae2, 0x7d111d21, 0x79941c87, 0xc878688e, 0x802c4960, 0x78c3a11e,
+    0x3ddcd973, 0xce8d823b, 0x1db8571f, 0xbffc32b0, 0x44ac2059, 0xebea3b19, 0x244b8dec, 0x857b97a4,
+    0x67600ee9, 0x1d0dd5c5, 0x1b0b754a, 0x1a628dd9, 0x672464cf, 0x8c411377, 0x915c8f9b, 0x1d57af37,
+    0x2149f890, 0x38bde7f1, 0xa1502e38, 0x93d9d5ad, 0x5757498a, 0x724454d7, 0x1b20eeb8, 0x2ac28c63,
+    0x5e5fa601, 0x7be418a6, 0x854094a2, 0xedbd2c03, 0xcc75b5ec, 0xaa4569a7, 0x2c2dbb70, 0xc33587f5,
+    0x1761d10b, 0x35d4dc88, 0x35b4f13e, 0xf2ce284f, 0x64170ccf, 0xdd904824, 0x65b4a570, 0xf69885bd,
+    0x8ac50ee8, 0x2a75e3bb, 0x091689d3, 0x33a27f71, 0x26964384, 0x01f82ab2, 0x38b5eee2, 0x3d901163,
+    0xc5e5ba2f, 0x662ab823, 0xc4e75433, 0x503382e9, 0xe1ef352c, 0x860c72d1, 0x6ecb30e4, 0x6be07d98,
+    0xc717a45c, 0xc4f699c6, 0x24906e64, 0x04f7d385, 0xeb272112, 0x75bbe51d, 0x62d01214, 0x2ecf1654,
+    0x3c844953, 0x71248e9f, 0xa2d891ff, 0xe172b3ed, 0x4ca3d583, 0xb8ded968, 0xf84aa9c1, 0xc36f0a08,
+    0xcc6b0a40, 0xfb11af12, 0x8cf244c8, 0x6cacf003, 0x6787dabd, 0x5e254fee, 0x786e1935, 0xa96e80fa,
+    0xf44097b0, 0x76a4988a, 0x17d36582, 0xe531685c, 0x4c346075, 0xa7ebcd87, 0x2689fa6a, 0xd55e313c,
+    0xf2b11975, 0x901b52bf, 0x9827b5ee, 0xc5a1a07d, 0x8b3f3cf4, 0xc574b2ad, 0x70dc68da, 0xe5f0289c,
+    0x8efc4f51, 0x225220f3, 0xae5ffd6f, 0xa1eb42fb, 0x4f8d790b, 0xae173189, 0x9b6e764c, 0xb1db2604,
+    0x2db8e3b0, 0x35161d16, 0xa1deb1a6, 0x6f8f299c, 0x1d37cb16, 0x596171eb, 0xbc3d170c, 0x7724435e,
+    0xa1d8763c, 0x71f58734, 0xa0d576fd, 0xd0acf85d, 0xabd0bd02, 0xb95a4803, 0x24c737e7, 0x0d182211,
+    0xa25bd544, 0xfff09acc, 0xf573daba, 0xee3238b8, 0xd6974684, 0xd2d0d11d, 0x7815fc27, 0x567f8202,
+    0xf4f96072, 0xe6a5ac51, 0xc3465b0f, 0xb00ffc2d, 0x8a7f3525, 0x81667438, 0x5c928805, 0x0f797177,
+    0x884e3ec8, 0xe5b9e1f4, 0x8c90caf9, 0x08603368, 0x4647a523, 0x37884a8f, 0xf6f492ff, 0x546bfd58,
+    0x67c83087, 0x1af41d6f, 0xd15eae18, 0x461f050a, 0x9af9cc84, 0xe130bdda, 0xd57b448e, 0xc50f7dd6,
+    0x971b1219, 0x3c5c6903, 0xaeaf8a20, 0xce42ef17, 0xbbe0ee1e, 0x18d8d245, 0xaba0b1c3, 0xb2466d4d,
+    0x4f4ee882, 0xa9ca4c04, 0x0684c8b0, 0xd256c2fa, 0x08fbe9a7, 0xc381c162, 0x7278622b, 0x908a95da,
+    0xa3d80beb, 0x70b84b26, 0x638bec62, 0x7f5afd53, 0x67e92c84, 0x148cd9ed, 0x8ad5ed6b, 0x87097866,
+    0xe362cf00, 0x80558c1b, 0x6a004aa0, 0x697b46e2, 0x729d3271, 0x930e527a, 0xdba58d7e, 0x9b4bf264,
+    0xb9d91856, 0x90851312, 0x641376fe, 0x96c02389, 0x057423bc, 0x38bac6c9, 0x397ff408, 0x15b9a8b9,
+    0x42894fee, 0x5d4c2662, 0x8ac0c8df, 0x2fde4975, 0x7b9195c3, 0xe95c28e4, 0xc9d49b35, 0x50a119f9,
+    0x3e2bf8db, 0xd31e896f, 0x4dd83b34, 0x4042251d, 0xfc9031ed, 0xb574aa66, 0x211ae4e7, 0xd6d9787e,
+    0xae0a0eee, 0x4c9e1222, 0x6762fc50, 0xa7877bc0, 0x875e0b82, 0x261dcb86, 0xb9748bc7, 0x028b4861,
+    0x1b82b893, 0x008f9091, 0x7efdbd9d, 0x146e6a01, 0xdd3041e9, 0x4cecbfb0, 0xd5b99360, 0x1d59dca5,
+    0x011a669b, 0x65a9332c, 0xb622bab9, 0x6f7da385, 0xd536747e, 0x11b1eee5, 0xa7a2cbe0, 0xcb9159a3,
+    0xe3ac83c8, 0xdf651808, 0x91f32e83, 0x3b7317d5, 0x8b30e04b, 0xb32e7ea9, 0x7b289af0, 0x77db8649,
+    0x0fb51fb4, 0x3e6adc75, 0x9455ef3a, 0xf58ba673, 0x50c073e2, 0xca5427fb, 0x48f975db, 0x0a4c19da,
+    0x86abbfc8, 0x30db596e, 0x9cf69911, 0x8082f7ad, 0xd7a5a86f, 0x06d7f562, 0xbd8654b1, 0x304d033b,
+    0xf99bbefd, 0x7cfc4d08, 0xbb8ebeeb, 0xfee46759, 0xdd78b997, 0x51831df7, 0xffabc3f1, 0x29361754,
+    0x128512b1, 0x94935e3e, 0x30f64d9f, 0x458bfad8, 0x8fd62e77, 0xa6114777, 0xe3570ba2, 0xd1c7c55b,
+    0x8f58fbf8, 0xc7513f73, 0xac956ad4, 0x128f5812, 0x4bd52930, 0x10bac9d9, 0x537a52c1, 0xfb387668,
+    0xb4137b96, 0xfc967fa9, 0x86eebe5c, 0x9d7d46fb, 0x02f3c7ff, 0x61dfcb19, 0xabd93ffd, 0xb092988c,
+    0x95ede5d4, 0x6003186d, 0x933b7e26, 0x3438b6a1, 0x64ea2fd6, 0xbc40d5aa, 0x87b732d4, 0x14a8bdbc,
+    0xfc4e0272, 0x98650dff, 0x9842406f, 0xc62c87f8, 0x82bc724f, 0xe59e9ac0, 0xf3a5dac5, 0x0d4efc04,
+    0xab58982c, 0x94e5d590, 0x1d2a8d9a, 0xe5aecdca, 0xc39d1670, 0x042cafbf, 0xc2c37e2d, 0xeabb773b,
+    0x68a42304, 0x1c509e01, 0x6f5a394f, 0x14c620fe, 0x5d32cb90, 0x8da9bb2e, 0x0e96d457, 0xc559f7e4,
+    0x9403be61, 0xf2528bf7, 0xc12a3e5d, 0xc4a4397c, 0xd9097c2f, 0x2d251191, 0x5f8133a7, 0xa1da04f0,
+    0x2d75da16, 0x2dfbda6f, 0x179f22d6, 0xdb718d41, 0xc534a641, 0x26aa41b1, 0xbd28d22e, 0xdb6ec86e,
+    0x2b6f8b90, 0x93fb3f96, 0xa3aef13d, 0xd3463b68, 0x3ed2bda7, 0xf272c895, 0x2cf3b94d, 0x63464208,
+    0xd742bfc6, 0xf5f58145, 0xc9eeb848, 0xe3d18bee, 0x2e92e074, 0xbc5871d8, 0x682e3846, 0x221025dc,
+    0xd090d2d8, 0xb98e5ffb, 0xd2e15271, 0x2103b152, 0x731f2686, 0x9c2eb943, 0x903c62a9, 0xd9d17ff5,
+    0x7aa09ab5, 0x95941268, 0x20c2e07e, 0x3cf17c03, 0x9a234650, 0x4ad9f888, 0x66974a2d, 0xf7adcba9,
+    0xeb6f9dbd, 0x29cf47d4, 0x53bb9f5e, 0xf01c6316, 0x525df501, 0xa73fb914, 0x2324afbd, 0x7a5aeb1d,
+    0xda4cf4d1, 0xbc516d0f, 0x84040a7b, 0x4777e0f8, 0x24977adf, 0x7297eb6f, 0x0836a20a, 0x892f9b48,
+    0x20bd854e, 0x7d917e83, 0x8fe6d31e, 0x3b0da12f, 0x16488751, 0x7f9a6561, 0x355f03f6, 0xedcbff62,
+    0x2864598c, 0x5370eb85, 0x149e8b85, 0x8b47f5fe, 0x2318f992, 0x388cefb8, 0x593d33e3, 0x2162430d,
+    0xa0883f9b, 0x21095568, 0x27f9a5f5, 0xf3cd355b, 0x12e83604, 0xfe5e9b9e, 0x03baf1fc, 0x3d1c7d43,
+    0x29c52c0e, 0xc3837468, 0x43a982a7, 0x0d1c3e82, 0x4dd2a3a1, 0x77cf7ad0, 0xd97d7f7a, 0xaf8fb004,
+    0xfd2ccde9, 0x3242c2d8, 0x2332c4b6, 0xbd2b4273, 0x3d559c8f, 0x45b1658e, 0x48a8ddc5, 0x7595e8d3,
+    0x12a288cb, 0xb638452b, 0xf6a01254, 0xdd44a0fa, 0xeb8c4874, 0x63188bf3, 0xf6dc1f07, 0x37b543cf,
+    0xc386ead9, 0x073ee653, 0x54423001, 0x5b1a8037, 0x40477990, 0xaebd1205, 0xb240e942, 0x790acef7,
+    0xd44da01b, 0xc344781c, 0x4495637c, 0x5ca23af4, 0x44a196c1, 0x5af23abc, 0xfa6c8a1c, 0x35b154c2,
+    0x93b32868, 0x49af5871, 0x91967140, 0xe058007d, 0xa538822a, 0x36d167d7, 0x2b20c610, 0x01efc3e3,
+    0x7722deed, 0x5f47eeba, 0x1f781e9e, 0xaf9b4116, 0x7f0af452, 0xa3c6bcdf, 0x9c48c34d, 0xdce4e780,
+    0x41fb2416, 0xee607c42, 0x39932f68, 0xc6d50664, 0x086f228b, 0x04079769, 0xafb59dae, 0xb6bea3e5,
+    0xc49f465a, 0x4ad4fffd, 0x3a23ed11, 0xb3289029, 0xd90dd630, 0x47b5e379, 0x6564fbca, 0xfab1e6ec,
+    0x19c1b6d7, 0xae6bc6e1, 0x2594a5f4, 0x23b6aa5a, 0x49ed7775, 0xcdf2553a, 0x49fae1de, 0xbd63930d,
+    0xf5ca7c74, 0xe5b21a71, 0x00414602, 0x8bfc4ae9, 0xba56d746, 0xb812f1a0, 0xd725c59f, 0x4912f275,
+    0x769bf522, 0xcdc4a4ab, 0x23e0f402, 0xca377c80, 0x1c37d191, 0x726228f4, 0x4772a270, 0x140a3bf0,
+    0x2682a1ca, 0x8206df9d, 0x715b9361, 0xe51acc61, 0x8c8395b6, 0x3246b9b8, 0x0ad2c02e, 0x9a2a6a10,
+    0x1e1f2a6f, 0x144da788, 0x2fa2d60b, 0x28174877, 0x6abd62e9, 0x158cd947, 0xfbd43024, 0x141664ff,
+    0xbc90abf8, 0xb47f3373, 0xc9f63c43, 0x3ce2ec2a, 0xfc73fb14, 0x78e97a29, 0xf33da01b, 0xab4ea2d8,
+    0xc9a741be, 0xddd396f5, 0x7792325e, 0x3b97967c, 0x54a0c0dd, 0x997ddec3, 0x80c84e7c, 0x675001fb,
+    0x5497f3c6, 0x705c2e33, 0xd67719aa, 0x8a9e4a32, 0x411df32d, 0x4a0926bc, 0x95724a4d, 0x2cb1df35,
+    0x11f10d19, 0xadf39ed0, 0xbabfc6a5, 0xf92bd4d0, 0xd658eb7e, 0x7d3e451a, 0xae6690f6, 0x692849c8,
+    0xea66a410, 0xbb445ed5, 0x6d58918d, 0xee2adbb0, 0x7f645cbd, 0x753d0f25, 0x033bcc52, 0xd88afeaf,
+    0x6c91d53a, 0x9b8a455b, 0x851db760, 0x89e08d4d, 0xd1722c55, 0x23db1c15, 0xbc44cc7e, 0xc8fa2668,
+    0x17d263e3, 0x104cb9ca, 0x141555bc, 0x0a0a206a, 0x13dd8940, 0xd0475865, 0x833fd7eb, 0x82b40d46,
+    0x4ad9d8a3, 0x6aaa70e7, 0x0e841cc3, 0x410eeb13, 0xd00cb07c, 0xef0a2ee6, 0xe284a895, 0x3981f1ef,
+    0xedfa85b7, 0x6810201f, 0x156ea0fd, 0xb68aa8ee, 0x53714515, 0x5946c5e3, 0x505074a4, 0xf142afec,
+    0x4419fb58, 0xdeb50351, 0x40f2bb43, 0xb24b8408, 0xa10d733f, 0x36b36692, 0x5532a162, 0xb1299301,
+    0x3f629b67, 0x50614150, 0x40c510ce, 0x9ce38022, 0xc8a4c722, 0xcd66a933, 0x18a66738, 0x013e70ab,
+    0x7c73a117, 0xe7ead47b, 0x78d28603, 0x7a3200de, 0xef630e25, 0x4b916f68, 0x81e556ec, 0x587056e0,
+    0xa97da1cd, 0x87b0884b, 0xaebd2673, 0x660fd2ac, 0x95ad0b59, 0xada00101, 0x8026cc23, 0x59b5f0ee,
+    0x48652312, 0xd2ed54ac, 0x52dcb2a3, 0x522ebaad, 0x7c630a39, 0x8a13f06e, 0x644d879e, 0xbf92486b,
+    0x55bda78e, 0xc58bc367, 0x97c576c3, 0x212ce315, 0x8b0d3c6a, 0xe329e859, 0x7b741ffc, 0xe1b27ce4,
+    0xb8365056, 0x886479be, 0x412102b2, 0x19fb6b80, 0x490d9087, 0xdc90d2ab, 0x3ce8f904, 0x2b228db0,
+    0xc6ffe8d1, 0xe8c112d2, 0xd91ff285, 0x40f41ee5, 0x7a7b4fc1, 0xac456b4b, 0xebf92b7a, 0x7b4be3e2,
+    0x03a0815f, 0x4f86aab6, 0x9ac85471, 0xee7f167d, 0x7ba68a8f, 0xe858595d, 0xf59e83d9, 0x8534c4fb,
+    0x2db46a0d, 0xc51a1069, 0x9febb0c2, 0x03b660f2, 0x75fdb54f, 0xdb3e14ce, 0x34110474, 0x61400326,
+    0x52858237, 0xece3f63b, 0x2c66f598, 0x104842ab, 0xe7d180be, 0xd9b41379, 0xd8daa19e, 0x977b3baa,
+    0x7ba60d7e, 0xa2cfe95a, 0xbed15e34, 0x6e8fdd2c, 0xb94698eb, 0x4ceb7f72, 0x0d6f8430, 0x22cd5db9,
+    0x17df1d5f, 0x444f7acc, 0x334e5b8c, 0x9c0f62ef, 0x7b931c26, 0x567ff716, 0xac8c8647, 0xc5eafb84,
+    0xf2b4c047, 0xf85d01e5, 0x5ce2a43b, 0x702a5aa3, 0x82a89381, 0x0f8a87f5, 0x84a0fd8f, 0x0b1fd6ad,
+    0xe449fba4, 0xebaa084b, 0xe4d37f42, 0x44b66f34, 0x4191634d, 0x4ac3e2b4, 0x2b312fc1, 0xec4c42e5,
+    0xbd655eb6, 0xb967e2bd, 0xc30e4fec, 0xc17d685f, 0xee72cadb, 0x830173ab, 0x1f51aeaf, 0x247c3e07,
+    0x83cd8aac, 0xc456c46d, 0x8b4601eb, 0x0ec239ae, 0xdf4bfb5e, 0x55fe2bd9, 0xd6e6dd94, 0xb0089a9e,
+    0xdbb14fd2, 0x0f2e9760, 0xfd97cb65, 0x99783caa, 0x29ff191a, 0xebc22935, 0x16b72893, 0x65701fd5,
+    0x7bf69076, 0x29493212, 0xca0ee1dd, 0x3eaffa32, 0x9deab07b, 0x2739fe84, 0x4f36eabe, 0xb7383586,
+    0xf593a28f, 0xc7018297, 0x9d3e291c, 0x02e330d4, 0x64c63b9a, 0xfddf9ccd, 0x6c531816, 0xb1006090,
+    0xb996e43a, 0xa3862c45, 0x9fbd5e10, 0x6398bab8, 0xa3b3055a, 0xf1c26d0a, 0xb1decfdb, 0x80c3b915,
+    0xe4e6408e, 0xc0cc9edb, 0xe23fc0d8, 0xbce73456, 0xf90bfbbb, 0x358b396a, 0x74f24390, 0x229d413a,
+    0x8653f4f7, 0xfc5801d1, 0x08bce3af, 0xfc0bd3a0, 0x8d57e955, 0x7283ab62, 0xe13b75ae, 0x8ade0d16,
+    0xf206a1b6, 0xa1f54646, 0xc320feb9, 0xeed092df, 0x6edc7e8e, 0x72bca66f, 0x67adc113, 0xb4aa470a,
+    0x0e6f1811, 0xebb6f9d4, 0xa965e1f8, 0x4bc4e9f8, 0x09cec89b, 0xd2c59b15, 0x76ef71e5, 0x8b5b77df,
+    0xc296ab94, 0xf0254b0b, 0x396060c7, 0x3b9db8d9, 0xb34b5a35, 0x7845bdd9, 0xe2cb5d33, 0xeed622d4,
+    0x281e3dce, 0x3fa19f1b, 0x5532c517, 0x5b3ee7ae, 0xdc914196, 0x5ba31f14, 0xf4c47986, 0x6ff4b996,
+    0xa8b8963a, 0xefe99a2f, 0xd4256e82, 0xe4e07868, 0xdd72feac, 0x8fc18132, 0xc0862776, 0xc0bd317c,
+    0x7b051e9b, 0x0aa51ab9, 0xb9942e9b, 0x970d1755, 0xc597dc3c, 0x6235f4ff, 0x05744c49, 0x06b703e7,
+    0xd53f24b3, 0x6a3afbf3, 0xa9268b0e, 0x037f6f56, 0xe206d465, 0xc7e98b5b, 0xda8fc033, 0x0f180913,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000716718317496897347378381529\
+                         78190216899892655911508785116799651230841339877765150252188079784691427704832 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb,
+    0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e16, 0x7419943f, 0x7a77547c, 0xe8f892f9,
+    0x00000000,
+    0xccc8b004, 0x5367cfe6, 0x5eae6744, 0x44e7906f, 0xf9b85995, 0x4a682463, 0x42785be5, 0x6f50e0b7,
+    0xdba853d2, 0x4b4b0c42, 0x50266816, 0x72392a50, 0x95257525, 0xd0e25623, 0x4dc3c059, 0xf4a4a1fa,
+    0x61176014, 0xd87be321, 0x2eee3142, 0x77fc2100, 0xeafc489f, 0x39a18075, 0x4952d4d8, 0xaaed402d,
+    0x6dbf22bf, 0xe8398528, 0xb77341bf, 0xcebd1e19, 0xd5c64568, 0xec0426c1, 0x00c27916, 0xcd9f8e89,
+    0x4d08b844, 0xc009b202, 0xd08dcd61, 0xc43555dc, 0x1fbe2244, 0xd43cea4d, 0x8e5692c8, 0x5ad291db,
+    0x11d253c6, 0x20262287, 0x5d1e4231, 0x63a23547, 0x69e93d32, 0x52ef6ed6, 0x954c6e03, 0x1abd03a7,
+    0xe199d4e5, 0x4b4ecb3c, 0x73296c0f, 0x7934aa05, 0x5efaeee8, 0x37350886, 0xf95d6e7f, 0xab9d9a7d,
+    0x96b51dd9, 0x67b08d52, 0x18f89e44, 0xc7f74eef, 0x02ff626d, 0x6d1aaa7e, 0xb0b71a64, 0x96212a65,
+    0x3e25c9f8, 0x567c8e6f, 0xced568cb, 0x9b16a73b, 0xf492f277, 0x2dba1085, 0x5ca676f1, 0xe0870079,
+    0x1b529289, 0x838db502, 0x6428f39c, 0x23085f7c, 0xeb0b6ead, 0x1203630a, 0x911e0f9e, 0x1af2727a,
+    0xf8a849db, 0x674729bc, 0xd54e4dc8, 0x674c6647, 0x2207a007, 0x6e414462, 0x63cddf41, 0x713b73d5,
+    0x9f96f88d, 0xfe06c9a4, 0x2944a0ad, 0x557c7e58, 0x5ea42423, 0x8232f889, 0x35c2b21c, 0x3007c93b,
+    0x0ca80ec6, 0x56bc4977, 0x7a2195d0, 0xc2c5e79f, 0x2549a57f, 0x72f67aa9, 0x547221da, 0x0bafd98b,
+    0xdbed05a5, 0x4401b878, 0x94a7bbf8, 0xa50c50e3, 0xa9db0262, 0x79d7b269, 0xfd562a98, 0x15b77427,
+    0xd8a1d3e8, 0xf7042407, 0x65d0f17a, 0x61bec595, 0x20b7a3aa, 0x45d30ef6, 0x6288e4e6, 0x314cdacd,
+    0xbbfdfcdb, 0xaff1770d, 0x2f89105c, 0x81f9a328, 0xfb58913f, 0x1560c269, 0x2b694b77, 0x8e92ad7e,
+    0x29bb972b, 0x2380b2ea, 0x31a8a447, 0x57666e5b, 0xa37ff581, 0x6345205b, 0xe246567f, 0x094a9c19,
+    0x27d58377, 0x023bbbe2, 0x3dd9edc3, 0x6344779a, 0xa15d62ee, 0x82cec17b, 0xebdb7b17, 0x7b3c7105,
+    0x278ad09b, 0x6a1338bc, 0x02c5eff1, 0xf2044fa9, 0x6a9e0817, 0x93633c3f, 0x949ffc0c, 0x99723c20,
+    0x5f43b62e, 0x7d2a2b26, 0x418a6a65, 0xf906c853, 0xc145bca9, 0x1da3f581, 0x2d458e13, 0x386e4355,
+    0x685f8d55, 0xbc7d2636, 0xe46f3494, 0x90719541, 0x8f623828, 0xe22f5a90, 0x912e4b34, 0x1ea3ba4d,
+    0x072d0d1d, 0x0bbf14f0, 0xece0a244, 0xc6c44258, 0x5562ce04, 0xc8d545cd, 0x272c8d50, 0x95e35886,
+    0x438f853f, 0x59a9a25a, 0x9f8c5bb4, 0x715ffa82, 0xf9855cac, 0x7d8b21dc, 0x274248af, 0xd11ab9a6,
+    0xe66594a6, 0x771b6988, 0xbeff6f2f, 0x4763f1e5, 0x1252d2a5, 0x5660ff93, 0xff52a1f1, 0xb403a6dc,
+    0x46f69e96, 0xae93ece3, 0x7b5bd9d8, 0xb6ca0b83, 0x8b3dd1a8, 0x4701fc6f, 0x82ddb4e2, 0x40abe146,
+    0xbd932971, 0xb676ee01, 0xbc1f527c, 0xb592d790, 0x769ccb97, 0xb8569c19, 0x65314da8, 0x39acb24f,
+    0xce10f2e1, 0x15db7a5f, 0xe82baee1, 0xacf74d83, 0x8ce61d91, 0x3e02b510, 0xe2874bad, 0xd501c381,
+    0x4bc56f01, 0xa05b9da8, 0x3778e5c9, 0xe7cd8da0, 0x11a75f74, 0xd4371e9e, 0x6015d717, 0x7bd25361,
+    0x8ecca5d8, 0xf61ce046, 0x1f9ca94a, 0x35c9ec99, 0xb2a3e794, 0xb78d8598, 0x2de955c7, 0xa6ad5379,
+    0x937f4b63, 0x83eb6910, 0x9483e21c, 0x381f478d, 0xe5fc97ca, 0x6fcc6609, 0xfad50690, 0xfad2addc,
+    0x5594ea30, 0xa206c7ae, 0x9c9530e3, 0xee299870, 0x8b6f48c0, 0x749c10b7, 0x09d4c3f7, 0x2ced22bc,
+    0x8b7d1e00, 0x0a39d0bc, 0xe90ebb0b, 0xebe0e3f5, 0x1e6abcfe, 0x38f40a2d, 0xe124c4a8, 0x2f49cd78,
+    0x46846d20, 0xececa0bf, 0x663c27fb, 0x0031ae53, 0xaf3f7b4c, 0xd1843d19, 0xcdbd98e9, 0x219feb5e,
+    0x467014b7, 0x986d7ea2, 0x7a1abd6b, 0xb6777e91, 0xa79eda9e, 0xb9d47be7, 0xe008169d, 0x938527d2,
+    0x0b7a14d8, 0x7dad2c19, 0xab2de04c, 0x63873125, 0x1c5600ce, 0xaa4c8cc6, 0xf030d8a6, 0x583dd783,
+    0x9ec2a53b, 0x4342b330, 0x20aa57e9, 0xab35c7ff, 0x4aee4beb, 0x7bade142, 0xc55604a4, 0x8a64dd07,
+    0x0c06323b, 0x9289b76f, 0x67bc2e9a, 0xc28ac9b9, 0x434fdf76, 0x1555236d, 0x5f49b4a3, 0x02a7a8f3,
+    0x490c9363, 0x58fef2e3, 0xc1bd676b, 0x8392554d, 0x8a54e516, 0x69e4cdd1, 0x9def1495, 0xfb7666cc,
+    0x5fcacfc2, 0xd3e579b0, 0x41d3426a, 0x3da554df, 0xc9fc4916, 0x80a6f815, 0x9124c402, 0x2f496302,
+    0xf8752370, 0x096994f6, 0xa2fda752, 0x4444805b, 0x9bd106d4, 0x1f61e395, 0xac665983, 0xf47c9523,
+    0x8177b1d1, 0xdd55658f, 0x4e56da11, 0xee9a44bf, 0xef97b979, 0x4ca6e498, 0x10122cdf, 0xa02f2f26,
+    0xa2d76378, 0x71a9e4c4, 0x5f07f57d, 0xa5d09cd1, 0xb695205d, 0x33326e68, 0x4e861869, 0x3c38c934,
+    0x9f168d91, 0xfb8a86f5, 0x9badba33, 0xfbba0539, 0x34fb5784, 0x6f190935, 0x68a97787, 0x3965957d,
+    0x8484e25b, 0xb3a803b2, 0xea29956f, 0x44768fc5, 0x8e3d6378, 0x789c3795, 0xe3768e55, 0xa006751a,
+    0xbce992de, 0x96abae85, 0xd5301ed0, 0x4994d8ee, 0x4dba602f, 0x460db13e, 0xea6e4a73, 0xcd6e0f71,
+    0x98ac2308, 0x615f3be4, 0x5c8deef3, 0x970d362b, 0xb31b6723, 0x51821169, 0x75be08a7, 0x672efdce,
+    0xf5de0b26, 0x7fc10f4d, 0x38029a85, 0x07883ef0, 0xaf08ff43, 0xe0169de5, 0x97909f6e, 0xaa49e768,
+    0xd0ebb6ab, 0xa90346bf, 0xdb451585, 0x466ca33d, 0x61e6beb0, 0x63b3cdd3, 0xe601d883, 0xaebe2364,
+    0x5aefdef7, 0xb4ed6b09, 0xbce9726d, 0x2ad55f89, 0xea454302, 0x95df9f29, 0xf90757e6, 0xc08fcd47,
+    0x41de5e24, 0x0be168d6, 0xfcf49176, 0x1e8762ce, 0x2f03f7de, 0x053d69fa, 0xb938e5ed, 0x0133fa31,
+    0xdc53298a, 0xdd3c9007, 0xb3d04127, 0x5dd1fb6e, 0x1fc83c77, 0x0883ffb9, 0x226e8557, 0x0cc167bf,
+    0x1ecb0555, 0x0c45c57d, 0x96ad3469, 0x546cae83, 0x85bf7d66, 0xa3533545, 0x731567d4, 0xabcff1eb,
+    0xb48219c8, 0x8e6937a3, 0xb3e93e95, 0x61cf8ccd, 0x33ffdb30, 0x02f877ba, 0x6928db42, 0xe7603108,
+    0xc10e4a66, 0xcd97959a, 0xe657f5eb, 0xe7fd87c9, 0x098c66eb, 0xb918bff0, 0x0693ef41, 0x75c6b0af,
+    0x00194632, 0x3700c7e0, 0x19da3886, 0x6b48e498, 0xc53db8b7, 0x8db4e61e, 0x3b79a511, 0xdd3686bd,
+    0x4e330a92, 0x572be038, 0x70d4d3ae, 0xa14cda59, 0x64d5c1c2, 0xaf973308, 0x99fde273, 0x0ee5f7e9,
+    0x25297880, 0xd5b5a474, 0xbc4eb0fe, 0x1caa60de, 0x1d36ed36, 0xcaad47d2, 0x0972ca25, 0xde84912e,
+    0x70e174d7, 0xc53c7ce5, 0xead4951b, 0x77cf2a3c, 0x02895ec5, 0x0dab77ba, 0xaae82b51, 0xae59f146,
+    0x98642935, 0xfafc06bb, 0xe0690a5b, 0xf63cb0ba, 0x6f41bb9c, 0x64b48db4, 0xa627b145, 0x51ca1713,
+    0xc3f09cba, 0x0dd8dc22, 0xf71c0ad3, 0x7a775b52, 0x66414610, 0x6e0e12d4, 0x7fa83c18, 0xa8b79c2d,
+    0xce0449ff, 0xff65b9f3, 0x340f89ee, 0x8d28ecf6, 0x3b00a05f, 0x63d7ec07, 0x86c48a98, 0x905ae638,
+    0x6d959c97, 0xf1dc124d, 0xef524833, 0xdd4124ba, 0xd8b7f659, 0x5a8b114b, 0x8e63c90d, 0xe1120e44,
+    0x744fb32b, 0x69472dbc, 0xe7078654, 0xf00c14fe, 0x17d767c9, 0xfc51c8dd, 0x4b5d4ac5, 0xd062dcc8,
+    0x962e1527, 0x50073a95, 0x1439bb45, 0xf972f90a, 0x2aca0ec3, 0x0a94954a, 0x8adbf611, 0x73f9bd15,
+    0x54102bc5, 0x6ac95bec, 0x9c637db7, 0x9aba3e05, 0x62e13f54, 0x641f888f, 0xa75f340a, 0x6fb8d36e,
+    0xc4064525, 0x0b80fa88, 0x47992b13, 0x0edb8ddd, 0x927d399b, 0x8830ab0e, 0xa168651e, 0xe71cfa3d,
+    0x3e6636a9, 0x05a4c24b, 0x09c00189, 0x915f36d9, 0xdb4864d1, 0xe5077278, 0x3e1acc12, 0xca943d15,
+    0x77d4392d, 0xe68619a1, 0xd8687402, 0x0035ecec, 0x842ecad0, 0x398cee6c, 0x31a0f55e, 0x4a512366,
+    0x38ce4e08, 0x337c471a, 0x21630e31, 0x1dfbee38, 0x1d7c26b6, 0x55cb273e, 0x90109529, 0x3b4eb703,
+    0x222bfe11, 0xed4bd565, 0xf025ad2a, 0x28d02827, 0xb241c85b, 0xe1fdbab5, 0x5927ec5e, 0x3d04bee0,
+    0xc3e545a5, 0x7d053b84, 0x97c06057, 0x5b353cb8, 0x840c7151, 0xb2edcb58, 0x4a3c1d0e, 0x2dd27e34,
+    0xb689b40c, 0x080b9ac6, 0x0510f8ca, 0xc40b2b7e, 0x0b9a67d5, 0x8d6c9fa2, 0x39172b1b, 0x40bce228,
+    0x17f1e9c4, 0x9f4b7c8a, 0x03a1fd97, 0x7007750d, 0x139deff1, 0x102a3207, 0x0e6eba77, 0x22cb5115,
+    0xb2488604, 0xd99682ea, 0x99ad4dfa, 0x74f97e3d, 0x2f037f73, 0x0fcbd0ab, 0x57104de5, 0x6667a0f1,
+    0x010f0f51, 0xe25142b5, 0x4ef32db7, 0x10546fc9, 0x1e6c1620, 0xbaaeed93, 0xb7b095e4, 0x2771885e,
+    0x4a944c5a, 0xe14da8a4, 0x4f1c91cb, 0x80aadc8e, 0x54446cdf, 0x91bf1e73, 0x4b04c5cd, 0xb4b4d43a,
+    0xdaf2647c, 0xdbf4dcc8, 0xd9c63979, 0x04982574, 0xd69cefcf, 0xa0d9dc32, 0x0e878e71, 0x9d1225d2,
+    0x1ba9d16d, 0x7a1e206b, 0x1610c592, 0x025849ce, 0x61595815, 0xd6fe9fe3, 0x5984176f, 0xbcf6833a,
+    0xf070e8f4, 0x104a8442, 0xe80c082f, 0x181cd547, 0x24678743, 0x8a329683, 0x57b2ed66, 0x4ec7d858,
+    0x73da3593, 0x4baa4182, 0x1f7799b8, 0xe21fa8f4, 0xf2e6ab68, 0x37d2f133, 0x05bb3aca, 0x69be7f3a,
+    0xfc04381e, 0x49a71fd9, 0xa77651a9, 0x42874ee3, 0x7057944b, 0xfd1c28e7, 0x8b0ae91a, 0x546471f0,
+    0x81529090, 0x2fce0d3d, 0x29915b2f, 0x99cbb782, 0x5c0965ae, 0x6c3f89ad, 0x8006d1fb, 0x0659ef0e,
+    0xf653a086, 0xc0a3cd05, 0x0fdc7262, 0x0d7464d9, 0xf557f2de, 0x54a141d5, 0xb41a33c2, 0xdbf0320c,
+    0x6aec2634, 0x57b57e2f, 0x5bb9bac9, 0xaa94a13a, 0x961cfdd1, 0x5f7d6f78, 0x12032a71, 0xfc05385d,
+    0xd4830271, 0xcf162fdc, 0x656bc5b2, 0x706d36b7, 0x942ff5f6, 0x3671e4b6, 0x3500f870, 0xbeb48990,
+    0x210f5bbf, 0xb9d96df3, 0x934acbe3, 0xec567e0c, 0x6410b275, 0xa688af8a, 0x023102d6, 0xe5e9666e,
+    0xcb569871, 0x2732d3e6, 0xa1078f06, 0xcb8eaace, 0x4bc65ca0, 0x554ad95b, 0x8a2cf757, 0x64cc0267,
+    0x651f7ffc, 0xcd076e2e, 0xd228e9e7, 0x11776039, 0x0cb607ec, 0xf49e62ec, 0xc3a75336, 0x9fe6311a,
+    0x5bbdd51f, 0xc5cb7869, 0x19144cdb, 0xf57de754, 0x60debe15, 0xf20e8ca0, 0x53601aa3, 0xac84d900,
+    0x7bd518b3, 0xe8b6c30f, 0x3bc7b180, 0x44a9638d, 0x4a4714c1, 0x41becece, 0xbf89c680, 0xe80557fe,
+    0x5f32c837, 0x5ffaabd1, 0x6f922f4a, 0x70f67876, 0x091ffe59, 0x47b5e5e8, 0xf1a8d433, 0x863103f5,
+    0xe1f88956, 0xbaa4ca64, 0xe65b2a68, 0x6ee82263, 0x4619bd64, 0x148f37cf, 0xee708cde, 0x70362f40,
+    0x3e312733, 0xe803ac80, 0x24162107, 0xb83ee57a, 0xdcdda011, 0x00f34235, 0xeef94fa5, 0xa54d9418,
+    0x9943450b, 0xcb7d6e9b, 0xc85c9f6e, 0xf13f20e6, 0x222fa43c, 0x0893b00a, 0xa2689287, 0x3f4ef782,
+    0x1b175527, 0x76da08bc, 0x96164967, 0x92489037, 0x9ea99185, 0x6b13f357, 0xda258e65, 0x97fc2023,
+    0x8a31b901, 0x3a7c038f, 0xb9981999, 0x5e92a2e3, 0x522d4aad, 0xb262b400, 0x5791b2ea, 0xa4661b61,
+    0x5599f250, 0x423c8eb2, 0x87a4d778, 0x6894ab5a, 0x7ddf43f4, 0xabfd93b7, 0x0d2af7cd, 0x1a53c15a,
+    0x6bc55ecc, 0xb78e3bcf, 0x13f832f9, 0x10854ded, 0x2eed8f62, 0x384c0c29, 0xb8e9a7cc, 0xf4a9b3b9,
+    0x5f5b642a, 0x89e6ab16, 0xb2fb02d4, 0xb6181ec3, 0x332c1071, 0xefe01322, 0xccef7f92, 0xc668e5f6,
+    0x2366919e, 0x2165b69b, 0x3fc5fd98, 0x58cc274c, 0x689b1586, 0x887bfc13, 0x0f16321d, 0x7ff3d461,
+    0xceb2832a, 0x49f3c5c5, 0x07778ea2, 0xd0ebfc34, 0x0178c27a, 0x9d960011, 0xe3d7ee3b, 0x47e90a5f,
+    0x8ea3c00b, 0xc826692c, 0xbf107096, 0x481a5139, 0x16006e89, 0x0f62c8b0, 0x93a2db38, 0x253d24b6,
+    0xc7e2163c, 0x0b28c1c8, 0x712f24de, 0xc3aa01db, 0xd112651e, 0x193faa7b, 0xd7be86f9, 0x1399f440,
+    0xf3e8feee, 0x9cdf0d4e, 0x0d7d71a3, 0x13537c99, 0x0a5b2ba3, 0xe10dd774, 0xee6f8a18, 0xfa45a611,
+    0x17030ee4, 0x5e70ec4c, 0xf2833689, 0x73b654fe, 0x56301c48, 0x3aa082c4, 0x90fc9aa8, 0xc0bb3006,
+    0xcecce5db, 0xbe47647d, 0x3ab4bb06, 0xea2a3ab0, 0x7f53c7d2, 0x67d4c1e0, 0x1330e58d, 0xedd2ea4b,
+    0xac64f68d, 0xf7431fd9, 0x9d5f0f51, 0x714cb0e2, 0x09b5cce6, 0x89d009e4, 0x2c8e465a, 0x12aeabb1,
+    0x0a3d1dec, 0xe7ffa686, 0x742b35d8, 0x78e72f81, 0xb9c79b52, 0x05295636, 0xbcc0f4e9, 0xa5db0c20,
+    0xd856c54b, 0xfe4c0d22, 0xc4090fcd, 0xb4f7723a, 0x6e0aeffd, 0xd26115ee, 0x0fd82124, 0xa84941b3,
+    0x33d9d5f4, 0x929bfb52, 0xf70e555a, 0x23196796, 0xb50e46cd, 0x5446982a, 0x8ddab716, 0xfed08e6f,
+    0x2dd213f9, 0x1ed6d888, 0xe941b390, 0x1fc893ea, 0xd0bc6428, 0x3ab80634, 0x1cbb200a, 0xc2d1ff41,
+    0x4b7c0cb6, 0xbb072935, 0xa0b0c1bc, 0xaf6efee7, 0x371f4617, 0x8d620b84, 0x335340f9, 0x1ae7f3f0,
+    0x5ef79eb1, 0xc62426d8, 0x3561c955, 0x6e1fa854, 0xaf09d483, 0xd305bd84, 0x0f1244dd, 0xb4e5ba7f,
+    0xca4f2e1f, 0x829779bb, 0x89fce2d3, 0x87a84397, 0x1d35393d, 0x2beb7d70, 0xd7ce6306, 0x8363408b,
+    0xe3ee1d05, 0xc07bb093, 0x13878c6d, 0x5e765074, 0xc224fc4a, 0x44cc9c7e, 0x42851f71, 0x2ac9f143,
+    0xfefb6d5d, 0x8aeb67be, 0xfc8d8020, 0x85221555, 0x2ecbdb9f, 0x8503f683, 0x80a15174, 0x115bcbdc,
+    0x86814616, 0x428cd5b2, 0x1917b330, 0xcc8e7280, 0x67919480, 0x16fe3faf, 0x4ddb70ee, 0xddc7f320,
+    0x37aec17d, 0x93270d3d, 0x6d810428, 0x368696f9, 0x7b0d44f7, 0xada91aac, 0x2da714af, 0xac405664,
+    0x2fc46995, 0x77ad1faf, 0xd34c21b4, 0x55345bbd, 0x66e061f7, 0x95f13d0c, 0x71cf141d, 0x241fc01a,
+    0xd054ceac, 0xf82776aa, 0x7510378d, 0xbff5bbf4, 0x5464da78, 0x3a93f786, 0x30b3aeb3, 0x686c2e77,
+    0x81e35579, 0xb66f1791, 0x141c8e2e, 0xd28604ad, 0x24b18904, 0x0d22f844, 0x35453e60, 0x196b009c,
+    0x0311be9c, 0xd41e403a, 0xb48697d2, 0xa1663d33, 0x6750ea3a, 0x348d9540, 0xbdd47011, 0xc894f7a4,
+    0x7f64010f, 0xb335ed6c, 0xfab59dd9, 0xc2edd840, 0x8fbfb2cb, 0x5f4b60ec, 0xa4ce0e97, 0x4ff35b90,
+    0xba162ec2, 0xeeb4b48c, 0xbdd1e1d7, 0x71a3a682, 0x8e76bdcd, 0xc2f2840a, 0xddcee20e, 0xd3ac5c4a,
+    0xed3f6578, 0x1c62180d, 0xbcd042d4, 0x6ac16645, 0x1f3a027f, 0xce230a73, 0x8e148101, 0x0fb2a33d,
+    0x15db42b6, 0x64816c6e, 0x93323a69, 0xda14645d, 0x3d435c99, 0x59ded04e, 0x9fef6841, 0x6843e08d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000358359158748448673689190764\
+                         89095108449946327955754392558399825615420669938882575126094039892345713852416 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed,
+    0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0b, 0x3a0cca1f, 0xbd3baa3e, 0x747c497c,
+    0x00000000,
+    0xa1e6faea, 0x029ce107, 0xacb1d787, 0xac4f0ae7, 0x1eb8f993, 0x6ae426b8, 0x8daddad6, 0x24638b6a,
+    0xf3e1214b, 0x24a105a6, 0xda6564bb, 0x10acb12b, 0x2d62d4be, 0xf8a24c7b, 0xe515b68c, 0x5c8e788a,
+    0x17834905, 0x67ecf29d, 0x71ec2fd7, 0x2d669207, 0xb3f4b960, 0x8ca43e91, 0xaa608ec7, 0x9aaa8750,
+    0xc1e23765, 0x5a2a7d82, 0x36a07f8f, 0xdb089df0, 0x29b94891, 0xfb247f6a, 0xbe8be70a, 0x57867687,
+    0xb03fe3fd, 0xdb4abbf1, 0xa60b3480, 0x662ef835, 0xd8c1c102, 0x509efd25, 0xf9ebdd84, 0x917a82ed,
+    0xba8b621d, 0x2a45adbe, 0xea10e873, 0x084b704a, 0x500a6b2e, 0xda5771f1, 0x9ac74712, 0x9bd21f19,
+    0xd3edd2ae, 0x71089900, 0x519c4d5f, 0x41c58e6b, 0x4720cf17, 0x76a185fd, 0x837ac416, 0x755f34e5,
+    0xd9194f81, 0x193222ce, 0x37d32b82, 0xd6c3742c, 0x55266bf5, 0x93298987, 0x8c92fa66, 0x7a818131,
+    0x4891fef8, 0xf22308ef, 0x054a988a, 0xb48eee2b, 0xaf3f5ffe, 0x4247f44e, 0xf9c3af0e, 0x2c611c9a,
+    0x25e2a078, 0xf4744c46, 0x1f46b9a9, 0xe502a598, 0xef7c9406, 0xf91f0570, 0x7ad9a3da, 0xc30bb41b,
+    0x35115e88, 0x01629062, 0x11d00363, 0x9eaccda5, 0xbc65f9c4, 0x6f471147, 0x98ac37ce, 0x94cb09cb,
+    0xad1929ae, 0x5db7d2c6, 0x96ab8d64, 0x53d2f16e, 0xbcfe5fb8, 0xd9bfe748, 0x30e58207, 0x53e12259,
+    0xc9446a0c, 0x09ea1f84, 0x85bf1468, 0x05dab478, 0xceeafab9, 0xe23f438f, 0x59926be5, 0x6373771c,
+    0x0cf6eb86, 0xfe0daa96, 0x734d3f5f, 0xbf3d3f5d, 0x7c1347ea, 0x058fc992, 0xcacef819, 0xb0dab6fa,
+    0xb08b8a70, 0xd68a95a4, 0xa6408e24, 0x8b523dc9, 0x7d717784, 0x51ae5195, 0x98208256, 0xa4c32237,
+    0x1b3e61d0, 0xcb003269, 0x7ca7ffa3, 0xb14819e7, 0xba2fd3dc, 0x496f99cf, 0x006faba8, 0xc94f954d,
+    0x6beaca29, 0xc0932fb4, 0x4dcb5f02, 0xe39c54c0, 0x4e12dbb3, 0xc32592e1, 0x0e33d11b, 0x99bb9f63,
+    0x7a85be9a, 0x03b328fa, 0x3c4a9674, 0x30619e69, 0xc2de1ddf, 0x53fa3dea, 0x655118b1, 0x03062de1,
+    0x6e81388a, 0x6aae2655, 0xfc2031a1, 0x5a1c6681, 0x971de99f, 0x710c2279, 0xb303ce40, 0x9314eb6b,
+    0xf1c4487c, 0xa5db7a0c, 0x27dc58f6, 0x1d2d5600, 0x733f85ce, 0xe12dbd18, 0xdd3daac3, 0xdf808597,
+    0x8296510e, 0x4ddc7486, 0x6a9b85d5, 0x2a8ddbe4, 0xe79b62a8, 0xc0a136c2, 0x3ba59da8, 0x3414eced,
+    0x3f4ab04b, 0x5a8d5f90, 0x428f7610, 0x06ec0e49, 0x1074b150, 0xa2c8c36e, 0x1373dd1c, 0xef75c420,
+    0x11bdbfdd, 0x3efe5279, 0xbf96bcca, 0x981bed0f, 0xc3d0fe5c, 0xd4b65309, 0xf313a4a5, 0xe60cc973,
+    0x708a3f71, 0x0c77eb56, 0xe3cc7977, 0x9a1b959d, 0x6af0e20f, 0x108477c9, 0xb49d2c5d, 0xf08d6d52,
+    0x1e136d50, 0x186e85fe, 0x5fb92155, 0x2e783d6e, 0x5fdc7425, 0x65735bce, 0x83a67116, 0x79022b24,
+    0x00467cfb, 0x3e8e0719, 0xf379b179, 0x1afaaf03, 0x95be9291, 0x6ea97c77, 0xb1ed594a, 0xc76916ff,
+    0x070ba3af, 0x064408a3, 0x3761772d, 0x87a1bc6b, 0x230459ba, 0x6e4be23a, 0x43efbe8b, 0xfb34c4d7,
+    0x2fa31588, 0x43000b21, 0x3d72ae9f, 0x47a83021, 0x54c68062, 0x5196ac6b, 0x47f9fe5b, 0xfd18df0a,
+    0x437930c3, 0x344a5d0f, 0x7c7fcd32, 0xbe3aca5e, 0x7a031c33, 0xbc3563b2, 0x5f5ffa20, 0x5f8dd210,
+    0xa3979e90, 0xcb2c8fed, 0x1f5e27c1, 0x276286ad, 0xb3243349, 0x1350552b, 0x92d4ba92, 0x51de2a87,
+    0x8f933869, 0x615fdca1, 0xaca30b4c, 0x36ee079a, 0xe920a3b3, 0x5c9312a1, 0x2173357e, 0xb8c08039,
+    0x88ee4307, 0x6fdcf736, 0xae6d6cd2, 0xa5f03ea0, 0xf33563f6, 0xef6929dd, 0x31cd805b, 0x30fad564,
+    0x641bb323, 0xc2a5d1d2, 0xcb9faf1e, 0xbebe65f3, 0x6bf433e4, 0xbe8ea853, 0x2146586b, 0x0491ab3c,
+    0x728c7295, 0xe259ea2e, 0x0e6e9e48, 0xf706a559, 0x5060d377, 0x60834805, 0xd4f56fce, 0xe148b817,
+    0x3de14bbb, 0xd5c86729, 0xa96279d9, 0x7f34ffd1, 0xdf13e5e2, 0x5edb94e8, 0x62d33475, 0xc170884e,
+    0x456d193a, 0xcce3fdfd, 0x7d866650, 0x8a89874d, 0x71ca557d, 0xb55bc270, 0x0ba27bf6, 0x9697ff50,
+    0x4df5b9d5, 0x68bbd73b, 0x0592d384, 0xae54fbcb, 0x1f3aef79, 0x5ffb294a, 0xd1fb91a9, 0xcca3424d,
+    0x611b6bb9, 0xad3a6248, 0x56de2017, 0x36bc4eb5, 0x2e33c0af, 0xe499ae71, 0x6a036efe, 0x57b92eca,
+    0xc8c55b2c, 0xe06b93be, 0xeb9bff07, 0xb2a02454, 0x8ee7bc91, 0x062b6ac8, 0xe89e881a, 0xd29d0405,
+    0xae61d3f4, 0x53b1c62b, 0x15c4a508, 0xb4ea5cd1, 0x623f91b3, 0x0b202033, 0x4127a869, 0xe231e354,
+    0x06576cc2, 0x2e665628, 0x8d3409a7, 0x6c655340, 0xdbcb9e17, 0x5c75b21c, 0xaba247ec, 0xc2b92967,
+    0xa7d7f352, 0xf2203f3b, 0xa9cb93de, 0x2de7eda8, 0x3257700b, 0x8d2082cf, 0x4bad59f4, 0x43bc44ad,
+    0x2b375993, 0x4c1181df, 0x58781834, 0x70568999, 0xd1906613, 0x6f4c01c1, 0xff065f1d, 0xddc5c1d2,
+    0xb8978783, 0x2f1990cc, 0xf9e65b15, 0x1bcca096, 0x886dd7f8, 0x3129cbdb, 0xb861beb9, 0x476f0cb9,
+    0xc82f2a6c, 0x419a9491, 0xfc27b907, 0xe45e609c, 0xf03db10a, 0xcc2eec18, 0x0e805673, 0x2425efc2,
+    0x58769203, 0xadb58f02, 0x1fcdf567, 0xbf49fc9a, 0x6ba1071a, 0x8f056773, 0x78945d0b, 0x44d79635,
+    0x0df98cc1, 0xe294007d, 0x30aab935, 0x4b910af8, 0x5e4be9a5, 0xd260b58e, 0xceb637c8, 0x0ec8725b,
+    0x54dbdf47, 0xafce6271, 0x68e65c96, 0x51df4da2, 0x45a71118, 0x8a8e0248, 0x7281564e, 0xa00a0b73,
+    0x022d577a, 0x63efa81a, 0xa39fe143, 0x03029d71, 0x83a8997c, 0x846b721f, 0xe3c8dbf3, 0x29ed7cc4,
+    0x27180109, 0x227c3490, 0x1fd91b4a, 0x7ed6e3c8, 0xb17c0256, 0xe608d8f8, 0xc2db577d, 0x03ee9715,
+    0xe556f1b2, 0xe380b0f6, 0xcedffe1a, 0x5f33b0cd, 0x0da1feae, 0x70225ad6, 0x1f385389, 0x965bea46,
+    0x2ab5e3ba, 0x347bc258, 0x80304f81, 0xb634d0df, 0x18a2bd9b, 0xa511a46e, 0x621616bf, 0x34f0d07f,
+    0xf060e172, 0xa2ff1e4c, 0xb4f0ab45, 0xd6bff847, 0x6a3e0679, 0xfe115242, 0x690c8c4d, 0x6936b5ed,
+    0x48ee7515, 0x56ca9418, 0x096ff99c, 0x4dc69134, 0x1ab3b86a, 0xcc81f26b, 0x6c9dc3fe, 0xca6fae70,
+    0xda84fd21, 0xd80a8ef2, 0xe99e63a0, 0x6681dc3c, 0x87e3219e, 0xb4c6b7cd, 0x0c0d314b, 0xbb47f546,
+    0x72b6f3f3, 0x1d8d83ce, 0xd1debc9c, 0xc1689ec4, 0x8682a7b0, 0xaee71b68, 0xa1bdb013, 0x1b75fad9,
+    0x07cfa396, 0xf96e5015, 0x494c1eec, 0x50bd4ac3, 0xe71384e1, 0x76097cd2, 0x4715dc47, 0x3b404833,
+    0x3af28dac, 0xb43a9c94, 0xa9f984a8, 0x82c1dcaf, 0x36abf0dc, 0x98a58b64, 0x28cfec44, 0x4cd6ac56,
+    0x41380980, 0x166c6e21, 0xa08b6ccf, 0xb31a4c2b, 0x67035413, 0xd54ab69f, 0xea3c249f, 0x89a4d748,
+    0xcb07c7c7, 0x9b3e643c, 0x45fb6c8c, 0xb7de7985, 0x9fe49621, 0xb6b3da13, 0x712210ef, 0x42deeff8,
+    0xcecbc077, 0x76a15b01, 0x79ab391d, 0xaa0d0e97, 0x6d4bcb78, 0x06cd500a, 0x14f3e007, 0x887accfd,
+    0xa073a7d9, 0x269fe9d0, 0x7bfbff0d, 0x6da89a34, 0xabeabd10, 0x320ade45, 0x0688d887, 0x1e2a14ba,
+    0x8929d171, 0xd6fd592c, 0xf59663a5, 0x0814714e, 0xb652dae0, 0x04aa23ed, 0xcba17e83, 0x9b86c702,
+    0x8d0b9682, 0x81724bcb, 0x490f20a7, 0x5bd7fd1d, 0xaa6c2323, 0x1004f13f, 0x2157f9f6, 0xc113c88a,
+    0x8d1a0cd7, 0xb15efeb3, 0x94d805f4, 0x493c919d, 0x45995f76, 0xd32980f5, 0xabb5baee, 0x7499c698,
+    0x59e8a1ac, 0x0f9c4c0c, 0xce7aea4b, 0x6aebaf17, 0xcc73af8f, 0xfc74d3de, 0x46fecc7f, 0x799c7986,
+    0xbdcf6f61, 0x9a20e267, 0x70e94d4c, 0x687d3222, 0x9b7d055d, 0x78f68cd8, 0x73d2f048, 0xc7ab63b9,
+    0x46fe5e16, 0x0f492db9, 0xc8109450, 0x3d829180, 0x4f6f4bb2, 0x422eb5a6, 0x76bdbb8f, 0x240923de,
+    0xb7afb4a5, 0x7b043a15, 0x389e6a87, 0x05ca8001, 0x14dd7b97, 0x850962cb, 0x86d1b041, 0xf4d0e8df,
+    0x381ddbef, 0xc6041580, 0x0c149367, 0x9fcbdc69, 0x1357e557, 0x68f7960a, 0x123f2764, 0x5ad20711,
+    0x25cd3134, 0xfeff1ecf, 0x38ba99c6, 0xf5153d50, 0xb4994e1f, 0xf0122943, 0x903ae784, 0x72294f24,
+    0xeb0da0c8, 0xd260e1a7, 0xb4440b84, 0x7d67a92a, 0x289b45fb, 0x0a2394fb, 0x8407375a, 0x2862d52b,
+    0x6752bf35, 0xb0ef7975, 0x4c24e391, 0x14175189, 0x876679a3, 0x85b23fec, 0x6e73c64c, 0xbf4ccccf,
+    0x93a42cec, 0xd92e30b3, 0x2ab9a44c, 0x47cf735f, 0xa97a741d, 0xf5e695e9, 0x28219eca, 0x887914db,
+    0x951d3882, 0x2ba22f60, 0x31e22b40, 0xad12f4c3, 0x2b4b7ec1, 0xd350e911, 0xc699e969, 0xed64e733,
+    0x339548ef, 0xb5693359, 0xe05c421f, 0xc40142e6, 0xd09643e1, 0xc063b606, 0x2003d0fc, 0x4d9bfe79,
+    0x2d793f5a, 0xefe31f99, 0xef59c07a, 0xe1385dca, 0x73a333b5, 0x2910ea42, 0xd2d190b0, 0x12e0c8c6,
+    0xa727b076, 0xca5579ad, 0x64d8ed8b, 0x0aefe6ad, 0x815c51fb, 0xc8ea2f5a, 0xc095ea41, 0xe97a3665,
+    0x971382b1, 0xb067b626, 0x864ff004, 0x6f1b4d60, 0x05464aa9, 0x12251d2a, 0x8f31f291, 0xfa53f1d9,
+    0xc80a5b4d, 0x94d466d0, 0x1086b4b7, 0xf57ce5f5, 0xb803c79f, 0x26299f7a, 0x081af7d0, 0xe3b72171,
+    0x43280efe, 0x92d7dec4, 0x03deaaf8, 0xe422fa86, 0x8e0fcbbf, 0x83e94244, 0x2810155a, 0x22452533,
+    0xe6d414bf, 0x98e35ee0, 0x1c52e5b3, 0x75a11adc, 0xb4b5bd09, 0xedd811d2, 0x18c8283e, 0xe596c849,
+    0x8f911504, 0x6cd56dac, 0xcc9a3d78, 0x08111669, 0xabd907a8, 0xe2aee022, 0xd7cd1abc, 0x73a4b79b,
+    0x765b3934, 0x03409e2d, 0xf0bc641d, 0x950e53a9, 0x65cfca2c, 0x5e9a8fbd, 0xa5c28b64, 0x7da126aa,
+    0x2d617391, 0xfe7f0a47, 0x361975d0, 0x68aab028, 0x8c2e34de, 0x196bb7dc, 0x8c2f3229, 0xb88ee8e7,
+    0x6dfd81e0, 0xa1c6452b, 0x6e286ab5, 0xccfa5eec, 0xa14865e0, 0xef409149, 0xfa0b66a5, 0x02c34a04,
+    0x34cb3091, 0xc3426f80, 0xbef2769e, 0x08bb6bb8, 0x40ed0498, 0x2ac65665, 0x679c84b4, 0x7067127b,
+    0xc5f37a9b, 0x43458c8d, 0x7694a8f3, 0xd55af163, 0x9e614aac, 0x7219eb83, 0xb2055bbc, 0x7445cb57,
+    0xf3473dbe, 0xb14b8edb, 0xbb103037, 0xa3c2bd16, 0x9354608c, 0x8fb39950, 0x1db6d035, 0x93865319,
+    0xade3b39d, 0x13b37339, 0xd475a37f, 0x129b0be6, 0x7c319cdc, 0x818d8970, 0x8debce08, 0x5ab7e2e5,
+    0xe7a07ea8, 0x7e37a14b, 0xcd88466d, 0x3ed8cd15, 0x8a78a9d2, 0x9ff6ec96, 0x187f6dd9, 0x982854c6,
+    0xc86a79b4, 0xb7a7cd56, 0x6f59ac59, 0xd9b3d020, 0xf6d00f6f, 0xdf42affd, 0xda928790, 0xc2e4cb5d,
+    0x18ed2d97, 0x967c9c44, 0x2d90ba6b, 0xd21c160d, 0x98d21996, 0xcbb37502, 0x8fd60122, 0xb45121f1,
+    0x4f1c3bfd, 0x7d70a111, 0x93ef76ac, 0x309df5e8, 0xbbd22927, 0xa47a29fc, 0xf8f3fbc8, 0xb53eb742,
+    0xb783de17, 0x537c5612, 0x4d1ac040, 0x3600e887, 0xc7cee2ff, 0x52f1f142, 0x7798f08d, 0x84699c85,
+    0x2f4e15ef, 0xf3e493de, 0x8e14dd44, 0xec1c2789, 0x6828d20f, 0x9e96ea8e, 0x7add9c47, 0x53d91e00,
+    0x9690b855, 0xe4e68319, 0x283001d4, 0x85dd54e6, 0x61eb8bca, 0xa29950f6, 0x5d206dbb, 0x326d369c,
+    0x22bce289, 0x8849e380, 0x71b525c1, 0xe11926cb, 0x117de0c2, 0x33ce5b63, 0xb0e078dc, 0xca4d9b28,
+    0xece101e8, 0xdce3624f, 0xfb2dda4f, 0x8e37328d, 0xf5eadd46, 0x4467d787, 0x3d3a9883, 0x678dda4c,
+    0xa257fdc5, 0x85bb4f86, 0x69d10ff5, 0x28666d75, 0x28771bae, 0xdf562b18, 0x4a6e05df, 0x821126c0,
+    0xf1c145d6, 0xf969ccff, 0x676d401e, 0xbe5986ac, 0x321541cb, 0xe6abda2c, 0xe91ed1c4, 0xba62d62a,
+    0xda05642a, 0xb13b6dd9, 0x54aa32d9, 0xbd45d2fb, 0x4cb574c7, 0x3a947fbe, 0x47b92b92, 0x7e089e58,
+    0x9d283ace, 0x839cb78d, 0x199b4cf2, 0x359d3eda, 0x11e8ce2c, 0xe9083c4c, 0x77db8aee, 0xb8b70dfb,
+    0x170fc8c9, 0x0a64f821, 0x22863980, 0x256d3599, 0x58180d1b, 0xe9fbc573, 0x315872c6, 0xf89fbdf0,
+    0xdf575430, 0x78e85d60, 0x8bd84728, 0x2bebadb1, 0xa986a4a6, 0x8da2e552, 0x7ab47f02, 0x1d8a4834,
+    0x335b6c95, 0x189d1f79, 0xa860adab, 0x3a95dc70, 0x166450aa, 0x5b7d97ff, 0xc4db76ea, 0x4159823a,
+    0xcdad8891, 0xb915488d, 0xf6bb6c99, 0xc8bb23dd, 0x69f2a098, 0x519263ef, 0xf982d856, 0xe901a8d8,
+    0x02d93a21, 0xba31fb49, 0x77aed52a, 0x41d7573b, 0x5d5af920, 0x1ce1bd1f, 0xb2fb7363, 0xe27fbbe1,
+    0x90d3c111, 0xd767a2cd, 0x8de2fad4, 0xdff0c36f, 0x484acc50, 0x513156dd, 0x22597439, 0xc2cc20c4,
+    0x73e343b1, 0x5e5426a5, 0x650c0761, 0xf3470965, 0x1e6ed8b2, 0x268095ab, 0x16031839, 0x4da49f63,
+    0x3f6918fa, 0x5aceb749, 0x701e29e8, 0x78f67bd9, 0x3629a57e, 0xc403e3ba, 0xb7c19967, 0x7c4bdb72,
+    0x09428b5b, 0x5e5688bf, 0xbf78d86c, 0xe2d215e9, 0x4d2d7feb, 0x95ab2e74, 0x4db36baf, 0x34673380,
+    0x8e21b0ba, 0x0c7201dd, 0xc530a068, 0x6563538d, 0xe6e8cbfd, 0xd7a2ae90, 0xf0307ced, 0x730a0295,
+    0x565967b0, 0x01441095, 0xb16196d9, 0x6d43c323, 0xbd317d77, 0x99f049af, 0xe23df602, 0x2bb18ac9,
+    0x9c5f4120, 0x927e4d53, 0x0f53b8d4, 0x45660c65, 0x9904a312, 0xc819bff9, 0xdcc7e88a, 0x4a081a8a,
+    0x096624e8, 0x74204d95, 0x544b0d62, 0x35de4ed5, 0xc60681bd, 0x0e459461, 0xabc01300, 0x3720b5f5,
+    0xa22e5915, 0xc7a71130, 0xbc4eb4fc, 0x97dce8c4, 0x6efa17b8, 0x820453ab, 0x2c6e7603, 0x8732eb64,
+    0x74836b77, 0x977bd245, 0xcfffc6a6, 0x710dfb6d, 0xf070fd0a, 0x9d42005d, 0x3bae93c9, 0x99397f58,
+    0x7989d6c9, 0x10597421, 0x223cb8ab, 0xea6e1891, 0x14dfb251, 0xb5205ecb, 0xe4f5bf65, 0xee37fe09,
+    0x160d8909, 0xad30b5f9, 0x39b9043f, 0xcec19bd6, 0x032997b2, 0xa7f1ba71, 0x422a9112, 0x79798795,
+    0xac934574, 0xd1b3c5f0, 0x2679e757, 0x0b77575b, 0x62793ed6, 0x4c909631, 0xf7bb51e9, 0x8c07aaac,
+    0x6e10609f, 0x97b66266, 0x8da03fb2, 0xdd127bc3, 0x1c646a9b, 0x1b9d125d, 0x945b3dde, 0x853f00fb,
+    0xe94b1c59, 0xd5c4c95e, 0xa4c0a8d7, 0x106e8b49, 0x8a52218f, 0xfeaab62b, 0xc8ab31c2, 0xdfabc40f,
+    0xd62d7949, 0xacd2675d, 0xed7846d4, 0x3d1799ff, 0x0aa8b3c9, 0x8210ebbd, 0xad273f62, 0x711c468d,
+    0xe64c6cb4, 0x3c8b93df, 0x8d32b648, 0xa38e9a87, 0x7a09ceee, 0x2eb769c0, 0x001ff7ec, 0x75b79d32,
+    0xed9d694c, 0xed7a0c71, 0x73b0f15a, 0x71a0fdb4, 0x7da95d24, 0x8c338b38, 0x70ef33c7, 0xdf8d104f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000179179579374224336844595382\
+                         44547554224973163977877196279199912807710334969441287563047019946172856926208 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6,
+    0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e785, 0x9d06650f, 0xde9dd51f, 0x3a3e24bd,
+    0x00000000,
+    0xcb95d725, 0xbe565183, 0xeceaf994, 0x5aedcdb1, 0x34e384a3, 0xf747e60e, 0xad17fc3e, 0xd0ec8a91,
+    0x0c31ce76, 0x35cc78e9, 0xa417a798, 0x845ff799, 0x8b5e3dfd, 0xc8201160, 0x5c0fd328, 0xbee4b03d,
+    0x0e51be74, 0x48e08129, 0xfa62bbe7, 0x75a35257, 0xa21847bb, 0xf4762e4e, 0xcdbd8566, 0xb2f2de43,
+    0xc318fc87, 0xcfe7c03a, 0x5401022e, 0x4213b0d9, 0x53ef3774, 0x927928bf, 0x0419ddc8, 0x355f39e7,
+    0x00533d24, 0xb13779ae, 0xc7ce5b3b, 0x0d863815, 0x72f3d8b3, 0x609ce03c, 0xa50787a3, 0xb378f847,
+    0xa54030db, 0x953edb03, 0x775bbce7, 0x86704a50, 0x011f202f, 0x51ba80ba, 0xe0f40441, 0x6465918e,
+    0xe147a17f, 0xd35005ce, 0x8d2d31bf, 0x8ef110ae, 0x39ad9f8f, 0xf6f85d96, 0x43db47d0, 0x2315783e,
+    0x4d828ede, 0xf64ac922, 0x13a06ec8, 0xf521a295, 0xe3fd906c, 0xd47dd908, 0x1047e2a3, 0x008fc482,
+    0xae10245e, 0x7863e0d4, 0xac12cce3, 0x0393190c, 0xa067fe4a, 0xb1de09d4, 0xf4f0e245, 0xf5b297bf,
+    0x1a825daa, 0x8cc6fceb, 0xd9f605a7, 0xa18e0754, 0xe16b96e4, 0xf3abaed8, 0xcf72769c, 0x0940d438,
+    0x00d4f45d, 0x848cf863, 0xb5dfbc86, 0x14166ed7, 0x7823a51e, 0x84a1e2cf, 0x05d6ad2b, 0xd42f0770,
+    0x9e6daf40, 0xdc95ea6a, 0x4b741c9d, 0x13a48b97, 0x19d1206d, 0xd1162fd1, 0x6a932331, 0xe18bd3f5,
+    0x47227243, 0x74f926be, 0x7af99a9d, 0xad3dcb55, 0xc2ac3407, 0xa4ad6e6c, 0x0ba503d0, 0xf0c8b9af,
+    0xaf07901b, 0x459eaa59, 0x8c35fdfd, 0xb23932c5, 0xd46df364, 0xb7e12532, 0xe7ac46da, 0x5d812c97,
+    0xf229c5ef, 0xb4584c7c, 0xc09416fb, 0xa15e938f, 0x4e536117, 0xd60ac6f1, 0xb3b69bb6, 0x61160aa5,
+    0xbaad2fd5, 0xf29c00ed, 0x00e83dac, 0xad81bf5e, 0x73745c78, 0xd3061a4f, 0x2207d201, 0xb7316fae,
+    0xe451ce30, 0x6c3b42d4, 0xeb24b124, 0x8cd186c3, 0x03c40447, 0x601fe6dc, 0xf21d6149, 0xcac71d2f,
+    0xc9641952, 0x0d735ffe, 0x03279323, 0x47fc8bdd, 0x51bb6063, 0xa2bbd79a, 0x71baf427, 0xf835a621,
+    0xb58703d2, 0x2309f17b, 0x53837876, 0xdffb18a8, 0x874ea27e, 0x8b6fd2c1, 0x7fadb789, 0x9eaa778b,
+    0x91d31824, 0x44f48bd9, 0xd0a7dbb6, 0x33d8311d, 0xf9fa77db, 0x68df4356, 0xd97d0b20, 0xdf4e0d31,
+    0x6a9189a1, 0x8f4c7526, 0xb325d572, 0xfba54ab0, 0x880cb507, 0xd1360b44, 0x96063446, 0x4d63df54,
+    0xdcf5b16d, 0x7d07e528, 0x4ad71844, 0x6a26a182, 0x67f666d2, 0x57e8be2d, 0x33889c50, 0x46b72b57,
+    0xc33c481d, 0xd53e1637, 0xb40fb720, 0x03fb1df4, 0x66997261, 0xd9c0fd7c, 0xa62c9d7d, 0x6aeb75e4,
+    0x926b0355, 0x4d57d5da, 0x16e7d9df, 0x1555c618, 0xa4e9f934, 0xd7530827, 0x858c63b9, 0xbf1b9199,
+    0x6182822f, 0x5541ab97, 0x54b3d0ff, 0x00ad76ca, 0xa4c661ce, 0xad5ac656, 0x95780faa, 0x99dc58a3,
+    0x4a8f86c9, 0xcd5fa5f7, 0x09b579a7, 0xf64f192f, 0x59333563, 0x2da998ad, 0x4bb021a0, 0x7c5bd686,
+    0xd5a09e36, 0xcb06a19f, 0xe63dbb57, 0xf2f63c11, 0x54f7f99f, 0xdd254acb, 0x4448787c, 0x034f18d5,
+    0x6bfdd466, 0x4b7fb101, 0xe9f8bd7d, 0x44398aa8, 0x246b53e8, 0x6eb5aa4e, 0x186e0457, 0x0f807e50,
+    0x22e383b4, 0xe3569d87, 0xfb46a4de, 0xd1f50345, 0xe3a8e705, 0xeac82f23, 0x7116b855, 0x62a08979,
+    0x2ae87b88, 0x8673ab1b, 0xe4d5e1b3, 0xa1800136, 0x3f39820d, 0xe346fd1e, 0x32a8bff5, 0xedb7d2e0,
+    0x514bbf4d, 0x8061d117, 0xed5a5477, 0xbcdd0560, 0x20d90e13, 0x918d0209, 0xb8f84715, 0x5dddddf1,
+    0x9c1e278d, 0xb1e4174e, 0xd3037557, 0x5fae5b51, 0xaa8237bf, 0x901c6a3a, 0x030f1f06, 0x4e083b22,
+    0xb485f9ef, 0xe863a3ad, 0x9572b427, 0x47364008, 0x38671c61, 0x99767ef0, 0xa0aa379f, 0x124e9fac,
+    0x6eb1e694, 0xe6370cbe, 0x2dcda889, 0x48d414c3, 0x62d0cc90, 0x91a39528, 0x8cd801d5, 0x3b43af5e,
+    0x9eec58b2, 0x2b87076f, 0x3b6b853b, 0xea75455b, 0xc3cf808a, 0x581cb636, 0x85cdafe5, 0x890f6f4b,
+    0xd40dda80, 0x8ceea459, 0x8528b215, 0xa125b2c8, 0x3b57cfac, 0x05a7cb16, 0x427d9ee1, 0xe6e6ebb1,
+    0xd02a8d54, 0xefaeecad, 0xa3be9297, 0x66321841, 0x07bf280f, 0xd2fe1ad3, 0xbbb325e6, 0xd8a3db09,
+    0x62b50c87, 0xf3930eb7, 0x363041ea, 0xac5cd289, 0x5d55b67d, 0xcea9dcf2, 0xf246ff1f, 0x158d42a3,
+    0xf7a89121, 0xa67255be, 0xc6166a7c, 0x77eeadfa, 0x9a6e7794, 0x02cd3cb7, 0x1727ca15, 0x97a99ac0,
+    0xb1a33b01, 0x2d3953b8, 0xbc90cf5f, 0xc7de5a61, 0x09938d0e, 0x6aff8d5f, 0x55ebb938, 0x04a82b40,
+    0x393b2100, 0x8deb7c49, 0xbcca58fa, 0x8c9a5c43, 0x89a39aef, 0xd09aae13, 0x4af1e5bb, 0x79ecbd1f,
+    0x2d623ccd, 0xed8e0ec0, 0xabac61e3, 0x8243e10f, 0xaa2ba32d, 0x930e6810, 0xe4344d8c, 0x78a4c208,
+    0x441165f7, 0x2f6f81e3, 0x0cdf889a, 0x905ba203, 0xa5f52d6f, 0xb8aced59, 0x0f02fd17, 0xc1c1bc96,
+    0x539c1d1a, 0x25f62e45, 0xd99fbaf0, 0x8b2c8a0e, 0x0f61a847, 0x882b92f1, 0x05332895, 0x17fbb890,
+    0xff46f23b, 0xab893f0f, 0xcc1e3565, 0x1e1bce6a, 0x103b23c3, 0x6fe4f231, 0x676ad7f6, 0x5fc41562,
+    0x4af138e6, 0x2001ddf2, 0xf28d65ee, 0xb8895017, 0xc056707f, 0x6156c528, 0x6010ccd8, 0x6a43f1f0,
+    0x36f02fa1, 0x7635bc67, 0x37859d7e, 0x5fbd3fa0, 0xcfe44fa6, 0x924c6684, 0xfa4c1893, 0x68381c03,
+    0xa8772bfb, 0x4c5c7046, 0xab9791ad, 0x8f8c18a1, 0xa530ff74, 0xe9af8e74, 0x594b886d, 0x82c4875b,
+    0x9cb0b6dc, 0x4ec754cb, 0x9064c753, 0x1487dd02, 0x30955f0c, 0xc1dd1235, 0xa4d78035, 0xc78d9794,
+    0xc5296b48, 0xb1f28806, 0x4863f2e2, 0x4fc1b085, 0x3ca665b7, 0x89020688, 0xbf1481c9, 0xe3b5a62c,
+    0x580f6e59, 0x0ef9a9bb, 0xf6b6a5ee, 0x6fc55d53, 0x412748d7, 0xe6e98b91, 0xc1679f55, 0x1bdbac53,
+    0x30bd1275, 0xf4b1581a, 0xee21885f, 0x95fb8927, 0x54f2d8fa, 0xe50520b6, 0x15954fff, 0xb63c00c1,
+    0x3f60f6f6, 0x3595c939, 0xef4805ee, 0xb98db5e2, 0x4309e1bd, 0xfccf5fa8, 0xed39663c, 0xd555cbe2,
+    0xd4c39f92, 0x69314a9d, 0xe49f100f, 0xd6e21f3c, 0xc1a53ed8, 0x0bcda650, 0xa0dc6f0d, 0x089f5326,
+    0x24acbf4c, 0x7da90124, 0xfaae2cdd, 0x11b7cd11, 0xb0179ca6, 0x91d21d19, 0xadec2634, 0x1730dc5a,
+    0xb25fbf8b, 0x6cc81fb3, 0x559d812d, 0x52ae38eb, 0x52d77440, 0x30db68f9, 0xf55d147c, 0x32f339c7,
+    0x9b3717e5, 0x363d19b8, 0xa603f7b7, 0x82d73ff3, 0xe2a7bad1, 0x8e7436f2, 0x0b6716c1, 0x3083bdba,
+    0x6ea63286, 0x85872757, 0xbef9e4a9, 0x721b373f, 0x9900b827, 0x8adc7a3f, 0x501cdaa0, 0xcda1b995,
+    0xe6b9c7e1, 0x9d15ff74, 0xfaddc48c, 0x835fb81b, 0xaac67f80, 0xb428af36, 0xec08a2ee, 0x3a6a9151,
+    0xf8b26f45, 0xa8223a9c, 0xf03c60cf, 0xd5ba70b7, 0x4e44139e, 0x74282aa1, 0x676a776c, 0xe93e2574,
+    0x193c9c5b, 0x2942040e, 0x542bb714, 0xedb2ae18, 0x3a976819, 0x69f9b50e, 0x7be78244, 0x6f57db4d,
+    0x6de317f3, 0x32fbbb6c, 0x188e25c9, 0x56e99d3e, 0xa0e549d0, 0x2386de1c, 0xff6ed007, 0x53364cdf,
+    0x5d74f169, 0x9f40d41e, 0x61e8dc5a, 0x252d309a, 0xf6a29acc, 0x8bc65af2, 0xef0a2d9f, 0x8505ec2d,
+    0x16952ebb, 0x9f44d516, 0x8b5e5f61, 0xdf416f86, 0x8814e15c, 0x846f42e9, 0x6adb665a, 0x2b3b8a2a,
+    0xc58defb3, 0xb597b960, 0x93552f0d, 0x98cbe3b6, 0xfa3de0eb, 0xfaee36eb, 0xcc2cdeaf, 0x1df9e066,
+    0xf0ae2461, 0x46aafd98, 0xe9a25e3f, 0xe80959a8, 0x814f688e, 0x87cfae34, 0xb5206ba8, 0x12f7d462,
+    0x6adfda98, 0xbffd02e9, 0xca42b78d, 0xae5c492b, 0x814b91ef, 0xad8f7408, 0x3ab11f51, 0xe47e402d,
+    0x4add30ac, 0x7bf7047d, 0x6a3c0754, 0x12fa014a, 0x3288c964, 0xe9d29a81, 0x638372fa, 0xb9262c38,
+    0x6367fd85, 0x98f29b87, 0x49656175, 0x987f21bf, 0x4a0d32c1, 0x7d70e41c, 0xd5a4b54b, 0xa4e08543,
+    0x85b9d6d1, 0xab33cb6b, 0xe07ce7df, 0x9bef560a, 0xdea1c73e, 0x14125ba7, 0xb709bd87, 0x821d1201,
+    0x8687de0e, 0x1e37b1e8, 0x2bcbd63a, 0x0823ae47, 0x4565739a, 0xc503f244, 0x0221f399, 0x4471a216,
+    0x4f97c794, 0xd3354379, 0x036cde7e, 0xc5db2453, 0xb95d6225, 0xdbf9d419, 0xf654e01b, 0x645df09c,
+    0x306af40e, 0xad3119ef, 0xa27f572b, 0x9a6e681a, 0xab9fc529, 0x18690634, 0xf5531281, 0xd8f7dbcc,
+    0x79d06f1d, 0xf4f17231, 0xca4cffdf, 0x215399da, 0x2bb8cf31, 0xb24668ad, 0xbe8fc7e8, 0x092b60c2,
+    0xa3b006f8, 0x80d10083, 0x8897ede1, 0x35f99d1b, 0x22a4fffa, 0xc2fd4263, 0xb1b81e26, 0xdef2aeee,
+    0xf1734bfd, 0x7d6bc0c9, 0x494cefc9, 0xc3f34264, 0x86db3080, 0xb2fffb0c, 0xab519d81, 0x22639609,
+    0xf663132d, 0xddd7c265, 0x1ce57caa, 0x63016ebe, 0xbe5d52b9, 0xfd91158a, 0xd67213d9, 0x5a02d67d,
+    0xcfd45742, 0x4414ab4d, 0x7912facc, 0x31b7681e, 0x5a491422, 0x30465563, 0xd7a404a1, 0x1feade3d,
+    0xdf89cb76, 0x27aa1652, 0x9daae6fb, 0xf62e9db2, 0x0b9ad3ec, 0x29c4f5e5, 0x50d026bd, 0x5f2358a6,
+    0x4e321426, 0x6a04b166, 0xfbdd1e24, 0xc693031c, 0x567f936c, 0x89f80649, 0x7942032c, 0x43440f4d,
+    0x9c775379, 0xc6b222d6, 0x1d59722a, 0x9643066d, 0xc1f57f8c, 0x2f7f0fc5, 0xb1656672, 0x4cde97a6,
+    0x79fd1e20, 0x1614014a, 0x2b18270d, 0x35942b38, 0x98161ba6, 0x7941f4b2, 0xf32b8788, 0x5de85229,
+    0xd021022a, 0x986cd7bb, 0x1b3b7a9b, 0xf7493332, 0xc66e1897, 0xa18083f1, 0xb6b38712, 0xb612975b,
+    0x094684f8, 0x38ee96d9, 0x54045c10, 0x33de2e97, 0x70dba4be, 0xe530abf1, 0xf408bfbd, 0x4fdd641a,
+    0xf14ab5e9, 0x835001ac, 0x5ff79756, 0xfe5960a8, 0x43fdb71f, 0x683a9a85, 0x929e3985, 0xe0d35c09,
+    0x71d3de64, 0x3710b52f, 0xdbae0731, 0x3cb232f2, 0x27f20108, 0x62e67383, 0x1b9e6ae5, 0x12a3782c,
+    0x8675dc51, 0xdb5a0013, 0x56bc2ae5, 0xeaf42387, 0x9766b069, 0x489a4c00, 0x017ccf01, 0x20b72db9,
+    0x60674953, 0x50bd02b3, 0x4565174c, 0x505d97f1, 0xd6f153e6, 0x500501dc, 0x80a8b67f, 0xfce02e9e,
+    0x85f0dca2, 0x06ce00f4, 0x5560b3a9, 0x9a036c3d, 0x2fa07ab0, 0x11f4f98b, 0x8d40d014, 0x93c7cb23,
+    0x720115bb, 0x4ba40835, 0x538764ad, 0x330d997e, 0x08b6ac3d, 0x1d6f1be0, 0xa29ddae3, 0x07443f2e,
+    0x1f292e34, 0x5ccebe99, 0x2ff42472, 0x2b54811e, 0x445f3501, 0x10da9031, 0xe552be5d, 0x9380fb68,
+    0x626b8973, 0xce299698, 0x1287dab3, 0xcb7103c7, 0x42a6a281, 0x2369e14f, 0x02f052ea, 0x985956e1,
+    0xc92ab093, 0xe04fcaba, 0xde2e5738, 0x39a492e1, 0xc728db5b, 0xee086396, 0x74323bda, 0x30a61657,
+    0x7c8b91bf, 0xd83b8a41, 0xaf9379d0, 0x1eca48e0, 0x39c532e4, 0xaa90d56e, 0x92af6034, 0x7ef3a6d0,
+    0x9e73d690, 0x25910dbe, 0xd948bb32, 0xd979e421, 0xd3495cac, 0x5122db88, 0x87e04727, 0xee080b89,
+    0xd7ab4c25, 0x5ead0f2b, 0xe8ee061a, 0x1b626035, 0x0d53e8c2, 0x6aec2ef0, 0x1943c277, 0x5ce3551a,
+    0x19484412, 0xa98e85f5, 0x2075b6c5, 0x63cd6528, 0x4cc05676, 0xecf96191, 0x035970d0, 0xc2016c6b,
+    0xa75d8299, 0x9d0d738a, 0x310b7933, 0x4289849d, 0x32d61b3c, 0x6a0ad854, 0xddb678d5, 0xfbffd0e0,
+    0x1ff9a4ac, 0x067b2783, 0x23cbf7cf, 0xda9b24da, 0xb86c30bb, 0xb09b9484, 0xf28de17f, 0xd781d44c,
+    0x1aaf782e, 0xcdf603b6, 0x4b6cc057, 0x4a9bf9e8, 0x1ec54e60, 0xe267850b, 0xf537ed66, 0xed07c6f3,
+    0x45dded39, 0xf95acee1, 0x16a15e76, 0x8c5c6dcc, 0x86c92ac0, 0x4a05bae9, 0x4012b626, 0xa378449e,
+    0xe97e1516, 0xc505feeb, 0xcf1e8ca5, 0xdf79b1f4, 0x3cf73e9a, 0xf8cb84a5, 0xb7a3d1cd, 0xe042c749,
+    0x943adc1f, 0xe94f5102, 0x285704de, 0x5306f512, 0x362d5f43, 0x809c6083, 0xb5ba1699, 0xecebafd4,
+    0xb8525557, 0xcebab83b, 0x071c9710, 0x9d758b27, 0xa562b737, 0xb69d84a7, 0x61687c38, 0x1e77d644,
+    0xc4bc781e, 0xe6b5d359, 0xfc0058d9, 0x375d04a3, 0x3a4c7fc3, 0xc68b3719, 0x6a9610f8, 0xb07336c5,
+    0x6048d39e, 0xc33a96c5, 0x806ae0cf, 0x170e3414, 0x9e638884, 0xe3ae9dd3, 0x5acd2c8d, 0x3df1c860,
+    0x8056e1e5, 0x9ea857f3, 0xf2eb0a2f, 0x7e888908, 0x49c841d8, 0xae0b0355, 0x964368de, 0x1e9e89b9,
+    0xf0e141ed, 0x204b0a06, 0xeff339ea, 0x942052b1, 0x8af4ca1f, 0xdbd08024, 0x90a828c6, 0x99ffbd81,
+    0x1cb1169f, 0xdab218c4, 0x51567a81, 0x89b0c51e, 0x30628c1e, 0xd4c1a3b1, 0xe90c138f, 0xef616eef,
+    0x0c493d7e, 0x16988c9e, 0x58bb106e, 0xdc328e77, 0xfabdb45c, 0x3c2f6292, 0x0837f892, 0x7c35b074,
+    0x101d1737, 0x7c9d76fd, 0x2456215c, 0x42d81f8d, 0xda86cdf2, 0x99943b88, 0xd2e537a9, 0x82204406,
+    0x0dd16ba8, 0xd651e3df, 0x39af274d, 0xe88679a1, 0xc3790894, 0x4486719c, 0xadc6ce28, 0x0fb7fc52,
+    0x3e2dcd31, 0xb1f8e563, 0x130cb4f1, 0x4e166655, 0xabdb2707, 0xaba93ca6, 0x91958515, 0x49812c94,
+    0x478f333d, 0x541e044d, 0xe3fc7f5f, 0xdfbdf21a, 0xbaae0c2b, 0x0351b289, 0x25e9b60b, 0xe08762a6,
+    0xe916fd8e, 0x7386d63c, 0xfb98b9d3, 0x100adfbe, 0x5326abac, 0x873f248e, 0xc4f5f0f5, 0x2e03608d,
+    0x8aaf91d8, 0x9b62f904, 0x40d5cbb1, 0x2530c834, 0xf51e8355, 0x67170f15, 0x8cfcb297, 0x24e6e329,
+    0x55783b95, 0x6bd0dac0, 0xf70f6381, 0x08aaa603, 0x1d5cd5c3, 0x6c96719a, 0xf5130e0d, 0x54f7ff26,
+    0x36dfaf02, 0x45870ec3, 0x23174e4f, 0xa0ef5db7, 0xd5f35246, 0x6dda9a5b, 0xf053c28a, 0x81f78ea3,
+    0x0f97e202, 0x0fae15e3, 0x0b8b982b, 0xcc7558c9, 0xa6bdb317, 0x1676cabc, 0xd25526ca, 0x975b02cb,
+    0x1ea43512, 0x5c44893b, 0x938f6b04, 0x11fb45e6, 0x623f9d95, 0x835a3953, 0x18347ad7, 0xc4f53687,
+    0x3b963225, 0xffd98861, 0xd335e7ef, 0x92cce0dc, 0x18196fd7, 0xcdd7a97f, 0xd4ccffd5, 0xb719fcc6,
+    0xc219ac8c, 0xfa30808b, 0xb7ab701f, 0xe45ab9f4, 0xbcad210d, 0x771c3566, 0x21248989, 0xb074768d,
+    0xdcd5380b, 0x57cf6673, 0xe35ba0a8, 0xf97ff5e0, 0x1f02750a, 0x0636c150, 0xc9219147, 0x4d505e19,
+    0x6b6ec05e, 0xe5bc09aa, 0x28dbc3d1, 0x02c6a70e, 0x8770ddf5, 0x1a969923, 0x7e192ee4, 0xaa7e7e58,
+    0x599f99fc, 0xd9443b4d, 0x9a50a868, 0x6a10e0cc, 0x721ca097, 0xe39ca0e5, 0xe0111070, 0x26412482,
+    0x9598bb0e, 0xe44d9d06, 0xefab1fcc, 0xd3ebe78d, 0x157c34f6, 0x5424991f, 0x0e80f619, 0x91b3610d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000089589789687112168422297691\
+                         22273777112486581988938598139599956403855167484720643781523509973086428463104 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb,
+    0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c2, 0xce833287, 0xef4eea8f, 0x9d1f125e,
+    0x00000000,
+    0xa16d8160, 0x8d2b539e, 0x23eb5f7d, 0x11a48717, 0x9a1f103b, 0x719eb3d7, 0x5ece62c6, 0x2a871f89,
+    0x7e83cbda, 0xaf3ee40c, 0x950bacf4, 0x31f10643, 0xa7ad962a, 0x15ccd078, 0x41b28f6b, 0xa2aba84f,
+    0x5cee19d7, 0xcb5170c7, 0xa30d163b, 0x12103950, 0x0c4cfbf8, 0xb7a87b3c, 0xc8ebdd40, 0x6eec62f7,
+    0xac8e4361, 0xe8c95907, 0x6755d9ce, 0x1051038c, 0x7d5d2769, 0x0f934e83, 0xd7ee981a, 0x7c284589,
+    0xcd41994e, 0x39635baa, 0x9ccef064, 0x242711af, 0x7377d653, 0xcd134393, 0x99a86bec, 0x1ecdabfa,
+    0xd7a0f07a, 0x3efc649c, 0x17a3fd45, 0xfe6c21b5, 0x894febc7, 0x4593ec1a, 0xd40f3a85, 0xd157d1d6,
+    0x31923b40, 0x06a45154, 0x889da2f0, 0xf849317d, 0x66eb202d, 0x172bab7a, 0xb882833e, 0xa3162047,
+    0x6c8c01b2, 0x4a7d6cb5, 0x1018fb4e, 0xecfe9cf2, 0x4f888974, 0x7d44290c, 0xc21dc488, 0x926f4af6,
+    0x73b89773, 0x962cb1a3, 0x24ab4aa8, 0x886228e1, 0x1f5de14e, 0x3d034eac, 0x4b63a6d1, 0xe3f2385d,
+    0x9684145e, 0x6489be3d, 0xa8ae55ca, 0x0b030cbb, 0x9d273390, 0x350f4c9d, 0x697c9cb1, 0x0321fcae,
+    0x89fba3fc, 0x6f90e436, 0xa06ceea0, 0xd5c4f20b, 0xeb3aa91e, 0xd38ec1b0, 0xe269eff2, 0xee569eff,
+    0x9656da15, 0x0049f14d, 0x3d6032fc, 0xa1958e90, 0xf4b143e7, 0xbbf11568, 0x71b951ff, 0x12a8e23b,
+    0xbcf44c86, 0xc8e1394e, 0x334b4ad1, 0x45de8f39, 0x50d97abc, 0x39052878, 0x824074ff, 0x98ae1cef,
+    0xbc9a57f7, 0x36a31f0d, 0x9b620dca, 0x59eff312, 0x1be45c20, 0xee1348eb, 0x64ff1aa9, 0xcd1228a6,
+    0x2d25f3da, 0x44058814, 0xd3001d53, 0x498b9602, 0xe7c585e2, 0xfb3177b1, 0x2f7a2462, 0x598f8db4,
+    0x19e9f70e, 0xa27d4989, 0x65ad2f88, 0x6833186b, 0x944a99ae, 0x52084891, 0xc25365c0, 0x4b7d682e,
+    0xfe15c6c5, 0x0396604d, 0x2b6ae9ce, 0x0d9c4562, 0x8657b148, 0xce2ee1df, 0xc4a40fe9, 0xe0673ed7,
+    0x8584e173, 0xd0521460, 0x5dbe3a86, 0x11be6937, 0x51482fac, 0x43b3b33e, 0x1ae35d1c, 0xc287b524,
+    0x7b9359bd, 0xbf997d75, 0xc34e6614, 0x28c726f1, 0x766eb477, 0x47869b98, 0x443a995a, 0xe24a9319,
+    0xf751a9ac, 0xda58d448, 0x0cd8204a, 0x4752c6cf, 0xb4cb3273, 0xfd1b0ce3, 0x0bb7ba07, 0x0648981a,
+    0x87b171dd, 0xbba43c89, 0x2beecf21, 0x5a7acf7e, 0x9a09d1fc, 0x6bd080f3, 0x3f415478, 0xe9b5d9bf,
+    0x6cb10b70, 0x4d95f3d3, 0xe64571f6, 0x4a1c81f0, 0x32587008, 0x38a385f0, 0x0b625ea2, 0x6479aed5,
+    0xdb9e6543, 0x9de88329, 0x1bd45385, 0x5498fdaf, 0x381efdbd, 0x03ce7ce7, 0xf0c575a3, 0xe60baadc,
+    0xf2ffacd6, 0xd456690f, 0x8a2a363e, 0xbdced443, 0xe3100ce0, 0x8c04e60a, 0x78c5998a, 0xfc6892c1,
+    0x1287eb48, 0x94922908, 0x7303f849, 0xcc2ceb3b, 0xbb9cc29a, 0x0ec9ed72, 0x17cb85fc, 0xae044c96,
+    0x6c7e25c6, 0xba78c615, 0x65bd9d45, 0xb16a0948, 0xfbc742e7, 0x229aec11, 0xa904453c, 0x3b6a977c,
+    0x5579b8af, 0xeb5c3ee1, 0x2b716b1f, 0xcb4c7f01, 0xddecc0aa, 0xe4c3efa5, 0xa57a2272, 0x2b0308e3,
+    0x61ffaaba, 0x78cdedfc, 0x23725961, 0xb6431957, 0x2342a71c, 0x2e694c55, 0xba965d4d, 0x7980ace1,
+    0xb65540a3, 0xf1c95a48, 0x078bbc16, 0x7e1cc281, 0x3ce63e6e, 0x9e4d57e8, 0x594907c4, 0x56d80060,
+    0xe5269616, 0x6aff3e9d, 0xcb16fd1f, 0xe2b462fc, 0x191e62e4, 0xba667821, 0x8c6227fb, 0xa8705900,
+    0xcf14639f, 0x5b6dde2d, 0x22cb66be, 0xbac94630, 0x205df156, 0xb73c3fdb, 0x5c93d14d, 0xd0bf35f8,
+    0xecebb292, 0xdb321db6, 0x92c06d5f, 0x1bd36fcc, 0x278cc527, 0xd2a03227, 0xc02107ca, 0xb95bd2af,
+    0x15b312be, 0x416f6ab7, 0x5551a5ba, 0x9a966751, 0x9e4c221e, 0x904b82ca, 0xfb7e312d, 0x9a386504,
+    0x3b724d43, 0xd2d37276, 0xdc6a55b4, 0xb42d3735, 0x114aa6f4, 0xf51d2c37, 0xffb0ea3d, 0x5a4223ba,
+    0xdceefd48, 0x75bfdf5d, 0xa7a82d1f, 0xaabaacb1, 0xcfcc809c, 0x23b8a88c, 0xd5d958bc, 0x016a8f97,
+    0x0bef9069, 0x41b9aa45, 0xe5fb56ad, 0x3a721abf, 0x62b20055, 0x4d68aa4c, 0x557237e8, 0x43805507,
+    0x61fdeb33, 0xde91910c, 0x1a7f7966, 0x6c1a6a5f, 0xba675537, 0x362a1503, 0xad8b2cda, 0xe93a0433,
+    0xd6f5ae36, 0x367e87ae, 0x47c26f6a, 0x854084ed, 0x1b45ce3d, 0x119b08b6, 0x2af0b7e3, 0x346fa68e,
+    0x63e5cd5a, 0x79d808a7, 0xa44f17eb, 0xc3c5fc3e, 0x2c248b08, 0x979bf085, 0x8f37b100, 0xbe75fcc7,
+    0x68c3cb8a, 0x13110dfa, 0x28c597b2, 0x1436fe54, 0x338eacef, 0x3f11592f, 0x8986552e, 0x157180a3,
+    0x067254e9, 0x0d395565, 0xe59ee9c5, 0x9b5ff470, 0xe7ef4f47, 0x69f1676a, 0x8a093489, 0x793543f8,
+    0x91394f8b, 0x9cb0b579, 0x03424a4a, 0xa2d16f06, 0x1b86dfa5, 0x6ced80ba, 0x367df074, 0x26775b1d,
+    0x4d3814a8, 0xa000c1d5, 0xdf6b6d2b, 0xdd0f5a80, 0xb14a560c, 0x965a1c1c, 0x55912ca6, 0x769e1e2c,
+    0x08bfd863, 0xa39b108c, 0xadfe12ea, 0x2e4d8a71, 0x4e38fd87, 0xf68aed9b, 0x7c5772b2, 0xe37dce4d,
+    0x12f64dbf, 0x4b773a13, 0x1aec30b4, 0xe0e655c9, 0xca3ad4d8, 0xf3913621, 0x495ee0fe, 0xed3b1181,
+    0xf7ede162, 0xd59da08b, 0xbdef4c3e, 0xc6b54b08, 0x2bd48418, 0x737b96f5, 0xa6f80490, 0xde36651d,
+    0x472d9240, 0xbdc43142, 0xd46607e9, 0x225c4635, 0x15160e74, 0xb124e050, 0x19b34b5a, 0x2afeb1ec,
+    0x338cf90f, 0x0decef03, 0x1fd71984, 0x90a9f7bb, 0x9246fd2e, 0x2ddf079c, 0xeecb1a04, 0x6b4ee56b,
+    0x92ef281a, 0xdef2895f, 0xaa48c315, 0xfcc7d99e, 0xd2f64c54, 0x0cb0891b, 0x43974ed8, 0x83d3aa77,
+    0x4c0b4c4f, 0x47f02525, 0x593bcf00, 0xae7dbac6, 0xa3af7ad5, 0x47447dcd, 0x2a8e9181, 0x0a2bb16a,
+    0xdafabf94, 0x9c8b5b25, 0xfa082404, 0xe60ed686, 0xcf370dce, 0x3845773e, 0x2c73f443, 0xc3395109,
+    0x6e4c3f8f, 0x7a916807, 0xaea0d249, 0x48371356, 0x50703a9f, 0xc12f117b, 0x2ef1c9f5, 0x66ca38c5,
+    0x86b26740, 0x65d805af, 0x63fd4a28, 0xdc528d3e, 0x861938a4, 0x49ee9971, 0x6eac5084, 0xb085fd57,
+    0x34d7f6b4, 0x4657c8d0, 0x618ac546, 0x041c5180, 0x34ef3e33, 0x5a6965fd, 0x70d371c6, 0x7d9d9b70,
+    0x5d95293c, 0xb19e19d9, 0xb65e2ce6, 0x4d4eedbe, 0xb18d9092, 0xdb15d068, 0xd646292f, 0xd14e652a,
+    0xe672c9b2, 0x3f8c938b, 0xa6ebc588, 0x96c67a25, 0x7dde1777, 0x5d701c8a, 0x5e440284, 0xab8573de,
+    0xe7d68c4c, 0x88ae90d1, 0xf9a2a3f8, 0x503f6556, 0x09f62fbc, 0x2a81d4ed, 0x6b80fb59, 0x2140eabb,
+    0x6fb657eb, 0x17b6563d, 0x07c80969, 0xd70714b7, 0x4d67c346, 0x24e86be6, 0x2429aee5, 0xafa43976,
+    0x37b6eee8, 0x8bf63812, 0xbdfe3361, 0x98c5f5bf, 0xbcc6e542, 0xd46414b6, 0xaeb14537, 0x643c01e0,
+    0x50060a01, 0xa4bdc68e, 0x10b646e3, 0x8d5c9f74, 0xe40fad21, 0x6fd41340, 0xe97c633a, 0xd55a6148,
+    0x5183fbc6, 0x11738dc5, 0x87541ff5, 0xde2120a8, 0x8f8d1391, 0xcf3acf92, 0x88f67d00, 0x9647f84d,
+    0x39e25c83, 0x4129d612, 0xde6a7b8c, 0x40c1c434, 0x739761d5, 0xf95548e2, 0x82266035, 0x35879bc1,
+    0xe200d657, 0x4b0d2113, 0x48430628, 0x69b91510, 0x91206dc9, 0x6caf2743, 0x0cd67c9d, 0x2756734b,
+    0x60b1992a, 0x6c5c21b0, 0xe0360e9f, 0xb6fe9d3f, 0xb5e455d4, 0x4d05ebdc, 0xaeca3b2f, 0x95091232,
+    0x84de13a4, 0xfa05bd64, 0xf17a4a34, 0x8b0cfce1, 0xfeff2d94, 0x7bae4496, 0x198b69b2, 0xeb2086ac,
+    0x7898f3dd, 0x297d8c17, 0x6cf03cba, 0xf26901a0, 0xcce035b6, 0xaec3dc5c, 0xb17aeda4, 0xae0257fe,
+    0x156b2602, 0x8ab099e9, 0x361e7c08, 0x2c3b21c0, 0xdff5a9d5, 0xf785a409, 0x617d7830, 0xd0d884d2,
+    0x3ee5ccc9, 0x58777462, 0x181682ce, 0xee32cd7d, 0x114ef655, 0x9d125373, 0x2d87c812, 0x180f56e9,
+    0x23689375, 0xf74af06a, 0x23c1db57, 0x8c7d1fed, 0x68efdf5b, 0xa4b56060, 0xab3030af, 0xd47c2224,
+    0x94d5f99f, 0xa5560134, 0x7c6727c9, 0x3371b9e8, 0xf211a336, 0x486b107f, 0x27010b56, 0x69b52bab,
+    0xe9352677, 0x642c77ca, 0x8a58e5da, 0x0b095b1f, 0x3fd8011c, 0x93ec4bc3, 0x228ca68a, 0x5d5c83b8,
+    0x13f49ec7, 0x86e8c1b0, 0x88fcfbcc, 0x615d0cc1, 0x005dea6c, 0x788fc4f8, 0x2888478d, 0x9c57de28,
+    0x6bb9f3d4, 0xa11ad34a, 0x1d540d16, 0x4181bdff, 0x76a436f1, 0x8ddaf487, 0x724021ac, 0x05c72780,
+    0x4dbf04f2, 0xf7e002e3, 0x1902e9cf, 0x86b7a948, 0xd91ff5da, 0x31ae17e1, 0x6e6136df, 0x70c84533,
+    0xbb65cb98, 0x76aa17f9, 0xac971303, 0x086a04d6, 0x39d1704a, 0xbbd7ee11, 0x38bca98d, 0xd1827f6d,
+    0x979aace6, 0xc9a85851, 0xd6664118, 0x1a594593, 0xb35e895f, 0xf4a27b62, 0xf4ad106f, 0x54786b80,
+    0x119f08cd, 0xa81c6753, 0xc175251a, 0xdce25308, 0xa0241026, 0x37fe14d5, 0x18c5db1e, 0x93ac125e,
+    0x2cc9b370, 0xbc29df71, 0x5bc52a17, 0xfb6dd8e8, 0x4bb2a961, 0xf82bd255, 0x05e904e1, 0xf7464a41,
+    0x8b2efe47, 0xf89c7c18, 0x80d876db, 0x31d3f940, 0x5c534cc2, 0x194bbb2e, 0xf6453eca, 0xdf3d1172,
+    0x8b86f77c, 0x4b0524a5, 0x4f58216b, 0xb5f1e419, 0xc705e4cd, 0x46444472, 0x65c4e28d, 0xcb4da753,
+    0xf8d1851d, 0xbc2739cd, 0xd28a484f, 0x93785d24, 0x020170fd, 0x1812043c, 0xcfaf4be6, 0x59eee541,
+    0x3873edae, 0xb8b39836, 0x87cdf4a0, 0x4d2e817e, 0x364c61fb, 0x091b824d, 0x3af6ea55, 0x4aa8b5ad,
+    0xae3af0c3, 0x15f374e4, 0x73ac49d7, 0xc8ae8162, 0x5aa17740, 0xbb82da41, 0x6408d03a, 0x2922d173,
+    0x0f4f8f7f, 0xe8f8a4f2, 0x413df974, 0xbdb2eb11, 0x5abee5a2, 0x71f17230, 0x43edf3ec, 0x8dbb3e1b,
+    0x28d68ebb, 0xf3d67e0f, 0xc05d279b, 0x3094a9e4, 0x40b4904d, 0xb054fcd0, 0xa736c706, 0x4030da87,
+    0x34837245, 0xe9749c18, 0x1cd42da2, 0x58f454f7, 0x67e60084, 0xbf87c50a, 0x1319d925, 0x8670ef42,
+    0x727d76af, 0xb44cecb5, 0x49f65b07, 0xbbd7dd00, 0x09811b0f, 0xca03e465, 0xf06f465f, 0xc4a6c8cc,
+    0xf9bb4469, 0x98c6b8cf, 0x38b2ec11, 0x4cf02b02, 0xc5025b40, 0xa324e987, 0xde8e587f, 0x01f4de16,
+    0x4f24732e, 0xe55bff6b, 0xbedaa2a9, 0xd80751fa, 0xd2b9b161, 0xa0880933, 0xd52204ee, 0xf7fb05d9,
+    0x977b92bf, 0xcbd68aeb, 0x33c394e9, 0xe7fb0e8a, 0x976c480d, 0x4d8b5b38, 0x11f20d18, 0x3bd3f1a5,
+    0x183525c4, 0x2a778a5a, 0xe2d3592a, 0xa67fa773, 0xeb4b6597, 0xc1e596bf, 0x73391ca8, 0x1170b5f7,
+    0x5524a191, 0xbd0a2ba6, 0xe0b9dbbb, 0x97875b8f, 0x1de5277b, 0xd3658e5d, 0x1bf16bce, 0x1bc9077f,
+    0xafe01ad2, 0x12a94b72, 0xf06f5944, 0x9a4bb627, 0x80ba6d77, 0xb5ae2f95, 0xc7847a56, 0x73e2f863,
+    0x3b0dd154, 0x86e51f76, 0x637612af, 0x29485c7b, 0x322453a1, 0x2f7b8936, 0xb60244b1, 0x01434351,
+    0x228bd9c6, 0xb1dd9332, 0xfaf0a4cc, 0xf7235abb, 0x74978669, 0x591b6173, 0xbac330e5, 0x791a85a0,
+    0x77b2fbf9, 0xba0b47a2, 0x340ead14, 0xf36c91f7, 0xcdcbcfc9, 0x4d1acddf, 0xb49c3b9d, 0x7f93d212,
+    0x6916ba13, 0x15e9b644, 0x6ed1bc06, 0x131c6e5a, 0xdd680d26, 0xa2a3a848, 0x1976ed3e, 0x90178c86,
+    0xb9562de4, 0xd67c08de, 0x9e051d5f, 0xdfe916a3, 0x2b0b7ffe, 0x3a1ff164, 0x48a839f8, 0x28c336e5,
+    0x1ab02ded, 0x453cb4bf, 0x662a3416, 0x75039206, 0x912c6664, 0xd5900e6d, 0x11d3c72e, 0x2460cba8,
+    0x0477a44b, 0xe973494f, 0x84639263, 0x4ad88999, 0x4d19a38b, 0xb47fedff, 0x4ef8d119, 0x7c88e20e,
+    0x7fd5c0d6, 0x805441a8, 0xaa4ef546, 0x4c52b9e5, 0x5941ea37, 0xe7967d6c, 0x70ed172f, 0xd0e8e364,
+    0x28d04ecc, 0xa8d62ce6, 0x0e820b56, 0x49ccb6e7, 0xbc8cbeef, 0x2b71e257, 0xef7e3e78, 0x20451b3a,
+    0x4fd11833, 0x71a97846, 0x16a684c9, 0x9c9cab15, 0x8e0374b5, 0x498e5cf6, 0x297c5e25, 0x49686beb,
+    0x8dc48778, 0x433ec671, 0xc29ddd45, 0xfff3227b, 0x86413a18, 0xdbff0973, 0x06f8b508, 0x59496ef1,
+    0x4640114b, 0x13da8978, 0x200c3dd7, 0x88332926, 0xfb78a6c2, 0x2a160ee4, 0x7d6feaa5, 0x9b589071,
+    0x919de7c1, 0xea8a83c3, 0xd7e3bfea, 0x8a8b22ad, 0x9e687afe, 0x8cd1d696, 0xe4b15650, 0x6352f668,
+    0xa319534f, 0xc036829a, 0x814cfed5, 0xed8117ee, 0x19db0f12, 0x077aae7c, 0x9ff9cf4f, 0x1fa77fdf,
+    0x29c9aa5b, 0x426ca5dc, 0x8ef2f89c, 0xebb37422, 0x1a07d414, 0x2b75ecd4, 0xd53e3d1f, 0xf37535d5,
+    0x7b332a0f, 0xd4e06a32, 0x3f7971de, 0xb527e103, 0xec64d55e, 0x672c79b5, 0x67b782a7, 0x48778bd2,
+    0x235cfb87, 0x1332f50b, 0x475f45b9, 0xc9dc6809, 0x0d179ef6, 0x8a59aaf1, 0x847c09bc, 0x39b7bb12,
+    0x160a484f, 0xafbd6def, 0x9a920f4d, 0x821a8a0a, 0xa75ff438, 0x37e2bfd3, 0x95770587, 0xbf2199be,
+    0xb003e946, 0x09a5869d, 0x817d0d75, 0x59edaa9b, 0xbad07132, 0x3384d657, 0x0e27e9ba, 0xc12ec417,
+    0x01a374bf, 0xdc64dfad, 0x32e4d891, 0x43a91c18, 0x7f9a8f18, 0x94c63e49, 0x2150e2be, 0x0c81e272,
+    0x77a7472c, 0x56c3f884, 0xe5cb682d, 0x87b8231a, 0xee29685f, 0x5f801b1e, 0xd630f2e5, 0x109bdeb0,
+    0x2c98d25f, 0xce5783d8, 0xd728982a, 0xf39334ea, 0xaece3a64, 0x3355befc, 0xf75045ca, 0xf9d6ac6f,
+    0x736ed7e9, 0x8205833d, 0x2513e9ae, 0xb78a339f, 0xac4e0f71, 0x07fcc24a, 0xddc3fcf5, 0xae12b81e,
+    0x029e415b, 0xfe8b7b41, 0xc8c2f1c4, 0xa6055b7b, 0xa5ca5afa, 0x1403e17c, 0xbc0d7c81, 0x7cde33d1,
+    0x65e7e369, 0x875dedc4, 0x5f5c5e97, 0xcfb425c1, 0xeea685f5, 0x9c1af2b1, 0xfa73d233, 0xa89973e4,
+    0xe4ece1c2, 0x015f3eb1, 0x5f13c8ad, 0x19be198b, 0x00da81b9, 0x1604d290, 0x9dfba1bc, 0x409f209a,
+    0xfab45e69, 0xd7e48142, 0x3695affe, 0x5f877129, 0x4ff9478c, 0x76f2690c, 0xee4ec335, 0xc1b4195a,
+    0x2d399e48, 0xc4914c5d, 0x19dddad3, 0x97b0e7d9, 0x82ff7ce7, 0xc7ac9750, 0xf4faf65f, 0xce0a9999,
+    0x8489bcef, 0x6249fd2f, 0x2ddaeadd, 0x527154ac, 0x6637c4ca, 0xfe874511, 0x3b57b025, 0xaa92f4fd,
+    0x2364b7d5, 0xcebcbca7, 0xe351426b, 0xa9d2fe8b, 0x129dff6d, 0x206189ae, 0x13bbf2b8, 0x57c717be,
+    0xa0ebfda1, 0x3d01d3bd, 0x151f09e6, 0x3a7d6161, 0x19fa6404, 0x2bce7d62, 0x2cb6162d, 0x1e0e3607,
+    0x4a7b9e85, 0x70ab9686, 0xd318f243, 0x479153f9, 0xa70c8ee5, 0xad333d8e, 0x3c040313, 0x42750c93,
+    0xd5facd54, 0x2a9645f9, 0x34d2b3c3, 0x0d4de233, 0xab0b4d3f, 0x208fd324, 0x47359cf1, 0x94eb7e21,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000044794894843556084211148845\
+                         61136888556243290994469299069799978201927583742360321890761754986543214231552 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd,
+    0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e1, 0x67419943, 0xf7a77547, 0xce8f892e,
+    0x00000000,
+    0xcb4968e0, 0x33eb0e84, 0x669c9c0d, 0x24e31c7f, 0x019d36d0, 0x931e9f93, 0x7fbca81f, 0xe7e6a144,
+    0xfd9c86ee, 0xa9b34682, 0xffee12bd, 0x2d3898f1, 0x1e3d4546, 0xfe6374d3, 0x7d2d37bb, 0x61019d1a,
+    0x42ad9ed0, 0x1f62c201, 0xb8f6c29c, 0x223d4bcb, 0x123130e8, 0x9abbdad9, 0x83de82d9, 0x7da2174a,
+    0xc9ed44e6, 0x1d4e247a, 0x270b3ad3, 0xb892a3e6, 0x76675bad, 0x2d7cb6e8, 0x8b998f52, 0xa672e094,
+    0xe9aaeb5d, 0xb7b46e75, 0x837ac293, 0xb19fe506, 0x6d08b606, 0xd4daa22a, 0x51730ce2, 0xb5bb9b2b,
+    0x45cecce7, 0xd98bdff9, 0xa2550722, 0xf062ac51, 0x74003b2d, 0x3cee6636, 0x1f58d724, 0x24bfa2c8,
+    0x7b80d146, 0x1baf37e5, 0x619afb40, 0x032ada96, 0x4fd49f62, 0xa0e7b3ed, 0x78577e88, 0x527c8362,
+    0xe5242f3d, 0x772ba242, 0x710996c1, 0x4f68dafc, 0x00389836, 0xa2406758, 0x883c68e6, 0x6b5d5bff,
+    0x9485b360, 0x0ae6417d, 0x4f0379e4, 0xfb9e45db, 0xa32b5304, 0xd8fa89ca, 0x3ed1f57e, 0x5e6ef5cf,
+    0x1d4d9f41, 0xa9fd3495, 0x67c41b49, 0x5869ea82, 0x18664e00, 0x28546c62, 0x00344f40, 0x6342c6dd,
+    0xc89f550d, 0x45c28395, 0x3cfbed0b, 0x590bb7a6, 0x022a9c70, 0x32086880, 0xd9c202fb, 0xa03f450f,
+    0xe28982a6, 0x4ed343dd, 0x119b624d, 0x325d8fb5, 0xcda3f77d, 0x08f54a7a, 0x36f997c0, 0x620ab060,
+    0x746d7dec, 0x213d5e17, 0x9f023419, 0x50c0fe3b, 0x0de2237c, 0x8245a1fe, 0x87ffa666, 0xbb10cb39,
+    0xaba445c4, 0x3c4c87b5, 0xf234aa39, 0x75b67529, 0x3f52cb5b, 0x58ab4447, 0x8c3b3299, 0xc43e3c59,
+    0xd0645cff, 0x52cc4e60, 0x0731f4fc, 0xa559d002, 0xd13d8e90, 0x03099c3f, 0xc9f1886d, 0x7a0badfc,
+    0x139d0e42, 0x82355558, 0x76dbfcc6, 0xd7906e41, 0x98889482, 0x0359f363, 0x8110fa3c, 0xf7c50a9b,
+    0x19842989, 0xa330b51c, 0x62fee8ad, 0xf8010412, 0xe1f69299, 0xd92f6b75, 0xe12bd94d, 0x87191cdc,
+    0xfd476faa, 0xe2840054, 0xba43a7d1, 0x28fd7964, 0x03e83229, 0x7926b210, 0x12e3a022, 0x73156369,
+    0xc7571425, 0xcae3dfda, 0x0a281183, 0x5a828715, 0x0036511f, 0xbb2efeb7, 0x0b46022b, 0xa7e17b79,
+    0x6d006597, 0x784057dc, 0x3b58f5bc, 0xa4948900, 0x84684722, 0x889038fa, 0x26b4c5e1, 0xf1979c3b,
+    0x0d44b8b5, 0x2e1f28b6, 0x3d489f40, 0x677e8bf9, 0xdd86118b, 0xb9a29b20, 0x4796cc1a, 0x95dd242e,
+    0xf8f35a6c, 0x1b2e0a94, 0x70a6aae3, 0x2815f3e9, 0x67942584, 0xe9818e05, 0x06e02d48, 0x354e6971,
+    0xc09f95ab, 0x27b9195b, 0x7152a06d, 0x952c2465, 0x78f3a026, 0x7e367550, 0xd3d2bcf0, 0x4fdaf481,
+    0x1398c125, 0x82645b51, 0xcebec2bb, 0x5e0fd7bc, 0x4c6ccec0, 0x3bb58a9e, 0x236c6c6e, 0x3c4c1503,
+    0x033a9720, 0x5f48b6af, 0xa68e0d7f, 0x1652737f, 0x66be2d4e, 0xffbb51a9, 0xc1668f3f, 0x767128ae,
+    0x3229a3a0, 0xe8169cf6, 0xeb8d2208, 0x43c84382, 0x3977b92a, 0xd17e2fbe, 0x06ef17e8, 0xd5cdead3,
+    0x7f8acca4, 0x085e8c28, 0x24694fe2, 0x8b7dcbe6, 0xa364d5e1, 0xff4f6245, 0x2c83fda8, 0x395ddd87,
+    0x1958e367, 0x3d06c85f, 0x2117f856, 0xe066882c, 0x7b048253, 0x2bb87c18, 0x9c603700, 0xc5803432,
+    0x74ac60fd, 0x0d2d494a, 0x28c7152d, 0x985b967a, 0x99df9f21, 0xcd413d46, 0x863943dd, 0xc8e69d9d,
+    0x89760e6a, 0xa21297f7, 0x4866f947, 0x372f4d33, 0xa63d8e7f, 0x1b7d016c, 0xff2f6d33, 0x73001eef,
+    0x6acff236, 0x41d96e8d, 0xc215adba, 0x8b34d58a, 0xe2aad218, 0xa0ca497b, 0xb4047ba6, 0xac630070,
+    0xa9a8a03c, 0x0d534555, 0x2d644d63, 0x8233c79e, 0x5c44d9c8, 0xa536aa09, 0x3f838589, 0x6b104d12,
+    0xf624816d, 0xfb990a15, 0x25d3f05a, 0xa5a2a4d9, 0xa84faaf9, 0xf6b18f4e, 0x69adf4de, 0x40404260,
+    0x7f40cef7, 0x4b146856, 0xb69c6edc, 0x7bee15fd, 0xce047d36, 0xb5c9fdaf, 0x3227e7e9, 0xbb9f2b03,
+    0x42b442da, 0xf7590744, 0x24efbc37, 0x9ecf219f, 0x28c7325b, 0x606f29ae, 0xe88f601c, 0x98715bca,
+    0x3a8b57eb, 0xb7613a0b, 0x71f0bc43, 0x74230fdd, 0x8227ca81, 0x1b61fcbd, 0x1da3fb5f, 0xd7c46a3f,
+    0x712e61e8, 0xd6477003, 0xef630bdd, 0x03b8b5dc, 0x31fd42a1, 0xeaec20ed, 0x0d895713, 0x176a5d8a,
+    0xead8a83d, 0x8c87e0a5, 0x09068642, 0x42256104, 0xf6f33f23, 0xdf435504, 0x56450b07, 0x32be4835,
+    0x2f5a7c3d, 0xbc49a251, 0xa2ed69f5, 0xbedcbb44, 0x2cd77a8d, 0x3696a090, 0x83a9fa96, 0xbcac2b07,
+    0xe747c308, 0xeb1af354, 0x4835e19a, 0x67a36b5d, 0x5b29f07f, 0xdc9a5283, 0x92e5c21c, 0x0c642281,
+    0x3c05a5d9, 0xf8ecab39, 0x55bf7e5e, 0x03dc9a0e, 0x606ad9dd, 0x183318de, 0x7892e95c, 0x42e95ffe,
+    0x74235416, 0x4d19d9e4, 0xe938c4bb, 0x17fb9b49, 0xf879d2c2, 0x0b4c39fb, 0x634ffa73, 0xdd5ff25c,
+    0xc10c9522, 0x7592903c, 0x1abe9a00, 0xb182e99b, 0x289c67c5, 0x92f63391, 0x0619fe4e, 0x92fb7b5d,
+    0x74c5204a, 0x4de22161, 0xd7907396, 0xf0ae8d40, 0xa789ffd2, 0x670f241a, 0xb71ad227, 0xe3e737fd,
+    0x2cd4e289, 0xc836e0b1, 0x3dcc21ed, 0x74cbe703, 0x70a62941, 0xcda14798, 0xecf5a95c, 0xcb9338e6,
+    0x6d27de86, 0xd010656d, 0xdaa6ba07, 0x7b12169e, 0x739f04ec, 0xe37da304, 0xaa6ff48a, 0x9214eca4,
+    0xf8d4ee75, 0x2ed937c4, 0xb0c0bc99, 0x702ab2dc, 0x3f1d2ee4, 0xb1dd2117, 0x0583b64f, 0xde2747e1,
+    0xa2d7ccef, 0xdd7b0f90, 0xf79eadce, 0xb7e973ad, 0xef3da228, 0xdad34527, 0x56a1936b, 0x369c42fc,
+    0x1bfea4ee, 0x1c9a5774, 0x0c7ea643, 0x76d52a9a, 0x89698a7e, 0x4c42269f, 0xa3f02fca, 0xf11bdf50,
+    0xa2ce11dc, 0x1cf5d651, 0x0c8ff657, 0x56971568, 0xc5e54f9b, 0x3ee07222, 0xb074a4ad, 0x186a87a4,
+    0x0e4be874, 0xecd4088d, 0x6407e1b6, 0x50adf48a, 0x08854ed7, 0xb8bb0c56, 0xae100e26, 0x5602a8fd,
+    0x13f0ce6e, 0x3f375b1b, 0xbeab012b, 0xd47978ee, 0xa7680581, 0x8499df1e, 0xe45e7fe1, 0x0a7521de,
+    0xc46399a6, 0xb800607d, 0x1008ec03, 0x896bae0f, 0xe89a400e, 0xba95da8f, 0x4cb0600a, 0x5abc63db,
+    0xc71a440b, 0xe3242ea8, 0x7504b24d, 0x7461781b, 0x2ea1615e, 0x4d78aa2c, 0x407f863e, 0xa0006dc6,
+    0xeac7bd6e, 0xf066de1a, 0x928eeea3, 0x52e8d84b, 0x24063466, 0xc498b598, 0xedc0cf95, 0x64edf996,
+    0x36d2fb29, 0x4d7c2866, 0x81a49da4, 0x9c0d3e0c, 0xb4e4a4bd, 0x497c313f, 0x19a6b5f6, 0xab21ab93,
+    0x007eb171, 0x5cdcc046, 0xf7d48fd2, 0x069e4a15, 0x1e6e3a12, 0x5cdb7807, 0x561952d2, 0xe50febc0,
+    0x81f89126, 0x920babc6, 0x6d904727, 0xd0681774, 0x0a6cc057, 0x4c42a5a7, 0x9eb34677, 0x868eb382,
+    0xcaf96c59, 0x42dfd54f, 0x22e2b405, 0x56a428e6, 0xdd1c6e7c, 0x7b919be7, 0x145897d6, 0xbfcecd01,
+    0x6d4eb5db, 0x91e48f21, 0x53a3d83e, 0xb67a9e7b, 0x4c059b4d, 0xff8af31b, 0x194db7c2, 0x28f317bb,
+    0x2dbdfcca, 0x0db9c035, 0xc86a71fa, 0x05d42e10, 0x1b42caa0, 0xf22233fe, 0xbe13f832, 0x78c3f2ff,
+    0x49bd4496, 0x89947e3b, 0x70377825, 0x92a8d668, 0xc8fec9e5, 0xfcadbe2e, 0xdd67047e, 0xc2bf94c2,
+    0x2b02e019, 0x30fee66e, 0xc87a6d82, 0x83f7082d, 0xa48be858, 0x3945b340, 0x38abdeab, 0x0d632b83,
+    0x1f2fa357, 0x5ac33160, 0xd57f2297, 0x780e6949, 0x6c229497, 0x3923ca59, 0x9de737a4, 0x6cb0847a,
+    0x4944f7f2, 0x1a21540d, 0x8cddfac0, 0xb04cdac4, 0x63b53cfb, 0xf55076fa, 0x2e8e44d9, 0x2d9d4224,
+    0x89408560, 0xaf2bb418, 0x526ea76a, 0xbfd3be13, 0x0710b415, 0x216fdd47, 0x6e6cd6c9, 0x2a3054d3,
+    0xbaca7a5b, 0x4a7c489c, 0x065b9998, 0x37e5dc22, 0x87825c54, 0xac388af5, 0x5693623f, 0x9145b70f,
+    0x4630a8b5, 0x061889dc, 0xbe8feae7, 0xb3a51f09, 0xb800d8ac, 0x71ce5fa0, 0x179687bc, 0x00a34080,
+    0xb63404a9, 0x6678d55c, 0x8c03881d, 0x97ead355, 0x6995f5ed, 0xbc10a94b, 0x66cc3e78, 0x189734ea,
+    0xe8da3429, 0xdcfc3dad, 0xdfb44d63, 0xb48c8ad9, 0xc65618f7, 0xfe6b957c, 0x072d9842, 0xd0e70786,
+    0x3fdd3518, 0x1476852b, 0x5c224787, 0x75deaa2a, 0xd976cd24, 0x07f3364c, 0x01e37015, 0xb7733500,
+    0x2aac91fa, 0x25898db6, 0x7655171d, 0xb7d540fb, 0x53a47bcb, 0xdb118fd7, 0x49fe81a0, 0x34f80911,
+    0x223f850c, 0xb84a2cdd, 0x3bfc557c, 0xb8ebe1b2, 0xd0bffeea, 0x705c60c5, 0xa6c50214, 0x19b66ac5,
+    0x92e532e5, 0x77f0f3c8, 0xf06ce422, 0x0090905e, 0xe9d20fae, 0x46b521f5, 0xe26b737b, 0x9c19b3be,
+    0x45a299b2, 0x4aa83982, 0x6679838e, 0x2a707ed1, 0xb2ad260e, 0x40113e9e, 0x11a08dd8, 0x64ae402d,
+    0x559053c0, 0xb5d1d19b, 0x73e9df3d, 0x2852fc11, 0xd1e095cb, 0x038a90e2, 0xf40dbb70, 0x22d53f3f,
+    0xf709daa8, 0x4864a063, 0x632fbc1a, 0x2c83695f, 0x0ffa600c, 0xfa64b6f6, 0x4623cec4, 0x3105ca0f,
+    0xf999c3d6, 0xf17e0747, 0x28c7b1c2, 0xa34b1613, 0xe9bca099, 0x31cd84d7, 0x650b8920, 0xde742417,
+    0xaf183821, 0xd85f6810, 0xcc066f0d, 0x59588a09, 0x0a8b3d7a, 0x6954f088, 0x195a41ff, 0xd1a30a2f,
+    0x125d4b6b, 0x69ee7dd8, 0xadefbd53, 0x7b270aa8, 0x5a1494d7, 0x56e14a78, 0x67e6476d, 0xa5a19d4c,
+    0x6fb6adb7, 0xd9aff5b8, 0xd1d474a7, 0x1e3918c7, 0xc9511b92, 0xfffe9811, 0x4fd8bbbc, 0x91f09b9e,
+    0xb20ab9ef, 0x22ca1d6d, 0x9855ffe9, 0x5b925424, 0x77085328, 0x8db1effc, 0x8913d708, 0x204b5e91,
+    0x0ad71ebd, 0x8988603a, 0x9ec3013e, 0x7a436db8, 0x3ef5ea95, 0xdef64f6e, 0xbab39726, 0x04229514,
+    0x97782574, 0xb4d22a99, 0x4bf9e5bc, 0xc948397a, 0xaf198bbf, 0x63b14e8c, 0x29f82d84, 0xb47c086c,
+    0x22cd86ff, 0xdda43e71, 0x2ab1f722, 0xb07eeb25, 0xed860691, 0x2bbdcc1c, 0xd9d30bab, 0x0b5338eb,
+    0x3834fd77, 0x7d452951, 0xa377aed8, 0x54a483c8, 0x07c7509f, 0x59b13ab2, 0x93a22456, 0x2e48a45f,
+    0xbe416f46, 0xda573b13, 0x009cc60d, 0xa12bef34, 0xa3b67958, 0x7fbfbb37, 0xb467f33c, 0x513bf0aa,
+    0x9a75f73f, 0xdfdb95ca, 0x34665f78, 0x46c444ed, 0xe7126a5d, 0xe13bbe3d, 0x78eec646, 0x5d5c76e7,
+    0xe13cb44b, 0x858a996e, 0x23a65292, 0xdf44cfaf, 0x94994053, 0x7e3f875c, 0xe43031f7, 0x61bddff6,
+    0x8951b8bf, 0x811e1dd3, 0x504ec0bf, 0xfd5a4d0f, 0x22f008d5, 0xd3158923, 0x1d39f968, 0x70601571,
+    0x6014a9e8, 0x4ca9711f, 0x188bdf1b, 0x6ddd217e, 0x4c99cab5, 0x9209eee2, 0xeccf8609, 0x1827b704,
+    0x08ecc365, 0x4f8ce0ec, 0x1d9a96a8, 0xa6a62fb5, 0x45f3f89c, 0xf0b85712, 0x0ad14ee1, 0x3b76cdd5,
+    0x76a72beb, 0x6cce8203, 0x56eaa9aa, 0x2813b7fe, 0x0b19f0e3, 0xc5189d30, 0xf06b594c, 0xd1df9322,
+    0xf887dc22, 0x99b57b1b, 0xf9b8284e, 0x1cb5cbb9, 0x40319e0a, 0xa0ad4028, 0xb58e5a9b, 0x5bdf7d5d,
+    0x73851e56, 0x980b84de, 0x454acb78, 0xeb0fcd69, 0xc7cc039b, 0xe30af5db, 0x2e99597b, 0x4d9e295c,
+    0x5318197b, 0x1a6b76e0, 0x38856223, 0x4e6a8252, 0x9964d62b, 0x237c2f58, 0x7804b09c, 0x669f8913,
+    0xf01f630d, 0x8fd87f48, 0xce22572f, 0x07396eb4, 0x66a7422d, 0x0c43bd9e, 0x767dcdb5, 0xaf8f831c,
+    0xb3c5db01, 0xf78d0c50, 0xf0246e37, 0x0379b363, 0x40b67416, 0x07642ca3, 0xbdd30c7f, 0x8e318540,
+    0xcd9267df, 0x1fc20d47, 0x2433c8fb, 0x11452527, 0x892d373b, 0x0d5d5dfc, 0x8feb96c6, 0xce767237,
+    0xde1a869d, 0xc45ced3b, 0x1be0171a, 0xcf4a1d97, 0x4bdf28e7, 0x6f3d3dc9, 0xe4b415c9, 0xc87a993c,
+    0x9242b276, 0x4bdffae1, 0x9ac65141, 0xfe529e9f, 0x5b3e4231, 0xda96f22f, 0x9d4db464, 0x30889140,
+    0xae2915a8, 0xf3c2762f, 0x60f2fd80, 0x292851b4, 0x22e6600f, 0x9a2d18c8, 0x781fec54, 0xd222f897,
+    0x93dba6b4, 0x163a0b40, 0xada6639e, 0xabd8f9a7, 0x3d034224, 0x63bccb2e, 0x6b418a9d, 0x50c652c4,
+    0xd00d6ca4, 0x6c3b29c1, 0x54b0cd02, 0xd4a05b8e, 0x3578d2e8, 0xcae6ef08, 0xc36d5cf9, 0x862c4722,
+    0x5c077ff4, 0x5da2bfc0, 0x2d03ee65, 0x774f2604, 0xea91f5ee, 0xa6923d63, 0x1d2f6c06, 0x3a97785e,
+    0x2792d71e, 0xf92177f1, 0xa3741acd, 0x7870f0d6, 0xc7c7cdc7, 0x452abeae, 0x6108ef2f, 0x6c1d8de5,
+    0x5034e19b, 0x122bf836, 0x66935480, 0x665efdac, 0x61d92700, 0xdfcd4397, 0xbc7a591d, 0xce6bafa6,
+    0x2a3d3a9d, 0x3d01cec1, 0x61ecb638, 0x135027ec, 0x7d140860, 0xdaa30ebb, 0x236c6d0a, 0xa1cefa2d,
+    0xfce5d5ba, 0x1792a345, 0x0501a7de, 0xa50c3250, 0x6fd89d1f, 0xd2cc9723, 0xca87e03d, 0x2f25886a,
+    0x7372feba, 0x1d93812b, 0xc2d43149, 0xb868a076, 0x825e0aec, 0x4e166c0f, 0x219fbd61, 0x03fc3a3b,
+    0xa6ba9e7d, 0xf41aacea, 0x9e577406, 0xadb0dfe2, 0xba26d5b8, 0x28bc9228, 0xda415215, 0x08db1087,
+    0xff811542, 0xce6365ca, 0x2fa7eed1, 0x374ac078, 0xb89a7d6e, 0x75397d8d, 0xc8749a27, 0x8cd24491,
+    0xc1bba05a, 0x433f2f13, 0x8562dd71, 0xb2a9b7e4, 0x9a94a023, 0xa213917d, 0xfe62fccb, 0xcc23fc78,
+    0xff3d4e18, 0x4896658e, 0xe2bde7e8, 0x0f99fc1c, 0xc746aff0, 0xba8161d1, 0x4808467c, 0x2b78e776,
+    0x26c7b270, 0xcc63ea37, 0xf4d6b732, 0x29f5163a, 0x851aa2fe, 0x6173e3c3, 0x607e547e, 0xa171c4a7,
+    0x1af899a4, 0x3d6f5449, 0x7fa82b95, 0x903309e0, 0x3de604cc, 0x5117f6ba, 0xe2e2a0eb, 0xdc2fe290,
+    0x382d135c, 0xbf39c780, 0x2a62ce7e, 0x1efd6eea, 0x7db58e0c, 0x55282446, 0x7fc4b46e, 0x4b36ee3b,
+    0x93d9fe5d, 0x4fac470e, 0xac7b3bde, 0x123091ad, 0x6adabe36, 0x59c73695, 0xf2dfa00e, 0x8486748b,
+    0x2abd2273, 0xe1a805c8, 0x1d559357, 0x7fcbfbfa, 0x67ea509e, 0x600b49d1, 0x159c76e0, 0x18d5928b,
+    0xea4e8b0b, 0x57c746d4, 0x1e07aaa4, 0x86180c2a, 0xd7dc8ddf, 0x25283afd, 0x25877501, 0xed3576b0,
+    0x6b8d6c6f, 0x498b5bfe, 0xde1e54f1, 0xecc02bac, 0x24276ef9, 0x201fb9d9, 0xd840068f, 0xd7f1d139,
+    0x87c76bd8, 0xb715d945, 0x4db995e7, 0xe6361276, 0x66607eed, 0x55740ac4, 0x5991cb06, 0x75adc342,
+    0xbe02fc8e, 0xf73d76b2, 0x9bbc58fa, 0x1c058bbe, 0xb1016cb3, 0xa110e78a, 0x50035e3b, 0xb7501112,
+    0x66982157, 0x4d7c95a1, 0xcef4e20d, 0x1b77ff2b, 0x3d07612d, 0x6c9c6a0f, 0xd50835ac, 0x47d9faf1,
+    0x3c10ec8e, 0xb1a70a67, 0x1d78b21e, 0x70a5851a, 0xe520e792, 0x2da3c50b, 0xdb8b0d4a, 0xf37d5737,
+    0x70415327, 0xa47f4a06, 0x3f7fe91c, 0x4c816269, 0x24acf2dd, 0xc36e5d87, 0x826e1919, 0xb3859df7,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000022397447421778042105574422\
+                         80568444278121645497234649534899989100963791871180160945380877493271607115776 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e,
+    0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cf0, 0xb3a0cca1, 0xfbd3baa3, 0xe747c496,
+    0x00000000,
+    0xe4203899, 0xd39e977f, 0x29913a26, 0x67ec44e7, 0x0640e8d9, 0x92025549, 0xe82b8cbd, 0x92390350,
+    0x1255054d, 0x84c88e6c, 0xf9684faf, 0x8763a4c0, 0x9f69708c, 0xd54c192c, 0xc6c37831, 0xc48ab8d1,
+    0xae64f91b, 0xa993a531, 0x78ec97f3, 0x766082d4, 0x9d43d55d, 0x7c048eb1, 0xa704b1f9, 0xcaef5d4b,
+    0x08289ee9, 0xc9a8bee3, 0x48ab2ce7, 0xfa06ecc8, 0x0bdfc981, 0xa821d048, 0x4b1b8764, 0x3e4579da,
+    0x4faad535, 0x16194b1f, 0x7450e304, 0x7965bee1, 0xcef100d7, 0xac3e97ba, 0x8d3d3f15, 0x129c9565,
+    0xbbd287a4, 0xfad39870, 0x0e5b380c, 0xb6ff12b3, 0x4b61ead0, 0xd4c8ff3f, 0x77132794, 0x5726d4c6,
+    0xbd1a9968, 0x27b1df8a, 0x89770ee0, 0xbfef1382, 0x44dfe3b3, 0x63ca312a, 0x59ae36bd, 0x14ad219f,
+    0x94caffa0, 0x5b1aceed, 0x06e8330e, 0xfce35f48, 0x1cc6017a, 0x772e703b, 0x7708ba38, 0xe61524f2,
+    0x796881ff, 0x206206fc, 0xf11e0c03, 0x5d220984, 0xc19cfbdc, 0xa78d580d, 0x822cff0b, 0x94109d73,
+    0x48eebc8a, 0x17d72e01, 0xcb0adcc3, 0x4fe89caf, 0x28016dfd, 0x62842be1, 0xe098c99f, 0x80ad0c9f,
+    0x69f94d16, 0x5d5fb5cc, 0xf3350b2f, 0x67c5aa5a, 0x8034c648, 0xfd6513ed, 0xad779437, 0xe9861914,
+    0x7afddc55, 0x03205a34, 0xa168ef39, 0x89f6ed30, 0xa29b781b, 0x2fcd9a97, 0xfd7f966e, 0x4fb46259,
+    0x43de513f, 0xc7d19af3, 0xe42d2116, 0xf6886e25, 0x081b4844, 0x112dcc4e, 0xb0eed751, 0x0c9a6c8b,
+    0xc0751dfc, 0x7a8a6c55, 0x60611575, 0xc37a2795, 0x6d94ce62, 0xb2dab162, 0x34b4857b, 0x360b9d6d,
+    0x40fd7b6a, 0x406de330, 0xc7a8c8d4, 0xd43905e6, 0xa8f38746, 0x65f60a1e, 0xe7d74b13, 0x5833f564,
+    0xd6b9deec, 0x788e63bf, 0x9e865a22, 0x4de84257, 0x5b8149df, 0xcb5a19bc, 0x499860b8, 0xa186a459,
+    0x9edfff51, 0x76511881, 0xea558ca4, 0x9b51b118, 0x98092809, 0xe74466f0, 0x2de85fd5, 0x936f8888,
+    0x6cf2fad8, 0xb5f013a7, 0x1df14202, 0x98634269, 0x023bab73, 0xb65c985d, 0xf35cab2b, 0xaf7910c0,
+    0x1ede75ef, 0xc9890959, 0xfdc7b7c5, 0x7a7d0433, 0x848373af, 0xa7e6b91f, 0x065840f1, 0x386818a9,
+    0x6980acd2, 0x6939f809, 0xa457820f, 0x9e72319e, 0x5b090596, 0xc555848c, 0x8b5d1180, 0x5da9d1ce,
+    0xebbb1040, 0x054dca6d, 0xd6bf1a29, 0xc9e1dad4, 0xfaa8a94c, 0xef78bd14, 0x246b21fc, 0xe1749973,
+    0x7ebacd51, 0xab41c5c7, 0x8ddc46a2, 0x76d86cd1, 0x833ff768, 0xa2da33a1, 0x3faf44ad, 0xfa26e86b,
+    0xc08a838d, 0x9d9a148e, 0xb00290b9, 0x3a6b292c, 0x7a712f5e, 0x9311df6f, 0xbbd39c78, 0x5500579d,
+    0x3d9c4539, 0x497cd603, 0x386ad5bb, 0x8fb10231, 0x5b66b000, 0xc93cf5d4, 0xc5a76688, 0x9e58630f,
+    0x3f798461, 0xd1161b3e, 0x63f59f7e, 0x62c5e6fe, 0x3730034a, 0x5b4ac521, 0x8cd2a820, 0x62571a8e,
+    0x09afb638, 0x4e12d02e, 0xb8732e63, 0x3b348530, 0x3627a1b6, 0x8222c72c, 0x1fad5395, 0x20450b49,
+    0x1a253551, 0x41126daa, 0x52c40ce4, 0x8edbc576, 0xce4df11d, 0xcbc01c16, 0x696d2b80, 0x2be725bf,
+    0x1736393b, 0xf871126d, 0x2acc94be, 0x53407a8f, 0xade42557, 0x9bc18dba, 0xbfbf87b7, 0xceae2a2b,
+    0x0a8c6d80, 0xb46e99c5, 0x466f1128, 0xd9b5a532, 0x946e205f, 0xc8404c70, 0x010722ea, 0x6e11bce4,
+    0x56245d74, 0x6aebb947, 0xb008a59a, 0x64f044ef, 0xc0c0a008, 0x34ae8cfd, 0x0566631a, 0x0efcefc1,
+    0x379383d3, 0xbcd1c7b1, 0x92121acb, 0x0762e760, 0x139a02ee, 0x61d8474c, 0x95308b01, 0xb384a748,
+    0x3d48981f, 0xd44b9167, 0x8b0cfc88, 0x036da40e, 0x26d79774, 0x70caa9a0, 0x2ad883ba, 0x7bda6e53,
+    0x1276f418, 0xa1c40839, 0x9aa6eff7, 0x68187a47, 0x28d7b735, 0xd0177325, 0x46bcf182, 0xb1c85240,
+    0x01beac0e, 0x72aa8d9c, 0x09befd58, 0xe6d36e74, 0x44bca9a2, 0xe31495e9, 0x47e1f32b, 0x3d543178,
+    0xfc3defc5, 0x87afdd67, 0xe13f154a, 0x24fb4532, 0x1d1cc040, 0xf6908c3e, 0x6f798e92, 0x53366ac7,
+    0x4cba4993, 0x4a65f489, 0x9d4eba1f, 0xbec13af8, 0x657e8640, 0xa7d583a0, 0x521601af, 0xe0404e9b,
+    0x2be564d5, 0x64856a2c, 0xe53f69c7, 0x5d3c535f, 0xaf1d4d68, 0x6be5b5b0, 0xc064d149, 0x888c09d6,
+    0x45460848, 0x1b74c6a3, 0x5ce70ff7, 0x3cb14ad3, 0xc2a06363, 0xd57a295c, 0x8c75f163, 0xe26a6d93,
+    0x61301f8a, 0xd3646294, 0xc8bc144d, 0x07657b86, 0x5747a36f, 0x10bb789a, 0xa9a8718b, 0x5ee0708f,
+    0x1187b6fd, 0x31ccae76, 0x53d7dca5, 0x5f80ae14, 0xc340758d, 0xa1dd9a17, 0xf477d5e9, 0xeb1cce02,
+    0x81ee9d99, 0x35ed808f, 0xc9762e21, 0xd8ea5fc0, 0xc4b7d29b, 0xbb5b4b08, 0xb90c5867, 0x9157eda6,
+    0xf458a4a2, 0x7d4d65e4, 0x887348f9, 0x6b2c61fd, 0x2ab19dd9, 0xced00280, 0x2376f3fd, 0xe6678a9d,
+    0x10bebb7f, 0x71ae5813, 0x6ae9b37d, 0xa7ee72ef, 0xda8dfc9c, 0x05ae9ebf, 0xb83edc38, 0x374b53c1,
+    0xb1baf902, 0x5a9acb66, 0x614c37d9, 0x6240f190, 0xe554c8b7, 0xc09c8ec3, 0xd53821b4, 0xcc96e4ac,
+    0xadc92b4f, 0xfd608183, 0xac5cd5cb, 0x63a64909, 0xa34cf759, 0xb3c0e1d7, 0xe29e781d, 0xe19d7272,
+    0x520f8979, 0x3ccf7c3c, 0x4d59a89a, 0xc02758ed, 0x74ba9889, 0x2e2604c4, 0x5ce0c798, 0xe1edbbbf,
+    0x53d2bdbd, 0x1532be09, 0x0ae760e8, 0x924b3cd4, 0x0506980e, 0x0ac32043, 0x59bc4d01, 0x393ba8db,
+    0x6c84b6a7, 0x1422ba7e, 0x54669c71, 0x019354df, 0x860d347d, 0x42ff921b, 0xb4f57034, 0xe3136311,
+    0xc7684709, 0x10fab505, 0x3909814d, 0xd96893b0, 0x07f53802, 0xcfbbf810, 0xdbe5f930, 0x645686e0,
+    0xa1902df3, 0xd15a40fc, 0xec14cc4e, 0xb08a4c14, 0x50b7fb55, 0x1210f71e, 0x46bc898b, 0xdc63264d,
+    0x638ccad7, 0x52a92dcb, 0x08a01fec, 0x7e03fead, 0xab81bc0c, 0x8b6b3520, 0xb1a1682d, 0xe4e60fc9,
+    0xad95c646, 0xe738b6df, 0x2425ea5e, 0x3364c46b, 0xebe2ca4c, 0x69280e83, 0xfeeb72b4, 0x4f996f12,
+    0x950c6cac, 0x6eaf4595, 0x5f5c62fc, 0xa51ceebc, 0x1358c590, 0x12fc01fa, 0x807122cf, 0xcfcf6aa0,
+    0x55ea1bcd, 0x5f853783, 0x8db72ba0, 0xb1be540e, 0x0a0914c7, 0x8b5954f9, 0x49b7a0b5, 0x3817a538,
+    0x089c41ea, 0x69739a76, 0xc289aedf, 0x4a846700, 0x00f7cd79, 0x33d7eee9, 0x97e5dbfc, 0x84dabe5b,
+    0x428a7c76, 0x249e12c0, 0xac41d4e2, 0x6ddd9361, 0x155b447c, 0x5d9d0f0c, 0x71a9e24c, 0xbc92fd02,
+    0xa8300260, 0x6585daac, 0x7576e6f8, 0xf50876da, 0xececaae3, 0xdfe16720, 0x933fa279, 0xbca8b319,
+    0x4c0d52eb, 0xc65ad9b8, 0x585c6eff, 0x69e7f26e, 0xd0aff340, 0xd9c9be6a, 0x79d23517, 0x8d393638,
+    0x85758757, 0x2a3ca0f3, 0xbe36d0f8, 0x7cfc1136, 0xae682195, 0xb8781773, 0x762b5573, 0x4df75c29,
+    0xc4ffa501, 0x2b14314a, 0x6f5ae6e6, 0x3ae9bc40, 0xe6275d30, 0x9b514573, 0x03735c25, 0x71a18349,
+    0x713f2a99, 0x0c698146, 0x6ff69d96, 0x7de53499, 0xf512732a, 0xfb87d564, 0xd4268dda, 0xcf37b53f,
+    0xb217e040, 0x64ee090d, 0x1e52c7eb, 0xd9b0cde4, 0xbdfff04b, 0x3ef51ae6, 0x6d6ee817, 0x612baba9,
+    0x3e8185d7, 0xdd32a7ea, 0x6ccac7e0, 0xe0a094ae, 0x5d6b645f, 0x7831e620, 0xa36028c9, 0x06fd2b10,
+    0x9d993dd6, 0xb32ee8f8, 0x52e9b1ac, 0xd0166135, 0x33c239eb, 0x957ac1f5, 0x3ea07ee3, 0x447b58a4,
+    0xc79d8d79, 0xe0770121, 0x1a51cf1e, 0x59161dc9, 0x424ae79e, 0x3ed68130, 0x76fa4c0c, 0x1841e84e,
+    0x8a7afe27, 0x75ea3c99, 0xff84dada, 0x2ccf137b, 0x4bcc3fb3, 0x088b8e69, 0xd73f05d4, 0x582f03aa,
+    0x2f60548e, 0x4a153b14, 0xe23ffeb0, 0x870e24d1, 0xa7376a0e, 0x37c4abb6, 0x81cd6240, 0x0eb71c1b,
+    0xfe7a98f0, 0x2cf775e8, 0x50dce2a3, 0x209f71d9, 0x8a96f03c, 0xcf5ec584, 0x6d1fff57, 0x54835b24,
+    0x162c1f5a, 0xead732e8, 0x6e1cad89, 0x48a4cf26, 0x618a74c8, 0x7f046348, 0xbdc250e9, 0xd690bfef,
+    0x587b4e41, 0xd965e828, 0xd6bc3863, 0x335476da, 0xc5685ae5, 0xf9c8f3bb, 0x365a0c32, 0xceeb8cee,
+    0x97978479, 0x5005b9d5, 0x1b9e09d0, 0x7741b472, 0x306099cb, 0x23043593, 0x205c2959, 0x65d09d1c,
+    0xe87f863a, 0xa190b334, 0x2b4b1d83, 0xd66743ea, 0x9ab57271, 0x12981793, 0x5c7a0ea1, 0xea7ceb9c,
+    0xcee72b3d, 0x2081a719, 0x1df0771a, 0xa2cd19dd, 0x96075024, 0xa40de9ee, 0x2524fe10, 0x2032e28f,
+    0xe85dff64, 0x60a2e6fa, 0x4b912d8d, 0xdae1be97, 0xa3de98f5, 0xb172e84a, 0x5c51a037, 0x1cfbd52a,
+    0x6d7f40e2, 0x90a90fa3, 0xd350bf61, 0x93ec04f9, 0x05acda8b, 0xc5b38a40, 0x4a499b4e, 0x65de1a52,
+    0x63c53260, 0x727060a7, 0x5a968079, 0xfd3bc3aa, 0xa6d995ac, 0x63fb43ca, 0x37dcc97d, 0x61e1f3b0,
+    0x8ae81c51, 0x47b38ae9, 0x3586b33a, 0x184882b6, 0x9a8f0dae, 0x3a195d22, 0x22f27dd8, 0xcc78b582,
+    0xef865b55, 0x22b3dc36, 0xabbd7d81, 0x3f5ad7a3, 0x30f771fb, 0x736eff5e, 0xf0de5ed0, 0xe038b002,
+    0x52b3a0f4, 0x067b10ef, 0x13a9b244, 0x0ba96128, 0x7b57eddf, 0xc3b45552, 0xe127c153, 0xa6c801aa,
+    0xba66c085, 0xdfea8bd8, 0x5e34683c, 0x73de294f, 0x4302013e, 0x134c6996, 0xaa9f14d7, 0xbc28cee7,
+    0x8280e8d2, 0xcf1719dd, 0x6b528472, 0xa6d78df0, 0x951e8833, 0xdf7064b8, 0xda9e5ad2, 0x743f5a03,
+    0x2f289df3, 0xc8248da5, 0xedf9cb74, 0x00738ad3, 0xf51ca500, 0x964be6d2, 0x418c9595, 0x2db41afe,
+    0xdb7e407f, 0xa0f3d1d1, 0x25cef930, 0x78a3f81a, 0x96e2e234, 0x8e22938e, 0xab818626, 0x2869c10e,
+    0x6b46405a, 0xa9c68773, 0x53c467d9, 0x2e881374, 0x69795d09, 0xba074665, 0xeae38586, 0xe1640066,
+    0xfe0d7403, 0x91f17a7a, 0x7e92c9a6, 0x7bfa3a17, 0xbddbebec, 0xbd1b6189, 0x2dd7fbb4, 0x0a02435a,
+    0x3a94b96f, 0x494220fd, 0x2637deac, 0xdd0d96b4, 0x5ef1ae7e, 0xca1e7ec1, 0xec28e76b, 0xaa21f862,
+    0x81776bca, 0xb091057b, 0x02d1c5be, 0x1734661d, 0x8a4919b2, 0xcc79c9ef, 0x6889a71a, 0x4295711c,
+    0xb1947037, 0x68ca4e57, 0x3a5a5c63, 0x2c792d92, 0xc279c4c2, 0xee7daccf, 0x78eacea5, 0xe72db675,
+    0x03a4334d, 0x05d424f4, 0x0c9862d0, 0xe2626d1c, 0xb6caa7d4, 0xf1131408, 0xeeb14b19, 0x4c209d6b,
+    0x78f06354, 0x94d84b7d, 0x2f49fda1, 0x99a4fa2a, 0x30a7194e, 0x80bceb69, 0xc052f31c, 0xb70981cf,
+    0xcfcb8da9, 0xc76a4ccc, 0x8e64b57e, 0x1109d066, 0x03421c36, 0x97e03b6f, 0xd80cd98b, 0x626f3e74,
+    0x54bccc15, 0x29b15661, 0x741b07ee, 0xfa1fa64b, 0x05f7405b, 0xb2d7d517, 0x883110c9, 0xf9974f59,
+    0x750b5526, 0x2862bebc, 0xf0cf9217, 0x7a4d1c0d, 0xcae0eb2b, 0x1d70c095, 0xe9aa6ae4, 0x1fcedb87,
+    0xa6a595ae, 0x8c85ed38, 0xff63e3cd, 0x9fe8c3fd, 0xfc6c947a, 0x370e0bc4, 0x7aceeeeb, 0x3aea6587,
+    0x26fe0931, 0x78d44352, 0xcc196c8b, 0x8a36e3cd, 0x05f4969d, 0x506089e7, 0x2585383d, 0x826a9e1f,
+    0xfe004ac1, 0xf189e1cc, 0x2e919df3, 0x952479e9, 0x97d8d4ec, 0x72b6b616, 0xa0631c8b, 0x3d53a555,
+    0xc970401b, 0x33c98230, 0xdd76660f, 0x13002915, 0x47d67579, 0x0c59a7fb, 0x03a9bb9f, 0xac1cb5ac,
+    0x07cc1a6b, 0xb2c58efe, 0xefcf4ab8, 0x98d8198f, 0xba720b8d, 0x6ba1cb8b, 0xd8a3a399, 0x18ad9002,
+    0x6f598429, 0x312fcfb4, 0xfc63160d, 0x839ad343, 0xce62e4b1, 0x5e0e7453, 0x0273ee08, 0xf8679d62,
+    0xadc489be, 0x93d0f99a, 0x27ecc196, 0x20734992, 0x0efa5495, 0x26ec9240, 0x0388a5e7, 0x4829cb56,
+    0x21117162, 0xe4640e90, 0x3d685ae2, 0xaa599412, 0xee1f512b, 0xb6be4f55, 0xd33c143d, 0xa7dd89ef,
+    0xbbe74a28, 0xd7a35586, 0xe2b42ab6, 0x852c54e6, 0x826f8ac8, 0x91fa87e5, 0x00a433a2, 0xbc148053,
+    0xbdc8dd24, 0xcbe554e2, 0x2b9e7150, 0x638a655f, 0x67061333, 0x98795e74, 0x4012df3b, 0x8efba1ba,
+    0xb9234c98, 0x3a2e3bdd, 0x0e24fa91, 0xf1e112bf, 0x9be362e3, 0xb7f4344e, 0xd7763771, 0x394f307c,
+    0x8af15536, 0xa84f6b79, 0xac2874c0, 0x0d26e36e, 0x00a98ae3, 0xa3665e42, 0x3ef3fce5, 0x85e6aafa,
+    0x90f51f18, 0x2cbfa474, 0x95675c5d, 0x8fc3312d, 0x86773ad6, 0x31db05db, 0x825fe40d, 0xa4d3d475,
+    0x26d1af67, 0x6d81735b, 0xdc35e212, 0xc3006a60, 0x29ca6468, 0x1e0ecab7, 0xa27cc71a, 0xea54bc4d,
+    0x88730a85, 0x8021450d, 0xd4ac5790, 0x3c3ea69f, 0xcb699652, 0x7d7210ce, 0x16ee5860, 0x6239dabb,
+    0xd03b5fe2, 0x71be379e, 0x780640a6, 0xe318419a, 0xe4d9d125, 0xe217746e, 0x51efa781, 0x5c043712,
+    0x5a56fd4d, 0xfde85852, 0x5a0f6eac, 0x5dc73c80, 0x2c6f876b, 0x85fa7367, 0x12c907e0, 0x3653f523,
+    0x4979f6fc, 0x0a167c2d, 0x62efabdc, 0x48f923ed, 0xb8f79ef0, 0xc6e2b456, 0xb4595830, 0xbeb49f15,
+    0x5269051c, 0xfb474dca, 0x4108723c, 0xfb2680fe, 0x8ab22eaa, 0xd47e808e, 0xaafd3afd, 0xf671025f,
+    0x8a7f596d, 0x27a5988a, 0xc28e180e, 0x170b811a, 0xb5c9092f, 0xf0fca36f, 0x35c1ac25, 0x3f40f45b,
+    0xd10f9694, 0x85de002b, 0x14fe6926, 0xda90f203, 0xf8559b97, 0x089a7065, 0x4017ed31, 0x585554a3,
+    0xc52a907c, 0x1ae95300, 0x408b4a63, 0x2bda770d, 0x1d6a7502, 0x4fb97685, 0xb904e943, 0x18d135db,
+    0x6687480a, 0x6ed84f76, 0x362a4b70, 0xbbfd878f, 0x38e698d8, 0x1218e926, 0x40c7cce9, 0x9962bc6f,
+    0x6e53a953, 0xecd8ac08, 0x59a320b5, 0x62657e7b, 0x8f3ef303, 0xc695855a, 0x4dafa2c3, 0x429a141f,
+    0xeaf7d6bb, 0x066a4641, 0x2a3ce569, 0x622fd457, 0xfe4cc29c, 0x239aa741, 0xee6796e9, 0x2f92406a,
+    0xfc90a179, 0xb95ba0fb, 0x22ccaf2c, 0xb3e98913, 0x1aa5a8d7, 0xebf7a693, 0x59935da5, 0x14cfc47d,
+    0x54a75e7a, 0x0ee37792, 0x8652f030, 0xf34c4310, 0xa6845961, 0xa1cc0391, 0x6c9c34d7, 0x40e4b665,
+    0x37cab250, 0x6ec6209a, 0x4fb896e9, 0xc55098e7, 0xfbb5b23b, 0xc4a35f36, 0x50a7752a, 0xd4369f21,
+    0x711e5f37, 0x3c32bbdc, 0x63dcfeab, 0x6f0ab5f9, 0x0bcc50f4, 0xbe2cf2ab, 0x3b34d998, 0x8d3f69e2,
+    0x5a50064b, 0xcb218de0, 0x93f7d9aa, 0xec60694c, 0x3def0af0, 0x05d40571, 0x4e18dd9e, 0xa9a7a1e3,
+    0x5590b4e2, 0x15466460, 0xe90f5f05, 0x6732fb82, 0xd8371960, 0xa9389d1f, 0xafb0a244, 0xc2e7e5d3,
+    0x3a29e21c, 0x7ccbf3b6, 0x44c3aa68, 0xe931536e, 0x19c587aa, 0xf07906aa, 0x9e2423ec, 0x5ed0e4ad,
+    0xf46b63e9, 0x89926b82, 0x547976c2, 0xeb52dfaa, 0x6387add9, 0x80a75bec, 0xdc698ff7, 0xdfed1c6c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000011198723710889021052787211\
+                         40284222139060822748617324767449994550481895935590080472690438746635803557888 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf,
+    0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e78, 0x59d06650, 0xfde9dd51, 0xf3a3e24a,
+    0x00000000,
+    0xf1a94fff, 0x868138bb, 0xa0c80369, 0xf518a74b, 0xae29856d, 0x98253552, 0xe58856d7, 0xdf976eb4,
+    0x46700242, 0xa94b52b1, 0x2d301ec7, 0x3add1225, 0xfd3cd75d, 0x6e7d5fdb, 0x82c20432, 0xc8e9ea80,
+    0x6926e39d, 0xfa0d334d, 0x79cc178e, 0x9c7bea5b, 0x4d3ff2d7, 0x6ec14bf6, 0xd9d68449, 0xba2d35db,
+    0x4da8d719, 0x66a17ba2, 0x9e4a8fd5, 0x145088dd, 0x2d8f958a, 0xd77bfa59, 0xf528b0dc, 0x55fd29fc,
+    0x904f403d, 0xa2702451, 0x4fbd560a, 0x059ab4a7, 0xf1889647, 0x2ebc5a8d, 0x060e5dbd, 0x6c0316e7,
+    0x1260afbf, 0xad0a83d8, 0x02c272d9, 0x9cbb05eb, 0x504350f6, 0x46dbdd99, 0xcee08945, 0xa7d8f03e,
+    0x75ed267a, 0xb1f571a9, 0x25ab63c9, 0xec9dba2c, 0x034dd393, 0x9b388639, 0xd212b452, 0x4149e70d,
+    0x27f95b02, 0x10317f8a, 0xed40bb5d, 0x4e2498e6, 0x1f34670d, 0xb818b4a7, 0x7da3f45d, 0xc872b536,
+    0xf8409755, 0x807431ee, 0x296e604a, 0x82daabf9, 0x02a5d030, 0xd35194d2, 0x218cfcb3, 0xc998c92d,
+    0x41a7f4a0, 0xa0a276bf, 0xe3041449, 0x9bfa1a75, 0xc7e8b087, 0xf8111a4e, 0x7321c292, 0xf2886368,
+    0x14759d3b, 0xb77ad0bc, 0x1e0a771e, 0xe4b7f012, 0x518d5354, 0xaea274ae, 0x8197dbdd, 0x9bd52bae,
+    0xb70eb3da, 0xadf76b87, 0x4449af53, 0xcdca9e0b, 0x95c67756, 0x57d0d7d1, 0x65ca9322, 0xdfa081a4,
+    0x877efc6a, 0x838ead40, 0x8b56bfee, 0xcdb94f26, 0x58fe93b9, 0xa897e1bb, 0xca439df6, 0x07dfea45,
+    0xcc4478b3, 0xeeae3d87, 0x2587d6a5, 0xd677b7c7, 0xf89cb6a6, 0x9f34d9c5, 0x6c555f8a, 0xd6b1c598,
+    0x90544224, 0x32004102, 0xa2821778, 0xe4a29f4e, 0x0fa6ec9b, 0xaf8cbcb9, 0x00cffc58, 0xb81ef2fa,
+    0x5b265ee8, 0x1a94faf7, 0x7338b5f5, 0x657f7e69, 0xecba22fe, 0xe5e0998b, 0x6ad8dc71, 0xcd693d80,
+    0x867aeef8, 0x74ffe8d9, 0x77354538, 0x0558c3ea, 0x28932a93, 0x0372d04d, 0x8cc417d0, 0x7733d291,
+    0xafda3ea0, 0x043ae1b5, 0x82ceadc3, 0x51dbb960, 0x4d3d7c52, 0x4cd4fad2, 0xe198709f, 0x32faf8e6,
+    0x4ae583d5, 0x49fc572d, 0xf016f72e, 0x212eb214, 0x983b8f51, 0x208fa118, 0x4bed2149, 0x8a5ade88,
+    0x95003d72, 0x41c5afbd, 0x038497e8, 0x2db714ca, 0xe01861f2, 0xcdf04550, 0xeba89691, 0x92c447b6,
+    0xd4b83c0d, 0x45fea240, 0x508fabc7, 0xc1c5f827, 0xc6b774ad, 0xc5304036, 0x639894fe, 0xb474b0ea,
+    0x6bbbae61, 0x56bd337a, 0x49fdcfca, 0x5be07980, 0x938b050b, 0xc60943a3, 0x58b6dc4c, 0x5396e223,
+    0x66eea916, 0x53286036, 0x7abe6186, 0xd7ff817f, 0xa5e77814, 0xb0448d92, 0x366908e7, 0x0cabd121,
+    0x5c5db837, 0xb671f62a, 0x24ba2d6d, 0xea7f58f0, 0xf620b330, 0x9ca79f15, 0x8dff9bef, 0x7577f5e7,
+    0xb1f54042, 0x54af5b17, 0x4d8c0dbf, 0x47d5d638, 0xbbed9814, 0xd1467034, 0x6667cefc, 0xc04432f0,
+    0xd1956620, 0xc96868c2, 0x6d269cd2, 0xc148fef9, 0x9044ad92, 0x05939490, 0x4a995149, 0xed5bef70,
+    0xb933c8ee, 0xa1ecb9ce, 0x09a2fa39, 0x5d94b1ca, 0xf1f5c7d2, 0x0f90d1f7, 0xd670857d, 0x37e65c02,
+    0x0f722dd8, 0xbbfec91c, 0xa94e8dbb, 0x97048e89, 0x858053a4, 0x2d750e14, 0x75810041, 0xd68b5161,
+    0xb87ed5d7, 0x58b42b23, 0xa3d74b65, 0x9aa80439, 0x1d029395, 0x2662aec4, 0x136691f9, 0x66ef4965,
+    0xa0750f2f, 0x75bbed0d, 0x6edc21e9, 0x680fe393, 0x5e561e5e, 0x570000bd, 0xa3de54ea, 0xc5f8ca65,
+    0xc053b5df, 0x9ded2db8, 0x5f69e8c5, 0xbe3b02d3, 0xbd07383c, 0x0bb4eaef, 0xd6347aa9, 0xebef4921,
+    0xae6c07f3, 0x712ef54f, 0xfc0fcee0, 0xcbe1500a, 0xf82e0ad3, 0xcc7d9beb, 0x5e9eb4ac, 0x895a5a03,
+    0xfff80da8, 0x7856f786, 0xf9aacd08, 0xaf3de646, 0xb32122bf, 0xdef3180a, 0x778753f0, 0x157362c7,
+    0x19fcb614, 0xfd336a1d, 0x6bbcb94f, 0xf0ff28ab, 0xa85a1841, 0xd2edcd68, 0x29dfbbbf, 0xae1e5593,
+    0x516b1cfe, 0x75ddbc2e, 0x8e0df9ad, 0x6068ddb8, 0x8dadddf3, 0x03575484, 0x52671a87, 0x8821fbba,
+    0xe20813f0, 0x99d548a5, 0x18e68081, 0x47652010, 0x581ed746, 0xb5708b56, 0x5f6c7092, 0x68234952,
+    0x220a616d, 0xb8d7e86c, 0xc871dbc5, 0x2ae429e2, 0xe34f4747, 0x1501c2c4, 0xcc977db0, 0x1efa37d1,
+    0xd502a26d, 0x7bc78d02, 0x3fc91b18, 0x1c18d80d, 0x78464e7c, 0x1b1c472b, 0x06c4af67, 0x9188cec7,
+    0xfa7b3d0b, 0x1d74d1d9, 0x20265260, 0x6fe00a1f, 0x44781eb4, 0xcf94145d, 0xa1a4f69c, 0xc46851f4,
+    0x41ec6bca, 0x0c9f0962, 0xda610c02, 0xf97a7106, 0x2c2ba126, 0x4c8a80d3, 0x1627d61a, 0x768253c3,
+    0x655b0049, 0xf1a9b248, 0xb5c10a6b, 0x99924d1b, 0xcdaced83, 0xc49d2e08, 0xd9439829, 0x4030022c,
+    0x70703b64, 0x5db285be, 0x46c7e4fe, 0xdb4a5423, 0x77d604ed, 0xed74fc51, 0x5c437596, 0xc7135ada,
+    0x14450a5d, 0x5c6a06fd, 0xf575afe5, 0xf78aa302, 0xfd3f32db, 0x80ae40f5, 0x6c5967be, 0x3ae533c1,
+    0x10599316, 0x2645cdc2, 0x2f04acea, 0x2e52f21c, 0x28c35810, 0xd5ffa024, 0x8a67df9b, 0xb0ee0856,
+    0x3ec5e474, 0xabded1e8, 0xd2879d4e, 0x3230986b, 0xb2e3b14d, 0xc7777f64, 0x0926b92f, 0x5029e735,
+    0x6a8ddba3, 0x0cf9a367, 0x8a67401c, 0xc03480e2, 0x833cb2f7, 0x1274fb88, 0x84d0f8f5, 0xc2ab2107,
+    0x08f04182, 0x1ef3889d, 0x0750c9c3, 0x0a46a007, 0x376e3c83, 0xd5315432, 0x675e4700, 0xa95296a1,
+    0x840675d4, 0xaab382a0, 0x7269b9ad, 0x63c3ca0f, 0xf87bf6a7, 0x9e332f83, 0x16341a44, 0x5daae1e8,
+    0x246d8e6c, 0xbe3a6478, 0xc6bcf0f9, 0x4ea41036, 0xbd328804, 0xd45d1efa, 0x713eee33, 0x9ac3a54a,
+    0x740277c5, 0xdc2849fe, 0xd9040476, 0x2cb26d60, 0xa2837990, 0xb13b7fb0, 0x7814868c, 0x615d3f5c,
+    0x38515048, 0xe7b1ec20, 0x62c32c8b, 0xafe6be5d, 0x5ab4d37c, 0x070e72dc, 0xd4ec1bb8, 0x90159959,
+    0x7dfbf7f1, 0xeb9c345f, 0x54832cd2, 0x50cfb52d, 0x630564a7, 0x5f6f735a, 0x0a9bb26a, 0xb7ac431a,
+    0xbf8f5bf5, 0x05750bc2, 0x61efc168, 0xbc3c7758, 0x2496e7fe, 0xcdb71d14, 0xcd97af2a, 0xbec7e193,
+    0x50aa5324, 0x259118bc, 0x2e50125e, 0x757c1f93, 0xe7b1b779, 0xe532b0d9, 0x33dc9777, 0xba0edb5a,
+    0x69a657a3, 0xbc1cf3ce, 0x96945b54, 0x1abd110d, 0x97136e43, 0x701fba64, 0xb67d7900, 0x78349e51,
+    0x00150e67, 0xb6546f92, 0xf6161577, 0x2ffc80f8, 0x39d976b2, 0x3e4567ce, 0x370d9ca8, 0xd576f524,
+    0xe44ca83d, 0xc1367440, 0xf19c9803, 0x3ef165b3, 0x8f1dd5f2, 0x3b8d6ef9, 0xcfa377df, 0xbd8d2505,
+    0xe0e0b383, 0xf595df13, 0x9bffa865, 0x5f2853e7, 0x8100a722, 0x84909ad8, 0x430cd7a9, 0xc7b8fd98,
+    0x75e15572, 0x8de3e3ca, 0xc639b071, 0xa2dcd280, 0x1cfa4552, 0x370d7ecb, 0x15b02776, 0x6f368866,
+    0xa524cff2, 0x7b1b70e3, 0x35c82584, 0x3253cf8f, 0x9d5dd061, 0xe9e7f260, 0x06b1baad, 0x47309a8f,
+    0xeff3b229, 0x95724437, 0x7f01ff5e, 0xf48a36d0, 0xee03caf7, 0xbd0cedab, 0xe49d6f27, 0x716f8023,
+    0xb11a8b56, 0x1e54e8d5, 0x8c9a9492, 0x8e9b54d5, 0x5f2fec9b, 0xebb3ea33, 0x817f9745, 0xcfe67207,
+    0x98f7f79c, 0x599d8991, 0x9d743757, 0x4f48489a, 0x42798551, 0x9a9f7a77, 0xf701ca08, 0xa77a28df,
+    0x1068f5a2, 0x8605571c, 0x3767807b, 0xe958871b, 0x8c285427, 0x206e612b, 0x914c3ca6, 0x02d3ce00,
+    0xb2aeb41c, 0xdc55b8ca, 0x68608232, 0x82af86fa, 0x46288cda, 0x427ca8eb, 0xc1a18618, 0xc5a4542e,
+    0xd6e08230, 0xf077bb43, 0xb12cdc3d, 0xf0c83fa0, 0x9f6361fe, 0xfb1c3ec4, 0xac65d4ab, 0x4d0c9e7f,
+    0x897cbfd1, 0xe709f7ba, 0x2acc8631, 0x55c86d47, 0x36468d6f, 0xe9f1b4de, 0x440a0fd4, 0x69425468,
+    0x727d7926, 0xa127df1a, 0xae820e33, 0x3d199e9d, 0x3c344a9f, 0xe2346436, 0x013402d3, 0xda9f8ff8,
+    0x4bea61cd, 0x572cbfbf, 0x4aeb62ae, 0x87a76493, 0x1db59d4a, 0x8a186e0a, 0xfc79ced6, 0x327c4500,
+    0x0a26fa84, 0x4d858a08, 0x5be98a65, 0x1aaf6550, 0xf310e1ce, 0x13a656e9, 0x44fab27f, 0xdd8e933a,
+    0x267b241a, 0xcc6e4833, 0xfa3a3394, 0x4c138f2a, 0x2f3b023b, 0x73bfa32d, 0x4d67019b, 0x1cce039b,
+    0xa9a87a2b, 0xda3a4a2e, 0x5f3dadde, 0x93dcdc9f, 0x79a30bc1, 0xd5d7d1c0, 0xfd0489b4, 0xb4b79377,
+    0x670a69b6, 0x672f5d97, 0x3062327f, 0x1ed112a5, 0x70703131, 0xec5950e9, 0xa8f16899, 0x69ead2b4,
+    0x36f6fc64, 0x5359039f, 0xce9f3375, 0x53ae7155, 0xa893ca9b, 0x333169c1, 0xb161513e, 0xba78fc88,
+    0xc8b56246, 0x63a3a5cb, 0xeaa76c53, 0xc1c467f0, 0x7b002f2f, 0xa65ff54f, 0xb3e825d4, 0x666bb28f,
+    0x62399591, 0xb310e1f7, 0x09b1a2f6, 0xf03317cc, 0x23c39240, 0x00855247, 0xea9975cc, 0x293c2ced,
+    0xce2bbe3e, 0xf4055795, 0x4796f8da, 0x42e51361, 0xe31bd7e0, 0x37d127b7, 0xda908771, 0x6930db70,
+    0xcf2cb5ed, 0x8cb8bdb6, 0xc6381c88, 0x853fbeaf, 0x56dbc916, 0xe53af684, 0xafc31676, 0x02d0dcf8,
+    0x62325ee0, 0x2736ca59, 0xcc514ad6, 0xb2af5c87, 0xb43da677, 0xc0c56ebd, 0x88aef78a, 0x97e82ad9,
+    0x30e57835, 0xe19a5bea, 0xfef1e38d, 0x1e29b126, 0x6be50949, 0x01a1f948, 0xcb190d43, 0xcaa95e1f,
+    0x53c7e57b, 0x11cf14aa, 0x57337ef0, 0xf9ce7386, 0xa8184b8a, 0x6cb33801, 0xb304ed30, 0xf74f48c6,
+    0x73b6f2b4, 0x02eae6ca, 0x3cd99e75, 0xf9df437d, 0x7bb56148, 0x7eddc0c6, 0x1871b192, 0x2c47144f,
+    0xa9eb9cbe, 0x0efb937f, 0x2b5f5581, 0x3edf21e4, 0x9461d815, 0x80741220, 0x9483dc21, 0xd0d0c81d,
+    0x4f027d73, 0xc3ae65ab, 0xa63d98d4, 0x1b9d2189, 0x8a323063, 0x935cf718, 0xa8cc8067, 0xaee2eda7,
+    0x46d3a0bb, 0xd59c97e9, 0xf6d34830, 0xb751eb6a, 0x83b78434, 0xb9ca0784, 0x231e4a2a, 0x055e9753,
+    0xb69bb179, 0xeaae7a6a, 0xee606015, 0x5f9ac9d5, 0xd5410550, 0xe7be7728, 0x47b40ddc, 0x75fc4f9e,
+    0xa8c6a2e5, 0x7f67f1da, 0x279558d4, 0x906ada29, 0xe9f7236d, 0x09e4da73, 0xc31018ec, 0x0c6291fd,
+    0xaac9ad54, 0xd2c29a7d, 0xcbeceb61, 0x3a13d980, 0xf26e6687, 0x3806c194, 0xba5772a2, 0xf3bfaeb0,
+    0x7c762463, 0x194b3534, 0x6aebb883, 0x970648dc, 0x7df8251f, 0xa23559f9, 0xaf86ac46, 0xf066494f,
+    0x03ae1368, 0x3291fb61, 0x86db3b5c, 0xec3a9dfa, 0x311fcfee, 0x997f62a2, 0x9d850b64, 0x757446f7,
+    0x71d348a6, 0xdb52d6e4, 0xb1e4f78e, 0x02ebf7e5, 0x342b19d4, 0x23912aab, 0x47f91796, 0xbbf4a532,
+    0xaafb805b, 0xb04c9eff, 0x72e7c4e4, 0xb7117c3c, 0x0cf720bb, 0x732fff57, 0x0415e85d, 0x46948653,
+    0x71889ee7, 0xb18be370, 0x48c1ff98, 0x05626302, 0x00f43588, 0x7b243b04, 0x2a1ed31a, 0x7cc8c12a,
+    0xd41c9d4c, 0x9a235b99, 0x0ca08a55, 0xd53ae2eb, 0x79511f77, 0x98df1f57, 0xc13c6a9e, 0x4ed2f2bc,
+    0x3edd256f, 0xbfcdf038, 0x3cb6f187, 0xdac76686, 0xb6e1f6fb, 0xf1a8ddb1, 0x7be531fb, 0xb6dd75dd,
+    0xa18d37c1, 0x1b295ce6, 0xbe736f41, 0x09895144, 0x77ce01e0, 0xec9b9cf5, 0xc793d8a0, 0xf2cc55e3,
+    0x48015c87, 0xc2c21f13, 0xb91b98cd, 0x770f63ec, 0x6a7aec03, 0xd5cd6877, 0xce82be82, 0x0a5b26ec,
+    0x0dd8bcb5, 0xd85697ba, 0xa5b7343d, 0x0e41ed17, 0x930abbd4, 0x0a898402, 0x2a541555, 0x41a440fc,
+    0x7e08a4f0, 0xc34d6e7b, 0x03580e50, 0x16d96461, 0xe7604a86, 0x508e08c8, 0x4fcd0492, 0x74864b9c,
+    0xb4a14338, 0xd9ab58cb, 0x9261f0be, 0xbc576d7e, 0x2646dd0b, 0xf3e5473e, 0xbe9a453e, 0x34015cec,
+    0xa0c82df3, 0xa5589b52, 0x1b8af478, 0xb021e050, 0x9a535c2b, 0xff48c7f7, 0x3adde21d, 0x2d64942a,
+    0xdc5b30b7, 0x25bc16cd, 0xca9beee5, 0x426b91f7, 0x74244fd1, 0x6079a297, 0xfe46e9d2, 0xf09ae610,
+    0x4e6318aa, 0x73d8681e, 0x410b13ad, 0x242a2341, 0x7c002118, 0x92651d01, 0xc4e7267a, 0x6812f311,
+    0xd9e14110, 0x686e80af, 0x80460429, 0xc783df1d, 0x03f57023, 0x15f63523, 0xc96607ef, 0xf1dfa269,
+    0x7bf76a36, 0x13d0e68e, 0x1deaf2d7, 0xd580abac, 0x810aa4fa, 0xfc8727cf, 0x9c4ee7ca, 0x25ebf921,
+    0x4906066f, 0x13d1c283, 0x2297634f, 0x2895451b, 0xf35c5e2d, 0x54338023, 0x042077d8, 0xcb343189,
+    0x9ff12fc4, 0x03eb492d, 0xc9c75954, 0x023033a7, 0xfc19fb3d, 0xf0431709, 0x0a8464bf, 0x91ebcbd8,
+    0x047fa5b1, 0x51c22808, 0xf23626c1, 0xf5bfa214, 0x6ef98208, 0x3d36345f, 0x5cbaeae3, 0xa13aefcc,
+    0xfc93eabd, 0x4ce3b6e8, 0x0b673d1e, 0x58cf5313, 0xe9bbce1c, 0xb622a768, 0xd7199024, 0x76317c96,
+    0x1bfdb347, 0x9886feb7, 0x81991684, 0x8b0bc4d0, 0x743952db, 0x030ad4c8, 0x53db0c41, 0x1b15cb46,
+    0xe4ec321c, 0x38e56854, 0x7021b861, 0x0d369801, 0xc1ab9aef, 0x8352f4ad, 0xb1f44968, 0x78cbc2c7,
+    0x9b1877ca, 0x7116ad6b, 0x284c9727, 0x93474847, 0x086f06fd, 0xe9e771c8, 0xea07d0a3, 0x4e814a62,
+    0xcf2c150e, 0x6d69b63c, 0x2da6a95d, 0xa74480cb, 0x85cda082, 0x400995c1, 0xa210057a, 0xe8c4d400,
+    0x749e1ca6, 0xa5e937c9, 0x437cbe2b, 0x3dca151d, 0x447eb68a, 0xa983ed60, 0x9e81783f, 0x11b13e6d,
+    0xad4e6b98, 0x730744e4, 0xf6041d7d, 0x8558d4d3, 0x421a4f94, 0xb516d81c, 0xcbbebc48, 0x8534f6f7,
+    0x4e5dffe2, 0xa8df94f8, 0x8a6a8bcd, 0xa5bc71d1, 0xa53ced66, 0x82ab200d, 0xd99747ad, 0x1c06e345,
+    0xcbe766cc, 0x887b1e78, 0xfd08f4c1, 0xf9ef5418, 0x4dd9d982, 0xf4ea2922, 0x5783e98b, 0x0e28a7de,
+    0x963ea35e, 0xeccea512, 0xc1dc2d58, 0x83dd59b7, 0x0727194c, 0x258cea7a, 0xa17deddf, 0x9f5d1d89,
+    0x0c78ba25, 0x2f6f636c, 0x0184ed18, 0x9fb57767, 0xfad0801b, 0x1e68316d, 0xc82e96cb, 0xed1c64f5,
+    0x8c4fe09b, 0xb3492be9, 0xf3218b82, 0x44600985, 0x8caffdf5, 0x644cc050, 0xdba3e334, 0x3b752d19,
+    0xb8d33eae, 0x7d96d5bb, 0xe3383842, 0x6df0dfff, 0xa8df319f, 0x71504bf6, 0xc79e4d1b, 0x2789ea65,
+    0x16ee935e, 0x8e3eba22, 0xcb764f0b, 0xc2cd5b75, 0x6293686b, 0x9ce20e6a, 0x410d826e, 0xc62e1b85,
+    0x5b8e0097, 0x251c6bdd, 0x220a3420, 0x17a6e2cc, 0x793aaab1, 0x5cc6189c, 0x5417198b, 0x56579bf5,
+    0x7c4b5f6e, 0x14a95535, 0x69aa1f35, 0x3447c7da, 0xf60400ec, 0x977c256e, 0x21d821b9, 0xceb55830,
+    0xa47629de, 0xb1d773a9, 0xe930403c, 0xa26a8c05, 0xc7ed31c0, 0x2a54ad00, 0x17a83b65, 0xd6c00cb2,
+    0x7f201000, 0x76f2e52c, 0x7ae37b70, 0x69f658ab, 0x0610793d, 0x98fc1c11, 0x7aac5e59, 0xa4c244a3,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000005599361855444510526393605\
+                         70142111069530411374308662383724997275240947967795040236345219373317901778944 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f,
+    0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173c, 0x2ce83328, 0x7ef4eea8, 0xf9d1f124,
+    0x00000000,
+    0xf8ba35f6, 0x3a7e1d1f, 0x4a129d06, 0xa292cd54, 0x4388c99d, 0x664b3b19, 0x03b29e69, 0x08bcb7a4,
+    0xb3fc346a, 0x2c8c8d76, 0x89d0da45, 0x8cf85951, 0x2f549a29, 0x723fa135, 0x08023b8a, 0x1e198fc7,
+    0x54d936ac, 0xe75643c5, 0xf9e83fa8, 0xd428f8c7, 0x64dc93b2, 0x48429a3b, 0x7cf42ad4, 0xc6f7f8b6,
+    0x65936ece, 0x3262a998, 0xd1c1b2ca, 0x80886684, 0x2f0aad6a, 0x0da05416, 0xe1cc7a79, 0x24ee0f6f,
+    0xafd3c475, 0x6f69920e, 0x3b37fa7e, 0x2fe1ce52, 0xc1d656bf, 0x0ad3ba5e, 0x0c97bdd5, 0xe5b2cf67,
+    0xecaa5f39, 0x00a2f471, 0x7ec53d94, 0x6df4ea3d, 0x8286901b, 0x32663cca, 0x05803213, 0x222d70fb,
+    0xc2fde3de, 0x7f36595b, 0x7f872668, 0x65c5eddb, 0x71e12aca, 0x3ca2f987, 0x6ca03086, 0x9bcad0ba,
+    0xc4705dcf, 0x75395891, 0xd5ecc104, 0x07a70a31, 0xf83b4108, 0xdac24784, 0xb04d57e1, 0x18568131,
+    0xe505d952, 0xa059f7c5, 0x07d0df65, 0x2c4ccd38, 0x78f67458, 0xe2688eb8, 0xed5e74ab, 0xbe2a3d58,
+    0x7c062ea8, 0x821bef0e, 0x98e684f7, 0xce84f1d3, 0xc0baae62, 0x5bb8a3fd, 0xd290938b, 0x62c4ac0f,
+    0xce91cb8e, 0x5079f02c, 0x4084112a, 0x4ea93293, 0x9561e0ba, 0xac9fd669, 0x580ba16b, 0xe6183ece,
+    0x2a364599, 0x6daf1cab, 0xa8225557, 0x2e8de920, 0xe1fa2ae1, 0x324204fe, 0x3210c84a, 0x24abf5f4,
+    0x67b9f55c, 0xdc1bb848, 0x8db5ef2e, 0xcae19afe, 0x7bf5906a, 0x0fd59263, 0xd9ee0cc0, 0x789e6559,
+    0x10ab2c33, 0x4646878a, 0x5c333402, 0xd576bf0f, 0x2a8afa1d, 0xb4ab4277, 0x825db5fa, 0x20bf164f,
+    0xd2cafed7, 0x5f287a1e, 0x2dc5c13b, 0xecb19f71, 0x3116dcff, 0xab2070e1, 0x7280d64e, 0x564722ff,
+    0x472e74ef, 0xa1ecdda9, 0xf0a27d6c, 0x7c15f41b, 0x5a85e8ae, 0xb0e3b535, 0x24377145, 0xb0ce9640,
+    0xb340210c, 0x96ed9f93, 0x2fb195ce, 0x61ad540d, 0xd1e0e205, 0xa0f3d052, 0x5102cb71, 0x95254539,
+    0x9be91146, 0x40f4d5c1, 0x252dd768, 0x74c6ce1f, 0x8604b6d4, 0x026d04c5, 0xfe2468ea, 0xd387ecf6,
+    0xf7b57625, 0xa204a49b, 0x35325e9c, 0x4d21b2be, 0xec85e9f1, 0x3c0db44e, 0xac29fe9b, 0x6c16fc51,
+    0xd5381dbd, 0x1c5462d3, 0xac57a5db, 0x25b196a9, 0xcc40a9f4, 0x1bcd54c2, 0xad61547c, 0x8bf1f89d,
+    0xe84f6d50, 0xd6b36c53, 0x57db2205, 0x4a2dc943, 0x7f9fae89, 0xaf9a8f82, 0xdd45ed8e, 0xe062cea5,
+    0xf9a33fbe, 0xd0d7b9ff, 0xc2ac8bfa, 0xd8655a8e, 0x1db2a81b, 0xb3ae2173, 0x24efd7df, 0x7365e56f,
+    0xcc516c74, 0x75b9e413, 0x29c085a5, 0xac31b1ab, 0x9043f853, 0x6d0d2032, 0x6947a926, 0xaca33f03,
+    0x357acb5b, 0x9e291c45, 0x0fc83745, 0xabc2ed40, 0x4bc307f9, 0x712298b1, 0xfbc0e1b3, 0xad4c9ec5,
+    0xac6a8722, 0xd4740d5f, 0x04c7c822, 0x83bbf629, 0x78451155, 0xf36671a2, 0xf5a70e0f, 0x4dda79cb,
+    0x7c65f343, 0xcaf9defc, 0x22bc7bd2, 0x4e68ebb6, 0x26e8d711, 0x5139edd8, 0x003b6f19, 0xd65a66bb,
+    0xb4bec5c9, 0x40156728, 0xbc186999, 0xfcf9b5c1, 0xcb3bf772, 0xc40f8661, 0xff9fbd01, 0xa62c7397,
+    0x9efd794c, 0xc7d69238, 0x8ce92c86, 0x3467f9a3, 0xacaeb3a3, 0x2dc6111e, 0xdf6ae316, 0x326256e0,
+    0x212f6db6, 0xc409aa50, 0x0ffadc49, 0x4c4f4346, 0x275e1a72, 0xe5da9b7b, 0xf1907dc4, 0xcdc84713,
+    0x26444709, 0x8d7648dd, 0x5d63e3fc, 0xeb1928ef, 0x1fee32b1, 0xa132c815, 0x6acb90a7, 0x5bb0c41f,
+    0xc060dec5, 0x073af2e3, 0x05c766c8, 0xdfa02666, 0xc355d209, 0xa8e12365, 0xf83b9291, 0x3e387040,
+    0xd60dd863, 0x2bcea42b, 0x336988c5, 0x386952f7, 0x6e40ce4f, 0x23966f96, 0xdcb55650, 0xc0517d9c,
+    0xf400bda5, 0x4ebbcefa, 0x82e43e0a, 0x72ac7a83, 0x5b8d5416, 0x2fe5ca2c, 0x2e48a07e, 0x91234ad5,
+    0x46920334, 0x76b701ca, 0xbad24427, 0x3c8a88f4, 0x041c83c8, 0x264b141b, 0xa5bbc6dd, 0xe2ae7cde,
+    0x0f115846, 0x589c0941, 0xed7a90ff, 0x492d6ef6, 0xc84904be, 0x838a5925, 0xc9ae6dec, 0x418f828f,
+    0x8f4dd13f, 0xcad770da, 0xc3ea3d58, 0x976f593c, 0xa7b42673, 0x39f2c988, 0xd0f54a5c, 0x25f31fb8,
+    0xdab08290, 0x8c6fe675, 0xc3ab4d33, 0xc3a4f768, 0x904055fc, 0xd4c8dfda, 0x3cd393f2, 0xf114a0c2,
+    0x82aac23c, 0x1fd6e736, 0x081abe67, 0x626b2383, 0x9ecc4450, 0x65f168e7, 0xb44ef2d2, 0xf097bb27,
+    0x97a14bbe, 0x11e8d268, 0xd14c9b7f, 0x1660c1df, 0xe050bbb3, 0x79307080, 0x95d08c04, 0xbf2a9396,
+    0x4319739f, 0x72dee264, 0x7c2ce9af, 0x2cb9f5e4, 0xc9ffa68b, 0x8512da24, 0xf21f2b4f, 0x2201dc7c,
+    0x9cc2b078, 0x63419098, 0xa510abb0, 0x48537959, 0x29d7aa5a, 0xbde15d20, 0xe8e51037, 0x245eb7aa,
+    0x35ec601c, 0xb08744e8, 0xe033cb09, 0x022791e6, 0xf5f718c0, 0x79687026, 0xb0f561f3, 0x28a47ed8,
+    0x48075db8, 0x43677431, 0x0588f58a, 0xf5e82e62, 0x4f63f902, 0x2308d5ef, 0xd6789449, 0x9af5f350,
+    0x3d2b7ccc, 0x0222a088, 0x9b6fb62a, 0xbe292c71, 0xea497cec, 0xf377da80, 0xfa07b235, 0xe74709a0,
+    0xbc04a9b1, 0xa6e0bd04, 0x51e72582, 0xe4c54978, 0xce93de74, 0x90fd637e, 0x5b2a1cb5, 0x16b17ea9,
+    0x62dabce9, 0xd8030c6e, 0x6c2106ec, 0x31a9d11b, 0x3a8be354, 0x1873a46c, 0x31e5beaa, 0xcab06153,
+    0xf275811c, 0x5de62be8, 0xd3916478, 0x2a78ce88, 0x6ac141bf, 0x9dc6ebda, 0x43e17cd4, 0xff0540fc,
+    0x1f30f909, 0x453d61da, 0xd751ba78, 0x230bd822, 0x664b24c6, 0xb9d74c56, 0x4e951e80, 0x374e048e,
+    0x07e414fe, 0x451a6c2a, 0x5ebcd6bc, 0x0f80fa2b, 0xaed59d5e, 0xa3e095c7, 0x846cabb8, 0xf686eece,
+    0xe072e6d7, 0x3e0f5758, 0xf565f421, 0xa07fe5d7, 0xd1deddf4, 0x7573f135, 0xf29d95f0, 0xf1c9bb88,
+    0x14d6d974, 0xb8c4bb5d, 0x3b304d36, 0x3ce27159, 0x4b82a7cf, 0x4a37aefe, 0x822b4f19, 0x3ce481a3,
+    0x1858c93f, 0x7e1a7417, 0xb36af2cf, 0x3fa1f684, 0xdb94937e, 0xf2f1e660, 0xb90c5432, 0xb4887701,
+    0x1fca29fd, 0xb5410360, 0xcb39b42d, 0x63ca21dc, 0x092ac7a9, 0xd86c4fcb, 0x2dc20199, 0x0a2495c8,
+    0x5d98c852, 0x6bfe0722, 0x62937ffc, 0xaa960b39, 0x9596be41, 0x48a21e15, 0x32845440, 0x1189ffd4,
+    0x95d15848, 0x392fe661, 0x2f38ede4, 0x99632adc, 0x4216b6ac, 0x39b97928, 0x7c072c3e, 0x66f889ea,
+    0x02105784, 0x0475230b, 0x827b1ddb, 0x65d881d0, 0xd1fbd713, 0x5fb92c71, 0xd7f81d3b, 0x4d007b71,
+    0xa5e491f4, 0x69c34333, 0x1222a64f, 0x772bd69b, 0x0633c711, 0x1e309237, 0xc69442a6, 0xe3b640a9,
+    0x3349eab5, 0x7a371e91, 0x53997408, 0x5fab15a1, 0x84d7ac7b, 0x05f4d288, 0xe267cc79, 0x4eba0ce7,
+    0xff90bebc, 0x721caeff, 0x699714ee, 0x2ef4f318, 0xeb819a20, 0x50165001, 0xd9849280, 0xc1496a96,
+    0xa14f23c5, 0x443e5952, 0x38587edb, 0xa07b6a83, 0xc476ab7e, 0x31e5ac95, 0xb90fb41a, 0x689ca3e7,
+    0x0b53aeb5, 0x1aeeff18, 0x1e57e7b3, 0x973ca1b1, 0xa9342cd1, 0xa1f3b3f8, 0xa291a978, 0x593d81ea,
+    0x7b960c55, 0x17fda273, 0xf6390bff, 0x22ba0a96, 0xe984dba7, 0xc1e079cf, 0xc9c31848, 0x5acc86cb,
+    0x34909f50, 0x09f47a47, 0x0fe27827, 0xd10e3b04, 0x0e9f196b, 0x4ac3b7af, 0xff0615ca, 0xebc4940b,
+    0x358d7841, 0x40ca5d12, 0xaaf04bd3, 0xd4367519, 0x7dc4202a, 0x2b8394f0, 0x6d95ff3f, 0x698903fb,
+    0x42d8f7cd, 0xbe2336e3, 0xdeb9d988, 0x130bd9c0, 0x6d1fd8ca, 0x6fd443f1, 0x24fc9b33, 0xbdb6afdf,
+    0x2781884b, 0x5fba9c79, 0x2a8d2e18, 0x2d2d8371, 0x70cec99a, 0x38fc1eaa, 0x196158fe, 0xd8c2a04d,
+    0x228e3a26, 0x1be2399e, 0x818878ac, 0xab90eb60, 0x5ca43549, 0x277ecc3d, 0x809f71cc, 0xb2b9c520,
+    0x5a053d01, 0xc9b4e454, 0x18b9fd88, 0xaba8577e, 0x60752815, 0xcd8a5409, 0x7f0c300d, 0xbe14b948,
+    0x889d23cc, 0x74b41b72, 0x17b82df2, 0x955ee521, 0xf1e35766, 0x95a4e5a3, 0x61404b48, 0x98ea7689,
+    0x7fe10fc5, 0xefdf61f9, 0x097b1485, 0xbf61f9d4, 0x495fa949, 0xaa230132, 0x65bf35a8, 0x6fbfbe8f,
+    0x4186e7e1, 0x78d622a7, 0x3fe2f004, 0x18cedd29, 0xd25960bc, 0xb1415839, 0x3dbd47c8, 0x5ed3ea75,
+    0xa727d5fa, 0x62ee242b, 0xe4677861, 0x2e70ceac, 0x1b227059, 0xa5e30e46, 0xb3cd9d9e, 0x9f835968,
+    0xd4c869a4, 0x1de81399, 0x6f3c156c, 0x0d841a2d, 0x12415f23, 0x79e290e3, 0xc8e0cccc, 0xe250daaf,
+    0xddfa28f2, 0x907df03e, 0x654352b1, 0x4d154db3, 0xa63e5b63, 0x483d7e1e, 0x1025d211, 0x6b79bc8d,
+    0x111f0c0d, 0xe8efef34, 0x6e0bce07, 0x2a31e5b9, 0x83167464, 0xc962d40c, 0xf9c8d360, 0xebad77ad,
+    0xe1d87291, 0xeff1a14e, 0x45f15ab1, 0x0270c755, 0xb6401ee4, 0x6015bfda, 0x0213952d, 0xe125db66,
+    0xf561f5fb, 0xf5bd9508, 0xca7c734f, 0x5cad8225, 0xdb43a5b9, 0x90d82784, 0x5fadfeac, 0x47e88909,
+    0x23d5b612, 0x1f4888ee, 0x69837778, 0xbaca7c1f, 0xde1d94e6, 0x38ee9c79, 0x99f70a90, 0xac40343f,
+    0x70bb6a8b, 0x495f84fc, 0x37cb48a9, 0xd79b13a7, 0xcd022ff9, 0x2293db80, 0xd672c703, 0xbe7c97db,
+    0xf34fd501, 0x5fbe11b9, 0x31ec37cc, 0x5409b924, 0x3fcffa2f, 0x88992904, 0x2df98151, 0x93a09055,
+    0x975c2f35, 0x8445e939, 0x038fdb61, 0x13e27694, 0xeb31ee95, 0x88c2a6e3, 0x492c7a05, 0x5ac01306,
+    0xe3461a02, 0xf10127f2, 0x09e6823e, 0x2b42f13b, 0x52d9967e, 0x2a4db00f, 0x83b31bad, 0x399b945c,
+    0xaaaf8332, 0x760bbfe2, 0x36e1e590, 0xe8b7453d, 0x1ce90d0c, 0x5909ed1a, 0x52cf66fe, 0x37f027ad,
+    0x0e430897, 0x0beb37b0, 0x647381a6, 0x26e138db, 0x51e873ac, 0x870c1eff, 0xd511a6f0, 0x8d9af7f7,
+    0x1042a3a4, 0x674603cc, 0xa2fd6e1a, 0xa80cdda6, 0x5d911c40, 0x08649e2f, 0xf5ec7af3, 0x1a5e31e5,
+    0xdcbd584f, 0xe42ae858, 0x6be91540, 0xb59dd77f, 0x5f5e649e, 0xa4b27dae, 0xbb56a25b, 0x084ebd3e,
+    0xa8029ba9, 0x15f91823, 0x54592e98, 0xdda4f1c5, 0xbd6320d2, 0x872ac3f8, 0x44d80d4b, 0x594bd229,
+    0x74630b9b, 0xfc20691b, 0xe4cbac71, 0x2d6ff91b, 0xdcb8459a, 0xe8215a65, 0x461349ca, 0xd9b0e737,
+    0x8ea44d92, 0xa07c7867, 0x6a005bd5, 0xc72592ae, 0x770f8813, 0xc603af05, 0x32688074, 0x521fa68f,
+    0x8bc0c2bc, 0xea8838f0, 0x26605626, 0x05b6ce38, 0xd238e51c, 0xd23a7986, 0x67129cbf, 0xe6452d8f,
+    0xb551d671, 0xe2bbf75f, 0x4d8b2d69, 0xca8a29b6, 0x5f8be34b, 0x64e7a4ca, 0x288ce38a, 0xbe900d02,
+    0x6f85fffa, 0xca3dda75, 0x804367d4, 0xe1d38382, 0x9d3690f7, 0x8893fbeb, 0x54adfb38, 0xe8e41d03,
+    0xc4029795, 0x87cb5b1d, 0x6527571e, 0x884f77cc, 0x0c54e255, 0xde5677cf, 0x60435836, 0xe73ce1a2,
+    0xa7026108, 0x62888ffd, 0x7b608d20, 0x2bc16d2e, 0x1ee8161b, 0xd663f306, 0xe5a748e6, 0x3c005381,
+    0x1855e69a, 0x97c163bc, 0xa40178ea, 0x48bc1083, 0xca3a8e52, 0xbf701d8f, 0x1716783a, 0x75614485,
+    0xef426689, 0x761cca6b, 0x28e50937, 0xceff3dcb, 0x8480aa65, 0x9f9ac00e, 0xfcea393f, 0x312e3261,
+    0x74711e99, 0x0b75c8e0, 0xeba07f50, 0xfd0797f3, 0xbbfe652e, 0x66cd8ac5, 0x119f8d5a, 0x5ba23201,
+    0x90869b5e, 0xad4093de, 0x093a933a, 0xae17f4f7, 0x445f959d, 0x7170f2a2, 0x2db53dad, 0xcea4a31c,
+    0xba0eec27, 0x4a507d4f, 0x91752eb9, 0x5f21c2f6, 0x15e7db7e, 0xaa41de82, 0x83420d15, 0xdc229a8b,
+    0xf6c54bb6, 0x8edd6401, 0x483bc26b, 0x898e0a33, 0x68caaa87, 0x9e8f821a, 0x65c7892f, 0x68cde016,
+    0xcd0a3522, 0x065410cf, 0x3da7dd93, 0xf85587b7, 0xb00582a6, 0x0f3971f1, 0x6e743bf6, 0x920d6b7f,
+    0x057e34b6, 0xdb0d6772, 0xd4bc3cc8, 0xa4582505, 0x490f3ebd, 0xef086f8c, 0xf80bec58, 0xebdef2ae,
+    0x3b620cd6, 0xa4572f71, 0x77ab213f, 0xdb47e2ca, 0xcf684c1e, 0x06b1753a, 0xf81426c3, 0x3477d202,
+    0xadff13c0, 0x6d018c15, 0x5b42adf8, 0x78611b55, 0x7cc1f7da, 0x6fdd3c27, 0xff506141, 0x66955f7b,
+    0x17d8967b, 0xb15799c2, 0xcfed3566, 0x04120e94, 0x846aefcf, 0x51046401, 0x34878ec5, 0x33c678cb,
+    0x7b4ce286, 0x888a79eb, 0x605e96d1, 0x0bd48dde, 0xbbc41fbc, 0xd2af4b24, 0x038621fe, 0x730bc47c,
+    0xedec810a, 0x40d26bea, 0xa7814f0c, 0x1d188fe2, 0xc27056ae, 0xacdb7d2c, 0xbfd47785, 0xfecec99f,
+    0x1934db9c, 0xa0645715, 0x0b9da157, 0x4675574d, 0xd4cfe6bb, 0xf7bcc94b, 0x928e5a7c, 0x39a2a2ce,
+    0x5d6e7281, 0xead4ab18, 0x8c23d68c, 0xe34958ec, 0xcd9f0011, 0x057cdbec, 0xd538b2bf, 0x679cbe69,
+    0x046caf3a, 0xa14929b4, 0x3081ab54, 0x6f45ed8a, 0xe71c34cd, 0x2466e7e1, 0xe1d9b056, 0x0aaf71bd,
+    0x637e0216, 0x5697d7e5, 0xfe819bc6, 0xd4446add, 0x9422f8f8, 0xc6c3e5b2, 0xa71981d0, 0xa858bd3b,
+    0x28cb9318, 0xa006fb04, 0x1a7234ad, 0xaa2b35ce, 0xce53a316, 0xd5b57eac, 0x972eac3c, 0xa8bbc6e4,
+    0x7e274eb6, 0xedb28032, 0x2e32b4a2, 0x1cbd979f, 0xaaa7d296, 0xe875ad6d, 0x0876271a, 0x4382cdcb,
+    0x5e300730, 0x57040b14, 0x062d92b2, 0x10f433dd, 0xf6f55b77, 0xeacd2e42, 0x8eb826e9, 0xe7635480,
+    0x354c27cc, 0x34afb738, 0xeda16abc, 0xa0340639, 0x660cb7de, 0xc570417d, 0xe4a964d5, 0x77f4b8ef,
+    0xd01bf9d9, 0x2e00f0ad, 0x8f8a2aba, 0x67ffdcd6, 0x2d1040f6, 0xa54d922c, 0x97a674da, 0x822b03e1,
+    0x83ffa38a, 0x3e95689d, 0x330a0450, 0x22a76d87, 0xa68d427a, 0xb397f672, 0x7a61afa7, 0x709d7bf4,
+    0xb14c88cd, 0x0b041207, 0xfea5a0ac, 0x8f783126, 0x18f3f560, 0xf2181c73, 0x7ee22c5c, 0xbe36b0b4,
+    0x8e5ee864, 0xdb80699f, 0xd10f3847, 0x2f9dc094, 0x19ffbbb4, 0xa900265b, 0x4d54e7c0, 0xb8865b0c,
+    0xa37cd317, 0xc4ae2896, 0xca54d58a, 0xac21a7d0, 0xb186e5c9, 0x6a262b31, 0x26160a25, 0x63c61330,
+    0xeacf8f71, 0xb90a2037, 0x90e72a98, 0xf796fda4, 0x23541cf9, 0xc2f0d3da, 0x952e81af, 0x61fba547,
+    0x6393d2e4, 0xa201b8c0, 0x0af0639d, 0x5b6ce498, 0xd2059e40, 0x1621cf7a, 0x3b4b9fae, 0xb7b466f9,
+    0x95c678f8, 0x4fa233b4, 0xb4e48e05, 0x5a2604e4, 0x03b3a727, 0xa0419ddd, 0x23705ff3, 0x7f0d207f,
+    0x48cdd4e0, 0x5d089c2b, 0xbf11b3f2, 0xb9cc9758, 0xb6955def, 0x082187f7, 0x32d38216, 0x05c5cf3a,
+    0x85a40854, 0xaec26034, 0xec2c3a6f, 0x1c2e40e7, 0xf14018a3, 0x08daf746, 0xf2cf37ac, 0x0c22c055,
+    0xefe25b45, 0x81bbcdbb, 0x7e311b45, 0x13b4b13b, 0x3cc44ddf, 0xcf72ddea, 0x6df633c1, 0x0076c526,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000002799680927722255263196802\
+                         85071055534765205687154331191862498637620473983897520118172609686658950889472 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af,
+    0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9e, 0x16741994, 0x3f7a7754, 0x7ce8f891,
+    0x00000000,
+    0xfc5665fe, 0xc05a58f4, 0xcf0733aa, 0x6e6fbff3, 0xadef51c1, 0x9b09c597, 0xd871b65a, 0xe67c289c,
+    0xb43aae71, 0x26719e1c, 0xb6a267bb, 0x3ea6eb89, 0xa3211821, 0x8f306075, 0xd300b730, 0xbb7b795e,
+    0xe57f214a, 0x735dd18f, 0x95ef70bf, 0xfa5d1a4e, 0x9d1b035d, 0xbe4d1024, 0x58f741e2, 0xafc47ae1,
+    0x0218379d, 0x7b1e8f9e, 0xef87266d, 0x992903a4, 0x63aeb302, 0x8d316139, 0x6c011a29, 0x5b4920c9,
+    0x54163c45, 0xa82f665d, 0x32cda9a8, 0x8e9e6f59, 0x0d8cd166, 0x1f912826, 0xd3a45592, 0x2d0ce49a,
+    0x6553b393, 0xc0e8977c, 0xf080394d, 0x28186f55, 0x818a3998, 0xe6928169, 0xa3db82a4, 0x34d76e09,
+    0xf2af9e89, 0x9f33975f, 0xb2e28b55, 0xaa7417d3, 0x54856919, 0x46ebd7ff, 0x5daec788, 0x907519d3,
+    0xecda5380, 0xd5240fac, 0x1f4af999, 0xb942d0b6, 0x3bfd48b5, 0xbc8e0446, 0xdcbb3ad0, 0xedf34184,
+    0xb48c5691, 0x81afaf72, 0xdfcdf035, 0xa2d4e140, 0xe43dbf7a, 0xbb47a30f, 0x8d58847b, 0xb10dd171,
+    0x831a928f, 0xbdaf8956, 0x523a1991, 0xa90b0508, 0xb99be09a, 0x7be1488c, 0x01fda811, 0xd027ad3f,
+    0x2591f96a, 0xb83de790, 0x6f6fdc3a, 0x566c1895, 0x601be19a, 0xee77a0c9, 0x8cf573a7, 0xf28ce1ed,
+    0x5f348e36, 0xfe55b98e, 0xd4bc49df, 0x137f4f19, 0x6cf37de2, 0x6755a17a, 0x0018c40f, 0xf0675eee,
+    0x0d6250bd, 0xe0699b36, 0xd6d59bf9, 0xed753465, 0x5b4252f1, 0x2a6a4afb, 0xcdf688d5, 0xd0adee41,
+    0x857ae440, 0x4c0511e2, 0xf5268dbe, 0x849ee963, 0x6a872a4c, 0x921b4455, 0x4d0bca45, 0xea3db8f6,
+    0x82e9cb3d, 0x35b3bbe2, 0x86376859, 0xe131d01b, 0xf9c524f5, 0x7a253e00, 0xb7875338, 0xd0a4817d,
+    0xaf73934f, 0xd8c51578, 0x16215197, 0x1d5c6075, 0x5bcf8514, 0x29c9706a, 0x7aae841d, 0x3a1d6288,
+    0xf747ba58, 0x38fc38cf, 0xd94532e9, 0xca0f2e50, 0x039b4c09, 0x39ba8100, 0x99bf19c5, 0xd45067c7,
+    0x1b6fe1ff, 0x040fe7e8, 0x892298b2, 0xc73da26b, 0xbca242c3, 0x778c9a87, 0xbcf5b93f, 0xc2379a39,
+    0xbd4817dd, 0x9e7f9215, 0x8c356b92, 0x4cff3dcd, 0xfba74825, 0x97070b5f, 0x6f1a9161, 0xc457672b,
+    0x4535783a, 0x090861f6, 0x623d5536, 0x8a91a6ce, 0xa4334946, 0xc9ba6f59, 0xbb5825a4, 0xd20c6d83,
+    0xbbd8553b, 0xfded7d88, 0xa4e4c05f, 0xe33d8152, 0x618ea667, 0xfad4d8fa, 0x0a2db1eb, 0x5a87a4be,
+    0x33729cbc, 0x9034c742, 0xdd465320, 0x6943c4ce, 0x67eb4864, 0x75cbbcf9, 0x5a07ffa3, 0x2157a85c,
+    0x6fa8807c, 0x358db781, 0xb9fc9138, 0x2381c538, 0x93bd01e4, 0x25b28f87, 0x636a5821, 0xe822c63e,
+    0xf2a57dec, 0x15739e3c, 0x3402e671, 0x6e7b3d6b, 0x5312b4fe, 0x453a9efd, 0x80b8283c, 0x2805a47e,
+    0x9982d768, 0x208ce9fa, 0x961a295e, 0xb2b4a5d5, 0xdec5ce9c, 0x9d9b299a, 0xb4f672fe, 0x27ff3e80,
+    0xb27ef7ab, 0x2c3352c9, 0x79b8ae98, 0x73171772, 0xeeb6b1fd, 0xbe8ccfb0, 0x5b2825d5, 0xe17e0325,
+    0x803a5282, 0x9393f0e0, 0xcf8fad18, 0x52c4e4c7, 0x0c987210, 0x83a87268, 0x92e48031, 0x684be349,
+    0xa7aeee8f, 0x70f0c0e1, 0x7160f006, 0x8aee42f7, 0xe3ddaa9c, 0xfd6b3396, 0xd6dd2fae, 0x667d9471,
+    0x4ac64cb6, 0x36fc1ba0, 0xf0d24af7, 0x7c21a1b5, 0xcb889fdf, 0x1119febe, 0x9ebdb8bc, 0x29d101f1,
+    0x7a9145b6, 0x95631bd6, 0xc9c199db, 0xe131973b, 0x69f23ec8, 0xd18dad85, 0x4aa65e62, 0x707dff55,
+    0x09bcdfae, 0x326744ee, 0xe1a45f66, 0xc863b799, 0xd98c852b, 0x51b71de3, 0xef229074, 0x8f087b07,
+    0x3df95606, 0xfdf5cef4, 0x6fddce87, 0xd0332e5e, 0xa21c5410, 0x0481f092, 0xd270b5aa, 0xb28663fc,
+    0x2680ea5f, 0x33441f06, 0xf805c506, 0x5d61a01b, 0x5dd3eb68, 0xc59b7f3b, 0xb895ab3a, 0xee7fdc92,
+    0x85d8e191, 0x6751977b, 0xc2fe6f92, 0x5f6ef0b7, 0x2550e498, 0xb3ed8bfc, 0x8de9dde1, 0x14870829,
+    0x1982f7ce, 0x8799aaf8, 0x573c70d8, 0x8250c8e0, 0x095695c0, 0x2014f744, 0x6623a333, 0x2c070f64,
+    0xf53fc6a4, 0xdb5aae2d, 0x4325af7a, 0x1796aea4, 0xb31313c4, 0x2b00d81b, 0x7c7880c3, 0x0bcc4aa0,
+    0xfc5fa4c6, 0x4c8cb65a, 0x0fd3c8d2, 0x60b4f419, 0x3e645107, 0xadd0d59f, 0x81c14ca7, 0x55663718,
+    0x2926ef7f, 0x498e2f9a, 0xdfd7d2e2, 0x830b1caa, 0xfee4027e, 0x5a40818f, 0x96f0633d, 0xe3a2e67f,
+    0x4484cba8, 0x7aa76191, 0xa419a037, 0x748e429a, 0x834de901, 0xeb66e43b, 0x8cb52986, 0x76baa21d,
+    0xb1039647, 0xa8d8f751, 0xc48046ed, 0x42a41399, 0xf93e7cdc, 0xa320cd0c, 0xe659eb46, 0x05065540,
+    0x4fd13d3a, 0xf5ea0da2, 0xd293f63d, 0xb608fb9e, 0xd0eac345, 0x3ac22dec, 0xd4c8f88f, 0xc183a241,
+    0x8d03edf4, 0x37833779, 0x3db57676, 0x1ce6715d, 0xae5eacb8, 0x46ba254c, 0x4eac0ae0, 0x885d98e6,
+    0x782240fe, 0x03c3ed59, 0xb834151a, 0x82cc54b7, 0xec62075b, 0x191a70aa, 0xd76e86e2, 0x163d4717,
+    0x7463ff1c, 0x455d1f6d, 0x7e48ba64, 0xdd86193a, 0x98d04e6b, 0xedc9f01f, 0x05a29690, 0xe7409d39,
+    0x6b7a4e1e, 0x267d6f34, 0xcc644457, 0x624ac1d1, 0x407be76f, 0x00b7f9ef, 0xd47bad5a, 0x27f4f823,
+    0xa0a124a8, 0x1aea32ca, 0x333dd816, 0xfe13c65b, 0xecae3a9c, 0xa193966b, 0xe92456b7, 0x7cb9b2e9,
+    0x3eebff47, 0xcb1e2220, 0x8aa6ed43, 0xaa7c29dd, 0xf8118dd6, 0x7d96478a, 0x379e570b, 0xcaa986f9,
+    0x2a0b2136, 0xc1ed273a, 0x8e727a88, 0x6e8b8b3c, 0x7e471f35, 0x852738ab, 0x15742d98, 0xa7d5d83b,
+    0xc27671d6, 0xf1e237b4, 0x141bc09a, 0xf51df3a1, 0xccdf506a, 0xead7661d, 0xfa8e9467, 0xca47c580,
+    0x8d16f357, 0x51ca250f, 0x623a1b17, 0x3138d80f, 0x97133a45, 0xe9646ef7, 0x67217172, 0x0332e0e9,
+    0x9b1f0f66, 0xb279bba3, 0x99c94b26, 0x77470c59, 0xe2e18c8e, 0xe3ef724a, 0x6a94706e, 0x2623673e,
+    0x3e0450c7, 0xd6e1fff7, 0x159ba2d1, 0x7461d9a9, 0x774b6469, 0x1257ce49, 0x363ec3cf, 0x7dc416c8,
+    0x6bd9daf7, 0x85690572, 0x8995bc54, 0x619e558e, 0xb0da8429, 0xd8eb8acc, 0x269f848a, 0xe0ccf4d5,
+    0xa1a37f1a, 0xf451484c, 0x81ba8854, 0xdadb6e44, 0x1fc8572b, 0xfb1b39fc, 0x5f9e16e3, 0x23a5c68f,
+    0xa8e83853, 0xddf79929, 0x489febf4, 0xbe773090, 0x79ca418c, 0x70095582, 0xde09845e, 0x7efe2e6c,
+    0x6e9d92a8, 0xfe88258c, 0x03947e27, 0xa09f6fc9, 0xe66df3a2, 0x5cf423e4, 0x2738f7b3, 0xec471031,
+    0x6e920594, 0x67ed4b58, 0x8a0dedb2, 0x2a6c8234, 0x50959848, 0xa8aa04d4, 0x0c137b2f, 0x3e53e1c3,
+    0xc425988b, 0xff591d17, 0x471a5ea2, 0x1e3d75bb, 0x6dfc6240, 0x991c79ef, 0x09f3515e, 0x0b504f7d,
+    0x81b4739a, 0x3949ec23, 0x603429e5, 0x2596aa49, 0xc55d5c7d, 0x11fdf7f4, 0x264b09d7, 0x61b6e918,
+    0xc8a8e889, 0x8eb598be, 0x1c38b1b0, 0xb3c094ad, 0x0381dba8, 0x2ea7c3b5, 0x2286690b, 0xd28f9f47,
+    0x4369b5c7, 0xc0cc87c0, 0xb194a61c, 0xe213e1cf, 0x6907e7eb, 0x163a8648, 0xefc59d86, 0x54ad60d1,
+    0xfb33f568, 0x5431cbd1, 0x36abaa87, 0x7069282e, 0x57530e31, 0xf0ac9f3c, 0xe5279937, 0x8eef7078,
+    0x2f4ad4eb, 0xf2585858, 0x4b66312a, 0xf1ef8c0b, 0x884538f1, 0x3be32e23, 0x0db1e6cc, 0xcd79b6d1,
+    0xc0858d9e, 0x10954e59, 0xe91d82f5, 0xa469a6cd, 0xd49106db, 0xaa424514, 0x73ef29a3, 0x58f1e557,
+    0x85176797, 0x2a2bee68, 0x64a3320c, 0x7354736b, 0x1d976499, 0xa1149579, 0xde2e5c01, 0x36c2ffca,
+    0x50ba4ace, 0xc876e61f, 0x4959ed9e, 0xba966d4a, 0x72b6ba85, 0x61027d31, 0x3533b4b7, 0x3ec2f5d6,
+    0xcfc61b74, 0x7bcc6e9b, 0x1d2704ef, 0xb5ade28d, 0xf7031bf0, 0xcff314b6, 0xa1fbb300, 0x534d7dd9,
+    0x0871d466, 0xe6ae7c99, 0x130e342d, 0x8da818b5, 0x3fdd0ff5, 0xda6f6cd4, 0x614dd89f, 0xa4cbce4d,
+    0x5f0ec487, 0x98447f76, 0x930b64a3, 0xceb63fd9, 0x1cd04c10, 0x201f4dc2, 0xd8b8ca0b, 0x2354b37d,
+    0xe9160bcf, 0x60b4d028, 0xe3696d78, 0x2dd914d7, 0x05f1e090, 0x9df12cc6, 0x283e3a4b, 0x03e67b8c,
+    0x9ec312f2, 0xd36cb2fb, 0x865b7d8b, 0xbd6315a3, 0xe0849dce, 0x2c499c11, 0x959fac42, 0x9d2a4e4c,
+    0x2830c591, 0xfb251256, 0x565311cd, 0x2bbe3cde, 0xd107b7b4, 0x32094e28, 0xe50abeda, 0x56d9b183,
+    0x5dba37a2, 0x269bc784, 0xf0f2bd55, 0xf88002bd, 0x24b68985, 0x235ed4c0, 0xfb6b68a6, 0x30c3cec2,
+    0x6141f730, 0xefcf4746, 0x2b48634d, 0x183b7271, 0x3610bb7a, 0xe4af0bbc, 0x9d241407, 0x284f2562,
+    0xd71b58ff, 0x11e42454, 0x319578c8, 0x1c4972b0, 0xef3e8354, 0x6fbc776a, 0x0243fae1, 0x7eb3a24a,
+    0x8bd34dd8, 0x30623a1d, 0xf4373214, 0x466500e0, 0x4160319c, 0x868d9bfb, 0xc05dbb0f, 0x8893a00f,
+    0xd42079ff, 0x680d4614, 0xaaced2ed, 0xa1d93acc, 0xc26f5d37, 0x2975e174, 0xc54aac35, 0x5b27d2bf,
+    0x879fd49a, 0x49ab36e6, 0x1f9718fb, 0x334216c5, 0x9c150b72, 0x93dba02f, 0xf1a0f078, 0xf7c872b8,
+    0xeb1cf2a5, 0x77ebb7e0, 0x07497d4b, 0xaa462294, 0x3877b87e, 0x8eb2a84d, 0x58eec773, 0xd52a533c,
+    0xe46d1a7b, 0xc826e35e, 0xd661ca3f, 0x4dad11ea, 0x0539b4f9, 0xb59f5801, 0x49d67495, 0x1eb71151,
+    0x82ab55f6, 0xa1bf4ea0, 0x483ca38d, 0xcba7038f, 0xa8c0e04a, 0x137d0862, 0x45a39ecc, 0x4a770946,
+    0x20b79d9d, 0x215c6a7f, 0xb2766839, 0x450645e8, 0x2751bf3c, 0xba83c519, 0xf6bc70b4, 0x0aa6df0f,
+    0x526ae827, 0x26be2e37, 0x5b733383, 0xe8b9caa0, 0xff50e556, 0x85d2b51d, 0x76786310, 0xe3e73e00,
+    0x65c71212, 0xc3a7ebe5, 0xd6a49513, 0x6f82f936, 0x0502f77f, 0x4cdd6b62, 0x7a6d04d6, 0x8ae6d527,
+    0xcec6865a, 0x36f3c02d, 0xe80ff546, 0x892522cb, 0x2f8a86f3, 0xe8d0bbfc, 0x6d903fd4, 0xb7767a2c,
+    0x1318d26d, 0xb64af58f, 0x064706a5, 0xbdf25e7d, 0x08ed2f2f, 0x20c01f91, 0xc19ddea2, 0x20821911,
+    0x19f75919, 0x68469b1e, 0xc0b68778, 0xe9daca8e, 0x05c03e5b, 0x9cf7d072, 0xbeecbeb6, 0xab7fe3bf,
+    0x0bcbbf13, 0x76208d21, 0x8efad35d, 0x71a09f80, 0x3f3e6f6d, 0x2ca049ed, 0x77afedef, 0xfba7d17c,
+    0x14fe34f7, 0xa820596c, 0x182f1b2e, 0x3094ac41, 0x26f94bb6, 0xe9ed1b03, 0x6a5548a6, 0x38df156b,
+    0x34ad3632, 0x8f234eab, 0x5e53e2a1, 0xb42ec619, 0xba5e4fae, 0x71d05fe2, 0x95f55209, 0xd5ab4915,
+    0xabc192dd, 0x3d2d7bdd, 0xfd82de9a, 0x318999a7, 0x03da0518, 0x0895f37c, 0xc9cb58c2, 0x56462119,
+    0x2cd27a85, 0x92d30db8, 0xd1719fbc, 0xe0e21d91, 0x308a3781, 0x8ddda834, 0xad5dff67, 0x78f33dda,
+    0xe36cf74d, 0x018e524d, 0x3b55a6b2, 0xd153c019, 0x1349bf1d, 0xc629c09e, 0xf80489b9, 0x1a7ccc70,
+    0x4c379824, 0xac955801, 0xd251528c, 0x858b3716, 0xf409b3dd, 0x5eecf9b8, 0x0643fab3, 0x8520d488,
+    0x41a457b5, 0xe62ad5e9, 0xc83ba952, 0x790f20a2, 0xe8d10ba4, 0xaeeeb3c2, 0xd11d2072, 0xc3e05eb1,
+    0x663b2f29, 0x1f8f599c, 0xf6836562, 0xb6c17262, 0x86b78678, 0x057de970, 0x97fcf109, 0xa7007ee6,
+    0x6ce36494, 0x1ed08a2e, 0x0d7a2184, 0x7c60802b, 0xbc82fb54, 0xd216b13e, 0x6f2c4d2d, 0x3026c1b5,
+    0x2129fc9f, 0xa17bcc5e, 0xd5a97a28, 0x4e6ac72c, 0xf9920c9a, 0x1795b8ec, 0x6ec179f4, 0x8c8e30f9,
+    0xbd77ad2a, 0x2f22c09b, 0xd56b0c33, 0x3edc2078, 0xb2fbeb2e, 0x1070d942, 0x1f4b5bfb, 0x50c08151,
+    0xa153c8a7, 0x9c927001, 0x5c59e366, 0x7f1c9b2c, 0xef45d28d, 0x4c2b15be, 0xb200ced0, 0x7b3ed205,
+    0x6df7a4dd, 0x63849f39, 0x94bf2594, 0xbc2d9090, 0x262e6208, 0x2e9d57bb, 0xeb53c0a7, 0x2ef7cfaf,
+    0xadd08eef, 0x103cdd79, 0xa596afee, 0x6db9e38c, 0xae1b3ced, 0x0901288c, 0xcff83436, 0x0b114413,
+    0x0c3172ef, 0x5869a87d, 0xd4d45cc5, 0xa17351fd, 0xf0f06e63, 0xcf381a69, 0xbfbf754a, 0x10094d7b,
+    0x87f3fb83, 0xf4d9fa72, 0x7bf9a6e3, 0xfb25ded1, 0x1302895b, 0xb971bc21, 0x15585d7b, 0x09fb81cd,
+    0x1fde23c8, 0xac9bf48d, 0x60a2c901, 0x865c1d04, 0x75ca0640, 0xc217a9a6, 0xbc528ec1, 0x2de3f06c,
+    0x0053b659, 0x55ca1da7, 0x85678a31, 0xed03fb3a, 0x63a17feb, 0xaa2eac15, 0xa643a6d8, 0xb65b61c9,
+    0x951bc3e4, 0x0820220c, 0xdd9049d6, 0xc6398bd2, 0x2ffb75ce, 0x1ab82bf3, 0x0ffb3ac7, 0x7ace6af5,
+    0x911c427b, 0x5cd6f9d0, 0xb764a1be, 0x7551d811, 0x57295b49, 0x94942c28, 0x85118ec4, 0x5739f695,
+    0xbc5e8667, 0x70d4e042, 0x8e16db76, 0x736f9408, 0x9e4586b6, 0x191a64c0, 0xe84b8ba1, 0x7fb6ad2b,
+    0x01bd575b, 0x3d98c9b7, 0x45144056, 0x3bb8ca0a, 0x82277092, 0x91781de2, 0x8d1fa7a3, 0x9e3de869,
+    0xeb8bf621, 0x4c78f99b, 0x82a298ca, 0x9067e7f2, 0xff80ca49, 0x8993c3ef, 0xa7b79201, 0xb75f737a,
+    0xfa9f9078, 0xfaed7f7a, 0xa2fc5d45, 0x497a57c5, 0xdca8226a, 0x9fc45770, 0xc60499c9, 0xad75b335,
+    0x07a1676c, 0xf667cd2d, 0xaf673835, 0xb7ec36bb, 0x18c349c9, 0xa7823948, 0x851c45c6, 0xf3a215df,
+    0xd5fd904c, 0x6b753d0c, 0xc3a986bb, 0x022450ac, 0xb183545b, 0x3cefc102, 0xd725f8d4, 0xe3e413bb,
+    0x3709b7c2, 0xc95abe3c, 0xfda794cd, 0x14d55511, 0xee0e6ab5, 0x47904f93, 0x8f61ce35, 0x377cae2a,
+    0x09305c50, 0x14ca1fb5, 0x14a33f9d, 0x9deebc03, 0x88c6ad6b, 0xb91dce6b, 0x8c19f60d, 0xa9586e41,
+    0x4d8a564c, 0x437b87f1, 0x35bfc166, 0x38d3c17a, 0xa5074dc6, 0x22cafbc1, 0x7d9f4bf9, 0x25fefd27,
+    0x482cc382, 0x1a434e27, 0xcc2c74b4, 0x8d6499c0, 0x2a23f5a3, 0xfed2e513, 0xae96f75e, 0x011f080b,
+    0x362b85d2, 0xfb7bed54, 0x1ec76de2, 0x656276ed, 0xfd21f29a, 0x36855b35, 0xb63cb124, 0x7125b7ff,
+    0xf6e40dd8, 0x7755ca95, 0xd9d4ee66, 0xfd98b80e, 0x7436fb90, 0x43b857e9, 0x7cab864e, 0x43fa2248,
+    0x21530978, 0x26673d33, 0xd8ca7c4d, 0x12e7523d, 0x350976e4, 0x629cbe30, 0xa0e8b6bf, 0x06a41071,
+    0xbcedc5b5, 0x897355c0, 0x963cbb1c, 0xb7465fbe, 0x8022b4b5, 0x595bc62b, 0xf9b3d33d, 0x0439fe7b,
+    0x45d893cc, 0x1f649f30, 0x367b29f7, 0x3ea32cf2, 0xb35ffda0, 0x31630cfe, 0x8c510c71, 0xa845a10b,
+    0xcbdd0e09, 0x48d9a766, 0x5ad53aa0, 0x3fbe8dd7, 0x5ad49d49, 0xd2ec79f9, 0x327b5bbb, 0x5e047712,
+    0xfb6c9912, 0x512ec578, 0xe05e9fac, 0x41222d1d, 0xa075c95e, 0x4e3fd65c, 0xa297cd5f, 0xa2161995,
+    0x159f2123, 0x3ddd9f4c, 0x5205ba63, 0xbee8d5f6, 0x1e8e92e8, 0x28de7014, 0xe1a02595, 0x05bd2ed0,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000001399840463861127631598401\
+                         42535527767382602843577165595931249318810236991948760059086304843329475444736 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257,
+    0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105cf, 0x0b3a0cca, 0x1fbd3baa, 0x3e747c48,
+    0x00000000,
+    0xb3b8437b, 0x35d3b788, 0x92228ff8, 0x3b1068ce, 0x7539db21, 0x661ba5cc, 0xe2d1264e, 0xdd83612a,
+    0xfaa30838, 0x09dade0d, 0x01c2d4f0, 0xe2e7c1d5, 0x4b0784d6, 0x04d8a10a, 0x1dbaf55b, 0x17f812a5,
+    0x69616396, 0x7cdd0dfa, 0x055f2c24, 0xda35d73e, 0x73b5fe57, 0xd569a813, 0xa5d9938c, 0xeb2059df,
+    0x1dac2702, 0x6a113f28, 0x0fd4f775, 0x30c587ee, 0xc093234e, 0xea69063a, 0xc9bb14d3, 0xca3c304c,
+    0x73b2203d, 0x75429533, 0x5266b1ce, 0x4ce43360, 0xba12170c, 0x95e4854e, 0x76bfdd1f, 0xf0a2d37d,
+    0x10126150, 0xa2ec0751, 0x5f0a8ca6, 0xb4a21b42, 0xbaafd10b, 0xcf13c97e, 0xc1e68684, 0x80ba391e,
+    0xf113b8de, 0x360a8c05, 0xc3dc1d26, 0xd8f6cb5c, 0x248cec00, 0x5bbf91a8, 0x151f850c, 0x417ce38d,
+    0xd998b472, 0x0f4b098e, 0x8987c7db, 0x462f3972, 0xb42c16eb, 0x9c7cd2b9, 0x511ff934, 0xb752afdb,
+    0x706ff93e, 0x5293e808, 0xa9fe5ae4, 0xaa866dc0, 0x9e67e458, 0x949e8f91, 0x1aea66a8, 0x9a515a88,
+    0x0cfc84ac, 0x70feddd9, 0x792e78e7, 0x45ecb317, 0xe530bef5, 0xf067226f, 0x6b3139e0, 0x1a533682,
+    0xe857126b, 0x762ef269, 0x0298cea2, 0xa7a989f4, 0xa4b0c4ef, 0xa87eb200, 0x1b7f2e0b, 0x247f5042,
+    0x573852a5, 0x33bbb3b4, 0xb8a24916, 0x146c5b2d, 0x26db8769, 0x38a57b4f, 0x883d5bfe, 0x5637a2a1,
+    0x1104d837, 0x302c394d, 0x813982e8, 0xbf9f860d, 0x97b76643, 0x4d1c8119, 0xae0a23c7, 0x30b97cda,
+    0x37a2a5cb, 0x4bb8bb56, 0x37157738, 0x7e9413bf, 0x6bfe9586, 0xef03c607, 0x988a5402, 0xb1399376,
+    0x42376783, 0x18ce3c1a, 0x84659948, 0x560453b4, 0x647ca426, 0x6e25624a, 0xdcf5e4ac, 0xba923464,
+    0x9525f0a8, 0xe8a20cc5, 0x0f160678, 0x8dfeac1e, 0xde905baf, 0x4696ea1e, 0xa976edf1, 0xc5a002f8,
+    0xd2a3e475, 0x082156b6, 0x4494cb37, 0xda6192e7, 0x7756f537, 0xc446e190, 0xc3f78e0b, 0xdd2afd8c,
+    0x5cc748a7, 0x78d0fdd9, 0x9d138034, 0xc98971df, 0x95ee5617, 0x22d0698e, 0x375d935b, 0xb296b956,
+    0x4e6429a3, 0x72850cd0, 0x99cdf3ba, 0x591c5f29, 0xe864e469, 0x0292f034, 0x24be11dc, 0x87af6bdc,
+    0x69ca2c02, 0xb78f1c78, 0xd9c58a83, 0xc978c8d4, 0xfad7e66a, 0x104153da, 0xb3d5392b, 0x60f02997,
+    0x8a19516b, 0x6fe15fea, 0x99ec553e, 0x7a44402c, 0x1a6a0474, 0xb9ce4c7e, 0x5cb3d5e8, 0x095b40dc,
+    0xa1c7de93, 0xd70c752d, 0x4373a41c, 0x740e1d12, 0xb94ed812, 0xfce24ea1, 0xbe32f81c, 0x8c39f1ad,
+    0xb62d8290, 0xd4d6804e, 0x2a0acb51, 0x8d437ac7, 0x03e9a3f7, 0xe2c9a9b5, 0x9f8e38fa, 0xec93be15,
+    0xb1968775, 0x34dacfaf, 0x9a978604, 0xde8d45c1, 0x2707c857, 0xbf0bb2ca, 0x7a032ca9, 0xe98d2131,
+    0x2e57e35a, 0xf229571f, 0x1f81f183, 0x0e152dcb, 0x50bbc2dd, 0x6d99f0bd, 0x558271f3, 0x01a781a5,
+    0xd46d08a3, 0x1b91c46b, 0xea1429c1, 0x07781585, 0x179e80b9, 0x0a421278, 0x23a0fd22, 0x796353ec,
+    0xe0534475, 0x7fbaf940, 0xe6e3b45a, 0x7bcb60fa, 0x35161e7d, 0xe20d7777, 0x4dc347b3, 0x8f19d719,
+    0x7d61404c, 0x59164322, 0x3a00db87, 0x85dad3b4, 0xbcea99e9, 0xa12ae7f8, 0x40dccb3b, 0x57dd178d,
+    0x9581c845, 0x48d2809a, 0x26bb0c49, 0x004027d2, 0x88e2a6c3, 0x382775ad, 0x1edf6554, 0x9b31c07e,
+    0xb010b549, 0xd2b4e5af, 0x416daa23, 0x5f7b9308, 0xf6d2f85c, 0x4fa0be58, 0xe7c31819, 0x795d3f92,
+    0xc666fcf1, 0xbbc9437c, 0xd0573dc4, 0x4933de84, 0xfdcc03e1, 0x9dd8c0e6, 0x2bad3f63, 0xce763eaa,
+    0xb863f539, 0x49de47dd, 0xf4428abb, 0xd4980e57, 0x8c390829, 0xe7a86bf1, 0xa036e24a, 0xf1768fbf,
+    0x3629a8ea, 0x48a8aa41, 0x73e06489, 0x5f46a443, 0xd7d72acf, 0x6215fc2a, 0x0b8d9045, 0x6d1f5051,
+    0x0d2c313d, 0x40f63222, 0xec54058e, 0x05a48804, 0xa846fa03, 0x7df7dec0, 0x27b59552, 0x706c639e,
+    0xbca89743, 0xd4bb91b7, 0xe81c8728, 0x640983b4, 0xdc8e006f, 0x5df377be, 0xca619d57, 0x3b9363ba,
+    0x37a1af53, 0xea0e0b8e, 0xc71784a5, 0x270c2d19, 0xb80c41b6, 0x74790a4c, 0x496df525, 0xb7ab40c6,
+    0x8b4fb307, 0x5140e467, 0x1fb10052, 0xd9f02610, 0x963047af, 0x3937cec6, 0x1369e9c3, 0x7ae1cabc,
+    0xce840417, 0x146a62c5, 0xfbe8ba03, 0x78197b59, 0xd6cafaff, 0x95af1185, 0x26692d6c, 0x5495d8b8,
+    0x95fd20da, 0x740b0009, 0xd4b7d67b, 0x2aa952ff, 0xf6ee0970, 0x29f8b932, 0xe9aa58c9, 0xbb46c40d,
+    0xc26a5789, 0x87c4907d, 0xa8d46f1c, 0xd4dd86bc, 0xb63ecc18, 0x0ad935b9, 0xde1625f7, 0xc0c56422,
+    0xef4ffb62, 0xcf223450, 0xf7d14341, 0x52c561e9, 0x54fec04c, 0xffd12151, 0x0395e6b3, 0xd9b4b95d,
+    0xceb40d53, 0xb48879b9, 0x8be54ddd, 0x31027269, 0xc15fc3d6, 0xfb4c82ea, 0xfb60c7ca, 0xe28eef74,
+    0x58ee8f9c, 0xbfe7d8f6, 0x4a0e2b20, 0xfbd5daac, 0x2e5e488d, 0xa549773e, 0xa52fdb10, 0x8a6bccdf,
+    0x51beb02f, 0x6a0f8685, 0x00bfdd2f, 0x3a4779c0, 0x269f73cb, 0x2d5e5ab5, 0x924caec1, 0xb1f4c77b,
+    0xcbb67183, 0xe13ebb9d, 0x2b0431a1, 0x77dbd4ab, 0xb485947b, 0x56ebb622, 0x1941038a, 0x6b09a097,
+    0x02997c1b, 0x3eb78800, 0x89479237, 0xf6f36a61, 0xf0355911, 0x1862cd91, 0x5473434b, 0x7f5455a5,
+    0xbd853009, 0x94ae3cd1, 0x4e29e6d7, 0xbde4ebd0, 0x7d8daa23, 0x117b0dfe, 0xff450142, 0x9ad97684,
+    0x965baae1, 0xf79973cf, 0xc2081429, 0xe1e3622b, 0xf6d0cd7a, 0xb5adbd38, 0xb01c4863, 0xbf9e295c,
+    0x0ac10615, 0x01bed9ca, 0xfbfd4060, 0x79c17700, 0xa70a845e, 0xb2d0f356, 0xeea4d8a8, 0x05cc9993,
+    0xe47f83c0, 0xad0a081a, 0x80050160, 0xed36caeb, 0x9782f21e, 0x972ac253, 0x0a697247, 0x739eb4ee,
+    0x91f40ac8, 0x6743a16b, 0xb83065b6, 0x65594551, 0xdb67c877, 0x64b78f23, 0x5152159f, 0x99fcad79,
+    0xad4c18b8, 0x6f1c2127, 0xdf1c9332, 0xaba05972, 0xb6c10b4c, 0x135827b8, 0xfdb2231d, 0xcb0f82e7,
+    0x7f87e5ad, 0xbf1d0896, 0xb8be7d61, 0xe8538668, 0xad6c9a34, 0x9e9c2998, 0x6981cf03, 0xea7cf41e,
+    0x026b402f, 0x5e513685, 0xfded5559, 0xc5c5f889, 0xef84c5b8, 0xc640aefa, 0xdc959a5e, 0x9a7d9ca8,
+    0xdc163ecb, 0x1c741658, 0x5fa1cd04, 0x56fd4cb4, 0xabc62b71, 0xa57200a1, 0x72a10f2b, 0x431d0108,
+    0x016681cf, 0xc6f28696, 0xf6cce6df, 0x2342d15f, 0x263c0592, 0x1f434d50, 0x21386c5b, 0x9305214b,
+    0x3d884693, 0x385d18c6, 0x6ac37e58, 0x3cc85027, 0xb1c08c7f, 0x66701828, 0x4279680d, 0x4d10e356,
+    0x346fe244, 0xf2399bf6, 0xa1afa9d1, 0xfc94b37e, 0xec57f59f, 0x8550e5f1, 0xd78dec24, 0x166acf4a,
+    0x2c811499, 0x4533299d, 0x30506ac6, 0x7ee1f4d1, 0x1beaa5eb, 0x76610e02, 0xbe1f63c5, 0xd55c316d,
+    0x5b8dd611, 0xbce361ac, 0xe87031d4, 0xc004dc62, 0x3cf81f0f, 0x4d225e91, 0x87328fdb, 0x7fe8ad56,
+    0xce9b2eb7, 0x26d89b47, 0xd46bf0f9, 0x089b068e, 0x5acf96eb, 0x23cc3607, 0xebf116f4, 0xeca8289b,
+    0x14b5d508, 0x71cf06ae, 0x95e977d1, 0x695a1be5, 0x310c6c0b, 0x47aa8fe4, 0x768bdb32, 0x92aff506,
+    0x588f2e37, 0x9a9f418a, 0xa76f0b13, 0x3b8794d9, 0x15adbed2, 0x5588a90f, 0x51fa7716, 0x4fd91ee9,
+    0x71c06e9c, 0x6863aeaa, 0x90bb7e07, 0xa0f04938, 0x701b6325, 0x478e3b75, 0x97482e9f, 0xf54773f6,
+    0x0d3d5c45, 0xa3cad426, 0xb15dba28, 0x40f88912, 0xa265ef9e, 0x4b3384d7, 0x5659a7ff, 0x4812aba2,
+    0x8341bbb3, 0x683f093a, 0x36650b64, 0x0c358e07, 0xedeef2db, 0x1b197160, 0xc4e6ed5d, 0x6cc91bf5,
+    0x060f1671, 0xe684f8d3, 0xe01acb52, 0x40a604d2, 0x0be9112f, 0x1fc85714, 0x68f4e38f, 0x19c2aa40,
+    0x49e75139, 0x83702c75, 0x35524f9c, 0x6fd8b602, 0xf98fb679, 0x91e142f4, 0x863b051c, 0x8a40a4b8,
+    0x7b6a5937, 0x6a3a5ef5, 0xb3409515, 0xa685e167, 0xb6e235c6, 0x7d9822d0, 0x9aa58a30, 0xd83f2ec2,
+    0x963c73d7, 0x56c75dd1, 0xa092a12a, 0x225abc16, 0x6cbeae1d, 0x833f4c1f, 0x0252958f, 0x40a5b878,
+    0x01402d7c, 0x3fdd2cca, 0x9b87ab98, 0xa9c019bd, 0xa13f6657, 0xcaf03aea, 0x879558c2, 0x53fd5ad1,
+    0x1cfc9a5c, 0x73ef51a8, 0x5096e772, 0xead40782, 0xa25d2a06, 0x62cd08a5, 0x6b2e9022, 0x94eed224,
+    0xa841dee7, 0xcf61801d, 0x08c841be, 0xcb90d255, 0x2b23525f, 0xf4097309, 0x1e59ea96, 0x03f4dbc5,
+    0x058cd09e, 0x7b1a251d, 0x73d731aa, 0x983df7d5, 0x1829a0ac, 0x9493bea2, 0xc5aa3566, 0x7b050408,
+    0x0ef7da7a, 0x5c578e14, 0x145f349e, 0x121c4f8e, 0x62a271c6, 0x4c70fb6c, 0xb5ebf1c5, 0xc7db0006,
+    0x4802a091, 0xa42b3caf, 0x9da3c7c1, 0x7d3b133a, 0x4f589381, 0x48ec0510, 0xcfc2519f, 0x84f855a2,
+    0x21005d77, 0x195ee941, 0x6858aee3, 0xf1eeb40a, 0xfb06aff0, 0x5088f039, 0xfc9a4111, 0xf913bb5f,
+    0x72ba57e3, 0x10af21b2, 0x8634cee7, 0xb6538682, 0x951b0fe1, 0xe2eb4a68, 0x67ca9e66, 0xfd33af5e,
+    0xfdc3b51c, 0x473ba9b2, 0x0d3fd179, 0xa2a1da95, 0xcdcfae2f, 0xb83bb202, 0x2a9a4fcb, 0x8372aaf8,
+    0xa83b275f, 0x514c0d23, 0x975902e4, 0xb7a1940b, 0xa758d423, 0xfe3577b7, 0x10312ce0, 0x3ccaab41,
+    0x9d388ae6, 0x9b84c3c5, 0xa4e5c4c3, 0x9ad40aa1, 0x23a2001b, 0x6d612187, 0xb6286627, 0x8502a601,
+    0x08332eba, 0xbcd18001, 0x13444381, 0xc3af24bb, 0x1af2a772, 0x01655945, 0xcfe6edc5, 0x7741c793,
+    0x0db44e96, 0xb8a112fb, 0x59ad6dda, 0xcbb273f2, 0xe1973e8e, 0x24049256, 0xb0adf9b2, 0x5ccdb21d,
+    0x620db1d7, 0x54acaf01, 0x8b924f69, 0xc4684610, 0x4b2cc5e8, 0xa38c50d4, 0x87425bbc, 0x9f22214c,
+    0x0183a2c0, 0x99fd40b6, 0x26b2c1bb, 0xae0af2d7, 0x34352658, 0x54955032, 0xb3f2a3ca, 0xe15f969b,
+    0xe1a36b24, 0xdf47499d, 0x03f349c6, 0xe4c0bf88, 0xe060b422, 0xaf9b2c85, 0xc337c15f, 0x576f85b1,
+    0xf68cdd7c, 0xbfe50408, 0x96fd460a, 0xa0b2957e, 0xf81b810a, 0xe559d4bc, 0xd2c79a0f, 0x11bfb472,
+    0x1e7fd387, 0xb54515de, 0x959effe5, 0x21ff0d26, 0x8a8c37d5, 0xfae1468b, 0x5c4ea310, 0x3a9caa28,
+    0x3f8f2c7e, 0x2c7998a2, 0x4ffc6c84, 0x0e0ad0d2, 0xa029f959, 0x9939beb3, 0xffad87b7, 0xb66d8d0e,
+    0x25f663e8, 0xa64e2376, 0x12358601, 0xa715ffe2, 0x13bd1e8e, 0xdb5f9a4e, 0xa53a5a67, 0x8c6b720f,
+    0x7dec050b, 0x69ecc0d5, 0x56cc07c8, 0x02421f49, 0x0612ccfd, 0xa5c67a36, 0x75609ed7, 0xe15367a9,
+    0xbc9f5dbd, 0xdd2ed689, 0xe45e2f3a, 0x77728ebd, 0x69f81e93, 0xfdab1238, 0x2c6d6392, 0x0434ebc9,
+    0xe4240616, 0x8494b935, 0x404f4fbf, 0x805c078a, 0xe820426c, 0x33f854aa, 0x65d4903c, 0xdcd925d9,
+    0x51340b7a, 0xee49c510, 0x72ec48de, 0x9abc0876, 0xdc293cd1, 0xdf5283f4, 0x84a34c01, 0xf4980b3a,
+    0xd8589778, 0xb0b22615, 0x2e8aa09e, 0x0816424a, 0x3a4ec53f, 0xc26fe3e2, 0xc80ce29b, 0x48355bfe,
+    0x98c22105, 0xe6fc03b9, 0xe997139c, 0x5cd0aa54, 0x717a2bc6, 0xe310a258, 0xdea93c85, 0xe1f4975f,
+    0x3f3bec8a, 0x97db915f, 0x32c343aa, 0x21fa5e0b, 0x2bbe6acb, 0x948be2ee, 0xe830fcf3, 0x19ed3539,
+    0xbcdb447c, 0xdd7c467e, 0xfc64bd83, 0x580189f1, 0xec68db02, 0xab6daf8a, 0x41a652f1, 0xe00bff46,
+    0x4c33261f, 0xa5b685cd, 0xfba96e5a, 0x365f0507, 0x0ae3f818, 0x3ff89bec, 0x292716ab, 0x1b31fa0c,
+    0x53f3dd52, 0x803d40ca, 0x6cf83c7c, 0xff4220bd, 0xc34e3ede, 0x2f529fac, 0x7a9c9ff9, 0x88b76aa1,
+    0x7c9a9e1c, 0xfd923c52, 0xb6d845b4, 0xe6a5325e, 0xbe3e63fc, 0x5d2505b9, 0x882b4614, 0x1b37dbbe,
+    0xfe96569a, 0xe0d5d1eb, 0x0fd8c46f, 0xe3f51068, 0xb42b5882, 0xa99dffe7, 0x2f00fe84, 0x57654c7a,
+    0xdbf9a5c3, 0xffaaa2e5, 0xef021a73, 0x13b73dbc, 0xc51c8125, 0x3e9ef6b7, 0x576b1f8c, 0x7a9923aa,
+    0xe2abba16, 0xf99d06e7, 0x6186c322, 0x719d177e, 0x08026c93, 0x78fec65e, 0x6b01aa32, 0x11bb2445,
+    0xeac2de7b, 0x1fd8007d, 0x65a68413, 0xe1db97f2, 0xb8177605, 0xb7d3e03d, 0x2bcf3198, 0x91ccbf00,
+    0x4bcb879c, 0xef79460a, 0x0534c377, 0x85739ba9, 0x5b214031, 0xdc05b093, 0x5226f26d, 0x70871dff,
+    0x73a590cc, 0x36b5c45c, 0xd002dfb6, 0xf0f61706, 0xa3a2b07d, 0x35d0c408, 0x85ecfece, 0x011691fb,
+    0x8fa972b9, 0xa88df9d3, 0x1c505bfb, 0x44fb8c4a, 0xf4872682, 0x86458a9a, 0x7db55a12, 0xca9d4f92,
+    0x355e3ade, 0x3c230c4b, 0xbee9ba13, 0x41b822ff, 0xa8750517, 0x2bd8eb27, 0xba581fa4, 0x5db255e6,
+    0x6c6bef5e, 0x2fd95bb6, 0x00825bd3, 0x942797e4, 0x0ae5802f, 0x8c605fde, 0x00c2d4e3, 0x332f398a,
+    0x841c3cd5, 0x7ca0195d, 0xc37c4e85, 0x68723f9b, 0x5c5adb82, 0x9a36d432, 0xf8b9b888, 0x7d0e2746,
+    0xf3e10ba0, 0xa727244a, 0xda1d2bd7, 0xc3d192a2, 0x0408b53c, 0xb94bcad0, 0x756b0f09, 0x40d618fc,
+    0x4441ee63, 0x66e4f8ce, 0xf8c7910d, 0xf94a2f85, 0x34424fe0, 0xd2694cef, 0x40ff8105, 0x6d16fd63,
+    0xbfaf049a, 0xc76c6fee, 0x4b22e61f, 0xaf885164, 0x6065cbf9, 0xc245d78a, 0x54968e17, 0xfba44339,
+    0x9107f805, 0x8d620e2b, 0x1f1ce9b2, 0x61ab963d, 0xb94cb042, 0x40084282, 0xcee554c5, 0xdd711957,
+    0x54a95959, 0x6f8fdba2, 0xd1d1e55a, 0xd16604d9, 0x2984778b, 0xadffa46c, 0x8cdf2908, 0x1e8db4d2,
+    0xec386fed, 0xa728077a, 0x09f6e088, 0x47c3a17a, 0x7895e6f9, 0x7dd1ea00, 0x4ee5a170, 0x7530fd00,
+    0x3fa13cf4, 0xc8332ab2, 0x1810cd38, 0x76f38fac, 0x1a0ccd40, 0x27001cd8, 0xeaea98b9, 0xf12882d1,
+    0x11a4ab53, 0xfa074004, 0xc3f2232e, 0x15185d0f, 0xee547512, 0x7357067c, 0x7718b70d, 0x5fcf3711,
+    0x744ee0d6, 0xfb7b4d52, 0x7b835ad8, 0x11f4a361, 0xee24d156, 0xcc2e1275, 0xcdf4c88b, 0x3295a922,
+    0x3426fe2c, 0xf38cb2ab, 0x70379d83, 0x7e6a18c0, 0x8817bc2c, 0x44ba8570, 0x765ddf57, 0x1b515ba6,
+    0x0dfb4c33, 0x6338b839, 0x6ecd731b, 0x9d79e02e, 0xd1c39ac5, 0x67e20646, 0x8fb26b9d, 0xf3f1aafb,
+    0xdc9e7a3b, 0x2dc7669f, 0xdaa73cf8, 0x9444c94e, 0xf9545334, 0x39bf4345, 0xae4d634b, 0x76dccfa0,
+    0x2534d2a1, 0x624fc6cc, 0x51a73a61, 0xc411c116, 0xc80d28e7, 0x91b621f0, 0xf9b8e0ad, 0xc8c2e13e,
+    0xdbd348fa, 0xc8f2c069, 0x7efa8e0a, 0xb160d082, 0x8b6000f8, 0x803de467, 0x230c075d, 0x489aa6cc,
+    0x51958b8d, 0xcf90cf1e, 0x497a99ec, 0x2215a119, 0x7771a93f, 0xafc89da6, 0x4ab1d41b, 0x766f8cab,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000699920231930563815799200\
+                         71267763883691301421788582797965624659405118495974380029543152421664737722368 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b,
+    0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e7, 0x859d0665, 0x0fde9dd5, 0x1f3a3e23,
+    0x00000000,
+    0xd67ed08b, 0x8524ddd0, 0x6c6773f3, 0x2d24b8b3, 0x43bb0cbb, 0x08b1663a, 0x9dc3bbc4, 0x6b525c8d,
+    0x8e6602cf, 0x83e6566c, 0x046af9ef, 0x2fa7cdd7, 0x9000a7a4, 0xab96bd14, 0xefa57b8b, 0x50928aa4,
+    0x01bc80ca, 0xeb374dd3, 0x01292b11, 0x58f66383, 0x4a03c874, 0xa0e598f3, 0x2e08cc8c, 0xc12dc491,
+    0x662b9080, 0xe5448f4b, 0x0e91e732, 0x9a7c8211, 0xd4d96c7b, 0x1e4cdce9, 0xacf5e73b, 0x833f15a6,
+    0x9e7762ce, 0xdb02dc47, 0xf10b153c, 0xf737d9a0, 0x0912adc1, 0xb781c8ff, 0x5a88f754, 0xe08c9a4f,
+    0xe6eee852, 0x4c773a08, 0xdb5ec41a, 0x24daffff, 0xf8410570, 0xc1d8fd8f, 0x83451be8, 0x20685cbb,
+    0xed9244c2, 0x32b02463, 0x3bf50c66, 0x6cad0089, 0xb63375f7, 0x2e12f0bb, 0x5e86102e, 0xa04af7c7,
+    0xa008307a, 0x6a6b738f, 0x5256a50f, 0xb7acfc8d, 0x56a69777, 0xf28a6dda, 0xfd854f85, 0x5f39df4f,
+    0x54259c6f, 0x3b8e912c, 0x711838a7, 0xa391f4cd, 0xa0f104e0, 0x5ebd81bc, 0xeefd98db, 0x4ff6e85b,
+    0xdb5c286d, 0x88255b64, 0x0881fcfa, 0xad37a1a5, 0xb6713183, 0x81f692b5, 0xcb625000, 0xd3337421,
+    0xdd35f992, 0x3aa88678, 0x4bdd74eb, 0x03ce7757, 0x2bf72f22, 0xcd9854c2, 0x8e11da6c, 0xd4cca4fc,
+    0x67c5f328, 0x15b5e481, 0x0bbccb0c, 0x086d34b5, 0x9e27fef0, 0xff415cd3, 0x37b71f30, 0x3cf197bc,
+    0x4cbcabb4, 0xe669a12a, 0x77b6658e, 0xb4aea4b4, 0x44b83d6b, 0xd0455d9d, 0x065343be, 0xa8e65af9,
+    0xbaca589e, 0x6b0ff89b, 0x9955deba, 0x6aba801b, 0xaa9720ad, 0xc058f1c8, 0x2e62d306, 0xffb1907a,
+    0x59c1bea5, 0xa4c603e5, 0xf0636f45, 0xa024734d, 0x6bd57e5f, 0x035aa79a, 0xdb764de0, 0x9a465851,
+    0x335915e5, 0x5df6cd36, 0xb167d5b2, 0x84eb73c1, 0xff97d70e, 0xd9d2d786, 0xa524dcca, 0x3dc319ee,
+    0xeb9d1d96, 0x45962294, 0xa9c8c915, 0x446e0b8b, 0x550a3e83, 0x403903f3, 0xf066b197, 0x26563e11,
+    0x2ffbc102, 0x78627958, 0xfd95c2ad, 0x212fc1f6, 0x5de23826, 0xa179345d, 0x2fbed3e7, 0xe0e4ccc5,
+    0x0c013df5, 0x9f0f4a40, 0xd8214edc, 0x06c4b44f, 0xd10dfb80, 0xaad75d00, 0x7fa52880, 0xa3a80aee,
+    0x251af1d7, 0xaf4516a1, 0x304b3070, 0x2f6184bf, 0xb3599ab7, 0x69710932, 0xeb6c5a62, 0x96203e05,
+    0x1246d0fe, 0x051e0a0d, 0xd4cf3c69, 0xee684200, 0x91913e5b, 0x23495f72, 0x8ff64627, 0xd009830f,
+    0x053b5a80, 0xccedfa09, 0x8c2210c2, 0xc7c0e56c, 0xc0843958, 0x24049b48, 0x04e075bd, 0x6ec0e290,
+    0x4e922833, 0x1e048811, 0x505567c4, 0x14b9460e, 0x17a7e005, 0xa489468c, 0x8838a6d5, 0x5dd9b3f5,
+    0x5c12f671, 0xb329aaca, 0xa0814732, 0x536b854a, 0x20389b83, 0xc657ac11, 0xeec26eb2, 0xa1f34d6d,
+    0x2188bf34, 0x69508f5c, 0x5b8d744b, 0x6bc9c582, 0x8db51917, 0xc9a01250, 0x070eb73b, 0x26586458,
+    0x7d255de0, 0x1a4c1469, 0x69457e93, 0x1757d243, 0x8980878a, 0x0f21f81a, 0x72041677, 0xfd83555d,
+    0xaa30afa5, 0x73ef4e49, 0xf7c7f856, 0xdc281519, 0xb184fe56, 0x8397d79f, 0x44af05c8, 0xe34370a7,
+    0xc27f56ea, 0xe82746b2, 0x84e71e06, 0xea24d65a, 0x6f518e7b, 0x74cec9a3, 0x6d0416cd, 0x82671fff,
+    0x2e60061d, 0x4f6fdad4, 0x6caa4b6b, 0xa852e20f, 0xbbd1c1aa, 0xd32d2ec3, 0xe094f4bf, 0xcf13cd74,
+    0x6daad860, 0x1403fa7a, 0xd144dc9b, 0xc38debc0, 0xa9370e3f, 0x378be667, 0xdc842d83, 0x5d57dc0d,
+    0x6dcfc1da, 0x2f074b34, 0x3cc3d3e9, 0x9c913bbd, 0x281843e8, 0xa8c80ff2, 0x955f8564, 0xbab6cb71,
+    0x154f89e9, 0xdff5a9de, 0x49d88d75, 0xe495a14d, 0x6d5a1712, 0x0fde8aed, 0xee86c29d, 0x46031f6b,
+    0xc982de48, 0xea51dde1, 0xb3664f44, 0x75f037b2, 0xc759e75e, 0xc0870501, 0x0630aae6, 0xc6013c96,
+    0xa13bfe4b, 0x71aae302, 0x55389ddd, 0x57b08567, 0x2f46ba8d, 0xea5d918d, 0xdc7da156, 0x10c1c1ba,
+    0xacad8bc3, 0xa623b14f, 0xd39f2eec, 0x2d28d2c7, 0x2bfab633, 0x1b1eb7dc, 0x7cd6788c, 0xa23e67c5,
+    0xedfa5a0c, 0xc7380bcc, 0xabd63a60, 0xa8f24929, 0x2b8e65cb, 0xad316938, 0x66802eaa, 0x040c326d,
+    0xa85de11e, 0x70015aab, 0x834b25a6, 0x1f4b4d6a, 0x99c10823, 0xd804b15d, 0x80792265, 0xb68ed410,
+    0xdc2cbecb, 0xad243889, 0xfb077a87, 0x49db366d, 0x9ed451b3, 0x72d87e5a, 0xce9ab276, 0x63d41e2c,
+    0x1dfe1713, 0xd15786f0, 0xf7ce6e1b, 0xda97c619, 0x75039c97, 0xe7893bff, 0x2eba63d1, 0x6eacd209,
+    0x5bc81577, 0x02ffcbf2, 0x1cfee02a, 0x4fd991e1, 0x6296aa6d, 0x0d9a1707, 0x6fe90fad, 0x431392b7,
+    0x62c2b964, 0x4b30ffc3, 0x9507e66b, 0x913a8128, 0xe52a38cb, 0x8757de15, 0x3dbe2fa0, 0x927f7283,
+    0xd1c5b23e, 0xfd1fbc11, 0xdf29d0bf, 0xfb4220be, 0xf99b6500, 0x18f05a0a, 0x28055a15, 0xe4972279,
+    0xd91a1d22, 0xdae61ae2, 0xc212fa55, 0xd7cc3013, 0xf39b8b52, 0x2f63d3ef, 0x3dd3eb41, 0x3bed96fe,
+    0xd3f13377, 0x0926849e, 0xbf902416, 0x70ca3d8c, 0xf7893881, 0x7caf3852, 0x20aa26e9, 0x55eef75a,
+    0x9aa287a4, 0x6714e5e2, 0x32a5fe22, 0x16c0e18a, 0xdc9c9fd6, 0x4e65538a, 0xccd71d29, 0xab760290,
+    0xeea71326, 0xed04d7da, 0xb605523d, 0x94260220, 0x90ef8bc8, 0xe18b7510, 0x4aedb829, 0x195c6277,
+    0xbd4167b4, 0x3ade3689, 0x96971a70, 0xa89c133b, 0x15c34541, 0xc780621f, 0x0749595b, 0x30e55fff,
+    0x5639424b, 0x9e1c3c14, 0xa0a1584e, 0xd6e59cb9, 0x314844bb, 0x198d1117, 0x0f8f9fd7, 0x3f68a010,
+    0x9b5ffd71, 0x062c63f1, 0xf29b5c3e, 0x6bad115e, 0xf2477530, 0xb2051152, 0x8744a41a, 0xa284ed01,
+    0x6a7ce86b, 0x2645af92, 0xe0667bb7, 0x219bc571, 0x505dd102, 0x03f4e600, 0x3b2a779f, 0x00cc2144,
+    0x5b327014, 0x1ff34023, 0xe5e9bf0e, 0xe9b2ed98, 0xb78f53e3, 0x9fed05a2, 0x33e263cb, 0x5a755d00,
+    0x7c1b2968, 0x913b31f3, 0xa18e2112, 0x852d0ba0, 0xd5890f15, 0x5b46605a, 0xe6890c7f, 0x6b165302,
+    0x7bcb23df, 0xde36791f, 0xc318e5be, 0xc14e434f, 0x3f302474, 0xfa9850bd, 0xd718bfb2, 0x3f14ed40,
+    0x3dcb96e4, 0x123156d4, 0xae198221, 0x739c653a, 0x800cb91b, 0x9576bb9f, 0xa1d75a61, 0x4d598572,
+    0xae351036, 0x1586d1df, 0x0afd96fd, 0xd6e3deda, 0x5b221616, 0x6e573232, 0x8950b6d4, 0x5dd4ddbc,
+    0x76082323, 0x24efb992, 0x22afcbbf, 0x82979aa0, 0xb3154cc6, 0xcca1d238, 0x833f98e0, 0xc1e73368,
+    0x110a9da8, 0xf8e2703b, 0x6bad0fe8, 0x54071237, 0x9f4bb8a6, 0xe87f34d5, 0x3e875c54, 0x40d4b7a3,
+    0x8522069e, 0xf0742998, 0xfba981e1, 0x475bbc63, 0x43a96bed, 0x3a2242e2, 0x02096fef, 0x0d495630,
+    0x249f9d3f, 0x7ae70345, 0x16ee0860, 0xb0c68b6e, 0xd496db23, 0x3976e9da, 0x49d5bd66, 0x272155e3,
+    0xc63167d4, 0xdcb1de8f, 0xff078768, 0x52702aee, 0x1aa2898d, 0xea01cc24, 0x25294001, 0x745fb52c,
+    0x108cfe93, 0x86b57e62, 0x26ac48de, 0x40c26057, 0xbcbcf8aa, 0x1b2a8f80, 0xc3586b00, 0x54ca7f2f,
+    0x0731b5d5, 0x94642329, 0xc225afc4, 0x4d720cd1, 0x46f9a62e, 0x7734d0f5, 0x3b2b1b56, 0xc12dea5b,
+    0x30818e71, 0xe290a351, 0xa0abbb59, 0xdd2069d0, 0x1c43f4b5, 0x95d5b9b1, 0xfaf185d8, 0x38fc3f10,
+    0x7098ec1d, 0xd9516c98, 0x2ac2f1c9, 0x20fea1c1, 0xf560cd45, 0xc12c865c, 0xc94026ff, 0xac62d1ac,
+    0xb06aaaed, 0xdf62391a, 0x98bdc69e, 0x00a873ac, 0xb55b6e95, 0xdd789182, 0x3e1a2453, 0x208460c6,
+    0xb9a10d1a, 0x02a9c5fe, 0xa302b25d, 0xeaff828e, 0x46a26147, 0x8655288f, 0xa01535e9, 0xd11fc79e,
+    0x654910b2, 0xc7c4f550, 0x33bac433, 0xd8bd4366, 0xfd0c754a, 0x0b615a81, 0x0e42e86d, 0x97d740d5,
+    0x824977ee, 0x5aaebd30, 0x937f1838, 0x0ab51c86, 0x45df8b4e, 0xb33d43ea, 0xa8e31658, 0x3d360f6b,
+    0xc636d6e4, 0x399e52f4, 0xd2d46c66, 0xf67ad374, 0x7a0e4f8b, 0x4329ac1e, 0x621df753, 0xf1cc5c2e,
+    0x46d345bf, 0x1e760c4f, 0xf3a53c36, 0xd41c5336, 0x01493f20, 0x809cedee, 0xa064edb2, 0x8ba83cf3,
+    0x5058e250, 0xc6dfae57, 0x35201e3c, 0xcd34a7c4, 0x3d23e021, 0xdda70dd0, 0x9eb64179, 0x22920b86,
+    0x2b96f3db, 0xa2520dfa, 0x7a18a79d, 0x3f2b7753, 0xabec481d, 0xed6478ab, 0x1859ffc7, 0xb54c48a0,
+    0xcd08b335, 0xbdc95a9e, 0xdd55ce4e, 0x02327cf8, 0x05c6053b, 0x4d3f49de, 0x04f18b8a, 0xc347b1e5,
+    0xf7fd1aaf, 0x866c43d6, 0x169e87c4, 0xaacbd892, 0xf71a7521, 0xcb926808, 0x1cd1d3cc, 0x64684c95,
+    0x07fa9afc, 0x4b708fe1, 0x0ce69648, 0xedac807a, 0x6f5304cf, 0x6c4e7693, 0x0d4caf16, 0xa3794bd1,
+    0xe5940c4a, 0xf7e92bd9, 0x50d5a2a3, 0x2ca20a36, 0xd4cf1fb0, 0x352d8c23, 0xf63ed88d, 0xfeb5516f,
+    0x3efc6cfc, 0x50f325e8, 0x080103f0, 0x18de8e6b, 0x6be80d9f, 0xb5d4a07c, 0x926eaeaf, 0x6a14765a,
+    0x4dccfe75, 0xb0dc10de, 0xb5b3cde3, 0x11588935, 0xc16280cc, 0x3159d41d, 0x50a2b249, 0x40c126b8,
+    0x580edeb5, 0x0ce4ce4a, 0x57e6638b, 0xd0f92925, 0x8a55597d, 0x76a26333, 0xc995e3d7, 0xa15c7fad,
+    0x98c28d83, 0x8f9522a1, 0x4f663e06, 0x53a8b31e, 0x83253c11, 0xcd9192a2, 0x1a7942e9, 0x33a8ee87,
+    0xd8a7d898, 0xddae8246, 0x91123642, 0x959e1251, 0x3c3b6db5, 0xb6b9e901, 0x9050cb79, 0xb164ff9f,
+    0x5c3ae4af, 0xa5897854, 0x50c84092, 0xc3d6caa1, 0xa85115a4, 0x2c743b99, 0x6af3ecbd, 0xeb0c75d0,
+    0xe0b3dab0, 0xee6b4872, 0x4d9191a2, 0x38238270, 0xd9936b0a, 0xa7722fc2, 0x513bea88, 0x4cf21ffe,
+    0x99733fd2, 0x0b665af4, 0x15cefd61, 0x1e6a3adf, 0x45e7269f, 0x67cf77d8, 0x56bc5439, 0x51b933ef,
+    0xe273bd5d, 0x0b60ab70, 0xbbf4cf38, 0x956c7729, 0x53346777, 0x69980294, 0x76ecef73, 0x6bc1796e,
+    0x79cc3326, 0xd6e970a2, 0xe4d5e6c0, 0x0671a4d7, 0xc2652c7b, 0xaeff0b19, 0xcb6b015e, 0x5c6f75d6,
+    0xf7bb200c, 0x72e66eff, 0x03a783ee, 0x2f6a17f8, 0x520cd7bb, 0xfb1f86ea, 0x0ca48d55, 0xd0af1caa,
+    0x60aad9df, 0x47d48a2c, 0x1ba5c539, 0xd2e1b064, 0xf7da7ef5, 0x61d86f93, 0x31a6caf4, 0x6d47bd45,
+    0xc9a6dcbf, 0x2f6b07e9, 0xe9f9fa54, 0x5998e520, 0x6962bada, 0xa24a48ac, 0x0743095c, 0x2cde31d4,
+    0x381f0e01, 0x2615d46c, 0xb7af8ff1, 0x419a2d24, 0xce5ac7ef, 0x84ba1b62, 0xc7ced332, 0xf443d701,
+    0x7056b337, 0xaa3ce673, 0x92192f48, 0x2e7d6b76, 0xd8c55aac, 0x7201e5ad, 0xa49441f5, 0x16563718,
+    0x7c5423a2, 0x840bb7da, 0xffcd773e, 0x45da9d0f, 0x60192e69, 0x38ab8515, 0xfa92d5c7, 0xee0da598,
+    0x9a3522a3, 0xcd6c27e3, 0xa25769cc, 0x5996d947, 0x4c43126a, 0x44e1d0a2, 0x5c3218c3, 0x99132bed,
+    0x2633eb3e, 0x1e86337c, 0xcf6c3ea0, 0xda8c4ffc, 0x49c600a6, 0xb85894b5, 0xe0a4250d, 0x74268fc4,
+    0x039c7be9, 0xfe34dae8, 0x7aa2692e, 0x6515a84f, 0x5f3ea20c, 0xaab22298, 0xdcdb05ff, 0x1c325c77,
+    0x2415f4ef, 0xe8b72f6a, 0xd674a39e, 0x3a9ac359, 0x80a4b2de, 0x4edb9654, 0x51d59c0a, 0x1f07c582,
+    0xf2a95abd, 0x9bfd561c, 0x9463bb66, 0x1852c56a, 0x22ab682d, 0xcaff4dc9, 0x5b624a1a, 0xb4ec07e6,
+    0x4ccd9ff1, 0xe4e2f565, 0xd9612e64, 0x1376148c, 0x18fec2ec, 0x6e0cf434, 0x8fc9fa56, 0xceeb6d39,
+    0xd5ca739f, 0x05250929, 0xa30453e5, 0x11ecf75f, 0x33d8a935, 0x524ed0fe, 0xfcb72d43, 0x1af67106,
+    0x2e235d5d, 0x39af07f0, 0xa8b43154, 0x700acdf4, 0x6e13adfa, 0x9407fbb3, 0x49d83ba2, 0xf81c000f,
+    0x16d43994, 0xc23049d7, 0x6b52df1e, 0x3d1584f3, 0xfb8f2074, 0xed6c8f74, 0x43d42cb6, 0x0b264897,
+    0x0c65fa05, 0x7a9b0de9, 0x92503f54, 0xbdf8ff88, 0xa37f39f7, 0x832a49f2, 0xf394be72, 0xbca8002d,
+    0xfd86bc0c, 0xf1affb3d, 0xa270704d, 0x4fb9eea5, 0xe48bf67a, 0x41325963, 0xd768b2e5, 0x16cc863d,
+    0xbdcbd288, 0x0b5a2df2, 0x7852b57e, 0x9d23e716, 0xddba13f9, 0x5599e8bd, 0xbb42a60c, 0xbb5b2844,
+    0xae66debf, 0x2926385b, 0xbba991d1, 0x579baddd, 0xa85aa485, 0x69207fbe, 0x2b2ca220, 0xa2a954b4,
+    0x9e760b9f, 0xa14c36ec, 0x0ee35878, 0xce967a09, 0x15d3b034, 0x43d3928d, 0x388f1f37, 0x36f3acb1,
+    0x64485a1f, 0x31c3628d, 0x4271d820, 0x7a417fae, 0xa76acddd, 0x270b7830, 0x3fb5343f, 0x2747f9f2,
+    0x4ef097bb, 0x4dd7376d, 0xef2132db, 0xc8237fed, 0xbb681b68, 0x5eb6c86d, 0x88064f00, 0xae59cbee,
+    0x8d4778bf, 0x66f94e72, 0x9bf29ddb, 0xf02e6152, 0xb84da963, 0xae2af143, 0xbca73165, 0x124a589f,
+    0xcef647d8, 0x2697fcfd, 0xbc083370, 0xdff6fed2, 0xf552ceb3, 0xfb7d6a6f, 0x37e61d49, 0x40a7b0ac,
+    0x63436a79, 0xeb30398b, 0x19798cb7, 0x6c7fbf31, 0xef2f28e7, 0x6d4e9e31, 0xf4c08e65, 0xbec7cfcd,
+    0x44c8b275, 0x24c46d6f, 0xc3707429, 0x86517cd6, 0x6d02f97c, 0xb90f3f43, 0x9d56db61, 0xbc908a7e,
+    0xf6eb9669, 0x962700e8, 0x51e47874, 0x414938d9, 0x4f745f10, 0xbdc2b98e, 0x85adacd2, 0x80a0732a,
+    0xdb76bdbb, 0xd4eedcf9, 0x9ca5ac5d, 0x645e430a, 0x1ad9a4a2, 0x44204922, 0x5fc28e32, 0x24dbf430,
+    0x735d7445, 0xac95751a, 0xab8fae8b, 0x376ef3c2, 0x1bb95eb9, 0x78789c7d, 0x1d47c76a, 0xea9858d5,
+    0xcf801fd7, 0x9736d8e8, 0x894091db, 0x396faf49, 0xa89fb891, 0xb784b629, 0xbf627e0f, 0x9573509a,
+    0x868eb5a9, 0x370b6003, 0x5f87bdab, 0x882973d9, 0x78f86f54, 0x9fa5fd4b, 0xc6320f28, 0xf932ca9c,
+    0x59be618d, 0x9f2cfa82, 0x59e73094, 0x04a79719, 0xbb7dd358, 0xfba8ed31, 0xf5ebd595, 0xe417b66e,
+    0x964096df, 0x6393db74, 0x858a0096, 0x9c135d9e, 0x5c386ab4, 0x6d1c011f, 0x69af0ae3, 0x2694c946,
+    0x130943ee, 0xd1959ead, 0x0ecd91a9, 0x5d77a302, 0x5ff1fe59, 0x0886f2bc, 0x8e4d8152, 0x17cf52a3,
+    0x6e6a8e9f, 0xcbe3a477, 0x8cb4ece7, 0x49270fd7, 0xbfd1214f, 0xa75b84f9, 0xf225fe32, 0x7114d86a,
+    0x2b8d8d8c, 0xebedebd8, 0x8178a1d3, 0xf7f25a72, 0x2c3e50f6, 0x2866138b, 0x2f833279, 0x6ef9f0d2,
+    0x1addae70, 0xaaacdf39, 0x5b22eba2, 0x09603eb4, 0xf49e8494, 0x0dc654b5, 0x3c8ad579, 0xd6ff245d,
+    0x54c209fe, 0xc95f6915, 0xda9b7878, 0x7176938f, 0xac3234ca, 0x6494a831, 0x32c8952a, 0xe0340cdc,
+    0xb859d5d6, 0xef8d3316, 0x0a7c8739, 0x0303bb2a, 0x479c9e4a, 0xb85fc7ad, 0x7f86dd59, 0x13544f53,
+    0xac6602e1, 0x923e1340, 0x75181b79, 0xb95a33c2, 0xf047204b, 0x58d06bc7, 0xbb376ae2, 0xf3a7463d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000349960115965281907899600\
+                         35633881941845650710894291398982812329702559247987190014771576210832368861184 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495,
+    0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404173, 0xc2ce8332, 0x87ef4eea, 0x8f9d1f11,
+    0x00000000,
+    0xa5b25d17, 0x68157876, 0xdd4011e9, 0x5b36e116, 0x86b9485e, 0x311ac839, 0xb5a97730, 0x3b0c9628,
+    0x315e21fd, 0x2a7bd554, 0x1c952c8e, 0xba4a50f2, 0xbe8b20b4, 0x34f3f97a, 0x6c9ca0c9, 0xc7948774,
+    0x4889f68d, 0x53c347d5, 0x64c8c814, 0x42819f5e, 0xe107e6e1, 0x9ae0ab6b, 0x1289e216, 0xc6d4cd2b,
+    0x83558690, 0xbe9785ed, 0xa17cc587, 0xc4c9257a, 0x4e69da78, 0x7f94a76c, 0xb21bf2a8, 0xbea82039,
+    0x9b162a40, 0x2d2666ef, 0xfc5ad14c, 0xf8ac79bc, 0xd6959f69, 0x2b8965a4, 0xb4f246c7, 0x6ebd3a9f,
+    0xc14089c3, 0x86b58a92, 0xd47f965e, 0xad43946b, 0xefe95282, 0xdf4e0be6, 0xea2ee6db, 0x3d5cdcb3,
+    0x6519a598, 0xea153590, 0x76449b17, 0x73b4f384, 0x91614f3b, 0x8c6ca223, 0xb201f1e2, 0x2e44335b,
+    0x31e58c3d, 0xd8cd8b87, 0x4bd9638a, 0x02828cbf, 0x68fea2b1, 0xfa05f285, 0x7d2da193, 0x00b89e32,
+    0xdd5539ef, 0xa2d53a80, 0x2198bad8, 0x07555340, 0xf51f5e06, 0xbdb4d9b8, 0x2a02239d, 0x19b0aefd,
+    0xa1324f11, 0x3268352a, 0xaa866db5, 0xba76c743, 0x21f7e62e, 0x97f9404a, 0x551e2deb, 0x3229effc,
+    0x0b75aecf, 0xaf007fbd, 0x05f41782, 0x987dec4c, 0x1ae321ea, 0x632f1af2, 0xe6d12fad, 0x94699b2e,
+    0x6767a02d, 0xdb5d585d, 0x00f6dbf3, 0x130f5e92, 0xf01982e0, 0x3e29d3f4, 0xbe18e098, 0x4ae70a0b,
+    0x82162183, 0xfe6388f4, 0xe01ecdbb, 0xd25fa38d, 0xc9822ebe, 0xbef2c082, 0x945379a5, 0x58d0439c,
+    0xf656cce6, 0xc0de63cc, 0xed0a1deb, 0x9a2f5485, 0xf6eacf51, 0x09045803, 0x21de9bf0, 0x732e2d30,
+    0x586157a8, 0x303f1aff, 0xd4d2e00f, 0xaa033b6e, 0x2806944f, 0xb97963d9, 0xa68afa94, 0x468f91d2,
+    0x78c1b347, 0x16f54658, 0xa2ab9270, 0x1b8bafd3, 0xe815035d, 0x82857a5c, 0x81ccc064, 0xb54bb5f5,
+    0xfbae0a36, 0x5bb745c4, 0xb1d40d1a, 0x8b469fc2, 0xb7906fa2, 0xab488b8b, 0xd423efd1, 0x963ee10b,
+    0x837602e9, 0x0b811af1, 0xeff77fd5, 0xb077f2aa, 0xcf9ea8e9, 0xc60db79f, 0x09bda359, 0xd16f06a4,
+    0x1961616b, 0x9334753c, 0x3ffe2d69, 0x20377182, 0x9f7410de, 0x03b905eb, 0xc7b8074a, 0xd2d707f5,
+    0xb4846010, 0x369b5c97, 0xc058285c, 0xfa287b0c, 0x884f12a7, 0x3464c778, 0xe09ecb11, 0xbec616a5,
+    0x2495e3e5, 0xfa615aec, 0xd1bcf441, 0x6e26ca7a, 0x6c47b337, 0xf31f872a, 0x5a4b1cb1, 0x88938acc,
+    0xace7b63e, 0x2651543e, 0xc9b4f56f, 0xdeae7d9f, 0xf3faa443, 0x99541fee, 0x3bf841de, 0x0beca878,
+    0x755c4eea, 0xe396e669, 0x126c445f, 0x29da32f7, 0xec5880d2, 0xe365324b, 0x341053a7, 0x6c54fc8c,
+    0xa0f85999, 0x0f6912ef, 0xe94dff42, 0x16949ad1, 0x362571d1, 0x27056a4d, 0x7a35d3dc, 0x73dbc488,
+    0xe3f06e34, 0xda103e27, 0x019e500e, 0x5727b61b, 0xe5e52ce9, 0xcdc0127e, 0xd4719188, 0x9aad5371,
+    0xa151772f, 0x84c4d35f, 0x3fb89814, 0x4b5e23ab, 0xf48a11c0, 0x41375885, 0xc2b03765, 0x33d59ef9,
+    0x88d415c0, 0x5c8b4f27, 0xb2cee682, 0xb0ee969f, 0x6a17e5cd, 0x9e7b9cb4, 0xbb3331b6, 0xc5474551,
+    0x5e012623, 0xb1d43006, 0xf62ca132, 0x930293a2, 0x119b70eb, 0x1270129a, 0xabe35d54, 0x05d8507a,
+    0xab20432b, 0xba834ba0, 0xcf63dbe3, 0x1381e00a, 0x08b75274, 0x79b9595b, 0x9c2c2296, 0x5efb205d,
+    0x13641c01, 0xf9b6613e, 0xedab7586, 0x2b894e70, 0x67b95f5e, 0x96968dcf, 0xd12568e6, 0xf7190138,
+    0x2bc03ad7, 0x33d27a8b, 0x7eb46932, 0xf6981e37, 0x8cbf4721, 0xb593af74, 0x1a42d8bb, 0x25ab16d8,
+    0x8ca56d59, 0x0aab848d, 0xfddf9fab, 0x6cfc38c5, 0xd7363acd, 0x886fc5be, 0xf47259a4, 0x1836ddce,
+    0xbe90a65e, 0xd82d574d, 0xa77dd44e, 0xe41e2784, 0xf54dbc53, 0x15bb7bf2, 0xa6a81a02, 0xd0ae4f20,
+    0x751e062c, 0x58168fc2, 0xe46ac2e0, 0x8dfdbed3, 0xc8b44f32, 0x9566acf9, 0x4b8d028c, 0x4389b1c9,
+    0x993057eb, 0x73a87f41, 0x23fe9ab1, 0x186f1e9f, 0x117ec619, 0xc899a768, 0x7f12e65a, 0xceef59de,
+    0x5ada6e20, 0x3cdcdac4, 0x66c99f02, 0x84c92679, 0xf75f18a1, 0xa00ec847, 0x574c3dd9, 0xdf9a5e5b,
+    0x17c3d8c2, 0x8abf8524, 0x90f324bb, 0x06f20527, 0x442192d4, 0x7ec0d995, 0xf217e71c, 0x87347c18,
+    0xc5cf99f6, 0xa3c56c2e, 0xaeb8a555, 0x8d283be4, 0xe549bff7, 0x8ab669bb, 0x0f4352b7, 0xcf76ffea,
+    0xe643ce1e, 0xcc51a680, 0x6229d15f, 0x97273cb0, 0xb48a10d4, 0x446d9ee3, 0x0e776054, 0xc5134762,
+    0xe2b65f8f, 0xe1d11419, 0xa8b8d096, 0x20d03548, 0xf1f712d7, 0xe79bb34d, 0x6b9f7705, 0x0ca72d46,
+    0x68dfc78a, 0x4d2df4aa, 0x85044b33, 0x0ed43af5, 0xe54d1b28, 0x745ef208, 0x24b390f5, 0xd9d85829,
+    0x588ff078, 0x2fe41005, 0x1d747421, 0x4b89b7e6, 0x4bd45c25, 0x6d92a826, 0xfe374869, 0xd2ca6549,
+    0x3e779d1b, 0x9329d751, 0x8ae551a6, 0x7a3cb59c, 0x206103e3, 0x5129fc9b, 0xb961a31f, 0xe7fe5908,
+    0x0f9c9797, 0x67d1b329, 0xf77f7f14, 0x0f97ea65, 0xdf6cb1e0, 0xbf98892b, 0xbec18f5c, 0x5c4fa1fe,
+    0xbe6dbd04, 0xb57dcc61, 0x0e823170, 0xe5ccf801, 0xb245764f, 0xd5b779e9, 0x51fdaf28, 0xbbfc62cf,
+    0x54a7797e, 0xa7b61401, 0x3c5ccd08, 0x6c4956c0, 0x0e3142de, 0xedb350f1, 0x1267c128, 0xfd41c22c,
+    0x79108fc7, 0xbcbcb08a, 0xc06a1a80, 0x382c4d0a, 0xede056e9, 0x3c669d8c, 0x2d9fa15c, 0x604223f9,
+    0x61ebb511, 0x76bc197a, 0xfaeafbe9, 0xfe03dc3c, 0x9d1df694, 0xba71eefa, 0xd4d8e918, 0x3d24cf66,
+    0x0988b44e, 0x730ab657, 0xb1f6b7d1, 0x366ad1b3, 0x9d8ee7a8, 0xf01a8fb0, 0x8500fe6a, 0x82ffd52e,
+    0x7d96c21f, 0xd0d6d5e7, 0x2e5d7e68, 0x9525db5c, 0x7b6e00d3, 0x3030134d, 0xebb5ad46, 0x62d6aad9,
+    0x74954045, 0x310024fc, 0x8bd9c23e, 0x1ca6fcb9, 0xbe13febd, 0x89f7323a, 0x49739a52, 0x30665847,
+    0x120b8204, 0x0081e82a, 0xe614288c, 0x1b6d985e, 0x9f2487ef, 0x1f0cab0a, 0x6cb27a7f, 0x8997997b,
+    0x726e9bfc, 0xfd3378b1, 0xf9600744, 0xda87a996, 0xc18729d6, 0x54bb0754, 0x07bacfb8, 0x198cd5ad,
+    0x8717df3a, 0xd0108ebd, 0xaa1252cd, 0xe699798f, 0xb7d8998d, 0xdd2fde66, 0x591feab5, 0xd48637cd,
+    0x0a81239c, 0x3ced7332, 0x59077371, 0xbc8dfcf0, 0x998b095d, 0x93d7ac9a, 0x3c9b7857, 0x027c1981,
+    0x20cfe6f6, 0xb036f770, 0xb01ea7fe, 0xa30353c0, 0x7c4d1287, 0x6f43ce4c, 0x29e9280f, 0xd5227088,
+    0x138eeae0, 0x02f18bcd, 0xc6c2eb9c, 0x91a48480, 0xcc306207, 0xd2ed24cc, 0x34b45f45, 0xeb96f425,
+    0x3c42042f, 0x67719526, 0xbb7c30b2, 0x82315226, 0xdd197222, 0xf59012bf, 0xe658e685, 0x61db5535,
+    0x92fcd6bd, 0x3cd971b3, 0x45a65009, 0x63dc8dd5, 0x7ece28a8, 0xf4a634b7, 0xe8f87e06, 0x11b034a7,
+    0x73a05d93, 0x6e30885a, 0xf79bd77f, 0x612b5a5a, 0x61a74fc8, 0xcdf83cb6, 0xface7d54, 0xa8ce782e,
+    0xf52f7023, 0x7d521b10, 0x2b59cda9, 0xba146407, 0x8fa8866f, 0x95277dbe, 0xe37445f1, 0x9c292e6d,
+    0x51538002, 0x19c8e4d8, 0xe93a2aef, 0x8ef0e659, 0x5e952276, 0x95ba6820, 0xbba4140e, 0x53b54000,
+    0x3f891e20, 0x2a691184, 0xb4878736, 0xb3b11856, 0xe93bfde9, 0x253a25e8, 0x5a3dbfa0, 0x5ca94a98,
+    0xbf563e11, 0xf4465033, 0x295b0111, 0xa877f956, 0xb37eb0ad, 0xdae0c283, 0x16558e52, 0x6ca13839,
+    0x7420a032, 0x0fe220bf, 0xaaa31983, 0x4778cd6d, 0x3cf30274, 0x7c11b347, 0x1bb1e143, 0x1752b45d,
+    0x07308cd7, 0x1bebe05a, 0x41d300f0, 0x3044518c, 0x24f01edd, 0x05b2da10, 0x193e5167, 0xc17bd362,
+    0x3d63f0b4, 0x52988c0b, 0x9b26121a, 0x1a407137, 0x762cb941, 0x04dc519a, 0x0323ebc5, 0x228e8be6,
+    0x22c354be, 0xe9cd9263, 0x7ea2bc7e, 0x9a966081, 0x742f77b9, 0xce969c8f, 0x57000caf, 0x53556f31,
+    0x3712b1be, 0xe435f7dc, 0x71cc2135, 0x9e824e9e, 0x1d99c635, 0xcdc9504a, 0x8cf1aefb, 0x9e5420fc,
+    0xf20eb725, 0xf7aa5d04, 0xac1487f2, 0x93e4bfe5, 0x5d13d13f, 0x9b584146, 0x76c84474, 0x601b6334,
+    0x1f737957, 0x94fb8617, 0xf088f1f1, 0xfd84d522, 0xeaba340e, 0x10429f2e, 0x46dc3a08, 0x1c7fad01,
+    0x95e79066, 0xdf583841, 0x91b08c4b, 0x2fa62474, 0xa0d43999, 0x7d44ec18, 0x3777475b, 0x5e25a3ca,
+    0xcf88721e, 0xf10a2798, 0x6a32a92f, 0xd6ce4ce3, 0xa822b6dc, 0x99d355ba, 0xfe4ad61a, 0x346c492a,
+    0x55056380, 0x90a3ddda, 0xb6ad6beb, 0x60adf4d1, 0xe17e5e2f, 0x6c08f88a, 0x1d5820de, 0x5a692179,
+    0x572b355c, 0xb11f3b70, 0x36eed743, 0x92b286e8, 0xb718259b, 0x045f8ff2, 0xb1742a0a, 0x5da1bbbb,
+    0x62dd55ed, 0x453ad9b1, 0x4b17bdd4, 0x327abd8f, 0xe213e68f, 0xb7693481, 0x522150b8, 0x99214ce6,
+    0x8c658da1, 0x01bba9b7, 0x0be746ac, 0xa7197a6a, 0x581e02fd, 0xcb117a24, 0x77bb7004, 0xed82c461,
+    0xb664b880, 0x492a904f, 0x4cbe1947, 0x9cb19fa2, 0x624d1a14, 0x035e660b, 0x7a5f1afa, 0x5f9fed96,
+    0xe21a42aa, 0xfe9a42d3, 0xa5b26efe, 0x90899d31, 0x88a113aa, 0x49a7194e, 0xf632e1b0, 0x681c8d64,
+    0x5d7f1834, 0x9b26d7dc, 0xe1baf7e9, 0x40edd55b, 0x2f32b074, 0x4ebe96f9, 0x7e9b40f5, 0xfa4b5230,
+    0x6e192ff3, 0x63e67715, 0xf0a79095, 0x1d2d0255, 0xa414cdbf, 0xcc2a62ce, 0x8de65cca, 0x89e98b54,
+    0x1b3bec03, 0x1a294978, 0x3fb84370, 0x3c734772, 0x4045d2b3, 0x5b466702, 0x586210de, 0x3f07ab30,
+    0xb980c56d, 0x26591ca6, 0xd9bbaa4d, 0x2bd28198, 0x82ce57a6, 0x21af892f, 0x1bacd116, 0x574ddf2e,
+    0x7fd64bdb, 0x5fbd4e40, 0x99d38581, 0xf5d45107, 0xdd7e82ef, 0x37364cad, 0xdee922d0, 0x0977413f,
+    0xaa20db57, 0x895007f5, 0xf748cb7a, 0xfabc9f37, 0xc168c690, 0x2baf4783, 0x2e5312e5, 0x783cc911,
+    0x417a2d9c, 0x786fa491, 0x64bb6bb3, 0x18bed060, 0x8c6ff678, 0xf02720bd, 0x89194635, 0x9e803c27,
+    0xd918c8a7, 0xa872c6a4, 0xb9de0f10, 0x59c783b7, 0xfeeb267b, 0xac57d185, 0x1d67127b, 0x28517917,
+    0x56db86d8, 0xb28832c3, 0x0506ce7f, 0x4c94aca2, 0x8cc7b9dc, 0xa6c53c62, 0x39eae8a4, 0x6e3c7558,
+    0x27e50e21, 0xc7413b5d, 0x3b6c313d, 0x5c666ef5, 0x11b92760, 0x2ec51f94, 0x29cd8d47, 0x68a51bc4,
+    0x4a9a8eb0, 0xc35cee8e, 0x8d1b750b, 0xd315484a, 0x82f6ad04, 0xca4c2d9e, 0x3f36e3e2, 0x4961be46,
+    0xb13ac903, 0x5041f0f8, 0xabb1d9ab, 0x1143b863, 0xe08390ed, 0xed11d36b, 0x26520250, 0x26a86d74,
+    0xd82a3092, 0xd2e4d987, 0x3358d073, 0xe6c97b2c, 0x3fc29a9f, 0x73fe0437, 0x3c932963, 0x87ef5b5f,
+    0x2f3d2fbb, 0x051ba3b7, 0xf0501861, 0xe75711e9, 0xca41384b, 0xa28585b7, 0x3334ca18, 0x2cd473f4,
+    0x3d617271, 0x3ed84a7c, 0x67bebdc9, 0xfedcf3b2, 0x62286ea3, 0x111ee341, 0xb3985e56, 0x49452592,
+    0x9e717eed, 0x69065471, 0x13b36bf8, 0x3270f6c3, 0x49c02770, 0x614a8c17, 0x8c468d63, 0x45334f52,
+    0x47f2a946, 0x8d667239, 0x40ee773f, 0xdf414845, 0x5aea20e3, 0x044d23a8, 0x96c7424b, 0x17bc0440,
+    0xb19c1f7e, 0x990a36c4, 0x47e0c531, 0xb95c3410, 0xc61520e2, 0x74751d73, 0x8544108c, 0x9b3deaa9,
+    0xac72bb60, 0x45206eed, 0xb1477bc0, 0xbeca2162, 0x3a521921, 0x7968055b, 0x864297cc, 0x19f6905c,
+    0x5b82f00f, 0x4df052ff, 0x8b48edef, 0x5c2023da, 0x2735b689, 0x934b0c1a, 0x015146c3, 0x322226b4,
+    0x8a55b267, 0xb59ba832, 0xb283f401, 0x6fa40a34, 0xf441d78a, 0x22d4fc65, 0xace395c3, 0xf7d4b3a7,
+    0x9c69869e, 0xdf961d35, 0x2831d509, 0xbcb17691, 0x4cf1adda, 0x017d699f, 0x5de438c9, 0xe9377ac8,
+    0x0bd7e034, 0x7ffc0401, 0x3f4ae5c1, 0x7fc7bca9, 0x5ee2aeb9, 0xb626f691, 0x1f80e4f7, 0xc1485712,
+    0xf6353997, 0xfe7b51a7, 0x595f13a8, 0x12b3a2c7, 0x13fc9729, 0x98798364, 0xb2761fa2, 0x8693183f,
+    0xbe48373d, 0xea78e52c, 0xc73b397b, 0xf0c9f44f, 0x073b1b95, 0x8ed0a448, 0x6d4c9a4d, 0xd34a0c25,
+    0xd64f61be, 0x09e58540, 0xddc69d97, 0x18ef10a7, 0x6f33b2ef, 0xfc28cfe9, 0xb4345e62, 0x2342beda,
+    0xeba71bcb, 0xd71561df, 0x23978b79, 0x4efa476c, 0x4f447d1e, 0x7e2111f7, 0xa3b15920, 0x5e6158f9,
+    0x7f0590f3, 0xd3b74a94, 0xebf59228, 0x9c100877, 0xb3a04e80, 0x1e836239, 0x1d05bbe3, 0x0a4701a8,
+    0x173216a4, 0x7e284c04, 0x9c000cf1, 0x9f6f0f8f, 0x878272a4, 0xc1f90998, 0x9b566c5f, 0x2acd339b,
+    0x3385bd2c, 0xc152a128, 0xb0ad6321, 0x4bd331b9, 0xa4837557, 0x278820fc, 0x11bf02fa, 0x1e819a92,
+    0x2f58c671, 0x950130d4, 0x8549f397, 0x2f6ec118, 0xe77a4ce3, 0xd40f3e93, 0x8045c61b, 0xee796748,
+    0x5fedc946, 0xe4eb356a, 0x6e3f291e, 0x43fa5d00, 0xdeb011e5, 0x0a60ed15, 0x2eb4fb71, 0x4628ea2e,
+    0xc4f6193c, 0xf4493a59, 0x33a3b0ed, 0xfd4792c5, 0x1c0c2f0f, 0xab1ac7bb, 0xac2d470d, 0x84c16c0b,
+    0x2add5012, 0x6550d003, 0xecd28508, 0x5638f7cd, 0x91675790, 0x7e161e29, 0x457dea69, 0xf8973f02,
+    0xfa94e467, 0x7e668532, 0xa3a7acf5, 0x263f4f04, 0xdafc3a77, 0x2ce7c9d2, 0x548db2fa, 0x38fe36fb,
+    0x092e681d, 0x5d591311, 0x813aabfb, 0x880e18b1, 0x9aea61ad, 0x8843b0be, 0x22cb0cf2, 0xe6cd41e9,
+    0x14e4bb5a, 0x02e61045, 0x410373f4, 0x1da40fd1, 0xf4181a80, 0x8f461271, 0x9750c6f4, 0x0e1625cc,
+    0x1044d278, 0x052ecaed, 0x6256cb0e, 0x954106e3, 0x115a4c45, 0x741a066e, 0x576d7de5, 0x6c3bef85,
+    0x723aa67d, 0x0e3494a3, 0x5e996059, 0xf138b9a7, 0xb7cb2e64, 0xa1fa6bc1, 0x26272464, 0x0273d9f2,
+    0x1bd48b5d, 0x2129c513, 0x144e27a3, 0x1c224a03, 0xf0049244, 0xfa6a47a4, 0xbdb5c32d, 0x57eacb7f,
+    0x4390a3a9, 0x555b1967, 0x6809282e, 0x3424136e, 0x2e9db59b, 0xd2ee7178, 0xf54fbc9d, 0x65844a5e,
+    0x6d6a7d67, 0x41fd23e7, 0x06b8c973, 0x613132d5, 0xc9508f07, 0xbe298488, 0x1ec4c4be, 0xebcc8d51,
+    0xf05dc95b, 0x73587ac4, 0xa388b371, 0xfc9331ad, 0x4a35721f, 0x9821cd0d, 0x15edb9ad, 0xc848113a,
+    0xa5a6b932, 0xfcfb025e, 0xe0beeb9b, 0x842d4303, 0xb0d62c6c, 0xb97d7b02, 0x5d613bb3, 0x564677c5,
+    0xa1431e4d, 0x1e1b6a80, 0xf260a961, 0x45d060db, 0x62a41031, 0x9fb7deab, 0x33987e35, 0xb23bbc9a,
+    0xa1ae6b2a, 0xab01cb7b, 0x66d6ff42, 0x76605852, 0x511b26b6, 0x9de0d79b, 0x1b2f0e8e, 0xcc3f21d8,
+    0x3dd6df71, 0x408c9cc3, 0x56fcca9f, 0x6fe04b06, 0x2df4d991, 0x43a21b9c, 0x20fd2d4b, 0xf9e5a811,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000174980057982640953949800\
+                         17816940970922825355447145699491406164851279623993595007385788105416184430592 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a,
+    0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b9, 0xe1674199, 0x43f7a775, 0x47ce8f88,
+    0x00000000,
+    0x91a23bcb, 0x02c5c1ec, 0x17a27bc2, 0x290ef861, 0xcfe520b8, 0x156b7ab7, 0x1d955cd2, 0x72efd745,
+    0xf7d57ba3, 0x8377f4f2, 0x03d7d5cb, 0x9e9e305f, 0x9bef9085, 0x92705ffa, 0x82494fa7, 0x4a535651,
+    0xe48029d0, 0xf99abe64, 0x3f26bf31, 0xfb55f87e, 0xad69a159, 0x41ab1db8, 0xe17fc635, 0x563c9afe,
+    0x3e952c4b, 0x5b2404e6, 0x31b3eb60, 0x1cc9ab42, 0xe901edf8, 0x2e8a1608, 0xb70eeb4a, 0x670b0301,
+    0xc560cc39, 0xd523bde7, 0xaa549afc, 0xc953ada7, 0x11516b1b, 0xdce85a71, 0x462db39a, 0xc4c1f2cd,
+    0x8ee00da1, 0x0fe1186b, 0xd6ed69f5, 0xc3df7195, 0xdae9bcf5, 0x7fdbb14a, 0xd8d5194d, 0x9aaeb650,
+    0x172058d8, 0xc8f5a4e4, 0x769fcc11, 0x26b2a11a, 0x8243cccd, 0x69113dfc, 0x1fdc08a2, 0x656f825c,
+    0xbbb649bb, 0x5fcd3db8, 0xd89ef4d7, 0x0bb0cf7a, 0x9c495ba8, 0xc7822004, 0xb664c706, 0x4cbc5874,
+    0x5ea4255e, 0x83496345, 0x2c30f91f, 0xab7dc4c3, 0x9683294d, 0xb15642af, 0xc54ab6a0, 0x6092b93e,
+    0x76a5e66f, 0x4952fbe6, 0x931cc0cd, 0xfc511d31, 0xa9822ec2, 0x8014321d, 0x037c7d6b, 0xe95062a3,
+    0x96f8ec7a, 0xfde2270f, 0x785d28b8, 0x8f327384, 0xf3a0ada0, 0x137917e4, 0xa1916f8b, 0x805de814,
+    0x4054fef7, 0xbf13a188, 0x74d704fb, 0x3652cdd5, 0xa7641bc2, 0x72b72505, 0xfafcbcab, 0xf956b705,
+    0xc0e2a2f8, 0x981d3c95, 0xf301966f, 0xcd89259a, 0x2d6754b0, 0x4e5bd9dc, 0xf70207ff, 0x00efc5ce,
+    0x5f06551f, 0x894a31df, 0x49a3c63a, 0x581e82de, 0xf36e509a, 0x2bf8d7f5, 0x663197b9, 0x2e4799f2,
+    0x6bd94985, 0xf386c950, 0xc2506cee, 0xdc04df44, 0x58aad4ad, 0xcb682a33, 0xbb17e069, 0xd5ec6bcc,
+    0x7aa1345b, 0xab1abb5a, 0xe6bb46db, 0x733ac932, 0x03be185b, 0x36f2018c, 0x31a6909a, 0xe36e3bb9,
+    0xfac589fa, 0x715f520c, 0x5b33f8b8, 0xa6fb8a2c, 0xa4083571, 0x210745dc, 0xa23fc2bb, 0x0b9087e9,
+    0x7d229cd3, 0x7fe26197, 0x7e96b4ea, 0xf1b88868, 0x819d83cc, 0x6f76ca27, 0xcb1c1c74, 0x9aa3022a,
+    0x78c8c55a, 0x331586f7, 0xbbdcddb4, 0x5df04cda, 0x5e05da34, 0xf0798c1b, 0x68e0742a, 0xdbfc2300,
+    0xbc0f7f6b, 0x51735d82, 0x4dd87142, 0xd75e9762, 0x0165ce74, 0x92e65807, 0x8b912c7a, 0xc0e9ed46,
+    0x6dcd1972, 0x660d3146, 0x881aa3d8, 0x32c57afd, 0x3a0a44cf, 0x6b0fc262, 0x6c3fc182, 0x8a1620d5,
+    0xf4083d18, 0x65afe9ff, 0x667df695, 0x59d2f1f7, 0x25db218d, 0x47bac038, 0xfb67f359, 0xe7d9b6dd,
+    0xe9d59cc2, 0xe7e88960, 0xce193a00, 0xeb10f6b2, 0x60ef8f13, 0xc7e08499, 0xdc615d78, 0x499f6a1a,
+    0xacf9bbe6, 0x380e9482, 0x3897883a, 0xf19bf136, 0x4f168b99, 0x7079edf3, 0xecb9a0ae, 0x8c7ea0df,
+    0xe0200d83, 0xfcc7acbb, 0xf7409d61, 0x162f20ba, 0xc24d96d9, 0x531444d6, 0x6cb52558, 0x6d4c1192,
+    0x0a72a670, 0x5851e077, 0x342355be, 0x6c0cedd0, 0x7bc7bda6, 0xa43ac2e7, 0xa2cbacc4, 0x33423393,
+    0x73b9aef4, 0x4adb460c, 0x858c527d, 0x2bc93a15, 0xb0578dda, 0x199658ca, 0x30f47191, 0xf93e0e0e,
+    0xb9642096, 0x7d74608b, 0x9afed9ca, 0x8a82c9fe, 0x7c4d5077, 0xfab8974e, 0xb1f14aad, 0x57a63736,
+    0xa5c5b1b9, 0xc88c500b, 0xb77a80c8, 0x9aa0d20d, 0xf11216d3, 0x172c7c9d, 0xc6d5bf7f, 0x7fdcda0c,
+    0xd5855cb1, 0x91a01bf6, 0x23701cc9, 0x95aa9fd7, 0x90aa98a1, 0xa5ec6010, 0xb8f86182, 0xa7cc60e9,
+    0xa2b266f6, 0xeb2fbae9, 0x8cc8a1ce, 0xd7d71f4d, 0x3ce4a9fa, 0x22d1b5d5, 0x664d49fb, 0x85c3f5a5,
+    0xefb05ee6, 0xa27f485a, 0x447d1ab6, 0x1c73266d, 0x94b57438, 0x9805e9f9, 0x0c069875, 0xa2d05e99,
+    0x416bbb42, 0xbf9e45ed, 0x2e71bebe, 0x2978a83f, 0xace399fa, 0x854538d1, 0x96051e78, 0xcbe634f9,
+    0x0c3b0bda, 0xd4653220, 0xd9833131, 0xeaf64e70, 0xd50b15eb, 0xcbc3129b, 0x73212050, 0x6707c28e,
+    0xa3b6a632, 0x8ec91f56, 0xaa3ae773, 0x2e1de30b, 0x6f4a8521, 0x5705d882, 0xcb552215, 0x78c4af4a,
+    0x5a07d1de, 0xf69cc22c, 0x64124581, 0xde79b5a4, 0x6bbfa793, 0xa0118928, 0xe3ebfa74, 0xe642efa2,
+    0xed166fec, 0x5fa248d4, 0x64ff586a, 0xa5510c2e, 0x077e952b, 0xee8cce38, 0x8636129d, 0xf35aef61,
+    0x586ddcb9, 0x77eb256e, 0x30391c13, 0xa5ee5a78, 0x8b953a76, 0xfd776dbc, 0x85ea874d, 0x140049ad,
+    0x52897a74, 0xc2c9ce35, 0xa7276057, 0xf186968f, 0x7823119e, 0x8317249c, 0x78a911bc, 0x7cb832bc,
+    0xa116ad13, 0x65926716, 0x840a18c0, 0x03a60e08, 0xeaf8b59c, 0xc419c163, 0x801b6301, 0x939bcb7f,
+    0x549f7a7c, 0xc3470929, 0x5fac27c2, 0x5ecf84a9, 0xdaf20cd6, 0x69fd1177, 0x4eff3739, 0x21913923,
+    0x8d629341, 0xcdd38386, 0x2eb462cc, 0x3f5201e3, 0x27b767a1, 0xea25d957, 0xf1bbe892, 0x5dc4b151,
+    0x41e2bc97, 0x4a95b289, 0xe39c7627, 0x3bd7769b, 0x19bd9323, 0xdd9c7700, 0x077a6061, 0xe6681532,
+    0xa8dbe3f7, 0x98b4cd83, 0x6476196c, 0x9e2adafc, 0x5e49ea52, 0x64e29539, 0x07d12a0e, 0x3a0786f2,
+    0xa994d298, 0xf4602098, 0xf8141f62, 0x9eb55394, 0x56fc84ec, 0xb83c7b04, 0x105acb48, 0x949a67a0,
+    0xef530327, 0x7c28bb0f, 0x301722e6, 0xc1b40373, 0x727ab5bb, 0x739a6a32, 0x163656bf, 0x3c437e97,
+    0x0c8d6931, 0xb5f2fb23, 0x36221ab6, 0xf311baf1, 0x82f28cc3, 0xa11d7a32, 0xa046f6d5, 0x67ce2c52,
+    0x7dbb69e5, 0x735795a3, 0x680286b6, 0xb2d5321d, 0x27c47ea4, 0xd16a987d, 0x24515ae6, 0xa5436db5,
+    0xb31b23f0, 0x0cd75029, 0xc48b3a58, 0xa92ee0e6, 0xfef7178e, 0xea13b55a, 0xddb0e926, 0xbdd022d3,
+    0x223439ff, 0x7532cfdf, 0x3eeeba70, 0x7566924a, 0x3f1cd47a, 0xf8edd0ff, 0xc2b7d0b3, 0x2575b04c,
+    0xd7c7e390, 0xefc7034e, 0xd133aaaf, 0xe03669db, 0x10a5c68d, 0x575838bd, 0x205a5d82, 0x3b66daf9,
+    0x586e2d71, 0xd0490d1e, 0x14a9601b, 0xb2086f5f, 0xc34277e6, 0x871c68e8, 0x8372b56f, 0x768cbfb3,
+    0x36be4067, 0x691d446f, 0xc41b1340, 0x62c98607, 0x4cf4a9be, 0x79dd1d56, 0xa5fc2a34, 0x228ca7b0,
+    0x021fbd91, 0x2f23bada, 0x9b1eb9a3, 0xc77ebb3a, 0xf45220dd, 0xa9ee6357, 0x18d70abf, 0x6a2a7b31,
+    0x02d6f9dc, 0x80243c52, 0xd6636e41, 0xc87889f2, 0x0aeca2be, 0xfcc4f508, 0xd89c3b55, 0x4daa4961,
+    0xe723907a, 0xea2e79f5, 0xce51eafb, 0x1b71624f, 0xb8b3d19f, 0xa204f7eb, 0xbaee6288, 0x388e3226,
+    0x9dc2c2c4, 0x6b1698a9, 0xe973f7e2, 0x4f283ecd, 0xd7585305, 0x1395a4ed, 0xd50be45f, 0x4ca47020,
+    0x3538e51b, 0x98bf10c2, 0x55c4ae80, 0x931130d5, 0x7bea51dd, 0xa682f8a5, 0xfc89073f, 0xc0856089,
+    0xd7e5e9b7, 0x1b4ab2db, 0x792e3452, 0x7f01c447, 0x6ec9f5d2, 0xd93c1095, 0x2d124b62, 0x95f3c760,
+    0x8bb9ecc3, 0x5c7b771e, 0x23f7a556, 0x6b2917f9, 0x334d23e5, 0xe3904f24, 0x3b8d061c, 0x60a7ce2d,
+    0xe29b2ab1, 0x94f558a5, 0x2e7478ed, 0x286b0a66, 0xf74ab5de, 0x15349e1a, 0x40461c9f, 0x3ffe8316,
+    0xbde82701, 0x9384e106, 0x096c4474, 0x0ac5ace6, 0x78ccd114, 0xecd1ccfb, 0xd9e4bfc4, 0xb9dda39b,
+    0x24d4b3d8, 0xeb603bfa, 0x4c7b44d8, 0x8bfa0751, 0xb0d1b702, 0xb00ea258, 0x705b0ffb, 0xa6ee2f7e,
+    0xaed94cf1, 0xbf205cfa, 0x91ba00bd, 0x7c998a38, 0x296f3871, 0x2bbdf9e7, 0x33d83359, 0xfd004945,
+    0x404d4525, 0xbde048cb, 0xb04339eb, 0xdeb556b3, 0x855ada0f, 0x051ee31a, 0x8db2377c, 0xb51ce257,
+    0xe1e1ea52, 0xa78f617c, 0x39172dc6, 0x35c69649, 0x2e311ce5, 0xa767470e, 0x07564f26, 0x9ddcf664,
+    0x7d7f2f5d, 0x76e778b9, 0xb76271e2, 0xc3fb96f2, 0xc7888dee, 0xae8376b6, 0xefd43598, 0x737e81cd,
+    0xfbfadb2b, 0xdf76858f, 0x96c786cf, 0x487810b9, 0xe01b90f1, 0xf5756248, 0x6d0aa845, 0xa5371a18,
+    0x01262157, 0x956ee6dc, 0x10b0fdbb, 0x550be5f0, 0x645fbfad, 0xa9d165d2, 0xff014d60, 0x58cd0fc4,
+    0x0d9506c3, 0x879fd71f, 0xaeffabab, 0x8adfebb3, 0xbda00049, 0xd61784d4, 0xf6131a9e, 0xd7166a9b,
+    0x0da3acdd, 0x01764a11, 0xbd33c310, 0x18195078, 0xcbf39aa8, 0x10e12d84, 0xda73bed3, 0xf9d2e4b5,
+    0x8cd7c77d, 0xe34dc553, 0x2eb18634, 0x5359097b, 0xaa4efeb0, 0x7c8091fb, 0x3e6adcc0, 0x98f4d85f,
+    0xc1d78c7f, 0x65163f87, 0xa0b1818d, 0x1d28b2d9, 0x5deda6a1, 0xc7cb9a78, 0x4043192f, 0xaa36fbf5,
+    0x840ee1d8, 0xc22eff4d, 0x22f8a5d1, 0x4f9efaeb, 0xedba09c7, 0xfb9c028c, 0xab5b4805, 0x13b6eed5,
+    0x3c4b8f76, 0xdef84c09, 0xdab810ce, 0x655b2a43, 0x6f43482f, 0xf3e05988, 0x13393373, 0xe79f806b,
+    0x9778ffec, 0x061f1522, 0xfdff3171, 0x5414b533, 0x6db3cc1f, 0xf1b4f088, 0x6ca15133, 0xce455f1e,
+    0xdfe25867, 0x26d2678e, 0xe3e0d0ec, 0x33dd60b2, 0xa9af90a1, 0x4c15201a, 0x36b3cc8d, 0x5480463a,
+    0x2ccf928d, 0x57b918ee, 0xd345cc3b, 0x3c151015, 0xc771b619, 0xecdd97a5, 0x60cce221, 0x10d14223,
+    0x4e3124b1, 0x3ff42ef8, 0xfb1c4567, 0xcf4bf46b, 0x34241318, 0x5a09a3e9, 0x13b32950, 0x86aae862,
+    0xd0e49b8b, 0x87c15039, 0x3abbcf2a, 0xfc49af38, 0xf7e2458b, 0x13e3c004, 0x0108a4d3, 0x1cd1429d,
+    0x55521547, 0x2a058cc4, 0x1e0dad2b, 0x90682432, 0x9438c1f6, 0xc03009fd, 0xc4530cc1, 0xdc24d91d,
+    0x184ee2db, 0xb5dbfe0f, 0x36337459, 0xcb81cfa8, 0x51bec27e, 0x222190bd, 0x262ed035, 0x8bca7197,
+    0x9072a057, 0xee97476c, 0x7dfed6a1, 0x7ec11a70, 0x485850a1, 0x1dbebdf9, 0x2b72e8f3, 0x871116cd,
+    0x6c1e86f9, 0x541ae3a9, 0x4eb62c26, 0x0b0f3625, 0xddb03f24, 0xc0bf0fb5, 0x4c0a6ad7, 0xa79acd5e,
+    0x00fc7807, 0x9538ae83, 0x1556b747, 0x382809a5, 0x488aaf0f, 0x72a8f896, 0x992225f5, 0x6b8ddbf8,
+    0xac2ca52c, 0xf30abde1, 0xc5ef16b6, 0x5817ab8b, 0x24edd032, 0xfc8def3e, 0x118ee823, 0xf0ed5121,
+    0xbbe977ac, 0x58e208ec, 0xa62aa11f, 0x3b4cceb0, 0xb02b1988, 0x4e001c7f, 0xf6756d35, 0xd9909cf7,
+    0x833697b1, 0x4c0ef4ac, 0x395bdfc8, 0x39dbcb10, 0xdadcb3a0, 0x53d2e5b4, 0x02987a38, 0x27d9c7df,
+    0x5b143842, 0xfb4119a8, 0x24239776, 0xdd98abad, 0x51397cb7, 0x6070cef6, 0x5718f653, 0x928c52d0,
+    0x04ebaa94, 0xaa489d6f, 0x9862e1e8, 0x36373681, 0xa6a97fdb, 0x0f5c42cb, 0xbcded8f2, 0x2ac42531,
+    0x342521e2, 0xb137338c, 0xf1abce66, 0xbeb3a90c, 0xbff8c972, 0x15d9c40b, 0x59e93964, 0x89faa2e8,
+    0x0cbab206, 0x22c59576, 0x80d526e8, 0x652cec0b, 0xd249c9b1, 0xfc61de25, 0xc69003ca, 0x918a4532,
+    0x90bb7c80, 0xa54c54ad, 0x1bc7d945, 0x4ebc6e3f, 0x3fb401fd, 0xbe41fda5, 0x93f54b9b, 0xbda9a34b,
+    0x1bba5ad2, 0x596f4a27, 0xc270e743, 0xdb4141ff, 0xa4a023f1, 0xc9071feb, 0x7dc41916, 0xb2bdccb2,
+    0xe8ae8cc4, 0x8c8cf721, 0x646bba03, 0x197b793b, 0xd3dbb0c9, 0x2e6b4f52, 0x1548c38e, 0x83e54afa,
+    0xd40dec29, 0x31d819dd, 0x194fe217, 0xfea482f4, 0xa5be675a, 0x5e30357b, 0xa59e897c, 0x3c0a7a09,
+    0x86d209e9, 0x187fbb09, 0xe3de03a7, 0x3748848d, 0xd9f47333, 0x2c59109d, 0x90b3bc7e, 0x3659148d,
+    0x78b76b32, 0x5d35bb55, 0x6be35cd1, 0xafdff078, 0xc2306df2, 0x7a03e582, 0x20377d08, 0x2cfe3132,
+    0x8e8c1eb8, 0xe0911611, 0x733d6130, 0xa2e4bdc7, 0x85fd6005, 0x805b8aae, 0xd8e304cf, 0x44a9726a,
+    0xd569f387, 0x19509e99, 0xac1c7f97, 0x6133b926, 0x5ab71ee9, 0xf2ea83ef, 0xcd39cb06, 0x7bf46505,
+    0x8d09828b, 0xc1f1fe9f, 0xa1d4076b, 0x9731005c, 0x770bd20d, 0x7cd5386a, 0x81177b84, 0x490bc7e8,
+    0x387e218a, 0xd6ffff13, 0x1e3bfcce, 0x5b1d1af6, 0x75636837, 0xd9dbc5e1, 0xab204e36, 0xa6651eb9,
+    0x17e07a4d, 0xfc979c76, 0xbe7e9ed8, 0xc0974a61, 0xabf26d07, 0x1923f0e5, 0xac306f9a, 0x124a4cc8,
+    0x6ddbe179, 0x72ed37c6, 0x73d28134, 0x1b03136b, 0xc67ee2ca, 0x6c40965d, 0x420baa18, 0xc2dab03a,
+    0xde6e3d8d, 0x8f2928ad, 0x397f8115, 0x49b7dacc, 0x66a0285c, 0x384da5c4, 0x604c5cd8, 0x46c4dad1,
+    0x7900a936, 0x5bc194d8, 0xb3e69984, 0xa7f202d3, 0x638d0d0f, 0x763001ad, 0xa4a95dcd, 0x3b6242a4,
+    0x48ff29e6, 0xc34c1a44, 0x97dce401, 0x2ce9841e, 0xbbd83bf9, 0x839b6775, 0x6deb44fe, 0xc5427b30,
+    0xf4409775, 0xbca208b4, 0x51777507, 0x8962b73f, 0x265d822b, 0x180ef7d1, 0x91dbf59d, 0x3c99cd80,
+    0x956dc798, 0xacbd252f, 0xb0581fdc, 0x0e28bab2, 0xc8171158, 0xb2d0442b, 0x7a12d083, 0xbcdc6cc3,
+    0x11185e2f, 0x8c4653bd, 0x2e9a3068, 0xf3e535db, 0x5d326de8, 0x1df7a18d, 0x430b6429, 0x4e3c338c,
+    0x4d612e7d, 0x8283e1e8, 0x3e435e34, 0x0685ad69, 0x5f848e32, 0x91c55ddb, 0x914ee66a, 0x43a1232f,
+    0x84fbea4b, 0x02c53290, 0x3468296f, 0xc22b1b76, 0x4ed1fcdf, 0x3c63ccb4, 0xac9e8669, 0xa7044f5f,
+    0xf752443a, 0x13346a69, 0x8b8b68d9, 0xbbf9bb46, 0xeba0941b, 0xa380ead8, 0xeb82626c, 0x2a933ee2,
+    0x838fc6c5, 0xe330dabf, 0x4b92a229, 0x00b739cc, 0x9a95950a, 0x0be6fad3, 0x24e749bd, 0x20021d7a,
+    0xae3e80fe, 0x3ec04ab2, 0x89a8627a, 0xb0f385f7, 0x3d181365, 0x59ea5e13, 0x1f730688, 0x8ade3cd3,
+    0x6eb9b0fb, 0xcf3be63d, 0x29a5997b, 0xfda5f5e4, 0x4beb4f39, 0xde464e39, 0xb7a13046, 0xcc6cc9f3,
+    0x7eeb8441, 0x9d280194, 0x9beb837c, 0x64b81961, 0xb76e707f, 0xc6d27653, 0x7324e71d, 0xaaaa7776,
+    0x77641c04, 0x5a147233, 0x960648e3, 0xf8563e30, 0x0c5da35b, 0x0fe62747, 0xbdb8e6d0, 0x1444b381,
+    0x8fd28056, 0x2ec14066, 0xe850d535, 0xd2a68e35, 0xfdb91c60, 0x123153b3, 0xd2cc672a, 0xdc6af1a1,
+    0x955fbf15, 0x4fa32ccb, 0x070f427a, 0x86610f41, 0x159aeceb, 0xdfcfd59b, 0x461ceef6, 0x45ca8aa2,
+    0xe97d07a6, 0x151fafa5, 0x90524ca9, 0xd2e82cbf, 0x3520aaa1, 0xa13e2ef1, 0x8808d284, 0xc285335a,
+    0xc48748f4, 0x378608d0, 0x090f5e69, 0xdceb8835, 0x6561f9fa, 0x20861d47, 0xa90c31bb, 0x0057c946,
+    0x79ad8a8b, 0xc54679c8, 0xe70819bb, 0x372f4a77, 0xf0330f24, 0x20ec7ac7, 0x71c973c8, 0xc93f99dc,
+    0x55ea9264, 0xab765db0, 0xa8a60838, 0xfc044244, 0x51be96d7, 0x70eda86d, 0x49485c8c, 0x5cc3d95c,
+    0xb67ff4e7, 0x8ec1cc89, 0x35e054ee, 0x8b36eca7, 0xb7b82f81, 0x50aecb26, 0xcc9f6028, 0x42f3c2c4,
+    0x3926bce3, 0x5ff6b707, 0x60cd3134, 0x44c2f258, 0xb79a0a44, 0xb1c34a3d, 0xc63eb9ff, 0x5ad16a9f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000087490028991320476974900\
+                         08908470485461412677723572849745703082425639811996797503692894052708092215296 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925,
+    0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105c, 0xf0b3a0cc, 0xa1fbd3ba, 0xa3e747c3,
+    0x00000000,
+    0xc1160937, 0x542ea879, 0x160cb108, 0x92748ae3, 0x85a3894f, 0xd68364a9, 0x1217f617, 0x95d19244,
+    0xaf1b9fb4, 0x551a58c6, 0xc3b42626, 0x4beb0faf, 0xdef93f6e, 0x25f49ca3, 0xd867f163, 0x3667abf2,
+    0x339c86d2, 0x548c0a75, 0xf969492b, 0xd1878e28, 0x2ccf8b7a, 0x3a8c27b3, 0xac827d33, 0x2d0dffaa,
+    0x62499ffd, 0x01bd057f, 0x74dabbe1, 0x19f83393, 0x19f64d4d, 0xd431e864, 0x2ef1ebab, 0x8d378ab9,
+    0x0d38662f, 0xb6264c79, 0xede94e1e, 0x9fa19503, 0x28cc313c, 0xa68714a6, 0x550016d9, 0x2486422f,
+    0x26d7e703, 0x37530d9e, 0x0eb128e4, 0xd7fd5cf8, 0x4ead4cfe, 0x521c5a6c, 0x84df47d4, 0x5fb79095,
+    0x62930bc4, 0x576145b0, 0x2da81101, 0x0d7c8d0b, 0xf3638174, 0x30cb1ae9, 0x67d072fb, 0xb3b26002,
+    0x817e5fcc, 0x75988661, 0x1e4a2149, 0x47d2bd3a, 0xbf3d0dda, 0x273ad545, 0x0fbf1b1a, 0x4f54b85a,
+    0x91efc382, 0x018751cc, 0x51828b95, 0xb237816f, 0xe45a422d, 0xdb482200, 0x829e87e7, 0x0c72488d,
+    0xc12731d6, 0x3bbd2dc2, 0xd2ea2760, 0x274c4fab, 0x3f4cc56f, 0xe37eecd2, 0x2279eb7b, 0xb73f946b,
+    0x0ca05792, 0x7c1f69ff, 0xb31c906c, 0x77513095, 0xee813f30, 0x97c4f92d, 0xcc212b0f, 0xfd461a6e,
+    0x746b8b9f, 0x950e107d, 0x18ace5f4, 0x9e3ebe74, 0x33c01757, 0xacf668a3, 0xcb402198, 0x9963f5ec,
+    0x044b58d0, 0x9ed3a31d, 0x64ecce49, 0x2cef386a, 0xa4cdfbb5, 0xdefba5f7, 0x6a1082b0, 0x45f3bcf1,
+    0x36d1c0ad, 0x4748f428, 0x08df6f46, 0x46c86f9c, 0x52aac1a8, 0x0aec449f, 0x94c9fcda, 0xbb34dad3,
+    0x3d057f2d, 0x621ce551, 0x69b2a807, 0x478784ff, 0x96972e79, 0x2badac66, 0x1ecd4d6c, 0x406a7058,
+    0x8521e3d2, 0xef478d0e, 0xade7c527, 0xbc223c4a, 0xaa43c84e, 0xd3312ff8, 0x1b753d7b, 0x2b79798f,
+    0x0b3cfb03, 0x671100eb, 0x696a7e18, 0xefb95566, 0x43568601, 0x1d2bd729, 0xb4df188f, 0x0404e688,
+    0x22acb376, 0x32298b4e, 0x46e98b3f, 0x5e02379c, 0x333abc14, 0x07c678af, 0x1cf96fe9, 0x68185f5b,
+    0x762506e5, 0x6b6b1de1, 0x3843626d, 0x66ecd4c1, 0x56daafee, 0xec45faa1, 0xfb845248, 0xbabaca90,
+    0xb8f7e6ad, 0x243750ac, 0x0b2af639, 0x056fa281, 0xeab3f008, 0xb226b47d, 0xd240bb60, 0xef5cd3ba,
+    0xba348847, 0xb1fbdbcb, 0x40ab6c79, 0x5cf2af59, 0x5d01377d, 0x7754ecd2, 0x35da6fa8, 0xa2a71765,
+    0xad08726b, 0x6d115e65, 0x698304c0, 0x7c4cec82, 0xcb5c21b7, 0xbee51b25, 0x07e11d81, 0xb0f10f11,
+    0x19384594, 0x01f34c2b, 0xb4942fa1, 0xdd751d07, 0x937f43a8, 0xddcf6f83, 0x37ea1bb2, 0xdc2ed285,
+    0x5bb37453, 0xc861aa9a, 0x8a8976f3, 0x91cffddc, 0x2453d5b7, 0xf4609113, 0xa3dea91c, 0xa956a064,
+    0xeb6564d0, 0x2c6d5828, 0x1c00a0ef, 0x7faec281, 0x87f4405a, 0x973bfaf0, 0x12d853fc, 0x3f70c122,
+    0x8809f5ea, 0xfd14ff22, 0xd4b029d1, 0xbf21be45, 0x0a9e7797, 0x7ddac560, 0x9e179b4d, 0x791be188,
+    0x1f1e72b4, 0x8609f5ce, 0x2d8473f3, 0x0c6f0e8a, 0xd3cacc71, 0x4334f01c, 0x2de73384, 0x7bf73615,
+    0xb4fd34ef, 0xc08cd8c4, 0xc80cf26c, 0x4d8cf1a6, 0xa878ae78, 0x6db311ea, 0xb3761550, 0x35450a26,
+    0x6704dbde, 0x8b7436b9, 0x98985f81, 0x31dd423f, 0xd167b3b0, 0x72b52640, 0x0077b947, 0x04f30799,
+    0x62b6cc10, 0xb08399dc, 0x38b29797, 0x588dfa32, 0xa6c83407, 0xedd3c79c, 0x45142cb6, 0xe280be53,
+    0x19667a74, 0x2836816b, 0x554fac9b, 0x3105724e, 0xeaa2befb, 0x2f31cb1c, 0xcd108c2a, 0x2ad1c11b,
+    0xb0dd4b59, 0x10d87c06, 0x48220223, 0x76dd62a4, 0x56599337, 0x6689b06f, 0xe726c15c, 0xc72e7548,
+    0x74a39008, 0xbf582b03, 0x32facc9f, 0x67b63c31, 0xc965010b, 0x65275e70, 0x662dfddf, 0x8be95019,
+    0xce8ecbf5, 0x63c0def2, 0x298d8319, 0x3181e08d, 0x8a98fa0a, 0xf04294af, 0x7b72724a, 0x0d93e8d7,
+    0x504f8fa8, 0x20c0fe14, 0x579d7301, 0x54ba1a06, 0x379519e1, 0x145e7ec0, 0x83458e0e, 0x198def3f,
+    0xb49e6e83, 0xd66e7d04, 0xa1fd1bd1, 0x4015c155, 0xbe9aed83, 0x20b50f9f, 0x6f602ae7, 0xc43d4902,
+    0xb5b91eb6, 0xa3de6a56, 0x12f70446, 0x44e737cc, 0xd39ef7e8, 0x460f8258, 0xa1064798, 0xf2e898b0,
+    0x733674c8, 0xc4b2c147, 0x2eac6a1d, 0x67b8a098, 0xbfc04bf5, 0xddbb59da, 0x670ef9b3, 0x98a58a4c,
+    0x0f7ab2bc, 0xe23991a8, 0x1d088087, 0x522db4d7, 0x78dc9a27, 0xeab8435d, 0x279f2d64, 0x76cd9c2d,
+    0xe2bbcc9a, 0x578346a1, 0x393cb8ad, 0xaaa8cea7, 0xa2dc29e0, 0xc476b8fb, 0x4fc59531, 0xa30a9a72,
+    0x639c76e1, 0x0b866fe6, 0x8e5cc961, 0x9cbb6782, 0x932987a8, 0x62cbc3db, 0xc97c38b9, 0xb2c64e97,
+    0xfb400490, 0x9c4e471e, 0xc44ff02f, 0x5100944f, 0xa4cdea91, 0x32367c04, 0xe3fdfbad, 0x55411494,
+    0x25b4440b, 0xeaf731db, 0x8009ac6c, 0x946ad821, 0x22092bef, 0xa080b4f2, 0x01c20e17, 0xa472bd4d,
+    0x9a2bbd2d, 0xbab011b5, 0xba3d610b, 0xb3705c99, 0x243c3901, 0x3a7b0bc8, 0x64451dd4, 0x0a5883e4,
+    0xa0a5d27a, 0x59e62e73, 0x392f72f7, 0x184c66d1, 0x791a3268, 0xf720e762, 0xdec1d481, 0xc2a8ed27,
+    0x88345f2a, 0xb3c6e172, 0x94c268c7, 0x973485c5, 0x00ea7112, 0xd0fc9271, 0x163334d1, 0x67752012,
+    0x43f5447c, 0x51a19507, 0xbeef10f8, 0x3b0e3a0b, 0x1b9c769f, 0xf9cd6031, 0x02acda6d, 0x1071b105,
+    0x25e14f2f, 0x0252c1e1, 0x1fdb6a80, 0xf4583054, 0x967eff1d, 0x82369fb1, 0x524bab63, 0xf3d10636,
+    0x6ed5f9ee, 0x68c3fcf8, 0xca4b94c8, 0x484f061e, 0x66366eb7, 0x2550aa75, 0x38c39c98, 0x74817ce2,
+    0x98f82dec, 0x17ac6a87, 0x8c84062c, 0xea3a1c1a, 0xf66de0c6, 0xf1ce6d5a, 0x09277704, 0xb1df39d1,
+    0x7ee5c5de, 0x44d0b122, 0x0405a271, 0x7f572066, 0x18357611, 0xa7e0d8ac, 0x65a54ead, 0xc15aa9c9,
+    0xe19921a0, 0x13874ff0, 0x9f6e83eb, 0x26d0be63, 0x9be07b14, 0x6a5e8c33, 0xc7592ace, 0xb99ebf04,
+    0xedf99f4b, 0x7bb746a2, 0x6bf63eb8, 0x91de11cb, 0xf0c81b87, 0x27c51f28, 0x2e98b222, 0x8f311162,
+    0xd7fa58a0, 0xa6c74480, 0x23866567, 0xf10ed3f7, 0xe9cad3ce, 0xa7645639, 0x65de8582, 0xa927ea7a,
+    0x17106a74, 0xac52dfa1, 0x5e174f51, 0x7cdbf5dd, 0x77bf7e44, 0x91666185, 0x73ee8202, 0x1c9db5e1,
+    0x189936ea, 0x991c6197, 0x8fa5f8e7, 0x9d7e6277, 0x5d47bc6e, 0xac053f39, 0x4d1819a4, 0xfd0fb5c8,
+    0x1c96ed86, 0x92a90c96, 0x81c52f1a, 0xef795c45, 0xed56f847, 0xbc1373a3, 0x6c74b6c9, 0xb48682ce,
+    0x26c0b8bf, 0x43a00771, 0x34f9edb4, 0xc55c6a69, 0x8220d2c8, 0xf551263d, 0x5b98a510, 0x250ca8ed,
+    0x38a81877, 0x517732e3, 0x0c0806e2, 0xd56f41b8, 0x991241c6, 0x1699c166, 0x0fda50f3, 0x5e12ca89,
+    0xd8ae7cbb, 0xac96b0b7, 0x2f4abbad, 0x23ade90f, 0x7893cead, 0x934c6d98, 0xefbb27e1, 0x4230d2dc,
+    0xf341f672, 0x32b79897, 0x0adfe5b1, 0xec664489, 0xf485e8d7, 0x9c76f42f, 0x84efea29, 0x76a330f6,
+    0x65aec05a, 0x01014144, 0xcfecd545, 0xf7603ebe, 0xc69b3a4e, 0x40c03ed5, 0x1f7c9cc1, 0xae373b6a,
+    0xa49fd62f, 0x0212a9cf, 0x19e8492e, 0x82cca276, 0x3cd3a866, 0x5c430abe, 0xb2b98bd6, 0x4070780f,
+    0x659250ce, 0xcc27b880, 0xa02ebb04, 0x8cef2e0a, 0xc3394891, 0x24aa2b9c, 0x02d2f869, 0x2ab0494b,
+    0x03d59bb0, 0xb9f2fe1d, 0x04092e31, 0xfd7fffda, 0x49ec2ef1, 0xdc84ed1c, 0x9770953d, 0xee71d55b,
+    0x83e9a528, 0x2f5381ce, 0xe7ff43c8, 0xc831a0e6, 0xa8cc3116, 0x8fc4c291, 0x0d9867b4, 0x19aab2a7,
+    0x8f00e249, 0x10825beb, 0x2e36cb4e, 0x5a70e5b7, 0xc9b0b3cc, 0x2f687b24, 0xb5198e0a, 0xa511032d,
+    0xe49e4dc6, 0x2026e117, 0xfd90f5eb, 0x42c63991, 0x128bd5f2, 0x786bd18f, 0xa2d75991, 0x13ef55db,
+    0x633fab67, 0x3ba0cd9a, 0xbce65a57, 0xf04911d4, 0x3c9dfafd, 0x86873bad, 0xde0763be, 0x9dc8c9c8,
+    0x8abb8372, 0x80843c2a, 0x8f30b778, 0x27af7791, 0x580a5fbe, 0x970a86e8, 0xaf0898bb, 0xae05511b,
+    0xb6efc080, 0xefb6d1f0, 0xb351ab2f, 0xe477fd0c, 0xee8fe08f, 0xdf84e71d, 0x2f2cdda7, 0xa5a25f8a,
+    0xc350f668, 0xff658ff1, 0xd853e7ae, 0xb63843ec, 0x1633bb97, 0xde473e74, 0x1fd80fee, 0x877a1f0e,
+    0xdb88d430, 0xbbd96ff6, 0x21adfeee, 0xe73741bd, 0xa21373c1, 0xd7c48d1e, 0xce18355d, 0x91138005,
+    0xcf5e157e, 0x2e67f6a5, 0x29480f8f, 0x566e8861, 0x1a1a67f4, 0x79d7a4f2, 0xf7c66faa, 0xc8468f44,
+    0x83091c61, 0xb9770183, 0xc4d4e8d4, 0xe4dd382c, 0xcc19ee23, 0x2214287c, 0x0528dc12, 0x49821610,
+    0x07b78cbd, 0x6b422ec4, 0x8a176eb0, 0x6d339777, 0x66fc10fd, 0x6116af0d, 0x75eb25d8, 0xd9f24e20,
+    0xb7a109c6, 0x80d43142, 0x2715e45f, 0x45b1589e, 0x8ccf4ceb, 0xf5960dc8, 0x3813c2d0, 0x87b76048,
+    0x23a4947b, 0xe0b245a4, 0x46f8fabc, 0xe0a7c3b3, 0x1f8467b3, 0xcaad1f8f, 0x2bc0d750, 0xe19be3b7,
+    0x28aa7271, 0x025405a8, 0x1a2a4c64, 0xa60fa600, 0x118de40b, 0xb405c508, 0x4904281f, 0xd0b433de,
+    0x409c04e3, 0x762abe03, 0xc2fe4291, 0x46dbd331, 0x24c8aa13, 0x6a0dad65, 0x3d7268df, 0x5d5ab8c5,
+    0x045c02bc, 0xa69bb747, 0x11b8d65e, 0x98ab94bf, 0x20b2ff9b, 0x3afccf4b, 0x69f7a6fc, 0x94c2c40d,
+    0x26bf33a2, 0x61dad737, 0xf3300bc3, 0x765b9783, 0x50990b5f, 0x913787ee, 0xb265581b, 0x1f1b8cda,
+    0x7c1eed7a, 0x1642f49e, 0xe457c161, 0x78199d9d, 0x6f8f2aed, 0xcc34a5d5, 0xff86d934, 0x1d0ad93e,
+    0x682fcb9d, 0x62ac0e2b, 0x31784a2a, 0x9cdaaaed, 0x91378eaf, 0xf195bc32, 0x64c71f43, 0x50116158,
+    0x30c13fe8, 0x4b72f811, 0x2882ece6, 0x2229e510, 0xbbc80c38, 0x5e430506, 0x0df43b50, 0x4d3b5dbf,
+    0x4cc2f3a2, 0xc223229f, 0x8a166684, 0x22e78981, 0x27d5e12f, 0x29812b22, 0xbfda7e34, 0xcc640438,
+    0x5d0cb8ef, 0x039bd606, 0x51cce034, 0xa1913458, 0x7408ff83, 0xd48c1012, 0x9cd691cf, 0x9caa1674,
+    0x7ebe768f, 0x62f2bad7, 0xced7302f, 0x77d73e5d, 0xa512754d, 0xfbe2b31c, 0x2cc6dd6d, 0x45316d44,
+    0x62f4dc46, 0x51fab624, 0xe7881016, 0x1bb938a4, 0x7d7f6026, 0xb37d5a9e, 0x3ee0ad6f, 0xa1f6c6a6,
+    0xba450ab8, 0xb35411fc, 0xf36a6a3e, 0x9910d5cb, 0x267e7fd0, 0x2496030a, 0x47288e35, 0xb8e3774b,
+    0x8d426c87, 0x14e047d9, 0xf2382467, 0xf51796d1, 0x4314698e, 0x194abfd3, 0x2ddef26c, 0xf63e9f26,
+    0x3895ecdc, 0xcdf724e2, 0x4761ae93, 0xbec88eb7, 0x2e2cd517, 0x406efe81, 0x36b57bf3, 0xdbac398f,
+    0x17e3a1ba, 0x321832c2, 0x41787d71, 0x132de3be, 0xb65bc997, 0xa065506a, 0x7a9b4655, 0xd40c6720,
+    0x844fbb5b, 0xb25cf084, 0xaca37387, 0xe927ac84, 0xdd3b8140, 0x4716b1df, 0x8ab36cd5, 0xa99a79b9,
+    0x9ac8b449, 0x2ec6dde4, 0x523443de, 0xc1749c8f, 0x2264c09b, 0x40877319, 0x553c6e9f, 0x59a1c682,
+    0xb5113ae9, 0xf0459bb9, 0x3c812999, 0x3fad1018, 0x76ac4014, 0x58d39948, 0x6c614667, 0x8f318891,
+    0xbc9a2c10, 0x3bc229af, 0xa74f052c, 0x74520739, 0xdaaa619a, 0xbb3bd52b, 0xe68317a4, 0xe658f3b0,
+    0x1d544a2f, 0xb710ee4b, 0xf93915b7, 0x949c4c6a, 0xa6b993fa, 0x5b6177cb, 0xa56e5fba, 0xffc798d9,
+    0xe7b196e3, 0xc21ba20d, 0x04c9d1b3, 0x64643c09, 0x7d3ffa78, 0x8455572e, 0x22df09eb, 0x7e7730fa,
+    0x7113385a, 0x4562c563, 0x67811748, 0xad686cd0, 0x5b64715d, 0xf5129374, 0xc2144882, 0x402f3512,
+    0x57c03033, 0x067af54f, 0x3a0936a3, 0x378767e1, 0x9590a60e, 0x4be7ba50, 0x61f7d0ba, 0x9539d2e7,
+    0x513e8de6, 0x241c924a, 0xc9415cf0, 0x881dd3cd, 0x9714e01a, 0xf643d444, 0x587b18c5, 0xe73a87fd,
+    0xc6e562f9, 0x8f29aad8, 0xf435650c, 0x76846ec1, 0xe34b87d3, 0x470888e6, 0xf63adc5f, 0x14fc2e99,
+    0x05b33b84, 0xfa3c3bdb, 0x43020669, 0x7c589ab8, 0xfb84dc5f, 0xae8ce4ac, 0x9936471e, 0xe64a3a81,
+    0x0bb30bbd, 0x9c8352b6, 0x8da244d0, 0xa84d72df, 0xd0458b56, 0x728458c5, 0xdaa880ee, 0x4dc56cb4,
+    0x2b067ee0, 0xcf6f6236, 0x8823f811, 0x475b71b9, 0x3574b4fe, 0x81a0d5f2, 0x545803ce, 0x802094ff,
+    0x125b765a, 0x06a64523, 0x4f15025e, 0x0690213b, 0x1708f3be, 0xba91aa28, 0x292c8a3d, 0xc7fdec92,
+    0x88aad503, 0xfd427f93, 0x43e3b6d3, 0xc764b606, 0x000310f2, 0x10cc5557, 0xdd2fdebb, 0xcc6fc7b5,
+    0x79efe49f, 0x0e5141b9, 0xd94ddc9a, 0xf386a69f, 0xede4b2c8, 0x74285dbe, 0xc211696b, 0x81600e82,
+    0x7533de39, 0x9a9ece4b, 0x36e14d95, 0xf11359dd, 0x59484d35, 0x2d57a64e, 0xae9241fc, 0x8f6cff64,
+    0xf9c6731a, 0x7e350807, 0xe8793c34, 0x667690ba, 0xc429cc2a, 0xc0a2441b, 0xd88d3e4f, 0xb92372a1,
+    0x6680ca1d, 0xcbc2a8e0, 0x2a3220b3, 0x5bb64469, 0x26e8f712, 0xc6ffe1e8, 0x29a5afc6, 0xc78c909f,
+    0x66e52469, 0xb6130d91, 0x646536ff, 0x85f92af5, 0xaf756e26, 0xf88cccf2, 0x2f6b6dc6, 0x98e29a15,
+    0xb55c74f9, 0xe552d812, 0x7412404b, 0x5ecc677f, 0x8fe721b8, 0x5debca73, 0xc31957b7, 0xbd066d3a,
+    0xd9be8d4b, 0x1bf7ca37, 0x36fc14d2, 0x55ace0af, 0x71d96311, 0x0cc733a3, 0xaac2baf2, 0xab68fcdb,
+    0x23a410b3, 0xba7d4a7f, 0x793e679e, 0xea2dd657, 0x3ade995a, 0x7754e118, 0xeb39d293, 0x71bcd468,
+    0xf076b322, 0x7982e866, 0x7f8bbe8e, 0x7ede181e, 0x1504706c, 0xb5f6b6cd, 0x7f77acdc, 0xb21b8339,
+    0x230679ce, 0xf1960035, 0x5ea923c0, 0xcca30993, 0xf2d91d30, 0x4ad213cb, 0x96d07fa2, 0x7c2af0f8,
+    0x88b24149, 0xdbcfd6d9, 0x09f906c1, 0x1904794a, 0xbf2a12b0, 0x04824390, 0xa222bff5, 0xacb8721f,
+    0x1aeae5f4, 0xf85b6d67, 0x2f459ea6, 0x6b3c250e, 0xa41e7059, 0x887a9b94, 0xd3837555, 0x9041b51c,
+    0x1c75db9e, 0xc4b428df, 0x487de7b4, 0xdf475df0, 0xdc982d3c, 0xd2e6f9e2, 0x58026f76, 0x2f7d5a22,
+    0xf11a2e3c, 0xd534cc2c, 0x72fbeab5, 0xfdaf87b0, 0xb6bdfef3, 0x3a358b02, 0x3c0eca2f, 0xc4bc43ff,
+    0x2b8f21cb, 0xcab3d234, 0x814e897d, 0x681b3ae4, 0xb3c36746, 0x1dfe6811, 0xd0bce639, 0xd1026690,
+    0x2f8142b2, 0x8d1c4197, 0x73deb1c3, 0xc606f31a, 0x4906283c, 0xd0ec64a1, 0xb16b114e, 0x854b0f70,
+    0x23eb03d9, 0xba4257ee, 0x7281655b, 0xd75f594d, 0x77e2469f, 0xac15daa1, 0x4140af0a, 0x70f3ca7a,
+    0x0c53ca07, 0xfcc22eae, 0x7732b2ec, 0xfe87d3cd, 0xc22f8500, 0x3fb2dbad, 0xa55ff6e4, 0xa26ad4e7,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000043745014495660238487450\
+                         04454235242730706338861786424872851541212819905998398751846447026354046107648 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492,
+    0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082e, 0x7859d066, 0x50fde9dd, 0x51f3a3e1,
+    0x00000000,
+    0x9d35c9a0, 0x405b05d9, 0x6b80616a, 0x13148bdc, 0xf1b6ca6e, 0x94333ede, 0x5843fa07, 0xcc37c0bf,
+    0x40eb122f, 0x86adb000, 0xf02d7eca, 0x1bfd1eb1, 0x56f2b329, 0x933c83f1, 0xd5c546e4, 0xc7dcca42,
+    0x79400db7, 0xf3626fe4, 0x54f1be9a, 0x42840a62, 0xa2b5fc6e, 0x429d6c20, 0x1f674ba7, 0xe01a8421,
+    0x3f315cc4, 0x4c832763, 0x9e451977, 0x19b7e1cf, 0x1187b80c, 0x72b42001, 0xd72537d6, 0x5559e5b8,
+    0x0560701a, 0x164d4fae, 0x52623aba, 0xab169a3d, 0xfb48d2c1, 0x19069e7e, 0xf600eb3c, 0x2fca5db9,
+    0x23eaa545, 0xbec5995b, 0xba8ee19d, 0xc7a192d7, 0x19c9d132, 0x4eaf50dd, 0xe5f4423f, 0xf5b8d825,
+    0xe2ae0e26, 0x8e2d4e36, 0xc433a0ec, 0xc82ea9c5, 0x1d41c0bb, 0x2e83156c, 0x33beb75d, 0x189c3438,
+    0x009e651c, 0x00e0ebe9, 0xe7159ed0, 0x000e238c, 0xb38faf83, 0x6023cb72, 0xd76b48e0, 0x2f74468d,
+    0x1af2d722, 0x628b8ca0, 0x8e04470a, 0x35d346ae, 0x0e7da1bd, 0xec246216, 0xfaec20d2, 0x5d23fb67,
+    0x31fdaab0, 0xca0d47bb, 0x6894a670, 0x4816a1b3, 0xab17e1c5, 0x01b916b8, 0x09423b5c, 0x0e318fd4,
+    0xc1d12c74, 0x5569c5f8, 0x9ac5830a, 0x1a3dfd05, 0x7140a1a5, 0xf7050016, 0x369f1b17, 0x5df0eea5,
+    0x65bed453, 0x92c07ff2, 0x592b4ae5, 0x34679bf8, 0xed1d3cc5, 0xbc95cfb5, 0x1e201b8f, 0xd5a4be25,
+    0xb04f9f8f, 0x7069ec10, 0xe29de8c9, 0x6a0dd10e, 0x23d1f7d9, 0x1246f868, 0x6f80728e, 0x6d6e8445,
+    0x186e5d8d, 0xa34a3362, 0x0418a1d4, 0x2b993b98, 0x0fa6431b, 0xb2273d51, 0x2e771659, 0x6c28dc3d,
+    0x0ae8ccbb, 0x74d59988, 0x7b412e6b, 0xe0e7a57a, 0x64880021, 0xe679f7ac, 0xd43bc7cf, 0x367520e2,
+    0x52b12f9d, 0x16e13f0d, 0x8d4eaff4, 0x9ff11a2e, 0x1e5ee138, 0xa57035e1, 0x5edfa1be, 0xd1eabb06,
+    0xb9183210, 0x395936ef, 0x36ff3743, 0x2c2d7df0, 0x5b11d4f1, 0x27efa686, 0x24241516, 0xfd94ff4f,
+    0x1334cfd3, 0xa2b3478a, 0x452bb1a6, 0xa88c36e9, 0xe4599a3c, 0xc569ef5f, 0xfaa86f3e, 0x5ba2ee4f,
+    0x87fdc1af, 0xb77e843b, 0x76ca7641, 0x2beedd2a, 0x8d064f5f, 0x5ba8ee1c, 0xe2e4af44, 0xc67e52d3,
+    0x48f78fe2, 0x91909c88, 0xb3c8da69, 0x2217f7f9, 0x56ff6f2d, 0x0fd49807, 0x52a29681, 0xdab9f9df,
+    0x5dae2241, 0x500166d2, 0x321f79bf, 0x861b6f11, 0xd771b717, 0x9f57d3fd, 0x8afa0df9, 0xb97cbbc8,
+    0x1477f40d, 0xf3f3fed4, 0x616c7af6, 0x62984a9e, 0x9c8fb82e, 0xaa37d954, 0x675eb582, 0xcd6b9875,
+    0x422c3d6a, 0x73969179, 0xe6ba7cc5, 0xaaa6e098, 0xcbf73329, 0x32955813, 0xe3de9447, 0x3fc31ef5,
+    0xf50901b7, 0xdde5d48e, 0xc1cebd23, 0x53aaee54, 0xa537c99a, 0x34a52564, 0x164fbff8, 0x7a914aa7,
+    0x1d887c47, 0xb2d58de8, 0x64c4be0a, 0x70980b6b, 0x95b8a661, 0xbcbabc48, 0xd01f6610, 0xb891ff86,
+    0x37921b60, 0xf7c52c28, 0xbbb33ea7, 0xb15efb85, 0x98406917, 0xcdf2153f, 0xd785c5b8, 0xc7ab24f3,
+    0xfe849905, 0x9a876787, 0x392a31e7, 0xeef0018e, 0x9d4d8560, 0xbb64430d, 0x1684a8b6, 0x3f182cf6,
+    0x17169b0b, 0x94c046f5, 0x81c8281f, 0x2d75c25a, 0xed1cb380, 0xffba7598, 0x3121a8ae, 0x5b984ee7,
+    0xb79b6655, 0x41026c99, 0xb20522a0, 0x79a0fb1b, 0x019eb4bc, 0xd23a8a32, 0x7826bfb7, 0xfe29cb11,
+    0x846987cb, 0x48c619a6, 0x5294dc0e, 0x6de29b3b, 0x1fbe4d1e, 0xf63bf853, 0x878f74c5, 0x5bdb0f5d,
+    0x616c0b96, 0xd8ff398b, 0x5ca4d068, 0x2f3d2528, 0x11c4cb71, 0x06d2fcc7, 0xdebefddf, 0x2925aa06,
+    0xd1b4dfd4, 0xa2a6a465, 0x1ed34ed7, 0x3af76d66, 0x65ecf972, 0x1bcb3770, 0xb6d7ea99, 0xb0d49d9e,
+    0x5c9f791b, 0xe25bade4, 0x77fb2751, 0x4128fd2e, 0xe873104e, 0x313cf840, 0x022ddea5, 0x18cc6d56,
+    0xdec6fc3a, 0x5dab225e, 0x225969e4, 0xd6be90fd, 0xf041c567, 0x9204a29b, 0xa546af5d, 0x2833fad7,
+    0x0d239f69, 0x4e7c7580, 0x09bce9dc, 0x3e2fdc64, 0xfc16f48e, 0xf23efdab, 0x8e92a40b, 0xa9e545ce,
+    0xaf967853, 0xefa22d2b, 0x527d5767, 0x2ed48ac1, 0xb7480759, 0xfd9f6dd2, 0x691af17f, 0x3ce5d13b,
+    0x637d7073, 0x3ccf83eb, 0x658ff19c, 0x1ef3359f, 0xb1b3d7e9, 0xc2297a1b, 0x54f9ba31, 0x8b19a3ce,
+    0x232c6b0e, 0x0db576fd, 0x288f8224, 0x8e99634f, 0x382e63b4, 0xafa82f75, 0x31f79ee4, 0xe18e4d54,
+    0x8d2cfa5d, 0xac90c720, 0x63ae8a49, 0x317a4ad5, 0x597d00d3, 0x41b751c9, 0xd059b8ab, 0x5a75364c,
+    0x7097b84e, 0xd15120d6, 0xe10219b2, 0xd8df6842, 0x316d0c9f, 0x87e8019f, 0x79483d56, 0x91923f31,
+    0xec566f22, 0xc1fc0dff, 0x7fa6f742, 0x7b9e463e, 0x4facf32e, 0xc17bf716, 0x8e1c3cc5, 0x24f9c683,
+    0x031e92f6, 0x6ff5048a, 0x621932d9, 0x8bcdbee7, 0x312ead6a, 0xb26b4a5d, 0x4ece9be4, 0x170d61d7,
+    0x17e73366, 0xd49897c8, 0x34d39a36, 0xd80550a0, 0xd0ad003a, 0xc5ed29ef, 0x97aa8f9c, 0x22895a18,
+    0x781c3486, 0x091185c7, 0xd9541804, 0xc1bd4296, 0x8f1e840e, 0x260740f3, 0xee0ff825, 0x14703360,
+    0xebf0ea1c, 0xb800dc2d, 0x5e2dfd25, 0x6c38ba46, 0x51351e6f, 0xb9dec290, 0x7c4cd850, 0x297d6a78,
+    0xf22dc5e4, 0x5bff5b9c, 0x1cf23c9d, 0xbc35f058, 0xdffbc0a4, 0xd5669e15, 0x5b9a2e8f, 0xda9e151e,
+    0x94c90b76, 0x4419cce6, 0x2d7c5f98, 0x8b808d09, 0xd0b033d3, 0xe70df543, 0xa94ee805, 0x209257e8,
+    0x983a5926, 0xc0988be0, 0xa31a16ba, 0xdff3aed3, 0x5872c978, 0xd5b54375, 0xfd77e7d4, 0x2d7d0902,
+    0x8ff260d7, 0x91749a07, 0xf486f953, 0x1119b61f, 0x1389a5ac, 0x44c46b77, 0x836a3daf, 0xb4d0b360,
+    0x191b784d, 0xe7926f1f, 0x8a5d5c31, 0x3c8700b5, 0x654ec0bb, 0x61e7b937, 0xd08716ea, 0x50091c89,
+    0xed71f186, 0xd8a5b71a, 0xb05914ee, 0x4fe218be, 0xbc2d1042, 0x3e883d5e, 0xedea7fb5, 0xb7089930,
+    0x42d6bb1c, 0x1d84c7db, 0x20c9d7df, 0xb8f95b59, 0x55e76bf2, 0x4a0fce6c, 0x57a16b65, 0xa1c99b41,
+    0x79d63f3a, 0xf18e0bcf, 0x179818b3, 0xab8cbff1, 0x35cbe1e0, 0xf066919e, 0x4c15f4ee, 0x11715125,
+    0x0cbd313c, 0xaf705328, 0x4c93e85f, 0x5f30b7a1, 0x47c12f94, 0xacaeaa8f, 0x7b21ecca, 0xfe381bb1,
+    0x2fa7d92b, 0x3d674ecb, 0xcd15cbcf, 0x8bd33ed6, 0x032bd0a7, 0x432c4b63, 0x002c8f39, 0x943c4d76,
+    0xb7dd8716, 0x0ff4ee6f, 0x86a744da, 0xe31ec5e5, 0x51eba1c6, 0x0cc45aa2, 0xfb39ca21, 0x9df05f67,
+    0x38f059c2, 0x0b9d9240, 0xd3cdc9fe, 0xdf4a7554, 0x72b231fc, 0xff953b35, 0xfbf68caa, 0x8a1e6c6c,
+    0x1c903482, 0x86349fb3, 0x71a0c452, 0xfd5bcc72, 0x24eee9f9, 0x180d7a37, 0x630290e8, 0xbaa17e5f,
+    0xec96a0cd, 0x685fb307, 0x15d6e6cb, 0x4212b8fd, 0x743e944a, 0xdab5a3f5, 0x04dbe727, 0xf1741fcf,
+    0xde7947f6, 0x844f09b1, 0x56b6e5f8, 0xf9e7ce4d, 0x0fb0cf57, 0x5b2c021f, 0x439c1b6c, 0x9c635f94,
+    0x8deb6723, 0x63cca8ab, 0xee42dfea, 0x10082628, 0x925fdcb7, 0xb532b5fa, 0x7525415d, 0xe03fa229,
+    0xe2fbcb65, 0x9158d34e, 0xabc7f201, 0x9f24578b, 0x4052a9ac, 0x8373b469, 0x2d45767a, 0x952716e7,
+    0x2efee6c5, 0xcc253cdc, 0x1bc2ca31, 0x642c804f, 0x3c55216d, 0x07c979f6, 0x9498221d, 0xbb46812c,
+    0xf936df4d, 0x2f2b3d29, 0x6a891202, 0xd90fa09b, 0xb36fe519, 0xce3bc8c6, 0x227495bc, 0xbc89fddd,
+    0x40aafbac, 0x09f3ab1d, 0x9684b82a, 0xf4fffdee, 0xf67c0d0d, 0x81b1923d, 0x70ebb99a, 0x50fffe8c,
+    0x808aebe5, 0x99a2a075, 0x8303fadf, 0x532834f9, 0x2f98d0fd, 0x3f490293, 0xdebd31ee, 0x00abfc92,
+    0x1b011463, 0x2fbcc7c8, 0x6330504f, 0xc9945d1a, 0x14c5d4ab, 0x2f1ba559, 0x01d432b2, 0x22fa069e,
+    0xb4f04df2, 0x24dbb273, 0xb2f2a04c, 0x1829adc7, 0xc6eeaa8b, 0x650935a5, 0x6042e799, 0x4af9058d,
+    0x6672519a, 0xef9f2416, 0x0cf68111, 0x89eb92bb, 0xf2f3714c, 0xbef4e04f, 0x6dcf9086, 0x71b0630e,
+    0x46b6cd04, 0xfcfb549d, 0xde9186c5, 0x12c7aebb, 0xf6429f1a, 0x773f3321, 0xa2c5c4d9, 0xd125e235,
+    0xc3650eb4, 0xd36c621e, 0xd0646137, 0x70323267, 0x288c70f5, 0x8fc039dd, 0xf022bc67, 0x0580700d,
+    0x25caa73b, 0x9bf6886e, 0x435e015a, 0x0c2da474, 0x9a852930, 0xcac69197, 0x44f05431, 0xf629e751,
+    0xb30cf7a4, 0x6b463bd4, 0x153529c2, 0xc9aeb7f9, 0x32becad2, 0x2aeae140, 0x07b63974, 0x9398da5e,
+    0x26aebc9d, 0xe96ea557, 0x20010752, 0xf55f7bde, 0x96cf760c, 0xda94af87, 0x54258612, 0x323a3c8a,
+    0x95e016ec, 0x2aeefae1, 0x26f53806, 0x32e22591, 0xe41e4c8b, 0xdb36251e, 0xf5fa254c, 0x2a11b9ce,
+    0x9af657c8, 0xcc622fe0, 0x723c50b7, 0xc5e55802, 0xbc3a336f, 0xb03f53d3, 0x65063f68, 0xf7ae0732,
+    0x1d555861, 0xef9e4f24, 0x653e939f, 0x0ac921e9, 0x5a97729a, 0x78dc01d6, 0x60e01926, 0xc4b23b33,
+    0x97fe4151, 0x9b34c4e0, 0x8355ffd5, 0xd0f3299f, 0x0ca68b05, 0x9100241a, 0x90aec513, 0x5392853c,
+    0xa02ede96, 0x5576bccf, 0xeb9979c1, 0x1872ebd7, 0x480ebd4d, 0x71a8bd71, 0xefaf6682, 0x05495de3,
+    0x89d2336b, 0x573e286d, 0x01c9ac1f, 0xd0dea445, 0x8eb9a04d, 0x113d85e7, 0x39a4e335, 0x969555f3,
+    0xeaa1c890, 0xc696413e, 0xa014edfc, 0xd003ec64, 0xf21f1a67, 0x3206aa23, 0x43235249, 0x1f44a76c,
+    0xa390fd1f, 0xcfe4435d, 0xd1ab5a75, 0xd522e76e, 0xb1c89568, 0xecbaf26c, 0x8b78454f, 0x91e3a7cd,
+    0xefa392f9, 0xf0d31fa8, 0x5ae71b1d, 0x847b827f, 0xeb19ed0a, 0x721cf410, 0xf2d2dc08, 0x10c0e3a5,
+    0xfb3caf07, 0x3f5b8a3b, 0x6f7b843c, 0xf3a3d6bd, 0x30703210, 0xff3cd202, 0xb645bc12, 0x3f5e2f75,
+    0xc9670a65, 0xd151d015, 0xed1d3d4a, 0xb9e84756, 0x26cff63a, 0xef836b05, 0xfa0e4f4a, 0xf780baa0,
+    0x3e0b9afa, 0x5c7dac53, 0x03adcc3d, 0x5b807ada, 0x4db60974, 0x983f193f, 0x84976f38, 0x9316d74c,
+    0xfa497d49, 0x3b12618f, 0x8f9332cb, 0xf72bb41b, 0xbd239a59, 0x8a818046, 0x22039464, 0xd18f1aa9,
+    0xf9c9a872, 0x2fba2174, 0xa9fe73d7, 0x50e6c1bd, 0x19dc98f6, 0x73a43321, 0xd00779bb, 0xf6407afa,
+    0x127108c7, 0xacfabf98, 0x680a003b, 0xecc34d0e, 0x19a2c7af, 0xe98e6c66, 0x5de9642a, 0x90a29e21,
+    0x9d30b21f, 0x645a17e0, 0x4e27ce80, 0x95600dbf, 0x8f99a7f2, 0xcfdcdc4f, 0x780ebc97, 0x8593684a,
+    0x4a734581, 0xd1efdfe8, 0xe055f5c6, 0xba503c5a, 0x7cc1be75, 0x52501ec7, 0x0055e5ed, 0xf48a6149,
+    0x8bac4992, 0xb749529a, 0x99238bad, 0xec7d408d, 0xfa066f19, 0x9fca0f8f, 0x9599b8f2, 0x13fe5b89,
+    0x74127643, 0xd9ba428c, 0xb44b58a3, 0x019f44ea, 0x5289ff84, 0x05f5611a, 0x7a6a03bd, 0xb8f4008e,
+    0x99f604a9, 0xcaa0d979, 0xcbe65887, 0x7d906d7e, 0xb7f74156, 0x9622d67d, 0x508aaf5c, 0x206b0546,
+    0x050b22fb, 0xc3bf51d7, 0xba872dc6, 0x2b48bcff, 0xb2bcdf01, 0x99ba40a9, 0x329d3c42, 0x71dd70e6,
+    0x2f96feac, 0xef620895, 0x86d85c63, 0x318cf0c1, 0x36459ba6, 0x9d90e9ed, 0x037f2315, 0x2e5e20c4,
+    0x6cfe5387, 0xb329aa2c, 0x6e3665e4, 0x1b63423b, 0x9073b3f3, 0x13110780, 0x2ce9f128, 0xadd36b2f,
+    0xf6f515f9, 0x7fa5af6b, 0xc7477286, 0xdae4f9b5, 0x780af6de, 0x13e55d72, 0x00cb52bc, 0xe6d8a995,
+    0x2cd85af8, 0xbe4e256e, 0x50526cbd, 0x57ab8da7, 0xe5cb42b0, 0xedd00bf8, 0x09bfba0d, 0x86526081,
+    0xf269644b, 0x1fda2c8b, 0xb5772eb5, 0xfe71e84d, 0x16d0e695, 0xfecf9d11, 0x09cf99fa, 0x35e3ad42,
+    0x692860e5, 0xf8e389ac, 0xdd0d769a, 0x7ae31b5a, 0xd0de1138, 0xdf253600, 0x953c5318, 0x36af19de,
+    0x47a1f02c, 0x072a7a75, 0x00f3cd10, 0x7dc4af08, 0x46669a3d, 0x022c3007, 0xc5b35242, 0x16b6c24e,
+    0x4392536f, 0xc7d161c7, 0xb28d9df8, 0x39de261f, 0x56d7a9c3, 0xd85aa1d8, 0x6a5444d6, 0xb95f051c,
+    0xfdbbd488, 0xee489c04, 0xd38f82c9, 0x284d9103, 0xfa86149d, 0x153865f9, 0x1815ac12, 0xa436a433,
+    0xc7ea7247, 0x16e92993, 0xf1f7d53f, 0x2c9839f0, 0xf708ddbd, 0x24f451b6, 0xf192485d, 0x322589a2,
+    0x756b199a, 0xd6e9fdf0, 0x43a7d66a, 0xc944f8e0, 0xd4022aa6, 0x05121574, 0x3aa7e40a, 0xc33b252b,
+    0xdb26b846, 0xd90ada62, 0x351f5a06, 0x03a8d542, 0x81cfeb80, 0x18e85491, 0x3fd55726, 0xfa6ebe94,
+    0x8543d5ba, 0xa36e824d, 0x8e65f51a, 0x20b38013, 0x2ca4373f, 0xd31bec47, 0x378c2b3e, 0x99910ec9,
+    0xddb4cd77, 0x905a4b1b, 0x5fc56e57, 0xa34fe0ff, 0x314a9186, 0x27451094, 0x193df1c5, 0xbfe41252,
+    0x167655c8, 0x1da14ac4, 0x815eb8ed, 0x10d30291, 0x1e42b9d1, 0x1aaa99c1, 0x81b03ce2, 0x0a7cd24e,
+    0x79e17609, 0x120abcde, 0x191c0c9d, 0x4b72c0e5, 0x57fb7313, 0x9a07b563, 0x657f771b, 0x11116f14,
+    0xed2062cd, 0xc8aac8aa, 0x211be10c, 0x89ed549e, 0xe2389df7, 0xe9075da4, 0xb23fe90a, 0x2ce7638f,
+    0x63df1b23, 0x20d2fc54, 0xc14dfa9c, 0xfcd0ad3d, 0x647b222a, 0x06f82335, 0x8e7d7a98, 0x296b11d2,
+    0xc77cd7a8, 0x231562b6, 0xd8353169, 0xdeaed091, 0x714707aa, 0x515c133a, 0x7b3e1266, 0x440c99da,
+    0x481afc12, 0xf9fd256e, 0x79a5ce44, 0xbd7f5be4, 0xe9898de6, 0xea7d9ff8, 0xec4adcbc, 0x3d388ac2,
+    0x5657640c, 0xc2176c66, 0x4853134d, 0x346107f8, 0x1004f8e6, 0xb5d2073b, 0x6be58def, 0x2af90d7e,
+    0xee343bb6, 0x9512819d, 0x993409bc, 0x0d82eadd, 0x3a9f6824, 0x13303c4d, 0x92eb39f9, 0x86f699d0,
+    0x0487425c, 0x91c24b03, 0x6be13cfa, 0x90450490, 0xb486808e, 0xd154e5fd, 0x5b2579e4, 0xe54ee31f,
+    0x07e2e274, 0xf1f6c150, 0x11f6f26d, 0x7f020a06, 0xbb4fe7e7, 0xd244f873, 0x9e642d98, 0xfaf786c3,
+    0xe3cec663, 0xdf0eff21, 0x6dc108c8, 0xfe5bfa16, 0x13ddde1e, 0xf8c78250, 0x18cced6b, 0x0287a362,
+    0x65676e02, 0x7dad663d, 0x8e9e662f, 0x0e73f001, 0x1dba6c98, 0x7d54f9b7, 0xb6134b8b, 0x0dd621e2,
+    0x6605bb14, 0xa2676ef2, 0x2667f298, 0xb5a9ae59, 0x2bf98111, 0xf9eba75a, 0x58bac699, 0xe39186dd,
+    0x84635eb7, 0xd4e9aa66, 0x152f1fc3, 0xb195850b, 0x7d1a82e8, 0x7d7a7430, 0x1b817fac, 0xf9095f29,
+    0x85253396, 0x714ab773, 0x355059d1, 0x682f7c81, 0xc10ffbd9, 0xd4f89626, 0xdfc75fc2, 0x2b40ee06,
+    0x3ca0e270, 0xefb9627b, 0xd22d4a32, 0xda46afa0, 0xb93413ae, 0xaf6fe396, 0x0c83dba4, 0xdbaf28db,
+    0xf2f48ff0, 0xc6e05677, 0x1c01f269, 0x965aa48a, 0x98767b61, 0xaa0fd4aa, 0x0a58c832, 0x891dcd8a,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000021872507247830119243725\
+                         02227117621365353169430893212436425770606409952999199375923223513177023053824 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249,
+    0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640417, 0x3c2ce833, 0x287ef4ee, 0xa8f9d1f0,
+    0x00000000,
+    0x8ddaed78, 0x938d605c, 0xbe727aef, 0x12678d4a, 0x0df9ab9f, 0x44bba7a4, 0x05553185, 0x5b8c208d,
+    0x85a6cdb2, 0xbd41d041, 0xc7d5dc04, 0x0a998dda, 0xde57848d, 0x0334ccb5, 0x6448daef, 0xef66084e,
+    0xde708088, 0xd224a631, 0x60ffa486, 0x0ea7465a, 0xb170f9da, 0x7ccbe114, 0xcc07ea22, 0x9335d915,
+    0xd6d668d7, 0x0ced4c0e, 0xa6265c18, 0xbe257812, 0x04a35b9d, 0x8a6c284a, 0xe55145ee, 0x9ca8e06c,
+    0x3f90b02e, 0x6e78d8d4, 0x915c319a, 0x73d25426, 0x10e0906f, 0x5c498aeb, 0xaaa1afe4, 0x3ece689b,
+    0xbc41c38d, 0x91838179, 0xfc35a721, 0x32e0f944, 0x054579bc, 0x72c98d2f, 0xf7e97ebf, 0xd802ecee,
+    0x54d60415, 0x03522935, 0xb022e993, 0x51868731, 0xa35f0046, 0x806cd694, 0xe69ab218, 0xc41504a8,
+    0x7ff24fa0, 0x6057ae7d, 0x75d38d91, 0x019cc83e, 0xc56d6a0e, 0xbe93289f, 0x792c46aa, 0x150772c3,
+    0x30e9963c, 0x072392c5, 0xa6946b3d, 0xf48f168c, 0x32e07a61, 0xf9d0cee9, 0x561074b5, 0x352d328b,
+    0x55efe32d, 0x53d4cb75, 0xd79bb008, 0xb3f4b4e2, 0x8f62bc05, 0xb8562bba, 0x6982046e, 0x84ec9126,
+    0x88a69b3b, 0x021c6ae7, 0xbd9d1716, 0x6cab0aa5, 0x38b12917, 0x16e487ea, 0xfa89b7f8, 0xaddd82b0,
+    0x4f9be95d, 0x0cc182a4, 0x03686dcc, 0x33af43f1, 0xb0bd9ca4, 0x50d47d41, 0x626fd041, 0x0ac1918b,
+    0xfab14b7c, 0x548d7c9f, 0xf9c2e046, 0xf3addd74, 0x95b2f9fd, 0x6bc7d874, 0xff219577, 0x86adff2f,
+    0x74217e09, 0xcc223dca, 0x5a656324, 0xc4dccc0a, 0xcc0bc6f7, 0x2b33aaea, 0xc2251f37, 0x2196b06d,
+    0xd99bf444, 0x3fb4c349, 0x3f7a7db6, 0xf44b2ee1, 0xa943511e, 0xb0a0c9e2, 0xb29edfb6, 0xcdaed28f,
+    0x77712465, 0x917b005d, 0x5e035287, 0x28944980, 0x13b03d82, 0xf1b9ce69, 0x31678501, 0xd86ce8ca,
+    0x5f6f1525, 0x6393c4fb, 0x2dea64c9, 0xc7eaf5ab, 0xd5015b5a, 0x7f6b0837, 0x5fa4ba8a, 0xa54c7133,
+    0x3c47fb45, 0x06f68bfd, 0x945b9f42, 0x5d9d7f04, 0x381dcab6, 0x39f65c1f, 0x662382cd, 0xaddc68c0,
+    0x4b738178, 0x5af3ca44, 0xcb0ab5d2, 0x9a116e15, 0x110b21ee, 0x9256dfe9, 0x86adc65e, 0x03327d3e,
+    0x99e434a2, 0x68198c0e, 0x9ff208e8, 0x911ceabb, 0xc57606eb, 0xa81acfaf, 0xb99dc91e, 0xfa2e4e38,
+    0x4c6a0b28, 0x2e6e7c27, 0x34567e7f, 0x07cfaf56, 0x1e46b4dd, 0xc4a606d5, 0xda0f597f, 0x7b826ae9,
+    0x2856cd21, 0x92f08c81, 0x7b05f9a0, 0x777d8ad1, 0x62b34635, 0x93b33434, 0xfb0e0dd9, 0x78c70bd9,
+    0x66441673, 0x56898b3e, 0x08b6bba2, 0xa66195ce, 0xb8be03bd, 0x9e244033, 0xb0cec4a2, 0x7622cd3c,
+    0x8d0e5f07, 0x0aedb7cd, 0x1b081e67, 0x2410dd6b, 0x5bb9f468, 0x91b3c661, 0x8951f9c5, 0x72ea79db,
+    0x6f2ded17, 0xcda9b285, 0xf841dd35, 0x209625ce, 0xf90e00a8, 0x9bf0a6d2, 0xebd750ef, 0x282f9691,
+    0x5833f09e, 0x8b3e2daf, 0x4efbfb92, 0xfbb271ae, 0xe01e5490, 0x41779ef3, 0x2c9ec25e, 0xf6a5931f,
+    0x4a58fd7e, 0xbc9511a5, 0x6b4c3476, 0xd9e49cda, 0x3023cfec, 0x8c6bdd03, 0x3a015634, 0xc18c4566,
+    0x1182e85c, 0x61b8bc12, 0xc064cdde, 0x4ca6b15f, 0xedd770f2, 0x80ee3a76, 0x970fdbe6, 0x3728a3b4,
+    0x4083c94c, 0x1511f4ca, 0x3a9705c9, 0x6b3c263a, 0xe86c1892, 0x81515377, 0x61b431bd, 0x72ad7593,
+    0x02e53e6b, 0x10e3d955, 0xe5c11f71, 0xe3dafb74, 0xd9fc6566, 0x2d08bf70, 0x5fcbe947, 0x36f1da82,
+    0xaab9c809, 0x26642f76, 0x6c5ae1d8, 0xdfd99996, 0xa0e48e0d, 0xdb0482e5, 0xa95a9838, 0x86be15e7,
+    0x9442ba01, 0x73768e84, 0xc29e110e, 0x4b418df3, 0xca7738cb, 0x8aed7021, 0xe3d79431, 0x239353ec,
+    0x080325a9, 0xdce32a50, 0x35aae1a8, 0x675b7831, 0x9e8e7e42, 0xb6f60b6c, 0x5c73ea48, 0x4bbaba98,
+    0x79b47f60, 0x71b30c54, 0x083f19c5, 0x3d48727b, 0x3eb8de51, 0x3fb95361, 0xcc5fdc1a, 0x901cb0d6,
+    0x5e68440c, 0xb3b6eff6, 0x62c20969, 0x8911d878, 0x209f0552, 0xd074ba62, 0x85133ab1, 0x762c4b20,
+    0x70b3a636, 0x3b4cfede, 0xf5ca32ac, 0x1da5f355, 0xbf618dba, 0x0b6613a1, 0x6d28d1c8, 0x5251302d,
+    0x8b82d01d, 0x8a0901b7, 0x1560a099, 0x1e499902, 0x9777ec9a, 0x7299167d, 0xbb57bb01, 0xc61f2a7a,
+    0x29581efc, 0xf7f2d232, 0x014a6208, 0xe4d20af7, 0x5b09b653, 0xbc898ca6, 0xb99f2abf, 0x77a52272,
+    0x755a73da, 0x283c06ad, 0x6e5d4496, 0xfa5c3670, 0xdea9cf20, 0x8dfe23a9, 0x25634bf4, 0xaab27986,
+    0xee0466f2, 0x23bc59cc, 0x3965d278, 0x3cc672e5, 0x66a0edec, 0xdcf98df7, 0xd23b760f, 0xe9525ec1,
+    0x234c4399, 0x0d0070ee, 0x10647ccc, 0x2595ab66, 0xb9ed5b1e, 0xa2c33986, 0x83d2de8e, 0x2e4e5be1,
+    0xbdbdf270, 0xb6257620, 0xf269d5ed, 0xb1e9359e, 0x79eb4587, 0xddef8232, 0xebfcfb8b, 0xe0307b2d,
+    0x4f4d3487, 0xb4b9ec1a, 0x979a641d, 0x0a25861b, 0xa1da84f7, 0x26ad9111, 0x99b30e5f, 0xfc721be2,
+    0x9c8172fe, 0x4ab79c05, 0xf1ebfcf6, 0x20c6e94f, 0x829cfcd9, 0x44510bc5, 0x98523ae0, 0x558b0faa,
+    0xd4109f2e, 0xf9f2b34d, 0x07449e9a, 0xbd6ba569, 0xd4d8d2bc, 0x58642f03, 0x1a992b16, 0x7bf75a84,
+    0x577d6322, 0x79da0100, 0xf1617942, 0x227bc213, 0x701f8823, 0x5687acb8, 0xbeddf020, 0xa163aa06,
+    0x1956fcc5, 0xe4831900, 0xa278c265, 0x0a4f9007, 0xd4c920a8, 0xe9f0ab7a, 0x901384f1, 0x1b00d012,
+    0xd88581b5, 0xf182e888, 0xc156e2de, 0x583ece9c, 0xfe97a2fe, 0x618cfd2f, 0xd35f7225, 0xedfd9179,
+    0x31904baa, 0xdc6769c8, 0xccda1f2d, 0x3eec3563, 0xa5b5f48d, 0x56e2725b, 0x8678fa5d, 0x525c13fe,
+    0x6beadfab, 0x82ce8d99, 0x669619e5, 0xa86b34bc, 0x12ba8cf1, 0xeb61ecf0, 0x8ec3c3e5, 0x231f0feb,
+    0x0c2f2e93, 0xaeb023e7, 0xeed6dba8, 0x32be5a76, 0x76cd3a41, 0xa0a43e1f, 0xbdac5895, 0xd7800497,
+    0x9b27f4e4, 0xd0a29911, 0xe85b5ed2, 0x7edea791, 0x7ee86b06, 0x4a02f911, 0xcefc104c, 0xf9fd6e4e,
+    0x1a59bc9a, 0x48aa706a, 0xafe2bc56, 0x90f99151, 0x6573d866, 0xde6704c5, 0xb2a107cb, 0xddb350e9,
+    0xf6f84bc0, 0xd050bc56, 0xd5769dbc, 0x67d69488, 0x80bbb6b2, 0x8948b480, 0x98e980df, 0x0da55bce,
+    0x3ceac021, 0x21ea1c1a, 0xf90f328e, 0x25857003, 0xb42d809d, 0xf91478e8, 0x77523926, 0x296b35c3,
+    0x96743f03, 0x74064d3d, 0xc0a67dbd, 0x124b7f78, 0xeca18748, 0x0eb8e24e, 0x28cbb156, 0xcd2a6bf3,
+    0x69702e07, 0xb060d55f, 0x6e71abfe, 0x92dda6df, 0x41e6a197, 0x05da8055, 0x2442660f, 0xc961f89b,
+    0xc00dd047, 0x1b80e190, 0x1a791a37, 0xf1c8825b, 0x43a77b72, 0x78b208dd, 0x802c247c, 0xced3c4ea,
+    0x7fd6ba1a, 0xd5e98632, 0xf4ec429c, 0x97437c4b, 0xb242668f, 0x98859376, 0xb63d3fc5, 0x05b47ceb,
+    0x0bfc1999, 0xbe1eccac, 0xde1ec8c0, 0x3709a39f, 0x9a131b2b, 0xc010e176, 0xeb088f36, 0x427929e6,
+    0x08ea288d, 0x8ed24231, 0x413a2413, 0xf57ce86e, 0xa0b0cdef, 0x9fc2ce13, 0x8ab2db56, 0x6ad28be0,
+    0xda452e1a, 0xf8123ee4, 0x3ff27231, 0xa50cbd59, 0xdf35bc59, 0xf830cd66, 0x62562d0a, 0xcb02b717,
+    0xb10d1a36, 0xd5f1e8a8, 0x86fbc18b, 0x300c0e42, 0x42d12ad2, 0xbd2a832b, 0x864de744, 0x8ede152b,
+    0x49ad5daf, 0x5c16a50b, 0xb0fe4f9c, 0x9c8faac4, 0xab56cf87, 0xf1a3ad40, 0xe52f1bb0, 0xbb7e61b1,
+    0x915ec018, 0x95e860b0, 0x4ccf011f, 0xe142d67f, 0x47a27c03, 0x984fb9fe, 0xb63eeb98, 0x85c43e90,
+    0xd9430c55, 0xdba534c2, 0x6d88e6c3, 0x54a3c3bd, 0x10dbca84, 0xc9f1ddaf, 0x5a46deb4, 0xb0b4b1d3,
+    0xeac12ccd, 0xfe5ab594, 0xdc44713e, 0x58c431b8, 0x1207263b, 0xf8469d37, 0x8f60b83b, 0xd1846825,
+    0x80fbd3b3, 0x69136176, 0x10f53904, 0xc268e4ef, 0xf801eb9a, 0xfc5ca170, 0x3da458d4, 0xe02a3999,
+    0x34314a71, 0xc9eced5b, 0x5c38071b, 0x08eb7935, 0x8f34b235, 0x2e15585b, 0x4c7ec3c5, 0x639a73b1,
+    0x930781a7, 0x198af8b2, 0xb7d5426f, 0x3c57af56, 0x83a80db5, 0xc4aeba3c, 0xbd231f4e, 0x0214ef2b,
+    0x566c2b91, 0x9c514ae8, 0xff4f7b99, 0x663c8532, 0xc36519ce, 0x6da0bc36, 0x71cd3ead, 0x61fa9fc9,
+    0x5366a5bb, 0x57c2cfd1, 0x8f6e7a4b, 0x95430f1a, 0x60411c93, 0x96a0612f, 0x3f51b710, 0x9541bc61,
+    0x30a41182, 0x8a7e0390, 0x77d72412, 0xeade2f45, 0x10911dcf, 0x56892cd3, 0x9debd116, 0x21974e0e,
+    0xa16421f2, 0x1d9080e5, 0xb454863e, 0x780cccb3, 0x7d89bbe6, 0xdca740ee, 0x4dbbd50a, 0x762c488a,
+    0x9828b36e, 0xc8de177e, 0x2b3fa3b9, 0xab13a8f7, 0x614cefeb, 0x6bf8dd5d, 0xf3440c2c, 0xd4a5a616,
+    0x3d7595f7, 0xb8d92c7d, 0x5db3fef5, 0x4176c8ad, 0x849cd826, 0x6722ed75, 0x78a370af, 0x5bd3c525,
+    0x6f5ca75b, 0xcbeaf355, 0x857fd171, 0xed1f46dc, 0xafe8f6d4, 0x8d80b6be, 0x044ed772, 0xac0fbf6e,
+    0x6ab5934e, 0xe4ad6b39, 0x285bccc7, 0x402ea265, 0x076e28e4, 0x5b146168, 0x617c6700, 0x1983f65c,
+    0xdd88cd08, 0x93965ffd, 0x840c9dad, 0xb78164b5, 0x362a6690, 0x5308ca84, 0x05ce1944, 0x99b1705d,
+    0x437b8330, 0x1696e6ac, 0xc027f15d, 0xd7c1b880, 0x478c4fa2, 0xf78f4d6d, 0x5aa102ca, 0xe5d66876,
+    0xdf00eef5, 0xf88cff6f, 0xe40637b1, 0xa12c50b1, 0x2cb61456, 0xd0178ebe, 0xa222af58, 0xeb106e34,
+    0x1b48c489, 0x1e452eba, 0xe407b9ab, 0xbabf2cec, 0xccee08b6, 0x53b3c4b4, 0x4fb279f6, 0x7f7b6520,
+    0x01409e71, 0xfad9e6b1, 0xb92ab62b, 0x1826c449, 0x945c082f, 0x843ba874, 0x6208a529, 0xd1ae7c39,
+    0x5333ce63, 0x6ad81734, 0xc59090a8, 0x017fb207, 0x71c21280, 0x84a697da, 0x1debb15b, 0xbc6f67d1,
+    0xea65651e, 0x6f8680b9, 0x1514eb13, 0x548cedb3, 0x689f89cd, 0x51f3ecd6, 0x8c86248e, 0x07895369,
+    0x1a2db7e7, 0xe22ec209, 0x6e7dd07c, 0x2f467605, 0xbf5307e2, 0x11beba5e, 0x3b8916c7, 0xeb025734,
+    0x73243c07, 0x51e26463, 0xac3ab0c3, 0x771b9cc5, 0x621a03b7, 0xd37b4f85, 0x48045f4a, 0xfa7725f1,
+    0x90977b7f, 0x1b05b5e1, 0xd5f2388e, 0xc51a2f83, 0x720f5f5f, 0xf88a98ec, 0x19409daa, 0x49e4050e,
+    0x2b249be1, 0x0d8c6303, 0x2faad6a5, 0x00901d9b, 0x04f79295, 0x2ecab928, 0x184582b0, 0xace4450f,
+    0x432c525a, 0xb27ed6e9, 0x082d8876, 0xdb6d2f02, 0x103bed94, 0x51950c21, 0x3d2c59e5, 0x7094e63c,
+    0x08ef8e6d, 0xe7a178f4, 0xf8bbe8d8, 0xb0080ddc, 0xdde81f02, 0xd71fe793, 0x0c8413e8, 0x43aa5ce8,
+    0x246fc3cd, 0xaef10ec8, 0x6b216bf7, 0xdcd1c384, 0xfd114d9c, 0x6e8ec0f1, 0x4e00139a, 0x421635b1,
+    0xc7de3bbe, 0x10251733, 0x39947e26, 0xe737d902, 0xc93c4597, 0x7f12c697, 0x1768f122, 0xd6bd1d07,
+    0x82bea57c, 0x14335f94, 0x4837788a, 0x06fe1d08, 0xf421d6d4, 0xa7e54d47, 0x688ff130, 0x65762bf4,
+    0xd6f3484b, 0xdd3c27fe, 0xe8448efb, 0x45e012e5, 0xc3bd7d10, 0xaf584168, 0xb0045be1, 0x503c9bed,
+    0x4a27d550, 0x2a0d289e, 0x5104effa, 0x91cfaa83, 0xe406e3ba, 0x51312ee7, 0x71d42a05, 0x44299709,
+    0x73e92b68, 0xab099152, 0x587a0a78, 0x21cbe607, 0xa49d23f5, 0xad0831d6, 0x42266bef, 0x8a2f34e2,
+    0x3854262a, 0xa0aeb04e, 0x2e36d263, 0x6ae0c357, 0x5304def0, 0x6d7b0fdd, 0xe683591b, 0x7ab00e0e,
+    0xbe6d6011, 0x086ac2d9, 0xa7b3d4b5, 0xb44183b3, 0xc60b6833, 0x9a77d8c9, 0xb0fd12f6, 0x861c8d29,
+    0x04f209e7, 0x17625901, 0xf1f3eea4, 0xf6adaea1, 0x3c300efc, 0x64b5e3d5, 0xa2ab120c, 0x278014f1,
+    0x28d708f6, 0xa92e9aa8, 0x69df7df3, 0x5fead448, 0x767f53b8, 0x64ceb239, 0x422883a4, 0xa6225ee4,
+    0xe69bf978, 0xc2d4723f, 0xd67af8d0, 0xd395d070, 0x28de21a2, 0x00ce2110, 0x9c98f7d0, 0x5b417ac3,
+    0x5b1b18c7, 0xec2fe2f1, 0xd9b45a11, 0x21b043da, 0x4e60231c, 0xd5ae2ff2, 0x1ab2c293, 0x157cafd0,
+    0x9bc911c3, 0x2dced7ed, 0x2abe55dd, 0xdf376989, 0x661247b6, 0x37ba4c53, 0x824ca0da, 0x47a2ef00,
+    0xe8c26ad3, 0xa0399523, 0x35c09f2b, 0xe39d8b41, 0x563062c3, 0x552f6c59, 0x2271f930, 0xe8606270,
+    0xb81df5a9, 0xb35f1dfe, 0xd3888c57, 0xeef83bb5, 0x3919dea9, 0x0574329d, 0xd473ad75, 0x3119a187,
+    0x4573af3c, 0x3910bda2, 0xd4446071, 0x3acf35da, 0x5bab74e5, 0x9ec98ff3, 0x20350596, 0x129a2b7f,
+    0x6d43b6d9, 0xa19529ff, 0xaf33fb63, 0x50f8678b, 0x56331e57, 0x669c79f7, 0x69960cd2, 0xba3eb158,
+    0x6073e745, 0xf8c13aad, 0xe5eae7c4, 0x59b3efa7, 0x0933e604, 0xeaa755a0, 0x0db49dfa, 0x9355d43f,
+    0x336fdd8f, 0x7d7bc991, 0x5d33e176, 0x80f27abe, 0x28d7e27a, 0xb7f6384c, 0xed28633e, 0x306774d6,
+    0x13b7ef0e, 0x059b64c0, 0x9e3556e0, 0xd595d377, 0x788a9316, 0xb10692dd, 0x1062333b, 0x0e5805d8,
+    0x4e1882b1, 0xa19383cb, 0x748ad6be, 0xf5244518, 0x02716fb7, 0xcb11a187, 0xf0dade6c, 0x8aca5041,
+    0x17a227b8, 0xc844dbf5, 0xeb3cdd95, 0x42d05553, 0x5456195d, 0x17693837, 0x18667d33, 0xcaf04246,
+    0x55a62687, 0x2c0df9e2, 0x6255cb44, 0x5bbcaf21, 0x11f70184, 0x6572e33e, 0x978f623b, 0x155d3250,
+    0xdeae32f1, 0x2d8cd8f8, 0x7d977cb8, 0xf207f683, 0xe5dfaa82, 0x5d76790c, 0xb50ce324, 0x2d55f2b7,
+    0x4a0207df, 0xc1fd58b4, 0x56f7c511, 0xdd42226d, 0xd9e02cb7, 0x4d6eb3a5, 0xd66f5527, 0x4629814f,
+    0xca8005f8, 0x2ca824cb, 0x1e56efb1, 0xfe3d1bd2, 0x4acc1de3, 0x71b85569, 0x903877f1, 0x4526dd7e,
+    0x189acf78, 0xb1b608e0, 0x7c462507, 0xa8e334c2, 0xe27af21a, 0xe3e4bb3d, 0xdab7426a, 0x32a5e8e5,
+    0x7d6c9097, 0x083d40d6, 0x01099d49, 0xf1fd43ec, 0x15ce8a0e, 0xe5d15fa5, 0x68abd76b, 0x019f3853,
+    0xa50ea581, 0x0f071839, 0xce9b2f5c, 0x20c9f72a, 0x527c40b1, 0x8f4e64f3, 0x5c6cd28b, 0x8cd15569,
+    0x2ef991be, 0x418b7b6b, 0x21571eec, 0x0cf9ff34, 0x1b5aad5f, 0x1c5f6322, 0x7ee8d620, 0xd0926e50,
+    0x0e43728a, 0x2d9c7fe3, 0x470afb72, 0xe346a39d, 0xfb8ad5ce, 0x45d994fa, 0xd27286ef, 0xd607d876,
+    0x19ea2446, 0x7c452e74, 0xacbb94a7, 0xdd96a22a, 0xb5794d76, 0x50d3077b, 0xc272f03e, 0xcadc94ba,
+    0x66a62ea1, 0xd59fb698, 0x4da7ebb3, 0xba7fb572, 0x0841608b, 0xa1b25730, 0x44c16ba7, 0x56b21ab7,
+    0xc3665218, 0x960afab4, 0xff204fb6, 0x8113120a, 0x8b3229c9, 0x206f5e41, 0xb575fc4c, 0x573d82c1,
+    0x1bf541f1, 0xa25c3fae, 0x6c55461e, 0x85ebe91b, 0xedab6c6a, 0x63cad3c5, 0xa6d21e22, 0x39bb9fbc,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000010936253623915059621862\
+                         51113558810682676584715446606218212885303204976499599687961611756588511526912 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924,
+    0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020b, 0x9e167419, 0x943f7a77, 0x547ce8f7,
+    0x00000000,
+    0xbe909416, 0xaa080082, 0x313c85cd, 0x948973ca, 0x082a75e3, 0xba67ff93, 0x27c0d318, 0xea74e7ec,
+    0x9c0ffa69, 0x0b2508e3, 0xd0f4bf53, 0x22b0ecf9, 0xdbfb81f9, 0x87fd8dc8, 0xebc2a108, 0xea293e21,
+    0x63d11ca8, 0x54b481c8, 0xaad00e44, 0xb8c0d3e1, 0x917fee1e, 0x110e0814, 0x0de3564a, 0xfc9c1b91,
+    0xd92a0137, 0x23f6853d, 0xa3f50984, 0xe852affc, 0x1331b1a8, 0xe916aa9d, 0x6c6cc1b9, 0x1ee4fd8c,
+    0xd77f2b0e, 0x0356c4a6, 0xef902e7b, 0x4273ee04, 0xca810cbf, 0x13cc5474, 0xb2369d25, 0x8cf2b6d7,
+    0x5a1bee53, 0xd6394b7b, 0x2de1764e, 0x06bab9de, 0x47213508, 0x869319ce, 0x43c9199a, 0x75b3f381,
+    0xf3a81bfd, 0x60f27d9d, 0x6a1555ba, 0x78f74575, 0x76da30ff, 0x9bae07b3, 0x99d4596d, 0x65bffb8b,
+    0x37b26dcf, 0xd5d6ff88, 0x8c6c6c3a, 0x6264d848, 0x0ebd7c08, 0x713b4e06, 0x6e36bc4f, 0x82351777,
+    0xdb42acce, 0x7df73765, 0xaeec0219, 0x9c4eb1cb, 0x2cfa62d7, 0x7ee77f67, 0x175a01d4, 0xf77500d6,
+    0x7173ca3b, 0xb7ee8db6, 0x58f2d86c, 0x816fc725, 0x6c225238, 0x2de89d3c, 0x93044d4c, 0x957946d8,
+    0xffd17956, 0x0a0e5075, 0x8140b730, 0x9dfb604a, 0xfbcd8d9a, 0xe17f62d5, 0xdd802b89, 0x72536419,
+    0x03f315a0, 0x8655f8c0, 0x6d3466ad, 0xc821451c, 0x75a8722d, 0x74bc832c, 0x3eb0c13f, 0x71535b41,
+    0xfe6dfac1, 0x6bdd533d, 0x13e1b2c0, 0xc3e15739, 0xad5357ad, 0x0d1dadfc, 0x06c06a0c, 0x1268aa84,
+    0x2f649f36, 0x9f20065d, 0xc6c520c5, 0x41629f81, 0xd3c24d5b, 0x04548d56, 0x8145ebad, 0xf05da3a8,
+    0x30a7ced9, 0xe575a521, 0x687af564, 0xebc1ca0c, 0x9977d23a, 0xa16a4538, 0xc174c4fb, 0xfcd7c3f5,
+    0x425c1c2a, 0xc53aa7fd, 0x7547465c, 0xa02721ab, 0x32f893e5, 0x106c3387, 0xb249af0b, 0x104bb21c,
+    0xac8a1f45, 0x94c7096a, 0x50c557b8, 0xcfc52278, 0x7be9006d, 0xdf4a55c8, 0x5812071f, 0xf7efa642,
+    0xf62a5db8, 0xa9b3ca57, 0x79339c7c, 0x21d7353b, 0x35bedc0c, 0x91dfae4f, 0x301f48dd, 0x02c5c289,
+    0xa6de2132, 0xd3c6f803, 0xd5866f58, 0x2187f430, 0xe270bcab, 0x04e1acc1, 0xbfe4efed, 0xc31cfa8c,
+    0x3ceb5d9d, 0x79e06714, 0x7fe295d2, 0x23a198c4, 0x4544957e, 0x8f7ba47a, 0x044911d2, 0x6b21d047,
+    0x7306cb7a, 0x398ca1e0, 0x720b434f, 0x16448e97, 0x2bf805c6, 0xd4bc5339, 0xbfc3debd, 0x64caaa05,
+    0xfffa73d8, 0x0b174065, 0x69d2af6e, 0xbed07821, 0x61f12e32, 0x3a90904e, 0x6e4aa9eb, 0xe2a8ef2f,
+    0xbd3cee67, 0x49bfe7af, 0x75ff9900, 0xb86b7f77, 0x146f3e49, 0xaefa83d4, 0x65fad1ab, 0x0455eb9e,
+    0x4ba246b8, 0x73b9ea42, 0x1f570733, 0xe10f1544, 0x212da3a7, 0x060eaf1a, 0x9c2abe09, 0x24193406,
+    0xf090b085, 0x3ae179dc, 0x5d211121, 0x95b4fa7b, 0x71a421d1, 0x097d39a4, 0x58c7c65f, 0xd18a7fba,
+    0x98358eb9, 0x0b667d25, 0x41ecf62c, 0x4e98f836, 0xd9c3e314, 0x366c9e89, 0x12b03f2a, 0x4f8557b2,
+    0x1340c5b5, 0x613efb45, 0xff3431aa, 0x5b813478, 0x43c5669a, 0x7b120fd8, 0x5992fa11, 0x39102dbb,
+    0x5d1e9a5d, 0xb9709253, 0xe404e948, 0xd3b06fbf, 0x3833e397, 0x27526794, 0x1ea2dea6, 0x447cbb19,
+    0x9789fa7e, 0xfdf33b1b, 0x194162d2, 0x2d52a20a, 0x9010c9a1, 0x797434b8, 0x30f451c5, 0x610dcc0e,
+    0xc1f798ad, 0x335c3027, 0xdfbd7538, 0xf7b3f943, 0xd7ad1643, 0x2b44509a, 0xa3b837fe, 0x4fd89d39,
+    0x0847b74b, 0x08f89dca, 0x87edd78a, 0x1ee8cd21, 0xa2faebfb, 0x1753e0e4, 0x788bdf8a, 0xe8e64203,
+    0xd19dad7e, 0xfd735e19, 0xe2bc446b, 0x4e3f2b6c, 0xc4b5dc8b, 0x0d4a63f0, 0xc79a07f0, 0x6a3010ba,
+    0x8c5097c9, 0x874ec659, 0xf25c5a31, 0x9309cea1, 0x4bdcddf0, 0x80f52e4b, 0x476afa55, 0x4369cded,
+    0x845fc6f7, 0x3aa9ea1c, 0x4ac328f8, 0x82da24fe, 0xb8a1711c, 0x6066084d, 0x07597ec8, 0xad1c3069,
+    0x8002c417, 0x90efdc9c, 0xb26fa49c, 0xa6609c8d, 0xa6fc8d5f, 0x9594c3fd, 0x78f434ac, 0x3b3c4b38,
+    0xf5cb95b8, 0x995c7fe3, 0x50afdca1, 0xbf86d767, 0x151f2ed7, 0x7ac0a84f, 0xf2033c3a, 0xdc99dc39,
+    0x5b4c582e, 0x5610f4b2, 0xf3c332ef, 0x9f5e9c2a, 0x81abdf4f, 0xb393c6f0, 0x9e068359, 0x3f325384,
+    0x3fb49f52, 0x7a4a87c8, 0xddc3d5ba, 0x6e64df9b, 0xc66231b6, 0x07f78e9f, 0xb595b373, 0x7f33bb21,
+    0x771d74d0, 0x4fec5c94, 0x9624a867, 0xf2b5e53a, 0xba2df8f2, 0xd9ea9d52, 0xbaddb07d, 0xd498b809,
+    0x4ccfe35e, 0x409f4f8e, 0x750bb94a, 0x3072e2ce, 0x9a545b70, 0xc1a5a420, 0x0780928f, 0x12d8a97d,
+    0x4caf98c4, 0x956ddfd0, 0xcc9d5dac, 0x0e37f755, 0xd30f769d, 0x6329c509, 0xaee1b051, 0x3d242f02,
+    0x210dac73, 0x29cf185b, 0x22d92e8c, 0x92b4f17a, 0xc90d35f8, 0x2264f868, 0xc23476a0, 0x40394a5b,
+    0x250729d9, 0x0ba07476, 0xbeceea56, 0x748ce4d3, 0xaf5ad4b0, 0x585d581c, 0xe2fc0ea4, 0x47f2365a,
+    0xa16c638a, 0xbcc87790, 0x259c9a50, 0x7f9a21a8, 0xfa3a49e1, 0x4c228355, 0xc78766cd, 0xb07831ab,
+    0x895bff46, 0x0fd29f06, 0x6d742b0f, 0x4fba7f1f, 0x5bb3532f, 0x51358537, 0xb8268d6f, 0xeb809a7e,
+    0xdbee9099, 0x6a058fc8, 0xccb40b19, 0x30ce550c, 0xacf02984, 0x9809f0b6, 0x0332831f, 0xc6419301,
+    0x6537e6a1, 0x214d8048, 0xd2009607, 0xff7ef5eb, 0xe88172db, 0xafeeaaa7, 0x9635e5f4, 0x97fe6e03,
+    0xce72e4bd, 0xb837b4a9, 0xce31f345, 0xa8d35a97, 0xac278b00, 0x91398fc1, 0xf00bba9b, 0xcdcde862,
+    0xfa147855, 0xee03579a, 0x48a4b1e7, 0x83511c61, 0x64cab061, 0xffdac313, 0x301d152d, 0xaed34731,
+    0xd8ea5bff, 0x870ee2be, 0x3e32e659, 0x372c6bf2, 0xc4786840, 0x94c60da7, 0x5951601a, 0x34650614,
+    0x1b3e9c4d, 0x4ae57b0c, 0x1d9642e2, 0x275b108c, 0xc8cca8f7, 0x5a3a05f4, 0x94b289c9, 0xc2199066,
+    0xf0394bd0, 0xf1569ece, 0xe21db981, 0xd17676af, 0x06228e55, 0xa5c3eba6, 0x119fb468, 0x2b106c1f,
+    0xc6185af0, 0x53c7eeea, 0xc07a631f, 0x60dbc6ce, 0x042d8baa, 0xd75961f6, 0xf2b31a42, 0x30158cb1,
+    0xa01d925f, 0x54235726, 0x7e3d4eaf, 0xb649e65d, 0xa9ad6db6, 0xc14215d4, 0xe6da4a24, 0x9d7c0760,
+    0x1c87a27c, 0xfd38866d, 0xb800b9ed, 0x14cac1f8, 0x441a8081, 0xb9c64954, 0x1cd03164, 0xde3681ee,
+    0xdd882a1f, 0x4daeefd8, 0x9dbb1881, 0x4797d33f, 0xa2154ffb, 0xe5d1f24b, 0xfd3646d4, 0xf237eda0,
+    0x61a10b38, 0xd83ef963, 0xc0ab1ea0, 0x68373c38, 0xa4633f53, 0x06c22cf4, 0x375beb64, 0x15291fc3,
+    0x5ec5963e, 0x2589c9e6, 0x41972da2, 0x906cac5f, 0x410e0456, 0x89fb6436, 0xad4baeb3, 0x98913d8d,
+    0x79da2e5f, 0xa143f0c9, 0x50fa29a2, 0xd00e454a, 0xf928ae19, 0x92076a34, 0x853366e8, 0x22ae6e5d,
+    0x4d07e5f5, 0x6b754251, 0x021cba50, 0xdff7b8b5, 0x10abc08e, 0xf96d42c7, 0x792d89cb, 0x4310a307,
+    0x4e896c49, 0x1aa89b2a, 0x5d32ff29, 0x007f36a7, 0x6a9e6711, 0xbed2984b, 0x3f31a1e1, 0x0d07e388,
+    0x8b745bcb, 0x73edf732, 0x2e87edff, 0x242a73ba, 0xbbc1d948, 0x9cbd3422, 0xa45f978c, 0x979dfcf5,
+    0xa593e6dc, 0x90d85580, 0x79721b48, 0xa06ae4ba, 0x4fec6a17, 0x8554b483, 0xe0522aa3, 0xa238f7aa,
+    0x15153a17, 0xca956736, 0x863ac111, 0x7f38e1a6, 0x40d4870c, 0xcabf1270, 0x41bd73f0, 0x52e1e93f,
+    0xbd87ca3e, 0x461050be, 0x0cb8a62e, 0x2eb99ca9, 0x9f8414e4, 0x829408cd, 0x73690996, 0x7ebe3d65,
+    0xc478db00, 0xb12e20a0, 0x4dac79e9, 0x8d54794e, 0x3a082d82, 0x4a98ab8a, 0x3ba34a35, 0x947c72ee,
+    0xae9e7ee8, 0xe371e0f6, 0x0b43aa4d, 0xcf423357, 0xab8f09d0, 0xf6149dac, 0x73138561, 0xd56ef27b,
+    0x36cd9602, 0x94177b37, 0x50171022, 0xa752a3e0, 0xca25fd5e, 0x5715d935, 0x80ce7ebc, 0x6e233e7b,
+    0xeee41cc1, 0x831851e4, 0xbc37544e, 0x82a880f7, 0xb3c81de7, 0x05b634e2, 0xc0af91db, 0xb03c2474,
+    0x25e9c90f, 0xe6f2da41, 0xbdeac121, 0x8d4d95b9, 0x2b365ed7, 0x7ae3ec18, 0x6e6d72c4, 0x36b6ac84,
+    0x9ebf6fe9, 0x77241d8b, 0x34499d9f, 0xe6c1c1a7, 0x84e5291d, 0xb6864b61, 0x05687a04, 0x3bc1232c,
+    0xe892f6ec, 0x5040d874, 0xe5ab4120, 0x0c48bd3b, 0xac5ebdfc, 0x0b0bb422, 0x8f80b21e, 0xc3e832ae,
+    0xb1f692fb, 0x42feb257, 0x77abb804, 0xb4a63214, 0x2296f0af, 0x74fd2acc, 0xa6d67a75, 0x171828bf,
+    0x56065921, 0x8e116e83, 0x523d18dd, 0x95b8d277, 0x6b0f758f, 0x620bea5a, 0xe5bd9e80, 0xa9693da1,
+    0xc4a20060, 0x42ae1321, 0x88039707, 0x08fb1090, 0x129c7830, 0x3d6af083, 0x1a27f100, 0xf3dfbf6e,
+    0xfc48b940, 0x8e3ff557, 0xfd195f49, 0x01e8ca1a, 0x68504b22, 0x04cb3380, 0x66cea69f, 0x4b659f43,
+    0x0e6ff431, 0xcd2cc5aa, 0x4d72b24d, 0xc895cf65, 0xaafff77f, 0xcf8850c6, 0x8d5d73c1, 0x8a5cd091,
+    0xe3b96823, 0x4a27022e, 0xddd9dfee, 0x9bb93412, 0x454b6cb8, 0x639205a0, 0x57d4c024, 0xfb302158,
+    0xe7b7df06, 0xb882f0a9, 0xe65c9b3d, 0xd277d5d7, 0x7ae7c2cc, 0xbea42f09, 0xfdaf12a0, 0xcad9569f,
+    0xbad4b2f1, 0x2f85e2e5, 0xcefdeed3, 0x5a7e211a, 0x967f806f, 0x3466daba, 0x402f4a07, 0x5375de8d,
+    0xbf691faf, 0xcc5216d0, 0x131f98e2, 0x4a48b520, 0x23819eed, 0x0a0c65fa, 0xc7cadaa0, 0xd32b4325,
+    0x25ff9a6f, 0x87fcc9be, 0xe672701e, 0x6268e030, 0x6d4805c7, 0x8eb6b448, 0x2b2354bb, 0x1cc9e025,
+    0x0252d380, 0xfd48cb6d, 0x6d7e9b60, 0x89f1edf1, 0xc7c488d7, 0x41479b76, 0x99f2559d, 0xdc34dc53,
+    0xe16a9f81, 0x91eb4f66, 0xda4a8a70, 0xc0ec9a80, 0x2a156b7a, 0x214d7fd7, 0x653060af, 0xf20d785f,
+    0xd30a496e, 0x7125d6bb, 0x72991f59, 0xa9226fb6, 0x282d16f2, 0xf29e97e4, 0x5243c753, 0x40708154,
+    0xa6846073, 0x5972181d, 0x2d3a8b6d, 0x724c5881, 0x798aab85, 0x6961b4d4, 0x031621a7, 0xb32f8ceb,
+    0x0659c20c, 0xe4843ed0, 0xb3059cc2, 0x87d8248a, 0x8fd4faa9, 0x44eee14f, 0x000a073a, 0xdacc79cb,
+    0xad85848c, 0x7ec1ad0e, 0x70868525, 0x2e956dca, 0x1edd0048, 0xbbfd1fb5, 0xe9cf9c41, 0x5581331b,
+    0x18cd802a, 0x1bf472e4, 0x50f16bce, 0x60ea9020, 0xb520b927, 0x2754a7a9, 0x66adbd31, 0x74fd39b6,
+    0x96e205e9, 0xfdc56239, 0x4dfbe3bb, 0xb679ab3a, 0x2d077683, 0x65dac91c, 0x66053821, 0xbd38b939,
+    0x930ca2f7, 0xd01f155b, 0xb5d20ff3, 0x2adc898e, 0x2a7181e5, 0x548885be, 0xaf0ab36c, 0x7456d001,
+    0xb11ac515, 0x78148ddf, 0xb5cbda1d, 0x6d39d4e0, 0xca0b5619, 0xddfdc1b7, 0x4ff876ae, 0xcbe546b4,
+    0x5e12d131, 0x730806fc, 0x986298cc, 0x8f87c8b0, 0x13c4b1a4, 0x14118479, 0x274270f1, 0xc5a7b83a,
+    0xcd1f88cc, 0x826d179e, 0x16119a5a, 0x9f4db1dd, 0x6412a10a, 0x7ad38940, 0x84a78013, 0x32a7a498,
+    0x9ea93d0a, 0xea5e9ec4, 0x12f7d519, 0x195bb9f2, 0xe63b139f, 0xe7e5cd7e, 0xc9f394d7, 0x26e39298,
+    0xbde63db9, 0xa1089cea, 0xe4c48e3d, 0x36c36b24, 0x2cb02ac7, 0x09860bb0, 0xe5bcd8ee, 0xfb401ab8,
+    0x8f1f5bed, 0x03209829, 0x3e938f09, 0x01a74768, 0xc0c872ac, 0x0c1d6125, 0x78608b46, 0x483c9939,
+    0xd51483bf, 0xcda37e3a, 0x8b46d020, 0x91fdd6a4, 0xfa08e636, 0x8ab2d402, 0x50ac54d9, 0x41fe056d,
+    0x53e0d67d, 0xcc8165c4, 0x22f0cbdf, 0x9fd0c71b, 0x84eba6bc, 0x8ae7b77a, 0x0fd54fab, 0xe2f086db,
+    0xd9437bf0, 0xce48077c, 0x8741b764, 0xcfcd3488, 0x629096c9, 0x67673a4c, 0x79c27a3e, 0xfeb65ee0,
+    0x49b84105, 0xc1a84a1f, 0xe8e30e4b, 0x720d1aef, 0x0bf7f3bf, 0x702d7d35, 0xaab105a3, 0xfb30785f,
+    0x741b32c6, 0x7b5d100a, 0xa454df6b, 0x31272994, 0x0d4e1e17, 0xfc94d412, 0x78bdfdf6, 0xba5b3b25,
+    0xa2265242, 0x5ecf5792, 0x9318633a, 0xdb6cb53d, 0x7c8d7480, 0xe9ddfd7d, 0x528e2938, 0x29b3db31,
+    0x11092b88, 0xadc110db, 0x7a7b6b92, 0xba85626d, 0x8979de9b, 0xb2fc6fc5, 0xb80cb4dd, 0x77be9e78,
+    0x09003072, 0xe2c47e6a, 0x8f9997f2, 0x8da597db, 0x9b47db0f, 0x36340b6b, 0x87d963c9, 0xeca3819f,
+    0xedd24d53, 0x273d63b4, 0x94809465, 0x71b9e5be, 0x4a4261da, 0x972fd84d, 0xbb91263e, 0x82469a7a,
+    0x0d7521a3, 0x22d599f8, 0x71b79f41, 0x11a522fd, 0x86c4ba16, 0x0f4e3257, 0x0fee1a88, 0xf1d06092,
+    0xf9610435, 0x31c1b0a5, 0xb9790c48, 0x7d12dea7, 0x00f1caab, 0x3eaa4266, 0xc43af84f, 0xd96b78d3,
+    0x231fcf4e, 0x9a3c523c, 0x8b822535, 0xc2c072d8, 0xcf060dec, 0x742fd267, 0xb9a602ea, 0x18a54bc5,
+    0xdbebb824, 0xad0d13e9, 0xb745803c, 0x59d1e531, 0x5f96e1dc, 0xe6ae2234, 0xa6378aa9, 0x75b4bace,
+    0xdb692e9b, 0x6026ee5f, 0x95876164, 0x864bfe97, 0x478d60ff, 0x9ce82c73, 0x162ea156, 0x1610aca5,
+    0xabecd3dc, 0x535f7d5b, 0x349a7880, 0x698810d5, 0x482c630b, 0x82d61be0, 0x72c8a554, 0x6c0630d2,
+    0xc8eaa4b0, 0xa89bf561, 0xeed65335, 0x1d489f31, 0xd4ce3ab0, 0x3d43e5bc, 0x30c6255d, 0x6782948c,
+    0xb5b18dde, 0x62b408d0, 0x1d76776d, 0xfc928e4f, 0x1d51cbfa, 0xa6db31eb, 0x3b9c4628, 0x7ce478b7,
+    0xa6e68ea6, 0xcd840a1f, 0x721689aa, 0xf3409007, 0xcee5eae6, 0xc1bfcb3e, 0x9cded170, 0x5adf9175,
+    0x093217e2, 0xb956d377, 0x40b0d8e6, 0xccf0428a, 0x021f93eb, 0x9929857b, 0x212aed95, 0x79c157ef,
+    0xc025227a, 0xaccf3b21, 0x7efd39a5, 0x34fdd7de, 0x15d9c540, 0xef6188a0, 0xc4d5a0d9, 0x907a61ca,
+    0x40381b84, 0xd71817f4, 0x54cd7e12, 0xd816d326, 0x75517695, 0x59d98d08, 0x12c8b125, 0xbd3e93f7,
+    0x380c487f, 0x59c43495, 0x1e0c76ce, 0xe677de2d, 0xc69b2ef5, 0x6e874b01, 0x73dfebe8, 0xc79dd6d3,
+    0xfd545dea, 0xfd455619, 0xead3c111, 0x44e14b5a, 0xf29b429c, 0x698dc8ed, 0xdea8d032, 0x1bf0b012,
+    0xab92a78b, 0xe27e5d86, 0x80ea318f, 0x892164e9, 0xb3ed705e, 0xe440ff51, 0xa76be348, 0xc2436fe8,
+    0xc9511d4b, 0xf39ba8e1, 0x7992b071, 0xb0cded8f, 0x78bec8e4, 0xad503133, 0x2cb6bb2e, 0x376ad77f,
+    0x41ddc895, 0x4b9f1553, 0x0e8a4b67, 0xf0ebaf53, 0xa588b031, 0x9d059f91, 0xbd26ed81, 0x9ddfb15c,
+    0x8f8e7541, 0xfbf8b9c2, 0x16324ab0, 0x27503e2f, 0x1e1f33db, 0x9fbf0d6f, 0x004ad579, 0xbda3b99e,
+    0xe4bef8ef, 0x4c1274e2, 0xf67f05da, 0xf4e62e6f, 0x01b9e41f, 0x1e8df1f4, 0xb9f4e132, 0x9848740a,
+    0x42e79a2e, 0x78c578e3, 0xcfdd4b2a, 0x1924caac, 0x7ac06c5a, 0x47f66298, 0xa0c1c0ea, 0x879a9eed,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000005468126811957529810931\
+                         25556779405341338292357723303109106442651602488249799843980805878294255763456 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92,
+    0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590105, 0xcf0b3a0c, 0xca1fbd3b, 0xaa3e747b,
+    0x00000000,
+    0x9c2e28cc, 0x044358b8, 0xeb837f0c, 0x98421723, 0x0702963c, 0xb3ff4d24, 0x9ca12f9b, 0x914e494a,
+    0x92a12442, 0x41029cff, 0x183f27a0, 0x67ac08ea, 0x70a93e2d, 0xfc77aad0, 0x792947b1, 0x8379bddb,
+    0xe10f97a9, 0x98808431, 0xc0b9cf00, 0x3da157e4, 0xaf88a54e, 0x1a890659, 0x2a2f696b, 0x83fc1072,
+    0x0c6af5a7, 0xcae0a3be, 0x25a1176a, 0x9562b3b5, 0x8afce3b8, 0x06901472, 0xddfc8bcb, 0xa6b6855e,
+    0x76e7549c, 0x2cfdb630, 0x00891077, 0xd15eb40c, 0x25af1e38, 0x87a287a1, 0x86a5532b, 0xaa650fb8,
+    0xe9c99088, 0x88cb701a, 0xdce8c6ce, 0xa872195b, 0x704766c1, 0xd5981eae, 0x545c68b1, 0x39350741,
+    0x8692a96b, 0x80f26183, 0x10504663, 0x56a42649, 0x4affd608, 0xa813efb5, 0x66593289, 0x5d69b979,
+    0xff2b11f3, 0x16cdd6e3, 0xac1388f4, 0xf45e6f59, 0xb175aa9f, 0xc1762e0a, 0x694f569e, 0x8eb342d8,
+    0xc4e1f7e6, 0x6c299ba1, 0xc140095d, 0xc5226ffe, 0x52130b45, 0x09210e13, 0x5530c8bb, 0x7cb5b7ad,
+    0x210e0f80, 0x076cae5b, 0x35ae71c1, 0xa15a8377, 0xd93256a1, 0xfcc708d5, 0xcb63f3a6, 0x78277c13,
+    0xf1d7508d, 0x4833499d, 0xd3693da5, 0xbc06b9ef, 0x4f8c631a, 0xc602269a, 0xf3254166, 0x35919b39,
+    0xc8a34cf6, 0x2ea0e49d, 0x29c4be1d, 0x5ed91560, 0xe3deda54, 0xda63ec5e, 0xd9b9c626, 0xb787bbff,
+    0xaa0668bd, 0x98c168a7, 0xbe9e49f2, 0x4c579d6f, 0x3a5fc7f1, 0xb180950b, 0x691118a8, 0x0b9f2ad2,
+    0xa1540526, 0x4c6a632e, 0x70d4a161, 0x9a9efae7, 0x5cbc0a4f, 0xd21106c2, 0x18980435, 0xe69cca23,
+    0x7a989a73, 0xb66f87ad, 0xb1938d9a, 0x721fc1dc, 0x8df2bd87, 0xfed869f3, 0x7c887959, 0x1af64192,
+    0x8ea3b608, 0xde03d31f, 0x8d2926fd, 0xe1c6453f, 0x6deb923d, 0x561f7705, 0x533b2b78, 0xfe031f39,
+    0x27a3632e, 0x2f915b82, 0x63291397, 0x38536f0d, 0x026604c6, 0x48168278, 0xd6a00051, 0xe38add98,
+    0xb661000c, 0x99042682, 0xe8f48c46, 0x665bdeb6, 0x12b2db5b, 0xf2e0a656, 0x479878b2, 0xf96b28d0,
+    0x5da889d5, 0xcaacd93a, 0xe3dd8939, 0x4214fcfa, 0x625edaed, 0x442190f5, 0x8a9a933c, 0x95b6d479,
+    0x0b57869d, 0xa7e983b3, 0x69eebd09, 0x62f2bbae, 0xa46eb9be, 0x9e185dc0, 0x6defe4e5, 0x937edce6,
+    0xa8eaa96f, 0xf67cde35, 0x0448afda, 0xe92ab11c, 0xbb2117aa, 0xebe852aa, 0x5935cc9a, 0xb91b1d5b,
+    0x904cb8dc, 0xadd837b1, 0x1fd386ac, 0xd87e57b2, 0x4423b27e, 0xa7e0012a, 0xfd488ff2, 0xd0582daa,
+    0x49dc2230, 0x27e751e3, 0xb5f40d47, 0xdfda83df, 0x210adeeb, 0xa432800e, 0x05353bd4, 0x7687a6c0,
+    0x5f60d9c6, 0x95c59e3a, 0x6b028877, 0xda5b761d, 0x1ad7f091, 0x3298c0d3, 0x6808e34f, 0x145acc74,
+    0x56b45154, 0x7f3fc3be, 0x5ac4ce31, 0x1d4918cc, 0x1a8f436f, 0x063ef822, 0xefce7236, 0xd231c2e7,
+    0x3f816101, 0x88c0b650, 0x13a2dfdd, 0x5aeb4771, 0x2593922c, 0x64888b5d, 0x83258706, 0x4c2ec94f,
+    0x91ac12e9, 0xe2de1eaf, 0x3836e677, 0xc2f6357b, 0xf3345e84, 0x0b918d58, 0xe377b570, 0xfe1098b5,
+    0xdaf54051, 0xea418471, 0xd19c2d6c, 0xddb091b2, 0xd84a4036, 0x4b2e12bb, 0xcfe8e4d3, 0xc7644f8b,
+    0x53b39735, 0x8dc8062a, 0xd93831ac, 0xbac75ad4, 0xd34b3f53, 0x0edee5ea, 0x281e0c3b, 0xe95e28db,
+    0xf918746e, 0xf8e46797, 0x1dda9768, 0x87d33ddf, 0x808baa37, 0x07c0af23, 0x3e140e81, 0xbb27b91b,
+    0xc2635e69, 0x5ee94495, 0x49c5c98d, 0x31dab8dc, 0xc2c728b2, 0xca639601, 0x3ddfdb84, 0x7843fe22,
+    0x8f810a1b, 0x5ca535d8, 0x1b171f66, 0x8c1103db, 0xebb1b4e9, 0x7c8e829f, 0x3adefeb0, 0x082795d1,
+    0xda0a33d6, 0x275a5cfa, 0x00745c77, 0xbd70425b, 0x1793b75f, 0x9f950d37, 0x1962dc0b, 0x21ea5964,
+    0xdbbbb7e0, 0x03c14b34, 0x239a5191, 0xe7c8f4dd, 0xc5b99826, 0x6dba27f8, 0xac0ac679, 0x45b32f87,
+    0xa98cd161, 0xb0b4fcd5, 0xfa383775, 0x6ced6e52, 0x281fba64, 0xd56244dd, 0xddcc2d55, 0x786614c9,
+    0x8e1198b2, 0x1dacb4b6, 0xe471e06e, 0xd6d20111, 0x3aefe879, 0x46d1258c, 0x1ecb1bf7, 0x94c7c338,
+    0xc9c097f7, 0xca1e572a, 0x17d20e24, 0x3caa0165, 0x6ef9ae76, 0x89adf58e, 0xc24bd97e, 0xbdacd112,
+    0xb04c3e38, 0xd337fa4f, 0xf2d89ea8, 0x78579184, 0x2df1c24a, 0x383f776b, 0x82341d5a, 0x36773678,
+    0x5e31451b, 0xeb09ac2b, 0x9b8b91ec, 0x343f4339, 0x84d5f6c3, 0x39604aeb, 0xc57b6b7a, 0xd2e7dc6d,
+    0x8215b556, 0x5b61a1ec, 0xd69e67a9, 0xd559dc56, 0x9300c0de, 0x592ca9fc, 0xe475e944, 0xec43afaa,
+    0x1490b494, 0x288101a8, 0x4720f8c8, 0x6909737a, 0xc426cc9a, 0xfb95d190, 0x9212d190, 0xdec9fdc4,
+    0x4af6ba98, 0xf9fa57a7, 0x0fddaccd, 0xe9927ded, 0xeb968121, 0xfbd6be78, 0x9c5716af, 0x02bc7785,
+    0x369ad280, 0xd37f1b76, 0x23d90bbe, 0x4d8b25d9, 0xb9d1ac64, 0x67ae50a2, 0xfe4c5cdc, 0xa87f2a9a,
+    0xd77859c0, 0x6b023039, 0xa3ec1d49, 0xa36fd455, 0xb65b7ed9, 0x7a717930, 0x288f49ca, 0x97604e7e,
+    0xd58e5414, 0xc0124352, 0xdeb9dd2c, 0xab82949a, 0xa67510a6, 0x6ebc3d01, 0xbf686393, 0x317be7c5,
+    0x3afeaca9, 0xff47b0df, 0x52da7d26, 0x3176c8d9, 0x16a7723f, 0x988bb4da, 0x2c796e25, 0x32a12298,
+    0x48682476, 0x3ebff956, 0xcf6d1ef3, 0xab7c9644, 0x84aec08d, 0x4066134f, 0x9c520098, 0x6f9742c8,
+    0xf13092aa, 0xbcd0efc1, 0xcfef66a5, 0x8805637c, 0x360a1304, 0x5d9c2843, 0xd99ac34f, 0x7b98121b,
+    0xe954de07, 0xb8d2ba21, 0xbd8c8dc3, 0xead7603c, 0xe4b8b770, 0x07a7a8d7, 0xe5136a61, 0x68bd71a7,
+    0x1f6a4673, 0xcb559eaa, 0x5f20a4e7, 0xfeb37ad0, 0x1bc686cd, 0xefff8e24, 0xaaa1580a, 0xebe315a0,
+    0x027f27ed, 0x7908f357, 0x2cfe51eb, 0xd5a11ff1, 0xb370cb63, 0x00e725b3, 0x2cbab166, 0x19f62e33,
+    0x134e46b6, 0xd54f7e24, 0x8a4c9c8e, 0xfd8fb889, 0xe722e353, 0xff9603e1, 0x1cdf390c, 0x27393601,
+    0x11d92871, 0x67e10457, 0x142df774, 0x84619da8, 0x492affdd, 0x022a9064, 0x91cdd644, 0x2ecd5eec,
+    0xdb11200b, 0xc7160c88, 0x9bd1f2c8, 0x8b74802b, 0x81369cb3, 0xcee24a76, 0x7fff6336, 0xcd054c34,
+    0x1bfd2229, 0xb381e5a6, 0xe9a54395, 0x7cd3c36f, 0xef939d7c, 0x2c263857, 0x80a87612, 0x34cd8771,
+    0x1686b43e, 0xc5a546fe, 0x1d8000da, 0x20cc89b5, 0x31b5ac44, 0x2d4120a5, 0x4033682c, 0x816ac933,
+    0xe80b209d, 0x3c95ae2f, 0x21749b0e, 0x0413039d, 0x9707a6ee, 0x3fe37cd4, 0xef69a3d9, 0x2e4313a6,
+    0x2b3704bc, 0xad83a08b, 0xe423f0ba, 0x4fdf1a89, 0x6eca14d7, 0x72f0848c, 0xb0d93257, 0x46af62ad,
+    0x36e0fd04, 0x01083725, 0x236ff91f, 0x4476aaa6, 0x32f84cad, 0xaca5b306, 0xa0a8cf3d, 0x1dc721d3,
+    0x8a15a17b, 0xc7bdf9b1, 0xb2210734, 0x08df7e2e, 0xb8fbd65e, 0xf7cd2951, 0x5aed99b2, 0x1b8c8fd3,
+    0x0fdfe563, 0x8e6fb739, 0xc2a088c2, 0x90d4c090, 0x6f8b6a02, 0x1e60584e, 0x489e7e3f, 0xef2918f4,
+    0xa85da642, 0x411f3ef6, 0x6a01f649, 0x969f677a, 0x0bd221f5, 0x80520534, 0xf857b031, 0x6cb89b2e,
+    0xefcf3b5c, 0xa379167f, 0x9b528e91, 0xeb9fe287, 0x41c2db4f, 0x26265eef, 0xa2b4c475, 0x8a169fa3,
+    0x2bfba64c, 0x43af1598, 0x84617c19, 0x43786458, 0xc76b92e1, 0x3694589f, 0x546310e9, 0xd727762a,
+    0xbebca39f, 0x4c714ae0, 0xd6fbc213, 0x6349309d, 0xafbeb195, 0x2ae65bd9, 0x20948499, 0xf0bba6d8,
+    0xd76ce13b, 0xd6ab8557, 0xe248d9eb, 0xd6d09e60, 0x64c1a8da, 0x8c0a7ae3, 0x5de7ea1a, 0xce2c4ea6,
+    0x8685e79c, 0x4955477b, 0x6dea03da, 0xaa419eb7, 0xd07b43c8, 0x13d8c46e, 0xbf7a466e, 0x60041b68,
+    0x4eda259d, 0x161b48cc, 0x30c29451, 0xfac9aee7, 0xa44ac96a, 0xf8da50cc, 0x4aec2921, 0x208c838a,
+    0x62f0d7bc, 0x2e9f501e, 0xe225ba1d, 0x7fe85808, 0x60130ab1, 0x1990f93c, 0x34f14ed2, 0x3cbcb8da,
+    0xe317df9a, 0xf864f376, 0x546ed963, 0x8c2e73a9, 0x7e8aa46a, 0x08d11e89, 0x270e7df9, 0xb94768d1,
+    0x79af1119, 0x8eb3f5c2, 0x07c96b7e, 0x74df7e19, 0xa6b4b5c6, 0x4541b555, 0x55886645, 0x5ad6b0d2,
+    0x6fb2d176, 0x4fb0c298, 0x0cbca833, 0x8afb93b3, 0xa0f43634, 0x19b94be5, 0xfe73c6ba, 0xef40a498,
+    0xbae7a5df, 0xb5683a14, 0x3947c8e9, 0xd56abdde, 0x38879de9, 0x5e06e4a0, 0x4be11369, 0xa89eec63,
+    0x4cb09849, 0x3ee5886b, 0x1c3cde49, 0x9f22d4b5, 0x44eb84f6, 0x415b9084, 0x5f66bd06, 0x46a6855c,
+    0x6cc441f2, 0x31c64375, 0x0d9a51df, 0x1041cc5d, 0xb86557a5, 0x08cc663e, 0x90a5e64d, 0x9472e751,
+    0x031234fc, 0xab2f82a7, 0x5aa78a1a, 0x090c7b4d, 0xb53d037c, 0x60386c04, 0xb230c831, 0xf0357370,
+    0xd5cdc54c, 0xdbfa2919, 0x7bb634d8, 0x82300b0e, 0x920e1ab1, 0x96e17063, 0xf746dd5c, 0x485b801d,
+    0xc560158d, 0x2240aebb, 0x96d85d01, 0x3e7f6ad3, 0x26211e11, 0x3e394e03, 0x95121d65, 0xd3273ba7,
+    0xefecdd76, 0x1464c5d5, 0x0ac76d16, 0x8f01bb5e, 0x76fd7452, 0x693b6ac5, 0x6f71a8a0, 0x83071227,
+    0x3ab29417, 0xf228a5e5, 0x3b20798a, 0x20fc99a0, 0xbee8aa05, 0xa5bcbe93, 0xba8798f4, 0x0d67630b,
+    0x59508121, 0x26ee62eb, 0x41b075f4, 0xedb71a15, 0x998ba934, 0xc61228f4, 0xb6ad4ab5, 0x1256f7ac,
+    0x9382489f, 0xed3acb6c, 0xe23cef36, 0x7629947a, 0xa2c0c95e, 0x165dcb64, 0xafb3fd93, 0x592d641c,
+    0x29d14685, 0xee628672, 0xbfab0192, 0x9058c239, 0x15a040ce, 0xe4d689ec, 0x57aefbd8, 0xb4e701a6,
+    0x978509d3, 0xbc502f02, 0x5b44338a, 0xb781be78, 0x31d63fbf, 0x44007163, 0x295bca14, 0x6f8e9979,
+    0x1f90e584, 0x40855454, 0xd6ee2661, 0x4707f469, 0x88ece64d, 0x09724606, 0x698449ac, 0x828bbc61,
+    0xe7c9622b, 0xa692ccfd, 0x7d05ea9e, 0x715d6cf9, 0x660ccea0, 0x958f24eb, 0xd6df1ee1, 0x02a0c84e,
+    0xbd230fb9, 0x7ccc6514, 0x6ff88f83, 0xc87be73f, 0xe8a0a820, 0x5b60cb39, 0x2d8972bb, 0x65043ddd,
+    0xd9303c8a, 0x263bd708, 0xbc4ac057, 0x0b45c183, 0xfe585088, 0xafb651c5, 0x3b88dcf1, 0x4666bc42,
+    0x89fc2adc, 0x05e74ec5, 0x7022f9bf, 0x89c51e83, 0xc48fe024, 0x1b57dc81, 0x167f55c8, 0x3667816f,
+    0x0c723bf7, 0xd78f79e4, 0xfa14de66, 0x46a54cb5, 0x898fd0be, 0x60a292c2, 0x5ad3b957, 0x12073051,
+    0x8d296cd8, 0x2ff7ce21, 0xf9e0de13, 0x3ec2ed20, 0xdc1cf98a, 0xa4181e38, 0xcb70d7b6, 0x2ff24fd1,
+    0xb477fdeb, 0xaefaa3fe, 0x4a5473c1, 0x129632ae, 0xb57e305f, 0x5e84e547, 0xf16eda45, 0x56df1efc,
+    0xecebc05c, 0x2956546c, 0xe674e82b, 0x341055a6, 0xa5dfa98e, 0xde82dc40, 0xfd878b80, 0xd02ff77f,
+    0xf1c5120b, 0x6684302b, 0xb2804a2c, 0x917b11d2, 0xe6fce3ee, 0xc598fa55, 0x0df8d9d0, 0xe4ebe628,
+    0xee78b936, 0x2d1dbbb7, 0xba7eb486, 0x9b5dbd6a, 0xff489909, 0x0aad7c04, 0x20cfa48d, 0xb15d397e,
+    0xf9665d19, 0xd4f5a7c0, 0x4fee3325, 0x71553ea4, 0x76d7e77d, 0x455afe42, 0x671885fc, 0xbb2f11ea,
+    0x17e0ad5c, 0x55487ce4, 0x84167f7d, 0x2b0380da, 0x9bce3d33, 0x077840a7, 0xfb05d986, 0x17a5028d,
+    0x43052c23, 0xff9d33b5, 0x6c9f9c98, 0xe4b46c98, 0x24a804ac, 0x61f05e96, 0xae926e82, 0x0fcb6653,
+    0xb3da1537, 0x56458b86, 0x5a1aa8a4, 0xf009ea3a, 0x2d993a6c, 0xefe8d938, 0xf1cd6aa8, 0xd93a347d,
+    0x2498c1df, 0x6b8a0594, 0xcd32a830, 0xcb3d0514, 0x2c36a3f3, 0x8d9fe80c, 0x38188677, 0xbbd739bf,
+    0x8537e039, 0x62bd3e8f, 0x6f7402c3, 0xde8e4467, 0xac5dad19, 0x116912bb, 0x0dfdd3fb, 0x95749021,
+    0xf662500e, 0x5fe893fe, 0xb10f8053, 0xc6baecb3, 0x5dc9ca58, 0x08cfc0e5, 0x89984f1b, 0x5a83c551,
+    0x3ec02597, 0xc5f6531d, 0x4139adac, 0x2ee02f3f, 0xd9efe908, 0x74a41a46, 0x6a217d01, 0xa4f956b4,
+    0xa35bfedd, 0x8479ddb9, 0x54ca217f, 0x9ddb3657, 0x5c215611, 0x39a3f5ff, 0xd9d81f5e, 0xbfda2024,
+    0x6c6d15ac, 0x8d15b77e, 0x0750e2e5, 0x57dd0ca1, 0xf4f4e467, 0x06a84ffb, 0xd1c18355, 0x497ea910,
+    0xd5d60ad5, 0x2f81c26f, 0x405fb7fb, 0xe2832fc0, 0xe80ca99e, 0x8b731c17, 0x28df2550, 0xf026cc3c,
+    0xbe76f84a, 0x7dbac0c0, 0x9aa86fe6, 0x5a3f37f6, 0x4104b2d9, 0x24454714, 0x4390ac78, 0x4a91af1f,
+    0xb6992e37, 0xe932360c, 0xb42df6d7, 0xf4fb32d3, 0x0eb6b2fa, 0x53e791db, 0xc9d4b16b, 0xf2ea63c6,
+    0xf1a6d1ba, 0xf95428c9, 0x60f3b9f9, 0xd2c2bf55, 0xa629452d, 0x75159793, 0xbeab959e, 0xeaca26f6,
+    0xebada8ba, 0x183f34a0, 0x54a90e29, 0x3812ef36, 0x0e87f05a, 0x70ecea35, 0x342e11a2, 0x12aa32f9,
+    0x4ce97fce, 0x94fc266e, 0x01e20b60, 0x0c734090, 0x4d6620fb, 0x9d803e83, 0xaea958ac, 0x9bf3bcec,
+    0xa726cdd6, 0xd58d378e, 0x17a64469, 0x37cbbce8, 0x9af2bbd7, 0x2069e488, 0xf01d61fb, 0xf699899a,
+    0xbdd0580b, 0xa86fde10, 0x7781e603, 0xe7cd09b2, 0x01087f86, 0x6ce85071, 0xb766c998, 0x160c8451,
+    0xbed9d6ee, 0x5aba0ca4, 0x5e11368d, 0x9740a801, 0x0c508234, 0xa07e9409, 0xab6c39ff, 0x12d2d4aa,
+    0x3266d930, 0xf574801b, 0x9e580a97, 0x263aff2f, 0xd4ea2f4a, 0x0a6d2c03, 0xa3a70710, 0xa087207e,
+    0xe5747dc7, 0x03ac16d7, 0xf491f5f7, 0x99712361, 0xd1d5d452, 0x3529e681, 0xea5ab9af, 0xf2cc9e62,
+    0xf73bc816, 0x3adbee4f, 0xb793911c, 0xdb0000bd, 0x90909767, 0x2de0b570, 0xb43fd9bf, 0x914e704d,
+    0xe0f8e166, 0x5214b5b8, 0xe9349ce3, 0x2f456840, 0x1f4f73d1, 0xd5e6b422, 0xb6da346a, 0xc6acba33,
+    0xcb39d634, 0x09dac832, 0x5feac757, 0xbabea09e, 0x3f41f5c4, 0x25966ab3, 0x55c6c42e, 0x71b15dd6,
+    0x7afdf7ba, 0xdf201328, 0xdf9cd64b, 0x9cd8a5ab, 0x2096cb7a, 0x105a29f4, 0x7f50f759, 0x7aff8243,
+    0x04e4564d, 0x68a0586b, 0x20324176, 0x8e9eb920, 0xd3662d98, 0x3349cb5f, 0x25f2e358, 0x32374da0,
+    0x2f880b05, 0xf1a16031, 0xbbb13387, 0xf9828252, 0x895b75b0, 0xa9e631c4, 0x7fb42d7b, 0x6c050dd3,
+    0xf8df3ac4, 0x36540c6b, 0x676ab6fe, 0xb5180178, 0x0aabba72, 0x94f9dde7, 0xaaf08c4a, 0xc7350594,
+    0xe77eaaf5, 0xd57bf01d, 0xda5011b7, 0xed0093e4, 0x16af157a, 0x6a9b5856, 0x2c6025c7, 0x55fec05d,
+    0x7924bfb6, 0xd0bbb971, 0x0df211d0, 0xc5463b69, 0xa3f68ad0, 0xb9a0b37c, 0x152525db, 0xe451d80b,
+    0x5ad16e2f, 0xa6314c32, 0xfb37ae45, 0xdc58a413, 0x4bc8b958, 0xd786f2c6, 0x358fd722, 0xdcb67340,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000002734063405978764905465\
+                         62778389702670669146178861651554553221325801244124899921990402939147127881728 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49,
+    0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8082, 0xe7859d06, 0x650fde9d, 0xd51f3a3d,
+    0x00000000,
+    0x8d63cae4, 0x45b29752, 0xef6609e8, 0x1c7d75a7, 0x46baf2e8, 0x83f60948, 0xd81ea879, 0x1cb4ecca,
+    0x854d9e56, 0x50ba213c, 0x00a12f3e, 0x1b1a5132, 0x5dc07e12, 0x1d4a8478, 0xa83a4306, 0x361c2d30,
+    0x416a7d14, 0x242f90f5, 0xda00c7b9, 0xc4d1c6d1, 0xb1159313, 0x8aa73509, 0x3b220d6e, 0x67c57a98,
+    0x12b9ab16, 0x3c2d52d3, 0xa70bf2cb, 0xf44a6b64, 0xb05e9012, 0x56ab07b0, 0x072c8b9e, 0x962040fb,
+    0x6d2ae277, 0x78c10ba6, 0x8843a887, 0xaea8320b, 0x7fb90979, 0xfd28913f, 0x04607744, 0xfd3bac93,
+    0x62a45287, 0x7bda4ca4, 0x868bbefb, 0x7bb93f09, 0xa0b87044, 0xf5b79c6c, 0xf2b54bfd, 0xb4144d43,
+    0xb7f74e8b, 0x30ac28cf, 0x0ad1fe69, 0x0d052665, 0x36af335b, 0xe3847d04, 0xcb7b087d, 0xc40e360f,
+    0xc5796c02, 0x325afe11, 0x1a0cba0e, 0x6f4410aa, 0x7fdd757e, 0x6d5b736e, 0x985a803c, 0x32fd6e4e,
+    0x31b81601, 0x0a9c5036, 0x592a2163, 0xc5af3142, 0x7299b163, 0x4384e7c2, 0xc2ee3a92, 0xcd6df354,
+    0x294539dc, 0x1f8a3d57, 0xb383748f, 0x8096dd7d, 0xcb0925ee, 0x15e82b13, 0x034c7c12, 0x509e8c82,
+    0xe90dd3ea, 0x1db42094, 0xdbd962b9, 0x608becab, 0xa6759eb5, 0xbe093ca0, 0xcff75070, 0x511f7104,
+    0xe7409d48, 0xc23df8ae, 0x18461a09, 0x5dd43b7d, 0x13d521c9, 0x92533553, 0x3bbedb76, 0x7d2c91c8,
+    0x1d1cb589, 0xcefd5ad1, 0x47c03841, 0x62b0907c, 0xf12f3e4e, 0x9afc2316, 0x31f710c1, 0xb8616241,
+    0xac1ad61d, 0xaf46a1f6, 0xdaf5d5eb, 0xcd24db8b, 0x4435315a, 0xd40b0843, 0x4e078506, 0xa7cef646,
+    0xed66cc1a, 0xb3ba12d8, 0x13e1c6be, 0x55d6ef32, 0x9d48060f, 0xf66ed7f0, 0x5cae8a72, 0x59146f65,
+    0xd8f35e60, 0x647e3402, 0xc7e60540, 0x83cadff5, 0x6f9aaa85, 0x9adb976d, 0x0696d06c, 0xbb37f235,
+    0x396d5ab6, 0xfb96e3e3, 0xe09775b9, 0x770f4912, 0x87800f72, 0x23d16b82, 0xfc7f0c02, 0xb6f1b24f,
+    0x7523552c, 0x9c79fe54, 0x967c59df, 0xe753589f, 0x63ae7c98, 0xd2936085, 0xbac3f789, 0x826a1fd4,
+    0x72c5c501, 0xe1d901d2, 0xd550c036, 0xc74c4f36, 0xf29792fb, 0x6519d615, 0xf5685cb0, 0x83afdf79,
+    0x8a31e88c, 0xc2a9fcf9, 0x0d635a63, 0xd857f9b0, 0x5a2bbab0, 0x8ac723d3, 0x07817560, 0x06ba6b6e,
+    0x56500ecc, 0x6eada2c3, 0xe7fd5f5e, 0x2c9c382a, 0xc31eaa6c, 0x0e299105, 0xf2e8a5c5, 0xf60c1c27,
+    0xf18b3cca, 0xa3190eec, 0x84939f13, 0x13d5fe9e, 0x97bd3af3, 0xd84578f3, 0x10377713, 0x250e35f5,
+    0x93006560, 0x4dc2f4fb, 0xa3172059, 0x6ada90e7, 0x962cf4bd, 0xe701ceea, 0xe66b2050, 0xd8f79cca,
+    0x46782b8d, 0x02519a73, 0xdbad07e7, 0xcc63409a, 0x4bade24d, 0x60b1f24c, 0xb9117b5c, 0x7ffcda4e,
+    0x0c3f3801, 0x1da5bb32, 0xa7b948e1, 0x98235f9a, 0x5e939def, 0x766341ca, 0x1e6d66d1, 0x7fad5493,
+    0x10fb9d2c, 0xc7fac720, 0x5fb718a1, 0x36abafad, 0x1f4ef708, 0xd839a3da, 0xa1d22666, 0xaf2a6ab4,
+    0xd0cc9868, 0xf20cc6be, 0xff0fc7b9, 0xc91d0e7d, 0x204798e5, 0x250d61bd, 0x85f35b7f, 0xdc5c0681,
+    0xcb6ed9f2, 0x0cb57acd, 0x6f0fd5c6, 0xa55830ee, 0x72cfb24a, 0xf7fcf96d, 0x73f780c1, 0xf562d477,
+    0xf7d50059, 0x757ae8a8, 0xbe7257b5, 0x368107ee, 0x3a8e3f86, 0xb4a8b27c, 0x165f538c, 0x3af512ec,
+    0xd101c7dc, 0x158bf60e, 0xce13e6e2, 0x66b3a4ae, 0x6baaa2cd, 0x900b91b2, 0xe0cee5f1, 0x6f1137cc,
+    0x9409b225, 0xa3fbfd49, 0xca9b9840, 0xf163d054, 0xf58eeedc, 0xf82de0d1, 0x3a69320c, 0x5fa0fad3,
+    0x54ab930b, 0x79570954, 0xf15d0fed, 0xcbf3ccee, 0xa8cf7f99, 0x02261043, 0xf4d45f34, 0xdad2b9b6,
+    0x96aebc59, 0x111e6fd9, 0xd6d3bac6, 0xa79f416f, 0xe7253003, 0x9655b3a3, 0x182fa9c9, 0xac37898d,
+    0x2ff44f47, 0x4dc3a2c6, 0x89471c14, 0x4b7bd710, 0x4fea1fb6, 0x0cd77b60, 0x5381115d, 0x8c6a6029,
+    0x76fd3098, 0x05551ad6, 0x822d6edd, 0xf30c118f, 0x06df111d, 0xef279cb3, 0xac739046, 0x15edfe0c,
+    0x6c7319b1, 0x27e2222b, 0x8cea9b6a, 0x1382eebe, 0x1f928354, 0x85e6f74d, 0x2deebe75, 0x1789de70,
+    0x4b1d984c, 0x0c29e6ba, 0x15472a7a, 0x06cdae07, 0x0af6d8af, 0xeb3c0248, 0x84a958f7, 0x41d24418,
+    0x5368599a, 0x2ec720ae, 0x7bdc3f60, 0xbce2aebf, 0xe5b2e154, 0x4ea76216, 0x0e6a036c, 0xeb69ef43,
+    0xe6167097, 0xde0a6798, 0x902c5525, 0x3da913e0, 0xd1fea415, 0x8e0a2b4f, 0x95ed3f16, 0x1a49f396,
+    0x44db9e79, 0xd150b9ae, 0x5b47a800, 0xbf1f5e3d, 0x7a44e2ae, 0x702da0b2, 0x815498ef, 0xa7a382e0,
+    0x5aa4a6a6, 0x8c405454, 0x980e6ab7, 0xedec9f93, 0xdf6323f9, 0x2fffe74f, 0xc6ced2fb, 0x3103ec2f,
+    0x9f26c156, 0xbdc438ee, 0x6e4f349a, 0xf216fcf8, 0x45265d18, 0x48ac8ee5, 0x9d13857c, 0xe5121c9c,
+    0x89df685c, 0x3ff1e61b, 0xd26944a1, 0xb74bddfd, 0x513e35fe, 0xceb78939, 0xc7b2c018, 0xf8d35875,
+    0x481d1c28, 0x4d23bcd9, 0x21df12e5, 0x14a786b6, 0x62f50827, 0x5de86d82, 0x686b9204, 0xc2e73820,
+    0xf74502f5, 0xbbe9b7e2, 0x987b2d43, 0xbde6eb4c, 0xeedd3826, 0x6e2a561b, 0xef2bd759, 0x773d5ab0,
+    0x2558043b, 0xb790d115, 0x8f465717, 0x84ca4ba1, 0x4c10a9fb, 0x64173dd0, 0xa1d83779, 0x0879c476,
+    0x67d42ce0, 0xcf8573ed, 0x754741f7, 0xbff74aad, 0x22c19402, 0xb10a6f6c, 0x00a0c831, 0x1195aa6b,
+    0xae36eda5, 0xc1c265b0, 0xa24e79f5, 0x93c06b54, 0x00d4ed76, 0xa09b19f6, 0xddb8c4cd, 0xcbf4860c,
+    0x6c7e0c5a, 0x0c7529a3, 0x54cc8255, 0xfd53b7c0, 0x34477c8a, 0x45f2eeb1, 0xf42d1bb5, 0x4d16fadc,
+    0x959aedc1, 0x44ccb8ab, 0x00afdd09, 0x42315e4a, 0x3bcfed1e, 0xb81feaca, 0x7e1bc2bb, 0x39c6120c,
+    0x5bfda80f, 0x4fe36220, 0x6bb0e6ad, 0x1e9d0ffe, 0xd500d198, 0x1dd9ceb9, 0x067057c4, 0x315cc3ea,
+    0x59a1b32d, 0xaef20c8a, 0x8328fa37, 0x01d48152, 0xa5480632, 0xa2574b4c, 0x3cfcd4c5, 0xb96372fd,
+    0x5aa1eff6, 0x235f476b, 0xf40d487b, 0xb17b789b, 0x7e922539, 0x1f9fecea, 0x1323f2a9, 0x954d8b9e,
+    0xdef1142c, 0x264aff6b, 0x2d82ba23, 0xa3df8407, 0x62e54840, 0x095afd56, 0x3b36d141, 0x4a175c15,
+    0x8593d8d4, 0xac501fbb, 0xb07fca48, 0x9fbc8c4e, 0x8de7debc, 0x120470fd, 0x74833d7f, 0xe8cfa6a6,
+    0x42a81669, 0x8393016e, 0x24a25a9a, 0x2dc93911, 0x75b5c95e, 0x60eb3005, 0x52612de0, 0xd280bbfe,
+    0x144adc77, 0x1eb7cd41, 0x4e5420ae, 0x27d191ff, 0x3e3e1695, 0x1afbff96, 0xd20582eb, 0xaa6dfd31,
+    0x94a5833d, 0xe5e0dfb3, 0xdbaebe11, 0x1c22965a, 0xf72828bc, 0x514a1972, 0xe439c356, 0xf7b958c6,
+    0x8d7affa5, 0x7ab42b37, 0x938953a2, 0x8eaae9f3, 0x0273c5a4, 0xa43bc723, 0x211ddb68, 0xd73fd217,
+    0x12cbc281, 0xe1110ac9, 0xcacd7ed7, 0xc8bbcc21, 0x71e7fd6f, 0xebd8773c, 0xe05174d3, 0x8681ff1b,
+    0x839baf9b, 0x04144cca, 0x4265fd0b, 0x935fd9a9, 0x9e7e56ef, 0xbaf13344, 0x2b0abc9c, 0x3794a1b5,
+    0x331c8724, 0x06a84533, 0x803bf589, 0x2fbebdda, 0x4f9407ff, 0xad56bd93, 0xa2454e86, 0xf77f2d80,
+    0x4ebf1892, 0x1cbacc36, 0xa63cb226, 0x2a54cc1b, 0xb0a46fdf, 0xdb4c88c9, 0xfbbaf8dd, 0x336733b3,
+    0x6a17fdc2, 0x455a05d3, 0x101c9935, 0xab0d8fbe, 0x4a53f932, 0x2124c9c6, 0x36981583, 0x4bdec0b3,
+    0xfc790622, 0x7b5a30f0, 0xa8ceef8d, 0x00d48769, 0xdfc8d857, 0xfe8ad219, 0xeba17727, 0xc35c1681,
+    0xd2a00ad7, 0xb0b941f9, 0xb1dacebe, 0x7733bafd, 0xb3bc3833, 0x6fdfbae4, 0xec9baeb5, 0xa898f25a,
+    0x4cb22a4d, 0xcfdb2b8c, 0xdbe8a456, 0x7d8cdc1e, 0x7758189f, 0x87e469a5, 0xa5fc7b00, 0x19e3d612,
+    0xfb7a0416, 0xabcb0422, 0xc5498944, 0xb5caae29, 0x5fec903f, 0x2ee2ce4e, 0x7c23a1c7, 0xdf880aba,
+    0x74297826, 0x3f6854c3, 0xaea65d5f, 0x0c474fdc, 0xd50304e0, 0x35f62d7f, 0x01a63d33, 0x04e1746f,
+    0x5a353bb3, 0xb99342a4, 0xe7465411, 0xa17eb457, 0xe76a94a2, 0x0171381c, 0x287e825e, 0xd11c9539,
+    0x8b55f5ad, 0xdcafa506, 0x5452a80e, 0x5b88211d, 0xcc997914, 0xffdca902, 0x29027804, 0x0a9cb370,
+    0x393935c3, 0x6125385f, 0xcfba42e8, 0xce26388b, 0x1bf30c6c, 0x44f78da9, 0xd966d1c1, 0xf21ae9de,
+    0x9fd97364, 0xab19a8b6, 0x3b1c7f4f, 0x0512ba34, 0xb103dee9, 0xcbdebde3, 0x17e58067, 0xee08796f,
+    0x3997878b, 0xf96ba516, 0xa376a45b, 0xc4897e88, 0xf2133c87, 0x499192b2, 0xe1d1c0ef, 0xe4e6b0d2,
+    0xd88dc49a, 0x89decf2c, 0x3af417f5, 0x31fde693, 0x23dc4891, 0x809e4f15, 0xb7c93318, 0x379a8afa,
+    0x8320057e, 0x220b03b3, 0xadd2ea25, 0xb4490623, 0x74fa052b, 0x8ac68513, 0xcceb1f2c, 0x2bbba427,
+    0x7a4e7786, 0x6e0720ed, 0x3345d088, 0x7c9fc45e, 0xb525fd35, 0xdbbb74bb, 0x6afe2ae0, 0xa566147c,
+    0x9323a54f, 0x12b5cdc6, 0x5167679f, 0xeb7a5484, 0xe2436177, 0xce1fa5b9, 0x7d32c9cf, 0xa681dae3,
+    0x77dd4915, 0xd8847217, 0x24603ec0, 0xb6800be3, 0x93187d0e, 0xf6b8dfbf, 0x3d385d06, 0xc733bb09,
+    0x90520b18, 0x5636e7b8, 0xd43a587f, 0xe5e3a9f0, 0xe4c0a315, 0x9f1f11cf, 0xe653d8a6, 0x27489262,
+    0x62c07225, 0x3db7b895, 0xedb82fd7, 0xe11dad72, 0x4661396a, 0x907ef805, 0x3da7f7df, 0x46fada60,
+    0xf8d0ff4a, 0x6d676a54, 0xa10ca49a, 0xd1ef8cae, 0xa718e0dd, 0x4fe836da, 0x0f7703c2, 0x29bc0709,
+    0xd0265f89, 0xaaca6b89, 0xb6f4570a, 0x13426672, 0xa92d4f0e, 0x49b5343e, 0x5a6ac924, 0x162e1212,
+    0xd108bb5a, 0xd0a570ff, 0xf89d51f5, 0xd5101d1a, 0x3722619b, 0x730ff526, 0xed3c23d2, 0x2e5b7fef,
+    0xfff93fcb, 0xf199e158, 0x3f39e286, 0x385f3033, 0x9977a395, 0x1d88cc33, 0x8bed0260, 0x62732172,
+    0x30b7f9f2, 0x1577f3ea, 0x0cdb1626, 0x79ba3c21, 0xbf8d0033, 0xb85114d9, 0xffaf68af, 0xe3b3c1e9,
+    0xe180dada, 0xf25abf63, 0x01f6f5ab, 0x1b5ee265, 0x29b44688, 0xbdf5cd3c, 0xe7f0c49d, 0x8ab0cd62,
+    0x71b32036, 0x302b92ca, 0x9b93d7ef, 0x3c23ef67, 0xe027e49d, 0xf220d6d4, 0x42bca890, 0x40382b10,
+    0x0d84d444, 0xe75f5e4c, 0x2ba55f48, 0x5916026a, 0x1a12ba6b, 0xa88f98e1, 0xa634eb7d, 0x27bf4d18,
+    0x4200efdf, 0xc980f5e6, 0x20d1cf78, 0x1b09f704, 0xd38fcffa, 0x2a936449, 0x07fcfe13, 0x8f4d09c8,
+    0xf988aa26, 0xf3c4e254, 0xa9f8d572, 0x03ea3e7f, 0x00a5f2f1, 0xb0cf8df6, 0x2cae3ada, 0x8b7ce656,
+    0x3fe02a6a, 0x2da6d5f3, 0x6031549e, 0x29dde511, 0x3cb86eac, 0x2d12dfb7, 0xa3b0867d, 0xa78f9419,
+    0xe63b92a1, 0xfbe1fadf, 0xe0dc4cd8, 0x5a78b703, 0x80e0e6ba, 0x2c338a48, 0xda059274, 0xb3506690,
+    0xa32d83a9, 0x54833266, 0x6fd21797, 0x944bff18, 0x881d4c1d, 0xf8450cdc, 0x13d01c1d, 0x9c8a980c,
+    0xace295bc, 0xa6722ada, 0x53100f19, 0x74bf9b6d, 0xeba7f34c, 0xf0793905, 0x8e521fb6, 0x879925a7,
+    0xda44bcc7, 0x0e896cef, 0xb3992555, 0xf49be14f, 0xc38a96fe, 0x1bcb2b7e, 0x5dd5e026, 0x677e1ddc,
+    0xc9464cb7, 0x01eaaed6, 0xa816d31c, 0xed0209a6, 0x3588f689, 0xcd2396ba, 0x45bf7e6f, 0xcffdf91a,
+    0xd08b4d03, 0xc96a398e, 0xeeed0dfa, 0x5bca8794, 0x1a644def, 0xc939076c, 0xc1cb3b59, 0xbc732878,
+    0x61c1a97f, 0x6d2a8bd6, 0xdf8fd935, 0x3f19d627, 0x8ee78f7e, 0xef9dadcc, 0x8c580ca8, 0x94d1ea34,
+    0xbec8161d, 0xb5949849, 0xc9f77c52, 0xdfffafea, 0x90f0873e, 0x638491f3, 0x4ce6e76f, 0x7562dbff,
+    0xff70f802, 0xefcfee1d, 0x88cf446a, 0x70f001e3, 0x95a3224b, 0x938ac3d2, 0xf2254e37, 0x5df3e286,
+    0x8c62ebe1, 0x07783619, 0x5d3d9959, 0x5e860eb2, 0xa87b49ba, 0x37d5f2da, 0x56f82173, 0xc70a1c64,
+    0x7a99eeec, 0xf084ddc4, 0x35307274, 0xac251124, 0x905caf20, 0x2451f067, 0xc0e57817, 0x74b1f530,
+    0xeffbea71, 0xd417d70d, 0xafdd95d6, 0xe9779d74, 0x39289453, 0xfa65b67b, 0xdc00c702, 0x3db91318,
+    0x4540f2a7, 0x60e65ee3, 0x9afbd22a, 0x047c52a5, 0x151b27b7, 0x6d379ccc, 0xd9ff1383, 0x68ebf4f2,
+    0x764da531, 0xfa5f5214, 0x83be91a5, 0x268b8e71, 0xa17069dc, 0x9910efbc, 0xbbd9ce82, 0x60331069,
+    0x8aa7a759, 0x20e28bf9, 0xd25efde3, 0xd10a5ea8, 0x75091d48, 0x1139189c, 0xdec5132c, 0xfe3965fc,
+    0xc5419b31, 0xa4ffd063, 0x183c2b51, 0x37be7e82, 0x12028df6, 0x66df82ad, 0x846c1f26, 0x78a794ad,
+    0xee1d8c1e, 0x98db2042, 0x26baefcf, 0x83f47f03, 0xef1d80a2, 0xd66a03fa, 0x65001cac, 0x0baf2e90,
+    0x94cd1c31, 0x12ec310a, 0xd2f1defe, 0x77cc39a2, 0xca7d9f96, 0x526207ae, 0xb219ff9a, 0x000c4926,
+    0x99e39323, 0xa81d9688, 0x48663e9f, 0xb7426a14, 0x6794f0c1, 0x0251bcf7, 0x56a5ce6a, 0x8eed85a5,
+    0xae210486, 0x1fae11e0, 0x3e69d08b, 0xedac3077, 0x2b5e23d0, 0xb338387e, 0x8bf31b2e, 0xf0cb87a1,
+    0x6d8be5b1, 0x4296636c, 0x48db7e34, 0x17cab20e, 0x66a546a8, 0x5f712401, 0xa3b069e7, 0x7c71764f,
+    0x07fad008, 0xb60f2577, 0xd249e66b, 0x71053ac8, 0x78d88787, 0x37612d50, 0xbe68313f, 0x692252ef,
+    0x2ba6a98f, 0x4ad72028, 0x95c983c3, 0x403e708b, 0x5820cda8, 0x9ccd90c2, 0xeef3ce7f, 0xa48dd395,
+    0x92117abd, 0x76a1fbbf, 0x6d0c9703, 0xdf137f64, 0x98808f7a, 0x1410efd5, 0xd463be42, 0x08c1d61f,
+    0x4ff66d89, 0x30ea8054, 0xe17e8a46, 0x6b1ba13d, 0x2fe63f51, 0x607b796d, 0xa6d19244, 0x165165db,
+    0x2ba919b1, 0x51b450a2, 0x9fa3410f, 0xf5754d8d, 0xe0e28db5, 0xf1997b1c, 0x4c9244c5, 0xb801bcde,
+    0x954befe0, 0xc093135d, 0x3518ce0c, 0x700a5f73, 0xe5aab3d1, 0xe368b833, 0x50083908, 0x8869cf5b,
+    0x7a4b5615, 0x461d793c, 0x977d63b7, 0x19310173, 0xab787012, 0xf04b9c7f, 0x0199f057, 0xbf4f8b23,
+    0xa9472f74, 0xd79c28b3, 0x1e771b42, 0xd7026cc7, 0xb55cfba7, 0x372ac5bc, 0xfde8e5ed, 0x40bbd49c,
+    0xc6c55546, 0x42faa460, 0x10b9f7b9, 0x6434d712, 0x144354c0, 0x6f372caf, 0xf0ffda07, 0x93024b88,
+    0x9eba20f9, 0xb7bd2d00, 0x69df2e6c, 0xe3f12869, 0x7b6e653e, 0x8aabd544, 0x5e87bd76, 0xdfda45e0,
+    0x431e52a2, 0xf7964b0d, 0xd550aa7a, 0xa9afad9e, 0xac7e6051, 0x91271720, 0xa890febb, 0xc39776f4,
+    0x0bbf7ae3, 0x1c6b9f76, 0x949538f1, 0x21e00fa2, 0xe3d49d38, 0x278bf783, 0x0ab89bc0, 0xb8678591,
+    0x68bfcf52, 0xa898b7bd, 0xd427e1ed, 0x9641c6f9, 0xf5bd8b3d, 0x105dc16e, 0xd6e1af1f, 0x62d3d252,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000001367031702989382452732\
+                         81389194851335334573089430825777276610662900622062449960995201469573563940864 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24,
+    0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564041, 0x73c2ce83, 0x3287ef4e, 0xea8f9d1e,
+    0x00000000,
+    0x868746a6, 0xbabfbdd1, 0xd979d218, 0xe84cf68b, 0x552b9dd9, 0x76fc593a, 0x54fc4ea5, 0x95328d4b,
+    0x6c6fd3e9, 0x93809b2b, 0x5d4d0d1c, 0x1ba7aa3f, 0xd229f454, 0xff7c02fd, 0x22104067, 0x336ae7e7,
+    0xd10a7b50, 0xd56f55aa, 0x7b88a5f4, 0x80a4cacf, 0x74814e61, 0xae56cdcf, 0xf2a8bf8a, 0x8d4b0e2a,
+    0x26d3e21b, 0x9f81d57c, 0xe7735230, 0x65d19954, 0x8d606eba, 0x09eff181, 0xc0d1e688, 0xc12e64af,
+    0x243dd46d, 0x6662e031, 0x5a85cc0e, 0xff6c8eec, 0x36999ca9, 0xa9a63db8, 0xffc913b2, 0xeeb34426,
+    0x19e09d46, 0xd3806bfe, 0x35105a8d, 0xcae8733c, 0xe6a73b3d, 0x6afa3e0b, 0x6b6688eb, 0x7fa005a9,
+    0x755f8128, 0xe7497950, 0xf3aaa9fd, 0x4e52f823, 0x25fb6173, 0x4a31de28, 0x381b2433, 0xccc124d2,
+    0x6954e11e, 0xac78e023, 0x9d8582f5, 0xae57e609, 0x24b731dc, 0x2792f7eb, 0x359111f9, 0x92944a6c,
+    0x2d03f33c, 0x75caff2a, 0xbd1fd4bd, 0xd78a4f42, 0x9c8e3c1d, 0xf8fe24ed, 0x47472663, 0x81da3dfb,
+    0x705ec6b1, 0x4823365e, 0x45189e5f, 0x50777c77, 0x02d5b100, 0xb596d744, 0x7cef34cc, 0x0ae63be0,
+    0xaa96f42d, 0x6babd168, 0x9db4f78e, 0xea8e0011, 0x01d1d26f, 0xefc657b5, 0x4f2fe52e, 0x6b781461,
+    0xc9bf780b, 0x087c66d7, 0xea5bf966, 0x8a77aaf2, 0x019cee81, 0x94a7216c, 0x1d5d6cde, 0x12cc7fe0,
+    0x833671aa, 0xd36c1f1a, 0xea97acb3, 0x64f8a715, 0xb45aa568, 0x84583418, 0xc702a7e6, 0x416f8065,
+    0x5940fa1e, 0xc37fb9a3, 0xfbb46db4, 0x3d339af2, 0x2f008f8a, 0x3db76d9e, 0x1696e785, 0x8541dd84,
+    0x9383fb7c, 0x150e575c, 0xd7f39270, 0x4a4e7cb7, 0xf3de8440, 0xbd4f2b76, 0xae06d0c7, 0x633caa17,
+    0x39835a62, 0x668f6362, 0x69bec9cc, 0x400d8815, 0x1887502f, 0xe9c6df79, 0xcc0f7253, 0x51be15de,
+    0x3b82c5a4, 0x5651009a, 0xb28e4471, 0x1ea679a3, 0xc8b850fd, 0x7d54af4b, 0x53784137, 0x2fec4bdd,
+    0xc9236197, 0x4ed7b61c, 0x2c5e1f3f, 0xc391bc2f, 0x0936718a, 0x941710d1, 0xd63fe37c, 0xad0bf90a,
+    0x55c951b4, 0xd673502a, 0x8c5d3383, 0xd1d6a6e0, 0xfed83cc9, 0x44257f85, 0x911a5010, 0x6696af13,
+    0xf2bd350f, 0xbb4f4da7, 0x8739f223, 0x992459f8, 0xd5e0732d, 0xd0877372, 0xae1dd117, 0x39f6334e,
+    0xfb46f681, 0x0a5783ce, 0x3bdbeaed, 0xfa07444e, 0x9df656be, 0xbbcbeddd, 0x8f2d8b3b, 0xe5d86496,
+    0xcc57aaa8, 0x6d6a2d9d, 0xe0646641, 0x90fe6d78, 0x2f508b31, 0x762d5f88, 0x3fde88b5, 0x55d3d84d,
+    0x2c774c8d, 0x5f648d5a, 0x08a6ef24, 0xdf1710ab, 0x4fe424d4, 0xaffded0c, 0xf516ebfb, 0x63a48f6c,
+    0x277e3d7f, 0x8ee7d4a2, 0x1dc4c667, 0xc7e25128, 0xb985d826, 0x3132c035, 0x3b09c3c8, 0xe0ef765f,
+    0xbf202770, 0xc4c18253, 0xd06b3925, 0x9da936db, 0xd7c1ae3f, 0x88852cb1, 0x222154b5, 0xecf5fcd2,
+    0x577bdc93, 0xdeeb0018, 0x356bbd45, 0x0403899c, 0x1da98931, 0x5e2d8f81, 0xe33f6abc, 0x8271f509,
+    0xf67fcf54, 0xd2d2758f, 0xac2842ca, 0xe958a83a, 0xdedf6464, 0xd5893c0f, 0x38c4125c, 0xd57506c8,
+    0x497ae93f, 0x20d40511, 0x59573402, 0xd868f5f5, 0x15bdd1fb, 0xcff49356, 0xbe42ab63, 0xba3b1d02,
+    0x0dbb23a9, 0xb6593afc, 0x7777758c, 0xe678fa72, 0x208237a6, 0x0fe2baba, 0x1b65e253, 0x91c76072,
+    0xdae05c10, 0xbcfd503f, 0xccd925fe, 0x1c790b19, 0x41ddfae5, 0x249f9da0, 0x655501cd, 0x99eab98e,
+    0x7dfb297f, 0x0a13fb74, 0x3199926f, 0x67d1cd2d, 0x11354b98, 0xcd0c7bef, 0x1d1d258a, 0x089a4cb1,
+    0xdb047a61, 0x3916fc66, 0x6d16876c, 0xe8ff1442, 0x21c03518, 0x81729e97, 0x30b95468, 0x2f47ac46,
+    0xe7dc4355, 0x0c1669a2, 0xc4395f9d, 0x5394fe25, 0xa2326771, 0x3f17b2a9, 0x0bf8241f, 0x0acd185a,
+    0x8088849e, 0x5c8943b8, 0x39c250e7, 0x29c26c89, 0x0369383b, 0xf0bab0cb, 0x289ab703, 0xd3429f86,
+    0x04ecfa8b, 0x8c3c5604, 0x7e345179, 0xc52e0080, 0x4fd78fee, 0x138e3eec, 0x58c47fb1, 0x03770093,
+    0x85b26537, 0xc01c1176, 0x06057df2, 0x9da8bbd8, 0x0112bb6a, 0x4949392c, 0x21150303, 0xcd532bee,
+    0x10139c28, 0x4d2c0218, 0x1642d99e, 0x60f15fef, 0xf641ae01, 0x8840a00b, 0xbffa5509, 0x8c71098e,
+    0xefd7ea02, 0xf1fe01aa, 0x299aab85, 0x8dd1044d, 0x17ffc59c, 0x04733816, 0x3ccef0bd, 0x3fcca32b,
+    0xd420ae94, 0xfdd98b7a, 0xf50e0700, 0x76dfcf25, 0x6d85d8d2, 0x85be3ed5, 0xee447545, 0xd341bd08,
+    0x356f555b, 0x7a1b479e, 0xf19a3e2d, 0x9f06a728, 0x3069798c, 0x641aeb50, 0xdb4c6218, 0x52d11ac3,
+    0x5f7cfa8a, 0xf22597f4, 0x0784eaa8, 0xf00d4f5d, 0x764e61a6, 0x0df9d547, 0xa7f1292c, 0xdc4e9fbf,
+    0x081e2dde, 0xd7b33b3b, 0x5eb06e29, 0x62030154, 0x61a24397, 0x28c4fd0b, 0x76569ecd, 0x4f983361,
+    0xe36941cd, 0x923fe372, 0xdcd94126, 0x907c274d, 0x5595f277, 0x33f41b51, 0xecdfb532, 0x899f4b6f,
+    0x8a75ff96, 0x6b78d4fa, 0x937f155b, 0x0c6f2b2c, 0xc02581a4, 0xb504bf53, 0xbeab5465, 0x2782d484,
+    0xd0166daf, 0x6bed97f4, 0xcdb5cd07, 0x56763f5c, 0xdba5f754, 0x220178f0, 0x31a087f2, 0xe7d741a8,
+    0xbd85b784, 0xfdda9826, 0x6c24378d, 0x3c0ee48c, 0x790d93c5, 0x63e65e4f, 0xf99e5960, 0xaf45d4d3,
+    0x3b86fa3b, 0x92361234, 0xc6427d70, 0xffc7e4f9, 0x3365b0f0, 0x1dc56710, 0x43708e8a, 0x19351d5e,
+    0x709f9c17, 0xc071c393, 0x8a4b155e, 0x36203587, 0x32db983c, 0xb66dc419, 0x41a6fc5f, 0x12dca342,
+    0x8a0709f9, 0xdc12bc04, 0xb3ba5ee5, 0x6d090d64, 0x353176ef, 0x5647b741, 0x366decff, 0xd5cea278,
+    0xcc0d2e4a, 0x86d43d83, 0x8213d28a, 0x6929a595, 0xd2830d0b, 0x1fae2882, 0x72a8fbf1, 0xd9c74884,
+    0xc20247b2, 0x40243980, 0x5c330f76, 0xd9494609, 0x1be5c347, 0xb250be53, 0x606916f1, 0x17189c37,
+    0x10bdb19c, 0x9ed7fdd3, 0x48d86427, 0x00eef996, 0xb1466fa7, 0x72de0e24, 0xeb4b3cde, 0x4943c0ec,
+    0x9a8e15b0, 0x7629bf60, 0x92b1e473, 0x97ff0888, 0xff463c29, 0x7abfd540, 0x6045af1c, 0xbb68ec5a,
+    0x87d4420f, 0x2d21d952, 0x9b7b80b4, 0x0c898765, 0x6a0b13f5, 0xb9cc6636, 0x2cd2ac10, 0x9595c1ce,
+    0xbed9f9cb, 0x5d6a3668, 0x1de12516, 0xc8ef08ff, 0xe8fb9015, 0x41094556, 0x20befb21, 0xf5f9fbf0,
+    0xc28e8252, 0x3456e075, 0xf068096c, 0xf6557238, 0xa1b63bb7, 0x3b5a6020, 0xe7729c1a, 0xd2c95c80,
+    0x40db1483, 0xfe5df37d, 0x6e3186e7, 0xf5a39f92, 0x48b2d50f, 0x420f3b4e, 0x43ef70de, 0xaf5e5d8e,
+    0x08ca8e48, 0x6b117b4c, 0xb94d6ce2, 0xddbc1bdd, 0xd5233465, 0x7784bbb1, 0x5e1e9460, 0x9dc6af22,
+    0x84656373, 0x3fa7d139, 0x65a5cb08, 0x112be365, 0xf5aafe5a, 0xa6a72ac9, 0x204cfee7, 0x6d84fa7c,
+    0x65877752, 0x8415b62e, 0xbd6f0c7c, 0x458d45ca, 0x09ec63cc, 0x9a8487bf, 0xdd080f6e, 0xc8092015,
+    0x4cd2f016, 0x2f264fb7, 0x0136db2b, 0x410cdba7, 0x3356848d, 0xc69b4397, 0xf9d80d2b, 0xf852ad71,
+    0x4b8a677c, 0x88ef270b, 0x0eb98829, 0x9fde74fa, 0xfdc0664f, 0x97006bb1, 0xfbd0be52, 0xc2ac6c8d,
+    0x65ed2cdc, 0x7ee66e90, 0x01989510, 0x4deefdfa, 0xc9881f89, 0x8b7d5a7f, 0x3db730ab, 0x34d3e182,
+    0xe0abba93, 0x5db52eb6, 0x0c740bdf, 0x74df077b, 0xc86d9d10, 0x0cf78539, 0xa76f4bac, 0xbbf24b07,
+    0x471c415c, 0x0b4bbaaf, 0xab4f7267, 0xffcee337, 0xba7b9935, 0xea24baea, 0x2c06fc59, 0xec6566bd,
+    0x048655dc, 0xab1a01d7, 0xe4bd1cc3, 0x2d90aa3b, 0x25673a6f, 0xf46053b8, 0xa2b12b4e, 0x896d390d,
+    0x44a4c8a9, 0x7c08da8e, 0xd47bafb7, 0xc00680b1, 0xf920a120, 0xcf550635, 0x1c4fa149, 0x8aa35e98,
+    0xbcbdcb0a, 0xcd40a761, 0x7a307fb2, 0x99809953, 0x49464bf6, 0x9450fcf8, 0xbb00af45, 0x3559d481,
+    0x9bf42af2, 0xa466873b, 0x111d5026, 0x66f99e51, 0x6a24ed54, 0x184e4c88, 0x41d8b0c1, 0x214bb5a8,
+    0x4221af03, 0xe137b378, 0x35891140, 0x7a1c1207, 0x90d246ca, 0x0add5444, 0x30acc763, 0xc4a64de7,
+    0x96a55c34, 0x28c0f1b5, 0xcccddbbc, 0x02cf3ef8, 0x2bdd04ab, 0x03f58bd0, 0x15171aff, 0xa2463bf5,
+    0xdcf613c0, 0xe09d2d81, 0x1b505369, 0x1ff7e821, 0x91355d5d, 0x940d92fa, 0x171c1c9d, 0xfab77bee,
+    0x19f9a3e1, 0x701fe1ac, 0x563be7df, 0x7327f110, 0x97fbcaa8, 0x05e754b3, 0x96bee093, 0x5a30c7a2,
+    0x80bcfcd2, 0x10dc7927, 0x7ee8bc51, 0x4d2233bf, 0xd70627f5, 0x461cf2c7, 0xd140325d, 0xb801807e,
+    0xf9fba2de, 0x50e0d995, 0x9e27f20b, 0xc4a87e23, 0xec45f1f4, 0x392d0ccd, 0xef930366, 0xa591f277,
+    0xaebae93c, 0xe1140d7e, 0x75757366, 0x0034532c, 0xcfa48ffe, 0xe3784e1a, 0xd0b22247, 0x02d9c2fd,
+    0x9d0bfbfe, 0x62442fb8, 0x1163b64e, 0xc48716a5, 0x8adb3c7d, 0x098f6b0d, 0x8f33bd29, 0x2f5f981b,
+    0x72fb162a, 0x8c31be81, 0x3c41773b, 0x0ce14a2b, 0xb21f4664, 0xbad41cd9, 0x07df7b81, 0x729a60a0,
+    0xf43657ec, 0xe543be1a, 0x0137cbe0, 0x9293cbbd, 0xcca8bb42, 0x3a1dca72, 0xd92877ed, 0xaa372a8c,
+    0x66bb62bd, 0xc1483cfe, 0x13c00ce9, 0x7f3ca6e9, 0xdad0de9e, 0x823e32fd, 0x4cf24c96, 0x44cf16f8,
+    0xada82e8a, 0xde87204a, 0x89595047, 0xf7065739, 0xbd7c30a5, 0xd51951f8, 0x854d7e7f, 0x89020b58,
+    0x78bb5809, 0x7b8070a7, 0x0567aaee, 0xeb6ad5d2, 0xaadf36f6, 0x3313e087, 0x1f7fd696, 0x6f92cc85,
+    0x1a21e0ba, 0x7947d534, 0x6ecf67fd, 0xa699e735, 0xf6024b4b, 0x669281da, 0xacbebe2e, 0x81f4319e,
+    0xb2faba82, 0x8d4a23bf, 0x3a96ea16, 0x0672f440, 0x9169f42d, 0xdb4e1dd5, 0x322e6de8, 0x250ff045,
+    0xd3ea619f, 0x26be333d, 0xb982cd7e, 0x684bb965, 0x8b3edfcd, 0xfb535c36, 0x11cafd40, 0xb709ab9a,
+    0x01cf524f, 0xe8dc05ee, 0x2945ab42, 0x3ce0db74, 0xc10bce21, 0x2d6b9756, 0x5ef72b26, 0xb8020818,
+    0x26b33d07, 0x2b69db06, 0x691795e7, 0x6a93a9a4, 0xb4b550ee, 0x71d5e36f, 0x2a2634f8, 0xb060cd37,
+    0xfb4c00ee, 0x50f717c4, 0x1c48ad26, 0x33310334, 0x5223282d, 0xf566956f, 0x340e7201, 0x5c12cc47,
+    0xc030a828, 0x1a57302e, 0xd9062b06, 0xffb63131, 0x94de38bb, 0xabbd70ad, 0xc8661401, 0x1b80b427,
+    0x2d7b7b0a, 0x7415e8b3, 0x95d07abb, 0x7adb8a12, 0x4444e363, 0x41e6790a, 0x6fab7e1a, 0x94e65493,
+    0x91570698, 0x47b610a6, 0xc3a826fe, 0x401ba183, 0x6c1d1354, 0xe1c5be32, 0x55b1d1a8, 0x472a024c,
+    0x86d0e1a7, 0x771d7085, 0x0035f77a, 0xc578af09, 0x8b37e31a, 0x882e127b, 0xa4b48922, 0x1049bfe1,
+    0x1e330cea, 0x565b571d, 0xe804c244, 0x3b6533c8, 0x900610d8, 0xc1ef2920, 0x659df7e0, 0xff0111a0,
+    0xb19979b7, 0xc0cf605a, 0x869d7a33, 0x32ee8b88, 0xeca88a93, 0x8c5d52d8, 0xf6a1fbc0, 0xde7c6889,
+    0x0065caf8, 0x844ee73e, 0xc7631a5b, 0xc8c3cb5c, 0x2de92a98, 0x530e5bb7, 0xbe09b13b, 0xd3056f59,
+    0x82756e74, 0x66ca5ceb, 0xa208c77a, 0xc6221bdb, 0x5378a407, 0x826e9b3e, 0x1aac0112, 0x98930044,
+    0x27a81ef9, 0x12dcb147, 0xe2e6d51f, 0xd5e7f241, 0x4c36d272, 0xc1a55f03, 0xf5b184ad, 0x1451f9aa,
+    0x0a3f900c, 0x12feacdc, 0xea557be9, 0x984d4b5d, 0xddf5394d, 0x7fbf91ca, 0xa741dfb8, 0xbfd6b3ea,
+    0x30e24b59, 0x0c617f15, 0xec7307cd, 0x275a23ca, 0x6b92bb17, 0xb081c3b8, 0x347b5d12, 0x03bbbef6,
+    0x78fc2224, 0x53654d26, 0x19b30754, 0xdc310066, 0x1504c0bf, 0x8139a04b, 0xb1ece260, 0x4d89c690,
+    0x236340c4, 0xd765147b, 0x0b55db40, 0xbaed9c56, 0x153e738d, 0x30fe37fb, 0x262c1ec8, 0x54937250,
+    0x260088a8, 0x84d2f391, 0x0f40ec8c, 0x74ca83e6, 0x348bf082, 0x04d73da4, 0x06f48d75, 0xab640709,
+    0x1a1c66f2, 0x54a34787, 0xc942d2d1, 0xbb0299c0, 0x72e6c4b8, 0x53e0cef4, 0x1fe6d180, 0x82a6d911,
+    0xcf2c55c6, 0x81b90abf, 0xa2212863, 0x616365d7, 0xeea7feda, 0x0ec0c579, 0xdde0a2c6, 0x1326b14e,
+    0x641c0aa4, 0x65c653ff, 0xa031d7ee, 0x3fd9d2da, 0x0fabecb4, 0x77e36216, 0x2ec54827, 0x58cb7dba,
+    0x8adca4d6, 0x6e55d823, 0xf2e4530b, 0x54995a68, 0xaa31b3b6, 0xd317eafb, 0x864cc937, 0x31370b9a,
+    0x2fff2f9e, 0x0e002be8, 0x50beac7c, 0x5c458242, 0xe878b71e, 0x73c48fd0, 0x416415bc, 0x7530930d,
+    0xe418218c, 0xe4808924, 0x711b3e64, 0xd4c860d2, 0xd9464013, 0x721616de, 0xf1dd0e29, 0x3bb0a2c9,
+    0x03faa3f7, 0xf3d080cf, 0xb6c341fb, 0x744f83bd, 0x73fe1f14, 0x1caf6522, 0xfe4ca59b, 0x7ff2e123,
+    0x39d60470, 0x6baf2f73, 0xa67a89bc, 0x77d61dc7, 0xcfcb8d1e, 0x0a30fe40, 0x8d6eb585, 0xb4c11d74,
+    0xf8fb7b29, 0x495f4dc5, 0x0a21b7cc, 0x42fa86ef, 0x5371b27b, 0x013bd443, 0xcbcbe6ce, 0x5cbef0e3,
+    0xaba77218, 0xe9e5f338, 0x4732da09, 0xf4b4ea53, 0x2566f8a6, 0x930983a4, 0x31233bcf, 0xd21f3780,
+    0x9b0baf06, 0x468ddd62, 0x7c0b3c0f, 0x9e3184c3, 0xb8a13868, 0x30ff1393, 0x06113ccd, 0xe42b96cf,
+    0x51be118d, 0x6e15bb6d, 0x2dae0de6, 0xe726ad62, 0xdd3da317, 0x2ef0e5bb, 0xee5298b7, 0x1b066b10,
+    0x3c9b0f22, 0xe7e074e8, 0xb155cad4, 0x2fedc93a, 0xd4ab0262, 0xef2b4e55, 0x07efb1a5, 0xfb2fc0df,
+    0xd792f537, 0xb6c3407b, 0xf06a4f96, 0xe84d14ca, 0x512b2099, 0xcfea3ba7, 0xed0daa2a, 0x5795cc97,
+    0xb092ddda, 0xdd060529, 0x4f75fb75, 0xfb3be297, 0x242b7d91, 0x02f95abc, 0x1d0794f8, 0xe2e0719c,
+    0x4d403af4, 0x962bc5da, 0xa7608e17, 0xa176aa0e, 0xa1dd7d4d, 0x4b53b15c, 0xc6958205, 0x3f848ca3,
+    0x5d85043e, 0x16bd46b7, 0xbeb24d24, 0x31969e57, 0x5b869eff, 0xb0479917, 0xe25b08a9, 0x85506617,
+    0x32a07e77, 0xab759d85, 0xf615a03d, 0x126f0177, 0xe30b3fe7, 0xa8d613cd, 0xf1ad5f68, 0xd7782d45,
+    0xf0913201, 0x20e2d68e, 0x092094dd, 0x1cec3fef, 0x03df451a, 0xc48020a5, 0x7402ea9b, 0x9e4e2ec6,
+    0xf809899d, 0x8134cfd0, 0x4f769ca7, 0x62236e79, 0xce73db7b, 0xc3ca3c36, 0x38cddc53, 0xfae58ddb,
+    0xe34c39a4, 0xf1abf301, 0x04c0dbc4, 0x95f367b3, 0xe0be1036, 0x749c3160, 0x3e0f4ee8, 0x13309e19,
+    0x751b4818, 0x669af796, 0x232c6964, 0x44037f5f, 0xf974f53b, 0x151128d2, 0xa933ba06, 0x8f538201,
+    0xab6e67ed, 0xaa662d29, 0x34a11e9c, 0x9ea20ce1, 0x6e9b04a1, 0x6cbbc13f, 0x08caeda4, 0xf5fcc0d7,
+    0x418de40b, 0xf3176893, 0x56c4196e, 0x2ad6b1ee, 0x0fb86967, 0x3dacb422, 0xa5dd5d17, 0x4cfdfaf4,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000683515851494691226366\
+                         40694597425667667286544715412888638305331450311031224980497600734786781970432 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92,
+    0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab2020, 0xb9e16741, 0x9943f7a7, 0x7547ce8e,
+    0x00000000,
+    0xb9940644, 0xd46b20db, 0x89a2d1fe, 0x1a9b3fcc, 0xfca201cf, 0x8c930287, 0x2ecfaf9c, 0xa74ad313,
+    0x782b5de5, 0x8a8046fd, 0x3fe666c4, 0x9c347ccb, 0x6285ee21, 0x5a32d821, 0xe0e1f3ac, 0xfaa191e2,
+    0x7d4f5962, 0xe9c642f5, 0x4328c4b7, 0x72ecce9b, 0x19d171bf, 0x18ca2128, 0x29bfa321, 0x2ab1c3cf,
+    0xe13d5b17, 0x7fd8539b, 0x4a9c6e60, 0x8f080c7d, 0x7073f63a, 0xe8acc54c, 0x8f4f5f07, 0xe6cc9ae8,
+    0xfe3770b8, 0x7c381d3d, 0xbdcc98ac, 0x342b18b7, 0xc3817f60, 0x28d86a86, 0x22e1e7a2, 0x9a556b87,
+    0x1feb3a7d, 0x624425b9, 0xff9ab0d5, 0xb7b89e16, 0x8e37f329, 0x70be4f48, 0x636bb93e, 0xf1d2257e,
+    0x491c23d9, 0x8f89128b, 0xfcf75f51, 0x3f1117ca, 0x6a556e91, 0x42b54ccc, 0x4aa17b93, 0x4b55fa3a,
+    0x3a5e34df, 0x8a3a1bb8, 0xf298bcf7, 0x0540a22f, 0x8aa78d01, 0x2f142b8b, 0x8288d632, 0x4b51d4ae,
+    0x0dea1a64, 0x6d6b3da6, 0x6f566b0a, 0x96ae73cd, 0x57843913, 0x1c086879, 0x2e86b0fe, 0x2ec9c427,
+    0x8299061d, 0x57b4d09f, 0x625f2818, 0xfacf81e9, 0x7f40b9cd, 0x3247061f, 0xa1e33e5e, 0x8d6f04fe,
+    0x7bedc835, 0x16e30f7d, 0xe09ed824, 0x23604966, 0xeaf090fa, 0x485f2aa1, 0x1749829e, 0x56b3fceb,
+    0x0be83044, 0xbc4ba459, 0xfbbed204, 0x60fc2c9e, 0x4fe01eec, 0xd420b21d, 0x90754c15, 0xbe390d4c,
+    0xa0f489da, 0xd32fe871, 0xe1b4c342, 0x4e1a8a45, 0x3d6bc646, 0x4c093c52, 0xdc83be5a, 0x38c315fa,
+    0x9f3e9ab3, 0x549abc7c, 0x151204c8, 0x99a9fbe4, 0x421356c8, 0xaaf5fcd4, 0x6ceef0d5, 0x24a518a3,
+    0x06797dfe, 0x960b41a9, 0x76503a98, 0x8e6e86f3, 0x908e06b4, 0xcb009250, 0x9ef83e1f, 0xa6d692f1,
+    0xb70bb2a5, 0xf3a15a48, 0x91067a94, 0x49fb9443, 0x79ae0f6f, 0x88c0ec2f, 0x5d2cffc3, 0x33a95874,
+    0xc61cb620, 0x2a35538d, 0x74936574, 0xee12957e, 0x742ee9ae, 0xa350be8b, 0x587e55d5, 0x97992ed2,
+    0xa3d309ad, 0xdae710a1, 0xe0920611, 0x1d079802, 0x74580a4f, 0x0e91d39f, 0xf045c783, 0x8055bcd5,
+    0xab3aabd5, 0xcd8fb9f5, 0xfbfb7f6d, 0x175d4fc8, 0xfb2fe836, 0xffe6bff3, 0xd49f1526, 0xadca632f,
+    0xe55318e3, 0xb2e5700b, 0x333842da, 0xdcf097f9, 0x96299e8b, 0x7947bd71, 0xd192eda5, 0x34ededfc,
+    0x73c9c0ab, 0x96e47afc, 0x66695650, 0xd602e200, 0x79949692, 0x520cd5c4, 0x03977ca5, 0xdce6d149,
+    0xfc93dd07, 0x38b28ea8, 0xc3ef2725, 0xb6864e8b, 0xc0c686d2, 0xc347f3ae, 0x45d36e70, 0x33cb5c3b,
+    0x4177aaba, 0xd60b813e, 0xb76c6b9c, 0x6e326e01, 0xfa018811, 0xe44e51ef, 0x7f3b1c3b, 0x58f2a080,
+    0x0cb05d34, 0x1ed0ce64, 0x1f9e4270, 0xe0880a75, 0x760b3d6a, 0x2212c28d, 0xef83008a, 0xb00b283d,
+    0x6ccab236, 0x99c59483, 0x2325cd5d, 0xab7faceb, 0x0118a605, 0x254065ff, 0xb68f1a80, 0x8fe57bbe,
+    0x7e80c24a, 0x2b9f15ff, 0x97c308c4, 0xa422db65, 0x2a29337f, 0x9b5e70d5, 0x7681bfaf, 0x9b05293f,
+    0x989eebe1, 0xa0d10fe0, 0x3be495fa, 0x4b1b9663, 0x451dc5e1, 0x0f5e6870, 0x8218b39d, 0x4a41a881,
+    0xc387f1bc, 0x0ca2a2e9, 0x4bd301f4, 0x4c6117b4, 0x981227d4, 0xa6fffd2d, 0xe8b4be1a, 0xd1fc8005,
+    0xb996d747, 0x7e92ecf7, 0xc73bf50f, 0x20bb52f9, 0x8b383ba3, 0x902c1e45, 0xfcd170c0, 0xd5cd83b3,
+    0x363abc75, 0x624b1d73, 0x3890bfba, 0xfc0af527, 0x11e39927, 0x27a8394f, 0x1623a378, 0xbe217de5,
+    0x7ad567a2, 0xbe6ef8e7, 0xa505a0e3, 0x0f5ef549, 0x1abc364c, 0x4f6e69bd, 0x95db765a, 0x84a49248,
+    0xb15e2604, 0x6337ef0c, 0x7137cf0e, 0xd2ea5fcc, 0xb1ed5912, 0x66e3b360, 0xd139d2bc, 0x14b3573d,
+    0xab336db0, 0x108cca00, 0xdeb87b96, 0x8a190d3e, 0x84957e9f, 0x0e9266d3, 0x9de64277, 0xcaba6580,
+    0xde00b111, 0x2eb2967f, 0xfc22a418, 0xb0dc14ef, 0xb8da43ff, 0xb9aeb834, 0x8eba996f, 0x8308b9b0,
+    0xb018d4d8, 0x51611151, 0x9ba9de14, 0xeca5cbc4, 0xf20ac27c, 0x8d48cb64, 0x30283d24, 0x299e7b46,
+    0x3a5aeee1, 0xfed6e001, 0xefb13a19, 0x5638afc7, 0x7d8e63d0, 0x4e98e735, 0x2e9dd938, 0x8c2a5dc1,
+    0x72959511, 0x87501a06, 0xc7e103f2, 0xe2fd0f85, 0x8d8e46cb, 0xd2408bb8, 0x420f0cc0, 0xa3d829c2,
+    0x5e9d2d2e, 0xaa334f2e, 0xfdac1694, 0xd3eec44e, 0x3c63a7bd, 0x9ec2c5ca, 0x78515349, 0xd07223a9,
+    0x728145d0, 0xf36e8f7b, 0x16b73218, 0xe413b3d6, 0xdb086800, 0xec5449ea, 0x6bee3176, 0x1507c046,
+    0x39860480, 0x43131be5, 0x03670f3c, 0x4eda63fc, 0x5727ed32, 0x6267c558, 0xa318f59d, 0x5ccc1815,
+    0x78b13c2b, 0x5babd4b5, 0x12ee4082, 0xec6ac5a6, 0x1763104e, 0x8ade43e2, 0x1435fbae, 0x20e422b5,
+    0xf9d87ab1, 0x2dc7e73a, 0x9c66c5d7, 0xd3997262, 0x5cbe81d2, 0x65b0b7bd, 0xec9e0875, 0xe3e200f0,
+    0xd19da168, 0xc14ac1f2, 0xfd74b8fd, 0x5800605e, 0xb92a8a41, 0xd449319b, 0x7b357b44, 0xcc91b0db,
+    0x43721092, 0x2a2e1af6, 0x970639a5, 0x0e1c9615, 0x81877c2d, 0x853170f1, 0xae748b59, 0x739f4c04,
+    0xb7f139dc, 0x77c1b2f7, 0x35f1f385, 0xe0d60a52, 0xdfa47aab, 0xfa3b1b9f, 0x0308c982, 0xc7c303e2,
+    0x3bb2a349, 0xf9ab6ab5, 0x3c21d47f, 0xee94875e, 0x89933de8, 0x9b2641d8, 0x84533846, 0x12e5ec87,
+    0x317a81df, 0x8fc92cad, 0x2f5cd290, 0x7926b89d, 0x82d94295, 0xe33ec857, 0xe3c66bb4, 0xf23c804a,
+    0xe8bf4cae, 0x7fff7ada, 0x08d3ad2c, 0x0e8f4f7d, 0xf9b7aa58, 0xc5a01682, 0x421bae34, 0x1c059e80,
+    0x2843f617, 0xa206bdf6, 0xe2a2dfda, 0xe9220e0b, 0x6a7167bb, 0x665b7833, 0x448e2d95, 0x023ac00c,
+    0x8fe4d9cf, 0x0ed1dd34, 0x00dee172, 0x9b6751f4, 0xf554b792, 0x397eee5d, 0x62adbf10, 0x70a6d111,
+    0x0f2e5a2b, 0x0eec3459, 0x70cf165e, 0x418451a8, 0xf1625d4a, 0xaa0443ae, 0xe05dcdb5, 0x2eca9714,
+    0x7a7b1018, 0xd689508c, 0x87682056, 0x25c65568, 0xbb41c590, 0x280ca711, 0x7f863ecb, 0xc7421482,
+    0xe845be3b, 0x9afc0d9b, 0x85b71f85, 0x195ed83c, 0xc543102d, 0xa2b198cb, 0x77ea1525, 0xeb97e7c8,
+    0x6b926451, 0x40001930, 0xf48f262d, 0x95995adb, 0x8a3ab21d, 0x975593c6, 0x763a74e9, 0x7e3a33a4,
+    0x92517c9f, 0xc8762bd0, 0xcaa664ab, 0x8e1b0686, 0x7149c05c, 0x907a917c, 0x43e9769d, 0xd107129b,
+    0x2b80a323, 0xed6f84dd, 0x9fb7ad9f, 0x570db25d, 0x5ed67add, 0x0184f13e, 0xb3d2ffe6, 0xe6d5d306,
+    0x406ace62, 0xc0e6a9d1, 0x9e7d9ff9, 0xde59cefa, 0x8f61ef87, 0x6da6ab09, 0x66a2fca5, 0xeeb4f516,
+    0x9646e3c0, 0xec950788, 0x92d8af5d, 0xd8f22ed8, 0xf1ff7c4d, 0xb3aa5d7a, 0xdcde0b76, 0xa85d9e42,
+    0x48e3f109, 0x91e87c78, 0x59b9e840, 0x821be0af, 0x33cf59a8, 0xa25af385, 0xce277fe8, 0x0a61234a,
+    0x96dd4ecc, 0x3afb9912, 0xfa3f9bed, 0x573c5684, 0xf3197914, 0x0a4eae95, 0xd63f3cbf, 0xb7ceabf4,
+    0xec1c8478, 0xdef9e9d0, 0x8a8bac8a, 0x829ed8b3, 0x343227a7, 0x814f8ab9, 0xb30b8cd2, 0x7ccd8565,
+    0xab2cf16c, 0x93749b2d, 0x94cd7bfc, 0x3f3eeada, 0xd92a0f5c, 0xe8e5ea19, 0x67c14a02, 0x0f93a4d6,
+    0x72cebf10, 0x6408e9ff, 0xf5f66e24, 0x2952e5a5, 0x101ccb8a, 0x7b7d9c4b, 0x5f03f16f, 0xbf3e9784,
+    0x2d4a0535, 0x5353360c, 0xce858f5f, 0x6c123a26, 0x0245c693, 0x22e0e726, 0x2bd1ecf6, 0xc789c5c2,
+    0xc474906b, 0x43396b46, 0xa2929158, 0x54d01f36, 0xa2968b02, 0x5b4ba8c3, 0x6e02aad0, 0xe4d7d458,
+    0x4b301a7b, 0xebba8d6f, 0xff26b29b, 0x8427b80c, 0x056474b8, 0xc5d87b3c, 0x4967d443, 0x538e1d0a,
+    0xae0ea9b5, 0xe738bbb2, 0xe6e93b6a, 0xff9a493e, 0x7522c4be, 0xaee01c68, 0xb3c2c76c, 0x9806a71e,
+    0x5b454719, 0x1431cf50, 0xeeca6cf2, 0x99dab024, 0xac7e225a, 0xf7ffdadb, 0xedfa2e9b, 0xef41c569,
+    0xec07d9db, 0xebe30990, 0xe28412cf, 0xe78aff63, 0xe301ab8d, 0xbfc9ee3e, 0x4151a8f3, 0xab7a1afb,
+    0xa1060984, 0xe637f70f, 0xf58c1047, 0xfcbedfe7, 0xc2ba1952, 0x11f869f2, 0x11fa6ba6, 0x6df42249,
+    0x35a3154d, 0x746b187b, 0x443b8ce9, 0x85a33e3a, 0xb5afcf55, 0x9a02457a, 0x70e6c160, 0x6ad5c57a,
+    0x7c960a67, 0xbb93353f, 0xc959aa19, 0xfd8d3b3e, 0xa8e51e3d, 0x72ddb810, 0x86aeb64f, 0xe83cfee4,
+    0xfa3d1b5a, 0x4a602025, 0x4e710264, 0x6e63e7a3, 0x60283fd2, 0xad5e996a, 0x77cdfbd3, 0x59ef4bc9,
+    0x23bad573, 0x22306ae6, 0x71ab3c75, 0x22bd4f54, 0xfd7939da, 0xdcd103d0, 0xd4f4d4e8, 0xc1a64a3a,
+    0x8f4c176e, 0xebdee886, 0x1fb35292, 0xf61274d6, 0xbca3f47a, 0x743be714, 0x86f51820, 0x6ea52db6,
+    0x03e3c1a0, 0x3b5350f3, 0x4c5760b1, 0x16e1e0c2, 0xc0049d19, 0x141fea44, 0xb8549f37, 0x7c0ccf2f,
+    0x956bb577, 0x2274b095, 0xbfb9109a, 0x88487a00, 0xedd3d34d, 0x7136787d, 0xde951b78, 0x6eacf402,
+    0x1fcca390, 0x4721a71d, 0x7d5e74a2, 0x400cc174, 0x6cd47f53, 0xef6f2273, 0x886a58af, 0xfec26999,
+    0xad3d789b, 0x754ab79a, 0x45e0c7a9, 0xbeacc8cd, 0x012deb9c, 0xedbd21a2, 0x99a7c102, 0x57515d08,
+    0xe129a3f3, 0x7703e798, 0x95fff35e, 0xa571d1af, 0x2c73c738, 0x36da5543, 0x231a7ebe, 0xa1a1dce8,
+    0xa118b7fb, 0x858992ac, 0x7150cc7a, 0x974f8720, 0x6459bc9a, 0x58d4cba9, 0x2a7b745a, 0x07523e71,
+    0xed5de624, 0x3694c5fe, 0xdcfa34c7, 0xa0e53d86, 0xaeee065c, 0xacca6690, 0xe04ab5b0, 0xe3bb2790,
+    0xe08fbb67, 0x5cada3b4, 0x33033737, 0x4c45f43e, 0xea0ad668, 0x42d06017, 0x15414833, 0xc814a599,
+    0xe6dea17b, 0xf522238c, 0xe7ed98fb, 0x48d46f24, 0x3a4b6851, 0x01be7fad, 0xf3609ae5, 0x5d0961a1,
+    0x6338e6f6, 0x69b461d9, 0x138c51bb, 0x261f0755, 0xae60e887, 0xc2baa2a4, 0xfbc54429, 0x4978e007,
+    0x6220178b, 0x9d319f79, 0x2b03f4d8, 0xcfefc541, 0x13223440, 0x24e33d8b, 0xd65b7f01, 0x92569269,
+    0x536b2fc3, 0xcbc60c59, 0x77631ddd, 0xf9692b67, 0xb24d35a2, 0xc40b6e43, 0x7158a047, 0xd7006799,
+    0x4ad3d3f0, 0x1d844739, 0x1716416a, 0xc603686d, 0xf4ec6682, 0xe7e04fa4, 0x39f1c0da, 0x2ebaf183,
+    0x16268ac0, 0x0bab292c, 0x7efebd66, 0xdaee819b, 0xfb96f2d1, 0xe71c31e7, 0x85364f3e, 0xa0645842,
+    0x7b7f3581, 0xf363f7c9, 0x9e24f43d, 0xb3fc5f79, 0xc3f93dca, 0xfe83f576, 0x9fd867f5, 0xf4884a69,
+    0xe23159a3, 0xe19cd40e, 0x091100f5, 0xb517deea, 0x61cef23a, 0x50323c14, 0x7548b5a1, 0x4eb38c1c,
+    0xa370c1b8, 0x8e683611, 0xf8bfbb6b, 0x987010de, 0x4b45df4b, 0x8c9fa9d6, 0xb041973e, 0x785af589,
+    0x7fe699cf, 0x9b68757a, 0xa66428eb, 0xee8ea49e, 0xb0f28efc, 0xf12e502c, 0xe514d69d, 0x0ad57843,
+    0x9fb668ce, 0xac46d9de, 0xe0248eb7, 0x006010a8, 0xcabebe6b, 0xc8307290, 0x8feae18c, 0xd0988b81,
+    0x1e760955, 0x4f16d596, 0x18c9431c, 0x893c25fd, 0x0c0c2e48, 0xeca79d4a, 0x861bfea2, 0xccfcb73a,
+    0x47cbe6f1, 0xdf831ed6, 0x62f9798d, 0x4b1294db, 0xd2634637, 0xf54d55b9, 0x0ae21769, 0xda80de21,
+    0xc907eeb5, 0x1aa0d74a, 0x04f7d12c, 0x69058aa0, 0xae31bba1, 0x364878d7, 0xadc9f3a8, 0x7ffb38ee,
+    0xab7aa41e, 0x80c650f8, 0xd7e05f99, 0x2fb5b459, 0x5a17238e, 0x4ea7018d, 0x83a29706, 0xe39e09a0,
+    0x15cdd8a3, 0x9aa16b97, 0xe38f2fc2, 0x6f61695b, 0x8b6bd79f, 0x5aec5411, 0xca1b5547, 0x41e9b647,
+    0x0e5dd037, 0x1aad0b1d, 0x72891de2, 0xc8458c05, 0x993590e2, 0x240e6db3, 0x84e29b75, 0x9fc6ce5b,
+    0xdc3fa0cd, 0x0e6fd2bf, 0x71901a50, 0xd3fb602d, 0x7951d103, 0x56da3243, 0x9ae41992, 0xeed7b569,
+    0x37b08d1a, 0x5fd27b6d, 0x8a7d705a, 0x2d05bc81, 0x58ebdc9d, 0x47e877b0, 0x23e44f36, 0x3a4c3130,
+    0x885ca52d, 0x091f5c6c, 0x79482c15, 0x0b2a5870, 0xde613091, 0x3b7bcd22, 0x6a1beab3, 0x9b3f3643,
+    0xad360980, 0x74155e68, 0xa159df94, 0x4254b545, 0xe0b80e55, 0x2e718b15, 0x9cd94366, 0x45521c18,
+    0x4ae5df84, 0x7205297c, 0xe61bfdbd, 0xd774b90c, 0x3787a366, 0x6f55633e, 0x2d6665bf, 0x16ed1736,
+    0x843691ee, 0xb50c4d6a, 0xa43003a0, 0xdf942573, 0xf186c60e, 0xc203842f, 0x3a1e3b94, 0x1a9264da,
+    0x82eefbf3, 0x66d3b141, 0xc9ee9c20, 0xe2b0960d, 0xcf5e02d2, 0x64ff11a8, 0x2b5baca6, 0x7bb9b18b,
+    0x1caafd01, 0x12214d9c, 0x3035d47b, 0xdf415412, 0x6d075714, 0x0cb4d557, 0x270998a1, 0xee8e0355,
+    0xbeaed690, 0x6ebc2217, 0x928c5667, 0x7546f5f5, 0x56130937, 0x5ff39293, 0x40a8d774, 0xe4b8d6f9,
+    0xc9eef5c1, 0x3049adb8, 0x04e91718, 0x1dab2b8d, 0x0f0fce05, 0x4641a36a, 0xe565917c, 0xffe139f8,
+    0xb78d92cb, 0x0065b883, 0x90834627, 0xc4767ccd, 0x3343a3ce, 0x2f92ca4c, 0x31cead2d, 0x31585586,
+    0xe108a08a, 0x828cb99c, 0x467b94f3, 0x0f52faa8, 0x5fd4b3d9, 0x70331b48, 0xf3f5fae7, 0xf9bce472,
+    0x01d346fa, 0x6ae32259, 0x99ca39c1, 0x8b58df0c, 0xd5c6aad7, 0xbf150e08, 0x5c6fce13, 0x4548d69e,
+    0xf784ad86, 0x31e480b5, 0xe0d3075d, 0xbb84991e, 0x31281ab7, 0x4dd05872, 0x8afe4d1c, 0x0af8d35f,
+    0x954ef941, 0x1b847994, 0x78130d90, 0x8a865c5d, 0xed2ac101, 0xd27bc5b1, 0x4410707f, 0xefc0dca8,
+    0xfe9b6ada, 0xd71919de, 0x2da67f69, 0x594c8181, 0x28a68c24, 0xb840b681, 0x3a56588c, 0x1172be17,
+    0x970e0f56, 0x23b27a3b, 0xe708050a, 0x22ab3c61, 0xdc4ffa0f, 0x97713832, 0x2d072d2c, 0x7955338b,
+    0xff82d0a1, 0xa8154f8f, 0x24e67988, 0xf929057d, 0x37278d84, 0x579f368f, 0xb601477d, 0xb1f0b133,
+    0x8a54855b, 0x04010177, 0x20900cc5, 0xd21cd4b9, 0x466a324c, 0xd59b3d2b, 0x80a2a1c6, 0xe7797b99,
+    0xd17984e5, 0x213929c4, 0xf3bf388e, 0xf89dc803, 0xbc133d6e, 0x9ce7c8ce, 0x1cb695ec, 0x04db262f,
+    0x42d5a34b, 0x5d5f7c6b, 0x9e2b646b, 0x464e0808, 0x57d56194, 0xaa31b834, 0x3dc92814, 0x3e04b313,
+    0x3eac755c, 0xa8242224, 0x1f44e1b1, 0xb90daba5, 0x6fce3fd5, 0x6ac7cd9b, 0x27599140, 0x17ace183,
+    0x993d7de7, 0xd24f33ba, 0xdbdb6431, 0x3f660afa, 0xd2d738f0, 0x2ceeedb9, 0x20223255, 0x6d1890c0,
+    0x292e8db4, 0x3592e474, 0xcc0fbccb, 0xc5e48517, 0x4f21fc95, 0xdadf0055, 0xa32214d9, 0x2dcbd4a0,
+    0x98fc8b6a, 0xd1734113, 0x94a8c0a9, 0xa13b0660, 0x4d0cdaae, 0xec079fdb, 0x6f6a9aed, 0x5540961a,
+    0xf81881d7, 0x4f947caa, 0x4434ec63, 0x402e703b, 0xadc5085d, 0x7edf6073, 0xcd709b58, 0xcfd611d8,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000341757925747345613183\
+                         20347298712833833643272357706444319152665725155515612490248800367393390985216 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9,
+    0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d59010, 0x5cf0b3a0, 0xcca1fbd3, 0xbaa3e746,
+    0x00000000,
+    0xd9f69e7c, 0xf6a45964, 0xde23b23a, 0xdd806c93, 0xd23bed7c, 0xd442fbde, 0x574d6c09, 0xb1ed269a,
+    0xe0d45771, 0xbaab1d36, 0x42d171c7, 0xc3c3d51b, 0x80ccfb15, 0x90201136, 0x0e36c71d, 0x2f86b1b3,
+    0x10447df8, 0x17d45b13, 0x71a90c5d, 0x10504e04, 0x8298095d, 0x454398f3, 0xa847bb1f, 0x4b7ad4b6,
+    0x7667aefc, 0xac77bbe7, 0x7eecd61b, 0x0bafd14e, 0x5ff9c63c, 0x8a487f4a, 0x1915be80, 0xcf73b217,
+    0x40a5d9fe, 0x54f2685e, 0x7d1f621c, 0xbeb9dbbd, 0x81a7209a, 0xf10dd94c, 0x51d8c863, 0x5577bd03,
+    0x03060b51, 0xb266bb3b, 0x6121a0f2, 0xee10e986, 0xb7ddb69d, 0xc0fb3c93, 0xe33d8c0c, 0x1ed5b332,
+    0xf86e146e, 0x44a56353, 0x6bee46f8, 0x153b59eb, 0x023d9232, 0x69205190, 0x6bc80fa1, 0xb193f2d8,
+    0x1c89e621, 0xf20ab63c, 0x995eb0e4, 0x52f66e2f, 0x59472f72, 0xc5eddee3, 0xe492aac9, 0x18d16be0,
+    0x7b5803da, 0x2fc2b66a, 0x833513ed, 0x1e3fcfdc, 0xce0e95a0, 0x4048567f, 0x294480cc, 0xdf65d122,
+    0xd38129b9, 0x2718bc80, 0xb5b1c5b1, 0x395615cb, 0x2fb4db2b, 0x70e85b5a, 0xf6ecaae5, 0xffb33044,
+    0xa7ed6ed9, 0xfac7f52e, 0x2c1defb4, 0xf39e3fef, 0x4ce5bcbd, 0xa536f4e1, 0xe2f41024, 0xfac1d76d,
+    0x34941e0f, 0xcc5c287f, 0x499939de, 0x692806c7, 0xaabd7a7e, 0x8d056e92, 0x6e27878a, 0xcf56d7ec,
+    0x5de785a7, 0x4f704269, 0x4cdcca5d, 0x517beb28, 0x012f7e9a, 0xf7f563c2, 0xa6d97b93, 0xbea77e56,
+    0x7aeb9988, 0xb174a9a4, 0xf24e8c73, 0x722d4c7f, 0x1303523c, 0xad0cace0, 0xc127e9af, 0xfc5c6491,
+    0xe944546b, 0x4adde065, 0x293103a7, 0x557d2901, 0xba673096, 0xd2d3f11a, 0xa7f0f23e, 0x373ec4d0,
+    0x0d0aa934, 0xe8b3a0d3, 0xcb6381fc, 0xc484aa96, 0x3870684e, 0x4b6555b7, 0xe7443e6b, 0x5e1bcfe1,
+    0x888be46a, 0xe78f1da3, 0x9cc51665, 0xa2f95490, 0xa6af3293, 0xcf1b9020, 0x0ee03308, 0x2d2f0f7e,
+    0x3222169a, 0x3f8c2ce3, 0x6a6622ac, 0x3ed0c6bb, 0xdbed6152, 0x94fc0856, 0x282816c4, 0xb69785d6,
+    0xa795be3b, 0xdca2ffb7, 0xd35eccea, 0xfd0aaf3b, 0xa849bb47, 0xe261f6ff, 0x6a6218f1, 0xf812e0c6,
+    0x8ce3a3a4, 0x43d69bcd, 0xb2e32b0d, 0x94853ceb, 0x0cd69719, 0x43e65b20, 0xdd425699, 0x55a7f2c4,
+    0x7473c419, 0x8e0b59b5, 0x729d0e44, 0xc38b2850, 0x8bb12095, 0xc434a6f0, 0x13280659, 0x5d743b4c,
+    0x0213210c, 0x99650931, 0x20e82439, 0xf0d2d62b, 0x18d1af36, 0x6034f700, 0x483dd9a3, 0x6d2f7f6e,
+    0x19f95914, 0xae1f0efa, 0x132c2f37, 0x4bbac545, 0x00f73616, 0x380f12e1, 0xd8bf1070, 0x7297949e,
+    0x026172af, 0x592969da, 0xcc25aa9d, 0xf10182fb, 0x1b4edfb4, 0x420e6401, 0xed49d505, 0x03284fdf,
+    0x8bcf4f48, 0x6aa30cbf, 0x2835be60, 0xb04ab503, 0x72cb1d5e, 0xe03d1b54, 0xb1f76955, 0xdf28a128,
+    0x8a4d47de, 0x50a5899b, 0x5a19b2e8, 0xaa5308c2, 0x0216e4d8, 0x9c05ef10, 0x37a2f8ee, 0x96cf5d62,
+    0x8ced878a, 0xa851fafa, 0x3c0b2591, 0xee4f5e54, 0xea6e779d, 0x36054cfd, 0xa1bec5c9, 0x9285fc87,
+    0x3f64f750, 0xa85cf425, 0xb6d75590, 0x6e4799c2, 0xdd1ef8a2, 0xfad54147, 0xe73c8f99, 0xabd3859b,
+    0xb68ed795, 0xd588e29a, 0xe2671d42, 0x9dd9bd0f, 0x629aa6b9, 0x5ddce856, 0x67e22f21, 0x5a001463,
+    0xe0ad00db, 0x8e1d2cdc, 0x2db09462, 0xfb479e17, 0x79151aa5, 0x4c30b903, 0x837d7973, 0x21756dc8,
+    0x19975a09, 0xf5ed2bd7, 0x4c34ccfb, 0x4e6d3f56, 0x254136e1, 0x8a85e8c1, 0xf61eb33a, 0x9c831495,
+    0xdf9481a1, 0x941baa17, 0x2d5af51b, 0xc9bdf3e9, 0xea8ee84f, 0x84227984, 0xac367e3e, 0x7f55e523,
+    0xfdd0e069, 0xc31a2f28, 0xbe320360, 0xed464a1d, 0x6c2aa4ac, 0x70537fea, 0x55bb10d2, 0xfd97b2d4,
+    0xf8a330d5, 0x507a790a, 0x6b6338fb, 0x1d0834ff, 0xb6ce93a0, 0xfda81dd0, 0x04e87a54, 0xf3fdb39e,
+    0xdbe98bf9, 0x99278461, 0xd91b716b, 0x809e167d, 0x416f6883, 0x06c03a39, 0xd0b17561, 0x76faf43d,
+    0x3fd658cf, 0x486c313a, 0x81d52aa2, 0xeff9f5d1, 0x72c097f3, 0xaf6e5c81, 0xc8e5229e, 0x129f7708,
+    0x1a0f8937, 0x10200c88, 0x143210c2, 0x864127da, 0x75487f71, 0x138dc943, 0xd12ffa5f, 0x4ff274aa,
+    0x1a628e32, 0x2d5c7e25, 0x78a96d75, 0xf2fcd407, 0xfaf3e973, 0x35c0e336, 0xd85cb191, 0x4774c248,
+    0x545e70fe, 0x2e06fc77, 0x27dd86cb, 0x3458cf10, 0xa180833b, 0xdb8bf96b, 0xd0a9eb11, 0x91679c68,
+    0xa7e3b953, 0x0524a464, 0x50fdf50f, 0x47cd2462, 0xbdb9a3b3, 0x1a24650d, 0xde10a6f4, 0x15bb04ac,
+    0x9cdb7fc8, 0x8495ff78, 0xe1717af0, 0xf7a19bd7, 0xa36d2de8, 0x97309423, 0x63d6f5df, 0xcb79a70d,
+    0x514c31c9, 0xec1c6f8b, 0x2475f014, 0x30b3a8b3, 0x5489d5d3, 0x0c58c232, 0x930b649a, 0x2bb67fb3,
+    0x3c166f53, 0x72616744, 0xedee58b9, 0x1788e06c, 0x95289399, 0x80eb2936, 0x334d90f3, 0x33877e76,
+    0x0317ab7c, 0x8fd95daf, 0x73bd4fd8, 0x6b915865, 0xc1209083, 0xd7ef45c1, 0xccb1f3b1, 0x15cbb306,
+    0x9d3df37b, 0x163751a2, 0x421c3db8, 0x6131ca0e, 0xe447c56a, 0x7aa39e9a, 0xd8e71f76, 0xd4ac928d,
+    0x310cc73c, 0x1ff7f722, 0xcf9d8d42, 0xff74995e, 0xbb2d7e38, 0x9145d036, 0x5c3ea394, 0xa4dfd50e,
+    0x4bfa32c7, 0x3ad1c09a, 0x1e28edf2, 0xec754d50, 0xe663bf95, 0x054ce1e8, 0x0668cd75, 0x3d1a359d,
+    0xdc4e0d01, 0x8b66f987, 0x84d75db2, 0x5b3b43a5, 0xcc52ef53, 0x91360064, 0x4cb23a62, 0x4f0a6998,
+    0x710bfc5a, 0xfbd1605b, 0x4c2ea360, 0xa7657e85, 0xd74bd7ec, 0x3dd55f1a, 0x2804fe8c, 0x95aeee20,
+    0x4ff91992, 0x479154d7, 0x6e14f988, 0x5ddc1b29, 0xf72db3d6, 0xe3fa7501, 0x645010d6, 0x0ec56dbe,
+    0xec7d46c8, 0x97b5fcfb, 0x3c4c461a, 0x287cbdf2, 0x757f8e9e, 0x34bb82e8, 0x2604f8e7, 0x09f27996,
+    0x32dd691c, 0x02856616, 0xd94c0b2c, 0x66f0336d, 0xac967787, 0xa51be61b, 0x8ccf9d73, 0xbe79f00b,
+    0x7802da46, 0xa50e1cb8, 0x684bacb5, 0x02014358, 0x915764f1, 0x1062eac4, 0xd5319753, 0xdf9a8ab0,
+    0xdd36b9c9, 0x2253490b, 0x8e5c5b04, 0x316046ab, 0xe1f927b7, 0x245800d9, 0x560912b3, 0x3b7ba97a,
+    0xa8023f50, 0x35e024d8, 0x514cb7a9, 0xbc52c3b4, 0xf0d71d7a, 0xccb78d52, 0xd47f20b7, 0x70bc493f,
+    0x2f410fe1, 0x78933945, 0xb11c0224, 0xe0967afc, 0xb31426d6, 0xcb83b16c, 0xb3c8d89b, 0xc63b5406,
+    0xf8e55f5f, 0x348d914d, 0x71bc2fdb, 0x0b61da21, 0x460eaa05, 0xa3e4ac14, 0x384a52b1, 0x2185bdff,
+    0xa1ee31e5, 0xea0427d5, 0x2d726595, 0x3333c132, 0xd281bf69, 0x008f8696, 0xb10d4d39, 0x0bfd917a,
+    0x07ddc5de, 0xa1ce93cc, 0x2abc2f4b, 0x5eff8490, 0x6e51cc07, 0x963d5d5a, 0xa6220c1b, 0x50d2f3ba,
+    0x4698b723, 0x2b34a28d, 0x2a9f07ac, 0x2d0497f9, 0x0a65fba9, 0x4261a43c, 0xac42ed50, 0x4669dac9,
+    0x5c0099da, 0xfd11e47c, 0xd81204af, 0x782e0544, 0xf6130a30, 0x2e2d78b2, 0xef6dec02, 0xfb6d7d56,
+    0x1cd8570d, 0xab844f02, 0xbb7c7452, 0xefb78d62, 0x29b23dbb, 0xb51c70dd, 0x51e7e31a, 0xc9ea98c7,
+    0xdf82df81, 0x342fd9f7, 0x252032f1, 0xfa540341, 0x03e50b5f, 0x9f9ff671, 0xaeb8be5d, 0x34388bc9,
+    0x782f5a89, 0xebe2174e, 0xe53943f9, 0xcd784d68, 0x381a3654, 0x01707bd3, 0x61a72ea4, 0xb0cf0a66,
+    0xff9802e2, 0x9532a2e8, 0xafbc620c, 0x02332b63, 0x38b48dd2, 0x9fcc1d52, 0x79534884, 0xa94eb0a6,
+    0x8c0a44bf, 0x05718ff6, 0xdadc7c52, 0x7f66f610, 0xcc9f09cb, 0xbb348b83, 0xa430db95, 0xbd5a07a4,
+    0xa4831ef3, 0x73898d3c, 0x06d26964, 0x84889d02, 0xa0fa1b17, 0xb17432fe, 0x9cbf0105, 0x04ed781b,
+    0x1d38406e, 0x242ac8db, 0xbeb00d8e, 0x77da7bd1, 0xf727d488, 0x430ac36b, 0x7e183a05, 0xcd7188ba,
+    0xa80d2343, 0x5e1fce38, 0x5c9d759f, 0xff7e67f6, 0x81205286, 0xdf6974a3, 0xd74e643f, 0xa7210cc9,
+    0xaa4b72a0, 0x407c090e, 0x8d34cabb, 0x6d71f66d, 0x7b7c1d0e, 0x7a15a15f, 0xa7b559ac, 0xdeda4422,
+    0xa115ecea, 0x8b03f020, 0x02af4624, 0xc03a8139, 0x975039db, 0x15d3ca66, 0x03be95cb, 0x7e4b1725,
+    0xbdbaa96e, 0xef112f7b, 0x216284aa, 0xbc6da26b, 0xeafb5647, 0x3aa39163, 0xfdb4b72e, 0x63e138d6,
+    0xc9f411e1, 0x31871ecb, 0x6b67af7d, 0x43d371be, 0x3d5eb2e8, 0xdf64e5d1, 0xb806fd2b, 0xd4928062,
+    0x4ac73c14, 0xdfcd67a7, 0xca238f60, 0x401af74d, 0x927ca7b1, 0x1b41bccc, 0xe14263f8, 0x2c6cbe67,
+    0x765e77c7, 0xa1a6a9d1, 0x171d5a79, 0xd63bec67, 0x0bdd77f0, 0xd718e64e, 0x2ec4880a, 0xf966be34,
+    0xeb4bc4ec, 0x0809c18c, 0x1724a9c4, 0x127d09b6, 0x411b8c7f, 0xe012e16a, 0x012c7458, 0xc41089b3,
+    0xdbad6675, 0x5be78757, 0x3f96ba9d, 0x5b58a1d1, 0x8558ac39, 0x7b4ddebd, 0xd8201783, 0x15e7f4b7,
+    0x90e7e951, 0x9e3b6c2f, 0xca2f03f9, 0xbd54ced7, 0x593e112b, 0xa8d6feb9, 0x2a593a46, 0xf4430b5a,
+    0x55d29607, 0xb4e0b354, 0x8b827be4, 0x0a032b3c, 0x5bb8d3c9, 0xaa77cfc3, 0x81decde8, 0x84b9c995,
+    0x528dba3a, 0xe15e79a1, 0x627b9573, 0x4fd6ab69, 0xfbf0fd20, 0x51dcdea4, 0x40e83556, 0xd01e9091,
+    0x3cc47fe7, 0xcbf51686, 0xf9baf8f5, 0x0002c99d, 0xc4e6cf21, 0x3a6941a5, 0x396084ca, 0x3e6868a3,
+    0x8221b472, 0x04dd14fa, 0x6220d90c, 0xb4df95bf, 0x5bcf07f2, 0x99bf5523, 0x7de7a125, 0x73e1876a,
+    0x07cc1fb2, 0x6065c988, 0xa106bb2d, 0xcdf88130, 0x5648c1de, 0x0dfeb295, 0xb86af875, 0xa141c62b,
+    0x652075a8, 0xc1eaca56, 0x71aec011, 0xf5b52b75, 0x685a0ce3, 0xd97a3f57, 0x31ba617e, 0xc715fe60,
+    0x13cba9a0, 0x28f87eeb, 0x112136d2, 0x4d50753c, 0x3cce9712, 0x6b923f34, 0x85937537, 0x45757166,
+    0xafe02b88, 0x5062ad26, 0xafe6cbaa, 0x708b0dce, 0x3614297b, 0x05619050, 0x44ae72c0, 0x3dae7ee7,
+    0x1eb37ba9, 0xd253db9d, 0x4a187ef9, 0x9905f9e3, 0x529fc61c, 0xcdd7943a, 0xb3186756, 0xd49c3683,
+    0x15b9c283, 0xa34297de, 0xa2bb3f0b, 0x6e6363ec, 0xa661c4cf, 0xb5b616f0, 0x9edcdbbf, 0x5fa13ecd,
+    0x021e6e68, 0xcd8f95fe, 0x3ebf4f8d, 0x1bd164ec, 0x1a59a6f8, 0x0d8dfcfc, 0x868682f9, 0xb945cb08,
+    0xa1981e3a, 0x7fad80d2, 0xcd0bfaf2, 0xa126e9c6, 0x7a3357e7, 0x6ec0891b, 0x64c4e7b1, 0xa4a3f881,
+    0x53f61227, 0xf7336a37, 0x1458ca45, 0xa27a2f7e, 0x7bbe4ac8, 0xd53891c2, 0x78b14cac, 0x28d2a684,
+    0x3400dd3f, 0x9e098067, 0x9f7d9b31, 0x843b5894, 0xbdb994de, 0x90e9da8b, 0xce38b70e, 0x8c34e946,
+    0x098f1f3b, 0x4ed910da, 0xc2b2b463, 0xd51baecd, 0xda19a706, 0x19fad157, 0x70b940d7, 0x32c67332,
+    0xf5b7ab73, 0x10c91768, 0xb16951b1, 0xe8ff65a9, 0x31d4ab2d, 0x76134e67, 0x56cfcf08, 0x46342392,
+    0x76b42278, 0x9f513450, 0xd3d1e0df, 0x6a1118ab, 0x288be8f2, 0xc7ac6706, 0x09a94b4c, 0xe9fc96cb,
+    0x204590de, 0xeee3b0a4, 0x9f4b162e, 0xc5ed5278, 0x68699fc2, 0xd7129cf1, 0x02fdd910, 0x796e67e5,
+    0x20d20623, 0x07f3ac60, 0x2aef914f, 0xfb28ee6f, 0x3045fc59, 0x32c6a1d3, 0xf06fea25, 0x50c57335,
+    0x12c3116f, 0xc3f445a3, 0x535acb75, 0xf68235b9, 0x5a2e5ef0, 0x2f762691, 0x03082153, 0x6a637faa,
+    0x3305b487, 0x3120e1cf, 0xaaa21c73, 0x558aa9c4, 0x73cb248f, 0xb514c670, 0xd2bc583b, 0xdc9e6e27,
+    0x886e4c4b, 0xf8f5ec70, 0xd84554b9, 0x02637bc0, 0x39867bb9, 0x31931dba, 0x06f63645, 0xed30d9c1,
+    0x27501064, 0x8b72f496, 0x5909b1b2, 0xffe3431d, 0xbdd29a5d, 0x862a09f8, 0x06111377, 0x7353d5c8,
+    0x9a3ec951, 0xb55e9a14, 0x365469ea, 0x94530e1d, 0x9aefcb96, 0x0628ca8e, 0xfbca2dca, 0x470fa1f1,
+    0x03161b08, 0x84e04126, 0x79f1d047, 0x1d8b7e75, 0xcc791d0a, 0x8fcb6527, 0x1854d3c9, 0x53dbe5fb,
+    0xb7770951, 0x141702d1, 0xec57c495, 0x7df274d6, 0x929ce468, 0xd2e27870, 0xf87b4eef, 0xc656e13a,
+    0x81fdfbb3, 0xd7699858, 0x47911ea0, 0xabf5fefa, 0xfa604f0f, 0x25a9ebb5, 0x8169da6d, 0x644514c9,
+    0xc2882ea9, 0xf711508d, 0x5a673de9, 0xf9853d31, 0xfe8a4bfa, 0xa8f9e0b3, 0x2733be00, 0x88d4a2ea,
+    0x2b022aeb, 0x080c861c, 0x00af691e, 0x1333414a, 0x42e7d43b, 0x89ca1bd5, 0xd0bad893, 0xe8800b28,
+    0xdb690d50, 0xa46600fb, 0x96e176f9, 0xb69a6578, 0x6d9ecfcf, 0xd08ddac4, 0xb0d26102, 0xd3ddd6e3,
+    0x843c4899, 0x13c6d839, 0x3f639a10, 0xa797aded, 0x7b671dda, 0x85f85aae, 0x4cb48a47, 0x9072e81b,
+    0x48b27f0c, 0xc63664c3, 0x6e0212ca, 0x4866de3b, 0xa64f7286, 0xed24265d, 0xa27ccc30, 0x0ab2d6a7,
+    0xad0a3757, 0xa0eaf12b, 0x928db3ca, 0x37f4d472, 0x4d91fb67, 0x371bbb03, 0x7420050c, 0x4a5ea6ac,
+    0x7ab3d010, 0x881e42cf, 0x93511904, 0xc0a36508, 0x189d6cb5, 0xfcd7e600, 0x19d91bf5, 0x0f90bc3b,
+    0x631f2a3b, 0xedabdfa9, 0x70512253, 0xc33ebcc3, 0x7ebc9560, 0xa082d261, 0xd5700f0f, 0xcc5d9cf0,
+    0x55169d59, 0xb650f55f, 0x74d2a72b, 0x243102be, 0x9e47d687, 0xf9b13d44, 0x5d3b5e6d, 0x3c4944f1,
+    0x5b5e7586, 0xbc68e617, 0x036fe4a3, 0xc1d8b5ba, 0x5d3e3e42, 0xe1f9f8e9, 0x30b379d2, 0xf0a2ce32,
+    0x7f4e89b1, 0x5b993816, 0x1eb13d7f, 0x20853f84, 0x729b8933, 0x8976c38e, 0x8b4e25e8, 0x45861812,
+    0x3b4a3e6e, 0x40976cc2, 0x0cbba8ab, 0xc3afca4c, 0x6572d9d2, 0x46130ee3, 0x48784343, 0xe0bc4b8a,
+    0xc33cb172, 0x90ee888e, 0xb9b22ec5, 0x7dc2510c, 0x4a462d19, 0x441f4dbd, 0x8fc42cfe, 0xb33d7cea,
+    0x7d3a9f14, 0xde908c1c, 0xbb9cb332, 0xe78fd860, 0x95a6e906, 0x63b9b41e, 0xc61bd92c, 0xfeac19df,
+    0xfcab9de2, 0xb914ecf8, 0xd08f6a27, 0x8201af6d, 0x2e5d3945, 0x60edc9e9, 0x0f824144, 0xa4dca195,
+    0x99ecc932, 0xd1980f66, 0x113c94ae, 0x525e150a, 0xbc06f854, 0x3e37181f, 0xe7eefb03, 0xc393cea0,
+    0x4f51ca56, 0x5c8299ce, 0xfc79e300, 0x542e492d, 0x35a00c6e, 0x4ff48ff7, 0xd3d21a1b, 0x8f70ba91,
+    0x490a3c2d, 0xc579d480, 0xbf3b3b2c, 0x87d3d5c7, 0x3f40573f, 0x6583f6ba, 0x2593c7e0, 0x8b4d3489,
+    0xd77c07c2, 0xdf952b16, 0x19ee4f8a, 0x8dd5a6d6, 0xc250ed50, 0x63fe5a79, 0xbe2117d0, 0xd217c478,
+    0x86edcaf6, 0x9cd3f2ba, 0x5d4619e3, 0x986bcb33, 0xe9816b8c, 0x707f5cfe, 0xec74e6e7, 0x2f6c1fcd,
+    0xe05da19e, 0x04ec75be, 0x86b295aa, 0x222c7019, 0xcd0231dd, 0x0e9b3d62, 0x8e28b1e5, 0x67e8f2a3,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000170878962873672806591\
+                         60173649356416916821636178853222159576332862577757806245124400183696695492608 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4,
+    0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808, 0x2e7859d0, 0x6650fde9, 0xdd51f3a2,
+    0x00000000,
+    0xec37a1d7, 0xe04e7ea3, 0x5b44cabd, 0x16a9d0a6, 0x80394ef4, 0x246e9422, 0x886cd0d1, 0xdefe119e,
+    0x95851368, 0x56ac1bb0, 0x6c640ecd, 0xe99b0870, 0xd186825c, 0xb1c015e3, 0x128dc9c8, 0x5e3758d2,
+    0x42fa6887, 0x1d017e44, 0x5d7e7361, 0x0ca87cce, 0x8da245ee, 0x126b9e3a, 0xaba0f21d, 0x1259fb26,
+    0x195d2051, 0xd03817e0, 0x1f6f9b30, 0x35a4f61f, 0xf7fb085d, 0x086b3aec, 0xb7b80864, 0x47022c70,
+    0x784a193c, 0x71c249b9, 0x4828f5d2, 0x6972774c, 0xfa6dbad4, 0x15678750, 0xa442f52b, 0x99d365d0,
+    0x67ee3b51, 0x788204db, 0x9a72fc56, 0x5d3df12f, 0x5288ae9e, 0xa3914023, 0x52945c5d, 0x81d03810,
+    0xed00fa50, 0x82d82815, 0xad1e6d9a, 0x71575877, 0x755dbb7c, 0x471b8ae8, 0x2e9f6f95, 0x996ba2fe,
+    0x00f78acd, 0xac838e84, 0x1eedb3ea, 0x56e06cde, 0xe09e70aa, 0x67a3cfee, 0xe6d53b4b, 0x5345c4fd,
+    0xef7963a0, 0x66e1dc66, 0x9923abd5, 0xa35000f0, 0xf87ed3cf, 0x17a507fe, 0x80664b8c, 0xb24bed73,
+    0xa7945fae, 0xdc165f2c, 0x8caec2a2, 0xbe6d10f4, 0x541956e7, 0x99883032, 0xa10438d2, 0xa973ef48,
+    0x476d62b4, 0xbb5d5170, 0xbf6d2349, 0x69798733, 0x2dec86fb, 0x93582e21, 0xbcb224d7, 0x0f1e9c89,
+    0x3b8a6361, 0xa8593abe, 0x0b5c9922, 0x6ae447ee, 0x37b81d26, 0xf1cfb9ba, 0x1237a028, 0x5c6f3ca1,
+    0x9a26c754, 0x169501cf, 0xe8fdd3ad, 0xc0a9e054, 0xb8f00bfe, 0x832c4d44, 0x91cca956, 0x618e7990,
+    0xdcf1b96d, 0x55bd964f, 0x34d54312, 0xce909357, 0x5d3b6c71, 0x73e75cc6, 0x34fcba51, 0xd627e411,
+    0x889792e7, 0x60b2adfa, 0x111e2df0, 0xbdc80ea8, 0x91ba2752, 0x4c4b41a6, 0xb16f21af, 0x25fd5836,
+    0x90b5f235, 0xacbd7df9, 0x2085fe8e, 0x950338fb, 0x4618af39, 0xc1be13aa, 0x7f42bccc, 0x9e4d25a4,
+    0x9cdc4941, 0xc9962b26, 0x36d8fb79, 0x1da1cd60, 0xa5b65397, 0xa6229008, 0xe2631c9e, 0x72182ff2,
+    0x069f8705, 0xecfe7938, 0xc3cba632, 0x4ce753fd, 0xbc39b5db, 0x25e17568, 0xd8f7b954, 0x7f82918c,
+    0x1e756b40, 0xa6d7af0c, 0x403118dd, 0x5d952066, 0x825f83d7, 0x93fe5540, 0xc3beb081, 0x2a2729dc,
+    0xa8a6eead, 0x0ae4c346, 0xaf81a97b, 0xc177c071, 0xeafb82e9, 0xd8ec4010, 0x6347f75a, 0xdc9e31cb,
+    0xff4aa99a, 0xc3d09ffe, 0x000392ca, 0xd42fa269, 0xb5f142fc, 0x2afb38a4, 0xf9d745b9, 0xb5319d6d,
+    0x6137ac03, 0xeffc00b6, 0xba9b558a, 0x979b88a1, 0x88f441e8, 0xef6ee510, 0x65b27267, 0x46f9bc97,
+    0xe860e94b, 0xf20303c5, 0x79aed4f3, 0xf93f8c10, 0x19722f27, 0x71b5bb51, 0x22bb42eb, 0xbf56a175,
+    0x839783b6, 0xe2519c19, 0x11a5f601, 0xf3ae9e1d, 0x29c28d15, 0x54dd6a1e, 0x1d6fb70d, 0xa83bd0c0,
+    0xe50f0f30, 0x8b44ef28, 0x134eed04, 0x6ddfc0c2, 0xf9c4f47d, 0xcf6b9744, 0x3fb2bd22, 0xa9ad6c3d,
+    0x34616a95, 0x0afc1a57, 0x028ed10b, 0x3d8af45e, 0xfb9576eb, 0x0c13ae1b, 0xce879b56, 0x762c1749,
+    0xe796eab5, 0x26ecc57e, 0xf888faa1, 0x7286143b, 0x2a80220d, 0xf1e455a4, 0x821efa5a, 0x41548d7d,
+    0x90698cc0, 0xf0c1a593, 0xaaddbb07, 0x7f503b99, 0x01617b6f, 0x1d86e3aa, 0xc5449559, 0x54688728,
+    0x336cde78, 0x5c51756c, 0x9c828d75, 0x675bf201, 0xc9758374, 0xa71d4e96, 0xa7f8c143, 0x94aa968e,
+    0x2d682eb4, 0x8043da65, 0x97040cfe, 0x6b047462, 0x2974f594, 0xf08d1b2a, 0x3b2f34b3, 0xb32bf9ac,
+    0x94de971e, 0xb5623e91, 0xa193c6e9, 0x09f3c36f, 0x229d7f61, 0xb041d916, 0x1c82b1c7, 0x417d96f0,
+    0x1cad725b, 0x31e4797e, 0x710b5b3b, 0x1f105e00, 0xb41278ce, 0x801613f3, 0x2b31c4f7, 0x625f461c,
+    0x51dfe858, 0x870962f3, 0xb432546e, 0xcff37d7c, 0x89d4d2fd, 0x81fe01aa, 0x0bd9e3e6, 0x5763ee0c,
+    0xf441dea0, 0x59c3013b, 0x5e49b47c, 0x7b39433a, 0xe3447a37, 0x72acb06c, 0x90095b2a, 0xb46f8074,
+    0xf525bcde, 0x5fa38eaa, 0xaf4275b3, 0x12036b58, 0x47d3131b, 0xd8e715ce, 0xe90a798b, 0x4a8791e9,
+    0xe2a20740, 0xf35113f1, 0x45f22f80, 0x135a3e75, 0x2eb0a961, 0x217fa809, 0x91b99540, 0x1cec01be,
+    0xf457145f, 0xe4267a6d, 0xc940888a, 0x127f6dcb, 0x76a6468b, 0x7f09e3c5, 0x05feaad7, 0xb36d9c7c,
+    0x9d9d0b0e, 0xb5baf567, 0x17c2ae0c, 0x16d3e86a, 0xa9fce974, 0x77a421fb, 0xf673e98a, 0xecbc5f43,
+    0x3fa9659a, 0x0b2ad897, 0x30e0a63d, 0xacaa880e, 0x6adc5832, 0x8f396cef, 0xb273b3fe, 0xffc14d43,
+    0xe92c7191, 0x3630f102, 0x38c4d18a, 0x1c443e2a, 0x6d4f0c25, 0xdcda733c, 0x47d42563, 0x29e9bb39,
+    0x14a6e10f, 0xbf286663, 0xb40a966b, 0x30c09987, 0x9502ca9e, 0xadc179ba, 0xc1557cf6, 0x0c6e87a4,
+    0x7687e3c7, 0x7bf02525, 0x4676aafb, 0x914362a9, 0xee4f8055, 0x91afd758, 0x2f648e8e, 0xb6b79fe0,
+    0x3eb45730, 0xfa057dc5, 0x202728c0, 0xc0b601fc, 0xf59bc61c, 0x45c4b4c9, 0xec16a661, 0xde05ee1a,
+    0x79ccfb0a, 0xea9b61bd, 0x550875e8, 0x79eaabb2, 0xb324358e, 0xb97ffcc1, 0x33c16773, 0x94244a56,
+    0xe120bd2b, 0xfd33aee7, 0x435e75a2, 0x94a7c7b8, 0x51bd533d, 0xc80ec9c8, 0xc8d3397c, 0xaa616214,
+    0x700bfe0a, 0xa5fa459e, 0x518a0c0a, 0xed8cfa4a, 0x8675e012, 0x8f094caf, 0xf4c0ee7d, 0xb6d53af8,
+    0x36c2563d, 0x6e82bb55, 0x57f3f5b2, 0xced19eab, 0x818cad6a, 0x28d9dc70, 0x71f2d9c5, 0x7d3b7cda,
+    0x7377498d, 0x2492cea7, 0x60cedc09, 0xf56d4023, 0x1df17389, 0xf9a8d000, 0xf7efbccc, 0x681764d4,
+    0x19691f4e, 0x46616185, 0x4790cc56, 0xc23e2ddc, 0x88ffbfb8, 0x1bea0e1b, 0x1bf4d108, 0x73c01815,
+    0x822e1f67, 0x2a9a66e2, 0x7302feea, 0x702a3779, 0x72a743cf, 0xa61dfbac, 0xe7f03561, 0x41debd17,
+    0xd2c76a73, 0xefd61f97, 0xd9cc44dd, 0x7489903f, 0xd9eaf8d6, 0x77ac949d, 0xca315079, 0x7499bb67,
+    0xee26087e, 0x75ba3cf5, 0x7049a28d, 0x9dc449cd, 0x697d6d4f, 0x0d68a4f7, 0x1a8ff787, 0xa3f00514,
+    0xbf8e7784, 0xa65c18d1, 0xe7eeb522, 0xf02f3f98, 0xc32feb63, 0x6df3ed25, 0xd2eca6a0, 0x9d9d5a95,
+    0x7afeedba, 0x78010aa5, 0x0761c87b, 0x0999e203, 0x68261682, 0x7e27c7c7, 0x2aa0428e, 0x6050f8f6,
+    0x72c9f9be, 0x8e88e1ed, 0x74457c6d, 0x62b20ed3, 0x20757f8b, 0xe231c0e9, 0x6ad29ac1, 0x84577f0f,
+    0x68e29502, 0x33431965, 0xb347a2ca, 0x98aefe90, 0x486fca8f, 0xb734b505, 0xd1d4cce6, 0x638a9af4,
+    0x7fe62a09, 0x81775e46, 0x08fd94c9, 0x8f98700a, 0x719aeda8, 0xcf57ec2b, 0x662b1178, 0xd7f7a0cc,
+    0xdde086b6, 0x5f318c9a, 0x8e79c9e4, 0x4e47e061, 0xc810064b, 0xc8c3c8aa, 0xd52a64ef, 0x58f5da89,
+    0xc3359e57, 0xfc4e4a3b, 0x20ca7c7a, 0xaba31281, 0xd74dadad, 0x2930c8d4, 0xc54ee2ca, 0x0452c397,
+    0xbeccc24c, 0x8d0770b4, 0xc792c4b9, 0xf3f5fc78, 0x205dc0c0, 0x09f863b4, 0xcaeee24d, 0xf7c45adc,
+    0x5b74e2a5, 0x80b20237, 0x02e1cb1e, 0x1fbae048, 0x72d6c681, 0x07919dfd, 0xbac83fe1, 0xbf2d27e1,
+    0x75d495f7, 0x28e5ceca, 0x2546f81a, 0xd23fff39, 0xc43d1836, 0x71f0ee44, 0x16b62608, 0x5e043fb4,
+    0xf7c12c21, 0xc56a631d, 0x38c058d3, 0x492cad07, 0xba8083df, 0xa1bab5bb, 0x4c1ade4c, 0x90e2e6fc,
+    0xddf3b709, 0x21929baf, 0xcd9dc3a4, 0xae33ccd8, 0xdf14efb8, 0x88488135, 0x8a074fe0, 0x77d9c4e6,
+    0x53635f4c, 0xd291c4ee, 0x88239b18, 0x77dc8435, 0xb773f0e0, 0x1d3aad22, 0xf8a4d73e, 0xb36a0313,
+    0xbb7b1f56, 0x3431839b, 0xe23e4484, 0xc4a6d9ab, 0xafa43fac, 0x89db458c, 0x68ff9d65, 0x1f87b45f,
+    0x71ebaf70, 0x0e463399, 0x4aa55639, 0xaf0c0ce3, 0xf364eea0, 0x08396621, 0xdc03ffb6, 0xe394c810,
+    0xeb17341d, 0xe8234ac6, 0xbed497a7, 0xe2cb01d5, 0xc855c7f1, 0x4becf585, 0xd0567b44, 0xe639e5d4,
+    0x6d89b184, 0x1ee4bcb1, 0x76c6509a, 0x3759010f, 0x6c31b0d3, 0x9f790c20, 0x9be825ef, 0x9d8338bc,
+    0x730296cb, 0x9122bd06, 0x69c5c2ae, 0x40cfad6c, 0xb3574730, 0xe2984db9, 0x8832f967, 0x4f974278,
+    0x70e497d8, 0xc610e5ce, 0x5340f5c7, 0xf8a3e9b9, 0xc3557cad, 0x475f4f45, 0x50ea3a49, 0x5548f68b,
+    0x3d30c015, 0xea2d382e, 0x4d64ca7d, 0x61e0fc88, 0x76ad0d57, 0xbbba2ba3, 0x64331eb5, 0xbee47116,
+    0x868bd3f9, 0x6f5ed560, 0x2186c62f, 0x1c93735c, 0xc5858875, 0x814c2586, 0xda3c3b6e, 0xc24b9b4b,
+    0xe755956d, 0xecc0b386, 0x351b482c, 0x3d8656c9, 0x1910335e, 0x2a89b444, 0xe5ad7208, 0x638c6df0,
+    0x41b5c6c2, 0x665bb35b, 0x1c187898, 0x8bb8b702, 0x64274365, 0x1c2f053e, 0x307a3a92, 0xdb4a7753,
+    0xd3f5b118, 0x53cb0e73, 0xdc8e1907, 0x3072ed6a, 0x30da8418, 0xea5e4025, 0x6049565b, 0xa137cd60,
+    0xd5948a08, 0xc5728b91, 0xbbae4f55, 0x1ea737bb, 0x26ca6bc0, 0x15c9cd65, 0x222dac80, 0x2932775d,
+    0xc38b23d8, 0x582f310b, 0xd4fca69b, 0xfff90586, 0x4a6a05f8, 0xa684a4dd, 0x2eadabe5, 0xc52f7125,
+    0x5f0fbad6, 0x3c4a44d0, 0xebf81e77, 0xfc38d0ef, 0x6f958ded, 0x6ffab074, 0x89bac685, 0x87925b6d,
+    0x12b0bb83, 0x2b6aee57, 0x2cb952ea, 0x616af67b, 0xde15081f, 0xc4be9589, 0x82e507b6, 0x36affb4a,
+    0xd25d3dff, 0x75cc727b, 0xdef74e86, 0x149029ad, 0x9b27a27e, 0x4a50e024, 0xa50ffead, 0x917d7bd0,
+    0xe676d66b, 0xec8d28cc, 0xeedb61b9, 0x7888c718, 0x55ce4d3c, 0x331529bf, 0xecdfa3b6, 0x4dae28e7,
+    0xf7573295, 0x5d26c838, 0xb3764ad9, 0xaa716e4a, 0x8ef9fd37, 0xe2e02435, 0x6d4639d1, 0x9f240ea3,
+    0x4cdae534, 0x9920294f, 0x0c27c405, 0x03b5e9b7, 0xedfc821b, 0xfbc1ce58, 0xc36c4f22, 0x22d55b2b,
+    0xe7891af2, 0x8d1b6c58, 0xc43a62d6, 0x00fb1a13, 0xda2ace74, 0x7d5b7e05, 0x29581e77, 0x8a536d98,
+    0x5eb0b0a2, 0x4860f70c, 0xf6061b73, 0x9d4067c3, 0x256ef682, 0x8308e058, 0xade5f30d, 0xefea9590,
+    0x910ae5af, 0x31191f85, 0x10501f15, 0x024fa5fa, 0x4e917391, 0x1833fe43, 0x6c188d65, 0x537ce7e9,
+    0xb458e851, 0x75efce1c, 0xa67092b0, 0xfe2c22af, 0x81bb27cc, 0x88605ce3, 0x6e9edc9f, 0x18e01754,
+    0x41f96a65, 0x22e1a6dd, 0xfe4f4bae, 0x83c5c012, 0x79d50e0a, 0x3d07b2f1, 0x23a84417, 0x8a354daf,
+    0xaca34738, 0x51d97dd4, 0x26fa116b, 0x19b97909, 0x74ede0b5, 0xfb7c37a0, 0x524a2e16, 0xffd75110,
+    0xceee6866, 0xfbb03ef5, 0x03323e5f, 0x3c1e3f1f, 0xb709bb35, 0x98ea4d0a, 0xbb18d6cf, 0x6451b7da,
+    0x7013db22, 0xbd1c196e, 0x1f0d02fa, 0x27181ccc, 0x53ef22e6, 0x6b80495b, 0x0aa78898, 0xc48b74d3,
+    0xf37b6d8e, 0xd94d4eff, 0x02d44f5e, 0x4929b4db, 0x8499e82e, 0xf8da8238, 0xaac018fc, 0xdab14509,
+    0x9eda5b41, 0xd2505645, 0xd4573406, 0x8903ef4d, 0xeb4958a1, 0xffe53080, 0x597e6aa4, 0xe51e8388,
+    0x3c332f28, 0xc909a8ac, 0xdb4a28ed, 0xfb00c679, 0x1995f845, 0x6a8b85f3, 0x22530eae, 0x335dfd80,
+    0x5c82c2cc, 0x16cdcc4f, 0xa5097644, 0xe3ad94c6, 0x19f4622e, 0x38add0de, 0x271700cb, 0x1d590b58,
+    0x3c06ad5d, 0x4e00dbd1, 0xde4826a0, 0x2c136476, 0x63e42767, 0x1888e375, 0x0e3929ca, 0x249dcc19,
+    0x3cb42446, 0x3761d13a, 0x971a5636, 0xb0db5d02, 0x03cbaa91, 0x6906152e, 0x481ef38d, 0xc8d4c26b,
+    0x04ebce52, 0x47dcb9c8, 0x1e593e3f, 0x5be6b244, 0x8bce82f2, 0x4401902a, 0xc15ce4c4, 0x089b1df6,
+    0xf793647d, 0x02d91f67, 0x597938c3, 0xf14fba50, 0xd3caec74, 0x0f8d636d, 0xe4a71516, 0x1ee1794f,
+    0xea30d662, 0x43a9460f, 0xe67d216e, 0xad09a7ac, 0x75534881, 0x2f1a6caa, 0x255a09e8, 0xbad2e4b7,
+    0xc878fc77, 0x01cecaf5, 0x97849a70, 0xf0ec0b16, 0xfc72d891, 0xe5a34a4a, 0x81f7a90c, 0xde41f482,
+    0x0e2c0285, 0x3f5d8e1d, 0x9b8a5302, 0xde4080ee, 0xa2865ac5, 0xf3af7016, 0xbd0fc092, 0x52a55e6d,
+    0x0db91d82, 0xb3d6257f, 0x938d4c8f, 0x97889dbe, 0x598c470c, 0xc7b7cbc4, 0x70b01fdb, 0xe89f00a4,
+    0x6ffb2b82, 0x2816100c, 0x2b7f3a72, 0x429923dd, 0x79383bee, 0x6e15882d, 0x0a2b7e02, 0xf405ea6c,
+    0x454557fb, 0x2250f0ab, 0x7a2656e2, 0x447ed282, 0x8ecaf173, 0x67cd2f57, 0xc8b8050b, 0xf7cef50f,
+    0xda603470, 0x08c8e51a, 0x27880369, 0xe3ef02c9, 0x912962fe, 0x5730940d, 0xca700a0b, 0xacb39798,
+    0x129c5c18, 0x7ca9a423, 0x0446ec1d, 0x95626e37, 0x31bcfedd, 0xea2e98d8, 0x7386c496, 0xe9d1a47a,
+    0x852fb8dd, 0x957bccc1, 0x18910b51, 0xc87b21d3, 0x603ac6df, 0x4251c374, 0xbf5540d3, 0x5ede1867,
+    0xce500497, 0xcf1b8570, 0x5be3097a, 0x1cdabcaf, 0x5f4d8fb4, 0xe7d1f014, 0xf82c040f, 0xb599b8c7,
+    0x54442f12, 0x3007f566, 0x3b0ca5b1, 0x9a76d967, 0x195d2d49, 0xcce175f1, 0xf166fbb5, 0x987c030c,
+    0x10c0bec9, 0xbb39bd4b, 0x31efff24, 0x8df0ab18, 0x36d100a6, 0x866b8f86, 0xe81f2d80, 0x452bb59b,
+    0x76710d1b, 0xe74a97e4, 0xea989ba5, 0x40549d82, 0xb6c9a76b, 0xcf297386, 0x3268aad2, 0x30330d61,
+    0x3a76e6ad, 0xfd7dea1a, 0xa4c5ffd7, 0x1a002f21, 0x4d9d1f4c, 0xbe47c804, 0x0db8f282, 0xe02bc979,
+    0x6c31b331, 0xf9851d61, 0x0419fe02, 0x6e0fd94a, 0xfcf57e24, 0xbba6d9bc, 0x7b3004a7, 0x1b26c0be,
+    0x0cf18ccd, 0x60b44a23, 0x7b4bc57b, 0x5fbd03f6, 0xd143162f, 0x4fa53eff, 0xd8487894, 0xd24a138d,
+    0x48f67fef, 0x883c1232, 0xd0c80beb, 0x2782d632, 0xa4adfdf4, 0x46fa7680, 0x6106a00c, 0x1a28c524,
+    0xadd24cdd, 0xb8403142, 0x22714be7, 0x566f62c2, 0x84d88e7e, 0xa949c27f, 0x7ba25e20, 0xf9084795,
+    0x9ceb5a0c, 0x082904ae, 0xd7dfbfaf, 0xaa0b5929, 0x20084a73, 0x52241ca1, 0xa0f64658, 0xb98a742e,
+    0xf244eabc, 0x3ed64e9b, 0x77e865b5, 0xad1b6cbb, 0x9893d1a8, 0x61d7d210, 0xe45df1bb, 0x2d404d00,
+    0x0e80812e, 0x1bb10618, 0x481acc49, 0x237b4760, 0xef7b8c9e, 0x6b27413b, 0xfc604880, 0x81972d86,
+    0x8c3b0e88, 0xf5f8fcfa, 0x8676bfa3, 0xf1fa0a0b, 0xd08bb89e, 0x46fd868d, 0x57e9c00e, 0xab7dc9ea,
+    0xee237ac3, 0x402ede05, 0x5a38d285, 0xa34c8cee, 0x3d2e280a, 0xd0c1d3cc, 0x71d857af, 0x2a9cc290,
+    0x38323a0f, 0x2caa26f1, 0x79609fb7, 0x660c2015, 0x5c7c0b09, 0xf2e90036, 0xf555e5bf, 0x2d617721,
+    0x0c09b7f9, 0x7ccb464e, 0x081e0024, 0x75556e89, 0x833cf72a, 0xbdc63323, 0x9861b194, 0x277d64ba,
+    0xdab19011, 0x0e193d96, 0xf282b181, 0x24dcd33e, 0x65f0ed8e, 0xd181fe51, 0xeb3f93de, 0xd553d873,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000085439481436836403295\
+                         80086824678208458410818089426611079788166431288878903122562200091848347746304 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2,
+    0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56404, 0x173c2ce8, 0x33287ef4, 0xeea8f9d0,
+    0x00000000,
+    0xf5e8e8fb, 0x2d76020a, 0x3c5d1070, 0x346aeeb1, 0xdc6bf643, 0xe951dae1, 0xb8262e95, 0xb707800b,
+    0x2e8abf1e, 0x991e34e3, 0xe539ee3b, 0xb185c844, 0x76cdfdc7, 0xb302ccdf, 0x05c0d8a8, 0xbe8f3a61,
+    0xc9c18d2e, 0x167045fb, 0x6829fd53, 0xe2f5967c, 0xdf9b5ae0, 0xd5f3cb22, 0xb9a58afd, 0x4c025eaf,
+    0xa3892f2e, 0xe83a9dd5, 0xb65d0dcc, 0x62690586, 0xcec61ca4, 0x104d492b, 0xb316bf4c, 0xf136d263,
+    0xd25039b8, 0x97d302fd, 0x9d03e652, 0xcd6cce53, 0x711dfbb5, 0x4bfd4940, 0xd7940b21, 0x85efdf49,
+    0xba354b58, 0x15482966, 0xc8d09ad0, 0x5d2d0c5d, 0x021fa9c5, 0x8c59ad22, 0x8459f938, 0x6f3400a8,
+    0x96b90b89, 0x7bbde0d5, 0x1c35f8d3, 0x8ddaf133, 0xcaf76428, 0x2604c77e, 0xf9254959, 0xb69d5141,
+    0x291fff14, 0x1ce653c8, 0xf1b9413b, 0x4168858f, 0x5e3361b6, 0x0532a790, 0x96203663, 0xd91556cc,
+    0x320ca5bd, 0x825d1d4f, 0x87a7adbe, 0x729f9605, 0x711ece0b, 0xbed0cdf2, 0xa9be6bc3, 0xa5fc227d,
+    0x4f268c9f, 0x313a0bde, 0x1c8272b4, 0xb0a5ee61, 0x7c4d1ee8, 0x4fcff932, 0xfba23b5f, 0x7ca20108,
+    0x6336efa3, 0x7a288929, 0xc9d18d40, 0x649f14bc, 0x26b1cfd7, 0xe5827832, 0xe303f99e, 0x67b2b5f2,
+    0x61aa3837, 0xecf67b5b, 0x75dbd504, 0xa2e6db84, 0xfc4ba533, 0xf6ad8ac4, 0xdbce7045, 0xfbdc324b,
+    0x26206977, 0x7e10b699, 0xfabd9372, 0xd5b7fdc6, 0x16645b39, 0xa006719c, 0xe99e1ddd, 0x578d98b4,
+    0x6cafbb13, 0x14c40204, 0xed843c8e, 0xcdc86a2d, 0xc1e656f5, 0x7f2f98f1, 0x5b27ec8c, 0x1d722744,
+    0x88d6525d, 0xe65b8818, 0x24da96d5, 0xa824bd05, 0xe4092d69, 0x0d1a3aac, 0x9696f74f, 0x74d41b57,
+    0x306e1123, 0x1d1651a6, 0xf01bb5d5, 0x10e9a108, 0x3b83004d, 0x3a7ee5c8, 0x34451e88, 0xcef5d580,
+    0x1472c8c4, 0x5ba532ff, 0xaad537de, 0x3edc8f9c, 0x37587924, 0xa8f7f7e2, 0x449983fa, 0x37acc967,
+    0xdf27ac21, 0xd06f83bb, 0xcad49ee3, 0x53149c75, 0x5c6d0bef, 0xfb866282, 0xb7781ff2, 0x055e50fa,
+    0xa01a7fce, 0x79ad0070, 0xc330cab9, 0xa0ec5184, 0x516d8d9b, 0xdf9b28a5, 0x496efa71, 0x73fe5186,
+    0x1b14c755, 0xc5c79951, 0x95b1d9d7, 0xa27e62da, 0x2b3ac157, 0x48dd2604, 0x28c82477, 0xdfcec822,
+    0x5d7a8094, 0x6a69a266, 0xeb41f72f, 0x5ba3015d, 0x300da50f, 0x78d72e5d, 0x6fb2c647, 0xa36ec906,
+    0x515c9ebf, 0x6172d445, 0x40c5b8c9, 0x06605ca6, 0xb0bcdc67, 0xb8883488, 0x5136883d, 0x76dde562,
+    0x2709fcb6, 0x74e861a5, 0xbefb8a91, 0xf40f04c9, 0x10c17702, 0x45ad730d, 0xe88fa695, 0x6722a845,
+    0x23ebe4cc, 0xb851965d, 0xa049093b, 0x902bc630, 0x2c338f09, 0x1c48d7c5, 0xaebc9cd7, 0xd88dcd78,
+    0xd02df0be, 0xe5c29716, 0xf9c05d40, 0xb8adf7fe, 0x1dd91961, 0x96ce7379, 0x469266ab, 0xe00ccf49,
+    0x8c615608, 0xa4a65771, 0xea179cf5, 0x9ccd8c15, 0xd0576efc, 0x6515e9de, 0x8858f58b, 0x8c87b4ce,
+    0x00b66d02, 0x5dd2802f, 0x05e1cd96, 0x254f72d4, 0x683a82fe, 0x8515d5f2, 0x9c52bb2b, 0xe8c78a7e,
+    0x1ad894a5, 0x9335d50d, 0x3552d2d1, 0xd43d7436, 0x05125870, 0x2d956e2e, 0x5c69b1f4, 0x66ee3fa5,
+    0xc54b8770, 0xda046da7, 0x08cff54e, 0xee4ce87b, 0x4193a5ae, 0x181be779, 0x2c096a77, 0xdaa46bd6,
+    0xba6c5364, 0x9a9a7a25, 0xf31a9936, 0x3a65981a, 0xed013a96, 0x8c787b5a, 0xf0b07a03, 0x2348417d,
+    0x4e81df35, 0x2f574563, 0x2becd245, 0x9eeb004a, 0xd5ea9a5f, 0x92d25324, 0x7a29abb8, 0xc99d391f,
+    0x7982f147, 0xd6bd795e, 0x961f8778, 0x9c32f61a, 0x56a07b2e, 0x13bfea3b, 0x4bf9eb7d, 0x0a89e48a,
+    0x18de0d7b, 0xd50f0159, 0xbc93fc98, 0xd549a0e6, 0xed6403ad, 0x24ee7a01, 0xddabf0e8, 0x0c251ed1,
+    0x010c8f8a, 0xd95495f9, 0x3dd0de87, 0x7502d68b, 0x1149d3cb, 0x245c4207, 0x085b879b, 0x98152702,
+    0xded60693, 0x04fd37c5, 0x66cda276, 0xe3280b37, 0x1f7f4221, 0x173d9e5b, 0x58f0d96d, 0x879f2b13,
+    0x85e9cc6e, 0xfe36670b, 0xe448623b, 0x9fcdca83, 0x61da404b, 0xa0b733e7, 0x2ae66666, 0xd2c76bcb,
+    0x429f720f, 0x319531b7, 0xec0c7dfe, 0xbc47174c, 0xb62a3e0c, 0x6698de82, 0x157f0f85, 0x6d95f80b,
+    0x360e2fb2, 0xfce1d968, 0xcc2f32bd, 0x331430d0, 0xebf75bfc, 0x6cc4dbb5, 0xf3a17494, 0x64e4dcca,
+    0xf47f0704, 0x1151676a, 0x77138bd4, 0xaf0a6449, 0x8dd45bf6, 0x290489ab, 0xfe9ac66f, 0xd252e38a,
+    0xb20120f7, 0x7d9f601d, 0x185dfadb, 0x34de35f1, 0x8b618156, 0x3102b7c4, 0x2a18a771, 0xd937398d,
+    0x65ddabbe, 0xa4b00b51, 0x98bb9dfa, 0xbdefc46e, 0xd3743dc2, 0xa65efe0e, 0x7c96757e, 0x22e53b77,
+    0xfe5ebfee, 0xda1ce049, 0xb3dcaaf3, 0x2b625022, 0x9ea26d78, 0x8198e223, 0x89b51348, 0xddf4a044,
+    0x51dab90f, 0xb4340916, 0x4a3daf79, 0x89acaff9, 0x8fca5dcf, 0x411d30b1, 0xe8d53fcd, 0x8fcbabb3,
+    0xee1bdbb0, 0xde2448f6, 0x90aeb867, 0x39cb3bd9, 0x568a0ba6, 0xcafd708c, 0x834eaf47, 0x65be1cb9,
+    0xe800a0de, 0x7acb9656, 0xb67fa188, 0x9184fc9b, 0xc47c8833, 0xb90207a1, 0x126b20cc, 0xc8ffc173,
+    0x053199dc, 0x688d37cf, 0x26ce6468, 0xd7ab9c3e, 0x8e000f84, 0x084606f6, 0xc52ef52f, 0x628eaece,
+    0xbb701743, 0x1a2ff16c, 0x5aefe482, 0x273b5881, 0xd640cdc7, 0x23f314f3, 0x7f13a513, 0x75d60230,
+    0xede0270a, 0xdf94d198, 0xae4641ff, 0xa276e154, 0x106e2225, 0xb6c19ae0, 0xd8f321c9, 0xba15f275,
+    0xe67cca6c, 0x2994914a, 0xb20ce17b, 0x970573c7, 0x2ae2ae6f, 0x6a563e10, 0x01da1737, 0x0aed4683,
+    0xb6ef0a2a, 0xe3e4d29d, 0x00cbc017, 0x37662ba4, 0xc27a548a, 0x64dd4710, 0xfab10f09, 0x509f140e,
+    0x590d6ad6, 0xb011031f, 0x9ee47ae3, 0x50b65f67, 0x565a6575, 0x83913bad, 0xe2acd920, 0x1a3cf270,
+    0xa826086b, 0x3efd5131, 0x4afe8440, 0xf9ba16da, 0xaa627936, 0x72d7f945, 0x1211a004, 0x2191a6ee,
+    0xf41e2978, 0x3a6942f6, 0xc83b7f3a, 0xc2b86326, 0xc8957df4, 0x13f1bf3a, 0x8ff4c623, 0xb54834b6,
+    0xa8de4cb0, 0x2506ad15, 0x58ad0812, 0x22bd0bd0, 0x4de3fca9, 0x995f9df4, 0x4bbf4ef8, 0x037b328f,
+    0xcbc62068, 0x98eb7677, 0x8f4cfa3a, 0xe2dc4480, 0x085ccd39, 0xb541082d, 0xfa58d5e6, 0xb302daf4,
+    0x1b4bf69c, 0x8766f559, 0xcb3bd4c3, 0x567659df, 0xf231f324, 0x48d18451, 0x219a713c, 0xa5f0999a,
+    0x3aa2f2f5, 0x1dff5fcc, 0xbd52f6f9, 0x7bd45e31, 0xe87baac3, 0x603882e9, 0x5564f27c, 0xcad7dd57,
+    0x1d8916bb, 0x8769253c, 0xcfceb4bb, 0xae0b586b, 0xad43b675, 0xb76e157b, 0x5d93419a, 0x20a50b3d,
+    0x232fb719, 0x231b6da1, 0x9349b98a, 0x7f8a9208, 0xaaf87cf7, 0xd35f3fe0, 0xb26bcdcb, 0x3738a5e6,
+    0xb085fa71, 0x6df2d788, 0x9ebc282e, 0x7851f07e, 0x1e9b5c77, 0x838a9a15, 0x975414d7, 0x7ee956e0,
+    0xd106d0dd, 0x9951569c, 0x061a395e, 0x62e7c970, 0x1227554a, 0xe8c02072, 0x02ae9b7b, 0x44d47f46,
+    0xddd26c0d, 0xb8ef0326, 0x950357bc, 0x55b0b687, 0xccd34180, 0x3a9a2382, 0x483d9efb, 0x7e07b012,
+    0x5a48fba3, 0x77e1e236, 0x64d83a8a, 0xaf6c410d, 0x4ab983a0, 0x7ed8a26d, 0x3db4d241, 0x3501bdde,
+    0x0b27e97e, 0xe5b9c01a, 0x7482d566, 0x04601a26, 0x93ecfe6a, 0xda9f5282, 0xd651f0da, 0xb7bea643,
+    0xaa7fac97, 0x0009b531, 0xb8da1f5b, 0xc9aafe8f, 0x01c1771a, 0x29d6e5e0, 0xb16e12a3, 0xdab24c1d,
+    0x7c9f68eb, 0xc99a2861, 0x2738af4e, 0x22da885c, 0x90af4ca4, 0xc453a9e6, 0xd0b140ee, 0xea75c7d6,
+    0xfb5f9fdc, 0xba42df4b, 0xe68d5e91, 0x5ea95df9, 0xc1142edf, 0x40188294, 0xc3a701cb, 0xeea9bcf4,
+    0x9a4791be, 0x5256c3c9, 0xa52490e1, 0x037aa934, 0xedc785f0, 0xa68ddb65, 0x3e0bbce7, 0x76fd45a7,
+    0x035cba7e, 0x46f2b52a, 0xbe862a1d, 0xf6364e0d, 0x1ac097a0, 0xecb1329a, 0x57666d85, 0x67692b02,
+    0x6e4d2487, 0x9aa55a93, 0xdc4e8206, 0xfe5aee29, 0xf776d585, 0x235c985b, 0xef171d22, 0x1fef7874,
+    0x6770a60c, 0x354e79c9, 0x3ab36725, 0x2ce57fa0, 0x91cd36b8, 0x88d5ca9c, 0xbb0eccf6, 0x761e1e62,
+    0x6f58fe5e, 0x9574e013, 0xb4b5625b, 0x3412c5e4, 0xc12cb074, 0xfac1ecc5, 0xb8ec307c, 0x9c0ccd05,
+    0x70085b19, 0x68432db7, 0x27c8e38d, 0x5783031a, 0xd58ba5e6, 0x5116a47b, 0x73cbaea5, 0x1be96fcd,
+    0x75b5b93e, 0xe507ee02, 0xc28bf4a8, 0xcdfe68bc, 0x4ea4963f, 0xfb475323, 0x028912e4, 0x5f5ee252,
+    0xe668d39c, 0x4d7033b5, 0x422e4d6c, 0x0dfce38f, 0xa4fa805c, 0x71949cf9, 0x768dd80b, 0xe91fbd5f,
+    0x7afd89bf, 0x2f39df8c, 0x0bc7e45a, 0xbad13145, 0xd30ff6f0, 0xf473ef87, 0x57b4c725, 0x28cb6e63,
+    0xaf1a1aa4, 0x881c5b69, 0x8afc7759, 0xccbe3284, 0x74560587, 0xd119b763, 0xe4e7c886, 0x10609b2a,
+    0xec648254, 0x7afc7fb9, 0xc5440d0a, 0x86ac70b1, 0xd00ba129, 0xd360dfa0, 0xd5a96d2c, 0x665d26db,
+    0x2d9e4285, 0x4edb843f, 0x4fc4ea89, 0xe5b440d2, 0x5ba2e068, 0xb1e329e2, 0xe2989859, 0x7a1be90b,
+    0x014d62f9, 0xb8e5a06a, 0x1009fba1, 0x763fadbd, 0x39bff407, 0xcdd071cd, 0x29dcc75c, 0xbc8e3787,
+    0xfc8ab78a, 0x0f117adf, 0x09eeac11, 0x0e82687c, 0xe5ef44f9, 0xb3813afc, 0x7549fc55, 0x07414e49,
+    0x3d250c17, 0xb2dfee7c, 0xf128ed6e, 0x9f86318c, 0xe3672cc0, 0xca382cc2, 0x77b4346e, 0x0242999f,
+    0x6e4458e8, 0x4ea89736, 0x90cee54a, 0xe46ae5af, 0x393299d7, 0x10c4250c, 0xc0bd009c, 0x1c958c89,
+    0xb663f237, 0x4abed930, 0x53e3baea, 0xffd433cc, 0xbf549f7c, 0x3fa55492, 0x13dfcf5b, 0xf50fbfaa,
+    0x2279be53, 0x44bc11ee, 0xdbc6eea0, 0xe194a125, 0x29dce2ca, 0x6090f077, 0xaa32ef01, 0x97e62609,
+    0x4d15c4e5, 0x0516efd5, 0x7c4a1f0b, 0x645d7d2a, 0x18e9cea9, 0x7942b785, 0x85d4a6ae, 0x1df9aa04,
+    0xb2d70533, 0x396b3ffe, 0xad90556c, 0x98df3e67, 0x79225880, 0xe0b2cac1, 0xcf9c8f74, 0x8b020f7a,
+    0x6c025186, 0x0309b6d2, 0x49be9d17, 0xcf02de9e, 0xbfe90e2d, 0x48a2eaa4, 0x864cf90d, 0xc49143ca,
+    0xd403d4b8, 0x540c89d2, 0xaa54f050, 0x607d92f7, 0x2193e000, 0xf172e71f, 0x5653f2cc, 0xff29a939,
+    0x529f9cdc, 0xf3e625c3, 0x59e13c19, 0x5378e430, 0x95fb4974, 0x2573111c, 0x6106565b, 0x3db319af,
+    0xe63494a5, 0x650faed0, 0x7726c86a, 0x7706aef8, 0x355fe762, 0x61b567c1, 0xa90226fc, 0x6dd7f317,
+    0xba99b018, 0x0000cd4a, 0x076cf061, 0x798632ba, 0x88dc9550, 0x1ff25d6d, 0x04e50228, 0xe24e36a6,
+    0xef57d1ea, 0x37b41b10, 0xa5745eef, 0xcc251b41, 0xbe6e2d42, 0x2979022d, 0xa28c776c, 0xa769bce3,
+    0xf78d40a1, 0xf3b06ff2, 0x69926fb7, 0xb916c1d1, 0x9f13a7ab, 0xbbb4c6e2, 0x3cd428ec, 0x22ef9999,
+    0xdd8ed10a, 0x2b4854a5, 0xd8755e2b, 0x846cf04d, 0x24d405f0, 0xca8eef7b, 0x37c2806a, 0x40cddacd,
+    0x070efa13, 0xae188c67, 0xc56254ea, 0x6e2a967e, 0xf9b93156, 0x921f2fbd, 0x8c5b963b, 0x53a2af0a,
+    0xea92cdec, 0xafbc2783, 0xab8ef5a6, 0xfeb5400c, 0x0e6016e1, 0x489e7252, 0x4459a25d, 0xdaa4903f,
+    0x9f126e0b, 0xe24ce30a, 0x95531bfe, 0x73e47a4f, 0x3ea3d584, 0xf4384bb5, 0xab53c64d, 0x39f84bde,
+    0x04f91af9, 0x8ab74f37, 0x5dbcb4d5, 0x06d2c30a, 0xd3dafaba, 0x2d1fc4a3, 0xbe34e875, 0x8ff2e8c8,
+    0x0b868deb, 0xc2a21c8a, 0x9a4dc876, 0xa8d0fd2d, 0xd59ab290, 0xbcc6a9bb, 0x4e1f107d, 0xc9950dd1,
+    0x4e4b5d3b, 0xd211b4d7, 0xd9bde9ec, 0xacfd3557, 0xfec34d6e, 0xb5805496, 0xae80a54b, 0x2d541b61,
+    0xa09be645, 0xee8b6487, 0xc4989745, 0x777ca9da, 0x5a5501ce, 0x061d6af6, 0x00089888, 0xc960ee21,
+    0x3253c8b5, 0x397232bc, 0x3dbe82d7, 0xbbb86e30, 0x4cefdf3a, 0x4ad65c21, 0xe84b2c3a, 0x8a6f7e76,
+    0x4dcd0c6a, 0x037b5f5e, 0x59abfa11, 0xeddda12f, 0x41ba006a, 0xc0a27a98, 0x4d5fe020, 0x7daae6a4,
+    0x95508759, 0xe22fd042, 0xaee231a5, 0xc5c79de5, 0x4265b64f, 0x70980db7, 0xd29041e3, 0xd03cb7b2,
+    0xc35bfc06, 0xfdc21905, 0x1525afcf, 0xb83f6d89, 0x5521a751, 0xd59febae, 0x2d889da5, 0x6849a857,
+    0x68ad102b, 0x57df552f, 0x31194ec1, 0x2e682635, 0x8b406474, 0xcd70edb1, 0x21e17f9c, 0x818a656a,
+    0x5ce7bb52, 0x0e5b1d2d, 0x9cddf6d3, 0xada1193a, 0xd271b72e, 0xefbbbd46, 0xb2e1a336, 0xb58c8f52,
+    0x0461c149, 0x685b8e62, 0x906af67a, 0xf3acfe49, 0x445c7753, 0x029d8d10, 0xbed0db80, 0x374bddc8,
+    0xaca1e3ab, 0x24918e8e, 0x1b31a865, 0x8ad46d15, 0xb4faff67, 0x4bff4a27, 0xf72697a1, 0x0c5333dc,
+    0x7790825d, 0xb53e1d72, 0x0210b8b3, 0x28fead94, 0xb9fa8b8a, 0x28c57a76, 0x8572547e, 0x10224cbb,
+    0xbe402e5d, 0x252c0738, 0xcbb9bd5e, 0xc9aec465, 0x8062076a, 0x1da35080, 0x5f13f1fb, 0x0d8c746f,
+    0x0b419cdf, 0xc8910bd4, 0x31119714, 0x1c005250, 0x013a7008, 0x9bc6537c, 0x066c1b6a, 0x3592762a,
+    0xaa26a413, 0x44c2236b, 0xdfb81dc7, 0x35db00b3, 0x8815fa6d, 0x0bea0f89, 0xb4fb6e03, 0x1872114f,
+    0x8c5b21f7, 0x54b8aec4, 0x0c21ca50, 0xe527979a, 0x3ef6eb5d, 0xbd3b38bd, 0xa97b072a, 0x8c9ffc7b,
+    0x5df2cb47, 0x5940370e, 0x916b9563, 0x987fca47, 0xcc5d03ea, 0x3d5abc72, 0x52116cf6, 0xe96565b7,
+    0xb11b9a49, 0x8d7aac02, 0x70cd3682, 0xbcfbe99b, 0xd8cb6c9f, 0x426ff465, 0x6701f419, 0xfde07809,
+    0xa9c93d93, 0xd81ddd9b, 0xad5d65f7, 0x7b95e57c, 0xc74aadcc, 0x1d1042a0, 0x453dd12e, 0x3bb071c5,
+    0x5daf1477, 0x239a326a, 0xfe7d137e, 0xb0d0a47b, 0x5e79e4f8, 0x70db9923, 0x52ee53cc, 0x390bd592,
+    0x819dd548, 0x8eefb039, 0xa65a41dc, 0x9256535c, 0xab0eb975, 0xdabdd61d, 0x5f492311, 0x95f105c5,
+    0x9000b6da, 0x40045f1c, 0x697ecdd0, 0x9f657683, 0x59583e65, 0xfc09d14b, 0xe57aa078, 0xfec36bbe,
+    0x0096f259, 0x91871dd5, 0x1ee89d5b, 0xf0b5323b, 0xbd78ba46, 0x49ed14b7, 0xe84d564c, 0x955e1057,
+    0xd8c78cfd, 0xe17152b3, 0x56194ba6, 0xae27b0c6, 0x1c389618, 0x0f65e8fd, 0x99cb7bed, 0x06c039be,
+    0x429baa54, 0x2bdb6cd7, 0x27ee3cbd, 0xb71420c1, 0xb264d23d, 0xd5e1c0da, 0x641dd371, 0x8a69b589,
+    0xfd92ff47, 0x68740dc0, 0xac2bfc26, 0x9c724c75, 0xba2a6fbe, 0x3b2f2cf2, 0x26f94f4c, 0x45971deb,
+    0x0a550681, 0xd989a342, 0x6b61a563, 0x7c9f5493, 0x26c256ed, 0x2421821c, 0x65695299, 0xfb7d89ce,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000042719740718418201647\
+                         90043412339104229205409044713305539894083215644439451561281100045924173873152 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9,
+    0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab202, 0x0b9e1674, 0x19943f7a, 0x77547ce7,
+    0x00000000,
+    0xfae778ac, 0x1fb7c824, 0xeb1e4b6e, 0x19a65623, 0x6cb02362, 0x5e732843, 0x3249d57f, 0x82b46238,
+    0x32ff83fe, 0x627484cf, 0x9305d016, 0x8f2d4ce6, 0x7125dada, 0x0b59ef46, 0x9876f4a9, 0xdb81cec5,
+    0xe733b547, 0xd9ebee09, 0xc86ce850, 0xdcbc0174, 0x45541895, 0x3c1a0b76, 0x0a2016ba, 0xc4b3f432,
+    0x3851ed46, 0xbd7a49aa, 0xc310de05, 0xef3f2363, 0x952b22cf, 0x67f46c9e, 0x6c9e24f4, 0x44800f8d,
+    0x89292a46, 0xf9dc0e26, 0xdc9c77f5, 0x353525ad, 0xf14d541a, 0xceb5f14e, 0x7cff838f, 0x52decc56,
+    0x3b01624d, 0xc60f19e0, 0x7b99e5d9, 0x21cf20ad, 0xf735a2cf, 0x83486009, 0xebe1bee7, 0xe0b987ff,
+    0x54bb37b3, 0x3253ed10, 0x1bc7bd79, 0xefd0d5bf, 0x56a25064, 0x9c960b8c, 0x8cbd67a9, 0xe8f33029,
+    0x3a168a5b, 0x104c95e6, 0xf2b17846, 0x8ed3836f, 0xd41a23a3, 0x4875ac20, 0xbce1d0ae, 0xf683a8e6,
+    0xc1a17db6, 0x8d99dd66, 0xc06d5b28, 0xcd2ecf9a, 0x4d00412f, 0xdf8e58e7, 0xf65ab7af, 0xbb4f0c2f,
+    0xff05a2fd, 0xaab60cc7, 0x6ef63650, 0xa0280717, 0xc60a3035, 0xdcecf572, 0x2e018d9f, 0x70b6ccf9,
+    0xa2b522ad, 0x052c2c2f, 0xab46bd01, 0xdaec1507, 0xf4c86a3b, 0x61f68486, 0xdb46879a, 0xd0c3fb32,
+    0x37347fce, 0xe749c972, 0x26a450a9, 0x935b0582, 0x573e55eb, 0xf902c695, 0x6f25a2f2, 0xee472771,
+    0x5c290cec, 0x01a2a210, 0xfdd05d88, 0xe55959e5, 0x631c3f8e, 0xa1680bc0, 0xb306ff9b, 0x93b30658,
+    0xbdf48b6f, 0x4470f206, 0xa7e84e62, 0xce7d7d59, 0xeac6ca07, 0xba5b562e, 0x01196052, 0xf26882c9,
+    0x73576614, 0xf57277fa, 0xcec35f9f, 0x7e86feb0, 0xc6410932, 0xb8e0a94e, 0x80791305, 0x4dc6fe47,
+    0xb4b1f4eb, 0x829825d6, 0x91417bc4, 0xd103d5a1, 0x777de971, 0x05961441, 0x2f6fff8e, 0x774ac402,
+    0x11dc2d73, 0xb8012d16, 0x19af6909, 0x5fdcead9, 0xd6299737, 0x58d401a2, 0xacb41b2a, 0x78411bc6,
+    0xbcb84eb8, 0xd08aa03f, 0x7816012b, 0xcb064b2f, 0x713f96e8, 0xab3cd910, 0x8f63ca2f, 0x058f42ff,
+    0x3dc7c169, 0xb92d511d, 0x1f649903, 0x0ab85ba0, 0x32f12c33, 0x68812bd3, 0xb0245094, 0x489fc7f1,
+    0xa6a18a7a, 0x54851f7a, 0xf2876b28, 0x37076308, 0xa5b06d00, 0x9c88ed7c, 0x1d32ea43, 0x55487558,
+    0x8c60f9eb, 0x7f3e38ca, 0xd780dcf9, 0xad5aa7b9, 0x8d8dead1, 0x16076265, 0x81854eb9, 0x15088f44,
+    0xe64efbca, 0xec7f1d77, 0x192ce9ae, 0xc5ee9789, 0xbca00b01, 0x058cd8be, 0x5502daf7, 0xf8e97e15,
+    0xa182d5dc, 0x81c5697f, 0xe83b2f7c, 0xde4af6e5, 0x145a3186, 0xdcd31341, 0xf06eb167, 0x9c1ca830,
+    0x14977a50, 0x3d21cbc2, 0xee45a12a, 0xcacdc55f, 0x476473a6, 0x2405b920, 0xd05361e2, 0x593beea3,
+    0x865e5f43, 0xd36d0ddc, 0x8c5f5c09, 0x034f38cd, 0x36c72026, 0xa62dc806, 0x074b46c4, 0x2e3a29a2,
+    0x7f38208a, 0xf3e02fe1, 0xcdbb3c35, 0xe8398094, 0x5a2107ea, 0x47c15bed, 0x6875712e, 0xaf970b9d,
+    0xb59468b3, 0x95ba85e3, 0x9e390225, 0xe6f71148, 0x882d0240, 0x286b416f, 0xd30226f8, 0xa68242a7,
+    0x26a57ed3, 0x3cebe0fe, 0x821cfa27, 0x807439d2, 0x6be11b98, 0x34278a2e, 0xab9203b8, 0xa07be2f1,
+    0xfd9bab01, 0x70d4f606, 0x50067295, 0x55e9a18d, 0x49f8eb90, 0x8ec35818, 0x50e2a26b, 0xa4e4ca6f,
+    0xaaa8683c, 0x293dd7e8, 0x4bb70689, 0xb631c665, 0x625708da, 0x8396f067, 0xdc522fbe, 0x1dc64efb,
+    0x105ddb97, 0xe4600bb7, 0xe1f6f984, 0x2b5e8105, 0x4a2d61f0, 0xb8446099, 0x8f5eb57a, 0x71aa9003,
+    0x3adc2f0c, 0xe4181c58, 0x0d9e7a47, 0xc1d318ba, 0x24c3db7d, 0x3ae7fd1e, 0xf4eb8a33, 0x8929248f,
+    0x6b15e471, 0x11fcc682, 0x84858f33, 0x9381daf3, 0xbc4a7d11, 0xc4b6fe6b, 0xafddecd6, 0x5bdf1e07,
+    0x31ea50fc, 0xb608bafb, 0xd74cc9bc, 0xef934d86, 0x72592757, 0x438d7d94, 0x2813a358, 0x09771ba0,
+    0x9bc22ad2, 0x77cb0ebd, 0x18256413, 0x9ca9839d, 0x61571f79, 0x1c3a2efb, 0x54bac6f2, 0x6b30dae1,
+    0x609df86f, 0x29cf2939, 0xa1970ddf, 0x978573e9, 0x473fd43a, 0xe507d2da, 0x29874d1e, 0x6630ee28,
+    0xe705ec29, 0xcd8936b0, 0xc20615d8, 0xc3c135ff, 0x2d466afb, 0x446b630c, 0xd3eed35a, 0x725f60fe,
+    0xe01d7466, 0x2495e67f, 0xd634542c, 0x69067dd5, 0x0c1d8f93, 0xcf9883cc, 0x9611e4ca, 0x788bd4fb,
+    0xf12307a7, 0xb8525477, 0xcfbd4e53, 0x9bcff7da, 0x6c34058d, 0x219e7c5e, 0x6ce8de92, 0xd933da75,
+    0x0e8d082f, 0x325fe97f, 0x41d1715d, 0xeb0a0440, 0x5b76ef95, 0xac0a8f9e, 0x5cdb1787, 0x6e125c46,
+    0x0be438de, 0xe0c4daf4, 0x9e87b325, 0x1ec229c0, 0x08417356, 0x3632ea74, 0x8ccc05b9, 0x4a6ae98f,
+    0xa7e643f9, 0xc951a78a, 0x273665af, 0xf7d86832, 0x87bd4bd5, 0xc0344908, 0x81f7f393, 0x90ec600b,
+    0x8234e017, 0x6c60f8d5, 0x027bc409, 0xf2379312, 0x1d34d078, 0x9aacd5ff, 0xddd2d597, 0x06e36ce3,
+    0xe1cd1953, 0x935f8570, 0xbe87bdee, 0x8b649d64, 0x7b56c920, 0x5778c42f, 0xba93545c, 0xd46a9eaf,
+    0x680f83c8, 0x79856b00, 0x59daaec8, 0x710cc98f, 0x8b57a236, 0x698aedb3, 0x729472d5, 0x54268b7a,
+    0x293878ee, 0x0efd0c2d, 0x515f2bbb, 0x4ba194cc, 0xe914fbd4, 0xf3814ff9, 0x6eb3ddcd, 0x08bae774,
+    0x507c75b4, 0xf0434bbf, 0xb8918a09, 0xa63b884e, 0x6f844431, 0x84f9c15f, 0x15965108, 0x344e0018,
+    0x35ec0f52, 0x4fc49570, 0x8499d94f, 0xc4a97990, 0x0fa2e5d7, 0xc64c19a1, 0x8bac93b0, 0x48eb5f80,
+    0x3216fcc9, 0xb221122c, 0x38643d42, 0x7b9894e7, 0x5ef9097f, 0x11a818fc, 0x332d20bb, 0x4070a1b2,
+    0x84f6ca3e, 0x47231400, 0x6cf0b272, 0x49653165, 0xde2ade2a, 0x12deed4f, 0x161df988, 0x2bd5a76d,
+    0x3d15a7a4, 0x5a14c34c, 0x96838a34, 0xbb28db71, 0x78e56f0d, 0xf6807c7f, 0x18a8df49, 0x372b2cec,
+    0x974de839, 0x242ec113, 0x30045a11, 0xf0ef065b, 0x05e7835c, 0xf436d70e, 0x482fdc60, 0xdcec7bd9,
+    0x214bb1a4, 0x94704e55, 0xe9e3f916, 0xb5265226, 0xeaf0b216, 0x2ccd2bce, 0xd8d92ea5, 0x82269491,
+    0xdfe95e26, 0xef6f8716, 0x6f48e123, 0x9bc77bda, 0x9580b168, 0x023b029f, 0xad5711ee, 0x2fc3d8bd,
+    0x4b751b3c, 0x282d241b, 0x08a1baac, 0x9e6e8bc0, 0x24638e27, 0xa53ee827, 0x6fafbffd, 0xba0f3b73,
+    0xe2af5954, 0xae05b673, 0x37a48965, 0x37d7b056, 0x53b2d72b, 0xbe28fadf, 0xca60dedb, 0x1713e04a,
+    0xd0301316, 0xa86aefc1, 0x49d6f497, 0x9dc3e9c6, 0xa5f94ef9, 0x57803a15, 0x4fe904e5, 0x0c1efb3b,
+    0x477ca480, 0x2d55de19, 0x9f56aefa, 0xc3bb5f7c, 0x4bc6e601, 0xdc5e9c89, 0xafc52920, 0xf0ad9929,
+    0x3d8ca885, 0x29cd84a6, 0x0554b1c3, 0xbac70ea1, 0x2a4ae797, 0x68c8e70f, 0x35c30719, 0xc5503652,
+    0x6c3dc7c1, 0x90485730, 0x0b350141, 0x1ea75521, 0x39602fac, 0xef5b1316, 0x975d8230, 0x66288239,
+    0x0eec0711, 0x6a67597a, 0xc3622974, 0xebfcc4bb, 0xe48dc046, 0x1169c07f, 0x34c74c67, 0x54649e3e,
+    0x7a8f95de, 0x3d9c0ff5, 0xd791ce39, 0xc1d6bccc, 0x4825ba7d, 0x0bf5a4f1, 0xd38ec505, 0xad403573,
+    0x1e5f5e68, 0xddfa0f4e, 0x2cbb73b8, 0xa665ae4d, 0xa42e73cf, 0xf5e8bf53, 0xdfcdc9e0, 0x591373d8,
+    0x603e0c6a, 0xeee31a10, 0xa9e09df0, 0xbca38960, 0x1539f577, 0xd45de181, 0xe8485265, 0xb7be8e09,
+    0xfbcaeb2c, 0xf5def0c6, 0x291763f7, 0xb853ca76, 0x8c8d6785, 0x75a9a690, 0xd614975e, 0xbd2e3a84,
+    0x9cad3247, 0x08fc0973, 0x34376f95, 0x62373203, 0xc80a81b1, 0x1e892b1c, 0x87116999, 0xab7fb956,
+    0x212f6bc1, 0x591ed7a3, 0xadf16b03, 0x5c420963, 0x40f46504, 0x4d3fb116, 0xc8d19700, 0x416ce622,
+    0x20325f02, 0xdc6c43f6, 0xe5866651, 0x94404d31, 0x530e48b8, 0x8b99e362, 0x70458b53, 0xf18374ba,
+    0xd3227b4e, 0x384a8cc2, 0x2ba5c88d, 0x80ad96db, 0x955b45ae, 0x7cfb7889, 0x53a5f4d5, 0x976ac7a0,
+    0xf492dc9f, 0x1582f7a4, 0xd7083a39, 0x52c7243e, 0x2d9febd6, 0x4cdc82b2, 0x37539ddc, 0xf1aed20c,
+    0x942c9c1e, 0x9f2c16b4, 0x50f9a1ef, 0x498a51f0, 0x656e3474, 0x8187c9b3, 0xff4a4b86, 0xa336c7f0,
+    0x58ef6221, 0x452e621d, 0x13eb5daa, 0x7704f7ed, 0x3ca026aa, 0x24e2d0ea, 0x7df3f2c7, 0x102d853f,
+    0x85059de1, 0xa830e914, 0x352536a0, 0x15d33ec4, 0x18cbf632, 0x0714213a, 0x5a2a4db4, 0x72cf815e,
+    0xf4cc6225, 0xb103b1a2, 0xf394f40c, 0x1c4f3786, 0xb9c87c95, 0xb2cdcbc0, 0xf575aa29, 0x5581ba2e,
+    0x76d2e223, 0xe752dc09, 0xdaae4a3f, 0x24bac0de, 0x3ced58f2, 0x92bb3215, 0xfbac8d73, 0x540ca55d,
+    0x6c59d955, 0x5b31ae03, 0x08883b6b, 0x73fc6980, 0x13ec8791, 0xd92348a4, 0x2092f2da, 0xb19cb7bb,
+    0xaa8cd566, 0xe7e0c0c3, 0x09d58c32, 0xfe173c54, 0x1d226e8f, 0x38a53bf3, 0x9d05952c, 0xb7280863,
+    0x2f87e7e5, 0x5e92bd19, 0x9eab3a75, 0xb7d5fa92, 0x28da961e, 0xb9271d18, 0x672c1f2d, 0xd36b62f0,
+    0xdb582769, 0x40f2a5fe, 0xacd08e67, 0x122e1c42, 0x5a934624, 0x799a7708, 0xc4d0dc17, 0xb525b331,
+    0x6209dde8, 0x32649f86, 0x718f92c7, 0x2b5266d0, 0x211f98c7, 0x88e70128, 0x4da73bc6, 0xcd6518b2,
+    0xa4849a5b, 0x04b9eb16, 0xadb3e845, 0x5b1de7b5, 0x4706fbaf, 0xced58869, 0x83a493f7, 0xaa297985,
+    0x8813ad9b, 0x4818321f, 0xdfcd6ded, 0xa792bc75, 0x62bb58a3, 0xbfe41118, 0xf6d6a93e, 0x3a84c0d3,
+    0xe35a6507, 0x1cc13d7e, 0x2db285fe, 0x85a6e61a, 0x49b2a344, 0xa4231ae1, 0xd77d6547, 0x4e0ac9b5,
+    0x5518ae5d, 0xee0a9c07, 0xf61eab6a, 0xb691b519, 0x27c41efb, 0x1775d424, 0x49153a28, 0xa89df2db,
+    0x56eec627, 0x59315e6f, 0xfb561acd, 0x9314b422, 0x84450089, 0xe4348dc0, 0x23b1a527, 0x7a7c14dc,
+    0x15525316, 0x9b1762f8, 0x61a5bab4, 0xc432e49d, 0x633a8e27, 0x47714cbc, 0xae1e9a11, 0x83c868d0,
+    0x0620837c, 0x659e5595, 0x851d7a71, 0x477efed5, 0x102852a7, 0x49d6640a, 0x11bc75ef, 0x4a637bf8,
+    0xff563c19, 0xed4a4c74, 0xbe4c5a37, 0xd2428539, 0x7d015f0b, 0x02ecbdc3, 0xf3ddd282, 0x2be12f3c,
+    0xa7fd3232, 0x058df3b5, 0x7005f291, 0xe7df6e59, 0x1f1be724, 0xf4c51f08, 0x7240ce7d, 0x0e85d5c1,
+    0x782c1f58, 0x6fcef95a, 0x1b53ea16, 0xf89c2ae8, 0xcb37eb6f, 0x456f436d, 0x802d95fe, 0x4d3dd259,
+    0x9ed4aaab, 0xe29bc8ad, 0x550be71c, 0x3ba6342f, 0x934a7278, 0x1311106e, 0xf7ef4268, 0xfb27d79c,
+    0x80fdb7d3, 0x8b96cf7f, 0x128a40b5, 0x10aa1380, 0x6e9be4f1, 0x59bbeaf3, 0x3a422674, 0x1e3c3fc0,
+    0xab2d46bd, 0xc85b2449, 0x1e1e8d09, 0x71d8c060, 0xffa6f162, 0x3fc63b8e, 0x77c67b2b, 0x8d6984dc,
+    0xf2503edf, 0x3facfaae, 0x54a70476, 0x46cdfe50, 0xd012dc8f, 0x39b76e9d, 0x93f37b3b, 0x924f94a0,
+    0xc610ba79, 0x5c9d549c, 0xa24c7505, 0x889ee6bf, 0x490a09d1, 0x19fcf8c6, 0x0422b3ac, 0xcd5fc246,
+    0x055f3717, 0x741d8aee, 0x174189a5, 0x5191c02c, 0xdcb434a7, 0x9b973368, 0x74f1e9ac, 0xd619b54c,
+    0x88c59357, 0xee13db26, 0x9631e4bc, 0x6b38df48, 0x1dbcadce, 0x02be239b, 0xd3f86fe6, 0x34d03c4d,
+    0xc24d2115, 0x0495c88e, 0xbfee0179, 0x496c32dc, 0x90ea015c, 0xaa7a72b3, 0x3010891e, 0x83001da6,
+    0x0d07d3ca, 0xebe4ebca, 0x6cc416f6, 0xb2c817e1, 0x333c2297, 0xb5bf9c18, 0x1a54b2c1, 0x11da46cf,
+    0x40ee7731, 0xf6eaaff3, 0xa6de2178, 0x700c7769, 0x37f9c535, 0xf553ab1f, 0x6397f2e6, 0x351bfc34,
+    0x93841574, 0x3954743c, 0xb148aa4d, 0x1370a612, 0xd880ebf3, 0x9c6ccb9d, 0x1bfec5cf, 0x1831016e,
+    0x8ff2c965, 0x6dfaff58, 0xd86b09f9, 0x65916328, 0xeda75d06, 0xf3b5ae54, 0xd86215e4, 0x6e526a1f,
+    0x0c87852d, 0x383b91ee, 0xfc1bdbb0, 0xbc0d9eb3, 0xc4a888ff, 0xbd6ed71f, 0x88052394, 0x8bd6715f,
+    0x88657abd, 0xae43e033, 0xa8bb4519, 0x507c0cdd, 0xf9d70b38, 0x82b9cc8c, 0x9f8bbf82, 0x930ba7ff,
+    0x2751c82b, 0xa5940309, 0x64b2e00c, 0x61727fae, 0xd9d2e544, 0x6071cf70, 0xc05382a4, 0x88902925,
+    0xa3f0c511, 0x463f55ec, 0x118c234f, 0xa0237850, 0x2536e8f3, 0x761908b8, 0x4837b73a, 0x60240557,
+    0xb61cfb9a, 0x21001797, 0x88dde698, 0xbca8f9d6, 0x8aab5030, 0x0dc8755e, 0xbed436ce, 0xfebc51bd,
+    0xb2d90509, 0x95d5ff45, 0x9bcbc2ab, 0x7a609852, 0x820a0de5, 0xeb356901, 0x7c9a5044, 0x668dea55,
+    0x0e50f013, 0x786b8d98, 0x88230c73, 0xdadffd7e, 0x260a923f, 0xf6321acd, 0xefee38a1, 0xa6d8aee4,
+    0x1846e265, 0x4784f90f, 0x9a26bda2, 0x38003d38, 0xacdbd96d, 0x2d43e9e8, 0x6638462a, 0xef1569f6,
+    0x9ac5a149, 0xb3040113, 0x3bfd02b6, 0x3340c03e, 0x4f8ec1f0, 0x7533c53a, 0x1c40ea82, 0xac101394,
+    0x37e135dd, 0x0fd883d7, 0xe860644a, 0xf8369816, 0x6e8ebfff, 0xd7c41175, 0xad8afecb, 0xef63299e,
+    0x299f43d9, 0xf40b414a, 0x290dcc75, 0x34e4b95b, 0x177ead09, 0xb6c72f9b, 0x486c810c, 0x32b79bed,
+    0x055e90a6, 0xb022a454, 0xe174ef2f, 0xf8b5eba7, 0x61d4a761, 0x80f2d0f4, 0x9e99ccd3, 0x02a00500,
+    0xea2a0160, 0x22c68eb6, 0x08893495, 0x926864f7, 0x5ce91905, 0x8a2e3533, 0xd2669ef5, 0xc5cbceae,
+    0x59b63316, 0x0fe65f02, 0xd7eb84f2, 0xe0c16558, 0x6decd8f7, 0x885e451d, 0xb0a836c5, 0x2b91a10f,
+    0x7f64336d, 0xe357e204, 0x5e9a8386, 0xa503ede9, 0x7c7d327d, 0x4855b31d, 0x18b6a8aa, 0xc98f2569,
+    0xa38c62ea, 0x9006a6e5, 0xfd4f3f7b, 0x212ca09d, 0xf3d53c25, 0x02e34a2e, 0x68bff6d3, 0xc611e91f,
+    0xad852bf0, 0x097baac0, 0x74e31bd3, 0x1dbd6655, 0x4ea96a8e, 0x16eeb89a, 0x87908cae, 0xc5617542,
+    0xcdf6a814, 0xa99d219b, 0x95b306a3, 0x6d9e5ed6, 0x344934d0, 0xd139bfa5, 0x9d449534, 0x2f9bffdf,
+    0x07c07771, 0xd67752a1, 0x1d0df22a, 0x31804e00, 0x5034a2ca, 0xd2c09b9a, 0x37d1498c, 0xd64e1ce5,
+    0x5067ee6a, 0xa23751e5, 0x06c42636, 0x13196d19, 0x458f7c46, 0xfab4c755, 0xc9cd00cc, 0xd03b5207,
+    0x7dc7e915, 0x75fafa98, 0x70e58ed3, 0xa2f29f1d, 0x5d060d3e, 0x1fa0a49d, 0x0d2bf6c1, 0x31b5ee2f,
+    0x2e2b14e4, 0xe24d663d, 0x5086f91d, 0x1a04c62c, 0x6203abc5, 0x447750fa, 0x2fbba121, 0x6117a163,
+    0xca4db75e, 0xefe2f41b, 0xcb4f9cf1, 0x04c40a06, 0x260d8c46, 0x8e364ddc, 0xe6cf0868, 0xcd8b06a1,
+    0xc9431e11, 0x46d2d4b7, 0x9c3dc444, 0x88b63303, 0x7e2b6b8e, 0x23a2fb45, 0xb2d4e2d7, 0xdb4dbc69,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000021359870359209100823\
+                         95021706169552114602704522356652769947041607822219725780640550022962086936576 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc,
+    0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5901, 0x05cf0b3a, 0x0cca1fbd, 0x3baa3e73,
+    0x00000000,
+    0xb3356941, 0x4b7992b6, 0x09e6cc6f, 0x19b63a35, 0xe7a013f5, 0x64e2bfd8, 0x1d6d1a65, 0x723997c8,
+    0x33d31902, 0x452997b8, 0x6f68b42d, 0x5c0a4a73, 0x190fb6aa, 0x5a53af22, 0xa214598b, 0xdadde009,
+    0xf9c18f7d, 0x30c59703, 0xfff19463, 0x7b3d21ca, 0xe1bd5b6b, 0x063ae58b, 0x9a4867f0, 0x66e953cc,
+    0xaab64b87, 0xd1ae32f4, 0xa393adcc, 0xa4463bcc, 0xf1560fb7, 0x0dbb6cac, 0xb00f2441, 0xf474569a,
+    0xbe3e195c, 0x33211c6a, 0xbd1e763e, 0x48203b37, 0xd5929560, 0xcb75dbbb, 0x3531d8a6, 0xc4228f64,
+    0x19bf0c5c, 0x16a34ddd, 0xbc51c920, 0x848d6fd8, 0xdc533b69, 0x6109f4df, 0x07db00d4, 0xbfda30b0,
+    0x60690838, 0x891d6d01, 0x5252dc5b, 0xc4489463, 0x0438c68d, 0x37dbc479, 0x6b54d735, 0x0a2a178d,
+    0xaa380ef3, 0xfd273066, 0x2aae447b, 0x75a8d488, 0xeb5c5c93, 0xc33273a7, 0xbe1b9b47, 0x6a2464a7,
+    0xed60506b, 0x8c325719, 0x85bb3e38, 0x99ddfc69, 0xb6559480, 0xbc7951ba, 0xeed5c9a9, 0x49549e33,
+    0xb18fa891, 0xa76dadee, 0x3229efb0, 0x354819b1, 0x788d3131, 0x78aa327a, 0x485a26e6, 0xe9cc29b2,
+    0x92f54de2, 0xdc2b95d2, 0x333cd1f9, 0x23c46ea8, 0xbad86b0b, 0xbf1d767f, 0x1a6688ee, 0x8484c8d1,
+    0x975078cc, 0x7257b8c6, 0xf64de0cc, 0x4f9b929f, 0xa16bf6dd, 0xe565d597, 0x467ea075, 0x76965efc,
+    0x13ff900f, 0x9fe4692c, 0x37d42aaa, 0x49a3335e, 0x145e16bc, 0x90554470, 0xcc5c53a9, 0xa97a03f0,
+    0xa27d696b, 0x09d92d1b, 0x3e28cd9e, 0xa5d1efdc, 0x4ea3e00b, 0xfd4256b1, 0x321f781a, 0xcd4f583a,
+    0x445fa1c1, 0xa6fb3d24, 0x6e7862ae, 0x8808e439, 0x54dd518e, 0xf56e738f, 0x526a4685, 0x1644cab3,
+    0x21f12b02, 0xe06d7de3, 0xa9d6e774, 0x2c9952bc, 0xdfecf189, 0x471e38aa, 0x37932578, 0x15c9d547,
+    0xefb69090, 0x49d2aaca, 0x7b9ea42f, 0x7d0c2646, 0x48cc3523, 0x52b14c3c, 0x67732366, 0xe4890531,
+    0xe7edab70, 0xb8a6d877, 0x20beacfd, 0x72b23fe7, 0x1a16aebc, 0xa926804d, 0xe730ac26, 0x6cbf3df5,
+    0x31ed3e7f, 0x074ca4b5, 0x8ed5e0fa, 0x5c029f7f, 0xa9add4d1, 0x745eebb5, 0xa4b06e97, 0xba63f0e0,
+    0xd88c43db, 0xfdf58df0, 0x35c7f76d, 0xdf86d7b7, 0xd14ce137, 0x05923ce4, 0x75660ea2, 0xd3a73ab1,
+    0x52d09206, 0xb53a1de2, 0xc6c903f6, 0x8e0be46d, 0xd4cb04f1, 0x33f8cbd6, 0x074e618a, 0x63cfc413,
+    0x2509fcb6, 0x7ddb6de6, 0x8e3245e0, 0x061f1405, 0x6012535f, 0x9c083ea1, 0x7e309c9f, 0x6bef0fbf,
+    0x34be2edf, 0xf283d512, 0xa1c0cec2, 0x267a2301, 0x8c079cde, 0x6d090fe4, 0x0b2aa83e, 0xd76d2ce6,
+    0xd299e1d1, 0x52b9caaa, 0x598fde13, 0xebac8574, 0x8e6bd1fa, 0x6f459baa, 0xb11a65c1, 0xd9d1dd38,
+    0x039314b4, 0x367d896d, 0x8bf68f36, 0x162dca1e, 0x6fad1534, 0xdd17929b, 0x6f9ed049, 0xcb25dd1d,
+    0x319dab74, 0x06ae1be1, 0xb15d4f40, 0xc6ce4465, 0xb786980e, 0xdaa9a334, 0x76303775, 0xd138ba41,
+    0xa20b1cca, 0xb5e02716, 0x1982155b, 0x2daae3ec, 0x4e8a7778, 0x837a0fd5, 0xdb836174, 0x1ee76076,
+    0xbfe8e9fe, 0x8003b0ea, 0x38e65706, 0xf838d523, 0x3b11c197, 0x2f901e13, 0x90be3161, 0xfe54ab5b,
+    0xcae41b09, 0xe6ff2b0f, 0xe352b6f8, 0x0010fa99, 0x5b507cc3, 0x1a1b1cfb, 0x73ee602a, 0x394b2515,
+    0x6c66a91a, 0x38bd3969, 0xb0121842, 0x3a6f35b6, 0x65fdc2e1, 0x460aba17, 0x1135ad0e, 0xc04ecff7,
+    0x1d3e0c82, 0x26fbfd9a, 0x0b3fa6bf, 0x6a9dc984, 0x5df3a1b6, 0x6d72d6b5, 0x41397496, 0xa2a5a806,
+    0x4266c2b0, 0x513f17cc, 0x463fb73a, 0xd9063955, 0x70b5cba2, 0xc50b88ce, 0x6e136db6, 0x5d675be2,
+    0x5f4adac2, 0xc0a8563d, 0x369c5be1, 0xb5966386, 0xd77a3318, 0xf339b5c7, 0x1da14931, 0xdf096371,
+    0x634c98f9, 0xdabae7e0, 0x2d813810, 0x6a3b0e2d, 0x84490611, 0x4cc436f4, 0xc89bd266, 0xc5075cad,
+    0x3808977a, 0xd7b2a68b, 0xee8fb1ae, 0x7fb15696, 0x4ff7a112, 0x2e811daa, 0xf442a2e8, 0xf4541b9f,
+    0xdb679fcf, 0x586feb2c, 0x42902e39, 0x7edd5882, 0x409e776c, 0xfa152d52, 0x6b5d5127, 0x17325942,
+    0xb3988e4c, 0xbbe54457, 0x0a12ed06, 0x00556792, 0x7fab4a3a, 0x74d9112d, 0xa6d00649, 0x7436c902,
+    0x72358dcd, 0x7428ed3a, 0x2cb4eebe, 0x77ce31c1, 0xafa2ea10, 0xac1316ba, 0xee8ce47c, 0xa615da2d,
+    0xd0a3444c, 0x9a329968, 0x226a67f1, 0x96574986, 0xbf4d29a0, 0xa1d11918, 0x22bb9028, 0x0a4e1610,
+    0x8f79db63, 0x6df8a6cd, 0x0ffb9631, 0x30899b76, 0x447d6b6f, 0xb7637058, 0x5ff3b0da, 0x2c40bb0d,
+    0x0cbc4fb4, 0x5b64c572, 0xf5f0e013, 0x25980670, 0x857560f3, 0x32c55e39, 0xc8c226e7, 0x70f0b98c,
+    0xf556d542, 0x23aec170, 0x4af23c4e, 0xeb61824f, 0x61ba1332, 0xe5185172, 0xc3519606, 0x8a25d068,
+    0xcc39e2ac, 0x7bd8148b, 0xfcdd941e, 0xaf2ec545, 0xb0f27186, 0xc2da298d, 0x6e178e32, 0xf4a496c1,
+    0x130146b8, 0x8c5bd2f2, 0xb2d72543, 0xb25b7106, 0xf59b66cf, 0xc78625cb, 0x6e53821e, 0x691e49b7,
+    0x822009f9, 0xdd64579e, 0x9f2b9b52, 0x41301c37, 0xb6e5eeae, 0x20c5df32, 0x363200a5, 0x53d159a8,
+    0x00db1dda, 0x4bcf9306, 0x7a968d31, 0xdf44627c, 0x476b60b7, 0x20b0b0ba, 0xe73734c1, 0xf8614e24,
+    0xc0315150, 0xbf57330f, 0xe03475e4, 0x55d1013f, 0x9143c26e, 0xb0c6e2b6, 0xc07891e1, 0x3575a0c7,
+    0xdcf18ebb, 0x6c1352cb, 0xcc0e727e, 0x7c526dad, 0x05f67d28, 0xecd46197, 0x49592479, 0x9c109071,
+    0x335182ef, 0xdc83a0b9, 0xbb384643, 0x90b3c1a2, 0x242e6d47, 0x2b69e882, 0x6c09aecd, 0xf67d3c46,
+    0x4f96465d, 0xa16bcad3, 0x18777ce3, 0x6170daac, 0x908de546, 0x7db146e5, 0xfd256fa7, 0xb601c355,
+    0x570551ff, 0x01fc04b1, 0xa8719365, 0x4715b1ce, 0x7112fdb6, 0x77851e7d, 0xd04990e1, 0x14688c1f,
+    0x6e4c870a, 0xe19f277f, 0x664db91d, 0xbe8ebf6e, 0xe8d51619, 0x12069b5e, 0xe3052190, 0x9cc59bf8,
+    0x53bf8cd3, 0x6e0a0cac, 0x6dbd5141, 0xd84c3bb9, 0x927b6cdb, 0x343ad8ca, 0xdd30ee09, 0x97cfc223,
+    0x61e55d02, 0x13cb3d5f, 0xcee83081, 0x47e5ed35, 0x1aaa6648, 0x5e49d44a, 0x1f1406ee, 0x54db885d,
+    0xb101b1d9, 0x3ca74f78, 0x4caa495a, 0x827a1736, 0x13aa1aa1, 0x57fcc39d, 0xfecbaa57, 0xf2697d39,
+    0x25ce6129, 0xfd726620, 0x7e400642, 0x6bfc7b54, 0x1e591e72, 0xb5f1cc00, 0xcf055087, 0x8ae7ff3e,
+    0xe732ebeb, 0xcd164654, 0x1efbd2b1, 0x9756c91b, 0xdee8acf9, 0x1a1b8e46, 0x57ba2b32, 0x85070b64,
+    0x7407534d, 0xd095a7ce, 0xa7f1d868, 0x9883eb54, 0x0f6c0a4b, 0x8623c985, 0x41f66dfb, 0x9ac281bb,
+    0xb6e0de40, 0xaad5b992, 0xe09f756c, 0x62b0a30e, 0x88b208c1, 0xc1afa356, 0xac47aa47, 0x02923526,
+    0xb768b3be, 0xd936753a, 0x0198549f, 0xf6fa7692, 0x22c5960d, 0x3468dd3d, 0xa4f83b92, 0x2ea676a0,
+    0x06182cf5, 0x1b83e215, 0x32d42724, 0x6840fbd3, 0x951c74d0, 0x88e38931, 0xda5d3412, 0x403aa6dd,
+    0xf45a839b, 0x2440a717, 0x92d5288f, 0x47602a20, 0xe6f473b1, 0x0482ba5c, 0x55edcdda, 0x4f7de078,
+    0xf7acd0cb, 0x21fb5672, 0x55f00844, 0xb567adae, 0xccefcc3c, 0x757ddea4, 0xc4713766, 0x914b164f,
+    0x217ed52d, 0x32bb3b45, 0x7bc8e73a, 0x2b9ccb3a, 0x5d7eccfd, 0xa754824a, 0xad093850, 0x03d66a53,
+    0x63b4d9ff, 0x7dad57e5, 0xa8db97ab, 0x6e1180db, 0x31fd06bd, 0x31100d73, 0xcdeb1ced, 0x735b17fd,
+    0xfa905951, 0x87976ad4, 0x6add9361, 0x73ad4e0b, 0xa0c5b69c, 0xc39c7495, 0x56eb558f, 0xc4564507,
+    0x305a817e, 0x63971f37, 0x0dabba13, 0x2b5f758f, 0x8053ed02, 0xaf36e865, 0x13cc3739, 0xdb01833e,
+    0x51929882, 0x77582f4f, 0x6bc3a86e, 0x8874c093, 0xcc4e4477, 0xd2f6d177, 0x6eac3a7d, 0x44e8b2b3,
+    0xff40d14a, 0x6c203655, 0x46dc5123, 0xa8615976, 0x8275aca0, 0x6e89560c, 0xcc186f41, 0xcf475279,
+    0xb0d2ea2d, 0x91e3f543, 0x1522f0d0, 0x45c1f0ce, 0x00f1ecc2, 0x7065be68, 0x0d5c19ee, 0x8efa6b0b,
+    0x2f8d5a22, 0xf621d93c, 0x10a4db56, 0x5f4353e0, 0x9bf455d2, 0x84a2f154, 0x8c99949f, 0x4a4d5ce7,
+    0xe1965caf, 0xabf48e75, 0xcbde90e7, 0xfcbb7fec, 0xb2d8360a, 0xc5624895, 0xa31844c8, 0x399b3b7f,
+    0x4f0ad18d, 0x691b5b9c, 0x25702e0e, 0x4b2d2505, 0xeee54ddf, 0x69c9ca84, 0x157e6551, 0xaf2137a0,
+    0xa445a689, 0x04e8e4b4, 0x1a22d28c, 0x82a84150, 0xac25231c, 0x0490e500, 0x58f636c4, 0x6ad234e7,
+    0x278359af, 0x74176022, 0x3de5ff79, 0x7a47dd3c, 0x0669895b, 0x15889fdf, 0x1d0aaf7f, 0x74d7ee75,
+    0x7baaaeb0, 0x3c1f34a7, 0xaa1ec8bd, 0x78fcbcb2, 0xbe363bff, 0xb0bae1f9, 0xe82a193c, 0xbfb7335d,
+    0xcdbdc5b9, 0x163b276b, 0x437fa690, 0xd38d4b6f, 0x2bcac7ae, 0x8fd73fae, 0xb9879800, 0x9af5dd6d,
+    0x9fb9d0fb, 0xaa1671b0, 0xc8bb04a9, 0xf460a199, 0x7bc1a172, 0x8c1f697f, 0x90655500, 0xabbc7b98,
+    0xb1564209, 0xe23f715e, 0xd1aa05c7, 0x47d1abb0, 0x059a1f0f, 0xe4021c99, 0x1c7b9d87, 0x1763f3c2,
+    0x494f29e1, 0xa22bf5c6, 0xba572bdd, 0x75b3a55c, 0xdc221b87, 0xfa33d3cb, 0x7b6bb469, 0x42b7b615,
+    0x2ce0b680, 0x4d3d123f, 0x9df2a67e, 0xe731f960, 0x97182e2a, 0x8f772bc7, 0x8b51bd0a, 0x396f0709,
+    0x34be2bbb, 0x16efda31, 0x8ba29b68, 0xff4ae823, 0x9cb50848, 0x87a484f3, 0xb8307860, 0xa44ba73e,
+    0xe37dd6c5, 0x39e25025, 0xab99cde7, 0x1f5dd37d, 0xde5ce837, 0x8be805b6, 0xc7e022c7, 0x40bafffd,
+    0x5a004196, 0x7ba9f776, 0x9edb8cd4, 0xcda6ce31, 0x2d668637, 0x195bd7e7, 0x5fa64a1a, 0x2b97bdb3,
+    0xf4fe8ed8, 0x4ece91e1, 0xc1b00a84, 0x8f62b5e7, 0x9a38a736, 0x84fa2cbc, 0x358caefe, 0x8e4622a2,
+    0x577a19f9, 0x56be957d, 0x2cf85764, 0x92cf070a, 0xd9ea3012, 0x6865c8e5, 0x5eabde9d, 0xa11e64c8,
+    0x43ba9754, 0xf76e3e1f, 0x6e77b0bf, 0x06e682c1, 0xe9e528e0, 0x28d74ca3, 0x8b68453c, 0x112228d8,
+    0x32d5723d, 0x453e9876, 0x27d883d8, 0x11032ca3, 0x3884c90b, 0x5f1deeb9, 0x8c9f8dd8, 0x42a32d40,
+    0x767e1052, 0x92663b77, 0xe9e2faaf, 0x31a8c9ba, 0xefaac65e, 0xa5bc8c10, 0x2631f494, 0x3e49189b,
+    0x5d8a77fb, 0xc1f29d42, 0x4bdbf279, 0xf198db23, 0xce960f00, 0xa2e74ec1, 0xafe0b72d, 0xb6b6ed3f,
+    0xa9d7d074, 0xc3b4c431, 0x8a6ae7c6, 0x6367599d, 0xe18594e1, 0x33788a0a, 0xb214c644, 0xbefb3ef5,
+    0x43145e34, 0xc994a4ea, 0xde1edf60, 0x1c109948, 0x8a97df0a, 0xa9a0dfef, 0x2cdeafa6, 0x77d26c9d,
+    0x33721b12, 0x58e27e2a, 0x801f3ea0, 0xbd3ec697, 0x69be039f, 0x2f3009a4, 0xed62738a, 0xda00553f,
+    0x0f8d1ce6, 0x90ea05f7, 0x66f72c2b, 0x44af2098, 0x373c57dd, 0x790412ad, 0xc3799d5b, 0xb2c30e2e,
+    0xbc345cba, 0x487cbb4d, 0x8ee60a9f, 0x07de3d71, 0x69f2c62b, 0x0ef5003b, 0x2fa30542, 0x3927dfb9,
+    0xd6458cf2, 0xc74b0330, 0xb6e80ff9, 0x47f537a6, 0x733afa06, 0x1d56c9fc, 0x9fe0de6c, 0x957a5dcb,
+    0xb78c9467, 0xa43cd11b, 0x31774716, 0x40c7f69f, 0x8c4c1f64, 0xbcb394f0, 0x1a3c21bb, 0x3c6afa7e,
+    0x59d714b0, 0x55cdeadd, 0x3afa5fb6, 0xcad15902, 0x93eae197, 0x68ead5c6, 0xf709bac4, 0x443e7d2e,
+    0x22be6e2f, 0x3b703fa6, 0xe4a7dd40, 0xac5006a1, 0xb72737ba, 0xd13691e3, 0x6b506bce, 0x9f3bbcb8,
+    0x9c84a7bd, 0xe2c75503, 0x4af7eea1, 0xfc488593, 0xde06e6e2, 0xdc44a575, 0x0e67e47d, 0xdd97ef0f,
+    0x9b78df96, 0x5e193a50, 0xd73fff42, 0x7c578b23, 0x828c7bf6, 0xc60912d0, 0xd55c4a2f, 0x0d73e17a,
+    0xf4d63601, 0xb440b949, 0x067c39e8, 0xeb43d401, 0xdbf1e4ee, 0x37cc0cd6, 0xad432c87, 0x1e0b6dbc,
+    0xb8893f95, 0xaa2bf24d, 0x470cedd8, 0xf5261a5c, 0xc5ea79ae, 0xf46ff34f, 0x750b1a1a, 0xd84e4bbd,
+    0x439c3fc7, 0x074cd532, 0x9e9a80a1, 0x8af62560, 0x47ea2857, 0x5a6146b2, 0xfe2c1171, 0x00bed6c6,
+    0x26830ade, 0xd4f25ed9, 0x051c8576, 0x29acb042, 0xf338133a, 0x3f611a05, 0x042772a6, 0x99f5b109,
+    0xc31333aa, 0x4bb17919, 0x5a96838b, 0x76339d17, 0x7324b2cf, 0x92e9dda5, 0xd0c23963, 0xfa8593e6,
+    0xaf9f25c1, 0x334e0e2d, 0x88deece2, 0xe652c5a2, 0x4303c350, 0xa2ef0347, 0x61b175b4, 0x1f3f9835,
+    0x79172392, 0x1e3fb216, 0x9ed51a8b, 0x8324d31f, 0x312346bc, 0xe5377f98, 0xcdaed05a, 0xd806756b,
+    0x2e888696, 0x99fae473, 0x9cc6dde3, 0x99d9f770, 0xeb37ff41, 0xdda5fa16, 0xc8d54a42, 0xc648a792,
+    0x06f9ac7f, 0xe55d5ea4, 0x53d27760, 0x436d1b7e, 0x18212e2b, 0xc3fe87b8, 0x9d35739e, 0x1d0a22e2,
+    0x4f23356c, 0x01839e3d, 0x14858729, 0x95369db6, 0x01d16c39, 0x45770307, 0x7634f57f, 0x8630830f,
+    0x330d6ab7, 0xcb05d9aa, 0xf79ea301, 0x167072b0, 0x2d1be2a1, 0x363e722a, 0x0f6105ba, 0x4e7abec0,
+    0x03df6635, 0x2d52dec0, 0x6fcd29e6, 0xbd1757c6, 0x87d32a63, 0x9db779ac, 0x2a307a1b, 0xd07609cf,
+    0x21a3455f, 0x2e82ae5d, 0xaa4cce84, 0xff10845a, 0x708cef25, 0x883a9913, 0x98aba084, 0x0febe5b9,
+    0xa373df51, 0x33faffd7, 0x95486140, 0x7eec2660, 0x2cc2246f, 0x919b505f, 0xd10de47f, 0xb9721444,
+    0xbe3fe7a7, 0xb54a9c20, 0xa73cc702, 0x5744c927, 0xa57b8be5, 0xaa1303e2, 0x0445817f, 0xb22c0bb9,
+    0x09f685b1, 0x730272c5, 0x16ad81b1, 0xe39d2b6b, 0x4e0578ce, 0x02d81ed5, 0x0cf4e37e, 0x31390f8a,
+    0x42d84616, 0x51ba3af6, 0x473c9b8d, 0xaf840a7b, 0x3d21da89, 0x33b69062, 0x846a69e9, 0x918330b2,
+    0x48c23e84, 0x964b925e, 0xdb31fa98, 0x936bbf96, 0x16075337, 0xe90399db, 0xc531ad20, 0x825dae79,
+    0x2de2952d, 0x52aefe60, 0x5d6a1834, 0xfae4fe41, 0x0147b009, 0x1cf3de8b, 0x8a3b3c26, 0x4d328ee9,
+    0x4641d7d6, 0x026a029b, 0xa2a354b5, 0x932c0bab, 0x88c76762, 0x3aa0d100, 0xd5945f1a, 0x8da904ca,
+    0xba6ffd04, 0x0f687fd2, 0xeb5a1187, 0xd11e4f6a, 0x0981167d, 0x01f8191d, 0x0fc71f9f, 0xf6060d3e,
+    0xbde1116c, 0xfec5381e, 0x27a24d34, 0x122ffcab, 0xdf027180, 0xc3526392, 0x6ab971ab, 0x01f87443,
+    0x01a44f91, 0x6ee1d1d6, 0xc3d75197, 0x73112fa0, 0x40c3b078, 0xe1de5ca4, 0x8d7cf519, 0x1142a904,
+    0x64e04c6f, 0xc643dc23, 0xad8e6569, 0xd41f6cf2, 0x5d3f1180, 0xfd9cdf37, 0x96f34899, 0x80812302,
+    0x37db4f32, 0xe549af0f, 0x0a9fbc30, 0x4751651c, 0x83404653, 0x7177a25e, 0x18e79100, 0x207a203b,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000010679935179604550411\
+                         97510853084776057301352261178326384973520803911109862890320275011481043468288 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe,
+    0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac80, 0x82e7859d, 0x06650fde, 0x9dd51f39,
+    0x00000000,
+    0x97748e09, 0xd902b536, 0xf0b8c37d, 0x786a3b48, 0x6c972211, 0xc01dd1cb, 0x0b7b76b9, 0xae7ab4a1,
+    0xc2e3f1ec, 0x7028f994, 0xe965a9ef, 0x6c183a6d, 0x78cdac70, 0x39a7595b, 0x8ad2c887, 0xb857b50e,
+    0x749ac07f, 0x0f33a8cb, 0xe6da343f, 0xa1a228cd, 0xc71d90bb, 0xe3809f47, 0xcf0512db, 0x0a5efc51,
+    0x8f12adfd, 0xf58d1a1f, 0xa3635c99, 0x4374c3a1, 0xc5bf31a9, 0xc81f61a4, 0x13a29621, 0x23a7d79d,
+    0x8dc8cfa7, 0x5b90c432, 0x3e6a98c2, 0x7f2e899d, 0x93ca0246, 0x0d6aca72, 0x872a4b20, 0xd305608b,
+    0x7d990c44, 0xe1551998, 0x48158b5e, 0xd72afaf1, 0x0d6ccb6b, 0x552f9f74, 0x3b4a035e, 0x8b5f9614,
+    0x63071a50, 0x97882a83, 0x84371f15, 0x69f55a30, 0xc716be4d, 0x6540ffdc, 0x9fd584f0, 0xafc22160,
+    0x58b78c56, 0xa3af4147, 0xac73f52a, 0x706b815b, 0x2d097492, 0x4aa8be8e, 0xa756d919, 0xa3cf0395,
+    0xf2b8fb37, 0x76be3f78, 0xa596c0ef, 0xe38d14f1, 0xcf957279, 0x23bdf35f, 0xe336b08b, 0x8025bf5a,
+    0x4d469f5c, 0x07593ef5, 0xde4b4aa9, 0xf1609b38, 0x24b7e5e5, 0xfe455152, 0xd540bb9e, 0xe55caa8f,
+    0x167b6cc9, 0xab975b90, 0x7d936b6a, 0x10ae600a, 0x42c52430, 0x19e5a703, 0xdceadea5, 0x6184b9a5,
+    0x489311c4, 0xa914d7f1, 0x5dbd988c, 0xb3ba337b, 0x00292647, 0x1125e663, 0x023d1ea8, 0x96b42681,
+    0xa6968280, 0x06029197, 0xdb4d6500, 0xb28e5b80, 0x9a9688b3, 0x78c16ad3, 0x974bccf5, 0x0ceab526,
+    0xb5dce04e, 0x15e94760, 0x73778a01, 0x5ef2fb4b, 0x11888fe4, 0xaf625be8, 0x0f15f805, 0xbc2477ca,
+    0x20dafe35, 0x4f7767e1, 0x41b44f8f, 0xcefecdd8, 0x13a40f8f, 0x3988a7b3, 0x863db5ca, 0x9962bcc2,
+    0x8d4b9684, 0x7ccdc54e, 0x34535d35, 0x9b3e288f, 0xf43a39f8, 0x1d19ef05, 0xc08c59f0, 0x3fc329ec,
+    0xa125b181, 0x7b0a5722, 0xabfa811f, 0x9882eb8d, 0x47fa0df5, 0xec92573b, 0x79c9745d, 0x03e6135c,
+    0xc660e362, 0x69cc5d63, 0xd76ad2a0, 0xc0debe49, 0x0833a344, 0xf8f10d1c, 0xb2808c8a, 0x01b6f891,
+    0xcbfa408e, 0x704b5f30, 0xb14c81eb, 0x33608eea, 0xb9e56f97, 0xdd01929c, 0x29fbfd65, 0x14073568,
+    0x9eecfbcb, 0x9b05214e, 0xe87ea049, 0x5de43445, 0x59908357, 0x893388ef, 0x0e81e7fc, 0x81aadab0,
+    0x13491fce, 0xa8274290, 0xe8c38536, 0x6866d971, 0xc0f545c6, 0xf1e255c0, 0x4d5e615b, 0x5afb2272,
+    0x70e73fd9, 0x35241642, 0x6117fa50, 0x96703fb9, 0xd5c62e66, 0x5de57596, 0xc48ac116, 0xb8843780,
+    0x7d89e090, 0x6eef2d0f, 0x0a37a36f, 0x9021a836, 0x6c03c510, 0xe8282889, 0xbada2597, 0x297d18a2,
+    0xfd253c40, 0x5412a81e, 0xec3733b6, 0x15a4da7a, 0xe78bcc1a, 0x19d3b197, 0xefbcd58e, 0xf955f8f7,
+    0x6887e818, 0x21dd7ba7, 0x738fe61f, 0x48b3b383, 0x342e84fe, 0x1c2e8f51, 0x24179453, 0x822446e5,
+    0x168efe99, 0x45e71275, 0xebe51f92, 0x6a494b24, 0x36618062, 0x3d9d201c, 0x40de4d00, 0x761220bd,
+    0x061a9609, 0x680ce0fa, 0x7aff6af6, 0x9fa7b891, 0xd1240594, 0xbfe11627, 0x3b45c75f, 0x1292b99c,
+    0xd2b6d97e, 0xca7a39bc, 0x2f96dde6, 0x6ea3b4cf, 0x9b791dcb, 0xaaed0d2f, 0x7c85057d, 0x1b087883,
+    0x688a03e0, 0xfc3053d0, 0x39d5d584, 0xc3979d10, 0x857045a1, 0x2bfa6c34, 0x8d48592d, 0x0b22df15,
+    0x29e51c61, 0xb8bceb0d, 0x6e32cec0, 0x5374f66a, 0x96da878d, 0xa98946d4, 0x03141f95, 0xc85edf71,
+    0x50e12379, 0xb630db6f, 0xf13d8231, 0x38d9afff, 0xbbcee2fb, 0x3785379b, 0xd961d008, 0x40d6b616,
+    0xdbfa9a3c, 0xf72473c2, 0xb7522f0f, 0x201bc031, 0x4cf18159, 0xa6b3fcc0, 0x85db44ee, 0xcfb2c20f,
+    0xdf251d1d, 0xd114c8ee, 0x43d95d63, 0xb89eeb5a, 0x926071cb, 0x4cc01a57, 0xed757f72, 0x2fc9102d,
+    0x74b53497, 0x9b4bbbce, 0xb3b2c5a0, 0x1a7ddbce, 0x9039fd36, 0x7ff39bd9, 0x2a0c661b, 0x343f05a1,
+    0x1a24425c, 0x0b84f070, 0xa0be21ec, 0x48243f78, 0x691175cd, 0xede04f0a, 0x67078bc6, 0xb2264930,
+    0x78964436, 0x36bfd571, 0x0220f9c5, 0xe786fbe3, 0xd072b47c, 0x45d32b39, 0x56da78ea, 0x696ef8f3,
+    0xd43cf326, 0xf3b65a22, 0xb32b4b82, 0x0abace25, 0x01682f94, 0xdb47a3d4, 0x04a81d2f, 0x7c39b059,
+    0x8d34c2a5, 0x8c16c6d6, 0xfd89db3a, 0x3ff32570, 0x8b55bf6e, 0xf6e314d0, 0x7ff0f941, 0x3f093dab,
+    0x38cc9ebb, 0xf8f8fdcc, 0x72a8c8bd, 0xca528a03, 0xabf07078, 0x1c485100, 0x75d2d2c1, 0x6c2e1c76,
+    0xb8b0c6f7, 0x2582f5bb, 0xdcf06511, 0xd4c078e9, 0xdc7b6585, 0xbbe8e426, 0x72e0f822, 0x2101ced8,
+    0xe5d4ef9c, 0xc7cf8b4a, 0x98586880, 0x777a60de, 0x04fdf7e5, 0xc3c6ea75, 0x7dcdd447, 0x4612cdb6,
+    0x4e55f4c4, 0xd2d715c7, 0xcdc7d829, 0x9b7d6c18, 0xe653b541, 0xcee360e0, 0xbaf7855c, 0x5500f277,
+    0xe0c75617, 0xfa564c6f, 0xda53a742, 0x813474d9, 0xe5b0bae0, 0xb689a710, 0x2bc6d4d2, 0xa69d5bf9,
+    0xae3ae72d, 0x39377405, 0x1ae582ea, 0x568f236b, 0x5c7a5ee8, 0x760efb48, 0x320bd57d, 0xb819f22c,
+    0xa20fbf77, 0xb039f844, 0x227425e0, 0x6c2b0eb4, 0xef49cf48, 0x2137f327, 0x9b6be006, 0x3b55b54e,
+    0x2c05cb0b, 0x593cfa96, 0x598ec01f, 0x22f0a61e, 0x16e8a944, 0x2befb267, 0xe3b27fcb, 0x98dcc0d4,
+    0xb95ecfb5, 0x6a3d2b9b, 0x2f6715dc, 0xaf33e8d8, 0x1560e871, 0x725f0abe, 0xe8d06373, 0x39028c73,
+    0xfda849be, 0x9a4f5975, 0x1e660174, 0xd1f4571a, 0xe771b176, 0x2751ce3c, 0xed429d14, 0x8c5147c8,
+    0x77d0e830, 0x49902325, 0x91044978, 0x547843fc, 0xf892c650, 0x364b9040, 0x7603b887, 0xa93614a1,
+    0xc043fd42, 0x262e0c20, 0xbb6921c1, 0x9331c669, 0x5b7e9653, 0xe92961db, 0x190b1a98, 0xbfc0fc98,
+    0x2b7efde5, 0xbf6cbb00, 0x624d7f63, 0x401ae6bb, 0xb9ae5eba, 0x98c7cc89, 0xe9741aca, 0x08ee0fed,
+    0x5b1a66e9, 0x816b2384, 0x161af066, 0x1c736896, 0xa67b26ec, 0xa713d699, 0xdeca126c, 0x2ebfc614,
+    0xb6f52396, 0xc475a214, 0xd4bc65d4, 0xf0213f2a, 0xe9c472ba, 0x31d6c15f, 0x4401c58a, 0x50a037b6,
+    0x4800b07c, 0x7272ed5a, 0x3e002860, 0x5c32e9bb, 0x22992a1a, 0xdb44bdc4, 0x32f797f4, 0xde50c404,
+    0xb976037c, 0x2a432833, 0x3542501e, 0x6dadca6b, 0x29a24fe4, 0x9c3f232d, 0x9261b6f9, 0xaf84fac8,
+    0x084e2005, 0x4d56fdda, 0x102d359a, 0xc07459d2, 0x1d1f15b7, 0x6cbc4acf, 0x9c17b1e0, 0x474a42ba,
+    0xc0f29c52, 0x9db250eb, 0x99f21549, 0x03c91206, 0x273f4599, 0xa8719cf7, 0xa5fd0991, 0x6e58c216,
+    0x4218d897, 0x6cc96ad6, 0x8f231294, 0xd487b1bd, 0xa20a7851, 0x27576b0c, 0x426ec2c3, 0x001841c6,
+    0xc454ec02, 0xd2532048, 0xcbef4d0d, 0x7f7fde8b, 0x8dbc51e2, 0xe59b6dcb, 0x9967c003, 0xbc64586f,
+    0x9c8be2ec, 0x213a0225, 0xcf775c17, 0x339ccd9a, 0xbcc0dc15, 0xddefcc2b, 0xac89cfa2, 0xc1e1d900,
+    0x97a10f72, 0x9fa261cb, 0x5db5a2c4, 0xc75b7110, 0x3f43e4d3, 0x241a220b, 0x9649d7cf, 0x3a545746,
+    0x50f74f1b, 0x2ecc87d5, 0x411d0c0a, 0x27d4f5da, 0x4e41715e, 0x9507aea1, 0xb08f02e3, 0xb9f1758f,
+    0x9f08305a, 0xc12e691b, 0xda84e2b3, 0x7ff1ad35, 0x47d1095a, 0x1b888217, 0x893a44e0, 0x0ca1412c,
+    0xfa378a5d, 0x5c64af23, 0xe0cfe75b, 0xdecc347f, 0x1866ff6b, 0x560a6de4, 0xb98b4865, 0x47ecfd98,
+    0x7208e57d, 0xd8fb2b8b, 0xdea9b69e, 0x9f294d8d, 0xa93e042b, 0x2b68b7cf, 0xe05c00d7, 0xa3c4edb6,
+    0xa026d63e, 0xc3416055, 0x9e7a598e, 0xeefdfb82, 0xd6608afd, 0x774e8b84, 0x5bc98654, 0x5cc511dd,
+    0x26e85ad2, 0xefad4d3a, 0x5cc70dc7, 0x8cd9d815, 0xe3af71e3, 0xbf38f332, 0x1cf0783f, 0xdef384b1,
+    0xab268b63, 0x04f3d491, 0x993218f0, 0x1b0513d7, 0x6eb57040, 0xbda37d33, 0xd8024ac5, 0x58c76c6a,
+    0xf46926d6, 0x6b8bd8c6, 0xb064c0fb, 0xa1bb6873, 0xfdccab6d, 0x538bd433, 0x5556d3f3, 0x1918c748,
+    0xfaac74d6, 0x0a78201c, 0x60d003be, 0xc38f2372, 0x8d9445d7, 0xb3bd9a7a, 0xf254b292, 0x2b4da995,
+    0xf46e777c, 0x3bc0bd6c, 0x08371245, 0x4ae01f4e, 0xf61acec3, 0x46ed7ab0, 0xec3d03e0, 0x6d40578d,
+    0xe73e4742, 0xf9445218, 0x93afb00e, 0x8771fb91, 0x3d6fb58a, 0x9591d0fe, 0x8e068427, 0x3872c7b7,
+    0x6adba552, 0x3dbac399, 0xd83cf671, 0x7b6c234c, 0xccdcfc09, 0xd90c8750, 0x08fde7db, 0x95d6d836,
+    0x5b9159e6, 0xe4a421b8, 0x37b68bbf, 0x6a91492f, 0xb2200d93, 0x5c7853c0, 0xa822a449, 0xdeadcfe0,
+    0x228c9fba, 0xc2077ddf, 0x82622803, 0x6c59f199, 0xddedd776, 0x53a170fe, 0xced04ec2, 0x26cc195d,
+    0xaa0917ae, 0x11c7ae80, 0x1c047bb0, 0xbd939837, 0xb1bc1f30, 0x8a2f500d, 0x76f15d86, 0x11f4db0d,
+    0xd931c345, 0x33b453e4, 0x5634f8f2, 0x25fe1aec, 0x230114b3, 0x3ad75214, 0xe963d6f1, 0x2b689185,
+    0x887ec602, 0x3698df6c, 0xacc17d59, 0x7d0d053c, 0x17df8104, 0x4ef7d664, 0x68bf5b58, 0xe800d093,
+    0x8c39f689, 0x0633a7a0, 0x3a1679f0, 0xf6ecdd35, 0x4ca3184c, 0x741a929c, 0xdad3d2c3, 0x0d366e91,
+    0xc4acd1b2, 0x007f2f0e, 0x5d5fb232, 0x540345d1, 0x2d1afa10, 0x6af83f95, 0x1705f4b8, 0xe9e432e0,
+    0xca4b34b6, 0xacdba8a9, 0x15b65ab8, 0xac4f508d, 0xaf16d2a2, 0x7ef5f1b4, 0x4816597e, 0xdf7e8eab,
+    0x112264a2, 0xad1a370a, 0x4eeaca1f, 0x75a8b8d7, 0xe9590266, 0x77c6e330, 0xd042406a, 0x44a86f70,
+    0xe8fb165f, 0x020d126e, 0x700aa7be, 0x815b6b92, 0x4c9ebf8b, 0x755b42b3, 0xa5981cc7, 0x3ab6c181,
+    0x58d338ac, 0x0bb25c64, 0xf8c1a796, 0x1aa72fef, 0xfdf8fac9, 0x7c69d8d8, 0x50227715, 0x80588910,
+    0x500fbad5, 0x3fb8704d, 0x0d2168b9, 0x7d3c1f3c, 0xaffd7060, 0x8afa97a1, 0xc405cbe8, 0x1d547992,
+    0x0a592b00, 0x2b6afb85, 0x69009477, 0x8c6f8ec3, 0xd5e85787, 0x70ed9e98, 0xa1858178, 0xafde4d42,
+    0x6080c415, 0x1608b2ee, 0x1e22833a, 0x794c8f60, 0x08230392, 0xb0b9732f, 0xbb858277, 0x8f3b82bb,
+    0xc114986e, 0x044d34f4, 0xe765c175, 0x99252861, 0x24f50abf, 0x6df70aff, 0xa7051e9e, 0xad98194e,
+    0x6e8aaa18, 0x0c264581, 0x579fb65a, 0x75e79931, 0x36206fbc, 0xc1f06d68, 0x5e3ea2b8, 0x669ac3aa,
+    0x51c2d3ee, 0xc9fa4e87, 0xa0b26ecb, 0xbc761a27, 0xdc4a61ec, 0xcd881f09, 0x6a1b5d53, 0x4e512a1d,
+    0x2d1dcb8f, 0x2713d926, 0xcf116a0c, 0xf4c06edd, 0xec852a54, 0xdb42dfda, 0x89583eb6, 0x9146cc78,
+    0xa2c97705, 0xf5ecbcba, 0xcfaa4e6a, 0xbf301ef7, 0xe3e34008, 0xfd1ff67f, 0x2af8eb24, 0x6009c569,
+    0xd5b89aae, 0x4a2f802e, 0xdbca487f, 0xdf36c34b, 0x64962956, 0x4de190a5, 0x6e64adc2, 0x8855c80e,
+    0x899911eb, 0x1ee8fda8, 0x3535af78, 0x319b6b16, 0xb8187371, 0x7d3cfd3f, 0xeb877a16, 0x3dc2b9ca,
+    0xdefecf2f, 0x9aa87ca6, 0x6df56af0, 0x040275d5, 0x65a50e47, 0xf9c3664a, 0x4554330d, 0xa3881916,
+    0xe68d90b3, 0xcb257585, 0x15fcd6d0, 0x98c16b05, 0x45f17631, 0xf9683a84, 0x25b13622, 0x552893f6,
+    0xc27d4c62, 0x3d688a3e, 0xdcb78d58, 0xa361c769, 0xe984aad5, 0x09d36850, 0x9a7448b1, 0xd240b83d,
+    0xc492f326, 0xf92eda18, 0xb8eebe6e, 0xad842312, 0x2d264867, 0x3a85c6d9, 0xbd352125, 0xd8674071,
+    0x7191e0fe, 0x9160b438, 0xf697da74, 0x3ebcba2e, 0x2b6df37c, 0x34512b01, 0x18e5d4c9, 0x9c04eea6,
+    0x7b15d536, 0x16672f0f, 0xa0cb0d7b, 0x586b7bdb, 0x19500066, 0x8f692da0, 0x75a227d6, 0x314cd5f1,
+    0x7e2d0c3a, 0x72dd59a6, 0x0a732c08, 0xf5db8528, 0x885fbb29, 0x945000af, 0xdd546bd6, 0xcf0bd2ee,
+    0x8de7a53a, 0x61aa6d00, 0x515b1aa8, 0xc0972f37, 0x622e9d1e, 0xe74b6eda, 0xec28a1da, 0x48077a3c,
+    0x4d7a55c2, 0x9ed7a74f, 0x07c4de7a, 0x56d34657, 0x300351c9, 0xbc5ada2d, 0x47cab266, 0x9f92e669,
+    0xed1908ab, 0xb839e972, 0xa74ae1e3, 0x15efc4f9, 0x86264739, 0x2140fcda, 0x3023cb21, 0x173a2deb,
+    0x391492be, 0x41eefb1d, 0x1d591559, 0x7617f935, 0x5224ce7f, 0xa23f7c5c, 0x70c64dfd, 0x1644e463,
+    0xe09c2cfd, 0xb39d7ae0, 0xb426e8f9, 0xc57084d4, 0xe5d34c47, 0xfbdd769d, 0xfb11f992, 0x7ff2a09f,
+    0x23286262, 0xcfbde9bf, 0xa023be34, 0xf4c317c4, 0x1b7370f2, 0xa33d4b37, 0x8b9ca6de, 0x379fb1ec,
+    0xb65b0f53, 0x9543cb93, 0xcc00a34d, 0xa43c0ea1, 0x6d1573f4, 0x921b2bed, 0x8ec03ffb, 0x8004d327,
+    0xce76b646, 0x40677ad7, 0xee5cf3e6, 0x07444f64, 0x8b751a57, 0xff2e4418, 0xf70b1148, 0xd8885463,
+    0x95235ef4, 0x9e0faa1e, 0x301041bc, 0x0c2593b7, 0x82d8a47f, 0x05c8ff63, 0x9c61c4da, 0x0f4a4fb4,
+    0xa735dba6, 0x800a01ef, 0x5aebda62, 0x676d8bbf, 0x9dbe6a5d, 0xf875e91a, 0x26392cbe, 0x593c2f33,
+    0x531334c7, 0x53e6f6af, 0x4f58dc8b, 0x8d0cfa61, 0x5bf4917e, 0xdf32ef19, 0xe4905135, 0xc17b93ff,
+    0x2a9cd351, 0x33e4af14, 0xf0ba089e, 0xcd7bf0b3, 0x3694b9fc, 0xd13801f6, 0xba825ac5, 0x48deacf9,
+    0x5068469a, 0xa2de9113, 0x9f5f9301, 0xad195f97, 0xb00cb1b0, 0xf952d222, 0x60453957, 0x71540db6,
+    0x41c0cc48, 0x69754f5d, 0x5c06e69f, 0x0dfb3122, 0xd1a77c63, 0x56d8088c, 0x1162136e, 0xbaaff0c8,
+    0x8a2ee6c8, 0xc3aa8158, 0x9f14b255, 0x69bbe550, 0x4c44a3f9, 0x273dd6bb, 0x9759347e, 0x3d68840f,
+    0x242dcfb1, 0x6f627f8c, 0x0a69e61e, 0x9a9580bb, 0x337b2839, 0x739f90cc, 0x4bd59274, 0x48f43136,
+    0x7386770b, 0xb790da9b, 0xd5a26b3d, 0x508392a7, 0x670e9881, 0xca95f4cb, 0xe1187cae, 0xf8da2104,
+    0x7d53051d, 0xe5a0a741, 0x707f8baf, 0xaebb7e17, 0x3589e49c, 0xf77450a1, 0x7bd439a1, 0x6d205776,
+    0x5ba29858, 0x6b673602, 0xcb4074b8, 0xb5a53b51, 0x9af09be6, 0x3b27d1be, 0xc4853ff7, 0x3cc4eb60,
+    0x003a47e6, 0x1e3b3d79, 0x24d73a0e, 0x908ed282, 0x85add801, 0x1fd7fac8, 0xc0d95ec1, 0x4a613106,
+    0xbbebe32c, 0xdd51cdd6, 0x5e579ff3, 0x007b192e, 0x4de42da1, 0x0e2154a1, 0x56aa993e, 0x4846715f,
+    0x8926f2ea, 0xf587f97c, 0x4ca3b2f1, 0xcad0aad6, 0x6429cb75, 0xfc98869c, 0xa8bcdeb6, 0x73ff5817,
+    0xaa4a884a, 0x571fe3fe, 0x119552b7, 0xe5ddece8, 0x7366ec8a, 0xff70299f, 0x26dd8cde, 0xcb2493c5,
+    0x3f563eea, 0x0e8f5668, 0xa415c438, 0xdfcc885d, 0xe51ee07b, 0x8d44f758, 0x50da0657, 0x976ce2cd,
+    0x39a6460b, 0xc6d099d8, 0x0f82c0b7, 0xd69776be, 0x69552364, 0xd736d026, 0x90728002, 0x17777e9f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000005339967589802275205\
+                         98755426542388028650676130589163192486760401955554931445160137505740521734144 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f,
+    0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db5640, 0x4173c2ce, 0x833287ef, 0x4eea8f9c,
+    0x00000000,
+    0x8b3c0f96, 0xaa4bfe7c, 0x8f7abcaa, 0x94fa34a9, 0x1f6cbec0, 0x253894ff, 0x759619a7, 0xb8b570d8,
+    0xba05633a, 0x21992afa, 0x123d09f2, 0x09201a1f, 0xaee586eb, 0x6f81d973, 0xbd041a54, 0x2372200e,
+    0x5a90f27a, 0x13753768, 0x8cb49b92, 0x9bff12a1, 0x56f069e6, 0xe2481e2a, 0x9ee30dd5, 0x892f94ae,
+    0x06dd1199, 0xe9d4c821, 0x9af570dd, 0x3b7c933a, 0xb4b68a48, 0x3370eeb0, 0x8eb229cc, 0x55b271ee,
+    0x5da3709e, 0xf573d41e, 0x39eb1e5e, 0x06fcbb0e, 0x95049b1b, 0x63324ce7, 0x9fdcfbc4, 0xf91dd97f,
+    0x00d2b111, 0x0f60d35e, 0xe07f716d, 0x00ce9386, 0xa7d60aa4, 0x2c25c0cd, 0x63ae90ef, 0x8fced255,
+    0x1d744f57, 0x3da0e851, 0xea7f3d92, 0x119834c9, 0xa864b0d4, 0x47dfffb7, 0xbd1a231a, 0x82377c63,
+    0x1f8ea02b, 0xee115de4, 0x06e244b4, 0xf80222a1, 0xf26958cc, 0xa8455349, 0xc580c556, 0x3ca17fda,
+    0xd2e8f4d0, 0x5d6ca7a8, 0xc5323e4e, 0xef3dc497, 0x2b034504, 0xed150450, 0xfc6d2b86, 0xefd88967,
+    0xe2303f81, 0xcac6bbe1, 0xcdc60eb6, 0xff9482b7, 0x729eeb97, 0x27a5ca8e, 0x6649d047, 0x7574d126,
+    0x3a565678, 0xee739549, 0x44fbbf92, 0xb72271e4, 0xc28fb4ba, 0xdb4211bd, 0xca854112, 0x75478b14,
+    0x41794db6, 0xea92260a, 0xe1332132, 0x447be224, 0xe412a456, 0x1dde7152, 0xe32b3760, 0x93978254,
+    0x33616bfe, 0xf47ac935, 0xe514438b, 0x01a013e2, 0x3d259407, 0x00090eef, 0x9c7910ec, 0x0f5d5d40,
+    0xa383a6eb, 0xc2f311a8, 0x64829582, 0xba2a6646, 0x7d9ef6e6, 0x11a2e66e, 0xe3013eb4, 0xa7aaa443,
+    0x43a5c03f, 0xa0a554d0, 0x8936fc79, 0x98493e66, 0x0e43a624, 0x70e64f72, 0xb0ff7438, 0x4f8be846,
+    0x95d0d6f2, 0x877aea44, 0x014e1051, 0xba7ac735, 0xab69a51f, 0xcf3c1c00, 0xca497249, 0x98ea64e6,
+    0x953030fc, 0x6215792a, 0x6a9781b1, 0x355fd21c, 0x615a87d0, 0x2498ca0b, 0x8f9b3c76, 0x3228ced9,
+    0xbc3d1e99, 0x53f32a3f, 0x5e8022be, 0x48a426f9, 0x237724bb, 0xfc881430, 0x91624a06, 0xd0cc0d24,
+    0xfadb24b4, 0x342bcf41, 0xdf75be85, 0xeac7174c, 0xa7954f35, 0xc09d3787, 0xcd7a83f2, 0x404cdc68,
+    0x9de3fa5f, 0xf4ec9357, 0x60e7403f, 0x323b5947, 0xcbdb15f5, 0xbfa2cf66, 0x06edd873, 0xed707b7b,
+    0xc1c47070, 0xc93f19dc, 0x1dc185d2, 0x1819006f, 0x14e5237b, 0xd820b010, 0xf6c7c0a2, 0x61ad4b66,
+    0xae9b0d5b, 0x98281856, 0x667dd39a, 0x44b6ede8, 0x254e9394, 0x918439be, 0x6432bc3b, 0xc1b1e81c,
+    0x52e5feac, 0xdedd475c, 0x002edd25, 0x5a99a4db, 0x4184356c, 0x70ed80cc, 0x37c59a91, 0xa546ac5d,
+    0x83b18d58, 0xd7c61a96, 0xb7547fc6, 0x35608f34, 0x719bb9fe, 0xfb48934f, 0xd3fd945d, 0x6542ad1f,
+    0x9d01daf4, 0x94b5f579, 0x6dd35390, 0x4d546965, 0xab83765e, 0xb86a3add, 0xd3f7136a, 0x7943b051,
+    0x128824fd, 0xc305e27f, 0xdc68406d, 0x4b0178f5, 0x9f7b4f46, 0xb7a1a44c, 0x8152cc98, 0xce241a12,
+    0x043bd013, 0x733410fe, 0x9ef1c058, 0x57a46833, 0x1c958476, 0x7201dd0e, 0x4812ce6e, 0x08e6a174,
+    0x34fb532a, 0xc85bcdb9, 0x05f8cfc6, 0x1473dbeb, 0x5fc8c6fe, 0xe9eb883b, 0x61457a7a, 0xe5b3deff,
+    0xd397d6c5, 0x10f25224, 0x11fb9cb9, 0xa8f8d436, 0x238c5e78, 0x98f87648, 0xc8ddea07, 0x57632e84,
+    0x6f4e82d2, 0x40121b47, 0x31e57c19, 0x5dffa7f9, 0x732e4107, 0x08fa785c, 0x1379fcc3, 0x7559af7e,
+    0xdbdf025d, 0xc69ece07, 0x7c75a866, 0x435baf21, 0xf52221de, 0xa1027b8b, 0x661e7b23, 0x2994bbc7,
+    0x49c509cc, 0xdba7ae5a, 0xddf01265, 0x53b2b564, 0xf95b3d1b, 0xf87cebca, 0x3556c832, 0xf6ff05b3,
+    0x83918e2f, 0xa1c8a2e2, 0x99f006e8, 0x3b3250bf, 0x91930de9, 0x8932b7d7, 0xfec34b2f, 0x3e012e28,
+    0xe5319790, 0xf29296f8, 0x790634c3, 0x8609a5bb, 0x7d0a6230, 0x49a4e21f, 0xa9acb572, 0x9534db0d,
+    0x36e97811, 0x30c308b0, 0x7e07c5d9, 0xc99b47c1, 0xa427c0f3, 0xc45e1706, 0xb579c0ff, 0x960114b9,
+    0x743b875b, 0xd91d9067, 0x0aa492c3, 0x2dc1fce5, 0x27e519eb, 0x57873114, 0xd27fd567, 0x5642205b,
+    0x63edf722, 0x3cd2daa0, 0x9c23533a, 0x1852c0d2, 0x51eb5aa4, 0xccbd0de7, 0xe6dfd557, 0xbcf89d02,
+    0xa3b51da0, 0x48c6ab89, 0xf3ef0304, 0x54d42da3, 0xb39ff8b8, 0xf8cf4507, 0x4465067b, 0xd1719233,
+    0x8f050d41, 0xa7fd2106, 0x19f0bbe6, 0x91b7804c, 0x3ef20e16, 0x33f937ac, 0x68fff612, 0x7803aee0,
+    0x14b73446, 0x5bbd8608, 0x28e824ec, 0xe662687f, 0x04496626, 0x32e1f347, 0xcbca48c9, 0xa31f37e3,
+    0x7fa5bcb3, 0x57ae8916, 0x18f6efd6, 0x27d333a1, 0xd5dbedd6, 0xdc54ede7, 0xb74eba61, 0xa198a604,
+    0x742c7ff9, 0xd46201be, 0x7467c135, 0x5b766430, 0xf52f95da, 0x0ec1496d, 0xd62aee8c, 0xa808252a,
+    0x6dd2bb32, 0x9cdbf8e2, 0x4e297001, 0x9c961386, 0xd5116325, 0xf6a44f90, 0x96cc0069, 0xd645fb3f,
+    0x83c20e7d, 0x7492a0c9, 0x65e2bf23, 0x195d0efe, 0x081bf6da, 0x740d9d24, 0x79c88df5, 0x0148201c,
+    0xbe1e9f88, 0x9e6d0e3f, 0xf3b73dcf, 0x4929662a, 0xc32237c7, 0x05851c3c, 0x387d327c, 0x60e2fa2e,
+    0x315319d7, 0xc06878a7, 0x25b6ef4f, 0xaaaaa640, 0x6253c89e, 0x4b722dda, 0xe75379a5, 0x03944644,
+    0x1c159c27, 0x2552c101, 0x53e83723, 0x23b135e6, 0x0cd454bd, 0x78ef98b3, 0x5ec44dda, 0x240c9d8e,
+    0xb2a80185, 0x41c923ba, 0x400e5b09, 0xad03e4b5, 0x9d6dc500, 0x4795b07b, 0x902c2465, 0xb1792e46,
+    0xd7333623, 0xf26d53e6, 0x0875d083, 0xcce91bd6, 0x0671710b, 0xafc49db1, 0x93ec9ce0, 0x6a952547,
+    0x6529cf8d, 0x2b96b0d5, 0x25984724, 0xe3aed4e0, 0x09936b0d, 0xb219191a, 0xd45cb0c0, 0xf8fd6880,
+    0xd99d240c, 0x7e729eea, 0x8ae1c9c3, 0x39fb7d54, 0xf7ef95ba, 0xbc396afc, 0x0e77b11a, 0xf9c41b31,
+    0xc8d66cfa, 0xbf0c660b, 0xf74192c9, 0x3678d61a, 0xa2960cc2, 0xd4555ac7, 0xbbf37c1f, 0x760e92d2,
+    0xdf44ff8c, 0x629874a7, 0x2d9cbfca, 0x61498987, 0x4da5ca5d, 0x30562e2c, 0x8f6d916a, 0xf88b4b40,
+    0x12a658fb, 0x9ec71a76, 0x8c7dfc66, 0x3073534f, 0xf1876933, 0xea48b067, 0x33b8b7d4, 0x7c05d84a,
+    0x7726fee8, 0xa7c45aa0, 0x54b071b2, 0x2b902b0d, 0x89bb06dd, 0x5f69647b, 0x57fbe948, 0xeb89e08d,
+    0x214bd470, 0xd6d6a99c, 0x159a72fa, 0x0f69a554, 0xf5c0ec7d, 0x8fcf3669, 0x4bb05d00, 0x2472b11d,
+    0xebce3b42, 0x5a4b005a, 0x32b8ff04, 0xb7a8c292, 0x745023a4, 0x207d39f1, 0x5cbea62d, 0xea0cbf50,
+    0x44adefc0, 0xe86c1c4a, 0x2609a1cf, 0x73a5cc8a, 0x72cc578c, 0xaf647c65, 0x0fe2d96a, 0xc47115a7,
+    0x0282d37e, 0x1ecb14d2, 0x3d975c43, 0xeb29141a, 0x514764e7, 0x43f07aa8, 0xd31aa572, 0x73a78751,
+    0x99c677ee, 0x4a957b05, 0xdbbcb229, 0xa1f69e95, 0xee43d021, 0x6ec43a07, 0x238b2cfc, 0x1761bac7,
+    0x5850c991, 0x030b96eb, 0x48d703c2, 0x1d062f89, 0x352b2ab1, 0x446d41a4, 0x53c99784, 0xb126197f,
+    0xec2986a0, 0xf744223a, 0x397c5cbf, 0x2fc2f0dd, 0xa09949e4, 0x2a205ddc, 0x18beef05, 0xd1faaa20,
+    0x34de6b2d, 0xd417d9cf, 0x904ea38b, 0xab1648af, 0x44403e2c, 0xbf8c7442, 0x89699542, 0xedef6b07,
+    0x99fae76b, 0xcdfe4234, 0xd170b38e, 0x31106b08, 0x6d17583a, 0x42d87729, 0xe754d5f8, 0xb006eab4,
+    0x55d77c75, 0xb7076058, 0xa66cecd5, 0x83cdc6bb, 0xc22b1fb4, 0xe2068270, 0x1b7cdc89, 0xfc444ca9,
+    0x7ac92587, 0xb77849b9, 0xa2a8bef3, 0xa208b6ce, 0x39f2a634, 0xf87a0316, 0x382ca1cf, 0xb58d6df8,
+    0x9542e1ae, 0x7dd2ce4b, 0xda4a5e43, 0xec7a2695, 0xb64af8fe, 0xf28dd649, 0xa651f380, 0x7ee5ccbf,
+    0xb2cde9c2, 0x74504743, 0xf7f6ebf8, 0x102c9d30, 0x73eca1b4, 0x0131c1fc, 0xc962bcaf, 0xf93dd925,
+    0xa32a6b65, 0xa9ccf798, 0xc2c226a4, 0x2d656052, 0x0540a992, 0xfd8fee22, 0xf0599111, 0xb3a49dbd,
+    0x58d9f099, 0xcc9f1481, 0x619e3bd9, 0x7d6332df, 0xebf1f3e6, 0x36c5e907, 0x6fef198e, 0x2f9131b7,
+    0x7a48202f, 0x591cfd68, 0x64c5b1fe, 0xfb722b05, 0x9e4754f1, 0xc691c9de, 0x4e6f5ce9, 0x84902265,
+    0x68d2449a, 0xdc5926ae, 0xef097e00, 0x7b49c97a, 0xab192f45, 0xa2419c03, 0xf2ab42b9, 0x48cd7f84,
+    0x0971143d, 0x37c7020b, 0x79f9c46a, 0x8868737d, 0x25154b9e, 0x6056ec8f, 0xf0da1c9b, 0x4f084971,
+    0x8788fd7f, 0xa0a827e8, 0xc09dd760, 0x18c4b681, 0x669f5166, 0x42495381, 0x0fd05662, 0x154debb9,
+    0xfd2c9210, 0xe0456f8c, 0x584d0d08, 0xbb4f2501, 0xfb16cd49, 0x4a12b0e1, 0x602a2c02, 0x04ce5309,
+    0xda171932, 0x357be796, 0xadd7d5f7, 0x97bb27e7, 0x3c8c9ba2, 0xa955cbfc, 0x9c2dcd50, 0x7674d275,
+    0x01cf4cfc, 0xcb2469d3, 0xa82b7671, 0x6a10a76b, 0xe84d80cf, 0xa09ca96c, 0xa1966f1e, 0x1fd06f7e,
+    0x44641f52, 0x497dba5f, 0x69c02bed, 0xa161b62e, 0x154bb9b3, 0x87e08057, 0x2249a30e, 0x33ecd457,
+    0x63bbba64, 0x8c8f1236, 0x708d5919, 0xceb876c2, 0x42dece97, 0x9cef49dc, 0xfd018a65, 0x81df2315,
+    0xdea72c6d, 0x3b1ac0a8, 0xb746f521, 0x02f87219, 0x44e43a1c, 0x2d671760, 0x950c4dfb, 0xf3c99fbd,
+    0xb4d6744e, 0xc2d41c82, 0x9b7b4de2, 0x75aa6917, 0x67c1bcd3, 0x9d125ba5, 0xf3bb5b27, 0x6f2c93e2,
+    0xefd0e62e, 0x7f854769, 0xba424e20, 0x243da84b, 0x449cf99a, 0xd5a1f511, 0x32567baf, 0xc3291098,
+    0x0ddbd10a, 0x50df8e0a, 0x1f337e7b, 0x917b704a, 0xd25f27ef, 0xb2bc7847, 0x064aa230, 0x781f4ee5,
+    0xd160d7cd, 0xd613c472, 0x8702f9dd, 0x09770be3, 0x8279d428, 0xc9597e26, 0x829f1d28, 0x2ddef996,
+    0xe9d1e2c9, 0xf7afa4b2, 0x69482cae, 0xd233e138, 0x3e5d0ae5, 0x8cd84366, 0xe1e610fc, 0x64b396f8,
+    0xc3f1d988, 0xb7c13706, 0x8de84094, 0xf4624c81, 0x68f89a9e, 0x655c2177, 0xd7e40bd9, 0x8036c2c9,
+    0xe3378cac, 0x10ebe625, 0x29bc8a9e, 0x35d1956d, 0x66af3e7e, 0x4587def0, 0x09b7d1a4, 0x5cd918ea,
+    0x08319fda, 0x95dc72a0, 0xa6ffb249, 0x6ecf7317, 0xbfd05865, 0x850fb19a, 0x1506ed6b, 0x070425e4,
+    0x83407163, 0x77677f99, 0x229c3955, 0x17f7f9aa, 0x9c0dad1f, 0x481be3c9, 0x42aadd22, 0x639b4350,
+    0x80ac0c2b, 0x294bc4b6, 0x7d15f12a, 0xad3f0b89, 0x3fb03379, 0x4b90442f, 0xb40e70e1, 0xaedfe5e0,
+    0xa7dd37f1, 0x25957e8e, 0xae583da5, 0xb4d009c5, 0x2f0596a6, 0xed1b9aa1, 0x3a9e3576, 0xbf5b8eb5,
+    0x686c7b74, 0x9c051b1f, 0xe07e1ae2, 0xfd6a0794, 0xd0cfced9, 0x2ceb8f1e, 0x16c9c726, 0x0499983f,
+    0x51988e27, 0x0cb8de0a, 0x7287abb2, 0x605a3967, 0x99eb211e, 0xe008e658, 0xc955b779, 0xdf7d1f48,
+    0x4dbc09d6, 0x4455d8e8, 0x95ac3d77, 0xcf920856, 0x769df7b9, 0x95108145, 0x9f7393e1, 0x6c3000ad,
+    0x51938ef3, 0x6706e1e3, 0x395917eb, 0xd733ebd7, 0xf946a565, 0x938e0fb3, 0xe3886646, 0x4a424ad1,
+    0x3beb8c2b, 0x46fac42b, 0x43034f9e, 0x81e0ff8f, 0x0fbd7e78, 0xaea3cc03, 0x2656e64d, 0xb1f6c235,
+    0xdc61582b, 0xa06d283c, 0x95071b50, 0xbb1a3910, 0xc471269d, 0x2ef8002e, 0x445d7da8, 0xeee90772,
+    0xfa188de3, 0xf89aaf02, 0x8ee14013, 0x39cb4221, 0x9d668cfc, 0xa3ff6e33, 0x1b749714, 0xd978f0db,
+    0x9e660707, 0x1236782b, 0x1043d6a7, 0x77ff7626, 0xac29624a, 0x48a31977, 0xf90c3e84, 0x3aac5227,
+    0x4b4907bb, 0x41fdaeb4, 0xc62e2ece, 0x58942d8f, 0x8fcc7449, 0x0bba6a37, 0x0367d0af, 0x2b47f414,
+    0xcb0c68cd, 0xb9aef3f6, 0x08b92c24, 0x3eba7cff, 0xc8654c5d, 0x2bfdad08, 0xa00bdf99, 0xfa4db3c7,
+    0xf44809dc, 0x4b1474fc, 0xaaa971bb, 0x0c27f78c, 0x9090a9ed, 0xca9baab7, 0x5375b890, 0xc3dd9c17,
+    0xab129a3a, 0x36232b25, 0x3ec0abda, 0x652d5c57, 0xcfd26daa, 0x992d4e15, 0x8f2e4b53, 0x246c3e99,
+    0xfb27caa4, 0x7a1f363a, 0xd8fbab6f, 0xa8f08dc2, 0xece467c4, 0x77a4f272, 0x13f6d0d1, 0x6f86b471,
+    0x6901c238, 0xb8a20762, 0x14198dc9, 0xf1ebcf25, 0x0eb9f48c, 0x1056eb2d, 0x780b1fe8, 0x0c728ba1,
+    0x718ea98d, 0xc7bf4fb7, 0xc0d97b6d, 0x2c8e1a04, 0x16940d74, 0xfafb366e, 0xe73242c3, 0x56827e9b,
+    0x41ac1874, 0x903d8f08, 0x783df3eb, 0x90c07e4f, 0x7b2a7ad8, 0x42dbe817, 0xf78ff0a0, 0x05b05bae,
+    0x3d0660ce, 0x39854bd1, 0xae9bff23, 0x69a21959, 0x0d035e92, 0xe064bc32, 0x3c58e587, 0x9e8ee2f8,
+    0xede8bb73, 0x2940d81d, 0x60c4b289, 0x5d4525fe, 0x90c4fd6c, 0xbc97ed12, 0x97d8fc49, 0xc4019df9,
+    0x46dc0ef8, 0xc0f9dd29, 0x4af9db4e, 0x46cc11cd, 0xee2d7a77, 0xc33d8586, 0xb8eee1af, 0xd5f54f09,
+    0x948027c8, 0x13f0c121, 0xb6b280d9, 0xa452a2e1, 0xc641df47, 0xeba21f6e, 0x75e1589d, 0xcd6799fe,
+    0x5bba889b, 0xe6537e66, 0x273647a4, 0x639db5f3, 0x032168ef, 0xc01b55b5, 0xaf92bb9a, 0x33327315,
+    0x51ffdc37, 0x727757f8, 0xfa4d2799, 0xd8759bff, 0x6ee9fa6d, 0xb51ebefe, 0xc7dd564a, 0x649c6071,
+    0x4539f45b, 0x4bde523a, 0x9eae7b47, 0x54aeb480, 0x9ec60cb6, 0xa16f99b0, 0x7b143765, 0xecbe49ba,
+    0x1920064b, 0x268449f4, 0x7137375c, 0x75dd9414, 0x9ae34ec2, 0x27a65853, 0xd3850b53, 0x9389393c,
+    0xe5f4c8b0, 0xaf78880c, 0x1544c895, 0x4de0b25a, 0x43448443, 0x4880d58c, 0x1f4e3866, 0xe95068e9,
+    0x728cae72, 0xaa4c0006, 0x3bbbfa53, 0x85616cde, 0xd63ba0d5, 0xa30f999f, 0x3a5b8aa6, 0xd65d8600,
+    0xb8b267b6, 0x2cc802b7, 0x0e0a0c29, 0x39418625, 0x8f1b5ec6, 0xdcc62605, 0x52b9f109, 0xf56fa1fb,
+    0x94c7167f, 0x568af242, 0xaa3e050f, 0x5b2a7ae0, 0xe4197972, 0xd9390f03, 0x8daab0e8, 0x74a90b1f,
+    0x30711d94, 0xc8aaf340, 0x09b52470, 0xa8b1df93, 0x7f0f85ee, 0x89286398, 0x5ba72eae, 0x35058eff,
+    0x90581bea, 0x7b023646, 0x04dd8fdd, 0x39ec0950, 0x2736b716, 0xd2c8b6be, 0x479956ee, 0x33766fa7,
+    0x0df7304b, 0x3f9081d7, 0x0344dee9, 0x63b080b6, 0x67df9af5, 0xcf70d1d6, 0xf386c27b, 0x0c6b7c2a,
+    0xbc58032b, 0x163ce647, 0x87ba035f, 0x0df1eebe, 0xc2fc3417, 0x5891be4e, 0x1865c89f, 0xa8831621,
+    0x03a03c59, 0xc5f5706f, 0x57cc39e3, 0x7116f556, 0x6e437472, 0x44de10a4, 0x327f064f, 0x960cb49f,
+    0xef191942, 0x880df590, 0x7ac7efea, 0x4770edf1, 0xed833eb9, 0x678a2dc8, 0xe24996ec, 0x6ebf4851,
+    0x3c1ee7a7, 0x5b87c4e1, 0xa3e4b56f, 0x5a2f587c, 0xfd18eb0a, 0x14a998cd, 0x9661c98a, 0x07b6a60b,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000002669983794901137602\
+                         99377713271194014325338065294581596243380200977777465722580068752870260867072 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf,
+    0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e167, 0x419943f7, 0xa77547cd,
+    0x00000000,
+    0xbccbdd70, 0xd5a6e848, 0x69b0ccfc, 0xb8839705, 0xca2b7711, 0x8ba6fcae, 0x6d5a9396, 0x50ac8753,
+    0xb4c10c2c, 0xdce83f8e, 0x432484d5, 0x1cacea32, 0xa8c17688, 0x2843025a, 0x8b1b2cc8, 0xb8c066ef,
+    0xafca8a37, 0xf599c474, 0x24715f99, 0x4a05b41a, 0x59f8da9b, 0x91f60ad8, 0xf36468bd, 0xdf948565,
+    0xfe63d637, 0x1d883477, 0xcc4256cb, 0x39f2b402, 0xaf600495, 0xb6d3058e, 0x8915ee40, 0x7d3f0aff,
+    0xf22bf994, 0x4c5cbfb6, 0xeae02b46, 0x979e7174, 0x4ccbfd04, 0x4362f259, 0xd7e52c15, 0x1fe8dcee,
+    0x7e26d62a, 0xf6c96ae1, 0xd9f4a1bf, 0x4b1b4b31, 0x1e7d02a3, 0xd8f8dfca, 0x72aed4ff, 0xd199b766,
+    0x0bcf25a0, 0x8f99f20c, 0x55688b71, 0x828b66d2, 0x2a0f75ab, 0xb5bc308e, 0xc387160a, 0x276a2f84,
+    0x372bccf3, 0xb39d45ee, 0x409a144f, 0x35e22ad4, 0x4eb1915c, 0xb84226a8, 0xca2d55b4, 0x024685cf,
+    0x42deadc8, 0x99290e4f, 0x08870a43, 0xcaa87b52, 0x319752de, 0x39404c18, 0xe279ab40, 0xe7b03be8,
+    0xf24ce256, 0x338e9cce, 0xb488bf4f, 0xd875aa5d, 0x49494510, 0xa93c7656, 0xff8b60fc, 0x82069e6d,
+    0x8342232e, 0x5387f902, 0x48eed057, 0xa61afe4e, 0x4d9e8102, 0x5605b53a, 0x27503357, 0xe525b1e8,
+    0xb87d6051, 0x4a0b0fc6, 0xb026626d, 0x79730eeb, 0xfa2a91cb, 0x2c5fe130, 0x039f8368, 0x94c58a44,
+    0x8b5c90d2, 0xf4d69f66, 0x5aac21f2, 0xf8db28f0, 0x94e55d3c, 0x189cc193, 0x253e7d4a, 0x72173013,
+    0x1478d61b, 0xc0840912, 0xdb88d089, 0x88109a64, 0xf221a9c4, 0x620eece5, 0x36109e5a, 0x64e61db1,
+    0x0340314a, 0xedffc1d9, 0xbd95b982, 0x36fa8016, 0x869b6d20, 0xceff0d4c, 0xdf838db0, 0xd090ad07,
+    0xcd3485a9, 0x3edcc824, 0xb5071d42, 0xfee5f3d1, 0xf8ce658a, 0xa61494fc, 0xf4820283, 0xa1119bf4,
+    0x52e2e30a, 0x5fc4f5e9, 0x1a7ca959, 0xec3b9421, 0xa1cc988f, 0xc4f2b554, 0x8d471a3c, 0xdbb324b7,
+    0x950fe631, 0x0522a698, 0xd1fa180e, 0xfe0ccc51, 0x2e8477e6, 0xb481959b, 0x1b256dc0, 0x0752cbb0,
+    0xcd6f08da, 0x85c186b1, 0x08f3fa23, 0x6b042099, 0x9546f2aa, 0x0621022d, 0x511c88b2, 0xdcf6c92b,
+    0x37ee30fc, 0xff6f638f, 0xeb9969cf, 0xda34838f, 0x35d47fcb, 0x43e1013f, 0x1437ce25, 0xa8290dbd,
+    0xeea858f2, 0xd45b810f, 0x5f193054, 0x1e1bee8d, 0x7c17207f, 0xc2cac17e, 0xb030697d, 0xd89cf350,
+    0x8d058dde, 0x1dc66f49, 0x07c90eea, 0xdc5764d3, 0x3a259c53, 0xedbe0286, 0x768c96db, 0x7af8e83e,
+    0x19ec4cf5, 0x3431cfa5, 0x78975187, 0xe7f6ce6e, 0x8051a099, 0x24068068, 0x8f5da8d3, 0xb68dcebd,
+    0x951c310f, 0x3c888961, 0x1c2cb3bb, 0xed08f0af, 0x34d44f42, 0x1eb0f680, 0x516d2466, 0xd56b387d,
+    0x68982f5c, 0x7ac3c394, 0x6d15d06c, 0x9e79a584, 0x6a5ed415, 0x592c13a6, 0x99494238, 0x602ff0b0,
+    0xb32f496a, 0xbdd2f4a6, 0xf08fda97, 0x4a54b3f9, 0x521b0f1d, 0x0284350d, 0x5b411830, 0xe25ec768,
+    0x3f97b05d, 0x1ed8ae80, 0xc43c124c, 0x721f682c, 0x0b0555a0, 0x99cefba7, 0x4436f754, 0x260ef006,
+    0x84e478ec, 0x75d74cfa, 0x37fb8712, 0xffe01095, 0xfda329b7, 0x85efd2ca, 0xd11f626e, 0x5b6b473f,
+    0xb5cb3cce, 0x8cc293ab, 0x30165196, 0x8d743e89, 0xa7f71e4a, 0x575ca042, 0xb97e76b6, 0x52f45f0e,
+    0xbae65d05, 0x98b264bc, 0x8df32714, 0x2c0e8840, 0x745cdce6, 0x978689f6, 0x844e2fc9, 0xef2397ff,
+    0xdfa65e4d, 0x3199b02b, 0x4772caef, 0xe8ce16a4, 0x69382159, 0xea9f5e2b, 0x292e1940, 0xc8aed7bc,
+    0x641ea953, 0x0070a7dc, 0x24451065, 0xa4bf9d6e, 0x282503f5, 0x36060f99, 0x7b347059, 0x9478a6e5,
+    0xc4629ce2, 0xfdb8f71d, 0xc85f43e9, 0xd62b1ce9, 0x38601472, 0x9403163d, 0x1ac7ccef, 0x55159509,
+    0x438133a4, 0xaced28c5, 0xca84f42b, 0xf9792f47, 0x9696d41d, 0x9597b288, 0xbdcfbdf6, 0xe0bfc245,
+    0xf7b67dd2, 0xfc0ccea3, 0x6ce9743a, 0x5fbe5591, 0xe3e0f365, 0x30763a7d, 0xd7c258aa, 0xdbca8ffb,
+    0x3f110aa4, 0x0f1a7b6b, 0x2187c398, 0x699b048b, 0x200bbd08, 0xee7fea9b, 0x30368662, 0x56c4fe98,
+    0x770d280e, 0x3c974149, 0x278bf114, 0x348833e7, 0x67a07943, 0x6ad73609, 0xbc91d2f0, 0x1255f2d3,
+    0x435b1143, 0x31aca470, 0x8fce0235, 0x839ac3c4, 0x67e6b4dc, 0xfc9af9d3, 0x228522a9, 0xdb1704fd,
+    0x91e9bacc, 0x10f274d3, 0xd83253f0, 0xa59ea576, 0x17fcff71, 0x18a72e6f, 0x4a7dddf8, 0xfe66d8d9,
+    0xf4cc482a, 0x25a48e09, 0x5550e60e, 0x27d66be6, 0xcbc657b3, 0x7d075718, 0xb8dea9c6, 0x8d8c9028,
+    0x886f261a, 0x7063b4f1, 0x66a85864, 0x30678a35, 0x55111cb1, 0xa600a6af, 0x9bc12670, 0x5ae15ae3,
+    0x69703e02, 0x05c88b60, 0xb58e7029, 0xdc78cc19, 0x9233b6bf, 0xc4819b2f, 0x46e61b22, 0x500970fa,
+    0x416a2ea1, 0x65c79a8e, 0xdc34e2b4, 0xcaa81988, 0x5a0a0b4c, 0x2eddb69e, 0xee819172, 0xbeb63c00,
+    0x3e432863, 0xb803ae5f, 0xcbaafaeb, 0xcb82d8df, 0xf85391a7, 0x9836351b, 0xaa33f507, 0x157d4ba3,
+    0xee2cd983, 0x49e86c1d, 0x3a84c056, 0x01863674, 0x44d1b636, 0x094d8ff6, 0x5974f064, 0xd55c9c3a,
+    0xc64c5afe, 0x4e664c8e, 0x574a9220, 0xdb2ee51b, 0xf168b4b9, 0x40e1ac13, 0x1005cedc, 0x32f50ad2,
+    0x2a082d31, 0x1dfb9eb9, 0x70d5b9a2, 0xff18f139, 0x0a171c16, 0x25181039, 0x3d918185, 0x845ce994,
+    0x2a4407a3, 0xe42ad78b, 0x42d62386, 0xcc041252, 0x98265300, 0xc36e3868, 0xfbe2a603, 0x794ecc0b,
+    0x21e21b02, 0x4f44d6a4, 0x4fa364c5, 0x8c56e7b8, 0x94d746ee, 0x1c78faa7, 0x3654febf, 0x3baaa5b5,
+    0x0ba6c16b, 0xe778a945, 0xd6c5b835, 0x593a830e, 0xb1b42ee5, 0xb2c64bd1, 0x83e8c8a7, 0x8d376065,
+    0xde605217, 0xd605552a, 0x90596971, 0x1675a29b, 0xce69bfff, 0xf0588d19, 0xfa9ec42e, 0x2e745ef3,
+    0x84b9f110, 0xe2d5dd13, 0x3cb44c87, 0x5fccde65, 0x7ff11eff, 0x2293697b, 0xc093ffb4, 0xd62f3874,
+    0xd414677b, 0x0a3ad994, 0x92a69172, 0x689083ce, 0x19158765, 0xc0f78081, 0x0731a894, 0x1020dc5b,
+    0x218d897a, 0xac2eb995, 0xa6977d12, 0x0fabcec2, 0xfea82d0a, 0x3c886d16, 0x1e1fc333, 0xc7dd8df4,
+    0xd7d7a87d, 0x644017ea, 0xec5627a5, 0x95ee249f, 0x87a4a10f, 0x736f83a1, 0x2381bb68, 0x0b2428a3,
+    0x149ef225, 0x0aca4bab, 0xcaedab19, 0x50b13a27, 0xea55a539, 0x8f6251f1, 0xe7bae754, 0x41366172,
+    0xb0e9c75c, 0x47485274, 0x382607a1, 0x56d201e4, 0xa3eedab8, 0xd5c6b5a6, 0x75adacf4, 0x79682ad8,
+    0xd88c4ec0, 0xb2cc93dd, 0x46c57936, 0x2a1564f8, 0x3e15473c, 0xb72b7bcf, 0x96562f79, 0x1a74ccd1,
+    0xf8552c9f, 0xeeb1a870, 0x241408e3, 0x9ea0aeb7, 0xad737c53, 0x401a364f, 0x4778948e, 0x2a5939b2,
+    0xd700d0ff, 0x63c959b8, 0x3ad350ed, 0xa6793f0a, 0xdd44eb7f, 0x36f8df3c, 0x4477f1a0, 0xfb587487,
+    0x9b5a8554, 0x6f386ce0, 0xd3a14cf3, 0x18adde4f, 0x6a6db588, 0x6e22bb77, 0x2fe80765, 0xf7499dc1,
+    0x2bfe5e07, 0x0de71bf1, 0x17079026, 0xb4e89cf1, 0x009a63a1, 0x3208bd3d, 0x37254739, 0x4ec95695,
+    0x82f18df3, 0x2c534c17, 0xe593e7b7, 0xab361d3e, 0x64da56db, 0x860060a4, 0x7971851a, 0x8bb2fd36,
+    0xa4963911, 0x35511cb4, 0xb7befa31, 0x14712459, 0x24368464, 0xb122d200, 0xdf684729, 0xf2f2f107,
+    0x97b71170, 0x8346a953, 0x04e9af7e, 0x7f50122b, 0x33d87151, 0xbce7bcf0, 0x749f7cd1, 0x60c312c4,
+    0xa74ccae9, 0x439daa11, 0x2cd903a9, 0x0c3faecf, 0x24292e3b, 0x700ffa45, 0xd42a0666, 0x0798fd10,
+    0x41befd35, 0x913d05fd, 0x07d7c595, 0x4e0d4960, 0x69637c86, 0x142a253d, 0x415a5fac, 0x131e795b,
+    0x7f24a9c8, 0x4a216cbb, 0x3dcd5b9c, 0x1155140a, 0x25c63044, 0xa2095d9e, 0x0d8ad3e0, 0x6988beea,
+    0x50be0b3f, 0xa68dbdf1, 0x6efa636f, 0x791d391d, 0x0080a89a, 0x7c2c82c9, 0xd8b8c80d, 0xd941ff00,
+    0x1bef60a1, 0xfc168afb, 0x9b67adf1, 0x09f1de70, 0x6a2fcd5b, 0xb8e4bea9, 0x4166b27f, 0x750782b1,
+    0xf62a7a6c, 0x58a0bc56, 0x6e61e732, 0x2b70927d, 0x99fa337b, 0x24e94ee3, 0x5a0bcc6b, 0x4b3bc08d,
+    0x87933d2b, 0x54d56fd9, 0x261a2235, 0x3462c46f, 0x2aced511, 0x8ffb6e7a, 0x6dbabfe0, 0x885565ef,
+    0xa6e740b1, 0x3ee22535, 0x3bde0ce6, 0x0de8711b, 0x16354250, 0x190074bf, 0x96554aba, 0x215006af,
+    0x6c583959, 0x3ca9b83a, 0xdcb190dc, 0x86f5f56b, 0x9305e54f, 0x60f3bcc3, 0xcf237591, 0x555bbc2f,
+    0x1e16086b, 0x27374cfe, 0x6ee473d2, 0x9d8ff9f6, 0xfa1615d2, 0xe676b49e, 0xee955d60, 0x44590316,
+    0x569de771, 0x8dd67d44, 0x046ef96a, 0xc4cce1ef, 0xb7e3228d, 0x5b2441f3, 0x2c8ca383, 0x7be117f3,
+    0x9486dfc0, 0x7ccbd402, 0xca26801d, 0xb60bcde0, 0xb9c5cda7, 0x9b60e091, 0xeb8738a3, 0x192e0fed,
+    0xdc2c11f6, 0xfbc0be2e, 0xcfaa4ae8, 0xcd06618a, 0x5ae281e4, 0xd080af1d, 0x5eb64b57, 0x35207f82,
+    0x51cfa516, 0xac2772f8, 0x4e59d55c, 0xb67a0654, 0x084fbe9e, 0x2a6b7adf, 0x2c2b072d, 0x53bd3eec,
+    0xdbd5fe35, 0x1ce08bb1, 0xa64c2f6f, 0x76eb49ac, 0x7043eefe, 0x62c584d6, 0xd2e7c6da, 0x69b36f84,
+    0xb991804d, 0x023369d0, 0x5bba41a9, 0x86a69e40, 0x4bccbbc7, 0x9870c573, 0x8d9820b9, 0x4a1d8a4a,
+    0xd0757e51, 0xd35cb58b, 0x335b2240, 0xa6e8b08d, 0x5974b13e, 0xfa09e35b, 0xafd460ef, 0x3c2e4de9,
+    0xb961ec7d, 0x349c6fbf, 0xb323baad, 0xee64b17c, 0x8caf2349, 0x62e169df, 0xceeaee8b, 0x1488852a,
+    0x83aee70c, 0x06427bc3, 0xaf981cea, 0xf9cb6ed4, 0x437a428f, 0xb09220cc, 0xe2bc4207, 0x544f2f8d,
+    0x75f8cdb2, 0x6a0eb7e9, 0xc78cf420, 0xc9710851, 0xb6187848, 0xb02c43c6, 0xc3fe22bd, 0xb35b662d,
+    0xf6524b64, 0xd491a8eb, 0x6c332911, 0x14b722d2, 0x5977c900, 0x0f4e6de2, 0xbffa8dee, 0xbdff84fd,
+    0x5aca2701, 0x69b44e38, 0x43a8c11a, 0xf16dff17, 0xdaac44b9, 0x268f0da2, 0xa846c9e8, 0x0bb75ae8,
+    0x3c50a37b, 0x7c3d8450, 0xa2baa05e, 0x32c6fb24, 0x947d9f72, 0x9fc7aa96, 0x644e37b4, 0xd5ca9559,
+    0x15d0bdcb, 0x3feda773, 0x6f7202de, 0x33cb9bad, 0xf24c3aa7, 0xfd15aaf1, 0x001c011a, 0xa5db0131,
+    0xaffafd09, 0x808a6420, 0x64f0e2f7, 0xe20a25c7, 0x9c4f08f0, 0x4581e976, 0x036f3621, 0x7befba1f,
+    0x87d4e816, 0x75c80819, 0x1dc1b852, 0x8794b7b8, 0xa44f800f, 0xb5803751, 0x06269e5d, 0x7e5709f8,
+    0x2360a700, 0x1ce2351b, 0x419fba53, 0xc03aab1c, 0x471a7cee, 0x264fd1be, 0xa29d1009, 0x2e2f15c7,
+    0xae94da1b, 0x72400f09, 0x0e9bdd03, 0xcfa74746, 0x38dc43ce, 0xd1852780, 0xbdaa8293, 0x2128ff3c,
+    0xd228334b, 0x29df0d68, 0x239881a6, 0x5bfddd87, 0x655968ac, 0x3c5c9cee, 0x9246d879, 0xe4b537fa,
+    0xd3651e55, 0xfdad7251, 0x9a403c12, 0xd350137a, 0x92a45663, 0xfc2e7cad, 0x5aa834cb, 0x89877da3,
+    0xe8d97980, 0x3d8c1e07, 0x6c1586ff, 0xd2c7a29f, 0x0d5d0bc9, 0xbf2e7c33, 0x6234de80, 0x4e975362,
+    0xc6a6d213, 0xa5dc5ef7, 0x0aaa90c4, 0x8f8bac38, 0x177cf948, 0xb5eaec69, 0xf207b113, 0x5c3cfea9,
+    0xd484a3c0, 0xa62f408d, 0xe86a23eb, 0x475c1eb0, 0x25733afb, 0xdfadea9d, 0xdb708d2e, 0xf5b18146,
+    0xb39b5768, 0x0f3018b9, 0x4a4f53e7, 0x2b2cfebe, 0x5f0817af, 0x158190f3, 0x27e15e2b, 0x24d4f7b6,
+    0xf0907f1f, 0x21e93832, 0xd4338e59, 0x304d6406, 0x4b7ba951, 0xdd2f3f28, 0x9fb365c2, 0x976a967a,
+    0x3e3b2104, 0x58f91d63, 0x36ee9f6d, 0x93b6d385, 0xd392fb03, 0x09b4096a, 0x6b4050ab, 0xae9972e8,
+    0xa83bc95a, 0x390c5b89, 0x6085aff0, 0x470303ef, 0xd39e447d, 0x8d3d88e5, 0xe809d442, 0x16379adf,
+    0x2e8628e0, 0x1438ab22, 0x6d15d931, 0xcff4dc68, 0xf125b341, 0x1c687576, 0xd3f4166e, 0x8bb7b9aa,
+    0x7279f045, 0xed0eb461, 0xb6dc30c3, 0x91d2feb1, 0x993294c5, 0x9cf45079, 0x321d9394, 0x9db549a8,
+    0xd4cad88a, 0x9df06430, 0x62c5806f, 0xde5bff6f, 0x58e3089f, 0xbbe43bdf, 0x4abdd5b0, 0xcee4b9bc,
+    0xf05e70b9, 0xb4c16d3b, 0xc7780538, 0x4811ae8c, 0x50639510, 0x648c3fff, 0x367d56d2, 0x8b1d9797,
+    0x9fa6af39, 0xaf9ecf57, 0xcc31ccf7, 0xd80d9a91, 0xd69ca39f, 0x514a2937, 0xd82de194, 0x17c05c0e,
+    0x65278064, 0x7db9e097, 0xa407ac5d, 0x31cc3d94, 0xb7cfadfc, 0x78eeacc8, 0xb1f2cb63, 0x7b15e888,
+    0x1287833b, 0x338bee94, 0x3fa611c9, 0xa5f5c9eb, 0x6503edd4, 0x71396d33, 0x55830b26, 0x62314ba1,
+    0xad802ec3, 0x7dad0749, 0x14fd9a0d, 0x6f3c3ac6, 0xc6103692, 0x06dce964, 0x6f062821, 0x1ae45fb1,
+    0x16abd742, 0xb5c3f321, 0xc9ccaf82, 0x54b34697, 0xcaa138ca, 0x4fcfc824, 0x9a1f09ff, 0x19a687de,
+    0xec7c7355, 0x67945fe8, 0x5550ea57, 0xdc5746ea, 0x342e1442, 0x04eca3df, 0x8d0b65a7, 0x0c0b7b3a,
+    0x16b1a1de, 0x38475ab4, 0xe88c66e4, 0xa47cb6bb, 0x70e3f9f7, 0x334ac149, 0x20af97d1, 0x0516cd03,
+    0x7e31e2c6, 0xad856f1b, 0xc60fdc98, 0xf3f7c1d2, 0x5e2c142a, 0x3b5c8899, 0x1529ca4a, 0x4bc53eaf,
+    0xdfde79c6, 0x96374d1f, 0x2e30906e, 0x3fd96463, 0x365fe511, 0xb10c01e4, 0x4a25d0d4, 0xfe16c4b7,
+    0x81d8e14b, 0x16864c2a, 0x445abc32, 0xd1874c80, 0x0062b114, 0x80316357, 0x5447309a, 0x1785f7ff,
+    0x3a5ef209, 0x5236aaa1, 0x474fe19d, 0xac719da3, 0xae5d7c6e, 0xb5420a5b, 0x9eca94d8, 0x73af4c28,
+    0x5afe4557, 0x6e8d1476, 0xa93063af, 0x19d396df, 0x5af08d9e, 0x95ccda8a, 0x54ca02b1, 0x1ea2405a,
+    0xc199d5e7, 0x9b8e3b3c, 0x7a467824, 0x7d9f04fa, 0x407878c7, 0xea7591e6, 0x576babd1, 0x26a47f26,
+    0x4b6b6ed9, 0x67f5056e, 0xd98a7971, 0xd4bc3b5a, 0xd833f0ac, 0x7a89cd13, 0xbdb225d0, 0x627bd228,
+    0xd9f6f0d7, 0xeabd74ca, 0x956e1992, 0x5f22f4d9, 0x1b43540d, 0x5f70331a, 0xc904714e, 0x913dea4a,
+    0x2ae438bc, 0x303a34f0, 0x82c583d4, 0x355e5a91, 0xa627c1da, 0xd8e93c93, 0x5de5476d, 0xd217b49c,
+    0xc54d3657, 0x4be5e818, 0x5041df11, 0x90bde6ae, 0xfa0cc0d8, 0x3641f6c0, 0xc5c7833f, 0xd0812606,
+    0x9a86dc14, 0x2d8fb262, 0xe2facb81, 0x9b51bdde, 0x803ef22a, 0xd92ebdd6, 0xf11fb41a, 0x5dfe8800,
+    0xb701a2a6, 0x35f282fa, 0x4969e08e, 0xc7d2bcc8, 0x3ab612c6, 0x0044248d, 0x26598e72, 0x08725660,
+    0xa4e38770, 0x2017f519, 0xe4a740b9, 0xaf62a879, 0x2183375a, 0x829e7d21, 0x6ff0468c, 0xa97de2d1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000001334991897450568801\
+                         49688856635597007162669032647290798121690100488888732861290034376435130433536 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f,
+    0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b3, 0xa0cca1fb, 0xd3baa3e6,
+    0x00000000,
+    0x9b743679, 0x65c112b9, 0x578d6b30, 0xfa42bcfa, 0x4ae92dab, 0xdee3886a, 0x18128a12, 0xeebb49d1,
+    0x4f9be247, 0x5c31228e, 0x361a0c0c, 0x25c5adbc, 0xf46a11b0, 0x12af2aa6, 0xd9c35d4c, 0x307a9590,
+    0x4047589a, 0x8237cdb6, 0x9b256ac0, 0x349e0dea, 0xa5143b22, 0xe30c68df, 0x6eb6d9a5, 0x796995a5,
+    0x4461003b, 0xf4a653ee, 0xb742ad28, 0xefe0ae73, 0xf5a9f971, 0x9604197d, 0xfac66da6, 0x3f711fc1,
+    0xcdbe92c4, 0xbbf4612f, 0x655df0da, 0xba719cd4, 0x85c8a0c1, 0x2c281019, 0xedc7ace2, 0x91a1dd62,
+    0xeb49cbc7, 0x3b7cf3de, 0xdf3343a0, 0x14001360, 0xed6c7ddf, 0xf99f1e2d, 0x919ee7e9, 0xa0afb5db,
+    0x8a7219b5, 0xf294c90a, 0x75680ac4, 0x9acd8333, 0x0a3d5798, 0x5e47c841, 0x15a38717, 0xdb20fd2e,
+    0x10f00cb9, 0xfb21ed40, 0x29449d1a, 0x3f084d53, 0xfa09d404, 0x355319d8, 0x1fa82510, 0x5cf091e0,
+    0x0f3c15d4, 0x496967eb, 0x42556b53, 0xc9592ecd, 0xe4801233, 0x0b685e8b, 0x015a9cd5, 0x54599285,
+    0x2f0030b2, 0xf600a674, 0x50d3b94d, 0x47e5fe87, 0xd8b66124, 0xf64cf15a, 0x5008a2cc, 0x680bc4ce,
+    0x425f1b80, 0xafae1d25, 0xc956ea46, 0x154d6dca, 0xb22579ec, 0x789f0f22, 0x838660c2, 0x4785282c,
+    0x2aa2c8b0, 0x6ce63630, 0x0560d48e, 0x25092587, 0x2a7c5e7d, 0xd08c093c, 0xf83b11bb, 0x32c3968c,
+    0x376f35bb, 0xfcd13d55, 0x8a1df8aa, 0x46cf85c9, 0x4d226e05, 0xa7300b69, 0x9cd361c9, 0xb09c6838,
+    0x53aba130, 0xfcea81ff, 0x09e4ecc2, 0x44b15d64, 0x5b3c98ad, 0x08130e72, 0xe97b917d, 0x55118446,
+    0x77f0706a, 0x9ad1ef6b, 0x1efea320, 0x1f921bfa, 0xa5a3f7bf, 0x06bc29cb, 0x2fd9cd91, 0xec4256c4,
+    0x05c64151, 0x5b2e38db, 0x6f554689, 0x743aa49d, 0x1d170020, 0x35b59621, 0xd4fc09f3, 0x73ec92b0,
+    0x994acf76, 0x6ec685af, 0x76b94188, 0x9a9237f7, 0xe1d650c0, 0xb16cc6ad, 0x0163ca10, 0x31613c05,
+    0x58c55153, 0x3db041eb, 0x1c1d3d36, 0xdc35a313, 0x02360fe1, 0x2f5c0374, 0x368eefa1, 0x22cd239a,
+    0xd81d1ea1, 0xe3bf5d7d, 0x4409510e, 0xf7ff1469, 0x4d3ff9cb, 0xa78a1e23, 0xed0e7918, 0xbcca0241,
+    0x2cd3f7f3, 0x42f11eb9, 0xd94fc0fa, 0x38fa1c5f, 0xda67d766, 0x744eb507, 0xc3cfc557, 0xf283c1f2,
+    0x9f55bb87, 0xa9ab1d02, 0x33ab63f3, 0xe3521e91, 0x92fa7a2a, 0xe06cfa31, 0xfce2b6a1, 0x0cee3ca3,
+    0x7e51d22b, 0x03fd53ea, 0x9872334d, 0x7498bd14, 0xfa1b9400, 0x8f7b7e0f, 0xe8a3de4d, 0xd934f848,
+    0x6964ccbe, 0x71b7d0c2, 0xf9a12d65, 0x48b172c7, 0xe9fb6a90, 0xfee548fe, 0xf1962eec, 0xa3eb97bf,
+    0xb453fd8b, 0xda737274, 0xcbb4a296, 0x18edd7db, 0xe5f2e982, 0xa1c14fe6, 0xbcf85f99, 0xe5dac5ba,
+    0xfe17cc88, 0xddc43abb, 0xd99bb7d7, 0x488d95e7, 0x513224e8, 0xf6d6b4d9, 0xbbd055b9, 0x000c3c19,
+    0xdebae158, 0x59b5d732, 0x96edf29d, 0xaa5bd216, 0x96f960a5, 0x842bc632, 0x087cd7be, 0x379ff52a,
+    0x9bd3b496, 0xa2739a2d, 0xa53bc5b2, 0x757868a8, 0xf6acb605, 0xda81c4ea, 0x633a74ca, 0x268f2532,
+    0x44184202, 0xf4c413c1, 0xe811c886, 0x6ae5059d, 0x7a3b9421, 0x7c7d69e7, 0x4fdbc699, 0x15bb2121,
+    0x64952e05, 0x9d76b644, 0x09ae9a17, 0x49cf003b, 0xd2ea5312, 0xaa9f7233, 0x5fd2d0fc, 0x60419f4b,
+    0x443b53b0, 0x807f2e57, 0x4e88db20, 0x0c8ab3a5, 0xbaf829b1, 0xdf45b2c3, 0xfaaf5cd6, 0x929ca94b,
+    0x11515105, 0x68b1e5da, 0xfbc1fab4, 0x8a2aba71, 0x6347ad34, 0xb9c49bb8, 0x8a58fcf2, 0xc90c9bc5,
+    0xbb3cd2a8, 0x890ed712, 0x2a19d850, 0x8674d73a, 0x4fba6225, 0x68915d7d, 0xb8fc38c1, 0x88a2f00f,
+    0x5639064c, 0xa1f77adc, 0x1b7900ee, 0x78a3b618, 0x64851e38, 0x7af39855, 0x599986ab, 0x8ad50f9c,
+    0x061f8af0, 0xdc1bfaf8, 0x601da62a, 0xfd6c74c6, 0xfa5ba351, 0x0088f814, 0x75cb66bc, 0x72792de2,
+    0x95ee9432, 0x8d013a5e, 0xf892fadd, 0xa3ce2c95, 0x450eecea, 0x924f2d7c, 0xef5f6a32, 0x7d62551b,
+    0x80d38c2e, 0x53b928e7, 0xe7e36a42, 0x55dedaab, 0xe43ea83c, 0x6d6acc8a, 0xb0e9af94, 0x5dcf8699,
+    0x46307e98, 0xe7d0b0e0, 0x1f53f0b8, 0x5c0e3041, 0xf02f9bad, 0xbed126a2, 0x2a2b92cf, 0xbc1868f1,
+    0x5a5ea0e4, 0xb3fa9b1a, 0xce809d85, 0x455b493f, 0x8fcde25f, 0x93346e91, 0x2e7de85a, 0xe9acfac1,
+    0xcbbce4b2, 0xc3fc8fed, 0x0b625c21, 0x548238ca, 0xb5d86be2, 0x1d8dbaa4, 0xb63c8480, 0x471527e3,
+    0x635078b7, 0x6f35425c, 0xca42a5f7, 0x8388035d, 0x6a7eba31, 0x83e96807, 0x00f40494, 0x432d7ded,
+    0xe48164cc, 0xcb57b10a, 0xe8327513, 0x68732676, 0x60e1232f, 0x15abd34a, 0x76057e6a, 0x228d013f,
+    0x4d4f6771, 0xe88efa43, 0x323ae2f4, 0xb7fb1a72, 0x49819ba9, 0x520f0250, 0xaa5d433e, 0xcaf41bee,
+    0x5a484cec, 0xa35da5af, 0x8ddca162, 0x3f2e6cca, 0x687f75db, 0xdd8cb2c6, 0xeec2595b, 0xaba2b41b,
+    0xbd9535ed, 0x55291df5, 0xdf0bfb34, 0x959d6501, 0xa4e9701f, 0x11c018e2, 0xe6595ba7, 0x15af7241,
+    0xd1517fb9, 0x601e83fd, 0x8719f33c, 0xfd5c111a, 0xba586cb3, 0x4482315f, 0x7505d2b6, 0xd8b25a99,
+    0x56f2d623, 0xaccaaa89, 0x002736fe, 0xe4fcfb1a, 0xb4de61a3, 0x255abd1a, 0x2e0ad5f2, 0x2cf3a630,
+    0x51b0e315, 0x1e64e145, 0x316aca95, 0x0645be6b, 0xe5f9722f, 0x7d075ee2, 0xe5b9b200, 0x8e48e758,
+    0x868f9021, 0x139b2d48, 0x5e0e29ec, 0x4f7ac0f1, 0xac2a76e5, 0x13b03d87, 0xcfb454a2, 0x187a1d83,
+    0x3010275c, 0x713831a6, 0x6a2ef242, 0x5c20265d, 0xc84bd57a, 0x49ffd654, 0x0c4626d8, 0x7d120591,
+    0x5982f135, 0x2dc1350d, 0xaca31e81, 0x270e0a1b, 0x6b536844, 0x88db5378, 0x205b860d, 0x8a3615c7,
+    0x639d23bd, 0x3c7c4f21, 0x65e9702a, 0x4e72e81e, 0x73e5d1b7, 0x4277b42a, 0x2827adf6, 0x98c88769,
+    0x617d53ed, 0x9407d2c3, 0x51d19667, 0x167b0e59, 0x1a0fe55e, 0xbd847186, 0x16afbb7e, 0x004cbca3,
+    0xbd1b49ad, 0x55464dec, 0x5451dd19, 0x3e6c5a47, 0xfdeb6ea1, 0x7bca7cf7, 0xc95df0bb, 0x9a3569a4,
+    0x45b06c61, 0x87188c8e, 0x373e6a88, 0x19f34ba2, 0xe2c3b3c1, 0x29bbe155, 0xe458715d, 0x3ba39c76,
+    0x0df87fa0, 0xc0faffec, 0x7ccbda1f, 0xe5aa0766, 0xcdab7d62, 0xa49b6efc, 0x24a238af, 0xf07a20c9,
+    0xc2607a48, 0x604c6914, 0xf0836b92, 0x9de7ca4a, 0x3179af5d, 0x84a6d980, 0x47a9c378, 0xdb1b54bc,
+    0x2c1dbefa, 0xf6519bbd, 0x3c129b13, 0xd4f818ca, 0x690c64aa, 0x350e9eef, 0x8def930d, 0x8a05c4aa,
+    0x771853ce, 0x62c79e1d, 0x09ca8a15, 0xaea47577, 0xe24d88b3, 0xa19c08fd, 0x543f9b23, 0x76dca03e,
+    0x209b5ee1, 0x7fbe5eef, 0x3aa29ed2, 0x849ebff0, 0xb570e5e7, 0x893b6fc2, 0x4fa4c70a, 0x38b2c6c5,
+    0xffd6f9cd, 0x7b805dbc, 0xb4c0b8e5, 0xbbbc0ead, 0x56783968, 0x97c37b51, 0x32643b1f, 0x453babc5,
+    0xd6bc802c, 0xa7f52140, 0xf74501c2, 0x517997f2, 0x39a68df9, 0x4b29de82, 0x4596bcbf, 0x0a615b8d,
+    0x974a47ef, 0xa3cce0e9, 0x18dc070b, 0xfeb6d310, 0x5a0a87ba, 0xf0072e6f, 0xd88e970b, 0x5fccfed8,
+    0x85ff7584, 0xaee41b1b, 0x09165e20, 0x02785a7a, 0x50674657, 0xa9395ddd, 0xf35cbbb7, 0x2a24e9c9,
+    0x1817e974, 0xc957ab1a, 0x3429a021, 0x36f6bb2e, 0x4376fc1f, 0xaa61d30b, 0xa8670f5e, 0x6305cb48,
+    0xa8327a9e, 0x2e3ea33d, 0xa5028a98, 0xcc5d5d19, 0xf383c9f2, 0x34fc7983, 0xdc21b309, 0x9d3e5121,
+    0x626149a1, 0x6f5895b4, 0x415c65b3, 0x869603e7, 0xcafb4c63, 0x0f3958dc, 0xe7a6c9c3, 0x00241443,
+    0x8bce71aa, 0x25847a57, 0x4fe5cc4e, 0x4b5065c4, 0xd6dd8754, 0x5163f5a5, 0x272f0f77, 0x3a34a1b3,
+    0xe28c0cbe, 0xb1abe411, 0x8e3123a7, 0xace8e4e7, 0xef56b8b3, 0xc2a432ed, 0xcd71428b, 0x05aaddbd,
+    0xe95dbbf4, 0x6b728609, 0x1e137a06, 0x7b2e8aea, 0x96adf6c9, 0x81e0c3ee, 0x83ea0cf6, 0xf74aee80,
+    0xa5cdb642, 0x315a091b, 0xd49826e8, 0x3c3389f6, 0x5244ac01, 0x62e8b7fc, 0x5723e0bf, 0x220ba12c,
+    0x861de52f, 0x093cb622, 0x978f739e, 0x9cead3b9, 0x3233fdcb, 0xb8c30020, 0xbde6c1f9, 0x6b605651,
+    0x5a91eb19, 0xbf3beef9, 0x38193204, 0xf417baa0, 0x74ab90de, 0x0358e499, 0xd6b31d0d, 0x137d8545,
+    0xa8f5ab9e, 0xb5e83ea7, 0xb1b58eae, 0x879b1268, 0x03a35e4f, 0x23c951b4, 0x1399a2f5, 0xed5a6fe6,
+    0x35a42c71, 0xda09e309, 0xd794b629, 0x03018a08, 0xe7373fff, 0x09cfd3d4, 0x6bc3d998, 0xed100785,
+    0x4bfbecca, 0x26536968, 0x8f9dc32b, 0x5ef4851d, 0xbe8878ed, 0x750d436a, 0x622b5ed2, 0xd86bce1c,
+    0xd39f1399, 0x9fd20450, 0x056119a6, 0x04e512c9, 0xda33d7df, 0x8a6a952a, 0xe257c298, 0xd317e510,
+    0x3e2bea23, 0xa13e47cf, 0xced55b5b, 0x981179a8, 0x802ce948, 0x5f60b51b, 0x2f321079, 0xb94a9014,
+    0xb770e77d, 0x00f14bcf, 0x5ff67453, 0xdb6361af, 0x8ed79115, 0x3e59e146, 0x0bc9a660, 0xc986beff,
+    0x2f59afa7, 0x5dcbf99d, 0xa44e1174, 0x0e17d47c, 0x0b04eb87, 0xdc134098, 0x9cd8a6dc, 0xeac69e7e,
+    0xe78bffb2, 0x752da342, 0xdbbe0d83, 0x9558cea9, 0x50dd11fa, 0x7832ff6a, 0x0eeaf0bd, 0x656331ab,
+    0x1a7855c9, 0x60ade653, 0x6e31d4f7, 0x37168983, 0x59ab041b, 0x38db072f, 0x05f578da, 0x023dc114,
+    0x81d3800d, 0x04f0315f, 0x26f9accc, 0x0c7d6027, 0xd9bf7baa, 0x191fa4a6, 0x5bf86c28, 0x11ad5429,
+    0x5ad692cd, 0xd21fcc65, 0x991f9761, 0x3fec6728, 0xac8a05b8, 0x0807efb5, 0xc84fc757, 0x7c8b0d22,
+    0xdd661c8c, 0xcb9c67cc, 0xcbd93a4d, 0x4395a05b, 0x7a06dac7, 0xcb07733d, 0xf7625cfd, 0x5ab30f83,
+    0xa9341b4b, 0x95a5e8e5, 0x246ae293, 0x3f79fc47, 0xab7a6b7f, 0x59d90557, 0xa617d5b4, 0x5efe641a,
+    0xc23c51fe, 0x6b7ef670, 0x9cf8bb63, 0xbaa7e35f, 0xaf069106, 0xb44d5ed7, 0x5aec06f9, 0x3bcbd702,
+    0xf4f62e92, 0xe57e313d, 0x405d0c00, 0x2981fec6, 0x3b0d3457, 0x309c1bbd, 0x798c71bb, 0x41cad60b,
+    0x62cf045c, 0x90be297a, 0x80cceb94, 0x0e1b5d70, 0x69c391b8, 0x23aab691, 0x5a0376b1, 0x233c8408,
+    0x5fe264c1, 0xc6eb4fcd, 0x623398fe, 0x4081e305, 0xb6dfb689, 0x5f846c90, 0x774577b8, 0xa2211d69,
+    0x8336e3e5, 0x249d27ae, 0x1c99d9f9, 0x44baf120, 0xfd55d3ef, 0x38d7ace7, 0x6f0fe592, 0xff898a7b,
+    0xb69d4e2a, 0x4e4a5bba, 0x22da9abb, 0xec682fe1, 0x2c4f08a5, 0xfa8afb08, 0x7ce5a465, 0x0a1ca913,
+    0xbf7f6dbf, 0xb2572897, 0x8fd60d1d, 0x6759a9c1, 0x90c3c5d3, 0xee44f842, 0x3356993e, 0x7d6ffd99,
+    0xc7c07ba0, 0xdbf969bc, 0x21cec39a, 0x836c4c87, 0x3d6fc92f, 0x78524f6a, 0xde59f73f, 0x8dc9d7a0,
+    0xdb9361b0, 0xcd98dd46, 0x85fa0e35, 0xd89a6c4d, 0x675bea02, 0xa50e3909, 0x422feb62, 0x1e0e965c,
+    0x7160bbc2, 0xfc3fe60a, 0x7a13edf8, 0x1ec877e7, 0xd68bae7c, 0xe8cab4d7, 0x750036b3, 0x5445ae37,
+    0x54edb29b, 0xb35b0437, 0x9f41a4c5, 0xd58b3587, 0xad1f40d4, 0x4bc074ae, 0xec7fa536, 0x25619c5b,
+    0x579e4ebc, 0x31799b5c, 0x8ab3d448, 0xaa7f0c97, 0x1c5d8b3b, 0x9fbaa030, 0xbda72a13, 0x5da935f4,
+    0x7e4ba70f, 0x121fcb49, 0x78702527, 0x8053e3d5, 0xe0e7b470, 0x40886ce0, 0x421e6362, 0x02d639b9,
+    0xa4d9ad49, 0xa8b4e1d9, 0x9643300e, 0x4786a1a3, 0xc3d32ff0, 0xd74acb7a, 0xde997845, 0x0f4d6670,
+    0xcd4662b3, 0x72e966c5, 0x374f0d86, 0x286a09f1, 0xe4f97c5b, 0x7a2b0c9e, 0xafa3d193, 0x4eab1097,
+    0xb501739f, 0xe45b4712, 0xe4bf2f94, 0x14301281, 0x8b316495, 0x32d5500b, 0xad0d167d, 0x41e36d41,
+    0x3a9764b0, 0x467977e1, 0x6784ecc4, 0x5e27cf4a, 0x7e31229f, 0xf784466d, 0x7d9bb978, 0x66c6b7b6,
+    0xa3eb3480, 0x8444aae9, 0xb4773cfc, 0xdc46e3df, 0x33afb747, 0x9d0c5f99, 0x9b02a522, 0xddbf7883,
+    0x73c2ebe4, 0x06a64f38, 0x5057c854, 0x04a32041, 0x4e37326a, 0x37d25881, 0xb86c0bac, 0x252cb1f7,
+    0xf94349da, 0x76dfc93e, 0x57a48882, 0xcc3eebef, 0x165b0acd, 0xc2ec62c6, 0x70e97bfe, 0x97a70972,
+    0x04e499b0, 0xdaf5657a, 0x84e43473, 0xae24aab0, 0x504f5778, 0x3352226f, 0x3689a158, 0x1fc48be8,
+    0x508d7618, 0x32d9fa81, 0x84c6c3fb, 0xbc454544, 0xf599a0b2, 0x966145df, 0x98876a3c, 0xd3fc72d7,
+    0x2dcf14ef, 0x81d63fa1, 0x4e64d419, 0x2ab61123, 0x813c476a, 0x24e863ac, 0x47ac911d, 0x450553f7,
+    0xef3fa2b9, 0x68011018, 0xe89b101a, 0x495d7a1f, 0xec74257b, 0x86d0f790, 0xa5d57050, 0x34bf40c6,
+    0xca2945df, 0x8991e068, 0xdbe2b00a, 0xb97c45fb, 0x1350c57b, 0x9767bf55, 0x1a37bead, 0x41b3bb74,
+    0x20fc524e, 0x397ee356, 0x9970f1b8, 0x03afa13e, 0x6acd1d85, 0xca4fdb07, 0x46e293c8, 0xcdadc9a2,
+    0x0da1c99a, 0xed2f2f2c, 0x1b9b898c, 0x49e1b013, 0xa6db90af, 0xa27bbc5d, 0x3371771c, 0x8a70d30d,
+    0xc3597ada, 0xb17455ac, 0x536a2f83, 0xb96725aa, 0x55bb6224, 0x4cedd28d, 0x0f65f24c, 0x060d51a5,
+    0x109b4cf9, 0xc26d8984, 0xc2f02ff1, 0x2583049a, 0x4143eab1, 0xbc40e131, 0x4e4ffed6, 0x24bf998e,
+    0x3ddd7710, 0xc08144a1, 0xdb4c66fd, 0x772bc696, 0xd077983e, 0x204758e6, 0xf10d0099, 0xabb5e79b,
+    0x044f915e, 0x8dfa535d, 0x1fe911f4, 0xb5dc36ef, 0xcc269888, 0x02b3b2d7, 0xc0e1f3c7, 0xc693bd83,
+    0x8ffea036, 0xdac4635d, 0xe54c8a8e, 0x5ef0164a, 0xf150d65a, 0x41d391ca, 0x2e791f09, 0x91864f4c,
+    0xa2493053, 0x60fd7c9f, 0xbe9c3045, 0x2c890335, 0xb8b1af31, 0x3f3413c9, 0xf6a1b252, 0xb60740ca,
+    0xe3cddca4, 0xae7fbfae, 0x07313f47, 0x14fd7892, 0x3c38766e, 0x2d419c3f, 0x49cd590e, 0x0aa3a799,
+    0x427f4260, 0x2b1cbc5d, 0x4845b6c2, 0x64ace645, 0xbaa91104, 0x3f9c5f3c, 0x26504786, 0xc97ab4b1,
+    0x2b9871d6, 0x5058acd3, 0xe6bdc1d4, 0xa692aaab, 0xe7d9312a, 0x77419093, 0x38795fe9, 0xbd019564,
+    0x2fa8f2a0, 0x5c8f15de, 0x187aa465, 0x45ccea83, 0x38fe9240, 0xe4780feb, 0x84233a9f, 0x7ad1168c,
+    0xaaacf26a, 0x6d387e60, 0x136eef9a, 0x45e67a35, 0x2d3aa47b, 0xf3e05a1d, 0x0566269b, 0xec6ed1d0,
+    0xa222b4c7, 0xf8ce6610, 0x60ae1756, 0x26e76263, 0x150377d5, 0x0ef8b5b9, 0x24a06d0d, 0x86e9d049,
+    0x01319b30, 0xfca2050b, 0xea1d5654, 0x0071bcd1, 0x9dc5ef72, 0x6f361a52, 0xd44d0375, 0xcd303127,
+    0x0925ae01, 0x853f5d65, 0x3c66fd86, 0xbd4cb3ba, 0xcb30c8c4, 0x3d1a5f66, 0x8adc90d0, 0xb36b8cae,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000667495948725284400\
+                         74844428317798503581334516323645399060845050244444366430645017188217565216768 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af,
+    0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7859, 0xd06650fd, 0xe9dd51f2,
+    0x00000000,
+    0xc77d68de, 0x6fa5062a, 0x13a67b76, 0x1c949a8d, 0x01e43a29, 0x91e6d7f1, 0xae17eb9a, 0x8adf35ef,
+    0x6538d457, 0x93e3a6e6, 0x6d6d5e7e, 0x63e86532, 0x172687b1, 0x0684bb63, 0xb8a98869, 0xa0219aa9,
+    0x81ad7377, 0x83c0bcb7, 0x86db677c, 0xaf8ab170, 0x4c6db423, 0x47c380b2, 0x32f87979, 0xe145bb4a,
+    0x8be12da0, 0x622dc0ca, 0xb1568414, 0x616ca623, 0xa12969ff, 0x4b641ca8, 0xd09a1fd3, 0x0d80547c,
+    0x23ccf348, 0x8ba22f43, 0x1401fa9c, 0x2193dade, 0xb76b360f, 0x93fecd82, 0x78d892dc, 0xd3925cbd,
+    0xec886d50, 0xee3783aa, 0xd112b210, 0x75b88c17, 0x52f9aa4d, 0x0bfd1051, 0x2c084e63, 0x9b36a7fd,
+    0x47a7b232, 0x0ef7ec28, 0x6b51f2e5, 0x9476fdfb, 0xd69c7793, 0x6d197a89, 0x519567f6, 0x24480e3e,
+    0x9b8d270c, 0x7b7c38e0, 0x5be08ec2, 0x522452e9, 0x6661107b, 0xf3a46c6b, 0xb8452a44, 0xf99c2d79,
+    0x300c9b77, 0xecf402eb, 0x2d2ea15e, 0x60962807, 0xf89c3e90, 0xbb479de1, 0xf1f08c2c, 0x8b07964b,
+    0x82b1f2ad, 0x2369e2b0, 0xab5f249e, 0x27fa21fd, 0xf3b7bc0b, 0xf5951de1, 0x0eda49cd, 0x98da5b3e,
+    0xe57295e9, 0x735bef39, 0xa717cbf1, 0xa978bae5, 0xb1ee5556, 0x9ee319a4, 0x75ad097a, 0xb02e404e,
+    0x4a693df8, 0xace6b2ff, 0xb66173b1, 0xc7652aea, 0xb779a97f, 0x19301d18, 0x877dfe70, 0x2598fb96,
+    0x3d9c592e, 0x062268e1, 0x9cc49231, 0x280b46b1, 0x455dea41, 0x3c53a5a2, 0xcb09e3a2, 0x27521ce8,
+    0x842b77ff, 0x0929ee30, 0xaea3780e, 0x93392e3c, 0x979d6b3e, 0xe6542f6d, 0xbcead299, 0x81c23dbd,
+    0x34a04e6e, 0x557c0ea2, 0xb41cce71, 0xc05b4e07, 0xf4d09aee, 0xa05c7b32, 0xf255ea77, 0x26038f42,
+    0xcad86d00, 0x72d88640, 0xa98d9aa5, 0xa22885d4, 0xd2ea4e96, 0x89726eb2, 0xb3b2df78, 0x00e7cd6d,
+    0x6c7b4a8a, 0x38505114, 0x82c1b414, 0xe74a2c0c, 0x7e51a5c0, 0xebbddbbc, 0x9a1b9e47, 0xca611ff0,
+    0x394e0bff, 0xbb9b3391, 0x9cd9ca04, 0x64c5f185, 0x6788cf33, 0xf0f2f9ae, 0x620a6351, 0x62a69a33,
+    0x398d96d9, 0xe0f2403b, 0xc70231f3, 0x6fb13682, 0x71de24c7, 0x3c7592c4, 0x2dbe8f87, 0x976d1d2d,
+    0xbd1c7353, 0x51e659ba, 0x817ab620, 0xa6d903cc, 0x2323b5d1, 0x1674524a, 0xbf7c194a, 0x957dbeff,
+    0x500122fb, 0x936f5e1f, 0xc344819a, 0xa1b94e0a, 0x1dc633b0, 0xcc42124a, 0xe3e767f2, 0x41db8222,
+    0x6e496cef, 0x76baea18, 0xe3847cbc, 0x5ec48f74, 0x385bdce3, 0x0910ba24, 0x22d6fb7d, 0xc463c1ad,
+    0x77865b91, 0x0924d9c8, 0x59ec4189, 0x8fa0f36e, 0x2a057f40, 0x1fecb607, 0xab152130, 0x9fa729ba,
+    0x9abb1867, 0x4ec97a2b, 0x796fcef0, 0x27a0d51e, 0xe0c18330, 0x4a3129f2, 0xf6378142, 0xc119943d,
+    0xa8065af3, 0xf160f6c2, 0x3945de02, 0xeab1e448, 0x80921e82, 0x40e8bb11, 0x9d5836e9, 0x024677ab,
+    0x1c2fe5d8, 0xba535bc0, 0xca67beaf, 0xfadc0931, 0x881a86e3, 0x95257a40, 0xd4a31ca0, 0x138accb9,
+    0x3cc72039, 0x45f985e1, 0x17a488de, 0xdb8f9659, 0xa5154989, 0x462b893c, 0x5c05e8a3, 0x630d6a3e,
+    0xe1efe20c, 0x5df962f5, 0xa0a8f1c1, 0xbdc3c239, 0x4ade7464, 0xa77abc9c, 0xd3a492a1, 0xc5914f30,
+    0x2a0a7f56, 0xbdd3bbff, 0xeb103b31, 0x94abd895, 0x4e70fb94, 0x49fc6576, 0xab3938b4, 0x2f9102d2,
+    0xd280e725, 0x7ec85b0a, 0xe4f05367, 0x53d15667, 0xd6a988d5, 0xb921e442, 0x09b33c46, 0xd1e78d08,
+    0xf5a3c631, 0x83069e62, 0xe317ef71, 0x9ff8d108, 0xfdde6dda, 0x3d0dcf72, 0xac25141a, 0xc869512e,
+    0x3d2e6ce3, 0x64c67e6b, 0xb6854c45, 0x6fd92319, 0xf675dec9, 0x1cd8cd4c, 0x2d4f531d, 0xc9db2aeb,
+    0xd492a401, 0xbf8c79d2, 0xd73aa37b, 0x6741ad79, 0xe9615099, 0x1db64c42, 0xdc85df33, 0x69862296,
+    0x29cfbad7, 0x27aa25a1, 0x913bb41a, 0x5d7eabde, 0x6759add3, 0xb099a831, 0x5599e533, 0xfb2ff95a,
+    0xcd6ef23f, 0x85dd1266, 0xc4812fd6, 0x5cb82301, 0xe6e936a4, 0x0e8f1c8f, 0x84a17473, 0x91d7a74b,
+    0x985f2ec9, 0xa72d03de, 0xc37f1e49, 0xd24aeb10, 0x253921f1, 0x747795be, 0x0d23b624, 0xebdcf8e4,
+    0xcf6d11c3, 0x276e8ede, 0x26607f02, 0x90d42aa2, 0xdbdbd76d, 0x1746f0c8, 0x87ea615c, 0x4ab57bb8,
+    0xa157798e, 0xf4907112, 0xb86d3d9d, 0xa13fcd85, 0x9742df41, 0xc58547c8, 0x25a56c60, 0x0035f0e9,
+    0x6c69d4e5, 0x21912979, 0x2e56eadd, 0x1dd4db7e, 0xfa11de1e, 0xfe5cc25a, 0xf52a856b, 0xab228dc3,
+    0xe422e4d1, 0xbad23a46, 0xe5dfcd3d, 0xb28a7e5e, 0x50dadc7b, 0x76e022b4, 0x9fcd5a52, 0x15283b33,
+    0xd790c27f, 0xa7ed4ac8, 0x5e61bef8, 0x2c7563da, 0x10fe18dc, 0xd3b3e6d8, 0x31e79f9e, 0xc163b3c0,
+    0x972c181a, 0x89387cb0, 0x358a12c3, 0xf0bc6ff3, 0x611fe254, 0x8908f866, 0x5a9ba2f4, 0x08133a68,
+    0x1ad175eb, 0x0e272fbd, 0x3b7594ca, 0xd613f90e, 0xda8fb8f8, 0x59ad83d1, 0xe824ed9f, 0x6bb88741,
+    0x19c94f96, 0xb86cb79d, 0x888855ba, 0x960cdea9, 0x928ac3b1, 0x6c17b4b5, 0xcc26e67d, 0xad22b774,
+    0x51bb0a47, 0xf69cbb8a, 0xb8cc11a6, 0xf89574a2, 0xe0643e72, 0x20c2fbf1, 0x473de823, 0x4662eb6a,
+    0x29f4b02d, 0x8df81bb0, 0x53780b4d, 0x7ad990b8, 0x18eef774, 0x3cab05de, 0x36560f06, 0x38df475c,
+    0x588efb12, 0xc027a13b, 0x48e1b5dc, 0x8148f1a0, 0x77d5eed1, 0x6c94096f, 0xf95a5c57, 0x3f0bf61f,
+    0xf4b6548b, 0x0a5f901e, 0x1a2f7672, 0xc9741b24, 0x575e937b, 0x7318cb86, 0x0ac1bac6, 0x0b086c67,
+    0xcca601c3, 0x127ae9ce, 0x909b8512, 0x848e8621, 0x1e0f02bf, 0xf4a41f55, 0xa1d2203d, 0xc4ee862c,
+    0x654a4a3c, 0x06f39e05, 0x53372c9d, 0x99e26fc0, 0x1bb4117b, 0x7772fb84, 0x84ec36c3, 0x49cf1bd4,
+    0xcc72e942, 0x5804e15d, 0x06472e7c, 0x8ff8c7e6, 0x1c0a5dcd, 0x30ae39ca, 0xf78099da, 0x98e5c027,
+    0x28de8100, 0x65ed8145, 0xd2b79f21, 0x62684215, 0x4457a29a, 0xa163452e, 0x936b4611, 0x45aee9f4,
+    0x41f02a3d, 0xbb4b94b7, 0x4e331330, 0x296a6538, 0xe353ffd9, 0x502fb9a5, 0xc6d8a395, 0x7c24300c,
+    0x012c1f5e, 0x62524606, 0x9f9a4fe4, 0x14c5690a, 0xc2caf383, 0x587be4e8, 0xc5ffe130, 0x47bced70,
+    0xeaee6e59, 0x2530d989, 0xd9ddc29d, 0x46e5c982, 0xb3f07579, 0x585bd3b0, 0x25726ab8, 0x85d6a595,
+    0x6dc7a4ec, 0xfad9188e, 0x2bf724ad, 0x52ae975c, 0x30043777, 0x768bd459, 0xe83aaf71, 0x2524e1de,
+    0x783c24fa, 0x2d7aa0cf, 0x5d533815, 0x552f2e45, 0x1400700a, 0x20676e8c, 0xfb5e612b, 0x06f30edd,
+    0x1e778cb0, 0x4a86bf2c, 0x6f5ccba1, 0x2e2f89a4, 0x51c7f90b, 0x6cc19afb, 0x93e054e1, 0xf7e8db1d,
+    0xb227b92e, 0x52da783d, 0x20406967, 0x74c5cea6, 0x7f6c36d7, 0x6517df43, 0xbc988430, 0x9db3fa33,
+    0x7d04a367, 0x8f7cbc94, 0x3369076a, 0x273449f3, 0xf9f0b7d3, 0x3988a9d2, 0x9e5f7980, 0xa7480f3b,
+    0x45eb6751, 0x9e9e97e0, 0x335cd509, 0xc8895446, 0x22ef3fb0, 0x57ee0366, 0x4ae86021, 0xb2781d66,
+    0x6fafe252, 0xabcdcdf4, 0xfde19634, 0xc3d9ec9b, 0x710c90a4, 0xcd345a06, 0xea4f6a00, 0xb3876050,
+    0x2a5889d0, 0x9721009a, 0x175522cd, 0xe8ca7615, 0x4e77d700, 0x9ba08d07, 0x8fb485c0, 0xfc876178,
+    0x54ce6ca0, 0x63e8123c, 0x7c34ec81, 0x7cb84ce2, 0x96b9a6e2, 0xb7f2c6a9, 0xf7ffc5b0, 0x219c4c1b,
+    0xb03f2742, 0xbd9c62c5, 0xee1fb61a, 0x7f855dda, 0x8e6c0b15, 0xb4aaa421, 0x60068939, 0x71d9dd43,
+    0x10df8016, 0x72bea68a, 0x2cdc9aad, 0x88b43f43, 0x59277322, 0xe770f3ef, 0xa02bca9d, 0x999dc4a5,
+    0xb05660be, 0xea05b3e3, 0x2999b155, 0x5197f9c9, 0x591067d2, 0xfe7e25a6, 0x612d529c, 0x79a14bff,
+    0x22b0435e, 0x375a5589, 0x1fa77ff5, 0xb29a9b52, 0xdf62fa83, 0x7fedaff8, 0xfc0ef4fc, 0x968c29f9,
+    0x1cdcbbf3, 0xcb321fd5, 0xa83dd79d, 0x2903ceb7, 0xbc741a15, 0x49ad51e6, 0xb155f8fb, 0x6b7be0f2,
+    0x4a3ac6da, 0xa96b0eff, 0xd5a390fc, 0x8fe118ab, 0x27436679, 0xd183ccdb, 0x8193a869, 0x28b96609,
+    0xc2c3b7fb, 0xe914c100, 0xf878b1ee, 0xa5959634, 0x9c81b064, 0x6d0274b6, 0x47377379, 0x270613d8,
+    0x535a4023, 0x86e40564, 0x55a49590, 0xca176f95, 0x85c75736, 0x16cca9dc, 0x54127d45, 0x083cea84,
+    0xfa2c9f33, 0x5b16b91a, 0x7f4853e4, 0xa92c075e, 0xd9a1327c, 0xabbfc411, 0x9d888cbb, 0x98b1e247,
+    0x3a8132a5, 0xe85ce479, 0x69e17f6f, 0x47c0cac4, 0x45d39244, 0x2b0acc4f, 0x8bcf3eae, 0xa4f9ab1f,
+    0xc5b432ae, 0x9ce1b3ba, 0x28eb9d99, 0x6de62f58, 0xbed7b112, 0x2cc20e60, 0x707282fe, 0x8d207727,
+    0x5d05b71a, 0x3ca0cbb1, 0x342658af, 0x5484be9f, 0x939a8415, 0x9b3bb9c8, 0x792f67d8, 0x0a16996e,
+    0x84f6909b, 0xa6047095, 0xcfa303b6, 0xa804f408, 0x6762f149, 0x6edbdab4, 0x902c761a, 0x75f6b047,
+    0x87404471, 0x4416d063, 0xfa01bcbb, 0xfcf4a012, 0xd5c1ec7c, 0x7280feaf, 0x29f54a56, 0x7b027450,
+    0xbd02cfd6, 0xec6ee4c3, 0x48512e1f, 0x0393dc5b, 0xa19d1b93, 0x235716d1, 0x286bd824, 0x9fc6285a,
+    0xfebb6a98, 0xa4d5547c, 0x957c25f5, 0x9cef69e7, 0xc5a9983a, 0x2d2673f4, 0x01171a94, 0x49f34762,
+    0x931fd56d, 0xdfcb3351, 0x562049eb, 0xbc4fbea5, 0x189aed6d, 0xc7ce091e, 0xa3a4cb75, 0x7db126d7,
+    0xa2b13392, 0x9ee57a9a, 0x5b497953, 0x1105ea42, 0x1c9bb9bd, 0x45010a59, 0x107ec313, 0x848f037f,
+    0x220ba072, 0x85752a20, 0x9dc02d44, 0xc055fa06, 0x209372d2, 0x9fabf752, 0xe6d054d3, 0xea5557b7,
+    0x9902a394, 0x923a14cc, 0x07ad6223, 0xd88949bf, 0xf6844833, 0xfe8bd9b5, 0xbf8a2744, 0x6a55d598,
+    0x98c7ee90, 0x09e4e3eb, 0x21addf6c, 0xbad099fb, 0xb1257d43, 0x24a6ebe9, 0x38e1c427, 0x8fbfb0bd,
+    0xf5002e2b, 0xb2f183ef, 0x4a308e9e, 0x93bb06ca, 0x6a7f3e43, 0x7acef399, 0x4f5cb9d4, 0x130d0fd4,
+    0xff71560e, 0xbfb0ce23, 0xe2e8ed91, 0xca4d37bb, 0xbdf8908c, 0x403e7800, 0x54a154d7, 0x15cb355e,
+    0xa94ae4c8, 0xc146395a, 0xb1ab1c47, 0xb4fe4088, 0x94395e3e, 0x34e31c97, 0xb8f00f11, 0x488d0a46,
+    0xd0dd916e, 0xbd62bd91, 0xb3c276fa, 0x707dcea3, 0xc5b0849c, 0x5f0fd3fb, 0xbe1083ea, 0xc0ec3dcc,
+    0xcf7959fb, 0x5b88dd06, 0x43eb2c2f, 0x194c6370, 0xb84a8b67, 0x6251f7f7, 0xdd602b7f, 0x7c3fcac5,
+    0x0aa5c304, 0x5c8d4424, 0xe09a9b9d, 0x52f77d13, 0x468074cb, 0xdb034c2e, 0xdb9f7570, 0x46448bf8,
+    0x0fb48a49, 0x786fe8eb, 0x85f6b002, 0x1a735797, 0xc2913cfc, 0xcb09fb97, 0x8dce7b81, 0xe0c9f1db,
+    0xf0874f71, 0x27e8a341, 0x71088117, 0x3ebdb109, 0x3f92aa73, 0xd73242f5, 0x396a8ec2, 0x343609c9,
+    0xdbf58cc1, 0x14b83674, 0x5e33f577, 0xa745b53d, 0xec00660e, 0xd458beb8, 0xea6fec82, 0x7fd2ca38,
+    0x7b6a98d0, 0x255a0f41, 0x4f0d8e3b, 0x303292b9, 0xe206c1e5, 0x7e27f564, 0xbde967cf, 0x5f7930c8,
+    0x0700ba5b, 0x6144817e, 0x99980768, 0x4fb1a1cc, 0x7f4a0ca2, 0xcc82c05a, 0xc42f2000, 0x1ed59c0d,
+    0x070701ff, 0x8af1f10e, 0x36b6c9b1, 0x7ec924df, 0x109f78d0, 0x0d09596f, 0x6339243e, 0x8edb07b5,
+    0xbcb08304, 0x2d59de67, 0x733bc30f, 0x0ca0562f, 0xf0440a99, 0x67322959, 0xe795a352, 0xf3745fcd,
+    0xfe4fe5f6, 0x7c65ce3d, 0x32a056d6, 0xc83ac850, 0x8c8f442a, 0xb93d669c, 0xf198a806, 0x9908656d,
+    0x827e7701, 0x17320b1d, 0x1603fb92, 0xf0b1509c, 0xea1e8bae, 0xadb15b1b, 0x18930a44, 0xe0f23136,
+    0x9d0a1a35, 0xd1b65854, 0x6a4e3ea6, 0x49537ae9, 0x1426d99f, 0xe0031b54, 0x09c984e4, 0x9bc6c120,
+    0x14a42465, 0x1aa057bd, 0x607b962e, 0x440a989e, 0xe5ab54df, 0xeb26c8bb, 0x85c7a8bc, 0x8eb75289,
+    0x866b3fec, 0x3fa6a35b, 0x2d4b07d9, 0x79075c0e, 0x979246be, 0x0d80a683, 0x97428c24, 0x020d93b1,
+    0x7675b1ed, 0x4c3eb276, 0xcf363f0e, 0x2c2dad19, 0x1b52e9ea, 0xf61e7e0d, 0x79676ecd, 0x724cb2d3,
+    0xdf9bd214, 0xf3b3d3b7, 0x26197e16, 0x662041d2, 0x5bb10586, 0x74dcd46c, 0x2f59a637, 0xed347039,
+    0xb15396a8, 0x3d2a1b46, 0xe54bd686, 0x8ee69234, 0x3375d8bd, 0x337c32fc, 0x962f7e62, 0x4a5bb270,
+    0xf8244580, 0x7d41b020, 0xad3a63d7, 0xf0a6f4db, 0xbdcaaa2e, 0xee9329e8, 0x6d7e988d, 0x63d0db00,
+    0xafed74e9, 0xb1ee30f6, 0x3cd8e2f5, 0x113f26ca, 0x48ef1c45, 0xd4c00d3d, 0xb9b43a39, 0xb0aede69,
+    0xa8c821e0, 0x0eb9ff9d, 0x56e76d95, 0xe22175c2, 0x1e31f05b, 0x34dc806e, 0xe2802937, 0x43fc0480,
+    0x3c5de298, 0x3099aa86, 0xc4c4470e, 0xda268d34, 0x59faf780, 0x84372d35, 0x56daae91, 0xa1d17ae7,
+    0x4a89fafc, 0xb326f1e4, 0x607ac415, 0xe0e3f35b, 0xa342692a, 0x36d90b8a, 0x5ca00afe, 0xbef11f46,
+    0x98cdf70f, 0x566efa96, 0x4fa9ff6d, 0xd0edc6ca, 0xebaef5aa, 0x044787d7, 0x730cd448, 0x8ba76dc9,
+    0xb66fa89c, 0x547a992c, 0x0bf115cb, 0x126c47cd, 0xb4795bdd, 0xc7fd2a49, 0xda685887, 0xe4b85e3d,
+    0xe97b5805, 0x71b8fd82, 0xc3eae8b0, 0x80293266, 0x996dd414, 0x79ea61b8, 0x6c044ac7, 0xf6e0333d,
+    0xab7d16c1, 0x2e699830, 0xb3429d2b, 0x8f8f1e91, 0x424764ae, 0x321bdb26, 0x58eb07e9, 0x45936c7c,
+    0x93abf43f, 0xb8676803, 0x5f0c8e8a, 0x907fa33b, 0xb35d08bf, 0xdc4404c1, 0xf7c08b3d, 0x6e1ba683,
+    0x1858401f, 0x58dd2ba2, 0x393cc597, 0x0145a659, 0x12dff0fc, 0x8126a391, 0x1cece72a, 0x404e8952,
+    0xf1c492b3, 0x4a2e22cb, 0x2894b09e, 0xc044dfbc, 0x45b279a3, 0x024200e8, 0xa18efa41, 0x2187d57f,
+    0x76d7f9e6, 0x695cbccf, 0xcc648dc5, 0xa7a48b12, 0xf7fa8489, 0x8e167371, 0xfded093c, 0xbfa9f993,
+    0x3cd425d2, 0x3f9e9f25, 0x08a719aa, 0x29268720, 0xca93dac2, 0x8c1b86b7, 0x6b2ef5a9, 0xa8842623,
+    0xcaedcc10, 0x13b7bcf3, 0xafdd09f2, 0x765df3cb, 0x956fd233, 0x30d93791, 0x3761d212, 0x14d70811,
+    0x789a3145, 0x43ec03d7, 0xf29ca99a, 0x9ff0c5fd, 0x86231b31, 0x9d12cc42, 0xc8f42c43, 0x040eb91c,
+    0x53a12525, 0x2104fa66, 0x5c59f693, 0xc74d57f3, 0xb6c8e2e4, 0x1b657e53, 0x1b5cc59e, 0x0fbdd5ab,
+    0x5530d1e2, 0x65b5deac, 0x05991714, 0x079dea32, 0xc14ed853, 0xb3174a37, 0x8007b759, 0x548b9c3f,
+    0x9de981bf, 0x44259f51, 0x554f5bdd, 0x232fc804, 0x35fd2263, 0x947372e6, 0x78fbb40a, 0x11b8bb70,
+    0xafc225f6, 0xe63527c2, 0xde56f5e7, 0x0642b3be, 0x2aaa2abb, 0x8c6647e7, 0x4a59dd64, 0x83a0beef,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000333747974362642200\
+                         37422214158899251790667258161822699530422525122222183215322508594108782608384 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57,
+    0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2c, 0xe833287e, 0xf4eea8f8,
+    0x00000000,
+    0xe1fc446d, 0x073a6b73, 0x1c706892, 0x4918bac0, 0x4f2b0d4f, 0x9a2384ef, 0xad501ce9, 0x775a6f9f,
+    0xad563c47, 0x33165466, 0x6891bf5b, 0xc932b88b, 0xc7dca7ff, 0xc586ea73, 0x3fe3c420, 0x5cb66b32,
+    0x10f7e00f, 0xcf1e0d9a, 0xd6a66b4e, 0x2ea264a3, 0x476493fd, 0xd92b38a8, 0x13cd770b, 0xbca18c66,
+    0x2d6b3696, 0xebceb223, 0x2467dce1, 0x424c10cd, 0xd9d7b7c3, 0xba81787b, 0x14dcb5dc, 0xeb9b4bb8,
+    0x8f81d223, 0xf89be7a5, 0x1345d7a2, 0x09477613, 0x7eab0734, 0xd08494cd, 0xa986a9a0, 0xf0c37dde,
+    0x843f4168, 0xfd60a10b, 0xee979b8f, 0x41fece00, 0x9381abce, 0xf2cad287, 0x664cd81e, 0x9cfff4d4,
+    0x93234ed8, 0x4636d7c7, 0xa75d296e, 0xfba6242e, 0x5cbcdf00, 0x1fbd048b, 0x6783a1a7, 0xcb29163d,
+    0x23e11777, 0x1032181c, 0x72244757, 0x8acb4dd9, 0x691f22bf, 0xba9b78e2, 0x51b16aa5, 0xe3f782a7,
+    0x8819feb3, 0x22aa57e8, 0x0124568b, 0xd8721bf8, 0xb8fe60ad, 0x8282befc, 0xc8bda5b6, 0x0a6535c8,
+    0x68038e46, 0x85807a2c, 0x8e98c63e, 0x61ea72a2, 0x468fbcff, 0x2954bb09, 0xa2b94728, 0x0f92a77f,
+    0x09988140, 0xf1c96f86, 0x86ccee95, 0x903a7d5e, 0x386c8c98, 0xe3153842, 0x05f0a979, 0x65133ad5,
+    0xe02fc877, 0x7c823895, 0x8e73248b, 0xa7aefcc6, 0x2df6a666, 0xf18aac29, 0x7f4c5ec5, 0x37fbd7f2,
+    0x4631777c, 0x792d9e74, 0xedab9d91, 0x968386d2, 0x57b73129, 0x97a40164, 0x6c413144, 0xfcdecf01,
+    0x2ffdcf71, 0xc90a7e94, 0xf71288b8, 0x25beb6c2, 0x552e7415, 0xcbd0ab70, 0x7d1f5748, 0x8b530e9e,
+    0xb7d054e7, 0xc9dd086f, 0x1d7eb26c, 0xcac65da3, 0x22c3744d, 0x67f59bde, 0x505193e3, 0xd608fbdd,
+    0x99b34a7e, 0x8b2db739, 0xf08a3af2, 0x62cdd960, 0x84259106, 0x8d8656ea, 0xeb85baa8, 0xf0ae14d6,
+    0xf9738085, 0x1e21fb96, 0x1fed0459, 0xd93a2cca, 0x9adfe1cf, 0x2b6b3ab4, 0xa8a7ee67, 0xf7336bcd,
+    0xbae37c71, 0x82e16b7a, 0x36617fe8, 0x3769b68d, 0xff55bd7f, 0x84bb43d1, 0x558a9cb6, 0xb1fc552d,
+    0xf075f334, 0x40fa6ad3, 0x7dba0530, 0x8110dfa4, 0x320a66fb, 0x516896c0, 0x08c46a32, 0xbe070fe5,
+    0xee36f9a8, 0xdd880c10, 0x7120c020, 0x0f449dc8, 0xdbe06a9d, 0x8fae48e0, 0x43901d36, 0x4589f38d,
+    0x4bbb5b7f, 0xe72c03ee, 0x1cb50e96, 0x3958adbc, 0x8b7c300a, 0x96131ed1, 0xe2b7ca16, 0xefbe4498,
+    0x9ab62d2c, 0x5ad5655b, 0x53cde24b, 0xb95c9b1d, 0x64ac59f0, 0x9f3961b0, 0x6e69ab44, 0x5f304f5e,
+    0xf1793e6f, 0xef726d4f, 0x46b944c3, 0xb7c1f890, 0x11919054, 0xfc9bc4ca, 0x984de7f2, 0xa042ccd3,
+    0xd4dc5c6d, 0x407faf62, 0x5207ff18, 0x2953fb3f, 0xd4c17f91, 0x76c065a8, 0xe06af31e, 0x59ac5dbe,
+    0xf0d75123, 0xabb21835, 0xa3ef8ecd, 0xe90691ba, 0x159e6fbd, 0xe4593522, 0x7256fb5b, 0xb1eaa134,
+    0x2b272be0, 0xdc92a2c2, 0x7a9d3f2d, 0x68b75ac5, 0x7b926972, 0xdd63d0ae, 0x40cf4fac, 0x4cfb3a77,
+    0x087c656c, 0xea1d18e4, 0xdbcc199c, 0xce6da92f, 0x0b7771fc, 0x2745fa18, 0xe014030a, 0x1399af9b,
+    0x3901fb75, 0x552b0383, 0xb3d095ed, 0xe630cfa1, 0x694cd369, 0x2d9d5614, 0x5eb3e3b0, 0xee37c565,
+    0xc9d4f94c, 0x5644769e, 0x860a1960, 0xf30492ec, 0xcc3d09b6, 0x40c84000, 0x3ffbc14d, 0x09787603,
+    0x3398ef2d, 0xf0cc82ad, 0xd25fb185, 0x2ec25c05, 0xfd296b7e, 0x5aa82132, 0x2411919d, 0x0812c6d0,
+    0xe7247980, 0x3c105717, 0xb2028f77, 0x9d325d37, 0xebfa9dc4, 0x24dcb604, 0x27d1a080, 0x76c5883e,
+    0x86988f96, 0xeb4157ab, 0x6dab7ff9, 0xd363be57, 0x913d851b, 0xf633e1d4, 0x3ed47e99, 0xf0cf59a1,
+    0x5ac22395, 0xa6728a81, 0xd147143e, 0xd4f9c783, 0xa60f4efa, 0x2ca63234, 0xbaeb275a, 0xfa684cf9,
+    0xc54ef665, 0x884d0851, 0x19f45222, 0xa2f085f1, 0x3c8d2f80, 0xdbe3ccd7, 0x8b883521, 0xf4df4d0e,
+    0xb74963f7, 0x99d71ed3, 0xd26a4561, 0x012eb436, 0x6d431e7a, 0x360520b5, 0x6058d902, 0x09b6a732,
+    0xda0a2071, 0x14860524, 0x7800c914, 0x2e39ca52, 0x4ebb9cfa, 0x8721ebe5, 0xe992baaa, 0xcaaf6dbb,
+    0xa4b1f606, 0xf9b923f5, 0xd6876d98, 0x255c4fc3, 0xa9a3bda7, 0x4c0347b0, 0x455e3037, 0x1484b274,
+    0xc75ad382, 0xaa7b9b3e, 0x4bf71e25, 0x88ad986d, 0x24c3ba55, 0x92e1de17, 0xfd6c7340, 0x83dabf54,
+    0xa70bd21a, 0xd4d7da27, 0x8ab3ee48, 0xb0a2d509, 0xd127748f, 0x329315e1, 0x4826aa0d, 0x3eb3f8fa,
+    0xac1a0a24, 0xd542008b, 0x8fe10705, 0x20491206, 0xbf0391c8, 0xf8ca6880, 0xdc8c4b11, 0x0d7efbcc,
+    0x34ba73f7, 0x4d4d5570, 0x2ed54168, 0x9222f9b3, 0x9a851613, 0xb6614208, 0xfe273054, 0x189d2bed,
+    0xc4505b66, 0x293a5471, 0x2bce6e97, 0x3ed45648, 0x0f7455e6, 0x04663420, 0xa84c7956, 0xa7d1bfef,
+    0xeafe5a69, 0x409bda4b, 0x73e2f555, 0xd9678f65, 0xc2491113, 0x5009baf5, 0x9c99dc68, 0x0e63b720,
+    0x07417ab6, 0x2a1faff7, 0xbfa6b5a7, 0x89a6eb67, 0x0f1941b6, 0x337c7e14, 0xfb5966db, 0xb4b2659b,
+    0x5fdf17e6, 0x48df14e7, 0xc37449fb, 0x2633eecc, 0x4e12e2db, 0xffad78a3, 0x2f6fccca, 0xea3dcbdc,
+    0xe7bf79dd, 0x4e0c3619, 0xe28f6f1a, 0xa661242f, 0xe2b14e1b, 0x96cb3a1a, 0x64be87c8, 0x2a54400a,
+    0xf3aaa0e3, 0x5a7e3e57, 0xfd7592a4, 0xe936eff4, 0x76d681fb, 0x723070b1, 0x08486451, 0x0ab9f3ac,
+    0x725254a8, 0xa928af41, 0x551bd9e2, 0x6bbcaf8f, 0x6b5e23df, 0x61856853, 0x219ef36c, 0x1361518f,
+    0x428ecf5f, 0x7de2e401, 0xdf650385, 0xda191d88, 0x7cb4bb01, 0xfdbbad79, 0xc109c262, 0x273c283f,
+    0x833782d1, 0xb3d64c0c, 0xa14c9b6a, 0x9d2542fe, 0x580cad57, 0x79e400bb, 0x7da3edb6, 0xa8d83fc5,
+    0xc06094e0, 0x68f31fc4, 0x00f14c3e, 0xfd72bc23, 0x04c9246b, 0xec186516, 0xa85f80ab, 0x4c88be9c,
+    0xa489d5a9, 0xc515ac62, 0x138f7bd7, 0x72cf46dc, 0x1c2b2177, 0x3368b7ae, 0xbc141592, 0xf00ce81e,
+    0xc21ef946, 0x17c066cb, 0xb983d6a3, 0x998bae6f, 0x0ae439a2, 0x2c7c8ed6, 0x0969cb41, 0x4cda2b66,
+    0xac9509a2, 0xd9cce51b, 0xfb7acf6f, 0xd65ea3f6, 0xd0309c4a, 0x9a311bdf, 0x6a8c1ab6, 0x7e6d235d,
+    0xd1d764e9, 0x040b7fc4, 0xc2e36646, 0xdda3dbc8, 0x2b14e7fa, 0x586adcc5, 0xe17ed47d, 0xf9227d43,
+    0x3623c1ea, 0x4f208875, 0x6a704530, 0x2de9d5b6, 0x34513e94, 0xdc17a874, 0x4f989574, 0xb5125936,
+    0x41f323ac, 0x31b7bd0e, 0xeaa2f4a8, 0x31306c41, 0xfd71a286, 0xce57cfa6, 0x684de239, 0xa290c192,
+    0x584361c7, 0x8a9bb5ac, 0xc249aa2c, 0xe4bf0aa5, 0xd1e06488, 0xc412b0eb, 0xbeb9c49f, 0x5c01ef32,
+    0x521c582d, 0x505a336e, 0x1abc4b0a, 0x3022c565, 0x0db86a07, 0xbeadbce7, 0xabab2a73, 0x86f68256,
+    0x81c68473, 0xe7b2d314, 0xc420a442, 0x181241fb, 0x17c04ca5, 0x91082065, 0xa6dd19b9, 0x1d59eb17,
+    0x3d14b313, 0x7f3d4a81, 0x6f8c537a, 0x2be5686e, 0x2a856723, 0xac357d9f, 0x0412f41f, 0xd1648f26,
+    0x80b182b5, 0xa509599a, 0x523ab31a, 0x9b7cdb42, 0x2b3bc0e2, 0xaaf96e46, 0x129e9561, 0xc2b5a6eb,
+    0x71e99150, 0x533805f5, 0x7b57105f, 0x8524ca8a, 0xbd70bbfa, 0x3effa31e, 0xe42f66a0, 0x977fc24b,
+    0xbb63c047, 0xc6eeadbf, 0xf84b7219, 0x847a2512, 0xe186c33c, 0x7f9a9399, 0x6433a405, 0x10564c8e,
+    0xe41b4a38, 0x1b42c2ad, 0xc6ecd8af, 0x8de8e441, 0xae55ea45, 0x20daee4a, 0x617c3ee0, 0xe67fc06e,
+    0x883a8b51, 0xf6474c9a, 0xb6828094, 0xed7e4c1c, 0x206e45a7, 0x4873f20d, 0xcb1eb1a5, 0xeef994f8,
+    0xa49de267, 0xa9f17b56, 0xcfc40631, 0x83e90cc7, 0xcb995f27, 0xc6abad19, 0x817cbab7, 0x6cc5ebda,
+    0xbf8eb6aa, 0x2a8744ba, 0x1fac36b9, 0x74909cca, 0x3766779a, 0x09f0a504, 0xa0c4bb9c, 0x6660854c,
+    0xe1c28949, 0xf8f01d5f, 0xfe481f6a, 0x854964eb, 0x5131a515, 0x8995e08a, 0x1860aeba, 0xb4b11719,
+    0x7c826c2b, 0x0984bc05, 0xdbab4528, 0xe1ac8641, 0x8ef2a456, 0x2e19133a, 0x82414175, 0xb3849381,
+    0x8af4b3b2, 0xa016df49, 0x573bd938, 0x4312392f, 0xa914eccb, 0x4b6de2f2, 0x5ac4b493, 0x1d12f62c,
+    0x7d3020b4, 0x9de03a4f, 0xf73baec3, 0x526a0b64, 0x95a6e204, 0x30e4129e, 0x38a1babd, 0x0da10d5a,
+    0xdbb411a2, 0x55565250, 0x8c8a7c0b, 0xe0cf2409, 0x3a6ba18e, 0x2fd9651a, 0x24f8de4d, 0xd8dba742,
+    0x5ceb3bd4, 0xf1d86461, 0x08ab7fa4, 0x78f6086e, 0x9a5543bf, 0x9a740828, 0xc2529031, 0x2a766824,
+    0x82cfc750, 0xdd96544c, 0xebf66902, 0xcba5e15f, 0xefe35d5b, 0x797993b0, 0x3f01f60c, 0xd8f03f33,
+    0x9dd0d4d3, 0x6bb9095a, 0x77827416, 0x2eb929b7, 0x0124dee0, 0x83de1221, 0x5650e925, 0xd9f965f5,
+    0xaae30d72, 0x04eea31b, 0xe3acc693, 0x43eeb884, 0x1d7501f3, 0xbd00e448, 0x7ece7009, 0xe77bd09d,
+    0x78437a7a, 0x64567b75, 0x77468f82, 0xdfb08771, 0xbba21453, 0xdc5cb30a, 0x9cb7008d, 0x0326af59,
+    0xe85fd3f2, 0x63db7bf6, 0xee49f9ed, 0x2a874c78, 0xbb6adb8b, 0xd68c1892, 0x4cced9dd, 0x02940e27,
+    0x42aa5e7c, 0xc9c38047, 0xa24f94fc, 0x086ae5c9, 0x27c16854, 0xbf3aaa4a, 0xa27ab66b, 0x41835d7f,
+    0x25bc8cd8, 0x4e1784d1, 0xa2e19038, 0xf344908f, 0x8a0b0d9a, 0xd5071946, 0x31a613bb, 0x6af8d2d8,
+    0x29dc0c70, 0x7fab516a, 0xbd4c24c0, 0x34c25779, 0x9a4712bb, 0xdedc756c, 0xe279ef2e, 0xb54003b2,
+    0x0e3a0b2d, 0x8a949633, 0xb5bf1466, 0xa9e4afde, 0xd233f111, 0x6a17f37d, 0xfe777902, 0xf5f077db,
+    0xab64e20a, 0x2b512e42, 0x65f76762, 0x1f6badda, 0x40dd32e3, 0xb7f2065a, 0x947d1b04, 0x194772d7,
+    0xab95a983, 0x73366adc, 0x0ae98553, 0x18ebc293, 0xe3307306, 0x30dd60b7, 0x4af52fc3, 0x050ba596,
+    0x31938a42, 0xe1c54a64, 0xefe04f51, 0x3e2d76e5, 0x461c1be7, 0xbf54611a, 0x8337ded2, 0x3d7ec2ef,
+    0x65bbf82a, 0xe31d0523, 0x9883c089, 0x6463d2f0, 0xbe7ea9b9, 0x00ecc091, 0x073e3244, 0xda8207cd,
+    0x4c6c63a6, 0x772e6672, 0xf9302bce, 0x4d5753a0, 0x3a293729, 0x28d4f0c4, 0xf1fea452, 0x3efc5fde,
+    0xb6fa1f48, 0xfb38a15e, 0x57ca3b40, 0xc5ca5918, 0x6b4794a7, 0x15fab851, 0xf2b9faf1, 0x4bb4d985,
+    0xd147cce4, 0x47a73f1f, 0xf58f4536, 0xb7ca9c65, 0x55cf85c9, 0xf666082a, 0xfeafd5b4, 0x05e6d583,
+    0x9b142789, 0xa758655b, 0x4e2d382e, 0xa1db9597, 0x4c2e786d, 0xbddcf695, 0xceb1ed54, 0xf7ada2e5,
+    0x4215546d, 0x307d4099, 0x07d633f6, 0xc51bde7a, 0x8844e929, 0x28e3268f, 0x5cf272f0, 0x044f2b5a,
+    0x134ea8f4, 0xac078ae4, 0x785b00ab, 0x1da27770, 0x3391b76c, 0x6e615591, 0xda4e9d3c, 0xf93cad0f,
+    0x60844a78, 0xcdddd09d, 0x2e1adc26, 0x93e581d2, 0xadf74649, 0x78bab863, 0x0e21b1a1, 0x322d5a02,
+    0x65e25236, 0x72877ea5, 0x589d06b5, 0xfa56e66a, 0xc2279dc8, 0xd6bcdb1a, 0x92e4e8b8, 0xbe5c8c6b,
+    0xe1edf331, 0xd056d129, 0x16129645, 0x04a0d5b3, 0xc0c659fb, 0x0899f67a, 0x27c81c31, 0x705e613c,
+    0x057f8034, 0xe03cfa31, 0x69f12273, 0x5eacd66f, 0x58bcfe7a, 0x4f96cf0a, 0xc7e8cd3b, 0x39cfc57f,
+    0x8ba0ce8e, 0x58ea9b62, 0x99b2377b, 0x202735e7, 0x7e812450, 0x1102015a, 0x4dac87a1, 0xfc064afc,
+    0x4b4c6341, 0x291c1143, 0xa31c5003, 0x039cdf74, 0x909cb221, 0xf1595bb5, 0x619a8bc7, 0x145075c1,
+    0xf72f00dc, 0xe73d85c9, 0xa4233c86, 0x2c5fcb7d, 0xc4f78c7f, 0x772b2c54, 0x120bdf6c, 0x20faaa4b,
+    0x5df625da, 0xbb385a18, 0xfcbca68f, 0x90c8eadd, 0x527e3ace, 0x308096e3, 0x6f1422e2, 0xc282f5dd,
+    0x65d3290c, 0x7de7d148, 0xa0922ad7, 0x41363685, 0x0b81e0bf, 0x6e59685e, 0x2cbb2f8f, 0xbf3aaa00,
+    0xa9b54966, 0xa5c87dd6, 0xb437c11d, 0x41c76bff, 0x8f332352, 0x9edb9191, 0xab9260cd, 0x1d9ceaa8,
+    0xff4e5783, 0xc9108ff6, 0x2f3754b3, 0xefeddc34, 0xa46bddc9, 0xa864fa49, 0x97ab8cce, 0x378bbec9,
+    0x532ab8df, 0xfcc8ac21, 0x98a007ce, 0xb9dfdb3f, 0x0f60dda1, 0xd092f9df, 0xad91313e, 0xac785185,
+    0xf3f99042, 0xcd996f68, 0x92938a09, 0x421ead7c, 0xb9199e98, 0xd8383592, 0xbf0573c0, 0x80001a07,
+    0xf92a0b69, 0xcbf515d2, 0x061071b2, 0x1bdcb087, 0x015514f7, 0x74abb9d1, 0x77708993, 0xb3826447,
+    0x19dd966d, 0x52a309a5, 0x3a4f790c, 0x71c3bb7d, 0x6f26ceff, 0x4e91ef1b, 0xe640bf14, 0xe7e30b7d,
+    0x601e052d, 0x45c0516f, 0xb10a3b39, 0xfd046332, 0x493c1d53, 0x647af48c, 0x8551b462, 0xebf2a5af,
+    0xbf9378ac, 0xf1c0df53, 0x1663f633, 0x5d481932, 0xc1db5dad, 0xa20cb902, 0x61e324ea, 0x938bc7a8,
+    0x26271e11, 0x6f80f96e, 0xa943f20b, 0xc9226afd, 0xf9d9491e, 0xecd5f80b, 0xc408c3f8, 0x555bc027,
+    0x4f0af61a, 0x91706481, 0x655f9f46, 0x465be195, 0x9e44f467, 0x545d380b, 0xbd72f74d, 0x461ef103,
+    0xe32845dd, 0xfd51ac38, 0x966c4e35, 0x15971003, 0x63cba557, 0x053b6c79, 0x17207ab7, 0x498698ae,
+    0xaa3102c8, 0xbcbb7415, 0x907ac897, 0x94a97744, 0xd24f8321, 0xf49cff52, 0x3c5116a8, 0x17e8a545,
+    0x15805e7e, 0xf06b0625, 0x24c8d68f, 0x3e1d4d64, 0x5a9ac0d6, 0x53d79705, 0xa197d87d, 0x423b8466,
+    0xc7cc5002, 0xd17e719c, 0xb3ab04c8, 0xa8f7c622, 0xe59e903a, 0x90f2305d, 0x2ae188b6, 0xc72c12da,
+    0x98cab107, 0x9e65491a, 0xf6be6102, 0xe3bba60c, 0x43910207, 0x8c0101ba, 0x55d52c1c, 0x58274a9d,
+    0xb82bc313, 0xfab9170f, 0xa7f5a80a, 0x2abe104e, 0x7fbaa6ae, 0x98798075, 0x2d51657a, 0xa1e1fcc7,
+    0x8a8131ff, 0x6c18f89f, 0x3ad3457a, 0x0beba856, 0xfeb6aa9a, 0xa7d13574, 0xd69a2827, 0x3212e1bd,
+    0x804429a3, 0xe3540d52, 0xc6238548, 0x828e9e66, 0x28dca56a, 0x69a20222, 0x1a2d2a84, 0x57b0ca2f,
+    0xade46c40, 0x0a309040, 0x8a6a0462, 0x9f6d6fdc, 0xcb9077d8, 0x59499da5, 0xd85f77fd, 0xdd7e9c72,
+    0x2b595901, 0x5e059112, 0xa8dd2042, 0x6744962f, 0x4c05d15e, 0x6454fb8a, 0x25542c8e, 0xda910676,
+    0x86d54fa0, 0x1ec90d72, 0x0917c944, 0x8b7095d3, 0x55b9be48, 0x5e65f848, 0x157ce917, 0xc2053711,
+    0xef1d7517, 0xcc168aa3, 0x79b5521c, 0x15b0011e, 0xd3b1dbf3, 0x55025087, 0x2840216f, 0x0cf5cb24,
+    0x62d23533, 0xeb17ce0b, 0x90c42b4f, 0xec936715, 0xc75d4862, 0x92caeb39, 0x44b53f3a, 0x959a537c,
+    0xd8829806, 0x80346c6e, 0x24090267, 0xe6405e0b, 0x360bf06e, 0xa89303a6, 0x264d9de3, 0x202ab996,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000166873987181321100\
+                         18711107079449625895333629080911349765211262561111091607661254297054391304192 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b,
+    0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e16, 0x7419943f, 0x7a77547b,
+    0x00000000,
+    0xf0866543, 0xa8b71d32, 0x4ca4746d, 0xbae63b89, 0xfb7441f6, 0x025ffe9c, 0x2e5a98db, 0xf2c32458,
+    0x90ab0578, 0x8dbd7fe1, 0x7fe93e6d, 0x939270bf, 0x5729920b, 0x20317476, 0x315aff4e, 0xd12f6a73,
+    0x289482f6, 0xebaadf40, 0xaae553fc, 0x3c549a9c, 0xa986c589, 0x98a3686e, 0x5b811e14, 0x36606dba,
+    0xaf51f875, 0xade4eb1c, 0xf3b6a722, 0x8c60e336, 0x0c823c09, 0x4876d86b, 0xa936a3f8, 0xcfef799b,
+    0xdda5e9b1, 0x49e5e6f3, 0xafed0080, 0x89579014, 0x271ea884, 0x5ed23e46, 0xaaa65103, 0x40f1b56c,
+    0x8b3c3f72, 0x4fb5b9b6, 0xf9159522, 0x0a8f2760, 0x7e5dad1d, 0x1c58540e, 0xcd628880, 0xdb8c1346,
+    0xad6b07e6, 0x861755a1, 0x13461acb, 0x612f586b, 0x301c3300, 0x369b6fac, 0x6e94cdbf, 0x124d3c32,
+    0x3ae8e0de, 0x9fa99e90, 0x0dbd4487, 0x724e8ec9, 0xe39ff15b, 0xfea2795d, 0xdf65bb6a, 0xe5d1be32,
+    0x3ae5a454, 0x3767742f, 0x0da07611, 0x4dab0672, 0xceddf1e9, 0x338c01b2, 0x95145662, 0x626f0db0,
+    0x30a756ab, 0xa8f93577, 0x65a82356, 0x66a9adbd, 0xb7ab121e, 0x5a786b0f, 0xc2406658, 0x5e474e25,
+    0x292dfbde, 0xb50a6fb8, 0x130589f2, 0x0070fd4b, 0x82c0a7a0, 0xabd5f282, 0xb3352948, 0x2cea96b7,
+    0xc0954a14, 0x473a5c09, 0x3c8c4dd6, 0x107c0975, 0x9e451b18, 0x47f41681, 0x89082a64, 0x85041a45,
+    0x13d698bb, 0x4e0997e0, 0x4c6ac8d5, 0x2443ac8a, 0x03a854c3, 0xdcaa7956, 0x28de6132, 0xeeccf547,
+    0xfa6d190e, 0x5c486514, 0x50aaaeb7, 0x37f9c90e, 0xe3be378a, 0xddab071c, 0x699c5894, 0x9253cbcf,
+    0x28a195a2, 0x50301bd7, 0x418750bb, 0xe2d88d8a, 0x365910e9, 0xe3c0fdc3, 0x6fc76fc2, 0xf4612711,
+    0x7b06b6f6, 0x5a9d77e5, 0x4afefd37, 0xfeccd86c, 0xc8c209aa, 0x58198545, 0xe050c975, 0x3187dd2b,
+    0x6966fcef, 0x9db2e9ab, 0x86bd16c9, 0xc6b154b3, 0x771a187f, 0x3eb0d4ae, 0x4e04c2c6, 0xf52b8bba,
+    0xb355efc1, 0x13980431, 0x7d33412d, 0xa87e7a5d, 0xe31ef61e, 0x15e6e65e, 0xbd43c733, 0x5b36ed1b,
+    0x8ded3e79, 0x042cb33f, 0xd637c3ba, 0xa2c9ac15, 0x37883325, 0x27287c65, 0xb890fc88, 0xa7595efc,
+    0xd76d2370, 0xa450afaa, 0x7b6ff3c1, 0xdb2cdcd5, 0xb1f853f1, 0xa9eea9b7, 0x8e31a40d, 0x5b95b763,
+    0xef6a8498, 0x80ea16a0, 0x334b2940, 0x9f955856, 0xae1d2c8d, 0xbade7e42, 0x44f45b4b, 0x497c100c,
+    0x9d165450, 0x32d8b100, 0xe58fcef0, 0xf7c636ea, 0x06219d49, 0xbe214526, 0x84fd9444, 0xf1fd9b56,
+    0x6a35f627, 0x473656b1, 0x294e6415, 0xf255a9fb, 0xd78f25c6, 0x8dc1f07a, 0xd49807f4, 0x498c0dd3,
+    0x7e522106, 0xbd684c26, 0xcf0dbd77, 0x038cd241, 0xfd6d20c2, 0xb3340fcf, 0x1d46173a, 0xf68dc8d1,
+    0xb0599473, 0x670719f1, 0x9480e840, 0xecc19cab, 0x232f6a3c, 0xc511e208, 0x35244492, 0x61afe4b8,
+    0xaf9554bf, 0x1975dcff, 0x93800a64, 0x93ef7c24, 0x01606a6d, 0xb5208d33, 0x00caa4b3, 0x865f707b,
+    0x3093d6f1, 0xbd85ba60, 0xac59c3c1, 0x463c08c4, 0xd3f0d810, 0x2f708ad6, 0xb90f2641, 0xb8e1bf65,
+    0xdd5a29ba, 0xe71aec91, 0x9e86134c, 0x21500d3a, 0xf61f1e7e, 0xe3086602, 0xe8981025, 0xa008e83a,
+    0xfeb13c1d, 0xa26a2339, 0xc788fedc, 0x969a03d4, 0xad8cb89d, 0x648f18ce, 0x75139ec0, 0x8b7da5c7,
+    0x0bb2ba74, 0x1dcd16fe, 0x2913bb27, 0x16040edf, 0xfb7794b4, 0x76751b3d, 0xe7c52fb2, 0xfa642e89,
+    0x0247e655, 0xac5c6364, 0x0f1f82fb, 0xac444a3f, 0xefdca2d4, 0xf4c70152, 0x47200e26, 0x06f22de4,
+    0x41ce61de, 0xe90beebf, 0x3963e98c, 0x19cfbdd9, 0xecdb114e, 0xad5d30eb, 0x6ebc9f74, 0x066c437f,
+    0x69bc3d62, 0xfd07f086, 0x4e8a2d97, 0x67db07ac, 0x51a21e72, 0x9fd88bb3, 0xb3c9f87f, 0x18da2b9c,
+    0xbf6775c6, 0x61006ad0, 0x92ab10fd, 0x3aa1eb4b, 0xa6642b5f, 0x6660b7c8, 0xbcae2e42, 0x07437fa2,
+    0x88f3aff2, 0x19d7633d, 0x764b0a06, 0x9e99c805, 0xedba3367, 0xe3f2d01d, 0x3abad95f, 0x61cdd4d6,
+    0xfb50a45c, 0x334dd1a1, 0x4dc14a30, 0xdf93cc7a, 0x1ecca766, 0xb3cd69f0, 0x959b4992, 0x657dabfc,
+    0x0430f738, 0x98368cf4, 0x51ce58be, 0x9465cc3c, 0x6bb53014, 0xf935346f, 0x37c14579, 0xab22a7db,
+    0x49a0430b, 0x8885ec00, 0x12fb2913, 0x4e3436e8, 0x9d700a8d, 0x1043ab56, 0x4524921b, 0x3b05fcdc,
+    0x8fb9b59c, 0xc4fbb97b, 0xdd8de1f0, 0x58991ced, 0x39b3d486, 0xedc776a8, 0x542a7b47, 0xd843059c,
+    0xd89c6c15, 0x9d782c41, 0x34e1063c, 0x78ab7614, 0xf9c6d19d, 0x991b7520, 0x2a756633, 0x3b8b9bd3,
+    0xa36cfa42, 0xb42fb1c7, 0x0af01a30, 0x5bf41b9b, 0xcf12cf1c, 0x94003f33, 0xfeee7e08, 0xb172e556,
+    0xef518a44, 0x8ff38f2c, 0x370ea8f1, 0xff6a6e0c, 0x3d4cca71, 0x0e19f58d, 0xb1c8af9b, 0x868a698a,
+    0x3da25efb, 0x14365640, 0xc34f0f81, 0x4460d472, 0xaaa9c8ab, 0xf574075d, 0x9aca6e69, 0xee259888,
+    0x24d9cfc0, 0x9496d069, 0xa5adef27, 0x717bb81b, 0x78d6ce6b, 0x0a0a41b8, 0xe9699e33, 0xd50a7ef0,
+    0xcf4b0203, 0x37c3ed85, 0xe2d32f51, 0x9694a4ce, 0xc5986385, 0x0f35d82a, 0x5479f231, 0x1d6e59b0,
+    0xca1a47a8, 0xa9931830, 0xe03175f8, 0x3ccd19c6, 0x967c2dda, 0xe23fa221, 0xa15700b4, 0x9a5fe849,
+    0x0bc7566c, 0xa863464b, 0xfd34f53d, 0xa3505822, 0x26d2ed7f, 0x3ae19332, 0xca3872b3, 0xd30fb290,
+    0xabd774cd, 0x3d63cd89, 0x8d199547, 0xc92db409, 0xcb4afe38, 0x09ffe382, 0x8d6028c3, 0x33a3810c,
+    0x55748ce9, 0x834f26ed, 0x6cd22050, 0xf00ce992, 0x5a54d877, 0x29bc2a53, 0xd0a95c86, 0xe7241d14,
+    0x00909071, 0x9ba8e081, 0xffc9c902, 0xa4959e72, 0x9d8df5c2, 0x78be6571, 0x4967eda9, 0x0db7408d,
+    0x51f0db5c, 0xd289eeda, 0x6427091a, 0x1da6e127, 0x60bdfbc9, 0x434b6bd6, 0x60efc5a8, 0x0e5098b5,
+    0xdd696691, 0x5bb59a37, 0xa60ad0e7, 0x72526d1f, 0x66f78be3, 0x9eaf6953, 0x3ba8a4bc, 0xab16e9c7,
+    0x718baab2, 0xc08d7dd7, 0xf9743be3, 0x0e3db15a, 0xc088aac5, 0x82484f14, 0x8045b8c4, 0xa639e3e2,
+    0x196b707a, 0x928b9359, 0x3d6f44a0, 0x0754a76d, 0xec173662, 0x84faf83d, 0x7fa3d2db, 0xb26aa209,
+    0xf4235b7d, 0x4fccad0a, 0x2e341fbd, 0xd7ddf4df, 0xdd1677d2, 0x9b1119ad, 0x0794c173, 0x89bc5606,
+    0xfaf75e04, 0xc342d6ca, 0xa5a2d5d7, 0xeac9d611, 0x60f50807, 0xa8e82bd4, 0xc9ab01e9, 0xb75b9ea8,
+    0x060daa17, 0x08da0826, 0x6c768d42, 0x391c5d15, 0x687bfd68, 0xf6d924b8, 0x12361ae1, 0x62795795,
+    0xa7882bee, 0x363c4a47, 0x26812b9f, 0x57cb549a, 0xa2f44397, 0x373607e8, 0x44e7740f, 0x00b76442,
+    0xc61ca0fb, 0x1cdff311, 0x6b9db4c2, 0xeb4e8f05, 0x285cbe9d, 0x2d8debfb, 0x34f1e4a2, 0x9d297791,
+    0xd5d61e15, 0x5b28da32, 0xe3c37581, 0x1e6c1d1c, 0x54097cdc, 0x2887f7d5, 0xd32f2204, 0x6ae80c20,
+    0x728f8f5f, 0xd2d8ea25, 0xabc671ee, 0x0d38af19, 0x4e86a073, 0x1c6d4c32, 0xa9cbb8ec, 0x8c94252f,
+    0x2a4505aa, 0x515acea9, 0x22a7d4a8, 0x1a3985cf, 0x670279bd, 0xdaeaa2d7, 0x971f8eb8, 0xd396bca4,
+    0x648db23b, 0xf868877d, 0xeb81884f, 0x8cf88e58, 0x3ba61aa0, 0x961c5eb6, 0x6311f5d7, 0x1c59611a,
+    0x6f73680b, 0xa220c91c, 0xffffdbab, 0xb33796b9, 0xe3745d5b, 0xd2f52b06, 0xe815baab, 0xf12d6fd0,
+    0x43548434, 0x4d23532a, 0x18a70621, 0xb7a9c723, 0x0278aadd, 0xb38bb73d, 0x3d9830bb, 0x4fb6e1c4,
+    0xfc7dae15, 0xf7d277aa, 0xd7e16694, 0xf696df2c, 0x2a890c43, 0xa89234e9, 0x798cd642, 0x2af22b32,
+    0xc87375a8, 0xb8a2794b, 0xe24406c4, 0x945b928d, 0xfe3bf09a, 0x07ebd423, 0x4edb1ff4, 0x95285d87,
+    0xad7d3b97, 0xd6cb55fc, 0xd4518262, 0x28fe3161, 0xbe2db7ef, 0x2aef3672, 0x466a95e0, 0xa022f9fa,
+    0x9871edc4, 0x398baf72, 0x6d1c5ac8, 0x8af20e55, 0x7bb3292d, 0xdb2730b3, 0x3197f0a4, 0xac634a35,
+    0xaa00c2cf, 0x8a04b9c0, 0x6e0468cf, 0xc98188f0, 0xa52c0625, 0xa5794f64, 0x7c701e91, 0x2f33e7d7,
+    0x97884929, 0x4363b664, 0xef07ea41, 0x2f76f55c, 0xb9dc5d7f, 0x9476f6f9, 0xa512ca69, 0xc0235d47,
+    0xed4ae367, 0x93f64d0c, 0x8c1ab5bd, 0xb997e3b0, 0xaed93093, 0xe16fc990, 0xfe5ab2e8, 0x6634876a,
+    0x52a72d70, 0x622f7c66, 0xe44ee9d1, 0x78211115, 0xb2e9da9a, 0x3b2d1452, 0xcd64a4b5, 0xd4b01440,
+    0x57732a6d, 0x98ef5112, 0x207211ae, 0xbe0f4c1a, 0x3e2640c4, 0xfeceb068, 0xb4b96dc2, 0x7339fc7c,
+    0xc0fd3750, 0x07690ac5, 0x859a5aba, 0xb1e37d26, 0xb1070d61, 0x7d28a999, 0x4ed497b2, 0x22bae4b8,
+    0x818eb053, 0xb07f1eb8, 0xa8c05311, 0xc0e0565d, 0x918e327c, 0x0bd7978e, 0x84376171, 0x39742dad,
+    0xcbdac929, 0x25260e8a, 0x8e98bf9b, 0x7ba63bf4, 0xc325bd7d, 0x590019ff, 0x68ac5cae, 0xcfb92f4d,
+    0x44d4f094, 0xbb20a39b, 0x9539a684, 0xaeaf669b, 0x6602ca97, 0x368b5f1a, 0x01d621a6, 0xa1adc81e,
+    0x9c5ac2cd, 0xcc37a7c3, 0x5b734ea6, 0x4f80b558, 0x74bf8970, 0xca96d92d, 0x35748cab, 0x5587804d,
+    0xd683fad7, 0xbb36ce60, 0x33e990dc, 0xf610507b, 0xa8a2c197, 0xff18d1f3, 0xd17b63cb, 0xe9ac5bad,
+    0xf49f347e, 0x684c3098, 0x10202662, 0x3b842e48, 0xd2c628a0, 0x33883949, 0x4d540d05, 0xd3a10baf,
+    0xc08701cb, 0xed8866a3, 0xb24ff077, 0x973aca31, 0xabc84c78, 0x2a60842d, 0x04816c71, 0xa6eaa9de,
+    0x0444a5da, 0xc65d3420, 0x3c0b983f, 0x1d0cf2eb, 0x067d3353, 0x6d1fe85b, 0xef22d270, 0xc6766d4e,
+    0x51527da5, 0xa031bb43, 0x5272a2ce, 0x8af33c79, 0xcc1ce607, 0x280ed83b, 0xae80eca3, 0x08018ecf,
+    0x0269b22b, 0xa183bee5, 0x8f429068, 0x8b06bee6, 0x3c5084c6, 0xcced1955, 0xb2a672c3, 0xaf42a4d6,
+    0x59db053c, 0x50a49058, 0xd1fabf88, 0xaa2a5e90, 0x0053474c, 0xebeaa4a9, 0x52f215cd, 0x53d945f1,
+    0xc76b1fa1, 0xd2b32041, 0x29aaaa2e, 0x3569e103, 0xbc4e2d81, 0xb32a7196, 0xaf532b10, 0xa0d91816,
+    0x4e789a08, 0x17b0459d, 0xf0e11b71, 0x91f28002, 0xde9dbac2, 0x0b5a0f48, 0xf316f5cc, 0xa05641c6,
+    0x76b428db, 0xf01fa12c, 0x481a7668, 0xa0eb8209, 0xe4280fb2, 0x9cbd4ef5, 0x2f0d65fb, 0x3b8f44a0,
+    0xd3f94f63, 0x19dfd5c9, 0x60192e09, 0x0adf0930, 0x1dadc5d2, 0x9bb45ab8, 0x1e974ac5, 0x7a77116a,
+    0x0081d4c3, 0xf4594232, 0xfd00e05b, 0xafd9065e, 0x175ded64, 0x2a3c8d92, 0xa6d6165f, 0x039fd913,
+    0x3ac18f8a, 0x905ce99f, 0xf3973eac, 0xce0a122f, 0x7ad5e40f, 0x245f3c9d, 0x3dab7f88, 0x5c5e4381,
+    0x8c90bddf, 0x86711a4e, 0x5bdd5747, 0x5e1005b2, 0xceecf5f1, 0xb936e814, 0xc056a477, 0xd0adda9f,
+    0xffd9a3af, 0xd4ea5678, 0xef8c4504, 0xe89a35a3, 0xb803e820, 0x3e106ae5, 0x669919ef, 0xada125a9,
+    0x86530c57, 0x95c0c60c, 0xa7533e63, 0xadcbd3f4, 0x053ffd1f, 0x1f4928f0, 0xf50f9c3d, 0x070b5ac8,
+    0xe3a7511e, 0x0b60d861, 0x7fc0b1f9, 0x2b97cd2a, 0xe0466ed5, 0xa6c94b1f, 0x2cc217cb, 0x79503e90,
+    0x2bb0e0cf, 0x5adaa0a9, 0x52b6911d, 0xb5f2a138, 0x5ef61e8e, 0xccc167dc, 0x2bf5553a, 0x075cf3e2,
+    0xc4543393, 0x895baefe, 0xa38de706, 0xf7ef5ee3, 0xe1b31531, 0xedc9f051, 0x90dbaa58, 0x70be908a,
+    0x1f14fa0e, 0x54cfa09d, 0xcea0a949, 0x0d296f1c, 0x5adaf8c4, 0x052fb1c6, 0xaf607a22, 0x2e351797,
+    0x44abe0ef, 0xdd66f9ca, 0x16d5e96d, 0x9114f154, 0xc7dbfac5, 0x054b356b, 0x235684a4, 0xf3d33dac,
+    0x66aad53c, 0x16f2064f, 0xeba56a1c, 0x72211daf, 0x104995ae, 0x75b72ad9, 0x775914d0, 0xa43bdaf1,
+    0x05c90847, 0xc8097271, 0xd9712946, 0x37b3166e, 0x33b3d40d, 0x67cd35ad, 0x761bba6d, 0x7be74eb2,
+    0x6b615bf4, 0xb1d74e92, 0x89b65ecc, 0x0f5a200e, 0x2ce675f3, 0x9c72afbc, 0xd86fdf25, 0x7a41395c,
+    0x39eda78b, 0x892b02e5, 0x323af56b, 0x7af7b8d0, 0x4ec52c37, 0xbb0968b9, 0x9190dd58, 0xa6ee5b8c,
+    0x9786e887, 0xd84f03d6, 0xb05d5ac5, 0xd8a609f4, 0x912d2224, 0xc31fd85d, 0xaee6a3d2, 0x4e16a946,
+    0x79728326, 0xbd9ff275, 0x7e7ac999, 0xb8b3b7ed, 0x339da21e, 0x6dd5c6c0, 0xf6a1b5ef, 0x7e543f6f,
+    0xc97d6760, 0xbd1d0795, 0x0b302b01, 0xd541347f, 0xda1cb563, 0x3bdf2592, 0x00e4066c, 0x1c1402de,
+    0x588a70a9, 0x5decb078, 0x137e083c, 0xf62df6db, 0x4d38565b, 0xeab094da, 0x1fad6e5f, 0x37a624f0,
+    0xd983bf0c, 0x3c6af19d, 0x4797d96c, 0x0d4d13ab, 0xe3b76836, 0xb0efa8ac, 0x722711a1, 0x416da767,
+    0xc1c60782, 0x3a0ea24b, 0x5bad611c, 0x625902c0, 0x8956beaa, 0xa39e5984, 0xcb565eee, 0xa70312cf,
+    0x5514c0d1, 0x616bf03c, 0x12a8dc6e, 0xc5444f2b, 0x7d4100bc, 0x932506c3, 0x2934cd20, 0x1260ed91,
+    0x66ca2fbb, 0x8d2e5eba, 0xacdc6205, 0x9b137237, 0xf41501aa, 0x4a3c7446, 0x8aa1a85b, 0x043b846b,
+    0x2b372d73, 0xc462f601, 0xac19ba36, 0xe21d4f6e, 0x5b4bc292, 0x03f55151, 0x112eee74, 0x5d501dca,
+    0x62d5ec79, 0xef6084a1, 0xfdcd0c89, 0x38eabb63, 0x04cffa02, 0x8208517e, 0x57035bab, 0xc31e6e24,
+    0xeeaf1286, 0xf530f6ee, 0xe156aa96, 0x582ad381, 0x78f4bf1b, 0x9caaeaa7, 0x55cbf6b0, 0x3b8bcef5,
+    0x02521153, 0x985d9999, 0xf5ee2ed1, 0xeb520ae7, 0x5d6189de, 0x19babb5e, 0x5193890d, 0x9c6b9812,
+    0x2977ff22, 0x9d1dd14f, 0x34810fe8, 0x1966626f, 0x3457da7a, 0xaddee06b, 0xf8e1cc5e, 0x3a6b3934,
+    0x67627bca, 0x1881b67a, 0x6a4bc202, 0x01b115c3, 0xe4365101, 0x033f6fe2, 0x10a0257f, 0xd3756524,
+    0x92e00f29, 0xa2153289, 0xcb8a2f2e, 0xd29a2dd8, 0xa13000d4, 0x430ad7eb, 0xd25af59f, 0x8132f167,
+    0x355c893f, 0xd50534d1, 0xd26532a5, 0xdad13c50, 0x9a5acb5d, 0x077e05fd, 0x3ac1f237, 0xb38a3116,
+    0xa27b1c5a, 0xe8db06a0, 0xa89ccfb1, 0xec363403, 0xdb532f2d, 0x6eb096d8, 0x8e8f7030, 0xcb66792f,
+    0xf7b5a7e4, 0xe9a2e571, 0x3634e611, 0x38241020, 0xbb928b24, 0x27cf352f, 0xa8b15d7f, 0xefa6b383,
+    0xaf2ef7ae, 0x45bb7b06, 0x2c7ca0d6, 0x7218e564, 0xa0fbc14b, 0xc123d33f, 0x13abf2be, 0x7b0883d7,
+    0x5d51f868, 0xf09574e0, 0x48d260b6, 0x52ed5923, 0x005d7387, 0x92ffa0e3, 0xa2045e98, 0xe0e06b99,
+    0x10d3d360, 0xa8a54242, 0xa11783f2, 0xabb39cee, 0x9f80bff3, 0x6d90c67c, 0xb399cf37, 0x21a8e155,
+    0xf283b36e, 0xe2034aa2, 0xd71e3a89, 0x8311fd30, 0x2655a7d0, 0xd83ae1e7, 0xd323b59f, 0x7555d3b9,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000083436993590660550\
+                         09355553539724812947666814540455674882605631280555545803830627148527195652096 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715,
+    0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0b, 0x3a0cca1f, 0xbd3baa3d,
+    0x00000000,
+    0xaf767abb, 0x942e8a40, 0x0438af9d, 0x18c84a9d, 0x57d614d4, 0x393e5549, 0x2a3f1329, 0xbb97ff37,
+    0x73cc89b9, 0x84e33a79, 0x03c4a68e, 0x8362a924, 0xbe12eee1, 0xb6718501, 0x9c374b46, 0x92021384,
+    0x24ce7b04, 0x75bf3ce3, 0xbf832a84, 0x1b167422, 0x94e048f1, 0x422ae21c, 0x2cfb72c8, 0x77957221,
+    0x59a72f96, 0x147bb755, 0x51897584, 0xc49484be, 0x8c2ee804, 0xcc0bc127, 0xf2aeea84, 0xfee31853,
+    0x44c922ea, 0x994a3064, 0xa0b978cd, 0x276f634f, 0xb06096c7, 0x9cb81249, 0xa1a28305, 0x17edf378,
+    0x1a9420b2, 0x2bd84f37, 0x0d23aaff, 0x0784e3ae, 0xa3742997, 0x44efe8ab, 0x1dff975b, 0x1367eecc,
+    0x3e5d83b2, 0x15d32bb8, 0x254ee429, 0x38dc1b8e, 0x62aae4cf, 0x28b5cd39, 0xae7edbaa, 0x3a68f1db,
+    0x2071c932, 0xe478f6dd, 0xf9feb3de, 0xc1c75cd3, 0x4ad3ece1, 0x37e7a519, 0xb655eccb, 0x60412ae3,
+    0xc5c63d80, 0xc16caf62, 0x62b6f0c7, 0x3331f12d, 0xd5ea653b, 0x8690cf54, 0xc5e44c36, 0x3abd4272,
+    0x9218f74b, 0xfedff89c, 0x7d863a94, 0xafffb24f, 0x57e570a5, 0x1db9131e, 0x4c60508c, 0x41fa63ad,
+    0xcda3974b, 0x7dee21b4, 0x8bdd9e47, 0x9942ae13, 0x6243ed88, 0xf702f541, 0x2115418c, 0xfd92c2f8,
+    0x5ee489a8, 0x6faf313e, 0xc1553ba6, 0xa455ea34, 0x7b511c23, 0xed1a39a4, 0xea34844a, 0xd3d00e27,
+    0x5a460cbd, 0x2affa4cc, 0x5fffd304, 0xb390d4d5, 0x5c44f1a4, 0xdeb7f640, 0x5396f850, 0xff5511e9,
+    0x4a7543a1, 0x06855a85, 0x177850a1, 0xb4c4b6b7, 0x158ac5bc, 0x472a2f94, 0xe2365efd, 0x1907a9d3,
+    0x5ec9ae6f, 0x05a941c7, 0xadfbd625, 0x4ac7947e, 0x49e1dfa0, 0xd5922029, 0x92c4729a, 0x471e29b5,
+    0x50edc50b, 0xac06d2f8, 0x74a44182, 0xf0d6ed9d, 0x09cc8844, 0x41ef68d7, 0xd6114c8d, 0x17d0ebb4,
+    0xd1eea5cb, 0x73f4e902, 0xe99d3e11, 0xcc9105e4, 0xc2891ce0, 0x5f6b6904, 0xaad55ae8, 0x5c91303b,
+    0x73f6cf4b, 0x409967a7, 0x052d22ad, 0xa557f728, 0xd686433c, 0x41e6e8d4, 0xafe38ae3, 0x6dc55dfd,
+    0xb8f51b81, 0xa1b725bd, 0x80093e22, 0xa4d65db7, 0xadb9aea1, 0x0d8fcdc5, 0x80d26479, 0x508813de,
+    0x675dc6dd, 0x7764aefc, 0x7b18811a, 0x57ea561d, 0x4bff4a17, 0x91e529f6, 0xfb00d301, 0x26672b55,
+    0x2c0d74b5, 0x1eec2398, 0xeb543a1b, 0x50fa1dc9, 0x2ca8752f, 0x6d70908f, 0xec1de46f, 0x19905241,
+    0x8dd86f03, 0x9593dfa6, 0xf13c3312, 0x1816740b, 0x2407a5eb, 0x932a3f78, 0xf1134a9a, 0x0d518c24,
+    0x1c2ab36b, 0x6dc0f5a4, 0x1f1d2ade, 0x2531100f, 0x5057392e, 0xb58cde49, 0x4f9a6dc3, 0xd48c6279,
+    0x0169ab13, 0x45b9c05a, 0x93e58f87, 0xf19f4231, 0x32eef664, 0x3edbbe85, 0xc7262189, 0xa95a1baf,
+    0x6dbaa1f2, 0x91649d7e, 0x2af81750, 0xd33a6b3a, 0xc7d6b832, 0x8525aad8, 0x5f2ee3cc, 0xf90bf09b,
+    0x2eec9c85, 0x86c0fac0, 0x81b112f1, 0xad6d5183, 0x4fe1ee0c, 0xff313b2e, 0xae0589ec, 0x2170ca3d,
+    0x478f13a0, 0x82808eda, 0x8032aa57, 0xd0e1c6ec, 0x52324462, 0x76538147, 0x38573d01, 0x61f05d45,
+    0x1625ffd4, 0xf1adb8b5, 0x1cc04a95, 0x767a58ed, 0xad573553, 0x99cb5063, 0x34fc3ed2, 0x218a74c7,
+    0x9b8bc944, 0x25cc9232, 0xc6734606, 0x26934cab, 0xa65b7ac9, 0x00a6783a, 0x1be33377, 0x4a63e4a5,
+    0xe12064a3, 0xd30d2e7c, 0x52d966b5, 0xb51db720, 0xeee8df1b, 0x4fd34c17, 0xde683d51, 0x5da4926b,
+    0x8606938f, 0x766143d0, 0xf2638f58, 0xe446ebb1, 0x94799553, 0x201796ba, 0x41e298f5, 0x2e82c99c,
+    0xa06f8d81, 0xde2aa776, 0x343b7df5, 0x626e5a99, 0xc19f6539, 0x3aa7574a, 0x7ffc76a5, 0x5eb5882d,
+    0x2f95000d, 0x187c4588, 0xb1c3c1e2, 0xa721dea8, 0x22f1d530, 0x0c32068e, 0x8e5cc539, 0x058f9098,
+    0xbbbb0bca, 0x003b2390, 0xa2c79ddf, 0xf662bede, 0x6a27ad7f, 0x18938dee, 0xa4a450a1, 0x4d7af298,
+    0xa75fdaaf, 0xd779db61, 0x4c6ca793, 0x973c98e3, 0x1a2f4d11, 0xaed3eb21, 0x53dde31c, 0x253d189a,
+    0x7a31e001, 0x6c9a6840, 0x6c80114e, 0x54047bf3, 0xba95be42, 0x6b0d5bde, 0xdad4ae97, 0xaccb7a2e,
+    0x265f50e8, 0xebac6e02, 0x54f8c917, 0x547f57dd, 0xbe0130f7, 0x82bd7512, 0xd6aea66d, 0x9b2889b6,
+    0x3e2a355a, 0x58575bfe, 0x85f9f0ed, 0xdb682b06, 0x079f138a, 0xea7330ef, 0x93a006d5, 0x7211ddcc,
+    0xa234eb92, 0x9b3d0026, 0xfb8a5be7, 0x9fb0c15f, 0x63c12495, 0xacf05c62, 0x5a27389b, 0x32112272,
+    0xc3d6eb44, 0xf5bfdb14, 0x4377a9e2, 0xb190eb86, 0xcac10ff0, 0xc51cd509, 0xb2ee0adc, 0xfcedfe5f,
+    0x9b9d1a3e, 0x72e018e1, 0xd70c56c4, 0x07851d07, 0x86e3eef1, 0x940c0bf5, 0x45fe9198, 0x09539038,
+    0xafed0897, 0xaa86a73d, 0x22d20884, 0x042a69af, 0xda723c6f, 0x062ddee4, 0x612bcf1e, 0xf817ac77,
+    0x6cd0a1ca, 0x32b696c4, 0x9a4749ab, 0xfe7a3597, 0x02540ffd, 0xab686e2a, 0x7c0f5971, 0xeec715fb,
+    0x2d2d9ee6, 0x7cb1b7c6, 0x6c34efc2, 0x3e040985, 0x728ace2c, 0x74e03030, 0x879e8515, 0xb5f85fa0,
+    0x567edaa2, 0x8f24cf40, 0xb7529b5a, 0xcd327ca5, 0xfe08fc22, 0x06499964, 0x0177115d, 0x273a3134,
+    0x59aa7d5a, 0xea05e1e3, 0x384fc468, 0x714cd745, 0x613f6aa9, 0xdf155ecd, 0xa165118b, 0x6e3cd06f,
+    0xae6eb5a6, 0xa1711839, 0x7d36d6e9, 0x0f87e076, 0xdacb8cb1, 0x4fda4c53, 0x05e4d6f4, 0xe40ea8ce,
+    0x028b92fe, 0x8343ed67, 0x7f464bb0, 0x14f68044, 0xcfdf8ec0, 0xe30c3542, 0xd571a9c1, 0x8c79eafb,
+    0x5542fd96, 0x0b903dac, 0x29586d60, 0x34f4bfe2, 0x1eba0c4e, 0xc0e1b4d0, 0x908c5da3, 0x2e9e1b1b,
+    0x8b57fb30, 0x9ec0e02e, 0x068d3902, 0xbad3448f, 0x0b8bff94, 0xa5b4b90a, 0x8789a795, 0xbf94ce7a,
+    0xe5414c07, 0x793883dc, 0x65680877, 0x53b655c1, 0x6537943c, 0xdf290e0e, 0xb1f3d4e4, 0x9cea8e56,
+    0x1119e0e8, 0xf3825119, 0xa62e1666, 0xc4843c0d, 0xe4ca5e39, 0x504e2791, 0x0c8d69cd, 0x20c1bf2b,
+    0xcfeadb77, 0xeac1d6e6, 0x11e784cb, 0x4edf91f3, 0x16be37cc, 0xb14d20a2, 0x48b81c74, 0xe0801206,
+    0x8a315877, 0xb8e0cd2b, 0xdffad7bf, 0x43723ea3, 0x0a00c6d2, 0xff53140b, 0x790b234f, 0xaf9a50a8,
+    0x89611fa3, 0x80dea0fc, 0x2bc31839, 0x06e27c69, 0xa5cd7965, 0x2c7e163d, 0x723866b2, 0x4e0040fa,
+    0x7c167e98, 0x8c0b77b1, 0xd18a2b19, 0x0845e8f6, 0x1ff70454, 0x9ff7a845, 0x9a281f8b, 0x18e42da2,
+    0xab26d399, 0xd44fc206, 0x3f42e1fa, 0xb1c0567d, 0xdbd343cc, 0x853308f1, 0x9af4f8bf, 0x97fc1a4e,
+    0xd02b0bdf, 0xba2f26b7, 0xe4def9fd, 0x55d686c8, 0x7a35edae, 0xaa36cd91, 0x69373208, 0xa5a5d0c0,
+    0x1368c5a9, 0x54b9468f, 0x80fe59e4, 0x2de91212, 0x6843b8b6, 0x01e9d72b, 0xe90e48e6, 0x65ef3295,
+    0xe2741153, 0x287e095b, 0xd1be2c0e, 0xd6141d23, 0x44ac0309, 0x72530452, 0x51cb2938, 0x5e5afc87,
+    0xc2f571ef, 0xd8fc8aae, 0x37ba25e9, 0xd65cecd6, 0xf3712760, 0x1292c278, 0x6aa95904, 0xf2f1f105,
+    0x9a4aec43, 0xc5c0eb02, 0xa389c801, 0x84587a10, 0x5e742445, 0xf820c49a, 0x77317eca, 0xf471cfdf,
+    0x5520e01f, 0x5d900f5a, 0x35aa87c3, 0x1af29323, 0x3ccd0495, 0x93ad9903, 0xb45989ec, 0x50302430,
+    0x6f5ce585, 0xf9f5b1ba, 0x3d020087, 0xe9e168a5, 0x9360ab2c, 0x0f372e99, 0xae785d5c, 0x73486491,
+    0x14fa229e, 0x703009a7, 0xd2781026, 0xccffd07f, 0x875549ce, 0xf791ddf6, 0xd1ee6258, 0x391c5c21,
+    0xc8369997, 0xe6da5d3a, 0xf996b02f, 0xa2026a94, 0x98504e66, 0xfe28a3a2, 0x9673599d, 0x3bdc74a7,
+    0xfebfeddb, 0x38729141, 0x3fceb2cf, 0xc23feb71, 0x1b36e8ad, 0x1fb8384e, 0xe2babd27, 0x0c272d42,
+    0x57a8427f, 0xc8fc0de7, 0x064c730b, 0x17e0ff24, 0x3390466b, 0xc6255db6, 0x22f99c47, 0xc070f056,
+    0x07771592, 0xc11b256d, 0x4c0d19d7, 0x0e5a9996, 0xf9e45e91, 0x3e431c86, 0x26f2d9ba, 0xd43ace43,
+    0xf34bbccf, 0x403a32f6, 0x576a3ea3, 0xee957aac, 0x1de3cdb4, 0x96346c4a, 0xf7883d21, 0xe303f02c,
+    0x6caf01fa, 0x9a687997, 0x416fe1d6, 0xefaec917, 0x8774a481, 0x557f4e54, 0x71ef36c4, 0x40903948,
+    0x5568fc2a, 0x6c8caa0e, 0x048d0034, 0xa2419241, 0x6d7c7f84, 0x24cbb456, 0x47818128, 0x7b3eb83f,
+    0xf5799844, 0x0ff78885, 0x8c3b85fa, 0x1550386e, 0xf751e468, 0xbdfcbf28, 0x7d50974d, 0xb468466b,
+    0x0ba08902, 0x639b95d8, 0x70d7b57e, 0x0208cf42, 0xaf8fef8d, 0xae742f22, 0xd88f1121, 0x9b2d9de8,
+    0x3291b965, 0x861f0d08, 0xbfeb8751, 0x5c35f5ab, 0x4d13b51e, 0xb13a39ca, 0xdfcfb148, 0xef04ce7d,
+    0x2ba638aa, 0x2fa57290, 0x7f233eb5, 0x072cae7c, 0xe3798a22, 0x8366fc42, 0x7cc2896f, 0x316cd6be,
+    0x530739eb, 0xf6841f15, 0x40de60e4, 0x3b96e118, 0x44d66c4f, 0x37100464, 0xd75ef3b3, 0xc3640332,
+    0xd1a09603, 0x3e031302, 0x5363a235, 0xc7d43de3, 0xa8decafe, 0xb90c3495, 0xb388ee86, 0x97878ce0,
+    0x48f94b99, 0x08e233dd, 0x73fe1766, 0x33ddfe53, 0x4634405d, 0x119ca8c6, 0x3e8b3793, 0xc3809eb9,
+    0x564e1bb2, 0xa40c296f, 0x6215edf9, 0x186f81da, 0xcf59117c, 0x0365e807, 0x93433564, 0x38caf055,
+    0xf972e18e, 0x98fe8fa4, 0x9e354d6d, 0x6bc50b1c, 0x2ad85985, 0x31ad6662, 0x3fb16cc4, 0x3b594c7d,
+    0x9caac1b2, 0xd890cf0e, 0x5e941987, 0x59a33dc6, 0x2277c310, 0xa165f628, 0xba8a7ea6, 0xc4ab547b,
+    0x95023ef2, 0x059de913, 0x240e45ff, 0x3217fc49, 0x5f8ff0e2, 0x173c8969, 0x39854e94, 0x6b520e19,
+    0x6bd13fb2, 0xec12f633, 0xb254bf13, 0x48626a49, 0x0b38d9d4, 0x3ee0c1b6, 0xea1dfe37, 0x87a7e4a0,
+    0xec5ef28c, 0xad25a01f, 0xb5d14d70, 0xea071d92, 0x9ce33907, 0x123ec5dd, 0xdea0d19f, 0xd76c7b10,
+    0x9e621404, 0xcb7a5c48, 0xf6466076, 0x6b9025b8, 0xf07bac6c, 0xc855fdfc, 0x4deea3a5, 0x8e3e4194,
+    0x4efb2f41, 0x9ab6a863, 0x167eeba7, 0x908661b7, 0xf700ea84, 0x32351790, 0x08a4b615, 0x18c5b7a3,
+    0x5b85f149, 0xa2cdcd1b, 0x97a0e9a7, 0x1c821726, 0x5bcb469b, 0x4a6cbf2d, 0x00450c24, 0xd578f1ea,
+    0x199075eb, 0x8045ea89, 0x4145b923, 0x00c9dbc9, 0xb2fc1e3d, 0xcd7212b6, 0xfc6e1d9c, 0x96a4beec,
+    0x3211a483, 0xfffffa4c, 0x5e21bfb1, 0xc2adcef6, 0xd2e41bf8, 0x4ff95f56, 0x1652e82f, 0xfee96861,
+    0xd0da1b83, 0x88d4fcee, 0x0ce9158f, 0xedb38d94, 0x2d51db6c, 0xdd94e4bc, 0x27fe1569, 0x695ceb73,
+    0xa4699bb2, 0xdafe6d5d, 0x853b2467, 0x7a15219b, 0x7d4b6189, 0x8979b1ba, 0x5fa853b0, 0xf756e2cd,
+    0xacde0a9b, 0x280c27d0, 0x4eb3dda9, 0x444edb2e, 0xba246f88, 0xbfee59f6, 0x317774ca, 0xf6b1ff91,
+    0xc13c7271, 0xd7d0a8ad, 0xe58aa28a, 0x96a7fc22, 0x666936ed, 0x763e4e9f, 0x3b9bb631, 0x217410ce,
+    0x07eb6789, 0x2eb56a18, 0x42f8c461, 0x69601fec, 0x97fa0443, 0x3b06dfef, 0x57236bf8, 0x7ee2e5c4,
+    0x02b56e1a, 0x0ab9f42f, 0x63e06db7, 0x648e2238, 0xbf266c50, 0xcd62f5be, 0x5a5f2839, 0x6f079f17,
+    0xfe125aa2, 0xce0599df, 0x4c732e1c, 0xe15a86d8, 0x297aed18, 0xa9e36e95, 0x98f45070, 0x3cf3f2f2,
+    0xdeb4af34, 0xdc78d21a, 0x448e81b3, 0x0f203adc, 0xb7c9058a, 0x8fd05979, 0x77a83c70, 0xeeec8c64,
+    0xbef486ec, 0xa58e8b71, 0xd906cf36, 0x3ac0f9ca, 0x0f3ec8eb, 0x9666d0fd, 0xf0b598f3, 0xa1f6ecdb,
+    0x88358070, 0x77982f41, 0xf2db6cfb, 0x0fea647b, 0x7fe10b50, 0x5b5f130e, 0x71af8e58, 0x4abd975a,
+    0x3d584999, 0x1cd9c773, 0x8d8b2b83, 0x96d234bf, 0x41b96a68, 0x91ada22f, 0x31429542, 0x4de70c56,
+    0x111ef220, 0x60304409, 0x28ee55fb, 0xe95dbfd4, 0x6e442835, 0x4cf16e70, 0x1696e5e2, 0xa1dc104a,
+    0xd2835582, 0x44e31850, 0xdb9216f2, 0xd3beb4f1, 0x23e04c9a, 0x9ccc075f, 0xbc2333d0, 0x1ed722d6,
+    0x33262651, 0x7fec2a4d, 0xd2603ee5, 0x4b5f91f2, 0xae99cb7b, 0xce0e59d4, 0x11dc4997, 0xd812119f,
+    0x81eff337, 0x39abddb0, 0x44d0396a, 0xb6cb016c, 0x0e9a0cde, 0x1e2f816b, 0xa29ef91c, 0x8b383006,
+    0x7d9db5b0, 0x9957684b, 0x3c1aef1e, 0x4d8a8841, 0x2240c766, 0x1e87dcb9, 0x6b154cca, 0x852b97ff,
+    0xfbf2552d, 0x74f4d42e, 0xd0294125, 0xec24a4c7, 0x791de35d, 0xc9ee78f2, 0x24a08bd0, 0xa85e892e,
+    0xcad32f77, 0xfdda32ca, 0xd09fe02b, 0x4b57b1e8, 0xaa2cfb79, 0xe6eaf333, 0x25d5f7ea, 0x624f4d4f,
+    0xd3b89136, 0x5fb3114e, 0x01cebaa1, 0xded16123, 0x16d652fe, 0x48c77210, 0x67ff9439, 0x133f92aa,
+    0x84db3ab0, 0x791d7f5b, 0xfbc65075, 0xc351ffb3, 0x90c1abc5, 0x9ba657d2, 0xb7246a39, 0xf6c44394,
+    0xcd0e7f99, 0xe7a77a93, 0x520b03ec, 0x405344fc, 0xb70b06ea, 0x6033f9a1, 0xb4f66462, 0x7b8bee74,
+    0x9bb711bf, 0xba53c6ca, 0x1edb5762, 0x685f9d4a, 0x037415eb, 0xb053b08c, 0x41cd40da, 0x4c433bee,
+    0x915aed21, 0xb466c93f, 0x9d1e9ee1, 0x7f7f2694, 0x5c31ccc0, 0x479dbed1, 0x71611e85, 0x7d61d2dd,
+    0x200690c9, 0x191c53b1, 0x6133282d, 0x804d4cb6, 0x21d097c8, 0x96ef8173, 0x782cb89e, 0x62d05414,
+    0x6f3a7e96, 0xa785d1a7, 0xcf9fdf5b, 0x941a9466, 0x5349a851, 0xa153a11d, 0xb40158da, 0x0f7847ef,
+    0x1e75c26a, 0x3f90c328, 0x8c5d6825, 0x1aaa788a, 0x77aff8ea, 0xf0b4cea8, 0xf6f680af, 0xe0873084,
+    0x977a6cc3, 0xcc3c8151, 0x7f9be660, 0x11814191, 0x332ac348, 0x40392bee, 0x4098a6a2, 0xb760260f,
+    0xfa334c84, 0x005bb849, 0x0e3023f3, 0xfbd0cfb4, 0x625920a1, 0xc8699959, 0x2e460c74, 0xc0e45143,
+    0xb622c7f4, 0xb29dff47, 0xfb206030, 0xed1846c0, 0x67261c2f, 0x40bcdd30, 0x5159b7e4, 0x99fdc77a,
+    0x0a5d3aeb, 0xc1652cef, 0xc567741b, 0xdddb95cf, 0xd9a08a89, 0xcbc0c66b, 0xbe4c8ce0, 0x57415eee,
+    0x1219bd51, 0xbc09a297, 0xf89f56f0, 0x43c735e5, 0x9a985ff8, 0xd7908615, 0x3f7fc726, 0x80d3011e,
+    0xa5870a08, 0x0eca2ed5, 0x51c1aa22, 0x2fcc7953, 0x7aa03781, 0x2ba15120, 0x1173b314, 0x3c9fb650,
+    0x26b33d89, 0xfac3a60a, 0x2b6cd99e, 0x2b60b15a, 0x59aada09, 0xb0a8c996, 0x5d0447be, 0x7501dcca,
+    0x0026f1cb, 0xa21e380e, 0x7da03e8a, 0x3773f2b3, 0xa728bd2d, 0x80fa248d, 0x8de0249d, 0x29a44f7d,
+    0x5078eee8, 0xa99ff046, 0x401c7d2a, 0x4018e1c0, 0x51f0c40f, 0xa5835f08, 0x86bda809, 0x0b23bacc,
+    0x19fa1e01, 0x410cde00, 0x732750e8, 0x513a2b2a, 0xa0905995, 0xfeed06a0, 0xc98c61aa, 0x82071bf3,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000041718496795330275\
+                         04677776769862406473833407270227837441302815640277772901915313574263597826048 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a,
+    0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e785, 0x9d06650f, 0xde9dd51e,
+    0x00000000,
+    0x95dd33be, 0x3499dea6, 0xcaeb85d5, 0xb5495ba7, 0x8aefc594, 0x9feac3a9, 0x64df6070, 0x0aed65b7,
+    0xaac9e417, 0xbcc976b7, 0x2d0d66c7, 0x5dd4d807, 0xe582841f, 0x91b3dab4, 0x58670d36, 0xac3568aa,
+    0xa8d3f86c, 0xe77e0145, 0xcb26fc95, 0x35db3c1b, 0xfc3acc8a, 0x6ae62fcb, 0xb91c4f14, 0xcd7cde2f,
+    0xa793277e, 0xfa2f0492, 0xb311d0c1, 0x04aa64f6, 0x063ccd82, 0xc8a5314b, 0x9d4219a1, 0x282693f7,
+    0x8cd4cbb5, 0x15fa9dc2, 0x88bc703b, 0x76c2ed11, 0x113d7b77, 0x47754762, 0x8a5e8abc, 0xe5370b2b,
+    0x4e2ea72e, 0xb5592574, 0x33427d09, 0xa153d5f8, 0x10936a4d, 0x79392a04, 0x88e06c7f, 0xc5cadda1,
+    0x68a2d82f, 0x874d47f5, 0x86b2df73, 0x569a0894, 0x26114d12, 0x332dcdbb, 0xc04dc5d2, 0x9389b0cf,
+    0x4250cfe9, 0xc8500c9e, 0x114f77bf, 0x9c28f54d, 0xd9fb5cfc, 0x3b8ef9a6, 0xc05c3c8e, 0x7db6658e,
+    0x40d4ae7e, 0x2b60f54a, 0x76b11983, 0xaf767a98, 0xc5247170, 0x11501dbe, 0xe6b42a7d, 0x7593e7b9,
+    0x466a4a1c, 0x1a6d9d9f, 0x92d3e8a6, 0x89c89d2c, 0xa442990b, 0x57dc4eb5, 0xba088e88, 0x23476d27,
+    0x2edf4d7b, 0x4151d16e, 0xab8b899b, 0xad243312, 0xe9ac1dcf, 0xe65b338e, 0xc483b8b4, 0xab4d3b48,
+    0xef1e7456, 0x10073b00, 0xedf5437b, 0x9c169c45, 0xe6113e13, 0x2734bb90, 0x6991e33e, 0x8e719788,
+    0xa2a6a360, 0xb8edde03, 0x6f2b6ac4, 0xe3baec7f, 0x0c94ab19, 0x3fbb3842, 0xaa8aa968, 0x2bbfa5c3,
+    0xea5252fe, 0xdb9d7bfc, 0xdfe3647a, 0x3fdadbcd, 0xc3e39f07, 0x7e66c383, 0x6d4bc0c2, 0xe96323a6,
+    0x29a68e7c, 0xcb3766bd, 0x23731c7a, 0xb13b7d55, 0x9d1992fa, 0x2dbadc82, 0xbec63746, 0xd79bc4cc,
+    0x12275448, 0x703d08b8, 0x5930433d, 0x3dd6e860, 0xceb09cff, 0xab8ec614, 0xcc0e80a7, 0x94931fc0,
+    0xd63a0871, 0xb31ba7e6, 0xad4d44f9, 0xe1e7889a, 0x18ef1543, 0x4202803a, 0x5ec87f04, 0x7975f87a,
+    0x4b5baf71, 0xff09f051, 0x0da59c91, 0xfc69e4e7, 0x80ab8232, 0x434f8b81, 0x005ba44f, 0x67dbd237,
+    0x6de35684, 0x8f48e0cc, 0x250ea740, 0x96e94e70, 0x5ff2e956, 0x82562a72, 0x7575eba8, 0x13044633,
+    0xabaea363, 0x4f11cec6, 0x36833348, 0xe5ff1bd9, 0xf693a815, 0xc1380af4, 0x4f83727e, 0x9b5cac38,
+    0x01cabd0d, 0x3ef9776a, 0xdcf972c9, 0x056da32a, 0xa95982c1, 0x80d6d9fe, 0xc8ad2093, 0x5175337f,
+    0x0f97e9c4, 0xd992bfbf, 0x2f466f34, 0xdac13665, 0xc0d90005, 0xe0884fa4, 0x34f6c35c, 0x51a21bce,
+    0x6ade7c76, 0xbb1079df, 0x36116491, 0xf16e0d55, 0x84385da4, 0x21651187, 0xd4a2f404, 0x5aace435,
+    0x75f18e1c, 0x0ee1d86c, 0x00e21074, 0xce326a90, 0x5eb02ca2, 0x1969b4c9, 0xd4a622be, 0x6f02f4f8,
+    0x240f96a1, 0x107b4a8f, 0xc55ad868, 0x63d23d50, 0x2c4b6934, 0xefd04af5, 0x75d17e20, 0x58bc83b8,
+    0xe0e4a9f2, 0xdac02e96, 0xf874ef1e, 0x6670bec8, 0xd754fba6, 0x61d71e9b, 0xa105f5d1, 0x2142d1c3,
+    0xe09c36ca, 0x2d72d7b4, 0xec54d1ac, 0x856a8e83, 0x859a92de, 0xca119cf0, 0x29d1bb36, 0x0638a17d,
+    0x55fc9295, 0x296575cb, 0x094c53c3, 0x8c0e4da5, 0x81df849c, 0xb9d63387, 0xef1ee209, 0xbf9ad79d,
+    0x262e280b, 0xcb3669a2, 0xfeb317db, 0x66da9434, 0xc2989014, 0xda75217f, 0x44031fb0, 0x0a018237,
+    0x2a5d5bf6, 0xb92cff86, 0xfaefbc89, 0xcd5fa97c, 0x6b779995, 0xe27cf17c, 0xbd62cdf9, 0xb6df1692,
+    0x658dfe52, 0x3bc46e80, 0xe56ab8d8, 0x4d5c60bb, 0x4fe14fc0, 0x78d597b7, 0x284eef51, 0x2572c131,
+    0xb9b64fa2, 0x8b20255f, 0xc1da8427, 0xfde97c67, 0x7ed3d910, 0x18dedb4c, 0x6b977621, 0xa79bca8a,
+    0x25a27a4a, 0x9c2c38b3, 0xbd409121, 0xdf5e67ff, 0x88001fd2, 0x8387df7a, 0x5c2a248d, 0x086bd41e,
+    0xd0f961e7, 0x5be57518, 0x9e8267f4, 0x332ed493, 0x213c1ee3, 0xe4c0321d, 0x38b45a71, 0xb2d645be,
+    0x1093c15c, 0x31c10523, 0xf4320b83, 0x84d28108, 0x4d219213, 0x95d1ecde, 0xcccad691, 0xcdbdb3dd,
+    0x2967327c, 0x888efe6b, 0xca4b82e0, 0x62f8c99b, 0xed8a867a, 0x70863042, 0xa8de623e, 0xec874189,
+    0x4d0454bc, 0xea3af68d, 0xfea6661d, 0x349466e1, 0x8ad6903f, 0xa69f2844, 0x159cf5c8, 0xcd6b8700,
+    0xc13024ea, 0x99009cb1, 0x0460f013, 0x29ea3066, 0xc8668088, 0x07e19dcf, 0x560b2431, 0x335a4006,
+    0x394b17bc, 0x22130210, 0x6ff717a1, 0xb7d8f5e7, 0xea9db952, 0x55dde3e9, 0xa1cb8fde, 0x59e4a875,
+    0xf577b210, 0x0f8e57bd, 0x406bfca5, 0x7b9d6356, 0xecfe8861, 0x61f99b77, 0x9dba102f, 0x76b7b70e,
+    0x941c7dd8, 0x8cbd4496, 0x1319803d, 0x99df52ab, 0x4e92f4be, 0xad0ef71f, 0x854e9e7c, 0x173ca19b,
+    0x23dcfc8f, 0x61e1325a, 0x55a128f9, 0x9a469573, 0x960ef87b, 0xe66ebd06, 0xa580e294, 0x8f02063b,
+    0xeb94ba5c, 0x4498bd3a, 0x8d0fd352, 0x9f2261a1, 0xdb36e824, 0x9bb5b318, 0x98cc715d, 0x46dc75b6,
+    0xa8f5932f, 0x9bc99b80, 0xc9ea10a8, 0xe83e6226, 0xca53f585, 0x7c575f3f, 0xf21d9e07, 0xdc94f488,
+    0xad35b66f, 0x4ff9251d, 0x59238e49, 0x2e0ee0d1, 0xd4c0d7ed, 0xf75900fc, 0x3121c39d, 0x48e3b418,
+    0xe3d860a3, 0x9f5ee508, 0xfa967e9f, 0x3593844e, 0x7fd1f03b, 0x0329bac4, 0x21220737, 0xdc732a44,
+    0x6cfd741a, 0x466964b8, 0xbf1ee67c, 0x562e25e3, 0x98331c7d, 0x915ef9bb, 0xfc1011dc, 0xb99a5002,
+    0x09ad9031, 0xd5be0402, 0x769965d2, 0x4f51fd3c, 0x2a3da805, 0x393db898, 0x46466800, 0xbf9a50ca,
+    0x280b729a, 0xf3b89aa8, 0x56c0d167, 0xb53a0382, 0x8963ec9f, 0xd5158e55, 0x9cd8dfb8, 0xee597076,
+    0xa45bebe0, 0xe50c7a4e, 0xacb8f6b2, 0x5b8923e7, 0xe74427aa, 0xb60e87bd, 0x9ac640a4, 0x7d24427f,
+    0xb076cd4e, 0x76638778, 0xb94fc746, 0x1f9f8c5b, 0xc413ee30, 0x75a498a0, 0xa058bc0d, 0xde0d0323,
+    0xc46f32b3, 0x51e7c310, 0xf2d634a5, 0x84e3f7b5, 0xd13342be, 0x175f577c, 0x4832347b, 0x2b59f783,
+    0xddbe658f, 0x7b0dc23d, 0x0383e955, 0xa3ef1604, 0x3ba192a9, 0xc9ef3414, 0x7bc0559c, 0xe8e7a2c8,
+    0xd14235d8, 0xd6aef1f5, 0xd687a082, 0xefe1f942, 0x2db50521, 0x489c2856, 0xcd997118, 0xe3216cd9,
+    0x04c2543f, 0x0d955b38, 0xa90348ea, 0x7e7e796e, 0x34f184c1, 0x2d598971, 0x97fd16f3, 0x2c8bcda1,
+    0x73f1b691, 0xfaead79e, 0x2e14cd07, 0x51110f5e, 0x26f2a951, 0x64b82b1e, 0x5acf50ea, 0x3a5c705b,
+    0x88d97e25, 0x57374a65, 0xc7ee55b9, 0x26d7ea57, 0xbccdb508, 0x3baeabfa, 0x13a2d1c8, 0xbabf19bd,
+    0xe4fda4c1, 0xb9c5017d, 0x749443c3, 0x5517ab7c, 0xa3a11783, 0x23cc0792, 0xa3ea029e, 0x4971bdde,
+    0x8944f4b0, 0x6e738dba, 0x7c5ba9eb, 0x3f4d7acf, 0xf641d13e, 0xa12ba17a, 0x5fb2eef8, 0xa2da5246,
+    0xd620a605, 0x533379e9, 0x97bae9c6, 0xe24cae8e, 0xad8d9f04, 0x1e25a001, 0x07b4d383, 0xdae10acd,
+    0x30bf56eb, 0xefb79e44, 0x37c02971, 0x56c90b33, 0x1cd33f0f, 0xa146d72c, 0x4765848f, 0xcbabe160,
+    0xfdf1116f, 0xbb3a669d, 0x4ab77240, 0x881430c6, 0xb2a8e02b, 0x2a2dba61, 0x468acc7b, 0x2e5a03ab,
+    0x185343eb, 0xd9ac8fad, 0xab7b0cc3, 0xa7bfd761, 0x9c7fc90d, 0x33bab5c6, 0x361356c4, 0x4351f388,
+    0xd63569a4, 0xc5c30d58, 0xf8c2842f, 0x8cc026c1, 0x6c2fcd2d, 0xc221caad, 0x451c30d7, 0x9eab7cc8,
+    0x536da20e, 0xb44f7329, 0x56d1b1c2, 0x93703b3f, 0xa9476970, 0x5f934ece, 0x2656fcd3, 0x35f32bfe,
+    0x2c84ac95, 0x89be368b, 0x38661279, 0xc70470d5, 0xbf9a3211, 0xf3b2e6c7, 0x65a4da38, 0x96fddd4e,
+    0xd71461d6, 0x1fdf4d60, 0xa1a466b2, 0x94c5386f, 0x4d6adf2e, 0x0e9eb0b8, 0x9d9fa201, 0x57f2a258,
+    0xa47c20de, 0x66dee079, 0xebb46ee4, 0x57cafd13, 0xc9b6f6a2, 0xa59741c4, 0xd6d7e48a, 0x57eaa1a3,
+    0xeada60f7, 0xd2cd648a, 0x17331dd5, 0xeec1ff97, 0xfba8f13e, 0x39fec3be, 0x62f4c8b4, 0x603e2203,
+    0x7ac94fd8, 0xa1e69e17, 0x43a2ba9f, 0x0023686b, 0x8445b369, 0x485dbcea, 0x040168a9, 0x598eb4a2,
+    0x1d83b2af, 0x8efef827, 0x577debbb, 0x4258a3c0, 0xd7884674, 0xcdc08136, 0xbc1c20ee, 0x72834ddc,
+    0x21996df2, 0x3caa806e, 0xc54b3458, 0x64611a4f, 0xaafba959, 0x39715a07, 0x93531f70, 0xe8679039,
+    0x002c02ba, 0xf6d67106, 0x096a0016, 0xe96b294b, 0x2a1c1e43, 0x57fd268b, 0x2caf4ca9, 0x7b93b53b,
+    0x3ce3c475, 0x03ba1c2b, 0xfb3b0ffb, 0xd5abf733, 0xb84e874d, 0x2806d4a4, 0xd77b3050, 0x9e8a4cb8,
+    0x4397fcd1, 0xc08e8218, 0xb98cec6f, 0x860ff6af, 0x02e810ce, 0x0e4bf68e, 0x0dbd3afa, 0x9bcb944c,
+    0x7561ab75, 0xa3ec71ba, 0xaa52d3e4, 0xc780852a, 0xb826f38f, 0xe69da293, 0x38c07251, 0x999feebc,
+    0x1032ca84, 0xb9a4fd46, 0x388ba990, 0xc0c491d6, 0x48444dc2, 0xc8095880, 0x2be798cc, 0x9c1506d7,
+    0x1e5eaef6, 0x559a83bf, 0x73b42c9d, 0x6860d67a, 0xf1daf062, 0x2aaec84a, 0xf84973b4, 0x309f3926,
+    0x7e5ca7df, 0xb7283ae7, 0xb5ed07c1, 0x3c595b8c, 0x5979ad55, 0x42ffae76, 0x002a59aa, 0x4e527086,
+    0xee1dd6a3, 0x7275a929, 0xbe8559ec, 0xe519d06c, 0xfb90857e, 0x3d57173d, 0x520430e2, 0xf61d6986,
+    0x33bfa081, 0x15f580d8, 0x9e0c28f0, 0x2f804b87, 0x809169a4, 0x00305237, 0xd54e3d0c, 0x32ccff40,
+    0x0b1ee0f5, 0xde2fe695, 0x8090cf98, 0xc79bf1da, 0x7d2b7589, 0xa3933642, 0x61b725d7, 0x35113911,
+    0x406b77bd, 0x1500b31c, 0x9e3c142c, 0x1aea6fe4, 0x94689a51, 0xf224fb6c, 0x63cc550e, 0xa48d0201,
+    0x269721ee, 0x554bb3ca, 0x076ad9e9, 0x8d80cd42, 0x6ea0cb68, 0x5bbfedcf, 0x26ec7d6a, 0x582813a0,
+    0xde67809d, 0xff6b313d, 0x18dfe42f, 0x9bd27c69, 0x1768c355, 0x83630322, 0x9636e77d, 0xe3e91105,
+    0xb5cd24a9, 0x011b11db, 0xc393cb91, 0x3b2cfe28, 0xc5e04cb8, 0x83d5c90e, 0x6d71bd7f, 0x6d85fe41,
+    0x5be7426d, 0x6337973d, 0x23b1c22d, 0x258dbd93, 0x3a41622e, 0xe226e562, 0x0bb5766f, 0x97859e64,
+    0xf98c7b00, 0x4c303adf, 0x72a3b42f, 0x28d61c6a, 0x2851e35b, 0xf4d07868, 0x88335a47, 0xe3ee1e25,
+    0x89001fd4, 0x8a9e9a68, 0x98482b34, 0x592b23ea, 0x1a7d2530, 0x70a4a0d2, 0xcbc0d1f7, 0x5ec2de55,
+    0x47ec6470, 0x723b4ece, 0xda300130, 0x689502a1, 0x3d3e60d7, 0xe6b4ad31, 0xd0f5880b, 0xac8015b6,
+    0x41744f25, 0x3c9cbb70, 0x64bb0b94, 0x129d5385, 0xe04a837c, 0xe5f090c2, 0x2ac42b1c, 0xf3e81c1d,
+    0x7ea6cb87, 0x656ccb16, 0x92790b22, 0x36f3765e, 0xbac6fc77, 0xe3b7a522, 0x9153df9b, 0x935a8fcc,
+    0xce124f27, 0x5506470b, 0xbaed0fdd, 0xd85f73bd, 0xacdbbe7e, 0x241a1f31, 0xa0cb6fb5, 0x3a2b89c8,
+    0x9d4e5314, 0x0ace284c, 0x116d165c, 0x7ee5c95b, 0x0538ce72, 0x13292eaa, 0x89da40dd, 0x32b74748,
+    0xb49ade87, 0x7bab065b, 0x82574d3c, 0xb33d1e5e, 0x24d0e54c, 0xd44a4918, 0x92be786d, 0x49f9cc87,
+    0x9eea0c5e, 0x7a4a2412, 0x86a79e13, 0x1c75326f, 0x5ff93203, 0xff643553, 0xfaa66942, 0x38d7115a,
+    0xaf49a599, 0x264bfec2, 0xf38e7b6b, 0x60a21e19, 0x13f8a1e4, 0x88bc6495, 0xdecf8715, 0x07107066,
+    0x11439d67, 0x0da543c3, 0x21e43ee8, 0xc21d726c, 0xca6205e7, 0x9aa6ff1f, 0xed2ae2ea, 0xb04a1871,
+    0x2c9f54a5, 0xb94bc50a, 0x953a8d6c, 0x1a2afdbb, 0x4b72cb6e, 0xaab10940, 0x9badb980, 0xfb2f7906,
+    0x81c56107, 0xd9226df2, 0xff6a4199, 0xeb9deca4, 0x2af8f11e, 0x8abcc3c3, 0x96ba8214, 0x1ee2fc28,
+    0xcfca199e, 0x66205b5c, 0x5eab7b98, 0x5cf80acd, 0x13c384c1, 0xe6fcdc1d, 0xf6764e4a, 0x8181b600,
+    0x6ccea9dc, 0x86d8b4b7, 0x289e2069, 0x32adb959, 0x71ba9527, 0xb0ba3dd5, 0x65a22a17, 0xbf7e5559,
+    0x00295ebf, 0xe8a6cd89, 0xe6e8cfb4, 0xcef91739, 0x4e953577, 0x0c40109e, 0x7892c7e4, 0x6d0343ab,
+    0x9c584db6, 0x2ff3ca09, 0xc06d8bcd, 0x11585476, 0x99a60f47, 0xc6fe9c05, 0xee0a053e, 0xeef874c1,
+    0x6ad4b5c5, 0xec473aed, 0xe9412b13, 0xe343aca2, 0x582bd138, 0x2c3d8c04, 0x7a51674c, 0x599ec860,
+    0xf38f8cd6, 0x01ccc3f8, 0x3cc29a9c, 0x187d8000, 0xbf4213b0, 0x93122490, 0xf151816f, 0xf5748e69,
+    0xfa2a0876, 0x688c6107, 0x6398eee1, 0x1c955e34, 0x55e8280d, 0x94c99a6a, 0x56747f73, 0x817d3dd8,
+    0x9c29370d, 0xaaf6392f, 0x1d6db250, 0x0af777d8, 0x0dad27c4, 0xe5f67109, 0xe786c48f, 0xf6dc0e2a,
+    0x73342284, 0x9fe2d6bf, 0x8246ba3f, 0xc1e42c5e, 0xca73f2da, 0x805ab11b, 0x09b27281, 0xd5e16305,
+    0xcefddf21, 0xc6ae0d7b, 0x97bbbcbe, 0x1a8fe874, 0x4da93901, 0x6ce05c83, 0x76ab42d9, 0x254a8dd2,
+    0xb6d111d9, 0x025c11e4, 0x452ada08, 0x3df99139, 0x622fc2c3, 0x96b9e113, 0x30d1fa06, 0x228b163e,
+    0x501d8f82, 0x50f91642, 0xdf5afab8, 0x3839afc3, 0x77fd5c3c, 0x0421b197, 0x0e3d545a, 0xc3323509,
+    0x9bd90ecf, 0xdcc59da4, 0x3eced699, 0x4b61e7b1, 0xcf09eca2, 0xa908ab84, 0x172afd86, 0xb1f43e88,
+    0x17cbdea3, 0xb26c685e, 0xe41e4f75, 0x956ae9ec, 0x525e4d8b, 0x2f271f24, 0xbbfcd5ad, 0x5371b7f0,
+    0xfaed3399, 0xe59aa419, 0x12c42a42, 0x4c2dc276, 0x177b85f8, 0xbe437383, 0x9d345e4f, 0x5e9a2642,
+    0x26aac05d, 0x963b5db9, 0xe49d35d6, 0x1181ebf6, 0xb5a1d6fa, 0x9114fbf7, 0x709f82bf, 0x914ae566,
+    0xad466f56, 0x003b6a87, 0x069fee10, 0x10db334a, 0x6f4a26c8, 0xbe3bbccf, 0xc101124e, 0x6381600c,
+    0x67216e20, 0x00914517, 0xc00fdd31, 0x6fda930e, 0xcb3011ef, 0xa5e82d4a, 0xd86858f4, 0x92662e8d,
+    0x74c6ee7c, 0x955c3214, 0x7f805d3a, 0x89c85f4e, 0x37b87397, 0x0175ae99, 0x824fb5a8, 0xf57615b7,
+    0x0739cfb9, 0xeb258d1c, 0xf1c948ef, 0x2c715409, 0xc2cb86ba, 0xefb29226, 0x19b4b91a, 0xb2e39659,
+    0x55df1b71, 0xfe896db3, 0xc8d9ff1e, 0xdc8deb2b, 0x37fba88f, 0x277cef6b, 0xcb37e2f8, 0x7e893a7b,
+    0x8825a3c8, 0xb60f4b64, 0x901826e5, 0xea25f820, 0x7bb9d945, 0x16fa6585, 0x2ec7e31b, 0xcb1fbdce,
+    0xfe2acb6c, 0xe0471f6c, 0xef4af897, 0xa4355e87, 0xeb7dff0b, 0xff55316e, 0x6ec00176, 0x6278fb8f,
+    0x1717eab5, 0xad10ab94, 0x467edf7a, 0xbb52b5af, 0x2e1a3261, 0xd234176e, 0x73c37e50, 0xa9eaa91e,
+    0x026885f0, 0xd479429a, 0x44a5b1b4, 0x9ac1b120, 0xa8e512f2, 0x33a13570, 0x66f164c4, 0x4679d29f,
+    0x420c5a6d, 0x38abba15, 0xd26f6b18, 0x425db99e, 0x16fe9d43, 0x28e5cd8d, 0x09a8adcf, 0xbdc58d72,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000020859248397665137\
+                         52338888384931203236916703635113918720651407820138886450957656787131798913024 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5,
+    0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c2, 0xce833287, 0xef4eea8e,
+    0x00000000,
+    0xc3ded09d, 0x5bb06af7, 0x77e7ed58, 0x8ff62a01, 0x63bde000, 0x336a9b7b, 0x02bd2e6c, 0x6369cfec,
+    0x18517ec0, 0x9ced3b48, 0x37eababf, 0x4f6975ba, 0x410f46c0, 0xdbf1e173, 0x0c2d74b6, 0x9373f920,
+    0x059f079f, 0xaf3f67e7, 0x98b54176, 0x41ce1262, 0x687195d8, 0x02519488, 0xefc73237, 0x58d4b4de,
+    0x9dba3389, 0x0f71e36e, 0x98e9e2d0, 0xc813aa09, 0x128bcd57, 0x378d2821, 0x5e2a7209, 0xebb173d0,
+    0x1cce830d, 0x1e350e49, 0xc95a4eb5, 0x969c6762, 0x526d6d61, 0xf666f9cb, 0x4d2efb82, 0x48527f2d,
+    0x7cc93608, 0xfc5b8585, 0xc65d7b01, 0x249cee6c, 0xcfa3bc47, 0x01de641f, 0x50aa7a54, 0x990d8521,
+    0x51ab8d67, 0x18261f05, 0x45640052, 0x2d87d552, 0x5ccd3897, 0xf4e03533, 0x64b76c58, 0x784c9b12,
+    0x767c7d6d, 0x86704d90, 0x05a7eee8, 0x6cecef12, 0x27f4ab89, 0x13338444, 0xcb09f851, 0xd16a09ce,
+    0x58b09daf, 0xce63788d, 0x9a28faaa, 0x847e161f, 0x807e1b99, 0xabeea182, 0x34f40169, 0x16b0c651,
+    0x56428cea, 0x7c222b68, 0x65f9c190, 0x57129422, 0x4f2e4edd, 0x3d8351df, 0xe7031cb9, 0xc7ae5b99,
+    0x63c6bf66, 0xcd6b43d2, 0x64177de0, 0xab4a6390, 0xa30cbad8, 0x62e4b782, 0x62c63198, 0xa5c96082,
+    0x4d7c35ba, 0x304733ed, 0x066c5184, 0xfcaaae2c, 0x63a3c5a4, 0x3ea55a6e, 0xc8fc5d5c, 0x4fcb3d8e,
+    0xccd1a63e, 0xc88953cc, 0x8e923c67, 0xbb679c2a, 0x2e401c84, 0x330c060e, 0xb3e8adc2, 0x715132ea,
+    0x530f61a0, 0x421aba58, 0x0fc39d3b, 0x250abd53, 0x024256ce, 0xef4ad98a, 0x3ca83c3a, 0x29368df8,
+    0xf4719718, 0x9f7d3d56, 0x2b896b86, 0xa543ae22, 0xb295c7b4, 0xf14cfe81, 0x510fcd50, 0x1ddaace3,
+    0x6c6be992, 0xf36030dd, 0xb223e7e0, 0x75840bd2, 0xb117bfbe, 0xb913dc75, 0xdca95f12, 0x9df010f4,
+    0x992e2763, 0xebe824f0, 0x5dded304, 0x1b4da020, 0xef946b14, 0x89bb87b4, 0x2ec00cf4, 0x699db3b6,
+    0xf1bd5714, 0x145fcb08, 0xae687cac, 0x440610a1, 0xb7e79df0, 0xae234e6c, 0xff47ab15, 0xfa1baad9,
+    0xb9ddcaf5, 0xb98f1e7a, 0x7d9c6a7b, 0x22795f8e, 0x910839a9, 0x2d9453b1, 0xe06e886f, 0x5d4899f7,
+    0x4e7e38fd, 0x6a1e770a, 0xa76e6deb, 0x35779893, 0x92403780, 0xcdc7e532, 0x1415d6b0, 0xfb955a21,
+    0x6e6edee4, 0xa2efc8d1, 0xfff90c5f, 0x8028ad45, 0x0ee1ee94, 0xd32852c4, 0xc9ed5620, 0xb1b91484,
+    0xa3e4e0fa, 0x02ec5351, 0x92b68e2a, 0x031197a8, 0xcce4a7c8, 0xd0154172, 0xc1c6c36d, 0x5230566c,
+    0xa8ee441a, 0x17b927d0, 0x3e2f3dbb, 0x3428deb8, 0x3ca4b729, 0xa570deef, 0xa335122c, 0x3821840f,
+    0xeb5b3f16, 0xa98edb86, 0x4d142f75, 0x1913c832, 0x8e81ae27, 0xc9dcd4fa, 0x0109da7d, 0x1f6feaf9,
+    0x0c249b80, 0xee08b87e, 0xccd1412e, 0x0635b176, 0x81cbcd50, 0x20e160ef, 0x3067b647, 0x92087d0f,
+    0x326078b6, 0x464ff288, 0xb9db30d2, 0xbe21403d, 0x0c3e7190, 0x92fe3108, 0x0ea1d3d4, 0x5ed504bd,
+    0x0ee85fa9, 0x8e802fa9, 0xac69ded7, 0x28df0ab7, 0xe17a58a1, 0x424cccb8, 0x9e317072, 0x32a9abc9,
+    0x8bd2b7e4, 0x2f69aed0, 0xa0f5694a, 0x8c4595ec, 0x72b31185, 0xe09ed89b, 0x097288dc, 0x51f538b7,
+    0x4f2dc94b, 0x39367356, 0x9bb626b5, 0xb4217acc, 0xab7c4f45, 0x74bdeebe, 0xb979dc64, 0x2c15d0bc,
+    0xcf6c0fb8, 0x8889fa83, 0x5ecb59e2, 0x991fea94, 0x5cab017b, 0xd8341665, 0xbf5311d1, 0x0cf94909,
+    0x5c32c19f, 0xcdd07cd6, 0x94b91a54, 0x60d0ef35, 0x17e89103, 0x472f814b, 0x6f150e86, 0x9ebc42f1,
+    0x8760bf64, 0xa6cfa4be, 0x7d508175, 0x31ca9db3, 0x8809b809, 0x9bbe1813, 0x58a76d41, 0xa6a981c2,
+    0x219fc01d, 0x6ddacb52, 0xe0425708, 0x6e597808, 0x2d0bb737, 0xb280b355, 0x605b0468, 0xe17a5b7c,
+    0x06ea13b1, 0xb118a68e, 0xd7734f69, 0x894a78d0, 0x0a1bafb3, 0x91baa7de, 0x6c049a47, 0xb94c3de1,
+    0xbbd42c9a, 0x9658e2a9, 0xc09fc4a6, 0x3a3d23c8, 0x04a4fbd8, 0xf9fca9e8, 0x978f9756, 0x6583676b,
+    0xabb23bb6, 0x9049cdbc, 0xc35e8fea, 0xc5ef6cc5, 0x975fda69, 0x646ea65e, 0x3601fbda, 0xb70871b4,
+    0x78d481ed, 0xad9ce994, 0xecd516e0, 0x13c92d69, 0xbb0dbbf1, 0x208ae231, 0xf493539e, 0x3c559022,
+    0x0c3b8d78, 0x93ff43c6, 0x36843b47, 0x842ca2e5, 0xb55b9a73, 0xa0817bfc, 0xd235d132, 0x2290d0e3,
+    0x0c6296ab, 0x0cbf5b5a, 0x87034926, 0x3e70dbef, 0xeb25203d, 0x7f09695e, 0x8ccabf73, 0x61072fe8,
+    0x82ae957f, 0x85dc8028, 0x48e7c894, 0x8e1db6a4, 0x48fd9192, 0x43219d2e, 0x8baf6763, 0x4692b011,
+    0x15f5034c, 0xf7d809ae, 0x8e5940d2, 0x13a6b89e, 0x1f1d6643, 0x786381f2, 0xf9b1fadc, 0x2d31f5a9,
+    0xa2214b0b, 0x9eddd938, 0x94b6bee7, 0x2e9b8297, 0xc839d8d8, 0xe2fb8d48, 0xcec0c0f6, 0xf6425666,
+    0x8488f4f2, 0x45273046, 0x7841da5e, 0x68ebf93c, 0xed0ba309, 0x0915d56f, 0x6474cba0, 0x57196b6e,
+    0xb3957234, 0x4efaa3ca, 0xd8747902, 0x02eeefb3, 0x6dc8e7ca, 0x3a3be40b, 0xf9d5a7ed, 0xc8b18cea,
+    0x3bebf825, 0xc73159da, 0xd0975833, 0x45f81446, 0xe36ce9b5, 0xda9e859c, 0x0e57a9b4, 0x5c365b3c,
+    0x02edf56b, 0x8f40c546, 0x267a3312, 0xb44a2c37, 0xe5e85709, 0x2a37c6d6, 0xfdf3e137, 0x4b41dbe6,
+    0x8370b330, 0x7bec59f8, 0xe4e40082, 0x7e21b978, 0x98e3d05b, 0x0068bc0a, 0x839fe005, 0xdf479a18,
+    0xbcb5aab8, 0x2af1b8e0, 0x887412ff, 0x08fc460a, 0x7f4c10be, 0x57f409da, 0x60ed705a, 0x82b6e4ae,
+    0x5ba846fd, 0xd2cde3ef, 0xe255e319, 0xa4a6036b, 0x14525f11, 0x4292f459, 0x9997a87e, 0xf9503015,
+    0xdb9decf7, 0x53409874, 0xd88da916, 0x55909c90, 0xf52443be, 0x36714bbd, 0xf6bf4f17, 0xf1fb808a,
+    0x1812d1c5, 0x24b7d5ba, 0x2fbdf27d, 0xb4cadc1a, 0x2f480386, 0x401f830a, 0x2f82e684, 0x84e4f3db,
+    0xb7b4ed6b, 0x76547163, 0xb3042c21, 0x5bab0685, 0x521865b9, 0x421eea9a, 0x634b89f4, 0x83b8d88d,
+    0x6d3d593f, 0x4b7b2d24, 0xa80cf178, 0x2dce5145, 0x3130a213, 0x8c65eba1, 0xed49370c, 0xbba48c91,
+    0x5b9ba3dd, 0x142982af, 0xc55dac81, 0x2f080779, 0x8c8e8f77, 0xd78014c6, 0x5e6c2c0a, 0x30f9298b,
+    0xce4a13fe, 0x676f1a43, 0xa04d05ba, 0xe97e5e6b, 0xfbf66f42, 0xd90d0c79, 0x19cba3e3, 0x74d24bc2,
+    0x7ec155be, 0xb853664c, 0x80787186, 0xe099a71b, 0xd99cfae9, 0x805ddf36, 0x3ca0736c, 0xb04886e0,
+    0xe509a9ef, 0x8e70668d, 0x83cb7419, 0xc7123e16, 0x942c8c5e, 0xccfb7cf3, 0x7213dfce, 0x7593a89a,
+    0x27f7f3b5, 0xafe3e461, 0x626396b0, 0xcce5add6, 0x17f613bf, 0xf98af81d, 0xfca76e6d, 0x7125096d,
+    0x73787343, 0x2b2cfe89, 0x8f51cf90, 0xa0ed7289, 0xfe9e9f1a, 0xa4fb4ec9, 0xf8b338f2, 0x3b667369,
+    0x00a40828, 0xaba01367, 0xafb66d18, 0x24dc0861, 0xa1f32980, 0xb04e7748, 0xbeb5e5b7, 0x73327fac,
+    0xb67cc35b, 0x9f08a432, 0x66c1be75, 0x481042aa, 0x17d37fd0, 0xeaa864fd, 0xda5ebb52, 0x027b56c5,
+    0x829b1c29, 0xc5029407, 0x34daf20b, 0xeda14785, 0x2bacb106, 0x79d8ddc2, 0xa2260fff, 0x7f2deac0,
+    0xbc63b7e9, 0xe037f094, 0x9cf4c4fa, 0xae2cb4da, 0xc90452c2, 0xa2c494c3, 0x460ac8c6, 0x80cce11d,
+    0x8bd694db, 0xd58bde2e, 0xc24b70c4, 0xb8189f24, 0x0b3c86d6, 0x22313f42, 0xe0c2fe14, 0x31920b68,
+    0xc74736fe, 0x1282b070, 0x1a800b2b, 0xa607f8bd, 0x36b6cab7, 0xd378b08b, 0x5d2268f4, 0x586d6002,
+    0xa87a047b, 0xeb63fc20, 0x012838a0, 0xaf2b9e73, 0xce5602d3, 0x1a081331, 0x7c34d1cd, 0x62a1c998,
+    0x3e3ef548, 0x546acb21, 0xd1663e86, 0x51366171, 0x639f39cd, 0xc7689aa2, 0xadb42724, 0x17c349c9,
+    0x2bd37a8c, 0x2d21ff80, 0x144eeed5, 0x9daef901, 0xf0151132, 0x8a3d6116, 0x6cc22432, 0x05183825,
+    0x2593c8ae, 0x880de5c7, 0x2ff7bc3b, 0xa0b75478, 0x292719fd, 0x5fb095d3, 0xdf7ad0f5, 0x4b5c64e6,
+    0x13c4b4c8, 0x7b046b01, 0xc506b66b, 0xed26f105, 0x1d2bf293, 0xdb710ee9, 0xf07af191, 0xbc14750c,
+    0xea395ea5, 0x3fc7a0ca, 0x6194f0b6, 0xed53535a, 0x8137243c, 0xdd32813e, 0xa62157db, 0x9357a6d2,
+    0x861e8f27, 0x462a2d8f, 0x4c3082eb, 0x64d6421c, 0xe445ec0d, 0xe65fdb20, 0x4f25515a, 0x197e7eed,
+    0x4ecd0cfa, 0xf5b9f385, 0xed93f8a4, 0x844cc068, 0xbba6c345, 0x4b4c3b9c, 0x2e2d230b, 0xc7a8b90b,
+    0x869ee40d, 0xe655ad16, 0x3909a5c7, 0x2a4c3008, 0x408b1d1f, 0x0ff82002, 0x07c8ef47, 0xe925ee32,
+    0xb8f1cca7, 0x447ad296, 0x8ac40823, 0x532e224d, 0x54386700, 0xe8414a44, 0x70e27ccc, 0x32d13f38,
+    0x0eb46f16, 0x59caa57e, 0xdd76072d, 0xdd440215, 0x14480a3e, 0xba7a9e3d, 0x2c6214cf, 0x6a69d51d,
+    0x4aeb2e6d, 0x5a2ccce3, 0x33906eba, 0x9c21cb17, 0x37435e1b, 0xa055d4b6, 0xdc2c1251, 0x490b42c8,
+    0x6772aa2d, 0x4747f6cd, 0xc42728cc, 0x0f238545, 0xc011d680, 0xdcdf7e5b, 0x21d9f133, 0x68824c50,
+    0x9aec1982, 0xd35a8b76, 0xcc03ed1a, 0x9e7846ff, 0x44f5edeb, 0xa6a0579d, 0x735ff412, 0x2b7f12bf,
+    0xa0c14be0, 0x78334ae2, 0xe050ad26, 0x4eadb642, 0x08f81f8c, 0x62102ebf, 0x514ccee3, 0xad52ceae,
+    0x692c9393, 0x393b8c97, 0x67a9875d, 0xe00c1163, 0x85734727, 0xc0a5cdf5, 0x1a1fdb71, 0xd29eb4bf,
+    0xe6263fe3, 0x4f9d4e8e, 0x27b54165, 0x2c0e1353, 0xa62eaed0, 0x99fb7bbb, 0x8bff445a, 0xd6603adc,
+    0x1e9d5c16, 0xeaf443a7, 0x155e5b76, 0x297c6785, 0xc2fa7883, 0x371b0430, 0x1d97ce29, 0x07933e10,
+    0x812fa41d, 0x72e39b6b, 0x39312ffd, 0x4e9593d5, 0x91964fd6, 0x158739cf, 0xe1a7cabc, 0x00a1a8ce,
+    0xbab89524, 0xc35bd408, 0x08fd7501, 0x2c824eef, 0xeb69523c, 0x894d583b, 0x779fdd61, 0xfdb10d28,
+    0x7a689f63, 0xe07a7daf, 0x2b9a38d8, 0xf1dc29f6, 0x6c8a11e9, 0x3eb7fe7d, 0xd91603f7, 0xe3ae99b4,
+    0x631186f2, 0x84700abe, 0x8135caef, 0x49d678b9, 0x7cb44b58, 0x0d7736da, 0x55077425, 0x9de4c4ae,
+    0x5c709d7f, 0x3f0d2871, 0xc4cabd4a, 0xe857feb8, 0x04d42cf5, 0x48fb4971, 0xe43c4c41, 0xc8772290,
+    0xa00e10f6, 0x24feec71, 0x1bd43f5a, 0x5ee5fac7, 0xd0faed1b, 0x4a7ef9b6, 0x58a58292, 0xd5651cdb,
+    0x65dc960d, 0x742c6e6e, 0xed969696, 0x18a68418, 0x4f35dfa1, 0x381a0fcc, 0xcd26f856, 0xc5e4149e,
+    0x74080bc0, 0xb47a8efb, 0x50dcb00e, 0xb2b6222e, 0xa1ac81e3, 0xa9af0b47, 0x3af09318, 0x19d6ee6e,
+    0xad044c90, 0x8f4dbedb, 0x84819820, 0x3a401268, 0xe127b008, 0x37a29b98, 0xe9b8c66f, 0xcb39f2a6,
+    0x3a22ca20, 0x5179beb7, 0x4d1cdc91, 0x3d1b51e0, 0x7e99d227, 0x846740e7, 0xe3b69e02, 0x0e1cc9cc,
+    0x055f85c5, 0x4ed4e4f0, 0xa834ae00, 0xe6f3e0e1, 0x25c22205, 0x5acc22c6, 0xe1477e59, 0x4de3951d,
+    0xc89a7552, 0xc15ac2e7, 0x60415df1, 0xce0b2c17, 0x40985f6a, 0xdd39dcf0, 0x49341fed, 0xe5b9c3e9,
+    0xd8859611, 0x3cf08427, 0x1f20cf3d, 0x73d0051a, 0xee26eb29, 0xa75c7165, 0xbc040e90, 0xe6e04689,
+    0x68b57a56, 0x7b0ae507, 0xafb3a45c, 0xd5fa439b, 0xe0005467, 0x5104772f, 0xdbb26c70, 0xfe6e1cb1,
+    0x1e837708, 0x587dddc5, 0x8939dcfd, 0x5c313976, 0xe787fdc1, 0x2d59f09c, 0x9c74597d, 0xbfe8e595,
+    0xdee3693f, 0xec30caa4, 0xb0a3c8e9, 0x6e4eda79, 0x4d5edff9, 0x9f0d0329, 0x5b6ef82a, 0xcb4c4973,
+    0x64aae4ca, 0x0d1a3678, 0xd1dc984f, 0x8b675c2f, 0xf9ad38d1, 0x4b1b7d84, 0x1e2fb944, 0x17f77987,
+    0x8b7f01ae, 0x60813dc9, 0xc5f6b15d, 0x795727a5, 0x25d5f4f3, 0xeddaa788, 0xb7fed3fa, 0x67260ee9,
+    0x6f3d78b7, 0xf0f81315, 0x5276687d, 0xfa2422be, 0x5949efa6, 0x28feb0ce, 0x1651cae1, 0x6300db98,
+    0x8bbe48cc, 0x3e8897a8, 0xafa90063, 0x0f34593a, 0x780c8698, 0x79909909, 0x50394419, 0xeedcf1a2,
+    0x7141a3b7, 0xd65059c7, 0xd7d4bada, 0xb4379474, 0xa8d2f930, 0x3f60e255, 0xd77b742a, 0x22b49a3c,
+    0x61bcb418, 0x9dd6b16c, 0xd0f32594, 0x4168da09, 0xb7333d10, 0x4cab5800, 0xef74c6a2, 0x74615051,
+    0x6e1ddf18, 0x5f8837ad, 0x0819f908, 0x3a9acec9, 0x5048afd5, 0x07e2a4a4, 0x8f4ea314, 0x352afaf4,
+    0x0d69ef2a, 0xa0e64206, 0xd71b8c8d, 0x716d1dbb, 0xe8b495b1, 0x43e11903, 0x6233dbff, 0x340da1c0,
+    0x307ccfeb, 0xf64b910e, 0x185201b4, 0xc0cfeb73, 0xdbbc23dd, 0x6a2e72d0, 0xaea6d13d, 0x8364f253,
+    0xde2af3cc, 0xbf3af279, 0x031e32b5, 0x08523677, 0x87083ce2, 0xad41008d, 0xa243a8c4, 0x62b9313b,
+    0xf4dccfae, 0x04d4c2d8, 0x5036398a, 0x2768a022, 0x384afec6, 0xb94a7bb0, 0x0de4fc2b, 0xd9ed34dd,
+    0xe903b8ab, 0xabf71e19, 0xf35e018d, 0x96ea62bd, 0x5f1890ed, 0xfd9e9fd9, 0x5804516c, 0x0451786d,
+    0xa9082822, 0xeb7efdd3, 0xb8e35605, 0x66fc9715, 0x286d4f91, 0x4ce77675, 0x6f9fcc90, 0x351f8ece,
+    0x2c692f22, 0x8b445225, 0x626a47b9, 0x853dd287, 0xb68f4cbd, 0x250c17f6, 0x3af970ee, 0x7c8be548,
+    0x645d25e7, 0xdeb13377, 0xdc87c6bc, 0x8afc1909, 0x2025940c, 0xc52a3ce6, 0x1c5d8c19, 0xba0c1c89,
+    0x22983aca, 0x056b8b3d, 0xed4ae0eb, 0xca78c119, 0xb416a7ea, 0xd954e047, 0xa645e7b3, 0x67d831ce,
+    0x44a5a807, 0x1accdcd9, 0xaaf0072c, 0x56040819, 0x10438645, 0xafc6a79a, 0x75075f84, 0xee8d8a68,
+    0x02f46955, 0x8b7f717a, 0xfebc7409, 0x9fd916b4, 0x7ff05adc, 0x9d5c43bb, 0x0d0e638e, 0xacc20b04,
+    0x0d74d5f3, 0xa98a8a6e, 0x25f3430b, 0x1c648f77, 0x7b6348e4, 0xc60655e2, 0x334757e7, 0xe91ba8c2,
+    0xf1e6b5d8, 0x3efa0f5d, 0x966b08ec, 0xb337ae9b, 0x01311188, 0x260844f4, 0x9b70eccb, 0x8863d473,
+    0xdbcc1dbf, 0x81756ab6, 0xabed831c, 0xd5efc946, 0xec9a74f2, 0x73188419, 0xcf979f4f, 0x058256f3,
+    0xb3a07afe, 0x20b77970, 0x61a6e022, 0xa29eb8a1, 0x2c6fc8f6, 0x254e3694, 0x157d4663, 0xeab1cb19,
+    0x6bd1f4df, 0xd3737216, 0xedd943e4, 0x5e88a7c4, 0xab839719, 0xa89e41d9, 0xe3a42df9, 0xa37fdf97,
+    0xe618ddec, 0xe475ec1e, 0xe5256d8a, 0x1c5c4504, 0x17d76600, 0xdb907fbe, 0xc97b8f24, 0x8d120323,
+    0xee3121fb, 0x85cdbe79, 0xcaacaf8d, 0x2cbf2b51, 0xb21485c2, 0x8eb51d50, 0x65b39150, 0x69a796de,
+    0x019b9314, 0x91f79a58, 0x44b09292, 0x3cc4dccc, 0xe346ba21, 0x5bd88145, 0xe8ebd073, 0x4d532118,
+    0x1c7bd9ec, 0x1c303219, 0x44565ccd, 0xd5a16781, 0x410de0f5, 0xe98f6370, 0x05f2c12e, 0x50cf068d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000010429624198832568\
+                         76169444192465601618458351817556959360325703910069443225478828393565899456512 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2,
+    0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e1, 0x67419943, 0xf7a77546,
+    0x00000000,
+    0xdfed08b0, 0xf0f2a7c9, 0xb9acbd5f, 0x3f92035b, 0x949f5b0a, 0x7990062b, 0x6e4e3cd2, 0xd808f8b3,
+    0x7da7f731, 0x1bbd8f51, 0xb917a4ca, 0xcea66425, 0x501752e9, 0x39467f55, 0xa0b1ca94, 0x2f26df60,
+    0xd0c9cf83, 0xe3f0b4fe, 0x706429e8, 0x80611322, 0x7d70ac79, 0x5962cfc6, 0xd6c47d69, 0xbc8a6f1b,
+    0xa2034d24, 0x8262ec49, 0x5114e541, 0x16b1c83a, 0x5981b75d, 0xf039a3dc, 0xc16760e4, 0x8318c637,
+    0x0a075b32, 0xff1e4369, 0x0fd54f49, 0x7ca6baa6, 0xa3c8a8d1, 0x454adfdb, 0x5039772d, 0x727c2c1e,
+    0xb2e7dbae, 0xc2dbd026, 0xb1ba6504, 0xc3108fc0, 0xbd249aa9, 0xcd964a03, 0x78731642, 0xa4bf4de1,
+    0xde9cfe7d, 0x23044aa2, 0x1dfb1547, 0x22a40982, 0x7032c0c1, 0xe771a24a, 0xa69957e0, 0xcdc3f095,
+    0xa5ba8da9, 0xc059fac6, 0x70be3162, 0x84f279df, 0xb344296f, 0x3ff79014, 0x5da86548, 0x1f1469f9,
+    0xb3024dfc, 0x5fb959eb, 0x3bb7d72a, 0x30f77dad, 0xc7c03bed, 0x6d7ef82a, 0xebe5333c, 0x8948ca85,
+    0x0659a856, 0x45139f8d, 0x9a022bbf, 0x390657f0, 0x633dfe8a, 0x166fea3d, 0x4b81b31e, 0x8398d850,
+    0x3da8af75, 0x9f24e2b4, 0xd85542db, 0xf8854049, 0x0781121b, 0x83484391, 0x07f8515b, 0x42479be2,
+    0xdb38e5b7, 0x0283330a, 0x01475c92, 0x29cb2e6d, 0xf8d4d024, 0xe5cb39ca, 0x536c53ea, 0xc1b172eb,
+    0xc81b890e, 0x45db9190, 0x8309d3c8, 0x81b81f1f, 0x6b821de6, 0xa42d7a57, 0xbda4401e, 0xa05c7918,
+    0xf6e118b8, 0x3b711a3a, 0x160f2934, 0x360e769f, 0xb21276a8, 0xfb414e11, 0x5a69e2f0, 0x66e0df8a,
+    0x7de93059, 0x1da517e5, 0xbd0396e8, 0xd44b988d, 0xcd95fab1, 0x22455e74, 0xbdf7fff8, 0x6079ccfe,
+    0x1cb1896f, 0x3fa6aab9, 0x94a952ef, 0x8335c1d5, 0x16ba71e5, 0x347bf0c5, 0x35d0d4d0, 0x795a9179,
+    0x8560afe0, 0xa42a9876, 0x2dba1b77, 0xa6e374b9, 0xb594d9e8, 0x7e0853ac, 0x22af8b50, 0x0b6c0925,
+    0x031bde23, 0xc60ec074, 0xe2db1801, 0x703be725, 0x01947084, 0x51e7603a, 0xde2506f8, 0x0408fcde,
+    0x29bd7434, 0xd24bfdfb, 0xc1c16a7e, 0xae70221b, 0x81fb1ca1, 0xd0e1a727, 0xc8256205, 0x36ec9d9a,
+    0x43fa447e, 0xbfde929e, 0x521d9442, 0x19e64258, 0x98c64608, 0x0dec9e1b, 0xaf683d68, 0x4d62d035,
+    0x2c21c60d, 0xa579fab5, 0x29fbc017, 0x924dfc28, 0xfc16128e, 0xf7c09ba9, 0x5112f9dc, 0x7f5ff247,
+    0x857b5a49, 0xf46402e6, 0x1480fb4b, 0x57b49fa6, 0x0137f6d8, 0xbfb74767, 0x669acdbe, 0x5e313a95,
+    0xbd52fb63, 0x8ab60310, 0xf626c537, 0xecea406f, 0xa3e55df6, 0x93bcf3ed, 0xacbd544f, 0x7bdc5f6b,
+    0x6e975f59, 0xa9afabd6, 0x3c50b145, 0x4d65ff21, 0x34344a5d, 0xc94315db, 0x88e20c5d, 0x7b96d1c2,
+    0x28188604, 0x05137404, 0x1ac641b4, 0x9aa63853, 0xa5fa8523, 0xcf6059b9, 0x31f0d930, 0xbe9021b6,
+    0x0752020e, 0xfe65ba57, 0xf8cd4d52, 0x3c904c97, 0x6c120111, 0x6e47a8a8, 0x9fb9ad23, 0xf22aebc3,
+    0x5ac56cd7, 0x7d9ab265, 0xdea0151a, 0xa6c4d61b, 0xa7ff7e44, 0x46e211b2, 0x1421dac2, 0x6ff57a48,
+    0x7055d888, 0xfd87f662, 0x31320695, 0x0f86127b, 0x42a40202, 0xa36ed1ea, 0xdee45a11, 0xfc64985c,
+    0x57e5688e, 0xd384ca05, 0xad981f3d, 0x9a41193c, 0x8014d549, 0x5d08bb12, 0xb212a1d3, 0x9f8c2c28,
+    0xdbaa3935, 0x064ceef5, 0xaaaaf356, 0x5e6031e9, 0x5d31c7c2, 0xb7df757c, 0x9690254d, 0xa9cc0103,
+    0x6555a7bb, 0xcf86e843, 0x37451b7c, 0xab6202ab, 0xd9e61679, 0x8f0226bc, 0xef6e8e55, 0xf6093ff9,
+    0x9a35f5f0, 0x0611a1bb, 0x8e89c917, 0x73ed80ba, 0xfab83e3c, 0xe6fa3752, 0xe7e057bc, 0x12e0f571,
+    0x9dd55a72, 0xccbdeded, 0x232a9508, 0xf39bf577, 0x8a5d18c2, 0x537305a9, 0x827e631a, 0x8c47c1f4,
+    0x95920e9e, 0xd1cf692f, 0x007ee1b6, 0x160f614b, 0x698d1b92, 0x501f4af4, 0x7e466a1e, 0xed9dfdc6,
+    0xb34c0c36, 0x2d63734b, 0x0b01cbba, 0x2cc10ef8, 0x952bf7fd, 0x504aa903, 0xa80728d4, 0xada147d9,
+    0x34bd1b3f, 0xaea8d753, 0xc2db74c0, 0xd1c8048f, 0x2e17c1f4, 0x23556618, 0xd7b1ff0a, 0x88e9f7ee,
+    0xe4ad295d, 0xa151dee9, 0xf0d853b7, 0x1a63a6f0, 0xeee5fbc7, 0xffc8dcfa, 0x973b0109, 0x9f93c095,
+    0xfba5eed1, 0x53690ebc, 0x27fce299, 0x349e13d7, 0xae7cc65c, 0xa6b1553e, 0x009cc59f, 0x715897be,
+    0x2427dc99, 0x0abcfff8, 0x8a83cdbe, 0x2d87e318, 0xafe934fa, 0x32220ba1, 0x41366800, 0x0582babe,
+    0x17fc70d3, 0x3ea516a6, 0xacb1afef, 0xa56caad5, 0x92238ffe, 0xa76d9676, 0x58535e94, 0xbf8882a8,
+    0xce6a6a90, 0x616bd74b, 0xd47b52b0, 0x64ef5428, 0x9c4ba912, 0x463cc15b, 0xb04fc99a, 0xcc97873a,
+    0x7c908af2, 0xb36e7bc6, 0xb3c1f806, 0x56e1cd30, 0x266b607e, 0x38405e2a, 0xac9530c3, 0x6e1ab450,
+    0x5f187b40, 0xaf2360ad, 0xf46679be, 0xe1d2bba7, 0xde6e3f59, 0x8c61b476, 0x115f46de, 0x3ddfe3f4,
+    0x2779f16c, 0x0ba90b75, 0xcf69709d, 0x9a858926, 0xff07bb53, 0x39e325d9, 0xfe08e898, 0x382e93d4,
+    0xfd6fac9d, 0xf8af09f0, 0x949d3955, 0x89cbe77a, 0x117545a1, 0xd7b9d315, 0xe8d5cd33, 0x22ba777c,
+    0x51411e00, 0x6dd7f22e, 0x1a69076d, 0xc0fad5c2, 0xe9a20412, 0x8790f2e2, 0x2fc8ed37, 0x775a116e,
+    0x339f0d2d, 0x71b4d2ad, 0x3d079f8d, 0x13a46b63, 0x28348882, 0x09879384, 0xa7e1c4db, 0x32d2ce2b,
+    0x4ebc56ae, 0x4ca49e92, 0x2d45958d, 0xa53c93ea, 0xb3008fdc, 0xbd30ce1b, 0xfc36f093, 0xe22966dd,
+    0xe63f9c9e, 0xbfd153bd, 0xcc49bc21, 0x814fc150, 0x02cc84bd, 0x0867ef7f, 0x8c5a0a63, 0x2a494d2a,
+    0x8721d15f, 0x3cb65365, 0x1824e0d2, 0x726c4b8a, 0xf7987e82, 0x15a39ea0, 0x8eac906a, 0x41b4b2ff,
+    0x209452d2, 0x22db6ddb, 0x847e94e1, 0x974c847e, 0x79ad526c, 0x12ca2705, 0xa7d9b814, 0x951ef5f1,
+    0xc12bb8c8, 0xf7dd6dd6, 0x3f411d78, 0x01d7e3c4, 0x18ea16a1, 0xecf0050b, 0x9b0237cd, 0xdbe3de24,
+    0xdb264f56, 0xf5c01fdb, 0xfdd3cec6, 0xfcbe89aa, 0xdb6172a5, 0xf82c4098, 0x90cdc0b1, 0xe69c4640,
+    0x2652a8dd, 0xdec05462, 0x1cab0585, 0x8b1ba619, 0x84debbb0, 0x0d0526b2, 0x7bbd0efa, 0x4c7c9e43,
+    0xc3d9ff1e, 0x8ecb64bd, 0x784b47d9, 0xbb672bb3, 0x4f5175bc, 0xc35b848d, 0x1ab556d3, 0x987af99e,
+    0x0344e563, 0x6b0f8e0a, 0x580ed59f, 0x1547c433, 0xc794d8ed, 0xb412caea, 0xec590cfa, 0x74af0bee,
+    0xd12f94e4, 0x58969765, 0x0eef483d, 0x4cf30ffc, 0xb54c9c82, 0x011aef53, 0x2145e860, 0x21fb16f7,
+    0xd586a92f, 0xcce8a2ff, 0x42a378b4, 0x4a1e654d, 0x26d0c65f, 0x60b5f04a, 0x01450156, 0x1bc2b8a5,
+    0xa14fd0dd, 0x4d7cfaeb, 0x4b6b4276, 0x3ddd68ae, 0x61c47052, 0x712d093e, 0xceebc4cb, 0xca5dc41c,
+    0x16aaa06f, 0xbc40fde5, 0xb6b8e4d7, 0xae008ce1, 0xa54eb8b7, 0x305491f6, 0xfa77f093, 0xef6d26fc,
+    0x6f911891, 0x63e981c3, 0x4efadb2b, 0xeac61ef7, 0x5344b761, 0x1bac8141, 0x6fa40da5, 0xa02eb0ee,
+    0xaeca8307, 0xc327ef07, 0x581f537b, 0x9e33e3f4, 0xeb799281, 0x8c8be099, 0x768e0d3e, 0xa02d65b4,
+    0xcd15ce21, 0x9a34da85, 0x7fe981fd, 0x2bb06a86, 0xbc8562c9, 0xe2c5a49f, 0x485c2798, 0x3bbaf0b6,
+    0x4cad55cb, 0x5d05329b, 0xcdde4a7f, 0xc9519e10, 0x571fe7ca, 0x06615fdd, 0x869f65bf, 0xff8d72a7,
+    0x63a80934, 0x9199e305, 0xc0525bb7, 0xaa931402, 0x342be2e8, 0x7864a4fc, 0x3a6bd0e2, 0x796064a6,
+    0xd96c7b85, 0x74fc4329, 0x79405191, 0xce15268b, 0x39931106, 0xa21ec162, 0xe562bfef, 0x76cdb79e,
+    0x73d290a7, 0xa01ef6eb, 0x8d62e695, 0x6702a398, 0x05a87960, 0xa4bc8951, 0x5c7dd4aa, 0xd9ad0ac3,
+    0x2f1a8db1, 0xf7074f85, 0x777924fa, 0xb8125e8a, 0x84bf3e57, 0x02fc1f1d, 0xdf872863, 0x6487fc59,
+    0x3cc1dc85, 0x42e88e30, 0xcccc939d, 0xb046b95f, 0x74082606, 0xbdeb89c0, 0x3939b66a, 0x1310f84c,
+    0xb0659820, 0xa303d8bf, 0x11b5639f, 0x5a729a0c, 0x22b55f74, 0x72b1b5dd, 0x8edc1ba0, 0x7ef41fbf,
+    0xc5a02b57, 0x9c1b604b, 0x7963ba65, 0x10b2d958, 0x8c63f66f, 0xfff6148d, 0xa6701523, 0x1b7f8754,
+    0x114b6227, 0x032a2254, 0xce9645b2, 0x25f3ab45, 0x48beb85a, 0x457b406f, 0x7ee24411, 0x115cf1fe,
+    0x7e8c53b7, 0x16e4b009, 0xabfa14e9, 0x276d3347, 0x34de3396, 0x92c08705, 0x1ec471d1, 0xaca49e3f,
+    0x34b08718, 0x5a84cac3, 0xb4061c36, 0x59f4e3df, 0xde438367, 0x26f9ddfb, 0xa2938119, 0x3de4cf48,
+    0x79cbdc70, 0x79aa6a5e, 0x1c4e157d, 0xe58c52f3, 0x06ae0d32, 0xe38d9ff2, 0xc3d95d8d, 0xe03c6952,
+    0x89571dee, 0xd93f952b, 0x2a1edbaf, 0x60305d45, 0x7d58380c, 0x313635d2, 0x8e4df92f, 0xc4274ef7,
+    0xd818bded, 0xa3f86b66, 0xd45cfefb, 0x919c679b, 0xfdbba690, 0xdf8d52d7, 0x23700be8, 0x46058487,
+    0xd1d5613b, 0x2742d4db, 0xaf7e86d5, 0xc4e8efa7, 0x0e124481, 0x67152d35, 0x716a0c4a, 0x84a53ce5,
+    0x51ddeedd, 0x613dddcd, 0x875ab012, 0x9ac268c4, 0x63b2ae8c, 0x0db9e2fa, 0xbaed4b12, 0x212b2822,
+    0xbb206482, 0xc309025b, 0x5ab82927, 0x8a0f0518, 0x27b0407c, 0xf9b79909, 0xce581a46, 0x5f5ad242,
+    0xc4d400ef, 0x2e9c4ecc, 0x04cd1dd9, 0x95b313fc, 0x87df35fa, 0x55304363, 0xd716cf70, 0x3c785602,
+    0xc17bcf2b, 0x5d9c7e89, 0xd31a85b1, 0x3494aa9a, 0x2d8ba824, 0x842d2c56, 0xf1b36499, 0x36afb68c,
+    0xccbfa56c, 0xf272d2ff, 0x8d75f3b6, 0xdeac9dc8, 0x95d7226f, 0x2d8f004d, 0xda59651b, 0x28e201cb,
+    0x4f87cb92, 0xa4aca7f2, 0x1543e5a1, 0xb4746ef2, 0xbcf9177e, 0x3dab6e96, 0x86ab3425, 0xb0f55558,
+    0x06b8cf61, 0x71e5bbcd, 0x0602d9ed, 0x60c563e5, 0xf746ef24, 0xeefe0e74, 0xc8a1056b, 0x34f59477,
+    0x6924b270, 0xd4d1b9e4, 0xb4c9a9ed, 0x32963bf0, 0xe74fb834, 0xfab16d12, 0xf454d2fe, 0x4351d174,
+    0x29ef4d2d, 0x2648977e, 0x022b2179, 0xcb49fa53, 0x53a758e2, 0x9729ce94, 0x6d282d5f, 0x0817302e,
+    0xe4fc147b, 0xbf386e84, 0x7fc9fb1d, 0x8c937078, 0xee8e87ea, 0xeb351e65, 0xbf9f1457, 0x7225857f,
+    0x158cae32, 0xed30fdb8, 0x969229cf, 0x27398928, 0x6e2b6f5b, 0xa6e812c4, 0x99933920, 0x0c395fe5,
+    0x6543eb9e, 0xee0f3641, 0xeacbf436, 0x512e9e9f, 0x1225ff55, 0xa3fdd9ce, 0xbf3bf937, 0xbd282fd0,
+    0x1d2f03d3, 0x7bb15c9b, 0xb5c622db, 0x9c4aef0d, 0x977a4d67, 0x0c35ab21, 0xa52aa8bb, 0x720e15c2,
+    0x3da6d65a, 0xfe1210a9, 0xe19a9a22, 0x2a623611, 0x279a15fb, 0x3f42edce, 0x91c65ddb, 0x4dc682dd,
+    0xe63e6d3c, 0x99b445e3, 0x33875309, 0xe12828e7, 0x3eb9b5a5, 0x0780e4ef, 0xfe755e6e, 0xdc76652e,
+    0x09ab1e6d, 0x09688365, 0x2917da2a, 0x29f87e19, 0x1c285bb6, 0x40a22027, 0x78e9157f, 0x5e7d4c71,
+    0xf2b18759, 0x33da53cc, 0xc49553b3, 0x403b37d1, 0x689a3896, 0x076b349b, 0x1f60a6bd, 0x5ebb3f5f,
+    0xc25dccfc, 0x08b1ccb2, 0xffd647b9, 0xdb19a947, 0xdb3282f9, 0x9c8d7bab, 0xfcde32ee, 0xd17c9a87,
+    0xece2add5, 0xa9354e4c, 0x27558433, 0x1fa0174a, 0x1f883a20, 0x1d1397b3, 0x21042fbd, 0xa351bac4,
+    0x1653d2fe, 0x4594428e, 0x47702ade, 0x7fd094f4, 0xd7f67e7a, 0x76266f1e, 0xad43b85c, 0x8aa7b7bd,
+    0x226e5222, 0x654a4bf8, 0xa4addf5a, 0xa57279d5, 0x3ca7760c, 0x79de1255, 0xda5d2c80, 0x75339989,
+    0x47fd536e, 0xade1032d, 0x74afa432, 0x6088617c, 0xd4b05dbb, 0xf3c9fdef, 0x9dd8e97d, 0x72bef7c8,
+    0x993234a1, 0x3e7e8bb7, 0x6c214039, 0x99b02c8e, 0x0e2f8f0f, 0xeb47a332, 0xcb8b60a3, 0x29aa1b3a,
+    0xd39b6aeb, 0xc609a839, 0x6e4cfdc7, 0xab0aec69, 0xc5f0be35, 0x7815085d, 0x93e79e40, 0x32296365,
+    0xf1ac7691, 0xda2a41d2, 0xcb1e6162, 0x8cecb3fa, 0xf641b7c9, 0x153fd4d8, 0x1b8e1362, 0xc3e710f2,
+    0x45689ebc, 0x0b74b1fa, 0xcd45f97c, 0x59a1b9de, 0xec2745b6, 0xa0c23f2e, 0x9ead724c, 0x7cbae731,
+    0xcf943a4b, 0xc673d3bd, 0x9d7455c3, 0x4f6654ae, 0x4e7459e5, 0x5c6762e8, 0x304dd534, 0x0386b9c7,
+    0x7c672e31, 0xeddcb497, 0xdd26be7b, 0x44a978c4, 0x5e443ed0, 0x276a3386, 0x5944c3c3, 0xec2160d1,
+    0x4b22e173, 0xc2f2a3ea, 0xe194a287, 0x222a9857, 0xc0e5c69c, 0x45488e44, 0xd7ca4b71, 0x9aa6a05f,
+    0x2db29a6b, 0xebf66ad5, 0x55237452, 0x6469639d, 0xb1c4679b, 0x9255281b, 0xecdda046, 0xd13a0311,
+    0x228e7b07, 0xbfb0e0fd, 0x4629bdee, 0x1242a6c6, 0x78dfbd84, 0x869466da, 0x29d1d6b4, 0xdf759e53,
+    0xce4c93c8, 0x4d17d5b8, 0xb3799b5e, 0x950b7746, 0x566b1494, 0x599b7031, 0xaea7003e, 0x7f32044a,
+    0x9f34fc60, 0xb20bf7b5, 0x0684709a, 0x3d8c34c7, 0x83fc9553, 0xed1fb6ef, 0x616c972b, 0xec708f76,
+    0xd77683a8, 0x387711a5, 0x8c6e4437, 0x49d6920a, 0xf0a1922e, 0x82e32026, 0xdeab6cef, 0xeedfa7e7,
+    0x8d0f0ea6, 0x0958e24c, 0x36b3a050, 0x0febaa58, 0x95c1f306, 0xb1f8553e, 0x219eabad, 0x6e5437a8,
+    0x130eb4ff, 0xea55dcb5, 0x6432a63a, 0x32b7fb5a, 0xd194205e, 0x9d87bca7, 0xa82191ef, 0xd0703792,
+    0x13d1161e, 0x39b672d3, 0x62a7dd08, 0xa32ea9f3, 0xf9d49fb4, 0x67223bb0, 0xad58bf1e, 0xb42a2ada,
+    0x973939af, 0xcd85ea37, 0xbba7e151, 0x2d9976b0, 0xda252c9c, 0xb02e4e1b, 0x0a202f1e, 0x2e787d84,
+    0xd97e2057, 0x3dcee07f, 0xdbb0cc0f, 0xdba7dba7, 0x06a5486a, 0xee7bb7fe, 0x09ee896d, 0xeb092e82,
+    0x0d32635b, 0xb5611244, 0x7abc2954, 0xf455b178, 0x85dac8d4, 0xe789629d, 0x50147dfe, 0x9a9eda51,
+    0x0ae4afab, 0x545d7ac8, 0x10f359c5, 0x68b8df5f, 0xad7bf4cd, 0x8e3f8d08, 0x270a679d, 0x3cbbaf08,
+    0xd1106d02, 0x1822ae4f, 0x7e7287ed, 0x76535a4b, 0x4b92c8e0, 0xb66b0e14, 0x963815a2, 0x9815d6a7,
+    0xaaf2cfb5, 0x2afe7da9, 0x40c1faf6, 0xbd5ee681, 0xbc381684, 0x43e22472, 0x0beef353, 0x0a6cde75,
+    0x1d2bd5de, 0x798cf4f9, 0x8cd37018, 0x30fe6665, 0x62022579, 0xbe5b4a02, 0x86e3bc95, 0x819ce9d4,
+    0xd4309b47, 0x5a798873, 0x0331950b, 0xc9f6c058, 0x5d1f6c09, 0x4f5f8934, 0xfa070b05, 0x4d7925c4,
+    0x7dc14720, 0x64238151, 0x009f0209, 0xd9a5f46e, 0x801747b7, 0xc40ecd38, 0x062dd36c, 0xef80885f,
+    0xd2bbad6c, 0x8345fcde, 0x5a9fdc01, 0xdf43ce9f, 0xa9051ef6, 0x7554fdb8, 0x6eaf2135, 0x5c9ad212,
+    0xc0aba691, 0x555c589f, 0xaaee0309, 0x6e0f69ac, 0x84d32627, 0x6ae6e3ee, 0x892f111d, 0xdf24e33e,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000005214812099416284\
+                         38084722096232800809229175908778479680162851955034721612739414196782949728256 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371,
+    0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cf0, 0xb3a0cca1, 0xfbd3baa2,
+    0x00000000,
+    0xef6d2d0e, 0xbffa19f5, 0x5c4593b1, 0xdb119ec0, 0x4ac26fb4, 0x1a6173df, 0x4c1c41c0, 0xaa34e9af,
+    0x727cebe5, 0xb63d4156, 0x8ebad5ce, 0x3891fe21, 0xf9f9ff60, 0x847a6e5c, 0xcb9111d1, 0xe3644ae9,
+    0xe5e54443, 0x1e73952d, 0xb9663ed9, 0xa1515ee9, 0x63f76128, 0xc3207086, 0x07ff7c69, 0x9f11bd14,
+    0x69d141b6, 0x4cbbf74c, 0x268c7ef1, 0x1bb92944, 0xb437e1f7, 0x3f38ab99, 0xfcdb6002, 0xb055dda3,
+    0x51de8a30, 0x9939cd1b, 0x0cf2272c, 0x86acc225, 0x3e53cef5, 0xe363f849, 0xd2f00b43, 0xea43eb8a,
+    0xbe6ecca6, 0x5332dab6, 0x41bbd158, 0x1da95658, 0x8b3ab2ff, 0x34be7e7d, 0xdcf12875, 0xc5e8e19b,
+    0xf0cee322, 0xaa4a83cc, 0x3add06bf, 0x1584cfe3, 0x872fa581, 0x34b3c2e1, 0x1dc8fd41, 0x6c0d7a51,
+    0xbb2c7325, 0x76919f01, 0xe5a1acd5, 0x3712f289, 0x6423588c, 0xb460d677, 0xd3a3e548, 0x8ce47f09,
+    0x560315b4, 0x93e6d50f, 0x0280e0ea, 0x8f75b381, 0xef5260e7, 0x0de08d87, 0xf6101133, 0x80ec7206,
+    0x8444991b, 0x5bd0795b, 0x468aaae0, 0x3645784c, 0x4e7621ff, 0xb774b632, 0x3a367b2b, 0x1d398534,
+    0xdc6d4060, 0x3a3825ad, 0xec64d9b7, 0x2bb3a329, 0xac043b3d, 0xbf9571d1, 0x5e64eb9c, 0x86cc9b01,
+    0x765d2136, 0xea88d870, 0x5625eca9, 0xffcea7f1, 0x8742e43c, 0xfe21d8f4, 0x0dd862b0, 0xa6e81051,
+    0xa6a009e4, 0xf7be834f, 0xf2629918, 0x2dc2aeee, 0x81137bd4, 0x41fd4d05, 0xf3f5575c, 0xd4b4fc60,
+    0xba137c58, 0xb58e4287, 0x6cf694a7, 0xa051d8e9, 0x6f5ef40c, 0x25510626, 0x1cc96401, 0xab0db2cb,
+    0xba6de2cc, 0xf8ef3ba9, 0x4a478cb9, 0x1e9620e3, 0x2324aa29, 0x1cb900b0, 0xe8f3bdd4, 0xbb4ab11f,
+    0xc2444daf, 0x9a942b53, 0x58c5be81, 0x23fbf9df, 0x84a7cb44, 0xc5533c40, 0x21bc0f38, 0x69eb658b,
+    0xceb65751, 0x908d7820, 0xb227faa2, 0xd6e76b3b, 0xfb13afe1, 0x49a30023, 0xf055cf99, 0x56adfa3d,
+    0x839fef14, 0x91725581, 0x65eb9c6e, 0x765b6c08, 0xb976ee88, 0x0dfa2eb1, 0x796db0ab, 0x7998f486,
+    0xc0d02a15, 0x757df11e, 0xe8dab9a4, 0x96feab22, 0x96acd2e5, 0xa306457c, 0xf5bbfe82, 0xb3feb42e,
+    0x66b2337b, 0xc4007c60, 0x90de5f41, 0x1fec9062, 0xa7f02845, 0x0e3fd6f7, 0x70b6b071, 0x0d346c4c,
+    0xa10bd5ea, 0x26ed9b9d, 0x808cdac3, 0x01475f95, 0xdf0d7e62, 0x39d3d00a, 0xe0718db8, 0x5dcbf694,
+    0x7397b9b7, 0xc9c6b937, 0x3689fb02, 0x74794c08, 0x9dfa3ac2, 0x9953209e, 0x67a8f455, 0xb7d91882,
+    0xb3ca4640, 0x2b99c07b, 0x194778f2, 0xf562c275, 0x1d18eff7, 0x2599b97c, 0xe5664784, 0x49ba00c0,
+    0xbba18339, 0x29f50728, 0x20b671bf, 0x1a0b7658, 0xb9a971ff, 0x6e1b7816, 0xd92af066, 0x039ef56e,
+    0x21e42bf1, 0xf4cc430c, 0x645393d9, 0x88ba1015, 0xba324d4c, 0xeb849d11, 0x7a3575ec, 0x153ccdc8,
+    0xd26e9e86, 0x425b0b3b, 0xe7fa404a, 0x9d6a16c4, 0x18fdb3fe, 0xdae71b76, 0x0a305950, 0xb87c7991,
+    0x6e369d8b, 0x5ba35484, 0xb1e8625b, 0x739a2af4, 0xf59107ab, 0x57c9345d, 0x27694e8f, 0x81c535c5,
+    0xc0fca8ce, 0xcbf03569, 0xa8152d48, 0x947a9c5d, 0x8e382ef5, 0x43b6c419, 0xc70df5ba, 0xe4437136,
+    0xcbf50c57, 0x3c561a02, 0x5fb26f0f, 0xe22fc690, 0x8c1dd525, 0xcbb3e3cc, 0x7ce7cfaf, 0xb642c516,
+    0x0035b810, 0xa1f8bea4, 0x47cc7ffb, 0x237fff45, 0x148e5a30, 0xda2342f2, 0x4c17fa19, 0xffbd040f,
+    0x796219f2, 0xac3c197a, 0xe8d34af9, 0x5109fe22, 0x561a1db5, 0xba1ce2fa, 0xf132cc19, 0x3f68615a,
+    0x452f090e, 0xaaa9a6cf, 0x0ef85257, 0x5c622fb2, 0x2cfb34d1, 0x38076577, 0x786a5d2b, 0xa86e9a31,
+    0x011b4f63, 0xd4563280, 0xd902f462, 0x47b2eb48, 0x2bb637ee, 0xa151f4c0, 0x4ce752b3, 0x6712d414,
+    0x3f29a931, 0x52a79252, 0x551f54f0, 0x110c2f7d, 0x5800e954, 0xe9ec78f6, 0x0161bae2, 0xa57b0455,
+    0x62acccad, 0x76961adf, 0x72bda60f, 0x9fd58633, 0xd7aea508, 0xc3cbf1d9, 0x831aa282, 0xa879df39,
+    0x9cd47c68, 0xcea46b7e, 0xdc5c94cd, 0xff4aca3b, 0x39a5a6a1, 0x63a4960c, 0x841f8cda, 0xa4978c1a,
+    0xcd410a72, 0xbbd3a599, 0x7826659a, 0xdc89c572, 0x7ecfe48f, 0x7e1094f0, 0x295c8ecd, 0xd3af373b,
+    0x992d8b52, 0x0b80d7ad, 0x42199d56, 0x35f08fdd, 0xe12cdf77, 0xd945a066, 0xf9ed8395, 0x697f3da0,
+    0xc2f40756, 0x1da47cf8, 0xa1f2a40e, 0xc754c53a, 0xa1ff692e, 0x3551fb34, 0xc3234108, 0x01671da8,
+    0xac397003, 0x3fadd178, 0x1a8ac796, 0xc17b1358, 0xbfecfcf1, 0x8d7ee328, 0xe16b1483, 0xfb42c1ac,
+    0x9b79492b, 0x3c78c739, 0x3aac6f48, 0x56f7ba97, 0x5a78811a, 0xddde6ec6, 0xdb308d51, 0x8d80cde5,
+    0x477df1ce, 0x7f83651f, 0xc35d1ee2, 0xb6487beb, 0x7d9e1958, 0x2b2a4864, 0xbf78631c, 0x8039a6a2,
+    0xbd2fa086, 0xb4988aeb, 0xae7d03a4, 0x91c3fa94, 0x5f8389d4, 0xd4734095, 0x2b2fbba9, 0x7cc6353a,
+    0x663a2cc2, 0x21a62e92, 0xd3c43afb, 0x9a6d3e03, 0x419f1691, 0xdd3b293a, 0xbd7979be, 0xd1b6a24a,
+    0x1e099c47, 0x4530930d, 0xf4156b34, 0x78449b77, 0xf7750c0d, 0x957a0ee1, 0x8e2d7c9b, 0x17b29e40,
+    0xb3fccdc3, 0x946287d0, 0x5fe35d47, 0x7f8ab31d, 0x065d2754, 0xf1ca0ac2, 0x50e35e8a, 0xadef2c9e,
+    0x91f514a3, 0x178005d7, 0x1aee566e, 0x7ca3c9a5, 0xfce3ede1, 0xb6071ba6, 0xa52d4b76, 0x5a9804f7,
+    0x859c6f64, 0x2f46fdb3, 0xc5c1dbea, 0xb2a4162f, 0xa253432d, 0x0d6ed367, 0xad9c3f06, 0x8143ce6a,
+    0xf72a323d, 0xae8279bb, 0x25aea7b2, 0x615ac5ce, 0x5aacb950, 0x40b9075d, 0x795d8d63, 0x36f31077,
+    0xb793b478, 0x33ba61ef, 0x4dd83a47, 0x7ebd1a5a, 0x73f04ce8, 0xa5a8d0fb, 0x13e15a22, 0xeb21e0a3,
+    0x74e1dc51, 0xaa4c3db8, 0xbe04e34e, 0x28402d83, 0x5a34e557, 0xe7a6f05c, 0xba8ceb3f, 0xf197788e,
+    0x0ac2c642, 0x544a73ab, 0x5f9a6174, 0x4cbfcc63, 0x1f4cca4a, 0xe5b41a19, 0xcf7b7910, 0x107f6d77,
+    0x9b936d69, 0x1e9b25ba, 0xbc2bb9cf, 0x568ef960, 0xb3692f99, 0x0d3c920e, 0x10b750a3, 0x0ac4fbbb,
+    0x9f3e56be, 0xeefcb4cc, 0x2b116716, 0x4dde96f3, 0x9eb12c58, 0xaafc930e, 0xf8040a9b, 0x05fe71d8,
+    0x377e4696, 0xef248b91, 0x77bdb956, 0x9bd2a7d7, 0xd12b20a5, 0x48c95a88, 0xfafdd0f3, 0x582d4a6a,
+    0x50830c3f, 0x3695d5d7, 0xe46906bf, 0xa8c79b84, 0x9ec63bcb, 0x9596bbbc, 0x76ddbe87, 0x73e71b3e,
+    0x5f77d67d, 0x034e8195, 0xe528cdaf, 0xaa6064f9, 0xfbc9d491, 0xb2417300, 0x952cd3d0, 0x1b656167,
+    0x80a031a8, 0xe056809d, 0x0cb3b7f5, 0xf4bbfee2, 0x99bd1a5c, 0xc7d83128, 0xb32972a1, 0x221e3d6f,
+    0x7935c1ae, 0xc5e3c23b, 0x92ef85b8, 0x1e1f5b52, 0x5d798779, 0xc012f440, 0x14344d1b, 0x358d6288,
+    0xd74b1e38, 0x4e03880c, 0x89b16df4, 0x40489de3, 0xe715e3b0, 0x47544c4e, 0x36c1deb3, 0xf3b66a83,
+    0x1781bd15, 0x1e5679d8, 0xde311e04, 0x725a5b49, 0xa84cc1ce, 0xc2c6cb61, 0x9f9d4218, 0x55ad5fdb,
+    0x1c786f8a, 0x29ad1d11, 0xb9a70e85, 0x3a495220, 0x1169fe8e, 0x0433c635, 0x823da3ea, 0x7897537f,
+    0x3b1fe8d5, 0x833615e7, 0xa03b1b67, 0x11a90333, 0xc267b2b1, 0x99e6a5b1, 0x166ea602, 0x878cfd97,
+    0x42ff5bb9, 0xeab0a9ce, 0x7cac6bf4, 0xee48d308, 0x51471a79, 0xe11ebb81, 0x9402b4fc, 0x9048ffe5,
+    0x0867222c, 0x59be20de, 0x7b35b4ef, 0x5d30b628, 0x78587509, 0x071911ed, 0x3037d709, 0x8877793e,
+    0xbd33fcae, 0xa140031a, 0x8c8cc5e8, 0x94883249, 0x7f189458, 0xcb8a5b1e, 0xc199156f, 0x3168f80d,
+    0xf8a7a2de, 0xe4379663, 0xa2ec41c7, 0xe679fb5b, 0x73750d51, 0x59046998, 0x4506bf61, 0x448c6258,
+    0x4529fc02, 0x57f87225, 0x8a62bc62, 0x39778027, 0x77dfaaca, 0xf7d55f7d, 0xca29a1e9, 0x485bbd86,
+    0x478516d7, 0xd93e837b, 0xf83f7707, 0x0f038ff4, 0x85849117, 0x38ab6930, 0xa5475b06, 0xc12f6039,
+    0xe01228a7, 0x2c6ca08e, 0x041fe8f6, 0xa5ff5ef6, 0xb2a66727, 0x0c8bb448, 0x629bd27e, 0xec09f9a6,
+    0x74c4d4a1, 0x46417eed, 0xd1ad3101, 0xa9479a73, 0xcfc46dbe, 0x6a352d85, 0x6ac0aa64, 0x950fe38f,
+    0x44e894b1, 0x0b6c8a70, 0xe3d31cbd, 0x3ae49eb3, 0xf76b0986, 0x573c5324, 0xae80b140, 0x278e26d2,
+    0x20376696, 0xcf671c40, 0xcd02c6d2, 0x764ac9c3, 0xc2145c80, 0xd357fdd1, 0xbb68990a, 0x8e999018,
+    0x9a419418, 0x8cb041bc, 0xd9a6f71a, 0x569717e5, 0x55e1b6fb, 0x6952e55f, 0xc8fe6d25, 0x5f0114d6,
+    0x2cb77774, 0x379b2b42, 0xc2f91d8f, 0x792074d5, 0x6fb138d2, 0x50331048, 0x8b037be8, 0x1b1748b1,
+    0x33f210f0, 0xadb78802, 0x2882ee35, 0xf179eb14, 0xdf5d218f, 0x98af2728, 0xa5e43fba, 0xae729393,
+    0xac086946, 0x24a8853a, 0x97a928f7, 0x13f08e4f, 0xbf909914, 0x66d51264, 0x10063ae1, 0xb5d14dea,
+    0xe09b1562, 0x0272f9e1, 0x606d948d, 0x77b5b968, 0x40b273af, 0xdfc70115, 0x87466086, 0x9529c320,
+    0x84b1a7c9, 0x08aba7ab, 0xabd56293, 0x1afdf34c, 0x20c2e76d, 0x328e4021, 0x5522cee9, 0x84c913da,
+    0x79a09ce7, 0xeb0eeb85, 0x09c9331b, 0xebefb3b5, 0x5a8b499d, 0xd07f8309, 0x52a15e74, 0x8aab44da,
+    0x439a5b51, 0x353ac795, 0x67b1e0d6, 0x0869a88a, 0xe7d071f3, 0xb6d37d4f, 0x35220341, 0xc0fe355a,
+    0x14f696eb, 0x061f8026, 0xfc0b4dd8, 0x482dfa99, 0x3a89bb7f, 0xedf6df1f, 0x1c8219c6, 0x0ec908b9,
+    0x5e2fe499, 0xb5c19f11, 0x67a3e5a5, 0x8bc41a82, 0xb4c2c153, 0x41ef56b6, 0xb783c5b9, 0xb3c9f981,
+    0xb146b4e2, 0x32cefe6e, 0xe0fa7dfe, 0x30bea327, 0x6b2da702, 0x62bc2f38, 0x707d6493, 0xe868d4d8,
+    0xdd5c88b7, 0x6d9d201b, 0x03e64c41, 0xf75c0dc4, 0x73b021fe, 0x4cc0dded, 0x9917c4c8, 0x80f3ad20,
+    0xd5259945, 0x6df6e88c, 0x5ffbd5d2, 0x4d52e4c9, 0xf6cb98be, 0x569e6aa6, 0xd48b6600, 0x85ca663d,
+    0x7f009580, 0x12d538e8, 0xa951e7ff, 0x032fa038, 0x46bf33bd, 0x467e7ba3, 0x0fcf4b88, 0x97ea7df3,
+    0xb91393c6, 0xdf8214ef, 0xcee8e639, 0xd6b96af2, 0x1b5f9de5, 0x4a17e460, 0xf9e060ee, 0xef2519d1,
+    0xa2358c97, 0xd482fe75, 0x0982477e, 0x2ba868b6, 0xdd7a94e1, 0xbab94a4c, 0xe2e907d0, 0x54b65d4c,
+    0x6c471822, 0xa35627d2, 0x87b288c6, 0xcd3f792f, 0xb471967c, 0xc7bff5fe, 0x2d444b7c, 0x451cb66d,
+    0x095b88de, 0xdfacaeb9, 0xaee1187b, 0xe1949d66, 0x294d61d1, 0xf98554c3, 0xc31d1cd1, 0xb5c0640c,
+    0x2818e4b2, 0x9de3c3ec, 0x464f76d4, 0x01d71228, 0x559a25ee, 0xebb708d3, 0x75ea27a2, 0x0e74d14e,
+    0xcb30b1f2, 0x3e866c39, 0x2ff17754, 0x24d52f1e, 0x93f4d3fa, 0x3e19fb22, 0x3b7274be, 0xcfb7537e,
+    0x144047cf, 0x36c6562a, 0xd6eb9bf8, 0x9c90f3f7, 0x814d7e59, 0xf5fd5562, 0xd4632a18, 0x70735c4d,
+    0x24c7948c, 0x8ed482c9, 0x3fc31791, 0xecb6a376, 0x8d8ce324, 0xf28a8ba5, 0x2136e49d, 0x06e26d6d,
+    0x8ecea7fa, 0x06601f9f, 0x525b68ac, 0xa9d838f5, 0x520bae38, 0xfa098c24, 0x4eabd1c8, 0xb7c098a8,
+    0x9a33e93a, 0xd5f1cfe0, 0xe0b3bb4c, 0x355bfa1c, 0x055925c9, 0xfa23fa2e, 0xe66fe407, 0xb383d3ca,
+    0x46613039, 0x39f48ff8, 0xc41ebd92, 0x2bab637a, 0xdd10cdaa, 0x7cfef400, 0xff9de1bf, 0x9530233a,
+    0x244251ee, 0x86d5b10b, 0x25d849a7, 0x131d5cb3, 0x23b710ff, 0x5eafa478, 0x6e507429, 0x4e00e615,
+    0x41e2383d, 0xaa43d1e8, 0xab283deb, 0xad47754e, 0xbb4e902b, 0xd3d35832, 0x00f2b0e3, 0x46b6a212,
+    0x949f7b62, 0x3d6315bc, 0xc4132a69, 0xd44b807d, 0x0b430ec5, 0x89d1f28d, 0x5a5be4a2, 0xe05d6c4a,
+    0xbffefbf9, 0x7ea6ec84, 0x71460b8b, 0xa4b48ab5, 0xe123841f, 0x4ccfbdd2, 0x58b7514a, 0xc141f50d,
+    0x32fef245, 0x0dc61662, 0x19ee6792, 0x8d8cb455, 0xf63e2643, 0x8b41d869, 0xb0731425, 0xbdde9130,
+    0x3f6ff6a9, 0x80998870, 0xd144ae84, 0x6062df27, 0xd15f5946, 0x4aec42c3, 0xab61e78a, 0xe22d0a2f,
+    0x0edc0fad, 0x9f133eec, 0x0bc11e59, 0xd46588f8, 0x5ff72f86, 0x77097ef0, 0x163eb4cd, 0xca4e33ea,
+    0x95bd9c20, 0x2e0236cd, 0xf164df6d, 0x787e4bd1, 0x717a1101, 0x1a455620, 0x08c675ec, 0x953a5d50,
+    0xacb47988, 0xefbb68ba, 0xa0461e84, 0x6c9abeac, 0xfd531624, 0x8d36e34f, 0x42fc5ed7, 0x9cf24db7,
+    0xae3f70dc, 0xd2893246, 0x1426cee9, 0x385720ed, 0x1f8814fe, 0xf0f7eb52, 0x9d00877c, 0x57ec2905,
+    0xdcceb399, 0xc5963d2d, 0xc9dc9e37, 0x74edeadf, 0x1bf828d4, 0xad923a83, 0x6536d98a, 0x467a785d,
+    0xf242e178, 0x9ca38a60, 0x53fa33ab, 0xb844b00a, 0xe0a9af5e, 0x5b1fc3fe, 0x7f4efd9b, 0xf3e18a2d,
+    0x852a0f8e, 0x0cb2fb01, 0xef6dfa7d, 0x2af5bbbf, 0x78ce6fc1, 0x8fd7249a, 0x63398976, 0xd1ddfb22,
+    0x6e30281d, 0x0146bfe3, 0xe12383a0, 0x9fe214b7, 0x73c4961b, 0xc222fb0d, 0xf6b25102, 0x2b3c353e,
+    0xf8aba55e, 0x1ed80deb, 0xe482c015, 0x3feff28a, 0x585a9aa4, 0xdfef0d57, 0x29f44204, 0xac89808c,
+    0xd6762797, 0x7ea4d81b, 0x6cc9c2e9, 0x8a7c8172, 0x9fc88979, 0x18b89388, 0x7aa3a0a7, 0xbd6f40b3,
+    0xcb991d61, 0x6c7712a3, 0xda858197, 0xe5e48f7f, 0x3737445f, 0xa8d2f525, 0x8fb5bd4f, 0x49be4279,
+    0x249ecf4b, 0x6712ffc9, 0x59b6f161, 0x41c29d1b, 0x34e2a258, 0xdaf130d8, 0x7b854b4f, 0x9d17d5f5,
+    0x5c8eea32, 0xf105cd75, 0xd0a24bd3, 0x73c5401a, 0xc50a3a9e, 0xdaee04d9, 0x9fad6cf9, 0x953f9d8e,
+    0x998d8570, 0x488080bd, 0x46b75a42, 0x3d58be5d, 0x0337c315, 0xb37f0085, 0x8e3a5dce, 0x6bfdca14,
+    0x6300633f, 0x73d0c459, 0xc868bbe3, 0xdf19bc7c, 0x19c0f1d5, 0xe2dd8c8b, 0x342501fe, 0xc154daa5,
+    0x4ebe1987, 0xf56f1281, 0xd5b49f7b, 0x79de3c6c, 0x83a5bdec, 0x648d9a71, 0x19a1391f, 0xc42d3220,
+    0xf4fe9c41, 0x0f966b2d, 0xfe954bcf, 0x9197516d, 0x5f0949c5, 0x8f50e26d, 0x347ee15d, 0xe359cec4,
+    0x9caf20aa, 0xafbc6734, 0x107f6dde, 0x01170645, 0xce93bae5, 0x4fdba256, 0x20c8bcaa, 0x4ef0d168,
+    0xc84e8d37, 0xdbd354c1, 0x9899767b, 0x605a311c, 0x49327860, 0xe5684b56, 0x4b2ec482, 0x14d7e0b9,
+    0x67ff7db3, 0xa1e7fa87, 0x2c8a74ac, 0x9a277e8a, 0x717feab8, 0x8e3c6ecb, 0xd55a89bc, 0x58eeb29a,
+    0x6691b8ce, 0xcb0b1de4, 0x1526f0a4, 0x152418cc, 0xeecf2794, 0xa434bdfd, 0x2ee5663f, 0x14115d0c,
+    0xcdc5b8ad, 0x27fc3809, 0x69835f8d, 0x2413f2b4, 0x83cf208c, 0x4c9706dc, 0x26fec257, 0xa4c580bf,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000002607406049708142\
+                         19042361048116400404614587954389239840081425977517360806369707098391474864128 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8,
+    0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e78, 0x59d06650, 0xfde9dd50,
+    0x00000000,
+    0xf793181e, 0x144b370e, 0x216aa759, 0x4d1bde9d, 0x72b67956, 0x1cf21fe9, 0xb0ab847f, 0xc6f5f995,
+    0xbec40945, 0xf88d98ae, 0xec7d7c2d, 0x828a2366, 0xe066245a, 0x7fd0e4a8, 0xd297647a, 0xf1f2c46a,
+    0x55b3291e, 0xef70fff2, 0x89988a26, 0x937aa5a8, 0x6311e2c8, 0xc8f4fd23, 0x998278e7, 0x3566f193,
+    0x7381219a, 0x5301bda1, 0x4c2e263c, 0x38374633, 0x173c631c, 0x31d4b29d, 0xa4d6e835, 0x8b16961f,
+    0x57e4686e, 0xd9ce3239, 0xedd2f9fa, 0x96ff0f54, 0xb54a0802, 0x3f04267f, 0xfad16057, 0x1bbc08b0,
+    0x17ebbb56, 0x087c2efa, 0x7e254d9f, 0x383faec2, 0xf8f6700f, 0xf43b8da8, 0x80e6088d, 0x4851aaa5,
+    0xfc0a9815, 0x644cff95, 0x70c377a9, 0x330b5d25, 0xe10d0b17, 0x49090709, 0x7b0f358c, 0xe1a3a2ec,
+    0x8171402e, 0xd8259a85, 0xeac0d8bb, 0xcfd8ac1f, 0x963fb1ec, 0xcbe40653, 0x9eb12e88, 0x4fa532ab,
+    0xd7f32b96, 0xc213c4d7, 0x4d4be1c4, 0xb737236d, 0xf514db54, 0x507428f5, 0xb4d506a1, 0xbe67adb5,
+    0x97ac753f, 0x8dbc99ea, 0xd59e1e49, 0xaff6adb4, 0x0ee32e3f, 0x9b3c1e1c, 0x16c70563, 0x17b937d1,
+    0x553ce321, 0x0ce2a197, 0x77236600, 0x43c270d3, 0x34c31149, 0x1734315b, 0x38855757, 0x9762e5e0,
+    0x8a2ca537, 0x16700177, 0x16e20731, 0x0b87a88a, 0x5e4a3498, 0x76cc6bed, 0xeaa5c37f, 0x5782f0d3,
+    0xca51dc82, 0xc1be2c9b, 0x6695d604, 0x772fbe5a, 0x0f1c402a, 0xa371e468, 0xc022b694, 0xe5528252,
+    0x8e1d26fe, 0x69d7a148, 0x89b8d40a, 0xd5b65bc0, 0xd20844ff, 0xe7cc416a, 0x23c826cd, 0x2f017ac8,
+    0x326565ed, 0xb7364666, 0x64abbbbc, 0x0438e556, 0xcbc90153, 0x149bff3e, 0x515c41c3, 0x8c1d0135,
+    0x88415722, 0x1b17642f, 0xbfdc1543, 0x1c8eee9a, 0xf6cd14d3, 0xbe0cd4c2, 0x59add764, 0xc4d27d89,
+    0x70cf49c7, 0xbaa8b726, 0xd53573f4, 0x518bde99, 0x114178cf, 0xbeb8dc03, 0x7895ecb3, 0x9978d4b9,
+    0xff44b1c5, 0x5d33db8b, 0x905e7513, 0x1c1ac51b, 0xf764ccfe, 0xae7fae60, 0x83519e7b, 0x14729c77,
+    0xf9788bda, 0x49d03695, 0xd7d07e5b, 0x44873e4b, 0x48faf38d, 0x0390a4dc, 0xba1ce066, 0x7091791b,
+    0x559fbf75, 0x9fae1222, 0xf0cce64d, 0xaf873a61, 0xf9f90863, 0xb6fd228e, 0x32c9e29d, 0x64bc8a1a,
+    0xe710ec92, 0xce80bd30, 0xf550886a, 0xe44bc9c3, 0x3b1d11c0, 0xbf1621c2, 0x667f0fd7, 0x780616c8,
+    0x6b30135a, 0x31b59249, 0x6f9fe624, 0xad11cbf0, 0x789f6a8f, 0xc58cdad4, 0xb2a8b625, 0x637d7a7a,
+    0x152fc0a5, 0xd5179383, 0xb628369c, 0x3a518789, 0x1c665763, 0x4cef807a, 0xffd333c5, 0x46ade1c6,
+    0xea3b0dbf, 0xb81f38ad, 0x2e7c1f2d, 0xf35a5c2d, 0xdb903c8d, 0x60d1b39a, 0x9928a4e8, 0x9ba455ad,
+    0x6d58179d, 0xbf7a74f5, 0x26716aa0, 0xd0e0e6fe, 0xb59f1d85, 0xc12a3ecf, 0x6f95470c, 0xb28e9f90,
+    0xa1d97e98, 0x5312d175, 0xcbb57eb8, 0x4f76e12b, 0xb933b1f6, 0x3830e164, 0x944c8eb8, 0xc8c17af6,
+    0xedf6d0e3, 0xaec7d69f, 0xfb637326, 0xaa528362, 0x22e74249, 0x31e72f94, 0x4bd8f37e, 0x18912f70,
+    0x3dfd3728, 0xeacd835b, 0xc2d55c3a, 0x6a1e267f, 0xd628f2f7, 0xcd558d27, 0xdfaf8a2a, 0xbe25e0ec,
+    0x3eb5ba41, 0xfd4285bb, 0x6d02130d, 0x375dd9b0, 0xab7921f2, 0x9f2b3c5d, 0x60cff4b0, 0x441fcb3f,
+    0xc2af1281, 0x08ee8081, 0xc60a8a22, 0x2e0fd441, 0x46c55a01, 0x78655a9a, 0xda9a9de1, 0x967538c4,
+    0x62b67096, 0x28084cc5, 0x27dcea0b, 0xd9b7c861, 0xda0282c6, 0xca8d7766, 0xd2919a1b, 0x85c04a53,
+    0x285dcb36, 0x0693f6d1, 0x690581dc, 0x50ac4171, 0x139e30f1, 0x08b7f172, 0x29f7cd84, 0xe6189418,
+    0xd3d13c86, 0xc0c73aa9, 0xa0c4cb96, 0xbdb0f3f0, 0x7101ac19, 0x487b47e5, 0xf6ba5f54, 0xb2ad2139,
+    0x74160871, 0x38ae954c, 0xb1b3b446, 0xaadf7b5f, 0x713a0ccf, 0x07a9a487, 0xc9cd743e, 0x788f8198,
+    0xadccae3d, 0x982bdc31, 0x36b6128b, 0x9e562e13, 0x41785ae9, 0x372e5f0a, 0x1f12d738, 0x5d077d06,
+    0xd41ea9bc, 0xea726c6e, 0x9395ee63, 0x142c8956, 0xbef9bcae, 0xdb573d4a, 0xddf82018, 0x27cbacc4,
+    0xed311362, 0x9cf0e1b0, 0xfc40790e, 0xd7599fc0, 0x2a7ef25c, 0x83f04d1a, 0x8e445eac, 0xdab919e7,
+    0x191c8944, 0xe71edf27, 0x0a21a78f, 0xd086eea9, 0x444ebee2, 0xddb70265, 0x9390d45c, 0x4be10f6e,
+    0x6de683ba, 0xb21af641, 0xab641f0f, 0xdfa72c09, 0x2cc9461f, 0x3c3f47c4, 0x50aea035, 0xdadec981,
+    0x469de59c, 0xa0b7eea9, 0xf7e30a23, 0x9c8cb6b3, 0x74360458, 0x9b93ddbd, 0x86571cf6, 0x904da690,
+    0xfde5e343, 0x4db5e0e7, 0xb9518c59, 0xb8d8a70b, 0xb9e822af, 0xb13f088b, 0x53468bf5, 0x0fce76cd,
+    0x8d740227, 0x4fd5c4b5, 0x3e228adf, 0x8aa64c8b, 0x3a350aae, 0xefbea978, 0xfce736aa, 0xc1cf89c8,
+    0x1f76f436, 0x3af259d3, 0x29eb5017, 0xd45cce44, 0x655df692, 0x09721f2e, 0x83d5fa95, 0xcbf8d519,
+    0xbc991458, 0x479852cb, 0xd574f4e3, 0xc770fb2a, 0x09973a66, 0x48b2dc78, 0xe34808c3, 0x43ec87c2,
+    0x58ecf2ea, 0x98140650, 0x466776ee, 0x19a9560d, 0xf308e676, 0x367b4fb8, 0x336f305d, 0x6cd457d1,
+    0xe29eeff1, 0x3e49d918, 0x0b9538a5, 0xa40e87dd, 0x6e443e97, 0xf270489c, 0x490bcf53, 0x3dbf04b2,
+    0xfeeaa419, 0x6d1b9c52, 0xc8c9467d, 0xdcb975e1, 0xbc4fc439, 0xeefa8494, 0xeadf6d2b, 0xd97637b1,
+    0xfbbd6cc0, 0xab7c7dc7, 0x8c1f0277, 0xfafb9c21, 0xcd38891e, 0x69ee1244, 0x2074c417, 0xd2e8a8ae,
+    0x70a20591, 0xf599d74c, 0x758f6205, 0x0903248f, 0x3cdee4fc, 0x3f7a0c22, 0xec7591e8, 0xea5505ca,
+    0x4fcca800, 0xbdd1fe19, 0x57826b2f, 0xbdfc740e, 0x7ef3048c, 0x0e146333, 0xb1155aae, 0x977a7e22,
+    0xcfe5f450, 0x97017bba, 0xab99277e, 0x05e846cb, 0x4cbfa170, 0xca0cc0d0, 0xa13f0225, 0xb282790f,
+    0xba1b26f0, 0x6a1a956f, 0x8197b8ea, 0x10fc478e, 0x9e3afe29, 0xb657043c, 0xd9ea217e, 0x78588f85,
+    0xc02b8428, 0xa6817ea8, 0x4622a58f, 0xd0314976, 0x38a9852a, 0x7ea94551, 0x94afe231, 0x5ae579b0,
+    0xf25354f3, 0x145ed276, 0x13fdb267, 0x55868e17, 0x4096d25b, 0x526dc623, 0xa05a04d0, 0xacdd1fc5,
+    0x6e5efed5, 0xe2368642, 0xb774adc7, 0x286f171a, 0x5984c44f, 0x38c1660b, 0x50f451f3, 0x4549cd52,
+    0x0fb906ad, 0x302071c3, 0xee8913e6, 0x498b1a44, 0xb4916dec, 0x3ef318cf, 0x907d5b07, 0x94c0fbba,
+    0x98c42ebc, 0xd897146b, 0x2045a8f8, 0x667991db, 0x95f536de, 0x3c2afb74, 0x6cb82026, 0xbe08244f,
+    0x4beeb157, 0x2cb08df8, 0x7843d3a9, 0x98ba292d, 0x4244447c, 0xaf89e0e5, 0xfb146ef3, 0x268ca0c3,
+    0x419c5efd, 0x93d28630, 0x3646434e, 0xc8c4eabb, 0x1e87eb14, 0x6314a766, 0xb15b5d08, 0x838e10be,
+    0xd967fc7d, 0xc0a8a2b6, 0x4c55781b, 0x0795ea2e, 0x43c46ce3, 0x66bfb5ab, 0xe812fc45, 0xe668654b,
+    0x3e3080bc, 0xf2d26665, 0x2d45d6b4, 0xc3223a6b, 0x8a917345, 0x85a328ee, 0xeea633a0, 0x0fffdd21,
+    0x90ea5ecb, 0xb46e83e8, 0x8945e92c, 0x00a65aa6, 0x99a1fd09, 0x47d7465c, 0xa29c6a2b, 0xfe538970,
+    0x57c5dc30, 0x033da3d2, 0xd0abc1d2, 0x5009db31, 0x51f00a68, 0xbd034849, 0xee68db05, 0x54d6703d,
+    0xb2c19d2f, 0x8cdc0179, 0xaba906ee, 0x2b28b5a9, 0xb42662fa, 0x4bc3fe55, 0x3d7d6c78, 0x4fbcf479,
+    0xc71f6207, 0xe7661422, 0xa6bc60a5, 0x425704f3, 0xa716a66a, 0xb3f62363, 0x805bae99, 0xe45ed880,
+    0x7d220bb6, 0xc8f82b27, 0xea28ee56, 0x0ed8637f, 0x3d683315, 0xa1009a7c, 0xbf71a009, 0xde8d4771,
+    0x45a3585c, 0x571cba94, 0x99782684, 0x49528a36, 0x1308cf79, 0x29d8d96a, 0x8a5c87ae, 0x6a6b81fb,
+    0xc8375785, 0x23a2bfcc, 0x07946d74, 0xfe1c6a24, 0x00773a34, 0x887d6b1b, 0x50cdc74f, 0xac18801f,
+    0x51a5c286, 0x0a8080f1, 0xacc26335, 0xfd3f8c00, 0x9bea6cdd, 0x85407fd1, 0x4391ea8e, 0x09ee85b2,
+    0xc523f90a, 0x9a9e2b97, 0x09875c79, 0xd9eacbeb, 0x5c367244, 0x4b37379f, 0x5ad0515e, 0x1322b52d,
+    0xf34312da, 0x09df22a7, 0x82dcfc9e, 0x3edced67, 0x4f44af86, 0xb2fa9632, 0x47e814ec, 0x1a111dc1,
+    0x1daae56c, 0x7b3c430e, 0x8526df7d, 0x42da21f1, 0xe38a8846, 0x05fde34c, 0x1547f22a, 0xeecc7398,
+    0x484d95ce, 0xbe3b43c4, 0x42014970, 0x22bd7014, 0x8151ef59, 0xd464bcc1, 0x6d9ab198, 0x179e6b0e,
+    0x5bc3562e, 0xe45cb958, 0xf3b1034d, 0x56e80daf, 0xec73a3c4, 0x5df6d119, 0x100d9364, 0x60357b9f,
+    0x218ac738, 0xc4650edf, 0x4a1d7e44, 0x2dc62d9e, 0xabab4d9d, 0xab64f8f1, 0x23bf6a91, 0xb3323970,
+    0x08b6eb70, 0xd6101b96, 0x428b70e8, 0xf698a33f, 0xf276e5b6, 0xd0683fbd, 0x69c31ce0, 0x352c9b99,
+    0x6f2b76aa, 0x07df9149, 0x46e106cc, 0xa5159ac7, 0x3b79a50c, 0xa677ae8a, 0xcdf613c3, 0x4bb5bbd3,
+    0xffb524c0, 0xefddc873, 0x4729a23d, 0x224b23d9, 0x60ac88c4, 0x084e9d3b, 0x54c03940, 0xcbd3639d,
+    0xc9aedb3b, 0x0c7499ab, 0x2ae87f5b, 0xce4b2d92, 0x4c9539e7, 0x28b9478b, 0xc4e5e22c, 0x896f7dd3,
+    0x6857dc2f, 0x5a31793a, 0xadc7f7d1, 0xdb19e1f4, 0x988d85da, 0x7fc5c0db, 0x14ea8934, 0x736c910b,
+    0x916767b4, 0xc01a12c1, 0xe8f52975, 0xbffa0b06, 0xed2c60f5, 0xc39d442b, 0xa0cb22e2, 0x593a4379,
+    0x209f9f81, 0x23e5d263, 0x9f817f8a, 0x6e48e7f9, 0xf8982878, 0x7170854d, 0x10bc28da, 0xbd1deeb8,
+    0x9873657f, 0x460dbe8e, 0xf15eb637, 0x85c0df85, 0x0c60a508, 0x1bfa5baf, 0xb768fe91, 0x4ccdcdf8,
+    0x26c4f36d, 0xb1c4ea0d, 0xb7573702, 0xb4393620, 0x6a9a49c9, 0x318b3e9c, 0xba7c01b8, 0x2828f153,
+    0x1d6c2967, 0xd2d24c9f, 0x838ddbc7, 0x6969f3a4, 0xa4e043b6, 0xcf444095, 0xc3fe6e3f, 0xcf00c6ee,
+    0xbafac709, 0x4a16ee12, 0xd19488c5, 0x946136dd, 0x5efdcd43, 0x12ca703c, 0x89953f54, 0xdd4ac539,
+    0x34ac2be8, 0x3ba3b3dd, 0x8edcf091, 0x73bd89e3, 0x92e1c642, 0xff63e2a4, 0xd667aa1d, 0x468b59d9,
+    0x6ddcd3ee, 0xb1a8ce1c, 0x0a71379f, 0x1c6b22ac, 0x27d886d4, 0x27dca281, 0x8e2a7242, 0x15587034,
+    0x3568de1c, 0x4692848d, 0xc508a6f0, 0x32f0317b, 0xe19104b1, 0x250542bc, 0xb0bcb6a5, 0x59049137,
+    0xcfa77a9e, 0x9260782b, 0xcb122f97, 0xc135811d, 0x5f8fefb4, 0x4e3bac63, 0xa808f11e, 0xc6aab6d7,
+    0x0dfdc26e, 0x97d5178b, 0x590a2141, 0x6a8c869d, 0x959c4046, 0xd99f176d, 0xb2fc6bfa, 0x4ccc2a74,
+    0xd5375aab, 0xc715a5d0, 0x29cf0893, 0xa43e726f, 0xb79b2799, 0xd7f916b1, 0x76e146cc, 0xb5be442a,
+    0x7d417c74, 0xd1d140e8, 0x456b9635, 0xcf3c6db0, 0x1cf8952b, 0xfb5f87df, 0x4ff9d735, 0xd76a443a,
+    0x38490439, 0x1c877ae9, 0x25e3251a, 0x49d5bb5f, 0xd0df5fc6, 0xf1b794dc, 0xa1eadfb1, 0xf2a84f2d,
+    0xad1b3748, 0xb2fae3ae, 0xded53383, 0xe55c20e7, 0xf8a1f7a0, 0x0227effb, 0xa7ffcc21, 0x245817a1,
+    0xd0064957, 0x010360b4, 0x3410c27a, 0x4d678cb7, 0x917c7b7f, 0xdad1dce0, 0xb834c9d9, 0x70d749ff,
+    0x8fbac7a1, 0xf87d691a, 0xf30f5cbf, 0x542accf3, 0xaf41f6d7, 0x0ad556a3, 0x00236a97, 0xa39cc212,
+    0x180d684e, 0x1e135aa1, 0x35f64c50, 0xb808e0f4, 0x80b102b1, 0x4b355c25, 0x66ed218d, 0x4339f006,
+    0xc2fcd887, 0xafdbe35f, 0x7220dcd3, 0xbb183f72, 0x747c2256, 0x6c82564f, 0x5a48b356, 0x72ba52e3,
+    0xca46a0eb, 0x225a471b, 0x0e826b5e, 0xa2523b4b, 0xd9d99a7c, 0x57eda788, 0x0785d546, 0x2845af46,
+    0xf1e215ce, 0xdecd642c, 0xe13d1afa, 0xa8de8cb0, 0x67a601fc, 0x10050bfb, 0xf9980f50, 0xfe324ee9,
+    0x9f1f09ac, 0x8ff8d242, 0x8c99930f, 0x2046fe75, 0xa2e1859c, 0xca62e2ac, 0x2a98c2ce, 0x55c9c844,
+    0xcc683343, 0xfc919991, 0x6b4d6f2a, 0xd3681ad6, 0xd475897d, 0x34b41b9b, 0x42c53698, 0xe91a7803,
+    0xfb9e69e2, 0xcee8dd07, 0x93d522e7, 0xbacef37d, 0x5a6ddf88, 0x6f9371c8, 0xc8739597, 0x1f1ed7a0,
+    0x8942c513, 0x44e69281, 0x21a76937, 0x73546c56, 0xc4a1496a, 0xfeea02df, 0x732e1262, 0x8b001841,
+    0xb97dfe64, 0x38ae2fac, 0x07cb2964, 0x2ac5720b, 0x2bc18ab2, 0xc8dc6c65, 0x0e7e65c8, 0xaf0a12ed,
+    0x9611ecb2, 0x08d43cf3, 0xa99895fc, 0xbc2d7122, 0xa309e29c, 0x0a3b36ef, 0x68f54163, 0x9c566254,
+    0x1112b978, 0xbb15bac9, 0x122bff7b, 0x3f60689b, 0x651d89a6, 0xe63f64e9, 0x9175588a, 0xcd8cdf4a,
+    0x411a5cb1, 0xb7942b1f, 0x5ec3d1a2, 0x43b40f43, 0xc08894e3, 0xf133f332, 0x5842010a, 0x6e45ac78,
+    0x233ec9fb, 0x45e5c904, 0xff41c897, 0xac339ea1, 0x0c1c316d, 0x96da067c, 0x6038d5cc, 0x17a9cd75,
+    0x6acdc4e6, 0xbc21b9b7, 0x0c862243, 0x8286ff32, 0x6711d18c, 0x0458cf7d, 0xaa148cee, 0x19001959,
+    0xa5e72031, 0x65088ca9, 0xfa27e04c, 0xcc7fbd1d, 0x78f4d609, 0xfb49be1f, 0x09bf5dc6, 0x2a73c9b0,
+    0xc06370ac, 0x30135e3c, 0x6387749d, 0x19397bb1, 0xf0a13ca0, 0x9e39e88c, 0x9f242312, 0xe690eb28,
+    0x3f6b8f25, 0x9083a51f, 0xb787bccd, 0x5caca194, 0xfbbd6107, 0xa4cca9bc, 0x8d5a4566, 0x544a2b5e,
+    0xd7320d59, 0x0d1d2979, 0xe67e9bde, 0x88616ea5, 0x38ae8009, 0x4c135de7, 0xaac0cc68, 0x5b7ccc41,
+    0x720596b6, 0x7322d30a, 0x755a7260, 0x33e89981, 0xed62cc1d, 0xd880cf97, 0x03a5c45c, 0x76fb7930,
+    0xcbab27bf, 0x53b38d07, 0x35fc02e9, 0x12bf2e8f, 0x25475439, 0x1cfe5c90, 0xd2765432, 0x5f9a3f7b,
+    0x92502909, 0xfe12b2fe, 0xcfbdabbf, 0x85e1ddb5, 0x37a67ea0, 0xf715e642, 0x1bb4350c, 0xffb2ba51,
+    0xefd9dcc5, 0x7d46a832, 0xb0a23d09, 0xa91a9aad, 0xe1b4e0e6, 0xd2c70c68, 0xfdd697bd, 0x12378256,
+    0xb8df263f, 0x88a4a078, 0x1b09bdf2, 0x2b4d960e, 0xabf4d1d3, 0x2b2ac4f9, 0x23f88a96, 0xdfffa6ad,
+    0xe7924a6d, 0x9eaacd96, 0xebf38155, 0x3c42166d, 0x2628ae8d, 0x79650c92, 0xf62050f6, 0x5cd7b924,
+    0x1a63025f, 0x34569d1c, 0x292f35ec, 0x7d1c0aaf, 0x876dd5d3, 0x38e1e773, 0x4b2b5c97, 0x89c1a941,
+    0xaae22c56, 0x4dffddd0, 0xc7bb100f, 0x3173bd2a, 0xc7462b65, 0x7f610310, 0x498e3a6d, 0xf9692c47,
+    0x64e0bb1c, 0x932cadfd, 0x319c2b08, 0xf58bc6a1, 0x8bb2313a, 0xabb9835b, 0xda6a2fcf, 0xab38eb35,
+    0x9a201677, 0x6a4dfef5, 0xc894be30, 0xb4662b02, 0xbde6f479, 0xb20a361a, 0xb7efdd5a, 0x47584215,
+    0xc18f09df, 0xe5cb3e4b, 0x59b577c0, 0x8d50d896, 0xdc1fa098, 0xacbd3b64, 0x1d6ee320, 0x85cdcc56,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000001303703024854071\
+                         09521180524058200202307293977194619920040712988758680403184853549195737432064 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc,
+    0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173c, 0x2ce83328, 0x7ef4eea7,
+    0x00000000,
+    0xfbc08649, 0x9fd44d91, 0x5452ced1, 0xb26bd9d7, 0x7be9c699, 0x490b0003, 0x784881ac, 0xfaa19d70,
+    0x1835aa46, 0xf7874e8b, 0xb7677607, 0x9ad675d8, 0x3d000085, 0xba657476, 0xdf52373c, 0x63b04e16,
+    0x5f8b2360, 0x3c589502, 0xdac26917, 0xfc380e84, 0xf1b72b85, 0x1a90f172, 0xd7c281d5, 0x8442345b,
+    0x6826f77c, 0x438eb6a8, 0x1e8e880d, 0xeff2e8f0, 0xd4de7a33, 0x2090e9c6, 0x338bd1a1, 0x59bf3607,
+    0xe1782f52, 0x09b29a77, 0x379e179f, 0xf54d45ab, 0x9fe5c43b, 0xf17056a6, 0x79bed18d, 0xffc0704b,
+    0xa578dd99, 0x396a2446, 0x704ece90, 0xd464b898, 0x70487ee3, 0x907dcdfe, 0xdeb8dabb, 0x8b9c3b57,
+    0xfdef695e, 0x95fd919c, 0xd8c8da0d, 0xbb526cfb, 0x2794636a, 0xdad6a092, 0xa583d969, 0xd1f6a953,
+    0x216198f6, 0x21f4063f, 0xcac2d6d6, 0x30c579aa, 0xb6a1af45, 0x904e6406, 0x4bf67d5b, 0x90ebd7f3,
+    0xc9875bff, 0xcbd70118, 0x041451c0, 0x181b01c9, 0x46396a08, 0x21a40adb, 0xe5c8fd31, 0xcadc838b,
+    0x2fd7d74b, 0x5fe492c7, 0x26243e37, 0xe92e07df, 0xa003a111, 0xfed2b043, 0x3b42e762, 0x26e63b36,
+    0x5e40c1b3, 0x2842e3ef, 0x5e4a471c, 0x986f1aeb, 0x2b18379b, 0xef1374f0, 0xf82465c5, 0x859b0a51,
+    0xeede36f1, 0x4c79350a, 0x404970ae, 0x404476c7, 0x4d95688e, 0x03f86b3b, 0xe93977a0, 0x4feca11d,
+    0x4d288db3, 0x243473d7, 0x3afc5080, 0xcea88d38, 0x3bf75c3c, 0xb204a546, 0x752eb18f, 0xf87452f9,
+    0xf888d4fa, 0x207dcecd, 0x79ad0ce3, 0x046b88aa, 0x15558db7, 0x54f9b947, 0x1b4dfda2, 0xc563ebcc,
+    0x92b5ea2f, 0xcfa3cb35, 0x9ada6bc8, 0x9f3fecce, 0x6f8e8ca5, 0xdcd4b0f2, 0x2b62cc66, 0xe48c9927,
+    0xd4173bf0, 0x47bd19f7, 0x400f542b, 0x6b6034c1, 0x0b07fcae, 0xde7bc51b, 0x1b0442e7, 0xa56a0448,
+    0x69862c68, 0x86aa01bc, 0x555bd784, 0xbcd282d0, 0x4424b5ca, 0xe84b13ac, 0x11d90a52, 0x13becca3,
+    0x7b766c20, 0x378938eb, 0x7b2c9f6f, 0xc0d1bec5, 0xda9b52e6, 0xf17842ed, 0xc6611f66, 0x800476d6,
+    0x1a876acc, 0xd0e9056c, 0xde81cbce, 0x6b08a9d6, 0x03ac2e53, 0xa7cf9f84, 0xeadc30bb, 0x0bf3b380,
+    0x1a8470fd, 0x692b3f47, 0x6c8b6581, 0x753b8d3e, 0xb4642e8f, 0x1aba21cd, 0x492e73db, 0x0d1677cf,
+    0x9e33c786, 0x74102a7b, 0x5275b8d2, 0xdd4804ed, 0xadcaf15f, 0xf0c25f43, 0xc3cc5f1d, 0xa6423fdb,
+    0x001e02a0, 0x220f4c7d, 0x78b99e77, 0xdfcd2592, 0xa448868d, 0xc5038159, 0x2af260ec, 0xa80d5245,
+    0xd2e1ba8b, 0x70ad408b, 0xc464518f, 0x649b26c5, 0x65152a35, 0xb1f12ec2, 0x0f7ebaf5, 0xaf71a49f,
+    0xc5f430d5, 0x7c11e331, 0xe3b2ddcb, 0x5df4ebc4, 0x44ad5619, 0x4ae4b509, 0xe2798d46, 0xac84bb6d,
+    0x585e78e0, 0xaf084393, 0x420fa2f2, 0x6cf9a617, 0xb2c9cac4, 0xe5f7889d, 0x6b820dca, 0xc1f9a9f0,
+    0x8c0d5b00, 0x0a09c776, 0x49065f76, 0xae59a8f1, 0x0d086419, 0x137d6bd0, 0xf394ae2a, 0x5a4736c8,
+    0xd6f6a7ff, 0xde00b253, 0x0dbb9474, 0x5369dc68, 0xd667f053, 0x30aa4a2d, 0x7bfdb4f8, 0x1e5e1519,
+    0x7368a4af, 0xfa6249ce, 0x0fb51a93, 0x70205853, 0xf505e776, 0x0630eab9, 0x2abce600, 0x4cfabb5a,
+    0x6cdb39a1, 0x8d4d14a7, 0xdcb68a91, 0x1995f5f5, 0x5a4f0397, 0xcafedce9, 0xdf5c05fa, 0xc4cfc0fe,
+    0x19efd340, 0xf3670d70, 0x0c9a94bb, 0x3f635038, 0x8b413d1c, 0x6e316db8, 0x9b28cb5a, 0xaedc9600,
+    0xeba74a2f, 0x79c4b842, 0xa81dd644, 0x7874fcb6, 0xa3b8796b, 0x48e988db, 0xb8c4f37b, 0xeb336f1f,
+    0xf840ba52, 0x6394e656, 0x6e447319, 0x616f3659, 0xe2585f91, 0x1a2eb54a, 0x3b9b3827, 0x3056f5bf,
+    0x96cda387, 0x579aa835, 0x0933d93e, 0x6e27d0f9, 0x9476d98e, 0xe9b2984d, 0xc23983f2, 0x95296ad8,
+    0xc2f0434c, 0xfd0020c9, 0x2f993884, 0x374df5c2, 0x959954f9, 0x4c1e7049, 0x628ccf84, 0x50433f39,
+    0x42b41ef7, 0x946bd593, 0x00de825b, 0xe83422e4, 0xcfc89717, 0x573e09bc, 0x05b92617, 0x517b0611,
+    0x795da160, 0xd4300685, 0xc477aadd, 0x0e620138, 0x8db96b65, 0x624682dd, 0x309e8f9a, 0xc05f7ad6,
+    0x542ab8ac, 0xe8b54e3d, 0x21e78420, 0xaa18f4f6, 0x759b5709, 0xc5edbfc8, 0x6a5318b3, 0x4fa5bdb8,
+    0xb20acbc1, 0xd83ad5c2, 0xcbab0fe7, 0x791a01e4, 0x9bb8873c, 0x9a961cdc, 0x2327ea4f, 0x912eff76,
+    0x88a90e76, 0x9b08a798, 0x2fd02c74, 0xc648b940, 0x87a878f0, 0x13d70124, 0xf59e2caf, 0xdddf186f,
+    0xdbad01ec, 0x99819e81, 0x4cc32d21, 0x5021d6d3, 0xf607e5a4, 0x660337c2, 0x1e8e93c8, 0x284661ac,
+    0xae889fca, 0xbbdc43d6, 0xe9053ca2, 0xb004bbf0, 0xd1fbe953, 0xc7cdeb1c, 0x9ca01765, 0x51fbb3d7,
+    0x9c701a55, 0x867662fc, 0x8cbb9fa3, 0xc896c784, 0xdf34aa4a, 0xf90ff2a3, 0xb176c864, 0x39c0f11b,
+    0x1e998dcc, 0x0236f776, 0x3b84fefa, 0x08f976de, 0x52d63098, 0xa0645bc3, 0x08437754, 0xe4e4637f,
+    0x6bdd2a5d, 0xb0cf07ad, 0xe76813b6, 0xb12267c6, 0x23687323, 0xd7ce5dcb, 0x58d025ab, 0x834f4976,
+    0xc9d7d2ea, 0x568d654b, 0xdf5e56df, 0x7c0ded6e, 0x22eff35e, 0x4facf22c, 0xf0f83840, 0x223447ae,
+    0x96273774, 0xcfc606b8, 0xec04fe46, 0x17aa90a4, 0x77a1288d, 0xa0a2f3da, 0x19c3b0a8, 0x8dcbb046,
+    0x8ef5c2c5, 0x4db817f6, 0x5c42f425, 0x9e4e4e76, 0x60eab2a6, 0xb8f621c9, 0x298c0273, 0x54e6172f,
+    0xe7b107d8, 0x28e5ea87, 0xed084181, 0xd0e30f9c, 0x2beba5d4, 0x7a468ac0, 0x5be42db6, 0x81aec9ff,
+    0x49bc14de, 0xc93af58a, 0xd7b186b1, 0x728fdd58, 0x25278df3, 0xc748139e, 0xc755e2ff, 0x0a61835b,
+    0x9adb13cc, 0x9bde76e9, 0xc42d0a5d, 0x0239b8a7, 0x1999a5d2, 0x7f3761e3, 0x8604b4f2, 0xc93b43ee,
+    0xc62978d8, 0xc370f5cb, 0xa7edfa85, 0x6a42fed5, 0x155b1ae8, 0x22ec260b, 0x26e1acd1, 0x969d41ef,
+    0x158d70b4, 0x687e5214, 0x4c55a883, 0xc00d1bb1, 0xbc8b4bc1, 0xd2a03670, 0x32af2d3d, 0x039c0ea5,
+    0x51258e40, 0xbbe82311, 0x12674775, 0x8d56b1d8, 0x6edf79dd, 0xe948a285, 0xdd09bf34, 0x21e55c13,
+    0xd33885f2, 0xe096fb73, 0xab743217, 0x4ea31237, 0x5319dab5, 0xc1389b85, 0x99a8078b, 0xb08ae315,
+    0x9f01c2c2, 0x7bf95624, 0x9b8643c2, 0x25ccd41f, 0x51e8b9fd, 0xa28a6e53, 0x70cda22a, 0x00aeed11,
+    0xd59136c8, 0x4fef3e3f, 0x1cdc83fc, 0x39166f59, 0xeb8d27b0, 0x9591fa5e, 0x4e32a92a, 0x526e8744,
+    0x279d2777, 0x8eb32a36, 0xb53d4d4c, 0x99aac438, 0xa5950b84, 0x2db810dc, 0x9eeb6e49, 0xf6a52718,
+    0xc8748607, 0x953d1c91, 0x776d78f9, 0xf070795c, 0xed395369, 0x1f0763aa, 0xa36f1b81, 0x6150eeae,
+    0x45da86b7, 0x0b76c5df, 0x4865f22f, 0xb98acbb7, 0xa0b5ac77, 0x8048fa3d, 0x0d9a31f9, 0xb165c767,
+    0x99a79b0a, 0xe387fe62, 0xf9375589, 0x55dbedfd, 0xce3582e8, 0x02f3d991, 0x4d7ce159, 0xbd78d68b,
+    0x0741f4a9, 0x3b3c6c29, 0xee0e0ab0, 0x0dd0e70f, 0xdf0f2b9a, 0x7d17ebba, 0x59b2b427, 0x39c31775,
+    0x5367851d, 0x6ed6c6a8, 0x47cb9261, 0x699c4963, 0x53b52aa9, 0xe0b48c10, 0xefe0d8ae, 0xf718a6ad,
+    0x086a74b6, 0x7b446db0, 0x8d411840, 0x6bebf03f, 0xbce605d3, 0x85427abf, 0x8e5a62b9, 0xdc5b0378,
+    0x4a2e8e7e, 0x212af909, 0x8cd1d26a, 0x31afa66f, 0xc2b07d13, 0x00c26556, 0x5fc473e7, 0x7fa75227,
+    0xe2d09b0b, 0x0575dd2f, 0xf441d577, 0xadf4fb42, 0xe1c12850, 0x3b25bfc8, 0xb38af7fe, 0xf75a48a4,
+    0x26a1dda0, 0x37b5cf89, 0xaa98bd24, 0xb1656d26, 0xa284cf13, 0xf8eeacbe, 0x133f9449, 0x79616d5e,
+    0xe95ea611, 0x8e131d5d, 0xbca6ddb7, 0x3d700979, 0x41e88bb0, 0x33f94299, 0x86de0074, 0xe1475859,
+    0xf4dce0ae, 0x31bce5ca, 0x92abbfa7, 0x6e0a3c32, 0xecd247ba, 0x5ea6b7e9, 0xc56640c4, 0x7a5f6e89,
+    0x6e0e78d0, 0x3d9f3aa2, 0x61a25a4d, 0xefc5b9db, 0xa9e57a23, 0xa5de2331, 0xc416c16b, 0x260191e6,
+    0x15c95bc9, 0xa93ff3fb, 0x76eb3f56, 0xc8ac8f48, 0x09778aaf, 0xe8635dab, 0xef5c714d, 0xad44e1b5,
+    0x7c78c50f, 0x3ea30927, 0xbfec2da7, 0xc4263df5, 0x40861e7b, 0x61d8e087, 0xe93383bc, 0x6a6b27bf,
+    0x974d5589, 0xfd69a841, 0x11a450bf, 0x9de7cc8c, 0xad5b0ca1, 0xc16bf5f9, 0x8623fafe, 0xb7f5b1ea,
+    0x8cb726f0, 0x6963e51c, 0xc78ac0d1, 0x4702c2ef, 0x7d219795, 0x377a2d4d, 0x64df2c29, 0x0dda2635,
+    0x35bb41f6, 0xdf315d35, 0xdf53253c, 0x86e6c124, 0x506f8f61, 0xf8eaadf9, 0xc0f67f43, 0xcab875d7,
+    0x9a2b62a2, 0x04b21297, 0x59686ca1, 0x04e6e7a0, 0xae0122f6, 0x3313db7c, 0x5ebafb06, 0x08725b2c,
+    0xe82ad1eb, 0x86401c42, 0x0948d770, 0x785d0866, 0x23194853, 0xf12cc81a, 0x07f08935, 0x3b75132b,
+    0xbdf7ce82, 0xc582ea0e, 0x83c9a215, 0x6d8d4bd0, 0x19c1bfb1, 0x92c3fa78, 0x84f65976, 0x1b0e65bd,
+    0x11fc4dab, 0xf3c8f59c, 0x77d9c995, 0x7918cd0b, 0x13950ab8, 0xaa09c3bd, 0x28300b62, 0x380986a0,
+    0x3602efbe, 0xde633959, 0x13d948df, 0x2ea94ec0, 0x2338f705, 0x66598280, 0x2000eda4, 0xbe2d866a,
+    0x18a26415, 0xffa7a714, 0x94b53b82, 0x04970f6b, 0x07d65fef, 0xd3f7a1bd, 0x12092e84, 0x32a0bdd0,
+    0x1553a81c, 0x58adb52f, 0xd4fb9ea1, 0x94825c18, 0x98ac817c, 0x4b52cca2, 0xaad292e6, 0xdee8d7ee,
+    0xa2fdd750, 0x040f115b, 0x01dd5017, 0xd9925100, 0x2f337965, 0xd978fee4, 0x4edb132f, 0x10920618,
+    0x5a8dc6f2, 0xac0d0af4, 0x04c62ce7, 0x9add9858, 0x779c44dd, 0x5941d30a, 0x58fdd325, 0x4ec91d0b,
+    0x5251aaa0, 0x6d5a2e94, 0x68b2d307, 0x34ef3f35, 0x087d0e07, 0x561e3307, 0x60216763, 0xb563d344,
+    0x4ce9189d, 0x26fd7a27, 0x872d4599, 0xe431fcc4, 0x201748a9, 0x61cc8f29, 0x778b2bab, 0xbfd40bdb,
+    0x43a83337, 0x1ff891b5, 0xac8f98bc, 0xc3a35f2a, 0xf40275f6, 0xebb9f35e, 0xffd48904, 0x46948aad,
+    0x868e2a43, 0x0e7ee2fa, 0x127f1873, 0xa37d3b38, 0xfe526894, 0xf794c4d3, 0x1421690b, 0xc45a98e4,
+    0xb497856b, 0x3828ec0e, 0x9984c064, 0x846589c1, 0x81805412, 0x009e4f6a, 0xcec0bd1d, 0x0fe9dfc5,
+    0xcaf962ae, 0x0f245419, 0xe85a8407, 0x06ba5b88, 0xf59e41ac, 0xc91cd964, 0x5ff8336b, 0x922afdf0,
+    0xd870cd30, 0xf3cb0b69, 0x796627ea, 0xb302b329, 0xf30cbf28, 0xfc97d535, 0xfab88472, 0xd03c643f,
+    0x87badbac, 0x3c97a0ef, 0x02f3a23f, 0x325e6449, 0xbcccef61, 0xd4571855, 0x35442432, 0xab71f3b2,
+    0x85112bc8, 0x64a7daf2, 0xfa4a235a, 0x1b107aa7, 0xba9123b3, 0x53af87be, 0x4fac994a, 0x4e6452bb,
+    0xf62e2e8a, 0x32a3f7e8, 0x53836583, 0xf7a28b38, 0x353d7f39, 0x373814ff, 0x1f32263f, 0xabe03cd9,
+    0x5937174c, 0x6c4af9ed, 0x037b14a7, 0xd4fa9537, 0xeb9bcb1b, 0x0dbd8d8e, 0x696c2ecd, 0xabafa09a,
+    0x29d4d8b5, 0xcff35309, 0xbf7bebd2, 0xed9f612b, 0x01f00a29, 0xdac64252, 0xc34ffa3e, 0x5b8f6a09,
+    0x1513cdba, 0x53dc6c93, 0x73d76e62, 0xac915910, 0x92735a58, 0x69b4b4ec, 0x17e09740, 0xc039f4d0,
+    0xa0017de0, 0xeb9add08, 0x099e3443, 0xc2f1b1ad, 0x57e5e4b7, 0xa03650c4, 0x25ecc4b6, 0x769bcec5,
+    0x8822ed82, 0x6953254e, 0x51f97c91, 0x34aa69d8, 0xd363ad6a, 0x7950077b, 0x29fa47b8, 0xe54b44bc,
+    0x9f381d13, 0x019756ce, 0x6c1161a8, 0x309ab8b2, 0xaba8dbbe, 0x2bc674ca, 0x4b6fc2c5, 0x3692e752,
+    0x0535bbd7, 0x5769af5a, 0x62845190, 0x8c705fe2, 0xc6462efb, 0x52fea990, 0x01d30545, 0xe5d34b6e,
+    0x1d429163, 0x6d5d7f81, 0xbe3b5dff, 0x6f75d1da, 0xe71be44e, 0xa618dec2, 0x54b0b9dd, 0x479a0dd9,
+    0xf803b6df, 0x85963797, 0x09c4cd31, 0xd446c0c0, 0x9ab40ba6, 0x3d6a0778, 0x510b1141, 0x492ee691,
+    0xffd997a8, 0xb3c2f33f, 0xd409219a, 0x0ac9f9f7, 0xcd99968f, 0x4a9ec0d6, 0x56c0fd71, 0xf029e9ed,
+    0xe75fe71d, 0xf670a72b, 0x9ce73c8b, 0xe631c2d6, 0xe1067f51, 0x950ff606, 0xaa3abf5b, 0xb33a7d66,
+    0xfe8fe73a, 0x276de6ea, 0xb804d854, 0x2ffe73b9, 0x48f18b8d, 0xa014b0b1, 0x14809a64, 0x0b57e06e,
+    0x041054b2, 0x2558bc1d, 0x20c08813, 0x68fa52ac, 0x4676230b, 0xa82c1335, 0x2af72303, 0x959f41f5,
+    0x5a591cc9, 0x070b45f0, 0xd22ee781, 0x79ef15af, 0x433bd2e9, 0xa7e36cec, 0x457b3f04, 0x79e0aa8a,
+    0x00f5c3fe, 0x057997c8, 0xdcf07b7d, 0xab715d91, 0x032f12a6, 0xd1f62500, 0xecee3a41, 0xf2d7b2c7,
+    0x8ff269a9, 0xb8e7718d, 0xb2b8d5e6, 0x7684bd2d, 0x4f224b6f, 0xf2c0cb68, 0xc38ed6ec, 0x2d520557,
+    0x4299a877, 0xbe2f9d06, 0xb9af1802, 0x6e0eaa71, 0x4a2bffdb, 0xc125cd6d, 0x56f0c57d, 0xb6597807,
+    0x9741d170, 0x1a149320, 0x3a1c9f35, 0xb5eb04a9, 0x855b05ab, 0xb6cf3d0b, 0xab346513, 0x167e1e50,
+    0xdd001a88, 0x8adb035f, 0x160317d2, 0x817b96c8, 0x6dfa098b, 0x97c758ce, 0x622e3d7c, 0xd58ade5c,
+    0x432cd2e2, 0x54073d76, 0xf8b8959c, 0xab20d814, 0x192cbbd1, 0xa07e7f88, 0x325ff59e, 0xe4c71df1,
+    0x706e92c4, 0x6f5fab8f, 0x04a79596, 0x9f9fe0c8, 0x0d7fecc7, 0x2b226af5, 0x0f9439e0, 0x8c8718d7,
+    0x40e32aa0, 0xa4d94884, 0x9cf65b1a, 0x3e599a51, 0x0b9f54e9, 0x1033c2ca, 0x77b8e04a, 0xed591254,
+    0x75e902de, 0x97e790bd, 0x4fcc2117, 0x7362f291, 0xfec1d860, 0x37941001, 0x8a819696, 0xe89eb690,
+    0x8bfceae2, 0xf28f3041, 0xe5a818f4, 0xd7b341c6, 0x61127a97, 0x36c3ef95, 0x4fbd5a01, 0x04ff3ed4,
+    0x18951483, 0x1f13f0ae, 0xc148e6cf, 0xba176b96, 0x632ea171, 0x7ed3c8d3, 0xa11e83dd, 0x48fa2c6d,
+    0x97e0bc58, 0x11f99498, 0x5014aa79, 0x202c1400, 0xf9c18ed4, 0x7bb405f0, 0xa450c841, 0xe552862c,
+    0xe75838f2, 0xc5301a38, 0xb103b3e1, 0xd899be9f, 0xff9f96bc, 0x3108cb20, 0x282d89b8, 0x8cbfef33,
+    0xd24521cc, 0x80d04296, 0x7acd3e69, 0x64b5d8f2, 0x48525791, 0x222fca3f, 0x8c7646bc, 0x7fafd4ac,
+    0xf9643888, 0x65fef726, 0xd3c21f20, 0x224f36ef, 0xd43d7814, 0x020eb38d, 0x91fed9a1, 0x601f45ef,
+    0xa6a29097, 0xe622c4e8, 0x1d8ea52f, 0xf0fb14f4, 0xe1b927c2, 0x8f9d66b3, 0x675f0c29, 0x310ed58a,
+    0xe2d7ac89, 0x25b363a0, 0x281c1949, 0xbac6e211, 0xcdde5d1b, 0xaabe3b14, 0xd87b023d, 0x4f772cb3,
+    0x15197034, 0x6194432a, 0xcf2767b3, 0x2475ab74, 0x4638455c, 0x3bd4512c, 0x6013a082, 0xbedc7d47,
+    0xba7e0eca, 0xd654734b, 0x40932b9d, 0x68688c21, 0x316bc065, 0x6ede7ee2, 0xf248eed7, 0xefd5f332,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000651851512427035\
+                         54760590262029100101153646988597309960020356494379340201592426774597868716032 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e,
+    0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9e, 0x16741994, 0x3f7a7753,
+    0x00000000,
+    0xb382dc6c, 0xd63a28ee, 0x9b447ddc, 0xd1375bd3, 0xc0d48953, 0x780d9ed7, 0x8f363926, 0x0ecf5665,
+    0x668d5f1b, 0x3c6353af, 0xb0eda092, 0xeb9f346b, 0xec880f4a, 0x5cc8ba9d, 0xb5620330, 0x4ca98366,
+    0x7f9c57a0, 0x18f2aa5a, 0xf943eb6d, 0x516618c3, 0x6625951d, 0x1106de60, 0x5ae83ab8, 0x5488c9b6,
+    0x5f02de92, 0xaf0e5e1e, 0xea16df83, 0xfdd739c6, 0xe55fc7bf, 0x5bca1e1f, 0x52c79465, 0x96e3e4ef,
+    0x66ac7bae, 0x97acfdba, 0x388723bd, 0x70c0e8ff, 0x98739d65, 0x239f0eea, 0x448ab416, 0x7d36f7c4,
+    0x06e31886, 0xebf81160, 0xa146c71f, 0x03369c36, 0x89780501, 0xbac3e173, 0x317770ff, 0x6c66f405,
+    0xcbc6b33c, 0x3856f6b4, 0xbdf19bd1, 0x9bcda498, 0x178df636, 0x9b692244, 0xe085a88f, 0x98cdfceb,
+    0x7bbfd000, 0x52da19b1, 0x38e340d4, 0x76b49eb6, 0x58fdbfce, 0x1f561b45, 0xc4ca8786, 0x1b2c3dfe,
+    0x97b77882, 0x76d2dacc, 0xad9c06e0, 0xf2ed1ea6, 0x2a6f8a10, 0x90517631, 0x43b1cce8, 0xb2cd8db1,
+    0xdecc0ee0, 0x8425a202, 0x7e82e6b3, 0xd507ec50, 0x7e21a70d, 0x5677c5c8, 0x580a7287, 0xebffb961,
+    0x843d596a, 0x8a8a0079, 0x77e0db16, 0x322c8b5e, 0xbee18fea, 0x752624a3, 0x91710eb9, 0xe0c4f6bd,
+    0xacc1b7fb, 0x274afab5, 0xe84be65b, 0x91296959, 0xefe6fcd7, 0xcb4e09de, 0x4c394659, 0x62a032af,
+    0x52d1e2ad, 0xf2aa9651, 0xda52a082, 0x4737b223, 0x56cf9d7b, 0xfd17fb3d, 0xa33861f7, 0xe03b7b8b,
+    0xcf924f1a, 0xc94bcf77, 0x877151f8, 0x64275f1f, 0xc7513bfa, 0x461fe08c, 0xcda097e7, 0x4f8f2849,
+    0x28242e1a, 0x45a976f3, 0xa137af9b, 0xf55e4f5a, 0x14a7dc2e, 0x65495ff9, 0xf9cb5821, 0x7d81126d,
+    0x9cbded6f, 0x7c9f5710, 0x50d6d540, 0x76a08f89, 0x9259e4ed, 0x68a2f65d, 0x98e6c1a7, 0x1504ecfa,
+    0x0099e590, 0xd9933e7e, 0x5263e66d, 0xb0fad192, 0xdf70f8d1, 0x4d429cc8, 0x3a425a3b, 0xa041983f,
+    0x9cbb1dff, 0x0977dda6, 0xed7e0a46, 0xad0b414f, 0xa1146444, 0xa401935e, 0x25f5ecb2, 0x59b2a978,
+    0xc440b2ea, 0x5d502eb9, 0x61c6ccb2, 0xa0b78587, 0x05ee4e71, 0xd592b230, 0xefcd46c3, 0xa59d523a,
+    0xadfdbdcd, 0xf1917a2e, 0x3ccbb15e, 0xb1e6c304, 0x61f4b5f2, 0x2cd7b03a, 0xcf6f7733, 0x202c6404,
+    0xb99886a6, 0x7fb49d02, 0x9d4e5db8, 0x509e572f, 0x9d99aec1, 0x93e4d06a, 0x0595e38e, 0xd460af0e,
+    0x2b76b0cc, 0x064f5088, 0xe70c4108, 0x7cf41d7f, 0x74e0d5c2, 0x564ffb54, 0xb7b6072e, 0xb3539794,
+    0x610d1a6f, 0x3271abbc, 0x184f488e, 0x618ad503, 0xdfb331e2, 0x5ca4f284, 0x8a254c4b, 0x917a677b,
+    0x53ad65ae, 0xe2d9f4e8, 0x9836f303, 0x531f4560, 0xbcbec4f3, 0xb0e300aa, 0xe10d2e9d, 0x7e80ceff,
+    0x29ad7dab, 0x2c4743a7, 0xe6684ef3, 0x04ab20f7, 0xd4f2c916, 0xfe6cbeb4, 0x7d5b1ffe, 0xa112e7a1,
+    0x8eb5cb16, 0x2d7ed20f, 0x638c4898, 0xc7cf22dc, 0x3bac497f, 0x94a970fc, 0xdefdd7cf, 0x11a5ccf5,
+    0x48c64bb5, 0xe900ac5b, 0xd21c3fdd, 0x5f4140ac, 0x91660190, 0x554ce3cb, 0xc0bc77b2, 0x6392e154,
+    0x74aba6e8, 0x100d3c43, 0xd03daf87, 0x9f4f992e, 0xd9d79806, 0xa580093f, 0xfd18ec5b, 0x10a8caab,
+    0x5fa16668, 0xe538a2ed, 0x30e2ac3d, 0xbbd46cc5, 0xf8e193a1, 0x0da0c1a4, 0x32fb8130, 0x241bf681,
+    0xdf019dc0, 0x9898374c, 0x5d64e2b5, 0x534ff632, 0x0a9538d6, 0xa21de212, 0x991ff94a, 0x41b8cdc3,
+    0x301c3568, 0x6b43e854, 0x6f3b3616, 0x1a730b2b, 0xff555c13, 0xd58f0fd2, 0x049ca7a3, 0xaffb2eab,
+    0x7d17f0be, 0x0fb662b2, 0xa58a2e5c, 0xe386ed3c, 0xbe2e9ee8, 0x15d24d47, 0xff781437, 0x12e16e38,
+    0xba49a2f9, 0x9c6fcfff, 0x059c14af, 0x8db729b5, 0x073fc8da, 0x24715ab9, 0xc09eb957, 0x17120f16,
+    0xa2f06171, 0x819bc74a, 0x152fbc12, 0xb496e077, 0x961ecb36, 0x95952906, 0x8ce1cb9a, 0x14ab16bc,
+    0x9e5f5faa, 0x9aa83dd1, 0x07ca791b, 0x07673616, 0x5b079262, 0x71ec2170, 0xddd9c583, 0xf408ea57,
+    0xe1f09438, 0xbbc0afe0, 0x9c4f6dfe, 0x5bad4760, 0x7e3a55c6, 0x1b4452be, 0x7bd6be61, 0xbc81d0a7,
+    0xaa970083, 0xa8d99524, 0x7f2c6aba, 0x537b2baa, 0x62ac82b7, 0x49fbe6be, 0x722fc81f, 0x489307bf,
+    0x4cf5df31, 0x4c85fd66, 0xec2f08fc, 0xb6315d9b, 0xa90dd8c6, 0x5e7a6396, 0xacaff31e, 0xc7f1c6ed,
+    0xb353eddb, 0x6635e841, 0x0fe2c3fc, 0xaa5f350a, 0x25076b11, 0x44cd4762, 0x16e1f10a, 0xe50b2f19,
+    0x45946dcd, 0xc277ff1d, 0x60b34d29, 0x266377fa, 0xa142f6c6, 0xb455f21e, 0xdb2d44cb, 0x712d046d,
+    0x86c2a279, 0x9e0b7708, 0xc3c41388, 0xee5d4270, 0x765d2fc6, 0x736deb21, 0xed342b04, 0x28a2631e,
+    0xa6a21920, 0xb251eff4, 0x202a1a98, 0x59fbfe73, 0x41c3ca71, 0x5c251aa2, 0x9889c92b, 0x3772e913,
+    0x64912406, 0xdc210641, 0xc8f29ec2, 0xf82ccdf3, 0x17f937ad, 0x524862e7, 0x6f7b5204, 0xda6ac16d,
+    0x46a23b0b, 0x6c635b16, 0x0d81e489, 0xc27fe6ea, 0x189856a0, 0x151bef77, 0xf9414c8d, 0xe896049d,
+    0xac31294c, 0x0dc21f6c, 0x746d0833, 0x6a825aff, 0x20f71501, 0xfc2e45bc, 0x45252ac2, 0xbe0492f4,
+    0xcf9776df, 0xae8b18e4, 0x7710ca0d, 0x8135d977, 0xb23e299d, 0xc407e5c2, 0x0bf0f55b, 0x15a8339f,
+    0xe1e1a924, 0x66b56a41, 0x56dd8e6e, 0xc1fc40bb, 0x06b78ea1, 0x5be724bf, 0xd04aef85, 0xacab4475,
+    0xf88a2e51, 0x04a6699a, 0xa86dd2cb, 0x46f464b1, 0xedf9b5b0, 0x5015eba0, 0xc2483902, 0x810cb28c,
+    0x9327f6bb, 0xaca95b0a, 0x3093be1f, 0x478a18ad, 0x8a2833de, 0xed583a0e, 0x58fd8bf9, 0x2157b288,
+    0xb0eeb6c0, 0xd6837e43, 0xa4954233, 0xbd3247b7, 0xfbd15edb, 0x7a9a7da7, 0xd553e583, 0xacbae133,
+    0x74732f18, 0x2ae87feb, 0x753043bf, 0xd66c79a0, 0xcd74b49c, 0x5e0df3ae, 0xeda574b0, 0xbda19405,
+    0x60305c5e, 0xd1cf22e6, 0x12f3ab7b, 0x136fe8b6, 0x0d2d997f, 0x611b8e4a, 0x630a1479, 0x82fe01a5,
+    0x22529a42, 0x32df2c3b, 0x0cd4f0bb, 0x35a9be19, 0x82af7d9e, 0xcb71e9d6, 0x0d1617de, 0x402e29a5,
+    0x06e4e769, 0xafabca1f, 0x43a3d4c7, 0x52e04df7, 0x67aa8771, 0xff610022, 0x19a6f203, 0xa68263f2,
+    0x3b06f226, 0x9d72397c, 0xab42db8f, 0x7fe3e666, 0x603d7084, 0xf2a1edd5, 0x4ef94629, 0x04649fbf,
+    0xde6d5e94, 0xc9180918, 0x25391ebc, 0x04dd1814, 0xad324a1b, 0x9cf3c644, 0xa4dbdf2f, 0xf6f2f459,
+    0x06ca802b, 0x5987c40c, 0x1de02955, 0x23199e47, 0x011fa7a5, 0x6c5ae6f1, 0xe72d6018, 0xf1e0faf0,
+    0xbb5b7ad9, 0x8f035f67, 0xb8fbff7b, 0x0f195285, 0x6ff15d51, 0xb810581b, 0xe996cb46, 0xb501ef2c,
+    0x2d9d56af, 0xe8a75783, 0x6f232a25, 0xb03db3f4, 0x0660d9d8, 0x01a0e382, 0x65fc9c9c, 0x28dbb994,
+    0x02f4f8b7, 0xef5ef87e, 0xd215f895, 0xb507dc69, 0x488bfecf, 0x1c8180c3, 0xa7b3c031, 0xb80111d2,
+    0x539b7fc5, 0x5ee24beb, 0x41d9a7ec, 0xa48f495a, 0x644cc524, 0xc170d550, 0xcf0e442e, 0xd8e047b3,
+    0xf6f0a471, 0xc7be5ef4, 0x3e9e5cec, 0x1d3a6cec, 0x6a80265d, 0x4e4ab189, 0xe1008faa, 0x646aecf1,
+    0x067b48a4, 0x27e81b52, 0x52a33af9, 0x1e717a4f, 0xad2de10d, 0x63248534, 0xb99898b8, 0x3a57a027,
+    0xef7f283e, 0x3fd71a25, 0x3dc9542b, 0x35907030, 0xe0fac46a, 0x09d7b358, 0x583007e1, 0x422ed23d,
+    0xdda0c95a, 0x946185ec, 0xf36dae23, 0x47907526, 0x8819976c, 0x2419dd43, 0x874655ce, 0x5edc228b,
+    0x746d5533, 0xe4618df9, 0xdc961839, 0x083a70ce, 0x7801794d, 0x0063d34d, 0x4fac5d84, 0xb4e305bd,
+    0x7ca78547, 0xf0fec48c, 0xef11c5ba, 0x822dbc25, 0x40bc1c2f, 0xf690c2a7, 0xe5334b94, 0xfb54ab50,
+    0x127f17a7, 0x0203f0cd, 0x48a8df55, 0x9c70197a, 0x1d39e27f, 0x3fcc4bf0, 0x06a5e661, 0xcd63162b,
+    0xb00c0029, 0x9e24333a, 0xeb30c48d, 0x4b908499, 0x2cc6f253, 0x0b7a9c73, 0xc2a0da1c, 0xc0706c0d,
+    0x3d510d1d, 0xed336518, 0x89a883fd, 0x0b45042b, 0x303ed89c, 0x58f096d6, 0x2ce97a67, 0x7f02acf9,
+    0x7efd1d68, 0xf4058aa1, 0xb5194943, 0x05ea9559, 0x2bc7fff4, 0xbd793e1a, 0x4a947faa, 0x2ea96e8b,
+    0x33c6fcb5, 0x65160cd3, 0x5c20b777, 0xd6df7f2e, 0x3bed796f, 0x7b02365d, 0x86ceb033, 0x1b6b807b,
+    0x095c7aca, 0xce84d206, 0x49132199, 0x9fdb7b31, 0x0aefd9e9, 0x3d93997e, 0xe9f3b132, 0x88b5de5d,
+    0x8bf621ce, 0xcf837b30, 0x563f6788, 0x0967dc82, 0xf982e9f3, 0x009800c3, 0xcb8265e6, 0x4a8b52fa,
+    0xe5a4dd5d, 0xe9f97aad, 0x6e54aab8, 0x6c272f60, 0x16f938e6, 0x905940c4, 0x0c935410, 0x5cebf36b,
+    0xe26f0fda, 0xe9455ee2, 0x0ac5c660, 0x9506e214, 0x26168036, 0xc9119e28, 0x05d2dc41, 0xdb353e0a,
+    0xd6f56f1f, 0xd6461587, 0x3168e499, 0xf0946610, 0xf8fb1c04, 0xc57f0f5d, 0x69b4963f, 0x9580103f,
+    0xb59e418f, 0x8378a3e3, 0xe4db74a7, 0x944d30dd, 0xf6331e1f, 0xd1f8c2d3, 0xb105078f, 0x2730a547,
+    0x8a0ca21a, 0x2921491f, 0xbe9b6d03, 0x58795469, 0x64d478c7, 0xbb7abae5, 0x596dce2c, 0x461bf2db,
+    0xe21f5b6b, 0xca82925f, 0x3a23aac8, 0x012bdfb4, 0xe3943c7c, 0x91c026c3, 0xf806a253, 0xa2ea6b6a,
+    0x31e0448a, 0x3add9e7d, 0x45e1d003, 0x3c2674b8, 0xef0b3b49, 0x9a34f64f, 0x9478bbcb, 0x2138d8f8,
+    0x4c1f1ded, 0xc99686ab, 0x65c7f995, 0x9ee365c2, 0x77b48eae, 0x2f9f6024, 0xccb74c24, 0xf92dfd69,
+    0x4eda8894, 0x9a852f3c, 0x819ffbcc, 0x3129f8e6, 0x5e5b9d73, 0x988eb088, 0xa225c61e, 0x478e3f7d,
+    0xacb208a3, 0x5a67b117, 0x1000a1ab, 0x3dcb7a86, 0x793c7b1e, 0xe79431ce, 0x26fded6c, 0xe74d15ac,
+    0xaa9f41c4, 0xe3733e72, 0xc7aa39cc, 0xe6fcef2b, 0xe5c832ff, 0x4ad5f65a, 0xb8304687, 0x54c78518,
+    0x90735400, 0xcef58570, 0xb91fc0c2, 0x1ad1d5e0, 0xa2a8cf94, 0xa715105b, 0x85c4b042, 0xdea63cf9,
+    0xcfe4236d, 0x49e63dcd, 0x4387990d, 0x91830177, 0x062d9c62, 0xdec27743, 0xae259b80, 0x01a350fd,
+    0xe498a5be, 0xd0986e2e, 0x4319cfd6, 0xe7655966, 0x9b761fa2, 0xc532607f, 0x92bf2ad7, 0xfa7a5447,
+    0x295c6619, 0xa9e16e84, 0x9577b6e2, 0x713a9ab9, 0x4b3f87aa, 0x5be826c1, 0x6cd3f5cc, 0x87474f4f,
+    0xc1aaeac5, 0xa5709ff7, 0x4190e382, 0x41902580, 0x6bf54cdb, 0xea7965fb, 0xbba112cc, 0x43d7e491,
+    0xeb94d4b5, 0xede7c215, 0x0e4dfcab, 0xaf732a08, 0x4731e06c, 0x3aea5b2e, 0x2b32f23b, 0xa8b98f65,
+    0x92fec5af, 0x5d2d0b2b, 0x82e3eb77, 0x53b75407, 0x00269104, 0xae2aae6f, 0x440ef75d, 0x9844b0e8,
+    0xcb9d0434, 0x49d37d4e, 0x5ced5777, 0xd6c008c0, 0x51972c2b, 0x8266fade, 0xcc9e0d0c, 0x8e4a16fa,
+    0x19cd3e4e, 0xc72a58ad, 0xfff824fc, 0xb30ea139, 0x042e4620, 0x6e9f2a23, 0xb0f7aaae, 0xcd5c7733,
+    0x2011ed51, 0x6cf10fe5, 0xf0a2ec64, 0xe0f71e85, 0x5727a2ea, 0xf0efd373, 0xf5319b6e, 0x16a190e4,
+    0xae9fccb1, 0x9b6dd0f4, 0xe6d0fc4b, 0xcef14a21, 0xbead39dd, 0x84c500a1, 0xe528dd8e, 0x106288ad,
+    0xbf82af58, 0xfac22f06, 0x4b47ea1d, 0x64c47362, 0xe7854c6a, 0x959b8018, 0x17a6822d, 0x761f1b53,
+    0x99c2a5f3, 0x4bc70897, 0x2d62f061, 0x9fb0552f, 0x8b8947bb, 0x306e054c, 0xe5ab711e, 0xcb2fc443,
+    0x0b0c81b2, 0x7fc15f37, 0xb07bce8c, 0x5f742579, 0x50236f02, 0x0eab3c95, 0x14910a52, 0x25e0c9fd,
+    0xba5c4ba1, 0xd22dc769, 0x4727f4cd, 0xb5d31d68, 0x46b94666, 0x2365a001, 0xddf71ba5, 0x1e6f8327,
+    0xe5c99c99, 0x62901b0f, 0xccca564f, 0xfce36c1b, 0x12640b75, 0x7b137686, 0xe2979813, 0x66b40481,
+    0x18b5e923, 0xe62106b3, 0x68ff4ec9, 0x5b85e210, 0x3a87f2d2, 0x93c7be65, 0xc89129a3, 0xebf08ecc,
+    0xe47b59a7, 0xfca28c2b, 0xd63f790d, 0x22ff0b49, 0x6f6937d2, 0x1ea17173, 0xa22f1672, 0xbcdcb85c,
+    0x85882872, 0x6880bcad, 0x7dce55bc, 0x237114bb, 0xa3455e32, 0xcb1da427, 0xd9be79ca, 0x0be628b7,
+    0x6b4dee22, 0xef49925d, 0x10665f57, 0x0961eb02, 0x3a9590d5, 0xa3248fe4, 0xebf86f2d, 0x0e80e023,
+    0xbc612aba, 0xe0248821, 0xfe7af4be, 0xa8f0a643, 0xb140764c, 0x7d7350b2, 0x407fb2ac, 0x761b3bd5,
+    0xaed3e04d, 0xb7232b85, 0x5f29ce82, 0x7aa95914, 0xfbff39e5, 0xd672a2a7, 0xf4f94abe, 0x37bd92eb,
+    0xbc8201db, 0x09dfdbf5, 0x3e99a98b, 0x1287415a, 0x61f1b5b8, 0x3eb5084f, 0x6af1099c, 0x907a4c8f,
+    0x5e25c36c, 0x728ee03a, 0x524da597, 0x264033ca, 0xdaf2d8ad, 0xac7d85bd, 0x0f1354ff, 0xc6c4f959,
+    0x79a87e53, 0x9b7eac76, 0x050a52fa, 0xabd1425e, 0x79f3edf4, 0x590d7ed2, 0x790b9421, 0x13d09829,
+    0x0e09fc68, 0x19543ba5, 0xedb85c9c, 0x30f3f911, 0xef79bf68, 0x04dc6e7a, 0xbd759e6c, 0xdd0cd6c8,
+    0x75a22044, 0x15431cce, 0xda32dd16, 0x0a6a8c2b, 0x88a2bb64, 0x2f8c6bb7, 0x7886432c, 0x649fc602,
+    0x7540e4c9, 0x08ef7281, 0x40e5698f, 0x9f3cf6e5, 0x021b519c, 0xf2a392b9, 0xa7634ba3, 0x6956831d,
+    0x908ac76c, 0x41c1e3cd, 0xd9d5bb85, 0x69c57263, 0xa6b41bb4, 0x3f1ba3ff, 0x7c502148, 0x780fcedc,
+    0xe1dc4bf7, 0x49b4c515, 0xcb0aa9f8, 0xc93c36cf, 0x0e859c07, 0x4d48104c, 0x9b4d3497, 0x9454c476,
+    0x4bae7dec, 0x0eb59f4d, 0x442a38a2, 0x0f6f09e1, 0xd0fc336e, 0x486e8dcc, 0x3bb22b1c, 0x493af01c,
+    0x0d0d1cf1, 0xe04f0557, 0xcf547a3e, 0x965e2424, 0x5c260d63, 0x5c3123ae, 0x4c1e6cdc, 0xdf3a1df2,
+    0x3f561225, 0x4ead0900, 0x7a1903bd, 0x3ed34ea4, 0xac5d43ec, 0x9007d7b9, 0x58c6f179, 0xb0f6bdd0,
+    0x9517f36a, 0x55986ed8, 0x7991d72e, 0x9354cc3e, 0xb4ce68dd, 0x817c31ee, 0x7a2246c1, 0x1f4c81a7,
+    0x3e39ecac, 0xe35c7728, 0xf44117bb, 0xe92b5e9c, 0x09c7b68c, 0xba6236b3, 0xd34282d7, 0xf0ef1862,
+    0x966f30f6, 0x9e0d2d08, 0x28b18e70, 0xd77207dc, 0x5a69ead6, 0x7731803b, 0x5d2e0b8d, 0xe3fa0fad,
+    0x3eefa04f, 0xe40f5098, 0x62cb0dd9, 0x2d7e2f03, 0x3688205b, 0x320415ab, 0xaafaeb2d, 0x2c50a43f,
+    0x657ee386, 0x2b3e087b, 0x2cc220ba, 0xc2871943, 0xf5179de9, 0xd4a656c9, 0x6f701036, 0xb8af8548,
+    0xb59a3d49, 0xd77575d7, 0x70a9e302, 0xd73926e3, 0x1ecbb905, 0xee7caab3, 0x56385c7e, 0xca59928c,
+    0xe28e67bf, 0x5266376c, 0x6290ceea, 0xa02f20f7, 0xf48f3d0f, 0xb5408b0f, 0x685a7c4d, 0x43345652,
+    0xa1e87529, 0xd706d0b7, 0x217fba2c, 0xe41a2601, 0xbd605e89, 0x9687b2d9, 0x2828db65, 0xfcb9bee8,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000325925756213517\
+                         77380295131014550050576823494298654980010178247189670100796213387298934358016 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37,
+    0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105cf, 0x0b3a0cca, 0x1fbd3ba9,
+    0x00000000,
+    0x979544cf, 0xe3b47c41, 0x0ed07652, 0xc1764a5e, 0xea391b08, 0x5bcb3611, 0x6aae16df, 0x8a0c736f,
+    0xaeb520ca, 0x0c9ae7d9, 0xfee75533, 0xae552992, 0xcfdebc91, 0xd53c5eb6, 0xacc6840a, 0x49712204,
+    0xb067f1c3, 0x12d32911, 0x5b043cdc, 0xaaf175c6, 0x72914c36, 0xd9e9c699, 0x3f252fa2, 0xfe308274,
+    0x4ae3adfa, 0xc04884ca, 0x49b62e40, 0xb4b74a21, 0xd57a008b, 0xf608b1d5, 0x98cffe05, 0x2759d6dd,
+    0xf41c8a06, 0x81b62074, 0xe7774e38, 0x01523263, 0x3b96d402, 0x084bc7e1, 0x177259bb, 0x414184e7,
+    0x8601996b, 0xd1022db4, 0xeed7c2e9, 0x6d38cfd4, 0x877e8ce5, 0xb5ea5b48, 0x50e5ccae, 0x0eefe8ef,
+    0xe70279c2, 0xa95676e8, 0x149b4d6f, 0x090378e6, 0xd1c6660f, 0xd542b402, 0x13abc33c, 0x972b3a8c,
+    0x9117843e, 0x14100703, 0x74b7ca33, 0xf0bbccce, 0x7f388bc8, 0x5f0f298c, 0x8a297808, 0x66e4564f,
+    0x7cda1885, 0xc34c309e, 0x483ddd37, 0x7a56d7d4, 0x8187dfd7, 0x66f0ba5a, 0x3e9b9281, 0x59c94275,
+    0x484fd5de, 0x732257dd, 0x5d512575, 0x25ef9fce, 0x6aed2432, 0xc00b4655, 0x750daf60, 0xecb41b40,
+    0x2f67a823, 0xc47f362a, 0x380040b6, 0x31aec3e8, 0xf6109e1b, 0xeaef485e, 0x460ec814, 0x976ddb1e,
+    0x2896ebb6, 0x9dd6c39c, 0xb78ca7a3, 0x07f81c10, 0x7303fd75, 0xeb2403fd, 0xfd003b0c, 0x235b46a2,
+    0x18e698b6, 0x92eb7e83, 0x78c882d4, 0x2998d933, 0x66696b92, 0x6043b6f4, 0x581859bc, 0x7fdc5c97,
+    0xdd05ee11, 0x2f2f79f6, 0xcbca747f, 0x948d1d02, 0xb6d03b43, 0xbd4157e7, 0xa40eb78b, 0xb823f365,
+    0xe2fa50e1, 0x702b1454, 0x16e959b4, 0xa429e696, 0x3e2fbc34, 0x16fe74fc, 0x72714648, 0xf5732ea3,
+    0x105c3d83, 0x39d4b52d, 0xdc370e0c, 0x5d658445, 0x654bee10, 0x346748ed, 0xa9c6b851, 0x80278f48,
+    0xc7977e93, 0xce552e18, 0x01654a41, 0x11130619, 0xe394b8e7, 0xec3c480d, 0xe925342f, 0x35d7fb19,
+    0x4d408c46, 0x3fee4776, 0x4e06e3d6, 0x62bee9f0, 0x2c71230d, 0xfa527555, 0xddd47a5e, 0x9391c762,
+    0x7a2c779c, 0x7713560d, 0x50a926b1, 0x84a66eea, 0xd03c9ae9, 0xd90e3666, 0x619fae5e, 0x3206975c,
+    0xd7af96f0, 0x5774f4dd, 0x5c64ccbf, 0x63faa4c8, 0xf9bf9e21, 0xb9e7419e, 0x5badda77, 0xbbd3047e,
+    0x6f8f2997, 0x4ac1f1dc, 0x790c844d, 0x8fb60d44, 0x7b637f72, 0x98533083, 0xb7185ddf, 0x502287e9,
+    0x5dd891cb, 0x65a55ba8, 0x7a184648, 0xe8b441a1, 0xa1c46293, 0x53d81808, 0xfd7ec5aa, 0x0e370d22,
+    0x10721c25, 0x4c3356ad, 0x137b4f75, 0xa9839a67, 0x034be8e6, 0x2d2bfed7, 0xb0048b70, 0x66b124d9,
+    0x0db2dee3, 0x57f29eb6, 0xee167541, 0x5a143773, 0xf7d1e805, 0xe9e7718a, 0x35960516, 0x0452ae7d,
+    0x8e517e58, 0x8c9ff013, 0x716e8128, 0x6954f24a, 0xd37bc69a, 0xbd0ccf26, 0xa263b184, 0x5ffc314a,
+    0x32a9e89a, 0xcbde13a4, 0xa4903539, 0x8b73521f, 0xa19866dd, 0x3c5e746f, 0x27ca2fa9, 0x22e8784d,
+    0x23ed494e, 0xba465842, 0xef57dfc6, 0xf7e7ea2a, 0xd0ed69f6, 0xdcd862f8, 0xc0aaff33, 0xaddfc7a3,
+    0xe407b26b, 0x2a30125c, 0xd3b5e6df, 0x5a0d60cb, 0x8c4178f5, 0xdf826d7e, 0x12f9fc99, 0x32b40ce8,
+    0xf25494b1, 0x0cf02edd, 0x5414a701, 0x71b79fe3, 0xbf6ad267, 0x0eea2ffc, 0xd30076bb, 0x9c5099b1,
+    0xa713462b, 0x46f56080, 0xbca6d14c, 0xab320c28, 0x75e49508, 0x40062615, 0xa3952bd8, 0x55221cc4,
+    0xc500027a, 0xd5eb5b31, 0xb104907b, 0xb8dde763, 0x371bd7c4, 0xc11a8ec5, 0x782b0b85, 0x4781fd42,
+    0x00b3b698, 0x502b871c, 0x8206a5dc, 0x3a97c6ae, 0x6ddbcbe6, 0x2e37a203, 0x708fcb6d, 0x1d2eb312,
+    0xb17d231d, 0x7eb746d1, 0xf882e958, 0x17e30f93, 0x6062217b, 0x6b0f1e12, 0x93222367, 0xaff3c344,
+    0xb50c8150, 0xa793dcfc, 0x45063a5e, 0x841b9000, 0x6aacabc7, 0x1a45d55b, 0x19412996, 0xf6448060,
+    0x0f71f85c, 0x8f9e67ce, 0x065fe84a, 0x32869433, 0xee32aaeb, 0x5e419812, 0xd9837f05, 0x532cb12d,
+    0x2e11bf90, 0x11ef9370, 0x01e06629, 0xab9b3e18, 0x1c619a88, 0x7ddfafd7, 0xc4cb5513, 0x59172015,
+    0xe8be1b1e, 0x43ba1911, 0xf1fcf676, 0x3f1ca1eb, 0x0da6a8cc, 0x5d8ff9f9, 0x79a3cb7c, 0x67a9f6fb,
+    0xf52a3c45, 0x400a8c4c, 0x04b3c408, 0x4ed68275, 0x1bd6361f, 0xc7d2a556, 0x80bd1bf4, 0x2191975b,
+    0xa46097e5, 0x88f0caa2, 0xc3d75e86, 0xa1c40955, 0x52097d90, 0xb64cfbc8, 0xfc751d10, 0x794adb32,
+    0xdc975202, 0x1634440a, 0x2fb6bb4f, 0x4ab16669, 0xf0c337c9, 0x67258c1e, 0xa418df30, 0x7005f973,
+    0xdce4cab0, 0x2ccb7cc2, 0xf71870f2, 0x189597b8, 0x3baf6781, 0x3d13945b, 0x73e33187, 0x2498cff9,
+    0x326a851a, 0x75a43ead, 0x320d54c1, 0xee309063, 0xebbd55d1, 0x9d0fde0b, 0x88b9ff42, 0x38662a17,
+    0xadca846c, 0x5d8f62ce, 0x1bfb498a, 0xf3beb58f, 0xa528447a, 0xc1ee4bb5, 0xb80b2c7e, 0x19ff01af,
+    0x4865d550, 0xc9489004, 0x7bff3269, 0x8c2bd45e, 0xc643577d, 0xde6c0f15, 0x10a71b42, 0x773fe1b0,
+    0x1c659981, 0x220937c4, 0x3f4dc6b7, 0xb58cac5d, 0x5fde96fa, 0x16bc093a, 0xf4d94b30, 0x14f77883,
+    0xb8a7d0f8, 0x3bff361e, 0x51c38037, 0x3ca86d32, 0x8b04f352, 0xd32128eb, 0x63ead6fb, 0x2719d397,
+    0x90c749fb, 0xbaab68b6, 0xb9ae317f, 0x56b89c56, 0x17e4fcdb, 0xc8cfe435, 0xd6f1f5e1, 0x9dbb211c,
+    0x8433453e, 0xc4f3d9d8, 0x6b04e488, 0xed8db2b3, 0xbe76b75f, 0x35d1c0a0, 0x5c32ae73, 0x7a11be07,
+    0x968bfc66, 0x92bb53f0, 0xb89ea93e, 0xc5ffa387, 0xc53d8f04, 0x63d70cda, 0x814b3eaf, 0x53db3502,
+    0x228e4b92, 0x3409d964, 0x7318764d, 0x523e0a91, 0xd4b32453, 0x0579b2d2, 0x7d9f5e44, 0x30da1d54,
+    0xcb761811, 0x61715d0c, 0x040b73c2, 0xed345a28, 0x53bf893e, 0x12c1f0e8, 0x5264c197, 0xa513f03c,
+    0x268111fe, 0xb45e93d6, 0x3464b53a, 0x94f57bf2, 0x72aefe26, 0xfd3062db, 0x269352dc, 0x4571087e,
+    0x984155c2, 0xbc17539b, 0x70bcacb4, 0x1d28db70, 0xb7f7d5b6, 0xe87b6d99, 0x0e1aa127, 0x1f1716b2,
+    0xa7f35fd1, 0x525e477e, 0x56977029, 0xc3389dc2, 0x2e1d68ef, 0xbb9edca7, 0xa89517a6, 0x1a69092f,
+    0xd0de294a, 0xc77d3227, 0x5d657e10, 0xf603da42, 0x3167733e, 0x89b21697, 0x722db6c2, 0x276ea4cd,
+    0xa1135345, 0x4280abb3, 0x4dd8d7e1, 0x8c6ff3a5, 0x0725a481, 0xb795b13e, 0xbd78eb29, 0x833179c3,
+    0x1002f83c, 0xa3627d95, 0xf87c3568, 0x0890c5a9, 0xab02efca, 0x0acca6d3, 0x16511e5b, 0x086eee50,
+    0xbd79cc71, 0xa7bf192b, 0x22d3c8fd, 0x3937103e, 0x5105107c, 0x2f114f1d, 0xbfa3a81f, 0xe27889bf,
+    0x6b756e77, 0x83220216, 0x6750706e, 0x18c91113, 0x8a2b7b19, 0x3ff7d3ad, 0xcb9b8069, 0x0a703145,
+    0x1a1f8c21, 0x23531b25, 0xc87682b3, 0x8fd353f5, 0xa115d706, 0xc7a9ae73, 0x7c669677, 0xf1c0b096,
+    0x3ef363d1, 0xf436a5f6, 0x25b21962, 0x75912f84, 0x98bea337, 0x1b053c09, 0x4b604c1d, 0x9309ced0,
+    0xf9e45acf, 0xe989666c, 0xf5356551, 0xfe076a7c, 0x2c5fef5c, 0xd453c2aa, 0x7a48f217, 0xaa89cddb,
+    0xfc45e629, 0x1f01ddf2, 0x219f2a1e, 0x28ddd285, 0xc21b0883, 0xf71298a9, 0x8fc6ca82, 0x23f0b10f,
+    0xe3b73a4e, 0x6fec50b6, 0xa58e55d9, 0x41cf738e, 0x16ea02a3, 0x2b1190f7, 0x548afeb6, 0x7721be2e,
+    0x53675723, 0xa9a53c5d, 0xa91e8f89, 0x0d2024cd, 0x829b24db, 0x11fb569c, 0x03e7fb56, 0x291e0d65,
+    0xc29918c9, 0xb7657eaa, 0xf54084df, 0xefb8465e, 0x9201fdab, 0x3b2db88c, 0x70569930, 0x3a8b1c2d,
+    0x508bf56d, 0xab15ec4c, 0xf2e8bb82, 0x2db3d0c5, 0x509a4871, 0xf5eb67cb, 0xf7775e33, 0xa3e738d7,
+    0xa81f88eb, 0x4df334a7, 0x8b29714f, 0xb4c126c9, 0x61f47ff2, 0x2169bd2b, 0xe8cbe67f, 0xb73f1ded,
+    0xb09ad115, 0x4929c9d4, 0x84d9f46e, 0x9f262167, 0xaa4f1e00, 0xecb5890a, 0x069584e3, 0xd5f1842f,
+    0xfd0867c3, 0x8d168bc0, 0xc5b2a741, 0xb15e8cad, 0x66c81694, 0x914c1e3f, 0xd1fe71bf, 0x295573e4,
+    0x3ea1b7c4, 0xbec967d8, 0x7bdb8ffc, 0xc0541494, 0x28525645, 0x1499cce8, 0xc347adf9, 0xe7be547d,
+    0x4360cd3f, 0xb174fbee, 0xbcd95581, 0x6183ed17, 0x53c29485, 0x2fe45c83, 0x33811dc0, 0x4b76df37,
+    0xfa6d4947, 0xde1eb4df, 0xd2c9dd33, 0xec110bdc, 0x6843adf7, 0x5ba4c183, 0xdc21bea6, 0x1ece752b,
+    0x5205f2f4, 0x522af82c, 0xc5dad431, 0x6fd2d12f, 0xbff8c3c8, 0x2989b940, 0xedb53290, 0x1426e2a3,
+    0x32c2546e, 0x82c6ce4e, 0x9b430bf4, 0x13ec7eee, 0x9791db8a, 0x88c1fbfb, 0x4ff50dc1, 0x965fbccd,
+    0x298bd9f0, 0x40b76e91, 0x2e0050cc, 0x455e2d33, 0x03d0cc35, 0xb58be8da, 0xf870e2ea, 0xb9b76061,
+    0xeaac786a, 0xe55a34c9, 0x8e058f74, 0x073b7693, 0x170c69da, 0x123733db, 0xf971a4c8, 0x2d51a03b,
+    0xafb6ecd7, 0xe5b21db5, 0xc14e95dc, 0xf396d0b8, 0x832fa304, 0xbd0fdc9c, 0x3b70f755, 0xfbf906fd,
+    0x55751e00, 0x4972872d, 0xdcafa84d, 0x1313087d, 0x465817a8, 0x86c29309, 0x02cd9046, 0x0e0ce291,
+    0x850cc6d0, 0x2a5f24ac, 0x41b6c5a8, 0x718d8e0d, 0xce27fbd1, 0x4738d3f4, 0x99abd259, 0xce728351,
+    0x3f75bd14, 0xdb7d412f, 0x3e3ebb52, 0x7f6d8dd1, 0x364e2a16, 0x0d07111e, 0x891dd4ed, 0x2f924848,
+    0x509753e3, 0xe859466a, 0x0ce3b886, 0xc01a5ede, 0x34f0be7a, 0x9d24152a, 0xd0709046, 0x80647957,
+    0x6a2db5db, 0x3cf8dc34, 0xbcf00cfa, 0x9541a2c9, 0xe84dde19, 0x295156c6, 0x7e550835, 0x0c9dfbab,
+    0xc0693228, 0x3cee470d, 0xb09f0700, 0xc92a28bf, 0x9403b08c, 0x63ea6c85, 0x104ee78b, 0xbce6240b,
+    0x9f950e6b, 0xe9720f21, 0x92f0ef2d, 0x75ddc77d, 0x68f02604, 0x8171c0d4, 0x6fe8f3e8, 0x13085f81,
+    0x9e48ab17, 0x7b1c5d52, 0x9276b759, 0xeb400ca3, 0x34b36dad, 0xdb9bb437, 0x54daaebf, 0x98590748,
+    0x2c139c07, 0x42393ee9, 0xb35bb51c, 0x01150a39, 0x68660fe1, 0x2855ac1d, 0x473fe8c0, 0x16070496,
+    0x16616ec0, 0xe49adb1e, 0x49d8fb18, 0x790b01ee, 0xd08581a1, 0x247951b5, 0xa559f94b, 0xe0beaadc,
+    0x30e2f997, 0xf53f7c01, 0x700c68c0, 0x679f440e, 0x95fb5cac, 0xe918027c, 0x209e8a59, 0x599e66c8,
+    0x8eda5693, 0x4cb44d20, 0xf3371c75, 0x0fdcde3b, 0xace78caf, 0xa214971f, 0x8bef843b, 0x310e2c00,
+    0x22e60984, 0x7d74ad4a, 0x807737ea, 0xb0446c3e, 0xb6edc892, 0xc7d016ba, 0x6c06614e, 0x24e0cfc9,
+    0x4caba23f, 0xc8258983, 0xa1567b83, 0x75f87d34, 0xdbde3301, 0x77950c27, 0xb97045c8, 0x747c58e3,
+    0x867e6048, 0x52bdcaa8, 0x1a281f57, 0xbbb4466d, 0xeba55965, 0x2e56938e, 0x376aa559, 0x3efe81a3,
+    0xd5566da2, 0x7b4ecbc4, 0xbf9b17ff, 0xb69abc66, 0xa3a9a758, 0x04e11196, 0x51156bbf, 0x5375167c,
+    0x53f85b63, 0x60076182, 0x512af4e5, 0x057b255b, 0xdcc94226, 0x114b3a79, 0x9b645584, 0xeaf97398,
+    0x5fb24aa1, 0xf217eff9, 0x17c602f9, 0xf7b27e6f, 0x67061e99, 0x84720246, 0xa2071592, 0x2ae4b6d9,
+    0xb7313734, 0x0b56fea3, 0x158c7cbc, 0x271a1928, 0x889e9f7d, 0x35b85ede, 0x3b45cff2, 0x041c1134,
+    0xb5b2aa62, 0x67bf1d97, 0x5a30d3ec, 0x199574bd, 0x81be868d, 0x09209b97, 0x120406e7, 0x9a925fd4,
+    0x7ca8404e, 0x53a19c83, 0x2e1ec76b, 0x68901d25, 0x277e29da, 0x89ab37b1, 0xd9134c68, 0x24947c8f,
+    0x4df57835, 0x9e8cf8f0, 0x6f3e6dbe, 0x98215d66, 0x28f942ba, 0x11fb7b4b, 0x81c43252, 0x4b68969f,
+    0xab5a0cb3, 0x883febff, 0xb861d5b5, 0x4cbd112a, 0x938ac368, 0x9184b39c, 0xa5cb612f, 0xbda25539,
+    0xadd4533a, 0x02024b28, 0x0be5b54d, 0x12bfa53e, 0xf5718691, 0x4e332e9a, 0x9d39718f, 0xe1fe13d8,
+    0x193de5ba, 0xe27567d0, 0xe23dbe4e, 0x6cb1ad1e, 0xfe4a8c8b, 0x76585583, 0x9b6d4d16, 0xfd517524,
+    0xf69cc1cb, 0x35575008, 0xd20b2a60, 0x58cb13a9, 0x01b6b041, 0xee187846, 0xa1e38a72, 0x40f032e6,
+    0x169ee5ab, 0xd003bc82, 0xc85f9e21, 0xeb21d79d, 0x7a1f84a2, 0xb440744c, 0x5afd96b2, 0xd9e33798,
+    0x73746d07, 0x297268d1, 0xea39e98b, 0xf2bdf2e1, 0x590dd3a2, 0x9c0db00c, 0x24b732ed, 0x89ca4b10,
+    0x3b495386, 0xfbb397b5, 0x3902498e, 0xef626ef3, 0x2481b333, 0xc94c8565, 0x94ef4420, 0xd71bddae,
+    0x8d05ef18, 0xa1d67b13, 0xb712da11, 0x2d6abf65, 0x9b0ac008, 0x0030fa57, 0x505c5baf, 0x063b36f8,
+    0xc6cb99ce, 0x24a50f00, 0x75706ea8, 0xd0d59608, 0x990ddd70, 0x980fd386, 0xbf30a863, 0x78d90acd,
+    0xea86562e, 0x508284fa, 0xc11a50f0, 0xe91d0cd8, 0x460df2d5, 0xbb56777d, 0x579deebc, 0xa109620d,
+    0xded966d2, 0xa92ba3e1, 0x27a1195d, 0xa02ef75e, 0x1539d702, 0xe48de3e0, 0xb5fa62bf, 0x232e0d93,
+    0x10d981b8, 0x777f1e78, 0x9d63e4cf, 0x80f824dc, 0x754f4823, 0x02ce6047, 0x098fbb24, 0x39a21602,
+    0x23d152f0, 0xdf1ff351, 0x1a53d97a, 0xdc110d7b, 0x33c1501f, 0x046a6723, 0xca6ee0f0, 0xd7d21e89,
+    0xf7b406eb, 0x4bd031c6, 0x7d18b3d1, 0xc5ee083d, 0xcca51f2f, 0x2f0fd952, 0xfa70079f, 0x7d87d485,
+    0x9a9b8bdb, 0x14f5e289, 0x904a8f94, 0x8e944c55, 0xeefb9916, 0xe466de6b, 0xc61b497a, 0x87b216e4,
+    0x3979a581, 0x9205a33b, 0x52ebcf85, 0xaca0fcfb, 0xe0b90d01, 0x340c5ed9, 0xb93ab47f, 0xfe135314,
+    0xfd825500, 0x58803597, 0x7802585d, 0x16b98759, 0xeebbf266, 0x62fab48e, 0xa352c9af, 0xc9ba1a1a,
+    0xc94d31a0, 0x1a423519, 0x6266d1bf, 0xdb24cb70, 0xbf4249ba, 0xb814546b, 0xdecd26ef, 0x33b145ae,
+    0xc1ceb05d, 0xfd60602d, 0x706a09da, 0x8e00ccdd, 0x7bbd4e79, 0xe4fb748e, 0x819eee66, 0x21937ae2,
+    0x052be51a, 0x1573cd31, 0x9b4a34b1, 0xd96e8447, 0xf70e16e8, 0xf07716a4, 0x915e0853, 0xf6c909b5,
+    0x955e3020, 0x16c119d8, 0x8559f2e2, 0x0c6e39cb, 0x0ae7f889, 0x0cb79d62, 0xd4300777, 0x23287419,
+    0x39729632, 0xbc030575, 0x899390d8, 0x3fbe1c5d, 0xcbc18f00, 0xda592471, 0x9234d120, 0x40a27b20,
+    0xa520b373, 0x7d64f3bf, 0x3dfd2bd5, 0xa9d18b9b, 0xf13541d2, 0x041b7885, 0xbfb61604, 0x8a0f4645,
+    0xf7e79345, 0xe48a1bb8, 0x3019c423, 0x9b78df94, 0xea7f9492, 0x44cfe041, 0xc68734db, 0xba32f0b0,
+    0x8da48dde, 0xcee8d26f, 0xcc6e3535, 0xbbda3b69, 0x4d33cac9, 0xab1692c8, 0x7a07cd38, 0xae8c043e,
+    0xb583f02d, 0x07f377d3, 0x7bca8622, 0x0ef98c9c, 0x5a13c20a, 0x6ad7c5d9, 0xf5050cd2, 0xae5521a0,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000162962878106758\
+                         88690147565507275025288411747149327490005089123594835050398106693649467179008 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b,
+    0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e7, 0x859d0665, 0x0fde9dd4,
+    0x00000000,
+    0x8b4b184a, 0x5109e3f8, 0xc4a1717b, 0x1c9791b3, 0xeabee62d, 0x2dc59ce2, 0x986008a9, 0x224a7b40,
+    0x92b7d21d, 0x6134edd2, 0xc1e121ca, 0xefd287e2, 0xac477393, 0x23617ddb, 0x190df114, 0x975bdf3b,
+    0x8b07780c, 0x19ce74d7, 0x4487be3e, 0x18267804, 0xac04c1e0, 0xf0734183, 0x2e17789c, 0x99483347,
+    0x068b3618, 0x39923f88, 0x1c5981db, 0x5b8e10f1, 0x9f592d81, 0xee69a0c9, 0x5a8cedad, 0x3debe85a,
+    0xc989b289, 0x88ba6457, 0x7663ad91, 0xa949e1b4, 0x4d1c8506, 0x80beb561, 0x941b0a74, 0xf49e61d9,
+    0x8666f894, 0xc541ae37, 0x65da95de, 0x3abd43b7, 0x8f0fc5ed, 0xd355139a, 0x7acd6032, 0xe3b4fb7d,
+    0xf4dae836, 0xc96b4b77, 0x75e083cf, 0x58859660, 0x510e22f3, 0x69cc9e12, 0x419ea2f2, 0x26eab740,
+    0x2425efd8, 0xedf4a23b, 0xb7464a23, 0xe8dbd702, 0x987a4b5e, 0x5658d59e, 0x1b6fe481, 0x1535d692,
+    0x13d9849a, 0xe5ef2b05, 0x2a42a655, 0x0b38edfd, 0x778870c8, 0xc11c1ce5, 0x0d2f304c, 0x367efc11,
+    0xab658a51, 0x958b76c9, 0xa2863445, 0x1f487eea, 0x296db112, 0x1fb05de3, 0x8792a57e, 0xa0e07e5e,
+    0x5dc0c5fb, 0x7f66335b, 0x7b7ef32e, 0x497ece53, 0x04525429, 0x19e6c648, 0xb89e00d4, 0x6baf431f,
+    0xb8eadf5d, 0x926923b1, 0x1d48a977, 0xc50b4292, 0xe19ab25c, 0xb8db23bf, 0x97c20df1, 0x83f53fdb,
+    0xbae241af, 0xf9dac937, 0xf136c92c, 0x1db2f67a, 0xaf5008d2, 0x26b5d27d, 0x803b0aab, 0xcb86836d,
+    0xe358da5a, 0x2b3194e0, 0xe26bcc36, 0x680ebc9f, 0x76cf5e21, 0x035ec5af, 0x5f9cdf4a, 0x70ab8e88,
+    0x38853ab6, 0xa6cc3e85, 0x57011a7f, 0xf9a741d1, 0x5a5814ff, 0xf157f2f9, 0xff7571a2, 0x007ae515,
+    0xbe183206, 0xce32a4fd, 0x1cbf2010, 0xf02ef50d, 0x3a95a573, 0x5d40daa3, 0x9f5d7c18, 0xf8f8cc3f,
+    0xda57b39f, 0x00dbad72, 0x59b57716, 0x5b2ab2e4, 0x07073224, 0xba457fe1, 0x7f5c5939, 0xa7e0044e,
+    0x86d98597, 0x38a50a77, 0x18353a60, 0xf38ee3d1, 0x4cf818b8, 0xf1b0729c, 0xe941ca27, 0xa9fce5a0,
+    0x3cfdb320, 0xfab2d269, 0x824a08be, 0x789ffd54, 0x416d8957, 0x480e3673, 0xafb5bf4b, 0x5baef646,
+    0x773f6ceb, 0x398cd93e, 0xdb3f0711, 0xd854677a, 0x0e0c4874, 0x1fe270fb, 0x82cfaed2, 0x8166f852,
+    0xad150733, 0x8c0fe414, 0x4052ecd8, 0x581fecbd, 0x97e932b9, 0xcedd4143, 0x94b6e234, 0xfe6788d6,
+    0xa489314c, 0x2c80cc6c, 0xc3eace2a, 0x51f068d5, 0xea1d72f3, 0xa7cf3e9b, 0xaf817c38, 0x9b751d86,
+    0x4ba51702, 0x0de1ec4c, 0x50d40689, 0x0792622d, 0x519a5adf, 0x5c070620, 0x1f6f275b, 0x24a9ba5b,
+    0x6956d57f, 0x1225ff8e, 0x2c869df3, 0x3c018a7b, 0x04af038b, 0xa7cdee98, 0x8e959b6f, 0x3d0780b9,
+    0xf68920f8, 0xd1ef176e, 0x0e252546, 0x82fe617f, 0xb5f4c344, 0xee6d316d, 0xdd14cc5a, 0x5d750ccf,
+    0xb7ec8d8e, 0x00a41a57, 0x13170ae3, 0xd7eaf726, 0xb341795d, 0xe0015502, 0xa233bcb0, 0x27801731,
+    0x4fcc9bdd, 0x90538012, 0x874d1e3e, 0x1180287b, 0xdd34a7bb, 0x6a97beb3, 0xb38387bf, 0x3c61666b,
+    0x9672bfa4, 0x725704d1, 0x9918c92b, 0xd88b8a8b, 0x0fb93c32, 0xc5b40ca8, 0x2cee72fe, 0x9fd80765,
+    0x35852a29, 0x9f873768, 0x05108cec, 0x4ba389b0, 0x5c45c5c7, 0x92d96aab, 0xaed8e304, 0xd87d9f42,
+    0x7413c042, 0x3fdc20f7, 0x348ea5a9, 0x271b99fc, 0x4b33d154, 0x4d51682b, 0x0309b0bf, 0x0fc06638,
+    0x80b891a1, 0xfef353e5, 0x9ea6d06a, 0xa146ad71, 0x1d673afc, 0xa369b9c2, 0xa562a27e, 0x867df137,
+    0x8decbd4a, 0x1e260db0, 0x25f7e18f, 0x47dd7ae4, 0xc7d6c42a, 0xb2b56cb6, 0xe04980b8, 0x2f5d6630,
+    0xa4416074, 0x51da1306, 0xa450e81c, 0xe925d8d7, 0x286ddc13, 0xff4439c2, 0xa20a63c7, 0xd4682203,
+    0xcc859280, 0x4abe6050, 0x919a67a9, 0x53d421b6, 0x3fd2e785, 0xd4331ec4, 0x62f0ea49, 0x41459b88,
+    0x0de9e4f8, 0x4f75870e, 0x01800896, 0x8c2989b5, 0xc30434c1, 0x39fe6a7b, 0xa73ba023, 0x213bc657,
+    0x51bafc4c, 0x763f9d38, 0x6910cbd0, 0x1fcba7f9, 0x0432b262, 0xc2861556, 0x4709e8a0, 0x0cd7f28c,
+    0x6b93410a, 0x43836c45, 0xcecf784b, 0x9a54cb87, 0xae2ebd91, 0x5489a6a4, 0x2ffb4724, 0xb5104b05,
+    0x9420ad39, 0x5eb91e2f, 0xfb38b5c6, 0x83134b9a, 0x5cadcd28, 0x5267f788, 0x0deae9d0, 0x1ff278c8,
+    0x51f7d5c9, 0x6925bb14, 0xfeb663d6, 0xe009a258, 0x5cba6884, 0xde3bf66b, 0x78136c8e, 0x883dd38c,
+    0xbd54af7f, 0x57ad59fc, 0xeaa95394, 0x3a6b6ae7, 0xd0082fb7, 0x74f2ec82, 0x0a2c2023, 0x551a067c,
+    0x251a9de3, 0x41e2637b, 0xffda8157, 0xfda30996, 0xab70d092, 0xa061a543, 0xe82f99fe, 0x887c050c,
+    0xd4ff5a68, 0x5766dc2a, 0x7505eae7, 0x2e8618ca, 0xcc6a9f55, 0x5ac92115, 0x1ba37091, 0xd45b06e9,
+    0x3526fa28, 0xf4dc0474, 0xe9cbf8d1, 0x04b7745e, 0xf79d5018, 0x7f4c44b9, 0x88a21d94, 0x2c50b64a,
+    0xc8822a0d, 0xbe065ca8, 0xc9cbc992, 0x8d14e4a0, 0xed958eec, 0x8fa7b7d7, 0x4598b9b6, 0x670a9cda,
+    0xfbbc7a89, 0xaf6768a7, 0x8b292df4, 0xf710b587, 0x79d6d8fa, 0xd1000d85, 0xc5597d4f, 0xa6926982,
+    0x08c30185, 0xcf840d08, 0xa00f5f85, 0xdc73e36a, 0x910df0a7, 0xbe9b7ecb, 0xc882c595, 0xf125ec70,
+    0xd5748746, 0x5ba99e24, 0x8a763b6f, 0xc240dfd2, 0xca69df6c, 0x09b0027d, 0x47c68301, 0xd98ff736,
+    0x0a72e434, 0x4f8e7fdf, 0x92fc449e, 0x72d261e5, 0x935e0380, 0xcc7aac4b, 0x419c6c8d, 0xc01d541e,
+    0x296c852f, 0x06009385, 0x973ae631, 0xd141029f, 0xd004a2d8, 0x2d1dfe2e, 0x42331ff2, 0x7ebe1ecb,
+    0xf00dedcc, 0x88d1295f, 0x6e2fc422, 0x9b3edafd, 0x2fb6a520, 0xbfd37f81, 0x3c80f63f, 0xb11ffe09,
+    0xaa397d46, 0x562f35b4, 0xc43c800d, 0xa53bf1b8, 0x812cd8b6, 0x4d4c661e, 0xfdc94f79, 0x911f44cb,
+    0x6d136ec8, 0x5a314f39, 0x91b3ba80, 0xa941798a, 0xd7de6ca2, 0x4fe8a4a2, 0xb74cda77, 0x5f70760c,
+    0xc19e6328, 0x49ed13c9, 0x1b12dc57, 0x6141c5dc, 0x73c001a5, 0x095857fa, 0xb13c4ec7, 0x9dc8451a,
+    0x50a3ce16, 0x00997805, 0x9c5b9d25, 0x412c98de, 0x82ed8d6a, 0x5e9ec63d, 0x54957a1e, 0x68c39ca3,
+    0xc6418f5c, 0x29b03fb1, 0xef0a8c85, 0xb1abc3b8, 0x2f4be95e, 0xab1f00b1, 0x25a219b7, 0x9ef1108f,
+    0x9d3a72e2, 0xff2866bf, 0xdd907b20, 0x62a6ba87, 0x3b5ee35f, 0xba0b7bcf, 0x928f296f, 0x7547c524,
+    0x4986ad66, 0x51492fa5, 0x7a79291f, 0x5d6db0a2, 0x47bc73b6, 0x296a452f, 0x99ed1509, 0x5eee519a,
+    0x1c83c2ef, 0xa5d0b446, 0xab15bd57, 0xec07bcbe, 0xd2aedec7, 0x3a0a1cdf, 0xcf4ec659, 0x39ec9255,
+    0x599f496a, 0xe2628a83, 0x349fcbcd, 0x0a779482, 0x726dc966, 0xd36b6978, 0x5258fd56, 0xd8d9aaa7,
+    0x26cd592b, 0xa99a6e17, 0xac76f710, 0x94b38ebd, 0xfd11e11b, 0xd5d70150, 0x9f6fcd62, 0x415d3902,
+    0xb5a4d2b1, 0x558b0ad1, 0xa7bc973e, 0xaed65603, 0xf260384f, 0xbab28a63, 0xba8f4765, 0x25bdfd63,
+    0x56e70c2e, 0xeec2b429, 0xbb578ce6, 0xa117933d, 0x6a2eb3e8, 0x7ec8b512, 0x66e1fb4d, 0x46fb937c,
+    0x281bc75d, 0x828bbca1, 0x0134a04e, 0xcb0e39d9, 0x25a75243, 0xe23344fb, 0x2a4ccbaf, 0xb1762335,
+    0xaaf8b663, 0xf9cf774b, 0x7af7f3ab, 0x399d59ca, 0x30f78e45, 0x728fcf30, 0x7e8111ab, 0x6a7a7286,
+    0xaee84fae, 0xaac356c8, 0x8b801abe, 0xe9311bb0, 0x380d23fa, 0x2ad7f808, 0x6a552933, 0xf90a2d9e,
+    0x7c2fc4b9, 0x26b0fcf8, 0xe4b2cf10, 0xdf18d842, 0xedbf2e2f, 0x84461cac, 0x96dd915a, 0x53f62972,
+    0x5102274e, 0x23c8f847, 0xf20064ef, 0x0307ed15, 0xd59fab5e, 0x81bb2fa8, 0x0a153f0d, 0xb0d2950e,
+    0xf9c47093, 0xa41cf5f0, 0x6daf9d42, 0xbc6aacee, 0x7838bc2f, 0x9649e221, 0xd5057bfa, 0x8e0dcc55,
+    0x06ea1052, 0xfc4edcd4, 0xa87aefcd, 0xb5b78033, 0x4216da67, 0xd6c4900f, 0x6d1edfba, 0x4bba60ae,
+    0xb9e8cfac, 0x000e9b13, 0x8659bd13, 0xf5c5b0e1, 0x5aec8cff, 0xdf46d95f, 0x5af1833f, 0xc67a33fb,
+    0x14e9430d, 0x323ddec8, 0x85bb9574, 0xb25a7218, 0x5ea87b02, 0x6039c8b8, 0xdc607baa, 0x4aca209d,
+    0x11ee0bac, 0xaa21f2eb, 0xe9ad4507, 0x2366613d, 0xe77c54f6, 0x94942c1b, 0xc50ef89a, 0xa3650a6d,
+    0x111cff50, 0x678caa65, 0xe682e0b7, 0x27792efc, 0x7614cffb, 0x778f42ef, 0x2636c15f, 0xdc580b4f,
+    0xb4cfa265, 0xc0a27bcf, 0xe10c3302, 0x2f92c958, 0x4fe9c18e, 0x722b1e9d, 0x7417717d, 0xfc47e22a,
+    0x4d6a3080, 0x014a0a11, 0xea52d6b1, 0x20491813, 0xbe7e7f94, 0xaaf46d03, 0x488f8dc9, 0x0afe6dc8,
+    0x467cfb5e, 0xce0d8530, 0x6fa8b911, 0x91292e86, 0x1f59c159, 0x56c49e7e, 0xd79870e2, 0x5640fae7,
+    0x0d305170, 0x910ca838, 0x9ef6991b, 0x9451ae5e, 0x8c9eedf0, 0x48f1eb6c, 0x98a176ed, 0xa4b2fe80,
+    0x16f6260c, 0x11a104e6, 0x99598432, 0x4e15c118, 0xfb20b53a, 0xb56659d0, 0x7e016cfa, 0x43ff0774,
+    0xcd252ef4, 0x12aef4d3, 0x00b259c1, 0x4dad0ee3, 0x15caec00, 0x678395d6, 0xc0892c28, 0x380465ff,
+    0x7ee0488e, 0x082f87fa, 0x55b8fa16, 0x90edd73f, 0x32f5a092, 0xa6de7e60, 0x11e8fc52, 0x0cb7cc50,
+    0xfde68a8c, 0x80d9ab35, 0xd46320d1, 0x905d916c, 0xfb6cbd04, 0xb1896cb2, 0xfcb28b03, 0xa25411f7,
+    0x9d0cbb02, 0xfa636950, 0x43dac5dd, 0xdee0ddab, 0x62a156da, 0xf1ab7c11, 0x3cbc2f13, 0x7145a26e,
+    0xd6dbcd29, 0x6f62fb00, 0x5106b4e1, 0xf2a40589, 0x3d29cd7d, 0x7c882385, 0x2e734303, 0xb0cd4d4a,
+    0x718a47f9, 0xfcf1cee2, 0x9ea86d5e, 0x66f81828, 0x53e09923, 0x08181724, 0xdae9330a, 0x3619cb4e,
+    0x0f9f7043, 0x943810bf, 0x9c856819, 0xbcd754b8, 0x8ececd85, 0xd57710ca, 0x13751614, 0xf9749b14,
+    0x1c0d2aae, 0x0f6611cc, 0xac21d020, 0x4f362307, 0xaca2ffff, 0x90807d76, 0x6dab0ae9, 0x5266f0d1,
+    0x6fa8fdbf, 0x1d650e40, 0xab500208, 0xa4ec37d1, 0xa2d42caa, 0x1af65ef5, 0x29813d24, 0x960d4129,
+    0x176ce926, 0xc56f8c4b, 0xefaaf22e, 0xbe962504, 0xda2e39c4, 0x83f2c56d, 0x539a9175, 0x4131a0fa,
+    0x4958f2a5, 0x2d1965ef, 0x2504c620, 0x2827c837, 0x389a1d0a, 0x2566dc16, 0x70ef65b3, 0xdad7e8d1,
+    0xc571566e, 0x2f0954f2, 0x70cd7c8f, 0xdfe4cc2a, 0xc3270c16, 0x4d5db83d, 0xa821561c, 0x46fd4ce5,
+    0xcc9ec325, 0xf1600c7f, 0x602460fb, 0xf7a70cbd, 0x354a93bb, 0xe88f9fbc, 0x66cbfeb2, 0xc916aab1,
+    0x462ff0c5, 0x11d0cfe6, 0xae4252fe, 0x245a14e6, 0xad4093f6, 0x4ebed178, 0xce993edf, 0x8dcf71e2,
+    0x4275650e, 0x54ac1bef, 0x1b200633, 0xb45490e8, 0x7a03a125, 0xa8fa31dc, 0x2b985adc, 0x499e1c4d,
+    0x93d6f8e2, 0x15c03764, 0x80d516b2, 0xed96bb41, 0x38bfed01, 0x94e0bbe0, 0x641c706e, 0x9a364d0a,
+    0x8d4e0975, 0x750b4029, 0xe8bbbdec, 0x4f3bc74b, 0xc30c1b26, 0x6006d3cc, 0x7b7ce075, 0xaf92e6cb,
+    0x35799c55, 0xde010822, 0xb8a2d2b0, 0xf0eaef20, 0x338aabf4, 0xda889565, 0x84cf46aa, 0x27ccfb9c,
+    0x56a846f0, 0xb7b2eb3b, 0x3a726b05, 0x5dc872cf, 0xbb634f2e, 0x1fc45c0f, 0x748c295b, 0x57ed3557,
+    0x668e07bf, 0x30496005, 0x7358e166, 0xa0309df3, 0x07b90b83, 0xdf057c9e, 0xb9edaa8b, 0x89f61a0d,
+    0x76a9fd5d, 0x87e4b660, 0x99563add, 0x25921b5e, 0x0b210782, 0x2c2f0b19, 0x9f087940, 0xdd03b7d1,
+    0x9106d23b, 0x60af273b, 0x7522613f, 0x893511b7, 0xf8ad8bc3, 0x662f3c4e, 0x9c551f87, 0x33ed84d4,
+    0x9b21b90b, 0xa3adc08c, 0x5dee30f6, 0x43a9b1c0, 0x7e62d0c7, 0xa5f2870e, 0x221c2191, 0x49af4271,
+    0x9065b583, 0x4c47753d, 0xe7f89d66, 0xc957e2db, 0x934a0aad, 0x93fa8bc0, 0x16699172, 0xeeca80fc,
+    0x06fac010, 0x3450c5a8, 0x51acda6f, 0xca2d648b, 0xa8b47cff, 0x217050de, 0x107bd57a, 0x01e47987,
+    0xb8577ef9, 0xd4d2a32f, 0x0477418a, 0xb3a4696a, 0x15e96190, 0xfd9bdd3f, 0x087751c2, 0x35476685,
+    0xb76bbc0c, 0x9029df5b, 0x136ba636, 0x8ab1f3d3, 0x0f5b04d8, 0xb4d9d524, 0xea55bcb0, 0x3f6b344f,
+    0xfa63cf92, 0x3cd734d3, 0x7ca6a8a4, 0xd5e6e303, 0x40e30107, 0xcb5fe50d, 0xa5b1dc50, 0x64602ed3,
+    0x828e4d17, 0x4640a48b, 0x6299eaac, 0xfa4fb10d, 0x858bba27, 0x07d312ec, 0x6622a05c, 0x35ec254d,
+    0xaeec4980, 0x3bcce1c6, 0x5e9ae23b, 0x3e378e0a, 0x51ca005e, 0xbb377390, 0x99ae0685, 0xc3271b08,
+    0xba5d6045, 0x93fa1d2d, 0x63cafe0b, 0x7c909342, 0xb84e527e, 0xb829f540, 0x9d314d46, 0x7fa6e991,
+    0x9087b9c1, 0x0dfeed46, 0x010a1156, 0xbc276d85, 0x26afa98a, 0x4bbe82a1, 0xd79b57f5, 0xe305d8b6,
+    0x98f3c9b4, 0xf682d6e5, 0x8b28a42b, 0xc3455728, 0x7520e4c5, 0x6688c893, 0x31f20d2c, 0x374a5ed6,
+    0xa76a2fe0, 0xce1b25d3, 0x6567f75d, 0xf99a8ade, 0x6c39c320, 0x77a6273d, 0xe6d24e8a, 0x8fd357b4,
+    0x167f1c4e, 0xfce22047, 0x56983f59, 0xf3e0e7f9, 0xb2e1defe, 0x407a53e2, 0xfd372edc, 0x6e73d930,
+    0x8987cae1, 0x604c1b1a, 0xfca8ab5e, 0x43ca202d, 0x23008300, 0x54dd9b94, 0xfee76113, 0x45d5031e,
+    0x223ff183, 0xfead36c6, 0x9d4c7266, 0x91133bdf, 0x28ba0ae9, 0x3449eff0, 0xb501b21b, 0x30d95e1b,
+    0x1cddbf47, 0xf150ca13, 0xe5901ef5, 0xfb4f4c65, 0x84a48c07, 0x1b1b8944, 0xd05c4577, 0x465bb220,
+    0x070a08ff, 0x55d9d820, 0x090c3509, 0xc78f022b, 0x67ed28d4, 0xed8ea5ed, 0x7c51a099, 0x49630595,
+    0x05fa4d53, 0xee02a137, 0x7dd49a05, 0xc73d80e7, 0x56dc224f, 0x7ed03174, 0x762ff08a, 0xa917a4f3,
+    0x4d650c62, 0x47e72a13, 0xd068371d, 0xb597097c, 0x7b27bef5, 0x65cb447e, 0x3927f27f, 0x363986e4,
+    0xe13ec102, 0xe91a9c94, 0x873734dd, 0x4496f28e, 0xee3f6ba5, 0xedc36e2a, 0x620b0486, 0xde23e3b7,
+    0x7c9761ba, 0x41dcb1bc, 0x249811ac, 0x0d91d10b, 0xf89d9aa4, 0x0f6ff0ac, 0x61420862, 0xbeb7002e,
+    0x514260a6, 0x081bd60b, 0x00aa7759, 0x75134d30, 0x4373ad0b, 0x4ba242b5, 0x04bff97e, 0xc65abf1c,
+    0x10d008dc, 0xf1be59f1, 0x97cd03a6, 0xf85140b6, 0xde268dbf, 0xaa99bfef, 0x1b93cd0f, 0x213741ce,
+    0x86df6776, 0xcdcce3a6, 0x7ae672df, 0xc08965bb, 0x17b3f56d, 0xc1647e30, 0x385532a7, 0xea2cd510,
+    0x2cbae0ad, 0x95702456, 0x2c8d0e48, 0x774c37ef, 0x91cc10a4, 0x32503db8, 0x18afb603, 0xa6afefa9,
+    0xa5981371, 0x744f8c33, 0xffdbe6b2, 0x97d4bc04, 0xe3c19042, 0x6e296682, 0x67033eab, 0x23549319,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000081481439053379\
+                         44345073782753637512644205873574663745002544561797417525199053346824733589504 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d,
+    0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404173, 0xc2ce8332, 0x87ef4ee9,
+    0x00000000,
+    0xbcd60e81, 0x67668ac4, 0x35513cd5, 0xcdb5c447, 0x55ac9158, 0x953df145, 0xfaebf002, 0x957e33d7,
+    0x46c7bf2c, 0x013ef5e9, 0x166992df, 0xd0cb4ed0, 0x6c77d18d, 0xcfc50620, 0x503d725d, 0x4b8e034a,
+    0x69d92dcc, 0xf3bcea87, 0x08be29cd, 0x3e956ce8, 0xea6d7ffc, 0x7ba85c40, 0x530abbaf, 0xf242d8fe,
+    0x9003b908, 0xb1771fdd, 0x79bfd441, 0x64098c80, 0x0e04bdc1, 0x135d71f0, 0xd3c5419e, 0x4fe63e76,
+    0x32e0c7a4, 0x85a8201c, 0xd57c6bac, 0x6ce42daf, 0xca0b7ad2, 0x651b65a1, 0x95c5a29f, 0xd95b80d9,
+    0x0208b3f2, 0xb081ab40, 0xa2392c08, 0xa9bf6ffb, 0x43788e12, 0x6e1d3402, 0x88f906bd, 0xf223abac,
+    0x73bf788e, 0x05b60398, 0x12f82552, 0xf090c0f8, 0x31181af5, 0x79b648a9, 0xf862cfc3, 0x8c27bcf7,
+    0x400155fc, 0x7c2ed66d, 0x16ca5bf1, 0x00f76e2e, 0xeee64680, 0xf11eabcc, 0xdea0cf8d, 0xd1cd14c8,
+    0x64c5abc6, 0xb82da06d, 0x39e417f6, 0xf9fe0c9d, 0xb8aa8875, 0x67596e10, 0x91b11605, 0x301b8f68,
+    0x47ac67fc, 0x607df3e8, 0x959f835e, 0x3c7f9f52, 0xdc33f5ed, 0x09ef277d, 0xdcd4d198, 0x3f95f127,
+    0x78fc1936, 0xbc8b97da, 0x5550248d, 0x84d616b2, 0x116fdd62, 0xf8b718e2, 0x276279c7, 0x2260bebe,
+    0x0fc4e5b1, 0x08ae297e, 0x23fbafbd, 0x10f1aa99, 0xe60d730f, 0x004b5a32, 0x4875e84f, 0x3b957e97,
+    0x4bdf6587, 0x2e734bc6, 0xf2588f85, 0x14fab98c, 0x0ebea9cf, 0x03368d0d, 0xc75df05f, 0x6340954e,
+    0x9ba3067f, 0x6dfa6705, 0xb3adfeec, 0xd387db02, 0xd2f67b23, 0x01301e1b, 0x64a197e2, 0x86773fd3,
+    0xc66a72fe, 0x82104330, 0x4b4a38d3, 0xc0ad8768, 0x8eb63b43, 0x645489e6, 0xec28c121, 0x6469306e,
+    0x1172eaf7, 0x141a37c8, 0x26dd1044, 0x1a0a37f1, 0x22ca5062, 0xd68c3562, 0xf1b542f4, 0xe7b177c8,
+    0xbd85763f, 0x1039e4e9, 0xbc77ec24, 0xadeaf3f2, 0x456ff928, 0x8d623f5f, 0x473d908d, 0x44b45e73,
+    0xa77d248a, 0x0b782988, 0x5007033e, 0xe01ffd13, 0xe92abb71, 0xc4a72473, 0x91904c10, 0x86b8f745,
+    0xca27162f, 0x72bd8197, 0xe793d70b, 0x0ef87a0c, 0xdb2e57eb, 0x812d808e, 0x5d272657, 0xccff402b,
+    0x1becd9f8, 0xb81fe877, 0x0a298fdf, 0xdb319d48, 0x1e03c450, 0x3af66d0a, 0x84a5ca4e, 0x37d29458,
+    0xc0fe8ae8, 0xe73ce01a, 0x7edb56fe, 0xac05d4f2, 0x8a1e1e14, 0x439251d9, 0x39aeef67, 0xdcbe74d1,
+    0x192325fb, 0xa50ee088, 0xb1e96c0d, 0x68e4ab96, 0x67225ed0, 0xd107d7b0, 0x7f808cdf, 0x198e2c8f,
+    0x50734043, 0xf86849df, 0xe1ed8e96, 0xfe7f2596, 0x04f2a7b9, 0x9873ae14, 0x3348f6bd, 0xdaba4937,
+    0x2a7bb00f, 0x0f9528bb, 0xc90839c1, 0xfc5769f7, 0x62c00ceb, 0x6c2529b2, 0x49c2736e, 0xefc69278,
+    0xdfcd4f1b, 0xfc65ba1d, 0x140ae67c, 0x95e5d927, 0xe5389753, 0x3304782d, 0x0a30bcae, 0x73ce4ec3,
+    0xfdcca61b, 0x1f70ec7d, 0xa362bbb3, 0x031e7422, 0x0abce55d, 0x74a6a33c, 0x5864232a, 0x6d3972e9,
+    0xf876d9b3, 0x1ae259d0, 0x924f74ff, 0x7c47da7d, 0xa4327d95, 0x37d0c6fb, 0x38c45de5, 0x82245dd7,
+    0x62ce7a26, 0xe4ae095c, 0xa6079628, 0xf4a17099, 0x6921e883, 0xa2c39f90, 0xe9ee6dbc, 0x6e195043,
+    0x21539c5c, 0x572aa3de, 0x2dc4c4be, 0xb39be018, 0xafdf186e, 0xea874142, 0x3722c562, 0xa5fc8c63,
+    0xce334df7, 0xbb0eb315, 0x86b0a9fa, 0x88ee96e0, 0xa3f02851, 0xf2361f7f, 0x8e5a6d40, 0xc485d526,
+    0xb438e129, 0xbec0e1cd, 0x2154cc45, 0x9ac6f45c, 0xda33aa1e, 0xdffcb9fa, 0xf9e814c4, 0xe9138996,
+    0xa910285b, 0xec83bd8a, 0x762db0c1, 0x89ca95e5, 0xbcc6ade8, 0x60874944, 0x153b54bb, 0x58e0a15d,
+    0x397ba108, 0x51c71463, 0x75e737dc, 0xde5facd2, 0x8f5691c5, 0x9391a9be, 0x10285882, 0x3dfa5f6a,
+    0xb2f28565, 0x85302a0e, 0x6d64f09a, 0xd313c25d, 0x65997897, 0xf3f1c635, 0xe3cf73dd, 0x86826414,
+    0xbb69dce9, 0xebeb964b, 0xf413715d, 0x2fec1638, 0x0fbf6097, 0x8879cc7a, 0x0c4d7814, 0x0557019f,
+    0x5ce62b28, 0xd1cf10ff, 0x3f88bd5e, 0x71e0ef8b, 0x40c8c6e1, 0x7df9e76b, 0x94385536, 0x5d24a844,
+    0xa3c6b4e3, 0xebd67b37, 0xb989cbf7, 0x2cca1517, 0xc1a20bfc, 0x9be88056, 0x398efb07, 0xbf08261c,
+    0x6e607129, 0x699eb4af, 0x6cffc7bd, 0x7a946c0f, 0x70a66946, 0xaf819846, 0xcca32281, 0xbe123d31,
+    0x2da3ca05, 0x22ca720c, 0x4a8192a7, 0x3794a47b, 0x8ce304eb, 0x23d21d80, 0x59ef6086, 0x68795e7d,
+    0x8511db42, 0x0ab1a323, 0x54aa6539, 0xa963d7c8, 0x864a59ee, 0x16d323c3, 0xc48e3b63, 0xf2f0b82e,
+    0xcbe3997a, 0xeb24db66, 0x40f71972, 0xee769fe9, 0x38f84d43, 0x523c9a3a, 0x688acff8, 0x9ecbddbe,
+    0x84de8746, 0xb2c98ae9, 0x7e42cbf7, 0x59f7bfc6, 0xe605ca23, 0xb85e24af, 0x5a762839, 0x67121f2b,
+    0x9dd6d4d8, 0x42605770, 0x0b283005, 0x74c171fe, 0xd6060e92, 0xf9b10f86, 0x050ef2c3, 0xa25fa6b0,
+    0xa0645e60, 0xdf87fc3b, 0x400d63d2, 0x3427e728, 0x0c351f93, 0x5f37bfee, 0x78386826, 0x8e249257,
+    0x0bda2d3f, 0x8567ccfe, 0x30bb420b, 0x00e9cc0b, 0xd3da3ac9, 0xa6656044, 0xcb764795, 0x55d18163,
+    0x53568fe6, 0x3e98fe2a, 0xb45d854f, 0x42ee191f, 0x4b6f2a7f, 0xe0d5f941, 0x3644da63, 0x53a5ed06,
+    0x25c82e4f, 0x9bd34707, 0xdebabafd, 0xb2fce82e, 0x0e241ad1, 0x81fc4ceb, 0x17fca0e8, 0xdf3c5875,
+    0xf6d37c49, 0xb17fd87f, 0x8ae23248, 0x793fa374, 0x36bad04f, 0x536f0c08, 0x12720935, 0x36efb58c,
+    0x24b1c93a, 0x111f2ca5, 0x4b3e18f8, 0xb46d47d1, 0xe8dad395, 0xd0be6c64, 0xdcbd3dfb, 0x92add5f7,
+    0xb13bb92d, 0xf1fd352d, 0xa032e1c2, 0xef54e27e, 0x4e871506, 0xf083d62b, 0x2a5aa75c, 0x6bb63764,
+    0x45ac48fb, 0x41860875, 0x47513305, 0x68934dbf, 0x97c1ed83, 0x5a563005, 0x827de6b6, 0xa3a9019a,
+    0x52c56742, 0x208f9400, 0x7f5747b5, 0x90662258, 0xef37d8fb, 0xb7c508bf, 0xca5577b0, 0xfb078a72,
+    0xd205e3fe, 0x94849d54, 0xe8c6131d, 0x733cf5a3, 0xa3509daa, 0x4710cddc, 0x389ad2b0, 0xae2179b0,
+    0x623d7b39, 0x877e3a25, 0x52532b06, 0x12df2e44, 0x14e89928, 0x36abd302, 0xeba38272, 0x687e7bd1,
+    0xdd940c2b, 0x3bf2a7ee, 0x396e5102, 0x37b6e483, 0x200c052e, 0xb87e3750, 0x16076e82, 0xdb133651,
+    0x5f23a4c5, 0x9dd65bb3, 0xd498f586, 0xe4a06436, 0x143ab91f, 0x1afbdda3, 0xefe5614b, 0xbfc233e5,
+    0x2f4f1761, 0xabdf167e, 0x8c257202, 0x975c386f, 0x92df8dd4, 0x2ca64edf, 0x26da1f7b, 0x59dd8d27,
+    0xe4ab9023, 0x70b34739, 0x6983d8f9, 0xf27ac233, 0x508ff1d1, 0xa79946ae, 0x54d04524, 0x08e6be8e,
+    0x65127464, 0x5c9d96ab, 0xe85dbbe9, 0x7894815b, 0x49c10117, 0x8b781c7f, 0x2ed79b4f, 0x1c307ce4,
+    0x8384ad82, 0xbb581f33, 0xcf28e5b1, 0x7a051495, 0xb3e8b57e, 0x469692de, 0x1bcde719, 0xecc92ce5,
+    0x83e41b5c, 0x3a6d2ffc, 0x72bffa00, 0x0f9a1217, 0xf1949c40, 0xd531b511, 0xfe988526, 0x06f6e921,
+    0xbaab47c9, 0xe808c3f7, 0xb3b2e29d, 0x5fbed97e, 0x61bb2327, 0x25fb764d, 0xa9697e03, 0x95f5e2d0,
+    0xb79c75e6, 0xcc277b4a, 0xff6d23a7, 0x8cf93d5d, 0x8fed29a7, 0x33039acf, 0x7b16e697, 0x03fc43ef,
+    0xdf3b1163, 0x7e937792, 0x84720b1b, 0xa0696bf7, 0x4b4bf7f1, 0xa8d9e9c8, 0xc1b3cf99, 0x6e01aa97,
+    0x61c4b3c1, 0x845f9f18, 0x50db7a06, 0x7dea56af, 0x00787a93, 0x9a0a79fb, 0x0287be60, 0x4315b681,
+    0xd93909bd, 0xd3ff7ba5, 0x842d4474, 0xbc9739b1, 0xe9f250e0, 0x33ec19bc, 0x292da37d, 0x2f32cfe6,
+    0xb0d01262, 0x8097770c, 0xfa758308, 0x1ee31aa0, 0xdab487a8, 0xa8fda23c, 0xd0c94a06, 0x7d35ee3b,
+    0x1252d93f, 0x27b6cc15, 0x041714ed, 0x06908dbe, 0x45672b76, 0x5edd2914, 0xeec601d1, 0xc4d777fc,
+    0x873501dd, 0x71ec33ff, 0x0a01c22d, 0xeac78d20, 0xfd9941cd, 0xcf09fc87, 0x71708a54, 0xaf9960bb,
+    0xc5b53ea2, 0xbf5a64e8, 0xb4c4dd43, 0xc59b82a1, 0x5b230c01, 0x92cb84ed, 0x87491f19, 0x8b197f35,
+    0xb2a89ad5, 0xffb46262, 0x0b6dfdcd, 0xc15157c0, 0x0fd6a435, 0x1d51e1a7, 0x51551942, 0x4c575d89,
+    0x59a87b2b, 0xd2e4ed57, 0xb7d6d2a0, 0x2ef26582, 0xd2313e05, 0x3200602d, 0x9682f394, 0xcae30eb8,
+    0xe9e8c366, 0x0343a899, 0x83352cb7, 0xf7e1164a, 0x4fde714d, 0x1a7014d9, 0x2755c9e5, 0x1c000f67,
+    0x31850d9e, 0x44b7ff45, 0x51e8decf, 0xd8d3555f, 0xfdd80b4b, 0xfe9baf0d, 0x7610c419, 0x0468b491,
+    0x4bdcdb82, 0xb2858553, 0xecd3c8ef, 0x69a02a1a, 0x81698a15, 0x99ec2d08, 0xe5bade03, 0xdf5951fd,
+    0x6e31de62, 0xc0a95e3b, 0xc67beadd, 0xe8319ec1, 0xe56fea55, 0x7d2d48e7, 0x643337cc, 0xbb4f2df3,
+    0x421749c6, 0x9c8da291, 0xfd8a4d41, 0x71fbdd4d, 0xc6c03f1d, 0xb503587e, 0xe2735f79, 0x1e51aa85,
+    0xb81f25f3, 0x113069fe, 0x9855f258, 0xbbaa992d, 0xe7afb09c, 0x4f7168e9, 0xcd8406b9, 0x204bfa26,
+    0x37b61b27, 0xcd9713e5, 0x9e251543, 0x191918f7, 0x76674141, 0x3c439edf, 0xa2e17d24, 0xdad3915b,
+    0x5e0b9eca, 0xa733ee04, 0x9e481202, 0x02eaa3ab, 0x53ac1a6b, 0xb4b87c4a, 0x4fbb3764, 0xc9aa7e53,
+    0x1d1e5db2, 0xdd3d5c9b, 0x06a5cf5e, 0x7c08f987, 0x3fb50957, 0xc247f687, 0x97dfa6d6, 0x32edbc21,
+    0x346ca63e, 0xa335b9ff, 0x94f1cb3e, 0x80a83206, 0x30a3404c, 0x79095d71, 0x1bab0e90, 0x4d700c81,
+    0xdc0b22e1, 0x67b48f07, 0x7ba24b3e, 0x9918f062, 0xd7b96f4e, 0xd7b6809b, 0x96dfd58f, 0x3aadcf83,
+    0x32ec96c1, 0x735db60f, 0x818b6f04, 0xfe7edfbf, 0x0dc3ede8, 0x85648b8f, 0x76fb4eaa, 0x926c1892,
+    0xa37b0baf, 0x69ee5207, 0x06a41661, 0x2d9812de, 0x8ee6f762, 0x31cb1864, 0x6a3fdf29, 0x371fae34,
+    0x395ae2d1, 0x13b8896c, 0xda2265b8, 0xaaacf2bf, 0x8bf71bcf, 0x66bc8e28, 0xca67b9f5, 0x3585da26,
+    0x04a70795, 0xe387cc75, 0xdbfda6e8, 0x9ee4b531, 0xf7331243, 0xce567148, 0x1cbccba2, 0xe91cfe94,
+    0xd56e8e9a, 0x17db990e, 0xbc6327a1, 0x0ed92582, 0x7dc86a04, 0x5d475cfa, 0x36ca6c7f, 0x18d53630,
+    0x50666181, 0x3172113e, 0x1adb2b4f, 0x016ba078, 0x71e137f1, 0xac04dc20, 0x16089834, 0x4bb9505c,
+    0xf2440e78, 0x49d0911d, 0xc436214e, 0xa710088c, 0x27af2107, 0x21507615, 0x5af9f537, 0xb56f8241,
+    0x296370c1, 0x516b5727, 0x653be00a, 0x797efee2, 0x34804bed, 0x7ae759b2, 0xb7de3251, 0x5f852169,
+    0x9cfbc515, 0x9fc4aea9, 0x7d5ccbdd, 0x0f808e1f, 0xdabe9bed, 0x22f79635, 0xfdb823b9, 0x25d5c9d3,
+    0xcdb99ce2, 0xa6cf5838, 0x70b28fed, 0xada8d582, 0xdd5e8452, 0xd1e9eb9e, 0x7e348795, 0x39958b49,
+    0xcfd79337, 0xdae8e886, 0x401c749d, 0x2d826603, 0x34ce4f62, 0xfc95d980, 0x83029886, 0x7196cb49,
+    0xaac395dd, 0x5bd95021, 0xfc3c0b87, 0x6208f5ce, 0x1622a6fb, 0xaed61b3c, 0xfd6cdc63, 0x2591e030,
+    0xc95e986f, 0x6a003eab, 0x88b697b0, 0xb061e3d2, 0x247f99ba, 0x82520e0c, 0x17e44ab1, 0x9337737d,
+    0xf5ed6391, 0x8366c4fc, 0xf666d4eb, 0x66735e1c, 0x9747d2e8, 0x793ed403, 0xabb9130e, 0xd5d7c0f4,
+    0x637e1a45, 0xe8106002, 0xd046c224, 0xadbbb2e5, 0x511641c1, 0x14bea194, 0x44cef05c, 0x9d62077b,
+    0x9a772a30, 0x7c5e001e, 0xfb2d8c33, 0xd573ad6c, 0x2459b2a6, 0x2e17f280, 0xc5a50f2a, 0xebb5c466,
+    0x97a52860, 0x95e0f70e, 0xa7877f8c, 0xa9322bab, 0xb1a1e954, 0x34c4266d, 0xbdfe9f9a, 0xc6fe9d21,
+    0xfcb771dc, 0xbcb871ad, 0xb76580c1, 0xad809ea7, 0x38a2eb54, 0x6c0d20c6, 0xd23e9394, 0xe71e1d96,
+    0x43af692a, 0x6d0ceef8, 0xf35f2651, 0x9ae89e16, 0x02ba2076, 0x9d2f123e, 0xa3d3bef0, 0x75dff168,
+    0xd9d6f54f, 0xe4fd6da0, 0xd47a07c3, 0xd0651166, 0x3d0f6e4c, 0x4d4026db, 0x91eca972, 0x36dcdfe4,
+    0x4045a22f, 0xf3701d1b, 0x1583f77c, 0x12a72713, 0x147bf7c9, 0xb3f9c301, 0x90bc5751, 0xe731fc99,
+    0xb20b0eb4, 0x6fc78fa5, 0x99cb2e90, 0x696313d8, 0x4d383def, 0x92c7d032, 0x80ab6320, 0xfe558edb,
+    0x41264e25, 0xbda825ce, 0x9c0e102e, 0xe2587232, 0x70328f4f, 0x5a16ef03, 0xa5063fab, 0x67b6ac22,
+    0x308408cd, 0x902029c9, 0x73a610ea, 0x6f726d73, 0x02bc9deb, 0xfd599c48, 0x46e746cc, 0xf16d0451,
+    0xbab9053e, 0xbd4d3ea8, 0xf8a9d8b8, 0xe0e1ae54, 0x30b4f01b, 0xf620acec, 0xed4d6288, 0x29e70024,
+    0xae1bf366, 0xe91730d1, 0x09ba1265, 0x89719405, 0xd110fa23, 0xbb501507, 0x4ede9d99, 0xd6d942ec,
+    0xec9ad4be, 0x0ead8189, 0x86050156, 0xe4b2a9ea, 0xe8670c0c, 0xa8f95681, 0x8e97c53e, 0xbe797f40,
+    0xec5626b2, 0xa27c56f7, 0x1bfbd378, 0x555edfaf, 0x9b639b52, 0x5ca6e3fd, 0x1ef2f6ad, 0xf3a8ee6e,
+    0xd6ef6418, 0x84e90788, 0xfacb6ebd, 0x80a4f434, 0xccda74b1, 0x9a38b96e, 0xcbeb38d1, 0xf171e603,
+    0xa1616486, 0xea128858, 0xa8aca5f1, 0x273016e4, 0x4335ef14, 0x3375f12a, 0x1973c8cf, 0xc75b0668,
+    0xf24cf838, 0xd898d06e, 0x866b617b, 0xeddc2b67, 0x29b7ab3e, 0xe2d450ee, 0xa77593b5, 0x7fbc3d69,
+    0xe3e7e073, 0xdabe332c, 0x84e79de4, 0xb6c5cada, 0x18f92c77, 0x4dba9c38, 0x2e658bd0, 0x88a0c062,
+    0x124cd36b, 0x891482e1, 0x7c80b46c, 0xe8b7825a, 0x8900206c, 0x17d407f1, 0x7004fef6, 0x55b41511,
+    0x812d88aa, 0xf3614275, 0xc2398aec, 0xc1144984, 0x19e57066, 0x38e1154c, 0xd5edaaa8, 0x6c82cd9c,
+    0x6156102b, 0x6168ee5f, 0x3ed3751e, 0xad4c7d44, 0xa627ba36, 0x1a3b01e3, 0x7e83e774, 0x6159f991,
+    0xc0cf544e, 0x088d9d34, 0x79f51771, 0xf9cfa117, 0x8a1772fe, 0x022c2c53, 0xe897a85b, 0x4c9135a1,
+    0x3f1a83dc, 0x1192c5b1, 0xfa7f36b8, 0xf95ed4af, 0x17b837ac, 0xadd6f560, 0x41a4d0c0, 0x2a8d5927,
+    0xafa8eab4, 0x01ab6d0d, 0xd9db8d69, 0x3229d4c8, 0x70a6cde0, 0xbc729aa2, 0x5d2049c5, 0x91ac68f3,
+    0x32514bfa, 0x6d93f444, 0x7b31a4d9, 0x2d243507, 0xd4df7a2d, 0x5e6f0a62, 0x0e765bf6, 0xe1fc6858,
+    0x0df43ba8, 0xe7f0c882, 0x1e2e55c0, 0x24074fd3, 0xfeac7f54, 0x7e329c53, 0x1274e642, 0x5b7a72d0,
+    0xd257f506, 0xd4d72e64, 0x28a3255a, 0x9d4b724d, 0x18ac51f9, 0x06a410ee, 0xa440a865, 0x3172fbcc,
+    0x47d9d3fc, 0xcd3f864a, 0x64f69d0f, 0x1d216f59, 0x5b45f61d, 0x40672b7f, 0xd040a646, 0x3f962596,
+    0xdf2b496b, 0x68d91603, 0x1484716e, 0xfc37935e, 0xb31d22ca, 0x71d976a1, 0x832ba770, 0x741dc657,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000040740719526689\
+                         72172536891376818756322102936787331872501272280898708762599526673412366794752 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346,
+    0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b9, 0xe1674199, 0x43f7a774,
+    0x00000000,
+    0x9b786890, 0x1bfc63d8, 0x4f1182e7, 0xc2ec5714, 0xad95a3fb, 0x702364eb, 0x8710d73c, 0x057cd675,
+    0x1d63e1f9, 0x5d2fb6b3, 0xa565199b, 0x59f1753e, 0xe570bfdb, 0x4fa9b45c, 0xe60bc0ec, 0x019ea8ca,
+    0x1c38bad7, 0x95128c3e, 0xfce07d42, 0x32ae61f3, 0xb862519e, 0xae00e589, 0x729f6cdc, 0xd3188e40,
+    0xffa093a4, 0x7221c9ea, 0xdacb89d3, 0x99a3c333, 0x6dbcb14a, 0x9e3f9aff, 0xf34578bb, 0xeeec58df,
+    0x5f5c99cb, 0x9c1bfd6b, 0x19a331f4, 0xf998c906, 0x6dc49e14, 0x27e341ce, 0xba07fe3e, 0xb2ca8399,
+    0xf7361c0c, 0xf3ec0cc2, 0x930984f3, 0x94b33138, 0x871f2d10, 0x809c4441, 0x889e9745, 0x32e4d428,
+    0x49de1948, 0x16648e46, 0xef77a777, 0xdc202762, 0x733fe2ff, 0xcc9e94cf, 0x2a39cb4e, 0x8703482f,
+    0x075191b3, 0x39ccb7bc, 0x27526427, 0x692a863e, 0xebdb8441, 0x203f7bbb, 0xa19ef418, 0x27fdae9c,
+    0x6d225163, 0x792e8106, 0x18356950, 0x4f6c0bac, 0x046bcb85, 0x650dc263, 0xf765aa86, 0x64782022,
+    0x4adbbce1, 0x695677be, 0x5a8ac376, 0x6df768ee, 0x05faa325, 0x7096ec59, 0xa29d6517, 0x78854856,
+    0x382f6fbd, 0xe6eb546d, 0xb87eeda1, 0x4542382e, 0x49a84f8e, 0xc720d18e, 0x51e5c58c, 0xc78edadf,
+    0xfbd08f56, 0x02d17252, 0x56f2dfef, 0xd70601d6, 0x2629855e, 0x5c5c5a2f, 0xbee85772, 0xef4a4071,
+    0x12297078, 0xefaaa16c, 0x86bc3387, 0x5769c75d, 0xaeb654e8, 0xf9671e24, 0x0a63eb4e, 0x091f96fb,
+    0xa440616c, 0x5796d7ca, 0xf8345498, 0x25ae2636, 0x85076761, 0xc73fbbfa, 0x500b64fa, 0x9f9b170a,
+    0x6f7957aa, 0xc766fa62, 0x1b654194, 0x65f1da59, 0xb6499821, 0xaa470200, 0xe9737446, 0x9e3715ea,
+    0x59952c8e, 0x855ac857, 0x9aa0526e, 0x0af7bd95, 0xc72f939f, 0x907acd8f, 0x294eb458, 0x3ede3152,
+    0x86156473, 0x45b27030, 0x5467a7a1, 0x32b7f2c0, 0xd80a67a6, 0xc42420d6, 0x90832766, 0xade4cb05,
+    0xd88601b6, 0xc7c6fec5, 0x6235806a, 0x333babd4, 0xf504023e, 0x9cbd4177, 0x5b00625e, 0xd2e66c43,
+    0x65cacb9d, 0xe44596fb, 0xd2a5bfa7, 0x213024e4, 0xe2a6949f, 0x9e79d60a, 0x0c6e1012, 0xc2be6416,
+    0xede9e6d7, 0x1981b942, 0x2899dea9, 0x87713459, 0x5f05a3c6, 0x157e873b, 0x8d510976, 0xdee52f4f,
+    0x19d6f8c5, 0xb7a0976a, 0xb88118b8, 0x61bd18f7, 0x08752062, 0x5dd84b70, 0x5351bc9b, 0x011fedc2,
+    0xc91f605c, 0x16f99b1c, 0x74f76b6f, 0x6d103f4f, 0x4af58d35, 0x82a735ef, 0xc8435c86, 0x0b134396,
+    0x3fd267a3, 0x005722e2, 0x18564fcb, 0xbb573164, 0x40135513, 0x775ea563, 0x027acf1f, 0xaedb271b,
+    0x4f5a1072, 0x34de3112, 0x5633b449, 0x39600ae5, 0x37aaaaed, 0x3291202f, 0xd72cc825, 0xfaee0615,
+    0x1852b27d, 0x0979027f, 0x217e1c2c, 0x007a7a55, 0x15a846d6, 0x51693976, 0xe1cb37d5, 0x1ff6eed7,
+    0xb07f8bfd, 0x35d87f5f, 0x533e80be, 0x857b685d, 0xd68ff130, 0x0efba0fd, 0x65071471, 0xa5e9ab27,
+    0xb373fa16, 0x822f51c4, 0xe8a16807, 0xf3a12af7, 0xc22287db, 0x21b9c546, 0x5f8be924, 0xcd28801e,
+    0xb3c04db5, 0x5edbfe8b, 0xc660d32d, 0x81cff07b, 0x34fb5440, 0x2304e652, 0xbae7bb33, 0x8f352deb,
+    0x5267f760, 0x5be7261f, 0x6c3a060d, 0xa187eb7d, 0x6a60233c, 0xf0f1b785, 0x8863edcd, 0x15786ba2,
+    0xa88a05f7, 0x3d65bcbd, 0x3062dfee, 0x3c2aa47a, 0x0ff709ed, 0xbee38a11, 0x9f661d5e, 0x928d4a6d,
+    0x8542ea7b, 0x73a1b06e, 0xf9a9a630, 0xc0afb4b1, 0x1cdc010a, 0x5de28846, 0x896f1999, 0x57e9106c,
+    0xdf39f0b0, 0xcbab3287, 0x65474776, 0x1ae40b4d, 0x0f465d48, 0x810b79d3, 0x5d556ce5, 0xed8029b7,
+    0x3b518900, 0x3e5976f0, 0x638e3aae, 0xba27737e, 0x739f32b8, 0x8a7a6bb1, 0x4262325f, 0x37ce48ca,
+    0xbc40f80d, 0x70a1ad67, 0xc648c94e, 0x6bf2ff81, 0xdf71c94c, 0xd24e0967, 0x7aa77cb3, 0xcc4e2c48,
+    0x05cce87d, 0x3ffed5af, 0xf7731c05, 0x96ac4f74, 0xaceb7761, 0x1298a5bc, 0xba38dbbf, 0x22a970ed,
+    0xe1225c11, 0x8f938c15, 0x58286068, 0x49739419, 0xf73b8d6b, 0x2a48401f, 0xc2473c2b, 0xdfc5496c,
+    0xcfd652e0, 0xb7a3f75f, 0x1794b257, 0x0373aedd, 0xe5a25947, 0x658af0b5, 0xb2d85ad9, 0x0d591a6e,
+    0xb691eb19, 0x63de71bd, 0x37fcb136, 0xbfcbf1f9, 0xf930af51, 0xe5e11b2f, 0x4815980d, 0x751bc4bf,
+    0xbfb35dc0, 0x12b82960, 0x93ecd3da, 0x3fa8916f, 0x4e71271e, 0xd8856854, 0xdc743208, 0x800a6c85,
+    0x937d240c, 0x84fa3696, 0xf63518dc, 0x2ce51892, 0xe4343b0b, 0xffb20838, 0xd1c1e6a5, 0x317c3663,
+    0x68af8c20, 0xcc204ee0, 0x34bc81d9, 0x059e2a61, 0x4479829e, 0x19319bb1, 0x61d61cf3, 0x7ec46126,
+    0x6f866b82, 0xb8942d07, 0x3688af51, 0xa79437fb, 0x6d32ff08, 0xc9e815ca, 0x7bb54458, 0x2dcb8d1d,
+    0xa53aa4d5, 0xe901aae4, 0xd5e3b69b, 0xcba9b8e0, 0x35847b8a, 0xd707faff, 0xe91b63d3, 0x35aad976,
+    0x3f91a018, 0x4192c583, 0x32965eaa, 0xe9c5db7e, 0x2744590a, 0x7b10a01d, 0x0b783f08, 0x9713ffd6,
+    0x7a1ffeac, 0x773c6848, 0xce45e006, 0x7ab3be00, 0xce56f4e7, 0xb3b2ba80, 0xffa97a10, 0x715b5c15,
+    0x19f4e870, 0xeac7b164, 0x45759945, 0x1acb3943, 0x33de4307, 0x7bf84160, 0xcbf11273, 0x8068a172,
+    0x210bc7b8, 0xff8d789b, 0x3f871276, 0x26c6591e, 0xb8adbe08, 0x1efe6f02, 0xc627e058, 0x03b992d1,
+    0x3f777556, 0x59cded4e, 0xaf34cbab, 0x8aca9963, 0x2688bf6d, 0xc883b293, 0x45e04a06, 0xeaf04cc0,
+    0x30e5c6a3, 0x465ca22a, 0xf4b4d569, 0xb5b86511, 0x42a28a5f, 0x6dade1f3, 0x58e8f2ab, 0x633dab6c,
+    0xbb11b659, 0x87615a23, 0x5a62aa77, 0x2969792f, 0x26386902, 0x46409607, 0xa76604de, 0x11c27e7e,
+    0x7959ec3e, 0x907f021d, 0xe4b91faf, 0x6d909293, 0xe20eb1ad, 0xe03e1879, 0xdac7fc44, 0x18768b09,
+    0x9b856ba1, 0x28e9b67f, 0x380d2a8c, 0xfe0b34aa, 0xa9ccf80a, 0x76480c2c, 0xf1c30a43, 0x55755cf7,
+    0x539086cf, 0xd7479e98, 0x7093fd11, 0x397ac155, 0xa92c5ff4, 0xa1fb39b1, 0x342185bc, 0xf3826b2a,
+    0x76d458c9, 0x058798c6, 0x9a1f5311, 0xfbd11cb7, 0x62aaa607, 0xa4827aff, 0xa557470c, 0x3cd4da43,
+    0x6f8adfb9, 0x8f2ed6ca, 0xe29134f5, 0x9bd99932, 0x438a4824, 0x4f2fb534, 0x8cfba802, 0xdcb1a851,
+    0x50273ec5, 0x32c4839e, 0x8d858b66, 0xdf51281c, 0x95a14578, 0xf1718cbf, 0xcc5ba429, 0x44f09496,
+    0xa52835e2, 0x5c31f5bd, 0x6e6eae5a, 0x92481121, 0x5e22e48c, 0xd66a735a, 0xb70b3b6b, 0xd64200f3,
+    0xf7f22eee, 0x0e0f8dd9, 0x70ad388b, 0xbc08955c, 0xca73e35d, 0xc1905de8, 0x27ecac31, 0xbc704c3f,
+    0x735e26e3, 0xde6afa9b, 0xa67c01c8, 0x59c2d819, 0x9326f8a1, 0x3a7abd44, 0xb7abdcf4, 0x2f98ae26,
+    0xc5eb6ba0, 0x11c20817, 0x3321e82f, 0x0cb4b1df, 0xecec2960, 0x1c3cdf93, 0x57b545a3, 0xac3a0481,
+    0xfb14182c, 0xd446639d, 0x5c66d3ad, 0xfc967a6b, 0xb8790423, 0x81f7bcf7, 0xd0d5bf88, 0xe3245ce7,
+    0x4b1cf51a, 0x7d21e7bc, 0xef9f1476, 0xcb0d90a7, 0xed2b60c2, 0xe0906bcf, 0x4f041f95, 0xa67ca911,
+    0x080c640f, 0x82c8d878, 0x98fb52a1, 0x110f61f4, 0x2a9dc174, 0x1df7efb4, 0x6ff26a62, 0x152bae8b,
+    0x838d7529, 0xcd38e7e0, 0x7a935ca1, 0x8cdc0c05, 0x4bce8105, 0xc26e1eda, 0xcec06035, 0x66809b88,
+    0x5b7932be, 0x0ecbfb16, 0xbe3a06fa, 0x88c4e196, 0x989b5ff8, 0x19bcf385, 0x4c217172, 0xadc31c6c,
+    0x78493c73, 0xbc0e1842, 0x496ff44f, 0xb5c0b325, 0x75aab23a, 0xdf03ae02, 0x7222bb72, 0xcaf74866,
+    0x43a088ff, 0x04d1f0c7, 0xb668ed8b, 0x5a7da41b, 0xcfdb05cb, 0xc3aa943f, 0x37eb61c6, 0xc0ee8881,
+    0x82ebd009, 0x058d4861, 0xa6d409bc, 0x082eca3b, 0x059b89d6, 0x5547238e, 0xeb34f5dc, 0xff9ee970,
+    0x8366fa68, 0x56678e81, 0x2ac7583a, 0xe523c7ed, 0xa1481c92, 0xae5df397, 0xe08f20a0, 0x1be1a5f7,
+    0x830cef93, 0xbb728a06, 0x9b16f6c4, 0xb26c40ec, 0x1c3b3fd3, 0xbb321985, 0x63a445da, 0x4b776761,
+    0xfce3a8c6, 0xb7e35a2f, 0x651ad6ab, 0xf7c450d3, 0xc8d4b16d, 0x80328a51, 0xe51fa73b, 0x063122a1,
+    0xa92fa4e7, 0x2a139d7a, 0xfa7c2b9a, 0xd3dce73a, 0xd53deb71, 0x82d37b87, 0x874d6852, 0x8f3b39d3,
+    0x193b8729, 0x03279122, 0x06b79f50, 0x1f158e35, 0x1e0cc41e, 0xae62d603, 0x0e7825da, 0xe859387c,
+    0xb0dbdcc2, 0xaa97adb7, 0x5f28f0c2, 0x00fa6a9b, 0x10ce03a6, 0xf63e1d63, 0xe0ed21fa, 0xb2e39738,
+    0xb3a346bf, 0x744d4669, 0xcba4a238, 0xfdbc386f, 0x89519898, 0xac225bc6, 0xe53f5290, 0xc5e9c737,
+    0xe59bf07f, 0x557e2d5d, 0x6dffed25, 0xa0f7851c, 0x46c59a7b, 0x99b61dd8, 0x40d57591, 0x013c24d7,
+    0x31cb59fa, 0x8ee569b9, 0xdb62bc47, 0xad2a59c9, 0x21cd84ff, 0x514c3225, 0xcb202a60, 0xf1b3d64e,
+    0x77d4285b, 0x7cfc64b8, 0x05142a5e, 0x6df781a9, 0x4bcb507e, 0x8f991bb9, 0x6279ca07, 0xdd3bbbc6,
+    0x7bd5e5ed, 0x81d67973, 0xbbe1a6c6, 0xe704ce43, 0x05561ff0, 0x9ee3af65, 0x40657cb7, 0xdc79ccfe,
+    0xc8405c59, 0x4d6a197f, 0xf8eaa5d0, 0x687b8479, 0x40bee679, 0xac6b0402, 0x5c852fcd, 0x7d720f5b,
+    0xb533db88, 0xd38f603a, 0x7d33f682, 0x917a0cb4, 0xb65e5b6f, 0x9c8bab3c, 0x1f539fa1, 0x581d2ecd,
+    0x253c5917, 0xd8218966, 0x722c90e5, 0x30e339a7, 0xf984bf60, 0x446edf11, 0x97a4eb42, 0x8e596b86,
+    0xe3bcf81f, 0x9b9daf41, 0x60c7f67a, 0x4ddec0b6, 0x5b2eb94e, 0xf310d0ee, 0x3e49072a, 0x673e0e51,
+    0x81a0a8e3, 0xc31481ca, 0x73cf3846, 0x849fe778, 0x021d2b0b, 0x9741b556, 0x98373bb8, 0x45dda16f,
+    0x7fff4a4e, 0x9c00fe0f, 0xc08905a5, 0x4e5f89b9, 0x67a7de5c, 0x5f28061e, 0x8d57531b, 0x85cb13f7,
+    0x06b513a7, 0x7d6ddeee, 0x1d8d3f62, 0x645a0a42, 0x4a932fec, 0x39b4f665, 0xd776b1ff, 0x0a738c11,
+    0xd55711c9, 0x36ac6a2b, 0xd48192f4, 0x312ae1d6, 0xd453c8d7, 0x770c3706, 0x176f3ede, 0xaeff4281,
+    0xbd737a89, 0xf835eec0, 0x1adac6e0, 0xeb61112c, 0xed588bad, 0xca6e8dfd, 0x92327f45, 0x9dbd2389,
+    0xc2cad18b, 0x1113f6d2, 0x6f5042a9, 0x1ae7f28f, 0x138451f2, 0x041b39cb, 0x6fadc07f, 0xf32694ce,
+    0xc55dfd24, 0xb6f0eb40, 0x00d8e4df, 0x49fe244c, 0x6852b815, 0xec86ee25, 0xa56830f2, 0x9b4056fe,
+    0xb8a1e588, 0x1fbbd5fa, 0x40a637e2, 0x1b63a195, 0xa6271a9f, 0xaced74cd, 0x57441f6e, 0xb5e8e83e,
+    0x7ead704a, 0x3f6c586e, 0xcc96052d, 0xe6b6ae3a, 0x04cbbd66, 0x33f7a816, 0x609aa8c0, 0x89d9b334,
+    0x5675ec89, 0x4784d099, 0xae3229cf, 0xd4bdb01e, 0x4946be53, 0x516a92cf, 0xc3dfeb82, 0x6c30a59a,
+    0x5dd3ba62, 0x351d7396, 0x73e9278c, 0xe215c3fc, 0xa29fb40e, 0x6db42251, 0xd4e908b2, 0x7842c083,
+    0xcd682adb, 0x46b40945, 0x22bdda98, 0xf680a152, 0x30e2204b, 0xfc115e9b, 0xd6abdffd, 0x7a91a76a,
+    0x5f3f0313, 0x278394f7, 0xcb0b165f, 0x3d5b9aef, 0x6018171c, 0x0fd0b3ad, 0x811782c0, 0xf002ac3c,
+    0xa778b5ab, 0x06835abf, 0xf14cd9a7, 0x692a680d, 0xa6fc51a1, 0x1c56cd81, 0x55d258ec, 0x0975e63e,
+    0x467f1430, 0x86baf97a, 0x0f54186e, 0xd5f6ecdd, 0x991aafa9, 0x93a19364, 0xe42f9ff7, 0x3c9f858a,
+    0xc8c04390, 0x0510269d, 0x8b8b42df, 0xac1e5eb2, 0x26b01b12, 0xf51eafc1, 0xd1234370, 0x83f4ce03,
+    0x4418212e, 0x6acf3bb3, 0x62e19dc2, 0x0d4ac830, 0x6189c558, 0xe90f5f1e, 0x72c99bbb, 0x1f588be3,
+    0x75bd40dc, 0x8ef7f68f, 0x23136bec, 0xca190e2e, 0x46340e70, 0x87218eb2, 0xd90ce164, 0x2cfc335b,
+    0x65f2cdf9, 0xe9f0697c, 0x26a89a62, 0xe40fc369, 0x78e9d56a, 0x32c4d2fc, 0x1a092874, 0x19541302,
+    0x87cdc603, 0x18999040, 0xb6f4f965, 0x527c80a6, 0x3a6c200d, 0x99f3a576, 0x62bdad40, 0x7cc59a29,
+    0x493240a9, 0xba181de2, 0x1fd1483a, 0x420b5723, 0x407d5a4b, 0x966e76cc, 0xa86b6093, 0xb57093ca,
+    0x4f916c4c, 0x6f342813, 0xc8b1af53, 0x98fe9d3d, 0x3955c22c, 0x50716d4e, 0x18315877, 0x3a55475e,
+    0xa4b376c9, 0xc39dc52c, 0x3f8e3d11, 0x4e906151, 0x22418ae3, 0x29ee07e3, 0x8f5333c5, 0x24c7dfbc,
+    0xdd92c480, 0x9b734a79, 0xa40a41cf, 0x56d47e62, 0x08d65d71, 0x93963f5e, 0xb3b6a4f0, 0x54d87e9a,
+    0xe9d631a5, 0xef64de15, 0x5092a9c4, 0xd97a759a, 0x3822d07b, 0x20d22d02, 0xea4bcd41, 0x0a5f2810,
+    0x00b8fb81, 0x4ff60cfc, 0x6292a84c, 0x9d74f05d, 0x05d9d7a7, 0x05bdd8ec, 0xb11e608e, 0x8917075d,
+    0x48b1f76a, 0x507ab075, 0xb4456ae2, 0x79843f18, 0x7ad70224, 0x339cd7ae, 0xba866ae9, 0x2394bbfe,
+    0x2a7b0557, 0xf523c3cc, 0x137ea605, 0x91116404, 0x209836b8, 0x1ada083b, 0x42e79e92, 0x9395bc22,
+    0x1cb72ef6, 0x80119f71, 0x70a70bca, 0xc32a026b, 0x0afdfdb3, 0x24abe3d8, 0xeb44992f, 0x4b2c80a2,
+    0x5960d599, 0xec061fd5, 0x19295f5e, 0xa313d0a5, 0x20b5b8fe, 0x3bcb1f50, 0xccbcc778, 0xdd13e44f,
+    0xccf302bf, 0xf48d6df1, 0x8dbc87f4, 0x5b18641f, 0x87f1cbe8, 0xa1eba8ee, 0x3bb72536, 0x7a8c4a08,
+    0x13f78905, 0xa13cfffd, 0x0d6e0ecc, 0x2c762963, 0x25d36056, 0xd45ae8e3, 0x894eadf1, 0x68d84e13,
+    0x88b2785b, 0xef5b66ea, 0x0cd14b1d, 0x6d9e2f4d, 0x4bcce5c4, 0x18299fe6, 0x5c2a2f75, 0x75babeeb,
+    0x459e85de, 0x3b401c7c, 0xf31ed976, 0x5ab4e8e6, 0x15c64601, 0x9f19ddfa, 0xf2d47fc2, 0x3c8a925e,
+    0x9b83066c, 0x80301633, 0xeecdb3a3, 0x136f71ca, 0xbac7f06d, 0x9eb8dec7, 0xc346b4a1, 0x68259912,
+    0xb9ed0bbd, 0xa21a5d17, 0xf78a0dd5, 0xc30266ea, 0x7c3b71ff, 0x93461cb2, 0x2322bbcd, 0xbc5cfc82,
+    0x3018aba5, 0x2d6fc7a8, 0x19541e5d, 0xf2415c74, 0xc43382d5, 0x141a9624, 0x3020ba7a, 0x733264cc,
+    0x0a785379, 0x7f568172, 0x365dbe58, 0x6d9640b5, 0xe0b3ee50, 0xc31a44a3, 0xf5930429, 0xbcd2c0c9,
+    0xc9a20cc7, 0x6368596c, 0x2692a619, 0x1473058f, 0x0d8eaa76, 0x7f2a6842, 0xf0b03f1f, 0x59b0ca6d,
+    0x01541706, 0x87a99744, 0x19d127a1, 0xae043443, 0x794b603f, 0xb23b5cad, 0x6d044b0c, 0xae109087,
+    0xeb1451c1, 0xe76cacef, 0xae25cd63, 0x5d8a87cb, 0x83319d35, 0x23795ae3, 0x09d7760f, 0xe03db36d,
+    0x270e2c53, 0x7250ae94, 0x9d8ec000, 0xbfd0713c, 0xaf1558e1, 0xc31afbd3, 0xc7943fa5, 0x5e1cde19,
+    0xb431224b, 0xb7c58955, 0xff890f41, 0x47595dfd, 0xb3d87212, 0xc04fbdfd, 0x2c33446b, 0x2c3c4c23,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000020370359763344\
+                         86086268445688409378161051468393665936250636140449354381299763336706183397376 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3,
+    0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105c, 0xf0b3a0cc, 0xa1fbd3b9,
+    0x00000000,
+    0xc7801a06, 0x7ac3bc77, 0xb37b53c2, 0x1d7bd0f7, 0xaf2860ad, 0x6a96fbc9, 0x7423d5cc, 0x2841fef1,
+    0x943b8ec1, 0x249556e9, 0x371fb041, 0xba9e7093, 0x8f927f25, 0x4eec449d, 0xef31f0d3, 0xda9b1b38,
+    0xb8496859, 0x6a0646db, 0x866f8c73, 0x21a5de1a, 0xa2ad86af, 0x806ecdac, 0x636c83f9, 0xd1243c3e,
+    0xedfd98f5, 0x37c8da92, 0xb0dc40fd, 0x4ca3444c, 0xa489c836, 0x832e239c, 0x477a4bea, 0xd5374c2d,
+    0x8e7ec953, 0xbdf133fd, 0xbb8fa5e5, 0x2320c34f, 0x48b7d772, 0xbb1ebb32, 0x647609f5, 0xd0ccf71b,
+    0x59b5e38e, 0x7bf89444, 0x61ac47a1, 0x2f999e86, 0x9d5cab1f, 0x2f72a811, 0x3158e52e, 0x02f6495e,
+    0x23da1c82, 0xa971a018, 0x3951fbb2, 0x14db0d39, 0x9670be6b, 0x1437ab98, 0x7f5b0c60, 0xf946c70b,
+    0xc1b8fe6b, 0xaf9eaa75, 0x418ffa0b, 0x7bf75503, 0xa9e7ae29, 0x87bc985b, 0xd0e07610, 0xdb0787db,
+    0xc17cd30a, 0x3a43afff, 0x329bf388, 0xfa5fd30c, 0xfc70eb73, 0x3898e39f, 0xe495f6d6, 0xcaf537ad,
+    0xe651a7b0, 0x3ddfd42d, 0xcb29e78c, 0xcb110cdb, 0x572bd3e7, 0x9cfc4c15, 0xa1eef7d7, 0x78bb7e3d,
+    0xf0680213, 0xf68061a2, 0xb45a4ff1, 0xfeb95b08, 0xfe861403, 0x6398e42c, 0xaedbf844, 0x0b32cb78,
+    0x03dd756a, 0xedd23026, 0x14c623dc, 0xc014c25d, 0xd9b1875a, 0x77841018, 0x7b834be7, 0xc488496e,
+    0x1084ef4d, 0xdef9f98e, 0xe9ea7f30, 0x3b6f8b40, 0xac87c03d, 0xe5a2a86d, 0x0b75bc2b, 0x2956e7d0,
+    0x9a090705, 0x03e4fff1, 0x02c10a73, 0x378cfa86, 0x0d06c275, 0x0a52d76b, 0xbc599168, 0xbb46daf4,
+    0x821d3c58, 0x65c99f4c, 0x826be59a, 0xcfc9cc15, 0x3ee2d7f2, 0x3c7b4844, 0xd6313516, 0x8e73725f,
+    0x1f1524d1, 0xfc4f8615, 0x18d89005, 0x59475da2, 0xe87ee050, 0x46447637, 0x7c1df091, 0x8a6f556c,
+    0x79040ad0, 0x9371e876, 0xc5daeba9, 0x4f09c535, 0x16635409, 0xad32bec3, 0x109c7e88, 0xe4796862,
+    0xdf35dd21, 0x614836b1, 0xb5fe4b3b, 0x900d79c0, 0xeecb1337, 0x1868a6bf, 0x8cbf0163, 0xd648947a,
+    0x4f991c65, 0xed7aef9a, 0xb3da3f95, 0xd3bc8d52, 0x0e677263, 0x00a7480b, 0x3b475a9d, 0xebaeb8ea,
+    0xc59a1a54, 0x648aa844, 0xc6d393a7, 0x180018d8, 0x625a5109, 0xa73c1bc0, 0x5f62f7ab, 0xd434fbac,
+    0xf52bc5cb, 0x354ab059, 0x52a3fd06, 0x4b458cf2, 0x230e9d5d, 0x5da56b18, 0x67f24efc, 0xdad0d553,
+    0x0f280d2a, 0x53b47e94, 0x0a6a23bf, 0x1d8f1571, 0xac768146, 0xba099393, 0x0acb2f86, 0x952312e0,
+    0xf4cd4516, 0x70cdcf1d, 0x8534d5b8, 0xed796d7c, 0xa379d6c6, 0xcb51d874, 0x2cef9268, 0x7f48b079,
+    0x4276605e, 0x4ef87448, 0x5640e9c6, 0x10b9ec2a, 0x7eb6f9ee, 0xab91835d, 0x670eef9f, 0xa4447aa7,
+    0xc8f96dce, 0x4c689f1e, 0x0f1c73d1, 0x90c4025d, 0x02652c31, 0x5f0c8f22, 0xb75400ac, 0x33225599,
+    0x152f1073, 0x96ae77a6, 0xb158c23e, 0xd8a4f39b, 0x0263799c, 0x0b992897, 0xfd26bd7f, 0x13c8ebcc,
+    0xfad8322e, 0xba4c706c, 0xa759dc4f, 0x4d41c263, 0x41b39bad, 0xa82f4b00, 0xe093c7c0, 0x6e482027,
+    0xf8308783, 0x28d257a5, 0x58e552b4, 0x42a0e1bd, 0xe9a9367a, 0x2d32651b, 0x4a477dc3, 0x27957fe7,
+    0xd016b693, 0x82632fb3, 0x7bc53ba2, 0xa28a5986, 0xb75e664f, 0xbc454641, 0xda4c23f5, 0xc860d470,
+    0xbe76e83a, 0xb556aa08, 0x26b83472, 0xc6ff7301, 0xaac5c2eb, 0xeccdff93, 0xc3758c04, 0x5b8cf380,
+    0x79ad5623, 0x3a87ed0d, 0x5c935465, 0xc5e887ec, 0xc310e5c4, 0x690994e1, 0x795c3a3b, 0x1f1a6d4c,
+    0x30b442a6, 0x3c474211, 0x4c09691d, 0xe700c333, 0x6afb32c2, 0xe949c8bc, 0xc01c7933, 0x950ed6b9,
+    0xa77ccc48, 0x97a786d6, 0xe21efeaa, 0x95d79972, 0xffdd09da, 0x7426a905, 0x264b8a49, 0xe79c4c86,
+    0x05363069, 0x99323c07, 0x398010ad, 0x939e1a1c, 0xf680b715, 0xdb71e3fb, 0x199fc74c, 0x91650603,
+    0x1e15ca64, 0x1c144446, 0x98e14c68, 0x7c266dbe, 0x93408666, 0x0f8dc14a, 0x7a827708, 0x61381209,
+    0x8dcd8595, 0x344417e9, 0x1e86c1da, 0x85a9546c, 0xb58a8b5c, 0xd975d60b, 0x88ba49b4, 0x5cceab44,
+    0x321e3d20, 0xdc812336, 0xb7bdbab8, 0xdeb4dfe7, 0xe55ff2b7, 0x1b4743a0, 0x7b3bace2, 0x545cbedc,
+    0x2c1686ac, 0xa4fa3363, 0x97c4e866, 0x1032d1e2, 0x4c9d16b1, 0xe75705e3, 0x954682b6, 0x49b7125c,
+    0xda0a32e3, 0xf2ddb19a, 0x9967dca5, 0x69322c56, 0x069e9e73, 0x32c5d913, 0xc5bd93a4, 0xd2b63d36,
+    0x0dad587f, 0xdbedcd8e, 0x32727de5, 0xea82aebb, 0x108f561d, 0x9af6a488, 0xfa6f51ce, 0x431a0201,
+    0x1cb34c57, 0x28f705f0, 0xe5ce6258, 0x6811dfb8, 0x450ef682, 0xc8a9542e, 0x78236c3a, 0x76d07254,
+    0x147f55a7, 0xf36c1731, 0x95be8161, 0x72078a68, 0x313bd505, 0x1e532d19, 0x3992ec61, 0x2e069bd0,
+    0xcfbc5fd9, 0x6e083b1e, 0x2433592f, 0x1718c0df, 0x6ab4bbbd, 0x73d0e4cb, 0x7ba65bae, 0x93fdcb84,
+    0x00ac4e65, 0xab2185d1, 0x7c9c0c0e, 0x6b696840, 0xe4c186f2, 0xa1e17bb4, 0x30ee353f, 0xbf65cb57,
+    0x2f271c73, 0x5a5b34f3, 0x49c27ad8, 0x2eba0703, 0x3a0423b5, 0xee38e73e, 0x57e10561, 0xe1b6003a,
+    0x226dde66, 0xf49b6aad, 0x7b6a2359, 0x818a1f08, 0xbe7da68d, 0xc7df82ca, 0x0af8ab80, 0x11ea76c5,
+    0x98f644fc, 0x4a1c0f8c, 0x29880dc6, 0x659ccf7f, 0x2dbd6f93, 0x34ba02ce, 0x03537bbd, 0x6370388b,
+    0xcd4df4a0, 0xc524a51a, 0x05826b38, 0x36d1ad2f, 0x56bdb8df, 0x69958290, 0xaa2be5f6, 0x8e99eec1,
+    0xfe8c9e91, 0xc527d141, 0x4f11ad4b, 0xdebd2301, 0x79242849, 0xd38d92a3, 0x1ba42621, 0x4e4d2e66,
+    0x7f4f5595, 0xe14e07fa, 0xfd076bae, 0x78ada296, 0xeab59614, 0x193cac60, 0x366f14aa, 0x971ca27f,
+    0x8dc248f2, 0x4bce7257, 0x381c3783, 0xd9ba1912, 0x420a389e, 0x16265140, 0x669aa8ff, 0xb9fe608c,
+    0x9d4d6d52, 0x566e8dc3, 0xe2a6991e, 0x2cedb6cc, 0xa93c8ccc, 0x00ba77c3, 0x2324205e, 0x8fb6001b,
+    0xb34dcc29, 0x554cb47a, 0x77700092, 0x9091fba1, 0xf207df94, 0xcbe4f822, 0x9625d903, 0x2750de48,
+    0x23ac02c1, 0xecc561df, 0x38b83b61, 0x838270db, 0x63064694, 0xa781e53c, 0x0d8e87a7, 0xafb7c1cd,
+    0x744a9f82, 0xde5fff7b, 0xaa28575a, 0x7718382f, 0x6ccd6146, 0xfc7edf89, 0x386eb03e, 0x604a046e,
+    0xec218ea4, 0x29e5ab0f, 0xbf7dc612, 0x95e7760e, 0xe09a17f8, 0x33927680, 0x85007d3e, 0xbb22e5a3,
+    0x7afbce63, 0xed892f1e, 0xbed2f7a1, 0x952c1a9a, 0x7c07a7fe, 0xee6d3acb, 0xcf2dae5a, 0xeab3e1d8,
+    0xd8763239, 0x6c83f7c3, 0x3968adad, 0xbbbdb61e, 0x5ee704f9, 0x1510c2c9, 0xa93b4bf2, 0xde8a5ec6,
+    0xb414485f, 0xd570271e, 0xf4fef629, 0x910e2bd6, 0xaa6b1ea2, 0x16e0187a, 0xe30f7e6b, 0xbda5abf1,
+    0xc4bef8b8, 0x420f19fd, 0x0e1cbdec, 0x60036b5b, 0xb714b4f4, 0xbda9514d, 0xece4a37e, 0xbfaf4ffd,
+    0xd4bb95f4, 0x3dd766e0, 0x4c3dcfb5, 0xed007b7b, 0x94eb517c, 0x7c5ab3b8, 0x0e4254f9, 0x0d139d0d,
+    0x2b63f681, 0xd0e6951c, 0x19c84df4, 0x89364b4e, 0x03b524c0, 0xe5434db3, 0x081a289c, 0xbab45759,
+    0xc667753a, 0xf32013f7, 0xe092ce7c, 0x9af5dedc, 0x626f7946, 0xa57ff71b, 0xf273b414, 0x1d719a43,
+    0xa71d2c5f, 0x4a5a322d, 0xdb59f23f, 0xee691414, 0x6ccae997, 0x5eb06fcc, 0x3c856070, 0x47d1d91c,
+    0x1158a4c2, 0xaa382fe9, 0x44e50b28, 0x8eab0d59, 0xdf3a5ad8, 0x325cac37, 0x16707977, 0x4570529e,
+    0xa4127825, 0xa58ee073, 0xafa63a01, 0x2ad7477d, 0x0a50e54a, 0x2af93620, 0xcdab99a8, 0x46c55635,
+    0x211b2c27, 0x15c12fac, 0x95dd1164, 0x5dd24a84, 0x1d00bf9a, 0x7fbe1b14, 0x24964a0b, 0xf4f01d06,
+    0x11108990, 0xa3eee7f3, 0x53e8762a, 0xd6645334, 0xc79d428a, 0xc88afe3c, 0x23d1ff40, 0xb5ef2d4d,
+    0x933ae2b3, 0x8a18eebf, 0xdeb1c415, 0x5cc7e3da, 0xf499e996, 0xcbe43f04, 0xf62c16d6, 0xa71ca846,
+    0x81b2eb3d, 0x4da590fd, 0x5339487a, 0x86c62e6c, 0x3636e7ef, 0xb5e36a9a, 0x7bcf6518, 0x7d47b138,
+    0x7145783b, 0x0da96a12, 0x5f633455, 0xdb6cb3de, 0x64c6b361, 0xb0ef5540, 0x1975129a, 0xabdff63f,
+    0x2d8f02bb, 0x02f8b686, 0xfdad4897, 0x9d2b1f0c, 0xd78fba22, 0xd072b7b1, 0xe45a32b7, 0x88ac00f0,
+    0xa5e5c843, 0x6ee0c154, 0xa7f6bf51, 0xbed56eff, 0x697bec46, 0xa3e37488, 0x46dcab2d, 0x5b4135d0,
+    0x184a01c4, 0x06ff71b2, 0x145b873b, 0xb17d6c50, 0x59f1eee8, 0xa409b4dc, 0x9ce1187b, 0x1278fa90,
+    0x030fe432, 0x1e2fdc22, 0xa3cdfd95, 0xa0842796, 0x76adb1bb, 0x1b67304f, 0xce523236, 0x0c5fa97b,
+    0xbfa76c52, 0xcf6b600e, 0x9ad0d57c, 0x2797f6a3, 0xfb9af555, 0x3384335d, 0x65c2089b, 0x659c128a,
+    0x99093a6e, 0x7736e420, 0x1ed533fb, 0xcf887427, 0x7596da85, 0xe90fde4c, 0x041ae86e, 0x99d924f4,
+    0x8f225f1a, 0x3f9f7894, 0x282aa366, 0x91bc5758, 0x629cdb56, 0x2ed0bcde, 0x9476726f, 0xaae4392c,
+    0xa12305bf, 0x013d8195, 0x900b6bdf, 0x1b70e410, 0xa576e66a, 0xfea6f9da, 0xe54f4e7e, 0x66835145,
+    0xa786c43e, 0x0a076808, 0x8452efb3, 0xf2a4d2d0, 0x737d1d8a, 0xdc3a1690, 0xafdcc523, 0x1f545692,
+    0x8f1b9f43, 0xb4fd9713, 0x6a2b3e60, 0x39f87432, 0x7822274f, 0x63a05cc3, 0x2cea619c, 0x872bbfde,
+    0x57c741a4, 0xfe4c23e4, 0x234f51bd, 0xc2e6f6ea, 0xb161f431, 0x5b43950d, 0x6ec5c057, 0x8e1935a6,
+    0xf29f3ce7, 0xc44f9336, 0x78122cf6, 0x63971ba2, 0x6b3c4d52, 0xab4cdf18, 0x734c8ff5, 0x3aeec4c1,
+    0xe70bf51e, 0x439ad012, 0x6d04f616, 0x0cba4c5b, 0x07b0b769, 0x7d45a994, 0x5f6d1a3d, 0xa1dd08f3,
+    0x0cd3416d, 0x174fb31f, 0xfd870f14, 0x9fc831ac, 0x1dd1f628, 0x681d4d13, 0x4b50f2e4, 0xac893bb8,
+    0x6b3c6ad3, 0x9604ff19, 0x5b75c94e, 0x32335d16, 0xc6c16234, 0x00754f2f, 0x24d79bb9, 0x6a48262e,
+    0xfed25d79, 0x98c1e319, 0x13c6fc7e, 0x15665050, 0x64152ec3, 0x604733f9, 0x2a79b601, 0x6aef04c7,
+    0x11de19ed, 0x37fa3a7e, 0x9a2f928b, 0xa74ed61f, 0xf33d01e4, 0x984fb6df, 0xce723ec8, 0x724096d8,
+    0x41214ff1, 0x0c7a82d6, 0x05f569ed, 0x23cca597, 0xd4c2cc65, 0xae8f6476, 0x4fcd1593, 0x3562c0e6,
+    0x1e60f20b, 0x504762cc, 0x8d52a8fe, 0x38e1201a, 0xb40bd652, 0xd325bba5, 0x45001860, 0xb8a5043c,
+    0xfaabc7da, 0x7fd5732a, 0x156e560b, 0xb2020546, 0xf96badce, 0x6f7d0701, 0x43985cf5, 0x487cec4f,
+    0xa7237772, 0x06a38a29, 0x8d23738d, 0xf1733968, 0xd16a17e2, 0xff6480d2, 0x956dabf7, 0xc22a5989,
+    0x80e69310, 0xc43a2747, 0xf2e9b200, 0xe9141412, 0xdf28066e, 0x2ad13f07, 0x97390826, 0x22ed9d07,
+    0xd84f2034, 0x1ba531b9, 0x3d498b4b, 0x17f5f40c, 0xb151aed6, 0x4ea39348, 0x8f09749c, 0x8a8bebf7,
+    0xc0d9fc1b, 0x24899b3d, 0x11747518, 0xdd4671fb, 0xc6d26e6a, 0x559e2de1, 0x9608c4e8, 0xf8943189,
+    0x792cb585, 0x08dd603b, 0x257653b4, 0x72a260be, 0xdd903bf8, 0xb145ab93, 0x3977efc3, 0x8afa7d8f,
+    0x9bf5b1ce, 0x3cc69e9a, 0x2bd827f5, 0x99b027b8, 0x02da7a10, 0x1ce4ce45, 0xadc2e244, 0x5a04e466,
+    0x5ef20f24, 0xa4927065, 0xd78e5b9e, 0xfef33e8d, 0xab9ffa40, 0x7550e3d5, 0x4dec1a39, 0xa6be794c,
+    0xa64c6be4, 0xa99ae531, 0x23288607, 0x40f40dca, 0x88fbde99, 0x48c995c9, 0x2167712b, 0x388df14e,
+    0xc345e86c, 0xf27f622a, 0x7c88b23d, 0x4ca2f9de, 0x33b020de, 0xe671aa14, 0x5de78ffa, 0x8843640b,
+    0xb6643e6c, 0x98ed52da, 0x4983c0da, 0x263bc20e, 0x3fe861c8, 0x73dc062f, 0x52404210, 0x9f0cde76,
+    0xa40890d2, 0x4ceb6507, 0xa2d2f944, 0xafbda476, 0xd2a36bb0, 0xbe143b9d, 0x8fcd293c, 0x0c0ac564,
+    0xdc5ff9ee, 0x786e461d, 0x81c8484a, 0xd7795747, 0x2185356f, 0x9064c91d, 0xc2275535, 0xcdeb6aef,
+    0x58e6f855, 0x49e05e5c, 0x3b9e4318, 0x5567d2f4, 0xeff81a06, 0x874668fa, 0x8d6a7515, 0x61fb48bf,
+    0x98207193, 0x0b74ab06, 0xf89d066a, 0x681bdb3c, 0xc1542984, 0x74b606c8, 0xe27e8aef, 0x87427ff3,
+    0x4b05a6e0, 0x41e7ced0, 0xc63b09ef, 0xc3616bb6, 0xca4650ad, 0x56768384, 0x14c00196, 0x98418f49,
+    0xe8f52662, 0xb789df7b, 0x4e8cae69, 0xa8ceffb9, 0x2ee884db, 0x7a4ae506, 0x79f60310, 0x8c0b090e,
+    0x36e586fb, 0xb17e705d, 0x7711035a, 0xefc59328, 0x9115211a, 0xb5b8b995, 0x818daeea, 0x59fa5223,
+    0x0506e678, 0x47505770, 0x66f3e3dd, 0x6ee2e0ef, 0x9432b532, 0x0e39ef3e, 0xb385236e, 0x59d9c5c2,
+    0xb9b28559, 0x0d012666, 0x510ca0c1, 0x286df384, 0x067ef0ad, 0x420a3ab9, 0x03664cff, 0xde4e1de4,
+    0xc214e12a, 0xb95a3d1f, 0x26e9ba96, 0x41d9772d, 0xc6d69ac1, 0x7911daae, 0xc2e0b349, 0x614837a2,
+    0x4d9e6ccc, 0xf0bda46c, 0x38a344a0, 0x0b13fd4d, 0xade8b7f5, 0x1b577bd7, 0x41b4f008, 0xb1bfd2e8,
+    0xc7c48b4b, 0x7cde5e48, 0x92561842, 0xd9fb59a5, 0x52eda086, 0xf1865ed1, 0xc341acbd, 0xddbfa356,
+    0x72e0e498, 0xf6c19b62, 0x9d925fba, 0x8ddf1ac1, 0xb44b690c, 0xc1742a91, 0xbea4b448, 0xcf2755a6,
+    0x989d3203, 0x51938090, 0x7de2bff0, 0xbcaddfac, 0xf677fb58, 0xd1538275, 0x11d5132e, 0xfc7e83d0,
+    0xb5ec6f3f, 0xf2f0b06f, 0x92cc95f2, 0x9af252a1, 0x38be72ec, 0xa230144a, 0xf564bf80, 0x4daafbb9,
+    0xe51b8ef2, 0x81c062a3, 0xf82278c0, 0x54912a91, 0x47a4b06c, 0x0eb8f532, 0x8863bdb3, 0xc1c67231,
+    0x1b509b1f, 0x218dc3f1, 0xc79ff08a, 0x6df867b3, 0xc3f7a7fb, 0x2695efab, 0xa5eda4b7, 0x11a8545c,
+    0x71c2784d, 0x0d50283d, 0x75a81ae0, 0x50bee731, 0x789f0162, 0x2331bf7f, 0x0ffb54fe, 0xc891cd91,
+    0x60673dca, 0xd7daba6b, 0x4d659102, 0x481d6455, 0xd10d4966, 0x637e2de2, 0x32c6a486, 0xe4fcb03b,
+    0xa6c5b0d6, 0x705a2a74, 0xfded13f3, 0xba9f8323, 0x26a1dc5b, 0xa0e2b0df, 0x392ed58f, 0x626e986d,
+    0xeca4ee33, 0xb2c2aa19, 0x86494465, 0x36230248, 0x9aabb833, 0x20284597, 0x7d52df81, 0xd3b88cf0,
+    0x22cc26ac, 0x4f1c3e03, 0x8d5ea572, 0xd5f5bba9, 0x78c3cebb, 0xc682e000, 0xc3bd186d, 0xd6197789,
+    0x80b4cbd7, 0x887e4d8c, 0x6a5f55ac, 0xf101fe5e, 0x665e6bbf, 0x042bac33, 0xff471c30, 0x629f084f,
+    0x6e344c9b, 0xb412dc56, 0x5670c79c, 0xe70a1a3c, 0xc672b3d9, 0x5882a044, 0xa071a8bb, 0xba4c1340,
+    0xd05aac53, 0x94876659, 0x74296c6f, 0xf41d7532, 0xe2dcd400, 0xd719da38, 0x75f4e6a6, 0x2fca1a94,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000010185179881672\
+                         43043134222844204689080525734196832968125318070224677190649881668353091698688 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1,
+    0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082e, 0x7859d066, 0x50fde9dc,
+    0x00000000,
+    0x9fcccf05, 0x59b6ede1, 0xa017dc97, 0xe1478bc4, 0xb2d9ed95, 0x49513c84, 0xdbff2874, 0xe63b6553,
+    0xbc20faff, 0xa7bc2a77, 0xf66760bb, 0x05e2b241, 0xbc682dec, 0x2bf3fe54, 0xbcd8da9c, 0x45bd6899,
+    0x759f2eb4, 0x6c8a41fb, 0x11173a3b, 0xb408f596, 0x756e0cca, 0x10809f7e, 0x8df472cc, 0xd5b9f9c3,
+    0x92f74909, 0x286c9c67, 0xfd5fec10, 0x94d1733f, 0xafb8f68c, 0x07229d98, 0x76cbb3bd, 0x1e962fd4,
+    0xc115ae7e, 0x3226248b, 0xd5513cd7, 0x8a6a2c37, 0x51f8e181, 0x11021591, 0x62eb097f, 0x4ad87b3b,
+    0x7c1a604b, 0xa9efe931, 0xa853514b, 0xa91b3342, 0xf8fa0305, 0x92a43ba0, 0xc5167264, 0xc6cd679f,
+    0xa3a3fe81, 0x8b399148, 0x154d5973, 0xe5667215, 0x111c5a41, 0xf172ae7c, 0xc320bc7d, 0x729dfb2c,
+    0xf90deb26, 0x92e0cfe0, 0x073c980e, 0xd58c1ece, 0x02a0bed1, 0x2c0df733, 0x1bd44047, 0xcd64b46c,
+    0x4183dbba, 0x3f9d7254, 0x9369de9a, 0x494d2128, 0xb5e4cfb3, 0x94b8b924, 0x2f12543e, 0x1405d4a8,
+    0xf683d668, 0x4f27b525, 0x0996521d, 0xa0611f9b, 0x20b4140d, 0x57e6f86b, 0xea1f26d3, 0x70ec6547,
+    0x30234adc, 0x92e474d1, 0x46483437, 0x386e9eac, 0xe25f1a5b, 0xc456b63d, 0x980ba645, 0xd6742e03,
+    0x60a06124, 0x75cbf1cf, 0xbcd9009d, 0xbe733ba5, 0x1195bd38, 0xdf1a44c6, 0x3918d55a, 0x524bccfe,
+    0xe2f3f866, 0xb948bbe9, 0xc43f42b7, 0xf82ee1f4, 0x61b5b5c9, 0x8f90aaf9, 0x36984887, 0x406ff55d,
+    0x7efe019d, 0xd6a0d565, 0xc715119e, 0xf8294a5e, 0x6f9dc5a7, 0x0aa782aa, 0x1a5fa7d9, 0x9746d342,
+    0xf08e758a, 0x1ef1448d, 0xb0f5893f, 0xb317fa6b, 0x08554ff4, 0x18227612, 0xc61d8af1, 0xe4830785,
+    0x1b47e5d4, 0x30c88dc8, 0xed53739a, 0x826074d1, 0xbb9a832d, 0x133b11ce, 0x76359f70, 0xb258a816,
+    0xc699c497, 0x36365b9e, 0xbd5449bf, 0x180df75d, 0x23ae858c, 0xb9aa5da6, 0xb3d43a65, 0xcd3c189f,
+    0xc22a0c2b, 0xf5ac6cc8, 0x9761fbee, 0xd079a0b4, 0x80ec7387, 0xbc295884, 0xd4cbee67, 0x4cebc187,
+    0x1a07d7c1, 0x0e692d0b, 0xe423c3ba, 0x73bcabc0, 0xf93a8ffc, 0x69bb77f0, 0xc334ae9a, 0xcfc2b418,
+    0x856a03ef, 0x7fe79006, 0x1a4bbda9, 0x59dd6dfb, 0x35e3127b, 0xfbbb4c38, 0x2b04870f, 0x82babcad,
+    0x4685cd37, 0x6783f20b, 0x9a0592b7, 0x04be854e, 0x73cd563f, 0x48758d7f, 0x096f1a85, 0x4e61c720,
+    0x2cc1fea8, 0x287a7b4a, 0x27c4445f, 0xcabfbf2c, 0x2f801092, 0x061bf472, 0x59c9f3cd, 0x4055f3d7,
+    0xb1653ab6, 0x40f85a66, 0xdf64e5ab, 0x933bdc54, 0xde081485, 0xe7ab43bb, 0xe064de27, 0xf4c2dc30,
+    0x0f1b3039, 0xd712b9e8, 0x770571fe, 0x168b3c53, 0xcf9fe31b, 0x5c0ff7f4, 0x36678117, 0xe21bcf13,
+    0x7146c901, 0xb54ce5da, 0xffffd053, 0x89ba5dbd, 0x6bdb99a1, 0xf9f6da98, 0xff3a9a06, 0x52cef3d7,
+    0xbba45040, 0x3ec4f2cd, 0xb5d16d3e, 0xa96beeba, 0x0ae8dcff, 0x2eddc1b1, 0x366f9104, 0x00b1d5a6,
+    0xbe494363, 0x543cd836, 0x995241aa, 0x6f3359ec, 0xcf26835e, 0x5aa60683, 0x0b212d9a, 0xfb424fd7,
+    0x8ad18480, 0x2175fb2d, 0x6b9c1d65, 0x70da5d36, 0x95f4d548, 0x8bcdd156, 0x622efae4, 0xb835e58f,
+    0xedc6145c, 0xae2d0a75, 0x6bf4ee7b, 0x83cd283b, 0x36fc30eb, 0xc195d22b, 0xbfc203fe, 0xd21fbf22,
+    0x351bcf92, 0xdec72da2, 0x74402299, 0xd7f595b3, 0x6e1ec8be, 0x24f42f95, 0xd3a96554, 0x62870564,
+    0x90968147, 0x4ec301d5, 0xbfb73b3e, 0x8b3610fe, 0xfd042586, 0xcf8e46c8, 0x1743fe77, 0x9fb680bb,
+    0xbfe4a4f0, 0xe2c5d3a7, 0x7d08a9a3, 0x5a0a90ff, 0xb44615d3, 0x7740a3e5, 0x219305c2, 0x848034dd,
+    0xad75894a, 0x735d9b5e, 0x3f086e79, 0x07b9ce09, 0x24251fda, 0x7bac13a7, 0xc2d200dc, 0x7e4ac736,
+    0xb124693a, 0xe8dcd523, 0x95e8e3d3, 0x82ff253c, 0x36959232, 0x49686426, 0x3ce07c9f, 0x687379bc,
+    0xf0466713, 0x6e7d2064, 0x92d51d3d, 0x8406a94a, 0x5bae4dac, 0xc469f6bd, 0x58eddeca, 0xf4cf96dd,
+    0xdbdb9e7b, 0x59e390d7, 0xc62c9a62, 0xa7718707, 0xf0c7d395, 0x7e379fa9, 0x6e6b0eba, 0x7320d413,
+    0x3c2f2ae4, 0x53e2f8df, 0x1f95930e, 0x449a4c71, 0xb37c120d, 0x89725bce, 0xbc131ef8, 0x38743621,
+    0xb848739f, 0x36bf90a1, 0x3aaf72ce, 0x9eeca7fa, 0x4775ee4d, 0xe43ab564, 0xca9144e3, 0x067f7f89,
+    0xa327a67e, 0xbc982728, 0x0772cbd6, 0x26deddd9, 0x622780dd, 0x850e24a1, 0x993bf678, 0x2b350eb1,
+    0xb960928b, 0x786a1d84, 0x2fd580be, 0x1b2a96c5, 0xb6d3a56e, 0x92b1d68f, 0xeea9b1d0, 0x90e4fcd1,
+    0x2e1d6534, 0xf866a20b, 0xdc0a69de, 0x697a13eb, 0xd426badd, 0xf8d9ac88, 0x2353ebe3, 0x2ad9ff42,
+    0x902dddae, 0x6668dba7, 0x6f560125, 0xf778a416, 0x1cd54238, 0x4858fc32, 0x371caf0d, 0xed1943e8,
+    0x7d3c3112, 0x52f0a58e, 0x5a4f7fa3, 0x3e67cc4b, 0x10fd5342, 0x8f1bf35a, 0x0932d2ee, 0x6b68c0a2,
+    0x2ae1a7e6, 0x1fb10d7d, 0xc022be03, 0x1c1afdaf, 0x6f8618bc, 0x62b7cb02, 0x36e089bf, 0x1adc0d42,
+    0x2967e325, 0x7a2e216a, 0xa4e06bfb, 0x51121e73, 0xa32404d5, 0x9f2a0681, 0xe797789f, 0xdc2a6428,
+    0xe35e4daa, 0x8d098eb6, 0xb009c253, 0xcce2cac1, 0x22527601, 0x4ba7c122, 0xd0402e62, 0x4cec993c,
+    0x3c26ae5f, 0x6f7a1460, 0xdf10a319, 0x948ab492, 0x3723f33b, 0xc2f5f4a3, 0x0cb6a165, 0x28e7c495,
+    0x78ca8b9e, 0x70665671, 0x705cfbf8, 0x9e5f42b6, 0xb7bc92b9, 0x4129cb6b, 0x652d6263, 0xfdb7c70e,
+    0x2b97455e, 0xdf89f031, 0x9eba3d41, 0x13e5ec15, 0x296d2e0e, 0x3241052a, 0x9c5387e3, 0x6ffe61c0,
+    0xc3435a51, 0xc7d6e314, 0xff32377f, 0x34d4966a, 0x2792d305, 0x7b02bff3, 0x88bc56d0, 0xe4011239,
+    0xcf938532, 0x3b022fe3, 0xb6a4821d, 0xa8a1ae5f, 0x882b4bda, 0xaeafc50a, 0xd9c9de95, 0x02223eb3,
+    0x397ff033, 0xfb705402, 0x8250748d, 0xca343d37, 0x27a294aa, 0x28d5ef5e, 0xb8192e60, 0xd21b1e43,
+    0x5dc0d193, 0xf7b3cf25, 0x5615c9d1, 0xc862459b, 0x666c0ab7, 0xc8162fa9, 0x88c2043e, 0x4f1e6b2a,
+    0x14a8b218, 0x57164f64, 0xc1bf0b66, 0xc57751c6, 0x24d08987, 0x18eb925f, 0xd32ae827, 0xa2063b5a,
+    0x220d6f87, 0xd2e8cfb8, 0x889f8040, 0xa8407386, 0xf2e19bbe, 0xe63aebbe, 0x5216cf5a, 0xecb9d5ff,
+    0x752ab04a, 0x1ffa904f, 0x95c300f9, 0x48beaa6b, 0xa723f2b7, 0xb93cf480, 0x499704c8, 0x528efcba,
+    0xb40c79c5, 0x525fd7d1, 0x10583913, 0x27a218a7, 0xb2615e09, 0x9436d481, 0xc2c90c81, 0x7f142b42,
+    0xccdb7e99, 0xe164774f, 0x71d98bd2, 0x0aa47d38, 0xf06cdc41, 0xeacbfc85, 0x5cc29dba, 0x2a269b6f,
+    0x3ac93adf, 0x24f60b42, 0x1e61ece1, 0xe001b671, 0x3f3af6b3, 0x6d890bb9, 0x1d7ce29b, 0x99db742e,
+    0x173ed30f, 0x67c935ca, 0x54370cc1, 0x821ac312, 0x2c2016f9, 0x8755fab7, 0x9e1e7ee4, 0xecf05b87,
+    0xb32b4887, 0x8811393a, 0xb681ee76, 0x1cb1216e, 0x042fac23, 0xfa9a072c, 0x57ae99e7, 0xba913e85,
+    0xcc638835, 0xc9ad8b89, 0xcb8ff02c, 0x8ab345e6, 0xc51f482b, 0xac35beae, 0x70103615, 0xe3b4cdc9,
+    0xfb225539, 0x3e9ba1b6, 0xa84cded4, 0xd3049f08, 0x65244f3a, 0xa01a7173, 0xdee82641, 0x5f4c676f,
+    0x8d26eadf, 0x8fe2eba5, 0x37421d1d, 0xe527ff92, 0x7e42c77e, 0x3bfb961f, 0x5a0bc849, 0x55d5360b,
+    0xe5095514, 0x41311b69, 0xaf1ec7ce, 0x5b1f9d5b, 0x97d82766, 0xe037bee7, 0xd046e557, 0x6a6c588b,
+    0x0544865d, 0xc12bc708, 0xf40a1bd5, 0x89c90d9c, 0xa9c4e169, 0x95a78d1c, 0x4f2c2091, 0x49263109,
+    0xc1c9f228, 0x6ff9a67e, 0x9f3933fe, 0x265ca26e, 0x5b82835e, 0x5af12da6, 0x088184a1, 0x775af736,
+    0x29192f9f, 0x8a8553a8, 0xfaaba8c0, 0x139bf7cb, 0x5a91194a, 0x95319bd6, 0x655c4562, 0x8a008e25,
+    0xa6dcc32d, 0x26843b4c, 0xed9d6937, 0xaca62431, 0xf4d1d84f, 0xc3e1e40b, 0x96effdf9, 0xe50d40c8,
+    0x0e26a0a9, 0xadc63c21, 0x7c2c108e, 0x9bae9e8b, 0x6063d66a, 0x69f4d7c0, 0xeb519886, 0x19bb9108,
+    0xf718702b, 0x49e22e7b, 0x887c1692, 0xa2caaba5, 0x94acc831, 0x04a0e5d4, 0x37a44873, 0x2b6df9b7,
+    0xdf301aa7, 0x8868b3c3, 0x7fb13db3, 0x457613e9, 0xc27e5cd0, 0x8517a5b4, 0x146297ee, 0x35ef8b31,
+    0xb6efcfdc, 0x71274f5a, 0x68826d93, 0xfac953ef, 0xe448a549, 0x9158056d, 0x68e808b9, 0xde6e04b6,
+    0xe278126f, 0xaa3a99b1, 0xc296dae0, 0x4a4c5e4f, 0xddac04fd, 0xa6b19a23, 0xb14fce23, 0x601ec22e,
+    0xfae92933, 0x7d7ace8a, 0xdc366c09, 0xbdbd0dc4, 0x071cfc3a, 0x2d7ab157, 0x82351918, 0xf18d7578,
+    0xcfbea695, 0x5057b51d, 0x8786477e, 0x5d3f1062, 0x7b72dee9, 0xf14db86c, 0x2f4b1f9e, 0x9baad2dc,
+    0x90eb2038, 0x812fd019, 0x33d52297, 0x45e77ccd, 0x4ad60e2c, 0xf44d19cb, 0x4a2954e3, 0xc4381162,
+    0x61f6c2ab, 0x28fb7c83, 0xc2314937, 0xfff94c7b, 0x8479c1ad, 0xae80e7ec, 0x1066b269, 0x934afc56,
+    0x6d499a16, 0x4b9bccb3, 0x280434c2, 0x7f4248a0, 0x3e0fc0a8, 0xe61c5447, 0x250ee829, 0xc2c14c94,
+    0x4cce59de, 0x97d59a0c, 0x65b8d8a1, 0x63a1649b, 0x2687af0c, 0x14beee91, 0x855f0687, 0x421648f9,
+    0xa1e51570, 0x596a410a, 0x7b6f4853, 0x4e50474b, 0x5ec9d427, 0x8085c420, 0x9a916b4f, 0xf3cbec12,
+    0xb2b10e86, 0x0920e953, 0xdaaef8b5, 0x712bf9cb, 0xbc7ade40, 0x94e2c3a1, 0xe971fac3, 0x938a62ab,
+    0xedf35137, 0x2b691b24, 0xa9d29501, 0x86fd992b, 0x999b749c, 0x46205d04, 0x20379b07, 0x8f882a93,
+    0x0d11bec5, 0xc7bb18fe, 0x5c100a16, 0x8921f351, 0x50efba2a, 0x94f338a0, 0x25bc454c, 0xa9571b85,
+    0x9a040b7c, 0x6516e1aa, 0x11e70fc5, 0xeb5e3d66, 0x22c11353, 0x7ee2463d, 0xfdc0345a, 0xd0399fa7,
+    0x234cfe25, 0xa7656c18, 0x03c62270, 0x46226352, 0xc9f7b391, 0x084a781e, 0xb47a027e, 0x9820d8e7,
+    0x4e0d69ee, 0xb3ff1904, 0x5acafdd0, 0xb54e26c2, 0x7dfa0885, 0x0b8cb5b8, 0xce77bac0, 0xd65f1d6f,
+    0x878f6887, 0x2f8800cd, 0x41b338c8, 0xce90cb65, 0x09096075, 0xc5d7a886, 0xdd0f0351, 0xb3111448,
+    0xf69c1fc7, 0x25c54e96, 0xeb45fed1, 0x3b3f94b9, 0x6deecc6e, 0x6e2e7cfd, 0x3ca3a586, 0x00050212,
+    0x93c71e65, 0x00de4b37, 0x936422f5, 0xd6aaecd5, 0x24394a10, 0x3ae0ca1b, 0x3dd7f304, 0x28867f44,
+    0x1104900a, 0xa0d155ee, 0x6ab84e8c, 0x025e3e1d, 0x1ea251fd, 0x2c790cee, 0x69bb3f70, 0x4ffb40dd,
+    0xbb65cfb3, 0xcaf9eb66, 0x55d3bc9e, 0x1f94c322, 0x3d3d1885, 0xc87dca27, 0x12a5c58c, 0x01fd2eac,
+    0x9dfe1563, 0x1ed56148, 0x2e57a996, 0xcae0ef3f, 0xf1533e0b, 0xd5dc4bd5, 0x9d2d4ba1, 0x9bfb5461,
+    0x4a8c19a7, 0x4d49ec49, 0xc39cba3b, 0x3cd3610d, 0x8343aeb7, 0x9a04eca6, 0xc6c219ad, 0xa65b87f6,
+    0xd23ddb3f, 0x63bff902, 0x9c4c9e33, 0xec60475c, 0x84d186e1, 0x62d49fbc, 0x1f5b5827, 0x9007b646,
+    0x99424a44, 0x421e45f7, 0x0650fbec, 0xcf74a2d0, 0xb71e8624, 0xdf770e21, 0x2c736c54, 0xbc2651d0,
+    0xbe336007, 0xf4866213, 0xffab4383, 0x97014636, 0x61482920, 0x3641784d, 0xc1780a92, 0xc1b2d810,
+    0x50dba342, 0x72e87796, 0xa4f11d4c, 0x96340662, 0x3006adc0, 0x171f0efe, 0x4b3970bc, 0x5a882ccb,
+    0x76ead548, 0x3032b511, 0xb6cc5575, 0x40d4fdf0, 0x674635fd, 0x275938f1, 0x508f7e8b, 0xf01e0e85,
+    0xe08c403a, 0xbe1d6db6, 0x4a7fe91c, 0xff09d741, 0xc9fbbbae, 0x898b29e1, 0x825b2369, 0x3d3312a9,
+    0xd5a14915, 0x0095fb7a, 0xe8389564, 0xb5dd1d84, 0x7a0dccca, 0x295497c5, 0xfde0938e, 0x6402d3f9,
+    0x9910d2d1, 0xd6de7d5f, 0x91f0c1be, 0x36196b67, 0xc0df2769, 0x2be40bce, 0x39520109, 0x85426c7d,
+    0xa6d90b55, 0x5b2c4ee0, 0x6274c7f2, 0xd4bf36ad, 0xee265084, 0xd65ab27f, 0x66086fd4, 0x6bf0d540,
+    0x4f63d5f3, 0xa8cb24a3, 0x6ca92ecc, 0x3ef0343c, 0x8f277d54, 0x8a535b9f, 0x909a6082, 0xb0fdef9e,
+    0x73ef6fe2, 0x9c57946a, 0xf9c84974, 0x0161a5a9, 0x6ee2c030, 0x4eb5ab28, 0x696dae38, 0xd1795b48,
+    0xb5fe1c3a, 0x151e7cdf, 0x6346a4c4, 0x2c56d39e, 0x518c0229, 0xfce3bdcd, 0x2138741e, 0xce37e0db,
+    0xf90d295f, 0x6349b80f, 0xd24f4998, 0xdbce0539, 0xcabd4c79, 0x08737c8d, 0x6b561d00, 0x80f64600,
+    0xabd9f391, 0x08a7a9bf, 0x250b6d9c, 0x3d315b1c, 0x5b9cd2cd, 0x3e449dae, 0x3998c14e, 0xecce3cd8,
+    0xb15a06f3, 0xc85af370, 0xf0c7f212, 0x2054036f, 0x0d2468cc, 0x88f47f8a, 0xdf1a0eb3, 0x4641b30f,
+    0x319c8486, 0x8c0900ab, 0xf89c77e0, 0xd6689074, 0x83c2ba6e, 0xd7b0af9b, 0x0d0ad35d, 0x150f2372,
+    0x2f24af0d, 0x0a460695, 0xa932862e, 0x07fad067, 0x1303a092, 0x095efde2, 0x0c1b518d, 0x7dd60861,
+    0xc71518f3, 0x33dfb911, 0x1d51a240, 0x54405b6a, 0x873af52e, 0x6f73b7ed, 0x08ab0d44, 0x7a301f5c,
+    0xd8f62368, 0xeb0748e5, 0x40aec73e, 0x8131de11, 0x134367e0, 0xb140e64c, 0xafe1d9f8, 0xe98cff98,
+    0x0c8a88cd, 0x450b1d8a, 0x00cd3938, 0x202dc616, 0x2d4332a4, 0x857eb8cf, 0xfa84bb96, 0x52de5a3d,
+    0x17fd34e6, 0x831d6f86, 0x891275e1, 0x10bfce3c, 0xb92bb4db, 0xf01f794a, 0x2d86a4bc, 0xf5c6fe62,
+    0xfe975ffc, 0xcf4764a5, 0xd113758d, 0xf186de56, 0xb00bd640, 0x482f7672, 0x99fee381, 0xf1a160af,
+    0x50f4c352, 0x61f4777c, 0x6848037c, 0x6f97f3a2, 0xc56aa33a, 0xc3a1ff1b, 0xd8b11042, 0x33ee97e7,
+    0x956ef25a, 0xc7d621c4, 0x6dc84c90, 0xec5968bf, 0x7828796d, 0xa733187b, 0x15d8fb0c, 0x3d776ba3,
+    0x3bdccb43, 0xd3fa2f8b, 0x8931a843, 0xb3df1e58, 0x993f63b1, 0xbfefa358, 0xc78f0458, 0x2abc6124,
+    0x0f933f41, 0xe70ed0c3, 0x88eeaa5e, 0x03f054de, 0xe69a4046, 0x2ac95c84, 0x68456bc8, 0xc8f164d7,
+    0xeb640b0b, 0xeb62ee5f, 0x410c2d26, 0xdb799b93, 0x7551c8d0, 0x1d70d314, 0xb01b8fbf, 0x9295b94e,
+    0xcbac1170, 0x4d58c8f6, 0xe0317bbf, 0xd085a237, 0xb1c36c09, 0x7983396d, 0x34c8a48f, 0xc35a3800,
+    0x6fcd0c07, 0x437fc8cc, 0x778ec436, 0x693dbf03, 0x5f15055e, 0xe0a05327, 0x83dd72f7, 0xf4250c62,
+    0x0136b2ba, 0x1d8cb608, 0xadf79e84, 0x796804ea, 0x1bd139f7, 0x2ea09a46, 0xd0a98163, 0xbdcb4b35,
+    0xd6979d23, 0xc4942e43, 0x7c03ca2e, 0x172be622, 0x8453b6c8, 0xf2499de3, 0xd5822a55, 0xa66ddffd,
+    0x4556fd5a, 0x584a513b, 0x9549ae07, 0x5f57de41, 0xc1105327, 0x59cb8815, 0x0d8bd2b7, 0x7ad6a384,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000005092589940836\
+                         21521567111422102344540262867098416484062659035112338595324940834176545849344 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68,
+    0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640417, 0x3c2ce833, 0x287ef4ed,
+    0x00000000,
+    0xca425eee, 0x6cb856c5, 0x2ebf1645, 0xa82cd6b9, 0x27ba80f3, 0xdbc4d233, 0x50bf5432, 0x977bdbad,
+    0xc82efc03, 0xa2f2f5db, 0xc04a2751, 0x3bad163d, 0x12ca90a4, 0x59a6cd90, 0x91bf22cd, 0x3cf22fbf,
+    0x2c9fef96, 0x6d69bae6, 0xa9c1dfa9, 0x6186bbe6, 0x4df63293, 0x845e6b9c, 0x90c0fc67, 0x55435a81,
+    0xb2576e31, 0xf17550f2, 0x50dff470, 0xa6afae0b, 0xe7b6abe9, 0xe4865c04, 0x678da501, 0xd0bd2ae6,
+    0xb9f17182, 0xa92f806a, 0xcaac9c69, 0x4828f9ec, 0xf79f3123, 0xd0070152, 0x5a7b59ef, 0x93fc2331,
+    0xc08c5796, 0x5d1bc889, 0x21888ee0, 0x4d521296, 0xbb53b57c, 0x2c4970a8, 0x0a309f0e, 0xbd1b6da3,
+    0x6b7c9f65, 0x87f726e8, 0x6c89a8a4, 0xdddabb3d, 0x8fb116c9, 0xd860836e, 0xa5139e2e, 0xd2461b1e,
+    0xfc2f2ab9, 0xfcd234a2, 0x5007d886, 0x2657763a, 0x018860b3, 0x9a46fbb2, 0xf44fb873, 0x6156fb71,
+    0xb07fcce0, 0xc55ab60e, 0xcfa24caf, 0xb7fdf8b8, 0x581b2f85, 0xf923b7ee, 0x2569326f, 0xbc9131a3,
+    0x54a7dcc9, 0x38a316be, 0x565de692, 0xaf7d019c, 0x0672991c, 0xaefd3be6, 0x74b06958, 0xcf648dad,
+    0x653b884c, 0xd321e929, 0x415207e6, 0x50c551fb, 0x399f251a, 0x5884c3b7, 0x338ade52, 0xfca847b9,
+    0x230d12ac, 0x6182b74d, 0x902838ae, 0x1e9217ed, 0x7d9b3ecd, 0x43afad2c, 0x0ade5d11, 0xf1d08db3,
+    0xc965f910, 0x530ed7df, 0x9ebfdcbf, 0xee594858, 0x124bf63e, 0xd39cd00c, 0xa46d2597, 0x4bec4d81,
+    0xe4b98d21, 0x61cc96fb, 0xc6ba3620, 0xd31b866d, 0x5d01512b, 0xc2bb73ff, 0xaec9b39c, 0xc33fd3ec,
+    0xf5b29b9c, 0x5b54ba0a, 0xbcde3c81, 0xd9b36913, 0x17bd4ff6, 0x36c2082c, 0x66e68386, 0xd391a832,
+    0xf0ace57c, 0x547c023b, 0x0075d532, 0x886acab9, 0xf4403057, 0xae389c16, 0xaa6a62e2, 0x776c27d0,
+    0x8e4891df, 0xa8abd197, 0x7438eb14, 0x1460bb9b, 0xed2ad3fb, 0xe9a37122, 0xec7fea69, 0x1ab03c23,
+    0x521b78df, 0xa65a9434, 0x43e6f3bd, 0x2b7e9aea, 0x0a516d98, 0xb51963f2, 0x3e980026, 0x3e55cd68,
+    0xa0b21de9, 0xf3347fed, 0xc99730c4, 0xfcc27685, 0x7498ada2, 0x758d1e16, 0xaceb55b3, 0xfb1057c2,
+    0x308a5ddd, 0xb6281135, 0xbe7c1abe, 0x7e5da38f, 0x4b936efa, 0xa177546f, 0x694b5f15, 0x8bb70328,
+    0x8e329482, 0x9a89109b, 0x064ad54d, 0xe6f86c53, 0x96058a17, 0xff17e053, 0x55d7a1fa, 0x32722642,
+    0xc424108b, 0x5e6f991d, 0x02b7d7a7, 0xc43503b0, 0x9a4799ab, 0x0af58959, 0x414b9812, 0x64ab68c7,
+    0xc9e56176, 0x16170e2b, 0xb7841847, 0xc11a5544, 0x6d4d9e47, 0x210b20f3, 0xae743076, 0xac756425,
+    0x9fee6db0, 0xd0bf51b2, 0x202a69cc, 0x9fdd93ad, 0xd671e15a, 0x2e71160f, 0x034b87ed, 0x3b498879,
+    0xca18178c, 0x003e1a9a, 0x027c24b4, 0x06f825de, 0xbdcab8a5, 0x17f891fc, 0x772953c5, 0x284f3c36,
+    0x5fae1b4c, 0xac530e86, 0x661a503e, 0xc08bd00b, 0xf6fa5403, 0x572e7626, 0x4bcef633, 0x9c1c41d5,
+    0x93c1ee18, 0x3c20a021, 0xe7308299, 0xf3c30166, 0x8670b354, 0xfe8fa7fa, 0x854babb2, 0xbd612f2f,
+    0xfc430e43, 0x85b2f410, 0x37656832, 0x8b965e00, 0x3e17bdde, 0xaa4b90b2, 0x68b86d92, 0x80421899,
+    0x285f2170, 0x25d8a6f6, 0xf6ae8f98, 0xdb570e08, 0x12b9a15c, 0xa4a9afb5, 0xf80aae74, 0x8f784249,
+    0xc8c46125, 0xb1fbadbb, 0xf4507d1e, 0x1ffdd30d, 0xf1e73017, 0xfbeff6b6, 0x473fb4fd, 0xb199d4bd,
+    0x2f988587, 0x8c8eeae8, 0x9e608705, 0x4bed6072, 0x3fb586e7, 0xb579471a, 0x0101f017, 0x81c352a5,
+    0x0aad1cd2, 0x993164c1, 0x3990675d, 0x25aed34d, 0x64b6df17, 0xcfb60e1d, 0x71f46e05, 0xfe18258c,
+    0x84db423a, 0x0e24a059, 0x1ae92061, 0x9b442a6d, 0x5be38b07, 0x777ca5dc, 0x38ec5904, 0x206d9fc4,
+    0x4c826d93, 0x22048dfe, 0x0ab087fc, 0x43a94863, 0x77697891, 0x17b41cfd, 0x4e979450, 0x1a1afc78,
+    0xf9b462cf, 0xdc40d55a, 0x60438909, 0xe8d0da65, 0x0875a8e9, 0x0ea661e0, 0x55cc7c55, 0xac4ce948,
+    0xf809a693, 0x2d818c2d, 0x5b38e1a6, 0x7fe5bca0, 0x175fcaa3, 0x0ea96890, 0x33f9bab0, 0x695fb2d1,
+    0x5545ea5d, 0x9ab63c2b, 0x7f62d0f5, 0x5d014254, 0x1bcd4ac1, 0x1665c9bf, 0x0bdd449a, 0x3e34250f,
+    0xb0035a2c, 0x2e658f42, 0x3233c0ec, 0xf29bc4f3, 0x3895f4ef, 0x3af49ecb, 0x32d67303, 0x694cdf34,
+    0xe7230b2f, 0x8a0a27d4, 0x96c8d25f, 0x7312d240, 0xa34c74b6, 0x88edb317, 0x1621864c, 0xd2eeba95,
+    0xf669a9ef, 0xca1e5632, 0x3ea6c4c6, 0x80af37bf, 0x94775d50, 0x4871c971, 0xeb74f25d, 0x73e2887f,
+    0x7ac7f3ba, 0xb4b637f9, 0xa354eca6, 0xdebff142, 0xc4f0cd73, 0x5217a18e, 0x4d7db692, 0x205336ff,
+    0xc0f26b82, 0xdbcb8a2a, 0xb63297e0, 0xb49a6af0, 0x297434b7, 0xe8b81374, 0x63fa160d, 0x5b6f0f96,
+    0x288fff9a, 0x38c01cf6, 0x25df8d31, 0xd35a6ccf, 0x2d597fff, 0x98b94ded, 0x823f8979, 0x1a78aad4,
+    0xe076b15c, 0x50c24445, 0x81fc0221, 0xccc83c3a, 0xca5b12b1, 0x69c82ea5, 0xa8f6f3f9, 0x81ea878f,
+    0xccc523a9, 0x2c2dc440, 0xec754f97, 0x42a39bf2, 0x5aea77c0, 0x1e5cffb4, 0xc4b28c87, 0xafc39d4e,
+    0x47cb6675, 0x5b40dcea, 0xe63a75d0, 0x7720d307, 0xe43a05f0, 0x2cd81662, 0x60203221, 0xb27767c9,
+    0x20108bbe, 0x16043616, 0x9251932d, 0x10701916, 0x7bd26eb8, 0xd10b8fd0, 0xf212a119, 0x7f9ba4b6,
+    0x70934138, 0xc5356274, 0x0270c143, 0xf5d732fd, 0x8d796a85, 0x51836497, 0x8f70cdf7, 0x7a864111,
+    0x37a48d85, 0x03c28055, 0x394d7f3d, 0x9918cbc0, 0x3029b9bc, 0x67a7f11e, 0x6c459e9d, 0xbe4ca795,
+    0x251f991b, 0xbc53b708, 0xf4d11775, 0xaef49485, 0x3721cdc2, 0x1f12b9fb, 0xe41564e8, 0xfca7d473,
+    0x5f35367a, 0xe973266b, 0xf0fd68d6, 0x1808a253, 0xee205a9c, 0xd50d496f, 0xd4e5e89d, 0x163d5b7f,
+    0x3cff73c6, 0xe59301ac, 0x227c2532, 0xac65dd2d, 0xf1045b0d, 0xc8878b46, 0x8abda2bd, 0x344c9f00,
+    0xb65275f5, 0x12296069, 0x2df4f16d, 0x73a33786, 0xa8f91e9d, 0xd285c175, 0x1565b4e1, 0xed2a5201,
+    0x954f80e7, 0x42437ab2, 0xa795d2f4, 0x1f1ef32d, 0x67e9bdb4, 0x9a634b44, 0x9c032339, 0x51d55bb7,
+    0x734acdcf, 0x199fe9e7, 0xcc0674a4, 0xdb625f99, 0x11f3b7ce, 0x6e704008, 0xf7dc01b8, 0x226c4095,
+    0xe1cffa1e, 0x3f529b17, 0xf9df3292, 0x600b4751, 0x023d5914, 0x45dd389e, 0x96772aff, 0xd8cc19d2,
+    0x5d9e480b, 0x35cede3f, 0x4bfd83fa, 0x3294c616, 0x57832689, 0x4c4083ab, 0x94e078f4, 0x575ff87f,
+    0xbc374983, 0xa3e2533c, 0x53101ec6, 0xefc73f78, 0xc1cac63e, 0x060ef52b, 0xa05ccf8c, 0x4d9ab927,
+    0x813e48b7, 0x419b24e5, 0xee74e64a, 0x61d140e4, 0xb5b95abc, 0x6560417f, 0xf243505a, 0xfc3cc92b,
+    0x94964208, 0xeac029b3, 0xd306532b, 0x480f9dea, 0x51a657e2, 0xfa9352c6, 0x0725529f, 0x801494b1,
+    0x6923bf8c, 0xdcfeb4ab, 0x1d527bb5, 0xc3e94297, 0x25a689e4, 0x89e6a6aa, 0x91f8ec12, 0x5df1c027,
+    0xb16bbb87, 0x1a2d03a6, 0x5a3a861a, 0x085c23ec, 0x2953e24c, 0x8490a3f5, 0x592ccf18, 0x13a9216e,
+    0xe17990c0, 0x49467c71, 0x3035f984, 0x479a1b9b, 0x46e40b7a, 0x040cde9d, 0x0632ebd2, 0xd571dc58,
+    0xe93cd57b, 0xfc7de758, 0xf3dae575, 0xdf7ec3fb, 0x03b24647, 0x304bd201, 0x2b96d30a, 0x2491d5a8,
+    0xebdf8ee2, 0x44fcb43a, 0x0ca6ec75, 0x261069d9, 0x067fc8e4, 0x603e006f, 0xc5091e0b, 0xbc34b883,
+    0xcd32e5e2, 0xfe39bb8f, 0x4543e64d, 0x2eed95ac, 0x36955627, 0x7756218c, 0x28c3b0cb, 0x75b92bed,
+    0x302c1cfe, 0x5a41d260, 0xf8321d69, 0x9f5efe04, 0x90dd9e28, 0xed9d93af, 0x88f51327, 0x2d941d30,
+    0xe5521aee, 0xb685fcc4, 0xdfe1c5dc, 0x4385032a, 0x0572c1eb, 0x3d5e2aa5, 0x33691625, 0xf99ecd27,
+    0xa9546111, 0x43f11e01, 0xf08b6300, 0x460b1ed2, 0xcf18ec32, 0x771f7d59, 0x9428eb18, 0xed79b8d2,
+    0x93a6d7b0, 0x93f215c2, 0xe4309082, 0x6b9da104, 0xc1e2b706, 0xf7e47290, 0x7b73cb0d, 0xb0e8a2fc,
+    0x142c9c06, 0x47bd6ac2, 0x2cea2e65, 0x4dbdd039, 0x02cd6c3a, 0xcc97d488, 0xa2f8d82a, 0x073a8965,
+    0x5d5920e4, 0x7723434a, 0x08b7dba4, 0xbc58f426, 0xbc1481c3, 0x2e308253, 0x1d35b635, 0xdcb60cb6,
+    0xccab637d, 0x0cd26ed9, 0x7d971bde, 0xb338dca3, 0xea3f1b6b, 0x280a0600, 0xab6160e8, 0x4c7b7449,
+    0xe89cded3, 0xf2c175d0, 0xae335470, 0x06ae9298, 0xda1e41dc, 0x73a5a94c, 0x6c6195a1, 0xd4488a6c,
+    0x11921c78, 0x020bfb23, 0xe86ddf58, 0x1494c276, 0xc456a89f, 0x87eef3c6, 0xbd540862, 0xae2bfeb4,
+    0xf6a6a220, 0xbac631bb, 0x9a30158d, 0xb2646bd0, 0x7456f1b4, 0x5af36360, 0x1bd42b23, 0xe0fb1d3e,
+    0xe8852f38, 0x2e14dd5d, 0x42e9b7f6, 0x8e5f059e, 0x2d8c6db7, 0x6d29f78e, 0x67958352, 0xe37c7829,
+    0x879c0559, 0xbbca933a, 0xeef64b45, 0x9c905004, 0x7e0016db, 0xebe850b8, 0x2d8a6690, 0xa0b9f291,
+    0xb0d77dc7, 0xd4dd5a6d, 0x688a9e14, 0x80de13ba, 0x2487f9b0, 0xb7c5c4c7, 0x98425d08, 0x39e54e47,
+    0x24b0b457, 0xc13840af, 0x754d2019, 0x29436a47, 0xe662ff51, 0xeabe6b6d, 0x342dae33, 0xe1c3255d,
+    0x29ef3c71, 0xec33d983, 0x3483a425, 0x46416a8a, 0xa849b5aa, 0x7111aca5, 0x0dbc5131, 0x0893d1fc,
+    0x76037c28, 0x2eb0a2ce, 0x76f9c69a, 0x35921eb1, 0xa3d21b80, 0x59457e87, 0x993ea8c6, 0xa91aaa55,
+    0x169eccb4, 0xa701b8f2, 0xb47d993b, 0xc01775b2, 0xcf27a6ce, 0x339f8425, 0x8280e7fe, 0xfbff0dc9,
+    0x0d3f62cd, 0xc1c0bd44, 0x5c0ef981, 0x0a01e5df, 0xba747e35, 0x3e5db5a3, 0xf4413439, 0x6eb7cb02,
+    0xe84264a5, 0x77c1cd0d, 0xbd7879f8, 0xd9666862, 0x67ede436, 0x39681cb7, 0xe15f3171, 0x54fa9724,
+    0x87900f37, 0xa710e7fe, 0xce621e74, 0x6b997532, 0xde434bdf, 0xb663d2ed, 0x678a7f94, 0x5c500edc,
+    0x43d662a5, 0xd8bd57b7, 0xd814183f, 0xf33d99d5, 0x7602b373, 0x298bbd7a, 0x8563ab01, 0x215b89d4,
+    0x733948b2, 0xb8b62bfd, 0x8315a20d, 0x3a6ac307, 0x80715c57, 0xf6fb842d, 0x78c9b489, 0x56ba545d,
+    0x24f728a7, 0x7611cc9e, 0x9842bf97, 0xb5dbe0d4, 0x58af3565, 0xd5773f48, 0xf5a3ccd1, 0x6310d9ed,
+    0x7f3aad21, 0xb6d96509, 0xb119187b, 0x06e8e8fe, 0xf3f8cb16, 0x7cc18add, 0x6feb8463, 0x59da97e3,
+    0x35056570, 0x453b415f, 0x618e8241, 0x9c8cc9af, 0x249a573c, 0xdd6c0060, 0xa19a6c4a, 0x6b35dbf7,
+    0x77054bb9, 0xca5fab1b, 0xa611acc9, 0x75374ecb, 0x3a343eec, 0x946d2115, 0x5fa9bd71, 0xc9abd567,
+    0xd660c1dd, 0x52b9c506, 0x96b75fb5, 0x60964360, 0x65c001db, 0x5f6bedb1, 0x065d8748, 0x5f0eabf5,
+    0xa97e0bcf, 0xea66ff84, 0x3bce64be, 0x1f7c3976, 0xe3b7d2f4, 0x230cac20, 0x6c6e96be, 0x5ddcc83d,
+    0x0c126fce, 0x5895c832, 0x84fbbd30, 0xcfa5a64b, 0x83fa186f, 0x1e2ef0e9, 0x0cb3735a, 0x5d95e522,
+    0x2ee61734, 0x1b565aad, 0xfc9fda4d, 0x9537a13b, 0x2110bc99, 0x04051eb9, 0x498a6907, 0x2fc4e761,
+    0x5cea6f91, 0x7199f327, 0x41379c33, 0x7bcf6541, 0x291ded82, 0x665ee337, 0x26f415ec, 0x82c8e2cb,
+    0xb1dbc186, 0xf9b32115, 0x6bfa9ca1, 0x4f1c2c7f, 0x74713eb3, 0x96237704, 0xb56c9e91, 0x89babe14,
+    0xdf5eec71, 0x6acb4914, 0x39467200, 0x9d096cc4, 0xacd69e86, 0xe61b35bb, 0xa99d9d1a, 0x8ecb4066,
+    0x67eff657, 0x30f99100, 0xefbafff2, 0x265de750, 0xc7682903, 0x01d6d67a, 0xc7a4dc52, 0x8f325c0a,
+    0x1ecb0d89, 0x3ca85023, 0x3b1e567f, 0xee3f709e, 0x00c03c75, 0x7332f68a, 0x49b69ed4, 0xd729d94e,
+    0xe6154a25, 0x365dfde4, 0x8ba6bc55, 0x9be74702, 0xc44eb2b8, 0x4867fc28, 0x127275da, 0x8ee6fe54,
+    0xdf33bb55, 0x0bba5123, 0xd4b9c637, 0x02ebb478, 0x0c2eb16e, 0x60c478b1, 0x252bffaa, 0x250ec0ff,
+    0xa778114e, 0xccc8061c, 0x18c5ed6a, 0x1ade538d, 0x703737c4, 0x880973a0, 0xc9bfaed1, 0xdb3dba9b,
+    0x36a165dd, 0xdbb371d4, 0xf832fe9a, 0xb95eb93f, 0xfa37d2b7, 0xfcb7dd3f, 0x71fcafdc, 0x54aff4d3,
+    0x9439dee7, 0x9c4d3d7f, 0xf8d2f9dc, 0x35bab473, 0x3be41f6a, 0xb8307d73, 0x8b0b409e, 0x4808f9f6,
+    0x2cfb6529, 0x54dfb26d, 0x5c34aa0e, 0xbebd4d2f, 0x205fd77c, 0x0d78fa33, 0xd319e037, 0x8df4d262,
+    0xbd1e32a9, 0xe7ca07cd, 0x438381c0, 0x26888497, 0x087ea02c, 0x8996916f, 0x57b006a5, 0xbaec527e,
+    0x4ee1a299, 0x18a9cfa8, 0x49ac94ae, 0x94c8a57e, 0x18831a70, 0xd3301540, 0xcd06cb4b, 0x0ac5bbf5,
+    0xe46f1118, 0xdae5dda8, 0x83c1aba5, 0x953c67c1, 0x1ffb734a, 0x4df7cec9, 0xb51df228, 0xfdf60e0a,
+    0x9c58d12e, 0xbd0f8ca6, 0x37387354, 0x08966893, 0x90ce2dec, 0xc14a0c28, 0x3c111bff, 0xe24e8c63,
+    0xe28a5fa6, 0xafb5f7a1, 0xe683905a, 0x103b66e3, 0x06039083, 0xae6f7fa7, 0x09decf02, 0x37577b5c,
+    0x585e30d8, 0x138d89b7, 0x9658a5d1, 0x4b063f51, 0x9c1435ff, 0xc677f156, 0xc5b47eff, 0x720a0fd9,
+    0xb65532ee, 0x870a76bc, 0xa3e0f85d, 0x3560c779, 0xff56d1f4, 0xb8e1b830, 0xd2f5b079, 0xd83b2c3e,
+    0x8b160833, 0x28a5dfbe, 0x330e5063, 0x2e2ce4ba, 0xb776ca71, 0xd0a2cac1, 0x6ffb328a, 0x8b5d9bcb,
+    0xa189716d, 0x489d630f, 0x5ef0fbb5, 0x60e0dce1, 0x756e8f28, 0xf704b816, 0x22f66ea9, 0x32190556,
+    0x2f81b603, 0x115b67ad, 0x2434adbe, 0x720ebf91, 0xe6c08483, 0x60539b48, 0x16dd9a00, 0xbac8cf00,
+    0xe2d07a53, 0xae642499, 0x067336e6, 0x08cadb20, 0x65ef40a2, 0x64837058, 0x1462a150, 0x13809730,
+    0x0e102f40, 0x0ce72a74, 0x1772ffcc, 0x514fcb27, 0x10d1d44d, 0x892759d6, 0xdc9fd030, 0x6790da8f,
+    0xad4bc2e6, 0x59ff7164, 0x2d795653, 0x05989503, 0x625cb089, 0x6ebf5fb8, 0x7fe39c32, 0x1e97a19e,
+    0x77f9b99e, 0xcac545c3, 0x82f556e6, 0x2bb7d6ec, 0xf6dd2e30, 0x6242d341, 0xe208389e, 0xc6d5413c,
+    0x7cd2f6af, 0xe11b3762, 0x898b61a8, 0xc4624590, 0x24ca9ef8, 0xf96b62d2, 0x04fe82f8, 0xa5ab26ff,
+    0xbd2aaf67, 0xa571b411, 0x320fcf9b, 0xdc69fd3c, 0xd2a49ec0, 0x0035f81e, 0xe58112c4, 0xfafcd7e7,
+    0xbe52980f, 0xe8847d38, 0xa7e6b541, 0xf3bd8008, 0x88e434df, 0x384a23ca, 0x724fb704, 0x09d6d706,
+    0x182a9bec, 0xbfa4f91e, 0xb803655f, 0xac304ee0, 0xf371b930, 0x68b987b3, 0x4a754ad1, 0xcc9b52c3,
+    0x1ca27c03, 0x383a5f4c, 0xb44e547e, 0x47621847, 0x62d6c101, 0x7acb2427, 0x53020724, 0xc1dc4036,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000002546294970418\
+                         10760783555711051172270131433549208242031329517556169297662470417088272924672 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34,
+    0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020b, 0x9e167419, 0x943f7a76,
+    0x00000000,
+    0xa0e6b2da, 0xad2cef38, 0xaf56c61b, 0x1351c4be, 0xd560fe98, 0x9ab7422e, 0x00f4ec45, 0x409d2a53,
+    0x978e20bb, 0xb4688b93, 0x51dbd37f, 0x86c9e9dc, 0x3e440e49, 0xf3a83111, 0x893e4b28, 0x34a0d1a3,
+    0x827d7e0d, 0x6f9ab5c3, 0xd667a8eb, 0x5795a6d4, 0xf430a35b, 0x0be4ec73, 0x943b7521, 0xab6b06df,
+    0xd88f4dfc, 0x9840b184, 0xfd2d1bf1, 0xd141287d, 0x0626b590, 0x656bff70, 0xd1d89c7b, 0x29f36baf,
+    0x8cd57629, 0xc5967c21, 0xa13ebf4a, 0x666c784f, 0xd71148c5, 0xb82a7cd5, 0x9a41a64d, 0xd7cedd04,
+    0xa4edc38a, 0x574ccff2, 0x43d0aa6f, 0xca746105, 0xfde01475, 0x9c3e9d52, 0xa568b967, 0xd6be9886,
+    0x2b74d910, 0xf280298a, 0xfa1392c1, 0xf09b54bb, 0xf77aeba1, 0xfe98b391, 0xf86a5859, 0x3ce229dd,
+    0x00f6ba0b, 0xaa951e60, 0x7d01d421, 0xefffc507, 0xd8c90fc1, 0x8601268e, 0x5d43e8b3, 0xa54f1e58,
+    0x97e2fbae, 0x416a0aa1, 0x65165e0d, 0x2ccc8116, 0xf69a76ce, 0xe48e390b, 0x9e804ac8, 0xf052619c,
+    0x2f0eb8e3, 0x899557fa, 0xd9be440a, 0x96d60e68, 0x819f690d, 0xc69d3a84, 0x7ad06387, 0x9a95bd0f,
+    0xfdaffe0b, 0x3bc1563f, 0x4c501946, 0x4d49398a, 0x336cbb45, 0x88bf763f, 0x6b144f1c, 0x435b7788,
+    0x67b08dc8, 0x6651044c, 0x1eb35d33, 0x6db2af19, 0x4a09639b, 0xf2bb56d7, 0x723e75fd, 0xa558ed3a,
+    0x5637ccad, 0xf8c9f540, 0xefd1d610, 0x1bb64e46, 0x8f2d0431, 0xbce7a8ad, 0xe5aae4fe, 0x68e9c2ee,
+    0x4cffb9b9, 0xc7bdc692, 0xc79c2cce, 0x56400c1f, 0x58bf5132, 0x80c4ed6a, 0xc4a67201, 0x624fa8e4,
+    0xc0041085, 0xaf0ef19f, 0x46cb76df, 0x061881a7, 0xd870d220, 0xf0ed6bd2, 0xe90f87e2, 0x01370aaf,
+    0x79fc0c1e, 0x81ff60cf, 0x9886acb9, 0x45b281b9, 0xf60f2541, 0xd859c07d, 0x5c7fe354, 0xd424136a,
+    0xc291ad7b, 0x7177fe31, 0xafe7c924, 0x7c30e71d, 0xba0d201d, 0x67e93d85, 0xbc15e625, 0xa81e9ec0,
+    0x6c1f1ef7, 0xbb81a22e, 0xb37c5ece, 0xea8a7d8b, 0x7422d0dc, 0xc0b47c6d, 0x833fc522, 0x457e3b10,
+    0x9ad4268b, 0x583e56b1, 0x3ceb0970, 0xc6caeb0f, 0x58317ce9, 0xa1e34960, 0x97648125, 0x1bc1529b,
+    0xa1700959, 0xd715eee2, 0x48f959b9, 0x6849c10d, 0x782a85e0, 0x5a348486, 0x9f8e2ff7, 0x302559ac,
+    0xbd19bab6, 0x76365e59, 0xd72cb0ef, 0xcaf19a98, 0x4a43669c, 0xbff7acaa, 0x9a65d853, 0xe1f470ed,
+    0x01a5189e, 0x6bc89e10, 0xa055ad57, 0xc3bca7e7, 0x5af8f171, 0x37d2fa49, 0xc9d6e71e, 0x197e7676,
+    0xf63f725c, 0xeb7fd937, 0x5c83bb02, 0x76162775, 0x24ec5822, 0x0059f10d, 0x850d9e21, 0xa87dec62,
+    0x8b3208ec, 0x4c8dacca, 0xcfa3c5b4, 0xbf8b73bc, 0xeaa49d13, 0x957822fd, 0xe8b25b22, 0x2baaef8f,
+    0xac88ea21, 0x05325f58, 0xcae2a674, 0xcea4fa4e, 0xcb51e512, 0x748dcd25, 0x4b68c7fb, 0xc51ff078,
+    0xa4f00c01, 0x7260fb98, 0x5f64ecda, 0x4e4be0d7, 0x675411eb, 0x2d633066, 0x27973923, 0xe40a4b4b,
+    0xdee2f04c, 0xec1c2d8d, 0x8bfb599b, 0x56c75ed4, 0x594747bd, 0x50ccd7fa, 0xac48251b, 0xe691a442,
+    0x9cedca13, 0xc50e8f8b, 0x0c724e3e, 0x82d2c6ea, 0xc823316e, 0xceaf35fa, 0x154c4b4e, 0x63559264,
+    0xc684f1a7, 0x742d5504, 0xebea85a0, 0x3f2a49a9, 0x44d5c01a, 0x3f38cffd, 0x1fb1b79f, 0xe40cb769,
+    0xfc783bed, 0xdffdd308, 0x854cf848, 0x10c5e416, 0xc529f642, 0x9352b4a7, 0x3ae1c5e4, 0x1a3a1cae,
+    0x9898a72f, 0x9ee5f713, 0xc7a442a0, 0xdc1fd08b, 0xbae01c97, 0xb460ef0f, 0xac510b3d, 0xff895389,
+    0x1c558705, 0xabef3ef7, 0xaa9254a2, 0x43fba82a, 0x854be35f, 0xb8b684ce, 0x59ec4b7a, 0xb771875a,
+    0xdf0a753b, 0x5af83c92, 0x7f44fe8e, 0xd5e3eec8, 0xe7c0fa44, 0x4deac1c6, 0xeb714623, 0xda79441b,
+    0x4ae26206, 0x129a169f, 0x05ef02b9, 0x7208ec27, 0xb4a0b5c2, 0x13844045, 0x7d5214ee, 0x6b43a8af,
+    0x7e415379, 0x4a03ad02, 0x12f6ea5b, 0x9a705cf2, 0x00611468, 0xfe352ecf, 0x31d9228a, 0xaa0aef93,
+    0x35d69a52, 0x3ec3fd1f, 0x1052dff1, 0x7ceccc85, 0xe6c180bc, 0xb07adc8b, 0xcf4e4fed, 0x8d6ad1bf,
+    0x51afbc80, 0x55211487, 0x195e1d6c, 0xf7427297, 0x582c3668, 0xca728cbf, 0xa5cc1105, 0xeb127dbb,
+    0x2039d6b4, 0xcd9c3fe2, 0x1fed1f7c, 0x12a3a211, 0x35b85577, 0xdb418c37, 0xf2e723cb, 0xace84810,
+    0xa1dfbc64, 0x539f9a73, 0x9c111ab5, 0x5d4aa7df, 0xe2ba5c31, 0x10a3c0fb, 0xbc6112ce, 0xb80fd392,
+    0xb23a3ff5, 0x77442f18, 0xcca55a73, 0xff335c2f, 0x11ac6e71, 0xb6bed949, 0x34a3bfc3, 0x9b4fa4fb,
+    0x894339c9, 0x6eb1843f, 0x03a61e5c, 0xd041d1fa, 0x726c12ae, 0x41d26963, 0x9448546d, 0x92d714b1,
+    0x24a9ac8f, 0x39af1714, 0x0b2a561c, 0x4eccbd7f, 0xe213fb1a, 0x78446f07, 0x078950bf, 0x51704118,
+    0x7dc7c198, 0x545ab040, 0x0be15d52, 0x6e67525f, 0x03ee22eb, 0xf1b45ff8, 0x79ceb953, 0x4a3860ab,
+    0xe863d40d, 0x5e630873, 0x7479a1df, 0xdf42ed7a, 0x7be291c8, 0x494dbf55, 0xc375ab7f, 0x933c76fd,
+    0xb7b24431, 0xa8c8a562, 0x566b53e8, 0x70a8bf70, 0xa9aa94a2, 0x99ff8aea, 0x4cf423f5, 0x79300f66,
+    0x03318565, 0x22ebc037, 0x91a8732e, 0x5a938900, 0x804bce53, 0xc758ef6e, 0x04d357fa, 0xfd1194fd,
+    0xec07a236, 0xaf1d7a5c, 0x2d0c3919, 0xb1d36af2, 0xc5f92c69, 0x48e46be9, 0x63b25445, 0x2d1c193d,
+    0x7ba70b06, 0xa379d81b, 0x27cc0514, 0x50d30ed3, 0x698cf5e1, 0xbce71195, 0xb92fc73c, 0x409341f7,
+    0x196b23a0, 0x6e94bbf6, 0x88028b99, 0x28f8e737, 0xa0284d02, 0x28471c50, 0xc6c76743, 0x79de53ac,
+    0xd543dd6a, 0xb3ea8d44, 0x6e30c814, 0x3f6c6c8d, 0xf8b40e12, 0x9f4914a7, 0x56fc27aa, 0xb3665122,
+    0x44cda16c, 0x640e8e04, 0x42a1ecf1, 0x0413e945, 0x8947946c, 0xe5bf3fe4, 0x317cd966, 0x569e962e,
+    0x1880666f, 0xa83f28af, 0xd9e80fe8, 0x61089f97, 0x4562e5af, 0x145a1a4e, 0xa7af0437, 0xea535593,
+    0x6b6aa483, 0x9c842996, 0x3798828b, 0xc52ae907, 0xbd1b5aa4, 0x2249a2a6, 0xf5d1919e, 0x3aa67d88,
+    0x46476dfb, 0x8ffc89a1, 0x63cb4bff, 0x998e29c2, 0x2e2ef8e1, 0x0803ff7d, 0xdceb2253, 0x5019492c,
+    0xa0df4ed6, 0xab20da48, 0x90c9ec5e, 0xb7aa5065, 0x53c0b911, 0x2813ac4b, 0x64156903, 0xf962515b,
+    0x305082b4, 0xba0408e3, 0x1de95247, 0x81929c3a, 0x9477fb24, 0x94983a66, 0xfff48afd, 0x0eafe0d7,
+    0x03d0b1cc, 0x80ba69ba, 0x30e0fa92, 0xd01eeb95, 0x668f39ac, 0x8356efb6, 0x8eb54415, 0xa10d8406,
+    0x4e677558, 0xc2155342, 0x0731cd72, 0xea5b19cd, 0xa5e1eb9c, 0x7e1168db, 0x4f317a0f, 0x06962d93,
+    0x64e4b6b6, 0x2ea8b19d, 0x96efebd6, 0xa446e6f0, 0x619f36ae, 0xbfb09ec8, 0xb5bbeda7, 0xdee45208,
+    0x6453f227, 0x63c2ab51, 0x61794283, 0xf74af29b, 0x6974a075, 0xfd56b241, 0x75cfa177, 0x8837caf4,
+    0x38a113c2, 0xf853ea67, 0x7bca053d, 0x2debd4b9, 0x0b56dd5a, 0x99a7b86c, 0x8223a8eb, 0x72c59eac,
+    0xdc210ac1, 0xfe7a2735, 0x63790d62, 0x9f6a8052, 0xe3906220, 0x8da16f9b, 0x109d22b3, 0x638e4a53,
+    0x50196673, 0x90d90bc5, 0xf72ddb23, 0xd99e9fb5, 0x365f6fd8, 0xc4e8158f, 0x75b90beb, 0x52d4391c,
+    0x33c7cd07, 0x799843ae, 0x313afabc, 0xa9387d67, 0x66832be9, 0xa92e74eb, 0x4e565da3, 0x3d2bae08,
+    0x0a3d2b3b, 0xae4a140f, 0xbd101b21, 0xbb5032da, 0xa066ea3a, 0x95c78372, 0x94cf2578, 0xa9fc2064,
+    0x18e15d78, 0x5ff4c004, 0xed4efd84, 0x84ab3a68, 0xac05ae18, 0x70e12063, 0xed059c23, 0xc248783d,
+    0x6d197ec0, 0x6375feed, 0x343366c4, 0x79f18426, 0x6f78bfc5, 0x132df164, 0x53558529, 0x28ab81a1,
+    0xd7265950, 0x9b7b1502, 0xff0c73c5, 0xfce7e03a, 0xc07f3278, 0x0467f7e6, 0xe042d230, 0x0b53617b,
+    0x8922aa51, 0xe31c275c, 0xed15be17, 0x8f243983, 0xf8853fc4, 0xb6a2a89b, 0x29a5f7c1, 0x3d148cad,
+    0xf27a34c0, 0x59e6cf58, 0x50eeb050, 0x95df42d4, 0xfdb100f8, 0xc189d5af, 0x5aed0347, 0xd0cca3b7,
+    0xb54c40d2, 0x094e4925, 0x9b54937e, 0xcc2b771d, 0x4f86bc78, 0x47bb5118, 0x9f864347, 0x7a2f4633,
+    0x111183a4, 0xa2290c5f, 0xcf59b248, 0x054370f3, 0xdc8f8796, 0x4b0474c8, 0xeaab350d, 0x917ba445,
+    0x83b60ab4, 0x54f14d78, 0x9281fee6, 0xe1e91abf, 0x9720c67b, 0x997357a4, 0xddc29888, 0xe3e26347,
+    0x3b5bc05b, 0xeeedc80e, 0x6dcb462b, 0x49f9cde4, 0x3b17fcb4, 0xa282ae2b, 0x80d8c59f, 0x1cf4947e,
+    0x8341dc00, 0x54f771e3, 0x2d00d78b, 0x7fbaea24, 0x8cc02236, 0xe1b96905, 0x53fa14e5, 0xc873b6e9,
+    0xcf814071, 0x929e8b07, 0x7dbd9456, 0x16422523, 0x417a659c, 0x99385306, 0xe865cf17, 0xaa8ad279,
+    0x80062b8b, 0x227c9fe7, 0x7e5f77b2, 0x04356fa0, 0xb00b1e0a, 0xc4da35df, 0xa96ba19e, 0xe14e9e15,
+    0xf6ad04a7, 0xa626b77c, 0xbb13a5d2, 0xda30de94, 0x6e623e8f, 0xa8dee7e3, 0x7bfb0571, 0x4e4e088e,
+    0x8a8929fb, 0x91965e32, 0x9de07718, 0x5a941cec, 0xb46201ce, 0x159c9b15, 0xa719079a, 0x4f032254,
+    0x5bbe9500, 0x2a4cdb98, 0x4825a584, 0x45ec6059, 0xc1f0a41c, 0x44d2f9fb, 0xdaa506c2, 0x7a84848f,
+    0x148620f0, 0x3263cac9, 0x7a1c7a7a, 0x27b046ed, 0x862469f8, 0xa390c7ef, 0xc79bff0f, 0x74cbf555,
+    0x22da576b, 0x0ee195a5, 0x34f71858, 0xc179f76a, 0xa0c9df7f, 0x5eb0b9d3, 0x5a12f162, 0x0e202555,
+    0xf614c3d2, 0xe85cd4c3, 0xa8571eb8, 0xdd5ff8e6, 0x59be1b24, 0x1589e25e, 0xcde377f7, 0x2a30ad58,
+    0xb2b0d32e, 0x03dc36cb, 0x712dc629, 0xb1f63592, 0x376f2b0b, 0xc08388b2, 0xd35e74c6, 0xbb6fd6eb,
+    0x67331247, 0x9463d2bc, 0x1b13cded, 0x9bce3d37, 0xaecfb96c, 0x533de2c2, 0xacec58af, 0x9901c67e,
+    0x9ba1bbed, 0x5e1d9914, 0x950da110, 0x2b438b89, 0x2da0719e, 0x67f67a63, 0xd4568a5f, 0x639ac9e5,
+    0x09a12d53, 0x2799b0e3, 0x1ddeaf1e, 0x2e031e89, 0xa5058bd7, 0x33b1a510, 0x1dc11ae8, 0x325b6bb0,
+    0x665d4a66, 0x47eddc2d, 0xb77213f0, 0x4a997e55, 0xa8d211fd, 0xf25006e9, 0xf4e03d7c, 0xdb657581,
+    0x8604499b, 0x84ff2a6e, 0xcf9179c0, 0x1ec9e6a8, 0x791e8617, 0x862c4276, 0x1ce0d18a, 0x364fc49e,
+    0x2e78f0c1, 0x393693e0, 0x1ceac4fe, 0x7674e089, 0xe35884d1, 0x82203954, 0x645f16ce, 0x382eedaf,
+    0xacf0ef52, 0x6c0561cd, 0x1acf5026, 0x748b0122, 0xa499ab38, 0xf4f6e298, 0xbc19c3e5, 0x33d693cd,
+    0x1b212ac0, 0x93b868f4, 0x6b67aea5, 0x4d0f84d0, 0x812dafdf, 0x1b3269b6, 0x1c4693bc, 0x1a81cda3,
+    0xcb36ad51, 0x707389c7, 0xf31624c0, 0x4d3591de, 0x3e20930c, 0x9d1a6561, 0x911b7e0d, 0x50389d92,
+    0xc6f49f99, 0xbb354d0e, 0x8b9eb3c5, 0x8624b08d, 0xdf7491e2, 0x18bb3307, 0x19e06a8c, 0xb15e4d30,
+    0x41137b8d, 0x5fae1acc, 0xb7534d4a, 0x49c5f1bd, 0xed7a4c24, 0xd7e1600b, 0xd736d311, 0x275c6bcb,
+    0xf1d34d79, 0x6d9ca170, 0xd6a39355, 0x6a5f3745, 0x4f7ada0a, 0x69621966, 0xa7212494, 0xe693c0ee,
+    0x41b90557, 0x6159782e, 0x50085cd6, 0x4da46bfc, 0xc333dc63, 0xb8c4c982, 0x7ffa325a, 0x31176a91,
+    0xcc95236d, 0x47700d3b, 0x7f528563, 0xfc6d280f, 0x2f2843a8, 0x841955e1, 0x0589c4f4, 0xc72b604c,
+    0x9ea25cdb, 0x7d343408, 0x588dd2ed, 0x5157d0fe, 0xa38ba717, 0x169e5858, 0x0d4ecebb, 0xf51aaf67,
+    0xb6b49f33, 0xd016f089, 0xe0e42824, 0x463647a2, 0xd155d30d, 0x18e8aefe, 0x3316697f, 0xa4e3acd3,
+    0xc9385804, 0x17632a76, 0x339bcadf, 0x981c8a0c, 0xa52a7604, 0xe4d5ebd8, 0x1d8393cb, 0x903f6d13,
+    0xca3f5507, 0x3c24cc98, 0x8cdc059b, 0x806a8409, 0x0e740000, 0x919b78b5, 0x6c31297a, 0x2e3f53e4,
+    0x09b48bfa, 0xefd27221, 0x13e74251, 0x89de898d, 0x586672df, 0xad12b530, 0xc3cdff73, 0x64447073,
+    0xccf2695b, 0xdd04af01, 0x2bea07f7, 0x8e1c6871, 0xddddeeb0, 0x59099dfe, 0x835c2344, 0x7c9d67bd,
+    0xa2a5d15c, 0xaee68e0b, 0x6b3d34be, 0x1e9cb8f5, 0x468f5a38, 0xf22e9796, 0xb6f16dcb, 0x0c9462be,
+    0x3c073e37, 0xeb0e21e1, 0x6b2a7898, 0x70e3c5bc, 0x57bc6e54, 0x6c71d442, 0x6634cf85, 0x1e99af3d,
+    0x798a1c3c, 0xfb884f58, 0x481aefac, 0x0660f245, 0x580fad6c, 0xc114f395, 0xbb370ab2, 0x9a0b0bf6,
+    0x1a1b044e, 0x832e438d, 0x9c43ca29, 0x1f853ce9, 0x5d147c56, 0x0030c3ff, 0xe4d46fa0, 0x8c107484,
+    0x64da5863, 0x098af715, 0x1b9d6a29, 0x202024e0, 0x8ff9a9cb, 0x63385bb9, 0x8073c382, 0x50be3fe2,
+    0x28b2fd02, 0x582e57b7, 0xc8663be1, 0x28fbd47b, 0xbc11c837, 0x03d13b0b, 0x825c193a, 0x83a5eea9,
+    0x323df5a3, 0xf6e4741e, 0xa1667083, 0xb00cd1d1, 0xc860d061, 0x7d8c7da2, 0xd2f77bd5, 0x8358b9c3,
+    0xa9da82ff, 0x99f9858b, 0xf2197657, 0x128138d9, 0x17e4980e, 0x152b7651, 0xa0b18822, 0xda80369f,
+    0xa11e259e, 0x63f7d983, 0x9da982ba, 0xe1b212d3, 0xb406a540, 0xb6e0d3e6, 0xb25c2d7c, 0x14f6de03,
+    0x4f495b95, 0xc1af093b, 0x7fa4a2cd, 0x079e1f45, 0x0eca2def, 0x1c157715, 0x3d44c912, 0xa36807fe,
+    0xbe37d070, 0xf98e0e4f, 0x5beee565, 0x01f43e07, 0x271b6bf6, 0x46c734c3, 0x51696e51, 0x14a43713,
+    0x722fe70c, 0x651de184, 0xb53744c9, 0xe926d792, 0x95423eb5, 0xaa67b0d9, 0x2c573b22, 0x19a118db,
+    0xf7f3817a, 0x5569fd07, 0x8fb8f409, 0x7d57925a, 0x58782e23, 0x62015a78, 0x31acc62d, 0x67bf9214,
+    0x77d6c670, 0xd286df7d, 0x4e1d6493, 0x06529908, 0x0866316f, 0xe2570dd3, 0x1e2064b6, 0x85c6c3ad,
+    0x1e5ca539, 0x8ff97cbc, 0x19ef6215, 0x053cf52c, 0x8f7e2610, 0xf48cbb9f, 0xc58c7bc6, 0x801ab678,
+    0x69e4f8a2, 0xb17a9034, 0xce56143b, 0x23fb3bad, 0xabee91d0, 0xb69e9296, 0x07a7c6a6, 0x58430cde,
+    0x2a1b0af6, 0x17f29788, 0x362f09c1, 0x1b76de22, 0x2f97cbbf, 0x2cf380aa, 0xb33c65ee, 0x8d76b7f0,
+    0x0f08b2d8, 0x83b4fa41, 0x1dc16e96, 0x742a4745, 0x26ed5488, 0x721c0c5d, 0xbd8b407a, 0x7e7b698b,
+    0xc9aac2c7, 0x834f600c, 0xa1175c1f, 0x2290a89b, 0xe136179d, 0xad300490, 0xafb6c3ec, 0xea7cb8b5,
+    0x137f255b, 0x808a7767, 0x78c14213, 0xde4c53bd, 0x993612dd, 0x80323de7, 0xb5dcb01d, 0x638248d4,
+    0x5355e7d6, 0x0cee78e0, 0x360f21e3, 0x93ccef21, 0x4cf60fd9, 0x309df676, 0x92683b47, 0x6175fecc,
+    0x76a47d6f, 0x95d7d9b7, 0x634f3f00, 0x69e76a2b, 0xc98da48b, 0x08e84fe9, 0xcd798408, 0x980e04ba,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000001273147485209\
+                         05380391777855525586135065716774604121015664758778084648831235208544136462336 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a,
+    0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590105, 0xcf0b3a0c, 0xca1fbd3a,
+    0x00000000,
+    0xcaf4757d, 0xc7e8f63f, 0x0cf5d46d, 0xf0ecc428, 0x307abcbc, 0x3d2261c1, 0xaa4ff140, 0xec7eec53,
+    0xb8c14226, 0x30628f36, 0x035e7690, 0xa5853d22, 0x54f8ad2c, 0x1d27bffa, 0x19c4b7c7, 0x69aaf3fe,
+    0xc6a56c00, 0xe2e9722d, 0x28953e6e, 0x684287bf, 0x7621b70c, 0xa32e6dea, 0x8eeafb56, 0x290a321e,
+    0xddb0ac61, 0xb6d3f7dd, 0x988d0029, 0x385a2296, 0x165f2f65, 0x9d76165e, 0x95430ae5, 0x6a170a92,
+    0x430c0a30, 0xbe90fe47, 0xc0da977b, 0x02b600f7, 0xe3a9c6ca, 0x80fad68e, 0x2d3993fa, 0x8319abdd,
+    0x2413680f, 0x67a3d329, 0xac3b7e7e, 0x3aa82543, 0xb3bf0164, 0xe481412a, 0xaedf4a69, 0xca9faf11,
+    0x01405cd9, 0xb5f2d1a3, 0xe2541651, 0x058a173a, 0x68b26c5d, 0x9e11b12c, 0xfce806de, 0x01aa87e9,
+    0x101c4b1a, 0x2e547f9e, 0xb62615d7, 0x7b39a071, 0xdb4eb642, 0x706a2d6c, 0x154e9452, 0xb7a43247,
+    0xdc47178a, 0x95d283b2, 0x3baab0b2, 0xfc806a54, 0x3c6b33c7, 0x58598781, 0xaeb9fd72, 0x879a5443,
+    0xe0cd3136, 0xd3d9dfc7, 0xd58f16dc, 0xe549ad05, 0xf04e526e, 0x7d35825d, 0x9d9fb528, 0xc237bcf7,
+    0x6d0c1ba2, 0x2e8956b1, 0x88e12dbd, 0xac560182, 0xa11cfc51, 0x67c705b6, 0x16cd9665, 0x5fa12f2c,
+    0xf3467f80, 0x89d4a391, 0xf7f97969, 0xb2bd4b88, 0x49877265, 0x79005351, 0xf8f7ba5c, 0xfc2cd4db,
+    0xd64df538, 0xabe3a26d, 0xc3cf8416, 0x43060453, 0x0ddfed87, 0x157a9372, 0x3f7126da, 0xd87ddc8c,
+    0x0e16579b, 0xfdad2f72, 0x060efd61, 0x618e98c9, 0xdbdbe99e, 0xb7f4ee87, 0xa5200c32, 0xfe324f4d,
+    0x4e72188b, 0xd76d2598, 0xb26a2f03, 0xc2dc09e8, 0x6f594afd, 0x03ae76ca, 0x08ede2f3, 0xfdca6c42,
+    0x336564fb, 0xdfde50b1, 0xff26effe, 0x95824eec, 0x5550036f, 0x79857681, 0x5f4163a6, 0x5834cdad,
+    0x80f1c5c7, 0x199af9ad, 0xfb2fb2e8, 0xeccb51e1, 0x3f6a3726, 0xdaf9d2f2, 0xc6be3ac9, 0xc873b93e,
+    0x44babe72, 0x565b6965, 0x1ac1703a, 0x61a89af9, 0x1dcafb15, 0x3adf7297, 0x6e1fd32d, 0x5b626fba,
+    0xcb5e443b, 0x49860129, 0x6ab388a4, 0x5184eecb, 0xebe8445a, 0x0cb3ad7f, 0xe0450df3, 0x5fb46b22,
+    0x9a105594, 0x018a2941, 0xc33359f7, 0xc39c2549, 0x08ee29c2, 0x906ad43e, 0x27e15061, 0xd3c00f70,
+    0x3b553410, 0xf8ccb89c, 0xbb3d1448, 0xba241c86, 0xf4c90dba, 0x1ff69903, 0x28bd493f, 0x5a7175ea,
+    0x5d1acbf4, 0xa75127e9, 0x7f05e1b7, 0xdfd83529, 0x91f1a92f, 0x6decb0e2, 0x105ecf03, 0xcce5491e,
+    0xe9448ab2, 0x2ff783a3, 0x12d2265d, 0xf9f30543, 0x84ea29f2, 0xee7c89cf, 0xeb5c3bd2, 0x31fb376d,
+    0x13a65d00, 0x0389cacb, 0x67fb8e71, 0x1aa8a3e8, 0xc4f712d7, 0xcecf97e1, 0x392a884a, 0x616e7763,
+    0x3c10a965, 0x64ddb5a9, 0x4a09f66f, 0x71fc2e77, 0xddf120a7, 0x0cf3a593, 0x898fab7d, 0xbaf3d5e6,
+    0xdd95c795, 0xae0bd0b7, 0x5d92e775, 0x2b8d9b39, 0x9b9da14b, 0xd4007646, 0xe16e940d, 0x50be40e7,
+    0x9ca8c849, 0x757265cd, 0x5aa78d01, 0xff61f7cc, 0x8164a7d8, 0x29c544f4, 0xd924a2f7, 0x431ebf4b,
+    0x50e6742d, 0x8f71a6b8, 0x7be7ea6b, 0x8a4df381, 0x8cf9d7a6, 0x8d542a9e, 0xfd56e8ef, 0xb75ea5e4,
+    0x16ab5245, 0xafd0860e, 0xfe749027, 0x23db4f03, 0xa14b4754, 0x4b46bea0, 0xe29aba49, 0x051fafd0,
+    0x0d9f09e7, 0x2271d90d, 0xfdcfc3eb, 0xf1879fde, 0xc0ca4b0c, 0x173ebf58, 0xad99c25b, 0x99348be1,
+    0xf80dc377, 0xd72801ad, 0x1c5db34b, 0x4e9c9613, 0x2cee73e6, 0x17d96d48, 0xa7c944ac, 0x263d493b,
+    0x62554a7c, 0x3aa3ebdd, 0xb183085a, 0x0280acff, 0xb3731edc, 0x375e5cbb, 0x3514eca9, 0x3b47bb9c,
+    0x6e33561d, 0x9efcee65, 0xdbcbd94f, 0xd3dc595c, 0x72dca4a6, 0x722d3483, 0xdc259f34, 0xd179c50a,
+    0xcadc0264, 0xe6694354, 0x0fe33461, 0xfa50c902, 0x37294dc5, 0xb46b626d, 0x968a224b, 0x8ce6781f,
+    0xe4eb147c, 0x48b9a651, 0x2e213580, 0x65ce7b6c, 0x9e38cc94, 0x738f8230, 0x7511cdfb, 0x6e4992a8,
+    0x3d4992cb, 0x0e5fb1ee, 0x77526666, 0xadd48371, 0x20c76a49, 0x33536a6e, 0xf5d89ad3, 0x7b7aac3c,
+    0x5080f7bf, 0x719a7d2a, 0x107d36a0, 0x26ad4e20, 0xd7bc6e18, 0xba1346bd, 0x3330972e, 0x81a2b17d,
+    0x9ad3cb71, 0x4016a001, 0xf07c6c8c, 0xab13f506, 0x0e3d3e20, 0x5ea3f7ba, 0xa31939a5, 0x12ef0306,
+    0x57a6f248, 0x8118b3ba, 0x70ce0a66, 0x3c778bc1, 0xa8e783f0, 0xa175018d, 0x6f186d52, 0x61d0586e,
+    0x72161a2d, 0x51c13df6, 0xc5e4dd28, 0x0878391b, 0xb6d99898, 0x146c885f, 0x5e1c8d16, 0xf13aa0ba,
+    0xac4ab846, 0xffb9f678, 0xbe35c94b, 0x12330243, 0xe39d8fa2, 0x36f1bfb0, 0x0d7a7647, 0x39981bef,
+    0x9d264c66, 0x4e0b73bf, 0x0308c1ef, 0xfb4f96ed, 0x718356f8, 0xaf75abb4, 0x280d0d66, 0x7714bc3f,
+    0x2c3e7d05, 0x068a7ea2, 0x51a311fd, 0x50e8cb34, 0x91e7839d, 0xbb4250e1, 0xf990278f, 0x806c6b8b,
+    0x71620e43, 0x45637956, 0x0e2e8f47, 0x264cdbce, 0xff31251a, 0xa3c54a07, 0xf3847657, 0x895f077d,
+    0xe2f0947d, 0x1359581e, 0xe86a4466, 0xe3f2682e, 0x09cf1d4e, 0x088381b1, 0xcd70fbe7, 0xd8bc53c1,
+    0xe34179c2, 0xb4837abd, 0x4a400c32, 0xbe787039, 0x0de78a3b, 0x2982e676, 0x000bc073, 0x68dd9425,
+    0x3efaede6, 0xdda2cbec, 0xb9f7c40e, 0xa06e9691, 0xa347abfa, 0x5e40475b, 0x771ad95b, 0x8f24cc3c,
+    0x2d1fa2f3, 0x9a20a08b, 0xb0da0a55, 0x723ad9b7, 0xe3ef0a87, 0xc12295eb, 0x80936dc0, 0x18d16e4a,
+    0x21d380fc, 0x5d156be0, 0x126eb70f, 0x0fd8b281, 0x71bea5a7, 0x6e625175, 0xb9e8d7ff, 0x124b0363,
+    0x50a78930, 0x44c620ab, 0xa11ab62b, 0x359434c4, 0x7a5d5701, 0x11d170f0, 0xb82ebbe6, 0x8aeae95b,
+    0x058dfdef, 0x1b9e4785, 0xcd732787, 0x46d18f53, 0x0a21dcbd, 0xfdaa3114, 0xfc904dd0, 0xcc62e3fd,
+    0xfbc7e651, 0xa217d735, 0x089a8242, 0x9e883d01, 0xcf48a17a, 0x5b2273ce, 0xc7a08174, 0x5da42e60,
+    0x43301782, 0x7c62197e, 0x38abe9bd, 0x462056b0, 0xd64329d8, 0x2f17b78f, 0x230f4441, 0xae087229,
+    0xa4fba9c3, 0xc5a1ef04, 0x4a4e5c3b, 0x88e0c84d, 0x6d77dd69, 0xe07ce85b, 0x3c353e93, 0xb807976a,
+    0xfccfcfe9, 0x17030fbc, 0x5b9a149f, 0xac33d2b1, 0x2fe96f9e, 0x0063a1e5, 0x74792689, 0x6d3a3fd4,
+    0x0b79fd06, 0x7987d7f8, 0x2ae4a829, 0xd9925de1, 0xc3d0d43e, 0x99a41fdc, 0xc957ed9c, 0x870eb9c7,
+    0x29cc436c, 0xf53c9a87, 0xd4d64891, 0xd05d1d70, 0x4b26eb14, 0xd6c315a5, 0xe239c4d0, 0x85bfbc80,
+    0x65bfdc18, 0x77fda759, 0xc917cddf, 0xc77e38b3, 0x570b23b7, 0xceab9839, 0x98ac8afb, 0x024a6508,
+    0xfd0f2581, 0x16a528c1, 0x7e9bfe4b, 0xd700b561, 0x41c1a32e, 0xe9d9a50d, 0x732e070a, 0xf4da6535,
+    0x258e19d6, 0xb95f2324, 0xd2bf868b, 0x684bed13, 0x1839dcf2, 0xd3657517, 0x1f47efd6, 0x7a575e11,
+    0x0c1ae6ba, 0xb3593c09, 0x90ff268a, 0x8a79c2f3, 0x50f0abb3, 0xdde3cd1e, 0x671321be, 0x8849350a,
+    0x1b8bd681, 0x833c1b84, 0xe07c0a73, 0x35da24e3, 0x76be1bb7, 0xfd6fff39, 0x50f62007, 0xfdb3e749,
+    0x74fc21dc, 0x2ff6628f, 0x25eb68ae, 0xf48bc1df, 0x395800d0, 0x49829bac, 0x41eee0e4, 0x7b7f6962,
+    0x4efc9660, 0xbd9aef4b, 0xb0c9100a, 0x198ce6bf, 0xdcf97b8b, 0x7bb8ef61, 0x09c46ccc, 0x6e59abf4,
+    0xb3de93eb, 0xb1dae3e6, 0xd3ac9a00, 0xbfea3afa, 0xbaa6a51f, 0x4e004553, 0x80660f85, 0x74fe1499,
+    0xe4dc8fe1, 0x9ac68441, 0xd41fcb5e, 0xe031a4a3, 0x808680ba, 0x7a4db6ac, 0x75686f2f, 0x23cec66c,
+    0x3d72aab4, 0x16cb2a24, 0xfeddf623, 0x9b84b338, 0x5f4d8666, 0x4c852168, 0xfa9ba47c, 0x845539f3,
+    0x5267a4ca, 0xa6cefd5b, 0x6ad8b0d6, 0x68b04bac, 0x038a3d9a, 0x64596fe4, 0x25f91813, 0x854d3a02,
+    0xe53fbff0, 0xf064c2f3, 0x25467ef4, 0x6de8eb3f, 0x1b01bb68, 0x35dadb03, 0x54b2a821, 0x825e8431,
+    0x62066d28, 0xa07df5fb, 0x8a0fd5be, 0xe2b06fde, 0x52aef46c, 0xee16cdde, 0xb8d2e3e5, 0x648a4a02,
+    0x8fb7716f, 0x652f0678, 0xb2a54318, 0xceee8a49, 0xcd570c88, 0xb7bd292a, 0x39dab477, 0x45eeda85,
+    0x325c88ff, 0xfe7d01c8, 0x3cf2cc8a, 0x5e748e48, 0xe51218f3, 0xedef49b1, 0xa9cd0569, 0xf08d5ca1,
+    0xf8b24e06, 0x1949c226, 0xcc77d28f, 0x649cade9, 0xeaaf763c, 0xff9b0032, 0x5d3ae0bc, 0xba892d0b,
+    0x15de550b, 0x5b9e95f6, 0xd0da2df1, 0x8e0aadbb, 0x9359c71a, 0x0c5ffc8e, 0x0d5591f5, 0xc7a5e2a6,
+    0x27b6d5eb, 0x87eec6e7, 0x0a2074aa, 0x8ac1748c, 0x2de17971, 0x7824fdb9, 0x01636aee, 0x452b8954,
+    0x26e4e381, 0x7afea2eb, 0xfed24afa, 0x55c074fa, 0xdef38244, 0xeedc9572, 0x872e967d, 0xb6277852,
+    0x3d1b79fe, 0x63e45923, 0x1c6c2b58, 0x43b39654, 0xa9c1d4c6, 0x47bb6058, 0x13ef9b1b, 0x9836d6ef,
+    0x45b751da, 0x1eaf8256, 0xd6f77f4b, 0xf3799ef0, 0xab9e7de9, 0x1a4f8ce8, 0x4e87ca8d, 0x2f5b5188,
+    0x21016929, 0xfa74b852, 0x652b66bd, 0x9d455ae7, 0x49a5da5a, 0x26806505, 0x1f1ec4e5, 0x0676079a,
+    0xfb5c530e, 0x224cba2c, 0x98322d20, 0x38437017, 0x706e70a8, 0xf8870734, 0x35e8c082, 0x4560b908,
+    0x672e4538, 0xd5571419, 0xab5bcb78, 0x2375f960, 0x6fa8a40a, 0x906974ef, 0x46d55d37, 0xc3919212,
+    0x4aa1e014, 0x12324698, 0x5cb798b2, 0x6d6ed048, 0x852b7621, 0x32b2d372, 0x051e4879, 0xbb746df7,
+    0x91b82b0a, 0xa301e136, 0x15734dcf, 0xead52523, 0xf6398867, 0x717702f3, 0xed8bb028, 0x27f7e8bf,
+    0xdae96a71, 0x85a30648, 0x3c2ab251, 0x0ff26b25, 0xb6ebbc81, 0xd63a2b41, 0x645b04ca, 0x6ff19ce9,
+    0x07aa9505, 0x5d3b47a1, 0xa747f2ca, 0x1f5b08d6, 0xef958d55, 0x284cbd68, 0x3373d58a, 0x3312acdf,
+    0x249221b1, 0x5567da47, 0x5f9df946, 0x27a8cedf, 0x5264c2ec, 0x58ce2d0e, 0x9d1369a4, 0x3d17f820,
+    0x0d64aa4d, 0x617bb8a5, 0x9a487732, 0xb6d99856, 0x36790588, 0x08c2354b, 0x9343c5b3, 0x90dc28e8,
+    0xb1710d28, 0x24773412, 0x2dac79ef, 0x927ff9b4, 0xf6e0a81c, 0x1e4bfc79, 0xcbc163f1, 0x252c1227,
+    0x33b48bd6, 0xb5b0368e, 0xa33bf1c6, 0xd3b8cbf5, 0x9802dc5a, 0x8f7242db, 0x288a4120, 0x5c0a4500,
+    0x2930ac97, 0xa521a901, 0x20ea8d36, 0xb883393a, 0x80193bd2, 0xdf593481, 0xdabc85fe, 0xba582879,
+    0x5baaca33, 0x4bf0cc70, 0xb69ba679, 0x5b5d0eee, 0xa6b48976, 0xe059be0b, 0xbf567eab, 0x0cf57190,
+    0x2e845c49, 0xb0080c60, 0xa73cef88, 0xa3f9aaa6, 0x7c73ae6e, 0x430fa762, 0x12788a5a, 0x4c6f44a3,
+    0x7efe590f, 0x77cad60f, 0xe920ae94, 0xfb86fc19, 0xff6da432, 0x4a581d37, 0x7a4e9c4c, 0x3c3db555,
+    0xde9ae5a3, 0x79b5ca2f, 0xf9b9fd2c, 0x5517e16c, 0x9caceeba, 0xf906b4fd, 0xa1982cbc, 0xd469173d,
+    0x95656bf5, 0xfbacd3b9, 0x04f4e9e1, 0x574ef370, 0x4ee8fdf1, 0x0d783ca4, 0x33d8a1b9, 0x646323d9,
+    0xf7283104, 0x0078ff7e, 0xb7d8806c, 0x53cc0145, 0xe0728ed1, 0x4a45b6dd, 0xa07f242c, 0xa44e05bb,
+    0x9acd8279, 0xf24984cc, 0xa5eb62c5, 0xdc5a9e2c, 0x32574a17, 0xfb412a0d, 0x10a0f846, 0x4dd5553b,
+    0xa5814acc, 0xe25e415b, 0xef649c8f, 0x7e80d814, 0xd370b03d, 0x441881d2, 0x79ed9930, 0xb4a7857f,
+    0x01621ef1, 0xaff3eb04, 0xc27ef4ff, 0xcd1a5d99, 0xf47bcc91, 0xcf6a3380, 0x3707b515, 0x00fdbbf9,
+    0xe681b2bd, 0x298027a5, 0x0ec5bd98, 0x1e8f61d2, 0x558848a1, 0xb15786c9, 0x32325154, 0xd856e831,
+    0xfc2b9ecb, 0xd8fab81f, 0xae3d2d80, 0x67ffa8a2, 0x204f7854, 0x278cb989, 0xa2b7f4cb, 0x227761b7,
+    0xff85c064, 0xde4c6c67, 0xa7166f91, 0xdad60978, 0xf5357cff, 0x0a737cb1, 0x28d34c40, 0x86bcfb76,
+    0xebbfaf8d, 0x3fd4d902, 0x29915600, 0x1b496e2a, 0x7976cc25, 0x4e59b6b0, 0xede5274f, 0x006e9fb4,
+    0x72a141c5, 0x3d5a76cc, 0x6e696258, 0xada943e3, 0x947ccc65, 0x87c6474b, 0x18b4ce96, 0x5d14621c,
+    0x57c2b93d, 0xca06b465, 0xf9effcf5, 0x12c56ea3, 0x1b4ad527, 0x8e8f0c74, 0xc6da972e, 0xa3f189ad,
+    0x64079741, 0x6ac7e95b, 0x3b13313c, 0xb815518a, 0xceb67789, 0x42ea1dac, 0xca15dddd, 0x2fb75dd4,
+    0x5f23d95f, 0xb7f94dd2, 0xe1339b56, 0x194f39f9, 0x0727352b, 0xa64572db, 0xe1fea161, 0xbf460237,
+    0x810d6997, 0x9069ef94, 0xd53f6a02, 0xea89d5d9, 0xe6d6ac13, 0xf97c5d8c, 0x883d62a0, 0x85be181d,
+    0x8e75eaf2, 0xcbcc16a1, 0x4073733e, 0xe097b398, 0xf85c41d9, 0x538ccf95, 0x7c14529f, 0x7eaae0d2,
+    0x933cb18d, 0x77a2f182, 0xfc39cf37, 0xa27560c3, 0x2fc3a90d, 0xcfb6f5d3, 0xdaf98b64, 0x95396293,
+    0xa20bf972, 0xfa1dda66, 0x150c8767, 0xd0bf07c6, 0xe5166a73, 0x7cba8e55, 0x807aa147, 0xae304564,
+    0x2b3b187c, 0xddd68b49, 0xbd4a136e, 0xaf8573e8, 0x6b1c31d9, 0xea7676ac, 0xe49fdd4d, 0x6ae29e84,
+    0xf6223ca2, 0x4445d621, 0x3e4ce9e0, 0x3120265d, 0x6c5bb871, 0xfb28ebcd, 0x23beee3d, 0xad96c39f,
+    0xee7f1895, 0x79cb2d31, 0xfb670b5c, 0x6dc29185, 0xf9e132ac, 0x01dcfd88, 0x8fd228b2, 0x088eb318,
+    0xe4672d35, 0x3c5dab5c, 0x9949d2fc, 0x9b7749f2, 0x3c277c5f, 0xf342ea3f, 0x6bb70f8d, 0x968cd210,
+    0x99e75a63, 0xc62446a7, 0x48c7a38b, 0x73a9f15a, 0x6aa5923f, 0x03100dbc, 0x30ed2395, 0x93ef515b,
+    0x033cbf1c, 0x6bd29a8a, 0x8f26e939, 0xdf195974, 0x89322750, 0x2edff611, 0x40879775, 0x6652ee49,
+    0x88ca8793, 0x417f0558, 0xc1cab850, 0x2244027b, 0xb8754cd9, 0x61f46611, 0x0db3297f, 0xe23ed91f,
+    0xfce7911f, 0x6a180f73, 0x4daf54cd, 0xf28d177c, 0x6885a204, 0x1aa3f5d1, 0xd9bf65b9, 0xb14e75f5,
+    0xdbbb673e, 0x77e47479, 0xe6ee7a62, 0xb6820580, 0x656c0711, 0x5aaf0614, 0x1bb9bc7a, 0xb9a8d448,
+    0x0443ebee, 0xd7fa5418, 0xc68e4e32, 0x1610ce80, 0x954208d5, 0xa20718b5, 0xd7766cf0, 0x60a13a84,
+    0xb7a32cbc, 0x33cbbaf3, 0xa24b166c, 0xbc7d5ccd, 0x8cffd8d4, 0x8392318e, 0x169f3138, 0xb840ee0a,
+    0x129150fe, 0xd0e0a32a, 0x9a24bdcb, 0x3c717b16, 0x58b80f31, 0x90b8e74d, 0x194c535f, 0x8424b743,
+    0x3f948150, 0x3f17e863, 0xd019a4ef, 0xba4e683e, 0x8192536e, 0x811cfd9e, 0xfb4fdd79, 0xe7d988de,
+    0x02b4062e, 0x4f77485c, 0x6c39a729, 0xcd71effc, 0x7414df67, 0xd343aa10, 0x3e77f13f, 0xd662b638,
+    0x20a9d09e, 0xd7ae5d2b, 0x3013cb07, 0x3fa0713e, 0x682d5c22, 0xa38b3d70, 0x310f2f81, 0x14bb64ee,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000636573742604\
+                         52690195888927762793067532858387302060507832379389042324415617604272068231168 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd,
+    0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8082, 0xe7859d06, 0x650fde9c,
+    0x00000000,
+    0xe3f0894b, 0x988c5e6c, 0xd7c6bb33, 0x642c0faf, 0x0c1b59ec, 0x39f240a5, 0xf53ea490, 0x7a194f48,
+    0x27bad7f6, 0xdc7824a9, 0xeaa37ae9, 0xa9502f6c, 0x998a3893, 0x44b20fb5, 0x70d561fc, 0x8c37f4fa,
+    0x9106717c, 0x4549d2bc, 0xac3f0aac, 0x754749e9, 0x5ee812ce, 0xd92b3b8f, 0x56f07ca7, 0xcd7c67c3,
+    0x3ae40f39, 0x22b13c61, 0x3ae8820c, 0x03770883, 0x18a87981, 0x1c2373af, 0xc795588f, 0xdb7d4815,
+    0xf09fe0c0, 0x8c531fd3, 0x080717e0, 0x116fa1e5, 0x8a2ad81f, 0xce970234, 0x0303a58a, 0x0d8a27e2,
+    0x7d98d7ed, 0xb6fa9fa6, 0x559279e8, 0xad2bbfa1, 0xaa5b1c02, 0x61f918ae, 0x6f6e9747, 0xb6aa7a14,
+    0xa24877ea, 0x20591cba, 0xe67a18ee, 0xb7876013, 0x690c10f5, 0xf249950d, 0xf444f75c, 0x964752e8,
+    0x3b7df9c7, 0xc451dcf1, 0x80db8bc5, 0x0a33a9e9, 0xfee2806a, 0xcd3d5cec, 0x14bc0ad2, 0x39fa84b3,
+    0x27695f67, 0x1703d936, 0x63d95451, 0x10510f2f, 0x77147f06, 0x0cddb373, 0x70081b36, 0x5f49381f,
+    0x8ff1a8ea, 0x41b599fd, 0xa7d06567, 0x5618e556, 0xc5624bbc, 0x61a3492f, 0x3fccc5f2, 0x7196fd0f,
+    0x7bf3e1d1, 0xfc6092a3, 0x78d3a0bc, 0x5b14a53a, 0xe1157361, 0xd9bd07c7, 0xf249822d, 0x34a9e14c,
+    0x757739ee, 0x9d5acd94, 0xa8f7a500, 0xae2f0bad, 0x9ee35849, 0xd485aa22, 0x8bdd257c, 0x08ba7f13,
+    0xa67097cf, 0x36e9e517, 0x6d89e2a2, 0xd2d7992d, 0x78868ff6, 0x93cb0184, 0x4ce12cb6, 0x49f0d7e1,
+    0xd116abf2, 0x6ee23d33, 0x9432d18a, 0x477e37d8, 0x7e29df81, 0x9fa0aafe, 0x50fd0fd1, 0xd2ec0728,
+    0x55ad9aaf, 0x559b695f, 0xfd3ac690, 0xc1c1baa1, 0xcf8e321c, 0x3d2b3b67, 0xe26c508f, 0xefa5ed59,
+    0xcb9c6a87, 0xa44ef779, 0xf8fe990e, 0xd3c1f605, 0x5a0e7c65, 0xd72da167, 0x04257cfa, 0x9de4e217,
+    0xa5e214b2, 0xfd4f948b, 0x6d3122de, 0x80ee9f2a, 0x9fa3aacc, 0x1dd2df76, 0x4c6a2398, 0x090e2ae4,
+    0xacf29b51, 0x579844a3, 0x95864478, 0x9d7bbde6, 0xeecc3a32, 0x9a9709c6, 0xd80ce6df, 0x0e18618c,
+    0xfe1f5ba2, 0xd2730a48, 0x6c3bcc51, 0x9bb9bb8a, 0x9fde75d6, 0xfffe3cbe, 0x54ade0ca, 0x28012dce,
+    0x49c5df34, 0x6133c2e0, 0x3869c785, 0x76406d04, 0x0f4f3799, 0x4ee07351, 0xb8d1b38b, 0xd41f030a,
+    0x5de22c85, 0x346f395d, 0xbd344d69, 0x92dab3c0, 0x0287a2dd, 0x42eeb191, 0xaa390818, 0xc86b6113,
+    0xa85c3999, 0x9e41c760, 0xb774950f, 0xc3e784b9, 0xf7f5f2c1, 0x1f689a58, 0x94956256, 0xc1925a44,
+    0xc773d6ed, 0x19733797, 0x7f2337e6, 0xc5f9d8d2, 0x73617b9f, 0x71e5f0d3, 0x6d773e87, 0x82c99410,
+    0x68e7573e, 0xd5d3ecc0, 0x08fcdba4, 0xa31cef43, 0x1b1735be, 0x7fecd3ac, 0x28df4587, 0x2eaca57c,
+    0x192286b0, 0x9ffc1e6c, 0xd3f91804, 0x8bfe31c9, 0xc9d382a8, 0x74d5d947, 0x01d08208, 0x06d29456,
+    0x863955d9, 0x2eaa9f4f, 0x5ad0d8d2, 0x109cd2d2, 0xacdd052a, 0x35d13eee, 0x67f8e1dd, 0xf6990d17,
+    0x636d1577, 0x2e4d97f4, 0x23ca8c88, 0x8c549ec6, 0x0ed0bcf2, 0xa91f280e, 0xe497aa61, 0xaee28dba,
+    0x09064e92, 0x25109bba, 0xaab38e29, 0x5b9888a7, 0x93ddecc9, 0x982e782e, 0x2b8d7fdf, 0xdb45f728,
+    0x5495f1ac, 0x83572b15, 0x57073527, 0xb0b85265, 0x09b95696, 0xdaf57b66, 0xa256efc2, 0x3bd9329c,
+    0xba1a6ab1, 0x3375b407, 0x43179a61, 0x57500977, 0xce78f27e, 0x19a3349f, 0x62ae032a, 0x31613b1d,
+    0xe6962021, 0x454251c2, 0x9312aabf, 0x266f0db7, 0x6850e6e0, 0x78c02661, 0x6b6b49cf, 0x5a12c3b9,
+    0xe101d5fe, 0x4e3fb632, 0xe61e4037, 0xe7be08b3, 0x54fe0b68, 0x68f2d53d, 0x5a22b8a7, 0x1096929b,
+    0x7390e739, 0xd9f3f94a, 0x192f4f27, 0x3431d03b, 0x70a6e5b9, 0xb2432bdb, 0x1258eec5, 0xd2b9aa31,
+    0x8c6cf132, 0x30ee0c52, 0xa4950430, 0x0fa9d732, 0xf10a71d2, 0x9359d561, 0xe19fa099, 0x801b993a,
+    0x0a158b9e, 0x3404207d, 0x5775fcb6, 0xede17cec, 0xa2b4f0f1, 0x799070df, 0x433cd219, 0xf875821c,
+    0x63f87e59, 0xb10a1f78, 0x9198abdc, 0xc6c73607, 0xd26ff900, 0x818e645b, 0x1210fd8e, 0x83719b5b,
+    0xce6773f5, 0xc6cafb2f, 0x6ce33442, 0xf926f44a, 0x6610f7e6, 0x06f839d2, 0x53b093a2, 0x70266e5a,
+    0x175c9bb6, 0xb99a9bea, 0x5d065c8a, 0xebfd13a7, 0xc074345d, 0xfa9c8e3a, 0x3853cc57, 0x5cd4de25,
+    0xb6b25dd7, 0xbcfb671a, 0x7519f7c8, 0xda41aab2, 0xde75692e, 0x51400ddf, 0x0e182440, 0x6d72a46a,
+    0x2b7686a2, 0x8238dd48, 0x570719f8, 0x5e22fd75, 0x2db32307, 0x052930f6, 0xc51c3123, 0x09c2ecd9,
+    0xf53b528d, 0xd71db9d1, 0x8441a47c, 0x40674c43, 0xadd5c04a, 0x31af992b, 0xca2be4e2, 0x61ede205,
+    0xfb539163, 0x0789370c, 0x376e9ef8, 0x8e14269a, 0x284c5552, 0xedad0d07, 0x6dbf2f1b, 0xd0cfa69a,
+    0x11e9a001, 0xcc93476c, 0xe455d5ae, 0x5f4a1b70, 0x6f0d6919, 0x22ebffcf, 0x8300c4bb, 0x557f9f05,
+    0xccff997f, 0x30b60715, 0x0d365079, 0x31f2fa55, 0x259872cd, 0xea24d8de, 0xc8390197, 0xa535a7dd,
+    0xd06ba564, 0xef30eddb, 0xc79f9c5e, 0x9324c58f, 0x20d5bf0c, 0xb030b3b5, 0x20278838, 0x24e79b19,
+    0xf346ae01, 0x1f41a746, 0x5470c303, 0x880a6277, 0x61fd2fc4, 0x3254d58e, 0xf4d12441, 0x426b49bc,
+    0xfa07b781, 0x02176183, 0xf52e7665, 0xceeb6e66, 0x25cf5b47, 0x8fd12a6e, 0x2d8b4a2f, 0x827fd7c6,
+    0xb442477b, 0xeca70832, 0xdb4e7425, 0x9eff6518, 0x6d7cf207, 0x6943315b, 0x351834f9, 0xc26d3068,
+    0x7cab264c, 0x8f3850f6, 0x3793662b, 0xac8b2e70, 0xf9c4f6d7, 0x00976758, 0xb1415602, 0x92760562,
+    0x5f6071a7, 0xf3ca46eb, 0x65eba45b, 0x77c82be8, 0x6d3c0a05, 0x75ea6d35, 0x778bd769, 0x61beda8f,
+    0xc9ff9376, 0x0ac28ea6, 0x86064cdf, 0xf9d70f36, 0xe0aed010, 0x467f7d27, 0x4942b36a, 0xbe4d2679,
+    0xbf960bb5, 0x53828466, 0x9a4266a7, 0xc9fb7872, 0x74aec6a4, 0xd53dce99, 0x1fb8e226, 0x8881c7b6,
+    0x1905cfd2, 0x775cded8, 0x9787f973, 0x23135354, 0x177bb138, 0xe441b1d5, 0x1f875f8d, 0x1a22cc6a,
+    0xa921965d, 0x86554bb7, 0xc437b14d, 0x29348bda, 0x9079f6eb, 0x90248b69, 0x5080193f, 0x26061bc3,
+    0xed34346f, 0xd8687b58, 0x81028f6f, 0x7b982020, 0x292f97d4, 0x45714443, 0xa3e9d0ba, 0x451cb10a,
+    0xca1fe4cd, 0x194f97c5, 0x199094bc, 0x00a2891e, 0xd8c22f19, 0xe4d7865f, 0x0ef1498d, 0x152f564a,
+    0x816248c3, 0x4ff8ebdd, 0xfc98c8b2, 0x88e21689, 0x0cd83c66, 0xab719f8c, 0x18732df0, 0x9762ca1c,
+    0x1cb22d62, 0x81a57683, 0xa0a62774, 0xa10f5e48, 0xd81c9aaa, 0x5ce42524, 0xbd1e5a60, 0x00432dc8,
+    0x9219ebe1, 0xdaa40477, 0xe438027a, 0x623f3c50, 0xa1d3e615, 0xfd1379a5, 0x6187411b, 0x9786f847,
+    0xd3bb9542, 0x347e49c0, 0x00753952, 0x69c5d5a0, 0x6ce126e9, 0xc694944a, 0xcd56d3dc, 0x32a0f6de,
+    0xd360b62e, 0x89533843, 0x004efbde, 0x4af023b2, 0x87060bed, 0xca183bb1, 0x54f8fb05, 0xdc222e79,
+    0x58937655, 0xa9ec5d2a, 0x526bf1d8, 0xdb5b74d5, 0xa338b063, 0xb767a887, 0x78ad3a7d, 0x0939cfc4,
+    0x03550d7a, 0xfd9161f8, 0xba0c7119, 0xb0d0782b, 0x9034bf8b, 0xe7bbbd79, 0x0b80b4b3, 0xaf14ed40,
+    0x252c3731, 0xd35b53d1, 0x9906354c, 0xcbcf8fc4, 0x18f6e33f, 0xfa96fdb1, 0xb9c085af, 0xe7839cbe,
+    0xa4bb9e18, 0xed229af5, 0xd487a81d, 0x3d665c48, 0x4e55cf24, 0xcfeb7a38, 0xd1891ed3, 0x7bb00f4b,
+    0xcd97ea09, 0x72f45cec, 0x9af4c5ae, 0x98566089, 0x41b7c924, 0x58a75e49, 0x9556f562, 0x96b59cff,
+    0xe6623f30, 0x9997dc3b, 0x758397ac, 0x75d770ad, 0x5d265399, 0xb375b3f9, 0x10e3f141, 0xf9d31f16,
+    0xaf8efa5b, 0x58644c0b, 0xf7876a25, 0xf3c735b6, 0x25efb7a9, 0xf4f14cec, 0xcefd4843, 0x2b76b9fe,
+    0xfdd4dc70, 0x20902cec, 0x34b45af8, 0xab40d290, 0xb794230c, 0xf2283cc5, 0xd484cd19, 0x608b40e9,
+    0xca1956ac, 0x969bb3a5, 0x8e955ceb, 0x27ecb987, 0xb82d8581, 0x3d223bc9, 0x144c37df, 0x3473f1d0,
+    0xdeef3f98, 0x16e404ab, 0x6eac94f2, 0x9b832fb8, 0x0cc7f6c3, 0x98e365e7, 0xdda00abe, 0x98253ae7,
+    0xa3203c54, 0xb31edfc8, 0x85cca591, 0x94a149f8, 0x96fde805, 0x99158fa5, 0x3b290c7a, 0xb2a10657,
+    0x18f6cfbe, 0x0397ed12, 0x37a039a0, 0x2bc9a3ad, 0x6024a10e, 0xe7df60bc, 0x2e6e29ac, 0xc14415d7,
+    0x89502d34, 0xc48a4595, 0xb2454223, 0xf93b5196, 0x35722591, 0x5d6b1c12, 0xca45e1ea, 0xf4555f1e,
+    0x6c6765e0, 0xd65e1ccb, 0x0867fde8, 0x72ce4361, 0x22fdfdde, 0xdfeb1fa0, 0x08c9172d, 0xe7a82630,
+    0x76b6dfbe, 0x6ea54a28, 0xe68ec2c7, 0xff25f891, 0x829249fe, 0xca8d02fb, 0x5258460f, 0xdca4941f,
+    0xd2fce4ba, 0x16c63455, 0x34d02480, 0x23bace15, 0x2d7b1071, 0xa0d3e879, 0x66d64a34, 0xea289999,
+    0x6d9de89f, 0xbb98db99, 0x67394448, 0x069b2709, 0x78ea11a4, 0x011cad12, 0x89d7da38, 0xe2728b4a,
+    0x292bfeca, 0x838627ae, 0xe0a9a201, 0x1605a1e4, 0x01983e6e, 0x70427dea, 0x7f55064a, 0x6c973907,
+    0xe57447de, 0xcc1b6fae, 0xa943c2c4, 0x7babb974, 0xf6be4ebf, 0x2f01783e, 0x834cf9c0, 0x381ef20e,
+    0x2f59ae12, 0x50471490, 0x16afd6cb, 0x75e9f043, 0x14adfb48, 0x62e7e9b9, 0x2b0a2b5f, 0x12d34e31,
+    0xa53ef1c6, 0x00c2c346, 0x32414bf5, 0x350de770, 0x183e594c, 0x4c3dbc53, 0x07767ddf, 0xa561bb66,
+    0xb7aa0ba8, 0x5e817a46, 0x2f3a422f, 0x6b4688ae, 0xdb5629a3, 0xd826a321, 0x63f0a2f9, 0x1b7edf7f,
+    0x26c0b576, 0xea73dfdf, 0x9f009b67, 0xeb32a04c, 0x4383cc6a, 0xea570931, 0x27a19a55, 0xa9a9d0bc,
+    0x181112ef, 0xb85e9666, 0x65a9d0fe, 0x9d228526, 0x9c1a8874, 0x815101d4, 0x4a79aade, 0xb32860b6,
+    0x39d944b1, 0xc00f5a66, 0x1e932c26, 0xa10f5fa8, 0xa2a87c2f, 0x7e7cb361, 0x0f4d8e2b, 0xbcf4dfa2,
+    0xd03b2b50, 0xf29bdca5, 0xa81ea207, 0x0c2145fb, 0x1cdfae90, 0xdaf8a54d, 0x87954467, 0xf3a6b646,
+    0xf939e3ca, 0x4965c6fb, 0x6496e9bd, 0x1e0b078c, 0x5c0094b9, 0xee24d49d, 0x99793256, 0x1a7ed42f,
+    0xd9c5e97e, 0x32b8f8e4, 0x92514111, 0xac679255, 0x1b460906, 0x6ed53dc5, 0x44b697a2, 0x27e9ff90,
+    0x7e4133df, 0xbb19407a, 0x8b7ea989, 0xd9a617f4, 0xac559971, 0xdbb0316e, 0xc98b79ae, 0x790b3624,
+    0xa40b49cb, 0xbc1c153f, 0xe1590a69, 0xd8eec50f, 0x7761ecd7, 0x4d4267d3, 0x979b88f5, 0x775965b1,
+    0xa723eb06, 0x07f6cf45, 0xe4202bbb, 0x52293dc9, 0xe387324b, 0x6a112552, 0x68706cdd, 0xe52350e8,
+    0x0e8c8f00, 0xd09dce80, 0xe24a18b5, 0xe20067bc, 0x6c23f4e5, 0x34801621, 0x522d0cb4, 0x9ada5d2d,
+    0x5dbe03a3, 0xf96f9f4b, 0x27ee9969, 0xa1ab2757, 0x3f946548, 0xb2a15025, 0x022f5708, 0xda8a03ee,
+    0xa74284ca, 0xf9c970cd, 0x2da51613, 0x95509b68, 0xd9b2bdcb, 0x5e8fe496, 0x901905d0, 0xbb1dba4f,
+    0x075f6b38, 0x9f92f4a5, 0x297e4f61, 0x48663324, 0xaa2ea09f, 0x47220b07, 0xd14d1868, 0xf47de735,
+    0xf627f9eb, 0x01438c3f, 0xa02e6bdd, 0xd928825f, 0x9879392e, 0x3a771d98, 0x26148679, 0x486e9686,
+    0x605c8bb2, 0xd6f8e324, 0x18de0934, 0x8d41426b, 0x83f7b359, 0xb8fed2d0, 0x7a5005d2, 0x22887efe,
+    0xecd6fb02, 0x19bcaf94, 0x73403e05, 0x2bb9eaa1, 0x1a4f6b99, 0xedfc652f, 0x612c28b4, 0xbd712e0e,
+    0x6e94be96, 0x751acbe7, 0x0da37b9d, 0x9ac39230, 0x26341104, 0xb31b8a8a, 0x91d5fdc4, 0x0fbb9235,
+    0x820787ab, 0xb9a16005, 0x46f765c8, 0x0c9cc0e8, 0x4fdfbf77, 0x4c834117, 0x647ac82c, 0x9c1e61d7,
+    0xa75203ca, 0x3e705a8b, 0x82ee73b2, 0x5e24cbc7, 0xdb9ee855, 0x417031b4, 0x9201acaa, 0x8613cf29,
+    0x21df33d5, 0x339ec8de, 0x9f8e1f60, 0x7a9a5397, 0xce41a7d2, 0x22634916, 0xe4871eb9, 0x02caedc2,
+    0x26a395e3, 0x003335a4, 0x5a4aed1b, 0xb787db61, 0x5f578244, 0x64cc547f, 0x2f158b08, 0x4311a05f,
+    0x1baa9ad5, 0xa1b24a84, 0xb00415d6, 0x837e351e, 0xc3afda63, 0x4e70d549, 0x35370eb5, 0xecb5b42f,
+    0x6a5cb52e, 0xd23c0010, 0xc086b9ca, 0x31f62dd7, 0x5b6f3662, 0x7374a3bb, 0xb5add291, 0x0ad3d869,
+    0xafce9c24, 0x5800b7e4, 0xb715f16e, 0xd3869495, 0x08bca673, 0x7d587871, 0x65312223, 0x75a60b32,
+    0xd4ab5d30, 0xfa0142da, 0x53747109, 0x4892d42d, 0x448a4be2, 0xad719d07, 0x9b0eb74d, 0xaf63bebb,
+    0x8461b068, 0x26213f8b, 0xc3602952, 0x8d499987, 0x2a96df67, 0xc2c6d647, 0x9dda99c5, 0x4db3f690,
+    0x9d9b796f, 0x9962cdeb, 0x1a49a05e, 0x55ea15a2, 0x0f98ba79, 0xf88a404e, 0x4361647e, 0xff8fce5a,
+    0x58e0256a, 0x819512ec, 0xc052764e, 0xe3f3e603, 0x66ddc003, 0x6825dfc7, 0x0efd9f5d, 0x9ad91e04,
+    0x626288d1, 0x389dcb44, 0x1ae84b78, 0x32ddd764, 0xfb7c7ae2, 0x4e0f5161, 0xf626f8db, 0xdbb3557d,
+    0x111fcbaa, 0xd0a3050a, 0x3c252bd7, 0x54a1f8f1, 0x953cd4eb, 0xf8152cf6, 0x781b122f, 0x5eb99b74,
+    0x003cd3bd, 0x9ad9c76b, 0x56618810, 0x352dad2e, 0x20559d19, 0x9fbcec93, 0xd1554037, 0x048210cd,
+    0xa23daff2, 0x9ed6a1f6, 0x4fd4dce4, 0xf7dcc5da, 0x9041ce58, 0xa614f1f7, 0x64ca0603, 0xefe50063,
+    0x28e2f826, 0x5a2518e1, 0x4f8f1ef2, 0xc730042c, 0xe4c37bf0, 0xe1bfd917, 0xa042c73f, 0x68ea7fef,
+    0x93045476, 0xec57138b, 0xdabd7869, 0x46a8cad2, 0x6bc21d2a, 0xcadfc669, 0x4542e3b8, 0xf09fb53d,
+    0xda88940f, 0x2f507b99, 0x390c8e66, 0x84d4515c, 0xb62526d2, 0x63364d35, 0x4f714291, 0xacfd9275,
+    0x4f11ce52, 0x0d6023d5, 0x88d77290, 0xcd75e325, 0x8bc8a6c8, 0xed1ebb37, 0x8654f904, 0x2bba1dee,
+    0x17c9b95a, 0xd4a8d54f, 0x814c264e, 0x912ae55b, 0x2d225627, 0x2ba9dacb, 0x87840ff5, 0xa10b619d,
+    0x6406f9f3, 0xc344b04c, 0x15a60f2e, 0x9e95d8af, 0x8acd9cd7, 0xb534f39b, 0x50f6faa1, 0x3b0e7f4c,
+    0x679b668f, 0x5df774c8, 0x087bcdfb, 0x83c439c8, 0xac010eab, 0xfeaf6c45, 0x6655fc59, 0xa05020e7,
+    0x6655788f, 0xec9403a8, 0x98b76b73, 0x75c718a2, 0x944c6e21, 0xa5e424d2, 0xe7e066df, 0x68e31b84,
+    0xe0fbbd98, 0x423b44fb, 0x7e9c106d, 0x78f04345, 0xe80d0e5a, 0x08cc894a, 0xd8e46472, 0x935bb40d,
+    0x01e3deaf, 0x2013578c, 0x749bce0b, 0x48034a4f, 0xc2b9826e, 0x8b588525, 0x3e1a387c, 0x1685c392,
+    0x0793b577, 0x6e7c402a, 0x5cc02113, 0x6b6c9f83, 0x46dfe97f, 0xa413c084, 0x86207b81, 0x8c9448b5,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000318286871302\
+                         26345097944463881396533766429193651030253916189694521162207808802136034115584 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6,
+    0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564041, 0x73c2ce83, 0x3287ef4d,
+    0x00000000,
+    0xf1900cdf, 0xa90bedcf, 0x43edd87f, 0x100302f4, 0x3ecaa963, 0xd779e44d, 0x74bf531d, 0xa404d424,
+    0x088f165b, 0x135d4325, 0x3cf0ff86, 0x706def28, 0x7817c267, 0xb493a893, 0xf31c09d8, 0xd6dc3c93,
+    0xe7ba0f47, 0xff4d947f, 0xbb336d05, 0xfd6fa520, 0x709e68ce, 0xeea35e88, 0x09d77024, 0x68dc8758,
+    0xec938526, 0x7beee9c5, 0x39b9663d, 0x11721bbf, 0xf44cafef, 0x376a82f8, 0x9adf7199, 0x6cd6ff2d,
+    0xfdd03744, 0xd9c66287, 0x56fc584c, 0x1bb56244, 0x56b51ee8, 0x6aa3d162, 0xb59e31a2, 0x128e729f,
+    0x08397ee4, 0x5eee529a, 0xbaf4f43e, 0xbcaa6615, 0x84449bf4, 0x0064186c, 0x7a2539f1, 0x2667a259,
+    0x73035026, 0x8a6f1753, 0x2817d20d, 0xd7ebea2b, 0xbcd4a77a, 0xac100cf5, 0xdadb0153, 0xd70684d6,
+    0x4c0f6341, 0x3c2f09d3, 0x07832346, 0x6dab23f9, 0x9f5318c6, 0x0da40463, 0x635c2300, 0x61aeb9b7,
+    0x2ae449a2, 0xc01ac186, 0x80e0bb97, 0xacf5be34, 0x6f3f3092, 0x849afa5a, 0x98e035b6, 0x0d787d10,
+    0xc6fe0dfc, 0x4f908917, 0x67c4ca10, 0x0fd1d9d7, 0x2def0284, 0x0a6bd61c, 0xd426f756, 0x7c9e3a33,
+    0x4dd56f17, 0x5b586089, 0xe49de7cf, 0x4f643a21, 0x2d509d56, 0x5a0f889d, 0x2f8c3905, 0x7c7aa059,
+    0x8e2f7140, 0xf4e54800, 0x726ab72f, 0x54bca066, 0x38c5c7f5, 0xe6e72fe0, 0xcc9d12e4, 0x685202ad,
+    0x0c8d95ff, 0xb5a8fc2b, 0x86ac0208, 0x257ba0ac, 0x43c4bf39, 0xc5c8c2ce, 0x21bbc32e, 0xd5a3641b,
+    0x322802c3, 0x07add7ee, 0x8a0bc3ee, 0x14d709e3, 0xf2a2d59b, 0x94719772, 0x2964cd82, 0x11c3298f,
+    0xc59b801d, 0x223931dc, 0x3c2930d4, 0xac8c0525, 0x82ba1c67, 0x93409829, 0x38b31c47, 0x0c06722c,
+    0x9049fe69, 0x69932198, 0x537f9ff9, 0x13718981, 0x486a00f7, 0x76ec8a26, 0x2cb789ac, 0xc5730466,
+    0x4a17624f, 0xc55b4c36, 0xbbc1f056, 0x968bb25c, 0x67eb3d0e, 0xac392cf6, 0xf05b2a1e, 0xcc1d0235,
+    0xbcee73fa, 0x205a10d2, 0xf853200c, 0x90ab316a, 0x6cf8e7e3, 0x0cd1d8e9, 0xfb85a666, 0x5be6093e,
+    0xc07bd4a8, 0x3b432cf6, 0x91910fe7, 0xbf295ddd, 0x0dff5185, 0xc404146a, 0x8be80b67, 0x9c6dca22,
+    0xceea2fcd, 0xfa5af5d5, 0x942f0ad9, 0xe02f4980, 0x81ba66ae, 0x4a2f90fd, 0x3c9d21ba, 0x10ff1721,
+    0xe5b87b93, 0x554cdc10, 0xe4987aca, 0x0ffe375b, 0xe7560af4, 0xc1a65d8b, 0x1505692f, 0x28a4bc1c,
+    0xc2f6661d, 0x8a93d30c, 0x6a390286, 0xc26d72d6, 0x5a7f105c, 0xc9597ebb, 0xf6fc90e1, 0x83143cc4,
+    0x21fffb30, 0x31adcc52, 0xf3abcd01, 0x0c4a539d, 0xab6f692d, 0xbf161868, 0x48c798aa, 0x77e45f4b,
+    0x042a835c, 0xcddb3a58, 0x37b6139c, 0xd00d1e73, 0x4c1894de, 0x3675a44e, 0x0b9180fa, 0x65fded63,
+    0x08a1aa08, 0x80fe7a54, 0x01b0369e, 0x95d14679, 0x5f2a5b97, 0x44fde646, 0x5126ced4, 0x3700c483,
+    0x633d119a, 0xb99d84e3, 0xfa1b3b39, 0x9f704747, 0x3a3a796c, 0x6e494cbb, 0xb4663037, 0x36b7cd33,
+    0x301ddb6f, 0xfa74fff6, 0xc19c5fe5, 0x264f3da2, 0x3825d46f, 0x1f86abb0, 0x3660e988, 0xa9e31b49,
+    0x650468b6, 0x8f160fed, 0x86a382d1, 0x2a692ea3, 0x2bf70f7b, 0xb39268a4, 0x498091a9, 0xd2703566,
+    0x6f275ba6, 0xff77f5cb, 0xa3c646e3, 0x001463d4, 0xaaf6384d, 0xf7906fbf, 0xdf70bed0, 0x5e0a1fa4,
+    0x15debe86, 0x38346813, 0xd34e7294, 0xd59ac015, 0xd6664c83, 0x7b4472e4, 0x64cf9018, 0x8e2f3c15,
+    0x4e7366a8, 0x36ef1747, 0x81359976, 0x24fe15c6, 0x0681fac6, 0xc39f85c9, 0x6bd8bb78, 0x63142bb8,
+    0x7fb89bf4, 0x2e248206, 0x846b057c, 0xe4918ac4, 0x69da6356, 0x6192de3b, 0xeaec6950, 0x832f18b6,
+    0xc0bca860, 0x211df9a0, 0x2cd42c1a, 0xcc17e1a1, 0x8ed794b9, 0xc38e421f, 0x41f3260b, 0x33a09399,
+    0x36c729bb, 0x32fe7cf9, 0x9a73a8ac, 0xa81424a7, 0xdac16e1a, 0x2704b291, 0x649cacf9, 0xb9c3adde,
+    0xa04c0037, 0xe2a39564, 0x0fcee26b, 0x3363194d, 0xe4d76377, 0xdd0715d9, 0x830909b0, 0x0e80bc99,
+    0xb0a99e5b, 0x453956ed, 0xb1908c58, 0xdc0e733b, 0xd4d49021, 0xb4202ab3, 0xdf4b3472, 0x9b74031a,
+    0x7e5161af, 0xb7e80682, 0xcdf2a545, 0x5cf54be0, 0x3bf90d96, 0xcf4dfb17, 0x875f30c6, 0xc26b636c,
+    0xc08b5892, 0x47ee3367, 0x011f99f2, 0xc3a13db2, 0x3486bc30, 0xea517e30, 0x62f4f9f8, 0x8d80d6bb,
+    0x599a9842, 0xe685aac5, 0x71290540, 0x9e874d80, 0xb212604f, 0xad8602b8, 0x6242c6fd, 0x725bf85e,
+    0xfb873c0a, 0x518acfa4, 0x4d7dc736, 0x09179232, 0x90917481, 0xe7b4c045, 0x2bb49f26, 0xc8665f09,
+    0xebd912e0, 0xf6aceb14, 0xcc29235a, 0x80420c6c, 0x7ca87fdd, 0x67fc81ef, 0x7f97a947, 0xb9ccb719,
+    0xf9073c10, 0xeb662c9c, 0x3dca377a, 0x53f68b8d, 0x0ee973c5, 0xfe247b07, 0x83f63cbe, 0xb87cc510,
+    0x5c93b824, 0xbb0e1462, 0x2fadca68, 0xf66d5df9, 0x69b91a41, 0x316ac7bf, 0x831be7f2, 0xddd6106b,
+    0xf836d72b, 0x20467466, 0x4ee56a27, 0xd486cb13, 0xfe198a04, 0x6c19cf81, 0xd24f4d36, 0x3a4e1f39,
+    0x38d95fa5, 0xe1c54290, 0x24cf86cd, 0x23b56bb9, 0xf84593e9, 0x5c5be114, 0xd66e6358, 0x930d9ebb,
+    0x8a1861ef, 0xdc8398b7, 0xb85db0d3, 0x9235d186, 0x6cb8181f, 0x5e84b9cd, 0xa5cc8cc9, 0x38c7382e,
+    0x78588660, 0xc772d014, 0xa81beb9e, 0x4243839b, 0xfa5be675, 0x30be42b9, 0xe9b2cdf4, 0xc5003b8d,
+    0xef32d68c, 0x6f252039, 0xefcf89c1, 0xd03d811c, 0xaf2a6708, 0x85ee6dc1, 0x31d07b2a, 0x69533dcd,
+    0x9f03e1bd, 0x9e1b1d30, 0x08036c2e, 0xb9597043, 0x37a93df9, 0x1bd9682c, 0x203a4595, 0x0a7d892a,
+    0xbbe9a259, 0x46cc2e17, 0xf85c66c8, 0x446beda9, 0x1d80b067, 0x2f9e937a, 0x198c41b0, 0x6ac30303,
+    0x9edb1fd9, 0x7edde3b6, 0x2f740fff, 0xe05f4872, 0xd496ce0b, 0x6fb6fccb, 0x830964dd, 0x9f111ac9,
+    0x3e4aca3c, 0x47f738a0, 0x3cd1a064, 0x579d76e4, 0xe0239b1f, 0xe3029e60, 0xc37dd45e, 0xcd5562dc,
+    0x98ef9866, 0x0446b568, 0xa6ab79f9, 0x8debb201, 0x002a2262, 0xb7abfe98, 0x96412936, 0x2d418f0e,
+    0x8da06ec1, 0xb3025889, 0x02ae833c, 0xb24a8ca4, 0x4d87ef1c, 0x7f8813af, 0x91097ccd, 0xc5774ee6,
+    0x076e3a3f, 0x6c916152, 0x6f2d93e2, 0xe316fb86, 0x27a5899b, 0xa8fdc56f, 0x4ad9989d, 0xdccf047b,
+    0x82cb48fc, 0x4e21661e, 0xdb699a2a, 0xb7312e6e, 0xb33a4d1c, 0x6a9a4bfe, 0x90ae65f0, 0x4dfb3cc0,
+    0x67e2b020, 0x90c0897c, 0x22976289, 0x5f5573eb, 0xb8ced753, 0xcde0e7dd, 0xd005d040, 0xb07f789e,
+    0xfcc5f38f, 0x9c0a92ee, 0x233e6ab3, 0x5fa185cb, 0xfe8e2873, 0x55ab9462, 0x5754a105, 0x2a56dda7,
+    0x0ab173c7, 0x19b5c09e, 0x10c22f0b, 0xe57adaf3, 0x6b249cdc, 0xbca5c358, 0xa822b719, 0xdb678328,
+    0x2af9bc0d, 0x97ecfbf3, 0xdf276a76, 0x8c144ac9, 0xe50a6efd, 0xcaf8fa33, 0xb88d12e3, 0x5aa76ee1,
+    0x588e0eb9, 0xedd047a4, 0xd0c2d118, 0x6c9163ba, 0xfa6341f0, 0x03256532, 0xc36b8943, 0xec0c3274,
+    0x7329c0bd, 0xd29d7da4, 0xd9a8e427, 0x19d66182, 0xfd0468e7, 0x7eb5a71a, 0xd82b63f8, 0xa04f71db,
+    0x16c561e4, 0x23a28916, 0xafaeb9e7, 0xb1306611, 0x33630905, 0x4b309e39, 0x7c1004c1, 0x8a8b9f4f,
+    0x847fc0f7, 0xec9fccc4, 0x9efce492, 0x8aaa64b4, 0x782a1083, 0xe6edc34f, 0x3e62e19b, 0x37b4acdd,
+    0xa85d3ce3, 0x894db40b, 0x90d86994, 0xfb658a6e, 0x8d5ddcc5, 0x4a32cecf, 0x69b6b9a9, 0xcf651d18,
+    0xdf02008d, 0x21f841fd, 0xf83a33d9, 0xea442c68, 0x5e84a265, 0xea798fe3, 0x5b1b0089, 0xdc34187c,
+    0x7b3eac51, 0x992bd6b7, 0x3bf8b19a, 0x0653c394, 0x2d930800, 0xd5b25329, 0x1380799a, 0x15594530,
+    0x47582fb0, 0x8d118ee8, 0xf26e5621, 0x97b61654, 0x09bd2eff, 0xe2b00b24, 0x8cd1033c, 0xd8f43896,
+    0xecd7568f, 0x43f800a7, 0x2959e18f, 0x73190fe7, 0x34a03439, 0x0926cda4, 0x25ef2c77, 0xb6a6eaa5,
+    0xeefd77ee, 0x7eabb037, 0x13fe7d82, 0xeb97400f, 0xd6398e09, 0xe80d7c83, 0x7ead8699, 0x5b99790f,
+    0x0d5d5bf0, 0xcfde2291, 0x8c49ea16, 0xd2101456, 0x6d2137a8, 0xff748f32, 0x5424a423, 0xf9d88265,
+    0xb1fd69cd, 0x7b47c804, 0xd6b6481b, 0xa5aec36f, 0xbfe9f095, 0x5512fe0c, 0xc1671d6b, 0x752066e0,
+    0x4b47b472, 0xb7d00537, 0x211aa599, 0xcda8824f, 0x64945742, 0x537ec987, 0xd8fc4abc, 0xf073f11c,
+    0xaf106182, 0xbd02494e, 0xe6719303, 0x99df0030, 0xf2ba917d, 0xc8888be3, 0xf60ff66f, 0x14001e7d,
+    0xe1fffa40, 0x7401f6f4, 0xad03864a, 0xc6897c92, 0xa1609466, 0x827cf556, 0x794cf96b, 0x2f6c27bd,
+    0x7e03dda1, 0x6fd8015b, 0x02fa89b8, 0xa4e69132, 0x3e758598, 0x63382994, 0x680fcc39, 0x76ca53c7,
+    0x6cad11ec, 0x56f7ea51, 0x8066b15e, 0x7f3ceb90, 0x89653032, 0xec7d0500, 0xc8bff27f, 0x190f434b,
+    0x0de7c824, 0x6beee4d8, 0x998d00dc, 0xeea8c0da, 0xd6c5f3f1, 0x4040d4b0, 0x90a8b57a, 0x779a9aa7,
+    0xf24abe1d, 0x8da60114, 0x67d82253, 0xb51e0141, 0x5c5f4105, 0xfd6012f4, 0xcae046ea, 0x870f5394,
+    0x118c6f5f, 0xe6c3faf0, 0x0eaa89e0, 0xee3855ae, 0xbcde20e6, 0xaf85640c, 0x2896e712, 0x5466fb61,
+    0xda46dc80, 0xce77605a, 0xd4f475e5, 0x5d2dac22, 0x50b8cf8b, 0xe6507027, 0x60c3dc6e, 0x85c3916d,
+    0x1c85b09b, 0xf5ce957e, 0x1e500236, 0x005af283, 0xe000f829, 0xfe6af8a4, 0x066c112f, 0x5b82a922,
+    0x5b4b8911, 0xe45c9923, 0xb93c0fa4, 0x4e0ee054, 0x48c77131, 0xd8a0e278, 0x2f60a7cc, 0xfd5f8c09,
+    0xe2e357b3, 0xcb135283, 0x82628a0c, 0x2886bb82, 0x0f177283, 0x4e18f5a1, 0x2f26306b, 0xacde54db,
+    0x1f2dbd50, 0x734976ce, 0xd78509d7, 0xe6d7bd4f, 0x258fec8e, 0x92f51d62, 0xc9e35a1e, 0xd88dc7b5,
+    0x07a9bd90, 0x85f98446, 0x9ec11fb4, 0x2a4162e4, 0x676869fd, 0x6fad50fd, 0x8d5ef48a, 0xa5c675b5,
+    0x2783eefd, 0x81e56cfd, 0xff19a49a, 0x65de2aa1, 0xeb7346d6, 0xcd28aff8, 0x85110dfd, 0xf391e608,
+    0xc5f67374, 0xed86a31c, 0xe96fd013, 0x50e0eb53, 0x41248b7d, 0x0abd84ca, 0xf9f124cd, 0x113d82d8,
+    0x03b73d1f, 0x9102fc66, 0x5738bb5e, 0xae82eba1, 0xf575af70, 0xf2554d55, 0x92b4c21c, 0x47d9dbdb,
+    0x0fc5fe04, 0xf311d52b, 0x7de5e58a, 0x86dc1e84, 0x30894ffe, 0xe826abae, 0xee224741, 0x020ac57b,
+    0xb4c52da9, 0x8399be23, 0x0892bf68, 0x4408af6b, 0x38e66dd8, 0x4eac221a, 0x7c302dfc, 0x1a1793d9,
+    0xce8fbf8f, 0xb2600518, 0xd93689b8, 0x64bd7a9d, 0x019fc4d0, 0xe6686752, 0x7cc72e8f, 0x3aa60136,
+    0xc1593595, 0x7b8e28a3, 0x9bbab068, 0x06562002, 0xbc0dbf6e, 0xa607b511, 0x7af79d62, 0xae4aa513,
+    0x46aa4305, 0xa3e9a736, 0x4a24ee3f, 0x15aa5beb, 0x8fde9c72, 0x7ccdbbba, 0x86a067cb, 0x92735bcf,
+    0x732ac213, 0x8c5299bf, 0xf228cecf, 0x5e5e06f5, 0xfc12b1df, 0x349ca3ee, 0x2d3bfe55, 0xf1a43cb8,
+    0xd5e4ff18, 0x820458ab, 0x98df2070, 0x1d937196, 0xeda36699, 0x50ebc05c, 0x4dedd0cc, 0xf2ca1263,
+    0xb0a7d539, 0x2fd2c1ce, 0x1ca64ff6, 0xdb178d50, 0xd801ab70, 0xb445fa37, 0xf2825502, 0x0ff99991,
+    0xb5dafafe, 0x540323a0, 0x97657f20, 0xc3015f20, 0x18e66082, 0x59929142, 0x7c2e5a10, 0xba6227f9,
+    0x64d3fc33, 0x48422cbe, 0x8703756d, 0x7b4d02c3, 0xf80c266d, 0xa555c67f, 0xa38c2930, 0x7e130fa2,
+    0xdcea956e, 0x4ccc44e3, 0x57a6ee57, 0x2b18c6f5, 0xa67f8d4e, 0x0c551c37, 0x7ff76387, 0xe3b886a1,
+    0x1b240596, 0xe8b741ee, 0x83b9bab8, 0x9e92c3c4, 0xc805f354, 0xcb5e0a38, 0x4ce31eff, 0xaa50f686,
+    0xdea76c65, 0x88e40472, 0x84073f09, 0xcd7deac6, 0x463946c4, 0x28acff62, 0xb29a27c0, 0xa0da981c,
+    0x2ac5c899, 0x8762a3e8, 0xe59b13fd, 0x56a2b656, 0xc73fb6f1, 0x281d6f37, 0xd795472f, 0x1f02dfd0,
+    0x55f8e451, 0xd15e7249, 0xd1cd2b9e, 0xc23de10c, 0x7038c953, 0x50ac8641, 0x91daa8f3, 0xee931003,
+    0x037d9ce5, 0xec14473a, 0x520dae7d, 0x44aeaab6, 0x4f55b759, 0xd53b989a, 0x4ae5f31b, 0xb6855219,
+    0x322cb004, 0x19c30352, 0x723f4d18, 0x7c81dc4a, 0x42b035ff, 0x5b7d7b48, 0x7d81f033, 0x9fdcde8a,
+    0xc9c6e663, 0x5b1eca0c, 0xe828c783, 0x56851ed6, 0x7b1a81c9, 0x27d32de6, 0x01234c7e, 0x19cd159a,
+    0xb01425f8, 0x74290962, 0xed9dbcf4, 0xc88b83cb, 0xcd460e58, 0x09085538, 0x70bc91c4, 0x2d77f4a6,
+    0xa6f8fd6e, 0xa13fd26f, 0x71428bb7, 0x433f6033, 0xe0a9e542, 0xed0263d8, 0x58663417, 0x8e031b76,
+    0x3a83e023, 0xc854d131, 0xc619e82c, 0x2ae7ee6c, 0xa523eb9e, 0x439b0451, 0xf0cc1027, 0xdb248828,
+    0xfd14d986, 0x861068d8, 0xcf5decc1, 0x01bb4e2a, 0x49ff740c, 0xf2fd1e7a, 0x00fc16b4, 0x36e780c3,
+    0x1d6015d4, 0xffca43c6, 0x8d536ac2, 0xffa5f384, 0xe60c7c7e, 0xe802bdc6, 0xca6c5614, 0xaa3e56f1,
+    0xe4646dba, 0xd86f96c2, 0x1227c4d0, 0x2adb1111, 0xea16d758, 0xb9395de6, 0x85cd61e8, 0x31350a6e,
+    0xc1b78ed9, 0xd45d62d8, 0x92a2a5c7, 0x7dfb2906, 0x7cbb21bc, 0xd7ca7a3a, 0xe567589e, 0xe75e86d5,
+    0x3738f985, 0x028c6d1a, 0xbb096219, 0xdd1f9df3, 0x08b4a32c, 0x784cef57, 0x17a028b7, 0x3baeaf3e,
+    0x17d904be, 0xb825ee25, 0xd84b4fca, 0x833f4e86, 0x11b61f01, 0xe8988170, 0x84edad75, 0xa10fa685,
+    0x6c562d8a, 0x570720f1, 0x2f6661bb, 0x55c3c22d, 0x5ddb0b58, 0x17f6a67c, 0x3057375d, 0x78c80c0f,
+    0xff3d1805, 0x13671aec, 0x9a2bbf97, 0xb94a0f4e, 0x5c4d3dc4, 0x6c69114e, 0x5c9f84f0, 0x27500fba,
+    0x73f51946, 0xa802bfe4, 0x4a734f88, 0x53219e16, 0xe6324bb0, 0xf8af7d7d, 0xfadc22ef, 0xa45861b9,
+    0xed6f0316, 0xc97f9c22, 0x2f1f0f0a, 0xc2932f20, 0x004dfd1f, 0xf77834e1, 0x11e8cbc1, 0x5e4dcca3,
+    0x9cd3cb55, 0x3265224f, 0xf0c6edc7, 0x51970b85, 0xc1123750, 0xca06ff69, 0xe3705813, 0x903eb12e,
+    0xe91c5e00, 0x727f1189, 0xca213fce, 0x77c980de, 0xa555e8c0, 0xdab53758, 0x24c5df51, 0x299d8281,
+    0xe7c05a2e, 0x0ab57c1a, 0xa7bbb78e, 0x16d66bc0, 0x9ec882dd, 0x7ffa3b22, 0x4c497c87, 0x4e82fe5f,
+    0x315c03f5, 0x01530b58, 0x6b1c2101, 0x5c5f4c5c, 0x829df9be, 0x5169adfb, 0x488d0a98, 0x07318833,
+    0xd7d8bc17, 0xd28144ad, 0x94cf36bc, 0xeab5c839, 0xf49114d5, 0x5221f9ed, 0xda0b2937, 0x2ac2a4d6,
+    0xe169b8ba, 0xc13dbee0, 0x277fec24, 0x451d1625, 0x5297b035, 0x36fcac57, 0xc2e727d2, 0x1d35fa7f,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000159143435651\
+                         13172548972231940698266883214596825515126958094847260581103904401068017057792 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3,
+    0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab2020, 0xb9e16741, 0x9943f7a6,
+    0x00000000,
+    0xafd745c9, 0x88c40267, 0xc69456a2, 0x9349d753, 0x8e7fd365, 0x1a4eaa22, 0x49a802e0, 0x77425e20,
+    0xf6fbedc0, 0x08c847f7, 0x59c8fb8a, 0xf5d71014, 0xd3779848, 0x8168ae08, 0x2e5fed4e, 0x45b3237c,
+    0x79190e90, 0xa2f65997, 0xa5be3f65, 0xa7a1786d, 0x60ed91e6, 0xbd3c0a8d, 0x6da41733, 0x426911df,
+    0xa186f0ec, 0xd72127c5, 0xaa99b560, 0xad2c2ef7, 0x0d70a109, 0x14696c2a, 0xea4dcb32, 0x32d86a0a,
+    0xbd3fe0c4, 0x63b49fb2, 0x0583fbb5, 0xec3a1cae, 0x29aa7039, 0x4661cd98, 0x53529783, 0xfa856071,
+    0x8ad959d4, 0xd9dec617, 0x7e8ba318, 0x6b2150eb, 0xe4bfd528, 0xd07c3e2d, 0x41c0cb1d, 0x8c8ff0d4,
+    0xfdabc5ff, 0xe0166f4e, 0x2470408b, 0xe7863037, 0x89366d07, 0xfe5f999f, 0xe5dd0db9, 0x85c42345,
+    0x206460ad, 0x93cd3516, 0x38b3b65c, 0xbe2c10fb, 0xfc5dcc57, 0x6fbe0564, 0x088a6723, 0xe0bc0eae,
+    0xd6c893bf, 0x05a58001, 0x1b74c30f, 0xd1b52dcf, 0x0164ad5f, 0x093b21d8, 0xbccfb04e, 0x5b5f19ee,
+    0xd4d0a65b, 0x7d7c2c60, 0x378c2ae6, 0x3002b914, 0x1d4fd6fc, 0x88f40561, 0x9db5de34, 0xe37b61a2,
+    0x3dfbb947, 0xeda948fe, 0xc91668f9, 0x6f608624, 0x255baa34, 0x1e8253e4, 0x9ee2a23c, 0xf998d0ed,
+    0xe21a5c81, 0xbc5a6b35, 0x84576bf6, 0xb2a72401, 0xc6c1b444, 0x97370953, 0x0746aef1, 0xc37e64b1,
+    0x9a9f4480, 0x4d171507, 0xf5722180, 0xaabb5220, 0xb968f5f2, 0x25ebf09b, 0x5bb93892, 0x82857dfa,
+    0x38f446a4, 0x59ca7ed9, 0x30cca360, 0xf90654c5, 0xf9f24140, 0xb98c0b7a, 0xe17e9974, 0xfa8516f3,
+    0x9f1ed5d1, 0x33ee9178, 0x9e4f321f, 0x3aff53b1, 0x33568a9e, 0x72da5df3, 0x2a8b51c5, 0x528b05c7,
+    0x672d2df1, 0xfc6f99ab, 0xd6479c40, 0xd26f9053, 0x992832e0, 0x14ed2635, 0xba817ee5, 0x0891f9ee,
+    0xc7be9926, 0x7dbc6312, 0xd675f695, 0x61d9d987, 0x146025da, 0x4ae77e0e, 0x46288d28, 0x0e9e47c0,
+    0x181fbdd7, 0x2eb73eea, 0x196ded7f, 0x0d36cb35, 0x0794548f, 0x16a9a4c1, 0x2cec896c, 0x81de42d1,
+    0x8481408c, 0x07e90c72, 0x70cf2c67, 0x788ae93b, 0xb3a71c36, 0xa425345f, 0x36675a8d, 0x3402bfce,
+    0xeb00cc86, 0x02558edc, 0x92ec76fe, 0xd8e05a85, 0x5534402e, 0x5cc4e54a, 0x39b1d274, 0xf48d101e,
+    0x27c88cd7, 0x73bfd4eb, 0x7528a338, 0x97910ad5, 0x7240a607, 0xeb303b04, 0xdab10b6d, 0xef38bfa6,
+    0x25b8388f, 0x28a5f2ad, 0xdcce3637, 0x55fb1aee, 0x07bcaa32, 0x77fd0235, 0x794d5bb9, 0xe4606e0c,
+    0x17e5bc9f, 0x9b5479c6, 0x2405184e, 0xa6e45624, 0x38c74c11, 0xed0cfa24, 0x7af56f9f, 0x468809a2,
+    0x7eba075b, 0xe22ea4a2, 0xa14a1d2b, 0xbebe92c9, 0x053da4da, 0x16fb5fdb, 0x2523f778, 0x3b7f4e62,
+    0x7a64483e, 0x71ad407e, 0x02c9fdd3, 0xe3ba9f42, 0x69d4b989, 0x29a46afe, 0x67a21538, 0x4a45465a,
+    0x6f659556, 0x272fa5be, 0x10328125, 0xa1d6887e, 0x3d7a95c0, 0x1e641abe, 0xe2aebfae, 0x2ad654d2,
+    0xabaf04f4, 0x170e2164, 0x4291d014, 0x8b23fb82, 0xee52ce60, 0xeda555a3, 0x53d1d958, 0x8453fc24,
+    0x4be5ef5d, 0xbf7b3d00, 0xc97e4c1b, 0x83b16bcc, 0x0d8f8d0e, 0x25d11721, 0x25d12b4a, 0xdb3372a0,
+    0x0a780c9a, 0x30bff9ad, 0x12721c78, 0x3ceb0182, 0x2530141b, 0xcf90155e, 0xff99f006, 0x4de75636,
+    0xe106dfb5, 0x017e2f54, 0x2bdb6b93, 0x2f109ab6, 0x79d607df, 0x78ddb584, 0xd3cfb44f, 0x6f10c4a5,
+    0xb6990f0d, 0xc2c0ac09, 0x8e053b92, 0x300ef578, 0xeda52d25, 0x81d2a714, 0x18848ad3, 0xc02f44a3,
+    0xaef023c9, 0x719e6ea7, 0x056fe308, 0x9e7dd3bd, 0x16b0de12, 0xb194e6c5, 0xad5e5bec, 0x9d07a1fe,
+    0x7482a088, 0x91e991c0, 0xe4900faa, 0xe810286e, 0x7314a2de, 0x31ff9e41, 0xca5c00b3, 0xb72140e6,
+    0xaaf0301e, 0x89c7aa66, 0x269bb5ca, 0x1b4da29d, 0xcbf1c6ac, 0x08d632df, 0xe1e6f3fa, 0x8d556087,
+    0xd82936d4, 0x8b7e7ca2, 0x29e12dd6, 0xef01de4e, 0x3ec8343c, 0xed64f90d, 0x6c2ac759, 0xc1d7ab9d,
+    0x9f39e360, 0x51ac94e8, 0x677889af, 0xba02fc4d, 0x465eea84, 0x8b6c3e3c, 0x5a30c7ac, 0xcaef9dbf,
+    0xa129df78, 0x52f703b7, 0x062708ba, 0x65b24aab, 0x510bfc19, 0x9dd77a31, 0x8412418c, 0x2bb6740c,
+    0xc932149f, 0x912efb8b, 0xe7985b36, 0x3e95c5d0, 0x2a8f9548, 0x68b7578d, 0x437a31c2, 0xd58d719b,
+    0xdcb4f72c, 0xcd8e5bd2, 0x062d2dad, 0x3653ed05, 0x0988245e, 0xb6401da5, 0x31038469, 0xb763bdf1,
+    0xbf1adba7, 0xef1a91d2, 0x30f6eb6c, 0x19935c10, 0xb92e46e8, 0x0de4024a, 0x887630d3, 0x647cc543,
+    0x088f8f7e, 0xd2955d1f, 0xb14d731f, 0xb326e9fa, 0x444c81d0, 0x81092c36, 0xd6fbf721, 0x95e28758,
+    0xf1fc3b0a, 0x3328e3b9, 0x4e9b9a36, 0x9c3182ea, 0xb97a0602, 0x56b84c61, 0x51c41b5a, 0x5e1add50,
+    0xc09069a0, 0x3a67fede, 0x4d649f40, 0x5e9ae55c, 0x12aa2b5f, 0x2660c09d, 0xb84087b2, 0x2f65c66d,
+    0x8ee6eba8, 0x8a9f68ce, 0xe160c88b, 0x0cec91c1, 0xf966b8fe, 0xa414686c, 0x791d1838, 0x59e12863,
+    0xab5fe7bf, 0x3c987977, 0x6ade8325, 0xb2e3cf41, 0x7c734d70, 0x7df3ddd4, 0xdb914627, 0xb360ebc9,
+    0x119e5f59, 0x38e6bd5c, 0x12465525, 0x647408d7, 0xbecae86a, 0x129847fa, 0xe3ba52fb, 0xc8aaa0b7,
+    0x5256e6b1, 0xe34994bc, 0xe2ae1cba, 0x604fe4ff, 0xe6be20ee, 0xa04ab1d2, 0xe549eaad, 0x84756f59,
+    0x5d6806d4, 0x6c55fbd5, 0x76d917f1, 0x0ae0e642, 0x159ba766, 0xb831cece, 0x573acecc, 0xbea919c1,
+    0x38e700d0, 0x9c525a9e, 0xf2fe374f, 0xf64dc7e3, 0x49e4f3a3, 0xe5901fa5, 0x666a75c5, 0x31582fae,
+    0xea474b0e, 0x5c342392, 0x4fe9fa74, 0x718072a5, 0x131f3984, 0x5d6ef1e5, 0xa71feef8, 0x626a08bd,
+    0x273e6ff6, 0x471508c5, 0xbda53e63, 0xd34376d6, 0x49f84e74, 0xb447f1dc, 0xdf3fda41, 0x7e12385d,
+    0x77b25477, 0xc3e2db59, 0x508f3955, 0xa3e81507, 0x2a0a6b74, 0x3a2bf0a8, 0xdfd1ae90, 0x2daeda04,
+    0x1ea67e6a, 0x225fae46, 0xc7117306, 0x53bfe8f9, 0x4290eec8, 0x10748ec5, 0x802d1cdf, 0x271397fd,
+    0x8dd75e20, 0x2953bfa2, 0x614f341e, 0xe40eebbc, 0x9b15a7a2, 0xdd287871, 0xdfffc9e5, 0xb5cc0c58,
+    0x1c8d2939, 0x52421bf9, 0x1d59e6e1, 0xc59fd698, 0x59f02627, 0x244a081f, 0x2501b1c6, 0x9e42b110,
+    0x2d1bf1e4, 0xfb528b72, 0x065176ff, 0x27c8fc6f, 0xcb6ece2f, 0x0524c6a4, 0x63178ffa, 0xd5da6f99,
+    0x3f493d04, 0x88680036, 0xc6aec4ce, 0xc02e4504, 0xde027d0f, 0xd5a7572d, 0x682461a9, 0x91eb41f1,
+    0xb868eb41, 0x855c7b51, 0x7f0b9ed7, 0x23303298, 0x6a952b92, 0xa65473ea, 0xeb7a27fe, 0xd91d034e,
+    0x9a3a0bbf, 0x500ff5d9, 0x2f073ea6, 0xa1059e46, 0x1ddc83c0, 0x28f5e995, 0xe7834e0a, 0x52f0a6f3,
+    0x82217a41, 0xa5a03d8f, 0xaaf6abf0, 0x656ba4a7, 0xc5b369f8, 0x49cf6af4, 0xe552ccd3, 0x8ee6fb8b,
+    0x7ed2f1fe, 0x730d1e90, 0x1c00ee6d, 0xaad3eb17, 0xfb758d96, 0xaee01449, 0xc58188ab, 0xb2caf3c3,
+    0xfd939c74, 0x8e17bc7d, 0x2800f1dc, 0x24bc15fc, 0xa72edfae, 0x86c60037, 0x2571630e, 0x5ab3e3ff,
+    0xb5edd83e, 0xae861fbc, 0x0ab779a3, 0xd5bcce66, 0x54411c87, 0x7d7e8715, 0x42cf61bc, 0x78a63b71,
+    0x156ba2eb, 0xc96297a3, 0xeccbbe90, 0x60ce5657, 0x5eeaf29d, 0xc94573d9, 0xe2708a2d, 0x67c7b7bf,
+    0x9a716d9d, 0x4a90e95b, 0x49d5405e, 0xd14fc425, 0xcf26c9cf, 0x76b6f83f, 0x1d9dc0b8, 0xfbc3989d,
+    0x7bfbbb0b, 0x730c4a3e, 0x59b639e6, 0xbe24b067, 0x67da221b, 0xa63b5a7f, 0x335290d9, 0xe07ca4f4,
+    0xbc3a5caf, 0xa454a7c7, 0xdf86cebb, 0x02eed670, 0x38d1cdfc, 0xf2a8f5db, 0xa8eea344, 0x153d72af,
+    0x85e0a94c, 0x0c355db7, 0x3bb39f25, 0x0c8deaeb, 0x42abe64d, 0x3bb4d6f4, 0x5266d51e, 0x6f2358ae,
+    0xe6e0810c, 0x067ae6ba, 0x44b9df2d, 0x780af236, 0x440a24a2, 0x50acc433, 0x8220bfa5, 0x155fb9b6,
+    0x76198894, 0x1d928a51, 0x14527d6e, 0x41a6c0c6, 0x2d74372e, 0xf5793584, 0x788a3e64, 0x7d01b2cf,
+    0xc0c48867, 0xe1652460, 0x97993701, 0xd4d12f3e, 0x9cdd3713, 0xeababb5c, 0x7a1948b3, 0x2745004b,
+    0x1c9c9bdf, 0x0a1164fd, 0xff8ed18c, 0xbbed2e00, 0x7c29b1b0, 0x132f958b, 0x6b970ca1, 0x7037dcac,
+    0x7af2b015, 0x9eec5573, 0x5a40964f, 0xf998b8a6, 0x7f19f19f, 0x86cbb293, 0x5d10b879, 0x220cec68,
+    0x278ae8a9, 0x57c0babd, 0xae9c4d9e, 0xbf1884a1, 0xc47287c8, 0xa33a894d, 0xe45e85fd, 0x187b9e3c,
+    0x7e04090c, 0x52284b07, 0x00ff4d8d, 0x6f6cff60, 0x1edb76ae, 0x7f695220, 0x20681daa, 0xee665b16,
+    0xee7b1f99, 0x5fc10d71, 0x0e1f0d24, 0x0ae7c95b, 0xd7040814, 0x4551d44c, 0xfa49690a, 0x04f5d20b,
+    0x3b2dffe0, 0xe6125373, 0x0688fba4, 0xc6c88aa2, 0x048e99ee, 0xb550b639, 0xd42ae262, 0xa7fe6d91,
+    0x6c173929, 0xae675bc8, 0x31530296, 0x84dbcad2, 0xeb0ee6a3, 0xe1839d3a, 0xe9f811a7, 0xf3bd5210,
+    0x4a7d5cc9, 0x3ceb6279, 0x4cbcd6b9, 0x22d75dbd, 0x0b4fd1a6, 0xbf23af01, 0xeafd9b4c, 0xd600190f,
+    0x2a518651, 0x2c71e828, 0x51641248, 0xb433d0e4, 0xe51e7122, 0xf45c4f08, 0xae1b0e93, 0x308ac44f,
+    0x6f2836aa, 0x501afc73, 0xfbd5c200, 0x93c49421, 0x6174dcb8, 0xbe5c8e2f, 0x0fd18eea, 0x6d065b5f,
+    0xac3ef5ac, 0x7b44b769, 0x12db63ad, 0x45a0e2ee, 0x94a4d00e, 0xc51073bd, 0x271ca588, 0x01a3ff7e,
+    0x9c6606de, 0xf9db1582, 0x808e1ea7, 0x4e450698, 0xcac59350, 0x9ed48814, 0x419e1842, 0x4c73ef44,
+    0x1f3cbaa4, 0x10ab17ec, 0x6f69f923, 0x58397db2, 0x9bb6e39d, 0x7152ea30, 0x23cde69c, 0xf8eb48bd,
+    0x325a5024, 0xa8a0a608, 0xc89707ff, 0x23de6516, 0x7d154873, 0x9497c5fc, 0xa79ce7d9, 0x10430f31,
+    0x3e20a1a6, 0xa1a3c7bf, 0x0e1f006d, 0x16828154, 0xaade2cbc, 0xea9625dc, 0x74e95234, 0x8e7686d0,
+    0xaa96b4ba, 0x5623e47a, 0xcbf5119e, 0x83844d23, 0xe8d1e2c4, 0xb62e153b, 0xb1060bec, 0x8fe26596,
+    0x239a4fcc, 0x66b41fbc, 0xa21f4f14, 0xd1cfde13, 0x18a725e5, 0xd2a05861, 0xb2a50d1e, 0x27dda5c8,
+    0x15d3c8c0, 0x4caf66e8, 0x234fad3d, 0xf30bd1d5, 0x817a0168, 0x5d8eca8c, 0xc6051e35, 0x5521c192,
+    0x9d8f8876, 0x9c94be4b, 0xc1e414d8, 0x34dea2e8, 0xfb23c77e, 0x410af4a6, 0x809d7df6, 0x7d2b9927,
+    0x39afc377, 0x3bcbc68c, 0x662bf127, 0x85bd0905, 0x71caeb2b, 0x9640bd4b, 0x01c28655, 0xa90bdfd3,
+    0x33890683, 0x11e51527, 0xfd399ecd, 0x03734f9b, 0x8f3d4d81, 0x32540e56, 0x514b5f8e, 0xdb968a35,
+    0xae74d123, 0x800818e4, 0x72f5d20d, 0x839ba0f5, 0x1f14b362, 0xcad8a5f9, 0x26224060, 0xc95b082f,
+    0x3ccaae7a, 0x12f7fa3a, 0xde284331, 0x7c275121, 0x3faebd69, 0x5c864e57, 0xfe8ca6f9, 0x5294854a,
+    0xc07e1a9d, 0x23757bf7, 0x9caf8416, 0x6df52211, 0x0f295b61, 0xa48293f2, 0xf67d337b, 0x0ab5cd53,
+    0x3f803510, 0x9c43ec2b, 0x2dfda506, 0xf8cbff71, 0xea15ad53, 0x5e9aa7ba, 0xfa20f472, 0xfd00498b,
+    0x128507e4, 0xe2e4cd85, 0x0294a79e, 0x4c032bee, 0xe6d124ba, 0x8eade354, 0xeb8e70a2, 0x4dd7cb41,
+    0x6e3fc9ce, 0xb632e6bd, 0xbceab952, 0x87ed5790, 0xbd37abd6, 0x26418460, 0x05beacd1, 0x77109b20,
+    0xd4713b9b, 0xa55db994, 0x9291f991, 0x8219b853, 0x780366dd, 0x44316f2e, 0x233118d7, 0x40022037,
+    0xf69a6188, 0x47a85e37, 0x5ab40be6, 0x84cd49ae, 0x7252902b, 0x3161ea73, 0x053b42b4, 0x816ffc12,
+    0xbe95a504, 0xcaf479a0, 0xdbbdf9b4, 0xc044a4fa, 0xa5f4033a, 0xb7dfb4eb, 0x4af43d29, 0x55fc2b9f,
+    0x12f6a826, 0x114f0559, 0xca8fa373, 0x34a56710, 0xae3021f2, 0x54d3d3e1, 0x5b3a3051, 0x0f83d30d,
+    0x314672dc, 0x1f7ada56, 0xe1100902, 0xdcffb8d6, 0x7702dc27, 0x2e925792, 0x0cf7ead4, 0x286a5c78,
+    0x2c9b1656, 0xeebf4f65, 0x9d3507ff, 0xfe0e0e64, 0x8966aa6b, 0x71fb4b26, 0x133f4309, 0x1fe502a2,
+    0x8961efa4, 0xfe8fdbe7, 0x70b8b1cd, 0x2a794bc8, 0xc0036a39, 0x9da5e638, 0x5afe0c13, 0x3f4d0363,
+    0x4c642989, 0xff5802b3, 0x9b6913ff, 0x22acf2e3, 0x95fb94a4, 0xbb14e6de, 0xf469e393, 0x908ae61b,
+    0x5426c19e, 0x082d185d, 0xfa1a2c88, 0x89b4ed1e, 0xab09dccd, 0x75092b72, 0xc3d8ca83, 0xaa2a619c,
+    0x0ecf5697, 0xd65d32d5, 0x853e93fb, 0xaba49853, 0x6732133b, 0x704f4a05, 0x69a49682, 0xbaecffc0,
+    0x2b7014f2, 0x7f4a2136, 0x032e177f, 0xdd7c221a, 0xd54b4641, 0x51d19006, 0x0aed21fc, 0x8f205bb4,
+    0xc2214048, 0xa271b561, 0x84b4335b, 0xef2c81e1, 0x56965bca, 0x983cd954, 0xe3b600b8, 0x14d34688,
+    0xe2c53157, 0xd9da55d8, 0xf84c6e1a, 0xfd516669, 0xc9e812b4, 0x6f2e8d2d, 0x87a9550b, 0x503eb64f,
+    0x6d6cd33b, 0xb3147e02, 0xb3fc2250, 0xd168db92, 0xb9e43cb4, 0x1df80927, 0x25fd3dff, 0xb37fe345,
+    0x5fc49242, 0x56807cc7, 0x9eb5fc38, 0x635ea3ab, 0xa00f5c61, 0x7adba24b, 0x86f379fb, 0xb5c7ab46,
+    0xce9bbdd0, 0x5a6601ae, 0xf8675df7, 0x64b20307, 0xb7092c0b, 0xbb0ccf51, 0xf525231f, 0xefdb218c,
+    0x7e4f2330, 0x936b7fbb, 0xc629d599, 0x509409a6, 0x58925f6e, 0xa20bea9a, 0x6ce448a2, 0x16f4cf95,
+    0x99ab4aa7, 0xf4332bd0, 0xa86b74a3, 0xb0cf6870, 0x4368da7e, 0xaadcd082, 0x51a0d932, 0x48f2b91c,
+    0x7c646bfb, 0xf18e892d, 0x691eebed, 0x38e2e5ce, 0x0389aedc, 0x1d61a31e, 0x8af75642, 0xde2194d5,
+    0x5f7182fc, 0x750fc298, 0x2248f6cc, 0x0e62a75c, 0x0ecc3eb3, 0x7330d4a3, 0x6d5517b5, 0x0f418ad4,
+    0x89968d13, 0x5e4c068d, 0x352a4b87, 0xee609dce, 0xe6af6e77, 0x0da9a852, 0xe4c164c4, 0xb671a076,
+    0x33696d46, 0xe3b3e808, 0x5dee6d4c, 0x0791d15c, 0x6c68ab06, 0xecdef4cd, 0x81f1bbaa, 0x1c24b173,
+    0x269a8a6c, 0x0829cb3f, 0x8cd89222, 0xad53e9ba, 0xe89cb6f8, 0x8f944694, 0x9721e72c, 0xb0f3885f,
+    0xce4df9cb, 0x3aa6b88c, 0x8c20a7f8, 0x730a2447, 0x88aeeef9, 0xcc497627, 0x1191a352, 0x8ff39497,
+    0x885416da, 0x6d718f0b, 0x2b477011, 0x8539bea8, 0x9442895c, 0xe5dd619f, 0xd940b3f9, 0x0a0a7b67,
+    0xd000d0db, 0x11aaa456, 0x66d41702, 0x1e1dae3a, 0xb10b5ad2, 0x2d684c2e, 0x2fefc235, 0x9bf4e5e1,
+    0xd3209f76, 0xaa1d9692, 0x79bcf5f8, 0x4a735055, 0x7f034d1b, 0x85abd81a, 0x8433ead7, 0x88fbe60b,
+    0xf681ac6b, 0x5f961b63, 0xd9111597, 0x724ff991, 0x1152aafb, 0xad91e257, 0x7a24f60f, 0x27bd3c8d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000079571717825\
+                         56586274486115970349133441607298412757563479047423630290551952200534008528896 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979,
+    0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d59010, 0x5cf0b3a0, 0xcca1fbd2,
+    0x00000000,
+    0xd42b03f5, 0xdbd73a76, 0xae3e4a8e, 0xa3f86e64, 0x589a7816, 0x1a458f74, 0xa05a2247, 0x40563482,
+    0x3f873925, 0xc1995ad5, 0xd495885a, 0xa5fac367, 0x46440450, 0xa4e9ecce, 0xc8484439, 0x7b7caf8e,
+    0x8aeea35d, 0x9913fe2b, 0x2812f262, 0x9eb52a54, 0x492f7477, 0xce8f286b, 0x01041732, 0xbaff1399,
+    0xc5d3e632, 0x2e453de4, 0x767a08ab, 0x383d9449, 0x5ddc387b, 0xd1185ae7, 0x21139b17, 0xaa16ff8a,
+    0x57fa2dba, 0x54647b93, 0x76c77c99, 0x028e273e, 0x105da111, 0x1d329f61, 0xd506e845, 0x33f23a25,
+    0xc3d5164b, 0x1e9a3f98, 0x53c82e06, 0x041278e3, 0xe512fecb, 0xa8223a77, 0xbc0df4d2, 0x52d166f6,
+    0x9f9e1880, 0xcef302bd, 0xf193e093, 0x4d61cb68, 0x4c762541, 0xd27a980d, 0xade9dc64, 0xa75b0311,
+    0x817231f9, 0x85b93a72, 0x64c6c949, 0xc37b453a, 0x07ad6654, 0x255c22dd, 0x68e05861, 0x77a54099,
+    0x54ee482a, 0x896d1a5b, 0xc78db7e1, 0x065127d6, 0xbfa2a194, 0x468784b4, 0x3d1fa02d, 0x6cf50bab,
+    0xf503a7fa, 0x528337da, 0x03cad365, 0x99fdac8c, 0x0b00ce17, 0x833b7ab8, 0xc80921ef, 0xd31c403e,
+    0x156f0bbb, 0x10fc6898, 0x23494eee, 0x57a035a2, 0xf45273b5, 0xb6deadbf, 0x1e2d3f5a, 0xf2bca754,
+    0xaeb5a98b, 0xb7a18e06, 0xc101ba8f, 0x0e23a31e, 0xa59501c7, 0xb481bcfb, 0xd2324bc9, 0x8274c0e1,
+    0x3381ecbb, 0xefa708e0, 0xc06c307f, 0xff540dec, 0x2928935a, 0x9ceb4eb7, 0x36a270ff, 0x30b528f7,
+    0x4f0810e8, 0x46a3a024, 0x2b66c692, 0x2cb771d0, 0x0c400efa, 0x3024c0b7, 0x300ab51f, 0xd1193123,
+    0x6d453303, 0x287906f5, 0x9c9e3747, 0x2c3676df, 0x2cb5afbd, 0xf8729823, 0x1ab642eb, 0x86ab9319,
+    0x00e9f56f, 0xb714beb5, 0x4a67010f, 0xd04a42ac, 0xc3522c51, 0xb9562100, 0xedd7d822, 0xe09f03f4,
+    0x2137117d, 0xf0515bd8, 0x302f0e8d, 0xffaa7035, 0xf2599658, 0xcea195f7, 0xff2bc311, 0x3ac73bc0,
+    0x561f4ea7, 0x3f69b8c1, 0xeaa3a2fc, 0xfd01fe02, 0x7f4622d5, 0xad535ce2, 0x08f0e657, 0xebdc36a3,
+    0x0c0ba5b8, 0xa2d68ab8, 0xfc40d2cd, 0xbcea5243, 0xb92bd3eb, 0xa6ec5e3d, 0xc907a69f, 0x17595537,
+    0x3bec9b2e, 0x27066562, 0xde4a83a2, 0xb30691f9, 0x8061d749, 0x046253a9, 0xe054fbc1, 0xaf11933b,
+    0x41568177, 0xf562ee8b, 0x7e314616, 0x11378f8c, 0x253c99d6, 0x839b1470, 0xcb9137e3, 0xe19ccb2a,
+    0xc5038247, 0x829f209d, 0xe34b00fa, 0x78beea34, 0x1105af93, 0x6d718bf7, 0xbcdbadfb, 0xdb6e5fa1,
+    0xaa7193d4, 0x5c34174e, 0x9d6c2f96, 0x954ec2e1, 0x7292174d, 0x47eb6cce, 0x5031136c, 0x2dce2386,
+    0xb46ac63d, 0x79c21bc9, 0xef1bb2e7, 0x90a60892, 0x2f314944, 0x2ba8ba46, 0x6172f578, 0xce096c32,
+    0xe4cc614d, 0xfdf2efcc, 0x4c5ee435, 0x35dae10d, 0x2ac1b332, 0xeb23cfa1, 0x57122d3c, 0xfb965de2,
+    0xc53d5345, 0x536118e6, 0xdbf1376f, 0x224e0581, 0x34cbcbfd, 0x5697fe33, 0xb7c8d507, 0x8de29e7b,
+    0x782762ad, 0x6e55f233, 0xcea71fc6, 0x24dad9d1, 0x9bdf5ae1, 0x1b4297d5, 0x1ed26456, 0xa82be588,
+    0xdcef2241, 0xc1229f52, 0x37b9c4c6, 0x188e4331, 0xd10547fe, 0x467b68da, 0xb71e07a3, 0xebbc10d2,
+    0x292bf7eb, 0x36399046, 0x9dca7ed9, 0x5b9d48f9, 0xe0d6fd56, 0x8b82b80a, 0x9a08a25b, 0x3da4074f,
+    0xb2d6cb87, 0x016d8046, 0xc2ae2f0b, 0xd4567e8b, 0xd4a0e5f0, 0xec00b68f, 0x93c518a6, 0x4b906a51,
+    0xcbb0fcfc, 0xe70afc55, 0xed3d5357, 0x63152804, 0x621650c3, 0x869926da, 0x06428dcd, 0xc47b9a12,
+    0x2d6f860a, 0x6e043ca9, 0xc1f79614, 0x9d986aff, 0x3e1dec7a, 0xbaa0b871, 0x294730f8, 0xb4852cc5,
+    0xdac568a9, 0x050299c2, 0x0e3ab933, 0xe1c4edca, 0xceaab2dc, 0xafc02185, 0xc9bcfc25, 0x673461fb,
+    0x4237e501, 0xf1213830, 0xf78fdb34, 0x2de73c18, 0x05a338d7, 0xa0825b93, 0x4fdaaca5, 0x72a7048f,
+    0x7efff6eb, 0xf4a4ba0b, 0x3102b898, 0x94e2ef68, 0x972392a8, 0xb7eff834, 0xa38f9f1d, 0x1e170ae8,
+    0xca5c4dff, 0xa9672a49, 0xdc3e3e23, 0x7122521a, 0xca577bcb, 0xd8a30dae, 0x35799e07, 0xc2e489bb,
+    0x1f643dda, 0x17671399, 0xd03f0bfc, 0x6cf843b7, 0x3cdbf5f4, 0xa177e386, 0x67e61173, 0x7b58cc15,
+    0x982048ef, 0xea3acf9d, 0x1a3d30f2, 0xa37c23cb, 0xa65b60f5, 0x5711db9c, 0x1c838822, 0x97f03d14,
+    0xec73778b, 0x72a7a184, 0x409e913b, 0x433fceef, 0xacbd5b83, 0xcb459f97, 0x0157fcb8, 0x9be26800,
+    0xa3ca51cf, 0x2c35ebed, 0x0556a038, 0x57a0b317, 0x9611c6a8, 0x524fddac, 0xc1429e12, 0xcb9f88a5,
+    0x674c9326, 0x9a6ba7cb, 0xf493951a, 0x6e3c62a6, 0x46e8c575, 0x393b3bd3, 0x4fa31abb, 0xd1e8501a,
+    0x44af82cb, 0x98ff010e, 0x967b75e5, 0x2f703e58, 0x3847fad4, 0x36101612, 0x7b2b8acc, 0x878b3acc,
+    0x9f3aac4e, 0x342b3fac, 0x1691f209, 0x4435eed7, 0xaea9ae88, 0x2e007666, 0xab950d40, 0x3a35fd16,
+    0x19c6ec32, 0xe92db320, 0x9b103c8e, 0x3454ca87, 0xe0778427, 0x1f07abe3, 0xe78b5857, 0xe82f9587,
+    0xcc2572b1, 0xc2915f05, 0x8dc21818, 0x10b240d4, 0xb334bd6e, 0xb6a40d10, 0xfb4e635e, 0x52165aee,
+    0x874f068e, 0xb8262eac, 0xcc15ca7c, 0x5fdf9c24, 0x0b7de239, 0x1e14d9c5, 0xea3f814e, 0x1f387053,
+    0xdb1058bc, 0x78aca46c, 0x71320e65, 0x6643967b, 0xf76c189e, 0x804e7d62, 0xa4ca2f7c, 0x17f4ad19,
+    0x9f2214e3, 0x474b35da, 0x11ca8324, 0x09f219d7, 0x55e1b085, 0x4580b885, 0xae7a3b0f, 0x7c8908e2,
+    0x62bd79a3, 0x8fdc103b, 0x2e27db7c, 0x57d0af9f, 0xab5d9c24, 0x472499c5, 0x2fe7b818, 0x9060cc30,
+    0x4b962ed4, 0xf98b8964, 0xca4513d4, 0xc2ba5872, 0x685f9b9d, 0xeec40b89, 0x8e0fafd9, 0xaf808fa1,
+    0x4a5298e6, 0xc7ed4376, 0x192b0f33, 0xd3ad5154, 0x46ca6bb7, 0x441946ea, 0x67d5642e, 0x6677d24a,
+    0xe0e7c213, 0xd8d2fd87, 0xd660b834, 0xc4ea95fb, 0xe08c1f3a, 0x8789732e, 0xe9466986, 0x341c613e,
+    0x6d8d7ef5, 0x20979fb6, 0xcf7d24a4, 0x905da087, 0x82a7d352, 0xe431aa71, 0xd4d6086d, 0x44510c29,
+    0x90e26df7, 0x86c20948, 0x3e9700ac, 0x8897ce36, 0x72ce42d0, 0x65f0ad86, 0x78bf239c, 0xf60e2734,
+    0xf489bb4e, 0xd572e40e, 0xfa146646, 0x51a49478, 0x6843a5cf, 0x151367f7, 0xa6592145, 0x7a2c1d19,
+    0x567fbb6d, 0xb8a4b453, 0x5aba90d8, 0x2bde1a91, 0x50996733, 0xbdf20be6, 0xb3320c5f, 0x5a8dfdd7,
+    0x1008310a, 0x8424f06e, 0xf0e11a70, 0x2841886c, 0x8864901b, 0x8734bef1, 0x2b381d13, 0x9cc3fb3b,
+    0x3c6a0242, 0xa9abceab, 0xd209851e, 0xe184c7ca, 0x3b70ce4c, 0x539a5578, 0xe57a7532, 0x1ff250c2,
+    0x84604795, 0xf29f3cf2, 0x14b732af, 0x66b99442, 0xc5ce301e, 0xfa84b390, 0xfa19598b, 0x532a5a7e,
+    0x66f0e22a, 0x451be78b, 0xc42faf2e, 0x0d822c72, 0x1beca8ce, 0xd38ca3bc, 0xe734707f, 0x57baa7ae,
+    0x541edfae, 0xc6e0f69f, 0x5ea1a2a0, 0x91eb6b79, 0xfea6f6dc, 0xcf1673f2, 0x94d08602, 0x0e1f77e5,
+    0x96f2efeb, 0x737dd25f, 0x76b20270, 0x9419fbce, 0xc51ab45a, 0x9bd2ebb2, 0x3a1aa207, 0x91500a78,
+    0xb41eb484, 0x67aa56be, 0xe130388a, 0x1de82ff0, 0x68f13a59, 0x0cf9ea91, 0xb691cd0e, 0xa49a0a48,
+    0xb82598ff, 0x6083c276, 0x06bf75e3, 0xb7e292a6, 0x6eaf45a0, 0xf9a16100, 0xfaa2dbb7, 0x79d785aa,
+    0x2c84e07a, 0x2e54feaf, 0xb17e1371, 0x23bc8336, 0xbe427bd1, 0xbdf14393, 0xed266f10, 0x43089a4b,
+    0x86e57976, 0x80cf76b9, 0x1895a6ac, 0x5389641d, 0x2aa1b818, 0x442e265d, 0xcdbbb7cf, 0xa280db7e,
+    0x80771e5a, 0x9f6396e9, 0xa42e7e4e, 0xeea0d22f, 0xba209df9, 0xd035ccf4, 0xc855754e, 0x93afa29c,
+    0x11fc0acd, 0xccff54dd, 0x83f855fa, 0xebcb532c, 0x153b7a15, 0x05fbe578, 0xf030105c, 0x33a6a913,
+    0x5bab503a, 0x75ef2725, 0x7e8d6f0c, 0x12d9bfdd, 0x18d0057a, 0xb96d60ea, 0xd1f23438, 0x50a1ee1f,
+    0xae9fd29e, 0xce897055, 0x84f0b007, 0x618b2fef, 0x717e965a, 0xf36b3b26, 0x5933b7de, 0x3fcc2574,
+    0x9cde68b7, 0x7bda4a9c, 0x0b9fccc2, 0x3573268a, 0x9afaa88d, 0x3fe13774, 0x8543ecf7, 0xd9112d8e,
+    0xe8e40924, 0xdcb612b5, 0x1f3334de, 0xeb04f53a, 0xba573622, 0xce880277, 0x2667510b, 0xf513e4b0,
+    0x833d5951, 0xd887e25b, 0x4fabd8db, 0xbee6cc79, 0x83ad060a, 0x98403534, 0xf4aaba53, 0xf1b12ee4,
+    0xbf2c63f6, 0xa69576e8, 0x9ebb4f7c, 0x9eb1b007, 0xdbc0d48a, 0xf0556c8e, 0xfa9b49f9, 0x8f25333a,
+    0xe41110bb, 0xa17c5f9c, 0x240560ca, 0x74c3fb30, 0x8b056ac2, 0xf9c3ce8c, 0x025f7622, 0xd422ae15,
+    0x826907f8, 0x6bff3091, 0x4a2d38fc, 0x77ebf97d, 0xe4c99c0a, 0x48c9a2c4, 0x344387a4, 0x7753a659,
+    0x47f1f5dd, 0x4728fd2c, 0x3db43bad, 0xc8f40842, 0x1c7ba89b, 0xa4d5c56e, 0xa34d5640, 0xaa74b779,
+    0x61d94de4, 0x56cac3c3, 0x1bc49ae3, 0xaca09c4e, 0x9c839d00, 0x90ff57e1, 0x687b8e65, 0x6702bee8,
+    0x72408e67, 0x5a336690, 0x27e7a683, 0x26e7df63, 0x747343a9, 0x42ca6207, 0x6235024e, 0x9207f02e,
+    0xce1a3e97, 0x4a1c9bd1, 0x00b150af, 0x6c0fc1a6, 0x6b816498, 0xe332fd5e, 0x469a0119, 0x39d44d80,
+    0x94bf2d43, 0x1053d9b3, 0x2f5b2ec8, 0x06951655, 0xd137c650, 0x0f35d582, 0xce50a843, 0x88024743,
+    0x49f4a26a, 0xc5a99d0f, 0x7598e794, 0x4fbe8985, 0xb9e24103, 0x5cd2ca77, 0xf7c2b823, 0xc6034b26,
+    0xf05cefbb, 0x7552ba64, 0xf5c3481d, 0xfc0daf0f, 0x5e470766, 0xa5c100ef, 0x6288a1b4, 0xe7526d99,
+    0xc027334e, 0x4e993001, 0x9fa4b054, 0xf6d3ec4f, 0x13cb5174, 0x021f04c9, 0x92218faf, 0xc094e530,
+    0xf238109a, 0x78e3760b, 0x5b899114, 0x5e6314d0, 0x04c3e591, 0xb9aa9f1a, 0x5fc55c0c, 0xaf5eb239,
+    0x00a8a371, 0x41a03482, 0xe22c4c1d, 0xcef98f21, 0xe823a416, 0x5a4bea59, 0x394c6146, 0xee150789,
+    0x03d85435, 0x14bf74c9, 0x37e124b1, 0x9a012d12, 0x4092934e, 0x4f4c6184, 0x0988c6a3, 0x6fab59cf,
+    0x711638e7, 0x0de68f15, 0x2a1ae43a, 0x4245ef6a, 0xf4a1841b, 0xa034ad70, 0x380ea906, 0x39d1e623,
+    0x74b99f7d, 0x4396eeae, 0xbcacde5e, 0x312832a4, 0xc11ef77c, 0xdbbaa863, 0xd52c83cb, 0x91d10f64,
+    0x437fa634, 0xbded1b78, 0x20a0e2aa, 0x27e7c270, 0xf50d8cb0, 0xe881824e, 0x043994de, 0x699e96d0,
+    0x1f31a315, 0xa6021f71, 0x208e03e0, 0xdf6bcf66, 0x707be438, 0xd27ff117, 0x81c7a3b1, 0x7f6f59e2,
+    0xc77a4f3a, 0x2d911db3, 0xfd1c1538, 0x498ebc30, 0x263c4969, 0x5b35a391, 0x3306ee84, 0x00dfbb39,
+    0x45b99cd4, 0x7b69c8ea, 0x1ed4aec1, 0xd9eecaa7, 0x4932b76d, 0x038f55ca, 0xa98a348e, 0x7ca64ba6,
+    0x512fe8c3, 0xc223c958, 0x260c412d, 0xaaedc6ea, 0xcb05f33d, 0xe4a1e4a7, 0xc23b2ddd, 0xe1692736,
+    0x67f946c9, 0x3f4d70eb, 0x36b84b00, 0xbe61d555, 0x6e337dad, 0x9d11def5, 0xd7131e8f, 0x77d15be8,
+    0x1ed9743b, 0x44b2ae88, 0xbe67f15e, 0xed38c26b, 0x1322ae29, 0xa7a78f10, 0x7a9c4542, 0xaf58ee27,
+    0x695d4ce0, 0xd55f89fa, 0x7aef4c49, 0x8860441d, 0x463ad404, 0xe49c5ca6, 0x14283ecf, 0xd0fbf2ef,
+    0x8f8818ae, 0x4b745ca8, 0x9845edea, 0x9b9bd3c6, 0x08430954, 0xb66d2475, 0x2e019a05, 0xceb99502,
+    0x4e07db0c, 0x49cc21f4, 0x2a27c73c, 0x0dd969b9, 0x2f7aed6e, 0x32070e7d, 0x2bc9a521, 0x5dfef5ef,
+    0xdd82faa6, 0xa089d640, 0x9735586f, 0x86884a80, 0xbc033b2d, 0x9903172a, 0x03fc9a41, 0x0c9046a7,
+    0x2290c86f, 0x9f9f4564, 0x37f2aaef, 0x0658f29d, 0x6094ebfe, 0x170e5235, 0x4a44ddfa, 0x676d0a55,
+    0xcd55830b, 0xac21139d, 0xc1edaf1d, 0x1aed8c00, 0x1ac24051, 0xcce2db5b, 0x7ece3dc8, 0xfa5e2777,
+    0x371dc5d2, 0xd3013fb5, 0x3d4afa6e, 0xec7540f0, 0x5e2de389, 0x6bb075d8, 0x75f02549, 0xb21f97aa,
+    0x6e9d1378, 0x66428eae, 0x96537cf2, 0x959637e0, 0xddab6e30, 0x4e1cad7b, 0xd8dcc9df, 0xc83c6fe2,
+    0xa450778c, 0xf443bb2b, 0x52719656, 0xfee933c8, 0x37825599, 0xcff4e629, 0x9acea9f9, 0xf0276341,
+    0x522d4d0d, 0xb173211f, 0xb4634651, 0x30e711d5, 0xb802154b, 0xd4dfda47, 0x9ec11ea8, 0x4f6aa000,
+    0xb67aad05, 0xba5b702b, 0xab6fe643, 0x74f8d8f5, 0xb35430d3, 0xb34b7777, 0x34ecfbe7, 0x370cfd0e,
+    0x96e07e10, 0xff1adc78, 0xa4f6d92a, 0x9e0ee5ed, 0xce916aa0, 0x35c0dc7a, 0x53f46a44, 0x71045594,
+    0x3c9f5be6, 0x185817f9, 0x04ed7a83, 0xd0a10f6f, 0x26e40222, 0x1ea42054, 0xda2b2a9f, 0x2ee6a8a2,
+    0x1a1945ab, 0x1c63e8ec, 0xc6b22fe8, 0xe5031113, 0x61f33e4e, 0x50f2f666, 0x0bca4247, 0x80cfd425,
+    0x98a51c93, 0xce533702, 0xac451bd6, 0x2338dab6, 0x68d12faf, 0xeb44d8a2, 0xaf667402, 0x36d3b4a3,
+    0x72fae5e4, 0x6a6b5cba, 0x0641e91c, 0xf5c8750e, 0x5f9764cd, 0xc3292078, 0x9a782a58, 0x89dd482c,
+    0xb574cf2f, 0x46d00206, 0xbb958c8c, 0x5a8d119e, 0x34149394, 0xe561e822, 0x1e2ecdbd, 0x242a4bd6,
+    0x56c80fcb, 0x26184af0, 0xf6c195f2, 0x7aa1c687, 0xf2883b34, 0x70dbd6db, 0x946f797b, 0x2eb80a5f,
+    0x1a7368b6, 0xf3e0c576, 0xa97a03e3, 0xce9aec79, 0xcbbf4628, 0x6d006c9b, 0x38af3fcd, 0xd4b907af,
+    0xc2da43a1, 0xfcaf77c2, 0xf475c1f6, 0x3c33adc4, 0x0748bc79, 0x93edef1f, 0x45bf5c56, 0x8ed94fc8,
+    0x8b7b52c3, 0xa3320f31, 0x7494ef44, 0x29213f8f, 0x4a8ac10d, 0x252f9307, 0x7919cb84, 0x81f8863d,
+    0x508facc7, 0x4b15337a, 0x65ab8121, 0x8490b387, 0xab02c37a, 0xb9d0a558, 0x5f454523, 0x17ced851,
+    0x16362345, 0x608b2901, 0x28dc0b1e, 0x53e8d4c3, 0x8a439da1, 0xebbd044e, 0xbe27252c, 0x6ee15097,
+    0x44e767c2, 0x50687800, 0x7f3cbb2c, 0x06897cec, 0xec9b7d14, 0x580bf030, 0x0afc924f, 0xa50e9267,
+    0xfa4f8ed9, 0x16b103f7, 0xa79e6019, 0xa9131d33, 0x09ac8bd2, 0x220f543d, 0xe3eb8d76, 0x620cb484,
+    0x31e80105, 0xb73bf1c9, 0x4305bbf4, 0x8534573c, 0x10260bee, 0x3d872437, 0xd1cb8686, 0x0577368b,
+    0x7c2dcf7c, 0x50c7ccd3, 0xea425a8e, 0x84c88a65, 0x8656969a, 0x0325f9ee, 0x21ca316d, 0x781715f6,
+    0xac821273, 0x91f3957f, 0x09b6cfb7, 0xfb9cccb0, 0xd49ee3a8, 0x5064918d, 0xcf69670c, 0xd9654492,
+    0x10e3e84f, 0xf6d9b181, 0x8a0b3004, 0x75a6f6e9, 0x41156d60, 0x56ec2c7f, 0x9c4a2633, 0x0a16a94d,
+    0x80e151de, 0xccae8e02, 0x7d044039, 0xfc527e0e, 0x889c2b09, 0xdc1f5bf6, 0x671723aa, 0xbdf69764,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000039785858912\
+                         78293137243057985174566720803649206378781739523711815145275976100267004264448 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc,
+    0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808, 0x2e7859d0, 0x6650fde8,
+    0x00000000,
+    0xe90e4a40, 0xa230602f, 0xa0ad808c, 0x54b560d8, 0x8f9f5449, 0x127111cc, 0x615d0a51, 0xc6253174,
+    0x1205c216, 0xed92c0b8, 0x9b37f5e8, 0xac7e2259, 0xffebd5a4, 0x1b894e66, 0xc50888dd, 0xb19a14fc,
+    0xf968ca79, 0x37014d1a, 0x911b3953, 0x338dfc37, 0xc37dc439, 0xa961eb3f, 0x2c985bfc, 0x2a0c6f06,
+    0x5832014f, 0x6af3863e, 0x6e53d85b, 0x998c8f1a, 0xdc1b139f, 0x6e4d3a97, 0x0aca333b, 0xc917d239,
+    0xd9323d17, 0x9e3deb59, 0xd57716dc, 0xccd01f7d, 0x51b3dc90, 0xfcfac724, 0xd4e6a554, 0xdda84a21,
+    0xe528cd17, 0x04377af1, 0x32caf2c8, 0x5ef807e8, 0x09eeae44, 0x23b1bef3, 0xe8e94100, 0xccf37a22,
+    0xd124ed6c, 0x16e39148, 0xd4c94456, 0xc2083541, 0xf373e5bf, 0xb039cf43, 0x55959c20, 0x8dafebbe,
+    0xc1828b04, 0xcea0d1e0, 0xbbbbddae, 0xd7b15624, 0x5907fb8d, 0x155bda5b, 0xea92be14, 0x6984b180,
+    0xa4f794d1, 0xa8006a86, 0xa7df696b, 0x1e48b038, 0x990d0422, 0xc36070a9, 0xe7198f30, 0xc6d46669,
+    0xf4b1f1af, 0x40134e37, 0x1a74a448, 0x2bce7028, 0x09291280, 0x8ccc28d6, 0xdada0247, 0xf53ddcc7,
+    0x3c12bb27, 0x1542756c, 0xfb0d6d0a, 0x5abb06c7, 0xe4aaefe9, 0x74647988, 0xe3310c4d, 0x7123d436,
+    0xbc7fee8e, 0xa0e3c3da, 0xf7502764, 0x1cc69d6e, 0xc98d5a69, 0xa0d97c2f, 0x4764b835, 0x6eaf9b8e,
+    0xced2472d, 0x704b908b, 0xda419a93, 0xff7ebcd4, 0xaa1706a6, 0x36685d62, 0x2c2ebf15, 0xf6193b7c,
+    0x3d211af1, 0xda6df8c4, 0x8e906775, 0xb103defd, 0x774d18ad, 0xee1cb148, 0x4f8bc3f8, 0xfcd601e0,
+    0x44bd993e, 0xbb070967, 0x48bb5e0a, 0xd321343c, 0x5865f0b6, 0x0fdc8978, 0xf9dcd611, 0xc6001cca,
+    0x85db9ce4, 0x230bda68, 0x29b0d2a2, 0xe19f6117, 0x4753f4c5, 0x3063bab9, 0x4eeba4f1, 0x53e26aa8,
+    0xec364925, 0xb01f6162, 0xa583c1df, 0x6ca346d8, 0x7b89d88e, 0xdbd430bd, 0x6a814c2d, 0xe5e56f12,
+    0xa271ed83, 0xc3ce2386, 0xf7dcd7b3, 0x4a804ebd, 0x4ae26da0, 0xb6a3c7c0, 0xe755929c, 0x9862f9db,
+    0x39ab05d9, 0x911ffded, 0xc48b9291, 0xaa7fd0c9, 0x6ad21765, 0xfdee0abf, 0xebadc850, 0x75461815,
+    0x7ca9b725, 0x75bf5a36, 0xab003fd0, 0xb6b69c14, 0x0197f155, 0x76c69862, 0x5a811a1a, 0xf9bcee43,
+    0x5114af80, 0x57b07d3c, 0x7d10e0c1, 0x1de8b72b, 0xf2be8e16, 0xea254445, 0x72a3afc6, 0xc40cb584,
+    0xcd084edd, 0x3bee6b14, 0xc184d7f6, 0x034359be, 0x27d6594b, 0x23a04aaa, 0x67aac909, 0xb5f19cf1,
+    0xb49ae6b4, 0xc10365ad, 0x74f864f4, 0x9fdc6089, 0x952bfcf1, 0xd9e1a32a, 0x100e5cbe, 0x630e0d1f,
+    0xca367e32, 0x3814a4c5, 0x54f99f4f, 0x9dc9a93c, 0xcfa21148, 0x9c951173, 0x68d09dd2, 0x45f3cc7d,
+    0xfd472725, 0x4d2e9a4c, 0xd8e58f34, 0x54a01d2e, 0x218b32d5, 0xa3001e23, 0xbc323538, 0xbc39e829,
+    0xf41d3dc5, 0x3cc7939f, 0xae19d024, 0x5420d0f4, 0xc2652e3d, 0x794fc3d7, 0xb0df25a9, 0xd4ff9abd,
+    0x93e1b0bb, 0x710a7f3e, 0xb0d5de2d, 0xda8eb28b, 0x2d6f0197, 0xd62c855e, 0x2bd19683, 0x154d75de,
+    0xcf2dc492, 0x3e23f801, 0xe708cb77, 0xe92bd5bf, 0xc60193f3, 0x1d669895, 0x5048906c, 0x678e9300,
+    0xca4baf81, 0x70701051, 0xd04cc693, 0xae3b3878, 0x5c8bf215, 0x23ef297d, 0x07f2c88e, 0x68c5d6dd,
+    0x55e88b6d, 0xda5feab6, 0x16f250ed, 0x3ba494e6, 0x2959988d, 0x1853718b, 0x66e5bc80, 0xb2d1e811,
+    0xca8ff3a2, 0x45c3e6e2, 0x83e29daf, 0x6fec78e2, 0xe40e8e54, 0xb336aba9, 0xce91d920, 0x934eb666,
+    0xdb02fdff, 0x7386c3a9, 0xb8c62307, 0x9a2771c8, 0x98aadf71, 0x0692a452, 0xe600edea, 0xc50f65ea,
+    0x03fed66f, 0xe421517f, 0x55ad7561, 0xdc3bc9ae, 0x392b4998, 0xf257347f, 0x5ab3e3de, 0x7a07c00f,
+    0x1f1f65d1, 0xa2f95e7d, 0xa4f2cd4a, 0x6f9aa149, 0xfdbfff1c, 0x9194ee42, 0xbde48ace, 0x65a54c8b,
+    0x9aa0a595, 0xa726254f, 0x9a160abc, 0x1d8ea44d, 0x7833c7bd, 0xa0d9de4c, 0x9a0e4243, 0x591f8202,
+    0x3fcc9f77, 0x51978f52, 0x928df95e, 0x0ddcb3be, 0x516e0fce, 0x1ac0b9ee, 0x81fc9aae, 0x1bf4205f,
+    0x7cb019bb, 0x1d042b65, 0xbd01dee2, 0x25865b78, 0x6ac01e0f, 0xe48f5f8b, 0x2d47be12, 0xc401e71e,
+    0x88bd8479, 0xa18dc8fb, 0x24cada00, 0xfa54f8e1, 0x54e92ff9, 0x49c397e2, 0x881d5a3e, 0x9b6bc7f0,
+    0xbe350005, 0x6378ba3f, 0x7f9f8782, 0x74fafb67, 0x5433d841, 0x1ef9b50f, 0xd871a428, 0x2b277749,
+    0x7a868ed6, 0xa8906e79, 0xf627be17, 0xb30fa910, 0x76516e7f, 0x690a339a, 0xdbbc8678, 0xfa76464a,
+    0xb8738b22, 0x2733ce9d, 0x205a5d2c, 0xa85cbdf6, 0x1ab6c4df, 0x1054eec8, 0xcbf80b95, 0x594f21da,
+    0xe36c4b70, 0x2d41f885, 0xce1b9ea0, 0xc6237e35, 0xd7189206, 0xffbbac45, 0x0e837cdf, 0xeea39588,
+    0x83838c4d, 0x913fc690, 0xbf1847ad, 0xa81e84d1, 0x193f09ac, 0x97a79631, 0xe1f5eea7, 0x63dba105,
+    0xa388df65, 0x9f56173f, 0xa21fac3e, 0x704197cd, 0xcac5a995, 0x701ffb11, 0x1708fa5c, 0xc7dd8853,
+    0xf4a3c40e, 0x9cc3ffd1, 0xdbe1596a, 0x841269b4, 0x0c32218e, 0x157f2d7e, 0xcfdbafdf, 0x2ba5058c,
+    0x9e2703f9, 0x457f30c1, 0xc6b8719c, 0x98d93678, 0xae7ef621, 0x82617e7e, 0x5825b55a, 0x38e5a4dd,
+    0xb7e24855, 0x30d562d8, 0x9a83bf21, 0x30026349, 0xf12839d4, 0x012c9516, 0xa7309d76, 0x774d28a4,
+    0x12437bc4, 0xf045864d, 0xd28f7202, 0x01605c26, 0x3d3221bf, 0x1bd0f142, 0x59d61c39, 0xcea4f04f,
+    0xaf911c5c, 0x9f78437c, 0x7e0735f0, 0xe2d94a3a, 0xf7665041, 0xbb19079f, 0xe14f0e82, 0x4b5f6574,
+    0xf872acc4, 0x01b2f8b6, 0x5a3f030f, 0x80cdc178, 0x69f29b77, 0xb9f0a582, 0xe82333c1, 0x2efe8526,
+    0x59bbdd48, 0xd2fc8673, 0x7bf450b6, 0xc5e937c6, 0x21630d83, 0x70148095, 0x6a960950, 0xe450bfb0,
+    0xb45dbffe, 0x8c9677c1, 0x35ed75dd, 0x537bdff3, 0x4d31019b, 0x9efbdb64, 0x5f0e7ced, 0xbdbde24e,
+    0xec4b2016, 0x6e4e8200, 0xec0c65ab, 0x74e9ffe4, 0xb9c31610, 0x98fb111e, 0x5137c623, 0x232b1343,
+    0x979f5bb5, 0x988e34ca, 0x9f099a9a, 0x4ada8db4, 0x3ad36738, 0xb3ac405b, 0xde505d94, 0xa67cb051,
+    0x558204cd, 0xf2842d85, 0xe35ea942, 0x4455fd29, 0x9e719a01, 0xbe8763f9, 0xe84c7190, 0x3c0f6871,
+    0x8cc20b7f, 0x8af5dc6e, 0x911203d4, 0x87e89a75, 0x12e2d2f9, 0x9c1945fe, 0x44067957, 0xaab8117b,
+    0x001099ca, 0x74b37e6d, 0x122ef251, 0x5eee2214, 0x6e73fa45, 0xe2f82a48, 0x169005f5, 0x70153cc8,
+    0xbb0d132e, 0x0c23baa2, 0xcea98b71, 0x85583233, 0xaa8fc7dd, 0xdbac1cca, 0xb807ccd4, 0xe5c5ded6,
+    0xce660403, 0x44398b89, 0x8a951f3e, 0x94fe4dfb, 0x65a82c70, 0x1cef2ab3, 0x374bbed0, 0x7053da47,
+    0x83f2fe0e, 0xca37fc12, 0x1a6ca5cc, 0x4a497adf, 0xba6185dd, 0x159a4819, 0x770d198e, 0x1424206b,
+    0xb7ace269, 0x5d926d59, 0x6f1335f6, 0xbbe7a4da, 0xe6da7099, 0x9120ed41, 0x113841c7, 0x7be7e98b,
+    0xcf5cd529, 0x6de0c9cc, 0xf1b653db, 0xdb01296a, 0x8991b62e, 0xfbbd5f84, 0x8a9affc1, 0x4d9e6700,
+    0x83b31c56, 0xf5449cec, 0xebaa5b19, 0x3cf8f414, 0x8877515a, 0x346465b1, 0x1cb4844c, 0x9dc7e1a6,
+    0x4afbb5d8, 0x68da7f76, 0xf6e07789, 0x3fc2bfd2, 0x3ef0e7a4, 0x570f3564, 0xcf76cfda, 0x8a1a20d9,
+    0x42050a4c, 0xff16fdf7, 0x67d97108, 0x891aae5c, 0xe6c08251, 0x4a4055a5, 0x57af45e3, 0xd074e837,
+    0x72932a10, 0x1ceed401, 0x6d1d6d01, 0xa6fb9cf7, 0x6e2ccb0f, 0x33524cfc, 0x8f8a80e5, 0xcad32e7c,
+    0xf3dabb8e, 0xde5b5e30, 0xb04eb3b5, 0xfae0119f, 0x0cc7f8e5, 0x178b9118, 0x37313db8, 0x430298b5,
+    0xde58def9, 0x5e710bf5, 0x9a836ada, 0xcc291fbf, 0xc050cf45, 0x0c06121d, 0xb64db68c, 0x25bdab1c,
+    0x9f270936, 0xb1ad1ebd, 0x16a6ea9a, 0x433e2018, 0x133a1252, 0x32b95cd8, 0xc5ddc0fa, 0x712dec2e,
+    0xc458332f, 0xf5614fc6, 0x753092d1, 0x1d9b883f, 0x289648ae, 0x832b6bb2, 0xbd2d7251, 0x2469e20c,
+    0x4c464d74, 0xfa79d00d, 0xd2fb04fc, 0x2f7ecc41, 0xf1f23d9a, 0xd5e37380, 0x39862a47, 0xc282a627,
+    0x1239b7ff, 0xc3e6dc94, 0xc7a380d9, 0xed65af92, 0xe6d561cf, 0x05c84304, 0x1de598eb, 0xa80135fa,
+    0x60dcd2dc, 0x6f09d046, 0x6373afc5, 0xca23d106, 0x252a931d, 0xbe6dcc63, 0x63f18852, 0xdef50941,
+    0x896a4b85, 0x37b29e93, 0x37d427d8, 0x7ddaae6b, 0x4c76496f, 0x582b9bdc, 0x65a17898, 0xd819c8d3,
+    0x04efeefc, 0x10f274e0, 0x52658e9e, 0x9132563d, 0x22ea1b8e, 0x6baa93a3, 0x5c7e2cda, 0x189bbc4c,
+    0x225bef14, 0x80203d8d, 0xbd393270, 0xbcbaa5dc, 0xf63b1569, 0xf3dbdbee, 0xaf45ab62, 0x31ba7709,
+    0x8de49b2f, 0x8ede9c7d, 0xa5771ea5, 0x8e652650, 0x129b86ad, 0xaa9373d5, 0x3cea1aa5, 0x16c15f95,
+    0x06718295, 0x272e0fbf, 0xfbc9484b, 0xac2f9f12, 0x728b0e58, 0x711e942e, 0xce0dfeaa, 0x923d5e67,
+    0x2bdd8547, 0x0b3878f1, 0x171d83a3, 0x3dcda045, 0x69bc00cf, 0xd3761698, 0xbcf4686e, 0xdf575a06,
+    0x30023182, 0xc1dd4106, 0x3ed85a9e, 0xbffc7d4e, 0x85222746, 0xe347c525, 0xe4d51769, 0xf4fa9898,
+    0x3353cd02, 0x4851fb34, 0x878be37c, 0x9ec9a0ce, 0x7bdc2f5e, 0x385aaac6, 0xd0f95925, 0xccc36abc,
+    0x9f9753a5, 0x69e6844a, 0x80f7d657, 0xdab49f13, 0xcf4c222a, 0xa5903317, 0xef881f58, 0xc90a41da,
+    0x529713de, 0x83e0337a, 0x65610b97, 0x4e737046, 0x34af2269, 0xc1da070b, 0x5a3f3975, 0xcef550a9,
+    0x3ee04b9e, 0xe1439428, 0x0d957b2f, 0x56ca12af, 0x6904f8ef, 0xa6eb5796, 0x2b552e95, 0xfb494de9,
+    0xc82f16c7, 0x59ff729f, 0xaa7e08bd, 0x559b5ade, 0x68b5005d, 0xcfdc9de1, 0xb29a92e4, 0x828682bd,
+    0xa1f8e14e, 0x5b67babb, 0x5ae0018d, 0x1086dcd7, 0xe615dd05, 0x7ef92d43, 0x3d57240b, 0x06d35b02,
+    0xe969b701, 0xf81178eb, 0x76667463, 0x38e7b058, 0x84282308, 0x74745ce2, 0xf0bffb9f, 0xf77569a4,
+    0xa8c25b5f, 0x407a8d4f, 0xcafec068, 0x4c0d4176, 0xf09e1350, 0x3558a3a0, 0x91e45d30, 0xdafd003f,
+    0x2a7eeae7, 0x0ec34b9c, 0xde8167a0, 0x7cb351b4, 0x3f3a8812, 0xadc3d48e, 0xefccdd51, 0x6b67229a,
+    0x2f383250, 0x0d6e3b86, 0xb943bde4, 0xf1f18433, 0xc36d1758, 0x1e78a4b2, 0x686147b1, 0x91cfa535,
+    0x0116b54e, 0xa673f567, 0x854dba3d, 0x7d8ab05f, 0xea8b2bc7, 0x3d095575, 0x936dcc36, 0x458ec5a8,
+    0xdad18b6c, 0x27df4755, 0x869e123e, 0x73640cbd, 0x8382a98e, 0xfd079f88, 0xa1062275, 0x0f5b4557,
+    0x5898c1a4, 0xbf450903, 0xeba90a7b, 0xf2515b57, 0x23abe7b2, 0x32d70fa6, 0xc1140709, 0xea4d6d14,
+    0x6ec234ce, 0xfd01c898, 0xecc5d371, 0xa83a6bd9, 0x672d9641, 0x55c2051a, 0x13aeb270, 0xd4abdbf0,
+    0x9f0ff1a2, 0x37045a3b, 0xf1dbaf72, 0xa8fdd70d, 0x0fd3348a, 0x3dbd85df, 0x9a9fad8f, 0xa0f3c071,
+    0xb09b2b03, 0xb97568b1, 0x55349581, 0xcd7d7f46, 0x89625da6, 0xc0f64589, 0x0e653f2f, 0x1637cdf0,
+    0x4f1a877e, 0xc9d813b3, 0x58af9304, 0xeebe03cd, 0x41e180e2, 0xeea55208, 0x26da9f42, 0xc25e247a,
+    0xc99b838a, 0x679c6b0c, 0x938ad5f5, 0xc9aabcae, 0xa61d21bf, 0xcfb45b5c, 0xcf1795da, 0x7dee7cf4,
+    0x20a34f6e, 0x271fedb7, 0x91570b36, 0x4948b17e, 0x4d9c8d7a, 0x75e6d150, 0x50f3e114, 0x62e1f1a3,
+    0x4480d5bd, 0x7faa68c3, 0x77782e43, 0x38cbe6a0, 0xd4407571, 0x9d9073ef, 0xbdb44098, 0x26e54cd6,
+    0x610e41cb, 0x2ab4aeaf, 0x468dd71c, 0x0a4da772, 0x828929e1, 0x75cb8896, 0x829f71f2, 0xeaafb9cb,
+    0x779a8c7b, 0x755a8370, 0x58f63f91, 0x3cfea840, 0xf4a9b375, 0x07437e87, 0xcd618af3, 0xe72f972b,
+    0xd9c6434e, 0x8040ee3e, 0xb47e3112, 0x9d5a6aba, 0xc715e0c4, 0x8620a51f, 0xb3ea705b, 0x602e79ac,
+    0x5349daf6, 0x6f3d134f, 0x61a2fe6a, 0x0dbd37f0, 0xf9f293e1, 0x552e6156, 0x9d85a479, 0x29226f14,
+    0x381374b0, 0x048b2fb9, 0x72d74eb0, 0xd4826ec4, 0x2dfc639e, 0xb7faf45e, 0x4a38bb25, 0x1e19c679,
+    0x609e366e, 0x47a5c8e0, 0x8940bd94, 0xd2776aee, 0xd724fc57, 0x344d8209, 0x2cdffcaa, 0x4ab704e5,
+    0xf10e4557, 0xcdeb4ce7, 0x5d8a1e47, 0x428bd0a5, 0xbe8dd1e0, 0x9675b609, 0xd788b615, 0x2079edb1,
+    0x7ae4c09b, 0xb39208e0, 0x1452720f, 0x28e03c4d, 0x4a528671, 0x4ff3bf19, 0x5e408f20, 0xff4dc435,
+    0xdef8d455, 0x60ad71aa, 0xa1db959e, 0x2a2cba9e, 0xb4654aae, 0xc6f54cd1, 0x9c5db84d, 0xc2a86903,
+    0x2a408da4, 0xd467b814, 0x60db19e5, 0x2e3ee8c1, 0xcdf5c80d, 0x11cd8cae, 0x57e40a35, 0x9498d1c2,
+    0x290056cf, 0xac90f9d4, 0xb04872e2, 0x7045ceb6, 0x8731eee7, 0x16392c92, 0x0a2d5554, 0xfd2e28c4,
+    0xdb6131a4, 0x13ff2dcc, 0xe81fb7ca, 0x489bbf78, 0x2cb33679, 0x88f09688, 0x914456f6, 0x93ee9419,
+    0x7b1ee691, 0x682acc3f, 0x33c63275, 0x8d3980d6, 0x685ea230, 0xfd975478, 0x51b049a8, 0x4f14d74f,
+    0x3f36e751, 0xb98d7988, 0xe5ba850e, 0x0ad5a30c, 0xb31668d3, 0x84f292c3, 0xf27e7416, 0x81ce4be9,
+    0x717c41af, 0x051421b0, 0x6d5e8158, 0x24b8b07d, 0xcee047e1, 0x157b9167, 0x923b8eca, 0x5295f20c,
+    0x751e3e9a, 0x40f7d352, 0x1e7bea5b, 0x4dbdfb64, 0x086d5f23, 0x7d04cb9f, 0x1685a953, 0xd49d555a,
+    0x7cebab09, 0x46eeb61d, 0x7f3ae491, 0xbedd043e, 0xcdaa08b5, 0x6598f420, 0xfdb17d6b, 0x8cc414cb,
+    0x07f69977, 0xcff18037, 0x7bf81781, 0x3122b044, 0x965e4d35, 0x32c0a2a5, 0x1fda3f00, 0x536c909e,
+    0x6814afb5, 0x342c7ff8, 0xa59a82ab, 0x0689014e, 0x32af21c1, 0xe7b5592a, 0x9e937d15, 0x21c3d36c,
+    0xe1a121ed, 0x075f8c40, 0xafd4a0c1, 0x05b09146, 0x66a3b0ec, 0x704a2291, 0xc55d8733, 0x6a3a2b7e,
+    0xb81b5bec, 0x5bb4afd8, 0x1abf37ae, 0xba26ae84, 0x1a843cc8, 0x10317ae0, 0x820175dd, 0x637fb949,
+    0xba15d916, 0x3aa72387, 0x88fb565d, 0x587784e5, 0x06fb80e4, 0xcd517896, 0x04d18fca, 0x92ebc5f7,
+    0xdec0d9dc, 0x4b2be1e1, 0xbbae13ef, 0xca248132, 0x65786b9b, 0x48d3497a, 0xe16a3919, 0x1b877165,
+    0x4dc2fa06, 0xf46067fe, 0x04808f8f, 0xf587b861, 0xc6b59549, 0x4461fcf2, 0x82a1b792, 0x8f0120cd,
+    0x9216f78b, 0x5542543a, 0xcbb07ff9, 0x4d9b24cd, 0x8d5866ae, 0x3a2dd7e1, 0x4347f742, 0xe707abb7,
+    0x315b65d7, 0x8a85d539, 0x63ef123b, 0x1415cfd5, 0x98a62a48, 0xb426573a, 0x626687aa, 0xa2377c88,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000019892929456\
+                         39146568621528992587283360401824603189390869761855907572637988050133502132224 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e,
+    0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56404, 0x173c2ce8, 0x33287ef3,
+    0x00000000,
+    0xf4423725, 0xd9989964, 0xe6a6332e, 0x4fc22bc9, 0xb9821ef0, 0x086f8677, 0x2b7d16e3, 0x415efc3a,
+    0x1f717e71, 0xfccd34f8, 0x665aede8, 0x300e8a0a, 0x1b1e7b55, 0x28312fe2, 0xed740495, 0xfb51a8e7,
+    0x83da500c, 0x624f3b24, 0x68a803e4, 0x450378ef, 0x2332d4de, 0x92ebea10, 0x17817979, 0x7bbf9aab,
+    0xbe96bb8d, 0xaa0df49a, 0x4dc06ba6, 0x2b658419, 0xc3dfb5c3, 0xd4f6e162, 0x20157cc6, 0xa630c2c1,
+    0x1aa31516, 0xd3037877, 0xf3f7728f, 0x150c2267, 0x08aa4d60, 0xa41386d4, 0x25466a02, 0x42eebc8b,
+    0x4a9f3db1, 0xd88194c6, 0xf2feac92, 0xeb226464, 0x542540e4, 0x5a7c189b, 0x7b286a56, 0x7cebd24c,
+    0x4897e054, 0x24f3c785, 0x68042b2e, 0xb23637ca, 0xb2379813, 0x54fbcfa7, 0x0bb9d496, 0x064ac18d,
+    0xcd0b512e, 0x7ff96fff, 0x2a4d1194, 0x91792e24, 0x23c2061c, 0xb5c0d66a, 0x6fff91a4, 0x1e7980a1,
+    0x3b88b898, 0x9ad3ee76, 0xe0b3f794, 0xa9e47188, 0x0c453eda, 0xda21b5f3, 0x3e22fbbb, 0x6c0625f2,
+    0xd8fe33a2, 0x0f429d82, 0xf30a0766, 0xa63a3440, 0xe26ece45, 0xd85574b6, 0x8813562f, 0x5dc10b2f,
+    0xcecbda0b, 0x47f8a7e5, 0x2ee97765, 0xcd8b340e, 0x6011a0a1, 0x7a2d486d, 0x7fa0e4f2, 0xfc0a6e45,
+    0xb4299134, 0x2486e324, 0xcbcd2f60, 0xcab0abf8, 0x09178f56, 0xf32b9147, 0x8e738be3, 0xc669ffef,
+    0x468e7123, 0x3f048430, 0x6b51ce09, 0xb76c430a, 0xb99b8a79, 0x2f3d6ef4, 0x0bc372e4, 0xd2304f7e,
+    0xd878060f, 0xd572c123, 0xe844adbd, 0x892ab4c4, 0xb37a4a98, 0xc842507a, 0x1b9b66be, 0xcae1a6fb,
+    0xda698dcf, 0x93724af0, 0x09d0213d, 0x588e6809, 0x7025c00d, 0xb3f3ec4c, 0xf2088491, 0x25a43b52,
+    0xbf8e03ba, 0xa7299279, 0x43d91cc2, 0xdfc79737, 0x44603071, 0xe559f41a, 0xadd4b98f, 0x25069e39,
+    0x97a7acd6, 0xf9d3656e, 0x3ea15d13, 0xf898aa2c, 0x50ecab4f, 0x631749de, 0xe2aa2f18, 0x9abd4e4b,
+    0x71f22a8b, 0xeb89842e, 0x5646a426, 0x1ce43745, 0x4f3c21eb, 0xc1797b6d, 0x5fa4d141, 0x7ae484d8,
+    0x0fa3f299, 0x6c3aeac8, 0xa42f8fdb, 0x93644e56, 0x2871af3f, 0xd6d88c00, 0xfec6a5ff, 0x9ba7de01,
+    0x90fa80fd, 0xc49a2291, 0x1a430f35, 0x5a73d74b, 0x3e895fd4, 0xe1898daf, 0xdea1bd96, 0xdcabcbba,
+    0xcf6513ee, 0x078e4526, 0x8729d971, 0xfc12bb63, 0x4a6ea9d7, 0x75da11a7, 0x1c6d8751, 0x368c7348,
+    0xb3e12c52, 0x151611f7, 0x00426adb, 0xa210c12f, 0xf2ec7181, 0xc21b7ef5, 0xc0766ef5, 0x41acf456,
+    0x07bc5a92, 0xcbbd460d, 0x91f29014, 0x105ba766, 0x096d997f, 0xa8e2c7ae, 0x0e7a0dc8, 0x68ba8da0,
+    0xe28c7ac0, 0x68549f57, 0xd9b085e9, 0xc612a4ad, 0x8b057f16, 0xef14cbeb, 0x725f36bf, 0x011dab0b,
+    0x91197f63, 0x81a7e276, 0x79fce9ab, 0x8bb5d3d5, 0xd04357bb, 0xf87a4e5a, 0x53e0e2e8, 0xc87a9790,
+    0x9773b4d2, 0xb8fcc544, 0xffc0978d, 0x530707c6, 0x493f2fcb, 0x1878c604, 0x4fd1c813, 0x20235e76,
+    0x183bd1b8, 0x873731bf, 0x86d89080, 0xa69bdb00, 0x35746714, 0x4db9e957, 0xbbcca7a2, 0xbf1dd221,
+    0xc59f9ed5, 0x8f176615, 0x962ccdcb, 0xd9d28875, 0x21dcceae, 0xbeed1a71, 0x8b6cd95d, 0xdeda18c0,
+    0xf738ccaf, 0xa35f4236, 0xc9fd0c05, 0x4fad9848, 0xccaf2f5f, 0x1e8ed9a6, 0xdd46e8fe, 0x0f9f2dc3,
+    0xe481b8cd, 0x44e30e51, 0x67edce48, 0x8debcff4, 0x16e3facb, 0x60fbd344, 0x27483d17, 0x1dec2129,
+    0x5ff10c33, 0x18f1faba, 0x3ac8079f, 0x0159081f, 0xdb69b1ec, 0x3e0e1371, 0x2bb0ac70, 0xfd96d0af,
+    0xf93b8fb2, 0x02e9d762, 0x2934831e, 0x1e3fcfea, 0x282b1a6c, 0xae2c9bcc, 0xf25c1d0b, 0x772da056,
+    0x31b8d9fb, 0x44736435, 0xb10e788f, 0xfb38a278, 0xd49f7f89, 0xcd3f659e, 0x78c79648, 0x7a334a1b,
+    0xa26538a0, 0x51ff7314, 0x088ec990, 0xca6433fa, 0xb46137fc, 0xa739982c, 0xef620e69, 0x73bf08e8,
+    0x9194e504, 0xc3be9b77, 0x70f8edbf, 0x54533680, 0x084bbe00, 0x2a33651b, 0x1d37117c, 0x12b47619,
+    0x9d24ecd8, 0xaf5dbd82, 0x857cea8f, 0x1731b0c4, 0xe47a06ec, 0xe18b45da, 0xbc042ad1, 0xbecb31c5,
+    0xf1741dbb, 0x38862cd6, 0x7f432c25, 0x6b8f7373, 0xb3e682a3, 0xa014245d, 0xdf48afd6, 0x2ca3945b,
+    0xb0c84a94, 0xebfe6e6a, 0xc25190bb, 0x8db7d98a, 0x68d4d0c9, 0xfb520d98, 0xb3fc0727, 0xe16811b4,
+    0x509b2538, 0xdf9791d2, 0xc6972648, 0x475115a8, 0xa7618b00, 0x55f81c1c, 0xbeba6010, 0x3e4eb322,
+    0xc75d36c0, 0xef3de5c5, 0xd6c6b15c, 0x9871aeaa, 0x51e59762, 0x8993dea5, 0xbe152289, 0x99220cb8,
+    0xee321aae, 0x001c0290, 0xddf9f914, 0xc6c86aa8, 0xd79189e6, 0x4d017508, 0x490f5125, 0xc39ea2d3,
+    0xd8685c42, 0xb6c904e9, 0xeea49169, 0x20364cdc, 0x202459ed, 0xa75c0afe, 0x0fada2ca, 0x089cd7d0,
+    0x509cc966, 0xb0f77e41, 0x5cbf1b81, 0x035d1c07, 0xf435054c, 0xe8af23b0, 0x65cb6a2e, 0x7c72c57a,
+    0x1c0c2c6b, 0x0b8f0018, 0x44484c59, 0xc9291611, 0x2596f752, 0xde5b2fd0, 0x96ce6823, 0x4a0b7b40,
+    0xeba1cad7, 0x886d9a6f, 0xc48d6ab5, 0x3168e407, 0x92e60d72, 0x1867b5b2, 0x64134889, 0xfc90b140,
+    0xe1118976, 0x7f0af361, 0xfaf4e931, 0x4c77817b, 0xb890d236, 0xa5f9f832, 0x7e8e483f, 0x35e10875,
+    0x6345f80e, 0x4bbbc497, 0xd8f09a37, 0x9c2769a5, 0x666e58f8, 0x1bd40661, 0xfc0d5c56, 0xbd0ceba3,
+    0x423a4085, 0x4bab0599, 0xf83b72ba, 0x385b7efc, 0x5e48c79f, 0xbebc893c, 0xec48f085, 0xf753d57f,
+    0xea0efd1f, 0x724472f7, 0x496c52cf, 0x8fa501e3, 0x87789fe5, 0x60da23b3, 0xfd160ca3, 0x6e7a2980,
+    0x44230e68, 0x24ffe0f3, 0xeabf27b8, 0xdca3a799, 0x4c7285c3, 0xa5755c14, 0x28e92e97, 0xf1b9122e,
+    0xfe9bc4d1, 0x0ff7aa34, 0xdaef512d, 0xf7a8fbc5, 0xe142e6b4, 0x5622978f, 0x935d73e0, 0x04498868,
+    0x76affc0e, 0x0325eaeb, 0x612907ea, 0x7fdffba5, 0x51e7e501, 0x5c38e5e7, 0x7ea5a15f, 0xfd46f7b1,
+    0xdccaa493, 0x51c3c29b, 0x01bbe20e, 0xcef09a39, 0x7333a2a9, 0x52b5a82b, 0xa9fd87ec, 0xd411c5b4,
+    0x797fbeb1, 0xe1865f64, 0x94934a94, 0xe2ec3459, 0xcfdcfa95, 0x0bb5fcb7, 0x4e1e440d, 0xc2607f42,
+    0x84131507, 0x667ba264, 0x1a251c7f, 0x5ce0adb2, 0x91c5d510, 0x8e0a4aaa, 0xbaff0f27, 0xa26c5af7,
+    0x8129d6ce, 0xe106306b, 0x4065fde1, 0xf8d598b5, 0xffc60d0d, 0x0714ee24, 0xf0b7520c, 0x67ef6cb9,
+    0x373ccdf0, 0x9804e531, 0x69572d20, 0xba08bed2, 0x4da4c00b, 0x52ab51fc, 0x85c8a341, 0xf9a3d622,
+    0x4d4783d4, 0x1f5cebd2, 0xed67de73, 0xd6ad4c02, 0x8cb23dc1, 0x9150854a, 0x6d4bd66e, 0x2997d403,
+    0xb9395358, 0x13bc2e07, 0xbac0b8af, 0xb487264a, 0xe92b4f51, 0xbf2bc3be, 0x8d23cc67, 0x511aabf8,
+    0x9f82cc2e, 0x12ee164a, 0x85665679, 0x629ded17, 0xae35b438, 0x70263d3e, 0x6603bb0d, 0xc59f7f8b,
+    0x32ab4778, 0xb8ec8144, 0xa9cf9aea, 0x4b391821, 0xebfba567, 0xbe135397, 0xa066ba92, 0xc1b24833,
+    0x802f8c4a, 0x107a1916, 0x1890230d, 0xc6c4a056, 0xb5a8b64c, 0xf9501953, 0xd3f108b6, 0xf77e8a78,
+    0x8adb923d, 0x10b6e145, 0x2915469e, 0xe8b1d6b3, 0x72a1def6, 0xb84184c1, 0x48b1dcbd, 0x9a5dd6dd,
+    0xe0a6ccb7, 0xf64cda9c, 0x20f05177, 0x88c492b1, 0xee80577c, 0xa8f4c469, 0x660c0cce, 0xd90fde36,
+    0x98254840, 0xb96a22fd, 0x3ad94bf5, 0x92d7fdc0, 0xd3c80efa, 0x09eb0508, 0x93c0e75c, 0x418a4d73,
+    0x83a69d1c, 0xe48c7613, 0x206a1c3b, 0xe23e6970, 0x79b6396a, 0x80a33514, 0xd1edcd31, 0xb983dc0a,
+    0x563b8fe4, 0x4bb91aae, 0xd7af8ea0, 0xf23c9742, 0x5b3ddd16, 0x847b2e0e, 0xc91764d0, 0x31be4cad,
+    0x89bee15a, 0xa23990f5, 0x8ab9d2cc, 0xf6957ed1, 0x90070fe3, 0xf446faf5, 0x9374f360, 0x8442354e,
+    0x88549605, 0xaa46457d, 0x2916be07, 0xd03f9d3d, 0x30862aa3, 0xa434406a, 0x3269e039, 0x52a96513,
+    0xac11e9c1, 0x7b014c82, 0xc4a34bdf, 0xf02f4660, 0xe7cee00d, 0xf155ad62, 0xfec59704, 0x7b37d97d,
+    0x3444de03, 0x7c0301d9, 0x3e3c9b50, 0xe6a476b1, 0x26554fb0, 0xbfedcb87, 0xc93db7e1, 0x20e917c1,
+    0xc4369fc6, 0xc014ea1a, 0xf20fd5df, 0xfe425691, 0xe6c8a215, 0x93f00666, 0x9e44afd8, 0xc71e594a,
+    0x0d7b8682, 0x5645f4e5, 0x67c90f83, 0xb5ac227f, 0x8291f285, 0xb2db84bf, 0xa28181c1, 0x173c8415,
+    0xad2d19c0, 0xc2867f30, 0xbaac554d, 0xa390a090, 0x00ed4926, 0x051fc7f4, 0x26d3827f, 0xbf66a676,
+    0x91e220e2, 0x2884b9f3, 0xd782fb05, 0x2b387f92, 0x4d996cf6, 0xc38ec368, 0x5876f938, 0x1a46a647,
+    0x5b974e53, 0xd2ae4695, 0xf3f19274, 0x6781797a, 0x499edf9b, 0x618d0d86, 0xe06bb430, 0x6a37819d,
+    0x7f33260a, 0x64434e32, 0xb30a7cb9, 0xcc623a6a, 0xe2fffe5a, 0x6c063e4d, 0xb40a6045, 0x109b7cfd,
+    0xa005ee88, 0xd53a87c2, 0x53abdc44, 0x4edf3fa2, 0x3deab2af, 0x085bc9d8, 0x30e537de, 0x386db101,
+    0x1caa9a85, 0xb254a086, 0x8524e36b, 0x31ed12bb, 0xfa5369db, 0xd1af234f, 0x8e50eb87, 0x2a68b119,
+    0xfc6039b1, 0xd7543fe2, 0xa028d088, 0xab20b31c, 0x29484a8d, 0x6144b458, 0xf566341e, 0x76bf99af,
+    0x1ab6ee37, 0xfb51ce1b, 0x9468f82e, 0xc9581a90, 0xbbb17709, 0x7863f3c3, 0x4788da4c, 0x2e1bd4a1,
+    0xdf772e67, 0xd4d28b2e, 0x51ca1db6, 0xa62a4d3e, 0x1165e154, 0x14f89117, 0x8ddf6fd6, 0x092faa3a,
+    0xe36c7f0b, 0x38f1f835, 0xb03b22bf, 0x09c2d715, 0x5dfa7fbe, 0xfe1412e6, 0xb785889e, 0x936b7d0a,
+    0x00b37a19, 0x7c4fe911, 0x642bdb8c, 0x3ed00b87, 0x478c012a, 0xb8eebd5c, 0xf3e620bb, 0x920c2109,
+    0xd6c3e954, 0x827cbc67, 0x4622a42a, 0xaa5a1696, 0x1f77b6f0, 0xba2faa4d, 0xc6c3b52f, 0xe52b6931,
+    0xc39d043d, 0x6ea0b513, 0x111a33ba, 0x3df6ae96, 0x96dd15da, 0xbc123c00, 0xa8329006, 0x9081ca68,
+    0x4c51ed14, 0xc8c26e5d, 0x52e8c573, 0x4540e4da, 0x3f4e0cb3, 0x85607626, 0xfe41ccbf, 0x41b34503,
+    0x1f64c1db, 0xabb6db46, 0x6ea9d0ae, 0x2bb3d158, 0x18becaa9, 0x75336d9d, 0x1d3ad08e, 0x6dfc2851,
+    0x0e0fa83d, 0x8d7090d9, 0x4b95ffb6, 0xd4c8329e, 0xad93f1b5, 0x2dce3a0e, 0x87511352, 0x46988c22,
+    0xc8c61809, 0xbbd7a589, 0x4aa1c380, 0x5bd85031, 0x196d3782, 0xbf7619e3, 0x56ce6f29, 0x23bb0df4,
+    0x48ccf18d, 0xc664a2ee, 0x8ea6e069, 0x36c30ae7, 0x86da8507, 0xb89bda60, 0xd79866c5, 0xa84636ce,
+    0xc01f287b, 0x19d1d9df, 0xb80590bb, 0x07ef4213, 0x419b225d, 0xc458636c, 0x77dbfbf2, 0x86c520a1,
+    0x01d6e424, 0x67b56fb3, 0xe8469f54, 0x92d07f61, 0x0d16e2a0, 0x0e09106e, 0x0e96795d, 0x0daf37e0,
+    0xedb196ce, 0x08cc8d2c, 0x56a3cf9c, 0x05146fab, 0x9c83b090, 0x467b9e6d, 0xe7eac53c, 0x6ca4a5f0,
+    0xead78b78, 0xb1b44299, 0x0d40236c, 0x8eb1d8f7, 0x8dbe64b0, 0xb2445841, 0x1959d25f, 0x0adb8c4f,
+    0xe0a93508, 0x895e0fec, 0x502fac92, 0xd571024b, 0x2665e40c, 0x907ea10e, 0x4f9295f9, 0x79b86f01,
+    0x8516329d, 0x1a1dee4f, 0xb979d111, 0xcd745048, 0x3eee4425, 0x2494293e, 0x61c7193d, 0x1730ca8f,
+    0xcba49a3c, 0x52c62eb5, 0xafe787e0, 0x6813165f, 0x17312f11, 0x04520d97, 0x7563e570, 0x41066064,
+    0x086418ef, 0xfe103df5, 0x26c036fa, 0x92cfe515, 0x522ffea8, 0xd696fb47, 0x14a937b7, 0x7af3e082,
+    0xbcb23a57, 0x5f2b3f33, 0xe5fc839a, 0x6a1e241b, 0x29f2b538, 0xab52eb46, 0xbf7e2fd4, 0x49d4fa48,
+    0x9bc517c2, 0x322a921b, 0x0fb3b895, 0x8c598aa0, 0x77a20cb9, 0x8a9e051e, 0x4b4d54a3, 0xca12d0f6,
+    0xefdda4c5, 0x842456a1, 0x284b14f7, 0x868190f3, 0x00423c5b, 0xdcded4ff, 0x3d6e2b5b, 0xf1ce4fc0,
+    0x6a3f010a, 0x04cf9fae, 0x29141b3a, 0x62729c11, 0x33a4b687, 0x7d584ff3, 0x3c639351, 0xf1a26855,
+    0x93b85ceb, 0x4a63244c, 0x8b78b51f, 0xca831121, 0xeb1c1586, 0xe79398a5, 0xc2edd675, 0x7435173c,
+    0x97b7c9ec, 0xb5293a20, 0x14e46df1, 0xbc35cc68, 0x6ff0e9f5, 0x62d69a0d, 0xf173504d, 0xc0e19234,
+    0x4224559d, 0x5c4d6e13, 0xc55408a7, 0xd0bf9405, 0x1d884846, 0xc6b47864, 0x846d1ee5, 0xaedfc92b,
+    0x30e9d99e, 0x49c17213, 0xacb21f0d, 0xe73b3914, 0x219bca87, 0x9a0cd7b8, 0x5ef4aa5f, 0xee0ca2d0,
+    0xae9b91a3, 0x92dd7970, 0xec522e85, 0x96638a98, 0x12ecf1d7, 0xc2282724, 0x3e430df4, 0x32e631be,
+    0x42febe09, 0xee24a1e3, 0xab04edef, 0x0d89b0a0, 0x54c13115, 0xeb8c88db, 0x6b10de8b, 0x2505a4af,
+    0x8663fd1c, 0x5d38a0da, 0x6cd776e4, 0x776edf7c, 0x3733fb0d, 0x870ed2aa, 0xdf2c2353, 0x6e4d6a9e,
+    0xb86c662c, 0x87374371, 0xe29cd597, 0xe852253e, 0x2ca768a6, 0x4f7f82be, 0xdadfaa11, 0x9049ffa1,
+    0x06915533, 0xdbfddbf3, 0x36ab1ae7, 0xaf3dc986, 0x910e7669, 0x00d11248, 0xc84abea6, 0x8342db5d,
+    0x1f008cfc, 0xcb38681f, 0xe1d49ea9, 0xaae2318d, 0x9f92072f, 0xeefeef2f, 0x1a1bcc14, 0x6b992c59,
+    0x449af189, 0xac124be5, 0x36760b1c, 0xef359a02, 0xde07785e, 0xb0d5e5bd, 0x166f8479, 0x6e1caa47,
+    0xda9b18c8, 0xd7f7bb9f, 0x666fcd1e, 0xd8b709e4, 0xcb9a3765, 0x63cd5f87, 0xb4600aeb, 0xa805e770,
+    0x90595a7d, 0x84521ccd, 0x38285105, 0x59b250c8, 0x9af17271, 0x0497d231, 0xebbf03bc, 0xa13915e7,
+    0xafebe78c, 0x2b52f734, 0x2895a60d, 0x1c17c16f, 0x16587d2d, 0x68b6ed0c, 0x52470ec3, 0xd280f4a0,
+    0x4d62cd56, 0xa134ce09, 0x7fd563aa, 0xbd271877, 0x641e4337, 0x30c05b32, 0xb44f92ac, 0xe55aa317,
+    0xf16d3ceb, 0xbca27e16, 0x56669bed, 0x126d15bc, 0x8b0ec5fc, 0xbdf5cb65, 0xd57f2915, 0x090e1ace,
+    0xcece507e, 0xc86c646f, 0x527ff5c6, 0x41fc78f1, 0xd0408d25, 0x975c71d0, 0x7891cac3, 0x79835989,
+    0xbd7486b7, 0xdedb1e44, 0x4127d145, 0x690cf0fe, 0xeb3a38d4, 0x45fc0641, 0xb8f056ca, 0x8b79612a,
+    0x96f6f598, 0x19c578e6, 0x251e225f, 0x0b7b4594, 0x3df98e71, 0xc055e88e, 0x5ea3d5dc, 0xed909451,
+    0x516f8168, 0x47bbc7d4, 0x1f390d13, 0xc3c84ff1, 0x2b2f2222, 0xfc508db8, 0x9bc104ff, 0x65836672,
+    0x7177b65e, 0xac17cda8, 0x2cbcb004, 0xe6135724, 0x7c4e872a, 0x0aeade03, 0x72431c4b, 0xa4e4d959,
+    0xbc9db145, 0x0ffe8a51, 0x204ffc21, 0xc85e7c59, 0x4166cca8, 0x1dc08a9c, 0x41a85d52, 0x5fd69021,
+    0x0114b9ac, 0x90569449, 0x9b9c7480, 0x5b9caee0, 0x088d6027, 0xcf1385de, 0x2f5cf9d6, 0xe5764152,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000009946464728\
+                         19573284310764496293641680200912301594695434880927953786318994025066751066112 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f,
+    0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab202, 0x0b9e1674, 0x19943f79,
+    0x00000000,
+    0xb0d1c596, 0x54f7e38e, 0x52ebe92c, 0xfe5d9bed, 0x344de978, 0xcb9eaaf4, 0xc8c307c1, 0xd6c0ada6,
+    0xe43b4b9c, 0x9e0b84ad, 0x726829f1, 0x0edbfcce, 0x59f5ad28, 0xa71f9fe1, 0xe214225c, 0x47e1b4a6,
+    0x82e34c5d, 0x6dcb5358, 0x56d237f5, 0x548ba9d3, 0xa4f0397a, 0xd48fc2c6, 0xee49b8e8, 0x72f19e32,
+    0x34ee7780, 0x75ad6ed7, 0x20758b75, 0x36a6d264, 0xd57e92ef, 0x037ebce6, 0x2d8b26ea, 0x76941efb,
+    0xf8113fea, 0x613a1a13, 0x178a59c0, 0x20fb0743, 0x8c32dbdd, 0xd22c839d, 0x46ad2dbd, 0xefed552a,
+    0x22497dfd, 0x82a4d27e, 0xd5ecd4aa, 0x7f2b07e3, 0xa2eda28c, 0x622a081f, 0xcd3a0de1, 0x41d05b74,
+    0x502b9177, 0x18d57bf6, 0x25847b90, 0xc2ab37ac, 0xe1ad108b, 0x0698f264, 0x9f3fd9ac, 0x7fcfe37a,
+    0x48ae6b04, 0x559af006, 0xb321eadd, 0x73221521, 0x03a10908, 0x0fdfb804, 0xd708c783, 0x8e8a8d0d,
+    0xab77352d, 0x39a4a77a, 0x20a96426, 0x48de30a2, 0x9c0a2c6d, 0x4d688043, 0xf110c509, 0xc687ec24,
+    0xcde51619, 0x238248f9, 0xf108cd32, 0xbb57c31f, 0xfeb9ab20, 0xe485a68c, 0x413182d6, 0x5aef4b54,
+    0xdd48a97c, 0xeb3e64b3, 0x98c44f66, 0xe5744578, 0x08faaf37, 0xad6b98d8, 0x6814b999, 0x644d90b3,
+    0x04719e92, 0xace994ae, 0xaef12685, 0x9d3c3947, 0x00d30ceb, 0xc64e77df, 0x8cb34ade, 0xec0e3bd9,
+    0x5abf7e27, 0x6332d86e, 0x8cf578fb, 0xfbe42d03, 0x171f724c, 0x04fad975, 0xc2497c70, 0xe740c770,
+    0x1f427ded, 0x62a43f47, 0x8b988e1c, 0x060aa679, 0x00d0b0fa, 0xa46b424c, 0xa4e7ca92, 0x8b2b3e12,
+    0xc20cd34c, 0xe6d6b180, 0x43b4a9ce, 0x99250f11, 0xce3dea4d, 0x553c0a88, 0xa8d3c399, 0xeb606af4,
+    0xf2ca7c95, 0xedd54699, 0x167fed62, 0x91dc67b9, 0xfe5f58a4, 0xcb3ad3b3, 0xfb722da5, 0xa75747dd,
+    0x7c69f239, 0xabed7f4c, 0xdb822c46, 0xeccc2693, 0x527a36b0, 0xd088a2cc, 0x720b9be4, 0x9b0ea054,
+    0xeb0d2383, 0xd90d2ff4, 0x91b44e3e, 0xbdbb19bb, 0x613e76fb, 0x2ee68a59, 0x8a314ac7, 0x780aa64a,
+    0x7e75d053, 0x7c4bbbfd, 0xe241712b, 0x3d600746, 0x8f447534, 0x46a97b6d, 0x9954332c, 0x83a8270d,
+    0xbca4fbf8, 0x90035e2a, 0x425b05b3, 0x36622ea8, 0x1c854ff9, 0x322047e2, 0x8bfcbce8, 0x1b2abef4,
+    0x3f63ac12, 0x9266cb8e, 0x65c02647, 0x7e988041, 0x81f05970, 0xe69b002f, 0x0a3c7add, 0x3cfb6639,
+    0x635be57a, 0x7058cebb, 0x9f8e0c7f, 0x09c0016d, 0x4416f2f2, 0x911474d9, 0x902c3a13, 0x34368c6d,
+    0x7b78a510, 0x44c71981, 0xd26d4058, 0x92b73ac2, 0xeb664267, 0x123330c7, 0x15130b6f, 0x41551f3e,
+    0xf271068a, 0x1cdfb2ff, 0x32be432b, 0xdeb05f36, 0x179fc415, 0xc8b1d418, 0x770a171b, 0x4c38e278,
+    0xc02f687f, 0x49eb44d2, 0xd9d13e02, 0x49c04b3a, 0x43d0ab74, 0x9971583d, 0x4ad7d6c0, 0x9dd1da2c,
+    0xa6b2ac5f, 0x5f2be8f4, 0xaad3bd4b, 0xdc619ba8, 0x830bc641, 0x3ec2a95d, 0x5d437a69, 0xee81f2dc,
+    0x66b227e6, 0xcc46e380, 0x863a606d, 0x9b3de946, 0x9057a415, 0xea001b48, 0xff91d1e5, 0x669e0be4,
+    0x8301d2d7, 0xee2914b0, 0x1ce0cce5, 0x29cfb798, 0x47a36779, 0x4ebf863b, 0x6734136f, 0xc8a9a9ee,
+    0xca33422d, 0xaba7ce73, 0x6c15a496, 0x8f7b8b7f, 0xb41a9d35, 0x18d2e0e8, 0xaa360614, 0x3a58805a,
+    0xf202670b, 0xf4644b04, 0x297a8474, 0xf80c520e, 0x1aab8929, 0xd42d0e3b, 0x816b26fb, 0x2d5f6cd2,
+    0x59dac476, 0xb3a4a1c3, 0xc7469444, 0xdb385011, 0x5a6d872e, 0xb2f8ea72, 0xe924bb6a, 0x30d59b25,
+    0x7e9822b7, 0xb006ac0e, 0xa8881a72, 0x6a181836, 0x3d2253fd, 0x959697fb, 0x93d628f4, 0x57959855,
+    0x0e8343f8, 0xc09684d6, 0xf0c02bab, 0xd44811f3, 0x5d1086fc, 0xda95ebbb, 0xe555edaa, 0x6b540155,
+    0x8a862eff, 0xc7375140, 0xb02948e3, 0xdc79a7a8, 0x0df3f756, 0x65bc4bed, 0xbec745d5, 0x24505887,
+    0xfd385da4, 0x90104a0c, 0xc9f7513a, 0x61aa0636, 0x328a8c0a, 0x9b8df1dc, 0x5c014258, 0x1aa3e0c3,
+    0xb172d893, 0xee4f11a8, 0x7de5ae08, 0x40cb5c70, 0xd7a9bec0, 0x58521ecb, 0x706acb25, 0x25afef6c,
+    0x023c137e, 0x83494676, 0x05c77ad2, 0x7f42a319, 0xcbd40e28, 0x22ecedf1, 0xf8d0a1f6, 0x94d6c5ca,
+    0x4d7b96a4, 0x4aead1ac, 0x0d9e8747, 0xc37a9e6e, 0x52a280bd, 0xa915c59f, 0xef7b0f51, 0xc6398cf9,
+    0xaa0083ba, 0xcf419471, 0xf45c9e65, 0xc1d49f67, 0x7c2160dc, 0x30385784, 0x97209e2f, 0x3a974886,
+    0xa7323e5a, 0xd97f538f, 0xeb23e2ee, 0x1ef42e4c, 0x825720a6, 0xbfc14bdb, 0xf807ab59, 0x8c20a506,
+    0x09657422, 0xc9231d16, 0xebb53d2e, 0x519aa725, 0xb64753c2, 0xdc57aa12, 0x8d2b1171, 0xc9a44aa2,
+    0xf0b184eb, 0x7812fb68, 0x47f408a8, 0x22b28b5b, 0x277a1f8c, 0xd02ef566, 0x86f3b670, 0x498d9af0,
+    0xe6be18d1, 0xddd6e352, 0x3629410e, 0xabc9ec88, 0x0a8e0c1f, 0x13ebe0af, 0xb6e6d544, 0x8265d5bc,
+    0x2290cbf4, 0xcf8bcc15, 0x4834b746, 0x024e7e23, 0x80534dec, 0xdf99b9d5, 0xda370694, 0x20591e90,
+    0x0f5cc1c5, 0x41ae814f, 0x6204e9fc, 0xe92d2a6b, 0xddcc757b, 0x8a24f7e2, 0xd800a4dd, 0x886eec9d,
+    0xff530a2f, 0x0d850461, 0x746b5208, 0x2b4017ce, 0xf6fbf90a, 0x77842946, 0x5852884e, 0x3a29e790,
+    0xd660e4a7, 0x8e9814e9, 0x6369ee25, 0xb2801265, 0xd9e8e4f6, 0xd91af0be, 0x7fb41c1c, 0xe6d72f9f,
+    0x0132f6b5, 0xe103db35, 0xc63be766, 0xc2afcdbe, 0x30c165c7, 0xe4fa139c, 0xa4f42c08, 0x1da721c0,
+    0x639ef3dc, 0x783e3420, 0x09dc4199, 0x774463fc, 0x9733051c, 0x75c1ed6d, 0x5ba27b28, 0x0f05fc8a,
+    0x6922a6e3, 0x5d311cfb, 0x925c154d, 0x816e7165, 0x02d5b121, 0x63a6e54f, 0x6f519bd0, 0x7f02c098,
+    0x6a5b19f4, 0x8ad7045b, 0xb04112be, 0x709d3db7, 0x400598ac, 0xc4f3368a, 0x8161ea95, 0xe8bb9c0a,
+    0x34bd2e40, 0xd4b12420, 0x819a6942, 0x1478c96d, 0x48e7b464, 0xe86743ff, 0x6ccdf353, 0xd873ad07,
+    0xc6e2029f, 0x5d437ff7, 0x7307839e, 0xd591bb00, 0x664a646e, 0x4ea7c121, 0x71917557, 0x1167a340,
+    0x091a7903, 0x0abb0628, 0x784144cb, 0x916e1f67, 0xb06af53f, 0x51bd3b51, 0x55abca2c, 0x909ad0b5,
+    0xc323901b, 0x6a4b034d, 0xba8c44a8, 0xdc885b4f, 0xd66ec9ec, 0xfe4b55c7, 0x29ab8ed1, 0x87f17c94,
+    0x2a8efb91, 0x9a233ed1, 0x073288a8, 0x08ef1efd, 0x712c29cc, 0xa5efa7a3, 0x877c8834, 0x7c94e0e9,
+    0x9746d2ab, 0x681a700d, 0x4477f12e, 0xd55c49b6, 0x25b364cb, 0x58a540a9, 0x6ddb8953, 0xdbddddc5,
+    0x0a8af0c7, 0x8a70d1ff, 0x3f989acd, 0x70874f15, 0x50f5c69b, 0xd4c12cab, 0x4ba88143, 0x199d32a5,
+    0xf1364c08, 0x303c8b5d, 0x3ecbe2f0, 0xd5fee4ea, 0xe82b9eb0, 0xbe508488, 0x5eb91fb7, 0xe70931fd,
+    0x782486c8, 0xffa4bd6b, 0xf386373a, 0x9b22acb0, 0x8fdf747d, 0xe77148f3, 0x97c6d699, 0xe2e98b0a,
+    0x9d5b54e7, 0x709fa10b, 0xc64a2987, 0x34c7f676, 0x700664bf, 0xb36ee8e7, 0xaf98f129, 0x989345de,
+    0x129ad3b9, 0x04f7a291, 0x5d572524, 0x008038cf, 0xa41c0055, 0x43c9679b, 0x4b93ac9c, 0x19d116b0,
+    0xd0e2e8b6, 0xa531a6b8, 0xfa843dc9, 0x8a8da2e5, 0x2d68dbe6, 0x056b2903, 0x0ad8f0d3, 0x49f7a9e5,
+    0x8140d730, 0xa29b8830, 0x8382077e, 0xc219d6c8, 0xc2ec423d, 0xa1046449, 0x926eb6e8, 0xb1f517ab,
+    0x0bda631e, 0x9ea8e934, 0xbec2a61a, 0x46c53b18, 0xbd78a113, 0xec036a43, 0xef4e3774, 0xbec2d865,
+    0xfc6134e5, 0x7fd315e4, 0x19711cbf, 0x7a397ea7, 0x6d3c679a, 0x75d881d5, 0x44676317, 0x362e1def,
+    0xa054cd6e, 0xe6ee55c5, 0x6cc3eb47, 0x72bc8361, 0xfec8d1f5, 0xdce3d50d, 0xabfd193c, 0x0f9b814e,
+    0x9245a2ca, 0x1d27a5a0, 0xf4c4fc07, 0x642a7016, 0x0db91d5a, 0x395e3394, 0x1a28a8b0, 0x9533b529,
+    0xc74e4573, 0xd8bc35e7, 0xafb687a5, 0xa4e02c66, 0x468145d3, 0x9217a1e4, 0xa7d89096, 0xb4307ec1,
+    0x1893fdbc, 0xe2a06ef3, 0xc0406874, 0x50d9abb7, 0x335c976d, 0x39d5e79c, 0x523eb4c0, 0x0c7034a4,
+    0xc2737094, 0x3be13459, 0xe35af43d, 0xc478f91f, 0xcb647865, 0xf6f21e85, 0x15fda3ac, 0x21be3483,
+    0xdb39db21, 0xe00fb30b, 0x23812d13, 0xeab45771, 0x16739376, 0x52e368c4, 0x6546af59, 0xb27ebae1,
+    0xaea63927, 0x3a1cac78, 0xfcbff63c, 0xa617c029, 0xbc48be7c, 0x227cec6e, 0xd42bf29a, 0x35907918,
+    0x9acfc1cd, 0x183fe9b6, 0x70612d18, 0x884de1cb, 0x77dd5ca3, 0xfa3d2ac0, 0x49b75c73, 0x1dbbfa20,
+    0x7585c497, 0x8da701cc, 0x625b2688, 0xc333481d, 0xe27453fe, 0xf55830d9, 0x4ccd146e, 0xf5e323fc,
+    0x6ebceb02, 0x340af370, 0x8483fb80, 0x489a11e8, 0xd992daf4, 0xaa93a56d, 0x93910e2c, 0xd447eb96,
+    0x9d1e7999, 0xfb8dfe32, 0x9b396d47, 0xa10d83c4, 0xf4f010c2, 0xee4908f3, 0x249fc2e0, 0xa7ccf55a,
+    0xb2c7ef2e, 0x79655b8a, 0x415d2e82, 0x4498d14e, 0x35c76ce3, 0x114e4d25, 0xb489af9b, 0xcf7537c5,
+    0x57e14a32, 0x537d8911, 0x1c249507, 0x4bbc0d95, 0x0e1d64c4, 0x793e20f8, 0xea615f25, 0x0c8d372f,
+    0xf55321b6, 0x37b02f58, 0x5d33f086, 0x7d997689, 0xd4080eeb, 0x3eca3c04, 0x2b5e32e5, 0x89926b59,
+    0x19ed02f8, 0x4cfc9052, 0xac9b00e1, 0xe016bd5b, 0x2a34f690, 0xdd558e2c, 0xf5411e61, 0x01e4d4dc,
+    0x9152b8e2, 0x53b5b1f7, 0xbb2f27c7, 0x361f8f4e, 0x4fa8f934, 0x661dee42, 0x053ccfc2, 0x8c87c018,
+    0x8bcd794d, 0x962a2056, 0xd30fa8f5, 0x55422d00, 0x7a91dc0a, 0xc528a10f, 0xd65a49d5, 0x6f7ad7f2,
+    0xe8d8f66b, 0xf0c72360, 0x793da1fe, 0x486f1f1b, 0xb3ec1122, 0x6c3ab8c3, 0xe5950b9f, 0x4ba65ee3,
+    0xafb4fd02, 0xfcd81918, 0xc03152e4, 0x3903c162, 0x7f090cea, 0xb72cf4b9, 0xc2f43674, 0x93e7ceae,
+    0x50f7d897, 0xd0a1a64e, 0x8b98dcde, 0xc9166cb5, 0x3a718f57, 0x73b42f17, 0xd9087010, 0x435c914f,
+    0x5ed81c6a, 0xbf846364, 0xaba8e435, 0x63a07b3e, 0x7a80d9aa, 0xf3297b7f, 0x5280e601, 0x83793706,
+    0xe01a7210, 0x63de0f63, 0x1fbe2021, 0x2b96b8af, 0xca63dbf6, 0x02c3faeb, 0xd99addee, 0xf568bb4c,
+    0x37204a34, 0xeea28da0, 0xaa43beab, 0x0e459020, 0xf4501f00, 0x057bdbb6, 0x1bbde3ab, 0xdb41b1d6,
+    0x250d9668, 0x5aa33d30, 0xf4dc4812, 0x80efe121, 0x93627615, 0xccd675f4, 0x2bb9bfd8, 0x91013814,
+    0x3374b102, 0xac0b5484, 0xb940e431, 0x0c96955f, 0x3c8aea90, 0x6bf58a07, 0x9a6f0aa0, 0x0eed48b5,
+    0x3888863c, 0x74492a7a, 0xadedecbf, 0x28174815, 0x16907161, 0xa35c3d8d, 0xcdc80037, 0x8eb184ed,
+    0x86ac7456, 0x1e96ab37, 0xf16c0fb9, 0xf4fd9049, 0xe0e73a61, 0xfdbf5a7a, 0xcfa19730, 0x14a7d0b5,
+    0x6a2e468d, 0x1d6f9bbe, 0xab4a9ee7, 0xe05775d9, 0x81c343d0, 0x4293916d, 0xd1175e0c, 0x16bdd3f1,
+    0x32324e56, 0xd8c34c18, 0x329d4403, 0xf8964351, 0x3e4cbe6c, 0xa9f1dc40, 0x9d456f27, 0xea3eb203,
+    0xa963d617, 0xf8c84d02, 0xe22fca4a, 0x3387e5b5, 0xce096faf, 0xc1ede639, 0xb8c35ab9, 0x2e878d90,
+    0x1fcf16de, 0x5aeb747b, 0x983a1e82, 0xa88b1416, 0xa664cda7, 0x24c7adea, 0x21e5098d, 0xe06fd394,
+    0xff4bf664, 0xfea23086, 0x0f89966b, 0x06667dd6, 0x39af3666, 0xa06a7b21, 0xded1d43d, 0x3f3f30b5,
+    0x0714c5c7, 0xde342a33, 0xf94118a4, 0x12232988, 0x6795aaa4, 0x1afc47f4, 0xb21269d0, 0x1be4e793,
+    0x060026b0, 0x7d3a9c32, 0xb8ffe837, 0xb15e9015, 0x5f710d24, 0xabb9c889, 0x36fb1235, 0x468ec9e5,
+    0x798c7941, 0x217bc61d, 0x606958c9, 0x0b86a454, 0x872a758e, 0x317e5093, 0xb56a59fc, 0x48b07731,
+    0xa667a0b3, 0x2de1ca88, 0x80838b7c, 0x5c6bbdba, 0x31c96ab6, 0x6f463311, 0x44ac9eb4, 0x51b21c59,
+    0xd79d4fff, 0x9af8cd7a, 0xf24c1681, 0xb2780c6b, 0x58acdba8, 0x5d85566b, 0xc82f7161, 0x3b2f2383,
+    0x3145ecf2, 0xe45e6bfe, 0x45a81a8e, 0xa5f29734, 0x796302a5, 0xe210cfb8, 0xbf3f1335, 0x25852cb5,
+    0x3c87741a, 0x25f3b225, 0x2e440c38, 0x93394737, 0xf4c38503, 0x093c081b, 0x994b7492, 0x98ba6b72,
+    0x69fdda76, 0x2eed99e0, 0x571fd093, 0x95339e2e, 0xa3d026a6, 0x66bbf042, 0x2f8b13e7, 0xa22ac24e,
+    0x6fe7bc9d, 0x4ea42af0, 0x68ce8358, 0xea4dee54, 0x36f6a059, 0x817d9b23, 0x71cc9353, 0x12247d34,
+    0x642ee893, 0x85738f03, 0x9b70fdf8, 0x04f3ca31, 0x89fcf4e8, 0xd271bfb4, 0x0eb264de, 0xd87cb05f,
+    0xe6a45094, 0xca682bbb, 0xfe286492, 0x62549bf8, 0xa7fd1db6, 0x28a85860, 0x228ed4f7, 0x55253ac8,
+    0x100cfc6d, 0x2acf6658, 0xedf5de86, 0x6b584287, 0x5abbf9cb, 0x90a58ab8, 0xb0eb8bbe, 0x166baa42,
+    0x6ac939ac, 0x01f98079, 0xa13b036a, 0xedb38b3b, 0x20f91dd8, 0xc3212415, 0x02178caa, 0x4cfe344a,
+    0x684bb681, 0x86c6ed6b, 0xc68c6223, 0xe620d126, 0x5d65a775, 0x7fede1f7, 0xd1662aa2, 0xa5c36dff,
+    0x98bc49e4, 0x9cf42105, 0x30da3e97, 0x7cbc2f0d, 0x7f6fb914, 0xcf8bccd5, 0x20705e03, 0x2a7aa4f3,
+    0x858070f0, 0x7c4eb64c, 0x58d5c699, 0xee1f7008, 0x3a8bed27, 0x1e74186d, 0x9b80cf67, 0x18292557,
+    0x49b6b75c, 0x304f7cfc, 0x39ff0756, 0xcf20d479, 0xadfde502, 0x1b3f283d, 0xeded7678, 0x11c81f14,
+    0x5ebd07c8, 0xf0d0cdd1, 0x33dbdcb8, 0x1562b774, 0x16a9727e, 0xfb0eabab, 0x197f32b7, 0x403e092c,
+    0x07a83cd9, 0xbdf141a0, 0xb0c171cf, 0x6c56751e, 0x007b61fc, 0x07f5acc3, 0x82e7a1ce, 0xf1874c85,
+    0x5d947ba8, 0x696b867a, 0x2e194d0e, 0xc65914df, 0xc788cfe0, 0xc02d61ec, 0x560a4a51, 0x69a9a01a,
+    0x515670ca, 0x6ea01336, 0x75d07631, 0xfd4985a7, 0xad15907f, 0x54e7a9b2, 0xeba17491, 0xae55176d,
+    0x31cfda11, 0x95548afc, 0xe953e19b, 0xdb151ddc, 0x34a8aaf7, 0x1e1d8679, 0x37c137ce, 0xde661951,
+    0x4d9b71dd, 0xf452116b, 0x0b69268b, 0x02abc1bc, 0x4ddff3c1, 0x0ba984c3, 0x4bfbffa7, 0xa5afcce7,
+    0x73cc0b10, 0x4af4e1f4, 0xcb58b148, 0xae4bd25a, 0xee75dfc5, 0x6cf249f0, 0xa3c5a6c2, 0xe369a913,
+    0xbba40931, 0xa7e91338, 0x15ee28b9, 0x6ba41a0e, 0x88fb9651, 0x1044e024, 0x3b75ce34, 0x43bf1a47,
+    0xea2b1b95, 0xaebe654b, 0xc08ee4c1, 0x22063021, 0x3ce6ced7, 0xf95d77b9, 0x55702e1f, 0x75821d30,
+    0xb405e6a9, 0x12905930, 0x758fdd5b, 0x3db0486a, 0x79fb99f6, 0x018f35c4, 0x43919d00, 0x8364259b,
+    0x62b224de, 0x7882ba5c, 0xf7d9c1b0, 0xd536a4fd, 0x65c7ae9d, 0xb32bc937, 0x65204b65, 0x2d9a28ef,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000004973232364\
+                         09786642155382248146820840100456150797347717440463976893159497012533375533056 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097,
+    0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5901, 0x05cf0b3a, 0x0cca1fbc,
+    0x00000000,
+    0x96713aa2, 0x6ea410d8, 0x847436e3, 0x0fb95a86, 0x00435dae, 0x1f3deee1, 0x554323ff, 0xad7bbdc7,
+    0xf265d80d, 0x3fc7d81c, 0xb7321166, 0x624ee0e8, 0xbb8f5cff, 0x88fb5695, 0x2c9aab81, 0xa1547bcc,
+    0x6af868fe, 0x7feba6ba, 0x741dc103, 0x1a724f87, 0xc7b0bb48, 0xcc6a0363, 0xeaaa9691, 0x0fff55fa,
+    0xa00783e6, 0x4f231ba7, 0xa4acbd0a, 0xe8b67dc5, 0xf5f027c2, 0x5a0f1c12, 0x504f4c8c, 0xa1b36945,
+    0xbbb35043, 0x54b6a49f, 0xa628ac7b, 0x3c30fd9a, 0x2588eca1, 0xdfcb95c6, 0x5fed3e9a, 0x572cc128,
+    0x689ec30b, 0x6db94467, 0xa2d1f4c8, 0xc0edb7fc, 0xb9b7b5b6, 0xfcf9111c, 0xf98b5c5d, 0xf0c0aa79,
+    0xfbdff88c, 0x1c1ae277, 0x07abab92, 0xbca3f754, 0x5ded585a, 0x318c7c03, 0x329bc058, 0xa11381c0,
+    0x22f792a6, 0x49c3f94f, 0xd46a904e, 0x4bdf1b0f, 0xa71c68c9, 0x8362b450, 0x941543aa, 0x0a43c293,
+    0x653001bd, 0xc14f7750, 0xfadcb907, 0x5ac48455, 0xd6d5c4f6, 0xd2a456c3, 0x1304eb75, 0x51e6af0f,
+    0xf9262851, 0x2492ca0c, 0x2a915656, 0xccef8ecd, 0xf39bfbdf, 0xb89966c4, 0x141920eb, 0xf32ad6f0,
+    0x0d16139b, 0x546cc73e, 0x84dddd8e, 0x5f8b0dbe, 0x27bbedaf, 0x91d22f45, 0xb755cca8, 0x383cf252,
+    0x419197cd, 0x429f4465, 0xcbd1f3cc, 0xfcf893ed, 0x79331348, 0x86301a0d, 0x11c7b76f, 0xf56b919c,
+    0x69ab8766, 0xfd5a2176, 0xa2af0226, 0x6341fb89, 0xa44d3e27, 0xc8e14b12, 0xddff058b, 0x6ad8a879,
+    0x810a83dd, 0xe025cbf8, 0x1abfdeda, 0xad4dbb91, 0x4ceb9cc0, 0xa4523132, 0xb79d5aab, 0xdccaf5a9,
+    0xfe1c9765, 0x7afd9772, 0x07418ccd, 0x25e992a9, 0xde8346c8, 0xfa100319, 0x7390f645, 0x805c1e81,
+    0x9a4cfa3e, 0x4f3b84e1, 0x02e460f0, 0xad5016c6, 0x7e80f1c8, 0x79fe7966, 0x1d792aae, 0x863b3b63,
+    0x9e3d343e, 0xd0e9eda8, 0x7da82dad, 0xb6baa77f, 0x3822eeb3, 0x98cc2370, 0x724d148b, 0xb94893f0,
+    0x729fb1c5, 0xd930264b, 0x70b7f78c, 0x479fae91, 0x464d4cc1, 0x869f7eff, 0xa78b1b1c, 0x3190b6d9,
+    0x45ce1601, 0x520cdf5a, 0x9ea18d01, 0x5f02eff5, 0x1320c114, 0x6f411f90, 0x2fb951de, 0xc7adad42,
+    0x6874650c, 0xd3db92b2, 0xc89900e7, 0x9f4a1cf5, 0xe9909555, 0x4b9b7413, 0xacc82003, 0x5a2ff82e,
+    0x35d80f4e, 0x51f31c27, 0xed1948dc, 0x48bae117, 0xf6f91f87, 0xe514bfa6, 0x4c6d1cac, 0xc8e0a6ae,
+    0x307a7651, 0xd8a55a00, 0xf7c605d2, 0xa3d822f6, 0x2e0329fa, 0xd77b58b6, 0x6c975728, 0x8606b91f,
+    0x48cd12ec, 0x6a8f929e, 0x62daf908, 0xdd664272, 0x5383ff90, 0x88c42bf4, 0x86adf590, 0xd00287a5,
+    0x20e3bf4f, 0xbacd3ffa, 0xf6c645fc, 0xa7b67818, 0xe03fbda1, 0xa336a21a, 0xd96604be, 0x3493b615,
+    0x9d298d33, 0x720d3223, 0x38879975, 0x53aba2dc, 0xbc88e080, 0x998e61b3, 0x594ad94f, 0x3402668a,
+    0x9087b946, 0x94bea159, 0x382f9bb5, 0x0e5a023f, 0xe304aab8, 0x76df3b40, 0x2df5fff4, 0x31dd4a25,
+    0x7606a27f, 0xb3559e2f, 0x472bf33a, 0x24462106, 0x3bccd00f, 0x9f6607f8, 0x9bf4e977, 0x8eeff3f6,
+    0x55d78dce, 0xcd8840d7, 0x15ec7aeb, 0x58f83687, 0x68225e7e, 0x26d648f2, 0x69e5c801, 0x7525f4b6,
+    0x50cb1c85, 0xb97590e3, 0xa7a2f6c2, 0x928b6c85, 0x017b9bfe, 0xc25994f4, 0x21826510, 0x532b946e,
+    0x89c139f0, 0x29c87748, 0x21880c9a, 0x93e9610d, 0x13753142, 0x81dff395, 0xd3cfed1f, 0xf9afc2ad,
+    0x5b18eecd, 0xdf90e655, 0xc38e4108, 0xd73a894c, 0x837b5831, 0x287aa4ad, 0x0a803472, 0x532c023c,
+    0x55c2b6dd, 0xa16e976b, 0x19b18f20, 0x68ff1da8, 0x549264cd, 0x80d8237b, 0x0c65d99b, 0x2097aef8,
+    0xc67e5169, 0x0fe67a3b, 0x1464ff95, 0x981f2580, 0x74e4b498, 0x0ae5d41b, 0xd9c773ef, 0x2623b7cf,
+    0x166b917f, 0xcbb321a4, 0xf0158fcc, 0xd848d84f, 0x28a7b4c8, 0xf280081c, 0x738d327e, 0xfe758745,
+    0xad0003c2, 0x4d56192e, 0x9de87bb6, 0x7bba752d, 0xa3f12e0e, 0xefad7729, 0x28e283fc, 0x4b1dbf90,
+    0xbd5bf056, 0x48396731, 0x8a1da56b, 0x50183535, 0x8f3b8da6, 0x17338a1b, 0x1d73e882, 0x44b78647,
+    0x395edefd, 0xd02e0a9a, 0x5dc66770, 0x7261417e, 0xb14bbb51, 0x722e390b, 0x6f1c3863, 0xd9f229a7,
+    0xfd9f7fc6, 0xe3bea8e1, 0x0ba5a736, 0x4ef137f7, 0xef84a5fe, 0xf80295e9, 0x095e8ad6, 0x8bd35590,
+    0xcdc5f991, 0xb595135b, 0xbe5b37fc, 0x189ecf1c, 0x9a338811, 0x53e14de5, 0xb25876eb, 0x60868cb5,
+    0x2a4e120d, 0xe82ffbda, 0x19da2abd, 0x2051d027, 0x3b906cb0, 0x612576b7, 0xab5c34ee, 0x82db2be5,
+    0xd0130de4, 0x02078f9d, 0x9df9a84a, 0x6557ba5f, 0xe6a7505f, 0x2ee59301, 0x21995679, 0xe4b737fc,
+    0x73f439ee, 0x26d43772, 0xac2d4dc2, 0x24e66b4b, 0x6429ab3e, 0x85055323, 0x0a560423, 0xb9139ef6,
+    0x307d432c, 0xead15d75, 0xc4eff70a, 0xbd8106e8, 0x838d63a7, 0x0663b3bc, 0x7e0a1ae8, 0xc506b066,
+    0x8b8f7598, 0x880b1c5d, 0x3faf9b92, 0x3b8d5a24, 0x439688f8, 0x469040ee, 0x894152f4, 0xdd700df6,
+    0x73fcd279, 0x97384daf, 0x479f9b61, 0x36452e3c, 0xf47dffd0, 0x85dee641, 0xd9b2c8f6, 0x2fa1fd3f,
+    0xb8cb20da, 0xb35d7eb9, 0xa2ceae66, 0x0f20f2c3, 0x15507582, 0x9230b669, 0x0317a686, 0xbbf37a30,
+    0xcb774e34, 0x4aad9499, 0x7fd2d828, 0x07c64733, 0x07e925a2, 0xa7e4dafb, 0xce57381d, 0x8132a569,
+    0x16849106, 0x10d54108, 0x74f5c305, 0x8271a3ff, 0x5c35bd61, 0xce92931f, 0x9381bc41, 0xbf262e6b,
+    0x04016de7, 0x454d4565, 0x8e356bbb, 0x63996523, 0xa4218691, 0x854fae27, 0x22fda8ee, 0xf96abe1f,
+    0x26385846, 0x845d3296, 0xe9d91a7d, 0xa0ccf20e, 0x861a19df, 0x1fefdd3c, 0xaedb27fc, 0x62787acf,
+    0x96a0aa63, 0xa76f1ccd, 0x086b5de3, 0x9d9880f0, 0x3df9a262, 0x801e677c, 0x770ecd0e, 0x6c2d4144,
+    0x23749574, 0x60e08f1e, 0x52426018, 0x4bb9bfc3, 0xee6c43a3, 0x13559c31, 0xac8ad203, 0x802dfb0a,
+    0xea41eb55, 0x9bd9c9df, 0x8dfd4e48, 0x5d93c48b, 0xed096cba, 0xbe8c096d, 0x25a724b5, 0x3f383fbe,
+    0xdb7141d9, 0xdbe01901, 0xfc19b031, 0x4d1f1406, 0xa5445079, 0xc88a6eed, 0x952bb7b6, 0x8a066f3e,
+    0xd38aef92, 0x3b1e0e54, 0x646a96a7, 0x9e8be83a, 0xcc13a038, 0x46db1612, 0x8aac8c26, 0x2a823c01,
+    0xaa6bbc82, 0x6f93e0c0, 0x7a2be09b, 0xef431d3d, 0xf956a44f, 0xbc336e0b, 0x00898fd8, 0x6ee98bf2,
+    0xb15ee007, 0x40329bb4, 0xe2a0d7e8, 0x67c02ceb, 0xd86fa7b1, 0xdd2b8145, 0x90756d30, 0x17dbcd9c,
+    0x7e3ac465, 0x72c1d653, 0xe33d3642, 0xb8b0ff15, 0xd6ff760d, 0xa5e94e72, 0x5f887ebf, 0x15fe65c7,
+    0x5ea4435e, 0x3db19584, 0xb03a5c76, 0x518f73f7, 0xcb413113, 0xee4cf15e, 0xa66f7fcd, 0x3e68decb,
+    0x2f511e55, 0xaf82a021, 0x047522fd, 0x723764a6, 0x08701970, 0x0ec76d3c, 0xacd38174, 0x440dd426,
+    0xb19bf32c, 0x1c001d74, 0x29cba489, 0xb300cbea, 0x085b6590, 0x553ecf4e, 0x0e0c164c, 0xd38d38b5,
+    0x72d6f259, 0x8d3602a6, 0x0db7552c, 0xd2113611, 0x1e7fe1b0, 0xfd1ef6a7, 0x5d980283, 0x5406e013,
+    0xe1b15d13, 0x18df3bd9, 0x8245fd65, 0x5944e992, 0xdc7b1e58, 0x2144449b, 0x2423cff0, 0xcb02b068,
+    0x0ef59ce5, 0x1826912f, 0x28ab93a8, 0x0edffc69, 0x4fb94326, 0x8cace1bc, 0xcca48a1a, 0xfb1d7d3f,
+    0xef41859d, 0x710613ed, 0x115a5b88, 0x8f1aa19f, 0x013ade1e, 0xcb82cb78, 0x7edccf1d, 0x0a21501e,
+    0xfdb7a7de, 0x3c761b91, 0x08e496f9, 0x62cefa6d, 0x6e2fb68b, 0xc23dbfc0, 0x0f2ee243, 0xc7c6f87a,
+    0xa1ac8a4d, 0x5246cf61, 0x5008ab6e, 0x36c9020c, 0x816d4201, 0x94d4e767, 0x34280f5c, 0x39ffe5ca,
+    0x6521a853, 0x4eca47f2, 0xe04db5ad, 0xf0a205c2, 0xcbf964e8, 0xc12e91dc, 0x62bb5e3b, 0x169c585d,
+    0x3456a8ea, 0xf1893b9a, 0xfff19051, 0x9314e816, 0x08e9c900, 0xa4660ef6, 0x915450b2, 0x464fe940,
+    0x5a29a745, 0x907e1666, 0xb44ba6a9, 0x2a03574c, 0xfed67f33, 0xe01e0681, 0x207e93c2, 0x967e56e9,
+    0xd5131d2b, 0x5a7273d6, 0x5f084a1e, 0xf1bad99c, 0x562df7a8, 0xfa126c85, 0xe1f3b39a, 0x83ca6d98,
+    0xb12f08fd, 0xc1864a21, 0xf4e69376, 0xa7d1b26c, 0x0b3b0798, 0x48e62245, 0x19a796bd, 0x9786c797,
+    0x9b94791d, 0x7ad765d9, 0xa683cc27, 0xe7d2115c, 0x810141c4, 0x6587f6d6, 0x2320ede1, 0xfbd45e12,
+    0x647b29d5, 0x3e24bebe, 0x3d85ae8a, 0x09967e59, 0x9740a657, 0x4cb29e62, 0x75268bfb, 0x7bded8d2,
+    0xb29da64b, 0xc2fe7de6, 0x74eabef6, 0xe73d9672, 0xfe89d3f8, 0xcb4bf9bd, 0x865c446c, 0x2ca1f4e5,
+    0x03d266e6, 0x9c4233e0, 0x38e1ca44, 0xbe455ab9, 0x1d8f998d, 0x61a00991, 0xc31ba00f, 0x8db13216,
+    0x6c25bc6a, 0xd20cbcba, 0x9a248077, 0x4c86d097, 0xdde22ee7, 0x47aca64b, 0x7d63f69c, 0xdac444e5,
+    0x975e809f, 0xd6e985e8, 0xc2f19bd4, 0xbb9f8fe0, 0xa1c6a1d5, 0xbcef3cdd, 0x5b3f5cae, 0x15e69f98,
+    0x9237984c, 0x6e25547f, 0x40855088, 0x97204b2d, 0x684e8f9e, 0xbd7b2811, 0x5ad5f8cb, 0xb841d191,
+    0x64a39070, 0x66d42a17, 0xd9df8c6e, 0x558ff87b, 0xe94b2c2b, 0xa9ad7b14, 0x0ef2d0a0, 0x5db2c7ba,
+    0x1ba33850, 0x231e5249, 0x4fc14a16, 0xfe641228, 0x60928ed7, 0xca574ec8, 0xf4f51b17, 0x7180a680,
+    0x38331d13, 0x1c3a0460, 0xbc1c1a14, 0xb9bd3973, 0xf7c413f8, 0x881974c3, 0x6a27e627, 0x9f58c6a6,
+    0xc8655a17, 0x36bd0c01, 0x6b4a033f, 0xf69c7835, 0xa6e94178, 0x36867996, 0x079e3532, 0xe9812f27,
+    0xc84d668b, 0x154997fe, 0xc8d3c75e, 0xecd0571f, 0x50a98564, 0xff9c4bb7, 0x010bad6b, 0x65bb5b56,
+    0xa4136d08, 0x08c1eab5, 0x7981e788, 0xa5802fd1, 0xd394a71e, 0x76f16bae, 0xae5ce39b, 0x1c39544a,
+    0xa172d621, 0x0dbf25d5, 0x923a67c8, 0xa7a06473, 0x6cffeb1a, 0x51d07522, 0x748b1844, 0xc96cea6a,
+    0xdf1f1839, 0x805a245e, 0xdd355938, 0x5e933418, 0xe11b3e5d, 0xa11694a3, 0xc7bc0b93, 0xe9f0dac2,
+    0x1b60b378, 0x219016dc, 0x39c0e36b, 0x9e5bdae8, 0x7915b93d, 0x07896f33, 0xea2ac806, 0x4e2841e8,
+    0xa87ae7b8, 0x7fe87b49, 0x956d96b8, 0x6ea683fb, 0xbaec2a56, 0x5dca8e68, 0x9a3fd2b6, 0x2a79881f,
+    0x4c0d998f, 0xd9171d6a, 0xb539ccdc, 0x855836bd, 0x36f1542f, 0x67f8bac5, 0xf4aaad63, 0x3bb3e9c6,
+    0x92dc0a63, 0x3a80b103, 0x73023fb5, 0x39aa269f, 0x3883abe0, 0x01b98053, 0x8177afc5, 0x558a2312,
+    0x0868bae9, 0x302a4d1a, 0xf3118a24, 0x83fd8417, 0x3f9bc943, 0xe58cb868, 0x3a3f650a, 0x2fcc4188,
+    0x25d2420d, 0x4536b9d1, 0x474f554f, 0x16bd541c, 0x8d3780bc, 0x1a529d2a, 0xc095e762, 0xf8a535b1,
+    0x69bf7dc4, 0x411eb53c, 0x58ff8f22, 0xee9936e8, 0x36ea316c, 0x55ed43a5, 0x1a559a24, 0x2aadd17b,
+    0xd9dceb7e, 0x29c3e969, 0x1b0a62b6, 0xa75e8215, 0x7ce9612d, 0x08e363e0, 0xe8e37c94, 0x87b5a8b7,
+    0x77c27d03, 0x77d01989, 0xb5eb7deb, 0xefc15b12, 0x79e1f3b5, 0x566e0052, 0x547439e7, 0x28e5ae01,
+    0x45eb16ec, 0xb3af02a4, 0xc0d7aca8, 0x44f741e5, 0x31bacb4e, 0xa2a965c8, 0x96aa0753, 0x2f45aa66,
+    0x6b5fcb0e, 0xe42bb759, 0xf2c36c8d, 0xe3468c4d, 0x39ef6b8c, 0x7cdddf4f, 0xfc64e7c6, 0x0a7824da,
+    0x5a35cec7, 0x25914e7b, 0xbc5df6c2, 0x7ce221d1, 0x4c77fef3, 0xadb9d026, 0xa81c339a, 0x9e1aba44,
+    0x5408e357, 0xdab833b2, 0xe1405336, 0xe98ccfe1, 0x967cbb65, 0x9fedad9f, 0x996b6d2f, 0x500ac283,
+    0xcb1ee4d3, 0x18c945fe, 0x04ef01d7, 0x3f4eaf4e, 0x9571bc0b, 0x485a09af, 0x03dffcb8, 0x2fa6594e,
+    0x6266db0b, 0x8265fbdb, 0x04a3812d, 0x39630917, 0x33382834, 0x87aad9e5, 0x185b6b2a, 0xb59cb0b8,
+    0xa147e671, 0x0708486c, 0x9cf025dc, 0x40c0e1fc, 0x9124f09b, 0xbfaa4726, 0x5f6095b0, 0x931cf7ab,
+    0xcf37a46b, 0x43a8f70f, 0x587fc9ef, 0x39549b5b, 0xe8c610ff, 0x650bb602, 0xe2fac458, 0x5b3fc8d1,
+    0x77b97746, 0xe6b4ff61, 0x6470616b, 0xfaa9dde8, 0xa33e42b5, 0x6722cdf8, 0xbd6ad0df, 0x684a71d3,
+    0xf4da6716, 0x9597d8ac, 0x388c3dbc, 0x5ef072d4, 0x6a99fdd1, 0x0bf7fd10, 0x48be8432, 0x79481d86,
+    0x99494bdc, 0x66d89b51, 0x8cf4308e, 0xa58fc859, 0x87d48c93, 0x85227d4e, 0x2c8788de, 0x8a9f72bf,
+    0x91e2d77e, 0xf35257b8, 0x64320b73, 0x07efb585, 0xa52d4d46, 0x20f26277, 0x83c2fddc, 0x8f06e27c,
+    0x3aceafb4, 0x4dc4f7d1, 0x432d854c, 0x4fcd21d9, 0xfe0a0010, 0x3f772468, 0xc23a5845, 0x70bbd5ff,
+    0x96a454d1, 0xab906405, 0x889552cb, 0x8d301eb2, 0x63200a97, 0x6d4f441c, 0x97abf655, 0x9f1b33d8,
+    0xe87a2b1e, 0x82973bf4, 0x7961e4f5, 0x25f653bb, 0x727639c0, 0x6b356757, 0xb93c203e, 0x8f79ba37,
+    0x9c3e1928, 0x0be5f2ef, 0xdc75613f, 0x8facdef6, 0xd1d2427f, 0xefe382b2, 0x7f9a223a, 0xdf5d790e,
+    0xa5b69376, 0xc36494d3, 0xc7493f6b, 0x724cd514, 0xcd6aa513, 0x0ba483be, 0x9605a1c2, 0xb379edda,
+    0xb7e06dd4, 0x12b65b46, 0xd5f4035b, 0xeea3679e, 0x420e6a8f, 0xcd3953ea, 0x5c4a6284, 0xab4f6821,
+    0x500d7ba9, 0x9f2c9ca5, 0x2d3b0267, 0x7bc132bb, 0x5df32f73, 0xb0f3be9f, 0x77f33416, 0x4edfe54e,
+    0x79f3ebea, 0x9256253d, 0xa7591ac1, 0xcca33d7d, 0x6ecd99bc, 0xfb430ace, 0xd48ad7d0, 0x09866fec,
+    0xb8b35afd, 0x8f096187, 0x73b151ef, 0xd9aaff68, 0xfa5e802b, 0xac827420, 0x0dfbe1de, 0x0498456f,
+    0xacf6d24e, 0x68bbef6c, 0xc3eabe08, 0xb9359183, 0x287e1498, 0x1385d7b5, 0xe8d3bcdb, 0xef43aa8d,
+    0xe3094e8d, 0x3f06b6ce, 0x978c384a, 0xbb76f131, 0xec3661c1, 0xf1eb24df, 0x40d77055, 0xe02f9560,
+    0x099289ae, 0x9acd2b2d, 0x82d2ee87, 0x7ef82711, 0xc7fddc9a, 0x5d031c80, 0x969188fe, 0xf8bd8bba,
+    0x504b9ebf, 0x30743366, 0xad479677, 0x3e834821, 0xc2517e62, 0xb1eba05d, 0xd2a29877, 0x9313db20,
+    0xdf8a9b1b, 0x1ecad365, 0xbf3a95dd, 0x62229f7a, 0xe66b6167, 0xea8464a0, 0x1859beff, 0xaa8034be,
+    0x6fbc3ee1, 0x272d1892, 0x832b67e9, 0x7c454029, 0xdf2b7000, 0x2a0b00c9, 0xd7494311, 0xefce7606,
+    0x80afca29, 0x9644d9de, 0x4d56f78e, 0xae6c7724, 0xfdfa4952, 0xa7b31b27, 0xf3cd1c3f, 0x6ad2f7e7,
+    0x6213522d, 0xfa1d1cf0, 0x2514575d, 0xbbfadeee, 0x91ee71e5, 0x242dbb66, 0x3e49657c, 0x06d19505,
+    0x951067a4, 0xc7c1cc2f, 0xd1af26ec, 0xf00fdf5e, 0xc4892705, 0xd6bb69e7, 0xf08fe92f, 0x65241e82,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000002486616182\
+                         04893321077691124073410420050228075398673858720231988446579748506266687766528 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b,
+    0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac80, 0x82e7859d, 0x06650fdd,
+    0x00000000,
+    0xc43f74d6, 0x05361a7e, 0x84f89788, 0x53d5d830, 0xccb4f04e, 0x615e09ee, 0x6cc32d34, 0x1938d945,
+    0x95eaec0b, 0x7d869d23, 0xb8c94d7a, 0xa5004709, 0x059ef14f, 0xbee720a1, 0xba111787, 0x2126cbf2,
+    0xd1a044c0, 0x992d9768, 0x56f02fb0, 0x668d60c0, 0x2ad72a7f, 0xf8b2cf4d, 0x34c282a5, 0xa894b7d3,
+    0x22f461d4, 0x3fd48c11, 0x2382535e, 0x70f88bf2, 0xba75cc67, 0x56193e07, 0x784296a0, 0x51544d35,
+    0x18e23ddc, 0xffda6a03, 0xdd47143a, 0x7ccff81a, 0x50637d35, 0xaaf3bb79, 0x33eba00e, 0x0735c206,
+    0xeacb6f91, 0x6e01970f, 0xbd98f43f, 0x07996f4e, 0x90ed71cb, 0xec10ef42, 0x719240d6, 0x1671b65e,
+    0x8e02a0ec, 0x4d0d3fb0, 0x1e00108d, 0x2efa6a3e, 0x8d03b010, 0xcc7a2310, 0x43d679a2, 0x51e3f7b3,
+    0xdd585f19, 0x42932f03, 0x3a7c5966, 0x5f3c77e5, 0xa940e1c5, 0x23aed24e, 0xaac510e9, 0x5dd9ce93,
+    0xb7177ae3, 0x5ae8ea00, 0x9b40f2c7, 0xcf295b7b, 0x13721729, 0xa7fe76bc, 0x72105930, 0x0748386f,
+    0xfe09c738, 0xe1d07d0a, 0x400c21b0, 0xba9c3b09, 0x828f571e, 0x6bea09d4, 0x0393803b, 0x4556aa32,
+    0x745cd753, 0xb6fb5b4e, 0xebd0297c, 0x1948a540, 0x43f608d9, 0x43607b92, 0x342e2d79, 0xb5b07bda,
+    0xe94c8514, 0xe8a96536, 0xa8d6f9f5, 0x62fcec15, 0xee72194f, 0x6730ec21, 0x4274a2e3, 0x1141d41e,
+    0x89698506, 0xc40ac0da, 0xe67b68db, 0xbc1e038d, 0x07830c74, 0x8474b2c5, 0x6abd81e7, 0xf66d32f4,
+    0xa795eb27, 0x0c0ebfda, 0x07d6a14f, 0x5ad52ad9, 0xcc9580a7, 0xfeb7d93d, 0xfea48e8e, 0x795ef876,
+    0xc3957750, 0x79ea9ee1, 0x32f04dd8, 0x760f69a2, 0xe08bed7d, 0xe1c0432d, 0x198242c1, 0xe568205e,
+    0xd40b6a7d, 0x8c495517, 0x8c04b05d, 0x73b9f4c2, 0xcdc3fa6f, 0xf3618be6, 0xcbf7bc38, 0xe10bd1fe,
+    0x680c390d, 0x9af42de3, 0x08bff55a, 0xe53381c6, 0x14614fb7, 0x01a507f9, 0x003a251d, 0x5edd08d7,
+    0x3be160a0, 0x55d04748, 0x3df68aec, 0x453c7394, 0x24507ef5, 0x63caca0b, 0x7f7048ff, 0x946c79b1,
+    0xd98cd703, 0x827b1b77, 0x8e3df9ea, 0xe6b50041, 0x265de1cd, 0x8a0fb5fe, 0x0073370f, 0x74eac973,
+    0x1a12d854, 0xf8a3ed4f, 0x845588a5, 0x8e6427c4, 0xf7118560, 0x5bf9518a, 0x9ace21f9, 0x94363de3,
+    0x395bbe5e, 0xbb488cfc, 0x9c1e168d, 0x67cf5b77, 0x622565c1, 0x0d0ed8ca, 0x13210513, 0x89d23e92,
+    0x02ee57d4, 0x2c6a8645, 0x1169ff6b, 0x42c481fa, 0xbc937d84, 0xa3e427b0, 0xf5d36d32, 0x7b35ffbd,
+    0x0b01278d, 0xdbfcb1be, 0x494cd758, 0x7b3e9e96, 0x3804ae84, 0xf8916807, 0xf0d6b8e1, 0x8a77728d,
+    0xfdc5718b, 0xdddbe977, 0x74d9a6bc, 0xfd58af63, 0x4e940606, 0x942a9035, 0xeada2726, 0x3f07ca8c,
+    0x02398280, 0xe66ba97b, 0x1c3c22b4, 0x78507406, 0x165d84c1, 0x402c6f2c, 0x1c6e9209, 0x310fae3a,
+    0x371ad50b, 0x773546b6, 0x37fb0358, 0x7440c794, 0xd8ce63f9, 0x0a669459, 0x6bd57876, 0x0196bb69,
+    0xbdc669bb, 0x953178aa, 0x6bde5190, 0xaef57004, 0xba6481ca, 0x24332984, 0x0df4c8de, 0xd571e083,
+    0xab5b36b5, 0x61b3c411, 0xd66a3800, 0x88a5fef7, 0x80223d78, 0x4d052445, 0x3788d8ce, 0x4cf0750f,
+    0x60be8e44, 0xd4b32a8d, 0x569e9b08, 0x6992de14, 0xa90a9857, 0x7bd55dee, 0xe4bbff51, 0xdff290d6,
+    0xb3c21b47, 0x2bb6e0fb, 0x3364f159, 0x8ef79f96, 0xbf1365ed, 0xbc93a3d4, 0x457bc1fd, 0x4e0ced76,
+    0x39641801, 0xd7cc2e61, 0x481ab99e, 0xe0df8dd7, 0xa61d4383, 0x46818bdf, 0xf9fc4653, 0x290ababe,
+    0x470ae389, 0x5d9323cf, 0xa450fce8, 0xb9d9f57f, 0x8c5a0831, 0x8e5de74a, 0xec6456d3, 0xeadae638,
+    0xa49782f2, 0x7afcc34c, 0xa91a40e2, 0x22ed4bc4, 0xe5bf6116, 0xe81b5e0c, 0x7fbb9046, 0x0ea19562,
+    0x18a6951b, 0x11bc685a, 0x19e40e85, 0xdd415d2d, 0x8375b442, 0x6359449e, 0xfec589e5, 0xd0209caf,
+    0x9fff995f, 0x338d9b29, 0x4a54cea1, 0x93b1df20, 0xd56ee800, 0xf61f8718, 0xaf3b3bd5, 0x4d6d4d35,
+    0x28229c42, 0xc7a4333b, 0x5f009ad4, 0x82f930b2, 0xc512c593, 0x314977f6, 0xfd9f983e, 0x40e52840,
+    0xa4bc4083, 0xbf24ea75, 0x8dca3ebf, 0x14949071, 0xf1a32360, 0x076ee357, 0xc1b7c0e4, 0x19bd7367,
+    0x05574dad, 0x991c6f9a, 0x5d3f1fa5, 0x54d8612b, 0x36cf907d, 0x7f86f963, 0xaa5bc325, 0x12dc9560,
+    0xd6869793, 0x3d2acec3, 0x5004d2ba, 0x21d94492, 0xf9245295, 0x71ca0533, 0xfe05ea6d, 0xc6127d13,
+    0xc8afc877, 0x85a64df3, 0x66a74473, 0xdec30063, 0x10d5a737, 0x7c05c09c, 0x47f00fa7, 0xef1aab5d,
+    0xa969acb5, 0xbe70981f, 0x4af49576, 0x4bfde9eb, 0x16188faf, 0x11482110, 0xfb61b405, 0xe514449a,
+    0x92c09b68, 0x2913a06a, 0x50b7b9b0, 0x202fc293, 0x8db6b8ee, 0x4a2a762b, 0xcb398fa1, 0x226e67f2,
+    0x7ebe821d, 0xace25047, 0x60fd51f0, 0x1c149e0c, 0x7ad16c97, 0xf2fbc717, 0xfe1c5694, 0x329dfeea,
+    0x0fd649e9, 0xd9c88705, 0x10034aed, 0x918f8982, 0xee59aae6, 0xb394e4af, 0x3226a92c, 0xad55a9ae,
+    0xb852e004, 0xdcd558fe, 0x1a3df609, 0xe5c31f64, 0xa0a0ec67, 0x016bdde6, 0x77b59a66, 0x04fe489b,
+    0x6f85218e, 0x8e383318, 0x7583d21b, 0x5f96687c, 0x932b958c, 0x6fae8971, 0x85fa63fd, 0x55bf3b4f,
+    0xcc275dd5, 0xeb02cfc4, 0x03f6ce7e, 0x6426ae87, 0x2d5e5ac3, 0x1ace9004, 0x9dd36606, 0x01284ee9,
+    0x623839d5, 0x4b53426d, 0xcd5ea400, 0xb59248dd, 0xe792a8e8, 0x6da44923, 0x5064aebc, 0x5e45a423,
+    0x1a5999e3, 0x5e284ea5, 0xf36e4284, 0x67f9bc0f, 0xd94c2693, 0xb2eb9985, 0xf489a58f, 0x159da600,
+    0xe65227c6, 0xa310eac1, 0x2f428b5a, 0x523e6234, 0x37a768cc, 0xbd092919, 0x0384c501, 0xfdefd243,
+    0xee679d20, 0x35f08361, 0x43e4cee0, 0x08f1252c, 0x69005a2e, 0x5b6a09bf, 0x7345f5fb, 0x78b42315,
+    0x0c55db13, 0x7b2e3328, 0xd1f2f0ce, 0x244a0be6, 0x53812efd, 0xbc99f3df, 0xa35cb9aa, 0x4300d3f1,
+    0x8dbfffa5, 0xb2f77e77, 0x8c1354dc, 0xa277ffed, 0x12f73d33, 0xb49951fd, 0xae52b34e, 0x68256e67,
+    0x64973610, 0x0f2725e7, 0x14e5c4cb, 0x8cf298b9, 0xdafa4da3, 0x18af9cff, 0xf95e724a, 0xc0241c71,
+    0xe09d66f7, 0x0ff0a1d2, 0x2e14c40e, 0x3d8d86f4, 0xb06c9ce7, 0x7ea65076, 0x4e80a08f, 0x90f8e063,
+    0xb4637081, 0x16482304, 0xf5e952e6, 0xe8a74d84, 0xe0656fa9, 0x20004c94, 0x67d22a3e, 0xce6df1f1,
+    0x0ef4d3d3, 0xaad9808b, 0x96d50107, 0x0c2f6ed7, 0xd3de04e4, 0x8cd6614a, 0x978757ce, 0x25f682b4,
+    0x97b1f170, 0x6f4293c3, 0xd6c4d82f, 0xbe1b44b3, 0x3162ac68, 0xca5dfd5c, 0x738c98db, 0xbead34bb,
+    0x292f52c2, 0x760d4f54, 0x99beb9b6, 0x87a66242, 0x5d5726b9, 0x1cb0adfc, 0xf539ceaa, 0x8af785aa,
+    0x4a43a84a, 0xb4ab7db0, 0x8769df27, 0xdf55128a, 0x5e1c1c15, 0xa054bbb3, 0x02dbf78e, 0x03809c38,
+    0x73e16984, 0xd3c77c57, 0x7bf7e4b5, 0xd8abddb3, 0xb2c8e37e, 0x3b275e68, 0x58a13207, 0xe14b3ea6,
+    0xa962ffe7, 0x31fb8380, 0xf41a3139, 0x8146bbb6, 0x476c04d6, 0x8e80661f, 0x028de49f, 0x622741ed,
+    0x3afd9f1e, 0x0789074f, 0xff58f66f, 0x2ead7658, 0xfc7463b6, 0xdcbaef45, 0xe7f217aa, 0x919e8f9b,
+    0xa3c0d96f, 0xf0ace1e4, 0x16464ac7, 0x846b3503, 0x826e321d, 0x85959a2d, 0xf2128095, 0x021e4d83,
+    0xf5366f29, 0x88c0032a, 0xb9e69965, 0xa08736e8, 0x73162923, 0x62dfeaee, 0x0dd792e4, 0x554c0c6d,
+    0x9fadbf82, 0x9449d29e, 0x3cbded67, 0xa83b0cda, 0xecb66e37, 0x567a1e04, 0x50af81dd, 0xfd10e49f,
+    0xd409937d, 0x814b5a85, 0xf5e21f7b, 0x850de256, 0x2e774a2d, 0xfa98f597, 0x550330ac, 0x1e6ce547,
+    0x7afd862c, 0xd805d885, 0x6e72233a, 0xfeaa09f3, 0x402834a8, 0x9d5d0570, 0x7036e5db, 0xcf08ce96,
+    0xc727b3ab, 0xa2904c68, 0x221d4bcd, 0xc27e5377, 0x62877718, 0x85b4be43, 0xbaf9a0b8, 0x3ab821d6,
+    0xd59fa3ca, 0x9f0a62a3, 0xe1949b9a, 0xc49436a6, 0x60b8b85e, 0x4818883e, 0xaabdb9c1, 0x223cab66,
+    0x92b711d2, 0xfab7f9a2, 0xa7ff38f3, 0x6da9be39, 0x2eaae672, 0xea674692, 0xd73dc79a, 0x26f321b4,
+    0xd0c18e40, 0xf936b94b, 0x209cdede, 0xae1696b5, 0xbf9b5210, 0x7204164f, 0xa5f6cb35, 0x33d5489d,
+    0xd67f789a, 0x6b5ce92a, 0xe3f7affb, 0x3b7777b7, 0x99017974, 0xf82b0a74, 0x0dc64c55, 0xa0c82163,
+    0x8b458205, 0x6c7ab136, 0x538c4927, 0xd2778caf, 0x87d883a2, 0x951a4cbf, 0xd5773071, 0x94860c8e,
+    0x4cf9edf6, 0x28fb2db7, 0xb73ce62e, 0x480fc124, 0x6d3ef4d4, 0x88e65350, 0x042cfd91, 0x80c62e9f,
+    0xee7e780f, 0xdef454a9, 0xfd713a1f, 0xa18afe2e, 0x347037fe, 0x73042d84, 0xc5767469, 0x20883a12,
+    0xb2d1c789, 0x61cd380b, 0xd24e7969, 0x7986a64a, 0xdd69a195, 0x00aafe57, 0x20acf06a, 0x1f2a3603,
+    0x42077211, 0xee411144, 0xd4f55e63, 0x02dcf2c7, 0x27f5f8a8, 0x1f0c0dd3, 0x005d4aa9, 0xb8ce6e14,
+    0x4de14393, 0x4514854e, 0xff02fe9b, 0xa7bb5a1c, 0xa5987fcb, 0x17f91e29, 0x93a17249, 0x27eae366,
+    0xa4764dbf, 0x131ae548, 0xe7cdb8af, 0x0a2c67ea, 0xefb4cf4f, 0xf01bfec5, 0x1f7c15d0, 0xb6544454,
+    0x5131e2f0, 0xd4133542, 0xab382652, 0x12463ece, 0x1aece03a, 0x24f3d241, 0x552b270e, 0x335b6ca6,
+    0x65161db6, 0xb6123d72, 0xf7b9c08f, 0xd29f615a, 0x15db8266, 0x65e5e41a, 0x8fc5a239, 0xf98a06b2,
+    0x1ba66057, 0xbcc96930, 0x28cd2a95, 0x68e865c0, 0x528f6462, 0x519ba4c0, 0xd5d6d367, 0x23f25bde,
+    0x0d8495cf, 0x8c6c8e1c, 0x3d125826, 0x6f6ee22b, 0xa1b991f8, 0xe0982faa, 0x33309c1d, 0x82c4cbb2,
+    0xd5271072, 0xc6713ae5, 0xc66dbbdd, 0x8372361e, 0x9a80ebe7, 0x97f10acf, 0x417c74ae, 0x897d0558,
+    0x771b9f11, 0xb4cf1cd9, 0xc389ffb2, 0x3a04cc97, 0x4b081461, 0x858faebf, 0xfd151c2d, 0xc129bdc8,
+    0xc3def36f, 0x94bb7e14, 0xaf9435fc, 0xd1b245b5, 0x9a2e1066, 0x7014220d, 0xd125bb3a, 0xf07e4f0f,
+    0x18a3c1f5, 0xe71d0ebb, 0x5d93968a, 0x09800b44, 0x7bdb0bc6, 0xd9c0c65f, 0xb09027e3, 0xcb669d1b,
+    0x09c928db, 0x107b4d71, 0xbc784f18, 0x8834535b, 0x40cd41ab, 0xeee66a29, 0xbeed427f, 0x161be040,
+    0x2418ee80, 0x196a3608, 0x2f9d451a, 0xeb11bf6f, 0xc4e652bd, 0x2d147983, 0x3f40cb42, 0x6dd8f3b3,
+    0x7d944fe0, 0x27ac73b9, 0x5008e393, 0x3f2e5466, 0xa09b6f62, 0xc37a5283, 0x6c452171, 0xaf0511f4,
+    0xa7d4d284, 0x3acb65fe, 0xff0eb0a5, 0x835a7e78, 0x98d5618b, 0x344408c5, 0x851138fc, 0x04600aa4,
+    0x06ab6c22, 0x42cafc6e, 0x4cfe5953, 0xabf54a09, 0x0d9494df, 0x78fba6e1, 0x1bacb264, 0xe9b0d3da,
+    0x26be62f8, 0xcdf3d139, 0x86a91263, 0xcbc431c5, 0xd6d2071a, 0x01fa8959, 0xc7f2628d, 0x2b54f752,
+    0x6e9e43fd, 0x443fe1f0, 0x32da9d64, 0xc5ffca09, 0xabe3eefa, 0xa7627350, 0x5a6a9db0, 0x4a20a6c0,
+    0x320f93f1, 0xcae77c3b, 0xa0a8f34c, 0x2a039845, 0xa22a4910, 0x19f3ee55, 0xaa18d16d, 0x27a65233,
+    0xa6755f49, 0x0236daeb, 0xeba461d4, 0xbe983555, 0x6f6dd497, 0xc11202f5, 0xc7437333, 0x256df5bd,
+    0x83a9a59d, 0x1bb007bf, 0x1ba5dbb1, 0xa24ebb1a, 0x9d676c34, 0x481275f7, 0xe771681a, 0xef2c8b93,
+    0x150039ca, 0x6cfe4eec, 0x47ebec10, 0xf766a6d1, 0xf61c8909, 0xb6b91142, 0xf63557ad, 0x8bdb76c7,
+    0x2e811b8b, 0x62943a8b, 0x079442f1, 0x5353b283, 0xfb4bd229, 0x50168542, 0x697668a7, 0x670a2d4c,
+    0xe5a8d560, 0xc8b1fb93, 0xfa0adc3e, 0x1ba40018, 0x6b893b97, 0xe208065a, 0x162abbc1, 0xd12d5e87,
+    0xc7b55317, 0xf569fb7d, 0x679aaa60, 0xcf0224fd, 0x3298c7fb, 0x85f08212, 0x402947bb, 0x714aa913,
+    0xf23d3227, 0xfb351c08, 0x0fcfe853, 0x9dfc1f0c, 0x6cb56c2e, 0x544b345a, 0x8458a451, 0xbdd56fd3,
+    0x863b0114, 0x5d91bcc6, 0x3c81d7c2, 0x16f412fb, 0xa28a6fbd, 0x99996f1c, 0x607ea508, 0xb05111fd,
+    0xacf382aa, 0x01332d56, 0xd2948159, 0xcb1acf56, 0xe6fe9b35, 0x05bcae54, 0x23a23bc3, 0xcc2e4411,
+    0xd01dc9d7, 0x1b5e0d24, 0x5d1a4073, 0x943ed76e, 0xc8d541fa, 0xdc2e4801, 0xa1602296, 0x2b4f5c03,
+    0x9ebce98c, 0x964a5d5b, 0x28378101, 0xa1181d84, 0xf64001bd, 0xaa4d1203, 0x6a83d2b0, 0xf8cfeda9,
+    0xa9e7f13e, 0x1b01608c, 0xebd04146, 0x8f0473c3, 0xdc455ff3, 0x0061d1b7, 0xef33009f, 0x060bc484,
+    0x43f002d7, 0x6dd7b84b, 0xa426cbe9, 0xb5c5636f, 0xd11b0947, 0x4ed07ad0, 0x66673929, 0x7db7c76d,
+    0x6b89a3fc, 0xf3467990, 0x54563d72, 0xd5dde9c7, 0x7bd40c47, 0xc9074407, 0x73fcba0e, 0xc3fb2938,
+    0x34963756, 0x576c9de8, 0x146d6c51, 0x364d7cc1, 0xfc17962f, 0x56d7ca90, 0x7de196ee, 0x3b24ad41,
+    0xed59a89d, 0xa826f2cf, 0xbbf6d833, 0x43f89828, 0xda736a42, 0x7c30d2e4, 0x3c84f4cf, 0xbae0a3c9,
+    0x3d54c726, 0x458c15cc, 0x2e3c2cfd, 0xb86b84f2, 0xe826851f, 0x283cef6f, 0x8726bf62, 0x9d77d39f,
+    0x30ecf277, 0x22f6710c, 0x5878c83a, 0x4f0777c4, 0x978bc322, 0x03f04697, 0xcf48f37d, 0x97013b02,
+    0x6bf424e7, 0x2ac6d5bc, 0x07f8f810, 0xf8740739, 0x3c733ca4, 0xd8b9deaa, 0xcbac70c0, 0x6a248d85,
+    0x6dced817, 0xa3954327, 0xc7838a28, 0xf6386843, 0xec300283, 0xedfb3013, 0x12faa016, 0x8229a1dc,
+    0xbc32f836, 0x6b2676f5, 0x3e150fd1, 0x174f85b3, 0x4fb6beab, 0xe1d77e63, 0xf07d43af, 0xa6a7efc9,
+    0x2e932e90, 0x2f2f420e, 0x262a96b8, 0x6d147980, 0x02815229, 0x5f5e815c, 0xc5166db7, 0x267f7d28,
+    0xc3a2ce25, 0xa76da052, 0xab44cb22, 0xb692923a, 0x38ff9522, 0x3688da56, 0x6f4280d0, 0x9ceeccda,
+    0xf2dd3a3d, 0xc007fe8a, 0x4bf8e285, 0x909715f6, 0xd3c48513, 0xdbf683e0, 0x31cb18e0, 0x4101c49b,
+    0x8397f9f9, 0x0f9d38a5, 0xf6ab9125, 0x571135c1, 0xa9cb6fab, 0xda15b1c4, 0xcb409d29, 0x8743fae4,
+    0x2a670e14, 0x6a7be4ff, 0x5661305a, 0x19b0b5a8, 0xd5adf2d9, 0x15384793, 0x0e1a4c32, 0x75764045,
+    0x13ad9aff, 0xa04d315c, 0x256c5717, 0x659307dc, 0xe042e89e, 0xd4bda6ab, 0x93895de8, 0x6083f8f1,
+    0x44799f0d, 0x11e614a3, 0xccf7a246, 0x7149988f, 0x72e878c0, 0xf5a7dadb, 0xdd514b43, 0x95fa6883,
+    0x176b756c, 0xcd45ab90, 0x8c0802a9, 0x240d67d6, 0xdb677f40, 0xf6e60eb0, 0x3b9b170d, 0xa9975671,
+    0xa7a4689d, 0x6a19e80a, 0x1505f6f2, 0x7145c88a, 0xcc56d28e, 0xca45adad, 0x24043806, 0x7d8695e4,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000001243308091\
+                         02446660538845562036705210025114037699336929360115994223289874253133343883264 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25,
+    0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db5640, 0x4173c2ce, 0x833287ee,
+    0x00000000,
+    0x9e7df6a2, 0x35f198ff, 0x5c4c02eb, 0xf4081028, 0x594a516d, 0xe3b8d779, 0x4c3e897e, 0x199dba00,
+    0x4fe474d6, 0xb4a893b8, 0x1e4ed47d, 0x122438c0, 0x47285040, 0x53148437, 0xb62a3151, 0xf665ee55,
+    0x302e015a, 0x1e47efed, 0x9cbb1bfc, 0x03fa26e5, 0x7f15ead2, 0xc1ac61a9, 0x5529c7ca, 0x5c96681c,
+    0xbae6c89b, 0xbfd4697f, 0x98032fbb, 0x8b390a2c, 0xf50bb2af, 0x26fce1cf, 0x085f4d0d, 0xdadbd5ba,
+    0x59c2d070, 0x2de6b4e9, 0x5300d377, 0x245f0f7a, 0xda23c382, 0x723c5ab6, 0xbe50dda6, 0x9c439509,
+    0x8d99ab2d, 0x5aec37b8, 0x897ad2a3, 0x82991d79, 0xf94bb3a7, 0xc8347422, 0x5d06490f, 0x282e56de,
+    0xaa1068c9, 0x337d6260, 0x7ee27994, 0xb2f7e731, 0xa3c78414, 0x602038b1, 0x3dcfad3c, 0x38be35cf,
+    0x4057076d, 0xaba83016, 0xd187791c, 0x2e1b308b, 0x5a9a1c75, 0x4e3854a7, 0x49172ee8, 0x14f0ac60,
+    0xacbec03d, 0x707f1bed, 0xcc649581, 0x2e36ae43, 0xc57660af, 0xd16e0edf, 0x4afe66f7, 0x2c5cc021,
+    0x977d20d7, 0xd2891124, 0xa9228e71, 0x12c05748, 0x7d124fff, 0x5be90ce3, 0x863b785e, 0x10ecf784,
+    0xb677c672, 0x1ee049eb, 0x5adb515d, 0xecbd8e09, 0xb77171c5, 0x6e33a689, 0xfaaae5b6, 0xe3533767,
+    0x68fc6a85, 0xbc553e48, 0x518ad765, 0xc0e4b9b0, 0xa04debe7, 0x76af9f96, 0x914edb0f, 0xd35fb9cb,
+    0xabf02d6e, 0x58a4dee9, 0x2523b60d, 0x9082cd92, 0xe1de509d, 0x12e4a3e2, 0x54702401, 0x0d15e1d7,
+    0x304f12a4, 0x75536945, 0x8dab9260, 0x713037f5, 0xc3fcd921, 0x36c2057e, 0x034abbc4, 0xda8f8bf6,
+    0x927e86a8, 0x246bdb59, 0x6407f06c, 0xed00df4a, 0x2b6b7fc4, 0x9bc4b987, 0x1f8478a8, 0x475677a3,
+    0xd631583c, 0x1b738692, 0xd252d2df, 0x989252da, 0xd4bbabbd, 0x4ca418c4, 0xc35ff8fd, 0xd5ae4a19,
+    0x206f99d1, 0xe6d0c9e2, 0x5ccd30d2, 0x90709ccb, 0xc64bc70e, 0xab843e6c, 0x029212a9, 0xbd5e19a2,
+    0x62f9a46b, 0x7c682bea, 0x79eeeb22, 0x4429fcda, 0x7cd4c4a4, 0x1863f180, 0xc135351e, 0x173c2381,
+    0x42969cc6, 0x6e33bde1, 0x4ba95b89, 0x7d88a10c, 0x3fe3825b, 0x5ab9c106, 0x7482ba1b, 0xd9379903,
+    0x097cb687, 0x2794bc5b, 0x36cb2213, 0x3afd8112, 0xf2761d9b, 0xd718b679, 0x2b58a978, 0xbd68bbc5,
+    0x957fa249, 0x4bfc5219, 0xea920bda, 0x1e809040, 0x29fb601c, 0x819fd8a9, 0x80be01b1, 0x3d2dc08c,
+    0xee69bb62, 0x9779fe5e, 0x04e16346, 0x9b90dc15, 0x810fb69f, 0x4fdf87f3, 0x00b339e4, 0xeaeb5257,
+    0xfd73747e, 0x0ffe0460, 0xf8a0ba65, 0x828df8e7, 0x6f9ee82b, 0xa0d12fbb, 0xed1a8df4, 0xe98ed4ed,
+    0x893fa352, 0x285960de, 0x30bed6ea, 0x9e54680e, 0x50fb6060, 0x10609db4, 0x908bcd88, 0x21d2f5d4,
+    0x6296b875, 0x8838b1cd, 0xa4114e3c, 0xfcbc8037, 0xd0500381, 0x3a297a52, 0x554ca16e, 0xbfc72fb5,
+    0x6b98cb96, 0x7d03ab8b, 0x40ba7111, 0x4405d8dc, 0xda967667, 0xdd49b220, 0xcb802936, 0x4b504efd,
+    0x0b82653d, 0x72099a53, 0x91d39322, 0xadc6d1fa, 0x1efafc12, 0xf7a46b09, 0x5158826a, 0x8b51d402,
+    0x0b2edc44, 0x2a9ffde3, 0x8b73dffb, 0xe0a8a0cf, 0xaa646e04, 0x4a633af5, 0x17ebee42, 0x5d4b3b6d,
+    0x94825325, 0x5528f839, 0x0b3dd3d2, 0xb1819f9f, 0x04ba4127, 0x2a1feac8, 0x56870981, 0xc483bd3a,
+    0x9f15d9b4, 0x571fb04b, 0x1fdde2e3, 0xfd267395, 0x2e7879c1, 0xe7562171, 0xebd6767c, 0x9078754c,
+    0xbd226454, 0x64dd3d36, 0x5c5c3f29, 0x3d73dd00, 0x772ddbac, 0xa00ecbc0, 0xaee075f7, 0xce757140,
+    0x284d28d0, 0xc2bd2149, 0xb80de7b7, 0x78070dcd, 0x1bb8072f, 0x18f9bcb4, 0x9e91087f, 0x3c1b108d,
+    0x355b8728, 0x453f5ca6, 0xea275cb7, 0x4f7579c1, 0x7d3b326f, 0xc2b73897, 0xb505e756, 0xef02044f,
+    0x1db0f384, 0xbd4c2c21, 0x67886383, 0xb2191a5f, 0xdaeb3886, 0x06f93f5a, 0x5341edb7, 0x62b9e5b7,
+    0x46c31fca, 0xb5fc2e48, 0x8dc75d14, 0x22fa8ccd, 0x14453a59, 0xf708d37b, 0x5c7b118a, 0x70175ed8,
+    0x8c5783cf, 0x786e7e98, 0x7909b259, 0x8dc896c0, 0x1e5af1ae, 0x3472f22f, 0x5d82a48f, 0xdd9b961c,
+    0x1bfa752f, 0x03a15e70, 0x66ac4681, 0x9f518dd7, 0x24b07300, 0x9aa0622b, 0x2e6a6279, 0x0e3503e1,
+    0x281e144c, 0xd1d0fbf1, 0x9da7d970, 0x00d4c335, 0x02c98aa5, 0xb6529f35, 0xb6d968a0, 0xd7bffed6,
+    0x46de0966, 0xae5d22dd, 0xc6b43a55, 0x41543abe, 0xd663aaa8, 0xd369a1e1, 0x64061d57, 0xa457ea1b,
+    0x5fefcab5, 0xbe4852cc, 0xe4550c7e, 0x52b17861, 0x35ae2776, 0x9814408d, 0x250f4b9f, 0x3819e236,
+    0x2cc06867, 0x0174b450, 0x8e04e132, 0x050de772, 0xed200e7c, 0x62375e8e, 0x900c5b9d, 0xfa431fbe,
+    0x95bc5f1b, 0x4ef73f80, 0xef38b67d, 0x465fb801, 0xaa924265, 0x10b2dccd, 0x10a197e2, 0x1d21c954,
+    0xd02b024b, 0x9fb8ad1f, 0xea6b83db, 0x24a98483, 0xc3d7dfa9, 0x7b8af8cf, 0x1da4bf03, 0x5b63d61e,
+    0xde9f1111, 0x94a1202d, 0xcf871b7c, 0x0e38d565, 0xd0f8fa05, 0x2f20471a, 0x62195b54, 0x3533055d,
+    0xd3f853dd, 0x2152f37c, 0xfaeabbc0, 0xf5f37c79, 0x414d5158, 0xa4a10193, 0x134eb3c3, 0x876bf997,
+    0xd79bc427, 0xcbc865d3, 0x704be0bc, 0x41815452, 0xb9752645, 0x5cd7035c, 0xa63b71bd, 0x0f7a0c95,
+    0xbba88856, 0x0687dc9b, 0xe3d7aa62, 0xc488258c, 0xd04b49f4, 0x9037c350, 0x355fa908, 0x17f366d2,
+    0x31b59958, 0xf2964a61, 0xa3008585, 0xad53c8ee, 0x3f5e1925, 0x43a27f79, 0x1c0f636e, 0x74d160e5,
+    0xca765abe, 0x1f63c076, 0x3f484a66, 0xd3c23af3, 0x21de2fd9, 0xcb600b36, 0xe38202eb, 0xdd377af4,
+    0x39ae9298, 0x521e3ee8, 0xf2c84964, 0xdc16fa0f, 0x3a1ed973, 0x57f2da68, 0x53c8daf3, 0x7b0a68b3,
+    0x68f1a138, 0x0ec9690c, 0xbe7a167d, 0x963b2950, 0x4ec1a0eb, 0xde14f773, 0x43f51ead, 0xcc4b6bd5,
+    0x979d96b2, 0x8d347d16, 0xe329a53f, 0x0c3d46c6, 0xbddcefaf, 0xe28ff190, 0x519835c1, 0xfd23c233,
+    0x930dd831, 0xbc404093, 0xc375eed9, 0xc3e6f23f, 0x931c28c7, 0x5199fb8a, 0xb76b9f9c, 0xcf54b3a1,
+    0x37bec6f5, 0xf0254b76, 0x3520f671, 0x0d805bc8, 0x4f95441d, 0xc5100ba3, 0xdf713ecc, 0xb2019150,
+    0x985c8c8b, 0x803a66b4, 0xdcc5ef8e, 0xb3106b78, 0x64d1a209, 0xb27e27de, 0xd83d5631, 0x542eedd6,
+    0x1892b524, 0x6859fa6b, 0xc6cd1cc0, 0x469c8f74, 0xbd56f50b, 0x00f445c1, 0xd8cede53, 0x05885903,
+    0xd36c57b4, 0xde80737b, 0x09712e01, 0xb6c170e8, 0x0c5a4c9c, 0xc22d544f, 0x62db708f, 0x152b51bd,
+    0x5e6e8bee, 0x621aded9, 0x9bd74ff9, 0xcda119a9, 0x0372d51c, 0xec922eab, 0xb98860e3, 0xf1d6e37d,
+    0x680f3ecb, 0x50bf5fd8, 0xd9b2fabc, 0x4c4ce29f, 0x49d45346, 0x81b6f392, 0x248df3de, 0x7e65c743,
+    0x27888814, 0x464226c8, 0x277d3cbd, 0xc6f0f9e1, 0x8fcc6ecd, 0xd79ec3d1, 0xfba33187, 0xbd2bfc16,
+    0xcabbfea5, 0x555ae241, 0x8d3dfff4, 0xd43f17f2, 0x132b4456, 0x49d17476, 0xc556c4f0, 0xe23300a8,
+    0x3cd9e067, 0xc0d46b39, 0xf4324623, 0x6b64a83f, 0xbb309a9d, 0x25046252, 0x8372590a, 0x2997f5de,
+    0x7af50e8e, 0xa7585a95, 0xe36b8854, 0x7caf8a43, 0xddb11594, 0x291e8d93, 0x5e7be385, 0xdbe7f67c,
+    0x38188336, 0xbd0ba4d9, 0xf360a95e, 0x4a848bc3, 0xf49f584f, 0x626d8b3e, 0x73411add, 0xa5cfa5d7,
+    0xdbf5da76, 0xdb471871, 0x9fd9dc94, 0xc3458b86, 0x3cddd19f, 0x918b459c, 0xba32c124, 0x2b9a1d02,
+    0xc059a1d8, 0xfe6c20fe, 0x7c826a97, 0x57fc3480, 0x989b2273, 0x85a3c232, 0x298341e9, 0xc98209f4,
+    0xd7b5c09b, 0xd68c4668, 0x765b725d, 0x0834ed14, 0x05dc9ac4, 0x1664f81e, 0xe5e452dd, 0x38d19185,
+    0xe7a03a4d, 0xd65f8ee5, 0xa5110be2, 0xfe6d9bcb, 0xfe92bc13, 0x6fc43e01, 0x6a9484e9, 0x75f8e511,
+    0x8503b562, 0x8f3f7ec5, 0x87887246, 0x46b26064, 0x78af9753, 0x9ec38922, 0xb91ecd2d, 0xd61e9b96,
+    0x49a008d6, 0x654f85b3, 0x92f97abb, 0xc9e09fb6, 0x27456263, 0xa47b15ed, 0xecf9fd32, 0x69c2c1aa,
+    0x8b17c68c, 0x7beaee1b, 0x57b7c2a9, 0x8320be11, 0xa018681d, 0x737f8a42, 0x8f205dc1, 0x8eeff3f3,
+    0x3b2546ac, 0xa099b131, 0x1cca2bcd, 0x8c70f80b, 0x042ce2e5, 0x586e2eab, 0xcc92e356, 0x0086de8e,
+    0x7be9afdb, 0x646ab3dd, 0x13c37979, 0x071b2909, 0xcb9e2de6, 0xcb5e8fff, 0xb54b9a3e, 0x66da4265,
+    0x61b23e05, 0x03d60d17, 0x81286db1, 0x9ab609ca, 0xbbbaeba8, 0x3b9c6547, 0x42f26c57, 0xf151ed61,
+    0x0cb163ea, 0x1a732df4, 0xe8f26555, 0xd3f72618, 0xd30950f1, 0x51985fa4, 0x6c3ee418, 0x7ce40332,
+    0x102c718e, 0xa3f63150, 0x9a44e69f, 0xa9376ef4, 0xb6f45ecd, 0x1ec70798, 0x01e559ea, 0x854b78dc,
+    0xf52fe24b, 0x31c9468d, 0xd31cb198, 0x0a735bda, 0x5fea0cda, 0xca03ef79, 0xc07c0602, 0xbd95c8c8,
+    0x4ea0b456, 0xa1b23a3d, 0x987b831f, 0x2625de13, 0x4daaf4b9, 0x07b3441f, 0xee6813cc, 0x941a7303,
+    0xcab5a66f, 0xb57bab73, 0xd46406eb, 0xc6ac628b, 0x2ef24271, 0x21b6319c, 0x98028c7f, 0x00277a6a,
+    0xbf3277aa, 0xd15c4b4c, 0x13bcc302, 0xf6fb4829, 0x2f420fc0, 0x5835a0ed, 0xb0336ec1, 0xe41a23a8,
+    0x3b7c4b9d, 0x91e9607e, 0x694ba0d8, 0x51294dbd, 0x4cf63c26, 0xcff5aa6b, 0xf5d9e45e, 0xdeb28ba3,
+    0x4e65d2db, 0xf30bbc09, 0xb3f581a0, 0xbfeb0445, 0x7273be2e, 0x5fc23179, 0x1bc9cd5a, 0x80439892,
+    0x3ff2feff, 0x27bfc7bc, 0x3d77e012, 0x46ee0411, 0xea4b1978, 0xe61c0e7d, 0x1df056dc, 0x22eba25b,
+    0x95d04702, 0x6c80aa27, 0x29683700, 0xaab5f515, 0xe19ffcd0, 0x405600b4, 0x38c40140, 0xb3d228cd,
+    0x8e6b7dc7, 0x0e2b2bf0, 0x54245a8d, 0x72f309ea, 0xb993ee0f, 0xebaff338, 0x2b36b481, 0x531f0b10,
+    0x71d7f0c7, 0xbe6d90c1, 0xcca9ea55, 0x6be263c4, 0x24016e12, 0x78061d1e, 0x12ad111c, 0xec3afa5c,
+    0x1d0bb650, 0x8119d82d, 0xf00d2d8a, 0x3f60e829, 0x339e30b3, 0xe01f2c10, 0xc4fc6cdd, 0x6d2a0e27,
+    0x99b1d54d, 0x8e833b8e, 0x6d3c32df, 0x9251261b, 0x1f4271a3, 0x0eea8d29, 0x1a430a7b, 0xacf9d98f,
+    0xe6ccce12, 0x207dc33c, 0x0ad78fd6, 0xd9e9fead, 0x7280807b, 0xf8479577, 0xf02149b1, 0xf76729b1,
+    0x57ef01c5, 0x69a89c14, 0xe5630d56, 0x8e12a3c8, 0x19241ab3, 0x926c8461, 0x9fd65bc5, 0xe888820c,
+    0x2950e684, 0x18d5c2e1, 0xce7830d5, 0x40e1c7d5, 0x593d0f14, 0x8a1ac58b, 0xc032b5e7, 0xf9e828e2,
+    0xe3301138, 0x1dcda533, 0x51171430, 0x8e900aea, 0x66d4fa71, 0x094b862d, 0x2b5b5e94, 0xea1a153c,
+    0xd2d7e70c, 0x9e11e428, 0x40bcbc0a, 0x67bd96f7, 0x1b0509c1, 0x9c852918, 0x81be2ab1, 0x6865d982,
+    0x3bd6bb81, 0xd40c143a, 0x1102bebd, 0x9bab07be, 0xb3f2f36f, 0x5c9aaf42, 0xcc7f449b, 0x9917608b,
+    0x7abe66b6, 0xd46986f1, 0x47c41866, 0x652a66f1, 0x54279a1d, 0xf9ae7123, 0x32e64799, 0xd64fd92a,
+    0x91730224, 0x36b07e59, 0xf527e2dd, 0xf3cf294a, 0x13e319eb, 0x09fb1660, 0x8c8a82e4, 0x227f5d86,
+    0x90ef9f4b, 0xb718a877, 0x4b20f18e, 0xe8dbefd9, 0x254334ba, 0x3f2524a5, 0x19769978, 0x76201f11,
+    0x063b58a2, 0x1779c745, 0x6d5b4ca4, 0x7600319f, 0xd8e689bc, 0xc7398134, 0x19eec253, 0x1a556a84,
+    0x808b2adf, 0x471263ff, 0x734a29cf, 0x4be7caef, 0xc072269e, 0x3209416b, 0x4340f80b, 0xec517a00,
+    0xfca54058, 0xce4f9604, 0xe7c3b734, 0xd2e8463f, 0xe7653b9c, 0xa026aa27, 0x5b147f50, 0xb08178d8,
+    0x7cae8bfc, 0x4cf7b6aa, 0xe667764d, 0x3d12cd5c, 0x11aba884, 0x9ddab834, 0x2b1b0662, 0x24c453dc,
+    0xb2105cbe, 0x5bfcb13c, 0x2390cc74, 0x436f3436, 0xaad1c15f, 0xe2ee7c55, 0xbcfb9d7f, 0xd734e88d,
+    0x6ca785c7, 0x38aa8949, 0x65d28600, 0x43622102, 0x772c95a5, 0x7ef58e3f, 0x7eeb7103, 0xcc595436,
+    0xb80e91d1, 0x4ee339fe, 0xe1d1d069, 0x27777bd1, 0x30329947, 0xdd5bd73c, 0xb1837787, 0xc3ee2c05,
+    0xc4377340, 0xd7c378e8, 0xbcc39237, 0x6011ea89, 0xa99b671c, 0xd89f185e, 0xcf5b575d, 0x6bee270b,
+    0xc16abe76, 0xbbfc40f9, 0xe4eeb71b, 0xe8ab29f9, 0x961dec2a, 0x439d9e99, 0x6f6eb3dc, 0x3b288554,
+    0x7022b5e1, 0x02f6aa57, 0x4de256fe, 0x5b68dd99, 0x60d594dd, 0x7a9c972e, 0x80a7ef02, 0xdf2e7c93,
+    0xe172261c, 0x830e1ea7, 0xe616d827, 0xf918b620, 0xa0b6f6d0, 0xee7f1cef, 0xd9764771, 0x3d941bf1,
+    0xadeb3d03, 0x1be85253, 0x8ebbf0c0, 0xf5a526f9, 0x67f06e34, 0x711c9049, 0x24d4d113, 0x6a405ab0,
+    0xeb0f7480, 0xc3832154, 0xe72b1a4e, 0x3dc45b53, 0x5779d84c, 0xb4a78284, 0x3f74e614, 0x8937a8b4,
+    0x51487e38, 0x879af2cc, 0xb68ab6a7, 0x49bb947e, 0x0995140a, 0x283014bc, 0xcaf23eae, 0xb6c09cb4,
+    0x3dd7d905, 0x8f2153fb, 0xfc22e75f, 0xefd07bfb, 0x7ba60f09, 0x6dcfea95, 0x08915d56, 0x4f45d75d,
+    0x02af8df1, 0x5efa1877, 0xc6153f2e, 0xcb4fc2ad, 0x083b5b88, 0x4c173943, 0x768d005c, 0x6462f05a,
+    0x3a85eeaf, 0x0e351315, 0x838451af, 0xd454211f, 0x568d1c6f, 0x478691cd, 0xb4af2f5d, 0x580952e6,
+    0xa2f79264, 0x6aafb6a4, 0x0b4ca4d3, 0x6fee85d1, 0xa5058d57, 0xd3542bb7, 0x3ae9b5b3, 0x112f431f,
+    0x86a4783c, 0x11ea3481, 0x661a7a36, 0x80467fc7, 0xd7c9a6e0, 0x3c07ba1e, 0x40de0d3d, 0x0d051d3c,
+    0x3323c6ed, 0x2506505b, 0x5c6d097b, 0xeeda0435, 0xb94954e5, 0x7652d22c, 0xa80ceda3, 0x0b7ad5e8,
+    0x2162cc37, 0xa4f5d67b, 0xc881920d, 0x709e15e8, 0x0d0684c5, 0x6cc91ec2, 0x418c3993, 0x1cc9cc49,
+    0xafee7321, 0xe8865dee, 0x1b254583, 0x98e41b75, 0x746e37a3, 0x1339d07b, 0x1ed6cb43, 0x057a1c67,
+    0x306cb0a1, 0x083b19d5, 0x880cdf47, 0xce041835, 0xff7132d0, 0x6a9f1af1, 0x0ae35ee3, 0xb8141c54,
+    0xf50d6c34, 0x755b9864, 0x40a7e573, 0x5e59a6fb, 0x43c63837, 0x0e5868a9, 0x8fe6ca67, 0xd320af87,
+    0x3c789fef, 0x18750d4b, 0xcf8b6112, 0x8228d21e, 0x98c3349c, 0xa30f792a, 0x07eb5b82, 0xf22fde8d,
+    0x2c538688, 0x2c7fc2c9, 0x70da5897, 0xd3e50dd1, 0x4303bf8a, 0x28b73af8, 0x837b5b9c, 0xd80ce308,
+    0xdb0c8fc0, 0x7c260738, 0xa20202ea, 0xc8d0fd61, 0xe063dfff, 0xc0aaaa07, 0xddf8e536, 0x5addafad,
+    0x03579ab3, 0xac7965d9, 0xd6f87df8, 0x8249a226, 0x94f33441, 0x5c955a68, 0xf56c8593, 0x56f2c699,
+    0x88074116, 0x89862ea5, 0x44a58151, 0xb3e9c063, 0x4c26019c, 0x899ed6d4, 0x6f091848, 0x5891926d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000621654045\
+                         51223330269422781018352605012557018849668464680057997111644937126566671941632 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12,
+    0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e167, 0x419943f6,
+    0x00000000,
+    0xc96e0739, 0x508c38d7, 0x2a5843e3, 0x7d82ae12, 0x289868e0, 0x4e401126, 0x94900afe, 0x9ce5d248,
+    0xbb0b038e, 0xce7d56c0, 0x13d31718, 0x9ecdb02c, 0x77edcfde, 0x2f36b031, 0xa603384e, 0xdfc1d79f,
+    0x7ab995f2, 0x8ba6f33e, 0xf7d9810d, 0x673761cb, 0xe9dd389e, 0xeb44bc9c, 0x24572975, 0xb8958b25,
+    0x007f29f9, 0x98c34b39, 0x5bfaaa5b, 0x2881c55d, 0x966b2fed, 0x7485e7f5, 0x65a61b17, 0x3e0a2e0e,
+    0x6ec79b10, 0xa0ac0726, 0x6e0ff124, 0x93aff418, 0x3f6ed1c6, 0xabb47b08, 0x9691a221, 0xf5e37af8,
+    0x1629f38e, 0x6b4cd032, 0x7ae6bc51, 0x81e72630, 0x65930ab8, 0x8bfa29fe, 0xe032b0db, 0x183d9427,
+    0x1ea25962, 0x4626566d, 0xcb815e4a, 0x570ab3ff, 0xb1cd7baa, 0x93d34c6a, 0x5d9b2e46, 0x958ba588,
+    0xeeba75ca, 0x7bd37ee3, 0x9abdeb68, 0x2a1d8f92, 0xa896d3c0, 0xa5a3f4bc, 0xa724de96, 0x1f4c45e1,
+    0xd844ff80, 0x83b9ac93, 0x26f7cf57, 0x53e2fccc, 0xcfe790fc, 0xb920aa2e, 0x293ccf49, 0x902588d9,
+    0x60e6e679, 0xeed66372, 0x14bea6d0, 0x4217e60d, 0x27dc1257, 0x76bc301b, 0x169145aa, 0x0cdc0e18,
+    0x2f0047d0, 0xd2171a33, 0x3cdc9acd, 0x5a733b77, 0x01e1c78b, 0x31884702, 0xf190be17, 0x99ac3f96,
+    0xde3f6df4, 0x9a758d40, 0x1e0d3a9e, 0xa0a43533, 0xebf86f43, 0x0e4eff22, 0x39eb13d8, 0x2a3d8b0a,
+    0x8d02bdea, 0x12b147b0, 0x4fc2387a, 0x3a87ed41, 0x1e91a1c2, 0xfcb9d94e, 0x4fac17aa, 0x5a6c3ce3,
+    0x2b3ce920, 0x295eb667, 0xcacf45a1, 0xeec47204, 0xa2ac4187, 0x7232bf0f, 0xaa63604c, 0x53f037d5,
+    0x2b881e1c, 0x417332a8, 0xe7ef6778, 0xe24ce0ee, 0x660025bb, 0xa5e344e6, 0x23432a37, 0x8f7e8c5b,
+    0xc707f4a7, 0x4ea5aca2, 0xbedca06a, 0x83fe3c39, 0xc57d08c2, 0x1d27a4d1, 0x051575f8, 0xf5181f85,
+    0x96df0cd9, 0x0c8591b7, 0x5428253f, 0x7a8a5d27, 0xa9b405ea, 0xf7f972a4, 0x75e5ad88, 0x20eed6cb,
+    0x6160e633, 0xd35cde16, 0x6173a864, 0x6c599bf8, 0xbb56c52b, 0xdcae2ba0, 0x1abaae73, 0xe5f225e1,
+    0x10513e0b, 0xd2fae968, 0xe71628fd, 0xfa0f6b9a, 0x10f8c9d0, 0x703f264d, 0x3201af2b, 0x9bbaa3d9,
+    0x077f1b88, 0x7416d9f0, 0x495ddf9f, 0x4270dc75, 0x41f31b27, 0x723e01a5, 0x1a5a0ee6, 0xf8a02a29,
+    0xc30972e3, 0xb3a3d37e, 0x8bf94b80, 0x3d79a73d, 0xf4cbaeb0, 0x75d72d4e, 0xcc61fd73, 0x094ce212,
+    0xbfc670ff, 0x60dd6727, 0x099f19f9, 0x946cf159, 0x52aedb76, 0x4f5a03fe, 0xb17714bc, 0x8133261f,
+    0xab98edf7, 0x8a7e21c7, 0xa9c894b4, 0x4e981897, 0xb106ca88, 0x8269f141, 0x8f7662fc, 0x2bfd0a1c,
+    0x5adcb796, 0x41921cb4, 0x4a933b19, 0x1eb5e973, 0x314b8c17, 0x908d4a5e, 0x0134d2ad, 0x0c39e568,
+    0xd677aaac, 0x2e017e45, 0x128789a9, 0xce695310, 0x0e2b8f40, 0x646cd8c1, 0xae4e07a3, 0x70a672d7,
+    0x6ed27e57, 0xb5dc9bdd, 0x0debe6aa, 0xba12673f, 0xbca0112a, 0x003656dc, 0x93c3d8e5, 0x10a64fc6,
+    0xadd1077b, 0xeac27ef0, 0xa59920a1, 0xa03213b2, 0x3460f079, 0xddf69b04, 0x85c50860, 0x022e3d27,
+    0xc6790916, 0x0b933b81, 0xfe79676c, 0xfc20af25, 0x6deb818b, 0xbc78cba3, 0xd8bb6c8a, 0x6bf54f3d,
+    0x085fc271, 0x513c4f97, 0x7f067d7b, 0x05de92ef, 0xe2822ef3, 0x4a3e4d60, 0xa6269860, 0xe58b17e0,
+    0xfd9c046f, 0xf24ee0b7, 0x62b4d237, 0xc21b956e, 0x187fcf0c, 0x704112b0, 0x00aeba9c, 0x7f52c385,
+    0x7cc30eb2, 0xae0acb54, 0x28ed745b, 0xa2ae215c, 0x43a468ac, 0xb0656a91, 0x6afc8690, 0x593ad985,
+    0x114c418f, 0x4ab074ca, 0x2b07b405, 0xb06ca9a5, 0x795d8cc8, 0xc5c2acd4, 0xc50721b3, 0x0267829e,
+    0xb6007e3d, 0xeb865089, 0xd6f8cf6d, 0x044f3a98, 0x4d68660f, 0x33e628cf, 0x2fcc4e4e, 0xd0df57a2,
+    0x3777b453, 0x75787a87, 0xd4d5ab5e, 0x4938b80d, 0xcc33368a, 0x251c9009, 0x68241a01, 0x0f9186c4,
+    0x12fbb4da, 0x2b5cb728, 0x0f01ccc5, 0xf743c4d2, 0x224ff7a9, 0xeb8e994e, 0x8eb448f6, 0x0582680e,
+    0xab5d6e64, 0x87e53bfe, 0x552bf9ab, 0xe88b796a, 0x7e5c0f21, 0xd0087875, 0xeade5b0b, 0xdfeb08b1,
+    0xb51fd7d0, 0x742a815a, 0x1631525b, 0x0d8a9a7a, 0xcda60b2f, 0xc502565a, 0xb30b8215, 0x6c3326af,
+    0x92b89e6c, 0xcf5a9572, 0x8ac53af3, 0x2919b035, 0x1b5122d5, 0x56e4ef4b, 0xeb47afc9, 0x93b5c864,
+    0x8d3b9912, 0xe81cbc57, 0x75b16a74, 0x831399ea, 0xb837ed77, 0x731b90d3, 0x29a70ea4, 0x84786932,
+    0x0d1a2633, 0x2b107f23, 0xda151928, 0xc17d6101, 0x2a130f11, 0x424a7d44, 0x01ea4e89, 0x5fbac3e7,
+    0xfa30272c, 0xd8f7e457, 0xe0772c01, 0x0a7f6209, 0xe2c0f620, 0x3e6baee7, 0x89cf0d40, 0x1c915db0,
+    0x1e85d2fa, 0xe0a7bece, 0x6dccc791, 0x532e199b, 0xbc0617d6, 0xce4383b9, 0x56105815, 0xb5eb1ccf,
+    0x8d4360f5, 0x859bd737, 0x888ed425, 0xa9422b2b, 0x97a16992, 0x4a64ad9b, 0x0a32c1f9, 0x5651c8cc,
+    0x71dfefff, 0x21562ce4, 0x8b85580e, 0x13396a2b, 0xef41f1ae, 0x5ce878ea, 0x019531a5, 0x5311e6c1,
+    0x15ae4844, 0x9277d163, 0x5678639f, 0x61c68841, 0x3ef8db72, 0xae87bd15, 0xe25e6bb2, 0x4e2f3fc1,
+    0x0b4c79e9, 0x1effaa26, 0x191f3cca, 0x9ec3f014, 0x93f877de, 0x9072028b, 0xde38006e, 0x9c961fed,
+    0x794a634c, 0xec8c003d, 0xcbba4b3e, 0xe39f29dc, 0x48278c00, 0x23b343f3, 0xaace0894, 0xbb544939,
+    0xe5eaa258, 0xc222ba05, 0xd10cccbe, 0x7d796a73, 0x6e48bf9c, 0xd0905fff, 0x1cce2d74, 0x88281574,
+    0xd29dda82, 0x82a64dbf, 0xe6f12760, 0x838088fc, 0x67850f6b, 0x6facb6cf, 0xaa39917c, 0xf25405ff,
+    0x89a6c6ce, 0x5f65350d, 0x7bb580d9, 0x7c46a7f1, 0xada0afee, 0x2aa4808a, 0x42736328, 0x68b50751,
+    0x04732ded, 0xea5a539c, 0xa999a910, 0x336c9caf, 0x425c377a, 0x2c142196, 0x908b0afe, 0xc1a429b6,
+    0x946ae6bf, 0x7f5db17a, 0x414719bd, 0x1b754ed2, 0x32279e64, 0x66858f54, 0x415d5b76, 0x9969d943,
+    0x30ead643, 0x1f235ca3, 0xffce4aaf, 0xbad201b9, 0x4aa6dab6, 0xc0cea85c, 0xb6b6ef72, 0x47bbb3e0,
+    0x040edc13, 0x0556d3b3, 0x8de1d182, 0x2c0ef498, 0xeb932d47, 0xf2c052d4, 0xe530982b, 0x761d81ed,
+    0x9ec9c6db, 0x9380c8ff, 0xe0589048, 0x75a98a5b, 0x986ef511, 0xea14c6ab, 0x8c15c642, 0x4cf9905b,
+    0x73964cda, 0xc47365aa, 0xd5c45d10, 0x63728fee, 0xb8fd788b, 0x5f4758bf, 0x12598f8c, 0x2a3176b3,
+    0x11edf151, 0x6dbd4607, 0x26e70329, 0x4e021e84, 0xbe348262, 0xa525f744, 0x55368648, 0xddfc7969,
+    0xc4876bb9, 0xdcb9d53c, 0x8264a8bd, 0x9a28f195, 0xb649088d, 0x9366cc7f, 0x2a71ada9, 0x64a55eea,
+    0xfe696f14, 0x2c6e34cc, 0xa7e06e8b, 0xfdec0dab, 0x410ce088, 0xa866da82, 0x6adf3987, 0xa1514632,
+    0xad494807, 0x32d15059, 0x482d81ca, 0x7e980efb, 0x9cbe534d, 0x75de31fa, 0x3217b83a, 0x1cac2386,
+    0x6911f326, 0xb4947b46, 0xc0a2dfe8, 0xf4873386, 0x4f6f07cf, 0x15a1d7eb, 0x5c32ce32, 0x9a36ee70,
+    0xda240815, 0xfab82f3e, 0x62f692f9, 0xf6ad4dae, 0xcda724e0, 0x58bf5931, 0xfb24ab5b, 0x5320fe31,
+    0x7e7959e2, 0x6fcbebb8, 0xeb07365b, 0x0c25afd0, 0x7b63a4fe, 0x70bcbd91, 0xd316532e, 0x25b08d60,
+    0x9da37565, 0x1214d3ad, 0x01efb78d, 0x41123474, 0x71116d34, 0x8e79ea00, 0xc826b542, 0x7addcf55,
+    0x758c0204, 0xc7816a4f, 0x17e87dc2, 0xfafbbb61, 0x10e1ef5b, 0xb8e33a21, 0x32383ff5, 0x34402ec9,
+    0x72393d30, 0xb9a2824e, 0xbada28bf, 0x5696640b, 0x186f2b55, 0x13a6721b, 0x2ecf378e, 0xe58bf492,
+    0x3d1bcb2a, 0x3486b970, 0x93ca9102, 0x39303a4b, 0xf3e3a26e, 0x5f33134b, 0xc1dbb384, 0x26359e78,
+    0xe0f7c303, 0x682094a9, 0x42f2337e, 0x5b6e6af0, 0x2be8e018, 0xc9f1a391, 0x82bd3be3, 0x91b473ae,
+    0x87c55269, 0xa689d8ab, 0x7e5cbd51, 0x8a98bf8d, 0xcf457011, 0x039dfea4, 0x0ef2a263, 0x0b36de10,
+    0x664acc05, 0x7a9c137c, 0x811f4e7d, 0x1527558f, 0xe2052036, 0x86c054c7, 0x89735688, 0x1c00a069,
+    0x8ae88ccc, 0x73274e56, 0xd6ad6089, 0x848fe06c, 0xeb988bc0, 0xe143941e, 0x350fb02d, 0xb8d44007,
+    0x633f4f69, 0x4ad35abc, 0x816e5640, 0x6e9ed762, 0x888502a4, 0xde504223, 0x0754d542, 0x5be0a4e4,
+    0x71be3628, 0x56a1b57e, 0x129064e6, 0x34eee93b, 0x7e4b17bf, 0x81151224, 0x7e937010, 0xa68b2daf,
+    0xb300b2c0, 0xe0c059ed, 0xf3057cd5, 0x63fa9b34, 0x313001b2, 0xa0736d2f, 0xc053a8d9, 0xccbef177,
+    0xb799b5e3, 0xe6a0c17d, 0x6c2cf371, 0xc58c5731, 0x72c7321c, 0x067b3bb7, 0xfa6d183b, 0xd9e07158,
+    0x252a0299, 0x57daf4b4, 0xf2a0fdfa, 0xf6d7e4c1, 0x8b68c27f, 0x5ef6d2e1, 0xc0d6d62c, 0xb0b32651,
+    0xc3b41cf8, 0xc6e9786e, 0x27368bc3, 0x10c50dec, 0x322f5a03, 0xc7545727, 0xd98e3367, 0x6eb39c31,
+    0x1ac712aa, 0xbb1016da, 0x6ae0576c, 0x31320cee, 0xfa12d3c0, 0x6b6e24fc, 0x072ce743, 0xef02b841,
+    0x969ee632, 0xc0635079, 0x1d8a1c62, 0xa8e0a496, 0x05fd842a, 0x775d3d2c, 0x140d085a, 0xd2dd8252,
+    0xa171a92d, 0xaa47dac1, 0x6f45ab5a, 0x123f5f4a, 0xd0c9cdaf, 0xe2f65458, 0xaa16bd24, 0x75ed0e81,
+    0x9d78d01f, 0xa2cf3110, 0x417f5185, 0x7a9f4f08, 0x7a7c72fd, 0xb11eff83, 0x2e8e47c8, 0xa894b384,
+    0xc2333b0d, 0xe370271f, 0x61719af0, 0x2ddc6c46, 0xf619b562, 0xb66ec58f, 0x6fcbe095, 0xbdcb5b9b,
+    0xba06cd39, 0x8c398f56, 0x0fecba57, 0x83721a0e, 0xe937bc75, 0x0c597fc3, 0x8c212414, 0xa073038c,
+    0x35031985, 0xf430d227, 0xfd0f08fd, 0x45dd121f, 0xfe85477a, 0x55abf0c2, 0x1a88564e, 0x1de1b56a,
+    0xd3d68769, 0x70d3deb1, 0x402c8a5c, 0xcb26e1f7, 0xdb8fb5be, 0xd59bed12, 0x7c4cd006, 0x4edb8b0b,
+    0x6b0b4adf, 0xdb6ae262, 0x2dbb1f0b, 0x2abba474, 0x3c391d83, 0xedc24bbd, 0x0ae4870d, 0xfc953b6b,
+    0x6664fa6d, 0xe73f727f, 0x0361f4e7, 0xe6c404a8, 0x33aa0951, 0xac71b75d, 0xfd3185e0, 0x906e73e7,
+    0x22060ab6, 0xcdcd44bd, 0x61f9345a, 0x2752ff3e, 0x7e98ee04, 0xdf5b1b9f, 0x6b2fc94e, 0x58a97674,
+    0xf1912db7, 0x01bc730a, 0xf7bee8ed, 0x0efcdbfa, 0xe6e29670, 0xf25e7a48, 0x973b51cc, 0x5f094a03,
+    0xe294f0c7, 0x56c3e2bc, 0x76902e11, 0xd813d502, 0x6f9fa741, 0x1219c76f, 0x9bd2226b, 0x835be6d1,
+    0xe406db05, 0xde37e0de, 0x48636ef4, 0x2080409a, 0x53155cff, 0x5cd298c8, 0x1344e501, 0x9692c031,
+    0x7374fc3f, 0xd5236a9a, 0x06042de7, 0xa7b688df, 0xbc9a124e, 0x518206d7, 0xdd77a896, 0xc8086cb8,
+    0x0e79b387, 0x000e989a, 0x6fe6eac8, 0x2cfd4ada, 0x5f13a415, 0x6d937992, 0xe233c1fb, 0x309e6d9d,
+    0x3099f2c3, 0xbf34990e, 0x29751480, 0x75a9820b, 0x3f2d819f, 0x9a47b37a, 0xc05f50ee, 0xd869ee8c,
+    0x06c9292b, 0xfc6c5a56, 0x0bb3d663, 0x60525110, 0x017c7f1a, 0x95f64335, 0xfccfbd97, 0xe9996081,
+    0x3964cc6c, 0x61cfa110, 0x5c646e36, 0x25009bcb, 0x3a104d3a, 0x2989ce6e, 0x5c4d8c06, 0x16078bf6,
+    0xed88a1d8, 0x01b56214, 0x8c99f627, 0x15b836fb, 0x4e747e7a, 0x01b4870c, 0x6604ac6e, 0x935974c7,
+    0x426fb417, 0x692467d4, 0x174e6ee8, 0x8c9f5a7c, 0xb5e906bc, 0x565cf4b1, 0x11a792f2, 0x3b12f615,
+    0xf4539ddd, 0xefee10dc, 0xff14761d, 0x85250c6e, 0x72c1bb9f, 0xdd06d736, 0xaf7f33ac, 0x960fb559,
+    0xe0472e28, 0x2b59c190, 0x5627b798, 0x498b11fa, 0x6158f1d6, 0x2ec83958, 0x530acd2e, 0x5483f2a8,
+    0x43d54162, 0x6527272c, 0xa58f710e, 0x29b5ebd9, 0x2c5fa95c, 0xa82446b5, 0xfc259e5c, 0xfe74c766,
+    0x1dccdaf4, 0xacaaf412, 0x851456b8, 0xabdb2f55, 0x88300826, 0xae6c4c60, 0xd02afcee, 0x113fc357,
+    0xb35d4cb7, 0xa45bba1c, 0xbbf06530, 0xc514fa00, 0x18fa58bf, 0x87593ee6, 0xd275c0fc, 0xcee29006,
+    0x9af35959, 0x24fed4a1, 0xc0e148f0, 0xf99aff15, 0xa518d42b, 0xf10691e6, 0x67ef81c2, 0x95c0c563,
+    0x1b21427f, 0x9cc8e000, 0xee6f3454, 0xfff5d46d, 0x4b195684, 0xb47a89e2, 0x52f17942, 0xb926d7fa,
+    0xcd89bcf4, 0xc4037829, 0x8fef48e5, 0x39d4e89e, 0x95ae3910, 0x91c269d6, 0x980d7cb0, 0x7f3e104a,
+    0x150096b6, 0x238d65df, 0x5882d2d6, 0xdfc76430, 0xf8a9cc65, 0xbc1e97cd, 0x074c28e0, 0x19ffe74d,
+    0x393b4382, 0x4937c68a, 0x9c89bc40, 0xc02a62cc, 0x5d3c140e, 0xa7c5e2a9, 0x085ab723, 0x306aba50,
+    0xf18f743c, 0x715e8acd, 0x2a0e2c83, 0x72e7d454, 0x24beb8cb, 0x37cfa464, 0x570e273e, 0xda6de6d9,
+    0x7eb5f3b9, 0x8302c793, 0x6a26ab58, 0xe734456d, 0x58baa4b0, 0x67483f80, 0x1dc0ba79, 0x815bb7bc,
+    0xa673002c, 0xb6161c2c, 0x15e2925b, 0x165a3857, 0x9e0ae4ca, 0xabb66561, 0x2afcf479, 0x7f88a149,
+    0xa88379e8, 0xbb3f5216, 0xef0e3dfc, 0x7a9b36ad, 0x0480ef88, 0x6604f6e8, 0xead06f85, 0xd909c560,
+    0x3e1c14e3, 0xc638b92f, 0x56c0aec3, 0x2f01f803, 0x5708eee2, 0xf39a4526, 0x8a37211d, 0x23a22381,
+    0xd7542c38, 0xa2086a4c, 0x8af0768b, 0x068bf7d3, 0xc5cb0fce, 0x0ce35583, 0x6547da5f, 0x78622a9b,
+    0x0d104432, 0x737e2c4e, 0x5b6d82ab, 0x32bc7885, 0x5109a408, 0xe43f9248, 0x31b8faa1, 0x2fc472d5,
+    0xfc078eac, 0x5142bc2b, 0xcb0aa4d2, 0x890d473f, 0x42f0b81c, 0x466d130a, 0x288dfa72, 0xc772a627,
+    0x356c0b09, 0xe6438958, 0x2b5add77, 0x17a2ce46, 0x6a5777b4, 0x38d61e04, 0xefc6b1d5, 0x41296758,
+    0x1e53df83, 0x7c71ea7b, 0x18909a8e, 0x2068047d, 0x793e6d11, 0x6db6239e, 0xfed95d07, 0x20b411b4,
+    0x3dcddf90, 0x9739c08d, 0xb8a58841, 0x949dc659, 0xc01695bf, 0xf234350d, 0xd468cd27, 0xedb6e8cd,
+    0x203100e7, 0x6b24bc02, 0x3b107c70, 0xcbc49a11, 0x23cbe01f, 0xf4469a71, 0xd944afd9, 0x2aea248d,
+    0xf6978568, 0xb35331da, 0x3b77626e, 0x2af35601, 0x5848da9e, 0x282a8f07, 0x2e495162, 0x24ffae06,
+    0xa4375d82, 0x3670975a, 0xb7b6ad56, 0xf7a00171, 0xd6966c99, 0xdb4aaf14, 0x1115e35f, 0x36b12db1,
+    0x98d790a0, 0xa6042b6f, 0x88664779, 0x39322afd, 0xb6eb1b89, 0x60637964, 0x4a8aeb77, 0x62b8bcd6,
+    0xf2acbb22, 0xaad7fcbb, 0xda4f515b, 0x40675f70, 0x31b45ff5, 0x6afd2f0a, 0x537106ac, 0xfeab9657,
+    0x0d6fbac2, 0xa731b675, 0x4458c118, 0xc5e70750, 0x0296a649, 0x18968566, 0x280cfdaf, 0xcedfc7c8,
+    0x9bd9746d, 0xfb31ee70, 0xfc521a12, 0xe69bd1cb, 0x94f4ef8f, 0x9dbc9287, 0x12d413f3, 0x0ee5c7c4,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000310827022\
+                         75611665134711390509176302506278509424834232340028998555822468563283335970816 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09,
+    0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b3, 0xa0cca1fa,
+    0x00000000,
+    0xe314e027, 0x33f6ae70, 0x67a4a688, 0x0949aa30, 0xff7ef39f, 0x11329dc1, 0xb138b3e3, 0x2af62c90,
+    0x6136bcef, 0x5a640915, 0x6952f34f, 0xd051561e, 0x385dc1fc, 0x2bb55e55, 0x157b37ff, 0xe0d18faf,
+    0x42ddcfe0, 0x686dc5dd, 0xb6da6def, 0x4895e1d7, 0xeb5a3aba, 0xb9a914d3, 0x3e561fe3, 0x1f72033a,
+    0x067a3b58, 0x16dbb1b7, 0x7aa61e63, 0x1eb545b6, 0x4f99d2fc, 0xbb236e43, 0xeb2cf1dc, 0x31c5486e,
+    0xf0279ee9, 0xe0ecbead, 0x406f9076, 0x628f83be, 0x266c12c2, 0xe55c15ae, 0xcfada54f, 0xdcffd713,
+    0x2e1ff9d8, 0xa8f4d7ca, 0xc7680fbc, 0xfc60a31e, 0xcb0edf2d, 0x94e9fbc9, 0x14948a73, 0x34e40cd3,
+    0xda8a7fdf, 0x4ee386d9, 0x7bae2438, 0xd492eab6, 0xe9f65d4e, 0xc3e262d6, 0xff8fe5e8, 0x21230486,
+    0xf82b8ef0, 0x68819732, 0x390fd647, 0xdddfaa04, 0xdee6f52a, 0x3f1b06ff, 0x244c4cae, 0xee410d8d,
+    0x254b6d01, 0xd31048b8, 0x40378ade, 0x3acff8f5, 0xed040d15, 0x12c22a38, 0xd6bb93ac, 0x2e2be897,
+    0x701c2d30, 0xef6b7d6f, 0x72556d50, 0x8e55e7d8, 0xf8bbdb92, 0x6581a02c, 0xa8789ae2, 0x28f54c03,
+    0x863f952c, 0x3f6a4da0, 0xf6066c2c, 0x41b7d379, 0x8bd291d7, 0x8ccc4713, 0x79cc0874, 0xba9e582e,
+    0xd1782c08, 0x799e089c, 0x61d45431, 0xfd4bd9a9, 0x66bddf6c, 0x0659fa74, 0x639cd187, 0x09b9ed1f,
+    0x15f033e8, 0x000e0f27, 0x0cd4884d, 0xc728d275, 0x1cd83e82, 0xd3bc6f19, 0x100528c7, 0xfeeda624,
+    0x76c47e6c, 0xe79569d9, 0x716597a0, 0x292d4a32, 0x3fdcd87a, 0xdd80935d, 0x6dda43fe, 0x668776b4,
+    0xd62629f1, 0xae059cdd, 0x862fb125, 0xda8945d2, 0x7a8c4207, 0x2e598141, 0x11f5b4e9, 0x7feec23d,
+    0xf31601e8, 0x01053235, 0xe384451e, 0x190cfa5e, 0xa254a6ff, 0x081c0fe9, 0xfcbbc840, 0x7a8e6a01,
+    0xfcb8743e, 0xc78f65d0, 0x165bb267, 0x3603064f, 0x40fffe62, 0x9a407502, 0x42cecda2, 0xf05d8a5e,
+    0x3ba06348, 0x48bcfe41, 0x76362410, 0x57017d9e, 0xcc9f2670, 0xd3b5243f, 0xe7929180, 0xa219755b,
+    0x5fcc240e, 0x1dfc658d, 0x2c4b170c, 0x2f6a2da0, 0xcd1158e0, 0x8474a79b, 0x6e2dd126, 0xd8085191,
+    0x0ac55459, 0x75c8544d, 0x470a77da, 0x8bc3dfcf, 0x90491d5e, 0x8074fd0e, 0xd10b59e7, 0xa58aee3f,
+    0x5fbc3745, 0xb673e823, 0xc7b40ed6, 0x5dc87789, 0x224dcfb2, 0xd07c1bce, 0x8b5373a3, 0xe6ee2a60,
+    0x2aadc0f7, 0x2733957d, 0xd4ce5a8c, 0xf7671d05, 0xf9391b74, 0xd723ed3d, 0x6b064ed4, 0xa95f9e4c,
+    0x92cb03c6, 0xcd068bcc, 0x9c62c5c0, 0x244e13c9, 0x6b58b327, 0x1cb15133, 0x4f33148f, 0xba0a01a8,
+    0x6c6ea837, 0x7cd73ec5, 0x88549927, 0x2582091f, 0x0bc9cf4f, 0xa060a738, 0x402c5b56, 0x631f31b5,
+    0x248bd780, 0x24e4a4aa, 0x10d36192, 0x6f417bba, 0x13b5b8c2, 0xd80e0c1c, 0x31587da6, 0xb9dde119,
+    0x71c2e86c, 0x25271e46, 0x6508b0da, 0x7e6d23a9, 0xa36e728d, 0x95b48205, 0xda4e4a8b, 0x1b954f38,
+    0x21c9f6f6, 0xa6f19478, 0x8d09a12c, 0x93e0134e, 0xc07ee4d5, 0x83e2a06e, 0xc8bc0cc7, 0x56b51420,
+    0x5989ce7e, 0x07e46f77, 0xcf7dbf76, 0x2281798e, 0xf1ce4aff, 0xb4a8a2eb, 0x00b5104c, 0xeb06230f,
+    0x2c415e87, 0x52c2ed8d, 0x835ccea9, 0x62cfc654, 0xa8fbadf0, 0x26637bf3, 0xcbc7d4e6, 0xb1fc95a6,
+    0xd11259eb, 0x92e48d5b, 0x49980f29, 0xb0e1618a, 0x192922f9, 0xb190ae51, 0x10c301d0, 0x90fd866c,
+    0x24c73ae3, 0x5f03c26c, 0x4165cc86, 0x31d52959, 0x1e0251fe, 0x98c733cd, 0xf6517fcd, 0xe1a7c272,
+    0x14515d2c, 0xdc721400, 0xfec88b61, 0x9a002a6c, 0x0725a76b, 0x204a7835, 0xb0860df9, 0xb7733a87,
+    0xcc572deb, 0x3e53026a, 0xfca1b002, 0x33038c09, 0xa5137151, 0x18ee694b, 0x3d0f5c15, 0x5a0a5aa6,
+    0xe9dcc18a, 0xdfbfb1c1, 0x2a043a91, 0x37e1e083, 0xccfa9fd4, 0x0e06ae85, 0x76a2f717, 0x7ea6c74c,
+    0x75288f1f, 0x61fc6213, 0xd8881abc, 0x4db26d56, 0x84b9a983, 0x51e906a9, 0xa9ce81df, 0x584c6c6c,
+    0x117b1a58, 0x7d01c474, 0x94073213, 0xe5a3672f, 0x767b73de, 0xea6e6206, 0x02cac3a2, 0x7f07deae,
+    0x4c2de7df, 0x24482d10, 0x6679b313, 0xbe9f6ed9, 0x986ef5b2, 0xbfc4ee65, 0xb8740a62, 0xbd7f6e7c,
+    0x821b586f, 0xb64b4bbb, 0x4504bd16, 0xfb51f4b9, 0x707e7bfc, 0x9a8897b9, 0x4940a966, 0xd225c465,
+    0x261d93ea, 0xc5043d8b, 0xf3c2cb1f, 0xa869c052, 0x1f826e90, 0xd2ec0d11, 0x8a66442c, 0x86177653,
+    0xc46f61b5, 0xc2aea6bd, 0xc5335e53, 0xa52616ea, 0x44846f46, 0x8673e472, 0xfa7f0ce2, 0xf6d842e7,
+    0x4279a0ae, 0x9d86b5ec, 0x0554dbe7, 0x36ded613, 0x71e04a85, 0x414c47d1, 0xfa8a3a82, 0x659d1671,
+    0x6252c53c, 0xbfca01ec, 0x1dc3faff, 0x3e5c0b37, 0x59311a91, 0x1842fae2, 0xd6a22933, 0x8fd08395,
+    0x871ae3b4, 0x0e328658, 0x2f0d9db5, 0x56c38ec5, 0xd54be19a, 0xe14c5d04, 0x974d7033, 0x48d5f6e3,
+    0x26adc685, 0xbeae92a5, 0xe9e21163, 0x50fc847b, 0xd35955ab, 0x567b11dc, 0x4f1fa1d4, 0x2b03909d,
+    0x56885011, 0x4eae651f, 0xc225aaf5, 0x3563b9d3, 0x9b651320, 0xc2d9059f, 0xdc6b7be3, 0x573361bb,
+    0x5c9474f6, 0xb1054e57, 0x7fed173a, 0x2606dea2, 0x65db0f33, 0x4a4008b2, 0xf409a51c, 0xfce3f840,
+    0xd98cdec0, 0xe2618da3, 0x77db6b79, 0x90e5a57d, 0x1f25ca1e, 0xea09a2b2, 0x8d24c386, 0xc095f790,
+    0x8168d7c8, 0x2daff286, 0xfbbcebbb, 0xee7a50e7, 0xc11c1847, 0x047c556f, 0x90803af4, 0x2f947151,
+    0xbb48427b, 0x9b71bd5b, 0xd3d682ba, 0xfb8d5338, 0x23d9fbd3, 0x8db6eafe, 0x6872e146, 0xe464d893,
+    0x694597d3, 0x8a104c1a, 0x8b2dc172, 0x52480dc3, 0x2672066f, 0xf3bcdbcc, 0x8f227a99, 0x4554cf12,
+    0x1fda2f67, 0x516ffe0d, 0x4a5afb6e, 0xde6670a9, 0x95403a38, 0xc8a79228, 0x59d991f8, 0xf0fc36b9,
+    0x2d3f9f87, 0x7ee6ba4c, 0xb6cda2fc, 0xa5cb5ef9, 0x52dfff11, 0x0fb8e7de, 0x955b22ae, 0xafe2cb71,
+    0x4183ba31, 0xfe113ebc, 0x692c6342, 0xee44e612, 0xbf14af9b, 0xe7b87d30, 0xa00f3c57, 0x552da762,
+    0xd85b4d66, 0x718c4c26, 0xc4f09b32, 0x094a2ff5, 0x4404f323, 0xb7e4c126, 0xbedce0ba, 0xfd642bdd,
+    0xbfc5cb45, 0x0c44cd64, 0x3a11b7fa, 0x5de60cb9, 0x63304a39, 0x1500b673, 0x6b23669c, 0xe450a134,
+    0xff91af5a, 0xda0f7005, 0x475fd733, 0x0205fc4f, 0xa99d2742, 0xaa18b5c4, 0xddc9bfde, 0xe5953a27,
+    0x0a58a0cc, 0x24e3b1c0, 0xf38cc9fa, 0xdfecd68e, 0x8f8c5280, 0x329f26fb, 0xa055fdf7, 0xdf35f3ce,
+    0xd6218e78, 0x897eb753, 0x37dcc6b7, 0x8145a1a0, 0x9dd35323, 0x9ccf3d41, 0xe58a31db, 0xef8b5d18,
+    0x61e09e9c, 0x84d6f234, 0x9b80cb7a, 0x31712ca4, 0x2f7e145f, 0xdf4974b9, 0x16b73808, 0x149fbbe5,
+    0x1864fedb, 0xa59f19c8, 0x60857f79, 0xe2518af5, 0xc3d6d436, 0xb263707a, 0x92c17e13, 0xdd326764,
+    0x1fa632a6, 0xc1f95bfd, 0xc041f23c, 0x9d4367a1, 0xbdb8a4c4, 0x6f3e421b, 0x16ae754e, 0xb300fdda,
+    0xed9cd213, 0x18719598, 0x69b1a552, 0x41eb8218, 0xe09ff216, 0x6800ed46, 0xab828cee, 0x055e1e48,
+    0xdc210c1b, 0x4a52b15a, 0xaf608dcb, 0xb5ec3f23, 0xd4e3ff74, 0x145876af, 0xda68cfa7, 0xf06b0e9e,
+    0x804d23e4, 0x86661bb3, 0xcd38a1c2, 0x852fb5f5, 0x7c381891, 0x0025b574, 0xa1eef98c, 0xd287f9b9,
+    0x73cd2648, 0x1f2fbe93, 0x97bb233c, 0x2c40ae2a, 0xf4a3ccf1, 0x7993c788, 0xf5f9e3f9, 0xaebe81e6,
+    0x81b7335a, 0xd141a5d3, 0xe924fc74, 0x329c9942, 0x5386d672, 0xc21f6f31, 0x71f4791f, 0x3417f634,
+    0x31bccdaf, 0x6bd5d08f, 0xd2fa8ecf, 0x9bfc4c72, 0x9f91ec5c, 0xb4180b03, 0x6152f691, 0x03155dad,
+    0x8135b6f2, 0x1d69f0c6, 0x0fd3f1cb, 0x6dd75a17, 0x7d85e8a0, 0x47f8f3c6, 0x37baf9f2, 0xcc25ee75,
+    0xf2533aa1, 0x9a57a6bb, 0xfeae866e, 0xcc726620, 0xd5ab7ca9, 0x15159a14, 0x9f6012ab, 0x3df107b2,
+    0x318c8def, 0xdedcdd7c, 0x156de65b, 0xfbe661b5, 0xbfee7940, 0x4d32d571, 0x1220c028, 0xb4f8f695,
+    0xe4efbd6f, 0xc4edd6ae, 0x386a2b04, 0x9a3048d8, 0xd766d164, 0xa340e032, 0xd546a00d, 0xf1f053a1,
+    0xddc58fd3, 0xa0b9267d, 0xdcd68b70, 0x1455a0ac, 0x16b3656e, 0xcb2509f7, 0x96fb4de2, 0xb29d60ca,
+    0x7e405c80, 0x8ed3e9b8, 0x55e581df, 0x04869a04, 0x97bdae78, 0x73c9f002, 0x3078c115, 0xfa656139,
+    0xf210b219, 0x91324b02, 0x8d852c2e, 0x7ad6398c, 0x4aca50dd, 0x2db0a840, 0xb1c333ae, 0x458f1be9,
+    0x77d13448, 0x58096765, 0x07b89d38, 0x566fb7e9, 0x816968bf, 0x2b19f893, 0x544b921a, 0x60260e10,
+    0x1400f0ad, 0x77d17973, 0x215fb1ef, 0x54ceaa0b, 0xc886bf71, 0xdf77dc53, 0xeeb86bcc, 0x22d0cf18,
+    0xc0d83d9d, 0xbf2a51cc, 0xfca60cfa, 0x19971dc3, 0x29850424, 0xb4f669fb, 0x49f647e5, 0xb6be0f37,
+    0x7831a56c, 0x214721ca, 0xc728d003, 0xd8bc2957, 0xb0493d84, 0xf41281b1, 0xccb1415d, 0xb4e957c4,
+    0x2b4cdc6e, 0xb13b9f77, 0x4872fc64, 0x6cab7fe3, 0xe21eb54e, 0x3527bf2e, 0x00379247, 0x91508291,
+    0x00e1c015, 0x602248d6, 0x5555f446, 0x345a3955, 0x3291ad12, 0x72b94246, 0xb3d2bf71, 0x1bcdb75a,
+    0xac46e89f, 0xffafb357, 0xa19d79f2, 0xc52c8ab4, 0x756efa6a, 0xab815175, 0xeb08e7f1, 0xca11f3a9,
+    0x6af3b5d3, 0x95652379, 0xf84e96a4, 0xf6e80791, 0xe5a172fb, 0x601a6a07, 0x31b32e05, 0xf42f0ba7,
+    0x41566674, 0x253321b8, 0xe1d2f83f, 0xd7cb7f3a, 0xf4522678, 0x058fe9ee, 0xbaeef3bf, 0x6bff91ca,
+    0x979de39b, 0xe3ee0535, 0x25bd9abb, 0x391a0915, 0x47e3bfcf, 0xdf3cb6c2, 0x4da0b68a, 0x394a30f1,
+    0x1e6ce0b1, 0x0876fd6e, 0x315d4c07, 0x40d6ff12, 0xce4188e0, 0x90892ae2, 0x4dc64c20, 0x5b3ac544,
+    0xde324c9b, 0x181f0792, 0x0a9b773f, 0x6943a123, 0x154755f6, 0xf25e93f3, 0x732f2a7a, 0xbfa6b201,
+    0x90cd6c61, 0x6dab5df9, 0xa2a53a0a, 0x6a79d335, 0xe9974a9a, 0x5a8f3067, 0x5f96102e, 0x32c530c8,
+    0x1e140618, 0xa7b9c838, 0xb9462b5a, 0xb5c52e69, 0x0c269672, 0x5ce361c6, 0xb378644b, 0xf62c7379,
+    0xa15c9b95, 0x0baa6ec3, 0x3a067489, 0x995bc4d7, 0x0eb10b19, 0xaa4779c0, 0x756805ec, 0xca6d1e74,
+    0x57baa91b, 0x26429dc6, 0x16882c93, 0xac3da988, 0xf98808d1, 0xf67d1df6, 0x66c2a496, 0x17c9ce6b,
+    0xb14199d4, 0xcafe0ab0, 0x6caa7671, 0x67c5cf3a, 0x87f8da01, 0x50ce344b, 0xc0939db0, 0xbfe44224,
+    0xf94b3723, 0x511900e5, 0xae5f8364, 0x4b95e779, 0xffb8bf21, 0xca215e08, 0x776fe2b2, 0x151273ec,
+    0xd64f82e1, 0x774e2bec, 0xb0252c6c, 0xda38fbb3, 0x04ffdc7b, 0x4341108f, 0xde45b3e2, 0x436bb11f,
+    0xa7a03cc7, 0x7d4f1e75, 0xe3504a9a, 0xca811732, 0x21fa734f, 0x2694f1de, 0xe4390b3d, 0x6854c9f7,
+    0x5981058f, 0x98d013bf, 0xe73abca6, 0x14e07df7, 0x8bb22a53, 0xb773181f, 0xeaf7ccf5, 0xaab4992d,
+    0x1a40089e, 0xe4572d65, 0xa74c2f13, 0xd50afb71, 0xda4c42e2, 0x7d90ce86, 0x3baf9619, 0xf4b1b582,
+    0xd9d054a1, 0x7c279e8a, 0x4e493eaf, 0x3bb4bff4, 0xfd6b34b8, 0xacd8648e, 0x2c12a327, 0x24d21a8f,
+    0x676f4e2d, 0x93de966c, 0x5b77b445, 0x9f4fb8f4, 0x56ffc113, 0x067a25b4, 0xcd4f8e51, 0x987a7078,
+    0x0aa61d14, 0x425b8e09, 0x76087be5, 0x6fc2a49a, 0xdd40cd9a, 0x3662360c, 0x720e66a0, 0xfeaa4878,
+    0xc6bc7805, 0xfe9e9de7, 0x6b03b2f0, 0x7e586d7b, 0x5b176611, 0x569cad53, 0x8b6496ac, 0xe50b4f6e,
+    0x81e56f86, 0xac34a3c4, 0x4c22dad4, 0xeba8de7c, 0x18afd433, 0xdd9ae7e5, 0x03f07eb0, 0xdd16ed57,
+    0x1db8315c, 0xff934f6b, 0x96b71a46, 0x70e3db55, 0x5ecb19cc, 0xfe814514, 0x76b8ad5c, 0x334cb90b,
+    0xe5fd8ad4, 0xf65da064, 0x1ba29e69, 0x2c82eccb, 0x92c19600, 0x0c976917, 0xf8fca39c, 0xf16f8f27,
+    0xcc5bb586, 0x1eab69db, 0x64cab3cf, 0x47f4796a, 0x0ed40630, 0x4627ba8e, 0x67c90b56, 0x55813bdb,
+    0xa8e7631a, 0xef802d47, 0xe04af451, 0xe68e0a30, 0x4f8b04de, 0x1f2e44e5, 0x923783df, 0x499761ce,
+    0x2f7cbb1d, 0xde7c3b31, 0xb2c96541, 0x6dfcae8f, 0xab1403dc, 0x6a3b9950, 0xe6da028c, 0x724584cc,
+    0x67bfc098, 0x170ebb2a, 0xf4e84d62, 0xc7e7be50, 0x4ca4eadb, 0x16e7a1cd, 0x00d45df0, 0x837b1262,
+    0x9ba05810, 0x69c16c6d, 0x0cadd79a, 0x973a299f, 0xa1c20d1c, 0x25bef38d, 0xc8beb3e3, 0xddee4701,
+    0x7ece0ef8, 0x75794be1, 0xf881f55a, 0x992b40b2, 0x3737adcc, 0x094c6713, 0x19f5f4ad, 0x9b396381,
+    0xe8a97715, 0x2676e5f5, 0x57b313b1, 0xa2706dbb, 0x45e24503, 0xbda96157, 0x5f206f79, 0x2f4ea905,
+    0x69e5bdbf, 0xf28b1a7e, 0xa5ae2281, 0xae55a2b3, 0xa4642206, 0x2ac35cf4, 0xc58efced, 0x713557ac,
+    0xcad461fd, 0x07f5ed7b, 0x8df7207c, 0x6e04b356, 0xa288df96, 0x11874702, 0x2ec5d101, 0x2db0394d,
+    0xee5deb56, 0x32a05342, 0x6e426e88, 0x3537abc2, 0x03650f0d, 0xf9e2b18b, 0x71ee5f97, 0xf116c3bb,
+    0x94a86048, 0x13ff581b, 0xc309ad44, 0x265c3f0c, 0x0a9948b7, 0xac71bf3a, 0x0b547b06, 0x71aa9ffe,
+    0x6dd9f0e7, 0x6dd069ef, 0xc568f412, 0x135b30b7, 0x5abea41e, 0x93f87818, 0xe36eae56, 0x9bc114ea,
+    0x3540741c, 0x51dd2a6d, 0xf31f6142, 0x864761f0, 0x4706975a, 0xd160097a, 0xe1d02f98, 0x923d9b5a,
+    0xfb5ed68c, 0x50609c29, 0x991721b5, 0x53220285, 0x43446763, 0xd9b6f19f, 0x967c8af0, 0x7bda3990,
+    0xcaa012c9, 0xcb5311c4, 0xeec1840b, 0x417c94ab, 0x1830ba1c, 0x5bdffdf8, 0xa0a05ea0, 0xa55fc4e3,
+    0x9f1206fb, 0x705f8b57, 0xfd369785, 0xb8e325aa, 0x3c5b2a44, 0x409f4123, 0xcebba287, 0x0e889a36,
+    0x422ca676, 0xe434fc5a, 0x407f6c7d, 0x86842321, 0x5d1b5f99, 0xb515cfeb, 0xec95b917, 0xa6bc7cf7,
+    0xf28d8e1a, 0xc78070f6, 0xd47d6c03, 0x65917322, 0x0c8546ab, 0xad035eb2, 0xf7275ef5, 0xdb085cd4,
+    0xa600e47a, 0x917bdd84, 0xabe9e22a, 0x7630a3ad, 0xf40e602c, 0xec0070b4, 0x1ba3a7b7, 0x53d9153c,
+    0x3ca3f626, 0xddaabbc1, 0xdf228e5e, 0x7c6057fd, 0x81a2e6c9, 0x22c7ccb9, 0x0d930b73, 0xa7e66f6c,
+    0x0cde812d, 0x93f8c6fd, 0x849e800b, 0x4024966e, 0x43ee96f4, 0x1ac4109c, 0x721da5ca, 0x71deec89,
+    0x785ac880, 0x21d7f005, 0xbb16b645, 0xb707679c, 0x24902338, 0x4b9091b1, 0xddc476d6, 0x30835be9,
+    0xf4cfcfdd, 0xd0732968, 0x330eaa42, 0x0f00f5f4, 0x76ca136b, 0x515d2b57, 0xbf4e5c85, 0xcffc2f5c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000155413511\
+                         37805832567355695254588151253139254712417116170014499277911234281641667985408 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784,
+    0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7859, 0xd06650fc,
+    0x00000000,
+    0xf11b8bc8, 0xfc68ee28, 0xd21a1801, 0xeba4d5fc, 0x0855a833, 0xb1621753, 0x822b050a, 0xb1f4c447,
+    0x6407c60e, 0x07bd84ad, 0xe79c7cf4, 0xfc2f1640, 0x3809b32f, 0x1a15558c, 0x1d93a5b2, 0xbfb81d7e,
+    0xcd6357e9, 0x77570ad6, 0x2b7145cf, 0xe9a17dc1, 0xf2d96ab6, 0x8bda2f25, 0xedb73f5c, 0x01779f79,
+    0xef424723, 0x714ecb71, 0xfb382b8a, 0x7e31e256, 0xb06f162e, 0xfc4e3383, 0x51c19fd7, 0xafdf008c,
+    0x31f23221, 0xcbd68e57, 0x33c3cf77, 0x55e16ff1, 0xb81c8ce7, 0x293cb286, 0x5fbd56ce, 0x8d08ade1,
+    0x976e6620, 0x58dc556f, 0xb29cd845, 0x99dbbe0b, 0xdb14d611, 0xf3aad9af, 0x0f2de8e0, 0x5e4f0c38,
+    0x6afa2d11, 0x6796e0e5, 0x949521fc, 0xc5ea2a06, 0x316f6b12, 0xa3893ec0, 0x77171dd7, 0x0bca1a48,
+    0x3d6a758f, 0x7e9eb9eb, 0x61ed1716, 0x034c09bb, 0x12b2599f, 0xe44cebaa, 0x12dca155, 0xe416ba33,
+    0xaf98f1ae, 0x9ba32f44, 0xe2a9cd3a, 0xdffde276, 0x7fe9867e, 0x828c4b80, 0x6e841b26, 0x5d1407b9,
+    0x37bbb94e, 0x80436025, 0x44083b7e, 0xfc8ac715, 0x5d131736, 0xd84d266b, 0xf6f44b0b, 0x6558cd3a,
+    0xd630e9ed, 0xe0273a72, 0xfbc42bb2, 0xf6497825, 0xcb1af624, 0xca84d035, 0x6693e531, 0x8f4ec54a,
+    0xf6346491, 0x3ee4c31c, 0x8e4f9418, 0x184679e9, 0xb98d1772, 0xbc8e626e, 0x265c2439, 0xa062fd42,
+    0x9e1df487, 0xa6b9cc8c, 0x155cc51c, 0x42bcb721, 0x98840bb4, 0x28c021ea, 0x202189c3, 0xe7e0df07,
+    0x59f62a22, 0xa812c942, 0x883e5fad, 0xf74f8c09, 0xcb77a173, 0xa3860f0f, 0x4a053b14, 0xa15eec30,
+    0xf4b372fe, 0x82cb8468, 0x74c0ef77, 0x801be17b, 0x1dd4367e, 0x5df89372, 0x30c8e8d4, 0x2d146620,
+    0x72519a52, 0x4699c76b, 0x9c25ba8e, 0xe7df412e, 0x9527442d, 0xdc29d5e0, 0xd6e025cc, 0xc3c7ea77,
+    0xc2abf07c, 0x235531d6, 0xa9532bbb, 0x7078befd, 0xf339e856, 0xd9ff76bb, 0x2efa3180, 0x84e81e68,
+    0x4ac1b9d2, 0x82416335, 0x5e9f226c, 0xda6dc192, 0x6c367d32, 0x5e06e90c, 0x1949250b, 0xca4155e9,
+    0xd83b7e48, 0xe292beb1, 0x2fa2db3c, 0x2b5e8240, 0x96af3761, 0x751decfe, 0xa5f00b6f, 0x6804515c,
+    0xaf2cf625, 0xd19a6901, 0xad3c4835, 0x678aaf0d, 0x2a344834, 0xaee35b74, 0x0b7b5122, 0xc80abf5b,
+    0x1ea285eb, 0x32bcb989, 0xad69d727, 0x69baa9d6, 0xe6faf457, 0x69d61659, 0xfdb6062e, 0xb18dd235,
+    0xfc0f78ae, 0x028c901b, 0x840b5e1c, 0xf5d1ee90, 0x0f94caf2, 0x5d28d441, 0x52b3a88a, 0x7cdb37dd,
+    0xb06eaadf, 0x252d276f, 0x2abe7ed6, 0x7d91446c, 0x250dc0dc, 0x60203537, 0x7311e607, 0x375876f9,
+    0x2daddfb9, 0x9db3e953, 0xcbf0e263, 0xf6b4adeb, 0x9aceee2e, 0x6ec7dbe7, 0x6f3da501, 0x9508d913,
+    0x11ea111c, 0xdaaeb73b, 0x96e5b204, 0x6a514804, 0xd49e996f, 0x53705a55, 0xde28893b, 0x1fb930c3,
+    0xe230ad1a, 0x8368a2f3, 0xd460f98b, 0x50b9ba81, 0x92fba4f0, 0x554aa55d, 0xec596c1e, 0x7047c3a7,
+    0x187b3c71, 0xe2b6d0be, 0xa181483d, 0x57ae2964, 0xbc17c2a4, 0x8c9d03ec, 0xeba83851, 0x75541fdd,
+    0x1098482f, 0x61fccdce, 0xfc532268, 0x005475ce, 0x3dde15b4, 0x37c20850, 0xe92bc412, 0x4b3ee4d3,
+    0x2743b9a4, 0x2b87cd4d, 0xa3252d24, 0xa6a72398, 0xf09ca0f9, 0x9bf7066d, 0xe47166d0, 0x003ec22f,
+    0x93c8999a, 0x97aaae00, 0x5ab33e33, 0x21d4b07e, 0xe804d5e0, 0xfd6e9fea, 0xe1031d28, 0xa2b93e16,
+    0x719c155f, 0x74ed3870, 0x8be16de4, 0xff353a4a, 0xd008fa6f, 0x2dbf5d2c, 0xede3d71e, 0x89dfed8b,
+    0xe6a91663, 0x36a3f299, 0x6bc32c56, 0x0aeab991, 0xd47e8a04, 0x7e56547c, 0xffdf05f8, 0x3e9c6792,
+    0x4a5be97b, 0xc248bd71, 0x720e6d5d, 0x2109e05f, 0xa7eb8488, 0xb0fa36fe, 0x79184912, 0xbec71746,
+    0x58e989dd, 0xb00842ec, 0xf3d1e966, 0x051ee319, 0xa4ff7603, 0x847b94b4, 0x2992ede8, 0x9212789a,
+    0xaac6f928, 0x32ec1b28, 0x8c42d940, 0x191db751, 0xa6ccf09a, 0x6b849782, 0xa6efc726, 0x98e81679,
+    0x0549b5d8, 0x8d3d96fe, 0x9dde2059, 0xfb7b776c, 0xa2ccb406, 0xc7f90a4b, 0xcc19f59b, 0xf65955bb,
+    0xa3940e8d, 0xbdfb6893, 0x4fefd22b, 0xc3b9e7ab, 0x0fc6a1d4, 0xd97afbf1, 0x4eba6d7c, 0xf57c76d8,
+    0xc3fa3698, 0x3c389453, 0xc97636c9, 0x4ac6a23a, 0x589e1789, 0xec704017, 0x2790bba7, 0x15e7b60a,
+    0xa738c9d2, 0x92ae9861, 0xaeebe915, 0x41ed343c, 0xb69953bb, 0xbbd5c42b, 0x05e06dac, 0x2ec96647,
+    0x63d08996, 0x5e819313, 0x600ac67b, 0xb801e3ad, 0x3f77d679, 0x8f6deee0, 0xe17d5507, 0x427b475e,
+    0xc7fe5083, 0x3b2b7c1d, 0xb0f77089, 0x555f9d11, 0x5e7b0faa, 0xdfe74ee8, 0x3fac767b, 0x1220c54b,
+    0x98477f26, 0xb24abc1b, 0x6d0f07c5, 0x9bd749d7, 0xd58b53b2, 0x227b2bf7, 0xd74ba06f, 0x7683604c,
+    0x292291cc, 0xf3be34a8, 0x71e5bb5d, 0x372b58d7, 0x24834c34, 0x7fe54e47, 0xd62162b7, 0x14be51eb,
+    0x945e7a3f, 0x0eb77610, 0xb23aaa66, 0x5330b805, 0x0bb31319, 0xdcc99a27, 0xbf48041f, 0x8ff2facc,
+    0x1486cba2, 0xcccd4460, 0xea0e606d, 0x04df2177, 0x12f79596, 0x2f9d0061, 0x0695343a, 0x8346694b,
+    0x7f61df00, 0x07335bff, 0xefe6e54f, 0x7fb9194a, 0xe2b8721b, 0x9bef0343, 0xe542c455, 0x46538e67,
+    0x5539110b, 0xbf228b4a, 0x4735f7c2, 0xad5939ee, 0x70ffc3cd, 0xaec653cd, 0xaddabd05, 0xe78c92b2,
+    0x14d4ae92, 0x7f8972c4, 0x125f3737, 0x85711f6f, 0x906d28eb, 0xc0876961, 0x79d1e263, 0x0763f3a5,
+    0xee61a1a4, 0xc9aed2ae, 0x35faeb96, 0x168a6ee3, 0x8e5f933c, 0x86c0d8ff, 0x968f7796, 0x038ce45b,
+    0x382a27d3, 0xe598f8d9, 0x19c26356, 0x097fa36f, 0xd0236966, 0xdfb9992c, 0x7fdebd34, 0xecfdba2b,
+    0xd7c22df7, 0xabd1e8dd, 0xb70ffc22, 0x1c2840e0, 0xf74fd106, 0xcbe95f4a, 0x81b349b3, 0xa3c8f95c,
+    0xccaa7503, 0x72d8736e, 0x5b1ce545, 0xebb9a0f8, 0xbf0c2542, 0xd2d760e4, 0x60223d04, 0xa7315ccb,
+    0x7c6661a6, 0x7db9246b, 0x63175181, 0x25b1db8d, 0x5d702be0, 0x086b61c3, 0x3d69b453, 0xfffeae21,
+    0xa40eb33a, 0xb4de8aca, 0x63e7734e, 0x4a744be7, 0x6871bd49, 0x6f7c46d0, 0x1849e01c, 0x657117dd,
+    0x719eb1ec, 0xe3602bf7, 0xa19d4435, 0xca7ba960, 0xa74ce69c, 0x9e64bd97, 0xaebf146c, 0x838c235e,
+    0x8debdfdc, 0xed627028, 0x22fcbfdf, 0xaaa568a3, 0xbc0fbdc5, 0xc9efcd34, 0x015def24, 0x66b31f9b,
+    0x30369157, 0x9336881f, 0xa2c6d0a9, 0x96987e43, 0xefedcadb, 0xaa76e902, 0xca65429b, 0x8637b34c,
+    0xe0f2a2b3, 0x05b66257, 0xb85454c8, 0xb4172248, 0x159729f9, 0x3dab9231, 0x63b6cd39, 0x6834bc12,
+    0x182e75e9, 0xae1a5d13, 0x3fb30747, 0xa5cda7f8, 0xf5853231, 0x990f4b60, 0x455f43bf, 0xbcb32e0c,
+    0x93ceffc9, 0x461d4398, 0x12a47163, 0xa45ead41, 0xfb23d834, 0xf43c37b5, 0xdda27672, 0x53792913,
+    0xfe756685, 0xf0b311d7, 0x65fe19c2, 0x703c03c3, 0xc464e6b6, 0xf88e61a9, 0x54e3f78a, 0xac8ee38c,
+    0x677a7c79, 0x32246d7b, 0x17b807d5, 0x4789fcd6, 0x41841da9, 0x4ccd621e, 0x4d169179, 0x6d078bb0,
+    0x9b3e7725, 0x74585c7c, 0x47969248, 0xe3710fc5, 0x700248bf, 0x0499176f, 0x96ea40de, 0x29f7353f,
+    0x849b5db2, 0xfaddad15, 0x1ec0f7c8, 0xe066c313, 0x5f97655a, 0x7799cf08, 0xe66bed67, 0xfdfbf23f,
+    0xd9440738, 0x21183cbf, 0xbd7ffaa8, 0x55bc6d71, 0x0f7e461b, 0x385e87e8, 0x9599f9d8, 0xf44af55f,
+    0x637a9f62, 0x60793680, 0xc3b6e9c2, 0x0eb01fbc, 0x721c155d, 0xa407c2d1, 0xfc6ac337, 0x36a117b5,
+    0x79871ca0, 0x23de1655, 0x0b071a03, 0x57d2e66f, 0xd92db0ce, 0x6a27105d, 0x442b8006, 0xa6b3d4b3,
+    0x7fa3617b, 0x885c3913, 0xc706a16e, 0x63bd3c11, 0x2ff539b5, 0x248fe20f, 0x9ca5bd24, 0x60c193db,
+    0x5703dbc4, 0x6b906cdb, 0x0b4802d3, 0x4088aa42, 0xedcdc14e, 0x6d5db9f3, 0x56171f9f, 0xf44cc161,
+    0x4cf8f82f, 0xf7fc9941, 0x1b47a618, 0x18aaf545, 0x65f5f0c3, 0x37e79b66, 0x303ec48b, 0x2dab1c64,
+    0x8882c89a, 0xbda8a16d, 0xacfff80c, 0x823a11d9, 0x1a11b049, 0x911f85ef, 0x9768ec36, 0xa1b5ed04,
+    0xee8ff839, 0x1f1538fe, 0xc8e1c863, 0x54b0ab4b, 0xa4b03939, 0x34b611ec, 0x921ab06d, 0x78b07e93,
+    0xe5834941, 0x85f1c94a, 0x4c4b3240, 0x7e53cba3, 0xa7625e83, 0xb4c2c54b, 0xcec1130b, 0x3985a5ae,
+    0x1ddc197b, 0xcfa68236, 0x5b639acc, 0xc3372540, 0xc2f17e24, 0x25bb1dc1, 0x989140ce, 0xd7c72a1c,
+    0x7cf4c32e, 0x720f9d58, 0xcc798685, 0xee9f68c5, 0x3f4531a7, 0x220d5726, 0x1392c74f, 0x92530939,
+    0xe0c5dcdb, 0x0b1e7901, 0xdc4600ff, 0xc398f1fc, 0x81e3d067, 0x8c8f8831, 0x66015e13, 0x49eccb7e,
+    0x5dca6e6a, 0xa9aab0d5, 0xeee3c775, 0x1b100b5f, 0xa5195b5c, 0xb959efa7, 0xee9b984e, 0x5f88b939,
+    0x810da96a, 0x94c86568, 0xf550c3bf, 0xe5af237f, 0x29057f6b, 0x845209d3, 0xcbd49d35, 0x0939be3b,
+    0x9948bdf2, 0x4379ad8a, 0x58bd227a, 0x91d4e9cd, 0xd4f31765, 0x256634ba, 0xf5dccaf0, 0xbfb51cf8,
+    0x4addfd05, 0x77f0d166, 0x02821e67, 0xb5e7477b, 0x0b800d46, 0x2742b780, 0xf613fc33, 0x19a19a19,
+    0x3d83f97f, 0x0d92d0e8, 0x05a2e27d, 0x76fa1854, 0x135b1e78, 0x9996b43a, 0x50be982e, 0xa052475d,
+    0xb6d11b26, 0xa8f64386, 0x77363c6e, 0x3d3ab72c, 0xbaae065c, 0x672bcab4, 0x9c346faf, 0x61438bc2,
+    0x16d64af5, 0x50b348fd, 0xe32336a7, 0x0ad6dcab, 0x1b9a91ca, 0x0339e9e3, 0xeab4747d, 0x9eb85dc7,
+    0x698c59d7, 0x9e226444, 0xf6714590, 0xbc3847de, 0xfc56e361, 0x445344a8, 0x3c358603, 0x59728842,
+    0x0fd89f58, 0xd14f78b6, 0xff5452ad, 0x4040ae61, 0x4ea5e95b, 0x91677006, 0xf31fa50e, 0xd48e901c,
+    0x979744e0, 0x254bf634, 0xb5a3114d, 0x537c59a3, 0x764559ee, 0x82a3ec61, 0xb7f75cee, 0x7f47e5e0,
+    0xd764aceb, 0x3e05d7bc, 0x0a4af900, 0x1fd51610, 0xf15b44ab, 0x82a0659d, 0x57f2b45c, 0x0b6ec488,
+    0xedac768a, 0x8952767b, 0xec200c5c, 0x0e1977b6, 0x9c7d6cd0, 0x7d23a593, 0xb4247dcb, 0x46343b01,
+    0xb3d1d32d, 0xc1380662, 0x0e2743a5, 0x03774e98, 0x2ab16353, 0x6cdfb73a, 0x5cdd53c0, 0xcda2838d,
+    0x119319b4, 0x7b6c6e37, 0xac1b2870, 0xa908ad0b, 0xb4e401ca, 0x24275a58, 0xaf483574, 0x7b91ac28,
+    0x98f937cc, 0x84e10c7a, 0x2b8beb22, 0xc0f88f25, 0x817166e5, 0x13b06c73, 0xb8b10200, 0x8cce52da,
+    0xeb16274b, 0xd721660e, 0x6d997b38, 0xbade1549, 0xc7042262, 0x02727b47, 0x9e62890a, 0x1d6b90aa,
+    0x62e1c779, 0x258eb72c, 0xb0388d4a, 0xd72ee73f, 0x642cabe7, 0xbdd1172b, 0xc7015c08, 0x5b3f34fa,
+    0xacf0bcb4, 0xcb6f9538, 0xc162329e, 0x3a24329a, 0x35ecd704, 0x1590f0c5, 0x0717aeaa, 0xe096e7dc,
+    0x52707092, 0x86bfd363, 0xf4163913, 0x81598e71, 0x991e2ed3, 0x8d5635c6, 0x678c2c6a, 0x1dd1b28e,
+    0x62f88cbf, 0x06587d45, 0x6ab95eb3, 0x12e6f9dd, 0x4ea4a5e4, 0x7b69244b, 0xef44a747, 0x8afdae76,
+    0x8923f7f3, 0xa43b44be, 0x16295662, 0xa43721ed, 0x42bcb529, 0xed240e86, 0xb91660ac, 0x19542878,
+    0x62140cd1, 0x7d0e376e, 0xd9b1418a, 0x4447642c, 0x6cb45c1d, 0x7c9a0f2e, 0x4b19ee2c, 0x089a8b2b,
+    0x8b1f35ff, 0xc34ea677, 0x50700ca1, 0xdee54ed0, 0xf4f4fcce, 0x2a16e8dd, 0xb00a23f7, 0x230f9980,
+    0x027b4ac3, 0x5889bc6b, 0xde2a6e38, 0x2b62a657, 0x52f7793e, 0x9cbd5864, 0xa19ea4cc, 0xd305438d,
+    0x0e476a90, 0x8a4fa319, 0x62f2984b, 0x44316011, 0x9a70cd88, 0x0d4ee9b8, 0x19382198, 0xa1ec87b8,
+    0xe325b3cd, 0x9651a4dc, 0x3fb8f23b, 0x4b79f4cb, 0x36e3a4ca, 0x8a7a234a, 0xf32a2171, 0xec2e921c,
+    0x1fb6d5d7, 0xaebfd10f, 0x06ea1047, 0x885d9936, 0x7842821e, 0x420ad73a, 0x32dbb348, 0x9650544a,
+    0xf4ed61ff, 0x32c879cc, 0xae04ca3e, 0x0b995f83, 0x80476613, 0x8a8750e3, 0x858b45fc, 0xeb68bb38,
+    0xdf851d14, 0x92b641ee, 0x952df721, 0x51258f7a, 0x1f8b58ab, 0xaf061bee, 0xbf9f4155, 0x08fb4636,
+    0xba275152, 0x947c6726, 0x771a3f20, 0x2acbc341, 0x7534a4dd, 0x97165272, 0x562f70c8, 0x644e3ed5,
+    0x293a2238, 0xa7655cb9, 0x79473efc, 0xcde1faf0, 0x104b8ea0, 0x80926c49, 0xc95b9ea2, 0x308cb670,
+    0xd875aee4, 0xba56ef85, 0xa8b2405d, 0x22919aaa, 0xac19572e, 0x0e58e5da, 0x55340ae3, 0x1609643a,
+    0xd7e05a84, 0x1c30c665, 0xb8232f32, 0x294a48da, 0x698a4cc2, 0xf7058873, 0x2234bfb1, 0x177a192f,
+    0x02e81bd3, 0xa00ff395, 0xfa5e53fb, 0x6259aa08, 0xef5c6dc8, 0x59bbe5f6, 0xa00da33d, 0x7b4a1ea8,
+    0x9ac90b0b, 0x55405f88, 0x92cf83e5, 0x5980d0da, 0xdbf9d95d, 0xca169cf5, 0xc0a0a1ad, 0x738bff34,
+    0xa8182b41, 0x3e34514d, 0x8fdb569f, 0x2a9d9c2c, 0x8899c03a, 0xc20e1c15, 0x07a074fa, 0x677dff83,
+    0xb47413d1, 0x6b411fa3, 0x0bf28555, 0x8bf3da49, 0x6ecce6bd, 0x43bfc879, 0x076ae02e, 0xc6810172,
+    0xa7c0029c, 0x4c3a4f18, 0xc21a3f9b, 0x756fdf8d, 0x832316e4, 0x82569e9e, 0xdfd292c1, 0xbecb4ed1,
+    0xa94cee2d, 0xb4c950bf, 0x594e0fca, 0xb3bdf032, 0xf88dca80, 0x39e4d20d, 0xec29fab5, 0xa1f29efc,
+    0x16c5e383, 0x8eac23eb, 0x62599f67, 0x6728d8ae, 0xc6c38ac1, 0x6018d8c0, 0x83aba487, 0xf39381b6,
+    0xb4c38a11, 0x3035e9be, 0xc13f2549, 0xe63541f5, 0x77043866, 0x6455cd77, 0xd1f857c0, 0x72cc0c0a,
+    0xa8981f11, 0x95b29cfe, 0x26a42569, 0x9c6f500c, 0xcd9b039b, 0x53836d97, 0x66aeb1ba, 0x8587a41d,
+    0x2a708998, 0x949a5282, 0xb28f9305, 0x520da54c, 0x5e21e3cb, 0x2ae52d4f, 0x35a8f52b, 0x3124e54c,
+    0xde83806f, 0xf8b3a92d, 0x199eb387, 0xb1ca4801, 0x6f457210, 0x6d238fd8, 0xe3e6883d, 0x72f27283,
+    0x9679b31b, 0xe292a150, 0xdc22dd9e, 0xf5c7c4c7, 0xd595bc55, 0x46598f1a, 0x0a47ac11, 0x8026b55a,
+    0x255dc7fb, 0xa0d7fa91, 0xd7eea39a, 0x1af5006e, 0x9a681c65, 0xc2c0c9e3, 0x320d26e6, 0x80f07050,
+    0xd78464da, 0xe0a5fa1c, 0xc6b7e247, 0x87ddbfda, 0x35d1a2b9, 0x12b9db2e, 0x08d70226, 0xe3bed899,
+    0x836433c6, 0x03fb1efa, 0xa093bb41, 0x2ea9bb21, 0x317b7511, 0x29ed99fc, 0x7c3e86c2, 0x5f567dfd,
+    0x04179b8a, 0xadeb8907, 0x4ebb572e, 0x4c2971e9, 0xd65b22ca, 0x5b6f4e93, 0xc2c51260, 0xa5d5f894,
+    0x0bd3f825, 0xae150280, 0x8ca70663, 0xa5d4c10e, 0x90055dba, 0xd0e6be08, 0x00cba0f8, 0x9e5a594d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000077706755\
+                         68902916283677847627294075626569627356208558085007249638955617140820833992704 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2,
+    0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2c, 0xe833287d,
+    0x00000000,
+    0xf8713690, 0x65d5922b, 0xd943ae53, 0x8d97794d, 0x5484b789, 0xd073e2bd, 0x19f0f6a9, 0xc5dabaf2,
+    0x78f1aedf, 0x7955e3d7, 0xc7266e3c, 0xb93742fd, 0x23e28737, 0x9f10c936, 0x0ed683c8, 0x2114910b,
+    0x5ad7eb17, 0x3f882a4a, 0xff5e53b9, 0xbd7727a6, 0x0dfccb77, 0xbf2fcab5, 0x0a9eb9a6, 0xe7578ba6,
+    0x8aa9a3be, 0x00d4a0c6, 0xd0e3632f, 0xc7d22b41, 0x746fb768, 0xf90d741c, 0x912649cd, 0x5fcb1ee1,
+    0xb3598c0f, 0x5b5956cf, 0x29e0c931, 0xb0bf3c24, 0x4d8b3a6e, 0x4b3c1280, 0x722680b5, 0x5430e986,
+    0xaa722031, 0x48913a5c, 0xf4459a2a, 0xeefd74e8, 0x56ff1765, 0xc8496852, 0x452839e8, 0x823c42a3,
+    0x1c2f6173, 0x31fce323, 0xf9e5f84d, 0x28d6a43c, 0xfcbaa730, 0xd13052ed, 0xcb53f207, 0xcccd71f9,
+    0xa8ffdeff, 0x527d46a2, 0x7384a4e4, 0xc6a1afa0, 0x54ba40e4, 0x924e2df5, 0x17eed215, 0x00e5820e,
+    0xf9159b20, 0xca101325, 0x6b9c5958, 0xaaf99957, 0x9a024c3d, 0xd60e8191, 0xf3c11c33, 0x758a20ae,
+    0x577b2ae8, 0xb073b905, 0x09627ef5, 0x5ff377f4, 0xf329f289, 0xd53d05e2, 0x0abed47e, 0x7765d5bf,
+    0xfe7ae38d, 0x82d95579, 0xd75ab311, 0xb70afca8, 0x9636117e, 0xf6172619, 0x34846d13, 0x3d967467,
+    0xf12d5ef6, 0xe54fe626, 0xec35890e, 0xfd601c0c, 0xb289e66c, 0x7bb32902, 0xe0ccddb2, 0x4460abc8,
+    0x2b44bef1, 0x5319dc41, 0x65c0134e, 0x51ad4106, 0xb96ee487, 0x946add58, 0x49593ecb, 0xb2717bc3,
+    0xd9aee453, 0x20923c39, 0x4cb36ddd, 0xddae4271, 0x613d20f3, 0xad0bdf14, 0xaa191944, 0x00f11abd,
+    0x03850a43, 0x2a2b60bd, 0xcdd8b9f7, 0x5a4f3749, 0xca420c78, 0xfe867028, 0xf558a510, 0x856dc0c0,
+    0x6405935c, 0x9e79f027, 0xfea1e482, 0x33919762, 0xb4e56579, 0xe429aebf, 0x5d2568cc, 0xf4cf6912,
+    0xebdea6ef, 0xdd79c6e6, 0x00528cd6, 0xf3a80cfd, 0xa3877389, 0x6fd7b03f, 0xa9ccebc7, 0x8a1099b1,
+    0x0aa56335, 0x776c1aac, 0xef4067f7, 0x8ca8089e, 0x4fb5eeb0, 0x660ed4df, 0x78ff7d3b, 0xf41c9b00,
+    0xa07663a3, 0x67bdf848, 0x6c971622, 0x0c3c137e, 0x728afd0f, 0xd0dbbdc4, 0x0ab811a7, 0xeb7a3b65,
+    0x1e8fffd9, 0xc8a5fece, 0x459ff50f, 0xf7a168d5, 0xb19dd002, 0xffa56200, 0xb7acdf4a, 0x0a6ad2c4,
+    0x54b8874c, 0xfbfcbd70, 0x990accac, 0x2a1ed967, 0xbef9578d, 0x40b87897, 0x4016f62b, 0xa01f65e4,
+    0x00549034, 0xd9851236, 0xacab9e7f, 0xc4fe14d7, 0x898b0c68, 0xf43c3bfa, 0xe64bad65, 0xe6058266,
+    0xc818ae9f, 0x72dbd62a, 0xc4fb8547, 0xe97bd166, 0xf8ce3cee, 0x3a76e10e, 0x5bcd9768, 0x76d2c644,
+    0x8159de4c, 0x9c45daec, 0x49bde83c, 0x17770870, 0x7bb4498a, 0x7ad70d6d, 0x9c09610f, 0xa1b99567,
+    0x502179c4, 0xe7b00f3e, 0xc0f9bd6e, 0x5a20ea18, 0x778cc301, 0xd7f07679, 0x8017e951, 0x35a0306b,
+    0x85dbd9e0, 0xb0fe236c, 0xb79a1a85, 0xd7b30135, 0xe1474ab2, 0x95b33803, 0x5490b728, 0x1b1e1dd5,
+    0xdde07710, 0xa69ca033, 0x1e17c66f, 0xe6f50327, 0x2412eb43, 0xf60e1a9f, 0x45b3cc80, 0xdb7dd798,
+    0x85ba9648, 0xb3c4fc5f, 0x27dc9d7f, 0x57657748, 0x6380dc96, 0x33fc71a2, 0xfae161c8, 0x35ef3b78,
+    0x12a16386, 0x6a120678, 0x7d3921ac, 0x3dead4e6, 0x2c2ea59d, 0xa73eaf26, 0x69112cef, 0x58bdf908,
+    0x3c2d5d83, 0x0e009270, 0x3a2dd42e, 0x7e14d3eb, 0xc3245bea, 0x37cf4efc, 0xc5619146, 0x0b14b2d3,
+    0xe0fed911, 0x9aa4bdb0, 0x4432ac9c, 0x1effc11d, 0xfd0cc154, 0xc94b6fae, 0xbb647b65, 0x45ae8c56,
+    0x14676263, 0x843de06d, 0x1bcdb09a, 0x47304bdf, 0x16284cbc, 0x3ce2c97a, 0x1bc6174a, 0x14979d9c,
+    0xb9678ac9, 0xab351abb, 0x468f463a, 0x5aabef2d, 0x76be51de, 0x2575f147, 0x426ab1f1, 0x7baf5c1b,
+    0x1d28d1ac, 0xd3262b57, 0xe300cd31, 0x00af03fe, 0xa7a1d845, 0x267a77a8, 0xee063538, 0xd36e7a1f,
+    0x5731aa5f, 0x01c717f0, 0x300867f9, 0x056ad12e, 0xd1e2a06c, 0x17d315f3, 0x30470043, 0x157bec2a,
+    0xeca36546, 0x90c42aa4, 0xc19cda45, 0x3f051a90, 0x26960e56, 0x060fe5b1, 0x1c0256b4, 0xffdbee3c,
+    0x17ec7736, 0x58134b90, 0x6e83e82f, 0xa01d84ee, 0x5c9e2774, 0x0a1d2d0f, 0x00e07684, 0x9ded04a4,
+    0x3fe64f62, 0x8f798bfb, 0x81f40294, 0x62aa3466, 0xd351a7cf, 0x1dd0f729, 0xbc741d27, 0xf2426321,
+    0x877b0e98, 0x7cb0b3d1, 0xa78566b7, 0x562bb98b, 0x22985c5d, 0xb76e7bff, 0x99cfdc8f, 0x9efb2ca0,
+    0x6c8bc0b7, 0xf5e11550, 0x1bf8871b, 0xa657546a, 0x089ee3ac, 0x71dc01fd, 0xae8d434e, 0x316dd8e8,
+    0x72651a8a, 0x2ffbfe99, 0x2c323fe3, 0x4232f6ea, 0xa09bce24, 0xc78d1b3c, 0xd54127fe, 0x70544cc0,
+    0xe5faa421, 0x3d7998e2, 0xf7354f02, 0x7b9898c2, 0xc5af5276, 0xe48c58d3, 0x386fc9d2, 0x0755963f,
+    0x99e967a1, 0x05662020, 0xef6174d5, 0xecff8ba0, 0x97b6e545, 0x3a8ca9bd, 0xff738cc6, 0x4b187173,
+    0x7994a306, 0x0b5dd8c7, 0x7708024f, 0xcb426e93, 0xf57063ff, 0x04b66df6, 0x314f7f25, 0x06d756dd,
+    0xa5ef9df5, 0x516c0eef, 0x60da2b1f, 0x0770357e, 0x51a8ac19, 0x7fc48945, 0x045ef5d4, 0x110b1202,
+    0x768212cb, 0x4c5c2dff, 0x6b29d35f, 0xa81fdab9, 0xcfc81e5b, 0xbbc4f7e3, 0x567e4e8d, 0x21fa0a99,
+    0xfe877bdf, 0xc48e3603, 0x9fa60b73, 0x58a23c86, 0x93745b8b, 0xdb74dec7, 0xbdb7d28b, 0x8cf52663,
+    0x7479401c, 0xbc3f4b9f, 0xfa018f5b, 0xf4726c37, 0x4a081eb2, 0x70c640ac, 0x5894246b, 0x3e86d5ac,
+    0xcb37d3cf, 0x9a58256c, 0x68ba4e92, 0x5a2c4660, 0xa373d555, 0xee5481b3, 0x76500fb3, 0x4dd04fd1,
+    0x0f82bacb, 0xaeb700a7, 0x92b0ebaa, 0xe032453d, 0xb592d7a4, 0x6f7b9686, 0x77882fe4, 0x106d74e1,
+    0xa1d68638, 0x998545d6, 0x598c2b03, 0x068d4cef, 0x513667ad, 0xc876c8a2, 0x07e34bb3, 0x30435ae1,
+    0x2f9eb808, 0x9d96a1f2, 0xbdc89160, 0xc9888304, 0x5f40d849, 0xaf4dcb17, 0x285aa3bd, 0x802282f5,
+    0xda7c86a1, 0xb4c28ea7, 0x7407eb79, 0xe0d251bb, 0xf7169381, 0x057c465e, 0xd0e85215, 0x6bebba85,
+    0x8dfec1af, 0xc5d73737, 0xa7a22308, 0xc3593a7c, 0x1b0d92e8, 0xb50a1df3, 0x03b02265, 0x596ce2fa,
+    0xd8a6d6ff, 0x73f1e2bf, 0x3a681fe6, 0x55a94ba3, 0x6e004cb3, 0x67ed997d, 0xb7c3a3fe, 0x34480b3b,
+    0x4123fe43, 0x40826bf8, 0x96a0f2b3, 0x89810b99, 0xda16938e, 0x9479afd4, 0xce0f88a1, 0x3de360f2,
+    0xb1d5d9a2, 0xfe928855, 0xda707d01, 0x8072b874, 0x173393d6, 0x6156c69f, 0xec1ed96e, 0x20b05738,
+    0x7b18641b, 0xe02ad7f7, 0x6dce7ee8, 0xaf519b70, 0x5b877950, 0x03ea0355, 0x6fb43c5f, 0x43041fd1,
+    0x2e09235d, 0x0f72301a, 0x78b40565, 0xbe9cf916, 0x0b04ff41, 0xf4bc23ed, 0x5049e5b7, 0xa04f0dae,
+    0x41d0e663, 0x40890ae7, 0x714e25d2, 0xe16454f7, 0x5b8e11fb, 0x1ddd4d55, 0x992229b1, 0x70db54a3,
+    0x2ed6419d, 0x2de8e067, 0x5f201daa, 0x12364aa1, 0xe4b64dbe, 0x1f22cb0f, 0x1299e248, 0x625601de,
+    0x87ac5319, 0xe761ecbb, 0xf4cc428c, 0xe6c28e31, 0x1db02bbd, 0x824af3ad, 0xc1ab83d2, 0x9048ee90,
+    0xe0604506, 0xc81f2680, 0x4ecfb6ab, 0xded34ccc, 0xc6acc0ed, 0xf0a2a01f, 0xc600570a, 0x36ac4c9c,
+    0xbf267e8d, 0x0886e135, 0xeb77fa9b, 0x0dec5476, 0x52edfce0, 0x1ae343ac, 0x8bdbb310, 0x5d254a2f,
+    0xe4acbd91, 0xc31d3ff9, 0x056a09f1, 0xc8ed2852, 0xa4bc9745, 0x99dc8980, 0xc7ad0711, 0xa09b9b85,
+    0x29e50d19, 0x9a0c8937, 0x219bc592, 0xacbff948, 0xd61a35e5, 0x3190bed6, 0x51bc8f2d, 0xac8adbd5,
+    0x58d68173, 0xcaaf250d, 0x92d3a1cc, 0x5e54c3ab, 0xf3ac3484, 0xbb5b6441, 0x23bbb7c6, 0x86f49b1f,
+    0xe0043772, 0x48e6d336, 0x659f9f8f, 0x960ac09d, 0xd0a7886a, 0xbf025017, 0x92aa0cd4, 0x6e67db1b,
+    0x5252a8f8, 0x3f1d8c79, 0x483bf4e6, 0xb6d2f594, 0xa5a65c6e, 0xee24deda, 0x18ed378a, 0xac49fef5,
+    0xfbc77dcc, 0x9daf525d, 0x561ccd5c, 0xbffb9072, 0xe6bf0b3d, 0x0e809f0c, 0x249ec6a9, 0x25833bd8,
+    0xf0d0f051, 0x96f880af, 0x22c0f33a, 0x4715bb5a, 0x6cf9ff58, 0x05ad53c3, 0x8b267794, 0x00c78be8,
+    0xaa82962a, 0x3fc5cdf1, 0xc514a367, 0x37d3d914, 0x1365688f, 0xdd9d2592, 0x3417d843, 0xcf0c4ee9,
+    0xa8b342f9, 0x144a4ef0, 0x08c1061a, 0xdad4d20b, 0x3f20e918, 0x7a77335d, 0x95cd6f9a, 0x5c2e655e,
+    0x162602dc, 0x3f6d05a5, 0xbe15ee4f, 0xaee40335, 0x682ad0e9, 0xab7e831b, 0x15332449, 0x21adcada,
+    0x4e5f53db, 0x5ad8d6b3, 0x004e399c, 0x08e767b1, 0x90c2003b, 0xfe08648f, 0x41e2dcee, 0xda475497,
+    0x1e79b019, 0x8ebe8030, 0xfc607213, 0x16e1def7, 0x74b2ef0a, 0xb6e77f82, 0x5bc523fc, 0x60f09d62,
+    0x1ab01e77, 0x3175dffd, 0x62f0f622, 0x4ba85d63, 0x3e4c34ec, 0x7171c83f, 0x67f9cfad, 0xde1334f8,
+    0xb6cc7c15, 0xe1860e8e, 0x5eff798d, 0xd53d65c0, 0xc6397ffc, 0xc2b07f6c, 0xd0097e3f, 0xa4e24e03,
+    0xff4bcf8f, 0xbf313d7c, 0x3c97a74a, 0x3296b025, 0xa2a43f80, 0x9cedec7e, 0x75025aab, 0x3e698292,
+    0x38cdcbf4, 0xb2b64186, 0x2a530692, 0x194f5079, 0xfb44b6c9, 0xac4cb2e5, 0x9e28a4d7, 0x9f975ff1,
+    0x7d726281, 0x2a57f5c1, 0x878c2812, 0x45045585, 0xb91a04fe, 0xd71417b8, 0x22798d00, 0x995cea5d,
+    0x4a847c49, 0xc943c7aa, 0x77772858, 0xf7f671d5, 0x30994255, 0xdbed1bf2, 0x6e2a3a5c, 0xe6f92f22,
+    0x0f2c5190, 0x70297e94, 0xd8e59e51, 0xc7b07eab, 0x8bddcc5a, 0xd92a2732, 0x99b2915b, 0x52a325e7,
+    0x73c5a59c, 0x401031f7, 0x13bc5d98, 0x30c31ee1, 0x1a7428e2, 0x5b542cb6, 0x06e537f9, 0x08d41b5d,
+    0x4b9eedc8, 0xf1029adb, 0x9b914935, 0x21f61cdc, 0x843fc885, 0x20f41aae, 0x9870d982, 0x1be7f9c1,
+    0xa0965d0d, 0xd403415a, 0xd7f278b9, 0x8be7bd23, 0xf97a2440, 0x6902d323, 0xabdcc1af, 0x31d5bd6a,
+    0x6011fc21, 0x5e17199b, 0xb0eaee57, 0xd9b9fc64, 0x745bb48f, 0x3d9f3fc6, 0x2caa606d, 0x5ad9c30f,
+    0x3d410765, 0xd0ff0be3, 0x5b1d8c9b, 0xf48fdaac, 0x59402193, 0xa3a095b7, 0x605f0278, 0xf8bee099,
+    0xea484cce, 0x610be946, 0x75df9972, 0x3ade12db, 0x87808b1d, 0x8d66bf91, 0x1a3ca7b5, 0xcfbd288d,
+    0x4d7ccf52, 0xc6ed54fb, 0x4ca4e806, 0xfd556472, 0x04805882, 0x2631384f, 0x228bca47, 0xad03764b,
+    0x4dfa9128, 0x097f33be, 0x7af1b8f3, 0xeabb974e, 0x54543f5e, 0x6301f981, 0x983cd56e, 0xf891d3bd,
+    0xa5661aaf, 0x4bb219eb, 0xbcdcc767, 0x95fb196f, 0xf27311ab, 0x29bf1b0e, 0xcd89190d, 0xa9844935,
+    0x65dfa2a8, 0x44d8f420, 0xe43859b7, 0x72298c33, 0xc0052afb, 0x4c4c4c52, 0x54890968, 0x3eaa3e89,
+    0x50b1c1f4, 0xc12868ed, 0xf2b04239, 0xe9e4d758, 0xcd857dd6, 0x1da15589, 0x680f52f0, 0x559028c0,
+    0xc04e937d, 0x96325cdf, 0xcefb9b3c, 0xa2841402, 0xc1d13cb5, 0xaf446fee, 0xebfa083d, 0x2d357ced,
+    0x8581bdc7, 0x62c0f0e3, 0x5ea58297, 0x36ffc075, 0xe0de94d6, 0x13e8f34e, 0xe8c60ec6, 0xf3e6b556,
+    0x0920b345, 0xf5a2a312, 0x0222e472, 0x76d8c20a, 0xfdfbc576, 0xb130301d, 0x79151223, 0xa502e95b,
+    0xdf776d0f, 0x95965a68, 0x4f22fc1b, 0xcfc0a7c9, 0x93980b5c, 0xb10a88b8, 0x04194de0, 0x821229eb,
+    0xdddaafc8, 0x25f593ba, 0xdfdc7de9, 0x3119e6aa, 0x08ffa742, 0x5b58bf7e, 0x8f8b61ea, 0xe86fc53e,
+    0x4a01122a, 0xe124828f, 0x2db58231, 0x0c06d06f, 0xac77df0c, 0x62e5157f, 0x50fd0b17, 0x00558498,
+    0xdeaf622a, 0xbad12b7c, 0x73d3acc6, 0xc7d77dfd, 0x853f7179, 0x0a38cd91, 0xefa04fcb, 0x43b63ea8,
+    0x9c4d62a5, 0x2d698587, 0x116c236a, 0xa2e0a240, 0x8b345eab, 0x52784107, 0x43dc2e64, 0x074c3739,
+    0xae70532e, 0x31eaaba4, 0xc170a3b6, 0xa159d2a0, 0x2ba8f634, 0xd19faa55, 0x3c27b59f, 0x78cc531b,
+    0x439adb49, 0x3d6570e9, 0x74f5dd1c, 0xca61296e, 0x48e4e809, 0xa8a3eb86, 0xd16d4280, 0x97e30a00,
+    0x59867e43, 0x6b09eeb7, 0x09639b6d, 0x9e73b989, 0x4b745033, 0x01070584, 0xa7158b52, 0xb6de3a59,
+    0xccf17e3d, 0xd22ed255, 0x047046e5, 0xcc71d0f3, 0x7cc8f14e, 0x436f49c8, 0x1a1e0317, 0xa719b38c,
+    0x7dcc00b7, 0x931a34aa, 0x2c683575, 0x6d94d79e, 0x353ffced, 0x98c22845, 0x7bce2718, 0xa86a8b4a,
+    0x0c50d8b0, 0x09116763, 0x38852aed, 0x243303f4, 0x0c962f17, 0xd7e56ea8, 0x66780fd2, 0x2430fd22,
+    0xbc31d2bc, 0x5c31c901, 0x4f0e4fbd, 0x57fa60d8, 0x108a8ba2, 0x6d6c2489, 0x9028dfca, 0x46d4b876,
+    0x14f2e35b, 0x5182b184, 0xf1a3fa3b, 0x177aaa81, 0xd23f2114, 0xbf59d42f, 0xdbf22175, 0xac7f6ebf,
+    0xf27c0612, 0xba879c07, 0x2acbe3cf, 0x63a3da35, 0xf48ef29e, 0x2965710b, 0x399351af, 0x3f19d5d7,
+    0x05154bb4, 0x9223a74c, 0xeb7d0f8d, 0x8922254a, 0xa6aad37d, 0x68f1dbed, 0xae9bbb47, 0x82d01220,
+    0x35ef3950, 0xa7ee7c51, 0x87d9714f, 0x4d05f6a4, 0x8c0b5f1c, 0x09ea7727, 0xbfa47893, 0x4fad99c5,
+    0xf4b2baa3, 0x66f0e6e3, 0xa68ef816, 0x827dc3ce, 0x1aca481f, 0xc61e2e11, 0x14f585da, 0x6bedfe50,
+    0x506a2ca1, 0xdfe3e47c, 0x57170dcb, 0x218c1e1f, 0xda6d7358, 0x54d9032f, 0x0d2b87bd, 0x5cd530e3,
+    0xdf657e8b, 0xf19612dd, 0x525a1cd0, 0xea018607, 0x47686045, 0xd9205d36, 0xd3635a13, 0x678fab53,
+    0x365f9cf4, 0x1afba751, 0xd5db0825, 0xba79f1d3, 0x55242e5a, 0x12302149, 0x0e306412, 0x40c23fb8,
+    0x200ce8f4, 0xd810ac5b, 0xd0795f8b, 0xd0a5c6ca, 0xd1102e1a, 0x11734d37, 0xeb462aaf, 0xd8a20686,
+    0x315c30bc, 0x92a9b358, 0x20d781dd, 0xf7b5f275, 0xe1f9e075, 0x55ac67a4, 0xe24e4851, 0xa3bf9976,
+    0x05e9faaa, 0x42386af6, 0x4fef3449, 0x2595fddc, 0x95efb87a, 0x469297b3, 0x1d6a787e, 0x72b298db,
+    0xfd27dfea, 0x020baa03, 0x83760118, 0x113c2737, 0x7d037b91, 0x94bdf1ec, 0x2369dd4c, 0x1d38abe8,
+    0x1cd20e70, 0xb903bb14, 0x579675a8, 0x98c93c7a, 0xd786203d, 0x8f156ec5, 0x8ffa7790, 0xff7d5471,
+    0xeed321fd, 0x04379270, 0x3049b125, 0xb94e3dfd, 0x2dc2ad48, 0x1237cafa, 0xfc0617a7, 0x8f26436d,
+    0xb4d26018, 0xdbbe3621, 0x3ba48af3, 0xae4de7bf, 0x0ede271c, 0x6cc5881a, 0xbde24077, 0x3e9f2fa7,
+    0x1ba290c9, 0x9dd366ac, 0x725ab8f4, 0xf29a0cce, 0x0661a22c, 0x51fa25c9, 0x1c36be39, 0x12993304,
+    0x78b86139, 0x2853446e, 0x53588c82, 0x4ebfd1c9, 0x2471b755, 0xaf6d0a34, 0x14178ee3, 0x00274975,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000038853377\
+                         84451458141838923813647037813284813678104279042503624819477808570410416996352 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1,
+    0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e16, 0x7419943e,
+    0x00000000,
+    0xb253c660, 0x55608d0f, 0x12883cf4, 0x2302a80f, 0xfc7eca2a, 0xc4207fd9, 0x4ce442f5, 0x06d37ef5,
+    0x28adcc1f, 0xc41ecc1e, 0x7200acff, 0x3c8ad32a, 0x07fac21a, 0xa2c154d0, 0x01e616bd, 0x743ae136,
+    0x7da2b392, 0x7c371069, 0x99c729eb, 0x813a1a90, 0xe23a486f, 0xb55bd9bf, 0xafdb2fb9, 0x0b9976b8,
+    0x3d0a05b9, 0xc44c4a18, 0xd709bcaf, 0xc3a39025, 0x9c9cabcd, 0xd7aac4a8, 0x986400ae, 0xf8200b04,
+    0x387b646a, 0xfd645926, 0x42109b5b, 0xf93f638c, 0xd0ab67de, 0xcb649c9d, 0x6023f872, 0x272f2f53,
+    0xbdb13f56, 0x2e25f39d, 0x831b96c0, 0x3b19838c, 0xdae8da19, 0x8a87d7a6, 0xb5297460, 0x652b63db,
+    0x9c86d273, 0xe76009a7, 0xc74e59ff, 0x9410f071, 0x30c5b582, 0x99f7e632, 0x63046de5, 0xadf65428,
+    0xc8ad5f38, 0x56aead2d, 0x7ce9ca3b, 0x9ea119ae, 0x3b6f1d87, 0x1e6be02b, 0x6011de51, 0xc724134e,
+    0x305ee675, 0x927ebac1, 0x87416b6b, 0x56afb9d4, 0x9d88d925, 0x41a98779, 0x11e6477e, 0x7dab2d01,
+    0xd9cc5721, 0xa2fb6a1a, 0x83e34451, 0x06ae3204, 0x853bcf96, 0x310c3af9, 0xe29aef9f, 0x1e2a55e9,
+    0xd64f34ce, 0xa16944bc, 0x7d42a678, 0xc77613f9, 0x0c44eb28, 0x0ae20a21, 0x65eaf752, 0x2580805f,
+    0x4f5ee7d0, 0xd00e27d2, 0xcd4a42c4, 0xd11e0196, 0xb3970d5a, 0x1f8aee90, 0xe595874f, 0x338eaa1a,
+    0x08652077, 0x8818511f, 0xbda08a59, 0x56c6ea08, 0x1083ba6b, 0x247c23c7, 0xc05a1dba, 0xad47d670,
+    0xf0addfbe, 0x6913cdcd, 0x57fa459d, 0xd22664f4, 0xd1dc2c05, 0xcef3e652, 0x565b5c96, 0x6db149ea,
+    0xaa3fc419, 0x8fbf5a6a, 0x3a7b5dee, 0x9db03863, 0xeacb9a54, 0x38d3cca1, 0xad79267a, 0xe2a2bf6b,
+    0xb5ab7d33, 0x331ce62c, 0xa06c7ac7, 0xcc1318ad, 0xf0102509, 0x06c88832, 0x7344072a, 0x4de1f998,
+    0xac82f538, 0x41614ee8, 0xaf09a0b2, 0x29e79447, 0xdad5d2c0, 0x3fca9f5c, 0xafdd0caa, 0x63b181b1,
+    0x94a2e7ef, 0x5d0b10ba, 0xda880e4c, 0x5fe0381e, 0x89e4b916, 0xd7af23d0, 0xe238fe9a, 0x9316b221,
+    0x5f1149c8, 0xc664ab43, 0x5be1ba9a, 0xba8f7d78, 0x215b7d82, 0x4c13ae71, 0xbfc9c71f, 0x0452e81f,
+    0x6d5a22a9, 0x32430103, 0x66a8098a, 0xf40b5b79, 0x56409822, 0x5b462e55, 0x612a7116, 0xec5ecaae,
+    0x56d1b0b3, 0xa7052d9e, 0x7304dae8, 0x0493f347, 0x10b643d1, 0xc8e693d8, 0x2711a9bf, 0xc0e0437e,
+    0x7ee9eb51, 0xbf6d0c27, 0x5473392a, 0x44bdb88f, 0x0bf11e2e, 0xabd0c6d3, 0x0b6f3e64, 0x1b6d7dd3,
+    0xf77a2bac, 0xf407b1ad, 0x202f3038, 0xf6c30be5, 0xa40b1a15, 0x10f919a3, 0x0cf826ea, 0x9b2c5f26,
+    0xc6742722, 0xbadba083, 0xb13b251b, 0xe39602c0, 0x086f423c, 0x1239056a, 0x654c0963, 0x6a10c855,
+    0xe12a9c19, 0xb3dfd17e, 0x54e32ee3, 0xf9997f29, 0x17de6720, 0xfc25be60, 0xab1cc1fd, 0x234d6fa9,
+    0x62d13c1d, 0x66cf9a78, 0xcf03d966, 0x9fa0c32f, 0xd4a74459, 0x3212142e, 0x2fce6342, 0xa6d26be8,
+    0x720fcba9, 0x98343996, 0x373e7a07, 0xdaa8251c, 0xc291cd82, 0xebb06393, 0x28a235cb, 0x28219333,
+    0xa20c5121, 0x554d8bf1, 0x320db21a, 0xcad71984, 0x679f5f42, 0xbe44646d, 0xc93f5f05, 0x135ccedd,
+    0xd0ef9fda, 0x86080fe4, 0x703c8bcd, 0x40bbc11c, 0xd2f10bc3, 0x31bd6e52, 0x116bb061, 0x9fca8a8f,
+    0x7ed4c9a5, 0xc0bd273d, 0x1749d866, 0xcced7191, 0x57ac863d, 0xbcf02afe, 0x2b174243, 0xe45f7058,
+    0xed190932, 0xaabf62c5, 0xff91ca3c, 0x235d23df, 0x21ba449d, 0xac2601a6, 0xc6ff8a19, 0xef1b3eea,
+    0x69ea72b3, 0x0146e21c, 0x21147b1f, 0xc2110289, 0xe139706d, 0x339eead9, 0x984fb356, 0xb925df2c,
+    0x7de80974, 0x34d084c4, 0xe1222f05, 0x74e95a51, 0x74a36bf8, 0x29a7b7a5, 0x9d3c7880, 0xda997fc1,
+    0x1362fc06, 0xd6986977, 0x57ce976e, 0x117bd0e6, 0x3d229b69, 0x62d835e6, 0x41a08942, 0x9326c80b,
+    0x9df0bb13, 0x4a65463d, 0x3e501409, 0xda9d0cb8, 0xb772e2ee, 0x434cc242, 0x5a487e27, 0x818af2af,
+    0x5d5fe71b, 0x3e3f2ac4, 0x07c555ff, 0x9ca6df45, 0x4130c5b5, 0x1a2aa0ff, 0x8f190425, 0xae1f576d,
+    0xa59c7012, 0x61969b0c, 0x23bc32ac, 0xb2b2d96f, 0x16f94ee1, 0x01fe0ab6, 0x72cc9fcb, 0x90b7692c,
+    0x5136a72e, 0x32e1fb93, 0xc5f7985c, 0xfab77f64, 0x76facb6e, 0x1df4b06c, 0xdfddbc8a, 0xfcae5be1,
+    0x670ba061, 0x24997c50, 0x06bbcfb8, 0x27cd9082, 0xd81fa9af, 0x4dbfc4fe, 0x2190800a, 0x4eafbd93,
+    0xce3cfee3, 0x74438681, 0x5867cb8e, 0x4538b911, 0x104a6cec, 0x04022b99, 0xf9cccabd, 0xda199bac,
+    0x352c2d6e, 0xc686684c, 0x26ee37c6, 0x8e3b5322, 0x79b03e8e, 0x00a06a27, 0xabc1c311, 0xd1114170,
+    0x40542b9c, 0x22a84a61, 0x62a0366b, 0xf35045b8, 0x520e24b7, 0x5862d784, 0x0c8ce92f, 0xea3a723d,
+    0xf42763f5, 0xfd15cd63, 0x3b4996e1, 0x9b86b6fb, 0x99766d3a, 0xbb1b2348, 0x5de7962a, 0xfccd7150,
+    0x3ae5bd4e, 0x1a52b8e0, 0xa707c72c, 0x4532264b, 0x1cc3c49d, 0x61d92f8e, 0xd2a1a21c, 0x751c8f9f,
+    0x214adb28, 0xd2957ddd, 0x9ce6916a, 0xac0c73b1, 0x1efe7327, 0x764e6980, 0x55e955e3, 0x1db11ec1,
+    0x872854e6, 0x70d173ea, 0xfbfa0a74, 0x0cff4df7, 0x67bce045, 0xdaf5919a, 0x8b969804, 0x76505e1f,
+    0x94c53162, 0x1053da3d, 0x75121ce0, 0x3ee79af6, 0x6a0ed639, 0xc72cb4e9, 0x8ca1f532, 0xa80fe642,
+    0xe5ca9d2e, 0xbf615b07, 0xaf58602f, 0xac1883ce, 0xbb02f7fc, 0x4f9936e2, 0xca40d6c2, 0x9c11a7b0,
+    0x1969ddff, 0x3bb8d54e, 0x9120e836, 0x5fcb24e0, 0x826c1580, 0x47aef99f, 0xf80dec3a, 0x5e484fdc,
+    0x2f1c197e, 0x4d03db6f, 0x7b17d4e6, 0x8c571195, 0x82639e90, 0x828e2d6b, 0x3cab0533, 0xb9f4d29a,
+    0x328413d5, 0x450e5825, 0xc32665c9, 0x4f5e4ff6, 0xb15edc83, 0xc4b8e801, 0xe46f99c9, 0x53ad5704,
+    0x8bbb15f2, 0xdf349f28, 0x3790cce1, 0xd067983a, 0xdb0a1e5d, 0x0a89ad7e, 0xc20f2470, 0xd3c67a53,
+    0xda2894d2, 0x39283cea, 0x585823b0, 0xe762fd47, 0x8042f4cc, 0x32f90ac1, 0x1c617c1d, 0xf016b8b6,
+    0x4da1328c, 0xc80c3bcd, 0xb3924133, 0xd643200e, 0x4d0235b6, 0x76a8f667, 0x3ed6b54e, 0x63903cb5,
+    0x74668ba6, 0x90efe234, 0xfc5ab2af, 0x1676ec9c, 0x19d26a58, 0xcbbfd211, 0x4073c27d, 0xfdf0d08f,
+    0x8aaf9c07, 0x44f5745a, 0x15e22d15, 0xcb990d8e, 0xf3f7fa5e, 0x2ca2bda9, 0x00807394, 0x63d46db5,
+    0xa1868b35, 0x6b4f3a95, 0xe934de19, 0xc3c10f2d, 0x1e51d673, 0xbb067991, 0x9c50d7d9, 0xa2e3a59d,
+    0x423aaeb0, 0x12bd6f0f, 0x61309ee2, 0xd9ce4648, 0x411d481b, 0xde68e5f8, 0xedb08ef2, 0x32b6c085,
+    0xc32891df, 0xb10be130, 0x69c34f30, 0x86075885, 0x299fce00, 0x0cf4970b, 0xa574af25, 0xe600c061,
+    0x257612da, 0xde60047c, 0xf3a4fe15, 0x91dc8028, 0xbc00f417, 0x507c15d5, 0x3aec192c, 0x6115ea2a,
+    0x1259bb76, 0xb96b313d, 0x75e5f9e4, 0xd86432d7, 0xd2c6650f, 0x7f8815d5, 0x5a5c7b72, 0x47607ea7,
+    0xc17e7100, 0xf547ab5f, 0x2fb72bef, 0xea342b01, 0x7f29faa1, 0xc405a8a5, 0x5f2fa0c4, 0x50a222e5,
+    0x83ab8f46, 0x97f64cbd, 0xb3352b27, 0x3a20fbdc, 0xca3c1c70, 0x1347a669, 0x6aebf3b7, 0xab7437fa,
+    0xf749d72b, 0xa3bb9eeb, 0xa4c42916, 0x6bd39d82, 0xcbaa983a, 0xe576e336, 0x447544e3, 0x250bf1ec,
+    0xc77811e9, 0xe8f7efc9, 0x62d4d72a, 0x9647432f, 0x2a790872, 0xdbcd3245, 0xe98ce44d, 0x7216dc20,
+    0x8b86fb95, 0x393cf5a0, 0x117fc5f2, 0xaa9f730f, 0x6e8c246b, 0xeca59f10, 0x6989ee5d, 0xcb2cd83c,
+    0xf550535b, 0x2d86005d, 0xc1c96a67, 0x9876a8ce, 0xf1385344, 0x2ebb77cb, 0x27d243fd, 0xd3ce0b42,
+    0x4692cfca, 0x0c401309, 0x2eadce97, 0x99955815, 0xff31621e, 0x89a8ab58, 0x5e7fbabd, 0x3a5ef35b,
+    0x47001525, 0x7b9a6e3b, 0xc2405593, 0xf25037bf, 0xd34540d3, 0x9e96cae2, 0x90a38beb, 0x07f5cbf6,
+    0xec9fd88b, 0x22607c8d, 0xf7a92278, 0x87cb770c, 0x28b97c83, 0x65491f6b, 0x224c033d, 0xb1c30962,
+    0x018c0560, 0x1edad8f4, 0x9230b080, 0xdcfee8d9, 0x639104bd, 0x1b80f1f1, 0x39901668, 0x2c89a0cd,
+    0xb5a0ed16, 0xd8d90b5b, 0xa12db877, 0xf85ccad7, 0x82a569bb, 0xb31bf19a, 0x213bfd06, 0x56462141,
+    0xff39cb3b, 0xdac6233a, 0xe9bc221c, 0x9684f752, 0xe70cf32c, 0xc8823582, 0x842e4dd7, 0x1ccc6914,
+    0x4092a1f3, 0xb80cec1e, 0xe33995e5, 0x2da0d35a, 0x7aaf3dd3, 0x0ff05b75, 0xd1be140f, 0x95f74e3e,
+    0x415f00ca, 0xfe6a5a45, 0xdd6eab19, 0x980c1243, 0xdbed3870, 0x5110342b, 0xc49f35d4, 0x41b2c8db,
+    0x8c98ea29, 0xe6353bf1, 0x029bf6b3, 0x3dd71881, 0xfb91d3e4, 0xec20286f, 0xe7a4bb38, 0x88e0f366,
+    0xe79786c3, 0xa22daada, 0x8d02fade, 0x257165bb, 0xc0f1a9e7, 0xe689096f, 0x75e5b6e2, 0xbe57f061,
+    0x040c1203, 0xc347aa03, 0x0d16532a, 0xe09deb0c, 0xa22cd111, 0x5b38d7c0, 0x94951c0d, 0x450cece2,
+    0x24818164, 0x9e6d5f9a, 0xe7fe76c1, 0xd44c29e3, 0x089350c2, 0x3d76e6e7, 0xadff9595, 0xde679beb,
+    0x85ce98b1, 0xe7d66b14, 0x27e7e22c, 0x43583745, 0xe6d3f843, 0xb54cb0a2, 0x4d820585, 0x81d722fe,
+    0x96bf6b85, 0x845dccef, 0x28424d73, 0x985783ed, 0x4fc3c28e, 0xe0ec7ea0, 0x878c73aa, 0xd96e5702,
+    0x75d3b45e, 0x5b079320, 0x6668768f, 0x077732c0, 0xa095caee, 0xffa272a6, 0x9b408f3d, 0x68d6b9f3,
+    0x6fd398b5, 0x3f460b3c, 0x3849a33a, 0x571bdd5d, 0x50962eda, 0x0007f1f5, 0x21891129, 0x4b3dcd92,
+    0x4d92e8b3, 0x86f02a70, 0xcf7ab482, 0xd8df5180, 0x1eaaa8dd, 0xc11f9fb8, 0x492d7391, 0xa4e2f8bb,
+    0x80788367, 0xa5e1a37e, 0x7887bc72, 0xe43df701, 0xd51dcd3b, 0xf497e007, 0x17d5b639, 0x8b3e6bdd,
+    0xcef0a8d8, 0x68721ecd, 0x9639ad10, 0xea93a071, 0x179a2eba, 0xf2ceb148, 0xaed97494, 0xfaeed476,
+    0xd76607f7, 0xd1436b2f, 0xbfd8e143, 0x9059d707, 0x279d00cf, 0xaa8ea386, 0x6b077823, 0xd12007fc,
+    0xeecc9685, 0xaa6f8485, 0xef126c41, 0xdb8833fe, 0xf5b6cdbf, 0xdfa49985, 0x44bfb43b, 0xffa88938,
+    0xe6d8d025, 0x9d4739a1, 0x78e3c09b, 0x60b91e85, 0x48baaba5, 0xfafbc1b4, 0x1ffcbf7c, 0xa242c8ef,
+    0xeb7ab102, 0xd0d596df, 0x5f13d1b9, 0x50fa5a62, 0xe0e692fd, 0xfd80dcd1, 0x9dfb4499, 0x57b4afea,
+    0x0faa9716, 0x91ccc8f7, 0xc2bdbedf, 0x0f829f21, 0xccfd80e3, 0x8900e646, 0x64518bee, 0x8a78a80e,
+    0x5c813e7c, 0x638e393b, 0x5b85e489, 0xf3394306, 0x5d499c57, 0x7db8c22c, 0x46c83e8c, 0x4ff6e2af,
+    0xe8677137, 0xcbf38c5d, 0x2c4a1731, 0x7e730163, 0x2284b69a, 0x9427abea, 0x1f22ebab, 0x0159513c,
+    0x1ab942b1, 0x03ebfee0, 0x3546682b, 0x1637b9b5, 0xd44993ea, 0x51439df8, 0xcc1f3579, 0xafde53f3,
+    0x98d23b87, 0x19a37925, 0xe10c61de, 0xf5c41a88, 0xacc8c4cc, 0x6f074d56, 0x38103bc2, 0xb0a7720f,
+    0xa63419f5, 0x48d0f8b0, 0x41cff70e, 0x0d92cb16, 0x846359c2, 0x825f90d4, 0x4145b4e6, 0xcce666e9,
+    0x9e3edb94, 0xa57e6c17, 0x1217b4de, 0xf9f9e0a0, 0x849c3751, 0x86d630e4, 0x040f1227, 0x630f2883,
+    0xa691b560, 0x6ebae3f3, 0xc006baea, 0xd6c56aa2, 0x65b4acd8, 0x72f8c1a3, 0x1e77d427, 0x6e2961dd,
+    0xc0947a9d, 0xd2915f61, 0xac0ffa50, 0x46a5c9f9, 0xf62e0454, 0xc35a292c, 0x88701088, 0x003247b1,
+    0x5f8191a8, 0xaba85bf9, 0x13c5d066, 0x0d10a62c, 0x70920cbf, 0xa169fa10, 0x26b0f14c, 0x9e33cab0,
+    0x53fc341c, 0x6f2620ea, 0x62079ac3, 0xfa6dc4b4, 0x7888851c, 0x81fd5a96, 0x0155efb3, 0xd9d5ce0c,
+    0x0803d02d, 0x28301fde, 0xe0d09e62, 0x9b0537a0, 0xd9e8d224, 0x7fb09715, 0x2a54ebc1, 0xb8d7eed7,
+    0xb697965a, 0x58c21584, 0x3792edbc, 0x9188963c, 0x0e66fcad, 0x10579e63, 0x639ceba9, 0x020f67df,
+    0x35dbb409, 0xbab15a98, 0x096cd519, 0x7dbf21a2, 0xd0bd098b, 0x2daa7f21, 0x35413cf3, 0xdbb38600,
+    0x3128b642, 0xf89d0453, 0x2c97e56b, 0x661fe8a7, 0x154e90ee, 0x8a98af2d, 0x80f1a9a3, 0x6cbed71d,
+    0xf3a64b17, 0x7154980f, 0xa64b2989, 0x239fb311, 0xc4b09f61, 0xb9006bed, 0x36d8d865, 0x195e0ad2,
+    0xfa09a310, 0x2d5fd91a, 0x07392847, 0x0e9abc20, 0x260375d8, 0x64ad9afe, 0xbb00bfd9, 0xa74bb87a,
+    0xf2d9ddcf, 0x7ca6f552, 0xf98b3497, 0x964c58f7, 0xf39efe42, 0x18d03c84, 0x892b5e52, 0xb30f5219,
+    0x2c412f84, 0x899fc480, 0x12b5e1c0, 0xe48a6ca7, 0xcf40bbbc, 0xedcec391, 0x3b5e5a77, 0xe5f8403c,
+    0x01b338a9, 0xcd264ae2, 0xee7902aa, 0xa87f0bbd, 0xb6e23c09, 0xae3d826e, 0x96a50da5, 0x4205d575,
+    0xb0a54e40, 0x8f903663, 0x050f4331, 0x800e0119, 0x04549fc9, 0xbd0afc8f, 0x96bc26f0, 0x01795dda,
+    0x2f4f5071, 0xb587ac45, 0x6c257431, 0x54381216, 0xf9ac7832, 0xddba36ff, 0x32a4fddc, 0x8e663a0f,
+    0x83e0d225, 0x91927613, 0x897f84f2, 0xfda190cb, 0x856bcdce, 0xc36ba337, 0x47e6231b, 0x34d0b288,
+    0x96748a07, 0xbbc5caf9, 0xab546e15, 0xf9baf77b, 0x62add5cd, 0x3744bb28, 0x99d47631, 0x24355fff,
+    0x74d44fd6, 0x7b8890a0, 0x16c35d49, 0x4d9d58ea, 0x30371d77, 0xf0f8c596, 0x19f50385, 0xe82136d1,
+    0x5f2a7a9a, 0xb80ac3ff, 0xf8b67a75, 0xc8ea97a1, 0xa376a06f, 0xc64c0ce6, 0x8789a7a3, 0xdd67f082,
+    0x918ad9b2, 0x892cebd0, 0x88f47a7c, 0xbb38bdbf, 0xd97812a4, 0xb8d7af26, 0xdcf012fa, 0x59dc4876,
+    0x6d14085c, 0x6740eb04, 0x52ca177e, 0x1ccab92e, 0x8d031052, 0x1cc3c902, 0x81e99ab6, 0xed6a5926,
+    0x8a64144b, 0x69ea734a, 0xd1938f05, 0xd940f55b, 0xdf752237, 0xf55f1fcc, 0x0aa93d84, 0x34c971c6,
+    0x5bb8d4d9, 0xe1deb294, 0xb140a078, 0xbd2e035a, 0x4380d162, 0x6c618f7a, 0x458275e7, 0xc7fd44a0,
+    0x50fc97cb, 0x6cc59961, 0x32a69dd6, 0x542a5900, 0x93b87309, 0x156851c7, 0x73743b10, 0xe1fa10cc,
+    0xc84dc9fc, 0x2f55f99e, 0x878393c1, 0xb853cd15, 0x8fa61a86, 0x7c902f86, 0x61ca6bc0, 0xc49d7eb0,
+    0x746fd053, 0xcf4b6e1b, 0xadcfde7d, 0x4ca69525, 0x8e930335, 0x5551957d, 0x9418d92b, 0x636b69ee,
+    0x2e5d3d2b, 0xdd3d4b53, 0xa6297afd, 0xf1c58ad0, 0x6479a34c, 0x2826316e, 0x61d6b4d7, 0x95adff83,
+    0x620cad7e, 0x1d0b35d7, 0xcd4422b1, 0x4f3188b4, 0x8d5455e3, 0xd657350e, 0xb7b22d32, 0x2ca70048,
+    0x5dda28f4, 0x1b763eeb, 0x24cd353c, 0x6f99a54e, 0xcf8cb31a, 0xae9507f2, 0xf79f6396, 0x3785c991,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000019426688\
+                         92225729070919461906823518906642406839052139521251812409738904285205208498176 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0,
+    0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0b, 0x3a0cca1e,
+    0x00000000,
+    0xd5a9aa9f, 0x9dfe89fe, 0x4e01229f, 0xd5dd87e7, 0xd99d879e, 0x9901ca05, 0xb4785b4a, 0x2d06310d,
+    0xc3eeea7e, 0x6ee5ab52, 0xe3f769f0, 0x14cba445, 0xbcb13283, 0xb2d24e03, 0x97a96d20, 0x9f8e0c8f,
+    0xd3202ff6, 0xb51a7dbf, 0x34684317, 0xf8af9c19, 0xecfff2b4, 0xfccc3dd7, 0xa6bc522f, 0x9514c4a3,
+    0x57c8e918, 0x78462462, 0x748d13fa, 0x5cfcd64f, 0x42453f29, 0xe4c8742a, 0x4c8e33b9, 0x6a60a020,
+    0x1bae4722, 0xce29d6d0, 0x1e7d9ea1, 0xa263f8fe, 0x9b8944fa, 0xba596944, 0x12a5897a, 0x032e47e7,
+    0xc08c305c, 0x9ff2e0ea, 0xd0924d54, 0xc4d4efcf, 0xe50ce700, 0xd7696006, 0x1d849079, 0x44d085ae,
+    0xd2165da0, 0x3a3362a8, 0xcc0a1768, 0x3941a148, 0xe15d9a2d, 0x62755ef1, 0x6446c431, 0xd6663ccd,
+    0x7acc9683, 0x806d1d48, 0x514d21a4, 0x65f19e9b, 0x16f4f247, 0xc26cff2b, 0x0bd0bc31, 0xeef79fe0,
+    0x769f42c4, 0x759a2e02, 0x749bbb82, 0x1513df1e, 0xd4496846, 0x75dea37e, 0xb6c567de, 0xbbe027c2,
+    0x8bc18f30, 0x0ce2e17d, 0xf7b58d91, 0xef8f9c51, 0x0b890ccb, 0x754112ef, 0x01b1d7fc, 0x3c51820e,
+    0xe15224d5, 0x2fe1dd02, 0xa75e615e, 0x72a1d2f1, 0x46611ac0, 0xfea30ad4, 0x6def2838, 0x34e59a4f,
+    0x2919a5f0, 0x3e1dd6c0, 0xf5496ac5, 0xd848a3ce, 0x0a9431c3, 0x9aefaa5e, 0x8c5743ea, 0x61d1d2d7,
+    0xad2cffa8, 0xa704e693, 0x8e504487, 0x93aa18b3, 0xfc6ae6aa, 0x7e04cb43, 0x0190a7d6, 0xebabe62e,
+    0xff8a1c45, 0x24df665b, 0x5f836f63, 0x1750886d, 0x44c7a8f7, 0x0e70f0d6, 0xf08b6713, 0x8522f526,
+    0x017abeda, 0x6163712d, 0x36246dda, 0x9178cd3e, 0x3faf5274, 0x16d11bf8, 0xfe27f834, 0x747e7874,
+    0x2aa49eee, 0x3da0020e, 0x751f22d8, 0xb2edabf8, 0xd330d661, 0xe0e22050, 0x453dcbe5, 0x62d064da,
+    0xad52ecd7, 0x3d4f0df1, 0x958d1129, 0x90944c3b, 0xe89c6bf2, 0xd12be892, 0xab135387, 0xc0ff654a,
+    0xa8ee4bf4, 0x86df0ec8, 0xf51fea67, 0x81c1b2e2, 0xec8846a6, 0x6d0acb3f, 0x53e12f49, 0x9633d557,
+    0xe210982c, 0x6e62fb27, 0x25b00881, 0x10cb393d, 0x8c67dc95, 0x850ca9e6, 0x16a8452c, 0x518afb06,
+    0x9aca38b3, 0x21a71820, 0x359d24b6, 0x79542054, 0x2fb0913a, 0xeb17cfb4, 0x54fc8215, 0x72fcac89,
+    0x078c0cb1, 0xf9a40bcf, 0xac2447c7, 0xd127b4bc, 0xaaabd6ba, 0xff6d6b9e, 0xa08fa5a2, 0xad59cec4,
+    0xc4eb746a, 0xfee28da5, 0x0bf837bf, 0xf5c8744f, 0x8166e968, 0x4fd572d1, 0x84fa88db, 0x9e32c9c3,
+    0x441ea9ff, 0x5387261e, 0x9f05dfc3, 0x08bfdaef, 0xa2a72925, 0x01bea727, 0x72e6c539, 0xe58f3be2,
+    0x9ed4a92f, 0x780da906, 0x2e7fdb4e, 0x85b86f63, 0xe4456c92, 0x805fb87a, 0x8c26ee2e, 0xbcacbf33,
+    0x24a38007, 0xaeb908a6, 0x06a579ab, 0x188f3a95, 0xb73a9e9f, 0x49c15417, 0x309fe11f, 0x8a904355,
+    0xac349ccd, 0xc3bfac95, 0x220175c3, 0x7525b403, 0x559b7f47, 0xedd2d030, 0xa3167acf, 0xce5dffad,
+    0x7a6cc288, 0x333bddb9, 0x7e121731, 0x43f9aeb2, 0x973d5712, 0x95391172, 0x919ac67d, 0xad06822b,
+    0xfe4f04f6, 0x7726e7ba, 0x02e00c24, 0xb1d94b95, 0xed53dd0d, 0xfafc2dc4, 0x43c221ea, 0x3a02313c,
+    0xebb1fff9, 0x01bc968a, 0x52c8ab24, 0x31b51707, 0x2f54d597, 0x1b2f2d94, 0x4d2da2c4, 0xe4f81917,
+    0x52224cbe, 0x55ef938e, 0xf8dc793c, 0x92be1146, 0x24c63b5c, 0xaf0b4010, 0xfbce343b, 0xba63029c,
+    0x94b190d5, 0x9d8ef99d, 0xe6846a31, 0xf3d61568, 0xfb2e7ff8, 0xf8548745, 0xba92bbce, 0x6f87b2a8,
+    0x8910b706, 0x85519f13, 0x9f6f224c, 0x5bebbcf0, 0xf171e45c, 0x8018b907, 0x36c943a8, 0xa24f7174,
+    0xd41d49d8, 0xa4a993ec, 0x7d5b76f9, 0x3af885d0, 0xc7e573c4, 0x4157b18a, 0x8063ffce, 0xb0274d90,
+    0x4bce2acc, 0x50511c6e, 0x4a7133e6, 0x0d67bce7, 0xf59d8625, 0x3cb115b7, 0xabf49c30, 0x702d83fa,
+    0xd3623d66, 0x0dd03d61, 0x70c7c3ad, 0xb43923cf, 0xebd13999, 0x4a0bfca7, 0x23ecdbf3, 0xaef168a8,
+    0x601f881d, 0xefd326db, 0x7e570060, 0x92222aa3, 0x1a89efb9, 0xe8e920c4, 0xa0ee4647, 0x9afbda9b,
+    0xb153326f, 0xfb318f83, 0xc314f3f4, 0xcf48f998, 0xff47641c, 0x7b24c9c7, 0x2a19792b, 0x0d7f78db,
+    0x281cfec5, 0x6d40c2aa, 0xcb344fe5, 0xca5fd388, 0xc9fe3513, 0x3b71c2c8, 0x2b9d60a4, 0x319fc824,
+    0x7589b5f3, 0xd54d9d51, 0x140003d8, 0xa3dd03fa, 0x3b7b0c4f, 0x114602a0, 0x9e9ebcab, 0x8053fa69,
+    0x2862f11f, 0x413e1e4f, 0x11ccebfc, 0x50afde9a, 0x682a6a87, 0x6782c1fe, 0xc0c7af15, 0x2dca03da,
+    0xd40b29f7, 0x359a0366, 0xf9a5d044, 0xdfd651c4, 0x43ebce10, 0xa51c768f, 0xc6fd75c7, 0x0ab20d9c,
+    0x9f9a3888, 0x8979cc1f, 0x6dc2509e, 0x7a5cd93a, 0xbcbc7864, 0x07dda900, 0x15a51ebc, 0x7a4fdff9,
+    0x19cbb4e5, 0xca8e55d9, 0xe7ab21c9, 0x1e3515d3, 0x7a0de048, 0x82757a03, 0xf7f8ab5a, 0x336e7f17,
+    0x8a520798, 0xcaf6184d, 0xa7a2c7df, 0x4ed5929b, 0x230068b6, 0x2c0a149f, 0x964e6c6c, 0x92501405,
+    0x53a99571, 0xeb268f75, 0xa0233d0d, 0xb01a79c5, 0xe8cd5cc3, 0x3c1e59ab, 0x57645f1c, 0xaef5b919,
+    0xd72e6e29, 0x351be11a, 0x8e1a1a59, 0x16c5d606, 0x2f356d7e, 0x7a30fde7, 0xd9950a0b, 0x730cbe0c,
+    0x0bdff178, 0x7832cc55, 0x0e184e39, 0x69fab15a, 0xcaab1b22, 0x1560a2d5, 0xc268ccc9, 0x4081a180,
+    0x0f05ae41, 0x6c8c940a, 0xb2a80f57, 0x2c3af0e5, 0x733e960e, 0x98069c2c, 0x5955178b, 0x1ffe999c,
+    0x8d2ff945, 0xfc1a4c08, 0xd5f41fd2, 0x36da08ec, 0x831ad4e2, 0x7d45e77a, 0x33031e7f, 0x1cb33d4b,
+    0x8dcea0f8, 0x5e0dc00a, 0xf01eb09a, 0xa4ff9529, 0x40ff687e, 0x90920064, 0x33f3a5b7, 0xf232f23a,
+    0x6a8c164f, 0x4603e69e, 0x7d949ac5, 0x26f0d0a6, 0x99b27f7f, 0x513bdf83, 0x32ee32d7, 0x7329e930,
+    0xa8a9cb61, 0x4cdfeb95, 0x6e99da52, 0xf6f12479, 0x4ce69940, 0x530e7615, 0x568dacd6, 0xe6ef4041,
+    0xa8ab85ae, 0x576f71f0, 0x84a0f7e0, 0x7f211205, 0x2102f48c, 0xd4d1f980, 0x921e7781, 0x4d8c5d79,
+    0x6e0b9261, 0xeea60053, 0x8eff9a28, 0x3cdc4909, 0xe739bc1f, 0xde90e036, 0x0777fb73, 0x296cce4f,
+    0xa4b8932a, 0xf934a18e, 0xd35b3633, 0x11ed864e, 0xcfb99a29, 0xf31ab2c0, 0xf7ca6b05, 0x0fc2f285,
+    0xded3d7e6, 0x203d5b39, 0x273dac9f, 0x52a3196b, 0x3e9fee15, 0x22188e61, 0x0eabc76c, 0x7eb5b765,
+    0xb0a66011, 0x5e6dc308, 0x9f9db81e, 0x1abaa116, 0xd06f2f79, 0x2eea459e, 0x583475dc, 0x6dabc401,
+    0x3256ae0d, 0xe8b02acb, 0x4fe4ae72, 0x389dcde0, 0x23fe1cdf, 0xc5b7ba10, 0xce99fe8d, 0x1c27a458,
+    0xcd8021a5, 0x618f531f, 0x28a4c49a, 0xe44a3ad4, 0x4a57ad8e, 0x60becc05, 0xcc49314d, 0x28edeed6,
+    0x6f7a239c, 0x4f2d0569, 0xaf927485, 0x6076f866, 0xc5b211f5, 0xbfe0d208, 0x7193e5bb, 0xa0fcc7ec,
+    0x8027761d, 0xf0d5a514, 0xde666eec, 0xb5317b95, 0x6958b2aa, 0x72d59681, 0xdd45c73e, 0x10a608f2,
+    0xbb9b2a08, 0x437575c0, 0x20aaa35b, 0xd3bbf5df, 0xd920e518, 0x6de9b02e, 0x1dc33bc8, 0xb7910abb,
+    0xe373ec53, 0x5992def6, 0xa42f6cbe, 0x5bcb81f2, 0x00a87bec, 0xb2ec4c53, 0x2d6170db, 0xf8425fb7,
+    0xed08658e, 0x145d26c1, 0xfe4d218e, 0xa41c447b, 0x1928a4f2, 0x766f38c6, 0x7379c0a4, 0xfc7af8bb,
+    0x87fe76cd, 0xe7bcbd62, 0x169f3f40, 0x81cb9e7c, 0x2dbeb6bc, 0xe06a0196, 0x33d1aef9, 0x9bb8d518,
+    0x954baa5c, 0x422ea379, 0xe6d8d936, 0x02e8a95f, 0x60c58692, 0x96b0b2f5, 0x24215425, 0xbcf5880e,
+    0xa5a45fd5, 0x9e41cfdd, 0x25c6ad85, 0x78510f72, 0xb8ede7d7, 0x52a780a0, 0x8ad2d836, 0xd4dc08df,
+    0x86ab6b64, 0x7895e5ce, 0xc847f424, 0x77fb08f3, 0x3c6d4b21, 0xce69a98f, 0x4c990633, 0xa7b76353,
+    0xe733dfe5, 0xf7e21cf1, 0xda951675, 0xd2e225a3, 0x30463c33, 0xec448978, 0xd085470c, 0x81811374,
+    0x234c5f72, 0xfcf2b276, 0x7eb25a8a, 0x77640d2b, 0xc3138ce8, 0xbc2f2a3c, 0x5b1b7d7a, 0xaac8f0cf,
+    0xfb9dba34, 0x5fa49396, 0x33669698, 0x0c9b8c19, 0x77bd1379, 0xf07544ff, 0x1808204f, 0x7592f1c9,
+    0x635f66a9, 0x09950891, 0x0ec34c3f, 0xdd75610e, 0x1ab6d394, 0x00b79f1a, 0x7590ce38, 0xa6ef9792,
+    0x569dfd68, 0xb66aa676, 0xc2709159, 0xfcd76e14, 0x42239019, 0xf3713a0f, 0x78f86bd4, 0x33922443,
+    0x9acfb940, 0x15b8f6c4, 0xcc1e2d13, 0x02a165bb, 0x3450f1ae, 0xf2f3c2a6, 0x5c3a78be, 0xbd3eb2c3,
+    0x671b6cc2, 0xe3e8486e, 0xe99ebc88, 0x3a5d1eff, 0x4ad4c7df, 0x7c462139, 0xa38294fb, 0x3929e978,
+    0x538898c9, 0xf82fad15, 0x539fde2e, 0xd0e847f9, 0xe1650ca5, 0x0ad19f84, 0x615bae7a, 0x94a20338,
+    0xd20013cb, 0x7766eb9d, 0xc1d1a11f, 0x2dd046f5, 0xe691bcae, 0x9da61d33, 0xd5c024a2, 0x24f4f327,
+    0x071c5c06, 0x47c7d5ab, 0x47d15685, 0xf6400444, 0xccf8c30c, 0xbd60638b, 0x284f5558, 0x134c7ad9,
+    0x24fa0fe0, 0x744e3574, 0x7c4fe99e, 0x4642065e, 0xed285c68, 0xbe584c70, 0x73a0af31, 0xf8d908c0,
+    0xc2577544, 0x4f50e5e3, 0xfa6323a3, 0x25ae64e3, 0xea3bb86f, 0x5c162d29, 0x60c95902, 0xcde94fcd,
+    0xf9fbda1d, 0xfce02d17, 0xd3e60b08, 0x4a6356db, 0xc95b424d, 0x16fb539a, 0xea90ec61, 0xebb28cdf,
+    0x518032fd, 0x334b3ea4, 0x4cfd48c1, 0x514d136e, 0x7c9c18b3, 0xbc58be21, 0x51a52584, 0xfcc5638f,
+    0x29f0b93c, 0x85390b02, 0xf1e8f805, 0xadec8361, 0x3bd3d857, 0x6123aec6, 0x18152c8a, 0x98e3fddb,
+    0x5028bf8c, 0x8dcc3078, 0x4aaa87a9, 0x356e2cf4, 0x303e4258, 0xa22711e1, 0x10c88ef4, 0x43d024e9,
+    0x2f6542c2, 0x698cc8d9, 0x9b84b97d, 0xef33077f, 0x57a4d9ea, 0xff28c49a, 0x559d0033, 0x74975954,
+    0x3e07f393, 0xb57f1b6e, 0x63d2c7a2, 0x2908b5c2, 0xc7280cf3, 0x8bd9298c, 0xa12a355d, 0xade61629,
+    0x61923d91, 0x255be587, 0x0bdc8895, 0x167a83cc, 0x008f760e, 0xcfe54182, 0x8bd60bba, 0x1b244818,
+    0x6727de9c, 0xa4637dd1, 0x9e152733, 0xe047afb4, 0x8c570bd8, 0x7369f312, 0xfb971b36, 0x81569ea0,
+    0x640a460a, 0x84a1fb8c, 0xd2d498b3, 0x7c49758e, 0xec6875ff, 0x60ca131b, 0x5b497bfa, 0xd88ac074,
+    0x95cce37d, 0x3e0ba65e, 0x2ad0bd83, 0x47c33e52, 0x3a4a3b81, 0x077dd514, 0xe44e5248, 0x41c3d408,
+    0x892f5443, 0x09732d5a, 0xf9db3345, 0x4dda03a0, 0x172cc45c, 0x42078496, 0xd24f820c, 0x8b20c8c2,
+    0x5a803d58, 0x4e5f7af0, 0x77a1e3ea, 0xcbc55345, 0xb0217863, 0xc62900b0, 0x7da22c90, 0xaafcc10f,
+    0xa13b79b2, 0xdbe14d71, 0x5dbee119, 0x27c71851, 0xbf89735f, 0x0d4193a6, 0xd6110d94, 0x1a86fef2,
+    0x527186ed, 0x31665671, 0x4aff7b36, 0xb89dbdcb, 0x3442ec84, 0x50b7474f, 0x1a6e1865, 0xd42d9bde,
+    0x78935ba7, 0xdac6996c, 0xe5c476f3, 0xc2a72670, 0x8bfe8e45, 0x342aec6b, 0x6bad7bb7, 0x75fa14be,
+    0x08f4ff01, 0x613f8188, 0xea072a05, 0x9a325852, 0x6f1f1cd7, 0x23765508, 0xd7eb11b0, 0x9f1f0099,
+    0xd701760b, 0xd2f05736, 0xdc0e1cd5, 0x95c92cea, 0x8c841e32, 0xc1cd3d74, 0xb15434ec, 0x32d1fdb7,
+    0x0f9c6daa, 0xb0f55108, 0x31a3f9d1, 0x4af5d699, 0xd40f67da, 0x25557456, 0x0d9f5d6a, 0x308d7698,
+    0x8eb20159, 0xe94f3c7b, 0x96e92dd4, 0xb8b7fa75, 0x184059c4, 0xd31dd355, 0x3cea7365, 0x8f7deb83,
+    0xe1d5fc8a, 0x1338378d, 0xe2774b08, 0x808e32c6, 0x4991c209, 0x310a2153, 0x15c5a164, 0xfa59f7e9,
+    0x044eb453, 0x138cd1a4, 0xc6653fc4, 0x08783909, 0x24234ccc, 0xb818a1b9, 0x118031dc, 0x32cb5b13,
+    0x6feb38b8, 0x6e7e8239, 0x63375e37, 0x2f6cef11, 0x7fe107e8, 0x4018c40f, 0x92e39388, 0xaf0a72b3,
+    0x988d0247, 0x74261b82, 0x7f098b95, 0x036ff67a, 0xdbbc45b9, 0x856b62f6, 0x047ac697, 0xe1b34630,
+    0xd625f5a2, 0x19e9ef5b, 0xe62648b0, 0x0fbf5494, 0x8596b9d6, 0x079eb4f5, 0x632fdbd2, 0xd4285490,
+    0x67d26c68, 0xd53caf53, 0x4c535354, 0x735f9405, 0x88bbc1c5, 0x2fbf3667, 0x5f7da563, 0xf6bc10d6,
+    0xbdc0d5c7, 0xf7564084, 0xb5a075ff, 0x70a23eab, 0xa2ce1c31, 0x00e0286f, 0x60ec99f9, 0x37529e1c,
+    0xbc36891b, 0xf56e1ed5, 0xe3cf05d5, 0x61af9f18, 0x6c129957, 0xe503fb9b, 0x00a8a0cc, 0x5a0cab1d,
+    0xc196a9f3, 0xaab1ac77, 0xf2aff0e9, 0x2382302e, 0x511b1d44, 0x6bdf9148, 0x0d64978d, 0x200bab40,
+    0x2a644c97, 0x8fdac8c2, 0xfd6ae374, 0x570c3b75, 0x8daefcf7, 0x31447d05, 0xd35ff4a7, 0x180ee790,
+    0xe4fd6768, 0x56def5eb, 0xc64f04a8, 0x327f2122, 0x26ed320e, 0x0d6a95aa, 0x70a2728d, 0x88b46a57,
+    0x7fdbf57b, 0x4d069816, 0xebdeeab6, 0x18325b03, 0xfe463aa9, 0x44df16f8, 0xbf17e933, 0x241af690,
+    0x5748033c, 0x28b40dc8, 0x2766173c, 0x86501eb3, 0xb834187c, 0x16d700b7, 0x12c06693, 0x49bf483e,
+    0x94b3859e, 0x4c78891b, 0x9e21e857, 0xc0541793, 0x9bdaf50b, 0xd937b88a, 0x0a725805, 0xf76720df,
+    0x403828df, 0x76a18135, 0x302160e1, 0xde5b3945, 0x4299bd09, 0xe50f3feb, 0xd186d947, 0x18701705,
+    0xe6faa50d, 0x92454531, 0xdc5c280f, 0x957df144, 0x44a9ccf8, 0x155879b7, 0x91fe58f5, 0xc6fb7108,
+    0x7c15d875, 0x62e9a31e, 0x8b17f78c, 0x0802ce2e, 0x398088ff, 0x062f1c45, 0x5d2ab329, 0xd68d740d,
+    0x5959a148, 0x7c46fc2f, 0xa90dfad1, 0x042a1172, 0xbcaa9c37, 0xd8b4942e, 0xa88f2cbe, 0x65c4d20a,
+    0x96698919, 0xe611af02, 0x18435cb0, 0x9c2a352e, 0x4b2c89fa, 0x9a1e55a7, 0xaf1654ad, 0x7cede21a,
+    0x51539a31, 0xf34210da, 0xc88082ba, 0x2bf343d8, 0xea52e9cd, 0x4ccee01d, 0x0a9dfab0, 0x3e610d8c,
+    0xbc80773b, 0xb5eb35da, 0x57bd353e, 0x7aedb785, 0x6a598dfa, 0x47da71de, 0xdc43c397, 0x30a08869,
+    0xfe92d3eb, 0xdef98a35, 0xef52f9db, 0x04fba42c, 0xe79dfb34, 0xee1a0164, 0x7a946981, 0x6c4d0b71,
+    0x0e317429, 0x2e6f4ae5, 0x050ba71e, 0x17af64c4, 0x9deacfa7, 0xa22c526e, 0x640ccc34, 0xfa7ebaaa,
+    0x24fe1b37, 0x1442ebb0, 0x2e573afa, 0x00ab456d, 0x323957e8, 0x970d9f57, 0x19b354d5, 0x3097e036,
+    0x683f53bd, 0x011e3b3c, 0x0bd363be, 0xa4d51c8e, 0x47de9640, 0xc7ac39ab, 0xf1ed7614, 0x0b00e80c,
+    0xe70494db, 0x5a05d72f, 0x85fcaa2f, 0x9bcf022a, 0xfa3e6a5f, 0x43df677b, 0x7ad0ef22, 0x47bd64e7,
+    0x637369d1, 0xf39b236c, 0xa9156cdc, 0x9025d17c, 0xf30b579c, 0xb0e9f2f7, 0xf1b63e42, 0x9ef7634d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000009713344\
+                         46112864535459730953411759453321203419526069760625906204869452142602604249088 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78,
+    0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e785, 0x9d06650e,
+    0x00000000,
+    0xe9e01523, 0x7f853cf8, 0x1b642dac, 0x2c0c6c4f, 0x0dc55de4, 0x835ff41f, 0x04c57419, 0x7d0f37e1,
+    0x9679986d, 0x46856618, 0xba9d93af, 0x3ec8e12e, 0xd956b7e8, 0x4e416a3a, 0xf5fff72b, 0x6c0cb5f3,
+    0x05b34abe, 0x15048acf, 0x48e2cd31, 0x784bfb00, 0x696237ab, 0x7898c04e, 0xcb730e28, 0x75782754,
+    0xfbefb2e1, 0xce767984, 0x61891c01, 0x1e7b8b37, 0x14f4cafd, 0x159a5199, 0x0f3d35fe, 0x75bcf38f,
+    0xb6b496a3, 0x61e389d5, 0x15ed00de, 0x8eb51800, 0xe00561d4, 0x444c3cac, 0xb692e6d4, 0x49df3ea6,
+    0x65b2fbc8, 0x8f116750, 0x30315e0e, 0x36b4b2cb, 0x0fc145df, 0x700e1942, 0xbf96d4ac, 0xd54731bd,
+    0x2d89fb4d, 0xacfac506, 0xeabadfb6, 0x839eed68, 0xa3190401, 0x69391cd2, 0x59c8e04e, 0x423735f5,
+    0x0ba17cdc, 0x312da3d9, 0x574e920c, 0x0b4b5c6b, 0x210e7493, 0x9b521bdf, 0xfa0c9b55, 0x3684c2b4,
+    0x373f7d54, 0x2928e39c, 0xb4c1ed22, 0x7ceb936a, 0x91690662, 0xad6e6d62, 0xf6a3fdb4, 0xf14700c5,
+    0x65ab15cd, 0xff96d827, 0x9365fdea, 0x23adef1c, 0x6c7cc6a2, 0x7c0be514, 0x7497b86c, 0x2214df74,
+    0xcdc48dde, 0x055965d0, 0xece92272, 0x3651cce9, 0x01c11fdb, 0x8d049711, 0xbce09b08, 0xdfff55e1,
+    0x3241bb5d, 0x1d072cf6, 0xc78e27e1, 0x120388e3, 0xd63ab5a3, 0x6b8bf8c9, 0xd9d1726d, 0xe4c5311d,
+    0x974de010, 0x3e7b4b29, 0x1223bffc, 0x1496fb0d, 0x17b59e11, 0xc83232ad, 0x46a3f53e, 0xa1e686e8,
+    0x342eddf9, 0x91abae53, 0xc5ff8875, 0xaa57703e, 0x1a407768, 0x6da95bb1, 0x7938736f, 0xe233188b,
+    0x1c4ad6da, 0x5a819818, 0xe5ca6a92, 0xdef1b1bd, 0xdaf02605, 0x2399590e, 0xfe25c220, 0x4928980b,
+    0x492e2ba6, 0xad5dcda5, 0x2805b6f4, 0x23515453, 0x8b0923df, 0xd640b1ee, 0x02afd628, 0xd808f86a,
+    0x289c1e2d, 0x0f565608, 0xb41a678c, 0x57d786ed, 0x0a65374d, 0xc2276e96, 0x3f236902, 0x1d6d4005,
+    0x554d263c, 0xf441cdc6, 0x8f1dde4c, 0x810103fe, 0x99dc4fe6, 0x493cda60, 0x82a1e161, 0xf61e4ce3,
+    0xcc05a8f1, 0xbb2e9bff, 0x0be31420, 0x655489e2, 0xb108a93e, 0x01d3c616, 0xaec8e3d1, 0xed860d03,
+    0xf9d20a0f, 0x96d4cc68, 0xa924dd68, 0xe95b4485, 0x271b0550, 0x1b7ca2c7, 0x7cc046c5, 0xb9c00a8a,
+    0x5dd48636, 0x83c73f4d, 0x5160fa64, 0x5ed94a8e, 0x7e801855, 0x3b783419, 0x04391786, 0xb631b947,
+    0x991d207f, 0x7277a196, 0x0c3eff85, 0xc2515d41, 0x68d62de9, 0x6a3c70ea, 0xaf50b772, 0x0b1456db,
+    0x7d3490a9, 0x705cf5af, 0x03f749f9, 0x3269be67, 0x9b2da174, 0xeaa85f81, 0x9305bc68, 0xd882ab8b,
+    0x32a69492, 0x7b219893, 0xf0c1fda8, 0x442f9004, 0x8e4b5770, 0xd6c9fdcc, 0x8a373754, 0x8667bc4d,
+    0xb1b330a0, 0x2fc774d8, 0x69e28eb8, 0xd8351c60, 0xd373ffaa, 0xb41bc600, 0x9fcddc89, 0x95f55dff,
+    0x5c6e7fa4, 0x3b4d8ff8, 0xc231251f, 0x753692e5, 0x3691527e, 0xfa44781c, 0x7944fd9c, 0x65aa42ac,
+    0x974bf2c5, 0x177c2801, 0xff71a83c, 0xff73a2c6, 0x7badb531, 0xc4f658e0, 0xea9d6837, 0x03d727a1,
+    0xfe676e6c, 0x4fce53a0, 0x716fffc2, 0x6c7603f8, 0xadf3b03d, 0x36b5a080, 0xc140cd39, 0xb01e8fa6,
+    0xaadd3d47, 0x8221300d, 0x6146238f, 0xba68f47b, 0xc698e46f, 0xb8389540, 0xe035dba3, 0x22473b28,
+    0xa23d1ca9, 0xce455fd8, 0x9998fd9b, 0x028f2b37, 0x4f75e7c8, 0x2a2f1dac, 0xbd83409b, 0xfc194f7f,
+    0x1c5c7a7b, 0xc1010200, 0xebf44fee, 0x0376ded6, 0xee0b9f47, 0xbde92371, 0x97e54d72, 0xf8b4224d,
+    0x9dd08c63, 0x90d740c1, 0xc0394817, 0xbb3c573e, 0x395ffcbc, 0x5077fe95, 0xdb26f5d5, 0x260bdd9c,
+    0x5db4a55d, 0xa0aedd2f, 0x208fe85c, 0x218d2c30, 0xa2241d01, 0xa16f6746, 0xb131353d, 0x887ddbf5,
+    0xa52afe2c, 0x7456cd14, 0x55cdf9cd, 0xa9cc73bc, 0x185f9281, 0xf6c4df31, 0xc69279b0, 0x26a80fbf,
+    0x8f3875be, 0x19292015, 0x4b2d39f4, 0x1a863025, 0xd302cbf8, 0x5f8e3a72, 0x6a985a12, 0xd20021bb,
+    0x3cab44e6, 0x0ead11dc, 0xdb3d4660, 0x786db795, 0xa569c582, 0x50a774bf, 0x45b4ff0e, 0xafcc9312,
+    0xdfe4e156, 0x30112f77, 0x81348cb9, 0x32970dab, 0x822ef9cc, 0xa49b741f, 0x6668522c, 0x5304101e,
+    0xbc4f53d3, 0xf70295ec, 0xa4bae2b7, 0xa7d9da25, 0x1f243634, 0x109c486a, 0x03985d0f, 0xe76cfd25,
+    0x8a892891, 0xb9b1161c, 0x596a787e, 0xb328896e, 0xddc806cc, 0x8a724e32, 0xb2f06c97, 0xbfa91472,
+    0x06d5b61e, 0xfdc9b6c0, 0x755fbec6, 0x3c9b3ad7, 0x7ba736ec, 0xafbe1d43, 0x73acaba7, 0xc8351981,
+    0x13809185, 0x6ce9bfb0, 0x8e5dc810, 0xef90589b, 0x09138b11, 0x99cbbf30, 0xc98261f3, 0x2b5bdc7d,
+    0x8246bf0b, 0x8da1aa06, 0xe72ea298, 0x5f6c19c3, 0x6267c146, 0xbb9b4047, 0xd0514cf3, 0x1c43a32f,
+    0x9144518a, 0xed417fff, 0xf94fb2ee, 0x97fe75dc, 0x50cca7e5, 0xd3b15df0, 0x5893a51b, 0x0a153e26,
+    0x961eef1a, 0x90a6448e, 0xeec2ebc5, 0x630c640a, 0xd96f67d6, 0xd8e9a0ad, 0xc4ab0da3, 0xc95309f8,
+    0xc2709255, 0xd77b8192, 0x715875bd, 0x80f7724f, 0x68905994, 0xa3f53271, 0xa41c70ca, 0x77fcac29,
+    0x9a165902, 0xaf5343c4, 0x7af948a8, 0x1a90997e, 0x236ae4f9, 0xd2428f1d, 0x2f0fcfa0, 0xf88d3397,
+    0x9ded6803, 0x6215b881, 0xd3dc9db3, 0xe145c8c8, 0x571dcb2e, 0x7b51cdc7, 0x005b491f, 0xdf569d4e,
+    0x44ca442b, 0x24ff66d4, 0xe6a7e8f1, 0x9eaff9f8, 0x77b1d55a, 0xd11b5b6f, 0x7ae3b336, 0x8101d0b9,
+    0x0a649934, 0xc7b0ec23, 0x013dcf36, 0x224486bb, 0x02cf0eea, 0x48eed1e5, 0xdf649d67, 0xe0d61aa1,
+    0xdefa3dcc, 0x73a7dd9e, 0xbb146071, 0x80e1de44, 0x12b2231e, 0x2614250f, 0x9da7987e, 0xc2926c3c,
+    0x1f51780a, 0x024904a9, 0x8542becd, 0x23a305d2, 0xb7d0a65c, 0x971b19ba, 0xc52931aa, 0x4d34f86a,
+    0x2458d14d, 0x99b014e4, 0x907d2272, 0x9038e1db, 0x869385a4, 0x30369eda, 0x01f3ba35, 0x6f49b767,
+    0xdda47c01, 0x6f73944a, 0xaad88d6d, 0x13090056, 0x3681a694, 0x6a1effb8, 0xba2ea58a, 0xebc669ed,
+    0x8d4a598f, 0x61e6a9c9, 0x55853012, 0x74bce7fc, 0xfdb2b586, 0x32d7023a, 0xdb5f3bed, 0x083db269,
+    0x07b54f05, 0xc7c73a0c, 0xabe09789, 0xdaa4f952, 0x865b1535, 0x23944a68, 0xa1dbe19d, 0x9758dfbf,
+    0x436bd0f5, 0x1869abf6, 0xd33aed83, 0xbd4869c0, 0x5ed21b4c, 0xd04e6bf4, 0xeddf91f4, 0xf92e3635,
+    0xb1f0ae06, 0xec660de6, 0xa22734cc, 0xd008912b, 0x6f67f92d, 0x5d4ce935, 0xbdbc30d8, 0x83dfa53e,
+    0x7c24566c, 0xd8c32cfd, 0x1156f35b, 0x0f807dc9, 0xe71669b1, 0x7b15c324, 0x15574e25, 0x77a6bfdd,
+    0xd07870c5, 0x584a169b, 0x195ba2dc, 0xdbdc069d, 0xf75a16e5, 0x9bdecd44, 0x2761298e, 0xfa64d1cb,
+    0xaccb0107, 0x6b08502f, 0x595d3651, 0xa5ab3bd6, 0xde6319a6, 0x5a846ab8, 0x79c272b4, 0x46a04193,
+    0x39fa1119, 0x935b9b1f, 0x1cb69181, 0xb0a01cfb, 0x0c2f9f46, 0x5ab4c47e, 0x1539c770, 0x96574f4c,
+    0xec9fc4a2, 0xd2655f0f, 0xa54c10ba, 0xf626a768, 0xa11347b0, 0xe58115ca, 0x39ec0857, 0xe73ee7c2,
+    0x17a3e397, 0xdbac9ffa, 0x5369e6e2, 0xd9ef6fa6, 0x5a03f2dc, 0xa864734c, 0x80154b4d, 0xc42b06d7,
+    0x61d944c8, 0x43bec18b, 0xe1a14e44, 0x003594a3, 0xa5746b01, 0x7358c1cc, 0xf5c6b422, 0x74bb2448,
+    0xfc27a8ee, 0x63f73d27, 0x882aef60, 0xd9432fd7, 0x8ab31ff3, 0x3ffc9c99, 0x6ad55bee, 0x94fadb37,
+    0xa36b8936, 0xf63984c7, 0xfe269b57, 0x166f3cda, 0xee96cbe0, 0x7c990c92, 0x44b5f45f, 0xf266cdbc,
+    0xa6579cf5, 0x4fd4de0f, 0xf2cb47e2, 0x2e677921, 0xe9e30053, 0xa05c765e, 0x2784d477, 0x1863763a,
+    0x256ad42a, 0xc581b677, 0x3f101ec8, 0xc602291c, 0x78bc4d9a, 0x6f7a6007, 0x6b13deea, 0xed932c2e,
+    0x9804fb77, 0xc95558f9, 0xaf8509e0, 0x47fd80c6, 0x06346b89, 0x2de540cf, 0xd2bd5a1b, 0x35abb859,
+    0x0741a837, 0xdbb4883e, 0xc252757b, 0xf3825c92, 0xfe73d537, 0xc850b47a, 0xcab0a328, 0xfb7cc786,
+    0x36f38dd4, 0xc9eb95d6, 0x1cbb2d92, 0x5e8d96f8, 0xbbdfe407, 0xd47fbaab, 0xd2312f80, 0x47bb9e16,
+    0x3b82051c, 0xab8aa494, 0xf022053d, 0x1423b1e8, 0x0c4238ac, 0xa10f2aa2, 0x2ed20b0c, 0x43cb9684,
+    0x1c2a7e13, 0x97b1f516, 0x41182b68, 0x5b13304c, 0xb0779c90, 0x0a9e90f2, 0xf6441520, 0x3eab7ea1,
+    0x09bdc651, 0xe13c7c5d, 0x39b19add, 0x08e579e6, 0xaf0804bd, 0x6aa502b4, 0x86937bff, 0x735679fc,
+    0x6748d09b, 0x973986a8, 0xa4177071, 0x8a5f6c50, 0x56d75550, 0xb4cf814e, 0x4372d679, 0xa5cb7dbe,
+    0x90d51393, 0x33ac93c5, 0x7b376cb8, 0x9d6c23ae, 0x09c070f4, 0x18683bb2, 0xd3051341, 0xf8b04099,
+    0x41100cfb, 0x37806eda, 0x53d3f737, 0xfcb85775, 0xd9a816fb, 0xc2a29e7d, 0xb7b764d5, 0xfc65340d,
+    0x0b68981f, 0xf2e9333e, 0x40270b5a, 0x623229c3, 0xdc9aab41, 0x337e01e1, 0x91b7b937, 0xe66d9803,
+    0x1b636f01, 0x7fe57d5d, 0x59bd257d, 0x8d276f5f, 0xb4d42078, 0x42fdd9f1, 0x79a84ee9, 0x9b4399f9,
+    0x4c3fe483, 0x9a3635cd, 0xd0978f14, 0xf003ff93, 0x87e68e95, 0x55baa060, 0xc726b41c, 0x856ae12a,
+    0x6fbc8adf, 0xd4ba66e0, 0x5eb1437d, 0x222c185f, 0x5b875d83, 0xf69bce94, 0x77ca060a, 0xc185c270,
+    0xa8fdfb2f, 0xcc3cb94b, 0x730c8d43, 0xad9153bd, 0x1278c516, 0x6adcd70d, 0x551c3065, 0x43096de9,
+    0xa3d03fe8, 0x2e0b8410, 0xe7eaab21, 0x75e132f0, 0x14049486, 0x126bc3f5, 0x426bcd85, 0x2b2a9358,
+    0x0392b2b5, 0xb8cd6d19, 0x18984b4e, 0x1b50bc7e, 0x874c6df0, 0xdcf7dc8b, 0x43803379, 0x33026eb7,
+    0xc2fb69fb, 0x3e1ff8e7, 0x3380e789, 0x582f625c, 0x8ea02e78, 0x5e9b21fb, 0x63ca25d3, 0x8e482888,
+    0xa0319b43, 0x912d1835, 0x5624a133, 0xb75142ee, 0x67d6c3bc, 0xfbee57d9, 0x9f02ae4e, 0x68baeb31,
+    0xe6f9eedd, 0x0220a1e4, 0x3a103f04, 0x646d7106, 0x3920fd64, 0x126f7be3, 0x8bf3d7bd, 0xda2931c1,
+    0xdb85b3c7, 0xba71c6f6, 0xa583f34f, 0xaf3a58b3, 0xd14ab1e0, 0x9a01eb76, 0xd843d56f, 0x8e81e914,
+    0xd8fcbf51, 0x3e2b0635, 0xaacd5ee7, 0xc1d089c5, 0x93a1f68d, 0x13fa7e8e, 0xb2eeb601, 0x70a9b839,
+    0x66a213ff, 0xc2038033, 0x6e0fb643, 0x0e153948, 0x03f27c30, 0x6d596aae, 0x0dff2cdf, 0x6e4add78,
+    0x99a207f6, 0x050e4832, 0xc80f320e, 0xb8e6879a, 0xdb4c10d7, 0x92164fa7, 0x4d873ce9, 0x6ed119eb,
+    0x6cb8392b, 0xd2e9d554, 0xa5f4a414, 0xe44109a7, 0x725123c2, 0x90f5e690, 0x026b3e5f, 0xe22a38d9,
+    0x63097656, 0xd6accfbe, 0xce315e8a, 0x7019ac09, 0xd805b5ed, 0xc18d817b, 0x8a64ae78, 0x8d3d2bbe,
+    0xb6b3b207, 0x27c63cd5, 0x0626a88a, 0x917c8bf7, 0x6e417181, 0x2d93dcdc, 0x0047c735, 0x2c0bb31a,
+    0x6063741e, 0x5c7264c0, 0x6b62f734, 0xfaeb66cd, 0xc610163f, 0x1774a125, 0x540d99f6, 0x0a9cd541,
+    0x8186f636, 0x16df59eb, 0x70e99f5b, 0x15e835f8, 0xd5bb2fbe, 0x0b564ce9, 0x082810d4, 0x360a0c68,
+    0x8788a241, 0xf7c0d62e, 0x2a0f04bc, 0xba8f5058, 0xf85177af, 0xbfb6a4a3, 0x2d495af8, 0x594c92b5,
+    0xfcc53781, 0x0c9df75a, 0x75b3a177, 0x42d9b5e4, 0x4a4e87fc, 0x1ea70b4f, 0xb786c0bc, 0x93ef8e15,
+    0xc68b1683, 0xf0ca4f2c, 0x0ac2b292, 0xc35b3aa2, 0xfdc2cb94, 0xbaaac4a8, 0xe8da2c89, 0x150422cd,
+    0xbfe6a072, 0xfbc291c1, 0x7b64187c, 0xf55ee6c3, 0x1fc77961, 0xb17545f9, 0x2ed4eb97, 0x9c14f55b,
+    0x26572c19, 0xb5864c67, 0xa66f92e5, 0x9de2e4c5, 0x88797f58, 0xf12c7c64, 0xe11b54ae, 0x4817be7f,
+    0x9503230c, 0x7a711d04, 0xa63d916a, 0xa443b577, 0x48dc6ad9, 0x4273e5d2, 0xd2b0bfb3, 0xe21b611d,
+    0x03a433b2, 0x60c62560, 0xcf9f5adc, 0x74573e87, 0x46cee6ff, 0xee46d164, 0xad3c6047, 0x953b6ca0,
+    0xa7a4fe2d, 0x4a0d57c6, 0x45993bb1, 0xae511a7b, 0x89cd545a, 0xdd9d3dfe, 0x9bf5ac88, 0xb16337c9,
+    0xc71d92c7, 0x46c8b02e, 0xe2241c51, 0x182a6e0b, 0x8ca475ec, 0x7a65026d, 0xd4fd7695, 0x53e51c4d,
+    0x678cde6a, 0xf03fd8cb, 0x9ed1988a, 0x2be41469, 0x14a6c96a, 0x008d01c4, 0x428c165e, 0xd99e56eb,
+    0x6dc30c37, 0x9283881b, 0x0135d6e0, 0xb4bc2453, 0x6c2e725a, 0x082887f9, 0xd0183d72, 0x6d939493,
+    0xe6614fb3, 0x0568ab04, 0x42273fe8, 0x69aa6871, 0xe85d1d63, 0x93be2cd0, 0xb7f653fe, 0xb468abd9,
+    0xce1a906c, 0xca57a12c, 0x08106a23, 0x77f6baf0, 0xdba71e9b, 0x9beaa364, 0xafa9d607, 0x2676fe3d,
+    0x753c8d40, 0x3f568a5e, 0x47faa448, 0x3f75787d, 0x9e0b0adc, 0x46a87308, 0x389396e9, 0x13d47976,
+    0xe0c0f59c, 0x42f78800, 0xe3291a78, 0x3419343c, 0x5748bfeb, 0xf26e319a, 0xce49aef9, 0x03cac7dd,
+    0xafa04507, 0x0e84d2c6, 0x71b0fab0, 0x84619c63, 0x52e6ecda, 0x577c2d54, 0x33f26133, 0xbb184286,
+    0xcc0de7b9, 0x0dc122c3, 0x800ab63f, 0xc5658b16, 0xcb1a1c32, 0x1021ab06, 0xeaa70415, 0x36a7217f,
+    0xf771a2ba, 0x5d1d969f, 0xd267431d, 0x0e66ce3c, 0x657fb7d9, 0x00582c69, 0xd4db0130, 0x5fa17fcb,
+    0xe8218f3c, 0x03d97efa, 0x8dbdff6d, 0xd97577fe, 0xe98fb3fc, 0xb6dbd389, 0x406140d9, 0x4d39ee5f,
+    0x7594e3e9, 0x1aee305b, 0x9be84e6e, 0xe2ba62df, 0x4cb995e9, 0x1edd6408, 0xfe8c694b, 0xf625b766,
+    0x77720301, 0x7ed1ced8, 0x7a7b54ea, 0xbb3ddb0a, 0x62f52309, 0x6474e50f, 0xe2b64860, 0x6219e49b,
+    0xcd2fcad8, 0x1a60842a, 0x734ba3b2, 0x41d8ba9e, 0x49480b5a, 0x0cb8520d, 0x13920f0b, 0x726367f6,
+    0x386e3235, 0xce17c9eb, 0x9e7a1a1a, 0xd8a4b970, 0xdf9439d0, 0x8cee8187, 0xf06c0119, 0xc41b8378,
+    0x31ac1700, 0x3ce167b1, 0x5a164daa, 0x2bb4656f, 0x1481d285, 0x2b6bea8d, 0xcb0d4aab, 0x48ddaa65,
+    0xc4358291, 0xa275a6af, 0x992c4f94, 0x16b4d353, 0x8ffb8fd7, 0x774cdf99, 0xef795955, 0xd45165d1,
+    0xb84b9583, 0x13612ae1, 0xd1e68d22, 0xd2497e3a, 0xb227c128, 0xc4c2b85c, 0xb365fe43, 0xeabf803e,
+    0x12413cd2, 0xfc4eb412, 0x252f24f9, 0xf88bc1f4, 0x77f4cac5, 0x9c59a38e, 0x4994bd2f, 0xb833ceb0,
+    0xa34e6fd1, 0x3c8b6120, 0x30c15974, 0x9ce98357, 0x9ab6d3a9, 0x6699e390, 0x88e45ce2, 0xb53912fb,
+    0x4e585dd5, 0x6d8b35b1, 0xd299cad9, 0x0a5bb4d1, 0xf53a3019, 0xffa1496b, 0xb3c355f6, 0x24d324e9,
+    0x74765f6a, 0x20d9f305, 0x9cd34e86, 0xb0587b79, 0xebb5c0d0, 0x1395c538, 0xcf2e4609, 0x70b9cf17,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000004856672\
+                         23056432267729865476705879726660601709763034880312953102434726071301302124544 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c,
+    0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c2, 0xce833286,
+    0x00000000,
+    0xf4b00eb8, 0x43d5a983, 0x2fec7231, 0x6d273ca9, 0x116415a7, 0x50e9671f, 0x794a8675, 0xb5809a53,
+    0xf21a312d, 0x995fef50, 0x67f53475, 0x2a7dd2ab, 0x39a4b204, 0xe23e5543, 0xb148b183, 0xcedcf85f,
+    0xcc8660f5, 0xb30553e1, 0x6fdf119b, 0xb9b5f678, 0x2d87b3e9, 0x4c0d2ac9, 0x0d48bbc8, 0xc31b00e1,
+    0x964a8925, 0xf6a7069b, 0x809e7da8, 0x29025fa3, 0xf0ed91a8, 0xb8ebf9ec, 0x31e8be4a, 0xeda62c32,
+    0x4e5fd356, 0x8091c028, 0x7f240ee8, 0x8840d54e, 0x0b03ab09, 0x277f237f, 0x1431ebb5, 0x5b5e9135,
+    0x2e328f00, 0x15064a24, 0xb2fc1397, 0x8f882be7, 0xb51c82b8, 0x6e3246a7, 0xc32c2932, 0x35320b89,
+    0x73a807db, 0x27ab93b6, 0x75925eb3, 0x9433f19a, 0x5779f077, 0x2c17ae70, 0x2fd3b346, 0x8a3f5373,
+    0x44e86e34, 0x3ecf392f, 0x123be806, 0x0cfc5936, 0xa07ff7db, 0x22a4819e, 0x27507f64, 0x30fb1e6f,
+    0x6c4da7ab, 0x7fbd7872, 0x41963d00, 0x9861d4ce, 0x63507d6e, 0x54d43fc6, 0x39022e1d, 0xd33b8347,
+    0xc2f68ba1, 0x8ec2b2e8, 0xec4f061c, 0x3653eace, 0x8deb8b26, 0x2240f06d, 0x47aa97ef, 0x63f4a626,
+    0x11630717, 0x9dbd0cec, 0x0316c692, 0x425bd471, 0x23f9f51a, 0x9df6cb4e, 0xe5bd1343, 0xa21901c6,
+    0x9f49eb73, 0x08fe8a3f, 0x9deca009, 0x3400a81d, 0xe3523efe, 0xb3d2f521, 0x5eaafeb9, 0x486d046d,
+    0xed04c1e3, 0x7522a0e1, 0xe88c4d42, 0x86024454, 0xde779c75, 0xe3e12564, 0x490f4902, 0x33a1bcc2,
+    0xe5c4b827, 0x8091b320, 0x4900611b, 0x0a68f48c, 0x14f093d6, 0xc94bd155, 0x786bc89d, 0xe7950fe7,
+    0x37e7408f, 0x62137d62, 0xa92e21ae, 0x65d2b0e6, 0x1e303bf3, 0xda1dd1fb, 0x8d0d9af5, 0x6b8dd273,
+    0xe10021c1, 0x59c4bb21, 0x48b9c8c4, 0x6a591197, 0x3b3e107e, 0xda4ce3fe, 0x7ef8b001, 0x8ed24146,
+    0xca981a85, 0xd4ab3821, 0xa202df47, 0x3cc0a95e, 0xab4710b0, 0x35e6d57a, 0x7a476904, 0xcf48e837,
+    0x54d56230, 0x88c8e5fb, 0x214d24ec, 0x98ad8651, 0x3fb6a324, 0xe2059537, 0xbd30382d, 0xe675a4b8,
+    0x1737c940, 0xb695aa8c, 0x3c047c5b, 0x9266a6ae, 0x6232cbfc, 0x1159188c, 0xf5d09fcb, 0x12d0b0a2,
+    0x106f8bc5, 0x0dd96642, 0x496a0cff, 0xa549ed4f, 0xa4f29a20, 0x79b92b90, 0xbca5660c, 0xc222426c,
+    0x5ecfde32, 0x426b1cf5, 0x7d74f74c, 0xc4d04d34, 0x8c76a735, 0x0e346252, 0x73afa9b2, 0x9ac342f4,
+    0xb05c6210, 0x65f9bdee, 0x07447d04, 0x5720815f, 0xcc31af54, 0x12057bd7, 0xd4eadc99, 0xaf2216a4,
+    0x7687a698, 0x76d233c9, 0x44288e02, 0x752b9652, 0x59cf5aab, 0x5bbe1f92, 0x726e140c, 0x27c28fe3,
+    0xd1da2ab4, 0xf114f712, 0x81cf9211, 0xecaf156c, 0xce4cdba2, 0xdaaeb71e, 0xb5893e68, 0x0d68e707,
+    0x28cdbbbb, 0x54837cb2, 0x6a8c8fb3, 0x73edd5d2, 0x95e607f1, 0x8f3246f4, 0x9fd8f129, 0xe9c55bd5,
+    0x08500bad, 0xcc73e40b, 0xc512b339, 0x88d87e3a, 0x97562fee, 0x93506efa, 0xef07e66e, 0x76d29a99,
+    0xc884aec1, 0x343d9367, 0x5769fda6, 0x461099a8, 0x177e146d, 0x3fe58c06, 0xf475e924, 0x5a63246a,
+    0x7439ae15, 0xa9e3fd82, 0x72e97c7c, 0xc83de10d, 0xd194852f, 0x92cca588, 0xf039777f, 0xd6e4f415,
+    0xba79d208, 0x017ef0c0, 0x195c9eeb, 0x45912688, 0xe5db7088, 0xa1aa7c2d, 0xca5d9649, 0x3c3ab9a4,
+    0xfae5d27d, 0x06ef4517, 0x6d8fa567, 0xa1c53589, 0xb8394445, 0x9cc02288, 0xea8b9f16, 0x1d3ac2ff,
+    0x062e94d8, 0x8616a83b, 0xf42e57ff, 0x00976d67, 0x6c46a221, 0x78bdfa43, 0x1744d7fb, 0xd3a95804,
+    0x58bc8daa, 0xb4a02b18, 0x853c971c, 0xcac7d5bc, 0xb4cb9e5e, 0x51b47169, 0xd76d2653, 0xd7920a30,
+    0xb5d8eae8, 0x0b85e130, 0x90338cb4, 0x728ff21d, 0x07bd519d, 0xf39bfead, 0x97b3fd7e, 0xb3224464,
+    0x409cdef0, 0x838fda21, 0xe7f4e1d6, 0x13b1421d, 0x0ff520ea, 0x7070068a, 0x3b17e106, 0x452c1f0d,
+    0xf21a7546, 0x58acb938, 0x991aa1da, 0xf0ce5f28, 0xddd60fc2, 0x12d8a268, 0x6d5a4b3e, 0xd3f29db2,
+    0x88000a73, 0xfd7d3fcc, 0x40f6faa1, 0x9122d1dd, 0x64d5e143, 0x189294d9, 0x8df21d64, 0xae92875c,
+    0xb2f7cbb6, 0x8a965442, 0x493e7cc3, 0x4406aeb4, 0x852d138a, 0xfc9f73fc, 0xd69bf423, 0x787d8baf,
+    0xcb513bd5, 0x5a0cd622, 0xf8c6e254, 0x7ec159d1, 0xa0d72827, 0x317937fe, 0xefd95b6b, 0xd6ef2942,
+    0x7a719fbc, 0xf25da42e, 0x1e08d88e, 0xd7a9dc74, 0x2496f71c, 0x55c6362a, 0x1b8961a3, 0x027be601,
+    0x3a5643ec, 0xf2f5ed3a, 0x72438149, 0x2f2353a4, 0x1f065934, 0xd1b5bfe7, 0x4a627174, 0x4a5da573,
+    0xe3f8a001, 0xe3f68bdf, 0xa4f3a0c6, 0x863b4703, 0x5fc78fb9, 0x59796db4, 0x0c134554, 0x8d201d44,
+    0x71e2e9ad, 0x81415dc3, 0x9478bdc8, 0xf5c911d7, 0x8c827e84, 0x3c4856f5, 0x6987a058, 0xde17d8d4,
+    0x284fe95c, 0x6a6e65e8, 0x21ed998b, 0x6557dbbd, 0x0af79506, 0x7efd6de2, 0x5fd42467, 0x592b378e,
+    0x10264026, 0x4976c906, 0x4261ff85, 0x5f9f4503, 0x72706084, 0x9fd812fc, 0xb5c5c101, 0x79836fe0,
+    0xb666d52e, 0xf115e25c, 0x4d67e89a, 0x4b7fb89a, 0xb149976e, 0x97bd970b, 0xb8d54ccd, 0xa1b1c8d7,
+    0xb8e662c4, 0x2f325056, 0x53c9e951, 0x0be1aad3, 0x8591cf05, 0x6cee86d0, 0xf6f96c48, 0x3856eca7,
+    0x5679eba9, 0xd98631b6, 0x990157d1, 0x4f6792d0, 0x0648e86c, 0x5346a683, 0xe14ed597, 0x69fcc9e1,
+    0xf0fc154a, 0xc530763b, 0xcadd9e05, 0x552a1697, 0xc4e857b8, 0x39db7fdb, 0x3383b2c2, 0x7cd2c3d3,
+    0x3f4d0565, 0x2963fb5d, 0x6d979791, 0xecd649ec, 0x26dd93ef, 0x2d08e701, 0xed3a6d1d, 0x6735dee5,
+    0xe3096ca5, 0xf1b67c7a, 0x8157e244, 0xefa95b95, 0xccf88063, 0xc8c5a315, 0x86ec0b75, 0xcd8f6e3a,
+    0xb987edda, 0x4e11e5cc, 0x1f248d83, 0xbc6e7991, 0x75ca98d0, 0x492dc418, 0x3b6cb5bf, 0xef42eedb,
+    0xbe230311, 0x130a71f3, 0x5ca7c59c, 0x44b81d1b, 0xe0864452, 0x1512f7b2, 0xf1ed7808, 0xe7e9b9b8,
+    0x3fe6a5b2, 0xaa3afe76, 0xe9b6867e, 0xa56238fd, 0x5b6d8f7d, 0x53ea2509, 0x3e216035, 0xbebd329e,
+    0x1c62c0d8, 0x3309fa0a, 0xda058e04, 0xccff8594, 0xb759ad88, 0x964aba21, 0xa0bb6599, 0xbe78f085,
+    0xcf5fcc49, 0x9a9f93fc, 0xc85adfc6, 0x3f32ce4d, 0x1f2a481e, 0x39fda303, 0x8d52e64f, 0x02f176ca,
+    0xac4a3e86, 0x93c5fcf1, 0xaa1209cf, 0xefcd7e9b, 0xf35f9326, 0x75fa75e9, 0x8804cafc, 0xf7d581a8,
+    0xd68ca1e3, 0xfc4bf82f, 0x739ffffa, 0xe8592df0, 0x142f7a21, 0x85cb6660, 0x578585e3, 0x38924c9f,
+    0xbc24c837, 0x1d75a393, 0x48b90d3e, 0xa2530d4f, 0x78b01e23, 0x837fc787, 0xc4171c82, 0xb6987995,
+    0x7ce2f0ca, 0x7d23b52b, 0x95e7a911, 0x8b002fc5, 0x356d7d7a, 0x0bac6d0c, 0xa89df50c, 0x18c09e15,
+    0x6c24b66b, 0xdea5c506, 0x6e536b20, 0xbaf43267, 0xaa8aa2a3, 0x96f8816f, 0x8db1f62d, 0x8d72b971,
+    0x52460e1a, 0x0627a2f2, 0xe64c2707, 0xc84dfa93, 0x963d05c3, 0x9269a773, 0x309eab33, 0x18057d7a,
+    0x513be83a, 0x59d29a28, 0xcae9196c, 0x73597d78, 0xc3e2d719, 0x5070ce2e, 0x93be5450, 0x93a9ef50,
+    0x2525318b, 0x089aa01a, 0xf784ef72, 0xf33a06bf, 0x3df69d9e, 0x2bcc2951, 0x706ab922, 0xb6ccfa39,
+    0x672af20d, 0x39466e67, 0x7dcdc3f9, 0x8c517ca0, 0xe5fcf32b, 0xffcbb9ec, 0xe162defb, 0xacce9c2b,
+    0x95564089, 0x325ca550, 0xd8ec7d12, 0x52a6312f, 0xa690eaf9, 0x3f4822fa, 0xa1a633f6, 0x9121d12f,
+    0x704845dd, 0x2f6223d3, 0xa13ef84d, 0xdf9cd9cf, 0x2e6f5a14, 0xbd3ee05d, 0xd4dcfd67, 0x83a16c9b,
+    0x5b328ace, 0x90cab7be, 0xb70daa53, 0xbdd39cf1, 0x56519ff2, 0xf066e8c6, 0x13fecf61, 0xb43bca67,
+    0xd50e2b54, 0x428fbe95, 0x52d5691d, 0x748effd9, 0xf961f126, 0x7f679bc2, 0x9b041dd6, 0xbe5acbd6,
+    0x64f742ec, 0x7a67abef, 0x2f809860, 0xc6d35310, 0x5db3237b, 0xdf2018b0, 0xe3cff1c8, 0x487378d5,
+    0xc8f7e624, 0x416f455c, 0x5864bbb0, 0xf0f491e1, 0xf42e02c4, 0x3da5757e, 0x170aa711, 0x149bc0b1,
+    0xb612696e, 0x19da5115, 0x53959233, 0x0726a191, 0x9510df84, 0x5628453c, 0x6ea66236, 0xdb83e387,
+    0x06c18630, 0x6975d09b, 0x4e9eccf9, 0xb8b05ad0, 0x1730c2b7, 0x6040dfd0, 0x1cd00981, 0x84c66b53,
+    0x782e5602, 0xb7f7cbc5, 0x39c15bef, 0xb60c782c, 0x349259e1, 0xf692ae03, 0xa2cab7c4, 0xf92e8035,
+    0x28af156a, 0x182db8cb, 0x9766af85, 0xb6a24a71, 0x80c56b11, 0x9ef097c1, 0x4fd2ed86, 0x90232494,
+    0x42468a3f, 0x9a6c14cd, 0x0b3d0014, 0xbcfab65e, 0x84ac4db9, 0x24777cc3, 0x06c1ec63, 0xbea0d18c,
+    0x577744e2, 0x6fa8ac9b, 0x4011d288, 0x21bcc05e, 0x2723e617, 0x26f0dd33, 0x05f194d4, 0x822d872e,
+    0x059f5d76, 0x381f0a2d, 0xff0b5285, 0x1c1c3d72, 0x155e27ec, 0x2f89b856, 0xd430b398, 0x0d915c1f,
+    0x9bebc666, 0x8c8b4a63, 0x3b76212c, 0x9267bee0, 0x5e02d910, 0x8a53e3fd, 0x9e13f2c7, 0xa1373d2f,
+    0x3733614a, 0xdd048dcb, 0xe58e2238, 0x752d5d57, 0x34f2612c, 0x4f2f8102, 0xf82a5502, 0xbd09fbb2,
+    0xade90a31, 0xe403c01a, 0x3c4c963a, 0x0c5bcb19, 0x081bb1f3, 0x198659b1, 0x9456aeaf, 0x2988a5fe,
+    0x96de5d41, 0x610b3c90, 0x350a3daf, 0x64be58b2, 0x30044d9d, 0xfda05ec6, 0xa0b74c2e, 0x0931b2f6,
+    0x659bbe70, 0x6ebd458e, 0x38b338c0, 0x7eae4eaf, 0x6524c5a3, 0x436e616e, 0x42fea4fe, 0x17f3f0b4,
+    0x40157b68, 0xc9f1abb5, 0xb33e1db7, 0xccaddcb0, 0xb6db86ca, 0x37c8ea64, 0x2fbae477, 0xea822de3,
+    0xab861d0e, 0xd97ff869, 0x1e7e4d27, 0xd34d3ddc, 0x428936b4, 0x6b2db943, 0x2521be6a, 0xce2aefde,
+    0x280126cb, 0x5556eff6, 0x5e4d1ae2, 0xd6af272a, 0xaf9747ea, 0x1d7b6efa, 0x2c12ad32, 0x64ecf912,
+    0xc6a0bf24, 0x8df69467, 0x563c7fe5, 0x4be20b28, 0xd153c155, 0xe43f96e1, 0xd2964d16, 0xa18fa957,
+    0x00fc49df, 0xcb2b6f39, 0xa65ce352, 0x1bf3bc7b, 0x528baa24, 0xe8a4a84d, 0xd1918c4f, 0xb5a81ef9,
+    0xf958c91f, 0x7b1d966e, 0x41071c29, 0x35c6934f, 0x59e2c184, 0x81ec0225, 0x8f5d5010, 0xa86b817c,
+    0x8f762ff9, 0x0ba6874d, 0xecd49b39, 0x3129629f, 0x0533465c, 0x527463ea, 0x049409dc, 0x2ce0aa90,
+    0x18834189, 0x184016ab, 0x5607ac34, 0x679aeae2, 0xe4d3df5d, 0x985031a7, 0x18c37db2, 0x86f044c1,
+    0x32116d9c, 0x1907d26f, 0x58e60d68, 0x70875b84, 0x2f2f4f7a, 0xace4e265, 0xa22fdfb5, 0xad20de4e,
+    0xc2f196a9, 0xd2e17580, 0x4cd89fce, 0x4601de61, 0x0d15608c, 0x86dceac5, 0x5e0dd17c, 0xbf49d716,
+    0xaed68346, 0xeb9d1228, 0xc099803d, 0xbe4bcee9, 0x70d97b4e, 0x92105846, 0x6f670f8a, 0xb0d22baf,
+    0x223214ba, 0xe626e306, 0x77ebbe78, 0x23e6f3f4, 0x6db50bd7, 0x2fadbc11, 0x85c4b6ee, 0x246e9614,
+    0x23626443, 0x93222ee4, 0x790cdaef, 0x2961fe45, 0x0a2387c5, 0x9c11cade, 0x737f9dbe, 0xb5299e41,
+    0xafa421e0, 0x4a03ac0e, 0x600ceb2e, 0x168f208b, 0xf12e45e8, 0x43e77105, 0xa32df7e8, 0x976d08f6,
+    0xd4f52a97, 0x9d0fec0a, 0xaac161fa, 0xf40abf6a, 0x05f3adaa, 0xf81bb05c, 0xe4a10053, 0x1b03212a,
+    0xfcebd980, 0xb7d87242, 0xd43516cb, 0x1aa32c6f, 0x2b265875, 0x99330471, 0xdf88173c, 0x8055804b,
+    0xa841dc83, 0xd09588c9, 0x1de409e7, 0x73bd9f65, 0x3f5bd5a5, 0xbee4968c, 0x99b52289, 0xff704951,
+    0x1a1f0e53, 0xc26ccfe2, 0x9513cd78, 0x3eaf059c, 0xf48089c6, 0x48fb6cf6, 0xdc25c521, 0x758cf5cd,
+    0x07e8600b, 0x44ee7e02, 0x4044fb3f, 0x2322015e, 0xf01dafec, 0x7fbc9830, 0x779fea9c, 0xedb408d8,
+    0x95401425, 0x61c3d200, 0xe8a1491c, 0x2d07243a, 0xb8a3097c, 0x6305efdc, 0x4bfd681b, 0x9fc4583e,
+    0x5529b9a3, 0x614546ac, 0x463309f0, 0x42f20f20, 0x4415cb0c, 0x5c831ab9, 0x0359db08, 0xaf891cbd,
+    0xe8f15e72, 0xe858b920, 0x12558a26, 0xf9d2fc40, 0x7742d60e, 0x1dfbfadb, 0xab06e1e3, 0x6d0fbc32,
+    0x2dbd4554, 0xb5e77a68, 0xc7193082, 0xa1d7f0ba, 0x8cf4cc6d, 0x7a92d9cc, 0x1762a922, 0x87a759f8,
+    0x5313861a, 0x3c37f125, 0x1ef2bf8f, 0xebad50e3, 0xe52eeb04, 0x93ba7034, 0xdb7c712b, 0xbea4ea2a,
+    0x76ca8568, 0xcf7e8c37, 0x070454f6, 0x57c3260f, 0x9b7d235f, 0xc603a203, 0x25f58dac, 0x0e4e31ff,
+    0x6c3a3b5c, 0x99c3c683, 0x102dea88, 0xaefb6be1, 0x0cf59ba3, 0x000eca11, 0x882e0700, 0x0fd0ad4b,
+    0xc407eb06, 0xb2617711, 0xed6ecf0d, 0x9ace5d5a, 0xceef7b0c, 0x7a213a89, 0x2d5230c3, 0x842fe200,
+    0xe077e989, 0xc5699a73, 0x4420a3c3, 0x554885cc, 0xdd5c3903, 0xce3569f7, 0x0f7dd37b, 0x80a7d659,
+    0x4c766c93, 0x28403228, 0xa4c9ca71, 0x600da00a, 0x4e1ed19a, 0x259f0701, 0x5309398a, 0x3f0cb24b,
+    0xba8cf4d1, 0x2b93563e, 0xa1afb8d1, 0xbc1a300c, 0x6989dc87, 0xf5ce8f6d, 0xb9fe2cda, 0xe33897db,
+    0x6c0486d2, 0xb56b54d9, 0xb269de67, 0x09738273, 0x6bb37b28, 0x7852ac82, 0xd2039657, 0xdf5bddac,
+    0x174170c2, 0x57058105, 0x55d4b174, 0xa5a400c0, 0x4de14ec0, 0xfa46e8a9, 0xf5a51038, 0x146d7d64,
+    0x6b62862f, 0xfba414fa, 0xcc821269, 0xbc771c95, 0x48e220d2, 0x288604fd, 0xd562824e, 0x2d03729a,
+    0x2d783696, 0x876acf0d, 0x07e11b1a, 0x8e0b35d9, 0xa00b0278, 0x38efef0d, 0x702fea48, 0xb2837200,
+    0x52f1e614, 0x602f811b, 0x856fcadf, 0x234e5140, 0xe21e56b2, 0x5344ea2b, 0x0aaacabb, 0xf07698d4,
+    0xd65289e8, 0xd8f2e68e, 0xb9657f0b, 0x4d5a873c, 0x15c8b1be, 0x54f5afdd, 0xb973d908, 0x03e0dbb4,
+    0x912bd4d5, 0xb21ce691, 0x0bdfd56f, 0x4e98b372, 0xbe081d01, 0xad1c57a9, 0x58378b7e, 0x173e40c1,
+    0x651c2d7d, 0x5d07c415, 0x71cc11f8, 0x224ae501, 0x507d508f, 0xa0241f01, 0x997fdea4, 0x5b0e29da,
+    0x055d948c, 0x3c3f4b7d, 0x84783e8f, 0xbaecaefb, 0x42f0302e, 0xe17ffedb, 0x46fa0ead, 0xa2bd759a,
+    0x2ca3f2c6, 0x5d927154, 0x0a7d47cd, 0xa28c1fb5, 0x6f6200c8, 0x21b35da4, 0xb1e50b7d, 0x6fc7d1ef,
+    0x079f564e, 0x3d4a486e, 0x498081c9, 0xac41ab6d, 0x38f290e0, 0x53ddff50, 0x16301854, 0x38d0f7be,
+    0x920eef5d, 0x390c1707, 0x605d9c07, 0x343c858c, 0xa1f19d90, 0x2f4f9acd, 0xf4d4550b, 0xc690885f,
+    0x3e6157c6, 0x8ed16548, 0xf5d17c80, 0xd7b28baf, 0x25b702af, 0xd990efdb, 0x8a48cbf0, 0xe142b8f3,
+    0x42244ec1, 0x9e66d8cb, 0x9570cada, 0x32ab3593, 0xe0af6ccb, 0x97471191, 0xc3e312b2, 0xf6f86622,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000002428336\
+                         11528216133864932738352939863330300854881517440156476551217363035650651062272 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e,
+    0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e1, 0x67419942,
+    0x00000000,
+    0xfa47ab57, 0xf2e06cb8, 0x5ce73e92, 0x3fe77051, 0x9611470b, 0x27665e99, 0x44a74ccb, 0x2940bae2,
+    0xc2ee11c0, 0x2ac2e490, 0x881508c0, 0x7a4c4e57, 0xa6f84cd2, 0x5e35f168, 0xe7b6f818, 0xca0dddd5,
+    0xa70bbb5b, 0x1fb97932, 0x01d0bed1, 0xe01ae49b, 0x75508586, 0x0e6295d9, 0xf8e69776, 0x5ff5d097,
+    0x822715b4, 0x5136201c, 0x5a3f65b9, 0xbed75447, 0x52e955c7, 0x70088224, 0xeb58647e, 0x2c56c433,
+    0x50bf41dd, 0x8bbd8397, 0x32d157e5, 0x21b4abdf, 0x8964d406, 0xf25c2a47, 0x8455d071, 0x5a8c071c,
+    0xa655d0f8, 0x36ff315b, 0x7acac448, 0x372f64ac, 0xfa17d271, 0xdb0c97e6, 0xc7cf4c90, 0x28be3879,
+    0x9940355d, 0x40292be4, 0x582ed917, 0xa75d7d4c, 0x6de017b5, 0x6048ebfe, 0x2355317e, 0x74c36a3a,
+    0x6adfd93a, 0x2b1e1ae7, 0x2f01e1e9, 0x42ff57fc, 0xc746ccd4, 0xa566dd15, 0x3e4258e2, 0x961f3622,
+    0x0b48d949, 0x161aecde, 0x91dd687d, 0x843f9856, 0x796ea05c, 0x4e74eca5, 0x171d183e, 0x5e5280ac,
+    0x55b49990, 0xd57d5958, 0x59af17f2, 0x50afb60b, 0x91f988cf, 0x44bd4a65, 0xa5c9bf02, 0x3d06e1c0,
+    0x79f88137, 0xeb14fd19, 0x2bc244a6, 0x5ac647bf, 0x43d0ca70, 0x9e508607, 0xc4fe034a, 0x0f3b1c88,
+    0xe2e8752f, 0x44067ee2, 0xc8470560, 0x118921fe, 0x69705386, 0xb403e5e9, 0x03b6f9e0, 0xf906d851,
+    0xe729f9c5, 0xdc465711, 0x3eec23df, 0xc295ca16, 0x469f12c3, 0x7fe47b23, 0x2d927b68, 0xdfe082c4,
+    0x6d32e687, 0x4b45e579, 0xcfcf56da, 0xe1cfb96b, 0xab16d25b, 0xbeb47b07, 0x0a88231c, 0x737c671e,
+    0x1540b089, 0xf84a29fe, 0xb1368d95, 0x207414cf, 0xa072a7ad, 0x5cd81ca2, 0xc5a18878, 0x194549b7,
+    0xa1f74b00, 0x6f9673ad, 0x20de660c, 0xb9583e2a, 0x81864a39, 0x9e032536, 0x5e277200, 0xb3f30153,
+    0xc7496899, 0xcf3ddea2, 0x758825a5, 0xfd748f9f, 0xb9e892c0, 0x2bbaaded, 0x8395eef9, 0xe0dedfc7,
+    0xb69628ea, 0xff4dcb67, 0xdcc4b78c, 0x8314c17a, 0x184319aa, 0xb2499732, 0xc0be7bca, 0x5350169b,
+    0x11ec5fc2, 0xceac424b, 0x3476f19a, 0xc54a1a1a, 0xb192cedf, 0xbee9d851, 0xd5ac9853, 0x2da56460,
+    0xcc172fb1, 0x968ca09b, 0xf7dd14cf, 0x11356b02, 0x80d4eb5c, 0x56561444, 0x99c5ab17, 0x1eb36897,
+    0x524a7a39, 0x41dc7bf6, 0x42ecedc5, 0x5832c86e, 0x581cd936, 0x075ba864, 0xda3493dd, 0x7191740f,
+    0xd0352276, 0x2b5aaf15, 0x3d68dcbd, 0x1d33aeb9, 0x2474b98f, 0xd26e5303, 0x9735a087, 0xca36609a,
+    0x9ed7ebf8, 0x6889b2a5, 0x86722337, 0xafa4d865, 0x40bee7f5, 0x9e9e5eed, 0x479b9f39, 0x9305712a,
+    0xbb86a0f1, 0x2feb0167, 0x9d10787a, 0x3eef57f7, 0xcbd37a29, 0xc7c36d91, 0xebef22ad, 0x6e95c274,
+    0xa35c430d, 0x6cf2d1ff, 0xbf41b7c8, 0x73010aad, 0xf1825261, 0x71192993, 0xe36778b3, 0xb64f97ab,
+    0x7be6bb3b, 0x1ecb0e42, 0xbbd29ee9, 0x98b2ac3e, 0xf5f89772, 0xa6f43b71, 0x95d3de30, 0xa0d44b79,
+    0xafcf290a, 0x20c97747, 0xd93e17e5, 0x1c6bbc95, 0x5ecd15cc, 0x8c911d28, 0x640ec98a, 0x5fe23233,
+    0x19b067f7, 0xa06e365f, 0x78cc316f, 0x53f66f9d, 0xa1b8a6af, 0x01130289, 0xbb58203b, 0x6df5dc0e,
+    0x1a074f8a, 0x67ac5e5e, 0xff10cf1b, 0x441b1a05, 0x2f452b8a, 0x85aab0e4, 0x26917350, 0x548c66e1,
+    0x1463d22b, 0xb91b6419, 0x370e82e4, 0x7fca96f0, 0xb16b3f43, 0xfc141e91, 0x765c0b3a, 0xa920198e,
+    0x6dd5f7c6, 0x15dda977, 0xf9451a6d, 0x5e375a2e, 0xddc919d1, 0xe68f62c9, 0x5d91ae67, 0x8bd17069,
+    0xda7a2731, 0xdd99dedd, 0x78bdcdb0, 0xd6ac896e, 0x66359e43, 0x82e1d0c1, 0x00a530af, 0xf97a0698,
+    0x454e0297, 0xac7458b7, 0x49074e35, 0x84baacec, 0xe7d559ec, 0x7bb1fc0b, 0x1bd082f1, 0xa387d454,
+    0x952f80cc, 0x9c9ea45e, 0xfa18b4d6, 0x276f154a, 0xe552ba4f, 0x41f3736c, 0xef33885b, 0xb1286ff9,
+    0x66435928, 0x64f1aefb, 0x70387475, 0x2f576b40, 0x79f1d53c, 0xcfd4819e, 0x9a83f39f, 0x828b0ee9,
+    0xe7db96fe, 0x8035ddc3, 0x0745bc59, 0x198b681f, 0x54ab1357, 0xf0ab25d6, 0xa0f37b8d, 0x753aab04,
+    0xd9b6825f, 0xe85c2b37, 0x66285274, 0xf7403a6f, 0xa83720e3, 0x8bb3657c, 0xa5b89525, 0x8da2910a,
+    0x659015a9, 0x7dc52e72, 0x4d14e06b, 0xa2b04866, 0xc0e3c592, 0x841794b8, 0x24a41192, 0xb2d9cafd,
+    0xd4b36823, 0xf3ff0538, 0x2c02b5be, 0x326438b0, 0xba3067c4, 0xc1336fbb, 0x3b5d8ac7, 0x73690069,
+    0x2ddd2f1a, 0xadaa9681, 0xb4d0cb55, 0x7d422cf5, 0x6c53de56, 0x41ccb446, 0x2228632e, 0xf3a77d2b,
+    0xdc7d8d59, 0x6331837c, 0xd8203b79, 0x352b53cb, 0x23c1f0f7, 0xa8629678, 0x11f800db, 0x8dea2c68,
+    0x19dd7313, 0x25c1e632, 0xff68ae12, 0x0ff1eebc, 0x48fd1307, 0xee6a05cc, 0xbe3edc3d, 0xeb608a04,
+    0xa55bdadd, 0x160a7a8e, 0x2434ab03, 0x9b07c693, 0x20df158f, 0x52a9fcab, 0x7790e14c, 0xeeb3f1d9,
+    0x2b318ffa, 0xa2279316, 0xe835da23, 0x35bdfb95, 0x3d187d28, 0x88896679, 0xd3480902, 0x565151db,
+    0xb6866bde, 0xc20253a1, 0x375f66f7, 0x9d11e51c, 0x62083df5, 0x81759439, 0x74bedf65, 0xe86aafa6,
+    0xe81b9495, 0x033817d5, 0xd9c5eb24, 0xc4b9a366, 0xb2824c5d, 0x92d0386e, 0x31f46fd1, 0x7c32c194,
+    0x9278e7ce, 0xbcc0f506, 0xfe20082e, 0x8b4aad87, 0xd03039eb, 0x59e27d5e, 0xb2087445, 0x202262ee,
+    0x7f77fce9, 0xafa2f279, 0x681335b2, 0x033a8570, 0x746097f1, 0x5bf1988e, 0xc1ef8f17, 0x51ce8a8f,
+    0x64043675, 0x23646011, 0x839dcd04, 0x594a878e, 0x9757511b, 0x44a6a9d0, 0x401a3ca9, 0x82a9ea5a,
+    0x34adad85, 0xc0db40e6, 0x52033c70, 0x6026398c, 0x34a3ed96, 0x97e574a5, 0xe2294fda, 0x2f17f2a4,
+    0x4236ca9c, 0x2490ab74, 0xde73a665, 0xd0a81082, 0xa1c93829, 0xabb41020, 0xe93c61c1, 0xf2a91249,
+    0x768c2040, 0x6a5eacc1, 0x91f3b819, 0x352a49c2, 0xa63f2e33, 0x02e4758b, 0xe3a52e57, 0x49878d6c,
+    0x6f1b1b70, 0x651b73a5, 0xae342571, 0x6e392d47, 0x2049d619, 0xcf63469d, 0x10b6563f, 0x685de6b1,
+    0x30210400, 0x3258e4ce, 0x9c35c0bb, 0xf53eb277, 0x31c047f1, 0xace5af11, 0x523b0d98, 0x7b5f5e8e,
+    0xe9ff9afe, 0xd01271d8, 0xee0a0634, 0x23c60b1e, 0x872437ce, 0xc13c9de4, 0xff94cd4c, 0xe56288b0,
+    0x0442f4b5, 0x4a16fcda, 0xaa894073, 0xc8757dc0, 0x3161b3e2, 0xa3acd9dd, 0xc764be04, 0xdefd653e,
+    0xdc10d9af, 0x79cdf6f1, 0x485485a1, 0xc62ebc9d, 0x9dd5eb3b, 0xbf7d0cdc, 0xd6a0ade7, 0xd651c4c7,
+    0x46b505b2, 0x87009923, 0x725af5a9, 0x39bf2e75, 0x653b957f, 0x9cbe07ea, 0x9ef8ddee, 0x98c8a8a4,
+    0x5ce85444, 0x9ee52176, 0x4fbdecf1, 0xde76d3a7, 0xd18692e7, 0xaefb5bf6, 0x73c08184, 0xb4c9ab34,
+    0xa58ced8e, 0x4fc8f46c, 0x85fec42b, 0x5114f8a6, 0x80091f38, 0x606da98f, 0x71ef0ac9, 0xd07b081c,
+    0xff659b6f, 0x24d5799a, 0xc071d6b2, 0x26ac9f44, 0xc66717f5, 0xe1d08663, 0x059e13cd, 0xaeaa0612,
+    0x817f46c8, 0x8c908bf4, 0x644ae3f4, 0x57d98231, 0x29e9d271, 0xff49d0a8, 0x6caccf58, 0x31107703,
+    0xd674be05, 0x11286e94, 0xd8828d3b, 0xed1d4b98, 0x494c4b23, 0x1cfe3570, 0x327df842, 0x991e5594,
+    0x2993cef8, 0x35193109, 0x3b24d885, 0x1ac819ac, 0x7aebfb22, 0xc5f2eac8, 0x51b764e1, 0x8c9c8b4c,
+    0x22db2641, 0x2f76ae39, 0x045b0f84, 0x8e177e26, 0x575038e9, 0xb596de5d, 0x9a1a009f, 0x6dea25cb,
+    0x9f511abf, 0x7f935e31, 0xa2643d22, 0x52c67506, 0x9ba810ed, 0x37a49133, 0xbe4b7a5f, 0x9d745786,
+    0x3526dc6d, 0xd4821ba7, 0xf082c3c5, 0x2d0067b1, 0x7a3fb63f, 0x95d89157, 0xd8bc780e, 0xb3f23a4d,
+    0x496a0eaf, 0xab8a1029, 0xbacd8487, 0xaaa46e77, 0xd3666a2a, 0x11361452, 0x09d0c558, 0x84bf33a1,
+    0xb7030906, 0xaa004658, 0xa0987eaf, 0x4990f407, 0xc5f73eb2, 0x4c17cb6f, 0x6bfaaec9, 0x16c402f4,
+    0x52ca8448, 0x443e08c3, 0x2fb0348b, 0xb60675c4, 0xc5e38ffd, 0x6e5808e2, 0xdc18725e, 0x0f76d099,
+    0xae8b7e79, 0x16de56c8, 0x4001dd77, 0x20821cc2, 0xde7e5cee, 0x9ac20cf1, 0x77511f1f, 0x1fbe1047,
+    0xcd922f1e, 0x3194fa5d, 0x37661f28, 0xf9904a73, 0xab0a44e2, 0x41ce185a, 0x9fbabf4b, 0x0a7f205c,
+    0x529ee3e3, 0x38374621, 0x2d15c134, 0xa782b29c, 0x113a4cf9, 0xd225ec43, 0x92a52296, 0x0fd33bd6,
+    0x7f8b22fe, 0xea4720e6, 0xdf8cc0fa, 0x80bda146, 0xf3545661, 0x4b245a7d, 0x0bf283b8, 0xe9c86e37,
+    0x9e69841c, 0x7ca8d890, 0xdf9bcb95, 0xa24a0a6c, 0x20342c78, 0x6a5d2c65, 0x83dcfd2a, 0xb9975e02,
+    0xc1e6442c, 0xb9fb9b71, 0x2917d050, 0x6b8ebaff, 0xb92d283e, 0x4eff4777, 0x3284dfe6, 0x53297753,
+    0x0d43d8ab, 0xc6416206, 0x925ca919, 0x311072bb, 0x8b26d5af, 0x58d203c5, 0x86b5b761, 0xff2918e4,
+    0x480073b6, 0x23bfde4f, 0xabda05cb, 0x6509a036, 0x4712231c, 0xbd9fb5c3, 0xb744a98d, 0x8fc05b51,
+    0x571a15cf, 0x466be409, 0x458e5c58, 0xab11ed9b, 0x76376b38, 0x726e416a, 0x46d5ca6b, 0x682babea,
+    0xaf64fc92, 0x4ae4f46f, 0xa0e70e66, 0x8918d957, 0x255c460b, 0x59a9cae4, 0xa0645f19, 0xab9423bb,
+    0xf0b7b915, 0xaf0c4628, 0xe163c51a, 0x5593266a, 0x024d24e1, 0x3cf75033, 0xba6eb2db, 0xbd711d7f,
+    0x9fdd5a31, 0x6df06bce, 0x3f609d41, 0x74ef2ecf, 0xdbeec3ca, 0x064e051a, 0x05290aff, 0xa13043d6,
+    0x36e59a23, 0x05ddaca8, 0xa51f2706, 0xd24fb802, 0x4834ab6d, 0xc22b9f7b, 0x5ae12e05, 0xa7dac94f,
+    0xf67e494a, 0x3140c3e1, 0x88884b72, 0xeda68b18, 0x98c31352, 0x37c77953, 0x1200e4cc, 0x28942473,
+    0xabfe5a3c, 0xb15f2244, 0xcd885d3c, 0xb7c59b68, 0xc936bd12, 0x30b8f294, 0x85233265, 0x8dc8f548,
+    0x2b5899bc, 0x1732e789, 0x116353d2, 0x4ac24b52, 0x03bf8539, 0xd836ba22, 0xac9378e8, 0xe3405976,
+    0x256bced0, 0x0f422760, 0x901a9665, 0xa4dd6bbe, 0xaad538a4, 0x563031a8, 0x2a57c5cf, 0xda4a10ef,
+    0x6dd86457, 0x1b3b3a7d, 0x6537aa48, 0xa4dfadde, 0x64c781ea, 0x1777a419, 0x8f35d421, 0x42d5b4f4,
+    0xf0e70e9a, 0x1e009131, 0x99107787, 0xe8fac715, 0x34bb26d7, 0x15a6f05e, 0x4cad63cc, 0x27def498,
+    0x69276473, 0xa5660ea6, 0xb541b4fe, 0xf560da6d, 0x414f7a2c, 0x073326c1, 0x6439b904, 0x815b2f4b,
+    0xfe05a376, 0xba74b13c, 0x7bf4f2f9, 0xa4b24f99, 0xd00ec8b2, 0xae6aca3d, 0x82fda109, 0x0c4c33dd,
+    0x5f803e4f, 0x3cda1984, 0x27bd5f5d, 0x6fb48128, 0x501ec35d, 0x1e756e32, 0x4c3706e1, 0x11d310d5,
+    0x23f3c3b3, 0x8d6565fc, 0xf6055414, 0xea6aa1d3, 0x423e6da3, 0x50fefcc3, 0x867481db, 0x36fa8802,
+    0x850c86cb, 0x6adf9c4b, 0xddcc5dc7, 0xf93c98ba, 0x78297c76, 0x64cea7d1, 0x4a7daad6, 0xd7a7b253,
+    0xcddcf183, 0x1eb45359, 0x9e80faf6, 0x5807fecd, 0xbe8473e7, 0x3950a6cc, 0xdbc52e62, 0xa1053efe,
+    0xdc5ed1c9, 0x4a913e5a, 0x8937b991, 0xed5b1bfc, 0x7d7c97d7, 0x07bfe245, 0x75d6a245, 0x8695f4d4,
+    0x10cb79a0, 0x5a7d31c0, 0x8dd924ce, 0x281d1b4f, 0x547ffe91, 0x2ee5ac0e, 0x96dfd3eb, 0xa233cfcd,
+    0x83c70f0e, 0x5fa7c76d, 0x4142863d, 0xa67f5053, 0x01a61b4c, 0x6fc59267, 0x3250bee4, 0xaf1da280,
+    0xb120ccdd, 0x3cdd5ff6, 0x0b349e86, 0x95e8902f, 0x893b9829, 0x3685ca71, 0x7d8f89d9, 0xe20e7a41,
+    0x5568b759, 0x9c7ac070, 0x814c0342, 0x1dbe854a, 0x1f3ec1bd, 0xa7fda38c, 0x5152e4f7, 0x68ee8e64,
+    0x81c2adcc, 0x39964a37, 0xf7f584e4, 0xd3f54ded, 0x332ade3d, 0x2046cb37, 0x343e4845, 0xb50c0dca,
+    0xc453033e, 0x17e01ead, 0xf34f9586, 0xeecfc7e9, 0x4e736f9f, 0x5db4b428, 0x2c56cefd, 0xc330c7ac,
+    0x13bbce3c, 0x777887bc, 0xcb867573, 0x2c0874d0, 0x5aad2fe1, 0x5806dbcd, 0x9e65839b, 0xa9ee28e5,
+    0xd7aa347d, 0xf2339a0c, 0xa059f79d, 0x2e91db7b, 0xd90d556c, 0x13f9c215, 0xa00e4d63, 0x914215da,
+    0xbf164204, 0xc825d753, 0xb67979de, 0x347c3c9f, 0xe042568d, 0xb14f3ae9, 0x4c40f613, 0x04984e41,
+    0x58b23f12, 0xe3b0f1d1, 0x6f023edb, 0x3854e339, 0x986bd9f6, 0xf9aace18, 0xe1d4b5db, 0x560c2b3c,
+    0x582c8c8d, 0x73423a6d, 0x2b1d7b75, 0x7eb63a21, 0xbb7b6ae8, 0xc3bad23b, 0x90fc57d3, 0x25985f6e,
+    0xbcf126db, 0xfc101067, 0x510792fa, 0x698d1cd9, 0x1ba5b4a7, 0x923f6a6c, 0xd1aa166b, 0x84c0699a,
+    0xdfc10525, 0x39bd90be, 0x6ab04220, 0x8d4c23be, 0x9cb16deb, 0x8b0e91d8, 0x6bcccc17, 0x4892f789,
+    0x5608f931, 0x4d7ac573, 0x8c295d49, 0x7a097d49, 0x1e8878da, 0x6244880c, 0x54acfad7, 0x3b94a29d,
+    0xc0e8521f, 0xfc6a56f4, 0x922ec077, 0x6dea85d0, 0x5533243c, 0xa2d3fcaa, 0x8cd97338, 0x49d436e3,
+    0x1bf2e574, 0xe3f6377a, 0xbd0fd744, 0xf2efac8b, 0x501056ab, 0xa2adfbc1, 0x306837ac, 0x9c8ea876,
+    0xed02f2e5, 0xa1263527, 0x99189bd7, 0x30c145f0, 0xe8198409, 0x1661d901, 0x49f54dd4, 0x29bbe766,
+    0x8fc5577a, 0xbceead20, 0x0267c753, 0xe1ea5729, 0xc7d6a6ae, 0x77c6d5bf, 0x5ca6d726, 0xc70e15fc,
+    0x57b8dc26, 0x997f2f90, 0x1aa1ebe8, 0x3f67b232, 0x98c50808, 0x7e6f4010, 0x38ded204, 0xd88014cd,
+    0xc7476b6f, 0xcb579a70, 0xa9f728b6, 0xefe42bce, 0x89667c62, 0xfb5de93e, 0x87608e02, 0xcf8d8706,
+    0x46822a8c, 0xb02fad97, 0x4d287bbf, 0xdedddc36, 0x0cd7f313, 0xc3c84f67, 0xdbd73390, 0x94998aea,
+    0xa2d4e590, 0xcb7e2709, 0x2ba9d94f, 0x60c3458c, 0x9b78d69a, 0xb70a689f, 0x3929e30d, 0x8a3daf45,
+    0x5564ee42, 0x4cb5c43e, 0xe110990c, 0x57ca89b7, 0x482611e2, 0x7b97de74, 0x1c9a6ede, 0xe7440cca,
+    0xa635108d, 0xfd94c88a, 0x65779129, 0x5b7547c6, 0xda6cfc12, 0x3805e433, 0xeb24f893, 0x67e70f3c,
+    0x62ad2722, 0xbab9a27f, 0x010b13de, 0xfeb27a5f, 0x0d77348e, 0xcb0a03d7, 0xba0b91d5, 0x94272394,
+    0x49f99665, 0x7045cfe9, 0xde5ddebd, 0x5a6b87b0, 0xe9e578a4, 0xff8a09bc, 0x1fad81a3, 0x902100bd,
+    0x3d16e695, 0x44d07975, 0x842a6d87, 0xce61b7f7, 0xc71e6e44, 0x51823373, 0xd22179e7, 0x0dce1803,
+    0xe7d0bacd, 0x4c3678da, 0x748c4fa6, 0x73d87e6b, 0x6fd6dd6a, 0x7c70b205, 0x93e0d352, 0x91b21307,
+    0xf64f39f7, 0xacf7bbdf, 0x3d078086, 0x82d90e81, 0x3426d10c, 0xae0a15fc, 0x59f2ffcc, 0x69037a84,
+    0x87d29e54, 0x3cc69451, 0x69983e57, 0xa507bbcb, 0xc9afa690, 0x004862f7, 0xc1c472dd, 0x5e32f496,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000001214168\
+                         05764108066932466369176469931665150427440758720078238275608681517825325531136 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f,
+    0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cf0, 0xb3a0cca0,
+    0x00000000,
+    0xfd1fb2cd, 0xfe06faf3, 0x6100c719, 0x40a4a80a, 0x2e5f2afa, 0xf07a1cb4, 0x28032fd1, 0x0bb26741,
+    0x626b3e18, 0xc0584cca, 0x441aed4f, 0x0174afe5, 0xc044c8fe, 0xb42f4d00, 0xb8fe7171, 0x0a57ebdd,
+    0x00704b2f, 0x5653b41c, 0x1f00657b, 0xb0d09819, 0x080027e2, 0x5d0022a3, 0xf1c42bf5, 0xdd046d24,
+    0x0a77aac6, 0x1276181e, 0xb47a8bc4, 0x0f1bc85d, 0xfea08272, 0x9fdb3f60, 0xdc34f4fc, 0x2b3d32a2,
+    0xb5c5d123, 0xb4c9dbcc, 0x4c5b6d52, 0xcefb8a6b, 0x50f796ec, 0x612f4232, 0x5cec33b2, 0xa5e3fb72,
+    0x3af88c16, 0x876ef16b, 0x30cc9200, 0xff21ac66, 0xb1ed0b56, 0x69d5777d, 0x56a72782, 0x3d3938f1,
+    0x3edde914, 0x7010e11e, 0x70890bfc, 0x1560d5ce, 0x6a353252, 0xbfbcd8f3, 0x7ed0d617, 0xe839587e,
+    0x4608786e, 0xf4e9a1bb, 0x94f7d07d, 0x761b0ed7, 0x53665ab7, 0x845ccd50, 0x09884a8c, 0x59a7cfb5,
+    0x2162a220, 0xf5929ab8, 0x5cd7b2c3, 0x1057f870, 0x906c2b84, 0x0101d17a, 0xd9786530, 0xbefe6e4f,
+    0x864f4cde, 0x2a55cf97, 0x51b2a94b, 0x9c9b85db, 0xf99d7b49, 0x7949ddb4, 0x8d542496, 0xdf44ba10,
+    0x428326ea, 0x304645f7, 0x9ab106ee, 0xbe95de30, 0x2ee74822, 0x3a0aa2c6, 0xae9ecd07, 0x8f7f6e89,
+    0x49861911, 0x99eca548, 0x3d14a43f, 0xffdeed80, 0x6c04e379, 0xe7515bc8, 0xe5645ea3, 0x0953f399,
+    0xc44592d4, 0x7eeee441, 0x69b25317, 0x92bb6397, 0x096f21f5, 0x4d95528e, 0x64b83872, 0x690323d0,
+    0x2d7a0b06, 0xc73cecd8, 0xe8a9f5f9, 0xc62d6c18, 0xded5eada, 0x2ad6380f, 0xadcd475d, 0x4ffef10b,
+    0x6e0dfcb9, 0x6bced258, 0x4f1c60e5, 0x99b9b249, 0x5bf8f23e, 0xfedb197c, 0xf211cfb0, 0xf1785da8,
+    0x57a2d530, 0xb9e4b37b, 0xd532e322, 0xdd9ca753, 0x20709f6f, 0xf8328d81, 0xf868377b, 0xca1591c5,
+    0x5332fefb, 0xf50ea158, 0xaa0f1885, 0xf1e2646c, 0x18ab3af7, 0x37128775, 0x16e6650c, 0x1c9a0531,
+    0xc876a52e, 0x1696b646, 0x35e757d7, 0x6c651c37, 0x5977a083, 0x75842201, 0x0cad4d80, 0x61538543,
+    0xf068b235, 0x070fa515, 0xd3222feb, 0xa6021848, 0x706fc1d1, 0xdc8a8759, 0x58cc20fa, 0xc6162d59,
+    0x3e9a5b66, 0xa0e6b441, 0x414ab407, 0xae593ba8, 0xe981f0b2, 0xdd394ceb, 0x040b74ef, 0xf6e17fc7,
+    0xb69f42a3, 0xa1bf13eb, 0x5d237133, 0xfbe2deb3, 0x2d57f632, 0x289d62e9, 0xbe579eb8, 0x47e4c40d,
+    0x854f012f, 0x2d2d69f2, 0x252cbbe7, 0xaac83f4c, 0x0e7d8a0f, 0x6224c0b4, 0xf3d424e0, 0x77affeb2,
+    0x3b3aa9de, 0xcb486b59, 0x41c7b6ea, 0x45112a99, 0xf00bbd05, 0x0701ee5c, 0xacfcfdb1, 0xb8c5c13b,
+    0xa9e32cdc, 0x5998cd81, 0xd33dbb1c, 0x0e838c8b, 0x9df46638, 0xd3aa1b5e, 0xce0d4a5e, 0xf04ed54c,
+    0xef6d465b, 0xe26024de, 0xfbb5c5da, 0xbe9314a6, 0xe70af3c7, 0x593d64ec, 0x26dcbd7d, 0x4d14d9a7,
+    0x1f6dee55, 0xd3d41432, 0xf1bf1c18, 0xb2ff02b4, 0x7abaa85f, 0x998b94ed, 0xd7a9086a, 0x1e62e0be,
+    0x1a9a9883, 0x8cb6f0a7, 0xe7e3a2b8, 0xbc3271fc, 0x9ac42b9b, 0xefaf55b3, 0xa05beeff, 0xa663ddcd,
+    0xc309a7a4, 0x5ae84fce, 0xa3969f00, 0x8f037f36, 0x7bd5e6c5, 0x1236dec8, 0xd94221e1, 0x48534008,
+    0x7b043c5d, 0x53fb8f79, 0x5c000b8b, 0x016a607c, 0x5cd3e144, 0x44bc71e9, 0x254bd07c, 0x59c925b9,
+    0x38786db4, 0x7d000fb8, 0xe0d3cb1a, 0x643e9117, 0x3126f0a7, 0xa099f263, 0x2e22ef6b, 0xa680d227,
+    0x9c273071, 0x97d238eb, 0x1d4bb30f, 0xe787c487, 0x43fddb59, 0xe6a0f7e4, 0x12d74495, 0x415b5fa2,
+    0x4d3e638d, 0x89b29c50, 0xcedd028d, 0x815abf6b, 0xa93cc94d, 0xd4946a07, 0xcd064ef0, 0x69c633dd,
+    0xe34eab40, 0xb2a52808, 0x8fce437e, 0x15c3b1c4, 0x7c7dd23f, 0x0fc0e05f, 0x36ead23f, 0x32abc8c9,
+    0x478db5a8, 0xf2010f5b, 0x103df4b6, 0x31963811, 0xf92e18fc, 0xb672da87, 0xb413d560, 0x918f49df,
+    0xcbec0038, 0x8821dc8c, 0xd797ee82, 0x5f88f660, 0x5ece897e, 0xcff81bc2, 0xd9860a99, 0xfe32f48c,
+    0x178563d0, 0x67ffc7df, 0x9bb74d72, 0x8adba0d6, 0xe4c48532, 0x4f936a6d, 0xbccdb72d, 0x8fab2d80,
+    0x8793092d, 0xb8a3e3fb, 0xd823a0dd, 0x2ed85ab3, 0x2e95a019, 0x2a0c6e82, 0xf7efdfee, 0xd4019101,
+    0x970e4ec7, 0xac159cdd, 0xa6e05d20, 0x257a1de1, 0x1b135ed6, 0xaa952e95, 0x9d4e7840, 0xcd82d99c,
+    0x6877404f, 0xaf8c4a9f, 0xbfc87b20, 0xab6850e0, 0xc33758d9, 0x5ffe5923, 0xc8b0f82f, 0xffe323e4,
+    0x14b1f2e1, 0xad6d639a, 0x9bcb2c5d, 0xbef6ceef, 0xfe3718d8, 0x29aa336d, 0xd1890af5, 0x49d67070,
+    0x211fea82, 0xedf12458, 0xca96c763, 0x47ad2621, 0xb9dfd3bf, 0x39dfb310, 0x6c78bb0b, 0xbd83bfb4,
+    0x012807d4, 0x351558ce, 0x91ee6352, 0x8f873dcf, 0xcf75d15b, 0xe7ba5d72, 0x87f545b4, 0x1b31c62d,
+    0x4ed8f258, 0x91e91039, 0x3a6cbb3e, 0x78fa0360, 0x0b5729ec, 0x0ed61f04, 0xfbc5264f, 0xc838c9c6,
+    0x3a82284a, 0xf3483a56, 0xc33fa709, 0x5c1772eb, 0x410e8de1, 0x960c1819, 0x4517f6ea, 0xb902abf4,
+    0x661dad80, 0xea2dc60f, 0x8f45506c, 0x30b68982, 0x023d5922, 0x7a4633f2, 0x7bee692b, 0xfa1f1094,
+    0xe2b08b62, 0xf0372697, 0xb1ab29ed, 0xcc67809c, 0x0b2a53e8, 0xd141390b, 0x5ff23f83, 0x36272c4f,
+    0x5bf6dea7, 0x9854f0d2, 0x370b84a2, 0xb4fb3bb9, 0x60ed6afe, 0xcf7f8d3d, 0xc2abd2c8, 0xa75cf43a,
+    0x95323c20, 0x8326254c, 0x77d52721, 0x951a390c, 0x51ec43be, 0xa2ade4bf, 0x5e7a1199, 0xfe1297e5,
+    0xbe43cb9a, 0x4e51f161, 0x8be3d8f7, 0xc410b64a, 0x1bb9e71f, 0x362ff8db, 0x63b9df7a, 0x5454f4a5,
+    0x1c74165a, 0x75a4ad5a, 0x4c0f243f, 0xaf094f36, 0xaa8e146d, 0xfd312de7, 0xc1cbd7dd, 0x2e81a296,
+    0x0d669420, 0xa64a1ede, 0xda0d63df, 0xdde85125, 0x9a3cd6cb, 0xafadedb2, 0xe2df6262, 0x2e75a44e,
+    0x6da8a598, 0x0fbe70ae, 0x7d8c02c2, 0x51a99a80, 0xf8974b9e, 0xfcd5d386, 0xf2a9de0a, 0xf159ef1a,
+    0x8ce4ff88, 0x59d428c1, 0x56154073, 0x0efa2569, 0xba6241f9, 0x669c987e, 0x5d222281, 0x02eccc09,
+    0xbb499591, 0x776909a2, 0xb8cf10c8, 0x3a279c64, 0xa12c63e7, 0x26fa6762, 0x759d82f5, 0x933830ff,
+    0x58a2ca5a, 0x58c9f412, 0x0f60d822, 0x4597863c, 0x911d619b, 0x4e4a7ad7, 0xde49a7f3, 0x27fdef3b,
+    0xcac9efed, 0x20868229, 0xb652007f, 0x2bc77c75, 0xd38d1f8d, 0xe7295cba, 0x1d84843a, 0x9c4458ca,
+    0x7c3d19a1, 0x3cc6bff1, 0x2bd13cc9, 0xf0fa0187, 0xa1f1e2e9, 0x7269a42c, 0xd2014dc6, 0x20ae5129,
+    0x21130638, 0x28622047, 0x0354a342, 0x87f79a0d, 0xa85fb77a, 0xfc4f1f6a, 0x01dd957b, 0x5379853e,
+    0x5dc9e2b9, 0x3f43c7e9, 0xc77b12ba, 0x63784dbe, 0x67f421e6, 0x62fbdfb3, 0x015bbb90, 0xb5494163,
+    0x38381f67, 0x6d8bd504, 0x0a173836, 0x534b81d8, 0x56f98142, 0x30c53b9e, 0xb82ee656, 0x62bddc2f,
+    0x0a55d063, 0xb931e78d, 0x2154f745, 0xac161fa4, 0x74e36693, 0xcc0c1a7a, 0xe1616736, 0x4e7257b4,
+    0x7d6399c1, 0x2b91b5c7, 0xa6e0e088, 0xa01f2a69, 0x93ddc7ab, 0xa1501cf4, 0xbf56382a, 0xc0b32afb,
+    0xdf54c163, 0xf5a05bf0, 0x3bf89cf7, 0x8ca6e629, 0x18c8e8ff, 0xe5e0da09, 0x0af4e88c, 0x5b3f043f,
+    0x6501c93e, 0x9b381dc2, 0xf02d5c0e, 0x96329ff5, 0xa7469fc5, 0xa0e3a47c, 0xafdba7b9, 0x26df6139,
+    0xb193bfb7, 0x3867beff, 0xa7b9cc0d, 0xf3a7983b, 0xb9dd0330, 0x48a3ac29, 0x1443b229, 0xa1034618,
+    0xb0440925, 0x60a9a2c4, 0x81b9958b, 0xd4ef2e8b, 0x765400ce, 0xde5c3986, 0x0907a4d2, 0x21912805,
+    0x33ffd47b, 0x058ec0c4, 0x1105a7ec, 0x981193af, 0xd8bca657, 0x34df818d, 0x3e00da1b, 0x90d287b7,
+    0x46d438cf, 0x10d08b32, 0x9f9fcae2, 0x92752441, 0xe9aaa305, 0x26eb7a6a, 0x09ff7882, 0x9348c286,
+    0x58d3d966, 0x4c17f0f4, 0x12649e52, 0x4eed1676, 0xe28bc748, 0x3ced4ea3, 0x2b1c0b9c, 0xb1e373fb,
+    0xad61d272, 0x2b9c8a21, 0xefbdf16a, 0x925e244a, 0x24e1ca9b, 0xf8637f5e, 0x42ccebe1, 0x9fcda803,
+    0x7c913123, 0xbcfb9f27, 0x4ae30ff4, 0xc7fd0a4a, 0x26651fae, 0xa502f307, 0x996ea44d, 0x98256dfb,
+    0x7f9d6ea1, 0x9b4b6cf6, 0x6c3015b0, 0x34caf489, 0xb1c9ff4f, 0xa5d1da5c, 0x5f49e1b7, 0xf6d8c7a3,
+    0x15bdc186, 0x53f0a01c, 0x0051c643, 0xb8c0ab21, 0x8e48cd9c, 0xb1a94b10, 0xdbb48597, 0x2d2c53a7,
+    0x092ec7c0, 0xa40af5d2, 0xd11b69fe, 0x2fb97a9e, 0xa63b0bee, 0x989a492f, 0x708be73b, 0x60ac62f0,
+    0xa1542cd1, 0x5ad0402c, 0x3915ce90, 0x8ceddc07, 0xc7a9924c, 0xa489c9ea, 0x6f2a6922, 0x0df5188a,
+    0xef5de124, 0x6ec90a85, 0x813e0601, 0xb9adb808, 0x4d09d03c, 0x9c98f474, 0x77cf6fbf, 0x2bb9c3cf,
+    0xd9aba827, 0x408051e9, 0x684c5bab, 0xea68c20b, 0x8728e593, 0xbbda462f, 0xdbd3c74e, 0xcca9b146,
+    0xffd65976, 0xe12e0a5d, 0x2b9aff1d, 0xb29415bd, 0xd28a0917, 0x2960de98, 0xcb3c9401, 0xd54557c7,
+    0x70485167, 0x17e3d1e1, 0xab2e301a, 0x86793e78, 0xbb2074c1, 0x12591b76, 0x3f8ada30, 0xddcba0cf,
+    0x22181511, 0x3cc93cc7, 0x9e09410f, 0xaf53aadd, 0x8374571d, 0x8132b80f, 0x8e6977cf, 0x0c535a23,
+    0xab22fee3, 0x09e6b8cc, 0xb0c1bdba, 0xb7a8e237, 0xea0eef35, 0x0eed9764, 0x50eb827c, 0x6f4e32fc,
+    0x7ad2b7e7, 0x41773c5a, 0x27548ecb, 0xbe746e78, 0xa22193d0, 0x5378c513, 0x054ec645, 0xb7b1b0a8,
+    0xd16a9aeb, 0x5734b733, 0xc0b31a2f, 0xb43ae609, 0x9206fc12, 0x83f97c87, 0x1dfb5c15, 0x3027965f,
+    0x1c0a6b3c, 0x5ab2b417, 0x055c3ed5, 0xef959533, 0xec2d4d9b, 0xcd6b5e32, 0x8c590311, 0x5a31f759,
+    0x5b44eb19, 0xd35af199, 0x69c710c5, 0xff7fbc6d, 0x1c736d22, 0x231d4a4a, 0x767fa880, 0xec2e1546,
+    0xb441e2e5, 0x12d3644c, 0xee5975ef, 0x34421c7e, 0x1fa1d35c, 0x9595bcf8, 0x1d012876, 0xae991e1a,
+    0xb67bb056, 0xfb9ef24f, 0xc65ff0fc, 0xc08ee600, 0x2044637d, 0x9a472db7, 0xae301704, 0x4c18e9d5,
+    0xc1c48a59, 0xaddff13c, 0xbab51e98, 0x3d9db96f, 0xc7768d57, 0x35af4729, 0xf7af03d6, 0x9a2a07ed,
+    0xa778e95c, 0x621b2abc, 0x1318f53a, 0x2898e391, 0x5e67df84, 0xad013110, 0x948d3e16, 0xb59b76bf,
+    0x11ac17e0, 0xe146addf, 0x17d23b8f, 0xa9a3414d, 0x3cb0c99a, 0xefd103ff, 0x5e59a5dd, 0x74af3724,
+    0x714b5899, 0x007970f1, 0x7b8289a9, 0xa16adf96, 0x52d47640, 0x5624d0a0, 0xd6ffe229, 0x6cd66725,
+    0xcc6486d3, 0xe9249899, 0xc221ca72, 0xdec27e81, 0x5dc1b83d, 0x8110825d, 0x74d17408, 0x3f37340b,
+    0x7f74b086, 0xc1bda490, 0x58b70a08, 0xfaa194b7, 0x69f6b8d4, 0x78798dae, 0x30e9b27a, 0x05f55f57,
+    0xa002c253, 0xa1b38bfc, 0x9065e2e2, 0xf025f5d0, 0xbb2106f7, 0xeadc1aa5, 0xb37c94f7, 0x02ba48d1,
+    0x6f078550, 0x3a184c0e, 0xc533c010, 0x3ef68218, 0x9070e53d, 0x8a49f03c, 0xc88cf7dd, 0x2671dab0,
+    0xd53659d1, 0x17f09b2d, 0xa878fb42, 0x851334ee, 0x72827421, 0x4f66abb8, 0xc8c383f6, 0x5e5968bc,
+    0xb6ea4dac, 0xe2ec5b10, 0xc96bbb85, 0xf134d32e, 0x52e039bb, 0xe155460e, 0x2e0f6e1c, 0xc8ab89a4,
+    0x2f09cd54, 0x03a37eb0, 0x86e67383, 0x0731888b, 0x1aa8c17c, 0xc1555538, 0x2bdfd0e8, 0x8de0a7dc,
+    0x71b0aa0e, 0xa37ba022, 0xb7362cf6, 0x234b5c2d, 0xa0bf2577, 0xa030c47e, 0x753d8e4a, 0xb7ab417f,
+    0x5f51afe9, 0x732cbbc2, 0x40fc3c7c, 0xb5e09a04, 0x5fcf5505, 0xf6bc8f81, 0x2a84dffb, 0xe77770e2,
+    0xfa3177fb, 0x31cfe63b, 0xa124d9c3, 0xaa553930, 0x7cb89578, 0xc68420be, 0x8ff7b0bb, 0x5a1d988f,
+    0x46ec3159, 0x5a313ae4, 0x68ccbb3a, 0x10529ed9, 0xbcfe86ff, 0x8904390a, 0x223a51c0, 0x30645909,
+    0x7ad75f62, 0x3a297a6c, 0xdd70a96c, 0x459f08f1, 0x2cb0cdba, 0xa19b2a36, 0xd6260f4d, 0xfc323bd3,
+    0x1a4354bb, 0x6adf6217, 0x2486e95c, 0x2a85d1bd, 0x8ba8c555, 0x6cc010d0, 0xc54d757d, 0x3f032ba5,
+    0x52bf21ac, 0xead3bffe, 0x26b8bde3, 0x76f9113b, 0xda290857, 0x8a44e275, 0xb4c43d39, 0x29367426,
+    0x466c691c, 0x80d4e71a, 0xcbcd3f0f, 0x6ddb9b3e, 0x41bcbfa2, 0x57b6a043, 0x61b53a4a, 0x1c144f15,
+    0x696c4784, 0x627730a2, 0xbfb1c9d4, 0xea7de9f6, 0x16766157, 0xaec9fcca, 0xc36843e9, 0x3c46881e,
+    0xa4f504a1, 0xa1dcce63, 0x0572fcd6, 0x3f4f8682, 0xc7d9c131, 0x322117d4, 0xc32dea01, 0xcf5c78c2,
+    0xb9b5cfd2, 0x0691a869, 0x48a50aa3, 0xbe2aa4f3, 0xa5f68723, 0xa84f1319, 0x1d320979, 0x70e50d50,
+    0x1648c328, 0xc392d64a, 0xbe9fd995, 0x8e0b508f, 0xfe9c3ea0, 0x6021621d, 0xbbc75b33, 0xdd1b8289,
+    0x6d0fc46f, 0x8a37c78d, 0x9c038023, 0x0f4e0c08, 0x236078d4, 0x353ad535, 0xd38656fe, 0x26d1c7c6,
+    0x275418d4, 0x7bb15d3e, 0x7712bc7b, 0xa952ebe8, 0xe3e929a0, 0x3922aecf, 0x12a131f7, 0x27d5aa52,
+    0xfaa17a98, 0xc066d193, 0x78c1178d, 0x0a977f30, 0x593c38fe, 0xea5919e8, 0x0cfaa985, 0x2614054f,
+    0x22062ee3, 0xb5d15b49, 0xc9c4fa26, 0x9823b500, 0x5f0339ff, 0x5eb16377, 0xc463434c, 0x097c3e25,
+    0x0a39e068, 0xe2b33402, 0xa9b613af, 0x726766b6, 0x262a50d4, 0xeb406c11, 0x525e26c6, 0x9b5a3ada,
+    0xf6d58e2f, 0x3a755f5a, 0x0463db85, 0xcea0eb93, 0xfc7fe6ca, 0xc1f9b989, 0x4b855363, 0x6f88988a,
+    0x8ff70191, 0x8e3f59f1, 0x4916e2f0, 0x95fdc31d, 0x00977520, 0x49ad441f, 0x3806e75c, 0x5d9acb01,
+    0x967323e5, 0x4d5a1114, 0xe1f63f7c, 0x592bd1d8, 0xbab13b96, 0x673f2da8, 0xa26bf629, 0xce176a79,
+    0xa93d5412, 0x301d033a, 0x2b72981e, 0xc866f4c8, 0xfb768432, 0x070db71f, 0x52b5516b, 0xcd252dec,
+    0x1020a73b, 0xc225fb4e, 0x8cf933ee, 0x7d22c8cb, 0xaef1c85e, 0xbeb76842, 0xd060defd, 0x6a6dcf13,
+    0x5381b4f1, 0xbdcc50da, 0xa05d918d, 0xfaf01a03, 0x07fc071c, 0xf5ecae35, 0xbad21b9d, 0x22a39836,
+    0xbefd8d02, 0x2c137e4d, 0x1e198d67, 0xf23610ef, 0xfafd2e6d, 0x95cec084, 0xd4ef71dd, 0xa353dd5a,
+    0xea3cb519, 0x97e30761, 0x4f2d4ac7, 0x118b6064, 0x5b2a699b, 0xefdc1000, 0x9640caea, 0x3b99ec3a,
+    0x563b933c, 0xbafcf633, 0x23e0827b, 0xc687ab3e, 0x6b507faf, 0x18acaf10, 0xcac912c3, 0x9f5cf325,
+    0x8bf0abc6, 0x1d29e47c, 0x79c3e35a, 0x3919a244, 0xd83bf0a4, 0xb1ea0877, 0xea6a8757, 0xeb3dc663,
+    0xebd94242, 0xf17bbe43, 0x3b10b599, 0xc3f9625d, 0xda57eb1c, 0x627160a3, 0x10dbeedb, 0x3afece34,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000607084\
+                         02882054033466233184588234965832575213720379360039119137804340758912662765568 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7,
+    0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e78, 0x59d0664f,
+    0x00000000,
+    0xfe8ecf30, 0x1eb876b8, 0x5a86051d, 0xa340596e, 0xa79d2025, 0x1bcfe3d9, 0x8f9d302d, 0x3e873e41,
+    0x7f39e12f, 0xe0d78cbb, 0xc7f885cf, 0x6389180c, 0x116f315a, 0xda32238c, 0x942c1d48, 0x736c7e35,
+    0x970d93ab, 0xc7258c69, 0xecef9a75, 0xf83295df, 0x4e064c4c, 0xbc739729, 0x25709e11, 0x79d721d0,
+    0x5577b8ab, 0xc044601c, 0xa08c47d5, 0x546d9bcb, 0x6864abe2, 0xdffd9513, 0xfe48caef, 0x9f9a1c25,
+    0xc5750c13, 0x20d16954, 0x2d5deac4, 0x0bbd70b9, 0x255c4573, 0x5529b0fd, 0x5ee0ed7f, 0x6a75a04b,
+    0x274cd38d, 0x00e3b8a7, 0x75e29158, 0x0a6f27bd, 0x9edef807, 0xb2d86ede, 0xe5378ea0, 0x49f94466,
+    0xb3600c09, 0xe1c5626b, 0x42d649cc, 0x0495e04f, 0x6b096d9e, 0x5196449a, 0x9b2bb065, 0xfbc18845,
+    0x4e539c22, 0xd0c5ab99, 0x7fc1e53a, 0x945bc0be, 0xdff220aa, 0x981f0b4d, 0x56e1bcb1, 0xecc32b79,
+    0xe9abaf58, 0x2228d430, 0x3afe201d, 0x383837c8, 0xf376274f, 0x842a1cbd, 0x2e1dc5d9, 0xb5c0268e,
+    0xafba3ca7, 0x670e8f03, 0xfdf5dc67, 0x78bbc1df, 0x441ed2bd, 0x3edf3e87, 0x2946aaf4, 0x81e4633c,
+    0x5c467191, 0x4f6f92e1, 0x3d0adf5b, 0x599e4f6e, 0xfb8b76e4, 0xc3df27d1, 0x0294e151, 0x0c05c236,
+    0xa8720f81, 0x5da0500c, 0x42801390, 0x72397c5f, 0x20e31370, 0xd14d7943, 0xfaf41b6f, 0x4313ce81,
+    0x1e415e05, 0xa3c91329, 0xeee6e0ac, 0x3b4d031b, 0x9866a8fd, 0xfb141154, 0xd9e3ae8f, 0x23b97b08,
+    0xb6a77d30, 0x11887f1b, 0x5c75b619, 0xde544bc9, 0xda2e5f57, 0x1444a38b, 0x3b258edb, 0xae94b449,
+    0x30d2f23e, 0x20d4022e, 0x473034ec, 0x183333c2, 0x3b527836, 0xd6da3441, 0xc15e62ef, 0xb9ce046d,
+    0x0310761a, 0xd5725ff9, 0x0d841011, 0xe22ca080, 0x411cddd4, 0xc2bfc8ce, 0xf29a19f7, 0x0e6f8f89,
+    0xcaf01550, 0xb8dac760, 0x66444e2a, 0x56fdaf1c, 0x3f9d65df, 0xc4310da5, 0x2262df6f, 0x2919191d,
+    0xf0e6ce45, 0x87f86bf7, 0x0940dd3b, 0x8c09fa4a, 0xdf7ea94e, 0x7a2923f0, 0xa63faf24, 0x9e3cb44a,
+    0x752a42f0, 0x9091a7a6, 0x3d5fba6c, 0x963d2d83, 0xb82132c9, 0xfec4093f, 0xe9b15811, 0xe2c4d092,
+    0xa7061f97, 0x9f5c43d9, 0xfad8cd20, 0xff914f23, 0xe0212c4d, 0xc387a8b1, 0x006040cf, 0x4c398fdc,
+    0x4b7a0be3, 0xbc26a175, 0x658afa4c, 0xf7a6d160, 0xdab51aa0, 0x05e4b16a, 0x6efe8285, 0x4a4002fe,
+    0x82c1a904, 0x44ab53b5, 0xfdc8e490, 0x8e7865d8, 0xd20c34e7, 0x2b07933b, 0x5ed25d5a, 0x40716e32,
+    0xdcb1f028, 0x84cfb0c0, 0x7774ccf8, 0xc5b25bf0, 0xab0c9bd4, 0xfd585481, 0x91c69edc, 0x6ac2ead8,
+    0x04fb5094, 0x9ca3bb26, 0x2c06ee6e, 0x137d9e83, 0xfb6195ff, 0x4a971524, 0x28c676f2, 0xa6d92075,
+    0x0476807b, 0x951d0038, 0x2f59eba9, 0x7c8217e4, 0xb7774905, 0x20846be2, 0xfdc6edc7, 0x10de7eb8,
+    0xaf44e873, 0x6b519ff5, 0x02b79f90, 0xb4c59b5b, 0x2e88832b, 0x11b69651, 0x20b69407, 0xa21881a4,
+    0x8d8d47c1, 0x6086b253, 0xaae8b76a, 0x4d6ab1ed, 0x0d20e966, 0xdede8a3a, 0x4441096b, 0xedc1547b,
+    0xdb7513c1, 0x94da2feb, 0xdb9b4357, 0x52f63b5c, 0xa9ec23be, 0x4ff8fe00, 0x638cc10f, 0x30d89e54,
+    0xb1ff131e, 0x10983f42, 0xccd4803e, 0xe7680c4a, 0x158bbaf3, 0xcdab6f28, 0x6b6d7719, 0x96ba8d69,
+    0xdfd17824, 0xf7bf2255, 0x2f7ef460, 0x548cadf0, 0x0d826201, 0xdf5384fe, 0xd1f57e1e, 0xc8340288,
+    0xc9cb1a5a, 0xee0c717a, 0x12568470, 0xdbfa4e42, 0xfbb3850e, 0x175607e4, 0x179218ea, 0x0b50c678,
+    0x9a4a0c4a, 0xe8c8a87f, 0x8a715df7, 0x0ac5db39, 0x75bd4c81, 0x12d11964, 0x75341a66, 0x8344c9fc,
+    0x99d93d7f, 0x6fd8c5d0, 0xf856776a, 0xcb90fbe5, 0x26f165bf, 0x73307cef, 0xd38bd7d8, 0xc4e8347f,
+    0x1b8772c3, 0xd9edf2e2, 0x7ad614d0, 0x879b5819, 0x0832b35d, 0x66db573a, 0xb1840913, 0xba460717,
+    0xae5690cb, 0xa23739b4, 0xf82bab67, 0xaaec4caf, 0x1e3119a3, 0x634840ca, 0x6c2f2779, 0x5b18e9da,
+    0x1beec779, 0x0b6f09ca, 0x7ff4511c, 0x6feffb29, 0x97f2fac3, 0x748dc871, 0xf22e1553, 0xaa4f22c9,
+    0x581a5a13, 0xfff385d3, 0xca5c6eb2, 0x6244b24a, 0x40faec54, 0x2322b144, 0xd59906c6, 0xefa604cd,
+    0xfd029813, 0x59838909, 0x1a4843b2, 0xf4435969, 0xd63317d8, 0xcd43e286, 0x715d3683, 0x7ac813a5,
+    0x8fda3f8d, 0xffa2938a, 0x0dd4c165, 0xc8dd7ce9, 0xa2fe8c3d, 0xeb1871cf, 0x992c6150, 0x635af9af,
+    0x699db784, 0x8b11a690, 0x1ccd4a29, 0xd3c62456, 0x7587ed10, 0x4b2dec7c, 0x738312c2, 0xc0b9366d,
+    0x94da2819, 0x75c3fb15, 0xb08ececc, 0x218d7f11, 0xb0e96621, 0x19ee5e01, 0x9ab4d7a7, 0x18bb5cfe,
+    0x64bc8446, 0x85e58833, 0x179377d9, 0x74a51906, 0xe9bdb1fd, 0x7ba09edd, 0x2ee73d2c, 0x888cb3a3,
+    0x68e7b6ae, 0xa5c15ad1, 0xce29779b, 0xfe8f77ec, 0x267772cf, 0x9a6c22e9, 0x52f76115, 0x6db62cfa,
+    0x887ad10c, 0xf5c065cf, 0x9afc491d, 0xa391422a, 0x6379b56b, 0x8fa59eaf, 0x68c93518, 0xcef85573,
+    0xef3c36bb, 0x34be77d6, 0x0ab7700e, 0xc152456a, 0x338f15c8, 0xdb47e68d, 0x33666a5a, 0x99566716,
+    0x6890106b, 0x9bc114cf, 0x612cb502, 0xadcf92ce, 0xb1443704, 0x418e4260, 0x937b4e42, 0x84225a7f,
+    0x348e13e1, 0xc5579056, 0xe53dba49, 0x7ea54014, 0xec6e513d, 0xf1230464, 0xd6c7d12b, 0x26358b81,
+    0xcb8e162c, 0x311f51af, 0x40bd9e9d, 0xdc8ccf60, 0xabcf9e0f, 0xc5c66b87, 0x88ccb9fb, 0xd622b662,
+    0x26312567, 0x110fc560, 0x0f5d3a74, 0xd7bb5a76, 0xa1ff7ff6, 0x4a1a1c65, 0xf3813dd6, 0x2b09144b,
+    0x78b43420, 0xe4fb7609, 0xbff716a6, 0x26b4d672, 0x81f3cfe3, 0x701f178a, 0x7b819ade, 0x0e3c6eb3,
+    0xa83a6335, 0xab057846, 0xbf4428af, 0xae8858c4, 0x0292bcf3, 0x303992b7, 0xc72f9797, 0xdcaca358,
+    0xea3a4d85, 0xe5dffc06, 0xf8fe1616, 0x543ddbe1, 0xdac68e50, 0xbcd1f49e, 0x567dfcd8, 0x5cf71101,
+    0xb352954e, 0x10c1b9da, 0x99d513a3, 0x0100ee08, 0xeab19077, 0xeeb6f0f1, 0x70e191f1, 0x8cd8e078,
+    0xeb27fae5, 0x0cd79a8c, 0x14d3e82b, 0x805d34ea, 0xc1b4cb9c, 0x9c6d927c, 0x94fca70b, 0xd08008f8,
+    0x049a1a48, 0x46699881, 0x3673fe30, 0x75dd2bd4, 0x7348a29a, 0x7e25ee53, 0xb5e55462, 0x13bf35bc,
+    0x543d4f6e, 0x6796b230, 0xf3a7dce4, 0xf1a7d5fb, 0xed665c23, 0x958ecd73, 0x270a5cbd, 0x84d8bc27,
+    0xdcc3a455, 0x6580d76a, 0x068b27b1, 0xff5a32e6, 0x538453c4, 0x838f8807, 0xd29d9d6a, 0xe448af78,
+    0x6128c9bc, 0xba45ceda, 0x0c65752c, 0x1cbc9aeb, 0x2a48b8c5, 0xa791f4f2, 0x4f10d1d5, 0x795d828d,
+    0x395dd365, 0x91d5bca7, 0xda7da8f4, 0x9cbb90cd, 0xa970a99c, 0xbcfa394c, 0xae6e9d03, 0x36e84903,
+    0x8b3d7d75, 0x7c5dc962, 0x54894476, 0xb754cdba, 0xac47d4d8, 0x52966afc, 0x9b08e55f, 0xab4db6e3,
+    0xead7d2f6, 0xae6d7774, 0xe043890a, 0x1b5c2bc2, 0xe046a60e, 0x893fb311, 0x322fd2d9, 0x47227392,
+    0xf55f9e21, 0x98a5700b, 0x57ac8422, 0x30b49756, 0xa736448f, 0x7d827d75, 0xe6e608a0, 0x1b3a0ce8,
+    0x802b651a, 0x2cf28de2, 0x5b6cabd9, 0x6cdd3d6e, 0xf500e435, 0xf54eb525, 0x3d93165c, 0xb8ca81bd,
+    0x694eeeb0, 0x8a61236b, 0xef72ded7, 0x6da03cb4, 0xeb7b7989, 0xbf00af09, 0x548dc821, 0x6115d066,
+    0x0a01434f, 0xaaef1704, 0xed710332, 0xcb9ef688, 0xf97db5b3, 0xcf6dd112, 0x14163d4e, 0x4d9939c7,
+    0xf414eac8, 0x7a851001, 0x4e4d5a42, 0xc10cd918, 0xa34928d2, 0x2c6a38bc, 0xd38a53ed, 0x7414dc21,
+    0xe9447147, 0xd0795fe0, 0x702243e7, 0x24e4e0f4, 0xc3c027a8, 0x91fa00c0, 0xff505e3f, 0xb1f6180f,
+    0x20a11270, 0x8529d02f, 0xce5e70f1, 0x0f734ff9, 0x6012179e, 0x957c70a2, 0x7edf0ffe, 0xc56c7a0a,
+    0xf1a0b4e3, 0xb8a9bd06, 0xd531c1f0, 0x496b715f, 0xd002fa53, 0xea7b6b0e, 0x09da3e29, 0x11a74c40,
+    0x46f2e23d, 0x6d6ad045, 0x98f7134a, 0x5ed0b46b, 0x4ec961ae, 0x39216f00, 0xcd0ed15c, 0x69d5fbb5,
+    0x37543d20, 0x85c929d9, 0x044b6aeb, 0x31b2539f, 0xed9a9b68, 0xe4b76e47, 0x4b1e3598, 0xeec42151,
+    0xc3119d0e, 0xf1a2647e, 0xde79365f, 0xfb416da0, 0x28b86569, 0xc1cc8e19, 0x44eb5ced, 0x45de552f,
+    0x25b0effe, 0x0d2b9326, 0xa908e32a, 0xd5f8e7ff, 0x258dd23d, 0x40e384a0, 0xed5ab83a, 0xfcb31bc5,
+    0x2e7454f3, 0x66454363, 0xb161eea6, 0x11cb174f, 0xbd4c51e6, 0x55547cf2, 0xa861aa95, 0xad183693,
+    0x298915dc, 0xac64441e, 0x8912b942, 0xed19c40d, 0x28b3f300, 0x0b9abc70, 0xa02bd34f, 0xf1cd2059,
+    0xa9d82876, 0x84024ce7, 0xd9788a61, 0x557e8a1d, 0xc5b4e60f, 0x6c0eb7da, 0xfb484946, 0x94a9784f,
+    0x693b40db, 0x862ba174, 0xdeb13fa1, 0x38fc09b1, 0xbe67174a, 0x15bcd768, 0x9e67b8c2, 0x6468533a,
+    0x48477ce7, 0xc76c1726, 0x5db9f3e1, 0xb047cda7, 0x77cfe00e, 0xcd714b1e, 0x3129ff9f, 0xbbc59629,
+    0xde3fff66, 0xe23cc0c6, 0x415d8d4c, 0xb8f59eb9, 0x753617a4, 0xb0a7bf2a, 0xd39648c8, 0x1e624f95,
+    0x1fc47a75, 0x81dd525e, 0x9fc572c4, 0xad037def, 0xf975a6c6, 0xd189ab07, 0x60883068, 0x962715e8,
+    0xf852c8f7, 0x70a0a432, 0x9d3334ee, 0x1a1e9787, 0xdb49a92b, 0x65fa54de, 0x6fe204f7, 0x624efa0a,
+    0xb6ee14af, 0x9af2c0bd, 0xc7fb37d8, 0x6391b3a7, 0x114b7d13, 0x1957f33f, 0x006fe956, 0xd320dbcc,
+    0xc56cee21, 0x53b0a328, 0xb0675bc4, 0x9d8fbb3b, 0x33861772, 0xeb1bedf4, 0x82035246, 0x980d0192,
+    0x611319ca, 0x6a904885, 0xd7945c15, 0xb97ca799, 0xdcdebfa5, 0x45234285, 0x7a08ad27, 0x7ffa03e5,
+    0x65084efc, 0xf7623b35, 0xce478251, 0x036457ce, 0x20f06fad, 0xaa16112c, 0x9928c34b, 0x588e0d87,
+    0x8422d12f, 0x46c6a762, 0xb791722d, 0x1fce3295, 0x1b9cd67e, 0xb6aa44bb, 0x8abd9ae8, 0xaaadca90,
+    0x23f76c11, 0x86c0bc51, 0x10a21c5e, 0x9598411c, 0x03f50e6e, 0x0d1715cb, 0x0d96946a, 0x56799ffa,
+    0x46087cc3, 0x2b7d7885, 0x210e8ea4, 0xec8e7134, 0x8f815099, 0x35ed4c48, 0x7691ea2c, 0xf2491f9c,
+    0x3b2ac4d8, 0x462672fa, 0x60954d38, 0x722d6206, 0xda204718, 0x3f85dce1, 0xdd54cd94, 0xd97fd857,
+    0x0d353359, 0x45e31082, 0xf97b1089, 0xfe5412d2, 0x1c14a183, 0xd14a2efb, 0x96fd6cf4, 0x7951dab6,
+    0x580c981b, 0xad61198e, 0xa466d45f, 0x160f4c80, 0x3c5948ab, 0xb0a670bd, 0xc3ca1db4, 0xfb68287e,
+    0xd213cf45, 0x3e1004ce, 0xf4f3e9fc, 0x20af9446, 0x55512002, 0xdf592e3b, 0x0770d668, 0x14cfcee3,
+    0xb8e85c1e, 0xdf113529, 0x5d30f244, 0x1400fc07, 0xc86e1cbf, 0x9b1e9c8f, 0x64f4b9de, 0xd86e08d5,
+    0x7ae3c8df, 0x60bbd692, 0xcd503756, 0x1aae8a6c, 0xe91be9ab, 0x30e09d3a, 0x260baffc, 0xf742bf81,
+    0x24671530, 0x3ffee1ac, 0x32875ca1, 0x4e66fd07, 0xb11a6b99, 0x645adec1, 0xbfba6e68, 0x0394e89d,
+    0xa32fc307, 0x7c586b4c, 0xf336eff3, 0x58b781e1, 0x3c126328, 0xee04b47f, 0xa8ca429a, 0xd589787b,
+    0x4c789e8f, 0x53e0cd66, 0x5a55995d, 0xb0a84ff6, 0x3dc0a967, 0x23bad730, 0x4c61acff, 0xac015c36,
+    0xe507c2b0, 0x61d2b3cf, 0xde7b800c, 0x742dc408, 0x03281f2b, 0x616ea558, 0x857d064b, 0x13756c37,
+    0xd4ec92e3, 0xad21bcb2, 0xdc92fbdd, 0xf460d2bc, 0xfc400eaf, 0x1313c5ce, 0xd33ebb74, 0x78636a4f,
+    0xe39d2fe9, 0x337ca81d, 0x47781c1d, 0x4f1d4f9d, 0x2ae8a4a9, 0x546ff283, 0x888813c5, 0xf6b701f0,
+    0x60f9cb15, 0x0a7260f7, 0xd444b570, 0x275d47b1, 0x25d06e92, 0xc93c602b, 0x49560dde, 0x2442956f,
+    0x89565d1d, 0x516494a0, 0xba302ac0, 0x00139ffb, 0x9b1f7924, 0xe32e3133, 0xe6abd0aa, 0x8077fddd,
+    0xd392d79f, 0x8060ff2b, 0x640294ca, 0xd5a822d4, 0x3b114b80, 0x78994f85, 0xfd48e6d9, 0x18ab41c2,
+    0xed3a8d1c, 0x41d00037, 0xbd44f2b4, 0xecc3e651, 0x05597f09, 0x430e43b0, 0x0d833e4e, 0xd7892aee,
+    0x77a1ecc0, 0xe4cd5cec, 0x56ccac98, 0xf519e0fe, 0x9b1fa174, 0xe4e60cd7, 0xe4384457, 0xace428c9,
+    0x82b0850b, 0x73799beb, 0xe6d1139b, 0x891c23b8, 0x42c565b2, 0x26bd4bb5, 0xfde3da24, 0x1e733928,
+    0xc3aba5fa, 0x2247136d, 0x132bbf2d, 0x22f6cd4c, 0x0c19821b, 0x6599adb6, 0x283a953e, 0x0be919a8,
+    0x6d37b739, 0xdc839e65, 0x7d542bd5, 0xf00e5f71, 0x3a05ab1a, 0xb417b9c2, 0x3136c0c3, 0xab27b711,
+    0x56d2c460, 0xf7cc048c, 0xcedef24d, 0x406a0e5d, 0xb5b94ade, 0xf0d92ec9, 0xda89aabc, 0x83787633,
+    0xf7c43ae8, 0x356fb96d, 0x11af4f64, 0xc1f4b18d, 0xa6b5d438, 0xc982f0dc, 0x8f618f2d, 0x32810a1d,
+    0x5e4a5c01, 0x6bcedf87, 0xec3c2b70, 0x6a66e9bf, 0x76772478, 0xce846fb7, 0x289d551f, 0xfd6eb9d6,
+    0x4c4f62f1, 0xf04ae707, 0x0e52ff29, 0x1e62f859, 0x3002ee48, 0x68337137, 0x59aa7ffc, 0x92af8341,
+    0xa43f082d, 0x226fd763, 0x948ca4e1, 0xc3c273ce, 0xcfd511fa, 0x0f36622e, 0x1bbbdad1, 0x80af718f,
+    0x3c4bece8, 0x7de7bc09, 0x356f73ea, 0x9678a1a6, 0x1fa028f3, 0xd1f2dbb0, 0xc71ca0ca, 0xef469afb,
+    0xfcf2410c, 0xc8dbade1, 0x504f64c4, 0x9401bd32, 0xc2c05f6b, 0xa0c1bfb1, 0x0ad2de5b, 0x133f4c81,
+    0x2b36e1e5, 0x8ea3d23d, 0xa05ebe0a, 0x084d9395, 0x7002fa8d, 0xa5f8dc3d, 0xcf4b90cd, 0x0cae867c,
+    0x9d7d7ac9, 0x8abe4c8f, 0x2cf24555, 0xf94e2f94, 0xc6e006be, 0x850665f7, 0xf1189233, 0xded0d6bf,
+    0x34e4f6f8, 0x0ea970d2, 0x3588efad, 0xefcdf6ed, 0x86325bfb, 0x5137945c, 0x11fd310b, 0x9ed2506c,
+    0x35c4ff06, 0x068ade89, 0x6ff80240, 0x2e8b9239, 0xa8e193af, 0x30519e07, 0x71a606e8, 0xe7eb6ed1,
+    0xfcf82bfe, 0x23071713, 0x170ff6b1, 0xe4ffa84e, 0xf298dbf2, 0xa37918c0, 0xd97f6a18, 0x60e9c531,
+    0x71b871fd, 0x45dc462e, 0x617259ba, 0x95551a02, 0xc64c7c72, 0x6ccbbcd0, 0xec63bb84, 0x01336974,
+    0x9ee246b9, 0x7d8c1fe7, 0x2b28130a, 0x3043c85f, 0x838d69ed, 0xfaa64065, 0x18367d10, 0xb663110a,
+    0xfbc8bb10, 0x12fd7346, 0x31e1dfd7, 0x217a2cbd, 0xbe31f5d9, 0x13ccf6fd, 0x0933709a, 0x92c5df4c,
+    0x0a3b2485, 0x66c0df3f, 0xc4c011b9, 0x43daeca8, 0x2d8f00b6, 0x7413f6fb, 0x400862f9, 0x2e4a9a12,
+    0x81e188e8, 0xc59d11c7, 0x0aceb1ab, 0xf46adda1, 0x91b5557b, 0x8480fb9f, 0x848e2eaa, 0x49d2dc4c,
+    0x43f58c76, 0xfd892706, 0xa17cfe1a, 0xab6c0972, 0xddc9d8c5, 0x8307f330, 0x572d5d5f, 0x6ec9ba19,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000303542\
+                         01441027016733116592294117482916287606860189680019559568902170379456331382784 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3,
+    0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173c, 0x2ce83327,
+    0x00000000,
+    0xb4823caf, 0x328480db, 0xcbbc586c, 0xee2c2c22, 0x0b5a9836, 0x92511d15, 0x3d0ce65f, 0xf0fa94db,
+    0x7f08eac0, 0x3b2e9f39, 0x6ab8c71a, 0x600d55ba, 0xb98dde28, 0xb4e06541, 0x1cfe78da, 0x8f087de0,
+    0xfd8af735, 0x03ed0d3d, 0x603621f5, 0x84b97731, 0x7fd9db7f, 0x4476e79a, 0xf38cfe33, 0xf36489df,
+    0xeeb00e70, 0xab961ec4, 0x409e6f41, 0x2fc0403b, 0x2d2d0d0f, 0x2bd5b9f0, 0xd7c57367, 0x7dbf4e31,
+    0x1c24f27e, 0x83180719, 0x2c3be6f7, 0x4da06bda, 0x675e994b, 0xc57a64e7, 0xa2b2895b, 0x73775040,
+    0x38162aa2, 0xdebf8442, 0x195ada79, 0x81d74dee, 0x81b8116d, 0x7d4c25e3, 0xf9b0b525, 0xffccad18,
+    0x89b35419, 0x31319156, 0xaad3fcc8, 0x78e91523, 0x79826c6e, 0xb96c7bdb, 0x5a7c39f3, 0x77af5e77,
+    0x5e7b32fd, 0x9dea8d4d, 0xec29e1b8, 0x233def55, 0x770d41e7, 0xaa0b5ac1, 0xb9cbccd1, 0x69c4e320,
+    0xd9ce34b3, 0xd5f2138d, 0x68e680fd, 0xce54cebe, 0x71f2faae, 0x8e9acb4f, 0x18632c21, 0xa30c3fbe,
+    0x1ac756d1, 0x64534a1e, 0xd683a6bb, 0x1ade25f2, 0x63190a42, 0x67c024df, 0x01e50d00, 0x0939fe3e,
+    0x3a2c5e1c, 0x078509ea, 0x39de7d23, 0x67ce36af, 0xed66e078, 0xbbe198a3, 0x222f082e, 0x848aa56f,
+    0x8def0277, 0xc3820bcb, 0x04517264, 0x15e313fd, 0xf08b7cbe, 0x5488176a, 0x729ddd82, 0xb75fedd5,
+    0x6851f795, 0x069dc75e, 0xb354ed77, 0x43d41050, 0x7fc67f76, 0x310ee52f, 0x5690a919, 0x5bcf35ae,
+    0xdc5c293d, 0xcb4f47b8, 0x7ab4a831, 0x74db3a9e, 0x22fb6c44, 0x99086682, 0x9618caaa, 0x3db06c6a,
+    0xc286d873, 0xa61ee59b, 0xe8b62145, 0x0493d8f8, 0xa322a9fd, 0xe3bfaa4e, 0xf0577200, 0xbc8b6e3b,
+    0x9d69a328, 0x0d8a9b48, 0x3fe5e884, 0x48fbf269, 0x3c1bd813, 0x8fa93b75, 0x0ed0b47d, 0x3d6e283f,
+    0x56983ce7, 0xb360f60b, 0x3894eb29, 0xaa033c8a, 0x4c593c5f, 0x248b5a71, 0x2b3fc710, 0xf3282bd1,
+    0x855b933b, 0xf314f3f2, 0x127f2935, 0x30258844, 0x09ab6e49, 0x58fbaa6d, 0xe0976cc7, 0x24c8be86,
+    0x66652d3e, 0x6e41d7dd, 0x71d45f3b, 0x9cf3bfc8, 0xd4a68202, 0x8273817a, 0xef240e22, 0x1a68ff55,
+    0x04d2d94f, 0x91f0709b, 0xf8ad2823, 0x127ae166, 0x744a5211, 0xee812fab, 0x7a0d2f2e, 0xbac9dc28,
+    0xf043431b, 0xb81a8cbc, 0x9ee93d47, 0xb68d8a5a, 0xa670841a, 0xd6765798, 0x7848886d, 0xfa7eee64,
+    0x429a0c47, 0x249d90ed, 0x501e88d4, 0x7c794e57, 0x80904222, 0xeb2853ab, 0x567a4075, 0xfa184162,
+    0x77ca5c9e, 0x0284914f, 0x6ff8d96f, 0x78f5b0cb, 0x5a046fe6, 0x06127f1a, 0x4204425c, 0xa9b7f60b,
+    0x5ab2bb8b, 0x686b7a90, 0xdfa3b37e, 0x8199c603, 0x9e000618, 0xf6ea5f9c, 0x4e6cb597, 0x14b6631d,
+    0xb89ae2d2, 0xc97f25f6, 0x15ebcf2d, 0x6fc1fe2d, 0x8d4b5f59, 0xeca1e68d, 0x15515207, 0x8a113f44,
+    0xd0579885, 0x50f67dfa, 0x93a78a9a, 0x5016fc1f, 0x3dfb9c36, 0x12148bdc, 0xe78a1cf7, 0x5c2c47c0,
+    0x21a0ded7, 0xd8cfd49f, 0x387698f0, 0xf9916dd2, 0xdb325725, 0x11e0e98f, 0xc6b9eae8, 0xd67c8592,
+    0x8be50df7, 0x2b80309b, 0xb03dcb83, 0x089d4864, 0x11f0a2df, 0xa0abe6ef, 0xff5ae3b7, 0xdb8dc2f9,
+    0x03862a4e, 0xd47270cd, 0x6cabd5ac, 0x5ce13aaa, 0x12ec54c2, 0x33c822c5, 0xb4f76d1e, 0x221f817e,
+    0xe50db9d9, 0x84a31e8e, 0x44df1af9, 0x2b8ce5da, 0x27efe775, 0x05219e1d, 0xbd9e4ca2, 0xb0801be2,
+    0x85d9265d, 0x0adfd827, 0x5572555e, 0xcb3fbbf6, 0x37474ccc, 0x026521b0, 0x7d73b5b9, 0x1c5b15c5,
+    0xe6e73011, 0x81989176, 0xea7b881c, 0xab1fe1af, 0xe097247f, 0x5b575563, 0xabc06b0f, 0x46138e17,
+    0xdde9a5c3, 0x61f2d189, 0x07ec7406, 0xc6977976, 0x77a7e2c9, 0x3a8f4a61, 0xc2b3d9c3, 0x1975c8bf,
+    0x0b8cfc8e, 0x98f3e4c6, 0x31e9b17e, 0xc43afac1, 0xe84d11e4, 0xd36c3bce, 0x14827a75, 0x0a53c23e,
+    0xdd9e2ef0, 0xd22f7c85, 0xcb0f80e2, 0x84494a72, 0x085bca22, 0x1a7ce362, 0x0c38d1e4, 0xd3be00a3,
+    0xb2fd9365, 0xf7a05793, 0x7a58e327, 0xef88dda9, 0x7d4825ca, 0x94e5b87f, 0x98292876, 0xb69ae8ef,
+    0xc74344ba, 0x874287cf, 0x436f5c7e, 0xd587fe00, 0xce439c55, 0xf38df667, 0xd59b544c, 0x7e491d43,
+    0x928577c0, 0xfe378ce4, 0xa21901d3, 0x78729169, 0xb8474e8e, 0x26d12c5e, 0x5bc2b334, 0xa8d7b3e8,
+    0x42ddc9b5, 0x7ca8f8c7, 0x570ee2eb, 0x07c276f3, 0x1493491d, 0x88d12457, 0x0a5bab46, 0x6385ebbb,
+    0x65654725, 0x471fe6f5, 0xb13887ec, 0xeb33ffbd, 0x7634f3cb, 0xb82fa2a3, 0xa4e45be2, 0x9c64b46d,
+    0x72aa878f, 0xe3307b1c, 0x2fdd7a56, 0x664208a8, 0x1863f1ce, 0xee49fd36, 0x080a6b98, 0x67e2045b,
+    0x0984543e, 0x523f6353, 0x1d00a7d9, 0x35bcd395, 0x7380825c, 0xd32c537e, 0xd357f31a, 0x951fd4d6,
+    0x6a1b32e2, 0x05e90cf2, 0x1eccfba9, 0xb715a39d, 0x67278ebf, 0x3f818ac1, 0x417c034c, 0xe62ea14e,
+    0x5ef2793d, 0x0e377e4e, 0x1af9bdab, 0xd082a5bc, 0xebe79336, 0xae2a4c9f, 0x3d227ae9, 0x953a859d,
+    0x96c96faa, 0xf67b1edd, 0xe75c4ae6, 0x59146a2e, 0x22b83984, 0xb51fed34, 0xf36761c1, 0x8e71d927,
+    0x04c774e3, 0x05e4a89d, 0x65173291, 0x277b695b, 0x98bb7a72, 0x11338607, 0x6465d9fc, 0x4325f0fa,
+    0x103c4d3b, 0x478e9af3, 0x3d37aa3b, 0x4f1de10a, 0xf180d1d2, 0xe67d35b2, 0x70c03007, 0xce96a46c,
+    0xc67b0621, 0x2504845e, 0x491f9080, 0x85eb6aa8, 0x58ac3941, 0x4e41ded2, 0x40f8ad01, 0x1c7ea6bf,
+    0xcab79b04, 0x0bea357e, 0x4a808ae7, 0xa497a705, 0x42d91578, 0xf893439e, 0x41821ea6, 0x463fcf27,
+    0x6d112d73, 0x2ec9d8b6, 0x31f4eb5d, 0x78c14b05, 0x0167f7ca, 0x77ea7abf, 0x0c027dee, 0xc4274ad7,
+    0x553cb1e5, 0x52af59e8, 0xffbf2591, 0x9339684e, 0x016d1a7c, 0x4b265989, 0x71a42e4d, 0xbbd617c1,
+    0x9aeaa8c2, 0xce6272c1, 0x0473e5a4, 0x53ca69e9, 0x2f73215c, 0xbc918158, 0xcd6098e3, 0xf95a2fe8,
+    0xcce4902d, 0xef2dca9c, 0xb173fab8, 0x66420b8c, 0x73cb4f14, 0x749f12ad, 0x2a0593c1, 0x311a8c56,
+    0xdcf4ccfb, 0xea69c2b8, 0x76e343fe, 0xe7c863b9, 0xcce9deb7, 0xdd1c782a, 0xc73f2cc5, 0xcae36dca,
+    0x911c5ecf, 0x8e63df8b, 0x4072b8a0, 0xbb1a5ff7, 0x5a295912, 0xcf355e16, 0x1b3a4c96, 0xbfb7c9d0,
+    0x3a07873e, 0xdda5b6ff, 0x74ec38dc, 0x0cd0c3e9, 0x1bf0d3aa, 0x2538c77d, 0x4e781449, 0x966a9961,
+    0x4d77e304, 0xd9a8e911, 0x956aef4c, 0xb77e18e5, 0x9cdef221, 0x1e2bb4dc, 0x4a6c6e90, 0x1bf9228a,
+    0x485598bb, 0x8af8c72d, 0x44daa6c2, 0xb088c579, 0x1d2fb117, 0x9e4dab54, 0x87cbc60d, 0x62cc6737,
+    0xa1735606, 0xa7639c97, 0x20b551fd, 0xf521fda7, 0x02579ada, 0x6b864e61, 0x18986008, 0xa85118f6,
+    0x838bd9d0, 0x7bcd1523, 0xa610aef4, 0x3d6b62fb, 0x7796b902, 0x77df116f, 0xc20ecc11, 0x174e55e9,
+    0x4ef3341c, 0xc3442916, 0x60d04065, 0x6a1cace1, 0x4bdccee7, 0x6dd961c8, 0x9b9163b4, 0xad4b1741,
+    0xfc221ec4, 0x77af1295, 0x171d46b1, 0xda9fe7e4, 0xd467458e, 0xe94fcf2b, 0xf8a6b191, 0xc802ca09,
+    0x919c7c7a, 0x157cc6a9, 0x64c3aecb, 0x01ccfab8, 0xaeaedada, 0x8c6c2448, 0x0a3717b4, 0x3db499f7,
+    0x469ec176, 0xdc13d2ab, 0x3e5d8ed9, 0xb0a0dde3, 0x9049d5f9, 0x9194db56, 0xcfd104c4, 0xd5f35271,
+    0x904e0161, 0x0e07e6be, 0x0e61884f, 0x93dea37f, 0xf8656bdc, 0xdfcd9364, 0x55d2abe6, 0x7af52806,
+    0x12ab9be5, 0x1895e29f, 0xddd0f14e, 0xbff6f83a, 0xfacc99f3, 0x8a6818b1, 0xf4339fa4, 0x36940eae,
+    0xc602bb82, 0x4ffe2215, 0x7fbf1880, 0xe31eba88, 0x3dc0980b, 0x6fbe1983, 0xd1d8f1c7, 0x934ef785,
+    0x70f24747, 0x1e0f94a6, 0x86975fea, 0x5924877a, 0xadfa53c5, 0xd518a357, 0xaf3421e6, 0x238a26bc,
+    0x11ee1b05, 0x5e8d355e, 0xde016a47, 0xfbfbcda0, 0xce51c17d, 0x17046311, 0x0392a600, 0x32bda1f4,
+    0xf4a79d0d, 0xa7245af0, 0x83528a6d, 0x6608dbfd, 0xf0e04079, 0x07598776, 0x811cec6c, 0xd515be65,
+    0xbbca3308, 0x13d393e1, 0x70523303, 0xa6fdb187, 0x50333f50, 0x63dd392a, 0xf2e2b523, 0x1e614144,
+    0x872afbb5, 0x2fc9a77c, 0xddafa57a, 0x6193785b, 0x7f0fe126, 0x704c6b04, 0xab79cd36, 0xff824c05,
+    0x0743c48e, 0x8f84445c, 0xbe06e979, 0xa7c2047d, 0x86a31ab6, 0xf8261c97, 0xf91cb910, 0xf563c149,
+    0x8c9a301d, 0x04585596, 0x917e86b8, 0x9b342425, 0x0c0bc773, 0xec79450a, 0x2269d724, 0x0d2e3ff2,
+    0x50927f14, 0x47fbfb02, 0x9daa4e4f, 0xd839799b, 0xddaa37d6, 0x025a7715, 0x2418728a, 0x072905df,
+    0x7536c4e3, 0x776792f2, 0xbf49c4d8, 0x774057a5, 0xb0c9243d, 0x7cfb3d4d, 0xe09a3c3a, 0xf0927475,
+    0xa9e54e79, 0xde1b5d25, 0x3ecdbd5d, 0xf37738f7, 0xaa2579e1, 0xd5fe43a3, 0x698a3c9c, 0xce6e37f8,
+    0x5d53de97, 0x490cbaef, 0xbf8e2690, 0x1359d30c, 0x2f7d5b4e, 0xfefdf70a, 0x8557416e, 0xf0905249,
+    0x63c6c397, 0x11a2319b, 0x0b0e19a3, 0xe53825e6, 0x664e0fd0, 0x3ead05e4, 0x2d5162c3, 0x9c8604fa,
+    0xcf505f20, 0xfa92d749, 0x5d15ff85, 0x4ed686ea, 0x5b749662, 0xdc05d5b0, 0x8f693aaa, 0x0b9a79ab,
+    0x468201a3, 0x35ae9562, 0x62272969, 0x4934a28d, 0xcff36389, 0x8c1b73e6, 0x38729012, 0x707ac24f,
+    0x36d09ceb, 0x5ab52122, 0x69a72f42, 0x29f043e6, 0xc2548ef1, 0xcfb347aa, 0x1534c3c2, 0x6c045c90,
+    0x660a4041, 0xbf8786b7, 0xaeba6bf6, 0xc8a6cb91, 0x7a70e04a, 0xcacf4194, 0x01ef3524, 0x1f7dc7c0,
+    0xa8622dd2, 0xd570dcd6, 0x16ba4355, 0x56a4b720, 0x3ad38894, 0xf792d0b0, 0x89aef11e, 0x30ed7206,
+    0x26343fc0, 0x02afe2e9, 0x2bd20b6a, 0x7ea0e6b5, 0x139d66b6, 0x06880f97, 0x83a9175d, 0x7d3cd3d3,
+    0x98adaca2, 0x4679d5d6, 0x64526d65, 0x37270a65, 0x4661799f, 0xb77c6cc7, 0xfd89c29b, 0x08d51760,
+    0x5de42e5c, 0x9dd68e90, 0x0af68503, 0x86998e1c, 0xd027f12c, 0xca8e4de1, 0xcd90a4af, 0xc45eff3e,
+    0x5cfb8cea, 0x4be27a65, 0x6cca07d4, 0x8a6dbbf8, 0x84e43dc2, 0x2352b369, 0x904a7c29, 0x38f8aff0,
+    0x961a63e5, 0x97714786, 0x68ab237b, 0x34984643, 0x5def7146, 0x2bc3cb51, 0x9e9c2cf7, 0xb521a473,
+    0x2f4dbcbf, 0x7cf8a446, 0x048d386d, 0x9a411acb, 0xc163ebba, 0xe77cf399, 0xd7bf29c9, 0x5a2403ae,
+    0xb77f1613, 0x27ce2180, 0x12a75298, 0xf4f8f440, 0xa69b7272, 0xb9123ad3, 0x8390b54f, 0xed1ec662,
+    0x8f1b41f2, 0x1ed42c81, 0x1ed59fac, 0x92b05d20, 0x4ae310fc, 0xdd3d960f, 0x5ffd350f, 0xed3f10a3,
+    0x9495dfd0, 0x97128096, 0xcc34cae9, 0x163cc3df, 0xf0470255, 0x1814d90d, 0x946b2723, 0x94a7adda,
+    0xc100e2ed, 0x2e824f20, 0x7e58cf2b, 0x2d271611, 0xde59fb60, 0x9394aefb, 0x494510c2, 0x37266916,
+    0x11df5ec8, 0x3ed85047, 0x0305bdb6, 0x2a983457, 0xd8558806, 0xfce59639, 0x911e895c, 0x52dac773,
+    0x147ae081, 0x9bbb2634, 0xc85dbf30, 0xa426f26a, 0x7313f5e6, 0x3b012766, 0x6c05d1e2, 0x03e2c8d5,
+    0x08fafb48, 0x74a104c1, 0xeb2c8739, 0x1b45d6a7, 0xb76d8947, 0xf2b9c8b2, 0x7c4cf65a, 0xaed9c677,
+    0x864a198a, 0x49fb31c3, 0x8eec336f, 0xe28e30fd, 0x95b14c56, 0xa1161ca7, 0x86887be4, 0xd62a212e,
+    0x8257f81d, 0x7e653da8, 0x20339d09, 0xab41e071, 0xcad8e0b7, 0xb0826474, 0x5c43bf24, 0x633fcead,
+    0xec10c4c5, 0xf8c28acb, 0xcae138ff, 0x9bd7405e, 0x3f8db329, 0x937cc4db, 0x2079408f, 0xe33729d3,
+    0x62033687, 0xdf4cdd27, 0xf00a6b05, 0xc4df2ba3, 0x650bfdc7, 0xf92695c2, 0xaf14bf56, 0xb9c36d82,
+    0x096f3fa6, 0xecf327e1, 0x14bcdeae, 0x996e4b24, 0x55159c7d, 0xdf946c2c, 0x25e38728, 0x10867256,
+    0x0b9ad49b, 0x0f071c6e, 0xcd6b9300, 0x5129296c, 0x776944fb, 0x06dc6a53, 0x29d167ec, 0x92c00141,
+    0xed615757, 0xb96e69e9, 0x431bae47, 0xfb1ed298, 0x2c6092ee, 0xffcbd9e3, 0xcf168685, 0x30c28c91,
+    0x9db8de6b, 0x2bad2ee2, 0x6023836b, 0x1ad639ea, 0x02b6cad9, 0x06ac80c9, 0x36d32c1c, 0x9b2b0ae0,
+    0x32d45b2f, 0x9dea9c1a, 0x9fd74e0a, 0x266242d0, 0x5ca4ff7f, 0x6ee90e55, 0xee2b34d7, 0x95ddcd85,
+    0x6754316c, 0x90a31e4a, 0x80a620fc, 0xdfb1243c, 0xb92178af, 0x54fcc249, 0xa4041c15, 0xa43878f2,
+    0x05b522ec, 0x15f70612, 0xc69129f1, 0x1755561c, 0xf898876c, 0x675f66d9, 0x3626331e, 0x0a89b36d,
+    0x0f38f0ab, 0x74d6456d, 0x7b9cf9e2, 0x6d7202ee, 0xa70ca0a6, 0xe9a22f8b, 0x61ffe0c9, 0xfc4a7494,
+    0xbe6c98e5, 0x97ead4ab, 0xfe796f32, 0x3ede92b3, 0xc543af1b, 0xec2f45ea, 0xaed737a9, 0x9722210d,
+    0xc5472a3a, 0x4446c513, 0x86a0152e, 0x9569e49a, 0x90388cd3, 0x23554cb9, 0x6e354758, 0xfbec1bf2,
+    0x4cb4c01a, 0xc6735db8, 0xaaf1e4ec, 0x5ec8c3e0, 0xdb809a85, 0xe8e75398, 0x31972ca9, 0x38292868,
+    0x98254032, 0x3c73cdbd, 0x551b8702, 0xb0215875, 0x21dd2559, 0xd594ea4f, 0x20bad996, 0x18aa440e,
+    0x09d61a12, 0xdcf32be0, 0x30cf78c1, 0x7ba8d45d, 0xc04312fc, 0x99ae6513, 0x725b0699, 0xa26a2ef5,
+    0xc8c31554, 0x0dd2207b, 0xb7522b7d, 0x262857f7, 0x94fa0317, 0xa263023c, 0xe3d5bdf0, 0x88070ce1,
+    0xc80917b7, 0xfb68fa10, 0xd6b5e9e9, 0x3d77adba, 0xccbb2359, 0xb8e1bc14, 0xc5c2bfed, 0xcd69f077,
+    0xb4a23741, 0x6a068884, 0x302264a7, 0xbec924b6, 0x03367dd2, 0xd34551ea, 0x4d5949a5, 0xfd6b40fe,
+    0xb80c947f, 0xc95c8a60, 0xe7fba616, 0xfa5649be, 0x502550e8, 0x5c55a459, 0xe3b7cb55, 0xd7dc0018,
+    0x17349cbd, 0x5485123a, 0x5dff67d6, 0xdb2518b4, 0x1716c5d6, 0x1793a2d6, 0xde8a58a3, 0x82afe054,
+    0x025deceb, 0x8bc2d675, 0xe8ffdcba, 0x22c5b052, 0x699d6280, 0x92c4380c, 0x09c49f7a, 0x270a60be,
+    0x1c64d565, 0xd3bdca96, 0x4b45cca0, 0x8fe3aeb0, 0xbaf83bf5, 0x88e0b560, 0x434a0e1a, 0x02efc043,
+    0x9b0a332c, 0x012785ff, 0xc54a2632, 0x419eeb66, 0x05c0baeb, 0x66dcfa0d, 0xa1ca766d, 0xbbb6f7c9,
+    0x4f6f758f, 0x3fcf630e, 0x90e6439d, 0x0132430b, 0x706038f8, 0xf135e080, 0x4077adc8, 0x47309ff9,
+    0x97b6e056, 0x35ef9717, 0x2764152b, 0xce22cad0, 0xc27c96a7, 0x28529346, 0xb46f8e93, 0xfda947af,
+    0xd7406370, 0x934d6bfc, 0xc6afef74, 0xc5bcc603, 0x0d17924c, 0xbd2d4722, 0x45fc02d0, 0xce6e17fc,
+    0x39e846b9, 0x519fddbd, 0x1b3279ea, 0x499fd150, 0xd785acf0, 0xece1a2ae, 0xe50157f5, 0xf60b610d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000151771\
+                         00720513508366558296147058741458143803430094840009779784451085189728165691392 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269,
+    0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9e, 0x16741993,
+    0x00000000,
+    0x9800f120, 0x99619069, 0xaee2cc63, 0xe93b1a71, 0xb88d7ee4, 0xbbf948f1, 0x34375384, 0x4651c22f,
+    0x74b20098, 0xb0a4ac1f, 0x328cfee9, 0x54296090, 0x5c289bc6, 0x543da921, 0xcdbd042e, 0x703230a1,
+    0xf9dec1a4, 0xb34bb70c, 0xd28cde19, 0x4a9d795d, 0x42586872, 0xa467447f, 0xbf0b8174, 0xc19f9b71,
+    0xa886462d, 0x0719f583, 0xe6f28738, 0xe24157b6, 0x833e89e0, 0x843fc280, 0x628ae719, 0x575c16af,
+    0x200c8e91, 0x34590db9, 0xaf4ea8a2, 0x7714496c, 0xde4bd3dd, 0x74aad8b4, 0xe887872f, 0x660d7486,
+    0x89d25799, 0x2c473766, 0x9eb95fcc, 0x4fc28bd5, 0xebb7d0ac, 0xe7c3b2db, 0x7e49ca3b, 0x02aaac4e,
+    0x7fb5bd56, 0x16fd23ed, 0xe285466f, 0x9fda17e7, 0xa8d8bf57, 0xa3004dd0, 0x23d2acdf, 0x8a3d542d,
+    0x1294097e, 0xac71c0d2, 0xa72b6829, 0xf4f2cf28, 0x99f1d8c9, 0x3d0b41f1, 0xf8ecf2cf, 0x577a5364,
+    0x15a043b1, 0x00e2a2f4, 0x069703b3, 0x054fe9fd, 0xaf1b520b, 0x34159d37, 0x2fa64dac, 0x8689d23a,
+    0xd5b97070, 0xbde5b35d, 0x6faecf30, 0x00d6faae, 0x8faab286, 0xecfa0faa, 0x4135435f, 0xa65fd46d,
+    0x953b375a, 0x4b2075bb, 0x63686614, 0x79659e0c, 0x266fdb9d, 0xd6e3f15e, 0xab315060, 0xed3556bb,
+    0xd1d84f55, 0x69c445d1, 0xb5b52380, 0x0e3d5ff5, 0xc010f213, 0x68129630, 0x43e0ccd5, 0xc458cb31,
+    0x8fc39eed, 0x71185564, 0x56373ae3, 0x15f7bdab, 0x1f002909, 0x30a4a8fe, 0xfa57bc50, 0xa61d4aac,
+    0x3dbe2b57, 0xdaf0173a, 0x5e52897a, 0xd58ffa13, 0x053f3c2f, 0xc46f099e, 0x4b737178, 0x3932a36c,
+    0xdc38be31, 0x0f3ba6f1, 0x83bcfaa1, 0x95a89c07, 0x90b37b60, 0x3347d781, 0xc5f9ff5d, 0x40fe685a,
+    0x681539f5, 0x5b25c48a, 0x07112ada, 0x5ae11cf1, 0xcd4d7c9c, 0x2d06b43b, 0x368370f8, 0x28a915fd,
+    0xc61c66e0, 0xb41086ce, 0x9bf0f168, 0x1be2c033, 0xf35352a5, 0x62745890, 0x81a5dbf1, 0x3f012233,
+    0xcb82121a, 0xf2f4f659, 0x6db4c6f2, 0x484d0035, 0xc7cf1f07, 0x2a380758, 0x272311a5, 0x51fb1bed,
+    0xe770bced, 0xa0c1a20b, 0x59191db7, 0x68c654e6, 0x29fa0c61, 0x345e96a6, 0x806213e4, 0x6f5613f2,
+    0xaab4da36, 0x28aba5ff, 0x2ae80032, 0x89cb9c72, 0x3b2f27f9, 0xa0f426a2, 0x0d2401d3, 0xc68cdeb1,
+    0xf9167d3d, 0x2e953267, 0x584c8454, 0x2b67e711, 0xfc32cd4b, 0x0e53536c, 0x163a3ed3, 0xa568c1ee,
+    0x3967522d, 0xd9fad5f9, 0xd79ab3af, 0xdc3617e3, 0x98ed3cf8, 0x68ff9e02, 0xead0e141, 0x59d82614,
+    0x921899b3, 0xbe65a15d, 0x635807a5, 0xe9595b29, 0xc78a69a2, 0x3ec88b1c, 0x29c7ad92, 0xe84abcd3,
+    0x55e0dd74, 0xeb9ca5e3, 0xd39e4648, 0xb8225408, 0xbebe678f, 0xd12bb0bc, 0x2c7599b3, 0xa7407cc7,
+    0x66394462, 0x5750a83e, 0x2c52adef, 0xc9668cae, 0x931c840e, 0x4480c23e, 0xaf0e5b29, 0xeaf9b4ac,
+    0x5907ef51, 0x6a960d0d, 0x6dd13553, 0x572e4646, 0xef7e7894, 0xa827a819, 0xfa1482d8, 0x25257da7,
+    0x1ca0cabd, 0xf2358e04, 0xd1823539, 0x14fa5cc8, 0xbc1a544f, 0xff59bdae, 0xfefe1e89, 0xc4becc84,
+    0x603ce58b, 0x3bed8eaa, 0x8bed32df, 0x7fe761b7, 0x776cb854, 0x6cc07fca, 0x5c0e3861, 0x194491a8,
+    0x9ef3f07e, 0x6d433d0d, 0xcd28aa92, 0xcd41654b, 0xcdbf2d28, 0x36b6a24d, 0xd127c6ce, 0xfd4a6358,
+    0xe2861369, 0x719d7c89, 0x7d3e2c37, 0xe490e40d, 0xeac1698a, 0x6070b9d0, 0xdacb9321, 0x3e4c9fa5,
+    0xdf2a309e, 0x257abb8e, 0xd8199cbf, 0xe2d77df7, 0x2ed42e2c, 0xd5b3692f, 0x4045489c, 0xc1a541e0,
+    0xe82833e3, 0xbb9d2477, 0x9abf3d1b, 0x7574ce29, 0x492e354e, 0x7eddf857, 0x9b4fcd92, 0x00da8baf,
+    0xdc9f034e, 0x25bd939d, 0x0fa9c17e, 0xc434df60, 0x8acf8d7b, 0x98b56c1a, 0xef580481, 0x14898fa3,
+    0x83ca9688, 0x674f53b9, 0xc49e0b93, 0x5346744a, 0x005382df, 0xec85ad7e, 0x7b4a9b88, 0x4cb13267,
+    0x25b831a3, 0x9ed1d7dd, 0xde73fe7a, 0x5f3d4c92, 0xed262d9b, 0xe85c92cb, 0xd933dc74, 0x80005fe8,
+    0xa5a9230e, 0x0d91ff3f, 0xafd7eeac, 0xbfccad89, 0x40dc4010, 0x8131a488, 0x0d8a7138, 0xcfc57c15,
+    0x9e27b6c9, 0xacb22474, 0x4fcfa9cc, 0x27aba711, 0xef32a25a, 0x5af3aa7f, 0x1dd92310, 0xedb8e00d,
+    0x52e16a9e, 0x2cb62270, 0xad52c532, 0xf014e7e0, 0x2681336a, 0xb2bc71a3, 0x120f246d, 0xfcc95af7,
+    0xf381b569, 0xe4d17b04, 0xacd82edb, 0xc525b5ed, 0xd1ee18e7, 0xa377579e, 0x252dd9e6, 0xaba9636b,
+    0xaf33a884, 0xe6171d84, 0xbd459b1c, 0xad4534b2, 0x47da29a2, 0xcddcbe38, 0xa8be6c92, 0x1f211ade,
+    0xf1be6150, 0x679f6d5f, 0xf9f7cb4e, 0x50406d33, 0x2cd35ba5, 0x0792879f, 0xf4340cdd, 0xbdd359e2,
+    0x560528d9, 0x1d3a82e0, 0xe54bd087, 0x0024f373, 0x341b264a, 0xb02c5d84, 0xe395c799, 0x91f56fc8,
+    0x5620c57d, 0x3355ecd7, 0x7221d1f1, 0x54c629e6, 0xeb341570, 0x233af5b5, 0xc2e02cdf, 0x56809ddd,
+    0x73a3d172, 0x3db2c25c, 0xc761b7ca, 0x80d0cc0c, 0x97198369, 0xc4287843, 0x61563880, 0xf39ab794,
+    0xbe76b210, 0xecfde1f0, 0x3da95534, 0xdfe31c3d, 0x9c66180f, 0x30c09234, 0xd2f61f46, 0x3951f3ce,
+    0xc093c446, 0xf83805ac, 0xa0c528e3, 0x7f3a03d7, 0x0f58c135, 0x9f14b5c3, 0xefea80ea, 0xf4c75144,
+    0x13d6d793, 0xe774bcad, 0x9f4924dc, 0xcfecad7e, 0x38a3d0a4, 0xdd2241c3, 0xfe689d92, 0x909f9137,
+    0x6cf5fc5c, 0xc947e1f6, 0x592e3f3c, 0x42f76bc4, 0x573850ee, 0x3ca35d72, 0x903b55a1, 0x9d761b3e,
+    0xd1856593, 0xbb2731c7, 0x721a5881, 0xb549a274, 0x233b6b39, 0x810c1b63, 0x04f50852, 0x86330909,
+    0x52a7f8be, 0xd37c6a49, 0x2825013d, 0xa5768da4, 0x7eff46c8, 0xc1fbe329, 0x3dc56d85, 0xe43f9fc5,
+    0x3f8cdcf0, 0x8f1afadb, 0x34c75c7a, 0xd2372d18, 0x7c920d06, 0x0fd93e13, 0x5e2932f6, 0x3e2935cc,
+    0x887c8463, 0xc167de52, 0x785bd55d, 0x22f6ff95, 0x0eadac2f, 0x1b344b21, 0x86269f7d, 0x276a6219,
+    0xb5b7bb60, 0x26a8a6bf, 0x94fd33d2, 0x62d977bc, 0x584d8d5e, 0x34c6d3dd, 0x13068879, 0x2efca135,
+    0x48af32b2, 0xa08a9509, 0x0a96b439, 0xba9a5e4b, 0x156452c1, 0x7447cfb9, 0x381c681a, 0x39e6f267,
+    0xb3ed0d53, 0xaecc98fc, 0x77812d53, 0xea36bdbd, 0xebc2cfc2, 0xfb3216be, 0x7188c4a9, 0x4ebee3e1,
+    0x8d0b03ce, 0xe7eab299, 0x866944e3, 0xfc58be3d, 0x92e21c7d, 0x57cedfaa, 0xdf1836de, 0xfee2bc05,
+    0x79ecb9f5, 0x3ed3723c, 0x539f4019, 0x825144ef, 0x346ea80d, 0x0cf5098d, 0x299e0254, 0xef86a514,
+    0xaf2f2e8c, 0x5e21c488, 0xe8087d98, 0xc7bcef88, 0xdcc1e28d, 0x620b262b, 0xae1441b8, 0xb9ee0c23,
+    0x6546e876, 0xb6f76263, 0x8c8bcd2c, 0xeb2abdca, 0xf68d9621, 0xadf53bc6, 0x872de729, 0x97f61326,
+    0xe792bc15, 0x0576d0bf, 0x5521bef3, 0x9d64661d, 0xe962704b, 0x8449d9b6, 0xe40fcc51, 0x4e8a32c1,
+    0x5a02d06d, 0x4927e98e, 0x0f0daabe, 0xb86b70e8, 0xf0f5f360, 0x31c98c2f, 0x5f77739d, 0x8221885c,
+    0x71589e61, 0x593083f5, 0x83444a63, 0x722e52d0, 0xc30975dc, 0xf261ca4f, 0xfebb2c5c, 0x39a51904,
+    0xcdae2b24, 0xd31c7cde, 0xd471a1ba, 0x820ca6cb, 0xd0a8c51b, 0x34af306b, 0xcb45b67d, 0xe071ad98,
+    0x89860d74, 0x3560dbc0, 0x118febde, 0x95b14692, 0x01540ed2, 0xa085736c, 0x9aea0ba4, 0xe75971e7,
+    0x0938a3d5, 0xc451782b, 0xa476601a, 0xa07ab472, 0x8e6b2c8a, 0xc815e243, 0x27f1dd82, 0x0cf9fb11,
+    0xe14cfc71, 0xecadfffe, 0xe5b356f5, 0x6c2eaa18, 0xb9062df9, 0xc42280b8, 0xe3f95e57, 0x1d19c921,
+    0x268666f1, 0xa8d4df4a, 0xa12d5f09, 0x7167ceca, 0x2cf3a492, 0x01dcab37, 0x49eb1538, 0x9640d8f7,
+    0xed19bd4e, 0xba3d4ac7, 0x31b0a1ff, 0xc9a2d2ac, 0x705d7ed3, 0xe8c55c94, 0xf8f330ca, 0xfe5b0c89,
+    0xe32e15b5, 0x0f8b1d7c, 0x88b460d9, 0x418a4e59, 0x1b10fb55, 0x5fa09d09, 0x3ce9c6cf, 0x8ea4633b,
+    0x5c51f3d7, 0xfc89852b, 0x3e750d1e, 0x591cf417, 0xb4d56b4c, 0xf0b24f2f, 0x2740f4c8, 0xccdaea3f,
+    0xda460241, 0xa7cdb77c, 0x0653da42, 0x5a13972f, 0xa3b0d216, 0xc29882ef, 0x90b6b4a9, 0x2adde1e6,
+    0x753d8c8c, 0xca9c4254, 0xbee6fd71, 0xacf06a7d, 0x50f5509b, 0x617ea05e, 0x1971c054, 0x49b2578b,
+    0x73f7176e, 0x00a3f956, 0x85a45d26, 0xa84a5c2b, 0x81d61883, 0x088344d4, 0xd9a56cee, 0xb0330b4d,
+    0xbd5d2685, 0x0e65ff4c, 0xbd0429cc, 0xed8849f2, 0x78dc59bd, 0x51f9941b, 0xdfcc9615, 0xad7339aa,
+    0xb3191fe4, 0x4bc1f6b8, 0x0f9243a3, 0xe46f38ef, 0x1e17de57, 0x70da87a7, 0xfcb948d8, 0xe5446cbc,
+    0x5a4d3950, 0xaa301f7b, 0x59f9c048, 0xbb440191, 0xe5806df7, 0x7845cb40, 0xfa02171b, 0xdf9eb368,
+    0x308346bf, 0xfb0e73cb, 0x5b86aa7e, 0xa5dce8b4, 0x3884aacb, 0x78d213dc, 0x4e91cb08, 0xf7fb1a9e,
+    0x90708f82, 0x4cd353e8, 0x20d20f55, 0xfa0b2f34, 0xaea9f820, 0xc4ed45a6, 0xa0ba4ce9, 0x67d95068,
+    0xb3e72970, 0x1f96bf1d, 0x1fc5b2b4, 0x80bc96ee, 0xdc3d5f09, 0x7414ec7c, 0x0b87012f, 0xedd00e03,
+    0x944bebc3, 0xd9211788, 0x3986292a, 0x1e84bdd3, 0xd557cf63, 0xe6b61d66, 0x6ce69886, 0x868bb59d,
+    0x2d6588e5, 0x010c5696, 0x29aa17d1, 0xdcfa6482, 0x2ee80434, 0x0d868ef8, 0xc84cb55a, 0x9646cbaf,
+    0x9f87005a, 0xaef00844, 0x0523ba8c, 0xd5660bfb, 0x5ccd0f97, 0x1d1ca8ab, 0x5fbd04f5, 0x2df8a278,
+    0xbf660658, 0x0f021106, 0xc064317e, 0x59d4e031, 0x74f7aabf, 0x5ba92cf1, 0x702982ec, 0x6d9ce0a2,
+    0xa3b060e9, 0x5caade60, 0xcc252cba, 0x41bd0c50, 0xe3d03488, 0x4dded7eb, 0x62103448, 0xc05594cd,
+    0x56aec47b, 0x59eafc56, 0x2a08ece5, 0xc125de9e, 0x738c6f34, 0x2e4bcc4b, 0x2020e950, 0x3e68f2d9,
+    0xe24ff4ef, 0x89848feb, 0x56df373c, 0x8247e639, 0xc6f4c81b, 0x17f50187, 0x7aab6e10, 0x069ee1ef,
+    0x82818e73, 0x786145c3, 0x0fd8a3b1, 0x8c8ef346, 0x03bd6018, 0xa8e4ac63, 0xe2dc9a1b, 0x1db555ec,
+    0x777bc6df, 0xe23b13ae, 0xb008f44b, 0x67576970, 0xbfd9c2eb, 0xd4b22b95, 0x2d14f040, 0x9a3d7481,
+    0x4a0e8567, 0x77c0ea08, 0x08dfe14d, 0x8571aab2, 0x1a9b8f8f, 0xe6aca219, 0xed3bf75a, 0x3fd24c71,
+    0xff566d10, 0xef3fb27a, 0x98fb51f2, 0xa216c4e3, 0xf1bbdf07, 0xb8db67b4, 0xbe862ca3, 0x80b2ecf3,
+    0xf882a314, 0x40a67e16, 0x1381d29e, 0x8b315b7a, 0x728ad840, 0xbbe1efdb, 0xea3b6594, 0xd705b326,
+    0x8c6bdf34, 0xc32384c5, 0x62487daa, 0xc06a18f3, 0x303a1e3a, 0x01f6a810, 0xcf8f075f, 0xd113aeb3,
+    0xcfe5636d, 0x5c1c318f, 0x1c04bd89, 0x24d66d81, 0x7cd96452, 0xae8eb7a8, 0x4dc1c800, 0x67df82d4,
+    0xbd80bab9, 0xcc7a4463, 0x43c2b782, 0x983501b2, 0xeb564b7c, 0xb9295a3d, 0xd3977a9c, 0x3860fd04,
+    0x647f49b0, 0xf44c417f, 0xb9207186, 0x9715d137, 0xb7a088a9, 0xd9849713, 0xfd2bd3c2, 0x1ad28b27,
+    0x14ff3a50, 0x1ea84bf3, 0xf1ac78c3, 0x0f3982a6, 0xd261b3b6, 0x4fe5485b, 0x1e391754, 0xba1f0ed3,
+    0xbc147026, 0xd042c8e0, 0x78e518ef, 0x7a046493, 0x9afb21ef, 0xb84041da, 0xb35899f0, 0xe8ca726d,
+    0x71112999, 0x18220593, 0x79bd0eb1, 0x36f7abef, 0xdcd0980d, 0x58ee5931, 0x6453804f, 0x90333731,
+    0x8bf8b144, 0x954aa387, 0x93ec8571, 0x3dfff517, 0x892f2749, 0x0dcb5519, 0x1690dec7, 0xebb9b3fa,
+    0x8723756d, 0x6270a9d6, 0xc09135fa, 0x0cecf9f8, 0xa29b246f, 0xa7c7fffa, 0x71476931, 0xbd57bf91,
+    0xeea6415b, 0xa816b88b, 0xf51d414f, 0xefd16bc1, 0x2d745ad6, 0x3eb70c19, 0x55cf7db0, 0x11abfc26,
+    0x9494d11d, 0x1e605ed7, 0x594e17a0, 0xeb7c5713, 0x0ab19de7, 0x0a0679b4, 0xae1e6afb, 0x8da052e1,
+    0x4a3cf705, 0x3d1853cb, 0x451c94fd, 0xef58fa86, 0xa7b79095, 0xe2869b7f, 0x6bac4779, 0xc6e00a91,
+    0x7dd3f4d6, 0x9e9d365b, 0x79b277aa, 0xaa14691a, 0xb9821701, 0xfc0bb7b9, 0x61083d5f, 0x8e44bb0a,
+    0x266d89a1, 0x3858124c, 0xa5981d13, 0xc026d6bf, 0x26dfbc07, 0x103c6d3b, 0x058af368, 0xc9d1db9f,
+    0xa8d1634f, 0x30c05ff8, 0x823f1a54, 0xc154fecb, 0x7cde17b1, 0x0bef89c8, 0x1546e320, 0x0f190720,
+    0x9ba10ff6, 0x4650aae5, 0x10126afd, 0xe86756d1, 0xe02d834d, 0xcb1b69ec, 0x17906510, 0x0bdfaaa9,
+    0xac17603c, 0x2bc3e0ed, 0xef6b1cf8, 0xd58bd1fd, 0xefe737d0, 0x93c499e4, 0x16cd13c5, 0x92c7b919,
+    0x35b379c8, 0xf197fefe, 0x07101102, 0xc54ea05a, 0x8df7c5d6, 0x831d6223, 0x7c330f60, 0x53e256b7,
+    0xb58367a4, 0xf6c10eed, 0x75d54e11, 0x19ac4bae, 0xfad11017, 0x6b22f951, 0x2d36fab5, 0xeb17af33,
+    0x9195c83e, 0x49d506a5, 0xaac144d4, 0x4903532f, 0x9783281f, 0xdb064ed6, 0x59bce675, 0xd8c31380,
+    0x7360bdcb, 0xbcf1712f, 0xf8371228, 0x3040f3af, 0x69729dfd, 0x91eba210, 0x857d70fe, 0xfbf78558,
+    0x877bfec3, 0xe1ecd63a, 0xbf02aa6d, 0x5960cc6f, 0x635e72de, 0x58199c4b, 0xd11bda44, 0x9799344f,
+    0xa177e973, 0xc8c5638a, 0xbab32ad1, 0x6121ccd2, 0x9bb4a0cb, 0x7aa1dd5b, 0x5c62476e, 0x5a75fee8,
+    0x77b3b610, 0x0d8aa69f, 0x649db541, 0x509395f8, 0x185edf4a, 0xc2c1b316, 0xc84c6672, 0x81840afa,
+    0x9a52d138, 0x259f4a74, 0x0cea320c, 0xe3c29b68, 0xeca9ef83, 0x3092bde7, 0x2cf85d14, 0x1828c27c,
+    0x5203f968, 0x40af466e, 0xa789d560, 0xf9b0ca41, 0xa76dc8b4, 0x2d4eec7a, 0x945af456, 0x4389b32f,
+    0x028c619e, 0xfa77bc87, 0x869f1e7c, 0x7b87bbe9, 0x75bb2116, 0x6a6a78dc, 0x8b2a01a7, 0xafe535ee,
+    0x67cd4559, 0x385b4ea9, 0xe7b35490, 0xa7d94051, 0xf0c67bc1, 0xbc9ec635, 0xe6468b95, 0xcaca011d,
+    0x490b4b97, 0x288d979a, 0xfeddd61f, 0xc0911617, 0x1b469b69, 0x1d40d4c7, 0xf66c0303, 0x6d0ff85c,
+    0x827aab18, 0xc351ed27, 0x305e3a43, 0x89b566dc, 0xcbe62faa, 0x1a181206, 0x401555ff, 0x97cc5193,
+    0xed598596, 0x9da5c70c, 0x7c6602a8, 0x5e410af0, 0xfda357ac, 0xf153bcac, 0xb754d713, 0x3649c4f3,
+    0x805a852a, 0x2c4fe5c4, 0xdbd91b31, 0xeee35b2d, 0x9b5040f1, 0x6e7f004f, 0x4b38e070, 0x391c3e61,
+    0x680c59a8, 0x13928c74, 0xe4411ead, 0xa88d357a, 0x5961618b, 0x90099ef8, 0x347c785d, 0xac35e619,
+    0x161c4d4a, 0x567d40e2, 0x321e5c8a, 0x35bd9aaf, 0x99e69c75, 0x4daba4c5, 0xd314faa3, 0x684a506d,
+    0xbac2ac23, 0xd7599a34, 0x9dee87e3, 0x91b1e169, 0x5ef196ad, 0x05d17cf0, 0x38239217, 0x469d0c78,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000075885\
+                         50360256754183279148073529370729071901715047420004889892225542594864082845696 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934,
+    0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105cf, 0x0b3a0cc9,
+    0x00000000,
+    0x8b7c8845, 0xfca38c29, 0x8e87920b, 0x0c55df01, 0xcea987c1, 0xa7273019, 0x22923e07, 0x1dccf64d,
+    0xf52027cf, 0xa042f9cd, 0x05ad7294, 0xbfd59a7d, 0x98845524, 0x16925059, 0x743e2d56, 0xae7cdc93,
+    0xbece213e, 0xcb4c1453, 0xd639a134, 0xaae8bd9d, 0x1872ce16, 0x95c13b4c, 0x4aafb7ce, 0xd728f4ff,
+    0x448b4373, 0x4448f935, 0xe25fd453, 0xe917ee80, 0xe6a35186, 0x7f3f06b9, 0xb321ccf6, 0x08374dd9,
+    0x9f877399, 0xe1d00804, 0x584b1422, 0xc5e468bf, 0xb93cede1, 0x325b5151, 0xc1e84309, 0xc1cdad24,
+    0xf5b831c7, 0xa1b0263c, 0x7d7a8960, 0x991b47c0, 0x566347c9, 0x4540dda8, 0xff33729f, 0x8d86c67c,
+    0x77f585f1, 0x3f2249cf, 0xdfb9e662, 0xdac9cbd2, 0xdc352945, 0xf67c0290, 0x77b0049b, 0x68a9d863,
+    0xed23a97e, 0x69f1488c, 0xace4af4e, 0x3858d29a, 0x3eae4606, 0x7bab8ad1, 0x2ebdb73d, 0x4425e1f4,
+    0x496e3591, 0x12d11cd3, 0x617796a4, 0x634e3e07, 0x63a62b4c, 0x6cfe7345, 0x77bef338, 0x4e123ab0,
+    0xa515ef1b, 0x17007dcb, 0x0905bd38, 0x743a9358, 0x225445d5, 0x94df1211, 0xf8994b47, 0x2368911a,
+    0x9aec67b0, 0x8190a18c, 0x70262556, 0x8576f215, 0x8920c50c, 0x6da8157e, 0x63432089, 0xe16cd19d,
+    0x4491a5a3, 0x0061b885, 0xddf863c6, 0x0d8d446d, 0x0bc97595, 0x08a5e983, 0x8612931f, 0xf9d3cf84,
+    0x9d737041, 0x5f3c5fbe, 0x3331653a, 0xeb7d6bf2, 0x34de961b, 0xd72fbfd2, 0xaf21d8b8, 0x846fba4f,
+    0xc4c9adeb, 0x91df2381, 0x4bed239c, 0x1ab3f35d, 0x3393c8b6, 0x80ffab07, 0x804360b9, 0x6aa7e5c2,
+    0xf77848ac, 0xe325b335, 0xa56c3c82, 0xd7f848db, 0xd668dcc1, 0x2b7a89ea, 0x844f00db, 0xff9f7b6d,
+    0xdce9dbf8, 0x028fd460, 0x1df898c4, 0x8a1a3ffd, 0xef22c9b4, 0x6c5715d8, 0xaa5b7730, 0x4abf766c,
+    0xd6b7b786, 0xe0218ecd, 0x90e10de1, 0xd1242d8d, 0x1258221e, 0xee135ac1, 0x7c82aa44, 0x07ec0a03,
+    0x9dac6673, 0x73f09955, 0x467875ce, 0x82783924, 0xad9242d1, 0x14a64b62, 0xa141a243, 0x6b497c50,
+    0x1e2ebe8c, 0x553777d7, 0x61fc709d, 0xd64d6688, 0x48d4107f, 0x9caf50bb, 0x02634ae5, 0x14ada8e8,
+    0x14f3d4ea, 0xc94d8ca3, 0x23d945dd, 0x0d4549a9, 0xb19ae967, 0xada7ba37, 0x955a0aa7, 0xbc506424,
+    0x9a9b80ed, 0x542fa764, 0xc64e2697, 0x5cbb373a, 0x06a92ea2, 0x3ef56dc0, 0xd39f9cae, 0xf86e4e85,
+    0xeb2229ce, 0x4559cc57, 0xeb925411, 0x241c3c0f, 0x058336be, 0x17c8d00b, 0x8e03b172, 0x531cbd16,
+    0x8bb51c2d, 0xa487ceb6, 0xf5e57bf6, 0x07eca6b3, 0x54ee0645, 0x78490236, 0x6e2f4096, 0xc6c62e51,
+    0x56b9b290, 0x02d58eaa, 0x517d3b3a, 0xaa81bf76, 0x517de4f3, 0x5116a0ff, 0x8ee05e88, 0x5ad61969,
+    0x4dcc8aaf, 0xcb2c03d1, 0xa0a32b2e, 0xbc6b3791, 0x55e63218, 0x207fac40, 0xfb46f25e, 0xc3e017cf,
+    0x5dc53733, 0x20911c2a, 0x31003cb9, 0x33427ab1, 0x690739a7, 0xfc028db3, 0x484bea74, 0x05865065,
+    0x8f96463f, 0xbbfb80bc, 0xa44f43e0, 0x2b937838, 0x8aed590e, 0x62835296, 0xd6ac7906, 0x75cc8fcc,
+    0x9b85ea59, 0x0cea413c, 0x1fff4bdb, 0x5999811c, 0x2f4bb090, 0xf23e2880, 0x4b671fb7, 0xee290a28,
+    0xf9c9befb, 0x9bf64f4e, 0x704b6861, 0x305d95be, 0x7eeeff0e, 0x87210e74, 0x6899e269, 0x733cc17b,
+    0xf56912df, 0x8082eef8, 0x79314cd8, 0x2de8887b, 0x72a9bea2, 0xb02d2109, 0x153f52fc, 0x18de91e3,
+    0x79dd0056, 0x106493c0, 0x9fe3271a, 0x60b04cae, 0xb672e895, 0x9ceccc19, 0x5fb8a24e, 0x547d90d7,
+    0xe38d4da4, 0xd90d9403, 0xf662a37c, 0x2d87b702, 0x496cf367, 0x36de5ece, 0xc92efdfe, 0x9f952968,
+    0x9ce06081, 0xad21b59c, 0x3067d94b, 0xae494b4c, 0x792fe806, 0x5f00ea9b, 0x223d5de7, 0x0800e5d9,
+    0x1c2573a4, 0x2f791c19, 0xa83ada2b, 0x53e2010d, 0x8585adda, 0xb4ca059a, 0x9e0ace39, 0xf07548ab,
+    0x82673fcf, 0x31de6f23, 0x1f8d3f21, 0x4c935718, 0xe4e5ded3, 0x2d7768a5, 0xc67216bb, 0x15e6ef3e,
+    0x4f1cd039, 0x2aac88c5, 0x2ead9d08, 0x02f9bc71, 0x94ab8381, 0xbb2575d3, 0x8e372448, 0x0414faac,
+    0xdab629ea, 0x91fb3799, 0x74d8f902, 0x652f3f06, 0x74c26fd9, 0xc6230498, 0xd2efb96f, 0xbb4a3710,
+    0x56ef3616, 0xce7378f4, 0x9dcfe1e5, 0xc8de29af, 0x2fb0d39f, 0xb508ec13, 0x4fce75a6, 0x08f12e37,
+    0x6b864a36, 0xe5d0fce7, 0xe00553c2, 0xc1246da9, 0xa61163fb, 0x7553a0cc, 0xe33526a6, 0xb2cc1ec5,
+    0xa4b88b9d, 0xfbbaa73f, 0x98947a3f, 0xbefac029, 0x3426d95a, 0x2a4a38ef, 0x868f8394, 0x353b2a0f,
+    0xf34ca579, 0x89c0cd17, 0xc3b656f7, 0xdcb6671f, 0xb3b33e07, 0xa6d87b0f, 0x163b4e8c, 0xd77ffa67,
+    0xb99b2d4d, 0xa33692ae, 0xcc3bbc1e, 0x3cd1a713, 0xd4d98373, 0x33b442d0, 0xf1c2c829, 0x905b20dd,
+    0x93f0279d, 0x8ed437a2, 0xb4a2d8e6, 0x50d912fe, 0x93c66cd5, 0x246e182b, 0xc799432f, 0xbcfc9e3c,
+    0xa75d5a81, 0x5d4fcad3, 0xbf89cbfa, 0x859478a7, 0xf7fae89c, 0x6a5b434c, 0x516ee281, 0x94a6423c,
+    0xc5b62f52, 0xdfc358ed, 0xeff61023, 0xd0b69201, 0xdc475160, 0x09dd9e12, 0xc737af36, 0xbba5e3fd,
+    0x5c1a5854, 0x9ef11970, 0x1f8bf1f1, 0x16a4dad6, 0x342c7fd6, 0xa32dd069, 0xb66481c8, 0x14cdc9c3,
+    0xd0af1866, 0xcc7a819e, 0x37c721ef, 0xd77a37a7, 0x87012260, 0x205fa709, 0x5b15529a, 0x438ffe30,
+    0xd21fa740, 0xf8cbc12c, 0xe6ea7e6e, 0x68b03f20, 0x4c173029, 0x2daae616, 0x3d88cf1d, 0x0bd65213,
+    0xfdd02739, 0xaffb932e, 0xd8d5af55, 0xd5835463, 0xb038e4d6, 0x41af4fac, 0x315f4d26, 0xf4b2d43f,
+    0x0eb5ec47, 0xd3825bdc, 0x51e5670a, 0xd5571ffa, 0x8bd1cfca, 0x9e8077a6, 0xaccac30b, 0xa34eb71a,
+    0xde074ac0, 0x0b8bbc5d, 0xa251361e, 0x41578d74, 0x09d3ce4d, 0xcbe626c1, 0x82c0ca80, 0xdb097892,
+    0xd7331924, 0xeef00e77, 0x096439e3, 0xc3ca264b, 0xfd69e73e, 0x168f9921, 0xf6b5b15b, 0x174f56f0,
+    0xb0d73a11, 0x4235efa7, 0x8f4f4c4a, 0xcebd283e, 0xd5a8d828, 0xa96f2220, 0x56f04530, 0xea3d2f24,
+    0xeb9af5ea, 0x3dc1c039, 0xe9a821bd, 0x4f4bbd88, 0x2fe77650, 0x881badbd, 0x561b7f8a, 0x2a119159,
+    0x47aea45d, 0xd6bd5a9a, 0x80d4e8c0, 0x35cf1d82, 0x3f2820eb, 0x0f7dcd27, 0xa6f29cf2, 0x55b9b455,
+    0xd109d9c8, 0xf44ac079, 0x170bab98, 0x3dda5871, 0xf76282c7, 0x6c966dea, 0x38d276b2, 0xbd09e65b,
+    0xa2ae130f, 0xae9781e9, 0xda0c3ad5, 0xaf212292, 0x7064fb03, 0x5ff55088, 0xed7c4772, 0x490c1d31,
+    0x52cc43c9, 0x1888177d, 0xda63f834, 0x8f199f5b, 0x188439fe, 0x67c59188, 0xd23a1dab, 0x8b0e2191,
+    0xd2991bfc, 0x665bf0ee, 0x51228099, 0x4158d6ba, 0x29f6fd0c, 0x77a8c2f4, 0x3e4500f0, 0x5a12e2ac,
+    0x53bc5e98, 0xa58bae01, 0x2d974c74, 0x970462b7, 0x0fad7df4, 0x6f6a2366, 0x5c536348, 0x02e98e45,
+    0xb2c2e937, 0x8e70ca95, 0x8b4b4cde, 0x83e9bb86, 0x1ed203e0, 0x14ea3daf, 0x3f170374, 0x69354077,
+    0xf175060f, 0xf9faaf99, 0x9b10a45f, 0xc68ba8bc, 0x94d5bad9, 0x9ec660b9, 0x5316bf31, 0x4977ade2,
+    0x2cdd74e3, 0x896fbe71, 0xafd383db, 0x50452d9d, 0x8decd8a0, 0x5434d11c, 0x6e86dfe3, 0x1b7950d8,
+    0x947b07d1, 0x3ac3c6dd, 0x9308ecaa, 0x3aa362d3, 0x1befb35d, 0xc3702d4e, 0x7fb748f4, 0x9924b0be,
+    0xd04ca4c6, 0xb8eb4bcc, 0x44859483, 0x9ad012ce, 0xe86a4925, 0xa88791c3, 0xfbcb718b, 0x870ecf87,
+    0x8d451543, 0x0e2e75b0, 0xb950e19a, 0x2757a1eb, 0x46d91134, 0x2f3f97c8, 0xa1c5e064, 0x02e48dc8,
+    0xee3a875f, 0x709b4c8b, 0xb9b09993, 0xdec1dcd0, 0x098c101e, 0xba2c98df, 0x20e52f75, 0xc6b68c37,
+    0x9069a67f, 0x03fe6a10, 0xe800b005, 0x4908af97, 0xe91e1abf, 0x320fae79, 0x9154cf5b, 0xfd2c985e,
+    0xcf9386ff, 0x8920ddfe, 0x216cbe12, 0xd684df73, 0xd1c3635c, 0xbb9630cb, 0xcf3b358a, 0xfc1f060a,
+    0x41cb7527, 0x2383e48d, 0x0eac3dab, 0xeec30eae, 0xbcd2459e, 0xecac5705, 0x5730570c, 0xf7d7b9d8,
+    0x95acb142, 0x9d53125f, 0x81f5e170, 0x62394913, 0xa9f77bc7, 0x66ab5db7, 0xd1073315, 0x311f8c78,
+    0x053f21c9, 0xd0f13294, 0xaa62d690, 0x350e49bd, 0x52a94a88, 0xa6b01904, 0x177bcbfc, 0x39db09c4,
+    0x3e83ded0, 0xd206949f, 0xafd9ad25, 0xdaae1d66, 0x9fc06717, 0x48b6a708, 0x08b71dbc, 0x686522f4,
+    0xe1e904d3, 0x005f1a44, 0xed5ec2ba, 0x41fbbc5d, 0xb4a4d3b1, 0x6c244355, 0xf2789246, 0x48700b27,
+    0x65b50066, 0x6665e920, 0xbc3485d2, 0xb04a80a1, 0x47041ea0, 0xc5e98194, 0xd781cf30, 0x1b7ee5bd,
+    0x009e7ffc, 0x683449ae, 0x3781cb8a, 0x9ebc39f3, 0x007caf2e, 0x396f26e6, 0x694aa468, 0xa0527a3e,
+    0x5409b33d, 0x8cda43fd, 0xcffb3b34, 0x461d8dee, 0x0c8a5dc4, 0xad4de85a, 0x6d748f1c, 0x0cd05915,
+    0x213f7a57, 0x3690bcbc, 0x53cc8bbb, 0x842ec0e6, 0x11014a6f, 0x85275ffc, 0x164c66ca, 0xb3bb09fd,
+    0x22a10b76, 0x6cd19da8, 0xb6a01ef2, 0x5dd56fa2, 0x3c6fc3e6, 0x5b27e271, 0x632a07b7, 0xe4b85f07,
+    0xbf91428e, 0x670fb252, 0x5df96f9f, 0x891abd81, 0x9be7ab66, 0x8202fe6b, 0x20701d60, 0x724b1162,
+    0x4d30cdd4, 0xe41766e8, 0x92a8c5b3, 0x9284b899, 0xf2b3b853, 0xaa6f4019, 0xe63e7bb4, 0x68fef129,
+    0xa96faf22, 0x8ef17f5d, 0xa75a1182, 0x541843a3, 0x589638c3, 0xc00c992c, 0xedcf9b22, 0x1cb22614,
+    0x62b7e919, 0xa2f2a474, 0xcb7f40ce, 0xf66cc2ee, 0x622eaa9a, 0x8b0e4bba, 0x451df9ef, 0x968e26c3,
+    0x4af3c0db, 0x17e6120f, 0xaa8aed1e, 0x89e4227c, 0x2751fda8, 0xd0c7a816, 0x02eec9a2, 0x8a471c87,
+    0xf29237ec, 0x4398ccae, 0x3169af0f, 0x0712f76b, 0x1861c6b0, 0xfd4f792a, 0x2c0a279b, 0xa501faff,
+    0x2ee37ec4, 0x1bcd6a9f, 0x75cd8797, 0x6426ddef, 0xc20130ee, 0x96dbca0f, 0xd4342d39, 0x74973ec0,
+    0xc5a3f022, 0x9b64712a, 0xabad29a5, 0xf20f3654, 0x9fec1624, 0x38ada6d3, 0x730debe5, 0x5e0be8bf,
+    0x0f486f06, 0x5d58442b, 0xf2e8083d, 0x6eb2a721, 0x386385de, 0x4d74ec84, 0x6276bf2f, 0x602ee52f,
+    0x7a747788, 0xeb5265aa, 0x756bef49, 0x3fc65937, 0x1da962fd, 0xcf2b6273, 0x31403022, 0xb91c82f5,
+    0xacb96ff0, 0xfb773009, 0xc1925774, 0xdb454bb0, 0x968a3240, 0xc14b5104, 0x1ff05359, 0xcc2b1701,
+    0x57e345eb, 0xa515dd17, 0x4b2356b1, 0xfeb4fed4, 0x300af80e, 0x88d30646, 0xe6a80e8a, 0xfaa4791c,
+    0x8afd5c9e, 0x674a242a, 0x4832d2cd, 0xcd77db4b, 0x62767a99, 0x17f6bdca, 0x7b95d3f6, 0x9ab0e120,
+    0xbb82d3aa, 0xc061ea1e, 0x6ea5fe2a, 0x0eda5d98, 0x9a0c847f, 0x620fb6ce, 0x0869a8ae, 0xfc26f82b,
+    0x8d0aad72, 0x4c66cd1a, 0x4b51181c, 0xabcfb9cb, 0xaee24e72, 0x3d8c4635, 0x2fdcb547, 0xdcaeb645,
+    0xbe6a8ea1, 0x478b072f, 0xdf5a63e8, 0x628f3f6c, 0xe91a14e1, 0x2b50c024, 0xe2cd7256, 0xff5faad1,
+    0x15fea7ef, 0x68253f26, 0x98a7b4dc, 0xaac8b0be, 0xe2c41312, 0x69a822eb, 0xed2d8b34, 0x1d939748,
+    0x21b1c294, 0x84cce43e, 0x1daa3250, 0x1c3369e4, 0xeadf55db, 0x39c33e40, 0x71af27de, 0x437e7e72,
+    0x46c8cb2e, 0xa0d620f8, 0x2e95850c, 0x0861ebfb, 0x3210df42, 0xce09e381, 0x50ee39ce, 0x53fa50ca,
+    0xd227d98f, 0xad46a5e1, 0x401f4c49, 0x38bb7db5, 0x1d2039d8, 0xecbfa3fa, 0xc5d65343, 0x2366a849,
+    0x69ba4b75, 0x806466b0, 0xf7225fa4, 0x7c0886ca, 0xd67b4bf4, 0x1cd67af8, 0xa8894e77, 0x2960b112,
+    0xd8dfc9d5, 0x3f721de7, 0x25f606b2, 0x5169b09d, 0xd6cc7330, 0x2f2110c6, 0xc3d34399, 0xb1bf5c35,
+    0xe69ae97f, 0xe2f54a50, 0xf03724ed, 0x4664ff77, 0x2dca66d0, 0x57e28aff, 0xe8b68690, 0x34393a47,
+    0xdc8c4907, 0xcf0dd959, 0xb9cae175, 0x0cd5f51c, 0xe3c4284b, 0xb0020c12, 0xdaade424, 0x1b648b43,
+    0xdfdebbd0, 0xa3f5718b, 0xef2669df, 0x0b01d881, 0x830d8c9b, 0x0f7cf7ae, 0x5db7b63e, 0x2f74f8b9,
+    0x48840451, 0x38f67997, 0xde20a920, 0xadd55090, 0x9372487c, 0x8e5a7213, 0x1a38dd3a, 0x12b22846,
+    0x0686ea00, 0x73422ae6, 0xe36d6dbd, 0x78aa3903, 0x8cbd4057, 0x0bd4aeb5, 0xcd2921b7, 0x36604265,
+    0xa4829f0a, 0x600ca5af, 0x8266c5b5, 0xa0104cf3, 0x97d385fc, 0x1e3341a9, 0x3d37fae6, 0xb74dd198,
+    0x44e32dde, 0x5f133893, 0x349b6794, 0xa16c400a, 0x99dfcbae, 0xb58d1f8d, 0x21c30fb3, 0xd9f23d57,
+    0xbf307fce, 0x2a5eb7f8, 0xedf4346e, 0xb442fe58, 0xffe9b768, 0xdb40b819, 0xd8727bc5, 0x91dc9cde,
+    0xc0cc235b, 0x252f152f, 0x2b6759b6, 0x57be7435, 0xebf9f0f4, 0xb1fc5861, 0x61da2367, 0x76ffbb08,
+    0xbec79ee2, 0xead16751, 0x73d07b7a, 0xc1f4272b, 0xadb4d961, 0xaa08fd7a, 0x3bea8411, 0xdcdc51d7,
+    0x400211e7, 0x3694889d, 0x5d0b046d, 0x9bde190d, 0x4083f25f, 0x9c8fc809, 0xa2bc7e61, 0x01d4145e,
+    0xbbfebed5, 0x746c5c54, 0x43d4db36, 0x5290b851, 0x20127a7d, 0x1b59421e, 0x09aec83c, 0xcd6eeb10,
+    0x1289d57c, 0xa3b3e960, 0xa866728d, 0xaee865a4, 0x1718678d, 0x4a128ce0, 0x94ee350d, 0x450a626d,
+    0x353babb4, 0x2d448924, 0xad13951a, 0x23de0a5f, 0xca016c8f, 0x3d098ce8, 0x6a6d5556, 0x43993b50,
+    0x513e41f6, 0x8d9ea835, 0x28e302dd, 0x33fd0b5e, 0x86400197, 0x0abe08dc, 0xdd263b0f, 0x36ddb956,
+    0x336d4da0, 0xe2a7965f, 0x66e642cf, 0xafb20b94, 0xd900ac8f, 0x716a5f97, 0x0abda70d, 0x3b8c2299,
+    0xf084f140, 0x5760fce2, 0x355cd0ea, 0x0e59d1de, 0xff5c591d, 0xcdeca873, 0xfa2a7fe2, 0x5047bd96,
+    0xa0eb3584, 0x4fab3275, 0xa801a87f, 0x4b25016d, 0xad5efa2d, 0x2bcfa61d, 0x830a0d88, 0x385805cf,
+    0x1e210f89, 0x83a62da0, 0x9d9db22d, 0x514d718f, 0x1913fcfe, 0x0f4d6655, 0xfd3e5ae8, 0x31765dbb,
+    0x8022e302, 0x8e958557, 0x32ac89ef, 0x43d61600, 0x59faa026, 0x63861282, 0x1e1dabff, 0x29574116,
+    0xed60924a, 0x5a6118d0, 0xc33da6cb, 0xc9bf9e8f, 0x3e9e25d7, 0x695fbd0e, 0xb615f9dc, 0x5b170ad7,
+    0x57fe8f8b, 0x1dd42105, 0xaa9efd89, 0xc34046bb, 0xd4af34c5, 0x8347e21f, 0xb2f35c3c, 0x25dac073,
+    0x7c3fdfab, 0x139ba682, 0x348289d9, 0x2493e11f, 0xaf82a65b, 0x2ce028a6, 0xe8ac990e, 0xc2cbdf05,
+    0x3256cef2, 0x297e296c, 0x8c5da2ba, 0xa2716d07, 0x18576172, 0x47faee51, 0xc91e2524, 0x4e5291fd,
+    0x4dbd7574, 0x98b4bca8, 0x32847008, 0x18b40556, 0xa7a3c910, 0x4f4a292a, 0x6dbc4d72, 0xaa892fd4,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000037942\
+                         75180128377091639574036764685364535950857523710002444946112771297432041422848 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a,
+    0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e7, 0x859d0664,
+    0x00000000,
+    0x859eaef1, 0x29773737, 0x4dba0815, 0x6273ee1e, 0x0d531fbe, 0x641a0b30, 0x694b34c3, 0x5af657f2,
+    0x3a9ac2d3, 0xee8f4c96, 0xe19081dc, 0x57342ac4, 0x336f2963, 0xb5b7714b, 0x3e15b51f, 0x01713433,
+    0xfe5807da, 0x6d03b2fa, 0x43fa481f, 0x6d73c531, 0xea1831fd, 0x7624e8bf, 0xdfc9b2ef, 0x2cfacf79,
+    0xb1cd9ecf, 0x34bffa16, 0xf5be183f, 0xf7bc7213, 0xaaf35a50, 0xab4fa3fb, 0x22458518, 0xb46e3106,
+    0x2e427311, 0xbd06cef4, 0xa0ca7d62, 0xd5159ff6, 0x3388b0f9, 0x8cbd10f9, 0x3d115c50, 0x2284fa3c,
+    0xdd3cbcbe, 0x57962c59, 0x9dd01311, 0x07600811, 0xe9bf955a, 0x5584298f, 0x3617a8b6, 0xde72811d,
+    0x5550d3a5, 0xe5ed0541, 0x6fbceedc, 0x51d54be1, 0x556e8732, 0xfb16a416, 0x8085012f, 0x56eeb439,
+    0xf8ce775b, 0x0bfd83c3, 0x5a849bf5, 0x11b348e9, 0x97835e64, 0x118ae03d, 0x764f969a, 0xc91b7228,
+    0xd43b730a, 0xb8be6980, 0x30fe1c9b, 0xb5191898, 0x3dcc0e81, 0x24cef574, 0x499f47f5, 0x32388bf1,
+    0xf1e1accc, 0xbe71f976, 0xc172ddb4, 0xa5fffd81, 0xc225cb04, 0x092583ee, 0x5a48c170, 0x304d3f45,
+    0x0cf898a0, 0xb2f64f93, 0x6ee3d969, 0xffa6406e, 0xc7720853, 0x4a16e1c6, 0x5baf56f0, 0x0e25bf0e,
+    0xe66d8c43, 0xcb32ac30, 0x56a36cbb, 0x54f03af4, 0x2655d5db, 0x5ff28eb0, 0x48d614e4, 0x87cab7f0,
+    0x94934f87, 0x7d376559, 0x4b6161c5, 0x3716dcf3, 0x574ede25, 0xe771ead9, 0xa81a57f6, 0x1774ce58,
+    0xa7594eb2, 0xbab4a670, 0xa544a480, 0x24490700, 0x7164eefe, 0xa7d9219f, 0x8f736d97, 0x146beeb6,
+    0x69bd76c5, 0xc3f6608d, 0xdbfc846a, 0x8eeaca6e, 0x6db3fd8d, 0x5a5f5c63, 0x82afc543, 0x403d6364,
+    0x69676de7, 0x77b22bf6, 0x9ac17701, 0x92e66efb, 0xb65ecbd7, 0xddf5023e, 0xe9d7008a, 0xdc361727,
+    0x2b9efc74, 0x75c2deac, 0xef195df1, 0x6067a798, 0x7e115875, 0x54508cc3, 0xb4176cf3, 0xd8c36bcf,
+    0x671edcf5, 0xb5c6a44e, 0xc9deb5c5, 0x1386b173, 0xedeb70b4, 0x9f88404b, 0x90887a56, 0x14e34504,
+    0xb851a382, 0x953f6919, 0x96eea309, 0x7ccbe007, 0xf0e6570b, 0xc2dcd665, 0x541434f3, 0xd218ec59,
+    0xe322b98f, 0x0e8a7e9c, 0x47651952, 0xc7fc2250, 0xc05e600b, 0x33ea5b4c, 0x54c50afe, 0x84435a92,
+    0xbc982bc3, 0x6128b3f3, 0xe91915be, 0x9c0abff8, 0x7644e683, 0xd512f022, 0x4138af60, 0x4f70238f,
+    0x0a7251fe, 0xbc328024, 0x6e5bc389, 0x9333f424, 0xae0a50ac, 0xf275f7b1, 0x7a13b993, 0x4e28f8a6,
+    0x1ccdc71c, 0x4855cbd1, 0xfa6bbb92, 0x6a27b23d, 0x1e6b338d, 0xaa96ea99, 0x018b0fe5, 0x56876a48,
+    0x5597a5c2, 0xab7333cb, 0xb3aacc15, 0x224bb009, 0x7e51a324, 0xda076d9d, 0xf73c2c75, 0x944dda28,
+    0x936aeadd, 0x9215c1ff, 0x1897fe07, 0xd81e0741, 0x9528f2b8, 0xfb1c4e37, 0x493a4602, 0x0211f1ca,
+    0x27bab8a4, 0x4d687ac2, 0x1d6bc216, 0x8a664b27, 0xc49560a8, 0xb61c3ad1, 0xa82cfde8, 0xbbacf1df,
+    0x8cd7cbdb, 0x300ea8d8, 0xecf4a0d7, 0xcb3ef69a, 0xbc2f6320, 0x3191a911, 0x030d8108, 0xbf19b556,
+    0x22fb3362, 0x96a10cfc, 0xf0e62c36, 0xe3d7d66c, 0xb8e447e6, 0x22c54a20, 0x68199ba9, 0xcb5b6745,
+    0xfe3ee916, 0x73bbb02d, 0x4ff8bf3f, 0x33c3663b, 0x7bd6a9d1, 0x33d8faba, 0xbe96f3a2, 0xa32f725c,
+    0x4c181e42, 0xdbc70318, 0x6abb953c, 0xf30c0e92, 0x50cdabc5, 0xd5fd37aa, 0xcc43074f, 0x784bf010,
+    0x6ce618ef, 0xec747c07, 0x80fb2d18, 0x9b985ca9, 0xe19fcff1, 0xf23cf33f, 0x0e76ee72, 0x0a4050e6,
+    0xf523d931, 0x22f0cf22, 0x9df11be8, 0xe5c7bd08, 0xc5f504e1, 0x621be31f, 0x9e9147c1, 0xd3d0bc52,
+    0x6b0608e0, 0x47cfd30d, 0x094fa04e, 0xfa143ba8, 0x85e5450a, 0x3eb2bab5, 0x5dd22f67, 0x829f3ec7,
+    0xe54f568e, 0x8729d116, 0x5b39c396, 0xbc31ac1b, 0xcfabfbfc, 0xc843025c, 0x67ea9b50, 0x27e50ffc,
+    0xe6ec1a17, 0x3306d8ad, 0x90829403, 0x9790c62e, 0x3ef1d08f, 0x91073c29, 0x8aa6c0a7, 0xddde0fcb,
+    0xf88bada1, 0xf3a19e42, 0xd8d3c678, 0x7b48f965, 0x18610291, 0x41511f2f, 0xee6fe236, 0x6032eedf,
+    0xedc28d5f, 0x29d83af1, 0xcf559f1f, 0x9a3c963c, 0xe2da73cb, 0xa1f96548, 0xeb112efd, 0x68a3590e,
+    0xdfcc5a25, 0xfc605def, 0xb6c9ce71, 0x358977e7, 0xe31771b3, 0x33fab49e, 0xa37f82f6, 0x38908d57,
+    0x0e6d38fd, 0x0345d1f7, 0x4e7491df, 0xadbbc784, 0x43bd1529, 0xb11d86bf, 0xe3b1b726, 0x4dd2f26f,
+    0xc6895b27, 0xffec3b58, 0x7286ffd5, 0x5014335e, 0x445d181b, 0x7c3df1dd, 0x817e69f7, 0x1988f8cf,
+    0x3112744d, 0x7f58cfa2, 0xbcdcffbc, 0xd54a597c, 0x6c11e937, 0x7c621bb1, 0x8c688cf1, 0x0d691602,
+    0xdb2451fb, 0x73d24a10, 0xd42c4213, 0x4c5d2996, 0x5f4bdb01, 0x066c73bb, 0xf4eca57c, 0xfdbfb7e8,
+    0xe3a052ef, 0x515cd0aa, 0x624b4fb7, 0x719459ea, 0x8e27a46e, 0xc289ba1d, 0xc9ba8651, 0x430fc245,
+    0xdb258362, 0x815febe1, 0x7f13b25c, 0xd4639c11, 0xaf27c963, 0x178671e0, 0x1ab929f9, 0x35373d66,
+    0x0dc96dc8, 0xc6a1f99c, 0x593dec33, 0xa6dbf33f, 0x97878b1a, 0x2125d03a, 0x7c268d50, 0x13ae3da4,
+    0x42eb52fa, 0x693c180d, 0x4f7b0393, 0xfdbdf3f4, 0x2a96c090, 0xa392881d, 0x7fe98029, 0x99b02b04,
+    0xdbb5cdcc, 0x11680169, 0x6a09cb9f, 0x6bc08dd3, 0xacbaedbc, 0x44b5b1c9, 0x46f8ea7a, 0xa96f89cd,
+    0x00ede1d1, 0x1df5a9e8, 0x930e9dbe, 0x271c07a4, 0xe81ad8d3, 0xd1bfd001, 0xc0ae0f8c, 0x93150f3e,
+    0x50a9491b, 0x45ec64ea, 0x95e83b24, 0xa8c07347, 0x12ec0b88, 0x7e604c2a, 0xfcc70710, 0x4fe5bd5f,
+    0x25940240, 0xba704402, 0xb6a206b0, 0x5838bd6f, 0x73ad666a, 0xfd337740, 0x3e0f64ff, 0x72edd474,
+    0xbbb89442, 0x80aaa967, 0x8f5dda38, 0x071a385c, 0xdd318e54, 0x3139c7a1, 0xce636ec2, 0x04c039cd,
+    0x4dff0134, 0x9c76afa1, 0x7dfe585b, 0xb9bae40b, 0xb11e6a7e, 0x9eb8375f, 0xd4c62896, 0x09394fab,
+    0xdaf7be2c, 0x385a120d, 0xbc573818, 0x9e2ebcf9, 0xc5e47796, 0x2e5f9fef, 0x2ba0e81b, 0x5746519a,
+    0xdba8a41b, 0xb025efe2, 0xc2a53e8f, 0x7016ab69, 0x598d2a6c, 0xdc996ac9, 0xae4bdb0b, 0xf238d873,
+    0xa13a0b6a, 0xd50ceece, 0x48be33ed, 0x2758e634, 0x9e2a2889, 0x672a1f46, 0x860dffac, 0x5e6df551,
+    0xe00b3d3a, 0xacdd19cd, 0x05527e06, 0x66611f57, 0x8a1d1573, 0x1d06010e, 0xf8405102, 0x79592cd2,
+    0x49f8ad4b, 0x5758b41d, 0x4e932d20, 0xcca593ce, 0x13cf8a86, 0x07b158e5, 0xb03c87db, 0xff31bb56,
+    0xae43bd47, 0x78519be5, 0xc5443849, 0x85a9ac5d, 0xb660c3c3, 0x92ad6818, 0xfe0dc67d, 0x827efa9c,
+    0xd1030b84, 0xfa8a1e47, 0x32e1e8d8, 0xd98beba6, 0x7115d201, 0x9b7489e9, 0xfb664422, 0xe5c58019,
+    0x3ce49810, 0xb0f2fff6, 0x5396f9f9, 0x29a0905e, 0xc332fe12, 0x1b3f2ad6, 0x5d3449f3, 0x6b7bb7f5,
+    0x5195acd5, 0x2f864915, 0x786a4ad4, 0x192b0dfd, 0x0f367992, 0x26fd3650, 0x36340bf5, 0x2235aab8,
+    0xd51be54f, 0xedb5c5de, 0x789d6e60, 0xf4e9dc1d, 0xa0d1a857, 0xc6b5b0ec, 0xda75600a, 0xf525df27,
+    0x2f5e0579, 0x6bd41ae3, 0xaa8efa95, 0x2b7d5b63, 0x29a01f8d, 0xadb0f224, 0xe52c102c, 0xaf251af0,
+    0x54eb377d, 0x1f9ab91e, 0x898d4206, 0x378f7fa6, 0xee44d21d, 0xcb5edd21, 0x0551bbed, 0x0b476578,
+    0x9844422a, 0xbe5af33b, 0x2920bf8f, 0xac4cc995, 0x5752e77c, 0x66261d0a, 0x04342215, 0x5cf24491,
+    0x006feaae, 0x43a6b411, 0xdee2af58, 0x9af4a3ed, 0x8811a1fb, 0x4a9b3e27, 0xb0afbd9f, 0xc374c099,
+    0x29dfcfd7, 0x1b22d4aa, 0xc15fd05d, 0xfb65cda9, 0xdacebac9, 0xd2e2a37b, 0xe5091d9c, 0xb2741b5c,
+    0x1d535dc6, 0x207da5ad, 0x8150d0ba, 0xde0e2ed4, 0xde80befb, 0xb11590a4, 0x131c33a1, 0x51412598,
+    0x0d6907d1, 0xb25ef4d2, 0x400b9753, 0x27cbbdc7, 0xabb6ba71, 0xc21988d2, 0x958d5e83, 0xa23c8e76,
+    0x214c8504, 0xe4b15344, 0x801e87f0, 0x27147e10, 0x876482d0, 0xffed043d, 0x67949720, 0x1d46bd04,
+    0xf56787d9, 0x8d6ef69b, 0xd009ac56, 0x6812ddc0, 0x139dada2, 0xa7b94693, 0x3d40d4aa, 0x58a2dc4f,
+    0x5c739448, 0x05b74601, 0x2be39a51, 0xf64b80c6, 0xc91b8455, 0x5413994a, 0x3b9f849b, 0x682a14ec,
+    0xef35881e, 0x6fcd7e94, 0x08b3418c, 0x9aa72005, 0xab2649e7, 0xfd477a88, 0xfdea4dbe, 0x7eb07915,
+    0x7e620eda, 0x281a3f78, 0x6de8e604, 0xc7fbe2c3, 0x8266d0f2, 0x76176bc6, 0x7d004fa5, 0x33ce8bb8,
+    0xb2d04640, 0x61cd9337, 0x566e312e, 0xcca43971, 0x5a2a5bae, 0x720a3557, 0xea83f757, 0x21eb2830,
+    0x9d6888d7, 0x4d639811, 0x1b1a06f6, 0x74f6a65a, 0x6d19d524, 0x10dab4ff, 0x9458ad29, 0x95abce16,
+    0x7298f311, 0x0aff3e45, 0x48800fdf, 0xd351d699, 0xc0902aa5, 0xbc49eaa2, 0x3b79202f, 0x9c2d09fd,
+    0x910a738f, 0x6473ad64, 0xf21e986c, 0x446ce7a7, 0x1df6bae1, 0xd4d1be87, 0xf5195893, 0xf21e6eb1,
+    0x999d8861, 0xfe2b6351, 0xbeb37d59, 0x6a8b2987, 0xae278b79, 0xccd8c0c4, 0x48f7a398, 0x9dd68e9d,
+    0xc9e317fe, 0x0d4c0da0, 0x22799648, 0x36e27138, 0x0f4b1742, 0x54dcf213, 0x57f1e102, 0xac667f0a,
+    0xc397bffa, 0x3df8072b, 0x1a2ea9d6, 0xa77cff3e, 0xc0982f70, 0xf1e084ed, 0x70e17f4b, 0xc33ee679,
+    0xedc6a3f7, 0xa8349c46, 0xbebb99c5, 0x0d5ba4df, 0x5394058a, 0x8c293e48, 0x0d25965b, 0xa089d76b,
+    0x0acd7d03, 0x99e179a3, 0x71ea3ed4, 0xb77f58e0, 0xb42e0ae3, 0xc23fc43a, 0x0168c539, 0x39eb4c22,
+    0xf3ed7b9b, 0xe5c39aa5, 0xad3e54f9, 0x509d3e41, 0xe3140d94, 0x7720d5e6, 0x300ffcd5, 0x10ae8b26,
+    0x4f978f64, 0x19e1de7b, 0x9efbdfeb, 0xaa19dc5e, 0x719600c9, 0x31fdf9f5, 0xc88f7bcd, 0x20334cad,
+    0x0f44321c, 0x6bd7cfc5, 0xa132d9fb, 0x9c18a6f8, 0xb03568c4, 0xb88b4f13, 0x0ada690b, 0x796c0bff,
+    0x8830239c, 0x03eda392, 0x8c358b8c, 0x9333fd78, 0x4e623872, 0xcc653196, 0xd5c9700a, 0xefe0222b,
+    0xa4d26ab5, 0x68fabef5, 0xa23ca4b6, 0xa7042cad, 0x5d5070ef, 0xd5abfaba, 0xaa550b11, 0xfdd274ea,
+    0x9eb22a5b, 0xf70710df, 0x01964692, 0x39889449, 0xb8f9bfa1, 0x7f286464, 0xedc5852d, 0x1c2ea4f8,
+    0x645d0a50, 0x50a403b0, 0x1a5dc33d, 0x7990032f, 0x16d29cd4, 0x75024361, 0x9f523188, 0x29ce36a8,
+    0xc5dac353, 0x69fc54e1, 0x77e09ef5, 0xd92eb5ae, 0xbc05f175, 0x1690797d, 0x0dcc8213, 0xc5ddb4a7,
+    0x21186603, 0x67d547ad, 0x837f43c6, 0xf756416e, 0x91f05f7a, 0x4fec692e, 0x909c8f1e, 0xc25f7725,
+    0x3253ff51, 0x2443885d, 0xe274cc37, 0xbd9f764a, 0x06ccf06f, 0x09acb7c7, 0x7db68024, 0xca24836c,
+    0xfd7452ab, 0x05a4836c, 0x23b9bc22, 0x881ed420, 0x8832ce41, 0x87cd6038, 0xf701f370, 0xd5e0e6da,
+    0xa22118a8, 0x64606069, 0x84dfd889, 0x9e347ab6, 0x6f74627f, 0xec7e886c, 0xc8dec3eb, 0xbc3a899c,
+    0x78ea7dc9, 0x179c7918, 0x8413ad89, 0x42bc2987, 0x84a80785, 0x3a85a291, 0x3802abaf, 0x7b45ad72,
+    0xf94f9a3b, 0x0921772e, 0xec80f9bb, 0x33cd1506, 0x959541fd, 0x5e9fecc1, 0x5c702dea, 0x79181d33,
+    0xb79999aa, 0xbe6742a1, 0xb273a53f, 0x7e703cfd, 0xb8e10633, 0xd8cda0be, 0xab82cf51, 0x5b2635e8,
+    0x3032edca, 0xffd4b4ec, 0x70296a37, 0x9f7d339e, 0x0f4e7ea7, 0xbc59e7f6, 0x9476590a, 0x2bec9b47,
+    0x27d2f8b8, 0xe1501739, 0x7590f41e, 0xd920313c, 0x29b38c91, 0x7f84410c, 0x496654f1, 0x6a17e932,
+    0x5a68a344, 0x26f0ed59, 0x837b0e1a, 0x287e3c5c, 0x099118aa, 0x386d52d7, 0x3cfbb4b4, 0x79708b01,
+    0xc6a76eb6, 0xd30bb9bd, 0x1c6ac29e, 0x04b6d52d, 0x4785bd02, 0x60703e87, 0x8652c8be, 0x6535f62a,
+    0x9fd453f6, 0x896a6bb4, 0x2a9d697d, 0xebe29bb0, 0x8e1c745a, 0xfde883e2, 0x5b41b795, 0xd0adb6fc,
+    0x04d54e60, 0x5c657fcc, 0xc2f683d3, 0x7e7c7a61, 0xd6505b1e, 0x56a9319f, 0x57a2d475, 0x61054f1a,
+    0xb8be2aae, 0xf015b916, 0x701a0186, 0x531c4050, 0x6743a7a2, 0xbcc27143, 0xb2864ebf, 0x67a59961,
+    0xffe082cf, 0xd0e38021, 0x8013d91d, 0x2bd47f95, 0xf32fd7cc, 0x63d37cc4, 0x17989106, 0x342b5d8e,
+    0xa924e9ba, 0xc26f70ae, 0xc616bf87, 0x53f7d2fe, 0xeb9f5ef2, 0xab8f88d2, 0xf54eb101, 0x2b906c29,
+    0xd032f6f0, 0x3a0481db, 0xfb413dfa, 0x3a2acb79, 0xfdd4bc62, 0xdefbe98c, 0xfe03a3bf, 0xec19a19d,
+    0x6aa4eb71, 0x2935599f, 0xd466985c, 0x28b5ca25, 0x48b91a98, 0x243a1c72, 0xc29719d6, 0xfc83e80e,
+    0xc2c49119, 0x95dc5c12, 0x09d5e735, 0x8b1a2561, 0x04d2f055, 0xe589b833, 0x85fa0dd0, 0x5dde4e07,
+    0xda6758fd, 0x1692be8d, 0x11169e15, 0x68ed334a, 0x4edd05c3, 0xf414ac3f, 0x47a369bd, 0xc85031b3,
+    0x9ae80cee, 0xfb7e40af, 0x2aa6874f, 0x7862b12d, 0x0a602c40, 0xc595c588, 0x53922ec0, 0xc9632df2,
+    0x07d69130, 0x4e2b1394, 0x1378c8b8, 0x637aa720, 0x3414c189, 0xa1f94450, 0x31a9921e, 0xd6085e7c,
+    0xb729e6eb, 0xf57b3b70, 0x3fa557e6, 0xe24548a7, 0xfd772231, 0xdb4f910f, 0x746e6831, 0xfd0ca1d0,
+    0x62f47d73, 0x7fc8c0af, 0x0e5c0170, 0x88279ac8, 0x9184e23d, 0xdd1b3511, 0xc3c7e019, 0x892b2f1f,
+    0x5525d8ca, 0x112bffa8, 0xb4642a41, 0xbba0fcb6, 0xbb3edf5e, 0x0854d31b, 0xa82e92e1, 0x53705ba6,
+    0xb51640fb, 0x5e584a40, 0x0a43f1cd, 0x7de750b3, 0xeaadc60f, 0x05d80bf3, 0x5ed4fe36, 0xe591894d,
+    0xb1dda000, 0x9d4032c1, 0xdb8f445e, 0xfc825734, 0xc0c798c6, 0x02ceb01c, 0xb0aae84c, 0x20bab262,
+    0x7081bb00, 0xc8005d3d, 0x9a7e8214, 0x2351afe2, 0xcf60a407, 0x6d11ed34, 0x697b7959, 0x81a0bd4f,
+    0xd3ff1633, 0x41cf7b10, 0x3c686dd8, 0x69dd1154, 0x6c56e2f8, 0xf33f1f95, 0xf10277e0, 0xee896273,
+    0x3dd63773, 0x7f4a39e4, 0xff54c97e, 0xe67d021b, 0xfa7b36fb, 0xe84c166c, 0x2f213a13, 0x5f15a592,
+    0x507ac007, 0x5daee737, 0xe442fb09, 0x9ab9b960, 0x464e9902, 0xbaa01992, 0x8ffa555c, 0xd2be2a82,
+    0x9c807878, 0xb265db9d, 0x88e45b48, 0xbc276725, 0x729a2a92, 0x207c6e76, 0xde9c7564, 0x329f8de0,
+    0x1996b1e4, 0x904773a1, 0x324d01cd, 0x243c6194, 0xd873c95d, 0x105f3851, 0xade7b7fc, 0x0aa755b7,
+    0xeec6af0a, 0x1a7b29a4, 0x85a57b62, 0x7f4edeb4, 0x47a40597, 0x657f4620, 0x0020e0fc, 0x71593ef7,
+    0x403364fc, 0xc76d6fa4, 0xa15ac40f, 0xcfc312d5, 0xef64b6a2, 0xf8f5d256, 0x4f548e40, 0x3d7a5822,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000018971\
+                         37590064188545819787018382342682267975428761855001222473056385648716020711424 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d,
+    0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404173, 0xc2ce8331,
+    0x00000000,
+    0xb8f3533e, 0x9fa8a879, 0x4e8db429, 0x2bf0af93, 0xc7caa650, 0xadd9363f, 0xfcf8d7d4, 0x21ed0ffb,
+    0xffcc7d2b, 0x6fa7c410, 0x4079bff2, 0x3e7171e3, 0x41483865, 0x76874d1f, 0x7e087c3b, 0x1c01ae75,
+    0xbb5246c8, 0x9dd50dd3, 0xb1f35f40, 0xa6a2bdd4, 0x1f766f60, 0xdece1ae8, 0xba5bf900, 0x4830ce6b,
+    0xc0b95244, 0x37a06a41, 0xff657a0b, 0xb0f1bfb5, 0x01bc39c8, 0x46eb965f, 0x76df890d, 0x8010bd06,
+    0xdb14e008, 0x8cf50aaa, 0xf5d62b25, 0xe81b329c, 0x19ea7797, 0x1042b2c9, 0xbdb537a5, 0xea7b47c0,
+    0x909cca86, 0x6855f0b4, 0xac4869c2, 0xe0916f3e, 0x18715552, 0xc6c805b6, 0x7ed87789, 0x2ed5f879,
+    0x04c6f725, 0xe19649fb, 0x137fbd7d, 0x9caee8ad, 0x89b4158e, 0x784540c1, 0x484e690a, 0xf4566d94,
+    0x4b863827, 0xbe0e6135, 0x68f8a576, 0x8c18bcd8, 0x22b7d772, 0x9e621e39, 0x38d8009b, 0xae292a47,
+    0x0c00089c, 0x96b700b8, 0x711a13e7, 0x58e0fc46, 0x7d0396bb, 0x080cb80c, 0xb04cb933, 0x263a8ee1,
+    0xbd420216, 0xbd91d312, 0xf53584e7, 0xe08a78a8, 0x194714b1, 0x1a3da0ed, 0x19000615, 0x47608db5,
+    0x2885b2d9, 0x516ffdf6, 0xdbf73744, 0x460edcc0, 0x16ff0e4e, 0xdb3fc394, 0x6bafb61a, 0xc6030cba,
+    0x4fc9c7d1, 0xde3e7f4a, 0xe6a15f04, 0x5c288fa0, 0x3e945e22, 0xc5304f46, 0x0fd36a73, 0xa493e120,
+    0xf6363c44, 0xfe93154e, 0xeed23fa8, 0x0ab86071, 0x96c8b31e, 0x9b2e02e2, 0x51aa06d1, 0x762337e5,
+    0x07d51534, 0x9bc2217f, 0xb77b11b0, 0xcdf5b947, 0xc6781916, 0x356e8459, 0x48d35b12, 0xa6b10b7a,
+    0x70c92496, 0x6e6b5f66, 0x9f49749b, 0x4b51c27c, 0xe76dd615, 0x6e741b62, 0x3d447b60, 0x172d4845,
+    0x6c861af5, 0xcd074731, 0x7120f606, 0x08aa77aa, 0x5fa629f2, 0xabf6c1d6, 0x47c14fce, 0x427b5876,
+    0x7336fc14, 0xf031abdd, 0x1f4af903, 0x5cd693d8, 0x32b3d090, 0xc9d67c65, 0xc0b494fb, 0x457b4500,
+    0xc91f992b, 0xbd79fe06, 0xf66d80d1, 0x826edb2c, 0x257111c5, 0x811f638e, 0x41603495, 0xdf830e6d,
+    0x0e56c59c, 0x00b6fd5b, 0x9c1d55aa, 0x977ab52f, 0x91ce9504, 0x32ba0a4d, 0x2c634899, 0x3919b839,
+    0xdfc9a11c, 0xeab7ce72, 0xd6833aac, 0x4edf9632, 0xeb349c78, 0x148651a7, 0x192ff1dc, 0xb2fcd9df,
+    0x95617b92, 0x8895ae6d, 0x45e0a339, 0xe51b8f06, 0xac24ec09, 0xf400d9c7, 0x4199639a, 0x997a4f26,
+    0x9e398807, 0xf72fdf06, 0xf6a1756a, 0x93e1e477, 0x846d0d83, 0xd7cbdfcd, 0x2bf86d54, 0x396bce6f,
+    0x71e6be7a, 0xb8fab758, 0x49f7befc, 0xe7b590df, 0x71cdcaf2, 0xebc40262, 0x0f472732, 0xba4c404d,
+    0xf4e228d6, 0xeaeaa21b, 0x9f07af3d, 0x39f80b5f, 0xe8dd98a2, 0x6a8d7bc7, 0xb9a0ba9d, 0x2c5d521d,
+    0xd07f9bef, 0x9ff2a0a8, 0x3c848f10, 0xc65561fd, 0x423cb145, 0xfe3f1004, 0x8fad459d, 0xbd7b99f9,
+    0x0fee6ba2, 0x37f551a4, 0xa7f9798c, 0x2dde9d31, 0x85921508, 0xc07659c0, 0x5ebab98d, 0xd59978a2,
+    0x23422b5c, 0xa1124c9c, 0x87632c8f, 0xa4da2a5c, 0x48da8799, 0x58cefd98, 0xc6c29ed7, 0xada698c7,
+    0x7772cf4e, 0x2d465333, 0x4d7c236b, 0xd5f0d016, 0x688f24ea, 0x082ed6d6, 0x953cc17c, 0x6c578d3a,
+    0x0e59ca1b, 0x18eac634, 0x932414f1, 0xfdcf5541, 0x896f707c, 0xc84c087b, 0x9a7de144, 0xb825ec32,
+    0x2a554bc2, 0x768575e5, 0xe285cf49, 0x8528f3f6, 0x96530b43, 0x010ae59c, 0x8cffc724, 0x7a964179,
+    0x04ad7c78, 0x1f277e7c, 0x01d0fa4e, 0xbf75710d, 0xbc7784d2, 0x444b80e6, 0x521f128f, 0xaa6d2a63,
+    0xcd6af762, 0x3d491044, 0xb1288693, 0x94a46b6c, 0xef32c7ee, 0x898ad6bf, 0x45350d86, 0x8a0603eb,
+    0x29b42b35, 0x6ea38e6f, 0xbd71155f, 0x0d1a012e, 0x28e2e78f, 0xbcf1a18f, 0x0740b6e8, 0x70f144aa,
+    0x95d47db0, 0xf1998973, 0x39b2da0b, 0xcfd97b16, 0x51892ac5, 0xf4443abf, 0x68b9cf7f, 0x31a7069f,
+    0x8a0f3219, 0x5e78489b, 0xc42394c9, 0x724003ac, 0x019112d3, 0xeb012c64, 0x98ffb141, 0xed82b922,
+    0x8e629063, 0xe90a5138, 0xf7ea1157, 0x66f3ba08, 0xe6c30f94, 0xd72bb2d4, 0xf48356b4, 0x2398b82a,
+    0x885d0645, 0x69d85090, 0x3913270f, 0x6a6ad222, 0x1aa41137, 0xd42b93af, 0x1325acb5, 0xdabfd1bb,
+    0x92ab7a1d, 0x98ad18c7, 0x3732e06b, 0x75625ccf, 0x10f036a5, 0xbf51222f, 0x805cdf60, 0x74c6c112,
+    0xf50370c2, 0xc4599545, 0xeb386574, 0x1c37ec14, 0x7b9b61ff, 0xc00065c8, 0xc44fe87e, 0x3cbe2825,
+    0x0bb0bde5, 0x80a31e54, 0x7f321c1a, 0xef6ec3f9, 0x477bad8b, 0x7d9c8c21, 0x9c28f036, 0xfbefdae3,
+    0x57dd82fc, 0xf06e6a8e, 0xadcd0c61, 0xae3f73f9, 0x6e761e94, 0xeb7547af, 0x80a7f5c2, 0xfeaae6b9,
+    0xab063b88, 0xd130e6ce, 0x49e44283, 0x738c5a91, 0x22e0c853, 0xf9ccbb7c, 0xa3c37594, 0x90f02a96,
+    0x96564cd8, 0xdf15f62e, 0x054d6fa9, 0x888a4b4c, 0xb6ddc306, 0xf3b26d38, 0x557c326e, 0xd031184b,
+    0xebd1b51f, 0xdde602ef, 0x74c2374d, 0xd1d5f3c4, 0x546724d7, 0xeeaea788, 0x823f7374, 0xc28eead1,
+    0xdd2de496, 0x8ada417e, 0x467703fb, 0xd72d87e1, 0xb1d49f19, 0x402d295e, 0x4ee0b4dc, 0xcf061b6a,
+    0xe5a67c9e, 0x962defea, 0xaa954307, 0x3ee2fd51, 0x8012b808, 0x9e75cdb4, 0x2a70d470, 0xc90ef4fd,
+    0x1cb67163, 0x3162d90f, 0xa3402794, 0x4308cb0f, 0xc6f30dce, 0x9b0b4f5e, 0xec8c5dd3, 0x84971264,
+    0xd93b6637, 0xc09dda5c, 0xb46ae79f, 0x1a20fbb5, 0x820b6c9e, 0x24d958cc, 0x813ab58b, 0xff2d9614,
+    0x4c7abc15, 0x17a8cf20, 0x11de88e2, 0xcfddafee, 0x10429fdf, 0x606c410c, 0xfed76ba8, 0x141797a0,
+    0x88bca262, 0xa5b73ec0, 0x97b713a0, 0xc75907a3, 0x9af004ae, 0xa101771a, 0xfc900235, 0xab6bc344,
+    0xe8dda003, 0x5a17e680, 0x9c963148, 0x2d2c3d7a, 0x71c6fb99, 0xd6364f41, 0x2619d6af, 0xdae4801d,
+    0xbf214c79, 0x377c906f, 0x7f3ac165, 0xf8870363, 0x873fd029, 0x8de4f466, 0xa4e95342, 0xa66593ea,
+    0x549b6adf, 0x4cda50ab, 0xf8e37720, 0x4ed539dc, 0xb172f1e8, 0xf13ce579, 0x3de817c5, 0x8947b7d6,
+    0x6f6e13aa, 0xb2ff4277, 0xc95e022b, 0x1dbc8b67, 0x10e889be, 0x496773c3, 0x52f22c8d, 0x8f299bce,
+    0xbfde7ffe, 0x5868e255, 0xfc6f3dda, 0x4c685515, 0x08d8a392, 0xd8232b37, 0xa45bd165, 0x4b50dd4e,
+    0xfce42a0c, 0x4d61a887, 0x319b9a4c, 0xbe17c761, 0xba27a083, 0xdc37e1c3, 0x1cd23302, 0x2acd69c5,
+    0x8c2da838, 0x1b88ff26, 0xc5abde0b, 0xafd4ad81, 0x1e9363b4, 0x9c7c9577, 0xe34090eb, 0x4df579dc,
+    0xe0caf39c, 0x1b2621c1, 0xd893e8c3, 0x9d88acec, 0x0dfb8519, 0x9e1f7e47, 0x02731cef, 0xd7e16cf0,
+    0xa6bdf95a, 0x84d32236, 0xeb0bc500, 0x8c6f398a, 0xfe832785, 0xbc114c53, 0xf9013196, 0xbd60a03c,
+    0xf72ff1d3, 0x6a471cc0, 0xd93666cd, 0x1ad1e259, 0x64ea18a1, 0xbcd1dac6, 0x5bafd4da, 0x9bd91d92,
+    0xfb4cd2af, 0x16a82190, 0x35068fb7, 0xc9067f7c, 0xd3e13249, 0xc63c1e2b, 0x782c2391, 0x76fcad8f,
+    0xac19f85a, 0x3e7174f8, 0x82cd1d2f, 0x743f82a9, 0xf2fa452c, 0x102b5d14, 0xddd12730, 0x15fc0dbe,
+    0xb63073fa, 0x850d09da, 0x3ace3cd6, 0x0125ce11, 0x9bdc9abd, 0x99f07082, 0x9e3878b0, 0x01cf493f,
+    0x63299f40, 0x9c3613e5, 0xe8d68110, 0x96da96d4, 0x1781b7cc, 0x867a1b15, 0xc9d1da2f, 0xee7ec715,
+    0x7db5be27, 0xad391741, 0x298dcd27, 0x2d73a629, 0x9fd8373c, 0xf50c235d, 0xf4a355f6, 0x4f852287,
+    0xeb88ca84, 0xa89e2a12, 0xb552b9f0, 0x4e76fe24, 0xcb28e187, 0x2a3ee3a3, 0xd6154bf2, 0x4c9933df,
+    0x940681f4, 0x0e4c53be, 0x832b872e, 0x5e2f05ec, 0xc82352c2, 0xcbd58825, 0xf3fc7c07, 0x8c529596,
+    0x992777eb, 0x6a20d7fe, 0x5c7395cd, 0xe7304556, 0x19133db8, 0x1b4e7721, 0x27cc7a05, 0x08bb2945,
+    0x5d89a3a7, 0xfeaef85a, 0x9756df43, 0x11616167, 0xe108112f, 0xa7b16ff5, 0x6d8cd348, 0x39cf189d,
+    0x463683fa, 0x090b27a6, 0x7b2f77a1, 0xa2bf5262, 0x7f3a8f8e, 0x6c9bd02f, 0x4bf9f243, 0xc8701845,
+    0x6909ccc2, 0x58d1e801, 0x89209248, 0x2c470558, 0x06be8e80, 0x3878ea33, 0x5ab482b6, 0xa0bdda8d,
+    0x5a83932c, 0x7482a0a8, 0xc587943f, 0x61b2e2ec, 0x1ed74fbe, 0x510aaf17, 0xcf37f1a1, 0x79a97434,
+    0x19111bfb, 0x112860ca, 0x891d06af, 0x0f11e796, 0x19a93fb7, 0x55e69f82, 0x7870d570, 0x5c2a1910,
+    0xa9b6cd37, 0x683345a6, 0x777c2f08, 0x051b4909, 0xdb329875, 0xf95b78ae, 0x7aa505cd, 0xc158dd1e,
+    0xfc10ac88, 0xb5e60e1a, 0xb7b05b5f, 0x44a42d9d, 0xa09b2d83, 0xd4c511ec, 0xf239396a, 0xf47f4ea7,
+    0xabc6a9e3, 0xa08a83f2, 0xf630eb27, 0x4b708310, 0xdd917ced, 0xdb8cca4d, 0x3cb95438, 0x97468421,
+    0x0ff9a425, 0x417619bc, 0xc680d15e, 0xbb6d1ea6, 0xacb595bc, 0x52b61591, 0xa30dd966, 0xd00554fe,
+    0x8a538199, 0x246d820b, 0x327dbe2f, 0xed1aa592, 0xe1136dec, 0x49a00b57, 0xc7fe85d3, 0x7179cf45,
+    0x0a860736, 0xc278a2f7, 0x317e53db, 0x3f9193da, 0x585cd100, 0x1503d52a, 0x6e6769a0, 0x0180ce82,
+    0x26ebfbaf, 0x5cb228f8, 0x5f8a00dd, 0x562dbe06, 0xd8959606, 0xe011d886, 0x7f2c51a2, 0xf40621a1,
+    0xb4b585c6, 0x7660af2a, 0xe870d8cd, 0xab18570e, 0x6ec6fa24, 0xd1fcacd6, 0xce3b119c, 0xfed18502,
+    0xd304cb81, 0x59fa88ca, 0xb943e3d3, 0xd3d3c4c0, 0x2147f9e2, 0x09b9dc41, 0x0217951d, 0x77752843,
+    0xa474f8f3, 0xd3986682, 0x1c6bdef9, 0xd31aa10a, 0x5a2a5714, 0xc3161985, 0x2bfb57d2, 0x7afc78bd,
+    0x9c70a875, 0x94c54c33, 0x1be5f550, 0x4d97f5c0, 0x4b529a6f, 0xbb49dc58, 0xf962aab4, 0xcdf24546,
+    0x11aae53a, 0x197821a6, 0xdffb651c, 0x22d0c473, 0x3faceb3f, 0xfbb8a83c, 0x359112d5, 0xede597ed,
+    0xe34a3bde, 0xa47a4f90, 0x7ffbf7b6, 0xad6c51bb, 0x8b96f448, 0x94d58f29, 0x4d28b6c0, 0x058c69d9,
+    0x83f17f34, 0x4578db68, 0xa9c7ec58, 0x0408df58, 0xe72f45ce, 0x032b0a8b, 0xe306ba1d, 0x77d397a4,
+    0x10357e9e, 0x84232051, 0xe7cfa217, 0x209a11c6, 0x63f5af5b, 0xa1bf0c8a, 0xb84dd637, 0xe0fd9cd6,
+    0xd7002466, 0xe813404d, 0x39331f18, 0xff3f3026, 0x2587dcb9, 0x1acbd9bb, 0x4e7f1ce4, 0x7e3248c3,
+    0xe9328e32, 0x1275793e, 0xda55fe94, 0x66fdcc65, 0x579b783b, 0xba21e719, 0x44c1c79c, 0x3db4b5c2,
+    0xbb938b6c, 0xfb9f88c7, 0x762d622e, 0x0bf61b71, 0xcc1047d2, 0xf773549d, 0xbbd2fc1a, 0xcc1d263c,
+    0x5ec6d66f, 0xe0847b28, 0xb59b16c5, 0x73dba940, 0x595525b8, 0x597688f9, 0xeb0c3440, 0x2ef3ecdb,
+    0x78b038b1, 0x79207851, 0x9bcc4a0f, 0xf88834e7, 0x2a3a25db, 0x0eb095ef, 0xab7c09d0, 0x3e18d698,
+    0xe6b42dc2, 0x673a6518, 0x14657d09, 0xc646fa5f, 0x7cdbc265, 0xbdfef8fb, 0x5b3b69ab, 0xff39503f,
+    0xf2391500, 0x9cf4cb7c, 0x9a028029, 0xd52c37e2, 0x8bfa7f78, 0x360be358, 0xd095a9da, 0xedd63899,
+    0xdf2a6d33, 0xca492e59, 0x90532840, 0xa95de469, 0xad349743, 0xd393b1fb, 0x39353b4c, 0xb4ed87ca,
+    0xd18e734f, 0x358f5f77, 0x974b797d, 0x47778e15, 0xecba43e0, 0x1c2c3321, 0xda0ffe9d, 0xec9fbf1d,
+    0x3238823d, 0x0745d49f, 0xcb5b4704, 0x962a41dc, 0xe281ee56, 0xee72b46f, 0x3421a423, 0x07884dfd,
+    0xadbfe784, 0x960d97c6, 0xdae08368, 0x5c811a85, 0xd37db81c, 0xd86f7cef, 0x9d90c91c, 0xb041b09d,
+    0xb9ebed99, 0x8842714d, 0x14e482bc, 0xeb443ecc, 0xeef245ed, 0x6ec06af7, 0x48a676e9, 0xfe6b3852,
+    0xe2948369, 0x0e036fa8, 0xaae89a99, 0x5f25ce9a, 0xab49d347, 0x070774c2, 0x282d04c1, 0xaf78fff8,
+    0x5ac01519, 0x68d20e69, 0xd53e7ab2, 0xb696361a, 0x9d41a1bb, 0x88c9c8a9, 0xdcf59965, 0x8d6f4f4a,
+    0xb99fbd17, 0x503e96dc, 0xfac33545, 0x01765b63, 0x5cc752d2, 0x9ac78ae6, 0xe899a80c, 0x8d2f65d9,
+    0x56504822, 0xd3c82e38, 0x0e1d3e0b, 0xa6777a4a, 0x6c8df4f1, 0x1ca8a686, 0xbe43e00f, 0x4318b703,
+    0x50ce31c3, 0x8760c362, 0xf7276f7f, 0x6c5b0fc1, 0x619eae1f, 0x8a275e6e, 0x2ee6a8ef, 0x9dabd208,
+    0x45c04120, 0xd317f7e2, 0x16f97be1, 0x497349e8, 0x029e8e58, 0x012a6006, 0x61dcfd1d, 0x6067182a,
+    0xee4329d3, 0xd3cf13e3, 0x581b7c63, 0xfd919d5c, 0x11862bd3, 0x32a5c25e, 0x38d2d1dd, 0xba0173a3,
+    0xcfbce291, 0x0bfcffab, 0x8a63d84d, 0x8309359a, 0x2161aafa, 0x9ab6a144, 0x9a52313e, 0x0e8674cc,
+    0xe3eb0f42, 0x248191c0, 0x344bd54e, 0x40dfee60, 0xe2afa120, 0xb97898ee, 0x12fb5221, 0xc0835dec,
+    0xa844cc3b, 0xb0a894ec, 0x9a3b2957, 0x603a5850, 0x722aece8, 0x6bb8fd3e, 0x96620706, 0x73674e8d,
+    0x1d33f4f5, 0xe7b216de, 0x92a7489a, 0x88298fad, 0x1c2b6963, 0x49ffafc5, 0x5d013b15, 0xebd25802,
+    0x88f4487f, 0x9b111140, 0x58fccb9e, 0x49d9b314, 0x9f79ce7e, 0x9c9afc52, 0x5448280f, 0x9d5eb61c,
+    0x800b9872, 0x8648b606, 0xb59e4146, 0xd62cd28a, 0xec24c0bb, 0x7fa6172c, 0xd1305a6e, 0x5e32e4f8,
+    0x8fe8f61a, 0x9e4b6c3b, 0x01b1c203, 0xe86d2594, 0x534b7cbf, 0xee0b91d3, 0xa7c5b79c, 0xf29ba26b,
+    0x7725e75b, 0x76b63000, 0xd67b7415, 0xe44ade78, 0xbcd02712, 0xf5794ac6, 0xb770bf1c, 0xd8cf6c58,
+    0x6d5a7af3, 0x93eb633c, 0x85b7c429, 0x83cc2bf6, 0xf6a5d43c, 0xb37f3ce6, 0x8e404ff6, 0x811b2423,
+    0x8eedece7, 0x04c11057, 0x2785a6ce, 0xcf6b7244, 0xfef213ac, 0x25006a39, 0xdf89b8a3, 0xbdb7c428,
+    0x9244e06d, 0x0069aa96, 0x0ef9932f, 0x86b13469, 0xef81349b, 0xf8cb16ef, 0xce2e2adb, 0xca0f2ebc,
+    0x82febef1, 0xcfeeddbe, 0xf690629c, 0x9114f0d8, 0xcbfcbe7d, 0x6dbf7e51, 0xef13e922, 0x56c5bc52,
+    0x52ff8fa2, 0xc0e10585, 0x3d7c5a97, 0xb4bb85ac, 0x3e6171b6, 0xe8c966e9, 0xb6b78354, 0x5a24bda3,
+    0x3149607d, 0xf0510260, 0x2d6af6b2, 0x7cf8a03d, 0x51f5116d, 0x68fa21ca, 0x6e9cf925, 0xa5f9f280,
+    0x991a2346, 0x3b606488, 0x04bcd6ac, 0xb1f64eaf, 0x4cf06693, 0xe7eccf92, 0xa69c7ffa, 0x2e9f74ff,
+    0x323ae59c, 0x6987a713, 0x59544636, 0x8644d256, 0x5bcd6ba9, 0x20d8159d, 0x9cf35fc2, 0x726c8849,
+    0x6041e3c1, 0xf82cf0f9, 0x3c27f32e, 0xb2616cbc, 0xd7dbcf12, 0x4263abd6, 0xa8417709, 0x11bc0623,
+    0xb981d6ad, 0x8b5e4bd4, 0x00460e85, 0x428935f3, 0x4e98a12b, 0x8515af75, 0x310a5f58, 0xfaf9131f,
+    0x408b4a3b, 0x7a2aa3b7, 0x10ae818f, 0xd6cf5613, 0x29a09e5b, 0xcffcb321, 0xd60c8510, 0x45261ca2,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000009485\
+                         68795032094272909893509191171341133987714380927500611236528192824358010355712 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526,
+    0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b9, 0xe1674198,
+    0x00000000,
+    0x99dccb74, 0x482db85b, 0xd8e335f3, 0x6bf8fa32, 0xcea0f092, 0xf366b6b9, 0xf31cb6d3, 0x6e166942,
+    0x61a1a5b7, 0xa600c710, 0x1076118f, 0x47815f7f, 0x3d2359e8, 0xd62664b9, 0x9eb76eb3, 0x58af2793,
+    0x5f319d6c, 0x85024b3e, 0xf6bd9ea1, 0xc33bc493, 0xb536f928, 0xab2a0022, 0xe4663b19, 0xf9a8b80b,
+    0xfc7aee5c, 0x91d9ac56, 0xb3f618e0, 0xe780684e, 0x665914f3, 0xe36efc9f, 0x474f7a23, 0x8d5cfeec,
+    0x6c834f31, 0x7c7939d7, 0xdae996a0, 0xcf85f0e5, 0x1c5fb935, 0x6036bea0, 0x0871bb24, 0x38e09379,
+    0x262dae83, 0x26a26da7, 0xe4ad7dff, 0x9e020063, 0xf02c597d, 0x85a54f76, 0x999196c4, 0xc3c18232,
+    0x14ed4fb0, 0xc70a79c2, 0xca16914c, 0x2ff491dc, 0xf5917f5d, 0x4c47dd89, 0x5e6ed0f1, 0xe76b3d4d,
+    0xaffe637c, 0xcfa5d8d3, 0x22a60663, 0xd8c353e8, 0xc0f093f8, 0xd2bc4cb1, 0x984eacda, 0x7c7ea23f,
+    0xb546d955, 0x8fcfe4a4, 0x238c26d4, 0x7c77b608, 0x0ed6419d, 0x4bfa4ac1, 0x5e7b1c0c, 0x1331ad8c,
+    0x1f2d924d, 0x9c1df467, 0xf4c3c9fb, 0x3360c2e3, 0x5600bb54, 0x40bcb9ab, 0x885ad092, 0x46e95522,
+    0x7b81077d, 0xaa120aed, 0x71ca6486, 0x2db4f8ec, 0x81b4db5f, 0x2f4b320d, 0x4c3f1b96, 0xa3ecaa39,
+    0xd59c1b8d, 0x2665221c, 0x75b1ff5c, 0xb21aa985, 0x388865ad, 0xc1232e5c, 0xffa67c6c, 0x6d57c082,
+    0xccded097, 0x8ce3e6b8, 0x9643fb9f, 0xdeb7055f, 0x7bff1536, 0xf204920b, 0xe6f993b7, 0x04c5250b,
+    0x1ad3c10b, 0xd7a3a303, 0xa89b80b0, 0x231a4d03, 0x7a128707, 0xa7354a96, 0xcac8d404, 0x940cbc87,
+    0x39e323b6, 0xd3d85156, 0xc9ecfcae, 0xcdac63d0, 0x0a9e0eab, 0xe3fb4b97, 0x59a94672, 0x8848415d,
+    0xc7b95ebc, 0xb2de4d32, 0xab40687f, 0x6af6fb7b, 0xbf77f71b, 0x92fd9a95, 0x43a2427f, 0x066fd968,
+    0x96f106cf, 0xd32384a6, 0xca78cd5e, 0x9b314c12, 0xbedde533, 0xd3f97c04, 0x78051fcf, 0x7b0e0710,
+    0x69e7450b, 0x10729a4e, 0x3ed7b1a8, 0x5f6d7f3f, 0x683ce5ce, 0x0557d485, 0x8508b674, 0x6053f8c9,
+    0x865c67a9, 0x95681249, 0x46737486, 0x37427a63, 0x881b4fed, 0x4692db13, 0x822fc6db, 0xa36858eb,
+    0x6c320719, 0x5538f06c, 0xa6bcd27c, 0x93abb785, 0xe76a790a, 0x470e0941, 0x76ccf211, 0xbb868ec7,
+    0xf5f80def, 0x11a61541, 0xebc20c44, 0xb1c1ba68, 0x567fcdaa, 0x6c37b5ac, 0x7380fe36, 0xeb6d0cbe,
+    0x3c59b4fc, 0xa42a2986, 0x2fad1e4c, 0x0d751eaa, 0x4e31c637, 0x9b3952cf, 0x023cf595, 0x993fd351,
+    0xd8d441a5, 0x8fb28e54, 0xd5fce6da, 0x389d6e77, 0x12337e34, 0x9bd7346f, 0x66659d5a, 0x077f42a3,
+    0xc072e961, 0xb7a34682, 0xe7025ac8, 0xcbbac43a, 0xf33142ab, 0x10016d72, 0xa287ab93, 0x45ffe8d0,
+    0xc7950397, 0x86492a1c, 0x8c76c2d9, 0x4717f557, 0x37c8d791, 0x7786ff4e, 0x44f40fcd, 0x5b688334,
+    0x45138a59, 0xa33be2a9, 0x744f5ed2, 0xebe0a91e, 0x3797f9a5, 0xc749569c, 0xcb3430d0, 0x50b831a0,
+    0x2c59ea5f, 0x0a582e46, 0x6dfd43d5, 0xbece3f34, 0xf4ccb391, 0x2921afd1, 0x1fe7fb70, 0xed8cf18c,
+    0x738126bc, 0xb39f4341, 0x5ac5f97b, 0x186a594a, 0xf9380014, 0xcf529472, 0x87267039, 0x2cae8c55,
+    0x9a4da804, 0xaf3f5301, 0xb05ba1eb, 0xb6e1baa3, 0x007f3ac8, 0x6cce2c7a, 0x7b98967a, 0x231f5b21,
+    0x2561039a, 0xe64a500a, 0xf1b7a152, 0x5b9f4495, 0x30a10756, 0x230cd5c1, 0x3a9fe557, 0x16d8ded1,
+    0xf6e59946, 0xfe975f21, 0xd6530070, 0x900c5a4d, 0xa98886ba, 0x2b358895, 0x13f643e9, 0x6d02c35b,
+    0x92cc0892, 0x73f73afb, 0xfcb7f760, 0x4ead24d6, 0x5dd3b6ec, 0xc1db3288, 0x633a9641, 0x8e5da4f7,
+    0x9d831fcc, 0x92fe2b19, 0xde85c315, 0xeb0d2f56, 0x05b1492d, 0x8fa272ca, 0x3dd05634, 0x7f61642d,
+    0x63d50b08, 0x2b099404, 0xd11a33f7, 0x760b30c0, 0x2149422d, 0x5f75a226, 0x4e2d6e9a, 0x00ba0155,
+    0xd9c464be, 0x64809ec5, 0x6c6de5d4, 0x162f15ab, 0xcf03e32a, 0xdeb9f3ca, 0xb4d80dee, 0xb69bd0db,
+    0x958ed7c5, 0xc804fb38, 0xce4a16ef, 0xdb4e48c4, 0x71471e70, 0x27cecafa, 0x4192fb2a, 0xf4f75f5c,
+    0x9060b644, 0xa74fb7d9, 0x69a5295f, 0xd100fa02, 0x3b0680aa, 0xf97478f8, 0x37f5ab4b, 0x5b584853,
+    0x63ebcf7a, 0xd84bf083, 0xfdde8623, 0x884624a3, 0x57448e5a, 0xe6e5220f, 0x7e0dea15, 0xe6cd91b2,
+    0xa8ab6c24, 0x681be110, 0xec391c98, 0xfa82ebe3, 0x3967ecc1, 0x391e6a09, 0x2fa9bb83, 0x44c04673,
+    0xa72c311d, 0x90855c2e, 0xa6992d29, 0x3a4147a5, 0x7672f822, 0x3cac192d, 0x8018e80a, 0xa814dcd5,
+    0xd12d50c9, 0x2181d2e3, 0x12817e20, 0x03ceda7f, 0x33e39690, 0x917c3ac4, 0x3978d35e, 0xfa371237,
+    0xc8a12956, 0x32c4fad1, 0xd44be3e0, 0x2f4d472b, 0xbbe08678, 0x81237ecb, 0x552950d7, 0x34a44c40,
+    0x104d7e06, 0xf13d530e, 0x82777aa9, 0x025e653a, 0x9c3afba4, 0x7c33628f, 0x1a75a5a0, 0x7c82d220,
+    0x8195e08b, 0xa874d315, 0x54256456, 0x4fa50f13, 0x2f1b57a8, 0xd385207d, 0x724b84dd, 0xb60f5495,
+    0x17c3beba, 0xe39d274c, 0xbb2717dc, 0xb8d4f4ea, 0x6fa21cb3, 0xb9d3380a, 0xb340e006, 0xc4e8b0cd,
+    0x8088d992, 0x76adead4, 0x96ced76e, 0xab4b8d93, 0x6e9a2e7e, 0x9dcbb2bf, 0xf085de3f, 0x56af9bcb,
+    0xfb2ea252, 0x91e8e8a3, 0x874fd8fe, 0xbe684042, 0xaf051293, 0xdcf76db5, 0xf82ea8c2, 0xebe31bce,
+    0xeb20a482, 0xcbc544f4, 0x76efa98f, 0x15c87129, 0x3959bf6e, 0xcedcabf0, 0x17066a93, 0x07eede31,
+    0x750dc5a5, 0x820cbc40, 0x66a4d90f, 0xeaf9768e, 0x81984f1e, 0xe731977c, 0xdaf29ca1, 0x6704368b,
+    0xef5c8c83, 0xe93431ec, 0xd42ff46e, 0x58498d8f, 0x17995cb0, 0x70af1927, 0xe8733a4e, 0x6326f5fa,
+    0x32800aac, 0x8edfaa57, 0x150dca97, 0xa460090d, 0x38a50bc7, 0xdb003be5, 0xad1db982, 0xfa9573a6,
+    0x83ba3d3e, 0x324b0d9b, 0x8c0be0de, 0x01b2c707, 0x0c36e395, 0xfe888b36, 0x39512756, 0x8e9484be,
+    0xd89e6be7, 0x60428c7c, 0xed1bc40f, 0x8724fd65, 0x7a94d353, 0xa0995b58, 0xd6db5acc, 0x1967ae6c,
+    0xaf140367, 0x368088b4, 0x3f7a6f29, 0x4e4efbea, 0xf84eae24, 0xfef887dd, 0x0754115d, 0x94deca28,
+    0xbd6a925a, 0x8e9e62e0, 0x5ac965d9, 0x7aeaa0b3, 0x2dffba35, 0xd8c60f86, 0x5df0c861, 0xb289a148,
+    0x88bf1780, 0x7e43fab0, 0x0f7f4f76, 0xcf124821, 0x849df351, 0xbc9526bc, 0x127edcca, 0x6fa059fb,
+    0x8e1fd9d7, 0xb21578ec, 0x0c678f39, 0xfda8e901, 0xd606a7bf, 0x0c8059dc, 0x89ca2937, 0x4e755949,
+    0x9cebdf5e, 0x3be4ff06, 0xfbcb8feb, 0x50780281, 0xb397ff29, 0xe24b2164, 0x1ed571f7, 0x71ccd154,
+    0x5170cfa1, 0x9275d2fe, 0x48fe6e3e, 0x09e2b1dc, 0x0e0beaaa, 0x27930234, 0xca8e397d, 0x24312ff9,
+    0x1e3e8b8f, 0x672ed427, 0xe1f6d94f, 0xf728b83d, 0x219541a4, 0x10c061f8, 0x04949de5, 0xfdd011aa,
+    0xfa39fed9, 0xfde1c8e1, 0x60e59edd, 0xce07a989, 0xc8a35113, 0x79b6110c, 0xf385ed12, 0x36450413,
+    0xd08b17cb, 0x8985103e, 0x9764c43c, 0x85b68abb, 0xa5177165, 0x3cb933be, 0xbe4bb1c6, 0xb4a36367,
+    0xc34abc12, 0xa8d6288d, 0x64838bc1, 0x1923b451, 0xd825f61b, 0x5ede6ebf, 0x6d5191e2, 0x506f9262,
+    0x0768b087, 0x2c6185d6, 0x65505a60, 0x52d1603e, 0xffd1fafb, 0xb9bfb4ee, 0xd08f6884, 0x7339491d,
+    0x69f00216, 0xc669fefb, 0x36c41146, 0xd05d623e, 0xdde06bd6, 0x1aedc0b7, 0xfd2de45f, 0x5191cbe9,
+    0x7e653e23, 0x1ccaa7ae, 0xddee2624, 0x419950da, 0x46444633, 0xa6686cf3, 0xd4e4762d, 0xaa0c1a01,
+    0xebf6a5aa, 0x1e34ff02, 0x50d78ac5, 0xd627d504, 0x6a73cb36, 0x5360616c, 0xcc472f20, 0xa8d3ffba,
+    0xce30aac6, 0xa3fed4d9, 0x9caed42f, 0x5de01820, 0xed333a6c, 0x5f94dfea, 0x82bc1ed3, 0xa8067751,
+    0x6f6e9bba, 0xd010eaf5, 0xb107e826, 0xf281c081, 0xcf13cf7e, 0xaa9e734b, 0xc8e71ab1, 0x57ef98ec,
+    0x68dfd0d7, 0x6cdc80d5, 0x93486f2d, 0x2a4ce2cb, 0x1402c678, 0xcf007247, 0xc6691e79, 0x1ab21968,
+    0xf2b0b039, 0x056f883b, 0x46a4af39, 0x9688ca17, 0xd48c4b6f, 0x8114669f, 0x0c570723, 0xedb1a47a,
+    0xe83a8330, 0x11473acf, 0x64990b1c, 0x12441e14, 0x573db404, 0x8286eb11, 0xfaf373bb, 0x85e71d81,
+    0x9b9f439c, 0x17511fb1, 0x21473015, 0x8ebc6e78, 0x5e12baad, 0x96f797c6, 0x0e06fab4, 0x843aea67,
+    0xc1ab4a71, 0x6316677b, 0x9dd3a129, 0x516cafa4, 0x55176746, 0xdde8861e, 0x808ccfff, 0xf27e0304,
+    0xac425611, 0xeae287ff, 0x5442ccd9, 0xe6bfffc2, 0x45a5bbba, 0x559025c1, 0xe483052a, 0x8328ac95,
+    0x313be08d, 0x52e5aaac, 0xebf04077, 0x30512879, 0x29231fff, 0xb5dfaf26, 0x2a98fcb7, 0x9f0994a7,
+    0xc7bcbd16, 0xcc55fccf, 0x5a57609f, 0x00afa7e5, 0x6f0a267c, 0x6eecbccb, 0x6b8efaff, 0x82756447,
+    0x52b1d875, 0xa22c6405, 0xc7baf89a, 0xc9074756, 0x9edd0ce7, 0x2802b0e5, 0xe01a1449, 0xff605618,
+    0x93be9371, 0xc8e129f8, 0x622d44db, 0xdffc1378, 0x645353ac, 0x95b7d1cb, 0xb4ef3528, 0xc629b7a4,
+    0x1a8f9d9e, 0x1e5892ab, 0x25b55c00, 0xbdabebab, 0xe6405adc, 0xc9983cf1, 0xa60a80bd, 0x086b65c0,
+    0xd290cd58, 0x0a1c4471, 0x60d28069, 0xabbf104d, 0x33316584, 0x8a9935b0, 0x977a3778, 0xf23b8b71,
+    0x580970bf, 0xebe226af, 0x46dada9d, 0xfec83925, 0x3166fab5, 0x1578660e, 0x161fa813, 0x4df4c52c,
+    0x6e9a772e, 0xf9aef9c7, 0x95fe27a3, 0xcbd4e8dd, 0x4777aeeb, 0xfbf29839, 0x85624651, 0xeed78346,
+    0xf5221a6b, 0x44d0e7c5, 0xed8d8908, 0x8e451e88, 0x9383870a, 0xa327f9bf, 0x62a50908, 0x63195fe8,
+    0xdafa4b5b, 0xa8cd69bf, 0x6ce27005, 0xe749f888, 0x46153180, 0x14fb50e8, 0x06ef84b6, 0x892657f3,
+    0x7f992cc5, 0x66124c76, 0x82ed65ed, 0x482d8669, 0x8995c65c, 0xd4c69893, 0x66050538, 0xbb986831,
+    0x3f68afef, 0x7bdd49e4, 0x9cafd159, 0xd0eb987c, 0x151642e7, 0x8743671f, 0x4e458adc, 0x5c6b9def,
+    0x5300855c, 0x3d0b9cef, 0x5165c6ef, 0x41e7468f, 0x1ead516d, 0x54643cbe, 0xaf503afa, 0x389fe227,
+    0x8712b407, 0xf7c50fd7, 0xd4ae327f, 0x48f4536e, 0xe18e516a, 0xe9b1dbeb, 0x60098c5f, 0xeee1d2a6,
+    0xf7631986, 0xa5f1d22d, 0xef6b3ebc, 0xf42a1777, 0xdc2fa207, 0xa1026944, 0x6a14298c, 0xb25ea88e,
+    0x6b8b04d0, 0x9caab652, 0x94431225, 0xd3685700, 0xc46fbbd2, 0xef25a04e, 0x50984702, 0x07521e59,
+    0xde7fc316, 0x9914725e, 0x28eb51aa, 0x648c778b, 0xb342e7f3, 0x0f7832a0, 0x02c8ea63, 0x25bf754a,
+    0x5a42abe1, 0x8e61cd4a, 0xa5e21276, 0x34713480, 0x3d5fc154, 0x4b96936c, 0x8182f47d, 0x7cb6e9d7,
+    0xecda5425, 0xef39c9cd, 0x398e6dd9, 0xd2f60a9f, 0xa6644b0d, 0x83dab78f, 0x1385b729, 0x6f8bb55b,
+    0x08d47ed0, 0x1497e4ba, 0x67783648, 0x7f9abb1d, 0xfc5fce54, 0xa438728f, 0x9ec3a490, 0xc5de9a60,
+    0x97f0a9f0, 0x9e4e0e21, 0x428746a7, 0x2d92f526, 0xc08e05a2, 0xf2bea1bd, 0x3f39ccfe, 0x5b24fe88,
+    0x910fcec0, 0xdd52d94e, 0xf92e0c04, 0xfacda7e9, 0xa8014d42, 0xf32793a5, 0x04582cf8, 0x272293ad,
+    0x71fbbe05, 0x188ff3b4, 0x631b53cd, 0x03940bea, 0x645101e2, 0xb3b9b001, 0x7b35e103, 0x7562e5d0,
+    0x50596327, 0x2467f8dc, 0x62423b74, 0xf47bea1d, 0x227055fe, 0x2eb8cb30, 0x4e43c112, 0xaf19a6a4,
+    0x4b689024, 0xffe3eb2c, 0xf4546039, 0x98d8c53f, 0x88071d49, 0x4dfbb2ba, 0xfaaf8edb, 0x03810cd0,
+    0x5bb9e0c0, 0xf2a06f8c, 0x8a59f436, 0x278a5c5e, 0xee806044, 0xd468772a, 0xe86c277c, 0x7cc8a464,
+    0x4f43d396, 0xafe5d12f, 0x6581f0b5, 0xba366414, 0xe6c98bf1, 0xd34515db, 0x3deac134, 0xbf9f099e,
+    0xcb205800, 0x4e92f4e3, 0x43f43994, 0x446bba4a, 0x9336f371, 0xfa264fc4, 0x64484ac3, 0x0d9d2dff,
+    0x8ed73d1c, 0x56b47aa1, 0x49fe5c5a, 0x02a4197a, 0x632ee878, 0xae9d7d4a, 0xfb94b754, 0x5cbbc41c,
+    0xe688fece, 0xaa41e470, 0xb85e3abf, 0x3f2918a2, 0x05c5698e, 0xb01bb100, 0xcc1ed490, 0x9f65bf74,
+    0x3015b183, 0x5a368bfb, 0x6220fdba, 0x6f40369b, 0xb05d09ff, 0xafc1ae07, 0xbc9cd7ed, 0x6aa27f51,
+    0x117e028e, 0xeef6bc61, 0x7f42bf81, 0x7aac332e, 0x9347bb6c, 0xf59bc917, 0x8d57b334, 0x5676e267,
+    0x6d9a4eb4, 0x6ae7b8da, 0x797631db, 0x81404f87, 0xce2e1951, 0xca73adb3, 0xf9eb5f0a, 0xf0bf37ab,
+    0x68b603a3, 0xc92b6b7f, 0x365ec8c7, 0xf87e4d64, 0x522f7ea3, 0xf716b2a3, 0x7e984bea, 0x361e9317,
+    0x8b6a830f, 0x4c6dd26a, 0x578c00c5, 0x2fe6b7c6, 0xfcc933ee, 0xb92e36e9, 0xe4986a78, 0x3a358232,
+    0x70558215, 0x73263123, 0xf21d406b, 0x0baa8770, 0x16cb4699, 0xa291dc5f, 0x1458c205, 0x1f3d1f4e,
+    0xf0871816, 0x32f71097, 0xae12cf62, 0x809addd7, 0x5bec528a, 0x1e0658bf, 0xf9903423, 0x005c03b4,
+    0x460f27ed, 0x742a6b6e, 0xa5cbda86, 0x5d082f49, 0xb20aaf6c, 0x5ade50d2, 0xb06036f4, 0x580b1203,
+    0x1fcfb6b4, 0x31474d67, 0x018c18b4, 0x6c92400a, 0xbcdc07c1, 0xba33ba05, 0x3b356a7c, 0x3bbb48fe,
+    0xf4471121, 0x7aa16a65, 0xccf3e89c, 0x6401aed6, 0x2a0d14ae, 0xddbd51e6, 0x2e602d16, 0x1548929f,
+    0x6e2c81f7, 0x1d5fae32, 0x275f0c20, 0x263448c7, 0x8c48bbb0, 0x85cfa7c1, 0xe52c6707, 0xdaa55756,
+    0x2ca306d7, 0x9be78f46, 0xa9f89cbc, 0xf0b14acc, 0xfaf27cf8, 0x42ecbc99, 0x2e85fc7f, 0x6518aef5,
+    0xc90a8895, 0xf3ae2814, 0xf47f1e06, 0x8cb9b1fd, 0x2d078b3f, 0xabfa4411, 0x3e371a7e, 0x297f017b,
+    0x6601f751, 0x86a3c909, 0x5a1ef0d5, 0x1d485fa9, 0x4918dbb6, 0x925242fd, 0x8b8613de, 0x22d667a1,
+    0xa321106a, 0x8e537081, 0xcbd73224, 0x97fe3e03, 0xc1271729, 0xe3ca5885, 0xcaee9af2, 0x314957de,
+    0x3a60a035, 0x71d8e0d1, 0x86f439e9, 0x4bf604c9, 0x7391bdac, 0x0540d1ef, 0xeb81c4b9, 0x85eb72e1,
+    0xd52c2348, 0xcc4483a9, 0x7f3d70b9, 0x0f488072, 0xf00bcd10, 0x7e66240e, 0x05b0a262, 0x3912eb83,
+    0xcda2d7e7, 0xb31ec337, 0x83ac5272, 0x6daaf9c1, 0x7be1b196, 0x9f968fab, 0x0ae945d4, 0x957b99e3,
+    0xd275bc46, 0x6231a46c, 0x070fb733, 0xc588f94b, 0x400a043b, 0x90c8943e, 0x79662ea6, 0xa6bad046,
+    0x03878056, 0x81b3641a, 0xff08a8e3, 0x2e49415a, 0x98d1ae0a, 0x1ca3b364, 0xba51ca2e, 0x27808511,
+    0xcc500fe4, 0x25f17fa9, 0x60138798, 0x51e1b2ec, 0x5210422a, 0x5356569a, 0x74148e03, 0x39284811,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000004742\
+                         84397516047136454946754595585670566993857190463750305618264096412179005177856 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93,
+    0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105c, 0xf0b3a0cb,
+    0x00000000,
+    0xc67752a4, 0x6d0447b6, 0xacbd7457, 0x12a79482, 0xef2c2598, 0x5956285d, 0x6bf22a62, 0xacecacc9,
+    0xccb9c127, 0x4d61f0fe, 0xa96d2dc2, 0xc1bf9c33, 0xed325568, 0x8c29f501, 0xf2c21408, 0x3c3ee30a,
+    0x9731a2c6, 0x037f2658, 0xf76716d4, 0x8522b701, 0x243983af, 0x322c73cd, 0x3253659e, 0xf789aa11,
+    0x076b9923, 0xe974f83a, 0x994c0847, 0x678cdbb5, 0xe4e4ae9a, 0xec9233b8, 0x2bc8c268, 0x6a5603f7,
+    0x3a1202e1, 0xb253f6df, 0xa27b09f3, 0x0ab68753, 0x9675e3ac, 0xc87552e6, 0x47e47eab, 0x567e6c15,
+    0xeae22f23, 0x8ac92b57, 0xf8b5a1ce, 0x2ffb0c73, 0x8ef3f6b1, 0x60c5dfa1, 0xb94b0fb3, 0xfc69aa69,
+    0x887cdd3d, 0x9f551e68, 0x6aae3cff, 0xdea1de60, 0xe70f60da, 0xd9e40a18, 0x6f22699a, 0x7f170cc7,
+    0x7622fb7b, 0xe96fded3, 0x95cb6e4f, 0x3ee03299, 0x99479eb9, 0x5b8ed83e, 0xe5933f67, 0x19cba9e9,
+    0x42d482d1, 0x470fedf3, 0x59751c44, 0x1412f2a9, 0x572d5216, 0x80fa4295, 0x3cd25b44, 0xc6f2fdcd,
+    0x6cca8562, 0x6a0a6599, 0xb8815182, 0x68693e4f, 0x0e2f166b, 0x11ec6a20, 0xb2bdd7a5, 0x6928e7db,
+    0xd914f9a4, 0x370d8159, 0x382cbfd9, 0x593c839d, 0x1de99c3c, 0x94f81636, 0xcffec61f, 0x2cedd707,
+    0xb16d3242, 0x83ff761d, 0x04458fec, 0xf38156b7, 0x8de1f9a4, 0x0e79d966, 0x057c4057, 0xea67a798,
+    0xb1c0823f, 0xaf0d9035, 0x96e155e9, 0x05b2fbb2, 0x33e594a9, 0x56a6dc79, 0x221f5c63, 0x2e2cfd21,
+    0x5090c2fd, 0xe3726415, 0x796c5268, 0x95a1c8d7, 0xf9d03049, 0xba8881ea, 0xaf54eba6, 0xe81e4cdc,
+    0x0f22b071, 0x55aa2997, 0x34bc7f6a, 0xa7aa8c28, 0xd386673f, 0xb5a4f6a0, 0x12d147a2, 0xab7e2e83,
+    0x4b7c5871, 0xd8802df9, 0x75c6c13e, 0x51c9a682, 0xed4836aa, 0xf4da9411, 0x013dd32c, 0x5c4b1d42,
+    0xc2815558, 0x7ee8a37e, 0x8b5ae60a, 0x9563d857, 0xa39c41e7, 0xf0047604, 0x6ca0b8ef, 0xd4b074b4,
+    0x7ea144a1, 0xcb2c1787, 0x2d5e43f5, 0x46299630, 0x00025bf5, 0x64e40a05, 0x6529e19c, 0x71fcf34a,
+    0x4c7fb7a2, 0xd055308d, 0x4744eb81, 0x33c99c88, 0xac73ea67, 0x322defbf, 0x5f6f1a91, 0xadd1ec50,
+    0xa63d4097, 0xc236fc82, 0xa548c109, 0xb0450829, 0x37f4ded5, 0xfcb5c7fd, 0x7be37c43, 0x9d770ee1,
+    0xd89ad858, 0x15d03cd9, 0x2e187f93, 0x5019f3f2, 0xe5087847, 0x3f127fe1, 0x258109d8, 0x87c02694,
+    0x26c18e15, 0x51166c42, 0x8172125c, 0x8290e15b, 0xec1bac25, 0x6b8ebd82, 0x7415e39c, 0xf657b058,
+    0xd43eccf9, 0xbeb3441e, 0xb5225950, 0x5420d395, 0x27e4c005, 0x7c3be9f3, 0x35b1034a, 0xd83cfd66,
+    0x311ec45d, 0xffb36c6e, 0x3d4af062, 0xc0568285, 0xb0472584, 0x5848d172, 0x3fc22b1d, 0x408a7fc6,
+    0x8f8d7859, 0xf408a5e6, 0x8e4e170f, 0xcdfa5e3e, 0x187e2b35, 0x1ac5fb7e, 0xb23dcf4c, 0x9ab9ccf1,
+    0x52726ba4, 0xe693dfa2, 0x4c06ce3d, 0xd7712ddc, 0x26608199, 0x57d3fd71, 0x03a9b0a3, 0xe12ff0c2,
+    0xca27e490, 0xf12eca2c, 0xd1325b04, 0xdb750210, 0x060dc80b, 0x7b4a151e, 0x676d877d, 0xb079232a,
+    0x7615f46b, 0x2b833840, 0x1be8ec18, 0x965e7f98, 0xf6a0ee52, 0xc310900f, 0x9870a2ca, 0xb26802c9,
+    0x2684f93a, 0x81210d22, 0x3032f794, 0xdda62b7c, 0x2680f7b0, 0xdbe788d7, 0x3afd5fe4, 0xca90a0d7,
+    0xf2e978dc, 0x2fcc77c0, 0x94d41442, 0x344995fb, 0x831b8df9, 0xf8573ab0, 0x4580a7db, 0x88a4c158,
+    0x3a47bc2e, 0x71849523, 0x69193d7d, 0x6e71cb86, 0x1ac4f979, 0xaf125162, 0x62402dcf, 0x15a9e08f,
+    0x0d57669f, 0xd4ce4ab2, 0x0ff78893, 0x007edb39, 0xe90f0713, 0x96303141, 0xb1916143, 0x4431858a,
+    0xea96bcfc, 0x0f811d81, 0x01809f83, 0xe9dda5f3, 0x7deba8da, 0xae1af644, 0x353d748e, 0x2e5c1bd6,
+    0x8814daeb, 0x4fa9005d, 0x8ce21479, 0xd9ede092, 0x25bd8000, 0xfc88a8a7, 0x2b67eb71, 0x32ee39c3,
+    0xe7cdaa7d, 0x42492137, 0x4c01bbc4, 0x15bdea09, 0xc31e9721, 0x49ef4190, 0x6f90ade9, 0x48f015db,
+    0x4464382f, 0x7b9cc30d, 0x5466f397, 0xeca809f2, 0x530cb838, 0x579375f1, 0xf9e25c5d, 0x71537a7a,
+    0x6be4fcfe, 0x7ead9d11, 0x11ed2937, 0x766d760d, 0xcbbc9873, 0xc88689bc, 0x967dbaf4, 0x2c51f1a2,
+    0x64660d07, 0xa2eab139, 0xc79d6bf4, 0x54bff0b4, 0x3fb71f64, 0x087a4e85, 0x1b694efd, 0xa64495fd,
+    0x4a2353e5, 0x2e3591d4, 0x5fcaf976, 0x07fa8f1c, 0x4c86a3fc, 0x84e0210f, 0xfd3a0104, 0xc177db2f,
+    0xdbc72a60, 0xcca709d4, 0x76f65282, 0xc0bb706d, 0x3b71c905, 0x395589d4, 0x4e0b6a1d, 0x459b77d8,
+    0x7fefb56c, 0x95964808, 0x3b105ef6, 0xa0b7d533, 0x38bda7ca, 0x6416e7fe, 0x4abe8a3a, 0xfe0c4d93,
+    0xb5be37f2, 0x15a48467, 0x95fd5349, 0xbc5b7132, 0x6e4c129b, 0xfda49873, 0xc630907c, 0xb9944cbf,
+    0x50fd18de, 0x694accb3, 0xf2bc4922, 0x79dcf544, 0xe846f38e, 0x686500de, 0xe99778a3, 0x94da8f8c,
+    0xa8f8aae8, 0xf9368f95, 0x0a2e6081, 0x41857707, 0x91cd1ca4, 0x5ef12eae, 0x240ef266, 0xda3f5c34,
+    0x9e4a9b9a, 0x7c366a87, 0x1d7a91e4, 0xcc6994a2, 0xeb751715, 0x89fadd1d, 0xe052b0bd, 0xd550ec86,
+    0x6ee7aeb4, 0x5f76a641, 0xb687e92d, 0x989613fa, 0x7fd81837, 0xbbdb7e37, 0xb1549675, 0x2a5fe660,
+    0xa4806546, 0xe2e3c367, 0x7dc3948d, 0x5377c063, 0x87b94c3c, 0x5d3b9184, 0x4f4a6683, 0x32bc36c9,
+    0x4cc427ba, 0x6d7b678d, 0xb45f6898, 0x5f364e43, 0xe9b8a87f, 0xfd0e1e6c, 0x4b1e2665, 0x908edabb,
+    0x9ce9f55e, 0xf3628fad, 0x97dd33e0, 0x4b2ae43e, 0xa7055c2a, 0x9faba4d9, 0x91eb9354, 0x0fddaab0,
+    0x512b0b9e, 0x7d3d908a, 0x538cf26d, 0xf8afee80, 0x96c82533, 0x78d1a545, 0x3304b9a3, 0x2ab1498b,
+    0xe3d096cc, 0xa596fb8e, 0x993364c4, 0x228f71f0, 0x85508258, 0x4f07d854, 0xe2ee215e, 0xb76529bc,
+    0x72f4cdb8, 0xcb3ac68c, 0xae04c258, 0x345967cc, 0x24432881, 0xa3b41489, 0x11c553bc, 0x11070240,
+    0xbe8fd060, 0x1df719a5, 0x6d12d6b6, 0x4210154d, 0x911fd6e7, 0x1856d5aa, 0x69e226c7, 0x5102ec90,
+    0x3548683e, 0xab1e2d27, 0xf7a199c6, 0x26008926, 0xcaf9ca10, 0x53918a0d, 0x42f63810, 0x21b1b28a,
+    0x834ce02c, 0x06d7035b, 0xd9ae3492, 0xd3569a5e, 0x01ce2c33, 0x8cbc11d8, 0x4ad40df0, 0xd99d7152,
+    0x1e4cf7dd, 0xc2e5f7f3, 0xb9d1a5c6, 0x32b90aea, 0x2e720f5b, 0x696a108c, 0xba5a8e79, 0x28ef13c1,
+    0xf80edf4d, 0xd30ecbe2, 0x5744a4d0, 0x08a85cb6, 0x75f4eb78, 0x59a9b299, 0xf38b936d, 0x472c79cd,
+    0xb70f3024, 0xf08a8fc9, 0xc17c87dc, 0x3248d45b, 0x5e551ac8, 0x566ebc5c, 0x1b0caabb, 0xe9b4d601,
+    0xdabe12a3, 0x7dcb07ac, 0x64992807, 0xf06d0258, 0x1714e1ce, 0xd3549e09, 0x18d9240d, 0xed3283a6,
+    0x31927a61, 0x0c6b2799, 0xf215b703, 0x3a1bac1d, 0x57abc8f5, 0xffd7fd73, 0x1a19b5cb, 0x3ab755da,
+    0xac5c26ae, 0x9186b0af, 0xec656b6a, 0x0b5296e6, 0x9db93325, 0xde099052, 0x8be8da88, 0xb240615d,
+    0x82341bb6, 0x9afee9ef, 0x345fab8f, 0x36eca86c, 0xf7e5acd1, 0x0194b225, 0x7196286e, 0xc9e9c4b7,
+    0xadf2b38c, 0x5390fd77, 0x563e5b21, 0xe77727e1, 0xcf00d2c9, 0xc95ca4ae, 0x039a2494, 0xebd456d6,
+    0x8db30358, 0xb3ac00ae, 0x1baae107, 0x60bde3ab, 0x0fc550ac, 0xdd6b5824, 0xa089806e, 0xeb1cd1b3,
+    0xf25bedd6, 0x3c98d171, 0x5864fd90, 0x87e1239a, 0x0aa6750c, 0x18b92866, 0x1d747695, 0xd58ee515,
+    0x9b9d7314, 0x032b7259, 0x9ad7f146, 0xcd31d2ec, 0x3a603ab2, 0xa92942d7, 0x4081804e, 0xf3dc1341,
+    0xfa80498d, 0x21593fad, 0xe3ecb948, 0x8aba4fe6, 0x4bf29453, 0x4aab5c6b, 0x10d5638b, 0xd3e81605,
+    0x0e9801ad, 0xe4bbcb88, 0x99253071, 0x1c649864, 0xfc0cbc4d, 0x04d7ffe4, 0x08c7223b, 0x7176302e,
+    0x235db101, 0xc7c4d2e2, 0x8a1cf6b5, 0x628d34ff, 0xdd91c5b8, 0xa6b78558, 0xfc45f7e0, 0x22c4eb1e,
+    0xa9754a1b, 0xf7a8aeba, 0x8f9e8edd, 0x98e366f8, 0x42a91215, 0xa8d77295, 0x39c6be97, 0x55fdc19a,
+    0x8c553533, 0xc3b716e7, 0xbf75c3a1, 0xb6df8be5, 0x9d945eb2, 0x1b3661f9, 0x1054dd0b, 0x73231dd0,
+    0xdff1dedc, 0xe2270240, 0xfe594910, 0xfafbe0af, 0x58e70131, 0xf8eb8bda, 0xfef2564f, 0xbf032f91,
+    0x96bf6b65, 0x30a0bc80, 0xb7469612, 0x60e959ea, 0x3e7fa8cd, 0x1be70628, 0x7bcfa237, 0xbef938e5,
+    0xdb4defd4, 0x983ff84f, 0x166d49e3, 0x31a35a0a, 0xa33e5c1e, 0x57e6cd27, 0x23154efd, 0xef48c32b,
+    0x9da05c19, 0xf5684c16, 0xa7e67ac5, 0x9b3168a8, 0xfa74cbb7, 0x133ee34d, 0x760fa2ac, 0xcd68db87,
+    0xf48b1772, 0xb0e46835, 0xbf175cc4, 0xbfaf9e1b, 0xc548b343, 0xa467f6cc, 0x6f5f35d3, 0x887b9ec5,
+    0x6ae89fc5, 0xc734e0aa, 0xebfd3d33, 0x74495ef5, 0x0dfbc6b6, 0xb83a437d, 0xbb7482df, 0xd0ad082b,
+    0x9a16be18, 0x1d3416d5, 0x01d7a725, 0xaf5adb54, 0x9994b403, 0xd029904c, 0x8b47d0dc, 0xdce2240b,
+    0xf8871182, 0x5cde80ff, 0x31af3201, 0xa8e727a2, 0x97b526f0, 0x737734be, 0xc335b43e, 0xb32a6d41,
+    0xd36eed18, 0xc0ae1173, 0xcf72aaf6, 0xb7ff20fb, 0xe8cdd474, 0x8bd70e42, 0x93dacca2, 0xf93f8bd5,
+    0xfa52a549, 0x8f11c397, 0xfde9af40, 0x5bcf6bd6, 0x61f46f03, 0xea5ba60f, 0x825a6e58, 0x5e158a7c,
+    0xd63ac6bc, 0xcc6e2142, 0x01cbbdc1, 0xf3b7e2f2, 0x0029c34d, 0xae44be5c, 0x138a8460, 0xa097115d,
+    0x68eac2ab, 0x9ed24b06, 0x4a48cbfa, 0x159dda98, 0xb677964c, 0xf0fcd0d4, 0xd0e9ce27, 0xddaa5a35,
+    0xa1a29c16, 0x5b57e63f, 0x75080583, 0x603c9016, 0x2b1a097e, 0x3950ddf1, 0xfe23ef18, 0x4b254207,
+    0x943cf403, 0x9fdea1f7, 0xba68f348, 0x31dbc01b, 0xace467e3, 0x05814bfa, 0x76bccfbd, 0x8c716858,
+    0x1830ed51, 0x06849b81, 0x2f3a0b07, 0xb4006413, 0x5c86cafb, 0x8a4e5656, 0xbc0d46df, 0xb5975725,
+    0x87c763a6, 0x7f4a4fda, 0x9194919c, 0xbca66317, 0x402dd06d, 0xcf0c9fdb, 0x59300bc5, 0x18dbb10b,
+    0xff007593, 0x748122f8, 0x9a195f5f, 0x9564bb6d, 0x03a454eb, 0xc640cfc0, 0x24fe0e1b, 0x440ca840,
+    0x89efea7a, 0x760946fc, 0x59f4e0ea, 0x16a1fc27, 0x46eac9b0, 0x19331178, 0xd7f1742e, 0xaaafc6b6,
+    0x4488b07a, 0x5a5c2b97, 0x316c6f9d, 0x7e8f0537, 0x3215d39e, 0x200dc817, 0xdae711a6, 0xdc85fd99,
+    0xaa62478a, 0x0469f4d9, 0x765dc8f9, 0xf1979ff3, 0x0b9a6342, 0x0cf7e8d0, 0x4f3b20dd, 0x05abccbf,
+    0x22d32fdc, 0xf780765e, 0xf10b9d3d, 0xe5a62e2d, 0x76925e47, 0xa07ae589, 0xadbc6bce, 0x954dd74f,
+    0x7b0ee3b7, 0x41d5f814, 0xa974dc11, 0x012a68df, 0x54307e44, 0x9ddc8492, 0x23b461ff, 0x778a18b8,
+    0x4d426a00, 0x38dd380d, 0x5b36bdde, 0x769a6309, 0x1e996979, 0xce942682, 0x4f76b2ca, 0x795bad96,
+    0x02e40bb2, 0xe37ed764, 0xabcaf731, 0x3197c433, 0xb6d5974c, 0xd3dbe31f, 0x41e2254c, 0xd881ec8f,
+    0x98a6ee5d, 0xfe7feb1d, 0x2e48c0a2, 0x20e7c168, 0x006de2bf, 0x6e3b64f0, 0xd2c38a9e, 0x759ea61b,
+    0x593cbc36, 0x38fd970c, 0x7a1d06b1, 0x57eb34f8, 0xcdf17d52, 0x0db5018b, 0x9b94fa48, 0x115c5f0f,
+    0x2607039b, 0x6909ef05, 0xfeabb8e9, 0x6ab2f8ab, 0x470469bc, 0xfe639cd3, 0xb585ce18, 0x9e5c9816,
+    0x41c101c8, 0x2c966b71, 0x8be1c229, 0x99f4fffe, 0x4e3cd3ea, 0xa06bd7c9, 0x665db7f6, 0x45aa483d,
+    0x9d96c059, 0x433cd4b1, 0xe0328a4c, 0xb329e0a4, 0x50936d83, 0xee743b71, 0xfb40e186, 0x21e40478,
+    0x3651f509, 0x58b809d5, 0xc015f191, 0x95c1b6c5, 0xf42d7951, 0x02cf7f74, 0x07769897, 0xce15c0f6,
+    0x6e53db73, 0x697a0c1b, 0x20e6730e, 0x017e0ab9, 0x3c0c8ace, 0xf4d3b93d, 0x94d07671, 0xf9e4af83,
+    0xd0664f44, 0x90c948fa, 0x12c51367, 0x8ad8d110, 0x6a8c3b32, 0xe970401c, 0xa85ec55d, 0x7e265ab0,
+    0x5a3967f3, 0xfd7aedd2, 0x64e59f42, 0xe7caf1fa, 0xc2e179c2, 0x2a76203f, 0xdef55a35, 0x40b239ff,
+    0x0e0de1d7, 0x144a79a8, 0x591a2458, 0x088e0b6d, 0x6d09bdda, 0x7f2c4653, 0x7863a3e0, 0x7175d177,
+    0x2fcc8d63, 0x00d4d1ea, 0xe05740ce, 0xbf0cff3f, 0xdc96bb83, 0xf6b18a5b, 0x5cc0a543, 0x130df6f2,
+    0x98e4085d, 0x813d7794, 0x1d1f7acf, 0xb78b33c2, 0xbfee093e, 0x884ab0f1, 0x9ab2a0c5, 0xbca37524,
+    0x0b730de9, 0x54f88513, 0x8d5c4d09, 0xed65f10f, 0x16c920e6, 0xe7e3e556, 0x11d23679, 0xb83b84b6,
+    0x608a7086, 0x30855fb1, 0x376ac7cd, 0xa4acd0c1, 0xbeff6fe2, 0xfea36b66, 0x8c37c744, 0x21916d5e,
+    0xa7cfb029, 0x8325866b, 0x9c695974, 0xa0a4022f, 0x65ebc9be, 0x1e2ae45a, 0xbcbbdd09, 0x8428df22,
+    0x4b210c04, 0x66030908, 0x36c57cca, 0x1b1ab417, 0xb3b93f6c, 0xe1a668b7, 0x1dff7bc7, 0x44c6aeee,
+    0x97b155fe, 0x3a001e14, 0x10c811fa, 0xd1ed87b3, 0xc1e01e3d, 0x5950cdfa, 0x9bd350f3, 0x0844f2a6,
+    0x4009e487, 0xd85fe065, 0x6019edbd, 0xf7c14edb, 0x2ede46a5, 0x8c011cf6, 0x9aa6b846, 0x6d9972a8,
+    0x1dcf9bb8, 0x15ccd27b, 0xbfda6de6, 0x8145f38c, 0xc65e6098, 0x191b3409, 0xb1b0cd36, 0xb39cf436,
+    0xe07e63bd, 0x28414d91, 0x6dc7431a, 0x453dafe2, 0x83640bc0, 0x7c426d36, 0x243131f3, 0x70d5c9e0,
+    0x55d8807c, 0xb77cc8ec, 0x52d59384, 0x8bbb2c2b, 0x6a5daf4d, 0x951e55b9, 0x848ebcc7, 0x5d8f3d75,
+    0x30a55b24, 0xb2657d6c, 0x89942a8f, 0x45a46383, 0x26f11384, 0x2f6d8b98, 0x1a0f8318, 0x2b0c0728,
+    0x615b6c8c, 0x96d1ff09, 0xdc91d7a4, 0x14777604, 0xdb85610c, 0xffb4a6cd, 0xab901386, 0x01c03da4,
+    0x1f304582, 0xc7e8c268, 0xcdad041c, 0xe447c2b4, 0x6e502976, 0xd9f5a29d, 0x4d227491, 0xb545503f,
+    0x3d4171c0, 0xe749c1e1, 0x5000bf02, 0x45422c7d, 0xe0f77c5e, 0x53712e63, 0xc22b3dc4, 0x872037a9,
+    0x5a6024e5, 0x773323ee, 0xc251ccd1, 0x35228c72, 0xdd382f20, 0xb018c5e5, 0x25ba5815, 0x36aac05c,
+    0xa5cc80ff, 0x760a7964, 0xe7c0ddb7, 0x87fbf113, 0xd9dcbb0d, 0x19915dc5, 0x9a86563d, 0x857921b5,
+    0x438c4de0, 0xf34f8caa, 0xef5c815e, 0xc011c468, 0x5e295d47, 0x86a98438, 0x20ebacdc, 0x3d36d7b9,
+    0xe69486d1, 0xb031a92f, 0xf0c60121, 0xe3874bda, 0x12478eb1, 0x5cb10af7, 0xb0e16e00, 0x3e6a901d,
+    0x2bb32d00, 0xd0d3b183, 0x0b01a216, 0xcffffed1, 0x3eaf19b5, 0x46e4ee19, 0x4cff52c2, 0x1f7bfc82,
+    0xd44d899c, 0x8fdb01f2, 0x75e922ef, 0x96536f9b, 0x1cfe3e4e, 0x1e4f608d, 0x07d87d26, 0x28530e8c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000002371\
+                         42198758023568227473377297792835283496928595231875152809132048206089502588928 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49,
+    0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082e, 0x7859d065,
+    0x00000000,
+    0x9f62a076, 0x4ffa34d7, 0xfc38ca2d, 0xa1b97ee4, 0x52458628, 0x4895baa1, 0x560a6eae, 0xa2c698c1,
+    0x59922a68, 0xfebe7d62, 0x578378cf, 0x1f9e4c87, 0x61eded8a, 0x7834cea9, 0x9de8cb69, 0x4576672d,
+    0x375868a2, 0x65bc2353, 0x631b4ed1, 0x130c99e2, 0xbfbabcd8, 0x0e9abdc2, 0xc95d4e6a, 0x49d48297,
+    0x2d0c6d79, 0x37b86835, 0xdec3f7a6, 0xca48a6b1, 0xdc7157f6, 0xf8bcf92c, 0xe685cdcf, 0x2ebf1290,
+    0x695c9a89, 0xc136dc17, 0xea7df8ff, 0xd695fa46, 0xdf46e66c, 0xcaeae67b, 0xd77d0c9f, 0x2aef0427,
+    0x07bedc20, 0x2c703fe6, 0xd621ddcd, 0x29b35e4f, 0xb2f6f471, 0x183e2af5, 0xba5d0e3e, 0x128381e5,
+    0xd990c95f, 0xf1b29c2d, 0x99c7d53a, 0xef399ce7, 0x5afc0fd6, 0x19b8aa2f, 0xeceab440, 0x24d79341,
+    0x319550be, 0xf3cabb30, 0xab3f0569, 0x0d2f559e, 0x2d045506, 0x664d0579, 0x2551cca8, 0x5772a5c7,
+    0x9fde2d3b, 0xc7a2716d, 0xe8fbc714, 0x3c956c72, 0xd7be9192, 0x7b726fd2, 0x093a635b, 0xd26d43f8,
+    0x7c137fe2, 0xc2935a3a, 0x676aafcc, 0xca0dc4db, 0xc5fe6b2c, 0x8abc1f3f, 0x4ca2238a, 0x1181672e,
+    0x750a746c, 0x7ed786f2, 0x5ed2e1f5, 0x886202f3, 0x67021960, 0xa4a925a4, 0x62f660de, 0x0f65d7fe,
+    0xb91cd1d4, 0x11f86ca0, 0x3d15d75a, 0x1e137f2a, 0x7b1afa11, 0xe153716f, 0xda71d210, 0x2fefbe5e,
+    0x01946820, 0x8e3cf748, 0xd1173479, 0x2f146f97, 0xba9ccc3f, 0x390491fd, 0x5c6c8bb6, 0xd1299af8,
+    0xef863e29, 0x58d7e488, 0xe5acd2ec, 0x8b5c6639, 0xd45061bc, 0xafdf5a51, 0xafe9097a, 0xeb6d041d,
+    0xcbc86467, 0x7d4ee654, 0xe5d47edf, 0x3296c978, 0x853ea527, 0x7a6de390, 0x8715c19d, 0x1be4d66c,
+    0x83effd69, 0x10aa7a64, 0x6d3b9b0b, 0x44b0bd7a, 0x47f64693, 0x60e00ba9, 0xf9a4f35f, 0x562bc37f,
+    0xfe048fa5, 0x8363b2c9, 0x50b92c69, 0xe21dac3c, 0xd254e347, 0xb9a3a854, 0x6304f7d9, 0x7cedd185,
+    0xa47adee5, 0x7fb08737, 0x38b8a9dc, 0x424d6382, 0x78aaee4b, 0x452f93a6, 0x7ac02ba9, 0x0a2b961c,
+    0xb7a2d4ed, 0xef144325, 0x4ad76acc, 0x74f80b2d, 0x4d351273, 0xc18d41cf, 0x1428a0e0, 0x94a642d3,
+    0x97c91766, 0xd5a9474e, 0xd186e57c, 0x911bad1f, 0x3a958acc, 0x4362e472, 0x82b26942, 0x6ef0c57f,
+    0x29aff3de, 0x4ea6466d, 0x6158a4a6, 0x28812688, 0x0d5bdf81, 0x102db9cb, 0xbdfb7198, 0xc29ad9c0,
+    0x11871909, 0x3c16c2e9, 0xea0d6128, 0xf4854df9, 0x911dc5dc, 0x4ca7df93, 0x8dbb2397, 0xf09834ff,
+    0xac3d3ca6, 0x105fd179, 0x00f78d01, 0xb22b8cce, 0x46d8e29f, 0xc75905f4, 0xc0daf989, 0x4644e0a3,
+    0xe18bd37f, 0xf52a1706, 0x6db3d06a, 0x5d1bbba5, 0xb673f659, 0xcced0097, 0xf55c9609, 0x8613d525,
+    0x629a3749, 0x42805ef9, 0xfe81f911, 0x826a8342, 0x41d0f3c4, 0xd2d4f69b, 0xb4edb8fc, 0x5629dd92,
+    0xc7f540ee, 0x17e30b60, 0x47d1871e, 0x045e643d, 0x96d16460, 0x8b2a073d, 0x29faf8dd, 0xcc824292,
+    0xb661b6c8, 0x3dff288d, 0x091cc510, 0x31817c78, 0x4c22be69, 0x0aad6c5e, 0x89f030fa, 0x4d6f83e9,
+    0xd53eaa46, 0xef1b97b5, 0xf9ad6018, 0x4176efdf, 0xf1ad0d80, 0x73d95163, 0xd8484802, 0x55223559,
+    0x4c190888, 0xe1a64d17, 0x690079d2, 0xb983a734, 0x31a9c6fc, 0x0500f558, 0x828619c9, 0x0db4219b,
+    0x09f948ce, 0xf85570e6, 0xacc44867, 0x11d824bd, 0x5fab8d5c, 0xd82ec3a7, 0x982f66ae, 0x2243215a,
+    0x2ed67a71, 0xf2226437, 0x07d86b70, 0xf3b71e03, 0x4b682a4c, 0x06765075, 0x80d16be8, 0xfacc3ef9,
+    0xaa847c2c, 0x296c63c9, 0x47d96770, 0x65741a45, 0xa8405207, 0x42c011e4, 0x778c4278, 0xbc086128,
+    0x130ae820, 0x3b55f029, 0xd3a4bf7f, 0x39db438a, 0x61bfc926, 0x00733c1e, 0xa6432b52, 0x02aaa455,
+    0x5f356d85, 0x021c2047, 0x47470ce9, 0x27e5ae84, 0x7a0cd529, 0xcaf11c04, 0xf1d5aa23, 0xb00b3bf0,
+    0x2dc99284, 0x9a568c6e, 0xb1cd0948, 0xabc0c9c1, 0x674cc905, 0xebc71cc9, 0xbc63bbee, 0x74d46eeb,
+    0xc046e131, 0x2cb8a912, 0x3794c884, 0x0888da76, 0xf6681197, 0x5e98a578, 0x0753b5ac, 0x5647a3dd,
+    0x6cc56376, 0xfa96f10f, 0x8d862901, 0x40a42f58, 0x56f523ee, 0x30b69cc6, 0x9d92d549, 0xbf773dbd,
+    0x4f35ecf2, 0x5184c914, 0x653c648b, 0x1de2214d, 0x3d8a5021, 0x19ca63d3, 0x3a48190d, 0x90eb89d3,
+    0xca6606f6, 0xe5fd9c9f, 0x3ca5376d, 0xe5a10653, 0x66832d5f, 0xc40e0966, 0xfc1bcce7, 0xec360e22,
+    0xee20cd8e, 0x2d2496df, 0xdf86d99c, 0xf1d75d98, 0x375c640a, 0x4915c34f, 0x578f6ee8, 0xd4e22845,
+    0x710eae76, 0x18bbdde0, 0x35dc59d5, 0x92a1cc24, 0xd962f59c, 0x3f2265e0, 0x43aef76a, 0x6a38fdf3,
+    0xb60e0a55, 0x3a369c5c, 0x573f4dc8, 0xd60e6fac, 0x6922bc5e, 0x76af5704, 0x27a00c36, 0x1507e9b6,
+    0x804df6e9, 0x694d761e, 0x987bf277, 0xb8e8a5fc, 0xfcb0ba34, 0x99a2ef9c, 0xec7e8c09, 0x730e9058,
+    0xb899eb11, 0x28d4d41a, 0x2e3bb23d, 0x3074a59f, 0xb5af93dd, 0xacb1387d, 0xdf6fccee, 0x01f5964a,
+    0x45adb6eb, 0x301b4e43, 0xe3c976fd, 0x5eebaab9, 0x0abf9a0b, 0xcf464e68, 0x16c17fd6, 0xb7fb356f,
+    0x01ad20f6, 0xe0339da9, 0x4e00911b, 0x856b108f, 0xedb8386f, 0xc629f595, 0xa778eed4, 0x87136c2d,
+    0x4f9c9d4d, 0x850b1f88, 0x13f932e6, 0xa3a3d077, 0x0590bc38, 0x6a394bb0, 0x204e323e, 0x9d6bdb85,
+    0x6022bb07, 0xc29660cb, 0x7fe6bf65, 0xf45b9665, 0x471cb015, 0x41f1d9b2, 0xdf6d45d5, 0xc61cd9f6,
+    0x727644f7, 0xbcfea930, 0x7e0e65b5, 0xd10d1863, 0x3cc5de79, 0x2c051e14, 0x9d14dc02, 0xa075f50f,
+    0x0f1d95cc, 0xe04d96a7, 0xbfb650be, 0x952999b1, 0x448ac69f, 0x47aada9a, 0x3fb33f65, 0xa4675880,
+    0x1f670044, 0xdc3f02b1, 0x0be53850, 0x63ee0e56, 0xc67fb3da, 0x475f5f69, 0x22545cb2, 0x1fcd59e4,
+    0x8a785b5b, 0x979f57f6, 0xac337794, 0x1cb7b7f2, 0x7d3b4090, 0x823ee78d, 0x2824b99b, 0xd6fea302,
+    0x3f73fcbb, 0x310b2322, 0xc9213c40, 0xc13ea609, 0xda021e4c, 0x4a412fcf, 0x72977bb4, 0xbadc7217,
+    0x574feb3e, 0xfe769cb6, 0x7aa076a8, 0x41537b0b, 0xc78fdd64, 0x17a25296, 0x6631b238, 0xd6dba1ec,
+    0x06832f2f, 0x51f0a21b, 0x3835a74e, 0x23515e8c, 0xf50e8aec, 0x9d35aa4d, 0x69c307f7, 0x835ab0fa,
+    0xad5d1583, 0x8f699f14, 0x4fc3fa44, 0xf1964fc4, 0xf28dc368, 0xca0422b4, 0x59b528a3, 0x0c9205d6,
+    0xd44eba18, 0x53431a2f, 0x1a281c5e, 0x83aacb00, 0x5ae3d69d, 0xda631cf9, 0x65a7fa27, 0x04661dbb,
+    0x30ea0f0d, 0x4f34c25c, 0x20b01c44, 0x757f4ee7, 0x2d8f5fe8, 0xe6911550, 0x24b0b83c, 0x1fd1a0d6,
+    0xcf4a5434, 0x7ae1a0a8, 0xa9475633, 0xe4b37790, 0x519bc030, 0x6a814912, 0xa91cd46a, 0x510bf11b,
+    0xe5a6b7b3, 0xa2ca2a69, 0xb5724e24, 0xe82c5e66, 0xdef09682, 0x187e66cf, 0xc11d8cde, 0xb2e86d4c,
+    0x11f008c8, 0x8da2d313, 0xa915bdf6, 0xaf9d9e92, 0x5eac1457, 0x342d7d52, 0xa8c0ca88, 0xdecd8da2,
+    0x9ba5c34e, 0x80f2cf98, 0xd6284495, 0xcae3aad6, 0x95580f59, 0x21addc34, 0x69d0b3ce, 0xbd4f08d7,
+    0x9c9d1bbc, 0x3b623e2c, 0x4b1f5373, 0x355338df, 0x1eeacc7b, 0x3d3b0dbe, 0x1ce09e03, 0x3e96b1e8,
+    0x738ee70b, 0x2c4875be, 0x2691dacc, 0xecec9279, 0x4bb90ddc, 0xf8c332e5, 0x820c31cd, 0xa9970a90,
+    0x2ddef98b, 0xd2b4fb73, 0xfc622c5d, 0xe1d4486f, 0x042ccc45, 0x01cce7b8, 0x4752f7a3, 0x6d1db4ce,
+    0xcfdad8bd, 0x63a053ef, 0xedab41e8, 0x755bdd9b, 0xecd8b943, 0x6a4ba2c9, 0x032ad755, 0xda6f0290,
+    0x6426da38, 0x738739dd, 0xbd659caa, 0xe9d8501f, 0x58fcbec1, 0x4ad82dd0, 0xa46bfaa7, 0xc2a9ff45,
+    0xc6a53f0a, 0x46922573, 0xa5f7ecfd, 0xd3579caf, 0xc9f92007, 0xbd14cc88, 0xf3619e31, 0x50d5d4de,
+    0x17498735, 0x47a4f8d3, 0xe9ae867e, 0x3a43d45b, 0x21965198, 0xbc1cd7b6, 0xfe4f610b, 0xcd22d85a,
+    0xcab205be, 0x22b1cf18, 0x1f69d8f0, 0x757a4ef6, 0xce60ae81, 0x8f5e00fd, 0x463607ce, 0x8558cfe1,
+    0x029c73bd, 0x7e0c9f78, 0xd08e65e5, 0x4abf0485, 0x90937752, 0xa8ba47fc, 0xfb95d252, 0x832a0427,
+    0x35ffbe3d, 0x9b61d305, 0x86a03c1f, 0xfe29b762, 0xb28a2ce5, 0x6dd9145c, 0xe0e72d61, 0x5a63ad14,
+    0xe2c25107, 0xbe112d0a, 0x2ef50820, 0x8cf3239e, 0xcb9823d6, 0xaa9b6971, 0x96696355, 0x7de1865b,
+    0x5d13abfa, 0xffb4a413, 0x3e2319c0, 0x94e07d90, 0xaaf74582, 0x0415fb4e, 0x1f219460, 0x2e7e7ad4,
+    0xabd7dcda, 0x62999f8f, 0xdebf87b0, 0x3d42b9a2, 0x6fb2f391, 0x749efa0c, 0x4346cfd1, 0x9ebb3b07,
+    0xc4407088, 0x77b0c49f, 0x51a7004f, 0xb0e61429, 0xe18eb317, 0x564a2806, 0x1d98edb3, 0xfce95d0a,
+    0x167810d4, 0xd7ee4348, 0xa317cf71, 0xfa096d1f, 0xb9fd8537, 0x31c2fc30, 0x934cbbc9, 0x93c2bd39,
+    0xc6b67a2c, 0xc15787d7, 0x79e5f789, 0x1b65ce37, 0xda62fdc9, 0xf00942b3, 0x9e4532db, 0x40cfb377,
+    0xad1e28b8, 0x4b1c9eb1, 0x3b85c95e, 0xb3c03102, 0x35e165ec, 0xf32d5b57, 0x0363a38a, 0x021e1d26,
+    0x8c82b761, 0x3ff5fc06, 0xbdfca4d0, 0x9a065b3d, 0xfd84c5ab, 0xf3fea31a, 0x3a18bd72, 0xf67f6483,
+    0xeee5f2fb, 0x689f2507, 0x8b1bb4f8, 0xfa2c6840, 0x66164a00, 0xfba03590, 0xe247bdd8, 0xe6270d4b,
+    0xffcff7a5, 0x753eac77, 0xea45b523, 0x47c6968a, 0xe2c6640b, 0x5f6c799c, 0xc2b2c505, 0x0371d7fb,
+    0x09f486e7, 0xfb693552, 0x53237a61, 0x05fd00c7, 0xa180bd6e, 0xa9508f95, 0x10a17a37, 0x42593027,
+    0x9de776b0, 0xf609c201, 0x1125f9b2, 0x2712fa23, 0xbbe36d04, 0xb7ddfe5a, 0xd53523f6, 0x7f81f0d7,
+    0x2d352515, 0xbf3748ca, 0x5c95a398, 0x6044edde, 0x734c4fcc, 0x18f90a2b, 0x0ca1eeda, 0xb5bd16a7,
+    0x02d40db4, 0x2a1bda14, 0xf005f04e, 0xadc42d99, 0xb095feaf, 0xc719a0e9, 0x041e19e4, 0xf9c99347,
+    0xf3ec541f, 0x8dc6adc5, 0x7740f45c, 0xafaa0797, 0xd5a12a10, 0x912af1d2, 0xc1f16d93, 0x451a3ccf,
+    0x07ca70c5, 0x91c3423f, 0x0bdc20d4, 0x4e54fd74, 0x6c056de6, 0x4709dbce, 0xd6393f1a, 0xfa2babfb,
+    0x485309eb, 0x38e6f2b0, 0x99b954af, 0x76c356c2, 0x22012506, 0xf7a4f590, 0xfeab8106, 0x5de1cafa,
+    0x0130a433, 0x8f023090, 0x3afcfd91, 0x2084b747, 0x61f3ba35, 0xa7be64f4, 0x03a2b66e, 0xa0961fb5,
+    0xcd90f439, 0x874d867d, 0xd3ada314, 0x82d6dad6, 0x3c307616, 0xa3871775, 0xf14ae2a3, 0xfe2ed145,
+    0xf4ddd501, 0xe62dbc66, 0x4ec766aa, 0xbbb94737, 0x5aaa8223, 0x2e6fd65e, 0xd1dd625a, 0x4b6d72ea,
+    0xbedef325, 0x0e8766e0, 0x458f2b59, 0xf8e75a10, 0x5169b0bf, 0xbcfc66ae, 0xc58b6e12, 0x6eb4ae77,
+    0x51e1d3a5, 0x847babe3, 0xe77c232e, 0xcc95e65f, 0xee1fb73a, 0xdea41bd7, 0x805a9c87, 0xac691218,
+    0x7163700d, 0x99acf418, 0x75c4db76, 0x305e7896, 0x5455cd1b, 0x0376d167, 0x4c650504, 0x314524b0,
+    0x401867b3, 0x68b628be, 0xd397802c, 0x44753b3f, 0xeeb9fbb4, 0x07472172, 0xa2b55b87, 0xbb0dfaab,
+    0x6d9f3982, 0x29e0f1b9, 0x63f73ce8, 0x152eb340, 0x3d0084ed, 0xae4891c9, 0x1a1abba7, 0xc8d98405,
+    0x8f56fb03, 0xc827383a, 0xac466dad, 0xb3ab6f27, 0x998005d9, 0x630ebf36, 0xf9ab2b67, 0xfabee3e7,
+    0x9f955384, 0x676a6e36, 0x5b1eb0c3, 0x1dd6698a, 0xc83b4569, 0x7556c3b8, 0x06691702, 0x9d050aa7,
+    0x47bf416b, 0xefe66b15, 0x5ca8f8f6, 0x5f9a08c3, 0xfeb53dc2, 0xdef29946, 0x5d842dfd, 0xf73a093c,
+    0xd150fbe2, 0xce01e7e5, 0xe0d2822e, 0x54d888ea, 0xf4141cb0, 0x3108f834, 0xeba26c9e, 0xe38f2e6a,
+    0x48ea960e, 0x7e8d28ff, 0x2f3113a2, 0xf923aceb, 0x3c727171, 0x24ba621c, 0xff1d9aeb, 0x33e71d4f,
+    0xa0164983, 0x2e84477a, 0xb2139092, 0xa28eee6e, 0x10e7f4e5, 0x77190019, 0xf0691790, 0x0115ba0e,
+    0x6a6a7232, 0x97bce6f4, 0x9d672da8, 0x9a5bf2c9, 0x495adb59, 0x8c8c0a62, 0x7ddbc541, 0xb07a9713,
+    0xd5b22f2b, 0xeea816bb, 0x04b261c8, 0x57a08543, 0x2c745a56, 0x6ab199a5, 0x27e566cc, 0xa7a5d001,
+    0x479d6acf, 0x6d3ec150, 0x7ea3474c, 0x939d8d2d, 0x7895bc96, 0x8ac70ca9, 0x5b676cc6, 0xf76ae72f,
+    0x427616cc, 0x4d1c76ea, 0xed1ba6fc, 0x30712283, 0x0e8a62b7, 0xa2cf9cfd, 0x2a8617c6, 0x9fb6033c,
+    0xd73775ed, 0x62039f89, 0x0975dcca, 0x6d361498, 0xe4a0f5f2, 0x06c39e75, 0x3a7f6ffb, 0xb6cdec8b,
+    0x1584c03d, 0xb4792e72, 0x6e7ffb1f, 0x3fd4746f, 0x78ce1dab, 0x02c6f6af, 0x401adc4d, 0xdbf254cc,
+    0xfab15270, 0xa89c20f0, 0x3aa28f95, 0x4e84ad81, 0xe5163d44, 0xd88b4eb5, 0xcbfb5e95, 0x449cf45f,
+    0xbb52546d, 0x0555b29f, 0x29de66e2, 0xb7826d95, 0x6df49f37, 0xf53e9126, 0xb6d51809, 0x973b18d0,
+    0x49921d18, 0xb986e5f4, 0x63b11cc6, 0x0101481e, 0xd60d23c4, 0xa2244465, 0xf71407fa, 0x00ae4c42,
+    0x158b5721, 0x80e902c6, 0xd7ce6d00, 0xff3e179a, 0x9e1ce3aa, 0x5736ba27, 0xb07bfe28, 0xb445b57a,
+    0x85357c89, 0xf85675b2, 0x7064f9c3, 0x152d20c1, 0x59244dcd, 0x7473329d, 0x6e638d8d, 0xc1a1f5b0,
+    0xb0174414, 0x26e14b53, 0x4d6d7a13, 0x0fca8f6a, 0x21413911, 0x0a6732ba, 0x20c50294, 0xd3e3a856,
+    0xa501ea66, 0x9d9bb0d4, 0x12601c59, 0x9fd34658, 0x82936a7f, 0x7a3cb8ba, 0x0ee9c308, 0x53ae28f3,
+    0x88545c7d, 0xbbafae2e, 0x44bb26be, 0x338b72f4, 0x023cfd03, 0xe019f9d2, 0xb49de3ba, 0x6238a58f,
+    0x79bf6789, 0x3340b944, 0xef21d9ed, 0xbf051b98, 0xb99c0a4c, 0x2eabe379, 0x5c931fbe, 0x2aec0d4a,
+    0x318cab59, 0xe1442f5f, 0xebfe884a, 0xe6a83197, 0xd2183670, 0x879426de, 0xa2b08ae6, 0x519c46e9,
+    0x1b4718be, 0xd4aba6f9, 0xc5bea609, 0x6aabaa21, 0x455d5ca8, 0xa460aa92, 0xd8f24dbb, 0x7284444e,
+    0x79af5c23, 0xb3e4fd90, 0x4cc5ec5d, 0x0d57b775, 0x6c04136b, 0xcfa81029, 0xdd2db97e, 0xf47914d6,
+    0xc598510b, 0x87139b58, 0xeff49d65, 0x41eda45f, 0x3bde053a, 0xfaf217ae, 0x64ecc368, 0x43441323,
+    0x4a37d274, 0x95296f8a, 0x498b8a33, 0x5bef5244, 0xc3171009, 0x06034660, 0xcefd9f26, 0x854b7e8a,
+    0x47d5d0d4, 0x4c4b230d, 0xcdba619d, 0x14115fce, 0x39094909, 0xb9148ae6, 0xee04cf82, 0x2000cef4,
+    0x59b5b400, 0x42241de3, 0xe68dbd0f, 0x66f4af43, 0xcfaa8c30, 0x2e20b68b, 0xb0b5d057, 0xa6ceda25,
+    0xf2ca87af, 0x07f8165c, 0x67ff0646, 0x38e9fc6f, 0x8bb7ee64, 0x0149a585, 0x508441c5, 0xae504399,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000001185\
+                         71099379011784113736688648896417641748464297615937576404566024103044751294464 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4,
+    0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640417, 0x3c2ce832,
+    0x00000000,
+    0x8ed54a63, 0x696a6bf8, 0xdf65aac7, 0x808f5422, 0x6edb5819, 0x9983cdbe, 0x9012f692, 0xe84c697a,
+    0x8acb6cce, 0xd009a14e, 0xc034a9a3, 0x5a7a08df, 0x6ee86529, 0x3503ae13, 0x10d98a15, 0xf49d6c61,
+    0x37dbe5b7, 0xca0d3df6, 0x5ba8acf8, 0xc43e3ea8, 0x47b22fbc, 0x85005848, 0x2bdca8d6, 0x94a8e7d5,
+    0x2faa1d3f, 0xc20e9a5b, 0x29332870, 0xbc918cc0, 0xe38183e0, 0x8927dc31, 0x8049fc25, 0x624abf80,
+    0x1886b9c7, 0xd5166aa6, 0xec574061, 0xf19bafca, 0x8120c0c8, 0x8d11f23e, 0x3adfa14e, 0xafb21804,
+    0x0e813185, 0x975a401c, 0x69ff7b07, 0x406077a0, 0x15e8b058, 0x4796d98f, 0x143bc612, 0xb8c60466,
+    0xa9d6c6a1, 0xf34356c5, 0xa2b56417, 0xc2c88020, 0x4b5cc445, 0x8bac2e61, 0x71efc95a, 0x9815fc7a,
+    0x0dfd7db4, 0x42f429b0, 0xcd329832, 0x5c5aa3e3, 0xf292699d, 0x19c905f2, 0x0be01467, 0xc70229bc,
+    0x51b048a0, 0x43887faa, 0x9ffef4a6, 0x56001be7, 0x89a057c0, 0x1c0184fc, 0xedf53c8b, 0x36676132,
+    0xba9cd0b7, 0x035a7733, 0x49d0f5cb, 0x58d56894, 0x6d562efd, 0x4574a3cc, 0x11f872a4, 0x93ab9566,
+    0xc3d1bde6, 0x3611c399, 0x1fcfc98b, 0x772703af, 0x1d0078fb, 0x167e275c, 0x25523a5b, 0xb13968d8,
+    0x62fe4acc, 0x362d13c7, 0x93f9e50c, 0xff9794ec, 0x92597bf3, 0xa2f03e80, 0xc3d3e714, 0x55560c0a,
+    0x79bf43e2, 0xcb742dbb, 0xf9ec514b, 0x66215b0d, 0xfb13ceff, 0x24eb42e0, 0x65e88323, 0x254387da,
+    0x039213be, 0xc28bd084, 0x69a49fee, 0xd5ba6196, 0x42a4b9e1, 0xb3fb6136, 0xcd645297, 0x48508758,
+    0x26d502ef, 0x5f0fa788, 0x23505570, 0xcd20160e, 0xbce0e3d0, 0xd18dc90b, 0x9cd51927, 0xfc4266cf,
+    0x155ead86, 0xbd2e6b81, 0xfff551c7, 0xf0d5e19c, 0x2505faf9, 0x40390910, 0xcdfe62a6, 0x5c95a397,
+    0x93ea9ae2, 0x1038c404, 0x318b72e8, 0xfcc1f6b1, 0x4d33bc8b, 0x02fb725d, 0xbf5b1cb7, 0xb98b8083,
+    0x3d60757c, 0x2c22c763, 0x8ce7de76, 0x27c5b71e, 0xb7ad121f, 0xb4f6e3c2, 0x9dd80b84, 0x63451884,
+    0xaa8ca1f7, 0x2db2174f, 0x13f40d84, 0x77e78e62, 0xdf7ce571, 0xdcdd3568, 0xeab97c81, 0x2b48ae2e,
+    0xd2db78ae, 0xd415e36a, 0xe5bec935, 0xd3fddce3, 0x11315ef4, 0x72cf5523, 0x9c5db0c6, 0x19832038,
+    0x6f1af95d, 0x8212b2ce, 0xdd87b455, 0x6dc20cdb, 0x58416a1a, 0x586b1e37, 0x1928a659, 0xd30f83dd,
+    0xbc7ca300, 0x2b513e86, 0xaf9c4498, 0x681a017d, 0xafc8700e, 0xa3e0d4ac, 0x85804785, 0x31790cae,
+    0xe42adab5, 0xd905a676, 0x429a1f51, 0xd7239c08, 0x51aea461, 0x325bc8df, 0xaaeb0cd8, 0x76b1bb90,
+    0xf9d10e67, 0xc7d76c15, 0x662d174e, 0xf420dbea, 0x09fcf74e, 0xe129b270, 0x9a3eb4dd, 0x0321e0ff,
+    0xb5260685, 0xfdc07880, 0x4e54cbed, 0xa319ba8f, 0x5900ef6f, 0x20f096ce, 0x039e4d00, 0x55a9c0f6,
+    0x35cfbf59, 0xaecddd63, 0xab45bd2a, 0xabeed644, 0xc912e11a, 0xaa3d22eb, 0x4d589561, 0x24cf4d63,
+    0x40394154, 0xb1ff7877, 0xaeebbb67, 0xe756814d, 0xfd79a9da, 0xe424f913, 0x6266a28f, 0x8005d84c,
+    0xbd804293, 0x8d139490, 0xf6879494, 0x60acc274, 0xbaff60ed, 0x50f9f031, 0x4905bda9, 0xe014b325,
+    0x065d3f8b, 0x121d9d86, 0xb31081a2, 0xc656fa0a, 0x7f70da25, 0xfbf9f2d1, 0x2e019943, 0x5c12bafd,
+    0x49cef73f, 0x6f593ab0, 0x402af187, 0xcd8eb119, 0x876a0900, 0x372def64, 0xa083a758, 0x6f5f6f4e,
+    0x713c0f03, 0x03da594c, 0x1f8ddd77, 0xfcc40930, 0x71670ce5, 0xb5f9e559, 0xaa9732ac, 0x9236ad84,
+    0xc8d071e8, 0x468ca4ab, 0x90184555, 0xb89bfbe1, 0xdaedf4a1, 0x53dfa10a, 0x3cebc25b, 0x94b10b1d,
+    0x06db02f3, 0x8bea966e, 0xb6c3317a, 0xcd7bb675, 0x48d48335, 0x9c54ca90, 0x0563d6d2, 0x68bd8d7f,
+    0xd0050ff5, 0x44f65519, 0x57d71c9d, 0xbd44a415, 0xfece26f1, 0x8dbd4a85, 0x3437f696, 0xc6cd957c,
+    0xbee3835d, 0xf976d278, 0xd60b9475, 0x38c3a0a3, 0x1c70d7f3, 0x27fb6c1f, 0x91fe311f, 0xa7dc34c2,
+    0x2f60a9f2, 0xc69e9150, 0xec3fddbb, 0x6038cf15, 0x496982b0, 0xe395e210, 0xd766b237, 0xf642226d,
+    0xf8c28dc6, 0x3de268e8, 0x0cf1dc1e, 0x4a280fbc, 0x22b5245e, 0xafe084de, 0x83112e75, 0x2bb34459,
+    0x91cdf8cd, 0xf14c779c, 0x16d860d9, 0xf91c3cc5, 0xc2c5e0ee, 0xbe0b71d7, 0x1090b672, 0x158450b2,
+    0x4577e581, 0xf6349051, 0xbc8a617d, 0x3f2d4179, 0xe3308410, 0x3df0b8a4, 0x8aba806d, 0xde2acb47,
+    0xf00d1720, 0x838d46c8, 0x524dc58f, 0x03ff5501, 0xe9a14a33, 0x5c3c6ee5, 0x5289dad4, 0x00911f3a,
+    0x2ecd7ff5, 0x2e52499e, 0xb9d33638, 0x6911830e, 0x5728a1fb, 0x1a052f64, 0xc7d74946, 0x8cbe50b5,
+    0xd757e7a7, 0x4716a420, 0x8fb6d8be, 0xa234a68c, 0xdba60841, 0x585dd20c, 0x580dc367, 0xba0ad70d,
+    0x1c1ade22, 0x53df6700, 0x1c833041, 0xed63c463, 0xf704f0c3, 0xe194bc85, 0x784faa02, 0xed01fe8b,
+    0x04e93a07, 0xcca6aa47, 0xb5ef4a66, 0x8408a7c2, 0xfd68b25b, 0xf81eadd2, 0x26466d8c, 0xaba33872,
+    0x0d8a35b0, 0x2635d7da, 0xf0fbdab0, 0x81dc7e85, 0x7d025d38, 0x8bbb6181, 0xb0d716d0, 0xcd5f963b,
+    0x7d6e577b, 0x5ab39da3, 0x78e528d5, 0xb932f6d8, 0x41ceb97b, 0xf72542af, 0xefb90ff1, 0x28f9bf67,
+    0x7fd48baf, 0xdc012e38, 0x876fd868, 0xb550c4c9, 0x50cc92bf, 0x368d634e, 0x8b224512, 0x4f6f261d,
+    0x94e56b26, 0xd9b4ee81, 0xae5de8f5, 0xe3722f26, 0xb0398c50, 0x5509dce5, 0xba481715, 0x00de5f3b,
+    0xcc453c4a, 0xab68e65f, 0x86bb1a85, 0xbc79df35, 0xe04842f3, 0xf09f1c12, 0x1bb76b27, 0x89e13a6e,
+    0x87d3ec90, 0x16ebb5e7, 0x55f3bee4, 0x09fad5c1, 0x179194ae, 0xc65bcfe9, 0x1b022e14, 0xcb46556b,
+    0x70701ecf, 0x1f147462, 0x5ff83e43, 0x18ca0aaf, 0x6e510275, 0xf9f44bdf, 0x0ac13697, 0xd66250c9,
+    0x66859329, 0x81692b61, 0xcebfd49b, 0x9447b091, 0x485196b1, 0x052ccf7e, 0x22749012, 0x3369f52e,
+    0x53edb553, 0xde5b9ce5, 0xbc12382a, 0xa41b42c2, 0xee220138, 0xea8596cb, 0x0f0e206c, 0x5f74b555,
+    0x901fa305, 0xff56e99f, 0x86c76aa8, 0x44e44b09, 0xdbc1fc85, 0x7bc3a614, 0xfa19072c, 0x3aca55ea,
+    0xaa275910, 0xe9e4563e, 0x33f10b33, 0xca2dc5ae, 0x1bcc4c2d, 0x902fc789, 0x10f56325, 0xaec1e7e5,
+    0xc83293b6, 0xaf762c98, 0x14a36346, 0x72ff28a1, 0xe92e0d1a, 0x43b6e01e, 0xc958b444, 0x50e0e7b0,
+    0x46227d75, 0xac094c4c, 0x6adce48c, 0x4e4fff66, 0x0c331c6d, 0xde2cccf4, 0x53a2a3fc, 0x4b5a1a04,
+    0x5ce423c7, 0x3453cdd4, 0x87c66098, 0xc2ca2c89, 0xccee18be, 0x7491d9bd, 0xd62c7d2e, 0x78eb9c01,
+    0x7a3aec84, 0xfa2fc93d, 0x767c919f, 0x3786874b, 0xf634af49, 0xf3dd1833, 0xe03e810d, 0xbdad9b68,
+    0xa905bd1f, 0xb188ffa6, 0x2978d82e, 0x8e2864a4, 0xa8468fa9, 0x07754c5c, 0xe478cd73, 0x84dd3636,
+    0x25d9c563, 0xbf839aaa, 0x831b9ead, 0x5507651e, 0x6cc5bb11, 0xb881a301, 0x99c90264, 0x4181f1b8,
+    0x335f1fc0, 0x02755509, 0xe0c9aa95, 0x8e18c974, 0xc6720182, 0xd4eed24e, 0x83a45bce, 0x6361b929,
+    0x0bf69d52, 0x438615a7, 0xdc068990, 0x4a30066d, 0x87a04875, 0xebe72588, 0x7b839bef, 0xb6a95b7f,
+    0x80877532, 0xad6750e1, 0x5e2260b5, 0x141a9c85, 0x0337c52f, 0xd21511d6, 0xa3cabb58, 0x6c253235,
+    0x4b71ced4, 0xd000b320, 0xb13c090b, 0xfcaf96c8, 0x216b6da3, 0x67a67035, 0x0fbd2c95, 0x0e1dfcff,
+    0x92bcc979, 0x28395c82, 0xda171609, 0xb3651f2d, 0x4b5ba746, 0x4c2000f1, 0xce84a0e3, 0xec508c13,
+    0x16412bf8, 0x96275f10, 0xc79e446a, 0x30215b8e, 0x4d128292, 0xbd43bac4, 0xdf13ff0b, 0x26ccaa40,
+    0x53d1ed6b, 0xd095f493, 0x82bba9fc, 0x8923f4b9, 0x7c3a8e2f, 0xc03ef32d, 0xac778260, 0x06e5ff5d,
+    0x9cb76b50, 0xcaecef4f, 0x25d1c8ec, 0x761ff505, 0xeab1ac15, 0x58cae78f, 0x59f8a2aa, 0xb74293f6,
+    0x197aa2c4, 0x0f59c88f, 0x754b7251, 0xfc0ceecc, 0xcd8fe878, 0xc2b2ab61, 0x64f0b7ba, 0x0983fe82,
+    0x373c1e54, 0xf10d92db, 0x5353b388, 0x4279de08, 0x7dd9d1fb, 0x747171c3, 0x9ee61093, 0x236478ec,
+    0x8a39d7c4, 0xc8eb86cd, 0x281b2a03, 0x0f5c8421, 0x337d6a78, 0x12e5f98f, 0xfae172ee, 0xf28173cf,
+    0x732dea8f, 0x0db1508a, 0x6cf77665, 0xa7660472, 0x638bc764, 0x3a8a681a, 0x1670bfd4, 0x70796815,
+    0x74ab6445, 0x712169d0, 0x8285dfca, 0x1bee7c51, 0xb21e81dc, 0x046512c1, 0xcfb496f1, 0x44b6bb27,
+    0xb7a4680f, 0x6ac875bb, 0x752cb624, 0x67ee3375, 0x76843c0a, 0x718eb27f, 0xcca8ed13, 0xe40289d8,
+    0xc16a94e4, 0xbe2ae32a, 0x92ce8d30, 0x251180a1, 0x272e5684, 0xc8322836, 0x9e81e784, 0x1368475c,
+    0x9f70feb8, 0x0bfa206b, 0x2b07e2d0, 0xaad64b62, 0x12cb4099, 0x31b2c76d, 0x43d1e808, 0xf0fce978,
+    0x710af23d, 0xc586bf79, 0xaa385400, 0x5652b4c1, 0x8da1daed, 0x884c8105, 0xa3f00105, 0xb2c96f4c,
+    0xf30034ce, 0xd2e8e5e4, 0x1833fddd, 0xead77c5b, 0xc816b630, 0x8cfcb4b0, 0xdc19fc59, 0xcfc2515c,
+    0x2c741d51, 0xdea22e41, 0xba767d94, 0xac219659, 0x67a4d9c3, 0x9368a62c, 0xed9a4b31, 0xf6d1b6a9,
+    0x2ffe3737, 0x9b33d33e, 0xf5f69c5c, 0x40c56237, 0x7351546c, 0xcfc591b2, 0xf21ccc20, 0x2adaf6b4,
+    0x1620b2ca, 0x4cba3ea3, 0x869c3341, 0x97834a3e, 0x04f7a774, 0xd5cb08dd, 0x1a5dbc12, 0x51520dd7,
+    0x987b5900, 0x6fb5a014, 0xfdd219a6, 0x3bdad032, 0xd0e28bb1, 0x2f0e9721, 0xd9b4d921, 0xfcbf820d,
+    0x8cde0e47, 0x5e17b056, 0x3c8b6da4, 0x2b609289, 0x6f492b58, 0x2d7a8279, 0x24dbda6a, 0x46f54f8a,
+    0xf2aacac3, 0xaf121769, 0x4ccf2f52, 0x47981c9d, 0x3317ad34, 0x76cd3059, 0x0e2152e9, 0xa7152da7,
+    0xca41ec89, 0x8e50e7f3, 0xdd831bd2, 0x10737d31, 0x8ff6a7d4, 0x1d4a14e1, 0x77510a6a, 0x9f5a33a4,
+    0x259a0dfa, 0x65601912, 0xf3260fea, 0xd0c283f3, 0x24d0a2b1, 0x2ab3b1e4, 0xb908ed54, 0x1efe91c4,
+    0x32e096b9, 0xfbdb5dd7, 0xa4f6cdc4, 0x361a1cc2, 0xba5ae972, 0x6188f349, 0xac6fb32e, 0x4685b69f,
+    0x2f34488a, 0x6c142738, 0xf2a1f6a0, 0x7092de29, 0x499fd9f9, 0x43b6723e, 0x69077303, 0x8603f70b,
+    0xcc2ae222, 0xc7e81a78, 0xc973857a, 0xa3a4c95b, 0xc94af566, 0x2544dc55, 0xe417dec7, 0x0885bc50,
+    0xa8901549, 0xcd6aff03, 0xfe33f5fe, 0x4099b2f5, 0x04cba833, 0xaf617406, 0x0060b104, 0x4a0d03b1,
+    0xd39436a1, 0x54957446, 0x519027e4, 0xeb57ba7c, 0x3f5b64e7, 0xd5e88f55, 0xff67646a, 0x8d991e97,
+    0xc2f2f04c, 0x7d3a8ee3, 0x40230bb3, 0x301cd86e, 0x2b4aad6e, 0x91156f22, 0xd2ee0eac, 0x4650c840,
+    0xf7efeca9, 0x6cbc071d, 0x8316757f, 0x2ce28674, 0xd536bab3, 0x9418504a, 0xc80f5583, 0xe9fc27ff,
+    0x4dacb788, 0x975f1d98, 0xe58fe41c, 0xa9d89c42, 0x619d258e, 0xe99700cb, 0xf91de152, 0xf7af3847,
+    0x23ae9a05, 0x35965142, 0x1b9e1db9, 0xaea57537, 0xc43c3b56, 0x25a83278, 0xad8411cf, 0xac6c4147,
+    0xd1e79d89, 0xb2ad3a7a, 0xa552f1ee, 0xfd45a44f, 0x07d94c71, 0x5b9262ff, 0x8776b4e3, 0xd31a4686,
+    0xdbd0910b, 0x596d634d, 0xb73f130f, 0x283aeac4, 0x9067f385, 0x0d028c1d, 0x9fd138d1, 0x8124e5a7,
+    0xc122fa6d, 0x8349a3cd, 0x26d4530e, 0x7d405b55, 0xdda8087a, 0x73bd4924, 0x072e2763, 0x88f403f9,
+    0x46680238, 0x82162d79, 0x0a393e38, 0x4231f74e, 0x48bfeee5, 0xf1ccbab5, 0x906bb515, 0x37264c8b,
+    0xa34b8663, 0xa0372fbd, 0xa20c2f39, 0x8f9def48, 0x6cb8bf65, 0xb568157b, 0x2f43797c, 0xf99c7a84,
+    0xd73a0d9c, 0xf59c9dc5, 0x259cd02b, 0x78510cf5, 0x35f46244, 0xb1ea700b, 0xb8a20e82, 0xcaa81e8a,
+    0xe2232f1e, 0x642942cf, 0xd70d5b9e, 0x907bb0f2, 0xc0d88e55, 0x3246c92d, 0xff27582a, 0x2d2d676e,
+    0xdcd89d02, 0xe797ee34, 0x6d3f663c, 0x7980f819, 0x5cd03509, 0x1811efee, 0x7a77f391, 0xf30f116a,
+    0xfd549dd4, 0xb6357c4d, 0xa9aadae7, 0xfbad957e, 0x0acc4f9b, 0xd393c11a, 0x5e570529, 0x3138fd99,
+    0x8e33eb7a, 0x7892817b, 0x4195b09c, 0x378471df, 0x08dbf172, 0xc5a0ae8d, 0x4d25aad8, 0x6a426ff9,
+    0x03335342, 0xdaa9cc4e, 0x52935f2c, 0x49590b04, 0x5dfe5c91, 0x493c1867, 0xb63b9c3f, 0x2a77e90b,
+    0x011ef6d8, 0x017ae1dd, 0xcb6c66b7, 0xb13671e5, 0xb2d729d9, 0x75f46df0, 0xdfa0728f, 0x41639910,
+    0xa1f35868, 0xde5a9219, 0x513bd838, 0x67bb0c17, 0x897009eb, 0x83883b90, 0x37388cb7, 0xbb05477d,
+    0x4e06c699, 0xbc13d370, 0x44b36abb, 0x261a132e, 0xddd5ef28, 0x08822b0b, 0x851de1bb, 0x1a7b2276,
+    0xb29ea094, 0xdcecde42, 0x13f5adfa, 0x5be9fde8, 0xfa84ff95, 0xd9424edd, 0x626b552f, 0xccc01277,
+    0xe6f175b3, 0xf0ef6f4e, 0x6c61271b, 0x279bf600, 0xb9f832d2, 0x9da4cab7, 0x3f57eef0, 0x8006e202,
+    0x4082f7d5, 0x8ef8c69f, 0x73d439b6, 0x0a3d2cac, 0xd1b9b5f2, 0x4d37547e, 0x0de704fd, 0xb5fa2308,
+    0x125ff385, 0x153640b2, 0x11f65250, 0xb28ba679, 0x15e6a46b, 0xf80b08eb, 0x9912353a, 0x7b0e05fb,
+    0x58b23fa5, 0x6357cd74, 0x5eab2a90, 0x7f907677, 0x0808178c, 0x9512fe2c, 0x82a7b0fc, 0x34f5b0e5,
+    0x82cfd04f, 0x7d1a4e88, 0x93cbf5d0, 0xb5c942ae, 0xb0510483, 0x9e3c4384, 0xdb6e98f2, 0x8bd24984,
+    0x0d8581b6, 0xa92064a5, 0xd6dbd245, 0xc1b8ec9c, 0x7852aadb, 0x69e2fd4a, 0xf5d6f38a, 0x666f972a,
+    0xf9bad9e3, 0x880cbdbd, 0x299998aa, 0xf5643414, 0x658cbfe7, 0xc4175b5b, 0x16417230, 0x44a67abb,
+    0x50978d80, 0x97378997, 0x0dfdbeb6, 0x61faa223, 0xc9c543e5, 0xa6423925, 0x8a543e08, 0xdec41ec5,
+    0x4d33677e, 0xe18e7ffa, 0x67e8a71f, 0x30e435b0, 0x650cc09d, 0x24564630, 0x6c3b06ae, 0xcb46db99,
+    0xa420e51c, 0x09efed45, 0xfaca4a50, 0xf449d9f2, 0x8bfed5c8, 0xf3a389bd, 0x3bd147a3, 0xfc6f5d79,
+    0xdfc4a5d9, 0xa07703fb, 0xc5c36ff3, 0xded9bff1, 0xc992a603, 0xdb312909, 0xfbec2a64, 0x731715ae,
+    0x1959e833, 0x69bc3054, 0xa2540d4f, 0x2a0b037b, 0x0d80eced, 0xb34d5668, 0x8772687e, 0x0eed86dc,
+    0xfd8473ea, 0x6a328c97, 0xc71a04ef, 0x3f11db19, 0xc68c0fa5, 0x27e43a31, 0x1175f63d, 0x2339005d,
+    0x1f33fef5, 0xd1432a82, 0x789bc066, 0x6600cf63, 0xa07e719f, 0xd8579887, 0x0dee034f, 0xd4c344b0,
+    0x367bd66d, 0x3ac2d8d7, 0x8093e152, 0xc0523849, 0x7d25012c, 0x86afa5cc, 0xbee7dee3, 0xb1fd529c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000592\
+                         85549689505892056868344324448208820874232148807968788202283012051522375647232 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352,
+    0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020b, 0x9e167418,
+    0x00000000,
+    0xbf387490, 0xe47d345a, 0x3d7127ee, 0x36005f98, 0x1d6c5dac, 0x490f95a6, 0x5dce628e, 0x346aa4ad,
+    0xe38d978a, 0x7f6ec436, 0x0bf82230, 0x04bc38f9, 0x5f9cb294, 0xd032cab7, 0xeaf2a09f, 0x129fe680,
+    0x5b470054, 0x07ae8bdc, 0x8b98efc4, 0xc5e81ed9, 0x81357d78, 0xd5cfd093, 0x1a10364a, 0x16cbfa9d,
+    0x65bb15f8, 0x388b9fe5, 0xb0a4cc10, 0x55fc3210, 0xcdfe05cc, 0x136eca4b, 0x310f8c11, 0x9ce01330,
+    0x084602e7, 0x56054171, 0x20031378, 0x5179299e, 0xa92e6ea9, 0xa8322ea8, 0xa75312ef, 0xa594d31a,
+    0x9399d3cd, 0xbfc66c7f, 0xb586a198, 0x17e81793, 0x80f342d7, 0x4976c64c, 0xbeeb4e9d, 0x0c4d6ec4,
+    0x02ecf909, 0xf00559bd, 0x45ae20b4, 0x1eac0145, 0x6d2b399e, 0x738acdcf, 0x5a3424d7, 0xa466ab69,
+    0x623a5828, 0xccd90acd, 0xadcf1cec, 0x98bc1d09, 0xcbb0a944, 0xb8b48976, 0xa5273255, 0x7b0b1d1f,
+    0xa852cafd, 0x9c0ca0a1, 0x9331e597, 0x7a42c5e7, 0x4625dbed, 0x75316831, 0x04da000f, 0x161c6cae,
+    0xfd552cd7, 0xf8acf6ee, 0x0f435c44, 0xa9a75d6e, 0xe3c5b8f2, 0x96a0691d, 0xef937323, 0x0ebd12a9,
+    0x16fbf538, 0x232a7a39, 0x81a80e1b, 0x17b7b794, 0xdcdabcd9, 0x5378328d, 0xb864bf1e, 0x26fff370,
+    0x0498129d, 0x37622daa, 0x702b6e22, 0x87338a8a, 0xc9a31d58, 0x3199fc48, 0xe3288939, 0x6a94aabb,
+    0x788c3388, 0xda2afe7c, 0xe2cdc547, 0x5b383ac8, 0x1edebab5, 0x1c1eabbc, 0x41a4724a, 0x4672b3fe,
+    0xe0cb67de, 0x7a8c82a9, 0x5c0c94b9, 0x434e2498, 0x83560a3c, 0x489efdc1, 0x6f38cff7, 0xf8c9a577,
+    0xaee9d8f8, 0xedae4131, 0x9a6d22fd, 0x0cfd9a6e, 0xe65ef249, 0xbf5c4abf, 0x03ce28e7, 0x3a6ae6cc,
+    0x8cef2b51, 0x9f8b0124, 0x43a295f8, 0xe7943dd7, 0xff4329a1, 0x2f86be10, 0xda139b3e, 0x14de04f7,
+    0xf99fda3d, 0xaf652e71, 0x295d4fe9, 0xb089afb5, 0xd6dbb798, 0x5394486f, 0x4183066b, 0x73b2009d,
+    0xf22973d0, 0x44c071d1, 0xf194040a, 0xf8a356f9, 0xde24df62, 0x011d129d, 0x46490006, 0x246941e0,
+    0xbcbd74ca, 0xb2529ebc, 0x05805a2d, 0xba48805d, 0x5d656aa0, 0x1f8be3c8, 0x4f463890, 0x1d6c3571,
+    0xd39d9890, 0x88af27b4, 0x1c25b4a6, 0xea2ec66c, 0x0cf50e12, 0x43f01a41, 0xeb4dc17e, 0x6fa323b7,
+    0x8d4d8899, 0x11e72348, 0x8a5b7a3a, 0x2b0772d0, 0x1c3c67ed, 0x127cfb40, 0xaa291774, 0x1cf6638f,
+    0x8599bb0f, 0x1af86559, 0xa45b5224, 0x8dfcaddf, 0x9bd40837, 0xaabf67bb, 0x0868bf29, 0xe73e13ac,
+    0xe314ab4f, 0x445f3ec7, 0xc94a8dfa, 0x522271a3, 0x86f79f0a, 0x71f498c9, 0x8be78761, 0x1672a80d,
+    0x2374f807, 0x823beb8d, 0xb6b5c402, 0x37071469, 0x2bf324c9, 0xf0df58e3, 0x8bd68196, 0x61d4ec1f,
+    0x218271a3, 0xfe059c17, 0x77cdc243, 0x2feee64e, 0x68fb5eb5, 0xe2ff65e6, 0x2295eb87, 0x2a63a38b,
+    0xad1658e8, 0x9a5ae3ca, 0x65cf674b, 0x57b0ad42, 0x61f4a1ef, 0x54879866, 0x68375039, 0x0482c9f0,
+    0xf4e4e640, 0xf0ce4ba7, 0x59eff5b3, 0x1ff674b7, 0xb8c38a12, 0xe6f8a0b6, 0x6047b170, 0xe415582b,
+    0x5166b420, 0x9e73fcc4, 0x16cd08d6, 0x2d1df4e3, 0x9adc1a7d, 0xee57e4c3, 0x541fc5cb, 0x9a971db2,
+    0x949cc706, 0xffba09d3, 0x844a48e5, 0x877cdd4b, 0x9d311b01, 0xd4c91fa4, 0xd07937aa, 0xb1d9271c,
+    0x222eca3e, 0x0883489d, 0x5e5ac7c2, 0xc0e8f87c, 0xe74e51aa, 0x9fb2a35b, 0x76d80257, 0x1dbf5eef,
+    0xd722185e, 0x10466cd5, 0x1c5234f9, 0x8ff12817, 0xc4ed5e72, 0xc9264211, 0x748e014d, 0x30525071,
+    0xc7527375, 0xa8e49771, 0xddc582f4, 0x845c721c, 0x37eac1bd, 0x5ca1c3cf, 0x522b310f, 0x7fe8e585,
+    0x672d9149, 0xcdf965c3, 0x9d5827e3, 0x9d5a118b, 0xd487c90f, 0x41c3f66a, 0x955201ef, 0xf414cdc4,
+    0x5c584ec4, 0xd292c262, 0xbea86a9f, 0xd76752e1, 0xa567495c, 0xf98ebf34, 0x655d88ae, 0x6e4304b8,
+    0x8155cf38, 0x0e9fdf3a, 0x1139554e, 0x95d5e825, 0xc5906663, 0xe92176d0, 0xf51ed212, 0x558278c6,
+    0xbd39643a, 0x24573e07, 0x0fc7aa80, 0x3623c7b7, 0xb688215f, 0x66aaae91, 0xda0483bf, 0x1f575378,
+    0x9f7122ee, 0x04fa2aee, 0x86e84d6a, 0xe1317cd7, 0x52f63907, 0xae8624b7, 0x707bfb6d, 0xee877424,
+    0x9b18a11a, 0x2b6972f9, 0xb55d0e35, 0x83a45210, 0xf6800acd, 0x4af3ca84, 0x6064130f, 0xfa40d65a,
+    0xd5e95616, 0x3f23bfc6, 0x0ba4599b, 0x0de8c014, 0xb88703d0, 0xf076ed85, 0x08796f42, 0xf4ba1810,
+    0xd4a9710e, 0x561b7919, 0xf5ba3756, 0xb06ff1f4, 0x33f03c5f, 0x40ba9ed0, 0xb05424a7, 0x43ef0919,
+    0xd68264eb, 0xc2f6d380, 0xbef27039, 0x9a7706ba, 0x177da63f, 0x68be20a2, 0x028e560d, 0xd670f9e6,
+    0xb29332f2, 0xf2b6d352, 0xf7cc7ddd, 0x5976241a, 0x4b789e56, 0xf1295e96, 0xbb1afc03, 0x38b75ba2,
+    0x03f44930, 0xc17409ce, 0xecbed282, 0x32e3f79c, 0xd932f7f4, 0x8f948df0, 0xc9f0c9c1, 0x34a12277,
+    0xe63359c5, 0xe0b346cf, 0x40d3e1cc, 0x87413cc9, 0x926c4efa, 0x88e4fcde, 0x894ae33d, 0xefbf966c,
+    0x6414bdbf, 0xf2c74b3d, 0x2e831ffb, 0x2f8a5fc8, 0x965143e4, 0xa93e3039, 0xb703e0d3, 0xb2c637db,
+    0x3a3ff592, 0x7b1db3fc, 0x39927c34, 0xc9b47179, 0x299aab38, 0x76e3600d, 0x99cf1e84, 0xbede117d,
+    0x6885a2b0, 0x013f30e5, 0xf78d5e96, 0xfcb00967, 0xd4abb582, 0xd7728873, 0xad109029, 0x9b649759,
+    0xe2144189, 0x45b78432, 0x23f5a330, 0xfe3da18b, 0x64dd0a4f, 0xd2e55c89, 0x967025cf, 0xafb6938f,
+    0x2e916714, 0x4b307c35, 0xb1142b3a, 0x27ef1fbd, 0x1a01eb83, 0x6bf4d742, 0x867905f3, 0x31c6e739,
+    0x1da2ff24, 0x93b93de9, 0x0e33e023, 0x1a2987a1, 0xf17a671e, 0x10cd3062, 0x5e74204f, 0x4c99284e,
+    0x70f1ee89, 0x3da2ca3b, 0x741733b0, 0x1e82ba97, 0x7249dd33, 0xbcc5f69f, 0xef13313c, 0x48e9cdaa,
+    0x4f1609ba, 0xd885f927, 0xae1e1a6c, 0x0bc73af0, 0xe16a690b, 0xef528e1e, 0x71244b57, 0xc1565d46,
+    0x45408227, 0x99e171bd, 0x58d5acb5, 0xc7c33b35, 0x981021f2, 0x222c1fe6, 0x4b5fccaa, 0x372b314f,
+    0xcfce61e5, 0x61f212a4, 0x992c3d09, 0xd0aaad4a, 0xe42ce0f4, 0x15ff76a2, 0x0e956ad6, 0x97825114,
+    0x9dbc8e34, 0xba3f9d80, 0x3be67de0, 0x34bdf3cc, 0xa00f3086, 0xd70cf08d, 0xcffbfcd4, 0x6840d6ad,
+    0xa6730159, 0xc24e97f3, 0x0ed2fbdc, 0x8475bca6, 0x37f23377, 0x32a5d4a5, 0xcf6fdc12, 0x5ffa5fbd,
+    0xc796c204, 0xb4111223, 0xdd92b489, 0x3618c3ae, 0x03726629, 0x86a8e2dc, 0x9e663dcc, 0x42e01a65,
+    0xc8139769, 0xf7e113b3, 0xf6ace367, 0xb64de77d, 0xf67e9480, 0xbaaf4866, 0x9bf55f97, 0x709c7362,
+    0x28aa1d8d, 0x14491968, 0x25bf5d49, 0x2c4c8662, 0x70af875a, 0x1fe5fdcf, 0x74fb414c, 0x1ff782c2,
+    0x681b432b, 0x43441259, 0x8682f547, 0x9be9226d, 0xb8c6e0f9, 0x09777578, 0xac79f0e9, 0xf93efbee,
+    0x66377c22, 0x77160218, 0x8a3ce516, 0x314785c1, 0xac9895de, 0x673391d6, 0xcf4592dd, 0x86ba70ff,
+    0xd64569f9, 0x48624af4, 0x4e7f2d32, 0xefc95257, 0xfdaca627, 0x4d41cd67, 0x8c815ac6, 0xdc0660c2,
+    0xcf0fe483, 0xca01027b, 0x4e18dbc1, 0xb79bd217, 0xa3094da0, 0x859c8634, 0xe305ff43, 0xdfe55b96,
+    0x77399b1a, 0x5339f773, 0x6e85cd3c, 0x9db93988, 0x9aedf81d, 0x0ee5b707, 0xd99c5d6d, 0xf5dfb52a,
+    0xb9bc9e35, 0xe58b6a0a, 0x8167f35b, 0x342d17be, 0x8fba63ab, 0x9065ad85, 0x91c37995, 0xdf43fcd1,
+    0x73e0b65b, 0xf24d05fb, 0x2fa0f6f4, 0xc36b6633, 0xe3efc561, 0x6e753d5a, 0x67988947, 0xabcaabb7,
+    0x89057f17, 0x5634cd0c, 0x896fa945, 0xccfc2414, 0x3087f09a, 0x170d67b1, 0x2eaea873, 0xc8faae66,
+    0xc29d78fd, 0x7649010a, 0x17b32704, 0x4d49cd33, 0xe3d5fb75, 0x20fd850e, 0xddfe8c4d, 0x45527066,
+    0xa56cabc9, 0x61052e17, 0xa9999ec8, 0x98fe08f6, 0x6f0166f5, 0x16db5052, 0xdeb23e7b, 0x626204e1,
+    0x8f2dbf2a, 0xabbb3ed1, 0xc99cd0b5, 0x12f421f7, 0x68238f71, 0x3b8374a1, 0x2faaee95, 0x05cf5b43,
+    0x88244e9a, 0x2e72d42e, 0x2e79cfcc, 0xe4049fbf, 0x42d201fe, 0x673cdbf5, 0x52a240d2, 0xfd003f1f,
+    0xa7788551, 0xc5dd5d79, 0xbca3b5f3, 0x816f1a60, 0xb8e963a9, 0x64bcb25e, 0x8a054d35, 0x87c76e8a,
+    0x661c1d3d, 0x7ddc72a1, 0x9978847d, 0xc4dee65d, 0xeadf71d0, 0x537bba68, 0x7213834d, 0xacb0210c,
+    0x00395e4c, 0x323be67d, 0x4e7b4de7, 0x32773510, 0x44328e8c, 0x2d603db0, 0xa38b6968, 0xaa4b5989,
+    0xf320db20, 0xea4e092c, 0x44a9f362, 0x2e74f949, 0x8d84e8d8, 0x4b2141ef, 0x944347ae, 0x3970f7a4,
+    0x274c756e, 0x2a85a0b0, 0xb4bf546f, 0x4c271a51, 0x7f9a187b, 0x1fe5505b, 0x204986a5, 0x1b7cd935,
+    0x78440232, 0x16f5208f, 0x4e2adbb8, 0xef86ec8e, 0x15ffea9e, 0x7fef061f, 0xcf7426a7, 0x33d8c76a,
+    0x5f85baeb, 0x0573c587, 0xc6304670, 0x53c550e1, 0x92cf1399, 0x9fdd78ea, 0x43359824, 0x9fc53c4b,
+    0x32b7f971, 0xa0c8bc2a, 0x43c93dc4, 0xd52accb9, 0x2d5b148d, 0x99565a56, 0xe09606fd, 0x1395e0d9,
+    0xd917bdff, 0x0b2fc060, 0x60df24f8, 0xc62fe31c, 0x013a08eb, 0x53d70e7d, 0x49e67790, 0xba80dabd,
+    0xf6db7d70, 0x30fd8459, 0x28b4fa7e, 0xd1e9dc32, 0x8a8812c1, 0xf9ca657e, 0xb97da32b, 0x29fc3145,
+    0x7f746a5a, 0xcf7029ad, 0xedd5bc7b, 0x5aa3db39, 0xe875c9eb, 0x32ebf3b7, 0xe9463d05, 0xb55146c3,
+    0x3806909c, 0xf463ff0b, 0x3c5b1cf5, 0x15a3d1d9, 0x6821fc3f, 0xd1159c19, 0x4c86aac9, 0x4eff4ca2,
+    0x278081f7, 0xfcfada78, 0x51424c7f, 0x3f58de2f, 0x5ffe7b53, 0x23d0c42e, 0x7ed64794, 0xfeb3778d,
+    0x7bae3ced, 0x19b7f114, 0xbd502594, 0x826158ed, 0xe4973153, 0x32404491, 0xd4dd7dea, 0xca006291,
+    0xf2d5a58e, 0x6284ee70, 0x1a5e3396, 0x8fbbae9e, 0x48ab8bb6, 0x9c4ab964, 0x81f3a4aa, 0xb979df60,
+    0xb27d557b, 0xbb2d686a, 0x7f6a74e1, 0xbbdf0fcb, 0x66c08097, 0xde3c7618, 0x8f831aca, 0x47102ddb,
+    0x3365c47c, 0x43c144fb, 0xd482d9bf, 0x2111c891, 0x30c33fa8, 0x4fb8919a, 0x35f9b06a, 0x638ab7e3,
+    0xbf0777fd, 0x2aba5d50, 0xcf9a58b9, 0x55cd4409, 0xeff2e224, 0x85c26d03, 0x1d5eb2d4, 0xf1faf6b9,
+    0x1ffac23c, 0xa9d29010, 0x80d43720, 0xd35f751b, 0x8c66d053, 0x23629ad0, 0x1eeb0aa9, 0xe5d44e9d,
+    0xfafaff99, 0x474e78f1, 0x0d9fe26a, 0x0b9b0a47, 0x5cd3c1c6, 0x96c145e9, 0xfa8eb717, 0xdfea5b6a,
+    0x5272f901, 0x2dd67998, 0xa782b3c2, 0xeddfa063, 0xc4304d64, 0xc7733fd5, 0x9d67dd4d, 0xbbeedddd,
+    0xaff2e910, 0x85fac2e1, 0x9372a3f7, 0xdfa2562e, 0x29728447, 0x7ca066f1, 0x6b26059c, 0xbd38c12e,
+    0x8f1512bb, 0xd4eea7f4, 0x35815ff4, 0x2b77d5eb, 0xd76c7a1a, 0xf1c8d1dc, 0x26ef4bf1, 0x85000aa0,
+    0x1407efdb, 0x440fd5a2, 0x96961a0d, 0x23190a78, 0x8b236850, 0xfb07fdff, 0xa912239d, 0x062857be,
+    0x740744c3, 0x11ff97e3, 0x070978be, 0xc1f4c5c4, 0x6466301b, 0x4a2ed22d, 0x9cfd810c, 0x6ebab45b,
+    0xe20d3a2d, 0xd9035ae9, 0xcc0f77e3, 0x6d9e1a97, 0x5aff7679, 0xd5c36d0c, 0x6d9f5f4b, 0x84b66943,
+    0x4abdaaf4, 0xab17a519, 0x39223e6a, 0x044d6045, 0x706a4e3e, 0xe4e0a292, 0x64b171d2, 0x7e988527,
+    0x075ea626, 0xf89c7821, 0x3ae71939, 0xc7f40e6a, 0x4cc7593c, 0xa66eecbe, 0xc8145623, 0x4f069e8a,
+    0x94e9099b, 0xbf9a3980, 0xb39024ad, 0xd150c9db, 0xe6d24678, 0xc4736140, 0xea8e6129, 0xe611da48,
+    0xef2b41b0, 0x7e3244f5, 0xcd5e047e, 0x8125c28e, 0x5cad371f, 0xc4ed8a84, 0xee0fb66c, 0x90cf362d,
+    0x5499edeb, 0xd40ddf55, 0x5ebfb3c5, 0x367dc07e, 0x5a5a10b2, 0x611f4f95, 0x07aaf88c, 0xe2740ce3,
+    0x2637eda3, 0xcc0f0402, 0x4e2c2677, 0x1162d1d7, 0xca2aab67, 0x6f63ebd1, 0xb400b55e, 0xd407ca5d,
+    0xc6c979fa, 0xace7b26e, 0xa876d2b1, 0xf573f9c4, 0x9ec5e2c3, 0x1ccc6e9e, 0x673fed17, 0x03431460,
+    0x8b5bff7d, 0x38efa775, 0x88acbf2d, 0x614f2631, 0xb730ae2f, 0x94320394, 0x924df289, 0xd14a599f,
+    0xfe462f17, 0xa43287b8, 0x88b865dc, 0xa2f18840, 0x72d2a0c1, 0xb687a519, 0x52869526, 0xd5a1b1fa,
+    0x6b3cba44, 0x6860d1d6, 0x8f9d1a1e, 0x0fe3c376, 0x1b6cd418, 0xe769c835, 0xe793cfbb, 0x00af659c,
+    0x2c41c356, 0x71bb104a, 0xd6e5a6e5, 0x8d265e58, 0x758bc737, 0xf13d960a, 0x3007fa06, 0x3575db6c,
+    0xc93b0c3c, 0x0a4b3d5a, 0x8c1c5c38, 0x4328120e, 0x787b60bf, 0xc8519c68, 0x4e8a889f, 0x966bb974,
+    0x6cbb34fa, 0xcae6e940, 0x79045111, 0x54c2ded6, 0x78cb02cf, 0x7ce0dab0, 0x98957b03, 0xa981da00,
+    0x6c53abd5, 0xdb2d64b5, 0x2f8e4040, 0xd671b59c, 0xec2af06d, 0x3b6a12a4, 0xbe502ebe, 0x7ca6aab0,
+    0xa6e6c48a, 0x6f63a344, 0xd4a22fbd, 0xb1d004f6, 0x621135f6, 0xb3948c81, 0x6c6d8d72, 0x6db78e7a,
+    0x71301569, 0x95eaf227, 0x76b1cef9, 0xf1696188, 0x3fa0652e, 0x9d63f1f5, 0x1deec364, 0x0af52c46,
+    0xbd673902, 0xfb1817c6, 0xb1d9ec22, 0xd3de60d4, 0x4941c483, 0x100b7041, 0xd9b7907b, 0x492a7a7b,
+    0x7ab77a0f, 0xadd9d5aa, 0xe450af89, 0xb21d0641, 0xc7f8371a, 0x4c8dfe4d, 0x34bf15fa, 0x2cbafdff,
+    0x0da6e811, 0x1d034850, 0xb37e2874, 0x09c201ef, 0x93a6af3d, 0xc958188b, 0xe1aacba5, 0x2237a575,
+    0x570343a7, 0x28be099a, 0x6457d391, 0x8c8fb274, 0xb68c6f88, 0x411763d4, 0x41716336, 0x7a210201,
+    0xa45b6507, 0x5dee852c, 0xdd45f55c, 0xb1487cc3, 0x7c091f83, 0x745ee536, 0x7cfbb4a9, 0x43441212,
+    0x33d278a0, 0x4c5031cb, 0x8773f3e6, 0x8f3b2039, 0x059d6c78, 0xc2ca2d4f, 0xfaf2947e, 0x379d1f12,
+    0x613747e8, 0x46c11961, 0x1791c4df, 0x1c941799, 0x7fc5e668, 0x412eb8ca, 0x2e9b6f81, 0xa6632d0a,
+    0xab42147c, 0x0501496a, 0x63b700ee, 0x0715305d, 0xae5449e8, 0x75708765, 0x755a1c71, 0xf9fd7b9c,
+    0x0948cd77, 0x53d1d00c, 0xad1f6efd, 0xd9192c1c, 0x11a7b2b8, 0x5f4f9b8f, 0x6b3afae8, 0x87e792fd,
+    0x1d6b54f6, 0x4ba41962, 0x1593f236, 0x6d55248b, 0x3295b028, 0x3e4b5018, 0xb245d92a, 0x76638a37,
+    0x484e1619, 0x3cc25856, 0x401e2c13, 0xc4a69dfd, 0xb8cb4d65, 0x750174f1, 0x22d72d21, 0x526439cd,
+    0x39830fb6, 0xc2595abc, 0x182e037a, 0xf80724d2, 0x0b00074b, 0x7cfcb574, 0x1b119ea7, 0x32b1062a,
+    0xc390b569, 0x32aef032, 0xc798b2a1, 0xcee93734, 0xdb0f2836, 0x4d16b096, 0xd78e048a, 0x22a475a5,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000296\
+                         42774844752946028434172162224104410437116074403984394101141506025761187823616 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9,
+    0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590105, 0xcf0b3a0b,
+    0x00000000,
+    0xdd40843b, 0x5f46d35a, 0x9fe49933, 0x57059bce, 0xa5169c7c, 0x4b0ba66e, 0x6c395b86, 0xba077dab,
+    0x1203f33c, 0x0a863818, 0x3c3cf81b, 0xd39fdf1c, 0xbe92ca69, 0x240c2489, 0xa336901d, 0x30b28540,
+    0xf916814b, 0x430c7cc1, 0xd2c1737f, 0x03015fd5, 0xabc1d82f, 0x1eaace50, 0x7a644030, 0x165ec0e1,
+    0xe79c21e4, 0x617ab61d, 0x3a17c980, 0x4f5ffce7, 0x4b84c536, 0x9549d411, 0x6fe56230, 0xb72e61db,
+    0xcda422e8, 0xe3d6e1ca, 0x85410a81, 0x9a373ac0, 0x39f1c9b2, 0xca099212, 0x0c5abfec, 0xa6387a9e,
+    0x1f4ef2be, 0x4af34b86, 0x3c06e62b, 0xac00e2b5, 0xe4e9e38b, 0x98ac6b95, 0x0037b320, 0x5733e941,
+    0x2458cfec, 0x87e5a656, 0x0976c370, 0xb48255f1, 0xb8a5626b, 0xfe7072b3, 0xc91bef15, 0xc26cb0df,
+    0x15fa3474, 0xb9df94f2, 0xf025aa66, 0xbd5c3eca, 0x9f5efedf, 0xc90be0dc, 0x452f892d, 0xe62cf6d0,
+    0x759c0a2e, 0x99df77ee, 0x8243af5f, 0xfc2132b1, 0xff567aca, 0xd45efcc8, 0x00544f87, 0x9e054da3,
+    0x2c0eef4d, 0x83ee9530, 0x9c265dbf, 0x8050bab3, 0xb2e1c4ef, 0x161a1f6a, 0x2a00de49, 0x5faf818a,
+    0x225ddc2d, 0xcd083d43, 0x420c559b, 0x436933a3, 0xb9743963, 0x5b9f8fc4, 0x60334db3, 0xaf938d4b,
+    0xfbdfc461, 0x0681bb1b, 0x479bde55, 0x6e36957a, 0x3ab38842, 0x7abc1ba1, 0x97a412f3, 0x141fd6c9,
+    0x87d8fe0c, 0xe89b8452, 0xeb9155be, 0x30cf9b5a, 0x96b4e782, 0x18900d25, 0xe4f46d9c, 0x92b8c4ee,
+    0xa9828a64, 0x26e1d79e, 0x4d9e3bcc, 0xc44f86ee, 0x7d6bf5ab, 0x855f69a7, 0x575f0dff, 0x68d2ed3b,
+    0x73273787, 0x8cbec540, 0xd4fda824, 0xf1962111, 0x8f2588b7, 0x90280a01, 0x4c4d2695, 0x60cc70aa,
+    0xe80c9d30, 0xed2c131d, 0xc76134d1, 0xafc76433, 0x319068ff, 0x98c393cc, 0xf6709356, 0x9d947e77,
+    0x1c3cb727, 0x05245886, 0x32df503b, 0xd6a98ba7, 0x2511ca40, 0xc4dc7626, 0x1b60748d, 0xd2d7a72a,
+    0x56741f1f, 0x4b6f69a2, 0xcd6e87c4, 0x34da5cca, 0xb868b16a, 0x12c7e64c, 0xf0e91dcb, 0xafd2ab4e,
+    0x3429524e, 0xc15a2721, 0xecf5e052, 0xb6a42708, 0x40c333a9, 0x2f15f096, 0x0488971c, 0x615339ad,
+    0xb5dce696, 0xe6744aca, 0x15006f4a, 0x76dce3a3, 0x8b57e636, 0x1ff85ea4, 0xa2a55488, 0x6f9c88d3,
+    0x54a44c99, 0xc1f86bdf, 0xb171ac91, 0x77486490, 0x3f01af74, 0x3a421a83, 0x4db7e1fb, 0x3ba1d8bb,
+    0x1b886db0, 0x17c36577, 0xeccce93f, 0xdb11078f, 0x016974bc, 0xf0de79b6, 0xca69427d, 0x6278cf01,
+    0x38d4e2ed, 0x633103c4, 0x512dafe3, 0x3a505b88, 0x5d8f099e, 0x0c55859b, 0x20a6f768, 0x22d1124e,
+    0x8302f5fb, 0x77a3b49f, 0x86fd1390, 0x77533a24, 0x27e4b144, 0x1a9e1f07, 0x7a2bb644, 0x15c968f5,
+    0xe850ed7c, 0x7676134e, 0x9cb1e168, 0x4fe609ef, 0x4e80acde, 0x60ba71d1, 0x3099e368, 0xca738a6b,
+    0xe20ed78d, 0xb20596fc, 0x7177b7c0, 0x03250134, 0xce810494, 0x59bcbb5f, 0x66cc75ea, 0x18223d19,
+    0x5a034b96, 0x48f9754e, 0xc1354ec2, 0xdab53187, 0x922ad250, 0x89f951c9, 0x9b758b2a, 0x4a39fea6,
+    0x7f83d1ab, 0x3eae2562, 0x1372be49, 0x601aeba1, 0x6bc090e3, 0xef8416be, 0x2a364bd9, 0xd12078aa,
+    0x51ae4fa8, 0x061995aa, 0xf0c66927, 0x2c73a373, 0x0567c459, 0xdaefe64d, 0x3efb8936, 0xfa28a6d2,
+    0xba7ded84, 0xe1dd044e, 0xbde188e7, 0xe1860c8c, 0x4296b32a, 0x96e88c1e, 0xf096819c, 0xb5310bb5,
+    0x600668f2, 0xe223d736, 0xb341d6e8, 0xc189546f, 0x80dc8ded, 0x9b310d5c, 0xd7c29105, 0x643bbe11,
+    0x45b7436f, 0x6f4ed060, 0x7125b323, 0xaaa59ff1, 0x5de70d1e, 0x4efd8187, 0x22811236, 0x39d5ac4e,
+    0x2c5f628c, 0xede66d96, 0xe23d1718, 0xf08d9eac, 0x64d1f931, 0xd9bc7f87, 0x70b05f67, 0x6c7090e1,
+    0x88c43bbb, 0x516b14e7, 0x91cd3764, 0xe8f535eb, 0xb439f3e8, 0xdf002a4c, 0x3e5e5ba7, 0xfacb18fc,
+    0x1fc29cad, 0xbd2f4251, 0xe35c5b0b, 0x4c784d86, 0xd1fbb2b3, 0x994ac1d6, 0x349f131b, 0x71367d6f,
+    0x48f8dd24, 0x022c1eae, 0x9c8d2045, 0xaabe396d, 0xe7034c9d, 0xef649e38, 0x02385a43, 0xcbb7998e,
+    0x4e712eb1, 0x912d2e0c, 0x1b57e43a, 0xd412c6b1, 0x5bdbaebe, 0xd77919fa, 0xd1bae1e2, 0x2f72c5db,
+    0xdaefc9de, 0x50ebe8c3, 0x2dc99152, 0x6e988443, 0xcdcf006e, 0xa3a964c9, 0x17d3cfca, 0xb88d9644,
+    0xd7ae6fa0, 0xa307453a, 0x392af242, 0xe6f906e9, 0x8e4d40a7, 0x6d51ac44, 0x7fbe9eba, 0x9e423f3c,
+    0x6cec23e5, 0x7ed21665, 0x2bca5398, 0x84608dec, 0xea95ad71, 0x86a4f874, 0x01b4c646, 0x4d8bd059,
+    0x6882289a, 0xcd92c2bd, 0x5282b1a0, 0x2fd24af2, 0x825aa55f, 0x8b563647, 0x66c95966, 0x52ff623c,
+    0xa424ee6b, 0x66482d6e, 0x72abe6da, 0x9e2148f9, 0xabc74b50, 0x4be4076f, 0x1b468415, 0x283fbf7d,
+    0xd53d769a, 0x4cd1761a, 0x852b7e8d, 0x61629ad8, 0x1c0724c3, 0x57e2f5fc, 0xb24926e7, 0xd298eb30,
+    0x68100fba, 0xc928e69d, 0x775b06c3, 0x1fddd1be, 0xd842de9b, 0x80634613, 0xe77d2267, 0x248eaa41,
+    0x79b15302, 0xd73cae78, 0xea836b3e, 0x8bd4c604, 0x144b89cb, 0x6dc3ad8a, 0x0b022928, 0xa3d02577,
+    0x295b31cf, 0x0e5f8601, 0x60e81158, 0xbc1c871e, 0x7064da53, 0x1b91fa5c, 0x12de0948, 0xb0fb898b,
+    0x6b67ec80, 0x00585ca1, 0xaf18be03, 0xf31f8385, 0x08a751b5, 0x97a4312b, 0xef79e94b, 0xbf7f9b50,
+    0xe886934d, 0x3ce499c0, 0xcaf58753, 0x9166e957, 0x7ad8c5c9, 0x177a9c04, 0x938dc4ce, 0x9ba6595d,
+    0x90527f69, 0x9454c656, 0xc5512a2e, 0x96731221, 0x8fe2a5de, 0x17cc7e76, 0x04231c72, 0x67a480d0,
+    0xaa2c4ad1, 0xa99e6b7f, 0x42fd1769, 0x32751279, 0x5d9175ec, 0x23c7b1c0, 0x94b07d0d, 0x2f576de4,
+    0xb0dda4ca, 0xf8d58085, 0x548c50f8, 0x15e33816, 0x9df23243, 0x22524077, 0xc8ed527d, 0x10ffc859,
+    0x6c368599, 0x5325e139, 0xb0f5a2d7, 0xcd2eef24, 0x4993e4fb, 0x8d641086, 0x2dd52564, 0xd2734d3b,
+    0x893751f6, 0xe7dd8de7, 0x6110bd1d, 0x85c8afd3, 0x8e0589d1, 0x52a130f0, 0xc911404c, 0xf1f3c8b4,
+    0x19999323, 0x0edaefde, 0x4fd39a19, 0x9d1b9ea1, 0x0d076c8a, 0x1c073b42, 0x89517b2c, 0x909547fe,
+    0x69ee8a72, 0xeddf7a5d, 0xab2ef550, 0xda872df1, 0xccdc6c19, 0xd519eb8d, 0xe22a1f4e, 0xc1531774,
+    0x16da70d0, 0xd0b7533b, 0xf116fa33, 0x55cb8408, 0xc178955e, 0xee462695, 0x70a9c562, 0xc3fcfff9,
+    0xfab9e78c, 0x9d1e4811, 0x5437afe2, 0x5dda6eb0, 0xac832dbb, 0x9af45783, 0xf03f1fb6, 0x6362d955,
+    0x2eed4c59, 0x2b37d8a0, 0x2ec2557a, 0xf586ed0b, 0x121eb6ad, 0x7778e29a, 0x8a8410c3, 0x79cc2f75,
+    0x267b5212, 0xa3f6fec2, 0xd1f83c91, 0x58428fc0, 0xbfc5a232, 0x560779a9, 0xeedfdc02, 0xf8e44249,
+    0x676ebe13, 0xec13d89a, 0xd6ac2915, 0x2fc34803, 0xd78a1aba, 0xa43ae95a, 0x3823bc62, 0xf13ecf9c,
+    0x6e66205a, 0xbe1a2cdc, 0xb127bac6, 0xa3abf9e1, 0xdb0815c8, 0xe9d7ae8c, 0xf9421183, 0xf5cc0dcd,
+    0x3b0bfbcd, 0x9dd1bb31, 0x2f4a3889, 0xbce36d44, 0x43483164, 0x0203b462, 0x7438cb66, 0xd1531c93,
+    0xa824a926, 0xde14bc79, 0x698176c7, 0xed867028, 0xb018d32e, 0x65d1c00b, 0x8f18331a, 0xd5084cb4,
+    0x7ceeb30e, 0x0de51041, 0x137f1f70, 0x56b737d5, 0xbd5eef59, 0x12d2f973, 0x0291704f, 0xa297bbda,
+    0x339234aa, 0x39b60f34, 0xe55f12f5, 0xb8243479, 0x615c59fe, 0xed76e585, 0x78dd4e73, 0x66f65e43,
+    0x98c4ebb6, 0xa8e1d919, 0x50f5d556, 0x1ddc2c01, 0x52eaea4b, 0x8c5a928f, 0x6369935a, 0x8f70a2e0,
+    0xb6148979, 0x65443521, 0x692475e8, 0xea0c7501, 0x4ec77b91, 0x0efc9f58, 0x656acc64, 0xd7acc90f,
+    0x13fe597d, 0x886b2d8d, 0x12871e29, 0xbd3e56cc, 0x2b9e6c17, 0x77d1c468, 0xe90a5c96, 0x42cf9d1d,
+    0x14e79283, 0xaf23340e, 0x95c97d0f, 0xa273d476, 0xeca8e22a, 0x4c799f4e, 0x77dddae8, 0xc784d218,
+    0x4494e30b, 0x51d8ae2d, 0x8b03c593, 0x8a22f71e, 0x09a6f4ed, 0xd025bcba, 0x60ff903c, 0x91996462,
+    0x74b35c9e, 0xcedd6a98, 0xb937279a, 0x08eea52f, 0x0dba688e, 0x14fb1325, 0x08db7fcb, 0xe1c6e8a2,
+    0x8d18841e, 0x17ea5473, 0xb73f8944, 0xf0a15e5d, 0x7fbb598b, 0x23ee26bb, 0x10a17827, 0x36d9488d,
+    0x4915d870, 0x115805b2, 0xabd6c23b, 0x9951fc34, 0x84a23100, 0xfe707335, 0xe9edce4c, 0x4077a081,
+    0xb9683c47, 0xcc6d0aef, 0xe8e2abdd, 0x1721f16f, 0xea159c18, 0x018a7759, 0xf3b422d5, 0x3bc8dd58,
+    0xa3f8d78a, 0xd64ef534, 0xa00f4c22, 0xcbd62669, 0xd9c61b17, 0x8132824b, 0xe3d59d64, 0xdb675beb,
+    0x135ef9d5, 0x4665e10a, 0xe4a83b33, 0x7ade57d3, 0x62989d8b, 0xb85ea856, 0x3f7e58a4, 0xda3c3944,
+    0xbc41c80e, 0xc50b9a67, 0x6f11c087, 0x96f45868, 0xb3bf5d16, 0xc1a12a2e, 0x9bfd295f, 0x2ce7c7fd,
+    0xed36781d, 0x6ed95291, 0x6c19e551, 0x615590fe, 0xc191b072, 0xcd2758d7, 0xb9a656c0, 0x3e7430f5,
+    0x6ee0d17c, 0xf91fc9f7, 0x0b02b808, 0x2bf1b635, 0x2da81beb, 0xe52f1d6f, 0xf5608f7a, 0x2e1b688e,
+    0x411baf2a, 0xc4a829b8, 0xaf90cd42, 0x4f902a89, 0x8119d846, 0xc832386d, 0x66b2b1af, 0xcd211e93,
+    0xb11fa139, 0xb01fcafa, 0xfa27492d, 0x3774ac85, 0xbac0731c, 0x27bacee3, 0x62902a87, 0x9eb9e3e0,
+    0xb0b9ae5e, 0x017a6fdd, 0xb0f6be2e, 0x541b64d9, 0xa571cba9, 0x9f6d1c65, 0xdbcb8d99, 0xeeebd708,
+    0x4e7bc155, 0x6eccc93b, 0xecb50362, 0x3377a032, 0xd7231021, 0x09d3f0b7, 0x88962c2e, 0x2b6d7126,
+    0x76ac05c3, 0xee952c49, 0x95e5a217, 0x035899cd, 0xb63a511a, 0x15c48ac2, 0xbe5e8b03, 0x4f7e86e4,
+    0xd0894c2e, 0xd57934a8, 0xfadc8e91, 0x87861259, 0xfbfd1f01, 0x65895787, 0xa0bb51ca, 0x869878ca,
+    0xc0204bf4, 0xbca4d6a6, 0xa5107407, 0xac4ded63, 0x52619c2b, 0xacd53788, 0xfc16c5ff, 0x2ad71443,
+    0x0c33ed20, 0xbe616f8b, 0x960d6f9f, 0xd8e5ea96, 0xe4890ada, 0xa8ec924f, 0x1c950027, 0x2cb57dcd,
+    0x3c541a4b, 0xb02b76d1, 0xf4834f0e, 0x8821e300, 0x8c5aaa6a, 0x466956ad, 0x029823de, 0x031b3986,
+    0x33e2669b, 0x0e4336d1, 0xb54267fe, 0xff95b392, 0x57357dce, 0xdf7063f1, 0xe815a661, 0x3a456c2e,
+    0x77f57fbd, 0xab95abd5, 0x240533d9, 0xe2c0c609, 0x1ff3793b, 0x6c2afb53, 0xa1c77757, 0x32e5d944,
+    0x94a86e46, 0x6f040f1f, 0xef0c803b, 0x0ae86354, 0x0f152da6, 0xadf299b2, 0x9a471e4f, 0x6e911dd3,
+    0xd11092ae, 0xd2f4104b, 0x81717978, 0x19567fb4, 0xc336d8de, 0x3cac9d09, 0xd4bfff8b, 0xc482baee,
+    0x4bed77a7, 0xe27c65ff, 0xbc671b5a, 0x91e1906b, 0xaaddd165, 0xa1824565, 0x68a51733, 0xba1c21a7,
+    0x96f9ec95, 0xba5242a1, 0x98382ac1, 0x47575e77, 0x1db5a3cc, 0x086c002e, 0x722959d8, 0xcebe797a,
+    0x2044e8da, 0x06bca181, 0x97c59abf, 0xbbc3fbe3, 0xfd79d24d, 0x98b7e4e6, 0x34ca5221, 0x278f744b,
+    0x628a5ead, 0xb14c0a96, 0x7af0891c, 0x31e62d4f, 0xe99ef475, 0x5209863d, 0x3718d05b, 0xd7f78796,
+    0x47d96464, 0x1773a55d, 0x4f500d63, 0xf52fb0c4, 0xd80cf82c, 0x5472679e, 0x9e44387b, 0xb6ad496d,
+    0xd576ecc6, 0x10d2f9df, 0xaeebe265, 0x88f2accb, 0x5b6c0142, 0x0c9adfd6, 0x260e2053, 0x7260bcea,
+    0xe1733610, 0xdb77a524, 0xa12b345a, 0x89109237, 0xd597ba6a, 0x310eb1be, 0x97633e3f, 0x4575332e,
+    0xeb5be53b, 0x9d44d4f7, 0x4882c78e, 0xc9a517aa, 0x053a709b, 0x3968b20a, 0xf596f909, 0x00809943,
+    0xb5fc66e3, 0xe4ef6a20, 0x1c9a0931, 0x0bcb2ed9, 0x34739f69, 0x951987a2, 0xc8552635, 0x3604f34b,
+    0xfa297542, 0x01e56def, 0xb9f62069, 0x216a26e1, 0x8fe7e72c, 0xf8efa848, 0x45f8e82d, 0x62a21e27,
+    0xcda263bc, 0xadcd8d78, 0x81bf36c1, 0x2b1ad87d, 0x0b193d16, 0x932a5104, 0xd0340452, 0x1e53e017,
+    0xe4d01a70, 0x747a065e, 0x9cd5fbba, 0xb8c964be, 0xd27c28de, 0x140ddc61, 0x607014ef, 0x08ea8118,
+    0x29697213, 0x2ee356ca, 0x53437e7d, 0xefebe179, 0xce40e38d, 0xedc22607, 0x4839258d, 0x6450ade1,
+    0x095fda32, 0x0cf45318, 0x7c3ce126, 0x81c35a6e, 0xa668b90e, 0x43b5dd67, 0x58ea6c3c, 0xaa38c083,
+    0x0c832eba, 0x64ea2384, 0x1b571974, 0xb3f89463, 0x42ae4a80, 0x8e108a94, 0x6fc381ee, 0x8894522e,
+    0x3e0c0b52, 0xf3b61dad, 0x05006cc7, 0xf7e15481, 0xb4036671, 0x1ab59a95, 0x5f0f7c65, 0xc4bb9f6f,
+    0x74194b07, 0xbae4c72b, 0x0c915489, 0xcfed1b38, 0x50e9a142, 0x11358285, 0x38b8219f, 0x38b09915,
+    0x6f8f6aa6, 0x14e80772, 0x7e498c52, 0x6848df8e, 0x0920ce07, 0xf9d326cb, 0xfe710381, 0x986416fa,
+    0x6db20325, 0x4401ec10, 0x404280d8, 0xcd09f839, 0x169e3666, 0x2209d8bd, 0x94728595, 0x42bc4f8f,
+    0xcda78ced, 0xd3f2cce2, 0x79e5db3b, 0x451f8569, 0xb769f16b, 0xcd9f4474, 0x9e73d249, 0xdd4fe645,
+    0xaf7d8d5f, 0xbc579130, 0xfcefa772, 0x64b33382, 0xf4511481, 0x62b746e7, 0x0d04a001, 0x11462985,
+    0x948b5d06, 0x85fefce2, 0x1b424a9b, 0xd097ed3a, 0xd7b122bf, 0xe50c6077, 0x2df5953b, 0x60fa0a7c,
+    0x1cf09a21, 0xde47cf45, 0x3155f109, 0xdb18a8f3, 0xf639055e, 0xdc321921, 0x47369000, 0xa5857feb,
+    0xa8c04701, 0x3c3fd74f, 0x62534291, 0x2a4e2d2d, 0x6f506702, 0xf0c16086, 0xf2e779c2, 0xb611dd20,
+    0x6796dbfc, 0x5cd64fea, 0xcd908f30, 0x852245ea, 0x3cdc342d, 0x4bb5994a, 0xfc48378a, 0x21c04ecf,
+    0xebcb67f8, 0x21136e9c, 0x082d9e4c, 0x487dedf7, 0xa78b030a, 0xb6464669, 0x2b4ef600, 0x22f2460d,
+    0x1faf5790, 0xd361bb53, 0x008f1d59, 0x519801bb, 0x251528af, 0x66b021b9, 0xe7d6015c, 0xb73fffe9,
+    0x23937073, 0x44c03892, 0xadf6333c, 0x7b0d41b0, 0x43fa2636, 0xdf4825a6, 0xc6cbf280, 0xaf267ab7,
+    0x733bf729, 0xb0f370b2, 0x6a440e1d, 0x8194965e, 0xee87251f, 0x0b27a0b4, 0xbfe01de7, 0x3a0a3181,
+    0x0e3b039f, 0x0ce84587, 0xba35fc72, 0x11c933f4, 0x39d04393, 0xe20495b3, 0x9809e9e2, 0x14d63fb7,
+    0xf09a1bfb, 0x59b41fbd, 0x37224e6c, 0xf9306253, 0x8c7156c0, 0x57fcfa24, 0x72724fe3, 0xe20f5a66,
+    0x70de67fa, 0xb1fe91a1, 0xe6920d85, 0x6cc2cf0a, 0x78a0141b, 0xc0f38f33, 0x1d5ded0a, 0x751e7bfc,
+    0x2023992f, 0xe6365710, 0xb2441876, 0xcafed9fd, 0x849a771d, 0x107a3ab8, 0xc380e6df, 0x8ee21407,
+    0xbd622989, 0xff5cb343, 0x708a40f6, 0xb5cffc69, 0xc983eb19, 0x6ecf9a17, 0xe637d8a1, 0xe3f12677,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000148\
+                         21387422376473014217086081112052205218558037201992197050570753012880593911808 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4,
+    0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8082, 0xe7859d05,
+    0x00000000,
+    0xa84946f6, 0xf6300420, 0x7b877ec9, 0x0d4c1295, 0x8b0c14e7, 0xbb91fd55, 0x54f22b3d, 0xfd4e511a,
+    0xd7f5d453, 0x27f0a0af, 0xb9a10252, 0xa056b62a, 0x5299fb64, 0x2655d7b6, 0x9e4b7ab2, 0x406aeca0,
+    0x172a322b, 0x1f932bb8, 0xe8fa270f, 0xe1829c75, 0x445a2022, 0xd13955bc, 0x52898b2a, 0xb3f64ffe,
+    0x0596d29a, 0xd6e9b7a4, 0x80de6369, 0xdc97674f, 0xc271a941, 0x5183eabf, 0xc4d2b7e2, 0xf5d1c984,
+    0x80e572ec, 0xa0e05dcf, 0x1b8e050d, 0xbbab10bf, 0x5a00ef3c, 0xf53afa69, 0x6f545c81, 0xbb6c7302,
+    0xf399c6c2, 0x80c9761a, 0x8fa83278, 0x22e93f23, 0x83823426, 0x1085a902, 0xe518988b, 0x6dc48d80,
+    0x8b1da86c, 0x0b47eebd, 0xa8eec523, 0x2a862b7d, 0xa2334f78, 0x2b951262, 0x8549646a, 0x12e1bb77,
+    0xf68901cd, 0x8fca704d, 0x37ff3f4a, 0x049b21b8, 0xe8634448, 0xc35db6de, 0x6cbdbb14, 0x937f6959,
+    0x8a7f2199, 0xc23d8cdf, 0x8f780f66, 0xfe428af3, 0xf777a627, 0x7a14c887, 0x864cfc6a, 0xc9921615,
+    0x8f9e6dd5, 0xeae229c8, 0x4b871f8c, 0xbae01526, 0xbc464bf4, 0x23065894, 0x9c2af9d7, 0xdf910704,
+    0x8fd37e23, 0x3af1f151, 0x464fa475, 0xd4c8c469, 0x9ab18c4d, 0x27c5d56a, 0xc7c9c84e, 0x8a416665,
+    0x151b2a44, 0x12d50b47, 0x93b35629, 0x24164c39, 0x2fa95779, 0xc512a5ef, 0xa20e2ff0, 0x1ebe1668,
+    0x042bb26f, 0xa36764c5, 0xad840acd, 0xae154626, 0x1629e333, 0xb9fa46da, 0xb03a630c, 0xa4d1ef32,
+    0x2df7dc35, 0x564fb934, 0x77188b03, 0xb2c74bf2, 0xca53ec2b, 0xa50e87a9, 0xb3074b15, 0xa8d11d22,
+    0xdb41c8ef, 0xc39498ca, 0xb9dd4805, 0xff859e2a, 0x94629fc8, 0x4bb4f067, 0x79894259, 0x541267c5,
+    0x3be21ae7, 0xec8a6100, 0xc3636476, 0x646f7e57, 0x07342f7a, 0x9aaa514b, 0x48b10aa6, 0xec5fd1bf,
+    0x561042ab, 0xea892d33, 0xb87b14bc, 0x4df6b660, 0x4426ebb9, 0x6a64804f, 0xffdd70e6, 0xba13f8bd,
+    0x03081cbc, 0xa8227a60, 0x5f018ca5, 0x6cfdfacb, 0xccd95a98, 0xfd155ba7, 0x816307bd, 0x488ce0f6,
+    0x56f40953, 0x46319708, 0x9298c431, 0x9ee9c91d, 0x39f4ccb4, 0x54a4181e, 0x4935740a, 0x71252971,
+    0xd1915ad6, 0x55948d35, 0x02eaa9a2, 0x769d7071, 0x6807af18, 0x4865a015, 0x14788b2e, 0x94d9da42,
+    0x149f0d6b, 0x1f314e4c, 0x1318b764, 0xf5d2e8be, 0xf0c5256b, 0x249d0165, 0x6e6a70c3, 0x8e837443,
+    0x9cb83573, 0xc87d8e32, 0x468314e7, 0x99c29bd4, 0x2624eda2, 0xc9ebd9cb, 0xa08ecda1, 0x75361c2e,
+    0xd900b759, 0xdc856e05, 0x57ef5d43, 0xf784593f, 0x6672d0da, 0xedc67cfa, 0x425f2b41, 0xe0f1bf3c,
+    0x43e0ef1d, 0x4ab4e930, 0x4feb62d0, 0x00de1b34, 0xfaa22114, 0x8a2979ad, 0x5f12f76b, 0xcde7b3ec,
+    0x8f638da3, 0x16c70fb5, 0x42f29714, 0x6f249a65, 0x33e2d69d, 0x010ef598, 0x4117d122, 0x56993806,
+    0xf95a983e, 0xb1fc5086, 0x60af4f67, 0x4833d79b, 0xabe1ced9, 0xc325ec8b, 0x1cf24b04, 0x14fbf535,
+    0x52b750d4, 0x69e344ef, 0x82d5c031, 0x416d1cca, 0xee41bbbe, 0x9f21e3b6, 0xbb45ee80, 0x494ec5a5,
+    0x401601dd, 0xbae8e6d4, 0xaa261330, 0xc3c56d50, 0x6267816e, 0xda1b5965, 0xa6b9fc7d, 0x35aedeeb,
+    0xe5569ee1, 0x4dc8f450, 0xd04dc535, 0xc952c89e, 0x400b867f, 0x88e3c92d, 0x08a9011b, 0x41f20369,
+    0x0b1da0e0, 0x9d03e829, 0x0bfa05d4, 0x35d05a0d, 0x2dcbe94b, 0x04bca677, 0x73612f0c, 0xa5827d97,
+    0xcded3601, 0x6a388a2e, 0xe6fdf1f7, 0xcbe87af2, 0x9586a598, 0x436d8c39, 0xf69e9a4f, 0xa35abbf0,
+    0xf4711faf, 0x97e94573, 0xc96c6810, 0xc35e93e2, 0xcf91bfb8, 0xcc99e348, 0x381975ee, 0x51deed49,
+    0xb5431cc4, 0x4e6b2cc1, 0x8a40cdd1, 0x0d249dda, 0x7e8fa227, 0x54c0a17b, 0xe93a0aef, 0xfdd9c99f,
+    0xfb15da65, 0x5c7ade0a, 0x09a139ea, 0xdc286130, 0x8389da6c, 0x2506cda2, 0x76f90312, 0x888b3480,
+    0xcdbbfc12, 0x98c50b83, 0xf8dbae6f, 0xda2bb591, 0x78350ba4, 0xc3a1eec9, 0xc90e2e53, 0x771ba8a6,
+    0xb1bc0d06, 0x52f4f36b, 0xfa9a6864, 0x25d92f8c, 0x9e2d223f, 0x04aaf6d4, 0x1ce3bbd7, 0x628f6535,
+    0x3401ab1c, 0x3654c380, 0x3d2d0a00, 0x77da82fa, 0x682ba3b7, 0x0da09536, 0x0e555858, 0x4ee6328a,
+    0x359390bb, 0xce7eaff2, 0x1a2824a9, 0x9b158516, 0x076d12af, 0xb2cefa7a, 0x388ce5e9, 0x0cbfcc1c,
+    0xaf747195, 0x59ad2dda, 0xd0f541ad, 0x21356d3f, 0x1c9be731, 0x5ccaf792, 0x330e5de2, 0x0275ed6b,
+    0x47a3a20a, 0x2084cdfd, 0x6145435b, 0xce8eeca9, 0xf3722606, 0xb9e3d616, 0x1b8fdc94, 0xb8c37f3d,
+    0x64fe2159, 0x6601c99e, 0x1adc8451, 0x32eb6637, 0x3ad85efb, 0xa041d77e, 0xc6c86e33, 0x12827521,
+    0x1626cc08, 0x6f8845d7, 0x3d1dadc4, 0xf6494b5c, 0xb9feeadd, 0x49c14916, 0x79413ab2, 0x033e0fd4,
+    0x87bee259, 0xa4ba3a7c, 0x757b1e1b, 0x74e4a8ea, 0xadedef6d, 0xad65ef14, 0x1e75d101, 0xde143040,
+    0x8935a55a, 0x91365b44, 0xfdca9938, 0x1ccdbf47, 0x1784d02a, 0x4bd612fa, 0x41db482e, 0x5357958d,
+    0xa8a94d78, 0x0e7715f6, 0xe3f55320, 0xcb2d2134, 0x11818f60, 0x9784f4db, 0x13d0afc7, 0x186b05c2,
+    0x8ca1c977, 0x6f5e1e26, 0xbc58277c, 0x97a9c544, 0xbfe8ad4b, 0x8ed8e6b2, 0x62fee804, 0x8d1bc031,
+    0x4286647d, 0x624399bc, 0x015486b6, 0x7070af95, 0x1a00cb97, 0x9a8ec3ec, 0x1a2e3f87, 0x26df2458,
+    0x2e7ef59e, 0x190fda71, 0x63cbc103, 0xc97108ab, 0xf00c48f1, 0xb7dd1757, 0x1207430e, 0x92b47cbb,
+    0x4cd0ee52, 0xe9a239f0, 0x53a3669a, 0xd2f8d6ba, 0x8f8021fc, 0x57e127b8, 0x1048624e, 0x4d2ff1b1,
+    0xbf5bbff6, 0xc4633952, 0xbcb45111, 0xca2d52f5, 0xd8784fff, 0xf0462767, 0x6b9f40b5, 0xf5d6033d,
+    0xab4fdc43, 0x60e4ccc8, 0x2e438358, 0xadc45b56, 0x5e7dc004, 0x446a1632, 0x5f2aabf3, 0x5c86ef19,
+    0xf2825ffd, 0x0840c413, 0x572ed498, 0x105bea04, 0x0c1acff0, 0x5c09225c, 0x19879b06, 0x387be20b,
+    0x2edeb2c7, 0x9884f1e4, 0xb56dc351, 0x371535a1, 0xafee0ae2, 0x933629f0, 0x65ba2966, 0xb162f212,
+    0x90d303c7, 0x944b77fa, 0x0743a735, 0xcb519472, 0x5f9f347d, 0x774c3f69, 0xcd51806c, 0x9a53f8b6,
+    0x194151d4, 0x66ae2f25, 0x659a32ae, 0x51f36a8f, 0xe1050c63, 0xe8ed43a2, 0x87eed5fb, 0xba247080,
+    0x3e362317, 0x05dee682, 0x9124d4f1, 0x76ae54e2, 0xd4be7109, 0x64b7c019, 0x297025cb, 0x317efcb6,
+    0x0cb50c1c, 0xcdc17193, 0x7c03e402, 0x822ddf50, 0xdf1e444e, 0x78edd666, 0xc54ed249, 0x8b9fbc16,
+    0xf2e61f7f, 0x5e532dfd, 0x6b1032ca, 0x63b49e4a, 0x8d0d639b, 0x440872c2, 0x659966d8, 0xaaddd721,
+    0xd94d50da, 0xfa379583, 0xa2907ae7, 0xe5d9ac1e, 0x6a14b757, 0x337990ec, 0xf3eacf8a, 0x5eae81db,
+    0x92a6a0de, 0x9a96cf2c, 0xbdcd66a5, 0x225136cd, 0xa5f54065, 0xe6e92d8c, 0x369bb293, 0xf71f09b9,
+    0xdf5f9900, 0xc4e034a6, 0x28f77d0c, 0x724e8ea3, 0x51a1113f, 0x3cf082ff, 0x3f5711fe, 0x28eda3cd,
+    0x55938419, 0x9ef27489, 0x77e664d6, 0x1c4e387d, 0x3e4a5c1a, 0x49a5d1de, 0x645fc0f1, 0xe9936123,
+    0x572a8ca9, 0x40a093fe, 0xa871bdc8, 0x0f77c839, 0xae6a9bf6, 0x0d8de697, 0x0002dc0e, 0x8f769e03,
+    0xd1bc5dac, 0x8da5fd31, 0x258f1e30, 0xd0d7b919, 0x23f9e2e5, 0xca256c4f, 0x3d520132, 0x5a8f69d6,
+    0x6aa0c3a6, 0x1ac7e5f7, 0x045fdd7c, 0xfac52b27, 0x73f10f82, 0x5c778a00, 0xf9a7863f, 0xcf1e9355,
+    0x528fa589, 0x505eda3a, 0xbdd3981f, 0x218aab98, 0x88f3027c, 0x7a6e9216, 0xdc665a3f, 0xa191bc85,
+    0x2288886b, 0xbee40fef, 0x24e6e7e1, 0x750264f0, 0x6e9a3939, 0x0ecbf75b, 0xd4d4d81b, 0x48353cbf,
+    0x24c30d7e, 0x5086df39, 0x9570b274, 0x9308f8ff, 0x1a6d50c7, 0x5ed867b9, 0x26920347, 0xb6eba407,
+    0x097b9058, 0x4afdb29d, 0xdc79f763, 0xa50b919b, 0xefbf13f7, 0x7f5adbcd, 0xccf064d7, 0x0b062942,
+    0x515be47e, 0xa7ba4af1, 0x9491173f, 0x78b1ad78, 0x57f9f045, 0x94e36c4d, 0xf23f0277, 0x0344fe6b,
+    0x590b6d8a, 0x69059868, 0x67d8baad, 0x0f94ac56, 0x01c54779, 0xc12b9ca4, 0x19c11d68, 0x4d96e2a8,
+    0x9eb1d648, 0x85afcba8, 0x7d78a7d0, 0xcdd42cfd, 0x3467b843, 0x981bcac4, 0x38477942, 0x07151375,
+    0x132a6eb5, 0x01887fd0, 0xb66ec21f, 0x3d1c7f91, 0xf786a1f7, 0x62074b40, 0x89083033, 0xbf3168da,
+    0x5c065a6d, 0x3c7aa147, 0x885ed20e, 0xc9417ab1, 0x268c9960, 0xf0a52332, 0x2ee166c3, 0x76df4bbc,
+    0x07f5ff1e, 0x076c0062, 0x3cd21e30, 0x5a35ea43, 0x52493aaf, 0x7374b972, 0x7493fa2d, 0x04ace150,
+    0x6f82722e, 0x05657f41, 0x867f488e, 0xa0dcb36d, 0x96c47458, 0x5543207d, 0x53852018, 0xfad89a9a,
+    0x4ac1c00d, 0x40d5a1ca, 0xc402689e, 0x3f4f49bd, 0x51f23f08, 0xe29f3042, 0xe5cf4ca2, 0x3646a28b,
+    0x018ceeba, 0x89eb839d, 0x846e7582, 0xe8651c71, 0x799d66db, 0xdea14e34, 0x55a19fa5, 0x5d14308e,
+    0xb19639a2, 0xa41a42a0, 0x52a7ec5b, 0x69420efb, 0x61c96203, 0x47df1ee1, 0x0de2dd07, 0x36d2fb56,
+    0x88e66e93, 0xbec96071, 0x2a815eb7, 0xbf99bd97, 0xc0d77d6a, 0xdb1a8f28, 0x6703a7d5, 0xe02a0ccb,
+    0x73588e40, 0x59a64717, 0x854d1fd0, 0xf184d8e5, 0xee340ba5, 0x67e7efab, 0x3444cb44, 0x85eb83d0,
+    0xf59fc4d5, 0x2e8e87a9, 0xe11a684f, 0xc7548247, 0x05e523fa, 0x050f424c, 0xeff967f0, 0x724b6d1a,
+    0x8e261723, 0x10295c4c, 0x45705369, 0x3c3a347e, 0x27289fca, 0x9f966525, 0xbb605e9d, 0x85abad11,
+    0xc2bfb761, 0x063a7089, 0x7a9e68b7, 0xa2b5920e, 0xa150c2cf, 0xfeffebbe, 0xada4425a, 0xd5ff5330,
+    0x6e5bacda, 0x555b853e, 0x82378f01, 0x8889e58b, 0x9f6615cd, 0xb5c82f32, 0xc4662506, 0x41808325,
+    0x83c3facb, 0x200ab67a, 0x0af36432, 0xdf56fe71, 0xe4e37b8c, 0x0907e6a9, 0xf73caa67, 0xeb0224c5,
+    0xf0e58639, 0x73b0216b, 0x011e8cd2, 0x769d87a7, 0xd97a9d51, 0xb80cfa8e, 0x3e752d32, 0x88386781,
+    0xf3b64692, 0x4417d3ab, 0x1ea46696, 0x527b910a, 0xd29eb683, 0x286d8f9a, 0x4e00c21d, 0x8d6cd95f,
+    0xf4188cd2, 0xdd09637f, 0xc2f0ca0e, 0xf5091b7c, 0x744a64f5, 0xd7fafdfb, 0x7d3439e0, 0xef67d1fc,
+    0x4cd06f4e, 0x6577e208, 0xaeaab9d9, 0x79078853, 0x5b6ab0dc, 0xd2ee7c07, 0x85b1c7fd, 0x8711b95e,
+    0x86c01c3e, 0x00c6ce61, 0xcec6ebd8, 0x64a265d9, 0x57f66921, 0x505736f9, 0x1b974930, 0x32e3a62c,
+    0x52b38b3d, 0x1c6e7cc4, 0xa4ae80cd, 0xcec81692, 0x080bc441, 0x3e0ce3d2, 0xe1b4e391, 0x3c568ecb,
+    0x51948a9a, 0xec2deddd, 0xbd636bd6, 0x1352a8c7, 0xad57fa92, 0xfce9a6a0, 0xe9081071, 0x98f633f1,
+    0x87a18cfe, 0xf2777f4d, 0xb712dbcd, 0x9824fb44, 0x1798b006, 0x81f19ca3, 0x6db43b30, 0x993b81cf,
+    0xe3cb7b31, 0xc2382fde, 0xedf5f58c, 0x2a5a2d5e, 0xc158c2ad, 0xec33e32c, 0xae368d84, 0x21f0d896,
+    0xa8b97cc7, 0xcd409705, 0x8d261219, 0xfacad387, 0xc2907de4, 0xa3f5a12a, 0x1bac5302, 0x029476ee,
+    0xf79cab02, 0xc5c8d23f, 0xf4138e30, 0x428095d6, 0xb3eba788, 0xd7114dda, 0x0aa9169a, 0xf4a8d02d,
+    0x5d0004f8, 0x60fbd466, 0x718e2722, 0x38ba2a6a, 0xa0da4d85, 0x1c80428a, 0x09e77412, 0x707f7bea,
+    0x3bd67ea6, 0xb18ecd98, 0x796264d3, 0x3496c5bd, 0xe023b748, 0xf1406a1f, 0x649a28ba, 0xed827744,
+    0x5a87969f, 0x8be94a7a, 0x837dd866, 0xc37639e8, 0xcbb12784, 0x24768401, 0x6dd5eaff, 0xdf54853a,
+    0xa704ccfb, 0x79bd2002, 0xbf2732ae, 0xb216e4d2, 0x7d6912ee, 0x519f34c3, 0xcb1891b9, 0x72ff5fd3,
+    0xd1f22e0e, 0xa277424a, 0xbd0ff1aa, 0x2e0dfcea, 0xe423cb8f, 0x6f447827, 0x79e3b4f9, 0x22e0002f,
+    0x85a9feea, 0x6f078c54, 0xe707e9f7, 0x9e683fab, 0xf0ea689f, 0x6b0d00cb, 0xdd294292, 0x85ab1183,
+    0x0c2b8d0f, 0x3a22e8fd, 0x6e734bc5, 0x24fb382d, 0xb128c728, 0x4e4427f4, 0x8a76ff87, 0x8712b16e,
+    0xb741ca7b, 0xc5b77f9b, 0x2b693d37, 0xd35f9cd6, 0x049e2446, 0xfbf97d53, 0xfc724b3a, 0x457dc326,
+    0xedc36851, 0xb9a98a6f, 0x3c44465d, 0xbfc085c9, 0x85df4394, 0xf36617d1, 0xe9e29687, 0xac7e3ab5,
+    0x1e49f57b, 0x85531aad, 0x41098e31, 0x1bf98a06, 0xd00a16d0, 0x2e6c705c, 0xf17c0746, 0xc03a86c1,
+    0x67e7f2a5, 0x18f585f7, 0xec502478, 0xcb7ca4f2, 0x266d644e, 0x1327e56a, 0xceef20cb, 0x041c6de8,
+    0xc1a856d5, 0x73b5a7a1, 0xaa9c6e0a, 0xde6d1e8e, 0xe92af15d, 0x78aea1ec, 0xbfa103d5, 0x4070d943,
+    0xebd23b3d, 0x1bdf608c, 0x82613b96, 0x86db58a4, 0x23ee95be, 0xd30605aa, 0x3c01528c, 0xf58d6f0f,
+    0xa84921d6, 0xce2a3e72, 0x02f53e86, 0x5175dd6e, 0xefd16706, 0x33985340, 0xac658e5b, 0x48a79639,
+    0x6ccc42ca, 0x9dd7ea58, 0x6d60f7e2, 0x711bc973, 0xe11b3e49, 0xc56cca65, 0x72b275e7, 0x123d81d0,
+    0x17aba2a0, 0x1afedf18, 0xdef90898, 0x2f84e680, 0xad21a5af, 0x5e12ff9d, 0x03252b71, 0xd46d9ac2,
+    0x22e6b11e, 0x4ac01366, 0x715bbf7b, 0xa1198846, 0x36163d11, 0x0b82f4f2, 0xfdb7a04a, 0x98087f05,
+    0x3cc78e3a, 0x0e7759ca, 0x9dc3bf8c, 0x89602dac, 0xd9f7e2bf, 0x205eabf0, 0xae5a5b5e, 0x6d792ddf,
+    0x5881bafd, 0x0afc2860, 0xa2f4ff37, 0x2742a4d8, 0xa8bfb896, 0xf03db19a, 0x1d8cc6d7, 0x8d4b507c,
+    0x03934b28, 0xa387fa66, 0x54f41c6d, 0x673b3f25, 0x85100de4, 0x2ed1607c, 0x70bb0985, 0x9f940743,
+    0x704484da, 0x99900309, 0x3bb68240, 0x47941d4b, 0x231151ba, 0x3af7174d, 0xf9e4c5fa, 0xd86792f4,
+    0x6c1f14ff, 0xccf376a6, 0x0894186e, 0xa49fb38d, 0xbdaec1a8, 0x97e7e098, 0x15d7be7f, 0xeb92c071,
+    0x9cfe319b, 0xdfd8e2df, 0x3db54ee1, 0x9be4b652, 0x308e8a64, 0xfa36ae22, 0x1dfe6c45, 0x1a4dbfd4,
+    0x7c0663ba, 0x3f9bcae6, 0xcbcb7325, 0x5d8f91a6, 0xfa52dde5, 0x2208deed, 0x9986bec3, 0xb499ded8,
+    0xb704f0d1, 0x50ead451, 0x02f35ebb, 0x1fe16fc4, 0xc9013013, 0x8a45ac26, 0x1ddceb2b, 0x9c1ead58,
+    0x4aca1d0b, 0xa34b67fd, 0xa2987a92, 0xf1e17735, 0xd12eb964, 0xed75821a, 0x0d820661, 0xbb225e37,
+    0xe33f2b2d, 0xd40089e8, 0xb53b4682, 0xbacb684e, 0x682661bb, 0x6715cd49, 0xb445d83b, 0x35054426,
+    0xca09cdf3, 0x16bd2d33, 0x8a7912bb, 0xc8a032af, 0x0d12c160, 0x4e1add1e, 0x5019d4e5, 0xbcfcbf05,
+    0xa50127b8, 0xda677c3b, 0x1ebd9ae7, 0x4bbd147c, 0x1f3e1e70, 0x98b41c0f, 0x04069115, 0x7ee7047c,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000074\
+                         10693711188236507108543040556026102609279018600996098525285376506440296955904 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a,
+    0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564041, 0x73c2ce82,
+    0x00000000,
+    0x92c46d62, 0x057d5b18, 0x5f5de129, 0xdc0c335c, 0x097fafe4, 0x4d00febf, 0x55906280, 0x76ef1f5b,
+    0xcebe4da4, 0x1cebfe67, 0x2acbf538, 0x9f6ec5bc, 0x8d9015ff, 0x6179eed0, 0x82439855, 0xd3eebe47,
+    0x9fc2a283, 0xe1006c55, 0x3978c2bc, 0xe842bfcb, 0xd28a69cb, 0x719f86f9, 0xeda9e00e, 0x9dbfe2db,
+    0xa70ac32c, 0xe0c23971, 0x9993d244, 0x1050a106, 0xe5e516a5, 0x5f015b4c, 0x93efed7d, 0x82fb6143,
+    0x53ae3c7b, 0xdca519a0, 0x5caf1105, 0xec75bc08, 0x179ea74d, 0xfebde914, 0xbe9f635e, 0xb67c2cdb,
+    0x666935df, 0x02bc80d5, 0xb584271d, 0x0ff97483, 0x743ec9c8, 0x949c482b, 0x1f3249a6, 0x5362ed07,
+    0x40401320, 0xa131d57d, 0xd625a738, 0xb5552477, 0xfaf8fed2, 0xf3b536bd, 0xbb217794, 0x573cba0f,
+    0x006744e5, 0x788423fb, 0xa6469e68, 0x72fa3d18, 0x91094905, 0x331322ef, 0x6291a99e, 0x856125ea,
+    0xd27a582c, 0x1054e198, 0x72152388, 0xb7d360d3, 0x61ac62f1, 0xb056808e, 0xa925c108, 0xbf1b2bef,
+    0x3211b813, 0xd66dad48, 0x2a6ceb8c, 0x68aa1f40, 0x7289a10e, 0x1f9b26e4, 0x0e35f8e2, 0x21255abd,
+    0xecaec6a7, 0x274cbcaf, 0x64a88d21, 0x3085a284, 0x38a1ad64, 0xc29b782b, 0x11311aa2, 0xe01be27a,
+    0x33013124, 0xf1ad99bb, 0x753c2e9d, 0xee6ec3c6, 0xee2b1477, 0xba442d49, 0xf0f8aa34, 0x5517a30d,
+    0xc4db5a3a, 0xc8846bec, 0x13d1cb9f, 0xc8e4d52c, 0xece938a9, 0x118f9e76, 0x9416d29d, 0x3c906002,
+    0xdcec18b6, 0x856d1536, 0x474b5ebd, 0xec658c20, 0x324fb535, 0x66ddf564, 0x6fa7452e, 0xbfd6ff2b,
+    0xadf00147, 0x424631e0, 0x4a436557, 0x8e1bf912, 0xb5ccab32, 0x6610988e, 0x2ba7f412, 0x5a7ab2e0,
+    0xbe381d7f, 0x00a0f419, 0xef1aadcf, 0x0f54fe26, 0x00e3a65c, 0x0f171998, 0x0a1d338f, 0x683533b0,
+    0xb160e168, 0x8659d911, 0xe635ad1a, 0x1038f675, 0xc53cd035, 0x6f425c8c, 0x9f819927, 0xf7518962,
+    0x715708f6, 0xe33d6e6f, 0x84cb71c7, 0xea17ab8d, 0xe0e91432, 0x9ecbf4b1, 0xd1077938, 0x59094767,
+    0x866ea4ce, 0xa441c6e1, 0xbc0ebaec, 0x13f406e0, 0x230a7f5e, 0xda985956, 0x8d3c666b, 0x5fceed45,
+    0xb4984aa3, 0xee9192df, 0x0339c8da, 0x7b10905c, 0xe51461d8, 0xb0ff6d25, 0xbb0f53a7, 0x322500bd,
+    0xe3dce82d, 0x435d6820, 0x5facdc60, 0x678727fe, 0xdeaa4ed7, 0xd0d4ed0d, 0x972917f1, 0x2a739c5b,
+    0x6794f9a8, 0x26b8a584, 0x940d4b9d, 0x6cfb4759, 0x046786b1, 0x4576636e, 0x24cde6d3, 0xb4ea071b,
+    0x845f7eb2, 0x14689e16, 0xcf8eb1b0, 0x93600cc1, 0xd79afb5f, 0xae6d2e98, 0xfa9e7533, 0x16ab013e,
+    0x7226cfbf, 0xd379ebdc, 0x88f00227, 0xd3f3f564, 0x0800dd47, 0x1443a105, 0x432f8898, 0xe02c7bfc,
+    0x476020d7, 0xed2eb275, 0xa1956fe7, 0x01c92136, 0xa06dcf96, 0xc841cc49, 0x8b151ef4, 0x743a6a19,
+    0xa29232f8, 0xc3538e6c, 0xcf044d59, 0xd6b6eeef, 0x8c7f05c9, 0x62ca8a78, 0xb98864eb, 0xf5079a2e,
+    0x579a5682, 0xbbd7ce4f, 0xdda15696, 0x553dfcf3, 0x9b2155a1, 0x292aa266, 0x2f91f0c3, 0xb864fc2b,
+    0x387a658a, 0x62e6d3cb, 0x0496e925, 0xce7a1e49, 0xc29bd89d, 0xc5c16c5f, 0x7c089f16, 0x2fad3808,
+    0xf400f12e, 0xa69d610e, 0x7b9639fc, 0x468edd93, 0x3bf4420a, 0x01f9c206, 0x89c45905, 0xd62ba324,
+    0x1207bb3f, 0x381b96f2, 0xcb4d3735, 0xab9852f0, 0x8680030f, 0xbd1400f6, 0x4720cf5e, 0x0feb4c84,
+    0x2095ccf9, 0x998a35e8, 0x847c74b9, 0xb3a5e698, 0xf3b06356, 0x8e23b884, 0x46c31043, 0xa7250352,
+    0xe110d1ea, 0xd87548e7, 0x0d842d58, 0x4a300b69, 0xf0501c05, 0x632b2e74, 0x58c75458, 0x7659f672,
+    0xb3a4da98, 0xe4716954, 0xc5bd881c, 0xbbca48e7, 0xc9f0f779, 0xf3f34863, 0x19507e98, 0x561e54fa,
+    0x50fa302b, 0x44538cf8, 0x98d73773, 0xfc9d76d4, 0x45bebf53, 0x8f991790, 0xa197634a, 0x98363082,
+    0x468f4883, 0xbb958b57, 0xce07e3d3, 0xadef3177, 0xca3f8961, 0x8bb159e7, 0x669a1ee9, 0x10ae3e59,
+    0x5a7cac23, 0x8b24b5b6, 0xb259218c, 0xa1725dfb, 0xc7da24a3, 0xf498af22, 0x912589cc, 0x3a0a5c62,
+    0x78c0ed7f, 0x3066e887, 0xf0286914, 0xe40d3def, 0x5b60aaef, 0x41191dd2, 0xf9886956, 0x49d5e874,
+    0x6e4bc730, 0xb5de344c, 0x6c64190c, 0x8a790393, 0x934f11a7, 0x6af61b93, 0x196beaf3, 0x8bd9d7ad,
+    0x6ed4c85d, 0xc4ea322e, 0x1d0df84f, 0x59b01200, 0xc6a8b652, 0xbc36a030, 0xe8fe6aee, 0xb05755cd,
+    0xd4f0155a, 0x56ec137a, 0x37837d54, 0x8199f5bc, 0x472b1040, 0xb311620f, 0x2d8a26c9, 0xc5e14ae9,
+    0x5fc3a92f, 0x9ad9ea3b, 0xee95cdd4, 0x0a38e4ca, 0xacacb497, 0x6a85c240, 0x349513a5, 0xcc078ae0,
+    0x8a57858b, 0xcf9be092, 0xbd184fa0, 0x7b7425cf, 0x75d1fd63, 0x060fa09e, 0x4d7c501b, 0x61298d73,
+    0x3b085bf1, 0x36310a14, 0x9eb3fff5, 0xccfdcac5, 0x29a8bb30, 0xc9bee955, 0x6220b3d8, 0x662acc5a,
+    0xf8b9394a, 0x5886d51a, 0x0415f7e7, 0xf587bdd3, 0x3f26f9d4, 0x5d422f5a, 0x0d70aa6c, 0x1390d9eb,
+    0xd1b24593, 0x93d88335, 0x220a01c0, 0x5be966b2, 0xe2237c80, 0xf5713322, 0xec3bf150, 0x30cfb1de,
+    0xe459fbf4, 0x423206e6, 0x553bbec4, 0xfb4a3bb9, 0xc1ab8e6b, 0xc36d5dc7, 0xa6976da5, 0x79a51642,
+    0xc0207cfa, 0x9a9e4bb1, 0x06055f6d, 0x8d7f2de1, 0xfa03e388, 0x02bf8926, 0xb5d44644, 0x61c26457,
+    0xc8b8f4b8, 0xa990ec5b, 0xbe5c2f3a, 0x15a4a027, 0xeebab4a2, 0x70b9b0ed, 0x1ec7d037, 0x97f2ba0e,
+    0x96d2b5ae, 0x56acf430, 0xd333c5cf, 0x8f221e42, 0x59b1727a, 0xff0b0e8f, 0x00ab00c4, 0x902bc35f,
+    0x381a359d, 0x28882315, 0x898b3d07, 0x07a630ad, 0xa9ee5bdb, 0xc7d8f946, 0x718341d5, 0x26dffb8c,
+    0x90af33e1, 0x8cf7efcc, 0xf85557ce, 0xed970293, 0x7227c439, 0xe3677afb, 0xd95afe1c, 0xb7a5a107,
+    0xf07eb53f, 0x4ae50076, 0x90d5ee86, 0x1393577a, 0x0d992528, 0x5264e1da, 0x3d10728b, 0x1a11203e,
+    0x29472acf, 0x3a143a3a, 0xb611ec29, 0x15bfde3d, 0xe3d05a0a, 0xc077aeb0, 0x320d85f8, 0x896604a3,
+    0x5ac7fcd9, 0x1c6077f5, 0x6273729d, 0x9c0013bb, 0x12df4a8c, 0x9ef7d905, 0xa4d0c5c3, 0x36744a7c,
+    0xbeb9d69a, 0xda92713a, 0x95abe12e, 0x9ff34615, 0xa2788209, 0x196edcd9, 0x3bb140e6, 0xb1a10e9e,
+    0xdba158d4, 0x39468349, 0x6329e5bf, 0x6da95d04, 0xbb382d6c, 0xa0847dde, 0x53cfa799, 0xd206e437,
+    0xc8e43c63, 0x09f6ebba, 0x784f4f11, 0x298785b2, 0x81b615a1, 0x483a2bad, 0xf9d37a95, 0xc5f49f4c,
+    0xaba6fe14, 0x4344d8e7, 0x3416f30c, 0x8a1e6dd2, 0xea65010e, 0x4f838640, 0x4017de6d, 0xaf3b2f95,
+    0x4e484bea, 0x2833428d, 0x9d9bb948, 0xcc5cc2f4, 0x3159b01f, 0xdb30f5c8, 0x2df0cb50, 0xd91dccbe,
+    0x38c09414, 0xde4b48bf, 0x8107253f, 0x95ac0ef1, 0x0fead29c, 0xd5f383f0, 0xe680e543, 0xa8b7019e,
+    0x7e2dfd4c, 0x1760a230, 0xf9b4cbf9, 0xa1e6b884, 0x2a004245, 0x504b1e10, 0x500ad584, 0xe84c43fc,
+    0xf588a839, 0x1057ab31, 0x199cab2f, 0xc78b21c1, 0x42461553, 0x00ac210b, 0x25f6ffd2, 0x060ce65e,
+    0x172c4c40, 0x30334676, 0xa7e6d4a3, 0x9f8d9cbc, 0xd401dcef, 0x8d6540e6, 0xfe494dc6, 0x6ee0e681,
+    0xb46845f2, 0x1f602a5d, 0xe3ef5696, 0xcec6bbd5, 0xc83d1760, 0xdcc989d7, 0x83a82917, 0x58bdec04,
+    0x55b7ab69, 0x8bc181ae, 0xd215f5cb, 0xccf9bf1c, 0x5a3d0557, 0xfb5b420f, 0xdec7f2ae, 0x0b9249ef,
+    0x3a6ea0fd, 0x8ad8e3f9, 0x5a0b4f06, 0xf76ca6b8, 0xb85ece0d, 0xaebdd8fd, 0x77f897d4, 0x1d136afc,
+    0xdd427bfb, 0x0d5a7336, 0xefaf9124, 0x83ebb3af, 0xbcbe60e5, 0x18db284f, 0x8e08eb00, 0x37fd2931,
+    0x27d73126, 0x895a1821, 0xf71f3d51, 0xe29af8b9, 0x5c2b8561, 0x0fdb1800, 0xc9159c26, 0xa998559b,
+    0xbc32a3f0, 0xa1aae7f9, 0xe1030bee, 0x14972b6b, 0x14a7db24, 0x32571747, 0x669e3bf0, 0x3efc5490,
+    0xa7fdc694, 0xcf45cdc4, 0xcbe69173, 0x58107048, 0x6ec81a27, 0x2ce1d08a, 0x477def65, 0xf65953e0,
+    0x3d999a1e, 0xdc2411a1, 0x4affb571, 0xb835bcd1, 0x3cb74ed2, 0x5c642704, 0xf43bef72, 0xbe8c272d,
+    0x44b5e501, 0x1d180414, 0x867dde1a, 0xdb0e9ca9, 0x57fd185b, 0x1b7cfbe8, 0xc328e04c, 0x169d8fd4,
+    0xbdcc81bb, 0x13342a91, 0x4b1f7cd0, 0x262029f7, 0x4c1c8070, 0xe84079a9, 0x5ea81560, 0x2cbbc62a,
+    0xd97cc507, 0xf7936245, 0x63221e6c, 0x3a923db7, 0x561e57a8, 0xe185dc7e, 0x34c370e5, 0x4904c780,
+    0xcb679b1b, 0xcff292b9, 0x66cb8d56, 0x05c236c5, 0x1c92d50e, 0xd18cd829, 0x9143483e, 0x2fc77a18,
+    0xfccd7acb, 0x58a98bfa, 0xdc8b9cab, 0xb6ec2734, 0xce4a81de, 0xfab0c609, 0xb4616ca6, 0xb37b0494,
+    0xdfad35b6, 0x60d4fa32, 0xac686b85, 0xdab73d85, 0x27fa62c1, 0x261c06f6, 0x3cdd411c, 0x00904a76,
+    0xa020858a, 0x0c9187bb, 0x56e5ebc7, 0xaee86da3, 0x6fb5f0f2, 0xc3b6e0ae, 0xb8eb80a3, 0xad3014df,
+    0xb0779003, 0x29694e63, 0xb0fb633c, 0xc31c8aed, 0x3e4ed7b8, 0xae636134, 0xdf87cd2f, 0x7731d12c,
+    0x9001127f, 0xa423ea17, 0xc2f8aa37, 0x333f166a, 0xe6d67658, 0xe3e71eee, 0xbd058a1a, 0x71d542ca,
+    0xf9c544e9, 0x2ac91c5b, 0xd25cee6c, 0x58f17c35, 0xb047758f, 0x5b9ed2be, 0xa63b5ebe, 0x9a0506e4,
+    0x8e6b8a9e, 0xf49bcf88, 0x5b54d684, 0xc12b6072, 0xfed491c2, 0x48b47d09, 0xf77d4319, 0x8ea3b8b2,
+    0x7988751d, 0x84779d8d, 0xec415b97, 0x7879007b, 0xd94cf012, 0x1a164bd6, 0x9e4ccb4e, 0xa625ef5f,
+    0xb64b2383, 0x84b8e78a, 0xeea9ab2b, 0x14ea1147, 0xf9cfc506, 0x948c6088, 0x057b432a, 0xec1dfb91,
+    0x8ad323f8, 0xd451d8f5, 0xdfffaf49, 0x0d21f80a, 0x1fd2b0cb, 0xa429e1f9, 0x73815feb, 0x7396105e,
+    0x74912ceb, 0x37329728, 0xc78b2aa9, 0xc11ae5f2, 0x0e6b0b3d, 0x3ea394c4, 0x50a9e093, 0xc2e9611d,
+    0xaa4b0958, 0x15c9114f, 0x58376cc2, 0xb38e7b2c, 0x10a11984, 0xdb738a84, 0xf9e525e2, 0x9ad46155,
+    0x3b684e07, 0xeae549e4, 0x53a3096d, 0x3dfbfaba, 0xe0236797, 0x54bd1256, 0xa362a110, 0xebb08a21,
+    0xbcfa775b, 0x9503b50c, 0x0be976a8, 0xea6fa3ae, 0x2f4a4424, 0xc5ae800c, 0x30a3ac5c, 0xa6587894,
+    0xe1e9f65d, 0xc83645c3, 0x087a9ea0, 0x1d8e2c13, 0xd5f534f1, 0x97d5fc21, 0xb9b318b9, 0xe4e955b2,
+    0x337f43fc, 0x67d331bd, 0xfab57d92, 0x5ed421d7, 0x26db49b1, 0xd0b36e99, 0x825895f3, 0x87193ea6,
+    0xf3a8d2e2, 0xe2b12a98, 0xcc06ea86, 0xea614c30, 0x73a12a71, 0x7deec29b, 0x6479c92a, 0x363e9b91,
+    0x4b1c8671, 0x3622e4f8, 0x2ee5158f, 0xc87f6e35, 0x58985df6, 0x8529c2ba, 0xd258533e, 0x63350e4d,
+    0x1ee2b96c, 0xd8256fe2, 0x235aef9b, 0xdf4ce15c, 0x0933d547, 0x885073d3, 0xd49c2575, 0x6082dd3c,
+    0xef53ee7c, 0xf9980fc8, 0xb6e9638d, 0xd7e937b4, 0x1b486dda, 0x69a66fc6, 0xaa07c896, 0x91635472,
+    0x5cbe3228, 0xfc6ebab3, 0x2cea346a, 0x90fb5d6e, 0xf04f9449, 0xbe6f6d0d, 0x14457c2a, 0xe42a6f76,
+    0xce259535, 0xc3290506, 0xaf5d4179, 0x4b46ebc1, 0x13f9c723, 0x596dd5e9, 0x3691d15e, 0x4aae71ea,
+    0xc50a3fae, 0x82076730, 0x2ecbdf05, 0xaef654af, 0x6f349a94, 0x6b3615bb, 0xa4ac733b, 0x2ed76341,
+    0x7755d081, 0xc1967d20, 0xe1ef2e6d, 0x71658ab0, 0xf5410677, 0x5e3c27c3, 0x5416a0e9, 0xa60f7d2f,
+    0xa2960d41, 0x3c6287ba, 0xb68724e2, 0x2931cafa, 0x7bcc993d, 0x6499b0c3, 0xec1227c7, 0x4d6561c7,
+    0xbd1bd119, 0x5f631205, 0x5187177b, 0x5f8b3048, 0x7412170d, 0x7eeab45f, 0xb500a806, 0xf429b9db,
+    0xb02c5d29, 0x9e754e66, 0x4b22410d, 0xf96c47f4, 0x95a6d436, 0x39a9a49b, 0x2a93f1e8, 0x445c06b1,
+    0x4139807f, 0xf6073a19, 0xf25ae6f3, 0xc7f3198e, 0x85e7a6b7, 0x53f589c4, 0x2f7dc7fc, 0xee0734bc,
+    0x50ac7813, 0xbea86eb5, 0x13b67494, 0xdb659281, 0xcd8de253, 0x2ca06a67, 0xb5e23a56, 0xe299a7d3,
+    0x8742a75c, 0x976f684c, 0x831b8f34, 0x45915dbb, 0x628a4395, 0xdaec0076, 0x2f8a1941, 0x53fa9149,
+    0x996e7071, 0x70c056bd, 0x1701c832, 0x12115886, 0x694dd9f1, 0x120c9b5f, 0x9b115923, 0xaf55addd,
+    0xcbe0befe, 0x23998776, 0x5dfec290, 0xb92b5f57, 0x7c0b92de, 0x06decd45, 0xa9d58fcd, 0xc6a691c2,
+    0x14081a74, 0xe90644cd, 0x8e5892d8, 0x8ab1f0a0, 0xbb4618aa, 0x7a4ed129, 0x59915df0, 0xb4e43fdc,
+    0x3f7bc0e4, 0x297dc0ee, 0xfae61d8f, 0x66f75901, 0x886bb152, 0x8412e40c, 0xaec0588b, 0x88b644e4,
+    0x6a0c55c9, 0x97af5baa, 0x1d28380d, 0xe9cc52a4, 0xe8479776, 0x1860cb2d, 0xbaec06e1, 0xbcaf117e,
+    0x3b7e4f7f, 0x3fa6289e, 0xbadc2e71, 0x1b4ec0a8, 0xa25ac5cc, 0x911a28c6, 0x867fc113, 0x9cf98516,
+    0x6660a58c, 0xcc050ca8, 0xde37d815, 0x602a1976, 0x07689d7b, 0xc7621fd8, 0xff323cff, 0xbe8ac44c,
+    0x31dd08bc, 0xeab03af7, 0x6503ff52, 0xf38e6814, 0xf1d1c2d4, 0x2942c573, 0x3c03316e, 0x1e6b9281,
+    0x567fa5a4, 0xd5e39fc8, 0x5d2cd326, 0xc3e2abc7, 0xd4e58568, 0xdeb38724, 0xc0e95c20, 0x46d59d1e,
+    0x38d93d53, 0x671096b4, 0xba4a6405, 0x01be1409, 0x64438b86, 0x3f34e68c, 0xd44894d4, 0xcfb37006,
+    0xe4cd399f, 0x0f4dcce2, 0xa6de7db4, 0x619e473a, 0x2132cdd0, 0xf2c13473, 0xbf202a0b, 0xf38fb360,
+    0x8724f1f5, 0x7d60bdd2, 0xc9d8af1c, 0x2d3d13f2, 0x03f97740, 0x036549e7, 0x9ead0854, 0x524962bd,
+    0x23ae478a, 0xeb1b1a67, 0xc658cfee, 0xc90c4d47, 0xf51a1d40, 0xb9e12f50, 0x0bfdd561, 0xfe3471fc,
+    0x4f4259cc, 0x6747f8ea, 0x22afb5fd, 0xadeb385c, 0xd9523f82, 0xbbbf1a47, 0xc8af2b8c, 0x99412f58,
+    0x2ad759fc, 0x0c34d575, 0xb4d010f0, 0x5e0ea1e0, 0x99906006, 0x69d1f05b, 0x093971a2, 0xd2a62fc0,
+    0xcd2ee641, 0x3f2cb068, 0xde1ae0c2, 0xfa7f6817, 0xe006b5cc, 0x94f2e66f, 0xbcdf607b, 0x658e8686,
+    0xc0bc5742, 0x5f661e1c, 0xb3f29aa3, 0xc77d2331, 0x228956ea, 0x13beedc3, 0x5ad8bdd6, 0xccf06422,
+    0x3d37b199, 0x9697979b, 0xd1314964, 0x87fe2c82, 0x1c4ebff0, 0x4ca3c723, 0x77e01f1f, 0xb9053197,
+    0xec9b22ed, 0x39c47111, 0xbaa626a1, 0xa8d16854, 0xab8007b4, 0x7bda66ee, 0xf0345d38, 0x3bb22869,
+    0xdf49a141, 0xd29be4a0, 0xbb0b6246, 0x67989913, 0xdcbd1eab, 0xa9985622, 0x33b29e1d, 0x8b70c277,
+    0xf9fed4f0, 0x1c38e05d, 0x29dffbf4, 0x0aa1e26e, 0x15581837, 0xc1b0146c, 0x817d02c9, 0x1556aba4,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000037\
+                         05346855594118253554271520278013051304639509300498049262642688253220148477952 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035,
+    0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab2020, 0xb9e16740,
+    0x00000000,
+    0xc1d60991, 0xeb8de58d, 0xe08668af, 0x04f53fc4, 0x8ce1c913, 0x6d19bac1, 0x6b9997c7, 0xbaa9a7f6,
+    0x865f4bf2, 0x743bbe45, 0x896e5fa4, 0xcd171fda, 0x63872727, 0xa1386871, 0xcb301400, 0x19a20511,
+    0x82db15c7, 0x8c9ae8b8, 0x3579b583, 0x6b1135b3, 0x8340980d, 0x88febc24, 0xaf09acdf, 0xc1cceafe,
+    0x1f2969dd, 0x3201ccfd, 0xa314ca83, 0x942d46e3, 0x57b7bed8, 0xb3da045f, 0xd0c5ac56, 0x69def4d7,
+    0x5bce4b85, 0x0bf3b17f, 0x49ebc223, 0x3c89f35d, 0x80d84207, 0x0bc00e6b, 0x2d273cc3, 0xcf6fc6ee,
+    0x9b1586dc, 0x203305eb, 0xa7ad2dbb, 0x6948ccc7, 0x57fce2c4, 0x2ff6ee85, 0x30ffaecf, 0xb3ac30b2,
+    0x14e40166, 0x26fb716f, 0xab67acb0, 0xe65817a7, 0x80775431, 0x0fb9f41b, 0x741e073f, 0x4fc445a6,
+    0xd0e5d9e8, 0xd1b77103, 0x60863b58, 0xbc128e09, 0x908cd512, 0x4f3a0fe8, 0xa99e2ab1, 0x84f4111b,
+    0x8d3749e1, 0x67ccad8f, 0x861681e8, 0x957839be, 0xf809d447, 0xaa69fdf7, 0x68bd2038, 0xba32f7fd,
+    0x36c13f89, 0xefb3e06c, 0x34b3bfc1, 0x02a961f5, 0xc671f98f, 0x5d8e38ef, 0x132351c1, 0x264173f0,
+    0x1b96e29b, 0x45893315, 0xe330e456, 0x8dc99773, 0xb32269a8, 0xc9e88b12, 0x2d151458, 0x62cd92a7,
+    0x32949774, 0xbe8097a0, 0x40ed1593, 0xe4cb3950, 0x76c35d7a, 0xd8fc2463, 0x6d10e6d5, 0x6460af92,
+    0xfc604f2f, 0x3c4c665b, 0xc52f2bb6, 0xe096fc9e, 0xc972912b, 0xf1b35c2f, 0x739f014c, 0x01f1f306,
+    0xd52edab3, 0xf9b7410e, 0x5d2bedc6, 0x467ccb5e, 0x79d87b58, 0x0ab801cf, 0xcf626e2d, 0x1a48d849,
+    0x7c219038, 0x13a749aa, 0xd7f6254e, 0xe634bd80, 0x3e23065d, 0xff97e385, 0x71fab781, 0x93c61eaa,
+    0x07e314a5, 0xf7e91c02, 0xef116e1c, 0xd23e8d78, 0xd0a3bec9, 0xcda4980e, 0x4742dc5d, 0xcd4cb815,
+    0xbbc8c0a6, 0xf8939664, 0x5a2194ec, 0x7f62972a, 0xcfb53a69, 0xe51a4562, 0x5dd5ded1, 0xbe7f6673,
+    0xce52a249, 0x7a9d2fea, 0xadeaf3cb, 0x196bd658, 0x0325bd10, 0x27ea0e53, 0xf01cf041, 0xacbc65b7,
+    0xefe66ea2, 0x375b0da6, 0x2baa3447, 0x49f5090e, 0x3117a040, 0x95cf1cf4, 0x0082ec9e, 0x7ea13117,
+    0x4ae94b79, 0x9d94a440, 0xb5ee7716, 0xf976892c, 0x69a74152, 0x753ea968, 0x7692f3f6, 0x1cec850c,
+    0x54dc6bdb, 0x385c85e5, 0x4bbe0d3f, 0xe3bac693, 0x0624cac2, 0x93250786, 0x5ff9051d, 0xb07632aa,
+    0x2bf4ee74, 0x1337827e, 0xf10d9bdb, 0xdc23388b, 0xfee62bbf, 0x94cd6e56, 0xa054a942, 0xdb5499f9,
+    0x09680d35, 0xffa1955f, 0x76633818, 0x5361ed4e, 0x949535f1, 0x9c93ef81, 0xf34d76f1, 0xab354d20,
+    0x128254f4, 0x51657543, 0x7ebae85c, 0x6dab8070, 0x132caf4c, 0x09c6d1e8, 0xc4f7deb9, 0x08763df6,
+    0x2f261947, 0x50f55184, 0x0ffa55e7, 0x65fda2ac, 0x3a13fcfd, 0x9dde46c3, 0xfb01e4a4, 0x59927112,
+    0xe674ffa4, 0x4cdea4d7, 0x3952ae91, 0x35c525d4, 0xf0fe228c, 0xcbe1e9f7, 0xa699ed62, 0xdda303b7,
+    0x53296be8, 0x6ea615b4, 0xa9a00e52, 0x258c62f3, 0x866aebbc, 0x1a5bd309, 0x79ea9305, 0x868bc9ff,
+    0xdeae31da, 0xc3ae0e05, 0xc079bcd3, 0x77f1c482, 0x2ece16cf, 0xc8800013, 0xb92637fd, 0x260cd01b,
+    0x7620beaa, 0x8b1ab3cd, 0x0bd3eb47, 0xb91eb319, 0xbd4f6852, 0x66f3cf30, 0xdac45be8, 0x8c1e4a81,
+    0xa9766d80, 0x2d9df806, 0xc268dff1, 0xe58eba53, 0xbb93bcd5, 0x32cd761d, 0xb3217992, 0x1f9ce6ff,
+    0x8a00067d, 0x4d8c1f44, 0xb5ea00fa, 0x9ae9fa53, 0xfd8ebc1b, 0x36001f7b, 0x312a6a95, 0x9743e2d9,
+    0x7f5d3a7b, 0x69faaab6, 0x905f2a09, 0x48da0eeb, 0x882d5e7b, 0x2fc3014f, 0x9090203d, 0x404d6c00,
+    0x32809f79, 0x0282ba91, 0x3f7040ed, 0x81466625, 0x68b27927, 0x5b9a0390, 0x93d7b671, 0x10b1b82e,
+    0x27fe70e1, 0x0f43f86b, 0x52143506, 0x56ced777, 0x93f81062, 0x9e485262, 0x916b8293, 0xf5158b1e,
+    0xcf4f85fa, 0x99e273fd, 0x405a00e5, 0x2476f386, 0xb23fab6c, 0x28b81779, 0xa5b80491, 0x51c65af2,
+    0xe02d16ce, 0x17187f0b, 0x48b8359b, 0xc7f48855, 0x98ed1eb0, 0xe31c0700, 0xad473b7e, 0xb7b420e6,
+    0xc2118e6b, 0x95f15d4d, 0x46ee3a2d, 0xb45443c8, 0x064d0124, 0xdf12e22c, 0xa770f277, 0xe4735e8e,
+    0x748e4d6e, 0x2072df77, 0x689f1384, 0xc9845103, 0x05bde2d4, 0xbec8c921, 0xdb4d42b8, 0xf7d17865,
+    0x7d260220, 0xba0c04c7, 0x0f918da4, 0x21f715bb, 0x69f3ae91, 0x56e414e1, 0xee70f5fb, 0xa0d86736,
+    0x197a719c, 0x87ef17b6, 0xa6c1da47, 0x8c73acc8, 0xe22605cb, 0xa2912665, 0xc20b780b, 0x72b836e9,
+    0x17077358, 0x13e73f37, 0x67d9275c, 0x0b93d281, 0xe029d719, 0xed978e29, 0x5af9bddb, 0xfdc71337,
+    0x10b45751, 0x754937de, 0x0fb2b75d, 0xea62f30b, 0x85fa6a64, 0xd4a11b0f, 0xcc3965e1, 0xb76e6b8d,
+    0x41b9be7d, 0x319f2c4d, 0x2e0c551a, 0x86508721, 0xe989d490, 0x89e3b765, 0x24da23b3, 0x46a947f3,
+    0xa6597eb7, 0x9ecbc4f2, 0x5790e5f4, 0xf7837887, 0x15bd4538, 0x12b960b3, 0x568fa369, 0x37c2973b,
+    0xb2c2f255, 0xd9cd1672, 0x4e20d724, 0xa13aba83, 0x501f2ae5, 0xdff9f068, 0x5b3d5b9b, 0xd3148b59,
+    0x821cb956, 0x706b6c01, 0x5749db91, 0x9a2242d0, 0xcda234e3, 0xd7b2e3fb, 0x8d7d0321, 0x77cfbe32,
+    0x07bcb673, 0xeed5bedd, 0x03f14f2f, 0x37fb09e0, 0xac8aada4, 0x997b7df5, 0xa2f0c754, 0xac35f5b9,
+    0xd07d801c, 0xd376b079, 0x779d3d5e, 0xa18e5671, 0x98e0604f, 0x16f098bd, 0x56caf5a2, 0xfec18d24,
+    0x46a8fb7d, 0x75318ce2, 0xc49e8255, 0xbe9a3ab2, 0x4bdd7a8a, 0xdd347f6d, 0xacdb0475, 0x79da7a14,
+    0x90b3df97, 0x2b21962f, 0xc21392ec, 0xe4a03fe8, 0x954040ee, 0xd2e184ad, 0xd101388b, 0xf6413b7e,
+    0x32d12840, 0xefd6ee48, 0x9f6ed28c, 0x4617c14e, 0x4ef020e6, 0x2d23dd19, 0xc684dcce, 0x1f2cba69,
+    0xc8fe5887, 0xf5082ab2, 0xd49a66a7, 0x3b4112d0, 0x5e8db75f, 0x1b1a886f, 0xc41a83ef, 0xe628123a,
+    0x80070473, 0x995245a7, 0x5989e3a0, 0x19e6d961, 0xa1c63097, 0x1009a2a0, 0x967ed83c, 0x80e55b3c,
+    0x82db269c, 0x76eeef70, 0x68895b83, 0x20b21629, 0x1ca90588, 0xe653472a, 0xbaf6c013, 0xe6c6cae0,
+    0xf4b4bbff, 0x97cb8ebb, 0xf8a92669, 0x7e1478ed, 0x5564e6c7, 0x5625e8bb, 0x2c200bc8, 0x997f3dfd,
+    0x4d06ee15, 0x8cc6a0fd, 0xcb15b646, 0xd9bb7f8e, 0xce36033e, 0x56b32336, 0xbb4640be, 0xecfd9d18,
+    0xbda025e7, 0xac134598, 0x49a10674, 0x97735f1a, 0x27faff3c, 0xdf507e7b, 0x1ea72bf7, 0x317e459a,
+    0x85f8b371, 0xdd445da7, 0xda28ffbf, 0xc8de06bd, 0xbd2444c9, 0x3a9574e5, 0xfd894666, 0xe38073c5,
+    0x181763bb, 0xc075d4b1, 0x78ea4a36, 0xea030081, 0x60a6369d, 0xa7619dc4, 0xef828943, 0x0c0f8c64,
+    0x473049c6, 0xd1ec2be2, 0x1c137714, 0x780a7f71, 0x1477de0e, 0x98fc220c, 0xe8e22426, 0xbfb8f83e,
+    0x9171e451, 0xb5a9bb65, 0xdc15ae1f, 0x9f008cf6, 0x8328a734, 0x900415d0, 0x9c65426a, 0xf972f562,
+    0xf5cd84c2, 0x94d2311b, 0x3913a2d6, 0x9bb58beb, 0x34acc3a7, 0xc3567839, 0x68dab9ed, 0xbd754a46,
+    0x58242553, 0x29dcca20, 0xf7ef9949, 0x496f9b1d, 0x60a222fc, 0x77e49b13, 0xbea8848d, 0xe9caa6a0,
+    0x37c1636f, 0x0503d896, 0xda3edd1a, 0xd1171299, 0xa59555bd, 0xc497b29a, 0x80c7fae6, 0xe16d9e91,
+    0x3992057b, 0xe19fbf6b, 0x872d14a2, 0x58f2572e, 0x3e36f716, 0xadc2405c, 0x6cb0f7b0, 0xd8b6c76c,
+    0xbd69ede5, 0xb814ab28, 0x4ac51825, 0xeb5ea597, 0x1273d396, 0x94b6fa2b, 0x0d51e5ec, 0x9a3898d7,
+    0x226957f2, 0x1fdff924, 0xa9c54f55, 0x4f5bf22d, 0x546a1712, 0x69238def, 0x145b28a6, 0xa7e52c4b,
+    0xfbb8315a, 0x5295d2d5, 0x7d569fa9, 0x7309879b, 0x9e55e6cf, 0x5516eefe, 0x73d80094, 0xaf7aafdd,
+    0xbcbd2c80, 0x15ec6a9f, 0xc4d8da17, 0xd0dbd1d4, 0x6714d669, 0xbb45a648, 0xecb5d756, 0xc33ec1e9,
+    0x75c709cc, 0xce949dc0, 0xaa0582f9, 0x0865878e, 0x6c9f935c, 0x07c15ed8, 0xe00f37a0, 0xae0500f4,
+    0x75798e99, 0x5d0b1846, 0x2fdaa77f, 0x94f663b8, 0x9607cf65, 0x33ee2aa2, 0xcbaa496b, 0x28237ebc,
+    0x2c4d8a10, 0xe800cfd6, 0x7f92daf6, 0x172274ea, 0x8d6a22e5, 0x5bdc6d12, 0xc1fe555c, 0x3db03790,
+    0xbfe9ac2d, 0x9ac41e27, 0x94a39639, 0x247649f8, 0x5ba11149, 0x146bd608, 0x3648508b, 0xb4bee195,
+    0xc9922019, 0xa05ee599, 0x615e243a, 0x5078a1da, 0x69688a62, 0x1aaa5de1, 0xa70178f8, 0x52581b1c,
+    0x880813a4, 0xf6188a2d, 0xb199f158, 0x79b17b42, 0x52651197, 0xe9cdfaee, 0x70af2eb2, 0xd79a18c4,
+    0x9eaa1123, 0xf3c4dfac, 0xc001111a, 0xa92d1ac4, 0x20c9d557, 0xefe73105, 0x85077e65, 0xd08e93c8,
+    0xe05df859, 0x1da1f135, 0xf59f1d56, 0x8927f516, 0xd2564fba, 0xc3592a37, 0x6257621c, 0x4c61fcca,
+    0x7a1ff529, 0x0c5780fd, 0xc7315e72, 0x194e255f, 0x3632c348, 0x5304c87c, 0x645c87e2, 0x54c092b3,
+    0xc5fee2d0, 0x9235b4fb, 0xe25a60ce, 0x8c9c749f, 0xd2efd7b1, 0x41440a40, 0x4cf35fa6, 0x759d09df,
+    0x3305c412, 0x66e5c923, 0x00a03903, 0xa7b40d75, 0x36dfbeed, 0xe61ef991, 0x255c2014, 0x6b1e1282,
+    0x055bf48e, 0x2aa9bee5, 0x6a19e04c, 0x084aec4c, 0x7b9e34d4, 0x6915d250, 0x3534f5a1, 0x632f9ead,
+    0xc2386929, 0x37c4b62a, 0xeb41a1f0, 0x239c2613, 0x85014fb2, 0x0950de35, 0xe9ea0631, 0xb916fbf9,
+    0x899160df, 0xeb7da18b, 0x908e3d58, 0x2b418e47, 0x0221ca5a, 0x621497ff, 0x361c6059, 0x03f39c35,
+    0xa1fd5eea, 0x25a2118c, 0x0ff8016a, 0x36f00956, 0xab10918c, 0x75cd322d, 0xd94fed42, 0x46665eeb,
+    0x05eeade9, 0x7ddbcc05, 0xd16b2384, 0xc442e0e6, 0x1f04c705, 0x8093e900, 0xf99903fc, 0x2107cd22,
+    0x95de1223, 0xf7efe151, 0xb79d0cad, 0x735d6a57, 0xf19c13a5, 0x37d2aff4, 0xf4235169, 0xc5f985ed,
+    0xb1dc6a1e, 0x801a5edc, 0xc8472301, 0x716c7b86, 0x1a55576b, 0x8f19d711, 0x681f9ded, 0xaaa8c073,
+    0xb42db0be, 0x14c5364a, 0x4d70320a, 0x0e7b7c1f, 0xcadf58c0, 0xaac2e74e, 0xb2f30ba8, 0x55c72ed7,
+    0x45cac3a0, 0x1e017330, 0xf196db76, 0x079dbd3d, 0xcb9894cd, 0x4d9c0235, 0x6e548204, 0x220d6796,
+    0x9ae505d9, 0xc6c2898a, 0x0412dac4, 0xe8c07b24, 0xa407982c, 0x260827c9, 0x711e3aa1, 0xe2385e97,
+    0x963131dd, 0x2d1f7803, 0x36919b8b, 0x4bd3949d, 0x36c13e88, 0xa195c0ed, 0x295111ab, 0x74455a8a,
+    0x9c74b3b1, 0x8db73917, 0x17650d4c, 0xb6824f50, 0x1a194695, 0xcccfce9f, 0x5cb480f8, 0xe80a6f0a,
+    0x269165fc, 0x199deeba, 0x1c0ab530, 0x6d79c8bc, 0x4c4c0cc7, 0xaf0ef8a5, 0x8cc03366, 0xfc09fd79,
+    0x08e8c275, 0xf3b27af8, 0xf1d540c4, 0xafd38164, 0x457f96a7, 0x7faa1404, 0x9b8a43cf, 0x28f11c5f,
+    0xc8ec4bbe, 0x1e8ab879, 0x3fb8959f, 0xcf9c2def, 0x50c15776, 0x5ba31381, 0xff9154b5, 0x891a4e5d,
+    0xab230968, 0x3916de39, 0xe2ce3c5d, 0x780c0a89, 0x1b3e8199, 0x84d5f558, 0xfab229cb, 0x400fc8dc,
+    0x78dcda72, 0x579b3232, 0x85071267, 0xb09bff57, 0x5a1a2acc, 0x2a7967c8, 0x2d7e4947, 0xb0e4de46,
+    0x7a4987c4, 0xae14abde, 0x2bb64c03, 0xeca283a1, 0x33ddac1a, 0x84aa39ad, 0x323e1f14, 0x509fb4b4,
+    0xbccee63f, 0x17413b7e, 0xee932208, 0xfbb51d33, 0x903297c2, 0xe6e0260d, 0xdd09ab45, 0x5a13c2c7,
+    0x972f181c, 0xf56468e5, 0x189ebcb4, 0x18cfe939, 0x615dd919, 0xcc4a0abc, 0x9d5f7e1d, 0xf3a7f25b,
+    0x26f1adce, 0xc9111916, 0x8c9ced48, 0x964f70c9, 0xdba80393, 0xbda80f54, 0xcf591931, 0x8bb08e14,
+    0xcf6d55e1, 0x3b96f4c8, 0x213f75e4, 0xdf1941cf, 0x80dca385, 0x0b4fdbfc, 0x86cd8cde, 0x49899599,
+    0xc202e1b9, 0x847b7a62, 0x3b32c7b1, 0x8b917de9, 0x54ddf258, 0x570390dd, 0xe4aeb4d3, 0xed99f6e9,
+    0xa61d0297, 0x36be5a26, 0xb293ed52, 0xbd880ba7, 0x4b75cae3, 0xa4b30795, 0x3a4592da, 0xfc7f3977,
+    0x4e5e6725, 0x627d936d, 0xa05c25df, 0x434d2493, 0x8a37c76b, 0x20532519, 0x28456015, 0x3aa82cbf,
+    0x9a8fa67e, 0xf64a66c9, 0xc075d950, 0x1b572785, 0x2d0438a2, 0x97e28f81, 0xed8eb4e3, 0x1e906ad5,
+    0x11e14dff, 0x4bef5708, 0x61446665, 0xf424b83c, 0x5e70e6da, 0xcdfa5792, 0xc7755887, 0xbed429c3,
+    0x36d4dbaf, 0x79a275ae, 0x982524df, 0x3fb0b218, 0x53819981, 0x648596f5, 0xcabff949, 0x179a8341,
+    0x812800fe, 0x2af56b54, 0xe5d8bdc9, 0x1f8f9736, 0xe096e47c, 0x290c0786, 0xf38b1456, 0xb56659da,
+    0xac20bed2, 0x8c56b915, 0xb3b2d389, 0xcde48e3a, 0x2245eb25, 0x56a8e3ac, 0x987b6829, 0xe4824c45,
+    0x67bcb848, 0x8c57c5c6, 0x1ca94aee, 0x42376029, 0x8b87bbda, 0x8c755203, 0xa64746da, 0x1ec9cc35,
+    0x899a7a21, 0x8dc9048e, 0xbba688a4, 0xfa70df0c, 0xe80fe80b, 0xc2b8fc88, 0xca6fe7ff, 0xaf07ef2c,
+    0xa9ca631b, 0xf18d062c, 0x3d19e47e, 0x4b2ba7cd, 0xff7dc9b5, 0x622d526a, 0xe90d2ba3, 0xf2397da8,
+    0xff46dc02, 0xa6392a78, 0x915fb2e7, 0xc7f2fa96, 0x5eb7d49f, 0xb2d5ca20, 0xa0ab6c65, 0x0b6feccd,
+    0x6bd6a622, 0xbbc2bbcc, 0x2db03283, 0xf123d9cb, 0x6f619c72, 0x40e80605, 0x90969b42, 0x074cf673,
+    0x790b810d, 0xb82b946a, 0xb90bc323, 0xc982aa06, 0x9e0a5ff8, 0x4ab89830, 0x8c13d80d, 0x08b9c3b3,
+    0xfb40a7fb, 0x9bcb7186, 0x95257e8d, 0xee3b0654, 0x2380b0db, 0x2af2501e, 0x9d7d3820, 0x560ca859,
+    0x809bf19a, 0x2e3f20b3, 0xc36e9dc8, 0x352d4b14, 0x3bcd2276, 0xa2d47f11, 0x0245aee6, 0xae601092,
+    0x826826da, 0xae55d79d, 0x8b6ea081, 0xbf39ed14, 0xf5a1e5fa, 0xb0b364ff, 0x34a2dca5, 0xbbf8a505,
+    0xfbdcb344, 0x0dc12c38, 0xb548b71b, 0x194d35b2, 0x44881646, 0x4b7df288, 0x79a1a904, 0x7142d3a7,
+    0x0fdd7db3, 0x783c88fa, 0x8d2b1eed, 0x8a745b37, 0x9256f82d, 0x2f1207b4, 0xf8235864, 0x29e04dc0,
+    0x70c88058, 0xcec76da4, 0x2fc48dad, 0xca04fa8e, 0xecd8c5ac, 0x1783d3e4, 0xddb2c0b2, 0x44cf3fe0,
+    0xa0a3e2c2, 0xe4ca9452, 0x58b2f548, 0xac1a2a43, 0x0fb75f49, 0x4706ec04, 0xa737d762, 0xe3916346,
+    0xab9f23e7, 0x9aa575e9, 0x07299b14, 0xc2c7a9d6, 0x75c21dd3, 0xcc4521c1, 0x2b3e04b0, 0x211411f8,
+    0x28580c0c, 0x0ff5fcc9, 0x290ea139, 0xa32009e7, 0x9951bae1, 0x114e3ed7, 0x4db9296d, 0x9886c513,
+    0x88199ee1, 0x5af11670, 0xcde11fd1, 0x334afa89, 0x1fbf4e88, 0x8f67c9d1, 0xb6a72736, 0x02ef2cd1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000018\
+                         52673427797059126777135760139006525652319754650249024631321344126610074238976 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a,
+    0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d59010, 0x5cf0b39f,
+    0x00000000,
+    0xdec29245, 0x22222750, 0xac145a90, 0x14433862, 0x933206d5, 0x9ab800a0, 0x52b64a7c, 0x86abfa9e,
+    0x8cf55b4d, 0x86c64b1a, 0x0f1df5df, 0xee623e3c, 0x53645fd8, 0x1dfac9c5, 0x4600f8a5, 0xee63ce41,
+    0xc14f32d9, 0xd561ad9d, 0xcd76a5d8, 0xcec9b2ec, 0xfc811593, 0xa514a14f, 0xa275d0aa, 0xbd9a55a8,
+    0xd26c01ff, 0x90960e0a, 0xc9867e96, 0xe41851fa, 0x5505f859, 0x33736dc4, 0x877b2752, 0x3fc2a513,
+    0x45b6929c, 0x2340e9ef, 0x388e23f0, 0x3b346aeb, 0x213567e6, 0x78808c47, 0x1d70de8b, 0x0194e6b3,
+    0xf7e07665, 0x1cfbb488, 0xd25a89cb, 0xf54faaa3, 0xa29f468a, 0x548aed1c, 0x8fb47846, 0x87b9d88f,
+    0xa6c92634, 0x04658549, 0x60535ba8, 0xeb8f495d, 0x6eefb92d, 0x4568aec1, 0x2bfda949, 0x53dde2bd,
+    0xd401528f, 0x9256103d, 0xf2d065ba, 0x118c1f23, 0xe9bca393, 0x34884484, 0x60411306, 0x319dc910,
+    0x724bd3dc, 0x3587500d, 0x5440902e, 0x0f334144, 0xbf20c7bc, 0xfc95ec55, 0xf8e14029, 0x6dcf6fcb,
+    0xc256f34d, 0x51e99439, 0x90560045, 0xc87c0d05, 0x916c3a9f, 0xe3c94ffd, 0x2b1975b7, 0xe65ca977,
+    0x6d6b681d, 0xd65da4bd, 0xaf19769b, 0x527dc8fb, 0xa4c9216c, 0xb71409ce, 0x848da265, 0xc7cc748f,
+    0x398e590a, 0x851a36df, 0x07c2f3a4, 0xcb66481e, 0xc703c6e5, 0x07d7e84c, 0xbd75aeda, 0xf36f1289,
+    0x4f031717, 0x3be97416, 0xa4433b2c, 0xf0b08c8e, 0x74c4a97c, 0xbcf57176, 0xedbb3a02, 0x63c84033,
+    0xf9f43006, 0x38c1083d, 0xc4189d63, 0xf8500617, 0xf5f54d68, 0xab6e3029, 0xc42f3b08, 0x852fb418,
+    0xfd9f69ec, 0x07478a55, 0x48ee55e4, 0x8b8bae63, 0x49fdb85d, 0x18d3ed56, 0x2088fd25, 0x130ac217,
+    0xe9d795d9, 0xd80a9d32, 0xf76b8431, 0x7deef28c, 0xd8cc1e27, 0x9fccda36, 0x35153866, 0xf11b35c3,
+    0x6b7d51db, 0xc8f88034, 0x5f9c0f21, 0xcce8cb8c, 0x753f5c83, 0xc15e5e1d, 0xaa29ab7e, 0x0e824abd,
+    0x7a29ef5d, 0x2e5d6b83, 0x836f6107, 0xe0a7f7e2, 0x3a095e89, 0xd045aab9, 0xff46084a, 0x32259855,
+    0xb472a19b, 0xffa8b1ec, 0xa9df851b, 0xf99963ba, 0x07dabeb2, 0xe0192dbc, 0x0c8289b5, 0xe1ef66bf,
+    0x4e63fd0b, 0x8f142031, 0x9bf34853, 0xee14ab8a, 0x01fc7476, 0xcc2cce3c, 0x0aba5178, 0x39de4863,
+    0x3e49d8f9, 0x2e71d33d, 0xb5ce4aef, 0x8348eab9, 0x89f71480, 0xbc6e9fd6, 0x85bf15ae, 0xd614024f,
+    0xd4fb32f1, 0x372b1c86, 0xb0641339, 0x183bc601, 0x303b6dd8, 0x2c617f42, 0x9a87d245, 0x5646d8eb,
+    0xb2494b2c, 0x78b3be88, 0xc80064f5, 0xcefccde5, 0x572be838, 0x459d048a, 0xdb2bf8cf, 0xfe95370d,
+    0xd7f97510, 0x0128225a, 0xa5050cd6, 0x04dfd3f4, 0x16f35aee, 0x175def5e, 0xaaa2f51e, 0x145afb08,
+    0xb2e9f5bf, 0x77e49c53, 0xbab78e91, 0x53751101, 0xec1e53d3, 0xcc542b66, 0x0d54d336, 0xc12f94bc,
+    0xe6d10b37, 0xcb764d3b, 0xef1cac6a, 0x2877cb60, 0x6c62ca51, 0x34a9c038, 0xd72d984e, 0x396bdbe8,
+    0xab8622e3, 0xa2ffba8f, 0x4793a7d5, 0xc5b30be6, 0x95c0ab5d, 0x75438108, 0x17b73b33, 0x9daff33e,
+    0x1981bcb4, 0xc3f71fef, 0xca71724e, 0x7e5658ca, 0xb5401b9b, 0x4b50e34d, 0x93703690, 0x210905e6,
+    0xd71e039e, 0x5f1fcde3, 0x4f5c1bd3, 0x5b385071, 0x04803ecc, 0xcc7f438d, 0x63672c22, 0xb31b2564,
+    0x8c089323, 0xbecaa018, 0x174e1861, 0x4b90e3ed, 0xa077328b, 0x88d8825b, 0x2a8d5d5a, 0xb633f775,
+    0xe202b321, 0x25dfeb59, 0x5dc17f92, 0x89de2de8, 0x1a05f27c, 0x50187e43, 0x33798611, 0x264b33a6,
+    0xb52f4aa0, 0x95116dbf, 0xc2afe6d2, 0xc6cfda36, 0xd2881cfc, 0xa397a0e5, 0xe29aa6ae, 0xa2bb54fe,
+    0x56958b49, 0xb4cec176, 0x92a09a2b, 0x59e00321, 0x2470087d, 0x1fc3233b, 0xa99bab90, 0xa3a5c6bf,
+    0xe80bb107, 0x8974dcfa, 0x454c6423, 0xa096d070, 0x201fd598, 0x4d82348f, 0x55d596a6, 0x15fe622c,
+    0xe553121b, 0x713c6944, 0x068b4b1c, 0x1ade17f0, 0xd6880e98, 0x641e51f2, 0x5387cbdc, 0x672d4772,
+    0x1eb684b8, 0x455e6169, 0x9faba797, 0x7e2b5d84, 0xda3f5cb5, 0x37249306, 0x7b81994e, 0x05d87777,
+    0x83f8b95d, 0xa8da746c, 0x2c910aba, 0x9ccb8a63, 0xda82bcc8, 0x1f23a907, 0x988797c6, 0x6abf49bb,
+    0x5aa900db, 0xa1cd07ff, 0xb5efc870, 0xd13e79b7, 0xa2425e3d, 0xa1e496ef, 0x78af7b9a, 0xbe035da0,
+    0x0c9d4234, 0xa8d4b633, 0x78450495, 0xb19ba5e3, 0x84c6944a, 0x115e24b7, 0x157a594b, 0x711d2cec,
+    0x92046322, 0x14633bd4, 0x32aeb5ea, 0x7805aa5c, 0x389847b4, 0x9a4d2864, 0x8808865b, 0x72a34ffa,
+    0x38e08074, 0xce0181a4, 0x0280729b, 0x331343c4, 0x205bfb51, 0x766a7b1c, 0x2fbdfd06, 0x774ef7b9,
+    0x2cf5c620, 0x0eb58e00, 0xc6aa2029, 0x8569b827, 0x76a9acf5, 0xf4bc92a5, 0x7078d829, 0x95def957,
+    0x790ec8c4, 0x3121268d, 0xc3d2ca94, 0xeab422ab, 0xed77981c, 0x96eeea64, 0xc5754c1c, 0xca782977,
+    0xdfc61148, 0x2fd7da29, 0xa5ffe117, 0xbf8ddfbf, 0xe8e5d3ec, 0xddb2d070, 0x1f714f46, 0xbb5e0e37,
+    0x51d1c094, 0x5d5ab124, 0x8d8eff28, 0x6973a3e2, 0xd4ad462b, 0x3ea2f910, 0xfad8ffac, 0x59fa5cb7,
+    0x11626204, 0x5452bdf5, 0x1a920a9b, 0x4d6653a9, 0x65c03671, 0x515b007c, 0x1a695653, 0x09c1a671,
+    0xcb414f9c, 0xbfd3fcce, 0x15e94dda, 0x5dda74cf, 0x700ff82b, 0x5ccd85dc, 0x9f74420a, 0x2bce458a,
+    0xab7502d8, 0xc25f7ae0, 0x93bdafe2, 0x424f6d05, 0x0fc57d8c, 0x62f4726a, 0x9dabf94b, 0x07654b9c,
+    0x2173710a, 0xdefd7a26, 0x259b1974, 0xe5272377, 0x50a62179, 0x4443a7c1, 0xa4829a71, 0xc3764dd3,
+    0xd5c19266, 0x8e4b69e5, 0x7ee9d0c8, 0x0a2f1876, 0xfac2f337, 0x3e046d11, 0x9f3eee9c, 0xb000b76f,
+    0xd96db602, 0x428faa64, 0xe42227be, 0x9c7188e6, 0x1686da09, 0xefe542d3, 0xe73caba6, 0x3d653e8c,
+    0xb4318cf9, 0x43291653, 0x03166a5a, 0x601c213e, 0x4c948a5b, 0x9248b061, 0x4242b03a, 0xccfb5445,
+    0x6d56fb4e, 0x5e090478, 0x84c502e1, 0x980c49e0, 0x2f02faca, 0x9341d67c, 0x9b2dd492, 0x54e5cfd4,
+    0xa4996532, 0x495a2d88, 0x39d092e4, 0x907fb021, 0xc4f3c649, 0x1b9a077d, 0xe9c7cd9d, 0x8bde8084,
+    0x3c3d3027, 0x8ab167c7, 0xde8cc932, 0x48d32861, 0x2045b12e, 0xb25fc1a9, 0x44a1925b, 0xe3c79304,
+    0x7b6248b1, 0x62b676e6, 0x644e09de, 0x9ae28338, 0x4e098962, 0x41b24b01, 0x783c79d4, 0x1c93d055,
+    0x0e22659a, 0x3490017d, 0xfdc319b0, 0xb4b02e11, 0xcad51ec3, 0x6d934f5c, 0x98355cc9, 0x2456d12c,
+    0xd200c037, 0x377f7149, 0x5f69120a, 0xb7f510db, 0x8eee0c5c, 0x8797610c, 0x6aef4f45, 0xc037b9c3,
+    0x53c8def3, 0x004a91e3, 0xd36faee0, 0x264092f6, 0x598a2125, 0xa8118a1d, 0x9ee150ae, 0x9e9edcf5,
+    0x88bc7c1c, 0x46294ba4, 0xbbd8e471, 0x06ee0e71, 0xef235c62, 0xdffe202b, 0x5a7d2793, 0xcb21c1cd,
+    0x2c6e0271, 0xabbb456b, 0x70c981f9, 0xe529640c, 0x9afaea25, 0xf2352cda, 0xccaa8fa4, 0xcfb714f7,
+    0x89f7c654, 0x0cdab280, 0x659f01d7, 0x4914d263, 0x0b2176dd, 0x562ab13b, 0x03c99115, 0x4cacdf19,
+    0xed6d6dc9, 0xe44604b3, 0xd974e737, 0xb9197a39, 0xa225e4f2, 0x324cc1ae, 0x42e58a35, 0xae697991,
+    0x884693ca, 0xdaf79dd9, 0x1068df89, 0xce534cc0, 0x2aca1cd1, 0x28b58280, 0x37c76d82, 0x5d51c00e,
+    0x10749831, 0xbd2742ac, 0x6d9a17fa, 0x7f0a9211, 0xa9689618, 0x36f92473, 0x7309ecb3, 0xe705dfb6,
+    0x14c752aa, 0x55432b16, 0x0d339c7c, 0x131aa613, 0xc0d67cc8, 0xc5ee9d4f, 0x72e94dcf, 0x04388d3e,
+    0x00035688, 0x80519802, 0xc134f29e, 0x99df12cf, 0x897213dd, 0x637474e2, 0x781449dd, 0x80c758a8,
+    0x02e588b7, 0xdf9e70b4, 0xdb40107a, 0xab578002, 0x19bce948, 0xa2934945, 0x2b6bb037, 0xd641f2a8,
+    0x217bd29b, 0xace7cf74, 0xceaa5273, 0xd252c2a4, 0x0adb3cfe, 0xdcf489a2, 0x105ac7f3, 0x80cdd3fc,
+    0x857d20ab, 0x6abb8de1, 0x6005ec86, 0xf18493f0, 0x18363620, 0x92b61d1c, 0xc7c30f39, 0xf1135cab,
+    0xf8f0b2a5, 0x4935d4f4, 0x261f4e47, 0x1c1d4579, 0x03619069, 0x860057b3, 0xb1327c7d, 0x4b9e12d1,
+    0x11b51066, 0x03a1f12a, 0xc984efcc, 0x3b7557a9, 0x4b74b4bf, 0x493bbb8d, 0x2a31ae72, 0xfb0fed98,
+    0xf0a3aa89, 0x691c3bb9, 0x1fe8d738, 0xeeabb433, 0xe232b4fe, 0x4e13bd9a, 0xaaf5de47, 0xb421ab3c,
+    0x603406c5, 0x79eefa55, 0x7f046466, 0x12b84aad, 0xd9815ba3, 0x250c60f1, 0x64cd0448, 0xe4400958,
+    0x8dfd0894, 0xa347a883, 0x699c8935, 0x6949106c, 0x34bf8ed4, 0x4f94d8be, 0xc5eef058, 0xb083b79f,
+    0xb58dba29, 0x992c2aa1, 0x70f0215f, 0x4ed42b65, 0x3f139296, 0xb9b9f40b, 0x46321a6d, 0x3e7a0a2f,
+    0x674ab9a0, 0x7dbe7e24, 0x6a0e5e73, 0x97398153, 0xf4fdb2cd, 0x5dd2309a, 0xa2526301, 0x087664a2,
+    0xa6d98f63, 0x6b950da7, 0x61cdda70, 0x8a8c6ea6, 0xcc83144b, 0x5e921981, 0x2098b4c7, 0xa4a1901c,
+    0x571f53d1, 0x863dc3b6, 0x778298fd, 0xd788d2b3, 0x04e18a52, 0x2a10a1fd, 0x8d02ecf1, 0xd25d0768,
+    0xd69616d5, 0xccab77c5, 0x712b539a, 0xf2127f86, 0x9e8332f1, 0x550f833d, 0x7a08f9b4, 0xdf14216d,
+    0x1a39e3cc, 0x8d356568, 0x5fef42ce, 0x735dca15, 0x25d9bd09, 0x7c38cc59, 0x67b5a831, 0xfb987da4,
+    0xe0a803db, 0xf159dd81, 0xe5ca2e1d, 0x6cfcc202, 0x51083892, 0xc4a07afe, 0x29d12606, 0x83f9cfd5,
+    0xc036b9d7, 0xb3c2630d, 0x7e094ef3, 0x142943cd, 0xa4d3f6ca, 0x20ce974d, 0xeec3ac61, 0x0c72cbb0,
+    0xb7c8591a, 0xc5f31c63, 0x978e8d91, 0xf6eb6390, 0xc65dba5e, 0x9d15bd17, 0x1540fe73, 0x2e6b7cb7,
+    0xec3436cf, 0xf48802f8, 0xd95183b9, 0x69bc9ba3, 0xf3df8092, 0x4941a318, 0x7c53c30f, 0xaf690ccb,
+    0xaf90a555, 0xdf7cf48e, 0x5fa647a0, 0x8b68be95, 0x177d9591, 0xd8bc5767, 0x47d9e508, 0x94b34ec4,
+    0xb2d40d9f, 0xfaa6363a, 0x4b7837bd, 0xd9821c09, 0x08e6f2a0, 0x0d01e74d, 0xab63d844, 0x862e34b0,
+    0xad034ef2, 0x5e3e980d, 0x45e8e3f8, 0x38690c7e, 0xfdf7f504, 0xe8f27eee, 0x36650822, 0x65fc856f,
+    0xad37f8de, 0x0d48e2fe, 0x419027ab, 0x77fd6fd7, 0x2d7ea1e4, 0x766a2b2b, 0xbf600621, 0x24050e10,
+    0xd602bb5a, 0x2011c6f3, 0x7f59c82f, 0x5517a664, 0x8f6608b4, 0xb95c30ba, 0x1213effd, 0x3c6ed2c1,
+    0x190fac3e, 0x4cbefc70, 0xf131a05d, 0x8857e484, 0xadc88d43, 0x2010ce40, 0x99da34dd, 0x00a95d7f,
+    0x758ee8b5, 0x750aa0f5, 0xfa4da533, 0x47120112, 0x0839b55b, 0xd0d6581b, 0xefd42989, 0xc0750003,
+    0xca36be4b, 0xe2a82c70, 0xf0983232, 0x5148e357, 0x999d1283, 0xa63f2680, 0x51a5dca7, 0x542c6c62,
+    0x20bb493c, 0x7c315f12, 0x88223fea, 0x26231732, 0x7c4b7451, 0x6cc4689d, 0x64eb4ace, 0x81a46d9f,
+    0x972bfac6, 0xf204c182, 0xa4377423, 0xfe544908, 0x69eba1c8, 0x91e4b5b6, 0x1dff92c3, 0xef593574,
+    0xdb8f8bbe, 0x13b5454f, 0x013c8ea8, 0xa4907dcb, 0xbedb58ad, 0x40f8ae08, 0xaaece349, 0x5e755834,
+    0x0aaa4c6a, 0x64711685, 0x572c79b1, 0x5906533c, 0x4aca1269, 0x39f5ec8b, 0x32ed17b7, 0xda0a4805,
+    0x8a2cdef1, 0xa8681a5c, 0xde71872a, 0xa4d7030b, 0xbfe6fc7c, 0x73bace91, 0x70fa26c5, 0xffe2584a,
+    0xfedaa403, 0x31636465, 0x91095503, 0x08ffdd56, 0x2df97aba, 0xec7107b0, 0x1942de91, 0x174b5efb,
+    0x3834ba51, 0xfcbc4098, 0x795fa9a7, 0xcc623cda, 0xa6b3c876, 0xafdb1fae, 0x153af1f2, 0x61cdeb82,
+    0xe58baf08, 0x49bbac4f, 0x3d7f047e, 0xfb87307b, 0x316052d5, 0x707eba81, 0xb9cd3d19, 0xd1b749a0,
+    0x0e933e25, 0x776e36c0, 0x8370e11e, 0x80ac5ad1, 0x58c7d2e0, 0x0689978c, 0xce89883e, 0xef7210ff,
+    0x477791d7, 0xd690d162, 0x5eb9c191, 0x8b3b2287, 0x0c056eb7, 0x322f930b, 0x967bab40, 0xfc9bb20b,
+    0xc32a6de6, 0x2943d8d5, 0x8250a1c3, 0xec9a0721, 0x28bf115d, 0x106b77be, 0xff38ca99, 0xb0a00e3f,
+    0xaf482770, 0x95861406, 0x42386521, 0x838eab8d, 0x5f9bb864, 0xad89d735, 0x245ee388, 0xe1f3d7a7,
+    0x24cfa2f3, 0x8a9bf294, 0xf4402dca, 0x0e5c3cd6, 0xee1c424c, 0x0726e384, 0xe21d1686, 0x6b0d96cf,
+    0x0739690e, 0x9201bf91, 0xd256b5b8, 0xd907cde5, 0x4b52f1a0, 0x56f5a6af, 0xe8efb5b0, 0x0263ecd6,
+    0x23d03f50, 0x04cec97e, 0x968b993a, 0x3b9e0b61, 0x149ae53a, 0x714c8c51, 0x38b443a0, 0xae02a131,
+    0xf1c2005f, 0xb4e15297, 0xd743b430, 0xd43d3c5e, 0xb8330ae1, 0x94e7279d, 0x5e4a5502, 0xe978ac64,
+    0x4ad81d66, 0x23f1d92c, 0x92f3fef1, 0x9fae47c2, 0x6b61db8b, 0xd1a6c615, 0x77e16845, 0xaed36332,
+    0x987188b8, 0xb69a5d4e, 0x52ddc745, 0xddf4676b, 0x15c41ec7, 0xa0b114d6, 0x9c7d0ce9, 0xc0439222,
+    0xba9f41b9, 0x926a3699, 0x36932f83, 0x71b6653d, 0xa38b324d, 0x2894f08a, 0x2a60b643, 0x41610ce0,
+    0x8feef078, 0x67a061fc, 0xae8a24f1, 0x93e836d0, 0x254cdead, 0x391932dc, 0xa56a87da, 0x0bd52531,
+    0x9a3c1194, 0xd8c789e6, 0x98df080b, 0xa8be7f4c, 0x082bb27c, 0x633057d6, 0x91c21a92, 0x2df5eae9,
+    0x57c4de80, 0x8f72c9da, 0xafc1798a, 0x0816dacb, 0x505d3a60, 0x310f1d51, 0x0d14b5ce, 0xcb260ae0,
+    0xc6fa0ec5, 0xd28c3a77, 0xaeb9af1d, 0xb445de4b, 0xa776fb3b, 0x0b5d1cb3, 0x29972d38, 0x0e13a454,
+    0x04fad4a6, 0x53bbde80, 0x93814ea5, 0xa54030b5, 0xf4051d21, 0x0bbc044b, 0xc3fa74c4, 0x8ec2fa59,
+    0xe618de34, 0xd68d1f5f, 0x6f8d3c1f, 0xdb98685b, 0xf5f39771, 0x8b76ea0d, 0x1558670f, 0x71dda414,
+    0x73dd8ac1, 0x3c8c3b38, 0xd7232bd4, 0x368950a2, 0x89abccbe, 0xa33b5718, 0xd7a19b74, 0x3126ba21,
+    0x22582260, 0xc5801013, 0xb91ec266, 0x179cbc61, 0xb2bd7ddd, 0x7c023c2f, 0x2e75cd12, 0x94881111,
+    0xc3f8cb64, 0x0dc20793, 0xcb53e72e, 0x8d49aaa8, 0x6b631f36, 0x77d8c3e1, 0x87107bee, 0xe84928e5,
+    0x3b8e0bdf, 0x71f43b37, 0x9bda380d, 0x0369fe90, 0x39d116d1, 0xe4f1a3d9, 0x342d1b77, 0xee81fab4,
+    0x3117dbe5, 0x40109990, 0x113739ce, 0x4ddf8c65, 0x2f8b60e7, 0x8116fdab, 0x9c53b55c, 0xd8c4fce1,
+    0x05b1b7d5, 0xb867663d, 0x2555cd19, 0x1ab617cd, 0x2b4fa782, 0xc6711de2, 0x68804780, 0xd4f9636a,
+    0xb354ae16, 0x8a9e0d38, 0x95e1c31e, 0x7a5837ae, 0x9babac59, 0xa97d01b8, 0x98d4caf4, 0xf96e8eac,
+    0x364b9ce9, 0xdacae11d, 0x068fd003, 0x9b26fd5a, 0xa1ad29fe, 0x6400b3f3, 0x3734aa5b, 0xe6e856ec,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000009\
+                         26336713898529563388567880069503262826159877325124512315660672063305037119488 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d,
+    0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac808, 0x2e7859cf,
+    0x00000000,
+    0xa8dbd8a3, 0x32ae24af, 0x559a6382, 0xf129cab9, 0x016a25ee, 0x59c233f6, 0xc4135f5e, 0x79de0aeb,
+    0xbc8b9e0f, 0x7190011b, 0x559e518d, 0xe3d5c86c, 0xb930afeb, 0x1166209e, 0xa64d8a62, 0x1e784e9d,
+    0x4e243067, 0xeda737fe, 0x25f54d5d, 0x2e6892ca, 0xd2f454ac, 0x846d88d1, 0x716efa58, 0x60518bc5,
+    0x7b204892, 0x0538a5c6, 0xed233a67, 0xadd7041e, 0x39b4b6f0, 0x6bfcb8cc, 0x0b314483, 0x7f538ffb,
+    0x4d5ba6ad, 0x45d2e3b0, 0xc90c8a86, 0xa0341876, 0x0f853d2b, 0xf4e79c80, 0x8f192a67, 0x1bb7b025,
+    0x0ac0ea7b, 0x6b2df3b1, 0xaddc0c34, 0x7360a687, 0xf4e28dd1, 0xc0343755, 0x3359cfe2, 0xa5600471,
+    0x691e89ed, 0x23a191ed, 0x46f5d4e5, 0x2fcb6b7e, 0xdca48edb, 0xdb52be68, 0x5415b881, 0xb14969c6,
+    0xf93280c9, 0x15fcdeab, 0xcb596627, 0xf46f9b2c, 0x5eb358fa, 0x4ea38b2b, 0xcbdb3cc9, 0x73351a48,
+    0xfaa7e4e5, 0xcaaabc5b, 0x1abb723b, 0xd1dbcaa2, 0x0d4b846f, 0xa3b2aeda, 0x690e6852, 0xfc2d1991,
+    0xc4892920, 0x5b307196, 0xed538945, 0x6c7bd4b3, 0x67cf0a83, 0xf6171171, 0xa647f28b, 0xa501f22d,
+    0x72e8663e, 0xe332be7a, 0x3ac6e63e, 0x338f3cdb, 0x91729474, 0x57b11ec0, 0xa4d6ed86, 0x3aa17bb7,
+    0x0e3f0240, 0x8fc85d3f, 0x7c73d278, 0xdeead70c, 0x23d6bff9, 0xb554c36e, 0x1527f40f, 0x61be9013,
+    0xf1c4a0ca, 0xda181918, 0x703bf4df, 0x464cbc63, 0x3f6d2db8, 0xdc067a61, 0xf590d33a, 0x3a856182,
+    0x9998439c, 0x3ec6955d, 0x3ed51250, 0xe5d8b3c0, 0xb4e436b7, 0xf8e57b1b, 0x0d405636, 0xcf4dd613,
+    0x959e2fff, 0x1a5fcc6c, 0xa97d44c0, 0x3fd7990a, 0x202a5672, 0xa7e98d76, 0xf6daab7a, 0x7849c5b4,
+    0x92a60d82, 0x89bdf668, 0xdca3f017, 0x810aba18, 0x03f26907, 0xc763ce8b, 0xe2f0dca5, 0x14afe260,
+    0xf213f4d3, 0xc7e21c31, 0x536eb5ad, 0x5311c888, 0x7eba0f46, 0x5e81e909, 0x07b61c43, 0x85060066,
+    0x8f11a21b, 0xabbc079f, 0xf772c1e5, 0x6b7ef79e, 0x39047834, 0x52ebc487, 0xfa9c8318, 0xa505cc87,
+    0xb92a3ada, 0xa3dab855, 0xa23726b1, 0x5f2e4867, 0xbae86b3d, 0x4de6589b, 0xa347949f, 0x99c74f93,
+    0x5a15729c, 0x59100c05, 0xc6d1122e, 0x38d9db2e, 0x29cd15f1, 0x290867f2, 0xe5160b8e, 0xc984b167,
+    0xc54e4850, 0x3f63d6ed, 0x483440e3, 0xeb7a89f6, 0x756a60cf, 0xe73a5ad3, 0x0c18a1c8, 0x6385888a,
+    0xe04808e5, 0xb91a0fe8, 0xb1aa2c5e, 0x758ae29c, 0xdbb1067e, 0x9a80b4cc, 0x45f0c43e, 0x36478a39,
+    0xb5c15e55, 0xdcf9bf4a, 0xd0c75a9a, 0x7006610b, 0xd9b406e5, 0x881a24d4, 0x4bb7c56c, 0xb8608c9a,
+    0x50b85cdd, 0x414ebf85, 0x792870f9, 0xf5145132, 0x5ac45971, 0xfd89eef5, 0xcfeebe5a, 0x8c13089f,
+    0xa7cfbc9e, 0xc4458411, 0x2927e8a8, 0xef7b8e8e, 0x0ed20aaf, 0xd3ed55a6, 0x620d75bd, 0xefe6e79b,
+    0x92bc354c, 0xad15b441, 0x447543fe, 0xc4df8da3, 0x6eb3e80d, 0xc11db411, 0xb29960bc, 0x05c20fe1,
+    0x6f4ee1d8, 0x44a96789, 0x5b2e79a5, 0x1e9456ca, 0x04d18c0e, 0x153f0ce4, 0xf5e390ca, 0x6fea374d,
+    0xa2b8295e, 0x31861b6a, 0xbcfe1d48, 0x67349c7b, 0x1374c12f, 0xefcea119, 0xfc789131, 0x7a85c3c6,
+    0x307a2f12, 0x94e0eb0e, 0x5406b6d4, 0xa342d5f7, 0x62178a8a, 0x04c4af82, 0x7dc5f40d, 0x5807ad6b,
+    0x94eeec70, 0xcf5e3450, 0xf8aaee52, 0xb96a705c, 0xf7f78a9d, 0xe221cf35, 0xdccf056c, 0x94ff4bec,
+    0x6d417b03, 0xf73e4143, 0x72828d3f, 0x0432524a, 0x5d43b835, 0x6974611b, 0x798e439d, 0xc94dd3fa,
+    0x5546fbe2, 0x6f2cb845, 0x796de1d8, 0x3eaa44ab, 0xff9dcb44, 0xa734e7a6, 0x3cf76329, 0x644e4639,
+    0x052f1b2f, 0xe2c303d4, 0x8655c88a, 0xe453de9d, 0xdf2e36ad, 0xb6b3eaf3, 0xd5b9f985, 0x5f91e47b,
+    0x07207e50, 0x09c70274, 0xb6c03ceb, 0x81952741, 0x85376a2e, 0x5570a305, 0xea87f5be, 0xc2bfe6de,
+    0xc9347b61, 0x601bab92, 0x89ca4ff3, 0x6ee78d57, 0xfe675e52, 0x42b2e24e, 0xcc9dfa62, 0xf0d713f6,
+    0xad0884c2, 0x5c0b3e0f, 0x974738c7, 0xca41c0dc, 0x7f59aa45, 0xa8dc0da4, 0x24ffbc0a, 0xc4c4f1b8,
+    0xc7442015, 0x3220e8d6, 0x749be18b, 0x0a50113d, 0xf19de844, 0x1a0f3c77, 0x0e203bc9, 0x19bab76e,
+    0xf5abcaa2, 0x4d5efde2, 0x87b8cca7, 0xba6b0b6f, 0x30c97a91, 0x405036fe, 0xef7b6f15, 0x757aeb21,
+    0x503cb35a, 0x4a225708, 0xb3c50cc0, 0x3cae18e7, 0xa1238f79, 0xf0f22f59, 0x80c6b3bd, 0x761be055,
+    0x21994ddb, 0x9e8e3b16, 0xa7099a45, 0x6afa2839, 0x8dba9231, 0x1a7a1008, 0xdc586f43, 0xa16d58cc,
+    0x4103c8f7, 0x9b499430, 0x403221e9, 0xe55edde9, 0x06a8b65c, 0xa59a5c4d, 0x15362b1a, 0x1df389f1,
+    0x5a7f47b3, 0xc5bff056, 0x3c38f9c3, 0x4ed499e4, 0xc987d289, 0x9be4a4ce, 0x44be7d4e, 0x796ce07d,
+    0xff456efa, 0xc7fd4e2d, 0x65951c29, 0xff2b43db, 0x603f532f, 0xdd6ffe11, 0x5ee6e280, 0xa1aabf5e,
+    0x779c4062, 0xe1c42d44, 0xb04b6f81, 0xd6c58bfe, 0xb45427f3, 0xe3e1b2f0, 0x532b0d98, 0x927f9017,
+    0x2aee2dab, 0x19a724df, 0x105ea5ae, 0x788fc1e3, 0xc942af7a, 0xee308c78, 0x4a3efecc, 0xff35a3c2,
+    0x9604801e, 0x257c574c, 0x3be250d4, 0x737af702, 0xdcb6b9c6, 0x7ca0bf3d, 0xf62d8dd3, 0x3f568a91,
+    0xa76e2775, 0x7c11e9b0, 0x36bef12a, 0x219c5c96, 0xb805e566, 0x38ed27cb, 0xd3801335, 0xf59172e4,
+    0xefc048ba, 0xc0b16005, 0x7a403ca3, 0x7a1a8700, 0xd89bc759, 0x9c9ef584, 0x28075f6f, 0x50537918,
+    0x7d5d0b22, 0x90e572b0, 0xfef5c4cc, 0xb9f3bddd, 0x28f53b0d, 0xa5a8e5c8, 0x765409fe, 0xb54298e7,
+    0x57713726, 0x4c178bd7, 0x39e274a8, 0x2656d316, 0x29cc6843, 0x82bbb429, 0xc9e68ac2, 0xa0dd4f3b,
+    0x95226239, 0xa246e97d, 0xd4ab256a, 0x7283a6b0, 0x190375ea, 0xb39c6e1d, 0xd848fa4c, 0x86945060,
+    0x871956fd, 0x70e3457e, 0xe8ed796c, 0x1f764618, 0xb03aff8e, 0x28596764, 0x840b9a07, 0x9a36d87e,
+    0x0c8d573d, 0xecb75346, 0x36756f15, 0x62ed9973, 0x48b12420, 0xc129ac4a, 0x78d31f2f, 0xa89c69a4,
+    0x5b6c2fcf, 0xf80d4e6b, 0xa4fd2461, 0x3938c526, 0xd9790bc9, 0x5349baf1, 0x831d499b, 0x21cae72e,
+    0x167c9817, 0xa79b98f4, 0x30ac877b, 0x803ead3b, 0xe55678b7, 0x3f21048c, 0x5bd5f4d1, 0x6f6f9fd5,
+    0xe9b82e6d, 0xb265de80, 0x74fd87ee, 0xfd123b27, 0xba6044a3, 0x05dcf634, 0x55d3e9a6, 0xf163e3c0,
+    0xa1730471, 0xd085c695, 0xf7eb57a0, 0xfa8156a8, 0xaa261802, 0xe2310d1e, 0x9236c268, 0x0c4f0a7d,
+    0x50c9e9cf, 0x1a5834cc, 0x26530c1b, 0xeccb63f8, 0x8a497465, 0xb1d34ce1, 0x172d415d, 0x65c5d3ac,
+    0x6bbbb96b, 0x758d05f7, 0xba03395c, 0x0e88676c, 0xcef26d55, 0x47acd9ed, 0x3bf21e06, 0x9df5e8c3,
+    0x4b456829, 0xc5412f70, 0x86d3cf9f, 0xb616cb9e, 0x97391cb9, 0xbdb6e597, 0xf8623ec5, 0x9d7fd58f,
+    0x8bc0089f, 0x9ff877f1, 0xc4d647c6, 0xec21e575, 0x0fb8fd0e, 0xc30aec6a, 0xa16d0a58, 0x1ae7cfe8,
+    0xf482af1b, 0x34c11716, 0x0985b467, 0x76ab548b, 0x9572b0d6, 0x047e35b8, 0x8608cd24, 0x924dd050,
+    0x409ac867, 0x1a7a4362, 0xa3d42b94, 0xee9bfe0e, 0x622d6f44, 0x0488c0f0, 0x101e977a, 0xbd4ae59c,
+    0xd2241223, 0x76f8c3ea, 0x370fcf86, 0xb40ba122, 0x51a15d5e, 0xc9f1111d, 0x366928e2, 0xe3cf21c3,
+    0x0011de42, 0x5f146e3a, 0x8bca18a0, 0x98ac969d, 0xf58fd900, 0x7599d8b6, 0xbc056e50, 0x408321a8,
+    0xdf6809e5, 0x3d068504, 0x87004561, 0x17e6f305, 0xf4fec987, 0x333584d7, 0x666586f4, 0xd3e87e38,
+    0xb233e8d2, 0x5ab553c4, 0xfaa69974, 0x5591ab0e, 0x534d4578, 0x31bc1f35, 0xa56c3cac, 0x50b504ba,
+    0xe108a942, 0x95fb1fc0, 0xfb7ecce1, 0x68e66423, 0xb2a4a9ec, 0xeb1c5fb8, 0x50aec428, 0x7f8f53cd,
+    0x90ed5090, 0x023c02f9, 0xce25db38, 0x6e974b8e, 0xc0df5abb, 0xe866eb87, 0xe6254dc2, 0x7231c30f,
+    0xf392d248, 0xc3b18e78, 0xe7edfb1b, 0x07d7ce72, 0xa0abc34c, 0x9d289955, 0x086ec38d, 0x318af447,
+    0xa86dcb34, 0x3cd7edbc, 0x92c609f2, 0x1948006d, 0x0f00b969, 0xad01eda8, 0x962e1a88, 0xe7fab51b,
+    0x337921f8, 0x7f3f8f9d, 0xd15018b4, 0xcd1748f4, 0xeb29256c, 0x0489b31f, 0x24cff022, 0xe471990e,
+    0x55f7c1e4, 0x9ccd4312, 0xd9869f43, 0x2b623e1d, 0x45d6d8a7, 0xae2bc488, 0xa80cd4df, 0xa30ab9b2,
+    0x57cf9b69, 0x08a65dbe, 0x8f9c0176, 0x91b1d3aa, 0x1e32bdc1, 0xf8955964, 0xfa2041bb, 0x635c01df,
+    0x53cbaf7b, 0x94ba53eb, 0xcac215d3, 0xca16e6af, 0x508db226, 0xf8afeff8, 0xd3ae783c, 0xf83d42bf,
+    0x3d39ec30, 0x2f980a13, 0x562f8c43, 0xd6751e59, 0x4447aa16, 0x33b10739, 0xf81e5464, 0x937a10ed,
+    0x6d96851d, 0x19c9f1a1, 0xd4ab3f64, 0x5e1fd7e6, 0x49c36154, 0x2e99ccef, 0x69d25d21, 0xf766ecbf,
+    0x1a12e8f8, 0xff4f117a, 0xde99fca9, 0x209676c6, 0xd8adc74b, 0xaf4b5bb1, 0x3f071699, 0x650fb842,
+    0xc3095b0b, 0x16101f0c, 0xde23f91e, 0x07e8bbc3, 0x80af2eb1, 0x3f6dd921, 0x53b6cdb9, 0x6a62021a,
+    0x3ef051d5, 0x662dfcce, 0xdb16dc06, 0xc9ee6786, 0x9d61ecb4, 0xc151a7c0, 0x56eeb013, 0x2203378a,
+    0x2f214d89, 0xd105522a, 0x1cc1e57f, 0x368f2816, 0x14f839eb, 0xaa73d522, 0xb5609789, 0x2d47abd9,
+    0x1dd6e592, 0x4eff06fe, 0x6c604e2c, 0x574833c6, 0xc02ec452, 0xb1ba6779, 0x19890b00, 0xaf7ac8a6,
+    0xd58c35e6, 0x4733d4ae, 0x541bf0c3, 0x9302897e, 0x6b30b329, 0xd49b69d1, 0x49dc1cdc, 0x41a27a61,
+    0x85d4e421, 0x445f16fb, 0x9ee5d2a9, 0x1ae90cd2, 0x1f86f40a, 0xa0409d74, 0xb47eaca1, 0xf21b26fd,
+    0xc4434412, 0x65b92a79, 0xa05937c7, 0x7539c0b2, 0x52a08e72, 0x04a41eee, 0x12d93bd7, 0x395c21c1,
+    0x2841ccfb, 0xdedbca6b, 0x6e1b1a8e, 0x7aec3fb2, 0x28956025, 0xff95868d, 0x3f79e642, 0xafbb7d9c,
+    0x9ce439a1, 0xb2f34ae1, 0xdacf9bd3, 0x97341737, 0x5a4675c6, 0xceb602df, 0x7f3864ca, 0x04238e69,
+    0xed16411b, 0xd46c4cc6, 0x1765d47d, 0x62bf3f77, 0x4097a73a, 0xbe4505d5, 0xadee35c8, 0xa54fd562,
+    0xd24c6afd, 0x0413faa0, 0x4190c0a0, 0xcaf52f21, 0x275bf4ae, 0x49ba91f6, 0x4fd0fcf3, 0x13c1713c,
+    0x80bef394, 0x9944a075, 0xe255ae48, 0x69a3d92d, 0x791a684d, 0xa7914102, 0xbc8423d6, 0x24eb3b60,
+    0x1f3262c9, 0x005bfe6d, 0x16cc4baf, 0xf569feb0, 0x7f2c1890, 0x901577e0, 0x5a7e7876, 0xb67f3654,
+    0xfc2a382f, 0xbf3d6676, 0x80e81298, 0x87ff8af1, 0x655df8a5, 0xb8757361, 0xec193ac3, 0xaf84e875,
+    0x4a4b8b18, 0xc030befc, 0x3d85c0c7, 0x178adbd5, 0xaa1721d2, 0x19acbc5b, 0x16702470, 0x4e26a96d,
+    0x7ed7e2f1, 0xb5edf206, 0x19a994c4, 0x4d47007d, 0xf65f3141, 0xa65a8222, 0xb048fbad, 0x9114d011,
+    0x0859237e, 0x88ff9f59, 0xb0462f43, 0x45a5ea32, 0xaa4f1c1d, 0xafe1a73a, 0x06c96b3d, 0xe658ac0e,
+    0x333b1974, 0x7819647a, 0xaa789248, 0x98839567, 0xcad3981e, 0x8f4cb3df, 0x9b84ec4d, 0x71397069,
+    0x8ad7cc8f, 0x91573f05, 0xa2c2ba5c, 0xc07ee465, 0x5ef1be2e, 0xfb623d77, 0x8c1f643c, 0xae4000c1,
+    0xc3f5c157, 0x1b377484, 0x86577256, 0xf40a82d0, 0xecefdf98, 0xe43b5fc3, 0x2f300b90, 0xf73d694a,
+    0x86da815c, 0x3f1b1bf4, 0xaf50256a, 0x04180e03, 0x1e3b46b3, 0x7ee3d5e4, 0x0297c6f7, 0xc5bdf8e6,
+    0x8ddb8b7c, 0xb4aff1c9, 0x45d02027, 0x0c7d6589, 0x408f6587, 0x5421c1fb, 0x44a512d9, 0x3dedafde,
+    0x98af18e0, 0x920787d5, 0xe8e5c174, 0xea803fe0, 0x0c488953, 0xb34640a1, 0x410de639, 0xa0971cb6,
+    0x17a4f37d, 0x0c41af47, 0xad78f738, 0x847e4896, 0x7813f2f5, 0xb6ffa3f5, 0x302b071f, 0xf8b816a7,
+    0x99106943, 0x41344149, 0x4ccf5f89, 0x7dc2cb6b, 0x3fac4ac7, 0xb3d6a456, 0xe52e5aba, 0x04744e7d,
+    0x2b545f74, 0x2fd3fc24, 0x0dfc83cd, 0x9d346312, 0x671eb1d3, 0x520f048b, 0x210cbbc9, 0x926603a9,
+    0x9581ced0, 0xaaa69e52, 0x31463a04, 0x10eef15d, 0x19070950, 0xec885fcd, 0x750f8eee, 0x930093b3,
+    0x73da6fa0, 0x789b3766, 0xc065c8d2, 0x97a2c611, 0x6011b3b0, 0xcf5b7a48, 0x8e78d3b0, 0x72261864,
+    0xdb935755, 0xa36c2513, 0x64a3293b, 0x0df4191e, 0xc2805931, 0xcd81582b, 0xa013974b, 0x15489ab4,
+    0xd266d316, 0x2055ae03, 0x1f42db76, 0xddc46710, 0x75befd33, 0xde56b047, 0x3c5bf7f6, 0xb0db5db6,
+    0xc51ad6a8, 0xfbf46a12, 0x022da29d, 0x45c7e798, 0x2bcea04b, 0x361ff494, 0xc1bd92d1, 0x91b7b205,
+    0xda27c036, 0xcbeb6f45, 0xab03924e, 0xc71eb87c, 0x3fbfe8a5, 0x97618234, 0xbe883766, 0xb4bb3c9a,
+    0x4f4a951d, 0x031c423e, 0xca4004df, 0x3032237e, 0x0c5093bf, 0x823e77d0, 0xf7f3f286, 0x9d5c1d31,
+    0x1bd7fa9f, 0xb2cd20f5, 0x99e0ac59, 0x03dc374f, 0x75350a6d, 0x25005600, 0x0a472040, 0xc7155bf5,
+    0x832f53df, 0x2dffd9b7, 0xe1f8e262, 0x23350457, 0x61b63ff2, 0xacd1dfe9, 0x821e06e3, 0x82c1519e,
+    0xb5455d8d, 0x650a7f5d, 0xc0c8e41f, 0x5689c103, 0x2120b72f, 0x7a4b9c4b, 0x8de230c8, 0x1028091f,
+    0x22deea25, 0xa82b28d6, 0xd489808a, 0x9ab0f4d0, 0x194b3406, 0xb639a277, 0x3ebbb159, 0xa511957b,
+    0x5ba0829a, 0xa5274241, 0x6ff5336e, 0x64081241, 0xec59eed2, 0xd0b66481, 0x3eefb414, 0x5c8162ba,
+    0x26b241cb, 0x75ae7933, 0x6cc703fc, 0xd6fa5e9f, 0xe1133ff9, 0xb2c25916, 0x9c326167, 0x3e622f89,
+    0xdc53d84e, 0xd42947b2, 0x31a4564c, 0x574fb21c, 0x9e6a0d72, 0xcc78820f, 0xd3eeda47, 0xe3275488,
+    0x4bfee05f, 0x797e0c3d, 0x6c352ac3, 0x242b4172, 0xe311b280, 0x3963a4e0, 0xc99d1782, 0x94d8d6f9,
+    0xe8449bbc, 0x2240ba3d, 0xa738274c, 0xed46f51c, 0x91e20024, 0xadfad9c4, 0x1ec67993, 0x9abcca40,
+    0xa570cabd, 0x89166c8e, 0xb1c1128a, 0x210e0497, 0x31ebe8e6, 0x921e46fc, 0xbd402d37, 0x0485658c,
+    0x16e4f72e, 0x68095f5b, 0x73cc5315, 0x8eee77ed, 0x4b9fc930, 0x4786569a, 0x85eff154, 0x619fa1b4,
+    0x9c26dfce, 0xd351034c, 0x7ae788d2, 0x51200c30, 0xe3e3f336, 0x12e4a878, 0x81afd859, 0xd13d7424,
+    0x9dad36f7, 0xa085740f, 0x8868ed07, 0x22d8c5cc, 0x96e2db6a, 0xdf2d4115, 0x17138806, 0xb56bb36e,
+    0x15641057, 0xbbb0dfab, 0x1614bf0c, 0x2ec96d0b, 0xbb322e50, 0x96f75f84, 0xe193daff, 0xd04a087b,
+    0xf0a7c829, 0xae951bf5, 0x4b866f88, 0x653fb2e6, 0x5e43ff9e, 0x0ed50d1c, 0xf6e8f6b2, 0x00b999ff,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000004\
+                         63168356949264781694283940034751631413079938662562256157830336031652518559744 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006,
+    0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56404, 0x173c2ce7,
+    0x00000000,
+    0x9304495b, 0x9fbe6e25, 0x261a7a2c, 0xf6419206, 0x824ef15f, 0x164bad67, 0xf268fcc8, 0x224ecb36,
+    0x63bb981a, 0x6bc7224c, 0xab698808, 0x272dda72, 0xb5d9b7f4, 0x1922520e, 0x9c9d0e74, 0x77feccee,
+    0xa6326a4e, 0x77c89b19, 0x1086ad59, 0x7afffac3, 0x0c7c75e7, 0xca20fa09, 0x8177deef, 0xaab8b8f5,
+    0xf6defd6a, 0x5c4faa1c, 0xbbccad98, 0x2628bb1b, 0xf6975de7, 0x5ff68cb0, 0x0b89152f, 0x37bc0e97,
+    0x570bc8d5, 0xb0f3600a, 0xfbe61c64, 0x9742d7ae, 0x3d035ec9, 0x0170d033, 0xd1270041, 0xf7aa9485,
+    0xf68b3ace, 0xfe92094b, 0x9cf633b0, 0xafb364cb, 0x81563632, 0x38df35c2, 0xc8a861a5, 0x5332ae5b,
+    0xb55be900, 0x08909784, 0x3fd3397c, 0xd4e9911a, 0xff1b1734, 0x31c31f43, 0x46e1f458, 0x2a999a98,
+    0xb111f600, 0xd2f0cd49, 0xaccd2af2, 0xf40cf75d, 0x9ba5fd5c, 0x3142b9d9, 0x278d95c0, 0x55d6112d,
+    0xb70ce995, 0xa96e9f80, 0x7bb7e43b, 0xc92e406a, 0xda6b302c, 0x4c82310e, 0x1d448f3f, 0x1851a6fe,
+    0xb0163389, 0xca25fcae, 0x986dc9b1, 0xcad816f8, 0x863b8a35, 0x00e6d3de, 0x7177cd09, 0x627c1acf,
+    0x31bc2019, 0xeab7f6f1, 0xa3426e5c, 0x5942cea9, 0xf0117d02, 0x7e1bc450, 0x317e4eef, 0xd39caf42,
+    0xc067e214, 0xb5e2df68, 0x66af2654, 0x80e27ae4, 0x91a86709, 0x5f66ed1c, 0x2a9fe485, 0x88ef25a4,
+    0xaf9a8826, 0xa2ad22cc, 0xe5dc1cbd, 0x6671cc90, 0xdd78724a, 0xc011b323, 0x9c468c00, 0x81af4339,
+    0xa505b9d7, 0xac0e9601, 0x85f08c9b, 0xe3453a2a, 0x9ee6786b, 0x94d199f2, 0xa06758fa, 0x12b8a91a,
+    0x60a47e71, 0x0ccd21ce, 0xad75f72c, 0xd1125989, 0x5d6c7e9d, 0xb7d54e1f, 0x22e1a343, 0xe909ac4f,
+    0xd8efe92b, 0x5dc669bf, 0x86ac1055, 0xaf458b0c, 0x7ba81a05, 0x29904f39, 0x2b69357c, 0xade51097,
+    0xb8cc89bc, 0x310bd808, 0xa0883eb5, 0x3ed209c5, 0x4a774c6e, 0xc397d7a4, 0x72486d1c, 0x83589787,
+    0x53d5fbab, 0x695f59ca, 0xaeab8478, 0xeed85d06, 0x77903faf, 0x55608b76, 0x9c1a72d2, 0x3d2aeca8,
+    0xa65a06c4, 0x30530bca, 0xbc36c07a, 0xe872f4f5, 0xf397702a, 0xfdee83cc, 0xf6f14925, 0x52691eae,
+    0xf0255cc6, 0x22af39e4, 0x8751f787, 0x32ce9830, 0x4da16644, 0x4387ea06, 0x75b72def, 0xc98006f6,
+    0xa152974f, 0x32d0015e, 0x08535b65, 0x02c37321, 0x95a48424, 0x718769a7, 0xfc79fa7b, 0x69e6f1d2,
+    0x14df5e79, 0x570b6460, 0x2824301d, 0x3d50f447, 0xadcdfc97, 0xb80c6c58, 0x1eaf329a, 0x71280312,
+    0x9b6e6f75, 0xf949e895, 0x97032648, 0xf07fc925, 0x2045ba76, 0x0a471236, 0x1e32a2c0, 0x1abb0ea7,
+    0x12f3770e, 0xf5a98b8c, 0xd2fcc0b2, 0x00285abb, 0x7ab185ee, 0x6271bbb0, 0xb1b49d87, 0x58c913e4,
+    0x0f41102d, 0x44e3933b, 0x9ebf5b36, 0x2c4219c3, 0xc75cb484, 0xf739c72b, 0xac83e5d8, 0x9b73da2f,
+    0x63b55686, 0x11c07c96, 0xb32c3b82, 0x2db8de97, 0x72cbc6ba, 0x9d3aa6fb, 0xca176fc5, 0x36191bc7,
+    0xb65cf8ab, 0x5ec2133e, 0x24f10379, 0x72dae162, 0xc9a004bd, 0xd35c20e3, 0xb199f4a3, 0xe245a7b9,
+    0x78522200, 0x21fee011, 0x7a2aa9e1, 0x7b15a844, 0xeba50a79, 0x7d82b423, 0x98514945, 0x3fcff81d,
+    0xb0e352ce, 0x9259d9c2, 0x8d2085fb, 0x3cad4353, 0x767fb98a, 0xff5e164d, 0x5beb76d5, 0x6d2ded83,
+    0x161fcd59, 0x664e1637, 0x334244d5, 0x104ea0b0, 0xf71bc3b7, 0xb0b71675, 0xed6d2570, 0x32d187cf,
+    0x649ea10b, 0x6419fb52, 0x81e02506, 0x3ac10919, 0x488261e2, 0x79ba7a44, 0x3f0faee3, 0xd0c0b12b,
+    0xba505da4, 0xd2d4cb60, 0x88334f4a, 0x02ee5b71, 0xd252fd60, 0x68231bdb, 0xb9092085, 0xa87831b8,
+    0x62db5ef5, 0x9aec6308, 0x1f0b33e0, 0xd8951d82, 0xbf2d6619, 0xe79eb623, 0x165abca3, 0x92ae8b1e,
+    0xd5f9f583, 0xa2af7310, 0x1d8adea5, 0x448ea5ff, 0xee7386b2, 0x18fc114a, 0x0997cef0, 0x15cff61f,
+    0x41b00b3c, 0x04a23ffc, 0x26882461, 0x5bad2c5c, 0x462e5b85, 0x94a0f761, 0xf185b4b5, 0x48376419,
+    0x3ed222e5, 0x3550dded, 0x9ffe6d77, 0xbb0c516b, 0x47f98bfa, 0x73f45098, 0xb7159109, 0x0b568f72,
+    0x8e20ef8c, 0x8eadaafe, 0xbd1da388, 0xec3641c1, 0x743644a0, 0x6ee9e9af, 0x3441aabe, 0x43ae5877,
+    0xe8b77a80, 0x5ec3de45, 0xd63dbfa2, 0x1192c4b6, 0x5498d9fe, 0x40585d26, 0xfccbf2ff, 0xd44797dd,
+    0x3b1086ea, 0xed1c007a, 0xa254d97c, 0x1f8cd946, 0xe673ced7, 0x4b609a5a, 0x21040412, 0x5f775783,
+    0x451daa3c, 0x256d0489, 0x2245d8c1, 0x102a649c, 0x8d28fe2e, 0x7d096412, 0x6bd1702d, 0xa34fe937,
+    0xad23263a, 0x92ac587f, 0x8a09421e, 0xa8e68294, 0x85a8502d, 0x408a61b4, 0x3306e000, 0xbd53c951,
+    0xaf22fe48, 0xe0f0cbb6, 0xb3f29514, 0x8631fc75, 0xe4a8cc94, 0xe7a3e1a2, 0x9dca13dc, 0x5179ff6c,
+    0x2013edc5, 0xe426b71d, 0xffa212a9, 0xffc64ac9, 0x36d5f7c8, 0x6ffb0d71, 0x01ee2882, 0xb60ed994,
+    0xbb65ba35, 0x54357338, 0x6b811ec8, 0xef14d487, 0x37a28c55, 0x18474002, 0xcb4234f3, 0x9aea1417,
+    0x582e300e, 0x03c46977, 0xcccbbda9, 0x4d61b5bb, 0x252752cf, 0x17063374, 0x4450089e, 0x147f9535,
+    0xa85444d6, 0xadeb21d3, 0x7072edac, 0xae716143, 0xf276e1c7, 0xbb5ba076, 0x1249d9cb, 0x72bc84ad,
+    0xe886a3b3, 0x57602090, 0x1f68556c, 0xb6bfa823, 0xc2ef4a71, 0x50caa56f, 0x9a35652b, 0x89bb65e4,
+    0x77c56d56, 0x72819327, 0x704cecb1, 0x32571931, 0x816788a5, 0x5368a907, 0x9cdbf0ac, 0x85f565d1,
+    0x12b7245f, 0x9a5c9be3, 0x6a99bf2b, 0xcb36d841, 0x81d436b1, 0x14265665, 0x221cc31a, 0x345fe809,
+    0xf4809544, 0x8d148052, 0x2c598fd9, 0x2f9c49e2, 0x945888bc, 0x47e6e15f, 0xae0343a5, 0x32867cf8,
+    0xa5f6f720, 0xee34408f, 0xd3d07ceb, 0x80da46f4, 0xdca42f14, 0xc73c1b8f, 0xdbf6798f, 0xe936eaff,
+    0x9fd26866, 0xac3416d4, 0x997d7bdc, 0xe6107dce, 0x5f2a8188, 0x2c0f8d3a, 0x16071031, 0x6da9dc78,
+    0x5e8438c6, 0xb2e08257, 0x1acd32c7, 0x307da300, 0xd3ab726a, 0x4b09b965, 0x40732ed9, 0x3ee93233,
+    0xe6bf6e1f, 0x71f1b7b9, 0x7ca569b1, 0xf0daf8db, 0xbcac73c7, 0xac5163c7, 0x33807383, 0x68471ad6,
+    0x2f306bc9, 0xd0e7e3f9, 0x3617479b, 0x2aa820c9, 0x0ba0b684, 0x01034440, 0x130a0de5, 0xbdfd3f84,
+    0x5fc90def, 0x3f3ebc45, 0xc73957b5, 0xbbe842f8, 0xd2c96798, 0x493ef8e4, 0x93eb3c89, 0xa9944d56,
+    0x9d7bfa00, 0xe41b69ac, 0xab5dc01d, 0xf635101a, 0x03286292, 0x3aadd225, 0x3611e009, 0xb6d089fa,
+    0x67416639, 0x3c86fe51, 0x397b90ae, 0x3bdab37a, 0xe95de901, 0x0f7db876, 0x64789726, 0x4203c063,
+    0x359bec9a, 0xab1b98ca, 0x78ee5bbf, 0xb7fd56ea, 0x2e747489, 0x2accca84, 0x77d5a24a, 0x235238aa,
+    0x02c92535, 0x83d7d5b7, 0xe41ea8c3, 0x954ebb48, 0xffbcbf04, 0xaf80050d, 0xf85f35f0, 0x6c245095,
+    0x3b8c943e, 0xc7c8fdb2, 0x2ed5ecf8, 0x814c7075, 0x74b58bc5, 0x3079653d, 0xd4ed0eec, 0x55ebcb98,
+    0x07db6f73, 0xc01ccc29, 0x64199942, 0x5e94cbdc, 0xe80ac2f7, 0xb3b9dbb7, 0x1f25750f, 0xecbff1e4,
+    0x6c293a0b, 0x2171f562, 0x58735f4c, 0x1fd06461, 0x8029ed92, 0x58466c1a, 0x9333219c, 0x06893273,
+    0x1a0deb25, 0x3157da56, 0x2ebb0e4f, 0x06f2dead, 0x1f9aa691, 0x24a1f209, 0x21624481, 0xe77db6ca,
+    0xf0313e64, 0x7e852395, 0x30bc9ab1, 0xb43aa442, 0xc10ad7a4, 0x9034eb2a, 0xcfa0bc93, 0x19d15d31,
+    0x8a3ba066, 0x3d07efb6, 0x2cefac4a, 0x932500a4, 0x07091a3b, 0x0b64a304, 0x86cf77c9, 0x7f1f9103,
+    0x8cfe171a, 0x8e25743a, 0xf5c1a95c, 0xc022a2b7, 0xd42da3dd, 0x353e4411, 0x4a7a898a, 0xa54e6d79,
+    0x0af2b503, 0x82c29549, 0x61ea5dac, 0xac158e83, 0xf57935b3, 0x15a257d0, 0x617273f4, 0xfc054499,
+    0xe690ca48, 0xdd5c12c7, 0x8691c1ca, 0xa6925f62, 0x905c4b75, 0x2db3e95f, 0xd64f34df, 0xc5fd07e1,
+    0x4b1a01cf, 0x83f0cbcc, 0xe49ae418, 0xce4de85e, 0x611331a1, 0x5bc8b0de, 0xc16be149, 0xdae51fd1,
+    0x93066cfb, 0xaa78b1e8, 0x747f2a53, 0xcd9acc7e, 0xc2bfcf98, 0x86cdf9f2, 0x44825293, 0x57c9bc1a,
+    0x64242c7c, 0x9bdea4fe, 0x89f3cce4, 0x46365115, 0xb305fe08, 0xe40017b4, 0xe6fd02aa, 0x88a750e0,
+    0xbfa64b83, 0x04990edd, 0xb5dc6991, 0x564ba057, 0x03de2d44, 0x3fcde97b, 0x6a29af09, 0x3aaf84cc,
+    0xe9d9ada3, 0xccf0189e, 0x422bdcf0, 0xb5193640, 0x945ae3b4, 0xe544cd6d, 0x61d3809c, 0x00403854,
+    0x9e2d6e89, 0xad5dfc9b, 0x3a74ab33, 0xea200c67, 0x09bf6a88, 0x73a9fb49, 0x10cb0a00, 0xb6c06b52,
+    0x1f2170ae, 0x5ecf5f6c, 0x9d000bec, 0xfa2fa761, 0x0de4b8c6, 0xb13bbc23, 0x11011de4, 0x1ee98c15,
+    0x7adcafaa, 0xaf0c6220, 0x5e12334d, 0x3e8e29a1, 0x039f2e33, 0xf6be9538, 0x0bb4dc89, 0xdbe6fbd3,
+    0xfd0cbab4, 0x888067cb, 0x6bf3173c, 0x646c6d3d, 0xba9191aa, 0x4a715377, 0xa9f8ac64, 0xa3914fd8,
+    0x74e869b8, 0xf1581b73, 0xa98eafd1, 0xe60b39ef, 0xcdba90c6, 0xd82f34cd, 0x0ef637fd, 0x2d854b9d,
+    0xc6422ddb, 0xeb21d1c2, 0x2b5fea65, 0x3c98161c, 0x5c3ba96c, 0x61f3a459, 0xfc869762, 0xe64bd7ff,
+    0xfb697d81, 0x515e57fe, 0xbb78d5c8, 0x347c90d9, 0x42f5443c, 0x39f7ea10, 0x9b4a53e6, 0xc5d1158b,
+    0x95ca12fd, 0x5576aad8, 0xa2f1a7a3, 0xf4823a63, 0x30299fcd, 0xe0cabd1d, 0xe842783b, 0xdcb497ba,
+    0xaa91bcb6, 0x9d786fcd, 0x93e6f6ba, 0xcbce8905, 0xe2e53114, 0x61f62f45, 0xcdafae0d, 0x4b4fe9fe,
+    0x0335a418, 0x92c6e02a, 0x45167cf8, 0x33000ed4, 0x645f1bc0, 0xac4c4b0e, 0xa26efb90, 0x28a13244,
+    0x0ad9f51e, 0x440a0cd3, 0x03545eb8, 0xa77bfc31, 0xdcdc3f7b, 0x35152843, 0x5432e9f3, 0xdfcb360e,
+    0xe5ef4694, 0x361a72a3, 0xaf128c94, 0xde490462, 0x57639409, 0x30f974b1, 0xc43eec68, 0x58bab63e,
+    0x5762f850, 0x16fbd379, 0x69089895, 0x44bf16e1, 0x2370f469, 0x9cda76f9, 0x735f3242, 0xe257d713,
+    0xae55064e, 0x09e09661, 0xa3753474, 0x6c9d9672, 0xf1cc57ce, 0x5339fb54, 0x59479ca1, 0x3bad070c,
+    0xf99d6440, 0xff5b6391, 0xfa86aa85, 0x4a4f8bfc, 0x3ea7abdb, 0xec205c78, 0x9cfb581c, 0x17358a8f,
+    0x36732748, 0xb27fbf9f, 0xc08f811b, 0x13f3323f, 0x11ae6215, 0x4fe7a5ce, 0xdebf53c8, 0x31d6ffbd,
+    0x1636bfd0, 0x01dca707, 0x44b49014, 0xbf16215c, 0x8a359226, 0xd23c884c, 0xe8c63512, 0x278bbed5,
+    0xab47ee94, 0xf90be377, 0x2cbb37d2, 0xef9d68f5, 0x096f22e6, 0xfa37bd72, 0xf07cb640, 0xf2593470,
+    0x3eadbaed, 0xf95b3d55, 0x8e112b35, 0x842052c1, 0x752de25d, 0xb87e0b9e, 0xca51afd9, 0x6bac0318,
+    0x21e8b26c, 0xb37127b6, 0xe3563fab, 0x775fb9fa, 0xb50e4588, 0xdeb5ff79, 0xbc24d2f7, 0x254af2df,
+    0xe5e22606, 0x333cc261, 0x2dcc65f8, 0x9450383e, 0xd8edbc5a, 0x705bf65f, 0xda7cfe36, 0x8fe1ab8b,
+    0x36805507, 0x0fe69b50, 0x4a790434, 0x1a7b0754, 0xba363823, 0xcf69aa50, 0xed8214fe, 0xbf747d1f,
+    0x9b1e325e, 0xe958cdbf, 0x81034076, 0x62a2da2c, 0xa669701c, 0x7922e73f, 0x08f25fac, 0x7b20b72f,
+    0x940d4a2b, 0xd89407e8, 0xcbe23086, 0x51f1cf57, 0x0cb680e7, 0x3352d3bb, 0xf7ecb862, 0xcb376e16,
+    0xe4667ba5, 0x3c3c9409, 0x18a8ebe7, 0x4648348a, 0x4c93052d, 0x9e289da0, 0x8a690f29, 0x2bafc720,
+    0xf0a59c25, 0xc77ceccf, 0x9a51838c, 0x5f3fcdd3, 0x7e6508fd, 0x555a3234, 0x52feb52f, 0x6c86991f,
+    0x0e7069b3, 0x6e8b835a, 0xdd09285c, 0xe74beab7, 0x87597ab6, 0x0ccc31d0, 0x6e3c492e, 0xc8ea89ed,
+    0x56fd81cb, 0xf2ef3c24, 0xc149dac9, 0x8bfbf378, 0x82d50e01, 0x2be02bb8, 0xbdb3c7d7, 0xcc18030c,
+    0xa3a87d37, 0x5e7b8d50, 0x5b974268, 0x12facfea, 0xfa59f8d0, 0xa5811dce, 0xcbd285b1, 0x64a3b0dc,
+    0xc5e87d2b, 0xd8817e4a, 0x72e63dc3, 0x4f827435, 0x2d523e81, 0xa4ef499c, 0x27b2e2e1, 0xe0002ecf,
+    0x6fc3f423, 0x0cc9fd9d, 0xe790f0e5, 0x502a1329, 0xe122a84e, 0xa91904ca, 0x3d240025, 0x200f2ccb,
+    0x5c6ce985, 0x6518ba79, 0xa6c53d02, 0xd0141dc4, 0xa604d4b9, 0x6d90664f, 0x32bf14e1, 0x3af2a198,
+    0xdffb401a, 0xcd9fe614, 0x56614a35, 0x4696733f, 0xe0ecd5f2, 0xf97ee179, 0xe93bd63b, 0xa493578d,
+    0xe21e4423, 0x3c632efd, 0x6e9981e6, 0x03385ef5, 0x7812e44f, 0xecab282f, 0xe835dc10, 0xf52330de,
+    0x19bd5a76, 0x16f29e12, 0xd93badc2, 0x7f2e702f, 0xba64297c, 0x48e31e86, 0x2d4c9c4a, 0x8d0261ff,
+    0x9515d02c, 0x04aaa3b5, 0x74c09dfd, 0xa6a6d8f5, 0xcddcb914, 0x8ba07490, 0xa7aabbd7, 0xa38efa57,
+    0x772a3f8b, 0x583ad361, 0xd1f38bb5, 0x777715d3, 0x15245ac5, 0x45930a27, 0x494c98dd, 0x4d243db9,
+    0xc4b9cad0, 0x63a18d36, 0xe0ad1fb1, 0x6c1f8a85, 0x88e619e0, 0x41f12ca6, 0xd67aad4b, 0xd30319ca,
+    0x7220403a, 0x9b4101c9, 0x757d1641, 0xb000d0a4, 0x9a9bfb9e, 0x14a52d25, 0x1e022433, 0x9072b017,
+    0x2750dc1a, 0xed0e5cb9, 0xcb2be385, 0xe48eece0, 0x4d988ce0, 0xb51f5557, 0x9009c1a7, 0x81c16e4d,
+    0xb6bb3665, 0x3f8b2985, 0xedcd10b2, 0xdba3ab5b, 0xdd9702ac, 0x793ef431, 0xdca4816b, 0x75353a0f,
+    0x2f9e8bca, 0xd161023d, 0x69328828, 0xa11a3ceb, 0x282f7b6e, 0xa3b9c6b5, 0xb45b5efc, 0x0494b685,
+    0x0246dc8d, 0x33ae8ec0, 0xd6e3b2f6, 0xdd119c2e, 0x7a8b97e8, 0xc43e946a, 0x2a07bef5, 0x3c7933bb,
+    0x582e2e43, 0xdf1aa575, 0xbe1b16c6, 0x1cc1cb64, 0x105c4442, 0xa2d570dc, 0xd706c4f2, 0xa21fef78,
+    0x6ab5f4a4, 0xb832fd87, 0xdc010787, 0xf84c0b71, 0x50011727, 0x928cc38f, 0x502005f4, 0x64fd6a27,
+    0x855b68f9, 0xab5e0876, 0xd16c3dbd, 0x3ee65164, 0x1bfb8c1d, 0xdba028a9, 0x120fecdc, 0x76568931,
+    0x6ef6abf4, 0x7ef3a3e4, 0x35043a02, 0xca8ce4d7, 0x50a939bd, 0x8367d0f7, 0xaf4b222d, 0x78ae97fe,
+    0xeb14c134, 0x3d325773, 0xe9bc5bde, 0x249156bc, 0xab9bf5d5, 0xb4a8c165, 0x5da5f3e8, 0x8e7da40b,
+    0x734b476c, 0xf4e798e0, 0x11e90e99, 0x9444dbb7, 0x71018116, 0x52e0abb4, 0xecfcbaf3, 0x0f009f58,
+    0xed693e1f, 0x6df6ea5d, 0x7aaf1fed, 0x77a7cb9e, 0xf18a8120, 0xa9d44535, 0x97696732, 0xa5ae44cd,
+    0x8ac2a47e, 0x9c6470d5, 0x642af212, 0x6e5d325a, 0x0d791ed7, 0x8c5c6ed4, 0xdb0f5345, 0x2a167f12,
+    0xa3b0927c, 0x2052a9d1, 0xff83c66c, 0x9215297d, 0x6874d69a, 0xc4f8e718, 0xb302b07e, 0x6181be7d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000002\
+                         31584178474632390847141970017375815706539969331281128078915168015826259279872 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003,
+    0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab202, 0x0b9e1673,
+    0x00000000,
+    0x892de286, 0xe7b496c9, 0x2e151698, 0xdb1ece3c, 0xf02a9caa, 0x04d1a6e0, 0x2755f2df, 0x0ba5b524,
+    0x4c2004f1, 0x39e475f3, 0x1b502818, 0xf64247b0, 0x13fa6aa7, 0x3ef1f6a2, 0x828e8c59, 0x6eaca369,
+    0xa377ea1c, 0x328ea29d, 0x22442c95, 0x0493f793, 0x171efa03, 0x70057476, 0xdc87f731, 0xabd1e200,
+    0x969b00d5, 0xece302dd, 0xde60ad3b, 0x86d4b2a4, 0x275de973, 0xf3aa45b2, 0xb85183d6, 0x6ac30743,
+    0xab157d10, 0xc1e875d5, 0xd2093a1d, 0x5a4303f8, 0xb8871dd6, 0x9877a6a2, 0x36b2db99, 0x2b94ed55,
+    0x638e070c, 0xbf82d23d, 0x7a54adbd, 0xcd22a028, 0xe4d13767, 0x0b243c03, 0x27a62451, 0xb3ea0ee3,
+    0x01d2f37c, 0xb380f403, 0xce35f312, 0xe727d6c0, 0xbe7dbdd9, 0xe175f8c2, 0x335639ae, 0x8ed34ee7,
+    0x5bc6b285, 0x58c616e7, 0x4691a9be, 0xc0c502ae, 0xab9c9460, 0x7a80c1c6, 0xdb02c58b, 0xece5e937,
+    0xd005749b, 0xdb8e12e9, 0x645cb6d2, 0xd619c221, 0xc06e1580, 0x02ef7f39, 0x7556298c, 0x7bf87ea5,
+    0x6821be67, 0xa32fecee, 0x7ecc4688, 0xf16688a1, 0x66bc4562, 0xe91e9abc, 0xb53db20d, 0xe190ff52,
+    0x96baf25a, 0x3cd250f6, 0xbf7e4e1d, 0xa15e82b8, 0xb35c1845, 0xf21b8a43, 0x4ecc5158, 0x91f2d0a4,
+    0xdec4d355, 0xc0d43419, 0x77263300, 0xff353742, 0xa564b5a1, 0x308d6d7d, 0x868c539a, 0xb02494fd,
+    0x7e092381, 0x9e05a14e, 0xb7b575a9, 0x628fa02e, 0x9c5ae48f, 0x16cacc7c, 0x8c12353e, 0xf7d143fb,
+    0x64650d7b, 0xb1d12a37, 0x5422a5ca, 0x13a869fe, 0x1154528c, 0xcad6f58c, 0xaf517f20, 0x7509cada,
+    0x00c735ba, 0x00061ced, 0x3c7fcbd6, 0xfd96437d, 0xe4411329, 0x4c6a57e9, 0x8f710bd7, 0x156c8243,
+    0x7420864f, 0x7368a4df, 0xbf6e7028, 0x14e3a634, 0x134e5027, 0x7b9e3bbf, 0xe1f8adb1, 0x44529e92,
+    0x86eb7ab9, 0x57244e42, 0x2402d44c, 0xac09d04e, 0x81912dac, 0x7266a271, 0x031024f4, 0x50b457f4,
+    0xb6197297, 0xcd56871a, 0x4fd8721c, 0x2203e383, 0xee7a23de, 0x4e77fc11, 0x7b12d700, 0xa2ccefef,
+    0x49657dc4, 0x9a2ce621, 0x870c0be8, 0x610f82e6, 0x30d4ae94, 0xe12377fc, 0x0cd41f7f, 0xa7aa8833,
+    0xf9fc8cf0, 0x1b72f5b4, 0x27810fbd, 0x7c35836c, 0x49be72b1, 0x5cda3319, 0x143d8e74, 0xae1aa8db,
+    0xef97c71c, 0x1f63992e, 0x2acbf8a1, 0x79a1c1dd, 0x6d6eac80, 0xf33d81f0, 0x110edf35, 0x30df7bcd,
+    0x6aeda097, 0x6fcbb449, 0x614ef624, 0x262be75e, 0x906a7e93, 0x9ab7d2f0, 0x83e9b290, 0xcc1d6720,
+    0xad65bbdd, 0xcf0eec53, 0xc3bbc710, 0xb1b05bdf, 0x7e80b053, 0xd40cb563, 0x724a3de4, 0x87ec4dcb,
+    0x389a69f9, 0xadea55a6, 0xd2d9a87b, 0x6b07c2b0, 0xa5de5afa, 0x076421e2, 0x0e4f6b43, 0x4f94bd1a,
+    0xf0793bf9, 0x87c83a66, 0x4400b27f, 0xf8f003cb, 0x9db746a6, 0x73c29b56, 0xa3489386, 0xc643ae35,
+    0x6698d8cd, 0x204a3a54, 0xf4463530, 0x0c529aa2, 0x3a95cca3, 0xf378368a, 0x4f035a1d, 0xc380c112,
+    0x85f1022c, 0xc3cb67f7, 0x1dbd6aa7, 0x14a858c9, 0x7880ba89, 0xa49a577b, 0xfa8ef5fc, 0xfc358c0f,
+    0x458e62b8, 0x92dd7285, 0x2a96ab84, 0x3a44681c, 0x0856bd41, 0x06e2740e, 0x9a1f2683, 0x14b3204e,
+    0x4d3e871c, 0x590884d9, 0x8ce7b163, 0x775fa13a, 0x45a9e4aa, 0x0594f5c3, 0x42bc81bd, 0x71d904ff,
+    0xdb00462a, 0xdb2fb5da, 0xdb17732e, 0x1c7eaa91, 0xf4d82f87, 0xe1cd8646, 0xefe57f0e, 0xbaa488fd,
+    0xe569eaf5, 0xf50a7880, 0x1ca2b9f2, 0x190c2f74, 0x8b633edb, 0x5bf4082a, 0x1db85ebe, 0x31879f34,
+    0x690be26e, 0xffb2ee1a, 0x79d2d2e6, 0xaf359fa3, 0xe2992858, 0xc3f53884, 0xaa355e5c, 0x1290d94c,
+    0xaaeb5b76, 0xbb5e5285, 0x8d060adc, 0xcb1cbed0, 0x09d78b54, 0xbc5a175d, 0xc23166ec, 0x5ffe41ea,
+    0x506706dd, 0xf3c657ee, 0x83de8a67, 0xca71ebd5, 0x6bda2814, 0x3e191485, 0xb7bc9299, 0x8f7a05ec,
+    0xc17c6857, 0x36975b88, 0x2a90650a, 0xb3e2f66f, 0x0f88c82c, 0x18260f32, 0x041a3640, 0xc45a88f6,
+    0xf977ee3e, 0x227be9c9, 0xebde9773, 0x14efc34b, 0x225a1192, 0x4567cf22, 0x6368029b, 0x422c7257,
+    0x6331fb44, 0x84ee286d, 0x9de704fd, 0xd07be121, 0xe64d8eb3, 0xc079f105, 0xa812b265, 0xd84337e4,
+    0x87dccc7b, 0xdd8512eb, 0x4aeee81e, 0xff7cc88e, 0xb83e791a, 0x5a3afd52, 0xf7d250b9, 0x8bf880f5,
+    0xe4705b01, 0xbd20a36c, 0x93328a2f, 0xd531edb5, 0x7b3e94e1, 0xb60f2c85, 0x7b45ac44, 0xafbe037c,
+    0x9e4cfd16, 0xd94557c9, 0xecfaaa81, 0x2861537c, 0x390b0a9a, 0xe3129b81, 0x8ae5ecb3, 0x193aff75,
+    0x3e70ef44, 0x775bcd14, 0xe8fa7700, 0xce9c35a2, 0xf1b31c5a, 0x8d47f4ee, 0x732ddbc4, 0x18d8b390,
+    0xf9035030, 0x50eac117, 0xd65e5444, 0x7c1a4c8c, 0x1fbd8360, 0x3992b68c, 0x0343a31c, 0xc7a34e28,
+    0x7b21df27, 0xe9d7e71b, 0x37b27843, 0xf2c766ff, 0x65cb412d, 0x47f0c9c4, 0x374dab3f, 0x2513b21f,
+    0xff72a704, 0x6641b521, 0x26b57580, 0x06f07793, 0x42da9491, 0xd216ffc8, 0x47b512df, 0xee69d8aa,
+    0x99db5194, 0xee0cf3e8, 0x126b0f71, 0x07f9e9b0, 0x7b17f788, 0x371ee4ae, 0xce976193, 0x5b4497bc,
+    0x9d70ed5d, 0xc6c29a9e, 0x7294d991, 0x86f69bdf, 0xd90aa61e, 0x90ab99ef, 0x8f5f076c, 0xf6b4d05b,
+    0xa8015eb3, 0x3f270ec6, 0x8e358eee, 0xe1e8771d, 0x812150fc, 0xd7b2d161, 0x63f632c9, 0xd1962593,
+    0x4f02dd8c, 0x34ec41d2, 0xb812fcf7, 0x51eb3bc8, 0xb7ace974, 0x9e382f5c, 0xcad808a1, 0x48c1d205,
+    0x57e5fa73, 0xbcd8c868, 0xccbcb1c3, 0x4aebc11b, 0x5d84586b, 0x44b0578c, 0x4c2edfc4, 0xd73246b6,
+    0x272139f3, 0xd8edc3f1, 0x7630ba19, 0x17daf8ba, 0x408a1bfc, 0x0384c6c3, 0x4cc2d20a, 0xc03a9775,
+    0x1e30d432, 0x49d73f08, 0x6aa219ec, 0x41410167, 0x7cbf74f9, 0x2b29167a, 0x9daba140, 0x18b1d4fd,
+    0xf26fbf3c, 0x71c576f9, 0x231e49f5, 0xe6e536dc, 0x5ed4baa5, 0xbf256f16, 0xd91d24e4, 0xee36d35d,
+    0xc4fb5f9b, 0xfc5a701b, 0xa6ddca17, 0xdf29ec24, 0x553339e3, 0x3b24db2f, 0x4d83c812, 0x031fe71f,
+    0xa7c4ac51, 0xd8475be2, 0x11480d0c, 0x53ce5a54, 0x2b13af86, 0xe868d27b, 0x8b33b757, 0x03931157,
+    0xfc7c5b65, 0xdb17858c, 0xe84d9bc4, 0xfb0c43c1, 0x125c5019, 0xc6f5cbb0, 0xb921ee88, 0x97293297,
+    0x6211e112, 0x59f09091, 0x91ca898f, 0x563cf378, 0xd8605fc3, 0xc6f2bcea, 0x2ba68ec2, 0x829a097e,
+    0xfbb1d472, 0x16520519, 0x76543ec8, 0x4c01dc2f, 0xa29e63a0, 0x6bdf4530, 0xf4794a67, 0xea369091,
+    0x800cdb6f, 0xdc0dc819, 0xa206bb47, 0x1dab4e03, 0x4e29e62c, 0x9ac56a6c, 0x7758242a, 0xf1733bf4,
+    0x61618def, 0x4206bbdc, 0xb3421fb9, 0x2f677bd7, 0xd1f03130, 0x37c3662a, 0xcc423f0e, 0xd8a48f9b,
+    0xc619f7b9, 0x05eba216, 0x8330243f, 0x9a4f6624, 0x6c8176ca, 0xe211fcd9, 0xa4801c3f, 0x362e4ad4,
+    0xecb44184, 0x78e247b0, 0x5ca99880, 0xac577889, 0x6871ea5a, 0x3d4ae309, 0x71422657, 0x6f08f953,
+    0xeb8f2d2c, 0x1234ea47, 0x6a7532d7, 0x910244ea, 0xd12124b2, 0xa9822e39, 0x0ff3d16f, 0x98d654d2,
+    0x2c042246, 0xe2a12073, 0xfc1a7a95, 0x4412426e, 0x14fdffc6, 0xd232a3fe, 0x2028c00d, 0x2e18e532,
+    0xea9ba750, 0x29824707, 0xb46f3a45, 0xf3136582, 0x8f0b266b, 0xb17d3fb3, 0x23f00df1, 0xa215004a,
+    0x75061f16, 0xa22c295a, 0xb5884b95, 0x619c796f, 0x57069da9, 0x0cc281d3, 0xcd120117, 0x8721fdec,
+    0x08be3998, 0xb9e1a06d, 0x8f6909ed, 0x13e71aa1, 0xe7b4fa1a, 0x75b02f8b, 0xf1e170e7, 0x445784be,
+    0xda88040f, 0xac3eaff9, 0xa1ec0212, 0x3aa569e9, 0x9369a5d9, 0x98db2688, 0x63f4e55d, 0xf0e00ed6,
+    0x969cceb2, 0x41098661, 0x9b1e9dd3, 0x18b3c20d, 0x418dc4c3, 0xdfd9a43b, 0xf47e026a, 0x2898ac58,
+    0xee12b595, 0xcc900d78, 0x555e4b84, 0x04d868f4, 0x860a0a8e, 0xc3b16a07, 0xa9485528, 0x03575618,
+    0x66d5a4b8, 0x2e010d57, 0xbdb0e68e, 0xa06aa463, 0x76c90c7a, 0x45f44df9, 0x4a8e3134, 0xf787ecef,
+    0x291d7035, 0xad7d40a8, 0x43320ef7, 0xa012e209, 0x7fe1a3e8, 0x3fdf3d6a, 0xeafc7c49, 0xbf1ce0c0,
+    0xeb361ff6, 0xa2af1afd, 0xa07305d4, 0xac7c28f6, 0xbf77dc66, 0xfb771018, 0x2833914b, 0xe6bbf4de,
+    0xf4c5bf1e, 0x814b681a, 0xe665285a, 0x47cfceb2, 0x18f2f35f, 0xe90bae17, 0x42636f04, 0xca239366,
+    0xebcb8f16, 0x3723e4d5, 0x37dd8225, 0x11be4467, 0x84ddab4a, 0x680654f0, 0x4a215dfa, 0x597bbd65,
+    0x26485f6a, 0x819f47df, 0xd71ed7dc, 0xce33ffdd, 0x80bcd24c, 0xbba006b7, 0xcfc5b329, 0x314a1692,
+    0x79bf1690, 0x8dd2622e, 0x81cdf083, 0x376e0153, 0x3fa57d70, 0x0cb1b116, 0x0b0178a8, 0xaec3dae2,
+    0x9639ab62, 0x438604fd, 0x3279ffca, 0x1da44e0f, 0x2520a08d, 0xda172285, 0x625cbdd6, 0xa2dc6b7e,
+    0x1c9bd7ec, 0xa692b152, 0x606f0d4f, 0x6f817b58, 0x5dbedec6, 0xde4a207e, 0x7ec4cbf5, 0xa1a2eb54,
+    0x17b16bd0, 0xd9dc3895, 0xf6535815, 0x34efe161, 0xf40865e4, 0xab2ce656, 0xbbeb1e04, 0xdc7eab44,
+    0x0f9f0580, 0x46d41b52, 0x7dc15408, 0xb8266271, 0x87bad2e8, 0x46e3511c, 0x5c1088b4, 0x38d270ff,
+    0x2c6be355, 0xba1fe904, 0xf68a993b, 0xc1457db7, 0x2a91cfe9, 0xc394ce0c, 0x51380304, 0x6c537e16,
+    0xb9193705, 0xfb3e8a46, 0x71decf87, 0x2a8244f7, 0xa1587f82, 0x3e3f1f7f, 0x6da96906, 0xc685ca3f,
+    0x9babb5cd, 0x3627f2db, 0x70f97e09, 0x9af57d1e, 0x851048e2, 0x4e1044b0, 0x11b285b3, 0xf43c2577,
+    0x22c965fb, 0x26e5b84a, 0x5014c29e, 0xf8696500, 0x26f26d85, 0x1b3a74b5, 0x678763ff, 0x7d5797a9,
+    0x6ce187f7, 0xef9371d6, 0xe6cd72b2, 0x11532e8a, 0xd0b5f13c, 0x4ea82a60, 0x38d66210, 0xeb013df7,
+    0x10694640, 0x4834042b, 0xc4417a50, 0x0df8a3d0, 0xb88ab3c1, 0xf652ce83, 0x8c21fdb0, 0x5136278f,
+    0x1b6e955b, 0xfe00abb3, 0x70b2d369, 0xa362981c, 0xcdfc2ae6, 0x7fccc829, 0xb9975866, 0x8fed95ec,
+    0x1f519c9c, 0xf646d90a, 0x1d25d056, 0x34f2f98f, 0xa79ca8dd, 0x55d4d182, 0x82ab08a5, 0x76f830e3,
+    0x436a17b0, 0x664691c8, 0xf3756c0d, 0x42e05eda, 0x6fff8ea5, 0x1d4e7ebb, 0x9d62dc2a, 0x07573477,
+    0x05be9df2, 0xc47b50b5, 0x5937bf13, 0xa7a373a0, 0x069f45fd, 0x1b5d7632, 0x773918b5, 0xbd3557d7,
+    0x6e8def5d, 0xdf55e0ed, 0xbc2e0b38, 0x8abd7722, 0x832f8d9e, 0x4f252464, 0x3041966d, 0x5bd11c1d,
+    0x8c3cd9b2, 0x1ec9f8b7, 0x1512a8c9, 0x3a35f5ec, 0x2789307b, 0xdbe1a75a, 0xe67167a8, 0x72acc832,
+    0x18d8a467, 0x28471867, 0x53c0a42f, 0xe3bd818f, 0x48e1cf0a, 0x4034a16e, 0xc4c3fc8c, 0x818c264a,
+    0x9452ce8d, 0xa21856a4, 0x30db429d, 0x17abde61, 0xb74a3b57, 0x96b48725, 0x4d6b502f, 0xf85c6344,
+    0xa362bc62, 0x1e57a63a, 0xe431c840, 0x47bbef69, 0xaec83dce, 0x43a1d329, 0x713402f8, 0xb2cf5eac,
+    0x068ef86f, 0x6e315ab2, 0x6019ab3e, 0x9a8a2b05, 0x62eb352f, 0xea83bac0, 0x51991fb7, 0xf3a30ee0,
+    0xa64e2446, 0xea944294, 0x453ecfa4, 0x2e38662d, 0x7e0d969b, 0x5bb4b90d, 0x53ed074f, 0x72ece588,
+    0x1965fd8d, 0x4fcba59f, 0x9340e28e, 0xb44caeac, 0x56d18404, 0xe0cb0641, 0x831cfdbe, 0x3658c0fd,
+    0x5b400c1d, 0x5a3ad045, 0xf39aca19, 0x9fbd2e3e, 0xb1d6ba7c, 0x8637f326, 0xb89863d8, 0x6f8230bc,
+    0x09356348, 0xe74c97da, 0x46043b7c, 0x8a83037b, 0x0f7a3839, 0x43b40fab, 0x62d0af56, 0x4400e0df,
+    0x242aba78, 0x601c4c0b, 0x4e21842a, 0x43fceba4, 0x75bc68c0, 0x17157f0f, 0x6745e671, 0xa95babe2,
+    0x2ba9c6d6, 0x0b109c52, 0x321b0525, 0x4079316a, 0xa76020ec, 0x26ddffb4, 0x5c731e0b, 0x78642efa,
+    0x0b23d247, 0x308aa4eb, 0x2554c304, 0x048c1f57, 0x5cb69a10, 0x2a405c94, 0x7d10c976, 0xb4486f63,
+    0xd1ca7660, 0x02557a80, 0x5d12c799, 0x1ef77c2e, 0x80caf35e, 0x61df0f03, 0xa5dfde3e, 0xdf8795bb,
+    0xa93899fb, 0x9ecbe370, 0x76ba3c7e, 0xa5eac5fc, 0x9e30d346, 0x514dfe58, 0x1bea08df, 0xecb49f1d,
+    0xcd1461c7, 0xf149ba3b, 0x70bc9337, 0x61a99526, 0x2e714c36, 0xf4aa05a5, 0x534d7c1d, 0x628b7786,
+    0x44787007, 0x67c4caf5, 0x8ea8dfdb, 0xe91fef05, 0xf349d573, 0xe7049d66, 0x2c6fb53f, 0xf6aa7b84,
+    0x3b979a3d, 0x0fb56719, 0x92fdcdd5, 0xa848c229, 0x6a5d05f3, 0x82554f3b, 0xc7c61dbd, 0x77eae11e,
+    0x33792f3b, 0xb0bceb00, 0xb6ce7217, 0x22df32a5, 0xbc0f9d10, 0xf8ebf46b, 0x4ad629d5, 0xa64787fd,
+    0x2e5c6a50, 0xba4ecb3a, 0xc2fb5e79, 0x025c098c, 0xacf4dfdb, 0xa7544293, 0x6b4590d7, 0xbfc7d3f3,
+    0x230c0641, 0x15089c6c, 0xa72b2c5f, 0x983b2db3, 0xc71de5a3, 0xc3bd6f85, 0x4c1a7d02, 0x5f872873,
+    0x0da2f922, 0x1726a957, 0x3bcda128, 0x309bcff9, 0xeb1c77f7, 0xffa7b301, 0x0d98feb6, 0xeaf10f7b,
+    0xf0069b1c, 0x4c848564, 0x35353ce3, 0x7e6af8f7, 0x041ff992, 0x794a90af, 0x1fd22f38, 0x3d4bce66,
+    0x368a9bec, 0xa6b46fd7, 0x9b69a625, 0x4656eb53, 0x04ac70f7, 0xd905aded, 0xb418fb29, 0x133aeedd,
+    0xe273c7af, 0x4f1a1d5f, 0x0c53d1cd, 0xd073c98d, 0xc1d235a1, 0xc225142d, 0xb97896e3, 0xae14ae69,
+    0x3eaa896e, 0xc5d289ca, 0xba393dcb, 0xd8e4aa3a, 0xf4fa308d, 0x45c89f18, 0x1df8d92e, 0x90749e9b,
+    0xc2a02ded, 0xb13b23c5, 0x35060d2e, 0x8c9219d9, 0xe4c58344, 0xf123d192, 0x12824826, 0xb81153d3,
+    0xca0bacb0, 0xe64eadfc, 0xcbf915b0, 0xb86c1294, 0x1cc2f4eb, 0xab19e57e, 0x37f6c609, 0xfd7fedf4,
+    0x837b7a21, 0x994a4c1b, 0x928d553f, 0x93981ebc, 0xf594f7ad, 0xa6814c62, 0xb640ef85, 0x710918ad,
+    0x41773fb2, 0xaab2a6ac, 0xe6491cb1, 0x98d8aacf, 0x61dae22f, 0x2b85b76c, 0x67e23001, 0x71da17ed,
+    0x426e02ab, 0x7eebdce8, 0x15d87d96, 0xca72208d, 0x76dc7e6b, 0x4fd3192e, 0x4d44e19e, 0x2e2d685d,
+    0x0545d6e2, 0x9ba9fdc9, 0xa4c95fcf, 0xe4ca97a3, 0x20c33c68, 0x82bb92eb, 0x8db43dec, 0xfb94b05e,
+    0xa283cc65, 0x0a8a485a, 0xb4c499e7, 0x229cd15b, 0x2669a062, 0x83ce79ff, 0x3c7fb4f0, 0x5ef826ce,
+    0xa5fd1869, 0xd9244e88, 0x4fd3592c, 0xd9e64115, 0xd68939a6, 0x706ff481, 0x4ed59a56, 0xe1aa6a50,
+    0x9f21fbc1, 0xe65274df, 0x7afa68b8, 0xd5d21234, 0xd5f45a14, 0x344974c9, 0xf270fd8f, 0xcb9f9b2d,
+    0x50c45718, 0xeabd1301, 0xbfd4f894, 0x566def54, 0x0cdeaf57, 0xb9212725, 0x1c244a87, 0x792f488d,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000001\
+                         15792089237316195423570985008687907853269984665640564039457584007913129639936 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001,
+    0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5901, 0x05cf0b39,
+    0x00000000,
+    0x848299d4, 0x3a0f7a81, 0x691681fb, 0x61298ce9, 0xc9e21637, 0x52a99bc7, 0xce0e2528, 0x0c3de319,
+    0xa87e684f, 0x81231075, 0x005f3077, 0x031e0d6c, 0x38a6adb6, 0x2244be80, 0x2e3920ad, 0xbd151e40,
+    0x226d03c9, 0x62ef750e, 0x73d4aaec, 0xbdcdf166, 0x23d18ff5, 0x0a4ad094, 0x0bc460e4, 0x06c03fc8,
+    0x04be2c0e, 0xce36c6e2, 0xdf75d2c4, 0x5cfee5d7, 0xb75113c6, 0xa5c07b07, 0x389c791a, 0x0ac6ffe5,
+    0xc9079c13, 0x5aeaec10, 0xcab6644f, 0x3a3bcadf, 0xf658296e, 0x3e226064, 0x35231aa2, 0x8db1f621,
+    0x66cfd6ab, 0x248b6dcb, 0x9ea4b284, 0xbfc16fdc, 0x9bf3f481, 0x2cc74ed3, 0x55d88a8b, 0x1a146f3c,
+    0xe06446f8, 0xed43f8a4, 0x3d468339, 0x27e49838, 0x5ba63537, 0x6199b922, 0x99c8f472, 0xa1f17c96,
+    0x7aea141c, 0xc546cfaa, 0xd8300ce4, 0xec69a499, 0x4f3642ad, 0x80f67681, 0x0d904e65, 0xfcaec774,
+    0x5986cab3, 0x7c79a4fc, 0x173a8dee, 0x4cd17140, 0x33dc0357, 0x332826e5, 0x002741f0, 0x70d787a1,
+    0xc29d3e2c, 0xea33aef2, 0xdd3728f5, 0x11969b71, 0xc5a356e1, 0xd0af5f6c, 0xded92fc6, 0x3f33f1a8,
+    0x5674e9be, 0x96642818, 0x5de2e154, 0xe574decd, 0xf39cbf4f, 0x97ce9fc2, 0x7ca18c02, 0x8c4b1201,
+    0x7f81518f, 0x14c50dbe, 0x49966c83, 0xc1139f18, 0xe8fbe5a9, 0x0e552728, 0xbbe7ad8e, 0x6725c8f1,
+    0x76a4db73, 0x1aaba705, 0x7a4f76db, 0x5b870d2a, 0x1a798041, 0x53b2919f, 0xf84afcc9, 0x0a41d739,
+    0x3a87883c, 0xbfb4ee63, 0x0bfb5b82, 0x15b06715, 0xa68c4fa5, 0x1ccd590e, 0xe60475c6, 0x4944ca0a,
+    0x02c8c515, 0x72e65d76, 0x6349fb94, 0x6af145a7, 0x9b383c15, 0xfabbd4a2, 0x26da3261, 0xcad98e9d,
+    0xee47b0ab, 0x2c706235, 0xc8d0ab16, 0x7e90f827, 0x7498ba9c, 0x0a9b784a, 0xca45b147, 0x3718d804,
+    0x5238a7d4, 0xa4c0910a, 0xe8ee9b9c, 0x28b340f5, 0xc3a3b1fe, 0xe2e31d9f, 0xe55617df, 0x20a1fdd8,
+    0x4d3b2450, 0xd6d066ba, 0x231eb269, 0xbd51e09b, 0x0d77f56a, 0x5eb62c4d, 0x86a1e90f, 0xa394f1b2,
+    0xa1a970b2, 0x1cf866e7, 0x3a8ea651, 0xa7a05f1d, 0xb887573e, 0x5533b608, 0xfff65ec3, 0x01b37d99,
+    0x9bb4edb7, 0x12e8cfe0, 0xf61a7c6f, 0x79445e8b, 0x2c15934e, 0xae764757, 0xa656534d, 0x5bc420ae,
+    0xb648cde5, 0x255b0446, 0xa624b771, 0xa7a397a0, 0x43c773c1, 0xef252772, 0x8c1454eb, 0x4f9ad002,
+    0xd952bd08, 0xe5257f9a, 0x5eef83da, 0x5e8426a0, 0x1229cabc, 0x1119453b, 0x3ab0030e, 0xa58f1de6,
+    0xb8b49273, 0x3fce25a0, 0xb844b00f, 0x993c37d4, 0x6538ec02, 0x37887366, 0xafb7bd0e, 0x9b1d368f,
+    0x14258bfc, 0xaa1f23ae, 0x3cddb106, 0x5221babf, 0x00a37be2, 0x2b3b953d, 0x9aa40295, 0x54d3c418,
+    0xa7f42dd3, 0xaf6b9c8d, 0x2501e08a, 0xec2e36ae, 0xd705ebef, 0x742451c7, 0xd7a1d362, 0xe64c30cd,
+    0xd8ed2e8f, 0x39f334ee, 0x4289ae06, 0x99e0ad65, 0xb297bc83, 0xa8db4a6d, 0x838a3e81, 0xc3c12be9,
+    0xb5fed146, 0x25d777a7, 0x204e2022, 0xe12315bd, 0x15ab1b02, 0x330e8923, 0x88d09932, 0x4fa9a917,
+    0x18c1c239, 0x57d6371f, 0xbf1379ff, 0x71498189, 0xbadf56e5, 0x6e82c38a, 0x467f3710, 0x99a915a8,
+    0xc83a6108, 0xba809b21, 0xdd66d2aa, 0x802aa618, 0x49c33f36, 0x622d5c6c, 0x8e3131ec, 0xb5b65e5d,
+    0x18ad993c, 0x2f859d71, 0x5c7aa458, 0xe6c2d363, 0xa2f9e877, 0x9f419a56, 0x651b99e5, 0x2f8de389,
+    0x9ca2bcfa, 0x7834a012, 0x1196d7ec, 0x001d3be6, 0xdd00a681, 0xd0fa3890, 0x5a8fc278, 0xcd89c49f,
+    0xab19d1cb, 0x862fc4a7, 0xeda6cf4b, 0x1c625f26, 0x09d6bca4, 0x7de90f0c, 0xc4f649b3, 0xfae06d25,
+    0x8dbb24b5, 0x26ddab46, 0xae6c10bb, 0xde2eb53e, 0x76f80403, 0x04a6bc24, 0x2fb9ff1c, 0x310818d0,
+    0xae19230a, 0x439be4d9, 0x62be097c, 0x00434cb1, 0x4404c34f, 0x2f4d7247, 0x32968ae3, 0xb5216eb5,
+    0xbf80f3b2, 0x2fa90058, 0x63260948, 0xb6a111ed, 0xa3137661, 0x435daca3, 0xac3c9375, 0xb65a1e34,
+    0x86fe491e, 0xff35df0c, 0xe9c0f5e4, 0x1f47d914, 0x054e742c, 0x9a7eb546, 0x73ae0f94, 0x49d75e42,
+    0x3b7c633e, 0x16cf6f0b, 0x2a214f03, 0xebd61299, 0x0764ded1, 0x9bb51812, 0x6914b170, 0x2e68f483,
+    0x6a80f003, 0xf07dfb27, 0xb52bc942, 0xd753536c, 0x271f4c41, 0xc06c20ff, 0xfbcaaa0f, 0xd47a1b48,
+    0x887aaf5d, 0xcd0708d3, 0x45c958a7, 0x7a98f564, 0x549e1c13, 0x3ca82c2c, 0xb2ad7ea3, 0xe9cf12ee,
+    0xdd93f03c, 0x5edd9888, 0x5fdae896, 0x88d006a3, 0x7384cead, 0x996185f9, 0x00630d4a, 0x08faa820,
+    0x5eef9058, 0x6098a88b, 0xc4e1b3f4, 0x2d40089d, 0x36ae3a27, 0x16b15df7, 0xd110e67d, 0x67c5e92a,
+    0xee97efa3, 0xa11d2437, 0x3d0028f1, 0x51f33fa3, 0xe95535c4, 0xeb91ab76, 0x71c00fa8, 0x0dd6f1fd,
+    0x131bd6ac, 0x817e107b, 0x1dfc79ec, 0xec69914f, 0x5d77a0ac, 0x39f9c23d, 0x5f2951f1, 0xba37906c,
+    0xe9c53bff, 0x4bbcca40, 0x63ef5290, 0xb3c225ae, 0x416adc86, 0xda26046b, 0x575a3b5b, 0xc40cfc93,
+    0x2a970d6c, 0xabe1a97d, 0x9e8cd293, 0xb9f43ac5, 0x09ebfade, 0xd0cd7632, 0xbc08f3a3, 0x7738e58c,
+    0x592b285c, 0xcf8f5fb6, 0xda8e1bec, 0x1e5bc51d, 0x6bf2894f, 0x24d0666d, 0x56936ae1, 0x9dec5b8e,
+    0xb7841711, 0x3a07a397, 0x9aa2f8b8, 0x653acf0d, 0x425ce304, 0x6f0a06e7, 0x30839f76, 0xa7e36535,
+    0x4b48855b, 0x6bb724dd, 0x5724ec05, 0x79478449, 0xe26fceb3, 0x3314bd54, 0x48dc0a7e, 0x59f725c6,
+    0xdaa61773, 0xc52f646f, 0x692162c3, 0x25d54586, 0x5a3f78d1, 0x24853905, 0xa49f2d24, 0xa43f53d6,
+    0xd02b3448, 0x6489b138, 0x1c115bfa, 0xbdf11e70, 0x16a97482, 0x352783e6, 0x9b3dfe2f, 0xf82c51f5,
+    0x089597af, 0xe45e2757, 0x6093bb95, 0xe615241f, 0x2e4e5ce5, 0x09e6179d, 0xc8ae8bb8, 0x999f53ba,
+    0x75d68e92, 0x22cfb3cb, 0x224753e3, 0x007b30f1, 0x693ea09c, 0x9b289519, 0x05543dd4, 0x1f280df0,
+    0x67c8b0f0, 0x5573c97e, 0xd7edea2b, 0x40ef1924, 0xf24aed3a, 0x6bb6dd84, 0x00b08ef1, 0xe4249d01,
+    0xa7c3369e, 0x57b5d99f, 0x656f25b8, 0x13825a50, 0x727424b0, 0x60596505, 0xf4cb6a7e, 0xe70d93ca,
+    0xacf46e7f, 0xf5c5b129, 0x57bda529, 0xe861b3f9, 0x0c5d235a, 0x0ef2fd96, 0xbc8b48e1, 0x62556fe0,
+    0xe0a71246, 0xef640b93, 0x4673017b, 0x0e7f5ba4, 0x84350ad1, 0xb26c1662, 0x59b3e8c8, 0x9057d63e,
+    0x1ed89eef, 0x7b702333, 0x7421c796, 0xa3a3046f, 0x31ce6bcf, 0xd7806e2f, 0x34f97dcc, 0xfe61c2da,
+    0xe98c9966, 0x4cdcb231, 0x501fe313, 0x591d1e10, 0x17e84ca7, 0x8113cd3c, 0xf91d1b02, 0x4c50b1b8,
+    0x1f922768, 0xdb4fc0d8, 0x43ea9097, 0x8a94364c, 0x48c55b9d, 0x025a3356, 0xe75f2cfb, 0x1ceeca48,
+    0x4e1c6a18, 0x12be871a, 0xee62daa3, 0xc0025734, 0xef94feea, 0xc1100e10, 0xa5e3f6fb, 0x93459d50,
+    0x22694605, 0x1a2dd06e, 0xfc03371b, 0x5dfbd15c, 0x3b2ebd0c, 0x43338c77, 0x395286b3, 0xb0b1bd2d,
+    0xf748c60f, 0x6107420e, 0xad6a3c48, 0xb273a520, 0x0f1d26fa, 0x3814c7d8, 0x2ae51cf9, 0x46695c42,
+    0x0b6d9db5, 0x37340b32, 0x7ec100cd, 0x65e32f0a, 0xa9c22165, 0xf6040015, 0x45d08f23, 0x05e6dd04,
+    0x7e7e53c5, 0xe2d6db0f, 0x0c424742, 0xb369b099, 0xfd7c5f20, 0x5c5fad03, 0xc278a5e8, 0xf2586d2e,
+    0xa588a7aa, 0xbc99a9e9, 0x855572f8, 0x7902884a, 0x76e3fd95, 0x33f59be7, 0x00872031, 0xae44c828,
+    0xa53b6d8d, 0x9786b227, 0xcf8505a0, 0x2fac1f8d, 0xbc3354bf, 0x88f1f28b, 0xab454b4b, 0xe5d588dd,
+    0xc538d448, 0xc4869d09, 0xd4dfd03a, 0x11e3efe8, 0x61822721, 0x3d044ffb, 0x547eeee4, 0xa2c37820,
+    0x765746d9, 0x720cd575, 0x7c76bf88, 0x7c7f0678, 0xc7876518, 0x1084c2d6, 0x4870a522, 0x7bb51c7e,
+    0x55d2dfce, 0x15ae609b, 0x7519293b, 0x976fdb69, 0xce0a402c, 0x1415ec82, 0x2d3c4d74, 0x02dd64eb,
+    0xd6c2583d, 0x3579c121, 0xe6ef76d5, 0xec0ff95c, 0xbbdf3fee, 0x703053e7, 0x3cefafe2, 0x0cefd0b1,
+    0x49e4dac1, 0x1a416e2a, 0x873285e0, 0x1d6d3a76, 0x08d2e31f, 0xbf8c2e21, 0x6cca5d4f, 0x6226220b,
+    0x2d655199, 0xe204c5b4, 0x4fe77f0e, 0x871f25ce, 0x2f14820e, 0x1cc2d551, 0xa5aacd17, 0x9ab769b5,
+    0x7bdba494, 0xe5cdb1be, 0xa80c813c, 0x15ff10a3, 0x705a3c57, 0x6cb873c6, 0x8a2e07ac, 0x37988433,
+    0x0ce88e43, 0xe69df90b, 0x42c67092, 0xc7975000, 0x8a14c83e, 0x2cace2ed, 0x260e2fa5, 0x5ae7008c,
+    0x3abafe75, 0x12654721, 0xbeec8004, 0x1a06cb22, 0x256dffcc, 0xa9c48d28, 0xef285161, 0x9d05ba95,
+    0xc11bc8e9, 0x8683e93a, 0x2f0dc95d, 0xcd6b23b1, 0x0a50e69f, 0xb4b7ff07, 0x7aeb18a5, 0x6f28247b,
+    0x6726997b, 0xf830124d, 0x52081ad2, 0x861404d1, 0xc5aa5d7e, 0x8fee31c6, 0xbbfebdbb, 0x96d64fb8,
+    0x73cd94d1, 0xeb9fcc06, 0x8cbde02d, 0xb21ffb38, 0x12362a47, 0xa0c1d641, 0x363de8d0, 0x95cd50f8,
+    0xb16f7c48, 0x71e1ed22, 0xaddb5d69, 0xd8b8c142, 0x5643e569, 0xdba05713, 0x9deedd89, 0xba8aabe6,
+    0x8cf97958, 0x846ef843, 0x3f450b42, 0xc8bd9b16, 0x798cec2c, 0xa4d11329, 0xb775c618, 0xfafe899e,
+    0x5a124c6a, 0x90153757, 0x4a6072aa, 0x0011bcd6, 0x93c894b0, 0xfc918907, 0xb5fe2084, 0x9d92a279,
+    0x8c131e56, 0xe79b0ba3, 0x4cc1f8f2, 0x6166eec1, 0x92f094fc, 0x39dff89d, 0x1e4a5c54, 0x29369fa9,
+    0xaa6d88a3, 0x91707a17, 0x030b818f, 0x8ad383b9, 0xa3665d0a, 0x5472d4e6, 0x26dc7ebc, 0xd2d82c7f,
+    0x96eac7bb, 0x9f0823fa, 0x9397025f, 0xd23ef181, 0x5c80e008, 0x57474fbd, 0xf26e8ef2, 0x1479d114,
+    0xadc09ef1, 0x4318206b, 0xb142065c, 0x7853403d, 0xb1b124cc, 0x7de10ee9, 0x02cf136a, 0x7b30708a,
+    0x22e0b025, 0x39a0b928, 0x56bd3aa0, 0xc347eb66, 0x5866418a, 0x29d9e621, 0xc14c33f6, 0x3a67823f,
+    0x32743506, 0x5d60e55b, 0xddcf3262, 0xc27d7fe3, 0xeac9ee7c, 0x7a5e59f4, 0x4e58a91d, 0x978eeb68,
+    0x81c9498f, 0xc1c5703c, 0x18c30939, 0x46ac204a, 0x36198148, 0xeb821376, 0xed801b42, 0xf2384539,
+    0x7a779c4a, 0xf6c417e9, 0x94f6a8a1, 0xf3ed5022, 0x73cc6524, 0xde1be6bb, 0xd0d929df, 0x6e99b0ae,
+    0x7fdd8504, 0x099d9627, 0x4396e451, 0x7eb97ceb, 0x0e62602a, 0x18a5a9c0, 0x5358bf3d, 0xc699eb6f,
+    0xa4c2cb0e, 0xbe7aa590, 0x7ab69dfd, 0x2c0deacc, 0xb057eb18, 0xf3cb7293, 0xdf4b73dd, 0xf56b0d9d,
+    0x1a220bd7, 0x0779e4b6, 0xf6d18cd8, 0xe08553d7, 0x5e9de07b, 0x1a53e33d, 0x0ea0424a, 0xdc508415,
+    0x3ff72a03, 0x8c160068, 0x21dca0d7, 0x22e8cecc, 0xa860ece3, 0xe18510e9, 0x977f6685, 0x723d779d,
+    0xf41fd995, 0x7eaa0b8d, 0xded1084e, 0x7c75d803, 0xfcc750ae, 0x533f8537, 0xf2118873, 0x822b1aac,
+    0x29f8a8de, 0x552ae9bb, 0x5c7e9655, 0x9968fad6, 0x5770ba12, 0xf08a3930, 0x430f513b, 0xa9aa775d,
+    0xe22dcbe3, 0x6291419d, 0xfc572841, 0xdd331450, 0xb9c8fdbc, 0x8dc0cb7f, 0x26bc962a, 0xcfbee3be,
+    0xbf313b10, 0x955eac49, 0x9c9a308e, 0x0f4e2e3f, 0x09ac5469, 0x4b330c57, 0x84129836, 0x11429f79,
+    0x82151fb2, 0x6f960302, 0xb6f17730, 0x3b6bd74a, 0xa26c5fac, 0xd0daa3f0, 0xa6e541f1, 0x77b50824,
+    0xd871923c, 0xe70d02f8, 0x04a5e555, 0x02b766f9, 0xce579e6f, 0x0ee029c7, 0x18f856fc, 0x05274d96,
+    0xcc3eb48d, 0x28a57b3a, 0x4c4ea7ea, 0x68d4639f, 0x5e6fbd28, 0x476bc5b0, 0x9886729c, 0x04592c2e,
+    0x84545476, 0x1baf1f42, 0x267d65b2, 0x6a0a13f4, 0x517a5a35, 0x41c5552a, 0x3a33e04c, 0x8a6d2fb5,
+    0x453fe1c1, 0xc970fc53, 0x94ab9a77, 0x3a27235b, 0x1c4944d6, 0x010fde3c, 0x145ab432, 0x57aad5da,
+    0x89710d75, 0xda56f0fa, 0x8f56526b, 0x07d2210e, 0x6d916295, 0xa25f359d, 0x97294d74, 0xc9617f1a,
+    0xeff1c6f1, 0x7b3daa8b, 0xe974cd0e, 0x10e197b5, 0x1b481406, 0x29cc243f, 0x81abaa5e, 0xa0d81822,
+    0xee33abf2, 0xcf80aa3a, 0xc176b8af, 0x50328c11, 0xf3890dab, 0xfe84ce1b, 0xb81fd16b, 0xed869207,
+    0x3d87f09d, 0x212c1a2a, 0x551824a7, 0x3269b399, 0x7f4433db, 0x73f8574b, 0x3e1de3f9, 0xb1cb3d59,
+    0xc01e92ac, 0x07c6d054, 0x6a0df0ea, 0x302331e1, 0x832ed910, 0xded15e4e, 0xa8b2b0e6, 0x6193f62d,
+    0xc4489eac, 0x10c0381a, 0x22f63b7e, 0x988b922e, 0x9578f882, 0x95ef623e, 0xaeb7de70, 0xa247598e,
+    0xc8e227ed, 0xe527167b, 0x04b74432, 0x3a83c1aa, 0xe287656b, 0xc3718b5d, 0xaef36e79, 0xab27d806,
+    0x3510c36f, 0x42b380ba, 0xdf825128, 0xbe5d45fe, 0xf3997717, 0x93ebe3a6, 0xd49cbd05, 0x5eb7fdb0,
+    0x3256e338, 0x489d6b45, 0x5d1027d7, 0xdb30d6aa, 0x63518393, 0x3e184c1e, 0xdb945d19, 0x7f3eca75,
+    0x3a4d8ebc, 0xb7704ab8, 0x6da04487, 0x11d57831, 0xede927df, 0x72ed43a5, 0x7b8d84ca, 0x3c43f2ad,
+    0x5286cd62, 0xa7fa4f48, 0x6a14176e, 0x5f60d8c8, 0xcaca141c, 0x6eaa9d49, 0x7b0aa757, 0x74b23b95,
+    0x6bbad18e, 0xfc581409, 0x7d382866, 0xf0afb22f, 0xe9ed3399, 0x5024ac82, 0x92a0bc88, 0x71c11c9b,
+    0x90f5d1ea, 0xc75012a3, 0x029c6a0a, 0x73e95bd3, 0xac8b059b, 0xdd4f56a0, 0x1fd8b16e, 0xef643d77,
+    0x3efad468, 0x91136b9c, 0x1524183c, 0xb78f36b4, 0xb60efe3c, 0xb204550f, 0x28d080f9, 0x67121c1a,
+    0x4a1580e9, 0x10851993, 0x2b0c8a1f, 0xa2a87239, 0x134c43b9, 0x89dfbcaf, 0x80debc54, 0x5f73e4b2,
+    0x3f319b3a, 0x5ee085f9, 0x4733afc8, 0x29ede004, 0xd39dbec1, 0x97012ee4, 0x715596d5, 0x0e0ffa60,
+    0xea5da84c, 0xdc1af5e0, 0x92c7c4bc, 0xb9e4e2cb, 0x5a386720, 0xcec44963, 0x58fceb3b, 0x7d206ac7,
+    0x8b1060b1, 0x39e2f71b, 0x8e705cf1, 0xfe209197, 0x0c30e6ac, 0x41fb7d68, 0xdc55d1c3, 0xb19d33d7,
+    0xe6535a6e, 0x8560f35c, 0x8285eaeb, 0xd18ef4d7, 0xbd682be2, 0x21283766, 0x82feab79, 0x6c38e30b,
+    0x99999440, 0x75adb8ed, 0x2c3465ba, 0x1425eb13, 0x8dfb4e33, 0xff6d5cee, 0xb2769445, 0x1d580502,
+    0x8389159f, 0xa7541283, 0x318725df, 0xf7c6471e, 0x11ab363f, 0x8812579e, 0x6f7359c9, 0x110953e4,
+    0xc04fa496, 0x0b7060b2, 0x0ec1037d, 0x8b3bd5bc, 0x2fc9b182, 0x953a568d, 0x6841a8a5, 0x5d161ccd,
+    0x37d4b0af, 0x6d6a05a7, 0x161eef28, 0x30dce677, 0xe63bc893, 0x09bd5c0f, 0xf7fce5b7, 0x06725594,
+    0x462040dd, 0x44917692, 0xb2d010b9, 0x4f46b808, 0x3eb96a5a, 0xc149025e, 0x91516ec2, 0xf05f5660,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         57896044618658097711785492504343953926634992332820282019728792003956564819968 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac80, 0x82e7859c,
+    0x00000000,
+    0x823c4d7f, 0xb2ea2594, 0xe72ae9ff, 0x0c4b92ff, 0x60f20364, 0xe4fb3c4f, 0x53d0711b, 0xcbc2f35b,
+    0x12aedbcd, 0x0640641b, 0x68699182, 0x71a8272b, 0xd2f51496, 0xac059723, 0x336f3b10, 0x1e8f8b2b,
+    0x0d7ba6f2, 0x98bb5af7, 0x67ef4b17, 0x19cddbd6, 0x939a6a9d, 0xa0ea936b, 0xa5740f93, 0xe3166b4c,
+    0x2a6ecee7, 0x8c98e84d, 0xeaae75f6, 0x5e1f6eb3, 0x2576db14, 0x9929c75e, 0xa1b3b60c, 0x44df3e61,
+    0xeaa3c19d, 0xfb1c145d, 0xc32a6477, 0xc08a0211, 0xf069e101, 0x4f781974, 0x95f41262, 0x0760d2dd,
+    0x01b89591, 0x426bf35c, 0x9eb70b4a, 0x8354e776, 0x22448bb0, 0x075d4a6c, 0xc2802cf3, 0x6492b18b,
+    0x5d89a382, 0xbdfce8d2, 0xe4e48f90, 0x95197126, 0x5c88ad5e, 0x1e871054, 0xf1c17c82, 0xfcd6c9df,
+    0x30a8337a, 0xe9e29ab0, 0x9fe714d0, 0xf163710e, 0x3c2bd19e, 0xb97ad9d7, 0xe816c8bf, 0xf4beeb6b,
+    0x658bc4a1, 0xaa6f0787, 0x1c011430, 0xcb70ce72, 0xa855df37, 0x9473c2a1, 0x5ad545a5, 0x08dce39f,
+    0x2fd87e73, 0x962594db, 0x72670271, 0xb0d31df8, 0xc26f4210, 0x2f6400e7, 0x9020724c, 0x005900c3,
+    0x493eb320, 0x077e9191, 0x22e26a48, 0x9d97aa65, 0x83f8121f, 0xf5259281, 0x2199ac0a, 0xe113e114,
+    0x1e7fa930, 0xa144371a, 0x658aea81, 0xf0ea3979, 0x44d9c6fa, 0xd637db8f, 0xfaf984d9, 0x5e4173ca,
+    0xbf5a9785, 0x8481e876, 0x8e7923b8, 0xa81a701c, 0x2d503b4d, 0x9814323e, 0x3d44a1a2, 0x26d89c17,
+    0x2dab1457, 0x3990fa3d, 0x5332f2a3, 0xadde25dc, 0x4eb46221, 0x13185c4c, 0x8740e509, 0xadc0f208,
+    0x30c3c715, 0x0e28f1b4, 0x317ca9cd, 0xa979d750, 0xeb53e0ee, 0x4b70ed6a, 0x5cffbf5f, 0x4623762b,
+    0x12209e4c, 0xc58b8a9c, 0xaed2213e, 0x0751897f, 0x94e30300, 0xcd4a8ede, 0x8acaa384, 0x3b8a03cd,
+    0x022df160, 0x4f67806b, 0xca6f5d13, 0xe9823fb8, 0x1412b0b1, 0x607d6ff1, 0xb6909ba7, 0x6d5d102d,
+    0x6c80b098, 0xb70fffd5, 0xa9090331, 0x96b02b28, 0xfc9a6308, 0xb0a9c697, 0xb03339ba, 0x28c851d1,
+    0xb8c03b0f, 0xd083bb30, 0x1b898896, 0x6dc0c564, 0xf220dc99, 0x40f8443f, 0x035717b3, 0x3a2d6ef3,
+    0xee82586b, 0x1773bee9, 0x7807310a, 0x7542c903, 0xb977c78d, 0x1640fabe, 0xecf0601d, 0x4cfeffee,
+    0xd849e356, 0x4f44c423, 0x07c84189, 0xfad2dd75, 0xcd816225, 0x8555a92c, 0x29c5c93b, 0xf6fd9ea1,
+    0x97ec23fc, 0x91d189ed, 0x7f2b07e1, 0x1f0932ce, 0x3dcd03fa, 0xfb386617, 0x07b42317, 0x3065a02c,
+    0xb2737935, 0xd6ddc5d0, 0x293f4ff0, 0x5593c3b0, 0xfae4ce5c, 0xe083b728, 0x73de8df2, 0xd4aa977f,
+    0xcaeff3bd, 0x356d270e, 0x58b30ed5, 0xdb43631e, 0x54d8dbfa, 0xbddd8d6b, 0x6fe12af7, 0x1e08c5f6,
+    0x05ed2a16, 0xec2b8e71, 0xa9d2d184, 0xba47263f, 0x00b4245f, 0x3ae0a6fb, 0x5fb9c91d, 0x020774af,
+    0x2db56185, 0xde4d4380, 0xd3908467, 0xea36b53e, 0x044c0ea0, 0x54ea65b7, 0x49c7aa66, 0x64bfaaae,
+    0x673fa5ff, 0x3e6a05c4, 0x98ed06e8, 0xc97b98f2, 0xb41e0320, 0xd53c3e2c, 0x5ef82416, 0xba79064c,
+    0x05a8ac90, 0x77ae33fc, 0xfa68a2ab, 0x19dd8c9b, 0xcf0126ba, 0xf3886fd2, 0xe679f4fa, 0xf992c92a,
+    0x4654ad47, 0xbf09bda6, 0xb26690cb, 0x804c20b2, 0xb37dcad0, 0x7e84679a, 0x31733c4e, 0x4e70a247,
+    0xbec3d791, 0xd6a96f8d, 0x5445b037, 0x3813f321, 0xa444576b, 0x37c30a5a, 0xd1071c4c, 0x0f844c25,
+    0xedd2df7f, 0x3131de3e, 0x5438aa32, 0x265f3a67, 0x12b0613d, 0x595b3003, 0x3fe3f95b, 0x57c58265,
+    0x67288807, 0x092d5267, 0x52e0e72c, 0x5dd393f9, 0x7b5c4926, 0xe7347365, 0x9e0cf5a2, 0xb0ae3b7b,
+    0x048f8dec, 0xd0e49085, 0x8442eb87, 0xa2c4f0e8, 0xdc954e9f, 0x2319189c, 0xae1a1a7f, 0x08ce708a,
+    0xeb921362, 0x96a34b16, 0x3835f811, 0x7c91bd87, 0x6013f648, 0x70a4990c, 0x27a28387, 0x96db1e1b,
+    0xc3b975d8, 0x1043b603, 0xa7286f43, 0xf99031d2, 0xe5761b0d, 0x9dff721f, 0x8ee84aa7, 0x2f74d286,
+    0xc674598c, 0x33ad44ae, 0x41b8faf8, 0x302d1ea4, 0x1a87fdc8, 0xc052be64, 0xea0a344f, 0x2ed352b1,
+    0xa5dc0e4d, 0xf7bf3c66, 0x467c9050, 0x547ae3cb, 0x8a17e5cc, 0x7ee85ef1, 0x6ca8fcaf, 0x3cfb9f4a,
+    0x79d0302e, 0xa5308149, 0xc0fcb078, 0xfc21c9e8, 0x3ee8888a, 0xcfd4e06a, 0xa93db43f, 0xca5cf738,
+    0xe47a0327, 0x207b4b91, 0x12efda78, 0x361c6b18, 0xba365bf4, 0xaf7f0105, 0x952ae543, 0x832f4306,
+    0x51710ac1, 0x7a8c3739, 0xcb37d071, 0x32a98abd, 0x95d3e33b, 0x874603c1, 0xaf0657aa, 0x4ce72cfe,
+    0xb369b0d4, 0x43e780a9, 0x7ef4cfd8, 0x4f1171fa, 0xa3a26527, 0x8d98e1fd, 0x68349a0a, 0x381a9f6a,
+    0xe9b534a7, 0x10064d7c, 0xfcb53ac6, 0xaf2dd358, 0x48355a20, 0x46440481, 0x4356ed1f, 0xd14e87f2,
+    0xde1c0988, 0x56da965c, 0xdd3976f8, 0x51c13f79, 0xffc7e0fe, 0x024ded77, 0xc9e2b41d, 0xe088040f,
+    0x4354a929, 0x0b0ad489, 0xb644d295, 0x0f7eb966, 0xfc42f458, 0x482a458c, 0x53311555, 0x37684b23,
+    0x49ad1543, 0xdd9e52c7, 0xdb4f9568, 0xc2ba6336, 0xa7dff46d, 0x50d1c767, 0x95e215be, 0x67073699,
+    0x12539a58, 0x2e11a6b8, 0xffdb97c3, 0xd42790df, 0x0cdb6e92, 0xc17094dd, 0xdb29111c, 0xfaf8dbe5,
+    0x90d60727, 0xe974d343, 0x7c3b127c, 0x8053e4dc, 0xfcb9c1fd, 0x3ef3c139, 0xffc8e082, 0x63aaba0f,
+    0x45c2ee75, 0x1370f289, 0x7e2abca1, 0xe6949892, 0x3e4ce15e, 0xfca43283, 0xb3e643e8, 0x5e44cc09,
+    0xaf0d03ca, 0x40830813, 0xc426a3df, 0x0e7c2198, 0x15f1890d, 0x5ccb6229, 0xad84ed3c, 0x3a2cd063,
+    0x17debc76, 0x9c9a36fb, 0x598071f4, 0xb2100f4e, 0x75e181de, 0x1b6f0d07, 0xe2be9814, 0xdd81f27b,
+    0xccca2c8e, 0xcd7284bb, 0xcd36b54d, 0x05465e4a, 0x3789edd9, 0x06e8d7dd, 0xa9eef32a, 0xd5f3b3f9,
+    0x6e4cb1bc, 0xfd530a3e, 0x279441b0, 0xf5c82db5, 0x8195e41f, 0x4375a1db, 0xc63035cc, 0x377d9f85,
+    0x829c0c5c, 0xd35fba64, 0x1066ec5a, 0x393144e3, 0x9c604cf9, 0x115b143a, 0x39c7dd54, 0x7932f047,
+    0x8784c91b, 0xc05dcb20, 0x3234b478, 0x329ba8f6, 0x793d4f49, 0xbd3c503b, 0x5693df68, 0x06df0b0c,
+    0xb3ae88e8, 0x251c6912, 0xd656f020, 0x1b2a00fe, 0xa822b2c8, 0xc421bd3c, 0x79b98c69, 0xc5b96ef7,
+    0x3fb59b87, 0x0a141c51, 0x3ca60f3f, 0x52d37a64, 0x2f0e72e0, 0xd6867509, 0x10f7a182, 0x351df5db,
+    0x9eddc237, 0x7c89443a, 0xaa078053, 0x76f759ec, 0xbf1bddf6, 0x7137d5a9, 0x793e9603, 0xf0264b18,
+    0x369b684c, 0x91eab50f, 0x01d26c42, 0x2382ff49, 0x20e9a1b3, 0x9d36078a, 0x758c977d, 0xbd4e993e,
+    0x197ee738, 0xd94323b3, 0x0f08fca1, 0xf7b149f8, 0xff90c0f0, 0xeb8c45ba, 0xf96b1b2f, 0x781c909b,
+    0xc3077d2c, 0x63e4a0b5, 0xc72ecf06, 0x3481a479, 0x22495b36, 0x497a5223, 0x1bc2a541, 0x419834e5,
+    0xccfe80b7, 0x3a53a04d, 0x3d630922, 0xc0d75795, 0x38abada1, 0x56731020, 0xd185aa2c, 0x271d5b25,
+    0xb5c3942c, 0x33c04adc, 0x5d80f61b, 0x3f881b9b, 0x89bad45a, 0x414697be, 0x7ac13597, 0xf229f0c4,
+    0xc020ab6f, 0x976b700a, 0xc0c2d3b4, 0x7e05e16e, 0xf9091704, 0x19ab00fb, 0xdbdc624b, 0xdd864892,
+    0x4a3d6bdd, 0x40703c73, 0xba4b409d, 0xee496daa, 0xb566e632, 0xad4dd028, 0x003173b3, 0x2281b758,
+    0xa45069e5, 0x7e8a9f8b, 0x275d3ccb, 0x149bbc2f, 0x5aab646d, 0x741e2f34, 0x0d4fb500, 0xc0ff1761,
+    0x5acc0907, 0xab66517d, 0x0298b3ac, 0xf1e782bc, 0x451cb07c, 0xf9ac15ce, 0x566d0ea0, 0x4c4cd5e8,
+    0x4426ea62, 0x52068248, 0xe6365dec, 0xdf23536e, 0xd66426d3, 0xea215448, 0x1ba2cd81, 0xf7c77b55,
+    0x21282010, 0x8f1b60b0, 0x8a512e29, 0xfe818183, 0xa5b3f12d, 0x6f431cfa, 0x3ef7a7e6, 0xe5222267,
+    0x53dd1eb2, 0xefc9cc47, 0x3c773fff, 0x3322bdb0, 0xd5aab311, 0x18b0a0dc, 0x9f9be445, 0xda1d2c22,
+    0x49bbcd93, 0x229df320, 0x5ef062d6, 0x42a04c56, 0xc2ab2cb0, 0x72a59be3, 0xac1c5cb4, 0xc1ae9f5d,
+    0xc117344d, 0x63b17806, 0xe2b3c4bc, 0xa9647051, 0x6eba3323, 0xa742beb1, 0xf1baf2d9, 0x6f38145f,
+    0x072f5caa, 0x904829b3, 0x346cedac, 0xf4af24f0, 0x7cbf78d2, 0x3dae7b6d, 0xaccf4370, 0x28a4853e,
+    0x3742416f, 0x92af8b72, 0xd75fecf1, 0xac6e8b2a, 0xdee015d6, 0xab61c601, 0x3fac0cd5, 0x98ffb2d5,
+    0x82d75142, 0xb5ed2461, 0xa7567739, 0xf6df5307, 0x1212980e, 0xc764ce53, 0xc6dd61c3, 0x9aa25b81,
+    0x4d603a77, 0x51c019a0, 0xaa5b41e7, 0x4202d40a, 0x127b24ad, 0x843e09b1, 0x84a78ef5, 0xd00070e9,
+    0x93cb05b6, 0x1bf6e1c9, 0xb3cfd02c, 0x5a8466e3, 0x73678fba, 0x12f91509, 0xecd7e1c7, 0x9ddf0050,
+    0x6a9760f2, 0xb2ed8858, 0xd10e4623, 0x70c9fe0e, 0xac50278b, 0xd8e0b55a, 0x6fbdeb6c, 0x6a4aa6ac,
+    0xa37eb2b4, 0x94ecc244, 0xedc0d462, 0xd7f578c1, 0xc67f839a, 0xee6468bd, 0xbf5cbe4d, 0xf21c2059,
+    0x46a56e2e, 0xa72ca0d1, 0x20d08afa, 0x57191e8f, 0x915b8f64, 0x32f7ee36, 0x87cdb8a1, 0x1d2e47a8,
+    0x22ef3e52, 0x0c36eed5, 0xb6b5f347, 0x53d446e5, 0x62b124e8, 0x8f968d3d, 0xf3b2c904, 0x17207c63,
+    0xb49eaa94, 0x73e858f7, 0x25f6021c, 0xae564386, 0x617feda8, 0x85bdfd29, 0x5bd6defe, 0x3b1e2efc,
+    0x8e43ba98, 0x7a4454c7, 0xe249590a, 0x62597112, 0xcfa2077d, 0x96231e73, 0xab1f5b68, 0xca38c9f7,
+    0x8ee03d3f, 0x26e3dcf4, 0xb50e8abf, 0x22c82459, 0x1389a7e1, 0x06631f92, 0xca6658c4, 0x77b86820,
+    0x0384a153, 0x1fbed932, 0x2f9178a6, 0x91631228, 0x8a57eda6, 0x94ab2667, 0xf0e7a6fa, 0xc9469966,
+    0x9591ce70, 0xe8d0c060, 0x33b48806, 0x6412e1bf, 0x81c293c9, 0x183bba40, 0x50ef62bc, 0xccf4ecfb,
+    0x9ccc1387, 0xb46b34ce, 0x67044c90, 0x9a2c9899, 0x36091de2, 0x43338832, 0x94d0cdba, 0x068850ad,
+    0x02846aee, 0xc6db1add, 0x49d16cc8, 0x07e97100, 0xe4a28582, 0x47fabf0b, 0x8d0dd253, 0x1be23e2d,
+    0xb38680da, 0x67fdfb10, 0x6da1a0cd, 0x389859ec, 0x48192e11, 0x81946142, 0x3ca551a8, 0x27b43d53,
+    0xd3a41342, 0x7bd554d2, 0x2bd16ec9, 0xebcf8469, 0xea92f96c, 0x9770dffd, 0x78736038, 0x0cf49317,
+    0xa804b04a, 0x7ddef1f8, 0xb6b9791b, 0x672374a3, 0x97264c63, 0x8ea8ec2f, 0x605d8197, 0xf86d021d,
+    0xddf6c0d0, 0x94a2198a, 0x39781d0b, 0xd9a129bb, 0x1859fb0d, 0x4566d187, 0xee29fac6, 0x272515f0,
+    0x536d4005, 0xef18ea61, 0x039422c9, 0x4aba1877, 0x32aa2011, 0x31b99ab7, 0xd9369f82, 0xa53d5183,
+    0xcca0f70e, 0xc4b69266, 0x84b380aa, 0x4b5e5fea, 0x722295ee, 0x176dd5d8, 0xc50eecde, 0x5d2bf745,
+    0x3ed5df9f, 0xd9095375, 0x66e19751, 0xe889ecd3, 0x0046fa85, 0xb42a0a26, 0x8bce958b, 0x52898ec8,
+    0xe228d1a1, 0x2ba6750c, 0xa021b0d8, 0x840eba86, 0x874573e8, 0x1b369c6d, 0xc4f0931a, 0x050d0983,
+    0x71e93112, 0xa99e4abd, 0xbb6dbf43, 0x98dc1a45, 0x19045575, 0xbc66ae6d, 0x4d965d8e, 0x1b48e80f,
+    0x567ef086, 0x49ad8de4, 0x1907bd41, 0xe30e6a50, 0x0ad05c26, 0x38cb767c, 0xe84b37ff, 0x973d63f4,
+    0xc073d913, 0x8a36b86e, 0xaa0d11c7, 0x8f2782dc, 0xfadd12ec, 0x69dd2341, 0xbbe34c7a, 0x8af6bb53,
+    0x9417476e, 0xc4f28fc9, 0xee0d9e00, 0xb16a28ee, 0x0a719e4b, 0x325af72c, 0xae1f4fa8, 0x6206f868,
+    0x92f96212, 0x266de647, 0xd974cf6c, 0x32279df9, 0xaafd0d80, 0x8fe2cfc2, 0xa0a28f9f, 0xe5442eec,
+    0x80302bdb, 0xeaa1dd7f, 0xd7df4036, 0xb8828ee6, 0xc5b317d6, 0xff8f06f1, 0x40eb9095, 0xede4a226,
+    0x3e347dd2, 0x326a3829, 0x1b520cd9, 0x98f94465, 0xe93285ac, 0x08df7b6f, 0x43cd2061, 0x36e8ac2e,
+    0xa3f521be, 0x3abba221, 0xff896e7d, 0x8ecf12cc, 0xf7247a26, 0x98bf0c07, 0x6e824737, 0x92d663a8,
+    0xa8798006, 0x8b66b4c1, 0x5fe99d81, 0xd8e887d2, 0xb8a5bd9b, 0x5e2ad4d6, 0x512bd141, 0x0d3ad1aa,
+    0x3bcdd5f3, 0x4bfbc0f0, 0xd7df0f26, 0xbc3ef2e6, 0x57354520, 0xe18d631d, 0x18aab2f8, 0x2d07a4c6,
+    0x9bb31e5d, 0x9803ea5c, 0xfa6407c0, 0x30943f1f, 0xc42af091, 0xe7d7dfbb, 0x5f511649, 0x4a6c8ed0,
+    0xa2a2cc68, 0xb1744a14, 0x20661e86, 0x09f0c052, 0x208affb1, 0xe6e3f135, 0x44bb8170, 0xd6be4905,
+    0xa74960a9, 0x5315c745, 0x5607935a, 0x475da768, 0x7301bb5e, 0xb3c654a2, 0x874daaab, 0xb271b309,
+    0x7864678d, 0xe998c724, 0xa7188e44, 0x5f7f6028, 0xca91624f, 0x84ca7bd3, 0xad44c2e0, 0x71d6ff88,
+    0xe5b10c38, 0x4d43346c, 0x39d48f56, 0xd511d548, 0x591de4cc, 0xdfe0217e, 0x27e07339, 0x7db9879b,
+    0xbb2c3ea7, 0x10ed2ec4, 0x80890648, 0x44ede34d, 0xee1e2974, 0x35294744, 0xe449fff0, 0x485145d0,
+    0x12b89451, 0x3e6a9c8a, 0x9af25cda, 0xc4ea53c0, 0x23e5bf8a, 0x338f1566, 0xd77b0c6c, 0x0cb06ba8,
+    0x4e80ad4d, 0xb0c43c45, 0xa7d44322, 0x6308e9dc, 0xccb4a2d4, 0x75d3cc3b, 0xb56b8b10, 0x97de17e4,
+    0xa2de3ff3, 0xd2e9e365, 0x4f3b88d4, 0xaea38a7c, 0x69a7b78f, 0xd1c53942, 0x2aa6a96f, 0xa4a7ba21,
+    0x07bd4de7, 0x2358199f, 0xa438706c, 0x3a87e167, 0x7ccd4096, 0x244c5d57, 0xcbec93af, 0xa7e0856b,
+    0xc23837ae, 0x4181b09e, 0xf20c954f, 0x11a57b15, 0x9b1e0cce, 0xf2d96b2d, 0x9cdda51f, 0x53c43d67,
+    0x68d43025, 0x5f4f3d91, 0x084fc2de, 0xa20412ff, 0x4636fee1, 0x8d3a8d61, 0x3f700921, 0x96c2a3e3,
+    0xeefcd6f7, 0xade75de0, 0x75480cc5, 0xd1dab310, 0x1e5ea0dc, 0xe77db729, 0x6e76367d, 0x832ebd75,
+    0x0e1d3a37, 0xbe45cdf6, 0x42682bc4, 0x514fa0b9, 0xace7df7e, 0xea5cb0df, 0xaef77461, 0x2f711a6b,
+    0x10340262, 0xf70dd2a3, 0xd2a34a1f, 0xd0832159, 0x95802c6c, 0x27e51615, 0x126f6674, 0x6ca8a555,
+    0xb799efd8, 0x7baa0ea4, 0x22c96738, 0x2f5b0c5f, 0x5fb4f8e9, 0x7828ed8b, 0x497a77ea, 0xdc29b320,
+    0x517dd0d4, 0x0131242c, 0x1a8841db, 0xfe9ad831, 0xffcad34f, 0x84215a2b, 0x9a3654d9, 0xec7c9c91,
+    0xe60a0b26, 0xb9aa7b76, 0xd7bfe2f5, 0xfcb40698, 0x62ab7a19, 0xc3b2a96a, 0x265c127b, 0xe0752618,
+    0x362af4a0, 0xccd122bc, 0x7a7ddf9d, 0x2d2355c7, 0x725d19bf, 0x316d5391, 0x1f54b271, 0xa22f5691,
+    0x0441af1d, 0x104b084d, 0xc43be232, 0x90be9ea7, 0x6c38ec60, 0x2689d2a6, 0xa58edbeb, 0xc15cff2a,
+    0xd9832771, 0x6983183f, 0xc503d1d9, 0xabb6d06a, 0xca643771, 0x60d23d34, 0xb7f511fe, 0x86cfd3f1,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         28948022309329048855892746252171976963317496166410141009864396001978282409984 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db5640, 0x4173c2cd,
+    0x00000000,
+    0xb697e0a1, 0x02b8ce71, 0x9a4caa33, 0x393e18fd, 0xbfbdec3b, 0xe8a111d0, 0x1f87889a, 0xe9080518,
+    0x2341425a, 0x552273de, 0xfd0e20da, 0x01bc4ae5, 0x893a7e58, 0x09b30037, 0xc8f3880d, 0x721c5c14,
+    0x72067452, 0xa5e77f2d, 0x489534ec, 0xaefa3688, 0xac86e7fb, 0x8c15d119, 0xf3095c42, 0x13b73259,
+    0xa09f6c72, 0xbeda7b98, 0x478a173d, 0x5e91d7c6, 0xf142bb72, 0x73cc0cc3, 0xe7ae30b6, 0x39771c9d,
+    0x599b6f7b, 0x7bbd4b29, 0xb756c834, 0x251741d2, 0x98c5622b, 0x7b90b6b3, 0xfc67d94c, 0xda06abc7,
+    0x9f11f2fb, 0xe5e9229a, 0x71cdc980, 0x9e3bc755, 0x5506099f, 0x81c598a3, 0xa32d9e4d, 0x7d4b3c73,
+    0x199874f4, 0xf9b562f6, 0x5c71b8a6, 0xac71e369, 0xff3ad7e2, 0x405ea7a3, 0xc443dda8, 0xad8aaaa2,
+    0x06fb67f1, 0x3d52dd20, 0xf26400ae, 0x80003c3c, 0xa4335823, 0x325c34cc, 0x2bbd7752, 0x52bfd03f,
+    0xb6d0285d, 0x41afc3f5, 0xf9f23f8b, 0xcbef1f00, 0xc7b3ec3c, 0xaa404d63, 0xadbda38c, 0xa1705e5a,
+    0xe62e77c9, 0x1418001c, 0x2d311bd8, 0x8bbb8875, 0xf9b17fc4, 0xe4b8f51a, 0x128591ca, 0x7ae930cb,
+    0x1c567fd6, 0xfa96d501, 0x665044d2, 0x481d15c2, 0x0a7d3e99, 0x1ed4384b, 0x6874e739, 0x207a1b3b,
+    0xff2de8b7, 0x898d03b5, 0x9490bc09, 0x25ed3801, 0x793ecf44, 0x6613dc68, 0x394e7a8c, 0x514882a6,
+    0x0c584df4, 0x8398ea46, 0xd4fb2c29, 0xf575ce57, 0xfd7c1168, 0x93776c17, 0x10800a6d, 0xc9964d96,
+    0xbfbc76ab, 0xfcb603eb, 0x4778a5e8, 0x9e6eec6b, 0x6319044b, 0x65bf3387, 0xcdeded0c, 0x505addde,
+    0x31659419, 0x660f44c6, 0x83b33a9e, 0x687ee517, 0x6eef002f, 0xf9347757, 0x165c8ba7, 0x4e4c95b4,
+    0x17b6a256, 0x1fddd5da, 0xc30400a9, 0x9208c0bd, 0x1a3c1daa, 0x3e9862c7, 0x2b4f1d96, 0x96af05fc,
+    0xa91aa020, 0xaa07f5c0, 0x1de94fae, 0x36762c32, 0x271106bf, 0xab7b5261, 0x519b5444, 0xf742e5d1,
+    0xaced478d, 0xc64381c0, 0xf0e5594f, 0x95403fc9, 0x16e5d3cd, 0x48864e77, 0x7103fda6, 0xd08dfbc1,
+    0x08d2b911, 0x0e5cda20, 0x5fe9ed91, 0xe9e0ee01, 0x2b42c687, 0x16b9c7dc, 0x347d8fba, 0xe5d19958,
+    0x44c6e4d5, 0xe7aa7aa6, 0xfd8e8a76, 0x889dd274, 0xc8355b92, 0xb7e7ad8a, 0x893226dd, 0xa98beaa3,
+    0xad3dd962, 0xe3718120, 0xe62579ab, 0x48a025fd, 0x84550d67, 0x5657bf36, 0x4576923c, 0x24e1e67a,
+    0x9a3e2de0, 0x343eda7a, 0x8355d096, 0x6442eae3, 0xfae972c4, 0x45af19b0, 0xc693898c, 0x13ea060a,
+    0xecaf7d63, 0x07085baf, 0xa77d2185, 0x2ef8a487, 0xbdac27ff, 0x15318eb9, 0xa04f6d4c, 0xa00411f2,
+    0xf4b3b5c5, 0xf946c3d9, 0x2609a542, 0x65bcc52e, 0x6ca7aa39, 0x79f1d01d, 0x462a5ef0, 0x84d525b5,
+    0xf682e6f7, 0xb0dbdb24, 0xa1349495, 0x98ffb52c, 0xebb051f5, 0xbaabf40d, 0x7ccf6f6c, 0x22b0350c,
+    0x0debc708, 0xe948d471, 0x3fe9c78d, 0xda8a473c, 0xbaf18596, 0x521d7d23, 0x8c736536, 0x5c0c5f21,
+    0x9ba95b8b, 0xae72ca5c, 0x207e1b98, 0xc24c564e, 0xc3d65e9e, 0x91537e9f, 0xa4973d61, 0x5bc67161,
+    0x3f4c0a33, 0x8aef5f55, 0x20257644, 0xda344aa8, 0x5a59faa1, 0xca5b793a, 0xab25b95a, 0x200b0fcb,
+    0x168e4449, 0x964315c1, 0xea4b2d49, 0xcde68c87, 0x5c5b3e64, 0xc6046cc1, 0x59ad4e68, 0xaeeb30d0,
+    0x9b630ddf, 0x2e68d9bd, 0x38e90125, 0x50a19c6e, 0x2566a1da, 0x3eef899f, 0xea61303f, 0xdbc94138,
+    0xdeb5b032, 0xd38d6820, 0x40591afa, 0x89583f68, 0xa5ceba35, 0xde89fb01, 0x9f26f493, 0x6dce126a,
+    0x5f747d39, 0x4f41cf01, 0x96028b76, 0x9cda261d, 0xccf13806, 0x26e362f7, 0xd6632a9d, 0x5fdee42b,
+    0xddab7a51, 0x212c69bf, 0x492f363e, 0x99a0d93d, 0x5b0e8732, 0x7b53e2c9, 0xf6bfe72a, 0xa2230750,
+    0x251fc19b, 0x109bf1a6, 0x9190892c, 0x50b9799b, 0x30981775, 0x76d463f1, 0xb002b7e1, 0x00ca72c6,
+    0x12d4875f, 0xd9fbe599, 0x23492b72, 0xe79ea704, 0xa1c64da3, 0xaf315162, 0xabd98a8b, 0xbb13d0d7,
+    0xca0393cf, 0x1611c05c, 0x6701cb5d, 0xb0661b24, 0x47190982, 0x56cae75f, 0x14c7ec40, 0xf9aa1006,
+    0x71211239, 0x2d1d3a61, 0x49299b86, 0x63616816, 0x6d4e6297, 0x5891f346, 0xd50efadb, 0xa84505e6,
+    0x61a9cb96, 0x0bb11461, 0x70d0d8b2, 0xee803dd5, 0xe415ef38, 0xf4feb66c, 0x0694157b, 0x9c1f4a0d,
+    0x1c2e3f13, 0xa3535711, 0x48cc2354, 0x5a4ed659, 0x7fc17826, 0x4840f60a, 0xa4fb80ac, 0x93d8ab8e,
+    0x5f033fbb, 0xe66c5357, 0xc525bdf9, 0x1f7fc4f3, 0xf1cb4389, 0x1cc5617f, 0xec6e5d64, 0x56f39daa,
+    0x0d9e4d7e, 0x8d12a941, 0x61ca3879, 0x474e6361, 0xfbd456ac, 0xa6bd705d, 0xbacc4a96, 0x689b2a6a,
+    0x8dd6687e, 0x4888dd21, 0x8e35d1dd, 0x22bea258, 0xf16f5b03, 0x177a03ba, 0xca72a615, 0x5fec9626,
+    0x1b2fef25, 0xc29e4349, 0x6b6cd316, 0xfabec42d, 0xd71b4a19, 0x7ea9d60f, 0xef92edc8, 0x33b20cbe,
+    0x9aa88388, 0x685d0723, 0x67351b8d, 0x9b5e04a3, 0x863123e9, 0x80b934d8, 0x82f93a79, 0xad3f8ce9,
+    0x126b9b0f, 0x28639dd0, 0x823d0919, 0xa1ebe0ac, 0x51be31b1, 0x6d83a9d7, 0xd5bec1cc, 0x53ca2231,
+    0x6c83e110, 0x27651d8c, 0x6bfda2e5, 0xb70be61d, 0xb54fc8e7, 0x1378c8ea, 0x390e1fc7, 0x9b4c1173,
+    0x4239592d, 0xde6e730b, 0xc40b9c49, 0x40c7aba1, 0x6bca79c3, 0x63719f43, 0x15586466, 0x9739f29f,
+    0x9611224c, 0x526553ab, 0x315398f3, 0x518ea135, 0xe72b1b4c, 0x87c86d9a, 0xe726bf54, 0x6c11c6b7,
+    0xf2d9a90a, 0x5a617350, 0x82997f83, 0x5e681d05, 0x8093082c, 0x7c2abea9, 0xad0c28f4, 0x24c3eb94,
+    0x174d755e, 0x1bc791ca, 0xf2a13a8e, 0xd81f3711, 0x9b9c7664, 0x2206f2f6, 0x5b15104b, 0x13005539,
+    0x0e8598b9, 0x259927d6, 0x46f59df9, 0x05878e42, 0x7e23136d, 0x77ef6fcf, 0x95ee2919, 0xed9fbc26,
+    0x9b9a6963, 0x220f68b9, 0xee44924c, 0x24c3e234, 0x485d6b86, 0x2c216a92, 0x3308559e, 0x2cc757f7,
+    0x3c53a366, 0xb685bc8b, 0x8aba69e1, 0xd168f0ba, 0xcec820e1, 0x5b1eeb0a, 0xa8ce5604, 0x2f1b849c,
+    0xf8e96e1a, 0xa76d0506, 0xf846ed2b, 0x636da10f, 0x64801a7f, 0x9d495e17, 0xc46b73b5, 0xb3187df0,
+    0x034e177b, 0x586efb73, 0x7eae9ea8, 0xcfba5584, 0xe04f0111, 0x96b66d6a, 0xc96ec341, 0x86aca928,
+    0xa77d037b, 0x0981908d, 0xf612781d, 0x89d2d56c, 0xf466e905, 0x1bc8edec, 0x8acb981f, 0x3b0d86a1,
+    0x021b15e2, 0xed4d7ace, 0xef7d442e, 0xba61ccfd, 0xb69a9828, 0xb0675735, 0x27b2bf1a, 0x3c6a1853,
+    0xd7ea182d, 0x6b58f0b4, 0xb778fb51, 0x2654f6c1, 0xb5f4b9aa, 0xb1643f70, 0x308ef528, 0xa23c389d,
+    0x9385a753, 0xfe0bfee3, 0xbf7e95b1, 0x8f208e8f, 0x3d1a3a78, 0xb66a3379, 0x3c8c38ea, 0x85303af9,
+    0x42ae2516, 0xab68acc3, 0xc43b1e07, 0x1063d40d, 0xeeba8e9c, 0x5f134919, 0xd93d7193, 0x6c912e26,
+    0x9f413503, 0xb3df1c89, 0x32c1ce91, 0xe4e613d9, 0xbc891312, 0x872a7303, 0xb6d0d205, 0x08e66d0d,
+    0x9ded5b85, 0xb7040220, 0x9640d45a, 0x216209a3, 0x3c6ee866, 0x7e9f90db, 0x1cf25237, 0xea42491e,
+    0x52298eaf, 0x4f1c4e30, 0x17ca5b5c, 0x202712ea, 0xb531c202, 0xd9cd29eb, 0x4444e8bb, 0x7cc3e4ac,
+    0x52b3a11b, 0x982f9986, 0xaf1e78ca, 0x06f00fb6, 0x59fb3f8e, 0xd5b6bb95, 0xcdba7c4d, 0xafdb85fe,
+    0xf8184e77, 0x026b5ce5, 0x865a7824, 0xc8ea5bfb, 0x60163315, 0x8a738e63, 0x5aa562b8, 0x36a8f51c,
+    0x21f4c883, 0x1405bf17, 0x6bbf4d9f, 0xa61b2412, 0x4147a280, 0xd2cfeb6e, 0xe349380f, 0xfbd604c3,
+    0x9b0b4e88, 0xfb668c5c, 0xacf147ea, 0x0195e536, 0x78898d63, 0x4932e9df, 0xf8415b4a, 0x5aa34bd3,
+    0x7ef2f61e, 0xde697d9d, 0xce7b2a1f, 0xd68fe2be, 0x0a989cbf, 0x4b9517ed, 0xdda3206e, 0xffe7aae7,
+    0xfd116601, 0x3414f3f2, 0x9c16cd4d, 0x94eee362, 0xbad41c35, 0x76eb487a, 0xb4ffb33f, 0x3791b3cc,
+    0x5a3f1218, 0x1b13ac73, 0x1c29e442, 0xa05d2929, 0xa71d8fad, 0x9e932106, 0x5c41c47c, 0xd7b62856,
+    0xfa1a7df7, 0x250a7463, 0x969aa53e, 0x79ea4bbd, 0x71bcc43a, 0x939b41c2, 0x4b54db38, 0xd3e7e3b4,
+    0xa1d7dbab, 0x96b0489e, 0xcddb026e, 0x99adf6a7, 0x46de9dc0, 0x66402df5, 0x054026fb, 0x04fb8785,
+    0x25a9a34a, 0xa7615d19, 0x533ec41a, 0xc678b292, 0x240770da, 0x777309a5, 0xb94822f3, 0xcd3d812d,
+    0x30fcaebc, 0x96240683, 0x4f80189f, 0xcff161d4, 0x9caea1bb, 0xcff408a1, 0x2a63b33b, 0x900279c6,
+    0xc9125b26, 0xe3a5dba3, 0x92d7ab62, 0x23040415, 0x9518fe78, 0x38f57c9d, 0xdf5c57a4, 0x99ac019f,
+    0x18bb5882, 0x2e874e7c, 0x0e4b3c20, 0x01a18e9e, 0x3d9f5720, 0xf7d41981, 0xa00e8644, 0x9512aa0c,
+    0x1fae3945, 0x3be96a71, 0x23ddb2cf, 0x12a57a44, 0x1eb7f729, 0xf04b2605, 0x702a852f, 0x74233400,
+    0x1cdf2c6d, 0xe65af696, 0x3275b830, 0x338df93e, 0xda261a69, 0xbf986021, 0xbf2e980c, 0x2fb490da,
+    0x1d3fce01, 0x984ee62e, 0xbf326bac, 0x3cc379b5, 0x83f0d2df, 0x9beee644, 0x82df761e, 0xdd225980,
+    0x6bd00cd9, 0x9febdb6b, 0x1aa62878, 0xd9a4964b, 0x41559837, 0xf8349173, 0x552aab19, 0xe2d3d45a,
+    0xc8949827, 0x137101b9, 0x64c389ec, 0x387537da, 0x84f3e14d, 0x3a30fc85, 0xb3c9aec0, 0x765186fa,
+    0x4217142e, 0xce7359b4, 0x99072ba3, 0x05ac78e7, 0x68fb58d5, 0x4bb5a5a0, 0xc7128746, 0xfdb26624,
+    0x10cd7072, 0xd36acc72, 0xcc85ac19, 0x03b6a936, 0xcc99fd2b, 0xf96589be, 0x549974df, 0x3b28cd40,
+    0x8ca9496b, 0x7831b5ff, 0x4b800948, 0x74c402d9, 0xeb198409, 0x8d922d7d, 0xb3a7270d, 0x94d3fd19,
+    0x6f8111ca, 0xf2b42b59, 0xaee84b48, 0x634aea5e, 0x27089b35, 0xa2be891f, 0xb0b68425, 0xa859d9cd,
+    0x9867322d, 0x6716a17d, 0xecebcea6, 0x304de1b1, 0xcbc92d53, 0x3aa4c332, 0x16e0f035, 0x8aebd9e0,
+    0x154910dd, 0xeffd796f, 0x895eb786, 0xe7cfb1d0, 0x031ce48b, 0x653a52e4, 0xb1b11ca6, 0x0f58d758,
+    0x01047175, 0x6fbcdf3a, 0x9a3bde8a, 0xb7a4b4f7, 0x0807dc44, 0xceedd88f, 0x967e593c, 0x0c7aae2d,
+    0xdf8e6da7, 0xdd6001d3, 0xe93ac6f8, 0xfa48f4ef, 0xd5c90b8c, 0x6d6829d5, 0xc738a8a0, 0xfebf757c,
+    0xb3337e97, 0x090bd2a9, 0xaf1eb0b7, 0x1563dfac, 0xed837f48, 0xf5337a5c, 0x3514a243, 0x3fe6905a,
+    0x56d551da, 0x726a38d4, 0x37c65077, 0x4e56cb39, 0x5260e57d, 0xd3476420, 0x5b52e578, 0x020b97ec,
+    0x786935f1, 0x48ee4f3f, 0xc23053ef, 0xd868b6d7, 0xb7572bd1, 0xd6e17aac, 0x3dc68467, 0x7eede010,
+    0xc83152c4, 0x176e5183, 0x9b6c5526, 0x9807bf4a, 0xd8609fbf, 0xdc168a7d, 0xc3656609, 0xbf946eb2,
+    0x1dd2d615, 0xcb800358, 0xd943fe8d, 0xa3342b43, 0xf6968466, 0xe8966659, 0xc3a30b7c, 0xd3de38e3,
+    0x4d104d10, 0x025a01dc, 0x28c57162, 0x1b03759f, 0x3e77dbbc, 0x0d57aab7, 0x75582370, 0x4a935edd,
+    0x95e767ec, 0x328c38fe, 0x7b626c39, 0xb48aadc9, 0x972d3501, 0x89828ad0, 0xf2d337ef, 0x3ddf4ee0,
+    0x17732ef1, 0xfdc29417, 0x5df52bb0, 0xa9db6cd9, 0x9bf8713e, 0xf6b52907, 0x6e193242, 0x689fa15c,
+    0x5fd24df5, 0x93571e0d, 0x0b8eb9f9, 0x9346a818, 0xdff99f85, 0xa556dea0, 0xfa24f7d4, 0xd0831696,
+    0x008fcb3e, 0x2aaf8e85, 0x8050ba6f, 0x28518023, 0x1339efa3, 0x79fca7e2, 0x504e3420, 0x864f7592,
+    0xed5c6af7, 0x27375839, 0xe853dc20, 0x92211961, 0xea52d93e, 0xf47f6739, 0x1e08e7d0, 0x20337c49,
+    0x03d630c7, 0x160b5858, 0x39798e99, 0x4a40c04d, 0x4700393a, 0x768db7c7, 0x520e74e5, 0x96d69b99,
+    0xb80ac7fc, 0xd2916dc4, 0x289bae3b, 0xabb23b5b, 0x438a405e, 0xe9a4a708, 0x28f7d635, 0x1660ff5f,
+    0xd4b9ac8e, 0xeb7f69a4, 0xb39182a0, 0xd97e29eb, 0xdcf293ce, 0x35271a51, 0x54b700bf, 0x613551b0,
+    0x6cb33463, 0x28c69f88, 0x01dc5fe7, 0x4161966c, 0x780139a2, 0x34f90935, 0x0ff3bf00, 0x84e2ec8f,
+    0xf3b3f093, 0xa501841a, 0xbe819dd6, 0x8b6b21f7, 0x0a9eba99, 0x3481cb5c, 0xf3089f01, 0x76d5ffc9,
+    0x2696d192, 0x2a67fbde, 0x3b10c915, 0xa0866270, 0x1f462910, 0xdb3fe55f, 0x11af33f6, 0xc6a38b31,
+    0x10139d5d, 0xd0af28cc, 0xd252b5da, 0xb7ce78fc, 0x87cd43a1, 0xe3355666, 0xf7762f5f, 0x00729ed0,
+    0xeabe1d38, 0x3bb654e1, 0x48c50095, 0xf5214933, 0x61e4662b, 0x8286b80e, 0x4256d571, 0x7526302e,
+    0x33252728, 0x0b0a326c, 0x7092c1d2, 0xd7f054ba, 0x997d9904, 0x569a3c9b, 0xaba7900b, 0x39369c62,
+    0xdabe70a1, 0xa2ea73e5, 0x6165ab7c, 0xf0689301, 0xf4a3848d, 0xb2a6ed75, 0x4b22c6df, 0x0c286f30,
+    0x1070c3cd, 0xdd87c9f5, 0x9cd8ca44, 0xb985eb0b, 0x66e39a8b, 0x07d8766f, 0xa95e3002, 0x3bd20d9d,
+    0x977db331, 0x827726e7, 0x87cdc824, 0xfbdffe88, 0xd41d1d11, 0x0a9d2210, 0x075a8f5e, 0xc38d00e4,
+    0x52302bdf, 0x53cca76d, 0x88a41232, 0xc68880c7, 0x885cbf54, 0x74bfe166, 0xe7135c22, 0xc487aaf9,
+    0x960a0241, 0x44889c49, 0x3ee780a5, 0xd952e483, 0x52068491, 0xf589ae46, 0x90370903, 0x6947b0b2,
+    0x54c90a8b, 0x511094eb, 0xd3bf6a3a, 0x8ad68e2d, 0xd13bd87b, 0xa9e010c5, 0x25fb0eff, 0x2eaf15f6,
+    0x26ac23f1, 0x9b1ef7f0, 0x834a5b4d, 0x9b2bbe0e, 0xb5fceabd, 0xc38c730c, 0xff639eb3, 0x5750c225,
+    0x384ae467, 0x7202bab6, 0xd3319f9c, 0x899a7473, 0x23f92e61, 0xcec65094, 0xbb6acc4e, 0xf6458207,
+    0xd0fc9918, 0xf974d6a8, 0x026af342, 0x9fdecaa9, 0x88f5b41f, 0xcd479e20, 0x7ee60189, 0xf5e65482,
+    0xb8c0003c, 0x7d36d5b8, 0xc9ac97c6, 0x91d3835c, 0xb0134171, 0x2d3ec1da, 0x84b19db3, 0xd40e16d5,
+    0xab209c6b, 0x8eb675e9, 0x0af95670, 0xd1786428, 0x81be4197, 0x36e48fc7, 0xbafdc3e5, 0x91bd8eae,
+    0xbe94ed23, 0xd73427c7, 0x0e35dd9a, 0x8a228d2d, 0xf1ca7686, 0xfcfe095e, 0xb14af8e1, 0xaba4ce26,
+    0x11e62c61, 0xb3c45a33, 0x2e21083d, 0x64709595, 0x244bea75, 0xc07463ab, 0x7d338b0f, 0x26d5ae6d,
+    0xdf5cc983, 0x641ea737, 0x0f53b72c, 0xa8776d3f, 0x7e267450, 0x39146474, 0x56031dfe, 0xf3318b5d,
+    0xcd512736, 0x2b16ffb3, 0x336d1a21, 0x7b7e3177, 0xd1ce541e, 0x2d8222b0, 0x58f3a2c8, 0x9c30133f,
+    0x71be3f1b, 0x8aed6f08, 0x7334f8b4, 0x3bbde553, 0x207f5a1b, 0x53ce2d57, 0x969222d4, 0x0453bf90,
+    0x88e3ea0b, 0x9d68561f, 0xf245e731, 0xc354d020, 0x4e9f6d17, 0x493feffe, 0xb0bac8bd, 0xe215e429,
+    0x00000000 }, /* 10**00000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         14474011154664524427946373126085988481658748083205070504932198000989141204992 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab20, 0x20b9e166,
+    0x00000000,
+    0x98e0fb72, 0x1d3628ab, 0x487e5d20, 0x3fe69da9, 0xf3ad532e, 0x633865e0, 0xf0d66dbb, 0x181fb3bc,
+    0x0fb7911e, 0x34fbc634, 0x5b4a29ef, 0xc78a6668, 0x148fcce7, 0xa00c9b55, 0x9b8d944a, 0x309bfce6,
+    0x6966c80c, 0x2c82cabf, 0x756b49e3, 0x89b76b72, 0x65be7324, 0x15c42503, 0xf7c79f54, 0x220bcc63,
+    0x8d1820fa, 0x4e17e77f, 0xe1fccfd8, 0xce837007, 0xc3b0493b, 0x86a70f1d, 0xd1b6b5fd, 0xeeb90eea,
+    0x7bdcaf41, 0x0f0dc388, 0x4011743d, 0x174f5166, 0x435b842b, 0x65255751, 0x3db9d724, 0xd93dc19d,
+    0x34355622, 0x550c3eda, 0x92b19b46, 0xcbc3edc9, 0xa340e713, 0x393e7768, 0x17c953e8, 0xc312d4b1,
+    0xbdc46826, 0xde6c3fa1, 0x132b9ca8, 0xff6992e3, 0xcf8ff5cd, 0x8a3a61c1, 0xe653dc79, 0x8975f6ad,
+    0xaf37639d, 0x30a00c0f, 0xda2feb92, 0x18bd9978, 0x2142a7b8, 0xc60831fd, 0xaacbc22e, 0x4599dcc0,
+    0x831cb699, 0xbf08acd2, 0x693ed6ab, 0x224accd4, 0x4e04cf54, 0x8155313f, 0xae8d8b80, 0x50981488,
+    0xdcda040a, 0x62ebf7bb, 0x0f3e6d20, 0x4080a368, 0xf0ef76ff, 0x4a032db8, 0xbced17ca, 0x4dc24fb3,
+    0x855e0e3d, 0x3ea6e03c, 0x930288f1, 0x1b64b5ec, 0xca3061a6, 0xdb8f62d3, 0x21105d5a, 0xc94a08d1,
+    0x571b3807, 0x161fef91, 0x5d37ba51, 0x41f0b7f5, 0x9efb4962, 0xd5908fad, 0x2ac3fc49, 0xe75beb00,
+    0x487d1304, 0x06aa1d84, 0x201a0745, 0x992554b0, 0xd4815942, 0x786a4bd3, 0xec2b7999, 0x054189bd,
+    0xd1f36cf0, 0xb815d7b6, 0x3780953f, 0x9e9c97cd, 0xb9ed6dc4, 0xff0b30bc, 0x87514774, 0xcdf5a64a,
+    0x39d1adab, 0xebdb636f, 0xac4de699, 0xfbc4c3e0, 0x0cb4bd92, 0xf489acc3, 0x8a468480, 0x049a71f5,
+    0xebb5d874, 0xc22f9608, 0xb7828d78, 0xee22634e, 0xe1fe8a68, 0xcc1ca351, 0x0f570f38, 0xc7da687a,
+    0xa729c9b5, 0x273fb40d, 0x70b96825, 0xd3e2b076, 0x6a774c2d, 0xcce7114c, 0x409918f2, 0x51801c11,
+    0x590617d1, 0x4167aa6a, 0xd5819444, 0xb12ea0ed, 0xa62a8900, 0x55bbe628, 0xef9d7435, 0x25956bcf,
+    0x23f99d8f, 0xd0011e83, 0x29f4b12b, 0x8022e63d, 0xf7789f4e, 0x8cbcd38e, 0x3c1d41ec, 0x2c704860,
+    0x7aa2cee0, 0xf365d96f, 0x2ab22acf, 0x0df3b380, 0x0b6ac755, 0x27975c90, 0x5de2f43e, 0xfebefb0a,
+    0xf04cdfa2, 0x6cca6832, 0x1fe09ce9, 0x780147c8, 0xe9182d54, 0xb7db439e, 0x35ca696b, 0xed18fb49,
+    0xf60935f6, 0x7d9b2176, 0x20d56310, 0x8677d120, 0xdc1d48f9, 0x22dcd513, 0xb1555774, 0xfb34ca67,
+    0x10afef7e, 0xc05a4023, 0x0ff59f8a, 0x6fa97b0f, 0xa7423500, 0x3cadee32, 0xb9cb5b50, 0x268ba9ea,
+    0x799c2688, 0x621bddb0, 0xee2447e7, 0x91124859, 0xc55285bb, 0x02701622, 0x49015501, 0xe7083967,
+    0xd42a2bb5, 0xd2394671, 0x7a97c832, 0xc4b34e06, 0xe6ccdeb3, 0x95b56b86, 0x107d0f95, 0xfa462b0f,
+    0xf3ecc8ff, 0x172a7bc4, 0x6d6c0458, 0xfabab1f5, 0xf338bc2b, 0xb26e7325, 0xabef7a5e, 0x5dc3ae47,
+    0x130d9046, 0x9131ac42, 0xa3d4ec22, 0x129749be, 0x152914fe, 0x9400c0b8, 0xd6cb207f, 0x0c6570e5,
+    0xde757cf2, 0x306cf668, 0x82bfc55f, 0x31c51ab3, 0x77f61d17, 0x664c70ce, 0x3d727d73, 0xcb709227,
+    0xf3384eb3, 0x9ad7a299, 0x0d22f022, 0x672dece6, 0x56c76afc, 0xc77f9a1c, 0x030a9ebc, 0x13e5fb23,
+    0xb5263682, 0x6bdf0767, 0x010f7a6f, 0x0e3509ff, 0x60da0c74, 0x71776323, 0xa8079054, 0x4f900b8a,
+    0xd1a59406, 0x1bbd323e, 0xb24b5728, 0x0e359c88, 0xa6be598f, 0xbe4ed65c, 0x8e07b24c, 0x3c72feaf,
+    0x2f5cffb1, 0x11b55368, 0xae5cb57a, 0x606b900c, 0xac4331ab, 0xa3f6ac6c, 0x1e0e2566, 0xd5b2d691,
+    0x06f56e64, 0xa21d4983, 0x6b0d45ca, 0xbe691e91, 0xa397aaf3, 0x849a8d50, 0xd4c5a0b9, 0x32ed72fe,
+    0x967d3941, 0xd7f21399, 0xba18a49b, 0xfe5862ee, 0xfc53c3a7, 0x3366e9ef, 0x3f314acb, 0x3da6bde7,
+    0xce16a6cb, 0xf2f73b1a, 0xe101f4e2, 0x55d383e2, 0x916573ce, 0xd68c91f4, 0x07c075f4, 0x76ee4000,
+    0x715a02af, 0x126d886f, 0x211a3ede, 0x52bd6e28, 0x01ef7fcb, 0x89d46014, 0xb6d20eef, 0xdadf1991,
+    0x13257445, 0x471e987a, 0xd43f8f78, 0x41eee986, 0xafb3cede, 0x34628fbd, 0xe66fdc3a, 0xb3c2a7b4,
+    0xafd3287d, 0xc3ce9147, 0x52d60834, 0x1016525d, 0x71ceda10, 0xffe2bbac, 0xb1b353f5, 0x0f5e9bad,
+    0x0be15319, 0x01271547, 0x4caa612b, 0xb7551759, 0x09987e6b, 0xcafc3ad2, 0x98420567, 0x45802c4f,
+    0xbd185804, 0xa7d13625, 0xa7cd0b89, 0xf35e5904, 0xe5c6e6ec, 0x3c87b887, 0xf9bf1df0, 0x91c726ff,
+    0xefb47824, 0xa393aa21, 0x648f848e, 0xce2c27c2, 0x950ba272, 0x590af93f, 0x70a6a6b3, 0xa01bea97,
+    0xbc2f4e96, 0x020814ab, 0x59f698f8, 0xf4e48ccc, 0x95d6b343, 0x2159dd77, 0x44a2c145, 0xf6c87dc6,
+    0x0f9aebd7, 0x055a2447, 0x433aadbb, 0xb9cba3e0, 0x608eb367, 0x5c45516e, 0xee6c2cb3, 0x82ace1fd,
+    0x168666d5, 0xe7fd8084, 0x4f99c31b, 0x14d4331a, 0xe505eefb, 0x8dad71a9, 0x4839ece1, 0x1a969608,
+    0x1a9a0ebb, 0x6d4835a5, 0xb2b35a70, 0xa4e813f7, 0xe80a31f8, 0x392335a4, 0xd5f60a41, 0x2afd535d,
+    0x6eebfb06, 0x2aabaf11, 0xc584d72d, 0xce6c4897, 0xbf38ee99, 0xcd93b1f2, 0x81a4f0d5, 0x41380128,
+    0x155f5a48, 0x37560921, 0x40df238b, 0xc9bfc01d, 0xc58ed6ad, 0xdc84652e, 0xb18c4160, 0xebbfa6a6,
+    0x8cf4eabf, 0x3f1a6726, 0x036b1707, 0xb920f528, 0xb2b63dfb, 0xa5285560, 0x0cd6c7ef, 0xe3abed61,
+    0x258561af, 0xcbbc2065, 0x259f500b, 0x319cec0e, 0x751921e2, 0x2594d5ce, 0xdba6ba2b, 0x5ad91744,
+    0x9af648cd, 0x196bf2ca, 0xa08297df, 0xd967985b, 0xe15b3d86, 0x77499ad8, 0x55a9400d, 0x699ee52c,
+    0x5822f54a, 0x182c8eb9, 0xee03501c, 0xa4ac993b, 0x0f13c90f, 0xa1768136, 0xcb44d872, 0x767e07e3,
+    0xfc14888a, 0xbb6f0edc, 0xedd7c57f, 0xaa93a5e0, 0xe8c1d96a, 0x63aa0b96, 0x80fe4bb2, 0xb8a7f71d,
+    0x004a991c, 0x3be04b22, 0xa5bffc23, 0xd5bb63e1, 0x1e3b168c, 0xdbb55d24, 0x6787a248, 0x2e1a4e62,
+    0xf17a2abf, 0xcf31d1f9, 0x05a372e2, 0xf0fb09f1, 0xa06d5e0f, 0xc5c4f98c, 0xb7252291, 0x0af9471e,
+    0x47d73149, 0xa9cba736, 0xd16e9b74, 0x694eb6be, 0xc74a26f2, 0x7b69c6f7, 0x8d626dbb, 0xa428ca76,
+    0x59ae262b, 0xc6ed9426, 0xba048903, 0x3e113996, 0x22c9777e, 0x11365518, 0x94310b82, 0xcb7fec6b,
+    0x6129fc0e, 0x6df25b76, 0x6d8ea4f1, 0x0668acc6, 0x7593d459, 0xa86f7d5f, 0x367e4fda, 0x540da4b5,
+    0xac0ce425, 0x0cb1e8ad, 0xbe0f0dc0, 0x6d7a64dc, 0xa7248486, 0x06e93f68, 0x7eb4862b, 0xd483bfdb,
+    0xb47b9342, 0x548504ea, 0xfebadb4e, 0x8193ad1a, 0x3618aad6, 0x7a5dcebf, 0xa77a5871, 0x7f05dba0,
+    0x4edd7261, 0x90772c7c, 0xc071d287, 0x8ff8e1bf, 0x2b7696ae, 0xd6a04500, 0x71b7db65, 0x6f2271cc,
+    0xd5d8cafe, 0x2af076e5, 0x08ab6fd8, 0x7c7eb6c3, 0x572a2651, 0x8de39dfd, 0xd18fce63, 0x9f75b1d0,
+    0x5e5d64e6, 0x1553d10c, 0x692f1f67, 0x701eab43, 0x95b0bd9a, 0xc9ab6561, 0x7ed3538a, 0x7957a997,
+    0x82493c19, 0x8621834a, 0x8fbb1a6c, 0x91a19f25, 0x584abf17, 0xf3a608d2, 0x7452e5d1, 0x769fa0a4,
+    0x0add8d07, 0x443f2ad5, 0xd2f9d337, 0x5aac30e2, 0x766e7a89, 0x33035eb7, 0xff0bd16a, 0x6672824d,
+    0xf77682ec, 0xe9320449, 0xce295520, 0xf31b6a7e, 0x4b75885d, 0x6e1a14f2, 0x75e7f363, 0x51e08341,
+    0x6968bf7c, 0x91822a18, 0x830565fc, 0xe4a6f050, 0xad3e90f2, 0x90d46a5c, 0x3fa54c6e, 0x21e8cdc5,
+    0xbf1158e0, 0x25cebffa, 0x79eb4e70, 0x6deb15fb, 0x86877c34, 0x876954ae, 0x0c5490c9, 0xbba7ce9b,
+    0x47f25eaf, 0x7b5584c6, 0xc75dd19d, 0x9302dba7, 0xc3e90de3, 0xbc54f90c, 0xb127a685, 0x577565e4,
+    0xbc52f7cc, 0xe2187f88, 0x7d6bdb3d, 0xc95c1eac, 0x1437c8f9, 0x9c8700a8, 0xd5f8d11c, 0x5039d300,
+    0x433fd44a, 0x00230f35, 0x4a50d916, 0xd0170f4b, 0x2867ce99, 0x619acc05, 0x7fd42883, 0x16d81ce5,
+    0xf7bb6503, 0x0e468a68, 0x76dc1e2d, 0x33b895e8, 0x520de05a, 0x1506fa50, 0xdebc8c51, 0x282bd9b1,
+    0x319beeec, 0xcf619c6e, 0x0b831467, 0x53e96839, 0x6afc7c1f, 0xc8582c0a, 0x0ebe0592, 0xaee30095,
+    0xc7718338, 0xf56b79c8, 0x24fc52a9, 0x399e991b, 0x23a5f8a5, 0x99a46388, 0x4c423dcb, 0x86a3c2be,
+    0x3cdbcafb, 0x895a622c, 0xb4ebc54a, 0x7a2121e5, 0x2a448298, 0x191c4e87, 0xa1ad1f0f, 0x26aeaa37,
+    0x292ce9d5, 0xb6e9d6b9, 0xf27a1021, 0x03e2a312, 0x704b77dc, 0x47cfb305, 0x0036769b, 0x292a01d7,
+    0xe0173ff1, 0x98b6a29b, 0x957218c0, 0xf0e31587, 0xd836ff25, 0x4be6ca42, 0xa3521ee0, 0x9f7b852e,
+    0x224d7214, 0xba4130da, 0xde623f67, 0x22548bf8, 0x12cd60f5, 0x8b35c7c0, 0x1efafba3, 0x4978d2a8,
+    0xd7b3322c, 0xb59e0e50, 0x5ff264c5, 0xc86a30be, 0xcb99b5a5, 0x62b047b6, 0xa0b82d8e, 0xa0f242d5,
+    0x7168b9aa, 0x0681fb38, 0x49d82446, 0x8a5f09fe, 0x8f9181ee, 0x75d7dc37, 0x497d60ee, 0xfa247816,
+    0xbdf68f2a, 0x2e23fb54, 0xb7a8422a, 0x4be33b70, 0x944883fe, 0x12dce2d8, 0xe2cbb19f, 0x2b58600b,
+    0x4cef3f90, 0x26179431, 0xbda1a4fd, 0x5ff9ea3d, 0x22dc22e1, 0xa5cefb19, 0xccdf9ff9, 0xe8dc5d64,
+    0x6c07ee43, 0x5425c210, 0xeaf2160a, 0x382c54a3, 0xad783416, 0xc0a1460c, 0x4c96399c, 0xc5866377,
+    0xdcfd8631, 0x721cf3ad, 0xb9ad1a5a, 0xd8d2954e, 0x5f25b61d, 0x2ab66ed5, 0xea0c96cb, 0xd8b91ccd,
+    0xcc165218, 0x0b24e54f, 0x89297a4f, 0x5972565b, 0xc82aa41c, 0xa42fd3ad, 0xa73bbf93, 0x6adc8190,
+    0x95acef2e, 0xfa89c83b, 0x9b91bcbb, 0xa14d9ced, 0xf2242187, 0xceb75a03, 0xa08f36e1, 0x764d4b5d,
+    0x8fbf8f02, 0xcdde911d, 0x1bc81143, 0x85580e7c, 0xdff979bb, 0xf3dbf69a, 0x04c8fb77, 0x02d03267,
+    0xa52e7fad, 0x94183763, 0xa53edd4d, 0xe4418c64, 0x746591fd, 0x0c4def86, 0x03d21ac4, 0xef0931ee,
+    0x4098ecc9, 0x2ee72888, 0x62e14f75, 0x5aa55b30, 0x3e4b2ca4, 0x1640bafe, 0x61f68dcd, 0xd45437ed,
+    0xe7f8872a, 0xc0232431, 0x54ba2ca4, 0x60dbb9a8, 0xbe780c48, 0x41cc61eb, 0x7537b309, 0xec0df5f5,
+    0x71375cf1, 0x67b953b1, 0xdfcc7598, 0xa75628c0, 0x633b2098, 0xcc853264, 0x268bfdfb, 0xa1aa497f,
+    0x9a704adc, 0x3d0f303f, 0xec8e0420, 0x97bdb2ea, 0x4a0df6d7, 0xb9606dde, 0x54f6fceb, 0xc3191072,
+    0x2cb45f74, 0xe2e05a03, 0xc11f9f9a, 0x0bdc45c7, 0xadf0cc48, 0xdeaf9373, 0x3562513c, 0x7e7ed619,
+    0x32b6c84e, 0x14192476, 0x6892cc82, 0x41703660, 0x6fc28575, 0xf885f5e3, 0xb60c9195, 0x45b7deca,
+    0xda0f454c, 0x056d843e, 0xb97fd864, 0xd4c1d774, 0x519509e5, 0x1a581cb1, 0x58bded69, 0x6fd42394,
+    0xa052cc0f, 0x5f29434e, 0x7ad9bc81, 0xd065f7ba, 0x9808326b, 0x8165f2b9, 0x1bd2521c, 0x7174ffb4,
+    0x4f851fe4, 0x7269b360, 0xa385fb02, 0x6b754d1f, 0xc3b568d0, 0xd667f20e, 0xaeb801fc, 0xcb9c41b4,
+    0x308697eb, 0xcd2dbe89, 0x05dbe6d6, 0x9308e80b, 0x57c1a860, 0x5ce7ef66, 0x25650313, 0x73060ece,
+    0xf2e04ed3, 0x194556eb, 0xc6c5555e, 0xff7497ea, 0x5e1e4fe2, 0xe18237e0, 0x31a23d77, 0xa09bef7d,
+    0x0afb8e8e, 0x184b3e57, 0xc0c10d73, 0x4d6ff5e6, 0x8e2a8a1a, 0x5c458148, 0xff3ebc87, 0x7df0ed93,
+    0xd47fa5f0, 0x280987c6, 0x22265d16, 0x2dfc8aa5, 0x2f9d123e, 0x49acada0, 0x00b0d37f, 0xc7e0b4f4,
+    0xa57f6c6b, 0x3113bac4, 0x59b3693e, 0x041dece7, 0xd6e0acc1, 0xff795de2, 0x6a02947e, 0xb2bf460f,
+    0xf7be23f4, 0x3290b337, 0x0cf9f46e, 0x2e63aeb6, 0xdf33e78b, 0x44f1c1a4, 0x00ba5381, 0xe6be28eb,
+    0xd5ada6d1, 0x1d568fe5, 0x9dfcd591, 0xd412c0cb, 0x566a363f, 0x4410df36, 0x5b8e6100, 0x79fa86d2,
+    0x6a283bfe, 0x41d74a79, 0xbcb06e37, 0x7a8931ee, 0x3c121c12, 0xc659a6eb, 0xdf8eb00f, 0x954eb3aa,
+    0xc297baaa, 0x31280430, 0x0a08483a, 0xdca97da4, 0x90c772c2, 0x5a047bd0, 0x7561cd20, 0x1b5e1035,
+    0x6a51699e, 0x40017a91, 0x32f8ba46, 0xbab2bca5, 0x77088507, 0x5b85e838, 0xd05ffba4, 0x99a07def,
+    0xacd469bd, 0xb33b6bff, 0xde963ca0, 0x0e9d0542, 0xb6aff934, 0x5dbe9dbb, 0xc565a1f3, 0x0e0e9a70,
+    0xa4ddfefd, 0x6e626fc1, 0x1b36a8e0, 0x23d0b6ce, 0xc8348e78, 0xb0bcea69, 0xaee8cdf9, 0x3357910c,
+    0xeba7aa1b, 0x4f3085f8, 0xbd235b18, 0x95593148, 0xfeb57ed4, 0xed93bf82, 0x5e6ef1a8, 0xb930ac1e,
+    0xa74b2611, 0xa14581ed, 0xf948e773, 0x35a36f9d, 0xd0d4bcbc, 0x869310a4, 0x6a112385, 0x7104f1f8,
+    0xfae0a804, 0xf10582e2, 0x159592d8, 0x65af7a28, 0x8eb08827, 0x00b5c3a5, 0x17a4d4be, 0x0fff4a80,
+    0xba5b1951, 0xf8928caf, 0xbc46667b, 0x83be9a52, 0x1714c958, 0x728b771a, 0xdb36c2db, 0x24bed5d6,
+    0x6e67badc, 0xc314c424, 0x93a729bf, 0x1efb55a5, 0x9634ed4f, 0x006cd9a8, 0xb21e8385, 0x42ece7ab,
+    0x28bfd58b, 0x05aedc10, 0x301ce233, 0x03b70d0b, 0x00c1f6ad, 0x6cbcb13f, 0x7b2bf397, 0x89c635ef,
+    0x9362659a, 0x2b08c891, 0xfc76c708, 0xc85a284f, 0x6f91e592, 0x83f46e54, 0x4f16f5e9, 0xd116f34e,
+    0x75071da8, 0xf0b924cc, 0x9a99546e, 0x505b328f, 0x3eeca7cf, 0xe23618a1, 0x977b9dfe, 0x2141efd5,
+    0x229ca18b, 0x6b6a7f92, 0x3c3bdbfe, 0x4fcd1dec, 0xc6776084, 0x22c7cb48, 0xdf22b34e, 0xaf36c598,
+    0x1749fb94, 0x852b48db, 0x126cd04a, 0x35d671ca, 0xb12fcb72, 0x38ce28a5, 0x5519afe9, 0xce55639a,
+    0xa65c924b, 0x6f1a3edb, 0x02bc9c2f, 0xe2eb3ed3, 0xb65542c7, 0xbc7ce34c, 0xa840b3cc, 0x864630c5,
+    0xf9c0b841, 0xeca79fb4, 0xbb21ef24, 0x28148340, 0xf24348b7, 0x4a642e6f, 0xeccd67a6, 0xb10da297,
+    0xc78d663a, 0xcb3050c7, 0x4920d009, 0x4d09e9e1, 0xb8ed8fae, 0x349d9eda, 0xac358113, 0x950284c0,
+    0x72ae69f9, 0x1bdc5a03, 0xae9ac2f3, 0x05097218, 0xa624bc53, 0xfb836c15, 0xd27d7a96, 0x1bd73f41,
+    0xed58adef, 0x67449935, 0x104eb75d, 0x6787f6c4, 0x974e5897, 0x30b6c932, 0x3ad374d9, 0x39199b24,
+    0xb359bb08, 0x1ef44fa0, 0xdc8a83e5, 0xa1c72e5e, 0x1f6a4c6d, 0xd60e828d, 0xb6870def, 0x27585930,
+    0xad457ee2, 0x23e95571, 0xfc5f870f, 0x9146a61d, 0xf62099bd, 0xb7b6a9b2, 0x6c39005e, 0xdd7cab8a,
+    0x6c2ffec4, 0x030b2216, 0x40e977f1, 0x8a02f1ad, 0x129d9cb6, 0x1f3b6aa8, 0x7a15f868, 0x1e077cbe,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         7237005577332262213973186563042994240829374041602535252466099000494570602496 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d590, 0x105cf0b2,
+    0x00000000,
+    0xc5d4a826, 0x745a4930, 0x9c17a02d, 0x7d3d152d, 0x06b26f69, 0xa0b3bfe5, 0x4252f722, 0x1dd19fee,
+    0x0c25a29e, 0xe3f47bf4, 0x5690f34e, 0xf120e632, 0x8eb19e22, 0xc074bd6e, 0x1f733d20, 0x610fc704,
+    0xdc4e788d, 0xb41b26c6, 0x43dfe617, 0xcd89e5b8, 0x3fef52fa, 0xa0b835b1, 0xe879a7e7, 0xe2fd38f4,
+    0x6a67d618, 0x137c5595, 0xdfa732ae, 0x3bb82856, 0x41679f91, 0xf9508e33, 0xe0024f8a, 0x39ba1958,
+    0x69dbbd79, 0x48df0d84, 0x62db33fb, 0xa94659c4, 0x4c160c34, 0x565d2321, 0x59bdb749, 0xf9307b57,
+    0x847aede3, 0xd5467193, 0xb1fbe2e7, 0x387ed765, 0x81ed9196, 0x009da652, 0x90e83f42, 0xa0eb5aa0,
+    0xd9fbeb6d, 0xf7c1a786, 0xdad5b6f3, 0xeb8abfa1, 0x7d42e338, 0x5b0af594, 0x3551a25f, 0x36e9f9cf,
+    0xb0e018bc, 0x1ec2193d, 0x432208b2, 0x14121a82, 0x31b202c5, 0xea621bb9, 0x84414218, 0x3f4e9613,
+    0xed118d9f, 0x6352735e, 0x43adcd13, 0x68de30c3, 0x5b6c3a4f, 0x1dfc9207, 0xb1be4b60, 0xb418178b,
+    0x68e01f4a, 0x6585353f, 0x1e1ad71b, 0xad56ffe5, 0x3344d6fa, 0x7cb5e9cb, 0xb5a1762e, 0x264239c1,
+    0x6360e437, 0xcc1f799a, 0x25040e15, 0xce6c56f5, 0xd872656d, 0xe4b5891a, 0x95a599a9, 0xae1c80ed,
+    0x430a14eb, 0xd017432f, 0x582ac0ab, 0x6435a33c, 0x2c7f6c5b, 0x0e3b9643, 0x7ebac2de, 0x9243045b,
+    0x68ca2fcf, 0xa95b5dc5, 0x6d95186f, 0xd2a2f70f, 0xb39b2e64, 0x1d00a210, 0x81a2e6e6, 0xcee593f7,
+    0x3ec70a2a, 0xa8a460a7, 0x040a1a23, 0x619b5e0e, 0x66bbecd2, 0x2cd1c47d, 0x5cbf4f07, 0xb906a200,
+    0xce4b0b12, 0x5612d1a4, 0x27670a96, 0xcc98ad0c, 0x4b4df17e, 0x15172bd0, 0x29ef1dc4, 0x778fbf19,
+    0xb0ea9d57, 0x182b5ef3, 0x0d0a522e, 0x1c5897ba, 0x097a0fd7, 0xe7699ab7, 0xc8853ed9, 0x57061618,
+    0x9f32d889, 0x97ff2b67, 0x43f09544, 0x78a178ea, 0x469a325a, 0xcaf5fb85, 0xc6f29ad9, 0x75d7af9a,
+    0x3197b97e, 0x10744c0e, 0x475974bb, 0x6666d204, 0x1a439039, 0xe2a37c61, 0x46b94547, 0xddf6ab19,
+    0x64127a57, 0x418001a6, 0x5727e741, 0x492cdf79, 0x8468e641, 0x7490e9c0, 0x4be1d392, 0xcd1ccce3,
+    0x3e7b2b28, 0x6e8b9500, 0x353a1812, 0x4ecc2304, 0x3cfcb5d1, 0xb07183ac, 0x5480b8e7, 0x6e78c14a,
+    0xdb15559a, 0x47a90a78, 0xbc2102ad, 0xb27787b1, 0xee0d3cbf, 0xab35dd30, 0x08cbcd1a, 0x18a99752,
+    0x6f01ed08, 0x7a076052, 0xe087468c, 0x5c4fab2c, 0xe03539da, 0x5b3e5d8e, 0x916f2258, 0xe2b9e227,
+    0xbc907c42, 0x3bbcb655, 0x9766aaa4, 0x455c2deb, 0x9b81104f, 0xd03bbdb5, 0xdaa7d3de, 0x4784ad34,
+    0x702c3d53, 0xd21229a9, 0xbcbd8760, 0x64186567, 0x4405c4d0, 0x13b3ddd0, 0x2153e641, 0x13eb141d,
+    0xb397ebef, 0x5384a2ba, 0x57e2e6c5, 0xb14af885, 0x16a7fc69, 0x03a71b44, 0xe7f6971a, 0x318373f8,
+    0x36e5f942, 0x3944b7c4, 0x02701ee2, 0xc57d3013, 0x5fc2862f, 0x3b3cba96, 0xc3b71d7b, 0x6b78f8c0,
+    0xa4c176d4, 0x097d6453, 0x8811ab87, 0xade09a0f, 0xa8112efb, 0x3cf9639f, 0xef7b31ee, 0x2d85b42e,
+    0x7b212a13, 0xec9b6aec, 0x72ee3f44, 0x2cfd63b3, 0x97b4ca4b, 0x9a797c37, 0x99f53534, 0x844be368,
+    0xdaae8d33, 0xb9d28a05, 0x324989ae, 0x860b63ef, 0xd127505b, 0x51c1f567, 0x2ba4ab2a, 0x2bab9a10,
+    0xe5f0c5b5, 0x66fb13cd, 0x0ead19d4, 0x55d13e79, 0x55d91651, 0x5ac1a244, 0x45f3e8aa, 0x71917407,
+    0x519b7982, 0xf3be16e9, 0x3ee03b85, 0x1524a812, 0xdcbb5384, 0x89a8c0e2, 0x44db712e, 0xceaf75ec,
+    0x52f9efbe, 0x753b21e8, 0x86481ffe, 0xb403d101, 0x3ec9c231, 0x2843aa9c, 0xfb993045, 0x53787bd7,
+    0xc9eeb9ac, 0x4ff996dd, 0x5bd08ed2, 0x2442f136, 0xdf313254, 0x85aada41, 0xe4bf5bb0, 0x8dbfb86a,
+    0xd4780d97, 0x2f23b6fc, 0x7545711d, 0x8b7ffb34, 0xbff5db89, 0x392c51d0, 0xf2ddc40c, 0x5fac9bb9,
+    0x52b02100, 0x83f5644a, 0x7eca97a3, 0xc1494aeb, 0xfa5db4d6, 0xe0ef42f5, 0xf1998885, 0x060372ab,
+    0x83fcaf84, 0x77daca01, 0xc7457edf, 0xa741c7c0, 0xe623b28c, 0x445298e8, 0x6401ec92, 0xfa4eeb26,
+    0x182a43bf, 0x3a54148c, 0xa82a423c, 0xe9a171e1, 0x42620723, 0xd0c1d74a, 0xa1679c81, 0xdf654acf,
+    0x91173134, 0x3d4815ff, 0x47a97cbd, 0xbb486e23, 0xd66d0d24, 0x19035660, 0x73a58ae6, 0x4136acd4,
+    0xfc5a0b78, 0x4c99d552, 0xccf44387, 0x0721bfa2, 0x15eb2c50, 0x937d81a2, 0x0c04e1e3, 0x60804a1e,
+    0x5ba262e4, 0x572d1a87, 0x93a5eccb, 0x4a4e774a, 0x928052b2, 0xbef180a5, 0x9432ee69, 0xc457428e,
+    0xb7ed5148, 0x658519a3, 0xc51a723b, 0x52e5b8bb, 0x3216e9f6, 0xa0a95173, 0x8b84a653, 0x8a15be96,
+    0x90366609, 0x536a13c5, 0xda5ddcd9, 0x53364b77, 0x6446ff33, 0x61d2b2f5, 0x834d5b47, 0xfcc57198,
+    0xe54d7fb0, 0xe7edf8dd, 0x6e9cb44e, 0xe5fb1497, 0x3866fd38, 0x8d0177be, 0x4cfa58be, 0xb5e896fb,
+    0x7329723e, 0x6b0c2a62, 0x064993db, 0xe0790d5d, 0xaf348505, 0xd3de37fb, 0xc238b433, 0x730ee1d6,
+    0x418e53ad, 0xaa4f034b, 0x0595d1e2, 0x9938fa99, 0xc4dbe1e6, 0xcf4787dc, 0xe01b201a, 0x3cbe7122,
+    0xb97e733a, 0x8fdf98de, 0x4a5a763c, 0xc72c5e10, 0x1d71eba0, 0xcd331332, 0xb02eaa6b, 0x7c0d7f5f,
+    0xab466c9f, 0x5df6aadb, 0xc695e952, 0x0489a250, 0x8c2db8fb, 0x55c07788, 0x4af03697, 0x7392a560,
+    0x61bfcc72, 0x7edfbd00, 0xf831aed9, 0xc70333cd, 0xc7b82327, 0x1f02aa83, 0xad03dad9, 0x32b9b410,
+    0x5da14eed, 0x0306b006, 0x947ffc50, 0x67ecab6f, 0xdcb92e5c, 0x39c79400, 0xc84b16f4, 0x55ebaaea,
+    0x219ad513, 0xb625ba70, 0xf1e66fc0, 0xfdc59e55, 0x1e7ef889, 0x48a2213f, 0x4ec1205d, 0x47054c7a,
+    0x65645e1b, 0x55b4572b, 0x1e5a8a4d, 0xcc550a97, 0xa1e6fd62, 0x2c01f288, 0x8c8c061f, 0x571d2a63,
+    0xd2f2c366, 0x0de96a2d, 0x601af0da, 0x90e1a871, 0xeab5a59f, 0x1ee9eaf6, 0x3db70ca3, 0xfcde5bf3,
+    0x061ed90f, 0x0956430a, 0x5d96794a, 0x74acd91e, 0x303a6d5c, 0x54b18d3f, 0x10558a02, 0xe86c2039,
+    0x950dbcaf, 0xa9fad00d, 0x49800472, 0xf0660584, 0x66a96b72, 0x4c9d805a, 0xc758af1d, 0xbec1f00b,
+    0xf815addb, 0x18de60d5, 0x24da933e, 0xe1eb84a8, 0x92489ade, 0x793c22cd, 0xc29c11d2, 0x09c82b3a,
+    0x2ee4a73a, 0x64b84520, 0x75b34bf6, 0x8eef1756, 0x463e637c, 0xcebc5056, 0xe8958367, 0xc6292515,
+    0x820627cc, 0x76e9bf83, 0x72d3e526, 0x98a5f84f, 0x3574539b, 0xadd69d05, 0xa39b3d3c, 0x3da65473,
+    0x7da1fbfd, 0x2adfd7c0, 0xc6396630, 0x1831af20, 0x5bdbc2b9, 0x1676dd55, 0xbe11c779, 0xa17efb40,
+    0x30aa84e0, 0x4f497412, 0xf2c78080, 0x4c62d5c5, 0x148a87a3, 0xed87e44f, 0x590b32ae, 0xb3a8431c,
+    0xe3a88420, 0x49cfe484, 0x4e7d5dec, 0x1b71ab0f, 0x93e2300d, 0x102d11ff, 0xbdb9a314, 0xcc656446,
+    0x1566c4ed, 0xba494efc, 0x56b2d18a, 0x5f677b8e, 0xf6a3b3cd, 0x1c706fdc, 0x3d664fc1, 0x26c694b9,
+    0x9596baf2, 0x119471fc, 0x2cedb2fb, 0xf150a1b0, 0x84f13849, 0xb8b7bda1, 0x670016a2, 0x58ef8d3d,
+    0xb92dad93, 0x0479fbd3, 0xc6fa8d84, 0x9628a4c5, 0xaf019b5d, 0x33dfaf99, 0x519a849d, 0xa07271bf,
+    0xe8091f0f, 0x3c32b959, 0x608cbd28, 0xcfa44094, 0x7cdd5b7b, 0xfcb47c92, 0x37ca9fdc, 0xad8e31eb,
+    0x2725d10b, 0x39c4fd11, 0x7c569212, 0x7cfeabac, 0xaf4f9bcb, 0xc32e4d15, 0x00b0ebc8, 0xf9f427c7,
+    0xfcd65299, 0x4c2cacc3, 0x9d9613be, 0x668584ba, 0x52ec582f, 0xa144ef42, 0xe36a5fea, 0x29c4f85d,
+    0x708c176b, 0x472263ca, 0x61cf3172, 0x2d00dd60, 0x51f599fc, 0x2df2dbc7, 0x66a12462, 0x1522d481,
+    0xb9222747, 0x4b4da17f, 0x1b5fa1e5, 0xd69e8b76, 0x3ccf4ef4, 0xc39cf3b9, 0x5ed42b86, 0x083792ea,
+    0x4218ec85, 0x2c0a8ae1, 0x508ee1da, 0x763455a2, 0xe01119ac, 0x793f3843, 0x697394b4, 0x0f626d39,
+    0xe5c2bea9, 0x98fad83e, 0x1a0f7a27, 0xaf4291ae, 0xdfaa50b2, 0x73436bf1, 0x4440b653, 0xc78ab6a4,
+    0x39adaead, 0x12fa62a1, 0x963b153a, 0xddef21e1, 0x6b56fe53, 0x423661ba, 0x58cd73c9, 0xa824a40f,
+    0xc50d6491, 0x10f7299d, 0x55afc161, 0xa4dbf4d4, 0x242dbd35, 0xfe921e58, 0xd6348a25, 0xcd7a48b0,
+    0x0d105d08, 0x5ed61172, 0xf0ca3f45, 0xb9c5f631, 0x33283abc, 0x950b4c88, 0x07990cb4, 0xfe724f80,
+    0x5a7e98f1, 0xba22f14f, 0x92f8891b, 0x1913a120, 0x2bee437b, 0x9c40d933, 0xac75866f, 0x9807e21d,
+    0x55d8b45e, 0x730dac73, 0x30f489e8, 0xcdcda65f, 0x6c3b3184, 0xf30753f3, 0x8e27e20c, 0xc2b59f76,
+    0x19ba4a4a, 0xa929777a, 0xa1067ec1, 0x38ee8f95, 0x54583086, 0xffcf77f9, 0x4436b53e, 0x4cceb7fa,
+    0x8e98fe13, 0x8c456e73, 0x20ee0b33, 0xe334ac89, 0x793b0529, 0xf1086d6c, 0x417350b1, 0xc6527efb,
+    0x67f844dd, 0x28963ead, 0x0c64a541, 0xd3dee219, 0xf45ee163, 0x2fe928b0, 0x79796644, 0xd26c410b,
+    0x9554c54c, 0x288659b3, 0xe86dbe3a, 0x7162d659, 0xe80c2784, 0xd828d9e3, 0x06785584, 0x263d57df,
+    0x848bbfc6, 0xda7c8a99, 0xa2d09120, 0x9c982ef3, 0xe4d40de0, 0xf6c36011, 0x254440e1, 0xf633d013,
+    0x0188f4f3, 0xe9e260d1, 0x8f60e132, 0xeb53710e, 0x286e5e7f, 0xaf2a0001, 0xf36d9e3d, 0xbad3697b,
+    0xaebf4bf6, 0x21b6b051, 0x700dcd28, 0xdbfb61ed, 0x5ab69473, 0xa2d62be9, 0x04ce1a80, 0xa21e3f55,
+    0xd1b0f924, 0x8c961935, 0xa9811176, 0x2ff45ccf, 0xe66af43e, 0x4cbb21a7, 0xd546371a, 0x8159a983,
+    0xf2fc65d0, 0xfc9c9604, 0x312b57fe, 0xa248a880, 0x982e70ed, 0x1db5eb8b, 0x64938f29, 0x7bbda6a0,
+    0xf6ccbcc8, 0x7a6bc871, 0xe2826b0a, 0x8c94860b, 0x111b57e0, 0x7067b79d, 0x175a11aa, 0x37fd17e5,
+    0xec376b2c, 0xda7de1d6, 0xcab8b5b0, 0x7dccdad6, 0xf4bbba86, 0x11de7942, 0xa12344cd, 0x216f011e,
+    0x3af363f1, 0xbcac106a, 0x081fd2e6, 0x94cb2892, 0x6203a4fa, 0x9405aefe, 0xb336b183, 0x53e621d8,
+    0xe86aab7e, 0x2286b217, 0x1fb41a67, 0x220b9da0, 0xa11a9928, 0x82a6a5bc, 0x651762d1, 0x4a2febdc,
+    0x87a4524b, 0x33f4b709, 0x00730d94, 0x07da784e, 0x70f1f30c, 0x51afebfe, 0x5fd60a15, 0x3960fa01,
+    0x45195f8b, 0xc5841257, 0xd1f10874, 0xd58940ee, 0x25beb92e, 0x264243c9, 0xc7f83903, 0xb32f029b,
+    0xb4915df4, 0x7d4535ab, 0x256ce55d, 0x5233b8fb, 0x7dd145a3, 0x0b1229fd, 0xc8fa2310, 0x6b50f60c,
+    0xfa0609d8, 0x0cece4c7, 0x0697c228, 0x66e57ec6, 0x7327de57, 0x698b008a, 0xfa1e5f74, 0xd56f7ad4,
+    0x33c39d75, 0x9386b6c5, 0xe2f23e4b, 0xb457b81a, 0x36d47668, 0x3bbc1ae5, 0xcfd1719d, 0xda8bb7f3,
+    0xf98e4574, 0xf8292bbc, 0x6073ceea, 0x3180d4a0, 0x96dbe4b6, 0x19c264e9, 0xf43a2e82, 0xe97d12f6,
+    0x42505794, 0xbf6f29df, 0x0282e673, 0x723da80d, 0x8f5ea30c, 0x040f5ecc, 0x9b89a844, 0x9baf4d1f,
+    0x6ef15740, 0x56f19faf, 0x0c3531a2, 0x37f21f03, 0xd4e16a59, 0xa8523f4b, 0x38ec019d, 0x978f8e51,
+    0x57a1b690, 0x9980cd86, 0x3d79fba5, 0x63f23df1, 0xbd176c92, 0x0f3e68ea, 0xee09a4ca, 0xc1e84751,
+    0x25c52e96, 0xb7fd80ee, 0x3eef2edb, 0x8752b7b8, 0x57ab4e13, 0x34da0495, 0xc3b6349a, 0xd9c52842,
+    0x7306445a, 0x23b2e417, 0x4db2b8db, 0x21936cdb, 0x16898692, 0xda38b833, 0x46780a74, 0x2efae33c,
+    0x190997dc, 0xd5685c8f, 0xa49af6df, 0x9bc9db2a, 0xa2546035, 0x3f40694d, 0x98ccfaac, 0xe13a7ddf,
+    0x1ec15b04, 0x0eeabe07, 0x08448377, 0xb98a4d6d, 0x8477007f, 0x3119c59a, 0xdef38ec0, 0xc220ad0f,
+    0xb9a624a5, 0xec3112d5, 0xfea3fcb6, 0xa7566f05, 0x9402ff14, 0x8226af0d, 0x6c03e232, 0xb0c2294a,
+    0x7d2d6e70, 0xccc9f836, 0xd0d0e756, 0x79490c4e, 0x8fbf5230, 0x16285178, 0xb56bcc30, 0x3b97ec59,
+    0x6b6deb01, 0x659065a6, 0xdc8d08f8, 0x270dfaeb, 0xd15a6409, 0xf3569694, 0xd75821b3, 0x96a613c0,
+    0xf46d9f86, 0xb91d8fbe, 0x64adfddd, 0x46346e56, 0xbf653600, 0xc802eae9, 0x2977147c, 0xd080e6f5,
+    0x75df21f2, 0xb33a46fa, 0xf3de5dad, 0x80b2c598, 0x2ad5a083, 0xb4eedbd4, 0x4642d212, 0xec28526c,
+    0x6c183d63, 0x1ea9a319, 0xe3c3bcc8, 0x2f8e6666, 0xa657a296, 0xba36f6d1, 0x88e3646d, 0x0a4fc93a,
+    0x543d52ba, 0xb86a8d21, 0x7c737713, 0xccffbf4c, 0xacaad681, 0xc42f494d, 0xc2896590, 0xe51fdbbb,
+    0xa38204d7, 0xea4e6869, 0xb563fa7e, 0x0dc911c6, 0x533f3a4c, 0x5c6dc2b0, 0x1fb883f5, 0x77787f67,
+    0x4ae3a8eb, 0xbd821c40, 0xa8d65654, 0xe8cb6f2c, 0x06f92f56, 0x75af7190, 0xd71e8e40, 0x2b066b03,
+    0x2b6d25a2, 0x6511bc97, 0x56d43cd3, 0x4b49b0af, 0x255a7945, 0xa9402cb9, 0xc65c26b2, 0x52aece31,
+    0xd435fab1, 0x757ed188, 0x237cc731, 0x7f118839, 0xb8fb76e4, 0x240f0e6e, 0x8e7664e3, 0xdb197f3c,
+    0x2ab11ca1, 0x33d51c3e, 0xc4f91573, 0xdd50045d, 0xd811d76d, 0x8b085ff1, 0x14b1cd77, 0x8517eb95,
+    0x38f6fa3a, 0x41e21568, 0x5ec2e3ab, 0xc7cf6743, 0x12fe87dd, 0x602a00f3, 0x0c6a235b, 0x8e495585,
+    0x1c9e9fbd, 0x7dccef75, 0x53cf3c1d, 0x6e8b3a66, 0x4f44afe8, 0x04181f1c, 0x1d392832, 0xc4d5c963,
+    0x9b979490, 0x58bb1804, 0xa71cc271, 0x3f14314c, 0x74cd866a, 0xe3474861, 0x00e21f16, 0x6717ba27,
+    0x1b013100, 0x35bfc1c6, 0x52454be7, 0xe4c4c579, 0x3f303811, 0x77286f61, 0x00894098, 0x67c71884,
+    0x3531352c, 0xb38ea6b8, 0x83445e21, 0x83c0e12c, 0xbc832d9e, 0x6465c585, 0x6930e587, 0xd4e750ed,
+    0xc82c0b79, 0x676669ee, 0x10d3ea91, 0x105f3452, 0x607c7163, 0xb4078f33, 0xbb4dbe63, 0x0a95a824,
+    0x92c22e41, 0xd54e2a49, 0x6e63b2ae, 0x899f91bc, 0x167d7412, 0xf363ca06, 0x867dac33, 0x58b10fff,
+    0x8cb95330, 0x1cf04410, 0x3ee36010, 0x9a62b82f, 0xd44aa5cd, 0xd1e8318f, 0xa375c115, 0x5a93fe63,
+    0xb76a584b, 0x688d9a56, 0xf276736a, 0xe1a5b179, 0xb3fa5568, 0xd92265b4, 0xd08a8760, 0xe94aa343,
+    0xcf857815, 0x3a2c2134, 0x00115f08, 0xc0c64bb3, 0xad57e35c, 0xd32ce6f5, 0xa930d445, 0x8b761d71,
+    0x89b9d144, 0xecfbed69, 0xaee5315b, 0xcdc8e14f, 0x4f141f4c, 0x87d23637, 0x162505ab, 0x441f2fe5,
+    0x64abe267, 0x4d1878a6, 0x23c70ce5, 0x052feed1, 0x78441f71, 0x34b367cc, 0xf8cc7a8d, 0xa5685547,
+    0x2b6509b8, 0xfe6edc62, 0x74c3358d, 0x037d2cd1, 0x641baf28, 0x090169b2, 0xd5b60f14, 0x291596a9,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         3618502788666131106986593281521497120414687020801267626233049500247285301248 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac8, 0x082e7858,
+    0x00000000,
+    0xe10b2e74, 0xddcc3dc4, 0xeb5b3d45, 0x340b764a, 0xf0068b08, 0x9222e3a5, 0xcc69033f, 0xfb83f3df,
+    0x2b031a2f, 0xd5329ede, 0xf3dc33a0, 0xc043189d, 0xa12648e7, 0x2ed4296c, 0x5c7d424b, 0x19f1959b,
+    0xd1311fe5, 0xebab622a, 0x02793124, 0xa8ae0d17, 0xab2cbec5, 0x0c7eae5b, 0xd7c01b45, 0xbaadba9c,
+    0x66b6754c, 0x4da2dd81, 0x528845b6, 0x212bc054, 0x5577b052, 0xcfcde72f, 0xa14a91fb, 0xf3e79841,
+    0x4421d463, 0xec81c4e5, 0x60ac534b, 0xb2ea5fcb, 0x6fa94c4b, 0x5abdf481, 0x8e2c46e3, 0x55105b02,
+    0x11a07799, 0x181e5b7e, 0x6607adcd, 0x0bdcb392, 0x00ca41b3, 0xf684d154, 0xd80bb453, 0x7ff73176,
+    0xc3f5d1a9, 0xb6d5db3a, 0x29425010, 0x423e8b62, 0xaa3a3e41, 0x29ba22aa, 0xa594c2e1, 0x91b40017,
+    0x21419b53, 0xb1b1bffb, 0xa422c427, 0xcc874678, 0xd474ef0b, 0x156f1af6, 0x9fd2c98c, 0xa9421720,
+    0x27f19664, 0x9bb697b5, 0xb0e37302, 0x612ece8d, 0xd8878a85, 0x50d2c44b, 0x32e0d5e5, 0xb82d200d,
+    0x08ea5f4d, 0x78b8cfac, 0xcb549d50, 0x74a50b82, 0x2bfcc64b, 0x452beaeb, 0xa4a7a4df, 0xec34bad3,
+    0x49feabd1, 0x90f80594, 0x7f432191, 0xa4d5f8c1, 0x94ee9bb4, 0x330719c7, 0x9bd78414, 0xbd8071ff,
+    0x816eca43, 0xb01604ef, 0x243189f3, 0x561e7a47, 0x7d56e1c8, 0xb331c371, 0xe366350c, 0x69eaeac8,
+    0xe10ce296, 0x40394fab, 0x4ac25775, 0x37d65a12, 0x0b3c0856, 0x1c566a16, 0xd3b1af90, 0xe899d202,
+    0x7326c221, 0x2de68c2f, 0xa8b25d60, 0x0f936582, 0xcae459ca, 0xa0b2ee62, 0x9abea501, 0x5f16d294,
+    0x24ee6b21, 0x9fc11362, 0xd674d050, 0x68b8f165, 0xecab38ba, 0x78f6c513, 0x173a2d1b, 0x2e219fc2,
+    0x9bc635af, 0x0971d355, 0x6fe7a293, 0xfcfb74d8, 0x2a6b9d3a, 0xe3c54177, 0xb4e2b468, 0x5e4decf3,
+    0xafb45c25, 0x8ee6710a, 0x1fd09f67, 0x935a6d16, 0x72ce2a8e, 0x97513f08, 0x9aba4193, 0x6cec1738,
+    0x42090566, 0x76236fa9, 0xad8a4fcc, 0x61592087, 0x5fed11f6, 0x107304fd, 0xe1cf2379, 0x4fbcdb15,
+    0xa2b9c100, 0xc2f6da29, 0xb0b384e8, 0x4c0b744f, 0xa1a04f62, 0x9e671a71, 0xac2d71a7, 0x5bc3d60d,
+    0x00ae3d94, 0x18235fca, 0x8bee7215, 0x93bf63d1, 0x03164347, 0x21ac61ec, 0x8f61bd2b, 0xef189bfb,
+    0x9105598b, 0x0448734c, 0x2f72c028, 0x0e6669dc, 0x8007d0e7, 0xfa005766, 0x608cb940, 0xf4bb4ecc,
+    0xfe58ced3, 0x0ec96582, 0x4818b6b7, 0x2b1d1136, 0x85b2a6dd, 0x7b972d37, 0x355962e9, 0x37c1a101,
+    0x24b646b2, 0xaaefaade, 0x8bbfd4dc, 0xfb064ecd, 0x5008dbd9, 0x1e984fd9, 0x045549ba, 0x88f35a15,
+    0x56b59b4d, 0x9976ac7f, 0x52202d32, 0x634f31dd, 0x9daf56a2, 0xce32352e, 0x62705d2f, 0xcb3c24b8,
+    0x69366dc3, 0x8d6b73e3, 0x9b0ad3b3, 0xe6829297, 0xd4c3dae9, 0x7cf46fe2, 0x5418b4a9, 0x5e51d8cb,
+    0xa792b142, 0x5ea47c51, 0x1b8aa7eb, 0xb6997696, 0x8630a072, 0x7c5290e8, 0xf0b3165f, 0xf86decd2,
+    0x66518eb5, 0x7557f586, 0x25d7e3fd, 0x279854e0, 0xac69489b, 0x23dbfa7c, 0x360380e6, 0x6ea60ab4,
+    0x3d3d58f6, 0x5362b6a5, 0x8b169791, 0x26773026, 0xb1c4108b, 0xcc321093, 0x9b3e9e4b, 0x4746b33b,
+    0xf2927749, 0x508baf8d, 0xf0c3efa1, 0xc22ec1e7, 0x7821959b, 0x93a9f5de, 0x2100e75f, 0x3ad053c7,
+    0x0dae16c3, 0xad3c64c6, 0xda5f8af0, 0x79dac63d, 0x4d0ccaae, 0x8f2bc37f, 0x25b298d3, 0xd6c28ffb,
+    0x5c4059d9, 0x3e1d5c15, 0x05831510, 0x2e78c2fe, 0x8c6c46bc, 0x2f115a07, 0x948af012, 0x9bca29ca,
+    0x5a82d6cc, 0x73254e41, 0xad560f0b, 0x707aef14, 0x6eebbc44, 0xabcb0d4a, 0x23ea511e, 0xcf7d6363,
+    0xe34bf493, 0xeb94a731, 0xef135e53, 0xfa52b6e4, 0x9a31f2fe, 0x2120272d, 0xad084f0e, 0x9de0349c,
+    0x805e9b44, 0xd3587ed4, 0x7f07156f, 0xf60d2cc9, 0x91d3a376, 0xcd63f946, 0x46cf1c9c, 0xf27cc75e,
+    0x1c2e53c2, 0xcdbcf379, 0xd56e52bd, 0x1296555b, 0xbd379da3, 0xf351294f, 0x438edbd5, 0x3173d541,
+    0xf7a4e19b, 0xb7afc95a, 0xc1ae34fd, 0xe95bc3aa, 0x472b2786, 0x89217b71, 0xd80c6ce8, 0xabe8f1ac,
+    0x4ceb473c, 0x4b5a3819, 0xb1444c71, 0x823e62d6, 0x5ce36d29, 0x63aafb9b, 0x2823b213, 0x79b71c28,
+    0xd20136b4, 0xd812046f, 0x0cc97813, 0x5edce1d8, 0xd8b44d28, 0x0c063c66, 0x6b36c36a, 0x62d32e59,
+    0x868be1cd, 0xe63e72a9, 0x22276874, 0x7dfcdc79, 0x80708e74, 0x2dd8cccb, 0x25711a76, 0x6ea8e364,
+    0x20e088e9, 0xc5730762, 0xa4423198, 0xaf0859ff, 0x7867e6a6, 0x555a3885, 0x61882b87, 0xc2a32c56,
+    0x2ab2f70b, 0xaa43b5f1, 0x92ffe623, 0x7162ab81, 0x0e2d329d, 0xb54e513b, 0xb1ce2f61, 0xf2512143,
+    0x74a07538, 0xb2cbf78f, 0x24a311a5, 0x742059f3, 0x8211e444, 0x187df665, 0xad05a98b, 0xe492f7a4,
+    0x7896a3e1, 0xe6114c11, 0xfd99a933, 0x6c695cc1, 0xf5ff17df, 0x25cb1196, 0x7c40cbed, 0xe3a3407a,
+    0xbe8d98ff, 0xe31ceab6, 0x8219f3c1, 0x134834b6, 0xd1aa5849, 0xc861d7ea, 0xfd4f8e28, 0x603f02f2,
+    0x4705d2d6, 0x27bcd169, 0x06926b95, 0x822ce42a, 0xd6d4797e, 0x0467975f, 0x05ed6419, 0xdd1bada1,
+    0x1d813f02, 0x8e5c7d3a, 0x8d948d58, 0x8be51d23, 0x7cc48279, 0x71cb0d42, 0xc5eb0d9e, 0x5e3ab1ae,
+    0xbc813988, 0x2faff239, 0x1ecb3534, 0x76b3f550, 0x960a1cae, 0xc6e45e18, 0x192e9896, 0xd34b5656,
+    0x4ddcd2b4, 0x18660e90, 0x1d7157ae, 0xb0e675c2, 0xf4d01bd9, 0x0eb95c13, 0xecb8a315, 0xfc21c757,
+    0x6c544bd2, 0x3a21b3a5, 0x335c1d42, 0xb1cef116, 0xa9bc2b92, 0xaf2181f1, 0x5e09ce91, 0xe5d5cf6e,
+    0x75076a30, 0x756d1e9b, 0x4691bc03, 0x2c1cc8bc, 0x50dd5446, 0x12401c44, 0xcc67a78a, 0xa5686fde,
+    0x9afca37b, 0xdc0cc43e, 0x5bc9ef5d, 0x71f12a65, 0xf3b4365a, 0xc03ef80b, 0x3dddccd5, 0xc45585b6,
+    0x237c7f06, 0x941fcbf3, 0x2d8dae26, 0x9e225e0b, 0xf485023f, 0x395524ae, 0x85b4cbb1, 0x74e621bc,
+    0xeb056a8b, 0xbd36ddaf, 0xa4d8557e, 0x53930816, 0xe03476f6, 0x24190a8b, 0x5a87f72f, 0x72837355,
+    0x48178640, 0x4635d78e, 0xf23503a9, 0x1b18304d, 0x46b1861d, 0x75dca923, 0x08a16be1, 0x40f2d04b,
+    0xae4cf754, 0xfc778f35, 0xaacc530a, 0x712a3424, 0xa078af64, 0x5b6764ac, 0x15049ae0, 0x06b7fcb9,
+    0x833463db, 0xd8771546, 0xe6a6e9a5, 0xc94e1f81, 0xde810309, 0x879d07c1, 0x96060220, 0x95eb7ab4,
+    0xf219e877, 0x37213e8a, 0x6df02be5, 0xa6446558, 0xb64e1908, 0xb2a4f9d3, 0xe2081299, 0xf738a367,
+    0xacfd789f, 0x6fc1205d, 0xf32b42da, 0xe5bf7765, 0x33396680, 0xc1150d51, 0x2b37cd5e, 0xafa28649,
+    0x7fd3fc8c, 0x0f538118, 0xcdb7a51b, 0x161376d3, 0xa7a8f05d, 0x43f3fc58, 0xc815abc4, 0x7de645e7,
+    0x4958dde1, 0x8bd73465, 0x5dcbd9a3, 0xf47da093, 0xa009cb0b, 0x5c9bd773, 0xf63ba602, 0x0e25cc13,
+    0xbbec4730, 0x821ba408, 0xddfdc15a, 0x05d78970, 0x96e414cd, 0x9bc12519, 0x60a15354, 0x57930bbf,
+    0xa83b29b1, 0x1e5d3419, 0x0dae0251, 0x5c36df9d, 0x33b96aca, 0x3f431af5, 0x510f21ec, 0x42c7c9d5,
+    0x21e41563, 0x43f40c29, 0x1ba3f6b4, 0xdc3a1ab2, 0xf9c398d0, 0x34532845, 0x74e7b7eb, 0x53a38d44,
+    0xdc2c582e, 0xbfc57dcf, 0x2ce6affc, 0x72ad6ab2, 0x111b64eb, 0xd75eb541, 0x26b89ba3, 0x23a520f8,
+    0x2dbe7a74, 0x86b81e84, 0x979128f3, 0x8cd3c6d9, 0x4d21e057, 0x49049150, 0x838ba964, 0xef75f94c,
+    0x0d9fb31f, 0x6f1456ad, 0x4ed0d3a4, 0x504863b8, 0xcf0f4418, 0xcdca2c1c, 0xc988d3d5, 0x385af117,
+    0x72198ac3, 0x56e1b182, 0x40cbc12d, 0x28d1b309, 0x7fc29502, 0x3c56e5a1, 0x9bd798c7, 0xaed2f0dd,
+    0x061bb8df, 0x90eba3d4, 0x90798222, 0x68dd8603, 0x59bdc930, 0xf2b44f04, 0xb5ec745e, 0x4e9156af,
+    0xa9e40e07, 0x8df00659, 0x33a0484b, 0x53ee9ccb, 0xe6ee22c3, 0x704aa6d0, 0x8b806f13, 0x11483307,
+    0xbf3a8763, 0x2945d7e4, 0xb2013be0, 0x2e439886, 0x09269f6f, 0x2b81ac29, 0xf4ca5536, 0x15c499d9,
+    0x1a9b91d0, 0xb54fc622, 0xf3071c1f, 0x86538f66, 0x77e5f5d3, 0x4f9de2e9, 0xc17680d3, 0xd307c4b0,
+    0xadbcfa60, 0xe21a824b, 0x6ebdee0b, 0x4dfeba08, 0x034da3b3, 0x6457ee3c, 0x95b0fbfd, 0xad485757,
+    0x3a1c13aa, 0xddbed89e, 0xa5e9b4f2, 0x3214d1d9, 0x49fbcf37, 0xd0b72a26, 0x5dbd9dd3, 0xd3f9e723,
+    0x15782a4f, 0xcfe177b1, 0xa058fb2d, 0xf623e950, 0x722d6302, 0x6e2bac67, 0xac202aa6, 0xd4d85e88,
+    0x6d30188d, 0xf36c7c49, 0x9eecbf7d, 0xb514f55b, 0x4116082e, 0x1ff35cc7, 0xbfcb0e47, 0x00307aa1,
+    0x5ddca71c, 0x6841bf58, 0x04e8ec2f, 0xfc369dbd, 0x726e1cd0, 0x7c184624, 0x1e2dcc0f, 0x7d1973dd,
+    0x4a8efd8c, 0xbaf767d4, 0x4724739e, 0x6c3a4b33, 0x7d90b9ac, 0xec96930e, 0x821eaae2, 0xbf3bbadf,
+    0x395e9a47, 0xdea66067, 0x48162c0d, 0x581d8287, 0x57cb5903, 0xddc3a43e, 0x503d7059, 0x62926fc9,
+    0xc74756ff, 0x5054db47, 0x2904965c, 0xd7cb5880, 0x39f971cb, 0x5f0f505d, 0x2314a2a1, 0xe6e2327d,
+    0x74ceb1a8, 0xd7f992a6, 0x6293115a, 0x31891b09, 0x38c28ee8, 0xec82b107, 0xe2ba5227, 0x576eabde,
+    0xe4c1ebf6, 0x8b806e4b, 0x9a7a8e9b, 0xf6f3da61, 0xc6faa729, 0xdd703044, 0xb9b4abeb, 0xc57f9457,
+    0xcd636afa, 0x7ccae076, 0xbff0f4c1, 0x6e136e8b, 0x425d5859, 0x82eb1f45, 0x68add623, 0x568b10be,
+    0xbcf14f0b, 0x906076a3, 0xceb42f12, 0x413328b5, 0x0bbdc70f, 0x1f279092, 0x491dbd6b, 0x47ee0011,
+    0xf27f768b, 0x6eae77a4, 0x84d02c02, 0x112b380f, 0x3e1492a6, 0x2e5ea87b, 0x66a8e53a, 0x2f64c96b,
+    0xd8b5f330, 0x1a016820, 0xa8e293a8, 0x6213e239, 0x9bb96fc3, 0xb43dc9f7, 0xfa56d33e, 0x327ae543,
+    0x5bb9ea04, 0xbc2ab5e3, 0x23ff29fa, 0x632d1a39, 0xb16135e4, 0x95cb2231, 0x99085f2f, 0x6b9eefda,
+    0xd4ddc42d, 0xf1d3b02d, 0xbe50d27b, 0xc38a910d, 0xe2a3b980, 0xaf21fe85, 0xd41318a0, 0x5a821c38,
+    0x17fbd828, 0x719b1480, 0x449087ac, 0x1f728a08, 0xc3dd2b7d, 0x4bc87e72, 0x2e18becf, 0x32aa1704,
+    0x3a7b04a7, 0x9d604027, 0xc267da32, 0xf7d4e1ec, 0xf32500a8, 0x064e912a, 0x276b8814, 0x7783da6d,
+    0x6e084c8c, 0x394ff3c0, 0x8f5fcac0, 0xbecda055, 0x8616d554, 0x3f8de708, 0xb156f1e9, 0xcabe4a3b,
+    0xd21f8d36, 0x4bee7db2, 0x7f37f8ab, 0xe9ddcad3, 0x4d2c01b5, 0x244eeedd, 0xd532da52, 0xa20495e6,
+    0x14669b66, 0xae843896, 0xd44d4f4b, 0x045f8e57, 0x463583bb, 0x11807892, 0x43071397, 0x8810607b,
+    0x11e63150, 0x15564ca3, 0xf9174609, 0x85d6d7d7, 0x685102e4, 0x4da50f2a, 0x8592bcbe, 0x7ae6c57b,
+    0x5c77be29, 0x3b639acf, 0xba9a2841, 0xc339efc9, 0x4b4344f8, 0x309d2b69, 0xe5539ae6, 0x580212bd,
+    0x43be47ea, 0x75e06341, 0xc0ab735a, 0x07aadb7c, 0x385d03fa, 0xc723a45c, 0x506abe50, 0x7e8813e2,
+    0xe9e43b7d, 0x121cf5c2, 0x4909c301, 0xb14dd37e, 0xf473912c, 0x2717e4ae, 0xb9ad0984, 0x73e31519,
+    0xd872fc43, 0x7fea4bbf, 0xc4544bf6, 0x4b25abe4, 0xd6ea97f9, 0x5ea6d4a8, 0xd9013141, 0x7bcd17c9,
+    0x0a808a4a, 0x611bea53, 0x8ce1d910, 0xc8b5b237, 0x72b09b1c, 0x6e6dd327, 0x76a4687f, 0xeff7c75d,
+    0x4419c3d2, 0xfca72e8c, 0x227a031a, 0x61393764, 0x80dc3ee2, 0x37a672b3, 0xa3547cf0, 0xbd387a2d,
+    0x7ca62550, 0xdb2da743, 0x73bfbe96, 0x36043c6f, 0xc1cda309, 0x900227c7, 0x38d0ceea, 0x98efc256,
+    0xb0e48c51, 0x806729f8, 0xce54bf26, 0x6796e003, 0xa3c36b37, 0x2eb0b01f, 0xf0c132cf, 0xdd545744,
+    0xfc75752e, 0x56929a00, 0x762e35b6, 0xcff8157a, 0xa8cbe104, 0x87391eaf, 0x1d806b8e, 0xd3cca3e4,
+    0x08589959, 0x1373e8d3, 0x6c4d5185, 0x9b2270f0, 0xbb97946a, 0x0b6c1693, 0xb8729703, 0x1e80336c,
+    0x5a62ce83, 0xec49404d, 0xfb9d6738, 0x81e9d1f4, 0xec9495b0, 0x6793193f, 0x817d1439, 0xfbc14ac7,
+    0x633cbcf3, 0x49402f56, 0xec663da3, 0xc15b2bb6, 0xa0689120, 0x504ef6e7, 0xe654d852, 0x16297891,
+    0x6aae9ad0, 0x5d4d3593, 0xc2e92478, 0x9684f88e, 0x305d03dc, 0xeeed1d39, 0xe7d38621, 0xc2c60aea,
+    0xf0da0b32, 0xce663bdc, 0xe83a6652, 0xaaaa680c, 0x48116caa, 0x8f2c3874, 0xd19a6bef, 0x72feddea,
+    0x940482ef, 0x041f41b6, 0x56930401, 0xa14dd7ee, 0xf0cdd907, 0x87dd431d, 0x517798bc, 0xa629e2d8,
+    0xd49cad22, 0xd0643af6, 0x3daa2476, 0x2c18ab5d, 0x7f784f2f, 0xc8f746a4, 0x03014418, 0x824e14d8,
+    0x4700bd96, 0x659b7ca1, 0xf438d961, 0x38c72804, 0x04f30365, 0xc606d9c7, 0x64d31713, 0x3b2c8010,
+    0xa48ad596, 0x370bd081, 0x78071c69, 0x9c911c45, 0x88121645, 0x2ef88a5e, 0x930339c4, 0x18cfed95,
+    0x7602e1ed, 0xececa825, 0x4333e09f, 0x5e8e9c6d, 0x43911cfc, 0x8b4b43bf, 0x7f4383e4, 0xcf91c52e,
+    0xfc664743, 0x78e1d6e7, 0x1282f6ef, 0xbc453507, 0xe850b970, 0xa0bf1729, 0x45debafe, 0x9d3b40c6,
+    0xdfbf4235, 0x45b39aa3, 0x6e4a3e67, 0x0a680146, 0x78752f46, 0xcc11b9e0, 0x48600dcb, 0x6911c5bf,
+    0x2fa3f8bc, 0x02fda311, 0x2e7e266e, 0xaee3198c, 0xf2a3f114, 0x31fc5949, 0xe6acfbda, 0xfa75f632,
+    0xbafea366, 0x7eb5c9f4, 0x4f53204a, 0xc426cef6, 0xc757e4d7, 0x5274618c, 0x40d1f718, 0xa327792c,
+    0x68692de5, 0x6ec189d9, 0x346f85b8, 0x5f0e6fe8, 0x2ddb7c75, 0xeb9cbbb0, 0xc0070f3a, 0xae3af6d3,
+    0xfbd89b9e, 0x26d2e54e, 0x5abc5e69, 0x8f40b58c, 0x1b57fdf4, 0x1e07cdb6, 0x1ea779d0, 0xd0efe4dc,
+    0x1a55d8b9, 0xabb07c76, 0x4e08d7a1, 0x03591e2a, 0x825af4f3, 0xdcbc5a25, 0xe30ebf23, 0xf2fb3cbf,
+    0xfaf7ab06, 0x72e7d803, 0x488dbf29, 0x01266251, 0x2510cf64, 0x8f848a9a, 0x3db123c1, 0xaa8ac577,
+    0x898213c6, 0x53b5b2bf, 0x047daabf, 0xd8812f76, 0x50484b4f, 0x9b2bdb49, 0xa7723e5f, 0x63fb871b,
+    0xb1777fce, 0xf6cbf42e, 0x8e7b40a7, 0xccb7904e, 0x00e52641, 0x45ce29dd, 0xed6d7c74, 0x5bf1a01a,
+    0xc27b3102, 0x6ad87a03, 0x5ad0e8e5, 0xad0bdba9, 0xc05945ae, 0xc5b6e1a5, 0xee26ac25, 0xc682aa33,
+    0x235ab6d9, 0x18c55e70, 0x142cdcae, 0xc553e22b, 0x8b69190d, 0xe56fb27f, 0x34a6471e, 0x00831b8a,
+    0x9c5530de, 0x2097aece, 0x8dc3adbf, 0x68ae184e, 0xe348aaaf, 0xc36e9c89, 0xce7a66c4, 0xc7d49f41,
+    0x714cc5c6, 0x89ee2e7b, 0x768a0216, 0xcd9f9b89, 0x101c6e3d, 0x7df4938e, 0x1ac6df2a, 0xb9884919,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         1809251394333065553493296640760748560207343510400633813116524750123642650624 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db564, 0x04173c2b,
+    0x00000000,
+    0xf005f691, 0xc3878a81, 0x08213616, 0x756ee1eb, 0x958ae3e2, 0x10fbb26f, 0x364137eb, 0x71a82795,
+    0x964a768b, 0xd06e065b, 0x88edbaa1, 0x0e8f8bfd, 0xabd61cf8, 0x5d6ccc13, 0xb55b71ce, 0xd4fc8bcd,
+    0xd5bc4e6e, 0x323f9952, 0x132e4f0c, 0x8b419353, 0x3571e2fe, 0x45ac197a, 0x511b47f9, 0x3f55dd96,
+    0xda51ce7b, 0x275598c5, 0x5bda6307, 0x67f77f7d, 0x69e918b0, 0xa6038106, 0x53afab0c, 0xf034b26b,
+    0x945928be, 0xaf41261e, 0xf4fd3e96, 0xcb3e8ed7, 0x0b5e6897, 0x9153df49, 0xb216a709, 0xa7c12190,
+    0x4c670153, 0x0e2eb9fe, 0x74114b3b, 0x1f8744af, 0xe9c3fe65, 0xb24e3df0, 0xae69b317, 0x3a4e0ca5,
+    0x3af11e61, 0xdd15f420, 0x343b7359, 0x6d58b835, 0x0701d98c, 0x186cf037, 0xf0e69dfa, 0x7f958535,
+    0xf38893e8, 0x85cf04fc, 0xf87b467b, 0x02f5d839, 0x1ee7c49a, 0x7baaa83c, 0x0c47e056, 0x9fa626e2,
+    0x62371906, 0x80f8100f, 0x150e9a60, 0x4e9f56b6, 0x36b277fb, 0x8866dc8d, 0xc924910b, 0xca799c0b,
+    0xa1722755, 0x10e46e23, 0xa750aff3, 0x91e3ce32, 0x2c26ac9b, 0xe4e297cd, 0x797c515c, 0x91ec64ac,
+    0x19cea395, 0xcf4f3fdb, 0xa14c108c, 0xed0ab674, 0x76a97f44, 0xb8645468, 0x1815463f, 0xf8b8a8a0,
+    0xbba62126, 0xd0b339c2, 0xb4bd99b5, 0x9d26481a, 0x557c5861, 0x20f0b16d, 0x774d76f1, 0x69ff3956,
+    0x9347ad6e, 0xd98d488c, 0x822e1cc6, 0xddae5aed, 0x26f50646, 0x0d36876b, 0xa11d51ee, 0x641ad31f,
+    0xd6ecb756, 0x713183ec, 0x9a831e07, 0xb3d47c49, 0x4719cf86, 0xb15a0ba2, 0x38b81a29, 0xc3d49856,
+    0xaaac81d7, 0x19ced1df, 0x267ebdb4, 0xd1d7ba92, 0x890ff85a, 0xaf070c9d, 0xb70fe293, 0x0ea7230a,
+    0xa80373b8, 0x99d30d2e, 0xbcf49848, 0xa13d6478, 0xe5a44e26, 0x897355d8, 0x24572de4, 0x7179f250,
+    0x134707c4, 0xae809c72, 0x7c72ebb0, 0x021ceabf, 0xf2b7aff4, 0x83c191af, 0x2c3d4a09, 0xf3886cb5,
+    0x494bbd3b, 0x665ce926, 0x948ee3d6, 0xf90ae7d6, 0x208b6427, 0xf13efaa0, 0x3a996b26, 0x785ee547,
+    0x6edb415f, 0x927c4cc1, 0x67582c0e, 0xfaab93af, 0x303688a9, 0x30ba669d, 0xb08030a7, 0xbfd5342a,
+    0x9da9afaf, 0x55b693dc, 0x3cde52bc, 0x23691124, 0xe147d372, 0xea5e637a, 0x9dc63f14, 0x79270f44,
+    0xb1cde748, 0x6561e68c, 0x9f856977, 0xea863f98, 0x74580d6a, 0x3758407f, 0xc6189107, 0xc9121ea5,
+    0x3c7cc0ca, 0x6146b129, 0xd6e68a4f, 0xbc872fea, 0xda452ba0, 0x2db14b8e, 0x6b789772, 0x4e8c4eac,
+    0x81389d1a, 0x966a6434, 0xe6c0d2cc, 0xd3136242, 0x79b92b52, 0xa6f10a41, 0x888e9d73, 0x9c1ced85,
+    0xb5cddb5b, 0x49982f66, 0x1a20c244, 0xb48ef18c, 0x4c32115d, 0xdb7bc5f1, 0x66ce1462, 0x304816e9,
+    0xdeaf97ca, 0x264a116a, 0x059ddc7e, 0x1deb9a77, 0x09099fe4, 0x7974f785, 0x2bcbf55f, 0x3ad6efc2,
+    0xde188a78, 0xa476af11, 0xf233cbbe, 0x064941f5, 0xba859aed, 0xcff9147a, 0x12090848, 0x83297d88,
+    0x9ae6820f, 0x08ede68f, 0x698fd66c, 0x7e21f400, 0x29e3daac, 0x200ed20b, 0xdd7e4fea, 0x35357093,
+    0xb30a39c4, 0xba4e10d9, 0x9cb1e8f8, 0xd1dafb15, 0xf1f5c812, 0x6c5f398f, 0xda4a9e0c, 0xe70c097d,
+    0xcead08ac, 0xaf33e42c, 0x62113a42, 0xe1d7c7ad, 0xab8bc3fe, 0x76cc4f33, 0x56049907, 0x410b366a,
+    0xf657ad5b, 0x911377b7, 0x38c584af, 0x096ebab9, 0xc7f25d3f, 0x73d78eef, 0x23c229c8, 0x4a20aaea,
+    0x02b4a557, 0x794a5027, 0x137aa621, 0xd56fefb0, 0xe9a20ee0, 0xa4bc5a56, 0x7b07389b, 0xae560135,
+    0x709321f5, 0x8f4de0fc, 0xf96b7fcb, 0xcd14b9c6, 0xd7e1d389, 0x157bd178, 0x1537a69c, 0x86741f8d,
+    0x8381e1b5, 0x96e03bba, 0x71f8e241, 0xe1c3d33f, 0x60dc43ad, 0xbc63c66d, 0x1db5dcbe, 0x34de86c3,
+    0x74b01cd6, 0x95621839, 0xa45cf197, 0x486314ec, 0x9840bc0e, 0xa3c7bd63, 0xf845c1dc, 0xfed06b64,
+    0x251aea1d, 0x0a1d58dc, 0xfaa076f9, 0xc8675cc1, 0xaa23105e, 0x773d38d1, 0x1896771e, 0x1b830a32,
+    0x71c12e7e, 0x214f5920, 0x0c56e794, 0x5a72fd06, 0x5bb56f76, 0x0ce084d4, 0x1ce0e5d9, 0x7496b78b,
+    0xece8bafd, 0xa7d9de5d, 0x50914867, 0x530e1b07, 0xc15533ba, 0x262f9f7b, 0xa634dfbb, 0x99ff14ae,
+    0xe7e3a48a, 0xcb1e5881, 0xd7a80eed, 0x6856e0f1, 0xd8dd92ef, 0x9e2d0f9e, 0x0a26e5bd, 0xa4e4a9fe,
+    0x21e862ae, 0xd27567db, 0x17b9a8ec, 0xe02b7bde, 0x2cfbf7d2, 0x1f853af7, 0x5dd14e7e, 0x18f5f6de,
+    0xbc1fd61c, 0x13148da8, 0x8498ccb1, 0x77fc63fe, 0x988db4e7, 0x636f3d25, 0xca078d9d, 0xd1ce21a0,
+    0x13fac8c0, 0xe5d06cb7, 0x88a185d3, 0x2e55fe86, 0x1e94b0ed, 0xf8aef015, 0x860c8200, 0x872efe07,
+    0x46ae937b, 0x82cf02be, 0xe0852d13, 0x4fc839fe, 0xd4057720, 0x8dd34546, 0xe1312417, 0xa8207ba4,
+    0xf6c71082, 0x14ddf8e6, 0x6696f8b0, 0x2c438f62, 0xc403a028, 0xc13082c0, 0x4b9fb23c, 0xc9dcc0e7,
+    0x278172ef, 0xc8ff0678, 0xf0fdc567, 0xa6c03319, 0x45385f35, 0x4b89ec99, 0xca8feb69, 0x6b8ec385,
+    0xd2b153ad, 0x34a21371, 0x9ce9129a, 0x4b6bb4fb, 0xc807212d, 0x47ccbdd5, 0x660210c8, 0x1886b9c0,
+    0x241bcc91, 0xbb2d9673, 0xa0e0a1c2, 0x72a2ef0e, 0x53ece8fb, 0x0332c75f, 0xeb9725b9, 0xeec390c5,
+    0x8ff2172a, 0xbfefcb40, 0xde11fcb6, 0xf648449c, 0x1006f94e, 0x39a38650, 0x7fbdb49c, 0xeafb538a,
+    0xcfe033d0, 0xb8bc1dd2, 0x8f3ae228, 0xdca9567c, 0x8ade2840, 0xe6bb0499, 0x4402f99f, 0x15c39e9a,
+    0x180267fe, 0x04839f47, 0xa722679f, 0x6d9e0aa7, 0xb1c06a74, 0xaec5d574, 0x7c9c154b, 0x45535273,
+    0xe6c36380, 0xa3f41329, 0x89932cfe, 0x5fbdd9dc, 0x4e443826, 0x1d8566b5, 0x43d77bf9, 0x68ea65d1,
+    0x2ff5cc50, 0xe1ad86d7, 0x28b1aa51, 0x9bd8bfb4, 0xaa164a48, 0x1defc9a4, 0x9487425c, 0x37537d15,
+    0x6a56fd5c, 0xdc10915e, 0x5d659707, 0x501595f0, 0x3fd1c979, 0xab982484, 0x12565134, 0x711f1fbc,
+    0x24bf6aea, 0xa55e457e, 0x4122730a, 0x800d4fb9, 0x6605e27f, 0x51d4a297, 0xf5efe3d1, 0xa0211cb6,
+    0x6af16c11, 0x06cb319c, 0xe4892cc8, 0xcbb68569, 0xaf508344, 0xc7c657a2, 0x086fa4df, 0x196dc4b9,
+    0x7f5cf7fe, 0x177cd07e, 0x64945498, 0xc1f7b111, 0xbd45be7f, 0x8963f40e, 0x99b2367b, 0xbdabd6e7,
+    0x67ccc78d, 0x88b13f75, 0x6b5207e4, 0x3c8458c2, 0x5e37a819, 0x9a2abd87, 0xfe41295f, 0x4cfa61d3,
+    0x6be7128c, 0xf96353d6, 0xf27a8de9, 0x270a76b8, 0xd98ad7ef, 0xcd472efd, 0xb7e17d25, 0xfa33f785,
+    0x05442de4, 0x289a85d2, 0x7dfcbf56, 0x64d6ba70, 0xb7966d27, 0xf8a1b843, 0xcdb40ec2, 0xbf17ceca,
+    0xbebf7d68, 0x0f1252cc, 0x3a6840e1, 0xfc90d261, 0xa4bb6c7f, 0xae8d4eb0, 0xb4702bba, 0xdde47460,
+    0xf3d0768a, 0xab283f02, 0x214ee603, 0x7a32d343, 0xd23b9bdf, 0x4f6e777f, 0x8e0ca4f0, 0x1779c79f,
+    0x1ffe5737, 0x7e0c67ed, 0x8045cf35, 0x9b4c495c, 0xd6e03e4a, 0xdedad2d7, 0xf3a016ce, 0x274e6e6e,
+    0x723e3af8, 0x4a3844ec, 0x093e278e, 0x1cd23b0c, 0xf420cd1e, 0x17626205, 0x36eb988c, 0xae78a288,
+    0xad9146c5, 0x085fe953, 0x00f69f0e, 0xb826cfbe, 0x6c7f0e45, 0xb43dd507, 0xb74d404d, 0x491966d7,
+    0x0b0d4bd1, 0x6828f4ec, 0xed28d977, 0x0a94aa04, 0x05a3c3b3, 0xaa96cc87, 0xabcae452, 0x92b0b462,
+    0x4caf7a9f, 0xeb1e8255, 0xa836b9ee, 0xc77c0499, 0xef906eb1, 0x6692080d, 0x5e497956, 0x8d7adb76,
+    0x8498cb15, 0x0edbe44b, 0xf9caefe9, 0xb0b7a610, 0xa15abb81, 0x2139ed94, 0x2764e6ff, 0x26256206,
+    0x83467673, 0x49cc46d6, 0xc630297e, 0x71ff35b7, 0x262bcb2a, 0xd71aef84, 0x3947f7c2, 0x27e242f9,
+    0xe2b836e7, 0xa639ec1f, 0xc4a60d59, 0x68e86996, 0x08e57603, 0x183aabd6, 0x814b58ab, 0x8acd2de6,
+    0x305fcd4a, 0x8f7fc68b, 0xdcf783ce, 0x46e2974b, 0x41f9d2ab, 0x39133b5a, 0x8809752c, 0x01d81013,
+    0x337c4da1, 0x7bdcddfb, 0x4c00711a, 0x667dc1f0, 0xa6156a23, 0xfe782b30, 0x6301505f, 0x61e90421,
+    0xb4e5c7f5, 0x2484b682, 0xc7116b27, 0x755cba75, 0x94ecb150, 0x284f50fc, 0xd1ca4ac3, 0x09ac154f,
+    0x55b87e52, 0x962ffbb7, 0xed8c0070, 0x4c278ccc, 0x280ba807, 0xe46535f9, 0x47b6071c, 0x51aa7e15,
+    0x60d09f6a, 0x45ff4557, 0x2c7d8fc6, 0xed31d97e, 0x72a953ba, 0x0fc88fa1, 0xf69b4c37, 0x62dceabd,
+    0x3e166217, 0x64d6982c, 0xd35eed44, 0xfc1618ce, 0x428c1dce, 0x78fa184f, 0xe931a8f6, 0x440365d7,
+    0xe5658f49, 0x8cea87ce, 0x0b56201b, 0x31e7f618, 0x151677e5, 0xc8e7e452, 0x00477258, 0x2fd84dbd,
+    0x991a3fac, 0x11212dac, 0xd56f845c, 0x69e63ee4, 0x086c6ed1, 0x78d9b7c6, 0xe9bccff6, 0x1c8d7136,
+    0xf69149f7, 0xe06e5ed3, 0x78afa390, 0x7700a805, 0x982f6484, 0x6f22f943, 0xd38926df, 0x2cac7f57,
+    0x4ef18839, 0x3161d48d, 0xce6f107c, 0xb3d56d0b, 0x90ba7e6c, 0x082c0323, 0x6c7d131e, 0x56686fa5,
+    0x61567df6, 0xa250f5d9, 0x46c50f25, 0x2e916c4b, 0x69b1ce65, 0xebecfb9e, 0xee8d4569, 0xc9d267da,
+    0x1e01018e, 0x0e50b808, 0x576e712e, 0x0ef9e4cf, 0x88523563, 0x6a7d16ba, 0x0645d3bb, 0xa3afe264,
+    0x07f7a198, 0x9f0b9f1c, 0xce03a1a1, 0x253f5511, 0xaedcddc6, 0x5d49e2a3, 0x2b7de88b, 0xe6197cd3,
+    0xca232a7c, 0xef9bb68d, 0xbb1adffc, 0x2dd6436e, 0x19f873bd, 0xa43e52e5, 0x91917e5b, 0x9d7de8dd,
+    0x1b113f11, 0x4a1e3142, 0x50dd333a, 0x22895c8e, 0x47754341, 0xc4e3b762, 0x0f92806d, 0x2eb147a4,
+    0xfa7561d2, 0x4d79bcf6, 0x121ff71b, 0xf3f38814, 0x365e1fdd, 0x74cfdda6, 0x3564c1e5, 0x668e3cc8,
+    0x7522aeec, 0x876f4720, 0xb1985521, 0x3ae59888, 0x08dda042, 0x36082f72, 0x2162e9b3, 0xda9d1040,
+    0x6d730a24, 0xbda07378, 0x8baf82c8, 0x5fd74c8e, 0xf9664053, 0x044703a5, 0x076593b7, 0x276b980d,
+    0x8abd3be5, 0x1ab54d02, 0xf39030a0, 0x8c1633c6, 0x5f7269af, 0xa4e5a829, 0x14407039, 0xbb245b8b,
+    0xccc3448f, 0xd3249d9f, 0xe052f3ff, 0xa3f2be5e, 0xe46fb439, 0x30bb8a3d, 0x69e2536d, 0x2456bba9,
+    0x8f84eee2, 0x728939c6, 0x7ad90814, 0x3bb33578, 0x6357cc31, 0x965bea8d, 0xce861943, 0x7fe8eb44,
+    0x5d6ef683, 0xe9653083, 0xe2941863, 0x905bf96b, 0xd9dc8c32, 0xf95f4ca5, 0xf21eae68, 0x460c45d9,
+    0x6cf12cc7, 0x21edbb7a, 0xf63cd8b3, 0x136c7d41, 0x223a21c2, 0x1d929182, 0x39eb5067, 0x5ddcea62,
+    0x2e6a50e6, 0x699c0121, 0x812d77db, 0xe0cf9328, 0x0779a2b8, 0x17b80da1, 0xe0db60b8, 0xbc300172,
+    0x09e8b0a0, 0x0f9a2fbf, 0x4ade4e23, 0x5a93e01f, 0xb0cd2717, 0x14379a72, 0x4494eca5, 0xe18dac89,
+    0x5bff76a8, 0xcba95a90, 0x2e932f0a, 0xb76a0d88, 0xec6f6119, 0x6aa31516, 0x8a5a54e3, 0xeac8672c,
+    0x148d4d6c, 0x99faceff, 0x256b1439, 0x5920e9df, 0x05a6e4c4, 0xd8c8f0e4, 0xd5b61c11, 0x8dfeef01,
+    0x375014e0, 0x2e041808, 0xfe486c44, 0x6fc36da5, 0x4f20756e, 0xddff5888, 0x5c42afb8, 0xfa038ed6,
+    0x4da4f501, 0x17d38231, 0xff99c4ea, 0x757910cc, 0x1c7b4142, 0xa88972ed, 0xf5bbb079, 0x7336d822,
+    0x88472e3f, 0x8238fe87, 0xce35fcbc, 0x8c043dd2, 0x69cfea62, 0x172b5cba, 0xae7ee239, 0xe30fe875,
+    0x99a20095, 0xee8526b1, 0x2765e15d, 0xe6a4ecc7, 0x1a41369f, 0xd4d039d7, 0xa8dd9735, 0x146010cb,
+    0x509b78e7, 0xbfe6cccf, 0xe99a277f, 0xa73dfba7, 0xe3c48160, 0xd8e62950, 0x4ed5e5d6, 0x48aeb9b9,
+    0xe6250a1d, 0x135cfc82, 0x320d3b0a, 0x6f51d0e2, 0xc0148f65, 0xd744b845, 0x963c62a4, 0xf8386526,
+    0xc0688e6c, 0x1acf5b84, 0x03cb20b6, 0x9f95f598, 0x99ae0dff, 0xb1cca67e, 0x1d6a2e81, 0x36d979a5,
+    0x64079df1, 0xb0ded369, 0x058fcb9f, 0xee5cbcf4, 0x5fb891ae, 0xe6748dbf, 0x5badf397, 0x817c41ad,
+    0x8d1b3463, 0xb8538ede, 0x4a3a80f0, 0x51355975, 0x44cd960f, 0x69b26ab4, 0xe659bbb0, 0x668f85b6,
+    0xc980b4d1, 0x73bdce25, 0x62ff5746, 0xc4510389, 0x0ee526bd, 0xa6335d43, 0x807e69f9, 0x78ab4c17,
+    0x22c324ae, 0x725c76d1, 0x82cd0dfb, 0xfcf3a252, 0xfaa29f8b, 0xd3601305, 0x0198061a, 0xe43c2898,
+    0x2b7dafe2, 0x25e8bef1, 0x9f45a416, 0x437f7072, 0x19fa057f, 0xd5b8ea74, 0xa2949ce2, 0x25a724d5,
+    0xd17725a3, 0xaf395f30, 0x30f3ce8b, 0x742ab93b, 0xea892b16, 0x72a830ae, 0xb21f0781, 0xb780feb0,
+    0x97f36762, 0x1101681e, 0x8cdfc40f, 0x45d6cc54, 0xceae4321, 0xb12be864, 0xffa3001b, 0x56670b59,
+    0x707df4ea, 0x45aab134, 0x9babcb91, 0x9e03b506, 0x969148d7, 0x19cb68f2, 0x76830e5a, 0xb9dd299b,
+    0xb2f98291, 0x1499bbf1, 0x917b757c, 0x7a341959, 0xf09d4b73, 0x89a055e8, 0x0c9f448e, 0x35af1f65,
+    0xbc3f2e7b, 0xe4aac0ca, 0x4f5bd0b8, 0x423c0087, 0x08b7dc56, 0x25566c15, 0xfe10e9dc, 0x8542ce24,
+    0x353b7f46, 0xee8c19d1, 0xadcea2f0, 0x50fc8373, 0xaaf8257c, 0xbad549a2, 0xfc3d8359, 0xf62a5d4d,
+    0xaca23510, 0x44ffc789, 0xe8b8ef23, 0x25ccd607, 0x11ea9d74, 0x9250d25d, 0x95ba72b7, 0x3dd2bc75,
+    0x31fe7de8, 0x7a8c03e2, 0xd5332eb9, 0x1e2c9430, 0xf1d48275, 0x5ef84323, 0x7a4b9c72, 0x018b7a9a,
+    0x06b84846, 0x8cd35c80, 0x3af5846d, 0xf5da96cf, 0xff95b73d, 0x749129c7, 0x2767dd3f, 0xfcf00331,
+    0x1d11fa6f, 0x2dd428fb, 0x7e539258, 0x97947613, 0x17ce33b8, 0x2bcf7643, 0x11f6361a, 0xe92fc912,
+    0xdd4ae163, 0x51b699b7, 0xe9f20173, 0xb54008c6, 0xaee6bc4a, 0x7cc62842, 0x97563f85, 0xdfb5fe20,
+    0xbaccc62c, 0x21a9ab7c, 0x064c3b58, 0x9c948a2e, 0xe3f4afce, 0xb99923da, 0x39241c1e, 0x07b4d924,
+    0xe2b42324, 0x33addf87, 0x49775495, 0x5790b052, 0xdd770e4f, 0x70db3e80, 0x511ee930, 0x09548c7c,
+    0x92547865, 0x4d70df0e, 0x5070f043, 0xe8824f00, 0xd9fbaaa1, 0xdc840c4f, 0x21154a5c, 0x29d7f379,
+    0xec0a255f, 0xd73c158f, 0xae803bc1, 0xcb4bbeba, 0xc831179e, 0x054b0bb6, 0x9e6fbb14, 0x30aa1b60,
+    0x2c29b123, 0xc0439f18, 0xaf4f0109, 0x41fb2533, 0xbab1fa41, 0xa0fb55ee, 0x4f13872b, 0x283b7042,
+    0xf090ee0b, 0x5b15f8e7, 0xd6b78ad0, 0x0cc67768, 0xb5b71812, 0xebd5b769, 0xf446244f, 0xbf5728ee,
+    0x3f8520c9, 0x8580e94c, 0xb4c62dce, 0xe15c1c42, 0x068a7779, 0x8d5c4218, 0xa2a0db36, 0x0565c166,
+    0x049ead7a, 0x272e9589, 0x62821781, 0x40590b97, 0xec82741e, 0x01d562a6, 0x96e9276d, 0x64aef27e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0904625697166532776746648320380374280103671755200316906558262375061821325312 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab2, 0x020b9e15,
+    0x00000000,
+    0xaf479bfa, 0xdf80c388, 0xa8db6840, 0x279f24b3, 0x5bcdf12f, 0x9ee988be, 0x0911e73a, 0x80cf819f,
+    0x5717d646, 0xbaf56db9, 0xc2cf7040, 0xc151322d, 0x45ad194f, 0x779ca2ba, 0x7773129c, 0x146aeb16,
+    0x2bdc8ca2, 0x2d6affee, 0xe6ab5335, 0x7888d012, 0xf0e09b5e, 0xf510ab27, 0x155781be, 0xd1ef623b,
+    0x92572455, 0xa121b5c2, 0x932c4156, 0xe8b53c00, 0xba855cdd, 0xa16466c6, 0xa39987ab, 0x3d7de2b9,
+    0x5a5eb1f2, 0xa959d56c, 0x43fb293a, 0x9356ca24, 0x07269fe9, 0x38bc4d62, 0xcf13c1ec, 0xd01c4a92,
+    0xef164461, 0x9afd11ae, 0x50032ff9, 0x1d2b274a, 0x504000e1, 0x7d9eaef5, 0xdc4ad34a, 0xe7c26c67,
+    0xdf701b41, 0x0ebbfb9f, 0x901abe65, 0x8992f1eb, 0x2cb7749b, 0xdae9f44a, 0x2a123fc5, 0x048a269e,
+    0xdca59121, 0xe8ae4ae3, 0x6f429a27, 0x28ff7d11, 0x90cfeeb0, 0x305c5f38, 0xa8762c26, 0x4475d0f0,
+    0x4501f086, 0xf31a1b64, 0x0e4ed113, 0x96b4358c, 0x0a2d5bed, 0x7c45603b, 0x1201349f, 0xf7134bff,
+    0x29273089, 0x12066c53, 0x3267f3bb, 0x09fd547a, 0x4e6bc8cd, 0xde501719, 0xfdcffb88, 0x7e5e40d2,
+    0xf9e552f1, 0xfbaea3a9, 0x0df4d85a, 0x1fc5b452, 0x75fa3c48, 0x0c2de905, 0xc05779c4, 0xdb31ec37,
+    0x3bb6731f, 0xf6b8e947, 0xda949251, 0x863da810, 0x55eec724, 0x8e37d574, 0xfadd8480, 0x61a1d7de,
+    0x4ea7ee37, 0x56264fbb, 0xcbfa98d5, 0x23da9b1b, 0x87f48bec, 0x0f8f9190, 0x2b3713bb, 0xa70fe189,
+    0x089b27cf, 0xa4e7c684, 0x656113ac, 0x7f82a7ae, 0xc11db49a, 0x6a5aec36, 0x2b9de936, 0x641737d9,
+    0xad099b73, 0x143b4a25, 0x860af127, 0xcfa595ff, 0x570d4779, 0x686116e0, 0xc873a168, 0x6d873fcf,
+    0x3147e32d, 0x8ef72cae, 0xd910af40, 0x2796c0b2, 0x8c398eaa, 0x91ab89c1, 0xc0d5c0b4, 0x45bc891f,
+    0xf9d75707, 0xcd2490c7, 0xb391be00, 0x9e3e2936, 0x03af554b, 0x74eaa163, 0x1055c41b, 0x037244b2,
+    0x6174acfe, 0x43e4fd9e, 0xd79bb196, 0x3ab7bf64, 0x2e3142f4, 0x5555dbba, 0xea552709, 0x1a93ead3,
+    0xcde689ab, 0x6eccf854, 0x8f0caf8f, 0xe60e0635, 0x3c0b6d81, 0x864de971, 0x7a14dc8f, 0x5c65df9c,
+    0x64531c4b, 0xb3db9038, 0x157f1a7b, 0x700bf76b, 0x942581e2, 0xb28d4fb3, 0xba5fcd21, 0xaa74bc85,
+    0x22fdb1ef, 0x44a57919, 0x457cdcbf, 0x434e928f, 0x78590d7e, 0x266eb4a6, 0x404dd134, 0x1d0abd6f,
+    0xcb235113, 0xe3aaf0fa, 0xcabfa1ff, 0x8d2eae93, 0x23a08a27, 0xb13ad40d, 0x06a40826, 0xccb6381c,
+    0x30137ffc, 0xdad800f2, 0xaf0211c0, 0xd7f63c69, 0x3b670530, 0x240f8d30, 0x2d7c45f9, 0xb7bf0776,
+    0x0385a5ec, 0xc41c3cc0, 0xb17cf753, 0xc7520db2, 0x4b345947, 0x3d5f5037, 0x292c692f, 0x1f848f6c,
+    0xec7509aa, 0x91fc2a65, 0xb38235c7, 0xa9907c58, 0x50739bca, 0x7e67ed1a, 0xf2f67b6a, 0xb7e8e6d8,
+    0xf5ff3504, 0x1f44392e, 0xd49cf3af, 0xd754279f, 0xc79878eb, 0x6d5cdc8c, 0x541ec8f6, 0x92886c79,
+    0x94ce951e, 0x01a7e672, 0xd0505b67, 0xa77e8755, 0xd84f75ea, 0x7ba4e2d3, 0x5f78beb9, 0xe95c4915,
+    0x8972118b, 0x61a48275, 0x6b0d1182, 0x0b43bb40, 0x05b87c0b, 0x120f7170, 0x0d157584, 0x420c72de,
+    0x6cbf6fb2, 0x6eeb5d7d, 0x8b5475b0, 0x5858717e, 0xafd33a8d, 0xeeaf6998, 0x7005a21d, 0x39858d81,
+    0x273c78d5, 0xfe5ab9ee, 0x87eaa551, 0x5b00610c, 0xb2d35c67, 0x14231dd4, 0xde996ea8, 0x2b451b5b,
+    0xb39891f3, 0xc6b5c070, 0xcfe5e7c7, 0x30c2f3d1, 0xe9be50d1, 0x090e7bbb, 0xe688e80b, 0x94d735be,
+    0x0f60d353, 0x5ceb918c, 0x9cb9fb7d, 0x0ad57557, 0x1d9abd3c, 0x2c3d372f, 0xab2146fe, 0x2fbacb1f,
+    0xfe186d01, 0x629a36ce, 0xd743f064, 0x1c23c827, 0xa27c59c9, 0xf98833c8, 0xba873c32, 0x249742a2,
+    0x478a068f, 0xebc6fae5, 0x22ac915e, 0xc6782f39, 0xca6f2f8f, 0x291c297c, 0x7e52d368, 0x1be64195,
+    0x43cf7c6f, 0xcad6b53e, 0xa534d9d8, 0x0bb80796, 0xa6cbb0a9, 0xac1a2086, 0x468dbe93, 0x49eb6b6b,
+    0xfec2f88a, 0x14931e47, 0x9d468293, 0xd0f7a68a, 0xe922c6fe, 0x7fca9d78, 0x058c7542, 0x18062bfb,
+    0x4468481e, 0xfac06ed4, 0x27c17752, 0x406a452a, 0x0b6e306d, 0xb03e84c2, 0xb8910be2, 0x4db58127,
+    0x6a87f68f, 0x5de2dc5d, 0x89fe93d6, 0xcec95c0b, 0x52188c57, 0xa480eae0, 0x49ddb66b, 0x839480ad,
+    0x179ff27f, 0x44374b65, 0x0abb11e4, 0x594ba280, 0x191c6fc1, 0xb19a49e4, 0x48f397e2, 0x89de9fc1,
+    0x4b1c7515, 0xf7fe0a53, 0x7cb38cf3, 0xb0b2a5c5, 0xb95edb61, 0x3a1a6024, 0xfcdd4da3, 0x3bf537ee,
+    0x28d1b281, 0xdb812134, 0xea157bae, 0xe84456c4, 0x53d56e0a, 0x8b2b1b69, 0x52d98fbb, 0x43d9db85,
+    0x48cf72d1, 0x12d70726, 0x3e364276, 0xc5b9ac0b, 0x7faa9855, 0x4357a115, 0xa76c82de, 0x30e22c8a,
+    0x802a71ee, 0x4c6330d5, 0x432ae046, 0x1012e95a, 0xc37b9a3f, 0xb0d0495c, 0xc4927a9b, 0x35a92016,
+    0xc4fd213f, 0xafa13788, 0xc4940817, 0xa9376fef, 0xa4781ea6, 0xb89387f0, 0xa7deeb6a, 0x373dbca0,
+    0x1d9a894d, 0xb4bd6e0d, 0xe2d9dc87, 0xdf0b8eff, 0x7572e709, 0x82618835, 0x400187c0, 0xfdec3630,
+    0xaaa244e1, 0xf7c04265, 0xbdb7afb6, 0x411eb1ca, 0x9ad22f65, 0x1d33562a, 0x1641d80c, 0xdcaad9fd,
+    0x9ff9accc, 0x4cc1301c, 0x7aa0ed9f, 0x2546c878, 0x5af0b010, 0x74a5160a, 0x9c9b310f, 0x333820f8,
+    0x449ac599, 0x2e0bb05a, 0x4904336c, 0x4b94278a, 0xce87a7a8, 0x04ecad34, 0x6e178310, 0x6e90c6d6,
+    0xa3646789, 0x080ecd2f, 0xdbe80463, 0x4fc14275, 0xed5f731a, 0x261b2e63, 0xba4a1e8f, 0x022f21e5,
+    0x911c07e9, 0x950439f8, 0xa895524a, 0x8cc9754c, 0x9f4aac6d, 0x7ed285b2, 0x3937daf6, 0xdf4f0d59,
+    0xa609e2df, 0x3ee6d4c4, 0x61777033, 0x48d5119b, 0xc5ea91d0, 0x186603dd, 0xa285a07f, 0xdcf7daf4,
+    0x1e8af1e7, 0x8d3d7bd1, 0xecbc28c6, 0xf13f81ee, 0x05af8682, 0x016e42cd, 0xef68cc28, 0xfee4ff10,
+    0x7fc86d68, 0xbd754fcf, 0x31381db3, 0xf1337f2b, 0xfb1059ac, 0x9a5fcb6a, 0xb537a02e, 0x5d2342ee,
+    0xc3834f06, 0x0d4abb8b, 0x1e1f0a2a, 0x685be032, 0xbc6f8685, 0x747673a1, 0x4bc85df9, 0xc1112c58,
+    0x3f2ca120, 0x46e6a9c3, 0xb3518625, 0x424fa37a, 0x75c1e260, 0x68b5eadf, 0x7ea16b90, 0xe6fbcce8,
+    0xe99138d1, 0x37533518, 0x31bac7ba, 0x0c103ddb, 0xf6c6f99e, 0xea9c1091, 0x50367893, 0x10747cc7,
+    0x07f1b44b, 0x40b4a6a4, 0x4490ef07, 0x53298e7d, 0xfe483eb0, 0x37fc7bb8, 0x916c2d90, 0x3dbddf61,
+    0x5c5c29a1, 0x9c3d0554, 0x428efa5d, 0x591178aa, 0xa09787a7, 0xab08b85c, 0x2be0a9e6, 0xb5023a58,
+    0x9c47ccf4, 0xa758a722, 0xdd3590cf, 0xbb6d0a7c, 0x0ba903d9, 0x57d31fba, 0xaac59e75, 0x43616c04,
+    0xc4dcf71d, 0xc45cb59c, 0xb7f76f31, 0x845de89e, 0x0bb9e0fd, 0x0b03a400, 0x172d7ab2, 0x600ec561,
+    0x9336e3ca, 0xd3ab6a25, 0x1c211c86, 0x091ad8f0, 0x3c6c6abf, 0xf6bef2af, 0x9faa1e7e, 0xdd96db75,
+    0xd68d5700, 0x464e7963, 0xcc82190f, 0xcee0c181, 0x77c40280, 0x91a85e9e, 0xb8e4c2a9, 0x52db973c,
+    0x788f9f8d, 0x6e6f5fb8, 0x88c6fae4, 0x2f325469, 0x094e6f59, 0x7f559346, 0x22aa09f1, 0xaf5bc3fb,
+    0x322e0562, 0x18bf3799, 0x8fce59c6, 0xa6b1e01f, 0xbc2729f4, 0x45fb607d, 0x898005ae, 0x136656de,
+    0x1fe92ef7, 0x93cf21ca, 0x017b0c08, 0x7e24829c, 0x55b18efe, 0xf886f0cb, 0x0b2c5abc, 0x740a2a59,
+    0x18489d50, 0x8f460785, 0xe9cf5cc0, 0x13a1e7c5, 0xdf8b50e5, 0xdb700977, 0x16c0365f, 0xb42c5c76,
+    0x1544f602, 0x3fc9c9da, 0x5c86d8e4, 0x52e6f5f0, 0x90706d3c, 0x3650f038, 0xf20950f6, 0x18c06585,
+    0xe6d15cf0, 0x5658f165, 0x3a897510, 0x8d584fed, 0x4cf53a9f, 0x50b70689, 0x61fab6db, 0x3f912247,
+    0x547d45c7, 0x72bc381b, 0xf51fb06c, 0xe324fad7, 0x99cecaa2, 0x81ebd277, 0x07616b37, 0xd96e1249,
+    0xff9e73b7, 0x3339e0fd, 0xb6f39f9e, 0xd9ca16a6, 0x30d7af1e, 0xf4edeaf5, 0xbe82e6d4, 0xf0e18c98,
+    0x370b712e, 0xc1c07434, 0x08c55ba0, 0x5b5f180d, 0xf506bfcf, 0xe895aaf2, 0x0a0a719e, 0x964419d9,
+    0xc073a600, 0x57aa496d, 0xbe4694d4, 0xbb4adb1f, 0x4876d12f, 0xe14309b9, 0x136bdc65, 0xa92eaef0,
+    0x66c07f68, 0x984ef7c0, 0x87027670, 0xfd4fe3c9, 0xc14b1390, 0x23b20ad4, 0x1a00d0a9, 0x7dbfd93f,
+    0xf232f054, 0xe6992b15, 0x0bbb7f1d, 0x9f176900, 0x15644d48, 0x49f8ef94, 0x78eb708f, 0xeea060bc,
+    0x3c6ddc1d, 0xe96a6fda, 0xd1a1610c, 0x397b2774, 0x23ba5b74, 0x560159e1, 0xa6671005, 0xe3d6985e,
+    0x5ee193a2, 0xb1b14052, 0xf432fd85, 0x88038828, 0xb5281fd5, 0xc9009be6, 0x19bbf41e, 0x098a7066,
+    0x29003f40, 0xf4a66a4e, 0x06c341ee, 0x5487e0a1, 0x82be6fda, 0x6ba0e51e, 0x1cd69aab, 0x7a419184,
+    0xe8f7337c, 0xf2de6b84, 0xeb3cdf4d, 0xd2e5446f, 0xbb9067c7, 0xe680268b, 0xbc840ff6, 0x564eb444,
+    0x330df423, 0xb4fee42e, 0x4e0133cc, 0x6280119c, 0xe20e3484, 0x2e70ca4c, 0x40a49d7b, 0x332c85ce,
+    0xfb392a70, 0x39c62f6a, 0xfcfed313, 0x9c1fdd32, 0x305a685a, 0xb52725af, 0x5d805e46, 0x59a5ec99,
+    0xcc8d9b2a, 0x44994e6d, 0x5ee28708, 0xcb9b20b2, 0xe6d9707f, 0xc1555c47, 0xdc64aa9a, 0x2c6d5884,
+    0x81a29122, 0x617efed7, 0xfa10991c, 0xe1eb5157, 0xf24efa8d, 0xbdee9262, 0x5ea6a540, 0x4dfa4eca,
+    0x2154a44c, 0xc51e9494, 0x0b472734, 0x699f0b84, 0x31bb9d7f, 0x54f208fe, 0x06011633, 0x498f8be6,
+    0x642f677d, 0x1d69f854, 0x338af518, 0x716f6d59, 0xd19cba92, 0xd5845c1e, 0x9216302a, 0x03166c87,
+    0xff40b42d, 0xb12156e7, 0x4f6a6d6b, 0xcbbf39d5, 0x0a4b16e8, 0x6c78deba, 0x5e2c1d63, 0x431de428,
+    0x42bc098f, 0x23497902, 0xa115d79f, 0x8c7130a1, 0xffaf98a2, 0xb9fe51aa, 0x8527ba54, 0x3e3bd03d,
+    0x4b36dbca, 0xcaea9055, 0x023e893e, 0xebb63927, 0x9e48bf4b, 0x60521639, 0xe2acc668, 0x37fe2efd,
+    0xd267b022, 0x2db9808b, 0xa889933e, 0xefcc3f58, 0x9425365f, 0x68534e2d, 0x8e4827f7, 0xf0962dd4,
+    0x437ecbe4, 0x4fb82675, 0xc9f563ad, 0xb499edf7, 0x8f51f50f, 0x93de73bd, 0x99b2ea15, 0xdf501149,
+    0xd67af9e1, 0xbae336f5, 0x4ed54373, 0xd8d8867e, 0x8ab5c653, 0x49f26c2e, 0x866a84f9, 0xc6567753,
+    0x89536c91, 0x363a1c15, 0x94ae27aa, 0x935ab043, 0x502a62c5, 0x9edb8958, 0x7b182097, 0x9dc4e13a,
+    0x0c80f8e7, 0xcfb90b15, 0x71f0fe7b, 0x4e06c638, 0x180b4ccb, 0xc14e3c56, 0xb69ddc6d, 0xdcf0f255,
+    0xffd33f4a, 0x5ee1fece, 0x2e5555ba, 0xbc95888b, 0xe8475c4f, 0xbdccd25f, 0xac258997, 0x86604753,
+    0xd47f126e, 0xd352c08a, 0xdb4da272, 0xda48927f, 0x43fcfd7c, 0x8c986616, 0x4a1a6fff, 0x138459e1,
+    0xbe71e556, 0x10e9ef98, 0x23f9c6c6, 0x640df98a, 0x61425343, 0xc067368e, 0x46f98cc4, 0x178e6cf2,
+    0xbca9ed14, 0x533c527e, 0xe7dba75c, 0x9c33f2d1, 0x70da613a, 0x38a5c130, 0x8173178c, 0x320671b7,
+    0x92606df5, 0x0a6f26de, 0x0e5c4410, 0x27002a39, 0x93bcf011, 0x0f959be2, 0x9ce75b6e, 0x09cb3696,
+    0x97228bc4, 0x322769a7, 0x4d762c2f, 0xbe23e68e, 0xd97a6e00, 0x0cd23c81, 0x420f7d10, 0x012364b8,
+    0x0f6647e1, 0x4d322c8a, 0x4957c328, 0xb4c281c8, 0xbcb37cac, 0xd395064f, 0xc5ebedab, 0x9e63beb4,
+    0x706026ad, 0x1e7c5f6b, 0x590829b9, 0x2a23efca, 0x0574711a, 0x46741cc1, 0x64d50688, 0x546de56a,
+    0xb30ed069, 0x9acbdc3b, 0xce390e7c, 0xb232704b, 0x7d23f546, 0x430f54fd, 0xea3e5bea, 0x9565cde1,
+    0xd37a4eb1, 0x4dac7af5, 0xbf80b7e3, 0x24c95618, 0x55bbc144, 0xfc744a21, 0xcb9a9e39, 0x5a54408e,
+    0x93256ecd, 0xae7d5a6b, 0x5e350ba7, 0x59046ba7, 0x31f9e89f, 0x240410bf, 0x6025add1, 0xd0fb6fd6,
+    0xaaf5a277, 0x00f9eeef, 0x9853fe3d, 0x020a0ebd, 0xb50b101a, 0x4022ced3, 0x26a558b9, 0x809d70c4,
+    0x752e16ea, 0x55e9405e, 0xcb47e90c, 0xa8c11edc, 0x15faa3bc, 0x0e7b606c, 0xa05927df, 0x6baf656f,
+    0xeec990f3, 0x6d49e5a9, 0x6cfcebe2, 0x8af033a8, 0xcd52af74, 0x3a25613b, 0xd75b261d, 0x168024f3,
+    0xd2c4fe08, 0x75f430e5, 0x26a77c26, 0xd768d738, 0x007c72a9, 0x98e4f784, 0x9ad1c528, 0xf2bebb40,
+    0xe05d04fb, 0x9e607b12, 0x972e9caa, 0x5c37253e, 0x304b224f, 0x316d190e, 0xec726e80, 0x6045c3c5,
+    0xd1ac5da3, 0x306f10b3, 0x040b3c7f, 0xf7ca1a0e, 0xe0281bb6, 0xe4c88566, 0xe39274fe, 0xf1900a2f,
+    0x17462064, 0xd0750cf9, 0x247a659b, 0xbd94d72b, 0xec4fd398, 0xb3bc798d, 0x44abdbc0, 0x512c9987,
+    0xae28a69d, 0xabd46f8b, 0xa5e4a45e, 0x89c3a7d2, 0x7f00c68d, 0xdceb3964, 0x6bee77c3, 0x805ab9a8,
+    0x9f0df262, 0x6cc46014, 0xefe567df, 0xa939301e, 0xb4b18814, 0xf85c64a4, 0xed031f97, 0xfc611752,
+    0x565fdc6b, 0x29d1925e, 0x735fbdac, 0xf37804c6, 0x9135604f, 0xde7ccad4, 0xba400bd9, 0x82a3d472,
+    0xffde08d2, 0xd2c481a5, 0x805eaf23, 0x8fe03d41, 0xfea979e2, 0xb7e72329, 0xdd240de6, 0x4109b5f8,
+    0xe91f7379, 0xb1d91d8e, 0x514500d8, 0x215593c6, 0x6b2e5ac8, 0xde06686a, 0xd7934805, 0x7506f36b,
+    0x150ede81, 0x26c6c61f, 0xac57c921, 0x3a1684c4, 0x22517ef0, 0x09cbaae8, 0xc4f59cbc, 0xf01483db,
+    0x52816622, 0x4ef6d703, 0x0ca056e2, 0xcebe513b, 0xe485fde5, 0x4c4c6517, 0xa0bb1f35, 0x66eb603b,
+    0xec854eb3, 0xdcf358a6, 0xe5ef10cf, 0x4cfa641d, 0x7fb8bd9a, 0x68ee1ef7, 0x36c70868, 0x7eadea7c,
+    0xfb4d394d, 0xa6e42086, 0x9787fcbc, 0x3781dab4, 0xf011d0b0, 0x38766138, 0x6f7bcf3a, 0xcee5b5cc,
+    0x94fd54e2, 0x2352a1c4, 0x9f275b6f, 0x28819b37, 0xbba6afa1, 0x75a7a587, 0x72450f59, 0xce91267d,
+    0xd95982ca, 0x9bdc1fc9, 0xd776ee34, 0x56bba68f, 0x8fc39e48, 0xae50e175, 0x56522315, 0x14fc8964,
+    0xe42f0dd3, 0xc0ba73cc, 0x6e7b5985, 0x518a23f9, 0x7f5b5572, 0x32870cc1, 0x20490a36, 0x7c7bf06c,
+    0x38c28c5c, 0x8bd0ae98, 0xfdff39dc, 0xda0152b2, 0xe99ec232, 0xa1bdf73b, 0x16775d0b, 0xdf13f169,
+    0xafe693c6, 0xcee399d8, 0xde35004f, 0xc9664da8, 0xfeed9d2a, 0x67b730d9, 0xa2c9daeb, 0xd22d8a5c,
+    0x48a971c5, 0x03915563, 0xc459fd6b, 0xc6ec12da, 0xb3bb60f0, 0xb7cfe5a8, 0x96c741d5, 0x8100d239,
+    0x24a3c1c8, 0x56f52974, 0x92eb78c0, 0xf00e1a26, 0x7080c434, 0x503d7114, 0x5b67040e, 0x541c7dfe,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0452312848583266388373324160190187140051835877600158453279131187530910662656 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d59, 0x0105cf0a,
+    0x00000000,
+    0x95c92e4b, 0x58899c13, 0x940d999d, 0x7ea54aa5, 0x2cf8c62e, 0x7647571c, 0x0906917f, 0x013517c9,
+    0x7331f73d, 0xf64178ed, 0x3f287b25, 0x39c45071, 0x225dabee, 0x9f216d3f, 0x55496af0, 0xc6078495,
+    0x312b1874, 0x222b4bb8, 0xa4b1f40b, 0xfaa9dcb4, 0xc370510e, 0x4b6cdeca, 0x77f54569, 0x4eeba4a0,
+    0x14c811ff, 0x14556406, 0xcded7d9b, 0x008c0f2f, 0x6f55b950, 0x516d1906, 0x58f892c1, 0x83d6d7ad,
+    0x07276251, 0xf0126d26, 0x6d4beddc, 0xa0a78ec2, 0x6daa49aa, 0x2b8c9bf9, 0x8f1fa4ac, 0xe3133aa3,
+    0xf032124d, 0x91ded12e, 0xde89e04d, 0x06dd7c16, 0xae629fc7, 0xf6bfe02d, 0xdb271e1f, 0x9a917b9e,
+    0xd1e8ae2f, 0x368fac16, 0x4736693d, 0xf7c06073, 0xb70f0005, 0xdd81c9fe, 0x8c7871db, 0x3dc9abf8,
+    0x4c38c805, 0x294a0a0d, 0x4eaf8fe3, 0x74c0af71, 0x13733974, 0x283d9aee, 0x1c0184de, 0xf192d952,
+    0xb86c3628, 0x6928e170, 0xd9b62144, 0xb0a5ab5a, 0x1ae8f09e, 0x57a9f800, 0x2028b391, 0xebf9f32b,
+    0x3ed9003c, 0xab27e2af, 0x9eecb92c, 0x509ade32, 0x8316632f, 0xdb3e2bf3, 0xd1658856, 0x59d4802f,
+    0xc09ed53e, 0xca347b51, 0xf77ce34c, 0xbfd6b669, 0x55c6c047, 0x0f3a4956, 0x23807d78, 0x299fc246,
+    0x51f837e8, 0x17cc0d0d, 0xac73be50, 0x7f4a93dd, 0x5b671f0d, 0x4a9aee61, 0x8f76b926, 0x60fdc212,
+    0x35f56777, 0xaa461ca7, 0x6c4fc97c, 0xadc62346, 0x409b8059, 0x9fa237cd, 0x1c9415c3, 0x2f736565,
+    0xd095eacb, 0x970584c8, 0x9723dc01, 0x6481b0bd, 0x0cdb8dfa, 0xcfb786cc, 0xd7ba2c96, 0xd0217309,
+    0xaa8eb12a, 0xa3873fb4, 0x5e738b97, 0xf5b08323, 0xb34b6280, 0x9b391070, 0x5e2aa4da, 0x007650ff,
+    0x4266b528, 0x0240f475, 0xe383e153, 0xe8491e40, 0xe835cf9d, 0x69bfeb51, 0xcad90cdb, 0xa9a8e690,
+    0xee3a885a, 0x54031a20, 0x27e99bad, 0x48c54e50, 0xf6817846, 0xecb5def3, 0x2416fc8e, 0x15246428,
+    0x9f308c83, 0x3d382be5, 0xfa32b0cf, 0x28c11c89, 0xe1de9141, 0x74952956, 0x37a2d65e, 0x74fc5de9,
+    0xf5bb9c12, 0x9392578d, 0x198eb59f, 0x66302302, 0xc79514c1, 0x5bb42ed0, 0x7d8d483b, 0x2928f81d,
+    0x1ee438e6, 0xffec0b7e, 0x3a4f19d3, 0x1f4f5a09, 0x21906910, 0xbfe87447, 0x4075b631, 0xaf950044,
+    0x95d59f69, 0x071fce16, 0x02f381d0, 0xaba9ec19, 0x2559a1d8, 0x39c9ed3d, 0x167d8fe9, 0x1cb6421e,
+    0xa8a69db9, 0xb77c9f00, 0x65f58ec3, 0xce4e815b, 0x17b7af01, 0xa470308e, 0x005cd97a, 0xd67811d9,
+    0x28bd1f1b, 0x1624c9ac, 0x1baaeb4c, 0x7a83074b, 0x66288947, 0x41a5c25a, 0xade5a111, 0xdf87133a,
+    0x9410833e, 0x853eedcf, 0x4b6d4d63, 0x9e877b70, 0x4cdd0832, 0xfaf78911, 0xa77c87b9, 0x96c73770,
+    0x8ac9255f, 0x2d29c62c, 0x1f63a557, 0x20f9e021, 0xb760ec75, 0x637b8bc3, 0xf0c84282, 0x3050bb12,
+    0xb91ea5eb, 0x6667694c, 0xf9813ed7, 0x521d9870, 0x733d39c7, 0x80439323, 0xb522ec3d, 0xc56e9660,
+    0x30f98ffb, 0x9cacbbfa, 0x8cfb2a98, 0x43226bf4, 0x6e8205f2, 0xf1f9600e, 0xc73a9a59, 0x9d04f928,
+    0x1e50978b, 0xb5202d0b, 0x05d42379, 0x682accc9, 0x51ece5dd, 0xc7bd774b, 0x45349bf1, 0x56d05656,
+    0xb33c62d6, 0xe671213e, 0xe35d1f91, 0x4f244763, 0xb8a7380e, 0x3db522e5, 0xf5e1d953, 0xad0476bd,
+    0x56b2076b, 0xc364aab5, 0x877f8eb7, 0x84671162, 0xecaa11fe, 0x09a3b4da, 0x793dffe6, 0x0fee5557,
+    0xcfe1f849, 0x1080159f, 0x0d27e9ef, 0xf6e0ed4b, 0x2fbcf43c, 0xe9f159a1, 0xe0f26ff6, 0xb7baef37,
+    0x6bfac6c5, 0x4de0115f, 0x3f089d97, 0x1de4aa1d, 0x9f609021, 0xa3018db2, 0x7bae1f65, 0x4233ddcd,
+    0xa07d053d, 0xd307448f, 0x52d6fc89, 0xc36543a0, 0xd7e6e9db, 0x2300a3e8, 0x42eac956, 0x31333818,
+    0x4e430690, 0xfe372164, 0x459c461d, 0x8bc1ca9e, 0x459ffd31, 0xf89202f2, 0x99349422, 0x768bc031,
+    0x8a94a6ae, 0x74949c6d, 0xf86d2040, 0x98ce2e6c, 0xca3748c3, 0x33b37648, 0xa2bf3352, 0xa134732f,
+    0x95bfe64b, 0x218b6dbd, 0x3c7b6e87, 0x9df47202, 0xe13dc8ea, 0x29de2420, 0x3ad18462, 0x942395d9,
+    0x7554c4f9, 0xa52024e1, 0x060a286b, 0xbd6f776a, 0x197328e5, 0xe974e841, 0x2068cba3, 0xfb9e5535,
+    0xb6d72fa5, 0x8e9caae1, 0x9457d943, 0x73f99c0c, 0x804fe41f, 0xedbf893f, 0xf202468c, 0xbf6049b2,
+    0x5194e003, 0x26f1e1bf, 0xc4762dff, 0xabffb07a, 0xbb6ec6b0, 0xa8c7e4bd, 0x44c60855, 0x9048a487,
+    0x0829ae3f, 0x7605dac6, 0x1a9f37fe, 0xd46c0223, 0x137f7958, 0x0ef881b2, 0xbd780f9f, 0x6f6bb899,
+    0x7a7b2f4c, 0x78dcda25, 0x4102f80f, 0xab72ef05, 0x41bb9b09, 0x5986bb79, 0xb495e50a, 0x38a52a60,
+    0x855b8d78, 0x7bf61862, 0xa076a881, 0x34221944, 0xe6a08d27, 0x312d0326, 0x640424da, 0x96be1cef,
+    0x57faae54, 0xe53c95c6, 0xfcc5120d, 0x6816162b, 0x2d4031c4, 0x271923b1, 0x94e86c9c, 0x8d65bd05,
+    0x5cec6ba9, 0xfd584a2a, 0x626a9a8c, 0xff34056a, 0x1d4b7864, 0xf5032353, 0x2546638d, 0xfcec9b2c,
+    0x2081e633, 0x8915b9e2, 0xf19f13b2, 0xd94ba7e6, 0x4a656b67, 0x9f0112e5, 0x432f5c0c, 0xd532d124,
+    0x5b492974, 0xe72d18ae, 0x803732ba, 0x41fc734f, 0xb92cbbfb, 0xf41a4f81, 0x38452af9, 0x14749de2,
+    0x2befbe44, 0x398731b4, 0xd814c8c8, 0xb311c45b, 0xea869fe6, 0x1c097004, 0x3c4a96f1, 0xae1c157c,
+    0x54bf3ad6, 0xc1bc5c9d, 0x44ff2972, 0xced680ed, 0xa3a8183a, 0x4e5f3a91, 0x8ebbee9c, 0x16617b02,
+    0xb9767134, 0x63b90de0, 0x08af17ea, 0x88c6ab00, 0x9b61158f, 0x5f16f032, 0x59fc5a3b, 0x489a2f66,
+    0x46a33726, 0xf6731e1c, 0x4bdcb089, 0x46c39c5f, 0x7155fd61, 0x6c6bd252, 0xf287b67e, 0xb8ddbce0,
+    0xe6b092b7, 0x298a9009, 0x60b3e1f2, 0x1363372c, 0xb3416bcf, 0x9bc361b3, 0xe8407591, 0x69178b2f,
+    0xdbdf5dd9, 0xc55d1a9e, 0x215f89ed, 0xd23d89f9, 0xc0ef127c, 0x76ff28db, 0xf59441f1, 0x13cb3fe1,
+    0x3737d302, 0x2c41ee05, 0xf6799b97, 0xa967ee84, 0x3dd6aaaa, 0xa3c96317, 0x09496d99, 0x6bc86253,
+    0xf2ea62e3, 0x53f0eaa7, 0xcf4e2fb2, 0xad56ad5d, 0xcd45ed75, 0xb049b2cd, 0x1c84bb4c, 0xd55b15a7,
+    0xdb27464e, 0x7500cce9, 0x6f341b80, 0xe7afca6c, 0xaf01ce73, 0x782d6952, 0x34eb7b8e, 0xf912a9b7,
+    0xc5a8b496, 0x1a1d89dd, 0x54d3af9b, 0xe7c24eac, 0xc1bc405f, 0x5616f752, 0x2a5b23d9, 0xe9f92136,
+    0xf991698c, 0x19e2f96c, 0xd6a0cda0, 0x22ff2a0b, 0x51a84156, 0x7240c4f4, 0x275431a2, 0x7e8cca28,
+    0x8f76a1e6, 0x47b4939a, 0x0fbcdfcb, 0xa3951384, 0xeb01e8df, 0xdd3759cb, 0x8b6e854a, 0x755b6758,
+    0x58a3c40c, 0xf69bf986, 0x004197a8, 0x30b03539, 0x8c5f7e14, 0x37cbe88f, 0x63ce2dbd, 0x5976df9b,
+    0x895ba234, 0x326a9ffd, 0x7bca937e, 0x1537b534, 0x75b30218, 0x88c3f035, 0xb31ece48, 0x81438f6a,
+    0x656f34bf, 0x2b72ed34, 0x0da7efb0, 0x388318ac, 0x17ad8ebf, 0x3041e93d, 0xed75d2c4, 0x05264c43,
+    0x44683c7c, 0x854441c2, 0x48bb9ce4, 0x43bb5598, 0x24550fb9, 0x341d28ca, 0xd8193d38, 0x8f9a8867,
+    0x152d0272, 0xdedcd7a6, 0x2a4dbbbd, 0xdc5cba47, 0x498b7057, 0xafceaedc, 0x018d9ff6, 0xda305603,
+    0xfe79ecf7, 0x8bd2b91f, 0x2d1fe317, 0xebdfaa62, 0xa3f44eef, 0x4a2048bb, 0x5210c280, 0x96895f02,
+    0x2d9c6b69, 0xdcc470e0, 0x3f6d7f52, 0x500fdccf, 0xbf52d7db, 0x165fe51d, 0xaf0ad16a, 0xa40c330a,
+    0x07b1f011, 0xfe0f2ee1, 0x876a017e, 0x4ef1e5a0, 0xb0e5c86a, 0xffe6b6d1, 0x2e793836, 0x643c7b53,
+    0x6afd0771, 0xd6e29723, 0xf91f5d09, 0x44b3cf0c, 0x3dcf3d14, 0x48ca5cbb, 0xaa566534, 0xb104029d,
+    0xad6c8af0, 0x46ef5753, 0x421d8caa, 0x08c9326c, 0x85089d49, 0x724ab0d7, 0x04df5c6d, 0x459f3073,
+    0xfa14a9b7, 0xc6cbb666, 0x5b850def, 0xcc1d5134, 0x1f13b4bd, 0xe5a1278d, 0x227b3a52, 0x93331860,
+    0x7d357ff3, 0xe10b650f, 0x64613eb8, 0x421c7af7, 0x7c4d2276, 0x88cf8da9, 0x02dfcf70, 0xb48a8943,
+    0x6536cd78, 0xee67bfcf, 0x34b2ee78, 0xaded4d7b, 0x1820b014, 0xf701e23f, 0xe3eade93, 0x13542eb0,
+    0x2f46fcfa, 0x0b7230ba, 0xe1fe3823, 0x360c9f3f, 0xead36b85, 0x4dcede6b, 0xb922a8d8, 0xf5e807ed,
+    0x29ef3abd, 0x46dc7588, 0xf61a7d8a, 0xee12147c, 0x3cbfe57f, 0x38b15038, 0x37893150, 0xab758370,
+    0x02dd17d4, 0x6dcfedd5, 0x2dac613e, 0x5e79a54a, 0x2fbe40f8, 0xa94e0a81, 0xe3393cae, 0x44f6aaad,
+    0x4bb18367, 0xf86db62c, 0x37dbab4f, 0xfd26f396, 0x5232c9b4, 0xc1558e61, 0x800ba8b3, 0xb14af76d,
+    0xf0485e67, 0xbe98ff61, 0x12513ddd, 0xc23d9bba, 0xaa10152c, 0xce5053e3, 0xd46c3004, 0xd081f8d5,
+    0x451640cd, 0x79d0d3bb, 0x06567332, 0xb4e8059e, 0xb4f6b601, 0x5f4f252a, 0xe344b4df, 0x67aa436b,
+    0xa48db2e0, 0x728fe345, 0xe2d1fb9e, 0xdb3e7ac2, 0x9c455379, 0x9311d8e6, 0x9ab1a3d5, 0x614af0bc,
+    0x6873108e, 0xfd7ea27c, 0x7864d4a4, 0xcc19083d, 0x8a6fcae7, 0x8b7199c7, 0x09163ad5, 0xcf9fe2f6,
+    0x0558bf0f, 0xaf3a26be, 0xf6ec069c, 0x2ebf1f2f, 0xa8e5e66d, 0xef959aea, 0x08866c97, 0x61018919,
+    0x3c1aeb80, 0x081b3125, 0x4853ea29, 0xb70226f2, 0x7c1a5efe, 0x38e9baf2, 0x15fb23e1, 0xd059c1d4,
+    0x885d7d97, 0x3c298e2e, 0xbc63e370, 0x58fef9f2, 0xcfbf6619, 0x8b5d171c, 0xfd6e854e, 0xb78eb918,
+    0x3b091bc3, 0x628c5020, 0x0c13f896, 0xf1fdbb3d, 0x3c11b602, 0x08a173d7, 0x1b6bfbaf, 0xed83b045,
+    0x375e4970, 0x6742f9db, 0x2280b7c5, 0xd326dc20, 0x2d0156d6, 0xf7d70177, 0xf60143db, 0x048f2c6f,
+    0x20e68caf, 0x5eb1fa8b, 0xc7ae9a98, 0xe22c1c72, 0x9748ee64, 0xcfa7f9de, 0x3c2585ae, 0x0371245e,
+    0x3daf4537, 0x4400feab, 0x2c6d492b, 0x102b067e, 0x09a7301a, 0x91d71e7c, 0xe16f3be4, 0xd0a97748,
+    0x51440afe, 0x0d116cba, 0x49a03085, 0x1cd4b552, 0xc3effcc1, 0x2b078e9e, 0xd0b57536, 0xcc706c61,
+    0xd8bb3b1a, 0xbdbd8d02, 0x08de51ca, 0x3cfe1746, 0x8dba7ce0, 0xe5d05e48, 0xa23fbfe5, 0x66b13584,
+    0x58836292, 0x81c1f40f, 0x75055828, 0x2019d3d4, 0x05a6229a, 0x6f88c7f7, 0xe3a576f8, 0x5ee33fcf,
+    0x0e7e004a, 0x25744c0b, 0x69cd6025, 0xa3e506c8, 0x5115e98f, 0x1d1fc3c0, 0x1d659be9, 0x8fc7cbf3,
+    0x8b0914c4, 0x23afeb9f, 0xa41b8a1a, 0xbb45714c, 0xe4d53949, 0xd580ebef, 0x6434aeaa, 0xd46521e0,
+    0x6c8b7f09, 0x3dab08c9, 0x08993c7e, 0x09d1a4ef, 0xc1b82e16, 0xebc3de4e, 0x6e3ebc20, 0x06e2f613,
+    0xe6ae7a24, 0x66a0a428, 0x36d8cb8c, 0x2f3fdce0, 0xcafcbbf0, 0x32cb55ed, 0x47c8dd29, 0x1382e0f4,
+    0x5581c333, 0xaa9d3c1f, 0x8af232f0, 0xb17b85ad, 0xaf5eba28, 0x9d36d371, 0xcd030d54, 0x7b4a9b8c,
+    0x1ab6ff32, 0xa12e6433, 0x3c194341, 0xbeea2fb0, 0x30225239, 0x683766b5, 0x9846d19a, 0x2859b192,
+    0xf8120891, 0x5d823141, 0xa81c0c74, 0x210caa85, 0xdcac9f71, 0x79a48c49, 0xc14c5f91, 0xb82d061c,
+    0x93566427, 0xa5fd7028, 0x3791fbad, 0x69abf8fe, 0xad063b70, 0x04e381cc, 0x9f9bf852, 0xdd579868,
+    0xf155c55f, 0x3fd102a9, 0xa9b6b608, 0x2e316393, 0x321d6d96, 0xbd905b94, 0x1f89e34f, 0x997893c6,
+    0xd0ee72f0, 0x0a125d0b, 0x3f41376e, 0x369192d3, 0x1759baac, 0xaa529a0d, 0x443f351e, 0x81deab0a,
+    0xaafdec0b, 0x9745ab88, 0xb64b53cd, 0xa1551c2c, 0xdfc4970b, 0x7f7ae3b6, 0x36999396, 0x467f403f,
+    0x8dd92fa8, 0x60727981, 0x30144afc, 0xcc4dd20b, 0x1e5e2fd9, 0x82e43602, 0xc38a4203, 0xfbb06be2,
+    0xb383d12d, 0x5a1f8105, 0xeed8039b, 0x0f995805, 0xad196f7d, 0x05313205, 0x1f23a5e6, 0x1819d912,
+    0x767e90d3, 0xa1f6a436, 0xce2e0a72, 0x0becddc9, 0xdbf4bb53, 0xf6364dad, 0xa0107642, 0x61ea34f3,
+    0xe3d0f320, 0x7a600ade, 0x80f384bc, 0x2f90e323, 0x90ebb66f, 0xe070733d, 0x20351af7, 0x7b8c86ff,
+    0xd751a6a1, 0x0053c31c, 0xe8dc4e15, 0xc0a3fbc4, 0x27c87c7c, 0xe943a547, 0xa37b5009, 0x46a7af9a,
+    0x4ae18c6e, 0x1912732b, 0x05a63449, 0x783161a9, 0xa2e2d06a, 0x8d4fe20b, 0x71760c99, 0xdbb8577a,
+    0x18946515, 0x3629241b, 0x8a039798, 0xb163546a, 0xd2b35192, 0x9bf1c5fb, 0xc50235b9, 0x133a66e8,
+    0x25dc9b0e, 0x5a96117d, 0x641b68c3, 0x4a7c823b, 0xb45553cc, 0x09702caa, 0xb00e26b1, 0x1d881747,
+    0x0c4a832b, 0xc58d7dad, 0x4a38bbb0, 0x20d85b64, 0xcb0fe43f, 0x017e5ef3, 0x21bca75f, 0xd59bd85a,
+    0x3c56aa27, 0x97c97ab8, 0x7144a531, 0x315f4cae, 0x25f5d24e, 0xd4495731, 0x556a8bb9, 0x1c672e1a,
+    0xa05b0428, 0x5019bf35, 0xd35bebdd, 0xa9174a45, 0xdab50ae0, 0x5184f226, 0xe4922bcf, 0xe49ce9bd,
+    0xa639cf23, 0xbca2db4a, 0x74c71cf7, 0xae2b291b, 0x80db51f0, 0x5514bb02, 0x5ece3c7e, 0xf6f21eba,
+    0x4f4e53a6, 0x8f020ad1, 0xe3b8b789, 0xf5a78234, 0xcd55e030, 0x64093d99, 0xffdf08e6, 0x198841d8,
+    0xc4d85e98, 0x39efa66b, 0x401a6517, 0xff6718b6, 0xad3fb6c1, 0xa3039f88, 0x21862fb5, 0x2f2a15f4,
+    0x9e70d085, 0x6d3c8cc7, 0xb1fc8096, 0xec6d4a93, 0xe887ac99, 0x352d6447, 0xbe42711e, 0xd8d8ebc5,
+    0x5302922d, 0x08892ea0, 0x21093752, 0xb5dbbe78, 0x64e88a96, 0xd94b0a29, 0x51388e3c, 0x5c80e565,
+    0x848d5abb, 0xa0ba14a0, 0x56f5ba01, 0x0efefdd7, 0x411b7de9, 0x97deb5d6, 0x14710e83, 0x0d591c57,
+    0xabd360ed, 0x0367bf7d, 0xc0c816c5, 0x82b8fe1f, 0xb8d8e18f, 0xbf3ff395, 0x935eeeae, 0xa9a9e791,
+    0xe7fdbdf6, 0xa6251de3, 0x7237363d, 0xd87c8094, 0x43fb7650, 0xcfbe1477, 0xaa5c2bb8, 0x7d48856f,
+    0x022b3d95, 0x58d11de6, 0xd6690ea4, 0xf8a8cc96, 0xe2672849, 0x82e2dce9, 0xbe791541, 0xdfe7ae02,
+    0xcec10396, 0x70bc304e, 0x4adc754b, 0xddff1068, 0x0e22161b, 0xe0b8984a, 0xefacd651, 0x5fe14bcf,
+    0x21a27629, 0x9af2c51c, 0x6d20a416, 0x80d63b8e, 0x81bb14d4, 0xf4641c14, 0xd0034602, 0xb90a8374,
+    0x53d5a424, 0x86b8b9e9, 0xb263a529, 0x98570db9, 0x0d87e69a, 0xd459d846, 0xa343365c, 0xd4028337,
+    0x073ae1f2, 0x6b3d81bb, 0x755d316c, 0xe1f5de44, 0xe05a503c, 0x3a15ac36, 0x918002e2, 0x91a29636,
+    0x081bfe59, 0x79dd3597, 0x6b9a30d7, 0x40ce1de3, 0xf549711a, 0x28dbe3bf, 0xd9eb5ec4, 0x603ded4d,
+    0xb8cc527b, 0x565f6f1b, 0xe49b7283, 0x4d732ca3, 0x9b473522, 0xadcdb7c6, 0x326af5ed, 0x142c5b23,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0226156424291633194186662080095093570025917938800079226639565593765455331328 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ac, 0x8082e784,
+    0x00000000,
+    0xc3d1babb, 0x05e19c90, 0xbd5b172f, 0x850fbc16, 0x0f2e9c8e, 0x62296261, 0x200cd613, 0xf3220f72,
+    0x92858cc3, 0xba35932e, 0x36e612ee, 0x90d80757, 0xb0601e98, 0x47c36f05, 0x7834a82c, 0x4956c416,
+    0x4145f32d, 0x8494f9e4, 0x1c8d2dca, 0xa445a46a, 0x1a671179, 0x506a7930, 0x5265eca2, 0xaf8f9f98,
+    0x9889fdb7, 0xfa804c67, 0xbdf51660, 0xe235ccf8, 0x647be56c, 0x337cef85, 0x3faf8a07, 0x9a88ba47,
+    0x972d9314, 0xa9ae2b84, 0xac042b36, 0xaed47474, 0x03f86a30, 0x20f3915f, 0xb7e5ec8e, 0xd8e4dfc2,
+    0x858c9979, 0x063c1cd1, 0x5be752ae, 0x624585bd, 0xc0736966, 0x6176a6b8, 0xe85c9468, 0xff7e14fc,
+    0x062a32d1, 0xb8e4b971, 0x5d58b8a1, 0x85b904cb, 0xf53b7b4c, 0xf9c98c14, 0x2ea3251a, 0xa0efa819,
+    0x9684ff81, 0x747d3a26, 0xa9e706be, 0x7137d7fe, 0x3e5dfe14, 0x670140c8, 0xa7255399, 0x9b57a846,
+    0x9fed0023, 0xeb5dc030, 0xffdeb423, 0x584331ce, 0x4a38d4c8, 0x77e703d7, 0xdd16249f, 0x0e206011,
+    0x56cf5c60, 0xdca79378, 0xf19b53e8, 0x58c45685, 0x55a71697, 0x7c4d55bf, 0x07568816, 0xbd4e77a7,
+    0xf49ee9cd, 0x6fec1c78, 0xf0e11968, 0x59c73384, 0x7b638a94, 0x97c95490, 0x9065811c, 0x250ceeb4,
+    0x90d042b2, 0xcb9d62ee, 0x75fa406b, 0x6058b70a, 0x920a65b4, 0x6ce90886, 0xb4d45289, 0xa4227da8,
+    0xa3411a55, 0x72366f0d, 0x2ae20268, 0xea59e5cc, 0x73954755, 0x97f348ca, 0x874ce3df, 0x308f90bf,
+    0x7eff83dd, 0x3706e686, 0x5c8d2089, 0xdb900a5d, 0x337c443e, 0x5101662e, 0xd0c5e03a, 0x7fed6e6a,
+    0x4d6ab6e4, 0x2a388216, 0x734cef73, 0x1a84476a, 0x4912e31a, 0xabfc6bd3, 0x5b23913a, 0xef5e2b25,
+    0xc2693901, 0x5863610c, 0xa9e0a088, 0xd2ddc123, 0xb213b251, 0x35156b86, 0x0dbf26ea, 0xf6499c49,
+    0x7e4be592, 0xa4ceefb7, 0x6ed844b7, 0x59457206, 0x0075f8e7, 0x880e88f8, 0x223c20f2, 0x31b81aa7,
+    0x238aadcd, 0x69ab2fe1, 0x3e097c88, 0x7fa01fbd, 0x3d6015ba, 0x79973475, 0x54e185a1, 0x77ee3be0,
+    0xb5328779, 0xa2f84453, 0x31e27601, 0xd4332f9b, 0x782a30aa, 0xa0910b40, 0x461f9cce, 0x847c2391,
+    0x52a73f1a, 0xd8e190f2, 0x7d841e32, 0x6f042e84, 0x57e7a7ae, 0xaad24720, 0x522602da, 0x2f1cf0cb,
+    0x271caf9f, 0x62d3de91, 0xfc459b5f, 0x22b465c5, 0x4d40c7fc, 0x440ff927, 0xdfa7e2eb, 0x4b8b2f7e,
+    0x211eb608, 0xdb9334ee, 0xd23e07f0, 0x9db93112, 0xc4bb48c6, 0x8dc18d23, 0x6a90ea89, 0x4eda108f,
+    0xd2b6f1b0, 0xf4ca2ad0, 0xaa28662f, 0xf024ea09, 0x4eb9e504, 0xad55f076, 0x1810e950, 0x35922ecb,
+    0xf51c3fbb, 0xa8d96a61, 0x7fbaa9f9, 0x9385898b, 0xa2afba36, 0xa672e0ac, 0xc068b0e4, 0xd20dba6b,
+    0xf4f44fa8, 0x98ab8408, 0x4785ae5c, 0xc325a0b1, 0x8277a333, 0xbc4bb1f7, 0x7f1b1e13, 0x8033c509,
+    0x79162671, 0x056f82e6, 0xf92bfd04, 0xeefb436d, 0x0848073d, 0x26c6cbbf, 0xef210131, 0x38c59aee,
+    0x0bcbc223, 0x5f60fa69, 0x1afea96b, 0xa2501f2d, 0xaf9c5b7c, 0x383306f8, 0x242f6638, 0x5c75652c,
+    0x8e8d5c55, 0xf486d399, 0xb886a6d1, 0x66a37336, 0xf618cf25, 0x77b6e507, 0xd5a09762, 0xc3cb1427,
+    0x701af887, 0x6141360e, 0xba37d95f, 0x907e25e9, 0x2ba6bbc3, 0x1fd4b18c, 0x74563c44, 0x8d7e86d9,
+    0x6b5a74b7, 0x41818313, 0x98715af6, 0xe037fe26, 0xb70e8066, 0xf7e39a24, 0xac5d7663, 0x4c569a2d,
+    0xd27b1017, 0x18e84de5, 0x05d82ddc, 0xd3469ee5, 0x517baeea, 0xc4f7a0e3, 0x96f4fe37, 0xc4c9cd75,
+    0x519c829b, 0x6259f71f, 0x1925e91e, 0x424e4cdc, 0xff4af65c, 0xdb19d330, 0xa060876c, 0xcf126606,
+    0x46e0f5ea, 0xb64f7598, 0xd16305a5, 0x9bf81372, 0xe155c095, 0xd045a710, 0xd7d546dd, 0x863d4830,
+    0xee24591e, 0x2cc60f1a, 0x1fb98524, 0xe89b16fc, 0x7fade3c3, 0x5d95e0e8, 0x2434a0dd, 0x167776a1,
+    0xf43e6313, 0xd9713f7f, 0x0a3a2198, 0x65d81ec0, 0xbe20b744, 0xf66f1faf, 0x8867ac8b, 0x70fae7e5,
+    0x963a5b27, 0xde98a9c9, 0x19457715, 0xc3754ac6, 0x1259dab7, 0x0a256b9f, 0x2ac33ba1, 0x227b6e6f,
+    0x45988717, 0xa665daf2, 0xaa5bad28, 0xb3313128, 0x72672fdf, 0x54d62266, 0x7f2cc5b4, 0x229cc962,
+    0x755a005b, 0x54c24762, 0x136abcd7, 0x7bbdfc93, 0xce29c2fd, 0x41b46636, 0x3c0897b7, 0x44707754,
+    0x1aec2426, 0x8b92c535, 0x62d8c326, 0x3b8a094b, 0x701ef6e7, 0xd577cc9b, 0x4be93d92, 0x7c8869fc,
+    0x6bfb98c3, 0xc4e59944, 0x95c0eacd, 0xc47c7f40, 0x86fccdbf, 0xf7f3048f, 0x730cbed0, 0x2fde37d5,
+    0xcfa91ee3, 0x334b03ec, 0xb78291bf, 0xd8f7a46b, 0xf8094ba6, 0xc8c27ddf, 0x2801ba93, 0xe8253da9,
+    0x95bbd0d0, 0x080e2bed, 0x1e66fd7a, 0xeddeb240, 0x58bfe373, 0x6866d7a6, 0x6da6ff58, 0x39c0ba50,
+    0xb98abe6a, 0x9dc0200d, 0x9bed4500, 0xe309878e, 0xb4a12e69, 0x4bb95d5a, 0x657c6182, 0x2585ede7,
+    0xce8146d3, 0xe46baa73, 0x1c5ac9ec, 0x0ee4317f, 0x88861475, 0x831164a7, 0x66d347ed, 0xaee8741c,
+    0x4a4d54b6, 0x549c7be3, 0x662f67ca, 0xa1611d20, 0x6ff1a5d1, 0xfbbe76bf, 0xab44cabf, 0xeb776b83,
+    0x310bbcb1, 0xcecb5b32, 0x06e45723, 0x8e2470c5, 0x554b35a4, 0x021bdf6f, 0xb2d42d26, 0xc9eefc85,
+    0x494981a4, 0x08c1d195, 0x28836eea, 0x5e8d7725, 0xc92c07fe, 0xe42cf61d, 0x093cb8e8, 0x5ef569ac,
+    0xf250abbf, 0xc613ddb2, 0x2931f0c3, 0x4c371320, 0x4544b8fd, 0xd5667a15, 0xd42b7431, 0xca913162,
+    0x82b8ba85, 0x7bbb7e85, 0xd93ef637, 0x90fcc770, 0xfb6f1f76, 0x00948945, 0x92233d2e, 0x2506ee1d,
+    0xd88a4cd4, 0xaeb77740, 0x0b6f93a7, 0x4aff1111, 0xb0490b77, 0xe1d8efd2, 0xee38afb4, 0x19d257d0,
+    0xb7e0518b, 0x72e8102a, 0xbaa71504, 0xf8854f85, 0x7e1081cb, 0x80fa4a01, 0x0e464be5, 0x97c550c4,
+    0x12991f70, 0x19d27ef4, 0x75070169, 0xa303d6be, 0x9ea69457, 0xf290cde9, 0xc0e79fb2, 0x33499691,
+    0x85d53ea2, 0xd3a39beb, 0xa3a1b01d, 0x64ba276d, 0xe9953b0e, 0x1770bfd8, 0xdad05b0d, 0x97d8d3a9,
+    0x422cd2ef, 0xe9bd5151, 0xe5646efa, 0xd3082f64, 0xeebf6248, 0x60c2f983, 0xeafa3653, 0x5d3feba5,
+    0xfc4d3cb7, 0xc4bb0bb4, 0xcbe58bdb, 0x52f5e85a, 0x2a7bd379, 0x977ab259, 0xc1d07e1f, 0x47c5f882,
+    0x1a489620, 0x1c548b55, 0x5a5885a6, 0x8901aa9a, 0x2bb74e5f, 0xa1c769bd, 0xa0f9f044, 0x0ba68ffb,
+    0xd64a22b9, 0x11ed2f59, 0xbb1fe698, 0xb5dafeee, 0x3d7d9bbf, 0x60d23c9d, 0xfba2db33, 0xdec4685d,
+    0x2268d6d0, 0xb7c3b253, 0x82fc3dfc, 0x31de241c, 0x30ab5958, 0xd0df74a6, 0xc5488c33, 0x610933d4,
+    0xd63a60e4, 0xb417fb1b, 0xdf5edcb6, 0x8e13060d, 0xc289edf9, 0x213e6065, 0x34d519ce, 0xa01f6c7c,
+    0x324f1840, 0x3afbc0d6, 0x96fd27f2, 0x3839e6ff, 0xe03fd915, 0xbe836d4c, 0xa60f662a, 0x2d1f98b7,
+    0x4e992a9d, 0x6b4d8d94, 0xab39458d, 0xd51231e2, 0x0e79c811, 0x013a1e76, 0x006afaea, 0x501683c4,
+    0xd1dc4566, 0xc54ad62b, 0x8f645e5a, 0xa419753d, 0xcbfcd904, 0xb6fc9cc1, 0xe1098861, 0xe4ea5dc8,
+    0xbfca1f32, 0x71aff38a, 0x6390e8fa, 0x569f7bc4, 0xb22debc4, 0x265f1b0f, 0xab37a393, 0x3fc9e10a,
+    0x3ff241cd, 0x40dd5314, 0xb8447387, 0xfdc7b742, 0xe1b4fc92, 0xca8a16c5, 0xf2ffbf7d, 0xfa8666e7,
+    0x646079d4, 0x892fc5b0, 0x5f34c8d3, 0xfc2c1beb, 0x2f5c437a, 0x78f74e61, 0x0ce67ac4, 0x946a8a65,
+    0x8d89fe6d, 0xaec95fef, 0xe1b78c10, 0x11a82058, 0x6781ab75, 0x3f82f004, 0x42767ddc, 0x517936fb,
+    0xbf686085, 0xccca1d4c, 0xca237658, 0xdb45986e, 0x7914b3a8, 0x8a445589, 0x8e467543, 0x83a9b9fe,
+    0xf44f26a7, 0x02683af5, 0xe34b849c, 0x6d926d98, 0x82e73e01, 0x3e9d7923, 0xbbfebb61, 0xd602912a,
+    0xccf09952, 0xe9681fcc, 0x991be4de, 0xd3b6a42d, 0x2a47fe26, 0x38111686, 0x49177d6e, 0x409f9b1c,
+    0x8cea6736, 0x4185de17, 0x4ff97f05, 0x85222685, 0x90237021, 0xe2d40980, 0x8029cf05, 0x3a6c95d7,
+    0x501e053c, 0x65cc7bfd, 0xdfe6d0cb, 0xe495b10c, 0x60fdde6e, 0xfa7181c8, 0xcc4194dd, 0x1d50d30c,
+    0x14733606, 0x7b7acf21, 0x9d1b27a0, 0xf490d288, 0xc5646fb8, 0x8313de02, 0x7b93e7ef, 0x39a87335,
+    0x7b523adf, 0xd6ee09c1, 0x0d115bfb, 0xada657d3, 0x0050d6e1, 0xa0d01e89, 0x29542f4d, 0xe71db488,
+    0xd0055669, 0xfe456f1c, 0xddccd43c, 0xb1098d2a, 0xc70f8a1b, 0xbde9a187, 0xb0b9281b, 0xea63fb99,
+    0x5c7363c6, 0x60818aa9, 0x4fd73aa2, 0x251e642f, 0x1df0cbd3, 0x907fa275, 0xa7017f88, 0x569b8a46,
+    0xa659aeab, 0x9e744ce6, 0x4507b707, 0xf7202ba3, 0xf0e10034, 0x7b668408, 0x78e1189c, 0x04a85528,
+    0x4880e12d, 0x7c876b44, 0xc8737886, 0x39d866fb, 0x1acb5342, 0xe043b11e, 0xf699963d, 0x3e220ac8,
+    0x073931ba, 0xaac45b2e, 0x95303bd8, 0xe5c467f8, 0x22ef13db, 0xb75333bb, 0x1d067cb6, 0xd82ee069,
+    0xd1027342, 0x6418a8fa, 0xdda809b6, 0xa386b108, 0xd39c302c, 0x26aa2797, 0x2c8a0990, 0xc78632c7,
+    0xdcae639a, 0x415fa036, 0x49d8d680, 0xf56cc4cc, 0x50925228, 0x1bbd11fb, 0xdc6031b9, 0xb8a19c3c,
+    0x85264cf7, 0x95faaf4f, 0x7fa0e670, 0x2b77d579, 0xe9d37ad5, 0x29f95819, 0xafcdb2fc, 0x0fd3d796,
+    0x8ebc10e7, 0x61c4d437, 0xf18b45c9, 0x25252ce6, 0x3754ba77, 0x95144f7e, 0x868de66d, 0xc03ee9e6,
+    0x93018b14, 0xb5351160, 0xbe59a00a, 0x668cea67, 0x0f691b1b, 0x364708fd, 0xac290e78, 0x651d4109,
+    0x252ba1c2, 0x0c35bc81, 0x881d25e9, 0x9be326ee, 0xbc785f63, 0x3d34c87a, 0xdbfac695, 0x636af947,
+    0x286f0621, 0x3835e26a, 0xfe0b2f81, 0xe0b2a347, 0xe55c9115, 0xdb363384, 0xfef630cc, 0x00638ad7,
+    0xc8635922, 0x464eff77, 0x0ed3f8ab, 0x8ff9c7ef, 0x4cdfc342, 0xbf50b475, 0x7e1fa81b, 0xbf76cfea,
+    0xe0e4da42, 0x2eb7ae6e, 0xe1104018, 0x7d8d7803, 0xf58b6675, 0xa972f567, 0x7875d6e6, 0x5ecc7160,
+    0x8007f09e, 0x68939a4b, 0xabf6d3f6, 0x40db9627, 0x47d3b92e, 0x5c5002fb, 0xf90a25eb, 0x62080dc6,
+    0xedbcd7af, 0x596052e3, 0x82fb9b34, 0x9bcfcd26, 0x08d74ff9, 0x391b9981, 0xc35fcdab, 0x232b4766,
+    0xa452e882, 0x93979e8f, 0x0b3ff30c, 0xddb8a8fd, 0x24f3f163, 0x4ac23ee8, 0x4dccc90a, 0xf0bc4dfd,
+    0xa7360693, 0xf568ffba, 0x24f9c7fa, 0xdc712bb5, 0x7f44e847, 0x984f1195, 0x5ea49bf0, 0x45214638,
+    0x75028554, 0x4042ab7b, 0x79b64cbe, 0x8209ffcb, 0xc7b66d0f, 0xb887e6de, 0x5bdd6e17, 0x7752c47f,
+    0x87f01f11, 0xb576ab5b, 0x2ff77984, 0xa9e08aa2, 0x91e2ca5f, 0x4337b2e3, 0x8da60926, 0x6c4b4f90,
+    0x2f1fe3e3, 0x80a69f9c, 0xe5632b0a, 0x96b31c57, 0xe27e476d, 0x05d8a2fa, 0x3cc3e183, 0xe1e22ac8,
+    0x67e79849, 0x309dfa5d, 0xd8a89652, 0xaa440cae, 0x540192cf, 0xdd52de08, 0xb728f76f, 0x510ec8bf,
+    0x92e3a133, 0xc3fa96c1, 0xaf747aa0, 0x5bbe5743, 0x7f67f08a, 0x629ca2a6, 0x26586608, 0x4324c9e7,
+    0x581178d5, 0xd4d0e774, 0xa1f5f3cb, 0x142c924f, 0x8c61123c, 0xe59d84eb, 0x6ebb863c, 0x31333441,
+    0x794d7795, 0x0930cb1d, 0xcda02990, 0x9688ba21, 0x681527d5, 0x2709331d, 0x0f36b982, 0x6ac305ac,
+    0x2028a37c, 0x3f2bea01, 0x7ce0b643, 0x84246130, 0x4e226a4a, 0x46db0fe8, 0xb26bad30, 0x815c6174,
+    0x73ac1177, 0xda59c77b, 0x29a2f7f2, 0x98a2f84e, 0x5e007505, 0x78d69b63, 0x52735e37, 0x59d09224,
+    0x6efca5ef, 0x8671629c, 0x610a0b81, 0x1c7db2a6, 0xad455a8d, 0x68faea4d, 0xe6daff67, 0xc53b6ae2,
+    0x83d793e6, 0x47eef872, 0x62e05517, 0x9f1eccb3, 0x83592014, 0x71544a7d, 0xc7cb2bb2, 0x28ef2817,
+    0xbe7801bb, 0x5c30f508, 0x8a66aecc, 0x01e72479, 0x58461655, 0xfcfd02a8, 0x529ef697, 0x7d635a8a,
+    0x684d6ba0, 0x8cf0222f, 0xf9b53af9, 0x34c46173, 0x3d27c962, 0xfb59ce87, 0x6d6caae0, 0x1fbfbf98,
+    0xa352f4c3, 0x1f9f5810, 0x207cf715, 0xf6f5b060, 0x996863a7, 0x5e08e329, 0x21dfef74, 0x63e44185,
+    0xc9632042, 0xa6f7aae2, 0x3d1b40db, 0xa7e4189e, 0x0f74e18e, 0xbbec989e, 0x498a86d0, 0xd5d0526e,
+    0x4c5ef765, 0xd5146367, 0x3682379f, 0x95936225, 0x434a4c2e, 0x2e7df1dc, 0x040b161c, 0xf885ed28,
+    0x026dea8e, 0x508a9896, 0xf68f3bbd, 0x501f4c78, 0x81ac6461, 0x2cdf76ec, 0x1ebeba7f, 0x0b8249f4,
+    0x16fc782b, 0xec758a68, 0x4496885f, 0xe690bbd2, 0xc52f9bf1, 0xed94e416, 0x3d98ddbe, 0xa76f7862,
+    0x3991fc99, 0xbb1e2cbf, 0xbc4b868c, 0x24208b40, 0x32c11643, 0x1e07fc29, 0xadb1fdfa, 0x2e1c0c2b,
+    0x08548fa5, 0x5bbb3d66, 0x50b658fd, 0xe22a3bdf, 0xcd0df905, 0x42381c8c, 0x499beec8, 0x2e99fc32,
+    0xf5dfda99, 0xd08f4153, 0x6a80dd20, 0xa04b1f33, 0xfebe8db9, 0xd0505416, 0x91a0cd68, 0xe5250a4f,
+    0x5db13761, 0x733a7915, 0xcfa37180, 0x0a54254f, 0x7cb592fb, 0x45b4e8fc, 0xfe32c178, 0x4dd63a37,
+    0x3386d9c1, 0xac9750d8, 0xa79ec55a, 0x9688a862, 0x0013e05f, 0x93d0ecbc, 0xd30080ea, 0x4d9406b5,
+    0x1cc58c81, 0x8b498426, 0xb92f276f, 0x1058e778, 0xb48eb316, 0x97ea822a, 0xfed56024, 0xb2915969,
+    0x361b4ad7, 0xe37df65b, 0x88483f7b, 0x97ff4b83, 0x4b3a956a, 0x66738570, 0xeae3b691, 0xf1acd28b,
+    0x1242334c, 0x8231837c, 0xbe0017be, 0x31482661, 0x01129bf6, 0xed74d777, 0xd6e61b09, 0x0d0ae53a,
+    0x365199f5, 0x88c57053, 0x8ed1cf7d, 0xd0da966d, 0x548cd1a6, 0xe153c9ba, 0x0cf05804, 0xba33e561,
+    0x11008099, 0x7414de7b, 0x5d535d3a, 0x7031addf, 0xfd46d703, 0xa905a0f9, 0x35992098, 0x0c0453d8,
+    0xeee41b9d, 0x0e162a5a, 0x99429e58, 0x01917513, 0x205dc0b7, 0x2f6b2e87, 0x1492475b, 0xf547a19f,
+    0x6ef5a7f3, 0x0b5af339, 0x7b6b1563, 0xeebd68c9, 0x15915e9c, 0x0d0d1a2c, 0xc3d67335, 0x623768e1,
+    0xc84706c8, 0x3ed719a6, 0x46520c6c, 0xea8703f9, 0x2e5930da, 0x85cd124a, 0x61cc1963, 0x8fc23bb1,
+    0xaeed660f, 0x19a2b772, 0xbb1d51ef, 0x4224f0e6, 0xd93c23dc, 0x7fd20fdd, 0x20d23527, 0xd7189e47,
+    0xde7a0ab6, 0x5d8ef7fc, 0xbe71ef7f, 0x2ea06ea7, 0xe0247056, 0xad912951, 0x595e428d, 0x3dd1e676,
+    0x2593da93, 0xd1a1901a, 0xc112bf1d, 0xd30926cc, 0x2f728049, 0x0b22f44f, 0x2e5449f9, 0x40e44412,
+    0xf1b14186, 0x7e7a3dc7, 0x2cfce6ab, 0xa72d5086, 0xd982de26, 0x570a6165, 0x79b7d2df, 0xc31d3f02,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0113078212145816597093331040047546785012958969400039613319782796882727665664 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db56, 0x404173c1,
+    0x00000000,
+    0xdfe58db6, 0xa242f0f1, 0x8bec151d, 0xca4879fb, 0x9f5d90ae, 0xc33bd628, 0x020d5e40, 0xcefa9e7e,
+    0xfa995b13, 0x986c752e, 0x3e110036, 0x1d15b29a, 0x723984d0, 0xe9711754, 0x02bb9d24, 0x9da52f48,
+    0x5a517749, 0x1b161a49, 0xd5d7dc49, 0xdca04357, 0xe1ce3607, 0xcc928d5e, 0x901d362b, 0xc35e67f0,
+    0xa769a47e, 0xbcfee986, 0x55afc3e9, 0x879dfbef, 0x5052e8f6, 0x2705e134, 0x1ca2a996, 0x0b6dbc58,
+    0x66821f58, 0xfc73c695, 0x1e9db346, 0x30d4c58a, 0x8aff31dd, 0x97a64153, 0x20ca7df3, 0x204ec4f5,
+    0xa302af02, 0x7f512b74, 0xc4d0b6c0, 0x1fd1b40a, 0x2375f701, 0xf4061657, 0x448b27de, 0xe51fbd3c,
+    0x4f5b8ee7, 0x5d5596d2, 0x5bb8c765, 0x7bd301df, 0x09cd02dc, 0xb4f02fc7, 0x79697e18, 0x4c01d70b,
+    0xa6bba432, 0xf3cc8ce5, 0xb4728a5c, 0x727bd3b4, 0xcf4aa5e7, 0xad7031c6, 0x660cb9df, 0x454fc21e,
+    0xa800dbfa, 0x90085ecc, 0x1672a31c, 0x9b46151c, 0x18caa754, 0xf1f840d0, 0xae06d7d0, 0xaa135a76,
+    0x08590588, 0x6166f313, 0xbdbfb1ce, 0x58fa89cf, 0x92985477, 0x46301c68, 0x43dc15aa, 0xf404734a,
+    0xa5c89cbb, 0xc6f8b3a8, 0xdde1cd44, 0x31bf00b9, 0x47697d29, 0xa85aea3c, 0x5a03224c, 0x9e3b6f8b,
+    0xc2bdf0e2, 0x1fe7fa9a, 0x757ad940, 0xea73f736, 0x376fd93d, 0xb5220f55, 0xbddd1079, 0x7b54a7f4,
+    0x01a2eae8, 0x1013d366, 0x0a286d0d, 0xb364f274, 0xd7329406, 0x5c25454a, 0xdd994dfb, 0xab14b74e,
+    0xcdb74e19, 0x783bed33, 0x7366938d, 0xf1a1161c, 0x86c37518, 0x0f0d0eb6, 0xbe6d223f, 0x1978d4c3,
+    0x549daedb, 0xbf2839a0, 0xd67118d7, 0x99ffa507, 0x8a91a0f8, 0x0216d650, 0x68d4dea4, 0x1c03f27d,
+    0x9d113927, 0x631b7efc, 0x561b4311, 0x9007f2cb, 0x7799617a, 0xcba72ea5, 0xea87d8fd, 0xb0ed2902,
+    0xbf9987da, 0xf54ec740, 0xd37ef383, 0xd935bf1b, 0x8b2f1b12, 0x4e389ee1, 0xf1bbdc69, 0x986e53d9,
+    0xc00164c0, 0x694650d3, 0xe0dd9961, 0xa46d52c6, 0xa4cb27e4, 0xa1f9d4df, 0xdc5ab99c, 0x9463d3de,
+    0x27294ff7, 0x30269c17, 0x113c906b, 0xa48de0c7, 0xf90f43c2, 0x8116b755, 0x93fdb0a1, 0x54bb3fc2,
+    0x7ab8e45e, 0xd38989b3, 0x86094d78, 0xfb9e7ba3, 0x575d82dd, 0x31883feb, 0x8eea650a, 0xe69d147f,
+    0xcd6694da, 0x5bba6e27, 0x45f58ba8, 0xef4ff381, 0xfcd3757b, 0xc21429d2, 0xfeea7304, 0x6067126c,
+    0x4415642e, 0x3b122626, 0x40961314, 0x0c3df865, 0x0ad534b8, 0x9210f1a0, 0x22c14ca1, 0x999a9440,
+    0x4ec90075, 0xe25855c9, 0x36d1d3a2, 0x40f183b0, 0xa9f40262, 0xedf8bb7f, 0x5fb6b84c, 0xba965c63,
+    0x4baaa17f, 0x18be93bd, 0x6b424d3b, 0xf01ab803, 0x51094dc4, 0xf97f1aea, 0xd47175e3, 0xbf82a8dd,
+    0x934723e1, 0x52d4c817, 0xaefa028b, 0xd48cf53f, 0x1332eac9, 0x2e0bf0dc, 0x07dd0333, 0xf19f02d1,
+    0x8b5ec77c, 0x8d29b51a, 0x0e7d0131, 0xdfa49c82, 0x742780ab, 0xb6a299e2, 0x70430b89, 0xe0505baf,
+    0xd422b175, 0x94a7aaa9, 0xa7339bb7, 0x32e05804, 0x890915cb, 0x376bd9a4, 0xc376971f, 0x7f7e3895,
+    0x43f24ee6, 0x3ed8f8e8, 0xcb2f896c, 0xbb3be840, 0xcebea471, 0x78922bf6, 0x2551accf, 0x901d1ee9,
+    0x048771f2, 0xbae34c8e, 0xb4bcc478, 0x1ed85b40, 0xda14df6b, 0x74d113f2, 0x4124c760, 0xe06db788,
+    0xb90399a4, 0x72766798, 0x0367c9ce, 0xd5c629e9, 0x70780120, 0x5d1db871, 0x14a5a1c0, 0x59eeeb16,
+    0x13c39ff6, 0xf7daa1df, 0x244ede88, 0x0dfac16f, 0x84f7c79d, 0x25b1e2dd, 0xc9399570, 0xe3f92b25,
+    0x90f6124d, 0x456834f2, 0x13197ee1, 0x29bb779b, 0xfd5bbe28, 0xddae01a4, 0xab9632b5, 0xb5f10ad7,
+    0x86a702ac, 0x29dc36e3, 0xba2c77de, 0x7fde03a5, 0x64ee2e21, 0xadfc9416, 0x7a12b7ed, 0xa5cb7b6b,
+    0xc7fd607e, 0xbf196d43, 0x6716db53, 0x7e8ec1c9, 0xb00e2f28, 0x41f43ae4, 0x4571edf3, 0xf8d77c48,
+    0x2882d91d, 0xe4d00829, 0x23d457c8, 0x6a4841e1, 0x227053c1, 0x4d23ab1c, 0x52e75e98, 0x4c1fc6e9,
+    0x0922c1fb, 0x36f1ee58, 0x3a0ad738, 0xbdba7946, 0xab7ad2ed, 0xea559a6d, 0xbc96660d, 0x5ec70648,
+    0x48b24929, 0x2bfe1e81, 0xdd6e9e4c, 0x1090f0fd, 0x88319441, 0xaadb6eaf, 0x11845052, 0xe078a805,
+    0x6f6ec79e, 0x79381013, 0x43fbfa35, 0x0170acbd, 0xa9503e42, 0xc4fb72b1, 0x0f593ccb, 0xa3f82ef2,
+    0x093f4b95, 0x7e8e2043, 0x6a02aaa1, 0xddb7c2a5, 0x646285f5, 0xc110b086, 0x796e36ca, 0x116a7ff7,
+    0xe8b154f1, 0xc08602de, 0xe9be081c, 0xca52a4ca, 0x3b82fc61, 0xeb680a93, 0x0b74e39c, 0xfde8128c,
+    0x9b22716f, 0x99dd85a9, 0x47f64159, 0x7e61a945, 0x33f390a7, 0x28b25e95, 0x28b56e26, 0x8918ad6e,
+    0xd4e992df, 0x675e317a, 0x9f8cacd1, 0xbe782d14, 0xf64b2360, 0x2466b5cf, 0x3e3c248d, 0x56ca11b3,
+    0xe32d0233, 0xbc1f8276, 0x80262a19, 0xd239b5ac, 0xb6709f94, 0xcbe0af97, 0x93cf4386, 0x992c285b,
+    0x1f642214, 0x65526adc, 0xb1a2db92, 0xdd4ceded, 0x82d3ed48, 0xbe41ec19, 0xbe293bcc, 0x60988680,
+    0x5d523a27, 0xce1adc4d, 0x93d1bf91, 0x232a1c02, 0x6dc5b862, 0x57496b71, 0xa5ce1790, 0xd32f2745,
+    0x23bbbaa4, 0x284a1ae7, 0x9922b92d, 0x10d71373, 0x299cc523, 0xc434cb21, 0x383abc4d, 0xa840f08b,
+    0x04434ac9, 0x3ba1dc05, 0x123249d3, 0x117ca7c5, 0x5eea6a6c, 0xe5339bf8, 0xc295ea59, 0x2a15efd1,
+    0xa97df872, 0x576adba0, 0x89f8f4bd, 0xe686dad6, 0xdcae6581, 0xb5d10698, 0x61888636, 0xcb9462cc,
+    0x9c94bb0d, 0x7c419517, 0xd1ea7c95, 0x1e03df69, 0x7d78c66d, 0x27f85a5c, 0xce7c3d77, 0x048ec925,
+    0x47588307, 0x5c1fbb5f, 0x8273d87e, 0xf2a42614, 0x9039ab88, 0x29388d86, 0x6a5b3da5, 0xf350c8d5,
+    0xc22adb38, 0xb1af3257, 0x41f916da, 0x91971786, 0x0d7ba778, 0xbcc09ade, 0x48f6ac31, 0xdf569e13,
+    0xdb5456f8, 0xa181c760, 0xb87707e6, 0xca9cc982, 0x7bfa9a37, 0xdc6efbdf, 0x6d5ff76a, 0x8ec8e98a,
+    0xe09d3807, 0xa95d92bd, 0xad629aa6, 0x263b1bfe, 0x8ee2a58b, 0x5ccfc665, 0xeb3c1faf, 0x48513ed1,
+    0x88b245fd, 0xe08639b6, 0x0aba6fb4, 0x2cf68506, 0x7b65f33c, 0xb242ceff, 0xadfa2e5c, 0xdcab60ff,
+    0x395a9f6f, 0xfe0560f6, 0x5dd3b8fd, 0xe0294dd2, 0xb58ec0bb, 0xe6887ba7, 0x387c6147, 0xfde008c3,
+    0x7fe97527, 0xfe6cb4d5, 0x47a93b38, 0xe5f996a4, 0x273a7443, 0x22f14ce7, 0xdb848198, 0xdb3a3ecd,
+    0x908e7917, 0x05bb003c, 0x2b05aa2d, 0x3e9fb1bf, 0xf4620eca, 0x6c0f085e, 0xd04e93ae, 0x4c4e78d5,
+    0xf3d389fc, 0x4177f510, 0x010d1e2f, 0x244e0e05, 0xa4e61a61, 0x2efe755d, 0x2dd5c9d8, 0x1bd52e32,
+    0x0c0b3c96, 0x586a7c9b, 0xbcf20e1a, 0x382ccf51, 0x75b62416, 0x82e16b0b, 0xc6ca669e, 0xc2d52ad5,
+    0x125c9235, 0x29b39f2e, 0xdfde7e05, 0xf2691143, 0x570b2fe7, 0xe89d2946, 0x68568c03, 0xd586bfed,
+    0xa80b9a85, 0x436b0b59, 0x595116f3, 0x64a9bfc9, 0x293c2118, 0xc68f430e, 0xea8cd53a, 0x946b769d,
+    0x7a2a60fc, 0xd53f5062, 0xee01003a, 0xbef15c89, 0x08dd5eac, 0xb9aebf31, 0x0d8b6072, 0x444e0916,
+    0x8274ec56, 0x5feafd6d, 0xa505924f, 0xa2d86aeb, 0xb8e1e654, 0x3a43cd66, 0x1b2c0589, 0xdb823b6a,
+    0xec0009f8, 0x5a0b920e, 0x25d3e7a6, 0xc38ffd7b, 0x36a42bf2, 0x6cc94263, 0x049e2e2b, 0xf092e2b8,
+    0x8bafba09, 0x2dd828df, 0x8c1bfe56, 0xe490b28f, 0x4fd6b53e, 0x4456f54a, 0x5afb44bf, 0x3224ec8e,
+    0x5ffa3b64, 0x0904b142, 0x1f72a948, 0x152c725b, 0x4763d0d8, 0xeedd7aee, 0xdfc2d92b, 0x755110bb,
+    0x66ae6138, 0xf411ae64, 0xfad69ab8, 0xc13530ec, 0x49e3aba9, 0x59148e8a, 0xaea23c78, 0x95a1b5d8,
+    0xbe1a9501, 0xe8ee9e50, 0x0d22f962, 0xc04428e2, 0x3bc9eba7, 0x807d0f40, 0x33bc7767, 0xa3078c7b,
+    0xfc6b4ba4, 0xaf3d573a, 0x32c16052, 0x381a8d56, 0xef508e62, 0x42033fcd, 0x8b549a27, 0x133e3681,
+    0x1db93803, 0x0614071a, 0x74f687a9, 0xea00cbbf, 0xe26ec17c, 0x0a7f8fd8, 0xfae06c13, 0x75d43cdd,
+    0x84dede2e, 0xd6f711a6, 0xb1f3f908, 0x1c2a70a5, 0xd4484143, 0x0d6da9b9, 0x0a7297cc, 0xac4a7526,
+    0x6fdf8fb7, 0xec82e6d3, 0x6051df7a, 0x70a87ef4, 0x1371f442, 0xdd49b9d8, 0x749adc2d, 0x832c26f6,
+    0x5d967925, 0x7fbcda09, 0xd87bc673, 0x5302c653, 0x16e9f4ad, 0x37eef5e1, 0x8508a024, 0xee3d3eb5,
+    0x114ccda2, 0x18082a33, 0xc25a4d28, 0xd703e91a, 0x76e787d0, 0x7577436a, 0x1f4170e0, 0x8b64c88e,
+    0x9601751b, 0xcd12c9f1, 0xadcea999, 0xee265726, 0x3eb7974e, 0x5cd8d60b, 0xd8146c35, 0x7c2029ee,
+    0x1adc0610, 0x46824691, 0x2180fbd4, 0x04d9011a, 0xc5cabd3d, 0x82b58f7e, 0xbdb1824a, 0xacec2b1b,
+    0xd5df5b01, 0x19053e19, 0xc591589f, 0xca6f4951, 0x6d86bef1, 0x269d64ab, 0xa188dc36, 0xf763a70c,
+    0x06cfe1ed, 0x15d7b96c, 0x00abfd9a, 0xcbede069, 0x54d1bebe, 0x97ff87a7, 0xf3dc1b4c, 0x53f12c5a,
+    0x63d50003, 0x4ca2c74f, 0xeeac196a, 0xf674bc40, 0xf2b40240, 0x73ee2471, 0x437ac647, 0x33590e7e,
+    0xe313485c, 0x675bb838, 0x8fb113f0, 0x236ab048, 0xecb5af1e, 0x05b14b96, 0x366db62b, 0x19e70937,
+    0x33edd655, 0xdf964d6d, 0xe5838ad0, 0x1c900107, 0xc68cdd83, 0x511ce84f, 0x4bf71e14, 0xa0ae9d8e,
+    0x8066e24b, 0x095f0691, 0x31e375c6, 0xded28bd0, 0x83173a81, 0x85bb5ab2, 0x6459ffcb, 0x99c840eb,
+    0x11e99e5b, 0xb94155d5, 0xed35771b, 0xf4bc134b, 0x3c106641, 0x6dea5bc9, 0x918ebd8f, 0x003af0dc,
+    0x50d689d2, 0x441f9b9f, 0xfb53593b, 0x391b1240, 0x08a13ddd, 0x43d5d1de, 0xfa5b887a, 0x61585a5d,
+    0xf60f05a3, 0x46ba3540, 0xd68ad38a, 0x32d02677, 0x073fbb91, 0x2fe05163, 0x8bf0db87, 0xe9cade37,
+    0x5ed02d0c, 0xc1db9d49, 0xa8446f78, 0xdb604df2, 0x854269da, 0x47c6605e, 0x3d77043d, 0xd6be85ef,
+    0x30178da4, 0xa686b43f, 0x2170a7fc, 0x1c395021, 0xc2ee2366, 0x464a5fa4, 0x6a4ac49e, 0x8f0c3f90,
+    0xb60c40a7, 0xd131b015, 0x2a2d4a81, 0x74cfe9b0, 0x40bbb7dd, 0xd4299d00, 0x7e9c3be7, 0xd7d3772b,
+    0x1b1fb2cf, 0x3b30dc2d, 0x3fd00fc0, 0x721385d6, 0x842a8e24, 0x9ee8534d, 0x8ad515f9, 0xca1733b2,
+    0x30320605, 0xa85e170d, 0x721a050c, 0xdb15ede9, 0xf07c0f95, 0xbdc683cb, 0xdfc53750, 0x1b0c3684,
+    0x98275851, 0xe4cea030, 0xd44608d2, 0x16b311af, 0x2cacc314, 0x7b5fcc06, 0x57d96fa4, 0x26f15f1a,
+    0xed7ef566, 0x19cddfbc, 0x879555a0, 0xfe9863ac, 0x66213a3b, 0xd6e113ff, 0xce283c6b, 0x4167ea53,
+    0x7d8c7510, 0xd4b29faa, 0x18afa534, 0x45fe1346, 0x31b24e53, 0x677f5385, 0x0445ca7c, 0x3020a478,
+    0x251107a5, 0xd2e80f84, 0xe73ed4be, 0xf787b2b7, 0x1b95ce64, 0x20876ff6, 0x9bcc9944, 0x7ebec09c,
+    0x6e200ad7, 0xbf492dca, 0x0e6e4a9b, 0xcefff6ea, 0x72a99a0e, 0x84f578bc, 0x720fbc82, 0xf7a82f89,
+    0x42a79aa9, 0xc01e2c3d, 0xcc66e5ab, 0xdfae2329, 0x17279e07, 0x3cbbb281, 0xc0a9eabd, 0x327f919d,
+    0x43b2382e, 0x0caaa119, 0x897f3554, 0x6a18ab5f, 0x2dcfa6b6, 0x10d10aad, 0x1ea550c9, 0x9dda8a37,
+    0x735fe381, 0xea1ef74e, 0x93aedf60, 0x5c2514fe, 0xbe767268, 0xa787950d, 0xc05ff361, 0xbe7ac7bd,
+    0x640d58fe, 0x0dbb9687, 0x31f61979, 0xc55188ee, 0x80f2ba6c, 0x71bba398, 0x82cdb4f6, 0xac1c1d7e,
+    0x109464cc, 0xda5fdb9d, 0xe39f5650, 0x69d601f0, 0x7ff656f9, 0xbc5b2f55, 0xe706e6b1, 0xed03b155,
+    0x146bf9e5, 0x7e02e3bd, 0xb391bfe5, 0xafc54f33, 0x29c9c363, 0x87fdda3b, 0x1b96654c, 0x2f5d9dfa,
+    0xee837a0c, 0x144a7be3, 0x00ca3555, 0x940e1dfa, 0x7da9ceb7, 0x245dbb0f, 0x6ada0584, 0x20e6ca99,
+    0xeea9aa62, 0xb2bb22b9, 0x1ffebd36, 0x4e00c48b, 0x0ed080b1, 0x1cecdb96, 0xb11060a4, 0x07b0bacb,
+    0x4d61831e, 0xea86e85a, 0x0ace6a4c, 0xae4a9cd6, 0x407d176a, 0x092035cb, 0xf9519bf4, 0xe309e5ee,
+    0x7304c0a8, 0x1be1c3c1, 0x3cf2008b, 0xe4a6b757, 0x7724544d, 0xcb6f4835, 0x945c036f, 0x82fac035,
+    0xaf640895, 0x94d8a80a, 0x0b74a355, 0x51aba61a, 0x261b226f, 0x9f1ecbd0, 0x2a7c575b, 0xec41e849,
+    0x44b56f66, 0x5ad468ef, 0xf1f5211e, 0x5f872f1f, 0x67378532, 0x9b858b51, 0x4569b511, 0x23f62309,
+    0xe2bfe4bb, 0x62452ec8, 0x87361349, 0x3e7d7954, 0xdcddc0ec, 0x7027f686, 0x76616977, 0x8d08644f,
+    0x6ec5dd45, 0x3004c6ba, 0x0a8907eb, 0x92716357, 0xbef4ee74, 0x2d64ca71, 0x1d3884cd, 0x73ecea02,
+    0x5c7c3323, 0x4141930d, 0xf103d7ab, 0x8313e570, 0x025094b0, 0xe6750f2d, 0x7024233e, 0xc4657603,
+    0xf1490692, 0xed4f301a, 0x05882605, 0x7a7b233b, 0xdecfe01e, 0x49f6b16a, 0xfff180d9, 0x9fe119aa,
+    0xfbb11a9a, 0xc1f2fa1e, 0x0752656d, 0x59a3d4df, 0xb9839ec1, 0xaa7bc0e6, 0x5b68f69c, 0xabf9a92a,
+    0xa339f50e, 0x7b541d87, 0x50b37166, 0xf1d6969e, 0xbdb17bbe, 0xf81e995b, 0xf94c0d39, 0xfe8e3fb1,
+    0xd9605594, 0x6db91a04, 0xfa260faf, 0x81d5e455, 0x8b249ca2, 0x80365113, 0x90eb3ef4, 0xa108f5ec,
+    0x4451407b, 0x701497da, 0x9ce4133a, 0xf375e70a, 0x3a8206e0, 0x4ce71999, 0xedb9ac57, 0x5b226e23,
+    0x53d84e79, 0x35881ac0, 0x15cce864, 0x4f2130c3, 0xe16ae636, 0xa227578d, 0x9eabb1fd, 0xde6c6d95,
+    0xb69cf7ca, 0x2e064ba5, 0xca239bef, 0x48b19684, 0x15aeab26, 0x5b076e68, 0x10abeca0, 0x341febf1,
+    0x50061fc9, 0xb1635402, 0x16ac1f45, 0x6097f3e0, 0x15516f06, 0x6746f3d6, 0x566c7825, 0x8a10d123,
+    0xc6538927, 0xb9ec1d97, 0x507f156a, 0x7113a6ac, 0x8eca540c, 0x59ebfe1c, 0x1406453e, 0xadf112d8,
+    0xb9108de2, 0x8799fe0a, 0x91eb5120, 0xbcf7ee50, 0xdd3c0906, 0x8ea02718, 0x5d8b64af, 0x65a1ddb0,
+    0x22e511b1, 0xd565645d, 0xae2faba3, 0x65359151, 0x70e62d7b, 0x2afd09a6, 0x080cc8c2, 0xf64b95e0,
+    0x4be3f95c, 0x51f39a4f, 0xcd7a4630, 0x7cf086ba, 0x7207d464, 0x130104ec, 0x7a153318, 0xc18fb302,
+    0xa2ce12d6, 0xe481ada3, 0xfbe053af, 0xc2ec4b3f, 0xfd50d788, 0x35b294f1, 0x4bdb43bc, 0xf4cb0037,
+    0xbfb58d6b, 0xb4d87559, 0x888f5852, 0x41485f43, 0x93047ccb, 0xa5881b17, 0xda70c078, 0xb9aeb966,
+    0x4b6a3568, 0x9fbb25db, 0x056e1c77, 0x4c4bf591, 0x47d44e66, 0xcc4322b3, 0x4906628d, 0xc7c6adac,
+    0x71d8c4a0, 0x913966e3, 0x67b0d047, 0xb6c875f7, 0xdc0f882a, 0xaf4ac5fd, 0xc2fdcfd5, 0xef3c100f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0056539106072908298546665520023773392506479484700019806659891398441363832832 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46dab, 0x2020b9e0,
+    0x00000000,
+    0xa949fe15, 0x8752fc0f, 0xcdb854ba, 0x439b2624, 0x2285eb37, 0xcfa42c0f, 0xdf0ea0b6, 0x7a471980,
+    0x85259c7e, 0x7b3949f6, 0x766f1d26, 0x19d8d85a, 0xfa6f64d2, 0xf12cac85, 0x32f1464f, 0x35d996a6,
+    0x1e59d19e, 0x88bcf835, 0x2b4970f4, 0x3aedb9fd, 0xff94d99c, 0xb6443440, 0x8482e5ce, 0xa2510d17,
+    0xc4b73ec5, 0x0b59f1fd, 0x83913fea, 0xa5841b91, 0x6d21681c, 0x459ba4d6, 0xfcfec327, 0xded977da,
+    0x226091a4, 0xd787a0c1, 0x42e6ffef, 0x135cfaa0, 0x981b5725, 0x82c891a5, 0x044c5b35, 0xe65e6d62,
+    0x52abac2f, 0x70f8736f, 0x91f0c683, 0xe2141fdd, 0xdd410ec2, 0xd09da914, 0x7227c245, 0x8923c01e,
+    0x542e171d, 0x16f23837, 0x9affe648, 0xb3e80450, 0xa1acf3e3, 0x7c543604, 0xcab66356, 0x817b8e66,
+    0x9390fa08, 0x541a229c, 0x50de8ee1, 0xbfc19015, 0x3d5c5738, 0x36b80b04, 0xdae9dba4, 0xb8ad99e2,
+    0xf5047e50, 0x2cc6b384, 0xb6aca730, 0x11e494f6, 0x62c7f4c5, 0xb9fe6848, 0x1e8cb007, 0x87f1c99b,
+    0xb682da45, 0x3ff1086b, 0xf309687c, 0x113576e2, 0x28e21b8e, 0x840d8fd1, 0x6c842d4f, 0x53cda829,
+    0x537c2d4d, 0xc749ba63, 0x7885d509, 0xd16ca04f, 0x10d2c881, 0x4731a7f4, 0x1c6e2a60, 0x04bdf8d1,
+    0xc72a212c, 0xcb69b7ac, 0xf1e67741, 0x2f30bfa3, 0xcd392db2, 0x8cf6a6de, 0x0ec1165f, 0xf6da7083,
+    0x7ac961fa, 0x1b4d2619, 0xdf19e7fd, 0x2c364f22, 0xbc5f2fe0, 0xf4855267, 0xcdc015c8, 0x45df01b7,
+    0x8e2c23a6, 0xac37ed86, 0x3792ba0f, 0x1b86b19c, 0x92eb2e8d, 0x65bd1053, 0x5ab4cc93, 0xfb7002b4,
+    0xf56c46e5, 0x1d8acf3b, 0x4e937086, 0x2a9faf9f, 0xa657a667, 0x877cdd5f, 0x1932ba71, 0x49497448,
+    0x868e1f03, 0xb54443a3, 0x8337d665, 0xf829e17b, 0x973dda3c, 0xb8e74e64, 0xa08138c0, 0xb5f4cd9f,
+    0x24a64541, 0xa0a6649d, 0xc24c2291, 0x1f3ddbda, 0x9c5d48ab, 0x92c40e07, 0x59d12dd7, 0x4c547c1f,
+    0x826988de, 0x8d6f05da, 0x3e7d7ebc, 0x1972e9c0, 0x7fb6fdeb, 0x401924de, 0xbcc7be88, 0xdf99bc77,
+    0x8475cc8e, 0x55bcf34c, 0x0bc129e8, 0xc71e9072, 0x977bfed8, 0xcae5b55a, 0x638cf5b9, 0xcfb54896,
+    0x88dbbafb, 0x2feb18c6, 0xad208fa4, 0x4e116efe, 0xb3807122, 0x110ab348, 0xb3e89800, 0x68577801,
+    0x0b39b1f9, 0x60ea7c54, 0x1b84f85a, 0xcee826ee, 0x46dd3a21, 0xdcb196e8, 0xf6521d35, 0xe8243e69,
+    0x3d3a25b3, 0xc7e08c00, 0x6b4badd2, 0x1eeb7ef3, 0xf657023d, 0xa4d466da, 0x23f0a25a, 0x6b4100d5,
+    0xecb289ac, 0xb3d16858, 0x1b93f684, 0x391ae13e, 0x1a91d56d, 0xac362c36, 0x52e80afb, 0xef0c3b4c,
+    0x9ae0bd8d, 0xad7a1c37, 0x322a9ee8, 0xd7a8fd90, 0x4f7d099a, 0x7da54cef, 0xbf6c973d, 0xe374368e,
+    0xe612f213, 0x343c8bc7, 0xd4f06cb9, 0xbd4f5ff3, 0x803380a4, 0x88e712e1, 0xc7c2fa81, 0xd1f64f70,
+    0x1f025840, 0x1f18c887, 0x65405372, 0xdb71f093, 0x7aa11bec, 0x4a975727, 0x67c8f381, 0xa58525f8,
+    0x3144a231, 0xb03f572f, 0x8deebb22, 0x6133f60a, 0xedbf49e3, 0x2d5dfa1d, 0xf3f6f830, 0xc9f8c0b3,
+    0xc44c3c74, 0xf414aa9e, 0xc7610ecf, 0xc299097a, 0x33aa34d6, 0x839eb564, 0xb6c9b28a, 0x33f7ad3b,
+    0xff51ec3a, 0xc45fb24c, 0xf8fd1b6e, 0xe5a0b2b8, 0x80a622f0, 0xefc75b6b, 0x08f3e6dc, 0x1dcb4d63,
+    0x980a1647, 0xff97e101, 0xa1ae6a59, 0x71f89ef1, 0x3d056cd5, 0x082cd87f, 0x13497a78, 0x6afa1d5c,
+    0x3b8f1619, 0x07ce1256, 0x0c1422c7, 0xf0b348b9, 0x009a0f04, 0xf391adae, 0x29b4dd99, 0xa0057f7f,
+    0xef8cab8a, 0xd41c591b, 0xb61420c3, 0xc380c1fc, 0x545bcf62, 0x569342f7, 0xbf69dff0, 0xe70430c5,
+    0xd48b908b, 0xb954258b, 0x4e9db76d, 0x668a4717, 0xbe1861ee, 0xcf89d3fc, 0x109d7c06, 0x9ec7f6a0,
+    0xd4057ba1, 0x13189b7b, 0xbf9eb673, 0x5e19cd85, 0x0f83a8de, 0xb85c48c1, 0x927fa384, 0xa43b7262,
+    0xf887c271, 0xab3ab866, 0x6dcba285, 0x0cefcf83, 0xba7ca08f, 0x28e16403, 0x665c5a69, 0x90beae60,
+    0x29589d08, 0x1344582e, 0x25ffe6a2, 0x6c3c4521, 0xb4c5ac72, 0x768b0ccc, 0x14ce1757, 0xc66e5006,
+    0xcca946f8, 0x92920236, 0xcf180916, 0x2124b53f, 0xd74c1f98, 0x2383e077, 0xda97ae65, 0xbe577cad,
+    0x5cd49c5a, 0x8ac1a34b, 0x3cb6cae2, 0x9421eee1, 0x7e07462d, 0xbb7d212f, 0x771baa96, 0xd688dddd,
+    0xebd16214, 0x1d766c18, 0x39e6c365, 0x32e353fa, 0xb4946d0c, 0x4f309e26, 0x5d31dfc1, 0x7ee4c2c6,
+    0x37d04024, 0x53c42773, 0x92658f0b, 0xb834eec4, 0xb1f3023a, 0x07256618, 0x3b2ff92f, 0xc0277230,
+    0x8632167b, 0x6261f4d1, 0xa44a841c, 0x033b4b9b, 0xd6745765, 0xa89b7cd6, 0x0a971492, 0x5dd17724,
+    0xe4cf2941, 0x6fdd428e, 0x9eb7f657, 0x2edd918b, 0x8c6de639, 0x0639698e, 0x90d6cc41, 0x3423c955,
+    0x4576a80b, 0x8b74f8ae, 0x55bc212a, 0x52faad18, 0x405ff5f9, 0xd5e4a9f0, 0x6e2ea000, 0x1776dc13,
+    0x14abff54, 0xaa47e7a2, 0x4af6b9e3, 0x073456ae, 0xbd6b1b47, 0xae57af30, 0x95d617ec, 0x70e51548,
+    0xb1409c69, 0x080a63dd, 0x0d894183, 0x22553335, 0xe58decbc, 0x86f97cd5, 0xcc659273, 0x5aa6381c,
+    0x3745f7ee, 0xd1074d7c, 0x0ed08081, 0xd13d8e59, 0xb3af2abd, 0x1faab1f9, 0x7d83c0ee, 0x490ab3e7,
+    0x91f38c50, 0x7cb3ce35, 0xebf7814b, 0xfa40ec9b, 0x340b4f41, 0x9258b0de, 0xd4a5a2e5, 0x996115fc,
+    0xc722e9cf, 0x3454439f, 0xa030a910, 0x0e937519, 0x3fe4cd60, 0x2821e95c, 0xd825959e, 0x5fb43a4a,
+    0x46bd2437, 0x097ad32a, 0x8cff8125, 0xad1e5625, 0x4b5e3368, 0x77f9fae5, 0x0215b23f, 0x6e3b05b0,
+    0xae5cfa21, 0xda0a88d2, 0x50940aa0, 0xd712281e, 0xeb4f7f44, 0xef40cfb6, 0x87315381, 0x6ee52a62,
+    0xe4437883, 0x8f0836d6, 0x662a9891, 0x6635bbce, 0x4efc88e7, 0x5a8dad98, 0xa1693914, 0x284957b7,
+    0x7ff4b171, 0x002482d1, 0xfe0dbe77, 0xb88d5180, 0x600d33c8, 0xa47a9045, 0x06136a59, 0x0d4be183,
+    0x50ba7905, 0xfe6c1806, 0x448cd5ad, 0x5b68e525, 0x3fc1edbd, 0x676c5651, 0x78bbedae, 0x431dbcf4,
+    0xbb34efe2, 0xb672fd01, 0xe5abe093, 0x273c69ca, 0xf7be8641, 0x388e3c46, 0xff560956, 0xa154c3f6,
+    0x6acd2a2f, 0xc58c8887, 0x2e4f0f89, 0x158ef8e1, 0xb8ce2fef, 0x40007ad7, 0x0b26b766, 0x39b9bc74,
+    0x9afaec63, 0xc6207012, 0xbc2160f9, 0x91f9df87, 0x1d3c51dd, 0x73e1efbf, 0xa84963e0, 0xe1257146,
+    0x64603f0a, 0x73c3047f, 0xcb375bb2, 0x55896ac2, 0xebbed6fb, 0x4a1a0211, 0xb127bf0e, 0x8c70f5aa,
+    0xe864a258, 0xa6b3af9f, 0x92a1eb8d, 0x8ab3b48d, 0x1a599632, 0xdcade56e, 0xf043d732, 0x3d1ec41e,
+    0xe6ae1e79, 0xe3a49b07, 0xc3fef5bc, 0xc5092620, 0x0e65ae71, 0xe09c234f, 0x76b1b281, 0x4db7e476,
+    0x44d9a543, 0xb94bc3d6, 0xe20959d3, 0x854faba2, 0x61384e30, 0xba0c0b1e, 0x66eb6f2d, 0x12e68b25,
+    0x4e82b74c, 0x511a28e4, 0xb3dc9f0d, 0x3064781f, 0x64b0b732, 0x367ca796, 0x5c52c640, 0x798876b9,
+    0x62fe105c, 0x981d4610, 0x6c1ec49c, 0xe2c288af, 0xddb5d147, 0xfd68263a, 0xc97c033b, 0x7846f533,
+    0xcf1d3c60, 0x2283ff9f, 0x5249e211, 0x796d09d4, 0x5019b67b, 0xa22c1624, 0x535886db, 0xc36659d4,
+    0x36ee59c0, 0x5b6fa924, 0xe63ddff6, 0xf028ab86, 0x6fa4005e, 0x3ce99bee, 0x1a166684, 0x8292b568,
+    0x8ddf775b, 0xcc3f8375, 0xd0bd157f, 0xa0aa078c, 0x2bf9edfe, 0x7dbaaee3, 0xe533cd7f, 0x29dc1400,
+    0x33533e6d, 0xad5b0dff, 0x71586a9b, 0x9c0ef437, 0xd586bdda, 0x0a57f178, 0x903f9a0c, 0xcd46fdfd,
+    0xf7d3aff9, 0x3451905c, 0x39ce0154, 0xfe8a0971, 0xf72fca23, 0xf8fe2062, 0xd43762a9, 0x39b75224,
+    0x44be46f9, 0x56698852, 0xc0479e27, 0xd84fed52, 0x23ac4c05, 0x1daa672d, 0xaab3e6f5, 0x15e2d7f3,
+    0xbec51140, 0xc60ac01a, 0xb61a12f8, 0x34afa5af, 0xefe6911d, 0x5da61f04, 0x0c4332fb, 0x63d9a5a1,
+    0x6e2d8520, 0xd0fa28d3, 0xcfc27353, 0xfad63530, 0x3e3ef617, 0x54106335, 0xe78431f1, 0xd3377d77,
+    0xa7ab8ee3, 0x84cd9341, 0xcc19c4f6, 0xdc0a305d, 0x6f5f444f, 0x5bc14f7e, 0xbc51b393, 0xa4e4be15,
+    0x72c35d0c, 0x1cebc2a1, 0x5fe52e8a, 0x71b2da5a, 0x9448b021, 0xf61c0a18, 0xc4392fb6, 0xe9e3c5d5,
+    0xbeaa16af, 0xeadb1de8, 0x718ee397, 0xab927e6e, 0xf41960a5, 0x57d69ef5, 0xb00c54f4, 0x91ab6c38,
+    0x0ec8da1c, 0x58a74dcb, 0xf3a4a28c, 0x13b01e14, 0xac833ffd, 0x2251c0a0, 0x61697c23, 0xf6edc42d,
+    0x96e79aa7, 0x931af04c, 0xb7a3a4c7, 0x605ce2a3, 0xc3e11bf7, 0x19c62405, 0xc686d399, 0x58789a5c,
+    0x68030ae9, 0x2b884128, 0x3a256cc4, 0x6cbd8f8e, 0xe3e0dd4b, 0xc29a3541, 0xe5d7be39, 0xd2ef5ac0,
+    0xc5d5a467, 0xb35858e2, 0xf5d3545e, 0x38c84474, 0xd69aab8c, 0x71ceab67, 0x0dcf01be, 0x70a4b49c,
+    0xd92c79df, 0x68c8b705, 0xc1f0809f, 0x9926e7a5, 0x9e135f1a, 0x98eddd23, 0xdbaea278, 0xa9ee6846,
+    0xbc35f6cd, 0xa871d183, 0x12d90076, 0x7c36ccae, 0xe16695cb, 0xc13eb549, 0x6ed12909, 0xa0496a78,
+    0x948b1e4a, 0x3df612de, 0x00c5718a, 0x21633d2a, 0x66a1fa14, 0x56b54bf1, 0xa693ba60, 0xfc8c0170,
+    0xa9397f81, 0xba2e4954, 0x9558e95f, 0x0b9c02da, 0x69889253, 0xdffa0be8, 0xba893e85, 0x76074e12,
+    0x09e6a268, 0xb54adf9e, 0x2a35bf28, 0xbcf81c4d, 0xf1baefe3, 0x454235b4, 0xb14ea36c, 0x230772e1,
+    0xfd9b7764, 0x323ea5ad, 0x845a7e08, 0xe91b8109, 0xce4eb64e, 0x702efb62, 0x47a085ce, 0x45cbfbbc,
+    0x419ca437, 0x13e71eed, 0x148712c9, 0xab1016eb, 0xc4537ec4, 0xea96fc0c, 0x697f5064, 0xbabd8391,
+    0x8d7cd57a, 0x106fe4a9, 0xf4ce19e2, 0x08bf98d5, 0xa6f3d18e, 0x86c5d80b, 0x092f26aa, 0xf9a6d6fb,
+    0x75bb0f5e, 0x704d311e, 0x71ad0c79, 0xe831bada, 0x70c8cc1b, 0x9183ca3d, 0xbd2cbba6, 0xc89d83d5,
+    0x1fe60133, 0x1cb03108, 0x5a4a70d9, 0x58571b25, 0x41843b43, 0xa899f50c, 0x7b9a2fdf, 0xc907e130,
+    0xe609d5f9, 0x28a9ab39, 0x829ad957, 0xe8fd31df, 0x689869cc, 0x1057b180, 0xd24aca17, 0x2ce3e1fe,
+    0x39d609a8, 0xbe98fbe7, 0x8d4bdbff, 0x00ab112e, 0xf86587eb, 0xd0754cc4, 0xe6ef4c44, 0x2557b8df,
+    0x10d13003, 0xd971d375, 0xec856c9a, 0x21b90278, 0x971cc887, 0x412dbf02, 0xf515bd37, 0x884649d1,
+    0xb56b30e8, 0x4a7e2056, 0xe8ec931b, 0x5a35fc87, 0x0a2a09b5, 0xbc5cbbe5, 0x4e46eb17, 0x812eda83,
+    0xbf8e71ec, 0x7b28c991, 0x82c488d1, 0x01931b7b, 0xe729e043, 0xd6e8b44f, 0x706a13bf, 0x90d51cce,
+    0xf913ba6e, 0x487b60f2, 0x33a24102, 0x370d2134, 0x2f909696, 0x288345f3, 0x4cc912f8, 0x5ee9df89,
+    0xb4d658be, 0xf17ddb9b, 0x43dccb8c, 0x415b5eb8, 0x86d0b232, 0x15385f1a, 0xb2c16eed, 0x9013dec8,
+    0x5db809cc, 0xcab99fa3, 0xdad6c25b, 0x940596e4, 0xba3062e5, 0x57e8202c, 0xfb178f86, 0x57d6d9cc,
+    0xa7136bdf, 0xe0d66e62, 0xa016fc94, 0x4e08484c, 0x0a5f8232, 0x10f186f9, 0x86949014, 0x5be14635,
+    0xb1f152e7, 0xca9b5015, 0xd53c941c, 0xdbbd04ae, 0x6d40a3db, 0xb44c61fe, 0xf0e3c263, 0x634a38de,
+    0xf475eb21, 0x37cb8624, 0xd18f4507, 0x7bc7900e, 0x1991b33a, 0x2939e8b0, 0xe5dc1e04, 0x00deda82,
+    0x3111bb9b, 0x62b27d2d, 0x1c221678, 0x1c0c4a5f, 0xa4407da5, 0xbdf3b913, 0xc11257e6, 0x18e1db8b,
+    0xea87f3c2, 0xfeeb45b1, 0x9cf6b1b0, 0xbeadea27, 0x49a93890, 0x904659d4, 0x6abf480f, 0x005d7f5f,
+    0x423348f8, 0x45cbd258, 0x205fd27d, 0x95a0dad4, 0x1d1af8c3, 0xe9902c0c, 0xde9118c1, 0xa40424dc,
+    0xc2f46101, 0x4bd09346, 0x5ef593af, 0x898e7f82, 0xd918f6eb, 0x612e5fcd, 0x548d7c53, 0xda0af756,
+    0xd730f746, 0x0e6d2fbd, 0x416434bf, 0xdcf8a8c1, 0x66b3ea64, 0x7e47d46a, 0x2e4398e1, 0xfe7cf854,
+    0xe8c00cb8, 0x08eb0b97, 0xb5b1d180, 0x7846d6b7, 0xb91c1901, 0x802f1d4c, 0xc2865aa3, 0xe2c06943,
+    0xc12773d8, 0x07ce5188, 0x9522168c, 0x9e6aace8, 0x924beb9e, 0x871191fa, 0xcda42de0, 0x30f10e91,
+    0x0adab09c, 0x4b63a814, 0x91f3cc28, 0x1802e8f6, 0x27a3430d, 0x13ae312f, 0xea863093, 0xc5e8bda8,
+    0x69dd63a7, 0x7ff9d030, 0x9f7651e3, 0x98494020, 0x8dc4f7d4, 0xc7539744, 0xc64c39e5, 0x69d11d72,
+    0x8cee7d32, 0xf282dc5f, 0x8ee2efee, 0x97dad5a8, 0x00b1fb9b, 0xc1e440ce, 0xec1ec8ce, 0xbf8e3f0b,
+    0xc6c52fc7, 0x492924af, 0x224eed61, 0xafb364ef, 0xe53f11ec, 0x5ae4d52b, 0xc3a75262, 0xdf77abb0,
+    0x3a415ca1, 0x34d8893b, 0x9f4c024e, 0x03705276, 0x5ee14246, 0xa885bc6a, 0x1ed07e73, 0x6a713f76,
+    0x966bf487, 0x270d690b, 0x1b634a57, 0x9956945b, 0x0a31be15, 0x891e1ed3, 0xc047cc3d, 0x870d76fb,
+    0x9ad917a8, 0x402ded5f, 0x08a1d0da, 0x1a933a62, 0xc1e0bcc6, 0x888bacec, 0x557851bb, 0x870faf0a,
+    0x1c003998, 0xcca61d36, 0x26950bbe, 0x76ec7461, 0x889efeb3, 0xd1ac17ea, 0xbc1bcd07, 0x6f690baf,
+    0xef9f0a5d, 0xf583abce, 0x187589d8, 0xc3d3eb86, 0x50f68a8d, 0xa7df4ba6, 0x75d2f83e, 0xa531487f,
+    0x3f6b5ce8, 0x3ae9b0c6, 0x6b6362ce, 0xb2ab4207, 0x114962e3, 0x90cd6cad, 0xb270dbbf, 0xb3a059b8,
+    0x53dd5c75, 0xa22ba5e5, 0x8a853c03, 0x0855a321, 0x3f3e1af3, 0x0127319e, 0x7ba33be8, 0xf0af2ac2,
+    0x08d61628, 0x7be87c66, 0xcfbb2797, 0x4ebfdda6, 0x067ebfb6, 0xecae2744, 0x3276a522, 0xed516139,
+    0x861efbeb, 0xc415e846, 0x94231205, 0x1546d0e4, 0xdfb48786, 0xf53fbcf5, 0xdb83b7e6, 0xe41faa1c,
+    0x33cd0488, 0x3cd52e60, 0x880255d3, 0x416d0d6d, 0x6cf33cb9, 0x01575ce5, 0x5507dfa6, 0x05b393b7,
+    0xe1ec4acb, 0x973e58ef, 0x42ecd86c, 0x3112e7be, 0x7541d7ef, 0xb471cbc7, 0xaaaf696f, 0x1b645b44,
+    0xb8fb7a4f, 0xb3cb8a26, 0x35ff7cea, 0x893a926a, 0x0c0128ac, 0xeac521b8, 0x301065a2, 0x4af365b7,
+    0xa385fb24, 0x8a189b9d, 0x5e974fc2, 0x48cd7821, 0x98a6ad65, 0xba748544, 0xd6a1f6ff, 0x48a08763,
+    0x0e7047dc, 0x333ae38d, 0xea6314e1, 0x8861aa46, 0xaa12200b, 0x5d2d7bcb, 0xf1591f56, 0x08363898,
+    0x753bdeb4, 0x203f4b80, 0x1fb2da82, 0x851a61a3, 0xe3cd879c, 0xe39af761, 0xabd82746, 0xb77e31e0,
+    0xcc565a10, 0x44b946ec, 0xf76dc7c2, 0x45b5335e, 0x98d2d009, 0xdac9d7dd, 0x77a4efe5, 0xf5d88a30,
+    0xb9ac7329, 0xae8727f8, 0x56c48535, 0xd21ee308, 0xc20f5b4f, 0x30c90764, 0x93add5e5, 0x41ef67c1,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0028269553036454149273332760011886696253239742350009903329945699220681916416 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d5, 0x90105cef,
+    0x00000000,
+    0xd02d83af, 0xfae6e463, 0xd3439c45, 0x9f62d0b4, 0x91cfd37a, 0x263a12e5, 0xc15e2c43, 0x8bc7d4e1,
+    0x90daea69, 0x6536dd89, 0x489599be, 0x51e1d19b, 0x9373e0bb, 0xae58b026, 0x9b649ed3, 0xa7460584,
+    0x85116956, 0xd93d5081, 0x34c48a1e, 0x6c89c262, 0x9f9b922b, 0x25db00e9, 0xaecfbf5b, 0x9dede0e5,
+    0xd0e9ecf1, 0x3df3a742, 0x6e12728a, 0x9b9850c4, 0xd315937c, 0xff6f2a91, 0x057a021f, 0xb7e29001,
+    0x0fc36786, 0x1d425d77, 0x144e8af3, 0x75d1af2a, 0x5bf64184, 0x002af65a, 0x49e33350, 0x025f278d,
+    0x5a6e7c2f, 0x0b48889f, 0x82fc0f26, 0xd66bc4fb, 0x64618430, 0x6f49a3b1, 0x4e7380ac, 0x754b2abd,
+    0x07b4822d, 0x4228284c, 0x0221b162, 0xd7922e60, 0xe39a4d7e, 0xe990085e, 0x121104f3, 0x51e4d26f,
+    0x2425f50c, 0xccce2084, 0x0f2a0186, 0xed8af467, 0x0873b6f4, 0xa55a5124, 0x00873867, 0x073dbaf5,
+    0xd10a9c8f, 0xdf4bdb5b, 0x9a9c7d3f, 0xd2512089, 0x6e2b1aeb, 0xd47d289f, 0xb78faf4d, 0x3a29ee04,
+    0x35a3a8b4, 0x5cea2f30, 0xf98ea3a4, 0x4cd93c76, 0x115237f7, 0xc76fd5f8, 0xb425cb77, 0x4ca32ddd,
+    0x6bc49a39, 0x5e7d6321, 0xecf03865, 0x4d618f93, 0x6e1e538e, 0x85f65547, 0x223f1e9d, 0xad985b42,
+    0xf4d09831, 0x0563d919, 0x9d7c9689, 0x11907e89, 0xa0383dff, 0x0e3690e0, 0x88e2ad8c, 0x1a8e7db9,
+    0x5956fefa, 0x2be4e329, 0x61b47739, 0x50d26027, 0x9dfc2bc9, 0x54ac5928, 0x3f7d4463, 0x97acd624,
+    0xa3fb374a, 0xdc4b8103, 0xcff76343, 0x02a587d2, 0x96810a4f, 0x6cf04785, 0x28e2a3a1, 0xfdf2fd22,
+    0xbd6870a9, 0x4598988b, 0x587745fa, 0xecc736de, 0xe613b33a, 0xe7e3646e, 0x713cf933, 0x476a9a73,
+    0xab8c8502, 0x380b922c, 0x52263bc5, 0x718e34ee, 0x06818915, 0xc6015781, 0xcca7adc3, 0xfe2eb32b,
+    0x3fcdb5c4, 0x4e97c168, 0xde970e4c, 0xc1b3351c, 0xcd87f23c, 0x7a622994, 0x9f74bfcb, 0xc66ee702,
+    0xb5effe9b, 0xb6006e12, 0xf504db9b, 0x00d209ca, 0x8349848e, 0x35da1550, 0x4753b78d, 0x1740e925,
+    0x6dabee9d, 0xb5f1c4d6, 0x788fe1af, 0x5c3dc090, 0x79f36341, 0x02990181, 0x40d1cf7c, 0xfb0d71c4,
+    0xa1ad4fe0, 0x4aaa5450, 0xd7335512, 0xe9a5ba0c, 0x4919013b, 0x9093a4ec, 0xd758802f, 0x947fc6fd,
+    0xb6515aba, 0x35e63cae, 0x45542bbc, 0x0c9db910, 0xc2638a34, 0x887b6166, 0x260a60b7, 0xff152599,
+    0xe323aac9, 0x2e4bb188, 0x4afdd459, 0x1dc95f7b, 0x1812e370, 0x91f46bdf, 0x332fcd42, 0x598932d5,
+    0x9353d35f, 0x60d7ff52, 0x94c38aee, 0x06a9bd76, 0x557e372e, 0xbdc4c440, 0x4a7498db, 0xa93ef9fd,
+    0xbe966c64, 0xbb7db6ff, 0x3fd2ec5e, 0x8db7093b, 0xb8e5db66, 0x6c49672d, 0x91fd4a33, 0x424da6ae,
+    0xb20d460b, 0xba78d3da, 0x8778631b, 0x0aadb0f0, 0x374c3d85, 0xfd7dc18e, 0x5db4bc3c, 0xceb7c594,
+    0xbc7400c6, 0xf48906d7, 0x98a1c670, 0x023596b6, 0x34cc1f2b, 0xe05c1e14, 0x01b215f8, 0x702dfcdb,
+    0x474c54d8, 0xbd2678bc, 0xd03b660f, 0x2376c1f3, 0x83c7f771, 0xf8702818, 0x463b474a, 0x9041ea25,
+    0x404c1d77, 0x4de6f0e5, 0x1e117561, 0x90d65609, 0x50a2b6c1, 0xaf3f7e0c, 0x7e58cd9d, 0x43710bc2,
+    0x9deeb9b7, 0x8b0e6aad, 0x754d5511, 0x2257af0b, 0x65ba8c9c, 0x5eb1a386, 0x6b44baa0, 0x71992e5a,
+    0x424c919f, 0xacd566f0, 0x42d63c55, 0xeec07667, 0x050004aa, 0x21cc7b89, 0x1d4012ac, 0xfdbefe55,
+    0x01659d83, 0x39e50cda, 0x39062768, 0x369dba9a, 0x6afe46e4, 0x764369b9, 0x5a38d938, 0xb598931d,
+    0xe977af6f, 0xbc925bcc, 0xc2381984, 0x16bf2098, 0xe1e8a342, 0x80cb86d1, 0xa0611485, 0x66f31ee9,
+    0x68f6709d, 0x2466d7ce, 0x0bed0b1f, 0x882b611e, 0xa09ea76d, 0xbf72a488, 0x0c268b54, 0x74589d88,
+    0x2d560531, 0xb49406d1, 0x6f16b611, 0xea57adcc, 0xe03a46aa, 0xb56a9041, 0x09e1ea76, 0xee3cb30b,
+    0xff37cc2e, 0x033d8582, 0x2e57e732, 0x8d80a4e4, 0xb35e95cc, 0x56e17a09, 0x5c8f7c6b, 0x7de412ba,
+    0x08d042b0, 0x9dbafecf, 0xf662254f, 0x4964b7cf, 0x2702fd6c, 0xfc168c49, 0xbea1a10f, 0x83e3c58b,
+    0x7218b638, 0x5812c14d, 0x9c1e370d, 0xb9493a79, 0xd6f7c154, 0xd39ce326, 0xd6c9b0aa, 0x00e82a1b,
+    0xdf338617, 0x23f6f2c9, 0xa70578c2, 0x00b3f809, 0xc0ac4f50, 0xe9878e74, 0x024a7d41, 0x8e206f4b,
+    0xb65a484f, 0xf217292d, 0xf09be19d, 0xe07c4041, 0xcc64ae08, 0x9d155cc1, 0xadf5fb39, 0x71bb15d2,
+    0xe662b22c, 0x8a2a95ce, 0x3d72f503, 0x5e086672, 0x0ad62b49, 0xe13712c6, 0x3ccd16d1, 0xe1b9e6da,
+    0x24be7985, 0x87b6bc89, 0x4b26fb28, 0xef00e8e7, 0x98c5a0d5, 0x25fe925c, 0x5757e8c1, 0x0c4d416c,
+    0x76f1aaa2, 0xff03d802, 0x40338acd, 0xd06a4371, 0x43bfd323, 0xd3ceabe4, 0xd60f60ff, 0x36e3553d,
+    0x3eeff530, 0xb14484d7, 0x0c28b40f, 0x6252de8f, 0xcbf8859d, 0xf68cb6b9, 0x6a684349, 0x61f2e6fc,
+    0xba428d51, 0x1adc1b64, 0x21b097d9, 0x50503f0c, 0xe2440eb1, 0xc91bf6ef, 0xd32ccdd0, 0xa4bfef54,
+    0x532258a4, 0xd8d24095, 0xb31b921f, 0x2b64e003, 0x062de6e6, 0x53fdde42, 0x8f3a40c4, 0xb216914a,
+    0xa69ea66b, 0x03957126, 0x946bd847, 0x13db1962, 0x7ff6658f, 0x68cf1f18, 0x8cc81b0b, 0x79b6b9be,
+    0x4cd1934e, 0x57c6fcb3, 0xafb928cd, 0x624ce9a5, 0x17222048, 0x4cb60d86, 0x812eaae3, 0xa0d4873b,
+    0x0ff92ad8, 0xec807f0b, 0x349cf923, 0x93ef73ac, 0x6a4e8ce5, 0xe0ba1702, 0xfadfdb1f, 0x45093cee,
+    0xfb195de4, 0x801c1356, 0xdca544bb, 0xc87c80b6, 0xf9b9fa49, 0x08993923, 0x7ed6720a, 0x628f3eec,
+    0x6f32b4f9, 0x970f2cfc, 0x581f10ba, 0xff891f17, 0x300c623e, 0xe15ee770, 0x8c27df78, 0xe220259d,
+    0xf1a4959f, 0x20d96b15, 0x8c4cafa4, 0xa2275b47, 0x7b839758, 0x9eee0f91, 0x451a34b1, 0x92a789ae,
+    0xc9eb5480, 0x553c3c49, 0xfd3a57ea, 0x65f11518, 0x021dc2d2, 0x20858c9f, 0xfa744d04, 0xfedfcc91,
+    0x8a6618ce, 0xccf8a4e9, 0x718e117f, 0xc31f4378, 0x0eb63397, 0xe09f96cc, 0x4216bb32, 0x5fd57a19,
+    0xee14f2a9, 0xa0c6532a, 0x23597151, 0x61de24b3, 0x5b6660b7, 0x91b452de, 0x35ebb271, 0x09808ced,
+    0x77aad938, 0x480461b6, 0xd42b9a7e, 0x615bc208, 0x4e4f832d, 0xf3fda9a1, 0x37ef7f31, 0x47b94359,
+    0xb9a698ab, 0x59cd495a, 0x9cf58cf8, 0xbee383aa, 0xc3b09a22, 0x069d089c, 0x7f5a6123, 0x64b4f4c5,
+    0xcf47b99b, 0xaabed1da, 0xea7fe645, 0x551e6d82, 0x136de301, 0xca6e85c1, 0x81255c49, 0x98e82114,
+    0x3b8e7751, 0xd499a41d, 0xf60163c0, 0x3cf22956, 0x9b6cbca0, 0xfdfbae3d, 0xf9791313, 0x49113e25,
+    0xb760140c, 0x6160ccbe, 0x8103cfe6, 0xf51d5789, 0x907b66c3, 0xebc202ee, 0x275d1c23, 0x9b2fa6e0,
+    0xb438f4a6, 0x10e52a8e, 0x0ad781fa, 0xc45820dd, 0x56998fea, 0x46b928b5, 0x698f893d, 0xfff1f824,
+    0x9bc35241, 0x45c5c92e, 0xe1e6e57b, 0x5f5e23e1, 0xc8efe79e, 0xf7bb930c, 0x567d97d6, 0x69038dcd,
+    0x3a332e63, 0xa372c363, 0x7b2b4314, 0xcd8b82ec, 0x994c077e, 0x0a75810d, 0x6b2cc8f3, 0x4bb8309b,
+    0x38d86ecc, 0x5f455a7f, 0xdddec728, 0x960a8381, 0xdd723794, 0x2c40052e, 0xafa1b644, 0xf3a03434,
+    0x754305d3, 0xfcf0e344, 0x0630df37, 0x6bf0eef6, 0xf86fd5df, 0xffb4c9ca, 0x1de6cc1b, 0xbfe36034,
+    0x6cc4d71e, 0x7ae29e4f, 0xcc4a9f96, 0x6612235c, 0xe49546d1, 0x7e8fe560, 0x937ca46a, 0xadf3577a,
+    0x191c537a, 0x3de31322, 0x0cb90590, 0xe1729a17, 0xc5132cb0, 0x4ee33cea, 0x0dd9ff41, 0x91c607d1,
+    0x89e8c3eb, 0x1bd81e22, 0xb716482b, 0x9e91b996, 0xf0b6f323, 0x1f790570, 0x7481c111, 0x2407efa0,
+    0x4621f15a, 0x9361ea74, 0x434117b2, 0xf7f4019c, 0x85451393, 0x679f4af8, 0x69339cb4, 0x828e4022,
+    0xf2758fc7, 0xa6669190, 0x8e0fd380, 0xc4395270, 0xa0dd7838, 0x9c444efb, 0xdcf9dda5, 0x55a946e8,
+    0x5acc40d9, 0xbb421887, 0x807519ce, 0x68388f20, 0xc95ca2de, 0xde728d5c, 0xe5befd6a, 0x048bd226,
+    0xee6de92a, 0x4e620462, 0xcdcb1565, 0xc8bbf3ac, 0xb50929ca, 0x2aea810f, 0x8521d0d9, 0x071982bd,
+    0x423ae402, 0xcd4309ee, 0x058d8725, 0xad32da38, 0x8c0efbe1, 0xabd967fe, 0x360e4efe, 0x572aaeec,
+    0x2653956a, 0x16784e6c, 0x98d080ae, 0x43a8d1f3, 0xd8db4849, 0xa44032a2, 0x8ba13704, 0x2f980d05,
+    0x69c56885, 0xd5691521, 0x4fe5090a, 0xf5614258, 0x53ab346e, 0x8e443d06, 0xaeb30e85, 0x2bc3fdb3,
+    0xede18bb0, 0xd3004a13, 0x29e3164a, 0x71a8e8ca, 0xcd2c8a30, 0x86dd3068, 0xb5583105, 0x5703c7a1,
+    0x078646ea, 0x3f183f4b, 0xebbe4d6e, 0x33f21128, 0xbe63cbe1, 0xad6a449a, 0x22a33634, 0xce599cd2,
+    0xc6f8e966, 0xa0bede09, 0xfc9fd064, 0xaa24d342, 0xdd8166ed, 0xfe9c10c5, 0x70c9e776, 0xb3d33c7c,
+    0x8ce9074c, 0xf789a75d, 0xd44c956b, 0x20591869, 0xdb3e012c, 0x9163a3e7, 0x61c94cac, 0xa75715b9,
+    0x6e0e70c4, 0x833569b1, 0x9dbf1bee, 0x655fb5e3, 0xe77c7526, 0x287e3ba8, 0xc0e77dd1, 0x41b2ef42,
+    0x6b1b30dc, 0x168f7861, 0x0763bcf7, 0x9c377a36, 0x8c1300d6, 0xd7ffdc7a, 0xf76f6e12, 0x6b11c35a,
+    0x23df776c, 0x32909e26, 0x911ba651, 0x45e1b3f3, 0xa379b8a7, 0x19facfa4, 0x30ee3f8b, 0xc6c504a6,
+    0x9b7e08a5, 0x4ceb8117, 0x1563f0e7, 0x1d5bc7a0, 0x8daf392a, 0xa519abb3, 0xc8399e92, 0x3d855f15,
+    0xa436471d, 0xb492bd3b, 0xd6c6c7c1, 0xc9a22030, 0x929ab8fc, 0xd418c34d, 0xb5832639, 0x8c6bd39b,
+    0x6f788da4, 0xfb66918d, 0x9b85b654, 0x07cbaac7, 0x6a44a2da, 0xfeb96c2b, 0x6aac1e3e, 0x1c242250,
+    0x594b1fe0, 0xeb12d732, 0x13daa1b7, 0xc10cd03a, 0xd86a5d93, 0x1b7ada4d, 0xc2a4dd94, 0x6c631c04,
+    0xdbe81a0c, 0x2f5c94f9, 0x4c7da6ed, 0xfa765d2b, 0x0552f60d, 0xe51432fa, 0x5f9b23ce, 0xf51634a2,
+    0x827c31e9, 0x11b2f3b2, 0xbbcc2461, 0x6dd07e46, 0xd758884a, 0x4803ef14, 0xebec626b, 0xfc08cd2b,
+    0xf1685710, 0x45230da6, 0xa8f6473d, 0x0e644199, 0xa613cde6, 0x5ec9436e, 0xe3ffe17c, 0x6716c8bd,
+    0x826d8c81, 0x1e67eba1, 0xe5f2906f, 0xfe11fed2, 0x99886876, 0xa0671eed, 0x06c2666c, 0x95517900,
+    0xdde6a72f, 0xb6be0ca0, 0x1d3c92b7, 0xa6b06db3, 0x7fd0bd47, 0x87ca2401, 0x53862fa1, 0x91253859,
+    0x1bc0a3e4, 0x7ea35924, 0x12d90763, 0x1d37336d, 0xe3e3bd4d, 0xaacfb762, 0x265a91ef, 0x7161199e,
+    0x78a10268, 0xb8de8a77, 0x12a1493c, 0x47d4910d, 0x40b5134e, 0xa1a57837, 0x9a652cd5, 0x205b877f,
+    0x5dc1e26a, 0x77aab05e, 0xc0430ed6, 0xdb40e85e, 0x4ea65e3a, 0x6bfeb199, 0xb240c907, 0xc5510376,
+    0xc0be7087, 0xf9b53a68, 0x3ea4a953, 0x264bb00c, 0xb46c68aa, 0x2222df4e, 0xe228546b, 0x5b1c2927,
+    0x42d98ffb, 0x82ccf492, 0x9ace0883, 0x2b6a86af, 0xd65a4f94, 0x7ee505ae, 0x8c5daf4c, 0x8da4885b,
+    0x6909402e, 0xaea804ac, 0x7eaa6929, 0x68d2a86b, 0xf092a0a5, 0x7678295d, 0x30d4195c, 0x2b8bbdcd,
+    0x38ba9d18, 0x12d8343c, 0x28b8b4a6, 0xccf21836, 0xd72e35a2, 0x1a55469e, 0x90c484e2, 0x8e88c1ac,
+    0x61d651de, 0xcbaa7289, 0x6e01a31d, 0x3b6b483a, 0x9370a2fd, 0x4a128f95, 0xbf06d8d4, 0xe1296ca6,
+    0x72fc2f87, 0xb4e711b1, 0x8b3a7098, 0x1cbec869, 0xf2c28108, 0x58108d57, 0x782fc424, 0x1616bf69,
+    0x175645d2, 0x13b4ea10, 0x064d6b9c, 0xd3aef4f6, 0xb146232f, 0x15878a8c, 0x657ee2f9, 0x8b69dd5c,
+    0xd04d6eb9, 0x57a45fe4, 0x5774ca83, 0x50383a4f, 0x57ea34f7, 0xf30219b4, 0xf5be7353, 0x20b5405b,
+    0x2c7393b6, 0x6258d406, 0xa321f4db, 0x8f1f9ab0, 0x2629bd50, 0x1ab66452, 0xc37d0115, 0x196d571e,
+    0x9af37900, 0x52f335eb, 0xdb7610f3, 0xde44b923, 0xd8f1ba22, 0xd0ebd8fe, 0x132dbbf5, 0xdf5c0428,
+    0x069c7166, 0xf64266a0, 0x1342d88a, 0x7a6aaaea, 0x4c5bb2f0, 0xc064c444, 0x5f555e04, 0xb5c97ad3,
+    0x04c78125, 0xfbce7044, 0x4a0323d3, 0x9ff17858, 0x213eb1e5, 0x2b45d210, 0x5538762c, 0x45cad3fd,
+    0x6c35dbf4, 0x719c8d7d, 0x0a8e1789, 0x4471852a, 0x3403107f, 0xcd3258c9, 0xcdb4efd0, 0xa7ac464c,
+    0xe09b75fc, 0xab966877, 0xc792962b, 0xd68f019e, 0x6b45a4a8, 0x0360ccee, 0xdfe663f0, 0xd6142f6d,
+    0xc687bf23, 0xec35712e, 0x09144f76, 0x0ce1324c, 0xd5a4fb75, 0xe7e31842, 0x750398c1, 0x7171e51b,
+    0x4c714958, 0x6400dce6, 0x8e09987e, 0x9ce009f4, 0x8c968893, 0x69ffedc0, 0xf88da1c8, 0x7a72699c,
+    0x036d4a27, 0x2046a4a4, 0x48cee9fc, 0x9c3e17d3, 0x83149bdf, 0x3082703b, 0x8605c81c, 0x423417f2,
+    0xb53a8b60, 0x20bf5b4f, 0x29aaa55f, 0xfef8b77e, 0x2ee58856, 0x1e07a8eb, 0x820421a2, 0x64720f8c,
+    0xa8a788ab, 0x69b36952, 0xd6778f9f, 0x710a8878, 0x05d885ff, 0xbe15452e, 0xee3fa9c0, 0x877cca42,
+    0xed4e8ca3, 0x318e40ae, 0x8fd2d69d, 0x3b3acd41, 0x3e2c8acd, 0x7c9c3e90, 0xc8dc0cfa, 0xb291c491,
+    0xc450a504, 0x8e160748, 0x62f38ab9, 0x5af7edd8, 0x62af942d, 0xe13e3aaf, 0x2f71f450, 0x69332fd8,
+    0x879cf219, 0x045cf110, 0x179500f5, 0xa0d499e6, 0x0c3e17b6, 0x2415efd6, 0x19f5110d, 0xb2d508b5,
+    0xc2a8b7e6, 0x3320131f, 0x4c276334, 0x40f96046, 0x8aa77766, 0xa29b0286, 0x7810b4a1, 0xfc133404,
+    0xd787342e, 0xc6637a58, 0x72404338, 0xa7b06863, 0x1991018f, 0x18dfeb83, 0x5ce29dbf, 0xdf6b4ead,
+    0x8b8aa343, 0x2ab552e3, 0x7755936a, 0xb5d7f4ac, 0x9ad7eb97, 0x8b7b9a13, 0x4975bfd9, 0xd76e92f6,
+    0x1b7c7b20, 0x1a51ae45, 0x8c8f8b3b, 0xd7a626f4, 0x57c514cc, 0xb2804a29, 0x410387a5, 0xfa69e4e1,
+    0xb6a51d86, 0x3c57a0ae, 0x57699369, 0x86797bbc, 0x37b4970f, 0xcb603104, 0xdfe71aca, 0x1322263a,
+    0xeb10aa60, 0x7fdb548b, 0xa467fb79, 0xcb19a789, 0x7de53f45, 0xfb2c1504, 0xb8dfffa8, 0x2620d999,
+    0x6df4f68f, 0xb0098c41, 0xd765bb06, 0x5c9a7788, 0x016ca348, 0xc992ca6f, 0xe0a0a5bb, 0x52e9ea27,
+    0x526c5050, 0x387754b0, 0x2406c638, 0xc9b62aff, 0x956781b9, 0xe31049ac, 0x027ac08f, 0x5b1cfc28,
+    0xdb1e6155, 0x5149f6cc, 0x88c1efda, 0x9172b445, 0x107139b2, 0xc6a834d7, 0xea9f65af, 0x6674cde2,
+    0x8eeb68a7, 0xb5ffd74b, 0x93856b3d, 0x2eb02da1, 0x7683184a, 0x4e0e463b, 0x588a38bd, 0xebfc61bc,
+    0x0e3f0731, 0xf758f8bd, 0xd2ed5015, 0x33296466, 0x05862721, 0x9bb1360d, 0x9bb52059, 0x7abc8662,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0014134776518227074636666380005943348126619871175004951664972849610340958208 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b6a, 0xc8082e77,
+    0x00000000,
+    0xa33d0429, 0x9fd71f57, 0xb0067278, 0x37bcc63e, 0xa4f9aabd, 0xde8a004e, 0x8e46c9ed, 0x4e6344a3,
+    0x070de002, 0xd572e92a, 0xcb72b7f9, 0x81c5a7ba, 0x7d17d39c, 0x4f76b1c6, 0x079cbd95, 0x79e6866a,
+    0x0cc45804, 0x8c911cb6, 0x705d681c, 0x7a0242f1, 0x3149f9cd, 0x48b0f368, 0x112d0b3d, 0x38f5671b,
+    0xc583ba2d, 0x34d25244, 0xec83b3fa, 0xd2119f0a, 0x16a9dd05, 0x83122f50, 0x592982e1, 0x37aa2b73,
+    0x3bd0bd70, 0x24e7fd54, 0x6b382fa4, 0x4167a5db, 0x203bcdb9, 0xd2c33bf5, 0x7619b737, 0x459ebf88,
+    0x92605d9e, 0xa4dd303a, 0x34edf16c, 0xd601282c, 0xb27cbdce, 0x23a3f66e, 0xc10cc766, 0x35cc3458,
+    0xe962f306, 0x91feb3de, 0x2c6853e6, 0xc5994d0c, 0xefb88930, 0x96a89c77, 0xeaaa2438, 0x8622cf2a,
+    0x68a15673, 0xc1a62d59, 0xdc90e9b8, 0x77a25b68, 0x190a9572, 0x41b2101e, 0x2ed85596, 0x59126a8e,
+    0x26fe3bd0, 0x38bd129d, 0x25ebc482, 0x477563ea, 0x985a0654, 0xf3c31ee5, 0x132f1bb8, 0x93eaa582,
+    0x4d177e61, 0x2e2b9215, 0x01e82954, 0x7c803404, 0xeb1b5ea2, 0x92cab9c7, 0x3053cddb, 0x14239124,
+    0x3d87fa27, 0x20d9b5f3, 0x0e7f674b, 0x7ba2c21a, 0xbf24cb0c, 0xcabbc5ce, 0x08ae55c7, 0x22f7a1c3,
+    0xd62c1da7, 0x1c11e46b, 0x0729db3e, 0xe011725a, 0xcba29ef8, 0xd71f1699, 0x74c9c752, 0x0f2f0ca5,
+    0x7dd87af5, 0xf099a350, 0xcdb0f388, 0x1a6e1dce, 0xb367c298, 0xcc8282f2, 0x9ce669fc, 0x3b9c4894,
+    0x590e38d7, 0xae79e7c6, 0x31063c6d, 0x2bc8bcf6, 0x843d5dda, 0xb4f8da0e, 0x04e28795, 0x253720ce,
+    0xe683c725, 0x699e93e4, 0xc40548b0, 0xb02aa704, 0x75bae0eb, 0x4168ad91, 0x95792bf2, 0xd97293a0,
+    0x40e6dd36, 0x0f6a9a68, 0x45ea0134, 0xd2832a7b, 0x47a14638, 0xbab98f28, 0x04322f23, 0xd778a95d,
+    0x464728cc, 0x44b80b03, 0x08f72a16, 0x6a91cf87, 0x601cea55, 0x39279aee, 0x409f0951, 0x6fa7d774,
+    0xbe90d621, 0x0bd47dce, 0x362586d6, 0x734a70ff, 0xc5212dee, 0xf0decb70, 0x0a00a691, 0xeb296502,
+    0xc68bc33f, 0x109dcd9e, 0xed6d946c, 0x03065723, 0x24b1bb35, 0xacad9579, 0x892eba69, 0x5bdf4789,
+    0x6b372d11, 0xcf646e52, 0x169fce31, 0x859cbf74, 0xfe68e52f, 0xc016d090, 0x59fd7206, 0xf6e4a8d9,
+    0x2ec9f5a4, 0x1c8943eb, 0x1a0696a8, 0xfe4890fc, 0x335af5e4, 0x27d59e88, 0x440bab98, 0x0c762bb8,
+    0x31f003b0, 0x0677e23f, 0xddb567b0, 0xad517194, 0x22a0f253, 0xb7802590, 0x581c8ac3, 0x39a57eb8,
+    0xd801b7af, 0xb236df6a, 0x486fe5b4, 0x07b9ab64, 0xf904ed2f, 0x97bebef9, 0x37b8b4bb, 0x90631264,
+    0x727c4966, 0x55db180d, 0x03bb711e, 0xe53f1f90, 0x285fbc5d, 0x9594fa9a, 0xb263ef12, 0x3596d1e3,
+    0x2bb18da3, 0x62607cc8, 0xf423689e, 0x4f8d964d, 0x22dcc7ca, 0x175f7365, 0xf2129613, 0x69d03ca4,
+    0x594d4c88, 0xde8e7f0c, 0xcb38b3bf, 0xd2cb7736, 0xcfdc5989, 0x1f7ec2f9, 0x430b5fdb, 0x964c677d,
+    0x65b16d88, 0xb568b37e, 0x26ce497b, 0xc9b88ddd, 0xf0ec6ec1, 0x032bdaa8, 0x9615c026, 0x57875af9,
+    0xc3885a41, 0x10646b1d, 0xa4d96a51, 0x8f270aac, 0x5a9d3b3a, 0x253439dd, 0x183b5a98, 0xef8bfb4a,
+    0x6949a161, 0x8cc0ebef, 0x04fceb59, 0x68be1ce4, 0xa4df7e58, 0x1ba3d9c0, 0x12a51407, 0xf4ab4134,
+    0x0ebf5ec3, 0x002611f6, 0x00093ff5, 0xade88eec, 0x3a5d9b8d, 0xdcd2776f, 0x5813bf42, 0xf8412de7,
+    0xcb21cffd, 0x677e47f9, 0x4ea9d189, 0x03565d16, 0x43a1c039, 0x14c32528, 0x13bb4169, 0x0e058ed9,
+    0x670b82cb, 0x9ecb67ee, 0xc6067894, 0x79cfcfbb, 0x22f2cbe4, 0x90d9ed47, 0x385c4a5e, 0xdb88232c,
+    0xd4e103c5, 0xae72d41b, 0xc687e6a1, 0x590be85d, 0x3afc92b6, 0xa484cdc3, 0x060140fe, 0x7d6edea2,
+    0xeee0fd6f, 0x61c2bd5e, 0x7f4abb06, 0xb216a7dd, 0xfbba2218, 0x3e208b29, 0x2b29b46b, 0x92bca735,
+    0x86b7e640, 0x6b4e2c72, 0x2994c1a2, 0x9db6d8d7, 0x3222f450, 0x6f575cdd, 0xed31110b, 0x717e8e73,
+    0xf6458f80, 0xff6e625c, 0xf6aca21d, 0xd767ed5b, 0xce51158e, 0x5f8d1259, 0x849a6af0, 0x2db933cd,
+    0x34bbc173, 0x6c880f32, 0xeb24faa3, 0x1bd8fcc9, 0x723cbc07, 0x292a00a8, 0xba88a5f3, 0xddaacfc2,
+    0xfae38740, 0xb9d4c713, 0x256948ef, 0xa1f6f700, 0x112fc06d, 0x157c06f4, 0x06387849, 0x37eae5b2,
+    0xf9d9d499, 0x92498166, 0x5ea91748, 0x14984118, 0x487d7781, 0x57f78c1f, 0xb4fc3ec8, 0xbc442b44,
+    0xafb4719f, 0xec3487cd, 0x4cd0efff, 0xfa4f731b, 0xb8011e8c, 0x2742d29d, 0xa43fbc25, 0x727b3f0d,
+    0x6202d1ec, 0x85f2d0e2, 0x505270a3, 0xc6134ef6, 0xcd99cd4d, 0x5ca7b6ef, 0x620157e1, 0x20d9c1fe,
+    0xe2fab097, 0xb4430fbe, 0x57bc046f, 0x1d78e46a, 0x31e82c31, 0x786254c3, 0x8bae1092, 0x8fe70cda,
+    0x08cb142f, 0xec86e1bb, 0x4ad77f5b, 0x3ea52320, 0x4dadad73, 0xd49b7f17, 0x87a6251d, 0xe59ff038,
+    0xb1d2bce4, 0x1889efd2, 0x01e59224, 0x67ab315c, 0x1aaa176e, 0xb71be5ec, 0x66c03409, 0x14bca03c,
+    0x87df0237, 0xe787f2ec, 0x6b8d3b5a, 0x15dc5313, 0xf4b16bcb, 0x973d1fc7, 0x175e261d, 0x4f875bf2,
+    0xe34a7ca9, 0x1f7c884b, 0x15d0c26c, 0x9fddeecc, 0x8ff44a2d, 0xdb1ab2cb, 0x495a0f31, 0x79a88cc9,
+    0xc63d12ae, 0xd7b9657d, 0xe6853025, 0x08163dc3, 0xbf6def6c, 0x37795f8b, 0x0e6eac96, 0x2813c40c,
+    0x1150d5d3, 0x45ef594c, 0x6d7f7f97, 0x224cff71, 0x9909caea, 0x1795adaf, 0xdc4b97e1, 0xc3c79a43,
+    0x2476d057, 0xd7678b75, 0xa51e6532, 0xb5bfa2bf, 0x5a192a91, 0x3213e583, 0xb1b76478, 0x1e87fb4a,
+    0xd3420af7, 0x62c4d968, 0x6fe7edde, 0x873d4913, 0x9a8fae05, 0xc02992ef, 0x9bff9604, 0xe531b139,
+    0xfd666b82, 0xc892cb8f, 0xe970c0d9, 0xc9066401, 0x5ff98f2d, 0x9fc8950c, 0xfe2d3b4a, 0x70add688,
+    0x9c3844a6, 0x43910a48, 0x3ef47714, 0xc785a32e, 0x361deb12, 0x55ffe103, 0xbf050ea4, 0xe7a396ec,
+    0xe1547d5c, 0x928e5a67, 0x071d3d39, 0x9deaa452, 0xe8faaef8, 0x344ebe8c, 0xf600ca8c, 0xd6d64cc9,
+    0xa8458f9d, 0x60898d39, 0x57a2b61b, 0x90f5c9a2, 0x6aa8d7b2, 0xce69837f, 0xfa000346, 0xd765d6fe,
+    0xb3fe6922, 0x7700ec94, 0xa352a374, 0xccddb055, 0x64c5f95a, 0xb717e2c7, 0x19529628, 0xd1aa6678,
+    0x7ae58247, 0xfe773690, 0x7c0be695, 0xc8ca3451, 0x3d7b14d6, 0xd2f152cd, 0xa2329c57, 0xf6e53d9f,
+    0xf7eb8519, 0x093eb7ef, 0x0162c878, 0xd9972437, 0x6e273b03, 0x6dc4005f, 0x047b098b, 0xb325e431,
+    0x2839e6fb, 0x6930fcf6, 0xc044a80a, 0xa7ef56c5, 0x25dbe3b3, 0x3473554a, 0xbad9006c, 0xfb32dcc3,
+    0x31befb97, 0x0076eb30, 0xc914c6f0, 0x5fac273e, 0x6034d54b, 0x39c67aca, 0x6869bfb7, 0xf817ae6b,
+    0xef522320, 0x8ad8c118, 0x19516af7, 0x191fe1f5, 0x7ffad27c, 0x42790aac, 0x1e81b888, 0xd49c04b3,
+    0x9ac690c9, 0x35a755ec, 0x21cf73fd, 0x86c29762, 0xd87cd88c, 0x2250a352, 0x499f3f53, 0xfe56684a,
+    0x79d3ad73, 0x96dc48f2, 0x2556f823, 0x00887163, 0xc6fa7dd3, 0xa1a77754, 0x075d7823, 0xd28feb0b,
+    0x22cb131f, 0x6a258052, 0xd99de306, 0x881b2dd0, 0x45784d8c, 0x089005ff, 0x527f61ee, 0x9251cb26,
+    0x8925ed95, 0x0f27d9ce, 0xacdcbb04, 0xb95e9bfd, 0x4bae9923, 0x774b88fa, 0x061267da, 0xd557ea77,
+    0x3a3aa737, 0x36e0b6bf, 0x1abd0ec1, 0x79862916, 0x8be638aa, 0xdc18b821, 0xb1802628, 0xa58e0cc0,
+    0xb07d1701, 0xbaa556b9, 0xaed56072, 0xaa327752, 0xcd94e20f, 0xe9bea8ac, 0xb3b0e80c, 0x7b6fa58c,
+    0x56070cfc, 0xc87ea17c, 0x158e1f8b, 0x1b5908f2, 0x56c3ef2f, 0x0c4c1960, 0x1463f957, 0x722f409d,
+    0x3cfe1f1f, 0x8229dba3, 0x9b6227e0, 0xe566e44e, 0x2b0f8b51, 0xf4acd27b, 0xc55ab120, 0x2e731f72,
+    0xd669151e, 0xc248fc68, 0x48c9a725, 0x9c21144f, 0x3cc7a04a, 0xc6a61ec2, 0x1ab9ebc1, 0x2807412e,
+    0x06bef353, 0x26f9f7ed, 0xb6b33362, 0xed1a1c9a, 0xe3fbb609, 0x16d29055, 0xdd78447c, 0x1f893455,
+    0x8dead19b, 0x07b24c6d, 0xa387b1c4, 0xccfdc1b4, 0xf466ed94, 0x09390435, 0x62db3f76, 0xbec4b4e6,
+    0x4243477f, 0x167d3794, 0xc3d1f737, 0x2dfd2356, 0x361196bc, 0xb8dfef2d, 0x9d4ffb15, 0x6bde6917,
+    0x5a68e188, 0xcac9e6a2, 0x5e6cdba0, 0x27aca3d9, 0x1538e858, 0xabf7a5f0, 0xe9cbaaa0, 0x587d981f,
+    0x21b3094a, 0x82ca0d45, 0xa5542cfb, 0x01f1a193, 0x4bb359e6, 0x8ea482e5, 0x86dc768f, 0x25df9845,
+    0x057fea72, 0x0da88ae4, 0x40cfd503, 0xabc1cc8d, 0xc1e1bcb0, 0x98a9a1f4, 0xbf9df953, 0x2455478d,
+    0x7c76c051, 0x84cfd07b, 0x37515cde, 0x7e02b7d1, 0xcdfd4d69, 0x5d2166e6, 0x6e165270, 0x3126478b,
+    0xebc3f82f, 0x12162ba3, 0x32ff691c, 0xa218b24b, 0xb198c973, 0x493afd96, 0x95e0c8da, 0x1c959ef5,
+    0xa5194bc2, 0x50f28a47, 0x8b3183a7, 0x1dd8d986, 0x0f8f47c2, 0x72277e03, 0xf423f0b3, 0x62ce4177,
+    0x9fa99c4d, 0xc37c7e2f, 0x6db5c0dd, 0x37cfeb3c, 0xc4601695, 0x7a6e4dbd, 0xffcc4a21, 0x55c3f94d,
+    0xcc9006cd, 0xca2a7d11, 0x255b9031, 0x57e3386f, 0xdd4ab046, 0x7a598d53, 0x23d392ad, 0x8bb66acf,
+    0x5415079d, 0x991638d0, 0x389b00ab, 0x386791fa, 0x1ca19670, 0x895a0994, 0xae2f81de, 0x3265e328,
+    0xe1f08a46, 0x988de7b8, 0x2e373386, 0xc1be8e1f, 0x02b3cbfd, 0xe1e2f1c8, 0x1864d959, 0x26d2484d,
+    0x290eda5e, 0xc731b01b, 0xc2f80674, 0xcffb86ab, 0x6f6d8725, 0x4ba7fa59, 0x3f864008, 0xd77e212a,
+    0x27c852fd, 0x3f1f86ab, 0xd4e4cb66, 0xe6ec4ce9, 0xa3945ce9, 0x591e7ab9, 0x942e47a3, 0x13995f7e,
+    0xf418ffa1, 0x1dc6fc5a, 0x3fece1ba, 0xd5f5f886, 0x483ff4b2, 0xc095e5dc, 0x0b461146, 0x49cea07c,
+    0x44526dc6, 0xc4a9bf65, 0x2175ebe9, 0x24552d4c, 0xc6600c9c, 0x2881dc14, 0x650667eb, 0xcb20c81d,
+    0xe09cc761, 0xe2a363e2, 0x7342b883, 0xc48f88ce, 0x75d6bd8c, 0x3195afdb, 0x08a86b2a, 0x11b7d239,
+    0xce80417d, 0x5b628faa, 0xda2e9a11, 0x0c3f585e, 0xefba2e5f, 0x688ec794, 0x8c3f863a, 0x80ae3a90,
+    0x9e684c32, 0xb8525843, 0xbe95d84b, 0xcf84eba0, 0x16157527, 0x53fa622f, 0xd8ccd58e, 0x31a5ef33,
+    0x4d03a73a, 0xa057914e, 0xac3aac9e, 0xb3a145ec, 0xd90e4264, 0xa77431a1, 0xa9d55bb3, 0xff5241ca,
+    0x5470a4d9, 0x52ae4ac0, 0x37581e99, 0x75de16dd, 0x2f4a42ee, 0x98e7f5b9, 0x84e88b22, 0x40819044,
+    0x642b2626, 0xe84c42f5, 0xfec42bf3, 0xe4ef0936, 0xce08bf90, 0x1e917a10, 0x927a68a2, 0x23dd4f0a,
+    0x27bf3aa2, 0x2a9ec067, 0x5f13420b, 0x90b5aa8a, 0x692eaef8, 0x065c277a, 0xf5a57c52, 0xbee37e79,
+    0x155cf40b, 0xc6280b65, 0x48f00d87, 0x9f4c74e0, 0xde012e04, 0x615fddfd, 0x50b782e8, 0x6d2a6c77,
+    0xe6029f06, 0xb1af49c7, 0xd1cdc051, 0xed984455, 0xd29a47f2, 0x19ed2cd9, 0xc229a5f7, 0xce5e268d,
+    0x308dd2cf, 0xc9810b31, 0xa4cef349, 0x3572d7ca, 0x5642e0cf, 0x52dd5c49, 0x31dbfc73, 0x4d21061b,
+    0xffa299b2, 0xd3a805e6, 0xa67f8ef8, 0x91d0aef9, 0x1235409d, 0x2e22acf9, 0x45d913b8, 0x0bc59cc3,
+    0x0d641a0d, 0xff23a890, 0xa4d26cb8, 0xdfd1a2d3, 0xf97b63b9, 0xa897f84f, 0x2f3999fc, 0x8e6e6dc4,
+    0xfdd660d5, 0xcfdf67b5, 0x1a48fde5, 0x6a5dffac, 0x45d5eb99, 0x8eb369a2, 0xd16911fa, 0xdc075df9,
+    0x97f6c316, 0x0f4408e3, 0x6ece8723, 0x5d83e0c7, 0xfd0f99d1, 0xdb288df9, 0xa2320c88, 0x9b893093,
+    0x03a044a9, 0xb63573f2, 0xe3fab7dc, 0xcc921ed9, 0x0fcf156d, 0xf28f64a6, 0xd3b1a14d, 0x8d0f52aa,
+    0xb8d44182, 0x3d7d9414, 0x819bb201, 0x7dde988e, 0x4a596460, 0x028c506b, 0x34d73fee, 0x2e293519,
+    0xdd110f31, 0x87e78f80, 0x510cfe91, 0x3da72bc9, 0xf50ba6df, 0x8a6ef877, 0x5c7b3c58, 0x52fe6971,
+    0xeb049c70, 0x146868b3, 0xb63ce4d3, 0xe78bd9e2, 0x9dc41e0a, 0x83f8c1b3, 0x903ae2b1, 0x0f4a6922,
+    0x81c4f0d2, 0xf56789c4, 0x8ab817c6, 0x62137d6d, 0x7f68c1dd, 0x703e861f, 0x74bffdfa, 0x21016d28,
+    0xf2c3e191, 0x23b79201, 0xb93e0d9d, 0xa74f4c0e, 0xcc4fb331, 0xa39e01c5, 0x1d9c3c7f, 0xbdcb16c5,
+    0xbd424fef, 0x41c689bd, 0xfa81b564, 0xaa22ef1e, 0xe27c0e8e, 0x57fb9d9f, 0x7fd986c6, 0xcc905d22,
+    0xb39af385, 0xb53b250e, 0xd3f49b87, 0xb48839c1, 0x506aba0a, 0xc2b6f218, 0xe8a3af55, 0x7798ca48,
+    0x5578dd00, 0xca99eb49, 0xbbe4152e, 0x94164d66, 0x3c580ea1, 0x48c1b9be, 0x33006c4e, 0xd2249237,
+    0x862fc609, 0xbb017355, 0x0746ca2c, 0x4cd4c789, 0x5d0b1bf3, 0x343210a8, 0x1b93d08e, 0x8d25ebb8,
+    0xaf59be53, 0xf7052894, 0xbf6a7993, 0x46deaa04, 0x34407328, 0x1f541026, 0xbe54cc28, 0xcdcd0c3c,
+    0x3ed99dc6, 0x63b1f5fc, 0x5720fc60, 0x00439e13, 0xe324e44f, 0xd60914ee, 0x9cf761e5, 0x1c68b3f1,
+    0xd111f247, 0x9f8da6ae, 0x5d511295, 0x839a1104, 0xd41d72fe, 0x4fb09b6d, 0xf90eb0e7, 0xdd295ee4,
+    0xd8477719, 0xba9d240a, 0x237bcafa, 0x6189902d, 0xd0709c3f, 0x850c68e7, 0x74a64b40, 0xac294c5b,
+    0x6f992815, 0x0f5a66b5, 0x188adce8, 0x90061c83, 0x0316b503, 0x40574936, 0xce664bfd, 0x49f612f3,
+    0xee7938ca, 0x544f6b2a, 0xfd81c119, 0xee80a3d3, 0x7df64ae5, 0xb9ba31a5, 0x07f9cf10, 0x6c10045c,
+    0x0ad27637, 0x60807c6a, 0x1be90517, 0x8c2f100b, 0x13d83872, 0x8c758ce1, 0x3a0d25b0, 0x3c6a2921,
+    0x59a83ca7, 0x13e85a14, 0x8d52a99a, 0x9e4c4dbe, 0x5d02dcd9, 0x3d39757e, 0xd01a62fd, 0x6db5ad14,
+    0x4ccbb6d5, 0xd80020ce, 0x398b7e7a, 0xa3a026db, 0xd988d1cb, 0x72c9a668, 0xcb27c872, 0x5ea85173,
+    0x4fc5fae1, 0x65de770f, 0xc71280ca, 0x5803fc70, 0x2f7f5456, 0x8f8298c5, 0x5fade6ee, 0xc93be1ca,
+    0x111cefab, 0x2649c92e, 0x120c4d55, 0xfe309a11, 0x23e40126, 0x6072f2f9, 0xa7424bd4, 0xa1c00f18,
+    0xdaf0acc7, 0xfac1e0b5, 0xefb600bf, 0x65ab5e5f, 0xd9b0db03, 0x7ebe6619, 0x95bb07d4, 0x28c031a1,
+    0x237b3048, 0x7967bc58, 0x2d76ed4f, 0xadd472b5, 0x4f6cbae0, 0xd42054ef, 0xa0afea83, 0xa09146a1,
+    0xfb2cffa1, 0xf5f69078, 0x857be30b, 0x0968bdbb, 0x91e37389, 0xdb521f7d, 0x33c30905, 0x9fec6ac8,
+    0xa3dcf251, 0xc39bafa2, 0x820ff2be, 0xae34b1f6, 0xbc8fac16, 0x5c624525, 0x1d10523e, 0x21c418aa,
+    0x5393a3d0, 0x363c835b, 0xc45d1e96, 0xc50dac97, 0x036acdfc, 0xe59bd527, 0x3583a400, 0xe02d7dcd,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0007067388259113537318333190002971674063309935587502475832486424805170479104 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db5, 0x6404173b,
+    0x00000000,
+    0x908ca0bc, 0xfcb3e6ac, 0xeb6e4e02, 0x07f472ce, 0x3b87c8cd, 0x23878f3f, 0xf058e192, 0xc1e4ece3,
+    0x89933c85, 0xa21bca43, 0x98118343, 0x672d1ca4, 0x4d8032e7, 0x9e6cfc69, 0xc3a210a8, 0x9a6de994,
+    0x5675c769, 0xcba307f4, 0x73f4a0e0, 0xf996e2a0, 0xb2480362, 0x83cc3523, 0x1b3abbeb, 0x747b3538,
+    0x303303c9, 0xb6c6ad3f, 0xd39ad5a1, 0x25e044e8, 0xdc1d92a1, 0xdbc1c4da, 0xf8ebef5b, 0x1e91f2b6,
+    0xb30a97ac, 0x0ed82297, 0x00987e2a, 0x819b48ab, 0xc010e898, 0xe0632540, 0xf15fd524, 0xad125083,
+    0xd4dddde0, 0xc13922f9, 0xe5a57bfa, 0xa495be1b, 0xff40bff8, 0xdb76833c, 0xceed7ae6, 0x26e98fbd,
+    0xf4097f16, 0x28718575, 0x65b2dd64, 0xaab04fc2, 0xb09c06fa, 0x26836ee7, 0xc492600b, 0x9078141b,
+    0x21753cf1, 0x955e20f4, 0x0daec3ad, 0xc859f584, 0x57186131, 0xc14b3992, 0x46777e72, 0x14023f87,
+    0x5990efe1, 0x9b63e523, 0x7f7a8cf7, 0x86f748d5, 0x750912b7, 0x14cf88da, 0x21fe8fd5, 0x29ff0156,
+    0xc052120b, 0x4b878572, 0xf5b7e9df, 0x45c7def7, 0x721c21d6, 0xf825fd2c, 0x1f40f778, 0x8db9b0eb,
+    0x84268202, 0x0b645efc, 0x5b9a4862, 0x980624c4, 0x887ae155, 0xe68282f1, 0x1dac4eb1, 0xf4ae83f5,
+    0x26bbfb91, 0xbaeb0ead, 0xa8f04708, 0x55b42a6d, 0xc32b2b6a, 0xbe34287b, 0xe1700a27, 0xdd5d1631,
+    0xfd34ef2d, 0x7a46d791, 0x7af8e100, 0xd8cc839f, 0x2f9ed739, 0xc9e8a36a, 0x86e35e9f, 0xdb5b5eff,
+    0x9276e157, 0x8b152beb, 0xbebb46d1, 0x97f4b202, 0x64453756, 0x64d35cff, 0xe21dea86, 0x3735ef6d,
+    0x0b62b98d, 0xd3ba11bf, 0x4289d62f, 0x55a9be03, 0x2b4fbf43, 0x9b15d32f, 0x6ddf9305, 0x94efeb73,
+    0x5efb845e, 0x813a3015, 0xa3817457, 0x69ee6972, 0x48e2e477, 0x78763f1f, 0x374dfc34, 0x1c7248d6,
+    0xa2f50d41, 0x6bd5a6b6, 0x4e82dc6a, 0xf2de5dd4, 0xdaea2c55, 0x1cebd357, 0x734dadb6, 0x2ecc3139,
+    0x362f6042, 0x1dd11213, 0x6152c52e, 0x87f3c842, 0x0a73eb3f, 0x9c38c53b, 0x74e3caa1, 0x565675d0,
+    0xa91c326e, 0x39b4337d, 0x759d77d3, 0xba0957b2, 0xffdd4aad, 0x50499e35, 0x5c317dc6, 0x2e8c3f91,
+    0xb82ce6e8, 0xe5f3c583, 0xf7c07f40, 0x7ecc0a64, 0xaee00ffd, 0x792003db, 0xd6f154e2, 0x12f574be,
+    0x08510cd8, 0x24de930b, 0x6cacb4a5, 0xd274a554, 0x931ed78e, 0x5d602da4, 0x2ebabcdc, 0x58f8f28f,
+    0x0ec3c30d, 0x9822c83e, 0x452bad5c, 0x8846cf51, 0xe86a8eb2, 0x75c1d4db, 0x79341a7b, 0xa9d5b7c4,
+    0xcb574685, 0x57ff133a, 0x57da5406, 0xbc7df202, 0x1dba1dd2, 0x6d4e2a49, 0x56dfb802, 0x33993ec3,
+    0xa35b255f, 0x5643a267, 0xea0768df, 0x6504a6a9, 0x78f52309, 0xcdaf285b, 0xe24027d1, 0xb97807cf,
+    0x06fdee9e, 0x8bb4958b, 0xef36e092, 0x9fb312e4, 0x0d0a248c, 0xfd7f3120, 0x56b0886a, 0x8d63c203,
+    0x200c2cbb, 0x14177d71, 0x61c13ca3, 0xc31a2d0a, 0xa3218878, 0xee205ad2, 0xabe8ed38, 0xfaf168f6,
+    0xf4e29e8d, 0x0be3eee9, 0xf7c2293c, 0xf8c7e902, 0x2eee56eb, 0xd1013373, 0x200e9233, 0xb48939ea,
+    0xcb422ccb, 0x9163e6fc, 0x4598bce0, 0xa571104c, 0x0bae4d84, 0xda5211ae, 0x7adc7b9a, 0xaaa04189,
+    0x10e0b9b0, 0xc4ef109a, 0xbb7a48de, 0x71082d17, 0x85bf8317, 0x884e1bb8, 0x0d0cf431, 0xf3ac5e5f,
+    0x4530afb9, 0xa852e312, 0x81e661b7, 0x86a9ecc2, 0x3983623c, 0x6ef342ce, 0x6de67956, 0xba5c7cda,
+    0xc1ec71b9, 0x30b0a072, 0x2673c060, 0x11335bdc, 0x71c92e25, 0x80db651c, 0xe1a86ecb, 0xfbbec0a9,
+    0x194a8e70, 0x5ecdd525, 0x6c3acc14, 0xd70e9760, 0x69b0f813, 0x399e7f70, 0x5c06a057, 0x257cbc28,
+    0x5eaeeea2, 0x5c390250, 0x99bd269b, 0xa5d0e925, 0xbe50c656, 0x357e2bfc, 0x016bb026, 0x71fb6935,
+    0x78dfe25d, 0x2148b145, 0x08fecdb8, 0x149334fe, 0x7b139737, 0xab1b2a6b, 0x883fe026, 0x34b06a15,
+    0xd5805799, 0x3723fc12, 0x6f8de1d0, 0xbdb5a77e, 0x7dd96e4a, 0x5ab0b1de, 0xf3182140, 0x49ffe782,
+    0x506cb51b, 0xc91bd370, 0x3f2bd8ae, 0x86095d49, 0xe86b2fd8, 0x69b4698e, 0x63facdbd, 0xaa1188c8,
+    0xba68b9fd, 0xe1af242d, 0x6a7e4831, 0xfc6db3f4, 0x6595c2d4, 0xcdc52fa4, 0x4b3e7929, 0xa73b3fec,
+    0x162e93c8, 0x167e2bc8, 0x4da8d902, 0x3242bf4f, 0x91ab6e26, 0x26974145, 0x98ab2ff6, 0xc4262680,
+    0xb762986d, 0x7d6050c5, 0x20b0e19b, 0xaf687544, 0x7072c57f, 0x7ac8ed3a, 0x784bfce3, 0xbd9c355c,
+    0x536252b3, 0xce963415, 0xedb72d58, 0xd348dbfb, 0xa463893e, 0x9485d5b0, 0x208fbe8b, 0xc211a1b9,
+    0x45a6d8ee, 0x71e8ad6c, 0x644094c6, 0xbacf7b44, 0x3eae0109, 0xad97394c, 0x301f3a01, 0x1b1c120b,
+    0xd34b77b4, 0x9d0f75af, 0xd0c3be3b, 0xbcd64216, 0x3651afef, 0xd1802a23, 0x5d614586, 0xf689480c,
+    0x517e715d, 0x625ee9f9, 0x82fdb50a, 0x182f2f21, 0x27f9a9cb, 0x077339f2, 0xa328820b, 0xfeab4b66,
+    0xa65f6261, 0x37d0ae29, 0x46df2f96, 0x7f1dbfff, 0xde34434a, 0x08933f21, 0x9e083f03, 0xb9da7cb5,
+    0xdb202452, 0xf7560c05, 0xbaa25c3b, 0xffc67e71, 0xb2ea1060, 0xb2b25af8, 0x85776d90, 0x5a80fa64,
+    0x68598dc0, 0xe45d04a9, 0x0ccf631d, 0xf3a6c7e8, 0xb82b41d3, 0x20b37831, 0xb51876dd, 0x48fb11c5,
+    0xd3d569a6, 0x0fc71ebf, 0x74463db9, 0xa4914289, 0x51608156, 0x6dfee131, 0x98ab0018, 0x91104c73,
+    0x7b44e571, 0xc3b3ed0b, 0xcf1f1ac1, 0xa5ce9958, 0x0b6279ff, 0x109e870f, 0x72b4359b, 0x83ddb74e,
+    0x0fac4d0b, 0xfab808dc, 0x271d3c9f, 0x4c3b3f19, 0xfa293cb6, 0xe3c276ee, 0xdfee938d, 0x1468aac2,
+    0x345715eb, 0xb66d02f1, 0x50549c11, 0xb27505ac, 0xb1e695fd, 0xfe820d74, 0xec90099c, 0xb164073f,
+    0xfd19f828, 0x7dd89e33, 0x27b3b5ed, 0x13249c37, 0x167f81d5, 0x13654d29, 0xeac862e8, 0x3bc53917,
+    0xe8650aa3, 0x9b9af727, 0x6746a963, 0xef627a26, 0xdc03fc26, 0xe1d45ee1, 0x80b958c8, 0x2b6f77eb,
+    0xc153e44a, 0x7bc765e1, 0x66edca3d, 0xd014b065, 0x999b5238, 0x49f04273, 0xf6546d80, 0x170b6a59,
+    0x4c51b91d, 0xb3453e04, 0x0c1abc39, 0x688569c1, 0x3ec2f07d, 0x043d2814, 0x1ace0d9b, 0xe97af7ff,
+    0xe49e843f, 0xd4c62cea, 0x05d5f237, 0xe88cc091, 0x8dddad8a, 0xe0fef02a, 0x18b41ef0, 0xfd01e0b0,
+    0xc013b9b2, 0xa6a8ae2b, 0xfa639a93, 0x211d096e, 0xb31f066c, 0x823e5fff, 0x9f45a054, 0xc60fb75c,
+    0xae1077f5, 0xab2bcc2a, 0x5b5942b9, 0x328c0f28, 0x1a9e8bcb, 0x78f82cac, 0xa651e6a5, 0xd7083062,
+    0x4dc1f271, 0xa8a5a1bf, 0x5c694119, 0xff007e4d, 0x2aaa7437, 0xfc4ba9dc, 0xcc770aca, 0x7a10aa5d,
+    0xe08a59b2, 0xcb69f285, 0xbee737f1, 0xf9caf50f, 0x7a78fa89, 0x48c83f1e, 0xc96cb467, 0x33a99120,
+    0x57bb16ce, 0x01b22634, 0x8a7e6e84, 0xa46736cb, 0x4c6fb662, 0xb99d458f, 0x3843c2bc, 0x36122c0e,
+    0x3af833f2, 0x962f2552, 0x64244f0f, 0x37631713, 0x0efaa235, 0xa367dff3, 0xded78d4b, 0x38204ace,
+    0x4690b584, 0x60a54d8b, 0x27a0e1f6, 0xb27b8718, 0x0671aef6, 0xb013e477, 0x01bc914d, 0x0c681b84,
+    0xe8653dc4, 0xa21c259d, 0x6bf93e9f, 0x1421c4b5, 0x17b1615c, 0xb2cf8dfb, 0x9233ea81, 0x52ca16d4,
+    0xa05e1e25, 0x998f2985, 0x9286f8bc, 0x3bc3b250, 0xce65f3f6, 0xcf8bddee, 0x0224e163, 0x01b7b2df,
+    0xff96670b, 0x74b657aa, 0xcb26fa17, 0x2210df40, 0x306b3b02, 0x06601c2f, 0xedad7841, 0xe5157508,
+    0x21e341af, 0x4499f743, 0x1f915bc2, 0xa26bbf90, 0xd9c42417, 0xdb578c12, 0x750f2319, 0x2cf6d061,
+    0x35cd21ec, 0x03e06c50, 0xa367b52b, 0xf1baed1e, 0x02a2f054, 0xb2debc79, 0x7c5957ad, 0xeeb22dde,
+    0x43ffbe9b, 0x92f6246e, 0xf7048c79, 0xf42f67ea, 0x87e627c1, 0x7241376d, 0xd988d2cd, 0x9da38c8a,
+    0xde0b20d0, 0xeb487e12, 0x90e6bf1f, 0xdcc76716, 0x1ccb5710, 0x1eb5b3ab, 0x0094bf61, 0xb9cfa4e6,
+    0xdda149c2, 0x8405650d, 0x6315cdd7, 0x0fdd80e3, 0x2372686e, 0x5e0354c4, 0xe589e1bd, 0xf705a3bc,
+    0x7c86f306, 0xd402f495, 0xb8b902ba, 0xec42625f, 0x9b1b66d4, 0x7fe8bbba, 0xfa6fad61, 0x2f153012,
+    0xb250adbb, 0xd92b11db, 0x7076c548, 0x30e71911, 0x0b4c467d, 0x6ccb91b9, 0x26093140, 0x1c5f36f4,
+    0x59a9830e, 0xc4e28bf2, 0x826fc021, 0x4bc0a6c7, 0x079a67d7, 0x6349bfc6, 0x22299ec4, 0xf182329d,
+    0x39de92e9, 0x4c68f8cf, 0x70e35299, 0x1082ef18, 0x805cca67, 0x5a6af666, 0xf39256f3, 0x04c8b4d1,
+    0x00179fd4, 0x5b698fcf, 0x07ed0690, 0x06d5edf0, 0x6e993359, 0x03b91c55, 0x4885e09a, 0xa9180928,
+    0x88681541, 0xd618ad77, 0x21191597, 0xadd13920, 0xc960df50, 0xd01f1d0c, 0x3c8734bc, 0xacc02a80,
+    0x6c35dcd8, 0x10aa4be0, 0xb218843c, 0x0d6beaf1, 0xd5b91ec8, 0x0e44e0eb, 0x1c502260, 0x9316f36b,
+    0x046a889c, 0x93271b7c, 0x90ccb053, 0x9c30979e, 0xda748ffa, 0x16f6e30e, 0xac0b7eeb, 0xd51f4da4,
+    0xbd8a095e, 0xca548eca, 0x71460edf, 0x41ddb732, 0xcd318e35, 0xeb16bfa4, 0xfe6bd561, 0x9bab92df,
+    0x3c306c36, 0xa02cafab, 0x089506f7, 0x4fc8eaf8, 0xaed0c2b1, 0xad64adb4, 0x7dd8ee93, 0xb71b9250,
+    0x4d4510f2, 0x29753f35, 0x8dc19ba0, 0x81c5e46c, 0x7e7bfca4, 0x1c9eb6c8, 0x98c762f4, 0xba07117d,
+    0xecf8d03c, 0xb4ab4152, 0xa3c24fed, 0x7f6754bf, 0xadcf134a, 0x7ad4ccb4, 0x1a5187da, 0x231b51ee,
+    0xc50f0b53, 0x1956f87d, 0xab263af8, 0xf00cda9e, 0x2b43a635, 0xdbd9e4d8, 0xcacc426f, 0x0743476d,
+    0xd5119b5e, 0x4718970d, 0x904d8754, 0xc685ee24, 0x9aa509ea, 0xd6ba5655, 0x706ab71f, 0xd38e5743,
+    0xc9bd59fb, 0xaab5319d, 0x5182c87e, 0x81dbe27b, 0xc4d3453c, 0xe5e14dae, 0x6b3ba598, 0x77fffbff,
+    0xa9661130, 0xecac58bd, 0x542b08e1, 0x3e5c1ab5, 0xf16147fd, 0xceaa47c1, 0x6004d5aa, 0x02344b39,
+    0x1ccb36ff, 0xfe8714d5, 0x7049b55f, 0x65b4f97c, 0x776c093a, 0xdf69e49b, 0x35cdde6a, 0x9c73c837,
+    0x4563adbf, 0x05035fa2, 0x7b97bd72, 0x5b1b2bc7, 0x789cff01, 0x6cf45208, 0xc54a7349, 0xa1131738,
+    0x138aa779, 0x5c72ad34, 0x2d13cc95, 0x5ed892e3, 0xf58cd673, 0x41da1b28, 0xca815dea, 0x493d9385,
+    0xc4febbc2, 0x9adcd308, 0x66b045f8, 0x1cd12e64, 0xa457e08f, 0x586975ec, 0x2023a8ee, 0x88dd7af3,
+    0x9af8343f, 0x216f5632, 0xf3bcbab1, 0x81f87f84, 0x1675e0ab, 0xd8c75fad, 0xeb847aa7, 0x6261d335,
+    0x92a76055, 0x8a66ceb2, 0x0bd35a66, 0x7b2a0d94, 0x3160fafd, 0x055a0dac, 0x1b6697a8, 0xa50477e1,
+    0x96c4841d, 0xf3d7f1e4, 0xee96b0a3, 0x39c575ac, 0xef54704c, 0x150cc744, 0x8b2bc811, 0xb003a034,
+    0x916f3b7a, 0xe396d85a, 0x9c8119f0, 0xab6833b2, 0x6b5b412c, 0x06221223, 0xa73ed8c0, 0x9964a74b,
+    0xdd69ad24, 0x29528ab3, 0xa13ecf53, 0x633038a3, 0x9a6bce4c, 0xa95497d6, 0x8bbf650e, 0xf77d9d66,
+    0x1d57f6bd, 0xd8f20280, 0x0c732e04, 0x4e81f99b, 0x58033521, 0xc8f960ba, 0x2c7adc78, 0x07fa0d08,
+    0x8d1a8d84, 0xd0be3cef, 0x55d311c5, 0x18eec549, 0xc15a4cca, 0x0aec00b3, 0x672848bb, 0x30d12fb6,
+    0xc63e8182, 0x9cce9152, 0xba002bb8, 0x5c662395, 0xcef7f2ae, 0x9a713563, 0xfc81d7c1, 0xfc5ba3a8,
+    0x75de191e, 0x90564ecf, 0xda2599f3, 0x0e902093, 0x1cc1dc91, 0x2761a6df, 0xbadc4638, 0x875ebf97,
+    0x12232dd8, 0x2ce84227, 0x48ce12e6, 0x614fac39, 0x12a9af86, 0x03256cb1, 0xad52b8d8, 0x84809e98,
+    0x10f31e78, 0x487167db, 0x2aa69c9b, 0xc3b0f23c, 0x5e03b028, 0x6015ff27, 0x583f9abf, 0x7c7a6210,
+    0x7bd09706, 0xec08bd54, 0xc6e7684f, 0x45fcd4cf, 0x075cd5d5, 0x77076ac8, 0x5b83c7c9, 0xcee86c14,
+    0xbeabc613, 0xabf9789f, 0x54ef92b9, 0x135a6852, 0xddd4c4e4, 0xb9b67dae, 0xdb5e7d35, 0x25acceca,
+    0x0173bfde, 0x13ab58dc, 0xb180f1ab, 0xe8370fff, 0x48011318, 0xa98da00e, 0xe9b925a8, 0x3b981946,
+    0x8caa51d2, 0x1a06bde7, 0xe1e9fdc5, 0xcc773c3a, 0x312cd554, 0x4cbb1204, 0x7277245d, 0x856b9244,
+    0x51dadd3f, 0x63db2fcf, 0xc8886e59, 0x580d7d90, 0x15b82a5b, 0xe0a18ce9, 0x68640c69, 0x8400d482,
+    0xd8f3fd6a, 0x302ac0ee, 0x9db28858, 0x4fc0e53e, 0xf7bc9ffd, 0x58d26a0d, 0xfce582cd, 0xa59b9c3e,
+    0xd26b8fa6, 0x96df4212, 0x971f4fcc, 0xa213d480, 0x8f146f54, 0xc92392d6, 0x735e3c30, 0x96c99675,
+    0x07fc1e82, 0x6675c7c9, 0xe9ff4211, 0x94d56ef7, 0x2b543482, 0xb1f1df05, 0x8e989dd4, 0x3eac744b,
+    0x7c491984, 0xff8ac34e, 0x07a630f8, 0x54e02b8b, 0x6b553f49, 0x88f7e47c, 0x4a61a10f, 0xb9825477,
+    0x87a56a1a, 0x95e79bb9, 0xb65eb514, 0xfd130654, 0x963896f6, 0x0bb5de0e, 0xff58b633, 0xc4a4ba4c,
+    0x79d8388b, 0x072f083d, 0x66146f7a, 0xb604ece2, 0x4e4d24a5, 0x3fa83f94, 0xa2389dc5, 0x30f441e4,
+    0x3ff87172, 0xfd8c12c5, 0xdc7fde47, 0x4bec4711, 0x0061527c, 0x6ebbd7a0, 0xb586d050, 0x8b8cfd3d,
+    0x3acd03d5, 0x35261315, 0xfe266cb8, 0x02260065, 0x3609f6df, 0x3c08c10e, 0xaa3bd993, 0x7f93a295,
+    0x515fb37d, 0x348e47eb, 0xca8df82d, 0x8c388102, 0xc95b1e31, 0xc5a40184, 0x0d31778e, 0xc0588755,
+    0xcc9afc9e, 0x693eb6d5, 0x21e75881, 0x89840c1b, 0xe598cc67, 0xd3b7519a, 0xe9f1c5b9, 0x9e4c8beb,
+    0x85fc5d17, 0x1e0ddbce, 0x09b16c63, 0x935b16e3, 0xde34f30e, 0x77f910f5, 0x56a92bf4, 0x1e3e38b9,
+    0x1b8ba7bc, 0x4eb12912, 0x99602400, 0x589e39e6, 0x91bd4b67, 0xcdc981ee, 0x6ec1e42d, 0x386cf594,
+    0xe193fb0d, 0x4a9ccb4b, 0xf56a85f7, 0xd34fe018, 0x77b72af8, 0xa987e71e, 0xff2c9733, 0x1fe77d83,
+    0x5d02181e, 0x23684566, 0x4460d581, 0x8637a38e, 0x3f9a09dc, 0xd31986fd, 0xff2b1b8c, 0x5f77bc16,
+    0x376e0808, 0x3159c09a, 0x2135864e, 0x3d2d21ec, 0x4af3a306, 0xc6a8d759, 0xb19263d1, 0xc2cb2688,
+    0x211c2f9c, 0x933aed4e, 0xdcb88768, 0xb6f4af16, 0x337b2753, 0x2fbc0096, 0xd3d5488c, 0x90561dc5,
+    0xfe04c194, 0x3d5d670a, 0xcb7e2f56, 0x710e053f, 0xa2234740, 0x60d50ee1, 0x35204cb9, 0xe959366d,
+    0x77a73a6f, 0xe4ee3982, 0xce6a839b, 0xd849ebe8, 0x4d202f8f, 0x4c6ebb9f, 0xde8dd374, 0x119b8a63,
+    0x0f3d5fba, 0xcbd030d3, 0x2b877f96, 0x74e2e1f6, 0xa574cab1, 0xca8c43ff, 0x1c32187c, 0x71343101,
+    0x88189509, 0x6f6324c3, 0x931ebca3, 0xdbca6ab5, 0x90e2c456, 0x2a3a8689, 0xd6c2f0cf, 0xfd35e39a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0003533694129556768659166595001485837031654967793751237916243212402585239552 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46da, 0xb2020b9d,
+    0x00000000,
+    0x8805f128, 0xa541d3eb, 0x76d5ac72, 0xd48f1ac6, 0x957def48, 0xd609fa73, 0xe3fb8845, 0x60a380fe,
+    0x3278592e, 0xf0b25de3, 0x28751d4c, 0xf1bab6ab, 0x3ebd8efb, 0x871decbb, 0xd80cd177, 0x4f72b481,
+    0x19c2c8f8, 0x0a3a3807, 0xca8db13a, 0x76a78654, 0xbca2e43e, 0xaeb2b135, 0xf191dbe5, 0xd06749a1,
+    0x2f0e3b64, 0x04530cfe, 0xd0531629, 0xbe8c57b4, 0x5f64f356, 0x71c9a3d1, 0x04d263ee, 0xacde1ffc,
+    0x821db251, 0xaa3a5343, 0x598e08cf, 0x15f4c524, 0x34e8a9c9, 0xe5394bbf, 0xb0f3fe5d, 0x1b92ebd5,
+    0x047cbd86, 0x409f4a87, 0xd770db0b, 0x2fd3569d, 0x7c65a689, 0x8034f068, 0x28f2c1ab, 0x95acc2ef,
+    0x1081e0f6, 0x80884ce3, 0x4f5c92f4, 0xf8095740, 0x53fd969a, 0xa213eb3e, 0x3cc8f316, 0x61470865,
+    0xb46bded5, 0x00613129, 0x22e3c0ed, 0x8845f9f2, 0x15ff187f, 0x48f9b57c, 0xe1d2ec65, 0xd46ef422,
+    0x0bb04cb6, 0x0c4fa375, 0xf3c30491, 0x33bae6bc, 0x69a94c0a, 0x1eb61e79, 0x08ec1fec, 0x570878d9,
+    0x28687e0b, 0xe53dcdaa, 0xd5583e6f, 0x266065fd, 0x10d732b2, 0x3108f071, 0x9928ba97, 0x8c37634b,
+    0x2da9d138, 0x24e51c74, 0x358b8302, 0xeb69c759, 0x6c9785f3, 0xf7253c6a, 0xf15f08e2, 0xff099047,
+    0xde6bc607, 0xc55dafb5, 0xb73ef1a3, 0xa466c3dd, 0x15555523, 0x296469e2, 0xba4e99dc, 0x845c3bc4,
+    0xead961f1, 0x61478287, 0x6e1ab404, 0x57c89c4c, 0x7dea417f, 0xf6672d3c, 0x254afcad, 0x21d5a7ba,
+    0xafc79255, 0x083e426d, 0xc97c06dc, 0xf12099b7, 0x44a9ae06, 0x5d3cf863, 0xf3265bd3, 0xe8651bf6,
+    0x6959e05d, 0x93f17c09, 0x6d69e64f, 0xb175daa5, 0xb00d47bb, 0x61b14b77, 0xad4d64d3, 0xd1ad471d,
+    0x5ec06f72, 0x2483fc7a, 0xe14f678c, 0x9e37e954, 0xeabc003f, 0x6f931ff2, 0x32df758c, 0xf6d077f1,
+    0xd8be7797, 0x0bd0cd7d, 0xeae269c2, 0x5c1b12dc, 0xcf49bb5b, 0x32ebf55f, 0xd4cfac28, 0x77f35ff9,
+    0x5cbf8bb7, 0x6f8b763c, 0xa5690428, 0xcaeba88a, 0x93b60376, 0xe2df55c4, 0x8d1e04dd, 0x34153002,
+    0x924c30a5, 0xba8ad68f, 0x2f5265b0, 0x53c83e1f, 0xe876cf0e, 0xe9c1c32c, 0x57cdf831, 0xb620f357,
+    0xbab0c892, 0x07b85b73, 0x490391b5, 0xc5e02ede, 0xf17f065a, 0x3c031bec, 0x690d4884, 0x73dbc8cf,
+    0xd3f6e16a, 0xb7c2d03e, 0x1d0c76f8, 0xe36d01b7, 0x44b2f5c3, 0x0594ca78, 0x27bd7345, 0x5e4739e4,
+    0x45ac258f, 0x47e6374e, 0xd2c1e143, 0xdea1bdda, 0xba12003a, 0xd2c67708, 0x709f8200, 0x1e9b572e,
+    0xdad1fdc0, 0x3ad01c91, 0xc3bfdc8c, 0x9e7da3bd, 0x33b482f5, 0x4bd9c653, 0xfcff565a, 0xfcd703a6,
+    0x15815b23, 0x78eb62ca, 0x58976700, 0xd15d0e2a, 0xb4789ff1, 0x6dec5e1d, 0x0a813b3b, 0x999b49fa,
+    0x3841c6d8, 0x704475b9, 0x6d5bd4d7, 0xd34c8104, 0x6cf3951d, 0xfcab0085, 0x9d320b32, 0xa89a9be2,
+    0xa620f4e4, 0x55f688f1, 0xd75a2d7b, 0x374c65c2, 0xfb632d37, 0xdcf53469, 0x73d54701, 0x564be63d,
+    0x3d7a3f1e, 0x10c08a02, 0x96b9fd1a, 0x8cdadb94, 0x1b457da2, 0x07b5223b, 0x8fa69f36, 0x2e4de4e2,
+    0xcafdf9df, 0xfb4f554b, 0x566f2c2a, 0x21fc2898, 0x5799a4d1, 0x155f5ded, 0x2b78d4d9, 0x9a5886be,
+    0xb2263d70, 0x3325193a, 0x1754e79d, 0xa3bc68fc, 0xc0306798, 0x6ce805ed, 0x65c4db58, 0x4ccab531,
+    0xfdf56918, 0x85ee824b, 0xeb5100d2, 0xef55d91f, 0xeca916e7, 0xe46f8450, 0xf78255e6, 0x54eb1f51,
+    0xcd5e211a, 0x259bf7b1, 0xa27c42ff, 0x0162bfcc, 0x85bd80e6, 0x01ffc5fc, 0x10fba9c5, 0x0e425348,
+    0xde448ea5, 0xed1a6b61, 0x09f390d6, 0x68d95710, 0x5d25b39c, 0x203427fc, 0x8935f2fe, 0xc231f0d2,
+    0x51e0b2b3, 0xa4f68af0, 0x81dbd29b, 0x0615cd43, 0xca507af9, 0x61753243, 0x58e7ffa7, 0xd45b8e91,
+    0x5cc23b99, 0x2da52137, 0xbf7c8f34, 0xd39650c2, 0xabbf6e8d, 0x9fe340cb, 0x24e18cb6, 0x26e69e19,
+    0x0db01915, 0x313f9880, 0x6dfa8443, 0x0061af4d, 0x3b338131, 0x55739a52, 0x6dc6718b, 0x98bac204,
+    0x3150ffdf, 0x7ca0be11, 0x4c0314ad, 0xa2de8b12, 0x4578993a, 0xc2c6b845, 0xd1ff10b6, 0x6fbc1744,
+    0x496316e5, 0x917d4370, 0xb3eda44a, 0xed8ba462, 0x193688af, 0x9da7c4c1, 0xb78d2cdb, 0xec9e9959,
+    0xd4168e8e, 0xc5bba602, 0xc3e04928, 0xdaf5c340, 0x21701112, 0x72d63e64, 0xa6ac31f1, 0xf1ef5272,
+    0xbc42bf4f, 0x690e6eb9, 0xc27d4914, 0x27cf7b87, 0xcaa82a92, 0xc5fe27c0, 0xd913867f, 0x68cfdcf9,
+    0xa8105509, 0xf6225a4e, 0x4e76281c, 0x1582b716, 0x4894721f, 0xe6f6bf1d, 0x660cf421, 0x24f20d66,
+    0x113a2cdc, 0xd1e3b0be, 0xf3b8c3fa, 0x5a2425c6, 0xb5e464c5, 0x46540ba1, 0xebd5c523, 0xda4f9af3,
+    0x2489e6e3, 0x7764c72f, 0xfeaa43fe, 0x379bf435, 0x8aeb6a14, 0xfd4d54af, 0x485b847f, 0x61fb7240,
+    0xca3b4a14, 0x16aba34b, 0x0dc3fb41, 0xe4bc5cb6, 0x03eb680a, 0x15bfa058, 0x37a481e7, 0xd39f5c71,
+    0xd1ff219f, 0xf34fd4ae, 0x587c936b, 0x45de00d2, 0x04085631, 0xaf9898f3, 0x89aaf4a0, 0x41e8d475,
+    0x3ab5c363, 0xd2745039, 0x31c438d9, 0x44ee2347, 0x30e362ee, 0x1ee60fa5, 0xec0812f9, 0xa59f0033,
+    0x08c71a02, 0xc50d52de, 0x997be45a, 0xce50212c, 0xb110978b, 0x09842a8b, 0x889ba92e, 0x7ede87e8,
+    0xb307bdc7, 0x49865306, 0xc9c50259, 0xfbc4d59d, 0x3e4f93f2, 0x1aa480ad, 0xfabf3b48, 0xd7196ced,
+    0xfcb339e2, 0x7d4a1ef8, 0xa6ff788a, 0x31c70cdf, 0xfbb6bc35, 0xc76d3557, 0xfd0ffbd9, 0xf0958c76,
+    0x2f19e4e7, 0xb4bd6aa9, 0x5e669086, 0xc9731296, 0x5394794c, 0x6fadde9f, 0xd62d3cfb, 0x8242d41d,
+    0x044a8e05, 0xedb24b9c, 0xc5189ea1, 0x7b2f9e52, 0xa2c16f9c, 0x168da9be, 0x013a4367, 0xb6a2e171,
+    0xc55cd18e, 0x074dfc45, 0x84d24925, 0x3cbda356, 0x39e6cf13, 0x6677974d, 0xd2aa74ad, 0xb29d546f,
+    0x4cce5d41, 0xc4308d53, 0x8b12051d, 0x30992387, 0xd680587f, 0x79a0593d, 0x07ce7b16, 0xc1899183,
+    0xf80f3697, 0xdb426d10, 0x9e349c5b, 0x0839d48c, 0xcf8ff003, 0x9a9745da, 0x848d5f6f, 0x48d56459,
+    0x008101d8, 0x7e3dc395, 0xa70c10f3, 0x6f3d30a6, 0x798b264b, 0x95b24efd, 0xb3a6d67f, 0xd63323a9,
+    0xa6f64aa7, 0xf77dc054, 0x1a517d1e, 0x6a8c138c, 0xc73383a7, 0x15b3a7ac, 0x2533d13f, 0x9a252f35,
+    0x8ffc523c, 0xc05a817e, 0x51145525, 0x2b94607d, 0x63da917e, 0xa5766d78, 0xfadbeb73, 0xc4001e20,
+    0x85ec9762, 0x9614b7c4, 0xb6241218, 0x5f925af1, 0x918bfc79, 0x97f2e6ab, 0x4a6087cc, 0x3c1a09a0,
+    0xdb5c11b4, 0x04e2d6e2, 0xa8cac9b5, 0x1edf7dcf, 0x29aed9d7, 0xe56c5135, 0x6a9d6995, 0x7a9af22e,
+    0x5ad7626f, 0x037622ab, 0x4296ef70, 0xa758aa11, 0x17e0d6cd, 0xe7ab2c81, 0xdeca9c6f, 0x3a9cb04e,
+    0x1ca4a0ca, 0x00939cd4, 0x4a6fff3a, 0xef49ce8d, 0x9b116f5d, 0x875d3829, 0x6f0e51bd, 0xfdc10e4c,
+    0x9af50072, 0x2d830197, 0x340d55ac, 0xd906d28e, 0xf67f70f6, 0x413bf114, 0x2877d61e, 0x7487a437,
+    0xf0b7aae3, 0xc004c1fd, 0x8d54dfab, 0x45e9a0c7, 0xe063bcd1, 0xad0a612d, 0x25be2ab1, 0xf7e222fc,
+    0x7537f221, 0xc45af0b0, 0xdb1e6805, 0xdab26611, 0x6a16fdb0, 0xe52f9d48, 0xfe70f73c, 0x791f91fd,
+    0x3c557baf, 0x1674acdb, 0x2cb1c61d, 0x0f60bfae, 0xb0cb6a6f, 0x412b5e1d, 0x0ada0ef9, 0x2ffcedbc,
+    0x1a1bea71, 0x77b46aea, 0x0251ea66, 0xf9e8a5d6, 0x790f7d8d, 0xe2fd6b43, 0xe37dbd5c, 0x498a268f,
+    0x5f71acff, 0x531e08bf, 0xa2343a8d, 0x1f01288f, 0x12f32b80, 0x17edb4cf, 0x0b534190, 0x39a56308,
+    0x1a3e34ed, 0xf6daf08e, 0xc075c66a, 0x97dd39b3, 0x001fef69, 0x6d558bc4, 0x7039414a, 0x8f202bff,
+    0x69874cae, 0xb0673a86, 0x3333f35b, 0xf3d1a01e, 0x861dcba6, 0x1bf7eff1, 0x72a1c0b1, 0x6e5a75e6,
+    0xad97df21, 0x870acf1e, 0x19a80ea8, 0xb091e9ba, 0x2255631c, 0x6ec76397, 0xabc85867, 0x0f9999a6,
+    0xafb63874, 0xfbb588bb, 0x7fe53cf0, 0xb030794d, 0xb651cf08, 0x9f3b7fd9, 0xf0d78fc4, 0x5f424b10,
+    0xeb1ef19d, 0x8a19a640, 0xb8a00594, 0xa50571e3, 0xd4bf1454, 0x10b13b4a, 0xa304d8e5, 0xc0afb235,
+    0xc18801ef, 0x65a05f73, 0x5c1ca37d, 0xd34815c4, 0xe51f3c15, 0x245ca85b, 0x3625370a, 0xeabeb852,
+    0x8d91e079, 0x5713a49a, 0x6b82dbb1, 0xe724a9e0, 0x3d9fb3de, 0xee35b9e2, 0x1e853a7c, 0x36e2f8d4,
+    0x9eca6200, 0xf18d7b06, 0x12ca51b9, 0x5bbbf365, 0x8f48be5e, 0xf36d7938, 0xb8e7d1d1, 0x7b61f996,
+    0xae94e852, 0xc18ebdb1, 0x117c985d, 0x5002c99a, 0x9320d5af, 0xc3e008c0, 0xbc1ca738, 0xbdbfb88d,
+    0x492035b5, 0x47cee09c, 0x39f29d9f, 0x583015f5, 0x1c2e5288, 0xbcddb87f, 0xc5660632, 0x7b8b7beb,
+    0xb100c639, 0xbae26761, 0xabc6eb62, 0x76d92e62, 0xae29700e, 0x9134f341, 0xfe80fe59, 0xec90e1c4,
+    0x1c6e563d, 0xa84a94a5, 0xd69d9850, 0xe5f07acc, 0x5c03dbae, 0x97bd162a, 0x8fb6d7de, 0xfefd8042,
+    0x55ae632c, 0x0e85cecb, 0xef6ef71f, 0x5c4dba6d, 0xddee48d7, 0x44cd6d70, 0x5cdecec0, 0xd413c23b,
+    0x2dfba646, 0x7dfc3f79, 0xe47b6cd7, 0x65219365, 0xa3131742, 0x3714afa1, 0xc78da9d1, 0xe9334434,
+    0xa15b2501, 0x6fe0c672, 0x1fa54950, 0x4e28fe4c, 0x89ab2d74, 0xf58b2d54, 0x6718b3b6, 0x46584b77,
+    0xa45fa27e, 0x590cd0a1, 0x19ba7f14, 0xaf4d50ab, 0xb3f1ccdd, 0x379c06e3, 0x0460b9cf, 0xf58861d7,
+    0x762c10fa, 0x71bd2428, 0x05814538, 0x329cd903, 0xfe00319c, 0x36e13974, 0x355702da, 0x7fe2b402,
+    0xcfd3134c, 0x5b448ff0, 0xde6403fe, 0xfcec1451, 0x52086edf, 0xa6947441, 0x9c55a7ec, 0x1f754e48,
+    0x8c9869ee, 0xc5a03768, 0x809ef060, 0xe28b4df8, 0x93838106, 0x8ac2f24e, 0x85bfc2b8, 0x00139286,
+    0x09e3f5e3, 0xded64c56, 0xfb6b2868, 0x8085ceaf, 0xc01b5756, 0x34383210, 0xaf6f98d1, 0xd698facf,
+    0xf442b102, 0x8cd87440, 0x5e76d109, 0x020032c7, 0xed069d2e, 0x69aaecb3, 0x6915b17f, 0x48255d75,
+    0xafce589c, 0xb0ee650e, 0x8146e534, 0x780fac30, 0xedfe2163, 0x78b91280, 0x7211f62f, 0xa420d7f7,
+    0x34c9dd8a, 0x66f60b9e, 0x74bad9bd, 0x6326f7ca, 0xac0ecc14, 0x250d02db, 0x69253476, 0x2e07ac6e,
+    0x4f233538, 0xf1f593b4, 0x8420ad39, 0xdf585af7, 0x0d7ea2e2, 0x15e5c7d1, 0x88dbe79a, 0x7309529c,
+    0x36e76490, 0x5a56eec2, 0x1043a816, 0xf80607d0, 0x975e58bd, 0x8fcdf155, 0x66eafd5f, 0x00f42162,
+    0x5921e27e, 0xdbc8daac, 0xe3092830, 0x33521d7d, 0x31d8926e, 0xc226ad98, 0x6ad26b14, 0x6e72c1c4,
+    0xda67c7e0, 0x8ae04489, 0x9c7b6c9b, 0x36fbb290, 0x818398ab, 0x96b5865e, 0x070b0320, 0x05b504bd,
+    0xf2e16f47, 0x125ba9d6, 0xb69e705e, 0xb9be37fe, 0x7473f27a, 0x7765c391, 0x478c6616, 0x1988a978,
+    0x4247cc3a, 0xbcab859d, 0xe4ce4a23, 0x9a59a551, 0xcbe59286, 0x0037f9a8, 0x6f70af04, 0xbbbf3140,
+    0xeca83def, 0xf2e92292, 0xeba4679f, 0x0d184e86, 0xf9d8f997, 0xf2a75087, 0x9e792b75, 0x7424be8e,
+    0x234ed310, 0xe239f0fc, 0x9e23465b, 0x4a847b36, 0x778e26c3, 0xc2cecf2f, 0xbb9122e5, 0x1d5c516f,
+    0x7e3867bb, 0xc9fadde7, 0xe80b39c0, 0x2e13a019, 0xef435d43, 0x08c13488, 0x63e0bc23, 0x175d1434,
+    0x1e1c9224, 0x90fcf00c, 0xd535ea93, 0xc7fda44a, 0x7167023e, 0xa7ec0800, 0x753039a7, 0x994a4907,
+    0xf6b22a0f, 0x4d7791c2, 0x7ea41b4b, 0x1f3a19bd, 0x1e4139be, 0x84c4854b, 0xdb7dd0e2, 0xc1be159a,
+    0xc5c9908e, 0x7ee31100, 0x652512ba, 0xc4886be1, 0x21ebda0a, 0xef629ea5, 0x365c90f0, 0x33520cff,
+    0x8e680b01, 0xfe0c00b4, 0x42407922, 0xa9e22c77, 0x51bcf9fa, 0x1e308fbb, 0xf5078987, 0xe6874c9d,
+    0x76fe2b51, 0x0c9fb7c7, 0xcf385e8e, 0x3eeb388a, 0xeb434c83, 0x0ff3b12d, 0x6c059e43, 0x5ee149a8,
+    0xcc99f8bb, 0xddff4cfd, 0xc1c5d62d, 0xc28e3876, 0x109135f2, 0x4a044384, 0x86777338, 0x92b75fee,
+    0x1703e740, 0x7c68a243, 0x3bc1c76d, 0x640f73e6, 0xa84912d4, 0x73b86ea5, 0x41872fa7, 0x2bf12613,
+    0x5696a28f, 0xd8b66492, 0x3e8ba0e1, 0x354586ab, 0x92eb1aba, 0xba4a80fb, 0xb607af85, 0x1581898f,
+    0x6ff45393, 0xc9a45cf5, 0x943869fe, 0xd0921c8a, 0x0b3dd3d6, 0x26e84570, 0xb582a407, 0x1a60c114,
+    0xe652efb7, 0x57340406, 0xc91e99f1, 0xff302de3, 0x39784bc7, 0xfbf5ef2d, 0x1ccf68ab, 0x0e6bcd0d,
+    0xb5b1d0f5, 0x8620b8b0, 0xd2e90174, 0xfa36492c, 0x2f729a7a, 0x392100d1, 0x39ae9cdd, 0x473d366f,
+    0x63e92faf, 0xc21a1da2, 0x3dc4c892, 0xc1d1a59b, 0x2e0b77b2, 0x3db7a46d, 0xa722789d, 0x7143a174,
+    0xeda7ba3d, 0xd2c9b322, 0x7826c418, 0x27bd5811, 0x0ab8a7cd, 0xb4f26bde, 0x3d55eddb, 0x3df73eb8,
+    0x71c6394d, 0xd6f9e297, 0x9a7b83ab, 0x32fa1cd9, 0x087eaed5, 0x7abd6132, 0xfb4f56d2, 0xe7411ed5,
+    0x7e13d21d, 0xef7b8ab8, 0xa7b48358, 0x7737b47d, 0x7dbc466e, 0x6cb5c868, 0xcfa2b911, 0x8aa25f6b,
+    0xe9c87789, 0x1fe23d85, 0x0c72818d, 0xb17056fc, 0xcc4bbe5b, 0xca2ece0f, 0xd6c524f9, 0xe8076697,
+    0xfc0da4e4, 0xa3c33990, 0x632921e5, 0xa9ba0b0f, 0xf7a25c9c, 0x4a4853f5, 0x26854c01, 0x26b0f46b,
+    0xa5549e79, 0xf8aa55d2, 0x1d25d776, 0xfbd8907e, 0xf46acaba, 0xa4c5b1d8, 0xd52cb2db, 0x5f7e8321,
+    0xce95695a, 0x6f33e375, 0xcea5c005, 0xa43be3fe, 0xb7d9e4e1, 0x071f8514, 0xcefb929e, 0x328e89ae,
+    0x1aa73cc6, 0x3cdee424, 0x18661f48, 0x9db49d87, 0x1af9066f, 0x09d81d96, 0x467143cc, 0xcbb24b2f,
+    0xd43a1351, 0x08614a99, 0x609cacf7, 0x5ebd6ba7, 0xe4ddc980, 0x7afde041, 0x9af0f8f9, 0xabb8aa44,
+    0x3fca4cdc, 0x4000e727, 0x5d71bf66, 0x808f1d6d, 0x9d0cbd3a, 0xd17af37e, 0x843abb11, 0x587fbe2d,
+    0x6f6b961e, 0x90a060fa, 0xee305274, 0xdeff5517, 0xcad8f4bb, 0xa62b56a3, 0x246a4378, 0x33db5657,
+    0x12006e05, 0x52e6ba1a, 0x3c330dfa, 0xfa17c0ed, 0x9728f55c, 0x672dbf3a, 0x53999daa, 0x396c4261,
+    0xa2331087, 0x7edba29c, 0x96ae7941, 0x5d0760ae, 0xa8204801, 0x66fe229a, 0x0d6e20ba, 0xf304fb2e,
+    0x9610d561, 0xe1dbc642, 0xe42e4b51, 0x7d8ad449, 0xb43f055d, 0x829fbb05, 0xed19bc1c, 0x89fb73b6,
+    0xdc48f603, 0x9ee4661c, 0xd7771537, 0xbdc1fc49, 0x700c3065, 0x02f6cb09, 0xc8dbe84f, 0x0302c1db,
+    0xc1d91df7, 0xe0d9cb44, 0x5f412da0, 0xbb8881a4, 0x1674626e, 0xebd894b6, 0x16bb2702, 0xf69bdb74,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0001766847064778384329583297500742918515827483896875618958121606201292619776 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236d, 0x590105ce,
+    0x00000000,
+    0x83f35d0c, 0x41fdc6fb, 0x720416e4, 0x5a14a470, 0xb7bc23af, 0xb1660e45, 0xb420baff, 0x21a0f6ee,
+    0x1bfed644, 0xfb525da2, 0xe71eb73b, 0x5969ede2, 0x6d1410a1, 0xf299ec7a, 0xd1b99a2a, 0xa9477022,
+    0xb048623d, 0xb3c8beda, 0xae69f53e, 0xe7bfac74, 0x6f9ef337, 0x153f8017, 0x111ea3e8, 0x7321385b,
+    0x66132ec8, 0x4e38b4eb, 0x3c4f85d4, 0x73d7f2f9, 0x4c5b6565, 0xff9e3b49, 0x46eb7f7b, 0x690c1f77,
+    0x51d4dc0d, 0x15431460, 0xe2581e3c, 0x1c4c8b2c, 0x688d359f, 0x0b9def28, 0x9889f7fc, 0x25b7ac5a,
+    0x1a995651, 0x1864264e, 0x818752e8, 0x478848a3, 0x2456d47b, 0xd87f157e, 0x3551a534, 0x730d66e6,
+    0xefdd59d5, 0xd1d7a4d9, 0xbd32bcf0, 0xc9b61d6a, 0xffd85218, 0x7b8cb9d3, 0xdb9c877f, 0x0026f954,
+    0x35c69c2b, 0x784a5ee7, 0x1dfde5c4, 0x78575859, 0xa864fe96, 0x57c6b2c2, 0x88a2da91, 0x0badc12c,
+    0x7d672ead, 0xcd5f93c3, 0xc62a48d2, 0x8f27e701, 0x46700db8, 0x4f811b54, 0xd1b79816, 0xbb947325,
+    0x4a725321, 0x7b523e99, 0x0ba12e05, 0x26738a40, 0xfeb4583f, 0x0d126d3b, 0x13c66576, 0xafcc9a0d,
+    0xb9353fd2, 0x3a551556, 0xc7492c29, 0xa27b8826, 0x611e7680, 0x2a5632d2, 0x2cb4ca12, 0x9cda6ef4,
+    0xfc898520, 0xc2414a8d, 0x6933e6d5, 0x5b58bad3, 0x7ebbccb2, 0x6ffe9e88, 0x8e5b5f22, 0xebed7517,
+    0x2017e7ca, 0x6d11b334, 0x52d8b7fa, 0xe1cced69, 0x50efd5c3, 0x781f4b34, 0x320a7801, 0x42cd6833,
+    0x5acb1c61, 0xddcbdcc4, 0xba04d3cc, 0xa8302bb5, 0xef3e2717, 0x680411e9, 0xbc33dfae, 0x06429ec8,
+    0x798d6f41, 0xf1a1240e, 0xbbc668fa, 0xc4d9163c, 0x68d40984, 0x48e6bb19, 0x63fd6187, 0x889fb033,
+    0x570ae90f, 0x08841fd8, 0x0d67dedc, 0xe7228591, 0x2ae82007, 0x9c52a9a1, 0x26e613d5, 0x6cce8b77,
+    0xf614a57c, 0x25f6a234, 0x3cd69280, 0x5ace00a9, 0x6b0b33fd, 0x5e6c59c9, 0xd6ec76ef, 0xd0feaabf,
+    0xfc971945, 0x397b5acb, 0xd2832c4b, 0xc962be00, 0xf46a2719, 0xcfb13f8c, 0x3685f662, 0x436cc5ed,
+    0xc638111e, 0x9b993179, 0x436ea9d8, 0xf8f288eb, 0xcd18c9df, 0x1ede8bca, 0xb6e54eec, 0x1042d29c,
+    0x8fa8bd73, 0xa42e7ef2, 0xca927b17, 0xf1378dda, 0x6f152181, 0x30b5dd71, 0xb4044c91, 0x761cc32c,
+    0x868a55d1, 0x705c42a8, 0xd3095f7f, 0x00f59390, 0xcb8c84ca, 0x81150d1a, 0x90c516db, 0x50a0f61a,
+    0x57938e81, 0xb376a1b5, 0xc01fdf26, 0xaea1fb59, 0x0bed7a7d, 0x7b05092c, 0xb0ffe580, 0xcf834a72,
+    0xdaee6fc0, 0xe639787f, 0xae9b735c, 0xc54c7cc9, 0xde5887ba, 0x0a175fd2, 0x7bd38c57, 0x5f1a0be3,
+    0x79ae2da3, 0x13936a0c, 0xcf1dd83d, 0x6d5c2b06, 0x7626ea55, 0x483d8edf, 0x45486116, 0x0b81c46c,
+    0x8d99970e, 0xfc8066c0, 0x40be614d, 0x90a36f7b, 0x49d6dc4e, 0xddde7b38, 0x570bd698, 0x12f0b59b,
+    0xc1571547, 0x5f36af7e, 0x07bd35cb, 0xc2f1c72b, 0x26ad1d82, 0xc70a8eee, 0x042eff9c, 0x12cff78f,
+    0x8c48e6e7, 0xae7731a1, 0xe06dbd94, 0x3a392f40, 0xc165e2fb, 0xff7b24d1, 0x14570ae5, 0x58058ac0,
+    0x0e6151c9, 0x5f500644, 0xed8a76c1, 0x8bd71153, 0x6081c514, 0xbfee47ef, 0x26e76a33, 0xd35652ac,
+    0xcdd1783e, 0x5f8e69dc, 0x43f68079, 0x24458ba6, 0xbea4912c, 0xeca3c0af, 0xd464ac65, 0x8c9bbeed,
+    0xf1a52d5d, 0x8462263d, 0x54c0c3d7, 0xbc9710ce, 0x97e7f484, 0xa245cc4b, 0x732492d0, 0x1fecd59a,
+    0xe988e9ec, 0x01c44aee, 0x17c005f3, 0xa8eb00cc, 0x8880d9f0, 0xc5347a70, 0xa757294a, 0x66000abf,
+    0xfd550442, 0x6f8c11f5, 0x5d55aa9b, 0xa818a53e, 0x2bdc0fd7, 0xc20bf25a, 0xe74f1944, 0x31d587c7,
+    0x0e78cc6a, 0xdf0b5f46, 0xc3f2de46, 0x6f5bb434, 0x7660c4a4, 0x785d651d, 0x7846df62, 0xd7592483,
+    0xac3c4782, 0xebaae112, 0xe089731e, 0xfbc3cd9d, 0xf49d2f87, 0x84f441bc, 0xf8fcdd46, 0x4a3f6ecd,
+    0x69a4fd36, 0xd0e20f8b, 0xbe840a4f, 0xfb6316b9, 0x9888bab3, 0x2a491e5f, 0xdd1dd033, 0xbcdc900e,
+    0x1289721f, 0xfa634c4d, 0x951a3887, 0x63e707ee, 0x44ee68ca, 0xc3607351, 0x01f058d3, 0x91688a8f,
+    0x79986a14, 0x6bd05661, 0x11eff5c1, 0xbf1d2c56, 0x3d024113, 0xb3950ad5, 0x6d8b8bd2, 0x6b931a35,
+    0xb8333917, 0xa390591d, 0xef554dda, 0x52627994, 0x2aa3d139, 0x3f99baaf, 0x1ba502dc, 0xd326a38c,
+    0xab5a3df4, 0xc06dd5f9, 0xd810f6e7, 0x19734d2d, 0x94f95cb4, 0x980294d8, 0xb9978a87, 0xfa80a633,
+    0xb304e2bf, 0x47218703, 0xe1266301, 0x9449472d, 0xd5b20347, 0xe178db07, 0xad9a567d, 0xd1d71d47,
+    0xdea76e96, 0xa29935cd, 0x61452bdd, 0x2f44a2c1, 0x740e08ec, 0x402144d0, 0x5a2130ee, 0xd66c9edb,
+    0x237d155a, 0x457d733f, 0xb70c1da5, 0xb2d6e074, 0x2366028d, 0x6a8a1180, 0xb34c8cff, 0x1d228582,
+    0x42be771a, 0x0449f861, 0xe1176948, 0x53f4a544, 0x7fbddcf7, 0x4a1d8814, 0xfbbfcdbc, 0x26fb6d5e,
+    0x4b6c409f, 0x4ed43b2d, 0x0c5a113c, 0xf4f3cf86, 0x6bdf5e1e, 0x007f3b2c, 0xd0ed6f1c, 0xf3a100ae,
+    0xdc042a81, 0x4b585c6d, 0xfeb6ba83, 0xfb0d07c1, 0x84f81b6e, 0xc7b304a7, 0x73a4de4c, 0x017f9df8,
+    0x81fd147c, 0x78552f1f, 0x55a54fa3, 0x48a794af, 0x1e5ab25d, 0xf347c449, 0xafe9c157, 0x81dafd52,
+    0xd350eca3, 0x2a6314a4, 0x21bd8065, 0xe6f8c8f9, 0x0a05d03f, 0x75c32ffe, 0x826290ee, 0xe401b636,
+    0xe066b2ef, 0xb5c4b940, 0x08ea68e5, 0x043718ff, 0xed9d047a, 0xf49d0db4, 0xa5791e30, 0xde41c262,
+    0x5618e13b, 0xf73d3046, 0x71487568, 0x08b9897e, 0xee6061e9, 0x5c0de7ea, 0x75beb493, 0x43c8374d,
+    0xa0669d2f, 0x5d3df89f, 0x3070b6be, 0x55159136, 0x6b2fc64c, 0x3932b4fa, 0x81e800c8, 0x24273af8,
+    0x8d675761, 0x71eb0472, 0xdbc6646e, 0x33e22d4b, 0x6fdbfe91, 0xfd379cfe, 0x93608a38, 0xf3fab463,
+    0xad896faa, 0x93f7b26d, 0xb46db830, 0xc4b1269c, 0xaff10862, 0x324c3f4a, 0x500410e0, 0x08bd0bf8,
+    0x096d474e, 0x8c910691, 0x258a65c6, 0xc7d5c881, 0x205bbe1a, 0xa6c1c450, 0xb13d263c, 0xac612060,
+    0xa0a6b02e, 0x83e9cdc7, 0x959e99b3, 0xc7352926, 0x08888f72, 0x7070b0dd, 0x854ea202, 0xed95dcec,
+    0xf2ec596f, 0xbc83513d, 0x992a0281, 0x68db09f1, 0xdf813185, 0x0e58b0ca, 0x03577d86, 0xeb127e2f,
+    0x14d9f5b6, 0xf24267a0, 0x17a4e9ef, 0x373992ce, 0xe89ae511, 0x47a3a56c, 0x6226091f, 0x9722e6d4,
+    0x0a1cd9b0, 0x45dc17ea, 0xe2fa6776, 0x4c3700bc, 0x80931a08, 0x56f8bf88, 0xc45e8776, 0x0128b76a,
+    0xb7d0bc17, 0x7c9df656, 0xea783a06, 0x9fbe19eb, 0x0bf78524, 0xbd6c961e, 0x20deed28, 0xf90d4b81,
+    0x70ac8d71, 0xd337d319, 0x44dfc0f7, 0x6833f70a, 0x04d0c807, 0x28eb25fb, 0x735fbcbb, 0x44136ff1,
+    0xf887554b, 0xaf4056cf, 0xfec23c4d, 0xfe2a923f, 0x28a76791, 0x9a0b4b6d, 0x1d62a099, 0x431bcef3,
+    0x8ac0ddbd, 0x35cd3990, 0x10cdf14a, 0x5b9d4f9a, 0xa2172950, 0xe830afd4, 0x6ce43df0, 0xc6e728cb,
+    0x4d7a5fac, 0xbf7e3b38, 0xd14e89c4, 0x20648b34, 0x5d98ddec, 0xc6a6d78f, 0x8a8eab0a, 0xe39ee4ec,
+    0xd6a5f337, 0xd0f21eff, 0x503a78dd, 0xe4beb05c, 0x13cdb417, 0xa77b4963, 0x5d0cbc8e, 0xc5829f97,
+    0x17b0d282, 0xb428434d, 0x08b84ea1, 0x07d2bd41, 0x18653eef, 0x3815ab8c, 0x36e78c92, 0x1108c12d,
+    0xc21c4439, 0x89a0cf14, 0x800f7d89, 0xf9b0d16d, 0xf5d7500d, 0xea9042ee, 0x4bced7c5, 0x09f41af9,
+    0xdd619e74, 0xeddb8182, 0x0f7aa7d2, 0xed7f108b, 0x51d8544f, 0xf5220563, 0x709e42b7, 0xd57be98b,
+    0xa850fb25, 0x4264cbb1, 0xf2396687, 0x8bba08f5, 0x7c82c6ff, 0x9298a16f, 0x9056f230, 0x93b2e298,
+    0x24666b34, 0x37928b60, 0x8d6c027e, 0x781fa05f, 0x7684346b, 0x091be58c, 0x3c860ead, 0x577f3f6c,
+    0xe03a1507, 0x27fa6d99, 0x306097aa, 0xeed2d493, 0x6f5ed50a, 0x89aed10b, 0x1b056165, 0x9242c222,
+    0x520100d0, 0xd7037529, 0x52a12310, 0x4fa3d36d, 0x7d40734a, 0x6dbd6334, 0xec8b7b92, 0x8cda5fcd,
+    0xd7d50d7a, 0xf32285ba, 0xa9313923, 0x146ccf81, 0xe097929c, 0xbfbf7a32, 0x5cb7ab35, 0x352a2bf8,
+    0x417395e5, 0x8109a3c6, 0x70805849, 0x7dcb05a3, 0x7034988a, 0x88a7ecb4, 0x3684fe91, 0x85518fc7,
+    0x118ba7c9, 0x323dd726, 0xae942cd1, 0xa2c97a23, 0xd05e75c6, 0xe7a27ea3, 0xc978d47a, 0x41788404,
+    0xea3e3886, 0xb18d2b00, 0x27eb91bf, 0x703e7c2b, 0x4c21867d, 0xb7e30019, 0x332e8572, 0xf2267319,
+    0xaed20a9d, 0x84db666e, 0x9918ec2f, 0xede68e63, 0x539d8d73, 0xf0d42679, 0x1b182e17, 0x332da88d,
+    0x30c3da1a, 0x45dd5ab1, 0x0152c69b, 0x6bd6045a, 0xd3f290db, 0x991c9bb2, 0xa3c2ef05, 0xfe46e4de,
+    0x00d97c8d, 0x5f4f5cdd, 0x26c21e3e, 0xfe35e00f, 0xe85f8ec2, 0xadd4bec1, 0xd5152974, 0xf17f146b,
+    0x3d8aa759, 0x24c24408, 0xd94aaa84, 0x53aafd6f, 0xe70a7ac8, 0x1157090f, 0xc5469a01, 0x1777c8bd,
+    0x4561feb1, 0x82822aec, 0x6359c380, 0xd69b1e54, 0x81b32fed, 0x2baf119c, 0x750893e1, 0xc953f750,
+    0xf004e3e0, 0x3139ffbf, 0x861433f4, 0xa982ea9b, 0xbfac6c3a, 0xc29d9e87, 0xb2e37b1e, 0x289bdd9c,
+    0xd0e489fb, 0x4263fc1e, 0x74582735, 0x5a4463e4, 0x9bbd0f50, 0xa4681a0b, 0x324044e8, 0x889f0719,
+    0xe4f37dee, 0x942fd712, 0x0fa5c700, 0x773ab2a6, 0x533edb1e, 0xbd8ff77f, 0xb5a33701, 0xe4097ccc,
+    0x9f89b18a, 0xf407e8c1, 0xa87bec73, 0xe15a9fd9, 0xb827a7d8, 0x289cae34, 0x4d11ba38, 0xde2d40a4,
+    0x7f098755, 0x11db0bfb, 0xfa78eadc, 0xc0eae68c, 0x315ecc4f, 0x80cdc39c, 0x041472cb, 0x858e6c4f,
+    0x9548419a, 0x3ee5ee6c, 0x1456119f, 0xfe5bd769, 0x5b74ba01, 0x0ff3f611, 0x5952b31d, 0x2c1fa7ce,
+    0x39455088, 0x0a3f40ee, 0x6004458a, 0x14d88c19, 0xd1937f7a, 0x37b66bcc, 0x630d5204, 0xb3f35efd,
+    0x5220f2da, 0x39948026, 0x195e68b3, 0x6965c6a5, 0xcf3f46aa, 0x8fcf51a9, 0x6cf529bf, 0x6b840245,
+    0xce152127, 0x333551ab, 0x15e71c05, 0x19015d80, 0xc671afde, 0x2dfdcd9a, 0xa9fbc588, 0xdf0381f7,
+    0x395d3e2c, 0xb8315dc6, 0x1b3f3a7b, 0xdb1df624, 0xc07dcf25, 0x4ab1d2fd, 0xb47fc16c, 0x14da3c0e,
+    0x09fb9bbe, 0xe92e7823, 0x92a937b6, 0x575b9ace, 0x51f73e8b, 0x96abe011, 0xca53800f, 0x37b48136,
+    0xa32aa3a8, 0xe92eaf31, 0x5f39b1d4, 0x771111a5, 0xd1a76f7d, 0x47aad4ed, 0x8dcc7ffe, 0x481a6d7e,
+    0x92ef1f55, 0x6dc4a3af, 0x767567ce, 0xf4e9e098, 0x9675cc83, 0xfe7476ff, 0x094fdc98, 0x90ad8399,
+    0x8f467ad7, 0x1b5efe1d, 0x25c86277, 0x8f6d4575, 0xb3e24dcc, 0x9458e6f0, 0x235f31a1, 0xd0d78bf3,
+    0x495b7ca3, 0xaca89e5c, 0x0def25d3, 0xcdd7c491, 0x296d8de6, 0x97a7f23f, 0x3c4d2ba5, 0x09202f9d,
+    0x1706a822, 0x9ba992a3, 0xab4ded85, 0xa9732af3, 0xc40d731b, 0x9e5ede43, 0x7be09158, 0x9d8c8edc,
+    0x9912d790, 0xd5ddb8dc, 0x89e957f4, 0x999b5c10, 0x39547955, 0x80fc54db, 0xea5c63ea, 0x73571c32,
+    0x45dc9b5e, 0x582d1f97, 0x01ede21d, 0xf85763c7, 0x415c1b03, 0x5488089e, 0x72a8e8ca, 0xd7c1839c,
+    0xd75e0189, 0xe1a13ceb, 0x3ef55a9e, 0x9931bfc3, 0x6b785df5, 0x590be799, 0x8edc70f9, 0x8f9b604c,
+    0x126a0251, 0x05633be3, 0x27aa94dd, 0x2dc80619, 0x13cb4d31, 0x09499a3f, 0x73d5f787, 0xde697f76,
+    0x7f8d81c8, 0x2075d3ee, 0x3f15d88b, 0x65e6178b, 0xd8775784, 0x3af6aed4, 0xdebc5bd2, 0xb47b80e0,
+    0x1186cea6, 0x3c47629d, 0x4ae04c25, 0xccc6e4f3, 0x7fae71e6, 0xf12273c8, 0xec113eec, 0x335a02e0,
+    0x6fadea53, 0x75588d45, 0xa15fabef, 0xc6120e84, 0x029bf4d1, 0xb43bd375, 0xb7449caf, 0xb9631e0c,
+    0x1eb5af60, 0xa986eaf3, 0x69f15436, 0xeb583130, 0xbdcf79f1, 0xa7d76790, 0x9e629306, 0x4ae7f67c,
+    0x6d039e6d, 0x426f6086, 0x38595aef, 0x1d9768f7, 0xdd0bd054, 0x25999549, 0x788fb392, 0x9236ae32,
+    0x9240741f, 0xaa378322, 0xe47b9de8, 0x02413879, 0x857eb229, 0xa872f85a, 0x72903c3f, 0x3e4327df,
+    0x78577ce4, 0x2e0f330a, 0x0a3e62d8, 0x0ac1d503, 0xe7f8556d, 0xa9311a25, 0xab40e787, 0xb3dab757,
+    0x3a0fab61, 0xbf63a419, 0x469e1f9d, 0xfea07c0b, 0x90d69992, 0x37f0f3c7, 0x5d09572e, 0x32bc22ea,
+    0x9fb2ddce, 0x7b557dbc, 0x722858a9, 0xf2749381, 0xb3c3c26b, 0x202cfd34, 0x639c0b27, 0xaa83332c,
+    0xdbc9dc02, 0x7d6e4cd4, 0xd7fa854c, 0x9a2b03d0, 0xf5922f56, 0x95e170d9, 0x349dc538, 0x9bfcba33,
+    0x0bb92256, 0x9e190349, 0x2a5a769a, 0xea06ca6a, 0xb51e861f, 0x32a31753, 0x4ac98451, 0xcf9d16de,
+    0x9e351dfe, 0x3a9dc956, 0x72354837, 0x783e2322, 0xf757c8a5, 0xa6363aed, 0xe392ecd7, 0x434afcef,
+    0xc0ed718e, 0x58fa1e76, 0xa040d4d1, 0x230b3813, 0x58fd9a5c, 0xebf44361, 0xbaec945c, 0x95436004,
+    0x2dd08d2d, 0xf592c64a, 0x747f7cfd, 0xe7b3b55a, 0x4ed56972, 0xdab217b1, 0x2dd414c1, 0xf1f831d1,
+    0x56e5256d, 0xadd4d0a0, 0x7b06d420, 0x9e1b42ef, 0xa5d89464, 0x938a12c0, 0xb3e7f0b6, 0x169125da,
+    0x40086229, 0x4568f336, 0xd5cd70e5, 0xb0136cee, 0xd924a4b6, 0xe8fb5a9a, 0x92d31bf4, 0x122487e1,
+    0x375e53ae, 0x1714b2dd, 0xd2197f3c, 0x32041009, 0x2673586b, 0x05062632, 0xf4479562, 0xa5cefe17,
+    0x63ec61c2, 0xd6a90fa5, 0xe7c23540, 0xe7eafe04, 0x8ed3873c, 0x8988f609, 0x5be3d65d, 0x8cc4d1a0,
+    0x513af3a3, 0x1f5c221c, 0x2fc3d924, 0x679f0b8d, 0x3746ff50, 0xef92c11b, 0x62a0c3bc, 0x6bd93bfa,
+    0x4a804a70, 0x8f2c6ea1, 0xba341c83, 0x1fe89bd3, 0xcb3429e3, 0x7b9a05e5, 0x84c8e12d, 0x4cc4e2d1,
+    0x647e1e33, 0xba81828b, 0xf4ba390f, 0xe634e615, 0x2ba1e3a4, 0x0c5c1302, 0xb3ff31b2, 0x95cbaf26,
+    0x0cfaf393, 0xb678c517, 0x188fcfaa, 0xe093a70c, 0x1367aa60, 0xb8f0e6eb, 0xbb4acac4, 0x4144d87e,
+    0x8d69483a, 0xa4fb74e5, 0x9cc48696, 0xbd9d4054, 0x0763a031, 0x42dcb162, 0x3b428a80, 0x3082256e,
+    0x8290734a, 0x6e3bd916, 0x13e9a3a3, 0x5a4e0cc2, 0x28cec5ee, 0xdc6418b9, 0xb97ef075, 0x32c871b4,
+    0x15591246, 0xd2feed2a, 0x019bd4aa, 0x8e21b23c, 0xdb132cc7, 0xd2aa966b, 0xb6ca1fc4, 0x42af7cbf,
+    0x98dc3316, 0x6cd50f69, 0x24dd6279, 0x27fa8940, 0xb067e35d, 0x9707d136, 0x37216541, 0x57f299e8,
+    0x3c6e6f29, 0xf935fb64, 0x72e483d7, 0xa6754449, 0x686e7fa0, 0x6779023e, 0xbdd8548a, 0x3ce4b0f7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000883423532389192164791648750371459257913741948437809479060803100646309888 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b6, 0xac8082e6,
+    0x00000000,
+    0xb7caa84d, 0x18f430b7, 0x49ca3168, 0x75af0ee2, 0xf80def08, 0xc5e12637, 0xe21b7226, 0x04b2b2c5,
+    0x32c4aad0, 0xf388e277, 0x811d331c, 0x4c1cb130, 0x5cca2d4f, 0xfc674cea, 0x9732388d, 0x5d3340ed,
+    0x755f63c5, 0xb5f3ccb8, 0x3788fa60, 0xcd65bdb9, 0x469cc91f, 0xd4cae3a7, 0xde3f6d0f, 0x22ee4622,
+    0x7039f0ca, 0x99513af4, 0x1fae9354, 0xb5c87c96, 0xdee44b42, 0x98e8bab2, 0x65feed60, 0x1725b3bd,
+    0xd803ea19, 0x58318f9d, 0x20aad650, 0x097e8d28, 0x53ba1d02, 0xd920fca7, 0x264e4066, 0xc3d52e26,
+    0x46e78c56, 0xd26519ce, 0x8176129e, 0x46406836, 0xebadabef, 0xcb7852ca, 0xe06f300e, 0x995d1585,
+    0xd0d9ec94, 0x6cda88d2, 0xd531be65, 0x1651bef3, 0x0e8655be, 0xe992f7d2, 0xbe7fb50d, 0x4d52e7db,
+    0x0bf81e1b, 0x10c36d61, 0x6077cd88, 0x11e0fcd9, 0xd879c456, 0x7016ea1d, 0x60edccf3, 0xe8ff27ff,
+    0x6e0b8839, 0x206b92b6, 0x2cea22d7, 0x3aaa496c, 0x05c96837, 0xa600047f, 0xa97876ed, 0x40cda385,
+    0xebc2b60d, 0x047c54cd, 0xb4a384d7, 0x24b26ffb, 0x6db14060, 0x3888fb78, 0x331234d4, 0x351fcfd5,
+    0x97daa3c4, 0xbb541060, 0xf640484f, 0x58cfbfd5, 0xc5981008, 0x529720db, 0x08edc521, 0x8f43705a,
+    0xbbadc6d1, 0x2b7e9708, 0x77951c9a, 0x7e4b9a93, 0x52d18d90, 0x45196395, 0x3f697505, 0x32fb668d,
+    0xd467f1e7, 0x9b547813, 0xffa4d1ea, 0x021d0e71, 0xac0ddf1a, 0xab1d2c43, 0x4f05ae91, 0x60888b99,
+    0xc4891349, 0xd98ec6a8, 0xce5c78be, 0x77ca8dcd, 0x78ae68af, 0x3c9878d5, 0xa76e9631, 0x1fbdc12f,
+    0x0476aab3, 0x290938b3, 0x1a682b11, 0xd17e78a8, 0xab1f3ea3, 0x76023b0d, 0xb06470a9, 0x190db8aa,
+    0x847f9c1e, 0xfa5548c4, 0x3b488498, 0x07b50f7d, 0xc353976d, 0x9ffa76bc, 0xad38bf01, 0xdec4c1f9,
+    0xa33a7f0f, 0xddd8a18b, 0x7e202ee8, 0xf55f0c0a, 0xacb4e859, 0xea26adfe, 0xfe03d448, 0x292e76a3,
+    0x66fa75fb, 0x78096a61, 0x0bdfd451, 0x6259d729, 0x2988b013, 0x674170b8, 0x6985f603, 0xb5ce81cc,
+    0xdd67b5f0, 0x4e4e39ed, 0x965cc552, 0x9719fb01, 0xcff20130, 0xd18712bc, 0xb48c0dc4, 0x49130422,
+    0x54a1e60b, 0xf197d1ce, 0x3c6fa631, 0xf08e6a72, 0x5f66540f, 0x24ac5022, 0x2c10eb7d, 0x850f3735,
+    0x9bfd4ed5, 0xa4ed1e35, 0x66611070, 0x7bf99a98, 0x16d5b00d, 0xcd09f72e, 0xe4988aa4, 0x7ba38bf5,
+    0x212b4fd1, 0xdead28a4, 0x898da454, 0x3c24ac36, 0x7bf062a1, 0xafa5751a, 0xb54c51f4, 0x0f07be5c,
+    0x04cbd4a7, 0xb23ce08b, 0x6eae55ed, 0x9a1f56f5, 0x5b78632a, 0xe69bdd07, 0x60a704b2, 0x6981a79c,
+    0xdffacdf9, 0xf6b9ef22, 0x13ed801f, 0x3c113967, 0x328a934d, 0x30b35dba, 0xa5e5bd0e, 0x8313debc,
+    0x978b9365, 0xb8a5d6a1, 0xf55de000, 0x105d117d, 0x13053a7d, 0xfba20a2b, 0x1d9211c3, 0x3abbfb3c,
+    0xcd6005f5, 0x15934816, 0xf77dd96a, 0xf9d0c534, 0x122e507b, 0x0172d0ff, 0x9827cb4e, 0x317d5ec8,
+    0x29b9d042, 0x487afac6, 0x4c5562d0, 0x4b406cde, 0x42cd6b0f, 0x7a60d5a2, 0x36f6b028, 0x355d50e2,
+    0x37da437b, 0x53ab2497, 0xc4c7c732, 0xd22fc141, 0x68f60c81, 0xb65b02b6, 0xb286e8a1, 0x603db5c0,
+    0xdd5d3fea, 0x928bbd9e, 0x2acc97b1, 0x634a2780, 0xff4b3df2, 0x574d51ec, 0x4baae61d, 0x97781e75,
+    0x7b7e2643, 0xa4b14c07, 0xdd8d7762, 0x261c0bc4, 0x6b2fd21d, 0xadfb9ea5, 0x6ee9b126, 0x51691fe6,
+    0xcbd2cfca, 0x216a3496, 0xb4eaf225, 0x5842a4b0, 0xb4d87ec6, 0x3f764f64, 0xfc3674c4, 0xfb051d0c,
+    0xc87b8aec, 0xe6d2e082, 0x10811310, 0x604f3d90, 0x24d37bdd, 0x5c3223f8, 0x683e8e25, 0xbc8c258d,
+    0x39288b01, 0x7d27eaf2, 0xa2dd06b1, 0xbc739e64, 0xc135d244, 0x95bc10b8, 0xca003df6, 0xccbc152f,
+    0x3f42f032, 0x70b32153, 0x6b49808a, 0x6f119012, 0x26021c16, 0xcd9e2d18, 0x1bcb48b2, 0xf60c985a,
+    0x8fccf240, 0x9a6a42df, 0xb2c98698, 0x61822048, 0xf44198d1, 0x63c6372d, 0x980d6ce3, 0xadef1f34,
+    0xf62b9cd7, 0xe9f8396f, 0x85cba5cd, 0x2630857d, 0x650763e2, 0x88160961, 0x679369e0, 0x5dadfb05,
+    0x2b45f5c1, 0xfefe3b10, 0xcae67b36, 0x2ef69fa9, 0xcf2efdaf, 0x44386b30, 0x0aff9c55, 0xb73296cf,
+    0xedf5439d, 0x2591f597, 0xb6224f43, 0x1e098d78, 0x4b2d48b0, 0x29018c69, 0xfadbf7d6, 0xb081f9b0,
+    0x1968ea23, 0xcf916f15, 0x30852cbd, 0x95dacc40, 0x910d48d4, 0x0ec464a8, 0xd42b1d0f, 0x9966106d,
+    0xa24cdef7, 0x28c78a09, 0x83fe32e8, 0x0bb1fbfa, 0xbe880fbd, 0x4b2dabf6, 0xebf5458d, 0x4fd273b4,
+    0x299283fe, 0x54812bf1, 0xd16a9d10, 0xb5e2bce7, 0x2cbf637f, 0xb03d02f6, 0x841c6f92, 0x52703ea9,
+    0xd520ed07, 0xcd36a126, 0x7dc9aea1, 0x8982975d, 0x4124c7ae, 0x7d8b535b, 0x64fe5ac7, 0x575cabaf,
+    0x1a54043a, 0x7d97c228, 0xad885071, 0xf5f07983, 0x28179257, 0xe56cad22, 0x2d58ef8c, 0x33c9ea59,
+    0xfbf33203, 0x0f3a06a9, 0xa6b82fd3, 0xde1ba879, 0x8ea1b4d4, 0xb533aca9, 0x681f1417, 0x1670b843,
+    0x5f31a6e7, 0x6bb6d60f, 0x692f9806, 0xc077b3f0, 0xcaad44f3, 0x38fb85f7, 0x74447494, 0x3e2dd2eb,
+    0x1818fea3, 0x97ed6a89, 0xbc5d93d9, 0xf91d2940, 0x9aff33af, 0xb3a21a8b, 0x84e9009f, 0x253093e7,
+    0xa72834a6, 0x542eb1e7, 0x1e9cae4d, 0xd8d8b64d, 0xa2b12d9a, 0x4fe5eda6, 0x0b70c737, 0xc7b0f476,
+    0x14d7e9e8, 0x0a29c5eb, 0xeab0c645, 0xf597d637, 0x00040bde, 0x782f0c96, 0x8ad23cb6, 0x415698dd,
+    0x220a1fcf, 0xc82ff967, 0x655065b5, 0x1a971781, 0x1af1359e, 0x8d1c5b6a, 0x08505dab, 0x250381b0,
+    0xf68354a4, 0x27ce5ebb, 0x9f86e7ef, 0xf9a35577, 0x39732b65, 0x11214d5f, 0x71b87f48, 0xeb082fd2,
+    0xf5b74d1c, 0x3d8daaa5, 0xebbd7609, 0xaa006825, 0xda92aa5f, 0x753827c3, 0x727ef05d, 0xd11b928c,
+    0x1b90a826, 0x29a6fb04, 0x5ddea400, 0xee159796, 0xd537ac48, 0x10138f93, 0x192d6aea, 0xa09968a0,
+    0x7e5dd150, 0xc3fbe250, 0x2cd4c585, 0xce919884, 0xa8aa15aa, 0xeb8fa898, 0xf2425bd4, 0xd0041f99,
+    0xc2155b13, 0xc4ee8aa4, 0x478e9680, 0x69958e8b, 0x3e3e2410, 0x0189909a, 0x695923ae, 0xdf62324c,
+    0xfaf4b25a, 0x933e2c55, 0xfb113057, 0xf8f29a64, 0x89096ffe, 0x63299da5, 0x2eb222bc, 0x5a1b2d1a,
+    0x90b57782, 0x8a0efde1, 0x021844eb, 0x82cf601e, 0x79308d9e, 0xf4be0d0f, 0xa6d3fafb, 0xb173b83e,
+    0xb76ab179, 0xabfff446, 0x6c089e6f, 0x89039376, 0xfd0c387e, 0xc5c8eb04, 0xab385411, 0x9e3e52d2,
+    0x558f87d7, 0x9570348e, 0x76d021cb, 0x7f6f2fa7, 0x85463bd2, 0xa9755d24, 0x5ec2e1da, 0x29301e97,
+    0x8928dabc, 0x5ff0bc50, 0x278aa162, 0xca74e59f, 0x75eb19b6, 0x20a1d521, 0xe5c63302, 0xd4bb498a,
+    0x28a56fbb, 0x44ecf4a8, 0xcf1c7046, 0x5a8a15e8, 0x1e00b9bf, 0x26a54be9, 0x886a874b, 0xb8ee1b04,
+    0x26f3f9e9, 0x0be248a8, 0xf00ca4d0, 0xdf614fef, 0x0b56fce9, 0x5388dfbf, 0x2cb057ba, 0x3086972d,
+    0xb9d62104, 0x3039e219, 0x5951d3ea, 0xa858eabc, 0xf0aa68a5, 0xde1a3ca5, 0x4a06608d, 0x6b65e1fe,
+    0xc543ff3b, 0x0fdf6bb0, 0x61e92511, 0x7dfff9ba, 0x77b4f76c, 0xc726a601, 0xbe188fab, 0xb4e3b1be,
+    0xe03f9179, 0x3acbf085, 0xf61d7f06, 0x4850c4fa, 0x876b26a9, 0x19c39b9d, 0xcf4f3b61, 0xd4e3be51,
+    0x7bb67f82, 0x6242b9ff, 0xc5d5802f, 0xfe031afb, 0xcdf155c5, 0x9d4f6c84, 0x8e5dc937, 0x06770478,
+    0x69d7ee04, 0x676528d5, 0x2de16c64, 0x5f25d87a, 0x0e10902b, 0x049d8286, 0x3082f465, 0xc6cb4b13,
+    0xe5a88d49, 0xf60c54e2, 0x2699aa55, 0xefc46cac, 0x3b40e041, 0x200c873a, 0xdc4467bc, 0xf75061d8,
+    0x13a04c0f, 0xc60d6906, 0x17f264a4, 0x0f73bd43, 0x99b308da, 0x8fd26c3a, 0x094b5b35, 0x67d1b3f8,
+    0x094dba3e, 0x0a9d89d5, 0xc4949cb8, 0x9ea88be7, 0x990e30c9, 0x27707cfe, 0xdac312cb, 0x3fc1e51e,
+    0xadb52f67, 0x705c9136, 0xbea26a65, 0x2ecdbd21, 0xe27d6074, 0x20d61352, 0xa4a9a8e1, 0x30c08167,
+    0x88e7a119, 0x1d5c61bd, 0x6fb4c706, 0x6fb6bacb, 0x65a946be, 0x2b14022c, 0x8069a273, 0xbad32c4e,
+    0xdd5d998f, 0x62e877d9, 0xa1e8731e, 0xf9dfb42f, 0x07ef8ba9, 0x2b92dcdb, 0x1d8d56d5, 0xc68639bc,
+    0x442dc32f, 0xcd0a7fda, 0x7a7e9842, 0xb3f4ffa6, 0xc62d17dd, 0xebcc8d17, 0x0aafff0f, 0x4f8eee03,
+    0x0395474a, 0xec30f1aa, 0xaaa02af1, 0x6e65a491, 0x2306a17e, 0x85439b61, 0x86ce89ad, 0x62b9c293,
+    0xe9c927e3, 0x2cec6d59, 0x9c621428, 0x18e097ef, 0x86bb04d8, 0x9d14782c, 0xd7699b46, 0x93316735,
+    0x3107a4b8, 0x246b124f, 0x7cb45c46, 0xc5f506f2, 0xaa3a0fe1, 0x0f85ed74, 0x9c3d061f, 0x73903659,
+    0x6e73dc13, 0xecd5c524, 0xd3781408, 0x3cea4c31, 0x5f00c135, 0x0b03301e, 0xcceb49fe, 0x2adf5114,
+    0xf9a9b39c, 0x5d2219fd, 0x05422251, 0x1f4cb31a, 0x30fd7299, 0xea3dd118, 0x0726cea1, 0xc8c25263,
+    0xd6047649, 0xe8da7660, 0x4cf1c2e3, 0xe6f2c66a, 0x0910449e, 0x42cee269, 0xc4fa68a2, 0xa1e22950,
+    0xdde21708, 0x11ec2b36, 0x7dbbbd41, 0x86a4663d, 0x9d65e80b, 0x351ae5e0, 0x6dffde7e, 0xdd152b22,
+    0xe8214c63, 0xccdb4dea, 0xc73d3973, 0x7d317761, 0xd0756d99, 0x15c7ab28, 0x8d268234, 0x6f4b5acd,
+    0xe68447fb, 0xb51f105f, 0x0548af1a, 0xe284378c, 0xd0c7e6d0, 0x31bedfa0, 0x193a1e9a, 0x9c5760b8,
+    0x93bcce75, 0xcf862811, 0x2f7cefce, 0x7ff2e1a3, 0x09825c3d, 0xc48f0aba, 0x60e721fd, 0x1450b54c,
+    0x3028e640, 0x2de58af3, 0x1e0490cc, 0xb1a3a2ed, 0xebdec5a8, 0xc39d6096, 0xcd71e659, 0x13d7fd12,
+    0x88ea772b, 0xe12f6af9, 0xbd30c15e, 0x3f993a49, 0x8eeb705d, 0xcb269239, 0x5a7b12db, 0xebe8df10,
+    0x63017ca3, 0xc3de9d59, 0xd0b31cc1, 0x3033ef8a, 0xdb256054, 0x8f2c3f8e, 0x9257cc19, 0xf719efe0,
+    0x9c19af16, 0x974c8c2d, 0x794813a7, 0xa69dcc41, 0xcf71dca2, 0x5a8cf537, 0xca302a3e, 0xe57cd1b4,
+    0x44ad8720, 0x63dbc077, 0x213908d6, 0x95853a6e, 0x3e688c61, 0x1f904474, 0xcbb640d3, 0x5107e9ae,
+    0x96c39d52, 0xe37162b3, 0xb2b5b257, 0xf5b5b5f6, 0xa591f139, 0x9e1b38f2, 0x5af3dfed, 0xd82fdd10,
+    0x2ca2774e, 0xe4630038, 0x6b9443bd, 0x3eb3c596, 0x1e5fead4, 0xadc7108a, 0x8e7e61ed, 0xbd47fbbd,
+    0x87b4dd6c, 0xbaed3343, 0x3ce45795, 0x531e2c9e, 0x53f52b06, 0x0751f2bc, 0x8bb9720e, 0x9f91ec3e,
+    0x069176b5, 0x6f637a20, 0x2517db43, 0x304b4a62, 0x707e754f, 0xd65f07a6, 0x69f1b566, 0x60f2d57d,
+    0x272a5e1e, 0xafa065f4, 0x6bc7f40d, 0xf725daa1, 0x1b5375b4, 0xbf6a930e, 0x6beda48e, 0xfb0c58f1,
+    0x6de9db0e, 0x30235c49, 0xb1e4ad81, 0xa2c09007, 0xedbf9162, 0xfc3331ae, 0xa424323d, 0x11a5418e,
+    0xa8458dd8, 0x28ad1b49, 0x154adcd6, 0xee521f22, 0x2b6429b6, 0x6f860992, 0x5bf2e364, 0x97094e55,
+    0x6ecfc065, 0x14ad94bc, 0x2d5b80dc, 0x29b1236d, 0xe94967a2, 0x07cf7f0e, 0xe601c75f, 0x7575a983,
+    0xee37f520, 0x52addd57, 0x2f631030, 0x82ecf1eb, 0x693c7591, 0x3a99ddbf, 0x7aea8680, 0xd4021e65,
+    0xaf268330, 0xed7d327f, 0x144e230e, 0xb8b938bd, 0xe7cf0179, 0x8eb91a0a, 0x4fd9f80e, 0x265234cd,
+    0xa18f4421, 0xffbf0b18, 0x11f798cc, 0x6e56c00c, 0x27f302f5, 0xae2ead66, 0x690d9f49, 0x77bb86f1,
+    0x6308c993, 0xb7a9813e, 0x143675df, 0x786a3009, 0xbcacee94, 0xd54c5eb3, 0x8fb6226f, 0xac932728,
+    0x6a526cc4, 0x1b9c3f1f, 0x76c8e361, 0xe6a69418, 0x9e0054a5, 0x80ccc8b6, 0xb760622c, 0x29ab82a0,
+    0x14cf1da2, 0x826b8fb6, 0x321f3b4a, 0x91a75fd2, 0x31424c1d, 0xdadf163e, 0x41f5e1d6, 0x626c94b8,
+    0x22da5f9d, 0xde8c186d, 0x40b20534, 0xfd77c680, 0x95006e3c, 0x0641bda3, 0x80cc3b70, 0x97097a59,
+    0xf0f6c314, 0x66fa6d73, 0xf4967f4d, 0x55252aaa, 0x44d54071, 0xadc03817, 0x7fccce7c, 0xb97cf8fd,
+    0x4d7b46e6, 0x46e827c6, 0xc65b8c9b, 0xc7cfad01, 0x62ac989a, 0xdfecb755, 0x20d01dbe, 0x107148c7,
+    0x63f067db, 0xe1d19525, 0x28d50d45, 0x029ba833, 0xb8abc368, 0x0ff35fa3, 0x27664789, 0x82931654,
+    0x9cca4591, 0xa46ab8df, 0xa3847818, 0x76a55dcf, 0x33601a24, 0x6ca69a6b, 0xd4bfe612, 0x7a51ce71,
+    0x932ec3e2, 0xc49c6c2f, 0xb833f1d4, 0x1b78a3dc, 0xbb5d4160, 0x54720579, 0x81c940c8, 0x1e833c68,
+    0x7e5ac7b4, 0x6a8a0995, 0xf16f3fe0, 0xcf5d7ba9, 0x85178976, 0xb7bdadd1, 0xee1fe29c, 0x90444791,
+    0x856bb229, 0x191c3ae6, 0x47f437a8, 0x92c49d59, 0x9a9ebb9c, 0xd4a38a3b, 0x6bde89c0, 0x23e996ce,
+    0xfb9aeb04, 0x36553850, 0xe39b110a, 0xaf13219e, 0x51914244, 0x8cf08e3f, 0xe6cb3d39, 0xba7f5766,
+    0x1e2540b4, 0xf88c1418, 0x2b155a36, 0xe04f6dd0, 0xf0b64e5a, 0x550fa7ce, 0xf11f8446, 0x618a32e1,
+    0xa395617a, 0x49a78a4f, 0x1f0a0c3f, 0x8c9be3ea, 0x71a6e72b, 0xc9fdadd4, 0x4b623bb9, 0x930d68c2,
+    0x0a4a5ddf, 0x0e7be8d4, 0x85874e7b, 0xa9f17da4, 0x71474a4b, 0x30b4aab6, 0x62258cd6, 0xfa1954c0,
+    0x6afa3c59, 0x55ef6143, 0x3b110801, 0x7cbbb02e, 0x66f0db0e, 0xae651609, 0x576482c4, 0x077826d2,
+    0x8603af77, 0x27d40975, 0x86589b48, 0x0a33c1bb, 0x0e9c3f1d, 0x85a54fba, 0x6fba8ef0, 0x26ef3200,
+    0xc65c6f20, 0x8a905a01, 0xf47be306, 0x645ad3d2, 0x3ec5b87f, 0x820e7fb8, 0x71d41cfd, 0x57dd3fcc,
+    0x206f58e7, 0x5ed38e3b, 0xe6f6a6bc, 0xa05f4429, 0x0ea2e33e, 0xb73a46c1, 0x781a21ff, 0xb0eb603e,
+    0x80fb1253, 0xd33f85fe, 0x85262283, 0x67daf7db, 0x68af68c7, 0xc1ad27ec, 0xedab37da, 0x246df5de,
+    0x1d490489, 0x200790ca, 0xa5a330f8, 0xe2f82ccb, 0x3ceac25a, 0x0f96028b, 0x9d222248, 0xa2785961,
+    0xdf8e50fb, 0x4aabca8f, 0x90987707, 0x282be274, 0xea7ce6d5, 0x557aea20, 0x2b9830e9, 0x29e36851,
+    0x9c8cffbd, 0xd2d47841, 0x683e796c, 0x3b742f2a, 0x03a0e32c, 0x1efc4304, 0x9d7dfa49, 0x9e9b61fc,
+    0x103d4eb9, 0xad20e0c8, 0xa38fbe9f, 0x379d493d, 0x4b6d32fa, 0xf62c233d, 0x65c6f65b, 0xb2b1559d,
+    0xa500ddfb, 0x33e064b0, 0x42d14c42, 0xf46d8291, 0xb470ca11, 0xe319f7d4, 0xaf95c0f7, 0xec38c3fe,
+    0x22c3099a, 0x038585d5, 0xa9b2213b, 0x6442982e, 0x88a39185, 0x43919dfa, 0xa50aebba, 0x975e26ea,
+    0x42b44001, 0x0a914ebf, 0x9bd1ec6b, 0x7d04607d, 0x0cb4a539, 0x4f09a698, 0x33adaf38, 0x3f8b8f7b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000441711766194596082395824375185729628956870974218904739530401550323154944 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748db, 0x56404172,
+    0x00000000,
+    0xd8e960ea, 0x64805d13, 0xf898e300, 0xc50a3a78, 0x5e0499f3, 0x11a2036f, 0x07f25e8d, 0xcdedaa2b,
+    0x5200613e, 0x2387cbd0, 0x2ab75c15, 0x98baabea, 0x133ceb2c, 0xdc3e5722, 0x99c5e215, 0x65721794,
+    0x7da9ac9b, 0x644c9a96, 0x3bd685c9, 0x19a63545, 0x77163e1e, 0x9f989d54, 0xeaddf34f, 0x293432bb,
+    0xf8763449, 0xb2ad3872, 0x310e7076, 0x1ec37522, 0x83f8f07b, 0x1e08e095, 0x5def1137, 0x66ef147c,
+    0xbe0b646c, 0xeebdb45f, 0x622911dd, 0x67d0e640, 0x7e49ac5b, 0x2a023b4a, 0x6bb996db, 0x13e04930,
+    0x970879ae, 0xfebe7661, 0xb32e40fd, 0xa8df7999, 0xe99e02eb, 0xc4e90530, 0xa1d18994, 0x0c994d45,
+    0xfbb3dc16, 0xc7c5adad, 0x452ed1b1, 0x13a9ae90, 0xe3012a7a, 0x313c5eed, 0x279cd3e7, 0xf3e5c85a,
+    0x126769b7, 0x91e8f0ea, 0x288ed6b7, 0xf7dafb6f, 0xc77bda0b, 0x11afa32c, 0xbf1cf61c, 0xd8acd32f,
+    0xbd6d1ca0, 0x9ec24bc4, 0xfae2af3a, 0xf6fc1694, 0x97acd9b8, 0x55d6f304, 0x7eb0a95d, 0x752f7df4,
+    0x1c1f9ff9, 0x8a8b56bf, 0x465b0c6f, 0x29c326db, 0xb6754c0b, 0xdd846467, 0xcdb4d963, 0x4d7d3732,
+    0x05b519c5, 0x11bc4bd3, 0x3039cf84, 0x31877a02, 0x6197aec9, 0xe60db37a, 0x345bac8c, 0x301b1962,
+    0xcf5ba86f, 0x809f9df6, 0x40eecfc0, 0xf36abe67, 0xa3372dff, 0x62e2edb2, 0xf80ed241, 0x12c73231,
+    0x3e0863dd, 0x4be2bf80, 0x66b7d4a8, 0x87cfc595, 0x77e2ff7f, 0x1ea934a9, 0x15ed43c4, 0x45e1e48b,
+    0x43db19ac, 0x2ed224ac, 0x132c66dc, 0x27ef73d1, 0xcba0c5db, 0x43cd4ca6, 0x96add207, 0xe4289ca6,
+    0x453b5fd9, 0xbe3e4d67, 0x93fe6c2d, 0xa50a5be1, 0xc474df85, 0xc445d98e, 0xcd701ec8, 0xd78f16f3,
+    0x60c7ccfd, 0x78aad79b, 0xc046e740, 0xd84ac999, 0x2332c272, 0x00712a61, 0xc755e18c, 0x60577f4e,
+    0xb1662382, 0x0cf95483, 0xce0a7423, 0xfa91c442, 0xa455452f, 0x9ac2317e, 0x66f97888, 0x297df955,
+    0xf0687269, 0x19facbdf, 0x41e43e79, 0x53fa1d9e, 0x7220bfba, 0xfec29c2a, 0xb435ffeb, 0x943191ab,
+    0xb3e2920a, 0x18e176d6, 0x4e0e3c89, 0xc611f144, 0x8099420d, 0xe21ec5eb, 0xd752fefc, 0xe8192a34,
+    0x1da9d3ad, 0xb8d95deb, 0xce419c88, 0xbd737dab, 0x1fcee193, 0xc12a2c8f, 0x0697386c, 0x5230b6e8,
+    0x266179e6, 0xd2be84eb, 0x9e13a87c, 0xe59f6007, 0x8bd853f7, 0xce392a0d, 0x1d11a8b3, 0x490deeb4,
+    0x650ac177, 0xabc60f76, 0xee1dbe41, 0x3614bae8, 0xc06de78b, 0xd0f509e7, 0x14c32ee8, 0x9c585c87,
+    0xf289f60c, 0xa2081920, 0x92773150, 0x038feaaa, 0x9867dddd, 0x17e6d238, 0xec2c850b, 0xe928e8a6,
+    0x350213b7, 0x5d522dad, 0x248d75fa, 0x720e6544, 0x3431f55c, 0x397408ea, 0x9b6e3762, 0x27d213f3,
+    0x574b0de8, 0x9fd2e66a, 0x40b26e58, 0xa1aac48c, 0x19ae8cb6, 0x3a28e0d8, 0xd1afb240, 0xcd06f5c4,
+    0x58ae1b83, 0x015cc86f, 0xec1ba25d, 0x0ae47b00, 0x0e7a5f52, 0x4cb6ecab, 0x3e8df303, 0x03d08b4e,
+    0x37a1805c, 0x45c45c97, 0xc9706c96, 0x661049ae, 0xf6528078, 0x1129ef0d, 0xfb5a9c48, 0x5d2cc4df,
+    0x6dc3a72c, 0xad7a8b98, 0x74c8a4b1, 0x6b8b8256, 0x4f8eb4a1, 0x7e6ff712, 0x271da01a, 0xa5996f3e,
+    0x09462690, 0xd307f6ef, 0xa2915c7b, 0x72df73b6, 0x99646c38, 0x0d4dce46, 0x6dfbb45c, 0xc293b1c1,
+    0x725a58bb, 0xecb3e0f1, 0xad0acd9f, 0x9bb3ee21, 0xf4e565b3, 0x37d8139f, 0x13f8d2fa, 0xb8089eda,
+    0x49279f77, 0xefe49c22, 0xde58a41e, 0x12f11c0f, 0x6af25ad3, 0xd1c21fe3, 0x876dd981, 0x60d48ec3,
+    0xc70dd180, 0xdbc43fe6, 0x7db4ab40, 0x40972030, 0x4d4bde0c, 0x2a62bd4f, 0x6ea92c12, 0x9e776f0e,
+    0x80d58d64, 0x03ec41db, 0xfd2d95fe, 0xb4bd5d83, 0xf862dacf, 0xb2d93d6a, 0xd680dd38, 0xa100e70a,
+    0x42bd435e, 0x2ea1ff5f, 0x18a1f32a, 0x6a15cdbe, 0x1440a080, 0x50ca3756, 0xa93a0b80, 0x0c1a95a1,
+    0x11de7cf4, 0x732539b1, 0xd4cca79e, 0x39ce1774, 0x1951bf74, 0x34a2feaf, 0xc19db867, 0x24b96a07,
+    0xc4d7900a, 0xce25dc5c, 0x08907fe8, 0x44077e71, 0x529f4362, 0x83ad5bc5, 0x89c8123b, 0x85755b81,
+    0xc81e32bd, 0xa9e0a87d, 0xae79ea2e, 0x729c06d9, 0xeae38d4e, 0x3f274a51, 0x85c19467, 0x8856fc37,
+    0xcf810476, 0x75610296, 0xc8cc275a, 0xb99a823c, 0x2a1b6594, 0x3305bbfd, 0x270ae190, 0x8132c96f,
+    0x201f2e62, 0xd839b8f5, 0xc64b2f8e, 0x3572d812, 0x956be0de, 0xdb427f22, 0x9ac9907f, 0x7ece739b,
+    0xf293619e, 0x4eacb0fe, 0x91987cce, 0xefab29c8, 0xc84ccb04, 0xd93469f7, 0x1908cc21, 0xe65affd4,
+    0x551e33a4, 0x06291045, 0x2a2e4f69, 0x37db07c7, 0xcffa5e2b, 0x59b12747, 0x7a3993eb, 0x7c27c593,
+    0x6408718e, 0x46e56776, 0xc74f5cec, 0x9eb6d1d3, 0x9b83e557, 0x475a624d, 0x09e3dfb5, 0x93f6df5b,
+    0x06f500d4, 0x72dff24b, 0xe0aa608a, 0x50a652ed, 0xb4830853, 0x95887e6b, 0x95d5f329, 0x6a8e8b0e,
+    0x466579f1, 0x102bca25, 0x3ed37084, 0x98a9410f, 0x25a97567, 0x10911d1f, 0xc7da4472, 0x8ebddc43,
+    0xe02006c4, 0xe8137683, 0xa0f1ff87, 0x7394c757, 0xab68431f, 0x8870d530, 0xea0acab5, 0x934bde98,
+    0xc7531634, 0xa97fb7bf, 0xd3c975c6, 0xc2db133d, 0x79e9315a, 0x429a2959, 0x3b8623f9, 0xb7fe609d,
+    0xfd24ac22, 0x754b1abc, 0x0ce4ad3f, 0x192cbbd3, 0xc60cbeb3, 0x3b60bb98, 0x90be96b2, 0x83bfd144,
+    0x4dbe2e0c, 0xd03db85c, 0xa871fe80, 0xba3ff060, 0x59a63eac, 0x9dbaca1e, 0xcc037887, 0x5b83a3bb,
+    0x546fb82a, 0x17dc95f1, 0xd84aeca9, 0x9be9d156, 0x409bf69a, 0x7e5a6fcb, 0x770f3560, 0xeccb85d9,
+    0x7376ee72, 0x05bd7607, 0xaa589b19, 0xa0e1e62b, 0xff0b1584, 0x9de96d26, 0x2d82917b, 0x8c4e681c,
+    0xb2b1bf72, 0x9a433ca0, 0xd3e39a4f, 0xf054c3e6, 0x9b1121b2, 0x5b260422, 0xde97948a, 0x53408697,
+    0x0db0b1af, 0x5df56f42, 0xcd35bed0, 0x3392741f, 0x50ea3c9b, 0xc7dee5dd, 0x0123d438, 0x6d67dc10,
+    0x0f675680, 0xc2bbd1be, 0x4477c4b1, 0x3aeb9eef, 0xe5b2a894, 0x8d0d9be7, 0x2d2a5cdd, 0x387cdf27,
+    0x1ab69355, 0x24f139d5, 0x263171e3, 0x54be2683, 0x25f67539, 0x21326f40, 0x9ec649e3, 0xcbd028fd,
+    0xe42df8e5, 0xc73801cb, 0xdaee41c8, 0x237a53f4, 0x938f59d9, 0x6aa1e332, 0x71921be9, 0x3da86eac,
+    0x1ab9eb48, 0x86979904, 0xd0a893b6, 0x226854ed, 0x8d2ad878, 0xbc1f74d0, 0x31fabf41, 0xec7ff4e3,
+    0x31656055, 0x57c07ca5, 0x6eb9890a, 0x7e643b06, 0x2f143299, 0xfef8c32a, 0x78ca5e3c, 0x3c170e2f,
+    0x898f26b3, 0x1fda25a5, 0x031775ad, 0xa62c02ee, 0x6da43e0e, 0x4051aaad, 0xcbf2dc62, 0x2bddd25c,
+    0xb11b4341, 0x584027f2, 0x97a15ab9, 0x572134f6, 0x3dfa5ff8, 0xbac751a2, 0xd395d4c5, 0xcca3d46f,
+    0x73565613, 0x146116df, 0xf1b267de, 0x9f1952a5, 0x0abd855d, 0x06974c2a, 0xcdb84932, 0x4b6fc446,
+    0x610aa2b6, 0x95b241fa, 0x2fb8139a, 0x78602c9c, 0xf79feb42, 0x254b8bc9, 0x13523398, 0x79bcb97c,
+    0xe9e32973, 0xe9cb23a9, 0x0207deb3, 0x7792a60b, 0x89a6ecde, 0x68657c1c, 0x5beb03b6, 0x55e2de08,
+    0x1858c8d7, 0x987acac3, 0xebd81fcc, 0x2496ecc5, 0xe22a084e, 0xeba8b9ab, 0x090c4706, 0x2548f4aa,
+    0x892c9dc0, 0x2006d6ea, 0xcebae853, 0x8c6e46e9, 0xa4cc4fad, 0x4211777c, 0x2281b1a2, 0x442993b8,
+    0xa0a7462d, 0xcda4532a, 0x6f4a8a2f, 0xdc46df20, 0xe74c9863, 0x33dfc94f, 0x1ab38f83, 0x02c0f905,
+    0xed093f2f, 0xba4c3184, 0x1b7b90e4, 0x56847412, 0x0311bb05, 0x57482382, 0xb3a3fbb7, 0x0145c7bf,
+    0x650c2666, 0x503fa6c0, 0xf3dd7882, 0x592c878c, 0xafc27fae, 0x1dffb668, 0x6520c66e, 0xecedf30a,
+    0x04090545, 0x6405416e, 0x51f2ef48, 0x60027e1d, 0xb2cb0038, 0xf6f57565, 0x000abd00, 0x5a6e3050,
+    0x2899675a, 0x4ab40c96, 0xe5475254, 0x5ee8c456, 0x17a13ff9, 0x6892efc0, 0x0807318f, 0xa0be4d40,
+    0xb98512e6, 0x880eef3a, 0x0ea4087f, 0xde4767f7, 0x1af13ae4, 0xdc938565, 0x21316771, 0xa1ebebb9,
+    0xcb3962ec, 0xdbd347bd, 0xe7c69c21, 0x805ec3af, 0x4c422e8c, 0x111f01a9, 0xc842d31d, 0xbc60825e,
+    0x8a1a79d4, 0xb263b1d0, 0xef40d2cf, 0x709399b1, 0x69e490d0, 0x709daa07, 0xb1ff8b3d, 0xdf6ffc8d,
+    0x12cd00e3, 0x77c0fac2, 0x432c49d2, 0x52775c43, 0x23008ca0, 0xa012e357, 0xe7b231b2, 0xae551200,
+    0xd6a457ab, 0xb7f3844e, 0xdd2c2afe, 0x01722248, 0x4e60c24c, 0x4dfeadcb, 0xb3044186, 0xfc520ceb,
+    0xdccca286, 0x350ca3eb, 0x68805fd0, 0x63f026a3, 0xfe15c650, 0x750e04bd, 0xdb40bf13, 0xcdca3eff,
+    0xd5f7d16f, 0x8146c3e2, 0x987a4280, 0x5173fe7d, 0x78875f65, 0xf835a781, 0xbe79628f, 0x2603733f,
+    0x0ee71b83, 0xaa895741, 0x1337a24c, 0x8e04d94c, 0x83fcf34b, 0xf380c5cc, 0xabb1cc9e, 0x20c36f78,
+    0x339c3530, 0xff3487ff, 0x8e0f02c5, 0x5a6605da, 0x8f2f6964, 0x01d94735, 0x5c1788ca, 0x26952f04,
+    0xe461a2a2, 0x4fc910a2, 0xd109f67f, 0x15072c38, 0xf7953fb9, 0xcdb804c8, 0xb7d33734, 0x08b1e0b7,
+    0x991de65f, 0x74a30337, 0xae46a7a4, 0x2dae1379, 0xa75fc64f, 0xe1b90bd3, 0x7359b145, 0x495b0e6d,
+    0x4c14b277, 0xf054a701, 0x28e4aa20, 0x36dd1eb7, 0x308ef81d, 0x9ad622d1, 0xe534a18d, 0x4eacd4db,
+    0x294788c6, 0xd8b2de08, 0x8af36c20, 0x81fb6171, 0x6f8c799a, 0x7327be09, 0xdd09a29b, 0x294dd5c7,
+    0xf80da8f9, 0x7a5a713e, 0x52f017d4, 0x26a69266, 0xc35eb23e, 0xdaea0b3c, 0x525ea741, 0x7c55d3c1,
+    0xae9e6c29, 0x9551f408, 0xab7ea64c, 0x8bdfbe65, 0x3cd0d5ce, 0xdbeb8faf, 0xf6198f29, 0x4081311d,
+    0x8725916c, 0x47497718, 0xd4e73865, 0xa06ff018, 0xaddf6390, 0x0d448754, 0x8d82d559, 0x3dadd707,
+    0x2fdd6ae7, 0xea330ec9, 0xbbb621b8, 0xda71ab38, 0x0f4e7028, 0x47259a55, 0xaae8f509, 0x70704903,
+    0x801d94d7, 0x39034e9e, 0x61930fc3, 0x522e15ef, 0x61b24523, 0x614a7eec, 0x2ea75ea4, 0x7aaa2c4d,
+    0x3caf9433, 0x614bb714, 0xb645ddc0, 0x064e0002, 0xddd240c4, 0x5f8cdf21, 0x04bdeb4f, 0x5610811f,
+    0x90dc0d73, 0xa8d8a6d9, 0x01d2cb51, 0xf161fab0, 0x42699a9f, 0xdd288170, 0xc8dcb4e8, 0x3f4150ed,
+    0xc5e7fc6f, 0x2351a8a7, 0x76444d35, 0x54d24790, 0xba1ca187, 0x2f3f3786, 0x22830100, 0xf7595127,
+    0x72b7c5b9, 0x0e07a490, 0xcd7df142, 0xece3c595, 0x519d6c93, 0x873a8b3b, 0xb3c4ff96, 0x419c7e5d,
+    0xa41fd018, 0x823819cf, 0x8c099945, 0xdef0a275, 0x0260a7ff, 0xde84bd6f, 0xb1a08ba2, 0x2ecd41d6,
+    0x5f3e4028, 0x1f882208, 0x148ac56e, 0x6b9ff017, 0x43c7aa70, 0x918cb6ba, 0x1af2c93c, 0x6a05ee41,
+    0xf80a10f3, 0xfb66e1a7, 0xd47fa360, 0x2ecc68c8, 0xec85d235, 0x3af87699, 0x2fdb3f2c, 0x7e9778f2,
+    0x653d4206, 0xfdf5b0e9, 0xbbbc3e63, 0xcab7a919, 0xe39a529e, 0x68809d55, 0x4f97350a, 0x558baa76,
+    0xdde22eda, 0x5f309af4, 0x55368d09, 0x11106c03, 0xd6676319, 0xce55c029, 0x0e278805, 0x4e7fcdfd,
+    0xd75e3aad, 0x68f6de67, 0xa9b6fc54, 0x9cd040e1, 0xbaa5dc8b, 0x9ff26d06, 0xf8f46716, 0xd705ec0a,
+    0xc42f5f9d, 0x1d21d801, 0xed33bdb6, 0x4146d239, 0x1a106981, 0x24745a69, 0x6827e8b4, 0x91b8c424,
+    0xd8c1bbbc, 0x16147b7a, 0x8a3cfb05, 0x341e3d97, 0x2c38e882, 0xafd77e51, 0xa172b158, 0x2c120ea8,
+    0x2d30e530, 0x47b4ce37, 0x39449b1b, 0x8d8e7957, 0x4ec33dd3, 0x393ea591, 0x7576163f, 0x2e273417,
+    0xec3e617a, 0x63255f53, 0x7ac5ec63, 0x0953e773, 0x079da667, 0x0bdcd4e8, 0x7966a336, 0xbd00e4f5,
+    0x4b59d788, 0x8118d67c, 0x407e7e7e, 0x669e2b40, 0x80bd8e65, 0x7115cdd8, 0xb1707612, 0xfb547437,
+    0xd02bcaef, 0x4ef22037, 0x9f105716, 0xb0817861, 0xd0a354d9, 0xa733ddfb, 0xbb08a5b9, 0xf3e9750d,
+    0xc985ecc2, 0x9a94cafb, 0xa669795c, 0xc40b9175, 0xba6ce0f4, 0xecc16319, 0xe4166900, 0x46b23ef1,
+    0xfb328fe6, 0x5b8db412, 0x6759c9e0, 0x77f133a3, 0x8e9d19ff, 0x983fa9db, 0xa6c2ed95, 0x9a94c031,
+    0xc4554a48, 0x6b8943fd, 0x261eb4e0, 0x76091edc, 0xf078daa7, 0x8ce941a4, 0x7c925537, 0x1823e261,
+    0x4523fa76, 0x2f07c6ba, 0x89fc647c, 0xfa74b55d, 0x105c040a, 0x96d1557f, 0x7d6aeed3, 0x83f536bd,
+    0xee9579d8, 0x317ea69c, 0xa2671006, 0x04599bd6, 0x0b8473e4, 0x91d792a6, 0xa75846f4, 0x20113c4a,
+    0xbadc60e3, 0xab058fc1, 0xe5869b21, 0x53e1dfb1, 0x588f74eb, 0xbc32159a, 0x0bc9c24a, 0x56a9b233,
+    0xac1db530, 0xa5daa2e3, 0x0143b475, 0xf27e1916, 0x9c995550, 0x19348d90, 0x581dddc4, 0x55daf119,
+    0x50e852d8, 0xdc9c6d65, 0x7f086b2d, 0xf1ead1bb, 0x0cc50086, 0x767dfe45, 0x76f718c7, 0x1c66ae8f,
+    0x47cae85c, 0x06152450, 0x483338b3, 0x41a58417, 0x0ea2de90, 0x75cdf257, 0xf681a6b5, 0x7c03693f,
+    0xb78df637, 0xf1f6c65f, 0x30241722, 0x8a6843af, 0x0d2e56b2, 0xac041969, 0xc7ccb6f2, 0x7eb855c0,
+    0xa247a2c6, 0x6c6d2a65, 0xba73108d, 0x7fccca76, 0xcf96d2a2, 0xf125e663, 0xed440061, 0x9d56a2b9,
+    0x129d0617, 0x14a6d082, 0xfeb06d2c, 0x4c111669, 0x7520545e, 0xd7d9bdd5, 0xa0b4dc1d, 0xe61611e9,
+    0xd1d25017, 0x074940cd, 0x613696bb, 0xdfa7f586, 0xa0de978f, 0xe6426915, 0x07d546a4, 0xec8e6f48,
+    0xd5d91eac, 0xd273fcc9, 0x7a47e0ba, 0xd09529fa, 0xaae22f40, 0xb91efb08, 0xf99e4599, 0x4a47ed33,
+    0xd8b0c8d9, 0x1b7326bb, 0xb791d42b, 0x27174c38, 0xeccf8867, 0xbf405a67, 0x64657fc5, 0x8f654c5a,
+    0x307c78e8, 0x0c8a5be1, 0xf0cd7cef, 0x85ba3fed, 0x676dedff, 0x14a275e0, 0xe5bbdb3e, 0x366b63b1,
+    0x4b4e9645, 0xad50a560, 0xab9d3a25, 0x75c5abc3, 0xa3211c82, 0xccb04086, 0x80c2f757, 0xcdafefcb,
+    0x5a1ee690, 0x17e0d22c, 0xca350215, 0x2f45e434, 0x2d6f6005, 0x016fe90e, 0xd353892a, 0x45074fd3,
+    0x930c73dd, 0xe5fb7754, 0xf5d07850, 0x70d9a00d, 0x3d5c5e6f, 0x9a1c19d1, 0xcc07d891, 0x852b67bf,
+    0x4348c896, 0xe4ac8e94, 0xe1fcb1b2, 0x5caa7619, 0x45ccabc8, 0x0a753f6e, 0xb094070e, 0x76e167ad,
+    0xc8e7fbad, 0xb3addf51, 0x2c990a62, 0x16458a0c, 0x81caa30d, 0xaf189a33, 0xab6005fd, 0x322d77c7,
+    0x29fb653c, 0x1df23691, 0x85258925, 0xf8ab0320, 0x741a15e3, 0x869f7281, 0xed3596bd, 0xd0b6de6d,
+    0xab514c5e, 0x881f0b82, 0x5f3e05a2, 0x6aa642c5, 0xd48314f9, 0x8586972b, 0x61675cd3, 0xf362f16b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000220855883097298041197912187592864814478435487109452369765200775161577472 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46d, 0xab2020b8,
+    0x00000000,
+    0xeba58fb5, 0xd41ea88a, 0xcbdc0165, 0xe7f7b23b, 0xb09cb367, 0x07c78239, 0x08886ea3, 0x67e97f44,
+    0x7c518a90, 0xbb1327eb, 0xcca21bcf, 0x275aec01, 0x3c3b9e8a, 0x6df092fb, 0x41174dd2, 0xffd4a437,
+    0xea439a24, 0x83616807, 0x665c0e98, 0x8107dae9, 0xaeee3554, 0x2240b9c0, 0x149d1eca, 0x829d73b3,
+    0x2535605e, 0x8976f053, 0x144c5e78, 0x70681c9c, 0x094694a1, 0x3079a167, 0x43d3b3a1, 0x8cb87ce3,
+    0xe8789d71, 0x3611d16b, 0xd6c71f9e, 0xf51fffab, 0x0cba999a, 0xaa7d324b, 0x0d7cb631, 0x68106f33,
+    0x4f149ad5, 0x204d4731, 0xe1b874a8, 0x0d11c72a, 0x2eab6c94, 0xaea356ff, 0x8bebc16c, 0xef0e711b,
+    0xf1e35029, 0xf3a8abe8, 0x785fd5d3, 0x8e150ed9, 0x54f0a5d9, 0x08c4657a, 0x08e11bc8, 0x01229d0c,
+    0xbe3e0020, 0x8fdc53e0, 0xccb00422, 0x4baf78da, 0x7c00a927, 0x38ff02de, 0x9ab7c248, 0x812f0d59,
+    0xf258fbca, 0xe639b7e1, 0x76457490, 0xa2627e70, 0x29419258, 0x10f337ec, 0x4b50c1d1, 0x1b95901a,
+    0x2d205da3, 0xf22f73fe, 0x15b5fe60, 0xcd2af96f, 0x83fcb709, 0x485c26af, 0x90571e08, 0x953ab9ac,
+    0xa5c3fb52, 0x056ab47a, 0x48b0b112, 0x16c97ae0, 0x95cfcd52, 0xd65ca80a, 0x61131366, 0xb54786b2,
+    0x1d23b4f2, 0x0814b77c, 0xed68861c, 0xe119460b, 0x34700557, 0x93e469db, 0xdbc7898a, 0x16c8d54d,
+    0x8087154f, 0x2fd63d56, 0xe9f4188f, 0x9ffd66a6, 0x8ec53342, 0x35e8145c, 0x146959a7, 0xe8fa2cea,
+    0xab5eb4bf, 0xd62f59c0, 0xa3b8a3cf, 0xcb136e40, 0x7c217130, 0x8a7be85d, 0x55bed4ef, 0x8ba32825,
+    0xa821e707, 0x3e892859, 0x02fdfbd9, 0x3933c963, 0xbd8106b1, 0x400672f6, 0x98218764, 0x9fad540c,
+    0x9f5c6e15, 0xaa185fe8, 0xaad89693, 0x8cf031b3, 0xa0b127c8, 0xb9982ffa, 0x985b2f10, 0xed13026c,
+    0x484f741e, 0xafa93ba4, 0xb23fbf6a, 0x2b0c5d65, 0x4f6b9873, 0xcee49250, 0x9e594b58, 0xd438ac8b,
+    0x103b4405, 0x81fe8382, 0x2368f77c, 0x943722f9, 0x5305c8d9, 0x939759a1, 0xb72a621b, 0xdb518940,
+    0x52a79692, 0x031dd590, 0x308dea8b, 0xa64ea034, 0x6b68988b, 0xaebcabaa, 0x5cf0fec0, 0x4c2f5d64,
+    0xbbd8b7b1, 0x6674ada4, 0xb7d4d033, 0x0a6b9fb6, 0x2336d2a3, 0x069e5079, 0x87a15ea2, 0x752fdb90,
+    0x84743ff4, 0xaf5d4781, 0x9781fcd0, 0x46ce0da6, 0x2eb0ceb4, 0x691848b0, 0xe62f1d99, 0x98627393,
+    0x012e1605, 0x28495f48, 0x907aafca, 0xc13aa033, 0x361cb782, 0xc76daa5a, 0x6b6de8c9, 0xbd9eba35,
+    0x2ef27cb9, 0xedf9591f, 0x69838c58, 0x40592f50, 0x90576c05, 0x30c1d5d0, 0x8e83a915, 0x90a4e984,
+    0xfefd4cd1, 0x3702fdf5, 0x965ad87c, 0xbc194190, 0x304a2528, 0x72d7fcab, 0x15cbb102, 0xecb7ab48,
+    0x546b08fb, 0x8c9673b8, 0xa34a0c00, 0x29e71781, 0xee239d32, 0x237606cb, 0x2d16d362, 0xdd120a1e,
+    0xd379e130, 0x66d6f52c, 0x906c76e7, 0xd48ebbb3, 0x87fd5191, 0x9fc4f4ea, 0xbcf08ee7, 0xd1322fbb,
+    0x430aa82c, 0x8b52f423, 0xbd6ee619, 0xbcd8648a, 0x88e85619, 0xd2b42a28, 0x27074f4c, 0x45821b4a,
+    0xeb044015, 0xed09afdf, 0x8c3b5bbe, 0x641e5d1c, 0xf2afd529, 0x346b7559, 0x55187ffd, 0xad9a289f,
+    0x4e458540, 0x6e483f3e, 0x68c7a4d6, 0xe235e09a, 0x153ab8fb, 0xbc54f1b5, 0x2d292bc1, 0xa2b70b33,
+    0xc1bbb9b9, 0xcc9e3879, 0xe03de606, 0x7cb3cf80, 0x15c0cfde, 0xe277eebf, 0x13a9d79f, 0x3f26b31d,
+    0x25999490, 0x5080ec67, 0x41c1d50a, 0x64bce794, 0xe4235a64, 0xac3eb208, 0x24652fe6, 0x164c4a83,
+    0xaed0fed7, 0xe8299467, 0xad9c9e26, 0xf333223c, 0xbab32a83, 0x43244a33, 0xb910a348, 0xbb3b1f1b,
+    0x6a17d43b, 0xa78402b0, 0x196a7324, 0x8bb220b8, 0xa4d31b5f, 0x4057df85, 0x641166ec, 0x96245d1f,
+    0xbe87f744, 0xd00868e7, 0xe0096b7e, 0xb9da14db, 0x322b109a, 0xe6e11c14, 0xd0ff9b06, 0x6c30e4de,
+    0xd238774f, 0x03ee52b8, 0x1f5deef8, 0x0feafe1a, 0x86461746, 0xe3ab6236, 0xe0612f0e, 0x43d31c8f,
+    0x24b4d42f, 0x8882ca3b, 0x4cdd25a8, 0xe699182e, 0x8a9e9e48, 0xc1333db2, 0xbf21b748, 0xaf5f0e97,
+    0x683e7054, 0x07c6fecb, 0x571e82aa, 0x7111a200, 0x0d51c823, 0x139ddb17, 0x441d9c89, 0x2ea2edf2,
+    0x38f54dd5, 0xdf648953, 0x1ceea59a, 0xe3372318, 0x36eb6237, 0x57d4c945, 0x04c0a1c1, 0x1215c07b,
+    0xe65561d5, 0x72cef951, 0x8a5bd580, 0xd41ebca8, 0x9a304208, 0xf281c831, 0x09908cc8, 0x54a67c36,
+    0x28667c1b, 0x612c8683, 0xfc717257, 0xb90b7614, 0xbc2f128c, 0xab91a83e, 0xc4c2b1bb, 0x9c6a112b,
+    0x8e73e908, 0x47250b38, 0xf9e5f892, 0x86601a6c, 0x2bdfd659, 0x2c58291c, 0x2d9ffcac, 0x3768338c,
+    0xd12e8a2e, 0x28eb25ec, 0xc6a2ee7e, 0x15b0a705, 0x91a2f887, 0x35395018, 0xa068ab31, 0x01a5bf27,
+    0x8649dd53, 0xd51c4f27, 0x12e16514, 0x868d4772, 0x8ba5b4c9, 0xb683670e, 0x5880b44f, 0x2c95ef34,
+    0xa7a242ce, 0x22b04ac8, 0x9e225aa6, 0x6cdfb9aa, 0xd328bcae, 0xaa5de370, 0xd62a3743, 0x6bfae62c,
+    0x529d28a1, 0x2534f796, 0x597a6406, 0x56a3990f, 0x21a81566, 0x5991cb88, 0xe803a4d7, 0x9644a5b1,
+    0x02704120, 0x6deaac73, 0x1402a871, 0x544e91c6, 0xcb2f37e3, 0x95b1c607, 0x4c929318, 0xd0d18cb4,
+    0xd3c20948, 0x7b4259ad, 0x89b5e2f1, 0xbe896a9f, 0x7e0854e1, 0x1d095fdd, 0xbc6d576c, 0x6dd5dafb,
+    0x042bada4, 0x1e84fa5d, 0xe1373744, 0x65e1d4d9, 0xa0e17287, 0x142197ec, 0x43cf0448, 0xf345303a,
+    0xee2de005, 0xcfd3a204, 0x3c629b9f, 0x35dd624d, 0x93244430, 0x4856a5d9, 0xa49acbc7, 0x28284e4b,
+    0x61a6feab, 0xfd0a7104, 0xffb3ce8d, 0x282292a8, 0xcb0edfb7, 0xa81cfad7, 0x969dda5b, 0xdbf21e01,
+    0x22564b6d, 0x21637611, 0xdb806f9b, 0xb0a57645, 0x07fe78f3, 0x75f16dbc, 0x274c8f83, 0xc62c9a1c,
+    0x16ff2809, 0xd49a866b, 0x376ee825, 0xb900d618, 0x2c877aea, 0xaef4ac37, 0x8ac25100, 0xd6b7edc5,
+    0x4619a2c7, 0x796cd867, 0x0802f5c1, 0x800a0aa5, 0x6d5eac8b, 0x53463981, 0x0d0a685c, 0x01fcd5ca,
+    0x6381a8f0, 0x728bc0e9, 0x45d9cc3b, 0x8160dbe9, 0x596b04cf, 0x1aef4031, 0x94c5769a, 0x8ce21b5d,
+    0xab6c2fc3, 0x89bf302a, 0xda8e99e9, 0x833ad4ed, 0x6d2ae9d5, 0xb8e76ce5, 0x8459e7b0, 0x37622b7f,
+    0x51ab5c59, 0xbaab28e8, 0x1fe0b630, 0xf966f692, 0x2857e886, 0x9439bb67, 0xbb0b0cfd, 0x31c70562,
+    0x0e37e54c, 0xe55721d5, 0x703d0b9b, 0x405e1eb2, 0xc0054eeb, 0xa84189e4, 0x1cf79952, 0x885adaaf,
+    0xa7676cb2, 0x57688c76, 0xbafd5fbb, 0x2bf7e6c3, 0x40e0c945, 0x30834645, 0xf9dfc9f8, 0x5fd76d0d,
+    0x3c759589, 0x1b5d0879, 0xf9383f82, 0x8ed4b3b0, 0x61e6d12f, 0x308edad6, 0x5dddc318, 0x00b111c9,
+    0x7d37294e, 0xdce0c212, 0x7d80cbcf, 0x33aa9441, 0x1d1d2853, 0x3ed05f41, 0x5ea120a7, 0x57f2a09c,
+    0xa7430425, 0xd9fbd7b9, 0xab923f10, 0xa253d4e6, 0x39a63ccc, 0x1e6d20a4, 0x74fa577b, 0xa284ac58,
+    0x85e10cd6, 0x9a0519f2, 0xb9978b86, 0xaebfd7aa, 0x8159ecbb, 0x0e7ebdd8, 0xcb361edc, 0x6c6e9b56,
+    0xf04e3eb8, 0x6e14d832, 0xb59bfb72, 0x3a7a8f5f, 0xf10c2d74, 0xca80a94f, 0xf3bb7ace, 0x3f2f5751,
+    0xb535bc19, 0x64f35e01, 0x80d08076, 0x0f70870f, 0xac3f7d3a, 0xe784e9ea, 0x719ef84e, 0xd0a0da32,
+    0xb94efba2, 0x66be388c, 0xcd0da3d0, 0x5e34dc2e, 0xd793c517, 0xfc0b4ef5, 0x7eb15ba9, 0xfba4157d,
+    0x1aaa35be, 0x3bcb7db2, 0x0ed73852, 0xb4fcadc5, 0x7349e543, 0xedccde4e, 0xe572c784, 0x6485d5c0,
+    0xa022a0da, 0x8b6e7348, 0x1bbd8ac7, 0xa27b29e5, 0x0a1f0a1a, 0xfa8a4b33, 0xa8f535f7, 0x5f311014,
+    0xb4f92806, 0x79b7ca44, 0x90c8592a, 0xb8588ece, 0x4e2a5cf1, 0x36a79aca, 0xb858d238, 0x136454dc,
+    0x7d231fd9, 0x6d2333ab, 0x22e565ea, 0xf21df279, 0x191eef02, 0x17d9f69f, 0x9e74e70c, 0xcf2759c0,
+    0x9f0490e4, 0x78da47ae, 0xb3e8ca71, 0xfb08a437, 0x1d4cf988, 0xd2f6f428, 0x3dd88250, 0x7b111d50,
+    0x65007fb3, 0x217a671c, 0x8d4e97e6, 0x29739477, 0x45a3efda, 0x48f80ac2, 0x797e75d3, 0xbf9a8930,
+    0xfbdbc47a, 0x18e367bc, 0xe2bec116, 0xd537832a, 0xfb9086c5, 0xc73eb2ff, 0xb59127e9, 0xf4ee7d3a,
+    0xebe88308, 0x3cab2c38, 0x040120c7, 0x5379b9e5, 0x1fd68f55, 0x786810be, 0xc0410013, 0xe6fad2a0,
+    0x4c471d95, 0x4e3c33f9, 0xf7c1681b, 0x12e8b8c7, 0x2b4487c5, 0x3162a23c, 0x3c316737, 0x68a6b743,
+    0xa1927026, 0xf798fb42, 0x8090c082, 0x58b25629, 0x8c9af4bb, 0xbc3dd3d0, 0x64411566, 0x0a57a1a7,
+    0x9be2a6b1, 0x3fa9b592, 0x124ca206, 0x6fd9f9c8, 0xc86bf0cb, 0x16d138b7, 0xee5b4109, 0xc7f45013,
+    0x89f34cfa, 0x7c321467, 0x601b1b17, 0xc118473b, 0xefd20eee, 0xa1d8e4fb, 0xb0e17fdb, 0x3dd35595,
+    0x0d447fae, 0x08bc7f78, 0x9212cdde, 0x18d977f5, 0x1eebf3c1, 0x5613c2a9, 0x3c355458, 0xbf59a316,
+    0x3f06e89a, 0xd9c90eaa, 0x8bc9f624, 0xc67a4023, 0x54a4885e, 0x7440eb1f, 0x24a90eb2, 0xc6718a20,
+    0xc2769b40, 0x0c86a488, 0x72e82c96, 0xa3b1dacb, 0x0ac3b36a, 0x99b4258a, 0xab6f1bcf, 0x86dfd019,
+    0x51bd7238, 0xc9315abc, 0xfc7abfa1, 0x5e719168, 0x330cac7b, 0xd52a5d3d, 0xf085515a, 0xef43edd7,
+    0xf5aa588c, 0xf0cacd29, 0xe9e97083, 0x7d4ae6f0, 0x8eb8ab89, 0x850b5bd2, 0xc642cefc, 0xb4e8733b,
+    0x70a6b95c, 0xe5453227, 0x51af1ca6, 0x87b4f0e6, 0x17c8acb8, 0xa339cd71, 0x234f7372, 0xef6a9621,
+    0x4e483fdb, 0xdbc8d62f, 0xfbe22b6a, 0x3cc52043, 0x0889e5c5, 0xae443700, 0x7bf2bb1d, 0xde92c869,
+    0xef395254, 0x273937c3, 0x3b9f469b, 0xa37ccf20, 0xefba5d48, 0x5b255a11, 0xcb139411, 0x41c30897,
+    0x083a2eef, 0x4f0b9d4a, 0xe85576be, 0xf754b588, 0xfc335ce4, 0xb482d16e, 0x54113d14, 0x1f292b16,
+    0xded7e3b5, 0x798632ff, 0x44344fb8, 0xaf67d947, 0xb1c8900a, 0xd77fc072, 0x92c14477, 0x49badbf3,
+    0xa88400eb, 0x43f54b26, 0xc5f30008, 0x5253b599, 0x899bb44e, 0x73846d71, 0x653c0d9c, 0x1dd30f9c,
+    0xebea113f, 0xda4c5d79, 0x6c5fe70c, 0x05b1a5ee, 0x356dd527, 0x2ef34f35, 0x1605fd93, 0xf2bebaa0,
+    0x8ced3665, 0x9dbfb4a1, 0x22448e3a, 0x007723fe, 0x42bd7511, 0xcb191159, 0xa7f7b2f4, 0xd6fb312e,
+    0x872a5f9b, 0x0cd2a769, 0xdb2b4fc1, 0xb739ed0b, 0x73a9dc43, 0x71e931fc, 0xee788c7c, 0x4fa32cd0,
+    0x77807c37, 0xc0c38d4c, 0x7bf83a05, 0x062c72e1, 0xa33af7fa, 0xfc232545, 0x6174ba1e, 0x004305bb,
+    0xaa63c743, 0x88892967, 0xba1351f9, 0x876f470f, 0x8f688a38, 0x7a892972, 0x574d97c9, 0x09382988,
+    0x5824ad61, 0xf90147d2, 0x9dc307c4, 0xdf7f384c, 0xc79d763c, 0x03dcc0b7, 0x47b040e7, 0xd35c34e0,
+    0x3f7928f3, 0x3bc301e3, 0x6de3951a, 0xf181bc66, 0x4ff69168, 0x98cd9f38, 0x0633f736, 0x94ddd869,
+    0x7d7bca65, 0x9cfbee32, 0xd93f3027, 0x3d16903e, 0x9cf39182, 0x2a49bb79, 0x163696e8, 0x2ec45abf,
+    0xde76d794, 0x54a5a46e, 0xaf5d4069, 0x02b87a19, 0x6da1ee59, 0x1382fae2, 0x791e84bf, 0x155b9952,
+    0x9c46728e, 0x31f19dd5, 0x5aa41403, 0x83ed6ac6, 0x188462fb, 0xcbc043d2, 0xba290314, 0x0126dff4,
+    0x8a575d4c, 0x353638e7, 0x5d41aa03, 0x05a64b58, 0xd8dd7201, 0x0b9f70cc, 0xc1772385, 0x776223f2,
+    0xe8b6dc3d, 0x4318932d, 0x6266a88e, 0xe7e38dce, 0xf41c6dcc, 0x5b174791, 0x60fdfb10, 0x0f28568c,
+    0x9647ae0d, 0xbf3946cd, 0x468b1972, 0x671597ba, 0xdd6a0be5, 0xf0f816bc, 0x254e4968, 0x94b7100b,
+    0xf22a05d8, 0x422b3ad1, 0xa7e0fc74, 0x2c71bc4e, 0xcf65a252, 0xab7fd602, 0x8faf1810, 0xa5fd98ac,
+    0xce46a46e, 0xcaa853a4, 0x50f016c2, 0xe95e1b35, 0x61e4e32b, 0xf10d8e1e, 0xdec3970c, 0x9b72a4ff,
+    0x1b550110, 0xeeb47c8f, 0x1b806ee0, 0x0679e59d, 0x77ef6d24, 0x24d37101, 0x346e540b, 0xff843220,
+    0x7d0cd2b3, 0x965ea0da, 0xbae26b96, 0x099e8552, 0x2e0879c8, 0xf2f5a331, 0xcc6a5e86, 0x78be5792,
+    0x0d6fff55, 0x3eb358bb, 0x7ee5096e, 0xe0514b8f, 0x45475f80, 0xeed5b868, 0xdb1f0b12, 0xe22a8e1b,
+    0x89726ca1, 0xdfac6175, 0xa573cf08, 0x1638dc1b, 0xffcbcc7d, 0x216182dd, 0xd3daba58, 0x2a679384,
+    0x60cdc04f, 0x5d4394ce, 0x854fafb4, 0xdb1a5a07, 0x7eb436ec, 0x4e8932ef, 0x87670f59, 0xf0ddd842,
+    0xb56eee39, 0x6589d7f6, 0xc6f19a91, 0x00a73f46, 0xb61c65de, 0x8ef6d1fb, 0x4e8c0af0, 0xd5f29078,
+    0x24c4abb7, 0xf2168410, 0x22b2a0fa, 0x4161e732, 0x71de6ae2, 0x8d34ad0c, 0x43f09cde, 0x24f538b3,
+    0x97783450, 0xf168e9dd, 0xea92881c, 0xb077b6e2, 0x91b742bc, 0xd64835af, 0x25cdbe4e, 0x85e15bed,
+    0x7895a9ba, 0xf45b015d, 0x2dceb08b, 0x16b0f0e1, 0x32e66d63, 0xef869618, 0x9133e93e, 0x451eb787,
+    0xbbccd40f, 0xb0976d5b, 0x22d65faa, 0x1c7078f2, 0x861161cc, 0x576ada85, 0x1f957f86, 0x637aa6fd,
+    0xc79460a1, 0x7ea71e52, 0xee91bd72, 0x3d7527c0, 0x49f524b1, 0xfce59dda, 0xc249ae2e, 0xb941150a,
+    0x928affac, 0xfb4d1ada, 0x55069e27, 0x4cfb2e6f, 0x75c17fff, 0x33d5e5df, 0x7b9b5ac1, 0xdde66a3d,
+    0x861b1c2d, 0x8e9010a8, 0x4693c01c, 0x59891769, 0x84416eea, 0x2c5f320b, 0x3774c7e3, 0x85a506f8,
+    0x11084ef3, 0x068f90cb, 0x45211cf8, 0xbb457145, 0x5805d6a7, 0xcd233045, 0x71ef0185, 0x09bdc14b,
+    0xff9709c6, 0xae0c2fe4, 0xf17e5494, 0x2758ff8a, 0xecd54605, 0x29473794, 0xf3ff678d, 0xa1fb9a3d,
+    0xc7804b8b, 0x0f3858f7, 0x6c766402, 0xd660ce10, 0xabe7f01b, 0x3ba7b2e9, 0x69f9fca0, 0xea3a9db6,
+    0xed890fe6, 0x214a0b31, 0x2a439353, 0xbaafcb38, 0xdb45bc77, 0xf417cef8, 0xfcb73432, 0x7dd1f15f,
+    0xd5fdf866, 0x9c2b4c7f, 0x7a9eb8d6, 0xfa8f670d, 0x392d7e4b, 0x3879b56f, 0xa3262cc0, 0x4d59796f,
+    0xb70581cf, 0x7a60868a, 0x1c3b70e1, 0x64efa82b, 0xc51b61dd, 0x79c2da2b, 0xc64749e1, 0x1bf09311,
+    0x1f008e8c, 0xd107a92d, 0x7600a541, 0x5af1a54e, 0x274f01f2, 0xd05091e8, 0x9af11425, 0x08bc7b3f,
+    0xd4ba93b7, 0x08aaa66c, 0xdae8d69c, 0x9cd7cdae, 0xdc23161d, 0x84ec17d3, 0xb4edd2a3, 0xe516e58a,
+    0xa73e2b70, 0x81ac1e0b, 0xe12d9d55, 0xab6d42dd, 0xbfac6da2, 0xb04b8b15, 0x75ad61b3, 0xff240b7f,
+    0x8e6939e0, 0x7b94ecf4, 0xd37e20b3, 0x2519c99e, 0xda2c5821, 0x368cf4be, 0xe0bcbceb, 0xbbb10cb2,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000110427941548649020598956093796432407239217743554726184882600387580788736 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d236, 0xd590105b,
+    0x00000000,
+    0xf59cd4f7, 0x6c5be1ad, 0x15ecea8d, 0xa0805e6f, 0x3dde6a0b, 0x73e7c4fc, 0x1cae5a14, 0x53aa42d9,
+    0xc11ca22e, 0x9f0cc3cf, 0xa2ef6120, 0x0d8f3ec9, 0x5e91c862, 0xb9ce8467, 0xd6d997da, 0x358d02c7,
+    0x61d9d0d8, 0xdd98198a, 0xcdcd0d3c, 0xdf790631, 0x39232bd0, 0x71974236, 0x77191085, 0xca64ba77,
+    0xc9c84029, 0x82e9c5ce, 0x8827f96b, 0x4aea7bbe, 0x31a80564, 0xc891cd90, 0xa3aa482c, 0xfe15fd11,
+    0xa99d2eb6, 0xb9dcce3c, 0xdeab070e, 0x137c834a, 0x4998df26, 0x0748320f, 0x9e48c2bf, 0x55c755f0,
+    0x44adc882, 0x52c886f7, 0x6dff391b, 0x195e70d9, 0xcb2be4c2, 0xc3120dc9, 0x06ed059c, 0x45dff41a,
+    0x6fa1d6f3, 0xc9d3d7b6, 0x59e163b6, 0x37f9498b, 0x0a8b9691, 0x92d91138, 0x33ce4040, 0x369a50c0,
+    0xee9a9ddb, 0x4acf7a3e, 0xa555a725, 0x28e682bf, 0xa82628e8, 0xf2c9943a, 0x875a4092, 0x88f9e501,
+    0x3a498f6e, 0xd1a05268, 0x99adf33e, 0xc3ad0d7a, 0x7defdcbd, 0x2f978bca, 0x580a2066, 0xac00f6fc,
+    0x82cc906e, 0xbd53dc8d, 0xcfe8cee6, 0x44ec28b0, 0x6b1dbdc8, 0xfb5bfd33, 0xbcc5eea3, 0x75b91cc8,
+    0x20655848, 0x9e25ec69, 0x5cf060d3, 0xd11a4160, 0x1a438dff, 0xcba2ddb6, 0x1e5e7d10, 0x836897c7,
+    0x83c417d0, 0x751fc196, 0xd3138a83, 0x9bc0a7f4, 0x7635e0cb, 0x728da575, 0xae460cb3, 0xce2585f5,
+    0xe021492e, 0x00b3c2be, 0xffdbbc91, 0x2fd48577, 0x43a815b7, 0x55ea1b89, 0x21283b02, 0xb3f6a4e1,
+    0xeab53470, 0xac59925d, 0xada44240, 0xce490059, 0x36d1d69a, 0x778a22b4, 0x3a5a2cbe, 0x5ea6860f,
+    0xf3297518, 0xe8cc19d9, 0x32056703, 0x0f67856a, 0x14aac413, 0x2bc2f606, 0xace501de, 0x7427d1b5,
+    0xf621f1c5, 0xeffed101, 0x96a0837b, 0xb7d83079, 0x47807c2e, 0xa1113af7, 0x76d11abc, 0xee94d9e7,
+    0x24d55e45, 0x4e7ab9ee, 0x4fa716b7, 0x6cd3ea37, 0xedc3f409, 0xde4c7df2, 0x7c9676b7, 0x459f5e0d,
+    0x92e89a84, 0x7716eb9c, 0x57371fa9, 0x68d4ac36, 0x1178158f, 0xafbf3f39, 0xb31c252c, 0x4a4adac2,
+    0x372010ed, 0x5aa80fb9, 0x5a1d7534, 0xcf8fb684, 0x4e3ec7ce, 0x68f12cbd, 0xc4381149, 0xdd36b5ae,
+    0xf956ebc1, 0x0e5d8e59, 0x4e63621c, 0x857fbdea, 0xc0346130, 0x9fc8fd63, 0x528bc054, 0xcd3aabd7,
+    0x0a86827b, 0x118fb33e, 0x7511a84f, 0xd986d8be, 0x01a1438d, 0x3d524f54, 0x3801e2da, 0xfe73de82,
+    0x4f1f9df7, 0x685f5806, 0xa3ecca30, 0xeae649b1, 0xd4d297da, 0x94d5b248, 0x1349871c, 0x5bfb73c5,
+    0x3d8fdf05, 0x315b8ad7, 0xe163ff36, 0xa76a1559, 0xcfadaa50, 0x93cc9ee9, 0x43847388, 0xf37405ce,
+    0x6c48c9d1, 0xe855b684, 0x8b2061f8, 0xfd4a25a1, 0xb5f0350e, 0xd04e2ee3, 0x201a7756, 0x35c892e2,
+    0x9828024e, 0xb0be44dd, 0x77479649, 0x9a48fe70, 0xbe018c51, 0xbb2fb19a, 0xc25f4405, 0xd53ad19b,
+    0x2069a7b8, 0x364bb8fa, 0x475ab04e, 0xc8e6e6b3, 0xecaeceee, 0x9e731976, 0x90190ddb, 0x1806289c,
+    0xb9cb011a, 0x9b03ae0c, 0xe908bade, 0x1f2adf16, 0x033b10e3, 0x83716997, 0xd93c9751, 0x30417141,
+    0xd0fe6488, 0x4a0101ba, 0x29479b77, 0xbd2275af, 0x259ed50d, 0x1e4e03d3, 0xd490c881, 0x94693e61,
+    0x241d654d, 0x5402ecb1, 0xe21bc045, 0xe99ef82f, 0x3eca0879, 0x93fc7571, 0xf143ff07, 0x0b390ea4,
+    0xad642abc, 0x133401f9, 0x03b83088, 0x56e71191, 0xedd1ee61, 0x81ba35c0, 0x5924ca83, 0x52089e60,
+    0x249250b7, 0x9088dc54, 0x758ca23c, 0x08902c89, 0x8dc22376, 0x5db5d4f4, 0x7963a000, 0x41580b67,
+    0x6456b195, 0xc2f7bdd8, 0x600cf1c9, 0xe58c3a7e, 0xb7ae2b47, 0x1e493aef, 0xcf808d4f, 0xc9221de2,
+    0xf3511120, 0xd519e1da, 0x3fc8a642, 0x669c7f13, 0x616f9b89, 0x9bb369f2, 0x9bade7be, 0x2652f3ac,
+    0xc85cd3ff, 0xb542d773, 0x65c85f05, 0x2bd205ef, 0x5d457f81, 0x7faa0d13, 0x4468de06, 0x8b729cf5,
+    0x020b704d, 0x52a14a68, 0x5e223460, 0x283fb98b, 0xd0ee29b5, 0x9459c630, 0x7c521060, 0xe1520055,
+    0x5cdf8424, 0x1791ed01, 0xb6b25927, 0x619ddda0, 0xc6e0bd55, 0x03a7c9ce, 0x0f75586d, 0x3e5106b9,
+    0x2cbca67c, 0x438c66eb, 0x8f20a57c, 0x6d66a626, 0xb3453985, 0xd5cc51d2, 0x3216815c, 0x1634a050,
+    0x77227be6, 0xada932e2, 0x8b9f7350, 0xc89cec19, 0x49a48ed7, 0xafe52a33, 0xef5bbd14, 0x93d2cbeb,
+    0x989effcf, 0x0daa070e, 0x9c76de1e, 0x6aea8b3e, 0xb07ebd87, 0x230f005a, 0xb4d030a6, 0x24f1fd02,
+    0x0e7bb6a6, 0xbe9d6182, 0xf595a10b, 0x7f70f44a, 0xc47381de, 0x4bdead8a, 0x50abdb18, 0x995489b5,
+    0x8f3704d1, 0x6220d015, 0x63e51b5d, 0xa8cb4d75, 0x148bc3d0, 0x078a1c89, 0x0768bd18, 0x9d69f5dc,
+    0xa043c3d1, 0xa69521f1, 0x892cbc13, 0xd19b68a0, 0xcac61ce6, 0x1d449ad9, 0x038abce5, 0xfeec4bbc,
+    0x9b32ddd8, 0x7b0a45a9, 0x20c8350e, 0x5ad4b3d3, 0xb8511e26, 0xab692a0a, 0x4ceaefc7, 0xa97a43fd,
+    0x3a32b77e, 0xdbd4a0a0, 0x5b8b522b, 0xcb0b8a91, 0x7d4a8d09, 0x1714ff25, 0x47aa3082, 0x45cd6c8a,
+    0x1689e753, 0x0ffc6876, 0x4c7d6651, 0x1707e44d, 0x70577c18, 0xc712ac91, 0xd064d8c8, 0x4b971923,
+    0xea6316f1, 0xbbf6a1ad, 0xb71b7813, 0xf8afe842, 0x33c92b67, 0x6888d964, 0x937aad65, 0x42314461,
+    0x868885f9, 0x349598e1, 0x22d2f01b, 0x471ece02, 0x7e0a8578, 0x2126889e, 0xe69cfffc, 0x6697c899,
+    0x04c401a8, 0xc5793eea, 0xa22f09a7, 0xdc95e6e7, 0xe6b6e5a1, 0x7675a648, 0x1009c21b, 0xd7cf9a8b,
+    0x3a5177f4, 0x0cfb871d, 0xa01ae1f6, 0x92ae24a1, 0x2a4ee4e4, 0x09f040cb, 0xe951c3ef, 0xc4ccc2b0,
+    0xbe1f32b7, 0xa1c14001, 0x7e83ee76, 0xda1a361a, 0x7a24ceca, 0x15c47c6d, 0xed810800, 0xfcbfc05a,
+    0xa57219a5, 0x6deeac5b, 0x74362918, 0xa82c25ef, 0xa2582e9d, 0x5392da91, 0xb83d9b13, 0x9b3195d5,
+    0xe0b8645f, 0x910b31eb, 0xc1c06202, 0xf46d2614, 0xe22d5a71, 0xed571596, 0x3314456f, 0xef582581,
+    0xd69dded1, 0x3ba2e482, 0x79f722b9, 0x88c22c4b, 0x40b87201, 0x7f460b39, 0xa26960fc, 0x42acaef1,
+    0x5efe0b24, 0x56c54ce0, 0x37326080, 0xf3417e2c, 0x64ec26d9, 0xa4897312, 0x2e836e2e, 0x63b07068,
+    0xb196b0f7, 0xda6301a0, 0x44fd87b2, 0xfd47edcd, 0x46746f12, 0x590e6919, 0xdebf3359, 0xd58252e6,
+    0xa4a87323, 0x1352fbf7, 0x8ead4e6e, 0xfa7965c8, 0x9a6571d4, 0x2cbfdf93, 0x0af8f65b, 0xcbc74b9d,
+    0xbfe0f7de, 0x91622682, 0xf25b36fd, 0x2161f4ce, 0x3dbb1098, 0x3d1f4384, 0x1b104121, 0xbea98908,
+    0xe3e10cd8, 0x7296f319, 0x16aef718, 0xf4dc319d, 0x055bc99e, 0xe02444d9, 0x6db9d8f7, 0xc65cc5a2,
+    0xed0ec5b0, 0x62d9e2f7, 0xf74ded33, 0xf36a0872, 0x7b7985f8, 0x92f389a3, 0xd4fd928c, 0xef83c331,
+    0xebefc38c, 0x1def37a1, 0x21866139, 0x7ef72852, 0x37aa825d, 0xb643d556, 0x913895af, 0x058ac655,
+    0x3c6b2be2, 0x67e405ad, 0xd0b18022, 0x6d7286a1, 0xff15bf84, 0x84074472, 0xca199a22, 0x8360ab47,
+    0x746fcb2c, 0xf53a6063, 0xd08433b4, 0x1fa0607d, 0x4c632977, 0x7cfb595f, 0x9e8eff16, 0x75b44bfc,
+    0x000133b1, 0xb6cbb230, 0x854cf45c, 0x9be9f886, 0x7ef8d659, 0xdc281b14, 0x4df2b6ff, 0x18ff7bf1,
+    0x43e5d3e6, 0xc6d7dfbe, 0x002f2f58, 0x0996fc59, 0x6c304674, 0x4145994c, 0x34e55958, 0xe3b7cc1d,
+    0xaeea4e3b, 0xea6c13a3, 0xaa8f879d, 0x692873eb, 0x5b6a546c, 0xa00b9ea8, 0xe8220884, 0xcf4b1666,
+    0xd51deec3, 0x55c997c6, 0x8bd18c42, 0x5bba1542, 0x6532b742, 0x98c85f1c, 0x589756ab, 0x60a8b6c2,
+    0x627c6f0a, 0x22abdcaa, 0x00a56ce7, 0xd4f288f6, 0x2b839c12, 0x32825e80, 0x63b17184, 0x93fbff8a,
+    0x26f6e019, 0x7d63ba7d, 0x85c06234, 0x2e61b72e, 0xc685ac3e, 0xd2eda052, 0xbf5a3b35, 0x73541f94,
+    0x51936d62, 0x6bc544a9, 0x07bd8d85, 0xfb7644b4, 0xd68c88f1, 0x5f8bf847, 0x59eaf4bb, 0x25fa9770,
+    0x723b1b54, 0x35d29dc5, 0xbee30117, 0xfc69f9b0, 0x5d42f1ce, 0x79b9b400, 0x6896a9df, 0xeb2edd54,
+    0x32feb57f, 0x2a254333, 0x49473a0c, 0xbd29eb5a, 0xf2383582, 0xd727520e, 0xb471f3cb, 0x24b8a9a1,
+    0xe0fc4baf, 0x166122a0, 0x1ada16cb, 0xcc350403, 0xb48e43e9, 0x94fdf207, 0xee845fca, 0x5acf661a,
+    0x0d680703, 0xdb3eba48, 0x52a4046e, 0xdbba269d, 0x75f563ad, 0x2b3969e6, 0x92d6ac47, 0x742d1323,
+    0xb093bfe7, 0x1f37a1a0, 0xfee7341d, 0xb6d3dfd2, 0xadad25c8, 0xb2cb3d68, 0x8678e49b, 0x4311e0b0,
+    0xcb9a08f2, 0x54f357f2, 0x8071ca86, 0x5a2873be, 0xba570d89, 0x2ad4e3b3, 0xe6b6e96f, 0xc97b8843,
+    0x90eb9e0e, 0xe5774e80, 0xf72bdc3e, 0xa8945927, 0xa50b2f24, 0x76d61bac, 0x6fd0405b, 0xc7a04921,
+    0xbc364014, 0xc84e7961, 0x325f9736, 0x3c6a30ea, 0x190cf507, 0x6c19a057, 0x0b94f628, 0x79de3807,
+    0x3256f031, 0x2408fbc9, 0xb5af60ed, 0x6b9ec112, 0xbe6a1650, 0xb08e62cd, 0x8e0aef26, 0x0709fda5,
+    0xd4e873f2, 0xa9370d4f, 0x33cccdb1, 0x299c7304, 0xfaac1c01, 0x39d6e8f1, 0x258687da, 0x9a66aa89,
+    0x60eb7786, 0xd000cea2, 0xf29c1c1a, 0x81676cf3, 0x831ef229, 0xe7921a28, 0x9c96a7db, 0x083b7dbb,
+    0xbccbb389, 0xa6fa9831, 0xcba0d00f, 0x2483bd90, 0xa2999a9f, 0x87d0d7a9, 0xe1c377f3, 0xa7ee2105,
+    0xa046b6a7, 0xf6fa695f, 0xd6710160, 0x1e169c8f, 0x47d05c6a, 0xe84e4288, 0x5d9a3c83, 0x3e341e2c,
+    0x331e6cc5, 0x88e59601, 0x49633f6f, 0xc387e32c, 0xbb9c9e24, 0xbbcd4fec, 0xfac14a59, 0x74be45af,
+    0x72e7f612, 0xeac4a800, 0x8c2c2003, 0xdd1bcaab, 0xb698546d, 0xf991c6de, 0x4af43147, 0x69bc5d2c,
+    0xbf3c7bc7, 0x2f519924, 0xa4c75e7f, 0xb8ac466a, 0xb3504733, 0x01475a7e, 0xb2ddc6ac, 0x498561e7,
+    0x9cce9ef3, 0x9e89f03b, 0x4428c264, 0x29eca57a, 0x622867e9, 0x27dba5b7, 0xf280380a, 0x6683e9cd,
+    0x5a6141b4, 0xa2c050de, 0x3b4d75c5, 0x0ddb6ccd, 0x58e3f24a, 0xe56e0842, 0x96d8b331, 0x7dccbdd5,
+    0xfb23a08d, 0x399984eb, 0x59b41013, 0xf075a0d4, 0xb3179693, 0xe07b96bc, 0x1ee60666, 0x2b5ac87e,
+    0xe3762027, 0x3b7aa406, 0x2c0642a9, 0xd207ed30, 0xc9f46d72, 0xbdcd195f, 0x68c10453, 0xae35aec4,
+    0x9e693cf3, 0xe82afcd0, 0xd69ce868, 0x94ca5999, 0x25a2cd38, 0x876e4afc, 0x75d8f753, 0xdd35f24e,
+    0x7b6f06e7, 0x75248938, 0x86df6715, 0xbe4bacac, 0x511481a0, 0x575a7681, 0x1041ac7a, 0xc2eb7309,
+    0x79789e3a, 0x7002003a, 0xe873632e, 0x073d6eb0, 0xbd9ce615, 0xbd44712a, 0xf492856d, 0x7b549c40,
+    0xbb27b143, 0xb822215a, 0x6c225622, 0xb070251a, 0xff430a99, 0xd8f08414, 0x9a6f2531, 0x400acd1d,
+    0xd3faa7b0, 0x42bd05f3, 0x93d85076, 0x14cec511, 0xbf3b204e, 0x7d9bd3d4, 0xdd93691c, 0x96cecfdc,
+    0xb52fb880, 0x9981ddf8, 0x9ba6782f, 0x8f6d30ad, 0xf4cb2a72, 0xd7f9d0d6, 0x145178a4, 0x1e921c51,
+    0x89b9cd81, 0x99c4a25e, 0x0bebc28c, 0x4e950e23, 0xeb2ea9fc, 0x833bcf82, 0x40358766, 0xe22faffa,
+    0xa59f1628, 0xf07bb8f1, 0x814f4029, 0x9ad5d695, 0x39ce7428, 0x1e779b55, 0xc928ed5d, 0xaefeb9c5,
+    0x8b239ba3, 0xe1ede2be, 0xc5e688ae, 0x57fb56e5, 0x412efb83, 0x595c17e4, 0x66b1801a, 0x821c137f,
+    0x11f07907, 0xe9488f09, 0x92ed50a7, 0x591f72b6, 0x3f338234, 0x7e4cd779, 0x3c23be8b, 0x1db73050,
+    0xaba8609d, 0xe882bbc4, 0x2ef72467, 0x05eea5b7, 0xdda011ce, 0x865ab529, 0xda03cba9, 0xd0101368,
+    0x1872634f, 0x40896cc0, 0x041eed96, 0xc14a3e88, 0x8de5d362, 0x32c9ed97, 0xaa5fb279, 0x42d1179c,
+    0x91a80b4f, 0x0b75735c, 0xa30f8647, 0x29b901b1, 0x167c7832, 0x276c8319, 0x8fbb7c6f, 0x3c0e67fa,
+    0x819e35c0, 0x6b12e04b, 0xd0327c42, 0xd8294c3d, 0x691d4135, 0xec0588d2, 0xd118d972, 0xc66b99ff,
+    0xe8ec8b6d, 0x8db6f0b8, 0x1d550735, 0x7adad75f, 0x4a176796, 0x2279073e, 0x215b1081, 0xc1a61653,
+    0xa9a0cb1a, 0xcd743c04, 0x90bba90e, 0x8021ba4f, 0xf8d40281, 0xe480b1e0, 0x1937187f, 0xe7797e4b,
+    0x0e9b3c2c, 0x522994cb, 0x9f592305, 0xa66d32f8, 0x4c31fe65, 0xd9d8ccc0, 0xee5b9d39, 0xfe928025,
+    0x5ec07171, 0x447c262b, 0xf9f84077, 0x9ab5fb00, 0x176d2e5a, 0x9c9f3f57, 0x4bd39b67, 0xdad26f98,
+    0x2af216c7, 0x92e789d0, 0xd31c461d, 0xa430ab45, 0x98099d9e, 0x3e9d7a6f, 0xb5fe688f, 0xbeb813ec,
+    0x740e3240, 0x763b0853, 0x88551f7e, 0x1eb4223a, 0xdcdc7c2b, 0x3683d75c, 0x31f6a062, 0x92e4b7d2,
+    0x83cdccb7, 0x25f000e5, 0x5d09da12, 0x3f13dfc8, 0x780d912c, 0x0fe06d4d, 0x51c02fdc, 0x18bdf0bb,
+    0x9adb601e, 0x8e53c530, 0xb0a89923, 0x48d7adae, 0x3c93d01f, 0x4486ef58, 0x5bf63398, 0x15821972,
+    0x8a14b696, 0xbabc88bf, 0xe3869205, 0xed8ff91a, 0xe357d59b, 0x97ac5157, 0x9b2e6717, 0x25e6e85b,
+    0x7e1f9576, 0x8f92dcbb, 0xc4796eb9, 0xfe860c05, 0x4e729b00, 0x022ac831, 0x4c7fc865, 0xee982351,
+    0xa1bffdaa, 0x05e46045, 0xf41e7f84, 0x8f96903e, 0x9a9dcdce, 0xa2eefaa7, 0xb386e214, 0x6e4f9a19,
+    0xf29559f8, 0x071172db, 0x02c00e84, 0x0e8f6ff8, 0x8261924c, 0x85173fef, 0xe09d47d6, 0xe7d27553,
+    0xb980a04d, 0xec06421d, 0xfc2445fe, 0x229bb1c4, 0x898c40fa, 0x0f6602a9, 0xdc86f7d8, 0xd0cfb720,
+    0xe623397d, 0xff128610, 0x3d3e0360, 0x68e6f432, 0x7fb39b47, 0xc47de468, 0x67e16755, 0xb9d512c3,
+    0x125c2389, 0x85e287a9, 0x5df51245, 0xbe1e8225, 0x549573f8, 0xcbe01fca, 0x97bbac9a, 0xc3db0786,
+    0x43908f8e, 0x85251de9, 0xad86df04, 0x95580a33, 0xc98e0a0c, 0x9bf755e0, 0xe36845b2, 0xbfa9c8ec,
+    0x4da758b2, 0xcbaea533, 0x6ac09f29, 0x2291f38e, 0xc2f7bf4d, 0x349b6833, 0xb9e3c9b4, 0x085f8227,
+    0xf1be15dc, 0x8a89b512, 0x483eca39, 0x0fe17b5a, 0x47490340, 0x4ecd73f4, 0x3cd77df6, 0xba77cacf,
+    0x260a4f9d, 0x6eb923c4, 0x1947b309, 0xf825ed65, 0xce4c2e2e, 0x52fb9745, 0xcd060c03, 0x2ee1a651,
+    0xf857cad4, 0x5524a095, 0x105f48db, 0x570e9d53, 0x78115ae7, 0xf2455d10, 0xe3356efd, 0x1e68f1df,
+    0xf383e28e, 0xdb58545f, 0xeb36fde9, 0xc540ea1b, 0x07c75d5a, 0x4f987df0, 0xac08eadf, 0x507700ad,
+    0x3e21b24d, 0x3f589c75, 0x62fd44da, 0x7f5ad7c7, 0x155ed00f, 0xb9f9af0d, 0x49af9283, 0x3159e587,
+    0xa982d7b5, 0x5ae67c64, 0x07057259, 0x84385d92, 0xc96f4009, 0x0c069538, 0x071a8534, 0x9afe1eee,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000055213970774324510299478046898216203619608871777363092441300193790394368 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91b, 0x6ac8082d,
+    0x00000000,
+    0xb14f0e83, 0x6f89bc21, 0x4885a1aa, 0xfb4e79aa, 0x3a7b716b, 0xb1be9120, 0x820adea0, 0x530a9e92,
+    0x704fba49, 0x88ddeb1d, 0x89101fc3, 0x21b73ab3, 0xf432b15d, 0xc32740b6, 0xf1d7dfe5, 0x79e39276,
+    0x9c6e0a3d, 0xe9f87cec, 0x4b89d22a, 0x50cecc3f, 0xe640c822, 0x01ef5cae, 0x2f8f5fbd, 0xda027c86,
+    0x9b269fd2, 0x27d2232b, 0x2f503a16, 0xdcb62e83, 0xee04e2d1, 0x0c6bd54f, 0x2e7aaaa5, 0xb7273f23,
+    0x61fdf0cd, 0xdf59ddaa, 0x218767fd, 0x6d5e31a8, 0xd2f14e40, 0xb7c90c5f, 0x9022daf5, 0xa10d53e9,
+    0x20e3d4a4, 0x8e9bf64f, 0x6471af1a, 0x0bb1be6c, 0x49234c22, 0xc8476fad, 0xd69cf7b3, 0x0971b028,
+    0x68d461a0, 0xc292fdbe, 0xc3fe1cae, 0x6ed52044, 0x8aee9c8b, 0xdddfe3ad, 0x90e89dac, 0xc102e337,
+    0x12fc8387, 0x38e8ed13, 0x581e6f18, 0xff51ff6e, 0x1495709f, 0x35448808, 0x6d0fd671, 0x88cb5955,
+    0xa7baabd4, 0xa536296b, 0x88d5de69, 0xffc05946, 0xb79a1e92, 0xfb76250d, 0x84d4574c, 0x0dae1afd,
+    0x0907a459, 0x05c50a97, 0x796a8aea, 0xf8c61ecd, 0x43ab2daa, 0x864f1b25, 0x9517ece1, 0xf4605520,
+    0xc13351a3, 0x1130d422, 0x78509f18, 0x6f61ba73, 0x9efb1797, 0xadf07520, 0xc2cd7f92, 0xd1abb521,
+    0xc3eec09e, 0xfee004e9, 0x6e8caade, 0x6cc17095, 0x8b0e57bf, 0x7292d1c1, 0xad1aef20, 0x077e72cd,
+    0x030544d0, 0xe20b41d1, 0x631acc09, 0x42da1fd0, 0x1a0ef951, 0x8f740d5b, 0xcf5fc70c, 0x27095a03,
+    0xd369500f, 0x93bc3026, 0xcdefcfb4, 0x7043aa3d, 0x3f59b1e2, 0x5983dcce, 0xdd517779, 0xe4eadbfa,
+    0x069ed44c, 0x75628f2a, 0xc49edd40, 0x5c4261d7, 0xb5bb8f4d, 0x6b4538f0, 0x43dd37a5, 0x6b1c1e24,
+    0x95d91c0d, 0x15a6e3ba, 0x204ea8be, 0x266e2997, 0x020bf0f9, 0x7354834e, 0xbc9e7233, 0xb78ebd4a,
+    0x96f5184e, 0x1f0f2889, 0xbfbbb201, 0xf37e86cd, 0xe67ced9b, 0x300c6355, 0x3346de0e, 0x5c6fe150,
+    0xea5112b8, 0x6c88b4ee, 0xfc44d040, 0x0533ce15, 0x465d01e9, 0x478616c7, 0xab284fea, 0xb187eaf6,
+    0x8ab2314c, 0x0eae1b41, 0xa83a9611, 0x97848e67, 0x3f164b88, 0x343664e6, 0x61a79b62, 0xe60d921a,
+    0x4771bdf3, 0x2fe7e08e, 0x0602ddeb, 0x83f94bdb, 0x0f70980a, 0x6d8e2247, 0x733087ce, 0xb991ce56,
+    0x31cb8880, 0xbd920da3, 0x3f19aa90, 0xbe61170d, 0x9cc177f1, 0x6265ceef, 0x19e4601f, 0x212a18d6,
+    0xccc0c2ca, 0xfc37559f, 0xce862255, 0x8512e69d, 0x3a7051b8, 0xf34041eb, 0x8720ea49, 0x63f2fadb,
+    0xae344cd1, 0x8d7e2c30, 0x74508f90, 0x6fbfdd26, 0xbd84ab27, 0x3dbc5fb7, 0x0752c92e, 0xdc5b86f0,
+    0x7a931135, 0x09fb85c5, 0xfa5bf718, 0x49faa43a, 0xe50b0244, 0xd3a08bb5, 0x89d8d462, 0xdf86be3a,
+    0xf1a4f26f, 0x41df9dc8, 0x442b181c, 0xc9494b97, 0xbd1ad38a, 0x99251edb, 0x558f98f7, 0x02c906e6,
+    0x56823b48, 0xcd4c5117, 0x0124ccc4, 0x88876efe, 0x62b2840f, 0x09717f6f, 0xdad1c3dc, 0xc38a8eeb,
+    0x2006b57c, 0x144c7e9a, 0x6b07ca08, 0x7946c71a, 0xb72c4c82, 0x7eeb24a7, 0x8339f9a0, 0x57eabe6f,
+    0xa28abf4a, 0x3003f8a1, 0x9dfbfb04, 0xf8862b7a, 0x75f08e6c, 0xb72dfb6a, 0x2f5082e9, 0xb8d26e9b,
+    0xd5380741, 0x29f00586, 0x95425602, 0x1b3305d4, 0xc9e5d75f, 0xa8b21b88, 0xf5b48ae4, 0xf32b3b0a,
+    0x3ca27116, 0x665d686c, 0xf9e18e98, 0xd43edf6b, 0x7e7277ed, 0x70bfb539, 0x8d352c2f, 0x6f70e8c4,
+    0xc03ac13c, 0x397192f3, 0x86eedaa6, 0xa87e1636, 0x9290f7c3, 0x2ded314b, 0xecacb58a, 0x800ea2cf,
+    0xc23c74a2, 0x9e3c97d8, 0xc061eb57, 0x05f398e8, 0x7c892f80, 0x7b626c82, 0xa75d8141, 0xf9809625,
+    0xf321c083, 0x226a2cb5, 0x72d3dfa4, 0xa525eab5, 0xa2c36233, 0xb98619e4, 0x2440f3f7, 0x07dcccf3,
+    0xb76bbff2, 0x512bcab8, 0x92bc1ec2, 0x9528cfdc, 0x4608a583, 0x74e055f7, 0x46d8afb7, 0x32afc02b,
+    0x93f23c66, 0x3c65f0e3, 0xeb8758e5, 0xb32e26ee, 0xad8d2cf8, 0x1cc1b14d, 0x5f1a1ee5, 0x4ded9d34,
+    0x08f28ec6, 0x38241890, 0xd8febc7f, 0x3829e40e, 0x6fd1964e, 0x9e507809, 0xaac4b0a9, 0x07279152,
+    0xe0966d4d, 0x10ba8b22, 0x3254b0f7, 0xaac09db7, 0x90fa25c1, 0xb6ad48d4, 0x24411254, 0x1235b901,
+    0xb4ef1daa, 0xd2b1c2b3, 0xefdc6ef6, 0x22988c83, 0x81e0b085, 0x2918e79b, 0xb769aec1, 0x6f847b1c,
+    0x53064ca8, 0xc91856e6, 0x19e16e0c, 0x93b98a3e, 0x00051d84, 0x55732d38, 0x21db2b76, 0x0bcb7c16,
+    0x4b06c3dd, 0x883b59f2, 0x46cb220c, 0x6be26c1d, 0xd0a0f66d, 0xc8db723c, 0x07f089c6, 0x0f3b136b,
+    0x2995bb98, 0x5ecc7e8a, 0x710e576e, 0xe8d4c4a8, 0x5784d14a, 0x5ca45809, 0x5b981cf8, 0xc8717224,
+    0xa168e92d, 0xad5a4cfc, 0xf510cd5d, 0x2ddda347, 0xc745e118, 0x4f44f5a4, 0xf92a69b0, 0x224e05a2,
+    0xb2e4c6ca, 0x847cb68f, 0xc70a77fe, 0x35eec846, 0x21e03e9e, 0xa78f25d7, 0xa641442e, 0x84b4b4a7,
+    0x74e6cefb, 0x940ffc29, 0xf0137d6b, 0x94b614ed, 0xe47dc479, 0x348dc4d1, 0x7f4c7ae6, 0x1b92387b,
+    0x5bed89ed, 0x3241f200, 0x0b1dfd92, 0xcfba630b, 0x8457407a, 0x2858515c, 0x1dbd6a29, 0x2735bf77,
+    0xd3cd18d2, 0x1cf47e93, 0x1e4dfb47, 0x9be20185, 0x29e7a180, 0xb6c015aa, 0x7e893678, 0xe4b3a9f5,
+    0xead18d1f, 0x6dec55a7, 0x38303ca7, 0x41e65c07, 0x3dafad2f, 0xfd4ffefd, 0x2c021a82, 0x8ddff756,
+    0x090c283c, 0xeac6cbd1, 0x3bf85ec6, 0x0a40c025, 0x605faa5f, 0x277d8a80, 0x018c2628, 0xd765db32,
+    0x27a58d79, 0xa6625221, 0x72bb3a69, 0xc2a6b448, 0x0fd54884, 0xef39064d, 0xa5957753, 0x212900ec,
+    0x6f9abe53, 0x9c306257, 0x41ccc992, 0x52c32b31, 0x30f05f3d, 0x21de0815, 0x2e2e6f6f, 0x06e55a9a,
+    0xb9f5d345, 0x0fce48d1, 0xf9bf94d1, 0xb5650d51, 0xa9d94f4e, 0xd2f6d68f, 0x76310c28, 0x9270c242,
+    0x52b89d98, 0x76449865, 0x6d37e3b2, 0xebe50f5c, 0x8413ff4f, 0x951c49ad, 0x47c96773, 0xc6b1a0d3,
+    0xa25940bf, 0xd148e1cb, 0xf6b46d45, 0xc74b7633, 0x9e8a46bc, 0x3f4597ae, 0x9282618f, 0xaa8b1847,
+    0xe67dce8c, 0x256b52e2, 0xa469c902, 0x702f1bfc, 0x8c0c3461, 0xf726ada2, 0xb880e10f, 0x6e5998ad,
+    0xc74bee7b, 0xae579919, 0x1f08038c, 0x48918da7, 0x4c7ba455, 0x38e0f626, 0xcc5a5468, 0x3267dc0f,
+    0x0a8f3cd6, 0x0813329f, 0x3df075e7, 0x21f3bf13, 0xeea33929, 0x338c1e93, 0xac99556f, 0x2c9c1d9a,
+    0x2b362722, 0xa6ac6dcf, 0x88c113f2, 0x19e8fbd2, 0x543ec474, 0x3d586861, 0xd1f9ea88, 0x64253854,
+    0xe8e9cdc0, 0x58eee1dc, 0xe35600e6, 0xb6df4d48, 0xc09ba299, 0x69a93a47, 0x748dd65c, 0x31c2ebaa,
+    0x51a82815, 0x1ff4aac6, 0xd8995728, 0xd69a96ee, 0x2b76153e, 0x70fb8807, 0x331bf03f, 0x8f666741,
+    0x474e5295, 0x8da1a066, 0x7aa7d0ce, 0x30951cc6, 0x5be01ce6, 0x769e7daa, 0x5a9453f0, 0x889a2e3e,
+    0xb1ad9bd5, 0x13ac4dad, 0x14bd5702, 0x9ceed772, 0xb86dcce3, 0x53701b4a, 0xa02abc09, 0x34c0f012,
+    0xc45b09ef, 0x7700bcbb, 0xfc6b1ef5, 0x64112f07, 0xc55402e4, 0xd0f15807, 0x74bb4ce3, 0x2bfe102a,
+    0x0b16e2c8, 0xcd1f9325, 0x9fc0c72a, 0x07733723, 0x7463638f, 0x2abb1822, 0xfd26f94d, 0xe98744c2,
+    0xbb33102a, 0xc1dc0cf0, 0x1ac19acd, 0xe79f6764, 0xf64a856a, 0x88a5d161, 0x678ae8cb, 0x34caaa17,
+    0x1ee5fdeb, 0x8660e04f, 0x4d186409, 0x9d8cade1, 0x9b755318, 0x51ef592e, 0x9f130e79, 0x62afe2cd,
+    0x0900fb85, 0xef865e1e, 0xb8645417, 0xa3449484, 0x543f2454, 0xf81f306c, 0x7061dfdb, 0x1bec0b87,
+    0xcdb4a126, 0xbc632464, 0xe9437802, 0xd7c5252c, 0x530ff90e, 0x72fe5704, 0x609b27ca, 0x51965656,
+    0xe0e4e4f6, 0xc2390079, 0x453e874f, 0x08595e2b, 0x75744dac, 0x7eb96214, 0x0f5ed926, 0x1cf42ffa,
+    0x6b551784, 0x5250479a, 0x12b730cc, 0xde4f25d3, 0xf3a1bc48, 0x160ee147, 0xa3bf243d, 0x11e09ae7,
+    0x2de826e2, 0x69917a1e, 0x5490dc2b, 0x3fc387d0, 0x38195812, 0x3a69b222, 0x78d8e4ff, 0xb5b405c4,
+    0xf6947e6b, 0x3fb7f352, 0x52959e1d, 0xbcc244af, 0xc6cae776, 0xae7562db, 0xb098dd10, 0x742b14b8,
+    0xc0cd3e07, 0x2015b9f3, 0xdc5cee45, 0xa13461f5, 0x26edd85f, 0xdf89fd31, 0xb5bfc507, 0x1e52047c,
+    0x87b61389, 0x039131e8, 0x54375950, 0x67ebe991, 0x49c88ca9, 0xf4e9b108, 0x7a13a32f, 0x156a08de,
+    0x163f8e18, 0x92d608a0, 0xcc41c79a, 0xde7ca137, 0xf48c7bd3, 0x0f607237, 0xdd713857, 0x6dd05be3,
+    0x4681e46c, 0x8ae6e610, 0xd0509293, 0xc12654ce, 0x4fb05fc9, 0xd8b56472, 0x8e6d5477, 0x105e375c,
+    0xc6e588c7, 0xc76c0615, 0xbab76d7e, 0x73c8995e, 0x405eefb6, 0x290a5324, 0x5288253e, 0xeb558a47,
+    0x4ce37bd1, 0x3d3db41e, 0x54da91eb, 0xb104ee8d, 0xcd5ea053, 0x7b800e0f, 0xfd5246df, 0xacddbf69,
+    0x58b4f927, 0x10f6ec22, 0x506f9fca, 0x1a5e1e9d, 0x62927c7e, 0x4aa3bd8e, 0x75ed9dc2, 0x95fd3c0e,
+    0xa269f0d2, 0xa5c0b2bf, 0x4f5fd0d5, 0x3505bc30, 0xe531d9fd, 0xd1d82074, 0x17fed1f8, 0xef07d063,
+    0xf7e5b88d, 0xf399914c, 0xb4092a57, 0x1bb9dd64, 0xcd52a101, 0xd8db1a38, 0x584ab1dc, 0xa269fcfb,
+    0xd0441f0e, 0x583c1d1e, 0x09a5f22f, 0xaa88c775, 0x0f500d3a, 0x2b9fb451, 0xb6352cdd, 0x3aad6889,
+    0x5744fe0d, 0xaa51f262, 0xfba207a6, 0x975e1b26, 0x17bc6621, 0x958bd7f6, 0x3d31aa13, 0x07101256,
+    0xf9f53464, 0x23731eb7, 0xcae93e6e, 0x3e2e06bc, 0x978b2cba, 0x63ac0489, 0xc93e5310, 0xaa75697a,
+    0x50f066c0, 0x5f5d73e0, 0xa4982a6d, 0x3a9b0fae, 0xfd15dd3b, 0x2696c635, 0xfc73f911, 0x6f1b6c43,
+    0xefb2ab62, 0x0d5bbf81, 0x262ac19b, 0x55633547, 0xc7545826, 0x0bbce0c1, 0x7c37dd25, 0xf9e6a81d,
+    0x70496430, 0xcf8334aa, 0x899914cd, 0x54c53ac3, 0x26c5a278, 0x6a0b7bc2, 0x0208d25c, 0x395c146c,
+    0x439fb622, 0x17cf7fd0, 0x96a66e1c, 0x56497c59, 0x8a796916, 0xf141a607, 0xdd86b22f, 0x211c828a,
+    0x1bf9dcbb, 0x301aa573, 0xe5a0c140, 0xe9e41cc6, 0x2095a13c, 0x74cbe13d, 0xb67d61bb, 0xadb23aa1,
+    0x9ba95a01, 0xcb67e539, 0x2fcbf6d2, 0x6326a6c3, 0x9070ce4e, 0x391957ab, 0x96fccd1d, 0xe9b39adb,
+    0x7c754600, 0xb30039cc, 0x72ee2bd1, 0x1cfc7680, 0xaadcb471, 0x627e8ade, 0xbb7cfa9f, 0xdb39dad9,
+    0xcab4daf8, 0x28942f1e, 0xd139de0b, 0x98a383a0, 0xe1734ffa, 0x840f6d8b, 0x26bfe509, 0x0c44d955,
+    0x7b63d15b, 0x0933a132, 0x61cf2e62, 0xdd14bf2d, 0xfdb6364e, 0x640e699c, 0x6e3e5d9b, 0x2c006352,
+    0xdac2caeb, 0x8576c401, 0x72c8eeb6, 0x4b4634c7, 0xa2e44e19, 0x4f85ff98, 0x60263880, 0x3ece9802,
+    0x45f97601, 0x3d27b331, 0x44c0d7ec, 0xc5e4c979, 0x5928582f, 0xf520e51b, 0xc7c5d66d, 0x72062a4e,
+    0x6c57fd8b, 0x16cb157a, 0xc691ce2a, 0xfb20b767, 0xc7cf0b41, 0xb2998e22, 0x8aae1f5c, 0x3eb43a02,
+    0x792ca330, 0x47ee37fe, 0x38f827b8, 0xe4b02710, 0x37febf0d, 0x1c2cb57a, 0x286e48a8, 0xa0a57d3d,
+    0x638e4cf6, 0x7b1920f9, 0xa509f2ed, 0xc1e31bb2, 0x08e2f9e7, 0xdc46247e, 0x4a8de8d3, 0x2544443e,
+    0x4d31e031, 0xe7c30adb, 0x01bb777f, 0x8cdd77e7, 0x8e8ba9fa, 0x1b36e2c2, 0x52daa060, 0x0c461518,
+    0xef803f0a, 0xd2f95af9, 0x371174c8, 0x7a12b7fd, 0x5af42059, 0x543efb8d, 0xfc1cedd7, 0xe8f28254,
+    0xf1387ebc, 0xc0ffff97, 0x07968167, 0x6e15075c, 0xa0a1c692, 0x3f7daacc, 0x9f4125a6, 0x77a41c1b,
+    0x152d7dec, 0x566ceede, 0x2b0562dc, 0x1ed2e2da, 0xbe6331af, 0xaa37fcd9, 0x1c45bdc4, 0xd6bbe375,
+    0x1abda0d6, 0x7206c372, 0xa185ef1f, 0xc1df61be, 0xd44de639, 0x62a8a4f0, 0x78dd7a43, 0x897e0e1e,
+    0x0c4d0569, 0x88b8ee56, 0xed857165, 0xc67606fb, 0x6ac14f99, 0x3c1127f9, 0x3b532414, 0x288f9e6b,
+    0xe482cee0, 0xd5b9f398, 0x223eed4c, 0x79e430b2, 0x6f871a17, 0x88aadff5, 0x07fdb8e3, 0xb924e1e6,
+    0x75789636, 0x0111b65c, 0x0f0d5dd2, 0xd129f73c, 0xcee18094, 0x334f2115, 0xd7343503, 0x549e5235,
+    0x28cb3993, 0x3ba434c0, 0x8a4ac2ec, 0x2ba147e0, 0x20217acb, 0x6f778f41, 0x220a973e, 0x14100628,
+    0x5a114d3d, 0xd2557bf9, 0x0d9b92a0, 0x5e06bcf4, 0xfa4df043, 0x499ddab5, 0xda6f16d2, 0x0562fa9b,
+    0xd50abe0a, 0x5cff41d9, 0xd25821f1, 0x67ef68df, 0x007f4978, 0xa517f9e1, 0xa8470a2c, 0xd884324c,
+    0x5145f8e2, 0x3698e572, 0x60342b1a, 0xf01cc1e9, 0x348c15ec, 0xaf8615ec, 0xec856763, 0xd55ba550,
+    0xebba43bd, 0x737427df, 0x6c03924f, 0x5789f44f, 0xf11a93a8, 0xd4f7d4bb, 0xcd2d03c4, 0xc79315f4,
+    0x2f140fe0, 0x5a4475ad, 0x5421bb67, 0x55920cc7, 0xd404ce14, 0xbc56b9fb, 0xe253a194, 0x89aed998,
+    0xef5c796a, 0x05c507d7, 0x2e653247, 0x04b39083, 0xfc4543b1, 0xa78b45d3, 0x4e9454a8, 0x4203cb7f,
+    0x3eb8627c, 0x71e60cdf, 0xa9f1a3f9, 0xb7a76e8e, 0xc090d737, 0x1f0f1e68, 0x9fa8326c, 0x603c747d,
+    0x52fe6249, 0xba726ca4, 0x9087b1cc, 0x7bf76b15, 0xff672116, 0x6e1fe590, 0x473aeeb2, 0x474e371a,
+    0xd9044b68, 0x7b0cd0c1, 0x044b9fe9, 0x3f1eb3ce, 0x959c1daf, 0x9e70b57c, 0x2efda574, 0xe36d410e,
+    0xdd8675e8, 0x137c9b27, 0xb6061f0b, 0x35a62014, 0xfb4a4960, 0xee0c0a85, 0x5f231728, 0xdcb98a4b,
+    0xe32ba5fa, 0xc26a995f, 0x70714a79, 0x3c1df6fd, 0x2ee348c3, 0x8f09eb29, 0x50bc63ae, 0x09641413,
+    0x9038f68c, 0x7631e2b2, 0xc9fa7ed3, 0xbc61d54b, 0x1d6c971e, 0x2eafcc29, 0x516025bc, 0x5ac7a95e,
+    0xc45074fc, 0x9626ba3c, 0x34fa773e, 0xdcf49960, 0xa53d06cb, 0xe475f28f, 0x186e6a30, 0x418c7443,
+    0xbeba723c, 0x7659a9bf, 0x7674b9ab, 0x7d02954c, 0x1e2d3305, 0xced1ee2b, 0xe5d1aee7, 0xe7eb91b8,
+    0x2d96a453, 0x4682ec87, 0x34e5e5f9, 0x66daf85e, 0x42e973db, 0x6361bf7f, 0x69e1d1e3, 0x1618381a,
+    0x407b279d, 0x8fdb079d, 0xc6831f76, 0xad2ccff0, 0xabee1d10, 0x96bd623a, 0x481c1e6d, 0x1a6268c9,
+    0xd90fa372, 0x6dbdc9e8, 0xd3ccd344, 0x0e4f267f, 0x657f6b62, 0x8cc95d86, 0x394e06aa, 0x600b9781,
+    0x66110142, 0xf49dbe8c, 0x04d44881, 0xb09940c6, 0xe74df278, 0x08bd3cf2, 0xa4da7bdd, 0xef249653,
+    0x3002e6b5, 0x8f5cc4bb, 0x055edba4, 0x43d71c8a, 0x9c5e4817, 0x50acd7d8, 0xe416effb, 0x157547ab,
+    0x3b2bdec6, 0x2875bf83, 0x2ed0a56d, 0x574d1797, 0xcdd3b490, 0x4ca78c83, 0x6148970b, 0xdc7fb83e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000027606985387162255149739023449108101809804435888681546220650096895197184 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748d, 0xb5640416,
+    0x00000000,
+    0x96a67d6c, 0x384bf15d, 0xc9c82b74, 0xf3ebf1d1, 0x8773a97b, 0x3a130dd6, 0x5d1ca51b, 0x4a059087,
+    0xb78739fe, 0xefe7ea17, 0x73884711, 0xc1d50417, 0x6ec26cb3, 0x931f8211, 0xa70b88bd, 0x79cb0f97,
+    0x77e1a9fa, 0x7a4185c8, 0xb23c03d9, 0x5f14e267, 0x13842b2f, 0x1088a0ba, 0xbd24c4e6, 0x74d77320,
+    0x14e6919e, 0x96a7027d, 0x776ab5f6, 0xa82180f1, 0xa119af79, 0x62fa8848, 0x221e8bc0, 0x296a2ab2,
+    0x0fe9a0a6, 0x7b93db31, 0x2e39f5ee, 0xd4503d5a, 0x4698a94f, 0x24adfcf7, 0x215f0114, 0x30fe72f2,
+    0xb2a98981, 0x8fa6e6c0, 0xa8bec696, 0xb9c85cc8, 0xcb0a8a34, 0x5e20dacc, 0x096e93d0, 0x29358c1e,
+    0x981cd197, 0x3d57a16a, 0x1c0e0461, 0x733595b9, 0x08376069, 0x5c76154e, 0x0c182e73, 0x9ad53693,
+    0x2ffbd6d6, 0x0391503c, 0xdf94cb99, 0x7ea530b7, 0x680e48ca, 0xdeb5f505, 0x6cb7cfdc, 0x8a730524,
+    0xa881a6c3, 0x073107aa, 0xcba6be34, 0x8a500f47, 0xa9f9ad54, 0x8a7920a0, 0x50e46e4e, 0xde2622d1,
+    0x126d63b6, 0xb7490fb5, 0xdae08157, 0x512a76bc, 0x24ba0c12, 0xef36c85a, 0x361abcb3, 0xfaedc68a,
+    0x9b0431e7, 0xb5f61873, 0xc443491a, 0x017bd622, 0x2e0b2198, 0xb44c3ab0, 0x61cee96e, 0xd884b53c,
+    0xb681bcd6, 0x95a9d6ba, 0xf159ffb5, 0xbd39bd43, 0xc01a0ddb, 0x7b59a1d2, 0xc5700436, 0xd58430ae,
+    0xd487ffee, 0x096e2abd, 0xb8f493dd, 0xe63297bc, 0x6c584e22, 0x0255e702, 0x05828ea6, 0x9a24f190,
+    0xaa762fae, 0x79e827ca, 0x236bcb7a, 0x15d7c733, 0x7222e23d, 0x889fa5f6, 0x65595d09, 0xdcc527b5,
+    0x422e63ec, 0x24201ea1, 0xd61e0f86, 0xba875cf5, 0xb793f984, 0x597eda7c, 0xfcaadaa2, 0x6da8b69c,
+    0x66ad0dd8, 0x17a6ee71, 0x29c81d42, 0xb9b494e2, 0x5288cfe9, 0x8c24a19c, 0xa762019d, 0x3b760b97,
+    0x0806da57, 0x8015fc60, 0xb9686f65, 0x8b2dabed, 0x277d7758, 0xf9c1d77d, 0xd29eeafc, 0x76b9c728,
+    0xcafed94e, 0x427c8713, 0x1b67c22b, 0x002ed687, 0x0c4425c1, 0x30e1602f, 0xc208e8c3, 0x0f77f655,
+    0x5d987a1c, 0x100385a4, 0x76c95adf, 0x0209f14d, 0xedc248c8, 0x51bad6ad, 0x568f95bc, 0xa09de116,
+    0x6af2ff25, 0xac05d7ff, 0x35073f87, 0x8856521d, 0x01560a6f, 0xe75dc05d, 0x2c5feb05, 0x6509b4fb,
+    0x09785e6f, 0x63161281, 0x08653456, 0xb5760752, 0x026f12d4, 0x97c81346, 0x486832a4, 0x49075d34,
+    0x383165ef, 0x5884b102, 0xa89756d7, 0x4f117142, 0xf2a77c07, 0xaeda90b4, 0x1c88ee06, 0x086755df,
+    0x21fda52c, 0xab1888f8, 0x5fa1f0e5, 0xc7cbee7b, 0x462ee778, 0x3b7b71a5, 0x597d54e6, 0x8a71ea6f,
+    0x550103e5, 0x07c3208e, 0x6a889787, 0xc9f3dd9a, 0xf0907746, 0x073e4f8b, 0x6837a2d8, 0xd431f61d,
+    0x12aae089, 0xf9387de9, 0xd09c84a2, 0x303a19d8, 0xf3582df9, 0x16d4f57c, 0x71aa33e7, 0x3f8f030e,
+    0xc4a03180, 0x1e7f8a66, 0x53a9c2e8, 0x3d06c931, 0x691d2870, 0x5fea2b3e, 0x3111b54a, 0x21177fb4,
+    0x61e2e47a, 0x897cab85, 0x2760545b, 0x04ae5c4f, 0x073bb0b6, 0x8ba0b399, 0x6cb46569, 0x272f496e,
+    0xd4a3175f, 0xd8c849b5, 0x4afda0b1, 0x42967183, 0x2e595794, 0x2517753b, 0xe67b1ab4, 0x17cf944d,
+    0x714f3a2b, 0x2277ed64, 0x04260a79, 0xe085ba17, 0x4d29a640, 0xf41561de, 0xf4195576, 0x3e451007,
+    0xf70bfd7c, 0x690d4fd5, 0xa9399665, 0xe2d9cac5, 0x6f59e0de, 0xe77261f5, 0x58de87f2, 0x27cfa95c,
+    0xcbc51343, 0xbe7a327e, 0xb5b58f77, 0x8473fea4, 0xe1442194, 0x86b40d0e, 0x898c8456, 0x630b2127,
+    0xa4bad5f0, 0x3169ab0a, 0xbc3a1a86, 0xee59955c, 0x118f43f5, 0x67dc41d0, 0x772290ab, 0x062a881c,
+    0x676c933f, 0xef51a6a6, 0x11ab8eac, 0x4f9266a4, 0x78b66d8a, 0x14ec73ef, 0x9e1d6355, 0xc578b960,
+    0x57547463, 0xa4ee37d8, 0x82ab5f2b, 0x87537db0, 0x12099728, 0x422497e7, 0xd14489dc, 0xacb8ac43,
+    0x40f3697c, 0x2c8554ff, 0xe2955a24, 0xb90c3fe3, 0xb09482cb, 0xc964c259, 0x7b7a2f5e, 0x89db4d78,
+    0xf368d7bd, 0xbbfc8d4a, 0xbd927ce6, 0xd59a0b82, 0x15deb716, 0x40dc781c, 0x7fe8b645, 0x809cb7f4,
+    0x0d7504b5, 0xa1a1560e, 0xcc63562f, 0x7f133579, 0xa6d87f52, 0x4f260468, 0x3c3f2444, 0xa82f1550,
+    0x891f8285, 0x051a8132, 0xd1a49ab1, 0x6bc20419, 0x22d23269, 0x8d133a78, 0xd9bb4dc0, 0x729e7811,
+    0x35d9c5c6, 0xb96912b2, 0x09f7ffe2, 0xbf37af97, 0x20c76978, 0xb266ee8f, 0xf84207d5, 0xc5c5fbf4,
+    0x4dbecc37, 0x05dad501, 0xb32a4a27, 0xffce0dfc, 0x8e42ccb4, 0xeb52ce44, 0x68295be0, 0x22dd67c5,
+    0xd513cf74, 0x955dd987, 0x4d40cd05, 0xb3f7fbb5, 0x2173504a, 0xec93b21e, 0xd99ec0f5, 0xe7282be8,
+    0x609696f0, 0xade2dedf, 0xab216764, 0x17e15305, 0x7e38d92e, 0x47020fc2, 0x06782713, 0x34db0687,
+    0x9d5ba991, 0x4f95e37f, 0x55359b3f, 0x8d5d7f2b, 0xa8136513, 0xe53bc74f, 0x1904eca4, 0x80837f4e,
+    0x55ef4564, 0x3df2be32, 0x946b1ebd, 0x902a2ead, 0x0617401c, 0xa8d26863, 0xc6ad7048, 0x4665bcce,
+    0xc47be956, 0xc21de9a7, 0x3b479837, 0x8445c89d, 0xff18e0ca, 0x297143b3, 0xb0c5c3b6, 0x6da6b7a1,
+    0x714c6a7c, 0x71f96924, 0x0145929e, 0x80755a24, 0xc1a7c28f, 0x1b7de2d4, 0xf0a9537d, 0x1e4fa7b7,
+    0x74d345b6, 0x154e34ba, 0xc3d2f83d, 0x4ef367ce, 0x3213e9d1, 0x3d92ef91, 0x7f9e8549, 0xeffcd86e,
+    0xa043ee2b, 0x6e67293b, 0xa3054d2d, 0x585f6084, 0xa4863298, 0x50fdb2c3, 0x91e4c632, 0xa1545f85,
+    0xc47f955e, 0x5b07dd28, 0xfd27e023, 0xa639353e, 0xe949167a, 0x577cd7af, 0x896cc7ea, 0x1c653ce9,
+    0xc94c75ce, 0x61269889, 0xd4e00155, 0x7808cfa3, 0x4f9c7b58, 0xa60748d4, 0x77872e1c, 0x60a9548a,
+    0x47ec9499, 0x9bd98516, 0xd3b67cbd, 0xf776e8cd, 0xe6689c40, 0x1d3a7523, 0xa5487525, 0xd654616d,
+    0xafc5aaf1, 0xa1475da0, 0xff878c1d, 0xa3aa5642, 0xb1c0ab20, 0xd4e234ff, 0xef6cd822, 0x94f63fdb,
+    0xba729fc9, 0x286a25de, 0x1717ce9f, 0x496bf19b, 0x23e723cb, 0x56e2b838, 0x0e933898, 0x8311959e,
+    0xb2451982, 0x9f43a1bb, 0x55fcd26c, 0x74a9e938, 0x72f54eb0, 0xcc3c5e00, 0x5b504b0a, 0x69a5341e,
+    0x4113b4e2, 0xbbc778a0, 0x67e6cca9, 0x5da3254d, 0x4ad3e418, 0x67041f83, 0x0e7a1d66, 0x7ba4a449,
+    0xfe443dbe, 0x20dd6571, 0xb6a65832, 0x246b8d02, 0xecbc440c, 0x3b125486, 0xd04cecc0, 0xfde92304,
+    0x06984927, 0x29004514, 0x1d50d228, 0xe8389de8, 0x1cf04428, 0x089a804b, 0x6e9ecc88, 0xdebb2a46,
+    0x34a75a24, 0x17931cce, 0xc42c07ff, 0x1f14c9bf, 0x42209b6d, 0x1ddcb580, 0x9896e938, 0x72ccde8c,
+    0xe7f582b1, 0x1caf93f5, 0xc2201f4f, 0x5b941db9, 0xa44702c4, 0x363ac95e, 0x0dcb3213, 0x675b7d8d,
+    0x18a21dc9, 0xedee4484, 0x59f4f018, 0x6be56b7d, 0x0187054e, 0x078db906, 0x464cb1a4, 0xfc666bd5,
+    0x6cd343e1, 0x8799eb55, 0x4c79e4be, 0xec6d8989, 0xa1ddb96b, 0xccb558df, 0x9e480322, 0x22ab7aed,
+    0xb5d13b93, 0x8d6cdcdd, 0x7661e6be, 0xe394a4f4, 0xfe803613, 0x731fc907, 0x2a1bbf55, 0x65e1a2bb,
+    0x02c69a39, 0xcb85591b, 0xa7510a06, 0x3b64a889, 0xeeaade19, 0x5a17b3c7, 0xcd69fdf3, 0xca4f12bd,
+    0xc7ee88dd, 0xaaded88e, 0x898fc8ce, 0x8cc1efbd, 0x449f3630, 0xdfa5dd61, 0xd2c2f674, 0x5bb02d5a,
+    0xec7d7091, 0xa00bac5b, 0xa8b70a1a, 0xf59e06c2, 0xbe1472b0, 0xfb82b201, 0x65752189, 0x6f7bc810,
+    0xe03cb501, 0x86e89c14, 0x4778f6c3, 0xc24fc088, 0xfcc52275, 0x98ed2906, 0x09db0089, 0xe14e205d,
+    0xe3d1422c, 0xa01b9bc3, 0x1f90377c, 0x8c3ecdf9, 0x83ee6fb1, 0x4764c26d, 0x3205415d, 0xcc7b9801,
+    0xb951781a, 0xd7d797df, 0x554ad425, 0x0e43def0, 0xe3e7221b, 0x7a91bd35, 0x35b0aefa, 0xd949b7fb,
+    0x43901299, 0x9f3b229b, 0x94dfe3ca, 0x45018ced, 0xf23ef716, 0x75ea7665, 0x707057cc, 0x21ffe4ea,
+    0x61142ef8, 0xc774e057, 0x03df2e10, 0x5f212d9d, 0xd54e79ab, 0x42f06f87, 0xc29951e7, 0x9d5a176f,
+    0x08c68524, 0x5710dfb7, 0xcb4ce253, 0xdbfbe299, 0xc0d3e358, 0xb2b478e4, 0x834d8579, 0x757e0d34,
+    0xc1745e03, 0xaa0614b2, 0xf09baa75, 0x91c04908, 0x00f2f890, 0x1ca39ad7, 0x756790e4, 0xc24397d5,
+    0x91c943cb, 0x44e47bdb, 0xb045ddfa, 0x67013220, 0xcb20150e, 0xf1bf55e8, 0x9bc0783b, 0x615a3637,
+    0x786cf826, 0x5b7ee02f, 0xa3101195, 0x1d800cca, 0x989a1fe8, 0x21732f8c, 0x7df80c0f, 0xe7e7eb46,
+    0xf0c19e2e, 0xd78c0be0, 0xe681dbee, 0xacaecfab, 0x3b9d6223, 0x0252d0d2, 0xc8e55cd5, 0x86e3b226,
+    0xcc68088f, 0x165d7150, 0x0cbbb009, 0xc113f80d, 0x781d8c3c, 0xd1bd64b6, 0x7992c9d2, 0xc848e130,
+    0x0e6cf8b6, 0x2e1e9b6a, 0x69a2f4c8, 0xc83b563d, 0xfc244278, 0x44f0c28f, 0x8e0c6eeb, 0x48399fd8,
+    0xadc8d0e5, 0x742d5378, 0x8537e2e1, 0xd81a90c9, 0x2370309a, 0x436f1919, 0x6b30410c, 0x42997aa1,
+    0x133f20e4, 0xfec7b70f, 0x9865a5ca, 0x3617f1bd, 0x2f6f4b6f, 0xc167a4b5, 0xe2d5a44c, 0xa8b23b6e,
+    0x386a10d2, 0x518bf128, 0xaf88f4a5, 0xf75cbf2c, 0xd07e3422, 0x2d101518, 0x2295f7df, 0xf4ab2986,
+    0xad5eaf46, 0x2f256650, 0xc6e99f88, 0x7a3c80d5, 0xafb4fcde, 0xc6a2c1aa, 0x8afe11a6, 0x1081573c,
+    0x43acde57, 0xf5f7761d, 0x00dbf242, 0xfd309c3c, 0xe1376658, 0xa704d5cd, 0x2f329795, 0x8f9a38ad,
+    0x05decf98, 0x16ab4785, 0xa337376c, 0x29cd880d, 0x50e0b08f, 0x4823fe28, 0x4c0b6cbe, 0x676b4315,
+    0x28f72490, 0xd03a49f5, 0x4a971c8b, 0x57ae235b, 0x0c6a6430, 0xacfe75ff, 0x96e7212b, 0x71c5609a,
+    0x8ff9ea55, 0xec77ddb6, 0x926bcc0b, 0x544b4597, 0x53162904, 0xd74299ae, 0x51bcf39d, 0x17d0c4ea,
+    0x49527095, 0xf91fab65, 0x93ccaeb1, 0x64cf0d1b, 0x959b62e1, 0x04279760, 0x03771c9c, 0x961aa1fb,
+    0xdc09eedc, 0xff67613c, 0xafad0019, 0x78598611, 0xd8b42185, 0x0cdeeae2, 0xbe6a1420, 0xc5121898,
+    0x26381286, 0xcce4f012, 0x7bd1f67c, 0xcaafbf9e, 0x8e7f1996, 0xcebd50bd, 0xf30b98d1, 0x51fe0289,
+    0x8bf54896, 0xa149e3a2, 0x1b4a06ff, 0x53c101ef, 0x23607551, 0x07a7893b, 0x6a0e8c7f, 0x293c664e,
+    0x1297fc8f, 0xfbd514d2, 0x019ae5c3, 0xb906469a, 0x0b448c8c, 0x04bdd634, 0xbe8bd280, 0x59320828,
+    0x36eb5105, 0x3a113315, 0x71f4f9cd, 0xb2222975, 0x9c7bc647, 0x472e6fb3, 0x614f8617, 0xb406450e,
+    0x765ccc19, 0x5b976aca, 0xe53ad42b, 0x69fdfa66, 0x1e8f5ab0, 0x9401a6f9, 0xc5363bd1, 0xc7c01419,
+    0x3bb6cc43, 0xbf470603, 0x85ab3e3d, 0x79f990c6, 0x6b92b245, 0xb45f5a73, 0x601f496f, 0x60344b3e,
+    0xd8952d26, 0x9377a27c, 0xda9cc3e5, 0x6a3e6825, 0x1fd25bea, 0x5c3a989a, 0xc0fefb6f, 0xa9e69fbf,
+    0xd341ceae, 0x733c668c, 0xcdb0cb48, 0xbbf12b44, 0x6388e8dc, 0xdd3509f2, 0x366d4475, 0x6daa5ffe,
+    0xeb1dfe05, 0xc6e130af, 0x5caf3b79, 0x75cde130, 0xc56d9468, 0xb604561b, 0xc3f7d6a7, 0x69b4de1c,
+    0x03e978b2, 0x6e2dd254, 0xece27b5b, 0xd806acd9, 0xd185e1c0, 0x4ace3198, 0x30f5b665, 0x47a3a025,
+    0x855b1ec4, 0x0414628d, 0x2bc1d075, 0x88229f1c, 0x30baa979, 0x3839ee09, 0x4c0ccabb, 0xa91e5630,
+    0x85241c85, 0xe9ab9e1a, 0x7ca4fc45, 0xaa2d6718, 0x226cfa3f, 0x2d90a24a, 0x7011931d, 0xd6e5aec9,
+    0x707c93a3, 0x01737e32, 0xc8c4cc1e, 0x8d7da779, 0xe8c9b47a, 0x84c73633, 0x1ceeca58, 0x055fa3a9,
+    0xcc89f514, 0x2ad5cd75, 0x1d70ca79, 0x4b280db7, 0xd7997ed4, 0xa901d8aa, 0x4bb0cfb1, 0xae3015f6,
+    0xef7bfed9, 0xed848379, 0xfc9069d6, 0x1e1deb03, 0x366ffdfd, 0x6ab7d209, 0x913bc353, 0x42e4bc02,
+    0x913df7ef, 0x27663d9c, 0x77e8e697, 0x5b3fc5a4, 0x6c6b39c7, 0x4eb32105, 0x74bebd2a, 0x975fc2dc,
+    0xfb2de70a, 0xa98e351f, 0x1f20e024, 0xc3700bd9, 0x89fa8c35, 0x6e9f7968, 0xad27de4d, 0xf287e4ca,
+    0x12f4b578, 0x25e60320, 0x87903f72, 0x4eced793, 0x89f63005, 0x60fbb7f3, 0x0b9eaed2, 0xf22cc8b3,
+    0xb2a2aeda, 0x9016baa4, 0x19a96814, 0x5ed5b06d, 0xd3e873f7, 0x1e794858, 0x1ed6791c, 0x030e11c7,
+    0x4fdc3f24, 0x0650ae39, 0x591a51e2, 0x6e84cb0b, 0x6e1f7bcb, 0x9cd5d3c3, 0xc0c066ef, 0x41029fe5,
+    0x4a1fd062, 0x5063bfa1, 0x128b3513, 0xa7694365, 0xc9ca8586, 0x5b645afa, 0x93bf5bfc, 0x5ca824fd,
+    0xf5b7f12f, 0x6db2976e, 0x1905b0ac, 0x75e30447, 0xc0a506ff, 0xac12c14c, 0x94522061, 0x1b8b4240,
+    0xe5dfcf87, 0x7a291b4c, 0xbb446c4d, 0x6af32401, 0x01d2260d, 0x9dcf3d8e, 0x6ef0a58c, 0x73288e2f,
+    0xf8f0210e, 0xbb5a9c4e, 0x4a3e0cb7, 0x00fa3bf0, 0x65abdc79, 0x5119c90c, 0x7ba26960, 0x190e8df8,
+    0x4651f6fb, 0xd893e693, 0x600b73e6, 0x8d0b734c, 0x838edfbc, 0x9b101cd3, 0x19f54994, 0x4db8456b,
+    0x95666100, 0xfa64fea2, 0x565b6b19, 0x0b92070f, 0xa7f86612, 0x68834a4a, 0x74093ddf, 0xb9d1d22c,
+    0xce7dcfa8, 0xbd9a7a26, 0x32a3e0c7, 0x48a28765, 0xe13d4828, 0x34171704, 0x28c3a562, 0xf1449755,
+    0xa4e0179f, 0x4cecf570, 0xf5c2303d, 0x60066af9, 0x1e846dbc, 0xd20b88ae, 0xac1831d3, 0x730f19d4,
+    0x0061fdc8, 0x27079a5e, 0x1dc5c50c, 0x380cb4f4, 0xf89aba91, 0x4b507c88, 0xbd516dc5, 0xa6dff3a9,
+    0xf2166565, 0x29cc7401, 0x4a4213f0, 0x76a79539, 0x3a757d08, 0x922cb8c3, 0x508b6f4c, 0x114d8e4d,
+    0x1c63fbb7, 0x7e5e2d83, 0x973dc3a5, 0x92b175be, 0x59302e42, 0x3e0099f0, 0x7ac59d93, 0xed5c4003,
+    0x9407329c, 0x9c36574b, 0x694f4227, 0xd42dbdfa, 0xb031efee, 0x01927253, 0xed13a2a2, 0x46cc7263,
+    0xee9b9b2d, 0x2a6c5ed8, 0xe16c3cff, 0xb83049a5, 0xe20d5a28, 0xe0640d6f, 0xdca668a6, 0xe48ea3a3,
+    0x6eb2a8ad, 0x4b73f087, 0x5e2126d1, 0xd39ff02d, 0xc9b838e2, 0x41f314fa, 0x46299c2d, 0xf57a6304,
+    0x55ba40df, 0x17ef814a, 0x05ba1c38, 0x8d1f73d8, 0xe9694008, 0xaca137ee, 0x8585c6f6, 0x42d37344,
+    0xc5cdccf8, 0x405fef2b, 0xda75d502, 0xd6c31e92, 0x66e1bfa7, 0xd09850e5, 0x77dd0eeb, 0x6572b612,
+    0xdc79efbe, 0x391503d9, 0xd7de28b6, 0xe3d3a198, 0xd2549441, 0xad277fc1, 0xed568ee3, 0x237d5b38,
+    0x91b3581c, 0xd8da6002, 0xfcda74ea, 0xcd12fa11, 0x0210c932, 0xb0c74f4e, 0x9365286c, 0xf3e1836e,
+    0xb2acfa90, 0x90d647fd, 0x70dfc592, 0x498a627c, 0x14cca438, 0x3eb9ad4b, 0xb0af5684, 0xf4708c38,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000013803492693581127574869511724554050904902217944340773110325048447598592 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a46, 0xdab2020a,
+    0x00000000,
+    0xc4622ede, 0x3d1a799a, 0xdd64e18c, 0x9b1d2a67, 0x5a1973c2, 0x345856be, 0xb68e189c, 0x0d3c69ac,
+    0x50d37e98, 0x2f7057d8, 0x83c39f5f, 0x140f2d12, 0xe0a99e2b, 0xd660811c, 0xac05ead2, 0xe8307dfb,
+    0xeb611502, 0x4c8a9118, 0x37e3d1d8, 0xadfcc242, 0xf6fa2e25, 0x6eb6c69a, 0xda83e87a, 0xa88839ca,
+    0xf2f0387c, 0x0a49b80b, 0xe135b698, 0x53b9a421, 0x4e18f704, 0x765b40a7, 0x4c5dd2f3, 0x7ac96999,
+    0xc6b1b8a7, 0xc671b3a6, 0x971459af, 0x4fe02a06, 0x415fd507, 0xda947004, 0x1a69e284, 0x77692351,
+    0xd56fad49, 0x44639563, 0x94774e53, 0x8644be1b, 0xa1360bac, 0xd18d8052, 0x4639a1ff, 0xc01afb3d,
+    0x9a284b95, 0x541a8314, 0x7fca8ed1, 0x414d5f0c, 0xf24bc9ac, 0x4d8d7d77, 0x3282da8b, 0x5913c696,
+    0xd03b07f0, 0xc01d014c, 0xf8aab2ec, 0x62308750, 0xec03926a, 0x95b50c6d, 0x3e7f9dc7, 0xbc7706a1,
+    0xa1fb7804, 0xf2837be3, 0x01922409, 0xf2679e08, 0xba9abeee, 0xe2e90002, 0xbac9ce04, 0x6fdfac9f,
+    0xe6e8645b, 0xeed7186e, 0xa0d687a2, 0xd25e4500, 0x19a2bc49, 0xe367f443, 0xe5c99a2d, 0x2cc9c0d2,
+    0x2eb94ef9, 0x29e01293, 0xf678f2b5, 0x60467162, 0xc4712b4d, 0xc5f8341c, 0x5aa9f6b0, 0x6d26d0f5,
+    0x3da2b8b6, 0x5a5ebc4c, 0x024875a3, 0x8eb19901, 0x49fab9b0, 0x51a1b486, 0x787aad4a, 0x73b870ea,
+    0x3ae87856, 0x8edbc1a2, 0xd13c0162, 0x19ffb56a, 0xcdd00d1d, 0x1fca8233, 0x95fa668f, 0x17c4273b,
+    0xdaf425c0, 0x845d3fe5, 0x4614c63c, 0x5410ee3a, 0x186d4b28, 0xb167112f, 0xc2799938, 0x50f51498,
+    0x41d5b483, 0xa2012dea, 0x4adb79a2, 0x53d85d56, 0xe150e49f, 0x3e02e824, 0x0db96de8, 0x6ee2f7f6,
+    0x985798b4, 0xc8bf5483, 0x66b2bd96, 0xa21ed98d, 0xf75c8aa2, 0x3560753d, 0xac30af6f, 0x1d0818b0,
+    0xdd144e9a, 0xaf54ae76, 0x17c364fd, 0xab3e05ef, 0x9e7a7133, 0x02e9b168, 0x95a2ba7c, 0x81765f73,
+    0xf3554fc4, 0x81e99ae3, 0xe2cbf4d4, 0x13d1c530, 0x8de104bc, 0x6218bba2, 0xfcda41fb, 0xa98f7229,
+    0x10beecf9, 0xfb3aa788, 0x8bd72141, 0x45c09f98, 0xd7728e93, 0x039b27e5, 0x7c3d08b7, 0x3ac55483,
+    0xb7cc8884, 0x5be75a34, 0x7f51c276, 0xa17c0cab, 0xdba0bae2, 0x7ca10d9d, 0x1ae5e8d2, 0x7e70cfd8,
+    0xa550b573, 0xa64d6714, 0x23f225ed, 0x6a124398, 0xe95bd38d, 0x1366de6a, 0xc5573018, 0x96b83d05,
+    0x42abab79, 0x5e7578e3, 0xa7b4c138, 0x5b801e12, 0xfd6aabc2, 0x1cfe8b21, 0xbb8df707, 0x07df628c,
+    0xf70bf71f, 0x59cdea57, 0x2da02463, 0x7cd882e3, 0x0b306a29, 0x0a9259a7, 0x4e5f24a8, 0x26958b3a,
+    0xd8b0e499, 0x7b5b42bb, 0x33ef06bd, 0xcc7e08b4, 0xc2b1fa28, 0x384c09c8, 0x64554bde, 0xd8d394cf,
+    0x2efeb608, 0x4e961b08, 0xe4001e8d, 0x7f26199f, 0x27d6d09c, 0x831ea810, 0xab643e1e, 0xdc2684f6,
+    0x8d9692f5, 0x2ae62865, 0x5ac5a33f, 0x6a732550, 0x3b5752f5, 0xbea65dd7, 0xc29a16e2, 0xfa1e4003,
+    0x0aab87ab, 0xcbcdce04, 0x05a7fd64, 0x50783c1e, 0x34f88c11, 0x5e8e1ba6, 0xbd2aa70a, 0x263d127f,
+    0xba0b4134, 0xf2b39cae, 0x8a878042, 0x0225d37a, 0x10316971, 0xda8eb91a, 0x600e6649, 0x0558a915,
+    0x23345058, 0x9a56f479, 0x033a393b, 0xfc939296, 0xc8f4f13c, 0x0d8f3b82, 0xa5995ed6, 0x96d6fefc,
+    0x1d90ad60, 0xd7af9bc5, 0x474cfde6, 0x27f1e393, 0xf2773370, 0xc18cc7f0, 0x46599725, 0xc201ca8c,
+    0x21564727, 0x6ef5736b, 0x967e9f17, 0x7e530228, 0xc2c410d0, 0x42ea13d0, 0xacf743cd, 0x6508fe01,
+    0xf51c75b2, 0xeb684468, 0xcad3590d, 0xcc816d89, 0xdc964340, 0xca4f8ec0, 0x7f896710, 0xff87dc16,
+    0x6ce1aab1, 0x637ddf3b, 0x12aece7f, 0xf5621bdb, 0x7d54afcc, 0x92045e01, 0x04bd97e6, 0x1206d190,
+    0xaae8a1f7, 0xb8706f99, 0x3e75759d, 0xc1faf64a, 0xe9a9fd94, 0x76bd33cd, 0x1a4ad814, 0xf7098a1e,
+    0xd534a11a, 0x51167fa3, 0xb771085e, 0xec798ab4, 0xae72d6e3, 0xbf961d37, 0x80c3c23e, 0x360c43c5,
+    0x03aaae48, 0xc2b33e8d, 0x975f6c5e, 0x0840db6a, 0xe35d75c4, 0xb209fd8a, 0x63e3c54e, 0x0b5d408d,
+    0x67660021, 0x77a52928, 0x8ad670a4, 0xd6b2f13b, 0x55e22a66, 0xa2ea66cb, 0x533822a1, 0x78c19c75,
+    0xff0a7201, 0x3a7b59f5, 0x6688f51a, 0x2097236c, 0xe1961faa, 0x56d471ef, 0x9ae1e8e9, 0x792b508d,
+    0x5c893fec, 0x244aa4b8, 0x61d8ac38, 0x97d1ca26, 0x5d7c992c, 0xa999f595, 0x81c5ffe1, 0x19aae01c,
+    0x25e985ca, 0xb39cd0fc, 0x628c0218, 0xa0f21d9d, 0x783cc12e, 0xef789072, 0x777bc2fb, 0x28b035d9,
+    0x24f58b85, 0x74cc19c4, 0xd2da7593, 0xfeaf1bf3, 0x80932c93, 0x107a7dbf, 0xbb2e002c, 0x3b5325f4,
+    0x9ae6ed32, 0x92c8cbd1, 0x98e6e295, 0x0055b251, 0x7670f330, 0xcbebc05a, 0xdd752962, 0xe86056d5,
+    0x1496636d, 0x64456c3f, 0xe45bd122, 0x681d59b7, 0x0dcd711c, 0x2180ce04, 0xd800788b, 0xfa8d1ab1,
+    0x2737557b, 0xb893a2b6, 0x66fc61e4, 0x66038025, 0x56d9b4bd, 0xb149e8f4, 0x3c86b333, 0x534f198f,
+    0x7ff94bcd, 0x7b580344, 0x1b4bd11d, 0x656646fb, 0x0acd0462, 0x8de52040, 0x8531d2cc, 0x4111ce2d,
+    0x5ab91f14, 0x87b5c2c3, 0x776b6f60, 0xf77ade6d, 0x5e407fd0, 0x789b75d2, 0xc69db406, 0x83cefceb,
+    0x3613f9e1, 0xf8d06df3, 0xdf256a99, 0x23344d55, 0x930f83d5, 0xfde6f614, 0xddc8ac69, 0x6f28392f,
+    0x91af64ee, 0xab97f604, 0x44944c6f, 0x7551a203, 0x1664f6a3, 0x5518aedf, 0x0801ba6b, 0xcbee6861,
+    0x2597322f, 0xe1ef0a5a, 0x7b07c1e5, 0xc21339d2, 0xc8a05a08, 0xfeedd509, 0x3d8f2297, 0xae8e4d60,
+    0x07b7d511, 0xaef2bdba, 0xe78d9bfb, 0xb58230e9, 0x3536eb55, 0x83ab7472, 0x1b9fee2c, 0x97a0946d,
+    0x38482a4d, 0x08e81a6f, 0x8099f89e, 0x4b68a62a, 0x26faaf1d, 0xd4cc0504, 0x2b2949cc, 0x16d781f4,
+    0x3761c4b3, 0x933e8105, 0xb5d79841, 0x75a28457, 0x534636e5, 0xf4d0a81c, 0x3d2b3a2b, 0x26d0ef09,
+    0x182c2e56, 0x72879eec, 0x58cd7bd3, 0xbbd00f30, 0x4505e54b, 0x16d31472, 0xbd7f8d9b, 0x0f9c488c,
+    0x2f8c908c, 0x35545377, 0xd9455d3c, 0xf581f873, 0x648ed2a9, 0xc0ff1916, 0x8bf5ba7c, 0xa42327e2,
+    0xc5061cd8, 0x6d1d90d6, 0xc43b7998, 0x7ce7efd0, 0x2c53d2dc, 0x16e62ac1, 0x6321995e, 0xac38f549,
+    0x94c320e0, 0x5c30ea4b, 0x433db9d6, 0x1864573f, 0xf594ac6a, 0xdb38ff83, 0x43100b08, 0xd7365504,
+    0xbf93081c, 0xcf3348ec, 0xa52fa6fe, 0xc85c1787, 0xcc757a08, 0x212e51a3, 0xcf0bf7c8, 0x2a8dfb95,
+    0x6c2a3a1a, 0x5cec986c, 0x954d8b7d, 0xf2b7b01b, 0x7e2ed331, 0x7f9cc1ee, 0xd43f66ce, 0xb79e3836,
+    0x45e107ba, 0x35b1ca8a, 0xcf04f3b1, 0xaabf8d6c, 0x33f28b7e, 0x6d7397db, 0xb88b1431, 0x8b3a0328,
+    0x9aa29666, 0x30f188fb, 0x4e412ba0, 0x12d1dcb6, 0xbebc9b99, 0x94f12a11, 0x25382906, 0x02b46868,
+    0x0611a516, 0xb5bfa1bf, 0x1f5ae3f1, 0xfdde2cae, 0xdbcae897, 0xac41ea19, 0x485aa37d, 0xc80a6acc,
+    0xa81ce62c, 0x8623b4f8, 0xa8ce84a4, 0xf91979d9, 0x24656633, 0x4f420681, 0xc1940bd6, 0xf6f6c494,
+    0x386024c0, 0xeaab1444, 0x9f5fb77d, 0xce658540, 0x68b345c1, 0x7b63422e, 0xc742d963, 0xf4174572,
+    0x604aa37d, 0x307de1e4, 0xcd3b1dec, 0x434fa701, 0xede95fab, 0xc9045202, 0x4691dc07, 0x5fdc8c0b,
+    0x4eb49cde, 0x7b17c7fe, 0xc8868cc0, 0x7175d4d7, 0x26d6b392, 0xf61cfa8a, 0x310b851b, 0xf7145699,
+    0x90b79000, 0x84e3faaf, 0xb73c52a7, 0x2e37502e, 0xf4536eb1, 0x1996d1bf, 0x17cc7920, 0xdcc80829,
+    0xfb08b15b, 0xbbc62a6e, 0x08af44ed, 0xf8d39e09, 0x983928e3, 0xc998ffa3, 0xe207b3ed, 0x7c1a7c57,
+    0xe4e9b76b, 0x928fec40, 0x69fa10c4, 0xcc90c51f, 0x189ecc9f, 0x4aba94fc, 0xd13061ff, 0xdc8d3c64,
+    0x8418cae3, 0x23d34867, 0x07873336, 0x6bc9fc35, 0x9dd500fe, 0x305fa0df, 0xf6718cf0, 0xd7432452,
+    0x090d7ab3, 0x3d55f3a1, 0x4195c6c7, 0xa995729f, 0x68ca9e04, 0xbe9cbb9d, 0xa7d5e93a, 0x8d2dd1bf,
+    0x2ad92f8a, 0xeeae01ca, 0x93d0ef1b, 0xe9e35afa, 0x625142b3, 0x8bd99120, 0x08ef802d, 0xc15fa455,
+    0x1358b065, 0x98b070c1, 0xec9f9c88, 0xe4517b3a, 0x68451be3, 0x2634ecae, 0x52e50565, 0xfdafa9c8,
+    0x7f822559, 0x06fdd052, 0x6513966c, 0x18215fe9, 0xbf37c7a4, 0xcaca7f12, 0xcbdd6f0d, 0xdb13b7c2,
+    0x123fd8e0, 0xb64432c1, 0xb0cb35f0, 0xa5c0ca4a, 0xbc97e0d7, 0xe6ada33c, 0x08fd8eb2, 0x4f2a73b9,
+    0x10b9627d, 0x401ffdba, 0xf0e13ddb, 0xac8a81c9, 0xf29b2879, 0x29f02b43, 0xc7c16b62, 0x08d2bc95,
+    0xdfc69b7d, 0xd45cb59c, 0xac94f403, 0xaf071f76, 0xd4b09e76, 0xf65d4de5, 0x777c48b8, 0xf8da7852,
+    0x094d4e18, 0x5309038c, 0x20d3c801, 0x2cc3100a, 0x17c2f340, 0x2ee34fbf, 0xa89453e6, 0xda9b969c,
+    0xbaf61c4b, 0x197fbee7, 0xbfef83bc, 0xa59f6be3, 0x0376c63a, 0x2c7f75ef, 0xf043f962, 0x659f8251,
+    0x2c91d078, 0xd7ad6b66, 0xaa9def78, 0x54adc8ef, 0xaa1b40f1, 0x6b031b98, 0xf807ef18, 0xd3fe4e42,
+    0x6da36cbe, 0x30810598, 0x66ce82f2, 0x8c69be2b, 0xa22bbbf5, 0xe8d545ad, 0xb2bfd206, 0xc8f632a3,
+    0x36371114, 0x850ace4c, 0x28b0047d, 0x9c7298fd, 0xc7f96977, 0xdb395ea6, 0xb94eb58c, 0x4be57df5,
+    0x4839bc4a, 0x907f2cc4, 0x2f6a39e1, 0x08c0bf7c, 0x6ae5ba88, 0x84ecf32d, 0xf89c9f3c, 0xeba3d67f,
+    0x242e1fee, 0x815bdb3f, 0x3f363400, 0x8b148ca0, 0x926bcf85, 0x1058f95e, 0x98ae747d, 0xb8ccae1b,
+    0x5e5e12ad, 0xa708629f, 0x80e9b78e, 0x2964b6c7, 0xcd6bc92d, 0x4f066490, 0x81f11dd1, 0xc0141dd8,
+    0x945b9bb0, 0x45002d66, 0x1ab6247e, 0xa16ce696, 0x8196e350, 0xb0c61d25, 0x475534e2, 0xc03e6c42,
+    0xd81a8c6f, 0xdf41a876, 0xcd498552, 0xb8f8ef2b, 0x22346a69, 0xca3f558f, 0x1006d64f, 0x08bdbba3,
+    0xe02dc924, 0x05a22275, 0x1fff1775, 0x8b7208ae, 0x4405e66e, 0x97152545, 0x59dcbb02, 0x1e9e850d,
+    0x9d21f59f, 0x56a107d4, 0xdcc0a2ab, 0x79765590, 0x4ce18394, 0x6a39dac4, 0xb3f645cc, 0x3ca13fde,
+    0xd55044a2, 0x963cd40c, 0x8d0e7125, 0x923eea45, 0xe92c9da2, 0xcc433c61, 0xce4eb8d7, 0x66f9f337,
+    0x0d282398, 0x921ee6d7, 0x11b56a53, 0xfd32813c, 0xce7db4ae, 0x440874bc, 0x42c16813, 0x9b89e239,
+    0x8d702690, 0xb4941ada, 0x235675f9, 0x13e43270, 0xe267c0ad, 0xb247685d, 0x013dd6fb, 0x4a5486d1,
+    0x4bf9cbda, 0x0eb31dc3, 0x7e4d7299, 0xeec18c9e, 0x90af63e5, 0xf879aabd, 0xa431b436, 0xf8161def,
+    0x754de691, 0xe11c8b2a, 0x10487412, 0x61caa460, 0xfcb4460c, 0xde60b4ba, 0xa4a8e73d, 0x110e56f4,
+    0x6937dc23, 0xb300a9c2, 0x10870b65, 0x838e4897, 0x7add27bb, 0x81e5c098, 0x41bb77a6, 0xdd05cabc,
+    0x2108b375, 0xe950f08f, 0xeab48a9a, 0xf2317617, 0x8a0dec85, 0x82bcdf18, 0x04d56423, 0x3472bab3,
+    0x5ce908bd, 0x425cc1c7, 0x397ce28c, 0xd366584b, 0x10e8bd27, 0x14dd4789, 0xc5effdb9, 0xe61cabff,
+    0xba5a25c9, 0x306647f4, 0x93537209, 0x1ef810c4, 0x3a27ea3a, 0x540f2cfb, 0x55392cc8, 0x108b5f08,
+    0x0b7cdcf8, 0x7d9c7097, 0xf6f8f33a, 0x90d783cd, 0x42e1b002, 0x3e44e7fa, 0x67ff2b6e, 0xd967fd9b,
+    0xa49d6f42, 0xedef3c56, 0x39fdd2ec, 0xce979b33, 0x3cbc34ad, 0x848121a8, 0x15eba1a9, 0x971afda8,
+    0x4783e142, 0x1f30ca70, 0x9b51d648, 0x3f53d175, 0xc34e84c4, 0x4bf4c5c1, 0x2fba0d1b, 0x41f1ff01,
+    0xe1f44d2f, 0xdffbbeda, 0x662fd66a, 0xfc6a78f1, 0x6cc7fae5, 0x31eb75a8, 0xb061271a, 0x9c340a3b,
+    0x57b6edf4, 0x6c69ac30, 0xccc1ce69, 0x4bc6cd19, 0xad14e121, 0xff8f1763, 0xe1016899, 0x074f7d33,
+    0x6c79d842, 0xf4f7d836, 0xcf9c23d5, 0x3fc3989b, 0x1cc60945, 0x2f76016e, 0x90d54ad1, 0x45b238dd,
+    0xc8665149, 0x5e0828be, 0x2d461430, 0x78ced918, 0x1ec99f06, 0x1c7fd013, 0x80bbd244, 0xb0bf1f97,
+    0xae2352da, 0xef27517e, 0x931667ba, 0xfdd31c5a, 0xf75d1c51, 0x9b8aa221, 0x86253896, 0xd0d2e7da,
+    0x220169ea, 0x75db578c, 0x735058ef, 0x6a45cf5a, 0xb4ad5033, 0x9118b10f, 0x14bd1041, 0x0be2c305,
+    0x05770f1b, 0x663604af, 0x25e24a35, 0xf61417d7, 0x721dc634, 0x2bb229f2, 0xe2242738, 0x95361b86,
+    0x81d39566, 0xbb81d175, 0xa4070d44, 0xd8cc3a3d, 0xba8b1bde, 0xb8279386, 0x0513a0fc, 0x960f7e38,
+    0xa1b7213d, 0x9190a355, 0x5ecc85a3, 0x984c789f, 0xc60a3953, 0xfad36e49, 0x497fd268, 0xfb0d0ceb,
+    0x96df7044, 0x2f5db751, 0xd9579fd1, 0x43dd8b60, 0x69d89202, 0xadc3c191, 0xc8d679a4, 0x3ca57523,
+    0xc044d093, 0xada00d8f, 0xdb238d51, 0x15a80adf, 0xd98a27be, 0xfe647bd2, 0x43f4d3a0, 0x703e46af,
+    0x70c11777, 0xc165f2a7, 0x629c7e60, 0x0a2dda68, 0x6b749d87, 0xc55a22d1, 0xbfb7971e, 0x6148edff,
+    0x29e3c87d, 0x6d560319, 0x21419011, 0x368657f7, 0xc55f8278, 0x49ed1746, 0xc710b506, 0xd9095d2e,
+    0x6e60c2db, 0x0b57b336, 0xd0f79ebb, 0x0d98a0f6, 0xbdf7fa54, 0x593a0127, 0x378e0e5d, 0xa3ff6a28,
+    0xa75cbf7c, 0xc23d540b, 0xc1a7d7cc, 0xa92d3161, 0x54956e24, 0xd788df2a, 0x0b108f53, 0x6143afd6,
+    0xee6cd69d, 0xe8b952b6, 0x665f5d17, 0x8ebc1c57, 0xb87e64fa, 0xa2501ba2, 0xd44adf77, 0xf7372ea2,
+    0xb859190e, 0xcdc263ae, 0x5ae8e669, 0x52ccb8d5, 0xb4e911b0, 0x48358e97, 0x31ef7275, 0xbd275342,
+    0xa7fb0461, 0xba4d2d92, 0x3e0cf58a, 0x7b4be197, 0x729b270a, 0x3ad1fcf3, 0x2c968fce, 0xb048d9b5,
+    0x111d9bab, 0x62e86c93, 0xb3db2a9f, 0x74920af7, 0xd4ac50f5, 0x8888c306, 0xe01bf725, 0xe0cdb271,
+    0x15cadbbf, 0xf8acefcb, 0xccc57bd8, 0xfab16d1d, 0x0626adb5, 0x365757fc, 0x9fc63991, 0x2803c380,
+    0x0f544f91, 0xdae0ee20, 0x9a987e0d, 0xb4a4d42e, 0x3685e4fb, 0xad1e48dc, 0x1e10d902, 0x414e2172,
+    0x530c0f2f, 0xa93681b8, 0x4823457f, 0x459ba3e6, 0xa78a3bf4, 0xa1f7d77f, 0x16c84f59, 0xbf7b090e,
+    0xcacbbfcb, 0xed11b93c, 0x8419ecbf, 0xa3d78057, 0x013ea642, 0xbe48ce58, 0x0b8bdea7, 0x866ac3fc,
+    0x8708b5d0, 0x034ee4ac, 0xf1a5ca8d, 0x1c0dd34e, 0x41a83588, 0xb860b9d6, 0x139d3679, 0xe9f39ec2,
+    0xdac10390, 0xd2b00c06, 0x37968067, 0x78dd79b2, 0xf61a9c68, 0xc91da5cb, 0x0b7fa74e, 0xb514fdd3,
+    0xbdb2b575, 0x6079464f, 0xf9e47079, 0xb9f43e90, 0x790900ab, 0x1a63f9fa, 0x2114a01c, 0x64dbfe05,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000006901746346790563787434755862277025452451108972170386555162524223799296 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d23, 0x6d590104,
+    0x00000000,
+    0xe03813c3, 0x313f1236, 0x8e6fb916, 0x6643bc8d, 0x4603fbfa, 0x71d1a64f, 0xc164f9c0, 0x301bf90a,
+    0xc394c37b, 0x6afeb68c, 0x91e1da52, 0xdf20f539, 0xb8eb3e0c, 0xd2f746c6, 0x34dd5d4d, 0x1fb024c0,
+    0x0a0827dc, 0xcd1a47b2, 0xd74b8f42, 0xd2d28f77, 0x3d51d7af, 0x5176d879, 0x18cf4680, 0xccde2ea5,
+    0x8670d4d2, 0x4f4c5c18, 0xb3a49345, 0x57df0bcb, 0x8defbd40, 0x6a369bbd, 0xb7647e8a, 0x4ab9987c,
+    0x30525bee, 0xe1926c8d, 0x9e672fd8, 0xb148c2c2, 0x9a4313e4, 0x0a79ca27, 0x8bc38326, 0x0c249c89,
+    0xb8653326, 0x21535a47, 0xd6e08404, 0x6353e1db, 0x7b999f3b, 0x1475181c, 0xd7f45c66, 0x4bb27ccb,
+    0xc52059e5, 0x2e8903a6, 0xd15f5d28, 0xa040c064, 0xe037a132, 0x141b1793, 0xab4ad062, 0xc477452d,
+    0xdef97a9e, 0xd9ca4c59, 0x25ac3695, 0x5def3123, 0xf2b8cb5f, 0x97b15d29, 0x979f7771, 0x5939201b,
+    0xb44d1bb1, 0xf2cf7236, 0xeeddb1be, 0xba3d865a, 0xca9e09c0, 0x6c2b79ed, 0x98630921, 0x56d38fda,
+    0xd37165a7, 0x468f78f1, 0x06214148, 0xfce7ee27, 0xbea26da3, 0x631c30d9, 0xed5f2d3d, 0x457b8055,
+    0xa0ec5d29, 0xb4f8107f, 0x4ef06872, 0xdd63cf0d, 0x4ef061f7, 0x6af31660, 0x36b8950f, 0xfa44ae90,
+    0xe09cc4bc, 0xd67de7c2, 0x09371122, 0x99269df9, 0xfec845c2, 0x12e950de, 0xbbdee818, 0x8cade6dc,
+    0x5c639f4e, 0x04eb572d, 0xd4ffd172, 0x2dcb8e3e, 0xe1e1907b, 0xedcc4991, 0x9bd488d2, 0x81ec1ca3,
+    0xa603b069, 0x93600126, 0x925389c8, 0x5f2d91f5, 0x8d173887, 0x3aba9f99, 0xbf68f9a7, 0x16fb88fb,
+    0xd4323eaf, 0xea97b0f9, 0xc362fd54, 0xa38b923c, 0xfbab7750, 0x3a6d39ea, 0x270e7e52, 0x6b1623cc,
+    0x0194d8cc, 0xa4bb4260, 0x5746a6e5, 0x4f8da9fb, 0x0f9a6f17, 0xfcad0885, 0xa9e01c0a, 0xc82b9f02,
+    0x72ce24f9, 0xa935b83c, 0xbcfe88c0, 0xcb4bcfef, 0x94a78f15, 0x4df4e548, 0xead75840, 0xf91f64eb,
+    0xf0339512, 0xa0fa2e97, 0x7027c9e2, 0xe53a20ef, 0xbddd1cfa, 0xadf16e71, 0xe9beaa46, 0x6dd57c03,
+    0xc105f363, 0x86d8ef03, 0x82f92f19, 0xc3bc4e47, 0x77192457, 0x9b2d09c1, 0x2e41e938, 0xc32ac532,
+    0x8f4c14a8, 0x5a741b23, 0x11aa415b, 0xec28f9b7, 0xfe488dfe, 0x9eaa230d, 0x8e2d5bbb, 0x7ec2046b,
+    0xaa8ce223, 0x80ff874f, 0x7bea9877, 0xa7f9484f, 0xc1da3b62, 0x2f24c3c0, 0x63ee9913, 0x2e62a5de,
+    0x8efc083b, 0xde35fa7b, 0x40fc14ea, 0x37bbf346, 0x51d31447, 0xe9e7e8d7, 0x8457c553, 0x5b1d2748,
+    0x0731a41d, 0x4be58591, 0xcd1f9464, 0xa94213d2, 0x65d5fc5a, 0x1e13a409, 0xc51cf7e2, 0x50d017b7,
+    0xc03d88cd, 0xe301ce30, 0x8c667b56, 0x640351dc, 0x4d1d5919, 0x91fdd7a4, 0x6a051bf4, 0x5c9b5305,
+    0x7bb12d20, 0x158d21f6, 0x5cc52374, 0x2a520daf, 0xc7e9b9f3, 0x1e603b4a, 0xf64ea5af, 0x9b8a4d50,
+    0x2cf8f8e4, 0x384d91ea, 0x969a953e, 0xba73c499, 0x90697891, 0x4b1ced00, 0x55602bba, 0xde8ef01b,
+    0x501a0e4c, 0x2ad36ce9, 0x096ba231, 0xab1e272c, 0x2695e453, 0xba718f9d, 0x93c0213b, 0xee954e37,
+    0x3ae3e741, 0x8b4deec8, 0xd64dbc74, 0xdf9babd6, 0xf6b8803b, 0xb08fe75f, 0x7cc367cf, 0x5ea75ac3,
+    0x4918affc, 0x6f8ba69a, 0x19830ece, 0x78abf098, 0x96bda4b0, 0xa3eb64c9, 0x281ad063, 0xf673239f,
+    0x4fec843a, 0x07b273e8, 0xd8cf13bc, 0xf94522ae, 0x521a7297, 0x3a1d5ce5, 0x66194fb1, 0x729d4ce6,
+    0x09f8a006, 0xb95d7762, 0xf1724ac9, 0xc6503b26, 0x42fdcb72, 0x9c596b3f, 0x7c7909e4, 0x2ab66c09,
+    0x4442e9c7, 0xddcfa71e, 0xb711ad42, 0x36299854, 0x2857fa19, 0x5a02d692, 0xddc5f7fe, 0x458dee97,
+    0x7212712f, 0x264dbfda, 0xbbd1a0a7, 0xb3ec53b5, 0x53ab78c3, 0xcfca4547, 0x1b503f38, 0x09a8034d,
+    0x9b3a55c6, 0x2b73f062, 0xcbcace47, 0x81f7f9df, 0x068ef735, 0x70530f05, 0x27e91039, 0x7278f19e,
+    0xd49b287d, 0xf3617bb8, 0x4fb73983, 0xfaab0c18, 0xc80efa10, 0x126864de, 0x2395be3f, 0x5eee3f49,
+    0x85f370a4, 0x3d17b0f2, 0x6b52346d, 0x161fe58f, 0x21c3d645, 0x84a45060, 0xf43e4349, 0x5b206aaa,
+    0x99d3ea9c, 0x92242621, 0xf7f6703d, 0xfc1fcae7, 0xa6d48aba, 0x0d073121, 0x655cb83d, 0xf5bbb835,
+    0x1de6f73b, 0x39a9f4ce, 0x1b5bc67d, 0x06d2c673, 0x6b76aee1, 0xad30eb6b, 0xc606a341, 0x2908d9e5,
+    0x9592f090, 0xae91ec1d, 0xb0cc9ef5, 0x227c47d1, 0xc61706d0, 0xe6a74271, 0x3c8f23b8, 0x1272a0ff,
+    0x2aa5fa65, 0x0d3d610e, 0x7b1621a8, 0x34fecbe7, 0x11b637d8, 0xc8619e69, 0x27700b7a, 0x8872661e,
+    0x6fb86718, 0xf5dc6f90, 0x021edba6, 0x4071ff6e, 0x6c679058, 0xa0ce55a4, 0x483db69f, 0x1a7b0f62,
+    0x2401657b, 0xb9a10d73, 0x91384e03, 0x34a84cd9, 0xc2feac39, 0x8da2d2dc, 0x879dd9d3, 0x361947c2,
+    0xf7cc4754, 0xc44a683d, 0x5ebda19b, 0x81b75da2, 0x460b9f06, 0x6b8bc848, 0xf20354e6, 0xde2b40c1,
+    0x5dc70a02, 0xcb0a3462, 0x19285875, 0x87c0e9ab, 0x2959c5c7, 0x0270dd3f, 0xef8cd988, 0xab9d8dca,
+    0x239a9f4c, 0x709fab24, 0x947683de, 0x2ccaf64d, 0x88b8a144, 0xa2ea28c1, 0xae657af4, 0x2b63e326,
+    0xf66ff833, 0x5733346b, 0xd45dc1ec, 0xde25adf0, 0x84101cfd, 0x79ab086f, 0x414c8eef, 0xe686ef27,
+    0x3d79bc15, 0x8a401eb6, 0x1d42e8fa, 0x14142a63, 0x3599191d, 0xbc1cc7a8, 0x41d0a57a, 0x5bdfd342,
+    0x24a46850, 0x1b336e09, 0x51a39fd3, 0xfcc6c93b, 0xbcc66bc5, 0x86351601, 0xc7b12c38, 0x6680bb1b,
+    0x2e8cc84c, 0xd84bc82c, 0x64c018f5, 0x76684f5b, 0xf69b91ba, 0x71d97aa3, 0x3a521799, 0x9a094d44,
+    0x02067a9f, 0x12c5347f, 0x8d5c8316, 0x085ecc8c, 0x541fb387, 0x83746fcd, 0x112c4013, 0x6bd4ab77,
+    0x15c17a55, 0x20ab3755, 0x897345d8, 0x581aacf1, 0x5a32fcfa, 0x82ee4641, 0xbf32e99f, 0x878f70a9,
+    0xc7a1c827, 0xa93e3cd0, 0xd7e1d11d, 0x61c36ce7, 0xd97bd688, 0x5477a9ad, 0x1d60dbcd, 0x6a7e3bee,
+    0xd0e57937, 0xcbc8bb77, 0xcfd87fa7, 0x59e17525, 0x2f4f7733, 0xc2f2126a, 0xf7d87e81, 0x17148a0e,
+    0x88bea90e, 0xf69a7f95, 0xc9f1b271, 0xb356bb9f, 0xac801c00, 0x64f9a2e8, 0x8f4e0977, 0x8acdece1,
+    0xbf227c8c, 0x5c383a66, 0x583698f9, 0x34e8a6e5, 0x283a4ed4, 0xe3dda607, 0x64e3b067, 0xf325e10b,
+    0x65a9f936, 0x7c810a5b, 0x78ec79b4, 0x96fc0b09, 0x2bc3cb08, 0x2a99f0b4, 0xd072bff5, 0x95358b9d,
+    0xf6b584ec, 0x8b36b96c, 0x73026c82, 0xee151db2, 0x46a0e6d8, 0x5e5ea815, 0xcc84d73c, 0x24e96c85,
+    0xc239d740, 0x900de943, 0xc0a0241d, 0x2f052b5d, 0xe91ef9ec, 0x1343329e, 0x03631ff2, 0xeaa912b5,
+    0xd3482ab5, 0xdc623731, 0x5dd3ed37, 0x39f26cc7, 0x2a93e321, 0x3080ef09, 0xcf51f34f, 0x46b05125,
+    0x1206e583, 0x07211c80, 0x38a51644, 0x6565f966, 0x2a7613ba, 0x1b1f6a78, 0xc7337569, 0xb4e85a57,
+    0x8e69b03c, 0x66097429, 0x8391d332, 0xb773cad1, 0xd1c93987, 0x09d0e3ad, 0xe19f8196, 0xd91a27cc,
+    0x5bd1b69c, 0xee3c2a73, 0xdabbc661, 0xbae6d749, 0x2b9a5b49, 0x78228612, 0x8c31550d, 0xbe9d9249,
+    0xa0d71341, 0xf3fc48de, 0xc7a04398, 0x66199f75, 0xafb355cf, 0x70bab63c, 0x084404e0, 0xb2c2d770,
+    0x327e2638, 0x266b0f33, 0x3fc549a6, 0x56c8f25e, 0x7f5532e3, 0xfc78396f, 0x4203c373, 0xeb8dbb78,
+    0x9a631f98, 0x382139f3, 0xfc103344, 0xc1f2c3bc, 0xb2eb24d3, 0x3f1568d0, 0x947fbb50, 0xf855be6a,
+    0x22f61846, 0x0aaab8fb, 0x64c5ccfb, 0xaa8bacbd, 0x0fe00c0a, 0xc02a0274, 0x73c06a72, 0x75ac903e,
+    0xa386d7c6, 0x380a579f, 0x76fa0082, 0x5930f134, 0x4ea43b52, 0xa9c9eccd, 0xff3e8442, 0x5fa69db1,
+    0x833e00de, 0x1fedaff2, 0xc4f0b2a6, 0x80de8035, 0x970b411b, 0xbac1f819, 0x5b7e2cf0, 0x327fa40f,
+    0x2c78b3d4, 0x01aa05cc, 0x08811ef4, 0x319fd800, 0xca68988f, 0x45bd3f2b, 0x508a4fea, 0x9094ec72,
+    0xce783658, 0x7e64cd2d, 0xfc490ec8, 0x54d786a4, 0xe186d11d, 0x974b32ef, 0xbebf6042, 0xc8c8e8d9,
+    0x9a5e5f74, 0x96f522dd, 0xcbc4b8f5, 0x39c9b1ba, 0x808e3fb9, 0xfa01edb5, 0x8500f8bd, 0xb83b755f,
+    0x54aa53f3, 0x5ef1f6f8, 0x34a48a28, 0xa1f2012e, 0x029c071c, 0xdd71e2c6, 0x85272e74, 0x96868b14,
+    0x38b275a7, 0x7023f185, 0x8153b09d, 0x7949f427, 0x52f56dba, 0x862559dd, 0xbe31468f, 0xeaf6558d,
+    0x0b8f4032, 0xff2354b2, 0xce092352, 0xcb7f84b8, 0xc08f380b, 0xcf7dd804, 0x0f99587d, 0x0edca541,
+    0xbdcd796d, 0x3d93a59c, 0x7da860d2, 0x37b603f0, 0xb43d69ab, 0x05e89b21, 0x4e8a51a9, 0x9442ffbd,
+    0x0381bd00, 0xd66c8c82, 0x7b374d29, 0xc8806231, 0xd40e2210, 0x5514a59f, 0x164fbc91, 0x0d0f4398,
+    0x28edb278, 0x01197f6a, 0x3feb32fd, 0x0c1a1a6d, 0xed091775, 0x91f5b7de, 0x5020a687, 0x1282da6e,
+    0x88a975a7, 0xc4905989, 0x0700cd97, 0xc4aeb22c, 0x3bd6d759, 0xb24ab990, 0x990f614c, 0x103e23f4,
+    0x98f21744, 0xa4dbb54b, 0xed781cb3, 0x850716e4, 0x46c07a02, 0x42f641d0, 0x1db27122, 0xb161d5d5,
+    0x10d0be2d, 0xa1c0d985, 0x111484d1, 0x0dde7b18, 0x58ace5fa, 0x3c821896, 0xd94b840e, 0x9d706d67,
+    0xed8c3cd6, 0xd9911dbd, 0x5e2f48ee, 0x75923600, 0x8f86dd1b, 0x1e55dd11, 0xa8f3ea38, 0xfd06b9b7,
+    0xb8f5ed3b, 0x43ddb503, 0xbc2196a9, 0xd56b26b7, 0x5ee91e99, 0x01138526, 0x13c27e14, 0x0f96f57e,
+    0xced5ae9d, 0xfa7e1292, 0x1bc34c63, 0xf785d69d, 0x5ce65366, 0x8ef8812f, 0x04bf9146, 0x601d954d,
+    0x3b672c9d, 0x4cc25e80, 0x7c38ecc6, 0x0f5026ee, 0x25db015f, 0x90b425fb, 0x05495480, 0x6f2a2172,
+    0x5db6bd82, 0xac56c557, 0x8af2d2ad, 0xb0c531f3, 0xeae6b2a2, 0x7f174837, 0x20201cfd, 0x043adb90,
+    0xa648f6c4, 0xb1bfbf80, 0x84a39d22, 0x1f5a4aef, 0xc69d42e5, 0xba384d0b, 0x38ce5467, 0x8de016bc,
+    0x4290bea4, 0x79e9a039, 0xee72e38a, 0x9ecc2eb9, 0xc8bec9de, 0x39d63ba5, 0x082aa71d, 0x9059414b,
+    0x9a866708, 0x678a8588, 0x80bb07e9, 0xccf23b7c, 0x1e82e766, 0xd6572a2e, 0x166ebce0, 0x8697919e,
+    0xf35b7c93, 0xfa7d87cc, 0x78a4861c, 0x7b263a2d, 0xac5b4cb1, 0x63e7c6c4, 0xb521a054, 0x4931257b,
+    0xf0dd0805, 0x8559815f, 0x99e0d47d, 0x4ea5635f, 0x050e4ca9, 0x84e7ce6e, 0x7b06e7a6, 0x00612af2,
+    0x754f3b7e, 0x806a1950, 0x0d6911fa, 0x47d216b4, 0x14871e47, 0xbfd3f826, 0x16acf19e, 0x71d54198,
+    0xb3d82e70, 0x7697524d, 0x5dc20ecb, 0x01b40521, 0x67ae55c5, 0x4f441c02, 0x775188ea, 0x7e632416,
+    0x54ba577a, 0x3e41e8c2, 0x194afef5, 0x77af9614, 0x7796ab27, 0xb584db37, 0xfe59cb41, 0xf6c61e02,
+    0xe7e230e1, 0x0473bede, 0xaab66986, 0x03941d71, 0x39401e0c, 0x0aebb8cd, 0xc7f2aeff, 0xa808cbd4,
+    0x5798a37d, 0x0b51501f, 0xa619e2e3, 0x8b593eeb, 0x5d8bd0e2, 0xed794e2b, 0xf6b63569, 0x2039e60a,
+    0x6722b004, 0x9fe60dcb, 0x60a9008b, 0x35356091, 0xb8bfa560, 0x67062d11, 0xdec68879, 0x38f12acd,
+    0x72dce7e4, 0x429609d3, 0xf7dbb2b1, 0xe89f3c6a, 0x75df373c, 0xac49d077, 0xba9f54c5, 0x04277097,
+    0xad3605e4, 0x22b9829b, 0x5d77b4b6, 0xa82ae1ad, 0x201a8467, 0xb085fafe, 0xaebf30bf, 0x4c26334f,
+    0x54a9d436, 0x10d2baa2, 0x2c3880e4, 0x4a883de1, 0xf344ed15, 0x1bb10f9d, 0x613966f8, 0x00f5ce57,
+    0x0cca8f51, 0xbd658cc9, 0xaa28f1bd, 0x4d6f261d, 0xdea5cba8, 0x58fb4fc9, 0x05915315, 0xa1ae7087,
+    0xd76dfc85, 0x83c75093, 0x79a1a827, 0xe57ba37b, 0x56231a9c, 0x29ace264, 0xf4d32b5e, 0x12148072,
+    0xb5ab8728, 0x0610f1f3, 0x074d9cc5, 0x44d4df47, 0x4472baed, 0xe1689ff2, 0x94e74936, 0xb38f2a54,
+    0x7d2e1e08, 0xbb46f5f9, 0x2b28700b, 0x28e7a9ac, 0x36b9df9b, 0x742c2166, 0x934cb874, 0x6a34f52c,
+    0x2912944c, 0xe9580ab9, 0x8ebffadd, 0xed5a58c4, 0x136523c4, 0x1d9752e8, 0x58957cce, 0x93ddb964,
+    0x9610dc64, 0x4bfd11b6, 0x21dff071, 0x82504cba, 0xbb8bb2c7, 0x3d23aca3, 0xf92819be, 0xbc476d6f,
+    0x28b4396a, 0xf13a95a9, 0x45274cfa, 0x34b40062, 0x91a3e6a4, 0x3942422e, 0x8b2212ef, 0x56b7ad10,
+    0xb00172a9, 0xf689adeb, 0x2573b1d8, 0xb460adee, 0xbc64ba44, 0x99b878da, 0x7c3c3a82, 0x4341b468,
+    0xa5a9b551, 0x0fbbebd5, 0x28c4605a, 0xbc5f7c08, 0x95321958, 0xdbcaa95e, 0x803d56c2, 0xf3c3ded5,
+    0xc10fbf67, 0x7b8a3e13, 0xe4ee8844, 0x76977708, 0xb426c42c, 0xa0f6bf05, 0x8037b00e, 0xdfde7081,
+    0xa091599f, 0xe8f1702e, 0x0c0daf72, 0xc134c18c, 0xa4c31421, 0x0ce77473, 0xfb4bbce1, 0xe38b8a52,
+    0x63102e49, 0xffc4ac01, 0x46768a94, 0x57bb5ff8, 0x00890aa9, 0x5351c827, 0x8ccbbeeb, 0xb850e606,
+    0x1fe2351b, 0x09a77b75, 0xcc83f70e, 0xffd76795, 0xfc1e1a03, 0xfb63b6c0, 0xdf66ead6, 0xfc82a0b6,
+    0xd33b70a6, 0x8116a80d, 0x594d2687, 0x5c89a992, 0xe3721f58, 0x4865fa39, 0xa4543160, 0xe121d93a,
+    0x91a02480, 0x56b91ac7, 0x788171ea, 0xa47cfdd0, 0xe96d2c95, 0x31ff00b8, 0xd65d158f, 0x3c311754,
+    0xd2749711, 0x58943e88, 0xfe8d2d8d, 0xaa7a97d0, 0x2d36d091, 0x16d7ca10, 0xeda4a7da, 0x9cf391d1,
+    0xe6770a76, 0xfd5168f6, 0x67bfca4d, 0x86152039, 0xc8db8017, 0x6037f7d1, 0x612b63e7, 0xe8d061d9,
+    0x1e8156ae, 0x2bf1f60d, 0x2809a435, 0xf5a03c40, 0x97daf9b1, 0x45b42d5e, 0xf746141c, 0xd30914df,
+    0xdb3f0a2b, 0x51b5bad9, 0x6692ced4, 0x495328b5, 0x30fa6b09, 0x586a6903, 0x6654a904, 0x9e073015,
+    0x881d38f8, 0x2307dd89, 0xfa57da55, 0xae85e411, 0x318db99e, 0x5788dd3e, 0xcfcc2993, 0x9664ba3a,
+    0xefe663ca, 0xc13b7c06, 0x3640d23c, 0x8f5c3108, 0x812434c7, 0x9b4d3f3a, 0x986ace3d, 0x40521c49,
+    0x55030ab0, 0x0488b5f7, 0x425a1f67, 0x1cbe4635, 0x26166a55, 0x94697cd8, 0x007a7f8a, 0xebaceab1,
+    0xe7d3facb, 0x2a520dae, 0xc6ca8bca, 0x8d3a7781, 0x1836fe7a, 0xe5722b7a, 0x268d9e56, 0xe93401b4,
+    0x673f1412, 0x15c7b76a, 0xf5e07c1c, 0x7554fff9, 0x88e7d287, 0xf6aae98f, 0x30a1dd9c, 0xc8833d06,
+    0xa03d1816, 0x158702cb, 0xafa7144b, 0x2862b30d, 0x2c15ed5e, 0xa0cae41e, 0x201debf4, 0xd42c33f4,
+    0xd6907f27, 0x95af320e, 0x8d50ea79, 0xab949aa1, 0xb4baf625, 0xed3d7d43, 0x58efc568, 0x166d2e76,
+    0xf40b8021, 0x575df5ca, 0x79450595, 0x71f21df6, 0xbf12c271, 0x8b07d141, 0x3f3b79e2, 0x37b0ed86,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000003450873173395281893717377931138512726225554486085193277581262111899648 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e91, 0xb6ac8081,
+    0x00000000,
+    0xef954825, 0x8f195b6a, 0xaf66b4b1, 0x7eddb455, 0x7fee502b, 0xa7b7b8bb, 0x78f0c32f, 0xa255b4f0,
+    0xe856836c, 0x7ef0e3ed, 0x2b83d6a6, 0x91936eba, 0x13569190, 0x20850306, 0xff8b673f, 0x8c6a31ac,
+    0x1de47c26, 0x17b5d266, 0x4c6cdb22, 0xb4afc616, 0xa37f608d, 0xeff4f604, 0x8dd90c73, 0x0e001cf9,
+    0xa4813a0e, 0x9d42cbf8, 0xf97b07d5, 0xfde2354e, 0x2287cc48, 0x0d565b1e, 0x9f61fa28, 0x4070dcd2,
+    0xbf0ac17f, 0x859bd3cd, 0x0a11d98b, 0xf4b0b157, 0x2bb694a3, 0xa10de047, 0x302c22a4, 0x78d70048,
+    0x616e88d9, 0xb54bdd59, 0xb0d25de4, 0x3c725166, 0xa7b616f0, 0xd505ac10, 0x21e3fb69, 0x5a2ce549,
+    0x8b8226c1, 0xa5433fe0, 0x90c6fa89, 0x05fa186f, 0x8d719de8, 0x2e938431, 0x56a33e95, 0x5597e55c,
+    0x5b4cd449, 0x796ed328, 0x16fcb128, 0x64489744, 0xe553a8bb, 0x280a4201, 0xb087ba70, 0xbc3bed5a,
+    0x18756126, 0x4717909e, 0xfc7f26ec, 0x3ccff4fc, 0xc5b91553, 0x28838557, 0xc47663f4, 0x8900699c,
+    0x6d610fab, 0x5863afb2, 0x6454cfa9, 0x5d4d412b, 0x11ff2995, 0x59c6330d, 0x37e0a7f8, 0x1b82b0da,
+    0x2f072f2c, 0x2e1476d9, 0x7ceba2b8, 0x87350143, 0x827e7425, 0xce8f7de7, 0x59073653, 0x72a6a916,
+    0x2ae62c53, 0x183eab07, 0x79dc9c81, 0xd82e132e, 0x0c879ab5, 0x0bf33b10, 0x03665cd0, 0x8445debe,
+    0xd8041791, 0xe82724d9, 0x8ee693f3, 0xe6750efe, 0x3757f84e, 0xc592be0c, 0x44298a50, 0x4e097e94,
+    0xc980c9e7, 0x4909e78e, 0x545a9b1a, 0xdf07bbbc, 0xb4116d8e, 0x837561f5, 0xc5f3ac7d, 0x7f509c02,
+    0x3d6ce341, 0x1882f709, 0x3da56f9e, 0x2640031c, 0x8aae2439, 0xc4c57629, 0x8354a2f4, 0x8a473cae,
+    0x690896c2, 0x58017fb4, 0x803d60cb, 0x634095bc, 0x7a4e852c, 0x28bbf954, 0x2df492e6, 0xd961c623,
+    0x0cfdeb03, 0xb27d1f0c, 0xe1543f2f, 0xcaf6b672, 0x3505dc4f, 0xc577670a, 0x30267f5f, 0x0a8861f1,
+    0xdc762ca9, 0xbcac900a, 0xffcce52b, 0xee456c6d, 0xd90f962b, 0x0311710b, 0x4c967b51, 0xbeb6c211,
+    0x9bdab489, 0xa89da432, 0x49851695, 0xcd8567d7, 0xc6792ec2, 0x886aef84, 0x0a9ba089, 0xe2756c02,
+    0x6fd82be8, 0xff996130, 0x19939f02, 0x3f8d4b7c, 0x3ed7dfad, 0xc07e3250, 0x5ce76f5e, 0x4b26879c,
+    0x46365e55, 0x38456e2d, 0xcdd99233, 0x6f30a37b, 0xfd380925, 0xee03f7a5, 0x04cb6105, 0xb835b671,
+    0x2e69abea, 0xbf3255e8, 0x93f529ad, 0x5a082548, 0x25dd3663, 0xee97c80a, 0x51b5bc2f, 0x0c8dfe96,
+    0x718c173a, 0x567821fd, 0x03d1310c, 0x7dd78c5c, 0xbd550bfb, 0x636c8246, 0x87e9ac99, 0x49eb5afc,
+    0xf8ea9d65, 0xbb107d23, 0x26b82797, 0xa2525cc7, 0x57a96180, 0x4e4f09cf, 0xc6e6cc85, 0x366af914,
+    0x182dfda8, 0x0028b514, 0xa4a43f6e, 0xa9c4adfe, 0x43358b4f, 0xff34edf6, 0x5f0c7e75, 0x10954028,
+    0xc54c4f0b, 0x74f3908a, 0x7d660dde, 0x512c218d, 0xf98d125f, 0x58350c27, 0xfbdcdedd, 0x40710370,
+    0x09c14ced, 0xc9c8a34e, 0xd1d10456, 0xa3c9c5cc, 0xe0268740, 0x41deafb7, 0x66039061, 0xf8d8178c,
+    0xf41d2d5f, 0xcb3807bf, 0x79bc60e9, 0x51da1584, 0xed0e2b6d, 0x1030d467, 0x560d9099, 0x176c0684,
+    0xbd799a47, 0xed6e6814, 0x1b4b7d81, 0xb10a8aa1, 0xf9d541d1, 0xeeccaeed, 0x98cf1797, 0xeb811b0d,
+    0xb8538c2c, 0x68918d2b, 0x6704cbe0, 0xa8c0106a, 0x0ef35c10, 0xbc327a65, 0x6d174234, 0x3333c387,
+    0x7260bc3d, 0x4bc38a89, 0x643d70be, 0x873f78d8, 0x302b8d46, 0xa12aa635, 0x103f681f, 0xfc856f03,
+    0x459c2652, 0xab17d07d, 0x581d7797, 0xba082e62, 0xb2e4a4a9, 0x9c5470f3, 0x049d28ae, 0xf38e1d15,
+    0x7ada1865, 0xbff57501, 0xc4b29ce4, 0x76c9c42d, 0x7f64c8fe, 0x8e9f3c0a, 0x615bf9fc, 0x5585fea2,
+    0x4c800210, 0xaa1fb34d, 0x0bbeb4d1, 0xd2876140, 0xedd625b4, 0x44591443, 0xe903463c, 0x713c2b2f,
+    0x2c0c9a9b, 0x14cfaaa8, 0xbe9060c8, 0xa192cf93, 0x8378dfff, 0xe166d813, 0xbc6d127a, 0x4dbc0509,
+    0x34123073, 0x01348878, 0x147c520b, 0x6a163c63, 0x1180bdda, 0x3c0fbf12, 0x2ba1da27, 0x67c3de64,
+    0x384eafd1, 0x2cb2549d, 0x010526f3, 0x0cefd80f, 0x4a1dc05b, 0x50f766c3, 0x7e5b3e3b, 0xf69b9ddb,
+    0x0c91ef3a, 0x943ad823, 0x0d205afb, 0x0f3feec0, 0xac552605, 0x4ffdda8d, 0xa67f4837, 0xd72379ae,
+    0x942e4efb, 0xbd4907dd, 0xfcb9a890, 0xd61c26af, 0x28992a97, 0xa5bfd2ea, 0xc723e1f3, 0x373297ba,
+    0x4771c473, 0xc0b8bcc2, 0x98562260, 0xc1547829, 0xbc4a66af, 0x06f382f8, 0x9f41b8b4, 0x9ebe1c1a,
+    0xc9ca83c9, 0xbddf9098, 0x8b5175fd, 0xdc68039e, 0xbee9190d, 0xb036ca1a, 0x5bb4c4dc, 0x74f06ca3,
+    0x7bca93bd, 0x9dfca97b, 0x66feed11, 0xc43a0d8d, 0xad674a03, 0xfe5c0997, 0x44731bc1, 0x3e64b779,
+    0x5f7017c9, 0xb3d396ee, 0x41ca31a3, 0x8b2a7342, 0x42f98e7a, 0x12400ca7, 0x752bb64a, 0xfc8a9b92,
+    0x5eb1bf68, 0xcd99afb7, 0xadcfaacf, 0x8a25a802, 0x1c9a5223, 0xa102fba1, 0x20f4dd16, 0x83492d08,
+    0xdc236e1e, 0x1eb341a4, 0x41616bd3, 0xc8990323, 0xe7a271ca, 0xb0d031c0, 0xc1f7ffa6, 0x08da7b9d,
+    0xc8734246, 0xcb295580, 0xf09aee6f, 0xe10edb01, 0x6583187d, 0x81313ab2, 0x018bb5bf, 0xff015d91,
+    0x9070a1b9, 0xdfb25e3f, 0x0db1ff98, 0xbb00cfa6, 0x629a6556, 0x23c27ad5, 0x9c071838, 0x621986b5,
+    0x360a942b, 0xd648256e, 0xa3126a4d, 0x26bfc6fe, 0x5cbdd3d0, 0x2862c96f, 0x7fef09bd, 0x1900148c,
+    0x91b93b41, 0x49081e46, 0x95f6a9ee, 0x871969c2, 0x1fb29ba6, 0x3f5ab5ed, 0x992e66e3, 0x896f74fe,
+    0xa241e1fc, 0xa1a7cc27, 0x9680eda1, 0x8b0e28b7, 0x7000b376, 0xe2b00ff1, 0xb8e59cd3, 0xf5316ffa,
+    0x17ae6c6d, 0x121d6232, 0x1b6a4864, 0x420d295a, 0x21bc6fc5, 0xcfffc7e8, 0x340f6af1, 0x29f21551,
+    0xa4e117dd, 0x698b79d6, 0x8e705c7f, 0x4243e37e, 0x2c0f70e4, 0x468a576b, 0xa46e9fbf, 0x9a69ca56,
+    0x07b2bc5f, 0xeb9e59ac, 0xfb25dae1, 0xebce8da2, 0x0b5e25b8, 0xc69c5122, 0x6256acf3, 0xdd4bea72,
+    0xc041b446, 0x0649b567, 0x08f24fbf, 0x033f1b9f, 0x1d4ed43d, 0x9ef2e3a8, 0x3b0de2ef, 0x53f41e20,
+    0x7ca4485e, 0xb15806d1, 0xe62dca77, 0x777edb25, 0x5c42f183, 0xf2eb0957, 0xc014bfd5, 0x7b48713a,
+    0xc659d650, 0xc7df3cbe, 0x29ea9b12, 0x2699ef8a, 0xf1cb3335, 0xb2da3142, 0x8563e982, 0x9336ed9c,
+    0x1ee8507c, 0x1524ab49, 0x1661409a, 0xac91d59c, 0xa9f74538, 0x0112388f, 0x5228d306, 0x67a234ef,
+    0x774a7717, 0x9be8c0f4, 0x24d617d9, 0x951d9ed5, 0x75a3d858, 0xbbdd0556, 0x10bebcc2, 0x22e11ae2,
+    0xd83f1198, 0x8efd463f, 0x553be69a, 0xbcae919e, 0x2648e4e2, 0xdd65560b, 0x710af1a5, 0xae24816d,
+    0xd3c434b1, 0xc8eb83b4, 0xb8885098, 0x5cadddf2, 0x65a4656b, 0x5bd1d6a9, 0xe2834f82, 0x21f79f30,
+    0x64158bc9, 0xa831508c, 0x316269d3, 0xd308b12a, 0xb88a61d9, 0xf00326da, 0x247e03b6, 0x8c7e370c,
+    0xe87952f4, 0xd9cfafb0, 0x71431ec4, 0xcd985243, 0xb991c3fc, 0xe2cbfd23, 0xd9691c57, 0xdff73226,
+    0xdf38a6ce, 0x9365e4e4, 0x3b589bdd, 0x948d1cbd, 0x4faa3a79, 0x3f678e2a, 0x4dabe8b2, 0xd6e1e6e7,
+    0x76c02c0b, 0x13545813, 0xb9538400, 0x10e63a67, 0x2752ef52, 0x17bc42d7, 0xae91860c, 0xeedd426a,
+    0x94778ae5, 0x5467ac8b, 0x025da8c0, 0xa09d0112, 0xf935fcbd, 0x10d96cf7, 0x7cffc8ec, 0x91324150,
+    0x685e385b, 0xacf284fd, 0xfe8e3ef0, 0x472634ed, 0x579fded4, 0x80f35d34, 0xcadd66b5, 0xd08f4744,
+    0x867a2cfc, 0xaf2cbb53, 0xf5b55c0e, 0xd61e73a4, 0xaa3825ed, 0xbf28b45f, 0x81e87433, 0xa9c5daf9,
+    0x84a36c35, 0xec2a1aa9, 0xa1779648, 0x7f4bc4a3, 0x456278d3, 0x621abbb9, 0x7bb3dbbb, 0xb00132b4,
+    0xa1c34a5f, 0xc753d5cc, 0x4d947ff4, 0x5225969b, 0x805b7df7, 0xe7468299, 0x616c260b, 0x9d3336c4,
+    0x0c97f18e, 0x2c48af55, 0xdf68b1a0, 0x968cb949, 0x9decc311, 0x0395b0de, 0x47efc158, 0xc36503a6,
+    0xaf7699fe, 0xafcfbede, 0xb5aa2e50, 0xceeb2c6f, 0x18b601a5, 0x7b92fca8, 0x38416339, 0x427df39d,
+    0x6f75e122, 0xf00a4373, 0xe823566b, 0xed5aa9bc, 0x00712da8, 0x722f5d45, 0xe3e15c24, 0x648441a1,
+    0xa775cb11, 0x03fa16bf, 0x0231e20c, 0xc675df9a, 0xbc11a322, 0xbb230722, 0xeb43ba2b, 0xee3edba2,
+    0x3a01e5f0, 0x1ea96113, 0xb0fff2e9, 0x04c4463a, 0x8b29afa7, 0x1069d897, 0x6962caaa, 0x256854ec,
+    0xd78d79a2, 0xf3ba6bf2, 0x71d2f72f, 0x67d741e4, 0xe72e04da, 0xecf02a95, 0x2090955d, 0x57655749,
+    0x09e0aeb9, 0x11c38158, 0xd07531ec, 0xc18d9d25, 0x82783813, 0xd2e89009, 0x1f98c9b8, 0x1742e2b7,
+    0xee2eb484, 0x7d748b5b, 0x7e98927a, 0x1e722400, 0x736b2b17, 0x86bdf1a7, 0x5e050e8a, 0x1cb43573,
+    0x47d55d8c, 0x41cc0d23, 0x154fadaa, 0x082dc836, 0x69b00e85, 0x190fa9bf, 0xe1a91fef, 0xd60cdc41,
+    0x4f193f23, 0x4fcd55f5, 0x624c46ff, 0xfa14d996, 0x90eac093, 0xa4a2a677, 0x6b0beb14, 0x44d4386d,
+    0xdfed4afb, 0xba22b1f4, 0xeefad459, 0xdc7102e1, 0x5cb5205c, 0x005ccc27, 0x88e997cc, 0x521baa85,
+    0x17a4cb84, 0xf14c94db, 0x70a2f394, 0xd075eb4a, 0x3399a306, 0x4f29e551, 0xc12fb266, 0xf4e4e091,
+    0xd8029428, 0x55a67e99, 0xdba518dc, 0x937700fa, 0x02c7d0c8, 0x1b865078, 0xfd789441, 0xde9dfa19,
+    0x93356049, 0xb0c7a640, 0xd5699dde, 0xe8954c68, 0x63ab7424, 0xaf2f44f1, 0xcacc21d2, 0x9ddf7fb9,
+    0x43fa706a, 0x0875554d, 0x56afef1b, 0x182a4a14, 0x3ac135cc, 0x8a1c364c, 0x62fb0124, 0xa64c6d98,
+    0x120af171, 0x8888c9e1, 0x59fe2945, 0x943bee25, 0x8f980d1b, 0xed3af168, 0x79a851ed, 0xfc57698c,
+    0xbc82a4a3, 0x6aa5f577, 0xef70b534, 0xd16c7e56, 0x7d8e521b, 0xdd4097b6, 0x49ab7999, 0x6d6a7eea,
+    0x99a912c4, 0x03af1752, 0x6e4aff1f, 0x0b955f03, 0xe6683ba7, 0x802f1929, 0xdc38cf19, 0xde00ffcc,
+    0xa7dbc6b6, 0xf9c44caf, 0x1262442a, 0x6e9b0304, 0x20c99fca, 0x2252f669, 0x390e3301, 0xfa917bb0,
+    0x39600120, 0x3067ab35, 0xfa97fd5c, 0xc126aac7, 0x933d5de7, 0x38d176e3, 0x899504e6, 0x3b84c2da,
+    0x50b9410e, 0x6cb5b9ce, 0x38fc2b04, 0xe3581b7f, 0x4be0ddaf, 0x29b7462f, 0x5445f258, 0x9e08768d,
+    0x59a46dc8, 0x0854a4af, 0xbdc0fb24, 0xadd5960d, 0xc42fe559, 0x7ba11191, 0xbbfb0540, 0x7b571a8f,
+    0xf3728e9d, 0x9e983f4e, 0x1ebd486b, 0xec1a0966, 0x4c9adbcd, 0x8f9fb828, 0x86389761, 0x446d4b18,
+    0x00e19cd0, 0x5720b0e9, 0x4a056fd1, 0x633d2ec7, 0xc88b1df9, 0x79527318, 0xd9eb9a01, 0xf27cbb40,
+    0x9266c5cb, 0x8dddd7d3, 0x6aa89d26, 0x1fb40d6e, 0x39330330, 0xa431212d, 0xcf22d6d9, 0xdcd26c2d,
+    0x71076db5, 0x6913ef60, 0xbe2c68b5, 0xeadacd38, 0x3d4f6688, 0xaee4db26, 0x6c45ba89, 0x5fc8cfbe,
+    0x4048d506, 0xf0e77bd6, 0xce24b2da, 0xe69b8481, 0xabf5bcd6, 0xabec7231, 0xfd291733, 0x5f96b7e1,
+    0xaee4a5f6, 0xf585ef45, 0x1721f228, 0xccd8dd9e, 0x544d06b3, 0xbb7af8d6, 0xcb3130c3, 0xad0d2a83,
+    0xf445c55f, 0x9e837594, 0xd50b6d32, 0x15b2e5da, 0xc6f9ac9b, 0xcbd7df67, 0x75a5781f, 0x701bfe0e,
+    0xeb918de9, 0x7cd5c5f2, 0x47e68c03, 0xe26c9c0b, 0x534a4124, 0x2656a235, 0x4d285033, 0xfa44cb25,
+    0x8b0c4e13, 0x9f01cde2, 0xb842f896, 0x2e5e7ef9, 0xb470a2c0, 0xa86801c6, 0x500b334e, 0x1be93d2a,
+    0xe088d213, 0xadfbd766, 0xaf345345, 0x06b4e932, 0x7a3c2c3a, 0xb359c253, 0xe1ef78d6, 0x5e61abef,
+    0x99e93506, 0x93141a25, 0x4519963c, 0x95fed682, 0x3b6059ee, 0x7d12fe8f, 0xf03c8c1b, 0x717bec51,
+    0xda056693, 0x4a9a74ca, 0x42c7d1a9, 0x27ce47e0, 0x5d3f616d, 0x7d339a42, 0x6ae0f6d3, 0xd322c1cc,
+    0xab86996b, 0xe499554b, 0xd01bddc8, 0xf8adfed5, 0x5852e4dc, 0xaded904b, 0x64b7936b, 0xbb494b32,
+    0x239f3f5b, 0x5aeeb020, 0x0247e043, 0x011bd0c7, 0x1a8a67c9, 0x189e75fa, 0x186ed5f2, 0x46e14289,
+    0x612cfe7b, 0xafaf5a89, 0x5dda8fb9, 0x4b545fc3, 0x919a00e9, 0xa3abe08f, 0xf34ba431, 0x1c61fa15,
+    0x03ff51fe, 0x3163c354, 0x6e92162c, 0x5a84534b, 0x06ec00e4, 0xe3310d60, 0x745f1c3b, 0x8c465d4f,
+    0x8f6878a4, 0xc6eb593d, 0xdee03a1d, 0x3d6ec733, 0xbc0a4343, 0x3f186ddb, 0x66f8553b, 0x2b99a5fd,
+    0x2aa5452c, 0x89f9193d, 0x90133ae4, 0x3c8f1559, 0x2f560848, 0x2fd4571a, 0xa663e811, 0xa5e09ed5,
+    0xaf31cc37, 0x66e212b1, 0x35f15bec, 0x6022d28b, 0x1a9386ef, 0x38f73948, 0x296f3322, 0xb6613943,
+    0x566e34ac, 0x973c00ff, 0xba387769, 0x2837b3ee, 0x6144eed0, 0x87fa4c9d, 0xa6e6a372, 0xbd15ef23,
+    0x0ef10824, 0x91f1e84c, 0x995bb95f, 0x129d2fbe, 0x7634ea84, 0x1151be95, 0x27a9fd7f, 0xec93f4e0,
+    0x66407cff, 0x19031cfa, 0xd0bed31f, 0x59031fb8, 0xd11cdffc, 0xa8a1f118, 0x86705173, 0xa7e1f1c7,
+    0x0125b60e, 0x50abfc5d, 0x3a021360, 0xa0b860c5, 0x2c4a3439, 0xb9136a53, 0x4fe7e5bc, 0xd183b435,
+    0x845e3944, 0xca2beb26, 0x14f044e1, 0xe5df24bc, 0x97e2ff4e, 0x24eb9d53, 0xe8c55c0b, 0xa387f64d,
+    0x7086c2e0, 0x36fc2355, 0xd4b50f72, 0x6fb344dd, 0x8acc2f74, 0x5b4d8c46, 0x9531bd1c, 0x6dc9a605,
+    0xee2a9e6f, 0x84ff1138, 0xfc98a29a, 0x37310e20, 0xe910c8d3, 0x9c88e075, 0xbdfde621, 0xdabf9165,
+    0x879abfdb, 0xfc331069, 0x6b2ab43c, 0xf05c045e, 0x23c34865, 0xd20aae73, 0x5ed64ae5, 0x20603e3c,
+    0x60cec293, 0x6e83a478, 0xe872cbdf, 0xb871ce82, 0x5add6a37, 0x10844d8c, 0x00bbbe87, 0x6d626e4b,
+    0x95c106ce, 0x6243a49e, 0x6bb348c1, 0xc2e9dceb, 0x86a7b78b, 0x504954cf, 0xfcef2c6e, 0x358fede0,
+    0xc930d9b0, 0xa92b1b6a, 0x08744981, 0xebaf0def, 0xe8aa8e24, 0x1746b566, 0xbee47809, 0xd3600567,
+    0x44ecbd1d, 0x2afa19c0, 0x0c15f5b9, 0xed4ce48f, 0xb7697e1a, 0xe932923e, 0x9d9bbbae, 0xdca6a3de,
+    0x93d58a22, 0x112a7ad2, 0x9e3def02, 0xeac82a50, 0x8d656a6a, 0x34717903, 0x5e036329, 0x60e4bed6,
+    0x3b54ed56, 0xbc502ce0, 0xa838f80a, 0x3985eac9, 0x78a22ada, 0x957cd485, 0x0ed94762, 0xdb4ed208,
+    0x40c4604a, 0x451ce278, 0xe16dd6f7, 0xb73d6d4d, 0xae44efa1, 0xbcf1c56c, 0x08d63f57, 0x985431a1,
+    0x769ed64a, 0x3e8a35ce, 0xc45acb91, 0x1111903e, 0x6918b209, 0x1f7c63f2, 0xde77e784, 0x8aafe4d9,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000001725436586697640946858688965569256363112777243042596638790631055949824 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a748, 0xdb564040,
+    0x00000000,
+    0xaf1e726f, 0x00475c9a, 0x37008938, 0xfd565092, 0xb596dba2, 0x89596143, 0x7b13c257, 0x6e2d79a2,
+    0x9d8ed0d6, 0x4c80cc6c, 0x7004303d, 0x78a12a84, 0x0c545fef, 0x44e40f12, 0x9a1bcf59, 0xc8ff38c2,
+    0x9ec6df59, 0xe78b9eb6, 0xa025c2c0, 0xbf35f10d, 0x0a98eef9, 0xf81369a4, 0x6d65da42, 0x899fc459,
+    0xe3641393, 0x49570a0a, 0x5493c559, 0x2d66ec02, 0x5e28d472, 0x47297b1c, 0x8e369308, 0x30b864f2,
+    0x775bfef5, 0x77d370fe, 0x42076053, 0xc4b8ee12, 0xb9e57ac8, 0x6e7d67bd, 0xb8d0d8a8, 0x89626601,
+    0x74472c87, 0x079cc763, 0xfb704ac7, 0x353dceed, 0xdb052fca, 0x874dea14, 0x0d2accf5, 0x973fcb95,
+    0xc84653d3, 0xb3f16368, 0x4c80fc48, 0x2eaff986, 0xa826d605, 0xb89769b9, 0x2b63af2c, 0x95c4f851,
+    0x8af546d1, 0x8facb36d, 0xccea7fa6, 0x905310f6, 0x82b8480c, 0x4b995646, 0x32f0c10f, 0x53a423f2,
+    0x248c28f9, 0x1d620603, 0xe6709379, 0x949d02fe, 0xf9412838, 0x69d3bb49, 0xe827ca5f, 0x7a8af689,
+    0xbd1be551, 0xa7ace1eb, 0x7ec8bf3e, 0xee91f9e4, 0xda85ba7f, 0x54cc2515, 0x50623e23, 0xa83cf357,
+    0xd0af742f, 0xd325e745, 0xe2f8d38a, 0x706b39b9, 0xdbf6e9cf, 0x0ff69987, 0x9d232fb8, 0x3d57974b,
+    0x4c4fb23f, 0xf22dacde, 0x21d93b1b, 0x5308292e, 0xbc1847b0, 0xd848dfe9, 0xb5a8cd92, 0x9ff440a2,
+    0x17b063ec, 0x33c1eec8, 0x54386fe7, 0x7f9cbde4, 0xb041de85, 0xfb7f8d12, 0xa6ab7b14, 0xb5a3be1d,
+    0x8791ffc6, 0xd1a9cbc7, 0xb247ada0, 0xf116fac2, 0x936184b3, 0x9369ed83, 0x99d13422, 0x88babbd2,
+    0x86f2a587, 0xe093ca47, 0x7218824e, 0x7bea83be, 0xb1accd60, 0x68605442, 0x06359811, 0x715903c7,
+    0x9d7d5d0d, 0xe5378ae8, 0x89b1e497, 0x0c975301, 0xa865a748, 0xd43a3da9, 0x822a9d87, 0x3495b18f,
+    0x7bf73bee, 0x35ca759a, 0xe71abfc6, 0x3d9d6aac, 0xee63fc6e, 0x3ecbe562, 0x026ff957, 0x6a095a94,
+    0x6aa9fa08, 0x1fd8bedd, 0xbd6367ee, 0xd27a704d, 0x0b439b40, 0xac456c44, 0x7ee678a5, 0x43f7de97,
+    0xfce4cbc0, 0x37b777e9, 0x8a800ca6, 0xf40d7ec3, 0x48db6d6a, 0x9ebc88f7, 0xd5427c92, 0xe8a12c64,
+    0x76110d8a, 0x25ad61ee, 0xd884a964, 0x24e4c37a, 0x45043a9c, 0xa2ffaa0a, 0x0c99d344, 0xdff43353,
+    0x832d33a2, 0xb6a8058b, 0x233e0ffd, 0x9f67cd3e, 0x8e392233, 0x28db45b7, 0xd8d8da6e, 0x8d49e2bf,
+    0x6a83b053, 0x4270771d, 0x12b131a5, 0x62cad078, 0x5bb04343, 0x9d908b48, 0xe588f5f2, 0x5a1a2920,
+    0x75823631, 0x5abd9dba, 0x665fe658, 0xc28b4116, 0x7a9bb875, 0x99563846, 0xf7bd63b3, 0xc1ee3b8d,
+    0xfa1e6856, 0x2b9aea7a, 0xb89cdf10, 0x63402da8, 0x37cd65ca, 0x224a8c78, 0x10c9ad0a, 0x2c2d8502,
+    0x666574fe, 0xfd4d8862, 0x0a1ca7f6, 0xb1909994, 0xd79ca555, 0x69e9d316, 0xbddda872, 0xd14c2965,
+    0x5bb2523e, 0xfbbcc958, 0x0a5b6eeb, 0x8aaaa319, 0x667e6cbc, 0x5146996f, 0x89e08802, 0x2ebdb167,
+    0x9c8b31de, 0x48bd4461, 0x71dac702, 0x2f41339d, 0x1d76b476, 0x30f18e9f, 0xb18e26b9, 0x1e0cd211,
+    0x42c66c0c, 0xefb7253b, 0xce530936, 0xe3d1a0f7, 0xbe5be710, 0x3edcc400, 0xf4fa302f, 0x93d4812e,
+    0x68fa4123, 0x65c53b02, 0xb56e02b9, 0x88c9c775, 0xf1a9978c, 0xbed04155, 0xb7563a04, 0xa055b281,
+    0x8eaa8c3e, 0xc535b332, 0x631e1bf9, 0x16902fe3, 0x6d56f26f, 0x5bbda33b, 0x037d2543, 0x9304fefd,
+    0xc27edcbf, 0x30675c30, 0x7a24bb1b, 0xa1b4f847, 0x7ff12ea3, 0x7c5e4f81, 0xcfe806a2, 0xe9f7ce40,
+    0xe2c5fdb8, 0xa7096c1f, 0x0f298aea, 0xf5695a91, 0xb52534b7, 0x20585c3b, 0xad11edea, 0x924ff4f0,
+    0x84d866af, 0xb310def7, 0x59f43abd, 0xae7fc8fa, 0x799ab406, 0x4b88a231, 0x1c40ae48, 0xfbc45651,
+    0xdfccef10, 0x156683b6, 0x5624e90f, 0x5cc445f9, 0x5504b442, 0x25b20c30, 0x07e08ac1, 0x91e6a782,
+    0x99af1936, 0x08092344, 0x28b2d0f7, 0x70fe0ccc, 0x515e8ddb, 0xbbd012c4, 0xadf4a6ae, 0xe9be7acd,
+    0xf3839300, 0xf1731b7f, 0x43cdffe2, 0xac3da65a, 0x7220f9d1, 0x80f4a7bc, 0x1d7e8af0, 0x5d690fe6,
+    0x7f4bc711, 0xe94264b3, 0x9e0c1f31, 0x859b03c2, 0x7f1bf177, 0xf8586f5f, 0xa0b6f4ef, 0xf0050a18,
+    0x1409ea00, 0x1477b541, 0xf48fe924, 0xff9d7e14, 0x0e8bcb97, 0x218f8c8f, 0xa39365de, 0xd5a3a205,
+    0x5ed39ae1, 0xeac00092, 0x8d9cd573, 0xc4a74af5, 0xae141dc3, 0x0ba44182, 0x328bc386, 0xea86d51e,
+    0xefdfec92, 0x002306a6, 0x89de1f6d, 0x9495841d, 0x0d68241e, 0x8fd26605, 0xc7cb03d9, 0x9c59b207,
+    0x1ac06fa8, 0x5d0b0b6d, 0x7053f54e, 0xf2d679fb, 0x0ed8dbfb, 0xcbaae159, 0x67b659d5, 0xa885e940,
+    0x982a8aab, 0xffc89369, 0x5d6f8cfe, 0x7ae8caf8, 0x434e18f2, 0x933b09e1, 0x558db5fa, 0x42e37666,
+    0x9cf7d1be, 0x97c5b162, 0x8240f31f, 0x341677c9, 0x6d8074cc, 0xf914ab27, 0x4dd09524, 0x9cb09b02,
+    0xd77b064e, 0x48649269, 0x2afaced9, 0x9a24786a, 0x4a787114, 0x5fb25b4a, 0xa8161eda, 0xd7ead842,
+    0xc129081d, 0xc2b2460c, 0x6d9cc213, 0x48c72508, 0x55962e16, 0xd05a099a, 0x356860a8, 0x776908d9,
+    0xda4409fe, 0xcb75b7f7, 0x022992a1, 0x7350fc98, 0xfd859973, 0x2cc6172a, 0x87957dab, 0x8c3ce06a,
+    0xd4c70d72, 0x1d3448da, 0xdd59436a, 0x84364660, 0xa3563882, 0xc86bdaba, 0x176177ec, 0xffe02e77,
+    0x692df006, 0x8c7b37ea, 0x4f6f4cc1, 0x2eff7132, 0xf29865db, 0xb7ed5512, 0x852529cd, 0x517749f5,
+    0x70dedce1, 0xf7fe8a25, 0xc539105f, 0x7e393766, 0xe886579d, 0x1cb0be8d, 0xaa63daf0, 0xedf74da0,
+    0xc5596ba3, 0x1224d769, 0x14e57c6a, 0x73e4e102, 0x1f103513, 0x39474f42, 0x4ea24da7, 0x2f2bed43,
+    0x6328fab8, 0x2d2f2d6c, 0x022fb9b1, 0x6bbcdb77, 0x9ed21403, 0x11fe2b71, 0x185e7721, 0xf130b3a5,
+    0x7a3b5128, 0xa4abd24e, 0x9f6986b3, 0x25232718, 0xfb10ab4f, 0xed6316b8, 0xde4c0a6c, 0xcfd96548,
+    0xf2157461, 0xb6dac676, 0x0763388c, 0x179546db, 0xb1b8e011, 0xce2ecdaf, 0x4a9dc845, 0x0b36b4bc,
+    0xca6d14e0, 0x9469d9e6, 0x341d51fb, 0x59e76b02, 0x1a1e000a, 0xaa220cd3, 0xfcf7b899, 0x73da3940,
+    0xd8c13022, 0x9ed2b09b, 0x098f6913, 0xfa6c2cbf, 0x3ce3d047, 0x001f8d6d, 0xcce97300, 0xc1332bdc,
+    0xbce85f65, 0x61616b04, 0x46e8f6ce, 0xc1e4c1f1, 0x5901b08c, 0xac8b8411, 0xaba977cc, 0x90e14eca,
+    0x0655eaf9, 0x5ae57a82, 0x1a4495f3, 0x094f4e95, 0x98898ff7, 0x0494b578, 0x12ec869d, 0x91bdf930,
+    0x84a8f42d, 0x6da8f2ea, 0x057658a1, 0xa3e175e8, 0xa8318c46, 0x79b3eab1, 0xaecab007, 0xdafdb1a3,
+    0x1885ad78, 0x3c66de08, 0x297fc6d2, 0xdba0279c, 0xf3e0e548, 0x62aed519, 0xd1438850, 0x5a249e2a,
+    0x31f70f84, 0xda4a6d5b, 0x3926b71f, 0xa3539cd3, 0x92014c90, 0xd1a35aec, 0xfddd5e96, 0x3d74d67b,
+    0x6ca9be26, 0x8adec36a, 0x9d84bdcb, 0x5cd04f2b, 0xb7652d8a, 0x5801636b, 0x8c47e30f, 0x677cd183,
+    0x8babba5b, 0x2248d1ba, 0x835b9fb3, 0x23a162b4, 0x2fc6b9b6, 0x280373bd, 0xd890d451, 0x4f552f96,
+    0x615c6eb1, 0x1115b1a8, 0x0af6cf53, 0xd07f69e3, 0x6b73086a, 0x1710cb75, 0xd21f799e, 0x9edbf74f,
+    0xec8c71ff, 0xae10b148, 0xa979dbf3, 0xb7d3afee, 0x54a2e197, 0x8d1ec87f, 0x4fca0c01, 0x0e86aff8,
+    0xbd5ef444, 0xd06785c3, 0xc534b8d3, 0xf454b70b, 0xfc786981, 0x264474f3, 0xe26be119, 0x6d0a3c3e,
+    0x2aef94c5, 0xdbeeb191, 0xd8c2e046, 0x898254ce, 0xe34189fb, 0xfdc88c02, 0x8eadca59, 0x8829d998,
+    0x08f4066f, 0x8f66a1a6, 0xbb9cd1bf, 0xd9b1d242, 0x4cc6ead5, 0xe9274647, 0x921b9df7, 0x2def62fd,
+    0x8d22e658, 0x5d9ccbe7, 0x7134b30b, 0xa782eacf, 0x0d97c5e2, 0x8f7d5445, 0xfdf76cfb, 0x4b570e59,
+    0x09694630, 0x4ca7b094, 0x542f8e96, 0x4b307748, 0x5d91eab2, 0xa073869b, 0x44bf8e2e, 0x13fe4e06,
+    0x38042bd7, 0x92a52c4f, 0x40c4dd0a, 0xc68a374a, 0xb1d1bd74, 0xbc86229e, 0x98f234da, 0x517cdfed,
+    0x96440dc6, 0x59049fc5, 0x9f4b198b, 0x1097d9ca, 0x22fc7deb, 0xfab45185, 0x8f46f281, 0x23516ac5,
+    0x8ca2d8f0, 0xf893ce1a, 0x847e9498, 0x8225649b, 0xc7bcad28, 0xcfaaed2f, 0x0112a986, 0xc7d5334c,
+    0xb08192a8, 0xf41a9ab8, 0x6db84439, 0x41ac6dee, 0x01893510, 0xa4d4948e, 0x62f8912a, 0x27a0d941,
+    0xe5aa7532, 0xd1112b68, 0xc70af6a8, 0x5dc3182a, 0x6484ae17, 0xf2788396, 0x9b8af39c, 0xb19fac8d,
+    0x2bf81df7, 0x5a0b424a, 0xd451fe94, 0x0f29fe0f, 0xeaaf4c98, 0x6fb691da, 0x129bf487, 0x5ad57374,
+    0xa765d621, 0xda63a8e8, 0x8b81c059, 0x29a24156, 0xe570991c, 0x7cb65126, 0x2af73d29, 0x1fb7994b,
+    0xfa84cd72, 0x26f0ba76, 0x5cdbeac0, 0x60207da2, 0xaed5b5c6, 0x62dbca35, 0x8d4bb265, 0xe774d6f7,
+    0xa0eb0444, 0x568a69c4, 0x03e4c8ca, 0x626a40cf, 0xe61ab100, 0x2b042d9f, 0x490be51b, 0x9417639f,
+    0x4b06b86e, 0x7d0f28cd, 0x07e6d091, 0x080524a8, 0xd458196a, 0xb84cd60c, 0x3a2a53cf, 0x34dd0b10,
+    0x9913f1bc, 0x6699a84c, 0xd21196a2, 0x7e318ae3, 0xe8731281, 0x6f5da8e9, 0xf6fe1dc5, 0x17a42e64,
+    0xa7901800, 0xa4e1ae3a, 0x2f5f9eda, 0x2b63aac6, 0x113eacaf, 0x5e246e99, 0xe45e112f, 0x8d713647,
+    0xb1fcd161, 0xc0a784f3, 0x1d1791a8, 0xffacb17c, 0xc510a33b, 0x50946526, 0xb9c41c7c, 0xfa5ff117,
+    0x7a4b3c3a, 0xf6fa0df4, 0x0703abe7, 0x8fc9e434, 0x0795396d, 0x9eefd7ee, 0x4a630ba7, 0x19e313e9,
+    0xdbbdd5b3, 0x339c1788, 0xe37c9daf, 0x0cf83f7f, 0x7c199a56, 0x49ae8842, 0x3709ad2e, 0x66df348b,
+    0x8b3e8a75, 0x1d64a06d, 0x993bc191, 0x1a08d7bb, 0xdeae3a55, 0xb832cfb9, 0x241b71dd, 0xbf9dd057,
+    0x37f88f11, 0xa599a7b2, 0xa1aafb09, 0x7d2e97ff, 0xd18f032b, 0x0e34052d, 0x8fed9e75, 0x6a951f3c,
+    0x123990e3, 0x6dc8744f, 0x8c176218, 0x9a2b8ee1, 0xdeeb1f4d, 0xde60206e, 0x8476f5b8, 0x480dce2a,
+    0xe09ba00a, 0xcc867528, 0x9e21b55a, 0xccaf7c39, 0xd1cec691, 0xf3114f66, 0xd295ff84, 0x6fd1b49c,
+    0x153858f6, 0x137be22e, 0x58880a70, 0x955ed0b6, 0x325d99ca, 0xaaf5ae9d, 0xf1258690, 0x06539fb2,
+    0x4a3a6c85, 0x05a0723f, 0x70e5741d, 0x2f25de5e, 0x32ad0294, 0x17b05469, 0x34afd051, 0xdeb95a5b,
+    0xc63ea0c8, 0xf3fdb0d7, 0xcee600fd, 0xcfc068c0, 0x66f90af9, 0x12dc491d, 0x2176580b, 0xab8f9267,
+    0xdc2cd3e4, 0x7a17d61a, 0xfbbad805, 0x506c2066, 0x33de6e31, 0x06465567, 0x2dc4b1e0, 0xb67d33df,
+    0x9297888f, 0xe5fb6ee4, 0x5297ad7b, 0xb8a19e6b, 0xf49968df, 0x19950dc4, 0xbc8237f2, 0x483708a4,
+    0x5cbd95cd, 0x75440585, 0x0ebbac46, 0xfa959127, 0x6f5bf825, 0x0f4623cd, 0x6841c8f7, 0x210803ae,
+    0x49a7c64b, 0x6d68bb23, 0x4c775f92, 0xa91304b2, 0x2fbdb2da, 0x20515393, 0x538d7db2, 0x0f5c5d10,
+    0x2a23b6dd, 0xa785292f, 0xece50cde, 0x56d0a869, 0xb38bce16, 0x39f4e500, 0x6051a00e, 0x42c10826,
+    0xf46af01d, 0x454ffc6a, 0xa2e016f6, 0x8857b42e, 0x84395db7, 0xb8ec51a1, 0x276eb9e9, 0xb73c73d8,
+    0xa8fed543, 0x5968d353, 0x0bc35c67, 0x03c38818, 0x6c9e3e4b, 0x895c4e5b, 0x88cd8daa, 0xca5f13f6,
+    0x8cad82a4, 0x158cf5a5, 0x029a3e60, 0x929b0d7f, 0xf30f3e51, 0x62c9ee27, 0x717d2bf8, 0x70d972bc,
+    0x0c45b036, 0x28741ecf, 0x83cd8e0b, 0x344423f0, 0x259eb701, 0x7eaaafdf, 0x0a6dfc1d, 0x68cab137,
+    0x394ac7d2, 0x472b9c14, 0x3937ad38, 0x2d394bdd, 0x923c81c0, 0x99541e18, 0x7affc54e, 0x2c1d7031,
+    0x365b1151, 0x5b2c5a6c, 0x24087ddf, 0x8de84739, 0x6305d90f, 0x0127149b, 0x0d7c1e02, 0x870b686e,
+    0x60b87f21, 0x14d32a69, 0x07fbb749, 0x693fe068, 0x2a68efbf, 0x36dd090b, 0x5bdfe6d5, 0xc08f5646,
+    0x6ab481d1, 0xa484041c, 0x02c3ef44, 0x3e97cbbd, 0xd173d47a, 0xbe11f998, 0xa29742f9, 0x994e34e4,
+    0xd3084c7b, 0x7a54d510, 0x789783f0, 0x93f02e1e, 0xed53f6e7, 0x78b90708, 0xa198dbbf, 0x9c41edbe,
+    0xea906309, 0xa0560bf4, 0xf88adb3e, 0x877fc6a7, 0x0d78eda8, 0x7a5db413, 0xec0500a0, 0xdae5af16,
+    0x550fe3c9, 0x37ab02c5, 0xc9c1a36c, 0xd667b3ea, 0x6af50130, 0x102bbd9d, 0x1e1de3dd, 0x2af9a1e9,
+    0xafba8149, 0xcbe6e46c, 0x5d704872, 0x2f0a9b52, 0x998b19fe, 0xed1402af, 0xab1bc5a8, 0xa11b52a3,
+    0x3fa7a8c6, 0xb6c101bb, 0xf92bd06f, 0x4a4db55c, 0x834ff498, 0x7a60a0a0, 0x5284ca74, 0xb02a67ae,
+    0x8f70b6a0, 0x44c7edaf, 0x19f776a3, 0xa07ac026, 0x09013464, 0x28281704, 0x26c80334, 0xb8bcef97,
+    0x7f0c29a2, 0x5e81292f, 0xddc10301, 0x8ffddc77, 0xb8700b08, 0xbea333f6, 0x97a380e8, 0x4ea49c97,
+    0x9a012bd0, 0x53fbc474, 0xb737675d, 0x1b3c6e48, 0xe7725ee4, 0xfd62b249, 0xb46a0eb8, 0x29cc6269,
+    0x8273ff50, 0x36a3754a, 0x581be809, 0xdf9eaf9d, 0x5d5f97fb, 0x147b5fc5, 0x75879648, 0xa75cfe71,
+    0x37bf48ab, 0xa1b20596, 0x0b5a33d3, 0xe22acbf1, 0x83c5df20, 0x2178019e, 0xea7961c8, 0xa79b1112,
+    0x6cc79970, 0xd9ab0b8f, 0x48554153, 0x0d6db215, 0xf5625f2b, 0xeb7d136c, 0xe44ed682, 0x9d3d6531,
+    0x8ccf9f61, 0x217d2213, 0xb9ae720f, 0xf168220c, 0x9c9f3023, 0x09eaaff5, 0x8a4c1dd6, 0x5c9854aa,
+    0x522b4694, 0xf4a7f3c7, 0x9c166445, 0xe4f60294, 0x4bb1f03b, 0x4f2ca88d, 0x594177ff, 0x58ea3f6a,
+    0x15a6a041, 0x99a4efdb, 0x4ef31753, 0x46d61782, 0xd3fa4082, 0xb7467f91, 0xaa47ad3b, 0x26b6397e,
+    0xe2440aac, 0x9333328d, 0x13ae44e9, 0x547289f6, 0xf6cb6427, 0xe372b316, 0x3b8cf2b7, 0xbb04db02,
+    0xd1522a90, 0xf9f2c2e6, 0x1a3f2d8c, 0xfcfd58b8, 0xb6150a73, 0xc928be9f, 0xc6ded2bb, 0xb9d61f22,
+    0xda3cd522, 0x0ce7e747, 0x22d1130d, 0xf398b564, 0x052ef727, 0x58bf1d5c, 0x90471198, 0x8e528398,
+    0xe58409e5, 0x2a879372, 0xa5e2936a, 0xab121cc7, 0x75be39a6, 0x5fce3cf6, 0xe545d8ba, 0x5e998c59,
+    0xe8c47e2e, 0xecf523c6, 0xba45ac65, 0xa38128b3, 0x4a621c1b, 0x319a4fab, 0x4ea69e04, 0x0d449300,
+    0xcdbaa874, 0x53a58388, 0x7f772ae6, 0xbaba433b, 0x54e8eca3, 0x44de01fb, 0x632a8489, 0x93adb07c,
+    0xec165e9f, 0x0a5fd13a, 0x5cad37bd, 0x86d42d20, 0x184b9060, 0xad111f7d, 0xe353942b, 0x6e51c2d3,
+    0x3686e778, 0x39a500a5, 0x49425bed, 0xb51e0491, 0x2c2da674, 0xe5ef5a28, 0x6f2ce48b, 0x4979f1eb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000862718293348820473429344482784628181556388621521298319395315527974912 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a4, 0x6dab201f,
+    0x00000000,
+    0xd3bb6576, 0xaa48a340, 0xe4caa237, 0x10c080af, 0xc5e33573, 0xcef8bcb2, 0xb0df4381, 0x7486d15d,
+    0xb2b9628b, 0xb1671fd4, 0x3977a801, 0xe7f2267a, 0x18a6baef, 0x8a363a0b, 0x1c5aeb51, 0x38ade12f,
+    0xe03fbe29, 0xc4a4603d, 0x94ef7bf8, 0xaa4490e0, 0xdf73b336, 0x92796aed, 0xa0e7bad0, 0x201e6ca2,
+    0x5d6026d6, 0x1933b1a2, 0x995551e2, 0xccf29ab1, 0x4d20520f, 0xfd722fa2, 0xe608780e, 0x2939d7ad,
+    0xef06fc13, 0x74d74c70, 0x8285e3e7, 0xc14f7a36, 0x0f786bc9, 0x69472ad5, 0xd52d82f5, 0x3b9ba7e3,
+    0xd5ed04b3, 0x2fe24463, 0x2043a602, 0x3807a2ef, 0xe95bd77d, 0x94f3d087, 0x1f061111, 0x13c86b33,
+    0xffe8d462, 0x2f611c24, 0xb7afed00, 0x9303f77e, 0xa071820c, 0x8a12c314, 0x2ef0fd76, 0x517c85cc,
+    0xbe497a33, 0x153392ef, 0xf3b86f3e, 0xe71f92f6, 0xe47af33e, 0x6e82ec8e, 0x135de070, 0x37e5e464,
+    0x95c28785, 0x188185a8, 0xf238df71, 0x04bb229c, 0xbbb40140, 0x5437e845, 0x2c424125, 0xbf53a912,
+    0x7de8cbf6, 0xa5266e3a, 0x84255a6b, 0x795dc98f, 0x7d7e8287, 0xb146a446, 0xc9d896a4, 0x9b84dac7,
+    0x6017a016, 0x88a75d5f, 0x51548425, 0x2ef32870, 0xc2baedb5, 0x2f86a08f, 0x45b6c7a5, 0x5ad1c5ef,
+    0xcf0b4c2c, 0x2574909d, 0x9d36f271, 0x15eb215d, 0x36f760f3, 0x11f6f2c4, 0xf87b4425, 0xb7204f1e,
+    0xfde2bf06, 0xc7a4fa02, 0x48018ef8, 0x17ddbb0a, 0xa56db4c8, 0x2ba7657d, 0x218a2027, 0xf908ae17,
+    0xedb89fb4, 0x9a10b82f, 0xc7e8c394, 0x1dbc950d, 0x94e6adf8, 0x1a12c897, 0x9bcb9775, 0x38431fc7,
+    0x30567742, 0xfa6ba189, 0x1c87083b, 0xab67a65c, 0xfe6d021e, 0x771cd4f1, 0x26fe63d8, 0x632e53f2,
+    0xece74e51, 0x587e7eb7, 0x678b5e80, 0x2d9f96c5, 0x28e6149f, 0x05e3c485, 0xf0d5e2af, 0x26ed5a92,
+    0x04b8f282, 0x2bce2644, 0x6f5c685b, 0xeddf4119, 0x1fe62fe7, 0x58485589, 0xef1cd409, 0xf1afd96b,
+    0x78599f1a, 0x8a010049, 0x0d63358c, 0xacbfbb56, 0x25720d6f, 0xc6701e6b, 0x9d3b3593, 0x2d1bf99b,
+    0xb963fa4c, 0xcaefe22a, 0x58ad2041, 0x7fdb5d69, 0xd95c7550, 0xfd272aa9, 0xcd42f474, 0x87cb7acd,
+    0x173ecd4f, 0xab466494, 0x00e1ea43, 0x124763f7, 0x0c48fcc6, 0xfa43f57e, 0x463d0886, 0x116bd9f1,
+    0x8eb20fed, 0xabfc03c0, 0x44cb53d0, 0xf25f6d6d, 0xfe9d7cd6, 0xdbf3aac8, 0x1251a847, 0xd42cc6ee,
+    0x91dd77f2, 0x8fb76ee9, 0xe2d55972, 0x94c265a0, 0x08d3dd5a, 0x652330c7, 0xc9383408, 0xcbaa2eae,
+    0xeb592115, 0xc8159ab4, 0x3c997062, 0xd69e26c1, 0xa0f5215e, 0xe59f4a46, 0x2407d184, 0xa67d59a3,
+    0xcd90e8a5, 0x0944adae, 0xd24f3360, 0x8c39f0bf, 0xc67bc2cd, 0xf62b8a4f, 0x4490cae3, 0x323ebf52,
+    0x97f6804f, 0xedb0eccc, 0x805f1a25, 0xa3d66682, 0x79e07481, 0x6a1a55a2, 0x681a71d4, 0xf7ee1178,
+    0x6222c9e7, 0x94a33dee, 0x6b34cb31, 0x73fe66f4, 0x5475f395, 0xbc51bcff, 0x4fe006d9, 0x8fc5332c,
+    0x0e58aff2, 0x3e2c9020, 0x20c319f4, 0x0bbd728d, 0x8136fad9, 0x1ed04120, 0x2beee3ad, 0xe5ad014d,
+    0x50f87a77, 0x4f13a0af, 0x1e63afb0, 0x3fdccfb6, 0x23c24ab4, 0x6f976e52, 0xb6af8413, 0x65473b3e,
+    0xf8537a74, 0x8560f0ea, 0x58c79e44, 0x435307d7, 0xdc43a7d1, 0x15fcb292, 0xc3684523, 0x88dfb257,
+    0xf30a144a, 0x4f7d04e2, 0x68d6a510, 0xa5faf424, 0xde96625b, 0xd0d79591, 0x8d18bc5d, 0x67ceb971,
+    0xee2f2dbd, 0x0e7ba43a, 0xcd280669, 0x19b71974, 0x1012fe50, 0x3e4a3b5f, 0xcca74785, 0x0bd80a7f,
+    0x8f655515, 0xc3fb6b2f, 0x8748ad2a, 0x72c5de3e, 0xb79699c8, 0xe79c9c7c, 0xef8a8a94, 0x2fdafce1,
+    0xa3aae3df, 0x649abab2, 0xafc4c6cd, 0x06cad174, 0x843bd26a, 0x9549c53b, 0x6fe5304d, 0x1856f170,
+    0x3d9ef29a, 0x94601a5b, 0xa0d01a15, 0xd7db8c03, 0x6440b3e0, 0xd8837d8a, 0x371ba3d7, 0xb7db6c3e,
+    0x98ae8871, 0x05442436, 0x92c166f8, 0x8559aafa, 0x4083e3a3, 0xd4031cde, 0x2bb727b9, 0x6c001f54,
+    0x2554220a, 0xac5f17de, 0xb0f35780, 0x3201d5ea, 0xaf360be8, 0xc4f8785a, 0x3bcb5500, 0xce1d00b6,
+    0x4edf5a6f, 0x0277ceec, 0x7ebafe3d, 0x26dbd301, 0x08d92434, 0xd7b55cb6, 0xa49d2b06, 0x61712d0b,
+    0xaf5b3913, 0x79ce9806, 0x7f6d67cb, 0xed02dbe3, 0xc83ea76c, 0xebb95d00, 0x48392678, 0x81a551ad,
+    0xc6b5036d, 0xfd600771, 0x99ff9669, 0x4750f399, 0xb010c7bf, 0x1620b9d2, 0x41310ea7, 0xd03f6c51,
+    0x3cced859, 0x9f928e58, 0xb6c7953a, 0x9a1b7f9c, 0x2cae23c0, 0xd353c751, 0xcec9085a, 0x05a6551f,
+    0xc4b79b73, 0x3057a629, 0xf31d4811, 0x067ab134, 0x87d269a2, 0x1c50049b, 0x8eeeab06, 0x9d5a8ca0,
+    0x4ca3d584, 0x6b6c5368, 0x413a1b29, 0xbf9c551a, 0x49ce0cbe, 0x11140553, 0xea797a2a, 0xd9163dc1,
+    0x854b792f, 0x64e3fa0b, 0xd87abe87, 0x361caf1e, 0x91c13e29, 0x971ff3a2, 0xe68b1a50, 0xd014456d,
+    0xc9d88c74, 0x4fe24c13, 0xa8c7fc78, 0xaeee37e1, 0x946d054c, 0x88425ac2, 0xe5319193, 0xf7e6bda1,
+    0xd4473f2b, 0x8086342e, 0x8968b232, 0x5147792e, 0x1ad6eff4, 0xd46a0f24, 0x33e3ff3a, 0xa93c24f7,
+    0x76e5eb02, 0x06e693d4, 0xf1e0c844, 0x840d091c, 0xe1645fb2, 0xc8f346ce, 0xc91aee65, 0xbf2a7078,
+    0x6c6098ae, 0xcebae4cd, 0x57b318b4, 0x8f18a11a, 0x41ed4d62, 0x15730ecc, 0x718774b0, 0x556ef0a9,
+    0x1b597a88, 0xebbaf704, 0x08c9239a, 0x683ff815, 0x531ab42c, 0x3df09989, 0xd3e60514, 0xa2f7eafc,
+    0x388904cc, 0xc128bddb, 0x853d8ed4, 0xfe72b5be, 0x1ce48593, 0xb1003443, 0xb9ae6c56, 0x8a90ed2d,
+    0xd68ef8b5, 0xc2abcd6f, 0xf598f3e5, 0x43e4c4bb, 0xfa1d5d9e, 0xbfd16009, 0xe88f2fe5, 0xdaba2d45,
+    0x211e3d95, 0x56d98cb7, 0x0aa6b601, 0xd4416984, 0xf8283b87, 0xbcc167dd, 0xe7e95d97, 0x170aed3c,
+    0xc8bc334a, 0x86e20ae8, 0x94ccd137, 0x61fe9dc3, 0x917690f1, 0x5a69abe0, 0x647ed1da, 0xc71c3018,
+    0x48e53eb2, 0xc16131d7, 0x5c90fde2, 0x85186637, 0x8453f622, 0x41c0222f, 0xc2a0298f, 0x970fcbda,
+    0x19d22a17, 0x3e0d02d9, 0x96e27d0f, 0x2a56fd2d, 0xd3ed25f6, 0xe3ee2b96, 0xb24b1b7a, 0xfc12c0da,
+    0x7bc9aab2, 0xf5ec8e7f, 0xde12c2be, 0x2ac83ac6, 0x0a119da3, 0x78891856, 0xa5aedd97, 0xcb968283,
+    0xde29697c, 0x03636699, 0xacb49d2a, 0x42266998, 0x43828367, 0xd55eea3b, 0x18cca0a8, 0x6ebf3326,
+    0x8723232c, 0x661155bb, 0x8c0e9ffc, 0xc6464cff, 0xce3affb9, 0x5dd385ad, 0x8340070e, 0xf1dac412,
+    0xe44aced9, 0xc46cd9dd, 0xc2e9e125, 0xc7f45fc2, 0xdec304c6, 0x05b8298c, 0xd8b569f6, 0xface756b,
+    0x78b9d3a8, 0x82d1947b, 0x056eadeb, 0x1fb226db, 0xaa23d125, 0x87922aa3, 0xe34a32cb, 0xcce6e3ef,
+    0xad856fed, 0x396140bb, 0xb473110f, 0xa067af78, 0x1fd6f30d, 0xf3b3044e, 0x1cc3dd39, 0x2048f1c4,
+    0xe09c0e8d, 0xa4bf220f, 0x3bdfe777, 0x4a72c4b7, 0xe3dab23f, 0x2affe5ef, 0x857bc24b, 0xb77d7ab4,
+    0x86962933, 0xfe599930, 0x1f0bde26, 0x58fb997c, 0x5bff15bd, 0x5a1e33cc, 0x09c50d7e, 0xa4e1b639,
+    0xa48b133c, 0x09a493e2, 0x2ff88745, 0x93720dfe, 0x1d799463, 0x4a684e55, 0x5e19d844, 0xca3e4fec,
+    0x7730c117, 0x616c2461, 0x6792fb40, 0xa5040e09, 0xfdba118e, 0x640b2872, 0x649a7d9e, 0x341e978e,
+    0x5ac421e0, 0xe37e4315, 0x506b423e, 0x020c173e, 0xc011f7b7, 0xec807a52, 0x13cc1b2d, 0x8786d6b6,
+    0xc7923938, 0xad2cf7bf, 0x806daba2, 0x0ccb3e2c, 0xd539bc35, 0x62784448, 0xa2194e00, 0x92109613,
+    0x1a891385, 0x54a45ba7, 0x48cbd047, 0x51e35152, 0x2f92a5dc, 0x8e32995c, 0x94d969b9, 0xa845bfc6,
+    0xb56cde1f, 0x72699dc1, 0x72c7b05c, 0x0423990a, 0x3bc3c997, 0xcab9a5f0, 0x33eeefec, 0xd36fce30,
+    0xe2b0f114, 0x8236795e, 0x132bb1d2, 0xb3096f14, 0x82adec44, 0x54006990, 0xa35243c6, 0xb9cf78ab,
+    0x5ba6617d, 0xcc7b6b65, 0x6c729d0b, 0x296249a7, 0x833f8c86, 0xa30e4a4b, 0x83666f15, 0x7f43e6df,
+    0x3a7118da, 0x225d7e8a, 0x5fc9960f, 0xd9a2b2d7, 0xe3878f40, 0xfa01e6de, 0x8abd2dc3, 0xad1a274f,
+    0x4354bf17, 0xa6b5ea96, 0x0db60807, 0x3555135d, 0x0a957b0c, 0x9891a203, 0xa1fac01a, 0x226ed705,
+    0xa82debd5, 0x8096ea7a, 0x078637f8, 0x57324d34, 0x34d6ba6f, 0x5058e77f, 0x56e83025, 0x3b282397,
+    0xa96d0d4c, 0x5c39718b, 0xfdb54f53, 0x5c4df3f0, 0x0dd2e492, 0x04d72894, 0xd0eb7675, 0x7c559348,
+    0x7ea66b3c, 0xa6eaed42, 0x9c2d88ae, 0xca74ede2, 0xd7f22b10, 0xfbd415f4, 0x9fa8202e, 0x1692c9aa,
+    0x16f08546, 0x39443be8, 0x82df758f, 0xe3c28454, 0xff6c8f83, 0x265a5b00, 0x8f26870d, 0x24bcb236,
+    0x980f5f6b, 0x48e7f3e5, 0x45073fe8, 0xbfb81fce, 0xe8b0ec31, 0xe87a4ce1, 0x55eef56c, 0x82c81356,
+    0x5fb9bd2b, 0x88ab494e, 0x60f36483, 0x63673abb, 0x3ccaa6ab, 0xbdb203e0, 0xd04d0d7d, 0x422067d6,
+    0x8d83a7f3, 0x2d1961bf, 0x85fe4a0b, 0x1860dcf7, 0x6f3d849c, 0xc32e6bb0, 0xc367667a, 0x3a4d7148,
+    0x2d6803c0, 0x13c5284e, 0x1261c930, 0x759b3485, 0x0465ed2b, 0xe841a58a, 0xe1307cb6, 0x9e5b0e9d,
+    0x49ca1a63, 0x551dd774, 0x415ec256, 0xc0648d93, 0xd56e5bba, 0x1eea5672, 0x799fd508, 0x9a31cba3,
+    0x09e2e747, 0x5c0511d1, 0xe73a02e7, 0xf4b5724f, 0x230b5a00, 0x0d7bed4e, 0x05849ffb, 0xa4df169e,
+    0x810694b7, 0xd2d53d1d, 0x2c08c1ea, 0xda3b5b22, 0xe31bbbf6, 0xad2de23a, 0xd010dd44, 0x4bfbe812,
+    0x95ff4aa5, 0x3a8254d8, 0x4a961fa8, 0xa3d7514b, 0x1e90449f, 0x1868e02f, 0xc15bef0e, 0xec00680b,
+    0x26575a89, 0x388ea585, 0xd2424068, 0x4858d374, 0x70c08cc3, 0x3028c591, 0x164a887f, 0xa0ac4867,
+    0xb5055d5b, 0x1018e60c, 0xed4d739a, 0xed9fa95d, 0x45b71560, 0xe159a67d, 0xbee5bfc4, 0x9ce04551,
+    0xa05221af, 0x55faca9d, 0xd41952a5, 0x5b859c1e, 0xcd0eeb23, 0x272495ab, 0x37037aec, 0xcb9ebcf2,
+    0xa84e06ae, 0x9dcc235d, 0x7a499ce8, 0x90aff046, 0x03138235, 0x4b6d5583, 0xd0b525b4, 0x1de18fe1,
+    0x29d76124, 0xff0a4fb8, 0x9c804bed, 0xc87f745e, 0xb7a45459, 0xdc6f626a, 0x04242bd4, 0x4b5bcbfb,
+    0x6fcfa046, 0xb81cf5d2, 0x3f42d3ff, 0x1695333b, 0x11ac1d4c, 0x38d5d2e1, 0x868b1cf6, 0x3e6a3994,
+    0xba43f555, 0x176cf8ad, 0xdb846f18, 0x8ab8caa8, 0x430ba057, 0x8b47b81c, 0x054b1620, 0xd4be985a,
+    0x49074a1a, 0x0f707c43, 0x485197a6, 0xca78d883, 0x5d44f8a1, 0x8ebee411, 0x5a4e8dfb, 0xe52ac599,
+    0x3bf06e89, 0x3b897977, 0x116cd922, 0xc6e641ad, 0x5ced13f8, 0x9f58bb32, 0x656938fd, 0x408d11ba,
+    0x4fb5f75a, 0x2d32f5ee, 0x5d98435a, 0x94141d38, 0x4ad9326a, 0xe2a49e70, 0x906721ee, 0xdd1d3ffc,
+    0x4b8970fe, 0x5629c104, 0x765a66af, 0x2f90a53a, 0xc04d687f, 0xd943c749, 0xcf3a363d, 0xeeb74708,
+    0xc4b79175, 0x9189d869, 0xe06712d0, 0x2bc26438, 0x9ec694ee, 0x752e6ce7, 0x0bb2256c, 0x45f53f93,
+    0xdc65383f, 0x1d314198, 0xca0da0af, 0x2d811cee, 0x3a1a1c8c, 0xda668569, 0x8d672e4c, 0xf175bec5,
+    0x6d92624e, 0x4544c5d7, 0x2c3f71e1, 0xd8f5a218, 0x9676737d, 0x681b9b59, 0xda8e01cc, 0x700b984c,
+    0xc8639afc, 0x620c3d04, 0x299a09da, 0xdb8352cf, 0x49a49190, 0x84c9d39e, 0xb1027fef, 0x37239a4b,
+    0x349f29ec, 0xe395fbf3, 0x32138a6d, 0x78c7dbc2, 0x75a93ce8, 0xe221ca47, 0x09e411b1, 0x899e92d3,
+    0x7e9bddaf, 0xbe98287d, 0x585efdda, 0x9cd9159b, 0x4365a6c7, 0xb987c173, 0x92e284d9, 0xcef3d1a2,
+    0x3408bd93, 0x5bbb727c, 0xf50f181e, 0x0762caf5, 0xa73895a1, 0xfbe29350, 0x2ac09477, 0x24aaec13,
+    0xd4ad99bd, 0x5a43f384, 0xf124d100, 0x404574f4, 0x09e3c572, 0xc7f3e99c, 0xea72bac6, 0x80032432,
+    0xbe6bbf7a, 0x1c25df6f, 0x99126579, 0x26625dd8, 0x87d4d69a, 0xb22d81f4, 0xf8df5ac5, 0xa992bbd6,
+    0x564ce231, 0xba7e9b8d, 0xfd2f75aa, 0x9b4d83a8, 0xa56eb344, 0x475ff4e3, 0x90c6b2a3, 0x8c3e3d33,
+    0xc4cf99bc, 0x9b220394, 0x4883d9bf, 0x993ad710, 0x8358c091, 0x5ffb851c, 0x20efa27e, 0x6df35d6a,
+    0x95a36d56, 0x59bb69fb, 0x499fd7c9, 0x315008ef, 0x9a88e80e, 0x53799ee1, 0x4f23e3a6, 0x2ec8bd37,
+    0xefacb322, 0x189e0c87, 0x72b04ec9, 0x176b101d, 0x863b9878, 0x5155daad, 0xea6d3080, 0x88452423,
+    0x4544a37e, 0x73744684, 0xa6e63344, 0xc5407066, 0x620543d3, 0x0cc8f9cc, 0x73c54eed, 0x1ff69312,
+    0xc00d637f, 0x846e39d5, 0x1d2507de, 0x900b51ad, 0x58d3aaef, 0x2efca8be, 0xad8be792, 0x0c422536,
+    0x3394a7b2, 0xb39a50ab, 0x29e4f2d8, 0x3c9a0c9d, 0xf595935b, 0xc3e31179, 0xe2122611, 0x7f629d8a,
+    0xe7d0e1f7, 0xc5f25546, 0x838c0f87, 0x92865090, 0xff22753e, 0xc67f02c7, 0x3689d258, 0x9fad282a,
+    0xda7d9756, 0xc0325ff1, 0x294b9db3, 0x8f81e5a8, 0x62deec31, 0x0519b18e, 0x3b46ec50, 0x06a531ed,
+    0x7741478a, 0xfd315ce5, 0x6d8c3aab, 0x39bd5ad4, 0x73b0ffaa, 0x0b19d79d, 0x864eb9ab, 0x96cad486,
+    0xc908cf31, 0xba9d2326, 0xbca7c4d5, 0x472280bb, 0x66b197e1, 0xfc1722d2, 0x451bc67f, 0xbbadb84c,
+    0xe7d266d8, 0xbea938b5, 0xb12912ed, 0xaf7a995e, 0x6f8298b4, 0x8454e9b0, 0xc21c4bff, 0xea38d5a7,
+    0x557fc46c, 0xb152691b, 0xa6c4fcba, 0xc8e31847, 0x2287412d, 0x6c33b0ce, 0x46532862, 0xbadc7a7f,
+    0x0d2bb91c, 0x177344ce, 0x5d54e16d, 0xde0abf26, 0x087ac470, 0xb59e9de5, 0x8e3d2441, 0x63170076,
+    0x74f142e4, 0x5b910b49, 0x1a20454e, 0x8280423e, 0xdf3781bb, 0x9a5ea6ec, 0x77579321, 0x6977cd65,
+    0x60490eac, 0x0ece7734, 0xf5d2ac72, 0x43914743, 0x11debdc1, 0xedb0ee18, 0xc0bf4e40, 0x6dd444db,
+    0xb555fb10, 0xeae3a92b, 0xd5797802, 0x63b8677d, 0x07262841, 0x27ba24bc, 0xb2ec83be, 0x5b234387,
+    0xd34e7a61, 0x7b9abc6a, 0x56eda113, 0xf8d561cf, 0xe520c47e, 0x1f14ca0c, 0xc8239386, 0xb644d8d1,
+    0xee597aae, 0x8842fcbf, 0x2ee4f1f0, 0xda661606, 0x975b54fb, 0x54de2828, 0x22fd2d07, 0x88ebf661,
+    0x3dd33f6e, 0xa77bcf7a, 0xd8f39199, 0x35889270, 0xdf0dfc18, 0xdb45e7ac, 0xc2c65884, 0xbda06139,
+    0xec516486, 0x51322796, 0x71a5611d, 0x3e2b78fe, 0xd9112987, 0x2e566633, 0x5f5bc7f6, 0x68be2bd8,
+    0x14ee6c4e, 0xebf7a9e8, 0x27957cf1, 0x2535d8aa, 0xa3220d13, 0x231fd8d2, 0x2e3599b3, 0xab2c4199,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000431359146674410236714672241392314090778194310760649159697657763987456 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d2, 0x36d5900f,
+    0x00000000,
+    0xa4a03d37, 0x3958687c, 0xe3a23dbc, 0x94036b63, 0x05a22e50, 0xd88f7e95, 0xa38ce74c, 0xca75469d,
+    0xad134f7d, 0xd03cd002, 0x7a99d63a, 0x164eeac6, 0xfb65011f, 0xfd2343d3, 0x97e75ca6, 0x1e261852,
+    0x897e4089, 0xb07bf560, 0xd35e3bc7, 0x4d587e3c, 0xed407e5e, 0xdac81194, 0xac482716, 0x18620f19,
+    0xb95d56b0, 0x09bd99e8, 0x12032c14, 0x467a66cc, 0x895b269d, 0xa38f5d24, 0xcae0d723, 0xee7ae28b,
+    0x24591f18, 0xca632082, 0x08dcbbf3, 0xfae54668, 0x65eee38a, 0x349cefad, 0x57576c3b, 0x41c08e75,
+    0x13bd5184, 0xc803ae0f, 0x7ed4a427, 0x8b7d59e8, 0x46e14462, 0x89f877b8, 0xe20e9929, 0x6c7234d2,
+    0x6642db60, 0x6635ddfa, 0x774feb6e, 0xb613b7d5, 0x86aeb639, 0x0e21d088, 0xf3a82dcb, 0xa804e3de,
+    0xea65ea72, 0x0ea221f6, 0x9d3a2dd6, 0x5c5076f6, 0xd84ed983, 0x756c0461, 0xa0f20bec, 0x1e3ff332,
+    0x5752a632, 0x9e423d6d, 0x512d2adc, 0x8d8bf90c, 0x89e66f2a, 0x2af969dc, 0x750f603e, 0xe0b1af6b,
+    0x47122ae1, 0x689072a1, 0x6c082643, 0x57786d8b, 0xc08f6d11, 0x6dd8ed43, 0x91c174de, 0x5d7cb55c,
+    0x6337905c, 0x10d9b938, 0x6309433d, 0x44cd10e4, 0x88809560, 0xcaf47c76, 0xf3c082a8, 0x875cf1a5,
+    0xa89ff283, 0x3e65e24d, 0xc6875876, 0x5cdc377f, 0xbc3dc66a, 0x0774dafb, 0x25565049, 0x61c96ab2,
+    0xfa783685, 0x987631d6, 0xdb673a27, 0xb34700ff, 0xcc9c8295, 0x5fbc94be, 0x01ae0a21, 0xfc5b32bf,
+    0x801fd41d, 0x9073630c, 0xe4cc4a11, 0x25bc695d, 0xbda01e2c, 0x32a70f70, 0x192c38af, 0xb4f307ea,
+    0xcd28dff6, 0xb4c37287, 0xca4160c3, 0xcc04690d, 0x5a3da0fd, 0xd50fa7a2, 0xf58cc14b, 0xf8e5d87a,
+    0x1a94a0a8, 0x1f5f7f18, 0xd6468db0, 0xf7609866, 0x1694bd4a, 0x275eac6a, 0xe8a875e5, 0x38d12f2a,
+    0xef2a08c4, 0x0e2f9087, 0x869dd32a, 0x4e2af40e, 0x497ddb8e, 0x46d8d1b1, 0xfac8632c, 0xa3a80f0c,
+    0xfcfdd706, 0xcb0af357, 0x93b91f6f, 0xa436bb6a, 0xaf08bbab, 0xb12ce53a, 0x14e94d55, 0x8fa4ea4c,
+    0x891eca6d, 0xf270f2a1, 0x81afc3f8, 0x692169d3, 0x654f1941, 0xbb9d9e8b, 0xcda9ad8e, 0x475ff537,
+    0xa04a26e0, 0x156c88db, 0xd0890c4e, 0xa47700e5, 0xa6db70eb, 0xafcb6071, 0x43866209, 0xd679a6a7,
+    0xdf5ad85d, 0xf5b9c199, 0x20ca5c76, 0x53ac91f4, 0xfab8f72c, 0xea541842, 0x710c8e74, 0x83347501,
+    0xa2585943, 0x695774a4, 0xfa59fbe4, 0x81b4e10f, 0x2040c59c, 0x2cf6bb98, 0x5d65a3aa, 0x1f0e848e,
+    0xe297a9bd, 0xbfb06ded, 0xb34ccc2f, 0x3b4d10ac, 0x3e730acd, 0x9b58c28b, 0x60edc767, 0x9cb625d9,
+    0x46450307, 0x6d7c4d99, 0x98549d0a, 0xf6a3c336, 0x8854c94a, 0x97fa5f35, 0x56918133, 0xad98ad8d,
+    0xd14e8bdb, 0x0f7b5676, 0xf1bdafa2, 0x38446ce7, 0x3ca38e8c, 0xe541e7ec, 0xf0c53019, 0x47463abc,
+    0xf8d026dc, 0x5d5d87ed, 0xf6bd3bc2, 0xc4d553ea, 0x24af95c2, 0x032e3eb9, 0xcc019b27, 0x25dac4b7,
+    0xc882bb80, 0x39b0048c, 0x0491ce26, 0x53cf731e, 0x3f35f4e4, 0x667cc43a, 0xfff1d2ce, 0xa974ed3a,
+    0x6ed211c0, 0x95261272, 0xe1b82b5f, 0xda461e2c, 0x265ea95a, 0x327b0b1f, 0xb81c3e1d, 0x997f6740,
+    0x1e954999, 0xbd628c14, 0xfc6ec7db, 0x4bc6f03b, 0x41b95d84, 0xccd3a778, 0xc059b800, 0x892c43ec,
+    0xfe52516c, 0x91dae01e, 0xb49507e8, 0x651525fe, 0x28f93ddd, 0x216ddfc3, 0x46585396, 0x692c9b09,
+    0x4aeca472, 0x237753d1, 0xacf888bd, 0xc087cb1e, 0x78b6708d, 0x359a18ed, 0xa9561710, 0x6a592bf2,
+    0xd9fb1e02, 0x08e35c30, 0x429bdad6, 0x8f66557d, 0x78310d81, 0x6e12eed5, 0x17eb7161, 0x3d00c52e,
+    0xcd61d32d, 0x22cc20af, 0x05d36478, 0x9175a6e0, 0x653399b0, 0x34c8d414, 0x5f832ac8, 0x8d5ed8a2,
+    0xbccf8163, 0xf42d1f53, 0x08426dc2, 0x463a5a4a, 0x1b40adca, 0xef4c84fe, 0x0db6cf4a, 0x907a8df5,
+    0x49c8bf6c, 0x61e1a137, 0x1386bd9a, 0x7b325dc2, 0x58a35700, 0x346b3a49, 0x6d805df2, 0xbb6bb72e,
+    0x8168bb3b, 0x2efad1c8, 0xc21d9d3d, 0xcc16875d, 0x1443cd18, 0x51f65d0c, 0x0e1490cf, 0x12d6c1ba,
+    0x47a32cf0, 0xaa8656e8, 0xe3082276, 0x38c80e1c, 0xd9900961, 0x7efe7d57, 0x40734826, 0xaa127f5b,
+    0x20a6629e, 0x679e3a71, 0xa2fc7a3e, 0x8d8772ac, 0x7bc1ae04, 0xb217521e, 0xe5fd2ef1, 0xcad81425,
+    0xa40f3d79, 0x9279344c, 0x08394639, 0xa8e26e2a, 0x6e81b238, 0x41be69f0, 0x2ee971b0, 0xb48c584b,
+    0x83533ee2, 0xb501c633, 0x2873884d, 0x3fa03cb8, 0xc7b1c134, 0x80f9e2ae, 0xc3213f00, 0x92f1f059,
+    0x16cf7e92, 0xb6fab462, 0xd88febb3, 0x8df64417, 0xce74304b, 0x39e6c72d, 0x524cc7ab, 0x18f2e889,
+    0x1d9d4a32, 0xe68218bd, 0x66a269d6, 0x5ebfa959, 0x6df53937, 0xd9d583c2, 0x1f238f96, 0xa98c5b4b,
+    0x3622220b, 0x6f941fa6, 0x743fdcc2, 0x945d9f80, 0x3620cc4a, 0x5d29ba1b, 0xfff06ac2, 0xcbe9478a,
+    0x13601d48, 0x2f30a86e, 0xe8f764cf, 0xf8314a9e, 0x928dee4a, 0x9a9d473b, 0x24307e6c, 0xa1b36c6d,
+    0x2ca8a7e6, 0x5ca2938e, 0xd692d04a, 0xec775b49, 0x4d2b16cb, 0xdfbe325d, 0x6568fe46, 0x903ffc50,
+    0xb7c0e08b, 0xc45115d4, 0xae76a040, 0xc46d597b, 0xa3b095bb, 0xccf5aeb5, 0x71d9dfbe, 0x2df03ac1,
+    0xb7963835, 0x3848985f, 0x34320c02, 0x15cff7dd, 0x43ea31fa, 0xeea9b317, 0x24094ee0, 0xb15a6975,
+    0x8004ee42, 0x3d3ada11, 0x6d18ac92, 0x1231bb6f, 0x3b4e8605, 0xf5edaccd, 0xe08421d0, 0x4fe851af,
+    0xf0c8708d, 0x3e3e3456, 0xf4ab61c8, 0x1706770d, 0x6880a11e, 0xb067693f, 0xf8883117, 0x62985945,
+    0x8b277f5a, 0x1be0c73d, 0x8e7c279c, 0x5964a122, 0x29701e5f, 0x09e3ba3b, 0x7bdb8412, 0x0a03dfe9,
+    0x55e61d72, 0x0290ca8e, 0x789d77cb, 0xaac08dbd, 0x66accf65, 0xa300bf48, 0x1199d54a, 0x989904c3,
+    0x0823a27c, 0x9701e953, 0xa43b61b2, 0x8c27b504, 0xe624669f, 0xda2a1047, 0xe9a7c203, 0x7bef2236,
+    0x7b093907, 0x70e5c9c2, 0x136ce129, 0xeed1f492, 0x5f5125a5, 0xa1fda490, 0xba390a04, 0x14cd5b2c,
+    0xe1b533aa, 0x4e7a4e53, 0xd79ec736, 0x011d490e, 0x79d08f08, 0x33a9dbba, 0xe2103f09, 0xcdf6d7e6,
+    0x1f5540b5, 0x2648fd97, 0xb800bbf6, 0xc42617e3, 0xd73c2228, 0x12680a25, 0x285e07d2, 0x45b9730e,
+    0x76494881, 0xeb5573a8, 0x47cb8ab1, 0x8df26a87, 0x450ac0b5, 0x491cb3f8, 0x542e6ba8, 0xfcee51eb,
+    0x947d6f1d, 0x9f30d96c, 0x5c7f7148, 0xc54c57bc, 0x7180e2d4, 0xd5fcb424, 0x4289aa1f, 0xa8a7548e,
+    0x06a716b4, 0xbceabb82, 0xd7fea344, 0x1c235e3a, 0xac8c1946, 0x1d3cf6d0, 0x476df0c1, 0x29faec93,
+    0x101d7db8, 0xf3325d92, 0x0a464624, 0x24385db4, 0x05a04b72, 0x4cdf349b, 0xf5d0e9cb, 0x868fa421,
+    0xce2efabb, 0x6022b9ad, 0x01cd4f49, 0x3989222b, 0x2ffb5061, 0xe8e0f49c, 0xa22cd5ea, 0x837e7571,
+    0x8df61895, 0xcccbe68a, 0xa146d7b4, 0x0494666b, 0x23d48261, 0xcbbb6f69, 0xbccf824b, 0xcc53d3e8,
+    0x276787c2, 0x665531ff, 0x918b975a, 0x678806fc, 0x74a668e6, 0x79d66a95, 0x536707ab, 0x1cd15a07,
+    0xa5f762cf, 0x96edf6d1, 0xcfe8c6cd, 0xb4467229, 0xa38d5cba, 0xcdd5ae37, 0x6ca2a630, 0x041154cd,
+    0x00c84aae, 0xaf952943, 0x05678b7c, 0x8aefb385, 0x37a5323f, 0xb2aa4f50, 0x910eab1b, 0xb0ce57b2,
+    0xf92cf731, 0xd00cef99, 0x58fc556b, 0x25548e95, 0xfcb937c9, 0x0f1bf5e4, 0xc2f879b3, 0x1155eaea,
+    0xc64eeca7, 0x11067719, 0x5b74db08, 0x642559c1, 0x66ae540a, 0x225ddfc6, 0x85c79818, 0x72770442,
+    0xfd5bd4a0, 0x360dfc9d, 0x6ba9e177, 0xbeb374dd, 0x116cff55, 0x7bbc9746, 0x70c8a2b3, 0xd7e8b5ed,
+    0x699ec7bd, 0x8dbab343, 0xa2f42ad9, 0x239b6b9b, 0x8b9b6d79, 0x606e7ce3, 0x4627363a, 0x37d6ecfc,
+    0xba7ef3b6, 0x2572abe3, 0x08239a4a, 0x76cbc317, 0xd58292d6, 0xd953fdd1, 0xd4033907, 0x44a45f98,
+    0xf6f8b4ba, 0xb52f6368, 0x622323be, 0xe1219f27, 0x9d311df7, 0x059a2884, 0x546a85e7, 0x59037da8,
+    0x78d37d29, 0x789bc9ca, 0x1203430c, 0x4107654a, 0x612026fd, 0x3f1faeba, 0x18cfe951, 0x80854b97,
+    0x97dcaeb3, 0xc5e8309f, 0x0a1ff8b8, 0xcf23dd18, 0x19846520, 0x33819218, 0x2d2d51fb, 0x1517ccef,
+    0x6774d5e9, 0x0404a1b5, 0x48b5067e, 0xb5957bc5, 0x9d99ba88, 0x93d1e1b3, 0x78429b61, 0xa2e20d92,
+    0x46b32ac5, 0xdebc2035, 0x483a0469, 0x9a942d4c, 0xf0190f74, 0x1d837c6d, 0xe3065ff0, 0xe552f17b,
+    0x5399d025, 0xb64cd9d2, 0x69b4e653, 0xbf028fe6, 0xb148c89b, 0x7f593641, 0x3182ff73, 0x86b79f08,
+    0xa21f69ae, 0x4c00326a, 0xf4c8e2c4, 0xcac9eea6, 0x4970f3ad, 0xf29290c5, 0x25b3c077, 0x13e086da,
+    0x762413e1, 0x370ff3a4, 0x0d1a82ba, 0x99949629, 0x33273017, 0x2af32a72, 0xa113d32f, 0xed301f1d,
+    0x63a789f6, 0x3dcc7257, 0xd606a725, 0xb32979d8, 0xe6f6492a, 0xbab05e65, 0x241df19a, 0xc9a45d25,
+    0x2bba858d, 0x0f4c521c, 0x1ef7620e, 0x1197cf75, 0x9ebb0c51, 0x22ff2a90, 0x73ec0813, 0xeb8ed39b,
+    0x3dfc349d, 0x3e7493d5, 0x071bf700, 0x7cb1d10b, 0xc22c2627, 0x5312fb14, 0x666a647a, 0xcc0a4ed3,
+    0x567425b8, 0xb3d8feec, 0x2bf25326, 0x838593ec, 0xc6194bbc, 0x4c07943a, 0x8550a195, 0xfe0f018e,
+    0xbc525ce4, 0xf7dfaef9, 0x6ce75a34, 0xe6084a5b, 0x5f9b6ca3, 0xb41d67b6, 0xe79b03a0, 0x9151e061,
+    0xdd41c015, 0x1816fbff, 0x70e32c7f, 0x73d28193, 0x77c97931, 0x0a74e1d5, 0x99eaf09b, 0x8c0afc7d,
+    0x2d727094, 0xd07c580a, 0x08ad939b, 0x09a4ced0, 0xf39f2561, 0xff4f6fb6, 0xf5f77000, 0x82e9ed39,
+    0x23e623b6, 0x375500d6, 0x45007819, 0x4f49b866, 0x3b2cc554, 0xc0f8c395, 0x1cbee75b, 0xc9d80fbf,
+    0x06be7ae1, 0x4a45e2a9, 0xd066c572, 0x6456e3bf, 0x9299d41c, 0x7b258605, 0x788f2b7c, 0xf7318dcf,
+    0x07b58a70, 0xa634fa32, 0xf3e7762c, 0x7bad4b81, 0x03da3de5, 0x43f757f3, 0x229ad357, 0x0c348cde,
+    0xfdac7ba4, 0x7cfafbd1, 0x4b8f84a9, 0x70f77dad, 0x939aee1f, 0xfc22c843, 0x90c1b86f, 0x7cdd3b16,
+    0x85b505da, 0x321a4719, 0xc4692e3a, 0x8ef86ee8, 0x3ad6cf44, 0x542b3aa9, 0x3638a800, 0x1a09def9,
+    0xb1114b1b, 0x016214d7, 0x8e3873d4, 0x034ee511, 0x66b8d21e, 0xf22b150d, 0xbc4fdc0c, 0xbd67e918,
+    0x782fc70e, 0xa46f3542, 0x1e2caca0, 0x1d2c1727, 0xce179b7e, 0xb545f244, 0xeeda655c, 0x972e306c,
+    0xac1d8196, 0x9fb2c0f7, 0x3123646e, 0x4c2b16fd, 0x79e43f2c, 0x63bcf3cd, 0x899b9d89, 0x0847fbc9,
+    0xe7221a66, 0x8a9fa76b, 0x7175cf56, 0xd8707435, 0x9542fc11, 0xc73c0e77, 0xe84900ce, 0x297b6b41,
+    0x44da6c81, 0x4b1d0dd1, 0x63732662, 0xbb4f0c9b, 0x2b9e6644, 0x5ddda63c, 0x7f2f71e8, 0x27457112,
+    0xf6ca9966, 0x8cf36a2c, 0x3a3de3f3, 0xec6dae37, 0x23a5ddc9, 0x521f5c56, 0xf928c9a1, 0x643964c6,
+    0x9deac6a2, 0x0cc1bdf3, 0xf1488d66, 0x9cc36432, 0x4ead1037, 0x2f89c474, 0x80aabb50, 0x3732b08b,
+    0x885db29f, 0x48358984, 0x2948aa39, 0xf5308730, 0x5d985a22, 0x9d9df9d8, 0x37d0a4f1, 0x872dd024,
+    0x1a05cb2d, 0x0c3f9703, 0x79be2769, 0x5c5a52a3, 0x7bb05da4, 0x82fb8943, 0x6dc8a7ed, 0xa2b45c24,
+    0xb9b974cf, 0x7798e3eb, 0x20fd0727, 0x4f5f18d7, 0x3bd48ca5, 0xb3ad8010, 0x2f7a5745, 0x4154749c,
+    0xd2841512, 0x1b32e794, 0x66953d2d, 0xa1a2d316, 0xafd7b11b, 0x436ca302, 0xcfadde68, 0x20018b94,
+    0x03c3fe34, 0x84a803c2, 0x5b0b9cc0, 0xc2ca8889, 0xf3030ae1, 0x852a16af, 0xeb49c351, 0x3b220d5f,
+    0xb702b0ef, 0x381815a9, 0xe96e9feb, 0xb3ae5572, 0xe7abcbff, 0x4b5b343a, 0x2b091abc, 0xec9c3a27,
+    0x112811df, 0x8c3b3b75, 0xc45d4fa2, 0x08984f51, 0x0f988ea0, 0x85a99a0b, 0x7caeac43, 0x599659c0,
+    0xc2d7f976, 0xadba9a2f, 0xbe617d28, 0x180720ec, 0xd649f0f3, 0x1459ee71, 0x71d32ad3, 0x91a83682,
+    0x9caee253, 0xcf3d1bfc, 0x659c9894, 0x3759c4f2, 0xa8ecc8ff, 0x8509c4c4, 0x4324fd2a, 0x8ec6ef6a,
+    0xfe90baed, 0x96d5d0d6, 0x09c0ebd4, 0xfd883a95, 0x9e91fbc7, 0x46341b6c, 0x8c5502c7, 0x8e5a6682,
+    0xe56e55a2, 0x626b6270, 0x21249fed, 0xdf91d49e, 0x32b1c2ee, 0xf0438b4f, 0xfd566981, 0x6576f8b5,
+    0xe3869d68, 0x50fa0bdf, 0x18bab935, 0xf225101a, 0xd00669ad, 0x8ac169b5, 0xd4b926a0, 0x3977a5f7,
+    0xeed29f9b, 0x400a049d, 0x0986bd96, 0xcb4ff121, 0x05dbe4c7, 0xabc5e7d9, 0xada32c3c, 0x68f32f4f,
+    0x76830786, 0x05cf4396, 0x39ea04fa, 0x15a80319, 0xe783c865, 0xe64cdda5, 0x877cebc8, 0x9c4b8c3c,
+    0x2b5cbcda, 0xd780c102, 0xe4b6e912, 0xdfb62812, 0xbadbd144, 0xf60c3faf, 0xe633ab7c, 0x6158a3ef,
+    0x32bf40fd, 0x5b1732d9, 0x4a6891b2, 0xcf1f96fb, 0x179b77b0, 0xd4fe1142, 0x2c64e6e8, 0x9fdb6d40,
+    0x97a7a3ce, 0xc2658115, 0x55dd3b09, 0xd5a86584, 0x9197655c, 0x7eb24b3d, 0x53f403d1, 0xf3d24d99,
+    0xfe0d007f, 0x86f3dee3, 0xc2fa4e19, 0x61bb8c11, 0xc1a0ea30, 0x66a4ad67, 0xf27c1a36, 0x49788cfc,
+    0xdd423e47, 0xf5a4bae4, 0x66d263c3, 0xf0a832e3, 0x68237fa6, 0x98099403, 0x42f902ac, 0x4f7a4edc,
+    0xc42300dd, 0x5491a884, 0xa5ba94cf, 0xd56383a0, 0xd418e97d, 0xe03f46f6, 0x425b5d96, 0x71a11d68,
+    0x7a3afeec, 0x93825924, 0x987ee63d, 0xb0b17967, 0x3c40a4b9, 0x262a56c8, 0x7f840860, 0x2b40d7a6,
+    0x9b55f659, 0xdb5142e5, 0x376eb56f, 0xb5bccfa5, 0x40eac0ff, 0xa27c2eed, 0x554c1335, 0xa22c6a01,
+    0x33680305, 0xbc22052e, 0x814bd541, 0x24b66624, 0xe5fc7e9f, 0x44b75b08, 0x1add3acb, 0x4a239b40,
+    0xf646d174, 0x2d9ef42b, 0xc85baa28, 0x757c5873, 0xdd2cb54f, 0x78e83f53, 0x41688f59, 0xd0a81da5,
+    0x02c04fee, 0x3f270860, 0x9560bd8d, 0x0af38e54, 0x23783baa, 0x43645e88, 0xb5ff68c5, 0x151191bf,
+    0x3f99b14c, 0x63284829, 0x08376302, 0xe37a94dd, 0xc280d1f9, 0x46434272, 0x789fb0d5, 0xfe5faef2,
+    0x686316d3, 0xc766f08a, 0x26dd77b5, 0x5ab497aa, 0xf10ea31a, 0xb0a12a9b, 0x9cb0c4da, 0x97f5e26d,
+    0x0f203fd1, 0x89369f4d, 0x6fb5d311, 0x5b7bad46, 0x1b190c25, 0xe71191d8, 0x0fc46836, 0x4a0a2035,
+    0xbdba0c29, 0x16e2c0a3, 0xea41f29a, 0x6ee4a7ee, 0x480eaf57, 0x31d66d91, 0x6d0296ee, 0xe9663bfe,
+    0x30083ee2, 0x1c9d0ea4, 0x01fdfcfa, 0x174d3edb, 0xcd8a19c4, 0x5483cb6a, 0x4cfbd5c4, 0xdf60f089,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000215679573337205118357336120696157045389097155380324579848828881993728 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e9, 0x1b6ac807,
+    0x00000000,
+    0x91299269, 0x63e8e404, 0x1c964fe7, 0xc2ccd0d0, 0xc126a66b, 0x147a08c2, 0xe3cf7443, 0x581c4696,
+    0x5511becc, 0xe00c805d, 0x8546fcd6, 0x544c3a1d, 0x4d0b595d, 0xb7d67ec1, 0x62c1cc35, 0xc46e9040,
+    0x5921fa8e, 0xde1a9c73, 0x83ef409b, 0xeaf290cd, 0xbb8ccd40, 0xb4495163, 0x5793dbf9, 0x8ab3b63d,
+    0xdafe1adb, 0x1687e526, 0x5fd0d7f9, 0xddedf923, 0xfa48c9ea, 0xe043247b, 0x5356b4b5, 0x88d5cf47,
+    0xf26a7357, 0x56487fe6, 0x82170d1c, 0xecd1eb5f, 0x6a6b5b8b, 0x2c344ffb, 0xfd15856e, 0xb401868d,
+    0xc64aae83, 0x83c39920, 0x6f8d7d38, 0x7a4b2ef3, 0x2a87d6dd, 0xbfa764e3, 0x036b00b4, 0x639654cf,
+    0xc629b4ab, 0xa0c3c8e3, 0xf7d46ba7, 0x01b318a9, 0xc3601b03, 0xd36d8741, 0x43e67c84, 0x07888a00,
+    0x22669265, 0x432fbe6d, 0x1cf5eb77, 0x19abac1a, 0xd5b535c3, 0x926101eb, 0x38d380c6, 0x2b26ec66,
+    0xf079f884, 0x0087951c, 0xaf04b0a6, 0xa9601edc, 0x4e4ac250, 0xd8b32713, 0xd2222797, 0xfe4228b2,
+    0x60785f3f, 0x732957e5, 0x6d7c4b52, 0x7efff5b3, 0x5f57d745, 0x39c6e455, 0x0d6dd965, 0x7f90a325,
+    0x6ba5a4b4, 0x7bc802d6, 0xae65b9f8, 0x90c75501, 0x78f9f832, 0x296391a0, 0xd444dba4, 0x7446c031,
+    0xfa3044d4, 0xe451e082, 0x15a42327, 0x537edeba, 0x2e7875d1, 0x775c8d22, 0x3aa5a856, 0x93963e88,
+    0xed0307af, 0x99b4c3d6, 0xeea20d93, 0xa9656a37, 0x4adf429f, 0x588795cb, 0x7ea3d2e3, 0x60f8c67a,
+    0xd429a9bb, 0xb94ea012, 0x87513091, 0x4c447f04, 0xacd5b99a, 0x28f8cb28, 0x198889f5, 0xd5c500da,
+    0x92c6b27c, 0xf5787501, 0x42f0c382, 0x2b9334d8, 0x32d753d5, 0x95f574f0, 0x29f7f449, 0x8e2e53f3,
+    0x8f8f9b12, 0x5e951d3a, 0xbe014c65, 0x691c3d07, 0xf1b47d94, 0x7df6e14c, 0xa4ad415e, 0xed509533,
+    0xa5c9b874, 0xcf0a2c65, 0x9d9d2986, 0x0211516d, 0x425d77e8, 0x0d846338, 0xef6e2a3e, 0x2ee988b4,
+    0x78128827, 0xacada0d4, 0xea08555e, 0x00c97afc, 0x7dccd404, 0xc0acb95f, 0x49f66997, 0x33137a14,
+    0x52eb890d, 0xf1817234, 0xd70faa94, 0xb8bd1b11, 0xdba52be3, 0x0dcd1ab1, 0xe3944305, 0xfe88b44c,
+    0x7d8b9fb8, 0xf8431a23, 0x3d335e0c, 0x3413227f, 0x2753be97, 0x565950cd, 0x2e3b1f6a, 0x57896f96,
+    0x8f3f7b76, 0x55a1afc8, 0xb12235dc, 0xf7a04f69, 0xd771c46d, 0x79fed201, 0xf19264fd, 0xe373e30c,
+    0xdb5f9e69, 0x93007d12, 0x3a40ab15, 0xd8609ed0, 0x56740ecb, 0x95cb5b1f, 0x1770a271, 0xb9295687,
+    0x1f51d165, 0x2ef16b90, 0xd446a10f, 0xb097972d, 0x978ba23c, 0xf8ac807f, 0xbf66e12c, 0x389e7055,
+    0x014e51e4, 0x2cbc2357, 0x96a2ba62, 0x1986a175, 0xbb1a30fe, 0x93d65edf, 0x913bf77c, 0xed96a25f,
+    0xb7b99e68, 0x38137752, 0x7a11cf86, 0x4c0424a9, 0xfcd2c398, 0x0107258e, 0x62aef6fd, 0x2e57da0f,
+    0x25beb788, 0x0c868645, 0xce1821b4, 0xc7348478, 0xb5738aea, 0xde77a5a2, 0xea116d80, 0xbbba4ea2,
+    0xb72bf97f, 0x86360efe, 0x237fbbb0, 0x37614dae, 0x67450d36, 0x8a9a39e1, 0xef7b27d8, 0x012e12fb,
+    0x3a4f908f, 0x6bffa5d3, 0xfc1ffe20, 0x5a71baca, 0xb7840463, 0xe5735ec8, 0x947aeb25, 0x531099e2,
+    0xb230b509, 0x771b1092, 0x550d7b74, 0xef9aab7c, 0x74352557, 0x437765cd, 0xf6a3bd02, 0x88e82793,
+    0x29205cf2, 0x9c0c65ac, 0x96f3b154, 0x2e74d584, 0x9a943301, 0xb7063b9e, 0xe853a2cf, 0x6db2c0b1,
+    0x307f3571, 0xc0d9e7d8, 0xc0fdfc1d, 0x8150e6ad, 0x28104887, 0x499887bd, 0x154a18c5, 0x974caabb,
+    0xe8c3d478, 0x30f42351, 0xb455e95d, 0x710674e6, 0xf6073b80, 0x07e99262, 0x9f9b3f9a, 0x1f89b45e,
+    0x681d0958, 0xea3d63f8, 0x3b3a4c06, 0x19893c9f, 0xe6eeb794, 0x8089ba3f, 0xdf7b2b85, 0x10c55e3a,
+    0x352529d0, 0x6fee5720, 0x92ef0732, 0x5910070b, 0x7d13ecd9, 0xf3b84363, 0xf92f0757, 0x8fe82016,
+    0xe3fac92a, 0x2da1cad2, 0xd9310f66, 0xffe2c659, 0x9124d9f5, 0x559cb392, 0x15f3e966, 0xfe96684a,
+    0xb0a4ad90, 0xe525a784, 0x0da79812, 0xe33fff27, 0xa82d2d3b, 0xa01d0b0e, 0x1dc2960c, 0x0f62ed1b,
+    0x9319b175, 0x765e96f4, 0xf2ae3ee4, 0x0456dee8, 0xfdaf6558, 0x93c99f1a, 0x8ba48065, 0x7eaabd9a,
+    0xa71cda58, 0x080d1ba0, 0x6c42c9c0, 0x3897107c, 0x3299f627, 0x55f494df, 0x298fbc18, 0xa002fb82,
+    0x643fe8eb, 0x9a47fe7e, 0x6d6cd191, 0x5af15a2f, 0x716c8094, 0xa1446d6d, 0x959dcd51, 0xfd9eb8f0,
+    0xe6bd1c4c, 0x508fc7b3, 0x1db20890, 0xaf805b5f, 0xb0adb9d9, 0x47feda65, 0xa5bf72ef, 0x799ae8af,
+    0x8e70215d, 0xb60721d0, 0x4b5d7549, 0x9ce27899, 0x1bf8509e, 0x4f96c6b5, 0xbf2bb633, 0x38da2e5c,
+    0x9799a4c9, 0x2915ca84, 0x16c045bf, 0x30f88009, 0x25f5786e, 0x37e49f17, 0xec1d9bce, 0x552e867a,
+    0x30e813dd, 0x119fd6b5, 0x37575744, 0x8052f51a, 0x98bdeffd, 0xca0374bc, 0xf29153f5, 0x6161b7ec,
+    0x82721fdf, 0x080a9898, 0x2d29ce82, 0xa4d83855, 0x7ff6bb86, 0xfb738d6e, 0xd82f81ab, 0xa1fd54bd,
+    0xdd6d86b2, 0x87b20547, 0x0f9b44e9, 0xaaaf12ff, 0x608b2df2, 0xd53bdded, 0xf12c0f81, 0x3fa92b37,
+    0xa26e5a62, 0x221c418e, 0x461efd1b, 0xaf55a87f, 0x09462455, 0xf26cd6b6, 0x18f80210, 0x07761c96,
+    0x315d5edc, 0x3f14646d, 0x1fec38d1, 0xa24ebb48, 0x055c3f65, 0xbeb644ba, 0x1b1888a8, 0xce308930,
+    0xe8b5257e, 0xe5ed538b, 0xa7ace929, 0xd397f1cc, 0x3021b622, 0xeeb9a8e7, 0x058037de, 0x938add21,
+    0x4821a9a2, 0x0a8adeaf, 0xeeaa965d, 0xe268897f, 0x0884f80b, 0xa272a408, 0xc48441c9, 0xe66d557c,
+    0xf650b175, 0x77bf13c2, 0x04af3a27, 0xe9f122eb, 0x2561e55f, 0xcd3c5f15, 0x4957f848, 0x916d9963,
+    0x74fdc077, 0x53f007a2, 0xa7e8ce7a, 0x7c572ed4, 0x14bd97c8, 0xb1a0fe8a, 0x7a7f0659, 0x73d63dca,
+    0xe687ac4c, 0xbf604b54, 0x389673a0, 0xfbd97941, 0x432ec9a2, 0xeed35164, 0xe8518986, 0xaee209d4,
+    0x2415a7d3, 0x79683f0c, 0xe069104a, 0x35da1971, 0x55e48061, 0x67487346, 0xe78bc1a5, 0xa7498630,
+    0x76c713f1, 0x92c5a7f5, 0x899ffb3f, 0xe2283429, 0x867a77dd, 0xa653a93c, 0xde75e51d, 0xc6809d43,
+    0xfad37594, 0xc56c3093, 0x8d901f78, 0x9f3ddfc0, 0x6d8e7bd9, 0xeb4675a6, 0xe3040adf, 0x6559f007,
+    0x11e58781, 0xd41d178b, 0x181c8800, 0x2012941a, 0x37ba105a, 0x4c16fee5, 0x72e0eef2, 0xa9504272,
+    0x538b888b, 0xe06b44fe, 0x11981f51, 0x1270090e, 0x84dd7166, 0x80b33eb1, 0x54cdedc0, 0x807062da,
+    0x11dd0ad9, 0x9e099962, 0x075997dc, 0xf3018d9a, 0xf6d4bae4, 0x7187daca, 0x60ac450b, 0x96f410de,
+    0x826be645, 0x0207d169, 0x163232df, 0x63405718, 0xfb5e1e1a, 0x2a145262, 0xc1aca3cb, 0xb6201177,
+    0x048a4770, 0x4c524cbf, 0x3438ed41, 0x98c743a4, 0x3a68e6bb, 0x56dac028, 0xc291fe61, 0x3bb2a902,
+    0x97a1ebda, 0x23dc497d, 0x5b774339, 0x41336786, 0xa7282922, 0xefb0db56, 0xc14cc8a6, 0xb903fb26,
+    0x98061bd4, 0x873bad2d, 0xa5c75c4e, 0x067e2ca4, 0xf76bd085, 0x23120ebd, 0x68d1aa95, 0x31234822,
+    0xcb7d06c8, 0xe8bcf04a, 0x4dde4168, 0x05239396, 0xc52610c7, 0x922538a7, 0xec4b30d0, 0xc75b64db,
+    0x06b5b443, 0xc98a5fcc, 0xf77d9b67, 0x5316f85f, 0x8ca44a29, 0x00d7817d, 0x9c2a588d, 0x1f30a98f,
+    0x64311eda, 0x974849d0, 0xa64ba2c2, 0x7efb6a11, 0xafd35e8e, 0xafe4dbb5, 0x9dddf818, 0x80d44864,
+    0x40b8cc79, 0x0f191db8, 0xe3bfc421, 0xf6dbab4e, 0x10d44cd9, 0x8c39414f, 0x299a8899, 0x8e8cc537,
+    0x1dae83ea, 0x8f7ffbdb, 0xcdba5d79, 0x5df4ff9f, 0x2d60bdaa, 0x42cc945c, 0xd00b037a, 0x9d259e46,
+    0x125a0f35, 0x2eee34f3, 0xef88cb4d, 0x0bec4221, 0x4f859f28, 0xdc240f1d, 0xeda870e7, 0x7ac1e92c,
+    0xe67b7cd4, 0xb93856d5, 0xe72ae78a, 0xdcd7bde9, 0xddaf899a, 0x2426112d, 0x43a875c5, 0xde75d83b,
+    0x0027c7f2, 0xcc565ebf, 0x4b1bce14, 0x949fc6d5, 0x7e4a2498, 0xfed03e42, 0xa7e41ed6, 0x028feec8,
+    0x7da07b8f, 0x15792ff0, 0x1aec28f1, 0x74c0ab9b, 0x70cb3b16, 0x31d58148, 0xeae060f1, 0x2afd4f53,
+    0x15a14f2f, 0x897acd65, 0x68bdb635, 0x0b332e7f, 0x6cb1dc26, 0xfdbfaedb, 0xf562ffe0, 0x5b0dba4d,
+    0x2617d08c, 0x5541cc51, 0xbe8b0485, 0x3132a436, 0x023a9471, 0xaae80e47, 0x169e18f1, 0x7dba397c,
+    0x2ed77c6e, 0x610c279c, 0x5eb1efc2, 0x937cf55c, 0x424ded80, 0xa1d2258c, 0xd20c84e2, 0x400e0f50,
+    0xbd09f620, 0x3b770981, 0x22ed347b, 0xc12438f8, 0x0f449af4, 0x586e1600, 0x2413066a, 0xa220b1ae,
+    0x93b06d4c, 0x632942bf, 0x35461b7c, 0x10f14bea, 0xa2510edc, 0x7de6d772, 0xffb03f59, 0x330bce63,
+    0xf62a14d8, 0xb27bfc98, 0x8942bc26, 0x33aa0cf1, 0xf3e70fae, 0x4e6c5a39, 0xe851e350, 0xf88b86ad,
+    0x053f8fca, 0xd2c83be4, 0x77ed11e6, 0x40496796, 0x1f612efb, 0x0177717e, 0x30a5a11f, 0x227aa63a,
+    0x49e51f38, 0x87336914, 0xd100d691, 0x6d9c6347, 0x2244632b, 0x46cf8285, 0x13f5f6e7, 0x0f4a3dad,
+    0xe9a4bc26, 0x5051a4d2, 0xb704f394, 0x56a67a4a, 0x60030a09, 0x66152ac3, 0xaba59595, 0x5fcc4f05,
+    0x47f3645e, 0xee0ec906, 0xfa555429, 0xb6f0f984, 0x96c27ad9, 0x987be183, 0x602038bd, 0xe38cf4a5,
+    0x36610511, 0x48540a6b, 0x7161bd29, 0x54f11a5c, 0xa6abfe36, 0x0e206cf2, 0xbceed40c, 0x8c071cfe,
+    0x60712dfd, 0x2572e6b6, 0x7cde49ac, 0xd0c651d1, 0x4b419b21, 0x2f145674, 0x194aab85, 0x96479f73,
+    0xbe793387, 0x13011ffd, 0x8aef99f6, 0xccac17d2, 0x9c3cdb72, 0x10be89b6, 0xb24c1139, 0x0a0668c4,
+    0x983233f0, 0x2fea4c18, 0xa56eddfd, 0xa5f3f8dd, 0x2f627b1a, 0x80eedb61, 0xbc2b7bf9, 0x08d64e77,
+    0x99b729a7, 0x145d956a, 0x3cb5482e, 0x544c7491, 0x9e6d58f2, 0x9978a516, 0x4f3e3475, 0x1c82391c,
+    0xe21c81f1, 0x1cabc986, 0x57cc9f52, 0xfd67ee2a, 0x9e05ba9a, 0x0e552b0f, 0x60c80315, 0xf5ddce9f,
+    0xd879d4d8, 0xfb1a57f6, 0x94a53e15, 0x2ad6d7c9, 0xae9e9d0a, 0xf94410dc, 0x3fe697e1, 0x83619a6a,
+    0x0146221d, 0x385e67ea, 0x2c4c425b, 0xd64e5054, 0x7863c35d, 0x6037888d, 0xd6ef78a9, 0x16c71b36,
+    0x25f7ea09, 0xd80cbef3, 0x517cd2e2, 0xee1760d2, 0x9e338884, 0x1a7fbc7d, 0x16e0e805, 0x7d2a7b72,
+    0x6d85d5f1, 0xc64ed6e1, 0x118c555a, 0x9aba4723, 0xf85f7a3f, 0xe78a1cfd, 0xf2045a34, 0x94e1d7d6,
+    0x1712e028, 0x1b1bc3e7, 0x99a7acbb, 0xb97309ad, 0x00b44b20, 0x08f57768, 0xce07f60c, 0x29d758f2,
+    0xe3d34f7a, 0x89458ff1, 0xb4ae15eb, 0xae20e8bf, 0xb1e07ca0, 0x16febe6b, 0x24c04d71, 0xeb9f12df,
+    0x88917c64, 0x1de107a7, 0x03dd7a11, 0x8b0826a6, 0x0fa2c744, 0x3b3953a4, 0x068baddd, 0xdc35dbac,
+    0xa53897ed, 0x3718d136, 0x653ea3ab, 0x47294665, 0x1d2910fe, 0x2471b3d6, 0x04d2dc66, 0xf3fcfbcb,
+    0x3d1ffb7f, 0x13d9e64c, 0xc6308e55, 0x13fdeec9, 0xc096cc18, 0xd186d016, 0x38e21cdb, 0x03dd7526,
+    0x7d9f1af3, 0xf5a38fc7, 0xc4df5304, 0x4e3df477, 0x6b7b9549, 0xbf9e35ee, 0xe21dbff0, 0x664e4bdf,
+    0x604e03db, 0xbb30d2e1, 0xadc09175, 0xd4882d65, 0x6c7e982b, 0xad436844, 0x3f5030ac, 0xfc67e29f,
+    0x95dc81bb, 0x70891af8, 0xc7d751d4, 0x2b2b0ea1, 0xdc20aed4, 0x1bb19974, 0x7df29c85, 0xcb6c2174,
+    0x2a36b0de, 0xa94c891b, 0x2c24bf84, 0x776dd44b, 0xd650045c, 0xaf317869, 0x2bea543f, 0xebe47de8,
+    0xb24f5d18, 0x1113656f, 0xf3acc019, 0xe9520cba, 0xe652bdfa, 0x45fb626c, 0x18a0ad64, 0xcb2f747e,
+    0x831cc936, 0xd769a4fd, 0x3886f31d, 0x96811f9a, 0x82ba09f3, 0x59e5d841, 0x4a53a1e2, 0xb269687d,
+    0x6101e6c9, 0xf07a84b1, 0x2a96d201, 0x61018034, 0xc2d77eec, 0xe83ee3f3, 0xaec381f0, 0xda385d9b,
+    0x93748d21, 0x8598e74b, 0xe906f538, 0x50786a97, 0x5cc838f9, 0x8f57523f, 0x514063f3, 0x3d82c573,
+    0x7f6504d8, 0x24333a96, 0x45e554f6, 0x85767aea, 0x72cfa165, 0x593bd0fc, 0xbaab1829, 0x46e1bf1b,
+    0x85aa7486, 0x90d4117d, 0x7c0cdf76, 0x820524a1, 0x9c84bc52, 0xd36b43e2, 0x4bebb492, 0xf21487a5,
+    0x0c3ffe2f, 0x1dbf1ee0, 0x3988f50e, 0x1454823f, 0x8668ae3b, 0x2a667cd9, 0xbda3da46, 0xdd19fd3b,
+    0xe53dbb22, 0xcdd38c07, 0x3d990ff8, 0xbfa48554, 0x14126893, 0xce0617db, 0x3a449207, 0x38c89839,
+    0x461527f1, 0xd0698583, 0x508f2a89, 0x63d9a27c, 0x7a1a3ff9, 0xf4b434b4, 0xb0d613ba, 0x634f7010,
+    0x000cd428, 0xaec4c549, 0x25cbcb5f, 0x8c85f279, 0x77bc2c75, 0x43023f61, 0xf5de8030, 0x89adf40f,
+    0x4c3414ad, 0xf6a3bb7a, 0x8eb5f27b, 0x056fbf37, 0x0f6288ce, 0x2c0c68c6, 0x24bbf787, 0x265e3039,
+    0x44f1c25a, 0x9fc4bfa0, 0x975f1b05, 0x342a5690, 0x19b34042, 0x404ab3b0, 0xef37722a, 0x3dad4887,
+    0xb2c25cba, 0xe08cd81d, 0xe1df3cbf, 0x0143b8f1, 0x8577a4ed, 0x9de1dff1, 0x6c68cc12, 0x39b018ca,
+    0x184f74d6, 0xe613046f, 0x7e94b0e6, 0x163fcc48, 0x7d6fd0e1, 0xa338d1f1, 0x41660e4a, 0xa0258d98,
+    0x3838f1a5, 0x06734618, 0x2b4424b5, 0x967aa683, 0xf63a1591, 0x366bcdb4, 0x85d725e5, 0x7e6ddbd8,
+    0xa74a6a16, 0x73d1680a, 0x9274f926, 0x182a9a7c, 0x5cf2a9d2, 0xb1dc2cd8, 0xb3442a6c, 0x1ac15535,
+    0xf4e6dea9, 0x77934e03, 0xb35f7758, 0xa1e7caec, 0x880dac7c, 0x3e40ec7c, 0x673d0e8e, 0x2fb0ed4e,
+    0x300f50cf, 0x1b9eea80, 0xdfd8b9ca, 0x47180321, 0x9b14a3db, 0xbd719145, 0x68c1462e, 0x29369cc7,
+    0xe75bd59a, 0x60c48bec, 0x0b8bd5de, 0x3b0f8890, 0xf1fe25f6, 0x584de8a9, 0x83451412, 0xb922d2b7,
+    0x3a5f0574, 0x14d400bf, 0x036c1960, 0x8935f836, 0x5d2a3b2f, 0x31983617, 0x3dcc8589, 0x3f2a70fe,
+    0x8667eea2, 0x843106b4, 0x5475614f, 0x601d2ea0, 0x11425bca, 0x00c39492, 0xe3f0a0ab, 0x2b8f8491,
+    0x95d8ff72, 0x0c257df5, 0x2cb56f38, 0xa0c3e1f8, 0xff05fa92, 0x09f1bb67, 0x2d5079ec, 0xd96c5b88,
+    0xaf1aeb41, 0xcb81fd87, 0x6700ec8e, 0x9995cc77, 0x757c75ca, 0x5bf0f8a4, 0xcc5b58e7, 0xafd780db,
+    0x42b538e1, 0x3a41d3ef, 0x3eca25da, 0xb34c957a, 0xd21f2d15, 0xcd31a64a, 0x7efdbe9d, 0x989a1b6e,
+    0x7ba63401, 0xec8e24b6, 0x297f3279, 0x57b82f9c, 0x750f566d, 0x2fb6ed9a, 0xd1adec11, 0x46fe75ac,
+    0x452ae8e6, 0xa675eef9, 0x8619dbef, 0x6bc818e7, 0x01e3a26f, 0x56ffca41, 0x7abfa9c5, 0xa74fe1d9,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000107839786668602559178668060348078522694548577690162289924414440996864 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a74, 0x8db56403,
+    0x00000000,
+    0x884fb512, 0x4bd92e7f, 0x866ba005, 0x1f74ea58, 0xd4a5db46, 0x4a2cf98b, 0xdc62a521, 0x31125af9,
+    0x1cffabcf, 0x95869dc2, 0x2848aede, 0x7cb81299, 0x464b443a, 0x612b480f, 0xb1ac4d8c, 0x655e5e81,
+    0x6b09e423, 0xbe1464d8, 0xf6c6f34f, 0x055be9d9, 0x9040d6ec, 0x745ad886, 0x0f1c6bcb, 0x8671ec9d,
+    0x1210d151, 0x1e72bbb5, 0x812985c9, 0x61998a81, 0xfa5ebdd4, 0xd6446fed, 0xc01f807b, 0x6f7befa2,
+    0x7df9900a, 0x72bc4e9f, 0x78e28708, 0x34290980, 0x5d9efd25, 0x38a70ce1, 0x6309995f, 0x89d77030,
+    0x3fb0fe6f, 0x296bab40, 0x5d7a282e, 0xcba98561, 0x9ca22e13, 0x7354e005, 0x8bd65320, 0x31ebde08,
+    0xd874e889, 0xe3e0bab1, 0x3bd178b2, 0xb7b45173, 0x25033f5a, 0xffdd5034, 0x408a0e9a, 0x3251842a,
+    0x5258f85e, 0x756bf49a, 0x1d4301d2, 0xd6ef106e, 0x4387175f, 0xf78d733c, 0x4d35984d, 0x64ddb625,
+    0x90ea0902, 0x87b76e54, 0xd7c76d58, 0x681eae65, 0xf2b6452b, 0x783bca59, 0xa1d2e24e, 0x0422ea9b,
+    0xb339e1e9, 0x250c55ac, 0x4ba149b8, 0xe5f4303a, 0xbb88d6a1, 0xc4df11d4, 0xa0b94586, 0xe3198703,
+    0x385f00f1, 0xcb9a2414, 0x16a6a207, 0xe425752b, 0xaa08243d, 0xef36839a, 0x28c914ad, 0x65b7dacf,
+    0xd6278c2c, 0x23810316, 0x1370a88d, 0x373bb472, 0x8862d72b, 0x75a54b00, 0x7ed4fd0a, 0x2d005737,
+    0xddb051ab, 0x6b4f247e, 0xc059393f, 0xb49273ea, 0x5fe5981a, 0x7138d790, 0x6d4c1ddd, 0xb67118e2,
+    0xe240e496, 0x2ff14853, 0xabaf21db, 0x5be8ab27, 0x3695531f, 0xaf8c6a73, 0xf3c956af, 0xfe794d2f,
+    0x7fa50d6a, 0x2fca787e, 0x703293eb, 0xe26eacc9, 0xba86489d, 0x3c35151a, 0x099aa2c4, 0x6ac95af5,
+    0xa29daf3f, 0xd5d7c9fd, 0xe6f41a10, 0xda7f5b7b, 0xa8674834, 0xbf7f5629, 0xa3fd68db, 0x7c34c629,
+    0xc1dab283, 0xbdf7aa20, 0xe7e8034f, 0x7b3e1434, 0x2e23740e, 0x6678f7fa, 0xc1b6b4ea, 0x33c042cd,
+    0xfe09d133, 0xc85833d5, 0x5bf6109f, 0x65f0674e, 0x5f20ea49, 0xe3dfd35f, 0xaae479e3, 0x0aeeda22,
+    0xca4f4000, 0x2c971b4b, 0xbc3d7725, 0x5dc11dfd, 0x556e42de, 0x83ba9117, 0xd87f8fc9, 0x0d9e65ed,
+    0x6a5d5532, 0x43c6e638, 0x469e7bf3, 0x513f4d75, 0x0f50e127, 0x849afd3f, 0x5f0f1add, 0x18a5794e,
+    0x039a6eeb, 0xd96b9f27, 0x53e73cd5, 0xe390b24c, 0xd824ce46, 0x1b3b202c, 0x348ecb86, 0xbcdb6ee0,
+    0xaf8ab959, 0x24d189c3, 0xa0662b3f, 0xd748a4db, 0xdb48a268, 0x7b5f217f, 0x3a63fe0d, 0x80db1065,
+    0x02de55d8, 0x6550a86e, 0x0b23f991, 0x92445ebf, 0x539ab3fc, 0x48fedb50, 0xa523e4a9, 0x0084db34,
+    0x6d054161, 0x256fea80, 0x31981931, 0x8d937d83, 0x0514314a, 0xcd168806, 0xe50d487c, 0x29bf8e28,
+    0x5d13a226, 0xa746d88b, 0x5cffdcd4, 0x4284ebd8, 0x6f7984fe, 0xa5fa0960, 0x72df53ce, 0xf4e606d0,
+    0xed71d3f4, 0x1a3ffaf2, 0x24d676a0, 0xea872d04, 0x818149aa, 0xd0498708, 0x9ed1b0aa, 0x667439b8,
+    0x8fb38728, 0xe6acf748, 0x5c69f9e2, 0x7f93cfaf, 0x13e60a1b, 0x924cdb25, 0xe2fec833, 0xa1ca80fd,
+    0xb115b8c0, 0xaac86e5a, 0xba100331, 0x99bfbfd1, 0x140a1039, 0xa3f65a96, 0x5c561efe, 0xee1026e3,
+    0x5abd0ad0, 0x81a51402, 0xc3f51e14, 0xdcb9014f, 0x0c576c8b, 0x78497b9c, 0x3143f0de, 0x71f16724,
+    0x5cbac983, 0x92205ded, 0xe6230e73, 0x33f1b9f3, 0x27409224, 0xa830abfc, 0xdddc8921, 0x4619fe35,
+    0xa5e3b32a, 0xaa67def4, 0xac10630e, 0xaef4653e, 0x6f9b83e4, 0x4973d695, 0xdc2cc839, 0x6590546b,
+    0x9c9df483, 0xd8b5c745, 0x9edd12aa, 0x593b00f8, 0x95843988, 0x79075284, 0x1213dc05, 0xe272c4a3,
+    0xf7a50aeb, 0x08bef19d, 0xdad1116b, 0x087e6953, 0x85be4d32, 0xb8208c0f, 0x1b6f995a, 0xa1d6f014,
+    0xcc84df8c, 0xf5296de8, 0xe5ea7c2c, 0x860f8f44, 0xce4e13ce, 0x0dc121e1, 0x3ffabed3, 0x38d2bc0f,
+    0x725865c9, 0xec478c10, 0x40e65660, 0xcbfea018, 0xa45805a0, 0xc0b02ede, 0x14401c56, 0x9c90c1cf,
+    0x802f8ae8, 0x0a815993, 0x0c987454, 0x68335bd8, 0xbba91f30, 0x4707aa99, 0x9986e996, 0xcf6bf248,
+    0x70c0bfeb, 0x0b5509f6, 0xf4c610b2, 0x133e961f, 0x767458d8, 0x72a4009a, 0x559b81b7, 0x403a144c,
+    0x6213774e, 0xca667476, 0x3086c075, 0x03c370ba, 0xe2ab9b25, 0xf1ac0f2f, 0x3cc6a654, 0x704bdecd,
+    0x389fd40b, 0xf2eec2f5, 0x4de6721e, 0xcc94ec53, 0xc04a6060, 0x0af82c7f, 0x15c16243, 0x69f04165,
+    0xede5b235, 0xc8711260, 0x2fc2e45c, 0xfb0ca301, 0x1b2f43c4, 0xff6c4005, 0x69d57914, 0x3edc1dbe,
+    0xae688bfd, 0xc93e7a1b, 0x39cfbe1d, 0x7782c793, 0x998f65b2, 0x30ccfbf4, 0x96161dc5, 0xe40a3cc6,
+    0x43f6db84, 0x5ba23249, 0x905f9230, 0x42056223, 0x6a15be66, 0x367bc6c1, 0x1e42977f, 0xc79274fc,
+    0x966c54ef, 0x37cb253b, 0x7d1cf6e9, 0xa828203e, 0x2239d655, 0xe122c92a, 0xcae87003, 0xbc9f6806,
+    0x1bc018d6, 0x7b4a913e, 0x8f327748, 0xee0abd87, 0x75c1c19d, 0xecd437c5, 0xf38f6a38, 0x59d1778c,
+    0x71f1f4b5, 0xc60f2c51, 0x7f579f76, 0x7d1b7404, 0x5aabbf35, 0x797f4976, 0x2d9e3693, 0xd8df9c66,
+    0x6efa237f, 0xbd7feffe, 0x1762167c, 0x19734cd7, 0x743749f4, 0x707ec330, 0x28d4b169, 0x8483c938,
+    0x8629557c, 0x9fb5fb72, 0xf616482a, 0x7044e410, 0x9a8feed2, 0x23de9614, 0x8c35ef69, 0x2efad046,
+    0x3f5c4ddb, 0x37aac21a, 0xbf1fc341, 0x14106a79, 0x65688a4b, 0xc8b9c002, 0x26f4e7b6, 0x3d5db28c,
+    0xbfe5474e, 0x697f98a4, 0xf3d68205, 0x08f343c1, 0x2c28aa35, 0xd8958c22, 0x55654cc1, 0xd51daef8,
+    0x7fcadb03, 0xf6640df2, 0xa5ac7636, 0x07067ae2, 0xe28526fa, 0xa40f3540, 0x668dd546, 0xf48395d6,
+    0x4cc0f32f, 0x2a487be2, 0xeb254c99, 0xc923d0db, 0x51bdd1ce, 0x8a1938a1, 0xcb6d5329, 0xc3fa9404,
+    0x77f33aac, 0x9718bb02, 0x0165a22f, 0x01a540fd, 0xb1ed651a, 0xf359e774, 0x23752c66, 0xc7a2a77e,
+    0x80402932, 0x6957ee05, 0x0d056d94, 0x637e9720, 0x81e980a2, 0xbdb008c6, 0x76047c8d, 0x3cee9cde,
+    0x9afe052a, 0xdd9f1642, 0x9dabafab, 0xda3c99f1, 0x66595744, 0x729d2f65, 0xbcfa85a5, 0x406c135e,
+    0xc1ccfebb, 0x95f1f64b, 0x479e8d0c, 0x43188538, 0xb5f0a35a, 0x9884e7a0, 0x973fe490, 0x8e01c5c3,
+    0xfb8e9e08, 0xdf5e1ffb, 0xd86d3fdd, 0x46bd6ba2, 0x1bcee346, 0x65fbc3b8, 0x617debe9, 0x67409f22,
+    0x6fe73001, 0x172143cf, 0x41240872, 0x4b0eb2a0, 0x346bb4ff, 0x17ff1c26, 0xb306e57c, 0xaad33d30,
+    0xa9bc35e9, 0x9a9574ba, 0xd14d6609, 0xb341798e, 0x265e79c1, 0xe4077e3c, 0x85699e7e, 0x8495b85f,
+    0xb2d2e0b8, 0x4f1d1368, 0xfbf1c223, 0xfd53ce19, 0x18311b49, 0x0a632585, 0xa1b5b611, 0xd04766d6,
+    0xd37c24e6, 0x5b5eaaf4, 0xf083a025, 0x762161cb, 0x887866fe, 0x0736602d, 0xb2c43a93, 0xab73322b,
+    0x37ffa310, 0x8d00083c, 0x715e0650, 0x500a4ae9, 0xd1b1ee66, 0x635e8c5c, 0xa06e9fee, 0xe0487a14,
+    0xa58f0466, 0xda064aad, 0x32644df0, 0x337911fe, 0x171c4e4f, 0x4e0ca3b9, 0x659dfb88, 0x432400a8,
+    0x33738bb2, 0x4bfd6bc6, 0xbade0737, 0xfa93e578, 0x08864664, 0x56c372ca, 0x90a0a196, 0xa6e6ae39,
+    0x8411af80, 0xe3bc5900, 0x139c8a4f, 0x89d25182, 0x51a66e9e, 0x78225de8, 0x363c943d, 0xb209752d,
+    0xf6feaba8, 0x4486c039, 0xf5eda7dd, 0xf97e2042, 0x2989eabc, 0x750aeffd, 0x94480946, 0x1015295a,
+    0x3d74f376, 0x8fe4e6fe, 0x3cb064ff, 0x906c5785, 0x42791632, 0xaed4822d, 0x430009e2, 0xf06934da,
+    0xa2d95e05, 0xe5c0e21a, 0x7f8c5e57, 0x7df2924c, 0x8a1e7c0d, 0x31d88538, 0x7e535a2c, 0x0507593d,
+    0x91785a0c, 0x87155ca5, 0x488751da, 0x1718e59f, 0x5aab4466, 0x9d268a20, 0xc2044640, 0xf0576e04,
+    0x72a426a3, 0x150c468a, 0xcadd42b7, 0xc21cdf6d, 0xe6d6e00d, 0x364d71db, 0x370c0bec, 0xa8f72d2d,
+    0x6f4a050c, 0x72f00c29, 0x874930bb, 0x879c563c, 0x2259023c, 0x4822fdb6, 0x4d2b644b, 0x0d505409,
+    0x3b362b91, 0x23e275ff, 0x6a547ad9, 0x90e495a3, 0x6c71b693, 0x4bfff5a2, 0x9240df2c, 0xe874f2ee,
+    0xab2c9d6a, 0xdf1d8759, 0x5c817d66, 0xa5c6bc0c, 0xff0b74a6, 0x6db296c2, 0xa8363a24, 0x215fbf0c,
+    0xcec60880, 0x9e3286dd, 0x0c946092, 0x7e01bc41, 0xbe8f4bd2, 0x9eddec87, 0x079ffde4, 0xd22d02bd,
+    0x7191f3a8, 0x12f25d3a, 0xd4e37057, 0xe5e93ffc, 0x84066fff, 0xe904f0cd, 0xa2362e57, 0x554e986d,
+    0x7fcf34d1, 0x9a7f194d, 0x4705a215, 0xcee10b63, 0x27c45b74, 0x67d69796, 0x5d9272ef, 0xcff19f5c,
+    0xb7946253, 0x5d6f99a4, 0x0c1e3732, 0xceeb5427, 0xedb85d94, 0xa8bee280, 0x87a38415, 0xb68efb19,
+    0x385df187, 0x0239a25f, 0xeb6d1e60, 0x16b1e54d, 0xcdcb0581, 0x45ee2798, 0x844b1c6b, 0xdf15a8be,
+    0xaea825c8, 0x3e80bb2c, 0x7f9bab4d, 0xfe0c6dc8, 0x1d654746, 0x8c63e7bd, 0x9c5ae6f0, 0xc58e1418,
+    0x006240e2, 0x0e8492ac, 0xe45572fc, 0x2f3751c4, 0x1082aea9, 0xf8e8b81b, 0x768067ce, 0x65ee4eb8,
+    0xec772dbb, 0xbab5fec1, 0x6fb2e6ca, 0x60a39f5e, 0x9955a66c, 0xf78d687c, 0x6b791209, 0x42a97af3,
+    0xf5b600d8, 0x998e0013, 0x7eb42c43, 0x932a16d7, 0xf694b3ae, 0xaecca545, 0x23239b4d, 0x910a0f8e,
+    0x4ff8ee62, 0x52b2d08f, 0x90dcd71a, 0xae13f5b4, 0x9edbe924, 0xd0035cfe, 0x5378fddb, 0x2325f60c,
+    0xb744cab6, 0x02c0ed71, 0xfdecdee0, 0xc8dd54b6, 0xf735c0a8, 0xab5836ca, 0xb2b38809, 0x033490a8,
+    0x601b487d, 0xe39a6409, 0xb00d7d94, 0xb1eff186, 0x3631789a, 0x025d1861, 0xf33a3362, 0xffdce903,
+    0x8913d6d0, 0xd658b5db, 0x484ad8ae, 0x7ddb768b, 0xe49e1509, 0x113f7fb6, 0x5dca8736, 0x5f37e5d9,
+    0x04a451de, 0xa55e28da, 0x496f0feb, 0x4ab2b40a, 0x3f5238c1, 0x7876c11f, 0x0f192d52, 0x10cc6a32,
+    0x220806a8, 0x4c4432eb, 0xf132cfbd, 0xc7eb8a1c, 0xd84adc7b, 0xa82f0bba, 0x14979ddd, 0xfc369532,
+    0x05330df2, 0x6bf1d6e9, 0xc6969298, 0x2d0fad27, 0x46892b91, 0x95144751, 0x97fde9af, 0x62203797,
+    0x411992e0, 0x8c1ed834, 0xc7438ad1, 0x892ad970, 0x263eaff4, 0xf70812fa, 0x40235b82, 0x4d8e63fb,
+    0xdb195aaa, 0x3a6137ca, 0x99f5943d, 0xfe5816a0, 0xd21e1e3b, 0xea54f73f, 0x3a6d0f22, 0x745b7676,
+    0xfbb1704b, 0x3f8f2e2d, 0x2578db96, 0x7e9b7304, 0x65cb7f13, 0x69da78e4, 0xa6546d56, 0x3ea5cf91,
+    0x63b62548, 0x17a0d80b, 0x6da1f93c, 0xc1071ad3, 0x13860d73, 0x11cc0a91, 0x8749cd62, 0x20d7577d,
+    0x4484f308, 0xb05e67e9, 0x946273d0, 0x93681344, 0x5da4c9ad, 0xc6b57d56, 0xf4de04c6, 0x37f5cf21,
+    0x723b3a08, 0xb7e10250, 0xfd78f858, 0x87e5bc6c, 0x9c690d25, 0xa577f93b, 0xfebd4134, 0x00cde219,
+    0xa629cc26, 0x758658a5, 0x57643ece, 0xfb4ac124, 0x33f2db9d, 0xcf6d16ad, 0xa324872e, 0x14bf03f1,
+    0x6617151d, 0x1b06bfd8, 0x60673283, 0x8b10cb9b, 0x172e4463, 0x6f123d0d, 0xc66faaf1, 0x3c77681c,
+    0x1a459c98, 0x8d3bb45a, 0x3af2bfe6, 0x9fd0ca4d, 0xb65120f7, 0x6d771947, 0x10893a86, 0xca9607cf,
+    0x56309f82, 0x161f9a0a, 0xd9cc7b40, 0x07636134, 0x125d5880, 0xdafd1da0, 0xaf21988f, 0xe99b28f0,
+    0xebda6538, 0x9048ed50, 0x9c85ce81, 0xb80694c6, 0x265c3705, 0x51c8ca24, 0x8912fecb, 0x030b6917,
+    0x3c1d730c, 0x6ce4d037, 0x250bb9c3, 0x4f9112b3, 0x8ba97305, 0xbbdcc464, 0x061f93f8, 0x4607483d,
+    0x576c34cc, 0xf5cf8087, 0x03bf5f2b, 0x654853ab, 0xacd0e44e, 0x0a4fc734, 0x9c3c2559, 0x0bdb8945,
+    0xe4db94b5, 0xb6bb380d, 0x327dab89, 0x99617c92, 0x61dd75cf, 0x97bf4b40, 0x8a4328c6, 0x3bbfe4dd,
+    0x480f4d89, 0x8e0da553, 0xf9605386, 0x7a04f96c, 0xb5ec16a8, 0x3f6e7cc0, 0x76e07118, 0x72d30859,
+    0x6e04c6d5, 0xc00fc95c, 0x6b870d58, 0xe669d147, 0x97f97d83, 0x4f027c15, 0x401e6ed8, 0xc8e5c58b,
+    0x3f3adec5, 0x73d4033e, 0xd9abbabb, 0xdbd4442e, 0x17f3b084, 0x2bea744f, 0x0dd41674, 0xad11423e,
+    0x8d43185f, 0x519393ee, 0x3c5d6492, 0xefec0be2, 0x7aa4e777, 0xfedbb73f, 0x08179f85, 0x578724c1,
+    0xf5a0f969, 0x4230f448, 0x833122fb, 0x45d02eec, 0x65ef57f6, 0x9039ad6c, 0x7acfc8a7, 0x12ce55f3,
+    0x111e0a41, 0xd1ed7e58, 0x0890dc2a, 0x5a454246, 0x431d5cbc, 0x7545331b, 0xf303d867, 0x3d0568f2,
+    0x70176fdd, 0x531a503d, 0x4cb53a1a, 0xe16f4aeb, 0x259f57e1, 0x9c1d8db0, 0x4d04ffae, 0x3913979b,
+    0x1076e837, 0xaa93dc7b, 0xf5d5088c, 0xef06aa82, 0xbbc48e25, 0x26ba23a1, 0xdcef8315, 0xb14c15c8,
+    0x141832d4, 0x4cd462e7, 0x31faf984, 0x32a9196b, 0xa98b9486, 0x57f66516, 0x8427d63b, 0x49fe0eb5,
+    0x71ef0802, 0x4cfcfc39, 0xb362da45, 0x5cd01b11, 0x0cdb3a19, 0x27dd869d, 0xba6d94f4, 0xaadd44c6,
+    0xb3117c4b, 0x3b38c59c, 0x89aec0ea, 0xa9f53beb, 0xea5392c8, 0x72f736e3, 0xcc1a85a3, 0x4d8b1af1,
+    0x895757de, 0xb5767afe, 0x187c9465, 0x65ec1151, 0x7a01f23c, 0xb624afcb, 0x1410a2a9, 0x10fba348,
+    0xc4ed5f3f, 0x6eca934b, 0x3d68f442, 0x52a62ef2, 0x0ca5600b, 0xb8179719, 0x4c72ae98, 0x6bd8eedf,
+    0x0d718a9a, 0xf6896ca6, 0x060ca01a, 0xee5bcb40, 0x423bb7ee, 0xabfdf0ec, 0xffc1ce94, 0x8fed802e,
+    0xeaddc569, 0xb8020699, 0xc8ce3363, 0xb8c5a0ab, 0x1b022236, 0xa98c33d8, 0xd98b74e1, 0x027fe7a9,
+    0x6b485a0e, 0xeee8cbb3, 0x21f5a05c, 0xaffd9268, 0x5e15af0a, 0x855b02e4, 0x73193b50, 0xabcd1436,
+    0xcde1f61d, 0x047d55d4, 0xab233fc8, 0xd5b6de17, 0x9029c249, 0xc967eef8, 0x23badb8e, 0xf1c6d1a7,
+    0x62ce72da, 0xa0527e45, 0x3cdc6c13, 0xfcbc5303, 0x999773d9, 0x933e3f52, 0xb07b986d, 0x18a7b526,
+    0x0ad01ed6, 0x4ad11278, 0x9739ee6b, 0xd4d52788, 0xd3e36e83, 0x4c40a63e, 0x7486f660, 0x8ae7d42e,
+    0xfc91be6c, 0x4390dd4c, 0x4783f0b5, 0x9d669103, 0xa94e8930, 0xad270912, 0xad4fad68, 0x39ca6262,
+    0xd72d86fc, 0x52d6800f, 0xc2240c2e, 0x94f00fbc, 0xd0127c7c, 0xb0e7e731, 0x29a5a16d, 0xd5e8de14,
+    0x40c8c981, 0x681030b9, 0xd43d801f, 0x8ce0d33e, 0xd4d3a745, 0xa6c0dac3, 0x383b74e8, 0x76a053c4,
+    0x4b73ce82, 0xddf7fc96, 0xbb002f9a, 0xc8894906, 0x5f6d4925, 0xa71f9e7d, 0x690ea06f, 0x1ae527fd,
+    0x7fa4c948, 0x8a7de92c, 0xfb043158, 0xb0bcf794, 0x92331cd1, 0x90779f7a, 0xfb170e71, 0xfbe5b6d7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000053919893334301279589334030174039261347274288845081144962207220498432 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb53a, 0x46dab201,
+    0x00000000,
+    0x84171f76, 0xc492b489, 0xaf16e2f3, 0xf3bdc327, 0xf84b818f, 0x57e48375, 0x32b9a726, 0x43130f51,
+    0x015f9a19, 0x4157f19e, 0xff256d4f, 0xeff90b07, 0x1812d553, 0xb950d304, 0x293edeba, 0x64c9068c,
+    0x98cde795, 0xc6202e6b, 0xafa0cc4c, 0x27337a8c, 0x6692538d, 0xb8a6fe25, 0x745c1cae, 0x47ec022e,
+    0x4a665de4, 0x28fb372d, 0xb6cd7db3, 0xc0545ab6, 0x5ddd5a8e, 0xf621e253, 0xfaa1589b, 0xaf4f4da8,
+    0xf0c67b48, 0xed99f4ab, 0x93821838, 0x39b18bf6, 0x92de9281, 0x87f032b6, 0x677e8fc1, 0xc2118403,
+    0x77e43ed5, 0x07a2de13, 0x5f3c10b8, 0xcd023243, 0x8e12eb73, 0x64494095, 0x430a870f, 0x878fbb5d,
+    0xcebd056f, 0xc8bb4a21, 0x661118cf, 0x0297bf44, 0x61863409, 0xf94f27b3, 0xd185e6d7, 0x7176d20c,
+    0x7ec8b1da, 0xab48cff3, 0x82e8124f, 0x96871f8e, 0x42cd4cd7, 0x7e0a154e, 0xe57861f4, 0x7d8eeebe,
+    0x3c9f7c51, 0x1dc4394f, 0xcbfa3376, 0x782bfd5b, 0xbd3011bb, 0xe36bdac6, 0x7ea55fed, 0xacfc9c07,
+    0x5946c1f8, 0x7524fa80, 0x8e4c862c, 0x7db0ce27, 0xbff01c96, 0x14895be7, 0xd06074c8, 0x2c45a467,
+    0x1763d0fe, 0xc38ddf4d, 0x8744d193, 0xd7c5a2f8, 0xd56ce076, 0x387af729, 0xe09342cf, 0x7b3f8c62,
+    0x666e94b7, 0x7f12f064, 0x3d8105f5, 0xd6751056, 0xd5a12107, 0x149f60e5, 0xf312050e, 0x714de17b,
+    0x8a9251c0, 0x4e6232f1, 0x7b0cfac1, 0x74759329, 0x4c0d0ef6, 0x5b6c83b9, 0xd7402777, 0x6270dc72,
+    0xfa5d05b3, 0xa60a6bd8, 0x4ebc7631, 0xaf32aa02, 0x4f572f16, 0x15ed3843, 0x92984a44, 0xa40a524a,
+    0x6b0434d5, 0xe51d9ea9, 0x4118fd7e, 0x704ec411, 0x50b4e5d1, 0x680ad63c, 0x8760ff66, 0x344f4417,
+    0x6e073ae0, 0xe2136759, 0xf9de6c97, 0x9b5fd7a8, 0xeb1fd1af, 0xaa7eefab, 0x005777a5, 0xedb33af2,
+    0x98051582, 0xdc7caa58, 0x5647ca28, 0x1a690ce7, 0xb03e15d3, 0xdbd061b9, 0x83b28c49, 0x61f66376,
+    0x73e02b7d, 0x3f4e15df, 0x2841732f, 0xb47b11ad, 0x1899c54c, 0x4270bace, 0x565f2938, 0xcc789ad4,
+    0x3045f6e8, 0xa159be4b, 0xb9085421, 0x8dcfeea0, 0x958c8a30, 0x1cb0a39e, 0xa7ff82b0, 0xed9de3f3,
+    0x1154396d, 0x7439ee5f, 0x40a5373f, 0x98579ee7, 0x0e7a71ee, 0xbc4b1c16, 0x6de2491d, 0x5d033e3d,
+    0x065f545f, 0x8a4cd4a3, 0x7582a9e8, 0x38110e04, 0x749807e6, 0x8e5bbed8, 0x612712c2, 0x01802fe6,
+    0x7edafa00, 0x6f22c3dc, 0x51b492cd, 0xa049fc15, 0x4533643c, 0xb98e88c2, 0x4afef86b, 0x7c470d2e,
+    0x5c2b5f1f, 0xbaabfc84, 0x96e13186, 0x6fa1fe06, 0x72503d1a, 0xde7c986c, 0x626b1061, 0xb4d7ee88,
+    0x94c3e01c, 0xb9d71c80, 0x63ff8919, 0xabcaa864, 0x864e3b94, 0xf1a9adc4, 0xdba1e5d5, 0x648cef4a,
+    0x08babc79, 0x5fd6c7bf, 0xea678f82, 0x12335cc0, 0x20c4329f, 0xb2879370, 0xa3bb0d36, 0x7c2887f5,
+    0x1c6e8b69, 0x5a72e0d1, 0x44eae90c, 0x6ea98e71, 0x7cd77021, 0xbf6b4f9c, 0x3aa1b4cf, 0x40d6356b,
+    0xa01a8d19, 0xfa5dfd2b, 0xa6102909, 0x5103f36a, 0xe9dfa613, 0x3ab7f3fb, 0x046b4e04, 0xc33d7e47,
+    0x307913a8, 0xf1a8f62f, 0x760c4d34, 0xc72c200b, 0x5a0cfae6, 0x228f0c76, 0xeac7a555, 0x1bf09697,
+    0xb296360a, 0x820fab55, 0xad4a51ee, 0x0bc54224, 0xdbf05fe5, 0x73667e0a, 0x7e9176c7, 0xa46ccbbb,
+    0x982c7437, 0x20dd162b, 0xe52b2a29, 0x2e59e4e8, 0x9a3693c4, 0xfa2cd228, 0x35e709fd, 0xa226828f,
+    0xc4c5f87c, 0x1bd70805, 0x3e87e76b, 0xf14cd623, 0x08394e9a, 0x0717a0dc, 0xbc3c8a82, 0xd2d4c5b7,
+    0x5cdaaebc, 0xa54def55, 0xd09f4fce, 0xfa9c1b5b, 0xeacd63ed, 0xd4e43741, 0xa549eea3, 0xd4151cb4,
+    0x3a5623bb, 0x88b6c86f, 0x8cc4900a, 0xf50e9e90, 0xad8d9cfd, 0xf06a02ed, 0x3b51a056, 0x857bcfbb,
+    0x7b3769a0, 0x7a02d811, 0x9128f61b, 0xd2487cb8, 0x84675b10, 0x26a2aa2a, 0xe224414d, 0xa11fc33d,
+    0xbe3b8105, 0x47cb4df3, 0xac8d5730, 0xd97ddf43, 0x26e51fe3, 0xbed20bc8, 0x1062f2ba, 0x02c83499,
+    0x9e39c45c, 0xc30581b3, 0xf4da8001, 0xcd18639b, 0x3e2d5041, 0xa407c475, 0x23a7ed70, 0x3770ae0c,
+    0xf47d0702, 0x2eec1dd7, 0x3b46bdd6, 0xa251e4fb, 0xfa0e6324, 0xe11ec1ce, 0x1dcbe135, 0x04606646,
+    0xef9e93a0, 0xc140af4e, 0x6b7ed933, 0x7b881102, 0x8bbc86f7, 0xed3ddf12, 0x73227c59, 0x7ece8c23,
+    0x25420374, 0x0d74308c, 0x6f4f512c, 0x79338164, 0xd4a2dc44, 0x420bf525, 0x9d901af5, 0x00183509,
+    0x3f62bcca, 0x64ae4518, 0x8da0b5f2, 0x5a693c13, 0x382ac351, 0xf2974e44, 0xa3f98a21, 0xd345503b,
+    0x242bfa51, 0xbbd50319, 0xc0457e4a, 0x2696ecd2, 0xa572329e, 0x2bfff94d, 0xe914be02, 0xb2b3d432,
+    0x0108dea0, 0x5dbc25df, 0x37a3f7a1, 0xf1731951, 0x213571d4, 0xabe90610, 0x7a910e92, 0x669491f4,
+    0x963e4daf, 0xbfe1743e, 0x700e5047, 0x04054ef0, 0x55565218, 0x44371e6e, 0x318203bc, 0xe0415960,
+    0xcc1f76a6, 0x5827fe53, 0x79e796bb, 0xc1ba0410, 0x841f6fde, 0x05d7736b, 0x3ce6dce2, 0xfed3e394,
+    0x428c5796, 0x5a26dd71, 0x4aa9fc86, 0x8d04fb24, 0x85e398b5, 0x2d5e31e9, 0x4f552ee3, 0xa0647fb3,
+    0x26c5f05e, 0x86ebba9c, 0x958a22c5, 0x668caf06, 0x41afb863, 0xe624cdfe, 0x81540cfb, 0x1b881127,
+    0x2ceeaab5, 0x5c2d28b6, 0xc74ab796, 0x67a1a08c, 0x8dfd87e1, 0x099f4047, 0x1b527cdd, 0xf90e92d1,
+    0x73e2d681, 0x628d9a38, 0x91e1ae2f, 0x69335ebd, 0x109b5e7a, 0x5d5830cf, 0xb9430cb6, 0x64d6b393,
+    0x62c53a7b, 0xaca8bda1, 0xc8f443c9, 0x852a6f29, 0x7133851d, 0x9c237676, 0x905f91c2, 0x2d304813,
+    0x068a4dcf, 0x9fb7a791, 0x40279db9, 0xdb654cac, 0xd54570a1, 0x4be89937, 0x1bdc3a1a, 0x0a4b28dd,
+    0xa57253b3, 0x6c3f666c, 0xdb5ad4e9, 0xc48900d2, 0xf4ebc001, 0x18fde729, 0x8b6d3950, 0x6be878b5,
+    0x109a77c3, 0x79d0318f, 0x52ba66c6, 0x3f7217ff, 0x34307f2a, 0xe44d9613, 0x7ecf656c, 0x8340cc64,
+    0x1722ce7c, 0x5f3f89ae, 0xda4a7a07, 0xc277e05c, 0xf7d5abfe, 0xa5f50460, 0x562c5189, 0x6a35ab47,
+    0xbb7404f9, 0x2e1731d5, 0x1cff27d3, 0x0fe46c37, 0x770dbebb, 0xb8031ccc, 0x6db65b2c, 0xc5712935,
+    0x7729cca3, 0x8eb6f8b5, 0x0d9edc7c, 0x75e04666, 0x878726f2, 0x16158047, 0x26161402, 0x2e4f58de,
+    0x72953826, 0x6b670277, 0x21aefe61, 0x8fc139e6, 0x024d7b48, 0x93746a2f, 0xe7f6648c, 0xb765490d,
+    0xa1320679, 0x6f73616f, 0xee6d1607, 0xe21f000d, 0x42851124, 0xb860f8c9, 0xd7db8e8d, 0x5e5da7d8,
+    0x482172ea, 0x5f65ae0d, 0x9962565e, 0xc7a823fe, 0xaf35e2df, 0xb3e29b90, 0x78aea231, 0x51c68d10,
+    0x34463c84, 0x24b6cb26, 0xaaf4dae9, 0x65da0ba5, 0xf4d3d16e, 0xa2baaf16, 0x500c662e, 0x5e68fe25,
+    0x2035bcd3, 0x7222e110, 0x38f1e3a8, 0xf70822e0, 0x90be38ae, 0xbe1824e3, 0xd2ad6b79, 0x81c26ef1,
+    0x93b4c33d, 0xc2310afd, 0x437c42a9, 0xdda36aca, 0x7b11ee08, 0xf9f18691, 0x9e887dcf, 0x7d0553bb,
+    0x664f96fe, 0x0f2935b0, 0x5b1ab4d3, 0x2287e361, 0x698a9300, 0x201591ef, 0x6056e4a4, 0xde6a937a,
+    0x432e4fa4, 0x54eb4614, 0xb795d1ee, 0xe008b840, 0x26c86a3d, 0x0b61e2ad, 0x81fde05d, 0xff80cc14,
+    0x8812f637, 0x5f41452e, 0x27038ceb, 0xc11e1bd4, 0x91cc5275, 0x6f07f207, 0x1cbc23e4, 0x86c1fc18,
+    0x1da43f7a, 0x2cc763df, 0x3ab54146, 0xd3100304, 0x8889df5c, 0x5c8ef539, 0x1fedbdef, 0x89de75e4,
+    0x2971f565, 0xc226c059, 0xe2c50657, 0xa1e1e718, 0x2bc44007, 0xe60bd48e, 0x0b66a90c, 0x49699c1e,
+    0x638c2d04, 0x68dc1fa2, 0x0d1250f0, 0x0a24ce5c, 0xac599dff, 0x2051ec6a, 0x4c448c13, 0xb6f6a261,
+    0xd2d0d7fd, 0x38a48c74, 0x3a05a381, 0x5e4cd308, 0xd78b2dc8, 0x2314005a, 0x563d8388, 0xa2dcb098,
+    0xbffe30e5, 0xb26b95f3, 0xd71754af, 0x187bc4e1, 0xb3683721, 0x954cd997, 0xaff8168e, 0x0cf2462a,
+    0x73611252, 0xeb2cf656, 0x6cbbae46, 0x6680284b, 0x6039b3a7, 0xbf4e3314, 0xfc668fed, 0x9f6a4e6d,
+    0x522b30cc, 0x1473e1d6, 0xcf115cd0, 0x5cff37a9, 0x9c1586ee, 0x42177d61, 0x2da49a58, 0xec47bbdf,
+    0xb5b22154, 0x2e1c919d, 0xfec1e31f, 0x526176dd, 0x26bda545, 0xb8d5b6dd, 0x8c662c91, 0x9b7132f2,
+    0x531b8b00, 0x23fc24aa, 0xd4991cad, 0xc46b3325, 0x74f3f919, 0x511feedf, 0x4b7e49a8, 0xac3d308e,
+    0x049fbf7e, 0x61ae6084, 0xf3f01b7f, 0xe5c52dea, 0x1e9c7285, 0x9171d9a6, 0x346ae7d6, 0x1932c561,
+    0x222726af, 0x5c3c512f, 0x5e1abe88, 0xdbf37cdb, 0x41b8bc96, 0xe6a3b830, 0x8834cddc, 0x755ead85,
+    0x6f898eb2, 0x6ad6d228, 0x4c28d9ae, 0xcbe7e979, 0xa4adc665, 0x4b5913e4, 0x72edc295, 0x0169d9b7,
+    0xf948cbc0, 0x16cf71db, 0x51624fc4, 0xbd2591c4, 0x0ec62f3b, 0x20e7b235, 0x5dfafa1a, 0x8d525ef1,
+    0xc7ab98cb, 0x2f5f7d27, 0x00811d4f, 0xbf2ce1e8, 0x429fd587, 0x41de801c, 0x7ca784d9, 0x634ee862,
+    0x74a1d970, 0xd1fd821f, 0x69575f04, 0xb59fd582, 0x9f0125c6, 0xdfb069eb, 0x7d8fbc57, 0x97d971d2,
+    0x68d28611, 0x13d6f2cb, 0x9278e784, 0xda1973c5, 0x643ed9f7, 0xcba6c5f8, 0x01c8f238, 0x3941d31c,
+    0xf0b6259b, 0x4640ed53, 0xb472f9a2, 0x430ac0c1, 0xf8975644, 0xd7da356b, 0xd50b5c1e, 0x0933ee36,
+    0x60bbe74d, 0x822c95fa, 0x3355ffd0, 0xdc1e73fe, 0xb18082c7, 0x1c6f6995, 0x6ff7d8c5, 0xd179c150,
+    0xa3eaa27c, 0xd82de42a, 0x37deef42, 0xb9eff9cc, 0xad5e1e4d, 0xf77d6d49, 0x372301cc, 0xbcf99820,
+    0x00363710, 0x7dc4069b, 0x406799df, 0x5898f47b, 0x7219843b, 0xa6087e9b, 0xfe20178b, 0xf44e1c00,
+    0xc3b4dd9e, 0x630c5682, 0x0927d3cc, 0xb8d9b297, 0x836c62e4, 0x523c10cc, 0x853559ed, 0x30f7bd8a,
+    0x531a2838, 0x4d8cd7b1, 0x73dd7674, 0x4c0243b7, 0xf1cebf9b, 0xde213d21, 0xf0ff87f7, 0x87029bb0,
+    0x19c92258, 0x05773779, 0x421c6988, 0x10584de8, 0x0cf64d12, 0x5210b826, 0xd0658357, 0x84eea071,
+    0xc81cdad7, 0x3ee79f23, 0xe4abd2c4, 0x9415e20b, 0x4baa5552, 0xf84cd655, 0x4f91685e, 0x3d9e9431,
+    0x362ab0b9, 0xca638e6c, 0xd58bf946, 0x7a57c2e2, 0x75407f07, 0x7d0b83be, 0xeebf027a, 0x7053aab2,
+    0x084f70a2, 0x57ae3692, 0x06c16624, 0x157b961e, 0xeba8bcad, 0x5d81d501, 0x2b0e042f, 0x7f589383,
+    0xa4490a54, 0xd1e1dd31, 0x7b396a18, 0x675899c1, 0xe8da09f0, 0x4d73fb9b, 0xabf011cd, 0x502b0b14,
+    0x86e6458e, 0x185b56ab, 0x8ac50340, 0x36ae4a1e, 0xf9cf0a33, 0xe1f1bdab, 0x5683a4e0, 0xad9c8df7,
+    0xa737fb51, 0xfb32c178, 0x543bfb47, 0x11ca0cfe, 0xda1bc0aa, 0xe65b8063, 0x1d3d391c, 0xcf36cdad,
+    0x4cbbb21d, 0xeee00dce, 0xb140e105, 0xdbb9bb92, 0x3039117a, 0x1cd1d69c, 0xbc962c81, 0x37534cd6,
+    0x2e7559e0, 0xf4e0f5bb, 0xc5f8847d, 0x26c1710a, 0x710cfb56, 0x47b686e2, 0x61892df3, 0xbbfbdff4,
+    0x66369b7d, 0x859b0f80, 0x56e91f59, 0xdb4907e4, 0x39734162, 0x89d90a5b, 0x96418777, 0x1da23a57,
+    0x7e5a7baa, 0x5f83c102, 0x2c7d195e, 0x5a9a42fa, 0x3b963046, 0xb46ca389, 0x0c6c6ff5, 0x8e29b99a,
+    0xa2b59c03, 0xb16fa98c, 0x608a2401, 0x29b19ebc, 0xe227d1ff, 0xef36be5b, 0x0a59f238, 0x37f1c912,
+    0xa068aa86, 0x50633975, 0x3e5f0c49, 0xccff05d3, 0x01bcd7e5, 0x683cfdf8, 0x91647096, 0xa19c269e,
+    0xaefb5d25, 0x1dfca922, 0x46c8d2f5, 0xb6c55fc9, 0xfc297eaf, 0x24f3e60e, 0x4cc7cc88, 0x581d596a,
+    0x97ba7af3, 0x12b99253, 0xdab80659, 0xc3666396, 0xc0477965, 0xf2b3b9ba, 0x12588730, 0xce8fe2d8,
+    0x8a22df75, 0x4820bb12, 0x30060a47, 0xec25445d, 0x1325a32b, 0xd0cdfb5b, 0x20667cae, 0x29ae93de,
+    0x96a2abd0, 0x514e0016, 0xacfb0667, 0x409235be, 0x86a953aa, 0x63744838, 0x340611bb, 0x13799661,
+    0xe3e85f4a, 0xa826328e, 0x55d46dec, 0xe277a0f0, 0xfdb25c6d, 0xc5cdfb78, 0x900380c7, 0x9b7bb234,
+    0x4887b563, 0x4f849017, 0x2ab027c7, 0x019ff876, 0xb3e75bcd, 0x314302b8, 0x4bf1426f, 0x06feee8d,
+    0x83402fce, 0xb17ceca5, 0x50e21b31, 0x1d21dd8a, 0x3a4169b5, 0xaa3f5733, 0xfdc763d0, 0xcb67d5be,
+    0x9c44667a, 0x89c94729, 0x1739c00f, 0x30fcfea0, 0x84ebf6f3, 0xecfdc8ca, 0xc8cacea2, 0x1de95db2,
+    0x2408bb7d, 0x50363e03, 0xa446de3d, 0xa8dc6d4d, 0x2b8a14c7, 0xe734fbfa, 0x0fb37d1d, 0xaaeb6cf7,
+    0xea0b99ae, 0xd41aacc4, 0x1ab0ab70, 0x6cc6cc1f, 0xeb4dfe61, 0x611a2f3f, 0x5b87a515, 0xdfdccba4,
+    0x641d13a0, 0x5da39783, 0x0aa2f11b, 0x4fe09814, 0x51999aca, 0x4c032972, 0xd5bdfbc4, 0xb269ac63,
+    0x5c9ebd5e, 0x67ae9677, 0x9298987f, 0xa57e5f16, 0x2c86c212, 0x788cc08d, 0xeb0738e6, 0x7e2a7c36,
+    0x7c4992d1, 0x78aa83d7, 0x0ab62260, 0xf85fdad7, 0x43f67ffd, 0xfea0ae8b, 0x1cbc4fd3, 0xaf5b8085,
+    0x3acb6b94, 0x654e7dcf, 0x508928f2, 0x313b1c0e, 0x766b7e1d, 0xb28ccc65, 0xeb3f7201, 0xade8df6c,
+    0xc64e58ec, 0xee265cf6, 0xa7fe02b3, 0xea1e29fc, 0x30af030d, 0xb870621e, 0x79cf3213, 0x9a8e582f,
+    0xb17ffb79, 0x2bc531c7, 0x9d9b0336, 0x3fcb6e32, 0xfe1d64a4, 0x76baaf6b, 0x38d47c63, 0xf1e5c53b,
+    0xdcca3399, 0xbd7b9f1f, 0xf01180c3, 0x71662852, 0x2b43f27c, 0x8231f3f9, 0x31ad05ed, 0xba2ca098,
+    0x27c7b2e0, 0x8d0e15f9, 0x2632f63f, 0x795857e3, 0xda05cbfc, 0x6b341c74, 0x4719edfd, 0x06c0ad09,
+    0x3cb95799, 0xf71d2109, 0x8aa7fcdd, 0x41bfa2e5, 0x809b5340, 0xe0d6bf11, 0x2564db3e, 0x575bebf9,
+    0x50d69c8a, 0x23aa4578, 0x323ebd21, 0x09738a9b, 0x3c3615bb, 0xb99b6bf2, 0xd51cc71b, 0x6108cc52,
+    0xb9928fec, 0x825c221e, 0xcf8c594b, 0x883d911a, 0xfb02ecab, 0x78f56d70, 0x4414aed8, 0xdcdf5330,
+    0x2c7f5868, 0xd56f093d, 0x7ec3cf2d, 0x054d0fc4, 0xee4f2963, 0x8362f19c, 0xb2235080, 0x9f1fe440,
+    0xab37b842, 0x170fae65, 0x57f0472e, 0x433a40b2, 0x78b94e9e, 0x6fabf3b1, 0x27358cbc, 0x78827d1b,
+    0xb6ed5537, 0x61ced0b0, 0x260c5a69, 0x789dc66f, 0x6c49fbe8, 0xd7e81042, 0x29cca423, 0xe05b4c4a,
+    0x35493026, 0x44b1d17b, 0x5554573c, 0x6a37a6d6, 0x4c7996cd, 0x9df66413, 0x58056136, 0xdad9a44b,
+    0x84815d77, 0x12e4c93e, 0xbc333c8e, 0xfa4e8183, 0x283d3a80, 0xa4c9f55e, 0x0e2efc9d, 0xefe3f400,
+    0x22ac6ed0, 0x8e0e546d, 0xa00f705a, 0x6631ed3a, 0x832ea642, 0xfa6d33e0, 0x87114f0a, 0xdde2378c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000026959946667150639794667015087019630673637144422540572481103610249216 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9d, 0x236d5900,
+    0x00000000,
+    0x820771bd, 0x035d4d6e, 0x8b27f787, 0x9f6d804c, 0xbed996a8, 0x619eab01, 0x6d1842bc, 0xa6ceee73,
+    0xb47e6071, 0xe78ad0f0, 0x0543044c, 0x38f14d34, 0xe183ffb6, 0x2f2dd1ec, 0x5bb1974f, 0x8612cc00,
+    0x0b115d8d, 0x5a4c91af, 0x0e525a5b, 0x94792396, 0x86a060ce, 0x0e20caa7, 0xd4e0cac3, 0xc2378e53,
+    0x000eb26c, 0xba692edd, 0xcb9cb2c4, 0x48a54ce9, 0x9140f253, 0x482cdba5, 0xf1178be7, 0x5b8b6def,
+    0x1c092d1a, 0x6cc90e40, 0x2b235fc8, 0x5b5e1377, 0x8ff0e6f4, 0xb4060a3f, 0x52766f58, 0x56db1657,
+    0xc19b658d, 0xca6018f3, 0xc14e9fab, 0x65218360, 0x08594d68, 0x9e1fcadf, 0x3cdabdcc, 0x5a9f9ac8,
+    0xe90a46c6, 0x3de8de5a, 0xb9675ace, 0x8c5de589, 0x03ecfe44, 0x8ecfa774, 0x87b34ed5, 0x8905abe7,
+    0x81655efa, 0xf58f60cf, 0x626fbcc7, 0x344790b5, 0x1002bdd5, 0xf88fbaa7, 0xd778914e, 0xb69ab7ae,
+    0x41e12df0, 0x868509ec, 0x55f6ccf0, 0x2cd9eec6, 0xd7598aa8, 0x94e49fea, 0x5b5cb37a, 0xb222ad40,
+    0x1476fe3f, 0x03fd428b, 0xde90eb67, 0xf3ca286e, 0x9fd2391e, 0x5865a5be, 0x3731fcda, 0x2850cd43,
+    0x1d419c6b, 0x18ab6d2d, 0x3d820d06, 0xca4f15db, 0xe0b51c53, 0xd98dbf93, 0x95bc3b29, 0xed0c11c4,
+    0x6ef4114c, 0xa775a5ea, 0xa9fd9609, 0x3db0cdc5, 0xf9e7ba16, 0x63b0e88e, 0xe67ba368, 0x66f7101f,
+    0x69d2afd3, 0xf8e87f64, 0x811d8af1, 0x070be5e8, 0x8219115c, 0x26e1a98f, 0x4302e012, 0xe6757f18,
+    0x1137a0f7, 0x0780448a, 0x78cacd4b, 0x7bdf538d, 0x2f5961b7, 0x42dc25b1, 0xd578bf39, 0x50671b10,
+    0x59254a17, 0xc44e26b6, 0x5f9465d7, 0xc9bfd29b, 0x29fd2508, 0x24c7fc9c, 0xe33d75ee, 0x6d979005,
+    0x9d7ba937, 0x73ba9511, 0x30267b33, 0xeef36a74, 0xa239a7b8, 0x5267f1bd, 0x9ddc9aa5, 0x809e56dd,
+    0xb821a2c2, 0xd63b6cd6, 0xeb89f83e, 0xc737ae62, 0x6c18b7e1, 0x5abe2918, 0xb7c3cccb, 0xb3f20e8a,
+    0x8ebe3193, 0x01809709, 0x54ace743, 0xd37520fd, 0xf9c3236c, 0x1ca1fb6d, 0x0dcd9625, 0xe9d08a33,
+    0xc3c258e2, 0x279684a0, 0x8f305dd0, 0xc3d16a7c, 0xd64b9619, 0xfd4e69a9, 0x6e4b594e, 0x26efaae4,
+    0xe42e1e4a, 0x6112cfad, 0x3d2cdbf9, 0x8f3dbf18, 0x9db27033, 0x97345cb7, 0x88e900a0, 0xc1bd47e8,
+    0xc9fe09ff, 0x3bea748b, 0x97db1353, 0x44b703e6, 0x4b7282a3, 0x6c4c1d1f, 0xdfe668b4, 0x442afead,
+    0x5b7d6a12, 0x0ca8c4ef, 0x9ed58b37, 0xc105afaf, 0xcbb89f7c, 0xf7573464, 0x5d678d06, 0x1e90ba3c,
+    0xc52c2411, 0x2d8d69b1, 0x47926a21, 0x2402e3b7, 0xb474664f, 0x9b212042, 0xf04cf237, 0xdbc17605,
+    0xef6b1c5e, 0xef23c302, 0x9ac6afd7, 0x762778cd, 0xcd24e427, 0xeb2b2982, 0x8a552869, 0x17a1c43e,
+    0x50b21fd0, 0xb690cb2e, 0x1aaf9d66, 0xe3957fac, 0xdd131ff1, 0x117c63bb, 0xb35346c8, 0x0494b3d7,
+    0x601e8758, 0x0dbaeec8, 0xb42461f7, 0x80558f9d, 0x588d8cce, 0x1fc79d1f, 0x8a4c2f93, 0xf59a995c,
+    0x3a63e4c8, 0xfd8c321f, 0xccb7bfb4, 0x7592ccca, 0xcdd68f58, 0x0e6a7caa, 0xad8b5f8a, 0xf89fa1b6,
+    0xa5b9369b, 0x45eb630c, 0xe4bc9eef, 0xa24668e0, 0x8f8ffd57, 0xf4121912, 0x481bfc04, 0x9eb75019,
+    0x6e86a5d4, 0x52902fe2, 0x98f65ee4, 0x792b8edb, 0x61ba0931, 0x0d1319ab, 0x46871638, 0xdcc218f5,
+    0xd160ed7d, 0xf2afe66f, 0xdd3f8a47, 0x1bc3053f, 0x5a126095, 0xa5cf793f, 0xde793459, 0x44a74508,
+    0xef38971d, 0x484aa6bc, 0x1a46cf45, 0xfd673584, 0x1af99931, 0x33baed6a, 0x3bf23806, 0xf0e1d940,
+    0xc986af0f, 0x38f620da, 0xc8e21c0c, 0xdb99060b, 0x5712b259, 0x05712133, 0x5fab622a, 0xc99d0eed,
+    0xc442aca2, 0x5992843e, 0x497d3006, 0x4c93ee2d, 0xaf1a4da0, 0x59692a27, 0x65e772b8, 0xa756f1ca,
+    0xdbc503a8, 0x556732c7, 0xb6b4dcc3, 0x23d9b18e, 0x50998855, 0xafd686ae, 0x910fe2fc, 0x8f07da5a,
+    0x49618802, 0xf2301a64, 0xcf2faebf, 0x86ced9fc, 0x4d5087e1, 0xb4aebff3, 0xde65ccb2, 0x90f4e3de,
+    0x6fcd4d28, 0x824c6d72, 0xe581d6c9, 0xbcbcbc9e, 0x40b2eab7, 0x3eec8c86, 0x271dff82, 0xc535accd,
+    0x842584e0, 0x68779f42, 0x11d6b578, 0x9d86e764, 0x35e588c2, 0xb5b6228e, 0xb58ab4b0, 0x9f131c96,
+    0x99c60b4f, 0x3e79c3ad, 0x34f9662c, 0x43273e6b, 0xd59fda03, 0xc6b2535b, 0x41a7730a, 0xf5012e29,
+    0xf96c559f, 0x3b2a5277, 0xfc6f501c, 0x7c74791a, 0x76832ddd, 0x714b74c9, 0xe7c12fe2, 0x56cc6868,
+    0x3d56c6b5, 0x91064c84, 0x9a0741f4, 0xc0587427, 0x8d6bb374, 0xec5b53e0, 0x12dafcbd, 0x5b5b3e9e,
+    0x11a4a6d8, 0x4182f68a, 0x6a3e2ac0, 0xd101628b, 0xf39fec17, 0xb56ee47b, 0x6d992a01, 0x473628c4,
+    0xcbc68a18, 0x6b61e2d7, 0x3526ee44, 0xb33782d7, 0x3e59b2d2, 0x1c3d974b, 0x29317b67, 0xd704928b,
+    0x626b93b8, 0xbfc0501f, 0x817b3800, 0xe275d4e6, 0x3e5ab5d5, 0xcf58a86f, 0x4a6df88f, 0x007a7e02,
+    0x3f54e4e1, 0xc1482aa7, 0x5e58bc10, 0x7e9d6250, 0xfa8c2e6a, 0x36855bca, 0xb2d01025, 0x00dc198c,
+    0x57793a2b, 0xfd8ec6f2, 0xf9646b2a, 0xdefcc69c, 0x731c3f50, 0xe35e7b3a, 0xe2162750, 0x48ad6dac,
+    0xacae7929, 0xa1b3c0a2, 0x9fd27931, 0xb8afef4b, 0x8d32cd3a, 0x36305956, 0xf1d5fa7a, 0x2cd8a646,
+    0x867478e8, 0x7715c577, 0x9a011905, 0x7c1b6451, 0x2b8015ab, 0x6a70b2b9, 0x441ec97a, 0x5e442742,
+    0xa0cd78b1, 0x77f39901, 0xf982ace9, 0xe580a687, 0x1337e4ee, 0xb06588d2, 0x1e907d1c, 0xb7dd7393,
+    0xeef43448, 0xa65d16b4, 0xbfca539d, 0x5fe2bcd1, 0x25afcce9, 0x80ee0f01, 0x17032e74, 0x24d3b1b8,
+    0x74dfcde4, 0x005e6440, 0xc0ff77f0, 0x063c3862, 0x01ce0563, 0x907c7313, 0x578b72cf, 0x70299a57,
+    0x632ab855, 0x6ff214ce, 0xd43affe4, 0x86730556, 0x8b4c9ca4, 0x55ba80db, 0x1a257787, 0x8f26d44f,
+    0x8ae28e0e, 0xe70aa41a, 0xf4a6d9f5, 0xf8f19cfc, 0x510e4203, 0xc22917e0, 0xb168326e, 0xe468974c,
+    0xe7e5019f, 0x592dc3fc, 0x040520b2, 0x48333166, 0xf73696f7, 0x02c122f9, 0x26868e82, 0x7487af66,
+    0x002f70f3, 0x2a2b8e36, 0x1a19e7ea, 0x18d6dbfe, 0x66af984e, 0x5ec2a121, 0x78af69b0, 0xc3b59880,
+    0x9ec43c10, 0x07ca4c94, 0xe05e723d, 0xee400b01, 0xab63d9f3, 0x7e872888, 0x7ac9dd5a, 0xa0881b66,
+    0x98f17956, 0xe231edf4, 0xffa497bc, 0x90201695, 0xd94f88b8, 0x699077c4, 0x60e8fc86, 0xba6e21de,
+    0x12c6ceb5, 0x7bc0f0a6, 0xc2acd467, 0x7b5ff47b, 0x8945b4b6, 0xcca263e2, 0x357af0ae, 0x05348750,
+    0x0eaa472f, 0x218672ec, 0xef73150b, 0x7e691484, 0xec08c696, 0x7a437367, 0xfc262943, 0xb3051c4f,
+    0x3d918f20, 0xa4223902, 0x1b3f8bcc, 0xf35daa25, 0x2971fb00, 0x7486c917, 0xd831c46a, 0x3663ac79,
+    0x9b4d0b2f, 0xa6e8e6de, 0xf0393347, 0x6e25e60c, 0xc1ccad46, 0x032504c8, 0x6608ba54, 0xb0148a1d,
+    0x4a118a74, 0xccde1bc9, 0x0a4d8923, 0x62c151b8, 0xe169abb8, 0xfb9c2474, 0x03482bf3, 0x0df0d5c1,
+    0x0dc7affe, 0x47ca929e, 0x3975efc2, 0x532ca905, 0x4b6976b5, 0x9a8f80b3, 0xcd6be1e3, 0x53e2a39a,
+    0xd9325cb6, 0x47bd35c0, 0xcef63067, 0xfe54ae0f, 0x87b8241f, 0x2703e884, 0x9eec1b38, 0x02eb460e,
+    0x399a3ec7, 0x4a57f989, 0x80b5ead8, 0x8361f13b, 0x8f8cb7cc, 0xee8206b7, 0x780a73a7, 0x98b28aef,
+    0xab881e9f, 0x86699a4b, 0xf35dac2c, 0x94a5b233, 0x3e203cca, 0xdc400f3c, 0xa4e12963, 0x344497bc,
+    0x125e835a, 0x6b72d554, 0x944b6a40, 0x423dc4ee, 0xdab03841, 0xc478e479, 0x6f5625cc, 0xf549edac,
+    0xf53b6d2d, 0x5f9dbf85, 0xdd5af89e, 0x9609794b, 0x43fb6c49, 0xd3905a79, 0x4284b93b, 0xc1bf2ee0,
+    0xbb620cf8, 0x5ae247bb, 0x23058b77, 0xc7a95623, 0x261bb656, 0x278f0ba7, 0xd6df4ec9, 0x4588fdc4,
+    0x8601300d, 0xac656a88, 0xb668b75a, 0xdcfe7495, 0x4524ef91, 0x963ac7b8, 0xe67acd7e, 0x26fa3cc4,
+    0xb30c7ea2, 0x41702fce, 0x87af5b3c, 0x1546c886, 0x6c7955eb, 0xaa86292a, 0x9b99153d, 0x356aa948,
+    0x80b1afa0, 0x33734177, 0x804bf262, 0x44c17056, 0x89b4b623, 0x23ece95f, 0x2f67251d, 0x6fa17d81,
+    0xfeaf2459, 0xe5130031, 0xc94cb3ab, 0x6a1bb5a1, 0x5654c202, 0x59bda9f3, 0x351e0bed, 0x9edab662,
+    0xd6e8ea84, 0x58646599, 0x46803952, 0x853d50b5, 0xd19788d8, 0x8c0421d8, 0x5364644e, 0x8fc1340b,
+    0x758d1413, 0x0e7e5d5a, 0xcc2d6ca5, 0x0c9cf4c4, 0x73caa102, 0x20d154ce, 0xf457116c, 0xce135d96,
+    0xb91e0bc6, 0x5cdf70c6, 0x183f3216, 0x0f9bfde6, 0x98c15c1b, 0xf9f74935, 0x418a7fae, 0x8e73328d,
+    0x8ef7851c, 0x3b05c438, 0xbac0e6ab, 0x1a446ac3, 0x725ea221, 0x12924e7a, 0xc7d6c56c, 0xd56b8120,
+    0x104f4bc2, 0x55800180, 0xe7c74d7a, 0xe30bf94c, 0x84cac3b3, 0x6f31fa5c, 0xa951ab0a, 0x02d7658b,
+    0x348495be, 0x01754326, 0xbd4f889f, 0x905f8c73, 0xacdafc28, 0x8e5f0db3, 0x923af858, 0x9f8cff46,
+    0xb3e0ca6b, 0xa9d36978, 0xde18ea17, 0x4714a25a, 0x7a345c94, 0x696a2b14, 0x79dd3620, 0x9b76a892,
+    0x41d011c9, 0x09391fde, 0x9991c637, 0x26520542, 0x90eb35cb, 0x91f9cd41, 0x85010d85, 0xed096faa,
+    0x6bf54301, 0xc61cfe25, 0xdc8af9cd, 0xd2df248e, 0xa1dcc1f5, 0x39c1c85f, 0x40720981, 0xd1912eda,
+    0xf18efdac, 0x1d22cfcf, 0xe0aefa7e, 0xb70ebef3, 0x99f525fc, 0x7d545f96, 0xf6744505, 0x9354f650,
+    0x1ca24596, 0xe3d2445e, 0xdf9745b9, 0x145c3861, 0x614973b2, 0xfe6422cc, 0xdef81fed, 0x1ebc8b4a,
+    0xbcfc20f3, 0x58458617, 0x156c30f1, 0x07a5c2dd, 0x7caa81b3, 0xf7a976ab, 0x34ff4606, 0x30493520,
+    0x207dbfba, 0x5232a7c8, 0x71908907, 0x258e84fd, 0x38bc5046, 0x4a9e8499, 0x9ce361f7, 0xad3dc761,
+    0x50f78a23, 0x39999481, 0xaa9075f8, 0x61cd9e26, 0xc1586c52, 0x7b377351, 0x31d3ef71, 0xe524db7f,
+    0x11db35fb, 0xd80ab5c7, 0xd8914d1a, 0x4529ddec, 0x221f4c2f, 0x311bea92, 0x437e5ebd, 0xbfbf51bf,
+    0xd6163b2d, 0x65ae1c95, 0x5bdc04e3, 0x4d51eae3, 0xd35a528c, 0xb321319d, 0x2bf198e4, 0xa3aec996,
+    0xc2049eb0, 0x98c21f4c, 0xc9e7822e, 0x279fa7bd, 0xec96d46b, 0xa4dc40a3, 0xa356b95b, 0xfd042385,
+    0xb2c06dee, 0xa8af3ed0, 0x85e22e47, 0xafd3466a, 0x340473a1, 0x19a5f75d, 0x80817ae8, 0x61397df9,
+    0xe80cefe6, 0x6dc6d176, 0x0f917751, 0x6ced2a43, 0x14f9f9ad, 0xcefafaa1, 0x145267df, 0x67e183e8,
+    0x567fadd3, 0x50782726, 0x2a87b876, 0x1a691a11, 0xf2ef7143, 0x563c9f1f, 0xf231bd68, 0xb8d1df7c,
+    0xc928d023, 0xcd0c726e, 0xaf899d7f, 0x6b10b303, 0xf722fc7f, 0x4768c430, 0x8aa67cde, 0xf5ea13af,
+    0x999f703c, 0x500ddfbb, 0xd25ca24b, 0xf78341de, 0x3da0277a, 0x1328c87e, 0x36bc1940, 0x53246597,
+    0xffe2e089, 0x5ba3f9e9, 0xf8f4ffc7, 0xc2be4117, 0x3dad80b5, 0xa920489a, 0x4e4eb7a2, 0xd5879eb6,
+    0xfc93faaa, 0xf63de500, 0x1cf07d1f, 0x77da8367, 0xbf23610a, 0x243730ea, 0xa877ab66, 0xef932e11,
+    0xde6bd705, 0xc8470afe, 0xbd7da876, 0xb45689e6, 0x9c2bc5a8, 0x623600c3, 0x45a9724d, 0x01503ff0,
+    0x0e94c4dd, 0xcfc366a1, 0x29508a5f, 0x74c9528f, 0x13a51493, 0xcf03d73a, 0xffe33ec4, 0x15b3a2e9,
+    0xfe67ec30, 0xa4bbb578, 0xb069d351, 0x846f19e1, 0xd3d54637, 0xcc8839d2, 0xf83b0178, 0x232e6670,
+    0x3ed040f4, 0x72eab57b, 0xf4a31d0f, 0x76c15ded, 0x9d8597b2, 0xefe95495, 0xa00f7727, 0xa015081e,
+    0x1150f344, 0x36edf0b2, 0x09c7f7c6, 0x2f4b2b46, 0x8294fad4, 0x34f85376, 0x2311478b, 0x5b4d683f,
+    0x0a16f053, 0xc19b9e88, 0xaca7435a, 0x1dbf6d1c, 0x963a4aa9, 0x212f515a, 0xd7591640, 0x0a466318,
+    0x7eb6363b, 0x07a62ef1, 0x82c111ba, 0xcd514d56, 0x82a2d381, 0x8ab6a197, 0x8e484757, 0xcf7508a4,
+    0xac5d6268, 0xe0311478, 0x76ff5c73, 0xee5d3c55, 0xfcf065fe, 0x519bfb57, 0x5dd75e3b, 0x571ce76d,
+    0xdf5ca516, 0x26629076, 0x65209bbf, 0xb7dfd94a, 0x04303177, 0x7906951b, 0xc21c86df, 0x02261d65,
+    0xb76b0eba, 0xfa1420dd, 0xe16d5ee4, 0xd11bbce1, 0x160b57c6, 0xc8c3080a, 0xdcd43840, 0xba606539,
+    0x009e06cf, 0xa73fcd21, 0xd520d685, 0xa24a0f1c, 0x9d6fc5dd, 0xf5017648, 0xc45b0a60, 0x493e3358,
+    0xb734e37f, 0xbbda02f0, 0xc2e74729, 0xc735700f, 0xbcfae06c, 0x393914d7, 0x77a516de, 0x1588049b,
+    0x56f53b38, 0x13963dde, 0x8fe4252f, 0xc9af145e, 0xa9e4bed6, 0x344f98ae, 0x06d8217f, 0xeff9aa3c,
+    0xda2cc10d, 0x9b61939a, 0xfcf7c56b, 0xd800142f, 0xa879f70c, 0xdaa72bbf, 0x655c5154, 0x2f4bbf8b,
+    0x09e4ea62, 0x844a7bc9, 0xc6d9e414, 0x1e745495, 0x4c864fc3, 0x67821cad, 0xa9f75297, 0x9c524737,
+    0x9ac5d9e0, 0xc0d18d45, 0x90bb2e49, 0x63e771df, 0x464977cb, 0x3932f7f5, 0xda95a6e9, 0x5f480e44,
+    0x79cf9206, 0xb7f31a5e, 0x8c579c9d, 0x5c0ba3e8, 0xd74fec68, 0x503681a9, 0x8d7e99f8, 0xc1b4479e,
+    0x86e42e75, 0x8e9b4e83, 0x7058807b, 0x33210132, 0x91d6de4c, 0x111780b9, 0x11994ae1, 0xa54b078b,
+    0x95bd616c, 0xd248de3d, 0x65ea6657, 0xedf9a2e3, 0xb13a7c42, 0xc4e73fb0, 0xc18eb527, 0xb070a437,
+    0xf0174f36, 0x6c4b8ac4, 0x7448a1ba, 0xd8617f79, 0x9e08f25b, 0x6fe97134, 0x67f49dcb, 0x5358b907,
+    0xcc74bd4e, 0xd059e74f, 0xb5e627c6, 0x2c90b45a, 0xb62d2a12, 0x3f0fdd6e, 0x96d6ea85, 0x2fe62578,
+    0x272e0b02, 0x55184f6c, 0xf6e9d048, 0xaa13758c, 0x7951bfbd, 0x01206e32, 0xb1d1ec2d, 0x7d9875ba,
+    0x2f92dd76, 0x4480d74c, 0x9eeb75fd, 0x9126d8dc, 0xc774b4eb, 0xcfe5a185, 0xf96d4044, 0xf990586c,
+    0x847cf6f3, 0x55699c2a, 0xdaab3fc9, 0xc487dd51, 0xac0cac67, 0x0cb10acd, 0x31b9db1f, 0xcc189b9b,
+    0x3f25f6fe, 0x5904cf87, 0x40731e77, 0xdcb38f34, 0x3b541947, 0x6df86242, 0x0c72dc88, 0xda4facf2,
+    0x8bbf6df5, 0x06cc8a89, 0xac30a649, 0xea7df2fd, 0xddb823fa, 0x5c9f062c, 0x3060466f, 0xac518720,
+    0xe4d4b608, 0x7adb914c, 0x386a50e1, 0xb6e07152, 0x1a56c1fe, 0x2d35f7d0, 0x00f8facf, 0xa0800498,
+    0x306d3f8c, 0x9371e9d1, 0x74469cd4, 0xfd50e339, 0xb3a11ee2, 0x6ecc3d7c, 0xdf4a85fc, 0x3a7043f8,
+    0x689bcc76, 0xa650d330, 0x0be5626d, 0x19c4f0fd, 0xf038961b, 0x433ed325, 0x67484c51, 0xf78a25a7,
+    0x4662648b, 0x60b33ccf, 0xc1f914ba, 0x8018021d, 0xb9c2a79b, 0xd467aee6, 0xc9252dbe, 0x65723696,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000013479973333575319897333507543509815336818572211270286240551805124608 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4e, 0x91b6ac7f,
+    0x00000000,
+    0xb672cef1, 0xf7f64258, 0xd8344f53, 0x7a374037, 0x51ea68ac, 0xdf62c900, 0x9c37c8a7, 0xd299d8ec,
+    0xff9ca342, 0xe11b4c64, 0xa127cab8, 0x8d53da0e, 0x523d6410, 0xcc86f64c, 0xbd6d5121, 0xdb4c1bb2,
+    0x31ede426, 0xeb84b84e, 0xf5c6143b, 0x91fb90e2, 0x02386365, 0x66c439b8, 0x3a67fce1, 0x02c76f22,
+    0x176b44d1, 0x37aad4fe, 0x5153b74d, 0xaf16ea47, 0x220b5354, 0x4e25c09e, 0xe52fa6a7, 0xd6882047,
+    0x8e092b20, 0xa1243f71, 0xe94f597b, 0x283f2311, 0x6dc362ea, 0x8a2b745f, 0x5b9605b7, 0x27d55a7d,
+    0xe698b128, 0x3d66a3f5, 0x9b20285c, 0xa89cf179, 0x23ea8c37, 0x11ce3e22, 0x23c34bd9, 0x28340431,
+    0xed8a255c, 0x55af5ae4, 0x720ab4a5, 0x22712528, 0xbaade61c, 0x837f202e, 0xd7853250, 0xe2618895,
+    0xe0fe7936, 0xf6580f33, 0x5e64ac39, 0x1bcb4a9f, 0xeb8c8608, 0x1214078a, 0xc94e0515, 0x490fa69b,
+    0x64cd2f9e, 0xd86189d2, 0x0f3b106b, 0xa06d638f, 0x8ae5742a, 0x45dbec40, 0xcc377041, 0xd4217685,
+    0x5b2ac118, 0xfdb574ba, 0x3f1d5fdb, 0x0b096eec, 0x87b9d57f, 0xb697f80f, 0x04a828fe, 0xef2cb88e,
+    0x797ee236, 0x1c7f29cb, 0x69c98dde, 0xdd8addf3, 0xb8692d8f, 0x94d9b8ab, 0x5d1f0441, 0x606a8bda,
+    0xb75b1ddc, 0xf0358cb2, 0x811b5e48, 0x49c0698e, 0xa88f4067, 0x7a6ffd05, 0x589f42f2, 0x079c2b45,
+    0xfaa983fe, 0xfbabdb4d, 0x5f5e4e27, 0x598a7a39, 0x9b252bbb, 0xca023e4e, 0xfeba173d, 0xb26f08bd,
+    0xbdce2680, 0x5974cba6, 0xf1efdd04, 0x1c748717, 0xd6f88bf0, 0x94e83a0d, 0x9a40073e, 0x1790cf67,
+    0xc87a57be, 0xbb5d7dd7, 0x73d42bdf, 0x4e169cc2, 0xb2b87c09, 0xa47151ec, 0xc18c7b11, 0x616dc0a0,
+    0x02f23465, 0x9347120b, 0xd4c8bae0, 0x315f05d5, 0x87e4ba6f, 0x4b79e8eb, 0x13d7e7e8, 0x2de44405,
+    0x5cac9672, 0xf4932567, 0x1ef6c68d, 0xd511970d, 0x412cb6e8, 0xe758829e, 0x3302789c, 0xffeea947,
+    0x1f4679a4, 0xdc645cbd, 0xab5c16fb, 0xe59d0a20, 0x3a1947ea, 0x56bd9f25, 0x8329b3ad, 0x96241546,
+    0xd30d41f6, 0x23bfe7f5, 0xc231e9c9, 0x18a59562, 0xf754dd52, 0xdf4b2947, 0xfaca67fc, 0x3ac58e1b,
+    0xaeb83116, 0x07d2a846, 0x833f2b68, 0x26e8aa3b, 0x34219f9f, 0x09df8dc5, 0x130c5cb4, 0xd2fa22cc,
+    0x4e4a94e0, 0xec2072a2, 0xa0f46e2d, 0x04918419, 0x5ac82d02, 0xc9689fdd, 0xe0c7534a, 0xe75e492c,
+    0x6983f1c1, 0xcecfb8da, 0xbccb00aa, 0xa8bc123b, 0x05ecf111, 0x2a8ad5d7, 0x9c3993b7, 0xffa3807b,
+    0x84533537, 0xa0b6e239, 0x8a19b11a, 0x348cd43e, 0xd70b8c7d, 0xf581d4f3, 0x27cd5565, 0x153e401e,
+    0x88699fd5, 0x76eeeb19, 0xd632b117, 0xaf40272f, 0xe4bb319d, 0x81cc004e, 0xc0576958, 0x9621af91,
+    0x02df2924, 0x685ab76f, 0x1b23f64b, 0xea76e646, 0xe42ad069, 0x847237e5, 0x9d33f925, 0x415cc278,
+    0x89b91038, 0xe15a6c03, 0x9dfdefb8, 0x7de6968c, 0x7c36a121, 0x39b939dd, 0x2e6bb486, 0xb1cf3472,
+    0xef0c6ea9, 0x9513b6ed, 0xf5f933ba, 0x451e8284, 0x0845754d, 0x6e58c939, 0x15caa420, 0x0d423ccd,
+    0x0b8e12ce, 0xd43ff8d1, 0x61c69791, 0x89be89ad, 0x4fa41e30, 0x1461ff12, 0x193b52a1, 0xf0e92799,
+    0x49601c9d, 0xdcd403ae, 0xaa2b566c, 0xe7e55199, 0x41a91045, 0x216a0361, 0x7bab6820, 0xd3154905,
+    0x107d4cb1, 0x4ed5feb3, 0x7d4ac49d, 0x29a2aa92, 0xc11ec04d, 0xc22c19fd, 0xef56d0de, 0x5907d3bb,
+    0x363dd88a, 0x29e9536a, 0xa72bd511, 0x7f0ff22f, 0x112666ba, 0x91768772, 0x1cfa6b2a, 0xce48b4f6,
+    0x240279ba, 0x9ee9e694, 0xa4e183da, 0xd9f8875e, 0x1bfb444e, 0x67d9679b, 0x4380fa1a, 0xa1e3bab5,
+    0xb38a8ea7, 0xaba86690, 0x3657f0ee, 0xfd3ede1f, 0xcfe0607f, 0x6f76f5bc, 0x995a5019, 0x7c879015,
+    0x09ff2b00, 0xf2b82a7e, 0xc3d773af, 0xb9545eb1, 0xcad586af, 0xa0295c9c, 0x8133a548, 0xddc14c9c,
+    0xdb47dba0, 0xea6bfea8, 0xc586ae3e, 0x1f72cb9e, 0x3721abd1, 0x071535bd, 0x18e4d0d7, 0x27e04a28,
+    0x4b4f54a4, 0x2c06efcb, 0xee1233df, 0x4e6ef434, 0x2e42ae78, 0x60e5f0bd, 0x9898b008, 0xd4acc10a,
+    0x853810a4, 0x1139daca, 0x1add5393, 0xc8a98137, 0xf63847b8, 0x064b805e, 0x583b84a0, 0xd84168f4,
+    0x44feeeb6, 0xfa34affd, 0x219d36ba, 0xb509195e, 0x89e62dd2, 0x5a2a7772, 0xf2d0361c, 0x22a37fe5,
+    0x703b4249, 0x1c8ae5af, 0x2a82cd45, 0xd23c42d6, 0x605747b2, 0x975af566, 0xecf36c67, 0x67b82d58,
+    0x0ea90ddc, 0x8b36eb5b, 0xd94a1514, 0xbf274508, 0x5c7ce8b0, 0x78a0688d, 0x341052e3, 0x9c87662d,
+    0x5bec399f, 0x8cb68c8e, 0x96cc3734, 0x89f1e2a6, 0xeb56c075, 0x3435d4c1, 0x3f3040a2, 0x802019a7,
+    0x74935633, 0xada4069a, 0x8badfbfd, 0x1d7ee015, 0x9912689c, 0xd23fb4ef, 0x9b1e25ac, 0xdb2133df,
+    0x60ae3061, 0x35382c12, 0x76990479, 0x586619e6, 0x8e49ddf9, 0xded761fd, 0x0e775a3b, 0x26643433,
+    0xea2f48d1, 0x4f07333d, 0xf182775e, 0xfbb347a3, 0x811cbda3, 0xb3234299, 0x27748bf4, 0xdd880ef9,
+    0x930c462c, 0x827f4fc8, 0x4c44ea4c, 0x55e2c433, 0x71707d14, 0xf331d8a9, 0xb8611200, 0xcd2ee8c2,
+    0x4fbc2190, 0x3b92695a, 0x71701a37, 0x6426ebff, 0x4b978f26, 0xa429f93b, 0x37ea7321, 0xb7c359b9,
+    0xc49fc82c, 0xb7aa2d1e, 0x7bbe3291, 0x1ea5430d, 0x6687d012, 0xbe7137aa, 0x5e1f9d72, 0xb6ca1a90,
+    0xcdffc170, 0xb11b95a3, 0x3a2b1a76, 0xc184b8a7, 0xbfcda860, 0x1f9ff88d, 0xf3c4526a, 0x028916a3,
+    0x3866cb61, 0x684a3a60, 0xbcce9208, 0xb2ff7a91, 0x5662b5c3, 0xa27f063a, 0x588001a6, 0x66b84923,
+    0xb7875571, 0x34fe2eda, 0xd44a0fce, 0x46609ad3, 0x88b1b565, 0xace185a7, 0xf2f1ef02, 0xdae2a71c,
+    0x845b5c9d, 0xab40bc87, 0xd2ee579f, 0xb28ac2dd, 0x26f22b3b, 0xfe78b734, 0xaf67bfd9, 0xc5d8de28,
+    0xdb140c08, 0x5db0bbf2, 0x388c23ff, 0xb741aea9, 0xf4ee337d, 0xc5b34105, 0xf62b3ecc, 0x63f72ee2,
+    0xb97813c0, 0x2417edc5, 0xb8feefae, 0xb54a4a72, 0xa599140a, 0x6b670dd2, 0x35091555, 0x3f756c2b,
+    0xfe5445a2, 0xd2fbe63d, 0x1808eab8, 0xa456fe62, 0xdf900b06, 0x8ada7d2a, 0x089b6a8e, 0x0fc10ba3,
+    0x207ae3c5, 0xa65063f7, 0x7d986143, 0xc04278d2, 0x1c03d50b, 0x560da634, 0x34ffffd9, 0xbd8ecb94,
+    0x700d7093, 0xbc8ba4fc, 0x3449d580, 0xc939010e, 0xa46733d9, 0x6de7477b, 0xf11c0a64, 0xecd77aff,
+    0x7ba1312d, 0xffcebfa2, 0xc66ceef9, 0x7f42f547, 0x8bf72030, 0x31afbc1c, 0xe8801c57, 0xb112e0c6,
+    0x9bfae50b, 0xbb0ee0c5, 0x6b445818, 0x3dd03665, 0x0c25cffb, 0x76b1bd00, 0x868e076c, 0xb515ee25,
+    0x36b52294, 0x9afadf27, 0x560bb72b, 0x644c00d8, 0x03b58611, 0xad7d182c, 0x96c6b789, 0x109c67e8,
+    0xa746ee3e, 0xc82e36b9, 0xcad37c8b, 0x62b5ae3d, 0x897e3058, 0x7ea7ee61, 0xf132dd79, 0x482ccc34,
+    0xd7ee4ab4, 0x6c3bb3a4, 0x1a7e1f89, 0x79b715bd, 0x1fe5969c, 0x7396adc2, 0x8cc924f3, 0x5f2bfe2a,
+    0xf6bc0dcc, 0xeed3d755, 0x62f089ba, 0x004c50d8, 0x845f0142, 0xcdc7b031, 0xdf4abcf0, 0x059b5071,
+    0xa0e3e0c6, 0x5bb32a47, 0x05b98731, 0xaefc1383, 0x6bde0f0f, 0x6ad6db0d, 0x0f733ba6, 0x3d1583fa,
+    0x97b57afd, 0xce7f8789, 0x6d750070, 0x716b11c0, 0x3a4e148f, 0x6b2b99de, 0x47db4d74, 0x5295ae4c,
+    0x153629f4, 0x54511834, 0xe4a143c1, 0x8bb99285, 0x0de24da9, 0xcf324ab4, 0xb40d0d57, 0xa5bd38cb,
+    0x2130310e, 0xc9ccc64b, 0xb1c16d6c, 0x210e759d, 0x4bef187d, 0x3d1a529b, 0xf29a6eb1, 0xb40d6f15,
+    0x28e4bf7f, 0x54841f4f, 0x1dd7bf21, 0x48124b1d, 0x650fbc5b, 0x33ef2f1c, 0xbe5c41b2, 0xc7b7ca6b,
+    0x9d440ab2, 0xca8b8745, 0x3e71bf10, 0x655cf119, 0xfece3c32, 0x3b021805, 0x3527e567, 0x356f91b0,
+    0x76881f35, 0x55825562, 0x9f9fb246, 0x0892812b, 0x06270fc8, 0x4de56333, 0x67401050, 0xc4d78669,
+    0x5bf6455d, 0x6726b0d3, 0x821ae5cc, 0x85ddeee1, 0x4661f21a, 0x5503348d, 0x01b9e630, 0x20c95b1b,
+    0xb466e7a4, 0xbe4ecdf2, 0xe6b1120e, 0xf839845a, 0x5e3915f4, 0xa71f56d6, 0xc9bfd5b6, 0xd7bca5af,
+    0x8aa99b26, 0x8e5bba23, 0x95c3b3c7, 0xcaf1b7e8, 0x69fe75ff, 0x3a3f0a2e, 0xadbdf1e1, 0xc4309ad6,
+    0xe68043a3, 0x71a712cc, 0x7e4fb49e, 0x85676de0, 0x98ae5cac, 0x96d00c06, 0xe4f53212, 0x0ab3ab47,
+    0xaaa786f9, 0xeeef68db, 0xa95b1980, 0x5127a363, 0x5c92d54e, 0x389e08de, 0x0f7e2045, 0x7773536c,
+    0x46c51fed, 0x3384f7ed, 0xdb229736, 0x55ccc979, 0xf2bbb57e, 0xb1165b6b, 0x4bb0af0f, 0xcbc8d426,
+    0x34066ac1, 0xe8979dba, 0xbc616e72, 0x4432cb60, 0xcab21a23, 0x3f89fc6a, 0xce97462e, 0x6fbc935a,
+    0xccb6eb87, 0x3f66c1b7, 0x38e91b8b, 0xa65c4827, 0x7436742f, 0x6bcad3ac, 0xb3b51cec, 0xb0943210,
+    0xd1e5a31c, 0xae9b5bcf, 0xf21f8c46, 0x56d95e2f, 0x14e993b7, 0x20f32d9d, 0xfde67fce, 0x2291a9cc,
+    0x6e8bc72b, 0x652f6556, 0xc2c03710, 0x8632f4b3, 0x4bc39c3b, 0x4a98a784, 0x118466cd, 0x50d21396,
+    0xc8fa4d88, 0x004d1e7e, 0x480e2609, 0x20569870, 0x2aab2784, 0xb39f4a8c, 0x45ee0ed5, 0xf3fa1346,
+    0xe60ee76e, 0xba4c603c, 0x9c1f502d, 0xd7ade420, 0x42adeb7f, 0xe540204f, 0x3817b9a2, 0x4493cdba,
+    0x04c0f0dd, 0xca232e6a, 0xf491735e, 0x9bad7fef, 0x7294070b, 0xad131abb, 0xdeed8d57, 0xf6efcf33,
+    0x3964fcf8, 0x5ac87c0e, 0x1578fc08, 0xe6364ebf, 0x964c7f6a, 0x4d2ef98e, 0xf20be034, 0x683f0093,
+    0xc048a063, 0xdd89c665, 0x7264bd46, 0xd4dc9095, 0xc991f48d, 0x96258afd, 0xda6be22d, 0x1d64b8e4,
+    0xb3016176, 0xf3c74664, 0x29cd5e1e, 0x38434d0c, 0x50617022, 0x8ad4e627, 0xfe1c69ab, 0x2bab3be4,
+    0xbfdc9d55, 0xc2ee7321, 0x2828895a, 0x886340f1, 0xb03eb41c, 0x5af2112f, 0x452c65f4, 0x40420cf0,
+    0x541f6407, 0xd427d9ac, 0x5947c478, 0x429bbfb5, 0xc83bb28b, 0xc047b93e, 0xe7ebf4ee, 0x62f2fa64,
+    0xf2e221ab, 0xb28102ea, 0xdf4b767e, 0xf9fe7b94, 0x4629e290, 0x933d0bf3, 0xf74bbdf6, 0xb41b3d89,
+    0x3fc53df3, 0xd532cc36, 0x34246908, 0x989438ee, 0x21867fce, 0x69c50a48, 0x49c8dd43, 0x38044e60,
+    0x7eeb5cfb, 0x8eee3be6, 0x69f13a4a, 0xdd2c8c3c, 0x31502de0, 0xfa7c5627, 0xc0c85481, 0x63745203,
+    0x847fc63c, 0x67a35eec, 0x955e7a35, 0x565cea11, 0xb019674a, 0xb43abee7, 0x10fb430f, 0x977afee8,
+    0x58fab1de, 0xd12e9cdf, 0xb1acec61, 0xe5aa9df2, 0xaddeb05a, 0xf463ea63, 0x975b8dfe, 0xb8727ab6,
+    0x33ef95a1, 0x5f1c5f1a, 0x8ead2244, 0x4c33603d, 0xe5b112dd, 0x92a522a4, 0x83c87223, 0xd156c07d,
+    0x71dd7e4a, 0x5f23ac0a, 0x658a420d, 0xad16c59f, 0xd6d56ca0, 0xbad10116, 0xb26f4f67, 0xde71c899,
+    0x7b4d1241, 0x0dc81b54, 0xba0b83cc, 0x5c97a57f, 0xccb0e85a, 0xb40fc476, 0x7b6fc178, 0xe86cf0f6,
+    0xdc5e28aa, 0x30978d0c, 0xb5ea639c, 0xaf987adb, 0x7afc5981, 0xad6c22de, 0x15c80c2f, 0x9a3bc25e,
+    0x2caf25f0, 0xe2b00c44, 0xaa11541b, 0xbc7c5410, 0x76442dc5, 0xf858f879, 0x5609bdab, 0x61796fc8,
+    0xecaf2f98, 0xa24a32f4, 0x0f16168a, 0xe9cab14e, 0x57423709, 0x2e9a1b6b, 0xff0bfd51, 0x5c78e5cb,
+    0x851e1df2, 0x3761b5a4, 0x86f4bc57, 0x1f555135, 0xd6c0647c, 0x440e1ad8, 0x2c98a423, 0x7d4792ec,
+    0x628bd3df, 0x1bf68029, 0x2a721547, 0x73826738, 0x4460e5b1, 0xb369df67, 0xfac0d504, 0x00953a37,
+    0xa1784c91, 0x3eb573e5, 0x93ab7797, 0x7df1fd3a, 0xbf03c837, 0xc74afc85, 0xf48193b8, 0x4437d454,
+    0xe180465b, 0xa59a0f0f, 0x8215cd28, 0xeb6bb23a, 0x6fe43684, 0xe9a7c5f0, 0xf92cb969, 0xadd640c6,
+    0x5cf5c3cd, 0xa706e881, 0x1fc005b9, 0x9183903d, 0x196a04dc, 0xc2201256, 0xd8a2208d, 0xf9bcbf42,
+    0xba7cc193, 0x14118bf6, 0x0e265fa2, 0x684c1ce3, 0x26672949, 0xd49fdbcd, 0xb2955367, 0x8ad9b3c8,
+    0x4d59131b, 0x09421f39, 0x5ad5c721, 0x97f154bb, 0x3afd6247, 0x918f5f8d, 0x6276a5ab, 0x03555a6d,
+    0xc907e59e, 0xa08d7f58, 0x681ebd8e, 0x1dac8be7, 0x1e638473, 0xce8c7172, 0x727e5c49, 0x9b87dd3f,
+    0x8c452df6, 0xb4d2541a, 0x5205dd88, 0x520fccea, 0x7909c8d9, 0x0c117098, 0xfe80780b, 0x400f450d,
+    0x88414f12, 0x18aebe2c, 0x7cbc3e4b, 0xb83fee76, 0x0ac78bb7, 0x3b977ba1, 0xa0873c61, 0xa4de0e6f,
+    0x7b004ee6, 0xe68503ae, 0x3659b395, 0x40934d51, 0xe8a200d7, 0x3008a7d3, 0x9f43167c, 0x04f4841c,
+    0xcc80b832, 0x5e1d5a52, 0x8383c910, 0x2d056203, 0x0eb13897, 0x63519a9e, 0x3aad0755, 0xfb8124ec,
+    0xf8ac4fe3, 0x89b2bebe, 0x45273d43, 0x9b067aff, 0xad7be6ae, 0x8ec45f70, 0x47324389, 0x5b09b066,
+    0x17338393, 0x3cf8c586, 0x0c3d1480, 0xaa733d3a, 0x0d8d40ad, 0xe935ae6d, 0xbdd589d5, 0x370e8882,
+    0x783a9e4b, 0xd7758515, 0x43f3367e, 0x03f3948e, 0x8cedaacd, 0x53487354, 0xb1280b35, 0xfb27c8a5,
+    0x24ff5fd7, 0x2b5ffa01, 0xca037280, 0xb1679589, 0x59219225, 0x825dbf21, 0x2edf46b2, 0x6dcd81c3,
+    0x4534f274, 0x2ee66a98, 0x9f3cbdc0, 0x08dc2f7a, 0x76e8dbae, 0x9d4b7a32, 0xcfdb84e9, 0x1e1c570b,
+    0x9a89400b, 0x8c27c14e, 0xa5c0d3a2, 0x71388a48, 0xba40d13f, 0x288992b9, 0x56f68368, 0xfb0af729,
+    0x8b03b469, 0xf7fd8abf, 0x2065330a, 0x6577ef20, 0x3f83e6cd, 0xc1ad77a6, 0x8111d4e7, 0x0018004c,
+    0x72df47fc, 0x1cc22caa, 0x6bced09c, 0xcdb1bb98, 0x9484493c, 0x6fb381a8, 0x6f80f433, 0x7aea2f4a,
+    0x77626764, 0x94d3c927, 0x1d255bdd, 0xa34cc7ed, 0x4819285e, 0xa2c38b5c, 0x968a7b33, 0x888942d2,
+    0x689019eb, 0xc7f00240, 0xb61dd6f3, 0xffcbd2bc, 0x7aceeb33, 0x5a9bc558, 0x329cec8b, 0x35453d9b,
+    0x187fab43, 0x0d9aa125, 0x183c82b6, 0x112236a0, 0x5fbba0f3, 0xc4c5a643, 0x2edcc576, 0xa60b3c8b,
+    0x7a6a7cc9, 0x7cd5b68a, 0x1930e939, 0x2839d8b4, 0xdbfd454c, 0x7f20417f, 0x4f274f93, 0xdf96a768,
+    0xe16ac7cb, 0x8167a0bb, 0x0aca538c, 0x468fd6ec, 0x790eccd5, 0x13303ee6, 0xd0ec0713, 0xa3974954,
+    0xa4372fbb, 0xf8c15fcf, 0xcc2cd011, 0x2c02bae7, 0x2d2e773e, 0x56cd2d00, 0xe2a4ddc1, 0x7273624e,
+    0x621d8976, 0x605b4c49, 0x89032c56, 0xc543da87, 0xb9c9ae82, 0xd1344f3c, 0x47bb5d28, 0xfee74c64,
+    0xe918680b, 0x282903d4, 0x5110f38e, 0xcd78e67d, 0xefb1fd66, 0x3c0440c5, 0x323d6854, 0x72595f9f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000006739986666787659948666753771754907668409286105635143120275902562304 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a7, 0x48db563f,
+    0x00000000,
+    0x98d175f8, 0x8b9caa7a, 0xffcbff87, 0x4893cb48, 0x6146daa9, 0xc2128076, 0xff1ab231, 0x3306d365,
+    0xc15d26af, 0x09f76d93, 0xb00db3aa, 0x7a664162, 0x3dc975d6, 0x5e4d8f74, 0x60598acb, 0x5c864d3f,
+    0x891f6b48, 0xe5ec67c8, 0xd1772c1a, 0x0cab69fc, 0xa0a445fe, 0x37613b61, 0x6af109dd, 0x9951dd3b,
+    0xd4ca8590, 0xace99b4e, 0x854e83f2, 0x62f1b9fa, 0x19ed5c35, 0x64fd60d4, 0xc7d123da, 0xfd45e9ae,
+    0x582e76c5, 0xa69c80c2, 0x4b556233, 0x07556839, 0xc199e838, 0xc0ee4635, 0xb93af701, 0xd7e49c51,
+    0xfe4d2a94, 0xf531872e, 0x8f08b6f7, 0xb04c9136, 0xb59e7124, 0x5417ae40, 0xdc8788e9, 0xbb7b7951,
+    0xfc7d99da, 0x040c5570, 0x3195d794, 0x149cadc9, 0xa0b9fe27, 0x7450e338, 0xc7860977, 0x80188f73,
+    0x1dbdea96, 0xa4ba28fd, 0x5d59d2ca, 0x31abe3a6, 0xa60aef0d, 0x4b5910af, 0xf960efca, 0xdff4a5e3,
+    0x6e99d251, 0xd932c21e, 0x6acffcf0, 0xa0ca441b, 0x708dce8d, 0x1844cd1a, 0x10be942b, 0x1d23835f,
+    0x5f19db6e, 0xe19c1633, 0x9cca0ceb, 0xc26dfcd9, 0x34f22e8d, 0x8d0e3722, 0x2920b495, 0x33693485,
+    0x8d0f1364, 0xfd5ead16, 0x52a5137e, 0x202e9976, 0x500766d2, 0xa2a6ccd9, 0xb5ad4135, 0x16402471,
+    0x4388938d, 0xcd26dd2a, 0x8f3b0631, 0xfeb4f0ff, 0xf153b3e4, 0x2447cc70, 0x29866ac3, 0x272320c9,
+    0x14d8c9ff, 0xd9d27d90, 0x885649c5, 0x6c0e126e, 0xae649383, 0x0821dd1c, 0x12c1e0b4, 0xc4b1e190,
+    0xa08ce65d, 0x08ec8031, 0xb654708b, 0xf306aaf1, 0x8872fdf0, 0x222dfc12, 0x8ff9aeef, 0x06a5839f,
+    0x397b94e5, 0x6c50e36d, 0x808981f2, 0xbf4ebdfb, 0x8533fcca, 0x62e249c7, 0x57c28b46, 0x9b8bf52c,
+    0xba43b64a, 0xb86da8ac, 0xed636536, 0x90f8ac59, 0x8ea0bb61, 0xd386e213, 0x92af2fc7, 0x9d730a14,
+    0x4549502f, 0x05a2d531, 0x61806b95, 0xe05fb5d8, 0x030088f4, 0x6c1d25f2, 0xa6443fe8, 0xbcea0b9c,
+    0x2b34934a, 0x30339476, 0xd0382a2c, 0xafed59b8, 0x8f5fbd21, 0xb673441a, 0xd440d83c, 0x3515d389,
+    0xaa419bfb, 0x65dea7ca, 0x07cd8a15, 0xe392de25, 0xcd1a2cbf, 0xee5b8a37, 0x071c2170, 0x5ab9b077,
+    0x00ed7f3c, 0x2ebb1237, 0xd9918be9, 0x4c2b0326, 0x841f4d17, 0xa9cc6c3d, 0x79c79bbd, 0xd83ec455,
+    0x22c483b2, 0x2a705e7e, 0xc6a231ce, 0x8887e074, 0x63aa25ff, 0xe7e5700c, 0x31caed3b, 0x6398af48,
+    0x48123349, 0xcb60a9d2, 0x3270427e, 0x674dd660, 0x570d8c9c, 0xc2c314d1, 0xd78f5d1b, 0x7393a155,
+    0x5f019274, 0xc4420453, 0x7efcdbd2, 0x07d35400, 0x869e4a67, 0x3c36e3fa, 0x8e205592, 0x84c027f4,
+    0xd45e21d3, 0x2a38bfd9, 0x1cd156cf, 0xa7316bb4, 0x0ffa8f11, 0xf895d018, 0x5ab7a744, 0xc62c525d,
+    0x29582237, 0x156d2db8, 0x5944a8a8, 0x9e4fff53, 0x5dcecd35, 0x1593122c, 0x38fc882d, 0x0f9a9822,
+    0x031afcbf, 0xdf6e8fa6, 0x773f8cdf, 0xce825ac0, 0x61af85d0, 0xdd5d8d8f, 0x1710e3ff, 0x32b7000a,
+    0x8ac0f877, 0xde61e245, 0x23be2ade, 0x6286188a, 0xdaf3c64d, 0x76b52209, 0x5a589d07, 0xa135bf53,
+    0xfc7d335e, 0x22aa69fe, 0xbdf32ce1, 0xfb4d20ef, 0x3335dd95, 0xdefca4ad, 0x837e2e82, 0x3926304a,
+    0xd4ab7120, 0x1e84a246, 0x4b3f3970, 0x6cb3a83d, 0x1224768c, 0x67b12b9b, 0x73dcbf73, 0xd7193ae5,
+    0x9dacd7ad, 0xb3e7e32c, 0xb80c2204, 0x9343c692, 0x3933df83, 0xe7abb656, 0x9b542876, 0x2473461d,
+    0x8ccf1e6e, 0x9f67faf3, 0x79b502e8, 0x812c9e21, 0x98d7c202, 0xa7d53263, 0x621e44b1, 0xdf7718b7,
+    0x45acf372, 0x91ad7c4c, 0x14a7781c, 0x4337535d, 0xf5d04ca2, 0x04fa62b3, 0x17dfb199, 0x1dc780a0,
+    0x7f62f924, 0xc1738bbb, 0x4335aff6, 0xc930b497, 0x18e53cfa, 0x61f867a5, 0x788e7042, 0xa019f9cf,
+    0x86512bf7, 0xc08cf0d8, 0xa125ec47, 0x76242325, 0x25456e8b, 0x06fa58eb, 0x35afc29b, 0x774790b6,
+    0xc63253c9, 0xe30017eb, 0x79073964, 0x18932691, 0xf0447cf9, 0xcd2c83d1, 0xf724b0fe, 0x9ee49f4a,
+    0x13edef9e, 0x6ffea71b, 0x6c254ba4, 0x72d816ff, 0x560d796a, 0x61a57e51, 0xcdd0bae5, 0xd22b8ea5,
+    0x9c69b053, 0x0c41d8d4, 0x4d6deb96, 0x8ccc2603, 0xa6e0eca0, 0x1a1d3c88, 0x98ee94e1, 0x76617f13,
+    0x0460e6e2, 0xedc861da, 0x8ccf8ced, 0x39b4efd8, 0xe64aa30a, 0xb35741ab, 0x9e828e28, 0x6a730135,
+    0xe3a3580b, 0x159ccc7e, 0x35011855, 0xf40f75fc, 0xde9f9067, 0x972f6e35, 0xe0d0a022, 0x3498e58f,
+    0xc008b2ee, 0x3dfd4e08, 0x146f93d0, 0x7555d3bc, 0x3b9602ec, 0x87b31eea, 0xc465c6bc, 0xf7821441,
+    0x912ca877, 0xf060b1fb, 0xe345f348, 0xa225f4ad, 0x2e62ac41, 0x7904aa8f, 0x4e8ff01f, 0xaebc2fdd,
+    0x63ef85cf, 0x8f21105f, 0x139c682f, 0x81460fec, 0x6fa84bf0, 0x44de9ccf, 0x51007b2c, 0xadae8498,
+    0x4d748069, 0x7c355b04, 0x9da961cc, 0x601bb21e, 0xcafd4a9d, 0xadbb4670, 0xd2e3b2fd, 0x6b73d9a1,
+    0xb2295a17, 0x36ff1029, 0xed8b90cc, 0x58f9f673, 0xa94d2c83, 0xd9aededc, 0x30c2d3c7, 0x246edbcb,
+    0x1e4849ac, 0x351ebeb1, 0x5fb32c2a, 0xe6931ce3, 0x1dcea8fb, 0x9e94c0aa, 0x7f197d1c, 0x175e3b04,
+    0x33fc6c8c, 0xa7c54bc3, 0x80062d14, 0x1558a8ca, 0x8de132da, 0xff3d3796, 0xcfc8f723, 0xd8ce6b51,
+    0xe0b0819b, 0xca5a2b62, 0x7ac5a0f7, 0xa39f5979, 0xf8e5e320, 0x4e429fa4, 0xf700383b, 0x26b460ef,
+    0x378fc122, 0xa6fac972, 0x446b7d4c, 0xc8c66763, 0xc07f30f9, 0x04ffc224, 0x74964327, 0xef856dd6,
+    0x1fe9665a, 0x360a1a0a, 0x8a6ab7b2, 0xd866d60e, 0x1270d7fb, 0x79b46fb0, 0x981b7599, 0x31e60dd5,
+    0x60dd6294, 0x99206405, 0xe8425fb1, 0x9758106b, 0x331f5f06, 0x9886d957, 0x35986231, 0x8eb8d0be,
+    0x61ea3d47, 0x24a07a99, 0x5dc77f79, 0xe500a06b, 0x7343b572, 0xad1b1034, 0xeafcc8a2, 0x65fe6001,
+    0x9e72d3da, 0x7405e831, 0x3509f399, 0xe6bcbae0, 0xea9c4e63, 0x43bc8aac, 0x9dfbc1aa, 0xe403bd37,
+    0xd1c64cb8, 0xeebda3ec, 0x334cc27a, 0xd45cb876, 0xbfb6a95c, 0xe4bc8a1e, 0x9b0216c6, 0xcbe7620d,
+    0x457f45b1, 0x8d659f94, 0x909c940c, 0xede931b7, 0xf0e5c79e, 0xf6cdd476, 0xd7ff871f, 0x9ea6fd99,
+    0xad45214e, 0x732896ad, 0xb55c8b0d, 0x39703ca5, 0xc24410a7, 0xd0865ddc, 0x66df4791, 0x512258f7,
+    0x8eac8dee, 0x75003a22, 0xeb1cb50d, 0x8926d2df, 0x9457d30f, 0x0df98082, 0x5bcf7b2f, 0xc0760a9a,
+    0x7ade1060, 0x3286dfb4, 0x982996ea, 0xa7bd96fc, 0x47c512e2, 0xe008023e, 0xb194b1ef, 0xfeb0b7da,
+    0x321df2eb, 0xf73e3a81, 0xb15c1f32, 0x6b9b573a, 0xab988bad, 0x7e11e995, 0xd7a26cc8, 0x14d2119f,
+    0x79d936c8, 0xb721db4a, 0xc090c8c3, 0x4c1da5fa, 0xabd94ba6, 0xfe271463, 0x15df7100, 0xe8aa10cb,
+    0x51ffcbc2, 0xe7c3125b, 0xa40fe919, 0x9df44504, 0xcddc3b5b, 0x2857d879, 0xc3b5113c, 0x86072d00,
+    0xfbba54e0, 0x521a86e0, 0x430a4fad, 0xffbcb4bb, 0xa778d00b, 0x3faddfc1, 0xe829e70a, 0x6888c9a7,
+    0x295a3b32, 0xd001199b, 0x38ceff3b, 0x3513ef3c, 0x40943cb8, 0x43e8d4ab, 0xfc749f78, 0x4d9a1cd1,
+    0x1fe38096, 0xee162807, 0xe57e90cb, 0x63c9330a, 0xdb9ffb9a, 0xd2a66fd5, 0x6069bb98, 0x8bb881e0,
+    0x80cc440a, 0x4984af75, 0x4fc62658, 0x26061767, 0x736ca5c6, 0x46dc156a, 0xd31a3a8b, 0xff0c97cf,
+    0x322f7a21, 0xb4076822, 0xc36f8744, 0x0288d365, 0x550ae8c3, 0x92e049ab, 0xb9043310, 0xa6432fee,
+    0xd345371b, 0x4fa7b42e, 0xfa34200c, 0x6698fc95, 0x072bed2f, 0x2c683e72, 0x5249b1b5, 0x89daa1e8,
+    0x34fb9423, 0x3c09a674, 0x4132a77f, 0xa740c7ad, 0x934af6a4, 0xb4660406, 0x9d38a586, 0xa7a401c4,
+    0xe0834db7, 0xdb0c7033, 0x1b8f8bc9, 0x059c6725, 0xf29e8df6, 0xa1bdb4f3, 0x70f5669b, 0xfb591bbd,
+    0x61e6823e, 0x6621dda2, 0xea840e33, 0xc91a9eb0, 0x387e14d3, 0xb8f029d7, 0xedb81e57, 0x5a5d069c,
+    0x73223a92, 0xe304f1c5, 0xe29c3e8c, 0xec6fbaff, 0xe8d7d383, 0x70bbf3c7, 0x359fc22c, 0xad128ec4,
+    0x07cfe9d0, 0x3a6f64e0, 0x2e9a2597, 0x43e87072, 0x02c32abd, 0x5f3397cd, 0xcb32dd2c, 0x0794cdb9,
+    0x9f89cfab, 0x0f9e3687, 0x049f0e2b, 0xa13badd3, 0xd25138e5, 0x70eda4d1, 0xf9b95cc8, 0xa37db49f,
+    0x03d9e91c, 0xaf9b4188, 0xd10d60d0, 0xefd79bbd, 0xc7ed7817, 0x74932d02, 0xffabe8bb, 0x45711e4c,
+    0xd15e8ede, 0x04d260fa, 0xeb058890, 0x22309b22, 0x1722cfb7, 0xbf8ecd22, 0x24606014, 0x548b19e1,
+    0x161be18f, 0x1b755300, 0x34488c90, 0x0cb3c9c2, 0x2362dd01, 0xc9a37854, 0x50ebe8c4, 0x879c121a,
+    0x4e43369e, 0xe269b8cd, 0x6216843f, 0xdf1d4f16, 0xeec73d51, 0xfdbb3b4b, 0x880cbe8b, 0xec8b9660,
+    0xc0b93722, 0xc62c6ce1, 0x39ccfdf8, 0xc3419d7c, 0x1eb69f2d, 0xbd6e9974, 0x7fc8e966, 0xe0818e08,
+    0x72c1919b, 0xecda8293, 0xdc31880e, 0x76b7d69e, 0xef7bd1be, 0x99c075dd, 0xc3fd9613, 0xe7688f72,
+    0x1bc53fd2, 0xc5b6885e, 0x91303a62, 0x6c68ce7a, 0x70f3658d, 0xa0591ffe, 0xe76151ba, 0x2b0943b4,
+    0xf37f7a57, 0xa90b154e, 0xb8ffb3b6, 0x67b8713e, 0x9aad797e, 0x107c6021, 0x47b196a2, 0xb3583f30,
+    0x603bcc25, 0x074db3c2, 0x64592426, 0xf00d3fe8, 0xe097a0e9, 0xb31cc405, 0x52af940b, 0xd1ff4aa7,
+    0xbac11e31, 0x195468cb, 0x88c1a443, 0x98aef70a, 0xf690d23c, 0x4cbac04e, 0x87c7dcf1, 0xf19dbc9d,
+    0xfe65f2e2, 0xcfb12f57, 0x1f433e8c, 0xbc0c762a, 0x989f9e44, 0xbebdec62, 0xa40dbd29, 0xa09dad6d,
+    0x7538273d, 0xa8e6f788, 0x7abca1eb, 0xdaac99ef, 0xc6d36488, 0xbb63aa1b, 0x78991fdb, 0x4cc82527,
+    0x98d55142, 0x751f9fcb, 0x68fecd15, 0x92ac5b13, 0x9c7ff370, 0xe4d412b3, 0xa876388c, 0xa08cc4d2,
+    0xba8172b9, 0xd7fad9b6, 0x20fad3f0, 0x8e423512, 0xf1df6ad9, 0xd7b2170d, 0xf5f0799b, 0xbeb5b441,
+    0x39f549d4, 0x12672df0, 0x10ef923e, 0x177b7810, 0xe33fe042, 0x19e338c7, 0x2fa5ce3a, 0x4b682362,
+    0xe9b80cf2, 0x0ab8ec13, 0xac800c6e, 0x573469af, 0x3d86b67c, 0x9b22a4ff, 0xa435d47d, 0x4b862580,
+    0xc5edf2d9, 0x3fda29af, 0x4f18f34a, 0x25a7a233, 0x80a5f312, 0x49662248, 0x6d03cadd, 0x110299ab,
+    0xbd44c8f7, 0x7bc88a92, 0x9794b550, 0x79c305e9, 0xe15a6b6d, 0x1aea04a5, 0x43998957, 0x72c4820b,
+    0xde986bf2, 0xe988feb8, 0x7181cfcf, 0x1055d966, 0x8384e8a8, 0x81a5989a, 0xd0311e86, 0x440086c5,
+    0x20b0f9c3, 0xc20706c1, 0x326162ee, 0xbfbe52a2, 0x9d99c9f6, 0x4881a9a3, 0x460627e4, 0x81192699,
+    0x4be1d757, 0x7719c3f8, 0x62a20816, 0xd00542b8, 0x4275b52d, 0x088fc0b7, 0x0988e95a, 0x501a2eb9,
+    0xf53761f1, 0x1a6d7b80, 0xcea8c356, 0xf4e89aab, 0x3c952eab, 0xcc480305, 0xb917fb3f, 0x2337f026,
+    0xf1eb4492, 0xe5c38ab0, 0x9c52e28e, 0xe9263323, 0x912182e8, 0xf14953ed, 0xdc58c53d, 0x889b9cda,
+    0x26f7edcd, 0x844f7de8, 0x85f822e5, 0xaa5a8f36, 0xb3c6638f, 0xddbc578e, 0x18bb14eb, 0xae945fb0,
+    0xdbd08042, 0x3f5e7ce0, 0xd0084f34, 0x73550a5d, 0x76493712, 0x5ae99542, 0x46a6f914, 0x7c2e8e2d,
+    0x12dd55d4, 0xcf0e367e, 0xb2081210, 0x93abbf05, 0xdd5a254c, 0xe233db79, 0xe6446a55, 0x4ec9d6d8,
+    0xded66fcb, 0xaae777d7, 0x56a88df3, 0x40c5ce87, 0x0ab878d5, 0x2bec3603, 0x7c8a6d2c, 0x7715dfb0,
+    0xcd539ef7, 0x8fe0e5b8, 0x518d1811, 0x18c7bf6f, 0x163ebf56, 0x780709e7, 0xb092493c, 0x688a8c9a,
+    0xb928bb32, 0x72fa516e, 0x66dc444f, 0xe4edce6b, 0x9e9dfc1b, 0xf6d61933, 0xdf87855b, 0xe56fdd0b,
+    0x12c36798, 0x0c7a0f8c, 0xf0d52cb0, 0xed668d06, 0x9d2bf885, 0x4671e93e, 0xe903ad0e, 0x861aff8a,
+    0xd0ded6ad, 0xde934a72, 0x978e3f6f, 0x6e80e82a, 0x5f20247c, 0xb4ce5261, 0x3cae7f0c, 0xeb776e61,
+    0x4c484aa4, 0xfafc2298, 0x930ec403, 0xa261929f, 0xf5c03d21, 0x95709537, 0xd99772f5, 0xa5525c2d,
+    0x529c1d99, 0xccb94ee7, 0x0317629d, 0x650147cf, 0x7ffa9b4a, 0xb9d16c4f, 0xdec8b067, 0x5256f729,
+    0x13c063d0, 0xc75cadbe, 0x4574f25b, 0xd4407363, 0xc6985f2a, 0x688fb11f, 0x74da8003, 0xf9ed67f0,
+    0x3681e39c, 0x467a1c40, 0xac6d2554, 0xc86269bc, 0x73535e02, 0x1705b862, 0x51355eda, 0xf2b9dd33,
+    0xf40d5013, 0x1416ec18, 0x4e5d919c, 0xf0d2439c, 0x8f837c19, 0x57bcdedb, 0x60576376, 0xf7842050,
+    0x486a5684, 0xc9441c74, 0x7c383ac2, 0x250d7c73, 0x7cb414df, 0x7aef211a, 0xa424055c, 0xdb1217fe,
+    0x1f72b55c, 0xff100641, 0x50ce5eef, 0x480d2765, 0x7a1f8749, 0xa0eab064, 0xdc90636f, 0x3ea519f3,
+    0x17ef744a, 0x3425d78e, 0x2ade7ad3, 0x1d1afd08, 0x8f12704b, 0xe97370e1, 0x24b05a8c, 0x63cbbdb7,
+    0x82d83744, 0x8ac50725, 0x3a0540dc, 0x9d3a1bbd, 0x37c29ab0, 0x27bbcb17, 0x75b0b555, 0xb28c22e9,
+    0xfee44284, 0x7c16d682, 0xeda9dc9e, 0x51fdfb11, 0xc91cdfa0, 0xe1c2a989, 0x0e2d0d64, 0x7fd6c908,
+    0xd673c404, 0x23de5517, 0x25dafe4e, 0xdfa115eb, 0xbd3e0db1, 0xf61501c5, 0x744c7cdd, 0xb27a80aa,
+    0xe0466a28, 0xf6f66a80, 0x29842e41, 0x64bb61e8, 0x3d6c5484, 0xd42ba5ee, 0x1bd0ccdb, 0x4a5174ad,
+    0x4f63259e, 0x0ead26e9, 0xa314b3ae, 0xcd7fdede, 0x1c2bfa94, 0x5fb813da, 0x6ec894bc, 0x53f58291,
+    0x3acade59, 0x3e6da543, 0x6f41fc02, 0x76280903, 0x7e30ea2a, 0x65c72392, 0x39d63d04, 0x46fae71e,
+    0xef8984f1, 0xc6184e48, 0x1fec020a, 0x91f0ffcb, 0xfad7cd83, 0xbe82d923, 0x5d7ad482, 0xe0030995,
+    0x10cdba73, 0x4f79b7a9, 0xee4b7226, 0xa10360e7, 0x2c5e9a12, 0xbc96c508, 0x80203160, 0xed5d8cef,
+    0xadfdbf04, 0x168158a3, 0x9c9e868a, 0x8f80829d, 0xabe5cab8, 0xcf507985, 0x4d84ff1f, 0xc4ebcdee,
+    0x9884b322, 0xe50cd9f8, 0x76bf89e9, 0x5d22b904, 0xb9e05f9e, 0x3b69b183, 0xa4c8206f, 0x2525ed26,
+    0x5726be53, 0xa2db9dc8, 0x2dd62e99, 0x4286666c, 0xa072e790, 0xf8c0e039, 0x1d1e7270, 0x8941613d,
+    0xb6c57bfc, 0x19ebe72f, 0xced5721c, 0xdba804a3, 0x470902c0, 0xff990898, 0xba12ef82, 0x0271d36e,
+    0x6b0ec88d, 0xc9e35588, 0x10d2dfe8, 0xe8c8b24e, 0x2bee5495, 0x36427fdb, 0xf0938a83, 0x12206a0e,
+    0xf4969bb3, 0x7e973350, 0xe2e3e95e, 0xd83b383b, 0xa767400d, 0x3fd9f29c, 0x7d54a500, 0xc44723a6,
+    0xfaecbe23, 0x2197a2d4, 0x956075e6, 0x8cad3db5, 0x2627dffa, 0x2fb013dd, 0x05d4c554, 0x0da414b2,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000003369993333393829974333376885877453834204643052817571560137951281152 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb53, 0xa46dab1f,
+    0x00000000,
+    0x8bdc1410, 0x5fda4435, 0x72608528, 0x0d57a84a, 0xcd41f2d7, 0x044ca827, 0x4de0fd5e, 0x59c299aa,
+    0x5023759a, 0xbbf70619, 0x2866a6df, 0x98d82112, 0x7d67d2e4, 0x3cc7075d, 0x82cc4e74, 0x9b54e814,
+    0x02e741a0, 0x484f559f, 0xee95b09b, 0x35867e1d, 0x1d9ba27e, 0x2c599a46, 0xa5b4fd36, 0xaf910162,
+    0xbeae3cc6, 0x567a4bbc, 0x59c40bcf, 0xad603722, 0xc1501593, 0x94361c70, 0x9aa0af3b, 0x5d1586fc,
+    0x0963ff8b, 0xff752b42, 0xe171dcfc, 0x255f3808, 0x7368f877, 0x995b1a85, 0x3d796978, 0x911d3aec,
+    0x386c5234, 0xe01d3426, 0x4ad43dab, 0x854b96c6, 0x2189214b, 0xf265a621, 0xdbc21e58, 0xb5bf857a,
+    0xd313e4fc, 0x6ad34b1b, 0xfccc266b, 0xe9f1cc9b, 0xe818d5d2, 0x2476ce61, 0x586b6ab5, 0x65bf26e0,
+    0x17ea5ce7, 0x6449cdfe, 0xd0326923, 0x5ae3629e, 0xea0a1c35, 0x06e04916, 0xac9b64a7, 0x0e61c0e0,
+    0x5a95c8fb, 0x0fa94329, 0x5e9e5b39, 0x442fa0b2, 0x268869cd, 0xcce9c8b1, 0x093dbe8e, 0xf4210367,
+    0xe04cfde6, 0x794729f2, 0xdab0f111, 0x5ecb7e98, 0xe759f00c, 0x772fa8f7, 0x6abad3bc, 0xcd4717a0,
+    0x8fac9360, 0x6c7917a0, 0x448565b5, 0xba844d5f, 0x18af3e96, 0x73e84e07, 0xffd9fe7b, 0x432a3744,
+    0x2bae5bc0, 0x6466bc79, 0x6f102ea5, 0xa0e216ff, 0xa7210e93, 0x95033fb8, 0x889c402e, 0xe54a969f,
+    0x2edab486, 0xfd0e068f, 0x5601b012, 0xd604c6d2, 0x6106f45a, 0xba8315a2, 0x7e75824a, 0x9b960fd4,
+    0x30682158, 0xda9089be, 0x9222f677, 0x55979c14, 0xf47b29ad, 0xe712c670, 0x669737b9, 0x78033cca,
+    0xb0c3cb8b, 0x29852548, 0xdd02d3a0, 0x9bb56fe4, 0xf6a0c518, 0x8565bee5, 0x773aed6e, 0x597a158f,
+    0xfc79444c, 0x333a639c, 0x59efe123, 0x7942e452, 0xfb103b4e, 0x9211123b, 0x5f6e0ad1, 0x158ca607,
+    0xa2c3d59a, 0x2e9d9c5f, 0x0f124269, 0x4e84c927, 0xa74acea0, 0x6c1cf451, 0xcaa28dcd, 0x8b38202a,
+    0xbb0814d9, 0x0f8132c9, 0xbb250a90, 0x4f64c23f, 0x458e4ee8, 0x9f712ebb, 0x7e816971, 0xf0400889,
+    0x8af933c8, 0x692343ee, 0x4f1356e1, 0x435f9d2b, 0xd878ee54, 0xc423b36f, 0x1b55d91b, 0x87e0e2cc,
+    0x4483350a, 0x1ba7f116, 0x8ad78501, 0x86894c91, 0x47f1e5b9, 0x43e4898a, 0xdfd65e9e, 0x45f13833,
+    0x8a5fe444, 0x641768ff, 0x79934d4a, 0x37be511e, 0xbf791248, 0xa9307735, 0xbdff4f73, 0xecbd181f,
+    0xcbbbd78e, 0xb1e353cf, 0x98f1c983, 0xf8d3e08d, 0xca63232a, 0xe34777fe, 0x8d54d676, 0x062b240c,
+    0xd07f8b02, 0x4d38dcbf, 0xbc9ddf08, 0xb61078f5, 0x5448d296, 0x3c8fa5d0, 0xb021ad3f, 0xf0c94243,
+    0xfd68cd27, 0x88b90989, 0x57d1255a, 0x11a3921d, 0x8f8467f3, 0xb6478de4, 0xc574c888, 0xafeec11c,
+    0x4b9f6645, 0x011b51c4, 0xe8d14dcf, 0xb1eff263, 0x9b31601b, 0x73d798a1, 0x2fca349f, 0x407b0f02,
+    0x5313f42e, 0x3c74d691, 0x9e4dccae, 0xe20bad06, 0xf3ca1437, 0xce2b214d, 0xb6cb469f, 0xfd32981f,
+    0xd80b361e, 0xf9a707ea, 0xc1f63f31, 0x0f05f937, 0x003affbf, 0xb8ef7e0d, 0x44071873, 0xacaf64cb,
+    0x72ae5ebf, 0xc612b9ff, 0xc3b0f94b, 0x1bd10b6c, 0xe0ccea9c, 0x6bb1b972, 0x165ead06, 0x26a307e6,
+    0x80acce72, 0x9288f422, 0xcfef8067, 0xe9967fc8, 0x3961204c, 0x3239cd03, 0x4c2cb37a, 0x844fbdc7,
+    0x5cf58c50, 0x84afa452, 0x34c1f8c3, 0xd8dab36e, 0x2a27cf07, 0xbb296741, 0xaa816220, 0x5673e5a9,
+    0xd5ed5b60, 0xf1f50f89, 0x47aa566d, 0x880689db, 0xe57f2425, 0x0f4561a0, 0x873329c8, 0xe04a761c,
+    0x4677d13d, 0x3a88ec4e, 0x31198182, 0x81c2d678, 0x257fb280, 0x8ba96040, 0x9105c4d6, 0x8abf8b53,
+    0x8f4a0c4a, 0x746e7e3b, 0xd965541f, 0xf0270aff, 0xd5b7250f, 0x4161e452, 0x49d49095, 0x6b5f787f,
+    0xa3787514, 0x192283a6, 0x9dd4b93c, 0x20450192, 0xe1cb43ba, 0x71d7976c, 0xaf556ce2, 0x782725a9,
+    0x1aa6845c, 0x6b099c9a, 0x2c8ef4e8, 0x0434ad96, 0x874f4edf, 0xfc102898, 0x7176dfb2, 0x002bbc33,
+    0xfb78d5cc, 0x6a2972ca, 0x928c6e8d, 0xb2d84d06, 0x20c7b847, 0x42ae6a4f, 0x360993d8, 0x769ea865,
+    0xc573319d, 0x5f37e02d, 0xe98e2cbf, 0x2138767e, 0x0ff279ed, 0xae21355d, 0x9c89fa28, 0x7ba549fc,
+    0xe378fe9e, 0xd0776de0, 0x09892e9a, 0xd3749ae2, 0xb8e346eb, 0x78c407fa, 0x3513a04b, 0xc9df65b4,
+    0x518ea9fe, 0x403e4b46, 0xb2c1b0a8, 0x2eea0ae1, 0x7bc581b3, 0xa9baab68, 0x716f8bba, 0x48f0bd5f,
+    0xd4cf17d9, 0x0c78c23f, 0x47dfcdb3, 0x5a457d94, 0x27955933, 0x9566bc77, 0xa744d0fb, 0xde756c12,
+    0xba06c090, 0x2cd22123, 0x8b37b619, 0x5077f556, 0x95948edd, 0x384f19a9, 0xee94c707, 0x30ff3589,
+    0x4ba9bf6b, 0xb9dc4141, 0x1b768010, 0x9d0e8d12, 0xe5e9934a, 0x09f85e93, 0x6fc84ac9, 0x2778b427,
+    0xf8f18e30, 0x54247fbb, 0x23b913fa, 0x7366e061, 0x1dc49840, 0x2b529c9d, 0x0b5cd269, 0x4c4f4439,
+    0x2683fd08, 0x58f550a8, 0x6ba50746, 0x24b6a276, 0xc76d1017, 0xa822644f, 0x6d393c74, 0x54202234,
+    0x043ca7e8, 0x7cf91633, 0x456cd4a4, 0x6daeb99f, 0xc61deb66, 0xb5ab23cc, 0xa1f755d2, 0x9b3f787a,
+    0x7657b4a2, 0xbf52559b, 0x00837100, 0xc7559c97, 0xea956329, 0xffb0e32c, 0xcccde42b, 0xfcc9fd9f,
+    0xfe4be698, 0xe7d0f2ca, 0xcca7d0ab, 0xcd6e8d40, 0xfb40a04c, 0x91769ffe, 0x7a8c150a, 0x0bf3a52c,
+    0xa7dc389e, 0xc977246a, 0x3d59b3c8, 0x9dd0aed5, 0x1ea95ff2, 0xeb6b1b33, 0x41a79a1d, 0x69d3641c,
+    0x809ff87f, 0xad53f947, 0x82046efa, 0x2503e978, 0x091787b8, 0x97adb0ce, 0x2ed7f573, 0x92bb8085,
+    0x80167eed, 0x936d24d0, 0x1fab1925, 0xbae8608a, 0x44466d59, 0x6193db66, 0x7c7ea0d6, 0x95b24c7f,
+    0x7937c8f4, 0x35e074ac, 0xc3962d3c, 0x9c8814ee, 0xab015f82, 0xba4718ff, 0x28d19481, 0x5cf827c3,
+    0x3714f93d, 0x70e0338f, 0x9ad07e6e, 0x4327f2c4, 0x9411c14c, 0x75a7ee71, 0x1e72bd8a, 0x8a4f02c2,
+    0x2685631b, 0x38034e37, 0x8e7ab042, 0x7850ee10, 0x409176c0, 0xa06291e3, 0xb3b3a07d, 0x55f02a2f,
+    0x38ba6c2f, 0xe9c8fffd, 0x594a3943, 0x7de6e4f7, 0xa1890c6c, 0x8931027b, 0x9715ce80, 0x7cb6b7db,
+    0xae26f541, 0xa2dfa452, 0xab7588e2, 0x6906753a, 0xe4467916, 0xc570ef8d, 0xc4fdc3f3, 0xb74277bb,
+    0x4d5c6c8d, 0x45e6eabf, 0xa2914bba, 0x9b860c6a, 0x26ce5238, 0x1d4153b7, 0xeb4a8cdd, 0xb41b164e,
+    0x902740d4, 0x2a441d71, 0xd084409b, 0x50c62abb, 0x7529ebb4, 0xcb36d8e6, 0xc8b244dc, 0xff5f837b,
+    0xafc8fcce, 0xf5196e12, 0xc8f53f00, 0x0a19408a, 0x8589e12c, 0x661f2af5, 0x6202bc59, 0x69f2c86f,
+    0x1ac096dc, 0x79142a8c, 0x7d56f070, 0x291ca815, 0x0b93dbd6, 0x83f255a9, 0x5c2cfef9, 0xe27fe8aa,
+    0xcf394624, 0x5fc8099a, 0x9b1e57da, 0xf881c711, 0x05881413, 0x0881f331, 0xa337c8ed, 0x76624bd4,
+    0xa3b5e38d, 0xfe78349e, 0xb8712a30, 0x5e2bd52f, 0x7f09da26, 0x665528ee, 0x316df084, 0x84690a14,
+    0xb3901a42, 0x545f1547, 0x75268afe, 0x788f8dd0, 0x99b354af, 0x2fe26635, 0x27af74ba, 0x6b34a19f,
+    0x9e258f4c, 0xaaed29d8, 0xed21df99, 0x05324e0e, 0x6674c10f, 0xba9e685c, 0x42d9f413, 0xb7d94913,
+    0x7a0c90dd, 0xcfb51936, 0xe1cd59bc, 0x48cbf340, 0xfc25d08e, 0x99f87370, 0xfc0f648c, 0x03dc5d0b,
+    0x842c5b4b, 0xa31fb152, 0x06a33cc3, 0x530e21df, 0xaa067f2a, 0x4769fdaa, 0xa67f1be3, 0xda0158bc,
+    0x6aa1078e, 0x24f2e5f9, 0x80dc59ee, 0x1f53ba49, 0x7eeca8e9, 0x6d3d9a2d, 0x70a7ae16, 0xb2c66c30,
+    0x19577363, 0x64ee1d81, 0xab86d88c, 0x838bb587, 0x8d309f9a, 0x9a34cd3c, 0x5bc9fe67, 0x4332a0fd,
+    0x825e889f, 0xbdaf90c7, 0xc6764f75, 0x889e48f5, 0x6bb49980, 0x0f47924a, 0x9866b029, 0xdaa653ca,
+    0x21436668, 0x01a0a69a, 0x1b92b3ac, 0x3d760c6a, 0x62e404ad, 0xc3544618, 0x7bae99e7, 0xda61a46c,
+    0x1b37d585, 0x94565c46, 0x0d81b901, 0xb15821af, 0x87cb0fdc, 0x513e7dfd, 0x91fefedd, 0x6c7e4ce2,
+    0x5661becb, 0x3c9daa62, 0xb5d3271f, 0x58a3747a, 0x45e940d8, 0x7b5d026a, 0x0eb8f036, 0xed618d77,
+    0xc7b424f0, 0x74bdea18, 0xa1c501b6, 0x85a79aa0, 0x91e7c6e0, 0xb570cf59, 0x12772f41, 0xc94b9f6f,
+    0xeb8dcb72, 0xb5f4c02a, 0x9a30f377, 0xefd4473a, 0xd9754492, 0xdb09814d, 0xe73e49c0, 0x7232c1c3,
+    0x7fa4f7f6, 0xd20cdc62, 0x8dd8428f, 0xe81089fb, 0x00ad6e22, 0x8ae3991a, 0xe9766963, 0xdcffb6a3,
+    0x7f61377b, 0x9d736e1d, 0x56a5299a, 0x98e97417, 0x860620a2, 0x41362248, 0xd0d3788f, 0xae7036f4,
+    0xa9fe3a1a, 0x57bd0b52, 0x777f7b83, 0x014fb519, 0x12b8567f, 0xb4b68ba6, 0x04d54635, 0xe521b822,
+    0xab04c8a7, 0xfddfaab1, 0xcc845041, 0xb0299afe, 0x1533315a, 0x0eca8c54, 0x94952a3b, 0x799ac2ad,
+    0x9a929b47, 0xf498bb7f, 0xa1321faa, 0x60f93f2f, 0x46567d99, 0x810bea49, 0x9485ec58, 0x71aace5e,
+    0xc980ee14, 0xb440844b, 0x5d1c5211, 0xc11a4ba2, 0xffea263d, 0x22a5ea23, 0xbd387601, 0xf2b5790a,
+    0x56fb065b, 0x0399ae70, 0xac81cbc3, 0x64ee4393, 0xa0b59d18, 0xf16fb2c2, 0xcd2baf89, 0x9f77ceda,
+    0x456c0afd, 0x5964db78, 0x9556dc4b, 0x0527d9e8, 0x8d56fb0f, 0x2f35bb50, 0x0509f27c, 0x4bfe2b01,
+    0x05fe8445, 0x60f23910, 0xabfca97f, 0x1afe5ef5, 0x2e2533aa, 0xa8495687, 0x6713cfde, 0x3445155e,
+    0x6b8f58d1, 0x48fa55ea, 0x82233a2d, 0x7046b954, 0xaa398ba3, 0xac01866d, 0x96c7f344, 0x909f93c1,
+    0x43b78a84, 0xf213cebb, 0x79f2d17a, 0x67e80f74, 0x43f2fea3, 0x8cf58c0e, 0x3c22813e, 0xdca007ae,
+    0xb7c879cc, 0xf06ab4be, 0x269747d7, 0x9786cab1, 0xd526e4ae, 0x4bc2d25c, 0xdbe7d53f, 0x05e5e494,
+    0x6b866a1f, 0xd461bd77, 0xc6654323, 0x7468a942, 0x39180cc0, 0x7b6ed2e7, 0x1734e87a, 0xac5fe578,
+    0xbb98d6e1, 0x41635b3d, 0x318566a2, 0x8c7e2f11, 0x49a74267, 0x6ebc57be, 0x0fe652e4, 0xa24f2930,
+    0xa43974ff, 0x17dba70b, 0x127decdf, 0xdb41b22e, 0xeeeaeede, 0x16b0b9ec, 0xa0be78fd, 0x0309e67b,
+    0x7d184682, 0xaa1f5691, 0xe9bd99e4, 0x58731bb3, 0x20299dff, 0xcc9a6bcc, 0xba7244fe, 0x287cdd09,
+    0xaf632cb7, 0x8df43928, 0x417dbda9, 0x8394ea52, 0x2ae33b25, 0x9afc2569, 0x34ea0567, 0xfbf748aa,
+    0xafeb886f, 0x23146ea7, 0xb4b8e496, 0xf1cbd88e, 0x0d3488c9, 0x95c0221a, 0xc945e7e0, 0x45a2fc89,
+    0xc7b95e07, 0xa9a318e8, 0x7e26db24, 0x04b81fb6, 0x7c85fc33, 0xcb051aea, 0x2394e6bb, 0xc9927fdf,
+    0x62a5c03e, 0x28e5fd76, 0xc4a438c7, 0x3057f865, 0x9da1a172, 0x4c38c558, 0x3db65d76, 0xc74f3531,
+    0xcf8fc80e, 0x62e183c1, 0x1608f32a, 0xceff45b2, 0xe269c85e, 0xab846817, 0x7f722244, 0x28b5c56b,
+    0xc1e58931, 0x07424adf, 0xacc739c0, 0xc47a0725, 0x79d5abe6, 0x0e6a952c, 0xc528080e, 0xc9e17044,
+    0x1aed2f4d, 0x8c7697bc, 0x6910a7d6, 0x942e3a00, 0xc3c48c02, 0xa78c7374, 0xa961f783, 0x7c6a7505,
+    0xbc52fc5b, 0x09c9eede, 0x7644eb9f, 0xb02ca283, 0xe34958d2, 0xd6c8731f, 0x29a6860a, 0x320dc8d4,
+    0x723e07dc, 0x0bdf1db4, 0xb3c1b03b, 0x4a4ed5ba, 0x2666fa87, 0xc989b8b5, 0xa85bf342, 0x4cd6f979,
+    0xca4925e9, 0xb36785e2, 0x14a077dc, 0xb27aeef9, 0x943c25e8, 0xae343314, 0x43ff373a, 0x8fb937d5,
+    0x4fc44bdd, 0xc4c7b4b2, 0x6786c390, 0xcd71892d, 0x65766e74, 0x49aa436c, 0x415b54d9, 0xf6cdd3ef,
+    0x7565ce33, 0xc1ef3ace, 0xc917df62, 0x9afd04f8, 0x6449393a, 0x4dd3cf52, 0x25405860, 0x8b306d70,
+    0xba16756a, 0x18150550, 0x03c08f12, 0x61931350, 0xeaa5049e, 0xf119a404, 0xea676d93, 0x6f25f955,
+    0xd03d45b6, 0x0d249e87, 0xe45b8d80, 0x66c2fe19, 0x3c0e0aba, 0xee098700, 0x76f82d64, 0x7556072c,
+    0x4f73694d, 0x61f6a605, 0xff601ee6, 0xee95f061, 0x906410e0, 0x8ca219e1, 0xd8a35bb7, 0x9b9a7343,
+    0xcfb421aa, 0x71cb9ad0, 0xdefd679b, 0x47020479, 0x707be95a, 0x311edf51, 0x307618a4, 0xc57a2378,
+    0x5007d4f4, 0x90351ae6, 0x2130a6a3, 0x5c87eaae, 0xb0ffd9b2, 0xcd90ccaf, 0x9b255ca0, 0x341fa2c8,
+    0x7017ffc3, 0x244bae12, 0x5ee29c0b, 0x740d4515, 0x42b18508, 0xdb5e8d73, 0x23b17cf0, 0xd6475f13,
+    0x8742ee89, 0x639e006d, 0x329cc843, 0x68935524, 0x6de12109, 0x62adf8d8, 0xf94c5a5b, 0x87f92530,
+    0x038c4d34, 0xaf131976, 0x25f0e39b, 0x5fb5fb8d, 0x1702838f, 0x48144442, 0xc2da471e, 0xc5c364ce,
+    0xd3654e66, 0x758b32e0, 0xa2a908cc, 0x8eb18b2c, 0x2af3bb69, 0x5cbea624, 0xb00c6b15, 0xd7642939,
+    0x22850025, 0xa95f1313, 0x1e44b9fa, 0x888fb41a, 0x108c0118, 0xbc3e5057, 0xe5f2b69e, 0x29297fdd,
+    0x0f2cd347, 0xe2e9a0ca, 0x387dc5a0, 0xaae5c277, 0x5043153a, 0xc7d77885, 0x79800d17, 0x2edbbc08,
+    0xfc3206d1, 0x131f9326, 0xaee31fca, 0x4d57c5ad, 0x4ead1146, 0x454559a5, 0x154f7cfd, 0x520d8275,
+    0x42f0a95c, 0x3a2b4dd9, 0xb9789d52, 0xff0b2cc9, 0x7e64b57e, 0x97e58eb4, 0xece41315, 0xe633aaa0,
+    0xc063a586, 0xa82aaec1, 0xbec88355, 0x3e3daddc, 0x3fa0352b, 0x4474f18b, 0xbcd5d732, 0x51fdcc51,
+    0xed2fee59, 0x0c01a8f3, 0xc6db1812, 0x58d9cb1f, 0x6793fcd6, 0xbef7fe4f, 0x2978023c, 0x93caee67,
+    0xc2b4f1b9, 0x6a076a1e, 0x87746f8c, 0xf5bca7bd, 0x2104c7e7, 0xdbd01e28, 0xddc30ee6, 0xe27b2a32,
+    0xda5da90e, 0xd543f839, 0xcf570e39, 0x6615c894, 0x3cb9b51c, 0xee875368, 0xa86b52d7, 0x1494d66f,
+    0x8469af12, 0x5356aecd, 0x5849b40a, 0x00175709, 0xcd546698, 0xc90e6b2e, 0xe410c81a, 0xa0b0a8f0,
+    0xaf464a47, 0x88098382, 0x29c77c39, 0x24560e05, 0xdaa5d4e9, 0x0bce3acf, 0x882af41b, 0x0df1c947,
+    0x966f8c16, 0xff0360c1, 0xfe108add, 0xba6313ed, 0x51e1713c, 0xa0af0195, 0x251bccd6, 0xa7551262,
+    0x4ab585fd, 0x451cce1a, 0x67aebd9f, 0x51a1e78b, 0x00e08fdc, 0x98f98931, 0x54c19c0a, 0xf1e8fca7,
+    0xc736a283, 0x48b757c3, 0x096af537, 0x89bfa25a, 0x75ba7122, 0x1f8dd9cf, 0xe6950ddf, 0xc1301575,
+    0x871bb356, 0xcc903d20, 0xeab1e107, 0x788f8071, 0x2d276376, 0x039c0079, 0xbe63ef6d, 0xbfb29edb,
+    0x54fe50eb, 0xa260134a, 0x84d951b1, 0x3296a32c, 0xd16992f4, 0xf24622b2, 0x7e169bde, 0x268b0f80,
+    0xdc35109f, 0xc6f7a113, 0x7131c8fe, 0x75e76c8e, 0xdaa1f89b, 0xb783d54c, 0x894603ba, 0xe7db0bdc,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000001684996666696914987166688442938726917102321526408785780068975640576 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a9, 0xd236d58f,
+    0x00000000,
+    0x85cc6aa3, 0xaa05fb52, 0x11107908, 0xa4a8f0f4, 0xc7f69cc5, 0x4ccb14ea, 0x4e0803e2, 0x82b3b75c,
+    0x1e778bac, 0x55159a4d, 0x8f57c310, 0x50435c10, 0x8b9f2a85, 0xa5c5f82d, 0x1ccc7283, 0xba8a4f42,
+    0x2cdca144, 0x6d050f2f, 0x016d08a4, 0x43ee8c9b, 0xa9146715, 0x93236613, 0x4722cf92, 0x29dfda57,
+    0x7a4801a0, 0xbe696e64, 0x65e6a982, 0xe12b73ed, 0x5ec87d58, 0xb3e1b3f7, 0xb403522b, 0xcd72a93e,
+    0x4a54d550, 0x14d7751d, 0x014c1475, 0xd5a3cbc1, 0x9901a0ae, 0xa33d32de, 0xd5b707f4, 0x767a7b2d,
+    0xd720aa6a, 0xdf694a9e, 0xfdd785a2, 0xe85f42e5, 0xced0e322, 0xdb3fe18b, 0x24f07b35, 0xe9ea8eed,
+    0x507c338f, 0x8e8a830f, 0x5523be1d, 0x50825d33, 0xc2e7ef2a, 0xb6b7f3c1, 0x49b19423, 0xecbfb401,
+    0x6421ac22, 0x881d3021, 0x212611ff, 0x5bab93bd, 0xfde83e76, 0x0bc5d61c, 0x4db524a1, 0x651ee5fe,
+    0x2a6f2855, 0x87286127, 0x8ed796ac, 0xb5053ada, 0xa3ae876a, 0x764b47c5, 0x281db3d6, 0x93953d40,
+    0x61c5158c, 0x5358e21c, 0xd6f97198, 0xee833777, 0xe4aef28c, 0xf998cf04, 0x210ed1f4, 0x92a47a25,
+    0x9471e52d, 0x1ef0c32e, 0x219aca0e, 0x00e0137c, 0x652bc565, 0x4a09d587, 0x0de2fb40, 0xa3b98cfd,
+    0x6052dac0, 0x1117533a, 0x2d29a0a7, 0x6cb14b53, 0xc58ae62a, 0x82a04e29, 0x5f4b4860, 0xa11b002f,
+    0xa41b25e1, 0xfe8636d0, 0xa7ffead9, 0xe5118671, 0xf5938b9c, 0xdac59a7e, 0x656e7311, 0xee78dc8c,
+    0x7cbcd40f, 0xe1ef8532, 0x28b3f648, 0x82351c5c, 0x902cd926, 0x23c00dd5, 0xb312646d, 0xd6840e3e,
+    0xb449fc50, 0x24360d77, 0x6b3e5cf0, 0x226bd596, 0x4d23a17f, 0xc0a71b17, 0x3e35eb19, 0x7fe62c1b,
+    0x486b596f, 0x3425d262, 0xde7e4f09, 0x0afe91c9, 0xe4c86285, 0xfd66838b, 0x38fd60ca, 0x14df64ed,
+    0xb8fd876d, 0x72861670, 0xcc43d41e, 0xd18d7852, 0x69f015d2, 0xa223468d, 0x2c712cbf, 0x498ca408,
+    0x42e99bf8, 0xbd946112, 0x4303f89a, 0xe8ce4cd0, 0x9852a3a4, 0xba57207a, 0xdbdd9bcd, 0x8bd48eba,
+    0x44387508, 0x863a187b, 0x1bfd9aaf, 0xb6b06860, 0x49cb74a0, 0xab3bebbe, 0xb4781d94, 0x684de784,
+    0xf68d9216, 0xa083339b, 0x8d51f371, 0xfc165bb0, 0xe2fca946, 0xd8b13e07, 0x2649e816, 0xed3b2ac5,
+    0x120cde39, 0x419ed893, 0x72ec172a, 0xb5ffb531, 0xd676fcbc, 0x8f0af768, 0x571b09b8, 0x4157115b,
+    0x6054f074, 0xc68c72a3, 0x0f28ba2c, 0xfc174c32, 0xe1278630, 0xc335ef7b, 0xdfadea92, 0xaca18a4c,
+    0xf86bc74d, 0xdfdc9f34, 0x5286efa7, 0xb661e60e, 0xc716b617, 0xcb4d315d, 0x8d32a2e8, 0x0ad672df,
+    0xdb387670, 0x2668a9ea, 0xe669d2e5, 0xe3f40217, 0x2c062831, 0x0687ddc8, 0x37ef4fd8, 0x929f1fb4,
+    0xc5f0db98, 0xe00ddf2c, 0x8ed9d0b9, 0xecfb3ac6, 0x1139e199, 0xbafb9608, 0xf90e8425, 0xb74bbf5b,
+    0x7d2b1bf9, 0x06299972, 0x19ef6cd7, 0xa064d710, 0x8681a737, 0x5ab96421, 0xe105b5f0, 0x2df8d019,
+    0xace5ebf3, 0xcd2bac8b, 0x3a8df4bb, 0xa49b42a4, 0x4eaec49b, 0x837e546c, 0x04fdf6c0, 0x51b776d6,
+    0x3169d306, 0xc91d873a, 0xe6553a99, 0xe4579bea, 0x0368ce06, 0x41e8524d, 0x6d38b925, 0xc12995e3,
+    0xedf2f51f, 0x3ba4f8dc, 0xf4f18759, 0xce8686f0, 0xb85554e5, 0x6036cae1, 0x83359ec0, 0x30f7bd8f,
+    0x59d380b9, 0x38269e46, 0x64140433, 0x8a96f32c, 0x0b1128c9, 0xff9e54e3, 0xf3c22136, 0xce303cf0,
+    0x08e4ee3b, 0x6d02f59b, 0x2a66e2b9, 0x2e1c45ac, 0xa1acd2cc, 0x66c533d8, 0xc1aafb42, 0x1ce7aee5,
+    0x2e1f2545, 0xd35d85a3, 0x35552754, 0x281cefce, 0xbf15df29, 0x3c173867, 0x0a2a986a, 0x1c28f535,
+    0x094b659a, 0x3dde48e7, 0x5859e4c5, 0xc5161aee, 0x0a0f6765, 0x582d60f8, 0x89bbe172, 0x81e9d7e3,
+    0x295c41ec, 0x7ead00dc, 0x082acfa8, 0x3379ef39, 0x1757b58e, 0xc22d2658, 0x2d306164, 0x15fa90be,
+    0x93a18676, 0xde934788, 0x3452593d, 0xb2d9291b, 0xb46bc239, 0x28f68ec3, 0x281942e2, 0x2336bfb8,
+    0xa97d216a, 0x988d2a6a, 0xf2d93422, 0xa0bae70c, 0xc3313328, 0x753fcbe4, 0xd775cdb5, 0x5aeb360d,
+    0x58915a32, 0xb473a349, 0x8265af5b, 0xcf5f2c6e, 0x885d3803, 0xf36ed37b, 0xc9c93d81, 0x78b14e4c,
+    0x1cd2f21a, 0x2e3d2505, 0x0e617ec2, 0x3146d610, 0xb1fead1c, 0xee2fa4d1, 0x6e455f01, 0xf12a9f7a,
+    0x30ca0b3b, 0x68fd6f63, 0x85161434, 0x2b3ea5ad, 0x7d47e84e, 0x301f13fb, 0xc9d2de3b, 0xd561b8e5,
+    0xb0eca0b3, 0x81f3c5b9, 0xa045f0b2, 0x5a3724c3, 0xca49137e, 0x90727eb7, 0x43c9092a, 0xf0658537,
+    0xb20a0ca2, 0xb25c696f, 0xff218d4c, 0x52d7e48a, 0xa15d1f65, 0x6802e226, 0x6ae4d13d, 0x2997d1a8,
+    0x0a5f51f0, 0x6e38a62b, 0xfb0b34f8, 0xfe224a0e, 0xfff7c397, 0x58494486, 0x8bd10c66, 0x42a70f27,
+    0x4b69bec3, 0x12fcc88a, 0x6e279cf8, 0xbf3f1402, 0xfc855def, 0x65688155, 0xc4ce6e29, 0xdd0ee416,
+    0x996696d0, 0xd1f220f2, 0xf6ea2251, 0xac90df3a, 0xf419b459, 0x218d71af, 0xee5c4f3d, 0x83e82079,
+    0xa55d0bde, 0x944fbf58, 0xefa2057e, 0x4336547d, 0xb8c1f5c4, 0x4af3d1cf, 0x45cdfce1, 0x5eec0aeb,
+    0x296dd074, 0xbd311fd5, 0x21c293d8, 0xf6677f78, 0x6ee16c87, 0x459c74ab, 0x834768ee, 0xfada336b,
+    0x2cc3e872, 0xdb9e7254, 0x6ea35e62, 0xcfa52e55, 0x6cbdd8bf, 0x43557e92, 0x02eb24f0, 0x25bafb1a,
+    0x04d3985a, 0x9857ee8c, 0xd446ee41, 0xad297d0c, 0xd3218ea4, 0xd5b1f5d0, 0x695efc35, 0x95379532,
+    0x536d78de, 0xc1995b74, 0x8d231eab, 0x655326e4, 0xaf043b0f, 0x8993e41b, 0x0e9fd7df, 0x26742ef9,
+    0xe9af5ca0, 0x79d14b81, 0x5dce05f0, 0x28039808, 0x571ee718, 0xfef24344, 0x9f6e453f, 0xc0424a33,
+    0xef2632b9, 0x63e7d24d, 0x8b36165a, 0x8cdc397c, 0x4485fa69, 0xad8ae21d, 0x7b463fd3, 0xb904acdd,
+    0x55e427de, 0x535bc3a5, 0x64cbf802, 0x1c0557c8, 0xa37cdcf2, 0x58675930, 0xc15a7ebc, 0x2b2a9d13,
+    0x513062f3, 0xcec064fb, 0x85452293, 0xd4509754, 0xbc5d55b9, 0xfc7daba4, 0x8a1f2c64, 0x88639c9a,
+    0x72d2625b, 0x29cc1b55, 0x0dda624e, 0x8f094269, 0xf98cd0f3, 0x35553376, 0x04354da3, 0x45518824,
+    0x7da9a269, 0x2d085875, 0x73b4aed2, 0x5d5c4b8a, 0x10e72c80, 0xc024f40d, 0x582f6b66, 0xf9ef782b,
+    0x5c4d859f, 0xc6658463, 0x633f27a0, 0x24f3f62a, 0xdfd9588e, 0x17361588, 0x64eb9199, 0x956a19d6,
+    0x32ed011d, 0xf8a094e0, 0x30b69bb0, 0x3836d1b5, 0xef082280, 0x6e40b667, 0xd9c65ae0, 0xd4a04cbc,
+    0x3a7454ab, 0x6c49daae, 0xdd163238, 0x71d0ed60, 0x6420d462, 0x2fc79038, 0xfefe4bfd, 0x6a598d75,
+    0x6233a44f, 0x6679548a, 0x5b79d002, 0x33ec3c56, 0x48488423, 0xa8e995b7, 0x9ddb8be9, 0x96fab6f9,
+    0xb9ffcb10, 0x35e8bb94, 0xe6e5855c, 0x1deef261, 0xfdcb4299, 0x5b1c7631, 0x9f758025, 0x159b316f,
+    0xc4e286a1, 0x5c511075, 0x84ef3ff1, 0x31f44bc2, 0x7f628692, 0xacf4b4f8, 0xab2031e9, 0xd196aef5,
+    0x938af207, 0x2cee1929, 0x31dbe434, 0xa1042437, 0xb4e5e881, 0x354ebc7c, 0x7ce4c660, 0x1635c5ef,
+    0xe036c004, 0xa82752ec, 0x61679b42, 0xb1ca24b4, 0xfe6527fe, 0x40a2c9b1, 0x5528f253, 0xd72ecd8f,
+    0x2b7438a0, 0x3ae7c6eb, 0x8ec78a4a, 0x4669e665, 0x8e6ccc02, 0x4c5cb882, 0xf84a1568, 0x2f75b49d,
+    0xde1b0a64, 0xc795ec9d, 0x41ff4175, 0x70c7d575, 0x6876d39c, 0x9e821a47, 0x666761eb, 0x27ebfa90,
+    0x6d278a7d, 0xeda93521, 0x0444a2b3, 0x5abaaa14, 0xc3d28a8f, 0x44e280e6, 0x22ae73c3, 0x88bc3662,
+    0xba259d0f, 0xbd43aee7, 0xace252a4, 0xdd1e7783, 0x77ec2851, 0xd167de95, 0x9da735be, 0x34df5625,
+    0xef2f8eae, 0xd7417188, 0xd405b45c, 0xf9343b7c, 0xe216294d, 0x3285796f, 0x6be2f426, 0x565cb158,
+    0x23f39b1d, 0x241fa0dc, 0x00091ad5, 0x0315c130, 0xc997cd8d, 0x2fbd6959, 0xed879fdd, 0x3f857241,
+    0x4646aee8, 0x219af422, 0x996bcff6, 0x0aa77146, 0x126ff1e5, 0x3b0354b7, 0x53a1e8e1, 0x3ef59bd7,
+    0x8ae1e741, 0x843172bd, 0x02f7e2fc, 0xad50c2c9, 0x13dd13e0, 0xd8552e02, 0xbbaaffda, 0x9663b300,
+    0x57b95b55, 0x2aa81535, 0x1f4cb72d, 0x3c3067af, 0x073c3b29, 0x50890b76, 0xd5af51d4, 0xf8768d78,
+    0x8c8048a5, 0xf2616d03, 0xc0d724c9, 0x794c3934, 0x5b5c9a8e, 0xc52e3654, 0xb0bf2428, 0xaaa8e28d,
+    0x14d2af2b, 0xdfef1d70, 0x061afc8c, 0xc3bf6824, 0x7685f506, 0xed9b7296, 0xc6f44ad0, 0x0a67546e,
+    0x157cfacd, 0x837e2cac, 0xca4e466e, 0xda6371c8, 0xcaf2c532, 0x3f8dc3ec, 0xe0bf03c1, 0x53dba9ed,
+    0xb57ce164, 0x1a148854, 0xd4a1dd40, 0x0b7621db, 0xd6c895ff, 0x30eb236b, 0x4757de48, 0x5dd20496,
+    0x2639c280, 0xfdea4ab9, 0x1bcbb77e, 0x3b9e5b95, 0x23cecb0f, 0xb4db6e4a, 0x79873c9c, 0x4eeb2f84,
+    0xfedda539, 0x003a28df, 0x85e750fe, 0x6320f1dd, 0x7b9ba1dd, 0x506a574a, 0x08494189, 0x29c069f8,
+    0x5bcad512, 0x5c530d7f, 0x47b2d340, 0x8d120887, 0x32341a34, 0x5d3be39a, 0x7e5e2e81, 0x3e65b97d,
+    0x694e946c, 0x159ffc89, 0x0d9284bd, 0x9bc7b6c5, 0x1aa9f23f, 0x52abc1e4, 0x847d0860, 0x9f980d18,
+    0x9132fd05, 0x71e9ae04, 0x523870b3, 0x0958b7f8, 0x7dfcefa3, 0x7d88855d, 0x69b9774a, 0x54b3f608,
+    0x6fdb638e, 0x7b68b3a8, 0x42c59a9c, 0x0075d005, 0xa081da84, 0x75a1946b, 0x460c98be, 0x541ac827,
+    0xa663d126, 0x1dda1031, 0x80701a50, 0x0042b050, 0xeaf1f2ed, 0xfbda8e6a, 0x6c06f68b, 0xeb5d0abf,
+    0x42463de4, 0x429dff9f, 0x8a0daaaf, 0xa885d57e, 0x654f3d34, 0xf2911896, 0xea46c5b4, 0x000d2d5b,
+    0x6b405da8, 0xafb8c74a, 0x59bf5d4f, 0xce2db1b2, 0x6cb68537, 0xb6fae4dc, 0x54c73a1b, 0x4ccba440,
+    0xf9783822, 0x1f3472e5, 0xc51dca71, 0x2b7115a7, 0x3bcc7153, 0xc9df789f, 0x4cf2d709, 0xfef36bdd,
+    0x2eb2a52a, 0x632920de, 0xa8ab5b3f, 0x8b6b656c, 0xabbaae6f, 0x91608248, 0x2e41a4eb, 0xac13bad2,
+    0x01a8a48d, 0x76704637, 0x305251f9, 0xed7bbce4, 0xcb79642d, 0x22fda25f, 0xd57be42b, 0x337d6824,
+    0x7f8a2b69, 0xf299acdf, 0xe6ed189e, 0x2ab15645, 0xeb3e7844, 0x72dd3d21, 0x94e3724c, 0xe7b5fcdd,
+    0xf0f41fde, 0x001021c4, 0x79ef67ff, 0x553ee3c6, 0x5cf0a564, 0x8da5479d, 0x674f2087, 0x7042f53f,
+    0xfa7d6a57, 0x6c331432, 0x7f14e7eb, 0xbb01b87a, 0x2a93eb39, 0x175b683f, 0xc3da1181, 0xeda438a5,
+    0x815c2c69, 0x989f702a, 0x99b7733e, 0xf4639126, 0x75897015, 0xfbdebb85, 0xdb095514, 0xab46f653,
+    0x7fdf8859, 0x4d39c884, 0x8f43dbec, 0x1ed0153f, 0x13d14015, 0x9d155bf1, 0xa2f5c770, 0xe6b01f6d,
+    0xfb335aac, 0xa7002fd2, 0x27d2717b, 0x848b3492, 0xa44dd1e8, 0x65ee2021, 0xbce0638f, 0x8136fd37,
+    0xf58a9d26, 0x55209dea, 0xec099e5b, 0x8553541d, 0xdd31baf2, 0xe0c7f00d, 0xaaca0c35, 0xe59f3cef,
+    0xb8d19099, 0x3e497a97, 0x12e7e746, 0x16aca3ee, 0xb34621ff, 0xb0297b5e, 0xd367c9c6, 0x63b14e28,
+    0x8bd66916, 0xefb9cca7, 0x7ad44d77, 0x96cebf27, 0x91f0ca42, 0xb1d7b09e, 0x2c7e1f22, 0x4bb330c1,
+    0x26321fb6, 0xe1a1eff2, 0xa7711433, 0x4649caed, 0xc42f8e29, 0x9a631b7b, 0x23041420, 0x9486e68d,
+    0x235b4fc9, 0xf678dcdc, 0x91590662, 0xca58d6fd, 0xd750da02, 0xe283390f, 0x362f778c, 0x6a6ab0af,
+    0x946b8e18, 0x3cef76a1, 0x0e0cc820, 0x500e404d, 0x501f3fe0, 0x96fd7c9d, 0x1fde54cb, 0x83ea764d,
+    0xe24e0400, 0xffbaf0ce, 0x83a8297b, 0x6fd09041, 0xfe8d643f, 0xf40704c3, 0xbc097dad, 0x47cf3f56,
+    0xb3bfc84a, 0xc64d03f9, 0x5f524bcf, 0x73903d08, 0xc8167515, 0xa5f76b89, 0xce962f85, 0xb5809ee0,
+    0x772520c0, 0xcfac31cc, 0xdee80fb8, 0xeffbc4dc, 0x16c78c96, 0xd20af52a, 0x4fce0428, 0xdb35e5b6,
+    0x5aba3bbf, 0xf9878ecd, 0xe9c71cdd, 0x9ab0eaed, 0xa42d45cd, 0xc2b78eef, 0x021c2456, 0x7cf8f491,
+    0x9e554d9a, 0xcd73b34f, 0x75d08f36, 0xc0f7087a, 0x04076f45, 0xc0c73ed7, 0x559b63d0, 0xa6cdaa36,
+    0x427f94e7, 0xd1d6ec2d, 0xcf2af462, 0xc0544898, 0x576196ae, 0xd6269d64, 0xa7904083, 0x07334b48,
+    0x9c449535, 0x9ec0f6c5, 0x1367662e, 0x210277ae, 0x726817f6, 0xb58f790d, 0xe91a3fb8, 0x657c0b4d,
+    0x3764796e, 0xa652e6de, 0x97686145, 0x8eccbecf, 0x48cd36f0, 0x254e0540, 0x3885abbd, 0xad684acb,
+    0x046ee694, 0xec0b9556, 0x15fb589b, 0x97f731f1, 0xb6406e5d, 0xeabb02a7, 0x9f0704f9, 0x1c65eaab,
+    0xdc1eb972, 0x4c8a2df8, 0xd1553e19, 0xbf51e2c0, 0x9e992e36, 0x0386ee52, 0x81bfee60, 0xa0bce305,
+    0xeca33966, 0x5adcd61f, 0x62ad953a, 0xa80a3cd0, 0x02799488, 0x6dad20bc, 0x55baf524, 0xd4f0b121,
+    0xd020b46c, 0x0c231807, 0xe50646a2, 0xdb1dd0ae, 0xe064d0cb, 0xbc0b469e, 0x607e3ac6, 0x17a2d8a4,
+    0xc4d77453, 0x31913b1f, 0x4a950f2d, 0x23897b61, 0xd72dacc8, 0x22456b69, 0x777cee50, 0xd8027a83,
+    0x87abc2b8, 0xd5798278, 0xa7b5028b, 0x77af11da, 0x93520d5b, 0x649fa123, 0xbcd9a100, 0x7b467165,
+    0xae7ac08f, 0x0b08ac59, 0xc983aee8, 0x4d6d8b8d, 0x643069b9, 0xdf97c30f, 0xd682ae4e, 0xff478147,
+    0x9ab21aa7, 0xd591b0cd, 0x0776f3db, 0x845df401, 0x2532e00f, 0xb44315f5, 0x20cdb77b, 0xf501e10d,
+    0x2fc438d2, 0xacd8b75b, 0x440e3ec9, 0x0fdd9e1b, 0xe71216f5, 0x06e9de7e, 0xea9a4bc6, 0x761905a4,
+    0x8da7c654, 0xd8543e8d, 0xb6dfa6d4, 0x14c585a9, 0x13320740, 0xd66831cf, 0x7700edd2, 0x98d3f981,
+    0x19b8ba94, 0x19c174e3, 0x9008a5cc, 0xc061b63c, 0xd84a579c, 0xa7c8c1f8, 0xc6d62041, 0x5516ceb9,
+    0xde005eca, 0x3286235f, 0x9ed8ba2f, 0xaef8afad, 0xca771e99, 0xa2e6ccfc, 0x18958162, 0x21906aef,
+    0xc4b1e0a5, 0xbdd19ccd, 0x10305f19, 0x8bc2d0dc, 0xfc7456c5, 0x573a7dca, 0x31b12409, 0xb8f81593,
+    0x85a27961, 0x7c694cb8, 0xb629a68f, 0xdda73070, 0xaab52096, 0x56dd911b, 0xc3a53e17, 0xa5c0dd82,
+    0x6c7b8976, 0x06e442ef, 0xd8547816, 0xc326ff77, 0xa9862aaa, 0x9ff0ff48, 0xfdb30a61, 0xf638031e,
+    0x6c737567, 0xd676e0cb, 0x0ba83e9f, 0xee89a418, 0xad7c3e23, 0x83755f97, 0x69010e97, 0x654d5bbc,
+    0x4b2a9106, 0x245d758a, 0x79b60770, 0x8f533d1d, 0xd8894683, 0x30554421, 0x33d2fb23, 0x0dbade66,
+    0x519d5c25, 0xa8e44b86, 0xf445e174, 0xb7f88fb1, 0x15d10727, 0x3bf6d5b3, 0xcf9f7472, 0x62181c1f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000842498333348457493583344221469363458551160763204392890034487820288 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad4, 0xe91b6ac7,
+    0x00000000,
+    0x82ddfcdf, 0xc1dd85d9, 0x190c6e48, 0xf141dd5b, 0xfcd4a896, 0xf45cfe4b, 0xe64827b8, 0x8807a3ea,
+    0x67e937e4, 0x6d6895c1, 0x333cc6cb, 0x80625d80, 0x908f3a8b, 0x5e5f38db, 0x2777216a, 0xdddf0b0e,
+    0xf4dde448, 0x026e09a2, 0x76999a57, 0x71d97392, 0xa6546a6a, 0x2e0dab0f, 0x24493a77, 0xc1f78c0c,
+    0xa7f921a3, 0x783e0315, 0x4d6ebd2f, 0xf4a139cb, 0x9db72370, 0x73985eb2, 0x24fd2040, 0xa2456221,
+    0x67e2a93d, 0x6d986fdc, 0xfecb41ad, 0x719de24e, 0xff92d479, 0xa4686d34, 0x0eca5faf, 0x383fb460,
+    0x11451ceb, 0x3f189ebf, 0x765baf89, 0x66222c10, 0x5b6c15ca, 0xccc1b5e3, 0x1f301954, 0xa6cd5f04,
+    0xd8328d54, 0x43954af3, 0xed95965d, 0xf4c5fd73, 0xb7c9e3be, 0x26a91032, 0x258ff242, 0x3fb5cf60,
+    0x25971f61, 0x4a7c0573, 0xa4e8f3e5, 0xfa49b1b0, 0x472c82ca, 0xee43e5c2, 0xc05b33d4, 0xa069a83a,
+    0x1e5e3238, 0xa465c90d, 0x944e253f, 0x1869a170, 0x37ca182a, 0x7bda2f04, 0x0d72529b, 0x8d75e9b6,
+    0xed3d45ac, 0x26a41783, 0xa4a1163a, 0x6763947f, 0x7a0eee24, 0x5a035268, 0x08c74282, 0xeaf890cb,
+    0x7312459f, 0x0f50d78d, 0xe04faa89, 0x26698d27, 0xaf21c0ae, 0x4a71c5de, 0x8e7cf1c6, 0x32aca535,
+    0x3bfe657c, 0x8d09df73, 0x89b70a03, 0x32949ded, 0x3386e941, 0x22bf9b05, 0x53203e18, 0x10f64264,
+    0x8c57e608, 0x146aadf8, 0xc54f86e4, 0xd14a721c, 0xc085e01b, 0xff662d4d, 0xc70868d1, 0x01cdae1f,
+    0xa25abc3d, 0x095141d9, 0xbac14d57, 0x58aff4c1, 0x4820f83f, 0xde74cc9e, 0x58051114, 0xd682dbe1,
+    0x5a981e20, 0xe935aa2e, 0x8330e4cb, 0xad0100c4, 0x50dc5f16, 0xb6365c91, 0x8e9db00d, 0x425535da,
+    0xb5424c0f, 0xdbd89322, 0x27d4efdb, 0xb355e994, 0x9d4c2a6a, 0xf59a39f9, 0xbe1accab, 0x16f8ddf5,
+    0x3528e6fb, 0x41be4dc2, 0x4674e4ed, 0x7edb7142, 0xae20d67f, 0xa425b199, 0x3a291e3e, 0x1ebd2199,
+    0x87f501ff, 0xcfd45e13, 0x93394bea, 0xa68cfe64, 0x36fda4cf, 0xe0bd4f48, 0x04316629, 0xb90a86f9,
+    0x62b1bdf7, 0x12a91b65, 0x3b7ed3cf, 0xe961e006, 0x4052f119, 0xf9d374a7, 0x9dffe12c, 0xfc336e01,
+    0x3e2c5391, 0x7a9dbfa2, 0xa2b242da, 0x01d877cb, 0xc32ba46b, 0xf5dd7062, 0x39358825, 0x006e5e82,
+    0x6e44cd01, 0x907d8c43, 0x81486c5f, 0x104b199a, 0x8ffa2171, 0x26c9e871, 0x60627c17, 0x3c4da78d,
+    0xd255d10d, 0x604511bd, 0xabce8b98, 0x4dd58e7a, 0xb522f866, 0xe491dc6f, 0x68a1b030, 0xcf34f293,
+    0x29c44ac6, 0x4e75cca6, 0x0e412815, 0xd6572a83, 0xc21f49d4, 0xca53022b, 0x90e36c8d, 0xdddeecaa,
+    0x0d9cd345, 0x4ef474ef, 0x8fd7ccd4, 0x65a87d22, 0x02778674, 0x15321c21, 0xceaf4212, 0x9a12d1c1,
+    0xf88a3aba, 0x9e76d3f6, 0xee3da050, 0x645f34dc, 0xc96fc818, 0x6291717e, 0x5a093eb0, 0xeba7c3c0,
+    0x2d68a3f3, 0x3eabe081, 0xcf071010, 0xbd7259f9, 0x6050cd14, 0xff67f751, 0x15f9ce1f, 0xdb66db51,
+    0x992d0c73, 0xa13e75b2, 0x5892d41e, 0x74efbefb, 0x03fd1155, 0x1885b304, 0xd5424911, 0x62af2aa1,
+    0x369e37a2, 0xa29a3304, 0xefedb532, 0x0592c046, 0x09c81b2e, 0x4fd91fbc, 0x1afb79e7, 0x874a9286,
+    0x9b714bc4, 0x87b413ee, 0xd6763ee0, 0x8a463277, 0x5ba111f1, 0x79c2a51c, 0x169ca9f4, 0x0b911dd0,
+    0x2667f7b0, 0x27c711b3, 0x2b45d0dd, 0x2033b0ff, 0x6e70f3ab, 0x6a43e320, 0x80d4b471, 0x09ae571f,
+    0xb2884f00, 0x9c676c8b, 0xfa4a269c, 0x0603ec80, 0xa6d547b7, 0x79f7b64a, 0x0446ed0e, 0x72386061,
+    0xe557721a, 0xd2371c3a, 0x67a48366, 0xddefa9da, 0x143836ec, 0x7b01e4b4, 0x064ab534, 0xf8d32134,
+    0x8d35de69, 0x93e42e05, 0xd0d781fe, 0xafc75f0e, 0x17268778, 0xd38bd9a5, 0xe1b47a93, 0xd64e19f6,
+    0x9ddc2ab3, 0xb9dc3d9f, 0x7122856d, 0xd900e8a9, 0x3ddbea5f, 0xd0977ebd, 0x81d3727c, 0xd09eb474,
+    0xe37f9e1b, 0x5a3fbbc1, 0xc1167853, 0xf73a86ab, 0xc9d89b05, 0x477f8522, 0xdd259fcf, 0xf6c7684e,
+    0x6da883bc, 0xc4f55ed6, 0xe13af54d, 0xfe04ea65, 0x1ebf18c2, 0x786c676a, 0x8033fd4e, 0xab2e669d,
+    0x76038e98, 0xffb46f67, 0x8a0dd91d, 0x2f0d1517, 0x78d60032, 0xf55bb461, 0x34f2c249, 0x862ec231,
+    0xc6660ea7, 0x739118ff, 0x1ceed95c, 0x1d7f3f49, 0x076f3a5c, 0x08ae7744, 0x22ad90f8, 0x3cfae579,
+    0xc255c870, 0x1508fb49, 0x33f52deb, 0x3633e8d0, 0x805926f7, 0x8506106d, 0x75f0ee86, 0xe8f3e903,
+    0x3e909506, 0xabfc8114, 0x3835085e, 0x4e21df73, 0xa5414660, 0x2ed4fa90, 0x7aab08e8, 0x967a47b0,
+    0xc3801b11, 0x64412130, 0x55b9ca30, 0x079771b2, 0xc25c9192, 0xea1625f1, 0x751d1f60, 0x9c519572,
+    0x5c7b04db, 0x2bbec657, 0xc0586a1c, 0xf4b3b4ac, 0xd20ecaa3, 0xb525173e, 0x084f9168, 0xa1c2f239,
+    0x77725b8b, 0x4da94f80, 0x83e5560e, 0x89221329, 0xd39bffe9, 0x5ca09e18, 0x65cab759, 0x0caad60a,
+    0x50775a13, 0x673f8fe4, 0x219373e1, 0x60e8e0a7, 0x8edf5311, 0xc94af92b, 0x801d6488, 0xa1639f73,
+    0xf1e44174, 0x55541283, 0x883adcfe, 0x2114cf96, 0x28213338, 0xff6ecdd5, 0xc68561ec, 0x1d282cae,
+    0x361027f2, 0xa5881009, 0xee1cbc38, 0xa4e3252a, 0xdee174c0, 0xcb4edd6e, 0x7da53784, 0xc579c79c,
+    0xdfa2caa4, 0xc0ffbe44, 0x88e2a9a1, 0x01b5f2e5, 0x8632c695, 0x12e5fe5f, 0xda9cdc5f, 0xe719827b,
+    0x7a03a499, 0x5715cbe6, 0x05cd3294, 0x0582a2c1, 0xb0ced05e, 0x765ef326, 0xb023a1c5, 0xce13f04d,
+    0xb0e2c551, 0xab9ac77a, 0xdb64b353, 0xdc395225, 0x1c7d181e, 0x076a2f5f, 0x3941b21a, 0x29db9cd5,
+    0xaea07c7d, 0xab247c9b, 0xb7deb954, 0xfde926b9, 0xd7fab85c, 0xc63b5145, 0x29d84be1, 0x2d40d3e8,
+    0x66f95b97, 0x25862deb, 0x3d5121ed, 0xbb3bd269, 0x20e74c7c, 0xd43a8dba, 0x9bea1575, 0x43018260,
+    0x350c8a81, 0xb80b3c3f, 0x73dae8f7, 0xed95995a, 0x5e384136, 0x5a204236, 0xf3ba22b7, 0x581e4440,
+    0x3e3c20a7, 0xb1e077de, 0x04517b60, 0x71fd0b96, 0x856033aa, 0xfae99579, 0x1911806c, 0x7194908c,
+    0x1f6f7aec, 0xdac43182, 0x8461e94f, 0xe016324f, 0xc33fbfa7, 0x4d93bf15, 0x296f4bf2, 0x71ae4cd5,
+    0x4ad752e8, 0x685f952b, 0x18a6717c, 0xf00a7018, 0x3eafcc31, 0xf351ae41, 0x2be8d25d, 0xb23ab4bc,
+    0x7e09685e, 0xb18e5efe, 0x5df5c2f5, 0x026a0020, 0x8bc4aef7, 0x7545f022, 0x6f9f27ae, 0x415ab8cf,
+    0xae7a4c1c, 0xa8cff18b, 0x339c7120, 0xf22c5560, 0x1126a75e, 0x4170867a, 0x63a29233, 0x4e0e9468,
+    0xee29aee4, 0x2bdeb715, 0xe086fe2c, 0xdda6b0ec, 0xd9235f8c, 0xab0c2fbe, 0xa605e4f5, 0x156f0f0e,
+    0x131719c7, 0x0e1f77f4, 0x38c4d22a, 0x35ed3d43, 0x943dac50, 0x3a041761, 0x29d02586, 0xde2ca5f4,
+    0xb256de5c, 0xfe1a6884, 0xe2c6e72d, 0xb34e939e, 0x9294ab0a, 0xbfd17c3e, 0x8a5906a2, 0x09aa8a18,
+    0x085ea016, 0xfd79c261, 0x7c003f11, 0x16b662d7, 0x34ab6519, 0x3afb5071, 0x6644e499, 0xc3722b4f,
+    0x56d621b0, 0x583500c1, 0x2e576c1b, 0xb5608626, 0x268d86b7, 0x90472719, 0xfa38616e, 0x8a2843c7,
+    0xe195e8b7, 0xf552e5e9, 0xaf1335e9, 0x18b81026, 0x2a80fc4e, 0xc67fe83f, 0x4223b591, 0x144bdbea,
+    0x33b22907, 0x76d3b282, 0xd2e3e34d, 0x7b4d5ddb, 0x576db981, 0x5fd300cc, 0x85e8f609, 0xe4486ba3,
+    0xfed7e142, 0x27f246c0, 0xcc73a9ce, 0x939c5880, 0xf8c42de1, 0xc6780851, 0xe5d11de8, 0xc06d3ba0,
+    0xac1a0dac, 0x316f215c, 0xf1ff81bc, 0xbfcd0220, 0x02a6e7b8, 0x6a5874d5, 0x05e4d3e2, 0xbec2606f,
+    0x14936b64, 0xa3ecde7e, 0x2a97d2d9, 0x814e5ab7, 0x47c9a4ae, 0x7d7dab30, 0xb2ef86ad, 0xcc154718,
+    0x30b5b362, 0x22485565, 0xd3959025, 0xad64e1b1, 0x10af0a9d, 0xc1ff394f, 0x3ec8c1d6, 0x55daeaec,
+    0x4add7d61, 0xfaca90de, 0xb3670a9b, 0x5bb1e940, 0xc80e0f2f, 0x0a7aee4f, 0xcd4ebe59, 0xf1a5d5e7,
+    0x48799f1c, 0x7791e9b5, 0xa5676a3b, 0x96dba285, 0x2397df87, 0x287839aa, 0x9ad1837a, 0x7ea7ac0e,
+    0xd87fa368, 0x8e3965bb, 0xb6626cc2, 0xb59fcb0a, 0xe003775f, 0x3845c6b6, 0xa5ba3f97, 0x6bb352c0,
+    0xf4efe6ef, 0x5875d52b, 0x25b5a703, 0x0c7fe4cb, 0xea1b7181, 0x47e46e2c, 0x67ef70a7, 0xbec2cc9e,
+    0xf06bf199, 0xe711eb82, 0x27d9d4f6, 0x5fde6e0f, 0xb2006dcc, 0x13fee6e6, 0x41974fd3, 0x87b15293,
+    0x00932fbd, 0xed0bc10f, 0xb25e4307, 0xe8870fed, 0xe4a29b6d, 0xfb67b6d1, 0xffe1e1f6, 0xe558466c,
+    0x9660c5ab, 0x068a7224, 0x1e8658b2, 0xe06a1136, 0x01240f60, 0x1e96305c, 0x827cdfce, 0xbdc41651,
+    0x5c7aff60, 0x46ced44e, 0x36fba78e, 0xcebf12c9, 0xdd7c3191, 0xbd336b62, 0x83e43a18, 0xf976a993,
+    0x0f6331cf, 0xd934dc58, 0x4147a32f, 0xded9781c, 0xbb490fe6, 0x8539fd1e, 0x31e11d2a, 0x9ade6e39,
+    0x02f515c5, 0xe03869b7, 0xf9168c2f, 0x2af1f243, 0xcd2278a1, 0x3842b631, 0xc1e97fee, 0x0cee54c0,
+    0x4077b7e8, 0x7be2f1fd, 0x55fd4406, 0xcf2a1047, 0xd501be7b, 0x92fd635a, 0xf21890aa, 0xd7e11ba8,
+    0x57e624cd, 0x00242428, 0x3b2c1703, 0x5b466a6c, 0x45b91a16, 0x0aec88bb, 0xbc35e3e0, 0xccffe892,
+    0x040966b3, 0x5d9f285b, 0x21a0852e, 0x67457356, 0x324d018c, 0xe1c2ec2d, 0x18867806, 0xd2aed25f,
+    0xcd53cd46, 0x75a22140, 0x6ed3913c, 0x842774f9, 0x982237ec, 0xec2f2b7a, 0x81743dcd, 0x64ba8c16,
+    0xd94abf19, 0x756ca5d3, 0x0c9161e8, 0xded34185, 0x51b9cb40, 0xdf08e28d, 0x9e6bb7f6, 0xede09411,
+    0xf94717e7, 0x8c65d88f, 0x68775e1e, 0xb48087f9, 0x29ff225c, 0x7369156c, 0xc3b54aa4, 0xcbe927f1,
+    0xec8925d9, 0x41421c7c, 0xc2ce9077, 0xb73d50d7, 0x8abc7133, 0xefb71a7f, 0x11e4b6af, 0xa5b17d2c,
+    0xdcd8bc31, 0x4176ad45, 0xe7eccec1, 0x4e428b5c, 0xf62141d2, 0x4f497ddf, 0xcc16709d, 0x838a15e4,
+    0xefd673a3, 0x14341600, 0x3b061a36, 0xb6bbc493, 0x5d3984d1, 0x22ffbfc6, 0x2a15d13e, 0x7431cab4,
+    0x9c693e23, 0x4ebfd090, 0x8f4fb171, 0x5fc31560, 0x80bc082d, 0x045be313, 0xeef3ddb9, 0xffe620c4,
+    0xa189cbaf, 0x912f90f3, 0x0e99f583, 0x92a7cd55, 0x85b2906e, 0x9a768516, 0x6aed6046, 0x2fd57570,
+    0x786a34bd, 0x0f69dc78, 0xb8423cdb, 0xf406057e, 0xa3b87673, 0x050d4bf2, 0xe50c6258, 0xee5cecec,
+    0xb3f24010, 0x865ff952, 0xd7f89301, 0xf4ad11a7, 0xf4b9dd55, 0x16cb4499, 0xead0e283, 0x99e98249,
+    0x667e132b, 0x42c87be8, 0xa9c8dee3, 0x525cf898, 0xfda372c0, 0x0d91dc5b, 0x5ddc4035, 0x8e6dd564,
+    0x42018e15, 0x54c5ee6e, 0x41b2dbdd, 0xe017b994, 0x4a687ef9, 0xc291121e, 0x0e280c9b, 0xcbf15a67,
+    0xb4815bbb, 0xbe384bdc, 0xc424b8f8, 0x7c8f31c0, 0xfea65ae2, 0xbd312a44, 0x5edbfe60, 0x382ae22d,
+    0x6d77080e, 0x7e0fa833, 0x0f5a3951, 0xfb788248, 0x6088ffdc, 0x4725825b, 0xd8ab22fc, 0x4062f2dd,
+    0x6d9dd832, 0x9c382125, 0x2bd4638c, 0xe85b6888, 0xbc3ce0c6, 0x50d4d9aa, 0x8bfa1c43, 0x5237ad71,
+    0x46fcef73, 0x00bc7bc3, 0x17a3b6ea, 0xf6628e9b, 0x350e2f56, 0x9f906e2c, 0x11bfe11d, 0x7f552e5e,
+    0x54b81fb6, 0x9e9ecc3f, 0x0480afd0, 0xf08eccde, 0x4282ba5b, 0xbcdf39a5, 0x9c5fe01f, 0x2f02ea9b,
+    0x3304f452, 0xfbb80d1f, 0xeacc53b2, 0x4a0c2408, 0xb665595b, 0x9ebc7d7a, 0xb15de781, 0x3ae11528,
+    0x14f5842d, 0x992c3c8d, 0x56db536e, 0x40d0c689, 0x1945f47d, 0x0bc5d0dc, 0xd8f50fa2, 0xdbe691bc,
+    0x54cf2870, 0x9b1ae0f0, 0xa85ffdda, 0xcd51cf4d, 0x2e6e22a7, 0xd0c4d98d, 0x7d83e31f, 0xaac2f3a1,
+    0xbbd9b345, 0x47e2660c, 0x3177172b, 0x419a4d67, 0x7286969b, 0x07f08f5a, 0xf6edd416, 0x9f39617b,
+    0xb965d226, 0x82fc6cda, 0x94729131, 0x344027d1, 0x69c1ca1e, 0x94dfddb1, 0x876cfd04, 0xd6a854b6,
+    0xc589c57d, 0x6e3ef36a, 0x3bab5f9f, 0xa9c4becd, 0xf130501c, 0x4d8de25c, 0x7b8f922a, 0x9503e2e8,
+    0x495526e1, 0xc9f844e7, 0xf5c5aced, 0xceb5fbf3, 0x4a2bfc57, 0x3e51e825, 0x30c6c0e4, 0x6d658e46,
+    0x0128971c, 0xaf32e06c, 0x3b0c1799, 0x74057a05, 0x360fb5b6, 0xcf15ef6b, 0xaa47b2ab, 0xe52faac7,
+    0x1729c16d, 0xb033194a, 0xe3e5765f, 0x8ab99536, 0x9060d93c, 0x93f322e5, 0xf7dc427b, 0x5b3bcec1,
+    0x85740f88, 0xb4483526, 0xcebbe3b6, 0x1e389991, 0xd2494f77, 0xfb03360d, 0x03f01172, 0x5c716867,
+    0x6cc916d1, 0x2b2a59b6, 0x9487ebf0, 0x3aa36e24, 0x2b419dac, 0xac125195, 0xd6c5ff89, 0xc17cde3b,
+    0xe6536bff, 0x002b6bef, 0xfa77637a, 0xeaa472f1, 0x7d21d6db, 0xc6aafaf8, 0xd9a6aa72, 0x2836391d,
+    0x09cf4f27, 0x4459f4c6, 0x80885f12, 0xe9915b81, 0x7c44ec3d, 0x4c1cabaf, 0x26298eac, 0xb0cbaca1,
+    0x9e8625d3, 0xe637c838, 0x53236045, 0xb7b350ac, 0x0c4259b9, 0x369ee075, 0x3d195639, 0xccb25074,
+    0x2a009b1a, 0xc9b34994, 0x261d3e8d, 0xa5e17b30, 0x73a712d6, 0x9c688f0f, 0x4f0ab232, 0x108f66a8,
+    0xa557b267, 0x22e21f5d, 0x923be511, 0xaddca65c, 0x27593d99, 0x962c4152, 0xc3975ebe, 0x4b284f19,
+    0x53b487c0, 0xb1ccee01, 0x62eff2ab, 0x43f35dec, 0xe920b9b7, 0x7237200f, 0x3addf1db, 0x8c769e6a,
+    0x6d889171, 0xf41700e7, 0x425b6e07, 0x4f68afb4, 0x95d25401, 0x7f702d64, 0xb5901a7d, 0xbb162213,
+    0x9f7031c8, 0x12b18e21, 0xfa6e12f8, 0x6271cb34, 0x3a38acef, 0x6dae8851, 0xac843fa9, 0x5522ac49,
+    0x4cb86a62, 0x7dbc433a, 0x9575dc6f, 0x6203a9a3, 0xa3f97179, 0xebdd10ad, 0x1c73a4b4, 0xec30c86a,
+    0x4b53e624, 0xca46aa97, 0xb8e6cfa9, 0x55b5e7bc, 0x7f650abb, 0x1c3f6852, 0x731e7509, 0x8bcc55eb,
+    0xc5fb3646, 0x0f53214d, 0xfafdf05d, 0xdfa5e3c0, 0x09243f11, 0x33db8854, 0xc5bc487d, 0xb984dce6,
+    0xac739b46, 0x50d3ecb9, 0x9ebf7e30, 0x9a189a6f, 0xfc1aa2f0, 0xa185a7db, 0xb29b82c2, 0xf850e4f1,
+    0x3cca085e, 0x5cce085c, 0xd4ba75f4, 0xe0515761, 0x59a67106, 0xdefcf551, 0x24f998cc, 0x1f494635,
+    0x7689414e, 0x2cc693ea, 0x795dc653, 0x8e6e7986, 0x325235ef, 0xe8faca48, 0xf57a98b7, 0x0c29e13f,
+    0xfbac736d, 0x31ba8c42, 0xa7c0ef49, 0x181ef5a8, 0xfdaf4a2d, 0x17b90664, 0x6571c7d5, 0x117ae11c,
+    0x1f869b7b, 0xce585c62, 0x1aab5dce, 0x8ffb4b19, 0x08ec547c, 0xbea036c2, 0x70aab8d2, 0x138768e5,
+    0x34b0f4c5, 0x9316d9b1, 0xd7429170, 0xb33a7c2a, 0x0dd6200f, 0xb0e8a2fc, 0x52421a10, 0x80f06101,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000421249166674228746791672110734681729275580381602196445017243910144 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d6a, 0x748db563,
+    0x00000000,
+    0x816cf623, 0x00bd5e33, 0x8530241a, 0xa19bc494, 0x69a93f7c, 0x7f489e71, 0xe8915ac0, 0xb3a02440,
+    0xc81df3e4, 0xbfa8d66d, 0xf1d2eb20, 0xdf7b8183, 0x0f77fd3c, 0x7c02c1b4, 0xe8cb42ec, 0x9bccf931,
+    0xc7470013, 0xda31b833, 0xd7a740c7, 0x1df1974f, 0x88b1397c, 0xe4ec3592, 0x5e0dca63, 0x80936e23,
+    0xff3f04d5, 0xc7530ec5, 0x63d1a537, 0xdc7078f9, 0x962e2dbb, 0xf104dffc, 0x9d256878, 0xcde30f1c,
+    0xb6e7cfd4, 0xe77c5312, 0xbb556998, 0x85ff185a, 0x64f1851d, 0x959cbba8, 0x4cf76df4, 0xbd126a23,
+    0x8c8992b4, 0xd4a58000, 0x14cd6f41, 0x15a50406, 0xf11b63fb, 0xe68a9b51, 0xb55936cc, 0xd1ebd9d6,
+    0x336eb48d, 0x518c38d7, 0xf680b20a, 0x6748f34d, 0x6baf5c6c, 0x91dff6da, 0xd1add582, 0xd2c74832,
+    0xbf597241, 0xa68b54f4, 0x05feaf45, 0xeed5d1f4, 0x42ae2c63, 0x463f2355, 0xa1874799, 0x55e86944,
+    0x489e49be, 0xd91201fe, 0x2b357b4e, 0x599b7e69, 0xefe2549f, 0x72478b17, 0x5eaf3daf, 0x55afe33c,
+    0x91212ddb, 0xc072b68a, 0x809c0834, 0x2da99621, 0x1bb95339, 0x5fc0266e, 0xc6fe005f, 0xd400c74b,
+    0xbd31404d, 0x656e98f1, 0x46ac9aed, 0x5785f0b3, 0x43180bcd, 0x2e236b90, 0x60cea284, 0xd6289612,
+    0x696c7688, 0xe8b7f6f6, 0x4e949802, 0x012cd654, 0x9ae05e36, 0x24b28adc, 0x6d092958, 0xb0cde388,
+    0x116068b3, 0x7b06e26b, 0x330d6578, 0xab698043, 0x92fd9424, 0x3041fd04, 0xb9dbc4f3, 0x023cfde8,
+    0x8d4d978b, 0x0d68986e, 0x786cb7ed, 0xfa1dfcba, 0x5e2891ab, 0xb55256a7, 0xd003771b, 0x20596d1d,
+    0xb462042e, 0xd5e8e943, 0xb8c7ad87, 0x5564e764, 0xedc7101d, 0xa5ad9d37, 0x528ae544, 0xd1ce51a8,
+    0xcfb2cfdd, 0xcaf73e9f, 0xac251cac, 0xfeeb877a, 0xbe7f82eb, 0x917e06c6, 0x1e11d3a7, 0xf1beaf65,
+    0x22aca49d, 0x8640f12f, 0x698b31b9, 0x3bd80035, 0x468fb122, 0x5b3e9e6d, 0x8654ba61, 0x4a85eead,
+    0xe4aecbf0, 0x43950725, 0xbb2d2228, 0x20d6d1d1, 0x34240841, 0xb12adb77, 0x588c3183, 0xe176038d,
+    0x603f79da, 0xfb849c8b, 0x2dd0b320, 0xaf3520ed, 0xd76a93bd, 0xc8a5c35d, 0x621f276d, 0x2c969a43,
+    0x4d994cf9, 0xae489faf, 0xf8f660a0, 0xe99455b0, 0x967c2c1d, 0x2c1d1288, 0x37f3aa19, 0x54850593,
+    0x8bca6ef6, 0x0d9af79f, 0xb6da076c, 0x45a22ea4, 0x636c2301, 0xc199308c, 0xab7f80d0, 0x132545d4,
+    0xc2b75d7f, 0x0f0f3807, 0xd6989473, 0x394236ed, 0xd144e15e, 0x75bd6f77, 0xd30896d1, 0xf394353a,
+    0xee9a57d1, 0xe8c9f102, 0x949fa2c8, 0xd79bfaef, 0x0c3684e7, 0xd9d571a5, 0xfcd8470a, 0x3329f2c2,
+    0x341e22ea, 0xa1d2d568, 0xe4f3111b, 0x9acd9827, 0x81139196, 0x9c8f350f, 0xb8b57b08, 0xea87c53e,
+    0xd5524d8b, 0x40f75f95, 0xf7c5f4ed, 0xde96370e, 0x7e698a36, 0xaa89d659, 0x62582855, 0x1bd15bdc,
+    0x9f70d4cd, 0x988a0f6b, 0x4288f771, 0xd842a6a6, 0xa3527ea5, 0x276de6e1, 0x42965b70, 0x560db032,
+    0x660b458b, 0xe6bb0609, 0x282477de, 0x532f5ef8, 0x76c33448, 0xe0eea956, 0xf06781e8, 0x388b2300,
+    0x2d6eb93e, 0xa20eef77, 0xc4864db0, 0xd6c14cbf, 0xc583a9c7, 0xd8b35b51, 0xc07ab11f, 0x2d81421d,
+    0x7d76fc55, 0x6c8a386a, 0x1b696b3c, 0xde40ee74, 0x809b2e24, 0x29a9d859, 0x013643ae, 0x92878609,
+    0xf99010bf, 0xe7b1a855, 0xd130c451, 0xc53a60c3, 0x6dd1343d, 0x1b371d53, 0x8214d919, 0xc444002e,
+    0x61d1a732, 0x9128585d, 0xb106b019, 0xba2fcd6d, 0x7a9f87a8, 0x9ac665c7, 0xa214fab1, 0x59d51808,
+    0x475064ed, 0x0b65b376, 0xfc3c979e, 0xb738dd0b, 0x915f2068, 0x52a26f96, 0x02bbaa5c, 0x8b929927,
+    0xcab56e92, 0x7c260219, 0x4d349b63, 0x5466712a, 0x52d413d6, 0x4659a96e, 0x88a48d3e, 0xc7f63dd5,
+    0x780cbe97, 0x5ed92a85, 0x922d21bc, 0x5b4f596c, 0x030a26ae, 0x2044d37a, 0x8d039a27, 0x65608ce0,
+    0x94499b1e, 0xe7543351, 0x3dffdb5d, 0x68f1dbad, 0xb96165be, 0xef14a0fa, 0x2306a315, 0x023bcb0a,
+    0x64bca8db, 0x2e91a654, 0x702ee34c, 0xc10bb978, 0x968d2d44, 0x474a8783, 0x502ab621, 0x50ca27b7,
+    0xd5639b04, 0x286cad3b, 0x6f0f812d, 0x59a79942, 0x24b2f445, 0xbfb48b75, 0xb9191454, 0xc82783c1,
+    0xc82acd22, 0x9a994d1f, 0xc1934901, 0x481c3ced, 0x448b599a, 0x13c5ce6b, 0x864385db, 0xb9a3e243,
+    0x5cbdb979, 0x7d5b974a, 0x885f60c4, 0x775652ab, 0xaebe8693, 0x47ceb48d, 0xaba2001e, 0xb67f3121,
+    0xf00148b6, 0xaa26a82f, 0xc0a3903d, 0xd2c136db, 0x1c38665d, 0x8b145f07, 0xeb6058bd, 0x1d2de13a,
+    0x8046dfbc, 0x626702b4, 0xe0daa3f6, 0x4dab5246, 0xb65fe4b8, 0xaa7ea5c0, 0xd9a93191, 0xc4f5d6b3,
+    0x2a17eefb, 0x58c18664, 0x0eab94e1, 0x82ddd514, 0x49cb2015, 0xd48c7604, 0x0ebd24eb, 0xbc65a0c1,
+    0xca4a6c00, 0x60df7ca2, 0x21c27b1f, 0x9172ff17, 0xe858cbed, 0x921d6dea, 0xb6123cd7, 0x811af23a,
+    0x203dce4d, 0xd96e008b, 0x49e5820d, 0x589f5f90, 0x0de73194, 0x2096285b, 0x5e747a17, 0x10a4d605,
+    0x78609e6a, 0xb3aeea3b, 0x72b347a9, 0xb4e61463, 0xc7e79f9e, 0xac1c5b8e, 0xf709fde9, 0x96b38f26,
+    0x6c415d7b, 0x8665bf2b, 0xf376803b, 0xadbba243, 0x9bd7895b, 0x26b11e84, 0x38f82325, 0xd5bcf00e,
+    0x64333d60, 0x0125e3e0, 0xdf493c53, 0x7b895294, 0xd4b7388f, 0x6a734c72, 0xdf764cbf, 0x4d366c29,
+    0xfec22301, 0x2ef0ad95, 0x68cf3fa2, 0x65d08280, 0x162651e7, 0x911068e9, 0x631bb3cb, 0x43cdef49,
+    0xf9718112, 0xfba10047, 0x7b159832, 0xd24cc70d, 0x381b8e72, 0x2e6dbe4e, 0xf432f0a4, 0xa3c6e583,
+    0x4e171c5f, 0xc4ff6afd, 0x366ba5b4, 0xc6bc1b27, 0xbfc9391e, 0xd7234b94, 0xb3bd2d90, 0xd34529b3,
+    0x5b4a8a53, 0x86a70af8, 0x4d79a9a0, 0x4136a3d4, 0x47f2143f, 0x67578e1b, 0xf946454b, 0x40889c44,
+    0x17fddf07, 0xc7f7e71f, 0x75431ec0, 0x78b3feee, 0x2a0f7456, 0x3fcea6e7, 0xb34f01ff, 0xffffd145,
+    0x7eea7fcc, 0x838c09a0, 0xd99eba18, 0xd23ff81d, 0xd0286dff, 0x24aa23a5, 0x51f358db, 0x464a1b20,
+    0x1bbe9492, 0x27821cb9, 0xd176ad8d, 0x9cfbfea5, 0xe52ef26b, 0xb1108903, 0xca253364, 0xb0ef749e,
+    0x71c65b2b, 0xadfe78b2, 0xddc03d6b, 0x10fc262e, 0x76956790, 0x8cd9e2a4, 0xe6621029, 0x92fcbb44,
+    0xb8b7f7bc, 0xa4a973ee, 0xddca1a48, 0x291412c7, 0xadeee6b0, 0xa13a4d66, 0x73a9f1de, 0x5f3143e9,
+    0xe31a3ef1, 0xe15b9079, 0x41ce2c39, 0x474ae46c, 0xc5901d6e, 0x73035378, 0x5ab6f95f, 0xbc8e5d2b,
+    0x9de39602, 0x8a376e6a, 0x8980d37c, 0x6509c926, 0x732b18a4, 0x350350ad, 0x1866eb3a, 0xd145468f,
+    0x018af08b, 0xa8519a40, 0x18b8eccd, 0xbcba8481, 0x653aa460, 0xb388b202, 0xe5e23d34, 0x4bf53dec,
+    0xad026027, 0x0f46a76f, 0x2891b86e, 0xfe9d4c51, 0xb9e272a8, 0x03c48846, 0x0054ad0f, 0x1519dd26,
+    0x6dcd8592, 0xdf8852a8, 0x71150cb3, 0x59b3cf3c, 0xbd8a9293, 0x462e4408, 0x97df2f64, 0x9a0742e1,
+    0x4456b559, 0x70c57edc, 0x62696f0b, 0x409a7e2b, 0xc3e0ff74, 0xf73ceefe, 0x564fce5b, 0xec5d6f47,
+    0x89961e70, 0x9a0770b4, 0x4e564f23, 0xec8e7eee, 0x3e03376a, 0x044ae84f, 0xfe2e818b, 0x9bf7d737,
+    0xafc7210b, 0x2c8f4288, 0x6bd3667a, 0xcd997231, 0xdbc6c854, 0x1f6c33db, 0xbeb01397, 0xec4e706f,
+    0xb6778f80, 0x8742705a, 0x7fb9f84e, 0x6dde3f6d, 0x8113e9fb, 0x47d00f5a, 0x0c568643, 0x8c8bbf45,
+    0x7537bd6e, 0x666010ab, 0xfda2132f, 0x364fd683, 0xb352e494, 0x8f131d7d, 0x4356f7a5, 0x16b9ece7,
+    0x5a07bba5, 0x421c0445, 0x2a7a89cb, 0x2f8f3633, 0x74b7fde0, 0xd43a656f, 0xa890fe11, 0x5c2980cf,
+    0x5ac8484d, 0x980fdad3, 0x607454cc, 0x3a6eff36, 0xaae88f64, 0x1925850c, 0x82897e08, 0xf626aa4b,
+    0x9c26b8b3, 0x061caf33, 0xd8f379bb, 0x4e747de2, 0x6bcd3766, 0x2a0d3b6f, 0xa7749bba, 0xb7e99261,
+    0xbde78c78, 0x3a204187, 0x59c2041f, 0x9c509d6e, 0xf070b802, 0xf9914e53, 0x68a2108c, 0xec821057,
+    0xead06b0a, 0x624cda0a, 0x0f0332d2, 0xa986e4a8, 0x22452b43, 0x5cb52c02, 0x89fd8ed7, 0x9eb4f774,
+    0xea9642a1, 0x74c3f98d, 0xc2f8594e, 0x0bd77eec, 0xbc4c86e3, 0xf4b6b246, 0xbd1f9300, 0x5cd6aff0,
+    0xc2966bb3, 0x120ae082, 0x4423a5d1, 0x1d8cff78, 0xfc17ae8e, 0x8070631f, 0xf5d73593, 0xb3c64df7,
+    0x0ae6056d, 0x178907c5, 0x5b0b142d, 0x9665a4ce, 0xa4345e89, 0x74f79913, 0xf6b18a50, 0x8a3ddd09,
+    0x7c9e141a, 0x790214fb, 0x27cfed26, 0x7723309d, 0xf120d745, 0x2a8f0230, 0x7507759e, 0xf2995a4e,
+    0x4c1578b9, 0xb9d6bfe9, 0x557f5384, 0x39c5b6f7, 0xb8deb860, 0xcbc6b936, 0xa5a0d05f, 0xc520f60c,
+    0xc2c3adb0, 0xc8fb7791, 0x54a3c8ae, 0xee055c31, 0xc4301bbf, 0x08ac32fe, 0x3f947ae2, 0xe9421d83,
+    0x43d97388, 0x676bb9ad, 0xa59af2e2, 0x4c70e069, 0xdb48a845, 0x14acad01, 0xa9497620, 0x57a464f8,
+    0x6c772822, 0xc8eac9dd, 0x8151e169, 0xa369cf2e, 0x3c694220, 0x7578142b, 0x85ddcba6, 0x0835b5e4,
+    0x246b812b, 0x8a813117, 0xc10612e9, 0x00a65cd4, 0x4309922f, 0x338ecc75, 0xb5937dd5, 0xe25b8b20,
+    0x49df8d76, 0xc75d5409, 0x637e93a2, 0x15e5ef04, 0x69ed531e, 0x12cf0da4, 0x5b878ad6, 0x3e9de3b2,
+    0x39eb8b51, 0x87bade30, 0x1dd88fb4, 0xea108b7e, 0xc641d9d6, 0x854aaacf, 0xb46dede0, 0x85b49aa9,
+    0x2da459a1, 0xcf17079b, 0xf7a3f459, 0x4c84e85a, 0x4b635396, 0xdb1accc6, 0xbe612d35, 0xb0980dee,
+    0x25ae2d59, 0x5b20e9eb, 0xa8469ff8, 0xdf0a5c26, 0x9667f6e6, 0x0cbfe62c, 0xc8a870ee, 0xed09e715,
+    0xc1b186a7, 0x03fbf7d7, 0xea36a280, 0x3dec77f1, 0x06fac9d1, 0x40d15a59, 0x9803e647, 0x0e4e9615,
+    0x0835072b, 0xd0c6dc13, 0xae57ce66, 0x68e2cbfc, 0x225cf4b9, 0xfb649dd4, 0x39e2e3e3, 0x58c4413a,
+    0x8abe4eef, 0x823cfd8d, 0xb3250e15, 0x4356aced, 0x219badf3, 0x0931e208, 0x48b85725, 0xfed3ad00,
+    0xbc0c8feb, 0x4f9d85f6, 0x7683bd5e, 0xd3f02b2d, 0x41ce782b, 0x56ba6862, 0x38144651, 0xb2466cf4,
+    0x1809861c, 0x2f3de780, 0x07a45dff, 0x363c1962, 0x5972c8a2, 0x429bb0b0, 0x8022bd41, 0x52557491,
+    0x93d14d25, 0xde286b76, 0x35454581, 0x27eb2bfe, 0x626a9106, 0xed27eea5, 0xcde27b28, 0x9c516536,
+    0x4488011b, 0x703978b1, 0x4f748dd1, 0xec7469e2, 0xa604e44c, 0x5590d774, 0x514671e9, 0xc172370e,
+    0x2b115eed, 0xfc7aca65, 0x0ddad373, 0x20858d93, 0x2eff21d8, 0xaa2b97ef, 0x6de1c866, 0xba9288cf,
+    0x5402646f, 0x3abce2fc, 0xa0a1ad65, 0xe257b583, 0x3509ef32, 0x9cb5a26e, 0x9bf59f4b, 0xeceb84a1,
+    0x5639a3af, 0x7eebfddb, 0xde5d8f47, 0xd9824f51, 0xdec4fa7f, 0x5dfb6f44, 0xd41fed43, 0xb1702624,
+    0xd329658b, 0xedbbe2a6, 0xd14a3734, 0x83c4456d, 0x4b5dbcc9, 0x7072a325, 0x2a44c37b, 0xd783d0a3,
+    0x4b0ae2a6, 0xb1a08c83, 0x902296a3, 0x8a832f4f, 0xcd32e90a, 0x2b336e3e, 0x67337c7c, 0x951b7ffa,
+    0x816afe7e, 0x1832ebbf, 0x8963b6be, 0x6c884744, 0x157791dc, 0x1fc810d8, 0xc537189d, 0xe1888a90,
+    0x5b180999, 0x2b0fd328, 0x7d0cd3bc, 0x68b117f5, 0xe3f8c1e3, 0x44f52c03, 0x48932615, 0x45578a46,
+    0x4844f358, 0x48fc0187, 0x7b02fabc, 0xa8390716, 0x77709752, 0xe8b8d20f, 0x0d297727, 0xf6192519,
+    0xd6b90208, 0x6f35e558, 0xa0be658c, 0xc2fcd03a, 0x23e1c545, 0x431d67f0, 0x4575d073, 0xd12063ac,
+    0x573f37d6, 0x5f6e016a, 0xca591ecf, 0xa1430062, 0xb4e4a56a, 0x0eb7c1bc, 0xfe56a260, 0xfe9b68f6,
+    0x4f214a08, 0xc558e1b0, 0xf2dd0e02, 0x8d001107, 0x16bd2851, 0x7b411fc4, 0xb43c67df, 0xe1691308,
+    0x2d87e41b, 0xb9a1557c, 0xfdb79ed1, 0xebfaa518, 0xda90423c, 0x4357f83c, 0xf041aa89, 0xbf6aef7c,
+    0xdec997ee, 0x93e70fb4, 0x0b1cc864, 0x07fcd9f1, 0x04bdaef1, 0xe0c3c4e2, 0xacc4c600, 0x75be7b71,
+    0x3cd28319, 0xe5195dc5, 0x07c8157c, 0x6c0521e0, 0x8b53463d, 0xae740c5c, 0x33c39bce, 0x1f0b2dca,
+    0x06739dac, 0xa7a73f1a, 0xcb620577, 0x3cdb951a, 0xcb2b0e95, 0xfeef8b09, 0xfdb7226a, 0x5d0e9748,
+    0xc51be0f0, 0x9b49cb6d, 0xfa0b43ec, 0xd7232e48, 0xe586396c, 0x63f3c365, 0x081e760c, 0x2a29d7b2,
+    0xf55315e2, 0x0f0150ea, 0xff7b8ba7, 0xfd9450da, 0xe041365d, 0x4f12fd16, 0xcc225a33, 0xf6dcb285,
+    0xf0cb3f75, 0xd79d7ca4, 0xc2bf1bcf, 0xaf6bc997, 0x94626e7e, 0xce25c931, 0x557eed7a, 0x6b886cce,
+    0x5f1c6632, 0x2d652dd3, 0xcb5688c5, 0x3fb7c276, 0x1fb5e24a, 0xf79f6e68, 0x628f7f46, 0x29823234,
+    0x13a7faea, 0xdc2d5e7a, 0x0cd506a0, 0x208d0659, 0x74b4aebd, 0x986a3c7e, 0xcd8bb888, 0x02d8f09b,
+    0x3eb33db6, 0x0bc2ad75, 0xa0479649, 0x6708a424, 0x800ced9d, 0x10d94ab7, 0x2eb9ab4a, 0xaa7b5eb1,
+    0x9942d5ec, 0x96deb009, 0xbab8ab02, 0x24cc70cf, 0x918d466f, 0x45a84255, 0x85273030, 0xaf4bc8fa,
+    0xb83c9ac1, 0x1731b2ca, 0x494488fc, 0x85f13b64, 0x57b3a38b, 0x9c5b2ebe, 0x17d8e12c, 0x876b90e8,
+    0x3adb8d88, 0x2bbb76f3, 0xfff47360, 0xf58c3f85, 0x12f73d01, 0x6a984edd, 0x1c1d02f7, 0x403dfe9a,
+    0x9ee3a2e7, 0xf09c7784, 0x34a7d127, 0xaf6419d3, 0xc8415641, 0x9686db65, 0x2c86d1f8, 0x7fb83e27,
+    0xb29bc781, 0x0bd9ffcb, 0x0004466d, 0xba806cac, 0xb2a9d62c, 0xbca65fd1, 0x5b61289b, 0x78c61c47,
+    0x37464a64, 0xe1445aed, 0xca14120a, 0xa81e08e7, 0xd90b9ba4, 0xaf74afc2, 0x3489f598, 0x34c6705d,
+    0x2c7ada1d, 0xcd683f1d, 0xe28973df, 0xcdcf935c, 0x37aa0314, 0x3b5fbcc0, 0x580807ea, 0x020acb18,
+    0x838fbb2b, 0x692a784e, 0x5e41835c, 0xe63ea950, 0xf1329acb, 0xa0077552, 0x7dff80e9, 0x4a4615e1,
+    0x4648a073, 0x07aaefde, 0xdbf9c049, 0x8f6fd63a, 0xe00773e9, 0xe10ca530, 0xa07d9ea6, 0xbf0ccc63,
+    0xec40dd3a, 0x17f4a65a, 0x52dd1bdb, 0x459d533e, 0xffa9f9ff, 0xa8de45c7, 0x3f89f52d, 0xf77bbfee,
+    0x271b2c16, 0xab3fb8f9, 0x685687e4, 0xa23df1ba, 0x8a4cbb72, 0x5c75a5ff, 0x2d0a2a30, 0xe45a93cf,
+    0x6157973f, 0x0d0c074b, 0x0619d5c2, 0xc993efbd, 0x3df09364, 0x79d4f9e5, 0xa2696fc8, 0xf2754820,
+    0x41a3a89c, 0x81ec97a8, 0x09d83693, 0xb850aca1, 0x07bde244, 0xb428cf48, 0xd7d096a6, 0x2e62770c,
+    0x73dce3f8, 0xde35588c, 0x710b9cd1, 0x55621277, 0xd2380ec9, 0xd582c7d0, 0x3b1d9590, 0x1736716a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000210624583337114373395836055367340864637790190801098222508621955072 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb5, 0x3a46dab1,
+    0x00000000,
+    0x80b5f9b6, 0x70cec145, 0xaa6b31cd, 0x79ccf160, 0x245673a0, 0x1343bff8, 0x012faab9, 0x04df2188,
+    0x896f49d5, 0xa8577fec, 0xef075861, 0x0a588ed0, 0xcd6a3315, 0x2bee4a0f, 0x2965ba01, 0x4d077f23,
+    0x2b1931ff, 0xf8a951ff, 0x03711a94, 0x984a263e, 0x2c11d16f, 0xfcdd2c32, 0xf705be55, 0x93632ec6,
+    0x351365d6, 0x32ec41c8, 0x08d8c9bd, 0x81dceacf, 0xa44ac21c, 0xc0108aae, 0x28e8e258, 0x70d01e27,
+    0x6f44e628, 0x4446135c, 0x0dce5486, 0xf6d0fd89, 0x0c7a0619, 0x7bd83b52, 0xce015920, 0xeefbd5e8,
+    0x84957562, 0x4eb29faf, 0xebcd394d, 0xf8885251, 0x5b2140aa, 0x3cc4813e, 0x9367cae5, 0x32b03b3f,
+    0xa71e6118, 0x43323d7c, 0x78c78a2b, 0x8f7f267c, 0x1809e4ae, 0xbd9c5af5, 0xc727d100, 0xa02de805,
+    0x130c945b, 0x191c419d, 0x3275e2bf, 0xaf00af1e, 0x2d006fc5, 0x3c1576d4, 0xdeb15fbf, 0x2c399d66,
+    0x5852c9c1, 0xfc3932f2, 0xf5bd1b6c, 0x72a523fc, 0x7a81b11c, 0x59d2d64d, 0xe431cc90, 0x93a86dd1,
+    0x84a74036, 0xec823915, 0x7d9f5ed0, 0xe8949e0b, 0x45147367, 0x5aa0f0dc, 0xdd492e75, 0x14b7fdbd,
+    0xa3316068, 0x4b358ef7, 0x855a962a, 0x3c728fb3, 0xfcb97362, 0xd9de16a5, 0x12793b7a, 0x22d7ea67,
+    0x84aa7d23, 0x44f1c3cd, 0x8cfc912b, 0x3137c7c0, 0x02a5e9b2, 0xd8ce87b5, 0xad56a999, 0x0bb3eef8,
+    0xd4a723d6, 0xcc65bdea, 0x30e6eab7, 0x1f7fa985, 0x404db13d, 0x9274ce16, 0x5d1e7b83, 0x99e77a42,
+    0x17f64919, 0xd3190bd6, 0xe95be472, 0x0ab0375c, 0xb4396252, 0xe3e4a041, 0xd48c4ec5, 0xff41669a,
+    0x2e6741fd, 0x05a99775, 0xfd4b193e, 0x8d3c0119, 0xf5abb7ae, 0xdecffa82, 0xff2cf078, 0xb3e6c278,
+    0x54887ec2, 0x94345a72, 0x2c5734c1, 0x439b9b29, 0xd9c16f94, 0x8d0e9fca, 0xb9fe7fb4, 0xa4963719,
+    0x2eaedfcb, 0xd4f05216, 0xf95e28bc, 0x3a51b971, 0xb1d8572d, 0xe46957b5, 0xa8d1fb6c, 0xb82fe555,
+    0x3926e506, 0x59b0f200, 0xdc272a08, 0xbf4ee9d2, 0xb2245cb4, 0x6cb0d341, 0x2d56dbfa, 0xe970b7c6,
+    0xc3e32dd2, 0x232f35b3, 0x950fb4ac, 0x9f617d42, 0x09defbf9, 0x80826cd0, 0x21dbc8de, 0xc065aaaa,
+    0x5a760058, 0x93b06bd1, 0x4e784852, 0xd1034977, 0xe8e22b09, 0xc2bd7acd, 0x015a7fa2, 0x043fb3cb,
+    0x169a75a1, 0x5ac4366c, 0x71ad5f5d, 0xfbce7c9e, 0xfbb75c56, 0xd79f0d0a, 0x6873c00b, 0xb1418d7e,
+    0xe7b3a08f, 0x77a1fabe, 0xd48aa8ff, 0x54da2e7f, 0x80b0037e, 0x515f877f, 0x24e251c4, 0x68a468d3,
+    0xd9a295fb, 0x3d9cf3d5, 0x6d8d4de7, 0x2dbb8ee4, 0x70756827, 0x33f298cb, 0xf2720758, 0x6a3f9455,
+    0xb33cc148, 0x179a1982, 0x55eda786, 0x5b8b65b5, 0xcbc9bf4f, 0x47715885, 0x8db4d1ee, 0x63844c00,
+    0x573dc064, 0xdb02e80f, 0xf8766743, 0xcf3fd981, 0x58f67e65, 0xe08e149c, 0xad55c25a, 0x3bdcad07,
+    0xef529a61, 0x4e57feff, 0x3b04c0fd, 0x7f8df521, 0x49bb24a7, 0xad2da90d, 0x6b8b188a, 0x2cd17615,
+    0x7964df0a, 0xb1826a10, 0x647b718b, 0x9f6401cf, 0xc260ebf4, 0x1d797a55, 0x5876d809, 0x878d5d93,
+    0xcd724a83, 0x6ee2d70d, 0x2bb2cb2a, 0xf945b7a1, 0x89043481, 0x13056d82, 0x1c1b0d37, 0x21b123c8,
+    0x467127ca, 0x7c4dcc4d, 0xe62e979c, 0xd05a2166, 0xc4d66671, 0x97fe3e95, 0x3cc626ac, 0xd3245b8b,
+    0xcb9bd3e0, 0x9754e290, 0x72f043c1, 0xbd46eda3, 0xfd5c527a, 0xe1dfe7ff, 0x783ec5ea, 0xf0bf013c,
+    0x379c10da, 0xda02b338, 0x6a841eef, 0x39afce83, 0xf35cc353, 0x5ea21761, 0x8fc47dba, 0x386a9492,
+    0xc98f0aef, 0x6dbda180, 0xf4d6ad49, 0xe209e3cd, 0xcee8b0d7, 0x16a89697, 0x8823e4ae, 0x6c1bbcd0,
+    0x4fec0aef, 0xf590dbb5, 0x84b8dd82, 0xabf33cd6, 0xaf8fdafa, 0xbe79b848, 0x7825cf44, 0x8b4242aa,
+    0xc8fe5a0e, 0xa04276e2, 0x6a3b3a99, 0x7e9f745b, 0x5c5ff68c, 0x075a7a9a, 0x55f054f9, 0x4c2f5db7,
+    0x66e2fbc7, 0x774c7b7d, 0xdfd73b07, 0x73ff8fd4, 0x796e329b, 0xab3f5716, 0x6b3fe157, 0x59e33825,
+    0x5611281e, 0xb55be604, 0xb8da90b1, 0x3de8be2b, 0xa136fdf5, 0x893d76cd, 0x6cf7f6b1, 0x5ae59ea5,
+    0xef03f79a, 0xc3d92c0e, 0x26456d20, 0x51cc102c, 0x10b1f23b, 0x9eadde42, 0xb96b499e, 0x1d6eaf93,
+    0xa3147517, 0x52f6164e, 0xc1abc8aa, 0xf201e11e, 0xe5f057e3, 0xe3ecf228, 0xabfb7700, 0x41de8ff8,
+    0xf84368b2, 0x7fd71fae, 0x4007183c, 0x66f1c652, 0x59f6d7b0, 0x80e31633, 0x8f0bbd12, 0x86486d94,
+    0x63d3c517, 0x38e26b9e, 0x33158de9, 0x4049094e, 0x110d0f7f, 0x99b62861, 0x00f77a1b, 0xb7ea88b1,
+    0x574ce1fc, 0x361c5899, 0x0818a1d8, 0x6f84d103, 0x32ca2e26, 0x943f154a, 0xd2f1f4b7, 0xa2e72e37,
+    0x10bbee02, 0x462041da, 0xa6c78883, 0x2f21680f, 0x70fcd4db, 0xae11b1ad, 0xfbe44f03, 0xd2d73d03,
+    0x362f843b, 0x011c5534, 0x43db0571, 0x1658770c, 0x250c0459, 0x405347f1, 0x72586f6e, 0xc0f43c15,
+    0x55499a70, 0x94d7c177, 0x27b9510d, 0xe8710f6b, 0xb3209235, 0x68d6ad61, 0x1f23b4dc, 0xf65ed600,
+    0x881ff244, 0x8bf68b8c, 0xc5f7602c, 0x3671d7cd, 0x2a7f2d4e, 0x0eb0162b, 0xa43c8b3c, 0x7d80f867,
+    0xdf63aa23, 0x33b89417, 0x5f951fea, 0xebdf3bc5, 0x0a927f1f, 0xfcb2d5b9, 0x999e33a7, 0x5b149ea0,
+    0x1c629afe, 0x3e22bca2, 0x0c89648c, 0x3692603e, 0x9491c7e8, 0xfc51ec4c, 0x628b6bc4, 0xc1997ede,
+    0xb241f94d, 0x1189a994, 0x88b6adf7, 0x5801ac1a, 0x9bacb2fe, 0x7793e59d, 0xb25965fa, 0xd6513f3d,
+    0xb7676a28, 0x77cec212, 0xb63cddb7, 0xee668128, 0xcea6ae58, 0x57c7e594, 0x2b70ce85, 0xbaac0d50,
+    0x79c635fd, 0x676bb425, 0xc8ed9c57, 0xade577c0, 0x1b930d29, 0xfe41f0c4, 0x64e576a1, 0x35f22f3f,
+    0xb50b27aa, 0x7a5542df, 0x2672cfd0, 0x60d11296, 0x09517a71, 0x6f3a363a, 0xb738fb32, 0x8f6a0a5c,
+    0x8393f325, 0x4aafafbb, 0xdb656e97, 0x507d6df3, 0xb51bc46a, 0x6e01155a, 0x9d4c667c, 0x437c698c,
+    0x26665f4c, 0x46c6cdd1, 0xb3d1aac0, 0xf9605bba, 0x0db3725c, 0xc8d6fb9f, 0xcba21800, 0xa70341d5,
+    0x8f8e48a5, 0x45001808, 0xc8f18419, 0x34539eb9, 0x5db46d71, 0x526e3bae, 0x2dec4030, 0x879e76d6,
+    0xa5993ff1, 0xb5219496, 0xd0f67d72, 0x36e344e7, 0x149e6e90, 0xbd359a3f, 0x7c1c9d27, 0xcaf95cea,
+    0x176ed8a9, 0x3e0a553f, 0x8efac8a8, 0xc858d1f3, 0x82f66ce4, 0x5cf3edd3, 0xa8c138d7, 0x08a5c644,
+    0x96af0cc5, 0xa4f20a7a, 0x65602329, 0xd1d3df93, 0x2b943d15, 0xd2ba1e32, 0x1dd893d7, 0xe7aa88c5,
+    0x44b4d432, 0x413ff91f, 0x93ec0252, 0x3062a708, 0x9abe1524, 0x8c283482, 0xc8a228cf, 0x8c70c253,
+    0xe2c2a885, 0x189793c4, 0x7be908cb, 0xdd27be62, 0xf04020fd, 0xbf0beaf0, 0x8d71cb00, 0xe5139c2b,
+    0xf403172e, 0x84ff9d6a, 0x657794f5, 0xf5564c71, 0x2ec40cb3, 0xb6f87a40, 0x47627f97, 0x2acf01ab,
+    0x70b58cfc, 0xfa622162, 0xca6b00cf, 0x98389583, 0x57375d5b, 0x43ccdb6e, 0x4b198287, 0xabb651bb,
+    0x4cbe7e62, 0x88d210ac, 0x7a5f06a9, 0x40071668, 0xea4ca594, 0x3187a062, 0x5e51cb63, 0x040649ee,
+    0x798045c9, 0x70b45d59, 0x213cf54e, 0xa0bea279, 0x4c9272ad, 0xbb0e7290, 0xaa9b62d2, 0x865d843f,
+    0x3b3e5f37, 0x219cd05a, 0x8d162319, 0xcccbc084, 0x0295f7c1, 0x91e071f3, 0x50ab2857, 0xfe4ac178,
+    0x54090004, 0x818e6279, 0x75866762, 0x0c31de93, 0x85967d89, 0xc4fd9ce7, 0xd292a687, 0x43874505,
+    0x7e22696a, 0xef8af6e4, 0x557156b4, 0xa7b9d21f, 0x64f8e4e7, 0x0196957c, 0x59c3bb85, 0x6603b3c2,
+    0xcdf61fd9, 0xd64276bc, 0xa4635e60, 0x1aa78665, 0xcf75bac8, 0x458752f0, 0x61e45e2d, 0x3c58e718,
+    0xbb4f7008, 0x275a19c3, 0xff191f76, 0x28a39b7a, 0x35c661ce, 0x38adab9a, 0xb49949bd, 0x328332ab,
+    0x8c0128cd, 0x6123159f, 0xfdcde40a, 0x251c2a2b, 0x418bbd62, 0x66a1da0c, 0x4df9b267, 0xbc9e75e9,
+    0x0d0027ea, 0x4526f7f5, 0xd4be0155, 0x9394ab30, 0xa934ed43, 0xa7004ff6, 0x0583f78c, 0x74b5c2a5,
+    0x9d9d5118, 0xccf10eeb, 0xbe8f24c2, 0x05586c92, 0xa318ac06, 0x26565705, 0x8bd9f053, 0x2e0bf924,
+    0xb1ad2f32, 0x54ba0b41, 0x1470fb09, 0x9a159a71, 0x00986da5, 0xfd959d3a, 0xb225e77c, 0x489b058f,
+    0x98176f96, 0xf3324ff7, 0x7d11583c, 0x3494ec9f, 0xc7dfe5ed, 0xfadd78a9, 0x94ba38c0, 0x175da831,
+    0xf0bcacd1, 0xcce7f867, 0xbdd377f4, 0xc1f0f85a, 0x12e79fc7, 0x877ae88c, 0x2d4da109, 0xe1fb8b58,
+    0xbf84c167, 0x65204661, 0xf5a0b809, 0x0c909d40, 0x61082394, 0x763acf70, 0x4ce3470e, 0x48265f28,
+    0x1e863e87, 0xc54b5368, 0xc703c68b, 0xd46f09c9, 0xee4e76c1, 0xeac52e64, 0xd8587ed8, 0xe401f9b3,
+    0x2e2aee89, 0xcaaee6e4, 0x6b3e4519, 0xc49280ca, 0x64a6ff7f, 0x1a49272b, 0xfa505d92, 0x0ceb40a0,
+    0xab95a633, 0x40460c60, 0xe0d6bf3a, 0x895e5b0f, 0xa6c14fd7, 0x93b8f9be, 0x7e35af78, 0x9afe19e0,
+    0xd8db1d7c, 0x641e9a0e, 0xed714fa0, 0x05adaac1, 0xe51e7a17, 0x1217607b, 0xfcf3103d, 0x623845c2,
+    0xd9815298, 0x02f08c0b, 0x8d658d55, 0xc6400b3a, 0x7a70ccff, 0x3066a0c9, 0x1c0c4335, 0xa1952945,
+    0x0d6f868b, 0xeeb32691, 0x1f0ca766, 0xcd1eea15, 0x54589d3c, 0xfebc75a2, 0xd22015fa, 0x90a20d01,
+    0x645f5c45, 0x0c5a0366, 0xc81c1c11, 0xb457ae49, 0x67f55237, 0xd91eca7f, 0x4b5ea38a, 0x4f45d0b6,
+    0xa363ab02, 0x8f57ed7b, 0x46b1ffae, 0x4bb0e5b0, 0x53e4de86, 0x77464354, 0xf1c061bc, 0x9cde6cdf,
+    0xa2700d72, 0x6a47941c, 0xb6114fa3, 0x531041e9, 0x2b16784c, 0x0dce10f3, 0xdbcb083e, 0xf8c30eb6,
+    0x27e315f2, 0x3951d59e, 0x557417da, 0x67c4e572, 0xf1783590, 0x6f6ada76, 0x9deebf32, 0xc1a64c8f,
+    0xc43f1baf, 0x658506b5, 0x0145ddab, 0x80916173, 0x51620fdb, 0x8319f175, 0x23280de4, 0x3be4068f,
+    0xcc499110, 0x4c33cb81, 0x2681a1b4, 0x016811ba, 0xb8c2d388, 0x5d5a7834, 0x70ea37ed, 0x008518ea,
+    0x32556589, 0x064d71f0, 0x88fed968, 0xb01b8e67, 0xdad3cd25, 0x06319dd4, 0xef0c8d5d, 0x3fd525bc,
+    0xb9ec9b27, 0x7bc793ad, 0x2a74c4e2, 0x34603447, 0x67d4fe4f, 0x6618b8d7, 0x34d626ac, 0xf63b9501,
+    0x9f6061c3, 0x05d3d7a9, 0x67cba7f9, 0xd2202651, 0x9ad8e5e8, 0x053fa3da, 0x322e67e3, 0x277ea1f1,
+    0x69cb3ae5, 0x38fa96fb, 0x08f898ac, 0x12d58513, 0x0b023d0b, 0x0942a50a, 0xef7ae14e, 0x92029178,
+    0x2339d06a, 0xa896bba7, 0x1e570396, 0xc76e919c, 0xf7819c3d, 0xc2c0c90e, 0x38843629, 0xd600061f,
+    0x658b04d1, 0x9eea09af, 0x8ce7633e, 0x18e10c16, 0x8e1381f1, 0x7a64940d, 0x4152dc72, 0xd7830bac,
+    0xe319174d, 0xddb7a849, 0x0be2795f, 0x3b462148, 0x9478ca04, 0xb105e27c, 0x1197b2f1, 0x1d3f40ee,
+    0x8d9850c5, 0xd1654676, 0x3cd51f91, 0x22f1ddd9, 0x1136eadc, 0x7aab970e, 0x0a9104c0, 0xec038638,
+    0x7c61b8c5, 0x87e8281f, 0xd3c4f906, 0xd1e3f53a, 0x8d170cb6, 0x2bd204a6, 0xa5177410, 0xedb4193d,
+    0xdfd86b69, 0x99444312, 0x01afcec0, 0x51ecd644, 0x3297a5d5, 0x80f12914, 0xf6a5f26c, 0x53a1c0f5,
+    0xbca7add6, 0xb5a8d4d4, 0x6e8ded03, 0x0a34007e, 0xb547b065, 0x6e48b3b3, 0xf97695a1, 0x170379e4,
+    0x78e436f9, 0x32fa2322, 0xfc49b2fa, 0x7924b7dd, 0x9142fef6, 0xb147e832, 0xcec7cb85, 0x46fafe74,
+    0xed25f5b6, 0x2444415e, 0x6c1ee4d3, 0x55bc407d, 0x2910fc7f, 0xf6bcdaad, 0x8124bd03, 0xaf981dab,
+    0x5d904e36, 0x4070d300, 0xf61f215a, 0xc6bee334, 0x15920109, 0xa9c151e8, 0xe1b26826, 0x7e7e26af,
+    0x55c1ac5d, 0x27ea7ff8, 0x57e1a223, 0x7db651c2, 0xfa8062df, 0x74ad7061, 0x61aae1e3, 0x98b23f7d,
+    0x8dbb9e97, 0x14c03cc3, 0xadabda1e, 0x97d69521, 0x19ec8535, 0x685f414d, 0xcd2499d2, 0x80fc6715,
+    0xba8199a1, 0x79f3f54c, 0x721204fd, 0xb9f98d10, 0x5244a309, 0x9db99c7c, 0x98d058d1, 0xb5ba1e27,
+    0x4e354c00, 0x968ecfe6, 0xae42f9e1, 0xdb1127bd, 0x440c3809, 0xff7f09ec, 0xb8e6c8b2, 0x26c3082a,
+    0x7ba3f479, 0x571454bd, 0x64b3be14, 0x0cb0c42b, 0x678e315e, 0x2d9dd508, 0xbd88fd29, 0x2b46f15f,
+    0x143a7c5d, 0xc6da3885, 0x79e98aba, 0xc7c762d8, 0xf6ae2355, 0x288d8062, 0xe9b27ab7, 0x99f609e7,
+    0x5b7bbd08, 0x35c10bd8, 0xfa6c9c2a, 0x792c2b3c, 0x62323f24, 0x94ff63ca, 0xc308498a, 0xebecfca9,
+    0x4abadf23, 0xd3a9980e, 0xa9a534f5, 0xcbac76bf, 0x2a8a6c89, 0x65fd621d, 0x2acee0a0, 0x70efcba5,
+    0x1867ca6b, 0xa925b885, 0xfba72974, 0xe040540b, 0xc4cc706d, 0x8722b105, 0x850a0f7a, 0xf69cfbe9,
+    0x0aba27e9, 0xf53ef3f1, 0x853840f7, 0xac3fd263, 0x6d01569b, 0x67df01a8, 0x7ec2844c, 0x330f8666,
+    0xa3f5c43a, 0xed9aadc2, 0x2edf6712, 0xe58fe103, 0x1e803e40, 0xdb8d88ce, 0x0e9f803a, 0xeeeecc17,
+    0x3b506b28, 0xe45f7f34, 0x7a7e4b3b, 0x13c3978b, 0x8367db9c, 0x729bbdd1, 0xd4fd2c4c, 0x1fc2dc99,
+    0x13dce8c3, 0xc3918260, 0xd9055e17, 0x3c9dea22, 0xdbcb1843, 0x798e080d, 0x9d369e63, 0xf55a7017,
+    0x7b7b0ae8, 0x7a50be6c, 0xcee98088, 0x98eb6481, 0x42d357f3, 0xf3c985e1, 0xd6fb9447, 0xf98b01e4,
+    0x7aabb4f7, 0xbc11ad99, 0x1c1f7ddf, 0xc77864a0, 0x2f30a4e8, 0xf0a8661c, 0x8db02d90, 0xe74450b5,
+    0x290f19f0, 0x4a19b9ec, 0x6049136a, 0x8ff729c9, 0xebad9f1a, 0x46ae763f, 0x39a02762, 0x6476431b,
+    0xba878810, 0x0a348f4f, 0x76b8e7a3, 0x1075fddc, 0x93a185d5, 0xe1f026be, 0xd7bc989a, 0xfa480c27,
+    0x53071676, 0xf59a652e, 0x05d46ba1, 0x8761b632, 0x5317916e, 0x3190b890, 0xc2d88934, 0x3d247b9d,
+    0xd21f78e2, 0x67c4c6bf, 0xc4fcd534, 0x3c3f659e, 0xb39d5465, 0xda23c36a, 0x7a777acb, 0x04e073ad,
+    0xe8ef4135, 0x443fa1de, 0xd9e05201, 0x2df91b95, 0xf93aacbb, 0xef39d7b3, 0xd71cbb0a, 0xab2bb40f,
+    0x375f13c3, 0x7674b526, 0x2a5a7e2d, 0xef949882, 0x96fc21c9, 0x3042ba13, 0xbf2dcb0c, 0x82ac4963,
+    0xcbeb64ab, 0xe5761169, 0xa551998d, 0x7445dac0, 0x9ebbd6a6, 0x500a6474, 0x16a704f3, 0x7ea9d6e2,
+    0x03f974c9, 0xc553002b, 0x7df81a8a, 0x85dd6bc3, 0xd76583ee, 0x3d2fde91, 0x55ff6718, 0x7d389d63,
+    0x4a5cdbac, 0x0927e3c6, 0xd68b77bd, 0xf910bf5c, 0xec7a690d, 0xfeb6a2c4, 0x85211c80, 0x56b2d2b1,
+    0xd0ae1a99, 0x0c91b470, 0x62e4e01b, 0x970716aa, 0xaec219a6, 0x1db3da2c, 0x9aa504b0, 0x72582541,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000105312291668557186697918027683670432318895095400549111254310977536 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f675a, 0x9d236d58,
+    0x00000000,
+    0x805adc9b, 0x5d0e8c2d, 0x72e16343, 0xca7f4e8c, 0x9a3ccc8d, 0xbea7375f, 0x54afcea8, 0xc26021f6,
+    0x623b1d80, 0x9472a6db, 0x680eec3c, 0x1b0a1c5f, 0xdcd83929, 0xae770fa0, 0x039e466b, 0x9b7231b0,
+    0x6bc73cca, 0xa1ea4ad3, 0xede8d5ac, 0x7235558d, 0xd5426c68, 0xb56b8b55, 0xe6bb2d6b, 0xee853b7b,
+    0xe71f2a74, 0x23f95431, 0x0c3ee071, 0x5f37cf69, 0x1ed6224b, 0xefddfe0e, 0xd46dc7fa, 0x3b587149,
+    0x572066aa, 0xe095e187, 0x05bab731, 0x491ac70a, 0xda265abf, 0x202d0c2f, 0x57bca7ee, 0x853c0c0a,
+    0xeabe718a, 0x30ce56cd, 0xc810103c, 0x6ded250c, 0xcec6e745, 0xf0a1f342, 0x409d7f13, 0xb1aefc62,
+    0xd22d06e4, 0x99916ffd, 0xac817151, 0x7d702d02, 0xe8dd5611, 0x4fe17114, 0x2f55e2cf, 0xccddf2e0,
+    0x456bfaef, 0xba86d13f, 0x36d6ac2d, 0x96d396ae, 0x4440574f, 0x23e7b0fd, 0x61b4415d, 0xd546f1d6,
+    0x4d934a78, 0x00b4546d, 0x31b8e600, 0x2c8daece, 0x4fb447a9, 0x9f2292a7, 0x7758d663, 0x92763b4e,
+    0xd35531d0, 0x0830b7f8, 0xbe0f8eff, 0x24a72411, 0x2dfcc540, 0xbd5b853d, 0xa9153b29, 0xc4cde2c5,
+    0x0a5b4a89, 0x23776541, 0xeb0c7a9d, 0x5c5c7316, 0x48d64a5b, 0x93833eac, 0x7744aff2, 0x52898a7a,
+    0xe3baed2a, 0x498f96cd, 0x3cc15790, 0x7ff9f02b, 0xfe1f6fcf, 0x45011073, 0x7a053103, 0x4ef91e04,
+    0xbd3789b6, 0x8fa4a9c1, 0xbc0486c4, 0x9e9cbdce, 0x776de461, 0xa42fbd24, 0x9a00af92, 0x615db19c,
+    0xe8897696, 0x7a21254a, 0xf0f0d9b6, 0xe2c87f78, 0x412b10ba, 0xf0f54517, 0xfd094f91, 0xf9df5061,
+    0x7bebed38, 0xf8575851, 0x2bb83a39, 0xa78cb96d, 0x337ae028, 0x4a51676b, 0x6c9ded7a, 0xc0c73077,
+    0xe246e882, 0x3b41bfe8, 0x55596ddf, 0x5bfc2f2e, 0x53654443, 0xc682c1e0, 0x7ba27ff8, 0x6e0d3f24,
+    0xc875d217, 0xe20f5b70, 0xcb73517f, 0xa84d4b10, 0x4cf0e4f2, 0xb483d423, 0x6e4b8d37, 0x12dd21e4,
+    0x610f926e, 0xe688d1e0, 0xfb2f37f7, 0xf9fda0cb, 0x4451b330, 0xabfe4b67, 0x695e48f3, 0x9ee84d12,
+    0x30eb169e, 0x92fc771a, 0xe441ef53, 0x80b91f6c, 0xd662d1cb, 0x46270a04, 0x0e2677ad, 0x75f7f855,
+    0x181f7c8b, 0x624f3901, 0x9bec0b7a, 0xbb07b8e3, 0xb8726a0c, 0xa51cb268, 0x486edea5, 0xc515c5c9,
+    0x6ab229fe, 0x001ce7b0, 0x9d89baa8, 0x6633c955, 0x18b48b64, 0xab6646ff, 0x5fb8a239, 0x0f49b3f8,
+    0xde9db190, 0x9bbbf8eb, 0x52ea8b6c, 0x589fea2e, 0x67d73ce6, 0x2204daa7, 0x6713319e, 0x762326bf,
+    0xbaddbcb4, 0x173495bc, 0xbb2bbaa1, 0xe97bfdbf, 0x2675bff7, 0x60f2a3c5, 0x9525d508, 0x0ce63d8c,
+    0x6acae13d, 0x5eb4a75f, 0x7ee60fcd, 0x39ea7a66, 0x97804ac3, 0xc26497ad, 0xe576c5cd, 0x1c8dd79f,
+    0xd1e7becc, 0x4c23721e, 0x3d8a5809, 0xb0affc17, 0xc089cd9e, 0xf7cddfb0, 0xad727325, 0xc3c87b6f,
+    0x2524bb27, 0xf2cffa5e, 0xddeac4d9, 0x5d93e3c1, 0x0f6fce68, 0x49f06573, 0x4cf545bf, 0x5ee2f29c,
+    0xe59729d9, 0xefd52df5, 0x0f05ec28, 0xf9259e8b, 0x8d393469, 0x447b37c3, 0xd941d106, 0x10fdee2f,
+    0x7095ede2, 0x47c01061, 0x70ab6f1e, 0x9b3ba50d, 0x6c206b8c, 0x40dd4e1e, 0x71c32359, 0xb0ea4aed,
+    0x49e10c02, 0xb8fa7534, 0x840d712c, 0xbdaaaf7a, 0x59a62966, 0x67e4de56, 0x8311dc64, 0x32177f17,
+    0xda2d7157, 0x303ef940, 0x13cd21a6, 0x6bd7cdd0, 0x5696f873, 0x7f2be8f5, 0xb9c0026e, 0xd553da5f,
+    0xcda243a0, 0x1eb5c84a, 0x4fc66d21, 0x40792cf4, 0xc01286e4, 0xb48fee26, 0x7a77a3da, 0xde30c9b2,
+    0x2f7bc399, 0xcdfcac3b, 0xb84bf6ca, 0xbd9a1636, 0x94e3ccd2, 0x7854cfc8, 0x11348b9b, 0xfb1a34d2,
+    0x9377d98b, 0x9d0d13f6, 0x8e62d69c, 0xb19a9f5d, 0xc6e661b8, 0x6985541a, 0x578c8c82, 0x52b22384,
+    0x8554fe7c, 0x53575bfd, 0x12123e5b, 0x9aafc3c6, 0x42426b08, 0xd3c7f37e, 0x40f8e4a5, 0x2bbbc455,
+    0x9674c3ba, 0x72c72096, 0x7e031389, 0xe0800b90, 0x4d837da5, 0xc1daf457, 0x3e8b3fea, 0xe30a387c,
+    0xd50d97c0, 0x75428b29, 0xfd20d928, 0xebe87c1d, 0x8abbd42c, 0x83844cec, 0xc75739e5, 0x014d70ed,
+    0x8229adde, 0x2a5c263c, 0x3a283d01, 0x1d480e43, 0xf6d86916, 0x9c94f27e, 0x92143cac, 0x248cf233,
+    0xd4bb3065, 0x8c9b37de, 0x1e6a8bb7, 0x9a28c9c0, 0x68ce0cff, 0xc1704643, 0xa0519214, 0x162c21ec,
+    0xeb66f854, 0x3ab408a6, 0xa0ddac90, 0xda9593f6, 0x87af2dda, 0xf6076204, 0x082c6db7, 0x39a6153e,
+    0x1e5b61ce, 0xddbaf9fb, 0xc14ecbb2, 0xdb91d5bb, 0x9dfa230e, 0x20abd596, 0xbf53c875, 0x399bc862,
+    0x0d250e8a, 0xb8f95400, 0x1daf3c67, 0x1a462c46, 0xfe3877be, 0x653abb5d, 0x7b40aed9, 0xe29797b4,
+    0x689ff1f7, 0x9a73f46f, 0x0e7464bb, 0x8899dbb1, 0x012d297f, 0x45f47993, 0x38663529, 0xa65e597d,
+    0x7e5d91ca, 0x0d9132ff, 0xe980fa7e, 0x23df635a, 0x9073f9f5, 0xcb76b204, 0x6b53307c, 0x72399023,
+    0x05f13a0f, 0x63f6c680, 0xd8e4695d, 0xf8b136bb, 0xdf276d30, 0x205224d9, 0xff8d21a5, 0xff9234b3,
+    0xa1ea4754, 0x995efb20, 0xde6d09f3, 0xd48bb7b4, 0x0641d4d1, 0xa1c02141, 0x161c7777, 0x5d2a79a9,
+    0x8a0413d2, 0x27ee3284, 0xac53cef7, 0xcfd99306, 0x3db623d6, 0x28273c0a, 0x0a008727, 0x61307e07,
+    0x1f491841, 0x53b4b5d1, 0x7e41fbda, 0x800d42a0, 0x8bcea24f, 0x9374d111, 0xe633bbe4, 0xc0ab1a70,
+    0x171b1c94, 0x15bca4c7, 0x00d1c80b, 0xd22725c9, 0xe9c9a7dd, 0x9510dc8a, 0x5d196296, 0x898df15e,
+    0xc5522feb, 0x2541c10c, 0x10cd31e8, 0x349a62d5, 0x3ebe7b59, 0xbc07a83d, 0x0a3dfd05, 0x485ead57,
+    0x7928c715, 0xdff9c92f, 0x0da0f859, 0xdb719b5f, 0x54da77bd, 0xfefce8ce, 0x3fe270a3, 0x0def7d98,
+    0x39d3cd1f, 0x4011fdc4, 0xaa0847af, 0x8d94a587, 0x4980f6d5, 0xdd140b39, 0x740c4793, 0x5fa8878b,
+    0x4ea432fa, 0xb827dc68, 0x9d36b460, 0xdc725826, 0x982991ae, 0xf3070c38, 0x7f33b0f6, 0x0fc7d0ff,
+    0x1f8c7dc3, 0xbb16ac33, 0x320fefe2, 0x80e301df, 0xb1639e24, 0x67ef21c8, 0xe75010d6, 0x08cf2adf,
+    0xa4cd74c5, 0x089d256a, 0x5f934c45, 0x88f60340, 0x240cf336, 0x1c5cd86c, 0x83b1d375, 0xf082ff87,
+    0x1776fcc3, 0xd7d34478, 0xcb89f675, 0xc92ab981, 0x0a1c5723, 0x4b3d7c8d, 0xba50b80c, 0xa45d209b,
+    0x848bbcba, 0x7ee1f54b, 0xb6e13703, 0xa28b6406, 0x5b15fba8, 0x2dd9c926, 0xb3b5e317, 0x2ec8214d,
+    0x935f8e31, 0x65d63afb, 0xa41493a7, 0x3db1e8e1, 0xca0c5f22, 0xd869789f, 0x70452b9d, 0xc1b82a35,
+    0x0ea4c1b4, 0xbb79a405, 0x95f7240b, 0xa0c23f36, 0xff0ace80, 0xcd1a552f, 0x90b87206, 0x5a68ce2d,
+    0x100e661f, 0x61a4529c, 0xdbe2c527, 0x1d3cd698, 0x8c2b3602, 0xd17847f1, 0x11e75071, 0xc107ad40,
+    0x2ba330ed, 0x71854061, 0xcb4d4e7d, 0x1692b223, 0x270640af, 0xccbd302c, 0xfb355012, 0xe18fc592,
+    0x2b0a46d5, 0xc8795b48, 0x203c5fbe, 0x9b154951, 0xd257468d, 0xd6e3b22d, 0xf11cd49d, 0x6d8d82d2,
+    0x96b0146c, 0x3b3d70d1, 0x5299b3aa, 0xd780f2ea, 0x8e022bc9, 0xc5104a4f, 0xbca7cd08, 0x94ad8746,
+    0xae5baac6, 0x6169d3e6, 0x15517991, 0xccf5748c, 0x547fff3b, 0x8b83fa22, 0x7513a0f8, 0xa1c250d8,
+    0xd0630028, 0x52795e3a, 0x61948296, 0xc0d825b2, 0xa86dea32, 0x248ff709, 0xa5685f0b, 0x84a6d59f,
+    0xb62412c4, 0x0fa32772, 0xdf30573b, 0x10382eed, 0x3803d6af, 0x976d6227, 0x852338af, 0x2a3d8a7b,
+    0x21e62550, 0xffa6751b, 0xb7eddf6a, 0x92123f82, 0x2468b42e, 0xe1d0ca9c, 0x646a655e, 0x47e21e4f,
+    0x88b4f64a, 0xcacf76ef, 0x1c3acb84, 0xed1b8a07, 0x9b9d2bb0, 0xa266094f, 0xcc1bbc47, 0xa24bba05,
+    0xbc0cf01e, 0x96e3c3e2, 0x38883a99, 0x2f7d87a2, 0x14c1110c, 0x655e43b0, 0xdf70be6c, 0x8e8e93fb,
+    0xe52fefcd, 0xfa0e1470, 0x0c33850a, 0x04de7b2f, 0x9e985591, 0x8fce9b63, 0x42a95da1, 0xab96c58c,
+    0xc37df661, 0xb0dc1f30, 0x6b5de209, 0xde8a4f81, 0x657dd7b4, 0x17d6fbad, 0xa7c36e9b, 0x000df833,
+    0x87145487, 0xddc58f7f, 0xf6725590, 0xdd3316b9, 0x4b6c9dcb, 0x5d7cfea4, 0x7623782e, 0xe8ca52ed,
+    0xc719ebde, 0x75b7c39e, 0x9bb7f850, 0x58d987b7, 0xcdf19529, 0x147cc501, 0x2231df81, 0x2ef669c9,
+    0x112d66d7, 0x1d8c0bcc, 0xf0dbb8db, 0x91cad5cd, 0xbc7069b6, 0x4eb7c74d, 0x8b32c65d, 0x1ebf07f3,
+    0xb12d78dd, 0xca37556f, 0xed0cc4cf, 0x98241390, 0xb01b75da, 0x66cd7dc6, 0x3ac3e343, 0xacec62e8,
+    0xf067b106, 0xd739811e, 0x65dea33d, 0x08391e9a, 0x1fc094b5, 0x1af7f894, 0x133ffcc9, 0x317708ee,
+    0x57b7e0e7, 0xad7a41a7, 0x9cd6d37b, 0x5686233f, 0xa0f96579, 0xc96cae88, 0xa221914f, 0x91c7063f,
+    0x5f7a46fc, 0x011a8c93, 0xeb526867, 0x1584ad47, 0xbb72a56d, 0xa4682f12, 0xf6e1dc66, 0x7f3b619d,
+    0x151c65cf, 0xf11a0c5c, 0x0ccbfafb, 0x947e2605, 0x5b849ed1, 0x67e72af5, 0xaec09d88, 0x390118b4,
+    0x1b28734d, 0x0631f6fa, 0x1d90a682, 0xf5a0db27, 0x16cf05a3, 0x802cc45b, 0x1bfd51b4, 0x43d6561f,
+    0x1f4dc3c9, 0x1aab2197, 0xdf4e7021, 0x4f5cf7b9, 0xb8441faa, 0xe03aa350, 0xf49790b4, 0x044e494b,
+    0x08ba762c, 0xa2c61d1c, 0xece8d1b9, 0x38f180cf, 0x77a22f48, 0x720f43a3, 0xd80a7d1c, 0x3b803bc2,
+    0x73a84d8e, 0x05a4c8c8, 0x28039a1b, 0xe1c4704a, 0xcc8cb1f7, 0x8e594ac9, 0x062beefc, 0xe722ae6e,
+    0x3059c31c, 0xbb7ecb33, 0x4b8d7082, 0xda8cba8e, 0xe7739501, 0x105e915b, 0x7aa9c804, 0xaf3c5705,
+    0xc431120d, 0x787631d9, 0x143c22d4, 0xe710150b, 0xd97e4339, 0xd04bcef2, 0x52441a22, 0x57fefda0,
+    0x5f9ec046, 0x74eeb281, 0x22c32bdd, 0x7687a2fb, 0x145e8a02, 0xbce52a5a, 0x64216dd6, 0xe4c1a0b2,
+    0x98d3c5ed, 0xd38a0d64, 0xa091aaa5, 0x092a8a4c, 0x68a9d610, 0xc519f448, 0xe7c1cf0e, 0x8ec50dc9,
+    0x4f7f75eb, 0xbd634ac0, 0x5caa4833, 0x7bff925f, 0xe0046761, 0x41792bff, 0x5c6ded11, 0x937b3a1d,
+    0xe2974e9e, 0x202ce3cf, 0x31d6cab4, 0xcd5bf6a7, 0xc3a5567e, 0x15baf22c, 0x83b4e3ba, 0x8eef65fc,
+    0x0804b022, 0x904f0c10, 0x992b492f, 0xddc1d4b6, 0x0df075dc, 0x0ccb99d1, 0x46b5a5d3, 0x60ee7f0e,
+    0xff160b85, 0x3e270bf0, 0xf837c2bd, 0xa49a948c, 0x28738548, 0xb8c7fc49, 0xa429fb8a, 0xba02c304,
+    0x7209a8ad, 0x11c17b6a, 0x1902b0fc, 0x533d8814, 0x785aceed, 0xea270bc9, 0x60f29864, 0x614c03a4,
+    0xe99ac9d6, 0x634fd8c6, 0x26fdaeca, 0x717bf96e, 0x733b7c69, 0x4174a633, 0xf8ba8a43, 0x8b8cee87,
+    0xf99ec55b, 0x86a8612c, 0x7702c668, 0x4c7a90ac, 0x1d137869, 0x737878ec, 0x710b20cb, 0x4c9e161d,
+    0x60aaf922, 0x00e0ec52, 0x4fd7ec9a, 0x7f965b40, 0xdb4eb3ba, 0x33e2119b, 0x31e5c3cc, 0xee4e3f00,
+    0x0c63541d, 0xa66acebf, 0x2dae6a9f, 0x7a804c10, 0xf2cf1c33, 0xf40241d6, 0x926d233b, 0xca3f1ae6,
+    0x8c01c632, 0x711180fd, 0x4745f380, 0xd317f99b, 0x3d6eb55c, 0x96311019, 0xe1c8cfdf, 0xab488fe5,
+    0x8e309792, 0xeca423c7, 0x5c38f348, 0x7543a2b0, 0x3c81e37d, 0xc335d973, 0xaafd05d5, 0x845fb3ca,
+    0x55d28dd1, 0xf0caeb02, 0x0a629af9, 0x885d0cd6, 0x36071a44, 0xd8862a34, 0x08997784, 0x3cce97a0,
+    0xc455bc41, 0x5fb5f9af, 0x454988c7, 0x0705a590, 0x68f5a792, 0x56ab1699, 0x8d3e37e4, 0x1c969b0c,
+    0xc8cf6492, 0xac671803, 0x0b2ab0b9, 0x2af575ca, 0x1466d314, 0x525d5a9e, 0x07d6c1a1, 0x49ef20c1,
+    0xf1cb5e8a, 0x766aeb95, 0xa7b2c824, 0xad104dc3, 0xf119541b, 0xed9386ab, 0x60afc74a, 0x9b745288,
+    0xc8df0783, 0x63b30e01, 0xb80f86a6, 0x52efc9d7, 0x15e23599, 0x7d1c8f46, 0xb8665f7d, 0xfec078b3,
+    0x981cda33, 0xc545ba7b, 0xc39e73ce, 0x76352c56, 0x955248a3, 0x5dc9bd17, 0xca2a7639, 0xd6bc07fe,
+    0x8030506b, 0x9654459c, 0xfa845598, 0xa57219cc, 0x8d45f3e5, 0xce216d5b, 0xa6d3d601, 0xb0c31a1e,
+    0xcdcd715c, 0x5eed057d, 0x00397c1d, 0xf98c3b29, 0x09eb2bd8, 0x24fa983e, 0xdb443e2b, 0x91f9d81a,
+    0x1bad22e8, 0x9a86647a, 0xa9f61e4f, 0x79dfe4fa, 0x97078826, 0x4c2026b9, 0xc2098ab3, 0xfb2db063,
+    0x0aabdd79, 0xc92838a9, 0xfd1bee4c, 0xb9443ffe, 0x3d4094f1, 0xc5c10c3b, 0x4e338649, 0x24dea646,
+    0x6b1f2be8, 0x845e3027, 0xf2704655, 0xa9a47b2e, 0xa78c6bc6, 0x6241ede8, 0x2a4ce212, 0xea91b923,
+    0x872558be, 0x0998fc19, 0x6514af19, 0xf559aa3e, 0x92adff22, 0x07809469, 0x0d4ed024, 0x360d2860,
+    0x62fcfefc, 0x38716cad, 0x8ce59094, 0x19c7f171, 0xccea7f55, 0xe10a9444, 0xba4e2d4b, 0x1495274d,
+    0xa8702602, 0x3579956d, 0xf2f2e844, 0xcbe65e2a, 0xfa2f24fc, 0x45d285d0, 0x28c3f55b, 0x72889842,
+    0xf0a8e2ba, 0x66617403, 0x8ab673a7, 0xcec63133, 0x2f179362, 0xda735d6e, 0x7a13eac3, 0xe2cd7280,
+    0x93d28206, 0x9cda70ba, 0x8e553419, 0x896f0fd4, 0x192ba844, 0x1ed5159d, 0x0797a718, 0x244289ad,
+    0x1165619c, 0xbe795c37, 0x6ea62c0f, 0x5ea24abb, 0xf176e403, 0xcdeddb42, 0xd52e50cb, 0x511f9e78,
+    0xc06e18f6, 0x78c19c14, 0x1ef8dcdf, 0x67b054f9, 0x2341d466, 0x27e67cc1, 0xda7244a9, 0xf9ace66e,
+    0x2c767189, 0xaa7b34eb, 0xcccfadc4, 0xf9dfacf3, 0xadb35c00, 0x3dcc1a61, 0xda667082, 0xecaa2be7,
+    0xdb7a17e6, 0xc15634f8, 0x14de7d2d, 0x9c4e3d4c, 0xf04e49b8, 0x7ce9e1a8, 0x4ece1bdd, 0x335edd58,
+    0x2030bb00, 0x00dcf715, 0x8b488b9b, 0xa6b84014, 0x3df822a2, 0x7798fa5c, 0xee892009, 0xc589c338,
+    0x94709645, 0x5546b067, 0x5c8778cf, 0x2943966e, 0x6b3aaaee, 0x5fc74481, 0xfea6c8ed, 0xa78bba1d,
+    0x35f14dc4, 0xf9ea56f0, 0x09548d4a, 0x777d0c12, 0x5d2b5c2c, 0x8ef0d29f, 0xc05fd735, 0x13c402a6,
+    0xa3f01f87, 0xa03823bb, 0xd6817548, 0x2241d686, 0x0420a32a, 0xb9f734a5, 0x8cd666c1, 0x4e3c081e,
+    0x64cbb4cf, 0xbeac2caa, 0xfa5a54af, 0x99fdba6b, 0xb42d5eb2, 0x1af9f534, 0x0f1f10ce, 0xb69e0cf6,
+    0xb61f77c0, 0xe937419c, 0xd7735a00, 0x0ae62733, 0xb7cd6cfa, 0x7524bfbf, 0xa2368180, 0xf5f856b9,
+    0x81d4be6a, 0x29b4b0b2, 0xdf68200b, 0xef1c7595, 0xf96c2328, 0xc7f7c6f4, 0x0de7058a, 0xaae512bb,
+    0xa754bbfc, 0xb296efdf, 0xeec421a5, 0xb5695b1b, 0x25b1ffb8, 0x5a0417cf, 0xfaee37d5, 0xd0897b98,
+    0xd6b3b305, 0x2e94d8ee, 0xef0f09cf, 0x11011dbc, 0x6a355455, 0x2a94263d, 0xe7847a27, 0x2cd39d60,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000052656145834278593348959013841835216159447547700274555627155488768 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ad, 0x4e91b6ab,
+    0x00000000,
+    0xb545278c, 0xbe49654f, 0x0f544bd9, 0xed7465c6, 0x99acac2b, 0x8f9197ce, 0x20a1429e, 0x774158a5,
+    0x987acf11, 0xba9c11d8, 0x1db7fc2f, 0x2bf44d93, 0x0157b194, 0x21fdf767, 0xbdaeef62, 0x9ce78c40,
+    0xd688deb2, 0x33d62fc6, 0xb0d5c722, 0xf91a0d5a, 0xf30e40dd, 0xab9c2403, 0x3d477549, 0xacf9b924,
+    0x69c70a3d, 0xd6117cb3, 0x2427d231, 0xd44ceb66, 0x58ec0c46, 0x6c9fe1c2, 0xf32cc8a9, 0xcc8f483c,
+    0xd44e1ea5, 0x53672eb4, 0x592b6232, 0x439796c7, 0x0800cede, 0x38ea15f5, 0xf9d22571, 0x682932df,
+    0xdac48bf6, 0x4c73565f, 0x9be6383c, 0xd50d7099, 0x5c873ddb, 0x411559ae, 0xd7942a09, 0x6986374c,
+    0x751fae40, 0x6b0382bd, 0x776b3eca, 0xe66ca839, 0xfb9da2fe, 0x390223d9, 0x2d68e0ff, 0x2cf66150,
+    0x2e912278, 0x9ed0e936, 0x198d3c89, 0xc005c509, 0xa510cc9f, 0xd6dceae4, 0xc52524c2, 0x4282c601,
+    0x6ef2bfd7, 0xfbb24d7a, 0xf335163b, 0x36b2fc4e, 0xc1c397cc, 0x0d46c867, 0xb1eff23d, 0x13940970,
+    0xb06591b5, 0x2fad72ca, 0x72bc6b18, 0x72f88343, 0xfbe74e81, 0x9c6e23f6, 0xbaec85a9, 0xdc830d62,
+    0x2d4809af, 0x3733a97f, 0xfb482142, 0x2492a9cc, 0x39613301, 0xb281be02, 0xc30a3ceb, 0xb8bea858,
+    0x65dc8448, 0x9e867308, 0x2e062d91, 0x8eaa171b, 0x91efc6d7, 0xcd31ec9e, 0x8ac9e3d0, 0xa01e0815,
+    0x43576e49, 0x425417d8, 0xdb746c50, 0x638d5d8c, 0xd6cd68b7, 0x9c620d8e, 0xbbf87628, 0xe24a93cb,
+    0xbbedb639, 0x363ac53b, 0x978a52d1, 0x25a889e4, 0xb0f28a70, 0x2500324a, 0x38fea66b, 0x65a33e4f,
+    0x551bb96c, 0x1eb19bb3, 0xa1df0bc9, 0xc99291a9, 0x8409ca75, 0x667b7bc8, 0x9331bad7, 0x974b008d,
+    0xfcc76c36, 0x86535023, 0x163782aa, 0x56b8b5cc, 0xb028344d, 0xf5546d41, 0x1233efd0, 0x36d73af7,
+    0x04b3bc0e, 0xb6ded15d, 0x3b7f634c, 0x06680943, 0xccf3830a, 0xc56db44c, 0x78a8e642, 0x101967df,
+    0xa135857d, 0xa06b9e9e, 0x44f74c46, 0x6cdfdcee, 0x7ef5716d, 0x1251541b, 0x9d410631, 0xf25078c3,
+    0xe1a346ab, 0x35f55329, 0x5df8fa57, 0x9ef96e34, 0x0177e5b9, 0x7df1cfc8, 0x6d39c679, 0xa23be091,
+    0xc136afa8, 0xd99c9be4, 0x3e2ab334, 0x64ebfaa6, 0x3e04beba, 0x9695de34, 0xfcd7f459, 0x618d8491,
+    0xb229636f, 0xe639a54c, 0x5f960d7c, 0x757feefe, 0x98d89ac8, 0x02fe62a5, 0xbd8d0135, 0x2aa6f52b,
+    0x6670c11a, 0xbf4dd306, 0x7f532ae6, 0x397a4d65, 0xbf77e8cb, 0x81446784, 0xb3fb3de7, 0xa9143b72,
+    0x5094c8ce, 0x9c5542c7, 0xf7b272ea, 0x1a9a1f23, 0x360dbd8d, 0x5ef6815c, 0x46098a07, 0x566ce13c,
+    0x17a2dc53, 0xcb837f37, 0xc766f90c, 0x0b6bbbf1, 0x664f477f, 0xf4234af1, 0x42a507ab, 0xb53efa06,
+    0xc53d395c, 0x98013444, 0xee95256e, 0x2376ca7f, 0x0cd031f5, 0xb3a22594, 0x713a1636, 0x9dc9dce4,
+    0xc5ab7374, 0xf4a618d6, 0x2b80b93a, 0x16cd8910, 0xfc4518c8, 0x1514c655, 0x8a0cfbed, 0x501d86fb,
+    0xc6562ab4, 0x7cbb3db8, 0xe36f3b8a, 0x7137d4af, 0xb10786c6, 0x4f12e904, 0x490b552e, 0x7a0bd295,
+    0x4cbe1614, 0xdf3792df, 0xf8f6ad60, 0x3178cde7, 0x88ac8587, 0xcbda2301, 0xd7168252, 0x5469e4df,
+    0x12d1fe2a, 0x805c039e, 0x4245b12b, 0x029a7fb0, 0x8c09f39c, 0xb70bcf90, 0x2848966d, 0xb21753e8,
+    0x8babb9d3, 0x7613159e, 0xbb36bac8, 0x423d8822, 0xa2f4b7c7, 0xddfc1abf, 0xe541a66b, 0x928196df,
+    0xa306542a, 0x06fd8e9c, 0x54274200, 0xcde05d4e, 0x68ab6c7a, 0x1e73b67b, 0x25f311e7, 0x63b168e7,
+    0xd8309481, 0x14ffb2fd, 0xa0dd290a, 0x81b62155, 0x149a690a, 0x858c3c15, 0x6ceb8175, 0x3f980f5d,
+    0xb8d13b2f, 0xafcdef25, 0xe3c8216e, 0x30d68882, 0x312021fb, 0x6c553997, 0x69d401b5, 0x17aa09f7,
+    0xc2cd4299, 0x500bd38d, 0xbed6e07f, 0xaf8885f9, 0x3acaf89a, 0xa6f23cc1, 0xaf1bb0a0, 0x22cad965,
+    0xaa110c66, 0x4e5b0866, 0x939aaae5, 0xc51190fe, 0x8fd84419, 0xf022c53e, 0x0e988db8, 0x8f52f3ee,
+    0xb9c55d36, 0x2cad4b8b, 0x02fc4a56, 0x0e26403c, 0x83779299, 0x08e988a6, 0x73e8bde5, 0x51d4ef99,
+    0xb9c0756c, 0x7baa2c0f, 0xbb3df482, 0xd77eb417, 0x2e96fad7, 0x001d78b6, 0xee179304, 0x9d7eb156,
+    0x9ce4b4de, 0x85b1c606, 0xff98825f, 0xf553bf37, 0xb0420c0c, 0xed52adae, 0x99b5559b, 0x367987ae,
+    0x420132fd, 0xbe5e3702, 0xb2a0a67a, 0x56e12397, 0xeaaddb20, 0x019e6791, 0xf62fd288, 0x99ba4c56,
+    0xb228fa40, 0x53e17b1a, 0x5c616831, 0x933ea8d0, 0xc942a72b, 0x666e891b, 0x4d8dcded, 0xc85c5db2,
+    0x08178f43, 0x70b7b7bb, 0x9a143918, 0xdf1592a9, 0x4d4101e6, 0xc5c37f2a, 0x62368fd9, 0x76a36eae,
+    0x87e53b91, 0xff4a5ba4, 0x71bfeed6, 0x012378fd, 0x5a7c1746, 0xb4b98867, 0x43fe1aee, 0xf5756b8e,
+    0xa1253a44, 0x2b92c8aa, 0x50b96d4e, 0x66716fe0, 0x24bf344c, 0xfe9c3c5e, 0x0630cb62, 0xc9c3e7d0,
+    0xa909ba2b, 0x131802c3, 0xce029ef9, 0x50cdaed4, 0xaa0cc2f3, 0x2a0f4c0a, 0x4fc2c3df, 0xd9c45163,
+    0x329b7316, 0x67752fb1, 0x5717f886, 0xde845d27, 0xd353a064, 0x2f40ff2f, 0x115ce310, 0x3073e378,
+    0x56905b16, 0x6e487d77, 0xe61cd4c2, 0xb15c7217, 0x63d1601c, 0x8e650e25, 0x8e82571e, 0xf6643133,
+    0xc3eaf82a, 0x1c01f137, 0x0bc4624e, 0x6054c8fa, 0xf7c52ab9, 0xf03987ce, 0x34f3db75, 0x85d027d8,
+    0x174b62fa, 0x7d5104a3, 0xc480f760, 0xc8c91df9, 0x182f770c, 0x0530f840, 0x0d3bcaf8, 0xc19a1c7f,
+    0x86dec3c1, 0xe3271d51, 0x7c07de96, 0x86c900cf, 0x4d47f91b, 0x415623ea, 0x99cbff10, 0xba918d0d,
+    0x6cd77f8a, 0xa1a77156, 0x1abf4ff3, 0xbde3f0d1, 0xdef282d9, 0x23fb59d9, 0xef462239, 0x4d0f5a98,
+    0xfd4c9006, 0xc739663b, 0x31f05196, 0xeedab585, 0x52097665, 0x42ed53b4, 0xd3650425, 0xfbcdd044,
+    0x4cfd0030, 0x1c6c63e9, 0xf85a7d94, 0xda6ac0dd, 0xf5c847f7, 0x4bfd8e9c, 0x6d4beda9, 0xe6284969,
+    0xda31ffc5, 0x9685b922, 0x43cc01c5, 0x50d4fb90, 0x655d6866, 0x9817691e, 0xa3899284, 0x667b4dbd,
+    0x84255371, 0x17bf149c, 0x05d338e1, 0x54596bb8, 0x8ecadac5, 0xea6fbe21, 0xfb0f35e5, 0xcca8738a,
+    0x51a827e4, 0x48473449, 0x28b388d4, 0xc730277b, 0x9f6a78e6, 0x77ed9a5a, 0x79b2c278, 0xb4ef8fa4,
+    0x75e2976b, 0x26e1cfe7, 0xa127287c, 0x671f0f58, 0x1fe33e9a, 0x74281510, 0xbcb080f3, 0x72158a45,
+    0x2ecebba8, 0xb71a29c4, 0xb7cc95af, 0x9f9a491e, 0x4727e1de, 0xafe3eb9b, 0xf384f22b, 0x1cc1d997,
+    0xb6d2609b, 0x38cafb16, 0xbd78b0b9, 0x625798f2, 0xd6e4aaa0, 0x3fb393fc, 0xec48c3b3, 0x8d3a38af,
+    0xbd8808c4, 0xadd8e5dd, 0xdcbb3f50, 0x18b059aa, 0xece94372, 0x1b689135, 0x50522e5d, 0xf93ba074,
+    0x40dbafd6, 0x7d927f66, 0xaf4ad62f, 0xf470ab61, 0x9996a212, 0xe8a76fad, 0x8b5ccd6f, 0xc8f6b65c,
+    0x56815937, 0xc5cd166d, 0x04f509fb, 0x62a4927c, 0x9c6583be, 0x725bf061, 0xb6f92070, 0x39ff4ad9,
+    0x2362848e, 0x8cb5a239, 0x106c5281, 0x4bd2e89e, 0x81efad71, 0x6549a330, 0xb47d6578, 0xfc4f49d9,
+    0x10d7d2fa, 0x05110c64, 0x712e56b2, 0x16e7310e, 0x8cfc40ba, 0x806a8e79, 0x72aedc12, 0x8cdcbe1b,
+    0x390382e4, 0x72de22c9, 0xa275a3d3, 0xdda32440, 0xa0e33547, 0x1fd46b65, 0x27aeb8e7, 0x29d82e2a,
+    0xdb640d4d, 0x04ccb061, 0x1a58932b, 0xa77f64ed, 0x3b6e9cd6, 0xc9608307, 0x55f77a61, 0x7baf8f52,
+    0x3a8b2e9e, 0x38f07e4b, 0xfb192211, 0x6e3e265e, 0x854a64a9, 0x052ed62a, 0x6fb5eef5, 0x283239d7,
+    0x0d00ea96, 0x08e0d05e, 0x9a722adc, 0x8694a87a, 0x57823778, 0x784c79ee, 0xb248fb9f, 0xdaebf2dd,
+    0x0bdc00be, 0x9b1fc8cf, 0x84612012, 0x100d25a9, 0xc0db98df, 0xf2f4dfb2, 0xf1967051, 0xadc2f5d8,
+    0xe0264abd, 0x9494d3d2, 0x78be5e1c, 0x95812efa, 0x9b7e75da, 0x74024623, 0xe1e5663b, 0xfed68b1a,
+    0x8f416107, 0xa97b37f3, 0xb90be30c, 0xd5216388, 0x6af8bb24, 0x03862c57, 0xbf22b4d8, 0x30ea8ca7,
+    0x3d9e7de6, 0x9df1354f, 0x45d329b0, 0x1d27e687, 0xa20f3955, 0x3a5101e6, 0xe592c46d, 0xd23a5dea,
+    0xa144390f, 0x89d413fb, 0xacda02c7, 0x4dc374b3, 0x9d04f96c, 0xb2c82469, 0xb5b22983, 0x762366f2,
+    0xd32a4e46, 0xe8534e08, 0x4338e1a1, 0x5901f250, 0xcaab0773, 0x39333f49, 0x859ebd7f, 0xbe4c72bf,
+    0x70be0b5a, 0x124df626, 0x0eaabb55, 0x64b42fa9, 0xfc048fb8, 0xcdef64c4, 0x90c3ccde, 0x4429a0a2,
+    0x39755725, 0xb6c5a18b, 0x20370793, 0xd15ffc30, 0x6302e104, 0x083d4600, 0x040e0de2, 0x37ef39ff,
+    0xf0c62543, 0x9e07385f, 0x07e523ca, 0x3a51b914, 0xa67e7e15, 0xd369aa1a, 0x9ebf1e70, 0xb5d0f9a9,
+    0xb677a1ad, 0x83f79412, 0x1bdd6e1c, 0x1179dac5, 0x9b049a38, 0x04248926, 0x37c8e694, 0x6e20a933,
+    0xd34b5646, 0xcc690721, 0xcb2c5959, 0xf0c1ea3d, 0x24a8cffb, 0x68106892, 0xb8605bfc, 0xdacdf730,
+    0xc54cc522, 0x09484ac4, 0x9469ba24, 0xb4cab8d7, 0xb3395551, 0x74bb131e, 0xb744fbf5, 0x91a68d10,
+    0x3b080b89, 0xf9ff81fb, 0x5a6f2cbc, 0x1f14eeb7, 0x1821ccd4, 0x9fe70780, 0xba9d9d65, 0xda006ba6,
+    0x18cc1aa3, 0xe23d70db, 0xc78643a1, 0x5c070899, 0x20cf71fc, 0xa09344a3, 0xcec11cd9, 0x16437a09,
+    0x58b2764f, 0x143afd80, 0xb3d1c5b7, 0x88aa9951, 0x49365f0c, 0x43c6b856, 0xae39f833, 0xf738310a,
+    0x11cad1ff, 0xd84fb691, 0x27659b86, 0x5904698e, 0x06da5cad, 0x4186e059, 0x1949c049, 0x93b08caa,
+    0xee93d680, 0x426d2c74, 0x96f0d67d, 0xd6c9b834, 0xb049a38e, 0x728e4028, 0x4645b94b, 0x589caf58,
+    0x52790202, 0xe61e7c76, 0x6fb971df, 0xb270c6f7, 0x94e5df6d, 0x5d1fd4a3, 0x7d12b536, 0xbbd0d88a,
+    0x1164dc7d, 0x39ee65c5, 0x2ea7b8c7, 0x6bf8e0e2, 0xe201561f, 0x102033e1, 0x744a9842, 0x5446bad1,
+    0x63472793, 0xbdee0016, 0x0f1e3914, 0x168edf7e, 0x96c30d3f, 0x2124017b, 0xba3279c9, 0x64ccd381,
+    0xd19377af, 0xc7ce67fc, 0x720a0d8e, 0xe9350119, 0xaf15e10a, 0x51b6d4b7, 0x236345fc, 0x6644fd41,
+    0x02922dd6, 0x6d358176, 0xe151361f, 0xc82e101a, 0xa137acf2, 0xfe4fcc4e, 0x08011f2d, 0x34753770,
+    0xbf93a3fe, 0xcfe7d2b9, 0x2ba71f61, 0x58e5895a, 0x8d4cb926, 0x1e351b28, 0xf7953234, 0x7582f016,
+    0x6235e4ef, 0x35a1c8cd, 0x42bfb0b7, 0xe38d4c9d, 0x312b57f9, 0xe341e9c3, 0x86ead597, 0xdf7fda87,
+    0xc5bb41bf, 0x612f1250, 0x12ead216, 0xb161def3, 0x0cb236ba, 0x7b0a00b1, 0xd224a732, 0xec54c4d0,
+    0x70a62b10, 0xf5857956, 0xdc811e99, 0xa01e3f51, 0x71e49825, 0x70826f8c, 0x521a47ec, 0xa8ce1147,
+    0x6cb1c11e, 0x640e0fc4, 0x36aa76ec, 0xfd935331, 0xd1337e2f, 0x63cd50cc, 0x3106b565, 0xa686c6d0,
+    0x07ed53a1, 0xe6f074a9, 0x6705d0ee, 0x1d8f1616, 0xa18fed8f, 0x4d6b9c19, 0x86ec402e, 0xda7b9eb7,
+    0xe87aec6a, 0xed6df420, 0x23a8507a, 0x3cf4e356, 0x8b2ba1dc, 0x9ac2cf4e, 0x7ee420d9, 0xd7f5b191,
+    0x22382574, 0x5b3a324f, 0x2f23c18c, 0xa887d925, 0x34b91cfc, 0x96428405, 0xd8d6268d, 0x5dd7c3f4,
+    0x8d57954a, 0x070c427c, 0x9e285626, 0xb9891d1f, 0xb9383296, 0xae2b5307, 0x008627b8, 0x032e4167,
+    0x75a8d4c4, 0x79d20d6a, 0xaee797e0, 0xb7d28d67, 0x5169c558, 0x958b8d93, 0x285f6b75, 0xe4e63163,
+    0x00bca0ff, 0x2df8c791, 0xdf4c7320, 0x549a71ec, 0xabcff5f9, 0xef9986b0, 0x28972df3, 0xd68be429,
+    0xdbbacc1b, 0x0f9d811e, 0xe3e6071c, 0x4ef30c14, 0x6c25a012, 0x04a84ec8, 0xffbe73c5, 0x5c7fab5f,
+    0x879d44e8, 0x0b6e956e, 0xdfc973fd, 0xf1053245, 0xea8d2c28, 0xe6c05ad4, 0xbfbdc82b, 0x3c42c8e5,
+    0x051b0ab2, 0x81c548fe, 0xf6123ccb, 0x8e3886e8, 0x1d639e1d, 0xc21f4bac, 0xe5143c5c, 0xa12dd748,
+    0x36ff238b, 0x9be496e5, 0x3f8cf27b, 0x994189aa, 0x5604e1fb, 0x21710331, 0x68906212, 0x14d50265,
+    0xd57faf88, 0x00f41e7a, 0x83b6934d, 0xcdaac727, 0xc048a814, 0xb9f7c5f3, 0x83559af2, 0xe5b9f866,
+    0xa563fd33, 0xf827c8e8, 0x01bf3e21, 0xe335e659, 0xdd9fcf9a, 0x0269ddce, 0x12a08bc8, 0x62fd33b1,
+    0xe75bf5a2, 0xec0c91a3, 0xff97aede, 0xc6afa562, 0xa0d1b535, 0x832d0263, 0xd2b0bfae, 0x579290a7,
+    0xac2e6d6f, 0x6b5c9dcd, 0x13eec145, 0xf350a6a5, 0x296a79fa, 0xc0cb49ac, 0xb36eac2e, 0x65d40bdb,
+    0xbfb2044f, 0xbb46564a, 0xbe0ee902, 0xac07694a, 0x7925cb2c, 0x965efa9d, 0x6e221e0e, 0x8b0e0880,
+    0xb68dbbf6, 0xc27d2d0a, 0xb01e65dc, 0x7b6c066c, 0x033cffdc, 0xe16f0ed3, 0xfead5e0c, 0xb7411ed8,
+    0xbcddceb9, 0x02da2f66, 0xed0fea68, 0x32c11ed3, 0x22ae0a5a, 0xf69db69f, 0x957cfd79, 0xb970b379,
+    0x1a5bf7ca, 0x0d9d43a9, 0xf46e0191, 0x6f1580cb, 0x201efdbb, 0x1f32549c, 0x91458032, 0x673078f8,
+    0x1439a653, 0xaa463f14, 0x12d16cd0, 0x7a60d575, 0x5387c792, 0x800f2586, 0xbd6124d8, 0xf3a7e64b,
+    0xcda6be7e, 0x3f33070a, 0xf93a9efe, 0x2b96df58, 0x9663ba8e, 0x24c1ee45, 0x0567a22e, 0x6ffa4d87,
+    0xf2e57c7b, 0x2acd4fa7, 0x13c7dcea, 0x857b7974, 0xd7ce1404, 0x2328faa0, 0xbf5bad3c, 0xd5fc553a,
+    0x23a85780, 0xf83bb8ae, 0x0c82f1c7, 0xef405749, 0xcee6cb07, 0x2c1c97eb, 0x50936822, 0x12fcb10f,
+    0x5d79793c, 0x0ee532da, 0x1ccfe997, 0x74763d66, 0x70f33d8a, 0x8e8cfac4, 0x00d02b5d, 0x873580b4,
+    0x1e152a19, 0x3ffce71f, 0xedcb8c23, 0x3c66f42b, 0x2bff73fe, 0x746c7d9c, 0xbc1d151e, 0x4d2e8ad0,
+    0xf0c52fdb, 0xb4c61aea, 0xc4b37652, 0x9d750d52, 0x71ddeff2, 0xcf1ca1df, 0xe3819b1d, 0xdf3161e3,
+    0x7b1cd991, 0x9450418a, 0x66331af5, 0xf6e602ec, 0xbc3f86cd, 0xdc6c58d3, 0x69d5cd1e, 0x28af2ef5,
+    0x1e31da5d, 0x4bf01d21, 0xbe8bd717, 0xa2c78153, 0x2448dd7a, 0x853c06ce, 0xf9b7a951, 0x816d6d43,
+    0x5cb48d9c, 0xf27ea542, 0x96e67c61, 0x6c1f09dd, 0xb20af5dc, 0x60821c3e, 0x1ada177d, 0x6426aacf,
+    0x858f99f2, 0xdccd7b7f, 0x23825171, 0x99daf005, 0x134e5e4b, 0x8ce66873, 0xd21c2fe6, 0xe2aebd14,
+    0x5ef3562e, 0xcc0c31c2, 0x059f8c8d, 0xc981c350, 0xafc4ac93, 0x7eccee24, 0xff608326, 0x1a102fa5,
+    0xa83808ee, 0x8a688dab, 0x065cb72a, 0x4da7496f, 0x960cc072, 0xc60e58d9, 0x9290b28a, 0x500a692e,
+    0xb0ab288a, 0x8d9ba9b9, 0x30e58518, 0xfa265dcd, 0xe28c6c14, 0x8dd52df1, 0x4f4e5c17, 0x933b1f8f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000026328072917139296674479506920917608079723773850137277813577744384 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d6, 0xa748db55,
+    0x00000000,
+    0x9852ec8f, 0x22671be8, 0x7f894d96, 0x3af9ecad, 0xb67012f5, 0xb616ac50, 0x5b9e529a, 0x106e3f7d,
+    0xea902e52, 0xd50bb057, 0x5b36ba91, 0x89cf19ad, 0x822cd6fd, 0x0a98ea27, 0xe688312c, 0x2b02d067,
+    0x1db252c0, 0xa7a227eb, 0x2114547d, 0x50654648, 0x7a0ace9c, 0x8ae58c49, 0x16db5d56, 0xae02b3c6,
+    0xe686569b, 0x438fffd9, 0xebe786ce, 0x507b96e7, 0xa55dd6a2, 0xc61f2db5, 0x60cbbf57, 0xae041fe3,
+    0x899d0c13, 0x9d676e14, 0x6a9e1c63, 0x2e413818, 0x81c7c3a1, 0x0cd54cbe, 0xf3e19edf, 0xa63e4729,
+    0xae4954f0, 0x7eff7a2b, 0x9ab56599, 0x71ec6e8c, 0xdab3f3a1, 0x27c70565, 0x2e4e0d5d, 0xc97e4dcb,
+    0xd17b8a56, 0x13ed67b1, 0xb18d04ad, 0xc28b204a, 0xc16e64c2, 0x7eb92b13, 0x8434a7d1, 0xa581e270,
+    0x4204db8c, 0xec7ca7d4, 0x0f98fbc7, 0x18648b0e, 0x6107bcf5, 0x6fe8324d, 0xff49003f, 0xeb10dfed,
+    0x2090e48e, 0x0d7bf220, 0x6bc5f934, 0x8eebe338, 0x2c93a569, 0xaac11f8f, 0x18ff2c75, 0xbde3c758,
+    0x80ba1e36, 0xb592da02, 0x93722e1d, 0x0f739359, 0x632dfb74, 0xc78c3bf3, 0xc05f78f8, 0xa2b1e56e,
+    0xec859e9b, 0xe72b0e13, 0x4d08fdd7, 0x6a0d239b, 0x74b6eafc, 0x0c0c1d74, 0x1a07595b, 0x8a196b19,
+    0x2dc1155f, 0x69d93eff, 0x1fd755b0, 0x672ade00, 0x23924523, 0x0c9909b0, 0x77645b1c, 0x2f0882e7,
+    0x80a25882, 0xa3b60778, 0xbe052a78, 0xae4aa40b, 0xa1840c6a, 0x89ddbaba, 0x7ad4163c, 0xf1a3b5e6,
+    0xb6d10cb7, 0x23f57d8c, 0x2cabbd4a, 0x7987a3e4, 0x9a5510d0, 0x89649e0a, 0x250da246, 0x025c00d3,
+    0xdf7db856, 0xa00de345, 0xfd0120b2, 0x4f0f48cb, 0x7c32ea95, 0x57f4abfe, 0xe6ba220e, 0xad71363d,
+    0x93b1cdc6, 0x6567b2bf, 0x6590ea2a, 0x58d865d0, 0x80670237, 0x7a74914a, 0xc644ec2f, 0x27fb6900,
+    0x2d994e77, 0x9311b4b5, 0x392e6273, 0xba468937, 0xfa5e9b2b, 0xe832fa55, 0x2e4b86f1, 0x57a365ec,
+    0x3b70a13f, 0x86281b83, 0xe1457dc4, 0xb87f03be, 0x00ac56ca, 0x229a3b8a, 0x4f5e1d77, 0x2fa261cf,
+    0x8ed871fa, 0xe0eda22d, 0x3ebaea1b, 0xdfe39654, 0x5dd334d5, 0x326d5797, 0x64e36846, 0x5aa16131,
+    0x0c7a873b, 0xd2ba7b9b, 0xf6a81290, 0x872fdff3, 0xa7a3ae02, 0x0a543a50, 0x64e06795, 0xd9a82061,
+    0xf1b39698, 0x33e18d22, 0xae3fd333, 0xc7614f8f, 0x84df73b3, 0x801b3c5b, 0x2ecd5dcf, 0xe56f641d,
+    0x5788016a, 0xb85a010c, 0x7f889649, 0x6aecf3d4, 0xb7a3d738, 0x89654693, 0x00ab8f7c, 0x84b85c0f,
+    0xd5347b31, 0x1f5d8b95, 0xb20990b2, 0x519b5dde, 0x918ade11, 0x7f025a04, 0x83f298a1, 0xc68c0fdf,
+    0xeaed620d, 0x09bce0f3, 0x4111463e, 0x835bf9fb, 0x8eb2d636, 0x39fee1f1, 0x50bc16d9, 0x3994b8ac,
+    0x973fa1e5, 0xff0b4612, 0x303ea50e, 0x705db94c, 0x23a7c977, 0x12b75099, 0xbbde29cb, 0x9c4c030e,
+    0xd4747cc3, 0xb2e7940c, 0x445cb9c8, 0xc3bccdef, 0xe6618e61, 0x3d4dd525, 0x237036e2, 0xde048b61,
+    0x1b7eeacf, 0xbad9ba3f, 0x4588110e, 0xbb304c2c, 0x2be3fdbb, 0x418d7e5c, 0x46693283, 0x22ea2f92,
+    0x5ffd38a6, 0x5c963b6e, 0xc9fafc5b, 0x57ebacbe, 0x71dc9b66, 0xd2f19cf4, 0x12246a1d, 0xca81a0d8,
+    0xe2bee071, 0x6b78cd67, 0xfd9f382d, 0xca2c6539, 0xec9a74dc, 0x742c51db, 0xf071d896, 0x4c4f1001,
+    0x314011ee, 0xa41e1226, 0xe9faf202, 0x4d9c95d4, 0x6cd882be, 0xcb00c291, 0x7c389bd0, 0x6ce7145a,
+    0xdb4d8fae, 0x34776d39, 0x1a052830, 0x34b47089, 0x57b3b4cd, 0xe8986a5e, 0x01bd85d3, 0x4f7bcc92,
+    0x2fbb7380, 0xcb51f905, 0x767928c8, 0xfe25556d, 0x342a5682, 0x699a0fd0, 0xc8b133e2, 0x9cae0dc1,
+    0x3d916e88, 0xc0f5c3e1, 0x918bff2f, 0xd352d974, 0xa9c21b45, 0xb3879955, 0x363b0c11, 0x850a0e38,
+    0x48b792fe, 0x1718c6f8, 0x25ed3c37, 0xdb98e3c4, 0x03b44033, 0x0d65b841, 0x31db0800, 0x5fa3f8e4,
+    0xd06d780d, 0xe2556d4b, 0xf7953485, 0xfb6101cd, 0x36b50dd1, 0xdab1a410, 0x96712a8f, 0x175d7ff5,
+    0x439615fa, 0x97a2e5f1, 0x33ce58eb, 0x9e171b99, 0xaa65aff3, 0x43409040, 0x32c6d72e, 0x322476b2,
+    0x6a449397, 0x766d3240, 0xa8e03430, 0x65004783, 0x2aa1cebc, 0x6e04d718, 0x2d6752cf, 0x2b6d5b8e,
+    0x38c22055, 0xd5d788fa, 0xde384cf0, 0xc9640181, 0x161337b3, 0x01571dc9, 0xb974b495, 0x440c02d8,
+    0xdbe3d9b9, 0x1dfd2cf8, 0x9fa9aad7, 0x531dbc78, 0x0acbd647, 0x05807513, 0x35fb1249, 0xe1e17e5e,
+    0xc6a50465, 0x60bde3bd, 0x61f475b9, 0xf2f8d58d, 0x03f92d9e, 0x326c99db, 0x81316c00, 0xde9a01b2,
+    0x7b5b864c, 0xca051cae, 0x5fde2e4d, 0xd50ae7ed, 0xd2315299, 0x0e925fe5, 0xdfcb76dd, 0x226d0efd,
+    0xc4fe8150, 0x66a60721, 0xfb3dcdc2, 0xad259065, 0x78539efc, 0xd6a509f1, 0x65e2253d, 0xf03da870,
+    0x290a1fa8, 0x35c9d3ff, 0x5ff1299d, 0x1fee5bad, 0xa6f6e190, 0xe868cfd6, 0x15427fa0, 0x338bb8af,
+    0xd84344ca, 0x2af29a72, 0x04cbc5d7, 0x76dcfc6e, 0x8dcc085d, 0x6b23b9ad, 0x2c82a417, 0x9af65603,
+    0x30a64b8b, 0xa4e1444d, 0x4e19db74, 0xe5d7a34c, 0xeb88aab2, 0x801f5aac, 0x6837fff8, 0xd9297b84,
+    0xaaac119a, 0x7a0dc7f9, 0x64e68273, 0x31e6d19a, 0x4b150d13, 0x5dde5f59, 0x47adc8b2, 0x17a1482f,
+    0xd366909f, 0xff685caa, 0xff3dcff0, 0x7757da7d, 0xe6002836, 0xa5867b2c, 0xbe0c8f65, 0xbbcaa892,
+    0x261b15bb, 0x057795c1, 0x4c72dc3e, 0x30d373ed, 0x1d4bbb8f, 0x3b996499, 0xc0bf044c, 0x99e3fd94,
+    0xd8cbebfd, 0xca470eaa, 0x2ca7a94a, 0x1820274c, 0x64094528, 0x82c93b6a, 0xeda3c7c4, 0x65b071d8,
+    0x7cd96ceb, 0xc5958a23, 0xff37861b, 0x5a3ea97d, 0x9282b62e, 0xcc83f12b, 0x9fbee6cc, 0x0759d3c3,
+    0xc7734e37, 0x4642fd54, 0x5d139b13, 0x93faa505, 0x87a157da, 0x26e6888a, 0xfe1e9383, 0x9707f07c,
+    0xa84ac574, 0xebadfd24, 0x9c5e4846, 0x5c2f8c34, 0x4ebd1975, 0x392a0e28, 0x58cceb42, 0xac60bca6,
+    0x2111cb85, 0x997e42a1, 0x6de5b58b, 0x0dde4b8b, 0x816f5b70, 0xe21f8549, 0x7d8fba21, 0x211b29b5,
+    0x74815af6, 0x0ecd5f98, 0xc46b70bd, 0x13fadba9, 0x058b973c, 0xa035f67f, 0x167fe138, 0x161b66e0,
+    0x32381691, 0xe4989130, 0xc47c652d, 0xc14b4a03, 0xe6ae3932, 0xcfdc02c9, 0x6b7364d9, 0xe6e6ecb8,
+    0xf660baf9, 0x08dd56b0, 0xba4276d3, 0x06405e62, 0xf6af727b, 0x15aa4397, 0x38b63dcf, 0xf08216d6,
+    0x917a8c34, 0x1e02a0a8, 0x47677a90, 0x048e4c4a, 0xc3823325, 0xa66b9257, 0x90ed2518, 0xb26985db,
+    0xe47e1ec8, 0x05119dc1, 0x772d9a25, 0x59613305, 0xcc0e5077, 0x79afb4b3, 0xa3a91faa, 0x2d264855,
+    0x59c64df3, 0x8a5b7fc7, 0x226ac694, 0x20bd19e4, 0x7370e12b, 0x15dc59a2, 0xf3da62c0, 0xddca08e3,
+    0xcac97bc1, 0x48557cee, 0x08a37e1c, 0xd4d51eb5, 0xe9462c79, 0x9d690e9e, 0x7b779c63, 0x01fa84a2,
+    0xa3e50228, 0x43eaf391, 0x60eba8c9, 0xd51b45b0, 0xc24b254d, 0x2c6dbf8e, 0xb877f4e7, 0x0ea22ede,
+    0xd1d529f1, 0xd5f9e8e6, 0x5e246ff1, 0xa5dc8eae, 0x7e8a777f, 0x1badb024, 0xf4fcbe7c, 0x894eefb7,
+    0xdb6adc96, 0x16fa94e9, 0x0bfb32b0, 0x90d878f6, 0x4767e1dc, 0xfeaad071, 0xd6a0fd87, 0x8dfe2f81,
+    0x16778bec, 0x2c60fecf, 0x869ac278, 0xd021f927, 0x70d0a7f4, 0x206d8159, 0x7cfee983, 0x8a56e020,
+    0x9f7b89d6, 0x409797ff, 0x4243a258, 0xad47bc3c, 0xb92b495f, 0xc4d6b6d9, 0x5312a008, 0x6bf4eda6,
+    0x6ae4ce63, 0x3c812ddd, 0x85b85566, 0x7bc22c72, 0x93c016f2, 0x13749d23, 0x49119d5b, 0x7e148e50,
+    0x87bb9120, 0x62b59a63, 0x36e6b3a8, 0xf91a29d2, 0x8f54f2e9, 0xea4239b7, 0xcfa0e3a3, 0x2e467c8b,
+    0x996eb703, 0x93099a2d, 0x627d6e15, 0xd21e8fd0, 0x79d0c994, 0x5fd0a281, 0x898dacde, 0xbfa1bdbb,
+    0xb545f376, 0x87b8b669, 0x3632d0cd, 0xb4058c0b, 0x811c2a44, 0xc0e23444, 0x27cce3c4, 0x23463be9,
+    0x450bc6b9, 0xb4c44c87, 0x1682b43b, 0x51515651, 0x2623eae9, 0x255bd88b, 0xe8e1bfe1, 0x1b3692c7,
+    0x456d1040, 0x0a6a38bb, 0x6d1b2b17, 0xaed2adfc, 0xd5df8aef, 0xf95c22b4, 0x7cdbdbcd, 0x3bf2656e,
+    0x2a0779df, 0x2c4788d4, 0x4d650b66, 0xbd5c30a4, 0xc29718ef, 0xa65122d9, 0x2782b1d9, 0xe851baee,
+    0xa48213d7, 0x1735bc46, 0xcbec5c30, 0x91af0128, 0x36c4c0d0, 0x0e8f0b35, 0xbc026a5c, 0x5677188a,
+    0x83d08678, 0x47ec44c8, 0x011f3814, 0xeac0fd40, 0x526c32de, 0x8bb1ac3f, 0xba76a0f5, 0x9b2c741e,
+    0xd18f5303, 0x790817ae, 0x1541a523, 0x22751981, 0x6760b7b2, 0x3a6c6d25, 0xad1d85d7, 0x5dc7fac2,
+    0x70f88798, 0xd036bdce, 0x8d5f0a80, 0xe6cec1dc, 0xd65b514c, 0x6d46df99, 0x87b6004a, 0xfd8ef416,
+    0x2d066d16, 0x8def7d24, 0x7ec4d737, 0x23f7e8c4, 0x905f5a9d, 0x6f3d6960, 0xa019fe7d, 0xe3541b98,
+    0x44548554, 0x09a25d11, 0x11c52869, 0x59ab8b62, 0x8e1862a0, 0xea53e873, 0x6f7c3802, 0x21b8a5f1,
+    0x5af7f8dd, 0x8db148f5, 0xe7f146e0, 0x5616ff23, 0xae89fa13, 0x36017db9, 0xc41959cc, 0xe0dd25b0,
+    0xd3488753, 0x9b91d5c7, 0xcfe1ae25, 0xaa7cb5e8, 0xe1dc1aef, 0x46277e6e, 0x31983755, 0x4b5b83d7,
+    0x0f3d1503, 0x6ac053e4, 0x0285ad36, 0x4eb3f82e, 0x8ba5874a, 0xa1473076, 0x0aaf8554, 0x2a72836d,
+    0x3d538395, 0x16cf0120, 0x284b5da8, 0xaf20e383, 0x9a5e6e20, 0xe6cb1b96, 0x753f6a5b, 0xb1d1f13e,
+    0x7a8b7839, 0x7a13c19f, 0x862dc468, 0xd61141fd, 0x71bfd742, 0xdffd6f29, 0xb9c1c7b3, 0x413c78b6,
+    0x8217a3fa, 0xba4e49fe, 0xe76480c7, 0x8d69798c, 0x3a4f2ed5, 0x514e9793, 0xa9adb02f, 0x55105174,
+    0x1efe17d7, 0x5804129f, 0x9aa366d9, 0x970223b0, 0x9356ddbe, 0xad3803fb, 0xf511a5c4, 0x2ca2bfc5,
+    0xe2aa1d2c, 0x38d844ea, 0xcd522832, 0xf389ffd0, 0x12179386, 0x6ae211a5, 0x7acc5a2b, 0xc68e6acf,
+    0x156c30e1, 0x57f668e9, 0xf80505fe, 0x7cca1b0f, 0x894d1c39, 0x4b51b651, 0x84a640ea, 0x77457772,
+    0x86c443bc, 0xc5d8d351, 0x6a771cf9, 0xb6114c71, 0xb286da43, 0x61ba5678, 0xfe871397, 0x7cbaba5d,
+    0x1fd9e78e, 0x6894117c, 0x0558d7d8, 0x69783b06, 0xd95bcee8, 0x2e2e3e27, 0x3ac077bc, 0x2d91d5ee,
+    0x9fca5852, 0x20962313, 0x553acfaf, 0x99a9f4db, 0x6be8cc32, 0xd4563e82, 0x981e7cd6, 0x4a77c416,
+    0x44f9257d, 0x1be5084b, 0x1ff3f109, 0x2ad414fb, 0x03daa4b6, 0x810892e6, 0x90b52b54, 0x191ebc15,
+    0x136b37ab, 0x91e57306, 0x6858db30, 0xd54b8b9b, 0xdbf6a260, 0x76535daf, 0x0d511522, 0x9f78610c,
+    0x4228b7b3, 0x194a07c4, 0xab741730, 0xa7f01f1e, 0xb5ab1601, 0xee9910dc, 0x2eee6e4b, 0x53b1b2bf,
+    0xfdc3b2f5, 0x8512077f, 0x5815a098, 0x9f140efe, 0x3b87044d, 0x99cd7e48, 0xf24cc86f, 0x76dbba3e,
+    0xb400368c, 0x8eabe49d, 0xc5bc01df, 0x5fb10c02, 0xd7f0d060, 0x2797663f, 0x0bdeffc5, 0x021cdb10,
+    0xfa563431, 0x01655ab5, 0xc7c3faf5, 0x89e9070f, 0xd25fa592, 0xcc1d72b0, 0x543f6154, 0x8ce67389,
+    0xaf790940, 0x37adde85, 0x6ab7a11c, 0x7ee22059, 0x51b4dd63, 0x7660f3b3, 0x12152374, 0x14bda43f,
+    0xecb87d55, 0x9770864c, 0x1a8728fe, 0x13193aef, 0x548253ba, 0xe58460c8, 0xd8ed7df3, 0x89e04069,
+    0xb1ee8501, 0x3c07e20a, 0xd8291eab, 0x6fa3ed6b, 0xc973fc9a, 0x6bc1bd20, 0x27a79d92, 0x8790d997,
+    0xe4fdd3ba, 0x6b400f3a, 0x0ad07bc4, 0x839d6aa7, 0x3d892ef8, 0x967a6b08, 0xec32ba4c, 0x2936b3e4,
+    0x165f400c, 0x98c1c86d, 0x4c758ecc, 0x66526007, 0x3d78f3ab, 0xa2aab003, 0x41d488de, 0x015e8ea1,
+    0x436ed2b6, 0x9920e592, 0x2f000611, 0xcbdaa9b5, 0xf517cfbe, 0x0ba5da65, 0x49a7f00a, 0xedeb014c,
+    0xaeafbf53, 0xa2701610, 0x81ba4bed, 0x9561e75f, 0xf7c134fa, 0x09b0a2be, 0x5a2d67ad, 0x654a3ffa,
+    0x5a130e7b, 0xcfbf3e9e, 0x661c7d67, 0x9df87aeb, 0x2629ab1b, 0x7764a76e, 0x32446437, 0x6c921a13,
+    0x3a272212, 0x6fcf5a0f, 0x03d12338, 0x40f0e4d2, 0xed556998, 0xc860ba0e, 0xec419b68, 0xc5463cf3,
+    0x12b7ef21, 0x0f09de5d, 0x791da70d, 0xf8841597, 0x2b42f348, 0xaadd8ffc, 0xa8290abd, 0x1f6b6d51,
+    0x9d9cd8bb, 0x161b7f8d, 0x7e4f438d, 0x1ad0441a, 0x1a2bb7b8, 0xfa0dc11f, 0x9d5fd632, 0xbc1cc1bc,
+    0xaa5a25af, 0x8288fadb, 0x3820737d, 0x4c996f4b, 0x1e6cfb7e, 0x9af96e24, 0xa0a7d3ee, 0x93e27463,
+    0xfc68845f, 0xbfb020cf, 0xd8202cbc, 0x75efe630, 0xc53176a5, 0xf4f8fb8b, 0xeb3c8007, 0x2dfc15d3,
+    0xe35cc6e8, 0x71f07611, 0x5e125eb8, 0xba428280, 0x0f393773, 0xe37dfe92, 0x05f43d69, 0xe8818f5c,
+    0xf1b61edf, 0x6ecfe171, 0x6b293e96, 0x5aabdc45, 0x8da99acb, 0x9cdee9fe, 0x3db6d7ee, 0x62c09563,
+    0xb5b63f27, 0x0b30f2f6, 0x75b8d030, 0xcf54d71f, 0x3999efe1, 0x3bfddf88, 0xfbf42f6f, 0x047c58f0,
+    0x775ac066, 0x131f7ba1, 0x6f73811e, 0xfa9cfa4c, 0xc3c90c00, 0x9666a575, 0x2265d99c, 0x98853502,
+    0xb1982e81, 0x9a3b835a, 0x1a158e40, 0x51065288, 0xe2dbcef2, 0x1ba9b18e, 0xcaf7d878, 0xdff3a9b5,
+    0x74f6e07e, 0xadc2619b, 0x5c24e7bb, 0xc117e610, 0x53f9b30c, 0x6cb90184, 0xd21d6871, 0x94c7cc6d,
+    0x06c7d180, 0xfd74feab, 0x854aacd6, 0xde7421d0, 0x9a6e4985, 0xc8a0566f, 0x60402577, 0x9c382705,
+    0x24bed58b, 0x6a4633d1, 0x7017fd83, 0xa1ec7a23, 0x4bb72964, 0x8d795c48, 0x978f7f9b, 0xdbcd8593,
+    0x7627ddcd, 0x1d092160, 0x6ec55d9a, 0xdffc75f4, 0x3bbbd8f8, 0x315fbcd8, 0x3976179c, 0x2b21d3e3,
+    0x962c52d3, 0xc091846c, 0x6757e78c, 0x5732f549, 0x13cf4d3b, 0x766c6557, 0xab8453fc, 0x9dd039fb,
+    0xdcf0eb56, 0x98447800, 0xaf6d6a04, 0x4d0f09c2, 0x0a41bea8, 0x26302190, 0xe9365753, 0xdf9e7a8b,
+    0x2344cc60, 0x0ef262aa, 0x9b7edb5f, 0x5e990fea, 0x4f988333, 0x021a5056, 0x01b1243d, 0x246c96eb,
+    0xa0099e09, 0x5bfd9327, 0xfc6a07b3, 0x5a773b0b, 0x8a0d0abe, 0x35443e2a, 0x23dba3c7, 0x1b4138fa,
+    0xbffa660d, 0xb771b970, 0x9bf1525b, 0x1e94922a, 0x8f45aab3, 0x41b5d687, 0xa1b49cf5, 0xa605da14,
+    0xe9c44c50, 0xda35b011, 0xa2b3fab1, 0x7297851d, 0x8ccd4869, 0x6d3c2237, 0x6a312c5e, 0x492a41e9,
+    0x1697822b, 0x275cf7f9, 0xdf1b2ec7, 0xd2f5f008, 0x145ae519, 0x2b085c62, 0x81b7c857, 0xa4d9ad29,
+    0x2b59b45d, 0x5a544014, 0xdb92de93, 0x8d6772dd, 0x698665d2, 0xccdbcb97, 0x9e3fd44e, 0x56137024,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000013164036458569648337239753460458804039861886925068638906788872192 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8deceb, 0x53a46daa,
+    0x00000000,
+    0x8ba220c8, 0xcd3a036c, 0xc178e529, 0x47b53af1, 0x8c64a3da, 0x05d75ad4, 0x0c876868, 0x06b9ec45,
+    0x68d1e6e4, 0x858ac45d, 0x7c57a292, 0xd58adadc, 0xb0fb2368, 0x7803bf67, 0xd630cd60, 0x8ed3def6,
+    0xca3a82c1, 0x357bc745, 0x015e99ea, 0xb54d0770, 0xf45a8c3e, 0x447187d4, 0xc1a3eefa, 0xc9bae667,
+    0xde68ae4c, 0x7a72eaef, 0x54fe53be, 0xc982586f, 0x9506b62a, 0x45e7b82c, 0x4d0a5e36, 0xb925ae89,
+    0xf0063abc, 0x6872e100, 0xe228b562, 0x0dff5985, 0x07f106df, 0xce87b179, 0xe37ce974, 0x58a31457,
+    0xf7352b2e, 0x6f71ba81, 0xef242a20, 0x7b6f42c5, 0xe7390121, 0xc7fde48d, 0x824bffae, 0x231fad04,
+    0xa3d6cd67, 0x25cfa3f5, 0x3ec9e744, 0x6ff74f83, 0x13e3db30, 0x1966159b, 0xff016a35, 0xc192c68d,
+    0x3a7517d5, 0x31bd8061, 0xcc1e4f33, 0x857e5f60, 0x96ef3a3e, 0x71944214, 0xc54821d7, 0xda3c48df,
+    0x88881b66, 0x2f4b14d2, 0xba66c8e9, 0x8d2c625c, 0xe042ed55, 0x10c89bfc, 0x770de075, 0x944af80e,
+    0x684e5c9a, 0x9ea45191, 0x0fa086df, 0x3d5bda5e, 0xa53ff013, 0xeb8c4511, 0xd81d47e5, 0x85c56578,
+    0x433cc431, 0x8cfdca37, 0x52877001, 0xea194e11, 0xef4c877e, 0x4c22b256, 0x70400ac8, 0x29b0cf6b,
+    0x57df4243, 0xd15c0c08, 0x9935571a, 0xb1ab4df2, 0x1787ccca, 0x6e4b7f68, 0x3dfe87c8, 0xe7b0abc6,
+    0xe2514689, 0xc9c7f363, 0xf33da1c3, 0x1ae44eea, 0xd92e10a3, 0x10fffeb2, 0x9bfb3974, 0x2414acc1,
+    0x0a415658, 0x19e7c00f, 0x258108a2, 0x14a27261, 0xd01db3e4, 0x51d0812e, 0xb804c1d5, 0x8e3ebd95,
+    0x08fb4c2f, 0x5871c48a, 0xda83e749, 0x7d639e41, 0x95c23bbf, 0x4a410060, 0x1759277e, 0xc38c5a59,
+    0xd2d00c6f, 0x9007bd6a, 0x25f1cb82, 0xda0556d1, 0x720b5fcf, 0xbc62b2ff, 0x73306477, 0x29a6bb36,
+    0x92402ab4, 0xf630ed46, 0x7eca23a1, 0xa390df2b, 0xb5a5e11b, 0xbf728468, 0xa5c0457a, 0x62efa78a,
+    0x1d32161f, 0x82f31f1a, 0x116d10fa, 0xa71ee589, 0xe53ae7db, 0x653611ea, 0xf3df7e56, 0x10abc18c,
+    0x52a72aaa, 0xd3a34c37, 0x7286d59b, 0x4a960450, 0x512a8f0c, 0xd873a32f, 0xff173f41, 0xedacd54c,
+    0xff2a1779, 0x86deb530, 0x19e7916e, 0x829aaf44, 0x22df47f5, 0x0fe83292, 0x2aa37b4e, 0xd6c0b45f,
+    0xb712ce54, 0xf4349f4f, 0x02d5e9b5, 0xc2b02ec6, 0x911a84f1, 0x902c6306, 0x51a68a62, 0x85958656,
+    0xbc297133, 0x9725faba, 0x79f5e2ed, 0x9375c083, 0xe49ba85c, 0x999f9d89, 0xee3b3199, 0xbd15562d,
+    0x9391657e, 0xdeccc38c, 0x3311cc1e, 0xd605d77c, 0x36ce2b60, 0x3e1dbb61, 0x7cac0a61, 0x9efa079b,
+    0xb3a3b693, 0x2f7b114a, 0x316eca02, 0x3eb18c32, 0xc16131c6, 0x745d4561, 0x10b4ad18, 0x0735973a,
+    0x11d4c391, 0xaed70dba, 0x19ab45c3, 0x1452a9fa, 0x728be995, 0x8197e266, 0x3fde94a6, 0xbef9c46a,
+    0xef25d993, 0xcb01a5a6, 0x7dfd7eb1, 0xcdbf4910, 0xb297a841, 0x789bd374, 0x6d37f715, 0xd97055ba,
+    0xbd021918, 0x51ee02ac, 0x924600d2, 0x864563e2, 0x31861f1c, 0x54fbe2f9, 0x5e46ebda, 0xe0fa8083,
+    0xe58c00f0, 0xe57f230d, 0xb9af5b2a, 0x6d56f40f, 0xaec980f5, 0x73c966f2, 0x1204f29a, 0x4abd4f59,
+    0x755bd272, 0x28f88ab9, 0xc663d3c7, 0xd5debe03, 0xa344cc4b, 0x3f14f34f, 0x2fe6c5c1, 0x4a8f068f,
+    0x9e326369, 0x711194a8, 0x4a1ee32e, 0xf3465692, 0xbab58554, 0xa22cb291, 0xb769dd27, 0x1e88981b,
+    0xf6fb1e92, 0x39bc80e4, 0xf188d6e9, 0x04a0a78e, 0x2a2100ba, 0x42781a96, 0xbe116b37, 0x5d770c18,
+    0x70fdd0ba, 0x55a5777b, 0xed644a70, 0x11616df1, 0xd879e181, 0xbf1d8e7a, 0xb655d64e, 0xd8782cf8,
+    0xc4649e8e, 0xb158f36b, 0x60030eba, 0xb19f970a, 0xc629aa1e, 0xa6cf00b2, 0x05546a2d, 0xbb15ae8f,
+    0xd25b1e73, 0x746dfb52, 0x26f52165, 0x89de1492, 0xb83a93f3, 0x6082b957, 0xfdfa7744, 0xb01e4355,
+    0xd0dd3823, 0x0ac929c1, 0x7d758acd, 0xb4a5ed09, 0x595ac392, 0xcbda4ed9, 0x1697bc6f, 0x3ea736b5,
+    0x4036cceb, 0x834e3553, 0x737f8a06, 0xe1ca568c, 0x2689e306, 0x99b9556d, 0xd9927d70, 0x1343721d,
+    0x2bc10be7, 0xeb4ce3ac, 0xb45c772a, 0x5b72ad52, 0xb728d13c, 0xd6653b72, 0xd3786ea4, 0x49c5bd2f,
+    0x1144b11f, 0x38b6ee72, 0xfca51a3a, 0x20e45e62, 0x3785eea8, 0x4f57ce97, 0x446fe383, 0xfa87780b,
+    0xca4f4712, 0x7fd10675, 0x8e7dd9a6, 0x111acaaf, 0x85c3bf3d, 0x3034c9c0, 0xd690eec8, 0xa915e5fd,
+    0x5c274b14, 0xaa3e101b, 0x4d44d31f, 0xfb8b801d, 0x028dd193, 0x78a26bf5, 0xd7dcedb7, 0xff5f7a2b,
+    0x7f774af3, 0x6b7b3408, 0xc9b7eba9, 0x5d68f98a, 0x87121b14, 0x9f894bbf, 0x149552de, 0xb240898f,
+    0xe94a227d, 0xf6ad005b, 0x6bfcf226, 0x2e8ed7e9, 0xfa3b19f2, 0x483a7b35, 0xfcbeacc7, 0xff4a3ad5,
+    0x34647fbb, 0x4dcf0b57, 0x4a2e8c7b, 0xd1486df9, 0x57b0b5af, 0x62a479bb, 0x14ee260c, 0x2d8ddfb5,
+    0x9fba29bd, 0xbcd07a3d, 0x78fb1b3a, 0x265bcbb6, 0xb9b343d8, 0x35f83679, 0x60915737, 0x4409aefa,
+    0x22d02313, 0xc421add4, 0xa0a2873f, 0x04fc7a85, 0x378e87af, 0x619b86bc, 0xf4ca1a4c, 0xe698ee41,
+    0x17bfc2c9, 0x8f97befb, 0xb4e3a089, 0x830dd6c2, 0xef953c6b, 0x69d5b7af, 0xa36352b3, 0x4fd42683,
+    0xbc00a09b, 0x0d40f429, 0x6eeaa7f1, 0x6b5ddfe9, 0x17f636b7, 0x3cf9f52b, 0x492530b0, 0x8d822bd6,
+    0xc4fba41b, 0xfacdec7f, 0x3d07e204, 0x81d9592b, 0xc0e1750c, 0xd0410e13, 0x9a3fc3af, 0x390dba30,
+    0x4a01772f, 0x042ebd34, 0x0d60d3f7, 0xbcc7ee44, 0xf913c578, 0x7ef2eee7, 0xdea43a36, 0xf806bfe3,
+    0x31bdc517, 0x877c03c8, 0x855aff5e, 0x862d84c9, 0xc16e1e97, 0x4672157b, 0x475449c4, 0x0c37ae16,
+    0x28dcf47c, 0x77e99d19, 0xae72da20, 0x43009b5f, 0xe1267168, 0x74094b0b, 0x75f05307, 0xa54504e3,
+    0x0f6eb014, 0x4ce1eb51, 0xc1264159, 0xfc13ec02, 0x287de9c7, 0x715db8ce, 0x9192d5fc, 0xf3017893,
+    0x38fdf3f8, 0x538cf816, 0x04a7f24c, 0x48051677, 0xb4d81ee7, 0xc7dd67de, 0x508f0547, 0xee932157,
+    0xc395b36f, 0xed646598, 0xe4aea7ed, 0x67649490, 0x9ad18db9, 0xcea59872, 0x1ecf31d1, 0x3709464a,
+    0xeddc32e2, 0x49c5950a, 0xd4466950, 0x2c68a85e, 0xabaa31b7, 0x38152a20, 0x13466790, 0x7273d974,
+    0x877074c1, 0x5fb80538, 0x1aec7a63, 0x7dedec34, 0x1543a129, 0x54248528, 0x6141c3b9, 0x80b7a8c6,
+    0xa7922dc9, 0x438e5113, 0xe438e4a0, 0x7d7ac4bb, 0x3a16fcea, 0x3880a540, 0x4ff7c4e0, 0x514166b6,
+    0x336a376e, 0xd0192104, 0xef5f92f1, 0x9942d59e, 0xb7ec102f, 0x153546f7, 0xc1fb8549, 0xc746ed5e,
+    0x58f8140d, 0xeca127da, 0x2f183317, 0x3a1eec07, 0xb51a2f43, 0xfd17e951, 0x3b28f408, 0x69c04c11,
+    0x800fa887, 0x302925de, 0x951ae034, 0x936f5ebc, 0x32e81407, 0x62646d00, 0x41304ed0, 0xc2e51765,
+    0xd7f82549, 0x45c6e25d, 0x8f3bd201, 0x649b37b8, 0x2a43670f, 0x86f788ee, 0xeaeb3b80, 0x51c855c5,
+    0xecd16836, 0x92ef53e3, 0x80e72731, 0xe25612ed, 0x009e713b, 0x149c6eb2, 0x3d0ca70c, 0xe12aa853,
+    0x89d5726c, 0xe9d34a7e, 0x38bf77dd, 0x4badb3a9, 0x3ab5d268, 0x4d2c9cf2, 0xd10414e1, 0xab25d061,
+    0x8281b969, 0x8c5c8d7d, 0xbca02634, 0x154681e0, 0xd710fad1, 0xcc00b26d, 0x68725299, 0x58e6dee0,
+    0x797399df, 0x3545b72b, 0x6cef1ddf, 0xd7d74dcd, 0x0c895812, 0xd1e8b53c, 0x599bde4a, 0x48b1491a,
+    0xa3c251ba, 0x24461621, 0x5bc87ba5, 0xe4568f01, 0x2de69afb, 0x3701d2e6, 0x310a12b7, 0x6fd44e5d,
+    0x5858b5c0, 0x25ae0ba0, 0xcb1f4e79, 0xc769b7df, 0xb98b9164, 0x82294795, 0xb3b22728, 0xb078d12e,
+    0xc9a0ab38, 0x2a46b5a9, 0x1da676a0, 0xccef71bc, 0xee429e5b, 0xcefcc9f6, 0xf307f0cd, 0x8d9fc65f,
+    0x0a04527d, 0x4ba9c0a0, 0x6b935037, 0x5c2760fe, 0xaf244241, 0xc1cf0b53, 0x987197d4, 0x087eff5f,
+    0x01b38f6f, 0xb2f603f3, 0xd366504e, 0xf531c7cc, 0x119afad0, 0xc8495540, 0x7bb39f46, 0x29741f2c,
+    0x23b750cc, 0xb4f036b2, 0xa20000db, 0x98745d2f, 0x5cb98395, 0xba585ffc, 0x681bf070, 0x36d5de4e,
+    0x232e38db, 0xdf1dc98b, 0x50746874, 0x005e0275, 0xdf781451, 0xf85eb387, 0xb7fa0349, 0x6e3131b0,
+    0xfb8bd968, 0x6e2b34e6, 0xd2330d49, 0xadb6ca37, 0x7cd27d12, 0x4691dc19, 0x0e64f63f, 0x07366a79,
+    0x49bb2934, 0xf32fa1db, 0x6b9d7b23, 0xc1045049, 0x2354049a, 0x4dfad476, 0xf20276e9, 0xdc82cf65,
+    0x51d4a75f, 0x1fbb9976, 0xdcc4455e, 0xf166d477, 0x43c91db5, 0x8b531316, 0x6bb91d7a, 0x03f05018,
+    0x3be80539, 0x463d194e, 0x5c36d2ad, 0x1bb50020, 0x4beec97b, 0x5c57a3a6, 0x3ea21d38, 0x3b2be402,
+    0xc57dd395, 0xbd261e61, 0x2a0e8da1, 0xd76e3428, 0x52dd69e2, 0x98b3efbf, 0x814101b8, 0x95e98cdc,
+    0x87d27a9f, 0x48d7d726, 0x54e2e1df, 0x349aa228, 0x34f24c02, 0xa41746c8, 0xe484558f, 0xb81b3572,
+    0x80821201, 0xfaa9115f, 0x6ce22411, 0xcf7911cc, 0xaae3e6cf, 0x80c69d28, 0x40321c7d, 0x64a755aa,
+    0x68e5efc5, 0xe06b11b4, 0x948f8a77, 0xe083c60b, 0xea2859dc, 0x0fdcce8c, 0xcd9d21f4, 0x0a95d4b9,
+    0xc57e881c, 0x322deb0a, 0x3914acc1, 0x25d7de54, 0xb5662979, 0x079afa0c, 0x5a73e0e3, 0xb4d103e9,
+    0x6f27bea3, 0x144bab3c, 0x0ed1811f, 0xdfbeefba, 0xe28f8e06, 0xbb8723ef, 0x93a5142e, 0x7a0ef491,
+    0xcd7320dc, 0x56ee642f, 0x9a0fd7cb, 0x2d1c7bbd, 0x6141e015, 0x10d1c793, 0x4180560c, 0x4eced7bd,
+    0xd9b8138d, 0x365609d3, 0xbb7b88c3, 0xdfd7c50a, 0x2f1ee6a1, 0x7de4a63b, 0xfaf70cb9, 0x454025b8,
+    0x117f7a3d, 0xc91a8c89, 0x830c8d08, 0xaa94af12, 0x8ed6c03e, 0x13e06cab, 0xf6eb7ecf, 0x40f6af9d,
+    0x53911553, 0x60138d7c, 0xe63e581f, 0xce4fb8d9, 0xfc2965ce, 0x8952bcdb, 0x73dcc3ac, 0x0ad6cb62,
+    0x06147638, 0x73ebb94f, 0x80ee5098, 0x49710c19, 0xb7eca2fd, 0x99eacaa1, 0x004185b7, 0x049959c6,
+    0x5d2d22ed, 0x357343d6, 0x69a3de32, 0x4cda47d5, 0xe3379f99, 0x9ae9ac7b, 0x8b7f69a4, 0xbed33fa4,
+    0xdec7ee91, 0x393ef53e, 0xa96abfa4, 0x53cecfb7, 0x76331062, 0xafc995ab, 0x98985cc2, 0x72be719b,
+    0xc53eb232, 0x3ba4e983, 0xb460c6e1, 0x2af5852f, 0x632e809d, 0x45e26e41, 0xdc86f011, 0x943e81ef,
+    0x0f2c10f7, 0xdbfc5ef7, 0x30a711d4, 0x5ca3f080, 0xac4876e6, 0xcae48324, 0x4063ed3f, 0x8e997437,
+    0x38be430b, 0x45d3be72, 0x17610a74, 0x65587ebe, 0x2f4646ba, 0xbf110630, 0xfcc8e95e, 0xe2653dc9,
+    0xbb5aaec0, 0x66b85e0a, 0xb786f11b, 0xdf11e67b, 0xa17bdd8a, 0xcf58138f, 0xc233b134, 0x59600cde,
+    0xb369d9fe, 0xce567e19, 0xefd48a7a, 0xf9581922, 0xb7fbd0fb, 0xb3712668, 0xc4ff01ab, 0xa981ae8f,
+    0x70005b32, 0x199a6810, 0xd4390aa1, 0x34adae29, 0xc4549747, 0x8166d8e0, 0x64b6abc1, 0x99a58745,
+    0xd1b21704, 0x347c208f, 0x94a44415, 0x32ef1fc2, 0x568aac60, 0x083be15c, 0xb16d565b, 0x39075d5a,
+    0x63859b50, 0x6ff8934e, 0xcd132dae, 0xd3b1ad15, 0xeb7601fb, 0xe7a7621d, 0x87974bab, 0x22c364c3,
+    0xbbaaa18b, 0xb01c2344, 0x2196e258, 0x3efa88e7, 0x8307b979, 0x41631dd1, 0x8bfa2e54, 0x69924ae0,
+    0x5062300d, 0x441508e7, 0xd738b6ee, 0x5c8ab70f, 0x036d3d2f, 0x3e42da78, 0xfb6f8eed, 0x18bf1297,
+    0x254f2603, 0x20072a4a, 0x85c3644b, 0x8eedfc80, 0x633969e0, 0x198342c1, 0xd658b907, 0x4b57f49b,
+    0x8071df0f, 0xebfabcd9, 0x2a035391, 0x374e1d0d, 0x8ecee342, 0x35cd3b9b, 0x508514f6, 0x489d48ca,
+    0x3c647ac8, 0x266b0b43, 0x7a6fdf78, 0x2e8c425f, 0xae9818bc, 0x0aec485c, 0x1bbbcbe1, 0xb7531eb7,
+    0x8fe26eeb, 0xe18debb8, 0xd2149d04, 0x3dcebcbd, 0xa3d81c96, 0x2fbebf52, 0xcd49eff2, 0xc906e3ec,
+    0xa1c219d6, 0x01b5b84b, 0x58ccf80f, 0x15e08a29, 0xb5253c1b, 0xcf11b0d4, 0xc23945b0, 0x8b910124,
+    0xe1f07931, 0xf779dea2, 0xf6839b71, 0xd35e18e6, 0x74aea3ba, 0x8b0970ee, 0x521f5af7, 0x8b5d2d3b,
+    0x30e59e2f, 0x3d22a018, 0x88e496c2, 0xe3816d59, 0x72201eb8, 0xc2638f8c, 0x63833a4b, 0x59df9714,
+    0xce7e7d75, 0x230b1a97, 0xafe97d77, 0x445d9a8b, 0x948eb222, 0x7ac47f66, 0xc4f3877e, 0xf97d3e7a,
+    0xa26852b0, 0xc6535940, 0xb8a9abb2, 0x52a08681, 0xc05eb7d1, 0xf9523f51, 0x681bed1c, 0xa479a5d0,
+    0x034d0aa4, 0x9ecbcaa0, 0x1b253b69, 0x87e380b0, 0xc9f71709, 0x5f694629, 0x480329f2, 0x4bb73211,
+    0xa835f48e, 0x6148080e, 0xe680bb02, 0x5f38760e, 0x9fce1a6c, 0xbb64a846, 0xbd19abbf, 0x8328d6db,
+    0xabcc6bbb, 0xa4ef82d4, 0x2f0f14c5, 0x51b25d29, 0xb97cad9a, 0xc1887440, 0xfb357b2b, 0x074b6537,
+    0x6a0fff94, 0x755552b2, 0xbf68681c, 0xc79cd4ce, 0x67b82313, 0x6a1c6371, 0x88e94fc5, 0x618b2a73,
+    0xfc8e3a7d, 0xcc84afb7, 0x7b1fdb8d, 0x150bdfcb, 0x69e16054, 0x86c2054d, 0x43ffb203, 0xe24f9cce,
+    0xd47a8684, 0xb365f39d, 0xde63946e, 0x76881aff, 0xc3ca744e, 0xc2c054dc, 0x58c63c17, 0x47253121,
+    0x1fb3aa5f, 0x43b004c4, 0x9555c735, 0x3244e109, 0x7a8e241b, 0xf2f2c933, 0xcd11c2bf, 0xf751d1b0,
+    0x75d111e8, 0x4a4d9d74, 0x9b8bb35e, 0xc4c5b986, 0x79a576b1, 0xd92bacfe, 0x5309a62d, 0x8b9a878b,
+    0xe2fb23f3, 0xabd8cd74, 0x88dfed55, 0x2cd9eea6, 0xe49b83bc, 0xcd054320, 0x80e2228c, 0xbed5533e,
+    0xc97d842f, 0x22fc4c58, 0x67ce6bef, 0xc33afc69, 0x356cc688, 0xfb5e19e8, 0x388ad430, 0x2e0a7f99,
+    0x7eae0945, 0xc3485db8, 0x1881ebfe, 0xa8f4321e, 0xde928d73, 0x6512b00e, 0xa07e6979, 0x981e12d6,
+    0xf538d8e8, 0xa52b6e9e, 0x2ac82ec6, 0x872fff38, 0x4bd6b3d1, 0xeaae424c, 0xaa5cd66a, 0x0529512a,
+    0xf695165a, 0x6a9e538b, 0xbfb61b8b, 0x7bff550f, 0xea4f3788, 0xd04770ab, 0xcc7973e5, 0xd64c9fa7,
+    0x7ed13926, 0x23bd09c2, 0xefcc541c, 0x44b72df3, 0xd050927d, 0x859e9c0e, 0xe486f86e, 0x8a5ee521,
+    0x3a9fc598, 0x07ca8935, 0x4a045e81, 0xa89215bb, 0x87c5dd76, 0xd4204d37, 0x5484090e, 0x825821a2,
+    0xa79e4624, 0x631b66a3, 0xe1bd9c33, 0x6b15991c, 0x8fa6e6da, 0xfd270f36, 0x1b331f6a, 0xb4348554,
+    0xc14ea348, 0xfeeac7e6, 0xb5eac8f9, 0x3904c28d, 0x4bc476ed, 0xbb46a743, 0x9db4a0bf, 0xef55c59e,
+    0x0e8d41c3, 0x1716e29d, 0x4583a096, 0xe4b4801b, 0x9cc96ffb, 0xe4eb1eaf, 0x612fb6a9, 0x3077743f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000006582018229284824168619876730229402019930943462534319453394436096 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f675, 0xa9d236d4,
+    0x00000000,
+    0xbd1103d4, 0x2d5e5c16, 0x71c8c15b, 0x49c7a16b, 0xbf692a7d, 0x4e313269, 0x05555f3e, 0x881ed6cb,
+    0x192acb6d, 0x2ccfd433, 0x6cf53aba, 0xcffd688c, 0x78165da7, 0xb3fc671b, 0x9b86ce19, 0x5dae71df,
+    0xe4f018a8, 0xf4cf78c4, 0xd467d14e, 0xc6ebfc10, 0xeb90b924, 0x27cadcfc, 0xf45d13de, 0xd3bc4604,
+    0xdbbf416a, 0x8d9d9f50, 0x2f322aa9, 0xf60e734e, 0xe82b2c2a, 0x71f9ef27, 0xc3638dc4, 0xddd8c498,
+    0x63f59841, 0x243efeec, 0x1b791bcc, 0x66a52abd, 0x84622cb6, 0xe88e0810, 0xdcb8d848, 0x616a5b57,
+    0x1feda6d4, 0x11e1b155, 0x45f8ebe2, 0x96bbe2ca, 0x9316a74b, 0x59c56689, 0xc24f0073, 0x07562b66,
+    0x1add408b, 0x3ceed18a, 0x0026c03c, 0x33119e73, 0xcb16af43, 0xab42567f, 0xd577785f, 0x1addc1b5,
+    0xff8ddf05, 0x434d1083, 0x413f4d27, 0xf25edafc, 0x8dfb5d2e, 0xf65a8033, 0x623d2707, 0x58db49f8,
+    0x4512da36, 0x66419750, 0x9a9b8665, 0x327b7028, 0x66caacc1, 0x9ee6969c, 0x7557d5e6, 0x747da524,
+    0x39dd15f6, 0x0f88914a, 0xd62d8007, 0x28e45cb3, 0x5eed0d27, 0xd65745b3, 0x7a974b46, 0xdcd0f398,
+    0xe82cadae, 0x8def1416, 0xd631aa89, 0x2fda7b2a, 0x5d07940b, 0x32d5094d, 0x6d32535e, 0xe8626e83,
+    0x88dc0728, 0x1941966c, 0x88e4e264, 0xbeed5b4e, 0x6ff33a60, 0x3545e235, 0x782106f1, 0x39899e7b,
+    0xd4526f8f, 0xc531a01a, 0x7c51c0e0, 0x15ee4d4a, 0x1b3f9522, 0x7b37c063, 0x0e2e0300, 0xde22aa49,
+    0xf9b49040, 0x370d3485, 0x97a927cd, 0xda04750e, 0x43a40fbd, 0x008e5e7f, 0xa8bb6009, 0xa65c9849,
+    0x9cc4664a, 0x79158f56, 0xc2284eec, 0xa5178df4, 0xf6bc7042, 0x3a666650, 0xbb5acfdc, 0x5362ce76,
+    0x50e70d91, 0x1bd81cab, 0xe666ed55, 0xbcfc61e2, 0xe1e66eb4, 0xbc06f021, 0x9e86b0a8, 0x5c9a773d,
+    0xa3ea5b20, 0xb7df750c, 0xee9d089d, 0x88ffff36, 0x8893d551, 0x88eab345, 0x54e3128e, 0x12018819,
+    0x9fdbeb50, 0x07edbe4e, 0xad2e14a5, 0x82606dc6, 0x46177d97, 0x73270db5, 0x6eec0fe8, 0x25102620,
+    0x47817035, 0xa8dda0fd, 0x0f064ef9, 0x260cd141, 0x2a639b8d, 0xf17cf9f2, 0x6485e9a0, 0xcbd5e92a,
+    0x0c1636c8, 0x34ffd2ef, 0x64b299b5, 0x07c53ebb, 0x27875cdb, 0xac0e9a0a, 0xab71dfc5, 0x0da49938,
+    0xeab13b1b, 0xeec6becf, 0x72bb2c48, 0x33149701, 0x78661fec, 0x3ccebe57, 0xc9916940, 0x28e32600,
+    0x1e02b2fd, 0x0a246892, 0x30cab1bb, 0x55d6fa93, 0xb907e2c9, 0x990f60a7, 0x35f05d72, 0x516e6936,
+    0xff51fb51, 0x385fa98a, 0x33c98bba, 0xe93b2769, 0xfd8b65df, 0xc2e1205b, 0xff1e7a9c, 0x3ac45279,
+    0x7a7688e4, 0x7ddeb89b, 0xfe0e59d7, 0xbee233bc, 0x0ab08056, 0xfd9717bc, 0xb247c24c, 0xd573a475,
+    0x08f1ba7c, 0xe18e714d, 0xb193e03e, 0x2ec5fae8, 0x77d6c571, 0x0d06f1e6, 0x88d031c3, 0x7b6679a9,
+    0xaa16971f, 0x0a97b284, 0x1b64d7f1, 0x95536734, 0xbff112cd, 0x1ce964db, 0x8eb428d2, 0xe49ad739,
+    0x7e3956a2, 0x288bdea8, 0x81a40c0a, 0x0dbbfeea, 0x106139a3, 0xb4d0719e, 0x608ad663, 0xc607c24c,
+    0x91a2fb09, 0x7e9f0fcb, 0xab354c9b, 0x7256f124, 0xb7c338d4, 0xc351d4a5, 0x03e807fc, 0xf697e1f8,
+    0x90e815f8, 0xf84cd7ea, 0x189c566f, 0xb522e9a7, 0xb297c16d, 0x96b00ae8, 0x33fe17b7, 0xa61f585d,
+    0xaf8290c3, 0x04a59b3e, 0xb1284514, 0xe496d62a, 0x2a7cd966, 0xdd307210, 0xd17887f6, 0xa15d70b7,
+    0xefcb6e80, 0x4ed5de6a, 0x933044b2, 0x718d73f9, 0x11f1049b, 0x5092e9a2, 0xbf7c62f0, 0x1bb7c222,
+    0x109f3aab, 0xc763cd57, 0xafd30d7b, 0xcde0ad1e, 0x1eaa80a6, 0x6bb04237, 0x92ebd6dd, 0x49315b30,
+    0x8d7743cb, 0x82896b8f, 0xb7c56760, 0x9f745204, 0x04a92c88, 0x3e140878, 0x6656c52e, 0x4ca4235a,
+    0xfb2be8cb, 0x9cdef477, 0x2925c38d, 0xc158042c, 0xd66d1cf1, 0x24f1bad2, 0x174dda9a, 0xef157c89,
+    0x0dea7604, 0x7434c1ae, 0x5680aed5, 0x3c48bd81, 0x468bc001, 0xc9dfe596, 0x375aeba3, 0xe600118a,
+    0xf68ec592, 0x5506a4b0, 0x49a6cc9a, 0xb3a2328a, 0xbb065759, 0x687bc43b, 0xb9abff1b, 0xab3908b1,
+    0xaf715d57, 0xaf4adcf1, 0xeededb2a, 0x443b7c29, 0xb54013ce, 0x29959952, 0xf50e17bb, 0xf06aa905,
+    0xfe51eb9d, 0xee43ce21, 0xd568dffd, 0x1ab14250, 0x563f8fd1, 0x4f7cda60, 0x68be1ce9, 0x6447984e,
+    0xa0bca260, 0x3d1b8e8b, 0xc033f7ff, 0xe16b281b, 0x09487f6c, 0xe8e050c3, 0x743f971a, 0xdcda58ff,
+    0x3337c9e0, 0xc8a461b0, 0xba925be7, 0x25c0abad, 0x81aecdeb, 0x45c23904, 0xbf75ec66, 0xa1efd296,
+    0xce0ab6e9, 0xbcb6eb3d, 0xbfc9c4c6, 0x5f7d9707, 0xde6a554d, 0x520c58eb, 0xe7163786, 0x386ab4b4,
+    0xd7f1ac9a, 0x735ac8b7, 0xb6d5b40c, 0x885d3a36, 0xbea057ad, 0x94c88f59, 0x493ac4ec, 0xe0845587,
+    0x5c399ac9, 0x0dbe73a7, 0x35a8dcf5, 0xb7971936, 0x603211aa, 0xe5c2245b, 0x4bd87072, 0xe8792763,
+    0xe5410e8b, 0x8638ee26, 0x472a5cf7, 0x515d79cd, 0x00111703, 0x391deccd, 0x1513fb8c, 0x6e454adc,
+    0x3a154cc5, 0x52c15719, 0x8053bab4, 0x1cd48fd8, 0x1f300bc5, 0x7d4f36b3, 0x9a51301f, 0x5bb5c285,
+    0xcc5d126d, 0x7164a06a, 0x94912397, 0x0072b39e, 0x1c97a4a4, 0x92508b31, 0x2a699d6e, 0xd37674d1,
+    0x3c99dabe, 0xec3f9e0c, 0x9b3b21aa, 0x11b2cd3f, 0x2e63be23, 0xeabda4f0, 0x51120241, 0xc426bcb0,
+    0x36d51469, 0x330c54b3, 0xef80d7dc, 0xd0b41887, 0x2be0dc7d, 0xb97d2674, 0xd7670803, 0x2f23ae4b,
+    0xe3e51845, 0x185cd2fc, 0x29d9b648, 0xcfd84c76, 0x590ef944, 0xbde67b0b, 0xf90ba8a3, 0x87e83839,
+    0xb5c1a910, 0x1e42bf42, 0x598c35a7, 0xf3b540be, 0xc1b0a3a7, 0x05c4275b, 0x8786b09b, 0xa85b7a0e,
+    0x4706fd87, 0x9d473570, 0x4543ea46, 0xcb631828, 0x29e799ee, 0x41a915a9, 0x7a48e460, 0xe917e2ab,
+    0xad5c3ed6, 0x1dd18a59, 0xbde5f875, 0x837f5b6c, 0xd43a70f3, 0xe34b1e2d, 0x81cfca34, 0xf2c94fe9,
+    0x924795f2, 0x98c6af0c, 0xe4ca642e, 0x83f201cb, 0xd868a3e4, 0xbecd34e5, 0x796773a5, 0x2446095a,
+    0xcb1a98d0, 0xd421e13e, 0xf76d963e, 0x67240a47, 0x739d1fa6, 0xb81b5775, 0xfd48ee19, 0xeb5c2b6b,
+    0xdd63770f, 0xf21ac73e, 0xf5a412d1, 0x9da56886, 0xe6503c7a, 0x198ca898, 0x871b0885, 0x3fba3942,
+    0xb7070488, 0x17533fec, 0x066695d1, 0x296a4200, 0xf5d41e5a, 0x32879a22, 0xe130b955, 0x57b91317,
+    0x21479c6f, 0xd46c26ef, 0x76fb313a, 0x3d13e2a0, 0x6d9b30cd, 0x37211821, 0x6a33bdaf, 0xd105439f,
+    0x3a772958, 0xb9b72bde, 0x09098657, 0x7ee09fc5, 0x3b1e9ffe, 0x0f28dc7a, 0x7e096fa2, 0x52555823,
+    0xc0727368, 0x2c26e28e, 0xb2624848, 0x5cc27d04, 0xeab25c4e, 0x866fb07a, 0xa6e6291d, 0xbcacabe3,
+    0x0fa0b9e8, 0xf5d66b8f, 0x893988f3, 0x06c0ee24, 0x95409724, 0x3a4da8e6, 0x55d0dfb6, 0x1aede376,
+    0x2a61acba, 0xbb37594c, 0x333083d0, 0xabd6d7dd, 0xce2d9f59, 0xc5e430ba, 0x161cf08c, 0x8dbac0be,
+    0xc4ff051d, 0x3758524e, 0x36a2b144, 0xce072381, 0x97d3508a, 0x58381026, 0x10ed9404, 0x94cbaae7,
+    0x4e3b6d87, 0x665de981, 0xf2a492f2, 0x834ad180, 0xce71ed84, 0x935e9173, 0xeaaa9bcc, 0x89d84046,
+    0x67b53ff3, 0x1c4e7861, 0xa8d6b0f8, 0x50828a77, 0xeca03704, 0x4e54eff0, 0xb77d09ce, 0x66bd6a36,
+    0xc81f5b54, 0x8d42120b, 0x4d55a151, 0xec256ad1, 0xb3fee498, 0xc072b2dc, 0x9ac32b92, 0xed93ed5e,
+    0x63d57241, 0xdc71e953, 0xd333456c, 0xc6036e8d, 0x0ac6d1da, 0x0634191e, 0x33a149db, 0x18991281,
+    0x6c1b4832, 0x9907ec7c, 0xdb40aea6, 0x34162c33, 0x748a2540, 0xa29409b9, 0x2b0c9b64, 0x786abf30,
+    0x6a5c4f3e, 0xa83adc3d, 0xf77d173a, 0xf0e68f5b, 0x346f8a78, 0x6eb3490a, 0xc5e5122e, 0xd9225ef3,
+    0x1cd89045, 0x717eeec3, 0xc28e62f6, 0x801a585b, 0x3a65cd84, 0x134be0b6, 0x38962352, 0x5cdeff3a,
+    0xc97af0bf, 0x02c3cf92, 0x20d240fa, 0xa65dcbe7, 0x6a146907, 0xa9b49f0c, 0xe850743e, 0x07a2b24b,
+    0x83a27196, 0x10f73d07, 0xeb1bfcb7, 0x166fd168, 0x30c3562f, 0x47276b47, 0xe3f615ee, 0x9398af11,
+    0xef7262b4, 0x0e2f884e, 0x7d08a768, 0xe34abf7c, 0x24d4ea54, 0x9136dd5a, 0x263ba330, 0x4244d4d8,
+    0x8020c47e, 0x85236143, 0x10dcf5ab, 0xe3c22eab, 0x935e71b0, 0x84901813, 0xfe0c9c68, 0xcb532000,
+    0x80c75f4b, 0xfb1d0312, 0x55b0b051, 0x86d56c04, 0xe16a2520, 0xfd2dd1e8, 0x86d6f4d4, 0x93803218,
+    0x50bdcc79, 0xbb5428f6, 0xdd28d005, 0x043a1ffb, 0x6ccd2140, 0x871a2142, 0xf32e1abb, 0x04aa4a22,
+    0xfab057af, 0xc68bdc84, 0xe09a8391, 0x8f52887b, 0x8a6a3dfa, 0xdc8bace8, 0x4bc9a4cd, 0xc9235de5,
+    0x6ffd7c39, 0xd37c2981, 0x9f752d0b, 0x6f6198b1, 0x8f729ef0, 0x7fcef563, 0x01a3123c, 0xf0330039,
+    0xc0a8ff95, 0xf298328f, 0xdda30516, 0xba103c26, 0x3e5ed410, 0x90c386c1, 0x6de02fdf, 0x53b8dc11,
+    0xe63b9a20, 0x601b398a, 0xc1bd8d25, 0x53654c15, 0x9ee02de7, 0x1bd25068, 0xd2497f7a, 0x6ee4ea2c,
+    0xf8715ec2, 0xab048379, 0x66be3972, 0x38461e63, 0xd76da505, 0x4fbece96, 0x3030635e, 0x297bf63a,
+    0xa3641bc5, 0xe74a8962, 0x2a8445fc, 0xd7bf8c03, 0xe0910c45, 0x6e13cc33, 0x52339cf5, 0xdc65fe31,
+    0xe52273c1, 0xb5ad1bfa, 0x2532414e, 0x5a74bfc5, 0x90e00486, 0xdb23b943, 0x1f538f8a, 0x3f07692a,
+    0xfd727a35, 0x55d5c0b0, 0xe2f4f62c, 0x4a2d0f2d, 0x1d87503c, 0x6bce2a8d, 0x0bde18b5, 0x612a4f60,
+    0xb35c5288, 0xeac16508, 0xfb9d6625, 0x1b55efc5, 0x615526ec, 0x8c3c1f69, 0x1dd05bdc, 0x9f63ca90,
+    0xeb5767d6, 0x71f56c32, 0xd5a570c0, 0x749d620a, 0x786edbcb, 0x42457a33, 0xd0a42bd1, 0x901be53b,
+    0xb08a7744, 0x287cd34d, 0xfb47a775, 0xa52556af, 0xafe6f76c, 0x50b4169b, 0x11bfb077, 0xb4475e98,
+    0xdc6ecd13, 0x11e93f89, 0xe18ea8d6, 0xc85b3f4c, 0xf0a8682a, 0x72ba4429, 0xca6f86b4, 0xd333e172,
+    0x26ab85e8, 0x71f83c72, 0x45be3d6c, 0xc7628ad3, 0xe4fa4da3, 0x4fe1dcba, 0x2adf843c, 0x0e281b72,
+    0xf30ca8bc, 0x5c7a8969, 0x0e8b57e4, 0xe43c3087, 0xe55f4138, 0x52fe4a98, 0x904bd86c, 0xe48960cf,
+    0x5541ef5b, 0x8bc4cdb6, 0x0ce5fa71, 0x2cc656e8, 0x5d991323, 0xdc9edfc8, 0xe722db5c, 0x6fb662cf,
+    0x069aca0b, 0x62201dc2, 0x39d81cb6, 0x734d9597, 0x73f4a608, 0x230e0ef6, 0x112d416f, 0xbd04a566,
+    0xc436d8ed, 0x775b219b, 0x86fa692e, 0xfd0ea867, 0xe5c640c6, 0x8c9ec9ca, 0x26bc9d2c, 0xf4f2ad18,
+    0xf761a85d, 0xff2a5126, 0x9c681caf, 0x405b4ff8, 0xadc4eb93, 0xa93cbf3a, 0x0cdfb3ed, 0xf256bd57,
+    0x23971193, 0x6b54bda6, 0x9920f60d, 0xdfc8060e, 0xd845f589, 0x42a33a09, 0x10219ea2, 0x3d29f950,
+    0x2e7259b4, 0x1fcd701f, 0x03a18008, 0x171f5a03, 0x8f181e8d, 0xfeba5042, 0x2bc5613f, 0xdbe003a1,
+    0x938c7d99, 0xf777a488, 0xf1086b1c, 0xad23b10d, 0x2880877f, 0x659ead24, 0xc6e10329, 0x031e3094,
+    0xa3e73e03, 0x8494700e, 0xe8c87daa, 0xa59e3dff, 0x0bc76a9b, 0xd348177d, 0xa07084c0, 0x5e1781c2,
+    0x80bcaf43, 0xaf824206, 0xbae2c653, 0x98d50f5d, 0x54a929eb, 0xc235979d, 0xc07d7efb, 0x9e6951d2,
+    0x040e2681, 0x0f9095b3, 0x83c722ee, 0x1c2ea131, 0x784aac5d, 0x3b6b8c89, 0x65ebc980, 0x674956c4,
+    0x1aa32a50, 0x5caf870e, 0xd9f24d79, 0x4ff2488e, 0xc9ae572c, 0x51ecc69d, 0xeb0fe064, 0xd6dbb638,
+    0x4a1d9178, 0xe13a2786, 0x5df4f331, 0x0a6cdb0b, 0x7fa5fda5, 0x543a986b, 0x03c0e685, 0xfd298261,
+    0x575e21d3, 0x4bfd98b1, 0x47c03780, 0x7155d027, 0x4a6960de, 0x8d48ad8e, 0x9bc92d21, 0xa246db8d,
+    0xa67959e5, 0x8868aacc, 0x6a15cece, 0xba1a4e06, 0x7ad44695, 0x977131e8, 0xb3a9bd9e, 0x4b0fd9fe,
+    0x5aad2e0e, 0x1e367bf5, 0x112fc07f, 0x3e9eab94, 0xf97eba2a, 0xf6fa0d66, 0xf2e69de7, 0xfcc3c9d4,
+    0x4490cac0, 0x650e4e38, 0x70c11b28, 0x796000b9, 0xd7e9c1f1, 0xdd594354, 0x5d5a213d, 0xcbc47d9b,
+    0x45b58016, 0x068e180f, 0x8fff7aa0, 0xc4882af7, 0xe6fbeb65, 0x6f11e7d0, 0x90f64895, 0xfb4ecb71,
+    0x887a696e, 0xf96d9b43, 0x59df88fd, 0x4eb0ef44, 0x0c1dd472, 0x6242657c, 0x06a5b951, 0xa16d5e98,
+    0x56c7407e, 0x3700c358, 0x9f769242, 0xa3982a5c, 0xa8be0954, 0x9a241faf, 0x156ce87d, 0xcb511c0d,
+    0x0dd37eb4, 0x84ef8da9, 0x61e54428, 0x3b68b9e3, 0x2cfbcdc4, 0xa8bd5f92, 0x0c55c8fb, 0x24aafb9d,
+    0xa65a19cc, 0xddb177de, 0xf24aad45, 0x9e3c09b9, 0x5ba6942f, 0x4aa17177, 0x427b394b, 0x65609228,
+    0x4f7b94cd, 0xc1b51e4f, 0x96864a7e, 0x049e9b56, 0xaf1d6370, 0x877ff89f, 0xfc15e467, 0x599867fb,
+    0xc2c5ea7f, 0x897ab7cb, 0xc6cb1d77, 0x4fd34521, 0x71d110ee, 0xd3e68357, 0x15058d1b, 0xed69cc23,
+    0xee61c90b, 0xb98d3286, 0x387fe0ae, 0xa6c3ef21, 0xc9b25b70, 0x32952708, 0x778fbaa8, 0x462cccfc,
+    0x1574d231, 0x94e69e08, 0x2fa10653, 0xada292c0, 0xd965c30e, 0xfcf52a0f, 0xa3ae7709, 0x02861904,
+    0xa902165b, 0x808c966a, 0x9c88352e, 0xe537794c, 0x78db868a, 0x1dcca74e, 0x01064449, 0x145843ac,
+    0x5ff5ddb2, 0x96162026, 0xe96a0c66, 0xd7bd0479, 0xf0563e1d, 0xb3e5b77b, 0xaa0001ca, 0x6aa53f73,
+    0xcf016e89, 0x6ec3847b, 0x00319c19, 0x685257be, 0x53dcd48c, 0x9cd9f577, 0x89d375c3, 0xcf762b40,
+    0x4e5efa78, 0x2ca57be7, 0xf9da1183, 0x3593909b, 0xdd8fb64b, 0xec7973c7, 0x8431f199, 0xe668a82c,
+    0x59b6d7de, 0xd6d08272, 0x3c095cfd, 0x6cf917fb, 0x96af6ca9, 0xe2ca2498, 0x29c548e1, 0x20237a55,
+    0x082fc861, 0x2b10d688, 0x3a2ad5d9, 0xa6778582, 0xab0ee590, 0xda9f0c0a, 0xf4a1e524, 0x214c85c7,
+    0xab067909, 0xe0329130, 0xfa108e03, 0x32539d54, 0x805fde7e, 0xab76d99e, 0x442c95e4, 0xf6f35b0a,
+    0x99eb85d5, 0x3de1c39d, 0xe9f77a6c, 0x5403b100, 0xf47e1ec2, 0xd79b5188, 0xd5ad2959, 0x34d94a91,
+    0xeb299181, 0x92654c4c, 0x973e1274, 0x11111217, 0x60234ea4, 0xb7d27a58, 0x2b713cd2, 0x7305d6e3,
+    0xf02d0902, 0x281bc2ad, 0x1b5abcdd, 0x010bfcac, 0x5908ca29, 0xef23d075, 0x48e3f444, 0x3a6c14b8,
+    0x61ca294d, 0xd23887cb, 0xb81cfb89, 0xcda080b3, 0xf496a101, 0x060155b8, 0xf7c8dad5, 0x2a21a8db,
+    0x45ca1d8b, 0x01b0e49a, 0xcd43e055, 0x58f190c3, 0x50d21693, 0x17883a62, 0xf98b1daa, 0xaf8b4ee5,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000003291009114642412084309938365114701009965471731267159726697218048 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b3a, 0xd4e91b69,
+    0x00000000,
+    0xdc00972c, 0x1e4fdfd7, 0x25a14599, 0x760e9c9c, 0xfb195a6d, 0xe753e458, 0xb38821a1, 0xe3c3bbc9,
+    0xc4d27e5c, 0x00fe3000, 0x0ec441c1, 0x7c0a7c7f, 0x572ed016, 0x983c4871, 0x40d1a201, 0xfcd9db77,
+    0xceeceefc, 0x425f3878, 0x69f61581, 0x37cdda75, 0x8a42eacf, 0x2bdc2d3b, 0xca2f6f73, 0x752f544b,
+    0x5d9f514f, 0x462a8a5a, 0xa22c3da1, 0x9e5c04c1, 0x15ac531e, 0x0288b5e7, 0x15db2776, 0xe2db8ec3,
+    0x7f44007f, 0x65c20986, 0x6e196aa2, 0x3822dae0, 0x1fd6e830, 0x3d51f00b, 0x8ecd7cb6, 0xf87666e7,
+    0xdfdc8260, 0x6f0fd41e, 0x7f23c610, 0xda00b459, 0x22600e5a, 0x3b7e0cec, 0x7b85caae, 0x37280414,
+    0xb8d220da, 0x564e5010, 0xddfaa6da, 0xf3422053, 0x9aee2561, 0x619fc57b, 0x8af23a16, 0x652df83d,
+    0xc1498cb4, 0x1d776861, 0xded9415b, 0x3071db1c, 0x746f07ea, 0x0dd7a3d5, 0xa5b18125, 0x301fb4b2,
+    0x87853fd5, 0x7bfa2560, 0x88b9d55f, 0x788ae0f9, 0xf227715e, 0xb93ac52d, 0x45ca6828, 0x98b5e75b,
+    0x6b18e477, 0x1096b53f, 0x80df4f57, 0xf32f9430, 0x3c14d66b, 0xddb53215, 0xb35c69c6, 0x2759a197,
+    0x06cabfd7, 0xdd5b8c61, 0xf87a8ab6, 0x1cccf50f, 0x545c54af, 0x9286dcba, 0xb7d358a2, 0x97eb3a2f,
+    0x0bdde027, 0x9ae76ecc, 0x654dfbb1, 0x6895d9a8, 0x88d21691, 0xdc0961b2, 0x1e9f2465, 0x0496ee9b,
+    0x5ea8785d, 0xfa42080b, 0x0ee18bff, 0x1f82ac79, 0xbcac74e8, 0x45cdf251, 0x12a50f8d, 0xf08c3ca9,
+    0xbe8b6a1c, 0xe22fcef8, 0xded70cae, 0x283a641c, 0xf7179ed8, 0x239873bc, 0x21ef78c7, 0x8d26f8bc,
+    0xb67e16ed, 0x9906dee9, 0x24befd0e, 0xd5f47c00, 0xb653332a, 0x2b07ac0e, 0x48243203, 0x5fbe5eb0,
+    0x705fad79, 0x37ae4420, 0x00022a0e, 0x67752b1c, 0xd22d1c1e, 0x488f55ca, 0x89654638, 0x2c90f123,
+    0xf2712e78, 0x5d7dfd1a, 0x73b00e72, 0xe3ea4e5d, 0x61ee7b09, 0x33be7b74, 0x59f355fd, 0x0816793e,
+    0xfd99482e, 0x7615b4a1, 0x6790f41a, 0x9c469b41, 0xa98e2d32, 0x0ac061ef, 0xc3a4f79e, 0x544a5aae,
+    0xc3168797, 0xcd673f07, 0xc4666d7c, 0x40ec8120, 0xb8ff8db8, 0x095d7d6f, 0x046310a5, 0xf0fbe6b4,
+    0x2916db17, 0x0442cc7e, 0xcf78eb9e, 0xc0ae08a8, 0x9b39ede9, 0x9e5ed80f, 0xcc32c4af, 0x67d71bad,
+    0xc1f83d79, 0x51627e3e, 0x3c3dfdec, 0x492dea23, 0x84378a34, 0xad152515, 0xfdcf9714, 0x4ccbd057,
+    0xc055f60b, 0x6fe95ee2, 0xe7af0ef4, 0x8b8cb71a, 0x65ecfe20, 0xbcf027de, 0xd67e5b4b, 0xa9534ab2,
+    0x93885c64, 0x6f192211, 0xc6b0937b, 0x6dc3ac85, 0xe0f7d4e9, 0xaaaf1497, 0x1b9cd376, 0x464ddbcf,
+    0xc3d72494, 0x89e37fce, 0x9688a066, 0x3480fdc0, 0x16f20907, 0x01aeaf95, 0x2a7c6a78, 0x14b68352,
+    0x39067b0a, 0xd14d4895, 0x597d4f35, 0xc67f548a, 0x25ad2193, 0xe4e009f0, 0xf3c5d5c4, 0x475c8f8a,
+    0x683ebb1a, 0x5658e144, 0xfda96611, 0xe57a852e, 0xd0e39e47, 0x6329a53a, 0x8a441c8b, 0xd6a9f7e1,
+    0x9044ccbd, 0xa28815d1, 0xe8eec55b, 0x174f51eb, 0x5b4423ee, 0x32675d6f, 0x05df00c4, 0x63356f10,
+    0x61472335, 0x7b3394a7, 0x3cf0034e, 0xb9b0ba20, 0x6e00fd42, 0xeba4e281, 0x1f8305af, 0xa873e76e,
+    0x435b4227, 0xe55b7eda, 0xf451294a, 0xd59b738d, 0x627bb888, 0x4719db6d, 0x19ee1b0a, 0xfb89a678,
+    0xcc347a5d, 0x4f235ded, 0x49687956, 0xbd7fc2b3, 0xa05455f0, 0xd4dfb746, 0xc2d8da50, 0xdbed2186,
+    0x9bfcedf0, 0x9975fc54, 0x2b4ffad7, 0xfab7eae2, 0xe28d78f8, 0xd2e89858, 0x7158c416, 0x08114dc7,
+    0x5065ed70, 0xa5d00ec5, 0x54c35146, 0xff7fb489, 0x166b701e, 0xc95dc440, 0x0db53b94, 0xc2dc4db3,
+    0x62c9344a, 0xa68e10ef, 0x84c13551, 0x4f86c9e6, 0x93f412aa, 0x1a7ce22f, 0x51c7dc46, 0x2705740b,
+    0xc1b2b0d6, 0xe88f4958, 0x875a3ce8, 0x097fd7c6, 0x97a43471, 0x513ba6ad, 0x07f2aa84, 0x0bdb30d1,
+    0x8b436254, 0x748cc697, 0x00d7de80, 0xe401cecc, 0x05c6ac48, 0x5ffdec54, 0x3eb110f5, 0x36ac0b3a,
+    0x6da6122c, 0xfd32d9a8, 0x156f53d2, 0xc8b4ee88, 0x6c7b9df3, 0x6b824f37, 0xd544612d, 0xdb4dd4f1,
+    0x80dec70a, 0x2c41f45c, 0xdc11d1f0, 0xc02726b4, 0x70d0e821, 0xddf4811b, 0xdec58105, 0x9c4b9580,
+    0x80781a79, 0x5a2a87c8, 0x225980a8, 0xf6581047, 0x376b85b7, 0x4fb9d031, 0x073bd9c1, 0xdadbbd5a,
+    0xca3c969f, 0xdd4ae09a, 0x8d4500b4, 0x41bc2669, 0x6248ecae, 0x07bc6bf3, 0x25d8fe8c, 0xec8885d8,
+    0x667efe48, 0x7007d55b, 0x28054328, 0xa35612aa, 0x69cc5e53, 0xeebc7729, 0x9fb488e4, 0xe8611b0d,
+    0x143b0d55, 0x69b83873, 0x5207a288, 0x75e4269a, 0x6492fce9, 0x97ac790d, 0x80f74326, 0xb361b5e0,
+    0xd49d9d0d, 0x179f8a68, 0x995e7fa8, 0xeee6d7f8, 0x14cc7e4e, 0x79ae27a5, 0xea258158, 0x857b2900,
+    0x5b36de31, 0x1d6f6bf4, 0x8dd57ba7, 0xdbc540fc, 0x3a11ba02, 0x891d2690, 0x7a5d5773, 0x99f88680,
+    0xddd5035d, 0xe7ac0e73, 0x91a60f55, 0x1ab23529, 0xa6fc1209, 0xd3766dc5, 0xa8d63d9b, 0xd6c5509e,
+    0x0c97c2f1, 0x17b0ac52, 0x3ef148ae, 0xaa2c4c09, 0xa85fac60, 0x6b95d0d5, 0x11543597, 0xc3bd237a,
+    0x4af4a185, 0xe004a2f7, 0x94168b98, 0xb5899610, 0x17ad2871, 0x54f61833, 0xae41b196, 0x099c87ed,
+    0xb244a91e, 0x98417251, 0x7e4128c6, 0xe8c79b65, 0x217d0620, 0x81cc8e3f, 0xa86b7223, 0xf5558e06,
+    0xe3ccfd53, 0x45ac7429, 0x99ed88f0, 0x3975c12b, 0x6e8f21c2, 0xae950660, 0x7695a7ea, 0x4ef115d0,
+    0x48c053eb, 0xa720a6b2, 0x5f4783d1, 0xc147f292, 0xe18ebc00, 0x6e38cee8, 0xd189e613, 0x91f2389d,
+    0x597e765a, 0x82e1fa7a, 0x05643fcd, 0x380da987, 0x6b7f2f87, 0x68748a91, 0x9b83c9c2, 0x74caeecf,
+    0x5fa51108, 0x34c906c2, 0xc4da5859, 0x3299736d, 0x813229e8, 0xd18dcce3, 0xb2ad9be4, 0x5aefb159,
+    0x9b90b252, 0xc6b508d4, 0x28d6da6f, 0x31f39d6a, 0x53ab5e2f, 0x4a5ebca2, 0x41031ad5, 0x4d81fc23,
+    0x2f630eeb, 0x97be02f6, 0x3eca3d56, 0xd46e028d, 0xf354d048, 0x8dc0bd2d, 0x5207ceb4, 0xc2989239,
+    0x50421762, 0x70a71c54, 0xe0fcf111, 0xe5b95e8b, 0xdf7a483f, 0x2ffac2ce, 0x54dfc694, 0x92d58e6d,
+    0xe06af269, 0x11df2383, 0x6ad2eb98, 0xc524d857, 0xde35b12e, 0x74b98833, 0x14e9a34c, 0x4039d6c7,
+    0x739997fb, 0xb3253fd3, 0x7405720d, 0x4ac046f4, 0xf3f230d3, 0x6bbf3cb2, 0xf734063e, 0x5a521274,
+    0xde5cf4c0, 0x3613609a, 0x4ae7396c, 0x2d909e2a, 0xcb1bb428, 0x3a32551a, 0x55f9f2f1, 0xe33d892b,
+    0x67321829, 0x25f4c511, 0x377d71e4, 0x302c80c4, 0xfccc990a, 0xcd5472bd, 0x44d00e4c, 0x0421644a,
+    0x613c5afc, 0xf5770e3b, 0x4ceaf901, 0xb6847daa, 0xb1554269, 0x16ecfc02, 0xba3231aa, 0x2637c976,
+    0xf2c3d4b3, 0x350cb4e9, 0xe0777d9c, 0x366f8b9f, 0xe76ad6a0, 0x8129d0ff, 0x4a5af0b9, 0xfbb0b4b7,
+    0x0c3e41b6, 0x2e4581a8, 0xb9868253, 0xa456588d, 0xfabdb2b9, 0x45317cec, 0xea00bc29, 0xc1bcbaa1,
+    0x2e4130ba, 0x58b905b7, 0xe598b4ce, 0x7f33a7e0, 0x65ac0823, 0xdb4692d0, 0x1bed8d6f, 0x71a64dcc,
+    0xfe994636, 0xca7a6dbf, 0x0dafadd5, 0xb0f3df0c, 0x5c0811f2, 0x4de5d914, 0xa261827b, 0x2696b4fd,
+    0x39194c7a, 0x7aeaf75b, 0xf6fb7c8a, 0x7defc766, 0x4be21ba6, 0xd48d9ac2, 0xec5d9cd4, 0xa2cbb169,
+    0x9965bab1, 0xe1176e72, 0x873b7435, 0x4154c540, 0x98856ada, 0x2322555d, 0x96aa5345, 0xd5a07868,
+    0x62d25c04, 0x87c0b9e1, 0x4bf157f7, 0xaa0820f7, 0xe28f4eaa, 0x6bfe80fa, 0x5a0abd55, 0x4f0183e9,
+    0x88baa460, 0x7c3c7e85, 0x5fce880a, 0x53180552, 0xbf3ebb00, 0xb8f98b7e, 0x238512d5, 0x15f9e843,
+    0xf1499ad6, 0x8903ad74, 0x89a18350, 0xd0c64e97, 0xdb27ffef, 0xf3c4d33e, 0x324b376e, 0xd3045f4a,
+    0x1e18dc11, 0xbd6f283b, 0x38caa804, 0x3c1cec48, 0xe52c5d2b, 0xce7f76b0, 0x9621ba55, 0xdf0b5e6e,
+    0xf318e8ec, 0xdef53add, 0xbd884ee0, 0x81de9197, 0x9b0727e9, 0x0b1a53f5, 0x6202742d, 0x9ea5886f,
+    0x968961b2, 0x9bd0d00d, 0xfe43c005, 0x7f888748, 0x9a24af94, 0x6baa3d34, 0x6970c96e, 0xc797fb74,
+    0x4828c060, 0xad97fd8d, 0x96ca7904, 0x02194060, 0xe7e71e37, 0xfe513ec4, 0x0d2bbdfa, 0x30ea7dd2,
+    0x684ba119, 0xdf0862d9, 0x553962fd, 0xddf4f408, 0x6ef951a1, 0xb725710a, 0x003db831, 0xd9ecb379,
+    0xf4f2f7eb, 0x41a22525, 0xc567ce90, 0x57ab7f4a, 0x5f5468e4, 0xdbd4a18a, 0x8eb1acce, 0xfcb46892,
+    0xb4229b66, 0xf94d270b, 0xb4137171, 0xfa9f3672, 0xc0da7e3e, 0xb9f30acb, 0x339fbda5, 0x8993b858,
+    0x62f8437c, 0x45fbdd1e, 0xebf3426e, 0x99d1f87a, 0xa37d1113, 0x0401711f, 0x1d2562a8, 0xfc1d739a,
+    0x301a494c, 0xc11c3dd6, 0x96666c1c, 0x7946bca4, 0x943ea73e, 0xeb3229d0, 0x9a970ceb, 0x28edf20e,
+    0x8a1131a5, 0x87d49b72, 0x4823ac8a, 0x91c0d959, 0x314aa4bb, 0x6fad5cf5, 0x33eedb85, 0xee34563c,
+    0x1e8665bf, 0x150fe70a, 0x13f5372c, 0x3e1776fe, 0xe7473f96, 0x654640b7, 0x3ce83899, 0x88b0b9d7,
+    0xb4d95ce2, 0x6a0af44b, 0xfb385211, 0xbbee0bba, 0xe93b8643, 0x2923c7fe, 0xb843f1a0, 0xfc209fe7,
+    0xb2c6bd64, 0xd646a273, 0x8d16e96b, 0x393499cb, 0x41a2aa30, 0x59b34d3a, 0xdf3498d0, 0x4a1a0272,
+    0xba5b056c, 0x99a38990, 0x96e9746f, 0x255482f5, 0x1f0c8c85, 0xa3321792, 0x06740119, 0xc7ed4cde,
+    0xd766eeb2, 0x6566f568, 0xbbfe6865, 0x1552f0f2, 0x1281d711, 0x0cb28804, 0x27405b10, 0x1fd84652,
+    0x28052cc4, 0x6d5dc538, 0x42822870, 0xdecd0fe8, 0x87b112d3, 0x1d3503f5, 0x6578db2b, 0x325d134e,
+    0xeb2306af, 0x602bbd58, 0xc9fb6cd5, 0x71d7ec12, 0x8075d53f, 0x52d2759d, 0xd2e41e88, 0xfe1a9ed8,
+    0xfae0766b, 0x6b824c92, 0xf6ee5f06, 0x9e1308ea, 0x2e45e563, 0x632e33da, 0x5eba7a85, 0x30ee8643,
+    0x22412b53, 0x978b0d76, 0x8f2b2231, 0xd8e38913, 0x7369dab9, 0x1b43792a, 0xf82a7e1e, 0xabeffbc3,
+    0x247a966a, 0x6c5a140e, 0x3006c6cb, 0xd1eaec2b, 0xdf58df70, 0x70a6e10e, 0xda6d9b45, 0x0a543ba8,
+    0x1bc36000, 0xaab70d3d, 0x470b463f, 0x147d7a80, 0x65f84f36, 0x8add4ffa, 0x3d61963b, 0x7fb7f7b0,
+    0x56327ae6, 0x10f09aef, 0x22865116, 0x0c9a0a8c, 0x0794b456, 0x4aea5797, 0x1c051cb3, 0x29d82f09,
+    0xa7d27059, 0xe7a11c5b, 0xbabeb735, 0xe9c36a37, 0xc86f8937, 0x331df1d8, 0x4e16e9ef, 0x9b4e4ab3,
+    0xcce976dd, 0x8926a8cc, 0x817c3a4c, 0x4cea1c54, 0x870cc199, 0xb099e378, 0xc1870d75, 0x101df5b0,
+    0x57437d61, 0x0f7d272b, 0x0cf2b34f, 0x50dca907, 0x4d1ce037, 0x2cbb7d3b, 0x28f7539e, 0x0aeeeb8e,
+    0x62abc366, 0x94b1ba93, 0xc1e3af3c, 0x3f933788, 0xc0e8070e, 0x8fec3ba1, 0xa2aa929c, 0xe3c02d10,
+    0xf2bac20f, 0x769f581d, 0x8a6f4301, 0x6444c989, 0xac2d4f4d, 0x6b5dde3e, 0xedeeaa39, 0xe26498e3,
+    0x96ec793b, 0x1829508e, 0x3804d396, 0x505a2d96, 0x6530022a, 0x8cda633a, 0x0e3f025f, 0x8a82d4cf,
+    0xad95b58d, 0xacd8cad6, 0x3394e95b, 0x469c3d62, 0x3be23b90, 0x272d9200, 0x6fa83e1f, 0xbe3e7791,
+    0x4f22afce, 0x786669ae, 0x7fd92519, 0x7e83ab81, 0x3af7c962, 0x466cac00, 0x6ff08987, 0x7530a8f1,
+    0x0aa80c25, 0x54cd3d5d, 0xd301863f, 0xde033af9, 0xa59f6f04, 0xf41edce1, 0xd091a2dd, 0x578e2223,
+    0x401de371, 0x08b884c6, 0x11804092, 0x4f3877a7, 0xf5c36764, 0x5bccf9c2, 0x7ea8e57c, 0xeee89986,
+    0x8dd6c39e, 0xf2dd11ba, 0x91c14ef7, 0x41be266e, 0x020889a7, 0xc03b5ad0, 0x40757deb, 0x8da921ff,
+    0xc749a540, 0xf928461d, 0x36bf1416, 0x73a608ae, 0x38bd0988, 0x0c97a10c, 0xeb5e4974, 0xb81eedae,
+    0x82e540db, 0xa49256aa, 0x2b0dd14e, 0x43ef2cbc, 0x86c77088, 0xe437437f, 0x37b435a5, 0xfa4654d4,
+    0x51b670db, 0x218b359f, 0xf0af9316, 0x51d3f834, 0xc8e61233, 0xa527628e, 0x3a59d20a, 0xe68d8a45,
+    0x21ca5ea4, 0x276af606, 0xc57d80fe, 0x0a835ad3, 0xcfbe25eb, 0xeb7f143a, 0xf9658cb2, 0x07670f2f,
+    0xd95d34a7, 0x1b76f8f4, 0xc25795a7, 0x2c38ac73, 0xec85985d, 0x95f23dce, 0x71643c2b, 0xf278163a,
+    0xd32a51a6, 0xf77cbc88, 0x2ccdc18b, 0xb5d4319c, 0xe6e9136a, 0x8581ff91, 0x7d158a3f, 0xc33ecded,
+    0xee7142ab, 0x6a7bb393, 0xe604ba47, 0x90645489, 0xc6b45f17, 0x244922a1, 0x6949cd32, 0x46545c59,
+    0x1cc4dffd, 0xe9530a9f, 0xdb76f629, 0x43a9aca4, 0xac290f8c, 0x313f1a50, 0x83502f82, 0x8c811a71,
+    0xb235f24b, 0x8fc8017e, 0xfe4781c7, 0xf1f91741, 0x481b6f58, 0x45e828a9, 0xcb552f1a, 0xfb071b09,
+    0x1a896eda, 0x8f016be6, 0xe3ab86fd, 0x66dc68c6, 0x448145d8, 0x94b7f6d1, 0xbcbc7191, 0x34374e27,
+    0xf952db36, 0x4cd5e432, 0x51245d78, 0x6640a7ef, 0x14664214, 0xdfdc258d, 0x855d69ff, 0xa34c1e77,
+    0x8d7dd0cd, 0xd1d5e3ce, 0x30f127c5, 0xd0c3bf3d, 0x4c583825, 0x9bd1224f, 0x292ae2b5, 0x38c4db05,
+    0x30ed849e, 0x1c3a8e2a, 0xa545fadf, 0xf1cd9291, 0x9c34b35d, 0xa09a2ffe, 0x2017ed79, 0x45be484a,
+    0xd24e2bc5, 0x9d071f4f, 0x75ad717b, 0x2c35681c, 0xa122eb22, 0xb65cfb56, 0x36f6c233, 0x24a780a1,
+    0x4aa99b26, 0xd9642c76, 0xcf7296ae, 0x7684c694, 0x3e718afc, 0x5e1fda91, 0xc438398b, 0xf125476c,
+    0x3fcacfa1, 0x8ab7a140, 0x09b39630, 0x9dae5db2, 0x7b533c18, 0x57494399, 0x17aca2dd, 0x049d9b83,
+    0x29bb99c4, 0xca583eaf, 0xacf2b0e4, 0x2607a478, 0xd0743ef8, 0xc312ee56, 0x8ea761bd, 0x615f637e,
+    0x81d0ab42, 0xfd68d900, 0x59a92f3a, 0x8678a1d2, 0xeb549812, 0x10bc6284, 0x4dbd2c3f, 0xa944db16,
+    0x59389b7c, 0xa63ca6c6, 0x5eaa6e4c, 0x47a62550, 0x962c4569, 0x3c4751bf, 0x530bf062, 0xda552f4f,
+    0xcb5a887f, 0xa6b07f67, 0xc407050f, 0x662c1e5c, 0x672cb57d, 0x09ab2c32, 0x5bc16f75, 0x4d15eca4,
+    0x0439f5e2, 0x7e9f8f6f, 0xf1ca1d0c, 0x6d4f9736, 0xa03eeb2b, 0xaa75076d, 0xf81b0c0e, 0x378cb576,
+    0xfb3598f7, 0x6595292c, 0x2bc5e133, 0xbe8f252f, 0xf41d769a, 0xb1c194bb, 0x9d934a56, 0x9959cf47,
+    0x07c2bf64, 0x0a59ded2, 0x2064bf7e, 0x969147a0, 0x4fce0622, 0x276c47f2, 0x7b5455ce, 0x4f39c896,
+    0x6983ea8c, 0x1002143f, 0x3f1a123e, 0x8447b6b8, 0xbfcabffc, 0xaa053bbf, 0xf4fe35f4, 0xedcb71dc,
+    0x64367106, 0x59d96005, 0xf8e08144, 0x36761d77, 0x2e225417, 0xf3653c62, 0xbdad25ea, 0x873a3270,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000001645504557321206042154969182557350504982735865633579863348609024 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9d, 0x6a748db4,
+    0x00000000,
+    0xa7cf6f85, 0xc2e0f7bc, 0x6184278d, 0xae0db049, 0xd66715e3, 0x6f48ac64, 0x5f523e9a, 0x803c0ca9,
+    0x5ec562aa, 0x023221e2, 0x4f6c4571, 0x3aa86ff0, 0x18b84f9e, 0xbb6611a4, 0xe35fddc9, 0x74eab5f1,
+    0x235c0af3, 0xcfa6517f, 0xd03db51c, 0x920d36e8, 0xa179d89e, 0xc2f36729, 0x9618b9bf, 0x4f5d763c,
+    0xe87ece3e, 0x21caa6e2, 0x59f50f5d, 0x9200091e, 0x43c8fbf8, 0x463bc816, 0xe2fe7426, 0x7627a2a5,
+    0xaab1621c, 0x4770c378, 0x125fa326, 0x2f90e12c, 0xedd44db8, 0x527ea8d4, 0x847eddba, 0x3fd1226d,
+    0xf8b97ed0, 0x227143a5, 0x207f848a, 0x67b404c5, 0x455bb752, 0x54fdd7d2, 0x7356069d, 0xc27a4936,
+    0x49d1b4e5, 0x18b24263, 0x273afbf0, 0x3ae81711, 0x4e2d6d5a, 0xe7e236bf, 0x9272dd10, 0x495078d2,
+    0x28392289, 0x4203b7c4, 0xae8d65a3, 0x3342d52c, 0x358e0884, 0x33c456e0, 0xf93fe869, 0xe936d2dc,
+    0xb9028740, 0x0213e5b3, 0x6bb53882, 0x2af3f0e2, 0x4b8ddcdd, 0x5bfa169b, 0xd3e58721, 0x2208adb6,
+    0x8e1d0444, 0x3ec25d87, 0x8c377786, 0x3d2a9b0f, 0x9948fbf9, 0x9b5654e8, 0x91dc8d1d, 0xa185283a,
+    0x20149e73, 0x3a81e68b, 0x7182632d, 0x3b807d26, 0xfb364f81, 0xb9922472, 0xa4f9ff2b, 0xabf9643a,
+    0x6224972a, 0x6e6ca5a8, 0x1b547614, 0x68dc8310, 0x9a975acc, 0xae095c58, 0x8027edaf, 0x8ecad6dc,
+    0x31e941b3, 0xa3b8b6d2, 0x5ae93ae1, 0xccc17cae, 0xa950b9c3, 0xf7479ad5, 0x1e51d612, 0x1389d414,
+    0x42e5dfbe, 0xf8633348, 0x57d4243f, 0x9283cc7a, 0x5f01b498, 0xe929f3e6, 0x39c23bdf, 0x8bd65a32,
+    0x2cd4707f, 0xd4b5536b, 0xec604008, 0xd28673dc, 0x983c8c1b, 0xa9948d19, 0xe0ff6cbf, 0x6f28ce0b,
+    0x60af5818, 0x5f9b8dc5, 0x1e5505a6, 0xebe0a13d, 0x7257d2ee, 0x2ce0e1c7, 0x95dd853c, 0xdddf5359,
+    0x5194875e, 0x3e649f0c, 0x38280848, 0xf9d75575, 0xa0e88118, 0xf5ff7b7f, 0x9eef4979, 0x3b586ef8,
+    0xdbd76f17, 0x7dca5c8e, 0xf2236086, 0xfbf26bc0, 0xf5c23dae, 0xa7bc3bda, 0x9550f3c2, 0x2e10059a,
+    0x564f0e6a, 0xbecd385a, 0x320c1afc, 0x7ba18f31, 0x7a65438b, 0x3d76ad55, 0x0c1cdf4b, 0x4ad994d7,
+    0xc7f521f0, 0xa6639d29, 0x235e042d, 0x1da5e1d0, 0xdfc63896, 0x9c8b9aa5, 0x0970978c, 0x9785b19c,
+    0x353812c3, 0xe39eec27, 0x3491db4b, 0xd4c352ef, 0xead27d31, 0xbc64663b, 0xba7d42fa, 0x098fc519,
+    0xf99d3d6c, 0xcde89da9, 0x3f5d12e2, 0x5b273421, 0x1e448cfa, 0x30aafa32, 0x21dc4028, 0x39b1d416,
+    0x72407257, 0xe7e3634e, 0x6b97db79, 0x918dc1f6, 0xe58f435b, 0x66942584, 0xffe64438, 0xdeec5011,
+    0xcafc9ebb, 0xb70d8166, 0xa8c79e05, 0x0a813258, 0xf69ff601, 0x4f02335d, 0xb63d9e9f, 0x441e87e9,
+    0x0ecf29b6, 0xaa110046, 0x57c5f297, 0x0669fa1c, 0x58ffd826, 0xb1b6f827, 0x47b7537a, 0xd9621ada,
+    0x7c3cd022, 0xdb13029d, 0x26df7acf, 0x1f007ae9, 0xf79ce4e6, 0x1d8b91ff, 0x31906838, 0x9bdaeefd,
+    0x3baca519, 0x64f74a27, 0x0526f497, 0xe512d7ec, 0x7a3f3fd8, 0x8cd9a980, 0xd2db3f50, 0xe500ca34,
+    0x339fecfe, 0xf652c1c2, 0x6bc15e24, 0xbcc184d2, 0x08fdc3cd, 0x226d7a4c, 0xf195c3cd, 0xd77ca45e,
+    0x13b58f8a, 0x2c5f490d, 0xcb574641, 0x6842899f, 0x9b46bcd3, 0xc7dc1500, 0x9d3720f4, 0xce125457,
+    0xac223219, 0x3fb734bd, 0x1d6c2c2a, 0x8c981a6f, 0x0b42ff0e, 0xb72b8ff1, 0xa8a7287c, 0x79f6e205,
+    0x8a5dd9bc, 0x78b211c1, 0xd03445ff, 0xb3a7cf07, 0x7d95188f, 0x7b6d564c, 0xbc9b986b, 0x322156ee,
+    0x23c04067, 0x3ab3a408, 0x0726c45a, 0xc152126b, 0xc9aee769, 0x2d685f14, 0xc58ecb10, 0x1017f18f,
+    0xd38e36ee, 0xe2e2069c, 0x4056dc9d, 0xf7773ed2, 0xb16610a0, 0x35c946c4, 0xe65d824b, 0x1181187d,
+    0xb53e1f0c, 0x599b3448, 0x539b3dc5, 0x913848a1, 0xef949fa5, 0x4193542a, 0x51eb0ec7, 0x6fced1e1,
+    0x149d53ca, 0x82d03ba9, 0x55a4edd1, 0xf70bbfcf, 0xb925afe9, 0x03c97463, 0x1fc4a74e, 0xc5778af3,
+    0x997734ad, 0x0bba615d, 0x3c6dbc6b, 0xaf7ed3bc, 0x15d0b9be, 0x08fd8dc9, 0x7eb0e627, 0x56777136,
+    0x7ec5aa7b, 0x28561e7f, 0x6573f313, 0x4d8b6f37, 0x6dbaacbe, 0x6d801091, 0x474c04f5, 0xc6d30c7d,
+    0x9aab0cf2, 0x944211bc, 0xb13e7aec, 0xb55c5851, 0xffac2b21, 0x51d72277, 0xa7da696a, 0x0e670577,
+    0x10cbac4d, 0xae57ab77, 0xedddd365, 0xbf7cc438, 0x0ae8f8e7, 0x2df9aa2b, 0x77c49871, 0xd238e0db,
+    0xfddb8a83, 0x238dfbd0, 0x8be1f84c, 0x73acde69, 0xda58b0bd, 0x52e21bc8, 0x36f845a9, 0x1e9c0410,
+    0x283b13db, 0xdabd5e11, 0x9f3abda6, 0xbf0309e6, 0x500d4079, 0x3cd09315, 0xa33a3570, 0x6d5232aa,
+    0xd1fc2b62, 0x53e4aab7, 0x056b4171, 0x0c72ab53, 0xde38d923, 0x2420513e, 0x88ec3f5a, 0xe2a11d54,
+    0x1ef50d90, 0xa0d7bcf9, 0xb09ce89a, 0xb3d7465a, 0xa5c2d29e, 0xd007719b, 0x9d36e54a, 0xb5220f90,
+    0xbe771ebd, 0x9fb6735a, 0x364a3960, 0x395ec42a, 0xc20ad1a5, 0xafef2b46, 0x02cd8c15, 0x90718e96,
+    0xe5dcfd90, 0xf3a0efe5, 0x4f6ba40c, 0xe911e38b, 0xf56195c2, 0x249ad9e1, 0xa9d52a7b, 0x54c134d6,
+    0xee86d637, 0x00deaf23, 0x66af9155, 0xb817aa45, 0x7754983d, 0x8931c9f7, 0xd53cf3ad, 0xe77aa8be,
+    0x1de77073, 0xb87ae227, 0x05953c70, 0xc0cd7d94, 0x6d5f2f8a, 0xd0c602a9, 0xd72189c2, 0x67d0c39c,
+    0xef1d134f, 0xe257aae8, 0x62d6660c, 0x6f829b76, 0xf0adecb5, 0x00ca11ed, 0x06c75f62, 0x9ee607b9,
+    0xdb5f9768, 0xa293107f, 0xd3737f65, 0x5fae2b42, 0x775abbd1, 0x2530ffd5, 0x5a612994, 0xff520b04,
+    0x3e009814, 0x01296b38, 0x37319edc, 0x67838275, 0x5f717703, 0xaf55d376, 0x7cc9b9d9, 0x49a1938d,
+    0x48809993, 0x2127f2bd, 0x8ed0d58f, 0xc3f46a86, 0xcb450e25, 0xaf2bad58, 0xf129fcb2, 0x042e4854,
+    0xef1b7660, 0xcacff638, 0x9a76ff79, 0x5b0322cf, 0x766ad9a9, 0xd0750396, 0xb123df54, 0xf5ac8957,
+    0xc859be78, 0x9f45dc5d, 0x5d2e99a4, 0xb482002d, 0xf57b9bb6, 0xb9093e70, 0x39f92b9a, 0xa850a04e,
+    0x4f3aba74, 0x23189230, 0x487d5383, 0xd75f3bfe, 0x81eb637a, 0x2245349c, 0xf840313a, 0x6225bf5d,
+    0x9ed31a7d, 0x489bdd70, 0x820f1ab8, 0x8421ab63, 0x71916dca, 0xcc8718cc, 0xa225da60, 0x11e7ec7d,
+    0x1f0b814e, 0xaf5cb523, 0x65857515, 0x24a7a563, 0x0a002a77, 0x01f825fc, 0xfa670eee, 0x3dcd131a,
+    0xe031760e, 0x72153808, 0xff26d011, 0x6fb1f5f7, 0x6931c5b7, 0xfa3cda63, 0x9351f8ef, 0x06d4c106,
+    0x183e6639, 0x3723c6c5, 0xe5e58167, 0x4ac1ccb1, 0xbf973241, 0x46fc460d, 0x59b76b47, 0xd148773a,
+    0xb7d4c066, 0x52283e1b, 0x212a7eeb, 0xcab80c85, 0xa0fd2fe2, 0x6bcf2a7f, 0x41798172, 0x2bdb810d,
+    0xa771e091, 0x01dec8f9, 0x6f0193c3, 0x65266b65, 0x675663f6, 0xdf032fbb, 0xaf8d454b, 0xff818646,
+    0x29991385, 0x33afac50, 0xaedf0a57, 0x971b8326, 0xe7f24af1, 0x40c9e04c, 0xbd195bdb, 0x2fc2559e,
+    0x34e59bfd, 0x22747c3b, 0xd2180043, 0xd01300dc, 0x35584987, 0x6d37e063, 0x4c4603d1, 0xe94a9f4d,
+    0x167444d2, 0xb3ffafb2, 0xf6c7d7c5, 0xabf1521b, 0x952fd77f, 0xe26d8036, 0x261565d2, 0x4f75bdaa,
+    0xbacf8285, 0x5832cc7d, 0x4c4a8a41, 0x931fbd0f, 0xc0f90ca7, 0xd4066c5f, 0x24d50cec, 0x788a4823,
+    0x81a95e46, 0xa8e0eca4, 0x3672dfe8, 0x7460d5e4, 0xf45b85d0, 0xb89b3c4d, 0xaa61619a, 0x43dd6b36,
+    0x283021b5, 0xafec8295, 0x9f9c9ce1, 0x6f357b1e, 0x6e114c9e, 0x86a447ee, 0x4b8bc5eb, 0x4425beb2,
+    0x832a09e7, 0xdf7fd60e, 0x9232c418, 0x410662d8, 0x8619f62c, 0x619cee45, 0x0aad35c1, 0xbaca4f08,
+    0x8c3b2727, 0x7409f080, 0x7b9bf902, 0x41a52130, 0xab01a224, 0x60c98711, 0x5ebc67af, 0x146442e2,
+    0x85852cc4, 0x0726112b, 0x33d2d55e, 0x51bb4396, 0xdd931410, 0xebc932de, 0xa5307365, 0x32893290,
+    0x2a7eea71, 0x9b3ce684, 0xf35c0915, 0xa6b59a71, 0xd2e9cab6, 0x3426ce0d, 0x939ba6dc, 0x2278fb89,
+    0xe14ad33d, 0x11644554, 0x0a9e72cc, 0x9b123625, 0x279796b5, 0x8b75328f, 0x14c293ad, 0xaae5667b,
+    0x242f15e8, 0x4b621d2a, 0xc3d9fb57, 0x17316962, 0xc97054c7, 0xd1fff8ed, 0x2ced1642, 0x403e25ee,
+    0x2be37289, 0x9d16ca19, 0xc4fd528f, 0x2f0ea81c, 0xac46a2ba, 0xfd160326, 0x26411af6, 0xe97e8de9,
+    0xe37c8a0f, 0x128db2cf, 0x23a0f9c0, 0xa491c025, 0x88115343, 0x6623dca1, 0x834ca920, 0xed79d539,
+    0x9f8f5a7b, 0xa6d93d6b, 0xe0fd92fb, 0xf369905b, 0xda5554fe, 0x4b1ddfee, 0x6dbdc631, 0xd3cd1b1b,
+    0xbee9477d, 0xad765e80, 0xaa0f9048, 0x01ff30fa, 0x8e2df690, 0x4ebb7f7f, 0x90c142e9, 0x3c182337,
+    0xeecf2381, 0xf2af4905, 0xa3b6df2f, 0x3a940b87, 0xa2b80296, 0xcfda2dd8, 0x7380adda, 0x2986005b,
+    0x3aa271da, 0x542889f2, 0x0f083d17, 0x6ebbc6ff, 0x1804ffdf, 0xb645861e, 0x6760a411, 0x00b34bbf,
+    0x35ad2426, 0xe2812387, 0x9d9c2d75, 0x8f1bdf95, 0x95fab272, 0xa5700661, 0x27c016e9, 0x5438fd20,
+    0x42a4a749, 0x6a0a499b, 0x83d9058f, 0x00f7a4eb, 0x7beaed0f, 0xd8d5668d, 0xcf689646, 0x4974e93a,
+    0x3d07053d, 0xca0d8f80, 0x571fec67, 0x4ef1cfd6, 0x3e478177, 0x9ca5882c, 0xaa2f1abe, 0x19a834c5,
+    0x93981d83, 0x31ebc4dc, 0x7e51d3d0, 0xbac5bdaa, 0xf7da7740, 0x793a8c45, 0x8c633b31, 0x91ff8b25,
+    0x5b1a4d33, 0x4c7d2097, 0xcb4d0fdb, 0x201f61d2, 0x6279dfaf, 0x72c998fe, 0x2bc8f830, 0x451d0c87,
+    0x5fe0668b, 0x6159d8c3, 0x8825ed2c, 0x884ae80c, 0x5999641d, 0x5323ba0f, 0x22e13517, 0x074c4bac,
+    0x15aaff13, 0x48ad9498, 0xeb702501, 0xdfad3d2d, 0xf8d84b7d, 0xf50a345c, 0xb6164210, 0xbb389734,
+    0x099f2fba, 0x863883d0, 0x9c335774, 0x69192c44, 0x14ad9f7e, 0x1457a3e7, 0xbb5b921b, 0x81d64fb1,
+    0x06737f9c, 0xbd01831c, 0xc059d81c, 0x3c54e7a2, 0x2e56a96f, 0x71ec2fb6, 0x1007a7a0, 0x9f3c0d88,
+    0x2837eaf6, 0xd28d2b44, 0xb0842c47, 0xc4f73419, 0x4ad924b8, 0xb1d2c89f, 0x9d7898cd, 0x4ad19979,
+    0x0e2fefdb, 0x89045740, 0x726cbeef, 0x325eebdf, 0x1f198e02, 0xa17e1ad3, 0x00d3aee9, 0xf9d09d50,
+    0xe0d04371, 0x324c47ee, 0x5893390f, 0x5d37f054, 0x842a7112, 0x69d41e98, 0x372468d2, 0x968db7af,
+    0xa28a04a9, 0x82fd7a58, 0x8c46f696, 0x6b3e2e26, 0xf50e8dca, 0x3e939346, 0x85d8f7ab, 0xf9dcfffd,
+    0x7634ef91, 0xefc5bfd5, 0x6ad13130, 0x6c6c6961, 0x59cea87a, 0x4bf63c37, 0x8801b764, 0x1cf55215,
+    0x611e3a3d, 0x49196583, 0x48579646, 0xc7bbf267, 0x616f3360, 0x76c51d8e, 0x039f527f, 0x21403302,
+    0xe6214771, 0xc57f94f8, 0x2e7edf71, 0x01e70911, 0xfc3f38da, 0x7b49d5b2, 0x729ecac2, 0xddbd6a9a,
+    0xf5490a9a, 0x07eabb15, 0xb4adbfdd, 0x89a5c6bc, 0x1a1719f9, 0xa6d33856, 0xa89eebb0, 0xd5e50e89,
+    0x69029ad5, 0x0d9b4099, 0x040c6093, 0x2867f5d0, 0x1cd41d58, 0xc71ada6c, 0x83091036, 0xcdebc63e,
+    0xfcb3d703, 0xd089e78c, 0x336ad6b1, 0x23e66cc9, 0x440e4150, 0xf76cfb04, 0xedafde63, 0x62fc2fb7,
+    0xc0615d8c, 0x949bc9da, 0xd0437844, 0x96deb68e, 0x1c9a8639, 0xae772e8e, 0x51f9c049, 0x6faa99c6,
+    0x35f491f3, 0x1be6af68, 0xeab824f3, 0x03b4f838, 0x6b1cacbd, 0xc7ce3bce, 0x08b88440, 0x66fc45ec,
+    0x3301955e, 0x1fec3a2a, 0x8d266b83, 0x45f325a3, 0xfba529e4, 0x1f058dd7, 0x5efb2779, 0xec22d064,
+    0x12b9280f, 0xf31d8d85, 0x23b9da2d, 0x2ec04971, 0x8cde3e00, 0x7ff2b844, 0x238a845c, 0x7c38d8ae,
+    0xd67fa32b, 0x2287a782, 0x49b34fdf, 0x229dcc81, 0xdfda0f95, 0xf3eb26da, 0xbde59c49, 0x1b6c6cb3,
+    0xd01c65d9, 0x7667d9ac, 0x5e1d0947, 0xaf3c28fd, 0xa9ce1c47, 0xe76296ec, 0x0a291cf3, 0x6b42da36,
+    0x4373635c, 0x7fdebb59, 0xb20fdfd7, 0x62c30c22, 0x18812932, 0x703c1081, 0xfc726e4d, 0x4f16d840,
+    0xb4d551bf, 0x5510c4cf, 0xca27e1d7, 0x64e5524a, 0xe7abdd29, 0xde46ca04, 0x699b83b7, 0x5ba994cb,
+    0xc807361f, 0x15d362fc, 0x8466f05f, 0x9f034376, 0xd50b288d, 0xc2196dc3, 0xd0e2c2a0, 0xbb83a8e8,
+    0x8f84117f, 0x68f6d5ce, 0x592d3c0e, 0x4c964d68, 0x4b20b9b8, 0x18c9aef8, 0x3e81558c, 0xebc25dcb,
+    0x9dd6d5d3, 0x405d3f82, 0x6ad6d333, 0x7b59c172, 0xe3125a11, 0x83fc49c3, 0xc93a630a, 0x41aaea11,
+    0xf904c88e, 0x594a4414, 0x4e76d346, 0xab0f6327, 0x38dde35a, 0xfe1c1a7b, 0x51ba2db0, 0x31f98773,
+    0x46068cdb, 0x115e3671, 0x28a094e6, 0x36c697e1, 0xcc6e8c86, 0x810c7ffe, 0xe31cb84b, 0x40b49218,
+    0x27f9d49f, 0xb0a36b60, 0x09614922, 0x74673449, 0xa4cf8e86, 0x354c7107, 0xec3ce917, 0xf5b66466,
+    0x3cac9c42, 0x8de58acd, 0x34e5f9e1, 0x58ce7897, 0x70604316, 0xcc5c9afc, 0x96d011c0, 0xc2745228,
+    0x244f46e9, 0x7a05bb15, 0x7f6534a5, 0x037475a5, 0xf35a4b29, 0x58a42014, 0xf3c78a15, 0xa007da73,
+    0x0e36712e, 0x04719a0e, 0xe56fbd4c, 0xa873c3e6, 0xd96ae065, 0x74403349, 0x44908355, 0xc70c6fdc,
+    0xc1ba5696, 0xe3c97db4, 0xcfa421a6, 0x2abfebbc, 0x31259544, 0x8266b238, 0xca0ad132, 0x0a61e159,
+    0x88818f42, 0x803ae46c, 0x23b93641, 0xef781c77, 0x18242443, 0x06c937b1, 0x912dc477, 0x0b31bb06,
+    0xf7927584, 0x3fd326f3, 0xf4e543d5, 0xb0b95125, 0xa1919d23, 0x46f0b4fb, 0x014e9b69, 0xb5e47c94,
+    0x0eaaddcd, 0x87fa742a, 0x4a76e761, 0xbb352ba5, 0xc4d4607c, 0x598e9fe2, 0x9c713bce, 0xdbf27609,
+    0x081ab92d, 0x786e0310, 0x19d57197, 0x15895352, 0xcc3b058a, 0xe732d376, 0x021dc40c, 0x04eadd51,
+    0x5d61ad63, 0x8e8323da, 0x701e52ed, 0x8e839f31, 0x8a430b28, 0x00d4f5aa, 0xd82fc961, 0xfe9504c5,
+    0x75975123, 0x67789c0e, 0x5e458d30, 0x33531335, 0x2afa1f21, 0x3e649575, 0x21c138ea, 0xad2a1334,
+    0x5be2a9ce, 0x124843ae, 0x3da91fc9, 0x01332b62, 0x539e83bd, 0xa814a71d, 0x53adf887, 0xca30eadf,
+    0xc0b523fb, 0xc89daf51, 0xc04cadf1, 0x1dabaa1d, 0xa1247c6f, 0x32472721, 0x6fe23cc4, 0x06ece269,
+    0x457695ac, 0x6f4b662f, 0xf5337206, 0xcfa77529, 0xe5530ed2, 0x21a7a514, 0x0cf4a7ec, 0xe967d47c,
+    0xbe09d9da, 0x40f7c2c9, 0xe843b231, 0x73225c66, 0x00893e34, 0x39d6ac54, 0x2c03daa7, 0x085f1f13,
+    0xd0f4f26f, 0x8992885f, 0xf9de85b4, 0xb4b65440, 0x5d6e3da6, 0x6453262c, 0xae4462e9, 0xd00466b1,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000822752278660603021077484591278675252491367932816789931674304512 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8dece, 0xb53a46d9,
+    0x00000000,
+    0xcf443ea8, 0x730c41f3, 0xc256bbb6, 0xcd215dce, 0xa9b32948, 0x9dea146c, 0x67d601a9, 0xc80bf9b9,
+    0xe80597a1, 0xaba5b93c, 0x231397f8, 0x9a285374, 0xd5d45467, 0xd621f243, 0x956c2c22, 0xbf7e1b25,
+    0xab8133a7, 0x9625ef97, 0x93c3ee58, 0xcb0708c5, 0x76448b8b, 0x0708b2ac, 0x1ea70e33, 0x21252c76,
+    0x7f76da36, 0x70dc6b4e, 0xc90101f9, 0x8823b8e2, 0xd577323b, 0x7e45ce0a, 0x27506cd9, 0xb65d6295,
+    0x4dbf1720, 0xbd928764, 0x6d8408c8, 0xcfa9ed35, 0xc81cc0e7, 0xbcebe81b, 0x90005090, 0x4dbc36e6,
+    0xe103d3ed, 0x649d5d7d, 0x34e08690, 0xf0d2c31d, 0x75747ebb, 0xd60dc580, 0x30f4810a, 0x2f7e12ab,
+    0x851226dc, 0x81fd426b, 0x7a986ebe, 0x841edfe4, 0xa5376465, 0x286d2dfb, 0x20244775, 0xe7dde316,
+    0xb7c172c8, 0xa7a359b6, 0x4cd26841, 0x9aa3f90f, 0x57e41838, 0xd4bbac7a, 0x9f2d169c, 0x2dbfa571,
+    0x8c50e93b, 0xe0d33e23, 0x20c9a13d, 0x03f01f74, 0x8ae1f420, 0x9fff87c1, 0x755f12b8, 0x86db5f76,
+    0x89a1914d, 0x13d5a389, 0x264348db, 0x6767b7c1, 0xe51deaf2, 0x5b5a46ef, 0x655ce7e3, 0x87490277,
+    0xd57877fd, 0x4a44fbe9, 0x98369de9, 0xbe012051, 0x674b8b41, 0x0a7e46a4, 0xe4bca7f4, 0xeb43f8b3,
+    0xcc6fde8a, 0x7e169d23, 0x5b479d87, 0x3b1503d1, 0x1a715261, 0x99b6f6f7, 0xbc7b96c3, 0xfef64dc4,
+    0x9f748d47, 0x04b45cde, 0x96f431fb, 0xf39731c8, 0x691b608e, 0xf608e57e, 0xd09e3385, 0x53845d9b,
+    0x9e008dba, 0xa0aba521, 0x1128ef7a, 0x89618c90, 0x4c555fa0, 0x7128e70b, 0x3874c9ad, 0xf4485d6b,
+    0xbd5c6c3f, 0xa09059f9, 0x599323bb, 0x07c0fa04, 0x94fe8d10, 0x0f3b6b08, 0xfc6e8e49, 0xe31fbe4b,
+    0x5446553d, 0x7c452571, 0x8768f37a, 0x5e80586c, 0x0a91d7cd, 0xea517027, 0x2d61e836, 0x953182eb,
+    0x7d483c01, 0xa512d42e, 0xbeb5cb3a, 0xdb126a74, 0x80fd3556, 0x968e9bdb, 0x3c779ee4, 0x7348c2a6,
+    0x18b5b209, 0x19685c90, 0xa393591e, 0xce1021a7, 0x52e75c88, 0xad630eb1, 0x6b4ada2c, 0x23a601d2,
+    0x64bc879e, 0xe2527e7d, 0xd0ecb52a, 0x5ea694b1, 0x583adca6, 0xf43c8c2d, 0x75a61200, 0xf4764657,
+    0x0e6674e4, 0x9de865c3, 0x6cbed06c, 0xa9eed867, 0x9d993f1d, 0xcb4b1b09, 0x72d8a9cd, 0x568a1ebc,
+    0xa2c1c9d8, 0x6a7dd0ad, 0x3bfe41b7, 0x4d64755f, 0xa626278f, 0x91aa9ece, 0x4975e5e1, 0xdfad86d7,
+    0x1e409430, 0x43122b95, 0x2fc9a1d4, 0x15737cdb, 0x52d6c57e, 0x70da0e74, 0x39ceab73, 0x60587457,
+    0x058b8b0c, 0xbead28ef, 0x56c5e3e0, 0x04c63b0d, 0xc4d825d2, 0x836cce34, 0x108eb16f, 0x107318e9,
+    0xb5fe9ed1, 0x93c5e974, 0x60ed4fea, 0x536b2838, 0xaded67d8, 0x03464080, 0x8275cdc2, 0x82387e9a,
+    0x3cd014f7, 0x8f72da56, 0x31d8716d, 0xc9ae0d60, 0x235be863, 0x0e8a0556, 0xa2db6b2e, 0xfad2b4ed,
+    0xe5d98e65, 0x87850ea8, 0xbb547cc9, 0x906641d2, 0x0eddde5e, 0x9f90a5f6, 0x481909ac, 0x999dd9a1,
+    0x400474bd, 0x60a234ac, 0x72e45b8c, 0xfa923f91, 0xb2e1c412, 0x65879b8c, 0x61c08bef, 0xa4a63f69,
+    0x5eb1719a, 0x5ac67468, 0x8fa59818, 0x2ef23a9c, 0xcffd4833, 0xb1fecf54, 0x4ce47032, 0x995c2b08,
+    0x9463b0a3, 0x2de76e44, 0x81fd398c, 0xf334df44, 0x6647d45e, 0x44557845, 0x6a205896, 0x0314590f,
+    0x27c3eee8, 0x8e276231, 0x2f6d1aae, 0xdd8724d2, 0x127edd6a, 0xe5fb37ca, 0x1cdb821d, 0xaa54383b,
+    0xe478de79, 0xdfeaad55, 0x4185212b, 0x83cc452e, 0x205862c2, 0x94cfdad2, 0x6a686859, 0x2bc4b2d6,
+    0xef9c42e0, 0xfee65b34, 0x47cb10c3, 0xb7c9f374, 0xe646ebbf, 0xc1dd27cd, 0xdceef2b2, 0x1a86a965,
+    0x7dae7a64, 0xbbbff89c, 0x01b42dfd, 0x12aefe1d, 0x1f71df2d, 0xf3111c51, 0xae9cbd4c, 0x9784d50f,
+    0x2729b568, 0x77ea4ee3, 0x6e2f289d, 0x9aaaf349, 0x7a70215e, 0xb7ec1226, 0x3e89f45c, 0xff5a43df,
+    0x09ec4fa6, 0x2ed3eb7e, 0x295aba98, 0x5715bda7, 0x819ee508, 0xae4eaffb, 0x67a4ace7, 0x2a3429f8,
+    0xb3ec60f9, 0x86416c16, 0x554dc194, 0x24ed62a7, 0x466be165, 0xecf717f4, 0x84a40d37, 0x5bb647a9,
+    0x728a5b55, 0xbc48866a, 0xd1721867, 0x98c3f320, 0x069c7d0b, 0x5c6163b7, 0xc8174a50, 0x175d2ea8,
+    0xa5c7f974, 0xa6395145, 0x05a350cf, 0xd708621b, 0x57560341, 0x56fd6dbc, 0x8654d522, 0x06cbc82d,
+    0x005748d3, 0x65691edf, 0xe999390f, 0x309aef29, 0xf0a184f5, 0xdf33258a, 0x705255a2, 0x45e55d74,
+    0x4e560b29, 0x83f2fa7c, 0x3cc9543f, 0x2a0115ee, 0xcdc0481e, 0x56a79916, 0xf57775df, 0x920e6d5d,
+    0x7850f6c4, 0x2785a744, 0xad1a5edc, 0x82d2bc18, 0xf3d688b1, 0xe18e6674, 0x4d02e66b, 0x522a4173,
+    0x6dcfd0ef, 0x450919f2, 0x000e9036, 0x7d92dfb4, 0x368a393d, 0xa611e6fe, 0xdf3e32d1, 0x77fb96ce,
+    0x25b56134, 0x0c1745c0, 0xbd06db24, 0x96633fae, 0x8969851d, 0x61576e70, 0x96cfcf8f, 0xc7a080ff,
+    0x31aa0824, 0x1d4e0f31, 0xd2825c4d, 0x76ded836, 0x92af6dc8, 0x8b753791, 0x04d0d726, 0xc35778ca,
+    0x8a78a394, 0xb84a1fee, 0xc1172249, 0x8307ef6e, 0x8a620b8f, 0x25d687ae, 0xc1357800, 0x08dc0a65,
+    0xe53c83bb, 0x8382226c, 0xee2095ab, 0x60eb6401, 0xf054b40f, 0xc918bea2, 0xafee011b, 0xb1671bea,
+    0x15096ae1, 0x26946e52, 0x859eb884, 0x30e22c92, 0x7177459e, 0x13397e24, 0xd821ff28, 0x596ac8aa,
+    0x0cd32671, 0xcae787e8, 0x4f2d4159, 0xe2a60aa2, 0x326364c0, 0xb860445c, 0x3f732c3c, 0x5a1f8fdf,
+    0x8f8eea37, 0x708ba1dc, 0x5b25135e, 0x4bb6dd9a, 0xdc5f1b08, 0xe52062ee, 0x42db0b98, 0x9766b524,
+    0x1e3f60af, 0xe5d44b71, 0x5433c3db, 0xf2234db3, 0xdab3da33, 0xa4cd9780, 0xb65442e1, 0xf2845360,
+    0x25eebf10, 0x6f78a8eb, 0x16426921, 0x6b28e463, 0x29e5acbe, 0xd469c183, 0xaf360991, 0x97c7a479,
+    0x6461d812, 0x32ed5dc7, 0x7d3b81ff, 0xb670beaa, 0xd6214202, 0x063dcb46, 0xcac1a452, 0x38edf032,
+    0x2c01c554, 0x02fd9909, 0xef8826f9, 0x6127a15f, 0x3fc62f74, 0x1647cb48, 0xfe145768, 0xaf6df1ab,
+    0x09d15488, 0xa61a8b4c, 0x12002678, 0x93e8b870, 0xe2c3264b, 0x27993d56, 0xb7fec2d5, 0xeca65261,
+    0x287338d8, 0x5a994969, 0x1a91d097, 0x89bb210a, 0xafad1921, 0x5bd437a5, 0x216abe5f, 0xa57f0a58,
+    0xc013a29c, 0xa76da688, 0xb0fdaa15, 0x8aa8e23c, 0xc9daf171, 0xe6b519be, 0x9004da91, 0x8574e7eb,
+    0xb065e1dd, 0x82730fe4, 0xd71996d7, 0xf6f35be5, 0xc1a38a1d, 0x70aaaf0c, 0xa21df984, 0x9c768684,
+    0xd19d75f3, 0x4187f8e2, 0x9ba41d2e, 0x67e4f361, 0x3a53727b, 0x369d02be, 0x3fbc228f, 0xf3b743f0,
+    0xbfd00e9b, 0x8d7b45c7, 0x3d664d17, 0x1396d7ed, 0xd2ec4c91, 0xad8436c2, 0x85daa920, 0x6ae2a1af,
+    0x039b39f9, 0x204a819e, 0x3310c64e, 0x98625bd6, 0x02ff0d45, 0xe380310c, 0xb102c6d1, 0x1c5b50f3,
+    0x4d5e6540, 0x42eebeff, 0x210336e4, 0xe6c31137, 0x15423d91, 0xf456860b, 0x35814431, 0xe3258ba4,
+    0x75765c01, 0xfa6abd62, 0x8ea3e37b, 0xf2a1710c, 0x7280f7b2, 0xe7d0ac77, 0x6702c49e, 0x17a686fe,
+    0x84a8489c, 0x44198026, 0xb181a224, 0xcb0ff9ce, 0xd217ea88, 0x4796d326, 0xf57c7975, 0x705d8284,
+    0x981a0e2e, 0x73ed475b, 0xe7046915, 0xa78a6391, 0xae7f6efe, 0x04021f10, 0xcba8f247, 0xe343e841,
+    0xe1e30ba3, 0xd899a53e, 0x2442464b, 0x2b4d44bd, 0x77b1b687, 0x8857072c, 0xb0c6d733, 0xcb5dd967,
+    0xdcc899f8, 0xfd1d3bf1, 0x4a8dcd01, 0xb3229493, 0x84dce70c, 0x76eb6d10, 0x2c6fc65b, 0x63b01412,
+    0xa66fb054, 0xbd0cd1b0, 0xa18a31ff, 0x8263143e, 0x84743532, 0x22120d21, 0x1d062e1f, 0x7ab9c5f9,
+    0xb1749a4a, 0x36c96f2d, 0x48143901, 0x5d398d37, 0x2d760070, 0x8098ed87, 0xb1f51e5b, 0x56c558ee,
+    0x15c84130, 0x5524d650, 0xa159bea3, 0x12ef8b5e, 0x86835cb6, 0x00c503b2, 0x7edc5e31, 0x4e0f339a,
+    0x7b38266b, 0xba348fc2, 0xfae37f44, 0x69818649, 0xae7de5ad, 0xfd8ac2c3, 0xd5d7ade8, 0x057f0d84,
+    0x5f99bef4, 0x3a6a68a8, 0x12d8d86c, 0x2de61de9, 0x39727480, 0x4e8125de, 0x8586970f, 0xe6004132,
+    0xa1fe943b, 0xf3a664e3, 0x905c79ed, 0xec9501ae, 0x5b5f5014, 0x85ad6343, 0xb5c1374f, 0xe4178d76,
+    0xac287221, 0xe76100a8, 0x8dedf3ce, 0x991cd053, 0x7005305d, 0xce3939e9, 0x36c9c4f7, 0x5807ad4c,
+    0x63beb66a, 0x2b5344e6, 0x21934c5b, 0x11ecc4e0, 0x45fb441f, 0xe44953ce, 0x18c2172d, 0xf46063ca,
+    0xada0d6d9, 0xca5fd781, 0x20fedf27, 0xa5d9281a, 0x00692447, 0xba42f1a7, 0xdbb6f39e, 0x1b2478e7,
+    0x5baeb6ba, 0x24e388e8, 0x8be66ec8, 0x02c35831, 0x4c74c0bd, 0x22b14aba, 0xa6af12e8, 0x3797417e,
+    0x3461b72f, 0xcd08f7a3, 0x97e43cb7, 0xe38b34fa, 0x6dfc2f15, 0xd4459629, 0x82b48b7c, 0xc110b208,
+    0x4ed3f3f6, 0xcf0c18d4, 0x3f98ce20, 0xae319a98, 0x5ebf3ee3, 0x4671db2b, 0xe9bf3c5d, 0x927597ac,
+    0xa803178c, 0x1b8271bf, 0x56149896, 0xe5ccc856, 0x72eb7f93, 0x9c93d59e, 0x56d6dba8, 0xff9a4439,
+    0xfa8a48b8, 0xa98d662f, 0x52103baf, 0x3aec66ef, 0x72c03d5f, 0xc930e95c, 0x7cb77dde, 0xdd0993e2,
+    0xd2b8e108, 0x65bb34ea, 0x62d399fa, 0xe7527440, 0x313653e6, 0x17c635e7, 0xa1d718bc, 0x39adc32c,
+    0x369cb2ef, 0x5c43985b, 0xd671eeb3, 0x4eb93372, 0xf4c3c585, 0x433280c0, 0x8db5bf13, 0xf2a88d9f,
+    0x45ab5a9b, 0xf71d22d5, 0xf15d7c98, 0xc1208380, 0xc48d3aa2, 0x651fbc8d, 0x1acef915, 0x8b16c276,
+    0x7d4deda2, 0x47255ed7, 0x20608d74, 0x4356e2e7, 0x3babe2a9, 0x2044b443, 0x08d80555, 0x3a94630c,
+    0xa59c34d3, 0xf2f19055, 0x3ddcfe96, 0x7dd16152, 0x413b8dd8, 0xba98905c, 0xedae8ec1, 0x499462cc,
+    0xef37321a, 0x17bdb66a, 0x424e7876, 0xd0fc7886, 0xca619371, 0xe4cfb993, 0xd28d7612, 0x45d08b85,
+    0xbe33e31b, 0x772a13b2, 0xaecd28bc, 0xa710887c, 0x43a84e40, 0xa5fb83d3, 0x5f77bc55, 0xc45e58ed,
+    0xc5551b4b, 0x07375faf, 0x5f88718b, 0x5e1018b8, 0xe9788635, 0x8ebf3b7a, 0xecec5566, 0xd88ef2a8,
+    0x09943b0d, 0xbc378d98, 0x41c7838d, 0x38d83c2e, 0x934d9763, 0x5d5f7cf9, 0x5b32e35b, 0x98783b67,
+    0x206e4822, 0xbafbf8d6, 0x3bfa0c44, 0x2f10a16e, 0x5207653a, 0xdad9d8ed, 0x63e743bb, 0x005c94f3,
+    0x4f6c4153, 0x66a00d0e, 0x2f1d805a, 0x973a2027, 0xa101de4d, 0xb393b7b8, 0xca196087, 0xaacea6e3,
+    0x446beed0, 0xa8c400f3, 0x859aed7b, 0x29df3c74, 0x6cd3ef72, 0x55fcc202, 0x5693698e, 0xad50557c,
+    0x8b400e43, 0xb3a9f8c7, 0x337829b7, 0x8a3a83d1, 0x6410c62a, 0x2773b98e, 0xc6f2ca92, 0x0f99b1f5,
+    0x0e3d5771, 0x5e7aca08, 0x14157790, 0x2cded6ec, 0xe093857b, 0xd9b23c52, 0x88bf6e1c, 0xfe677023,
+    0x84552c63, 0x080f3a49, 0xc3140bb9, 0x0591626a, 0xff83bc0b, 0x18091e01, 0x760c04c0, 0x300c8ba1,
+    0x1f4b48a1, 0xdf1201a0, 0xbebed6d3, 0x77459f1f, 0xe3c4cd78, 0x47b2ea7a, 0x0f1b67f5, 0x36f897eb,
+    0x0af35700, 0x3eb81925, 0x04a6b009, 0x99b0b877, 0x66ac3ad0, 0xff0072b3, 0x4c64eca4, 0x248b8f7d,
+    0xffc81848, 0xc55722ec, 0x501cf413, 0x93f877cc, 0x01a5ee40, 0x4befe164, 0x7e88d6de, 0xf14d94e0,
+    0xdffc8e6a, 0xbfd57f34, 0x317aa54d, 0xf53df17c, 0xd0cd4dbd, 0xad15a9d2, 0x543835df, 0x7367c6fd,
+    0x02485124, 0xa43bc0f4, 0xd617ba79, 0x5339ad88, 0xec6e177e, 0x7a3f8920, 0xcd21d916, 0x15d158d9,
+    0xa93350e7, 0x256a8150, 0x1e3e71a3, 0xbe0b5bd2, 0xbc36ef35, 0x03aa4a44, 0x233617a1, 0x5acfff18,
+    0xa4735433, 0x3696092b, 0x417040de, 0x6eb6c9f9, 0x093dd22f, 0x416d6040, 0x1f4e84c0, 0x3beed8c9,
+    0xb33448ab, 0xeb515b81, 0x8f7fa11e, 0xcfa95d5e, 0x681b4abc, 0xe29af6c1, 0xa09cede2, 0xb92806ec,
+    0x3d2ca6be, 0x5595cf47, 0xdb7c8994, 0xa61cc198, 0x7c8f6fb2, 0x16c81c5f, 0xec112d62, 0x5c37d7af,
+    0x73c0067b, 0x5221fb41, 0x3e3d5491, 0x795b14de, 0xfdbe94be, 0xd2c50da5, 0x13bb2cf9, 0xf1a09b04,
+    0x4b47465a, 0xdba73505, 0xa26d2341, 0x4547689b, 0x20eb675d, 0xf689f1f9, 0x7227354a, 0x7a699cfc,
+    0x8892f2f6, 0xd6dda3ec, 0xf3da96d5, 0xf6d2c7d6, 0x886185b9, 0x41ba868d, 0x6ad45fda, 0xe87eea7a,
+    0x3377aaea, 0x9a4d54aa, 0x0ded234e, 0xa5c572f1, 0x42c3d421, 0xb6486024, 0x408437ea, 0x0419c29b,
+    0x868f9905, 0xa4f8cfcc, 0x05fdce8f, 0x9505d770, 0x7f999729, 0x780b4c34, 0x55870ff6, 0xb3befb0f,
+    0xcf2aadfd, 0x49d95052, 0x5ef32e48, 0x9ea40a89, 0x68d64ee2, 0x2a41b08e, 0xc66a4b10, 0x7b6ce922,
+    0x140f9629, 0xc5efdf1f, 0x7bdaa067, 0xa0a7a171, 0x02173da7, 0x6a53916e, 0xf7c7bb8b, 0x1cf2c13e,
+    0x0f10faa7, 0x861ef9ad, 0xaa3fcd20, 0x26ec5d11, 0x52fac625, 0xc3fa91cf, 0x6197e3a6, 0x04c51de4,
+    0x7439f53f, 0x3d499d91, 0x195c6511, 0x42f9da3c, 0x551dfc9e, 0x7710a2a5, 0xa6ae1c6c, 0x76619874,
+    0x56521c2d, 0x0c37cb34, 0x867f90e6, 0x735f74a8, 0xec3e8eab, 0xef42a14e, 0x7303432d, 0x503821e5,
+    0x85dbbd62, 0xf30dce70, 0xebd2998d, 0x6e98fbdc, 0x5b7355cc, 0xd2252f5f, 0x4aa57264, 0x55ba6095,
+    0x6df430be, 0x41d36a74, 0xc360686d, 0x7a329fef, 0xc312c8c6, 0xbb208fb8, 0x2b93e3c9, 0xbab86a9b,
+    0xfb525a09, 0x1f3cc9de, 0x401f5c3b, 0x58de61fb, 0x4051d958, 0xad646116, 0xf981492f, 0xe6609ad6,
+    0x662fb0f2, 0x5c443e9c, 0xe68a78e8, 0x343fe711, 0xb3222197, 0xfa143139, 0xbbf0a84c, 0x75247ecf,
+    0xf7c5f3f1, 0xf5cab609, 0x757dbfcc, 0x6089457a, 0xe1559696, 0xf4d63cd8, 0x74cac4f9, 0x503a8f5b,
+    0xa876f06c, 0x5c2fac21, 0x44beb9ba, 0x58cb46e1, 0x5924cc52, 0xff0e9d50, 0x0418dd4c, 0xcffb9228,
+    0xe0707779, 0x6780203a, 0xcf50d81b, 0x0d43015d, 0xa273f56c, 0x2fc8c3ea, 0x2463bd36, 0x4dd924c4,
+    0x29c9bb3a, 0x393c25dd, 0x18bb97b3, 0x34607847, 0x8c860ef3, 0x55fd7eb8, 0x6c7f198c, 0x1d485960,
+    0xa6cf64d6, 0x6c637ecb, 0x7da46670, 0x973f9069, 0x93a99ff5, 0x6946380f, 0x325ac0d2, 0xbb638251,
+    0xb6f52e69, 0xfb13b088, 0xd8df0c85, 0x0ee12240, 0xc9a06ce3, 0x871a9b8b, 0x2ffbfe2d, 0x5886d8c1,
+    0x87e08639, 0xa13c0ce1, 0x0585aeef, 0x042aa04b, 0xa78d7fb4, 0xdb06bdfe, 0xdd6a603e, 0x01c5c51a,
+    0x468a8d08, 0xa6a80ec9, 0x18436b18, 0xda1a45ec, 0xb1e94b89, 0xe0a75e60, 0x1c303699, 0x96422736,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000411376139330301510538742295639337626245683966408394965837152256 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f67, 0x5a9d236c,
+    0x00000000,
+    0xa2e1758b, 0x5f425cbd, 0x53d21fcd, 0x62a6e081, 0xcf72c2ae, 0x7ceebacc, 0xcf8f8963, 0xf50fbd7c,
+    0xbf00c545, 0xaeb01278, 0x5aa77cf4, 0x38f995f1, 0x3a8d0b8f, 0x7992b278, 0xf4a7223f, 0x3a9109c0,
+    0x256f4177, 0x8d9f118a, 0xa3373877, 0x19cb257c, 0x3bba0192, 0x6e8f61e2, 0xba4edaa2, 0x0db16ebb,
+    0x3d372056, 0xb308a340, 0xa2e6cd31, 0xee77cc27, 0xaf97293b, 0x52af78a9, 0xdf5c2106, 0x602eb37e,
+    0x12444226, 0x9de4109b, 0xfb12750c, 0x946eec6b, 0x5f1f9154, 0xa00aa425, 0x6a4adc27, 0xfb2f6452,
+    0x855baef8, 0xb86cf2e4, 0x1c88a873, 0xe03b025f, 0x5b63d3ae, 0xf19e3f02, 0x0240c251, 0x036e7552,
+    0x418eda47, 0x9083e306, 0x44ecd622, 0x0904f006, 0x75444cc1, 0xb2317212, 0x6aedcf78, 0x4ad205c9,
+    0xcb3d6f21, 0xc11d4539, 0x411060d9, 0x1414a57c, 0x18dbc03e, 0x77da8496, 0xea886d00, 0x7e0a69ab,
+    0x51ca637a, 0x65e48d3b, 0xc8c8ba08, 0x4d9ce0e1, 0x956ad265, 0x5b1acc9b, 0xf6c01348, 0x51998637,
+    0x1c218ff1, 0x1cd9c11c, 0xdb0f39c6, 0xcacf17d5, 0xd5280cea, 0x354f0f38, 0xed738b8c, 0x009a541a,
+    0xe4014ce0, 0x595eb6c0, 0x3ea43800, 0xeedb521c, 0x50afc88b, 0x188faaa9, 0x7bfdaf1b, 0x27964a31,
+    0x0e513094, 0x6af7720d, 0x8dcb63c0, 0xf3949b07, 0x9c673944, 0xc600e576, 0x545b786d, 0xba87511d,
+    0x652703cc, 0xf4bbd711, 0xeed764ca, 0x83f8d671, 0x7b90950b, 0x63ea4bd4, 0xeaff1487, 0x8ed40003,
+    0x298f9b7d, 0x6aea80b3, 0xeb01ee23, 0x62cd322c, 0x3aec915f, 0xc51e7d4c, 0x429b2b0a, 0xe6ba0855,
+    0x4dca9bfe, 0xe7a81228, 0x1aff1fd1, 0x1d50cf10, 0x114b2c41, 0x811fbad8, 0x6845c5fc, 0x9f3272c5,
+    0xf27553ac, 0x371ed2c8, 0x0d929457, 0xfb9e481b, 0xdc8640f1, 0x18cbee79, 0x368b3bd7, 0x3bebe385,
+    0x8c569654, 0x96bf4961, 0x5ad2004c, 0x6e05d44e, 0x7916cc6c, 0xd7b891ce, 0xc6885ade, 0x7a5a099f,
+    0x4bc2349d, 0xe09827c8, 0x1a9ba0a7, 0xbd45a9f4, 0x6366d714, 0x5779a372, 0xbdaee277, 0x66ec6b58,
+    0xbf946588, 0x3b753111, 0xc76f7867, 0x981a2aa1, 0x222754b8, 0x64e27a43, 0x240c7f00, 0xc26ae0a3,
+    0x142df3d6, 0xd0ecdf43, 0x079aaf01, 0xcb65010f, 0x71353ddf, 0x7eaa21cc, 0x7d38c6e4, 0xa3bb360d,
+    0xb7dedb7c, 0xd5fddbbb, 0x8a592386, 0x3baf7710, 0x4054ecdb, 0x056939f5, 0x53a558cd, 0x66474a75,
+    0xd85ca4bc, 0x56f69a56, 0xa202a882, 0x996a50f0, 0x8da4aad6, 0x4f2f0441, 0x314ce9f2, 0xa54b1b47,
+    0xefd5a83c, 0xb2daad3f, 0x605d41ab, 0x763c930d, 0x779fd35b, 0x6bc1de5b, 0x5e40216e, 0xc8625675,
+    0xa0cfe287, 0x6f014765, 0x5537ed3a, 0x2757ff63, 0xb1266917, 0x2d469627, 0x9b03b9e4, 0x69b0d4fe,
+    0xf54fb1b9, 0x70513a01, 0xa81a4d86, 0x0e46fda8, 0xb23211dc, 0xc7d9c399, 0xcf3c2e8f, 0xfd27df61,
+    0xa829abff, 0xf2d62531, 0xfb76424a, 0xe6162122, 0x93f13f60, 0xfe7ff35a, 0xc36d4bd0, 0xeedec731,
+    0xedb7ddcf, 0xf18be376, 0x18ec1d46, 0x58f31f87, 0x213c0b5a, 0x9f2a27ab, 0xd35e2bcf, 0x0ee5a0c2,
+    0xb18c04c7, 0x204afa3a, 0x0d60ae2d, 0x42a0df0b, 0x451e8fa5, 0x9669f552, 0x9c4969f4, 0xf75162fd,
+    0xb3e0e336, 0xe2a72611, 0x06a5c8b9, 0x1fcb9a5f, 0x5ce076c7, 0x31d7cc54, 0xbb5f1ec3, 0xdd058f01,
+    0xaafb1495, 0x3465909b, 0xd31fd8aa, 0x0064701f, 0x31674bc0, 0x9b0c54b4, 0xb9819cdb, 0x8ed2a0fb,
+    0x649c5928, 0xea2a3fe5, 0x86d69712, 0xc385d34c, 0xfdc30e1b, 0x0900afb2, 0xc39206ef, 0xf1d40239,
+    0xb0b9187a, 0x0409882a, 0x1d708792, 0x50568f00, 0x20548c73, 0x5129a1d5, 0xacfa7547, 0x12e37e0a,
+    0x04176986, 0xaa283b09, 0xa171c3fa, 0x796b424d, 0xa2db92b5, 0x05f4160c, 0x17b9662b, 0xd6ed9690,
+    0x2dc5d74d, 0xccd94f82, 0x0cffe0f4, 0x185b8520, 0xdc5d0eb8, 0x22ab2805, 0x87973112, 0x19f1ef28,
+    0xfb67d94e, 0x6d252d3f, 0xb89e895b, 0x96863d06, 0x64830bb7, 0x9890709a, 0x10adae12, 0x687a516c,
+    0xaa939567, 0x297e592d, 0x265d414a, 0x90f07df0, 0x35664e93, 0xbc7c8f50, 0x06be8f14, 0xb191302a,
+    0x97f2d091, 0x0a93c87e, 0xcca7bcf1, 0x2a638b79, 0x89dbfacb, 0xbc9507e6, 0x8fc0fb8e, 0xad7d6c42,
+    0x946eb0c1, 0x1e00fb58, 0x698b3bf5, 0xdc263702, 0x26dc2e26, 0x70e7a7e3, 0x6c6aee89, 0xb64681cc,
+    0x7248d088, 0x91cb21ed, 0x1de35269, 0xc82f657e, 0x21c155ab, 0x3657ac10, 0xdd0e7559, 0x3698862c,
+    0x242a23fd, 0xe1361f75, 0xe8ca48d7, 0x40390be4, 0x9e4b7139, 0x4cf6f710, 0xe7dba78f, 0xf4bf3c2f,
+    0x5256de88, 0x42c19710, 0x10cdd901, 0x0015928d, 0x15de605f, 0x8b4a7d81, 0x282eb955, 0x37186688,
+    0xe774107f, 0xe0f099e7, 0xd621c37c, 0xa8020ddb, 0x07b694df, 0x3a2ac15f, 0xd55943a2, 0x563bcbfa,
+    0xd3a23697, 0x92c819cd, 0xbee39ac3, 0xed968fe7, 0x06848274, 0xdf7d23cd, 0x9f2dcd3f, 0xdde8b81e,
+    0x89601ff8, 0x68087027, 0x251b11ec, 0xa5003428, 0x20203142, 0x2ae3df18, 0x05f88bd7, 0xab17df0f,
+    0x4f4c40a4, 0x408f156b, 0x2b9fc1c6, 0x0c7c38c4, 0x300cd64c, 0x723fbfe2, 0x6cba0b63, 0xf6273bb8,
+    0x7eaa14af, 0x88f1e4c8, 0xabe10c3a, 0xf21cad58, 0x75a7032f, 0xafb60f1a, 0x30ad2a72, 0x608a6ef9,
+    0xeb661cb9, 0x2776483c, 0x746be8e3, 0xbd4fd299, 0xba0167fb, 0x399d5488, 0x607c7b18, 0x0e2077aa,
+    0x168ba00c, 0x324e7761, 0xc29c9a2d, 0x7b25f0ff, 0xadcc7795, 0x4a28ab0b, 0x9c299359, 0xc75488ed,
+    0x2f60cfd6, 0x159bf350, 0xf4cc555e, 0xc7ac5dbf, 0xfea3ce98, 0x082f4864, 0x00f4b560, 0xc470c58e,
+    0x455e321e, 0x6f65db82, 0x89e0f32d, 0xc7afc30f, 0xe0f0573d, 0x64121953, 0xf7045f36, 0x3b8e30f2,
+    0x498b7739, 0x828e0359, 0xd9573688, 0xeaf36fa1, 0x9fb22ac6, 0x5f8236d1, 0x6e82a7bc, 0xc3c49d15,
+    0x0f09bca1, 0x2509f8bf, 0xef802e68, 0x360de78f, 0xe7e22f3c, 0x14db3e37, 0x405a6466, 0x4f275409,
+    0x5bb9610b, 0x73c4ef10, 0x1328c89b, 0xc96fa6ba, 0x5c410fd5, 0xeb8c629f, 0x278db820, 0xec553022,
+    0xe8b7cfed, 0xf31d0861, 0x93827054, 0xb8d2efe2, 0x3a63c200, 0xa8f3fa2e, 0xd0defd5b, 0x5aeeac8e,
+    0x6d1eb0ec, 0x51ca5e72, 0xc0d7ca49, 0x770c3a0a, 0xf942d4a7, 0x7ecf8014, 0xd7a05f0b, 0x4fffbac4,
+    0x75bdb3c8, 0x5e3f44a6, 0x8fa187d1, 0x837f9932, 0x2bda8619, 0x698dc54e, 0xa0b29f78, 0x467660bb,
+    0xc0173516, 0xfddc3218, 0x74f7071b, 0x9b920623, 0xc77f5b1e, 0xdf354a5b, 0x0a153922, 0x4c82e667,
+    0x72410a81, 0x95e23ebd, 0x96066ce5, 0x8653ba21, 0x4d76692e, 0x986751a3, 0xdcf1192d, 0xa532d881,
+    0x66fd8a46, 0x4536b658, 0x84033dc0, 0x17706db0, 0x867c53c1, 0x20e234d5, 0xd93f5edd, 0x71cfbe0d,
+    0xe848c2a3, 0xcd76b421, 0x72bf2cd2, 0xe7582e9d, 0x51b90e86, 0x3ff034d4, 0xe35e2bb2, 0xdbdd8d24,
+    0x3cbe6731, 0x310ffe5c, 0x350f4620, 0xd773a243, 0xbd5140c1, 0x5913e164, 0x7bc94be2, 0xf00ea75c,
+    0x8c736d09, 0xeecf71cd, 0x16c66f97, 0x7f856f51, 0xeadfce07, 0xff94441a, 0x290f85f1, 0xafd260c6,
+    0x09c4f05a, 0x2ce72085, 0x9a5013e8, 0xa97105ba, 0xf1cb5cee, 0x62ffbc7b, 0x69f629b8, 0xbd0f4014,
+    0x7124c152, 0x3160de2c, 0x607437b5, 0xa80d7992, 0x11361747, 0x3903aa68, 0xb91504a8, 0x89bfeccd,
+    0xff05df83, 0x054de037, 0x0022d21f, 0x46c9f6f2, 0xca1c52a3, 0x35fbc7c9, 0x339e0d2e, 0x4b3f9e82,
+    0xa92e6908, 0x51bb21dd, 0x27b41ee9, 0x73b56777, 0x3ac90ff2, 0xab065d2a, 0xfbbe57da, 0x1673d3cf,
+    0x29058c6d, 0x3aef640e, 0x2dcc1864, 0x0968c33d, 0x5f16c214, 0xca68cc56, 0x33016265, 0x387748fd,
+    0xcbba79de, 0x75efa321, 0xe926d5be, 0xa088294e, 0x44ee599f, 0x67f12745, 0xfdbedaa5, 0x14473611,
+    0xdab1112e, 0x5558afda, 0xdc74a8fb, 0x800d4708, 0xf55b2c6b, 0x5a539b08, 0x1cbf51ba, 0x6fef2bd6,
+    0x572691d7, 0xc0d0a12c, 0x9f6c066b, 0xba32ef0e, 0x7afd10ea, 0x08340be0, 0x18cfc9c4, 0x2c741af0,
+    0x2e463f04, 0xed729ca7, 0x3bac217d, 0x7c363195, 0x02690cbb, 0x23493e95, 0x912496b2, 0x458da344,
+    0x52de272b, 0xa6c829d7, 0x4aac676f, 0xa72a1745, 0x3f4547b7, 0xe9ff4b61, 0x04dea7f1, 0x207b6bbd,
+    0x3268f45e, 0xb899b99e, 0xf363877b, 0xe631b73e, 0xf3e6faab, 0x644cf6a7, 0x669bdb7f, 0xbabbe495,
+    0x905af119, 0xd017e10f, 0xda23fd89, 0x57cd458e, 0x53d2cdbe, 0x556f5304, 0xcd549d0d, 0x8a769d36,
+    0x19d31728, 0x7f75b761, 0x4fef3baf, 0x4601ade6, 0xc95c4f90, 0xf4291627, 0x28ecb8ec, 0x920fe982,
+    0x733eb230, 0xb3a33074, 0x9cd25074, 0x6c9e09f4, 0x4d9eb4f6, 0x95eb526d, 0xceb96285, 0x8ef82ed3,
+    0xde77c283, 0xe01027de, 0xf2cc0a51, 0x13a59afd, 0x848f4693, 0x1f951e90, 0xd47e1afd, 0xd9c20e3a,
+    0x5c8f3771, 0x801ae0e9, 0xcf37974f, 0xa553dff4, 0x2036fcc9, 0x8b0c857a, 0x6c8ae28d, 0x1059899f,
+    0x27b92d3c, 0x6d4fb665, 0x7b45c11c, 0x4eae984b, 0xe9383b17, 0x30b71d4b, 0xc95a5e0d, 0xdb8b9a0a,
+    0x4da79af3, 0x32f91add, 0xaacc2638, 0xb0cb4931, 0x5eda630d, 0x4253dbe2, 0xd150121a, 0xab336742,
+    0xed35f3ec, 0x0ca008fb, 0xc39149ff, 0xec9b8601, 0xc6dce592, 0xa68dbcc2, 0x4f44e12b, 0xc5894239,
+    0x9f6591de, 0xf823244e, 0x5cf30da8, 0x97061eb1, 0x7c7e8177, 0x629193e8, 0xa42a9d74, 0x92f8e7b9,
+    0xfedd870e, 0x66384850, 0x4de182df, 0x049cefdb, 0x2ca2c990, 0x1dd6354d, 0x5d85a83f, 0x5a9c435d,
+    0xbd7678b7, 0xbf482a64, 0xd93e196b, 0x4bd37618, 0x9b44e39c, 0xe63ac2be, 0x8268e63f, 0x1b6d6d75,
+    0x36338a20, 0x987d5051, 0xef8a1c3b, 0xe8540261, 0xd40f9f30, 0x566e1412, 0x3d751dd9, 0xe73308d5,
+    0x5fc16940, 0x2ba69439, 0xc38c39d9, 0x7ddb2aeb, 0x4ebf6067, 0x0fc8f553, 0x29c9e462, 0x3c22f79a,
+    0x1f4ecb3c, 0xc5604dec, 0x41f4493a, 0xe81da465, 0x96cc4c88, 0x5447c562, 0x95618d6d, 0x099af1f8,
+    0x7621c074, 0x8ade929b, 0x59e2a2e3, 0x34e02a8f, 0x5d294c41, 0xd96d2119, 0x1cf4a624, 0x038c9256,
+    0x7f3794cc, 0x13f6b2dc, 0x0e6558f2, 0x61658a7e, 0xb95e09c3, 0xe0365b9b, 0x6917771b, 0x6d740149,
+    0x98d4351b, 0x5ca0869d, 0x79137371, 0xc2ad7781, 0xeb9ae0b7, 0x51d25946, 0x9ca81dca, 0x46924b83,
+    0x688108d1, 0x3cc261ba, 0xb06ae8ff, 0xa65d5186, 0x6d1dca3d, 0x3823ae12, 0xad79e8a8, 0x6598918d,
+    0xa627ce2b, 0xf687b9ee, 0x103950b2, 0x683fd5d1, 0xd2bf8e6a, 0xc7e98cfa, 0x5d9c3c19, 0x16a076e1,
+    0xf4b49f6b, 0xbf294eba, 0xab0808a2, 0xf5d0c384, 0x4072ea99, 0xfd99c84b, 0x11d02c54, 0x9aff1f6f,
+    0x96a82360, 0xd90c79f5, 0xde57f564, 0x77e50772, 0x8d2ce027, 0x74f534a0, 0xe433ee73, 0x256c7326,
+    0x951b989e, 0xb02f7ccc, 0x2a0edc69, 0xc0ef4b82, 0x59fc9006, 0xf38b240b, 0x5db062d1, 0x759d07ad,
+    0xadecc7af, 0x4ebfde2a, 0x647a9827, 0x99392f36, 0xd76891c5, 0xe1781664, 0x5b1e6e35, 0x4a7ee03a,
+    0x233f3021, 0x1d4f469b, 0x868bd0ee, 0xc5adfedc, 0x55e377ef, 0x26f437c2, 0xb9e43411, 0x1b418da2,
+    0x854f03ea, 0x2fc5c077, 0x8709fa16, 0x851fedf0, 0xc4ea2a80, 0x589365da, 0x479a9ee0, 0x0386bdfe,
+    0x53db99be, 0x9272f39b, 0xe28f885c, 0xaeb4cf45, 0xefbcb53d, 0x00507a56, 0xdf4897fa, 0x65149ba7,
+    0xef32bf42, 0xe815fe3e, 0x3910c86e, 0x2293e831, 0x06a1ddc3, 0x5f726180, 0x4348d4d2, 0x3eb5f37e,
+    0x7411df72, 0x0642fb3f, 0x4708ebed, 0xda5b238b, 0xf0e157f3, 0x305fa751, 0x1fe934b0, 0x7aff6f00,
+    0x06653b67, 0xd109452f, 0x8eb1216e, 0x6351373e, 0x709ee328, 0x13f3c268, 0x2edc8713, 0x5c3cb887,
+    0xe5b1aa38, 0xbb25718f, 0x3c257516, 0xbbb28ebb, 0x59eafc55, 0x43c91df6, 0xcd749b4e, 0xeb52a238,
+    0x92dda2b7, 0xc5b01c95, 0xf313fe98, 0x3eb8a9cd, 0x9e073f8e, 0xce150068, 0x1e00f5e0, 0x3a9ca523,
+    0xc5909b58, 0x3f629f89, 0x0b51005b, 0x7058002f, 0x49a2e683, 0x1f78fd7e, 0x85bec9fc, 0xaa7df19d,
+    0x442066ae, 0x99264f76, 0xf1c94a28, 0x472f6a5c, 0x2ee4c3ce, 0xb43106c2, 0x155fddd1, 0x39ac1413,
+    0x0a84abaa, 0x630d72b0, 0xd56a70f7, 0x7f4163da, 0xe565388c, 0x49177a4f, 0x39f5b67e, 0x67b9b92a,
+    0xada629e5, 0x9101a0f6, 0xe18ac1ca, 0x0b69779d, 0x17951210, 0xfe3f3597, 0x94853e11, 0x27f03b61,
+    0x83489036, 0x9dfe88bb, 0xd79ab376, 0xb30b096d, 0x7a930390, 0xc1b9fa05, 0x5992fc8a, 0xa6b9cdb8,
+    0xb9d3f95e, 0x27287810, 0x5b4e314f, 0xae3c430c, 0x625f50c3, 0xb41291da, 0x2e045059, 0x1819e07d,
+    0xf0e3cbec, 0x41e2bffe, 0xe25e8d75, 0x12dc17f7, 0x7507117b, 0xf26f9ad5, 0xdcb5a6ab, 0x7d26b83b,
+    0x07cc19ae, 0x479a5271, 0xf81a26a5, 0xf783926f, 0x7e4796e0, 0x45b0c1d9, 0x5d56d2fb, 0x8a065ade,
+    0xc700279d, 0xb3175c66, 0x57087497, 0x8a6bcde4, 0x0f119eff, 0xcd8c151a, 0x4a9bb867, 0x4cca053a,
+    0x46d0a073, 0xae0002da, 0x3823303b, 0x4e0d1944, 0x4215230e, 0x8719dc28, 0x340fc4a5, 0xf0d2bd3e,
+    0xadd910e8, 0x2d4d4601, 0x0c1e9bcc, 0x8282866e, 0xd8299c5d, 0x8609fecd, 0xc3fada7b, 0x1c0d4f63,
+    0x9c21ac44, 0x7f1ca87b, 0x7dc19ba2, 0x8401ea4f, 0x6bee9c1d, 0x34a4e56f, 0xf50ebcd6, 0x8e033241,
+    0x1b48f9eb, 0xbc81fc40, 0x1a270f39, 0x16522389, 0x7a46d728, 0x79a11164, 0x26e2dd32, 0x28efb783,
+    0x99d4504e, 0x5545d6b8, 0xc6f923da, 0x3d6c3304, 0xc8793b16, 0xe84d808e, 0xf8f88947, 0xe1242805,
+    0xc801ccf1, 0xe6b4a8e8, 0xe47a0dbe, 0x931cabe7, 0xadc5665d, 0x6d9898e1, 0x0fb9eba3, 0x1f184def,
+    0x34af5be7, 0x207adbed, 0xea91e062, 0x7df7a40a, 0xd4d80c25, 0x0dc1efe9, 0x533b9932, 0x87728992,
+    0xa45f700d, 0x39fae4c2, 0xa04a78de, 0x18663950, 0x4e51fb66, 0x2a8ccfb0, 0x48640a0d, 0x590a9fba,
+    0xa68b6fc4, 0x514f9f1c, 0xb973f643, 0xc9061a87, 0x2fcc4c6a, 0x8f2ae50a, 0x7a07283c, 0x470b175a,
+    0xbf4e0908, 0xee023c88, 0xd84d60ca, 0x9001dd31, 0xc90d77ce, 0x06f6fa4d, 0x626b3b53, 0xdc6e7626,
+    0x1fb6c3ad, 0xf9aa14ac, 0x76dc821a, 0x3bef83bd, 0x80a252eb, 0xd000d467, 0x53b7dcbc, 0x1d0e4b5c,
+    0x70d632ba, 0xac4cef2a, 0x049dd3d3, 0x1f504c93, 0xabe15752, 0x57ee766b, 0x910807fd, 0x5c37746e,
+    0x3f646e27, 0x089bc98a, 0xc8072f86, 0x0c11ff5a, 0x4f682caa, 0x3e36af4f, 0x24ce70d0, 0x36349895,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000205688069665150755269371147819668813122841983204197482918576128 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b3, 0xad4e91b5,
+    0x00000000,
+    0xcc33162e, 0x227b653a, 0x96a4cbd0, 0x23d7b176, 0xd1d4c486, 0x455fc283, 0x70822610, 0x08826699,
+    0xa812ca38, 0x9473c6e5, 0x2c93e099, 0x916986c3, 0x6806830d, 0xa257dd9d, 0xc0e6e585, 0x1b14991c,
+    0x02bd4a62, 0xc841b3bf, 0xd1684887, 0xf4f72ea7, 0x93e672f4, 0x7103fdb3, 0x17b07875, 0x9d5c2575,
+    0xf413e6e6, 0xbcb2926e, 0x216b51de, 0xd96cfc6f, 0xe3c00882, 0x52a4dda0, 0x1c7fa697, 0x63006dc9,
+    0xf51a8ee4, 0x5dab8fe5, 0xfe9985f9, 0x4230cb52, 0x4296d677, 0x78fd6698, 0x10c08855, 0x275bca82,
+    0x769407f6, 0x602f0633, 0x88095003, 0xa211a0a1, 0xdea67d80, 0x2ee59af5, 0xfce78d82, 0xc4b8ecbf,
+    0x5c146ec8, 0x88b34574, 0x8ab3e6bf, 0xb8fd4947, 0x251f25b4, 0x99fcb0de, 0x18ee7a2f, 0xe57a2977,
+    0xe85f88ba, 0xe5ca30ad, 0x086f9e8e, 0x6c103294, 0x7fc8e777, 0x7d89a4f4, 0xa5ea8b72, 0x4ed55ea3,
+    0x1dfe541e, 0xe88751d9, 0xe6df08b6, 0x635a1c4c, 0xca83f1b4, 0x192fca38, 0x85cf2053, 0xc9720103,
+    0xa5399ca7, 0x1992471b, 0x6e55ca10, 0x42e2fa50, 0xd97ea53f, 0x1c072957, 0x21f71609, 0xadc92223,
+    0xda736b11, 0x0fb990cc, 0xdab46f54, 0xa598fb94, 0xba2ead70, 0x9da5c40e, 0xb835a1ba, 0xbc806c31,
+    0x15cb8b23, 0x725bdf68, 0x6922aa4c, 0x88cc342a, 0xefe52b11, 0x2cb3fcb8, 0xb2f2c235, 0xa5bea204,
+    0xcf34021b, 0x6779296a, 0xf6d8637a, 0xecc84c6f, 0x014b6580, 0x45715863, 0x356af035, 0xa533d259,
+    0xf3536c19, 0x8c1fa73d, 0x6004b24d, 0xfb0a4b25, 0x6271d734, 0x3804291c, 0x1ccd3c1e, 0xa3e46e63,
+    0xa17f1281, 0x9a76b103, 0x50bfa7f9, 0xe86bab70, 0x00463678, 0x5031c4a0, 0xf6b51fa8, 0xa0f377e3,
+    0x955f932b, 0x9e1bf455, 0xc3e5ec47, 0x8a20649a, 0xafabfbb7, 0xb2463040, 0x74629f23, 0x9649eec6,
+    0x4d7389ce, 0x55d36004, 0x2ee0198e, 0xe92769fc, 0xfecfad79, 0xd37862ad, 0xd2e5360d, 0xd0b65302,
+    0x7b5f2a1f, 0x5f3771f8, 0xa9cf88ac, 0xe98ac6cc, 0x7b641bba, 0x27279c23, 0xad8e2dbd, 0x4d36829e,
+    0x849b6020, 0xe2829a2a, 0x56824bd6, 0x0f355e11, 0x9f5e8225, 0xad67069d, 0xdf39b1eb, 0xea9e1d59,
+    0x74e7c455, 0xfa8a1e1a, 0xf208d280, 0x639d1eab, 0x341e0fd8, 0x246010f3, 0x204c2b05, 0xcd493548,
+    0x72130371, 0xecf6ae6e, 0x13b10e85, 0x3770caa3, 0x9eafb5fa, 0xa31b3998, 0xe19e2388, 0xb128c21a,
+    0x4e3c4bc8, 0x82728546, 0x302c0649, 0x60de895c, 0x1bc76a83, 0xee56dcad, 0x69d28197, 0xcce3491a,
+    0x97e61cfb, 0x15fad2eb, 0x37eec4ff, 0x7e4f9b37, 0x65fc9b85, 0x24345500, 0x0dfdb0c3, 0xcbc900a3,
+    0xbf33d611, 0x61a5e66d, 0x426e9fb5, 0xf9cc12b5, 0x7681a2f8, 0x3f864aea, 0x6815bf70, 0xf2cc3ab0,
+    0x1f4e5324, 0x7f70b90e, 0x945cda32, 0xb1dff55b, 0x48a2652e, 0x7426f6cf, 0x45d64273, 0x999816f5,
+    0xa84036ef, 0x6e2dfb44, 0xb72c7928, 0x4d5e32a4, 0x6a709c38, 0x0b6f12e9, 0xe62125a9, 0xdc7d7de9,
+    0x2c1ef5ab, 0x6f760c03, 0xb22f38b5, 0x8c0b0b51, 0x2c048543, 0x8a7837ed, 0xcdb99d49, 0x8e7dd54b,
+    0xb453887c, 0x11a79758, 0x055184c1, 0x950f1e1f, 0xf7ff19dd, 0xaa6309e7, 0x510c523e, 0x919e3253,
+    0xa012feb7, 0xd355105c, 0xedff5683, 0x44d5b802, 0xcf1f3930, 0x287221ed, 0x74f7cb28, 0xf5c14d49,
+    0x7540cc94, 0x86890651, 0x84c65acf, 0x16b0ce16, 0xffdb25ea, 0xf61074fb, 0x6b4a9be1, 0x80056505,
+    0xd80317dd, 0xf8272cda, 0x14745401, 0x298a461a, 0xde1a1c0a, 0xcf8ccca8, 0x24253eb2, 0x23db6e77,
+    0x614cde7d, 0x7263dc8b, 0xef0ba102, 0x6ab82d3b, 0x7f53acdb, 0xb90f0341, 0xff53a53b, 0xfd5a9bee,
+    0x473f8f1d, 0xe9cebd3d, 0x1c6959e1, 0x8f48a089, 0xb0939889, 0x2895b5b8, 0x6a6f02c8, 0x6b247d45,
+    0xc15828b2, 0x153b357d, 0x4f0a2afb, 0x9a3a2dd8, 0x3d97eeb0, 0x13e0091c, 0xa3395b66, 0x04c7e111,
+    0xbb09f45d, 0x532a9cb8, 0x0921cc8c, 0x5009d92b, 0xd8e0b901, 0x72bf4c81, 0x64463eb9, 0x12d96d0f,
+    0xed47e4c8, 0xda52eea0, 0x27da44c6, 0x45800b41, 0x28c45713, 0x6a663c60, 0x4ac1ad7a, 0x60b85a54,
+    0x64ea5340, 0xda317137, 0x846bc6b9, 0x36bbe6f7, 0xd7c58548, 0xe4bfc33f, 0xc4277c11, 0x400150ab,
+    0xb10c2c58, 0x06514174, 0x698e8ddf, 0xdfd449f3, 0xd50d50a9, 0xb6a5cfa7, 0xb5e353ca, 0xa399d189,
+    0xac4f0149, 0x5cedb4bd, 0x0410297e, 0xa0558e09, 0xc510d01c, 0x187cce0c, 0xc4603846, 0x5f2aa5b2,
+    0x7702332a, 0xe0186aa4, 0x8a0e3cdf, 0x30b0566b, 0x9c320ea8, 0x67371a4f, 0x69ab9d79, 0x357d4d08,
+    0x4355dca8, 0x763ee245, 0xcf77e472, 0x3cfd9584, 0x9f621cd5, 0x8ffdac22, 0x02876f5d, 0x31389438,
+    0xc2387187, 0x83a268b6, 0x081554e9, 0x5dc14f85, 0x4f2311e2, 0xa0b49d00, 0xd90799a9, 0xa7ae2000,
+    0x6d3a0739, 0x21ff1352, 0x49afc4fa, 0x48dc43d0, 0xa6c8bc02, 0x5663f5eb, 0xc9fd8400, 0x576b4cbc,
+    0x5e002e6c, 0x097b0369, 0x2fd933c0, 0xdf81829e, 0x76dadcfe, 0xaea33300, 0xad24c93b, 0x7ea29316,
+    0x381db9d7, 0x7bac3571, 0x2b888ad8, 0x5434f1cd, 0xdb9610a4, 0xf0c24295, 0x180994fe, 0x16ec0e99,
+    0xd3409afb, 0x6eaab1ce, 0x2800ea06, 0xa9c89131, 0xe738de69, 0x1fc9cb5c, 0x9553afa4, 0x8e3bbfe4,
+    0xc82eb881, 0x911f3105, 0x746f6ddf, 0x12dc7141, 0xd40da993, 0xed43b7b0, 0x4e9d71dc, 0xa6097b2b,
+    0xb0196f13, 0x358b39cb, 0xfb3f4ca4, 0x776f136d, 0xf6892681, 0xa09d7179, 0xac76ff17, 0x647d67e8,
+    0x80a17ae8, 0x79fdfa1c, 0xb575b9fc, 0x1212dec1, 0xa3489210, 0x78a21f1f, 0xd4f0190d, 0xeaafa1fc,
+    0xd7e4cd7d, 0xac8ef183, 0x03b43a14, 0x00de5ed5, 0xd20c8199, 0xb991baff, 0xf6ed4868, 0xa79e5949,
+    0x1eb93ffe, 0xb964d47d, 0xcf75abaf, 0xbc043a9e, 0x9ea79c86, 0x6a7ca1fb, 0xe88093c7, 0x6d0b5897,
+    0xdf396f74, 0xf3179dc8, 0x34d38451, 0x8b79a36c, 0x76a24fa2, 0x7712edcf, 0x2e06f0f7, 0x74562aec,
+    0x69aff45b, 0x7325d21a, 0xfe8d918a, 0x512ed442, 0xf238ec85, 0xe5da794b, 0x0b3fda3d, 0xccac98a0,
+    0xf827cdc6, 0xe45de9f0, 0x6fb4b41f, 0x3f69980d, 0x3d676103, 0x37bca13c, 0x8476ae34, 0x5151b27b,
+    0x615e7000, 0xbf467b25, 0x2ab3a72a, 0xb61231a5, 0x831df39e, 0x9b8a1e3d, 0xc367695c, 0x130412df,
+    0xde2c34f1, 0x7f2ba692, 0xb5ec7d30, 0xecf54467, 0x0e0bc729, 0xbe88b461, 0xaa04b4ed, 0x41783870,
+    0xd4bd2ba3, 0x1e5147d3, 0x9b26b848, 0x1ac71364, 0xfeb7d349, 0xcdac9c20, 0xf2063a85, 0x85ff927e,
+    0x59161569, 0xe1e7e08b, 0xb8fdfc66, 0xe27b54bf, 0xa906ae68, 0x59de7c60, 0xea609cef, 0x50871556,
+    0xd829a47a, 0xc3f20e67, 0xd5b4a793, 0xd7e8432a, 0x6f5ba8a7, 0xc6123a30, 0x6573cc43, 0xaaa44ae1,
+    0xac8ea993, 0x1bd025b6, 0x89fcbf49, 0xa02636e0, 0x10da5be1, 0xd023c3bc, 0x2701e335, 0xf409b4bf,
+    0xccc96dec, 0xf89a2124, 0x3ad667bb, 0xcc39363b, 0xf4c236d9, 0x82157b51, 0xc354c02d, 0xa9bc3266,
+    0x36e6f2b2, 0xf7ea7f00, 0xb083627a, 0xaffbeb4c, 0x7f769158, 0x2c692b7b, 0x52bc118e, 0xf8f73e19,
+    0x33967df4, 0x6acba21e, 0x0c5213d0, 0x9600b71f, 0xd86daceb, 0x98e6534f, 0xa06f245c, 0x8bc17034,
+    0x4c97b17b, 0x925574ab, 0x465149db, 0x62978dee, 0xc5f0294a, 0x4880a106, 0x40273d00, 0x69392c6d,
+    0x29e12436, 0x848a5d68, 0xa8f74c8a, 0x3a16ff6a, 0xa2615fbd, 0x9605cc43, 0x466b948c, 0x6a2d8afd,
+    0x5389099b, 0xe440d24f, 0xccf02a5f, 0xcd22253d, 0x90231066, 0xf3edd5ee, 0x0d7aa267, 0x91a02d6e,
+    0x9c573648, 0xcb2d99b3, 0xe56e63c0, 0x1e0185b4, 0xb837663b, 0x616ed2da, 0x8d6d9494, 0xbc383f52,
+    0x91965a80, 0x0b38e61b, 0x29c3266e, 0xf184236d, 0x2b1508d4, 0x264335f6, 0x2c7d0d07, 0x390a6d6d,
+    0x9352d209, 0x395bf238, 0x3fecd4cf, 0x9467a64e, 0xd7115f69, 0x5a2090e5, 0x13a0dd87, 0xe6f091ae,
+    0xc7781c49, 0xd7b6193c, 0x63340a73, 0x358b33c1, 0x0a72f5ad, 0x2c2227b4, 0x4ba42b35, 0x26dc79bd,
+    0xa750f1c9, 0xb20066b1, 0xb4bdd33b, 0x4e84e63f, 0x48c20e94, 0xc78e9a74, 0x45a010b0, 0xa1f66a05,
+    0x124dff7a, 0xf20d66e7, 0xf37fcb96, 0x3a5fca2c, 0xaf755447, 0x43356cfc, 0xeecb5d07, 0x1198316a,
+    0x6ee07a91, 0x9f176a32, 0xabab5ed2, 0xa8039ed1, 0x8f45276d, 0xebb376f9, 0xf9cb5d09, 0xdfa11fc0,
+    0x4e9e936f, 0x5e748c51, 0x4d9f8538, 0xd372e369, 0x8787fc12, 0xe23be2f7, 0x2290d2fd, 0x6ab8b7d8,
+    0x6d0eefe4, 0x592a648a, 0xdcec8ec3, 0x307f7bbb, 0xf4566623, 0x5a0a2b3c, 0x083c97e5, 0xa852176b,
+    0x1d8093c0, 0xd98a3325, 0x0d6ae072, 0x059e32bf, 0x8a735ac7, 0xb68c903b, 0xe674d5e8, 0xf61d4f35,
+    0x1b109d85, 0xb5a55a4b, 0x438b4f53, 0x8a8e9b9c, 0x6af32a86, 0xb13e5e80, 0x6405fd1d, 0xe4c9dc2d,
+    0x70e787ea, 0x06f9237f, 0xafdc3dfa, 0xe11ca742, 0xbd4e4735, 0x68a24396, 0xec7d09aa, 0xdc6b7517,
+    0xf5d2b726, 0x1aeb1f27, 0x59e07ecd, 0x587b59e3, 0x731309a7, 0x6d4d785a, 0xc38b9f00, 0xe766ec38,
+    0x95a0416d, 0xa506234f, 0x409b334b, 0xbbe6c1fb, 0x49c1fdfd, 0xbc13107f, 0x4fa4dafa, 0xb4ed1eef,
+    0x5f16384b, 0x9c39cafa, 0x4e142c6e, 0x270f3aa3, 0xed1de3f5, 0x175f2a20, 0xe5d149df, 0x71acb2e7,
+    0x2b032d71, 0x54fd9f83, 0x3727273b, 0xc3611fd4, 0x7c271a10, 0x3af299b7, 0x294d0175, 0x98a4219c,
+    0xe9579e71, 0xf3af43ec, 0xda4c0863, 0xa3d7352b, 0xbcb9e908, 0xa2f31b75, 0x6e60e601, 0x82300b70,
+    0x5b71a0ce, 0xf97aad1e, 0x1ca13d2e, 0x74940af2, 0x50ded1be, 0x6c3ce797, 0x58a0a2eb, 0x5bcd3a7a,
+    0x567f0f07, 0x933fc184, 0x831cb090, 0xa0ac054c, 0x2fb4a17c, 0xdcef14d1, 0x585749b7, 0x37edf215,
+    0x719edaa4, 0x5b64bda0, 0x65b6ce57, 0x41ab3251, 0x399e3e3c, 0xed6bf2aa, 0x523358f4, 0xa2f253fe,
+    0x55ba28a9, 0x14d1b37c, 0x9c156535, 0xfe7e6020, 0xfb70cd5e, 0x97c66769, 0xac49d822, 0xf26addd7,
+    0x9dce3c18, 0xd30e92d6, 0x81540203, 0xa5681644, 0xe591672d, 0x5ebb69b6, 0xc06ec247, 0x1a4de679,
+    0xfa152e75, 0x3a38e52d, 0xde6a9132, 0x82adf02d, 0xb902fe12, 0x81cacfc8, 0x30b4f98d, 0x8592a552,
+    0x37ba3eab, 0x52fdad2e, 0xbd4ed3c4, 0xfd64f860, 0xf81f67b0, 0x4a5b9276, 0x5c26c77b, 0xb1fbe3fb,
+    0x65e76537, 0xa1438e23, 0xdb9d90f4, 0x53324c9a, 0x0b51c643, 0x28e7abb5, 0x3306f95c, 0x5918b8d3,
+    0xfdc25912, 0x78d9038e, 0xf4cbc082, 0xd4aad0e0, 0x436b0813, 0x36bd0464, 0xf1a52025, 0xbf633804,
+    0xc65c1d40, 0xaa70edd5, 0xb07f14a7, 0x44817979, 0xe9bfee7c, 0xea37f758, 0x4e3d0fa4, 0x1ed57e59,
+    0x48dafa0e, 0x22d00afd, 0x40e279c6, 0x868035e6, 0xb8ba8ba3, 0xe4101793, 0x5131ac5e, 0xc8bfd946,
+    0x43ba96c9, 0xdf9b4d83, 0x3466a840, 0xe7419396, 0xdb1c1444, 0xb8982fa4, 0x0de3eda7, 0xc2346350,
+    0x46018681, 0x511eed62, 0xf01e28a8, 0x16521d41, 0xab69d897, 0x89b15e43, 0xc8f5a65a, 0x987820a8,
+    0x71b9d2e1, 0x6a545dac, 0x35ff963f, 0x9fd6c4ca, 0x55015b3c, 0xdfd65440, 0x33c65296, 0x78afa73d,
+    0x22af2149, 0x17a3e2ea, 0x59c0c958, 0xb29d58cb, 0xeb6cdbf0, 0x1bf99653, 0xff46ad31, 0x7d9a9d83,
+    0xf96c5a2a, 0x9db3b132, 0x676c0e4a, 0x7960465c, 0x3c1bb568, 0xb8c98c12, 0x9f200bd6, 0xc749ffa2,
+    0xc73de245, 0x6f4ac706, 0x0a8acac4, 0x932c9490, 0x429c64dd, 0xe1c3fe3d, 0x8919a04d, 0x342773e3,
+    0x63addf69, 0x5b8116bf, 0xe3c95d9d, 0xfcbebf0f, 0xdbb526c2, 0x84dcbb5e, 0x63d4d08b, 0x3e3d7acb,
+    0x62dffd72, 0x4c91dc25, 0xbb4be765, 0x0f2565a4, 0x0e12d1e7, 0x2239896c, 0x9576b27c, 0x2f0a3bdb,
+    0x5141e6ba, 0xfcf4c848, 0x43b56ce2, 0xe78a893d, 0x0e968106, 0x722c002b, 0xa005b8f5, 0xc23b58a4,
+    0x0f9b3f22, 0xcbebcffe, 0x59f45982, 0x6bcd64cb, 0x3b7c22a0, 0x51fd4228, 0x16e67558, 0x88820c3f,
+    0x730b0fd6, 0xad1a6601, 0x78aab19d, 0xfff82713, 0xc7641e0f, 0xb27d825c, 0x4558e0e8, 0x51346e1f,
+    0x734cbaa9, 0x04a5fff6, 0x609e71dd, 0xd7f0c45f, 0xc1081cb4, 0xa06c92be, 0xb5a04f9d, 0x27272620,
+    0x3521b97f, 0xdad21312, 0x5f4b4ee6, 0xd50c9669, 0x37f0b061, 0x6849ff2b, 0x3f91d83b, 0x70001071,
+    0xb102759a, 0x019af404, 0x03321d57, 0x04e29e39, 0x55fe6a1e, 0xcfaa2e6e, 0xe80fa1c1, 0x62ab0697,
+    0xcffa98dd, 0xc1361741, 0x019f5aed, 0x8c8f2bb1, 0xdca5586d, 0xded41309, 0x59d1f546, 0xb8c05c11,
+    0x67bd4bd1, 0x4cd690df, 0xf998d2fb, 0x39d1cdd7, 0xc6bf4ead, 0x2985a7a5, 0xe248b4f2, 0xff28fc31,
+    0xee19d5b3, 0x371375f4, 0xfe8e56a5, 0x6e2fd47e, 0x8bc18a85, 0xf3b44d8e, 0x38247342, 0xf2553abf,
+    0xa0ebe312, 0x20a5f49a, 0xae1dd591, 0x310bafab, 0xe163858a, 0x0013302f, 0x08ef01eb, 0x10bfbeb2,
+    0x8cf4fcb3, 0xbe5cc442, 0xd33d1b26, 0x6d64aab6, 0x6ade39b5, 0x95d86731, 0x00b56cab, 0x3403e33e,
+    0x2647d66d, 0x0cad91c1, 0x8b9a918f, 0x28c2ed5a, 0xdc10a338, 0xe0fe4118, 0x5afd850c, 0xcb9747ea,
+    0x5206cdb0, 0x12295bf8, 0xa4622b82, 0x75dfd462, 0x95e77f4a, 0xd6c891e0, 0x3c9b1edc, 0x577374e2,
+    0x4a44869a, 0x9607b8ce, 0xd2fad94e, 0x7f23871d, 0x0d0dd730, 0x4544cdf5, 0x7f491c04, 0xbea9a6cb,
+    0xf43aadb0, 0x89d397ef, 0xd491876a, 0x38cab559, 0xfd683283, 0x274e57db, 0x87fd78dd, 0x8809ad09,
+    0x647e27d1, 0x0e26121e, 0x62b9ef44, 0x410d14b3, 0x4b752acc, 0x273cbceb, 0xa795c078, 0xf25e69ea,
+    0x03ff67bd, 0x0ad2e060, 0x2719d660, 0x78a76879, 0x778a82a2, 0x96ab46f1, 0x3ae9fb76, 0x70e818d2,
+    0xd08c7a2f, 0xceccbff3, 0x5153c977, 0x62f2c32a, 0xa9d50eda, 0xb0ec82b5, 0xcac3dff0, 0x0416bc25,
+    0x6e1cba8d, 0xb4f28fcb, 0xa72c788b, 0xd2aa7a21, 0x7bb99e9c, 0x455058c2, 0x9691c8e3, 0xb3a6dcfb,
+    0xdc4a29ca, 0x33f71407, 0x9827bca0, 0xaba0d9da, 0xdb412707, 0x778a50ef, 0x619c80c3, 0xef9c8625,
+    0xb950de2d, 0x8acc6488, 0xedf9be9e, 0x71a3bdae, 0x08f0cd2b, 0xf9159a15, 0xbbc8b6f6, 0x968c50e3,
+    0xad6807bd, 0x59d528a5, 0xbdb049fe, 0xb05d64ef, 0x5163f914, 0x692003f4, 0x83488483, 0xedfa4f22,
+    0x537562d8, 0xea1dadc6, 0x18dac8c5, 0xe45ad16f, 0x43346514, 0x11bd8296, 0xe4ec47a6, 0x31036385,
+    0x9b9d914c, 0x54648e33, 0xea29c8fb, 0x1f6b9084, 0x4b519b05, 0x6bcca9e9, 0x69b95996, 0x86f120b4,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000102844034832575377634685573909834406561420991602098741459288064 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd9, 0xd6a748da,
+    0x00000000,
+    0xa1abccf4, 0x9108f196, 0xa863e8d9, 0xedc3d11f, 0x55481f60, 0xe30873d7, 0x14275a97, 0x0e815cfa,
+    0xcfddc729, 0xe5220c73, 0xdd6a6b5c, 0x44832710, 0x6ea2a1c3, 0xddc56b20, 0xd897bd67, 0x8bb25a19,
+    0x524e72e0, 0x2a7c9bc2, 0x0fc06407, 0x0e341127, 0xafecce31, 0x7944f6a6, 0x481c192d, 0xe3211903,
+    0x39160431, 0x553b6a90, 0xa8b06710, 0x7ccf8dc6, 0xd86fd4d0, 0xa5e04b16, 0x2e01855c, 0x530ee552,
+    0x6953b799, 0xd3a872a3, 0xb38d2902, 0x6f21d417, 0x53965413, 0xe7624f58, 0x6b6c45b9, 0x27a1f57a,
+    0x832b5a00, 0xbd6a4f8a, 0x8e166581, 0xb48abfdf, 0xcb799947, 0xd7052dbb, 0xc4dba347, 0xc320665b,
+    0x19ee577c, 0x756d6398, 0x166f61c7, 0x8006ecd2, 0x43851216, 0x582b9972, 0x7ca765b5, 0xca53f71f,
+    0x78c6ed14, 0x77b7e9e9, 0xf4f51dda, 0x5030b7c5, 0xa7b1b366, 0xdde9e817, 0xd21814c6, 0xced02750,
+    0x01595ad1, 0x6ce208f0, 0x90848749, 0x60b88100, 0x968dbe9c, 0x8aecb5c4, 0x4cec0152, 0x09e6916c,
+    0xdc1328ca, 0xd65c27cf, 0x340117f5, 0xe32602b5, 0x7eb5e50d, 0xf6af8d5c, 0xa9b4f4fb, 0x170ed01a,
+    0x1c8260d4, 0x6a0ec2b3, 0xf257207f, 0xa7d440e8, 0x7b73c2b6, 0x0d25eaaa, 0x0c00ba8f, 0x968e062f,
+    0xe2ebf853, 0x6eeca09b, 0x7101d9f9, 0x13c7b4b1, 0xbf5a955e, 0xa4ad7946, 0xdfe28aa2, 0xb05f9212,
+    0x6e54cd69, 0xb1e4a0a6, 0xf4882ffb, 0xbc856dad, 0x701f147f, 0xa1713644, 0x8e7cbf53, 0x83b7665d,
+    0xdb9cef5d, 0xe7271b89, 0x3ec57346, 0xbf2943ba, 0x9ecc3803, 0x4e85b5f4, 0xd9b9b1dc, 0x4cbb2e5c,
+    0x6b811875, 0xe75d0089, 0x6a81b1a6, 0x9b9a3db1, 0xf467b67c, 0x53461ea9, 0x75a4f3b4, 0xbb0ee93f,
+    0xcf9105ce, 0x151ebfb7, 0x9f06c562, 0xd8fc232a, 0x65748728, 0xd316df54, 0xead195c7, 0xc4947b0c,
+    0x45ca5587, 0x0a7449bf, 0x5d2782ea, 0xe44b4584, 0x31f4ec93, 0xb763d87e, 0xfbcbdb18, 0x62cc9209,
+    0x4c997999, 0xaf5e1f12, 0x8fe91027, 0xe3c2eac3, 0x3c88823b, 0xefc9f2cb, 0x7fcdfbb5, 0xd5940162,
+    0xafe72d18, 0x5aed5cc4, 0x6830a6c7, 0x38a198c5, 0xf04e1776, 0x0e334a2b, 0x4feddd75, 0xc18bc348,
+    0xbfeef5ca, 0xa756ee23, 0x5df214c0, 0xc91dc56d, 0x5f30d571, 0x99cd6f73, 0x8b1297e5, 0xa5e49189,
+    0xb5d04f6a, 0xd83cc033, 0x49fa8eb9, 0xb62f4255, 0xc6eff791, 0xeaf71793, 0x6af0a4b3, 0x72ac3e25,
+    0xebdd8a0d, 0x8afd7dbb, 0x0afea22b, 0x05a8b117, 0x13e61103, 0xcede42e3, 0x03207211, 0xb79a7b8c,
+    0xa7b6b585, 0x53dc8316, 0x91ec28cb, 0x1dafd992, 0x1f13dde0, 0x3942fae9, 0xd17f6528, 0xb50aa89b,
+    0xfbf8d5dd, 0x5dfa81fe, 0x6f1ec478, 0x932c233e, 0x41c37abd, 0xa98cf5e2, 0x1529455c, 0x9fdc59f1,
+    0x705bb407, 0xc27ce6a2, 0x94b8c3b3, 0x28f30c4a, 0xfe4f2a89, 0x6ae236da, 0x5028921b, 0x2bfaca21,
+    0x9519f11f, 0xeee19e3e, 0xa4209edd, 0x5d7093e5, 0x25cbdeae, 0x2049d30e, 0x99fc447a, 0xdc704825,
+    0xcfb41e5a, 0xcb01c1b4, 0x603c6a6c, 0x9ec4c276, 0xd734fc75, 0x03de9d2f, 0xabcf8f5a, 0xf01598b1,
+    0xdbc4be6b, 0xef49d400, 0x2cd7856d, 0x36a3918a, 0xeee56349, 0xfbd86218, 0x0376c9a0, 0x4e48cf6a,
+    0x1254e4c4, 0xfd5a62bb, 0x84cea859, 0xf9b08132, 0xfb6b2093, 0xa511a779, 0x99372088, 0x25af3c46,
+    0xe9e1dc17, 0x55451d6f, 0x7a3240e6, 0x9dd79d56, 0x84132341, 0xeac2d99f, 0x31425937, 0xff6c35ac,
+    0xd1796aef, 0xae87fe51, 0xf35cd9a1, 0x193e8669, 0x06da0c86, 0xfb8299b2, 0xceacac6a, 0xc1fdc05a,
+    0xa3b0792d, 0xec2bb0b6, 0xa3e67981, 0xd2f02927, 0xfa453b2b, 0x457463fb, 0xaafd0dc2, 0xa33390a4,
+    0x052eece1, 0xde3e030d, 0xef2a3874, 0x7b3712b0, 0x22c05d0e, 0xbcb87a42, 0xd8d8225d, 0x7919af59,
+    0x93a9e47c, 0x0be03804, 0x621dda8c, 0x55dd2f99, 0xa90b6cba, 0x6794a26b, 0xb28485ab, 0x0c5140d6,
+    0x2ebbc83f, 0x9d097214, 0xeaf1572a, 0x21903b78, 0x3b28f9b8, 0x643e60a9, 0x0c8dc0cf, 0x70d9faf9,
+    0xec6c75d3, 0x8660e297, 0x0a3cd243, 0xb29da744, 0x30f40dce, 0x2676ab68, 0x57a40d34, 0xc6188723,
+    0x5ea13dbb, 0x2c22d89c, 0x1f303373, 0xa0e8d967, 0x9e22c1ee, 0xcaa04675, 0xde253a0e, 0x8b1cffb5,
+    0xaa31d08a, 0xb89cfda1, 0x6f643579, 0x2c890730, 0xbb60b1da, 0x56ef269e, 0x9826bda7, 0x1600a561,
+    0x2a8c5787, 0xb25960af, 0x89435e22, 0x94f563ee, 0x707a2a34, 0xe8fde734, 0xa200e3ad, 0x4e918885,
+    0xae6bfb0e, 0xbf734864, 0xb993b7d1, 0x9779c8d0, 0x479c89a7, 0xcffa1357, 0x4f9a877e, 0x9daad905,
+    0x530dccac, 0xa48102aa, 0x42e069c8, 0x03d53ee7, 0x6611f695, 0xe6ef93d1, 0x3cb0577b, 0x3ffa1f9d,
+    0x8266e9cf, 0xd3d48cbf, 0xe66d5b62, 0xe2dbed1f, 0x922e4ade, 0x6fb0a0d9, 0x1c8f5e2d, 0x5f2d1c6c,
+    0x1c487e6a, 0x83ae1a92, 0x8d42fd23, 0xd0a674f2, 0x9d1de658, 0x878e2542, 0x408e4a45, 0x66df4970,
+    0xe7965387, 0xe457641a, 0x4556459d, 0xa1ff432f, 0x84d273f9, 0xb4ca3c34, 0x5b52cc98, 0xa6e51854,
+    0xcbb5b3c1, 0x32cf3b58, 0xd51c2704, 0x216801ab, 0x062dbdae, 0x14ba4d96, 0xb5d5111a, 0x6c9d25eb,
+    0xf8489435, 0x53e84c15, 0x61ce3e18, 0x88a55c07, 0xc730ebe0, 0xb52b71a2, 0x7eb488e0, 0xcc431080,
+    0x6e33d424, 0x3d772293, 0x7dbc7784, 0xaf81a6af, 0xf23354ec, 0x8cb24100, 0xc6b23bae, 0x70901397,
+    0x8970fc44, 0x54d5b59f, 0x4bb43cff, 0x61bae581, 0xe2c0ed06, 0x81f0772e, 0xd8faa9a1, 0x94f93a4d,
+    0x687e28cd, 0x56a3530a, 0xef6a8070, 0x495ab0c4, 0xfd0e5bc2, 0xc101dff3, 0x04e6b4bb, 0xb499c23c,
+    0x475044cc, 0x956b1334, 0x606bdc7b, 0x77f8843f, 0xad5d3649, 0xa5c80177, 0xa4463ae8, 0xe544d843,
+    0x5a5d7341, 0xe3158d2d, 0xa1377951, 0x827ac1a0, 0x72fac63e, 0x99e945bd, 0x5e0e1f1f, 0x6e3dc684,
+    0x0d9de57f, 0x384b8f91, 0x9ad5ef31, 0xdd7e0e30, 0x251c7921, 0xaadf29ed, 0x333469c0, 0x07249402,
+    0x3887c6b8, 0x3755ad2c, 0xe963249c, 0x78f1cc33, 0xebb9f79b, 0x2f60726b, 0xc7de66c1, 0x10ca7bc8,
+    0x24ff5533, 0x7e4c7806, 0x20dfd810, 0x0a9e0473, 0x703739a9, 0xe1de1c2c, 0x755ccd32, 0xa2e25221,
+    0x9258aed6, 0xa6c37288, 0x0d134fc2, 0x3a6ac8d4, 0xf5943877, 0x49b57606, 0x0a78e092, 0x259289cb,
+    0x61b8ab65, 0xb5811579, 0xcc993682, 0x5b416e80, 0x06414b7c, 0x103293fa, 0x7f5666c5, 0x7ea5c539,
+    0xbe97fd47, 0xe4d2dc31, 0x2ff9a07e, 0x2f6a1e83, 0xc182a899, 0x1279a93f, 0x9fa6373c, 0xf6a85bbc,
+    0x8676b093, 0xda73b097, 0x53f1a1ec, 0x959ea418, 0x4c2645f9, 0xd6f8df58, 0x0806d308, 0x30344db4,
+    0x4038a33d, 0xaab8c544, 0x2c47aced, 0x421c28bf, 0xa4a7e382, 0x526bb4b3, 0x29ae1c8c, 0x78738433,
+    0x39573c44, 0x5bbb5d1d, 0x24490424, 0x7520a198, 0x23f15168, 0x9d314aa5, 0x1cf27bcb, 0x84e65d59,
+    0xba4ef2de, 0x06d42059, 0xf002c96a, 0xeb296b33, 0x7a31f31f, 0xb3f3a706, 0x1ccf1c59, 0x28fddd80,
+    0xdffd923c, 0xc93e9a15, 0x239ba047, 0x87f3df0a, 0xaa364912, 0xd8d52b5f, 0xe3858d8b, 0x8cba746a,
+    0x124f77b6, 0xb254333a, 0x99c27785, 0x6e023c21, 0x955ebd12, 0x4d2f86ef, 0xcb3dda9d, 0x5cbce9bd,
+    0x5f628b0e, 0x49dd6e81, 0x12e86198, 0x1baad6c1, 0xaa7a3aea, 0x1fabbee1, 0xd5b9d354, 0xf8985658,
+    0xbac824df, 0xd8e540cb, 0x2ffe72d8, 0x553783c1, 0xe4252af7, 0x70af7b5a, 0xe81f9845, 0x73b569be,
+    0x2fd1a4fa, 0x9f955175, 0x025b3834, 0x752417e6, 0x215efa36, 0xaf1aa28c, 0x5a78107f, 0x21e5f07c,
+    0x31448cb6, 0x5577ab64, 0xb925ee83, 0x436ff6a2, 0x7f225d4b, 0x8f1e1a34, 0xbb351c03, 0x2c21192f,
+    0x070577c4, 0xab42ad7c, 0xea6a22c2, 0xedd6320b, 0x5d7a8dcb, 0x9add9390, 0xddde57df, 0xf28e047c,
+    0x864971e6, 0xb1b54123, 0xdacfe75b, 0x46f19cda, 0xe8445653, 0xab1132b9, 0xefb94479, 0x59f1871a,
+    0xd6c5ea47, 0x8b32b004, 0x58fc2ad4, 0x5f26bd0e, 0x4f937a46, 0x4e5978c6, 0x40803de8, 0x101bb0fb,
+    0xe72a71e7, 0x8b92c211, 0x57f29fb7, 0xf6687594, 0x629f730d, 0x056344f7, 0x3a603798, 0xa6c7df8a,
+    0x845156ed, 0x48f6f977, 0x4efe218e, 0xf3365ea9, 0xcfbf7742, 0xa966b180, 0x30b21389, 0x1e445182,
+    0x5660f182, 0x0003a207, 0xf6d17a8d, 0x2d01c9ab, 0x10f73593, 0x42a16674, 0x1e588543, 0xdd76d1e4,
+    0xe0597cc4, 0xd49aa182, 0x4bf94bb9, 0x5240bd4d, 0xea456c8e, 0xb581dfde, 0xcdf753c0, 0xc7ce2c4f,
+    0xb0fe4b96, 0xbd0691bc, 0x30be9eac, 0xd73d5b74, 0x1afb9daa, 0xbf44781e, 0x6c67b5b5, 0x99a0ac38,
+    0x556772ef, 0x1f9ffa8e, 0xf1794b25, 0x24923fe7, 0x30f72367, 0x1c31acfc, 0x1ca2e889, 0x895348f1,
+    0x23e18cef, 0x0147bee7, 0x9f3c0185, 0xf59c6840, 0x0ecea045, 0x635b9c72, 0xd88353a4, 0xa4c9621a,
+    0x21e7ff7d, 0xa4600035, 0xd18d5f7d, 0x39600f8e, 0xc2c596c5, 0x54dea529, 0xe82658a4, 0x29cf2d78,
+    0x439f2676, 0xd87863a4, 0x98699ddd, 0x43d2e957, 0x636328d5, 0xe05da344, 0xad675594, 0xd5b4228d,
+    0xc43f4957, 0xcad57f71, 0x8254db8d, 0x75517887, 0x2d002fc9, 0x0552d9ab, 0x52e4c7a6, 0x1c0d0ce3,
+    0x252e9b59, 0xbdc0af37, 0xe92e9d58, 0x6fc24ee0, 0xcb6a2c4f, 0x7738c9c6, 0x49a9e57e, 0xdc52c0ed,
+    0x24384c19, 0x42df22f7, 0x433b638e, 0x8a67194d, 0xfdf4fdf7, 0xba555f7f, 0xe79bc6a3, 0xaa08779a,
+    0x170f5b08, 0x5d4260af, 0x841bee13, 0x7bd88c80, 0x676489c5, 0xdc2f4b43, 0xa471b006, 0x91043705,
+    0xc3d84b58, 0x7c77d5f6, 0xe850e1f5, 0x072de51a, 0xb8013768, 0xf8478a96, 0xacc89112, 0x82612a3d,
+    0xe5f2ca34, 0x0cc7fed1, 0x79029cc0, 0xd2fcf693, 0x4dbfe9a7, 0x67b72088, 0x1677cafd, 0x145a5365,
+    0x08eab531, 0xd3dfb24d, 0x9c519da2, 0xd6d0d210, 0x91bf44fc, 0xe87ed815, 0xe56ee7fc, 0x424822d8,
+    0x2cdf4e7b, 0xe8b2cc90, 0xb159f020, 0x8fb49129, 0x6161b7a2, 0x0de7d551, 0xe4074d7a, 0xe0c25b2c,
+    0xc57649f2, 0x277fad78, 0x6c187317, 0x5de7d015, 0xe4eec076, 0x1a663427, 0x42b23b7a, 0x4d6121d6,
+    0x3b407269, 0xdc068c64, 0x173f8f38, 0xcf126195, 0x86d67e93, 0x2ba88840, 0xd44ab11b, 0x49160443,
+    0xfe766788, 0x4809b78f, 0xc9dcd0d1, 0x56d0afc7, 0x6c0d0c90, 0x26e73c15, 0xa6d7fa68, 0xcec8afc1,
+    0x8342bf2f, 0x3add9e21, 0x63b6cf86, 0xe46de207, 0x390fed18, 0x7865e318, 0x7a8f0288, 0x879cb3ef,
+    0x35427748, 0x1ce89ce1, 0xe7eef936, 0x432452f7, 0xbe474576, 0x786fc4cb, 0xcc8dc18a, 0x53c6888d,
+    0xbff3e2cd, 0x081b6c8d, 0x2c112bfa, 0xef583584, 0x2d0a1fed, 0x0910b056, 0x6873f5bd, 0x71e78cd7,
+    0xf4c6082b, 0xd02e7c94, 0x4094a3a3, 0xd6651923, 0x90bed77a, 0x6eef20d5, 0xd5dbfe58, 0x5758c531,
+    0xb639fd7e, 0x4f7709a3, 0x0ffbff1c, 0xcc5673f9, 0x22f05a40, 0x2cdc27ec, 0x30f5f374, 0x1c124348,
+    0x335cd236, 0xbd0d4a0d, 0x7f627032, 0x0b05f166, 0x1a14406d, 0x1512ba12, 0xecf6ed02, 0x63bbec89,
+    0xbeee6a81, 0x3a82f7a2, 0xd65b3182, 0x15999048, 0xdc9d6e86, 0x467b409f, 0x03eb5ad1, 0x8ecd015d,
+    0xcda6e4c9, 0xcc556b42, 0xe16b70a7, 0x8381a176, 0x25ae7a76, 0xadc9feb9, 0xd1c328a2, 0xb1e10e42,
+    0x52579d4a, 0x85089534, 0x622702e5, 0x856689f9, 0x35f73e61, 0xe8ea2824, 0xfa58722e, 0xaa69397d,
+    0xdf890de5, 0xe1b1488e, 0x4897899b, 0xc80686cb, 0xab282c70, 0xbb5c0adb, 0x0dc8275e, 0x9aa1825f,
+    0xd17fed5b, 0x89565ded, 0x31409c5b, 0x4d0699f1, 0x1c555f96, 0x76ee916b, 0xfaeeacd2, 0xfdb4a4de,
+    0x9b8d2cd3, 0x26501ec1, 0x4d9f8939, 0x24af1082, 0x2ed825a9, 0xbf5d46cd, 0xc716f992, 0x9d6f4175,
+    0xc1cedeb1, 0x722de7d0, 0x2809fe2c, 0x5393fd64, 0x629f4c7a, 0xe79e88f4, 0x779998e8, 0xb942962a,
+    0x9d6444ec, 0xffa478cb, 0x46d46619, 0x6299bd19, 0x5e77b8d4, 0x7735d057, 0x7e561def, 0x23c538c7,
+    0x33d62b03, 0xececf326, 0x87fdba41, 0x47fc9208, 0x75a931fe, 0x8083e7b4, 0x2b1bade2, 0x12b24293,
+    0x99d175d7, 0xce845943, 0xa27321d1, 0xd0ee2035, 0x5579cbe8, 0x00ab922a, 0x1c2c5f9a, 0x76771245,
+    0xd83ade69, 0x7d70e0f7, 0xeaa4b0ba, 0x6160a923, 0xa35e770b, 0x75dc0127, 0x6d9f0fee, 0x2a0af32a,
+    0x98221a04, 0x0a5277b9, 0xbe9b0128, 0xcc618c70, 0x1b42ebd4, 0x679e1991, 0x1c0ae04a, 0xcdc7af86,
+    0x296a6801, 0x5ee8bba0, 0xdfeae9da, 0x079f8bf9, 0x13e1ff21, 0x79980511, 0xeaab38bc, 0x34e4d6ff,
+    0xf54524ce, 0xb39f901c, 0x003d6c52, 0x2f826c54, 0x65a6c4cb, 0x9ad0cfa4, 0x52e5fdc9, 0x5053dfbb,
+    0xec8e285c, 0x1767b3f4, 0x5c2f3bc0, 0x06735838, 0x9e312b2b, 0xbcb98b41, 0x80def8e4, 0xad8926d8,
+    0x3195fbc0, 0x2cb2d642, 0xe73e7127, 0x80c8a876, 0xb0e75f8d, 0xc24e65c3, 0x9a8602c8, 0x06badb8f,
+    0xc2249a49, 0xec1a8171, 0x187e11f0, 0x89e95ba6, 0xc3137ab3, 0x1de4397b, 0xd1202fd1, 0x63e0b3f4,
+    0xaff106a1, 0x44727b3a, 0xe29a3615, 0x46c7c3a1, 0xf94d2e5d, 0x73e5a4c2, 0x8423a48b, 0xbbe97e15,
+    0x2cfcbbf6, 0x40326b94, 0x771bcaa8, 0x995affad, 0x37e0a82d, 0x075e0810, 0x3bbe698f, 0x6ba99889,
+    0x26321722, 0x015b841b, 0x3f1c6b35, 0xae120549, 0xc2d67f19, 0x9d8f835c, 0x1489db62, 0x5de6b43b,
+    0x7dfbdf0b, 0x3013da80, 0xa28286c9, 0xceb1fb1e, 0xc005bda7, 0x88de4604, 0x61118392, 0xc14e75ac,
+    0x5370494e, 0x8183a951, 0x6fa5a5f3, 0x60ca45e8, 0x1b49af0d, 0x8e274b0e, 0x12b3de91, 0x2faf305f,
+    0x44d36565, 0xfc416d20, 0xf20ce2ff, 0x25c044dc, 0x519e6ad1, 0x6ace251e, 0xde1b7a86, 0xc5aeecb8,
+    0x0a81e177, 0xd88e8159, 0x75274389, 0x9261d342, 0x5f0bfaf6, 0xa5de3bd0, 0xf665218b, 0x18ba338a,
+    0xe8c8dd5e, 0x9b361c75, 0x47317a49, 0xd2df7261, 0xe1d6e64a, 0x96736091, 0x8a568f5f, 0xc97ab0d2,
+    0xbc3c4743, 0x3c6c17b1, 0x64362fb6, 0x4139aa6c, 0x13fb25fd, 0xc3f8871c, 0xe2a97bb0, 0xb8a20ef9,
+    0xea5c6bee, 0x5e2a8502, 0x674893c0, 0x957feb40, 0x1846c720, 0x6e765dc9, 0x32ffc2e5, 0x8faaf2c4,
+    0x952fff92, 0xd67f1578, 0x1a08bd46, 0x761155a5, 0x3bd6ea80, 0xdaa4a1ea, 0xda7d8c0c, 0x42e5ecf8,
+    0xaa599298, 0x1a8acb87, 0x8b6f0786, 0x8439c208, 0x2cf2542a, 0x96a3da11, 0x676586a2, 0x2b9bd81a,
+    0x53b95470, 0x77fb2d7d, 0x3cd2cd35, 0xa3e9e5de, 0x4fd3b4e7, 0x9c1e2279, 0x6f091bcd, 0x0aee8091,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000051422017416287688817342786954917203280710495801049370729644032 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8dec, 0xeb53a46c,
+    0x00000000,
+    0xcb709e86, 0x9a8a4607, 0xe9ea3f01, 0x0e54492e, 0xde273128, 0x1aa82ea6, 0x9a6223e5, 0x41df4ca6,
+    0x1362eda7, 0x1b0a4f72, 0xcb63cd5f, 0x4936a9d3, 0xc4bb5106, 0xb21765f2, 0x5947d14a, 0xb3168fa9,
+    0x45638272, 0xb79e1993, 0xb4a461b0, 0x590420f4, 0x959d8a8f, 0x621209a1, 0xd519b2fd, 0xe60d1f77,
+    0x5388e041, 0xfa474ecb, 0x82787576, 0x101008da, 0x1e293dd3, 0x773943d9, 0x03e9ae72, 0x4e1009ef,
+    0x82de1df0, 0x1eaacf37, 0x450a76b3, 0x301d53b4, 0xda7d90dc, 0xc13697ca, 0x742ce93e, 0xeee50d89,
+    0x3e1a0aa7, 0x7b6726b7, 0xc7fb12ed, 0x002efd16, 0xbb63e8ad, 0x650cef1a, 0x86c52a06, 0x1ec9bf09,
+    0x4fc85d88, 0x873bed36, 0x79d25f61, 0x665ca41e, 0x415983d0, 0xfceec871, 0x69fe235d, 0x0affa3ee,
+    0x5ea532d1, 0x5cf63997, 0x2d654251, 0x8f8c1f3b, 0x2003b22b, 0x75f07bec, 0x669e1b20, 0x7c3f25f3,
+    0x66a3042d, 0x5b337c5a, 0x7273ee40, 0x8b30bf52, 0x402ca832, 0x1c8de2a0, 0x48755c18, 0x37e3c897,
+    0xa8fc0103, 0x8ab1219d, 0x335cb38a, 0x00e74690, 0xa39233dd, 0xec0c18d6, 0xdf65e67b, 0x2298ddf0,
+    0x39aba2f8, 0x4f48cd5f, 0xdab653ed, 0x1519b684, 0x4aa9f579, 0x59085c1f, 0x837847bc, 0x3c4a2d1d,
+    0xf3272a9c, 0x5a07e4e5, 0x999624d1, 0x94f08e88, 0xd0b1f634, 0xd9a9021d, 0xdf5cf7a5, 0xd73097d2,
+    0xe9c81cec, 0x29cf430a, 0xe58966b4, 0xfed87e49, 0xda0f1f58, 0x2a6e1132, 0x9ffbf7a3, 0x714800f6,
+    0x04e89dcc, 0x0dbe0e8e, 0x71128b7d, 0x43a8ba14, 0x3eca2bf9, 0x33fd1ab5, 0xf3a281d8, 0xf636537d,
+    0x06d4ca13, 0xf34c5034, 0x02e582c1, 0xc6aa89d0, 0xab2a2f43, 0x79de1784, 0xff395203, 0xbb274ef7,
+    0x27ca67cb, 0x20170239, 0xd08ac81f, 0x3f9259df, 0xe3d90c1e, 0xef00b764, 0xfb3df999, 0x821fcf8d,
+    0xa289119f, 0x18f61c86, 0x1c8793e1, 0x7b0efc29, 0x38169bf0, 0x44d85028, 0xe9315667, 0xa37535f1,
+    0x59c378e3, 0x6cd8d0af, 0x5c20f586, 0x82c5f26d, 0x702e9404, 0x1f2c8384, 0x2c2a7d71, 0xdf738a1f,
+    0x14ce2cd1, 0x4f28b28f, 0xeb97b200, 0x1b759600, 0x63a525f6, 0xc327f9c1, 0xed4c5ad6, 0x01699ada,
+    0xb290d8d3, 0xf48bfd44, 0x7a30c88b, 0x3149f647, 0x694bdfc6, 0x72201a25, 0x3decd54e, 0x9f339337,
+    0xf81e4e19, 0xef07beda, 0x4b9ae80c, 0x0ea68cff, 0xf362bc2a, 0xf68a666e, 0x0352eabe, 0xf0a1368e,
+    0x193b8b61, 0x503284d6, 0xe8e8e6ad, 0xabc06b10, 0x8f280c76, 0xa430c7e5, 0xc37ec410, 0xed5619c5,
+    0xc282c5a1, 0x7bee88ae, 0xc6dd2838, 0x67a8d34a, 0x52a2c6de, 0x3f521234, 0x202b84d7, 0xc8298792,
+    0x95db6fb0, 0xbb260c09, 0x55f2f86a, 0x6e588d37, 0x12044967, 0x756d863f, 0x35efc09b, 0xa543aada,
+    0x0b042cfc, 0xae67d06e, 0x7ff8a90d, 0x9911d48d, 0x2eb4bd5b, 0xe2a28847, 0xc2448171, 0xc15460dc,
+    0x11be27a4, 0xb61ce25b, 0xbc4f8f1f, 0xddbb7def, 0xdd0d7fa8, 0xf0eec61a, 0x95159b64, 0x52c7955e,
+    0xac7883b5, 0x9e5e1827, 0x6de764e2, 0xb00536d8, 0x727ab1e8, 0x1ce58a6a, 0x7cd0f9fc, 0x778cb1ca,
+    0xe694e6ae, 0x07c7c19c, 0x55c21b21, 0xd726336a, 0x84b68a20, 0xae6ac2f1, 0x182b8875, 0xedc470a4,
+    0xf2ecc79a, 0xb7c0f862, 0x42e98f46, 0xfb5a1e1a, 0x9b2ba276, 0x2e401583, 0x353d907d, 0x07757506,
+    0x44f81f59, 0x009355d0, 0xee753f58, 0x10aa0fe1, 0xb54d2eef, 0xa8781697, 0xcd76e623, 0x42a9221b,
+    0xaa0fdb2d, 0xef9e9595, 0x380e5686, 0xc727ce34, 0x06b339a4, 0xd5cc9f67, 0x2860e73a, 0xdfc2c51e,
+    0x295f78e1, 0x671a14fd, 0x4930c1ab, 0xa8a67df2, 0x22ab52ca, 0x136d20d3, 0x5bfab17f, 0x60cc67ce,
+    0x1c33cc42, 0xa5a7ed5c, 0xd0d6dc9e, 0x397cfc92, 0x9dd6c366, 0x7b6e5995, 0x1d0a9e7e, 0x89ccdd78,
+    0x497b39c5, 0xb8a6700b, 0x65696313, 0x3738864e, 0xdc4ac6e9, 0xb018331f, 0xc39723e9, 0xcf65b0e3,
+    0x44ffcfeb, 0xbcda7087, 0x8a0b0b03, 0x5ccddbc7, 0x169b2706, 0x1aa8e155, 0x01877345, 0xbaa006a2,
+    0xb2edaf51, 0xdefef55e, 0xf5f35850, 0xa81791da, 0x7e2925b6, 0xb8409703, 0x80d35cc2, 0xcb7b306d,
+    0x818fef3a, 0x90476f7a, 0xd7f3e779, 0x344bdcc8, 0x363f93bf, 0x5a31936e, 0xcebd0fe2, 0x44c97b73,
+    0x3f2a3c47, 0x07cd2cf9, 0x1a64dd3e, 0x42a73b44, 0x6383f568, 0xfb6e3e9c, 0x64da4819, 0x469c559f,
+    0x4585e53c, 0x4092abcf, 0x36b0024b, 0x5ed470d0, 0x0877801f, 0x82b7935a, 0x1889db59, 0x4b6f43fb,
+    0x195533fd, 0x2e0ead53, 0x8ce371c1, 0xce33cbf6, 0xfb36c4d1, 0xa1f25999, 0x173d1ecd, 0x5b2ca9aa,
+    0x17bddd3c, 0x94fd147e, 0xa22a9026, 0x2a64793c, 0xb9a1873b, 0x933e7e61, 0x60fc2a99, 0xa3622138,
+    0xce198d00, 0x3493ec74, 0xbea444dd, 0x6cbce3fc, 0x78ea1c25, 0x06111b5b, 0x54cbb5e6, 0x72b2d7f6,
+    0x753b3748, 0x6fdc5346, 0x93619d5f, 0xfbedeef6, 0xa141fdb5, 0x3715551f, 0xfa09eedc, 0xfb0db206,
+    0x7b961bc3, 0xb7efdb84, 0x9818f66b, 0xd3d3ae08, 0x158b4712, 0x4a22091e, 0xd7108d6b, 0x1a8ab3aa,
+    0x6d0972b0, 0x59718045, 0x79fc2871, 0xb9ff4e63, 0x3daef01e, 0x4b736029, 0x50d128b9, 0xcda24fcd,
+    0x6f7c49c1, 0xc9a72c9e, 0x4e13ef45, 0xc4b8edb8, 0xf9773369, 0x77ca139e, 0x4780195f, 0x3bb611ed,
+    0x76894321, 0x5a3a44c0, 0xfa2c8723, 0xbbf1ccd1, 0xb280e009, 0xe00c2709, 0xa5e0cbfc, 0x0653134d,
+    0x53f1a9b2, 0x40bf141c, 0x066c9382, 0x1f558e08, 0x85ef28a4, 0x7449b5ba, 0x21625904, 0xf02851e4,
+    0x2c469348, 0x980a928a, 0x33c20c1a, 0x7e06113e, 0xe7bc57f8, 0x1515c9ce, 0xff5d2bd5, 0x530a127e,
+    0xb057d92f, 0x37f3b126, 0x55ae48c9, 0x9368c13e, 0x3a21204d, 0x7e229803, 0xeecb5828, 0x821000ab,
+    0x9fa04c6f, 0xb1004afe, 0x6c014e0c, 0xbfe85898, 0x143435d9, 0x0fc00942, 0x6ed04d22, 0x498212f3,
+    0x81aca4d7, 0xf00ff750, 0x21240960, 0x47c54322, 0x75deacc3, 0x8a0d90ed, 0x088c263e, 0x9056e6ee,
+    0x6ccf2084, 0x4eb1a769, 0x8351349a, 0x20dd94b7, 0xd98f6518, 0x3c637959, 0x544ed6a0, 0x49661ed7,
+    0x8ed7bc8b, 0xd9930544, 0x668ea37b, 0xf5957467, 0x37039eec, 0x4c0e8eb9, 0x6544eb93, 0xfa0c2087,
+    0xc90f898b, 0x4cb62b03, 0xb6b9211f, 0xde992739, 0x312d2e5b, 0xb0c174b7, 0x3d609d10, 0xc4eacf0d,
+    0xb7f05c4d, 0xfe7026dd, 0xcdac6247, 0xaa128bfa, 0x73cf89ff, 0x4e6fd23b, 0xc8c0b9b1, 0x8f5580c0,
+    0x98bff314, 0xf7720d89, 0xcfdea976, 0x95eefede, 0x457c76f6, 0x47b33af6, 0x8a95d113, 0x3a9ee7f2,
+    0x013a6e55, 0x31d0cd02, 0xee7289a4, 0x1e30b027, 0x433e974f, 0x68cf10e3, 0xfe596841, 0x401de27a,
+    0xc0d084bc, 0x90fc0140, 0x771fa170, 0x0891209e, 0x2b5112d6, 0x7d0688d1, 0xf397e08e, 0x9612ba1f,
+    0x6132be0f, 0xd485ec68, 0x6b47bd4a, 0x5c8e2877, 0x16be9697, 0xa84fac62, 0xee8e44b4, 0xeedf7d1c,
+    0x0aedef7e, 0x70f58401, 0xde2e212f, 0x02891673, 0x9d417f71, 0x06b3d437, 0x7f422f1c, 0xdb8ef253,
+    0xbb74a89c, 0x6340cbdd, 0xffbc7e45, 0x530ec66d, 0xf77943ff, 0x5a7debbe, 0xb71e4728, 0x25669b18,
+    0xaae29a2c, 0x1b061f3c, 0xd11c1122, 0xe1375969, 0x953b3ec4, 0x768e1a88, 0x0dcdab78, 0xbded5dbc,
+    0xc3e66737, 0xf32e6c21, 0x96b150df, 0x9b871004, 0x16817432, 0x76334ad0, 0x82c4686c, 0xb06c339f,
+    0xf087f9cc, 0x76251e1b, 0x40ff6871, 0xd0e68e77, 0xafe39507, 0x3a379cda, 0xe4b7aee9, 0x2eef613f,
+    0xc61e47e4, 0x1baf1f7d, 0x8bbd6863, 0x61e3d781, 0x261310c1, 0xb8bc9f37, 0x2131e324, 0x66f11f32,
+    0xc31ddca5, 0x67c7dd56, 0x27f8e0fd, 0xa7ae897c, 0xc0817a1b, 0x708d345a, 0xfeafca1a, 0x73511492,
+    0xd762e88c, 0xf0665002, 0xb9d1658c, 0x0e4e2dfb, 0x1e0a97a7, 0x52e76f19, 0x5f482166, 0x5859c933,
+    0x34b68ca8, 0xcaddaf78, 0xb41512fc, 0x465f3b83, 0xf0713f32, 0x6f1ba5db, 0x6dfeff1f, 0x2409a7c8,
+    0x15e93c54, 0x2f42559c, 0xe78fb8d7, 0xb24b1f4a, 0x7f40a6ec, 0x56847327, 0x885f7f9a, 0x1756fa44,
+    0x12b67666, 0xda8be05d, 0x03fddf89, 0x5f2f43ec, 0xf339e640, 0x30a70279, 0xc15ac391, 0xbe613857,
+    0x296f3393, 0xcd938df4, 0x7df0780c, 0x5595907d, 0x1b89f623, 0xdb7a02be, 0xcb7718f3, 0xb67776b0,
+    0xa8892b98, 0x3f0f8042, 0x8bbe5279, 0x13e97169, 0xa638d071, 0x56c0131b, 0xfa62143c, 0xa57e0c08,
+    0x1b2adcee, 0x3adcf4a7, 0x16f349df, 0xa37d1eab, 0x41072f34, 0x87a2f65c, 0x861de434, 0x1fbd712f,
+    0x0c302e55, 0xcd5d311a, 0x71ba6bfe, 0xbe810549, 0xbe248d19, 0x1ac57ded, 0xd67b2467, 0x4f50b0ee,
+    0xb08ce8cf, 0xcaa09d9b, 0x60b95464, 0x3407449d, 0xe507afc9, 0xa5d82874, 0xf4b41f12, 0xb8c564eb,
+    0xaaaedb0c, 0x14dc3829, 0x9917019d, 0x75a26616, 0x39299f5b, 0xda47a545, 0xac56730e, 0x69ed53c3,
+    0x258c7eee, 0x1c237fed, 0x3fedc5b9, 0x71584a2e, 0x77a0d292, 0x5d33b508, 0xc5ab4557, 0x35e533fe,
+    0x3c53e013, 0x76c239fc, 0xfdf88b0d, 0x3bf669ab, 0xc925acf8, 0x4ca3edeb, 0xcbaf0fe5, 0x07c870fe,
+    0xfcd8bb33, 0xdcdb3f61, 0xdc88d1b4, 0xa417085e, 0x48ad88b8, 0x13e6516c, 0x56f6af96, 0x8f90cfcd,
+    0xbea77ebe, 0x88f0003d, 0xef1de389, 0xa3c7936b, 0x2dc9c2be, 0xeb49d07f, 0x22181747, 0x8ab80b13,
+    0xdd37173f, 0x35d015d4, 0x7d55c707, 0x54b2236c, 0x383ed21c, 0x59762be1, 0x56d90db7, 0xf5990d65,
+    0xf428e761, 0x8b02246f, 0x984f690b, 0x7639d231, 0xb9ac0f43, 0x13cdd08b, 0xf2b84b15, 0x1592e63f,
+    0xbba96345, 0xa732da65, 0xd3ce2d95, 0x3b79464d, 0xf902ce9b, 0x5ddde56a, 0x4360c2d4, 0x6d1abec4,
+    0xc3608ca4, 0x38a4609c, 0x39de02de, 0x53a0d48f, 0xaecf8c5a, 0x379f854e, 0x9f7372d6, 0x135ea8dc,
+    0x7c854006, 0x951d6bc8, 0x9b996831, 0x8c3d571a, 0x39f1c969, 0x15b11214, 0x3ecc8aac, 0xbba0bfd9,
+    0x8dd428a2, 0x33ee7552, 0x89c968f8, 0xb2893ea3, 0x61349c6e, 0x59a53f32, 0x5c83dcc0, 0xe6171950,
+    0x33f83e08, 0x798686b0, 0xc9b5343f, 0xf715b128, 0xae350f8f, 0x39a1a013, 0x90f504a1, 0x689643e9,
+    0xd21e2e51, 0xe537db8a, 0x23938300, 0x7c64a703, 0x3e0892c8, 0x30e1169f, 0x902692e8, 0x0adc62e4,
+    0x2f645b70, 0x89e3f708, 0x13a75abb, 0xe070e95d, 0xf8daf5cc, 0x8f1e5841, 0xa5dcbe34, 0x944f7129,
+    0x4c8cdf36, 0x9fe6c34b, 0x2b4efdbc, 0x9a97c265, 0x9d71ee79, 0x0f209a0f, 0xb0c34d8a, 0x3023ad1b,
+    0xbd7363fa, 0xff6cfc39, 0x97d5cd67, 0x7723037d, 0xddd6d72d, 0xcc7551b4, 0x8a5688ad, 0xf816fae5,
+    0x8f4d1b5c, 0x489f7e5a, 0xcee0902a, 0x0cd350a2, 0xf89d86f5, 0xe3babd0b, 0xe2a0519c, 0xea83a242,
+    0x77556b00, 0xc797cc83, 0x559d814a, 0x9d835753, 0x2dbb2d78, 0x56cf6b03, 0x60a10532, 0xc7cabafb,
+    0xb96b21f8, 0x582456d7, 0x70059794, 0x4e4e5082, 0x75b76411, 0x259d4eb0, 0x86120874, 0xb488f579,
+    0xa9285e07, 0x9316b321, 0x64096782, 0xd06a6f81, 0x3cb5f2db, 0xd4e76d0e, 0x1194e0de, 0x4c96bb8d,
+    0x65029958, 0x1289ced0, 0x70459932, 0xc516d660, 0x51a615fd, 0xa603aff7, 0x0a991351, 0xc5eeb62c,
+    0x22a240d9, 0xaaf8c510, 0x16472f86, 0x7f9145f7, 0x25d3533d, 0xa3f329ca, 0x01ee7d86, 0x4ec3d262,
+    0x7a4169a4, 0x9782386a, 0x04154713, 0x1d3ac43f, 0xb6cc87ba, 0x1047c707, 0xafac0fde, 0x2a2187e1,
+    0x92444e67, 0x6b97053e, 0x0a1129c2, 0x6e980dde, 0xdfc69d8e, 0x5499411f, 0x74478a8c, 0x3f54b2a8,
+    0x70233c2a, 0x342729ae, 0x15fba665, 0x6ee7808f, 0x9b2b686c, 0xba78498e, 0x2cd3e522, 0x567684e7,
+    0xc82ffa6e, 0xa5385739, 0xda237fc6, 0x8e55275e, 0xff0542be, 0x9b8c8aad, 0x6e90bea8, 0x86d502f6,
+    0xb7744176, 0x27bed741, 0x3f886966, 0xd6676277, 0x4cb5c562, 0xaccaf27d, 0xda8ce04a, 0xa5019c55,
+    0x4959b7e1, 0x19802c67, 0xc6d45ab9, 0x48710116, 0xd82712fa, 0xe64f7ea2, 0x6c06fd38, 0x5ace5265,
+    0x8b3aafbb, 0x57f75148, 0xbd29ac22, 0x32e6191e, 0x6fa8ce6a, 0xbaa06cbb, 0x80316fa3, 0x376485eb,
+    0x74e395a3, 0xd574464b, 0x2e7979f8, 0xc32badbe, 0xc5dc3186, 0x1fcf236e, 0xb54c023d, 0x3dd32ef7,
+    0xb8235bdf, 0xddc7e3e6, 0xb2f596b8, 0xa2e7514a, 0xe070c45f, 0x21008884, 0xbf2def28, 0x96f2eccc,
+    0x3cca26d2, 0xabb8b614, 0x5bd739cf, 0x9c8c78b3, 0x611c91fd, 0x87a15edb, 0xbd4e6dc1, 0xbc4bb3d5,
+    0x9fb01ca2, 0x35c2c55f, 0x2f52425b, 0xf76e08c1, 0xbeb7a198, 0xfa8ec0e2, 0x82177956, 0x424bc763,
+    0x60941950, 0x06314390, 0x28f60196, 0x5f275014, 0x7f512047, 0x5ea2d0c6, 0x55595107, 0x0a753fb4,
+    0xcceded7e, 0xf8d7189a, 0x9f42f643, 0x22797c0c, 0x0e9d786c, 0xc1ac0ea9, 0xd0a26b3c, 0x163c1b29,
+    0x2e4c4a98, 0x3a831f60, 0xc4374dac, 0x7374b6a2, 0x7f5d0480, 0x9d62205a, 0x70e976b0, 0x01dcdd50,
+    0x0ed03bbd, 0x6887dc38, 0x13b4a1c6, 0xadb3a49c, 0x13f5873e, 0x628cbb75, 0x9cc16405, 0x01bf31a2,
+    0x2b2cf252, 0xe375cda2, 0x4817bf3f, 0x5d2f43a3, 0xe90113e7, 0x44b10c67, 0xe0ab08e1, 0x97b57902,
+    0xcea27128, 0x5f61091a, 0x955f2eca, 0xb752482a, 0x1647102b, 0x11df9ce9, 0xde09fc63, 0xbcbc4b1e,
+    0x91477fdd, 0x398414a7, 0x43436052, 0x4d7aeedf, 0xec37cf45, 0x8fbeb8ad, 0x5455f56d, 0x4ab06e99,
+    0xa7e481a6, 0x8a75b741, 0xb1c527a8, 0xc170df64, 0x6152cd0b, 0x37c83bf3, 0x27b501c5, 0x98dbe3bd,
+    0xed2e6efe, 0x14704c05, 0x47e757b3, 0xf23b63c5, 0x5aaa77c1, 0xaa527ac6, 0xc97f12d3, 0x7f59e359,
+    0xe353e4e1, 0x212f54e6, 0xc4caf7bc, 0x21aa7187, 0x5fcf3cee, 0xa3c56243, 0x6f4c6cb2, 0x07f83342,
+    0x980b9771, 0xfd22e40b, 0x570bc263, 0x633dc209, 0x07b74d18, 0xbb3b612d, 0xb9d96285, 0x4bdf5830,
+    0xccbafa4c, 0xc80e975a, 0x8025a746, 0x08a365ce, 0x6ed63d10, 0x0623e4ee, 0x7ccf33b7, 0xc042a7b4,
+    0x2818fb11, 0x62fb4763, 0x71e16bf8, 0x1689f4da, 0x606cb2dc, 0x96e4a661, 0x6e695a23, 0xb18c4994,
+    0xe9c75c7c, 0x6ae86b1e, 0x33f6c35e, 0xb15d73a1, 0x9695cad8, 0x0ee956b8, 0x10f6ecb9, 0xcab6f5c8,
+    0xc6170041, 0x76177296, 0x2ea50aee, 0x44927719, 0x3a8e334c, 0x9362eead, 0xb750c0fe, 0xab3ca06a,
+    0x3ff7b62b, 0xa33e568d, 0xe31e9759, 0x039d4872, 0xb51173cb, 0x81d325be, 0xd840a196, 0xf6538c42,
+    0xfa08b42c, 0x30cb1d28, 0xcb154bcc, 0x45235b81, 0x0c6ce2f3, 0xe56cdeea, 0xf97c38bc, 0xcf055980,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000025711008708143844408671393477458601640355247900524685364822016 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f6, 0x75a9d235,
+    0x00000000,
+    0xe436379a, 0x7103db52, 0xd7afee75, 0x880fdf84, 0xf252755f, 0x1787a5e4, 0x7494ad74, 0x3323595c,
+    0x51f49b4d, 0x573dd714, 0x50ada731, 0xe62ec65d, 0xb861f14e, 0xf352ce33, 0xaa698d14, 0xfefd6367,
+    0xfb2c0b0b, 0x8f9a043b, 0x61f92605, 0xb271cd3c, 0x467eb719, 0xcfb1cf71, 0xfa003c00, 0x1228146a,
+    0xfc3742a7, 0x57311684, 0x31d27aa7, 0x3e70054d, 0x70f18168, 0xa3746afd, 0x01c9eceb, 0xe9ba9f96,
+    0x21bb2bdf, 0x835bf077, 0xb64f8bb6, 0x31257fd5, 0x57ca6acc, 0x93197054, 0x21942cec, 0x5063ff8b,
+    0xb5fcb404, 0x9a0cd555, 0x663f0865, 0xcc02f553, 0x86ce022e, 0x4d49676d, 0x1d8398ac, 0x1fa4d3bf,
+    0xf0c19c32, 0xbf8a00df, 0xc12aa778, 0x55641704, 0x72626fdd, 0xac571dea, 0x2faae63e, 0x1e76b4e1,
+    0x0364a395, 0x629145c1, 0x559af143, 0x31a7a4e9, 0x7ca80052, 0x876ea39b, 0x56f73295, 0x295b14fe,
+    0xe449ff27, 0x3f846105, 0x2e8d6b30, 0x63c64697, 0x98ace17a, 0x6b6e0850, 0x313697ba, 0x2b461abe,
+    0xe06f3beb, 0xde02fc20, 0xf7f90b2d, 0x364211a9, 0xf268ec6c, 0x3a3a41c9, 0xbd1b7b29, 0x960e3fd5,
+    0xed851464, 0xacccd83a, 0xfbb31090, 0xbb508eba, 0xb09ce0f7, 0x72f50f2b, 0x858548d2, 0x495ac818,
+    0x4b5441e9, 0xce24614b, 0x36bea5e2, 0x04f7b97d, 0x22da9d28, 0xfdcaca5b, 0x18d5e128, 0x4261e0b8,
+    0x39f46c8a, 0x7e12b507, 0x4183bfdb, 0xd7b6d631, 0x0ef2400e, 0x6c69e95f, 0x61594e0b, 0xd846ba53,
+    0x3c7df9a6, 0xafec6d7c, 0xe5c9d730, 0xa8ecb64d, 0x08972798, 0x8b7e677c, 0x7b1b69a5, 0xc2c04fc2,
+    0xed2372f0, 0x83087c0e, 0x5bb6b9ba, 0x846e236d, 0x3d3c340d, 0x9de4cfdb, 0x2f99d837, 0xf1ae0ea0,
+    0xd51dfe0e, 0xfdb1695d, 0x8c6dd07c, 0x12ce23f2, 0x510380c4, 0xa6f71b2e, 0x33365622, 0x4e5992cc,
+    0x18fa77e8, 0x9d29f326, 0x79d7fad0, 0xa361270a, 0xa09d6aee, 0xb5e74e15, 0x15e3a519, 0xa4025722,
+    0xe3a21002, 0x1bcb7242, 0xf4d5b0e2, 0xa83781c4, 0x09626f3a, 0x9ef6d4b3, 0x38b4dde3, 0xb226a429,
+    0xba8b8641, 0x0f85aecf, 0x594664ff, 0xff8f9e53, 0xe2962a23, 0xbf48cda6, 0xad84d43f, 0xe08103af,
+    0xed591d55, 0x57a3c424, 0x4cb79f14, 0xe4645b9c, 0x57ad4c06, 0xffa222a4, 0xdeba0808, 0xa6d92437,
+    0xb32f498a, 0x9923a47d, 0xc241ddde, 0x879acb3f, 0xf6a0ab5a, 0xcef3c257, 0xd6026231, 0x62647e24,
+    0xb041bcef, 0xab58dfbd, 0xf2eff994, 0x013f87bd, 0xc26a0dbb, 0x83cd3d6f, 0x2487172f, 0x9ccf3d95,
+    0x2985f4da, 0xf09dac33, 0xc89322ca, 0x560a92d1, 0x55353ed0, 0xe74386f7, 0xe2ecbeb1, 0xccbf2526,
+    0x2008b4b4, 0xc1bae82c, 0xe07984eb, 0x61a9af9c, 0xbe72ae9f, 0x9ef62bd8, 0x11667b22, 0xefa8cf47,
+    0xf22b1225, 0x6fd00c8c, 0xa7a4a1db, 0xca98c958, 0xd7f64954, 0xcad0ecb3, 0xb7c7979c, 0xefc4e947,
+    0x1ec87ded, 0x4b58568d, 0xd95fcfef, 0xf75db02f, 0x36c42261, 0x1147dcba, 0x932be116, 0x26f4a055,
+    0xb498a995, 0xee7cc469, 0x611c7c63, 0xff150086, 0x60fa8ce4, 0x94513f87, 0xfa2fed57, 0xd51c8292,
+    0x872e3370, 0x58466a22, 0x54df689f, 0x0555e4cc, 0x6a75f048, 0xbf4ec0a4, 0xf5fa2bc6, 0x5cd67c71,
+    0x34bc99a2, 0x67e05eed, 0xf928c0a7, 0xe4118b06, 0x3e80e93f, 0x258a56aa, 0x47eeeeb0, 0xd3c6c71f,
+    0xb9d31a25, 0x4bee21cc, 0xea301479, 0x153f1725, 0x2db21c8e, 0xfbf6f697, 0xa8a76262, 0x44464046,
+    0x6547b1fc, 0x3f5eec5a, 0xbe4fd6e4, 0xd2d64324, 0x2fe31157, 0x7051c5db, 0x3702c146, 0x47059eb9,
+    0x2e78c3db, 0xbda4b889, 0x7ef9d93b, 0x90dcd8bc, 0x1804d200, 0x90202738, 0x2100e7e8, 0xf72e243c,
+    0x0ef4c55c, 0x43c3d1fc, 0x1d51521c, 0x2c1b4ec8, 0x2512adad, 0x4b9bf1cc, 0x38ff7fc3, 0x6dbddd44,
+    0x49e3f214, 0xdc6a9d7b, 0x03217be7, 0x795d7e2f, 0xcb28640e, 0x5a465856, 0xa8b31bcb, 0x05e8ef88,
+    0x4df0141d, 0x666d144b, 0xbcd745a3, 0x060665e9, 0xe8769957, 0x1f4745fa, 0x9e389cc2, 0xd3681161,
+    0x012271da, 0x9d8bda44, 0x858966b6, 0x889fda63, 0x7fe26116, 0x1f35b779, 0xe9ed7a46, 0x262fc9fe,
+    0x04353e25, 0xc0cdaeb6, 0xedc4e21a, 0xaa3b73a0, 0x7df871cd, 0x76bbedf0, 0x9fdcecae, 0x85925426,
+    0xe32e4a66, 0x7fd29536, 0x59ad17c2, 0x513f500c, 0x9b7650b0, 0x697cb9e4, 0xc5933490, 0xe73a98ac,
+    0x719fb7ef, 0xe41f1f38, 0x62dfa3d5, 0xac9d6ec1, 0xbf0e061b, 0x55cb8298, 0x90d9828b, 0x927ae66d,
+    0xb9f68292, 0xa24c23f2, 0xab9251de, 0xc50e6bdb, 0x3898e237, 0x519879f5, 0x96c72755, 0xdb990c79,
+    0x1c586dcf, 0x16830f9b, 0x6d0be41e, 0x224fd4db, 0xb55b608d, 0x8c7fcb1d, 0xc76fc536, 0xf659b3f6,
+    0x7e0c6c83, 0xff305cab, 0x696d66c2, 0xa01a0679, 0xa602e193, 0x7b8f4628, 0x3991d9e6, 0x15b759de,
+    0x54615b61, 0x1341d2c5, 0x84271a31, 0xe59c3fb5, 0xbf31775d, 0x38923a2c, 0x1ddfc166, 0x58d022a1,
+    0x79f43911, 0x47016930, 0x99b63b54, 0x428c58b4, 0xde4289c5, 0xf3661121, 0x7b0b872b, 0xd3530acb,
+    0xda502706, 0xed376d1b, 0x8442eeb5, 0x04abd331, 0xa91b9942, 0x55a8577b, 0xb1d42a90, 0xa87b55c2,
+    0x9088f09e, 0xcdb0e9e5, 0x657baacb, 0x03753a2d, 0xd54182d6, 0xf360f14a, 0x4463db65, 0x614ffd64,
+    0x5c5bf95c, 0x3ca47ae0, 0xe879c881, 0x41493033, 0xad7a2f0c, 0x0429ac29, 0x6a9ce417, 0xb98376af,
+    0xb6c515c4, 0x6230f41f, 0x649c9313, 0x0aea3971, 0x6d1c4161, 0xa15547f5, 0xf944dd6f, 0xbf9e977d,
+    0xc0eaaf7b, 0xd2e806bd, 0x66b7a91a, 0x0524898a, 0x9d486b63, 0x7293a708, 0xa8ea27be, 0x7ae3d8c2,
+    0x6c772f90, 0xd09b817a, 0x4d39e930, 0xd0e495e3, 0x5269887e, 0xfafe3dd6, 0xd1e109bc, 0x99acbf96,
+    0x951c98c8, 0x9770d60d, 0xf1b20b8f, 0xf402b4bc, 0x7d22332c, 0x65c57423, 0x6a2b16ea, 0x57f3b846,
+    0xc83821e1, 0xf64a8603, 0x8c629f8b, 0xc7952be1, 0xba9c29da, 0x7c449ac6, 0x8341609d, 0xc0f930ce,
+    0xda2d871d, 0x64a7a09d, 0xdbaaee36, 0x901394eb, 0xaf9251d7, 0x4b124bfb, 0xec02fb77, 0xb6448bf3,
+    0x039438f0, 0x4db7b101, 0x484bdb33, 0xa4528671, 0x59a29084, 0xd423722c, 0xaef1cced, 0xfe230aca,
+    0x2250b8e5, 0x5ca5a1ff, 0xb5dcf6ef, 0x79dd3ac0, 0x1b829f43, 0x4076c0aa, 0x6eade471, 0x9364c2df,
+    0xf530fff2, 0x1f09154f, 0x0a1ab59d, 0xeb9fb298, 0xe7e81f19, 0xed76fb7a, 0x62690829, 0x6f08b37f,
+    0xb1b00674, 0xede1c320, 0x149cc28c, 0xb4d624e5, 0x19dbbffc, 0x31afc99f, 0x12c29968, 0xa974ce4c,
+    0x13f87f7e, 0xf9b6effa, 0x1b9648ff, 0x5781f4df, 0xa04f5638, 0x8fd4fe06, 0x9fb15365, 0x83cae347,
+    0x3d4059bc, 0x64402517, 0x88ea3e46, 0xb89f6451, 0xaf5e258c, 0x082bfade, 0xe1f3555d, 0xeefbbaa4,
+    0x3d481db2, 0xf6b0c0af, 0xdb415bd4, 0x3a81c6d6, 0x70497bcd, 0xec26bb08, 0x44a152be, 0x07d8a228,
+    0xbf743a3c, 0xe888c42d, 0x597de3ba, 0xcaa23ce1, 0xc3140087, 0x2ca58469, 0x902509e7, 0xded6f43c,
+    0xb61482ee, 0x9694bcd2, 0x52cfc093, 0x45885371, 0xb1a2639c, 0x5cfd79eb, 0x93df2de2, 0xea946159,
+    0x8814d905, 0xf0e78992, 0x4a1e2de2, 0x36fe75c7, 0x7855bd29, 0x224f719d, 0xa46bcc27, 0xf89aef7b,
+    0x96420b18, 0xf638a4f3, 0x7617e4d8, 0x511d6920, 0x4fe7e973, 0xbf5e346d, 0xdc9c5e1f, 0x6a910403,
+    0xc881d8e8, 0x1ee75037, 0x67e06b87, 0x26eab04b, 0x208be477, 0x493f75d6, 0xc54b650c, 0xe83db283,
+    0x5e325fab, 0xc215c139, 0x696a475f, 0xf5b9fed0, 0x7fb8b558, 0xab22bd66, 0x1ad78bac, 0x224af4fe,
+    0xa76dd78f, 0x84ed8a05, 0xd500ff31, 0xc881fa9b, 0x45e3c0da, 0x663878af, 0x9735f9bc, 0xdeb13ccf,
+    0xa02a451e, 0xc4a50f33, 0xecb69182, 0x0e59b49c, 0x530e407f, 0x6870dbdc, 0xe252086e, 0xc41a1e9e,
+    0x96bb2898, 0x7c3e0653, 0x3676fcf3, 0x168cc89e, 0x2b34b295, 0x2c68317b, 0x5de2a0ef, 0xc818a615,
+    0xc5765d32, 0x46b38e68, 0xbc1d741e, 0xc584a621, 0xdaf6bdf4, 0xd6a0b65b, 0x55deb8c1, 0x9cd5146f,
+    0x75e18277, 0x02275993, 0x349489b1, 0x276e0f35, 0x6ca8051c, 0xb09199f0, 0x832c3b3e, 0x12a90684,
+    0x5423730a, 0xa1e69c97, 0x6412cf6e, 0x505efb5d, 0xd7fc9185, 0x956f0be6, 0x0c7d2487, 0xef99ae6e,
+    0x8c9c6f77, 0xf092544f, 0xd54c1445, 0x6bcc8dcf, 0x74b85cde, 0x9b19e23d, 0x9199d59d, 0x832a5f6a,
+    0x767067e1, 0xd6e6bf26, 0x8222b136, 0x4944536e, 0x22f775d0, 0x691ff19f, 0x16ea8a8d, 0xe4921dda,
+    0x593e07c6, 0x38e68636, 0x9ba3924e, 0xd05fdc24, 0x5e45cd03, 0xfa8e70cf, 0xcb75a429, 0x3b0cab37,
+    0xe8d89962, 0x19c0e1c0, 0xcb79ab90, 0x3feb7200, 0x185a9838, 0x60d270dc, 0x298de4cd, 0xce138963,
+    0xa5ebcca8, 0x78938354, 0xa857b98f, 0x4bfec80f, 0x1724486a, 0xe6417283, 0x3edcd27e, 0x54db98e5,
+    0x151cce35, 0xe2f57e7e, 0x60dda8c9, 0x3bad7107, 0xfa646e85, 0xddafb724, 0x0d44f3c4, 0xcc2e5272,
+    0xed549433, 0x227e6553, 0xb8fd6c6b, 0x7fc5bd74, 0xde7fbd42, 0x9cdc3045, 0x64301f5d, 0xd698cfd1,
+    0xad10f8e6, 0xa9ddc4dc, 0x9f1d632c, 0xdbcdf04b, 0x3489ddfd, 0xd4762f8d, 0x2de142da, 0x802a086f,
+    0xc2c71ea9, 0x852cdf50, 0x72823f85, 0xbc6edb14, 0x3c5465bc, 0x28f7386b, 0xb0fd4084, 0xa9b7b09e,
+    0x994ec856, 0x256e18e3, 0xcfd58bc5, 0x779574b2, 0x1617d5b2, 0x00709038, 0x17b80315, 0x76394537,
+    0x2b2e8a70, 0x3998a91a, 0xa0b54d7c, 0xc5cbf613, 0x9b35577e, 0x263bfc4b, 0x10804fbf, 0x8b2aeb12,
+    0x72ca520b, 0x5d633ef9, 0x412135ac, 0xd045eab2, 0x892c8217, 0x8b798da0, 0x66cf06a6, 0x3f8768ef,
+    0xb4574716, 0x157615d4, 0xe03b601b, 0x80f22716, 0xd18e6363, 0xc818aa8c, 0x26cf4484, 0x6ae2c259,
+    0xcd07ea7d, 0x2b7e935a, 0x74e49543, 0x52f35390, 0xd443c08b, 0xc82611b6, 0x02330a0a, 0x32ae2ac9,
+    0x65bc6425, 0x250b025a, 0x1d007dba, 0x5c1840eb, 0xa9974d47, 0x1db11fc8, 0xb3be331e, 0xfe9348f6,
+    0xa23cefd4, 0x946c9661, 0xc7096542, 0x65f6565b, 0x6fd3cc9b, 0xe55bae8c, 0x8fb3ff3b, 0x7ac32b18,
+    0x4ec9ed53, 0x5086eb65, 0xdb0c43c0, 0xe45670a4, 0x7ff51e6a, 0x2ee22957, 0x95a3a692, 0x6e631a58,
+    0x5619053f, 0xf3f13b9d, 0x31b6498a, 0x3dd7e96c, 0x8c4fa022, 0x7e7832ca, 0x956a5d00, 0x967349fe,
+    0x1005e2e6, 0xb9852df9, 0x66b692ac, 0x0b22a233, 0x3259bdcf, 0xae69c3c5, 0xf976a087, 0x45f12b7b,
+    0x556bdb59, 0x8b9ff5b8, 0x495f0349, 0x765f603a, 0x758bad9f, 0xf66d6883, 0x87d149de, 0xff26db3e,
+    0x8ae7521d, 0xb2975ebc, 0x7e81f7b3, 0x5dd0dfd8, 0xa6cae470, 0x8bbee577, 0x5e93e8c9, 0x9469ece4,
+    0x37389e3d, 0x5168725e, 0x96d21364, 0x904179d4, 0x3db9db1d, 0x74916ad8, 0x8e8270d0, 0xc3e7f045,
+    0x6dc309e9, 0xc5df1a11, 0xf6246ef9, 0x318894d1, 0xa497e77f, 0xff6506bc, 0x8adf7f36, 0xe4826ddb,
+    0x3009ac18, 0xffc0c4d4, 0x82772437, 0x8c6c1625, 0x140241f6, 0xe4ba3ee3, 0x80081dcf, 0x8000e2b2,
+    0xeb559247, 0xdb946b21, 0x3c7063a8, 0xf3ec7a80, 0xb5e53ecc, 0x41e55d06, 0x7b5fb78a, 0xaece8ff6,
+    0x9bebe182, 0x940d6f78, 0x60e81a89, 0x3765777b, 0x82064641, 0xd6782459, 0x46688ef7, 0xd26d7c95,
+    0xd735f5fe, 0x94bafd28, 0x47cffa9e, 0x6ab26adc, 0x91f168d6, 0xa58f64f5, 0xfdc900da, 0xcd84766f,
+    0x6b08f391, 0x7bc46111, 0x836cc8e7, 0x1b3f4aed, 0xcfe57e84, 0xb7aa2d38, 0x18fe0ca3, 0x504f145a,
+    0x1dd16a19, 0xaf3a4cbd, 0x4cf84db9, 0x495a3272, 0xad9210d5, 0x9ae81cfb, 0xb32b917d, 0x30d70712,
+    0xe4442abd, 0x79a9b707, 0x4114fdfc, 0x1856189f, 0x0a705a19, 0x06483f3f, 0x87b7343b, 0x8026c05b,
+    0xbfab9a33, 0x0c05842b, 0x3a7afb03, 0x8b8801c0, 0x73ca52f7, 0xa3ce8311, 0x2e0a18c5, 0xf20b6426,
+    0x5d636c24, 0x988b4fec, 0xf3949802, 0x2165a28c, 0x9686216e, 0xc47cd3b9, 0x1e9f101f, 0x690edb76,
+    0xe07fccf7, 0xa57cc51f, 0xac45bae1, 0x82461797, 0x1273ea97, 0xebec6113, 0x2acf1e2b, 0x88a485be,
+    0xa9c744c1, 0x5c7b1fde, 0x88701afd, 0xfe1c4c76, 0x1740206a, 0x778e021a, 0xa27014d7, 0x2d6f385d,
+    0xb828c679, 0x223af749, 0xce341f42, 0x8a5c118a, 0x5d5830fe, 0xc69e2cf2, 0xe47b8c14, 0xb37c2fcd,
+    0xeb809cdf, 0x247aca47, 0xdf12fbe0, 0x91bc74e5, 0x27e94a63, 0x3622b266, 0x4f6eee4e, 0xb6d20ec8,
+    0x91c03c6c, 0x16062110, 0x6712e66f, 0x9e12e43f, 0xb9ac8d87, 0xf037c955, 0x8e958133, 0xaba5d0f2,
+    0xb600edeb, 0x96a518ca, 0xb1d42878, 0xc0c79a3e, 0xa518051b, 0x0da7ddf7, 0x4788f4d2, 0x6c54c2d4,
+    0x10874bfb, 0x8de657ac, 0xa798dfe3, 0x5dac84fb, 0xc6c546b1, 0x82de25bf, 0xbf8bea8d, 0xbda1ae53,
+    0xc885a66b, 0x8c8b4e5c, 0xbbc3cb85, 0x36c8efab, 0xd25b6685, 0xa61f52f7, 0x78fc34d5, 0xda5decb1,
+    0x8c4636cf, 0xc01fdf43, 0xe2b8792e, 0x02857acf, 0x29e2e8c0, 0x5ab86ffd, 0x01025052, 0x60f4af2c,
+    0xac646b10, 0x12feab33, 0x5b61ccd4, 0xe7c8f4f5, 0x32279872, 0x6d52e985, 0xb00af7ec, 0x6e1711ad,
+    0x7e75605e, 0x827b3c55, 0x5ec47605, 0xadfd1232, 0x3ca858a1, 0x73ea383f, 0xbfa91ad1, 0xaf0c947e,
+    0x3e08bc47, 0xf85957b1, 0xb9555e12, 0xa95f0620, 0x46c521a0, 0x31246ae5, 0xbeff204c, 0x7bea1b03,
+    0x998a34aa, 0x33e849b0, 0x1f902ed0, 0xe70da1b9, 0xd25599ca, 0xdaf5031c, 0xddcac8c7, 0x4cf3bc6b,
+    0x25a18fb6, 0x677bad95, 0xbc53b2e0, 0xa66d0603, 0xd7b73c0a, 0x42adb993, 0x68a62ea5, 0x1aa85144,
+    0x2bc71c2f, 0xd5888faa, 0x47fa1eec, 0x0daf08f8, 0x57a1ae45, 0x5478b2c0, 0x752da6a4, 0x2915d366,
+    0xf24f39ad, 0xa60ea3ab, 0xba5fad4d, 0x256ab890, 0xe3caba76, 0x1bb8e15b, 0xd05c1e4c, 0x888c9779,
+    0xaf615d11, 0xbfeaf483, 0xe80f9851, 0xc574f827, 0x88a50381, 0x0a3faf43, 0xc9f44425, 0xfe2cc51f,
+    0x017c44f5, 0x30824513, 0x1c55c88b, 0xd48b8444, 0xd17dbcad, 0xe7f82600, 0x64be7f72, 0x5edd5a14,
+    0x7dbabe07, 0x73cc024b, 0xa401e2df, 0xea163411, 0x675f74e5, 0x510b7e97, 0x554a5876, 0xf46d12a2,
+    0xe60f9d53, 0xbe0dac1b, 0x5d79a4a3, 0x86c56058, 0x3724c3df, 0x791c08c1, 0x3d27ecc1, 0xbb6b1481,
+    0x69300914, 0x07071b76, 0x1c1b2e23, 0x6b025058, 0xd5dd6478, 0x502ccb77, 0x0c86bfc7, 0xad274eca,
+    0xea379b04, 0x1339a8c6, 0x3ccb059d, 0x27a47903, 0x7bf01d87, 0x1b6fb974, 0x760618c4, 0xbf357745,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000012855504354071922204335696738729300820177623950262342682411008 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37b, 0x3ad4e91a,
+    0x00000000,
+    0xaae99e92, 0xf60948ce, 0x35e0b95d, 0x5a83276a, 0xe6cb6180, 0x66a2874c, 0x1f9ca83d, 0xc6471dd6,
+    0x4c1796e3, 0xdf75cc5b, 0x1145e2ba, 0x914f7756, 0x56394c65, 0x23084678, 0x7d9286dc, 0x28251150,
+    0x28a7c065, 0x6061297d, 0x14c8b11e, 0x33587bff, 0xfb867edc, 0x89f0561a, 0x5d1c6b22, 0x83f2a019,
+    0xe8f3b81c, 0x6bb42876, 0xf3bd4bed, 0xee4e8bf1, 0x337ccac4, 0xed9c2102, 0xebda0394, 0x93a326e7,
+    0x2f3894cd, 0x19724806, 0x1d8f26a4, 0x2a32af07, 0xe0850885, 0x83cdd314, 0x7a4dad19, 0x2a0ba9c9,
+    0x46f82f12, 0xbe73e864, 0xbc1aec72, 0x0d4839ad, 0x61d3dd19, 0xe5431cf2, 0x471508f4, 0xccb1c82b,
+    0x62bdc288, 0x7e2c9c6b, 0x10e05a64, 0xfacef6c1, 0xa72f2e4a, 0xd58902c5, 0xf7aba305, 0x84659cb9,
+    0x37bc0d0b, 0x0127ffdb, 0x9b3a9d66, 0xf4dccf33, 0x669ad722, 0xb4efcb8d, 0xce71a597, 0x8e71cf41,
+    0xc603afdd, 0x4f1270a2, 0x15ebca8a, 0xc5660392, 0x3501895b, 0xb0a1b793, 0x70cfa72a, 0x954fa40e,
+    0x3a0b9be8, 0xc28bca3c, 0x70538e85, 0x0b5becb6, 0xe5dea932, 0xe179f852, 0x516139cf, 0xbe43ecdd,
+    0x4b8907c7, 0xe88798db, 0xa1dff516, 0xde7258fb, 0x483cf0fd, 0x80cfb566, 0xe1c61a93, 0xf85427b6,
+    0x6316867e, 0xf7bb3f9e, 0x8fea6dd8, 0xe7be618c, 0x51456db2, 0x5c439085, 0x458eafd8, 0x43299620,
+    0xd67489a2, 0xbe046fe0, 0x7cd1a310, 0x55659ae4, 0x654a5955, 0xfc8ae9b6, 0xc15cf8a8, 0x9dab02f0,
+    0x43369ee8, 0x3be95ec0, 0x7d7dfc55, 0x6705f60a, 0x46a7b6b3, 0xebda3d00, 0xc6a5537f, 0x7716c386,
+    0x05ca7fb5, 0xc5a41ecf, 0x8a59b3b0, 0xe207cc32, 0x1dfae4f2, 0xa099c00e, 0x5660105b, 0x31bdd38f,
+    0xfc26c313, 0x1c943cf7, 0x6cb0d468, 0xd49fc37d, 0x14403891, 0xa49ce4d8, 0x95c5792b, 0x2e7c9b6b,
+    0xb326a1be, 0xd575fcc2, 0x6e55c691, 0x47fc4fc6, 0xa96d43fa, 0xcb4193a4, 0xf47a45d5, 0xff4a19bd,
+    0x0eae6696, 0x94a1f5ed, 0x0efc1518, 0xb30f1ba4, 0x205cc7e1, 0x15a585cd, 0xbd7cd6cc, 0xe898ebb9,
+    0x57c7a837, 0x006d3d03, 0x29798932, 0x7935c418, 0x54443a17, 0x19927953, 0x7ca36d5c, 0x394483f8,
+    0x7632939d, 0x1c776897, 0x1feecc82, 0xcbabf8b8, 0x9e2a59d2, 0xa3a1a37f, 0xa0fd08c8, 0x6c83d743,
+    0x8cb4975e, 0x9b69b134, 0x22119b0c, 0x26b1476e, 0xbcd65aab, 0xd4922148, 0xd29104d8, 0x56fb5aec,
+    0xf6b64902, 0x74e96b9f, 0xd2318a06, 0xe26834fc, 0x8820e6b7, 0x701d3a1b, 0x90277f87, 0x3078bd47,
+    0xc96609f3, 0x93762054, 0xf3867412, 0x0f515a66, 0x29d09855, 0xf03f3c28, 0xf4745350, 0x053fc771,
+    0x9d47e2ff, 0x9fd8a017, 0x79aaa52b, 0x8452bdac, 0x45763457, 0xcefde78e, 0xd9384748, 0x03f38b26,
+    0xf550f14a, 0x40d5f036, 0x5cf5d240, 0x0947cafe, 0x7e2376b3, 0x4d9ad9d4, 0x29a31983, 0x1ce3d169,
+    0xd18919a0, 0xc07376f8, 0xead1ac7b, 0x4d67454a, 0x565f07a5, 0xc5a3a9fa, 0xaad81fa1, 0x64c71db9,
+    0xb155df66, 0x679306d6, 0x6504e37a, 0xcb93fe2b, 0x59daa0d6, 0xf15d1693, 0xeb337c4c, 0x0998a57c,
+    0x68b64bbd, 0x81026735, 0x63ce3310, 0x8be68705, 0xef795ef8, 0xbb753387, 0x2e610fc9, 0x3ab6a2a0,
+    0x4f031859, 0x19c2e780, 0xc1be4ad6, 0x23405f87, 0x046d7312, 0xd420cd17, 0xcb38168b, 0x332801e5,
+    0x4f014cf1, 0xf583088d, 0x55f42a1d, 0x348f9c0b, 0x2bd33016, 0x688a9477, 0x66914693, 0xf02e48a9,
+    0x05fc01ee, 0x9a64a28f, 0xb311e3d1, 0x669a69af, 0x20d65926, 0xe0d08ce0, 0x1a697043, 0x29aa9168,
+    0xbc4a72f5, 0xb42bbbe5, 0x8699ef76, 0xa4253dff, 0x4a8fc25d, 0xbbea6ab7, 0x6995b16f, 0xab2e67cd,
+    0x101c4ae5, 0x62612e49, 0x66e5621c, 0xbbbfdea9, 0x055dbe91, 0x2a81bcd9, 0xa481ab34, 0xb3fb560e,
+    0x31f13e42, 0x28b09108, 0xdbcc80c1, 0x34a339b2, 0xd48ff057, 0x57150803, 0xab4081d6, 0x2c8d1835,
+    0xe167ca3c, 0xa03c60b9, 0x9183e1d8, 0xa1a35cd5, 0x4b310599, 0xe3f8ab63, 0x40e12c34, 0x836e28be,
+    0x3dd3a3ab, 0x8576ed15, 0x62e07133, 0x3daf20c6, 0x35df7aac, 0xd3162d49, 0xea9ef52a, 0x25b00d49,
+    0xec2e0367, 0xdd973e67, 0x0db80b9d, 0x0c2af2ad, 0x2331e9f2, 0xd0c4698c, 0x357ac5cf, 0x51aaaba1,
+    0x093cd1d8, 0xf6a5c768, 0xf22e0e98, 0xed41eca5, 0x510e3be1, 0x4df5c8e1, 0x40313e28, 0x0a850b65,
+    0xfaf13ec1, 0xc61b4dca, 0x35999aa2, 0x4faf3abf, 0xa2f6e248, 0x22f8cc14, 0x0ecbc883, 0x553a77b6,
+    0x44543a10, 0x00a4ccfb, 0xc8b65413, 0x48464197, 0x41d7f029, 0x5ae09280, 0xff673550, 0x9c449b0b,
+    0x0e1a5114, 0x03cb30c2, 0x6471c383, 0x3c75c7ee, 0x284ea544, 0x080cee51, 0x209887d9, 0x790c9175,
+    0x1ce4943e, 0x2ddd6be4, 0x70b0bb5d, 0xfdca9901, 0x2dc3f67d, 0xc41ffe53, 0x74a67d65, 0x18a8ba68,
+    0xe7e32d65, 0xbf11fb70, 0xca88eae4, 0x537b5c2b, 0x52fc340c, 0xf5dbcb12, 0xc0ec0c8e, 0xae2593b1,
+    0xb3e60c86, 0x4fea9e84, 0xfbc29edb, 0xaee79f60, 0x14c880a9, 0x8172b7b3, 0xe9fad6e2, 0x79f7809a,
+    0xd88306e5, 0xeafd57ed, 0x7738dfe7, 0xb71c1902, 0xb04ca164, 0xe9c62664, 0x9393791d, 0x332f89ee,
+    0x479c437a, 0x595250d4, 0xbb7e4189, 0xa08f5dd2, 0x310ac57f, 0x4b89c9cc, 0x1c4d658b, 0x89ab7256,
+    0x4ebdd02d, 0xbe40d711, 0x65937080, 0xebdeca13, 0xfd47e1d3, 0x6ccdbf77, 0x901650f4, 0xd9962064,
+    0x64993060, 0x346fd218, 0xb8feaf2f, 0x00c21152, 0x48778c72, 0x15f55b44, 0xb8bcf67c, 0xb94a8564,
+    0xd7000f71, 0x4caa5343, 0x8fff5a52, 0x717b7f70, 0x833956a5, 0xbe35e01a, 0x5da24ece, 0xe06ec9e2,
+    0xc675b94d, 0x10b2a7bb, 0x389a38d1, 0x49807e65, 0xc71b9049, 0x42394be7, 0x3d872be9, 0x782ed86d,
+    0x3af1f209, 0x1943176a, 0x336ee768, 0xc5499bc6, 0x80be699f, 0x0b23cd5e, 0x9719a815, 0x245578f0,
+    0xb8b65069, 0xfb68b739, 0x1af33116, 0xe93c5938, 0x3a923eaa, 0x109cd551, 0x14ae7253, 0x5cac0fe5,
+    0x92e2b875, 0x0ff390ce, 0xcf173a95, 0x48260b81, 0x66b95aea, 0x87535d8c, 0xd6c866db, 0x5079da31,
+    0xb92e2476, 0xa626567e, 0x85bdd862, 0x17088fcd, 0xb8b3d5c0, 0xedba86a5, 0xe2f02493, 0x1ed41095,
+    0x92892a67, 0x8caf2213, 0x055ec136, 0x630e8496, 0x95f82c80, 0x5ecd8edb, 0x8599d139, 0xad1fd403,
+    0x4535758d, 0xdb215654, 0x7f1b9096, 0x1378a579, 0x83f9fd2b, 0x21c4bddb, 0x03669706, 0x3607a910,
+    0xb7a38901, 0xb01a1628, 0xe7e055a5, 0x556c9ee5, 0x7a4e4765, 0x151d5944, 0xc19c0e5b, 0x2162f8c8,
+    0x54ade405, 0x5b558ab0, 0xb2bfad6c, 0xe86b5507, 0xf6e3f62b, 0x1a6842cf, 0x6ae32c43, 0x8f4892fb,
+    0x7d3e9a4a, 0x4c439e8a, 0x3fa63a17, 0x86033936, 0xb0aea163, 0x0125c16b, 0x032d668f, 0xb02bbf00,
+    0x6d1a87db, 0x769f3344, 0x79eec721, 0xa18f7bd0, 0x790a6509, 0x57a34b4c, 0x04b8fcda, 0xacd36bb2,
+    0x537b7c6f, 0x2deffea1, 0x0500ff02, 0x5ce0e6d5, 0xa5654e3e, 0xda12c88f, 0x3e1d8c0f, 0xa27b90f9,
+    0xbf3d7184, 0x9d691ae6, 0x2f005fea, 0x0068e144, 0xb5a8de22, 0x53083665, 0xbeff701a, 0x0b312b44,
+    0x14cc9796, 0xe1190106, 0x0ad1c752, 0x3751c8a6, 0x05877b2d, 0xc3d4cbc8, 0xde28de5d, 0xa40fda26,
+    0x35e6b7a4, 0xb00f3ba5, 0xa6730433, 0x5aba5443, 0xeb92d1f4, 0xd14723fd, 0xd5b865bf, 0x90d25851,
+    0xafec0922, 0x64f9a696, 0xed175a3f, 0xe3c32717, 0x231e447c, 0x8ee505fd, 0x6f558673, 0xfb871434,
+    0xc3974a77, 0x1883e3a7, 0xb101a00e, 0xcf4a1949, 0xa0ed9d68, 0xeaabc1c7, 0x8dd8d04f, 0xe7f9cf0c,
+    0x77bff199, 0x31603700, 0xf6317b5c, 0x75964a1d, 0xc2a183c8, 0xd7ca6c5c, 0xfc1e293b, 0x75e2b177,
+    0x91eb58d4, 0x5dfc7c82, 0xd0142338, 0xeba54b55, 0x0f4ea586, 0xdb222f9c, 0x46aa7091, 0x9071fe2f,
+    0x4e2cd939, 0x900716d3, 0x250892e8, 0xaf4296b4, 0xa3e4e4fd, 0x699c8d6a, 0x533ab298, 0x29e439ae,
+    0xb80e1af8, 0xa497e8da, 0x70e8851a, 0x638d1bd3, 0xfa146775, 0x7cef8715, 0xa915701a, 0x1b6c2faa,
+    0x8efd4209, 0xa8a6462d, 0x3319323c, 0x00cf03c0, 0x45a87a1d, 0x5737f47c, 0xc9331276, 0x69586413,
+    0x1c23e080, 0xa8628ddc, 0x39dddcb6, 0xa6c2fc4b, 0x49d38888, 0xb4bd4b10, 0x98e697d9, 0x95bbe5b4,
+    0xffaa84b5, 0x7ffe5f9f, 0x07493ff6, 0x5762e201, 0x76f5b558, 0x81f5899b, 0x6642bb81, 0x5105fc79,
+    0xe1a1845c, 0xbcf933ef, 0xc6d35532, 0x8bfb4527, 0x33bc68d2, 0x8ce4a4cf, 0xc189a1a6, 0xc28b45ec,
+    0x460dc11f, 0x8a1fa0ae, 0xce027f2d, 0x783aeb63, 0x2f8998eb, 0xb62104f8, 0xe799f2dc, 0xea5f4dbf,
+    0x1c3329a2, 0xf3440d54, 0xeaa54e05, 0xf937ad8f, 0x0d808b22, 0x67db9292, 0x3ae5f11e, 0x685db941,
+    0x86176b10, 0xdfe72cc8, 0x7b4f17ab, 0x1ab9500a, 0xbfd42dbf, 0xe696622f, 0x5b719a27, 0xe6043bb5,
+    0x1d8f4777, 0x34d5a3e4, 0xb6ad4b84, 0xdf4b9f25, 0xafaed8fe, 0xdd237229, 0xe5d3413a, 0x5c09f6ea,
+    0x8bd21385, 0xdc8c3803, 0x4051d579, 0x49ebcc5a, 0x3fc287bb, 0xdcb1ecce, 0x2071d336, 0x0fbd3967,
+    0x65c8c8a3, 0x65dfefc7, 0x957d0732, 0x449206b2, 0x8b648f1a, 0xbb330beb, 0xd803f020, 0x7044a7fc,
+    0x31d07b45, 0xf11a600c, 0x144c029a, 0xb9f09dbf, 0x5440683d, 0xcda8823a, 0x6b56a179, 0x08235920,
+    0x55ca1e2c, 0xcc4665e0, 0x3b48d180, 0x7d633b9c, 0x324537b7, 0x7a0de130, 0x5150042b, 0x3a57cc06,
+    0x2c4af1a8, 0xd6bad321, 0x8d03d287, 0xfa552c8b, 0x86d53750, 0xcfcd5594, 0xd6174b84, 0x524d0178,
+    0x96c621b4, 0x47de3de4, 0x904e9b63, 0xc29f02e3, 0x529c4abd, 0xb1595424, 0x532ae82e, 0x6fa180d7,
+    0xa45472dd, 0x2c128ee0, 0x29a34779, 0xc28e0d26, 0xd806d376, 0x58c77fe0, 0xf8246ab4, 0xab49bdb5,
+    0x86a1c364, 0xe2c46e58, 0xad0d5c1c, 0xd5c2e5ed, 0x0abab547, 0xe9dbe502, 0x427797d9, 0xdbd04bbb,
+    0x98525f03, 0xa43e4b6e, 0xf3c583d0, 0x40f41a8e, 0x9a93a6a6, 0x2ff6a797, 0xb3c894c2, 0x05852b9d,
+    0x5d5377d1, 0x0f133ab1, 0x00e50362, 0x17ca9c58, 0xec80261e, 0x51767522, 0x2df8b03a, 0xaf3f75dc,
+    0x667ce18f, 0x92c081ea, 0x66ee13be, 0xb38bd0f9, 0x2ad0c027, 0xc30e90f1, 0xed467f4f, 0xea45de73,
+    0x796ca704, 0xb7771d7a, 0x75828ef8, 0xc797ea66, 0x54a7f920, 0x3c4d206e, 0x910d8e52, 0xb5647631,
+    0xb4d2cbec, 0xcab84029, 0xb9f06463, 0xd538db58, 0xf0e4c06d, 0x655b32e5, 0x3bd0df4c, 0xa3dce6bb,
+    0x14ed1650, 0xbaad9570, 0x1161f0f9, 0x627db7b8, 0xc6cbff3e, 0x40289222, 0xf36d9d21, 0x1390b0ab,
+    0x67b57c51, 0x8d2b3512, 0x5972d084, 0xa63af951, 0x3bb30871, 0xb4af5d4d, 0x75aa85a3, 0xee010f7f,
+    0x7294bbe9, 0x56e19798, 0x940c733a, 0xa7e15732, 0x41b0c942, 0x48d25274, 0xb8263ad1, 0xfad30f9f,
+    0x407e0189, 0x8209bbca, 0xa9a4817f, 0xa3ee740f, 0xbdcdbf69, 0xdea57acd, 0xd7f93fb9, 0xb09c952a,
+    0x713a3b39, 0x5dfffa64, 0x26c306bc, 0xaa3c94dc, 0x17dcb3c3, 0xd666286e, 0xb1ed0328, 0x6b05472e,
+    0xf7737357, 0x6589374f, 0xb5e101c2, 0xe3c57281, 0x6d67b55b, 0x9ccceadd, 0x3ebec180, 0x49bf0d34,
+    0x5acfa909, 0x0671db9b, 0xfbb3a67b, 0xdbefd8ac, 0x185e5557, 0xbf67a501, 0xc8170da8, 0xd99e38db,
+    0x8d475f9f, 0xe0dca264, 0x03fb5bdb, 0x440b625f, 0xb14ba8ee, 0x4facf7f7, 0x71d0edac, 0x273d4fa3,
+    0xe179dc1d, 0x0be17d09, 0xde0f47dd, 0x782c51bf, 0xc85c1394, 0xdb2f54d1, 0xf35e8749, 0x5397fef3,
+    0x5543500a, 0xf6957983, 0x8329120a, 0x19927fa2, 0x2bed01b0, 0x480a9859, 0x6e2d1b51, 0x0db4e29b,
+    0xde5e1eee, 0xfdc703cc, 0x0960c188, 0x03e5a255, 0xc90514e4, 0xd067fe1b, 0x0ac7709d, 0x229ddf31,
+    0x5a582b9c, 0xab5fe7e5, 0xdaa15744, 0x35f55b71, 0xed2132d3, 0x336b1e6b, 0x763434eb, 0x357b8fcf,
+    0x65af0d80, 0xf548fe5f, 0x66c703a9, 0x029edf86, 0x80d16b41, 0x7da1dd3b, 0xb54c5cc3, 0x595aba0d,
+    0x3ab2714c, 0x2ccd7aa6, 0x94eb9b46, 0x15f30418, 0x9b4fb6a0, 0xf0432021, 0x71800c9c, 0x4b76d889,
+    0xd7913952, 0x64571a91, 0xfdcda340, 0x54ac57ed, 0x77e31f79, 0x15de36ac, 0x5d07dd00, 0x2f550126,
+    0xb0eb9b0d, 0x86d19bc6, 0x7f38a765, 0x46757b09, 0xce8c0975, 0x456c2dde, 0x570d507f, 0x121d678f,
+    0xf7b553c3, 0x48745e23, 0x8168a394, 0x807ea048, 0xcc2898fa, 0x28ec50bc, 0xa0f6c542, 0x0cca2eb6,
+    0x8c2bd6cb, 0x4659ce9e, 0x07d56d1c, 0x9bae143d, 0x5752432d, 0xac620c0e, 0x9b4791af, 0x949f2eea,
+    0xf50c4dbf, 0x7df5633e, 0xb097b0ca, 0x1a0d57c1, 0x22886a50, 0x950758a6, 0xf56e01d2, 0xd690c740,
+    0x3893d716, 0x03543ee0, 0x5ab523f4, 0xdb25f923, 0x65177a72, 0xc68f6038, 0xa970af24, 0x7e197ace,
+    0xf5e769d8, 0x0c0d5254, 0x97f4572e, 0xd098ed53, 0xf7b593d0, 0xf20ae6ec, 0x438f5b1e, 0x4a28d141,
+    0x472e5b53, 0x6c50bf18, 0xb39e50e9, 0xd8362087, 0xe578633b, 0x291372ff, 0xf3827cc2, 0xba39d404,
+    0xe6c86ca7, 0xbc85acf4, 0xea4e96b8, 0x527e0cfc, 0x12a77ae6, 0xd38b2f5b, 0x1852dc82, 0x4e7095b3,
+    0xa676f196, 0xab4b4f72, 0x3c8d4bb5, 0x8ebf1650, 0x1268171e, 0x441a0a1d, 0x60326350, 0x40cb634d,
+    0x2fb46859, 0x789ddf0c, 0xd839c0a9, 0xa6a0e15a, 0x876a5729, 0x5432d5d1, 0xd2a1073f, 0x84ff35f0,
+    0x33f0dd2d, 0x5c78e873, 0x9b4476ba, 0xf7c2c0c8, 0x7c0df3d5, 0xbe6e99c3, 0xa369f6a1, 0x84f1f85e,
+    0x484038c3, 0x4ebf0de5, 0xce34be6b, 0x22b00684, 0x0409eff4, 0x78e60c52, 0x6932aed2, 0x87e5d3b5,
+    0x1f52daee, 0xaef53daf, 0x1f8fbf06, 0x4f6ea0d4, 0xac6c5c5b, 0x762b49e5, 0xc5fbf22d, 0x8641f4e1,
+    0xb8b38680, 0x24d7ba82, 0x1ecbc8d0, 0x1626b84e, 0x2d4c38d5, 0xb95192f9, 0xc7b9b06d, 0xba8a7a61,
+    0x0c25b496, 0x87a88031, 0x4ee913bc, 0x4c06907a, 0xb97f02d6, 0x26654653, 0xaa46b9d4, 0xdc34b14b,
+    0x7da2e5d5, 0x6e32f91d, 0x11469b73, 0x162b697a, 0x634074f4, 0x1acb820b, 0xd0ab9936, 0xc76ec4be,
+    0x081007aa, 0x6575daea, 0x4ae28870, 0x4704ab49, 0x83ce1a8b, 0x76643e94, 0x79e2bd54, 0x8a632279,
+    0x4a63414e, 0x1a183601, 0x2c16c7f6, 0xd3acb364, 0xfca94217, 0x7df89674, 0x079359ba, 0xab8af2ab,
+    0xfe0e24bb, 0x775b23a8, 0x2aaefbbb, 0xcee73935, 0x70eaaaf1, 0xd58e1b99, 0x14e7d40a, 0xc5643b19,
+    0x00542450, 0x4cb526b2, 0x03dcda00, 0x52b89397, 0xea49c314, 0x5afe7068, 0xf04b6f86, 0xa7701d7d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000006427752177035961102167848369364650410088811975131171341205504 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bd, 0x9d6a748c,
+    0x00000000,
+    0xd12c74e2, 0xf42684f5, 0xf62f264a, 0xd4ce6abe, 0xdb07e392, 0xccd4781a, 0x40cfc324, 0xf9cf0b48,
+    0xfab5f6e9, 0x806b9685, 0xf5c93500, 0x277f824b, 0x229bda97, 0xe84f4c24, 0xdfe13465, 0x5c28b580,
+    0x0daadf8a, 0x4c73ff10, 0x069c4519, 0x2f116a6a, 0xa4ff9334, 0x2fdd40ef, 0xffd9d1ce, 0x73a1ad02,
+    0x872ef37a, 0xaccd98d6, 0x5f214937, 0xdc23258b, 0x614951e4, 0xe6a9b55a, 0xd8b60cec, 0x1f6f3937,
+    0x0c2e6d80, 0x887410d2, 0x1956fc17, 0x7bffe3a7, 0x68faa9b1, 0x661b957a, 0x5d049108, 0x93c298d0,
+    0x0997f85f, 0xb191b2e9, 0x4ca11279, 0x0fef0ccd, 0xbe15fe1c, 0xd04a86c0, 0x59b3fecc, 0xe6182c8d,
+    0x6b7001d2, 0x20a952d1, 0xc46e9873, 0x8a2b1d24, 0xe16a04d7, 0x55c09339, 0x36baf93a, 0x3a8d9a03,
+    0x91f9f9e1, 0xf592a20b, 0xa40184e2, 0xa375945a, 0x3af85d75, 0xc557def4, 0x2386d4b8, 0xe28bcca6,
+    0xb99a03a9, 0x95e95855, 0xf10f2a7f, 0xf2282e65, 0xa959df82, 0x439e46bf, 0xd81bcac3, 0x3178e22e,
+    0xf4a54a46, 0x951ae3d1, 0x7f9417c1, 0x9695e631, 0x61645127, 0x5ce7aa1c, 0x2fc86241, 0xaa65359a,
+    0x82a12bd1, 0x4b814e6a, 0x9ca6d180, 0xfe68cc92, 0xf82866f2, 0x885de745, 0x2ae0b975, 0xe54246b3,
+    0x19a146b1, 0xa177ed50, 0x9828ee31, 0x3ec3404b, 0x33c015b3, 0x2895ee83, 0x25e5927a, 0xbacea2b3,
+    0xc9efcefc, 0x79646853, 0xc44e01ab, 0xb31b867c, 0x4ce864d6, 0x9754f50c, 0x98e275b2, 0xb7278d67,
+    0x42d0932d, 0x32ddaf5f, 0x819cc7f8, 0xf3a70864, 0x55c57e1b, 0xced94bd3, 0xc1a171f6, 0x98201f94,
+    0x57ac83db, 0x1aa9c57a, 0x0cdc1a94, 0xbc42b98b, 0x071b6b6b, 0xf6617151, 0xf6a8635a, 0xf8d1efa4,
+    0x79f06869, 0xd102a890, 0xd976b77f, 0x4ab513af, 0xc6b7b575, 0xb0e8704c, 0x4cbc4664, 0x831725a3,
+    0x5a921226, 0x29bce20b, 0x00d0f907, 0x028f8f7a, 0xb9ba2882, 0xf4c85b32, 0xc28de400, 0x0ce912f8,
+    0x96ad6bfa, 0x3748b780, 0x5f35e929, 0xc70fb4f4, 0x99f5b4c7, 0x16dd7758, 0x7298d79c, 0x235d836d,
+    0xe968b6bc, 0x4193e486, 0x86281c25, 0x47e9059f, 0x450753a8, 0xaa5f4078, 0xf58dba54, 0xed25ed0c,
+    0x8c30ff28, 0x91e48ac0, 0x73760916, 0x0cce1b91, 0x68f8a063, 0xe44100d4, 0x66529552, 0x82f94f07,
+    0x0b63c1dc, 0x06a97bf2, 0xa90fe738, 0x767f7736, 0x45075f0d, 0xf66ef808, 0xa4a53f12, 0x3525e967,
+    0xcc7a886f, 0x0f016100, 0xb043e099, 0x9bbcb93e, 0x20923e97, 0xf1e39e0d, 0xc42bcd4b, 0xd1f12fe6,
+    0x02d9a2e1, 0x8cadaab8, 0x61234495, 0x6bc5fa39, 0x198e5ed4, 0xb0272d64, 0xc73af1c5, 0x9f3084b3,
+    0xb22212ba, 0xfbca3aa0, 0xac6f469d, 0xaca0d71a, 0x227d3393, 0x8fe35fdc, 0xc7ddb0cb, 0x39ab2635,
+    0x92fafeec, 0x72444305, 0xf78fd07b, 0x78f739fe, 0x7a22ae0f, 0xdd3076bf, 0x4140256e, 0x8fbad611,
+    0x5c3b956e, 0xd7aa1537, 0xc45424f7, 0x4a600cec, 0x7602604a, 0x009216d2, 0xef31ded5, 0xbcbeb3ca,
+    0x3956dbdf, 0x482737a7, 0xe92b4a23, 0xbf1261ad, 0x8ebefccf, 0x11072afe, 0x18c443d8, 0x2fb44d73,
+    0x288183fb, 0xc68d13ae, 0x7c3451f8, 0xef5c03b1, 0xe2ae5bd3, 0x1ed7a055, 0x623fd597, 0xd324cfc9,
+    0x202ec8a9, 0xf4084abb, 0xb3ded7fc, 0x56e67607, 0xd22fcb1c, 0x1423585a, 0xbdd1be24, 0x0afcc4bc,
+    0x4f18065b, 0x982795ad, 0x38046938, 0x557e0625, 0x18caf6ca, 0x0b940af3, 0xe0a751b0, 0x3ee2e24c,
+    0xa62b1789, 0xc11f9a81, 0xada15830, 0xef541538, 0xad6f7e6f, 0xf0c2f6e9, 0xedd83b4e, 0x6275a3d0,
+    0x5e776a51, 0xaf2b8d60, 0xc34822e8, 0x60bbba6f, 0x8a08ae30, 0x4157e734, 0x6903cdf3, 0x140499a2,
+    0x02640331, 0x339a5206, 0x7e5362a1, 0x8e9efe4a, 0xd32140df, 0xee914758, 0xf065d813, 0x2fb5f422,
+    0x4776e77f, 0x497ebc93, 0xdff1c40b, 0x8a07dbef, 0xd2c6af22, 0x0faf49e8, 0x3bc58c1a, 0xd6727514,
+    0xd4909847, 0xac873ef9, 0x970ccca0, 0x3bbb2e16, 0x921f5baf, 0x3f3ab77c, 0x9d9effc6, 0xd1fdc0c2,
+    0x12004c6f, 0x9201011e, 0x99938e74, 0xf66ba2a0, 0x21a65e96, 0x4b4bcb70, 0xd843aaae, 0x24303468,
+    0xb47b2b84, 0xe6e8d7b5, 0xcb0732b6, 0x36bfcb3b, 0x4ad9a4a3, 0x999b1b8a, 0xa9faf387, 0x4e8a6907,
+    0x0fff0deb, 0x99a59af6, 0x3c96cbce, 0x2cb3fcbf, 0x752310bd, 0xe63974da, 0x77016a68, 0xa7c088ca,
+    0xf2111aaf, 0xb8eba2c6, 0x39100624, 0x7a9ddcf7, 0x96e455ff, 0x37ebd3cb, 0x6077ea78, 0xfcabe529,
+    0xc2e096c1, 0x41068bdf, 0x59ac11c7, 0xee64a59d, 0x1f4ca642, 0xce5584fe, 0xbb602039, 0x9043750e,
+    0x55df004c, 0x2397fbbe, 0x513c4c82, 0xcbd520af, 0x151cadba, 0x755c13a2, 0x32908f78, 0x858226a6,
+    0x181b802c, 0xfcc128dc, 0x484dffb6, 0xa268d755, 0xae791996, 0x9d6b8375, 0x943143d5, 0x93031524,
+    0xea7093b0, 0x4f1b8af1, 0x34af1813, 0xd1b2b41e, 0x2dd3966c, 0x53562387, 0xc71ed5e1, 0xf74079b7,
+    0x0b19e779, 0xeccc70eb, 0xa85e4556, 0x52164768, 0xabd3b97c, 0xf13c5584, 0x3eb8a59f, 0x901181ea,
+    0x158a1eb8, 0x4208ec76, 0x73f36a76, 0xb0bf24ed, 0x969bf534, 0xce485214, 0x653ddf82, 0x157831a5,
+    0x6d7c8d3e, 0x84460109, 0x8aafaa62, 0xc1f2ede8, 0x6c3cf651, 0xca0f8b44, 0xd6121e3a, 0x1c197644,
+    0xdab62411, 0x5b2ac98a, 0xde757837, 0xc4870359, 0x2e8b548a, 0x9fd9a22b, 0x11acb95e, 0xf2359d21,
+    0x6f70e0e2, 0x58ea47e3, 0xd4db09a5, 0x64667be7, 0x59cc03fd, 0xcb9adca2, 0x61e51415, 0x3e1a3317,
+    0xe4f8b677, 0xa1307054, 0x4a8aa1f2, 0x0785a9af, 0x9494b101, 0xea13f063, 0x5d2fc671, 0x103b6a10,
+    0xd51ee1d9, 0x5eebae06, 0x6806ae98, 0x20978d60, 0xbbacb209, 0xb6fb9c02, 0x33957776, 0xb4596b3a,
+    0x2887be95, 0xc646f51e, 0xadcdde9e, 0xda2ed7b5, 0xff38c0bd, 0x18de439c, 0x3544d6ce, 0x5adffcac,
+    0x33d0cbc1, 0xbe255ac5, 0x9c4d6cec, 0x43bb8629, 0x4f33c70d, 0xd59e00e2, 0x0eea7e0c, 0x08352f3f,
+    0x9e76386b, 0x3ad8f3af, 0x05126452, 0xcf56d455, 0x20356a4c, 0xd3162507, 0x33297d47, 0xd0e610a3,
+    0x872ca944, 0x0698f6bc, 0x3fd79c46, 0x61dfc14d, 0x8c80c83f, 0xeaa8d837, 0xe719950a, 0x1f6cbc7d,
+    0xa052545d, 0x1fe919fd, 0x48a7dd82, 0x9e254a10, 0x73e6d5fd, 0x515bc371, 0x82ed8aa3, 0x882227e6,
+    0x81d1a74a, 0x17f2dac3, 0x7d6202b6, 0xffbb24b5, 0x589135db, 0xa34c76c2, 0x06a33702, 0x9a3e22b3,
+    0xd5e6b12b, 0xaf504eea, 0x2a78470d, 0x4a4d1f73, 0x1b1dfbf8, 0x75818951, 0x0ea0d21e, 0x7eaed3fb,
+    0xccb9ccbd, 0x657fd283, 0xc4525d4f, 0xe4f7f908, 0x8350e5d5, 0x09a16c90, 0xd36510e3, 0xc0052f58,
+    0x0caaa901, 0xf0420a1c, 0x30199080, 0x8559ae51, 0x93b3466f, 0xe36b2ec9, 0x4c6495a2, 0xe74215c3,
+    0x10feb922, 0xef309a90, 0xe860385c, 0x0cf175ee, 0x9ae377ec, 0x9d59e5f9, 0xba021e4f, 0x15f36f7f,
+    0xd83a81d3, 0x44ff43f1, 0x2f76169b, 0xf89e134a, 0x3e2cd7ee, 0x183ced5b, 0x4b25ec21, 0x6dbf7b74,
+    0x22c83b46, 0x315a39fb, 0x78246482, 0x3944a651, 0xbfe62e21, 0x98182876, 0x7e2c667c, 0xc1845f4c,
+    0xa4720e72, 0xdd147585, 0x458edfa9, 0xc26c2de2, 0xc3f5aaf0, 0x177d6732, 0x407e78e5, 0x2c93fd39,
+    0x1786d6bb, 0xd49b02d1, 0x1f06edc9, 0x4e8755ef, 0xc4d326d4, 0x889154df, 0xb312cc70, 0x2dfc2f11,
+    0xa922e2c7, 0xdd98fbb2, 0xeb89c30b, 0x42936ee3, 0xe633f044, 0x9de48f9d, 0x379f30db, 0x8a0f175b,
+    0x1fe1a1f7, 0xca336a18, 0x3bf8383b, 0x36319067, 0xb065335e, 0x2f775d7b, 0xde2a4ba0, 0x838e7678,
+    0x76695814, 0xe071f0ba, 0x44256c20, 0xf1b8ec27, 0xf0315bf3, 0x3bf2389d, 0xd3f933f6, 0x24854b16,
+    0x6de553d5, 0xe4ae3bf7, 0xec5595b5, 0xf0c8398c, 0xbc75448e, 0xd53fa02e, 0x2203fc7a, 0xbe260d43,
+    0xcdaed5a9, 0x48134c01, 0x0b102416, 0xe4ec33da, 0x04287ac9, 0xfc4621fc, 0x5faee7b4, 0x83916fcc,
+    0xeb2a92b0, 0x135059f1, 0x98127c43, 0x4fe72d1e, 0x3d778d2a, 0xd0c90acf, 0x22595169, 0x96f2e209,
+    0x115364df, 0xecd426f0, 0x8dd6b36c, 0x8e6ddeaa, 0xd7954f01, 0xfe4b07e8, 0xaac9d465, 0xfed44c4d,
+    0x53c3697d, 0xb76f8c03, 0x35774d1f, 0xb8ac8aba, 0x4f3afc97, 0x32e6a192, 0x48e7243e, 0xbd61d542,
+    0xb2c4bf07, 0x809a39dc, 0x6e408548, 0x23d4bd04, 0xa5deeb8b, 0x30649f1e, 0x0045a6a2, 0x81dd225d,
+    0x10c43359, 0x977fa7bd, 0x30225fe1, 0xcc1bd964, 0x7c63b703, 0x2c77bb42, 0x13161424, 0xb840b8e6,
+    0x673e457f, 0x30b65dee, 0x148e2539, 0x37f1ef75, 0x126b852e, 0xb945b5eb, 0x12feee82, 0xd40247d8,
+    0xc31c7065, 0x8b7f9682, 0x06a9e00b, 0x0b9817cb, 0x4bc37fad, 0xa55049e0, 0x18cf503e, 0x8515acba,
+    0x6e956de3, 0x41f434d3, 0x89c59cc7, 0x84b6d93e, 0x88fede3f, 0x557e431a, 0x907bf1d4, 0x503b0e5b,
+    0xf573e36a, 0x880deb1a, 0xfc32a274, 0xdfa8f7cf, 0xface62a4, 0x5d3ba210, 0xeca8fd7a, 0xa8291232,
+    0x02da683e, 0x9824e668, 0x805b6105, 0xdf99c134, 0x07934c21, 0x7c62e2d7, 0x7fca7a15, 0xb268712c,
+    0xcda434d3, 0x6e2622e8, 0x192436e8, 0x2a8d05b3, 0xba85f339, 0x441bb13b, 0x8b609d03, 0x5ad5c40c,
+    0xf05213a0, 0x7db4f854, 0xdbc813fe, 0x25ba54f4, 0xdde73391, 0x6b721d3c, 0x75f18d9c, 0x7efdfaab,
+    0x79963442, 0xa31b8b09, 0xb2705b64, 0x40fd6c8f, 0x322d4724, 0x601b11dd, 0x926db2fd, 0x19da0878,
+    0x8e5ec3ee, 0xa24d127c, 0x9063ecfa, 0x22fdf3a7, 0xebeca6ea, 0xc6fddae4, 0xf331975f, 0xf5521c7e,
+    0x1cd3d61e, 0xdcf059e9, 0x1308e8db, 0x8a9d0f6a, 0xf4935b93, 0xaece69cc, 0x0c69b237, 0x191eafd5,
+    0xe77b6cf8, 0x68b8ff0a, 0x6bae765d, 0x06868fbb, 0xc566bf8d, 0xf04e7557, 0x34aed4d5, 0xba401c45,
+    0x89b575a3, 0x586f7246, 0x24c44b98, 0x3d5f58be, 0x9ebb8806, 0x00f8b62b, 0x374638f9, 0x68025d43,
+    0x3af2b1d9, 0xa010df4e, 0xf22bed04, 0xb247e46d, 0x2d79e72c, 0xddd74219, 0x4831c14f, 0x6d2200fe,
+    0xef426735, 0xb3bd4ebd, 0x9e7ef52d, 0xbd54c7ce, 0x5d1ae2bb, 0x8d1fb2fb, 0xc3956270, 0x62fa1fc0,
+    0x1c1d39d8, 0xe86a5649, 0xc9a1ca29, 0xfbae295a, 0x42587ef5, 0x968f4e43, 0xb8307893, 0xe358565e,
+    0x268e9bad, 0x8e9dbb30, 0x2447a26b, 0x3a23121c, 0x79eac1e9, 0x452361b6, 0xcab9edcf, 0x67891a3a,
+    0x63a943cd, 0xd62e9096, 0x4471de5d, 0x71cac439, 0x60030a3b, 0x0689dc64, 0xaa1f528a, 0xe9b4837b,
+    0xf1baa437, 0xf6bdbb29, 0x9c02bcc4, 0x3d827b94, 0x14e3c822, 0x62298946, 0xf303c33c, 0xedfebc9a,
+    0x1222182a, 0xb83a2250, 0x37258e97, 0x91b9a091, 0xfa9b0e81, 0x0c4fb7ed, 0x98b162ad, 0x24d05cfd,
+    0xaf4ab4e8, 0x48a62f09, 0x069448cf, 0xb3a01ba0, 0x6fdc5a1e, 0xce4bd3ee, 0xb61b2662, 0xe10972bb,
+    0xf1690031, 0x28bb34e7, 0xe8a1a3f5, 0x9a6061c9, 0x9e993841, 0x3fde149c, 0x014f2ceb, 0x3114b1b1,
+    0x56ce14d0, 0x83327b33, 0x7064272f, 0xcde85607, 0x7f734689, 0x8f7d5749, 0x15f906cd, 0x70afdee9,
+    0xde9a1eaa, 0x01cf6de6, 0xafaf6655, 0x751fd876, 0x1feb66dd, 0xde763c69, 0xb5090814, 0xe47f4b06,
+    0x5ff90da4, 0xf77511cc, 0x73dfb1a8, 0xf3af6b69, 0xb75d46da, 0x704c02d6, 0x19bdbcdc, 0x7fd1b980,
+    0x19c64cc4, 0xce69669f, 0x47f5d909, 0xe5fd53e4, 0x55f8a397, 0x1ecae244, 0xd21d6cb9, 0x792b0057,
+    0xb0b28f97, 0x89141563, 0x6b710c9b, 0xfa04c002, 0x7ddb3ff9, 0xbf101479, 0xe22ade05, 0x2578d150,
+    0x5a5b7482, 0x1f3bc2c3, 0x16cdf0ed, 0x9e13cca6, 0xec0d7d96, 0x753caed5, 0xf4c51a89, 0x468a5cfb,
+    0x14d073a4, 0x1af66564, 0x4ec40228, 0x36913983, 0x63cfa159, 0xc60baffb, 0x1df19461, 0x1b392226,
+    0x2a6687c7, 0x47f875a7, 0x963269e1, 0xd7cd81d7, 0x42518c99, 0x8a106109, 0x1fca9aaa, 0x0aa08bf3,
+    0x594972c6, 0x262f8d12, 0xc69a0ed4, 0xd24ebbb2, 0xdc99e7b8, 0xe4622213, 0xf416c652, 0xb46589b3,
+    0x3cbde1f8, 0x5ed3c268, 0xd91a2ae5, 0xf391ecf4, 0x4e0d596a, 0xddfc05a9, 0x9165b7a2, 0x61ca0b8f,
+    0x3d98b746, 0x76e1a1ab, 0x7d7f0753, 0xf9a48418, 0x55491c77, 0x0144e2cd, 0x92fbeacb, 0x20e6d604,
+    0xf0c078ff, 0xc578e470, 0x5f7b578f, 0x38aa478c, 0x904d4774, 0x399881b2, 0xc3135346, 0x7e0effd2,
+    0x7fb9e1b5, 0x2cdc2756, 0x9b5e328f, 0x8319f672, 0x88698630, 0x282f13b0, 0xfd63a53d, 0x134897de,
+    0xcde6063f, 0xe39e9e63, 0x722910fd, 0xdf4dd934, 0x09b3d239, 0x8c229e54, 0xf5b4f9c4, 0x0e3986db,
+    0xcfa1a814, 0x7de22882, 0x8aa1a4e8, 0x26ea3399, 0x049f85dd, 0xc3080cd5, 0x72141fdd, 0xe192fdb1,
+    0xf0716fee, 0x5f71439b, 0xd2725549, 0x5ffb3b21, 0x56008400, 0xd88f9caa, 0x148be5ff, 0xc455f026,
+    0xdee8b033, 0x024cc1a4, 0x24cbb432, 0xce357fff, 0x991165e5, 0x903b9d52, 0x25ac61e8, 0xfde10905,
+    0x568af979, 0x07667a86, 0x3fc0e4d6, 0x2082fa05, 0x93803f97, 0xb94cd706, 0x5abb81d7, 0x9b9f0ab9,
+    0x5d50b880, 0x0e6724c5, 0xbd249c08, 0x18af2720, 0x6644b997, 0x7d11607e, 0x11f03b00, 0xf6b563ef,
+    0xf8c23af7, 0xffb758ad, 0x689119a3, 0xc5eba650, 0xc120c374, 0x675f6287, 0x784d7dfa, 0x1a3c660e,
+    0x390e58e8, 0x47ee2f01, 0x376ba643, 0xada724a7, 0x28e082af, 0xb4e131bf, 0x42091492, 0x99307ebb,
+    0x51072d59, 0x545b3a96, 0x407aaa76, 0xb6bddcfb, 0xa2ccab7c, 0xcaec98da, 0x1f5011a8, 0xb9c4396c,
+    0xde085d9b, 0x770f8241, 0xa943acb5, 0xf1b261b1, 0x3084fca8, 0x0c542b4f, 0x4ed7e0e7, 0x87a70946,
+    0x8e82b7bd, 0x9eb930e2, 0xcf5ecdaf, 0xefedaccc, 0xb5356e68, 0xa6e01662, 0x6575e8cc, 0x44679df8,
+    0x2817fa86, 0xcb2a143f, 0x325c7831, 0xb766b625, 0x4fd317f5, 0x2bafd710, 0xfc6284ee, 0xaa13e433,
+    0x46861139, 0x87eff608, 0x013dc152, 0xdf27d1cc, 0x88f2cf93, 0xfa98037b, 0x3b09ab91, 0x3bced4a3,
+    0xf3637556, 0x8f27843a, 0x902c673c, 0x7608abf1, 0xeeaacf48, 0x09d31a02, 0x4f84f8af, 0xffa87250,
+    0x65870915, 0xd924d4a0, 0xa17e8d4b, 0xcce70518, 0x9302e97e, 0x2042007a, 0xe32ca270, 0xd2ce49db,
+    0x8a55c076, 0xee59e044, 0x1c547dfb, 0xae1d5f26, 0xc887a760, 0x3eed8877, 0xe59a1b6a, 0xb1effb07,
+    0x668c343a, 0xef5a212b, 0x89c7c632, 0xdeea313c, 0xd0229e3c, 0x1b406293, 0x116611a8, 0xd35d475f,
+    0x3c79d2de, 0x44def91d, 0x0d672ea9, 0x0046a7da, 0x72bf8d27, 0xc0bee1d2, 0xa4be60b6, 0xe368f781,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000003213876088517980551083924184682325205044405987565585670602752 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8de, 0xceb53a45,
+    0x00000000,
+    0xe767c7ee, 0x86224a93, 0xecb27dc2, 0xa51b7169, 0x375f2c4b, 0x9fbccc0a, 0x6e19272b, 0xedb41fa8,
+    0x16e9e92e, 0xe229f484, 0xbe8943ee, 0x6d92f9ca, 0x1927e204, 0x69673dd4, 0x61d31f33, 0xc8b2b13a,
+    0x851ff4e5, 0x986d40f5, 0x43370629, 0xf30a5b0b, 0xfc2b118c, 0xa3fc179c, 0x0171bf74, 0x2f2a4f8d,
+    0xf88bd854, 0xfe2e578b, 0xecc26f0f, 0x852fd7c5, 0x09c81dcd, 0xa478c2c3, 0xeea4ff69, 0x718b4a29,
+    0xfac19f87, 0xfb4d185a, 0xf891a069, 0x69cfa66b, 0xa6a35fbd, 0xb2fb18d8, 0xa1cce7f2, 0x832c0ddc,
+    0x52068e5e, 0x1c445059, 0x3ea6916e, 0x1c434bd2, 0x2013cf1a, 0x0c42cf76, 0xb42ac65f, 0x2863ec94,
+    0x5662d7c1, 0x11037f61, 0x9bd26849, 0xe9ec27ee, 0x235565a8, 0xd7d2a5ed, 0xf169dc09, 0x20309508,
+    0x49a68e54, 0x0145c43a, 0xa871b355, 0x375e6d0d, 0xf979efce, 0xc2d626fa, 0xa84c9edf, 0xd2f8a22c,
+    0x8283b932, 0x73b426b6, 0xb7b9ef28, 0x0e60f57f, 0xfad623db, 0x7d26b998, 0x065c3398, 0x6b21eb88,
+    0x83057ab4, 0xc626eb0f, 0xcbeda2b2, 0x102903f5, 0xf936bb82, 0x115cdea9, 0x847c1f7b, 0xfb710fe8,
+    0x9ba290e3, 0x881016c5, 0x8af85dae, 0xca690a61, 0x7403364a, 0xfcc4a77a, 0xf1f23d2c, 0x93b8c797,
+    0x84bbe7a4, 0x1ef50bb0, 0xeff96f81, 0xf7fdbbdf, 0x2b4a318d, 0x4fe52c2e, 0x04410d91, 0xf2020aa5,
+    0x3974813b, 0xfbe981f6, 0x922f7d8a, 0xe725c3b4, 0x7c99b1b8, 0x16beb1d3, 0x44e0862e, 0x8b5cbdd3,
+    0xa1b9595d, 0xc470b07d, 0xd79b16ba, 0x7d141790, 0x109eb118, 0xeae717dd, 0xa471b32d, 0x2c9d1131,
+    0x0a66643a, 0x721e505f, 0x40f4764f, 0x31734af2, 0xb8dc828f, 0x40016294, 0xd753096b, 0x82f953ee,
+    0x5d74634a, 0xf09afa87, 0xa6c60b46, 0x90d6150e, 0x75976e10, 0x416443dc, 0x57c76b54, 0xfcc99ec8,
+    0xc06af112, 0xcb5f75b8, 0xb76418ec, 0x2c4d2c76, 0xdcd89c27, 0x3de17f92, 0xbe3bc8ab, 0x47d7a6fb,
+    0xdd6d91e9, 0xb018b169, 0x53b2e2f3, 0x524aa104, 0xdfe94bc1, 0xaa80e648, 0xcdca5e76, 0x152c2546,
+    0xa6038577, 0xb990c226, 0x3ad31b60, 0xb60cb2e9, 0xc20f854e, 0x553d2af2, 0x20634930, 0x441482c1,
+    0x7abefcfb, 0xb49c34ca, 0x67f66970, 0xeb079989, 0x169c7f81, 0x48843b0b, 0x8cd6fbae, 0xa7a9447a,
+    0x75b3bdc6, 0x8638e15d, 0xbc8bbff6, 0xfc1a15fa, 0x0e6bd9d4, 0x3536f211, 0xb739575f, 0xf9794d41,
+    0x27fd7050, 0xd2c413a5, 0x84275bb7, 0xa5e300ce, 0xd22d46ba, 0xc22a34a3, 0x3b595ad3, 0x8831b620,
+    0xec6d6088, 0x1ba5760c, 0x9ab8a75a, 0x4cd20fa5, 0x61860e9b, 0x189d951f, 0xa76aec17, 0x6dc42a18,
+    0xe0d6c323, 0xefb1f344, 0x0c887c1c, 0xf5de0439, 0xd58159e7, 0x1249272c, 0xfada7606, 0x28e5df44,
+    0xb1d5a960, 0x76f99564, 0x30793705, 0x30f1bd4f, 0x15f53606, 0x6cc957c6, 0xb3a3b74b, 0xc4de6527,
+    0x69157bfb, 0x41673f65, 0x64280d98, 0xf0fe367c, 0x81068c17, 0x4527cae5, 0xc679310b, 0x26d1374f,
+    0xbf96182e, 0x0e1f09b2, 0x7f30567f, 0x31919da6, 0x3ebf4d18, 0x17b1cbab, 0x960e2166, 0x77fb32bd,
+    0x1ded4e8b, 0xccfaea6a, 0x9702d974, 0xcfe177fa, 0x9b91c9e7, 0xabc66a11, 0xa26e5fcb, 0x24154ca3,
+    0xcb750774, 0x0ad7a8b6, 0xcd6ba2b0, 0x1b400075, 0x6b6653fe, 0xb23fcc62, 0x67fb78dd, 0x8f085181,
+    0xd685b2b7, 0xef9f9975, 0x01d5e647, 0x5e9b995a, 0x6dfb24fe, 0xd3c55ba1, 0x6241c382, 0xf0aaa4b1,
+    0x044e72d3, 0xd9dfce22, 0x2df643d7, 0x0ee720ed, 0x11b02c22, 0xd3a2dbdf, 0xcceac72b, 0x32d15dfe,
+    0xc26d9757, 0xa567de27, 0xe7a5d656, 0x1153184a, 0xb80015c5, 0x5753939e, 0x95c0b8ab, 0x432b9bc2,
+    0xa7330332, 0x3db7f77d, 0xd133a46a, 0x279eadb0, 0x3d64cead, 0xe261d90f, 0x225e276f, 0xc84324e1,
+    0xf03e78c6, 0xe5a35026, 0x95c1cbe6, 0xb4b65635, 0x70455534, 0x21948f8c, 0xa280dbda, 0xb33e6c4e,
+    0xec31cede, 0x63359d85, 0xdce8c336, 0x3a16bc22, 0x911c5f31, 0x55ebd831, 0x5f2f1853, 0x81195e6e,
+    0x20a8f419, 0x9d26a458, 0xe6064a98, 0xf3a1c4bc, 0x5db8d2b3, 0x2a29ecc2, 0xfaa808ac, 0xd72eb6bd,
+    0x27136cc4, 0x89a1f289, 0x398039db, 0xe9376a91, 0x0213f246, 0x06aa4fc3, 0x27a9153b, 0xadaa6ffd,
+    0xf3daa32f, 0x6baf8abc, 0x4ff4fb3b, 0x784cc4aa, 0x2e1222a2, 0x28275d02, 0x9008836d, 0x51dada62,
+    0x493a691e, 0xe95d28c8, 0x41a95bf5, 0x385c980d, 0x866f5a16, 0xec385d80, 0x9d0ffc06, 0x321b0005,
+    0xcbf10aad, 0x84589b4b, 0xe4ca278a, 0x75b6d539, 0x5a693464, 0xb203a0f0, 0xe7f08e04, 0x38aeed25,
+    0x05ddc451, 0x9524a5e8, 0xdc6e4e82, 0xe4b60766, 0xc493e9ff, 0x375859c7, 0x78be9dab, 0xa23b879f,
+    0xdc6d9225, 0xe3eb3063, 0x606eb293, 0xc59efd1f, 0x3efe9774, 0x621a5aa4, 0x009365f4, 0xc82016b0,
+    0xd8cdf022, 0xc1410591, 0x5275cae4, 0xf47cf8d9, 0x8abbfe23, 0x4419b7ea, 0x1aa4c249, 0x42ba23ff,
+    0xbc68f078, 0xe226a45a, 0xbd9a958f, 0x2ec5fcff, 0xf5477c37, 0xaeb603f8, 0x69136bc7, 0x448da0df,
+    0x76f7a011, 0x609377ca, 0xb4e7e064, 0x1d6ef079, 0x309a09e1, 0xea3d617b, 0xca8b8185, 0x850cba47,
+    0x3ce9d85f, 0xea382e89, 0x5247bb66, 0x359ef99a, 0x56f80c3d, 0x6e8a16a4, 0x84e4bf5d, 0x6a1a4924,
+    0xbe7ec82e, 0x4e26076d, 0xb1d026ef, 0x4d1cd524, 0x035f7212, 0x2f171d7f, 0x00c66abb, 0xecfb00e6,
+    0xdcf31f6c, 0x5955efaf, 0x7dfa0975, 0xcf4c6679, 0xaa8d3816, 0x2e1d6d67, 0x5d07646e, 0x2e31a9b3,
+    0x7f0192ec, 0xa2cdfbb6, 0x36db813b, 0x044f2569, 0x39a7bcfb, 0x9e92ac10, 0xcc88dd77, 0x956124a6,
+    0x8d9e4b7e, 0xc27aa30b, 0x5bab58ea, 0x70a1a2a2, 0x06a6b23b, 0x76543c1a, 0xcc4395f3, 0xcfe0f8f2,
+    0x72eac522, 0x57f28aff, 0x5aa1d833, 0xda7abceb, 0xf88d1c61, 0xb2dada24, 0xed635475, 0x5501df87,
+    0x63d90e22, 0x60b5b634, 0xd82d9541, 0x441c2a6a, 0x607187e4, 0x808cd09c, 0xacdfb94d, 0x616b4289,
+    0x1c6121d3, 0x09d47de6, 0xb95a258a, 0x8ca47ca9, 0x0b7a6dc6, 0xc0afa489, 0x6b74af0b, 0x9461d308,
+    0xfa424642, 0x8a11534d, 0x630e0298, 0xb83d7872, 0x68ada43b, 0x7ee53914, 0xba9531e6, 0x7fff8dd9,
+    0xcbd1eab5, 0x1facfcca, 0x3a92690e, 0x04b89df9, 0xa13248f4, 0xaa9ac161, 0x2fc08b59, 0x6d3d2576,
+    0x79674efe, 0x13e3af31, 0xf2736ec5, 0x05758d05, 0x7c28db28, 0xc824e7aa, 0x89d8c396, 0x04e539c6,
+    0xc393ac49, 0x43f8e936, 0x58bf0403, 0xe213a72d, 0xd5e0c6f2, 0x3daecc6b, 0x99b2fad6, 0x9cf6981f,
+    0xd80df45a, 0xb8829613, 0x2bb863ec, 0xc568624c, 0xb41e15f0, 0x04e239c7, 0xab4fd1d7, 0x1bdc4001,
+    0x6883d6c8, 0xac94c69a, 0x6ea0b8b6, 0x8fd814d6, 0xae2dfff6, 0x564287ca, 0x3d185ee3, 0x2dfdef15,
+    0x03da6302, 0xc13a2d98, 0x551a3a47, 0x4bb4b12c, 0x8385864b, 0xb445124c, 0xe224dbea, 0x695fbca2,
+    0xc2b50ddf, 0x1595780c, 0xe6d1ff82, 0x6302b511, 0x6d6f8884, 0x8ba2298d, 0x142799f3, 0x130981d9,
+    0x51a73c40, 0x423f2fb8, 0x4cf1b130, 0xbd9e8e0e, 0x808f47b9, 0xa8f6b643, 0x1aa719db, 0x4ae997cd,
+    0x17a2f013, 0xdb30feda, 0xb761ac4c, 0x4ae1597f, 0x31454176, 0x0e0b8d78, 0x3aed02d5, 0xa133bfa7,
+    0xf33b4448, 0x2df8dba8, 0x83ef6d0f, 0x9222cb45, 0xf45c32e4, 0x2f0aecf6, 0xba793271, 0x195d2b81,
+    0x07b1cfcc, 0x48151f3e, 0xfdd40f2a, 0x0f648d88, 0x1887b2e8, 0x383ee257, 0xdd1c586a, 0xe02174aa,
+    0x99789f88, 0xdf7aa933, 0x15140515, 0xa74cdee3, 0x0d73a390, 0x12445226, 0x607c96b8, 0x6b2333ae,
+    0x2e409483, 0x398c872c, 0xeca49082, 0x82d1733d, 0xa9073eff, 0xe085479f, 0x4d4b17c9, 0xae9366f0,
+    0xe8a94c06, 0x1c483b7a, 0xb9dc932f, 0x97243db8, 0x536b6439, 0x93bfa47c, 0x372a869f, 0x0b1b3fce,
+    0x57f0fd5f, 0x3661ef7c, 0xff282397, 0x1450180d, 0xf203e362, 0x2a47c360, 0x75607f4e, 0xb7d4206e,
+    0x2a3e07a9, 0x34fd2d14, 0x1c0b7c45, 0x10a0fcba, 0xf33dc2bb, 0x324898ad, 0x886b672c, 0x49517488,
+    0x3cd78779, 0xc1c97f89, 0x38e312b6, 0xe09ae30a, 0x79a5c0a1, 0x805607b2, 0xfa1a00cf, 0xd9b97e82,
+    0x58fb0230, 0xe82ac707, 0x6a22c900, 0xd9e96a75, 0x8c9a57ba, 0xb01b86b3, 0xe69a7858, 0x39ff39ba,
+    0x329ca54c, 0xf1686fc1, 0x62be5da4, 0x4fc71ee0, 0xc96a2156, 0x327c7b2e, 0xc8d41357, 0x878df5fb,
+    0x1ea1fecd, 0x9033418b, 0x97329692, 0x4edfcdb6, 0x5f85a100, 0xaf8938f9, 0x88388afa, 0x3e2b8013,
+    0xf73940ba, 0x4865131b, 0x23fef7ad, 0x33d6ff9e, 0x7bc7a707, 0xc16609cf, 0x3e6418cb, 0xcb1bdc99,
+    0xb6eb2d2a, 0x901e7178, 0x8bb86b4e, 0x9a4b1ade, 0x63a7212c, 0xf581b317, 0x2c2445cd, 0x385dde01,
+    0xd4ec82b5, 0xfafcd358, 0x46053dac, 0xa8724e55, 0xbfa6007a, 0x16fa89a5, 0x4409b942, 0xb0997e2b,
+    0x5e9acdfa, 0x6bad7fb0, 0x0e7ea3d2, 0xb716ed4d, 0x0e22c8a7, 0x51a39bdd, 0x992a79f7, 0x7be72929,
+    0x459dea7a, 0xd22162dd, 0x3aa7eb2f, 0x691eb10e, 0x1ffd1e45, 0xa75e3180, 0x2047b9ca, 0x17850659,
+    0xd95582cd, 0xb0d0b2bb, 0xde6cb383, 0x1934167d, 0x34b3bebb, 0x037d5560, 0x6742ee4b, 0xd48d1661,
+    0xe418e343, 0x017874ae, 0xffaad27b, 0xa8ac356e, 0x9087bc77, 0xc3edd1eb, 0xdd8f5750, 0xad82310a,
+    0x5666a6a2, 0x5bb56cc4, 0x9396c0d9, 0xbb62105f, 0x279aa753, 0x23384697, 0xe43fc4c2, 0x766871cc,
+    0x6935d287, 0x51464227, 0x0450e108, 0x9a9670bd, 0xa620fae3, 0xfb4c1f19, 0xad53b0cd, 0xda3f3948,
+    0xe82ae744, 0x54b4b410, 0x552d827c, 0x7906ec6e, 0x787f4520, 0xea0e2998, 0x25c6982a, 0x672c122a,
+    0x641d8461, 0x4c35f0ef, 0xddba5359, 0x53ef3c3d, 0x59f17a70, 0x7d7cc4f2, 0x508a4705, 0x0bb165c6,
+    0x50614012, 0xb8757930, 0xf2b73d3a, 0x40e00243, 0xc53266f9, 0x2f0aefe0, 0xe7cc53c7, 0x468b5cac,
+    0x3a14d127, 0x6971e7ad, 0xa49a4ff0, 0xc86bc9ae, 0x6f5ead2c, 0xc8b0aba6, 0x2c016b92, 0xce35b247,
+    0xac792c33, 0x1a03f1f1, 0x0b61d0a3, 0x90e97acd, 0x08f7e70f, 0x4c3dc1bf, 0xe87dc928, 0x3f473af1,
+    0xd56008d3, 0x5e6e807a, 0x238a6507, 0xd52ff874, 0x0116c5f4, 0x5b54a3fe, 0xffa36c6f, 0xc82cab5d,
+    0x09503b44, 0xa0274410, 0x8d1e3d16, 0x22f72a50, 0xbaeb4cf1, 0x3c951b9e, 0x0da59674, 0xdbe7790d,
+    0xd40b18ef, 0x611510ad, 0x8960527e, 0xb1cb0a88, 0x41322437, 0x4a7be407, 0xa8476052, 0xe197636e,
+    0x691e86cc, 0x50b90d13, 0xcd3d8a5e, 0x7982db38, 0x7b7be765, 0x9ebb9b35, 0x7b9ae97b, 0xa09747d2,
+    0x698c7c87, 0xcb3b4595, 0xdba9c6b8, 0x1501d782, 0xa9c805b0, 0x58180cbd, 0xc4f18121, 0x51853ee1,
+    0x9ea3ee8b, 0x28df1321, 0x641eeb87, 0xb6a121d6, 0x08067ab7, 0xb7902fff, 0xe085ca62, 0x599ba3f4,
+    0x8462905d, 0x3bc5d1a4, 0xc12b8381, 0xa05f1417, 0xe800564d, 0xcbfec8b8, 0x06e0d496, 0xa6f2e68e,
+    0x91b6e4b6, 0x6193442f, 0xbe2433c9, 0x2870c14d, 0xf9363a14, 0xe91ca92a, 0x7c90710c, 0x12ea8a63,
+    0xb8b8a18a, 0x174a5441, 0x2699193a, 0x4cf6e95c, 0x8b6c6544, 0x57a3fc5b, 0xfec04a22, 0xff87a86e,
+    0xceb91ccf, 0xce7aa382, 0x6754f775, 0x41df7799, 0x683df2ad, 0xe58523e2, 0x9561aaf7, 0xa8c5f579,
+    0x697a9ad3, 0x0289c112, 0x6e459077, 0xa062b598, 0x9d873895, 0x5ddc09dc, 0x93ec3712, 0x9916fb37,
+    0xf8ef8ddc, 0xaf22055c, 0xa11e3374, 0xcb51d5c5, 0xf66a987c, 0x1bff647c, 0x3553df2c, 0xba07e20d,
+    0x2b8c067a, 0xc5fa729e, 0xd3a37e14, 0x927f54a2, 0xda0f4b06, 0xe6ec1f0c, 0x702f0349, 0x246f892a,
+    0x75353877, 0x6777d25a, 0x802faab0, 0xacd79d72, 0xdf1c7e96, 0x0b6c14c9, 0x772a2f48, 0x11643663,
+    0x953e0b24, 0x4bf47114, 0xa878a84a, 0xb621690f, 0x274ea6e0, 0x200da6c8, 0x7af18db4, 0xf417d2f9,
+    0x3e14292a, 0xf1bc3adb, 0x6184bbe1, 0x1c816044, 0xb9e4d11f, 0x74eb081a, 0x03ed0755, 0xd289f5b1,
+    0x16d58f94, 0xfe1cab7d, 0x902555b9, 0x464ce5f6, 0x616ba100, 0xbc5f10d8, 0x6dee52b1, 0x75fc2c76,
+    0x35c01a62, 0x62a71be4, 0xc17d51f8, 0xa536f12d, 0x4b1e0aaa, 0xf129b801, 0xada990e9, 0x40a6c07a,
+    0x252e7874, 0xc8182ca1, 0x1313a0d1, 0x07b0adb3, 0xa9e9ac82, 0xfc9fe024, 0xaec1d573, 0x095d284c,
+    0x02b065b5, 0x945f580c, 0x47c16507, 0x340759f4, 0x9bcd78f5, 0x07ec0a0b, 0xe3cfeedc, 0xb003d9a7,
+    0x230c9480, 0xd3043755, 0xf50a8f34, 0x4d5fe1c4, 0x00dac4f4, 0x2e675798, 0xed8cf4b2, 0x22552ada,
+    0xe8d3c04b, 0xa4732d81, 0x6d9cf380, 0xb827b523, 0xb95731ae, 0xfeb66bc2, 0xe840618b, 0x8e7cde95,
+    0x03b94128, 0x46148569, 0x3a41f0a9, 0x6633cb5c, 0x03a16ce7, 0xc79b9d40, 0xbce4ddc4, 0x311d34c0,
+    0xb3ce8c7b, 0xaaf9b6e1, 0x10477c34, 0xbc816c4d, 0x2345830c, 0x2e6c6d56, 0x01074696, 0x470061d5,
+    0x9b059587, 0x280d1b97, 0x45204195, 0x064d6ed7, 0x998d50ea, 0x4cd4ab71, 0x9029a687, 0x02fd032a,
+    0x7713c72a, 0x771c0324, 0x86e43653, 0xcfec61fa, 0x0c58d7cc, 0x17753a64, 0x343bafa9, 0x1ac27478,
+    0xd49d751c, 0x7f742f64, 0x6f4d3d78, 0x16b21715, 0x89273a63, 0x6eb5bda6, 0x3ee73874, 0x1b7fa8d4,
+    0x2ae544e8, 0xa00b7c62, 0x259ecbd6, 0x10f0fd20, 0x78da6730, 0xf4901657, 0x8835a1be, 0xf9df22e7,
+    0x77f2a356, 0x9aadd17d, 0x721748b4, 0x67f5c6c7, 0x591aff39, 0x4d3c9d32, 0x34e35f4d, 0xb2bb1189,
+    0x6fa57b1e, 0xe311c348, 0xc9a9d14f, 0x00ca45e1, 0xc89e49a9, 0x359f791a, 0x4cfd63a4, 0x3e9b2ce5,
+    0x8ea178a1, 0x2bbdf780, 0x0593b344, 0x8a126463, 0x4096627f, 0xd7cd79eb, 0x0e181bd1, 0x86004f2c,
+    0x71f83a5c, 0xc97952bb, 0x144cc241, 0x3b5312dc, 0x5b7fc727, 0xe90b11af, 0xe782964b, 0xb316bb4e,
+    0x454cbb80, 0x4a63fde0, 0xd8e2e91e, 0x248c552f, 0x72dbb23c, 0x3b8b0740, 0xb0f57ae1, 0x1ee68cbf,
+    0xb3af0024, 0x625a0471, 0xccdb7603, 0x57d022bc, 0x5ec9c658, 0xcb0d1daa, 0x15145959, 0x9b5e2beb,
+    0xc26b933f, 0x3b4a464f, 0xeb400fe5, 0x0d75cfb3, 0x189485b7, 0xa9f16ebb, 0xf56e4a63, 0x416145f1,
+    0x241ae31a, 0xf82d57bb, 0x02631322, 0x0504401c, 0x4add93ca, 0xa38bb09b, 0xf1cffe5f, 0xd79865e3,
+    0xe65f4098, 0x4510fa8e, 0x9949bbc1, 0xf8034b9a, 0x447f53e9, 0x93b7621a, 0xdfa33ff0, 0x9efa6534,
+    0x393344a5, 0xb8ed8fa8, 0x743c4fa0, 0x60a9f020, 0xcd1a36dd, 0x36c829b1, 0x46925770, 0xed4a4157,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000001606938044258990275541962092341162602522202993782792835301376 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6f, 0x675a9d22,
+    0x00000000,
+    0xac1ab37b, 0xc4881e7c, 0x4214df15, 0x5161d888, 0x257c8729, 0x21e5a9ab, 0x22b4e005, 0xcb891ab8,
+    0x31d59e03, 0x7149f8fd, 0xd8fac93b, 0x6ed53584, 0x3fcca99a, 0x6da62472, 0x39be1e0b, 0xeb4a59b7,
+    0xcce2a78e, 0x3910e16d, 0x8d3c1f3d, 0x4b1bef13, 0x8a80d700, 0xe290ec3d, 0x10eb1216, 0xfdcfa831,
+    0x959e6ea7, 0xdf582824, 0x3147bb08, 0x1e3046b6, 0xe68bc68a, 0x799ae305, 0x53af8a1f, 0x5c65eb44,
+    0xa67cf7fe, 0x0e09d893, 0x6565a695, 0x32ce99d7, 0x90d2116f, 0x32e79699, 0x7c0f848e, 0xa0bd5e73,
+    0xb2925f35, 0xb4376bf9, 0x9ed6793e, 0x5b9ffd11, 0xbfc4bf29, 0xc007dfb1, 0x48acb534, 0x9bd4fb90,
+    0x45e2d0c1, 0xb476ab44, 0x7e420e92, 0xe6996b6d, 0xcfffa49e, 0xe9f175fb, 0xc4be968d, 0xdc3b7474,
+    0x21262277, 0x2a0cbaaf, 0xd0d7487c, 0xd4b17f1c, 0xcb58fd37, 0x7006463f, 0x83dc3c12, 0xe4ea9101,
+    0x3ecbe2bf, 0xbd475f5f, 0x560af0d9, 0x9c62f102, 0x1143f30d, 0xbcadeb90, 0x3c1745bb, 0xb73a03fe,
+    0x7a648834, 0x9651743f, 0x162cf2f3, 0xc34a8d07, 0xe06acd9b, 0x4e1a7d41, 0x12f8540d, 0x43fa751f,
+    0x1c859a2e, 0xc57d0da9, 0x4f31309a, 0xac130a8b, 0x48125e69, 0xc5e24c30, 0xca174251, 0x2793e986,
+    0xbf20df20, 0xf8797cb4, 0xb11634d0, 0x5408df6a, 0x9ea48cd6, 0x92c20c30, 0x654d8a37, 0x1cff70fe,
+    0x51e65273, 0x75a6f33d, 0x3de86261, 0x9c15d622, 0xddded70d, 0x4f2020b1, 0x52f854b5, 0x242dfd19,
+    0xf0584bb6, 0x6f350851, 0xa88d8a1d, 0x3ba252bd, 0xf5eca591, 0x1c541aaf, 0xdc1accfc, 0xbd641845,
+    0x50dcaba0, 0x64e20ede, 0xbfa92565, 0xb7937a24, 0x81bdd8f5, 0x074b3abb, 0x38110df5, 0x917e8cb7,
+    0x5a5902b6, 0x9b2b25a4, 0xb7abc5fa, 0xf29ea578, 0x519ba558, 0x29ee93c3, 0x14f2fa4a, 0x18f4bb80,
+    0x52982494, 0xc3119cc8, 0xd60c098c, 0xf6cb57cc, 0x4796cf29, 0x2ae53aa6, 0x05359ff1, 0xbc50fe45,
+    0xd1b990d0, 0x2eec4e2e, 0xd6326c7d, 0x9f5323ce, 0x03402aff, 0xa27685c7, 0x50c348f4, 0x8875988d,
+    0x045a382c, 0x745c2aee, 0x9a8a3af1, 0x5abe7ab1, 0x825d8d60, 0xcba028dd, 0x944788a8, 0xdca377bc,
+    0xf80779bf, 0xbb721776, 0x79dad3c3, 0xf9c2c1ef, 0x5352a2b9, 0x579251a6, 0x462fbbf0, 0x7297ee68,
+    0xbc649dbb, 0x8971c2ff, 0x796e9eb4, 0x883a54ce, 0xac04dc50, 0x213fa937, 0x6ec10d9b, 0xe7403133,
+    0x2641c015, 0x8a93eef0, 0x4d769bc5, 0x67e5ef82, 0x390c8fdc, 0x6205da42, 0xf6a5a4c8, 0xf42f2e78,
+    0xb1c26822, 0x8c5e544f, 0x6db625f4, 0x05631b8c, 0xc6d328fd, 0x13e6cb8e, 0x79f2d4e7, 0x13edcfa9,
+    0xcbee5bd7, 0xe9ca1af3, 0x96148304, 0xbd84f4eb, 0xa8e32882, 0x71cc31c7, 0x338d10ca, 0x788a8ed0,
+    0xdca71156, 0x011ac583, 0xce40dac4, 0x2df9ca0e, 0x42b45841, 0xa60fc20b, 0x36b2728c, 0xfb771dc3,
+    0xea0868c1, 0x66ba6869, 0xbda83f51, 0x19a44c4c, 0x6c4cba94, 0x5a488daf, 0x82791141, 0x68581a33,
+    0x38b87538, 0x342b8fd4, 0x2fbf1177, 0x66ebf650, 0xe1059f44, 0x28842399, 0xf454513e, 0x25bd4827,
+    0x49a99633, 0xb4279817, 0xf3d059c7, 0x5a9ddc02, 0x33b9e1eb, 0x25b35188, 0x1501864e, 0x9805b2cf,
+    0x1dbaa51b, 0x7b2c1410, 0x1dcb634f, 0x86a8d3a1, 0x8bb628ce, 0xe8d393a6, 0x7a425bf8, 0x60f6c294,
+    0xe1dbba32, 0x5783aa50, 0xa17659f1, 0x6d17c068, 0xc216859b, 0x24af3f66, 0xcd6f4c04, 0x4774141b,
+    0x6284f956, 0xa7fad3ea, 0x56c98d9f, 0xa93ddc35, 0x9a2f0459, 0xd7d89443, 0x7a33c029, 0xb670779e,
+    0x9669f364, 0x9816583f, 0xdcc1a9f5, 0xd420df01, 0x88ccdda8, 0x43c31d4c, 0x98bd212a, 0x8b9ee1d3,
+    0xeb4900ed, 0x7a506d03, 0x2ec156cf, 0x4ed13f10, 0xa574a6e6, 0x00bafa7c, 0x2126b28c, 0x0b4bfd6d,
+    0xa18050b3, 0x9779e8c6, 0x81614b96, 0xb447bbb4, 0x89396737, 0x63460450, 0xb5fd2a6a, 0x3475dbc6,
+    0xfe79aee4, 0xa87163e4, 0x9f4b064c, 0xaa922228, 0x6fba9b5f, 0x38d1bd73, 0x392a0a87, 0x1755e402,
+    0x9cb14e1e, 0xaee3abb5, 0xb309fe69, 0xb886c3c0, 0x9f3f2045, 0x5d4eedfb, 0x07378056, 0xcc30339f,
+    0x1e814480, 0x0f06c5ba, 0x7eefcec8, 0x62b93f66, 0xec2e46c2, 0x0cb79a94, 0x572e9afc, 0x89348946,
+    0x8a3378e1, 0xbb8b95f2, 0x90efee8c, 0x5035e2b7, 0xd9a27191, 0x6a9113ec, 0xc87df3f5, 0x89c9ede4,
+    0xe0bf6f12, 0xf6c831e1, 0x412d64e0, 0x925e440e, 0x94b12dfa, 0xa4f0dbb4, 0x785ad41e, 0x2dcd4103,
+    0x1b35ac8f, 0x17710269, 0xbd0dd1e7, 0xc6c0dfd3, 0x8bed3953, 0xe3111ba8, 0x9ac8b242, 0x0e373d00,
+    0x0db7c10b, 0x90257638, 0x7c64360b, 0x594c216a, 0xc3e95c3e, 0x3da7f044, 0x308e2285, 0x7d5f6042,
+    0x75281310, 0x62c6e921, 0x4b8eb397, 0x2a593339, 0x7f35d8f9, 0x575125b4, 0x395d59c6, 0x8a388332,
+    0xbf73faca, 0x03b712d4, 0xb7fb8e4c, 0xdc330d20, 0xeb9873ea, 0x741da86f, 0x2a9f77ff, 0x88c7a9cd,
+    0x5314bc31, 0x69c34759, 0x7cf88b8a, 0xcd5a714b, 0x9266c206, 0x01267974, 0xfba810cf, 0x328a92c5,
+    0x58f96e7d, 0x2bb76b4e, 0xc473f06c, 0x78894021, 0x0db2eb61, 0x75c0ff97, 0x122dc218, 0x2a287191,
+    0x7e5955fa, 0xf1e0ba66, 0xf6614671, 0xc1e1813d, 0x1392e882, 0xaeabc4ac, 0x811cf1d0, 0xffd9414b,
+    0x55e97f50, 0x94f1a275, 0x1563eeee, 0xcc16e43f, 0x8a1aaa76, 0x6c30e1d2, 0x66d6ada0, 0x5735064d,
+    0xe1657db9, 0xd497224f, 0xa61df525, 0xed3f3c5c, 0xdc6f2701, 0xd1720123, 0xf18f6400, 0xf0481f3c,
+    0xbd8debad, 0x2fcf5a88, 0x93274236, 0x3f072635, 0x30c4cda6, 0x98f0ee32, 0x9a3eefb5, 0x0c5d87de,
+    0xacc9321d, 0xe7638aa1, 0xbc21b3fc, 0x0bcfb39f, 0x5c834e7d, 0xf7900462, 0xd634c5a9, 0x7ce627dc,
+    0x0dfe7db6, 0xf7a43ef5, 0xf9228877, 0xf5b3521c, 0x429eb1c1, 0x4bfde3c9, 0x6d4fc2d0, 0x2539b37d,
+    0xe821fca3, 0xc149e4e9, 0x820b67ca, 0x4876206d, 0xc3914abc, 0x9c3aaa4c, 0x8cbbf293, 0x7bc56415,
+    0x18e75487, 0xe99facaa, 0x14c6db55, 0xfe6b1ad5, 0x9a53bd16, 0x97d14465, 0xac3e0282, 0xec4cacff,
+    0xfe0deff9, 0x4876d13f, 0x439f7ae7, 0x88a63464, 0x7a9308b5, 0x81a9248e, 0xf3f3699d, 0xf918773c,
+    0x0b46f61d, 0xeec8c0a5, 0xc14af5a1, 0xe05af2a2, 0xb1a75f11, 0xbb6a000f, 0xb574885c, 0x5f2cd5c6,
+    0x1663a5cd, 0xf06b73cb, 0xedb8205d, 0x65c88fcd, 0x13576a9e, 0x9a8dd581, 0xe2811838, 0x0805ebda,
+    0x6fb96f2a, 0x9bd4c2f2, 0x15abaab0, 0x07c06c02, 0xe1f23d07, 0x2a67dbb9, 0xdb9912ea, 0x884a1418,
+    0x1c02e84a, 0xbe49e5b3, 0xb244eefd, 0x3954c518, 0x53ace179, 0x3643784c, 0xec62a0e1, 0xdd35a068,
+    0x0710e5e2, 0x44e9fd8c, 0xc2f91b49, 0xfcf268c9, 0x93bbf7da, 0x8e505f33, 0xe875af7e, 0xe7019940,
+    0xe7884119, 0x0d97653e, 0x6bb4e403, 0x3c441f56, 0x0e312d6f, 0x856e40c6, 0x324645d4, 0xa4135c8f,
+    0x382d8876, 0x904e10ee, 0x15fa5c01, 0x6273c3c8, 0xb5aac840, 0x669fc2bd, 0x03a0a93f, 0x1b4bda77,
+    0x46cc0375, 0x06b6d8d7, 0x9395fe61, 0xaf5302f1, 0xb7ea9b95, 0x1de99cde, 0xe17fb16a, 0x33537513,
+    0xac5a6aef, 0x52283a29, 0x9d0fe196, 0xbf54ffa9, 0xec8af66d, 0x94865d41, 0x063c9c54, 0x81582163,
+    0x2d03dacc, 0xd79e4815, 0xdac319b3, 0x09a9d5f6, 0xea86c285, 0x66436bff, 0x8d3835e0, 0x724bc779,
+    0x113ac1ab, 0xc3297966, 0xe7bab6c0, 0x185476f3, 0xe39605f7, 0x12de6e07, 0x592d4e80, 0x470246c4,
+    0xd2426f48, 0xdc5787ff, 0x1afff8be, 0x9889b9ea, 0xbea5da06, 0x6363b504, 0x065c6a64, 0xf80a4908,
+    0x03e9c0b3, 0xdb5a32ef, 0xb50f965e, 0x2467e412, 0xa6d0a595, 0x7b4a729a, 0x788bbf7b, 0x42935ddd,
+    0xd15dec0b, 0x1103a553, 0xb9a11b15, 0x307012d4, 0x6acc2d18, 0x4a73f976, 0x5f0f54ac, 0x09b5c5ca,
+    0x1835f966, 0x3579661e, 0xd47a513e, 0x5e015ef3, 0x103218a6, 0xc16cff24, 0x1f6862a2, 0x9802cbbc,
+    0xffaf42c5, 0xaa792fd2, 0x523a9f4b, 0xed9c6d74, 0xa4c80f63, 0xa69a500d, 0x871bccd8, 0xec685bb5,
+    0xd3492fe5, 0xb5fcbb8c, 0xc3129260, 0x176361d5, 0x7d081d78, 0x417d858f, 0xd709221a, 0xe96d4259,
+    0x66cc6fc6, 0x653fa08e, 0xbb0de1d6, 0x80ec26d4, 0xf4667398, 0x878ef861, 0x488bdb66, 0x20f93aa1,
+    0x676c34af, 0xe696b12c, 0x9489e12f, 0x35f5e03c, 0x23fe5dc7, 0x18ac2621, 0x0377a030, 0x38fc42fe,
+    0x7c4b2a6b, 0x07e1da42, 0xabc56a95, 0x53f5b2db, 0x41e5f846, 0x4175201a, 0x0d4ea93f, 0x75c9288d,
+    0x6a2cf792, 0x78a4b011, 0xbc2e1018, 0x10aad3fb, 0xaeed1c90, 0x1a95c306, 0xa68b042b, 0x705666b0,
+    0x639c790d, 0x6d90a8f7, 0x96056035, 0xb9fa5b44, 0xe6da7aa5, 0xb7694932, 0x31023b13, 0x40e66bfc,
+    0x3f59bbbb, 0xe9125f48, 0x1980b9a7, 0x16e4ca15, 0x272d2a27, 0x7b78217b, 0x951e6552, 0x988a3056,
+    0xd5bdae96, 0xe8ce0189, 0x4046b1ba, 0xee544f95, 0xb14f2353, 0x98429204, 0xd48271fb, 0x378549c5,
+    0x16a439a7, 0x660cb7c6, 0x306a58cc, 0xbb882ef0, 0xc92bd1a7, 0xe67ef64e, 0x54c3b080, 0xf8f4a4aa,
+    0x550277fa, 0x7b355ce4, 0xae181a90, 0x7fe9e413, 0x2f80eb15, 0xc3ea7e6d, 0xd3a70bd9, 0xd12e3780,
+    0xfed0947c, 0x846fd213, 0x273cf7bf, 0xb57c8740, 0xe9ae6fb0, 0x073e9a54, 0x941157b5, 0x00c00fab,
+    0x9645b4c8, 0xc06b0845, 0x7ecde012, 0x4d0b92c4, 0x7814a0c6, 0x6f5b9f58, 0xe8659853, 0x95bc3f5b,
+    0x4fd79c0e, 0x562625bc, 0x91983ff5, 0x77b32531, 0x60ddbaec, 0xed50a216, 0xcacbf63b, 0x011f6a87,
+    0x433a371a, 0xabee5693, 0xb3c7169f, 0x5a57f231, 0xe4bf791d, 0x01d54aa2, 0x852b00d8, 0x17815169,
+    0x63270839, 0x9d9de47f, 0x55b198c2, 0x7f204148, 0x228294a7, 0xaa7710ac, 0x9c271691, 0x896772fc,
+    0x3a250142, 0x91bcbc90, 0xf75f186a, 0xa00eaafd, 0x9b5ba1fb, 0xb4c4a335, 0x1a5ee567, 0x541dd557,
+    0x3a73ab2c, 0x9efdd925, 0x183a0b5d, 0x5fc233b7, 0xf0e2ba17, 0x169a919b, 0xce46457c, 0x4f4be7d6,
+    0xeb086c26, 0xca6d87a1, 0x5ad49273, 0x6a130851, 0x07a71528, 0x1641d523, 0x316dbf05, 0x73c28c51,
+    0xfd766c14, 0x5ebae6fc, 0x6316e264, 0xb433aef7, 0x98d30093, 0xb54548a9, 0x119645dc, 0xa7f4faaf,
+    0x7c6a2489, 0x90749213, 0x32e669ec, 0x08b9d579, 0x6dd140c1, 0x47059ad0, 0x255ee8e6, 0x32392f86,
+    0xa2c27c61, 0xf325bb8d, 0x7ee33a40, 0x485d3dce, 0xd120e679, 0xf3e57a8c, 0xd02b7b8c, 0x590723c0,
+    0xc004bf38, 0xaa943cc8, 0x85df6261, 0xcaa5635d, 0x80281092, 0xcb82fbf4, 0xa9bcee1a, 0xe75039fe,
+    0x025dab2c, 0xf41795dd, 0x9206f85b, 0x57f82df8, 0xc513c5fd, 0xf831fc40, 0x07ddd361, 0x18aa9136,
+    0x5f600551, 0x9cea262d, 0xef0db7b5, 0xf0323a3e, 0x272ceb80, 0x452a8ca7, 0x2be0eaf5, 0xa695659b,
+    0x346bbfff, 0x452bdc9f, 0xc8ecfbd6, 0x78cfdfc2, 0x7361ebc2, 0x9964231d, 0x3d45dd3b, 0x047b20ab,
+    0x7c507202, 0x6c04b9e0, 0x09e52330, 0xc0d9eaf5, 0xfa1cc4dd, 0x0f049730, 0x5eab1284, 0x23f60e0c,
+    0xd65b5612, 0xe9988164, 0xe5de0adb, 0x0b97b952, 0x5b0e75a0, 0x5b86076b, 0xc0f4238e, 0xf6b045c4,
+    0xd21a326f, 0x6e64119e, 0xcf540803, 0x07e8be37, 0x10bad801, 0x4e419562, 0xaf6dddd8, 0x849b90d2,
+    0xda4ba9c2, 0xdda8396d, 0x2e11da7b, 0x94027ffa, 0xee9d39b4, 0xf5f97c07, 0x27962025, 0x5562c15a,
+    0x2942c69b, 0xfc242de9, 0xfaa4408f, 0xd1958c39, 0xf56cafc9, 0x433db711, 0x8526f48f, 0x81770b85,
+    0xd1a9ac59, 0xabaf6624, 0x41007400, 0x621cff58, 0xa7f7ad32, 0x53da30d3, 0x9ca655f7, 0x865421be,
+    0x07047cca, 0x25e3060f, 0x60d7f6f4, 0x77608c20, 0xc8831b02, 0x174ee1b4, 0xddd6e8a1, 0xf0d226a0,
+    0x747301ad, 0x4c9616f5, 0xc35a4c85, 0x0cec33a4, 0x90050efd, 0x714a0938, 0x85c25134, 0x67f4f473,
+    0x5a6e77d2, 0x12944d35, 0x8a0e3dc3, 0xf717d579, 0xcc229038, 0x88f4d663, 0x4372466c, 0x9df0ad02,
+    0x3c8e8db5, 0x1ceafa97, 0x9cad827b, 0x960fb9d7, 0x5d0cae12, 0xa33e0e51, 0x20d9fbf7, 0xd484ee72,
+    0x67fe69d5, 0xe817363e, 0x22717a59, 0xf545cd66, 0xb2b5cbc7, 0x54eccca2, 0xa9f6eee8, 0xb65b6e06,
+    0xd27e36ef, 0x071ee0be, 0x2620b71d, 0xfa7ca4b6, 0x2340b7a9, 0x032625f9, 0x98c81693, 0x2811393b,
+    0x6324ab19, 0xa313567d, 0xa4955532, 0x04eac313, 0x07918d9b, 0x1045afb5, 0x349e6817, 0x82f0bcf4,
+    0x3b56e4b6, 0xf3e83eb0, 0x5415b389, 0x3956c8fa, 0x4068c859, 0x223eaf3d, 0x61b97f35, 0xa79e8b43,
+    0x7d4a7b9d, 0xce008da6, 0xf2e41a87, 0xcf75c934, 0xb80540f0, 0xff0d9d07, 0x5a74aa3b, 0x58df4fae,
+    0x73190206, 0x53cf3f26, 0x60029931, 0x54c93b45, 0xcc47b3ef, 0x696b19d0, 0xb731f9c5, 0xdd97ad21,
+    0xaac1a649, 0x2f5e1686, 0x2eb5ce0f, 0xbfe4b2af, 0x2424743b, 0x657ab2ad, 0x009217fe, 0x51eadd3c,
+    0x0412a059, 0x50ac7899, 0x15f33238, 0x59e8ab32, 0xf62eb576, 0x43791987, 0xd41e3353, 0xc0dd7cf2,
+    0xe42bb1cc, 0x6a322d85, 0x04e243db, 0x9e34a8bd, 0x21a76833, 0xa9652c76, 0x2831a4bb, 0xcd59e3be,
+    0xbd0040c0, 0xc66eba54, 0x451bda8d, 0x39530ec5, 0x44406fd1, 0x280b69ac, 0xc1fd48b7, 0x867c554e,
+    0xd2d4990b, 0xc1aa7e8f, 0x20186f97, 0x95aecd15, 0x8f47dbaf, 0x85ad2b2f, 0xce131c3b, 0x270f061f,
+    0xe945353a, 0x7c89a1fe, 0xa11cbb1d, 0xc2aaecdc, 0x2d32e3dd, 0xa85e383c, 0xab644c0f, 0xbc670339,
+    0x600c2729, 0x82b49383, 0xaa2b887b, 0x307ec509, 0xcb8ce4d7, 0x6c13a0ae, 0x21c26874, 0x94d30d2e,
+    0xf417dd6f, 0x5ec71cd7, 0x5e1e9400, 0xf62dd7d5, 0xe7697f90, 0x97f1fdb4, 0xda12a87b, 0x7dfda6ec,
+    0xce5201df, 0x6bf5fb99, 0x39813d9e, 0x8033b527, 0xedd8510d, 0x8cde992f, 0x7d328c9b, 0x97ae1121,
+    0x7fc71be5, 0x5771be35, 0x268ef0e6, 0xa933e0db, 0x96405a93, 0xeb454c00, 0x450668b3, 0x6efca0ff,
+    0xd0810f84, 0x78758f8d, 0x032c62d6, 0x8716c7f3, 0x7742f067, 0x0e662ef0, 0xa59a41a0, 0xc07fca6d,
+    0xfe2e4fc9, 0xa0814559, 0x60ec4bae, 0x589ace65, 0x280e7e59, 0x44d82a66, 0xa5e2ec3d, 0xf8c7b2a7,
+    0x45aeef5a, 0x6cb7d7ae, 0x980288b2, 0x4f31a1f9, 0xbc1dbbe8, 0xc2cb8cfa, 0x2d5bdb14, 0xadf050e5,
+    0x410929a3, 0x89b1038c, 0x9810e8db, 0xb0614553, 0x8caa6e16, 0xaa8a596a, 0xef6c6f39, 0xd7ef52de,
+    0x47225183, 0x8b251e31, 0x7f8f9e27, 0x3333eaab, 0x56501367, 0xc24472bd, 0x44d02bee, 0x78268d50,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000803469022129495137770981046170581301261101496891396417650688 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe37, 0xb3ad4e90,
+    0x00000000,
+    0xd1e6d24a, 0x3eb3c982, 0x6326696d, 0x9a81f217, 0xd71fd486, 0x55ecfee7, 0x8446b414, 0x1f0a0767,
+    0x6dc911c8, 0x44b6c4f0, 0x2196b9e9, 0x97ad4e5b, 0xc232b6a9, 0x581a45a3, 0xd143831d, 0x0a88edf5,
+    0x87866dcc, 0x6a890d63, 0xaf51de91, 0x7b89d370, 0xef9d5f65, 0xd01081ba, 0xb5bbacb8, 0x7c7e50dd,
+    0x4842709c, 0x26564768, 0xc6c8df97, 0xe38598ac, 0xe80227a4, 0x0cd182a0, 0xfb27c4cc, 0x880277d7,
+    0x1271e629, 0x3a3feb86, 0x2776e7e1, 0xcfd358d4, 0x21910766, 0xf652e328, 0xc1d5c467, 0xc70f1625,
+    0xc6b5c79a, 0x7fbc7a61, 0xeb01bf94, 0x1e51c040, 0x8c04fd37, 0xb7b07f2c, 0x2c89f8a7, 0x985ac160,
+    0x1c22f12c, 0xdbc3746b, 0x565738f3, 0x9aadc869, 0x643e3ba7, 0x9c66a038, 0x87f6ae0c, 0xe8af9ea7,
+    0x59fe6771, 0x229daab0, 0xb7e2ab04, 0x0ad08188, 0xb94c6a35, 0xc9a8be14, 0xb03d701f, 0x275bae3b,
+    0x5d82a32e, 0x2f0592ca, 0xe595b653, 0x8c12c8c3, 0x4e764e04, 0x9d7bec89, 0xfe0ce4f6, 0x30d9bec6,
+    0x48d53f27, 0x0c69b568, 0x8d322b4c, 0x80cea5df, 0x68910714, 0x18c08cb2, 0x29b13d01, 0x42ce86c6,
+    0xa9ac2739, 0x75958885, 0xb2915bc6, 0x484650f0, 0xec3a4953, 0xd5ade253, 0x020b608e, 0xba1b560b,
+    0x047d4898, 0x0583633e, 0xbf931ff5, 0x782b706d, 0xe66be755, 0xdb132d0e, 0x4d4d6a6e, 0x918b6975,
+    0x8b124a55, 0xa8560717, 0xa7d4423f, 0x7c5ac1e6, 0x2e2bb841, 0xfb7eeaba, 0xaee7501a, 0xc35e63e6,
+    0xb587b19f, 0x9f15e1ca, 0x9a679b61, 0xc4da6e18, 0x24aeca3e, 0xb035a1ea, 0x2ea4ca63, 0xb5a939e6,
+    0x22b86082, 0xd84f0a2c, 0x6e106172, 0x918a009e, 0x5ca2eae1, 0xd244db05, 0xcd93ef32, 0xe1947d7e,
+    0x988c725a, 0x9776e3b2, 0x8aa11da5, 0xe263aa20, 0x7888c1d4, 0xa22a291f, 0xee3e3bab, 0xf82f184e,
+    0x1d5a1799, 0x41c74b06, 0x4cf82642, 0xd8557334, 0xec88a7a4, 0xcd2a18c6, 0xffd049e5, 0xcd6a8b54,
+    0x02946aa8, 0x35e30d9e, 0x4352567e, 0x75882979, 0xe7cc863d, 0xf563dfa1, 0x154388ca, 0x8c39d348,
+    0xf6876b3c, 0x0e42e792, 0x2c3b5e6f, 0x282fbb6c, 0x52ba78d0, 0x12904622, 0x31ead9c4, 0x4adc16f5,
+    0x9b18d48c, 0x062c6c9e, 0x389da1a6, 0x5e1946d4, 0x95c8d42a, 0xd743dfb4, 0x39625b52, 0xafa21e5a,
+    0xa672bfc2, 0xdbba60bb, 0x27f58340, 0x4b306a3e, 0xa98a3369, 0x59a5c6f0, 0x1fdd31f2, 0xa4f374c0,
+    0x9a16215d, 0x7c05d737, 0xdcfa680d, 0x57d87d78, 0xac9a6ab6, 0x55bbc06e, 0xb3d2133e, 0x48205f24,
+    0xe4d39429, 0x00993ebc, 0xd5a90430, 0xf6df5217, 0x768f1d7d, 0xc9bc3210, 0xc9bfcfd9, 0xdb6e6e24,
+    0x3a262238, 0x34d17a2f, 0x7526944b, 0xf61993f8, 0x57b14fb1, 0x20ec4acc, 0x1a494d59, 0x0b46c8bd,
+    0xa1eded52, 0x76e79d17, 0x5bb1f139, 0x49a1beb9, 0x68a07a83, 0xadf06a6e, 0x6d41810e, 0x2f879dc8,
+    0xb30816a5, 0x67dc7742, 0x831e4f63, 0x122d2a3d, 0x37fba0b9, 0x38ffe74e, 0x376e91f4, 0x8a6a4837,
+    0xbb32efcf, 0xca564522, 0xc0da85f9, 0x4fca67c7, 0xf053f94f, 0xdd34f0ca, 0x68e885d1, 0x0e1388e3,
+    0x6db7e90f, 0xd6c3869c, 0x6c999e60, 0x5fa60e2d, 0x30fab03f, 0x0a7d9df2, 0xae2cc654, 0x743baae7,
+    0x9c543269, 0x8de773bb, 0x1197970e, 0x5897f986, 0x1775b0ea, 0xcb91af74, 0x16ce92b7, 0xa6d5b119,
+    0x3eb989ab, 0xc40acec7, 0xdfa50541, 0x7144b185, 0x02d7b530, 0x261ade0d, 0x97049c01, 0x79aef8f3,
+    0x3eef3ad8, 0x1aa8d30d, 0x99fe4516, 0xc01064d0, 0x7dde8513, 0x19f3a589, 0x880b1c2d, 0xf7d41356,
+    0x9202fcee, 0xdc60dd6e, 0x5531d4e9, 0xe54df11b, 0xfc80d8b2, 0x31b549ac, 0x5cef0170, 0x124f8662,
+    0xe819557b, 0x71e0ef83, 0x05206e33, 0xaff8ef4d, 0xb22546c3, 0x3f78de57, 0xf1cfcaab, 0xa9e1637a,
+    0xebb71b4f, 0x1a72c377, 0x3c08fd22, 0xa0506d20, 0x3a4492fd, 0x332f9159, 0x0b63f6c0, 0xe91b6cf6,
+    0xe3efbfb7, 0x9b7bf53a, 0x6b3a2a59, 0x75a4261a, 0xfe18d457, 0xd0c60a9a, 0x4ec1ce91, 0x83c76ee6,
+    0xd5264832, 0x4e016d91, 0xeec8482b, 0x7e8824f2, 0x4bc73e86, 0x98bdd672, 0x78e79247, 0x89e94e90,
+    0x7286c3c9, 0x6fe9f5be, 0x5832b589, 0xa76ef933, 0x2cf6cf62, 0x06437622, 0x18775600, 0xc91f8a4f,
+    0x7afb074f, 0xc9f18e2e, 0x1485f347, 0xd39f1d5c, 0xd63cfdce, 0xf3daae24, 0x3dbcc00f, 0x0ebc3048,
+    0xfd908f0b, 0xa32afead, 0x75cee1cd, 0xaa8fc19f, 0xdb0a2274, 0x96b1548c, 0x25cbc926, 0x68b72c30,
+    0x4b7683c4, 0x82a1f821, 0x6f162357, 0x9bf88b99, 0x177ec0b7, 0x02a7b208, 0x1adc0307, 0x125a29ea,
+    0x24153bc9, 0x9958e226, 0xca07e05e, 0x0cc06cb2, 0xa7cd7d08, 0xc3612343, 0x017aada4, 0x582514ec,
+    0xa25d6a34, 0x7e1bfd2b, 0x534ee8e7, 0x38b12fe8, 0x69eb3c1b, 0x75170c7f, 0x1e593b10, 0xe63cd45f,
+    0x6eaa208e, 0xc4f868d0, 0x632e5c58, 0x78d7dc84, 0xcbe36b9b, 0x7c3f550a, 0x81059f68, 0xac5176b3,
+    0xac3aa6a6, 0x38502fde, 0x837e1a42, 0x6ff4bdf7, 0x23df5d91, 0x7ee73c80, 0xcc03e3ea, 0x1a5716fc,
+    0x1b0e9af1, 0x7189ee2a, 0x93f3eabc, 0x0ab0de43, 0xa8b6cfcd, 0x3a90e40f, 0xd7e6f177, 0x64fcee7a,
+    0x926c01c4, 0xaf9e4b87, 0x3c2e3cd9, 0x26270e52, 0xc2813f41, 0xe4c46fee, 0xd2381f10, 0x42229c9e,
+    0xd884ed0a, 0x0042c05b, 0x362c0804, 0xfa8b8dae, 0xd04c11c3, 0x45a51b27, 0xa81969a4, 0xbbc9870f,
+    0x42887ec0, 0xc978b0b3, 0xeae969d5, 0xebcff1f6, 0xc95bc695, 0x157ea008, 0xd56704b3, 0x404caec8,
+    0x53758eb0, 0x42c5dc87, 0x7d64bcfe, 0xd3f96439, 0xe18ba9ce, 0xf70617ba, 0xd78ff972, 0xe2113b41,
+    0xeb321290, 0x2d733797, 0x4d21a31b, 0x3711033a, 0xf8bf9531, 0xcda3b53a, 0x0c582fc2, 0x5d73c6f9,
+    0x0c8fdf85, 0x3994dddf, 0x27f1945c, 0x754757fe, 0xe9a53258, 0xa135db2a, 0xabc2ed91, 0x8452ac08,
+    0x63823096, 0xd5925ad5, 0xbf44da72, 0xbc37f982, 0x063079e9, 0x55ac6478, 0x7e06bbc0, 0x5cf1575a,
+    0x652d4c07, 0x76bb92a9, 0x8095bfaa, 0xf8220998, 0xeb613288, 0xc5c93cc5, 0xb3792e79, 0xdaf8bba6,
+    0x5fa64198, 0x6d538d41, 0xecd815a6, 0x56157817, 0xdd57a91e, 0x7bd41478, 0x5c403e08, 0xd9a82085,
+    0x7062c463, 0x75e5cb0f, 0x7ebbdeeb, 0x89bdb82f, 0x4c3200b8, 0x38ffba51, 0x640e804f, 0x894443bc,
+    0x93bd0166, 0x2995697a, 0x878eee02, 0x2188556d, 0x1684444e, 0x89d7d56f, 0x0a3d4a5a, 0xc3c599ea,
+    0xcb5b3396, 0x6022119e, 0x4412575a, 0xb19331cf, 0x1ea75071, 0xa5af5b1a, 0x25f25ed3, 0xaf7202ae,
+    0x6c865bf0, 0xd5d2dd18, 0xbcc6a52b, 0x5b9cc2ac, 0x052e2c19, 0xcc83ee80, 0x05915641, 0x0ce9aff2,
+    0x2d150714, 0x0ebf584a, 0x2d12f8b5, 0x40f43b27, 0x2807874e, 0xa485535c, 0xd85ceaa1, 0xf4c62053,
+    0x81758d5b, 0x3fe084da, 0xc5e6b9ab, 0xc8672a4d, 0xb68b879b, 0xadb974c8, 0x3fcd4455, 0x901b4e42,
+    0x099abe60, 0x062f5e92, 0xee1c519f, 0x6dc75de5, 0xe806f3b2, 0x565e841b, 0xb08ff5d8, 0xee21ecf2,
+    0x9228df52, 0x4e5de4a2, 0x6ac48f24, 0x26552882, 0x909379f0, 0x9dca6fcd, 0xd1b90ddc, 0xcf205ec5,
+    0x6b142e16, 0x8a291ddd, 0xaa0427fe, 0x0866c155, 0x4909108b, 0xc7c51bdf, 0xf6418480, 0x49c8c17f,
+    0x54644d24, 0xa46bfa84, 0xd33bbfba, 0x2a614e34, 0x5c86288f, 0x87f125c7, 0x121c3206, 0xf0323934,
+    0x1f8868e7, 0xbfaa656f, 0x5d1bfc10, 0xe565e4d8, 0xbead6050, 0x9a3dd32e, 0xb411063b, 0xf97e388c,
+    0x86aa7a78, 0x657d1969, 0xffb7e162, 0x80831626, 0xf08b3ef3, 0x9e6c251c, 0x2fa4d341, 0x79d1686b,
+    0x5d0cd9b0, 0xec342614, 0x0fa449a8, 0x664cea58, 0x63f7b5b3, 0x9099c42f, 0x2fc06f6d, 0x359fd674,
+    0x4a437e37, 0x1f996438, 0xad008b16, 0xc8f011db, 0x1933695f, 0x6f35ca29, 0x0f2897fc, 0x62379e59,
+    0x5584ff3c, 0x8d7dd9cb, 0x7f278dd4, 0xbb4ef82e, 0xe91e5995, 0x587c37de, 0xb65b41f5, 0x5f303ce8,
+    0x0d87a398, 0xc24a09be, 0x997cdd45, 0xb8de3977, 0x73105962, 0xff536941, 0x44d0cdd4, 0x249940e3,
+    0x790cca30, 0x5ac6b330, 0xdbeda189, 0xa9ffd83f, 0x5f4fd7f5, 0xccf461f4, 0x84745f39, 0xee3e6bae,
+    0x9dcca3c0, 0xd0cc2283, 0x0b1f0d7d, 0x8369aa7d, 0xa90ebbbe, 0xeac7e41f, 0x74a7c23c, 0x87fa04f9,
+    0x3003f16b, 0xea33d234, 0xe1a8d8e4, 0x8e6f7549, 0x6db954c2, 0x7bb8d254, 0xe9a7488f, 0xc24d87ce,
+    0xae0a87ac, 0xdd605aeb, 0x60ba4e43, 0x809c950b, 0x8ce7116c, 0xf827e878, 0xe7db790e, 0x73ed5e7d,
+    0x4ce9905d, 0x69a213a7, 0x094e12ad, 0xb890f03a, 0x044fab9d, 0xebc78e6f, 0x43d3719b, 0x814e60aa,
+    0x61cc8dba, 0x5bd3a2e9, 0x25cb1574, 0x4c9c519a, 0xcc87b76e, 0x8c7a2fe0, 0xe6487cae, 0xb580c1ef,
+    0xaf0e5a19, 0xdcda61c6, 0xa08925e5, 0x1f5b68bd, 0x145a1ed1, 0x590287d0, 0x7a39a61e, 0x6af376bb,
+    0x3db830dd, 0x932894b5, 0x70b30576, 0x16ea2d6a, 0x16a94c7a, 0x4ef57187, 0x2409b8b3, 0xe51b1b5c,
+    0x3bb5a867, 0x30a24f82, 0x7b66f603, 0xb0e0b4a1, 0x81b15735, 0xeb632441, 0x2d5eadbf, 0x21a2f1e5,
+    0xa11b38d0, 0x10232b47, 0x089ce5d5, 0x3772d481, 0x8a16ba72, 0xe56436e4, 0x10f2dda4, 0x43fcfbac,
+    0x1a1c4338, 0x67676593, 0x773f4ff9, 0xdf8a3011, 0xb285edcc, 0xdb98d7b9, 0x17a76e29, 0x7ce4db28,
+    0x764285b6, 0x79eedf51, 0xf12f49eb, 0x6a201b0a, 0x4c055a20, 0x4203e2bd, 0x22cc051a, 0xa50fec4e,
+    0xbd1b4bf6, 0x78215ecd, 0xc76e6d18, 0x13f9f089, 0xaed40500, 0x9c7dffd5, 0xb27d8d01, 0x6c8508ad,
+    0xb82415cf, 0x5e5de848, 0xfa668e97, 0xbf33510f, 0xbb416b1f, 0x35274e2f, 0xa67992f1, 0xf0910346,
+    0xa2014f3b, 0x0f0087d9, 0x671ba23a, 0x37de8a97, 0x9df0c9f0, 0x402d2d94, 0x0232f99b, 0x7e9d1d82,
+    0xb4da5736, 0xec2db68d, 0x9523f36d, 0x64574c17, 0x40c9234a, 0xe04917e6, 0xc5e5b596, 0x361f5705,
+    0x7676d42f, 0x0eff0f1a, 0x475d56e7, 0x8113b42c, 0x17f25829, 0x45b02f1c, 0x3f216997, 0xad7854fb,
+    0x1b1c0d24, 0xb941ab4c, 0x5c2d7754, 0xa54fbbd5, 0x6b08070e, 0xd13fe7bf, 0x47e2437d, 0x7ace677c,
+    0x18d5facb, 0x8d629a9a, 0x2237e26e, 0xcc8f24b4, 0x0e7f0dc6, 0x33fff09f, 0x5cd3092e, 0x4ab74332,
+    0x13ec0d7a, 0xeb1c935a, 0xd6bc88f1, 0xe57958c6, 0x883e0fb0, 0x6625bbeb, 0x88548bfb, 0x8ae4ed21,
+    0x4783e105, 0x3aa09e30, 0x79d76877, 0x56d848d4, 0x1b7a0389, 0xa8d04846, 0xbbe27ba0, 0x85fd762a,
+    0x8f7c27f0, 0x64c7acf3, 0x2d270e0d, 0x8223e68a, 0xe601f7bf, 0x7e7acaa6, 0xc213b5ea, 0x9bce9bda,
+    0x1f5336c9, 0x135ec2ab, 0x7df7f9b8, 0x4c7e1bf5, 0x9742a023, 0x710a0238, 0xbc4025c9, 0xb44136bb,
+    0x2efa93f7, 0x55e38c12, 0x77f9b2bd, 0x4de5da87, 0xb0f15bc1, 0x1d666792, 0xe9145e69, 0x6adc7f79,
+    0x0e6dfa60, 0xac2d72ef, 0x24adc48a, 0x1bfd28e7, 0xd510968a, 0x048c00bb, 0x22c83135, 0xd81f9bc0,
+    0x5ca8af19, 0x6ab69335, 0x4b2c79cb, 0xdc012584, 0x4b629c92, 0x21312166, 0x683c930a, 0x22da57f0,
+    0xb18ad3bf, 0x4f1e7e01, 0xdeb622ab, 0x5a93727a, 0x29b8eedc, 0x5248ebc3, 0x445d9e9d, 0xe4c9df97,
+    0x7bbc684e, 0x288d73c9, 0xefaff256, 0x1381b1b3, 0x447564a9, 0xaf229751, 0xe4e7088d, 0xf0007030,
+    0x4297c9c1, 0x412c5dfb, 0x6224a679, 0x2de946fc, 0x6ab8c134, 0xbaf24682, 0x742ac89b, 0x24655c65,
+    0xc6f1bb27, 0xf9d7e457, 0x3f38a882, 0xf21baf48, 0xd2489368, 0x311a9e43, 0xe0ec70df, 0x888abd74,
+    0x7f04a36d, 0x354ebe87, 0xc0805bbb, 0xa87fe650, 0x2d3cfc02, 0x2e5583db, 0xdc74fa11, 0x493f29dd,
+    0x93affb4f, 0xf346ea74, 0xfe1630c3, 0x106cd3e5, 0xcbfca799, 0x716ff555, 0x34c3113c, 0x936ec937,
+    0x5c7aa94a, 0xc985c3ce, 0x990ca00d, 0x3db9ae83, 0x4e234925, 0x401ea5e5, 0xb1176f37, 0x51c559e2,
+    0x17d30a90, 0xd1d71994, 0xa5bce78f, 0x52d9532e, 0xc5ef7640, 0x3e3f4a7d, 0x10e01f2b, 0x3b93015b,
+    0xf5ec6354, 0x30b44075, 0x5cce3cdd, 0xe245b72d, 0x75ed42da, 0xc7c6f2fa, 0x058a6a2d, 0xe6c77e2c,
+    0x43499970, 0xeb402228, 0xe2bdaadf, 0x60fe2d15, 0x00d1e368, 0x626fd259, 0x39a170c4, 0xf8a5e8f4,
+    0xc6520d85, 0x7f4a5ec2, 0xf5532428, 0xab013178, 0xa47e8d71, 0x1ebe05c0, 0xd7408f73, 0xdecc9813,
+    0xed837da8, 0x0ce31d2d, 0x0efcb114, 0xd49e5f6b, 0xb7cd2cc5, 0xf2dca69a, 0x9b8a9de8, 0x80a48b00,
+    0x8474c9d2, 0x30744b7d, 0x35bc7a34, 0x74ce723c, 0xbf79a52d, 0x71cdb7bf, 0xae7cf4e3, 0x3412528b,
+    0xc30985e6, 0x8e516c39, 0xa23d86c8, 0x36025a08, 0xcbc443d2, 0xb7c6d9ef, 0x8a0752f7, 0x415c008c,
+    0x2df3084e, 0x0eba85af, 0xcfb89b7b, 0xf8124d5f, 0xd3e90087, 0xfccfd52a, 0xba23c489, 0xd682a1fb,
+    0xe20c0dd2, 0xa890cdda, 0x92ca8352, 0x20a093fb, 0xc5efeb78, 0xe049edb5, 0x389578a0, 0x7ae69e35,
+    0x127e3803, 0xdcfaabc4, 0xee42cae6, 0x4f4e6e35, 0x1ecf8313, 0xbed16af8, 0x8a0ec0a3, 0x3fc528f8,
+    0x99f8da75, 0x495776d2, 0xc1467aec, 0x6e2a46b4, 0xf0224a0b, 0x762dcd65, 0x03230872, 0xe21d1327,
+    0x581f87b6, 0xd0185d73, 0x4908a748, 0xbdc5fb41, 0x9b58cf9f, 0x49d2ecda, 0xed952893, 0x95dc8e61,
+    0x1994a20b, 0x38dbd143, 0xbdf5d298, 0xcf153e32, 0xe9846712, 0x1b728d9a, 0x363bdbf4, 0x68aa0065,
+    0xb6217653, 0xcf929ffc, 0x3efb2ce5, 0xd1c1bfe7, 0xbf8e4233, 0x7737a8a5, 0x24e00cfc, 0xa4a0a4da,
+    0x0109a971, 0x9475850e, 0xb3efc57c, 0x147a7781, 0x7d18f136, 0xa640c7dc, 0x6ec95d25, 0x98c5adee,
+    0xda3ec3dd, 0x7615c929, 0x645dba1f, 0xca0660d6, 0x5f910000, 0xe7a88e18, 0xb636a1d0, 0x78e3b7a0,
+    0x226379a0, 0xf211cec7, 0x02728d7c, 0xa45f03c9, 0x71e48808, 0x9b688d9e, 0xbc6790a4, 0xb68b49d4,
+    0x17d240d6, 0x3264a6a2, 0xee96efc8, 0x9369517b, 0x82eb3785, 0x539dd758, 0xbe9b31a8, 0x9f1847f4,
+    0x10b504e4, 0x4979c8b9, 0x53638a62, 0xfa3b6dc9, 0x4463d050, 0x3a229a14, 0x16e7c9b1, 0x5588193a,
+    0x69533774, 0x55b05593, 0x14604327, 0xb68a944e, 0x150ea53c, 0xf0ddb1f5, 0x27cf1a4e, 0xcbbb2c49,
+    0x680e3c69, 0x1030c57a, 0x2093a34f, 0xc6377642, 0xea2a295d, 0x52f3d4e5, 0x0e35b7ea, 0xe1f5dd82,
+    0x73223407, 0xfac6a75f, 0x50e9fab9, 0x65684123, 0x688cd283, 0x26aaecfa, 0xb032e70f, 0xeb9be9ad,
+    0x975ebf0c, 0xdbb01587, 0xeca6a81f, 0x21f20d62, 0xabcade27, 0x6412dfc0, 0x21cc1904, 0x4224d113,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000401734511064747568885490523085290650630550748445698208825344 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1b, 0xd9d6a747,
+    0x00000000,
+    0xe7cec713, 0x88906b19, 0x75219d78, 0x244482cb, 0x0f2479e2, 0x2ddea58b, 0x90a7ea17, 0xfcbaaff3,
+    0xf519a915, 0x42cf53cd, 0xa7af7035, 0x3771fab8, 0xc6385ebf, 0x3cf86801, 0xd0b832e1, 0x9d286c3c,
+    0x177a929c, 0x54ebc459, 0x8b55c9c2, 0x0e4c9223, 0x38410ae0, 0x9c5acec7, 0xd27a931a, 0xc3a4b6f3,
+    0x1d2addd2, 0x1cdcec62, 0xd2a31842, 0x48e545e1, 0x4194e70e, 0xd03c0ef5, 0xa99d4548, 0xcac45a38,
+    0xbc54877c, 0xcad131c4, 0xb96cd95e, 0x81b69238, 0x065b4af7, 0xb122e5b7, 0xc8eabaa3, 0x6cfe5978,
+    0x6e5af2dd, 0x643e7438, 0x81401cd9, 0xceb98b9b, 0xf2857283, 0x62637173, 0x270a17ae, 0x8d35f7ea,
+    0xfab77dd9, 0xea5a6b61, 0x3c1267a6, 0x18344c68, 0x807dfff4, 0x9f84d4d8, 0x5a35beda, 0x97fc50b5,
+    0x37af0b7e, 0xb7d80ad7, 0x0a5f57f8, 0xa3571d83, 0x00249e0d, 0xb985d3bb, 0xff4d55ef, 0x88a452e3,
+    0xbf161ba5, 0x1c76004d, 0x3488d0cd, 0xb882633a, 0x111ea5e0, 0x756b3a6d, 0xf1491aaf, 0x82db1cf0,
+    0x0f2f3f33, 0x3c4f9e28, 0x29f32642, 0xcadc879f, 0x4c7ad76b, 0x59125c76, 0xf260041b, 0x7975c091,
+    0xa0015950, 0x627bab35, 0xe97b8f13, 0x547d514d, 0x6492a7fc, 0x64e8dd63, 0x036ed958, 0xce72da41,
+    0x34a93423, 0xe0c01461, 0x08faede2, 0xefe11714, 0xcce44e7d, 0xc2829b9c, 0x8129f6fd, 0xf4b31064,
+    0x0b9f29c7, 0x19452339, 0xf73311b9, 0xa192e031, 0x31f88742, 0x7aaf729c, 0x27084bc2, 0x9c7fa724,
+    0xd72e2ade, 0x7699d667, 0x7863643e, 0x5600ebec, 0x7b2522f1, 0x6faba72d, 0x46176977, 0x0d5456d2,
+    0xa1338514, 0xdc2bab7d, 0x45914b52, 0x5f01360c, 0xad019e7f, 0x2493b05a, 0xf692dee0, 0xbdf5c106,
+    0xb4f90481, 0x464b38cb, 0x08cf99e0, 0x1079bb0e, 0xbe282e9e, 0x0fd54b5a, 0x1bb452ca, 0xa9277137,
+    0xa32691d1, 0xdd6573a4, 0x8fc714ff, 0x0b397c3e, 0xa1e0a5d3, 0x3d92ddff, 0xcbfd0dbd, 0x4a6b2065,
+    0xc256881a, 0x028526c2, 0x98314dd8, 0x2ab13242, 0x39ad4edf, 0x1111679c, 0x03b01d3b, 0xf9f33d51,
+    0xd311a132, 0x69e87655, 0xee6e0e2c, 0x55a26652, 0xb2cc0671, 0x1383a0ba, 0x1e66432c, 0x2f4dac7f,
+    0x130c10f4, 0x24464517, 0xf46ffdb1, 0xb7ad1590, 0x92b0e228, 0xe6c2a910, 0xf79d5c4c, 0x63ae469c,
+    0x82312a53, 0xa9a9ffee, 0x0a8a86d9, 0x2a39cca4, 0xade9999c, 0x8909bc3e, 0xdad9e957, 0xacfb80e6,
+    0xf753f494, 0x2202ef92, 0x8b8900de, 0x1583b584, 0x38a3dfd1, 0x3332445c, 0xf6a7477b, 0xa6d8a3dc,
+    0xdd493703, 0xd8c228b9, 0xcfcd29f8, 0x14c7bc5e, 0x9f7d4962, 0x25c3fee9, 0x9eef5083, 0x45e382a4,
+    0xe49d21aa, 0x1a36ea72, 0x25a1452b, 0xcc5b02fe, 0x6116083d, 0xc6976b18, 0x05212d88, 0x55b59adb,
+    0x2eef3666, 0x876c062e, 0x58443323, 0xbe45251f, 0x16d76793, 0xcae46a99, 0x103e1ed5, 0x03aa11b4,
+    0x006f6d3b, 0x89de47c8, 0x39417e8e, 0x32b944b7, 0x17dca916, 0x9d027e9f, 0x88b758be, 0x0b960793,
+    0xdd575b2e, 0xaa9ab4ec, 0x3b6c95cf, 0xa389b265, 0xb721ef9e, 0xfd1f3c8a, 0xc2c011db, 0x1704c2a1,
+    0x4894d76d, 0x8296cee6, 0xb36937d1, 0x5fb5878f, 0xf8909c3c, 0xf5b947f3, 0x0413720c, 0x50315167,
+    0xa1f62463, 0xe7977322, 0x1c4817f9, 0xb6211de0, 0xd4fec403, 0x150518d2, 0x39ea32c6, 0x693e8e55,
+    0x8053f678, 0x5fd7a24a, 0xe5685e37, 0xd3601a58, 0x24c62300, 0x1b52fa6f, 0xcc19839f, 0x37e3fa3e,
+    0x64c07fed, 0x6e45f9c8, 0xd3a2c502, 0x9fa068f6, 0x59ae306f, 0x1d1bcd93, 0x035338ee, 0x0d3913b4,
+    0xc28c9787, 0x4c823bd1, 0xfb293ef6, 0xadb4c358, 0x5b44a116, 0x44b281e1, 0x0ac76494, 0x746e2452,
+    0xcb20e078, 0x653a8701, 0x456b8242, 0x650dce98, 0x21469051, 0x19abefad, 0x7a8294c8, 0xe216da21,
+    0x44e23b76, 0x5a9901b8, 0x3e0b6d7a, 0xe9348cc5, 0x732f6d88, 0x1a6b3445, 0x4f38a444, 0x361e3710,
+    0xff0514f9, 0x3e4a020b, 0x7668b438, 0x705e3827, 0x12597127, 0x62fa3124, 0xee58181c, 0xee3494c4,
+    0xbaf7ae4d, 0xd3e55f72, 0x8ef1fa24, 0x32d1704d, 0xb692a4c9, 0x820a8fbd, 0x7664b9e2, 0x56285c85,
+    0x3e4798f1, 0x2bc669cb, 0xd7fe775a, 0x9e1ad4c4, 0x74376687, 0x8e3eb532, 0x308d8f3e, 0x3a918090,
+    0x887521bc, 0xe9a4e91e, 0x1fc30c6d, 0xc88cfc19, 0x309252fa, 0xf01c66eb, 0x97faad0f, 0x2d930ced,
+    0x97593b97, 0xc33b9ca3, 0xf109edd2, 0xc6424a67, 0x59910ebc, 0xf7fdd6c8, 0xd2b3d06e, 0xa671dcde,
+    0xb3e533d4, 0x4641e282, 0x19978b19, 0xda71db7c, 0x146f1acf, 0x659e3e1d, 0x6f8585b2, 0x5d7ac6a6,
+    0x30cbf908, 0xc5a75469, 0x630401f1, 0xa0e94b5b, 0x967058ea, 0xde3bf7d0, 0xfd9a6fa4, 0xec7fc00a,
+    0x8c6cce3c, 0x27b235f8, 0x582aed98, 0x6a3bae1d, 0xc9bc2284, 0x9e8d0103, 0x0be9cbbd, 0xc9d39c4f,
+    0x93977779, 0x46228a0d, 0x4f7e1857, 0xa24bf832, 0xfad76687, 0xd0b713f1, 0x89613911, 0xb944b0c6,
+    0x058d1e3e, 0x76fddfe4, 0x9d4ac26e, 0xe42c03dd, 0xdfa6cf3b, 0x00039185, 0x942b3ed9, 0xf4c89d21,
+    0xa4853e22, 0xda57d737, 0x0a7498ca, 0x6998e40d, 0xcd2264aa, 0x897f06a5, 0x68049049, 0x6cf9baf0,
+    0xa8803b7a, 0x0f89f68d, 0x62ef0786, 0xcf0ad655, 0xdce79926, 0xcc31a376, 0xc5293cc6, 0x5b2d47e6,
+    0x312f8b9b, 0xa9eb3e1f, 0xc2838878, 0xe68bc27f, 0x677a7efe, 0x2f1253df, 0x152abef8, 0x6ff58be9,
+    0x8f4ceb57, 0x6152128f, 0x7e53ed9b, 0xe5b5f9eb, 0xc0e501f3, 0x5ed8c15a, 0x068a3ab1, 0x320d9bfa,
+    0x14541e2b, 0x17969f3e, 0xfd9dab66, 0x6cda5638, 0xbadc66f6, 0xab7bc0b6, 0x6d788f69, 0xdbe1ed21,
+    0x1e8a26cf, 0xae5e9e00, 0xeca13c97, 0xabfb0903, 0xc31ee8a2, 0x279a7daa, 0x01c4e0ea, 0x869ea7cf,
+    0xcd06a5fb, 0xec8020d1, 0xb5c03977, 0x1839210a, 0x018add46, 0x4c4b1f49, 0x4c24d6da, 0x0609ddf9,
+    0x914a638e, 0x1b28f584, 0x9a9218e1, 0x7b3f05f8, 0x32d946d7, 0x37b468bd, 0xc4444502, 0xe024589a,
+    0x4accb119, 0x6cc68980, 0x97396ed7, 0x3ada1e25, 0x9eb0ba8a, 0x03548d6c, 0x04aebfff, 0x6f2eacba,
+    0x0ef13366, 0x8d73869b, 0x6267e3fd, 0x3780a851, 0x258a5f03, 0xfb94d61d, 0x2c7fe410, 0x6b448140,
+    0xd3d3f1b7, 0x856c07d4, 0xbe77cc75, 0x3ae849fc, 0x9bf19e9d, 0x6ce98465, 0x905397a6, 0x5e9d6f33,
+    0x9fa16f29, 0x24e73259, 0x2f3dc194, 0x8305a055, 0xade93382, 0x2db88181, 0x37c308c6, 0xaed0b786,
+    0x51bb6cd3, 0xb10fdb1b, 0xac80f367, 0x5808b207, 0x9843d3af, 0xc6fe0025, 0xaf5341e3, 0x71910bf2,
+    0x295f8b19, 0x9d9adbc6, 0xc4409a7b, 0xdcdb3f6c, 0xb796065c, 0x95729577, 0x2691a21d, 0x14c6af28,
+    0x7a8ca247, 0x1592c03f, 0x53b2bf0e, 0xdc63f8e4, 0xcf42eda1, 0xa762aa66, 0xb97f36aa, 0x070a8677,
+    0x85e385d3, 0xf5fad066, 0x8b0e5d38, 0xa8928826, 0x25abb236, 0xb49fab04, 0xe61a0ef5, 0x2c37a45c,
+    0xf900acaa, 0x96e2fe18, 0x98aaad2c, 0x2d73bbf4, 0x2f326ded, 0xe8bca945, 0x1cc5c74b, 0x2ed675ce,
+    0xf86e086c, 0x5a6a6da2, 0xd6437c7c, 0x3fc67db7, 0x9a2d95a6, 0x2786c695, 0x42eb36cc, 0x76cdb9c3,
+    0x6d2d5254, 0xc8b9f65b, 0x26b9e2d7, 0x1b6c24d0, 0x6635fdce, 0x62750ed2, 0x044d3015, 0x5cc34e1a,
+    0xdba15011, 0x1bc9d151, 0xd43f048a, 0xf43ba6b9, 0xdab8c6bf, 0xbab16199, 0xea53b3db, 0x237676ed,
+    0xa55f80dd, 0xe155087a, 0xa1c4d3bb, 0x339c0b23, 0xef375e26, 0xefb2f121, 0x86a68d5f, 0xb0f2e41c,
+    0xe0ad4797, 0x0d7c81f8, 0x2ec864d0, 0x2613c538, 0xc2cc9a59, 0x3873f3ca, 0x65e60a6f, 0x8ffc0fea,
+    0x466dcc04, 0xbd10bd23, 0xaf4497a0, 0x3837b705, 0xfe931e05, 0x83e4262d, 0xf556b71d, 0xdf20e6ad,
+    0x02d381f6, 0xe970244f, 0xddf368ca, 0x6bb89d97, 0x1043dc68, 0xee403671, 0x0cc78edf, 0x4b4fb053,
+    0x5ce0e2a9, 0x0552ec4f, 0x0c077bd4, 0x66594957, 0xbd34d5d0, 0x5257898b, 0x4397958b, 0xeef93e4a,
+    0xbd88846f, 0xe1e1fd02, 0xba5232d3, 0x6fd42aa6, 0x0e7b1a93, 0x1da02370, 0x40057d82, 0xf77cd86c,
+    0xd3570847, 0xbec9e0f2, 0x60a93c72, 0xe2b1d11b, 0x7f929a7e, 0xed5168c0, 0xaf02611e, 0x0aaa0fb4,
+    0x51cdb210, 0xec9a12c6, 0xc97ece52, 0xc4f7e9f4, 0xc98e1971, 0x1d652d19, 0x4b2b195d, 0xe7e31ec8,
+    0x36c96679, 0xef0f1331, 0x46e07c75, 0x32288608, 0x9f17dfe1, 0x1a787ec7, 0x43123883, 0x4dc5b9f5,
+    0x5c0dfede, 0xc558bd60, 0x691d09a7, 0x48718a85, 0x285fa4f6, 0x27237b9f, 0x8f157fdf, 0x22cda726,
+    0x2b1c823d, 0x738c8198, 0xe8078116, 0xa5611c96, 0xe225ab9e, 0xb586d4d7, 0xd962dddd, 0x13b887a9,
+    0x4e8b2e2d, 0xdfc18043, 0x2d35decf, 0xee57ad1d, 0x8d4ca85e, 0x00c2279f, 0x109ac959, 0x01115039,
+    0x373b336d, 0x5837cc92, 0xe3d704fa, 0x7713d34c, 0x1d72073e, 0xc84d5e2c, 0x90dc8fee, 0xe941e30c,
+    0xfe52e2b9, 0xbb5f039e, 0xb1da8600, 0x0e9a7e82, 0x57ec6a0b, 0xec13e973, 0xfdbf18a3, 0x7a88e72c,
+    0xb5ddb7d3, 0x1c6e0097, 0x81b6bf32, 0x05f5ec0a, 0xe4c13ab0, 0x5bfd0fee, 0x2c7c29eb, 0x31932a7e,
+    0xa11ebd6d, 0x93730400, 0x3f1c8a09, 0x18bac5f4, 0x55f2f50d, 0xd952f65f, 0x97c0ed5d, 0xa98eb513,
+    0xad262406, 0xffe09c17, 0x3c40584f, 0x7f39e6e3, 0xc52822a4, 0x157a8465, 0x5500801f, 0xaa6c809b,
+    0xa78b5f8f, 0x11800a27, 0x491e242d, 0x0da2db9c, 0x56696587, 0x457088c8, 0x02f7ebb0, 0xc701db41,
+    0x754e7743, 0x04d8099f, 0x05693118, 0xa2e99a09, 0x6850d41c, 0xa8731ec8, 0x88be1687, 0xa8e24226,
+    0x18df831a, 0x203dfcd6, 0x7c3419c8, 0xdaa5b918, 0x34fd8081, 0x0f450971, 0x3b99ce19, 0xdfbb5d7b,
+    0xf4b116bf, 0xa727ece1, 0xd1157f1d, 0xe66d686a, 0xf55b5b6f, 0x471690a7, 0x80582030, 0xa5cc6103,
+    0x638f8fcc, 0x15328753, 0x45d6d5c3, 0x22c9c338, 0x910f3f47, 0x9e74b5cc, 0x4a5a87e0, 0xef69c3fd,
+    0x82ebc368, 0x531f81db, 0x94222793, 0x50de6651, 0x90c5fc09, 0xb79ebbd6, 0x34fc7f1c, 0x412efc8d,
+    0x16a2b055, 0xdd071a90, 0xe6de90cb, 0x1f5f5583, 0x91ca3563, 0x66afd676, 0xd9902c46, 0xf1d06d26,
+    0x79b95232, 0x11b127fe, 0x3475791f, 0x752ef4b8, 0x88e3df62, 0xd2908517, 0x77975e8f, 0xd074f33e,
+    0x22d713b7, 0xfc3a1593, 0x2b156074, 0xa2588f14, 0x2af42ed6, 0xe5e8821f, 0x073b00c3, 0xd3db5532,
+    0x9026569a, 0x381b92a4, 0xbad939bb, 0xa0c832f0, 0xd11d5a61, 0xcd49a9af, 0x2824c007, 0x67bfd126,
+    0x747f825a, 0x1b660de5, 0x2fbe75df, 0x34e42abc, 0xa1d15b93, 0x8d744152, 0x33eaff87, 0x8dffe3e8,
+    0xf729483f, 0xf4c1e46d, 0xc30c9aa0, 0x24cc7777, 0xb1f67431, 0x6920f921, 0x098b3bc5, 0x876f6526,
+    0x99f253d3, 0xd4872380, 0x701f43e3, 0x34ac8788, 0xbb7f7b85, 0x3d97eadb, 0x3805453b, 0x0658dc9d,
+    0xfe3946ff, 0x2c9b308a, 0xa1c3c3fd, 0x11700793, 0x000289cf, 0x5fa22353, 0xe0d8e588, 0x173d4f43,
+    0x6f857dea, 0x7f1f98a8, 0xcdfcbf85, 0x8bba1b66, 0xa44b98ec, 0x93ae3267, 0x6e9c721d, 0xd4a9dcc6,
+    0xeca6a483, 0x23d4e3ba, 0xd28945e3, 0x995b77cd, 0x87eb60f0, 0x90cb6d7b, 0x29de33b6, 0x25b71e4b,
+    0xa5bf4d53, 0x4b54f992, 0x2c0c931f, 0xf0ed8cd0, 0x09b46436, 0x4e33bd3e, 0x81d94b7e, 0x05344b5e,
+    0x6bf442ab, 0x86334d99, 0x5fb7985e, 0xc065037b, 0x4ee23170, 0x21344d67, 0x1291afa5, 0x47069f2d,
+    0x5e2156de, 0x47121cc7, 0x2266616a, 0x45829439, 0x0f325fc4, 0x2eeb28d1, 0xbe1efa8e, 0xb6bfdb04,
+    0xa0f39505, 0xa9987be3, 0xcbe81a0e, 0x18a45f83, 0x63cae7e9, 0xdd4ca3c0, 0x97ddb07c, 0x66448883,
+    0x9b3796aa, 0x700accc8, 0x0989c944, 0x887effd8, 0x8a9d7893, 0x146a6984, 0x9e830bd2, 0x89542a40,
+    0x2037f916, 0xf70db731, 0xd7a9bfdc, 0x38a4d458, 0x3ec57e65, 0xd5ded33b, 0x8761f79b, 0x06d3b9e6,
+    0xa5e83cbc, 0x9efb15cc, 0x864cf9c2, 0x1870d374, 0x4194b7d1, 0x37309d04, 0x563ba67d, 0x8e3ca0c7,
+    0x3ba2b3b8, 0x9b975f9d, 0x1c59d5ef, 0x5532cad4, 0x355cc815, 0x98526aed, 0xe3c314cd, 0x9c73af42,
+    0x84597f95, 0xa93f4ee6, 0x0c7e84c8, 0x7e779820, 0x8f538b19, 0xd2a5fb76, 0x888fcc5c, 0x5e7b3dc8,
+    0x6232e91d, 0x65870eb9, 0xb1dd40c0, 0xef29c024, 0xa68e36d4, 0x043e1982, 0x5604fd3d, 0x58b3d07f,
+    0x44d2e7d1, 0xbd55494f, 0xb6fe3454, 0xa6120d1c, 0xfea084ff, 0x282c728b, 0x1d86f426, 0x8915959c,
+    0xaf63423e, 0x5853351d, 0x26a3ef03, 0x4681ee95, 0xe54006ae, 0x2587c509, 0x73832270, 0x0d1e4a88,
+    0x890f91b3, 0x279fa7c8, 0xd0b777e8, 0x5d947d59, 0x0a409284, 0x9d96e1e6, 0x3796c39e, 0x9596d2eb,
+    0x5b5a0579, 0xef78db97, 0x77e1935e, 0x17a8be81, 0xec7a5355, 0x3afcb7ca, 0x398c3db5, 0xb043e6d4,
+    0x6461a8ab, 0x640595ad, 0xf044f56a, 0x4c7bbb07, 0x7d0ff968, 0x4a11d9d1, 0x606defa8, 0x216732a4,
+    0xe43583f9, 0x71e4771a, 0x03181868, 0xcad72441, 0x35fbeb81, 0xd1255a37, 0xaadadbcd, 0xbd2ff683,
+    0xca0d24d9, 0x13ef3603, 0x4214bea3, 0x1aff5154, 0x54932dd1, 0xa2fd8b68, 0x0e5c0a8b, 0x05758423,
+    0xd0e40838, 0x9d8ec90a, 0x0f7fc6c8, 0x8d3a64cb, 0x88fe8446, 0xbf255545, 0x0881fa78, 0x7074919d,
+    0x4a27efd0, 0x05ce244a, 0x6d93432d, 0x74f18f60, 0x684b3125, 0xe19947ff, 0xaee33d64, 0x59520827,
+    0x5deef72b, 0xd9b47b77, 0xe268e079, 0xf57ec118, 0x3af39bea, 0x041f5372, 0x32463ac1, 0x67e4a022,
+    0xf0c8b9c8, 0x8d4a8d0b, 0x6aeef015, 0x4f911756, 0xfaa937ea, 0x2418213d, 0x61b052ab, 0x8b13e4dc,
+    0x22090011, 0x0ad7df06, 0xd0e917c3, 0x69683105, 0x308669e6, 0xff4abe09, 0x6ea5e036, 0x7306cbea,
+    0x89a8fc6e, 0xa6209e89, 0x885417ec, 0xc208e41d, 0x7b43f1c1, 0xfaeca475, 0x32b16535, 0xb401df13,
+    0x534776b7, 0x0060b46e, 0x7ca8c5a9, 0x873ea6a4, 0xd1abe4c2, 0xf923e2d5, 0xbb8a9c89, 0xd05129b5,
+    0x36ff2396, 0xb1d5121a, 0x1f9e4466, 0x1fdf8e49, 0x8a8631c8, 0x351c731e, 0xbb385f13, 0x4d09685a,
+    0x31a1de58, 0xf87ab256, 0xe2a674da, 0x7cf3bf53, 0x6247961a, 0xf40fb737, 0xb08d8931, 0x0344163f,
+    0xac836c61, 0x746076be, 0xd77586ce, 0x4145ad9a, 0x38e87a6c, 0x8ed06f14, 0x41aaf687, 0xab92fbfa,
+    0xbeac5591, 0x686e3c49, 0x4b049a69, 0x81945663, 0xded48273, 0x82311c9e, 0x81da4a03, 0x8b580a55,
+    0x98dfc6f1, 0xdb953939, 0xd3666522, 0xa1c9bf1f, 0xcaf046b6, 0xb4b5b380, 0x85998c16, 0xa47ce962,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000200867255532373784442745261542645325315275374222849104412672 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8d, 0xeceb53a3,
+    0x00000000,
+    0xac40fc4f, 0x5c39de19, 0x14b5d871, 0x65768412, 0xc3bb4d0e, 0xc44f874b, 0xe3de6360, 0x99bad2bf,
+    0x8a4ea535, 0x708af90d, 0xcac7e6d7, 0xe7d9f7e1, 0x457c79b6, 0xbafdb271, 0x0162d53d, 0x229b64c4,
+    0xe907b79f, 0xbb69be51, 0x111c3f98, 0xef0c3c04, 0x2d0f007d, 0xb7725ac3, 0x067a91a0, 0x43bac4b4,
+    0x2deb1e2c, 0x7589fe52, 0x023a9299, 0xe505d913, 0xfb4fa913, 0xa29315fa, 0x307ecea6, 0x8b80d0e2,
+    0x8fb321cb, 0xa19a2e23, 0xf151fb1f, 0x9be8d79f, 0x97e63f8e, 0x757c33e5, 0x08a5d9a9, 0xa6323cfc,
+    0xd1c6138f, 0x09fd2f97, 0x522f735d, 0xa4df6051, 0xf8109a08, 0x70d24960, 0x7069521c, 0x7867fb36,
+    0x6e1adfca, 0x360f8f10, 0xeed85e31, 0x11af87cd, 0x6e97369d, 0x6d76c1a2, 0xcbfb7960, 0x563d04b6,
+    0xfb8d8fae, 0x71a72acf, 0xff1f1a52, 0x937d2bc0, 0x3bd4c176, 0x8d8ee2ea, 0xa9a7ad9d, 0x1918c1a8,
+    0x470881ec, 0x03dbc370, 0x9c04c3e0, 0x333e97b5, 0x1c0fa4e0, 0x66294303, 0x75149d00, 0x5613f7cf,
+    0x553e95bd, 0x5f832b5c, 0x0fc91da7, 0x11e8d890, 0x25490832, 0xbcd69bf3, 0x190532d9, 0xeadd2c94,
+    0x28b3a24d, 0xe440eeb8, 0xf3e4cbc6, 0xd3bde9be, 0x1af67c77, 0x10e9095b, 0xd5d6adda, 0xf53e2c0b,
+    0x29ad7329, 0x059c1983, 0x16d6ab1e, 0x59679e28, 0xa11e5489, 0xaf11a276, 0x279b1d94, 0xf784a206,
+    0x2cfd6c6d, 0x2279f3e2, 0x3f2da449, 0xed606aa7, 0x99717647, 0xdfe6e270, 0x185f9c40, 0x2bed00ce,
+    0xac768eef, 0xd959c251, 0x4e0907f5, 0xaadbed30, 0x93b04e3f, 0xdaa74a9a, 0x50a5cc3c, 0x26eb3ebb,
+    0x84374a48, 0x2ae228ef, 0x9524f154, 0x1f04d89a, 0x5e2edd29, 0x1adf13e1, 0x35b40944, 0x8947f163,
+    0xfeec1b7e, 0xaee4b466, 0x3e1a0fc4, 0xe29171ee, 0x5178ff02, 0x81e8cf70, 0x81fb5e9e, 0x19c50af1,
+    0x59b725db, 0x392f2c77, 0xce467d1e, 0x3ad4db29, 0x37bf896e, 0x0d35b9e0, 0xb7f161cb, 0x5f3e530a,
+    0x30ec0c8c, 0x28d09b69, 0xaa29457a, 0x7d6995b2, 0xd71ce4a5, 0x155bd8d8, 0xac282f09, 0xfcff347c,
+    0xd3dc89ae, 0x87a9c3d3, 0x7b4ea62b, 0xbb156f7c, 0x9e3fd6d2, 0x5147bcef, 0x76bf62a3, 0x1634335a,
+    0xd0d349d1, 0xea66597a, 0x4c3d0666, 0x430c90a2, 0x3e8aedfe, 0xec6fb3e2, 0xaaefe3a5, 0x56fcd74b,
+    0x95fd92a4, 0xdfd8549c, 0x5bc9dafe, 0xc33d68a7, 0x3dc4dd02, 0x25e2a1a6, 0x099039bb, 0x8900410a,
+    0xaa60f349, 0x74e8eeaf, 0x5fc9e0bf, 0xd25ffc18, 0x974408e2, 0x5277b000, 0xd6a20da7, 0x1db84884,
+    0xd4ba2618, 0xc83e0d4b, 0x2a25aaa8, 0x7aa300f4, 0x10896884, 0x1c9e4ad8, 0x9dbced8a, 0x7de40147,
+    0x9f0ae061, 0xa1753b33, 0xeaed574f, 0xe96e4cd2, 0xb1a55bc6, 0x3cf60cb8, 0xeef8da51, 0x1d6c9cad,
+    0x7b4e7afb, 0x6fd3777f, 0xb39773f8, 0x1c77b8da, 0x56cf3a02, 0x52dcc0c2, 0xd40a6865, 0x4c5e08b2,
+    0x26508388, 0x2c8a286b, 0x7c9754f0, 0x644ff874, 0x2b46ba1c, 0xcc3da61d, 0x315a2e5b, 0xe058337b,
+    0x30ef5214, 0xaa9610c6, 0x3fa0e87b, 0x2ba0b59b, 0xa181c451, 0xb9f848d6, 0x71e901c6, 0xeb7d4b06,
+    0xe4bd0b30, 0x3cdec5a6, 0x225cfdff, 0xedb87d1e, 0x664b020c, 0x5ea058e8, 0xbe10d73f, 0xa6fb6135,
+    0xc6bb774b, 0x3db4e701, 0xc51d528d, 0x6608aeca, 0x82f4c903, 0x4b42ab93, 0x10fc1ff9, 0x77f37b17,
+    0xdd56bbd8, 0xb73d0b9b, 0xa9865145, 0xf1ecd30b, 0xe377d275, 0xbb57993b, 0x0e446591, 0xc92a8a7e,
+    0xb2f9cb9d, 0x7fc3821e, 0x411cd657, 0xd20d04f6, 0xde34c17e, 0xf2df064f, 0x71bb648c, 0x00f3b89c,
+    0x057f339a, 0xdb639b3b, 0xe0209838, 0xda434587, 0x4cde6342, 0x593e351e, 0x651349e8, 0xa2cbd96f,
+    0xba1a1ccf, 0xc1e3bc74, 0xfeb85fb9, 0x14fcf4eb, 0x47b6fa94, 0x4e677b5d, 0xa2546de4, 0x9b7f9a88,
+    0x6f088d9b, 0x444f101c, 0xc729ffde, 0xcd73daef, 0xaceeba4a, 0xc059608d, 0x1c0cb2f5, 0x98ddfbfe,
+    0x3cd7c778, 0xa64065a5, 0xe7cea0bd, 0x6f106c97, 0x9f20509b, 0x58e104f5, 0x3c14c58e, 0x6ac196e4,
+    0xa48ff346, 0x81b95db7, 0x1380a61d, 0xd90135fc, 0xa339e13b, 0xc9027648, 0x01dd96c2, 0xe8b89441,
+    0x97333a0f, 0x268a9a8b, 0x40823dc9, 0x71125f7c, 0x63ea52b8, 0xadd3ca5f, 0xb85cd5ee, 0x20053a71,
+    0x2748c0f1, 0xfa2eeff7, 0x8442af1b, 0xee8411f6, 0x291beb23, 0x07685ffd, 0xdcabbc8c, 0x805da9e4,
+    0x874f6dc6, 0xf5da89aa, 0x5620eae9, 0x8bb78229, 0x1e6a1563, 0xdd82961e, 0x0beb72be, 0x97246973,
+    0xc5f823fa, 0x422bd0ec, 0x18656b77, 0x37a2dc3d, 0x9a82f77f, 0xe17a5b38, 0xb11a3a40, 0x9daeb92a,
+    0xa47d3f79, 0x4ff6ad52, 0x7ad9b341, 0xc4967a38, 0x3a5b7abc, 0x6d4e2100, 0xd3e7cd6e, 0x9ceeab5c,
+    0x06e3f6da, 0xbce8c624, 0xe75ef918, 0x209b538f, 0xcacd1e3a, 0x298b01a6, 0xca94cc9d, 0x948bc087,
+    0xb3ee228f, 0xebfb4cb2, 0x37ea2fe4, 0x0d35826e, 0x41a06e99, 0xecb945fa, 0xa4998807, 0x59d93732,
+    0xe82a5605, 0xfcfc4040, 0x32a0a602, 0xe62a1599, 0x1ae010e2, 0x61172c18, 0x6e61505a, 0xd6dde7d2,
+    0x38a5389c, 0x6a130570, 0xfbf6d790, 0x6ab69aa9, 0x8aafe9c3, 0x2b30df01, 0x0e737a06, 0xc19f920a,
+    0x5af34ab6, 0xd7945877, 0xda5db497, 0xe8bfa152, 0x7b5a324f, 0xcb931c04, 0xd643c3f3, 0xa3c5953e,
+    0x9dd2a9f3, 0xe6467ec8, 0x3de4dc65, 0x83a89cde, 0x21226096, 0x2290d280, 0xebfc75b3, 0xf1cfc341,
+    0xb89b586f, 0xe5dee353, 0x7e5cc92a, 0x7dcc6316, 0xd5d1a7ec, 0xa5111fe4, 0x24a1ec26, 0x68f9c5f5,
+    0x4203779b, 0x724589bd, 0x97e7572f, 0xcf71ffa6, 0xf7dc02f3, 0x95ef69ef, 0x6e0c1e19, 0xb970e765,
+    0x61298a89, 0xd39bb705, 0x8248f386, 0x0406e70c, 0x0fd4175f, 0xf04b582b, 0x973b31be, 0xdef4cb14,
+    0xec741d9d, 0xdd87eef0, 0x7cb9bfc8, 0x671b7651, 0xeac58db6, 0x32028ee3, 0xd34c7b48, 0xe55a88fe,
+    0xe707c6b3, 0xe0061e11, 0xfb3948e0, 0x01fb003f, 0x68d2e4c5, 0xeb5c22cd, 0x79f368aa, 0xb2380db4,
+    0x76c03f2c, 0xf43e462c, 0x5ae95df7, 0xcfd3cbd3, 0x370933dc, 0x5535723d, 0xffbe95b3, 0x65aef58a,
+    0x47d14346, 0x73ea51bf, 0x8176bb59, 0x8505000e, 0x4d792bac, 0xf0d0ba33, 0x6e032d84, 0xb005205c,
+    0x57772d45, 0xefc551ae, 0xf9d09068, 0xaf382e4d, 0x1ba58230, 0x0e9253ad, 0x27be2c25, 0x8985c795,
+    0x996dffbd, 0xe3556430, 0x37e0bbc9, 0xff4ba54e, 0x88217cea, 0xdb88f226, 0x0bb1e804, 0x0b7b759f,
+    0xf39d5ea3, 0x4a49bcc5, 0x2348a1e0, 0xf0d945cf, 0x46d82426, 0x3f05385e, 0x9222ef73, 0x7b92030f,
+    0x88333f86, 0x37895bcd, 0xcbc23ceb, 0xc52db2d2, 0xd2d80859, 0xd80559bf, 0x9990d847, 0xb220df07,
+    0x2c557917, 0x31aeb292, 0x35173fe2, 0x1b7b6314, 0x48330a27, 0x5285cf19, 0x500aa4ef, 0x88c1bc78,
+    0x9f55a6cc, 0x03ef0bb2, 0xcfa3294d, 0x970505f7, 0xb24c86f4, 0x656c7f1d, 0xe3c832fe, 0x679efae2,
+    0x90904563, 0xd638a408, 0xb4690692, 0x65600f3d, 0xe92e0112, 0xdfb42650, 0x986e7b82, 0xd5bf0620,
+    0x9745f5e7, 0x2d761c4e, 0x1f6af3e5, 0x314526ca, 0x8b652d09, 0xfd762c96, 0xa5af4a9b, 0x08f7fd2a,
+    0x8e43c6cb, 0x3128eb48, 0x94f44182, 0x61dfafc2, 0x4cc76819, 0x52a5cf68, 0x2a5bb96f, 0xb8269515,
+    0x0e717306, 0xe2a449eb, 0xd63b378b, 0x25933300, 0x77deaf4f, 0x8206f3ae, 0xa2a13505, 0x8043cf7d,
+    0x0f0edf79, 0x481ab01e, 0xf62ce787, 0xce754a7b, 0x073379fc, 0x0c9fb497, 0xa9342849, 0x93f725d5,
+    0x3d30e902, 0x4fbf0c8f, 0x31c6bea5, 0x3baa52c5, 0x9e0f4ff9, 0x3cae12e9, 0x9a51017d, 0x0030f274,
+    0x9fe75e35, 0x046594cd, 0xff7f8c93, 0xc1ed3dd4, 0xa3ce0e27, 0xda0fb33b, 0x9a398a8e, 0x86451624,
+    0x98282835, 0x602cf603, 0x873adf93, 0x9b0871f9, 0x0fa92b54, 0x06771d1f, 0xfb8c0198, 0x3fb48d66,
+    0xee2113d4, 0xe171c36b, 0xd11d155b, 0xb4e7a1ff, 0xa8089b40, 0x07086b8e, 0x0779c539, 0x425024d4,
+    0xbff7e138, 0xdb486808, 0xa11e8ece, 0x4abb5e72, 0x76167d9b, 0xf3ab7ec9, 0xd574e709, 0x87e50078,
+    0x3c637ca9, 0x7aa968d1, 0x5197a24d, 0xa42c3b44, 0x708d2c1e, 0x6fe02b1e, 0x96c7f7af, 0x2ccca53a,
+    0xb23108e2, 0x8433fd55, 0x56fe811d, 0x092ecedd, 0xccf21699, 0x28801175, 0x3301d33f, 0xf6a5f7f1,
+    0x3e249adf, 0xc9d3eec0, 0x1b3db9fb, 0x655b1518, 0xc70508b8, 0xbdabc5a5, 0xae07ed6a, 0xf413c9f0,
+    0xb016f0e2, 0xf98f4b16, 0xecb1e4af, 0xe9a22a14, 0x167a09f9, 0x6f23f031, 0xa8605367, 0x9095ecf4,
+    0x76640d50, 0x012f7f1d, 0x601626de, 0x1f92ac0e, 0xd70a1f88, 0xc71d404e, 0x06d6ffd9, 0x6fbc97dd,
+    0x18e9ef82, 0xaccebe5a, 0x64a80ee6, 0x8593e9b7, 0x3a243086, 0x9411d32e, 0x6055f43e, 0x1b6f94ce,
+    0xe380ef33, 0x7155bfaf, 0x084abc9e, 0x021e68a6, 0xae87b585, 0x6727f10b, 0x3c5b927b, 0x7f90a106,
+    0x3a599b44, 0xea6ec8a4, 0x546330fa, 0xd393f10e, 0x2da2ccf9, 0x8522c5d2, 0x834bcf52, 0x3a1a304c,
+    0x46b7106f, 0x87e9e9cd, 0x8e76b398, 0xfafb3d77, 0xf541996c, 0x6f7715af, 0xb8fd41e1, 0x1049de8b,
+    0x5f3f228c, 0x4f826421, 0x3615f9d7, 0x104ad98a, 0x8a2f845c, 0x2d6adad1, 0xf4348579, 0x29cb4fb4,
+    0x8085eab5, 0xaaa24081, 0x809c89da, 0xe4530a14, 0x75c539c8, 0x0142516f, 0xff771f82, 0x2a1657d2,
+    0x8c8be8b0, 0x3d0391f7, 0xb02fe4d5, 0xfa1ff0d1, 0xd0320d13, 0x860c8277, 0xda16c110, 0x8d971bc3,
+    0xf0853647, 0x2bfe8ba0, 0xcd60df87, 0x51ac4281, 0xd28d3308, 0x59d9ab18, 0xfab54c14, 0xf73df10e,
+    0x8cf2edbc, 0x96f3900d, 0xdf6c4d5c, 0x958c0a0c, 0xae03968e, 0x68384102, 0x722d5043, 0xfb084eea,
+    0x141ef075, 0x28637bba, 0x21794370, 0xec84f351, 0xbcb9cda8, 0x5a4b49c3, 0x8f11a57f, 0x38af3005,
+    0xf5e7cad4, 0x3ee68134, 0x56cbcf86, 0xdd7f5f0b, 0x5d7ba2f8, 0x7359634b, 0xe0dd6bcd, 0x9df22fe6,
+    0xcad25c8d, 0x7f183e63, 0xce069e20, 0x23a3d523, 0xf2513d66, 0xd6bc72a6, 0xa8ec6a6f, 0x1a3f1150,
+    0x242b649c, 0x2f9972d2, 0x2122b6ac, 0x1ab18dff, 0x8517fd39, 0x7e3228a0, 0x411511c1, 0xdc7335d7,
+    0xd66decfd, 0xa8c3f1f1, 0x94f118bc, 0x62c7b615, 0x2455cd0c, 0xb6934f93, 0xe3e94d91, 0x0dde0be0,
+    0x5ad1df93, 0xae252fe6, 0x28c8802f, 0x69104e79, 0x7ec862d5, 0xf2d54cab, 0xc9dc202e, 0x317df551,
+    0x2e8d06f7, 0x77c38410, 0x1181bd16, 0xf9f19a37, 0x3d8ae0fa, 0x0bdeb54b, 0x899226ac, 0xe68cf67c,
+    0xcbbca648, 0x6b4d4227, 0xcd2e2085, 0x019d1124, 0x80203719, 0xdfa9014b, 0xd4b1e128, 0x9e6b7bf6,
+    0x3a17d09d, 0xb46b1cf1, 0x349e8c3e, 0xc0b53b7e, 0xd4bf2108, 0x86379323, 0x43c9798b, 0x90c26a36,
+    0x14e75325, 0x1711d196, 0xfdb09282, 0xdc22f0e1, 0x77daec2c, 0x0393d4ab, 0x4d34d0a0, 0x2d18d4d9,
+    0x65fd37bf, 0xedaf1f21, 0x781b352d, 0x42897edc, 0xe5941642, 0xe97197a6, 0xc34265e1, 0x2fee1870,
+    0xc21fa739, 0x49fbc9f1, 0xe8f1e1a2, 0xf80127c2, 0xc411d9ec, 0x3fb7de39, 0xd61f43ee, 0xc3efad2e,
+    0xc86725f4, 0x50cd8710, 0x969d92b8, 0xdb69bec6, 0x133d835e, 0x0424580a, 0x0227dedb, 0xc47218bb,
+    0x56e1247f, 0x8e4cdc42, 0x42c41104, 0x1da90fa4, 0x726d9832, 0x654f9a03, 0x0ed8542b, 0x267b2ae5,
+    0x143eeac2, 0x288946c0, 0xe12a86f4, 0x8949401b, 0x2ddafd55, 0xeb98045c, 0xdc088f37, 0xff45fc0f,
+    0x13bd17e3, 0x0610cbd6, 0x59a87493, 0xc84fb070, 0x91757e96, 0x1dcb278a, 0x5d05fce9, 0xa1bf431d,
+    0x5198e837, 0xe5758fd4, 0x094f1231, 0x008a13da, 0x6940e701, 0x4a493a69, 0xfc9e487a, 0x7b8efdc4,
+    0x26ac7129, 0xe99fd2d1, 0xd002317d, 0x23a6dfa9, 0x33876120, 0xc2009729, 0xc7fdc6a5, 0xc00a8f61,
+    0x4724baea, 0x9edd7bc6, 0xa377a82b, 0x7caab378, 0x4beacc6e, 0x2b1c1509, 0x0a831d7c, 0x75b911a4,
+    0x328c2b66, 0x7e63b31f, 0xc200d67d, 0xb5132a49, 0x250de75e, 0x9f5f0022, 0x1920e075, 0xad7570f3,
+    0x810fd970, 0x0730ef9b, 0x0d090902, 0xfc17c200, 0x2107bddc, 0x58e8e7b1, 0xb6d250d8, 0x753ebda2,
+    0xf02f3016, 0xae634ae0, 0x7044960d, 0xe9029bac, 0x38a98ed6, 0x441fc970, 0x3e755908, 0x1221f7c2,
+    0x6c259003, 0x71232867, 0x9e29ddf3, 0x23e3a1d4, 0xfd958206, 0xb6f0ed21, 0x5358c357, 0xd51e3656,
+    0xa5e85373, 0xfc4df633, 0xad1fcb0c, 0xa3d68e64, 0x5612dc60, 0x170267df, 0x7f38d7b2, 0x0e85dec7,
+    0x053634d2, 0x88a3da6a, 0x618467a1, 0xb9a19b59, 0x7bb3d2aa, 0x47fb0a29, 0x965d613e, 0xd0e51583,
+    0xc2544671, 0x94ca66d5, 0x2f79de91, 0xcc95b6bc, 0x892fc15b, 0x8f349ac3, 0xe31f05f4, 0x767fd7aa,
+    0x58b4f620, 0xe16cf540, 0x235aa1ae, 0xe7c2ccc3, 0x31c92346, 0x46657304, 0x9b8af1ec, 0xf230d2de,
+    0xdbe973b8, 0x40756ac0, 0xd94a00c7, 0x0f3bb513, 0x0c2e9c35, 0x135f8fea, 0xb9b73fe9, 0x49e50982,
+    0x4a8b0695, 0xed8b896f, 0x275a270f, 0xdc68735b, 0x295a21c7, 0x4b9edd81, 0x73ba2ce0, 0xb95bc4ba,
+    0xdb483b7b, 0x68f79f09, 0xc4028dce, 0xc191b6ca, 0x805af7ef, 0xa38770de, 0xd2eb3c6a, 0x7c3116c0,
+    0x8451465d, 0x8bfe5a64, 0x20510188, 0xf04e9dcf, 0x161e125c, 0x4967d3db, 0x77290ff6, 0x16a31718,
+    0xf85fa6ae, 0xc6a77116, 0x656e5f28, 0x233956e7, 0x48443081, 0x4a8e6ab4, 0x4e7f195b, 0xe93f83ac,
+    0xca31d8cc, 0xbfd36702, 0xb5de8677, 0xb807585d, 0xf62cf192, 0x3116e04b, 0x1c109f17, 0x9ae396c9,
+    0x252ac976, 0xacde9ee8, 0xc38930db, 0x090d93fb, 0x00dbcdf0, 0x44f0b5f1, 0xed1a0d83, 0xae6734f1,
+    0x13946e4b, 0x05dbcfeb, 0x17cc33e2, 0xb5a9e34c, 0x25deffba, 0xa41afe1e, 0xb25adfea, 0xbf24f0cb,
+    0x556ed395, 0x4636defa, 0x113c1114, 0xe3bf5558, 0xac3c80e0, 0xca1f4cad, 0x1022cf18, 0xd6ed2439,
+    0x5b384827, 0x62b0f231, 0xfcf86838, 0x70e76f6a, 0x1c5bb2c9, 0x65bcfb14, 0xe3c708f0, 0x3c5f2f3f,
+    0x6b75280d, 0xbb9257e9, 0x7f2e18b9, 0x33b4e1d9, 0x362ef99f, 0xd1011465, 0x0fc355e3, 0x38f8b4ef,
+    0x93cbdef4, 0x9988e5e4, 0xf741ae8a, 0x15230fcd, 0xf157fea8, 0x6de60dbb, 0x5e82dc55, 0xefd9ed2f,
+    0x6a09338c, 0x44778c97, 0x6ab4da19, 0x9c3859d0, 0x16aa27c6, 0xbd095b38, 0xc76a0e15, 0xab63c9b0,
+    0x6e83156d, 0xe94bca24, 0x5b5c7fc5, 0x82467d03, 0x72eb0b39, 0x6eea08df, 0xeccfc48e, 0xaf27d19c,
+    0x3d052b43, 0x47a7936b, 0xd4ed4dfe, 0x2d0f152b, 0xa3b9db48, 0x139c35e7, 0xba3d7820, 0x15e901ec,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000100433627766186892221372630771322662657637687111424552206336 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc6, 0xf675a9d1,
+    0x00000000,
+    0x947cc2e6, 0x4e601f18, 0x0d28c3ea, 0xcb763c62, 0x5c541419, 0x01609385, 0xbbbc1a0b, 0xa0d66995,
+    0x18c2ec5e, 0x49a16cc4, 0xc51cb0fa, 0xa82a9a34, 0xf51675f2, 0xa4927b40, 0xe704da3f, 0xc23e0ba5,
+    0xf7ec9919, 0xf178add5, 0xd94ee3b7, 0xbe6bb5a2, 0x372ab4aa, 0xf2528c4e, 0x3e9c8da9, 0x6e26a4eb,
+    0xed4f57bf, 0xc87df835, 0xd4e36679, 0x9b8f9cf4, 0x38dd5308, 0x65309140, 0x83be0c13, 0x06043307,
+    0x6b104262, 0xec03c19b, 0xc2617512, 0x02c0d6c4, 0x7a43d3ba, 0x1deff11d, 0xcd7123d8, 0x17b5bf1d,
+    0x37ce6461, 0xe79309b6, 0x7f1a2f72, 0xc3110978, 0xcf171026, 0xf881b369, 0x19c23152, 0x394c26a6,
+    0x91e00609, 0xfdc6152b, 0x3761de99, 0x08e9888f, 0x977cda44, 0x798ece8c, 0x449e2617, 0x7e5111e8,
+    0x2e29c7fe, 0xfafa72b3, 0x0371c2d0, 0x966c2951, 0x11f61f04, 0x3c40b9f0, 0xd57d8e64, 0x4def5bd5,
+    0xb375f33b, 0xb897aab6, 0x92bd4055, 0x79254fa0, 0x54462039, 0xb1e6f3ce, 0xf9bcfa92, 0x3f6f9dad,
+    0xfc174d6b, 0x6efe42b7, 0x8a495fed, 0x328a8a2c, 0xbd8360ca, 0x96290cbf, 0x93f68620, 0xa05175a3,
+    0x743f3f97, 0x91820099, 0xa0dce2be, 0xe1d6704d, 0x44db33e1, 0xd9281890, 0xc15523d0, 0x82c26e02,
+    0x489d2d3b, 0x31de1e88, 0x9c339edc, 0xbc90573f, 0xaaa7d2ab, 0x7368c665, 0x53fd8638, 0x52a7b40d,
+    0xff2a5406, 0x8b74615c, 0x645e6c27, 0xee37002f, 0x62d60b4e, 0x1aaf47b7, 0x69469d9b, 0xe2604a7d,
+    0xfeda022f, 0xd7b57966, 0x12b2e798, 0x1354fa0f, 0x7eaf6a6a, 0x8b27ede7, 0x711440f7, 0x36f98f4f,
+    0x447f4666, 0xa02faa1d, 0x39381da1, 0xe7f74a8e, 0x63f526ca, 0x7232ef76, 0x19d82f41, 0x2e331d64,
+    0x9e011829, 0x73326791, 0xdbb5e3dd, 0xe37fb36e, 0xeebb9bc1, 0xb74686c4, 0x1caf346d, 0x8a41dd59,
+    0xb88efc5d, 0x0c6729c6, 0xf7625849, 0x89bd653b, 0x231b27c5, 0x74eb213d, 0x3e297b90, 0x986481c6,
+    0x05a7fe05, 0x87a7c588, 0x290d6c17, 0x727b385d, 0x4c981854, 0x3e904924, 0x7ec87c3a, 0xb467784f,
+    0x45c980d9, 0x04a9c4b0, 0xf43ed0cb, 0x89da5368, 0x9177628b, 0x049d5371, 0x30eb58b4, 0x3b41098b,
+    0x40dfe990, 0x575fae28, 0xb0839e6a, 0x2ec41096, 0xcf5e0e75, 0x09bf5b5a, 0xc6b16c39, 0xe7e2b5b7,
+    0x474acb7d, 0x0adc3fe9, 0x766fcc2d, 0x0e8de26b, 0x287a1cfd, 0x483c304a, 0x8c0335da, 0x48d358c6,
+    0x44bf03f9, 0xf1e21966, 0x817a65fb, 0xff76edc9, 0xdef48e03, 0x6423a7c2, 0x3223a3a5, 0x7eb64747,
+    0x1e384c5d, 0xf3fc4124, 0xfe5e4a85, 0x8d58761f, 0xb86d0dd5, 0x08f20cb4, 0x2b5c5c10, 0x42f87404,
+    0x351950b3, 0x9f50f88c, 0xcd0b021a, 0xce4e64de, 0x7117bb5d, 0xaf915ff2, 0xad3d384b, 0x516b3b9e,
+    0xc963e2ae, 0x8b8fdd39, 0xce2af283, 0x142ca5dd, 0xf5c9ed2b, 0x5da53187, 0x117f6fba, 0x9e7240c5,
+    0x4ef69fb6, 0x2490eb78, 0x86174e38, 0x1daa6a9a, 0xe3e8f8ef, 0xb783a606, 0xbceaddb5, 0x708943c6,
+    0xdc089f15, 0x1ee94162, 0x90643660, 0x0567dc8f, 0x933dcd52, 0x2241dc2b, 0xa1f597ea, 0xee63fd9d,
+    0x74cb5ec5, 0x907a49be, 0x0efe4e69, 0x1e2bb753, 0x9ac32715, 0x48928def, 0x7b0916a2, 0x8a315515,
+    0x975c9d60, 0xa5ea46c4, 0xc1b30d1a, 0x7327ac08, 0x392ae70b, 0x303c1822, 0x22fa2886, 0x58ec8790,
+    0xbfb1e80b, 0xb25af766, 0x196b7526, 0xc8be7e9e, 0x8ee8afe8, 0x3af03504, 0xe606587f, 0xe979f5da,
+    0xed5fcc8a, 0x5974e91c, 0xf7636aaf, 0xc0c862d0, 0xb036d4b5, 0x33188b6a, 0xa762f524, 0xf3e444e1,
+    0x6cedad0d, 0x2efd4bc3, 0x90e6c2da, 0x4285160f, 0x308d94e6, 0x89b8a700, 0x19b7857b, 0xdab46d52,
+    0x4a7bb70b, 0x09b7d695, 0x21a71364, 0xced99ce7, 0x33dd695b, 0xf4777c54, 0xc7206223, 0xd154794a,
+    0x505aa02e, 0x7b69fb3e, 0x702e8ab7, 0xaf9972d9, 0x9c6dc625, 0x418513e8, 0x0c2cefcd, 0x00f162cf,
+    0x66f1bff4, 0xfdc51cd6, 0xffef1311, 0x424edd83, 0x5c567a35, 0x2164b30c, 0x1ce005a5, 0xbef108bb,
+    0x1a0be087, 0x2f1fe8dc, 0xedb46b07, 0x6f3582f0, 0x8deaa18c, 0x41c5fab2, 0xa0723898, 0x1ba47fb4,
+    0x9353d903, 0xa3024c41, 0x8ae0aa29, 0xd56f449e, 0xaf94e43a, 0x5ea6e1f4, 0xc59bf372, 0x911ebabb,
+    0x5f3adbc6, 0x8d05147b, 0x930eece5, 0xe6a52f64, 0x0efc1665, 0x02f03a3c, 0x0977e379, 0x6993f566,
+    0x2e5adf0a, 0x751eef2f, 0xc52329e6, 0xa0fe080d, 0xc39a1d22, 0x6be81fba, 0xced3afd1, 0xdfcd92d4,
+    0xf3f75dcd, 0x4f902a99, 0x1e1dd576, 0x51cc5b5f, 0xb664546d, 0xe83b4516, 0xca15eea7, 0x915dd43c,
+    0x197cc222, 0x97949889, 0xba6dc0f7, 0x412b1fcb, 0xc8270638, 0x70da20de, 0x383e4fc0, 0xc1711ecc,
+    0xe8d8d329, 0xb2acded0, 0xea93e5f2, 0xfc22a40e, 0x5606f653, 0x36738dd1, 0x39f0a026, 0x620d9b22,
+    0x2bef4c9c, 0xfd0ffbcb, 0x53a09338, 0x0130aab7, 0x19b626d4, 0x7f60c830, 0xce785cd4, 0x97c67eaa,
+    0xe0f1d4a4, 0x6306f89d, 0xe892f38a, 0x976e1395, 0x6f7876fc, 0x6d59f0be, 0x4c7facd7, 0xba11a836,
+    0x2d21c667, 0x53f2a5f1, 0xacfcc711, 0x9bab8324, 0xb779bcf7, 0x5e317b24, 0x176dc1f7, 0x0e81ea3a,
+    0x10510347, 0x944338c4, 0xa87851d8, 0x3d73b7ed, 0x21b06b52, 0xd7de1175, 0x07b1d5bd, 0xeae577f4,
+    0xda0fb7dd, 0x66b47e53, 0x6ebfcb99, 0x918c2478, 0x7292300b, 0x15082a6c, 0x452c4545, 0xe0cb268c,
+    0x16daeb86, 0xc22851fc, 0x011057c2, 0x10f1fa36, 0x9c736158, 0x90cc7d7d, 0xc683caec, 0x204f219b,
+    0xcfb91c3d, 0x510527d5, 0x592af16f, 0xdab9b41d, 0x8ea1188a, 0xf8555bfc, 0x4c51f8e7, 0xda144a05,
+    0x6a137fab, 0xbfe3f123, 0x79291c62, 0x79e27ed1, 0x76c3bcac, 0xe243d1fb, 0x4e2a7dbb, 0x3a88d85f,
+    0x064a0103, 0x3f68051d, 0x344738e9, 0xd42b4722, 0x33d4eb5e, 0x7140f8f7, 0x95c7c053, 0x43f2245b,
+    0x208dd948, 0xb008149b, 0x5c788cbb, 0x85f05618, 0x411d743c, 0x52701091, 0xafc0da42, 0x0864830a,
+    0xfb198188, 0xc21b8cd4, 0xa7ccc8d0, 0xb75776e8, 0x0a97d763, 0xac981ddc, 0x7ebf81b8, 0xf03524c3,
+    0x49f666b4, 0x02da0119, 0x4a763a1b, 0xc1f1bbd3, 0x0ecb118d, 0x2f282abb, 0x36896ffa, 0xa49213e4,
+    0x28bc8f60, 0xb3cd47e2, 0xde9379d4, 0xd711384d, 0x28fc738c, 0x30c881d5, 0x7b39e58b, 0x1e2a1c95,
+    0x8fba2239, 0x6b423ee9, 0xaeac03bd, 0x2f5e4ad8, 0xc0fa12fb, 0x4db10a1f, 0xe83a42ad, 0x675d87b9,
+    0xb18d9ebe, 0x8e09b50f, 0x20347250, 0xb443f4de, 0x476cf132, 0xa33718a5, 0x69efb719, 0x918658af,
+    0x172512ff, 0x6b87c309, 0xb3b548ca, 0xcae20a6c, 0xd7487435, 0xa4d2c52e, 0xd2d8c390, 0xe330a825,
+    0x3cb22733, 0xf3cbbdf7, 0xe68d500c, 0xfe8e70c6, 0x481bac8e, 0x6a169ddf, 0x2c859b49, 0x354fbeab,
+    0x5b78ce72, 0xbb6f9861, 0xacdb2e59, 0xe72d4d23, 0xd588052c, 0x4ae0fbc1, 0xee9eefa6, 0xa6aa0cf8,
+    0xb2e4c71c, 0x8e2964b8, 0xe123f022, 0x3d46dcd1, 0x4066aac5, 0xaac782bc, 0xcd9c1a6a, 0x697bc271,
+    0x2b4f9ce0, 0x7eac63fa, 0x05ac48a9, 0x5664ef9e, 0x6743d268, 0xc16026dc, 0x09665a36, 0x46c59af0,
+    0xb9fb87a0, 0x9683f19e, 0x63962736, 0x3f3821e8, 0xdf5c0edd, 0xbc3f742f, 0x02007a49, 0xb6fb6263,
+    0x7564f8c8, 0xb761569b, 0x05ae8445, 0xad966c71, 0x5e377519, 0x41945f1f, 0x92b7d487, 0x2c6acb4a,
+    0x9928195e, 0xd6a65158, 0xe834e2c7, 0x0daac5bc, 0x08fbb4cd, 0x832e907d, 0x9d82a945, 0xdc2448cd,
+    0x01414d73, 0x061b354a, 0xc22614c9, 0xeb8f7df0, 0x25b1d3d1, 0xc225c6df, 0xb172f6ad, 0x65484ce8,
+    0xfc6cb69f, 0xca7d9884, 0x06925244, 0xc42b27b1, 0xf398c7a4, 0x9292d183, 0x1df1af96, 0xaecd3f9d,
+    0xcdffe7d7, 0x74c40707, 0x5e4002f2, 0x767103e7, 0x3a9b9540, 0x3f6ce8b1, 0x14893656, 0x10c053b2,
+    0x2601afd4, 0x5b878614, 0xba809721, 0x1d5d8fd9, 0xa718ea6a, 0x84f06c85, 0xaabc6bd6, 0x612d41ce,
+    0x8cd7f32f, 0x5715df0d, 0xf64d23ee, 0xe6f58cb9, 0x2fb07cf8, 0x777cd9ef, 0xbf1ad25d, 0x1e2a064f,
+    0x18a3ce78, 0xa3f45ec5, 0xb3b22f7e, 0xc9d8d5be, 0x44ccc346, 0xbd12ad49, 0xd47a0ecc, 0x8b9f924f,
+    0x39e81d1a, 0xf6748914, 0x739dcb30, 0x325286db, 0x96d1ff41, 0x77ca366f, 0xdfd46308, 0x74329c72,
+    0xedffc5cc, 0x61a9c9a8, 0xdd7b8758, 0x48efcb4d, 0x868d94c3, 0x7f11aa53, 0x9a6c85d7, 0xbdd99fc7,
+    0x8efba23c, 0x033d5ca4, 0x72616127, 0x282ef27b, 0x1c6413ba, 0xdfd9318f, 0xc037175a, 0x3d0df264,
+    0x251875e6, 0x37df2e07, 0x0a1194c1, 0x94f08b85, 0xea834578, 0x97edc7f7, 0x19ca382f, 0x5be24891,
+    0x203c9fbc, 0x56450a24, 0x5e21409c, 0x2662eefc, 0x9a2fe10d, 0xe3818abd, 0x23bc3feb, 0x00c37267,
+    0xe5980c1f, 0x0e9e1512, 0x1fb1dd3f, 0xe6772b95, 0xb5b86902, 0xb6ce16f1, 0x382f4951, 0x97b87bba,
+    0xfd156c2e, 0x4a1b0352, 0x31d94cf5, 0x11206f82, 0xda13ec78, 0xcb1d1973, 0x13209fe4, 0x2710c35a,
+    0x46342591, 0x43b2f1d1, 0x6e1553f3, 0x75910585, 0xdc9869e0, 0xe18656e0, 0x0463ba2a, 0x068ee45d,
+    0x01700971, 0x62db27ed, 0xf2da8814, 0x7a1b8479, 0xca4c08da, 0xd218f10f, 0x84d42581, 0xf66f5ba5,
+    0xb1f9297a, 0x64bbefd3, 0x55e0c281, 0x32275bbf, 0x648cb7e0, 0xbf4a70c2, 0xf8838673, 0x4df85792,
+    0x3caa443a, 0x9f7ee46c, 0x71076c78, 0xacf8e05e, 0x0016b815, 0xef7c6c0f, 0x1019f5ea, 0x9a52cba5,
+    0x09223127, 0xad68bf05, 0xa47cbba5, 0xbcc5794c, 0x887e126c, 0x98cce5ea, 0x5f5eed63, 0xbf8b900e,
+    0xc3ea2037, 0x0e063613, 0x663748ca, 0x0e34eef5, 0x04ea4d85, 0x79b42d5a, 0x0e4e5cf2, 0x84359470,
+    0xb408bf8b, 0xe9f9a0d7, 0x8fa3e455, 0x01b05cf9, 0xbced2ebb, 0xc2b3a10c, 0x77e6dcc2, 0x73fef7b5,
+    0x15220f2c, 0x697887f5, 0x4fe3f559, 0x212870c1, 0x54d0b487, 0xb29ae6b2, 0x6c4c2658, 0xb4fbcef6,
+    0xa24265bd, 0xb7837169, 0xfb3321d7, 0x2a9bcb52, 0x57ea32ec, 0x4693b26e, 0x4dac341c, 0x2dfbf63a,
+    0xed016fa0, 0x1b41f15d, 0xbeb0a535, 0x68ef00d6, 0x2a33cbdc, 0x692a9ac2, 0xb5eaee16, 0xcd000f60,
+    0x659295bb, 0x34bc5f89, 0x2e51c6c1, 0x6bacd439, 0xbc6704ec, 0xfa5a7e2f, 0x974873b0, 0x9dd2d068,
+    0x9eda1870, 0xdbef6649, 0x0e298da5, 0x98cff615, 0x78884fca, 0x1a1652ce, 0xe1be4556, 0x7b8ed168,
+    0x151e2b98, 0x563090a2, 0xb9d74fa6, 0x8d483ae8, 0x645b46ce, 0xa4474a8d, 0x6e824632, 0xc43ed965,
+    0x1fba3730, 0x496825df, 0x8fe876b3, 0x8ed919c4, 0x2991228c, 0xd7dd524d, 0xb34da29c, 0x664af69f,
+    0xad57287b, 0x504b055e, 0x85b24dc7, 0x4665415f, 0x1c91a5f4, 0xad8d2e6e, 0x4b6a26bd, 0x344f5aa9,
+    0xe62c2df3, 0x2e1dcc6a, 0x2cee24a5, 0xb11c26f7, 0x237f61aa, 0xf1811533, 0x9005e10b, 0x666c6586,
+    0x321bcec0, 0x933fd175, 0x72ebb762, 0xa86eef21, 0x71e045e6, 0x822fcfd5, 0xe114ecaa, 0x200ff74c,
+    0x0812d951, 0xc97ec3ea, 0xcfb85bac, 0x810af3bb, 0xddfdfbff, 0xe80bab1d, 0xf393044b, 0xf4fe7d0d,
+    0x9603eeb8, 0x8a44a4af, 0x04d196ea, 0xa0c7cd78, 0xc244e1a7, 0xe0953b0f, 0xf62b2a7e, 0x6b3a1009,
+    0x3b60ecd0, 0xcfc075e1, 0xfc6a5669, 0xff425c45, 0xaa03b275, 0x4fe0bb8c, 0x13e93a1c, 0x64806508,
+    0x875eb0e0, 0x8ddceb9d, 0x642f8316, 0xfc55f6f7, 0x74c62065, 0x0eefa429, 0xb8cb8a80, 0x61007e18,
+    0xca4d14b9, 0xbfc51463, 0x7755865c, 0xf38ffd73, 0x34687d5a, 0xf0b87e1c, 0x676cade9, 0xe87e4ea0,
+    0x7cf48d8c, 0x19a40eb1, 0x3edebd43, 0xf3d7206b, 0x4d50ac50, 0xa60c4956, 0x8091ce7b, 0xa3c47ebc,
+    0xedc61baa, 0xeedd104c, 0xd51bed47, 0x40e67938, 0x298d47e3, 0xf6865f5f, 0x91e4dec2, 0xe0315276,
+    0x0293eb1a, 0xcdc7452c, 0x079d8266, 0x68bbea47, 0x55811c75, 0xb431ce8c, 0x7be812c2, 0xc47f1be9,
+    0x1157343f, 0xd47fc8cb, 0x1cb65d2f, 0xab15e102, 0x364008f3, 0xa7550a90, 0xfa178825, 0x9d39e84b,
+    0xbce52d69, 0x4a552332, 0xf318512e, 0xf58e1d9f, 0x4e1a1c26, 0x5b392c42, 0x9c40f483, 0x3c510bd0,
+    0x1eff82ee, 0x44407cdc, 0xb9d77328, 0x9f7f20b3, 0x66c56c50, 0x6bce2c2c, 0xbc528ea5, 0x29fc8164,
+    0xc3858a5e, 0xfa978ff1, 0xe44ab080, 0xe5636e75, 0x5ef6838d, 0x8afdc039, 0xb6256a87, 0x9fb3f7b6,
+    0x6cf86d22, 0xdec7380c, 0x411e9ab6, 0x6ecf32be, 0xc4e92377, 0xfe12214c, 0x7320052e, 0xef8254bb,
+    0x811cfc47, 0x775c4227, 0x77e061bc, 0xd06bfeb9, 0xbb79155b, 0x8c956403, 0x577571f2, 0x5fc38193,
+    0x122d845a, 0xedd925b4, 0x8d51e54f, 0x4f79d906, 0x5422f6fd, 0x89267c55, 0x02d0cd5f, 0xe80f9926,
+    0x3df6e315, 0x25547f91, 0x86d79e69, 0xfd06c92e, 0xfbf83382, 0x5bb39599, 0x30737adb, 0x5bc2cc87,
+    0xe0eaa6b2, 0xd142d899, 0x8dc2e30e, 0x4dcf46d8, 0xe58ef3d0, 0x7017deca, 0x00b489ab, 0xba3aab11,
+    0xc0322434, 0x18ee4d52, 0x9c012d0a, 0x28349474, 0x9492facd, 0x3678e495, 0xb575d7c2, 0x3068716a,
+    0xfbc7f38f, 0x0757cdfc, 0xde768911, 0x947c3315, 0x2d33ac24, 0xbedb3140, 0x80e22b2a, 0x4e765ee7,
+    0xf509fb3c, 0x8f1c4311, 0x45790c41, 0xf7a09df1, 0xc3b40d37, 0x8ad91216, 0xb3494567, 0xffdca5fb,
+    0x6a67d14e, 0x8ab28ea8, 0x5f9ab4d9, 0xe438b08b, 0x4d280f48, 0x1be1fc1f, 0xf8964a87, 0x66c1e5d7,
+    0x2d6e5f80, 0xea3a548f, 0xe843abf8, 0x435e41c3, 0x371dd964, 0xf86eaa06, 0x4668d7c5, 0x380a8f1b,
+    0x85e8c888, 0x136f146e, 0xb57c9033, 0x84ec8914, 0xeaf2a062, 0x10e58184, 0x9f46bfb3, 0xb0b08f8b,
+    0xbe1aebee, 0x9d0bdbc5, 0x67282b0e, 0x07bace82, 0x906a470a, 0x670e707d, 0x64390733, 0xae48a119,
+    0xdae202a9, 0xd1c37b29, 0x55ccce79, 0x94a8075f, 0x12e26cff, 0x328938c2, 0xe2bedbf9, 0xefb7ccfe,
+    0xa6bfe78d, 0x4e591840, 0x5bebf7c9, 0x349a241b, 0x3afeda26, 0x3a0cee5a, 0xe94f5b7d, 0x36c02795,
+    0x1895a4af, 0x24347772, 0xae6cf2d6, 0xbdb11d02, 0x4f597749, 0x247f7490, 0x44a4edd0, 0x2335859e,
+    0x0536ebc5, 0xe2ca9d59, 0xc0906250, 0x413dd89b, 0xe0f821bb, 0x421b2c6f, 0xc019a692, 0x1f33fc4f,
+    0xc1fd43c4, 0xc24395d2, 0x13d85e8c, 0x6e912b68, 0xbcab5ae0, 0xf24c0c15, 0x4806312f, 0xbc358529,
+    0x6708f915, 0xa4e0ebf9, 0x8e99daca, 0x798dec0f, 0xafee0b3e, 0xd64c102c, 0xe8cbb0d8, 0x03525223,
+    0x4528d803, 0xa8403933, 0x7925271a, 0xff07d033, 0xc83d1621, 0xe61b068b, 0x16cf30c6, 0x5770d372,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000050216813883093446110686315385661331328818843555712276103168 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe3, 0x7b3ad4e8,
+    0x00000000,
+    0x89dd16e6, 0x6803cb71, 0x1977e5d4, 0xf127cb36, 0x4aea7e55, 0x800883ff, 0xf5892604, 0x0236844d,
+    0xd2bcfdeb, 0xcdc36ffe, 0xe432c6c0, 0xabb0236d, 0x81c7d9ed, 0xe0878060, 0x919b719c, 0x4a584398,
+    0x1e0223c0, 0xb80f8d9c, 0x9f42b7f7, 0x7a413312, 0x85b54cc5, 0xc805542c, 0xa0ec6b6a, 0x67942acf,
+    0x06fe7013, 0xc2c7df24, 0xbe2de6c5, 0xe902f9e6, 0xc3b85a5d, 0x1d38a4e7, 0x2a4deaef, 0xeba0fbb3,
+    0x6c014f20, 0xc230c10d, 0x61f90ebd, 0x506ffe4f, 0x050d4d43, 0xc61a1f46, 0x5556229d, 0x07152f92,
+    0x22d804ee, 0x588ed9d5, 0x048f3198, 0xe9b6d744, 0x8493d215, 0xd71fc57d, 0x2aa4bf38, 0x41a1d109,
+    0x3abab647, 0x7419c35c, 0x520a6d93, 0xc2a008a5, 0xeb43d78a, 0x77a6c155, 0xaca26adb, 0x8ffcdb05,
+    0xf898b469, 0x51e4c1cf, 0xf5ba3dae, 0xe9999841, 0xbfcdc7e2, 0x4bc973f8, 0x24850265, 0xf93977d3,
+    0xf0eb7165, 0x6a3d02f7, 0x97af5fc2, 0xc9b1fcf0, 0x77d747cd, 0x03e3c4eb, 0x64f80921, 0x36deab5e,
+    0x9e74ca81, 0x22619087, 0xdf2fec42, 0x78dde2cc, 0xd8d31bc5, 0xa8d01db2, 0x5f16e346, 0x6e775cd6,
+    0xbd143b5e, 0xffd47506, 0x53360b18, 0x815840e7, 0xe3739ac4, 0xa08809fc, 0xd5338fbc, 0x6d45299e,
+    0xb3bb0343, 0xc7ea05a3, 0x625c2ace, 0x3f92fbb1, 0xde6177f4, 0xb886da04, 0x80696d45, 0xc3812456,
+    0xe1a28fe0, 0x9c4eacb4, 0xf10b9145, 0x308e522e, 0x3ba0f810, 0xb20874f0, 0xca1333a3, 0x65c64b0a,
+    0x948a8fef, 0xb0c2a4bc, 0x3b7c7751, 0xa6622f92, 0x66f0da2e, 0x966e9140, 0x551a88a3, 0xbbe219ed,
+    0x1b873214, 0x34bc6b12, 0x272c1f2b, 0x213196dd, 0xf6715f4b, 0x97751ebf, 0xc0eb0893, 0x9f632485,
+    0x986816d4, 0xf8ebba6b, 0xd0f4acef, 0xf97fb2df, 0xc2540a93, 0x6e864761, 0xcbd0755f, 0x4855c2f6,
+    0x5a2f99df, 0x1849939c, 0x01fc8d27, 0x1d948053, 0x57a6d676, 0x51d04b3b, 0xbfaca48e, 0x6d3470bd,
+    0x60d6f255, 0x860b6869, 0x0ac17618, 0xc22b0a43, 0x6d061cde, 0xfc38544e, 0x24a9ae9c, 0xad8dd166,
+    0x6ef92a58, 0x6d209543, 0xa49b87fc, 0x7ca2fd2b, 0xdb3f09ab, 0x6084cf8d, 0x1de3eb8c, 0x884dde75,
+    0xff1ceb54, 0xd7638593, 0x217bdefc, 0x1f2dd5f1, 0xa9064c78, 0x68e5f5d6, 0x239927bf, 0x321e5d88,
+    0x587650ab, 0x86813cec, 0x16c0189a, 0xcfacd55d, 0x48932c58, 0x0d225c81, 0x36f1c77b, 0x70628557,
+    0xb54341a4, 0x4a028237, 0x72a467c6, 0x35b58afa, 0xa05d1b23, 0x2075db9c, 0xa9ce0e7a, 0xe2cec1f8,
+    0xbf99e1f4, 0xcdaa26c5, 0xfc9e2ef3, 0x1f30d3fb, 0x36dd8469, 0xf496d264, 0xee94c97e, 0x892c897b,
+    0x913b7a1d, 0x70b8fa78, 0xe56e5200, 0x2505c2f6, 0x8c5d4595, 0x66a0e0c0, 0x4a2420f1, 0x2563a979,
+    0x857f724e, 0xf23e7883, 0x0a21ebcc, 0x51c5d304, 0x0d53b375, 0x702dd049, 0xe33751f2, 0xf9648ccf,
+    0xa8ab5651, 0x522b6457, 0x8d0db306, 0x3aa8e162, 0x5f0ce552, 0xe9ad9f44, 0x82e7194c, 0xa9c19130,
+    0xaa536aa5, 0x03f02482, 0x886d9340, 0x39d91718, 0xbdfc8271, 0x199d19b3, 0x23128733, 0x8b9a3e94,
+    0x813e9fdc, 0x60b2f67b, 0xd0d5e8e6, 0xc876321e, 0x4195645f, 0x3b9b6a75, 0xb2a111b6, 0xe549c3be,
+    0x70bea314, 0x02e92b66, 0x10ec3d31, 0x9ee95993, 0xfc1b9fc8, 0xa53e968c, 0xb1eda1b9, 0x23f9b61c,
+    0x6b9caf90, 0xbd226ee8, 0x932d08e9, 0x40ef39c8, 0x267b4970, 0xbb485dec, 0x63ab0a06, 0x91276b14,
+    0x64e4a3d4, 0x44b03f43, 0x13ed8f9d, 0xa95e2d28, 0x47daab8d, 0xb1b9c709, 0x79dfedb8, 0xad5dbd2c,
+    0x0e1072d5, 0x261ea2f3, 0xce1b3dac, 0xe2d8d204, 0x8d20eb25, 0x93a4edab, 0x24796b97, 0x742328b1,
+    0x656f0e94, 0xe22e04d5, 0xc9b3c9ff, 0xe6b26955, 0x872021c0, 0x28e21576, 0xa64098f1, 0x68aa43a6,
+    0x78c351e2, 0xc45fb2bd, 0x6ade1394, 0xc8bcbb42, 0x600f66a6, 0x0b15f064, 0x289fadf1, 0x29fbbe21,
+    0x3a45a319, 0x1f717397, 0x177a3bc3, 0x7b6d381e, 0x316fd8fb, 0xfe16b558, 0x4ce509be, 0x4aa0e740,
+    0x9d5504a4, 0xed79a425, 0x45b44f0a, 0xc6b9f27b, 0xb3cd6218, 0xcafc1bd7, 0xa617b31f, 0x2727ad7f,
+    0xae83bc49, 0x507be2a4, 0x2607b690, 0x3ed8a4bd, 0xc9ff44f6, 0x2d0692a8, 0x239a9167, 0xbb0c43a9,
+    0xee35a628, 0x1b0aa321, 0x64f19dfb, 0xf16d3a27, 0xfa079116, 0x4611fb0c, 0x739f1624, 0xd2f0fe17,
+    0x6c45e663, 0x98380230, 0xb0e94cb3, 0x9c479f63, 0x569ee090, 0x65262273, 0x460eebd6, 0xe257e6eb,
+    0xeb91ab49, 0x3cb0e101, 0x1dd3f7a3, 0xc54e224b, 0x55edfc43, 0x99354226, 0xaa87a25e, 0x93d64d22,
+    0x884b714c, 0x42a4c9ef, 0x267f38b6, 0x751f9796, 0x2a899685, 0x45ee6d81, 0x5b283a0a, 0x7410a865,
+    0x7f78ae76, 0x256eb183, 0x74028210, 0x5b24ac27, 0x92646ffb, 0xcfd45bbd, 0x37decf0d, 0x9bb28d4e,
+    0x39fac967, 0xfebda971, 0x25091d90, 0x29130eea, 0x8839ae35, 0x59f06eb9, 0x1ea76bfc, 0x2688d759,
+    0xa5a3457f, 0xa6153f65, 0x286dcfdb, 0xe92b9d25, 0xd0fe7ae9, 0xba89bde5, 0x9fdf8eab, 0x87e7020f,
+    0xdfaecd39, 0x9613fc43, 0x5879d6ef, 0x8d0acd16, 0xf7c4fc06, 0xa3efed4f, 0x52332865, 0x83b21dca,
+    0xc15fbbe5, 0x45984da9, 0x30bf322b, 0xa67b7c52, 0xd0e99df8, 0x89264fbc, 0x17fc2228, 0xa9ff0ea2,
+    0x1e55afce, 0xdc4ebeb0, 0xcc7a82cd, 0x0c724d57, 0x87598e5e, 0xb228ea25, 0x274d4fef, 0x4cb523dc,
+    0xb2bfaaca, 0xf610cd22, 0xd1f28769, 0x5f98e694, 0xb1ec76bf, 0x17122d8c, 0xd5d46cd3, 0xa1240772,
+    0x046dff6c, 0xa0646765, 0xdb96a95b, 0x09220280, 0x83181fdf, 0x7774ae4c, 0x041a377f, 0x186ebdbb,
+    0xe5f3e7ce, 0x3df9c4b8, 0xd0941cf7, 0x2c6244e8, 0xea474476, 0xce4162a7, 0x885b256e, 0x06751b6c,
+    0x5593a87d, 0xf15ae291, 0xcce5c8bf, 0xcb322ef0, 0x90cbd76f, 0xa5ee345f, 0x8eb37ca8, 0x89e2fcb1,
+    0xa4d8401c, 0x9f9e031b, 0x359e11e9, 0xcc90378e, 0xe7526421, 0x4ccc14b2, 0xd3b80296, 0x287367ef,
+    0xa5aa9c56, 0xf1425f2e, 0x96c3182d, 0xa9619cd2, 0xbd3ba529, 0xc8412136, 0x0afe1bb8, 0x6f5f3b26,
+    0xd6be294c, 0xe6d998ce, 0x67b2a2b2, 0xbe068cb2, 0x9b9c5412, 0x59ffb95c, 0xa1a05e2a, 0x94964408,
+    0x79c4b902, 0xcab38246, 0xcec9f3d4, 0x079674fb, 0x26ff7de7, 0xf266af44, 0x653d8a3c, 0x8abdd696,
+    0xa25f6533, 0x26c6100e, 0x1d129910, 0xc6391b9b, 0x464c00e6, 0xf6e59369, 0xb4a48320, 0xd795ea3a,
+    0xfae0756d, 0x64eec0b3, 0x1a3685a6, 0x8afc160b, 0x272a15a8, 0xd2171128, 0xfd74770a, 0xc7d17ea4,
+    0x822373ab, 0xd3c398b3, 0x4fe48de8, 0xc6974f8d, 0x7c274326, 0x4fec989d, 0x772bda15, 0xabdcb4ac,
+    0xfd2f8673, 0x4deeac93, 0xb8794245, 0xc1c333f3, 0x990a1a51, 0x85058aeb, 0x285e8a73, 0x2ddc48dd,
+    0x01452025, 0xf7e3bdb6, 0xe98761dc, 0x3b9628ec, 0x95ac454d, 0x0836b8ad, 0x526a7e5e, 0xe0a13138,
+    0x5d9ec0d3, 0x22dc46d1, 0x0e8d5acf, 0xdad55a90, 0x4add6b17, 0x57d203eb, 0xab1b87b4, 0x72a0ed30,
+    0x0c25ab8b, 0x23d3c5d3, 0x95544270, 0xb3c9d9b6, 0x579ce383, 0x199eaead, 0xd32b8393, 0x2c8b9805,
+    0x1ee38c41, 0x73139823, 0x3eecb06d, 0xf4be34c6, 0xb6ca93bb, 0x12237634, 0xfba7c84a, 0x65412b6a,
+    0x2a0eafa0, 0x171a6475, 0xef65e57a, 0x9de6fa12, 0xc0fa7213, 0x0b16b5c1, 0x3916febe, 0xd418dc34,
+    0x0573552b, 0x59fbf469, 0xf2520efb, 0xf6b14a5b, 0x9da123e0, 0x890dc1b3, 0x9e289b54, 0x5269745f,
+    0x22bcd82a, 0x9d708392, 0xbb3eb2b9, 0x023f99d7, 0x3926c271, 0x389fa36e, 0x497df085, 0xaa16c04b,
+    0x4c68d8b1, 0x43d94a6d, 0xbaf52262, 0x026ac36e, 0x374fa4c6, 0x0c002f2b, 0xe66be03e, 0x203e187f,
+    0x0a2dc778, 0xe5b03b9f, 0xb9739fac, 0xa832361f, 0xc1c634a2, 0x5e45186e, 0xc4dced91, 0x004a2f88,
+    0x68d0f26c, 0x7b86291c, 0x20f16c71, 0xccdf543f, 0x6f449efa, 0x5c7e88f0, 0xd5b1d943, 0x2db27542,
+    0x1627abb8, 0xb13bff4b, 0xa66fa065, 0x43651604, 0x9ad6b275, 0xf3479c06, 0x59ce3627, 0x6b271592,
+    0x80e966ea, 0xefa20f23, 0x74c76077, 0xd8de820e, 0x38a8cf40, 0x90967c65, 0xf4164550, 0xea80e8cb,
+    0x8571f0d1, 0x1839ea8d, 0x9483abb6, 0x61e37e2f, 0xc0fce741, 0x9b33cd8f, 0x1cbb8880, 0x8e091c6b,
+    0xd671ed89, 0x695cc83b, 0xc1a8590e, 0x59ec8c58, 0x86d3c975, 0xf2b942bd, 0x9c39281c, 0x1dd3425a,
+    0x6c6e3ad1, 0x7705f305, 0x05258bc7, 0x17fe9ea1, 0x44ba6989, 0xb5163632, 0xf0c948a7, 0x9647b2f1,
+    0xa4eab81c, 0xfc64483a, 0x58607afa, 0x82f5bbb0, 0x8e0407af, 0x9bcde766, 0x852d94bf, 0x16de88ea,
+    0xd5364bb4, 0xae7d7b39, 0x8a7a18f3, 0x64db1d71, 0x8a0feb0c, 0x44c4cc9f, 0x2ecaaa65, 0x546b64ec,
+    0x1abc79c6, 0xd9456e01, 0xbb4f8d61, 0x1f3bbf46, 0x9439f8eb, 0x30cb2cd5, 0xcefc20dc, 0x3e234b0c,
+    0x559a9992, 0x02300de5, 0x445b3b23, 0x69886cdd, 0x454a95fb, 0x7d788be9, 0x7285721a, 0xe0376bce,
+    0x968bd5c4, 0xdd6d4f72, 0xebb45929, 0x96f8a5a4, 0x867c5d2c, 0x3a002fcd, 0xfd8db9b9, 0x297c0cf8,
+    0x5791cf12, 0x23659c34, 0xd26d437a, 0x5a65cff5, 0xdd80dcd8, 0x6a89fe8b, 0x2ddc42f0, 0x00d0d675,
+    0x36ffe945, 0xae655703, 0x6be79704, 0xe5c8f8b9, 0x41698c14, 0xfa048170, 0xa2bb0d52, 0xfcb25519,
+    0x6942072f, 0xcba6dfff, 0xfcff9a2b, 0xc907e5d7, 0x322035fb, 0xe19905e1, 0x101f7b34, 0xbf17a933,
+    0x14f93aad, 0x6a5bef2f, 0x6f6cb3b0, 0xa509ea95, 0x8a9c9e5c, 0x80e1035e, 0xd4ea8bec, 0x3c386860,
+    0x5cb8d306, 0x05bfeb5f, 0xe5f7a8fd, 0x6a6c2a2a, 0x4b53c71b, 0x6fa04575, 0x578878a4, 0xb29635bd,
+    0x235de665, 0x8c68e4e5, 0x3a2c98fa, 0x5ece4da1, 0xd54bc62f, 0x3dc64c27, 0x1cac4f6b, 0xbe73a56e,
+    0xe8a342fc, 0xbd98a9d6, 0x625ebed3, 0xa6e7f8c9, 0x1091bcd7, 0xd16a7f2e, 0xaecc5fc2, 0xfa0ef9f4,
+    0x6bc665f8, 0x2047023c, 0xa830604e, 0xd27e2d5e, 0x4f195b58, 0x3d7aa43a, 0x7a2b9ed6, 0xdf8120be,
+    0x108b8641, 0x824bc44f, 0xaf621379, 0x952b06de, 0xdb67262d, 0xd10d31fa, 0xa02fac4a, 0xf66c852d,
+    0x0541f468, 0xf37f805a, 0x3b215871, 0xa75c0956, 0x970126fe, 0x1513f4c1, 0xf494d6d4, 0x1e695d4f,
+    0x66ba22e3, 0x94c377cc, 0xa2531441, 0xed897b5b, 0x51de3934, 0x503d7d96, 0x57f4c805, 0x01474622,
+    0xa8c62b99, 0x30e1ab94, 0xe71cc4cd, 0xf79b0257, 0x73f47713, 0x77934196, 0x9935b164, 0xdbe81356,
+    0xeb77d582, 0x9000776e, 0xe77d85b8, 0xbbe525aa, 0x71cbb0f8, 0xf5d00947, 0x11f4b7a3, 0xb5294a47,
+    0x2dc24aa2, 0xc3ba05c8, 0x557e7ce6, 0xce367199, 0x26a3474d, 0xe9d22da2, 0xdee447c7, 0xd6e83c30,
+    0x56347034, 0x98f73f2f, 0x24f308c3, 0x76cd15d5, 0xb2c80a03, 0x115ba2a6, 0xd709d1fe, 0x4a2a8950,
+    0x7adb4810, 0x0bd38f38, 0x9df57ba6, 0x8262edc5, 0x44e38a7c, 0x4f71fd11, 0xd84a05a6, 0x94f9d7b1,
+    0x4f108a8a, 0x0cbe8967, 0xd8594942, 0xcf0ee404, 0xb87e2a60, 0xc6feafbc, 0x8f70947f, 0xd3de4bf1,
+    0x48c620dc, 0x224eb1c4, 0x09f8dd0f, 0xff2c4b43, 0x8a149a51, 0xfd32d437, 0x0c5cdfa9, 0x01f8f5c3,
+    0xeb669628, 0xec7a1dbd, 0xd90bf96d, 0x65e56353, 0xbdfeb627, 0x345002df, 0x1f4d056a, 0x168d3982,
+    0x1d0398d9, 0x341dc9b5, 0xc78542f9, 0xbfce121c, 0x5c9188c1, 0x31fbe1ed, 0x2f6a3179, 0xe44186f9,
+    0x11aa5863, 0x19d1d7e3, 0x31f63dce, 0x23bda278, 0x4c13d464, 0x7195d5bb, 0x7e521212, 0x88434a23,
+    0x04d8664b, 0xba3b55b4, 0xcc4bfe09, 0x63a8535c, 0x27560c24, 0xc8b75415, 0xc19dde80, 0x4a160f22,
+    0x8caf2165, 0x69ecc43c, 0xbe86ee78, 0x3c38201b, 0xbacbaf29, 0x6ea7051f, 0x40cdbaf6, 0x0f5a1dfd,
+    0xecf3ca72, 0x5a47fba2, 0xc922e13d, 0x6231571b, 0xb7cb90b6, 0x915ec75f, 0xfc9139d3, 0xbfcb0fab,
+    0x9f29c132, 0xc59ca1ba, 0x0a682447, 0xe12704d1, 0x1d50b193, 0x6cc8bebc, 0xe242487c, 0xd6e183a3,
+    0x508248b9, 0xd65e0101, 0x31a9f707, 0x48005cd4, 0xf4751b3f, 0xa5406d3a, 0x92c4d09f, 0x5f83385f,
+    0x9fc1c381, 0x126ff368, 0x5d4cabc5, 0x796a38fd, 0x7d840510, 0x02e91b06, 0x577c0713, 0xc77adfe1,
+    0x442e5329, 0xb69ec27a, 0x54fb2090, 0xc0d63c10, 0x18f2767f, 0x0f2c3955, 0x94e2bde9, 0xa3c230f8,
+    0x7a2d1231, 0x588e1886, 0x2c7c929e, 0x14ffbf9d, 0xfed54f49, 0x23616e74, 0x98840a6b, 0x51f8b054,
+    0x75999c8c, 0x8e32a387, 0xd311e544, 0x74196092, 0x753cc2b0, 0x71f24521, 0x750e8a93, 0xa7ecb0cd,
+    0xc37ce1e7, 0x72bd219d, 0xb238c028, 0xd4e63fd9, 0x89de733d, 0x6ca1bf5d, 0x106ce024, 0x56e9c7ea,
+    0x7a1e625f, 0x15e04990, 0xc6bf10ae, 0x34b7db31, 0x22fa0c10, 0x2318c53f, 0x2222cc3e, 0xb16fbb9b,
+    0xfa02eaf7, 0xcdf1dfac, 0xa09879fc, 0x2a10cd3c, 0x7f3529a9, 0x7fbce64a, 0x827f8614, 0x38d78845,
+    0x7a30d394, 0xcd055c8a, 0x01b06b55, 0x323186ed, 0x20faae5b, 0x5f0ae826, 0x0902b857, 0x6d90fe3d,
+    0x45b3a142, 0x81558eb0, 0xdfc422fb, 0x748114c9, 0x223ed196, 0x6dda502b, 0x91eaf651, 0x4f0f08c4,
+    0xef4408c2, 0x7f25e558, 0x6f4df56d, 0xb48f0479, 0x4a4127f0, 0xa54973f3, 0xbfead6cc, 0xe98e06d1,
+    0xde8c8b93, 0xcf1a175e, 0x682a6116, 0xa3610833, 0x96c0f073, 0xab42bc84, 0x8c296deb, 0x66e3d6d8,
+    0x7a4e4775, 0xfc3723e3, 0xaa84be57, 0x0f9fc6de, 0xd49c1feb, 0x271bb2ec, 0x4ea50e3e, 0x65672ff6,
+    0x4741027e, 0x5ad6633a, 0xc74d1b78, 0x3392d5c3, 0xbf5b2f8b, 0x7e21d682, 0x92532653, 0x8cccaa6e,
+    0xc1e83698, 0x0752912a, 0x56c3f5f6, 0x8346152a, 0x6fbd85e9, 0xf70b3638, 0xb8cea7e3, 0xdfc0ec9c,
+    0x0c90debc, 0x9290b3e2, 0x25878ceb, 0x1022bac9, 0x59073089, 0x09670042, 0x2f2c36b3, 0xa2cb945f,
+    0x031f553f, 0x3e2a9648, 0x0fa6b4df, 0x1dbfcb16, 0x7a4f93c6, 0x27e286a0, 0xd76cb30f, 0x1c78ea89,
+    0x8d68c4c9, 0x517ff66c, 0x4f8fb279, 0x2bae80a0, 0x0beb76b8, 0x9ce6bb74, 0xb373ba02, 0x72b241ea,
+    0xf7825f10, 0x539da1d2, 0x13f5e569, 0xda65b85b, 0x4d2685f4, 0x0f1ad88d, 0xbe8b8ca0, 0xe0430d04,
+    0xbdb4e7a0, 0xe9a10cca, 0xfd0aa19a, 0x16518801, 0x25809b6c, 0x54955f8f, 0xab67721a, 0x3ddb6b5f,
+    0x00df61d4, 0xda411102, 0x232d6486, 0x4d47c11e, 0x0c926d6c, 0x44e6df86, 0x7c802fd8, 0x1e5ae83a,
+    0x390b6a23, 0xccb70d72, 0xb59e129b, 0xb97e0428, 0x44f6733e, 0x4110d441, 0xa76bbba6, 0x1e067d2b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000025108406941546723055343157692830665664409421777856138051584 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff1, 0xbd9d6a73,
+    0x00000000,
+    0xbbdd5333, 0xc794416c, 0xc0146e45, 0xcea555a8, 0x42d61134, 0xe4e8b5ca, 0x813d5437, 0x34d3e28f,
+    0xc1cc7802, 0x6f729a85, 0x86d7fd19, 0x2680d44d, 0x23897ab2, 0xaa35398b, 0x7f43c204, 0x23ee452e,
+    0x2fd536e3, 0xf419e1f7, 0x20a425f6, 0x84f887e5, 0x0953efbb, 0xf1cbc12c, 0x2b908180, 0x3c8a9919,
+    0xc5da8b39, 0x89685dda, 0x369bec6c, 0x11e16b28, 0xcaa0a850, 0x020cc508, 0x42e43c9e, 0x8ec1db1b,
+    0x9066109c, 0x428738ce, 0x4fecc63e, 0x52dae409, 0x8a2647fc, 0x15585d13, 0xf0b04606, 0x3329351b,
+    0xca132cae, 0x16ca918a, 0xa64d70b1, 0xafcabe5f, 0xeb627098, 0xdab5a42e, 0x607cb0da, 0x6d2bf630,
+    0x6efd564c, 0x7d8e9480, 0x7d6ebec0, 0xcc4eac28, 0x721e4fbc, 0x312767dd, 0xabaaf570, 0x07d7de15,
+    0x922ac3a0, 0xb2d7bde3, 0x623c6337, 0x0a451d5c, 0x5b87f4ca, 0x48c6c358, 0xffb3bfaf, 0x54d9dea5,
+    0xc14b725c, 0xa706a66e, 0xccaa6f9c, 0x6f4087b3, 0x02e005c0, 0x54d7e59a, 0x74e23a50, 0x8ff115f6,
+    0x4a573dba, 0xf866d327, 0x812580cc, 0xeda6ee38, 0xca78fc3f, 0x54ca42b9, 0x3ed7c86c, 0x4357fcf7,
+    0x6cbc3a64, 0x0f96477d, 0x92053118, 0x43ea201a, 0x876e3f21, 0xcecae41f, 0xae46b341, 0x941750fe,
+    0x4dd57254, 0x79a3ce92, 0xb353a539, 0x9f2ff69d, 0x2b52010a, 0xdff52238, 0x32086760, 0x52d3f5ed,
+    0x5db4b1fc, 0xfec765e4, 0xae3d6462, 0xf1f56230, 0x96b85ab0, 0x6194d556, 0x8b942b31, 0xaeee0afd,
+    0x825200a6, 0x2d157a83, 0x2010e1b6, 0xdb6d2605, 0x9cb38249, 0x5e4ed485, 0x35d018af, 0xe986ecc0,
+    0x63a39ee7, 0xa0c56589, 0x347dcf75, 0x143c177f, 0xccce5577, 0xdb5976fe, 0x32fe51f6, 0x451ce7de,
+    0x9b9043e6, 0x864bcbb0, 0x33ee0ebf, 0xc239d918, 0x44ab2ca5, 0x9307a8b0, 0x85437089, 0xb36387dc,
+    0x3288b3d1, 0x1375fc38, 0x4f40d5c2, 0xd6d461cd, 0xdc34bba2, 0xa675fd4b, 0xc6eb896a, 0xb47cc8d4,
+    0xb78136f0, 0xaa388eef, 0xbd9ea084, 0xadcd17ef, 0xf862193a, 0x15eac66e, 0xf227dd72, 0x8f2d0e59,
+    0xc138dcc7, 0x4c47ed1b, 0x378dcc23, 0xa7c8a31f, 0x1ae179ea, 0x9a245bf5, 0x0782231a, 0x49d2c794,
+    0xeb5abb2c, 0x385597e8, 0xe43cea4a, 0xdeddd55b, 0xde9fbe5a, 0x473963be, 0xc90b0a5c, 0x56d69817,
+    0x923d5140, 0xf23d6b4b, 0xa073f60c, 0xee5fbb0f, 0x3983dbe2, 0xaceec28a, 0xdacdaa4f, 0x91e41fad,
+    0x4bbb5ef3, 0xd0955bfd, 0x908e6316, 0x75e942d1, 0x8f2f76d6, 0x48bb68f2, 0x248864eb, 0xdac438a2,
+    0x7f300419, 0xeb800b6e, 0x838e92bd, 0xc134a08c, 0x51f583e9, 0x422d0ccd, 0x81e1efe5, 0xb8620219,
+    0x59025346, 0x2a694ea3, 0xd0944fad, 0xcc7d695c, 0xdd77f7f3, 0xe2d3dcd9, 0x11b12dda, 0xe80ee930,
+    0x603e90cd, 0xa36b3ba3, 0xb69ef8dc, 0x5c73db31, 0xfdd4376d, 0xef632912, 0x0a310134, 0x99ce8778,
+    0xe55d5ccf, 0x121a9a6e, 0x76d9acbe, 0x9eb2d356, 0x18bdd927, 0x70e538f2, 0xd6a236e2, 0x97390ca3,
+    0xf13c97db, 0xdff50869, 0xbaf8ecba, 0x1d1f61a4, 0x0eb61834, 0x43c7e56f, 0xad435291, 0x04204be0,
+    0xc42ffb01, 0x6e98c7be, 0x64891550, 0x7e0f5404, 0x6b8c1398, 0xa32ffab6, 0x442cf0ab, 0x39443283,
+    0x8f2c6e95, 0xaa7d355b, 0x621025bc, 0x91a0a6c8, 0x68130437, 0x61d2ca04, 0x9e2fd6a3, 0xa77e0336,
+    0xbf5f539e, 0xec816953, 0xabcf4f54, 0x1d8bf389, 0xa414e7c2, 0x8a558a55, 0x63030ba1, 0xf4ce947e,
+    0x652f0492, 0xc899d015, 0x1e0117c4, 0xd44b4151, 0xa6d8bcf7, 0xb144eba8, 0xe48daf5b, 0xe0d2f674,
+    0x86dc01f6, 0x0964114f, 0xfb0ba0b6, 0xad554971, 0x31439348, 0x12a0e349, 0x3e640cda, 0x70ed1c44,
+    0xd3aff8db, 0x81343243, 0x65d6ad21, 0x36d481e4, 0xea99a876, 0xad2d9bb4, 0x3461eb8b, 0xea06daf6,
+    0x1ac2b505, 0x4f26cbf1, 0xa1d0bc16, 0x0dffa6b4, 0x96ba3ca7, 0x7d8e30f0, 0x1c0bea65, 0x6d2c7ae4,
+    0x50c835f5, 0x6490290e, 0x151d7554, 0x87a26c06, 0xddccc428, 0xe6396b78, 0xa32b285a, 0x6e5fddc3,
+    0xcfc611cf, 0xac222bc3, 0x1725f5df, 0x47ad57e2, 0x0484a275, 0xfd784db3, 0xe99fe497, 0x1bb6742e,
+    0xbad9929f, 0x3efc78b3, 0x51d07f3c, 0xc01cd13e, 0xcb6c2084, 0xd68fff17, 0x481e9ed7, 0x03d6fd90,
+    0xef6dd8f2, 0xdc0026da, 0x3910dff1, 0x0649591f, 0xf0b7f54b, 0x1f566092, 0x33ea447d, 0xc5a87bf1,
+    0x3846d9fb, 0x06411180, 0xc1d378cf, 0xc65f7a12, 0x106abf10, 0x54aa1f0c, 0x0975922d, 0xc46a2044,
+    0x09cfd618, 0xb741ca71, 0x0479f23f, 0x53f239db, 0x6164d467, 0x1598278c, 0x4eff5b10, 0x6a50c015,
+    0xe130035f, 0xbdd813f3, 0x1a621e91, 0xb9db629b, 0xc4c467f3, 0x674cf2a2, 0xbef4a23f, 0x5ac34f41,
+    0x8d75174e, 0x65377ca8, 0xf7f52645, 0x20447f6d, 0xd3b94d1d, 0xae6064c1, 0x379a7dbb, 0x804616de,
+    0x857a1561, 0xb0612738, 0x6f94dc73, 0x68ee08f3, 0x5f1da236, 0xf9614460, 0x5a779643, 0xb4ea4c7e,
+    0xd05c5854, 0x2cf017e7, 0xe9f316b7, 0x48668320, 0x7a6381b4, 0x1c9aba74, 0x6433769f, 0x1b17e723,
+    0x201f7ed5, 0x0874a926, 0xf72b84ce, 0x104e371c, 0xa9b1499b, 0xcd3c6457, 0x5558c1e3, 0x5c069f23,
+    0xb9948e3f, 0x7d48a8bb, 0x83cee371, 0x050129f2, 0xe38b86f8, 0xbf49e8bb, 0x9f26f203, 0xf39799d8,
+    0x2a68e119, 0xfa20b23b, 0x8f74f10e, 0xbd23c878, 0x4968f2a9, 0xea94f128, 0x64307835, 0xab49959d,
+    0xf5bc6cb6, 0x1b14821b, 0xc853b49f, 0xe9dafe0a, 0x1594e3ac, 0xd2615d75, 0xa346fb8a, 0xfce9dc80,
+    0xf3dd9e3f, 0x63a720cd, 0xade24bff, 0x3fac5f6c, 0x8a43c19c, 0x75ae28a6, 0x43dba5ed, 0x62b9a79f,
+    0xc61dd17b, 0xd8b28595, 0xb58caac7, 0x576e9f7d, 0xdce310ea, 0x5018af51, 0xde6182a7, 0x73b547f7,
+    0x7aa45730, 0x4ac51a43, 0x26fb9871, 0x8a62812b, 0x7e0c4e39, 0x9655325a, 0x05e077a8, 0xed609e89,
+    0x3b1100d1, 0x2898ae8b, 0x26c12b67, 0x37e774c0, 0x42a0d565, 0x1ac7ae14, 0x73e5bc90, 0xfe80b530,
+    0x29c7cb8b, 0xdc8c0f7b, 0xda0f2f88, 0xa05e10e1, 0x93f8d9da, 0x1b5cff80, 0xe7d011e8, 0x555a943e,
+    0xfb0064bd, 0xd93dce70, 0xa437e0db, 0x611d11bd, 0x9e235e33, 0x6474df9c, 0xbd723e5b, 0x90e9f00c,
+    0x77898f98, 0x4b4b5cc6, 0x3c140730, 0x206ba9e2, 0x66b61461, 0x8ea65474, 0xe576f172, 0x4db56749,
+    0x223caddf, 0x71617662, 0xfdae7baa, 0x78130bc6, 0xc62ac0be, 0x1cbe41ce, 0x4524a563, 0x0cb2fd25,
+    0xcbc50022, 0xd0487c61, 0x1f6b4d22, 0x4e45a97a, 0xec9c236e, 0x359fce95, 0xb0bf330e, 0xe3e5d53f,
+    0xda6672c7, 0x18ad988a, 0x16200c3d, 0xa5946f5a, 0x24099f17, 0x4dd2da45, 0x845a8727, 0x0afbc2f4,
+    0xe068cfc8, 0xe21b3dd5, 0x965bad73, 0x6069ea9f, 0x7d83df74, 0x1dd2fec8, 0x7f0d591c, 0xd4e81c6e,
+    0x959f93a0, 0x6ee55271, 0x46697094, 0xc8ca0bc7, 0x99bb8449, 0x98e7811d, 0x07ca0229, 0xe6e6cb7d,
+    0x6fc2cab4, 0x349b1572, 0xb1e5e5ea, 0xf89f5e04, 0x041afc05, 0xf937402b, 0xa579495f, 0x1aab32c3,
+    0x6a0c77f9, 0xdc40f599, 0xd0547a37, 0xdfcc9dc0, 0x8bfcdf55, 0xbc28e820, 0xb42337a3, 0x5e2f0daf,
+    0x7bd3f125, 0x024f43a7, 0x6410ee86, 0x7d979ab8, 0xb825b7ba, 0x5d076acd, 0x61788504, 0x66bc788d,
+    0x9863a05c, 0xbd42da55, 0x188b5725, 0x70872ba9, 0xc12225fa, 0x4a6a9c30, 0xa272c6c0, 0x603f46eb,
+    0x957d9e0c, 0x99dc2c99, 0x536daadd, 0x4ff09757, 0x86087c5a, 0xbb494ebb, 0x9192fe55, 0x47f7c71c,
+    0x5ab9973f, 0x160ffa3d, 0x361a44f3, 0xe02f7aeb, 0xee8c86a9, 0xa1d7adaa, 0xaadf32dd, 0x8a89e4ca,
+    0x02683fdb, 0xfc63604b, 0xd104177a, 0x6065412f, 0xf906746b, 0x11a2dc07, 0xc98703b7, 0xd4c625da,
+    0xb2a1a6c6, 0x3982e1c9, 0x9db8adf0, 0xa1e0a4ed, 0xc263dc7d, 0xaefa43ee, 0xba565a98, 0x8ec40e83,
+    0xeb5aaca2, 0xbd7cede3, 0x855eeb00, 0xcc2c0c61, 0x8ce881f6, 0x75ae0f3b, 0x01c9fdde, 0x881fb55a,
+    0x902d8672, 0x1d1fcd94, 0xb25f2a05, 0x71477cb4, 0xe4f625aa, 0x869503ed, 0x6467c3c1, 0xd63632e8,
+    0xb4f8fa3b, 0x2a451ad5, 0x706ca45b, 0xc4267330, 0x051fcb22, 0x5aa7718c, 0x11f9183f, 0xc724d68b,
+    0x0065b0fb, 0x720d6f09, 0x4a921fb4, 0x2eaf9f95, 0xfd17f610, 0x722ace29, 0x22255b15, 0xf53f6a89,
+    0x1a598159, 0x03586ada, 0xdf6c1367, 0xbd8eed3c, 0xfce4fd63, 0xddb8466f, 0xbb704369, 0xe51eb492,
+    0x281b0131, 0xe0323b3e, 0xb7a3dad0, 0x29673525, 0x4336d439, 0xa7aa7ef6, 0x1ea47818, 0x9d85d33f,
+    0x9383e227, 0xdf66f3b5, 0x4242b2bc, 0xcb4827f1, 0x95ee0bbc, 0x2649d436, 0xb2c73920, 0xc718e2e2,
+    0xd13eccc5, 0x93bd1aa8, 0x4e77c801, 0x9f786095, 0xab704916, 0xc9d95d80, 0x32c4cd6e, 0xbf889797,
+    0x7506d8e0, 0x2679d127, 0xcbae8145, 0x03bbaa2d, 0xb8969d1e, 0x5610f4c2, 0x4361282a, 0xa1639edb,
+    0x2eebb0bc, 0xba0c4d75, 0xb3734094, 0x5cb83516, 0x3e19711b, 0x335d4925, 0xc75b33de, 0x14d0939d,
+    0xd8cb2789, 0xf3d4df1f, 0x31d9f888, 0x0b348b3e, 0x6e3c03d2, 0xe6e64f04, 0x70a8cb51, 0xd7530eeb,
+    0x6d8bc061, 0x4d21a285, 0xa16c849e, 0x5b2b7562, 0x71fc83b3, 0xf39fa353, 0x0130da01, 0x763b25c1,
+    0x73af5320, 0xa1594a2e, 0xa3d2f79b, 0xd581f286, 0x163d1fa3, 0x2dade1c3, 0xcf2c8875, 0x5e35cb32,
+    0x69bd1462, 0x6eb87904, 0x08c54f89, 0x5c192596, 0x425831e7, 0x154a3bb9, 0xb74c036c, 0x6a85602a,
+    0xfda72709, 0x50f5202a, 0x3f58e0cf, 0x6dae18a8, 0x51fecc9b, 0x0c37d4c2, 0xd62dfa65, 0xf8b86d4b,
+    0x154add99, 0x17de622c, 0x6f0a6e79, 0xc71afa8b, 0x84215a48, 0x68031541, 0x358da95b, 0xf8243656,
+    0x4bc7753f, 0x397949df, 0x18d8b067, 0x69fac669, 0x433e18d1, 0x0d7d98a3, 0x80c94e95, 0x50511619,
+    0x492c8476, 0xf8d3f82c, 0x1c48c353, 0x038bf8bb, 0x1a37166a, 0x41b7de21, 0xf339fa70, 0x2e8bdf30,
+    0xa31484de, 0x41553ea3, 0xfadc70da, 0x9b0f4264, 0xe8efbaa1, 0x9614eb65, 0x4ebf5fd4, 0xddf84b53,
+    0xec480547, 0xe288c10f, 0x045d0005, 0xbfe24470, 0xb97bf9b4, 0x464384ec, 0xee79f81b, 0xabb0a9cd,
+    0xd973c858, 0x562975d0, 0xcd28360a, 0x80a7b014, 0x80a2ce69, 0x812a8d15, 0xb9731844, 0x6d5b6db8,
+    0xc91dd96c, 0x43e3700d, 0x4d9fb0a1, 0x30be19c3, 0x8a79ec99, 0x009c649f, 0xe6f54533, 0x83f7a95f,
+    0xc83e072a, 0x655853b6, 0xbe8951f3, 0xc631b800, 0xa5208a5f, 0x98d88b41, 0x2a5c0440, 0x4576bddd,
+    0xa44010c4, 0x89a98fa5, 0xc9c230cb, 0xcf88f65b, 0x62b72ede, 0x8bb2d0bd, 0xc2fd045f, 0xcc6c8ca0,
+    0x18294f2c, 0xb7e64166, 0x02265c0d, 0x3e1c6ac3, 0x35980623, 0x07b3131e, 0x6d3ea247, 0x57bb1ffb,
+    0xe12cc8bb, 0xffd8b1a0, 0xee2ee8cd, 0xd959fbbc, 0x1bcd0329, 0x7518d59e, 0x996e841f, 0xef10a929,
+    0x32a039db, 0xe91cb146, 0x3b19c3a5, 0xfe07e0a2, 0x690c8442, 0xc02a5448, 0xe1d93343, 0x73cde4cf,
+    0xad5a749d, 0x10e0d87a, 0x1cd53feb, 0xd48fea37, 0xcf9cc9c7, 0xc4276944, 0x8c0f5293, 0xd3c9df35,
+    0xc27a3a30, 0x9c39feee, 0x8f91980a, 0x6fc57b91, 0x195b0169, 0xecc4eebd, 0x987a654a, 0xc2ad0d56,
+    0xddd8943a, 0x521f7457, 0x57fb9511, 0xeffb109d, 0x4c1d694b, 0x915f648d, 0x0e23863b, 0xe71a854f,
+    0xcd926724, 0xcf6b06ac, 0x5ca88d57, 0xc30e50f0, 0x617bd8f1, 0x690a61a0, 0x0b6f9bb3, 0xb139ac47,
+    0x5fa39af7, 0x20576169, 0x716f2a55, 0x1f723463, 0x8500ebdb, 0x674dcf1a, 0x0bd6280e, 0xbd628c4f,
+    0x2ac22334, 0x231317a3, 0xf9e425e8, 0xb46f201f, 0x0aa497f7, 0x286a642b, 0x64ab770c, 0x70fc8209,
+    0xe6b6cd30, 0x7d0b09e0, 0x3948c1f5, 0x9294f6c3, 0x52e27867, 0x60e3fbc7, 0xdec37d81, 0xc85de6ea,
+    0x01c09e89, 0x00a59f20, 0xf4e401dd, 0xb268bbf6, 0x174d53d8, 0xbbd4eff3, 0xabaf06ba, 0xd10db6c6,
+    0xd36f83d7, 0x22c6bcbc, 0x85a6c9ab, 0x8524cb0f, 0x40d364bc, 0x356260bb, 0xebe6d4ac, 0x3eedd63c,
+    0x5089258d, 0x105d110b, 0x909a7b55, 0xa9e5a877, 0x8af4e106, 0x0ad31b46, 0x6459ce6c, 0x1ede9ae7,
+    0x6fc50548, 0x1d981316, 0xb5b11f48, 0x4fab0e31, 0xea2fa394, 0x36f226e1, 0x77132d37, 0x5f766d35,
+    0x9282e1e5, 0x45fe64c9, 0xab702698, 0xf8626609, 0xb996c1b0, 0x220b98aa, 0x83608c0e, 0x7391d3c0,
+    0x008a4fa4, 0x8d7d0c05, 0x14474ad3, 0xf32d494b, 0x58e547eb, 0x310abf88, 0x077d09e0, 0xf90529cf,
+    0x6e5847d3, 0x8e3c4866, 0x5c149753, 0x93e72e47, 0x461c34ce, 0xa5923e3b, 0x1a3816b6, 0x4ad430b6,
+    0x497556ee, 0x7cdb3a39, 0x9f638fe5, 0xc61dceb6, 0xd8289f22, 0x168902e8, 0xca088a31, 0x90af2d18,
+    0xfd90053f, 0xfdb368ca, 0xf56f929a, 0x8ded74e8, 0x372a0392, 0xd056f047, 0x94c1c340, 0x98d7e71f,
+    0xfb15ca78, 0x3c9bfbd6, 0x61e5b2bc, 0x111422e7, 0x0c71d83f, 0x3e43b351, 0xe567035b, 0x26d017bb,
+    0x012d076c, 0xa5c94808, 0x986b41b3, 0x35ca3617, 0x370e14ae, 0xd42d00b9, 0xb36db619, 0xafbe41f9,
+    0x21e7fa3e, 0x6f5223dc, 0x70f44724, 0x4fa809ce, 0x28d08dbd, 0x01a06129, 0x5af41a23, 0x1ea7fecc,
+    0x31dde230, 0xd28abb5d, 0xddceb3fb, 0x44a3a36e, 0xe3bb2864, 0xc509c7ff, 0x44ccf36b, 0xcde0f8f4,
+    0x0f8f62ae, 0x346e0687, 0x6513ab3c, 0x95c2ad1e, 0x71cf0d1c, 0x7077a600, 0x9b9a30d2, 0x29ce7cab,
+    0x2220ddd6, 0x3612a779, 0xacdae0cc, 0x32d7d51d, 0x2868cd84, 0x2a8e607f, 0x879bc8be, 0x097f5759,
+    0xaeb2fa19, 0x14bf97c1, 0x39b953ea, 0xccda74f3, 0xa40c5808, 0x176b1e06, 0x9117c69f, 0x0c37597d,
+    0x8af41bb7, 0xd289a32a, 0xad5de59b, 0x3eda69e2, 0x1036ee0b, 0xda0dd337, 0x4afc3503, 0xd9766504,
+    0x23651153, 0x327ebe1c, 0x6f5604dc, 0x52482f7b, 0xdf65abf2, 0x9b80a297, 0xfc8958c4, 0x46e62c03,
+    0x81311e08, 0x46e16a60, 0x179aa12f, 0x1cc969cf, 0x73bb863b, 0x20330875, 0x0148928e, 0x96626d8f,
+    0x9536cf38, 0x729fbffc, 0x6b9ce28d, 0x6d4985ff, 0x890a958e, 0xc41422d7, 0xa4574f80, 0x3baa0b09,
+    0x65e30a3b, 0x7880b472, 0xcaf96deb, 0xe8c38f0f, 0x529165ad, 0xa7b1a894, 0xf048ba62, 0x0af75ba0,
+    0x3916cee8, 0x9b44c536, 0x271a24b4, 0x02055834, 0xe2b0a18f, 0xb44f7478, 0x7a3e5d6f, 0x79e3a9c7,
+    0xfabfb81e, 0x0bb70800, 0xf23f1664, 0xb1d6fe5b, 0x81577cd3, 0x53462722, 0x2efccf45, 0x9f626a91,
+    0x2f350eb4, 0x733b8bb0, 0x657c3267, 0xeac9828e, 0xfbce5db7, 0x90bbf570, 0xba6b97e7, 0x09c94870,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000012554203470773361527671578846415332832204710888928069025792 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f8, 0xdeceb539,
+    0x00000000,
+    0x9b11e28f, 0xb4300636, 0x7809926f, 0xea642444, 0x92b0181f, 0x9fe3122f, 0x764ba647, 0xdaa262b6,
+    0x90f9a072, 0x7dd6225b, 0xf8b95889, 0xdd5d76be, 0xd535798e, 0x22b7fa4d, 0xac1e1f99, 0x49d930e8,
+    0xc904066f, 0xeb04c42c, 0x4f29fc0e, 0x980d3123, 0x25e006d8, 0xe0c4c907, 0x7d903e00, 0x533bbdc1,
+    0x3368c19d, 0x17b77f8d, 0x2a305ccf, 0x68c27b98, 0x37f5973f, 0x38da12a5, 0x36de4fca, 0xe0b7b670,
+    0x6d0766d2, 0x5f27c5d4, 0x536b2c32, 0x5754da88, 0x71f2cfcb, 0x3493f598, 0xd631f809, 0xa450f75f,
+    0x71215298, 0x49701e7a, 0x2e879f55, 0x6eae3170, 0xa5c2f600, 0x0f7465ff, 0xad56f4c5, 0xb79aca66,
+    0xd6dcc30c, 0x2ee669e8, 0x1c1aa995, 0x68eea5bf, 0x7165ab0e, 0xb4aea27a, 0xb5011981, 0x5961b566,
+    0x6b2053f9, 0xb1532bb4, 0x1712f1eb, 0x07052be8, 0x6ca0165e, 0x2ce8af71, 0xedaf5a2d, 0x1ac80fd3,
+    0x7ad69e76, 0x2aa8c5dd, 0x120eb82c, 0xd04e23b1, 0xa226e356, 0x105feeec, 0x5224e83d, 0x9549354e,
+    0xc6826585, 0x0f0a6be2, 0xda1faaec, 0xe2dece7e, 0x3ef8a5fa, 0xa57ab1b9, 0xf1b81033, 0x9dac3a12,
+    0x63d8488f, 0x5a65a1ba, 0x953ebe8f, 0x9b3fffc8, 0xe16f60ee, 0xf33a73b3, 0x23d12805, 0xad4683f1,
+    0x2c7dfbf5, 0x77209f02, 0x40873f0d, 0x0f6e0bb6, 0xedbb35bc, 0xeaab76ba, 0x9ed05c93, 0xc4f6e662,
+    0xe19621b0, 0x3f562bf8, 0x1934ac32, 0x0d0cb10d, 0xcd1f9aef, 0x59fd2d01, 0xbe645c6c, 0x065a6beb,
+    0x36e4c329, 0x2a6afcf2, 0x2f5e8c81, 0x1e549992, 0xc7861805, 0x862ebb99, 0xc4777551, 0xa6c49f04,
+    0x2c180474, 0x0eeb00fc, 0x729d5f18, 0xbc767d1f, 0x1199e982, 0x8105f5eb, 0x12ab53fc, 0xd7fbb665,
+    0x381628f1, 0xa8211b90, 0x2a74adfe, 0xb2bda5c6, 0x806beffe, 0xb6c062ea, 0xe810e6d3, 0x1c3ebbe9,
+    0x7e94c11b, 0x77a0b36f, 0x5c237904, 0xcca8944a, 0xdf94fb5f, 0x6f6f0001, 0x16dc3ea3, 0x45d69eaf,
+    0x00335d88, 0x8e462238, 0xd0fa6db2, 0x227e5a2a, 0x7fda756d, 0x65bf4895, 0x162b0ec5, 0x4d87e550,
+    0x72bba68e, 0x453332c9, 0x11d25579, 0x60045523, 0x9bc208ce, 0x31c7cfcf, 0x1f2f0c89, 0xe599153b,
+    0x13b1eef8, 0x2ab64260, 0x3dc27e6d, 0xc41ee002, 0x323e3946, 0x7a73b6af, 0x6a4e9658, 0x53bea429,
+    0xfa020ab3, 0xabf883d2, 0x196dcbe8, 0x0dffe43e, 0xe39c598a, 0xd373a286, 0xd547b71a, 0xc79803dd,
+    0x63db2569, 0x34f3540b, 0xd1c532f7, 0x8eec458a, 0x706b0dcf, 0xff4a9f96, 0xc3db55c4, 0xdcbb32da,
+    0xdac6a78f, 0x63f54b3e, 0xc1d50f84, 0xcbade580, 0xcd8497c9, 0x3b31cd91, 0x60088333, 0xb2cade74,
+    0xb32da145, 0x0e45bc2f, 0x8f8f8b5a, 0x1845e125, 0x849f81c2, 0x76ebeadb, 0x44461b34, 0xdc899eab,
+    0x6f71dcb0, 0xa1c2dcf4, 0x048a7257, 0x699b2723, 0x19c33b79, 0x5bdd1b31, 0xfed62398, 0x387f8984,
+    0xaed389ec, 0x6736444c, 0x9594bfc3, 0xf34173a2, 0xdcb1f1b9, 0xc2ff4ed0, 0xcdd9ce66, 0xc94dd5f3,
+    0xb9ab64c1, 0xf3f0d88b, 0xaa27f2ff, 0x5a68774e, 0x86b3ed7e, 0xd539b9b3, 0x4f349f36, 0x5ef28dc1,
+    0x7833a00f, 0xd688a2ff, 0x63deda05, 0xc3b042ee, 0xfdffd7c9, 0x46768731, 0x41e321ed, 0x87530289,
+    0xe4775edb, 0x7230bacd, 0xaea0e2d7, 0xf051d11b, 0xbe7c6026, 0x0f80779b, 0x3ff7b68e, 0xf5100de0,
+    0x6de2c9c2, 0x7f0341a4, 0x86bdef30, 0xfb91bb60, 0x848324a3, 0x9ebce98a, 0xf0ea37f9, 0x5bc24646,
+    0x82f4af88, 0x40b237b9, 0x1ad79d8b, 0xfeccbde7, 0x6cc1697f, 0x82d7e4b8, 0xbd336686, 0x00d352e2,
+    0x6e63adbd, 0xb4dd6966, 0xff952148, 0x0f6bb3f4, 0xb1285c56, 0x622eefcd, 0xafef0684, 0xc230dfa1,
+    0x2a47eb65, 0xe4988bbb, 0x72c520e6, 0xd6f655ae, 0xc6b50254, 0xd3ed3fed, 0xfeb98002, 0x0119fd88,
+    0xcf1bef5a, 0x283edaca, 0xceebdce1, 0xcf305ee1, 0xc357e5d2, 0xf45e14fe, 0x74acdefb, 0xa9134954,
+    0xefa0d6bd, 0xf87c28a0, 0xa78aeb91, 0xfd7730cc, 0x15c8a2ff, 0x19235f32, 0x58f883a2, 0x360c5945,
+    0x0120ad07, 0xf132eb49, 0xf72efc24, 0xdd178a29, 0xe1233e3a, 0x5a1d756b, 0x4a1acb55, 0x6086f10f,
+    0x7d8f5eab, 0x83cf5f0b, 0xcbc7a16e, 0x544c06c7, 0xd916be0b, 0xf43016de, 0x3bbc11e9, 0x2d150a44,
+    0xa6d83141, 0x7142ce6c, 0x55e45821, 0x956a4e9f, 0x6cf6d13c, 0x673b6639, 0x9506bdc9, 0x78c20093,
+    0x8f0cf784, 0xb8499a69, 0xd331be11, 0x40e039ef, 0x325c8bcb, 0xbc5d0bd1, 0x72d08679, 0x57376f69,
+    0x36995e8a, 0x88caa9fd, 0x589a833f, 0xfc6a9dd8, 0x7a1a9b89, 0xebd06ccd, 0x8a58220b, 0x7ee218a7,
+    0xb97c4eb8, 0x379d627a, 0x86d78721, 0x1246835e, 0xadee4e51, 0x6a4ba76f, 0x3e59d742, 0x875b73c7,
+    0xbcbe7e3f, 0xceece4a4, 0xab0a9820, 0x009788ee, 0xb6af3353, 0x0d85cde1, 0x537d45a9, 0x8e63af07,
+    0xa2d4dd93, 0xd845facd, 0x9d926114, 0x0fbd5a25, 0x318fe3a5, 0x65a985e4, 0x99955c71, 0xabea5897,
+    0xadc5c077, 0x7ee3312c, 0xefa707ab, 0xfd4c0e3f, 0x2ea0f205, 0x59ab0213, 0x0bd2c084, 0xc1f84520,
+    0xabb680c2, 0x31f489a9, 0x034eebb7, 0xf141d077, 0x086b8218, 0x3d954abb, 0x96d85f3e, 0xbdabbdb0,
+    0x1bb85fb2, 0xbc0e4363, 0x15267ee0, 0x00a09b58, 0x6fe6d380, 0xe9d64830, 0xc44b9fc9, 0xf1f61ac0,
+    0x50ecdaa8, 0xfa364fa4, 0xb1a78a9b, 0xdc0e9777, 0x0499b222, 0x5a2baccb, 0x6a81e7e9, 0x1921251e,
+    0x6bef973c, 0xf793fbd4, 0x7252e612, 0xf19e31f2, 0x6705a191, 0x7403442d, 0x646f2cf3, 0x544c33df,
+    0x136d9d26, 0x0994fe00, 0x5e76ebb9, 0xa5b31191, 0x67944c24, 0x60167f31, 0xca5037e7, 0xe64200ef,
+    0x95f7bdf1, 0x8aaab541, 0x3f5b91e1, 0xecaa3382, 0xb32e584a, 0xd2a7896b, 0xee47966d, 0x4c0e3b10,
+    0xe1c5026d, 0xa755bde6, 0xad352423, 0x0f166db7, 0x3cbdc10c, 0x1d7e630b, 0xc8dcbb3d, 0x37938c1b,
+    0xef10d522, 0x88d32330, 0x77034141, 0xc57f2221, 0x5af2b8af, 0x2b4883a3, 0x5eff9873, 0xd25f5139,
+    0x0396bea7, 0x68d4ad1a, 0x9147ea10, 0xc00c40e2, 0xd73b1cc1, 0x6ba379af, 0x79ab7819, 0x1f085560,
+    0x83889988, 0x07e0ebec, 0xda92ae79, 0xa796fab3, 0x02b24dca, 0x5f73522c, 0x232c97eb, 0x9e3b1d1f,
+    0x582522a9, 0xa63076b0, 0xc2e98431, 0xb2eef588, 0x01324b9c, 0x927cf4a2, 0xe8ccf197, 0xb723893f,
+    0x0bdc29ef, 0x6c8b7743, 0x1948f7a1, 0xfcac0aca, 0xf32dc971, 0x8c66cc30, 0xcd700ded, 0x498b47c3,
+    0x2cc559ab, 0x55f52cbc, 0xaebf0779, 0xde9d2edd, 0x5a6451d1, 0x2f56aa80, 0x08b74305, 0x514b5deb,
+    0x974e42e6, 0x9b3da669, 0x9c618669, 0x92ecb9a1, 0xeac0159e, 0x8a8907a1, 0xac04026a, 0xfab47de5,
+    0xb106cd43, 0x9f43fe5c, 0xf643bbd0, 0x784a62e7, 0xd7c6eb95, 0xbab2c192, 0x27a21020, 0x108c6f86,
+    0x82b7d002, 0x05789ed5, 0x55c2e7e1, 0x4d74f759, 0xf1710658, 0x9f3d8a7c, 0xac0c4c40, 0xf073a7f3,
+    0x9e15305b, 0xcf166371, 0x0024419c, 0x720ddcd1, 0x9663496b, 0x6918d22d, 0x588fc55d, 0x0b127112,
+    0x938adaec, 0x820f77b3, 0xa482d85d, 0xd51271f4, 0xc5351ef0, 0xa474f339, 0x445ada3c, 0x6d834553,
+    0xa5f87de1, 0xf7dd0f27, 0x1ba1321e, 0xe57c8193, 0x2a2e3a4e, 0xb5ca4f0c, 0xe56d9a9e, 0x67d9dbd9,
+    0xbff4a46d, 0xe3b6b3b3, 0x1833453e, 0x01f28ec5, 0xdb7a48f1, 0x8f9ab46d, 0x449f107a, 0x1b1beb06,
+    0xa3aee3b9, 0x0f9a66fa, 0xd8c1ac4e, 0x4b26c98c, 0xd83f7985, 0xe8455765, 0x54cc8595, 0x9db36163,
+    0x743daf01, 0x73abe0ff, 0xc52c9bca, 0x9ee4402b, 0x48353559, 0x4b1a6766, 0xbb412e90, 0xdcc41a7b,
+    0x3f85c837, 0xaa977ef6, 0xdfbbb0a5, 0x36283087, 0x2a0b6e81, 0x7d0f5334, 0x7845fd90, 0x37faa175,
+    0x302f4642, 0x9d197270, 0xefc929a9, 0xfbac56b6, 0x2f750fe1, 0x37a4fb64, 0xa1c9a2d1, 0x743c9f6f,
+    0x05da2a11, 0x9908ab97, 0xd4eea5d0, 0x08f73c2d, 0x5e53b189, 0x012af4b4, 0x36647fa6, 0x300869f1,
+    0xd753b3de, 0xf479d0d9, 0x51160dab, 0xf48254fd, 0x4013c6ee, 0x4bea68e5, 0x2954205c, 0x86bf5a58,
+    0x5fef417d, 0x4a609785, 0x7bc8790b, 0x00eed1f1, 0xe7e3c3b2, 0x8f4c22fd, 0xa2553145, 0x527bbee9,
+    0xdc6b5aae, 0x3789d3a9, 0x0a44c5ec, 0x87510582, 0x246e9d0a, 0xb9c4646b, 0x1885e7dd, 0x1c445c59,
+    0x2699a951, 0x853d6584, 0x20989057, 0xef8fe78f, 0xaf42db66, 0x58046add, 0xa653e476, 0x0ce92ad5,
+    0xd3142f1c, 0xb7b27df7, 0xc109709a, 0x67b26d19, 0xfce8095f, 0xb4db6985, 0xa67bfb05, 0x1ba3b811,
+    0x8640e579, 0x466df9b9, 0x407258ce, 0x6119ad8b, 0x8d986642, 0x14d23373, 0xafd7a01d, 0x9061d6e3,
+    0xd42ed5cd, 0xf30a6486, 0xf3948d4f, 0x2b36fd28, 0x60947fe6, 0x42d27b4c, 0x6ba64a51, 0xb14dad63,
+    0x6959c3d2, 0x4a7394e8, 0x94b8c213, 0x26fa6922, 0xc58acfc3, 0x8ea4656c, 0xadfff54e, 0x00320905,
+    0x3a3a9ac2, 0xd13e17da, 0xa2be3ad5, 0x6e7e0718, 0x399894d7, 0xe07b7aec, 0xc34d8acf, 0x8f9583d8,
+    0xd97125bf, 0xf3281df9, 0xaeee97a4, 0xbd6331de, 0x2e12cca3, 0x9a9197f1, 0x365dd7a9, 0x91b306c7,
+    0xef1a2c3c, 0x1d2df94e, 0x4255d37d, 0xb7152912, 0xd85a5a1d, 0xbbfac453, 0x8370b1db, 0x4281aba8,
+    0x51a1aae6, 0x1a298730, 0xa9b348ee, 0x38574829, 0x0265b1b9, 0xdfc10257, 0xcab68e0a, 0x23281fe0,
+    0x0e8978e1, 0xbb19ac4c, 0x7f7612f7, 0x29331e70, 0x6f17a873, 0x1483d2d3, 0xd297b04f, 0x44442f78,
+    0xea413416, 0x3e35178d, 0xc269e94c, 0xa8604f66, 0x6675a9bb, 0x5a5eb23e, 0x9b4f28d3, 0xaec33a74,
+    0x9bcebcd5, 0xb4e5855a, 0x644bf1c3, 0xb39cd824, 0xae7e30ea, 0x8f20eccf, 0x1288fd55, 0x5b5848cb,
+    0xcb515b49, 0x40207374, 0x88e2163a, 0x55617cc8, 0x68dc05c2, 0x9ba2fabe, 0xf2bea6b6, 0xb25838d1,
+    0xdd130f3d, 0x06e346de, 0xbe1a3591, 0x30027a4e, 0xe6163f81, 0xf9caf6de, 0x0089cc54, 0xa34fd815,
+    0x74cc81fc, 0x334dc69d, 0xb8882e9a, 0xbfaf4218, 0x13fe8048, 0x606a1bf1, 0xf45455c5, 0xc77cd1c6,
+    0xe51cb409, 0x30208cbb, 0x94f01175, 0xaa32846e, 0x956e4cbe, 0xcb8016bb, 0x8211d90a, 0x3d25d7c0,
+    0x57191103, 0xf49e3ffd, 0xb285ed94, 0x78d28c78, 0x6cdf6fc2, 0x8e9f1b6f, 0xadbe4a65, 0x7d7cefac,
+    0xbf3558b7, 0x4722c593, 0xdf1c89d9, 0x3366e707, 0xe258deeb, 0xe37becdf, 0x971c89cf, 0xef2e3be1,
+    0x6990aed4, 0xb7a2f82b, 0xa67f69f6, 0x4ec80864, 0xc70fe7bf, 0x16d9203f, 0xbe5344fc, 0x95b32aa7,
+    0x0464c521, 0xa6c188ad, 0xd3c32600, 0xa9415f6d, 0x7b068b97, 0xa2aef710, 0xe9850be4, 0xf5ddf645,
+    0xd384275a, 0x8f65e641, 0x3c9d2b61, 0xe914271d, 0x0c132577, 0xccd510ed, 0x65eacfbd, 0x924790f0,
+    0x574007a4, 0x2ad11719, 0xb50d151b, 0xce422fe6, 0x0c18239d, 0xca79168a, 0x2ac7673d, 0x80841193,
+    0x16e8c44e, 0xbfa0eb04, 0xc4dff6f4, 0x75ff2824, 0x19dc453b, 0x36f591cb, 0x120209e6, 0x1879670e,
+    0x178b23a4, 0x24ccff96, 0xcfb19f1e, 0x80ef7894, 0x60a98e8e, 0xbc343c77, 0x052aec20, 0x4dbb75ad,
+    0x4c02c692, 0x2ddfc24e, 0x82d6bcc1, 0x2ec302f0, 0xf367d88b, 0x920f3540, 0x195a98e2, 0xc92b930b,
+    0x9ea4a69a, 0xb181c64d, 0x03986419, 0x62dbbc45, 0xb240718e, 0x0268a975, 0x2de05603, 0xf90f1d2d,
+    0x51814c36, 0xd7f3d314, 0x2fb32ae9, 0x0499c31e, 0xb9c15626, 0x9f23b5f3, 0x0efb68f6, 0x9d789b25,
+    0x3f47d257, 0xd383a26d, 0xa874a969, 0x3ddee9a5, 0xcb2798d4, 0xb961d48f, 0x3d1621b4, 0x5f722c7d,
+    0x092c6629, 0xb57c00bd, 0xb2cfbce1, 0x052c77e6, 0xc203a71a, 0x7326dfde, 0x24b75add, 0x9d6bdf3e,
+    0x8567e9c9, 0xdfeec298, 0xaf84bc38, 0x01e24bc0, 0xe795bb3a, 0x004a93f7, 0x82f77647, 0xdc19bb80,
+    0xbfd5c0e6, 0xe5e75349, 0x4c49f663, 0x87568f2e, 0xe92dd4c9, 0xdf793735, 0x397d9fbd, 0xf7f462e5,
+    0xc4bd511a, 0x807c0ffb, 0x2a500281, 0x94459579, 0x720208c6, 0xb245edc0, 0xc1bdf52d, 0x7b27b6e7,
+    0xaca0712a, 0x26f96bed, 0x7082d6c3, 0x074f54c8, 0x62617273, 0xb008455b, 0xf96b4162, 0x987376f4,
+    0xa013d21c, 0x16903ad6, 0x1de3aa86, 0xc8a484e6, 0xd457922d, 0x23114304, 0xb49fee27, 0x3a171a0a,
+    0xb96ab7b1, 0x4aa91b15, 0x06127801, 0x4bca9903, 0xd3b233cb, 0xcdde36c9, 0x8726db54, 0xcfaff34c,
+    0xaa56a4e7, 0x6300a00d, 0xc43b83d7, 0xa89305ef, 0x464b8695, 0x41d1061b, 0x143406a1, 0xef5cd207,
+    0x7921c1df, 0x9f00d210, 0x4d2b8a95, 0x541dad68, 0xbe637beb, 0x768b0794, 0x5b2c4b5f, 0x62288db0,
+    0x67d4b330, 0xa1f0672d, 0xd32ce801, 0xf5a4e546, 0x703493c6, 0x2c60770d, 0xf180acdd, 0x527f9f75,
+    0x10a5e86d, 0x35556073, 0xee7dd38f, 0x9271213c, 0xb017074e, 0xdc69ccbd, 0x3c3c970b, 0x13b6e712,
+    0xd514d799, 0xce1dcb7f, 0x4968aab7, 0x606bfadc, 0x932ea57b, 0x4b9f0448, 0x8cdefa16, 0xd5fd6954,
+    0x3f9804d5, 0xf26581a9, 0x5872a759, 0x12833ff2, 0xc27c9874, 0x1d066946, 0x301dd621, 0xda1d10c6,
+    0x5a2eb2b2, 0x77a46110, 0x3306704e, 0x73461177, 0xfe9e11fe, 0x3b043bf7, 0x73d96a1c, 0x141f8713,
+    0xacd20716, 0xb589fd03, 0x42ecfc2d, 0xee8556aa, 0x82f07f70, 0x7a9aab74, 0x6412ef21, 0x64601e14,
+    0x78d94873, 0x4febf352, 0xe719be21, 0x5b8960d4, 0x502d61f4, 0x070e9adf, 0x3c5f439c, 0x39a51a7c,
+    0xc4cc9de9, 0x7fa9de18, 0xb1cd8619, 0xef56f085, 0xcd3cd7e3, 0x96b1b06d, 0xfeffbb55, 0x6141ff88,
+    0x2262923c, 0xa887990e, 0x9ffed671, 0x30ac01ec, 0xfc06d7e3, 0x6b3095a3, 0x3eef1a50, 0xcc8e07ff,
+    0xbcf2fbe6, 0xc225a895, 0xad9d3498, 0xe36e0c81, 0xf0ec392b, 0xb8536e30, 0x6dfe7b9e, 0xeff67872,
+    0x93779c2b, 0x6775ed8d, 0xbd40cfc2, 0x89e6a27b, 0xab17e5bc, 0xeae43659, 0x37dd1b5f, 0x8de5411f,
+    0xb01c062c, 0x78ab5b0b, 0x19e3945e, 0xcb3ba5a1, 0xc7783af7, 0x3b0caf41, 0x52416b55, 0x8d0a41c6,
+    0x082b794a, 0x10f4db94, 0x90cd33c1, 0x513dca26, 0xb274548d, 0xdc7fbe3e, 0x8ca4f668, 0xc0a61aa9,
+    0x253ff1f2, 0xd40b9b2a, 0x0bb0bd95, 0xa112e085, 0xadea3291, 0x0321ce40, 0x23868362, 0x4f864aab,
+    0x13c40ad7, 0xa0812071, 0x16bc8970, 0xa4f4445c, 0x796012cb, 0xce1e1ae7, 0xdcc83632, 0x5e5b67df,
+    0xbda6c85e, 0x89eeecda, 0x336f6b3e, 0xf339a52f, 0x87a70ae6, 0x644ddb3b, 0x4763838c, 0x3ee8d1fb,
+    0x9549ce6d, 0x5e417c56, 0x8d9c4cd8, 0x680c8ed6, 0xda0dec52, 0x321929d2, 0xbe43cd60, 0x4c164a7a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000006277101735386680763835789423207666416102355444464034512896 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfc, 0x6f675a9c,
+    0x00000000,
+    0x8ce2e2ec, 0x41a67f41, 0x57e7de62, 0x2cdb4de1, 0xa321970f, 0xc41f79df, 0xace48100, 0xfaea1248,
+    0xf8d47bdf, 0x932a13a9, 0x58c4421c, 0xf6b692ca, 0xe3c5aa3c, 0x6f59297e, 0x68736bd9, 0x48ccc08f,
+    0x7b081deb, 0x1e9b28b6, 0xa6c518ba, 0x55750903, 0xcccc2261, 0xd22e20ae, 0xe768086d, 0x1fc57d57,
+    0x8bea6ae3, 0xaa1ef807, 0x8d1f0408, 0x44ae7828, 0x433c0a1b, 0x4f17089b, 0x72cb6dea, 0x4e928fee,
+    0x07d69076, 0xe47e7112, 0x715e5604, 0x9422cb41, 0xd6660218, 0xbfc69389, 0xc835dc05, 0xb5522386,
+    0x4174afa0, 0xd71fbd90, 0xf14e534c, 0x8f37102b, 0x6041b92a, 0x303184fa, 0xa98e1eb2, 0x8ed7c47d,
+    0x9c83ecc5, 0xfb250b5c, 0x46699261, 0xfc95280a, 0x0e8881b3, 0xbc45f9d3, 0x828ff070, 0x8569497d,
+    0xfe68bd6e, 0xc0647ae0, 0x6d5a0840, 0xb39793fd, 0xea1645e7, 0xaaf58c71, 0x959732ad, 0x6c303e37,
+    0xce21c801, 0xba59dbf8, 0xde82caa7, 0xb20a06fd, 0x95247bdd, 0x1331a6cc, 0xb0f6e99a, 0xd8946a91,
+    0xa4774919, 0xbb4f6b0c, 0x3ac48635, 0xa06199c7, 0x2fd91a65, 0xf088c9d7, 0xdc91253c, 0x329d5057,
+    0x8b04e61e, 0x209b69f8, 0x9a0e1751, 0x7f362db0, 0x9279ac12, 0xb9879698, 0xfa94b0e4, 0x2efec328,
+    0x516a8681, 0x7e7b5667, 0x1f1e87e3, 0xf938dff7, 0xe29a7f08, 0xd53fa39f, 0x5c46ba75, 0xb0157b0a,
+    0xdcc019c3, 0xb2ec763c, 0x14fe3c00, 0xed764e1f, 0x42040a7c, 0xbe11e5f4, 0xad7830ce, 0x1d35d4df,
+    0xf754750c, 0xb7bffecc, 0xa32f9a55, 0x7300cbcc, 0x86131e0d, 0xd02028ac, 0x2bb96715, 0xdd108671,
+    0x1fd09f53, 0xcbe8a99a, 0x27eed205, 0xa18441b4, 0x06912c69, 0x15a33cf6, 0xb90476f3, 0x4887c5f7,
+    0x5e58b64b, 0xd9a7e25b, 0x58d8e865, 0x71d55d45, 0xca931eca, 0x7e13d383, 0x4f027137, 0x2dfa27e1,
+    0x0645fce0, 0x39e9aa6c, 0x14e19f5b, 0xb9d670a8, 0xa5ab01b8, 0xa8eec6cf, 0xbc6230eb, 0x3ef8e6fd,
+    0x61d7e2b8, 0xdd22c215, 0xb9a977ae, 0x87d964ee, 0x52c53a72, 0x5782f621, 0x2a51926b, 0xd8ae3cd2,
+    0xc88901c1, 0xdd41c609, 0x8ffd5241, 0x8d4441fd, 0xf8f4a3da, 0x90a5b24c, 0x7c08de15, 0xd6cbf572,
+    0x4bd66e8a, 0x0408f65a, 0x1391152e, 0xef9bb3a2, 0xd63e2932, 0x24f4cc84, 0xcc4de969, 0xdda101bf,
+    0x09b5728d, 0xec8976b2, 0x7e508418, 0xfd989074, 0xdf014a86, 0x9bde7217, 0xed5bdf1c, 0xa99619ff,
+    0x541229f7, 0x7e63d0e0, 0x046be441, 0x2c72b9ae, 0x61a2e704, 0x00a42c63, 0xc3ab6811, 0x7b5e9ac9,
+    0x8a71d111, 0x559b5a01, 0x88c2f46c, 0xee062c57, 0xfed458ea, 0x6e08f025, 0xae69c758, 0x921834fa,
+    0xaf579661, 0x70c9dd16, 0xc38643d1, 0x6d588775, 0x4efb8183, 0xe3b6f3f0, 0xabce5088, 0x16615c91,
+    0x8f124bdc, 0x3f7b8663, 0xc8f44b82, 0x2907c801, 0x93c6ceaa, 0x94c40899, 0x41afa80d, 0x90b58200,
+    0xbf869c61, 0x6f9c6654, 0x3f599806, 0xc5d14d70, 0x7e774472, 0xb72c9f8d, 0x055e8b92, 0xfe66585d,
+    0x54832be3, 0x4eeffb8e, 0x7d43a54d, 0xb1eddfd0, 0x7737cea6, 0x9436236c, 0x9a501528, 0xef015ee8,
+    0xa42b4874, 0x235fba39, 0x4e6801f1, 0x10d23ff6, 0x1036dd40, 0x9bf2b919, 0x5ae8ab32, 0xd8724574,
+    0x47077298, 0x6c17d1ea, 0xea737738, 0xc2065db9, 0x7896b345, 0xd880dc79, 0xd56918ed, 0x427d1d8c,
+    0xe605a4bd, 0xa8f7c3df, 0xdb7fcb41, 0xeb5b9d6c, 0xd9db908c, 0x66d215fb, 0x68b81ad5, 0xb01157ab,
+    0xeb87b2f6, 0x342aae5d, 0x10dad16b, 0x7fcc2a05, 0x6ce13245, 0x2c787385, 0x2e964ebf, 0x63c4ea2d,
+    0x608c0e4b, 0xae42129b, 0x7702c330, 0x0b794aec, 0xa86e65f4, 0xacaf0c2d, 0x8e11acca, 0x28641f23,
+    0xae81587a, 0x9ab3489f, 0x461e262f, 0x76bcc73a, 0x24ff1b69, 0x6219c105, 0xdabb7e70, 0x8665b0a9,
+    0x814e672e, 0x3b78bc15, 0x7bf09339, 0x5fa46c13, 0xb6bfff84, 0xc8d75cb4, 0xe150ce60, 0xf8d36b78,
+    0x669e8f13, 0xafc30884, 0x80dbccc0, 0x4f19edf3, 0x0d702416, 0x9fd184a3, 0xd5dde751, 0x5d31cf5c,
+    0xe25f31aa, 0xcb5008b7, 0x3eb9f793, 0xdedaf32e, 0xd7d9651c, 0x9bf8e15b, 0x8195246f, 0x7c1073f7,
+    0x6ee9f96f, 0x8d85dfc3, 0x651b3245, 0xe60c798e, 0xb7306494, 0x8bd8cdfc, 0xcb42cc49, 0x0d0adc04,
+    0x3c90e6f4, 0xb6272b99, 0xccdc0d31, 0x9b483cca, 0x246df2ee, 0x9078300f, 0x794e580d, 0x0bf3550a,
+    0xfb4539de, 0x6a9b7cd3, 0x76b39411, 0xec3dcf9b, 0x235cd872, 0xff58142d, 0x18cecb08, 0x658def95,
+    0x79eaf284, 0xa84083d1, 0x2e9ac8f4, 0x2e3272b1, 0x5376899c, 0xf8c35a8b, 0x01cb3900, 0xdb2098f8,
+    0xf35738bb, 0x6456ca50, 0x81377490, 0xd003fb03, 0xd610586f, 0x78fd592b, 0xf5e29478, 0x6c6dbc8e,
+    0x1c79e40c, 0x9a102e65, 0x40b4e26e, 0x78b8b7aa, 0x822f9a6c, 0x8b22c0d9, 0x2637379c, 0x0eb25e71,
+    0xfb3bfbdf, 0xba369dc0, 0x7e76623d, 0xf161135e, 0x3f98dcbe, 0x787c1c1d, 0x2528fc4f, 0xbb06801a,
+    0xa91ac459, 0x2b395d52, 0x65451f2e, 0x28be30ef, 0x269597e7, 0xb4967989, 0xc1fbd0c4, 0x78e5e6c6,
+    0xe6d1a045, 0x2d59db2a, 0xe642d78c, 0x527f86df, 0x95928527, 0xa1e42f4c, 0xe7ca260e, 0xdb841dc8,
+    0x078b4221, 0xbdf00faa, 0xbd6accb9, 0x82cb1d0a, 0x79e2ca50, 0xf7b0af6d, 0xe1fa71a3, 0xd8f04611,
+    0x42161037, 0xe9ae8137, 0xb6369005, 0x9f1027d2, 0xf8e2b107, 0xe49090b1, 0x169f7bf0, 0xa4f06628,
+    0xaaf5c759, 0xd8eb2e11, 0x2f9f693e, 0x84992a19, 0x40104755, 0x38f35f3c, 0x4fe32fac, 0x54cec4d5,
+    0xf2c33c14, 0x38a83092, 0x9425e4b4, 0xe28a8a35, 0x4021aadf, 0xb2d6b00a, 0xb36bc5fc, 0xbb995ad6,
+    0x226388eb, 0x9f0a0f09, 0xe73342c5, 0xa9ad285f, 0x1d1c4c46, 0x4590f5c1, 0x8a2e9bdb, 0x3601218b,
+    0x8d4d566e, 0x4a8bd07f, 0x970d2034, 0xf5905b93, 0xfba43793, 0xea28733e, 0xef021620, 0x7401268b,
+    0x92502dba, 0x3737957b, 0x9b7652fd, 0x3e3903c1, 0xaab7dc5e, 0x466caada, 0x7e91d193, 0x4190c630,
+    0x3ad4a8db, 0x341758ae, 0xf5816b72, 0xd60d7aae, 0x3ca8609d, 0xefb61c7e, 0x201b1e86, 0x6039c84f,
+    0x9b8a6e09, 0x066adb2a, 0xd2227819, 0x768508d3, 0xbb985a16, 0x6ae321b4, 0x5a9ffc27, 0x3ef12a8f,
+    0x522d240a, 0xdbb0e7e5, 0xa28c54a9, 0x51df2bd5, 0x3b3fd24c, 0x9bfec85b, 0xe4c88045, 0x5069106e,
+    0x438cf262, 0x696c2104, 0x690c1c8d, 0x7517a1be, 0x28dcec18, 0xffe582f7, 0xc0c8f757, 0x1ff89964,
+    0xa7d83d67, 0x25f26911, 0x20a8a43e, 0xcedfb855, 0xf7b0b6cc, 0x5efd5034, 0xa3d94888, 0xa7cd13cc,
+    0x904f21b8, 0xdaf57613, 0xa24cd967, 0x2c6d631d, 0x13a61c40, 0x5a8fed39, 0xf513daa9, 0xba623810,
+    0x0e71fb29, 0xe8c71294, 0xb2005a85, 0x7670c116, 0x9265c482, 0x7eb802e4, 0x3bf56044, 0x75043855,
+    0x813fce0a, 0x22f8ef50, 0x41e82e34, 0x6b666bb0, 0xa2cc2be0, 0x2de73191, 0x4a44378b, 0xacc4b72d,
+    0x15c45eab, 0x5b064eef, 0x50fb5ee6, 0xc69670df, 0x12fdc915, 0x2278b518, 0xdd6810d9, 0x6f4c5e9f,
+    0xede0dc64, 0x853e096c, 0xb9770835, 0xcedf597c, 0xa5cd0738, 0x27a2599f, 0x039399e2, 0xcdcb54d0,
+    0x3a0598c7, 0xfc0f2222, 0x6ccd58c6, 0xbd2cb67b, 0xe77451cc, 0xde58072d, 0xd3c19cda, 0x8f9e7c96,
+    0x1d1c47cc, 0x31b54a34, 0xafd17555, 0xa3a5b8a7, 0xe88dafcd, 0x120a2203, 0x730b592d, 0x1e9a4460,
+    0x91f84881, 0xa4a2cce2, 0xb0591099, 0x34cd3b54, 0x724be6b6, 0x0e2d51e5, 0x7aa32967, 0xd7f7a9b2,
+    0x2ca102c8, 0xad8da3f4, 0xa7370779, 0xd30bee26, 0x3d55889c, 0xc5a6bab4, 0x32557138, 0xcda2444f,
+    0x8d2505ad, 0x1fd8929f, 0x77de06a4, 0x8016ee61, 0xa58e40db, 0xe1f4734f, 0x3654a7e2, 0xd33b3412,
+    0x4c3bd5aa, 0xd49bdee2, 0x6b0948f1, 0xe495b1e1, 0x6bcac1f3, 0xdffb94e5, 0xc9017a73, 0xd62459b6,
+    0x783d481c, 0x20a5f329, 0x4bd2fe29, 0x849ba76c, 0xf2eb4d2f, 0x4c682e6f, 0x99c5cee2, 0xbb8b18b2,
+    0x76793576, 0x2148ebb1, 0xde842b09, 0x1231e2ef, 0x8be571db, 0xf748e58b, 0xe7e87d1b, 0x757abcb1,
+    0xaaf7cc79, 0xe84bef3b, 0x9c25d588, 0x50352f9d, 0xb143f958, 0x3a84ba98, 0xb7d66ff7, 0xfdf1bff7,
+    0x41f56785, 0x037e4b88, 0xf935ec78, 0x57e9aa7b, 0x8d4699f2, 0x6c08bac1, 0x9275f416, 0x380dcea5,
+    0x37c1bd5f, 0x97e734f7, 0x6e6b8938, 0x29e149db, 0x407d05e8, 0xdff921c2, 0xe7c9b344, 0x0fe41953,
+    0x5300feb9, 0xe11293dd, 0x5c9673e3, 0x4b6d1569, 0xbdedee78, 0x181a228e, 0x99931599, 0x34545246,
+    0xab6047d3, 0xe2eae27c, 0xf9c4066d, 0x7f27dba1, 0x86f0aa71, 0x6424f2c4, 0x9907bac8, 0x5676bed2,
+    0xad9e6aad, 0xcd3be570, 0xfd764e36, 0x564c3974, 0x3860ed9e, 0x7b89a871, 0xc38d45bc, 0x36e70007,
+    0x5a698b39, 0xced5ffb2, 0x386ed8c5, 0x2e855b86, 0x0507564d, 0x33b5b4b8, 0xdd4345d8, 0x15b963fb,
+    0x7657cb1e, 0x62277acc, 0xecb83341, 0xd77c3552, 0x4ec6c979, 0xfcbdf5f7, 0x7aa2ed06, 0x830346db,
+    0x551542f5, 0xe75c90a9, 0xbd41d991, 0x70024e31, 0x21c605a2, 0x4017481d, 0x0a97f1bc, 0x6fb95770,
+    0x0f01debb, 0xbc4ddfe0, 0x6ee3acd6, 0x42d65adb, 0x5f0d4321, 0x5b60fda5, 0x2b1966ae, 0xa7c37a8f,
+    0xd0dd29fc, 0x73aa2484, 0xe055a9d1, 0x8d3aa3ff, 0xac07c3c2, 0xb546f5e2, 0x36497576, 0x242f762f,
+    0xcf7639a1, 0xd6040dec, 0xf5049408, 0x523a55ae, 0x906c74b4, 0x231d9f3a, 0x7c2be5b1, 0x7f7be3c3,
+    0xbe572f85, 0x24de50fe, 0xcf8d466d, 0xcdab13ac, 0x5e77dae7, 0xdeaf6cc8, 0x3efb551d, 0x29ee9b95,
+    0x9081a5e2, 0xb9a3f015, 0x416243d2, 0xc74fc05f, 0x5499d885, 0x5bf9f4c1, 0x6f0f952b, 0xbfa4b2ce,
+    0xa2e0c4b9, 0xc52b8f0c, 0x5408ea98, 0xad3c6ad4, 0x225e6118, 0xf54a37d6, 0x0751ef66, 0xf1dfb62d,
+    0xb69d6861, 0x024396d7, 0xacb218da, 0x7195673d, 0x68fc6df1, 0xdc1f2d9c, 0x7223a837, 0xecc9b483,
+    0x5309ffac, 0x6f26dc92, 0xd82403fd, 0x2cb9ef1e, 0x4c1282f0, 0x1302b032, 0x52b87f69, 0xe486a71f,
+    0x931797ac, 0x8ee7cdb1, 0x31c916ff, 0xca696e4e, 0x74fa414c, 0xbf177760, 0x11b17d5a, 0x0d769ee9,
+    0xa92bbef2, 0xd3ef2039, 0x317ff26f, 0xe16a4219, 0x1ba251a8, 0x7401ac1d, 0xc1fc8aee, 0xf2320f2e,
+    0x9963f157, 0x1c4c5abb, 0x1d486c21, 0x74a62a12, 0x1b3c6f07, 0x68d23075, 0xe194b607, 0x90e04e9f,
+    0xe29c9ab7, 0x6798ea6c, 0xb13213b2, 0x1049c96e, 0x72b3ab0c, 0xa1600730, 0xea0719be, 0x8d25fae8,
+    0x7b868fa6, 0x39676fcd, 0x07c3ae8e, 0x88bf32ad, 0x0b435944, 0xb8f0517c, 0x00485a42, 0xfc6dd0a7,
+    0xd228ba31, 0x83ea2b4c, 0x14896dbb, 0x1fb3aec4, 0xc256ed07, 0x37da0be6, 0xb162bb61, 0xa783d158,
+    0x0b653e28, 0x2ccb48a3, 0x94c6ca03, 0xd76b2992, 0x1fe88120, 0xe80b5286, 0x815bd28a, 0x64aa07e6,
+    0xbd486ed5, 0xd38a55f9, 0x833cf8d4, 0x1790ef98, 0xa5aa265c, 0x67e45e97, 0xb49b5a12, 0xe731f6fb,
+    0x4cb87413, 0xf86d6eb1, 0x4dcebc14, 0xf951c855, 0xfc8a9430, 0x78a361db, 0x2fa0e26d, 0x6a2fbcbd,
+    0x282dc55e, 0x5f492dac, 0xd92ade2e, 0x4ed289b9, 0x4a2a64c2, 0xff4c9d12, 0xc391d719, 0x701a4a4d,
+    0xc2827a0c, 0x120916a9, 0x9ba64426, 0xb86daece, 0x84311579, 0xe9ec7af0, 0x98b4c16f, 0x9ea9ad02,
+    0x0d5a9678, 0x2ead957c, 0xfc5110fb, 0x7328623f, 0xe4835b6f, 0x52bfbb02, 0x5b738a1e, 0x68fcd5c8,
+    0x7556437c, 0xc1193d59, 0x7968efd8, 0xe0f55054, 0xe4ad7934, 0x835bd026, 0xe87bfd71, 0x199f9c48,
+    0x947a9810, 0x743c157f, 0xba2ec902, 0x078a1bd7, 0x4bb916ca, 0x99ec3692, 0x06094ac6, 0x232babc4,
+    0xf375d12b, 0xd2dfda71, 0xa72da7ef, 0x578c38dc, 0xfb6abc13, 0x4d2b9345, 0x738ce6ea, 0x385ed2a0,
+    0xabd21df1, 0x07f82400, 0x51371246, 0xa6d452b0, 0xfd064cdf, 0xa4309e13, 0x636ff7d2, 0xb1b0236b,
+    0x3b6bd8c9, 0xc94d1800, 0x61e52e9d, 0x4586a830, 0x74a86a6d, 0x21fcce0b, 0x5b3b1385, 0x3ca67284,
+    0x5dce793b, 0xf170e04c, 0x7f2bacd2, 0xcb2c468e, 0x08e030d6, 0xba361b69, 0x88af6526, 0x1aba1a3c,
+    0x83b6e2e2, 0xd270c64e, 0xf46089ba, 0xcabaf5df, 0x8310bf42, 0x77da0891, 0x25e2fe56, 0x88986e54,
+    0x764f6e2d, 0x23761cb6, 0x23224fb4, 0xf413a6f5, 0xc6f30ab3, 0xeff78ddb, 0x477a58ac, 0x9da3fe2b,
+    0x4fc3a5f6, 0x0467083c, 0xb3810868, 0x65fcbec6, 0x88b732df, 0x56022149, 0x3530003a, 0xe3f19346,
+    0x252b1bfa, 0xe309a051, 0xce0e4977, 0x8ff033d3, 0x98e9dcd5, 0x604c6fab, 0x6565d122, 0x0478dd9a,
+    0xa82f3000, 0xcacf0b17, 0xf6607cb3, 0xe29b36b1, 0x9877542d, 0x6878dbec, 0x059b581d, 0x2a7123dc,
+    0xc23fdeba, 0x46c8f4ba, 0x632ad48c, 0xb07748ad, 0x92a85648, 0x27793d07, 0xe9ebf86a, 0x31d46316,
+    0x521c951d, 0xb234164a, 0xe918db55, 0xe5ad8a45, 0x1cc1ea81, 0xe43325c3, 0xc1bcf0b8, 0x1114d6cf,
+    0x01342f66, 0xc6b9c284, 0xadd47e5d, 0x13fca323, 0x15dbd20c, 0x7af53c3d, 0xb5189869, 0x3fc6e7a8,
+    0xeb336ff8, 0xfb223e87, 0xe4a5c059, 0x40b6c7c9, 0xd9a8d036, 0x6a710e67, 0x98a8723b, 0x3c9ca0c1,
+    0x7e0196bb, 0x488e45fc, 0xd434e216, 0x13faa086, 0x49d61f09, 0x9501f4ea, 0xee6e8633, 0xd0c913c3,
+    0xd1b70fd6, 0x22f3a1ef, 0xf609af81, 0x6a90742c, 0x3cded0c8, 0x7727965b, 0x9557fe12, 0xe19960fb,
+    0xcaf4c638, 0xead0e185, 0xc8c36355, 0x1a34dfcb, 0x19aa3d54, 0xe6aed3e7, 0x19b62a12, 0xf4c770fb,
+    0x1529261d, 0xb96601e3, 0xf38311b1, 0xe4625b67, 0x4d3ac90d, 0x941c3a04, 0x2b2fd9c6, 0x1ad4c8e7,
+    0x17676b6e, 0xef5b298e, 0xf5dba679, 0x9ed9ca72, 0x627d92a6, 0x933f9951, 0x49273d52, 0xf0c5c1af,
+    0xc2b5482f, 0x525f7870, 0x3aa15c3b, 0x486e588f, 0x2911eaf7, 0xd03616a5, 0xfde33b03, 0x33b2b07b,
+    0x7bbd7874, 0x74f23a91, 0x0140c0e0, 0xc114436a, 0x9cc512d2, 0xf0d18977, 0x5f8edb9a, 0x2270a1c5,
+    0x2711fa9d, 0xe1db89a7, 0x4bc01a7f, 0xaaec87c8, 0xa6f8083c, 0xd4d0b63f, 0x9bea3c8e, 0xf8c331ed,
+    0x0b9f0bf6, 0x5b893e67, 0x869d51ee, 0xb0bdebdb, 0x58c5e736, 0x63f4fb52, 0xf500bb10, 0x423a6876,
+    0x68c438eb, 0x5beb5a17, 0xfdc2ef3a, 0x24e7ad0d, 0x6288b8f3, 0xa78dc2d0, 0x61263abc, 0xba324d5b,
+    0xdcd2bb69, 0xa3bc6afa, 0xefbfdc3b, 0x357e98b8, 0xd7fb1e27, 0x5b7b2ab8, 0x17f42541, 0xc07f6682,
+    0xc86aa62d, 0xe9d97d59, 0xb50469e0, 0xa1823b15, 0x0f575b48, 0x4d5b3c9f, 0x6c6d6355, 0x3101cccb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000003138550867693340381917894711603833208051177722232017256448 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fe, 0x37b3ad4d,
+    0x00000000,
+    0xbde9afd1, 0x189270a1, 0xd89c2d3c, 0xb098232c, 0x55876f7a, 0x6d0bada5, 0xe3f5c514, 0xaf5efc1e,
+    0xb0a1a1b1, 0x0d924d73, 0x9c7b948b, 0x8adc5f79, 0x0357ed26, 0x67c11ab7, 0x1fe19090, 0x8b993659,
+    0x28ce2de2, 0x78dedad3, 0x5de4cbef, 0xc2e4e98c, 0x919f10b8, 0xa6adab42, 0x81bd24b0, 0xec732127,
+    0x94d584ff, 0xe5704f0d, 0x3d4b42e3, 0x7787213c, 0x36bf0c8f, 0x12c9b5df, 0x0f6bc1fc, 0x2e2538b5,
+    0x42188413, 0x2823fbbb, 0xc24e981e, 0xb5b6c119, 0x3ade32d2, 0x210b9124, 0x12d5d2a2, 0xa35faf58,
+    0xb8fe0fa3, 0xa18c781a, 0x7a233b3e, 0xd6eae86d, 0x9c1b6348, 0x99e4b15f, 0x30a93438, 0xe0b3f2fd,
+    0xa9b40117, 0xba852d26, 0x98281529, 0x2f07559e, 0x32800aa3, 0xe9f841c3, 0xf99badd6, 0x74fea34b,
+    0x120ebb36, 0x30b5711c, 0x3ed0baea, 0x71322dbd, 0x58c96d9f, 0x5ea67b7c, 0x35ac8358, 0x376afd59,
+    0x78b82268, 0xc4ab008a, 0x55394c87, 0x53db40af, 0x5d346a13, 0xd9b7a049, 0xe30a0582, 0xdbdeec2c,
+    0xd8ff0af7, 0x9d71fdd4, 0x02ae60a8, 0x15349f90, 0xa8aa2ede, 0x1a677d0a, 0x823f2d90, 0x6edca900,
+    0xc8c41173, 0x6ca96e48, 0x27d85dc1, 0xd687ed8e, 0x71ba6ba3, 0xdf9b36c6, 0x03fca37b, 0x8f35a943,
+    0x9430b5f2, 0x028cbf6f, 0x13a20c33, 0x7555a9c9, 0xa969bafa, 0x0e9ffa2d, 0x2582cc83, 0x66707bc1,
+    0x038604a1, 0xc5d0cdac, 0x7ec32bc8, 0xb57950ae, 0x6921df10, 0xdfa8bda4, 0x69dc3202, 0x318b01d9,
+    0xb39bba94, 0x51a6e706, 0xd9926055, 0xa7236585, 0xc8033d87, 0xd3569007, 0x6413e17c, 0xe5f125a7,
+    0x3c6710b2, 0xe30217ed, 0x561c1a11, 0x6e5e1d07, 0x8aff6d34, 0x7388b542, 0x2c103653, 0xd4e61d72,
+    0x56659618, 0xeecbc6fd, 0xb64db6c0, 0xa6d0dfee, 0x5020915b, 0x9ae4be75, 0xe2006eb9, 0xe91c6dec,
+    0x66ed0a7b, 0x5a25140c, 0x77fb0bde, 0x13c8b2b1, 0xe41c9e4e, 0xef7aa8a2, 0x1a1e86f5, 0x5b61cccb,
+    0x6a1d4a7b, 0x3ebb51c0, 0x0eab6398, 0x0d813599, 0x867b9a19, 0x47227b4c, 0xbbd94cb2, 0xced83f19,
+    0x210a1741, 0x2ccf1810, 0x4e69d517, 0x7bb72e23, 0x98944902, 0xaf0aca6a, 0xa66cfc25, 0x493d41de,
+    0x19650bb2, 0x11742aea, 0x1e1f0bdd, 0x6f67bb0d, 0xe35cbe65, 0x25d822fa, 0x8d478d51, 0xa4d80c51,
+    0x0d5db432, 0x632cc3c3, 0xf1cc3200, 0x689b7c1c, 0xfa7f383c, 0xf04a8f2e, 0x530d79a0, 0xf37ded25,
+    0x796bbe9d, 0xdcc96c40, 0x7abd3ae9, 0x5e8550ad, 0x7a428c34, 0x5f482bdd, 0x14f8191c, 0xec90aa27,
+    0x9ddf33ea, 0x4a555ddb, 0x55b3d7b1, 0x041a222d, 0x134416ca, 0xe888ad08, 0x91dbf6eb, 0xe2f16c7c,
+    0x8b5eb5b8, 0xfad31179, 0xcf857412, 0x6331e5c7, 0xcad691bc, 0xd7d15f68, 0xa93b6df5, 0xb1538324,
+    0x6a32a4bc, 0x0b83e66b, 0x556ee14a, 0x1cd09328, 0x0ffd3bcb, 0x74961ece, 0xc384c6cb, 0xfb7da84e,
+    0x08a51cc9, 0x65bed97f, 0x51173157, 0x5e7d07a0, 0xc821e75b, 0x2779a157, 0xf63d908d, 0x9fcdf94a,
+    0x097842d4, 0x1cfb6c84, 0x21a24e16, 0x1ed19a96, 0x86b203b9, 0x2d9aba2b, 0xbf8871bf, 0xf320fac7,
+    0x1047e267, 0xa4fb7e7f, 0x5a4cf2c6, 0x5c71864d, 0x21a4c6a3, 0x48545972, 0x626fde29, 0x6fb946ac,
+    0x78166568, 0x2f9fa83d, 0x12ad665b, 0x47073e7c, 0x59150b75, 0x9b07cd05, 0x73a19fb9, 0xd2602266,
+    0x6606c2bb, 0xeac4f59a, 0x2824b5e0, 0x04e965de, 0x07628334, 0x01f79bd0, 0x9b028ed4, 0x6f7578eb,
+    0xfd8bf941, 0x25a2ca08, 0x17a0a3ad, 0x40cfc24d, 0x86247fac, 0xfc46b59b, 0x62efa6c3, 0x2fa3ba83,
+    0x78963a1f, 0xcc49a037, 0x75a8a8d5, 0x2df1631d, 0x1704d3b0, 0x5d622b4d, 0x1e6c2f22, 0x91ee6678,
+    0xd8e9f74a, 0xfc34e857, 0x52ad040e, 0x1bd7912d, 0x697038d7, 0x5018c6b0, 0xb43a80af, 0x05f03fbb,
+    0x78a4a8b7, 0xd7053699, 0xac8cbdc8, 0x5eb2d9a8, 0x7cbd0987, 0x83d145b5, 0x83325329, 0x5a2df5b4,
+    0x47488efa, 0x7d82093d, 0x16a0119a, 0x75f58d8e, 0x453d05db, 0x29a85bf5, 0xb671ba6f, 0x2fdad994,
+    0x5e12cb38, 0xa3a14181, 0xaf6aad50, 0xcdabc2c2, 0xa2998753, 0xce880359, 0xa901d5b6, 0xcfc0ec30,
+    0x1dc75eca, 0x25d81ddb, 0x9ad904dd, 0x8e1c29b1, 0x0fdb41fe, 0x651d4794, 0x101769e0, 0x464276a5,
+    0x5d8e1cc3, 0x6060c45e, 0x1b347d5b, 0x5673c1a7, 0x45899469, 0xcca6ff84, 0x13511d01, 0xa923de92,
+    0xe4518b94, 0x2fab2227, 0xf6986484, 0x89bc9047, 0x2aed327a, 0xd4df7f84, 0x55767dfe, 0x5a4b8c1c,
+    0x73a180c8, 0x00c73cfb, 0x40a05b7d, 0x5d4d8f7e, 0x8a9c3992, 0x9dd45102, 0xcd3f4775, 0xcdefe1c7,
+    0x87c7fdee, 0x6a95f4ee, 0xba65e4ce, 0xeb0116e7, 0xbe362cd2, 0xc818431a, 0x98bb134f, 0x0bf0ebfa,
+    0xb5b8d4fa, 0xaa4124c2, 0x8177752b, 0x06e025a2, 0xdeea0cd1, 0xc7c2a31a, 0xaa15a8fa, 0x80eaa8a5,
+    0x60df27dd, 0x2ded0bdc, 0xc0a3a98d, 0xb21d5394, 0x62c74414, 0x9d5259fd, 0xcfabe784, 0x2f05b903,
+    0x6ce58c3a, 0xba61b961, 0x5abfb0de, 0xa36e908c, 0xc8ec55d6, 0xce186c7f, 0x2b7bea0f, 0x0ca904c0,
+    0xe5b71ccb, 0x1c37414d, 0x00751b8b, 0xbf52f192, 0xe2e4a147, 0x906140fb, 0xebb4b0dd, 0x1e063044,
+    0x43951026, 0x671a3ada, 0x683dacee, 0x04648de0, 0x47bdd853, 0x34bbd643, 0x115e324a, 0xfcfcc1c9,
+    0xbaf5ad1a, 0x3f352547, 0xbffb2587, 0xed1e0159, 0x20cdd29b, 0xaa62614c, 0xb876b852, 0x00698d50,
+    0x4c92e35c, 0xddc2e63b, 0xac9cad50, 0x850039ea, 0x88831d93, 0x0331e2a2, 0xc1c5da36, 0x367154b6,
+    0xd65fa9d5, 0xef47fcfe, 0xf86f7ff2, 0x17b74fec, 0x4661db49, 0x62b54978, 0x4a6f3312, 0x7a7426a4,
+    0x5d0daabd, 0x81678657, 0xcf936126, 0x43f4a9da, 0x5a34fec3, 0x7d8d7bc1, 0x841d26b0, 0x09d9a72e,
+    0x729688ff, 0x8063c9c4, 0x469cf33f, 0x6c62918c, 0x4ca8e721, 0xd1148e9f, 0x9d6ea21e, 0x23e1dd65,
+    0x577b0734, 0x165cfc58, 0x9471fe61, 0xcc7d8e7c, 0x70a90f70, 0x0aa4cb58, 0x0fa6d10b, 0x4d11f6c1,
+    0x30ec7b47, 0xa0f52cad, 0x8336cd6d, 0x42c1ec07, 0x8125ce91, 0xf2a43d23, 0x6602bb9b, 0xfe9f5089,
+    0xcd64840d, 0x0fde43f5, 0xf7255e48, 0x1e410154, 0x5e2b5f26, 0x3416e3cc, 0x67e65583, 0x347ca3ea,
+    0x9aab9ee4, 0x500b0373, 0x64e37f56, 0x7e38926c, 0xc9d68f96, 0x4fcb694d, 0x70f95680, 0xa1141aa1,
+    0x51d183cd, 0x8d5186cb, 0x33e27b13, 0xec873502, 0xb47272c1, 0x3d29538e, 0x74de6c0f, 0x5cbdbba0,
+    0x612a2ed0, 0xe2056257, 0x8742e16b, 0xaad6ffc9, 0x7e859e72, 0xc2acec12, 0xa4b2265d, 0x9d17bfda,
+    0x6d4d6a7c, 0x621f2f00, 0x38457368, 0x75645f21, 0x678bf357, 0x71826445, 0xc9e77892, 0x97a28618,
+    0x3a3b1040, 0x23dedd1c, 0x95f96f2e, 0x7421ac2d, 0x5dd37286, 0xb9082961, 0x6d4fa332, 0x9b8434a3,
+    0xeed22b3c, 0x74f84d34, 0x460e9b95, 0x781e2adb, 0x1e459d63, 0xee88e4e1, 0x3d1b7e66, 0xbe573d54,
+    0x578dc8b9, 0xa663ac70, 0x2df71477, 0x88d40d6d, 0x3379679a, 0x007e5606, 0xb4968134, 0xa596c3df,
+    0x3f7f9f0b, 0xccef8b5d, 0xb3eea2bf, 0x30a8fb9c, 0x75bc1459, 0x5b001a44, 0x7ba3aaad, 0x32efc38a,
+    0x172f2173, 0x6a75388e, 0x8c4f9d02, 0xed9d4f1a, 0x16291f70, 0x1c177a8d, 0x8eb6d533, 0x27ee47cf,
+    0xb07756bd, 0xcc376456, 0xeadbf9fa, 0x8e8abe19, 0x64ee541a, 0xce5a42db, 0x3588146b, 0x905a928b,
+    0x38152ee1, 0x9b890866, 0x8f24849b, 0xbee90138, 0x70124e2a, 0xfc77c7dc, 0x59cd0c07, 0xee7ed1dc,
+    0x4a0f61dd, 0xb4494449, 0xebdb84e3, 0xe6749599, 0x2d76e47f, 0xfd4e3d0f, 0xfbc2db6e, 0xfd4dfaa5,
+    0xdd538bf8, 0xb17b5b94, 0x072f0cdf, 0x8df4d410, 0xc7ebf521, 0x3d02a3af, 0xa40a0523, 0x405fd2e1,
+    0x5017c33f, 0x5ea66501, 0xac56e2d9, 0xac28f073, 0x5593b281, 0xcab3a712, 0xdf979a80, 0x2ac06948,
+    0x02853f30, 0x681967c6, 0xc5778977, 0xfa3540c5, 0x2dd33feb, 0x6d6a3936, 0x6ffcd7ba, 0x2f4d3565,
+    0xa7a734e5, 0x38f7a182, 0xac687378, 0x03faa08e, 0x49d6f25a, 0xb64166db, 0xcaf48b29, 0x2ab02c29,
+    0xfd963d28, 0x24ac95d9, 0xc67b4eda, 0x70bb99a0, 0x432413d6, 0x864f1c74, 0xe5d8967b, 0x2525fd9a,
+    0xc950e6df, 0x4fc89401, 0xdb2cd94c, 0x2f62a8d5, 0x8c9cf98a, 0x74cab268, 0xee3e5a66, 0xe5f2b7b5,
+    0xcbe9b4ef, 0x1a89beb2, 0xf98f1cb8, 0xb6ce0c0a, 0x872771a0, 0x8b3f3076, 0x2c8e9e4e, 0x0f97cb7e,
+    0xf50c1b6a, 0x105161cf, 0x2b262916, 0xb67415e0, 0xb4472987, 0x7eb46526, 0xb73ac0fc, 0xe23edd78,
+    0x70142a36, 0xba5561b6, 0x884f6fa9, 0x8d995c80, 0xcc5b89f6, 0x5052f64f, 0x3910e967, 0xe2018c45,
+    0x5655c9d2, 0x7d1337d0, 0x95d6f738, 0xe849755b, 0xc2171df5, 0xa8e92551, 0x713a22e3, 0x4023efb1,
+    0x0f7c0b08, 0xc35c9c5b, 0xc7b81cd6, 0x1fda33e0, 0x3d19a51a, 0x99800a1c, 0x07166ee5, 0xf660c1bf,
+    0xfe9095b6, 0x44b3a014, 0xe131cdb5, 0x409c52ee, 0xcf6f040e, 0x0d0dbd1b, 0x9a205367, 0xafff6a8c,
+    0xd0952957, 0xf474f8e9, 0xbc3b5bf3, 0x41e3713f, 0xad25e872, 0x67c0fa5b, 0x17fcace5, 0xfd5683a1,
+    0xbf46d67c, 0xa03cd421, 0x2af14b47, 0xace08a5f, 0x0917dbe8, 0xe5009848, 0x96a187be, 0x7ea5347c,
+    0xe5d803ad, 0x8d49e9c0, 0x6d8c5034, 0x97ab4402, 0x72731168, 0x5d52a484, 0xf011933c, 0x57f0b084,
+    0x338c23f6, 0xfe663c1a, 0x1f1b034f, 0xb5cf7dec, 0x6d0e7081, 0x07f3be93, 0xc6c640e7, 0x3c9f5baf,
+    0xc812f933, 0x0e393738, 0xfcb3a470, 0x78bbaf2a, 0x46ad3690, 0x81bc8a6b, 0xe03e87e6, 0x1c34903b,
+    0x49e6d427, 0x38838bfb, 0xb5a12c15, 0x8609e932, 0xa28b64f4, 0x9de4628f, 0x66d8b66e, 0x87e7b304,
+    0x84a21c93, 0x105c36df, 0xb101bf5f, 0xf983a642, 0x0914305e, 0xaf09e11d, 0x2c9267e9, 0x2f5410e1,
+    0x2ba72f59, 0xfe8cb22e, 0xa413da62, 0x8acf8e9e, 0x46c5dee0, 0x80718c0e, 0xdb2f147a, 0x8e6244fc,
+    0x22091660, 0xa1e4ce9a, 0xc93fea05, 0x6a7d9a7c, 0x98673f01, 0xc7ae1c34, 0xc3b83b2d, 0xd9721712,
+    0x4fdb9818, 0x0c3f19a7, 0x036c9bdc, 0xad0a371f, 0x754dbe92, 0x68143658, 0x9498833c, 0x5e3e503b,
+    0x841090a4, 0xf4c4164e, 0x1fbc5336, 0x366eb1b5, 0x3779a298, 0xb809168d, 0x17197de4, 0xdd4df37d,
+    0x0a184976, 0x39b2a252, 0x64ed2c61, 0x1453baf5, 0x1cab4c25, 0x34415fb4, 0xac9919d6, 0x271b0fbe,
+    0x2ed6f034, 0x0e7b5374, 0x6a0bfc8f, 0x09684cf5, 0x82b4306c, 0xb3230b65, 0x27ae9573, 0xcab74b6c,
+    0x2f9bc339, 0xf3b2724b, 0x568a05ed, 0x7d085cb7, 0x6852d894, 0x27a9afa0, 0x4c155430, 0x3f729c53,
+    0x97a1c2b7, 0xf323bca6, 0x9501c956, 0x1c756314, 0x37b7a92e, 0x29d8b344, 0xa91e1dfb, 0xd684f195,
+    0xecb6fff0, 0xaa6e80c3, 0x4e81f614, 0xc6b937f4, 0x6ce5f305, 0xecfcf376, 0x2d70e7a5, 0x97ad2cc6,
+    0x73558a58, 0x52690e2d, 0x2d247633, 0xa78f2a9b, 0xe73afdbb, 0x2a7c3bef, 0xaa61b353, 0xd01bdf8f,
+    0xddc362d1, 0xa70d0cc9, 0x205a916e, 0xc952bbb5, 0xd7d1d08d, 0xbe8c5dbc, 0x52b2fb38, 0x2db92f7f,
+    0x7ed999de, 0xd3d955c1, 0x4206d6b7, 0xe6c9468b, 0x16fea136, 0x8ab98382, 0xd41523e9, 0x1fa8d93c,
+    0x8aa2076d, 0x9fba2127, 0xe1601cd1, 0x9255fef8, 0x7fe84a8a, 0xa5b79077, 0xad2da498, 0x820ea8f1,
+    0xe0963d85, 0xc831dab2, 0x05d43e5f, 0x6a9b6f7f, 0x822cf253, 0xde7604b0, 0xd88cc04f, 0x892007ff,
+    0x53b936cb, 0x9d20c0a4, 0x92e998d2, 0x2cf15dd1, 0x82cba5fb, 0x6ce0a6fb, 0x82403c4f, 0xdf239561,
+    0x9a4144ab, 0xd7291c5a, 0xc8b269f7, 0xf291c8ec, 0x9b88cc3c, 0x602ab180, 0xa2a1eb4b, 0x9eebeec2,
+    0x25c5b26c, 0x340ccb26, 0x7e148472, 0x7b5fa87c, 0xd69a90ab, 0xda8a34a1, 0xd70b4e3e, 0xaa1603e8,
+    0xde806325, 0x310c95f6, 0x49bf2dcb, 0x71bb2841, 0xc42cfbff, 0x06e4e57d, 0x824dda60, 0x33e71951,
+    0xb2c7740e, 0x488aea52, 0xea17192f, 0xc88b3541, 0x3dc6d870, 0xba420454, 0x425a5569, 0x47967966,
+    0x1f476da4, 0x95eb9ebe, 0x5c4211fe, 0xd1c521ea, 0xa9d830f1, 0x0b3023e1, 0x7878c669, 0x9fa273fa,
+    0xf4bd2392, 0x64dd3d24, 0xe924f302, 0x4a1ec2bc, 0xb18c6139, 0xc9998460, 0xcbf066a0, 0xf15bbfe7,
+    0x18cfb80a, 0xefc96dbc, 0x6cfbd728, 0x0894cdc9, 0x0426e19d, 0xec3a9794, 0xbffd9e1a, 0x8cb7e841,
+    0x1dad7e9f, 0xffe21bc0, 0x48801862, 0x27dd929d, 0xe5f45c9c, 0x0c7b4125, 0x14fd5226, 0xcbf82106,
+    0x891d0e30, 0xd6054a06, 0xaada92dd, 0x2b385d44, 0x8d67bc97, 0x320f8117, 0xd07b1184, 0x8773d690,
+    0xca5854df, 0x781231c5, 0x441b0f13, 0x3d15645d, 0xbc29c899, 0x35fa7cf7, 0x4da616b4, 0x34cb032e,
+    0xdd959bb0, 0x6415140d, 0x49a79240, 0x59a087df, 0x59fff576, 0x5d55ce57, 0x6f6708d7, 0x9a4e2a12,
+    0x2d4a8e09, 0x5764c0b4, 0x22a54983, 0x06d3caae, 0xad2d9eb7, 0xdb111ab4, 0xf5b23dad, 0x792aefba,
+    0xff907570, 0x76985dcc, 0xa1d31c57, 0x1c5487c4, 0x950c25f3, 0x6058385d, 0xb665d7dd, 0x2ed9b752,
+    0x1f6a64a2, 0xeb90eba5, 0x9ce7f840, 0x0150a449, 0xce1af6ba, 0x73e1a481, 0xf4b32174, 0x8a7b1cc9,
+    0x43d6c090, 0x2c09a20a, 0xeb541ef6, 0x898264de, 0x63c51854, 0xb65c3696, 0xbb168683, 0x8e715dd5,
+    0xea0073d6, 0x51db807b, 0x59dac0d7, 0xc4484280, 0x2f1764eb, 0xc33b7b51, 0xa4ee5c5e, 0x041d32dc,
+    0xec6c958e, 0x613df412, 0x971866e2, 0x2f24c019, 0x2e37b325, 0xcb89eca0, 0x3441af59, 0xa6c27041,
+    0x643f13ee, 0xec05a397, 0x222717de, 0x0a39f2cf, 0xa8a0afde, 0x0614ede8, 0xdc9c5fd6, 0xaa231bb4,
+    0x9106d2b3, 0xaea878d6, 0x8a9609f0, 0x21661238, 0x05e18c71, 0x49335f0f, 0x84dc39fc, 0xe9933986,
+    0x6c95a459, 0x6c4ae520, 0xdfb6c9a3, 0x7b070359, 0xaa0ca25e, 0x4a956652, 0x40d1bd84, 0x8bc7361d,
+    0x1d3d58c3, 0xcf16b2a2, 0x37262344, 0xa7b15794, 0x98dee908, 0xc7adb576, 0xa545c6fa, 0x73225de8,
+    0x23231cb0, 0x0a845b41, 0x480008cf, 0x58d96c42, 0x42c91ed9, 0x7fd769c0, 0xac4cb7b7, 0x615a23ff,
+    0xdbbe9e2e, 0xb03baeb3, 0xbb8b8c12, 0x0f0c85de, 0x95a8565c, 0x390dce3b, 0xccd617e3, 0xb5713ecb,
+    0x9c6eae6b, 0x1cc456eb, 0x5f017aa7, 0xa294f7df, 0x6518ead7, 0xd54be159, 0x1f8f165b, 0xf0d91e2f,
+    0x74f66826, 0x41b019c3, 0xbb598d38, 0xd406c149, 0x38bbc649, 0xc1c6531e, 0x9ecd144c, 0xdb579c87,
+    0x3e7a36f4, 0x8ca3f624, 0xd6e3b7a6, 0xd0bfe69e, 0x4ea26397, 0xf47c6e5a, 0x23e4303e, 0x16a15fc4,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000001569275433846670190958947355801916604025588861116008628224 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62aff, 0x1bd9d6a6,
+    0x00000000,
+    0x9be9b620, 0xa14b50b2, 0x8e1bb09a, 0x6d4cf788, 0xf8275e9a, 0xda6bc760, 0x464ed85d, 0x26d31ad4,
+    0x62ae9e92, 0xc6eae98a, 0xe6ef0714, 0x589016d2, 0x598c39e7, 0x45d46f43, 0x3c8df6ee, 0xe2f0159e,
+    0xc979f9f2, 0x368015f6, 0x308216aa, 0x21886083, 0x207af44b, 0xe7537faf, 0x0aac2f05, 0x58d3942f,
+    0xd38daa2e, 0x3e22484b, 0xebd171c5, 0x65fd8261, 0xa767c741, 0x80ee4db9, 0xae84cac9, 0x4966a1e0,
+    0xabadbeaa, 0x0e43fb5a, 0x2a6b21e6, 0x6c552cc5, 0x7d6af07a, 0xee8cc653, 0x760338d7, 0x6459bc7e,
+    0xaab8fed6, 0x076c6552, 0x196eac0a, 0x69c0882d, 0x58752438, 0x01f777dd, 0xbe06b0d6, 0x2a8a2f27,
+    0x74d6ab2e, 0x7dad4581, 0xb49b465b, 0x9f2776d8, 0xff1d292d, 0x15166c7e, 0xbc474e3a, 0xd94be746,
+    0x096bbeb7, 0x3da3f654, 0xaf34069f, 0xc538f945, 0x1c15fa14, 0x3090d71c, 0x4b966c09, 0x489b8976,
+    0x8a15fbe6, 0x6d56734d, 0x8974f56e, 0xa37c319b, 0x620a77f4, 0x61c53bc3, 0xbf93a0bd, 0xa6fa6f14,
+    0x31eae866, 0xffc98be1, 0xcf8170df, 0xbc54ad47, 0xa94b8b74, 0xee1c3115, 0x60d74417, 0xadc61f58,
+    0x1333d64c, 0x084ab24c, 0x315ba92b, 0xb8e66b62, 0xc787f518, 0x792e074b, 0x2312a40f, 0x4ab49c6a,
+    0xfd6c0200, 0x558be46f, 0x64a3876b, 0x2806560d, 0xcf467779, 0x7a23e75c, 0xde1b5b58, 0xe1d753c5,
+    0xd873dade, 0x1e3699dc, 0x47c0a242, 0xdaf93a21, 0x8c643fa3, 0x86c275a4, 0xa1be6225, 0xbec7da9f,
+    0xf2a7011d, 0x138e0300, 0x064745c7, 0xc47fb887, 0x2db8738a, 0xc20cacaa, 0x7228eb62, 0x71940831,
+    0x56078ba9, 0xd0dda7fd, 0xce6f720f, 0xd727b3ea, 0x86b853b7, 0x6ac90f6b, 0xa38c08c3, 0x3fcd3a3e,
+    0xd1debdfc, 0xf95b3da4, 0xb80c11b6, 0x218c0087, 0x634d97dc, 0xd51da17c, 0x53543f4e, 0x0641ecb3,
+    0xc7104fce, 0xdef47f73, 0x20f3dbf6, 0x919f07c3, 0xd691b8c6, 0x3d0206cb, 0xa22e0ac6, 0xebbd2916,
+    0xa7c44a6c, 0xa53b2f0b, 0x69518bd9, 0xf21cec64, 0xe8cc73b5, 0xded881d2, 0x8bcad7c5, 0x4ad45862,
+    0xa6bbcdfb, 0xf419a089, 0x4224afd1, 0x94f791d2, 0x21e84b74, 0xbea4f5bf, 0x2a6ebda7, 0x4fc27557,
+    0x0f34efa8, 0x8b7069c4, 0x769ab6c4, 0x01afcf53, 0xa9a42b5b, 0x20b86c27, 0x3c3f14ab, 0x65ed94d4,
+    0xff8ead34, 0x4ef35ef7, 0x5e464092, 0x73028156, 0x3ef78594, 0xc28e0400, 0x25206482, 0x03e2c895,
+    0xe9b77098, 0x62a99c9a, 0xab96aa7c, 0x8264189d, 0x40f8d5ff, 0x7ac92801, 0xdf41dc2b, 0x46d3ccc4,
+    0x08e42514, 0x7b149d56, 0x58abba53, 0x9f6d4c26, 0x5ffc58c7, 0x8d54120f, 0x84e518bc, 0x1f4173ac,
+    0x1132e3c7, 0x44914585, 0x6679ae9d, 0xb3186a76, 0x8faf8f8a, 0x955a81bf, 0x3ccd9572, 0xe2519672,
+    0xaa16a262, 0xe638674c, 0x5b97c255, 0x6360347a, 0x37cae8a9, 0xc770005c, 0x0ce5cc7a, 0x5755c8f2,
+    0x5856a0a2, 0xfe2be3f4, 0xce670477, 0xdf59a589, 0xde51cddf, 0x80774d44, 0x9103422d, 0xa2d399d2,
+    0x50c6b504, 0xf3bd8d1d, 0xd4805da3, 0x8b0b2efb, 0x5ef0a756, 0x5494068b, 0x7fbaf615, 0x295a54a1,
+    0x27b908f2, 0x2ab42a95, 0x61e61655, 0x68ee1063, 0xd3a11c18, 0x6be8ecb0, 0x9840aec0, 0x82f1f6c3,
+    0x58c4a137, 0xa72bfffc, 0x6ee5e0c2, 0x1a9c3d43, 0xbd124cdf, 0x82a0a476, 0xe5e4c023, 0x9e775892,
+    0x7f1358c5, 0xb52a4734, 0xde78c5a3, 0xa4232650, 0xd11fb8c5, 0x4770b7d1, 0xfcd72023, 0x3e580e4c,
+    0xb39eabfa, 0xbce8ea04, 0x28528bb0, 0xcd668bb0, 0x0dd3a7da, 0x4290567c, 0x517cfa7c, 0x390e8bf5,
+    0x717d05fb, 0x142ead71, 0x0f7c755e, 0xb9763e05, 0x9b3797fe, 0xfb989f3b, 0x247a7b05, 0x24822505,
+    0xda6e4d61, 0x81fd6226, 0xc023b407, 0xd741df35, 0x979afe91, 0x9114fbca, 0xa87ece7c, 0x234db197,
+    0xb11db0a6, 0x09654d75, 0x48396149, 0xbe110d3f, 0x693701bd, 0x2a0b38a7, 0x584a78aa, 0x03cb4c91,
+    0x386a19a8, 0x08a84373, 0x9fa4d744, 0xa0019fc4, 0x44ef8f92, 0xb73bdbdd, 0x063c7e36, 0x10b37138,
+    0x629b3afd, 0x74205a0a, 0x185adbe9, 0x4ac0e3e4, 0x7ce0be2d, 0xb8301cc1, 0xbf9a1c6b, 0xb26185e1,
+    0x56581cba, 0x32fdc287, 0x20cc16bf, 0xf87ce2e7, 0x56c6b613, 0x701853be, 0xbcbb37f7, 0xac9be0b9,
+    0x2d046f39, 0x68a1ffa3, 0x0dad35c9, 0x861b834f, 0x26cbbda8, 0x31bf01e3, 0xbdf1a190, 0x5842ce43,
+    0x92431151, 0x3d672ba0, 0xf3057aa9, 0xb97caa3c, 0xce8be181, 0x5b03f929, 0x9a70836d, 0x754a6541,
+    0x46425646, 0x01aef1c1, 0x00e433db, 0xf9dbf580, 0x0ce0397e, 0xf3af6fa3, 0xf69155df, 0xff55c84b,
+    0x22a6ee4b, 0x35ea7bc4, 0xf99188b6, 0xc3b126c1, 0xe39b5fed, 0xf4479d63, 0x2a350b47, 0x7a02077c,
+    0xfd691377, 0x87031bfa, 0xb7edf8a7, 0x3ab57c70, 0x3e936377, 0x19d1aaea, 0x9ad44719, 0x9ebd1396,
+    0xf0607988, 0xf5979b7d, 0xe09dc8b6, 0xa12f3b8f, 0x144b99b2, 0x9d4545b0, 0x7d5755b3, 0x832ca949,
+    0xd1c43e35, 0x5590aae2, 0x7bc789ba, 0x07211571, 0x8b320e01, 0xd4546aaa, 0xdda417d3, 0xe74fc644,
+    0xb69733e6, 0x2a6e6d1d, 0x57e5beda, 0xc4e9fdaf, 0xb8cc028a, 0x7ee11ec7, 0x972b60b5, 0x4402fc55,
+    0x2c54769c, 0x7bb29cd1, 0x0dc177ba, 0x44d5ef76, 0x4d71932b, 0x60752d87, 0xc2764f1a, 0x8bcbfcc6,
+    0x3fbb5cd6, 0x9dc3cbaf, 0x5072fc26, 0x78eee21e, 0x3594628b, 0xd00007ef, 0xc39e7a92, 0x07935dbd,
+    0x881cacd0, 0x874a4073, 0x4936d1f0, 0x3b2bc784, 0xf510c0e2, 0x9c062ddc, 0x0218ea38, 0x2acaa3f4,
+    0x8f1d1fb9, 0xb738fc2e, 0x7390cd34, 0x3ebda89e, 0x3916a2c6, 0x8ef13133, 0xc75068fc, 0xc8b0ad46,
+    0x0b5fc9f5, 0xbbf81c00, 0x2b9fef13, 0x5b9e9757, 0x9b0d180f, 0x0409add6, 0x397ec490, 0x7d489ea6,
+    0x1ceb1bba, 0xafe0d04e, 0x30838490, 0x67ebba4f, 0x4c34803a, 0xb03d3833, 0xb5029b51, 0x69c8b2d2,
+    0x888c0d3a, 0x7e9ee8d4, 0x11f42eb3, 0xc274dbee, 0xcdd90eb5, 0x8a645cf8, 0xc9daf8f2, 0x6898e6be,
+    0xee8a3d1c, 0x625540c4, 0x4006a821, 0x6f355e99, 0x8d7360dd, 0x4149a44e, 0x92ce7411, 0x606eab10,
+    0xff44bc1e, 0xe5fe8253, 0xc0f71a0d, 0x017e2f3f, 0xb7e7c3f2, 0x98268ca8, 0xa19dcbbb, 0xd8782386,
+    0xebdae3f4, 0x7b1ab642, 0x1b2e1f41, 0x94936d6c, 0xc1be4726, 0xe31d76a7, 0x2a80afd9, 0x6e944030,
+    0x8e6e7aa9, 0x1365c10a, 0x43b8556b, 0x8eb0448a, 0xfeab82d3, 0x23ae141c, 0x1a4873ed, 0x9dfc4e56,
+    0xbae4ebce, 0x4eb99321, 0xaa0e08e0, 0x6062d1cc, 0x0765d64b, 0xc865de7a, 0x716ea423, 0x3f3933e5,
+    0xbe44e5d6, 0x943d922b, 0x8a06a172, 0xfa700a5f, 0x9c335c55, 0x6e5f8ca7, 0xe668a3a3, 0x75e12d8d,
+    0x2cad14a6, 0x9ef105b3, 0x75862daf, 0xac72ba53, 0x5ac2975f, 0x941dbf42, 0x1aa2afc3, 0x48a732b1,
+    0x3cf55ed1, 0x5114bf16, 0x44172fcd, 0xf54b9801, 0x22d1d36a, 0x30669aaf, 0x560f3a3a, 0xc82e54d0,
+    0x3f210aa4, 0xcf0231c1, 0x5f1255e2, 0xa0b521c3, 0x3248fecc, 0xee6c28a0, 0xc76e94cf, 0x64c5c7d7,
+    0xd5c9072e, 0x33324530, 0x4aee0609, 0xb08ed1c1, 0x87ac66c7, 0xa36410f1, 0x406b3958, 0xb70d479a,
+    0xd75ff958, 0x217fc020, 0xc9eca493, 0x57ff0414, 0x24d86853, 0x85fcd795, 0xad19ce45, 0xf047c3e0,
+    0x288415fc, 0xa933c745, 0x323c6a12, 0x3af682a4, 0xb2a0c854, 0xd04231aa, 0x73613e18, 0x505225d5,
+    0xe02116a8, 0x0a7babd4, 0xe96ce5a9, 0xe235ca3e, 0xc911d1d4, 0xeae7eb08, 0xd95a1210, 0x61af8387,
+    0xc5fbea78, 0xb4d7b8ae, 0x3f26d4b8, 0x886cce6c, 0x988ac3f6, 0x68fa3a9c, 0x31eca2e9, 0xa5d1bba6,
+    0x05b828b1, 0xace810dd, 0x0f700b5f, 0xbe1883a3, 0x6a3ec864, 0x8d3858ed, 0xc459b2ea, 0x7b29a67a,
+    0x7017dd79, 0x19e0b6e1, 0x9fc516db, 0xc43d93e4, 0x5b5c7c60, 0xc71893cd, 0xfc2674ca, 0xf1e34da5,
+    0xeadd5534, 0x8b2419e8, 0xdc1005d3, 0x71bde16f, 0x4ed69d1b, 0xde438728, 0x73a12b54, 0x7888e66f,
+    0x3fc272d8, 0x87136bcf, 0x2ad47612, 0x77d6ac5b, 0x43677e0d, 0x56e4d247, 0xeaf67ee8, 0x7a94426d,
+    0xdf8d2938, 0x46bee01d, 0x491e9702, 0x0822b73e, 0x294de0c0, 0x2750eca2, 0x65e21a4d, 0xf9ff82b1,
+    0xb5110acb, 0x986ad89e, 0x6f605d49, 0x2af308c6, 0xee58b250, 0x429ccf31, 0xbcbbad6c, 0x0b2a08b1,
+    0x5dbe7bff, 0x52d9a5e8, 0x9ca76916, 0xa4c285e4, 0xdb6a55f1, 0x087787ce, 0x676a0b59, 0xfb1e27e4,
+    0x57c5a10b, 0x4da32522, 0xcaa35051, 0x91c92236, 0x8c2d2309, 0x0447057a, 0xcad3b4ba, 0x2051f04c,
+    0x8b16ce69, 0xa84c4591, 0xad531f8e, 0xb9ec8e47, 0xd0b1d35b, 0x03b2e019, 0xdfb14e0c, 0x7e338e13,
+    0xad2a2ecd, 0xced0cfde, 0x95c33a09, 0x8c9d7e63, 0x5cdf6ecc, 0x09d7dc72, 0x12ebb04a, 0x4b66ed33,
+    0xe547dd38, 0x3585a1b4, 0x2e01dc22, 0x61ff9c6a, 0xa4c89cde, 0x076ea49b, 0x5c07fbc1, 0x08a56ade,
+    0x4c620dc9, 0xfbd89220, 0x8f2aec3a, 0xece923ab, 0x8ec75ff7, 0x8489e123, 0xb32b7155, 0xafd90c65,
+    0xf285e5c6, 0x785094c9, 0x44433317, 0x339fd889, 0x2973cf7b, 0x3a0dccae, 0x86be8a04, 0x54e38729,
+    0xee7e63b9, 0xd6d6edf8, 0x10a503ef, 0x747ef4fc, 0xc883e1e6, 0x63335253, 0xd1bb1eba, 0xb9bcf5bf,
+    0x74679993, 0x3728010c, 0x51854de3, 0x189d1674, 0x19df72dd, 0x97cd81df, 0x677c8f99, 0x4005a446,
+    0x32fced5d, 0xd75037fa, 0xe5aafa7f, 0x8de24cf0, 0x5e0c23dc, 0xa70b64b7, 0xe8862d4d, 0x2a9b1390,
+    0x0e49ff66, 0x373189f6, 0xa7f8a408, 0x83e506b4, 0x1ac76d4e, 0x8fdb9457, 0x3452e2cb, 0x45723114,
+    0xb55bcad3, 0x648a27b0, 0x58e27279, 0x83f66edd, 0x41cfea4c, 0x63146e56, 0xb72d1ed9, 0x57602f36,
+    0xe162e73b, 0x1dfbe6f1, 0x9e470c83, 0xf875a729, 0x6baa5b66, 0xbc1d66c7, 0xff584ed2, 0x32a2fe7a,
+    0xe76bb866, 0xc2c3692f, 0xf2a4a09e, 0xb1247051, 0x30f45bb7, 0x78d4c763, 0xe9b7a885, 0x47e0bd63,
+    0x873816a0, 0xf3957fb5, 0x27dfdf2e, 0xfe67d634, 0x3dbd1668, 0x193ef01b, 0x7c1fcaa3, 0x05a4c55f,
+    0x80f9d84c, 0xbfbb0863, 0x0930ea2d, 0xb7938c2a, 0x85bf972d, 0xc16ec1b7, 0x777e0ad9, 0x2e43a177,
+    0x73f6beeb, 0x2f38be18, 0x1e6c9290, 0xeed94521, 0xc69575af, 0x4f302192, 0x32928b99, 0x90f1bdc8,
+    0xaba4dbe2, 0xe4ffa5d8, 0xf1efac70, 0xdc9ed582, 0xb5640d5b, 0xac84517b, 0xe5ae8899, 0x2fd70a70,
+    0xafdc2968, 0x50720dc5, 0x24538c21, 0x8e9a34ba, 0x1d760843, 0x731f531e, 0xadd104e9, 0xf1cb99cc,
+    0x5bda98ad, 0xd4a82014, 0x213e4ac6, 0xc1581ba2, 0xa54547d6, 0xf15fa8e7, 0x92e76a36, 0x50cd96d6,
+    0xb88af0ee, 0x59cef5c3, 0x2db7c6da, 0x753e50e5, 0x5465528c, 0xa5df35e7, 0x2e65547d, 0x86e9c445,
+    0xac037057, 0x25b38d10, 0x9625ea73, 0x8a75686e, 0x6e103bb8, 0x94301700, 0x68268afc, 0xcad29ed9,
+    0x61dbff5f, 0xc2fc4da0, 0x52e9b09d, 0x80ba9808, 0x1b6c6f5a, 0x70d78691, 0x4bda80c7, 0xaace4ac3,
+    0x5c174386, 0x5394ec0b, 0x450f1f32, 0x8955a687, 0x3f7b6797, 0xb7d9cc39, 0x83ce9765, 0x1916923c,
+    0xc09cedf6, 0x5faf7976, 0x46453011, 0xadcd1c96, 0x077dea27, 0xc47cbf65, 0xc489e3aa, 0xc29801d5,
+    0xa37cd9c3, 0xbae45253, 0x70f375bf, 0xdcc746b2, 0xe10b9dc9, 0x5428673f, 0xd7dfce1b, 0xe2a29be6,
+    0x20cc227a, 0x1102f923, 0xc7a0ccd4, 0x31e7710c, 0x9e95160c, 0x3ad00a2c, 0x7224f0e4, 0xe331aa63,
+    0xa6763d3e, 0xa206f7b1, 0x3e1a8ad0, 0x8f7a290f, 0xab5c8005, 0xe830fe08, 0x02b82b18, 0xd8bb712f,
+    0x22b4720c, 0x23b35760, 0xe461bf85, 0x5599a24c, 0x23e516f6, 0x03116ccb, 0x9efdab8a, 0xef6aaa3a,
+    0x1941f553, 0xe283d1c6, 0x43927e1f, 0x0a5d4d7b, 0xb8fc1bbd, 0xce61606e, 0x927cfdb6, 0x5d3770e0,
+    0x0142771a, 0xa6473d66, 0x579a37c0, 0x89ea0309, 0x0aab4d25, 0x693331f1, 0xcdb836c1, 0xc9b946f8,
+    0xbdb453f6, 0x3f49d51a, 0x2beb1d61, 0xfbc4c6d7, 0x2f9705e4, 0xaccd2870, 0xdddd4636, 0xf1ec3ae6,
+    0xa6c64f45, 0x267bb9de, 0xc026df78, 0x4e362d1f, 0xfb35f2de, 0x925a6dd3, 0xdd79dda1, 0x469c3799,
+    0xcb1a6810, 0xc7503947, 0x16e061de, 0x0a074899, 0xfe392296, 0x50887594, 0x27dd343b, 0xec2de2ac,
+    0x8959c8c3, 0xce1f9399, 0xf4d88aff, 0x8ad76f80, 0x21a056fb, 0xfb9b4da7, 0xef8ebaca, 0xc853ff69,
+    0x7b3f5c40, 0xd22713ba, 0x195b498d, 0xdcb945ac, 0xdbf72f6f, 0xc90b8b8b, 0x4a84fbe1, 0xa4d9a4a1,
+    0xb11fedcd, 0xa5f23d71, 0x1415c243, 0x3208ae19, 0x1a8509fa, 0x20e8e5e2, 0x04382449, 0xd94e6502,
+    0xf2331210, 0xed6871c7, 0xdb67181e, 0x7b6dc64c, 0xf0c3214d, 0x06188519, 0x0ae5f25a, 0x132c548a,
+    0x4b6b903b, 0xb30779f0, 0xf070aff0, 0x03ee2313, 0xe0cd643f, 0x9dc10a77, 0x99707490, 0xfa57dd86,
+    0x0ed2dd15, 0xf06db1eb, 0x6ee4e32c, 0x93261cd9, 0xeb225efe, 0x5f847475, 0xe77f3c61, 0x4e1ba0a1,
+    0x4ef21a65, 0xd5172ebb, 0xddeb2f93, 0x4dea4e1e, 0xcbc5b334, 0x60cf3783, 0x36ff8ff3, 0x1f00b402,
+    0x7ae4db04, 0xce788a5e, 0x78e9e27e, 0x8e718a74, 0xbb0b3a3a, 0x62c1c3a9, 0x95621770, 0xc9ee28bd,
+    0x5b819a95, 0xf20bfe98, 0x19a0a918, 0x93b6f3f7, 0xe3f56cd2, 0x0d06d49e, 0x841f694b, 0x346c76d2,
+    0x30fe533e, 0x1cfe4474, 0x72cf5cfd, 0xc95b4d5b, 0xc8546e13, 0x91e29f88, 0x6384cac1, 0xf47aabb1,
+    0x2ed14e0c, 0xd6341ceb, 0x401e2bfb, 0xda1fb0e7, 0x5eb15769, 0x410c5234, 0xf0786c75, 0x09b3a1ec,
+    0xf1fa7cd4, 0x7103d504, 0x8514655a, 0x02a53a52, 0x7eff52c4, 0x1f9d72fb, 0x66101ce3, 0xce90fb00,
+    0x10ee561b, 0x6f5822a5, 0xe4d8cac5, 0x8643d8d7, 0x3409d5f8, 0xe545e1b8, 0xc21fa7d4, 0x6e9e805b,
+    0xdfdb68ca, 0xc652a24b, 0x9c0b364c, 0x4062797c, 0x554f86b2, 0x4b3cc165, 0x7bdc62e1, 0x4a789020,
+    0xc9dfbdaa, 0xfd8648a5, 0xbcd85ee0, 0xacfa0415, 0x2bba63fc, 0x14dc1787, 0xc304b206, 0x78cc3e52,
+    0x07f4b5d3, 0xf1f5710f, 0x74d499a2, 0x676c17d5, 0x02cb39aa, 0x6928437e, 0x7b456c2d, 0xeeafd8c0,
+    0x66ef88e9, 0xbe9146ed, 0x934e0544, 0xa568faac, 0x1dae5cd0, 0x68dd3475, 0xfcf3601b, 0x47543d49,
+    0x569a4ab5, 0x5e01db9c, 0x1ffd50a5, 0xf50b8c6b, 0xfe2ec5c4, 0xc3669e18, 0xca5366a6, 0xab5e6e04,
+    0x06dcc970, 0xbdd5eb34, 0x9575c35c, 0x94f22733, 0x9808ba87, 0x2e30dd14, 0xbdf51196, 0x5f053242,
+    0xab0790e4, 0x5a29fd38, 0x9228a83a, 0x8109329d, 0x814a941f, 0xb771957e, 0x25618aee, 0xdefab9fc,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000784637716923335095479473677900958302012794430558004314112 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157f, 0x8deceb52,
+    0x00000000,
+    0xc7c8bed9, 0x5342d5aa, 0x9a5e4dc2, 0x175f7990, 0xfda49e45, 0x61619203, 0xff984bdc, 0x9f01bd31,
+    0xc002a833, 0x000922fa, 0xdffca9a1, 0x88023498, 0xd48b1da7, 0x2cf3db1b, 0xea13189e, 0x705033d0,
+    0x64dfbe0e, 0x8ddc09ea, 0x0b886863, 0x2062dbfd, 0x23b28433, 0x5b320e80, 0x645a866a, 0x34371446,
+    0x5650ee81, 0x24e0abfc, 0x39f52431, 0xd5f0ee9b, 0x326b21d3, 0xec247a7f, 0xfc3401fe, 0x2f6e922c,
+    0x7cb5801b, 0x305cf561, 0x67d102e1, 0x5db86b3d, 0x1f81d797, 0x4983aa85, 0x135ead90, 0x12e76660,
+    0x1b09800f, 0x1c193184, 0xa20758fe, 0xaaa41042, 0x7e7c73eb, 0x68ad67a6, 0x7ceaab07, 0xa3ee746c,
+    0x96d70540, 0x0619bf96, 0x5f3e1bea, 0x76b08978, 0x5ac4f8a8, 0xef765fff, 0xc2d64120, 0x7474f017,
+    0x5a9cb962, 0x4432d219, 0xcdcb88ff, 0xb9d99f19, 0xb5a52940, 0xa535edba, 0xbc496505, 0x27e32ca1,
+    0xbdbd1809, 0x6524ad47, 0xd84637c0, 0x37d34c0c, 0xf678a449, 0xa214306f, 0xb4ca8c2f, 0x5c2195dd,
+    0x8ff28776, 0x2c4e3ad2, 0x5757adb3, 0xb2f6b504, 0xb9cb5a88, 0x59df9fd6, 0xb62e581c, 0x1218141f,
+    0x3a7a2229, 0xcb497aaf, 0xaed998fa, 0x547e777b, 0xe1e512a0, 0x00ee4049, 0x15e68050, 0x153bb47a,
+    0xe1fad3c6, 0xa9facb74, 0xab065257, 0xe5da03e2, 0x26082424, 0xb000b889, 0x8b27db62, 0xed168391,
+    0xc385e0ef, 0x616d8f94, 0xa893d024, 0x0bdaf86d, 0xd1ff6f24, 0xd205b311, 0xa3563972, 0x41b85990,
+    0x81884298, 0x101fe907, 0x30fb6802, 0x4c9497fd, 0x0d212178, 0xe81c51e0, 0xaf41e415, 0x72ef38bc,
+    0x3d54d6d5, 0x302ddc51, 0xfc69a364, 0x242d4d12, 0x908030fd, 0xac6c50ee, 0x4d49db73, 0xa969434e,
+    0x89c9b4ed, 0x7b2a2121, 0x2b4e0607, 0x1b4af405, 0x1dee0674, 0xb2ff821b, 0x2cf033ea, 0x8a757fb0,
+    0x1a36ff16, 0xf37d531f, 0xa4109b7f, 0x39c698bf, 0xa25db35a, 0xdee4d03d, 0xf4434176, 0x39c5fef5,
+    0xbeedf47e, 0xf1f4de2b, 0x40cc1ac2, 0x29f96316, 0xdb16a5f7, 0x2670bb4d, 0x0996ee5c, 0x67bf9527,
+    0x4522bdb3, 0x8a138cb0, 0xcc02dfbe, 0x35993e94, 0xaa4c3cbf, 0xf7e469af, 0x0fcbf040, 0x34e804b7,
+    0x78a12575, 0xb30fad01, 0xab7840ab, 0x66369cbb, 0x534e1e9d, 0xa0f806a6, 0x4a940c28, 0x898f811d,
+    0xb172b2dc, 0xb3d26a4f, 0x78734788, 0x9506ebad, 0xbe214587, 0x47780393, 0xa53e8949, 0xa0144963,
+    0x753febbd, 0x80fd6d97, 0x9f391ce9, 0x574a1d3f, 0xeaa8bfc0, 0xd7a701f4, 0x442b143d, 0xb8803dc7,
+    0xafea3e41, 0x8625899b, 0xa52d80ca, 0x47a6f805, 0x46bd1982, 0x85006a5c, 0xe7260ec9, 0x7e00cb9e,
+    0x15fe6ec1, 0x298b828c, 0xc6b5af1f, 0x5781d006, 0x898dc722, 0x51cededf, 0xce0e26ab, 0x6aeccec3,
+    0x52b6ef22, 0xe7bc85a6, 0x533d87fa, 0x0935b6a0, 0x0d45c6b5, 0xddd7651a, 0x6809139b, 0x4b6ae0db,
+    0x927c77ac, 0x52277dcb, 0x946c1c62, 0x0114e6c7, 0x8453dd82, 0x44de84b7, 0x0a68a555, 0x3ceac0e9,
+    0x42ebe3cb, 0xa93a1844, 0xeab382ef, 0xf27e2e4a, 0x34e85539, 0x2837e96c, 0xf143afc9, 0x333010e3,
+    0x491d6acf, 0x4ead6af3, 0x59652b2f, 0xfeddca0e, 0x2c89086b, 0x9e4c75d0, 0x636628ac, 0x38fa9c4a,
+    0x705b5ff1, 0x767bbd6c, 0xd440de6e, 0x4e4b65fc, 0x0f8a859c, 0xf3e20b33, 0xf01e05cb, 0x75d3c4fd,
+    0xd47af5aa, 0xd07171d5, 0x954d106c, 0x03d7f48e, 0xaf0bd97c, 0x46771ad8, 0xf30b9d53, 0x86a1c678,
+    0x0f0dff36, 0x06bec118, 0x93095a19, 0x4580354e, 0x9b902ecb, 0x5ca7e15c, 0xb59674b1, 0x87dc0c5e,
+    0x663119f5, 0x1ac0c918, 0x2d8a20c9, 0xa90ede72, 0xccfc9973, 0x3133aa04, 0x9d8165dc, 0x012e4da0,
+    0xd885b084, 0xb9685468, 0xc09ba047, 0x17359593, 0x44d4b87d, 0x02cf245f, 0xe31795be, 0xc2e03cfc,
+    0x9c111818, 0x199efd4f, 0xf5887ce4, 0xd79890c1, 0x038f13b3, 0xcadb3f2c, 0xa9bb59e7, 0xc8a7a37e,
+    0x803a84d6, 0x7939dc10, 0xf9d46ce7, 0xf89f13cd, 0xf1df2a4f, 0x50a320d3, 0xdf8c4940, 0x880cf090,
+    0x66e170a9, 0xbb8c29c0, 0xde8c7ce3, 0x9be1ec99, 0xfb7dd346, 0xea3d21a6, 0x56b2ef6a, 0x0d06c874,
+    0xb7d69dca, 0x7378ecf0, 0xa06d8dfc, 0x0c50a296, 0xc0329a2e, 0xeb52e7c8, 0xbd4baf6b, 0xc9b77ac5,
+    0x15b8f189, 0x37821234, 0x16178ce2, 0x13c6807b, 0x0fe1485b, 0xf1e20eec, 0xcfe5fb83, 0xf9a6af05,
+    0x99c5d064, 0x12091020, 0x6c12471d, 0xf93f21e1, 0x9509b714, 0x29a77a27, 0xb3214f6b, 0x5840eb99,
+    0x5d902cae, 0x106f62bb, 0x2e3b4c14, 0x9ed5c3ce, 0xc0ce1222, 0xdb5cc926, 0x890b214f, 0x27040399,
+    0x4d43ecfb, 0x8ed411c2, 0x44d9c2c4, 0xa304998f, 0xf7e9e520, 0x5d9871a5, 0x29e68bed, 0x49513625,
+    0xb8313a1d, 0xf64d8452, 0x3334a864, 0x937249de, 0x1882f99b, 0x14502a81, 0x1ba3b0b2, 0xf416ba6f,
+    0x5ae7910c, 0xa11ffe24, 0xf5f993e4, 0xead0e099, 0xc4ee03c1, 0x6f3d5f5f, 0x61d43ba4, 0xcd57f40f,
+    0x3a10e3f2, 0x42dd379c, 0x9928b864, 0x3aef92d7, 0x860dd70b, 0xccf651f1, 0x771e8c97, 0x970f2ec0,
+    0x66692b76, 0xa121968a, 0x8d3b6f65, 0xf8a39299, 0x2e08311f, 0x1b7a5b8a, 0xac7cc64b, 0xe26d6829,
+    0x6a436d08, 0xc2d3795f, 0xe7c4d974, 0xa95f68de, 0xb168fde5, 0xd078bfc5, 0x0a97c45d, 0x35ffcd04,
+    0x5853673f, 0xaf839602, 0xd2021675, 0x0effcdb5, 0xbca25034, 0x6fabba47, 0xa61f93a3, 0xd6da53a4,
+    0xcdbf7f6b, 0x74010b7f, 0xb5813317, 0x1ac880f6, 0x2bed7172, 0x5185541f, 0x1c36f9b1, 0x5b3bc026,
+    0x44645eaa, 0xee408d4e, 0xdb3e0712, 0x042a5276, 0xa8308b80, 0xc6cabc3f, 0x569c8883, 0x20ede680,
+    0xef057444, 0x68db598d, 0xc1bae7fd, 0x1ea985a6, 0xda43546d, 0x11b10a3f, 0x7328b327, 0xed9c7c1b,
+    0x195b35d9, 0xb937a100, 0x52e0f024, 0x9d5df803, 0x83237ad1, 0xb75aebb0, 0x77a1176c, 0x095506d0,
+    0xc63dfde4, 0xb5a82bc4, 0x1ebbb2d6, 0x0bd700ed, 0xa21aa383, 0x6cc41258, 0x62499f54, 0x806029e2,
+    0xe374430d, 0x716d3c71, 0x179dccd2, 0x75e723fb, 0xfc03fee6, 0xc96d477b, 0xc5321da5, 0x8c5aade7,
+    0x201c3d03, 0x09581f1f, 0xb838a949, 0x038f1a6c, 0xe349b0ef, 0xe6094b05, 0x532d5803, 0x63b923d6,
+    0x68a19567, 0xc8bd9849, 0xd5e5cccb, 0x56e96902, 0x764e9298, 0x7e41ec17, 0xa88441e6, 0x0ace2447,
+    0xfb8d317c, 0x83626d2d, 0x0a75bf15, 0xbf825f7f, 0x905ef144, 0x73c7a51b, 0xf537a39c, 0x6b62623e,
+    0x1b008b53, 0xfe3d3355, 0x1efdda76, 0xa42bb64c, 0x4308c9d8, 0x6594f5ed, 0xdb7946db, 0x98526abd,
+    0x7dbe49da, 0x97920bf9, 0xedb771ff, 0x9c833dfb, 0x780a2d4e, 0xa2164514, 0xdbc2c4e2, 0x95921fd6,
+    0x13bd668f, 0xbcb70ce3, 0x194f8ae3, 0xb9fb036d, 0xa5d04ef1, 0xd3cfad94, 0x8d4effab, 0x92edd40b,
+    0x31d8ea82, 0xeb71745e, 0xb6765368, 0xc1b7a5e2, 0x020b975f, 0xb599fa79, 0x18e8b9c2, 0x1b280d1f,
+    0xc217cf98, 0x33e7c1da, 0x9126bf43, 0xd0f7e953, 0x013aac49, 0x53265fc5, 0xdc426a45, 0x039713bb,
+    0x1c5070bb, 0x8172568b, 0x4ef22004, 0x6001b4e1, 0x5c71e059, 0xf5839d16, 0x18432360, 0x3616d2bd,
+    0x1202d2aa, 0x57f01563, 0x431ff7ca, 0x1ab9c422, 0x36df90d8, 0xa3c6c7eb, 0xe3d4cb35, 0xfdce3e11,
+    0x81cae0a4, 0x97f015c1, 0x06f73a95, 0xfa06e872, 0x663e0d95, 0x9c0ee2df, 0x5e5d8b09, 0x49df870f,
+    0x1a5fbb36, 0xf5888d67, 0xba65738f, 0x2655dcea, 0x78c7f857, 0xc24d1b9e, 0x375bbe2a, 0x3114e116,
+    0x52da4f40, 0x30cc473c, 0xd0e956a6, 0x260aceb6, 0xc4563357, 0x37c0d13e, 0x92785df4, 0x5085e24c,
+    0xef5e917b, 0x64419cdf, 0x13246c7c, 0x83424cd7, 0x667936f1, 0x0b30ec2d, 0x88e865d4, 0x9d5ccb5a,
+    0x718015a3, 0x81565f6e, 0xd9682f6d, 0xb0f2772d, 0x8eb3eed0, 0xd14cb56c, 0xde23f75a, 0x4ef83741,
+    0x19081147, 0xff0b534b, 0x48054f2a, 0xbba14283, 0xe4bca844, 0x6af1c990, 0xde37c0e1, 0xbba4b1f7,
+    0xc0b621ef, 0x18fa73b3, 0xa4943475, 0x3d5eb887, 0xadffc9c5, 0xb692011d, 0x79b5fe54, 0x3c58552d,
+    0xcf8dc19e, 0x723adb64, 0xa6d539be, 0x371d7796, 0xe3087730, 0x2e5acd81, 0x4e4a1fe0, 0x2efe6945,
+    0xad09de5f, 0xd20c8ced, 0x1a3abd83, 0x7151d876, 0x823018f7, 0xcc6461bc, 0xcf0c0500, 0x96fda592,
+    0x5130273e, 0x2c1a1828, 0xb61ab92c, 0x26a123fd, 0x89f28b6f, 0x431156eb, 0x2dd6b8b7, 0xd3cf71d8,
+    0xef88e918, 0x10f99353, 0x7e459810, 0x0dbf67bf, 0x9b705e21, 0x2f20a221, 0x0bde56b2, 0x46ae2847,
+    0x56ba8384, 0x7f7936a7, 0xdf6c280e, 0xb6f6dca3, 0x52af2c02, 0xb3272de8, 0x582b81c2, 0xb45e26ab,
+    0x657f700b, 0x0b5bdf60, 0x059a343e, 0x63991045, 0xd7b4a32b, 0x359973b8, 0xca6ce671, 0x92277783,
+    0x972ee498, 0x1f68e240, 0x06f4f58d, 0x161339b0, 0x02745d51, 0x712550ca, 0x59c41841, 0x804d1d8b,
+    0xf5990e47, 0x97887a27, 0x1978610f, 0x1c079398, 0x4549a803, 0xe89ce95f, 0xa20b5434, 0xa6b8c5b5,
+    0x788c9469, 0xb7c5972d, 0x3bae29b6, 0xa43581f5, 0x4334b679, 0x64de0197, 0xe83b5e09, 0x9cfe28bb,
+    0xaeb95951, 0xe769f00f, 0x9da0999b, 0x74cf0abf, 0x8746d1b5, 0x8a5ae136, 0xe7a9f0db, 0xf3bd620c,
+    0x6e2b79a8, 0x81924b83, 0x12b14b4b, 0xd5671902, 0x95888aa4, 0x97c5da99, 0x161959b1, 0x13c5035d,
+    0x9199c1ca, 0x59593a4c, 0xb33f11cb, 0xa2cbd89c, 0x077fe673, 0xdca01f22, 0xd3e09cdf, 0x1a450948,
+    0x21c8f6a8, 0x7d1b9999, 0xb4253d55, 0x796f3796, 0x33bc6e57, 0x869545d3, 0xff8fee75, 0x9faa2079,
+    0x73df49d2, 0x40b33af1, 0x34ca39a1, 0xc174bb06, 0xf6f8e0ed, 0xac5e5aaa, 0x3d9865ac, 0x969c1b63,
+    0x17871c03, 0xda615e2f, 0x7f2e1959, 0xa2665294, 0x0c72d2a7, 0x42fc1f6f, 0x4c36c3ea, 0xcad4aec1,
+    0xef0443f1, 0xe1651e74, 0xf1d668b3, 0x1a9b369e, 0x3de4b5ff, 0x7e9aa8e2, 0xc4ad6283, 0x2e753224,
+    0xcd3df32f, 0x94819863, 0x58b4f008, 0x09af0c84, 0x0c76cec4, 0x0aaa9fe4, 0x21309637, 0x57528666,
+    0x48624575, 0x4bd8edde, 0x963ce232, 0x71dc1093, 0x72ca7f2a, 0x9167cd52, 0xd8da0a9e, 0x0e23c8d9,
+    0xa5ded3b9, 0x67566214, 0x45a75793, 0xe2cf9544, 0xf5ca912c, 0x028ee981, 0xafe39935, 0x64fa4c30,
+    0xe4589b6f, 0xe462c0b9, 0x470fc749, 0x80aa3aa9, 0x158f2dc6, 0x3ee5400b, 0x685073bc, 0xf1b1ba3f,
+    0x8d515485, 0xff96f93e, 0x07b882f1, 0xbc360d8e, 0x6eb5a633, 0x9cdaa6ff, 0x29b26e19, 0x935792e5,
+    0x5b2767dd, 0xbdb30e7a, 0xd3b01989, 0x6bd6fa2a, 0xcfd35682, 0xc04adadf, 0xf8d24591, 0x6c222df1,
+    0x87727e05, 0xc7fcc406, 0x4feb3da9, 0xbce188b6, 0x54f8a615, 0xf8cfb738, 0x08e5c241, 0x548387d2,
+    0x059e6453, 0x40f6c319, 0xb69e1584, 0xeba37d75, 0x0235d5d5, 0x8529254a, 0x4daec3da, 0x5fd6a5dd,
+    0x2cabf099, 0x8012677b, 0x2980804f, 0xc84a7d50, 0xd731635b, 0xea0c383c, 0x42fe5634, 0xb4245ba1,
+    0xea010f38, 0x617f171c, 0x1fcc1981, 0xc9802fad, 0x7f1b0592, 0xc7f49bc2, 0x3450f879, 0xdd3633c9,
+    0x1864ed44, 0x9e00cfee, 0xf4157520, 0x178ece9d, 0x4eac1983, 0xb0fe80e3, 0x70bc415b, 0x7a7f9468,
+    0x12f979e8, 0xd9fa71e6, 0xdfc4a524, 0x1aeafb0f, 0x039ec5a9, 0xa5e2cb55, 0x53250668, 0x556ca97d,
+    0xeb777071, 0x5aad44c4, 0xe2074dd8, 0xee47f63b, 0xbbbf31cc, 0xfc4398f7, 0xc661549b, 0x1c4b74f0,
+    0x37bc3fff, 0xede1e169, 0xd2cf5662, 0x80aace60, 0x610b8035, 0x9188ce80, 0xeee9e2d3, 0xaa15fdb1,
+    0xee57badb, 0x89715a45, 0x6dad196a, 0xa7fa52c1, 0xb4e90753, 0xbfbed4b9, 0x362693b4, 0x4ceddc0b,
+    0x4bb46c55, 0x2b78218b, 0xc306c365, 0x3b1d758d, 0x28b0d292, 0x9946a335, 0x086a904e, 0x30db8e54,
+    0x965fff96, 0x466f50e0, 0x0698b33e, 0x2603173b, 0x39a7a533, 0x44d1d5c6, 0xe7b293ce, 0x5060d009,
+    0x82c3d76c, 0xea83b9d8, 0xe5b08cc8, 0x90e78772, 0x7f7b05da, 0xf1bb3923, 0x6d7dd5f5, 0x153e7a49,
+    0x6ae25b9c, 0xfbf21484, 0xddb9cf01, 0x609b97d1, 0x80b44e2d, 0x9b9ad01f, 0x5c2fe9e5, 0xe5d726d2,
+    0x6c82b909, 0x8deead6d, 0xffb3a3da, 0x152b15e1, 0x9b3b9512, 0xbe42b7cf, 0xf1ebf013, 0xd0eadbaa,
+    0x505fdd76, 0x2fcd3991, 0x85930a49, 0x6799209b, 0xeb001367, 0x7c25d6d4, 0x87fad330, 0x646b922d,
+    0xbe963da7, 0x8b7390db, 0x0aa9eef8, 0x1173b01b, 0xb4f38b6a, 0x197776af, 0xf7fa1192, 0xd11a2b9b,
+    0x2fdf5815, 0x64c72856, 0x445073cb, 0x29b521e8, 0xe432ce89, 0xf7cae6df, 0x0e6e9107, 0x7f651fe8,
+    0x97a5a6ea, 0x7e640bb7, 0x480d6459, 0x9951ae39, 0x5143b54d, 0xd54e4f57, 0x55ba5807, 0x06ffc53d,
+    0x9f622748, 0x00130b45, 0xa6dade60, 0xc635a2ce, 0x6f41077c, 0xe9527fb5, 0xb9abc01a, 0x603c4e9b,
+    0xf8a3e58a, 0x0496e08c, 0x54d5c65b, 0x6d17f4d1, 0x7362ffa7, 0x24f0abe3, 0x3495083b, 0x31c7ffef,
+    0x36829791, 0x9b97bd30, 0x7175080e, 0x7e0a0d9c, 0x0d758f02, 0x3b5a5e8b, 0x2cf8d754, 0x49790d38,
+    0x6c0a99bd, 0xdf5ce1bc, 0xe241c122, 0xa1e846a3, 0x661aa39e, 0xd3d45b51, 0x262b8d63, 0xc1aeaa02,
+    0xb4812c55, 0x1c982280, 0x6dd6fec4, 0xa679df4b, 0x4baaebc6, 0x76a57e24, 0x33dc8b35, 0x572aaadf,
+    0x599a2d3a, 0x5663f69c, 0xfeb82875, 0xaf6b8b3c, 0x7b87b95c, 0x7364a53d, 0x11303fc9, 0x8c2e34f1,
+    0x0fb97c72, 0x4b899654, 0x82191c31, 0xfa4d8b62, 0x5073c6a6, 0xcdc58ac3, 0x745ad6eb, 0x8c5f2559,
+    0xb3abe55c, 0x4341030f, 0x2414b357, 0xd2c94740, 0x2a076424, 0x6225c7e6, 0xdb10beac, 0xc63fae19,
+    0x5abbc22f, 0x7a1bc89b, 0x544cff23, 0x5a67e0f5, 0x627a1697, 0x50d46f67, 0x4a44e19c, 0xa60c7000,
+    0x2440a264, 0x1b9c19e8, 0xb464b665, 0x686d62af, 0xd72eba16, 0xfeb2ad57, 0xc19c3d93, 0xc42e6222,
+    0x5119af90, 0x33c26c4e, 0x44f9e080, 0x6bce6800, 0x6bbeeb30, 0xdf268981, 0xa498057a, 0x39b51ec8,
+    0x69adb281, 0x99c4af06, 0x42e7e977, 0x1c5806a1, 0xc79ce39a, 0xa6a7a0bc, 0x23b2db35, 0x56ff0add,
+    0xc1256de9, 0xa41db86f, 0x4cc7f214, 0x7e6742d4, 0x37b1568f, 0xf51927fc, 0xdf090310, 0x7e258b7d,
+    0x4fc1ca58, 0x7617969c, 0x3432c8fe, 0x4c3c7081, 0xd82a5e5a, 0x1f328f4d, 0x20895c10, 0xe071d684,
+    0xf8727cd7, 0x34937acf, 0x66014dc1, 0x82776a75, 0x6d214dbe, 0xb26d40ac, 0xf7d60d18, 0x6a62adae,
+    0x79d0c85c, 0x10992f2f, 0xdb19d924, 0x6685c888, 0x8c91f02e, 0x74959f6e, 0x94488103, 0x7901bfd3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000392318858461667547739736838950479151006397215279002157056 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abf, 0xc6f675a8,
+    0x00000000,
+    0xe226ec23, 0x533b747e, 0x098b1e0c, 0x23b3a816, 0x073f06ff, 0x6062b978, 0x085c6c24, 0x9b906543,
+    0xd1534835, 0xc473b764, 0x30fd40c9, 0x74ed8b83, 0xc15121d4, 0xfed23fff, 0x1a5ca11d, 0xbd6ab232,
+    0x4c18227c, 0x05c1dea1, 0x3f4aa8d7, 0xdcb0f06d, 0x95bd4fce, 0xf2d9b5f8, 0x354ae822, 0xa9df8738,
+    0xfff57530, 0xfe40c27d, 0x96835720, 0x60cd30ab, 0x8bd9a7bf, 0x90ee6022, 0xe4d3cf7e, 0x23e349b7,
+    0x5f69f13b, 0x0060c49b, 0x701bfaa6, 0xf9c38946, 0x6f843d84, 0x04c5bd86, 0x8584c2cf, 0xe825c7f0,
+    0x6ebdc16f, 0xd8d8cd54, 0x57626c37, 0x303feb61, 0x52fdbc91, 0xf7d9d71d, 0xe14414f8, 0xc128578d,
+    0x72c341ea, 0x9980d746, 0xd21f8ef1, 0x1d4fffdb, 0xcb766430, 0xaa35c58b, 0xec3247e6, 0x260826a1,
+    0xcad6cc77, 0x27d4ef61, 0x8b21b5f3, 0x1f11743f, 0x743c65d8, 0x5d6486dd, 0xd7b55e46, 0xfa78d3d1,
+    0x3ee45c3a, 0x4d2c6d4a, 0x9af106ee, 0xaad61475, 0xf112dd7e, 0x155b719e, 0xf83ba689, 0x3ffed0b3,
+    0xa15520aa, 0x5d49f299, 0xf46d5a5c, 0x8bf22b90, 0x86cd5f87, 0x96f04630, 0xd152e59a, 0x61259a18,
+    0xe421e244, 0x3c21abbc, 0x7da20ef1, 0x5e9bfa71, 0x891323e1, 0xd04ceccf, 0x60a11369, 0xe406e96b,
+    0x808c29e5, 0x2edac950, 0xc749676a, 0x2a567714, 0x04dd6ba6, 0xf1fe1c17, 0xb094433d, 0x2fcf9d28,
+    0x03592642, 0xb363b64b, 0xffddf19a, 0xec01a31f, 0x9e0181ac, 0x761b1cc4, 0xc1a9f2b4, 0x843b877f,
+    0xfcab0df5, 0x099fc02e, 0x39a5e29d, 0xd95dfba9, 0x64655554, 0xf63b4f89, 0x3e1ed0d4, 0x8a281fba,
+    0x9335b3af, 0x4dcfa68b, 0xb262c09d, 0xdabdfad1, 0x6c0b99db, 0xc82ba55b, 0xaf7bcfb9, 0x0c04bbc0,
+    0xd8441cde, 0x509c7366, 0x2c9341f6, 0x35f675c3, 0xa1a2c34b, 0x21a91976, 0xb1fb4cdc, 0x58cd74ee,
+    0xfb1afd2b, 0x7a6a9772, 0xa37e292d, 0x140a96f2, 0x89e7b8dd, 0x681c55eb, 0x6f6493ee, 0x738acc3f,
+    0xd2539872, 0xa77e1ba6, 0x24d1f3c9, 0xba3b3b42, 0xadfd2c8c, 0x43ef9f87, 0x4f500d13, 0xae534abb,
+    0xaeca0162, 0xccea1987, 0x8d18f2df, 0x9caf0b33, 0x31a6025d, 0x7ae7a481, 0x8d70f719, 0xde72f957,
+    0xa034a0db, 0x3a80b7b8, 0xad17602c, 0x55690999, 0xc27d155f, 0xffe2bc46, 0x36909e8d, 0x2be46889,
+    0xd43623dd, 0xe71fbfc7, 0x6bae17ed, 0x148323f2, 0xd73076e4, 0xdc0daaac, 0x9d5d5d28, 0xd6275141,
+    0xd16d4b4b, 0x2e506e1a, 0x02abca49, 0x97008127, 0xf8dd06be, 0x0b5ab6f3, 0x3b218cd4, 0xa0f27c20,
+    0xdcba1191, 0xa63eebee, 0xe4c96f16, 0xeb44b92d, 0xe50c6887, 0x73341fcd, 0xae35036c, 0xb8938bf6,
+    0xd72fbba4, 0xc862a923, 0xb2923122, 0x1e5f8831, 0x4ed5ca92, 0xd0d24ba1, 0xa27cbfd1, 0x7c9501f4,
+    0x92648441, 0xaaf501c4, 0x93530311, 0x359047c3, 0x4f61d3fe, 0x8ec9567c, 0x7cf72802, 0x22630a42,
+    0x633e92e1, 0x57b116a8, 0xfaf4aa44, 0xcae3095e, 0x93394e7e, 0x61ea025b, 0x0bdc0dce, 0x89d077b1,
+    0x1f320cfc, 0xcb1c5287, 0xb5247e00, 0xfb757f76, 0x9e7d00ec, 0xb6d329e6, 0x827add5a, 0x13fb1669,
+    0x80c2f41d, 0xef7bd10f, 0x9a32f63c, 0xac76dd0d, 0x2b3ed01b, 0x7f3b3647, 0x3d1b2f66, 0x412d191c,
+    0x83e60308, 0xd88363df, 0x20145aab, 0x68be674d, 0x71f8dfcd, 0xe3d7d7c2, 0x62472dfa, 0xc0aff3f9,
+    0x62c8382d, 0xdea04b63, 0x8880c8c6, 0x34b420cf, 0xbca1fc75, 0x63d2afff, 0x8f02db89, 0x0014b6ee,
+    0x87685929, 0xac55c6ac, 0xc49fd67f, 0x8f28712a, 0x7a16297b, 0x06c5e4ee, 0xdceb50fe, 0x2c419166,
+    0x2445973b, 0xc0456276, 0x8f7b4e75, 0xcdcfd609, 0x578f85b6, 0x56a843c2, 0x7ed33d56, 0x64e991db,
+    0x7baf1407, 0x518a77dc, 0x03e1eb44, 0xfe8d3e44, 0xff37cd26, 0x3783ab77, 0x338730fe, 0x9b64aaf9,
+    0xf530ebd1, 0xc59c5081, 0x812980b0, 0xf39ec506, 0x366d81bc, 0x44707467, 0x1c20a492, 0x34a6b04a,
+    0x8b6205b6, 0x86a6bc51, 0xc3962af2, 0xc264d853, 0xd928cf16, 0x3ac395b3, 0x9f21158f, 0xbd4b2beb,
+    0x840f4d2a, 0xab587783, 0x6143d8de, 0x881a10bd, 0xc20aef5b, 0x5ea57a44, 0xf0fddfd3, 0x4e9f4754,
+    0x316dd941, 0x3a43389e, 0xd116a81d, 0x858ae765, 0x792d1932, 0x7d89d325, 0x9da7ffa4, 0xc7e9276b,
+    0x330f4462, 0x7496a9c7, 0x164c4874, 0xe539b087, 0xb03ee3ee, 0xca16fb05, 0x8e0b2f33, 0x19e39233,
+    0x9945fe15, 0xfcc1074c, 0x3e29c190, 0x6ca5aff4, 0x74764422, 0xed3c7b63, 0x0566a461, 0x0e541798,
+    0x4b62229b, 0xeee593ca, 0x66bd7299, 0xe890b05f, 0x0c0afdc9, 0x981ef77c, 0x3aaaa7d2, 0xd69f3b5d,
+    0x2492b46b, 0xfdafc42b, 0xe7e89d86, 0x8b144eed, 0x56c798c2, 0x8288c274, 0x61af8679, 0xc2c2b264,
+    0xd1909d70, 0xe101b343, 0x311f6c36, 0x75750cf5, 0x1ae25f57, 0xa601d597, 0x32efd3b3, 0x4a9fbbd4,
+    0xea1e37b8, 0x64f61de9, 0xec07c368, 0xa0b6014a, 0x283075ac, 0xa09de74f, 0x61958c2a, 0x9ed2a141,
+    0xad219c5c, 0xd9990225, 0x7cc90080, 0xfc2c0c3e, 0x87d1c616, 0x67c2f120, 0x7048fbea, 0xb5ab623a,
+    0x6cae3d7e, 0xfc52316c, 0xcf77dcc1, 0x017d3f58, 0x5bf716d1, 0x5881704c, 0x0a0c8255, 0x06e45668,
+    0x00180b08, 0xfd63ec78, 0x55f77e9a, 0x976db13b, 0x4216d723, 0x549703c2, 0x30e676de, 0xb805e13a,
+    0x75c4effe, 0x0666624d, 0x055dddcb, 0x577518a9, 0x02b98d0c, 0xf0434b0e, 0x1844db87, 0x4fb5c8a1,
+    0x65191d9f, 0xa2a7b1ed, 0x333f8f53, 0x6f29f49e, 0xec760564, 0xd37407bc, 0xfd0ac4f9, 0x1f8a94a3,
+    0x0ee80cc0, 0x3d20740e, 0xf8c4f660, 0x6316ec21, 0x100f0240, 0xcceb2486, 0xec06e8de, 0xc74ce5b2,
+    0x8f70d918, 0x181e8773, 0x988c1f06, 0x536c8f6f, 0xd4f5ed59, 0xfcfaad20, 0x36263b27, 0x1db93ae1,
+    0x4ed5d47b, 0xea72caf4, 0xcee9a165, 0x6747e27a, 0x0ca11ee5, 0x9cc96fc6, 0xda1e7cf4, 0x468775ff,
+    0x4e9901c1, 0xbf8b6f83, 0x5a65e42b, 0x28c2c816, 0xbc175f09, 0xa22038e9, 0xa296c486, 0xcf289f78,
+    0x20bd0bd5, 0x9dcaaa14, 0x57e3a383, 0xd564b0d7, 0xac651db7, 0xfed2aaa3, 0xa32e6d0e, 0xc2a925db,
+    0x60e65181, 0xb6a10329, 0x1f6481a0, 0x33dd5f54, 0xfd429e55, 0x135720c0, 0xc30a78b5, 0xea3ff415,
+    0x517f1315, 0x4f35100a, 0x0dc86075, 0xa3fe6510, 0x7acec7ff, 0xd3a10909, 0xfb4ad5a9, 0xf9c03cb1,
+    0x31ca25aa, 0xe699e70a, 0xd2091b6a, 0x0826aad5, 0xb875b541, 0xac31eee1, 0xa29d33dc, 0xebe41a99,
+    0x59143370, 0x4e4eabfa, 0xe056e08e, 0x23702e44, 0xe9707012, 0x83eea5bd, 0x098183dd, 0x52cc4b34,
+    0x45bc092a, 0x7f9a3a4e, 0xbd4fc598, 0xb3c80d58, 0x8b6bbd15, 0x794c876b, 0xf211083e, 0x1ed2c407,
+    0x500b8feb, 0xd0b62e76, 0x562c0b1d, 0xf7842869, 0x172ce462, 0x62373e88, 0x05bf6299, 0xe47d13e6,
+    0x1ecd24a1, 0x5bd7ee7a, 0x0bb74eec, 0x5ee9434c, 0x6537f838, 0x4ba05e06, 0x0abfe7cd, 0xb1dc96db,
+    0xb4275713, 0xaed2dbab, 0x3c76f014, 0x7324bf8c, 0x83715dae, 0xd43b2f1d, 0x97db9d3f, 0x04361024,
+    0x226f08cd, 0x9545522f, 0x9307a444, 0x7cd4a328, 0xf2c832f4, 0xfece75ad, 0xd8b6c7ed, 0xef253d75,
+    0x65dbc28c, 0xcfe37573, 0x3d34660e, 0x5881529a, 0xa522a089, 0x6189612a, 0x4a594796, 0x1a68c1a2,
+    0xd99dfe88, 0x0da65fe5, 0x9de8a329, 0xfa3c0c72, 0x9bf6ee33, 0xed4d6b35, 0xa33af8e1, 0x260ed6a3,
+    0xa723bcc0, 0x8193fdf4, 0x31c892d0, 0x2cde6df2, 0x080351a2, 0x1cd07988, 0xf42ed87f, 0x6fc9c202,
+    0x8b61010b, 0xadde5895, 0xe280365f, 0x916c0476, 0xae785e5c, 0x69b13350, 0xe3e2785e, 0x6e8f5ad1,
+    0x79d6663b, 0xafbe8602, 0x6456addd, 0xb4decc27, 0x64f7d372, 0x83a50765, 0xbaaf62de, 0x0b7db75d,
+    0xe228aa5c, 0xfb9307ae, 0x1d1440ac, 0xa96eda84, 0x5e41c591, 0x979eacad, 0x90a00344, 0x9cfdda61,
+    0x6a749db9, 0x9419d5d5, 0x6f6a0258, 0x91ee833c, 0x4329bada, 0x6ce8eddf, 0x9aafea69, 0xf189a521,
+    0xf30cba53, 0xa9f32707, 0x585dcacb, 0x8345910e, 0xbbcc9423, 0xfb603a40, 0xe3994940, 0x1b8aa862,
+    0xdcb8288d, 0x400d70b1, 0xb60b2d00, 0x3411a68e, 0x9d9209c5, 0x2a6dace7, 0xdd162827, 0x001a640b,
+    0x929cf857, 0x0d776580, 0xd604aea4, 0x583d906e, 0xe64d13b7, 0x84888d24, 0x462ec9b3, 0x3635f6a9,
+    0x6bca8c1c, 0x600455c8, 0x22131b3c, 0x0db3b836, 0x71e93ffa, 0x19d276e1, 0x38653273, 0x1371c01f,
+    0x686b4ea9, 0xd7697c01, 0xebfa6a08, 0x03ba1cf5, 0x1681d7fb, 0x6da5089a, 0x9c2d88e8, 0x767bcf15,
+    0xe3850816, 0x7673e838, 0xfd863a9b, 0xf9a2d6c8, 0x16f2b05d, 0x99b6d456, 0x927eb13d, 0xe533409a,
+    0x371fe23f, 0x2b7a37a9, 0xf50658b6, 0x787cf517, 0xed8591b3, 0x5d296c21, 0x4b7d49ea, 0x6779a418,
+    0xc77cc795, 0xf54c0a75, 0xd8d26514, 0x27427031, 0xbe1c5d61, 0x66747b94, 0x30cae898, 0x1ffe1587,
+    0x8ba6a33a, 0x68732d16, 0x5f2584d0, 0xe32dfca5, 0x7971c04c, 0x896f85de, 0x88a9e689, 0x1e92fcc5,
+    0x045bc44b, 0x2401149c, 0x3fc93bcc, 0xc78aad6a, 0xa5071577, 0xc398c47c, 0x29e712e8, 0xeb67efd0,
+    0x38326f9b, 0x749dbc0b, 0xd712858c, 0xfb9fbba7, 0xbaf784a4, 0x0733303c, 0x3d0c190e, 0xb3aa5603,
+    0x88dec300, 0xa1f3d76f, 0xaad3926f, 0xd82076bb, 0x21ff8456, 0x44ccaf73, 0xc8c346c5, 0x080c77c0,
+    0x4699ef06, 0xf0b69c23, 0xf4c6d943, 0x144427c0, 0x5f18e6cd, 0xdca35ee4, 0x72971276, 0x5c5fdbb9,
+    0x69c6cddf, 0x13349e6d, 0xf58f91f7, 0xb0a80d87, 0xe0b90ee7, 0x58ef5362, 0xf2959710, 0x285560f8,
+    0x660039dc, 0x1347453c, 0xba4cb08d, 0x1df483fd, 0xbc7bf6a7, 0x1735825e, 0x1a65e049, 0xf75f02f6,
+    0xc3604e15, 0xa479fbe0, 0x9d4e7169, 0x8f0c7218, 0x9456335f, 0x087dfdbc, 0x16266067, 0xde38c438,
+    0xa986cac2, 0xcc8099be, 0x1ea3f6cc, 0x1e5b8c10, 0xdec0fd46, 0x226faf5a, 0x235c4a9e, 0x83a3e23b,
+    0x9ca2e578, 0x54ced525, 0x010171b7, 0xa72b0be1, 0x3f77130e, 0x3914cfa4, 0xad888e91, 0x3c29029e,
+    0xd33f6c50, 0x760da2af, 0xabf1bcf8, 0x644a881d, 0xcf979f73, 0x0ed20361, 0xaf35869f, 0x69f3e079,
+    0xaa4e5a36, 0xc514ca2a, 0x5d96f84d, 0x78c31f0b, 0x5867c9f2, 0x88bae566, 0x8b4cdcdf, 0x3185349d,
+    0x1f44ff4d, 0x787743ba, 0xf2cdf7dc, 0xf6f2ce85, 0xeb56134e, 0x90628743, 0x35d44212, 0xe412b628,
+    0x1660f562, 0xd6479f93, 0x019c95bc, 0x89e1b17b, 0x491b7487, 0x3bc549f7, 0x95ff6af9, 0x8f344efe,
+    0x32f15ca1, 0x3ba00b4f, 0xef8272ba, 0xa2c77e33, 0x8d0a711c, 0x3708ef02, 0x698f0161, 0xe7008aa9,
+    0x213f4bd3, 0x5e159b9e, 0x980f62b6, 0x93b55d3c, 0x0816892f, 0xcb81e14d, 0x34169bc0, 0x745dcd9a,
+    0xbefda600, 0x40ff5e42, 0x616342c0, 0xf2605655, 0xbbc83c33, 0x477938ea, 0xb80fc41c, 0x04ca38fa,
+    0xee908f6d, 0x5f2a6318, 0xd6cb4d4b, 0x389de2d7, 0xee5df00f, 0xece77608, 0xcac5f710, 0xbb67dca5,
+    0x96d5dcc5, 0xe3eb5dd6, 0x6424cda4, 0xe5f86e2f, 0x24d7827e, 0xe0f6e128, 0x76ed4dcb, 0xe4349b55,
+    0x1a5461f4, 0xfc06e57f, 0xbae669c2, 0xe1304b57, 0xab42c500, 0xab3462db, 0x32cc91e7, 0x856efc8b,
+    0xd7f94c30, 0x82a49681, 0x2d26a798, 0x9019b5b1, 0xe9cee533, 0x7a7822d5, 0x1d006764, 0xea4fd07c,
+    0x6ead1d63, 0xb0486e20, 0x931d29f0, 0xbf18c39a, 0xd4b645d8, 0x659562e2, 0xbde7049c, 0x9d63ae45,
+    0xb404ed13, 0x66acab22, 0x04ac8ecb, 0x21bc8242, 0x66776fed, 0xcb1da3d9, 0xb9462106, 0x90073bc3,
+    0xf622f4fa, 0xa82a0676, 0x3fe3a089, 0x621ab029, 0x432e46fd, 0xfb7440db, 0x1ad12db2, 0x75f43cc4,
+    0x096696c4, 0x43b1eca2, 0x30e5d671, 0x4407a5f8, 0xf94fe758, 0xdcebe12c, 0x38c5756b, 0xffd29dc3,
+    0x9c2b8f95, 0xafe18961, 0x3b0283f2, 0xcaf5f427, 0x576341f4, 0x4ef35983, 0x57b77db6, 0xe4f899e1,
+    0x8fb571ab, 0x6900fb27, 0x5f8a137c, 0xae804191, 0x89d9347d, 0x8c6eb449, 0xbcc4fcd5, 0xe5e6609f,
+    0x12f0cd85, 0x735e7e32, 0x34220c88, 0xc75b7e99, 0xa35e025f, 0x702e04a7, 0xc894ffd5, 0x8606aa1a,
+    0x042de548, 0x293cae0b, 0x79df30ea, 0x6126e17b, 0xdf660434, 0xd0d4ef08, 0x15976b27, 0x784933e8,
+    0x6ce1ad8c, 0x79a810ec, 0xba66225c, 0xc796e777, 0xd8bdf23f, 0xdeefd2c6, 0x07c26623, 0x1511a562,
+    0x611bb17a, 0x33bdd081, 0x32dd368a, 0xa71927d9, 0x8b8734d3, 0x5c346cc8, 0x6e34e565, 0x88cec735,
+    0xcb5cf0ef, 0xbb9c2c50, 0xd117e073, 0x34261436, 0xd378f012, 0xdddf20ee, 0x53a04d8e, 0x1cacb99e,
+    0x048c92f2, 0xd6f0aac2, 0x6a3a168e, 0xf1ba9ea4, 0x21e02643, 0xd7282ced, 0x2d8117f5, 0xae663b7d,
+    0x2ae93a6a, 0xd3b44d9a, 0x2dda7207, 0x1dc0f750, 0xa27f1530, 0x0d25684b, 0x752ba072, 0x77e2575d,
+    0x47e6a9ec, 0x5ac3bd50, 0xb369e536, 0xf1d28315, 0xd1d085c4, 0x521cf23d, 0xb942b3ff, 0xa85bbc72,
+    0xe640f248, 0x70379518, 0xf2b3a9f5, 0xe6de1c63, 0x10b28119, 0x9d5cc1bf, 0xabc4c57d, 0x3518097e,
+    0x357e67b1, 0x6517fc24, 0x218ea6cd, 0x854f51f0, 0x8e05bec5, 0x458f2e91, 0x60634ad3, 0x7179835f,
+    0x40882a9f, 0xc5bcd28d, 0xe6c47b1b, 0x4fbdaa71, 0xdd9526b3, 0xea6d9c21, 0x9e8c02c8, 0xce943aa0,
+    0x6722c15f, 0xf7084902, 0x4aef9ddb, 0xa38215a4, 0x570d5f02, 0xa5257625, 0xed4bb225, 0xc69b8aa9,
+    0xa5e47ada, 0x85f01aae, 0x1ea41d21, 0x1b584360, 0x72160890, 0xe6d05cad, 0x43ad1b11, 0x0b46e08d,
+    0x2cbc1908, 0x69d243ba, 0xaeea019a, 0x9f0558f7, 0x8469cd38, 0x285759b1, 0xcd98971a, 0xe46d116a,
+    0xadd9fcc4, 0x89ef262c, 0x88ba1aaa, 0xa99b43e2, 0x5af2ff80, 0x163b5727, 0x87b1bcf5, 0x7f72bbc2,
+    0x076dabec, 0xb859fd6c, 0x1f0b4d0c, 0x14532891, 0xdef85fda, 0xe400804d, 0x6d4d505e, 0x772e65fb,
+    0x080e502a, 0xc8857c9d, 0x7db09a83, 0x584172ac, 0xb8ca45c8, 0x5b0a2527, 0x4e791611, 0x8c9597c1,
+    0xf4940e7e, 0xf66c5f62, 0x9b1be904, 0xcf97e9fa, 0x5eefa08a, 0xa6c5bd59, 0xd3851816, 0x89bcedb3,
+    0x35d56cba, 0x9b87ca88, 0x65bcfb99, 0xf7cfb461, 0xb65537a6, 0xa711936e, 0x9cdf5481, 0x91c468ad,
+    0x532c153d, 0xfb7039ae, 0x5d3d583d, 0x37a743c1, 0xd1330986, 0xae3654a8, 0xafb66b9b, 0xbc82d518,
+    0xd99f7e15, 0xc19737a1, 0xf688a3d0, 0xf42280e6, 0xdd263880, 0x29ad4fff, 0xe3659674, 0xfd2b53e7,
+    0x6cf3eb09, 0x0f491647, 0x9c5a5c33, 0x0d30f649, 0xf0389bfd, 0xc355863f, 0xcaca10dc, 0x7e295501,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000196159429230833773869868419475239575503198607639501078528 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55f, 0xe37b3ad3,
+    0x00000000,
+    0xf09d1754, 0x1bb3de89, 0xe721cb54, 0xc43f2e13, 0xe968cd43, 0x5dd8aedf, 0x5a461314, 0xff997322,
+    0x4a625236, 0x119b0fe5, 0x58ff1df3, 0xde58343d, 0x67acf504, 0x69f7bc89, 0xabe26505, 0x53003d7a,
+    0x78a022d7, 0x908be808, 0x0faabcf4, 0xa43c0daf, 0x68ae1576, 0xc1e71b92, 0x4de35695, 0xeb1ba363,
+    0xf8fb0de7, 0xaaa88e64, 0xf34425be, 0xfae6f1a3, 0xa6ef00bc, 0x01ea61f2, 0xcb6b0c90, 0x2c46313c,
+    0xb4b5a071, 0xdb497037, 0xb93b12a6, 0x2dfbd46a, 0x1bad6311, 0x11ebed10, 0xd6ac88eb, 0x715c217f,
+    0x075c9e85, 0xb7a3507a, 0x5e1af316, 0xb21dce8d, 0x667ce630, 0xd7e56322, 0x90f22237, 0x55a93ab7,
+    0x2591e21d, 0xb79fcc78, 0xa0658b7c, 0x0138c349, 0xa843a815, 0x29ce4893, 0xe18f6a84, 0x01444cb0,
+    0xfcc32efa, 0xb2fa761b, 0xbc5c393d, 0x0a4d9a27, 0x11514664, 0xe5fc013b, 0x6a93f8c5, 0xca66b355,
+    0x3cc290cf, 0xbd6aa3c6, 0x9890aca6, 0x7d75b588, 0x9cfcd7ed, 0x24307e66, 0x1742e84d, 0x5db74d54,
+    0xe690d99c, 0x03819ec9, 0x1ac9f952, 0x660aa10f, 0x3fe18e66, 0xd033dc50, 0x81fc568e, 0x15d4a75e,
+    0x430b730d, 0x946fb8d6, 0xd608457d, 0x6444630c, 0x9510376d, 0xea15fc66, 0xd35a143c, 0x23e5e6bb,
+    0xe651e68e, 0xedf9144d, 0xaa1760b6, 0x9fddc03a, 0xfb98bb46, 0xb21ac25e, 0x417c5f81, 0x6d051478,
+    0xefef3f56, 0x4a8ba7b5, 0x6964b72d, 0x188f0615, 0x661251a5, 0xc3b13a80, 0xdab202ec, 0x7e9e3ab9,
+    0x3b27ab59, 0x2473d8cd, 0xf3c4f4b2, 0x3a8f1170, 0xcbbd415a, 0x8b916b77, 0xf1d0ef91, 0x96cddeec,
+    0xbd68adb8, 0xb3241cf1, 0x637d9a26, 0xc9b8cde7, 0x498c9ce2, 0x7d021264, 0xe0536c91, 0xe0dcc3b5,
+    0x9527a2a3, 0xdd389b7d, 0x21d7b9e0, 0xc72c94d6, 0xd042d436, 0xf26c47b9, 0xbeff0daa, 0xc86da55c,
+    0xfaa8e7e0, 0x2f047bee, 0x8cddafd1, 0x830c3cca, 0xc183c43e, 0x0a287cf3, 0x7e72b0d1, 0x37e78fcf,
+    0x11334494, 0xb0e17c4b, 0x2304a3ab, 0x319f82be, 0x2af13f39, 0xb8f5a044, 0x40d06d4f, 0x4da52de6,
+    0x2685ec6d, 0x91519436, 0x377533a1, 0x1e8f76fe, 0x1ce1fab7, 0xedc10e45, 0x0e0cf1ed, 0xd3f32101,
+    0x5ba228d2, 0xebb903d4, 0x012c4cfa, 0x7ed0bb1e, 0x9b9a05ee, 0x21428c8c, 0xe4b83379, 0xe7160492,
+    0x09993816, 0x6ca440ae, 0xc646e728, 0xac147258, 0x63fde7d3, 0x34e80922, 0x96c3e13f, 0xc7fff290,
+    0xc09fb097, 0xbd6df9c9, 0xa1dab64c, 0x78b886ba, 0xdc1c0aa9, 0x48768407, 0xfe4e2143, 0x78c2fe3e,
+    0x63ab7c09, 0x1b29a0da, 0x076de773, 0x6c384d1e, 0x65f09a5b, 0x501a0813, 0x61caad06, 0x340dbefd,
+    0xce7bfd21, 0xd4f9da02, 0xa250d659, 0x9d11675e, 0x1e4f7bad, 0x764a95d1, 0x9b6934a0, 0x1d06f885,
+    0x94b5e3c7, 0x2c055d7d, 0xb6b8f5cb, 0x75eafb27, 0x35e51aed, 0x0221cd03, 0xce7bfc83, 0x15d17d5c,
+    0xe0efc5b2, 0x71a9023c, 0x786975e2, 0x24c3c276, 0xc56bb990, 0x5435f63a, 0x6b365fa4, 0x5b3fa961,
+    0x1522cb2d, 0x19d03fc5, 0xce478b33, 0x1d125fe2, 0xb135fc7e, 0xb1bc3f79, 0x671a8a7d, 0xeed98dc1,
+    0x52e555ac, 0x2508462d, 0xd3c0ca85, 0x13e3b90a, 0x2b2cf257, 0xa457f6a7, 0x7c5cbd44, 0x89173a2a,
+    0xe91112ec, 0xe0f7abc0, 0xa5c1f7b6, 0x589a88e0, 0x4c4e9526, 0x2d6bb74e, 0x7194d54c, 0x490b9527,
+    0x7f75218b, 0xd40a1971, 0x32e1a414, 0x612c3d76, 0xdf0b551d, 0x80bf265a, 0xbaec9418, 0x4f8cdc18,
+    0x574b08d1, 0xc120aa21, 0x5bfa9cce, 0x5ddac9e5, 0x478c283a, 0xd6b8afc9, 0xd8c22eb7, 0xeced04af,
+    0x6f6afdea, 0xb9b751fe, 0xe12ee407, 0x93d5d009, 0xd55127be, 0x273ef893, 0x5f8961e7, 0x904c68d6,
+    0xf786ac7e, 0x95725fc6, 0xf4e069d3, 0xf831baff, 0xfa0be5ec, 0xaceffd23, 0xa98ccfde, 0x5336ac0c,
+    0xca021cfd, 0x43522f87, 0x79eee10d, 0x4a128446, 0xddef448c, 0x73d1e89f, 0x7f984b72, 0xef8cf208,
+    0x35096812, 0xbe943118, 0xb79e010d, 0x6ea7d214, 0xb9dd08e0, 0x25931855, 0x3dc22562, 0x45c63e26,
+    0xfd398c29, 0x255a976d, 0xe6d11098, 0xc4f0630a, 0xb007c84c, 0xcf33281c, 0xa28c9448, 0x70a9e415,
+    0x127bea5c, 0x837b0cb9, 0x1decef35, 0x70dc1306, 0xc25a7147, 0xfd571241, 0x6e65538e, 0xc05b4f24,
+    0x8cfeff21, 0xbada0d71, 0xa7f20e59, 0x1beef2a0, 0xb14ef2e8, 0x10359aa3, 0x270051d6, 0x37421fe9,
+    0x93214f28, 0x61ba7e18, 0x21e4930e, 0x818d8a02, 0x1ec6736e, 0x881fd689, 0xb143a78e, 0x5436cc1e,
+    0x4bc37ddc, 0x9f96ccdf, 0x9e161922, 0xede8facf, 0x899fa960, 0xbd294a21, 0x7beee4e3, 0xfce3b233,
+    0x146ca904, 0xdf40ce9d, 0x5a87ba37, 0xf87aa7b6, 0x1a341fd4, 0x07568561, 0x1b6861a1, 0x7be1f4f1,
+    0x78566552, 0xd70d69ab, 0x8d214526, 0xd9ea3100, 0x2889f31b, 0x92fb2969, 0xac8e778c, 0x6b3214c4,
+    0x5825cbb0, 0x48124234, 0x2cface73, 0x2cd96efb, 0x8753a554, 0x06e265a4, 0x86904854, 0xbfea8db7,
+    0xf09b0674, 0x23a9bbe1, 0x08182f66, 0xb5b6cd86, 0x9c613f7a, 0x4ffa5668, 0xedfa49a7, 0xe53a3cd8,
+    0x439ab060, 0x433311cb, 0x25a690e0, 0x91151dbc, 0xbb101319, 0x3865139d, 0x136232d4, 0xb2da9bc5,
+    0x1283e12b, 0x3c00b572, 0xd3bf95e5, 0xf2083c30, 0x58ac1321, 0x1650aab4, 0x298509eb, 0x445e7042,
+    0xbffe5386, 0x51400d88, 0x1933dc79, 0xb4b1f7a6, 0x555b2b1b, 0x3cc54b0a, 0x1fd7f678, 0xce9d434e,
+    0xad30791a, 0xc039b16e, 0x37a308c3, 0x86fbdf7f, 0x03ec7930, 0x0dac48fc, 0xc2ccd018, 0xbabd7470,
+    0x97988d73, 0x16089048, 0x3083e065, 0x4094a6a8, 0x4962e14b, 0xd2d5a092, 0xe776182e, 0x34e5733b,
+    0x042eacbd, 0x71117cd7, 0xf32b2c94, 0x3e6ac05b, 0x4865d9a9, 0xcb7b0bdf, 0x55086c0a, 0x632be75a,
+    0x5d9f0543, 0x4d1a588a, 0x2c3aa282, 0xbad378e3, 0xab1bc89e, 0x14d26e01, 0xa90c8b1c, 0xf623980b,
+    0x317677cb, 0x74ebec8c, 0x39806f2d, 0x4ce60236, 0x5f610b24, 0x5469abb6, 0x04c0abf6, 0x5e9bc9bb,
+    0x3a31fc9c, 0x1a9ff1b2, 0x2cbf8cbd, 0xef5677ff, 0x0114456a, 0xcda6d2b6, 0xaa1a90bf, 0xd8ceb896,
+    0xca4c93bb, 0x09ec5391, 0xb269a8e2, 0x9756f5b1, 0x84c549ea, 0xde938f24, 0x6c644cb1, 0xe5f2e6cf,
+    0x77e3f7e9, 0x38b045fb, 0xb8611f29, 0x91bec66f, 0x8cb692c1, 0x74c79ce1, 0x1f0b7653, 0xbc4ef44a,
+    0x8ecbff35, 0x227298e2, 0x75fc0f27, 0xed8d4985, 0x5842d6b0, 0xdaeebc5e, 0xb32dfecb, 0x341e8adc,
+    0x7876eb47, 0x6ca203f7, 0x675d701c, 0xeb99c1b3, 0x65de54aa, 0x3a21d05b, 0x1563320c, 0x26a048f3,
+    0x95ae2078, 0x479c2a7c, 0x9988c86d, 0xf7e257ad, 0x493a3aad, 0x5f4c212e, 0xf84df59a, 0xe8adc58e,
+    0x65c24e08, 0x25488721, 0xede9c274, 0xe625274e, 0x9d7242a5, 0xd171d0d2, 0x06e79760, 0x9c6992ef,
+    0xd4a66144, 0x4cd0c681, 0xead33b8a, 0x6584f564, 0x493f4afa, 0xad12bc80, 0xc140a79a, 0xaf5403b7,
+    0x274bb172, 0xc4593a80, 0x42dbab58, 0x81002777, 0x6cf6e779, 0x7a089461, 0xb26a568a, 0xf85a21f4,
+    0xdb7e0346, 0x0b5a1e6e, 0xb4c4694a, 0xcba40f5b, 0xf3ad9639, 0x923af29b, 0x58a86897, 0x34c9ac96,
+    0xcf2ced87, 0x689b3130, 0x1c3163c6, 0x4f10df31, 0xa616af5b, 0xf514afc2, 0x144f0b05, 0x5f2d283c,
+    0x57a40003, 0xa4740860, 0x297154b0, 0x89f542d2, 0xcd39ccc5, 0xeedf644d, 0xe82d2c5a, 0x22c15f7e,
+    0x2d16714a, 0x156caa56, 0x6d07b767, 0xe3fef1eb, 0x57e0f19a, 0x00852226, 0xe9ca1537, 0x899a218b,
+    0x827561ce, 0x31019759, 0xbc13f182, 0x5716c505, 0x5e915cbc, 0xc5901180, 0xb5d1555b, 0xfcaa6fd0,
+    0xeacd773a, 0xa0a1d407, 0x21083aa5, 0x020dc550, 0x2278f211, 0x0bbbad98, 0xaafaca9f, 0xeaab7fa9,
+    0x2393e26d, 0xa271ed92, 0xd6db2469, 0x0d29a2da, 0xf1a75e2a, 0x031bd97c, 0xcb64231d, 0x33326337,
+    0xea5ed98c, 0x5bc809a7, 0x29a0c225, 0xe0ce03a9, 0xfe870405, 0xafa467de, 0x597d0dce, 0xeed92615,
+    0xf56e3fbe, 0x014ba9d7, 0x5108d891, 0xa2397b93, 0x95a898cf, 0xfd280b31, 0x69e1f5e2, 0x43d67afb,
+    0xfdb1ef7a, 0x4a2162c0, 0xc7c98b21, 0x6303be92, 0x50c64a70, 0x775b4ea9, 0xf5686504, 0xb9ff4a9b,
+    0x9c400baf, 0xad1c8fd8, 0x1f9bb53f, 0x8a8ec0ab, 0x7675864a, 0xf2e95600, 0xa602f38d, 0x411b087e,
+    0xa4428410, 0x6f59ae32, 0xad67d164, 0x2bb3e65b, 0x16f0751d, 0xd8312b9b, 0x95f741b8, 0xa6fe0b50,
+    0xc944fdcc, 0x3e78829f, 0x9416d55b, 0xccd387f5, 0x58f80305, 0x1c83b459, 0x405bd5ae, 0x2cb7ed8c,
+    0x972ab672, 0x51d5b268, 0xc576fe7d, 0x77c55edc, 0x91f39462, 0xd771e814, 0xfbd802aa, 0x137f45fe,
+    0x056b4324, 0x353023cc, 0xd8e70cb4, 0x89356769, 0x9fcc6cb9, 0xc88df860, 0x398934d4, 0x01caf5f9,
+    0xcdb3702b, 0xa1b373a2, 0x126b237f, 0xc67cd9e7, 0xa11f9fba, 0x2d722fe8, 0x1bb7509d, 0x1de221d4,
+    0x3f34504a, 0x40814ce6, 0xe40a4f45, 0x5bd40b43, 0x8b9a1f3d, 0xff1c9df5, 0xf62d5aa8, 0xab6c944d,
+    0xd973d82a, 0x1bae1c7a, 0xee2e08ae, 0xb503290d, 0xa4e06c86, 0x35650ad5, 0x47d42f70, 0x499c142a,
+    0xcdea25b5, 0x7a1f1d72, 0x63c2b579, 0x947cf3ea, 0x356171d9, 0xbaa4165a, 0x67292b62, 0xab001fc5,
+    0x25b462d4, 0xea2db8c0, 0x9485ec45, 0x626088e3, 0xf6efbaaa, 0x83ea043c, 0x3dd0997c, 0x6fe99b33,
+    0x1f2df1db, 0x2fd3ca58, 0x634b8c43, 0x4f9aaa37, 0x759c8f5f, 0x41a7a65e, 0xf26ba331, 0x24cfd81c,
+    0xdfaf3518, 0xd37a8fd8, 0xbcf62db1, 0xe4e7ea76, 0x9ee3ac24, 0x370fd380, 0x81a2bf14, 0x0ee251a4,
+    0xa456d071, 0xf3b7d3b1, 0xdd8535c8, 0x0ebc4364, 0x6a340557, 0xbbe51858, 0x5f27aece, 0x67dc5406,
+    0xf7793b6f, 0xac13a74d, 0x3f262fd3, 0x587c463d, 0x85458bb5, 0x67c69c1b, 0x5feee420, 0x6ac38ffd,
+    0x876cf1ff, 0x77d6629a, 0x4488e3ba, 0xf79daa53, 0x58fe2c0e, 0x6ca1b3e0, 0x7c29f906, 0xec05e655,
+    0x149b8264, 0xb5e17bf8, 0x2b4b6a73, 0x46c73ffe, 0x41b6b610, 0x7962fe14, 0xc6f6f35b, 0x3a37d17a,
+    0x2e21ed3c, 0x24e25d54, 0x13faaf71, 0x162671a8, 0x1f44d9b1, 0x5c91d574, 0xee8bd7f4, 0x1a27b9fc,
+    0xa967c3ac, 0x1948228c, 0xf694e5ed, 0x3817d9ca, 0xf35ad89c, 0xc5a16c82, 0x2574f35d, 0x6442a2df,
+    0x1855d05c, 0x3db0a464, 0x6f6f077e, 0x1a77041f, 0xcdbbee5a, 0xd5671d92, 0x346313f1, 0x737af76d,
+    0xc06564ae, 0x787362f2, 0xa53cccc3, 0xa41ccab3, 0x23660f38, 0xae77f902, 0x6870a2ae, 0xb61fcca0,
+    0x2f5e2b45, 0xaf5dbfcc, 0x78b28fab, 0xe8b3766b, 0xa3a76906, 0x6dcf0a9f, 0x06c59e3c, 0x840c8ec7,
+    0xa7dd2720, 0xd08448a3, 0x18460041, 0x1c803d77, 0x92505eb6, 0xd0a0b391, 0x58e501dd, 0xa370c8a6,
+    0x8447a46c, 0xe8077347, 0x6880b16d, 0xb4e3b992, 0xf26942d8, 0x3ab64e63, 0xfa04aebd, 0x9d8c512c,
+    0xea303d16, 0x38e00377, 0x81d395c0, 0xdd8c60f1, 0xd971b533, 0x16e6e97f, 0x9e272f34, 0x542e9df4,
+    0x848e5795, 0xf8ac1301, 0x7f5c51fc, 0xfab255d8, 0x62474e70, 0x913eeffd, 0x9b653c1e, 0xc8389c83,
+    0x076e4fe8, 0x53566199, 0x4d9d19eb, 0x0a7cf3ab, 0xaa4f3fb5, 0xabe8380e, 0x686c0e02, 0x056445e0,
+    0x1e86695f, 0xe2e9cc3b, 0x20432626, 0x26e33380, 0x7d3ebd2b, 0xe00e1786, 0xa615a532, 0xfbcb6cd6,
+    0xb4d67e5d, 0x605d3ca5, 0xe0f7e6ee, 0xae59c496, 0x2a49709a, 0xaaa8585f, 0x64de41c1, 0x87642f69,
+    0xa5c80698, 0x611b0fab, 0x950da714, 0x0f926bd8, 0x55d8779b, 0x24806063, 0xb2d867b6, 0xe74c48c0,
+    0x7386f8d0, 0xeb3526f7, 0xccf79e9b, 0x449d3d28, 0xe4ba9ba7, 0x94b371a1, 0x6f193158, 0x3eb189e4,
+    0x0ee57060, 0xf0d5fb27, 0x677935a1, 0x4203c7db, 0xe7442a74, 0x77e87f80, 0x273faf3a, 0xd4d703fb,
+    0x36c75341, 0x9d65eb66, 0x19051a77, 0xd792b0d5, 0x4dbf1906, 0x7aa6521e, 0x777d60ce, 0xcfa84417,
+    0xa76a9729, 0x5794b900, 0x1fd5ffd2, 0xbe601c3f, 0x7914480d, 0xfbd61552, 0x14b8f71a, 0xbe3ae7ac,
+    0x0d3c5eb5, 0x220ec263, 0x2bfea450, 0x82f89623, 0x4d08c9da, 0xabcfd4ed, 0xd6abf51f, 0xd453921b,
+    0x356a86b8, 0x5079f52c, 0x5bd3de30, 0x728c8203, 0xaa031554, 0x5d00f89a, 0x48ba1d7f, 0x780865b7,
+    0x519b1923, 0xfd9d19ab, 0x97483a8e, 0xa58ca8c8, 0x72e90a08, 0xad32df09, 0xd3e9eec3, 0x521c9563,
+    0x322d5b51, 0x617e9941, 0x3de6b802, 0x29c451f0, 0xd5391e31, 0xaa2193a1, 0xbbd1c800, 0x8a7fd0d1,
+    0xc2686122, 0x3a39cdb2, 0xe51d5799, 0x3081cec1, 0x0aec12cd, 0x3a511009, 0x6b067d2c, 0x028ba1c0,
+    0xab04e492, 0xaaa0d99a, 0x15f534b2, 0xfa186537, 0xb5f764af, 0x8ea395db, 0x717d0ac2, 0x45c92865,
+    0xac3f4bde, 0xdfeaeb92, 0x3147d9f1, 0xd321caf9, 0x79e36c77, 0x1cec6465, 0xa776c071, 0x2033e7c8,
+    0xb7bece79, 0x7bd33683, 0xd0b4e387, 0xdbbc7a60, 0xd39d039b, 0xf7e7e394, 0x2bbd7a9a, 0xc036f91e,
+    0x632942bf, 0xde714daa, 0xec4a0c84, 0xfa9d61d2, 0xea7b8bd4, 0x4717730c, 0x20def760, 0x79fa6706,
+    0xb917ce4d, 0x0334a95f, 0x42258295, 0x047b62e1, 0x02c0be4a, 0x4101b84a, 0x6117d043, 0xc4a4fe73,
+    0x42aee281, 0xe86d7c7e, 0x848f5522, 0x088aa3d6, 0xa848b533, 0x14e7ba32, 0xfbbb2de6, 0xa53afbcd,
+    0x625d792f, 0xd33b90e3, 0xb92de616, 0x17c07450, 0xbb234172, 0xf970b7b2, 0x46d4ded4, 0x1c9c833b,
+    0xa6741f79, 0x6ba90d4c, 0x834ba736, 0x678ae97f, 0x44617ac0, 0x419a60eb, 0x9b58518f, 0x373d4c25,
+    0xf16e13fa, 0x3420e6d4, 0x1dd0e7d3, 0x7a86e787, 0x2bfa333a, 0xec192f1c, 0x1515c4b5, 0x68c13253,
+    0xff6c96d1, 0x6703c569, 0xafc1bd12, 0x6e5f4bff, 0x9c4821c1, 0x8e730f43, 0xc630a4a3, 0x69354535,
+    0xfe834e14, 0x8ddae01e, 0xbc558293, 0x512712d7, 0x14e245f0, 0xf12c4225, 0xbe4a9309, 0x8b78f9cd,
+    0x36826030, 0x5f3b2ed9, 0xb3a0641b, 0xd600f00c, 0x051cdbc2, 0x0a7ab535, 0xe064d09a, 0xc7572084,
+    0x9746ac30, 0xb20a964b, 0x99117c69, 0xc7c8e635, 0x88c56cee, 0x26b2c815, 0x23c9b0bd, 0xec41d225,
+    0x1ef3e080, 0x573501fa, 0x1819bbb1, 0x7937913f, 0x4471de3d, 0x99e79e49, 0x2322b505, 0xe56be6aa,
+    0x127b155e, 0x5fc8d133, 0xe3c5b62d, 0x1760b0b1, 0x9c47fa4f, 0xc1b6729b, 0xf0960f80, 0x52349296,
+    0xaf82f042, 0xed299be9, 0xb0a372dc, 0x40a6a881, 0xb164cc93, 0x6c2db3df, 0x1d62b19e, 0xc1753fef,
+    0xd15f44a1, 0x4a3033ea, 0x4f016520, 0x51542205, 0x0ac0d037, 0xb694df6f, 0x7d0cdbb5, 0xe2e72b3e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000098079714615416886934934209737619787751599303819750539264 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62af, 0xf1bd9d69,
+    0x00000000,
+    0xaf7ec1c1, 0xa5bab05e, 0x049ce092, 0x30fffbeb, 0xb1e10ae7, 0x83f0eebf, 0x7c097968, 0x0ef5f192,
+    0x814f781b, 0x3d48511e, 0x21555481, 0x21cd8020, 0x5254daea, 0x5085f44e, 0x605640f9, 0x6af41f95,
+    0x621d536b, 0x060f97b8, 0x2d8a323f, 0xef1b4533, 0xee963bad, 0xe3322c39, 0xecbfd6ef, 0x21fef095,
+    0xd89b9b9c, 0x14240c96, 0x0e329cb9, 0x5e3c59d9, 0xb1e2cdab, 0x64b83500, 0x83acb0f9, 0xc10f1bb7,
+    0xb64ef9ab, 0x1704cd15, 0x5b74d569, 0x9f90f4a0, 0xd0ac67e5, 0xfaf581cc, 0x0d05a008, 0x2d5f5ef5,
+    0x0d120b0b, 0x334ccf0e, 0x3aadab57, 0xc13f8c69, 0x5e8a0e3e, 0xbdce6b20, 0xdda5237e, 0x9ac877e4,
+    0x06279940, 0x01f64647, 0xf4903fbc, 0x9e506702, 0xe0662116, 0x6f12dd23, 0xe72b0a01, 0x77c72f05,
+    0xf2cd9d27, 0xdf8a6235, 0xaf062747, 0x00ce2c67, 0x76d8187d, 0x16d2d741, 0x04869a24, 0x5c758f73,
+    0x6fe02618, 0x212d0fde, 0xa409c216, 0xd4eac42e, 0x086faf3b, 0xb63387c0, 0xdec32908, 0x2eacf5cc,
+    0xa59cd6e7, 0xf0f8c4d6, 0xed3889dd, 0x6bc11fa6, 0xd1770f6a, 0xfeee253c, 0xbb315e9c, 0x80390dfe,
+    0xd8cfb8f3, 0xfbca0d91, 0x5408732f, 0x64bcf829, 0xa3b1b329, 0x1c0f62d9, 0x31a0d2e1, 0xdecb863a,
+    0x0aaa6961, 0xea8992d5, 0x404045e0, 0x3117ac59, 0xd8b9883d, 0x0e09b6bc, 0x8b42aea3, 0x70a7a336,
+    0xe1024bf6, 0x370689b7, 0x3ed77b40, 0xcfdfa9c6, 0x06152150, 0xbedfb583, 0xb705a38f, 0xca5326d3,
+    0xe77428b3, 0xec6dcfb4, 0xb66672b2, 0x30254074, 0x833673cb, 0x2a6b86b2, 0x2c843b12, 0x9408b49d,
+    0x9e8b4abf, 0xa965ba26, 0xcad11367, 0x8719e293, 0xf80f908f, 0xc0926da4, 0xbc03546e, 0x36f7caf3,
+    0x40b31e94, 0x8c9bc758, 0x8b11aa86, 0xfff31e6a, 0x8e702611, 0xe1d32a00, 0x6a312078, 0xd76e918b,
+    0xf413ad5e, 0x49050fb6, 0xb6152f16, 0xf52bd36d, 0xa0df9cd8, 0xb5d691ae, 0x253876de, 0x7233d4c7,
+    0xefa31558, 0x28ed95f2, 0x11753354, 0x61f87fb9, 0x344ec205, 0x7b2978de, 0xaa071168, 0xb6aa1c51,
+    0xc33bf601, 0x19d4ce25, 0x3f7635f3, 0x95bc9969, 0x7a68baea, 0x2e817d33, 0x08553677, 0x542bbc7a,
+    0x6639c048, 0x3f5d9066, 0x2bd6760f, 0x0b549999, 0x674ddc5a, 0x2322c460, 0xbe3be404, 0x0cb6b868,
+    0x6a1e6eae, 0xbf07f7dc, 0x19578df4, 0xc8b99941, 0xeb6fce96, 0x0afa0e54, 0x12e7fa2d, 0x423855d6,
+    0x828149e1, 0x217c2315, 0x1ea1195f, 0x384a5fa8, 0x5743e488, 0xe5d02b49, 0x23f45ac6, 0x92d4aa43,
+    0x0c76dc40, 0x635fc8bb, 0x73740393, 0x1d0f885c, 0x8645cdb9, 0xa5daea16, 0xca8185c6, 0x227c0077,
+    0x9be54ce6, 0x390a31a1, 0x856a299c, 0xa6c49cec, 0x26bda2cb, 0x6e4074a1, 0xbd6acc28, 0x725b58d3,
+    0x7153bd2c, 0x7320747c, 0x6e84c3ee, 0x64d772c6, 0x0da1ef30, 0xb2038068, 0x53269d97, 0xcba8cd23,
+    0x7c94966e, 0x561d9d1c, 0xafbc84ea, 0xe94d94db, 0x39549f38, 0xb879fa65, 0xbad51bad, 0x370d9937,
+    0x208ee727, 0x25e9dc3f, 0xb166e5ed, 0x00175b0f, 0x11f686d0, 0x24e05020, 0xdfebdd00, 0x0f1d463b,
+    0x527cced9, 0x05563ede, 0x49b93a25, 0x3087dbc5, 0x833a311c, 0x1e5a1899, 0x1676a840, 0x6a2f66a6,
+    0x57194cbf, 0xaf02c05a, 0xddedef1b, 0x7f5f505a, 0x0a863ff8, 0xc4d38de8, 0xaf1a3f93, 0xc936fe41,
+    0x46728603, 0x316bc412, 0x6fed6a48, 0x17c3f1e3, 0x222ef45e, 0x6877c6ac, 0x585d52c9, 0x49872755,
+    0x5f15b28d, 0xc37cc696, 0x79ed0143, 0xb06bb343, 0xc7982e65, 0xa0460cf7, 0xd6465001, 0x39e8670a,
+    0xf48d6186, 0x70c7cd19, 0xaa2e3bbf, 0x73d754b6, 0x46261d7d, 0x615c7936, 0xd6b2768e, 0x3403bdfd,
+    0x8369cdb5, 0xe02e2468, 0x22f75a80, 0x83796d2b, 0xd80b5139, 0x0a1a48b8, 0x32e5f40b, 0x0eb8bc48,
+    0x5adbc445, 0xbaa1320c, 0xd2d2af67, 0xab488d2f, 0xb8486d2a, 0xb605ef3d, 0x7da4dfdb, 0x49549c66,
+    0xaaa8ed2d, 0xb80e19b9, 0x3fc634ea, 0x2339110c, 0x29b5997f, 0x5c535006, 0xf405a7a1, 0x2552ad11,
+    0x81276062, 0x596e0e63, 0x521a7577, 0xaddfbbd4, 0xcf05604b, 0x19af4f51, 0xcac2a3f9, 0x273d9c68,
+    0xbb1e4a7d, 0xc3353e4e, 0x10bd5c73, 0x16581751, 0x2142c3b5, 0x458623b9, 0xe4a7761e, 0x9f206af6,
+    0xaf8bc1de, 0xe151c9a5, 0x55eb6d2d, 0xdee6c5b4, 0x938ae7e1, 0x1f893a6e, 0xa8febd2e, 0x4d26c943,
+    0x5bb7dcab, 0x8fb67c83, 0xe58ad983, 0x31bc5f3d, 0x7fbab39f, 0x8bf3be83, 0xdb507c5b, 0x266ccd22,
+    0x369037d8, 0x3ffea62c, 0x9f6eb042, 0xe410b080, 0x1132891a, 0x9db8b758, 0x8c1f3836, 0x91266e6e,
+    0x05f188be, 0xb70e1c85, 0xcf08c260, 0x5d9ef89c, 0x4b3be75c, 0xa437eeeb, 0xb5bc37a1, 0x34d71f87,
+    0xdfa83ade, 0x72f97107, 0x3baa0a5e, 0xd4821423, 0x43b0935c, 0xa336d9aa, 0xc67ff9f3, 0xca38422c,
+    0xc5ad2133, 0x11320f93, 0xdb9813c8, 0xd586a7d8, 0xf0aeaa17, 0x3ed57bc8, 0xd5e47edf, 0xc9ec689d,
+    0xe0ac0b44, 0xd32ecc2c, 0x2f8ec099, 0x9c0665e6, 0x03204dde, 0xdf6cf5cf, 0x3ff58968, 0x8194a986,
+    0xb71568b0, 0xa1470b34, 0xdaa7c555, 0x83ea31b3, 0x28773256, 0x6c557fa4, 0x84d44449, 0xbfabdd69,
+    0xacc2b017, 0xa43b54c0, 0x5f69b648, 0x724e2ec2, 0x2eaf0535, 0xad7de19b, 0xafc3f634, 0x813b146e,
+    0x840c0983, 0xe3f7406c, 0x18aa0352, 0xe6add95e, 0xe323a660, 0x37ec1760, 0x38b081e7, 0x802a8a09,
+    0xfc09a8ed, 0x5225ebd4, 0x9644d327, 0x84fa1148, 0x537b2c34, 0x1f7a66b0, 0x083eb8af, 0x72ac59ea,
+    0xf01c5939, 0x77983987, 0xd8e3498e, 0x4c1d6f13, 0x4b1154df, 0x8b74245c, 0x4d0e473e, 0x320e5999,
+    0x57ebd056, 0xd7ef73c2, 0x217d0918, 0x88e98ed5, 0x39d62924, 0x60e506af, 0x307f4440, 0xea294fbf,
+    0x46add69e, 0x48b9924e, 0xe4e2b551, 0xa35f352c, 0x5a891b4f, 0x5b9eae54, 0xfe9a06b4, 0x58cc6bf6,
+    0x1b97b137, 0xbe0c0e20, 0xec06dc93, 0xbee54067, 0x73b1b0d3, 0x4ef2f984, 0x1011bfbb, 0xea80bd77,
+    0x51a14f7f, 0xc50e81c7, 0xb562add1, 0x8eb425f1, 0x682a5924, 0xcc9c37d8, 0x1282bf47, 0x3c125b2a,
+    0x879c9f77, 0x1bbe2f50, 0xaf133f65, 0x45e5cf74, 0xcc745172, 0xeb7dd4e7, 0x2a90f4f4, 0x83f42554,
+    0x47ef80ec, 0x7b23f7a6, 0x8c1edf2b, 0xb9c3e679, 0xca83a20f, 0xdbdce18e, 0xa4d7c842, 0x9a00cabd,
+    0x21d6c4dd, 0x2479014c, 0xb0b31fd2, 0x9fa4f404, 0x6d885e5b, 0x7b55807f, 0x09d5eb7a, 0x912787f6,
+    0x9b664eb3, 0xe63ec9b0, 0x5522eca5, 0x848218ea, 0x914e1374, 0xefa878fd, 0xaa71a949, 0x86a97a75,
+    0x511d51f4, 0x3b76ce5b, 0x2eb97622, 0xa3c6f3ac, 0x8ea6bce4, 0x02e430aa, 0xca25b25c, 0x5a7505c5,
+    0x0aeb813d, 0xbea3a79c, 0x706b2a4a, 0xb6de6f78, 0x2d32a563, 0xf2d12952, 0x7a91cf73, 0xda24c443,
+    0xef32097c, 0x9eb21cf8, 0x812d2d5e, 0xf59168c4, 0x9a027ced, 0xe16a1b3c, 0xea7cf4ec, 0x983fac43,
+    0x36ad6045, 0x7f03f4bb, 0xcdd126cd, 0x780d2d12, 0xfeee7363, 0x29c3a38f, 0x829ada1d, 0x18c2c0c3,
+    0x30a262d8, 0x9021f37f, 0xab5f4c82, 0xb3795d4b, 0x3ea264b7, 0xafd9bea0, 0xea7d918f, 0x34133d76,
+    0x68e30872, 0xa56c122c, 0x44cb73e1, 0xf417d639, 0x021868c7, 0x12b53dbf, 0x9d05645f, 0xccdcd989,
+    0xfff3f22f, 0xbf129249, 0xe328ed87, 0x4685944a, 0x79e32527, 0xb67b7577, 0xcaf4db70, 0x1a19b2ef,
+    0x97016871, 0x453ed32b, 0x9db533bc, 0xc7084de0, 0x36ff9814, 0x38d310aa, 0xfddee62b, 0x8f4e05d4,
+    0x2db00736, 0x56ee0b63, 0x96b9e119, 0x7c3aafcb, 0x11221f83, 0xc6b24bfa, 0xac774bd4, 0x8f69e423,
+    0xad0b4745, 0x0b01fdab, 0x348fb2d2, 0xac299422, 0x3085abb6, 0x1ec5822b, 0x6a621701, 0x7f35c15a,
+    0x63297ec8, 0x6f529322, 0x095f9bad, 0xe9df9254, 0x3172e094, 0xe44909f1, 0xd98ee907, 0xcb061b7b,
+    0x76180ab0, 0x9c4730aa, 0x2c5e715a, 0x8d2c3440, 0x50da6c72, 0x026bf3a0, 0x35033f6a, 0x7e9d00d7,
+    0x9310e3f5, 0xf2acba94, 0xda6a7fcb, 0xee459795, 0x64936163, 0x5aa57d81, 0x654674a2, 0x10edf3b0,
+    0x32fa379f, 0xc688ab23, 0x3c27b889, 0x1ad99caf, 0xe8bd3c03, 0xbb636e3e, 0x4eea6b43, 0x4d873065,
+    0x5dbf5dff, 0xb3f01c22, 0xaaa775e6, 0x8f073411, 0x41a5d7c8, 0xdb8a2afa, 0x66ce3e42, 0xabeee4c6,
+    0xe9bc302e, 0x0f5ea2fd, 0xdae6d4c5, 0xa3f65854, 0xf47e9641, 0x542141df, 0x51d8e176, 0x896fcb7b,
+    0x05885731, 0x071f5828, 0x04f78bdb, 0x40ad3334, 0xc8e644d1, 0xf2cac1ba, 0xea37699b, 0x71fd16bb,
+    0xd6d4fac1, 0x9ac8266c, 0xcd33eecb, 0x7fa8e143, 0x974c89f5, 0xf9676b26, 0x0f23995b, 0x95e83d42,
+    0x3493cee7, 0x4d8569a9, 0xc9775d77, 0x80cb34a6, 0x090a1ee4, 0xf2b99c03, 0xce96fc05, 0x8da0d84b,
+    0x877c9202, 0x99eb17d1, 0x7367958f, 0xaf1f3668, 0xa104a007, 0x0f793632, 0x82e2cfa8, 0x97bafc4e,
+    0x04cbaa5e, 0x25ec6fd8, 0x75f4e17b, 0x19413dfe, 0x9e014ea6, 0xbafcc840, 0xfcef2df1, 0x67298abe,
+    0x72d35116, 0x75cfbea7, 0xec9b5ab7, 0x5f7267d1, 0xe3bbf9d8, 0x5203de4a, 0xaf8ed3f9, 0x0d5f855f,
+    0xb63e7234, 0xcacf562d, 0x6b4bb10b, 0x6055c4ec, 0xc9f728b3, 0x9367a50d, 0xb6e727cc, 0x04d3b02c,
+    0xe6de1d4e, 0xabef7478, 0x4c210805, 0x4e54c413, 0xc21536ad, 0x2f1e793f, 0x0bacc20d, 0x8ea85a86,
+    0x58afc990, 0x7d74b3b2, 0x7ed80c68, 0xb026b528, 0xf4fb12da, 0x257786d7, 0xe38b4584, 0x57d4f16c,
+    0x8c93cb94, 0x2d82a30b, 0x898c5ae3, 0xc6f154e6, 0x8fd8d7bd, 0x9ae1a555, 0x8636d628, 0x1cdc8d9a,
+    0x05d40da2, 0x27e1c10d, 0x47e098f9, 0x1520efb0, 0xc958c1d3, 0xd38d8869, 0x7bdbb94f, 0xcf7c067d,
+    0x73b1fd25, 0xdb74be6d, 0x9d61b410, 0x90ac5acb, 0xee2ce1f1, 0xc1c36fe4, 0xb9e1d054, 0xb1506122,
+    0x003cd0f1, 0xd6bf74de, 0x9666e9c6, 0x78256d28, 0xd40af2cd, 0xd4ab0d26, 0x29a119e9, 0x04409fb8,
+    0xb7712176, 0xd70ee8dd, 0x3f3286ee, 0xcd721906, 0x0974cb28, 0xb38832d2, 0x0f5fdb5d, 0xd91067da,
+    0x3dbb15d7, 0x1c83839f, 0x1e305b44, 0x94066c96, 0x8d75d381, 0x13c1e6a6, 0x5b37dc35, 0xd80640a8,
+    0xbaf02fc9, 0x45e36b60, 0x728b1e45, 0x9249864a, 0x217911b0, 0xf15ea130, 0xd376efa0, 0x70914e41,
+    0xed332aaf, 0x7fc4176a, 0x193e589b, 0x7ef1b173, 0x0e3b93bc, 0x071070ba, 0x2c9f02e3, 0x5fa0d6d4,
+    0x157aab85, 0xb5e5a5f7, 0x0a840160, 0xea4905ad, 0x4df7c6b0, 0x80e1044d, 0x3743dbc6, 0x54a6c485,
+    0x1f81bc68, 0x683098dc, 0x128babf8, 0xdf71e0c0, 0xccc022e5, 0x9fb5235b, 0x268cfdd6, 0xc5ba1239,
+    0x62c34f2f, 0x4893e9fd, 0x189f167a, 0xbe908253, 0xd3271b32, 0xd7c06385, 0x4c9add01, 0x8c9008cb,
+    0x261e1a24, 0xef2c4470, 0xc3594925, 0x97722645, 0x7df653ff, 0x7114d80c, 0x84dd3b85, 0x09d9a6ac,
+    0x593dfe9c, 0xa263639b, 0xeb052406, 0x27033dcc, 0x3288f5fd, 0xbfe3b3e1, 0x7261f321, 0x64ac82ca,
+    0x3492d3a5, 0x8ae5633b, 0x22a6ea51, 0x9bb083bd, 0x168e9957, 0xe789780f, 0x5c57077d, 0x87e0274e,
+    0xdc16571a, 0x18c907f6, 0xc904639a, 0x143722ba, 0x3a160bbc, 0x3673e948, 0x0003d1b2, 0xfcb78796,
+    0x4182128e, 0xda36e459, 0x67204175, 0x04f11c58, 0xfe89a8ab, 0xe26d3afd, 0xfcb299e7, 0x17d072cc,
+    0x7bd83f75, 0x1f3f1be8, 0x8e1c119f, 0x35a09792, 0x759d4b0c, 0xb76f6e2a, 0xfa254295, 0x5c4a669c,
+    0xf25317cb, 0x82c7218e, 0x214579d4, 0xe4f73d4b, 0x4c1a20af, 0xfecfc366, 0x27641cdd, 0x728c1e5b,
+    0x78eaf030, 0x8c546059, 0x0d9f4b3e, 0x1e647aa3, 0x592887a3, 0xc0b68f43, 0x4c3ff07b, 0x76972da1,
+    0x950c1c16, 0x554205bd, 0x1baa8504, 0x203ea7d1, 0xb6aedea3, 0x62e7d98c, 0xaea95fd5, 0xd95e6114,
+    0x829c8448, 0x306e0c74, 0x7fc9b04b, 0x400db65a, 0x57eaf294, 0x7dcff71a, 0x54b5c91b, 0xe53fcee7,
+    0xd219e655, 0xf2335f4e, 0x7daca7aa, 0xdfe6c3ff, 0xf89c08fe, 0x10b860ec, 0x7f1656e7, 0xd62544bd,
+    0x033c5385, 0x3d92c2c3, 0xddf362f1, 0x41e7550b, 0xf411268a, 0x9f889604, 0xa5e4be2e, 0x00c5157a,
+    0x72774521, 0x9bbf8d52, 0xba89f1dd, 0x5cce507b, 0xfd18e776, 0x69c7bbca, 0xd7fcd392, 0x8d98c39d,
+    0xc74a0515, 0x77429bdd, 0x60eff933, 0xbc5af486, 0xe7dccff4, 0x1f2f2e05, 0x19106acf, 0xb6707ba4,
+    0x253ff931, 0x0041ce9f, 0x41c883e9, 0xb54b4eac, 0x2a8ddb0e, 0xa9d557a8, 0xdc9dcdfd, 0x5ee07faf,
+    0x0676c1ac, 0x9fcdb940, 0x57842517, 0x83393a5d, 0xb85ec7a7, 0x10976a45, 0x9af9d1cf, 0x2faf95de,
+    0x70c367b7, 0x19f2a042, 0x441eb917, 0xc071be60, 0xd475a7f0, 0x4f556dae, 0x0132d6b8, 0x893e3675,
+    0xf19fdf5a, 0x682f585a, 0x6388c078, 0x798ca41a, 0xd76c3bb7, 0x05a77ee8, 0x1b48311c, 0x9acb51a2,
+    0x417b46c3, 0x689df2c0, 0xa7b01433, 0x5d69e2a2, 0x057fb55f, 0x7e5d97e5, 0x964c5b37, 0x6f411046,
+    0x8f3eca3f, 0x022e3c66, 0xf3261613, 0x08f35eac, 0x1080e70e, 0x5ad38bd3, 0xcba6e217, 0x99550aec,
+    0x0333e46c, 0xf9bef61d, 0x1f115197, 0xefaa4be2, 0x73703557, 0xa1da8d23, 0x852086fe, 0xe09e220f,
+    0x87a8c1c8, 0x943826ed, 0x599ee28e, 0x57ff7370, 0x5e3703a8, 0xd06d4ca6, 0x9dc7bb3d, 0x7a4a11af,
+    0x78da0234, 0xb1572ff1, 0xcffe59ef, 0x7430169c, 0x00aa9688, 0xb08d6921, 0x450ee655, 0xa3f7913b,
+    0x6031f883, 0xffb1730d, 0xec224484, 0xea1d16bc, 0x84382551, 0x0889754e, 0x56b13b2d, 0xd72cd709,
+    0xc8f2f489, 0x5ad3803d, 0x04763c8a, 0x75f3b439, 0xfd159334, 0xa99d6499, 0x62c727cb, 0x971a102a,
+    0x516d8002, 0x5b9d1a52, 0x0797b5ed, 0x6541066a, 0xdfa4657c, 0xa7a32cea, 0x036fee58, 0xd585af0d,
+    0xed0e4b5d, 0x9124d18c, 0x2612d2ed, 0x70cf2c08, 0x438ef57e, 0x5d918679, 0x8113a535, 0x5a0f68e2,
+    0xd16b6419, 0x830c4562, 0xddc4d1b0, 0x9e5f00f0, 0x3e1ef8d6, 0xa1a15f05, 0xa4ca161b, 0xb2c240b6,
+    0x11e38ac7, 0x1539acc0, 0x6d1fb14f, 0xa234eb63, 0x3b99350a, 0xc1406cdb, 0x86235442, 0xe2bcb80e,
+    0x14f0b60d, 0x9b218c8a, 0x955d1588, 0x193d6336, 0x157e329b, 0xe7ea22fd, 0x3a1baab5, 0x65d20e04,
+    0x3ca2c58e, 0xb070fd75, 0x95d72d77, 0xf9a790e0, 0x441a4da7, 0x1a1fa628, 0x49579f2b, 0xe5875a91,
+    0x772f7675, 0x92395c9d, 0x086a7427, 0xfebeef20, 0x0db181f9, 0x1148357b, 0x6ce145f4, 0xf45bb8ca,
+    0x98af7d92, 0x61f4bb2c, 0xab6cdea3, 0x83b65c69, 0xbf03acc4, 0x5dd5c427, 0xbfa18472, 0xfcbb98ce,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000049039857307708443467467104868809893875799651909875269632 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b157, 0xf8deceb4,
+    0x00000000,
+    0x95e0bca3, 0x5cc2b8a3, 0xc4ad9400, 0x88148d51, 0x70b04f56, 0x86f55ce2, 0xa2c0917c, 0x37c981ee,
+    0x8bb3c7f8, 0x772e43d7, 0x31f4e80c, 0x93093304, 0xa769c8dd, 0x4144be6b, 0xa44205ac, 0xde8d9220,
+    0x81a10bb5, 0x94ca2ccc, 0x4ff70766, 0x3101fed2, 0x7653717e, 0xfd8a6fa6, 0x3e91069f, 0x34aaea04,
+    0x92c31e5c, 0x51e44051, 0x4081fa2f, 0xb39e07a0, 0xe775bb33, 0x4d161437, 0x21a6d1b8, 0x41caa866,
+    0x354c8f48, 0xfee16321, 0x19335f1f, 0x5ca1ce01, 0x2fa87362, 0x13d3ffeb, 0x0e4cb857, 0x894cabe8,
+    0x13741575, 0xf2d176ba, 0xcd734336, 0xd6e09ca3, 0x7efb839d, 0xd545fb7c, 0x53934fb5, 0xb248a4ff,
+    0x5603e225, 0xec595b42, 0x2d7ecd68, 0x700dc384, 0x21572370, 0xbc4bd555, 0x88b8483a, 0xd3fc1748,
+    0x93669bb2, 0x32847299, 0x634e3568, 0xd5c0df10, 0x870a6a6a, 0x23fc155d, 0x314bb6bc, 0xf7327839,
+    0xa666d47a, 0xc4df74b7, 0x7870f29c, 0x5d2dc90b, 0x12e5d745, 0xd119eee9, 0x88f6c579, 0x6b772f5d,
+    0xb827547c, 0xff12de5c, 0x4452915f, 0xb56bc10c, 0x25e3b37c, 0x70658127, 0x5eb94f36, 0x010d83ed,
+    0x426c84dd, 0x813ce12a, 0xbeed8ee3, 0x400f509b, 0x71e1d845, 0xcb61f95f, 0x0ad27a42, 0x047a1255,
+    0x3d457734, 0x9eda4168, 0x9f60c52c, 0x85803df1, 0x19c68dfa, 0x605395c6, 0xb0cf8159, 0x265c4763,
+    0xa111a555, 0x915f0709, 0x8b1a7aa1, 0xb658028e, 0xd1bfdb1a, 0x56d82832, 0xc1c16045, 0x3a4e4935,
+    0xef702cf7, 0x3fd99c23, 0xee6559c5, 0x4a3410b9, 0x468d7b65, 0xd4602bf5, 0x0b213ace, 0x21e1923c,
+    0x65fbfa4f, 0x5231cede, 0x5fd610ae, 0x6c2b65af, 0xb6329231, 0xf69f6dab, 0xb9445190, 0xc2fa51de,
+    0xdd92a857, 0xf723bbc2, 0xbffd4395, 0xe5890d19, 0xb551dd33, 0x5219559e, 0x064aa006, 0x7b5e3a78,
+    0x8e6a4d49, 0x8e53731e, 0x54dd910b, 0xe24b251f, 0xa58fc151, 0x1b703f4b, 0xd96e88f6, 0x45788eac,
+    0x85882408, 0x8f06d49b, 0x1a283d4d, 0x387c3b62, 0x5f85ef31, 0xbe59614a, 0x008ca608, 0x551dc9b1,
+    0xdd1ce341, 0x0518beb7, 0xcf574c54, 0x2733777f, 0x57ec767c, 0xf0eaeb54, 0xa9190c2c, 0x138f7f00,
+    0xb491a1a5, 0xff523c31, 0x6eeeab39, 0xc4fd8b67, 0x56e5df19, 0xd81412ec, 0xf4c757e1, 0xf9448b5d,
+    0x95832ce9, 0x951587f9, 0x7108eed0, 0x1f563b65, 0xde312309, 0x2a2435c2, 0x459eba80, 0xafb312d9,
+    0xec8c8d2c, 0xe0bbc4b9, 0x797f4973, 0xa785f3fd, 0xe0d6c3ff, 0xf2207de8, 0x73ef7d9b, 0x74ee91d7,
+    0xd71d6882, 0xae596038, 0x52c73b67, 0x5d14edcc, 0x595eabe3, 0xacfb0a9a, 0xc3bf1d13, 0xb2b755c5,
+    0xfd80f75c, 0xf0b7cb24, 0x253591e7, 0x47ab3721, 0xfef5d2d7, 0xfe618c02, 0x12d23197, 0x7cb74f4b,
+    0x962590c2, 0x85b57ba4, 0x7c9f7e10, 0xe8cf61da, 0x73069bff, 0xa9acb838, 0xffa2c956, 0xdc3b8883,
+    0x2e7d6bcb, 0xc6e17958, 0xfa70e9f2, 0x881772f3, 0xeab32e8b, 0x27964ebe, 0x38e6dc96, 0x6bd01d96,
+    0x51a474a3, 0x7b91fac4, 0xfdb1506c, 0xe957b0bb, 0x72a4809a, 0x7df46382, 0xda3c604c, 0xf65954cb,
+    0xa8b46119, 0x791c73c1, 0x8514a844, 0x9ad7b7b7, 0xc106c8e7, 0xc82d4155, 0x02119517, 0x2b0dd0d1,
+    0x8cbf4104, 0x989f9e7b, 0x3528efb1, 0xb3d0f784, 0x6372c50e, 0x02ba82f1, 0x310eeb63, 0xe1d4e048,
+    0x7e09afd8, 0xdf8d63c6, 0x2843f206, 0x2e217613, 0x362c0f28, 0x1f08fdfe, 0x5ce565bb, 0x84f32cec,
+    0x0c9e54ba, 0x0db1107a, 0x603f79c7, 0x5884bbc5, 0x95ab36eb, 0xd777ce2a, 0xe830f1f3, 0x153bcd42,
+    0x06dd9563, 0xd4cd6f2e, 0xfbbfed14, 0x8bd0444c, 0x6707abf4, 0x7cbcd299, 0xa4005104, 0x487a66cf,
+    0xd4f89ac6, 0xab5c593c, 0x357dcfc0, 0xc52075ad, 0x1df6dd66, 0x6583be21, 0xd309ccb9, 0x5fbb74d6,
+    0x5632de00, 0x75602b6c, 0x2a33321b, 0x4689cce5, 0xfca01493, 0xd8f747c0, 0x7ca971b0, 0xf1513fc4,
+    0x6f26e35c, 0xc7acd828, 0x5e9bd28f, 0x9c23cfed, 0x16535a74, 0x92835ea9, 0x926337d1, 0x10b33eb9,
+    0x1c33a8a4, 0xde3dcba0, 0xbe1ca1f1, 0xbfcac6f8, 0x7f974f1b, 0x4e8e258b, 0x4c1839cf, 0xb339118a,
+    0x9c4e9438, 0xec98c4db, 0x646952ae, 0xab1ca7cb, 0x68c19190, 0x86cb7135, 0xa5a2772d, 0x4d72a9f1,
+    0x10eeee1f, 0x95537e7f, 0xee753029, 0x5dba50a5, 0x1ac1e448, 0x8082e7a4, 0xa96be006, 0x774c8ac8,
+    0x730c7241, 0xcac715df, 0x75edd9ca, 0x61a2a1c3, 0x2968af58, 0x7c3a279c, 0x90540cf3, 0x652cb49b,
+    0x681a3780, 0x3d499a5a, 0x9faafa4a, 0x8b911938, 0xb08c1d7e, 0x61f80e0c, 0x4191c8ee, 0x9cba337e,
+    0xe3fbb5cf, 0xa7a64e17, 0x71f47d4d, 0xade185a5, 0x9462973f, 0x1432ee52, 0xfb1d7e64, 0xfaf134b8,
+    0xc4d6c583, 0x3ad73fcb, 0xba270c07, 0xf4d8b51f, 0xe764da58, 0x63a670f6, 0xb319339a, 0xaf6e198c,
+    0xb67c3882, 0x4d3ea5bd, 0xe6032562, 0x69945569, 0x5c18e6d0, 0xfed10bac, 0x31280749, 0x3c7dd431,
+    0x305c8aa2, 0x41ccbd68, 0xecca8716, 0xf7559e97, 0xf4878f5b, 0x67ee208a, 0x3e2c5107, 0x32ec0324,
+    0x19d1afea, 0xebaff64b, 0xdd945ac4, 0x3823ee9c, 0xb3ea1250, 0x4f786a23, 0x0e291279, 0x60c0c3ac,
+    0xc5e1deb2, 0x3e04153e, 0x5d55b7f3, 0xe4b53f75, 0x5029eb3a, 0x5fd0bbad, 0xc3a7f5e4, 0x16f7ad8a,
+    0xb91cd329, 0xb93b30a4, 0x48309f21, 0x9fa42542, 0xc791f5b2, 0x2d3996a5, 0xbd72a122, 0x6f43b34d,
+    0x60e635a0, 0xa2559692, 0xa7e17c13, 0x24bf27da, 0x96a4673b, 0x5297d500, 0x9b18b8d4, 0x2e9b6435,
+    0x4eacdc27, 0xf01895fb, 0xeeeca7bc, 0xf90124ea, 0xee1e5519, 0xaa6077a8, 0x6d1f23ed, 0x8db84bee,
+    0x5b4230ae, 0x168fb056, 0xc644c0ba, 0x1794ed24, 0xfbd47abe, 0x863835c9, 0x3c4e8c12, 0x34870f78,
+    0xb2eb1409, 0x156d2913, 0x3778c977, 0x3ce8aa61, 0x19c24bcf, 0x8a49ec70, 0x3eb3f8f7, 0xd0a1c8b2,
+    0x4787fc57, 0x6d75516e, 0x4e474dba, 0xb00aa1ec, 0x4da0065a, 0xcb15ddbb, 0xf51eac07, 0x7fb6af0a,
+    0xde8e3a9c, 0x5dedda32, 0x8bea2198, 0x16cc5885, 0xb6a9aee8, 0x973a3ec6, 0x6a262fb3, 0x90611ce9,
+    0x0c1bc255, 0xf8e17ba3, 0x1b4dc12d, 0x66b825c3, 0x6e96ab35, 0x4073a045, 0xbacf8432, 0xe0b84a04,
+    0x7cdfe98d, 0xa0af6560, 0x4693da3f, 0x9460b472, 0x61788fd8, 0x819b2e3d, 0x26e5b50f, 0x325eb9d9,
+    0xf54c9200, 0x875da264, 0x4c223bef, 0x11416b8f, 0xff4c2486, 0x8c1e4163, 0x2bf35bf1, 0x6120896a,
+    0x224007a7, 0x737e60ba, 0x907d4e9e, 0x664ff286, 0xf0b96f94, 0x9342b9da, 0x1495e904, 0x06f7828f,
+    0xac6467f1, 0x6c3fd8e6, 0x49e6af1d, 0x74c77192, 0x72d9403c, 0x898dbdb6, 0x4dd261ad, 0x092e8523,
+    0x5de2d1fa, 0xf2772b8e, 0x9d2253c7, 0x11af17cc, 0x5c0ada20, 0x25b92276, 0xb341c973, 0xc1e5e68c,
+    0x811e6ae4, 0x49875e96, 0x8df32b93, 0xa2582d22, 0x977f07e4, 0x0200b333, 0xcea2d143, 0x5cf9f0ae,
+    0xf5d6802c, 0xd9e05826, 0x42e1b862, 0x9802e009, 0x001064f9, 0x6da6ac48, 0x239ece2a, 0xc22d4ecb,
+    0x39310848, 0xbe3a835f, 0x4bd05011, 0xcb8f9226, 0x2dff7b06, 0x9fc51b14, 0x256b00fa, 0x7ec03d04,
+    0xa5fc0959, 0x2bba7a26, 0xf4742516, 0xe4200d04, 0x72ac62ff, 0x2cc2f90d, 0x4abed295, 0xe5c29606,
+    0x7cdbc211, 0x7ccb65af, 0x880808a1, 0xda2f7f2a, 0x017a3d38, 0x267bdc11, 0x16300f54, 0x2e666013,
+    0x4efb93d4, 0x2a75612e, 0x426bd84a, 0x3ee28148, 0x18751d14, 0x72676d35, 0x3329fad2, 0x5c85835d,
+    0x5b46e815, 0x79f7674c, 0x2496a53f, 0xa4ee4c1c, 0x076d1e30, 0xede9714e, 0x9e3e72f7, 0x230365ca,
+    0x4a25770a, 0xb1b065cc, 0x9760ebdf, 0x84c293cd, 0xfd1fb936, 0x2dd9ffa9, 0x18648789, 0x32c08d39,
+    0xa1aa2c20, 0x1698147b, 0xd2105b6c, 0x3fe537d4, 0xa7f0bfe3, 0x1692c7f3, 0x4fb02537, 0x08d32f43,
+    0xa44409a5, 0x1aea7ccb, 0x4aaa4497, 0x9a60d045, 0xcb08d20c, 0xba3e2044, 0x3788227e, 0xf6f403ea,
+    0x82464c9a, 0x460a803b, 0xd883cab9, 0x8c6f4751, 0x38a95cd7, 0x8bec6eb2, 0x8f418fba, 0xb29cbe5d,
+    0xc3acfefc, 0x15616dbe, 0x820fb254, 0x29923c13, 0x61b9946c, 0x63fe42e2, 0xb6683f00, 0x5b957153,
+    0xa0c0fb7f, 0x5246e8e7, 0xf1241f0c, 0x224988c3, 0x1deb71a1, 0xb83bc493, 0xd73a5589, 0x566d75ae,
+    0x66271ec1, 0xa0a7cd49, 0x640ac05d, 0x8abaa3e7, 0x1bac28b6, 0xf71b9444, 0x2950cd5b, 0x3e17bdc7,
+    0xea1d2ec9, 0xc83f1f3a, 0x43cfa64c, 0xfa3456f0, 0x812ca766, 0x45a9d452, 0xc3a5c812, 0x16a59bb0,
+    0xf3f6fab2, 0x324284ae, 0x546dd8d4, 0x57f3d04a, 0x141df313, 0x4f5c4167, 0xf1f1e360, 0x9d39e571,
+    0x924d6f06, 0x6dcc0d13, 0xac6b6bd6, 0x87132004, 0xc5f1efb2, 0xac5068b8, 0x1b98e6cf, 0x87fbaa85,
+    0x17ced116, 0xef637a61, 0xe180cdef, 0x78f633f3, 0xa92208cd, 0xc9c2ec21, 0x9b691207, 0x1f68c72b,
+    0xdc5f08db, 0x39f1e649, 0xb1b36923, 0x4894a58f, 0xbb84f756, 0x91e07877, 0x1c4aaf5c, 0x7150e5c1,
+    0x4fdfc098, 0xe88c6048, 0xbfa729b4, 0xf882b11b, 0x92a4e608, 0x10329e01, 0xe14118d3, 0xc0b80e98,
+    0x1125ab12, 0x5bbeefd9, 0x5cf444b7, 0x1166f561, 0x7ad3f6d5, 0x1a59e216, 0xd01603fb, 0xc3c0f692,
+    0x301ba66d, 0x56667186, 0x40e6fc51, 0x93c1834e, 0x6662793d, 0x8ee03815, 0xe2e35285, 0x12cf99e8,
+    0xb00da414, 0x7d52c9d0, 0x5a7e9a24, 0xc1c2a632, 0x5a83a6d9, 0x6ffd4d67, 0x9e60c5a5, 0x093a552f,
+    0x7f6ed457, 0xef5746ef, 0x58826b34, 0x1321376e, 0xac03848f, 0xb8a754e1, 0x8835d819, 0x7a80af8e,
+    0x8c8b6a99, 0xc4a78d82, 0xe464d5c2, 0x4c7ae6d2, 0x9c426c9b, 0xcf3bdb74, 0xffea7867, 0x590d929f,
+    0xb19e3403, 0x685ee80c, 0x8dd1850e, 0xe9d8bdd5, 0xcbe5a944, 0xee195ea7, 0x1f51522d, 0xa0047a84,
+    0x5bcad4b1, 0xc248b240, 0x33029a93, 0xe15a1e1c, 0x532b440a, 0x8cefc526, 0x5abba33b, 0x74f245b6,
+    0x7fbaff11, 0x355ea2c3, 0x861d09b9, 0xf1c82d62, 0xcfe2140f, 0xcb0df754, 0xda848926, 0x19955511,
+    0xadcdb507, 0xed429af0, 0xe953744e, 0xdd7595ab, 0x335f4091, 0xdf7efe0a, 0x0c259dce, 0x6d4bd6f4,
+    0x03c9d271, 0xe8cae85b, 0x66dd7ad3, 0xc878a7db, 0x0c4962d2, 0xa0618923, 0x4a084510, 0x6d9e766d,
+    0x5f42518a, 0x66d9e420, 0xb59efc78, 0x6995deb4, 0xf707b622, 0xe6248a0f, 0x5b63c218, 0x5730d1fa,
+    0xe277a6f0, 0x0887b812, 0xa06c61ad, 0xb92622dc, 0xa4e29e3c, 0x4e1a2634, 0x1e691a2b, 0x337d0f47,
+    0xdd465e5b, 0xd6aa38ba, 0xde92edaf, 0x420a6f4d, 0xd77e93cf, 0x5924afb5, 0x79ca2da1, 0xd708bc69,
+    0xcb345968, 0x0e0fdb50, 0xc3e330cc, 0x64991993, 0x2c47dbd8, 0xab205dac, 0x38edf25a, 0x95866377,
+    0x3b066c5e, 0x49c9ac59, 0xfce41aa2, 0x867556ca, 0xd25e5715, 0x89c65fbd, 0xdbc3d511, 0x46109ad3,
+    0xd8836705, 0xc668916d, 0xe042ac99, 0xf87bf707, 0x42d1ce4f, 0xa07aa8b2, 0xeaa692ce, 0x8392e90e,
+    0x9b57b978, 0x06d27f4b, 0xaa76808f, 0x1ee089b2, 0xe2475f38, 0xa31703cc, 0xa2f875dd, 0xab8c1c0a,
+    0x3ab1f073, 0x0f2ce9d7, 0xc39e5c52, 0xe174bab6, 0x32753635, 0x8bdaf52a, 0xc5409a2b, 0xb47d347a,
+    0x05555640, 0xce4fce8b, 0x85bee85b, 0x83a7caf2, 0x8f90e402, 0xbb52a19f, 0x15b9a639, 0xf60c448f,
+    0xbe463806, 0xcc7aed4c, 0x1f837be2, 0x20b3fd8f, 0x98c4217b, 0x891a64c4, 0x58fd5721, 0x73b0a07d,
+    0x2a2e859d, 0x6effacc3, 0x1e8b24e0, 0x6090a60a, 0xa4150f75, 0xef4566c5, 0x48d80344, 0xd5149c19,
+    0xd4ec34dc, 0x0526fe8e, 0x08292cde, 0xac87f00f, 0xd030d8c0, 0x4ef23c15, 0xbf25cba9, 0x67fc1908,
+    0xcfade78d, 0x368c8868, 0x9014fd95, 0x67124a70, 0x76812162, 0x11b55b5e, 0x07af37a3, 0x6eebd0a2,
+    0xa70c12ed, 0x031411e1, 0xc44814de, 0xc59120cc, 0xcaa32729, 0x4c31aff6, 0xc4d71e8f, 0x4b01f1bd,
+    0xb5d5bf06, 0x164c0423, 0x22f2de4f, 0xceb4692f, 0x6ef11bb2, 0x414bac36, 0x74b7e37f, 0x8cdb8d8e,
+    0x30ca041c, 0xcf2283fe, 0x041b6c60, 0xcc70fa9a, 0xc88cd415, 0x3565fbc9, 0x081cb1a9, 0xd340d367,
+    0x7563f4c7, 0x88f256d6, 0x2ea41c80, 0x644a5365, 0xdc4bedf9, 0xa270bd24, 0x6ac6f113, 0x7d315a59,
+    0xfa18ae3d, 0xa70b3801, 0xe1b366aa, 0xe4b86c3b, 0x3d02ed95, 0xa3bc3dc1, 0x032a159e, 0x21d8b470,
+    0x561f9b6c, 0xbed23089, 0x4ab741b4, 0xa1b09ed9, 0x9a9c0cbf, 0xaeb4b798, 0xa2f2dad0, 0xe8acdf18,
+    0xde2396b7, 0xddf972a0, 0x1387d8df, 0xcf8abd29, 0x7b6c0cc8, 0x48e42369, 0x88e40931, 0x5c8b5b35,
+    0x87903b5d, 0xc98d8720, 0x14d8e099, 0x68f6062d, 0xfadb5821, 0x2fecee6d, 0x554d6cfb, 0xf1e33db5,
+    0x051504ad, 0xf434617d, 0x2721ab48, 0x254537f9, 0xcbd79025, 0x3428b12c, 0x956a7ae5, 0x70aa5084,
+    0xcec1a7ad, 0xfecba47f, 0xc5d31924, 0x38153282, 0x06d65386, 0xc850a061, 0x60ec290c, 0x1694e20c,
+    0xb8913180, 0x5cd60b50, 0xf77809d2, 0xebc5fb20, 0xc9ed2199, 0x7ac87f4d, 0x5f8dc1c2, 0x467205a0,
+    0x4ffc53c7, 0x1e306049, 0x1288f0a2, 0x8674c825, 0x5e461064, 0x8340e1c9, 0x43b886c2, 0xab06f6a4,
+    0xbcf08796, 0x69ad2db8, 0xa8df4070, 0x540bed28, 0xa44529e9, 0xfe28d2c5, 0xf6a6d116, 0xd61a8523,
+    0xd8c55dda, 0xc6668581, 0x739e70e3, 0xb3da3b55, 0x58b4d908, 0x6b174547, 0x7888ac5e, 0x43174829,
+    0x96393fb4, 0xb29e0fc7, 0xef91dbfe, 0x8569acda, 0x724bb8be, 0xf4d8b655, 0x436c5b71, 0x28f847c7,
+    0xab8ad5b3, 0xa8011e4a, 0x7df27bfb, 0x7643e606, 0xedc937c5, 0xe2acc0ce, 0xfc6a562b, 0xcd7d1685,
+    0x3cd85bfb, 0x2f3f5f8c, 0x8c4fa955, 0xcd8a0b36, 0x9fff547d, 0xd4b30f58, 0x2a6f78f7, 0x6e252033,
+    0x04b55a45, 0x087e7178, 0x14af25d5, 0x730c60d3, 0x8cd087d0, 0xf979defb, 0xafa68fed, 0x5be76bbb,
+    0xa26069ea, 0xcd29ed31, 0x82149c3d, 0xb6cff772, 0xeb032996, 0x7235094e, 0xb7767b1d, 0xb0c374a0,
+    0x43ecf894, 0xfcb03c19, 0xec65ba2c, 0x2feb8837, 0x5a7ccf3c, 0x2ab5a77d, 0xe60f309d, 0x3816e46d,
+    0xaa4809d6, 0xc7fa2162, 0x52c6c277, 0xef359550, 0xc492e71e, 0xd0f1526a, 0xab3508bd, 0x5f89b985,
+    0xbf4e0dc1, 0x968fd25f, 0x01acd642, 0x4652fcb9, 0xe0a25a79, 0xc6021cbd, 0xfdc88a76, 0x76bde032,
+    0xcdab2599, 0x02941f85, 0xee86a55f, 0xaf8aae26, 0x2c715249, 0xccff7a04, 0xf1f7e848, 0x08e08c28,
+    0x47855470, 0x40bd3b05, 0x17ce7f72, 0xa4849314, 0x87ed111d, 0x89df3a1e, 0x4314fe4d, 0x7f7d9241,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000024519928653854221733733552434404946937899825954937634816 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8ab, 0xfc6f6759,
+    0x00000000,
+    0xc3e11ff1, 0xafdfedc8, 0x2bd644d9, 0x74f8d55c, 0xcd577c17, 0xcd426b80, 0xa04f36f2, 0x8f33a371,
+    0x4a33343c, 0x35128269, 0x7ce740c9, 0xa159f7c8, 0xe25fe876, 0xebb8c746, 0x63c3ba12, 0xf8c543f8,
+    0x3f99f99a, 0xdaed229b, 0xdbfd0ceb, 0x89e02180, 0xb9951412, 0x3a05da03, 0x235d849e, 0xe8e60181,
+    0x404171f8, 0x1eacbb23, 0xe1b11ac3, 0x0a46d44e, 0xef873226, 0x0717da1e, 0x58c70a03, 0x217306ea,
+    0x10a21e7b, 0xbddf721a, 0xdb2979e2, 0x5b510ea7, 0xf21810d9, 0x76577ae0, 0x70af74e3, 0xe8b060f8,
+    0x5a0c423e, 0xd489604c, 0x9f5a3456, 0x08371681, 0xaf57fee8, 0x8dee5672, 0xf9d540e1, 0x9061f757,
+    0x26d245a4, 0xa577e7ee, 0xcc4135dd, 0x7cec9f29, 0xaee86e25, 0xdb8e88ed, 0xf09f1ee0, 0xd19d9b6a,
+    0x2c68fda5, 0xd0c16d80, 0x1f121f3f, 0xec5ca4a1, 0x8b61adca, 0x6b2a0b4c, 0x34d4f6fb, 0x5e44e9db,
+    0xa47309c9, 0xafb1092f, 0x3c71496f, 0xa0654e72, 0x1eab5be1, 0x63a44ec4, 0x22e063dd, 0x5fe80aea,
+    0x8081ba79, 0x7a7553f9, 0x0290f7b1, 0xb743ff11, 0xebc202ab, 0xaf8eca58, 0x53e04415, 0x4ab92feb,
+    0xbe1df882, 0xf624b4e0, 0xd21175f5, 0x6ea44ecd, 0x8e9ea87e, 0x051fc801, 0xc1f54651, 0xdd6a93b5,
+    0x46448c02, 0x1011f423, 0x20a9edb8, 0x17b89fcf, 0x676044b8, 0x9c39f1a6, 0x14b6777f, 0x946ccad8,
+    0x0bfd34f4, 0x5cdff128, 0xf6913169, 0xea951690, 0x2ab1e4f7, 0x04de2ef4, 0xecca85b6, 0x3f4e4845,
+    0x82d8d816, 0x8257aadd, 0x641efa35, 0xbabb8b25, 0x2dfa3c20, 0x086d5b73, 0x2205a36d, 0xfce12bb1,
+    0x64b0026b, 0xcc4f5069, 0xe608821f, 0x407c2875, 0x61b72333, 0x3f60706e, 0x43da129d, 0x1804d958,
+    0x54c24242, 0x14c9b08d, 0x01d01e3f, 0x4dd121b2, 0x6128ab6f, 0xb8e07def, 0x3c2622c9, 0xfce717ac,
+    0x4d2f2deb, 0x98f98b0a, 0x79f734c6, 0x872d6534, 0x14f66902, 0x20607c86, 0xa8549bcd, 0xe806f5a8,
+    0xf6d663b9, 0xe07105e0, 0x7b737ae9, 0x463477c5, 0x2801c876, 0x7c14128a, 0x05f90727, 0x67b35957,
+    0xf599f102, 0xe53c02b5, 0xf6a6edcc, 0xf982c90c, 0xce9fbda5, 0x13ed13f5, 0x77eee2f9, 0x2e414218,
+    0x0b5dc62f, 0x03b067d1, 0x598754d7, 0x7bce82d0, 0xdf73877e, 0x23e45d01, 0x07bc906e, 0xeffa9cc8,
+    0xb8416be8, 0xd72da6ac, 0xa2fdbabb, 0x790e0497, 0x296f2165, 0x5f7ecb0c, 0x573e3c53, 0x860a4e39,
+    0xf57024e3, 0xbe0d6922, 0x59c2859c, 0x6ee02ca2, 0x55b7aa09, 0xab587332, 0x1adeba5e, 0x2d48c637,
+    0x6af2478d, 0xf02111f1, 0x7578e7e6, 0xa6f6a63a, 0x8322bd71, 0xb920ef75, 0x83a6e2d5, 0xe3a7ee46,
+    0xad6373d1, 0xdf3bd687, 0xd219b70a, 0x50e9f0ed, 0x8ce1cce5, 0x4407b62c, 0x4f6c2fc1, 0x13a89b22,
+    0x0f35e29e, 0xd3887926, 0xfc46edcd, 0x9f39a55b, 0xdb4118ee, 0x670aa0b2, 0x873734e9, 0x6e808cdd,
+    0x4ce7c7e3, 0xaf0de08f, 0x9f7704cb, 0xdb67184e, 0x6451c0d0, 0x7efce583, 0xfbb45ba4, 0x235464e4,
+    0x7c5b276e, 0x4f9aeceb, 0x1b0b6b7c, 0x8255be25, 0x656319b3, 0x5f2b639e, 0xb512b2ff, 0xdb2a3a15,
+    0xe482a275, 0xd0ff74c8, 0x073fa298, 0x1b198fc6, 0x3889afed, 0x4e53bcea, 0x484f8025, 0xcacff86d,
+    0xc39fe76f, 0x5b47ce33, 0x05f9389f, 0x051c0f63, 0x1e629010, 0xb15d4cca, 0x625743c7, 0x54516d2c,
+    0x3f89eb91, 0xc91d0d11, 0xa72e9305, 0x2f18bd01, 0x3fc4338f, 0x6f8a84d1, 0xbca5c0b6, 0x17254343,
+    0x6a1a69f5, 0xf146983b, 0x673c441b, 0xf08ebc58, 0x4060b3bd, 0x5c6e937a, 0xeffbfafa, 0x3e368132,
+    0x91f752ca, 0x3df09f6f, 0xcaa1b859, 0xb0256786, 0x27ee18fd, 0xd19b0c8c, 0xf2b78e4f, 0xe84fd455,
+    0x26baa1e9, 0x24f297b2, 0x0bc94211, 0x65a21e82, 0x046673d6, 0x5a6b4c2e, 0x2ffd6c45, 0xaf3aead2,
+    0x6176bf5f, 0xc1af672c, 0xba3e7102, 0xbb512384, 0x1185ba82, 0x412bc3bc, 0xa726f3d7, 0x88c80530,
+    0x08a5126d, 0x14bbfb63, 0x877de814, 0x9f55ce3c, 0xd3bb9b33, 0x8dc27454, 0x3025d9af, 0xf2334500,
+    0x040d6125, 0xd175224f, 0x7ead416d, 0xadd1f85f, 0xdf20412c, 0x53f53131, 0x7a360545, 0x39da6ca9,
+    0x0e829fc7, 0x6b2b17a1, 0x26dd2eae, 0xf5f16d3d, 0x4eaa46bf, 0x9c0a5057, 0x896da55e, 0xa0b0eb15,
+    0xd956a39d, 0x05827e85, 0x4b703a09, 0x0695df54, 0x2a6ca0a3, 0xe3e2d293, 0x086244bd, 0x0d9e3157,
+    0x31ce61cb, 0xb03673bc, 0xc895cb0a, 0x278aa0a8, 0x30ca098b, 0xb08208a8, 0xd7b4b3cc, 0x50a02b13,
+    0xebf4752a, 0x7d3c36fc, 0xcc129c7e, 0xc71ad565, 0xc5d7ca3e, 0x4e998e87, 0xa0b97e98, 0x525e976b,
+    0xd6f83797, 0x0b4f127f, 0xa0167991, 0x1512c7aa, 0xf4d861c2, 0x12fb67c8, 0x9e09ef16, 0x893918d5,
+    0x89c42a00, 0xa0d1bba9, 0xa087ea4d, 0x238c2856, 0xe95999e3, 0xb8bb4961, 0x97a1686c, 0x70ce108c,
+    0xc5258b79, 0xb6ef1e4c, 0x8df7114d, 0x48c378e3, 0x02ab3f17, 0x8fd2bacc, 0x423622b9, 0x08a639ef,
+    0x0899180a, 0xca4ae93f, 0x7811cfff, 0x4d1acc1f, 0x910c9720, 0x5f616ec0, 0x27a744a6, 0x0e58b246,
+    0x15c61a0d, 0x93a9edac, 0x71dfe829, 0x6bb54489, 0x0e39b19e, 0xb543ed4b, 0x4804ee26, 0xdb7f112c,
+    0xc9a31cf6, 0x895be84c, 0x4b040a7b, 0x264b1b92, 0x40cb56ea, 0x0e265e2a, 0xdb00b8ed, 0xd194f77b,
+    0xa1c230fe, 0xf0cf20a2, 0x98552740, 0x0c2cd1a6, 0x60b37529, 0x44cb5ed4, 0xf0683131, 0x20dd05a7,
+    0xa2cf9352, 0xffd135bc, 0x7ce81c63, 0xd36e894c, 0xc93bd703, 0x3a80b72f, 0xd4d1a0e2, 0xaf581f75,
+    0x1c89ada9, 0x48eeb310, 0x7c60e6f8, 0x4f23b7a9, 0xbcf5a5aa, 0x954592ff, 0xa775055a, 0x2313da8f,
+    0x12897da6, 0x3429eeb0, 0x3dc6bf5d, 0xfa72f3b8, 0x7684e0e9, 0x825585de, 0xd7399263, 0x585a1060,
+    0x58abb1f4, 0x3f70f061, 0x5fb42229, 0x8f1cde12, 0x69656bfa, 0x9422f3dc, 0xb3315fdf, 0x6a807874,
+    0x36f2a469, 0x75d13d79, 0xaa1c2b4d, 0x6e20cf8a, 0x3d817cdb, 0xb51fa64a, 0x9eb0d6ee, 0x01ead351,
+    0x6ebb2037, 0x0ebc5805, 0xb21a8458, 0xccdb4fd6, 0x420864e4, 0xa1d29bbd, 0xa710fcf5, 0x8867d9c1,
+    0x9aefe98b, 0xc723e266, 0x410d1c23, 0xe0ba4eb3, 0x5f6c684c, 0x15b6e79f, 0x3eb35e12, 0x046ae2e6,
+    0x5a768533, 0xded11c93, 0x5a1ec864, 0x3fef80f0, 0xbf5a9768, 0xc5362528, 0x8b043b6d, 0xa920f43f,
+    0xd22de76f, 0xd1e60743, 0x010fc13e, 0xdf3f02f2, 0xf4268f89, 0x793f1dcb, 0x678b4a9f, 0xfaf3f6f7,
+    0x15ad548a, 0x5249c2ba, 0x646116c8, 0xb751852b, 0xca924a7a, 0xe80c8e73, 0xf9a79628, 0x4547b4ce,
+    0x76d5687f, 0xab5ab552, 0xccc39a44, 0x853a8eda, 0x513f2e67, 0x5dc735a6, 0x7202215b, 0x056ecf49,
+    0x235e7355, 0xf3037daf, 0x15c02a07, 0xc42b6d62, 0xa3a93583, 0x0b6a689e, 0x5ffaa56a, 0x278c751f,
+    0xc4aca3ee, 0x1e4aefb4, 0x8e31397e, 0xbfd5b9ef, 0x093568f2, 0x77a92fb0, 0x1768952a, 0x5c453fc8,
+    0x84d4b63e, 0x10f08073, 0x1728ac98, 0x150b4eb1, 0xedd350d8, 0x7f8825a0, 0xeecd7677, 0xd83c48d4,
+    0x252ea2c0, 0x717fbb31, 0x8394103e, 0xa70ea9a5, 0x8e40f0f1, 0x21d04343, 0x94408c45, 0x8454cfd2,
+    0x37300de4, 0x7e58dddb, 0x0efbb261, 0xa75f5f60, 0xdccab96a, 0x61d19fbf, 0xf145220c, 0xd602ff71,
+    0x8d780f47, 0x4ca81b51, 0x92438053, 0x5fd20daa, 0xab7d6ebc, 0xeb57905c, 0x26a15e1d, 0x31c2a9f2,
+    0xdbec1b91, 0xe8236fe4, 0xf98ea41d, 0x0c5cbe09, 0xc03dd2e1, 0x8689e34e, 0xa45ac54b, 0xff867232,
+    0x1f6b745a, 0xcebbed0f, 0x4e3e0ec8, 0x359e9797, 0x66ca18bd, 0x8e457160, 0x342d0544, 0x22b1cbf7,
+    0x39d9e574, 0x843c7ad4, 0x44329cac, 0xb50bb786, 0x9e4215e0, 0xb419d90b, 0x5bb563a1, 0x8e86fd7f,
+    0xf9b83244, 0x18be154f, 0x49a6fd7d, 0x14eecd68, 0x3b54d49a, 0x02391080, 0xdc0a1171, 0xee0b4029,
+    0xb276acc3, 0x4387c269, 0xd613f06d, 0x81747bbf, 0x79360fe7, 0x9431c2cb, 0x2672e596, 0x8a8b68f9,
+    0xd471a230, 0xb7faeb87, 0x010f564d, 0xce03f806, 0x1ea6fd5b, 0x4c674ada, 0x1a6daf05, 0xcab0dfc2,
+    0xa73ecd40, 0x34e6cfb5, 0x5820080c, 0x4a5cf5c9, 0x6ff822be, 0xb460071a, 0x97660a9d, 0x6d38e8d9,
+    0xde046a2d, 0x96ab2e29, 0xc97eda27, 0x79d62be3, 0x14039d39, 0x674743be, 0x542eaf1e, 0x868c1262,
+    0xb6271761, 0xe9789417, 0xd6ae2828, 0xc3464a71, 0xfa92c93e, 0x3cb3dbde, 0x12ed2b91, 0xd4fea8e8,
+    0xe51e0f1e, 0x8c98b8f5, 0x09c2ad6e, 0x4134c27b, 0x3ee697a6, 0xcde359f4, 0x00edbe64, 0x5261b5fd,
+    0x63607a23, 0x745a34f6, 0xbb03a745, 0x2c8a63fd, 0x31f1e916, 0x0d161ea5, 0xe11bfe41, 0x98363fc9,
+    0x81fc9808, 0xc28f2957, 0xd2ce41b9, 0x88c876a4, 0x18bff3ce, 0x81ace9d2, 0x3d48f36e, 0x87c38f3f,
+    0x0b783ff0, 0x392a5ee3, 0xad91486e, 0xc1bdd396, 0xb24cc5f9, 0x01e8e2b0, 0x2e4df753, 0x7b49c29e,
+    0xfe079249, 0x1b62fad8, 0x9f5af2e2, 0x8159db62, 0x87fcc22e, 0x430e2968, 0xe360a788, 0x61aafa60,
+    0x03d9e172, 0x31e92665, 0x6c4b7d29, 0xd1f98969, 0xfca101cb, 0xa4b7191d, 0x3849a2cb, 0x719b80f6,
+    0x63cf0205, 0x632a2df5, 0xb31a423e, 0x335ca8b5, 0xe62cb272, 0x0375d326, 0xa4c97048, 0x3d6c5931,
+    0x89f0ba6d, 0x8269c654, 0x744dc1f6, 0x3ebca8b7, 0x969596a7, 0x489b8672, 0xd790e1f6, 0x3add622e,
+    0x918cacba, 0xd67a0c31, 0x70d49bc2, 0x171436a1, 0xf587b225, 0x324dc364, 0x68e8b474, 0xf6b06564,
+    0xf01c34ff, 0xb01a9edc, 0xc963ea3a, 0x672666d5, 0xdd5fa11a, 0x5f0478dd, 0xb8b145c1, 0x97e36b07,
+    0x4fa31d8b, 0x9b8f9c07, 0x80ce9a57, 0xa5205992, 0x136d80ad, 0x6fd25882, 0x44708fe2, 0x9e4c7e31,
+    0x229d6355, 0xd4b38d4b, 0xe7d8283a, 0x09dd1825, 0xbbf733ef, 0x19e941a3, 0x19027427, 0x2409b298,
+    0xcda1c4bf, 0x17e446ea, 0x5f91b52e, 0xdaf01046, 0xc4c6b045, 0x912a105f, 0x66b676cd, 0x4a01f66f,
+    0xa0e5702c, 0x84e0a3a0, 0x4fc27927, 0x06ce5d0c, 0x11ec687f, 0xc0aa8791, 0x9ca90536, 0xbb105a6e,
+    0x9a627d80, 0xe2d6aba9, 0x9f5a00fb, 0x400fc1fb, 0x029de438, 0x919a17b6, 0xd4013168, 0xc0c7df82,
+    0x3f9a86c3, 0x40edb0e2, 0x45de1eb2, 0x7a72dca6, 0xa0735e29, 0xf08848fd, 0xec0fb5b7, 0xf1eeb382,
+    0xf135fd68, 0x9b9532b9, 0x4f18f4d3, 0x056348fd, 0xda436a1c, 0xa7c4c09d, 0x6417d7cc, 0x9b62eb77,
+    0x4d6fd66e, 0x6d000ff1, 0x8a3e6cfb, 0x55d0bbae, 0xfd49183d, 0x2517b51f, 0xb76df7f0, 0xe59163b3,
+    0x427d1096, 0x6c29c5f1, 0x8fb0dc17, 0xf6407776, 0x36bbe026, 0x17743c12, 0x0417d7a2, 0x02fc595c,
+    0x50aa0000, 0xf2ab8e06, 0xfd60c86d, 0xe0d41a2b, 0xed9680e1, 0x0b7869db, 0xdec1565f, 0x0bc9b54d,
+    0x7bb08226, 0x4b3af490, 0x1dc0e782, 0x6fc9396a, 0xc3597b8e, 0x355b8040, 0xa1500c7d, 0x38ff31bc,
+    0x33967b34, 0xa78fb8ef, 0x3db6aed9, 0xbabcfd5f, 0xfadbb809, 0x2cda00b7, 0x4ecfd17d, 0xbf7a428a,
+    0xd94815d9, 0x0086030c, 0x916ede03, 0x9a2666ad, 0x4590ad69, 0x4332615e, 0x9b2781cd, 0xa1175972,
+    0xabf122d8, 0x4ed4154d, 0xdf137ca5, 0xe69814b9, 0x92936199, 0x0e1ce387, 0x7629f5a1, 0x59226434,
+    0x87b7492c, 0x5c36cdcf, 0x9e557686, 0x3a7ff58c, 0x7bae7c5e, 0xd06e8d92, 0xbb1418f5, 0x6d48ae55,
+    0x79c28119, 0x8755c1a3, 0xfb922681, 0x06da83b3, 0xaa9025d9, 0x00570435, 0x4dcc76ee, 0x354edf3b,
+    0xed551806, 0xd2cbc8d4, 0x771f41d2, 0xf5ed1c62, 0xeffc88ac, 0x87e590ea, 0xc185ecb8, 0x3776f975,
+    0x448786aa, 0x29c23e8e, 0xaa6c299a, 0xaa427256, 0xc261a021, 0xaf54d243, 0x7123c09a, 0xcab02a54,
+    0x893244ef, 0x097430d4, 0x74f12484, 0x7f1c0524, 0x114e7a4b, 0x99c4d9b1, 0xcb11b45b, 0x75393aed,
+    0xf9e50f14, 0xcc4e8219, 0x27fabcc5, 0xd6449994, 0xd654c4c0, 0xf0fa28d6, 0xb871080d, 0xd611116a,
+    0x974e38ad, 0x4e05b7eb, 0x43109723, 0x9cb5928f, 0x271863fe, 0x07b80c05, 0xad418631, 0xc0386cfa,
+    0x1b87ac84, 0x4fd4697e, 0xfe82ea15, 0xe0d8accc, 0x5e481b69, 0xdc8b2a2a, 0x385e1bd0, 0x6e2b22c5,
+    0x09022e10, 0x0e445083, 0x73ff37ee, 0xf04523d7, 0x2fe24a67, 0x8f7efabd, 0xfdabfaeb, 0x96ca6eb5,
+    0x0a127472, 0x628e7298, 0x8a15c496, 0xcf885e22, 0x13e42f9e, 0xd0c9fc4e, 0x39d07b1b, 0x99004a82,
+    0xd3a0f40f, 0x46c7dfde, 0x234c460b, 0xfb116afe, 0x1a9fbd79, 0xf2db21ea, 0x85702942, 0x2cbd4cf5,
+    0xf305076e, 0xddc8196f, 0x5cd51e02, 0x57ec7563, 0x1233220c, 0x92c75619, 0x255fb1a2, 0x9de1947d,
+    0x1cc4a026, 0x088deef0, 0xed2c31dc, 0x9cf29cfa, 0xa288fcdc, 0xff1e3505, 0x9bc1891f, 0x85babb28,
+    0x53e40123, 0xd178f82f, 0x24a96639, 0x3abed0ef, 0x444a5714, 0x16e16170, 0xf07b564d, 0x67ba5c2e,
+    0xd9b07214, 0x02813b1a, 0x301793b9, 0xa7567e62, 0x28eb5631, 0xa0917148, 0x8fcd0121, 0x344e69e0,
+    0xb4142e1e, 0x6b5e9778, 0x2aa94fdf, 0xf9cad663, 0xddd91f44, 0x94846246, 0x0fa0a41d, 0xe8f07ab8,
+    0x8201b837, 0x5b842cd8, 0x72f428c5, 0x5fe533ec, 0x8d79f603, 0x4c5aee4f, 0xc487b667, 0x84c1b6a8,
+    0xafb61427, 0xe5b65bf6, 0x2b1d202e, 0xd722d7b3, 0x5cdb7d4f, 0x2ee47279, 0x951d3ee1, 0x264ff9a1,
+    0x50277a82, 0xabf9eb36, 0x38746464, 0x88c4c80d, 0x751fa3c4, 0xab28d7e8, 0x6a9e165e, 0x515b2877,
+    0x07b7ea57, 0xa3fb43f5, 0x22b254da, 0x4053e7bd, 0xa455a2fa, 0x7c4f831d, 0x53afb6e1, 0x9d1c8b17,
+    0xa075d926, 0x5de39a9b, 0x888a9b05, 0xd2b3f0d0, 0x0952a19f, 0x16843019, 0x0b356b2d, 0xad1e875b,
+    0x30945e61, 0x725dfeef, 0xada2a075, 0x89e8e534, 0x9c77d4fc, 0x81f114c2, 0xe7d004ab, 0xb451d845,
+    0xc948409d, 0x5885a074, 0xbc7b935b, 0x963669dc, 0x2f510257, 0xbd0304df, 0xc89baf9e, 0x57204b0c,
+    0x0e4f598d, 0x0bc7623d, 0x63ac70df, 0x8856e6d7, 0xf1cf5b5d, 0x6ad274ac, 0x9fbdd9fa, 0x1a1c0c78,
+    0x180d52ac, 0x7567fe45, 0xc446ab52, 0x4581412b, 0xe87bf6f4, 0xd75d962e, 0x78ff98b8, 0x82c54048,
+    0xd01333b1, 0xe4fa090b, 0xbec1d2d6, 0x1787d8c6, 0xaa159d95, 0xf2f321c3, 0x16baf64e, 0xa74e78b7,
+    0x716446e7, 0xfbcc2a39, 0x25599c2d, 0x52bb70eb, 0x8ea71455, 0xe99176bc, 0x0e8ade0b, 0x6e30932b,
+    0x2302fc8d, 0xcdeb4e47, 0xaebe984d, 0x5ba4c254, 0x3afecaef, 0xd8d2d854, 0xbe1363ac, 0x20bc096d,
+    0xd66d497b, 0x7459c6da, 0x161d69c8, 0x291c3331, 0xca1e2d04, 0xed8cb863, 0x0b8401de, 0x5c8804d1,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000012259964326927110866866776217202473468949912977468817408 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c55, 0xfe37b3ac,
+    0x00000000,
+    0x9e57da97, 0x1f3fff28, 0x54c37487, 0x889c38f4, 0xe78e5a04, 0xffed1876, 0x55ae21b9, 0x03d11edb,
+    0x4ac21a44, 0x45a9389f, 0x0a302cca, 0x39ab89d9, 0xf375b7c7, 0x08d713bd, 0x399ee1f9, 0x5d1b86c0,
+    0x4bc42c78, 0xf50bc61d, 0x83c477d0, 0xba9d06ea, 0x12b7edeb, 0x9a4dd16c, 0x3db44304, 0x664ca877,
+    0xdeef8e43, 0xe8d88ae5, 0x8d42322a, 0xc40bf717, 0xc645233a, 0xa2f9bd8a, 0x8780cf39, 0xf4b2b5aa,
+    0x911a2f03, 0xee893db7, 0xe65d53ed, 0x840d1310, 0x3c31c25d, 0xb62246e3, 0x015ba437, 0x0bc1ce88,
+    0xd3346d1e, 0xd95564dd, 0xe97df032, 0x63f97fa2, 0xea60ac2d, 0x59be1ad7, 0x4ab3a20d, 0xe9fa4a97,
+    0xe41fa002, 0x51deccfe, 0x13e5fae2, 0x15954b2c, 0x59e853e6, 0x5b95feeb, 0x74e0ef45, 0x0942751e,
+    0x233d250c, 0x7689fa60, 0x3b14c8ac, 0xb65b1116, 0x48ad99c3, 0x5ab55cfa, 0x3feba326, 0xd2adc80b,
+    0x22c94cef, 0x838d2d6c, 0xbde4f52c, 0x6145e03d, 0xa40f59c0, 0xcca027cb, 0x11914b4b, 0x28ee710b,
+    0x2623b74b, 0x1bb25216, 0xc0412319, 0x42259070, 0x7766072d, 0xe67a4b2e, 0x7033ea8c, 0x8a8c4af9,
+    0x6bca2c1e, 0x2d0c2257, 0x5f2a908c, 0x016b8d4a, 0x8f786775, 0x4ef3f3d3, 0x1101744c, 0xb65c119b,
+    0xee8576f4, 0xf9b5c665, 0x3f3e1892, 0xf40a953a, 0x0d144530, 0x8925cb1e, 0xefbadf55, 0xce1adf48,
+    0x1db0e07f, 0xb8114b93, 0xe8107af0, 0xbd150994, 0x38f81cfb, 0x170c1fc8, 0x6959356e, 0xd7147ddd,
+    0x70cf752a, 0x5097e80c, 0x2a306913, 0x4e790f6b, 0xbd090c43, 0x3dcdaa5a, 0x97cddcf6, 0xd3083473,
+    0x2925a370, 0xb79db602, 0x0cf3f4fa, 0x6a93f12f, 0xa22ad570, 0x58178de3, 0x83efd393, 0x1cad488b,
+    0x2c297bb7, 0xa97d9dc0, 0x5f6ebbd6, 0x782b8396, 0xe55252bc, 0xe57f0055, 0x7aa7573c, 0x38948ef2,
+    0x7780f9f4, 0x6fcf31e5, 0x18a3d516, 0xa488e4fe, 0x0a36cc53, 0x1d846164, 0x50b93145, 0xdd2011d7,
+    0x1122bda2, 0x2525e045, 0x08591fa5, 0x355bf886, 0x4108f519, 0x4e0ca85b, 0xfb53ada8, 0x4d1eafe4,
+    0x3c85c090, 0x71489a73, 0xcd2369bf, 0xa021cf21, 0x86aba646, 0x219db255, 0xff4d6fde, 0x041bc9be,
+    0x6136e9e4, 0xfabf6bf1, 0xb8302f39, 0x976db4c5, 0xffbb440a, 0x2ab04cd4, 0x47bf3c5a, 0xec2ed0ad,
+    0xe0dca256, 0xd9624b1e, 0xeee49d6e, 0x3ad08053, 0xf1ccbabe, 0x369c5ec8, 0xa3a0dcc6, 0x6db54a3e,
+    0xf27f4b3e, 0x35605aa0, 0xc03ccccf, 0x2a7482bc, 0xf2bc9ba4, 0x3ba21f77, 0x1fd4f117, 0xeef910c3,
+    0xf2186eaa, 0xe81f7b4c, 0xbadc6702, 0xb2cc9d5b, 0xb501cbbd, 0xefac3312, 0x628be09e, 0x63387ebd,
+    0x0868ac68, 0xd4e04240, 0x9aaefe79, 0x17086114, 0xcae5791f, 0x5810fa66, 0xc410a845, 0xe39b008f,
+    0x427b0612, 0x0680c266, 0xcbc68868, 0x7f602d50, 0x4af373fd, 0xcb45d4b8, 0xaf6994a5, 0x94da3c77,
+    0x7c9fa90b, 0x625912ac, 0x0175ded3, 0x933c9250, 0x6ebb7bdb, 0xd0f083e3, 0x4ceb72d8, 0x2e763763,
+    0xde477e56, 0x0b232b21, 0xbb3f7e6c, 0xf435feb8, 0x55b0911c, 0x9230b9c0, 0x6d067377, 0x24d8718d,
+    0x99f2399f, 0x01811f32, 0xd58e3db6, 0x74493969, 0x2d423aed, 0xa290b5a1, 0x02be4394, 0x36769405,
+    0x91816b5d, 0x29b88cbe, 0x0819c920, 0x45d06876, 0x5ae19185, 0xd0d96d16, 0x8fcec950, 0x6f7d5037,
+    0x220aa950, 0xe96cba49, 0x84ea4000, 0xdaf38e5f, 0x93afe17a, 0x153f94a1, 0x0d4486d6, 0xc181beb7,
+    0x78b90422, 0xc8d45a5f, 0x9f6f8ebf, 0x929d8fb1, 0x5ce5ec06, 0xca8c15a6, 0x0076b4e0, 0xf3b13f8f,
+    0xf68c9ee8, 0xd237a438, 0x27ea08e5, 0xf77fd60d, 0x0daac5e6, 0xe6deef3d, 0x0ad1305c, 0xa2c7869e,
+    0x136d833b, 0x61071521, 0xc8b914aa, 0xeccb9709, 0xe1769ed4, 0xbbe77ab8, 0x0233a39a, 0x4f1f69f9,
+    0xca04fa45, 0x3c870590, 0x3b694a76, 0x60a71f0c, 0x12d62811, 0xbc29a315, 0x73dc24bc, 0xc449aa31,
+    0x2e82cae6, 0x6dd7065f, 0xee59137d, 0x3bdaf827, 0xb6aff96b, 0xd6515df0, 0x7b5d85e4, 0xb5eed422,
+    0x1cfeca22, 0x8961a89d, 0xa3a9f9ec, 0xb04b51c6, 0x43d3c311, 0xa1670581, 0x4df4cbf4, 0xe6d218f6,
+    0x62eb8246, 0xec71c4ff, 0x4fc84b64, 0xcb9cb884, 0x380b2539, 0x01e40533, 0x445cab78, 0x82734454,
+    0xe3c404c4, 0x3cffcadb, 0xc2bae0c7, 0xf632dd16, 0x71cf59d5, 0x31ed1107, 0x7b5506eb, 0x742a2679,
+    0xf7ee6d55, 0xe246343f, 0x7064d12e, 0x14f983e9, 0xb71ab0f3, 0xef8e0856, 0xf561ad28, 0xb17932c1,
+    0x00884174, 0xe913cea8, 0xab4175a7, 0x3b3f5048, 0x2dae70cf, 0x1387dd10, 0x5310d232, 0xd62b4556,
+    0x6261645a, 0x9cecdd86, 0x30ed4174, 0x79de33c7, 0x1dc7802b, 0xa722083c, 0x4dc055a5, 0x1d264b0f,
+    0x27320e11, 0x7b9d420e, 0x5ba30947, 0xf88e129a, 0x16e6508e, 0x690f051a, 0x8728c033, 0xb6562f01,
+    0xd6feb7c1, 0xe57837cb, 0x769eaa9b, 0x078f7395, 0x920724ab, 0x06c98b5b, 0x8c882caf, 0xa2808984,
+    0x5753a783, 0xc0df3e02, 0x0750f617, 0xa4b1e2e4, 0x1953cdc2, 0xb5a3f7d7, 0x91c099da, 0xc829401b,
+    0xf8c65ff1, 0xbb1d9625, 0x4ed27ab7, 0x262dfc7c, 0x9a64e46e, 0xbccedc76, 0xbff95e65, 0xaf95d914,
+    0xc51fc7dc, 0x5a9eb0fd, 0x83d6026a, 0x17d6224d, 0xc830416f, 0x0c477682, 0x8b7ab7e7, 0x8c1af80c,
+    0xf6f0310a, 0xb1552977, 0xf9ebaaa8, 0x5e503f93, 0xb56e6089, 0xaf14eee2, 0x38fc74b6, 0x3e83bc3f,
+    0x13a089e7, 0x59f7167b, 0xcee4fb20, 0x64438887, 0x0bb079e8, 0x941ed87e, 0xae802013, 0x72f410c8,
+    0x09ff7e5e, 0xdfe3e49d, 0x0ab44e37, 0x08075549, 0x327bcb4d, 0x7c4f640b, 0xfe7d384a, 0xffa6ce1c,
+    0x8786aa43, 0x8df9dac3, 0x0382feba, 0xce415923, 0x58d98659, 0xdcc6a4b3, 0xec622027, 0xa9b1a7bd,
+    0x53b5ee9d, 0x9147023b, 0x7789f8d3, 0x376d0ea8, 0x7a45febb, 0xa9844de9, 0xa49107a5, 0x42cb88bc,
+    0x6e4907bf, 0xef837877, 0xab7b6fd6, 0x1aa7f630, 0xeb24bc1c, 0xb05d6ee5, 0x80a4748e, 0xc7850eb0,
+    0xeabe649b, 0x5e3d1df1, 0xda15a307, 0x073d11bf, 0x29a1bcfc, 0xb5545db8, 0x85e3b03e, 0x46a4ca07,
+    0x9ddcfa2e, 0x3fb7657c, 0xf2f9bd73, 0xe3b0e3fb, 0xa9f69deb, 0x683f37f4, 0x7624935f, 0x23b1f5f1,
+    0x943ec413, 0x0b329a53, 0xd32b961b, 0xe3d20210, 0x61dc7f5c, 0x5e1a2743, 0x84aee015, 0x224c029a,
+    0x416f8604, 0x0e8ec8f0, 0x74a0d810, 0x52f5a1cd, 0xaad91a38, 0x5d7ebb41, 0xec23162b, 0x0bec6852,
+    0x97c57e18, 0x1b0a5782, 0x6177db0e, 0xe4e18dcb, 0x8998a962, 0xdc17a128, 0x671f1543, 0xa28f1406,
+    0xf30d6427, 0xbd7dc623, 0x42512f2a, 0x55365d29, 0xcad8e4ea, 0xa2408867, 0x789acec7, 0xff91070f,
+    0x01260da0, 0x0ed315ba, 0xcafca1cd, 0xfbacd9bb, 0x2db79b47, 0xcf662aea, 0x1be5848c, 0x359acee1,
+    0x32149420, 0x27d98f7a, 0x371e4f1c, 0x44e150aa, 0x540d42d0, 0x5fbd9102, 0xed50d228, 0xccc03fdf,
+    0xe4dec8ab, 0x54977f5a, 0x8482ab85, 0xdc4dd739, 0x4067a55f, 0x1a7349ee, 0xcf77bab4, 0x94b39978,
+    0x9234cfe8, 0x3d92be3c, 0xd446a6eb, 0xa192370e, 0x990a3313, 0x4a08a8ec, 0x117a472f, 0x6b8375ba,
+    0x2a860a2f, 0x870e5f50, 0x2f082acf, 0x56e464ea, 0x7e1679d5, 0xad52c986, 0x31af5a41, 0x8b0c28e6,
+    0x0507ac04, 0x7d93b046, 0xfb8f008e, 0xf2580964, 0x0a0679bd, 0x588b373e, 0xf0561be3, 0x3bf64651,
+    0xed664f6b, 0x54511127, 0xefd252cc, 0xc61ddc2e, 0xca62aef7, 0xa53cb4ef, 0x1cec454a, 0x65a44e3f,
+    0x34373594, 0xef862650, 0xff771b90, 0x8d09a823, 0xdd08432f, 0xdff48270, 0x9fc6d5a8, 0x0fa8f5f1,
+    0x92bf8adf, 0x234762e7, 0x2895f4f8, 0x9190c444, 0xd6b49f25, 0x36b72003, 0x257c5035, 0xfeca12e8,
+    0x2b1041a5, 0x692aa5b3, 0xd7d2ed2f, 0xac4f04cd, 0x5c1ce725, 0x5a7261b0, 0xeeccbbd5, 0xa1d40a9d,
+    0x0d3dcba0, 0x422a1f23, 0xd1d50d51, 0x2b4956c7, 0x70125c12, 0xede217c4, 0x686f11da, 0xeb044978,
+    0xda4baa1e, 0xbd6d493d, 0xbbc7c711, 0xf7d952f2, 0xc0ab86bc, 0x3a519e73, 0xd7bb0e3e, 0x34bc88f5,
+    0xff87e60d, 0xdf92f02f, 0x72bc4b0a, 0xd99685d0, 0x310a602e, 0xb5e52c39, 0x1575ee63, 0x2ef5417a,
+    0x49567ba5, 0x96fe7711, 0xacab6898, 0x94e7700a, 0x0dc4e5e4, 0xe98e24b9, 0x08674732, 0xf94cad6b,
+    0x13bfba24, 0x722a0fea, 0xa516b70c, 0xb5e47b9f, 0xc8b854fe, 0xc22df982, 0x996b5f75, 0xd1636c4f,
+    0x2461c4d9, 0x1f4cb202, 0x13937116, 0x7594026c, 0xeb37863b, 0x58fd4164, 0x5f2cf635, 0xf2591590,
+    0x7fc96f54, 0xd9c96a20, 0x960900bc, 0xacca49d0, 0x6045f7d1, 0x4179e150, 0x96c126e4, 0x3c4975a0,
+    0xf9030122, 0xd203abba, 0x12ea942b, 0x36edab41, 0xf08c92db, 0x21e39eb9, 0x96d273e1, 0xc0cadd92,
+    0xfb309fb6, 0x0a1575dd, 0x16f15996, 0x36d3ec77, 0x5d02b91d, 0x3af5d88c, 0x10e66196, 0xd335cb92,
+    0x6aa9dc78, 0x916591e5, 0xb3f1f3a1, 0xe2868192, 0x6ad826b3, 0x34da0840, 0xc5c8bf78, 0x060f6cf0,
+    0x33fd48da, 0x43da319e, 0x611d3b68, 0xf809eb8a, 0xf241d028, 0x3b24313c, 0x9de767ae, 0xc9bbc1f6,
+    0x96353e0b, 0xb987ed32, 0xea07813b, 0xdc65a378, 0x92c45e0b, 0xaf133aa9, 0x245e8736, 0xfe28ed9e,
+    0x0a49a9b2, 0x768fb53f, 0xdba8b4ea, 0xe724a8eb, 0x0dc0442d, 0x63e49dbe, 0x18e880cc, 0xb9d195ac,
+    0x3093a6be, 0xb7f134b4, 0x6504cd18, 0xf85ad486, 0x34019c0b, 0x73619877, 0x7cff9839, 0xf9633d4e,
+    0x5e291209, 0x4a3eb14c, 0x18fc56c5, 0x011232b9, 0x4f241de5, 0x81ac285f, 0x92b89e92, 0xbf5b9d71,
+    0x9871f699, 0xe8da452e, 0xedce8219, 0x2a223a55, 0xe64ba5fa, 0xf69a47ec, 0xbe76c08b, 0x517ffef4,
+    0x22b09aa6, 0x30a4c2ef, 0x369ecba4, 0x60c5a8b8, 0xfe1dac52, 0x6bab017b, 0xd275717c, 0x779ded51,
+    0xd82a3c2d, 0xea228cfa, 0xbc7b52b3, 0xad195923, 0x6870da4e, 0x17199fe4, 0x9aba7c05, 0x96f7b247,
+    0xa2140019, 0x0afbbf45, 0xc1376e19, 0xd083c9fa, 0x46364c77, 0xda25aa97, 0x336b226f, 0x02d01fe6,
+    0x4c919427, 0x91c69528, 0xb56522f2, 0x4f2c57fa, 0xaeb93dee, 0x0e4fc11a, 0xfa86ad9e, 0x9f2eaa05,
+    0x54c102a5, 0x6147cf3d, 0xf9bedeca, 0xc3fd714d, 0xd6dcda20, 0x7117c5f4, 0x32bacb30, 0x9784bb0c,
+    0x0faf5cd0, 0x9d190bd7, 0x0e02f711, 0x54d48e89, 0xe74c00c3, 0xd2db0652, 0x48f04b2c, 0xe9db97a0,
+    0xa483e4c7, 0x99d7a910, 0x2de5f3a0, 0xdb4054ca, 0x1eca84fc, 0xb6e29bbc, 0x2d7c36b1, 0xe8081116,
+    0xa716317a, 0x504f6cef, 0xe884906f, 0x453b990f, 0x60fc4b00, 0x2ca0dd50, 0xabe00543, 0xd3109c1e,
+    0x18749f00, 0x9a465e23, 0x041ee8ec, 0x2007215f, 0x29a79c90, 0xfbcd7167, 0x2806350c, 0xdf25757e,
+    0xf33572f3, 0x740ef190, 0xb0e29d59, 0x714772b1, 0x6258593f, 0x953a47d9, 0x1cd093ce, 0x47ffd953,
+    0x6125c9ed, 0x635e9dc8, 0x0c2f14a1, 0x78e3df3d, 0x051a760e, 0x9d2804d5, 0x185d7ca3, 0x33ebeb5d,
+    0xbf96aa8a, 0x9bc20d52, 0xaa2553eb, 0xb98cb894, 0x0b2bcccd, 0x449caebd, 0xb6628ff8, 0x71a415b9,
+    0xa56db144, 0x4ddbeed6, 0x03a4eb1e, 0xae9f23b9, 0xf526d784, 0xd7c9aa95, 0x18d014e7, 0x4dffda71,
+    0x22e6a032, 0x3c1395c8, 0x1f28b011, 0xc157aba4, 0x68e644ad, 0x23885bb0, 0xda57e92e, 0xb32d27cc,
+    0xd4bce54f, 0xe8da6397, 0x129c4c4e, 0x4835ac5f, 0x035553e9, 0xab4ce301, 0x9d1b0bac, 0x1a4d3f4f,
+    0x217917cb, 0xf1b1d9aa, 0xa3ebbf36, 0xaf3c5f03, 0xe5006809, 0xadea1c69, 0x8183ab6a, 0x7f6b3a7b,
+    0xe0156e61, 0x026f3d1b, 0xb6725d73, 0xb7964865, 0xf12c14a9, 0x703a0f65, 0x728d48a6, 0x303e4703,
+    0xbf18790f, 0x385cb889, 0xcc9bf038, 0x543a6160, 0x03092f8a, 0x17be8486, 0x284c6015, 0xcef260cc,
+    0x2fc71b6e, 0x07b5cb99, 0x994fe99c, 0x9a426f9a, 0xf7100a7e, 0x5eef15bd, 0x50098c15, 0xdb265b9d,
+    0x5660fac2, 0x779d1438, 0x01a215b1, 0x6a6a76bb, 0x0efa5f55, 0x812d97bd, 0x93d37077, 0x319afb56,
+    0xf6173346, 0x63ab70c7, 0x32589397, 0x76662728, 0x0f35b25b, 0x5e23f5e3, 0xd7d1e1a9, 0x682ed36d,
+    0x7f58da42, 0x9dcfdd43, 0x72d452fd, 0x53ced321, 0x01f98d72, 0x87f1fd46, 0xfc6d8b75, 0x891eafa7,
+    0x15db884d, 0x8d181393, 0x6992f10a, 0x61453d3c, 0xe5404106, 0xdf833608, 0xf2bddb6f, 0xd8b5cbc8,
+    0x5705f864, 0x5729a20f, 0xde722ca6, 0x385c28e4, 0xed4460f2, 0x8be8203c, 0x60e68ab8, 0x4e1d997b,
+    0x861e910c, 0x1f9710eb, 0x4da20d7a, 0xefecc474, 0x753352f3, 0x7e6d0be2, 0x584ecc97, 0xeedf20a1,
+    0x763ce2a5, 0x26b436a0, 0xf4e587f7, 0xad5ff027, 0x27902ac2, 0x2f3ff56a, 0x501882fe, 0xbcf899b6,
+    0x4381c1b8, 0x88ef444f, 0x8e137b54, 0x09a597a3, 0xbf075a22, 0x5de23b64, 0xbcf10ded, 0xb1419706,
+    0x765f0111, 0xf24779a2, 0x6e4932be, 0x24003227, 0xf41c0b79, 0x5d216153, 0xf86f9f21, 0xfe0f8ee6,
+    0xc8e1d13f, 0xe8e93c60, 0xfc47a925, 0x86e06bb2, 0x0f459e68, 0x334318e3, 0x70a51c00, 0x649842b9,
+    0x10494272, 0xe70050e3, 0x890fd9e9, 0xdca02180, 0x6125d37e, 0xd43dcbae, 0x1397aafb, 0xc368d24b,
+    0x836e5ef7, 0x9f4edc94, 0xcf30912f, 0x1873a261, 0x4380abf4, 0x9134aee4, 0xa8c6563d, 0x01941fa5,
+    0xfd005062, 0x2c7fb9f6, 0x75ea84aa, 0x97dec154, 0xf26d3652, 0x60d6f05a, 0xfcdefe72, 0xa2eece0b,
+    0xf6666c74, 0xc745e63b, 0x12bf3dd7, 0xb61cc272, 0xbf009c81, 0xbe9d5275, 0x46cb77f9, 0x6fb9804d,
+    0x1ad013e8, 0xf1731515, 0x2a47cb4b, 0xfe4c812d, 0x240b5aed, 0x1109d2fc, 0x970cfcb5, 0x4dba51a7,
+    0x119efd23, 0xa8252a56, 0x177bc380, 0x6f9487c3, 0x86a35ef6, 0xae39ddaa, 0x768025d1, 0x09bed15f,
+    0xf3b65f7f, 0xd6bde289, 0x6cfb9262, 0xf5bc2add, 0x01404b72, 0xd6869efe, 0x8d8eff56, 0x18c30dce,
+    0xd2162f79, 0x7eef599d, 0x951eb385, 0x47c815ad, 0x800954fa, 0xdcc9f10f, 0xe8612200, 0xeb7267fa,
+    0xaf0962bb, 0x33c849cb, 0x1730e1f5, 0x8ef16128, 0x197169e0, 0xdcd401e1, 0x11a192e3, 0xe3e0ca20,
+    0x6824efdd, 0xb34f3352, 0x21ad9c2c, 0x0cf161b6, 0xcc18992f, 0xe3590458, 0xebe9523c, 0x5f82d967,
+    0x4081504f, 0x4e0e8e9a, 0xea0b1626, 0xdfffa154, 0x21f2dc30, 0x06c9775b, 0xc1a5985c, 0xefc8ce6c,
+    0xd82f7d4a, 0x0f28540e, 0x75262ecc, 0x05ae955a, 0x81578eb3, 0x7c25b8b4, 0x94ced9ce, 0xa6ff09d7,
+    0x11501127, 0x01fceddd, 0xe5390943, 0x7b6b5e96, 0xa55ce28e, 0xdf0d3243, 0x2f8279b0, 0xa02d5b76,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000006129982163463555433433388108601236734474956488734408704 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb62a, 0xff1bd9d5,
+    0x00000000,
+    0xc955ce38, 0x60998408, 0x654e96a2, 0x9761b4a1, 0xb7b68a1a, 0x4af5a505, 0x15484b5f, 0x5c7be68c,
+    0x757a5079, 0x29373756, 0x1736db8e, 0xbb381edd, 0xab55ed9e, 0x7d5b1518, 0xca5bfcb7, 0x47cb6ac3,
+    0xdbd3c334, 0x45bafba4, 0x3047f995, 0xcb21438b, 0x8df4207a, 0xab9c6959, 0xdca8d128, 0x1a6ebc39,
+    0xfac8dff0, 0xe9b6024c, 0x0d22790e, 0xf984c545, 0x27a0af1b, 0xc408d56d, 0x1affe553, 0x62739da9,
+    0x2798873a, 0x4a8bfee6, 0xdb3cb386, 0x331d92ce, 0x04fb095a, 0x149f4587, 0xf71390bc, 0xf706b08b,
+    0x78c18a50, 0xaaa9b6ab, 0xdffbf071, 0x4dc11589, 0x855e306d, 0xf91af7db, 0xf04ced25, 0xb9540a5e,
+    0xacb6c95e, 0x333eff12, 0xe506436f, 0x304d43d4, 0x6a254163, 0xefc705bc, 0xc4f7bace, 0x0b9d7326,
+    0x9253a4a3, 0xf3956f65, 0xc371185f, 0x602cc7c0, 0x19ba117b, 0xbd26b7d9, 0x7c4d7758, 0xab10c76c,
+    0x667c8e0a, 0xc97ae118, 0x40ef30e8, 0x5f45f094, 0xcadf8871, 0xf287ad0d, 0x1354210e, 0xdfab04a0,
+    0x0d5cd31e, 0x0a0899db, 0x0af3c986, 0xc1f31e87, 0xf0d88072, 0x3623722c, 0x55b539c0, 0x7f35fed4,
+    0x33a65270, 0xef4cbce2, 0x6a7e6344, 0xe7af2ea3, 0x3fdad2a2, 0xbd3192f6, 0x1d495e4e, 0xfd9add06,
+    0xae6dd2db, 0x7656a25e, 0x7a0c2e08, 0xa34ab0c0, 0xe2eb4455, 0xd8d2960b, 0x3f44f8e6, 0x2be87032,
+    0x87088891, 0x3238cba0, 0x5c95bef7, 0x2b228142, 0x84c8af52, 0x01c3f9ea, 0xc6d134a3, 0xc0ec39d1,
+    0xbd690bb5, 0x6a20a407, 0xa60c4389, 0xb30b2e87, 0xac13d1ba, 0x0364808e, 0x8e96784c, 0x0f0337b4,
+    0x54ad1f72, 0x708ae289, 0x4419e409, 0x59ebd180, 0x76410e5d, 0xf7ba09df, 0x46636982, 0xf0368f21,
+    0x48f2ee81, 0x8daf6943, 0x7887ec3a, 0x527b81af, 0x93b240f3, 0x35fab239, 0xef7e13a9, 0xb9f75127,
+    0xd41d09df, 0x993627d6, 0x905ed595, 0x4e63e029, 0x33d142e5, 0x1010f2f6, 0x829dcdf3, 0xf2ca3c51,
+    0x2e9b3b14, 0xc62e09f1, 0xa0d58a82, 0xcff64f2a, 0x20e3b212, 0x14564707, 0x29f9cea0, 0x442f08b9,
+    0x38998fbc, 0x87394b4f, 0x2dbf07be, 0x76dde456, 0xdb1b6b1b, 0x2f4fadb2, 0x3bf33b2b, 0xbf1b1e90,
+    0xb13aba03, 0xbf2d4e20, 0x7cbfaa77, 0xf7d5a2db, 0x52bf249e, 0x4131c47c, 0x4229bce4, 0x3ec92999,
+    0xfec579e3, 0x526caad2, 0xa9208fac, 0x62bdd817, 0xe179cbc4, 0x84fa96a2, 0x5e64ab29, 0x9d6967e4,
+    0x37c8a372, 0xc58ee7e8, 0x5479e2f1, 0xdbb33473, 0x2e246bc8, 0x040a6c87, 0xec80cefc, 0xdda27e69,
+    0x21757040, 0xff814514, 0x1b6e85ad, 0x7eefec29, 0x9f9fc056, 0x377f9c96, 0x196534dc, 0xd0cdb8c6,
+    0x97c8b3c0, 0xc2b34db5, 0x8737710d, 0xede4f16b, 0x7adc173a, 0xa831e509, 0x7d7a695a, 0x3b6e47e0,
+    0x5b12aba5, 0x09a3f30d, 0x3a25a5d7, 0xb69f24d3, 0xd39ac439, 0x49bd8eb0, 0xf88cf91d, 0x62c7d5fe,
+    0xcf7f78b5, 0x6528dc54, 0x2bd04a7f, 0x1a768080, 0x5c184191, 0xd5908c12, 0x3a949719, 0x900a177e,
+    0x2e0d0649, 0x64dd66c2, 0x05ddd68c, 0x2969bc1f, 0x6bba6d90, 0xf9a0c1ba, 0xdddd6a39, 0x94a2564b,
+    0xd7c823dc, 0xb27eef30, 0xfccc8745, 0x62343f67, 0xb00c7970, 0xbb3b2711, 0xe92728ba, 0x2df509b6,
+    0xe7e4ea39, 0x6d87e494, 0x1d05c7cf, 0xc9a8fcb9, 0x123ae8a0, 0x0a610918, 0xdc773854, 0x13ead2f1,
+    0x2c56603a, 0x1a902d6d, 0x6066e1e8, 0xdc4278b3, 0x0e1ba35a, 0xf4654f00, 0xfbf5f274, 0xea7262ef,
+    0xd3eb4a4b, 0xecec40b0, 0x31a8e13c, 0x6244f39a, 0x1746c5da, 0x957dd983, 0x541066ff, 0x083ab6b9,
+    0xdd7bdb04, 0x79bf106c, 0x1287caad, 0xdf9b7378, 0xc537cf1b, 0x1867d3e6, 0x205abdb4, 0xb9e78e08,
+    0x1293418a, 0x7175a6fa, 0x414a1d20, 0xa62e2c07, 0x5c1c9448, 0x2239023e, 0xac567980, 0xbdcd0fae,
+    0xcb42eb43, 0x540855be, 0xa3f998ff, 0xd3255393, 0xdfc6aeac, 0xa4682271, 0x257ac39f, 0xf78723f8,
+    0x54beaab5, 0x78682325, 0xa03694e2, 0x69520b06, 0xa18fc2e6, 0xa367d320, 0xb5749468, 0x39a48819,
+    0x18f0505f, 0x27a1bced, 0x75f3d9bc, 0x4bb50545, 0x8084a3b7, 0xb4440cff, 0xbadf6837, 0xeaa8a243,
+    0xbffcb347, 0x6b0cb2b8, 0x386c282d, 0x4493c6dc, 0xaf07ffe7, 0xf8945356, 0x762384eb, 0x52481bf8,
+    0xa309b603, 0x48037ae1, 0x97bcaf74, 0xb7f85121, 0xe988ab83, 0xc047c1a5, 0x8568e5a2, 0x9c10a79a,
+    0xe861825b, 0x5190008c, 0x89852061, 0x08cc6e0d, 0xb7b81960, 0x9e9a4ef9, 0xe6e70681, 0xe1ad57b1,
+    0xf3dd4cf3, 0x3e659b0d, 0x4247cf9c, 0x26f9240c, 0x8caf80fe, 0x13b0887b, 0x0ba153ff, 0x91fe1fef,
+    0xb6c9b987, 0xad6fa447, 0xc67119f6, 0x2323bf74, 0x01fb446c, 0x9daad765, 0x5eddd9ad, 0x0cb7838c,
+    0xa5b61710, 0xbd779630, 0x563dd435, 0x67689488, 0xc146bda8, 0x0e993c3e, 0xb201526d, 0x79785486,
+    0x1da84ab6, 0x9fab94ce, 0x7b343dd4, 0xba3d86ec, 0x9dc3e357, 0xc548f407, 0x6a2c6685, 0xfd29afb1,
+    0xc5358e12, 0x7d36a4ff, 0x6ae9006e, 0xa3317697, 0x36c167a7, 0x5a549f7e, 0x2d23657e, 0x3e903337,
+    0xed7a8b95, 0xec9d0abf, 0x114bc0fe, 0x2b88f829, 0x6bb90beb, 0x4ccc6284, 0x9a98aa81, 0x1b1e8301,
+    0x8d1d3c5d, 0xcf3bf3ba, 0xe48e80d9, 0x4777fdf9, 0x0fe4d2be, 0x05eae016, 0x3ba8a01b, 0x03c10313,
+    0x7c58a60f, 0xf1c7d73f, 0xad3b64fa, 0xbf2d854b, 0xc59dfe1b, 0x9b153e3b, 0x1a447e9e, 0x730c5e4d,
+    0x847a4eb1, 0x5afaab90, 0xe95727a0, 0x83bce79b, 0xcc8853c0, 0xa3e7df43, 0x11759ceb, 0x5ae6dbe7,
+    0x229411f2, 0x9162b4eb, 0xdf71b12d, 0x4dc9d44b, 0x256f0086, 0xa2f699b4, 0x1ea6a00d, 0xb7982a64,
+    0xf3b0e376, 0x048221ce, 0xc5b4c859, 0xcdbbca07, 0xc55c654c, 0x9f571d28, 0x9f2ce253, 0x3c889e89,
+    0x54572508, 0x2dde22fc, 0x45b47f6b, 0xb56f25b9, 0xaf738e9d, 0xdc077aec, 0x895858cc, 0x29c782df,
+    0x8661c590, 0x5baa9e43, 0xaa567fe7, 0xc4c9c69b, 0xcbd8db78, 0x58cddd99, 0xd1cc3e84, 0x133ad345,
+    0x35dc5b3b, 0x0838cd27, 0x38ab78dd, 0xcefb025e, 0xf147083d, 0x8cd604d5, 0x67ae0c0a, 0x50ecd8ee,
+    0x54b5f17a, 0x993b2d77, 0x61506806, 0x9c97cf27, 0x2f7f4154, 0xf4a08f2c, 0xe7f04622, 0x245a4198,
+    0x759ec0f0, 0xff311232, 0x8fb6010f, 0x3cbc877b, 0x6cf4bf0c, 0x389cd06b, 0x6ad6695f, 0xd6725389,
+    0x58135830, 0x27aa346e, 0x1df663ac, 0xa0623965, 0x32f06c34, 0x8cfdc68e, 0x19b561e6, 0x74faf886,
+    0xb98f663b, 0xc82869fa, 0xe35e457d, 0x253d6935, 0xae2a000b, 0x47d7b709, 0xfe164b2c, 0xc58215cf,
+    0xf42870b0, 0x777a050e, 0x31eeadab, 0x4deaba07, 0x3ac8674b, 0x8665d21b, 0xb27817a9, 0x715e5771,
+    0x14b4cf6c, 0x7418c520, 0x0a849294, 0x95285e26, 0x21b13856, 0xf56b16f0, 0x24b5bce8, 0xe561ba82,
+    0x8846b42d, 0xf91a985c, 0x23567dd0, 0x3450b333, 0x306716dd, 0x688e7743, 0x4cdc5cc4, 0xdfb4cc32,
+    0x10960a22, 0x016982c5, 0x789996c0, 0xe7ce8b15, 0xfcff3e14, 0xb164d3e0, 0x74d0d2f5, 0xbc0088e0,
+    0x1a24a98c, 0x50e2bb36, 0x1e221e64, 0xb14883fe, 0x8e8c28e7, 0x4319d88c, 0xa9a27f74, 0x4b2859d3,
+    0x98d2fd13, 0x803dc9bc, 0x1f04ed32, 0xcb617d26, 0x386ec27a, 0x05c66a35, 0x0098df46, 0x17d26e59,
+    0xb7a2191c, 0x81af7933, 0x69982222, 0xab60a714, 0x44115de3, 0xfeeb6ded, 0x4f853852, 0x9e43dfb1,
+    0xce5613d0, 0x874bc402, 0x298db9ed, 0xf6a4b69e, 0xc9af9ad9, 0x5814ca8c, 0x535166e4, 0x3fa25097,
+    0xf3d53bdb, 0xaaf6046c, 0x1e2bf146, 0xe0bf9be5, 0x763969de, 0x5566bc43, 0x2975b343, 0xe5cc0bbd,
+    0x37abcac9, 0xb5c50b94, 0x1ad4e506, 0x97b08596, 0x77c7f5c4, 0x3a69433f, 0x688b30e5, 0xfe746880,
+    0xf6a843e0, 0xf9a01fb5, 0x555b34f3, 0x0e2d193a, 0x52853257, 0x1bec9b6a, 0x30974654, 0x56c7fe92,
+    0x28732bbf, 0x05558a5f, 0x9b431389, 0xffb94b4e, 0xf27c8361, 0x97831633, 0x3d129fdf, 0x4bed69dd,
+    0x2e9dfc20, 0x187b7b78, 0x91e765a2, 0xead3f3bf, 0xdd282e7d, 0x62049601, 0x7a092ce1, 0x54e657b6,
+    0x3a4c2d6b, 0xd6184177, 0x53ef0b06, 0x8337c205, 0x4b7cfb16, 0xda5805fb, 0x977aabba, 0x03582587,
+    0xd3a16ddf, 0xe93be331, 0xadf944a4, 0x4d2d1196, 0x87cc1278, 0xdb11da29, 0xcfe2e34e, 0xcee0ffd2,
+    0x3e5efe79, 0xf4a5296e, 0x7e2e1c14, 0x633786cd, 0x5dfbbde9, 0x5ceb5730, 0x8eb05837, 0x271e98cc,
+    0xd8dd726f, 0x3e390f1d, 0x865c7c6a, 0xed4316b5, 0xcf5e3bbe, 0x35551259, 0x4ce776c3, 0xec8a5ade,
+    0x38e89788, 0x5fe253df, 0xb148894b, 0xa9d81407, 0x6c8cd9fb, 0x179dddcf, 0x7f7e73c7, 0xb15a48b4,
+    0x6d22c8b6, 0xb74de5a4, 0x737708b2, 0xd2e3f12c, 0xe5356dbf, 0xf7e68a26, 0xb40134af, 0x368e3a0e,
+    0x81da91d1, 0xecba926a, 0x66d378df, 0xead7e103, 0x9131aa51, 0xdace655b, 0x03570bfa, 0x6e438b6e,
+    0x643434dd, 0x56e80ba4, 0xb3daf811, 0x65fecc36, 0x1c69c4e9, 0x4acef2a2, 0xa323ceb1, 0x18881bad,
+    0xaf97da34, 0xe2bebf73, 0x2887d6f7, 0x4cc77c4a, 0xe9550681, 0x20ad808f, 0x76938b3e, 0xa393688c,
+    0xd4badf35, 0x61d5affb, 0x0f001426, 0xc0c7f9c5, 0x42bae84e, 0xe621517a, 0xe201ff2d, 0xd1dd06b3,
+    0x530c240e, 0x8a291c1a, 0x18fd9981, 0xb673b835, 0x410c2523, 0xa9e6dc3a, 0xe90a88b4, 0x17968975,
+    0x8a129cdc, 0x5d5374a0, 0x211a2f80, 0xeeac3929, 0xd3ca512d, 0xbb39747d, 0x18bad3df, 0x03c78fd2,
+    0x9c3bbe71, 0x1d9c2f59, 0xc2b92597, 0x4194d22c, 0x93df4d38, 0xea3125ec, 0x8ece0217, 0x40d8edbc,
+    0xd0fc153a, 0x9483ad68, 0x27fe3776, 0x0b2291c3, 0x1cb746f1, 0x5e3b27bb, 0x8a8abbcc, 0xaa4a56f2,
+    0x6efc6913, 0x8345bbe9, 0xc5f3e725, 0xb7841535, 0xad527f42, 0xe9c74e58, 0x46bac9c1, 0x6d5b9ea6,
+    0x07ad4915, 0xf0e4956f, 0x740ece9e, 0x304a92a7, 0x9a397118, 0xd72d584c, 0x135786de, 0x35ee73b0,
+    0x3bffeffa, 0x3109932a, 0x0685c458, 0xa369b5e7, 0x41a2c0ff, 0xe87db2d0, 0x24879071, 0xb0cdf647,
+    0x873062c6, 0x7d90a0af, 0xdf692010, 0x820e8bab, 0x48209662, 0x1db5d0a4, 0x4c583555, 0x5327a41c,
+    0x92c272a2, 0x1bddd25c, 0xf62ffb0d, 0xccb2b3e9, 0x0d3414bc, 0x449f6b74, 0xf646c255, 0x5a6f6536,
+    0xe7ed29b0, 0xb9ff3dc3, 0x10e34a7f, 0x31151484, 0x37eae702, 0x4f1c606a, 0x540213bc, 0xd1a12440,
+    0x7a54601c, 0x75d1bc62, 0x2721b318, 0x38b0d830, 0x8182787a, 0xc61131d8, 0xa8494ac6, 0x1304f21c,
+    0x0c3b624d, 0xe1ce7e34, 0xa35a9782, 0xc1cbcfb7, 0xfe78d59d, 0xf954949b, 0x9b2d7cf8, 0x0630deb4,
+    0x6a578ec7, 0x31938e8a, 0x46f9c2d2, 0x763c099f, 0x216665a2, 0xf64f0a49, 0xe57b1d41, 0x6ccf2150,
+    0xd68da1f0, 0xff07dc74, 0x68032959, 0xe12c8bd3, 0x01de39fb, 0xfab98b08, 0x618774b4, 0x67ac3d41,
+    0x2d52a814, 0xb40e4beb, 0x7b459e26, 0xc4f8b70f, 0x2a53ddca, 0x84c28ea0, 0xd7e99f77, 0xc9b193a2,
+    0x92ff3240, 0x469d5c51, 0x867605ac, 0xbf3cffc2, 0xc9c2b22b, 0x87030538, 0xdff4683d, 0x6f683101,
+    0x5e9d4d2c, 0x712acdbe, 0x9e0d6ee0, 0x3892a8a6, 0xa6371a96, 0x23875a90, 0xf5a4934c, 0x9f74ae08,
+    0xf0366564, 0x18a43d53, 0x4d3269fa, 0x2ef3081f, 0x063b6b37, 0x13af9616, 0xbe919d66, 0x7a11fb2e,
+    0xc56ed014, 0x733be6fb, 0xdc8cc28f, 0x8920cdbe, 0xeb37bac6, 0xdc4b44f3, 0x1215c3d8, 0x66d46732,
+    0x3c4dbe7e, 0x3d15c0ec, 0x4d991840, 0x1a1e5113, 0x98242bac, 0x7063048a, 0x9f4da7c0, 0xc9ce2743,
+    0x9fee9270, 0xde6123ca, 0xf3961830, 0x7df1dd26, 0x5e557e84, 0x2359596d, 0xa2f829d2, 0x82636ab0,
+    0xe113ba2c, 0x85bd8d51, 0xe0f326fc, 0x0fad6ab2, 0x995ccbc2, 0xd5d8ed67, 0x0a3f0954, 0x78d2d6b6,
+    0x74cc4328, 0xce4c47e9, 0x1c902554, 0xd975449f, 0x4035c195, 0xc32a1af7, 0x1a49caaf, 0x9f826860,
+    0x1f39652a, 0xfadb26a5, 0xa106bd54, 0x0f914c3b, 0x4ae97326, 0xb7518c6d, 0x1cfdb85c, 0xc4702cc2,
+    0x51015df0, 0xc273ccfb, 0x6e3d2715, 0x1d60b476, 0x6c4ed311, 0x8f653925, 0x16c67693, 0xaa42a3d9,
+    0x35a1fbbd, 0xe8509da4, 0xf9299615, 0x4976db74, 0x393642ca, 0xef8e5654, 0x1143dd50, 0x8064fa02,
+    0x75153b4c, 0x1ff5577c, 0x942f63c0, 0xe328a3e6, 0x3c9f2673, 0x30c2b53d, 0x7c6aa916, 0xf5333610,
+    0xc5606706, 0x8a4edbac, 0xca557c2e, 0x18ca1df8, 0x07850d1e, 0x4a56b589, 0x7bc46e1b, 0x91179644,
+    0xbf046841, 0x011cd2c3, 0x57b52549, 0x0d163e4d, 0xe08d0c68, 0x7f325cf3, 0xaf98d283, 0x3f0c4539,
+    0xddb12b3c, 0x2c176cba, 0x2a3a36c3, 0xb5380200, 0x2d857a1c, 0x6be33eed, 0xd265131b, 0x3b1d8380,
+    0xa7e6faf3, 0xa61ca007, 0xff9ade62, 0x9398a0ea, 0x4a5e0f1f, 0x02445696, 0x5dc10abf, 0x63f4f78f,
+    0x9350f1a0, 0xffd4ce6b, 0x0ea84fbf, 0xbb462621, 0xc16e9e1e, 0x6656d5ab, 0x039b03a6, 0x9dfa2e1b,
+    0x49a57113, 0x0c1ebe20, 0x90a28a64, 0xc9b6c2c6, 0xdf315f9d, 0xb64c5dc4, 0x00028e6e, 0x648ca74d,
+    0x16bc336d, 0x1da9149f, 0x41cf5158, 0xba382c96, 0x0c8dee8d, 0x0f6efacc, 0x0fff1081, 0xb994ee25,
+    0xc2aaca59, 0xa6277354, 0xa2d02e26, 0xdfb0a223, 0x710d93b6, 0xde6bdec7, 0xaa179101, 0x9a9a3357,
+    0x55dc0888, 0x935c1915, 0xec45716f, 0x0c4b08f8, 0x038d883c, 0x53c90f11, 0x16e2a0c6, 0x15aa2a60,
+    0x7c67822c, 0xfef489f5, 0x1731f8aa, 0x9d2a83c2, 0x637a1704, 0x294d6640, 0xf697d15a, 0xeb896855,
+    0xf37b4855, 0xa6036d63, 0x0c85700c, 0xc12f8eee, 0xc410abed, 0xb6371ec6, 0x264ca273, 0x308298ca,
+    0x239baf93, 0x2fd2b15e, 0x06cd3547, 0x663a156b, 0x34e31618, 0xf9ffc6ed, 0xddff408a, 0x9996eede,
+    0x13ea3c51, 0xc45ecdca, 0xdd6b8ad5, 0x29f695d2, 0x1633f26a, 0x372abf67, 0x0349cffb, 0xc708ed53,
+    0x8688c25c, 0xa54fb9e2, 0x3aa34b99, 0xf6c383b1, 0x6a4871dc, 0x8f5e7e47, 0x80ccf205, 0xaa0be354,
+    0x112f9459, 0x57211888, 0xeef1f450, 0x4e3a75be, 0x11529779, 0x131a3260, 0x51ab80a3, 0x19142691,
+    0xdfa3d34c, 0xfa9ca50f, 0xc03fd78f, 0x1bd0e6db, 0x6977a6f1, 0xbfa909ad, 0xedc892a4, 0x592f8cfd,
+    0xda48e901, 0xa861c489, 0xfd237913, 0x61cff68e, 0x5f893db1, 0xb499d776, 0x8370c2bf, 0x14fed048,
+    0xa6fd5ffb, 0xd186d5e8, 0x0dfef59d, 0x2a40c182, 0x0953dcf7, 0x7553521f, 0x68e0cc2b, 0xa8061282,
+    0x7e731be3, 0x8008c80c, 0x68fe1860, 0xdef2b083, 0xb9ff39c9, 0x9dd8113d, 0x167514a0, 0x1e7f28f5,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000003064991081731777716716694054300618367237478244367204352 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b15, 0x7f8decea,
+    0x00000000,
+    0xa0887eaa, 0xb0374009, 0x02b1ffae, 0x4bda2886, 0xe1121168, 0x4d8b0b4a, 0x607eef38, 0x75f1bc3f,
+    0x28e77756, 0x334d256b, 0x9b1e8e92, 0xf2dd5e57, 0x16490aef, 0xf2729ab7, 0x92af9848, 0xe07ce2eb,
+    0xbbcdcec2, 0x8a07e8d0, 0x0ddaa12c, 0xb36be992, 0x9674cde7, 0x4b40c15d, 0xb2654258, 0x4d8a7bd3,
+    0x84dd3ad3, 0x870eadb1, 0x38f517f4, 0x1878fd74, 0x8865996c, 0x122d62a6, 0x94f523fd, 0x448ed254,
+    0xff9e667f, 0xa7c1009a, 0xf369c3ab, 0x4dbc6e60, 0xd24c131d, 0x12bdcb13, 0x44c50dd0, 0x99cfb23b,
+    0x440727ad, 0xc700181d, 0x27abbb60, 0x1ba10c40, 0xaf2e23eb, 0x25c226d2, 0x273a8c88, 0xd4d88116,
+    0x180b2de3, 0xc2c9bf82, 0xc594c09b, 0x8fca155c, 0xaea1ce0e, 0x072b7f62, 0xab690e89, 0x66a2cb78,
+    0x5bd90688, 0xfbd8322c, 0x8a2322c2, 0x9f3435a7, 0x3183b39f, 0xdb31b272, 0xaeeaea41, 0xaf104253,
+    0xebabb043, 0xcba18d51, 0x1522ac10, 0x735ccf88, 0xc26e6254, 0x73b0e746, 0x0f477de0, 0x79bea4be,
+    0x755ee301, 0xc762ee78, 0x88b745f9, 0x85b8eee7, 0x06454a51, 0x19329cdc, 0xbd1c5f5c, 0xb1adafa0,
+    0xb48ed407, 0xb1cb396a, 0xd9a19491, 0x4c6650e1, 0xcc7c23b5, 0x3c43eb38, 0xc92c3618, 0xe02d62c3,
+    0x8c31b2f2, 0x034f350e, 0xc1f91ecf, 0x53a6a56c, 0xa7167204, 0x77678be6, 0xcb23b477, 0x946f9dbd,
+    0x18996d87, 0x61054e8c, 0xc8dfebe5, 0xca9e7067, 0xe7597165, 0x309202b3, 0xb16f63ec, 0x3a5eb556,
+    0xc0e7af57, 0xc9736fdb, 0x51621169, 0x2fe41de9, 0x919c02ea, 0x6ba321fb, 0x0c17096f, 0x648cec9d,
+    0x117c888c, 0xd6336fc7, 0x4c8d1064, 0x878e39c7, 0xb26d8171, 0x303da731, 0xdb63a253, 0xce496327,
+    0x3cfaf86f, 0x6e986cab, 0xf5891aac, 0xf1ae1b60, 0x33b37350, 0x91ca41d0, 0x71e1b7a0, 0x9a0b9d81,
+    0x12b0fefd, 0xac0e6c25, 0x5cdf47e7, 0x1b4d3dde, 0xb50884e1, 0x1a2784ba, 0x99a91715, 0x201a1b53,
+    0x5f9e6d87, 0x9bec6157, 0xe23c3c38, 0x9c08224e, 0xd59ffc58, 0x93513342, 0x1eb33732, 0xeb875689,
+    0xd2dd8792, 0xdcf0648f, 0x812789e0, 0x3806cad0, 0xaaa3254e, 0x6c0e27d1, 0xcdb0aa4c, 0x7790f78b,
+    0x6ba21d68, 0xf2e5a03a, 0x6ed6b15a, 0x979494d1, 0x34fd6a01, 0xa9ddaf11, 0x2b1151e1, 0x2e034e24,
+    0xbad5109e, 0x470c8850, 0x93bbd4bb, 0xe0b3d1da, 0xbebfbc20, 0xdaf889d7, 0xb2952b57, 0x559468c9,
+    0x2ad0e7c4, 0x3239d970, 0xdafc1833, 0xb7042a41, 0xa9698fd5, 0x82f19f54, 0x06203f6b, 0xb7f8c634,
+    0x12b949ab, 0x0dc87856, 0xa99c3a2b, 0x1a905197, 0x9e659c53, 0xefe42092, 0xf50c9f81, 0x346a6727,
+    0x9de87f5c, 0xadc060b3, 0xd0d1cd0c, 0xf066022c, 0x55853919, 0x0e987d36, 0x54330928, 0xbd703d89,
+    0x47798f6b, 0x09ad86b4, 0x77f7e74b, 0x52c000f2, 0x6f2989a3, 0xd886f6e2, 0xb829d830, 0xfe5aea95,
+    0xba10605f, 0xbb579fff, 0x86d3bbe1, 0x1bc19a15, 0x8977e880, 0x8f184904, 0xfe553030, 0x889fa86a,
+    0xbc63bb1f, 0x407e8e01, 0x079c4d1e, 0xab4caeca, 0xc63b7ab5, 0x5460e087, 0x73ca2405, 0x687311fd,
+    0x78fd8c48, 0x626cdc80, 0xd6cafff5, 0x22b3e731, 0x772d4300, 0x727e239d, 0x4843b72e, 0xa505163e,
+    0xf4228493, 0xf168e5d2, 0x6f68a271, 0xe72fb922, 0x1b81fc1d, 0x10d90c93, 0x2fb43637, 0x3c0b4d15,
+    0x297d35b3, 0x5bd79eb8, 0xf5f26eba, 0xfaeb0d74, 0x11158b64, 0x80a9c6f6, 0xd514db83, 0xb36371ad,
+    0x1e104591, 0x46e6068a, 0xec50f7a5, 0x9a09ae81, 0x51618801, 0xc84ac07e, 0x21390282, 0xdff71abd,
+    0xabca274f, 0x54700c7d, 0xa050dc58, 0x08d0fbc5, 0x31c51ccc, 0x81597fd2, 0x46092f76, 0x917a14fb,
+    0xf954b134, 0x854bb52f, 0xf19ad93e, 0xa38bd7b1, 0x02839345, 0x860c3a02, 0x9ff91a48, 0x42e65f97,
+    0x4d5eff40, 0x5a227115, 0xea8077e3, 0x82446a0d, 0x0c7c1608, 0x7ad1151a, 0x007ffd62, 0xd20d1b3a,
+    0x558c53f8, 0x65eaeb37, 0x3e4ce682, 0xa46206ae, 0x71541f96, 0x215dbc66, 0x84c77afc, 0xc41dc838,
+    0x97f13148, 0x8eadaddc, 0x4020c8a6, 0x169eac43, 0x8003c0b1, 0x44097c1d, 0x29202b41, 0x96462219,
+    0x0e162ea0, 0x6f8c1f4d, 0xc64e9174, 0x88ccd304, 0x9a1bed0a, 0x58ced6e8, 0xc8797e98, 0xca1d823a,
+    0x696dacd2, 0x8b8d4b7b, 0x2c91dddb, 0xad62bd4a, 0xbad496f8, 0x2996914f, 0xa36c5e93, 0x9918f947,
+    0x56128bca, 0xe373a528, 0xba5c3bb2, 0xeb0f3c07, 0xe6a4b633, 0xb21aa3e8, 0x58a4b13d, 0xa1fcdf61,
+    0x8674081a, 0x6f89927c, 0x069d9b5b, 0x9cad8f2e, 0x395fb972, 0x2e14411d, 0xa8e3e074, 0xffbc645d,
+    0x752eeb61, 0x8c3f5dd1, 0x4ece519f, 0x95734c90, 0x9563a545, 0xba5cc196, 0x625a7dae, 0xa535e8a1,
+    0xe42c4058, 0xc6df9008, 0x76dbda2b, 0x7d902506, 0xf5c58a22, 0x1d7516da, 0x843feb53, 0x11a53846,
+    0xbf20c0fd, 0xc39aec3b, 0x3e19a65d, 0x9043ede6, 0xcc5af961, 0xb9055ba2, 0x4d61815b, 0x4f78dbc4,
+    0x27bbc194, 0x18c8a6bc, 0xbc5de141, 0xeb100fcc, 0xb25f8eea, 0xfa917f52, 0xb7191eed, 0x33d8e482,
+    0xc33a882a, 0x95f1a378, 0x90390b6f, 0x099a321e, 0xdbefd9b5, 0x93953045, 0xb4ee0ad2, 0xb089c032,
+    0x56a52eaa, 0x2e1eed42, 0x8460004c, 0xd349248d, 0xf3fbac8e, 0x04e4ff59, 0x7f3d7dde, 0xb3c173aa,
+    0xf701556f, 0xd041599b, 0x2b1c9cd7, 0xbd839fdf, 0xc73b3712, 0xace6a530, 0x826f5dcb, 0xe1795222,
+    0x9787ce6d, 0xc15f107b, 0x278f716c, 0x2542a0e9, 0xc5014c48, 0x2cefb0c8, 0xd08c6dc0, 0xa85c569a,
+    0x69b49569, 0x951dab55, 0xc3969f8b, 0x0d84b025, 0xb5b970b3, 0xb5b82253, 0x5f872961, 0x6375cf09,
+    0xa4760b26, 0xdfd030ad, 0x91bd7e8d, 0x5e7bb71e, 0x508f7ce7, 0x1cf90290, 0x22adb8a4, 0x9f78f419,
+    0x27e9d8a0, 0x048653c2, 0x370c9bdb, 0xf53a1bb9, 0x578d0431, 0xc6f76391, 0x4d767830, 0xdb9448d7,
+    0x09320480, 0x70b4c8d6, 0x300d15c1, 0x816299ab, 0xf24def8f, 0x2976ccbb, 0xea6404f2, 0x4cc282da,
+    0xc850fd7d, 0xdc099bcb, 0x7e1b19e8, 0xd27e0152, 0xcf053db0, 0x7f329b30, 0xdc8f9096, 0x41cc3ac6,
+    0x8c20d23a, 0x324af4a9, 0xf4336ce3, 0xbc0cd1f9, 0xed4c648b, 0x8c02d26b, 0x9c7f4dbc, 0xb7cf802a,
+    0x79085015, 0x0c6d2ec6, 0xdf3a65b2, 0x5c8f2733, 0x1c2ba888, 0x2d6fcd83, 0xf26203c7, 0xc529a9e1,
+    0x5ffbe80f, 0x1c7619db, 0x625cf002, 0x28fd83b3, 0xb4440e71, 0xa1309e84, 0x5fd87bdc, 0x1da7bdc4,
+    0x2f4d2633, 0x147de293, 0xc0ee2260, 0x2756d0c4, 0x71f6f1c7, 0xc20fbf61, 0x8edfdc71, 0xecff1900,
+    0x3762c6ea, 0x2435e79b, 0xb693dd28, 0x160bda2f, 0x00d796cc, 0x74206348, 0xa4ff3d89, 0xd940435c,
+    0x665979f1, 0x279981b1, 0xe38b874a, 0xa86f970b, 0x0caab76b, 0x576e6e3a, 0xd2106486, 0x003128f7,
+    0xa3dae838, 0x6510f6fd, 0xed1ab043, 0x5462479a, 0x83ce8d28, 0x5cfece49, 0x85016b68, 0xdb9e6f27,
+    0x41149923, 0xd2ed58c4, 0x40160c86, 0x88a3c41c, 0x4a5e2409, 0xda957cff, 0x78740a33, 0x32d0d9ed,
+    0xc31ee63a, 0x8ac73dfa, 0x0efae917, 0xcd7bd83a, 0x331b7fce, 0xaf857538, 0x0b7805d4, 0x5c9d8402,
+    0x576b190e, 0xcc204f2c, 0xfd7b35a0, 0x1cfffbd1, 0x4f1e031a, 0xe2b0d6f4, 0x16b30714, 0x26084f18,
+    0x74cf972e, 0x5c821ce9, 0xdb8b502c, 0x0843b6cf, 0xf55f7ac5, 0xf61f96ae, 0xeb4c8d5a, 0x8b972a0a,
+    0xd6951026, 0x7fbb4aae, 0xc2a858bc, 0xdcd476df, 0x82b0ac3b, 0x8d11b265, 0x15dde29e, 0x0f5a470f,
+    0xc25e5bba, 0xc24f6f90, 0xc478554f, 0x4b87d9ed, 0xca14797b, 0x25e66f19, 0x63f37b2e, 0x0923e5cf,
+    0x4a34e9f9, 0xbef7a3be, 0x864d90bb, 0x74d73ed1, 0x2b71e616, 0x2bbd8335, 0xce85b923, 0x9441655a,
+    0xe9477e5f, 0x5c05e0dc, 0xc49e6ced, 0x934cb143, 0xebcd894c, 0xc7381a35, 0x9aa95843, 0xa8e16887,
+    0xf0228089, 0x928fdf45, 0xda8fb29b, 0xfaa6ee28, 0x7c03d122, 0x649526a9, 0x0cd454c8, 0xd6b8a535,
+    0x95d73be2, 0x9ad3d182, 0x1b7da744, 0x106696db, 0xa45364ec, 0xfb6f2c63, 0x2562cef7, 0x3818aafa,
+    0x28941128, 0x552edec4, 0x9d09462e, 0x27a99986, 0x97b110d9, 0x11b4c8be, 0x73c2246d, 0x0fa1f8ca,
+    0x69da677a, 0x544906a0, 0x91c87086, 0x5f3ed905, 0x83f980b0, 0x95717bb8, 0xda2dd139, 0x25a5b341,
+    0x8730c310, 0x958d1087, 0x82719d68, 0xb4298886, 0x934b6d29, 0x214b9c94, 0x857b345d, 0x1bd85c70,
+    0xd7a2c9ec, 0xd1726941, 0x1058340e, 0x28a38fa5, 0x6428d638, 0x0eccec68, 0xc6d90c9e, 0x57b122e7,
+    0x6c00a19f, 0x18854661, 0x35eab752, 0x16698720, 0x41610f77, 0xb4b37b58, 0x0d45efbb, 0xe7dfaff9,
+    0x5b834f27, 0x35ae7245, 0x5c0d6a2b, 0xee69419d, 0xcc06f0b6, 0x8d0002fc, 0x74db4584, 0x77e13426,
+    0x078ac4f8, 0x28d7ea5c, 0xbe1158b4, 0x82fe065e, 0x1e3dc8fc, 0xe07dfa0a, 0x7e3bef8e, 0x95e559ba,
+    0x7e8e8cc1, 0x22e74eef, 0x98856374, 0x4b07ed76, 0xbba38fe5, 0xd41686bb, 0x22dd1a04, 0x8c8b9e58,
+    0xf6fb361e, 0xaab5e511, 0x4da84752, 0x58af0d8d, 0x223003b2, 0xc234b909, 0xa0bee56f, 0xe8de0ee1,
+    0x9e35d6ee, 0x6cf03eba, 0x273345bc, 0xb4282eca, 0x5cbaea1c, 0x7bec875f, 0x2457c3e6, 0x1d31d9c4,
+    0x033ee773, 0xb1c032d4, 0xcf16168c, 0x09962731, 0x9b2f8681, 0x5d3b29f3, 0xcdfcf958, 0xd6d5439c,
+    0x4d02dd18, 0x9424557f, 0xf5f1dd78, 0xb7a4461a, 0x8e6f4940, 0x0f88e8cb, 0xffac2b4e, 0x3bb92cca,
+    0x9974bc3e, 0x961e0d11, 0x878951e5, 0xcf9adfcc, 0xf1656fd9, 0x35e997e0, 0xd2314b4c, 0xee2ac5e7,
+    0x66db5f18, 0xdaa22849, 0x5d07f027, 0x96f2f26d, 0xc8d95398, 0x7143a60d, 0x79294a7d, 0x18433389,
+    0xa2bd64bc, 0xae10e77f, 0x7b702d1b, 0x91c226d7, 0x594a867f, 0xbf61ec25, 0xa6b06b68, 0x4a069bf3,
+    0x69ae114b, 0x03135ad9, 0x55777022, 0xff5a471e, 0x7dcfadea, 0x32b9c572, 0x270acc8d, 0x8a6f1d10,
+    0xd7d9f1f3, 0xd175e538, 0xc1df91b9, 0x1f3b79cf, 0x65988328, 0x0c90969c, 0x40b09b9c, 0x175abe67,
+    0x7c5c45e3, 0x295c7cbe, 0x256c18db, 0x0341417e, 0xd15ac323, 0xbf6a2f1f, 0xabdb4715, 0x980b42a6,
+    0xc3d39be4, 0xd65f7fbb, 0x383225b9, 0x6c24ec74, 0x9712ba0a, 0x4907e90b, 0xddd17148, 0x66a34c00,
+    0x339d801a, 0x5572bf0c, 0x6f1b72f9, 0xc6fc0f42, 0x9d03de41, 0xa868f19d, 0xd22fb72b, 0x3bdf71ec,
+    0xb0878ba3, 0x67956bea, 0x16a2a70a, 0x3e73b11f, 0x306b46f4, 0x8ebb9058, 0x2774b555, 0xfc20e582,
+    0xf034b5d4, 0x0756b769, 0x86f52540, 0xd8ed2a30, 0x0dfcd309, 0x063b8fd1, 0x86fe8f66, 0x72efd36a,
+    0x940263fa, 0x2e457eb9, 0x71243acd, 0x3759fb43, 0x4ce788c9, 0xbf7dc739, 0x143ba48e, 0x73b2e1f6,
+    0xa8611564, 0x809c7eb6, 0x761ee191, 0x0889a145, 0x6f2bd11b, 0x33277af0, 0xfb824b06, 0x385764dc,
+    0x29256cda, 0xfac207fc, 0x79d4ab8e, 0xb5f46c45, 0xafb3bde3, 0xec637444, 0x2997957b, 0xc082fac2,
+    0x11272340, 0xabe50448, 0x546b1867, 0x607ad8ff, 0x0699f7bb, 0x5d412e87, 0xafc3cca2, 0x7bd51388,
+    0xff28df8c, 0x92bf4b1d, 0xb017bcb9, 0x4b337132, 0xd7ea5145, 0xa3db45e6, 0xd506f8f1, 0x9394cc3a,
+    0x4d7e773b, 0x442682c9, 0x7c494590, 0x75e1819c, 0x2bbf934c, 0x4e90deca, 0x60a817c0, 0x4708880e,
+    0xfbfe01d2, 0xbfb68dd4, 0x85b8dd18, 0xdf667381, 0xb8261339, 0xa83aa0d6, 0x962d7ed3, 0xa808dada,
+    0x4a68ce66, 0x117580d9, 0x9dc3b534, 0x26eb2a6c, 0xd050843c, 0xba97c0c6, 0x59539a4b, 0xb088304b,
+    0xe44f6c61, 0x439d55c8, 0x98432d2c, 0x4e532ae7, 0x411baeb0, 0xf6e7d0d1, 0xd8dd770b, 0xff9cf61e,
+    0xc030b483, 0x1e2f7618, 0x0fd6635e, 0xefa8baee, 0x7079694b, 0x4d323757, 0x14f37865, 0xcabdbb80,
+    0xaaa71af9, 0xd49f1c2a, 0x2605b97b, 0x26f23f97, 0xbbf5496c, 0x9d68218e, 0xeb7b0163, 0x9c198e1b,
+    0x41c98004, 0x0e087954, 0x29b959aa, 0xb0790a95, 0x7d3ff7e7, 0x6a68337e, 0xb5f77bfa, 0xdaacac81,
+    0xc5f7a962, 0xfab3b34c, 0x9208d65a, 0x190d19ec, 0x7bfc8a76, 0x111e5486, 0xc8ec3b3f, 0x3bc8db76,
+    0xd9be4600, 0x08e87e42, 0x1cf73a09, 0x5028e424, 0x66afc688, 0x4595f1f6, 0xd135548f, 0xb483a2f4,
+    0x483cf75e, 0x51c215c1, 0x911edef2, 0x90192d8e, 0xe31f7a05, 0x759640b5, 0xc973d642, 0x0c8dcd41,
+    0xec030baf, 0xa530cf97, 0x2bd01891, 0xbf7004d3, 0xab740296, 0x8d6042a0, 0x42f2a2a8, 0x81eb1f34,
+    0x27180244, 0xa8878818, 0x694a27c0, 0x4cd949d5, 0x37e2201d, 0xcb8f209b, 0x507ace20, 0x48d5960e,
+    0x5ea837b3, 0x14a561d3, 0x2a771348, 0xa127b315, 0x1d01a1a0, 0xd1774767, 0xa8b80433, 0x5e90913f,
+    0x60ab5cb2, 0xb35edd5c, 0xea0d32ea, 0x5b87dc55, 0x0d7afee0, 0xc0cfbf33, 0x88b12119, 0xc87ecda7,
+    0x73101500, 0x3f3be395, 0x85037af1, 0xfd6700a9, 0x63874211, 0x0b7a4591, 0xd9716ff3, 0x22cacf6d,
+    0x4b62a368, 0xf3c8a5ad, 0x1969e59f, 0x5b7013fd, 0xa0154857, 0x0fa7d444, 0xeaca788d, 0xd48fbab9,
+    0x3afa113b, 0x8f0db16d, 0x731b6b81, 0xa36ff356, 0x99ad2792, 0x009c9a36, 0x2fc73c6c, 0xb230e03e,
+    0x897466a7, 0x6cec3ee6, 0x00b2074f, 0x28e2d505, 0x1ba02102, 0x87e6b308, 0xa72b128c, 0x8b83ddaa,
+    0xd9dc1a8e, 0x3e1de672, 0xd3ad0433, 0xdc3d5c35, 0xeb275faf, 0x3e361fb3, 0x2a313e53, 0x5be73a8f,
+    0x1d69d35e, 0x8d7fd025, 0xacb5eda7, 0xff6e2d50, 0x98ccb497, 0x5a09de5e, 0x4d8e8293, 0xfb4dec51,
+    0xf9ec3a95, 0xff5ff608, 0x6813c51c, 0x68cde134, 0xc2e56cd9, 0xddf75fe4, 0x6961a266, 0x1692ebca,
+    0x5d7bf1d4, 0xce1fd663, 0xcfc73fd2, 0x9c546f33, 0xeb7a83f3, 0x5f812c35, 0x288bf9ba, 0x86240ea0,
+    0x8e1bc024, 0x8487fc53, 0x2de5bd0e, 0x610d2ab0, 0x3c14766d, 0xb39ac4c5, 0x90de59c7, 0x8cf894f7,
+    0x370881dc, 0x4b49d916, 0x52f9d594, 0xac05c495, 0xdb5051e8, 0xc188ae8c, 0xa5ec22da, 0x38b8b3f2,
+    0x61fe0615, 0x13ed92c9, 0xb2ec57da, 0x619b233f, 0x537bd041, 0xbd602663, 0x8bfab21a, 0x6eb366fa,
+    0x0cb5f300, 0x5d5bd319, 0x8c9925bb, 0x4a0e6538, 0xd4b93762, 0xfdf4a89d, 0xf48b6152, 0xbf16a52f,
+    0xcb28828d, 0x151e6bd0, 0x6aa053df, 0xcb09f849, 0x8d59b40a, 0x3d1ac96d, 0x421ba217, 0xe78f91b2,
+    0xe07d5352, 0xadeee11e, 0x4ab73bf4, 0x331e05ae, 0xf07eadee, 0x7793a797, 0x79a7023d, 0x843d01fb,
+    0x761b4eec, 0xbc067e08, 0x66ed7853, 0x1b966f7e, 0xf58cae7b, 0xb682414c, 0x55ef5729, 0x47af48ab,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000001532495540865888858358347027150309183618739122183602176 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d8a, 0xbfc6f674,
+    0x00000000,
+    0xcab90324, 0x36649ac2, 0xef312bf2, 0x97d4e040, 0x87bc8be9, 0x32cb392f, 0xa09a09c1, 0xf05698f3,
+    0x79c63366, 0x4bc36092, 0xf6c225b0, 0x86704cdd, 0x361a96c0, 0xb95fad89, 0x87de4704, 0x218b87e3,
+    0x72e85af2, 0x3d01b6e6, 0xd0c093b9, 0xc569a046, 0xeab3f6d4, 0x5f0c7bba, 0xb76beb65, 0xbc98ba48,
+    0x6a8f89f7, 0x6a2b64e2, 0x7d95cf6f, 0xe968a19b, 0x66d7f83a, 0xde842a0d, 0x9e09dac0, 0xc052ed2d,
+    0x57bb7bf6, 0x187f14cf, 0x2c953a7d, 0x8e73c7f0, 0x611c65d9, 0x1978ba34, 0xf9caf7fc, 0xf32c48a7,
+    0x2d5ecefe, 0xf9912434, 0xfca5e6a5, 0xc44b1a86, 0x29614106, 0x8e6035d1, 0x4b84f6ef, 0xa215c938,
+    0x6c4ffc8e, 0x4c9f89f1, 0x07955609, 0x785caca3, 0x03b56ea1, 0x59fc466c, 0xaaf0abca, 0x2ca4a895,
+    0xfda3bec5, 0x1e9ad1e3, 0xa50b7bf5, 0xafb30fc4, 0x63f0f5b0, 0x31381623, 0x1ed113b3, 0x63035705,
+    0x30611c31, 0xdaeaa06f, 0x76625445, 0xcf4ed3f3, 0x59a50dca, 0xb868d306, 0x59a97e25, 0x5c51f7d8,
+    0xe2eef51a, 0xe21ea208, 0xab1d4a9c, 0xe3680e47, 0x02454032, 0x35767481, 0x4d3d693b, 0x43698b1d,
+    0xd87c193d, 0xdbe9d384, 0x6740e86b, 0x7a7afdc2, 0x00a0acfa, 0x50141ec7, 0x7ac58213, 0x92f89ef5,
+    0xc774c06f, 0x97e5b3c8, 0x43cddfd3, 0xf8abe95a, 0x20d5cb18, 0xc59969fc, 0x9588ecb7, 0x0df39a86,
+    0xafd133e1, 0x58e99a26, 0x500df9c7, 0xe477b36f, 0x830a48f1, 0x0ed36d0b, 0x4e87b115, 0x503255a5,
+    0x7e444c6d, 0x3594950f, 0xf2b127df, 0xd5ed33eb, 0x08a5ff0f, 0x312c6c65, 0xdf610c6d, 0x00472742,
+    0x07bbdd29, 0x2fff22a4, 0xc6d97264, 0xca8b2347, 0xd3ba1ebd, 0x9e68df83, 0x24436aef, 0x5f85dd79,
+    0xbe16bd8b, 0x4edbcdf8, 0xe74fe8a6, 0x4c674528, 0x53bb7b2a, 0x42f3c10d, 0x2c993fa4, 0xd43889d6,
+    0x79973ca6, 0x8d93c0bf, 0xbc8f6b1e, 0x57d3ff8b, 0x89e58daa, 0xb988f287, 0x06ac6e48, 0xd582ea9f,
+    0xfece3824, 0x7c4f17ef, 0x14483d4f, 0xed9fedc9, 0x536ae811, 0x92d3c65a, 0xcb757c14, 0x5e568cd5,
+    0x52fb08f0, 0xfc75e53a, 0x27c31f43, 0x3ddf1bce, 0x267bda8d, 0xeff31e5a, 0xc783c278, 0x5f9a738f,
+    0x646c1b3d, 0xf0e40e30, 0x5677a53b, 0xdc8ddce9, 0x3dcd56fc, 0x0b505f66, 0x7c6dd7bb, 0x840ad0c7,
+    0x00977f50, 0x379fe26e, 0x07a10f89, 0xf8020de9, 0xca23791a, 0x3b8d898f, 0xc50cbf15, 0x95328001,
+    0xa2e1d629, 0xd6c389b7, 0x56cae967, 0xf8313ea3, 0x8e41a0db, 0x467f57fc, 0x665d99e4, 0x96b59d31,
+    0x432f0baa, 0x022d803d, 0xae046b25, 0xce9cd405, 0xbfe87b44, 0x66b158d1, 0x7d2ee4d1, 0x55e05a39,
+    0x92b29098, 0xfb26a3d7, 0x63e91f0e, 0x9b8b8dc9, 0xfe002806, 0x52359311, 0x1324277b, 0x9be2bfdf,
+    0xc497239f, 0xc62f763c, 0xc86696e6, 0x6185b201, 0xad309d21, 0x2d1f06b5, 0xfdebbb7e, 0xc3e3760d,
+    0x3718d7a9, 0x3a027591, 0xdd422cdb, 0x47ab7097, 0x89b2a8a8, 0x8bb16511, 0x32c6d90a, 0x83992eb9,
+    0x51c4beaf, 0x0ed91ed8, 0x5f80a0b5, 0xed860180, 0x24025cc9, 0x46303757, 0x8d8c9a5c, 0xcaa9d972,
+    0x7edaafc1, 0xca4186fb, 0xdf470c2d, 0x9158eb42, 0x080390d4, 0xe2889d8f, 0x2d159821, 0x67f3f0f3,
+    0x20f6f03c, 0x3d63a136, 0x963ec816, 0x68e2f009, 0x70378115, 0xde4717e5, 0xa9ee9b8b, 0xabad1063,
+    0x28066cb4, 0x9653b5db, 0x8359e497, 0x6ace8738, 0x26227938, 0xe5ff4313, 0xa6dd9e72, 0x705b94b9,
+    0x048a0948, 0x76f25f58, 0x1d518f9a, 0x58144a7d, 0x813ca827, 0x87bf3c4a, 0x8be5cc4f, 0x8de09d01,
+    0x20675b52, 0x5b135411, 0x3c7b0eba, 0xb81c9fb9, 0xf589afa2, 0x063dbe52, 0x9221b582, 0x1b9c8728,
+    0xf22c919a, 0xbc4aad0e, 0x2b7ff4b5, 0x05120403, 0xd9afd937, 0x72b8c98e, 0x85322ccc, 0xbf530eb7,
+    0x17a80185, 0x7929aa43, 0xaf3d82be, 0x60c30206, 0x6f481057, 0x99b9bd2e, 0x677cb4f8, 0x86bce2c0,
+    0x416c78d2, 0xf5430667, 0xc8d1e6d5, 0xb09f71ce, 0x67632f78, 0x5a7061b9, 0xc4da8169, 0x2ddb69fd,
+    0xde3af15c, 0x693b4b04, 0xa60ce9c3, 0xcbcbfc85, 0xaf9a3e60, 0x27257d32, 0xb0ccb347, 0x37d631c6,
+    0xd8216ba9, 0x7277508a, 0xe0cadc6c, 0xde0b5cec, 0x2382081d, 0xc13379ee, 0x356dc633, 0x2e5c24d1,
+    0x13efeef5, 0xf7fc578a, 0xecef5c7f, 0x6b16b531, 0x83475b50, 0xa9127f94, 0x780e3e2e, 0x91bd547c,
+    0x1440aeb4, 0xe790a950, 0x5878cd18, 0xefc6fa3e, 0xfb444379, 0x9da53c8f, 0xc6948595, 0x9adf5fdd,
+    0xa973aaa7, 0x503ec42f, 0x175ff610, 0xd1652608, 0x883ea342, 0xd4389003, 0x53200b58, 0x6410d2c2,
+    0x54e155b0, 0x0191d4c7, 0x1b2324cd, 0xe7244ba6, 0xb03d1ef7, 0x73964fbe, 0x9b1a560b, 0x529b6235,
+    0x48547b78, 0xc95bc7c8, 0xdee5d12c, 0x99f38c38, 0xc02a5922, 0x54d68896, 0xa4186f09, 0xd0bc851c,
+    0xda423811, 0xc5acd778, 0xe3afb258, 0x79406f8f, 0x1068390e, 0x9046748a, 0xdbd41bc8, 0xdd76783a,
+    0xed53823e, 0x0f54f3b2, 0x02f251c1, 0x16d25f5f, 0x9ea4ff62, 0xe5510e1a, 0x71e3c18d, 0xdd8361e2,
+    0xc8cac4a9, 0x46df9b5e, 0x22371a56, 0x97ac6a83, 0x5884ce5c, 0x93686aa3, 0xb4d5b018, 0x59caff80,
+    0xa885b305, 0xe14a9839, 0x7eec683b, 0xae57027b, 0x3c9421a1, 0x868f2543, 0x5656e589, 0x3295aaab,
+    0x9b9f1171, 0x15b9ffa0, 0x840c5f10, 0xf4084bd6, 0xdbe6dee5, 0x14f813db, 0xa1825f32, 0xdd1d9d0e,
+    0x6c2293f8, 0xe20550c2, 0x7f32ac21, 0xbd6c7ce5, 0x16423747, 0xda008211, 0x9ea757e9, 0x43025a60,
+    0xfd3fef68, 0xe2d9391f, 0x5cb23556, 0x362cdf01, 0x4b3a13a0, 0x269c4e0a, 0xdc060764, 0xc1529887,
+    0x977eba59, 0xfac4a150, 0xe3889a16, 0xf92b22a6, 0x1105992f, 0x55e6185e, 0x4f6714ec, 0x87b6c430,
+    0x2ff1afc4, 0x90ebc49a, 0x6c227a58, 0xcd66a98e, 0x3a9a170f, 0xf4a315be, 0x7e52c728, 0x407232a4,
+    0x552c35ef, 0x8f02e107, 0x006ccfe8, 0x20c3835b, 0xf41f8a0f, 0x67115793, 0x65da9af7, 0xaaea2786,
+    0xbad74ce1, 0xbe86de28, 0x3e4d4d67, 0x5854bf80, 0xb6287750, 0x12b231e4, 0xc2f29d97, 0xae9a1470,
+    0xd1856e53, 0x9f6c76d9, 0xdcaf17a8, 0x413b2230, 0x9ceadd46, 0x493287d5, 0x82160521, 0x2ed9a9c9,
+    0x46570360, 0x00624693, 0xb378c13f, 0x3fbebeac, 0xea5b04da, 0x3700f753, 0x84669e34, 0x4cc0d370,
+    0xc5003b94, 0x02afd408, 0xf50034f1, 0xd7318564, 0x4e656507, 0xabe04d7b, 0x5247b612, 0x5e9cb94c,
+    0x47af80ba, 0x9bebf24b, 0xde698d37, 0x16cee3fb, 0x934dec14, 0x44361862, 0xef6d6c0d, 0x22faff9a,
+    0x91f217cf, 0x3173002c, 0x32c7f788, 0x2a7d79f9, 0x4627ab0d, 0x9437554c, 0xfbef6537, 0xecbc529c,
+    0x54496a06, 0x30949f5a, 0x26d9d7df, 0x28e52643, 0xb8e4b84f, 0x172d0e75, 0x6afc0f71, 0xaaf5a71f,
+    0x25c47558, 0xa6decdf5, 0x40161608, 0xad60f546, 0x3ebc690f, 0xf846deac, 0x5ef169b2, 0x0a1c2412,
+    0x4be087da, 0x84e9a6c2, 0x482ccc50, 0x564f3c40, 0xdf14f6cd, 0x466c9b96, 0x1d495634, 0x08ec8944,
+    0x771f9f67, 0x597dbd31, 0x2a4177d7, 0x667d9ffd, 0xf6db019d, 0xff99a43b, 0xf1b5db4f, 0x29804e8a,
+    0xf7055b3c, 0xb7fb2767, 0x920d24ec, 0x3f983764, 0x64e592c0, 0xc5afcd99, 0x100a1d8b, 0xe1d949d1,
+    0x8eaf0ee3, 0xa5ae7c66, 0xfabfa6a4, 0x63beb05f, 0xbed58ae2, 0xfbc32e52, 0xf87babe5, 0x5b417c7d,
+    0x395e8a1f, 0xbbf6a19d, 0x60bbce7c, 0x4daa61e4, 0x6afca0a9, 0xcabe0bb1, 0xe91a55d0, 0x3e665b9c,
+    0xd44d5a22, 0xb129da3c, 0xbd9417d4, 0xffc1b497, 0x9841d933, 0x48476c11, 0x40b5a0e5, 0xad2870eb,
+    0x554b5982, 0x908ea674, 0x193f3fa6, 0x6ab16642, 0x01757fce, 0x535e9570, 0x827367dd, 0x2c2fa9ca,
+    0x70132b73, 0x7b0687a1, 0xe5ce8406, 0x8d311d60, 0xb3a693f5, 0xd220b460, 0x2103e48c, 0x8a1ae714,
+    0x32379f8f, 0x0efb1825, 0x5d4453d8, 0x8112094d, 0x5e615b3a, 0xad69f045, 0xb2138e7b, 0x9ae435fc,
+    0x63470b28, 0x8745eda6, 0x802c7ad1, 0x81c79165, 0xf891b2e6, 0x8b021159, 0x3909728b, 0x679c07e9,
+    0xe6a5a603, 0xa6cd9129, 0x52cb0022, 0x4adf6ed2, 0xb731b9ca, 0x2e740729, 0x9648a9bc, 0xabb51887,
+    0x29718e73, 0xca64b628, 0x379f0b2f, 0x756e29a6, 0x655a81c8, 0x0498a408, 0x04995e69, 0x1e43aabe,
+    0x301e2a92, 0xc5745427, 0x89ce9435, 0xc0b9c908, 0x3609b4ee, 0xd8c1e769, 0x7a28fdc1, 0x73f3e7fc,
+    0xa6be9d16, 0xd6d180fd, 0x89b159d4, 0xcaf7ca53, 0x0a9c1fc6, 0xbaa16391, 0xaeab9c28, 0x90415914,
+    0xe8ff674c, 0x492180b6, 0x4dfd5682, 0xc4aa0304, 0xefa853d5, 0x764bf0b9, 0x17b8ded2, 0x62c59a74,
+    0xa2063cd0, 0x3485d1fd, 0xb46364c6, 0xb1b91997, 0x7721446d, 0x72fe4aae, 0x78bb19de, 0xf7837c2b,
+    0x1f5fbeda, 0x34cb6182, 0x7a058a57, 0x20a240fc, 0xef855c14, 0x82bb2efd, 0x047b26e0, 0x6e056e32,
+    0xdd607bfb, 0xd079dbab, 0xa21d28cc, 0xab726e0a, 0xe2afe922, 0x1d56c050, 0xa2025d30, 0x2e015a20,
+    0xb0884db3, 0xae49d13f, 0xbb6ac86d, 0x275019cf, 0x614290d2, 0x8d67b870, 0xfbd53113, 0xaef3c21f,
+    0xa6071458, 0x21c791b8, 0x01a72b08, 0xb7f0da57, 0xbe692523, 0x26f4a2fb, 0x270c0ce8, 0x4e25e964,
+    0x0969a226, 0x9f49b639, 0x50188b42, 0xa630dea2, 0x72b85104, 0x7bf1448d, 0xd5331742, 0x74576420,
+    0x1ffab95f, 0x02cc62b6, 0x969fec93, 0x498667c1, 0x9c24f41c, 0xc30777a5, 0x447eb8ef, 0xfcdec3e1,
+    0xdc99dbd6, 0x72186a43, 0x6ac03583, 0x1abc1b0c, 0x9c300616, 0x2edee833, 0xbecb6769, 0xacf59e1f,
+    0x3ba8223f, 0x81d420b4, 0x337f592a, 0x23e7a224, 0x04dd5b85, 0x71e28f0f, 0xc4fd325a, 0x1f5adb07,
+    0xeb98d974, 0xa4c12231, 0x73fdbd0f, 0x9ec4d016, 0xcf4ff7ea, 0xf539c5a9, 0x64d12d2f, 0x356c150d,
+    0x14fc4934, 0x45e05533, 0x350d2d4f, 0x80aa7312, 0x7e9ed976, 0x1481f6d9, 0x62b29c5a, 0xadcdbeb2,
+    0x2184bc5b, 0xc4e157be, 0xf9086e54, 0xc45fee64, 0x3352d0df, 0x22e39761, 0x8ccd35fd, 0x7ca20ca3,
+    0x513755ee, 0x25f61f90, 0x2463b21a, 0xcb73051a, 0x81a164c5, 0xa3f5344c, 0x09e05e97, 0xa08b6b3e,
+    0x3c2961db, 0x3a2f2941, 0xb10b77c5, 0xd23940be, 0x7ed706b1, 0x4fe9a7eb, 0x60f03963, 0x5a7a1177,
+    0x26d460d8, 0x5368ccad, 0xd55b401f, 0x9ae31a72, 0x82814ef6, 0xf6b1b9d4, 0xe4090634, 0xdd722ef4,
+    0x244921ea, 0xb21857de, 0xc02c34d9, 0xe735422f, 0x1b0e76de, 0x6443c6e4, 0x62761374, 0x6c6173a3,
+    0x46227918, 0xa8b7b55a, 0x8dda84e2, 0x7ff32b35, 0xe70193ab, 0xd4cdfd1e, 0x2c708724, 0x992857a1,
+    0x9f31d29e, 0xe8319075, 0xc2eddcd6, 0x40133723, 0x34f6cbd2, 0x4d8a66c9, 0xc55d75ed, 0x33494aa1,
+    0x2d817c96, 0x061dac6a, 0x474164a2, 0xf3ad6648, 0x008556e7, 0xd175c262, 0x2eb7546a, 0x9f4e8303,
+    0x867e3915, 0xf67416b9, 0xc756dacd, 0x19e81e6b, 0xa4900a7e, 0xbc86f2aa, 0x641216e9, 0x8aec27c2,
+    0x41d3e1d9, 0x84fc9400, 0x3403b379, 0x6d9ded62, 0x783dbde9, 0xdb6c2a65, 0x4162bfd3, 0xc1e01ec9,
+    0xbc1bfacd, 0x2a3ef62c, 0xd6b4918b, 0xa385f1c6, 0xae6710b0, 0x93050acf, 0x8e3c7d72, 0xb1efb4b0,
+    0xc2a49e90, 0x1452555c, 0x0fae4c86, 0xfc5799b4, 0x3d8c0ca7, 0x90cc4f3e, 0xdc9c342a, 0x49ff1cda,
+    0x2166ee74, 0x76d1a949, 0xdb2d1ab6, 0x920919dc, 0x682cdcf6, 0xf49f5d4c, 0x7d35744c, 0x39a43cf1,
+    0xf5dd84bd, 0x07ba390c, 0x0ad70990, 0xa1c433ea, 0x9a6ab21c, 0xc848c80b, 0xe056ca94, 0xccc4a9d7,
+    0x4b20be33, 0x8b7b73b2, 0x80af4b8c, 0xb82c216c, 0x49b80792, 0x2cce89af, 0xf5efa822, 0x6cc53ab9,
+    0x1a2568f8, 0xd18beee7, 0x90da5e8c, 0x95a99b57, 0x45a0f178, 0x7a9f3d94, 0xf5847054, 0x045afe0d,
+    0x2f0c1fa4, 0xdde48bc3, 0xfaa68805, 0x7a38f77a, 0xe6376e81, 0x479c8aff, 0x5cce7de6, 0xfdff1271,
+    0xefdcce0b, 0x3e58955b, 0xdec5045a, 0xe080c79e, 0xfa90dbf4, 0xf4e9625d, 0xc2b429f7, 0x42f3d64d,
+    0x234c2ffb, 0x1f25d32e, 0xd3100460, 0x0e6ee489, 0x007d50a5, 0x9560da98, 0x61e8dfd6, 0x6a01ebd0,
+    0x19a4b91b, 0x689d50af, 0x8373f260, 0xd70c92f0, 0x30299dfc, 0xbd028dc4, 0x5bac0efa, 0x82f10550,
+    0x732228ab, 0x53ddfd4c, 0x0986ff77, 0x315777b4, 0x2882ac7d, 0x835b4ea1, 0x609e00ed, 0x3b0ee32c,
+    0x1ecb4518, 0x97ac8d7c, 0x492dd2e8, 0x681f7d7a, 0xc1f71abf, 0x3001467e, 0x59737cb8, 0xc1ff9fe0,
+    0x12d51063, 0xc1c7d74e, 0x2fd57879, 0xdb470fc8, 0xe985a283, 0x70941931, 0x6bb3340a, 0x90cfd88f,
+    0x87bf6cae, 0x4e26ca56, 0xf6cc73a7, 0x734ac7ba, 0x30bf6ec9, 0xaa774ee4, 0x15dc0912, 0xbf71d1bf,
+    0x0170c68a, 0x30718537, 0xfe8f470a, 0xfed1da4f, 0xd85c677c, 0x4ae7c21a, 0x3f100b99, 0x420c86e1,
+    0xe3294b31, 0xd8ac40a3, 0xc1d3fa4f, 0x39fb8bfc, 0x4c07bbe2, 0x75759f8d, 0x42932884, 0x596fbb5c,
+    0x1fca6d36, 0x37cba174, 0x23636908, 0xc08b1d48, 0xf414dda9, 0x82c1cefc, 0xd393c597, 0x08e0af2b,
+    0xa9bfb1bc, 0xef4869ea, 0x08aaf0dd, 0xf461abb2, 0xd63bc0d3, 0xdb03ff45, 0x567f5d0c, 0xc75dbdfa,
+    0x906ba5a7, 0x5bc9f870, 0x18ab99f2, 0x5a472ffd, 0x4f290905, 0x399142cc, 0xe9bcb416, 0xd1a81b7c,
+    0x4d0eab9b, 0x893b3ce1, 0x97663055, 0xb78f6545, 0x77398c4b, 0xa5f8c2bc, 0xf9a1f4ca, 0x318332cc,
+    0xbb60e8d3, 0x4034a4ca, 0x05b1952f, 0xdc64da31, 0x989683a1, 0x6da09ae6, 0x7dff657c, 0xc8444b7d,
+    0xce0f4dc0, 0x93db2109, 0x6f3c1a91, 0xe9581b2b, 0xb179af33, 0x69bdda57, 0xe0adb736, 0x182c7e7c,
+    0x15d0b647, 0xa1b379b4, 0xbf199c05, 0xf0799e0d, 0x444dfd70, 0xe394b1e4, 0x6fc82db5, 0x8abf0b8e,
+    0x71087aca, 0xfe7688de, 0xee2e3497, 0x78a02f21, 0xafb8cfd6, 0x558d1770, 0xb0f44a01, 0x68614d02,
+    0x06e8230f, 0xe31549c6, 0x63d945a0, 0xc9d260d5, 0x2cda40d0, 0xfcf581aa, 0x93bb643b, 0x86cfe599,
+    0x947eb50a, 0x59c17f82, 0x5469ec28, 0xb0e2178f, 0xe9638a0d, 0xb2af8fe8, 0x5332b14f, 0x5fdda660,
+    0xfe549367, 0xee6e682d, 0x80f6aad5, 0x3dc328e9, 0x8c4907cc, 0x3deebf11, 0x3fac06a5, 0x4413cef2,
+    0x95e6baf9, 0xb5c839f9, 0x732d244c, 0x65433666, 0x9c86a13a, 0x57a9d58a, 0xa71f2fd4, 0x1710ed0a,
+    0xae20d897, 0x0bb16abc, 0x081d0584, 0xf789af61, 0xc62c504f, 0xf01901c3, 0xec8163f4, 0xf3237ebc,
+    0xf37daeea, 0x173b97f3, 0x72d64318, 0xe12a786c, 0xbf633a09, 0xdbe93178, 0xad0534de, 0xaf64a081,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000766247770432944429179173513575154591809369561091801088 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c5, 0x5fe37b39,
+    0x00000000,
+    0xe3cf24f3, 0x46d7cd9f, 0x181fc2c3, 0x967c6fa7, 0xa84fa773, 0xecefcca0, 0x6780be28, 0x6774d850,
+    0x0660eb2a, 0x6a8dda96, 0xa7c9531d, 0x42edb34c, 0xd452987d, 0xaf164217, 0x1109c0f3, 0x35bb7d0c,
+    0x82219435, 0xc01e5413, 0x94dc22de, 0x2c78cb40, 0x5ad2c450, 0xad825a9d, 0xf8a88348, 0x06832a9e,
+    0x1cdf50fd, 0xe3c4a378, 0x78a2aaf8, 0x93f541b1, 0xa390bf0d, 0x90ec2751, 0xf0fe358b, 0x6d371ba0,
+    0x20a3ab09, 0x78958887, 0xc4847d22, 0x60f3236e, 0xe30d82fd, 0x98a80834, 0x50daf808, 0x02d6a1c9,
+    0x2bae3962, 0x812ca148, 0xbb592a9c, 0x64b3e951, 0x47b3906d, 0x4bdc2147, 0x269dcde2, 0xe99095a5,
+    0xdbe52026, 0xbfd42d8f, 0x7e6b25b5, 0xace55f2b, 0x32d9bc42, 0xbb3a8915, 0xe0f5f352, 0xd2bb809f,
+    0x86c67892, 0xdc4cf2d7, 0x856cbba9, 0xfd0bf750, 0xbd713fd1, 0xd33e488b, 0xcf78b564, 0x7ebbed00,
+    0x8b885d1a, 0x6ce05c2d, 0x37fb55f1, 0x59ac72da, 0x75212f05, 0x84b61e6b, 0xb7f7b402, 0x0cc46033,
+    0x37c7ded0, 0xccc2280e, 0xfb866f9e, 0xffbb2800, 0x4a523d57, 0x6221d298, 0xcb2ea228, 0x4debd4b3,
+    0xf1d16612, 0x3284bfda, 0x3ca4accf, 0x35d73909, 0x7c26fee4, 0xf6f0f5b6, 0x3d3b0417, 0xa6f7d2f8,
+    0x45900f39, 0xa49e8db4, 0xded52423, 0x0a015540, 0x1f79a538, 0x59517019, 0x8cff9578, 0x24370e0f,
+    0x1ddf2cd3, 0x89160a03, 0x956ed5c8, 0xf96f1c9d, 0x6510f857, 0xb025ed44, 0x9ec240af, 0xcab6fcfb,
+    0x37af9d3a, 0xc6feedea, 0x1497ce70, 0x11567afc, 0x16395154, 0x06677391, 0xcf8e1dcd, 0x63776c5e,
+    0xd2c36dfc, 0xa46496eb, 0xf6e5a866, 0x6cd6c77a, 0x73850a88, 0xf6ed3c40, 0xfb4a31c8, 0xf63f9ed2,
+    0x47d94006, 0x4fdf58bb, 0xab95e784, 0xa00c31d3, 0x104fb479, 0xecebf3df, 0xdc27e983, 0x8d79c1f9,
+    0x553908a5, 0xa150f76c, 0x1e97b2fd, 0xcf17a9ad, 0x3507c4a5, 0x5decbfbc, 0x1031fdcb, 0x4c131599,
+    0xa4a036b3, 0xab450b65, 0x6fdd63b3, 0xa78d8ae4, 0x4dfbd70e, 0x28c4a445, 0x2d438d0d, 0x50bbb03e,
+    0x5957c3ac, 0xd7d9966e, 0xcedb0adf, 0x5b7c4b80, 0x8922308d, 0x53aac1a4, 0x88fd4abc, 0xf99d46d2,
+    0xbf0b8054, 0x6329903e, 0x37504d2c, 0xd5d76fc8, 0x73f836d9, 0x402bc1c6, 0x2b88d680, 0x3561710f,
+    0x2e75ff97, 0x0dbdf8e7, 0x0acdaf9b, 0x6e5591b2, 0xfc3fba86, 0x59e2776c, 0x153e9c74, 0x652a142b,
+    0xfb47139e, 0x6fc0f7a0, 0xa8d4c9f6, 0xa7c83758, 0xcf987a38, 0x118f86dc, 0x06d5631f, 0x5059c8b4,
+    0xc586b71d, 0x2338630c, 0xb3d7d4ec, 0x1b26bc96, 0x48a43a15, 0x4731b508, 0x252fc6a0, 0x11095265,
+    0xfa97caa5, 0x409272a6, 0x6083debb, 0xe199f4d0, 0x8bf8cda9, 0x8dff07e4, 0x8fddac93, 0x72110811,
+    0x77ae5cac, 0x93dd1102, 0x9f001ba4, 0x0bde2bf5, 0xee8ef451, 0xbdd7acaa, 0xf2c54192, 0xa86c5e7f,
+    0x6e22148b, 0x570a3515, 0x037d3a58, 0xa11f0a32, 0x097ccd7b, 0xf4cf0f8d, 0xc79a59a1, 0xbd26d8ca,
+    0xd286c3ec, 0xe94aff7d, 0x1a5539d8, 0xb462f6f8, 0x198af8c3, 0x5492f112, 0x3e004e97, 0x37a5b248,
+    0xa4114a37, 0x74ed1176, 0x464738e2, 0xce0abe20, 0x4632d206, 0x780c0d3d, 0x3be1f937, 0xadf8e83b,
+    0xb177ae61, 0xcf2b1175, 0xf51af9b0, 0x834c5bd8, 0xb541e861, 0x4f062a99, 0xe76c36d4, 0x7cf2eb8f,
+    0x6bca1cd0, 0x7aa5ebd9, 0x8d0957e1, 0xcaed72db, 0xc8c0c7ea, 0xeb4a61b7, 0x90599fc6, 0x3325e8b7,
+    0xb4922341, 0x3553a7cf, 0x567a2e79, 0xc13d094a, 0x8f5c89cc, 0x84699ea6, 0xa319afe5, 0xddf065f3,
+    0x8277bfcb, 0x165b5c23, 0x3e778b36, 0xd4664763, 0x715aa5f7, 0xfc683500, 0xb3288680, 0x903a1fbf,
+    0xb87b7c71, 0x0bdf1266, 0xdca1f640, 0xf24b8387, 0x2b27a8d7, 0x0b43850d, 0xf9d9b3ab, 0xdc6b60eb,
+    0x22b9d494, 0xa8c09c31, 0xc163c0ae, 0x727aad4d, 0xf7a614db, 0xf9f1f6b9, 0x59d35759, 0x0b844687,
+    0x57875a41, 0x2690b5a3, 0xe6b25f85, 0x64c1d89e, 0x6aa55dfd, 0x369b79f6, 0x99f9940d, 0x1872934a,
+    0x2cc8a212, 0x42f4699d, 0x6f73fa5d, 0x2b17278d, 0x9c3d9f91, 0xb4b81ca3, 0x0a3f13df, 0xc31b9bf4,
+    0x55e85c62, 0x44dee93d, 0x1a85b305, 0x3d94f36a, 0xdb70202c, 0xa2ffbe0c, 0xa51631c8, 0xf57ed1f1,
+    0xf17f81a3, 0x6f19e342, 0x28d226d5, 0x319c4516, 0x3ceee8cb, 0xb647c125, 0x1635ab26, 0xc46835d3,
+    0x126a3d0d, 0xa5f50df0, 0x68ca0dd2, 0xd7593565, 0x6f22d9b5, 0xc7d96805, 0xb8502ee5, 0x757ff12e,
+    0x478e7c40, 0x4753b4ae, 0xcc0314a3, 0x2d4ea95e, 0x90b0dcd3, 0x06957599, 0x6d45b629, 0x0611a10a,
+    0x38a923e7, 0x5dc19c58, 0x70bd81d2, 0x626bdd22, 0xa2b1f80f, 0x05d15047, 0x3cf96634, 0xcd8f856c,
+    0xd7aff91a, 0x76955576, 0x8fca93a2, 0x54640fb1, 0x7d5105d8, 0x65f0a426, 0x9d00b9b2, 0x426042b7,
+    0xba0921d1, 0x0bb33b9a, 0x5880be67, 0x5b752d94, 0x833948bf, 0x23b28a8f, 0x963bbc8c, 0x3052f1a9,
+    0x9c35e481, 0x837acd0c, 0xaab18b22, 0x04621dfc, 0x311db24c, 0xe6f540cb, 0xe57a16fc, 0x2bb84501,
+    0x9d094dff, 0x307c7280, 0x120548f0, 0x71eabecc, 0x2d0e6de6, 0x2365a7ec, 0x63542e66, 0xfe050061,
+    0xdd3794b2, 0xeea75512, 0x36f9f95d, 0x6cb83320, 0x1c47fbaa, 0xaf1261a1, 0x59113d8b, 0x99720a59,
+    0xcfe0a053, 0x7c33cfec, 0xa45f8e37, 0xb344fc59, 0xd1fb8685, 0x8744fb00, 0x183c6036, 0xc4d90177,
+    0x5ded6031, 0x1e7d719d, 0x1190d50d, 0x482bbcfc, 0xacfccddf, 0x3822cbaa, 0xc008b704, 0x1450dab6,
+    0xa78efc95, 0x217fe7f4, 0x3b7ee915, 0x06b079a0, 0x32f98858, 0x9efc3439, 0x5345ece0, 0x3b189ff4,
+    0xa02a46a0, 0xa4a5a014, 0x7fb080ff, 0x60ad0a38, 0x608cd792, 0x0299c78b, 0x61bf53c3, 0xda77383d,
+    0x664f9a46, 0x760d2320, 0x3670aa8b, 0x65ff015e, 0xf55f5809, 0x409ec2ae, 0x2544dd4b, 0x0e1445d4,
+    0xd3be098e, 0x0db19c69, 0x34f2a7bd, 0x5e14c524, 0x495c2c09, 0xe869d314, 0x8acc80af, 0x7f8c5c19,
+    0x162f7db3, 0xdcab22c7, 0xe1717ac3, 0xd2dd2832, 0xe1baa418, 0x4c417457, 0x70c015ab, 0xbbe2ddfc,
+    0xa551af9b, 0xba12da89, 0x02c3abe2, 0x43da16ba, 0x2d5efb85, 0x6c9fbb1e, 0xb57dceba, 0x2459593c,
+    0x5863cfdd, 0x43c1c30d, 0xc2f4c756, 0x8f73c63f, 0xebb8c4f8, 0xb0543f8b, 0xc9b441f3, 0x1b14a7ff,
+    0xa45562fa, 0x1658f4d6, 0xc2974445, 0xaab2e784, 0x10435804, 0xb037e925, 0x9aba4ebc, 0xa561d361,
+    0xbfd86fd8, 0x5fca0766, 0x8d81e2d5, 0x16a47c75, 0xe4009e43, 0x90964ba4, 0x9e4d2572, 0x12461a8a,
+    0x62cac5e1, 0xef9ab4f2, 0xa1e36c8d, 0x1f2fc7a3, 0x7a2e5da2, 0xed1ca181, 0x7a65f7e1, 0x1b84f900,
+    0x1f96b1dc, 0xc8c8c9b6, 0xf764ef5d, 0xaf5ab488, 0xa7425c68, 0x8730d2fb, 0x58e40bd5, 0xb7c59dae,
+    0x77ecbbf7, 0x4114a656, 0xbbdda763, 0x2882a236, 0x802b9665, 0x2e3939a7, 0x105b423d, 0xb35eb889,
+    0x1063d6a5, 0x1fe429ee, 0xba8b19ec, 0x9153b336, 0x93229888, 0x49f27682, 0x501a2416, 0x00de296c,
+    0xeff2112b, 0x668489cb, 0x65c15931, 0x4c766393, 0xe1e8a675, 0x674a8196, 0xf351164b, 0x6bb1144e,
+    0x158176e6, 0x62b6b1ed, 0xb39635cd, 0x6d2b64cd, 0xe0dd8a0a, 0x7e6143a8, 0xbf6a96e7, 0x0693bc2b,
+    0xde4209f6, 0x09dc5a28, 0x0f539cb8, 0xafa96018, 0x084fe5bc, 0x9147fc8d, 0x75b9c893, 0x024ebcc5,
+    0xe099dde8, 0xab18c142, 0x5c8c749c, 0x3ff34e89, 0x270c9634, 0xbdbb8851, 0x4e3fa035, 0xb2966891,
+    0x36e51329, 0xa2c30d71, 0xd58f5c55, 0x187ae80b, 0xe101c142, 0x7252452a, 0x025f0f50, 0x0e2e3fd7,
+    0xccd3479f, 0xeb114210, 0x2c169755, 0xee921067, 0x3a7b5107, 0xe5a36f56, 0xda345ecb, 0x9aa481aa,
+    0x72535144, 0x00f4b5f7, 0x90d0ffa3, 0xab297986, 0x9f4f9f1a, 0xdc489a91, 0xe87bc7a3, 0x65134a65,
+    0xb436d0fb, 0xda22c72d, 0x3c871aca, 0x07ec06b1, 0xbfdb1015, 0x543c6fb1, 0x30e39172, 0xc598aa2a,
+    0x38a08829, 0x2bfdf385, 0x29b854e3, 0xae7c58f3, 0x0c84df45, 0x16edc0b0, 0x359188b5, 0x59c1ee4b,
+    0x02f448b8, 0x22e8c7bb, 0xd0f95e87, 0xb9cda4e2, 0x23f184e5, 0x89999237, 0xa4fa992f, 0x4a93a6ce,
+    0x4b3c2baf, 0x9422708c, 0xcb055868, 0xae43df20, 0x9651ef62, 0x06a4e063, 0xaec3622a, 0x4794d6a3,
+    0xf63d7445, 0x0a4f8f0a, 0x025c0db9, 0xf132dba6, 0xf58af641, 0xa73e261a, 0xc26a0aaa, 0xe5211999,
+    0x721e09d2, 0x6b176743, 0xbdc530e4, 0xe8c3112d, 0xae5dec4d, 0x66c16869, 0x124979ea, 0x74ef7217,
+    0xf12c4da0, 0x21fbae23, 0x3a6149bd, 0xf10ddeb0, 0x905f1ff6, 0xc00fcef9, 0xef61bf6e, 0x9c9caa1d,
+    0x764d852c, 0x711f78ac, 0x9cd82ab6, 0x1ce3f6ad, 0x216b7d54, 0x2148bf61, 0xc754df48, 0xbb2603cb,
+    0x877516ad, 0x121f7d87, 0xac6f9a6c, 0x567266e6, 0x4490bad7, 0x1f128003, 0x1c69e774, 0xe0a6d357,
+    0xe98c116b, 0x7135bc9b, 0xedea05df, 0x8fef0514, 0xfe89024d, 0x5ff00c32, 0x6355a427, 0xdc2ee25b,
+    0x8bafc995, 0x3bc61f00, 0x4d414b06, 0xe856b491, 0x34b93eb1, 0x703df54d, 0x6834abf3, 0x6c1608a5,
+    0x2595e9c7, 0x1ea86118, 0xb0bec060, 0x1e0e9578, 0x4ef5e6d3, 0x0cb8f393, 0x5245d74c, 0x6082a57d,
+    0x0bc5732c, 0x3a14215d, 0xc1396983, 0x9cede678, 0x56446bb1, 0x3cca38b4, 0xe237af29, 0x31a8e2e5,
+    0xb7061a17, 0x8f15d4cf, 0xe5b7cef7, 0x025dc525, 0xfff813be, 0x7b7c69ef, 0x6a0aa56b, 0xd1e6a9ed,
+    0xeb1d82a2, 0xd38017c5, 0x7afd868b, 0x16645bcb, 0xa151989e, 0x312a1688, 0x49973e7d, 0x99fba9b4,
+    0x17ee8c75, 0xa8deab1f, 0xf3c52d4e, 0xac931394, 0x30ef20ef, 0xf8b975a9, 0x10d1f8a4, 0x92f067a4,
+    0xad835b6a, 0xa24bfd44, 0x108515de, 0xa5c62955, 0xbf8501b2, 0x80a2e5d2, 0x1437bfa0, 0x54e91a6b,
+    0x5b297cd3, 0x7bf0d8c0, 0x2d45c74c, 0x94967a94, 0x5db77048, 0x512f3611, 0x6aa3bd3b, 0xb7ab453a,
+    0x35d1e07b, 0xc455fa1a, 0xb6e45b2d, 0xa9951bea, 0x44b69a9b, 0x051827af, 0x59d0cbc0, 0x4454a934,
+    0xca5f8cb1, 0x3eecff88, 0xbc4a1084, 0x76061c89, 0xbb622683, 0x82bf2cd7, 0x26b7a4a9, 0x1a4a215e,
+    0xf8dbbd0e, 0x62835fac, 0xaae4a7d8, 0xf4bf43ac, 0xe00a4506, 0xbb3ed183, 0xdccfbb8d, 0x29c7737b,
+    0xfbb731dd, 0x9a9fb5b9, 0xe23922b0, 0x99393cc0, 0xf4928259, 0x795e08b9, 0x16c3cf09, 0xb355278e,
+    0x117d3719, 0xa05b1c2b, 0xde2b2092, 0x5aa55706, 0xc18ab0db, 0x0ae7061d, 0xabac2e00, 0x9ebf1e9f,
+    0x6cc85928, 0xc3f6bb1e, 0x0a7c8ec9, 0x97da4a4b, 0xcc62c3ed, 0xba84b2c8, 0xacd1c804, 0x31d27b15,
+    0x9cf7c746, 0x1e483fb9, 0xdbdf0712, 0x03728f87, 0x8482ba87, 0x3f20c1fe, 0xd19db11a, 0xb07d768c,
+    0x011fa662, 0x0506a4c9, 0x1909c097, 0xb212410b, 0x73a0650f, 0x0f7f867e, 0x6d7cea80, 0xbd0eb17d,
+    0x89540b76, 0xad982f4b, 0xe2ada0a6, 0x0c1ed6db, 0xee7c63aa, 0x904fbeaf, 0x313d7a44, 0x6ad06a77,
+    0x66192166, 0x4415cce1, 0x40931bf6, 0x081445af, 0xecc6d6fb, 0x20a23553, 0x19110150, 0x00ace304,
+    0xf8e98bb0, 0x743b8c96, 0x6fb13aa9, 0xc0dc7815, 0xcfb49257, 0xad265765, 0xedba72b3, 0x9cba1f52,
+    0xa22535c7, 0x7742ce26, 0x07b9495a, 0x5575312c, 0x4a0221e3, 0x12334d83, 0x336ca607, 0x1d6a9279,
+    0x6d90fdd6, 0x29a8777f, 0x8f14a768, 0xea178df0, 0xcf7e048f, 0x4222a397, 0x1ce028d8, 0xe0398a55,
+    0x34fee723, 0xbce812ae, 0x96486884, 0x5506542e, 0x8ee770c5, 0x88ae17c3, 0xc1eb6cd1, 0x1eb58545,
+    0x45381bf8, 0x6eb0c893, 0x5a4e7070, 0xc3e545ac, 0x8f520e07, 0x729f5eb2, 0x1375a7f1, 0xb63e05a2,
+    0x7b893e1f, 0x1156c960, 0xe620893a, 0x35ec3cb8, 0x97fde399, 0x5a7e0edf, 0x3399121e, 0xd8cc90b4,
+    0x544d5065, 0xd3e45d40, 0x6c482750, 0x1916f84f, 0x334a2196, 0x2cfc38e3, 0x2aca19a4, 0x9211c1d5,
+    0xbb77b384, 0x52ebe28a, 0xd7d8ab83, 0x20a0be43, 0x7e3ac27a, 0x9853e9f5, 0xc6cdf832, 0xcdd5ceb1,
+    0xf0567066, 0xfa1c86d9, 0xba6b6ec8, 0x425eb8dd, 0x40abc597, 0xbe934293, 0xb5528e5f, 0xf967b5ce,
+    0x5e994372, 0xce1084f2, 0x610e9248, 0x80865d24, 0x255ace25, 0x9b839458, 0xc23738af, 0x80916a98,
+    0x936d1135, 0xd65cdd46, 0xaef4a9b4, 0xe05ccd39, 0x4b3c97e3, 0x47386417, 0xa45e3e63, 0x0add72ab,
+    0x72a818a3, 0x19443148, 0xb30923d8, 0x2ad5ed42, 0xc7e82180, 0xd78c65f4, 0x4d56c470, 0x05baa36b,
+    0x8ff56c9d, 0x4be7d259, 0x3f6b4afd, 0x5ab73505, 0xa6c37f01, 0x957cc265, 0x4f62c18d, 0x05e154c8,
+    0x6426df1d, 0xb6fa4ba8, 0x52382417, 0x15a36dd2, 0x2166a0f9, 0x5572432d, 0xb8525beb, 0xe89a1ebe,
+    0x414df571, 0xcce88a80, 0x0db01104, 0x65f9ea71, 0x71e74198, 0x82fecc95, 0x9a71bac3, 0x57ed9438,
+    0x649e7cff, 0x936cb21a, 0xb69f8c44, 0xae6790da, 0x17a9bbbd, 0x0678ac99, 0x64773185, 0xe768c969,
+    0x6bdc8e10, 0x41754bde, 0xe3f69cc3, 0xa6abbd7b, 0xe85dc75e, 0x25c6cc45, 0x8f798f39, 0x6631f7ec,
+    0x21fd757d, 0xe4f24394, 0x7720569e, 0x92ba91a2, 0x0ffd144d, 0x51627e26, 0x99925420, 0xb6607c04,
+    0xa5e887f9, 0xe816cda1, 0xf5d6a92a, 0x65c39a0d, 0x9fce8326, 0x8a5e303d, 0x8d1fe2e8, 0x8012ad4d,
+    0xbffd4f1f, 0xfa3dd90a, 0xe58e1c0d, 0x0f82f816, 0xef18ff1e, 0x840af4ac, 0x2ee28eba, 0xf6256c34,
+    0x36f40e4a, 0xd01d9581, 0x3ea0fe40, 0x6257bec7, 0x63b42e79, 0xcbccb95a, 0xf668cb7d, 0x7dc9cda2,
+    0xaaf5ba67, 0x1854671e, 0xf6728c88, 0x4de9c6c9, 0x6e15d49f, 0x2325347e, 0x6afc84f9, 0xd0e2ecb8,
+    0x541befb1, 0xac849f3a, 0xa48e96dc, 0x5e23db3a, 0x07d9092b, 0x2edb3025, 0x62e06295, 0xbc51eb49,
+    0xb0571241, 0xcb34da2f, 0x920c320e, 0x7a3d3ffe, 0x17bbaf76, 0x4d8ffc67, 0x79a5004d, 0xd45569d1,
+    0x53221f68, 0x5265b563, 0x3b4d1813, 0x93ce269d, 0xd71f6e9e, 0x7b0c6918, 0x99cc5a7c, 0x0faca1f7,
+    0xc56b2e6a, 0x4c8ba46f, 0x2faf7241, 0xc11fc057, 0xbc53ea30, 0x8829febf, 0xd11e94f3, 0xb2ee75bf,
+    0x0a0f9a49, 0x33639556, 0x43f6f14d, 0xc6f63c5f, 0x73c89cc2, 0xdab369cf, 0x0cb89573, 0x2a1f1e0b,
+    0xb1be0019, 0x7a0b4df1, 0x97a10408, 0x1c9b1267, 0x2bb5e415, 0x072d2683, 0xa01b8571, 0xef441485,
+    0xd2ab0ab6, 0x2aea67b6, 0x40c86a1d, 0x1f1e3306, 0x4378da8b, 0x8b0b9d1a, 0x70eedaa3, 0xbb229e5e,
+    0x9d318502, 0x126ad31b, 0x04d3d726, 0xe2253050, 0x74f12793, 0xa86fa079, 0xebe061f2, 0x8ba8a0bf,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000383123885216472214589586756787577295904684780545900544 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb62, 0xaff1bd9c,
+    0x00000000,
+    0xaac30174, 0x457b6efe, 0xd485d87d, 0xd513a194, 0x6a4640ca, 0x0f120d74, 0x98bed459, 0x8878b792,
+    0xa57e836d, 0x1c3ff065, 0x1a9c486d, 0x1117db9f, 0xd830e300, 0x7c1df561, 0x83b2bb3d, 0x069f6782,
+    0x8bca6859, 0xb7be5383, 0x00cba574, 0xe38ede71, 0x675fa67b, 0x2e8d1421, 0xdadfea93, 0x945ff9d7,
+    0xf0f92e69, 0xf6866e5c, 0x77ce73b5, 0xf025c078, 0x997821d2, 0xd6326685, 0xe8bcfb40, 0x33cca684,
+    0x34c4f2a5, 0xa911712d, 0x467aada4, 0x78489556, 0xf9108321, 0x168965aa, 0x93d7fe73, 0x28472c4e,
+    0xa0616441, 0xcf9d3650, 0xa431f682, 0x52b9c3a7, 0xb006192a, 0x3d4fbd7e, 0x4aae5911, 0x947fcd04,
+    0x83138c6b, 0xdca27685, 0xc9032b8c, 0xd25acb81, 0x75fb8f73, 0x7d833aeb, 0xab20b443, 0xcbb0a580,
+    0x19552fac, 0x2978bc60, 0xd3de201e, 0x64d84fd6, 0xadd923d4, 0xd69ea794, 0x0010173f, 0xbd8b0c28,
+    0xa622b4b7, 0x5ec57cbd, 0x82cc7994, 0x806a25b0, 0x55960220, 0x83d9cdf0, 0x4c388dfc, 0x509e4587,
+    0x072eb01d, 0x7fa037b5, 0x4eaf5337, 0x08e6dbc6, 0x49c6e541, 0xd8f55b02, 0xc93ab145, 0x1f2fe56d,
+    0x1f3d125b, 0x385909a7, 0x9b7d2049, 0x537bea4c, 0xd4cad7c9, 0x9ece571b, 0xed8a2b20, 0x7dd0b560,
+    0x7244a484, 0x98aedf97, 0x36089f46, 0x233efe18, 0xd9b2e299, 0x720310f4, 0x4a4e8e3f, 0xaef9a3d3,
+    0xf16073f2, 0xf69451f5, 0xca646737, 0xdb26327f, 0x2b6a360e, 0xce5b2520, 0x2c25ad43, 0x7a999c3c,
+    0x1845a563, 0x2948118f, 0x6fd7878e, 0x98a85fa1, 0xebc67c48, 0x06ed267f, 0x7f768523, 0x7a688fb9,
+    0x6a3d77a2, 0xc04257bb, 0xab2296e8, 0xcd4b9e84, 0x8e764488, 0x11a2f4f6, 0xbeb87f92, 0xd0d8b382,
+    0x694f3aed, 0xbf8b1028, 0x5c6a9031, 0x2b9016cb, 0x7af317d9, 0xefbda971, 0x82e1d196, 0x08f36d2a,
+    0x8647c7cd, 0xfe3c840a, 0x26fa16aa, 0x13cf6b02, 0x5dc12180, 0x7d8a566a, 0xfdefcbc2, 0x20679d9b,
+    0x1b22b006, 0x67c4f128, 0x31f63c31, 0xb6ed1532, 0x2f8ca991, 0x51fa0dbc, 0xb6729387, 0xa28c4626,
+    0xb1424c7a, 0xdcd460bd, 0x250f8a8c, 0xcf8d48d5, 0x98e9d078, 0x1135aba0, 0xd9c0defe, 0x3948d20d,
+    0xd4daf2f4, 0xa767bbbc, 0x847040d6, 0x3e5a5f31, 0x0410fb9b, 0x57ad5b51, 0x54b32fec, 0x2394f607,
+    0x847beca4, 0x85753933, 0xae3b1b8e, 0x90330339, 0xebc57737, 0xbc73756d, 0xcdbff11d, 0x55ec3f9c,
+    0x6a8f529c, 0xbe0dcad6, 0xf7384152, 0x253b8698, 0x4b9ca9df, 0xf81eb654, 0x8c122af6, 0x078ac76b,
+    0xe44d3c44, 0x507d596d, 0x14b9fe97, 0x9c5bf92c, 0x04b8031b, 0x8072525b, 0xdd1ce494, 0x55b9b539,
+    0x23fe2915, 0x0d599e38, 0x20f00fff, 0xb2163985, 0x73236cd9, 0x5b9b88ae, 0x3d36182b, 0x1fbe9dcb,
+    0x7a96d29e, 0xea15f7cc, 0x2ae96ea8, 0xf943f32b, 0x0ed96a75, 0xabea9207, 0xb129ad40, 0x99060fa8,
+    0xb53b552e, 0x2081b449, 0xbcf79415, 0x1c4208ec, 0x1201df64, 0x370216d0, 0x43d8bd87, 0x9fff90d9,
+    0x1daedd0f, 0x426471c2, 0x84968fc4, 0x58053e78, 0x17ec3c72, 0x3c654426, 0x7b903e56, 0xc49e4760,
+    0x5c65de03, 0xec895e22, 0x6ec8e1f8, 0x37f19867, 0xe6fd34e9, 0x9bde56bc, 0x349aafc4, 0x35915339,
+    0x07401839, 0x70efd68d, 0xc035cb47, 0x77b8e319, 0xf290886a, 0x809e3513, 0x4415cd2a, 0x196e68e6,
+    0xe7c5c5b2, 0x1549a3c7, 0x95c0cdbd, 0x207eff19, 0xb8f04030, 0x301b9ae6, 0xafdebb06, 0xaf82295f,
+    0x7d3b0999, 0x6b91f828, 0xa6ca1912, 0x8ebdcd7e, 0x02e751aa, 0xb245ec43, 0xeb24c9a4, 0x78fa3f12,
+    0xefb1f6e7, 0x46672c54, 0xa27511ff, 0x2dc81f38, 0x06f3e6af, 0x73db0588, 0x67ce4eb1, 0x9daaf7b7,
+    0x11b4c1f4, 0x6bb52f20, 0x81dc8a6c, 0x7be5826e, 0xf346c290, 0xcdbd26f0, 0x0141e837, 0x2cf2b599,
+    0x0dfeda46, 0x832fd94a, 0xced7d1ec, 0x78070e77, 0x4a940a29, 0x22ff581d, 0xc230e172, 0x86212f27,
+    0x4538b63e, 0xcfe99a9e, 0x2039d23a, 0x7b23717a, 0xb396ef7a, 0x1fdc077c, 0xc0d4ff8e, 0xd4a3d866,
+    0x75db3e95, 0x8cab0fe0, 0xb9fdde43, 0x2183bf85, 0x249ddb4e, 0xc0dd48d7, 0xe11e17e0, 0xce95c3e1,
+    0x03b53ebe, 0x04a4fcdf, 0xb0ca7c7c, 0x48f7b1f3, 0x1dc66a6b, 0xe4ab7ef0, 0x28605d4e, 0x7abeb87c,
+    0xee2d1a8d, 0x3d5485a2, 0x978ab774, 0xb4ab088f, 0x66b4ca42, 0xc475149d, 0x0089b603, 0x109333fa,
+    0x0a87e9df, 0xd59e28b6, 0x397211a5, 0x00a33c17, 0xebbd24d8, 0xc9cd2828, 0x3066402c, 0xe326f32f,
+    0xdbf9c575, 0x767af32d, 0x50fd40ad, 0xa31b39c8, 0x42b8928a, 0xfd7f1933, 0x009de95d, 0xe6548d7c,
+    0xaeb01804, 0x4266c7b9, 0x11054397, 0xdf5dfeba, 0xac1f5682, 0x14e63a21, 0x6aeeecca, 0x51b21575,
+    0x2f3109f6, 0x959a3253, 0x2d0cc342, 0x816df529, 0x9f2aace3, 0x33afc33b, 0x4f45b156, 0x0bdb5c99,
+    0xd155149d, 0x8da72fe3, 0xa32d14bf, 0x8be3ef5e, 0xda4c5797, 0xf2fc2403, 0xc05cf403, 0x207b98cc,
+    0x679f4f11, 0xeb4bc5c4, 0xdda261ed, 0xabbae1de, 0x39c6eaa0, 0xcd9f82ca, 0x43d75867, 0xbd5b969e,
+    0xe164a8f7, 0x48a4ae15, 0x877bf147, 0x259ef8f9, 0xab5598a1, 0x31d4c334, 0xa6d05cf0, 0xc4f8113a,
+    0x16e1ef01, 0xcc1011b6, 0x8c89093a, 0x60023b3f, 0x30d3a7e8, 0xb3b8c4fc, 0xc21c2291, 0xdfd0ceeb,
+    0xba2706a5, 0xa0984fec, 0x907c4ba9, 0x6060224e, 0xbf8d360f, 0x1244d84d, 0x118abff9, 0x8ff58f3b,
+    0xc5e3a51e, 0xf73c442b, 0xcfe834af, 0xdefe446d, 0xab01e0e1, 0x5be3ecd1, 0xaaaef7a3, 0x996518b2,
+    0x61d66cef, 0x8080c5d2, 0x5059c619, 0x84c3ef41, 0x5e101809, 0xed6b9ce7, 0x249d9601, 0x872fb396,
+    0xbe8f6fe7, 0x9e657255, 0x6106c277, 0xf74fd389, 0x825d40ca, 0xf8eefe72, 0xbfff72b5, 0xde4ebd0d,
+    0x698f8bbb, 0x4a6c32d5, 0x80b5f70f, 0xa65b4e7b, 0x81278d5f, 0x65db2c50, 0xfdc8992e, 0x5e03b7c3,
+    0xda6665d6, 0xc9d7cd23, 0x51d8e517, 0xd5fec972, 0x477bc310, 0x3eb889b5, 0x5eef7503, 0x61070fdb,
+    0x640fdb86, 0xad5f1968, 0x93b9a1b9, 0xbf4800c2, 0x482d52d9, 0x9d1d4cf8, 0x19e7f337, 0x94187075,
+    0xde81b580, 0x90b5f660, 0x96e3e449, 0x490af0f7, 0x5766bf1a, 0xb164fc55, 0x0f11702d, 0xbe32a2ea,
+    0x5249c5bf, 0xcb4376d7, 0x14b86d8b, 0x511992c1, 0x6f65a1fe, 0x8f943eef, 0xc2118ee8, 0x7d77b07a,
+    0x2b4730a8, 0x248e9887, 0x213a5fe5, 0x286498ca, 0x89c18070, 0x94a9ac2a, 0x305d4b80, 0xec3f3b18,
+    0x742bd13e, 0xdec4673d, 0xf406feac, 0x2418d913, 0x69e53ed4, 0x4ba444da, 0xcd1959ad, 0x64e7c18e,
+    0x6836e593, 0xf26c899a, 0x20e1c5a3, 0x1c5d527c, 0x5bb4297b, 0x1d762c69, 0x83c21c3c, 0x5fbab10f,
+    0xebbede24, 0x8c484ab8, 0x82102872, 0x49cc9515, 0x47128978, 0x8b98c331, 0xbc52d44b, 0x62cd959b,
+    0x063c40ce, 0x17095c7d, 0x31f9bd82, 0xbe612161, 0x944cbf60, 0xed99478d, 0xa9abe216, 0x0b031c61,
+    0xd6ecd22a, 0x2cc76d32, 0x13c89270, 0x8eb185a8, 0x76b00c4e, 0xb99462b8, 0xbab02b12, 0xe32f8e1f,
+    0xf8fb1462, 0x3ba908f7, 0xc7fe7b55, 0xf0068184, 0x3b96a9c5, 0xa91a91df, 0x06d9d960, 0x0a01ae13,
+    0x2c594252, 0x9c0b577f, 0x493b6fe4, 0x41bf5ec9, 0x34030a1e, 0xff12b127, 0x102df401, 0xfce3818e,
+    0x5839ab79, 0xd4bbc1bd, 0xd4dd0363, 0x0ffdaeb3, 0xb64c2e0b, 0x6379defa, 0x261a90e7, 0x44be14ce,
+    0xca94af36, 0xefa1ed3d, 0xe7e88b29, 0xd2b78ec6, 0xd561756a, 0x3ef1c3a3, 0xdc5531ae, 0x9359165c,
+    0xb89f3dbe, 0xf529e5e2, 0x0287baa5, 0xa0d5ba6d, 0x6265f62f, 0x3be47181, 0x5380b518, 0xcc99aff3,
+    0x6e7f37cb, 0x07ee2a31, 0x9cef917d, 0x5f782ac2, 0x8960371e, 0xf61e5959, 0x1c9972a0, 0xf5bd86a2,
+    0xc00a9970, 0xf90e396a, 0xa8a8da9d, 0x6b15cbc9, 0x4d7eaaa1, 0xd235d075, 0x7af9249e, 0x1a92f382,
+    0xb3dd87ae, 0x35fb352c, 0x2a9018e4, 0x18e7ed78, 0xb68f7e9f, 0xe01616c0, 0xf0016fdf, 0x63b2001e,
+    0x96bfdd29, 0x174d13ba, 0x56b4f98f, 0x20b0a863, 0x3f7d165f, 0xfac07d3f, 0x9566119f, 0x8b29e48c,
+    0x1bdc1825, 0x11076770, 0x0fda3c29, 0x9486d278, 0x371fbafb, 0xf9f27a92, 0x3ae3ab2e, 0xfde18d8e,
+    0x5568a9ee, 0xc1699c9b, 0x5c5cd91c, 0x3fb67866, 0x97e7a5ab, 0x180fb38c, 0x43a85bf4, 0xe71a1e15,
+    0x28573589, 0x67ccae6e, 0x1935b489, 0x347e236b, 0xd6b6b8a4, 0xb84378ea, 0x7b646c56, 0x4e759f63,
+    0x9547f548, 0xadaa6d7a, 0x83656bb6, 0x41cded34, 0xcaa98f19, 0x001651e0, 0x43ee5c6e, 0x93e6b6d5,
+    0xd31eff24, 0x43bbc87b, 0x3c6eee96, 0x79204dfa, 0xb354a5a5, 0x5b813617, 0xd9065742, 0x94daedc2,
+    0x414f6002, 0xa3985ab4, 0xac63188d, 0xb82cdae4, 0x12759167, 0xfbefb5cc, 0x8a655672, 0x10eec1a1,
+    0xcb576bc1, 0x39327350, 0xec88ef71, 0xacc378ed, 0xc928cb31, 0x74afe528, 0xc80fca02, 0xf4438616,
+    0x4ecbaf8c, 0x352b9152, 0x0acbd599, 0x83ed746a, 0x4a4d37e7, 0x91e4ee9d, 0x3854f515, 0x40094366,
+    0x1f67ef2d, 0x72daea7e, 0xe2ae2f11, 0xdc8a47c6, 0x1949c64b, 0xffd96c8e, 0x6df11566, 0xb3e5e363,
+    0x78ea0e2d, 0xa2f0d994, 0x99501329, 0x95eb6977, 0x015d177d, 0x37c4959e, 0x0cd4cb49, 0x70d8f756,
+    0x147220bb, 0xf1a05495, 0xaf18aac2, 0x3e03f9de, 0xcb8e4d4e, 0x6e31d979, 0x9a004171, 0x9be5f838,
+    0xa5dc14ee, 0xafcfda88, 0xb92f36ea, 0xd10f89dc, 0x4a75d6f3, 0x03f8e8e2, 0xdcd38988, 0x757553b5,
+    0xe66befbe, 0xe626e1f7, 0x3a8273f0, 0x9a850d5f, 0x5d5e402d, 0x055b1aa3, 0xfc1a77dd, 0x10dfd3a4,
+    0x7d926c53, 0xd712f552, 0xf660a1c5, 0xce7edf28, 0x44f0496d, 0x8a1831b4, 0x830d4412, 0xddc12ecc,
+    0xa7978481, 0x6fb2414f, 0x7d330f28, 0x70d09f8e, 0x63399c7c, 0xf8da17f5, 0x5f937367, 0xeb0cf73d,
+    0xe7468cc7, 0x10f44b7d, 0xb3d9b7b5, 0x4c23da7d, 0x903df8f3, 0x302542e0, 0x1b39ce3a, 0x5aa6e39b,
+    0x0bbb7158, 0xb87134be, 0xf6332be8, 0x18d8cc84, 0xb688600f, 0x09ebd812, 0x0c6bda78, 0xe3c2ae54,
+    0x2ac987b0, 0xe308ecc5, 0xc9a08bc6, 0x7c22a39b, 0x043ebce3, 0x77d11fa6, 0x9989db71, 0x725dd01f,
+    0xd902fef9, 0x28069b3a, 0xca6daf72, 0x62bdbbfd, 0x0ef4c89b, 0x70f136bd, 0xbf23218e, 0x9e0d069a,
+    0x7fe7cc5f, 0xee534e84, 0xe54bd94d, 0x354c6051, 0x8f3a28a6, 0xc7c9e932, 0x5bc582cd, 0x1eec253e,
+    0xd194a985, 0x1df9b7f2, 0xbe47043f, 0x7162e81c, 0xc8f75e56, 0xd3954317, 0x0b43e386, 0x38a3e3c7,
+    0x81727814, 0x58b98dfe, 0xe1ced642, 0x491dec05, 0xfcff7e26, 0x55c8fb8c, 0x91f83963, 0xe74001d9,
+    0x483d2ff8, 0x87db5677, 0xb1768de1, 0x1081dd54, 0x6b0f640b, 0xb4913829, 0xb97da7e1, 0xea5bb3c9,
+    0x9da7197f, 0xd7b8d4f0, 0x824bdf46, 0x92beb763, 0x1e80c1cb, 0x450b4f54, 0xcacbfbea, 0xd51c1603,
+    0x43c7c81a, 0xc6590857, 0x1a6b5df3, 0x24d06567, 0x878502d9, 0x035cf8b6, 0xa4142fb6, 0xaf632b13,
+    0xcafee7b4, 0x9b5e653e, 0x2fd8bf6a, 0x7a2f633d, 0x533719dd, 0x60a87b65, 0xb5ed8629, 0xc9081cc6,
+    0x0526aeb2, 0xcaf565e6, 0x00bce308, 0x398ded90, 0xe8f7f0f5, 0x9d32b80b, 0x0131c804, 0xb0a05edd,
+    0xd4821f2a, 0x5aaa18e9, 0x0d1c5b19, 0x42b5dd22, 0x7a9e3070, 0x7ad269f1, 0xbdc003a3, 0x92ea0cc0,
+    0x03a4fde4, 0x399d3cc9, 0xb9ce3760, 0x03e487a0, 0x5acd848b, 0xe347594f, 0xf56627a7, 0xbcc4fc84,
+    0x2e621d1b, 0xb8527ec0, 0xa83edac5, 0xef0144ce, 0x4f711df0, 0x37510aff, 0xf4305a20, 0x13945187,
+    0x1ddbd85c, 0x8d2192bf, 0x0d427ed7, 0x94581b7a, 0xd5cea0e5, 0x2e79298f, 0x74262702, 0x0de0c654,
+    0x3ed35f14, 0x57e0d78a, 0xe25f8fd3, 0x01e75e4e, 0x48390932, 0x8e74e9dd, 0x6a1f5602, 0x247a7938,
+    0x5df7bac2, 0x98cc0ded, 0xe0449151, 0xacc29427, 0xa9e1e1b5, 0x815bf182, 0x0ba6a9c1, 0xd33ad3fd,
+    0x5715703a, 0x00004004, 0x1ad82044, 0x422669d6, 0x9abb6d2d, 0x4bebe5bb, 0x58653497, 0x22b666c3,
+    0x52105fe2, 0xb4ea9ed3, 0xf7e6d382, 0x09fa8893, 0x7509d6c6, 0x6acc109a, 0x019ee558, 0x3229dd82,
+    0xc2a19b34, 0x344c5503, 0xb2f6be3a, 0xc594fb8d, 0x5a763a58, 0x68df5916, 0xe74fb7fc, 0xe622fffd,
+    0xe07d9bdd, 0x65b550f1, 0x58979a38, 0xa0848d26, 0x87795535, 0x74d7edeb, 0x326ea205, 0xf7800b52,
+    0xc23fc9b0, 0xd4a03508, 0x18aa69c5, 0x2bab9bc0, 0x2e54c6b4, 0xd647193f, 0x007984ee, 0xdc29a3d4,
+    0x04a841fa, 0xdd4dbe23, 0x4b9cb3d7, 0x35213aa6, 0x409545a4, 0xb32561f4, 0x920cf1fb, 0x21d55e81,
+    0xe85df002, 0x528f808b, 0x00ed433e, 0x8f98b900, 0xded3656f, 0x19b5efa4, 0xd842ec40, 0xe593de00,
+    0x9b2055d5, 0xb8abb220, 0x176d8f9a, 0xc27b5c26, 0xba0901b9, 0x05aecfcd, 0xa8ac40be, 0x78ad0619,
+    0x024d62f1, 0x0f9d1c49, 0x2502e35b, 0x84b0d671, 0x736ad216, 0x732960a4, 0x810bf136, 0xca8fa8d4,
+    0xa1ca9b23, 0x4a7e1b31, 0xacf3c039, 0xb02b709d, 0x857fc82e, 0x8d4f7472, 0x5575f61a, 0x84bba199,
+    0x1aff1227, 0x874bf4d3, 0x60312bf5, 0x6644e540, 0xe3682184, 0x0c391ab4, 0xdf5124aa, 0x56cfa9a0,
+    0x9f8f59e9, 0xfec6c73b, 0xdc627629, 0x51dced49, 0x6111dab2, 0x50730139, 0x27704b77, 0xe340e49d,
+    0xeb24b033, 0x47205fff, 0x96db466a, 0x479e7daf, 0xca352a9e, 0x1b193b7e, 0x4b8d5bfd, 0x5cdb4eef,
+    0x052625d7, 0xb229fd3d, 0xc519100a, 0xa99255ce, 0xa29d7107, 0x778ad604, 0x0678ed9d, 0x3a07228e,
+    0xf3243f5d, 0x4ff2937c, 0x61fadec9, 0x94c392e9, 0x113cbd03, 0x7c9a4594, 0xd2c76d79, 0x241b046b,
+    0xa117e325, 0x3a30f82a, 0x3b0f6737, 0x493fc9bc, 0x2381a80d, 0x129f0560, 0xe340ef43, 0xbad4c3a4,
+    0xac0a30c7, 0xfb642fc8, 0x98d1fa66, 0x2efdad1c, 0x6555efe6, 0x7adc11d9, 0x6ea2098b, 0xc235a61c,
+    0x83bd458a, 0xf8ef620a, 0x772cf878, 0x4ab8d966, 0xbbe7eb6e, 0x4bd24612, 0xfa597456, 0x24930e24,
+    0xe6a02b40, 0x7b802689, 0x0cc258e1, 0xebf3d1ae, 0xf6437f2b, 0xe8416191, 0xa4dab366, 0x954d6af3,
+    0x82ffc0e8, 0x5d6afa76, 0xc3915dcc, 0xd8cdbefa, 0xc75bcb38, 0x57f1a878, 0x6cb8e666, 0x74c589b4,
+    0x1d79fc7b, 0xe2625d75, 0x530a16e1, 0xde54cbfc, 0x23914b1e, 0x0c06edd1, 0x8c16fb6b, 0x528eacc8,
+    0xcbcd99f4, 0xa8525095, 0x05e32448, 0xd707b934, 0xfc7bed6b, 0x453e14c7, 0xe3bc1077, 0xb183e855,
+    0x885838e4, 0x8869cdf7, 0x03282b4b, 0xa5482af9, 0xff25081b, 0x23627a17, 0x36b8f6f1, 0x1a80e400,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000191561942608236107294793378393788647952342390272950272 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b1, 0x57f8decd,
+    0x00000000,
+    0xd114d288, 0x63d8abe3, 0xfc29efdf, 0x677089a0, 0x3823bd40, 0xbea5e5b0, 0x821fa873, 0xb176c7db,
+    0x4693b4d8, 0x552726a7, 0x12b6e56a, 0xb958f43c, 0x8403af03, 0x2c1426ca, 0xc3523ff2, 0x917abc17,
+    0x5648dbc5, 0x52990fc9, 0x01319c01, 0xcfbbcdf0, 0xfb9893fb, 0x92e1bcf2, 0x82804841, 0xe562c3a6,
+    0x288a7ce2, 0xc8432879, 0x9b6e841b, 0x6106587d, 0x6d7dc366, 0x2f213f90, 0x8d9131bf, 0x375601cb,
+    0x6e0abeff, 0xcbac7705, 0x0a4fec76, 0xd770d34a, 0x92b1531c, 0x18108993, 0x34b4a205, 0x46d262a3,
+    0xc933a025, 0xaf752be5, 0x83d7fd32, 0xc255f502, 0x73b1fec4, 0x7976d03a, 0x3aa84f89, 0x9f08dead,
+    0x502c9186, 0x28f3d97d, 0x3486f78a, 0x2aa57192, 0x7e7b1e7b, 0xd84df68f, 0xceaae506, 0xf947b107,
+    0x1b408d22, 0x12cbf4e7, 0xa75410fa, 0xee75f9fa, 0x8802d60e, 0xb8af9c29, 0xa287fd09, 0x726404fc,
+    0x9c460343, 0xa07dc035, 0xa7d77d6a, 0xed5b0044, 0x6e55b7f3, 0x94358313, 0xbb6010d6, 0xdee8eb8b,
+    0xff901ec8, 0xdf068289, 0x0c795d3b, 0x8d66d805, 0xd4abda9d, 0x95d608e0, 0x860758d6, 0x0b74842a,
+    0x08b7d16a, 0x54a81248, 0xcfd02e26, 0x2a3078c3, 0xaa92a99f, 0x804809fd, 0xac8ca58b, 0x60582b4a,
+    0x3727c8e9, 0x7d7d96b4, 0x756f9195, 0x3eeb8c6c, 0x7042d8df, 0x788475f7, 0x945687a3, 0x0fe450ac,
+    0xf57d3e63, 0x815be1bd, 0x629b4911, 0xe535efda, 0x4be77077, 0xc8b15eaa, 0x1d38fe90, 0x3f30992f,
+    0x3e39f4f2, 0xf865921a, 0x349cb981, 0x9441b815, 0xeebef6c6, 0x7b6f2f22, 0x0a98e22e, 0x68c54aa1,
+    0x371d4134, 0x27ae8550, 0xd751913a, 0x2f1ba75f, 0x9234ce0d, 0x611f13d7, 0x5483a1de, 0xe3c3d8f6,
+    0x2f392f55, 0xd54da22a, 0x686057a3, 0x7d10c4b7, 0xafcba029, 0x95b4c481, 0xc8818122, 0xadef291e,
+    0x7fa9a5dd, 0x2bc7c61c, 0x4c132032, 0xd246151f, 0x29c912fc, 0x42b902c6, 0x57ff3477, 0x4bf2f7d2,
+    0x7e75a477, 0x658a3702, 0x19a0c52f, 0x42fcceda, 0x47aa43e0, 0xf742b0c6, 0xdbc31ac9, 0x63600b00,
+    0xbb0948ba, 0x340ce2bb, 0x38d98dfd, 0x953f24bb, 0xd10dea37, 0x4c44e0ac, 0x87e64f0a, 0xded7e56a,
+    0x78f01a7d, 0x10ed73de, 0x5d3c51f9, 0x42626594, 0x855a18f2, 0xe79d7c64, 0x3ed42de4, 0x84fdc6d1,
+    0x663f568d, 0x7b527691, 0xebb6fd7c, 0x92e86793, 0xc7f69720, 0x40774ec2, 0xb33bddbc, 0x0dedc8f8,
+    0xc33ee4e8, 0x38fc6944, 0xf8cfdf6b, 0x049e740f, 0x940c30ad, 0x0b849db8, 0x1aa1865d, 0x6f30dace,
+    0xb1313df6, 0x164fd886, 0x014a9d38, 0x0ae29878, 0x070f8fff, 0x18b99d6b, 0x876e65ad, 0xbf515525,
+    0x77ffd804, 0x702609a9, 0xb79d8eee, 0x80d21cc2, 0x0d5fb21d, 0x6c04c367, 0x8cb9d721, 0x5a5b9147,
+    0xd134082c, 0x05e28542, 0xab050c2a, 0xd48f54d2, 0x6c762d0d, 0xdd120b5e, 0x6d17a37c, 0x4380c236,
+    0x8b7066f8, 0x799732e2, 0x3541e726, 0x6fd517b0, 0xb480a807, 0x46b88de4, 0x2ef5baf8, 0x1ece7f16,
+    0x3328e967, 0xac84a27a, 0x3739b057, 0xca114db2, 0x119f0ead, 0xd626c9b6, 0x19e5712a, 0x5ffc70d7,
+    0xcd40e2d7, 0xdcce14b9, 0x43a7bb32, 0xd8edd9d0, 0xee4aeb68, 0x64c44de9, 0x8aedff0c, 0x5a538e13,
+    0x22219e37, 0x5f02f0a7, 0x28f360a7, 0xd5812fe2, 0x36907496, 0xc35fd4ce, 0xf2af84df, 0x7539cefe,
+    0x1a780392, 0xdfbd2cb0, 0x4a5a303f, 0x51ba6460, 0x95dff8d4, 0x97ca993c, 0x6c846f69, 0xa6540dc9,
+    0x50fc412b, 0xb7f002e8, 0xad047a9c, 0x9b94c4ac, 0xb614ea0b, 0x38181e7c, 0x24e27032, 0x79793044,
+    0xd7ce95d7, 0x273595bb, 0xcc673863, 0x0e4e6d76, 0xcb024abd, 0x030ca3e6, 0x3e55d890, 0x1ab550b6,
+    0x1e4e3f9f, 0x6ea0bad3, 0xc95a4cd9, 0xcd80e118, 0xbd2931ca, 0xea9c132b, 0x438a398b, 0x7604df81,
+    0x5549c044, 0x9458b574, 0xf674c344, 0x2c845347, 0xa91cf97c, 0xb5beeafb, 0x790bc791, 0xb30b3377,
+    0xc4ac79d3, 0x0ad1d0b0, 0xa90dcc91, 0xfeb72dac, 0x1ca59b0b, 0x8add2265, 0xcd4c8ccb, 0x1fadd8a5,
+    0xc6da4465, 0xf16916be, 0x4023a6ca, 0x88857856, 0x776a29fb, 0x1d8c4f79, 0xd9a49822, 0x4c5ef89b,
+    0xe10981df, 0xfb9122c6, 0x1ab2eed7, 0xd284f903, 0x23f3d50f, 0xfe616d29, 0x277d7160, 0x18014dcb,
+    0xa2db52c0, 0xae7856c1, 0x277995bf, 0x5db68a7f, 0xb60b12c5, 0x62e912cd, 0x4d735b1a, 0x197eeb93,
+    0xb4d90b30, 0x892c3fd3, 0x54b9e015, 0x1b66f912, 0xcf390a9c, 0x9bbbf959, 0xe5dd147f, 0x8bf0d9d8,
+    0x6d8c37ab, 0xf53d4406, 0x05465318, 0xc037f150, 0xcec966ce, 0x4e7c8fb6, 0xbc92e7ff, 0x8c20e6d2,
+    0x359eae42, 0x22c85de5, 0x8222e21c, 0x4d787796, 0x730009d2, 0x36f27741, 0x355f0005, 0x64e27037,
+    0x8378932c, 0xe3800184, 0xf253bd1a, 0x26a16efe, 0x7e445791, 0xeed97d39, 0x22e2e04f, 0x2d0bd747,
+    0x3edc5565, 0x16223f4a, 0x058381dc, 0x267297e8, 0xce7d3f02, 0xb2ffb4a9, 0x122f9dd8, 0x05cd6e16,
+    0x7c4e8c7c, 0x7ae97c7c, 0x997ad284, 0xc4c5c34e, 0x3260a92f, 0xd99be36f, 0xd8ca6da1, 0xf8c2903c,
+    0x5412a9fe, 0x9c9489b4, 0xdd07540f, 0x38f42fc4, 0x09a1c968, 0x1dd7f62c, 0x5878d1d1, 0x0b5b2d49,
+    0xc2150804, 0x5ca4e7d4, 0x63ee03d5, 0x927faa71, 0x02416421, 0x64520535, 0x3d7f38f8, 0x126b31de,
+    0xc4dbaf18, 0x1e99178f, 0xcc7e1c78, 0xc4110b9a, 0x09fcc35e, 0x3d0b6698, 0x39f1256f, 0x8ab06394,
+    0xbf42a578, 0xafcc744e, 0xbde6e22d, 0x8cb6cbf6, 0x62df6f1b, 0x55a096ca, 0x44d7e47c, 0x461bb56d,
+    0xe6edba07, 0xed9165e9, 0xd0738c23, 0xeb04b2bb, 0x9ba67e5b, 0x0fa75e78, 0x1baf85fd, 0x958fdd8c,
+    0xafc0770a, 0x47eda6ab, 0xb40dac6e, 0xee38523e, 0x099b09be, 0x05d37287, 0x5f45f84e, 0x12c6eee5,
+    0x8221cce6, 0xbefa8454, 0x0e015404, 0xeb8d7d1f, 0x6d994b99, 0x493d2158, 0x29396e34, 0xec141ce6,
+    0xa3183ca4, 0xee4c2b85, 0x644ed097, 0x6b1e5e95, 0x8564be55, 0x8dd3e0a3, 0xd58ff01e, 0xd4ea08fc,
+    0xdecc4b3b, 0xa116f5aa, 0xaf9e9686, 0x286081fc, 0xc05f1d6e, 0xc067599c, 0xd28db1e3, 0x5788f221,
+    0xe3ca6d86, 0xbe3bfc4f, 0xc681618f, 0x5720db8b, 0xd5c4656f, 0x12244060, 0xc21d7b9d, 0x0183e3d9,
+    0xd9747d44, 0x606a086c, 0xee3f31e8, 0x2b3c20a3, 0x3cf72e4b, 0xc5e1cf3d, 0x7007154f, 0x549aa621,
+    0xac4718b4, 0x382ace58, 0xb0e2eab9, 0xfc2c930b, 0x9bb09cb8, 0x4deac4da, 0x5106fae4, 0x402066ed,
+    0xfa386db0, 0x08c4ad06, 0xe69657c2, 0xd4791ef7, 0xd181e84e, 0x437c43d0, 0xe6e5df67, 0x0d2f5f47,
+    0x5c11c3af, 0xd1f8a25a, 0xc9c6c266, 0xbc778d98, 0x2e58bf6a, 0xb8467e3a, 0x4ae0ded3, 0x70e05734,
+    0xe2147bbe, 0xf74a9b8b, 0x43d62f59, 0xe2335877, 0x80d778c0, 0x7cb569d8, 0xb346e32a, 0x4d1eb362,
+    0x66fb1b06, 0x19accd90, 0xa4618909, 0x00877ab3, 0x68167130, 0x70c92200, 0x996a7b6e, 0x0e41e804,
+    0x9fa4f66a, 0xb2527b2c, 0x9afa19b9, 0x78f57285, 0x31344791, 0xb6009a0c, 0xfeb225b0, 0x3d4d7d0e,
+    0x60d024ad, 0xf2492f39, 0xf9ae97a2, 0xdef31a03, 0x3d61556a, 0x27232ac3, 0xdad579d2, 0x22e7ad22,
+    0xfb6d3b4d, 0xbd162fb9, 0x72dfcce2, 0x2a5ecb2e, 0x51df0125, 0x1e6eed43, 0x86c8c7b9, 0x03c4d30e,
+    0x387f53ba, 0x06c6e753, 0x2111db67, 0x0e55c121, 0x39f75a70, 0x595917fd, 0x7c338e93, 0xac992b39,
+    0x2543c462, 0x4ed0135c, 0xe56bb934, 0x76fd1129, 0x1e492e5c, 0x81f2baf1, 0x2af7cba8, 0x87672296,
+    0xaec2383c, 0xe32281fb, 0xc6754898, 0xfa26d9df, 0x4be4adb5, 0x0ecec85a, 0xc4bb9afe, 0xb97c2ded,
+    0x2c225502, 0x9f15cad6, 0x9607eda0, 0x73471266, 0xea597480, 0xde4abcf6, 0x70f7b426, 0x649b7a3f,
+    0x9184593b, 0xcc5f3976, 0x02be31a7, 0x886051a9, 0x0b7fdb5f, 0x460d049a, 0x79d97f63, 0xf9fde362,
+    0x480e9cc1, 0x5c8dc8c0, 0xc58e111c, 0xa7473192, 0x143a6003, 0xd4ff32a1, 0x555a54f5, 0xced789d3,
+    0x0e89df5e, 0x827eee9f, 0x02a32d68, 0x1366245f, 0x9984d5dd, 0x5cbac2cc, 0x8572d49c, 0xc7eba154,
+    0x802a2060, 0xc35ed140, 0x3a72d169, 0x441ae03f, 0x76bf9ed7, 0xe98c54df, 0x040149a6, 0x502378ab,
+    0x7b9ebad8, 0xf0495782, 0x35840b31, 0xba63ae00, 0xabbd399b, 0xb03fd66d, 0xbc5db2ca, 0x82797c63,
+    0x6d51952f, 0x534d5892, 0xdf3fdf7c, 0xbf00e9b4, 0xd3a352df, 0xaaa5ca7c, 0xf78688cc, 0x8280d132,
+    0x2d7562f0, 0x29febd7d, 0x2ed527da, 0xc16183b8, 0xb839cbf3, 0xcc355869, 0x948b37a0, 0xb5957545,
+    0xb4878e52, 0xdd4a1a04, 0x84f8d89a, 0x7747b9f0, 0xf6ea3f2b, 0x61114bc8, 0x0d1b8065, 0xcc785220,
+    0x5b44e149, 0xb1d0af9a, 0x4beacbab, 0x75ec42d5, 0x54cc8bce, 0xd61b0361, 0x9beca222, 0x886756ab,
+    0x242c7709, 0x510bfc80, 0x1ac125a4, 0x081c8313, 0x9caf1029, 0xff21a29b, 0xbf683127, 0x4acfb0c3,
+    0x9eeb8a60, 0xdc0fc6c7, 0xe88505ca, 0x8948d91a, 0x080aba8b, 0xfe0ad5b1, 0xf95d06bc, 0x25923c07,
+    0x7dc55e60, 0x69b7a311, 0xc42ed0af, 0xa0e0466b, 0x529fa4cb, 0xcda85602, 0x1f616f30, 0xd1292120,
+    0xe372317d, 0x07effd80, 0x360a9adb, 0x0daf42de, 0xcd8267cb, 0x9ccd8330, 0xf1636769, 0xde8816ed,
+    0xcf0a3396, 0xed67def4, 0x90782bea, 0x70167ce3, 0xfd71f596, 0x26613e62, 0xe1c7bed2, 0x6592700b,
+    0x291f37e2, 0xd3b81283, 0x6f20da7c, 0x8563f4ba, 0xd7707950, 0x49c1ef50, 0x1d4dbfd5, 0xb3c9ac63,
+    0x151e01bd, 0x7a2d3d78, 0x456727e4, 0x6d6d4766, 0x956cf999, 0x92330dfe, 0x5f509090, 0x764a4e28,
+    0xe6f843f8, 0x2914ca40, 0xe5930d19, 0x3d3365a4, 0x416326d2, 0xe768ebf0, 0x9f896104, 0x92b5faa1,
+    0x946177b4, 0x08ad2534, 0x0fea1545, 0x9e67a9ab, 0x4d27edae, 0xe4035bd6, 0x83a0c1a3, 0xa83efac6,
+    0x0bd6f024, 0x8c42f21d, 0x758e8731, 0x9bd1ccaf, 0x9307ea5e, 0x36256969, 0x60210fab, 0x53c964a9,
+    0x5aabec30, 0xd97e8646, 0x96a89e94, 0x2e3ad9db, 0x91d7f053, 0xc4e4bd25, 0x605af2b3, 0x4a409c19,
+    0x9d9d9eb4, 0x680bc975, 0x556fcb8b, 0xa1b93a15, 0x1ba09416, 0x4e6a7025, 0xf621dd50, 0x0003084f,
+    0xb8f5ecd6, 0x2b0fb99a, 0x188f1514, 0x9368d811, 0x8e2cd5a2, 0x6f0edd07, 0xe83682b1, 0xe223860e,
+    0x1ecb1d67, 0x93c29e69, 0x91a30a31, 0x116b81bb, 0xef267323, 0x7966d2d1, 0xa4386f9d, 0xdfc40925,
+    0x7f95ea4d, 0xe402e1b1, 0x7fd3140c, 0x9332589c, 0x4a253e80, 0xf496bfb7, 0xb35595c1, 0x4af83ae2,
+    0xa2d0014a, 0x2e3b6fb1, 0x9fe1351c, 0x5dfc45f7, 0x4457035c, 0x4ca33584, 0x47b28646, 0x293b91e1,
+    0x1bcd3c34, 0x38e342a8, 0x6a05ca48, 0x9f201e6b, 0x7104dca4, 0x94d83eac, 0x6d5c0e27, 0xc5298bbe,
+    0x6cbe725f, 0x644b16bd, 0x155ea2f5, 0xedcad3c2, 0x058dfb45, 0x2db275f8, 0x77123760, 0x41b3ec07,
+    0x5c3c8631, 0xb10e0a11, 0x0e682982, 0xe27a63fb, 0xd296db78, 0x73762952, 0x36cdfd6b, 0x1ea6a2f2,
+    0x8c904445, 0x369baf7f, 0xba8900a7, 0x0a26a33f, 0x17fc9df4, 0xa419d519, 0xce34fcd5, 0xe8c0f331,
+    0xf18f038c, 0x4df428ea, 0xcb84d4d7, 0x79350ff6, 0xb5cb437f, 0x65c101a5, 0x6800b4f5, 0x5924b457,
+    0x74245676, 0xfa352fce, 0x6d2d8e08, 0xe12fde87, 0x6069e476, 0xbc54584b, 0x889ea578, 0x07ca8a77,
+    0x2d1db3d6, 0x40b8878a, 0xfbe215ae, 0x288d1c18, 0xf0045e6d, 0x9d519f6d, 0xf4fa57ef, 0x8799a7c3,
+    0x7b1ea32d, 0x51e97184, 0xcf167911, 0x80c2f080, 0xaba94c1f, 0x662cfbce, 0xebcdee7b, 0x4881cae5,
+    0x560d0fcf, 0x489be714, 0x3a2e57b5, 0x7952ce95, 0x3c8d395d, 0xe3df5113, 0xfca01fab, 0xb46819b4,
+    0x38378a21, 0x0c67c6b5, 0x12e635a6, 0x98b3b695, 0xc7db5274, 0xe83615b8, 0x38c4cd52, 0xa007f5f5,
+    0x4544d530, 0x5a50e117, 0xd9ac9999, 0xafe2780c, 0xef3f4393, 0x700589e3, 0x19178fd7, 0xb252d91b,
+    0x432a00b5, 0x9542327f, 0x15e1efc1, 0x62093111, 0x46e44981, 0x1095a868, 0x1adc98bc, 0x287ea4de,
+    0x8e278d66, 0xdb017d13, 0xfa11c738, 0xb3231304, 0xafa07859, 0xbc6481cc, 0xf3c4a0f7, 0x888f39c6,
+    0x598cebb9, 0x67e0dcc0, 0x87d19efe, 0x5d09d0d5, 0xbe402bb1, 0x6857f309, 0x0291f096, 0x0d933009,
+    0xb75ec947, 0xf586224e, 0x52f0c7bd, 0x29b5855e, 0x4f00a77b, 0x483c76b5, 0xb390dd36, 0x8214dfb6,
+    0xd476b581, 0x9286f39f, 0xe56d9adc, 0x63746ca3, 0xcff71a94, 0x3855f84e, 0x9942e18f, 0x84d7ee79,
+    0xa3e64ff0, 0xd0158369, 0x755f5cbb, 0xea4b61cb, 0x39f591cf, 0x24638f5a, 0xa8ae75cc, 0x1e5a9658,
+    0x082d7455, 0x810575ca, 0xe3f874a0, 0x54ffd4ac, 0x620f5e0c, 0xd820d8a7, 0xe77ddbf6, 0xc7c47685,
+    0x307e7f10, 0x6dc76517, 0x88e40081, 0x36eff32d, 0xd7be28da, 0x9b51b15e, 0x089394eb, 0x1cf922d8,
+    0x97a00765, 0x7ef75d53, 0x015c4c3f, 0xf24e6405, 0x539adebf, 0xba65f02e, 0x4f6be865, 0x6e0e9bbf,
+    0xa87578d9, 0x16e30b1f, 0x79f4c774, 0xa9eceb0a, 0xee53eb3a, 0x6b8045da, 0x5acfd160, 0xbaec9bc9,
+    0x2945f096, 0xb3c18140, 0xd93cd27d, 0xc787348d, 0x0fd80e20, 0x37c46178, 0xd485f0ad, 0xf7ac90ce,
+    0xc19bed13, 0xea06e695, 0xb602cae0, 0x5332c658, 0x5c6f0024, 0x16015b91, 0xf7fce29e, 0x48017b3b,
+    0xb1643af4, 0x5614754d, 0x94c71fe1, 0x3dd7ac78, 0xc95a7eba, 0xe17b9837, 0x8b467546, 0x6b7ba812,
+    0x548c403e, 0x9ff7e6fb, 0x162a9af7, 0xfe459ffc, 0xe2392a1f, 0x0b45a9fe, 0x3244d47e, 0xf0fa3c7f,
+    0x70e843ae, 0x682f9dd3, 0x38715fc8, 0x10f56022, 0x13c177c2, 0xb27b6622, 0xb18776ec, 0xce6c4296,
+    0xafd9eec8, 0x659af427, 0x094d9821, 0x0a77c666, 0xc63f9d0b, 0x65416f31, 0xd377154d, 0x596edff0,
+    0x63bf9b90, 0x324d9750, 0xc0654d0f, 0x51f4a795, 0x03377b6c, 0xec3a2992, 0xb4627c20, 0xc91848fa,
+    0x57418a27, 0x4838486b, 0x5f759db7, 0x16c068cd, 0x86eeda51, 0x821c329c, 0x19d7eadf, 0x2bdb603c,
+    0x89cb3efd, 0x82ffd4f7, 0x55e7c397, 0x2a46ed23, 0x37839f5f, 0xf50f3473, 0xe9535666, 0x13fe6334,
+    0x935eb586, 0xaa675af8, 0x740366ef, 0xcfa2410e, 0x11be828f, 0xde5c6c6a, 0x643fade1, 0x8faa6a21,
+    0x605a256b, 0x6fcac850, 0x1dad2f3e, 0x68e5689b, 0xec0d0cfa, 0xd6c6854e, 0xadaff4fd, 0x79a50c31,
+    0xd2b6755b, 0x793c2e84, 0x172cc14c, 0x831e9f1c, 0x19d092a2, 0x6128e815, 0xb1ec77de, 0x554cc800,
+    0xee55aaad, 0xe818f68d, 0xf5d553e5, 0xc5775e76, 0x90c24644, 0x2229474e, 0xadb2cc8a, 0xb202da70,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000095780971304118053647396689196894323976171195136475136 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d8, 0xabfc6f66,
+    0x00000000,
+    0xa3979b14, 0x533da8ac, 0x28dc9482, 0x036e752c, 0x07087e5c, 0x73cef2cc, 0x2efe9fba, 0x70c24bbc,
+    0x86dae9aa, 0x5ac29a3c, 0x8c81e7f4, 0xdf8f512f, 0xa3525f28, 0xaf927c64, 0x9827b99c, 0x4e9d1dfe,
+    0xf83f5a2f, 0xeff6fc94, 0x4b0a455a, 0x16100e2e, 0xc1e13a49, 0x4c6da5f4, 0x2f5294a0, 0xef9f81f4,
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+    0x8d21ea4c, 0x21c556cc, 0x56664019, 0xa110b228, 0xc58c05a0, 0xc6b7cf43, 0x1a434933, 0x8c7bfa13,
+    0xa2a6ce4a, 0x7d595d90, 0xa80bc948, 0x48188171, 0xfc53f69a, 0x34b50d64, 0x997a0d76, 0x99c32c57,
+    0x564ceb31, 0x6c84a5d1, 0x604c6e9c, 0x472c7321, 0xc405b070, 0xa9c276b3, 0x40c55f5d, 0xd2e79c19,
+    0xec98f50f, 0x58203caa, 0xde40cca1, 0x9ac97d4a, 0x39311c08, 0x15cbe44e, 0x5919c723, 0xd6b48e01,
+    0xa635053a, 0x0ca0cb23, 0xeff66a1a, 0x3c595064, 0xae5018da, 0xee868717, 0xc7d60f3d, 0x17e08006,
+    0x6965bbe5, 0x8a1a4135, 0xd2e5049f, 0x726fb6e2, 0xbb4aa633, 0xf34f6bb6, 0x861b7f4f, 0xa45e1aef,
+    0x05b2ef61, 0xb0f41f6b, 0x6a828eb0, 0x29c93fee, 0x41ef0321, 0x4874dacb, 0x16dc296b, 0xd3412e11,
+    0x4ffd1f79, 0x62cd316c, 0xd9144ffd, 0xcc9865de, 0xf2940aa9, 0x2121d716, 0xfb1ba375, 0x4e3915c0,
+    0x6c1395ff, 0xa47144b5, 0x42cc9ca3, 0x6a99e2dc, 0xe51386bf, 0x669728b8, 0x38c11ae4, 0xe2cc20e9,
+    0xe46c0dee, 0x9e3090e6, 0xcffa28ce, 0xa995c549, 0x78bcdc9b, 0x74a9629d, 0x0a570f12, 0x36b377a3,
+    0x72b031de, 0xb65855c4, 0x11bbce52, 0xab186e38, 0x496b9318, 0x50af3ab5, 0x3fa84c72, 0x60744720,
+    0xdd302608, 0xe762eec1, 0x46bf177a, 0x04fed518, 0x49ebce09, 0x47eb951a, 0x3fb23978, 0xbfa8d1b1,
+    0x2c0c2d7d, 0x21fae801, 0x3cbf32ad, 0x8a99d939, 0x286b2f46, 0xe162e9e9, 0x8c3a3f7a, 0x41529903,
+    0x43c854b1, 0xdd8b6952, 0x2071808c, 0x266fcee2, 0x3348566a, 0xd7eaa20c, 0x737090a9, 0xf8305b11,
+    0x7255f08b, 0xb5e86109, 0x1b44d776, 0x732c8ff1, 0xf25bfe7c, 0xd408a224, 0xe0430d02, 0xff84eadf,
+    0x377d5a2c, 0x141a3e9b, 0x65c6bcc0, 0xd2fa698c, 0xa8887167, 0x14817887, 0xd2dc393b, 0x20f67f49,
+    0x3a527ade, 0x2dce788f, 0xb0007016, 0x8670f819, 0x97982872, 0x68eaa2aa, 0xb700a881, 0xe22240fe,
+    0x081bf655, 0xf7a3ed5b, 0xc2c569fb, 0xdb6c606d, 0x1e7a81d4, 0xefa4904d, 0x4a3de5f0, 0x607746dc,
+    0xdf43f521, 0x763842e5, 0xcdd42f22, 0x7de2dd98, 0xd8d157c8, 0x5c423a55, 0x7142537c, 0x7dc4b431,
+    0xf493740c, 0xd1ce60b4, 0x69e1e524, 0xe8769efb, 0x736a323e, 0x7292364e, 0x2a391de4, 0x66a5c1c0,
+    0xfd592914, 0x5f7e2ab2, 0x1fdb5d3c, 0x079ecd47, 0xc96d2baa, 0xec6e60c9, 0x2a53a5c1, 0xe627e2df,
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+    0xde08f0c1, 0x9793a95c, 0x011bb624, 0xe91447ee, 0x6afbb70d, 0xf9b32ced, 0x3442e3ed, 0x317c41d5,
+    0x4bef068a, 0x86b37f5d, 0x2e290fcf, 0xd72cb60e, 0xb5941b2c, 0x98d0865f, 0x541c067f, 0x1c1af394,
+    0xd0ef1af6, 0x1203994e, 0xeec0b69e, 0x5b1c4b2a, 0x7fbdd35d, 0x591fa69d, 0x9cfb2de3, 0x12368bb8,
+    0x6ec32952, 0x5e3af17f, 0x66127b7a, 0x9e0fda0c, 0xbe5c61c5, 0xef3bab0c, 0x7902f912, 0x61454a02,
+    0xe7fce015, 0x7a8ffd1b, 0xcf7e2238, 0x1c305890, 0x6f02bd67, 0xdf53c173, 0x1a2166c8, 0x6d7fa4c9,
+    0xb2677d22, 0x1a8380eb, 0xfac2dac1, 0x8235b4b0, 0x5efebc00, 0xef33bfb4, 0x802149a7, 0x67fd753c,
+    0x16ecb90a, 0x4686345a, 0x0ab4923d, 0xaa8bcf62, 0xa5051c36, 0xe7306e03, 0xc324804e, 0xc3e5df49,
+    0x0ee325fc, 0x8a6df797, 0xf5d6bd9d, 0x4c359056, 0x45acabe9, 0x7ca93651, 0xb8441c3f, 0xf2198cde,
+    0xa8ade6b8, 0xf496702e, 0x616066b4, 0xceb52728, 0x9b844d5e, 0xf2526242, 0xa7228200, 0x552c1cb0,
+    0xdb008430, 0xf6c832cb, 0x66fd678a, 0xef95fe1a, 0xcf329c4d, 0x5f63582a, 0x26cbc768, 0x022241f9,
+    0xa55e511d, 0xe4ebcee2, 0x293a5720, 0x8ba2b06c, 0x43ba4b63, 0x0b6d6420, 0xe68b401b, 0x23ab544c,
+    0xe3e1d861, 0x8bd5b87e, 0x638bd07b, 0x794c40fa, 0x8a8dbc6c, 0x2d680e63, 0xdc3c2ed7, 0xa8c480c6,
+    0x487c1f99, 0x3df94cc5, 0x3f5dab97, 0x9bb7e7d5, 0x7e73ea05, 0xf8e51c40, 0xdb22b4d4, 0x9f72f50b,
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+    0x32882cf5, 0xc748a9ad, 0xf48a3c23, 0x7506a332, 0x260eca36, 0x1cd734fd, 0xe52b5db3, 0x33098b4a,
+    0x18d6b225, 0x8a4254c8, 0x4fbfc34c, 0x7b3604f4, 0x63ceb02a, 0x76643b70, 0xcc3f1a67, 0x8b6bb8f0,
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+    0x1d5816c4, 0xe7cac186, 0x799003d9, 0x8f53e889, 0xef58714b, 0xd658e74d, 0x90aa2c11, 0x1bfd8749,
+    0xd4215b60, 0x4739d754, 0x912e0e44, 0xe0221993, 0xd486ba7e, 0x89c36034, 0x55a67fb1, 0x1c6ddfb5,
+    0x82082c2b, 0x0e04ce51, 0x6a76312d, 0xb87c08f9, 0xdf544998, 0x84f9115a, 0x71c1f278, 0x8b7792cf,
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+    0xa8f2ffba, 0xe7786b9a, 0x92cdfd6e, 0x41ee6c60, 0x62776b57, 0xd9207efb, 0xd57e83f0, 0x24132d9a,
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+    0xca91a5d4, 0xb8a1d172, 0x92854a2a, 0xc243db40, 0x3e5c43e0, 0x6d3b7ed9, 0xb733b1ff, 0xb92de070,
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+    0x2de905f2, 0x800de8fb, 0x27797622, 0x95ee10fc, 0xf67bd559, 0x234653cf, 0x62be7b7f, 0x5186f16b,
+    0x14738c01, 0x21e08591, 0x1f24b50e, 0xce944ec5, 0x41cfef68, 0xe7c3d208, 0x2f50ffb2, 0x04b1b3d0,
+    0x4cd6d59b, 0xd320c224, 0x112e2385, 0x355e26f0, 0xa0b3b009, 0x9f4768a9, 0x01fc5cc2, 0x3c2a6545,
+    0x3c520239, 0xef0c394e, 0xabb74f67, 0x8442f29d, 0x0f5bc853, 0x46ca2556, 0x2c135a45, 0x3784d454,
+    0x6e359501, 0x89e9c928, 0x55d33e31, 0x922be087, 0x21f22494, 0xa7695f6b, 0x2934d996, 0x249c5620,
+    0x2d9a0a50, 0xc8cce1e0, 0xbfa6319d, 0x4cc49948, 0xcb265a97, 0x02fad7ea, 0x7f4e1789, 0x8c33b526,
+    0x40192415, 0xf4ee7689, 0x659b764a, 0x47ab200a, 0x3790581b, 0x91a04dfb, 0xdefddc6c, 0xd5aefe55,
+    0xba3b9e25, 0x0fd2a9fd, 0xcc3bf769, 0x454fc84c, 0xe079aa71, 0x245ecfff, 0x739a42cc, 0xeab6fdae,
+    0x78b40ed9, 0x43b1707a, 0xfb4889c5, 0xbcf87253, 0x8af49da0, 0x4cee2a62, 0x06e0b491, 0xcf6c56d7,
+    0x41f0a506, 0x16933e6a, 0xbaaa93ac, 0x30648df8, 0xdb60eacf, 0x540f46e1, 0x839371e2, 0xee675914,
+    0x08c6ecaa, 0xd9e44a59, 0x35474e5b, 0xf3c92670, 0x1cef0b27, 0xcccae872, 0x5a9f5ff4, 0x282cb037,
+    0x8ef4adc5, 0x94f33abb, 0x1747f931, 0x638fd771, 0x47642419, 0x38bca13c, 0x950f50b3, 0x6a9c337f,
+    0x8cc8fc5d, 0x48623d3c, 0xd2909712, 0x43eeb311, 0x9026a812, 0xc2bd7bb5, 0x8ef4ac7d, 0x46325c35,
+    0x53d1173f, 0xd2ec75e6, 0x3c584914, 0x02a38e8c, 0xe5f99d7e, 0xaf5de563, 0x19f9869d, 0x19e7b00f,
+    0x09463994, 0xb8838544, 0x3f7c0e7e, 0x3d86abaa, 0x18a5cbd8, 0xb054a81c, 0x2a15d36c, 0xbb0c4a9c,
+    0x88a1209a, 0x6ae68a1b, 0x6f90f48f, 0xff49c18d, 0x3a485ea6, 0x552a1d68, 0xa3af674e, 0x934e12b4,
+    0xa904f0dd, 0xa60a43a4, 0x20f433fd, 0x0b2e93ca, 0x389b0728, 0x8723ed07, 0x696fb7e7, 0xd03aab2f,
+    0xf3728560, 0x9695579d, 0xc20860ea, 0xa7ff4d8c, 0x734d41f8, 0x5dc734d1, 0xd82b9956, 0xb538b983,
+    0x5e34fe54, 0xbf6a6b22, 0xb365cf54, 0x7119ab71, 0xa2c17ea8, 0x584c6d3d, 0x877d2ceb, 0x034e042b,
+    0xf2bde423, 0x5cd2408c, 0x3a94c9d9, 0x342212b3, 0x2aa15c54, 0x9dd29b11, 0x3db99ed2, 0xfee63a69,
+    0x6d0d4004, 0x4e59883d, 0x46057e24, 0x50fe8679, 0x8ce3825a, 0x68153636, 0x21c47b11, 0x712c23e7,
+    0xf32b799d, 0xcc5a4243, 0xb08b67e1, 0xb2b4663a, 0xac686cf2, 0xc2204754, 0xe5800e91, 0xfc5a613a,
+    0xeee21785, 0x0cb21770, 0x738e15b2, 0x28ef3246, 0x8192fd6d, 0x14d89165, 0xd6fce0d6, 0xce9a1b47,
+    0x1290dc40, 0xcbcd841f, 0x98b8affc, 0x571ee558, 0x6775e76a, 0xedaa5ce5, 0x485e16d8, 0x14031859,
+    0x2feb0b6a, 0x0744141d, 0x84bc3925, 0x943b4810, 0xde1dafad, 0x63badf20, 0xbebe654c, 0x9c344ed9,
+    0x8ace192b, 0xecdd8050, 0x92050325, 0x3812ff97, 0x709a9b80, 0x4786f100, 0x956c8986, 0x135e9cf9,
+    0x0c356810, 0x22fccabc, 0xef4df1ea, 0x3cee3363, 0xe2eb52a9, 0x32ca8259, 0x8264b0f3, 0x7efc1ce1,
+    0xacd2ee71, 0x65675132, 0x80beacdb, 0x13843e70, 0xdcb23f98, 0x364855f4, 0x98f13b91, 0xd7b3910a,
+    0x43d6262d, 0xde4b7941, 0x8bc927fb, 0x0e3a1df5, 0x1744e6c7, 0xc60b8bf7, 0xad331662, 0xb9e628c6,
+    0xf38e0cba, 0x1d577325, 0xacc97a59, 0x54a5a10a, 0xae2f44d5, 0x2d760c85, 0xdbd7811c, 0xa613b486,
+    0x7da3e5c1, 0x4e740ec0, 0xd7eb99e8, 0xcfd832f4, 0xed852a31, 0x4fd4c323, 0x1f9098e4, 0x09f05f46,
+    0xb510a301, 0x0ab5c81c, 0x1fccf5d3, 0x016fa5b0, 0x97ffc29b, 0xb1ba9db8, 0xbec0fb3c, 0x5c41f092,
+    0xb79b4856, 0xaec31ad4, 0x23b39aaa, 0xd31cf08b, 0x3120f1a5, 0x8eb3bcbd, 0x7cca80b7, 0xd5fd5904,
+    0x0cee2aba, 0x207cc308, 0x8b68f767, 0x55dd691c, 0x687bce74, 0xb7ea2cc9, 0x3cef3abe, 0x55c405f0,
+    0x5597788f, 0x2d20b9de, 0x524c49a2, 0x62a0db85, 0x0b18f8d3, 0x177b9a27, 0x504e3fc6, 0x49e186ed,
+    0x1f14ce3d, 0x007af553, 0x97f18c85, 0x5e09b051, 0xd10008fd, 0xc477bcd6, 0x063eb8e6, 0x4a8e7bb8,
+    0xb9966eef, 0x1a93a949, 0xd28cccb0, 0x7455c6d7, 0xde408e74, 0x05d5422e, 0xd4a6f92c, 0x6e278ac2,
+    0x18c78b59, 0x271c3787, 0x031bbd31, 0xc3325a2f, 0x7bfd1b15, 0x6bfdbb61, 0x45238057, 0xd0a9624b,
+    0x8b2e450d, 0x0e193d9c, 0xf6246194, 0xa3591215, 0xa1aa901b, 0xb7093d94, 0x07a4f11e, 0x15c239bc,
+    0xa54c95d5, 0xe1e1952e, 0x560cba2c, 0x32cd821f, 0x1e43c7c5, 0xcfbb2ae6, 0x1781cf3a, 0x338d3037,
+    0x178cc1d1, 0x61f0aa2d, 0xc7a8e4bf, 0x8e5c0f71, 0x289ddec5, 0x953c0d90, 0x11b9c189, 0x71cc113e,
+    0x07aa855f, 0xc267e6c7, 0xaf715720, 0x032b8444, 0xbd311b61, 0x03023c2e, 0xb516409e, 0xeffd69c2,
+    0x4b9f766c, 0x7b95bf57, 0xfa5cdc1e, 0x42788978, 0xf9bffdac, 0xcfd0286f, 0x2ffcbb31, 0xe99b2ca4,
+    0xb21a5b0d, 0x914b7e7a, 0x4d87b29e, 0xef521698, 0x9a3e4b8d, 0x491a94e2, 0xe9361063, 0x195daf10,
+    0xb9d8a674, 0x65ef0dd4, 0x2102d513, 0x56a49590, 0x49d4390b, 0xa879bed9, 0x515ca88c, 0xe07e6f9b,
+    0x6723c834, 0xa2300592, 0xd4698907, 0x33a6927a, 0x8956513c, 0xe0e61c7e, 0x56eb7dbb, 0xdbbe1dc5,
+    0xb70d205e, 0x4871d21f, 0x28a2b459, 0xee6cfecf, 0xa5279ed4, 0xcdabc79c, 0xdd1e82e2, 0x0a8d1afe,
+    0x9ec054d8, 0xc336094a, 0xb4695e45, 0xa620282b, 0x49e7a8e4, 0x64d8677c, 0x61980059, 0x86657781,
+    0xe41a6fd7, 0xc2510ea0, 0x05256a6b, 0x70038433, 0xd571a920, 0x41181ab3, 0xc534a429, 0x6180a346,
+    0x328465a1, 0x3cfc1bda, 0x96495f95, 0x6d6e350c, 0x8d0120f3, 0xb2f9ded1, 0x0c8f8825, 0x588dc89c,
+    0xa976f74a, 0x8fa14187, 0x73787845, 0x1ea893e3, 0xdf5b63c0, 0x703251d0, 0xa171c791, 0xb50805e9,
+    0x75f4e1f5, 0x2865dbf3, 0x6e79f074, 0x0b295e0b, 0xc05c8e75, 0x0ae79794, 0x2be7851a, 0x813ea49b,
+    0x40237499, 0x6581ea16, 0x088d2a3c, 0xd43c4918, 0xe85bc42a, 0x7ad04bb7, 0x3428d25d, 0xe0a7bcd5,
+    0x9b95418c, 0x07b5e0fc, 0x540ee041, 0xfb4e37bd, 0x6e130998, 0x611b6f97, 0x8aea1726, 0x400d8412,
+    0x2e0ad697, 0x36926efb, 0xd1b8769f, 0x3386dba7, 0x439fca3e, 0xe72e55ab, 0x91e9ef07, 0x028c0d23,
+    0xe3a552bd, 0x6003ef31, 0x9ffe200f, 0x96a84d8c, 0x8d6bfb87, 0xc37a806f, 0xcfe749d4, 0xe66f93ab,
+    0x62ac5bc1, 0x9707349d, 0x63824555, 0x8664a494, 0xbc0f5f7d, 0x8fc31257, 0x1d67ddbc, 0x9e0ce6e7,
+    0xfb4efeea, 0xec420c9a, 0x394fb081, 0x981c237f, 0x1dd89ed1, 0x41089dda, 0x87ecc83f, 0x0a34d15d,
+    0x219441b0, 0x184011e0, 0xb3bb8c85, 0x1c82cffe, 0xb1ebbda4, 0x9d495308, 0xae8c5c4a, 0x3c22e099,
+    0xc6943331, 0xb1272ced, 0x4e7c0ae7, 0x4b5c5efc, 0x68a45293, 0xc8d72a93, 0x66be2826, 0x06bc2570,
+    0x8dcaf80d, 0x15fa48ec, 0x19b23283, 0x7b2cc372, 0x412eff66, 0x342371a2, 0x46b787de, 0x73488d33,
+    0x800ee061, 0x9fe449b2, 0x9b130ce1, 0xb964338f, 0xccf51a59, 0x9505a088, 0x36431a6e, 0x9c164157,
+    0xeb170b9a, 0xd6dce5f3, 0x8cc8b369, 0x466a080b, 0x02b2cf19, 0xa2b2cf37, 0xd849379a, 0x18b11f98,
+    0xfcc3e003, 0x1ba43a5d, 0x1f74837c, 0x4d254855, 0x709b088f, 0x1d36e2ba, 0x18a300a1, 0x332730c3,
+    0x59d96732, 0x45997c6b, 0x63bafe23, 0x322c7d6b, 0x38f52a08, 0xa2606b37, 0x841095fd, 0xc8bc7efa,
+    0x02368a8c, 0xfb6fccd9, 0x39b79cee, 0x790fc7e2, 0x7e449477, 0x14a0fccf, 0xba3e1be8, 0x9d399ca3,
+    0x5a6e46ee, 0xfc44ffba, 0x7a5e29dd, 0xcf46e377, 0x5b0e5093, 0x93671662, 0xfdc2e495, 0xba950522,
+    0x01b106f2, 0xa70bb990, 0x5794430d, 0x47cbb158, 0xe8aeb920, 0x3a8764cd, 0x883c9294, 0xd0f7cb4c,
+    0xa632e531, 0x1d4ad41e, 0x718dea19, 0xd68976bd, 0xe0d16a0c, 0x78add8f5, 0x50fcd897, 0x7ad62079,
+    0xb92fb345, 0x8abe9acf, 0x85f5d2e4, 0x79075aa9, 0xe6d14340, 0xdd8c7866, 0x523043cb, 0x9caa51b0,
+    0x6bcd6b2d, 0x0156b65c, 0x3a4e4d09, 0x7a622726, 0xacfe2c8c, 0xf6ba21b4, 0xa4154683, 0x0b75d0ca,
+    0x3c80b129, 0xbf41bbce, 0x18e69282, 0xe312d16e, 0xfa36594e, 0x61ff8ae6, 0xdc4983ec, 0xcd3c6f91,
+    0xa4a05ed2, 0x4ffb6c8f, 0x2ba87540, 0xbaa0ab6e, 0xedde330d, 0xe283a477, 0x320145d4, 0x805e64a0,
+    0x0d729c78, 0x791ebe6c, 0xda777966, 0x3f1a5e27, 0x08308a96, 0xe74fb650, 0xb034fa7c, 0xb9a41bcf,
+    0xe7bac0f9, 0xfc931a42, 0x5ab440c5, 0x103a4626, 0xb004e9c9, 0xeb00a56b, 0x723c9e53, 0xdaa2e59f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000047890485652059026823698344598447161988085597568237568 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96c, 0x55fe37b2,
+    0x00000000,
+    0xcca5237b, 0xf64ab194, 0x38ca64c0, 0x22f36acd, 0x3f78cffc, 0x2a9209c2, 0xcfa9d800, 0x212f61bc,
+    0x8023c583, 0xb2206185, 0x079e3519, 0x6298c672, 0xa8764fba, 0x2288ec86, 0x9212380d, 0xd62a5b62,
+    0xc40ffbdb, 0x0ee2cde4, 0x18ce09a6, 0xa27fe194, 0x53eea6a1, 0x52d0483f, 0x370922ee, 0x64652628,
+    0x6abbeafd, 0x0f44546b, 0x973533bf, 0x0094dfd9, 0x402984e0, 0x7d942c75, 0xc46665c2, 0xc2afc0a5,
+    0x85dd3ed9, 0x78c5e6df, 0x647fc7e6, 0xced8a18e, 0x1f161cfb, 0x54b72e47, 0x6ad0b951, 0xe08922f4,
+    0x78d001ce, 0x3cc26ac9, 0x63664eea, 0xed9f47ed, 0x2b20aeb0, 0x5b3cb327, 0x9a5bf4f2, 0xc3eebc88,
+    0x8701d8b3, 0x91252865, 0x131d81f1, 0xb5e9e36c, 0x26bda529, 0x2265f804, 0xbc31ae1f, 0xb07b0c6c,
+    0x3f394d3e, 0xc78bc2cc, 0xbf4ff35e, 0xc36b7111, 0x88ea2bb2, 0xd206bccb, 0x8a5e31eb, 0x2c64ddf9,
+    0x06e0827a, 0x63992210, 0xc8ffd781, 0x93a1a0a4, 0x09eeb0eb, 0x9d328acf, 0xa01503c1, 0xeb9b3f8c,
+    0xaddfd733, 0xffd45ff7, 0x89f28776, 0xa96a9dae, 0x1dc14ef9, 0x2047bc0b, 0x68993f3d, 0xdc1b1df9,
+    0xd28ab87a, 0x5e7c97fe, 0x9c5d80a4, 0xa7551008, 0x47879d44, 0xf8c4f0f7, 0xd15d78b4, 0x72179171,
+    0xba4f3026, 0x90fd58dd, 0x0230fa79, 0x67883273, 0xedbad342, 0x55b5d935, 0x09deaffc, 0x57e00c0b,
+    0x0ab2b964, 0x806c8b04, 0x5dff4772, 0x05f62be3, 0x06168908, 0xe6eb13b7, 0x00c1709d, 0x495a2d01,
+    0x74a084ba, 0x716d4d2f, 0x1d7a0153, 0x3efb9427, 0xbb048a87, 0x9a2f1323, 0x7b0174fa, 0xdeaefe34,
+    0x326c402e, 0xc233ec55, 0x8693a91a, 0x1e69fb07, 0x1338d1da, 0x268ac3b2, 0x76161f42, 0x7ae9fe6e,
+    0xea1b1288, 0x3130a27e, 0x9c82a4f5, 0x178a7c7b, 0x873a78a1, 0x7a6a156b, 0xafb60272, 0x86f95c8b,
+    0x805eefa4, 0x423ec026, 0x91b84e18, 0x9f2d44b6, 0x67c46e00, 0xc7d94cff, 0x74c80468, 0x9bd22eae,
+    0x03c1567a, 0x2c926304, 0x55d73625, 0xab8fc207, 0x652ef5d2, 0x7e22991f, 0x2aa7fe0a, 0x008887e3,
+    0x4f724eb2, 0xc38b22b5, 0x1410f383, 0x09efec96, 0x06c1922c, 0xf01751ef, 0xc5d74b26, 0xac191708,
+    0x466e7d86, 0x64596e16, 0x9df1e275, 0x98dc46dd, 0x766f6747, 0x5aba6564, 0x5fc126cb, 0x7dd8c0d8,
+    0x45205f7f, 0x859dfdce, 0x6b7cf56c, 0xe5a63960, 0x73179500, 0xbbf6e681, 0xff1668c6, 0x25fe6eb5,
+    0x2933ef89, 0xd29a7417, 0x83716b65, 0x7448f2b9, 0x4f8096f4, 0x0b0b489a, 0x28eb3e5b, 0x7bbe4e1d,
+    0x4e97f387, 0x0da30618, 0x1d2d109d, 0xa46a857f, 0xc797204b, 0xc0a03087, 0xcee66ff4, 0x30d95837,
+    0x06abc189, 0x4b69acc4, 0x98172f66, 0x7509cd80, 0xec6f5ca3, 0x59ffdbef, 0xd555872b, 0x669f4196,
+    0xd1fbc18f, 0xf9fd4859, 0x5865deb5, 0x7bf71709, 0x93f48ed1, 0x14103dd3, 0x7870178f, 0x1e314ede,
+    0xf96430cf, 0x3b923db5, 0x424d6756, 0x41f160ee, 0xe70f041c, 0x09ae94aa, 0x3be8429e, 0x862d7df8,
+    0x3f87339e, 0x5de6b153, 0xf8e6031c, 0xaf99f0eb, 0xf1d4a696, 0x1ae394bb, 0x978fc65b, 0xeff06650,
+    0xbe7b7352, 0x98be9b19, 0x1d8784cb, 0xe2c9b725, 0xb2fc16cc, 0xe7ef9b7c, 0x7ed2463c, 0xb2ff9956,
+    0x16b0db89, 0xa2122144, 0x3f0a1037, 0xf34ff0fd, 0x8e9e6d64, 0x25e55c40, 0xf6fa7943, 0x693c8176,
+    0x73b65c29, 0xdaf990dd, 0x93ad78aa, 0xbfa97473, 0x7167f99f, 0x434e4583, 0x522cea85, 0x2f14a9e8,
+    0x4b61e3ee, 0xe119b77e, 0x7445ba31, 0x9b9e3720, 0x25fb4743, 0x65eccb2e, 0x48683b50, 0xb1feb7c9,
+    0xb3f03d7c, 0xf7bc0d03, 0x67cb39d1, 0xf694d8d5, 0x133fd40e, 0xb78f30bf, 0xb81c357d, 0xe0c83a98,
+    0x83ea04fb, 0x373eb468, 0x3851aef9, 0x5851c347, 0xd41befcb, 0x28980eda, 0xc5c8f343, 0x5d3754b6,
+    0x8c59000d, 0x51cf3bd9, 0x744e3084, 0xa37b03c0, 0xf6f81344, 0x45697e5c, 0x41858df0, 0xc939bc8b,
+    0x1ee1f4ad, 0xe173fc87, 0xe4f45f0d, 0x07501daa, 0xc91fa038, 0xb3f54ce3, 0xe710c907, 0x26ed51db,
+    0xf6144d48, 0x1f7ad194, 0x3cb365ce, 0x4d35d7c6, 0x53bb2221, 0xa69b4990, 0xf699165d, 0x4025b4f3,
+    0xa5e30baa, 0x41c48a6f, 0xf82949d0, 0x0a66fb43, 0x609a1578, 0xbf148222, 0x61f11bae, 0x6b7ea205,
+    0x717828bd, 0x9194e04a, 0x69a939d2, 0x60bcf6b0, 0x91efcc05, 0x29bffe92, 0x3ea0dfca, 0x526cd378,
+    0x80b7c141, 0xc2850b93, 0x7a4c0774, 0x2f4a287d, 0x6649ca0a, 0xb3cde5c3, 0x7df282c8, 0x47bea95e,
+    0xac26b502, 0x7463655e, 0x8b5546c1, 0xe34780cb, 0xd6dbeed6, 0x63d3de55, 0xc41050d5, 0xe8c67f92,
+    0x66e1859f, 0x69fb62d0, 0x6a21212b, 0x6efd19f5, 0xc96835a9, 0xda4b1aa4, 0xe05c4b69, 0x5e32ecdf,
+    0x531e65ce, 0x0ba52f5f, 0x563b58ef, 0x733330d5, 0x4eff2ddd, 0x12155db5, 0x3429b12c, 0x4f26d089,
+    0x27531625, 0xd8af63a3, 0x85ac5935, 0xf5e0b73e, 0x8c66a595, 0x4dc1279e, 0x83b0a955, 0xd594822e,
+    0x676cb9b7, 0xd73d8cf5, 0x22489b56, 0xace8e4e3, 0x1258a925, 0xaabe10dd, 0x33453695, 0x7b009c12,
+    0x1b469cd9, 0x547a2917, 0xb2568575, 0x1fdba1be, 0xda9a5794, 0x7946be8c, 0x742a26ce, 0x11823113,
+    0x9a082d25, 0x0ead856a, 0x5d65a46f, 0x4b78a43e, 0xb4615f22, 0xf9f7a9f0, 0x8aebdca0, 0x44005b9d,
+    0x4118b82c, 0x173f8ef6, 0x4b9eaf2e, 0x089e1f08, 0x64a5d7cc, 0x07e3c09d, 0x7cd287ab, 0x5f237579,
+    0xcb8b8974, 0x89492661, 0xf499410a, 0x5e531be4, 0xb20867a0, 0x6fb35989, 0xe223666d, 0x38caf731,
+    0xcb09a2e0, 0x386a1560, 0xbe1ba3bb, 0xe8e8d35f, 0x8e58f7b5, 0xa251b44c, 0x0adfce85, 0xed2e120b,
+    0xc7a9ceb2, 0xf68ceb28, 0x3a627fea, 0x19f2b5b6, 0x2ba44774, 0xdde3ce0a, 0x0296714d, 0xc702eda0,
+    0x2f019555, 0x30e84065, 0x39910aac, 0xb869e87f, 0x9dec3fd1, 0x2edea261, 0xb9b1b1a2, 0xc2650b3b,
+    0x6173da19, 0x403a79f1, 0xa5125d71, 0x0b93173b, 0x4d8f041f, 0x646743b9, 0xcd41d674, 0xe2aca6c3,
+    0xba34e8c6, 0x4bba1661, 0x75c55636, 0xf0464f3f, 0x4bf50043, 0xa4834179, 0x870d6c52, 0x7b407036,
+    0x4de186ac, 0xd9655aa3, 0x9a262777, 0x6436bb99, 0x577cb352, 0xc92406f4, 0xa80cc324, 0x78e34c80,
+    0xe91c8b5c, 0x3c6073ed, 0xbcb544d1, 0x0cc6310e, 0x6ae196d1, 0x244cb584, 0xe9c38664, 0x6911f144,
+    0xed5b87e5, 0xb8496f7d, 0x7548b8c6, 0x42bfe029, 0x20bf9dd1, 0xebd23ba0, 0xc7c614bd, 0x77ec9b55,
+    0x612c5f5b, 0x6b8a2987, 0x5f3ee983, 0x90737064, 0x5911717d, 0xe1e26cf0, 0x5d28a9c9, 0x0efdf452,
+    0x2abed31a, 0x82a19619, 0x99a06afb, 0x77d5d22d, 0x77576d4b, 0x4d4a846c, 0x745e8747, 0x6fe3671a,
+    0xa8617734, 0xc7b80afe, 0x9d29d8ee, 0xdfc1b8fe, 0xe95d80ed, 0xc7f1f95b, 0x0b9d831d, 0x630be05e,
+    0x32fa7993, 0xfbd37574, 0xec091189, 0xbefeb73a, 0x7b7d52ed, 0x7659648e, 0xf56ae2e6, 0xc6d7b08e,
+    0xb2af5625, 0xe40b9728, 0x06b0365c, 0x374139a0, 0x59a78be4, 0xa082149e, 0xa24d51af, 0x7965050f,
+    0x8ce9717e, 0xc0176a4a, 0x58cc5409, 0x11b268da, 0x5fe3af93, 0x9a1f2471, 0xe8f7db0c, 0x26c781a7,
+    0xbf4721bf, 0x39d597f1, 0xcd1ae67a, 0x2c7ab103, 0xb755de81, 0x8edb8127, 0x52719105, 0x9b6fb9a3,
+    0xc282a47a, 0xe216f9b8, 0x38152745, 0xd91df6c9, 0x64f76ef8, 0xdebe055e, 0x9802f861, 0x652b4cad,
+    0xbe6652a9, 0xcc809b89, 0xf5283d35, 0xab6d80be, 0xea780644, 0x2e8f88ee, 0x5cea3bcc, 0x8f3d1dc2,
+    0xb8d6cbfb, 0xccd6759b, 0xb5ed18d7, 0xee0096e9, 0x97e78039, 0xbfcd379d, 0xba6c754f, 0x0d0b720d,
+    0xd30692af, 0x995f84da, 0xdd3a79c4, 0xc7868046, 0xd57013e8, 0xfd88a193, 0x7ab436d5, 0x2d3ab55f,
+    0x44abcafc, 0x0abc2e97, 0xcb4ebd55, 0x7aabea4e, 0xe76b8a68, 0xfe80a0f4, 0xd332af0e, 0x5febeb7b,
+    0x410f9c82, 0xa79c978a, 0xb056f2c6, 0xc1592d4d, 0xd45b63ac, 0xc50bfb44, 0xface5847, 0xccc36447,
+    0x72d3a881, 0xad6e3770, 0x1ca6fde2, 0xa47230f8, 0x7e1a0a3e, 0x1212c5d8, 0x424aa7c8, 0xcce81ec9,
+    0x593cf84a, 0x03f92e80, 0x0e265550, 0xe8fed6d9, 0x90a0f357, 0x86477338, 0xd28e17eb, 0xff97bd15,
+    0x70c4968a, 0x74e0fa74, 0x779c1c49, 0x9025beff, 0x96d7692c, 0x4c590856, 0x81556a17, 0x16fcb8a5,
+    0x1d5a8231, 0xd3ad2f19, 0x2e6b96b4, 0x994e10db, 0x1c82855a, 0x935d072f, 0x31a0b936, 0xfe1daddd,
+    0x3ada1b1d, 0x58a78205, 0x5d11a945, 0x9be6d87b, 0x354946fe, 0x8be64901, 0x4515ca52, 0xfc15460e,
+    0xf03bc2b1, 0x920a5ca4, 0x3cfb7fa2, 0x910157ea, 0x804e326c, 0x7549ce9e, 0xb54a6ef6, 0xa8ecc8ed,
+    0x2330b2c2, 0x58da6b9b, 0x3333273b, 0xe8da740f, 0x53668e44, 0x4dbd190e, 0x4ca413eb, 0x3870fddb,
+    0x75810d82, 0xf519baa9, 0x8e843137, 0x65c07efa, 0x0f4166ec, 0x23228f67, 0x13aaa5f7, 0x7f33c9e7,
+    0xdbdef117, 0x2141c1a8, 0xc9f4973b, 0xccc4e3b2, 0x90ebb385, 0x9e89ab11, 0xbb8131de, 0x826ba9d6,
+    0x8ec46964, 0xb9455074, 0xb82ad50b, 0x6b1fba78, 0xb3b49c24, 0x5fd9aea7, 0x45163865, 0xe1b6b175,
+    0x47fa63e5, 0xff43cae2, 0xc05bbc9f, 0x885e13e4, 0x85f8db43, 0x30aa4eae, 0xace7b750, 0x6b38fe29,
+    0xe42ce6e1, 0x4ff7ad6f, 0x2b9fb601, 0xe1729a21, 0xaedfa794, 0x897c80f9, 0x5dee28fd, 0x141c0063,
+    0x863d1e43, 0xb2429619, 0xb49ab51a, 0xe286643d, 0x7a8f20d8, 0xafc4372b, 0xdf5ae42e, 0x8cd7c767,
+    0xdb0a0790, 0xffab010f, 0x3ae54493, 0xbef7e74a, 0x76f0914c, 0x1f14be32, 0x963d99d0, 0x65658df9,
+    0x4986f477, 0x4c8691c9, 0xc9f2b19e, 0x762a8dc3, 0x897599bc, 0xf35cf6f9, 0x530c4838, 0xb920f6bc,
+    0xb7505a13, 0xbdd7cc31, 0x3e2eb014, 0x1fe64699, 0x51aac631, 0xe05b3332, 0x2e6d821e, 0x62c11aef,
+    0x5674585f, 0x9e43428f, 0xc7e7bebd, 0xb371f9fa, 0x8dde7585, 0x49a458ce, 0xbac0af33, 0xd0b74e62,
+    0xd6f0f6ce, 0x26dd23d5, 0x2b531af3, 0x475e25c9, 0xfc5c8d56, 0xe983a80c, 0xa88e41a5, 0xf18b921b,
+    0x9256c5f5, 0x31be5741, 0x66476a85, 0x412809d1, 0x599fffe9, 0xf75df0cc, 0x5923eebb, 0xf366f234,
+    0x1a5fcd2b, 0x8548339f, 0x782c9eb8, 0x35e75c52, 0x7dcbd459, 0xd7a0221c, 0x37d8c0cf, 0xd47bf002,
+    0x2820990e, 0x29dd94b9, 0x57d88594, 0xd2d50f62, 0x2865943d, 0x02f2a0a5, 0xfdaf1853, 0x66f286a4,
+    0x21caaf5a, 0x56b8d1ea, 0x58619d6f, 0x3ddaef51, 0x3ae7dd6f, 0x958f04ca, 0x23e070b1, 0x10874d31,
+    0x749f2aa8, 0x5f181836, 0x79aafd47, 0x93436599, 0x2595db05, 0x0340538b, 0xc4d7d403, 0x8b92b92b,
+    0x93c48311, 0x7d90398f, 0x952629bd, 0xd6172fad, 0xcf7bc5bd, 0x880885f8, 0xa463ca6b, 0x91779a2a,
+    0x1e8f453d, 0xa0cc33be, 0xb24d66ca, 0xbdab32e8, 0x9074078d, 0x732e0f7b, 0xb49be5f0, 0x460ff8f9,
+    0x549d00c1, 0x9edc9fcd, 0x341ee8bb, 0x52c909b6, 0x7fbd9076, 0xca4ede22, 0x6978d7db, 0x3cd549a2,
+    0x32b22da9, 0x49c4abe2, 0xb39b6ca1, 0x36e5b5fd, 0xcde83d1c, 0x9163b097, 0xc45652b4, 0x97e6d61d,
+    0x10f4a7d4, 0xa3a74981, 0xfa93a933, 0xe775c5f0, 0x193c9cd8, 0x2ec5b08d, 0xf21d6529, 0x15b26e0b,
+    0x0f6caa1c, 0xf649dda1, 0x96ebff62, 0xa2e6cef4, 0x62453091, 0x74f9c36b, 0xdedb241b, 0x6265ac65,
+    0xa6af7d1a, 0xead37391, 0x7746aa6a, 0x287a29af, 0x8126f1e3, 0x55af1d62, 0xc8347d56, 0xa1f0454c,
+    0x8915c2c4, 0xa653b4dd, 0x2818d894, 0xb2771597, 0xaee234ed, 0xc8c4c405, 0xc9dc6047, 0x6617409b,
+    0xe7d4704a, 0x86dc9363, 0x0af69bbb, 0xcc6eff12, 0xab28c888, 0xeb9c0386, 0xd32e93ae, 0x5251f2b6,
+    0x1906c047, 0x51ce97a2, 0x4c82a047, 0xf3539156, 0x125fc393, 0x668129b5, 0x26918147, 0x4328c9e2,
+    0x9d3528cf, 0x2094e95a, 0x55978fab, 0xa6eb46bf, 0x590a53f8, 0xf8110f82, 0x2cecd352, 0xf81785bc,
+    0x5655990e, 0xb584e877, 0x422c49c7, 0x0e2893ad, 0x07f37d5b, 0x0a1d5d72, 0x0e4e6d0a, 0xbf5f5998,
+    0x7df9030c, 0xea474ef4, 0x5ea46b9d, 0xf2a38f0c, 0x89685c24, 0x6f1d0e54, 0xee079a07, 0xc1760fdc,
+    0x32587396, 0xbf6ef547, 0xfcccecc1, 0xc150f374, 0xd9f8c4a7, 0x441e50ae, 0x8fe630e7, 0xc5587321,
+    0xb487e6e5, 0x60ad40b6, 0x94e999e4, 0x6c23416e, 0xf58ebee4, 0xdd0cfcd0, 0x44144525, 0xfe9052f9,
+    0xda024c24, 0xe609e6c8, 0x10a19c76, 0xdd5e5e4d, 0x152055db, 0x0891c1e3, 0xa4f466b1, 0x99247171,
+    0xd7fb0bda, 0x7eb6f57b, 0xf843c959, 0x8850eed2, 0x3e89c13e, 0xe80c7694, 0xc2c01449, 0xcac74528,
+    0x86a08948, 0xf2140e5d, 0xfcbce053, 0x2f8bc8fb, 0x57c44717, 0xffb11742, 0xac997fc0, 0x38e462a6,
+    0x5f1c8d08, 0xdddde092, 0x90a9f8e8, 0xdc6cb56f, 0xca575802, 0xe54f3863, 0xe1688b05, 0x39ae4fa7,
+    0xa2b3912c, 0xdb18eca3, 0x7bd1ff32, 0x183e9f20, 0x08d50be2, 0x70f67fb1, 0xfdeb6670, 0x0e6b57e2,
+    0x30fbc443, 0xd485a143, 0x5b4262a2, 0x08bd3bfc, 0x6548a1b4, 0xb784efa1, 0x6b7ad89d, 0xd6f35d75,
+    0xe1bf39b2, 0x061d1411, 0x08c09ba9, 0x4fec1cc2, 0x28529797, 0x8381f0a4, 0x112ceb6c, 0x11fad4ad,
+    0x3990ecef, 0x42439985, 0x9c5defea, 0xc6486e83, 0xf4b761f8, 0x711041c5, 0xa712f0c1, 0x271eea63,
+    0x4106f0ce, 0xc9a84544, 0x9aedaab3, 0xb3d4cf4a, 0x31eeb19a, 0x8bae75fd, 0xb0a88124, 0x67c008c7,
+    0x0e7ca19f, 0xa0c59e35, 0xcfb2c070, 0xa5d573f5, 0x9b874fc3, 0x895ed68e, 0xf0f1d5b2, 0xbcb7d61b,
+    0x659ea537, 0x8efd11a2, 0xfc27c188, 0xd31b63b3, 0x89b4ed04, 0x7f6c680b, 0x077ed0dd, 0x0adfad63,
+    0x699d549c, 0x0757e224, 0x16dd20bb, 0x33f1b296, 0x8bc71e63, 0x11e88d69, 0x8de8c1f4, 0x25c3c448,
+    0x86e23b5d, 0xe81e5456, 0x1101df26, 0x1a9a8a17, 0xb18788d1, 0xa23ad3ff, 0x10f315d0, 0x0dc1cd96,
+    0xe7433ed9, 0xd53d1e03, 0x27be45d7, 0xe9d80315, 0xca0fd5db, 0xa60c65b4, 0x216375ef, 0x5088cf89,
+    0x78fb643b, 0x6988deef, 0xb75d876c, 0x48da093a, 0x3b3de62b, 0x6b39858a, 0x8974fca1, 0xa26483ab,
+    0x551f53ed, 0x7f2b5204, 0xd366df43, 0x8394cf2c, 0x6cf10f55, 0xc2fd094c, 0xc99e393f, 0xbc6c125b,
+    0x06e46251, 0x1528748f, 0x9794778b, 0x020d96c9, 0x70050ef2, 0xbd2aa1b2, 0x918cb436, 0xdec146a5,
+    0x0ca611fc, 0x53a5521f, 0xd3c0fbae, 0xe2ada823, 0xdaacbc57, 0x327b8b08, 0x79584b20, 0x906c1fcf,
+    0x0f14e431, 0xa9f857df, 0x912d28c5, 0x74baff1b, 0x3b0ccc4f, 0xa9bfcf49, 0x7007bcdb, 0x2b5ea0e1,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000023945242826029513411849172299223580994042798784118784 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb6, 0x2aff1bd8,
+    0x00000000,
+    0xe4e3013a, 0xd3115408, 0x4680ecf9, 0xd49d0762, 0xe9a722f0, 0x63d3d215, 0x424fdde1, 0x03526e16,
+    0x6095439c, 0x810b5011, 0x1143fa32, 0xd9d2cffd, 0xb52be496, 0xc6a466b9, 0x8b5e6d97, 0xbb2f309f,
+    0xda5d9c02, 0x47c32b1a, 0xdb8e286f, 0x2edb3fa3, 0x401735d2, 0x4d0ce6eb, 0xc02ceb7e, 0x8f5ddd52,
+    0xc0957e92, 0xaf365336, 0x18fc290d, 0x6638a4fa, 0x73e7c3b4, 0x01331c8b, 0x35c9b061, 0xc2146614,
+    0x80f475c9, 0xea9dc4c3, 0x2bd5ae28, 0xa0fa8355, 0x57fd29aa, 0x704b6e80, 0xd4a8a9fc, 0x9d733972,
+    0xb4ba2423, 0x4ff2530b, 0x5bc6b554, 0xe0892b3f, 0xb133d1d9, 0xbda95bee, 0xa1678c15, 0x3dada222,
+    0xf6ce8448, 0x46a7a216, 0xae170121, 0xc5e42370, 0x80e16540, 0x98a50c9a, 0x9b9efa5f, 0x33a58a45,
+    0xa6487d31, 0x3c95f85d, 0x882fe6be, 0xb0dcc72f, 0x6f1418b7, 0x636401a5, 0x9004e8af, 0xb723464d,
+    0x59ac17ee, 0x64740374, 0x15ee1ead, 0x87343639, 0xd27c04ab, 0xa01e6121, 0xb073e9b2, 0x4135343d,
+    0xcb77abbc, 0xe183785d, 0x660effbb, 0xae368ae0, 0x077c94e7, 0x48425370, 0x9ecf407a, 0x592f5cc7,
+    0xc8d6eb89, 0x9e0626fb, 0x2cbe0e09, 0xbef509f8, 0x7e931e34, 0x3dbae289, 0xcaa46c9c, 0xa0d09a8e,
+    0xd504e93c, 0x1de0e590, 0x1d7b6f98, 0xb975f791, 0xf8051202, 0x7b2dde09, 0x037412cc, 0xf0008d22,
+    0x1913c1aa, 0x9870a322, 0xe58e3019, 0x2a947156, 0x6492191e, 0x558ae680, 0x3a08e02c, 0x3278252a,
+    0x1512bf7a, 0xcbc23faf, 0x14aa4847, 0x1c7a80a1, 0xec1ed43f, 0x4e9118ee, 0xf90d69aa, 0x142bc4b1,
+    0x486e9e0c, 0x5b243eaf, 0x7b4bbc28, 0x6ceec54b, 0x09586aac, 0x7e28335b, 0x64e0b3c9, 0x87b42a19,
+    0x332b0344, 0xb064027a, 0x1712f371, 0x7abc43f8, 0xce6b28d8, 0x4d144957, 0xedae413d, 0x5674abb3,
+    0x42e0ec47, 0xb910275b, 0x961c45bc, 0x2f832196, 0x0dd951b4, 0x66cde4ca, 0x80b31dc0, 0x9f4fade2,
+    0x4761e4e3, 0x38d32ad1, 0x2f1dbf6b, 0xdd1b61ed, 0x7fc223af, 0x844808d0, 0x155d248b, 0x8d628ce7,
+    0xa272b97d, 0x03d390ee, 0x475f9588, 0x82a71247, 0x251d182c, 0x671e9b29, 0xc046aedd, 0xe3ec5163,
+    0x18d9ba3d, 0xd296e61b, 0xb9b6b8c3, 0x8ac4388d, 0x134e2b63, 0x2cc6a4a0, 0x299ea9aa, 0xbe49c2f7,
+    0x6877e3fb, 0x96c18d3d, 0x98e7690f, 0xe002ad05, 0xaa2f550e, 0xe1665646, 0x30854abc, 0x5ec0eca3,
+    0xea35851a, 0xb7da2a3b, 0x5ffa25a3, 0x412f975c, 0x145c6241, 0x7265fab9, 0x0cab6227, 0x63d0c705,
+    0x207b1ea7, 0x13c535e6, 0x6d578b9b, 0xd500c138, 0xb257112c, 0x9e3caa09, 0x4e096327, 0x037c9bcd,
+    0x8714af50, 0x12285c59, 0xb17361f5, 0x66705d84, 0xc6655f01, 0x5c23ed5e, 0x306692e3, 0xfbf30b6b,
+    0x60e80005, 0x7c699d7d, 0x52f97477, 0x97fb87e9, 0x25ffa5aa, 0xda03ae7e, 0x7b3320e8, 0x0d8b3b6a,
+    0x5c8d91b5, 0xcd398d7e, 0x19160c61, 0x57b49d7c, 0x10320910, 0x21c75bf4, 0x9eaba6f2, 0x151d5d31,
+    0x038eb931, 0x5095a825, 0xb6af930e, 0x7182660c, 0xd37a7d1e, 0xef8806f1, 0xa241c88e, 0xce2aaf5d,
+    0xbe8ae9fc, 0x3346dbc7, 0x896a4d17, 0x498ae86f, 0xb47df4f6, 0xb84c854f, 0xe8b06c43, 0xd378abd5,
+    0xe48f1902, 0xfcaf1190, 0x26a7b797, 0x54d9919b, 0x29eec310, 0x9e672986, 0x669ff7bd, 0x26c3571c,
+    0x305a14ca, 0x3175e4ef, 0xaa871cd6, 0x793ead0e, 0x1bbb1e61, 0x187092eb, 0x5c5d1d1d, 0x7e885b24,
+    0xb286b827, 0x1b5791ba, 0x7f7c058a, 0x18b82fa8, 0xe7f92603, 0xaa6ab9f6, 0xea51aff2, 0x97493e40,
+    0xd5e35fa0, 0xd24790cb, 0x1c2e8a5a, 0x9051dd70, 0x7d3b084d, 0xeb8a683b, 0x80455d4f, 0xf070204c,
+    0xdb3f1ad4, 0x87a49530, 0xb3812d0a, 0xc9a3e6b6, 0x0195f493, 0x7c78d73b, 0x615c9221, 0x4e93d0a8,
+    0x0963d3df, 0x4411f5ea, 0xeb6ab7e2, 0x0bcb27f6, 0x68ea8d67, 0xeb7a7a50, 0x545014a0, 0x4820faaa,
+    0xd17b5e8c, 0x94b65f6b, 0x281ee226, 0xf94851c1, 0xcc7dc418, 0x394b83f4, 0xdb5442b8, 0x5d5590e8,
+    0x6bfb80c5, 0x46090ac8, 0xa75c21a6, 0x0f0b87a7, 0x77e3df4a, 0x2820c88a, 0x205ce0f3, 0x0afa0f20,
+    0x48c66684, 0x6885a3db, 0xc72dd234, 0x1ad5c4fd, 0x82911d50, 0xfbead611, 0x5451281a, 0x7f2981bf,
+    0xdd8d7c0b, 0x61fa91a5, 0x325f5306, 0x85fd3ec2, 0x2105aeb6, 0xab98f816, 0x2df2c807, 0xc5bd4104,
+    0xa6ce3985, 0x85f44c8c, 0xf53d54d9, 0x3198ebc4, 0xc870095a, 0x866aaf93, 0x72d145fb, 0x0097843c,
+    0xe9644031, 0xc6db6760, 0x73741396, 0x1f978972, 0xf5b3f535, 0x2ff90586, 0x4e592b32, 0x7156797b,
+    0xe1d7d10e, 0x967ea3e5, 0x78ebd3b2, 0x1723c1a6, 0x68690725, 0x2d69a451, 0x7e5eea1a, 0xa0e41657,
+    0x5249d9ef, 0x09c9a2e9, 0x95ad28fc, 0x5638f557, 0x26c3bedd, 0x6f63da81, 0x539237f6, 0x3c9eb7c7,
+    0x7b561f46, 0x410a8b3b, 0x2cf502c2, 0xff4da646, 0x11f7a859, 0x7a5fe0d7, 0x0fb2e724, 0x1ccf3adb,
+    0x67c80515, 0xfcf28c65, 0xaaa0a1fa, 0x44e51be9, 0xf4f4f23c, 0x801d22b9, 0xf685611b, 0xff5303cb,
+    0xb97b7998, 0x8b0da720, 0x7c1b7a4a, 0x9275e4f5, 0xa1ab5617, 0xf5b74d11, 0xddd344ab, 0x2d278bd2,
+    0xe75dcee5, 0x616a2a8c, 0x0ca68007, 0xc99f37e8, 0xf7eb3c44, 0x7cb1d3b7, 0xc5a73ce5, 0xb9f513f1,
+    0x53aed70c, 0xb8775938, 0x20d9cccb, 0x3e43d434, 0x05a127ec, 0x5131de77, 0x6244238e, 0x50eadac2,
+    0x6c85dd6e, 0x0fe979b3, 0xa7bcb516, 0x69eb013b, 0x837e6a3f, 0x548b68a2, 0x4ce09347, 0xa0b91abc,
+    0x7d3d6f29, 0x3cc048f1, 0xa48be060, 0xb6e43ffe, 0x558e68df, 0x8d6d28b5, 0xa51863fa, 0x5006a06b,
+    0x0d0a4140, 0xe887b859, 0x22e2406a, 0x97d6113a, 0xa5a8de13, 0x6766951b, 0x2ee3f932, 0x86935ee2,
+    0x8f5e7968, 0xda48f3f2, 0x69eedc50, 0xf1a83f0d, 0x4d0d04b8, 0x18a3eeb9, 0x24907eaf, 0x49117f75,
+    0x51d900e8, 0x317250fd, 0xd8cf1609, 0xc1642eba, 0x47155648, 0x90a89a01, 0x8cc1c249, 0xc77b5533,
+    0xaaa99cac, 0x176e4ddb, 0xa939e4f8, 0x58437875, 0x66782086, 0x4accb90c, 0xf224264e, 0xb597da6d,
+    0xbde6e931, 0x99454360, 0x343fbec6, 0x10264cda, 0xfc7d6c92, 0x92ffc9d1, 0xb25b57e8, 0xbe8ad896,
+    0x0f4c731b, 0xc3854bb1, 0x7973ecb7, 0x6ef62131, 0x655ceb9b, 0x6048e2cf, 0xf8dba4aa, 0x7b2280b6,
+    0x3f06f4cf, 0x60c5fe61, 0x4b14748c, 0x04c63b6f, 0xcd176c83, 0xc10591fa, 0xdc416a6b, 0xc2d11b2a,
+    0xe45ddd7d, 0xa581be72, 0x1c7ed497, 0xf15908ff, 0xaaeae8f3, 0x11323d21, 0x75a52b8f, 0x7774986a,
+    0x4eae287f, 0xe894e009, 0x37acdda1, 0x7259f29a, 0x650ee06d, 0x86441609, 0x916a7b83, 0x74d89a7c,
+    0xb26c6bc7, 0x0b91e02f, 0x595862b3, 0x36f6e870, 0xac8cebe4, 0x01ea5b7d, 0x10b4444d, 0xb6baf3ec,
+    0x6880df7d, 0xd208474d, 0x2553c28f, 0xe9d62089, 0xff096d06, 0x1e02b6b6, 0x184c4790, 0x0c200b1f,
+    0x19e0568c, 0x8a29a11c, 0x32247614, 0x6249607b, 0xa12acffe, 0xe86aa51a, 0xb0b181f0, 0x2c86f72c,
+    0x5f49e7bf, 0x5d9aa1e4, 0x124acf00, 0x01c15c68, 0x2eb6cf79, 0xde370ca2, 0x76894589, 0xca644524,
+    0x936eff9b, 0x2a71651d, 0xbea99508, 0x6cd24c65, 0x5c5159d0, 0x88259708, 0xfaa1127f, 0xa28f6614,
+    0x3cf62934, 0xeb0287db, 0x1017883f, 0x065f89cb, 0x1c317a60, 0x41e246ca, 0xbd0985bb, 0xab172b12,
+    0x03dba3af, 0xdd1f8a1c, 0xa3970e96, 0x8acc7e06, 0x5d18de08, 0x6dabf340, 0x48c9ca67, 0xec6d61e8,
+    0xdd109ba6, 0x2c7388dd, 0xf78dddda, 0x6f64d29d, 0x44929824, 0x5eedf8b4, 0x2e21a296, 0xdddce248,
+    0x21494645, 0xbe676689, 0x3063c7fd, 0x027cec54, 0x7689ac88, 0xf9a9ef98, 0xd37dda09, 0xe0f3e3b3,
+    0x072b6dea, 0xf88daf82, 0x0d418353, 0x5ba38a68, 0x537251b2, 0x633076ba, 0x82b94016, 0xaed00bb0,
+    0x9eff1d7b, 0xb9a1c945, 0x7b61fcf2, 0x226d0b20, 0xa20c8099, 0xce18df3e, 0xa311af90, 0xb6553feb,
+    0xbbe1000c, 0x1420c54d, 0x30f88d44, 0xbfd9133f, 0xb9fa8da8, 0x422b4e18, 0xf7105184, 0xf29574d8,
+    0x5f0b5f96, 0xd705b071, 0xa882286a, 0x726d572c, 0x821c7249, 0xf0bf1a39, 0xa77acfa6, 0x22ab3ce3,
+    0xa1d15161, 0x16219b7d, 0xe45fe1d8, 0x016fd331, 0x10e5d58c, 0xab775835, 0xcbcb4b29, 0xb1cdb1e1,
+    0x5d11c5fc, 0x38dfa2f8, 0x89d04779, 0x1224ff97, 0x0bfa3758, 0x7fa350ef, 0xa415f0a2, 0xa8faaa8e,
+    0x5ca2cf8a, 0xf18c0438, 0x3bcaf192, 0x2afac211, 0x72194164, 0x4e3790e9, 0x73b6faa1, 0xf75de3ca,
+    0x2c200129, 0xa556fbd4, 0x40a8416b, 0x34123a28, 0x63ac93ee, 0xcabebc08, 0xf216fed3, 0x09720e5f,
+    0xde698f48, 0x3e546cc4, 0x0d4af2ac, 0x6c1b04fb, 0x2713f463, 0x93fa482d, 0x44cf6e22, 0x02f63f08,
+    0x49e31e32, 0x26ef0a72, 0xe07b44a7, 0xc13e49d8, 0xd0dab6e3, 0x0aba6dbf, 0x0a9e82d4, 0x0320c130,
+    0x9ae87f1b, 0xf3c312fa, 0xe8964eea, 0x13ce3f01, 0x7b9c8dd2, 0xaf7fbd48, 0xc4f0607e, 0x3b297dac,
+    0x401b98e3, 0x82b94e65, 0x5550634b, 0xd54d84f9, 0xdfd6e084, 0xcacad485, 0x00052ebf, 0xa02b31e8,
+    0x62099a4a, 0x1f6d7b8a, 0x9f44517f, 0x57c10cf4, 0xa1bb2a74, 0xea4b027d, 0x4c50506b, 0x1687ebaf,
+    0xd48085cd, 0xed8d23ca, 0x4fc6a527, 0xd3511357, 0x812ab249, 0xf392066d, 0x0dad32d2, 0x7b6da76c,
+    0x9a7d551f, 0x591e027f, 0x618a49c2, 0x678c535e, 0xadcee7d0, 0x84f6f8e5, 0x0114a27a, 0x4828d3b8,
+    0xe708ba9f, 0xbfeb5e53, 0xb3490132, 0x4c5e9a70, 0xa4531c70, 0x1ce6c3cf, 0x34786dc9, 0xf2e21d91,
+    0xcf43ef6a, 0xb1790364, 0x28239a19, 0x7d3a61a1, 0x4af0cda2, 0x1045d822, 0x6c716a0a, 0x0dd28137,
+    0xe1fb6fb2, 0x233b69a7, 0x691d0ef1, 0xd9b3e2f2, 0x75f77e6a, 0xdf4250ca, 0xbfe39be3, 0x0eafe5b3,
+    0xe67fb152, 0x458855b1, 0xfe67fde7, 0xd580a5da, 0x65dd7342, 0xbef91339, 0x8ebafc86, 0x36788195,
+    0xae007ba6, 0x0ab11cd2, 0x5af99fd1, 0xe620ad0c, 0xc2716c6a, 0x876ce55c, 0x59e59c48, 0xf3b21795,
+    0x49eef698, 0xb81ac0ec, 0xbf1eeb4a, 0xda73d1aa, 0xdff25f75, 0xe25a8cf2, 0xd09e81b8, 0xe567fbfd,
+    0x70ee6afa, 0x3cb93300, 0xd719798e, 0x681e564b, 0x705c3ee0, 0x13fba71a, 0xe954b442, 0xc933cf1c,
+    0xbb0d5df5, 0x50089310, 0x57252646, 0x6a2698ea, 0x26fb413b, 0x4189b4e9, 0xb8565ef6, 0xf1cbb3c2,
+    0xb825ceaa, 0x76bb28a2, 0x37591466, 0xcfb7c5a4, 0x8639bc70, 0xcfbb7c4b, 0x1c686cb1, 0x6511bc39,
+    0xc4359953, 0x51188a1d, 0xed0f2161, 0x3f3a60a2, 0xfa8bbc1f, 0xf6f8212f, 0x4aee2357, 0x4e9568d4,
+    0x764979ff, 0xeda7b15c, 0xa5692936, 0x16119197, 0xba764ddd, 0x3fdfc2dd, 0xdd7e67a0, 0x4309f83d,
+    0x4aaa12b2, 0xbbd5e142, 0xf97da214, 0x3e3005f9, 0x55e894e5, 0xfc5d7ed0, 0x895b7e3f, 0x7c9751ee,
+    0x91257cac, 0x6c3b8c1f, 0x4a30a4e0, 0x0c731b16, 0xe804933d, 0x32b12beb, 0x3e1438d1, 0xe0b1786d,
+    0x957c05cf, 0x3ce38e56, 0xe9d46019, 0x2f78da61, 0xb5950c02, 0x21446d98, 0xbd01e6b2, 0x3b65579a,
+    0xec52731a, 0xf119bfc1, 0x38493c98, 0xd6fb76df, 0xd703bba4, 0x943aec2d, 0x291f364f, 0x84590b6d,
+    0xb3665951, 0x4973aa60, 0x57915dc3, 0x60de6eb7, 0x3ed43615, 0x51311305, 0xbd18c23f, 0xf5fa0f56,
+    0x95a92ef7, 0xb1a67bd9, 0x17287de0, 0x1b254274, 0x4b127b3e, 0x79c909d7, 0x93e3bc8a, 0x3649f04d,
+    0x153c0c12, 0x5ebf7045, 0xab7325bd, 0xa464268b, 0x307326c5, 0x866e1c55, 0x907f6470, 0xa86cef96,
+    0xf49db19e, 0xef6eee8d, 0x2192dcdd, 0x562723e3, 0xaf106452, 0xb8ba72a2, 0x59b57809, 0x0f59d257,
+    0xa17927b5, 0x0c187cdd, 0x8cfddaac, 0xad78bdee, 0xc2a4c17b, 0x1d4ba269, 0x04b1baf5, 0xe9532424,
+    0x5ed8a00a, 0x3e110c1a, 0xaa45c438, 0x68810691, 0xb41cd2b4, 0x15697e1e, 0x90542e0d, 0x71c38600,
+    0x961ede2d, 0xe51d0deb, 0x9058345c, 0xeefdc08c, 0xad1f251a, 0xbeec5218, 0x919d5d02, 0x5978bc0f,
+    0x28d458b3, 0x8a95ef82, 0xea166eef, 0x6cb021bc, 0xfdcc0c2e, 0x4bbc91d0, 0xc7fb55fb, 0x23f45ad3,
+    0xc61a020e, 0x90804df4, 0xde45d28f, 0x7c3ed400, 0x0ff61d89, 0xd4606a1a, 0xfb3afec3, 0xe699a94f,
+    0x244beed2, 0x726ad38e, 0xb578c166, 0x943e1014, 0x49930b08, 0xfbf721dd, 0xb855d40e, 0x9f1f2bf9,
+    0x3f26ae24, 0x35b09956, 0xe417dc48, 0x9a9c67df, 0x30ff42f5, 0xe0819020, 0xc7b0db81, 0xeb22c690,
+    0x05725e31, 0xa15b73f5, 0xb0c122bb, 0x1cd92e98, 0x237b628e, 0x6d870207, 0x8f8752c6, 0x589331f7,
+    0x4d671e3f, 0xbca925ef, 0xab630d23, 0x1e5eb5f6, 0xc655b2b3, 0x9e26a068, 0xc22bbde9, 0x8ec72143,
+    0x8300a824, 0xe65b8dc0, 0xd02036f2, 0xef71a6b2, 0x926480fb, 0xade17c52, 0xb3080e01, 0x28afc03e,
+    0x560c45de, 0xd94f5c0d, 0xb8f179fd, 0xdf82a487, 0xaa586568, 0xd3e040fc, 0xb0917697, 0xb3ef3331,
+    0x51eb1e13, 0x73f2d697, 0x081753e9, 0x780c1c8a, 0xe5f645fd, 0xd702e6c9, 0x68ab2abd, 0xeb3d5405,
+    0x65f5fdf1, 0x5212e81b, 0xa52d42f5, 0x1be77237, 0x788396b4, 0x02f37d23, 0x6db0782f, 0xf5ab5a71,
+    0xfaaa6275, 0x80ece60d, 0xd381eff9, 0x53de1744, 0xb7601c6b, 0x0a3cb7d2, 0x89e3b53f, 0x51bb6ff7,
+    0x3fd479b7, 0x327c5e1c, 0x4dfe4a06, 0x7a16d782, 0x8dd167bc, 0x34603899, 0x8d260a29, 0x44c207b9,
+    0xcf70d9f9, 0x953cdba0, 0x9d061ca4, 0xe91e45d9, 0xf987af87, 0x6bde175e, 0x39714042, 0x11334afd,
+    0xda09e095, 0xa25170c1, 0xc5ebe24e, 0x1045b5f2, 0x6ff77cd2, 0x3d42fefc, 0x7d8ee7f1, 0xb11fecad,
+    0x2601b0c4, 0x6ca736a0, 0xd4c83266, 0x3ac133eb, 0x46f171a0, 0x2a0f0c74, 0x0accc97b, 0xa7fde60c,
+    0x6d6b64b0, 0x8e7be429, 0x6a05824a, 0xdec562e5, 0x5648b6a9, 0x2213549b, 0xb5143020, 0x4c87fb69,
+    0x938856e5, 0xba112f42, 0x7e35c039, 0xa7301353, 0x20a13da6, 0xb01d5c38, 0x3dd36a87, 0xd6628545,
+    0xe5ed2129, 0x804257fa, 0x6133f02e, 0x08923c59, 0xc8a87ca1, 0xf1df2b25, 0x0a51e5f9, 0x0b438c11,
+    0x9d3aabdf, 0xd725c0af, 0x94adb2a6, 0x60228500, 0x9298a3e7, 0x165955fe, 0xbf062893, 0xd9a52b7d,
+    0xfc6362dd, 0xe5c5d44d, 0x3314c55d, 0xf8af1976, 0x29f372da, 0x696376b8, 0x8aad63da, 0x3168f655,
+    0x692ebe99, 0x865aa7d1, 0x7745a3e2, 0xe6cfcb1d, 0xac27a78b, 0x996d4739, 0xcb101732, 0x77ef3449,
+    0xb942d0aa, 0xf0493f0a, 0x0551de37, 0xea18f843, 0x4a07e9b2, 0x0a7c3568, 0x512ca577, 0x3efe7a80,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000011972621413014756705924586149611790497021399392059392 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365b, 0x157f8deb,
+    0x00000000,
+    0xf21065a6, 0x0fd7377d, 0x5740a61d, 0x98f889af, 0xed626aaf, 0x89af65dd, 0x9548e390, 0x23c95811,
+    0x527f28c1, 0x2d2614d2, 0x24f9ce17, 0x388c075c, 0xbfe32bd4, 0x8dd33e43, 0x378466d1, 0xdbbc2828,
+    0x3f76238f, 0xbe0c48a8, 0xc9befdbe, 0x44639a24, 0x2ab8dfc1, 0xe8cd3e5a, 0xba2c0a85, 0xd369ae28,
+    0x3b29e753, 0x9a711838, 0x6d6c4e8e, 0x5372791a, 0x86e02a71, 0x19cffdf8, 0x8a6c265e, 0xd3b5e163,
+    0xc7636b3e, 0xf7b6bd45, 0x8d52f59e, 0x821f8dd2, 0xb15282a2, 0x17192a6d, 0x4dae1780, 0xbdd4d469,
+    0xd4f15f87, 0xcacf74d6, 0x890540b5, 0x469b7857, 0x188c6d3b, 0x62b3a6c4, 0x0f558b8e, 0xd3d8e9d8,
+    0xaaa8ce93, 0xe266bcbf, 0x8f23679f, 0x56538664, 0xdbae3d25, 0x00b670ae, 0xac0e2cc1, 0x616c7be2,
+    0xd818cdde, 0xf957e006, 0x159007a9, 0x1111b3d5, 0xfaecf9cd, 0xe20ccbc7, 0x4b8a869a, 0x50e0eff4,
+    0x8899b3ff, 0x8faf15dc, 0x175efa77, 0x5f9b4626, 0x255e1598, 0xd8e4d366, 0x279080e8, 0xce91b5f3,
+    0xb3238a5d, 0x1059fa40, 0xeda5e3a6, 0x2d7fa013, 0x422e4615, 0xca3ec131, 0xd5374e57, 0x7d677b86,
+    0xce2afd24, 0xd12820c7, 0xb89df4d1, 0xe7a11753, 0x701bad00, 0x6d328290, 0xd6cdb9d9, 0x5d0f505a,
+    0x9c2fe44d, 0x6b9688bc, 0x70039cbb, 0xdca563fd, 0xd3a4ccc0, 0xbe51e27f, 0x11537d63, 0x40a83378,
+    0x580e6b12, 0xb48e7364, 0xd34f063e, 0x3334694b, 0x93b8c806, 0x95676bd0, 0xd158a6d6, 0xe0450b65,
+    0x3a22839b, 0xdebed976, 0x905c66e4, 0xea4a5080, 0x79498f67, 0x6ae3c66e, 0x15d112d1, 0x6d1abc20,
+    0x07d4654b, 0xe0e3bc81, 0x4ee79fb2, 0xc0f680c0, 0xfa43f355, 0xb0bc004a, 0x0a202e6d, 0x49cca28e,
+    0x4274e457, 0xc228a9ed, 0xdd234f3b, 0x0294b1ed, 0xf804efbf, 0xa936a493, 0xcca3d3b7, 0xa7e39b77,
+    0x0e08cd1f, 0x5c76961a, 0xbdfe609a, 0x95e47ae9, 0x96c88fbe, 0x93709092, 0xbc28fd18, 0xb480fe30,
+    0x8af5cced, 0x811b60bb, 0x2c5d9504, 0xd4309876, 0x38e15e23, 0x798c96f9, 0x5f508042, 0xf84c8629,
+    0xd31fd3e8, 0xf80e0ed4, 0x8f62aea5, 0x309357b1, 0x47dc8f2b, 0x544a959f, 0x96e91ae9, 0xebfe147f,
+    0xef1cfb44, 0x5c74183a, 0x65cc18c6, 0x1fee0655, 0xd09e2d22, 0xff46c332, 0xc341d2a3, 0x433fa19c,
+    0xb017b321, 0x51ad1f09, 0x076f3361, 0x7cde46e2, 0x8b3a818a, 0x92c5f1cf, 0x44d6ca6b, 0x3be54faf,
+    0xe31f7582, 0x98f0e423, 0x68a6a9dc, 0x4c077901, 0x45ea83d9, 0x8adaf15d, 0x766a877a, 0x09c40b7c,
+    0x27613abf, 0x9b6eefb5, 0x0b990cbc, 0x4d698fe3, 0xc8d02e02, 0x3f1e6653, 0x78b60edc, 0x77b92404,
+    0xe3e635a5, 0xd5bd853e, 0x545b1c9d, 0x5f50fb8c, 0x2a63e974, 0xc084d5d2, 0xef53d9a3, 0xd197577a,
+    0x7e7b08d7, 0x8f5644f4, 0x52b074f3, 0x8ac5cbc7, 0x22698f5b, 0x2e95a88f, 0x532f70de, 0xd94c5dbf,
+    0xb404a99c, 0x8547549d, 0x0782acc3, 0xe6058cc8, 0x62f7e417, 0x2c823996, 0x554c3112, 0xb0e3743f,
+    0x114973e9, 0xed06b660, 0x2da55cb6, 0x0f8f646c, 0xc7afe632, 0xe15e64a2, 0xe0707b43, 0xdad949a9,
+    0x64930862, 0x95854ecc, 0x4db49b94, 0x84fd9797, 0xabbd31c6, 0x75c99a58, 0xcdb503a5, 0x0a259f66,
+    0x0bb2ced4, 0x50a2761d, 0xabfcaa6d, 0x13e5e5e1, 0x4ca63233, 0xab5d5437, 0x94628906, 0x41c5a279,
+    0xcd16bf4f, 0xc0e682b8, 0x86dee46f, 0x6ee2b731, 0x03ea7a95, 0x1ba86966, 0x9a3a305a, 0xf156f0d0,
+    0xa5f0e15f, 0xadd1207f, 0xe13a4783, 0x4e871422, 0x57aa0ea7, 0x90fe29c2, 0x29dee8e7, 0xe15f0d7a,
+    0xe45a8353, 0x10bb5fdc, 0x2cbae9fb, 0x67180505, 0x5aaa6ec0, 0x5fabfaaa, 0xabd30009, 0x863cf163,
+    0x869f5ff8, 0x2b54075d, 0xf0b766c8, 0x756f40ab, 0xa010692c, 0xc03a69b9, 0x0a750cf1, 0x4c951cde,
+    0x1b25ba36, 0xa2787e8e, 0x03d71e11, 0x08c3941a, 0xe82aac74, 0x57f473a6, 0xb9e93f2b, 0x78804cb6,
+    0x3b869c1b, 0xaccd8c32, 0x91503185, 0xea8b71b1, 0xa0edd69c, 0x4ffc08c4, 0x1d7fcf0c, 0x01e6a311,
+    0x440e1c35, 0xcbf8bc99, 0x3b38787d, 0xa70c2948, 0x40834568, 0x6ab95943, 0x56500565, 0x66a7ce8a,
+    0x07db1aef, 0x77975af4, 0x6384bc4c, 0x4b6d7abb, 0x3ce0db09, 0x8f4ed92e, 0x6a5a9341, 0xf6fb7a70,
+    0x828bde41, 0x3e19ee2c, 0x3fea45b1, 0x0ba843d7, 0xc757dd99, 0xb4d16ac0, 0x05041274, 0x28a34ca4,
+    0xf97805bb, 0xe81d2492, 0x075842cd, 0x946e1e93, 0xf3b34d3d, 0x750aeba3, 0xd0a5534b, 0xfbf53b30,
+    0x293ce37a, 0x2e908d09, 0xa5b6da5e, 0x1101cf4d, 0x1baf3267, 0x049a6ae8, 0xed103b52, 0xe9048372,
+    0xd2cbaf75, 0xe6e8927c, 0xf1816e24, 0x337f6a78, 0xb81ac1df, 0x115443aa, 0xdbb4bd92, 0x3f2f63e6,
+    0x6d821d7d, 0x0e572224, 0xb39ef0de, 0x7e94f928, 0xd9a32e39, 0x00e3497b, 0xd2fd0e0d, 0x9c3833c5,
+    0x60edc3d3, 0x8bf418f9, 0xf41dab8c, 0x72dff9e3, 0x3c138c3b, 0x20e346e8, 0xea0818de, 0x4cc6fbc2,
+    0xe902bbda, 0xe61bf50c, 0x44d02df2, 0xb00816ed, 0x230f9760, 0x71d1bf50, 0xdb67f8e9, 0xb4d448ae,
+    0xe30d8082, 0x6ee9bdf9, 0xef7c73ef, 0x7097d86a, 0xc83047f1, 0xdcec965a, 0xf42237c0, 0x7afbf116,
+    0x332fd138, 0xce3426ec, 0x15297c2f, 0xa3405097, 0x92357bde, 0x5728d359, 0xd016e82b, 0xcdbc46dd,
+    0xdcb31092, 0xdca79df2, 0x7086082b, 0x4b20379d, 0xba3fbe56, 0x65933b98, 0x1a7135e3, 0x9a47f2e4,
+    0x49e8a20d, 0x5b320e67, 0xe0e66e8c, 0x1b1e0a8f, 0x06780794, 0x6576044b, 0xce805ddd, 0x2e7e249c,
+    0x2ed0daf8, 0xa5d3c9ca, 0xe9cf5c64, 0xbf2111f8, 0xed8aff92, 0xd538c2c9, 0x36db63c4, 0xbfde947e,
+    0x5192e1ae, 0xa6d55f1e, 0xd5d3a481, 0x4aaac113, 0x07f55195, 0x3bb8f88a, 0xe970524f, 0xefb2cc11,
+    0x23fa68d1, 0x9cecfa83, 0xc3e2418b, 0xb8123df9, 0x64eec347, 0x23c2ca04, 0x06298458, 0x7d1b0751,
+    0x4fca6d4e, 0x54e3dff6, 0x88e2f36a, 0x2ab3c8a8, 0x30db9e28, 0x4b58e0be, 0xe88e99bc, 0xfa159420,
+    0xfb26023f, 0x8c893725, 0x396ad90c, 0xf1e5f26d, 0xb3abbc5e, 0x5bfb0ed2, 0xbc07c429, 0xe9dc6008,
+    0x44a9b14b, 0x3dc01f6c, 0xca5d39b0, 0xcea6a03f, 0x27f80e76, 0x872d6c0d, 0x3ac22e2d, 0xa784c757,
+    0xd373b84c, 0x16638aaa, 0x02e50168, 0x8c44bfc8, 0x9335e370, 0xc9f6a8a9, 0x658f791a, 0xb219830c,
+    0x28359a13, 0xc23b94a3, 0x21509313, 0xb02427f7, 0x1e0626bb, 0x332faab2, 0x2c5f608d, 0xe2901a56,
+    0xfa243a11, 0xdc6829fc, 0xa7e2bc85, 0xb3a84145, 0x5781d645, 0x0adf4be3, 0xe6e5bd90, 0xbc74a511,
+    0x091e8329, 0x912513d6, 0x04699dde, 0xc53dace0, 0x3731594f, 0xf7620114, 0x5cdfa14b, 0x5432a4ee,
+    0xcf80e929, 0xa052a6cd, 0x91668441, 0x2964636e, 0x06f26180, 0xbfb87254, 0xb4369652, 0x86378fe1,
+    0x773ed2ba, 0x195c18a8, 0xab3c4dcd, 0x2d55d0a1, 0x8d6e2a63, 0x99f3562f, 0xe4bd8b32, 0xf9b85d05,
+    0x836f4cb2, 0x1acfdebb, 0x5f7465b0, 0xfdbfdb01, 0x9924b5c4, 0x11e985f6, 0x6daa3558, 0x0e015c96,
+    0xa4e7c1f8, 0xcb6e36d3, 0x92b0f02e, 0xe1fddd27, 0x19fafca2, 0xfde28c2a, 0xe2fdc3ff, 0xf6a05915,
+    0xe26a2015, 0x1de13b7d, 0xbda3eb6c, 0x5f7be2d8, 0x6c88c5de, 0x61cc10f4, 0x1b2f18d8, 0x53dfca2f,
+    0x4be89c93, 0x5bab9144, 0xfee341d2, 0x95204fae, 0x5ce09b79, 0x29f6ab05, 0xb3379e1e, 0x6a680a8d,
+    0x995e9e52, 0x69e2dca7, 0x7d71e471, 0xf150b89f, 0x02a0fbe0, 0x5762277d, 0xa1cd6229, 0x3940390c,
+    0x73edd598, 0x83b657a6, 0x51d374b4, 0x7adc19cc, 0x6596527a, 0xf559e233, 0x726d67a3, 0x7bde73c0,
+    0xeafc8b9b, 0xcbc920b1, 0x7cf21338, 0x59a8097a, 0x347df47a, 0x77f3bc81, 0x82655045, 0x0bdee629,
+    0x295edb42, 0x48b096f3, 0x3b6da97b, 0x6697b472, 0xc3c68ea3, 0x999afaa7, 0x763de8f1, 0x0830cd59,
+    0x9976924a, 0x0efa2a0c, 0x89f3d591, 0xaf9ecbdb, 0x2b31b30c, 0x7762de2d, 0xd9c9a3a6, 0x64627f6b,
+    0xcc421a29, 0x8f750d48, 0xc6b4d56c, 0xc9bcfac9, 0x01b37a08, 0x6062bd5b, 0x4f8d7d37, 0x39bf1098,
+    0xa69058a7, 0x08f95f1b, 0x52790bfa, 0x81b6dd7d, 0x1f0c5457, 0xc410b095, 0xed250ce2, 0x4bf8912f,
+    0xeca354b2, 0x81c0a164, 0xa9047d7f, 0x1da3c802, 0x26aa3d95, 0xe5530bfb, 0xa9dd9bf7, 0x16b8fa3a,
+    0x9fa0f16b, 0xf1f36926, 0xb15f6987, 0xa762b47e, 0x335581a5, 0xf3583526, 0x77bfcb85, 0x25024b3d,
+    0x10442974, 0x76615670, 0x53fe5de5, 0xc88137ed, 0x3c73b37c, 0x66a21bfe, 0x050ad335, 0x8b1cfa6b,
+    0xe0f4dd01, 0x229ba81f, 0xd7973aeb, 0x585346e8, 0x38e55b4f, 0x8ac754ab, 0xc8135517, 0xa68e628b,
+    0x0026cd8a, 0xdce4f5d3, 0xa7e1c62c, 0xe133f80b, 0xbc4beb77, 0xb8dc9ce5, 0x6f63119b, 0x166b8372,
+    0x2ee60176, 0x440b640a, 0x5c7d8ade, 0xfceded01, 0x9702442e, 0x0ceffd51, 0x26c3749f, 0x06bcc2ce,
+    0x16b14a4d, 0x12e49351, 0xe7ce20bf, 0x5a97601e, 0x42a87c81, 0x3afaabe5, 0x75320a25, 0x33ef8498,
+    0xbeb63910, 0x938da1a0, 0xd816dd37, 0x9f804152, 0xaeb75c29, 0xa29cafa7, 0xcbc09c23, 0xeb71b65c,
+    0x2e4226a0, 0x95bf2b42, 0xbaef9d36, 0xc7e932d8, 0xbca40229, 0x5d4a4586, 0xfa596c56, 0xd151b9e8,
+    0xca269e5f, 0x380f0283, 0x03914343, 0xe67764b8, 0x79929d7c, 0xf09cf5db, 0x5797b266, 0xcac242c8,
+    0xa0b47c59, 0x38c30d08, 0xc30cb269, 0x7d79b410, 0x2ae31deb, 0xb693d640, 0x231f5877, 0x7bf35d03,
+    0x22dff1e0, 0x7da10a1a, 0x6daacf73, 0x97f15ce9, 0x80057c39, 0x1080520f, 0x0b7af393, 0xd2074b32,
+    0xe0e3d99a, 0xd3c34714, 0x282b86a2, 0xa788411e, 0x5e68f25a, 0x2c11b475, 0x1771269d, 0x53463a84,
+    0xaeee7c04, 0x30693f48, 0xca72a267, 0x4be0263b, 0xe2000af1, 0x9a137421, 0x0408ed5c, 0xb62c5d16,
+    0x8cf628d0, 0x2c640aed, 0xfbee6172, 0x4d4bcba4, 0x319e8aee, 0xe53104b4, 0xbb374add, 0xd62ac588,
+    0xf6d3bb0d, 0xdc4ee153, 0x08fed293, 0xc936fb3d, 0x64fbcdd0, 0xd03938af, 0x1f107ab3, 0xaeb94799,
+    0x42861563, 0x3b135c62, 0xd3209452, 0x2234ab35, 0xb72a864a, 0x0d382e04, 0x0041b9b1, 0x277c714f,
+    0x50097430, 0xa361e859, 0xc8c71536, 0xcaa198e7, 0x072a0595, 0xddde5abd, 0xf846edfc, 0x78770b59,
+    0xf687c370, 0x919c1102, 0x14c32b69, 0x7a4ee704, 0xf4106c97, 0xfb2c6c17, 0x2c423002, 0xf6675b9f,
+    0x5490e2d0, 0xc6e1da0e, 0xa4dcf771, 0x77e30d5a, 0x3f5d4a23, 0xf2e11338, 0x2284af0f, 0x50dd3bd3,
+    0x48b2891c, 0x78bc6b91, 0x2d472e64, 0xf52e219b, 0x98edab5f, 0x861b760b, 0x1815bc38, 0x0f40f783,
+    0xaaee5ec6, 0x7cabd10e, 0x2c8233f7, 0x87c55c27, 0xc13ba62f, 0x4fabba03, 0x9654c7c7, 0x2c992606,
+    0x7bd9fbec, 0x0e804a02, 0x5ae942db, 0x2eb44524, 0xd39b1198, 0x3a5e8ba4, 0x9572ea4e, 0x08af62a0,
+    0xf785ac50, 0xbd65010b, 0x60da5296, 0x2988ae0e, 0x367b0914, 0x4ca596ca, 0xc0c22268, 0xefc258d2,
+    0x9521a97c, 0xac67d914, 0xe15b3a2a, 0xb55204aa, 0x312e1175, 0x972da36e, 0xdf3699bc, 0x4f7842f4,
+    0x395200be, 0xed2836d3, 0xfe511dc3, 0x7c777fa9, 0x900c5e4a, 0x073c4d3e, 0x6e46f10d, 0x78d76784,
+    0xbb72c487, 0xded0b889, 0x20ff8313, 0x12619b5d, 0x7fc05c0a, 0x45c3ee43, 0xe0faa3e2, 0x7fb86d12,
+    0x23300b47, 0xf6aaac68, 0x04eb1f69, 0x9215acc6, 0x0be4a69c, 0x968fa620, 0x7a059de9, 0xb075ec96,
+    0xbeff2a83, 0xe4fb8c3b, 0x90d637b1, 0xab142ca1, 0xe7a57915, 0x01322fdf, 0x2fa42789, 0x4cc00769,
+    0x7cf70e4f, 0xef52ba41, 0x48ee360a, 0x035b2ba8, 0x9927b11f, 0xb362efba, 0x433f683b, 0x0bcddfc3,
+    0xc6ddc962, 0x7b33c003, 0xd422d819, 0xfd6ece89, 0x4375adee, 0x5b7e4c30, 0xbd0e9cf6, 0x9317e3e2,
+    0xad70bdaf, 0x815e9626, 0x5a8d920d, 0x80b85f37, 0xdbfdf3a2, 0x4343a503, 0xeaa1cc56, 0x021bb2dd,
+    0x37341402, 0xbe2a081a, 0x4ac80199, 0x1147c68b, 0xfa6fb046, 0x326cc314, 0x1284da5c, 0x87af0dd6,
+    0x2172616c, 0x4ec026f1, 0xa46cd4d7, 0x82fc35de, 0x2650aafb, 0xc41fb9e9, 0x72cd275f, 0x1e3d6695,
+    0x7f0b0b3d, 0xb0837fe4, 0xbbeca663, 0x9f4d8022, 0x6ab40905, 0x470c9e22, 0xe243673f, 0xb6db3e45,
+    0xc08b014c, 0x6ff30e71, 0x38710efd, 0xe62757d7, 0xcc569481, 0xa1d06a1e, 0x36047483, 0xbf47cf58,
+    0xc8912ee0, 0x7aabd26e, 0xf75a6b22, 0x98745947, 0x51113650, 0x6e8ce73d, 0xd2326b24, 0x9c411997,
+    0x49d24e1d, 0x414b2be2, 0xce7363d7, 0xb188a925, 0xb6df6e88, 0x41d0cff1, 0x1d7969b4, 0xcb6c8a1e,
+    0x0cf0b927, 0xe2c2af61, 0x6f6a21d7, 0xa6085b3d, 0xd3e24eab, 0x874a67be, 0x772d5dcc, 0x989dbb7c,
+    0x177c6cb4, 0x07fb75b8, 0x8cad30c5, 0xc60c437f, 0x292af1c9, 0x0fd981db, 0xbd6d2364, 0x15e47832,
+    0xb544609c, 0xd12d1b4e, 0xc473d866, 0x97234ef8, 0x94733b44, 0xa53e29a1, 0xb987cfed, 0x044c456e,
+    0xbf69bf6c, 0xc51870e8, 0xfdc98214, 0xd86df1ad, 0x87ad646b, 0x79d961e0, 0x54dace27, 0x4c9def0a,
+    0x5f5dd39b, 0x824eac94, 0x3a8f138b, 0x6a54fc72, 0x53377a61, 0xe9ffed31, 0x4bc7ad60, 0x928895ea,
+    0x3499b1a7, 0x3d1e9b41, 0x6587aa2e, 0x123d0eab, 0xb67d019d, 0x063ee9d9, 0x06e45526, 0x314b6c45,
+    0x03c4dda8, 0x3b4130aa, 0x4250d457, 0xc76ff458, 0x8a386716, 0x86b44939, 0xa6eb3b42, 0xedb99a33,
+    0x850efe8a, 0x4b6d2f6b, 0xa81cb694, 0xa79d76dd, 0x2a708e5b, 0x5b53a0f2, 0x87485c82, 0x64384829,
+    0x23037420, 0x429eb415, 0xba7fb88a, 0x2830b56a, 0xf4548480, 0x3dca9e96, 0x2a4df6ac, 0x1287c98c,
+    0x4d6a083d, 0xdbe3251e, 0x75f40711, 0xd3f252b2, 0xb899b87a, 0xf0683ce3, 0x274cfd6d, 0xd59f015c,
+    0xb2f83d20, 0x1972cf88, 0xa7af6329, 0xcd01dce6, 0xe67af767, 0xa4d6b5e9, 0x42c06fd4, 0xff5f0a25,
+    0x87fbd1d9, 0x0d80c2a3, 0x31be3539, 0x4db739ef, 0x77274c24, 0xd460deaf, 0x17cf1fd3, 0x3a737841,
+    0xba47e58f, 0xd8efb025, 0x0904f315, 0x2076ad80, 0xcbbc8449, 0xd245f681, 0x4d306a2b, 0xf918f0ee,
+    0x2cef624b, 0x83b8ed6d, 0xc6d902e6, 0xfbfadc95, 0x85b7bb22, 0x125d0fd5, 0x7a50432a, 0x18acc8a9,
+    0xfcc0f1db, 0x7e629d38, 0xf957cc88, 0x59b03c5e, 0x77130851, 0xa9506fb1, 0xf099f93f, 0xa4a1f7c8,
+    0x59e9e98b, 0xf3f69804, 0xb65537bb, 0x88e64087, 0x88feab40, 0x4302d8ed, 0xd0522110, 0xaee401c5,
+    0xe01877d2, 0x50dcaa36, 0xd60eafab, 0x284264a6, 0x479764cf, 0xefd60931, 0xbf91c4d4, 0xa6f3e253,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000005986310706507378352962293074805895248510699696029696 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2d, 0x8abfc6f5,
+    0x00000000,
+    0xb005f651, 0x142f327e, 0xb3091158, 0xbe2bf095, 0x49cc669f, 0xe80ee374, 0xb4735ef6, 0xd911d697,
+    0x0e43aea5, 0xa34441f4, 0x44589ff1, 0x0f6c03ad, 0x7fd6e76f, 0xf3d76874, 0x2b93ea27, 0xb9d9dd75,
+    0x566922ea, 0x67523602, 0xdb43194b, 0x2fa71f5e, 0x817e89fc, 0x9b2d0d6c, 0xb37b99e8, 0xb3c2cefe,
+    0x36ee9e7a, 0xb99374da, 0xa248e18c, 0x9144572f, 0x6523dc9c, 0x6f98f20a, 0xbf60c8e1, 0xbe7aa531,
+    0x66c4136c, 0xc3a5f0a4, 0xfcb51356, 0xa01a9424, 0xf424d78f, 0xc72b8e17, 0xd3ba9a5e, 0xff3c5dcf,
+    0x715b72ce, 0x74d8c4ac, 0x3056bc15, 0x3791f2e0, 0x1b1a6c17, 0x6bee8d84, 0x73016bca, 0x8ec4eec6,
+    0xdcf23d23, 0x3540f804, 0x198f0bf3, 0xda691bae, 0x7030267e, 0x2ba08aed, 0x637967bc, 0x6b488f4f,
+    0xc68b7dfe, 0x41d69791, 0x4332a9b2, 0x4ed3721c, 0xce766926, 0xe317aea1, 0xb9ce0cfb, 0x50c9dcda,
+    0x94afa5a9, 0x684a9a48, 0xb1ed2eb0, 0xb39ac665, 0x253241ed, 0xb6359c1d, 0x70e4a4ee, 0xea5d71d9,
+    0x9b2896aa, 0x46332041, 0x4a63ecdf, 0xe3ba28a2, 0x7f879d9b, 0xdf41f33e, 0x0d4e00dd, 0x4a36d4e0,
+    0x11662720, 0xf8c5aea8, 0x0b526532, 0x59fc72e2, 0xf9baaaa2, 0xd4b87102, 0x0fcc600b, 0x00f14b36,
+    0xb41cca1a, 0xb32d61f1, 0x73bb3ab5, 0xd6e2c7c0, 0x03511a92, 0xadf3e69b, 0xb4619286, 0xb4e45589,
+    0x99c42707, 0x60d72f45, 0x748b1e8d, 0x7c4c00ab, 0xbbf5bbe5, 0x14049776, 0xbb0e95d0, 0x0044d488,
+    0x4d5f984a, 0x2b220218, 0xcfad4cee, 0x901be5a3, 0x81f4bc39, 0xe02433fa, 0x2cd4ad24, 0x282fdda0,
+    0x30bd2b95, 0x8c2e8b39, 0x8f87d839, 0x24cdd32b, 0x45410172, 0x4ee53230, 0x281541e6, 0x78c7ed7a,
+    0x82bd4629, 0x43772797, 0x94c685fb, 0xb09f94f4, 0xcd113a85, 0x1b32877d, 0x6ff06e5f, 0xf44e4a32,
+    0xd1793e71, 0xb39a6ba2, 0x58dbabb9, 0xe7550329, 0xf176a8d0, 0x8831ca55, 0xdce81dbc, 0xe7b43146,
+    0x1dbc5477, 0x4aa931b2, 0xe70c61af, 0x49f53321, 0x304141e3, 0xf22a1a94, 0xc2c10da3, 0xfe1c50b5,
+    0x52222836, 0xdcdb6ee6, 0x9a1f56b8, 0x0ab272a4, 0x3db399a2, 0xa08d9223, 0x5e23f86f, 0x0abd574b,
+    0x17a228ad, 0x529db665, 0xa019506a, 0x174294b1, 0x2141d82f, 0x10a7a09e, 0xc9ce13d4, 0xc2116a97,
+    0x63daf42f, 0x153853c1, 0x849d2268, 0x5b14b351, 0x2f0cc830, 0x2bde212b, 0xa087bf9b, 0x7738aff8,
+    0xc4e096f6, 0xcbf3ad11, 0xd5a5dfd8, 0x2d56afe9, 0x0e464e10, 0x16e1c3b3, 0x8074f9ff, 0x209ac321,
+    0x043e7475, 0x6c21c086, 0xfb97f713, 0x5356b5c2, 0xe0f060cf, 0x1c489c75, 0x3e2fbf37, 0xec6f5ac1,
+    0x1cc57176, 0xd4e28687, 0xdf54ebd0, 0x2bd48e9e, 0x9d5a0352, 0x2febe6d1, 0xdf163b06, 0xb4ba047d,
+    0xa7f458c0, 0x27865cc4, 0xb8d347e8, 0x1649acf5, 0x96a43d86, 0xf80123f5, 0x9e410af1, 0x08f171bb,
+    0x30a7256e, 0x8ce6b54a, 0xef7b009d, 0xee294b66, 0x38014b9a, 0x7500ae63, 0x21c33dc0, 0x869bcced,
+    0xed658ae3, 0x7d9cf7a9, 0xa792718e, 0xa4c30059, 0x7e7303e1, 0x26b57ff2, 0xbe1431ad, 0xb9a545a0,
+    0x5629ab72, 0xe3270075, 0x48f18171, 0xc6b459ab, 0x75782434, 0x35b29041, 0x9335ec55, 0xe5f08713,
+    0x4ec103d8, 0x3a1e8db7, 0x6b4db638, 0x1e5d0d5e, 0x6f71bfe6, 0x42afb494, 0x2b1e39ea, 0xbdd6982d,
+    0xdf65fc7e, 0xc6edf1b0, 0xab43adea, 0x5dd04b90, 0x1e0c2d24, 0xcf16c6dd, 0x35a5e7e0, 0xd589ba74,
+    0xa9159ee1, 0x00f48ae3, 0x498d0556, 0xcf724d25, 0xc17ac526, 0x6d97187d, 0xc819d630, 0x664a3bb0,
+    0xc2972147, 0xe309cdb2, 0x05b2c435, 0x9571ae74, 0x4c270baf, 0x0453b68b, 0x9d9b38be, 0xf697616f,
+    0xc0b97683, 0x8925801b, 0xc6766ee5, 0xdc6f4a79, 0xe6f2bae8, 0xa0343310, 0x1f6becd4, 0xef303c63,
+    0x55d61481, 0xd27ecd6c, 0xaf652704, 0xd87e05b0, 0x8eb5d8da, 0xfb1c9790, 0x37a61c1a, 0xdc2df2e5,
+    0x961bdcb2, 0x427fbbdd, 0x72f797ce, 0x5153cc28, 0xd7644f8f, 0x23dbb26f, 0xb419a146, 0x93ee1a2f,
+    0xe9bc7b5a, 0xb8476d97, 0xa1c640ec, 0x150f3d1a, 0x7d910f7c, 0xd3000f43, 0xc3b9cac6, 0xae460882,
+    0x0d18731d, 0x55f23da7, 0x9988b768, 0xc79854e3, 0xcb9edceb, 0x69c695bd, 0xc56d46db, 0x8fb8d4ca,
+    0x3f50bf1d, 0x1005326c, 0x9419b3a8, 0xd682649f, 0xd5435479, 0x6a673079, 0x56079d7a, 0x76614927,
+    0x06ab12f5, 0x9d55144c, 0xd0fe4497, 0xf77e88ec, 0xbda9edc6, 0xc1bc7ead, 0xd4ae12ce, 0xacf736a5,
+    0x8e7eb466, 0x65d16430, 0xcc34a68e, 0x01cb7448, 0xc860e46c, 0x7676552d, 0xaaf9569e, 0xd840e456,
+    0x3dd19ccc, 0x0a0345ee, 0xb1aae564, 0x61f5488f, 0xc85b9230, 0x6576c68f, 0xa3c3a0e2, 0xcb9212c6,
+    0x5e2504e5, 0x84e0e29a, 0xe94aa799, 0x9f80bafc, 0x0bc64740, 0x17928068, 0xd9e65b8d, 0x316edea4,
+    0x4d143bd8, 0xc0531c96, 0x41a1f043, 0x819d846c, 0x4caa95c5, 0x16d6c36f, 0xe34f531b, 0x5105fbd1,
+    0x3405427c, 0x9e3c5341, 0xb12071be, 0x0f9288c0, 0xcfa6eac7, 0xa80b3dff, 0xf7398c74, 0x39be3438,
+    0xe107a69c, 0xc101a040, 0x85decc25, 0x0e9a0a02, 0xfb1b4e2a, 0x0eced544, 0x267a8ae3, 0x2c637b07,
+    0x95a92475, 0x53251675, 0x569d684a, 0xb4581730, 0xe13c0050, 0xfeef305b, 0xd28c1d1d, 0xe919685e,
+    0x3f00d01f, 0x07d18e22, 0x508a52a7, 0x91553d06, 0x43f38763, 0x826c51c4, 0xfe372378, 0x33ed1b1f,
+    0xe7c16b9e, 0x089cfb68, 0x57abb67c, 0xf26f5d6b, 0x603bcfcf, 0x1eeccacc, 0xa52a08c6, 0x6b826b87,
+    0xc49c4314, 0xd737c511, 0x8167f748, 0x512917fb, 0xc2f2e841, 0xbed084b8, 0x2bbe7667, 0xc2b967e2,
+    0xe581031d, 0x61e17d01, 0x481b9ef3, 0xbd32a945, 0xe19da67d, 0xe74efe18, 0x31617ddf, 0x4ca497e6,
+    0x32deaf56, 0x2f54eed6, 0x2d201e41, 0x835ff858, 0xc634f835, 0x2de49c6e, 0x76f82e10, 0x57eabd07,
+    0x97f5538b, 0x32f80b26, 0x66d28c62, 0xf748f52e, 0xe9ae7b9b, 0xec36d812, 0x147b3ecd, 0xdec9a4ae,
+    0xffd998a8, 0x99f5354f, 0xbe9fcdee, 0x37d51226, 0x67009e9b, 0x5adbbf81, 0x1d8a2587, 0x4e7a327f,
+    0x9ed7d9af, 0x54bc91d9, 0x5ed4f555, 0xb4650472, 0xbc9cfbf3, 0x8c0b0c01, 0xd433b62e, 0x0c22bc3d,
+    0x5bd80f71, 0xa8da0787, 0xc9661ccb, 0x3120d906, 0x576ce220, 0xd15c0b9f, 0x15bddfbf, 0x1091d594,
+    0x414f332f, 0x95db4cb9, 0x84ed7188, 0x40937e38, 0x66ba999f, 0x5f96c184, 0xbeeebe81, 0x6ad5b565,
+    0xf80db0e6, 0x15fb6e8d, 0x83bab45a, 0xc07ea506, 0xc39f9228, 0x9ca2ae6a, 0x98b4ff47, 0x2f77e4d3,
+    0x02990acb, 0xf69e459a, 0xe511b874, 0x946fe193, 0x4522a4a9, 0xe6e2d806, 0x42b952fb, 0xd3faeb18,
+    0x98a94c7b, 0x061652f3, 0x473dd689, 0xc3f169d0, 0x11f62acc, 0x913afbc3, 0xcd24f94c, 0xc02d4189,
+    0x633261db, 0xb6757af1, 0xc1c5ccfc, 0xf35b5cff, 0x5ba825e1, 0x768e6871, 0xac8011bb, 0xb63b4f64,
+    0x8d68ab46, 0xb4a7e5ac, 0x15654f74, 0x89f3e731, 0x2ff067af, 0x5ea4c5a2, 0xf74b643a, 0x7aa2f5f8,
+    0xb076454c, 0xe74dc1b9, 0x63ed62a6, 0xdb52ae7f, 0x6cc399b5, 0x5bea85a1, 0x20933376, 0x461e3455,
+    0x6f1ab031, 0x27cdb6d6, 0x2f1efee3, 0xde56500f, 0x5c4ab5c1, 0x9f02e996, 0xe9321501, 0x90708e0b,
+    0x2d7ceb5d, 0x6a25a79e, 0xb61215d3, 0x4a2ab20b, 0xf621c09f, 0x019e602d, 0x2b5b8bb2, 0x2585da35,
+    0x7771a382, 0x7b5c9238, 0x5c7a5183, 0x6657043d, 0xde6875de, 0x5efb85d0, 0x085614e9, 0xc95d2988,
+    0xf918bc2d, 0x3666547c, 0xcb310345, 0x37517547, 0x6a6f0758, 0x3dde951f, 0x228baac9, 0xf7ab471c,
+    0xcda2f040, 0xcb8ae3b3, 0x8a20298e, 0xfb52d538, 0x0073c757, 0xf9bc0785, 0x34f5beb8, 0x9f926c6b,
+    0x92c16992, 0x9e17f6dd, 0x19f2ad43, 0x256496c1, 0x778a8319, 0xea709e54, 0xdaf50f20, 0x0184bfb2,
+    0xe503fb04, 0xa11ab0e0, 0x5de66ba7, 0xcae5db1b, 0xab961e5d, 0x0246bf6b, 0xa873e694, 0xd4f6f49c,
+    0x46ac09d3, 0x3581a13d, 0xe8010d56, 0x4d01e1f2, 0xfcdde826, 0xee1d7f35, 0xbf63c2f8, 0xfe3f1100,
+    0xe5ed3ded, 0x68ad3333, 0x66043f94, 0x02957c52, 0x454b6fdf, 0xb01cd1d9, 0x44212d80, 0x402c27f9,
+    0xaf653f8b, 0x9fbe28b8, 0x8813d491, 0x86a3dffb, 0x7aecc598, 0xb9155ea8, 0x7d75ac98, 0x845a0a8f,
+    0x3ff3f31c, 0xf03292ad, 0xffc78414, 0xe077b3fa, 0xc0c0b099, 0x02fd879b, 0x0adf7d15, 0x05b3766d,
+    0x4bf5d485, 0x8c98a963, 0x38dd2b5c, 0xaa274bb7, 0xaba4a19a, 0x76b57c3f, 0x171b4cde, 0x6e9554e2,
+    0xec8ed0b0, 0xf41828e4, 0xe8d069cb, 0x31aeb1e0, 0x774faad6, 0xad9dd529, 0xa6d5af6f, 0xe2d5b805,
+    0x4051a9bd, 0x13d51b85, 0xbb0f3021, 0x37e5af9f, 0xf901d094, 0x72127aeb, 0x23067504, 0x4d771c25,
+    0xd950cae5, 0x5138a2ca, 0xc08a2750, 0x23433cf4, 0x0c541e1c, 0x63d001da, 0xd99daae8, 0x1ca1eac0,
+    0xf8682889, 0x6e13b448, 0x55c3417b, 0x9d7a5c63, 0xee02f86b, 0xd7c18f46, 0x06654984, 0x1e4bab7a,
+    0xd3791839, 0x40067a5f, 0x67438676, 0x3fd999b4, 0xb0128341, 0x149cb82a, 0xd6c98dbd, 0x8441a070,
+    0x8b413e8d, 0xae0e2af2, 0xe752e88c, 0xdec92838, 0xf028b873, 0x3720ee36, 0x9f85758e, 0xbd21f9e7,
+    0x84d76102, 0x18f1799d, 0x22e88f83, 0xcb319111, 0x39eff741, 0xde5fcb7a, 0x45086806, 0xcd8fdae5,
+    0xc33b8659, 0xcce3e09c, 0xc4495e04, 0x3561d258, 0xb57fc86c, 0x688b44a4, 0xb8b01143, 0x0d2521c2,
+    0x6b8a6a0b, 0x8d650574, 0xac449748, 0xaff20a17, 0x241107b3, 0x34bc08ba, 0xbc6bb5dc, 0xcb7105c8,
+    0x6f218520, 0x2beb5686, 0x04445ab6, 0xa38f34a4, 0xfe362334, 0x42e8463b, 0x8ccedba3, 0x4743ec67,
+    0xe1342c2d, 0x6e1f1661, 0xe49db06a, 0x603ebb76, 0xf930640d, 0x3eacbe59, 0xc0cb3d70, 0x3a596efb,
+    0x766fd328, 0xe8ac8fde, 0xb4c31d85, 0x7e701b5d, 0x33df3b4f, 0xaa09b572, 0xa8a83160, 0x7963f32f,
+    0x1a0494b2, 0x9ea21b85, 0x05bc578d, 0xa23fcaa0, 0xeb38d811, 0x9cfb4a52, 0xd54d1842, 0x489d1a44,
+    0xfa7f9de4, 0x22f1b20f, 0x2de22bd3, 0x6c75e3f4, 0x31afb138, 0x4afd9ab2, 0xf7fe2a6c, 0x5611ed90,
+    0xf79fb748, 0xdc81b651, 0xbe62717e, 0x2a80c20f, 0x2eff8008, 0xa2af91c3, 0x7738a23f, 0x7a51cc5e,
+    0x628792df, 0xa13708cd, 0x5dd20b50, 0xe04e76e9, 0x26dcbabf, 0x26886c73, 0x1f99c1c1, 0x29b5a2ce,
+    0xe8e55090, 0xb0895e22, 0xbc288dcc, 0x2b1d9362, 0x93cee02d, 0xd688c5a1, 0x8c94ce7e, 0xa369df48,
+    0x6a886160, 0x788159ca, 0x6b2d3001, 0x47fccd86, 0xe880847d, 0x76c0bc44, 0x6fbb6d51, 0xa1f8a828,
+    0x2fbe3c7b, 0x93441717, 0xfef65f2e, 0x6793cbf9, 0x6a220850, 0x49e0151b, 0xf35316e2, 0xee901da1,
+    0x92091cd8, 0x8957db0f, 0xae847f58, 0xc35837b8, 0x1b9fe070, 0x60833a5f, 0x9e17490b, 0xf4b1e430,
+    0xc1bec99c, 0xc51837e9, 0x8564d4a7, 0xe06921cd, 0xa950cb37, 0x2cb06a6f, 0x04cbe656, 0x27f38f9b,
+    0x938b8322, 0x4def0084, 0x8392e436, 0xd5448606, 0x292ec9d6, 0x0146e7dd, 0x1228e291, 0x5b9fd369,
+    0xe2f3a554, 0xd6b75856, 0x77d1949c, 0x5e3186a5, 0xd05f796f, 0xf23c57ed, 0x39fbc1af, 0x117a3cbb,
+    0x41b09b77, 0x34f8aa10, 0xd101789a, 0xfc14e21c, 0x15c58aff, 0x77f7bf86, 0x7011955f, 0x90457806,
+    0x854834f9, 0x625821f6, 0x075d546d, 0xe0011b65, 0x30ed4667, 0x25a9b1c5, 0x9f0d85ca, 0x493c69fb,
+    0x6ebfabdf, 0xc22d0f65, 0xe8dacc5e, 0xabc1447a, 0x25cea21f, 0xe0f050c2, 0x89abc90f, 0x42a52aaf,
+    0xe85877cd, 0x9236c11d, 0x408779f8, 0x9f5024e1, 0xaaa0bd6c, 0x318a1b41, 0xdeafb857, 0xf12469e4,
+    0x1d9aec32, 0x3e410a4d, 0x8cd37bc6, 0xa0815ff7, 0xfc453040, 0x24d7bcfc, 0x99aa7eb9, 0x9c1700f7,
+    0x8bd7a92c, 0x15535af9, 0xd3c69bf3, 0x41f41e23, 0xa21227fb, 0x68a594c2, 0x4078fdb0, 0x94809487,
+    0x61c72367, 0x967fe5ae, 0x84d1f2dd, 0xa532ef5a, 0xa3c653e1, 0xd05782aa, 0xf55278d7, 0x56237703,
+    0x4605f98d, 0xb2eaeb4b, 0x7309d4e8, 0x9cd7ad2b, 0xb9e1e269, 0x5a871b7d, 0x859a80c1, 0x7a91dbbb,
+    0x0019a267, 0x4e1636e4, 0x6df28930, 0x05131b82, 0xf451fa5b, 0xf518b6f9, 0x6e4a6e5c, 0x164ebebe,
+    0x1bf4ffdb, 0xc2aa0443, 0xf8b71442, 0x7ac684bd, 0x84396095, 0x53a22cdc, 0x618897b3, 0x7e1bcd47,
+    0x6e440688, 0x8da7d649, 0xf2c8a9c6, 0x47616bb6, 0xd62f5479, 0xa7e3954c, 0xadcdff06, 0xdd701464,
+    0x54811a0c, 0x97fb794d, 0x493c8cd6, 0x1fc9967e, 0x1af17f41, 0x296db9de, 0x257abf95, 0x8d85cb4d,
+    0xb6cfab61, 0x92f289bb, 0x0bdda00b, 0x3ef32c37, 0x3a12353a, 0xa1ed62a2, 0x937216ed, 0x153b94d6,
+    0xc3d64022, 0x82524ba2, 0x3a376304, 0x771e2ad3, 0xd90e2b99, 0x85be8841, 0xa469c4dd, 0x0e75c339,
+    0xd4054fba, 0x58de61ee, 0x5a16a741, 0x24663bd8, 0xf6563ddb, 0x01c18324, 0x2c74a89b, 0x7f68bfed,
+    0x04035a43, 0x6952654a, 0x6ed05da4, 0xb5a901af, 0xb636fdeb, 0x2a2d0d41, 0x687b848c, 0xb8fa68d9,
+    0xe82b5cf6, 0x3e364773, 0xa37763a9, 0x4bc6fec0, 0x189e6063, 0xc3eb7725, 0xaf053788, 0x77353602,
+    0x31ed413a, 0x563ea030, 0x3d41f6ee, 0xb60256e2, 0x99c7204f, 0x1690d898, 0x2cfe8734, 0x4384648d,
+    0xbc607539, 0xf92955ed, 0xeeed6549, 0xd3bbb743, 0x05b101ea, 0xc4f57d99, 0x2fa0a307, 0x5b2f6ca6,
+    0x6ce73d78, 0x829828b9, 0x80560e76, 0xec3ee306, 0xeee92576, 0x85203a34, 0x92c0f548, 0x2b23c154,
+    0xb215e555, 0xc72eaa06, 0xdd06f6ad, 0x0f9e282f, 0x52b1832e, 0x67ca461e, 0x29013b0a, 0x5b17e87e,
+    0x5956adc5, 0xebfb6fbf, 0x05ff7dbd, 0xdc66502a, 0xdaebbdc5, 0x1e924f74, 0xe4b42d61, 0x33a72465,
+    0x1f6f5253, 0x645f6366, 0x9452e174, 0x2ea6d471, 0x754ab75c, 0x9c22d240, 0xa7fdfc2e, 0x73881596,
+    0xef144ef5, 0x5f4865de, 0xe7730c91, 0x5df4825d, 0xd9cd70ae, 0xb10e5d04, 0xa2030a23, 0xf88d57c9,
+    0xc54d2f47, 0x364bcf76, 0xe9cabaff, 0xb0eaec56, 0x092a3660, 0x09ddd29d, 0x7d1867f8, 0x1081555a,
+    0x03158cec, 0xb46639a1, 0x02091655, 0x382878fd, 0x91f7d3c6, 0xd685fbd7, 0x33135cf3, 0xa709e927,
+    0x1a8cfd1b, 0x34d42d8a, 0x9e827589, 0xedb1f57a, 0xbd1cda02, 0xbd5ab979, 0x25c03ebe, 0xc9e20c10,
+    0xd223eb5e, 0x354ecced, 0x23aaf87d, 0x9466637d, 0x4141bdb7, 0x35c5dd5e, 0x5018966e, 0x11286075,
+    0xb00f0bd4, 0xdcfead16, 0xecbcdb46, 0x49bcd4a1, 0x8b33073f, 0x11780408, 0x642a2ddc, 0x07718184,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000002993155353253689176481146537402947624255349848014848 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd96, 0xc55fe37a,
+    0x00000000,
+    0x961a6d97, 0xf96f12d2, 0x8c810d54, 0x91f022bb, 0xa585ee24, 0xacf1bab2, 0xd6e4ffbc, 0xe81f63b4,
+    0xe9be1c95, 0x5476bbfc, 0xf8f89497, 0x7e85c675, 0x949d616f, 0x64051e7b, 0xd11635cb, 0x7396db35,
+    0xee5864c4, 0x82bc5f54, 0x4bac9c7f, 0xe3cb3a56, 0xdd5ecae9, 0x9ece465d, 0xdb9c93e7, 0x8f7ae3fc,
+    0x2031a657, 0x44fbe95f, 0x04331068, 0x7e2b7528, 0x7f3605ad, 0x2f4d61ea, 0x1854446f, 0x8acdc1f6,
+    0xb75db693, 0x808fa4fa, 0x6643879d, 0xa4afc3ac, 0x3b433975, 0x7d772abe, 0x4e24aa37, 0x75bde212,
+    0x6d396623, 0x439baf6b, 0x906804fa, 0xb5ac5565, 0x5814b384, 0x7e4e7a85, 0xc17fd0a2, 0x7b4fa03b,
+    0x130e1f33, 0x52f4f84d, 0x4af75e17, 0xdcf68512, 0x44a57ffb, 0xeb6215c7, 0x4b8ddee5, 0xdbd1fffd,
+    0xf88ae600, 0x7a38155d, 0x97a16075, 0xc1c7b1af, 0x1fc44ce9, 0x89d81931, 0xf33b2ecf, 0xf8e6abb1,
+    0xd3b40a2a, 0x55bf5d41, 0x8469bb67, 0x13d10d05, 0x60cd1c6e, 0xa4fbb315, 0x099dd463, 0xfd96b834,
+    0x14f4e7e0, 0x76968a20, 0xd387e479, 0x7be9fccc, 0xc735f9f5, 0x54f6f1a3, 0xa136b922, 0x1f960a7e,
+    0xd6003565, 0x3d86439a, 0xbcbcc8e2, 0x47b1caec, 0x196ecbe4, 0x2e09eb33, 0x0d47321a, 0x9a10c6a4,
+    0x187cf6df, 0x51228bf7, 0x288e3839, 0x82908407, 0x2eb28d3a, 0x02632af5, 0x50517cf6, 0x3e562fe5,
+    0x22dc409a, 0x13abfc9f, 0x3de8e60c, 0x9e9826a3, 0x2905edc8, 0x5f3ae7fd, 0x183977a1, 0x28f37771,
+    0x92e3ca9c, 0x29c809c5, 0xcb5eef9a, 0x32327991, 0x86ae34c4, 0xc6d81470, 0x54d87ca0, 0xd324d9f8,
+    0x01ce0b28, 0x655d4170, 0xaaa1fc9e, 0x94a7be97, 0xfa1d607d, 0xadff26ea, 0xc4450851, 0x910645cb,
+    0xeaf6eae5, 0x3b3a1dff, 0xb53293bd, 0x849961ff, 0xf27b05fe, 0x96f28bd9, 0x15496512, 0x7a55ec6a,
+    0xc9795788, 0x85990583, 0x666164e8, 0xcf6ae5c9, 0x1a9a8cf7, 0xc4662184, 0x832da533, 0x43d1cced,
+    0x418a2347, 0x84cf30e1, 0x988ec743, 0x11d27251, 0x4bef2de9, 0xa51e8b4f, 0xe83053ac, 0x94323037,
+    0xff4fa63b, 0x34dd9a82, 0x385433aa, 0xa6e47f2a, 0xe2fa8fff, 0x23fd3bf5, 0x8f2467ad, 0xc9cefc0c,
+    0xb2bbe1e8, 0xb3c87d00, 0x81a23dea, 0xe66c17fd, 0x22a629ee, 0x58047aa7, 0xb7dcd3a8, 0x4cf966c5,
+    0xcbcd3f75, 0x40daa6e6, 0x6b053b2f, 0xb8d34268, 0x690a139c, 0x38cc538b, 0x00ac0f9b, 0x0e8f093d,
+    0xf3469085, 0x999bb0bb, 0xa9288cd1, 0x40b686cd, 0xd92ec267, 0x5210744e, 0xe0f1d4ec, 0xfc811f2d,
+    0x24d14f3e, 0xe919f87b, 0xe4211a95, 0xb535590b, 0x6a56719d, 0xa5e286cc, 0x1c6282bb, 0xcb0f82a4,
+    0xc6210d75, 0x3bcaa6c1, 0x6ff26ae9, 0xa59393e4, 0x54e77d7a, 0x49779aa4, 0xa2408199, 0x72ab1f49,
+    0x2c5997f8, 0x6c9f3c88, 0x08ad8914, 0xe243d00f, 0xc6b5732d, 0x3802cf27, 0x4e46cd1b, 0xa877f44e,
+    0x337be56f, 0xa0a69b42, 0xd77a0738, 0xd5446924, 0xf342acd2, 0xa17dc60d, 0x14a5a72e, 0xbad13af1,
+    0x3d3ca9a7, 0xf16a47ba, 0x48ad9cdc, 0x1c1a929a, 0x598ae5ab, 0xd9845704, 0xd7de9e79, 0x0c3975fc,
+    0x480dcc3d, 0x7e649842, 0xa858cb95, 0xdc9dc36c, 0x0c5150cf, 0xe83b337b, 0x72de84da, 0x871cc180,
+    0xd7886949, 0x7f438e73, 0x60d8e258, 0x30363b89, 0x8926ffee, 0x573edab6, 0xc55bc2dc, 0xe02b768f,
+    0x9c6f30db, 0x64fc66dd, 0xcf03387d, 0xc483d358, 0xd0cb8484, 0x9c7bf05e, 0x909ea5b1, 0x853edaf7,
+    0x8102aefe, 0x93af0fe1, 0xde208b6c, 0x7a22242a, 0xd3e33389, 0x9ade7f4d, 0x08caa844, 0x0465a2ba,
+    0xf591bd2d, 0x5d5683b6, 0x13160fa9, 0xdf45055d, 0xbf5fcac4, 0x35d358b1, 0x24ad5790, 0x7da2047a,
+    0x48e3d5f8, 0x02a6eb6e, 0x4e09c9a8, 0x2e6496fd, 0x5f32500a, 0xcfb9ab7a, 0x629f3bc2, 0x21fcf1db,
+    0xb4690950, 0x00d15489, 0xf15465c1, 0x32f91cf7, 0xcd92a663, 0x822687f8, 0x5cba8592, 0x48c84b5a,
+    0x08bd5c8a, 0xe7c22a56, 0xa9845476, 0x5b13ab05, 0x941cda55, 0x3ed0de06, 0x176af11a, 0x11672af7,
+    0x0d382be2, 0x92d45f65, 0xd988ce97, 0xdc3ecd23, 0x13c81a48, 0x72def928, 0x32c00019, 0x713edeac,
+    0x9d782cb0, 0xe19a6ef4, 0x586e6f39, 0x884228d2, 0x8aa6e1e5, 0x50ff5f30, 0x2c8b2b0c, 0x9098021d,
+    0xfc461ee7, 0x528a5af9, 0x7293d58c, 0x5f5eebbc, 0x93d514a1, 0xb7c8e29b, 0x3237b6fe, 0xc2ffef90,
+    0x06e155e5, 0x5de87d37, 0x1ddfeba8, 0x914a38df, 0x7e12733b, 0xd1f38cf6, 0xf2b57667, 0xf3e249ad,
+    0x86987133, 0x035dce81, 0x0f775986, 0xbde0bb20, 0x482fc1b2, 0xd5b1aac2, 0x512c27ac, 0xf591b3b8,
+    0x8aba3f95, 0x2b5ac784, 0x51cdddde, 0xb1fcd507, 0x5ced61bc, 0x049e9245, 0x134766c6, 0xca7676d4,
+    0x2cfbff77, 0x9e451290, 0xf65147d5, 0x97310ba0, 0xc301d938, 0x3cc93f35, 0xd3fc64dc, 0x5ca380bf,
+    0xe82b5521, 0x4d2c13e9, 0x24f514a0, 0x1898a76c, 0x8e3503f6, 0xf1962b78, 0x2129723c, 0x8ea56540,
+    0x065310c3, 0x5a32f551, 0x114dc935, 0xd1b1153f, 0xa35a3eaf, 0x1bd2043c, 0x54cf2c8a, 0x33d7550f,
+    0x876cb257, 0x9e7b94d1, 0xcb4193e9, 0xfcba1ad9, 0xdc14d9d6, 0xd37a062f, 0x32abfd2d, 0x4258406e,
+    0xd1634dc0, 0xd1726f63, 0xeac025ee, 0x7703a95a, 0xa0b7ee16, 0xe6128644, 0x59edf471, 0x41011c5b,
+    0x15e19147, 0xfc69e721, 0xd821569e, 0x31526897, 0xf457665e, 0xcfaf17a1, 0x7525bf12, 0x2c157c5d,
+    0xfd419c96, 0x07dcf9a2, 0x19ba20a9, 0x4011be61, 0xe9315629, 0x81d47778, 0xec85197a, 0x18dae523,
+    0x5e8fccba, 0x9226995a, 0xfb1c2f27, 0x325a224b, 0x9884ddfb, 0x52be6870, 0x3c68caca, 0xe4bf4967,
+    0x14f75c30, 0xdea68b14, 0x594f8ec9, 0x2f0c0748, 0xd404f128, 0x869805ec, 0xac429265, 0xbc03d25a,
+    0x8c3f294e, 0x8d3b81f1, 0x0b2125c6, 0xbcc8f8fd, 0x42149255, 0xe72c4780, 0x948cce53, 0x18a79ef6,
+    0x1415e25c, 0xe3572add, 0x8a500c60, 0x49439295, 0x1dd90b82, 0x1d149f7a, 0xaa6a8707, 0xb6378212,
+    0x6755f494, 0xaebc00d5, 0x86600286, 0xc8e253f5, 0xbf78a834, 0x27677f8b, 0xdb2959e2, 0xeb353e9a,
+    0x39192c60, 0xb5c58f3e, 0x155d0da7, 0xc7175e99, 0xf2809919, 0x7cad949d, 0x0aeab266, 0x224989f3,
+    0x2737d094, 0x84476a31, 0xaac51380, 0x62f70cb9, 0x6e99450f, 0xa057eecc, 0x838f41ef, 0x6232d03a,
+    0x626c078b, 0x151258ca, 0x07a3dfae, 0x1361ae95, 0x43317635, 0xf058bb7e, 0x940e2fcf, 0xfcc28a08,
+    0xec3bde59, 0x1c975a19, 0xd7f058e2, 0xa8ce9ac0, 0x3787bd04, 0x2742e4d3, 0x34542084, 0xacf35944,
+    0xb7c70cd4, 0x25d4558a, 0xb11ae0b9, 0xbc28d8da, 0x6707a0ea, 0xabec3959, 0x6f8080fd, 0xda20e08d,
+    0x3a2ac3e9, 0xd63f3497, 0xd1c69d92, 0x9a1b4fd3, 0xbc507418, 0x60955074, 0xc5c41689, 0xdb0ada78,
+    0x8ee005e6, 0x97ae5ca7, 0x5cb4f19e, 0xdeb3fa04, 0x8d13c8d7, 0x353cd360, 0x143dc172, 0xa0e17e5e,
+    0xd57ae167, 0x14fc935a, 0xebae924e, 0x64505d1d, 0x84ac0883, 0x7b4b46aa, 0x52977b5d, 0x78945b04,
+    0x977fc55c, 0xbd3cf445, 0x00314aed, 0x208d63e3, 0xa0a746d4, 0xa6a999c8, 0x63ffac43, 0x969ac343,
+    0xb51362b0, 0xfdb494c5, 0xdf331502, 0x87628b14, 0xdd684de9, 0xac33ca73, 0x5b87c947, 0xe3550649,
+    0x7b1cc6b0, 0x883d5174, 0xfafdb0f5, 0x23a01ef8, 0x63f30100, 0x83f7f994, 0x08ee2717, 0x83029c34,
+    0xf44fa2a6, 0xf2f48dbc, 0x350616e8, 0x217f824a, 0x8f2769ce, 0x2148bb69, 0xd3cccad8, 0xa906daa1,
+    0xdcbc5942, 0x9fd8c059, 0xf24a17dd, 0x80dbb00e, 0x43a256a7, 0xc59af24b, 0x64bf1c99, 0xe0cd4e71,
+    0xccb74567, 0x9d07ea5d, 0x7487afe7, 0xf6fc0d8a, 0xe6fe46dc, 0x972d5355, 0x7d1e9bbd, 0xd4378aa6,
+    0x624e823f, 0x34da3631, 0x15254b5f, 0x858c4e5c, 0x8192efc2, 0x8e0a90f6, 0xcb22be57, 0x81e7437e,
+    0xda34c16e, 0x21374e3f, 0x7861ec1f, 0xc3e681ff, 0x9ca23baa, 0xf5176b48, 0x8c143463, 0x0de28d44,
+    0x9f77e1f1, 0xc2085234, 0x7e682e32, 0xb9d04a0f, 0x55152534, 0x8faa2e6e, 0x0d59f93a, 0x55ef3b12,
+    0x84afed33, 0x7f9b65cc, 0x6fee9af3, 0xd2b98f66, 0xf3ee967b, 0x82bfb1b9, 0x2e6af4af, 0xe9f15c1d,
+    0x536a8004, 0x782da9b4, 0x35586c4f, 0x5c0bbd07, 0x19e5c205, 0x237e4be9, 0xfb5b305d, 0x6b8242d1,
+    0xfff59db5, 0x4a443071, 0x26d7afd3, 0x2f9d872b, 0x635f4ff6, 0x03f4f1fe, 0x0f73d238, 0x35ca5eda,
+    0x90427430, 0x7b7ed06a, 0xaba020cc, 0x85a973ce, 0xb8a3d3f7, 0x3ed44b1b, 0x33a74387, 0x724787c7,
+    0xdc6012ac, 0x6672cd61, 0xfa79c878, 0xdb80538a, 0x4a2095a7, 0xc4ed2a74, 0xd5658cc4, 0x16e87b8a,
+    0x3ec9e995, 0xfd34663c, 0x1fb353d0, 0xfdd5b27d, 0x077c4a16, 0x26638aa8, 0x4d80d505, 0x3aa9bbba,
+    0xecf7ced2, 0x80cc2568, 0xd6abddb0, 0x532a0951, 0x26e68108, 0xdb80b012, 0x38494932, 0x690eb137,
+    0xfe6897ef, 0xb9be06d8, 0xfe8c8537, 0xcbdb1a13, 0xab823ef4, 0x9115480b, 0xf400fcdd, 0xff42bfa8,
+    0xe26ca822, 0x97d3a3fd, 0xb03f9a18, 0xfa0688cd, 0xb1702623, 0x739325c3, 0xe88c6992, 0x7787b775,
+    0xa3c0b856, 0x825a6340, 0x14cdd44d, 0xc5a377a4, 0x4065f58c, 0x420b4f32, 0x0d7ee098, 0x8d449eae,
+    0x539596ff, 0x9a90a2c1, 0xd9378e9f, 0xec87b1c0, 0x5ca5fc69, 0xe9419543, 0x3d8939d2, 0xc7a04f6f,
+    0x00e6a03f, 0xa8204d43, 0x401f849c, 0x8d9007ec, 0x56f53c9d, 0xbb9057ce, 0x9136b223, 0x5d859f58,
+    0xc4782a1d, 0x5c72ea6a, 0xfb4cc533, 0x21bb9a63, 0x09e705e1, 0x11789613, 0xb0a4ed66, 0x16feb999,
+    0x1ed93556, 0xc5f5ba16, 0x9f2ffa6f, 0x2529e8f3, 0x30ca3b66, 0x24b57465, 0xfb7976f4, 0x67f17dbe,
+    0x878933ea, 0x96679176, 0xa6ff8fc2, 0x1e00e3f4, 0x20adaaba, 0xa81d58ea, 0x6ed8294f, 0xf74258bd,
+    0xf6bf66a4, 0xa841a4ec, 0x3bad1965, 0x1e3c78dd, 0xc7f62f8c, 0xe93fa232, 0x18a69516, 0xa9cfd80d,
+    0x4dfa0e67, 0xacd0d518, 0x290bd6ef, 0x50275b06, 0x2982dd66, 0x70b4f973, 0x4ead01e1, 0xc4c13f65,
+    0x604d4098, 0x3465d7e6, 0x53340138, 0x8300fae4, 0x65b1ce9e, 0x1b7d88d5, 0xeaace1b9, 0xf0c449a2,
+    0xe45823c4, 0x764fb888, 0xa87d4135, 0x8eb3e7b2, 0x4885484e, 0xba00b1f7, 0x079dd51d, 0x582eb5d9,
+    0x998cc4c9, 0x62b3ab92, 0x19463f91, 0xef1106ac, 0x6cc6cfab, 0x1f83d5f7, 0x49ac0768, 0xf1c44bf6,
+    0xd3e95778, 0x4c43f7b0, 0x578f3fc7, 0xd4dbf403, 0xfb81a995, 0x29b9a20c, 0xa4aacb78, 0x979881b7,
+    0xd3039cbe, 0x2dc97116, 0x9fada55d, 0x5c775f8b, 0x4ddab205, 0x56d1aa73, 0x4b695d2c, 0xfe106828,
+    0xca2135c8, 0x115ab629, 0x3b1da10d, 0xec1ff040, 0xca2a4db5, 0x49c3ecbf, 0x85d8c116, 0x11ab6f4e,
+    0xaca32df7, 0x517fc381, 0x3fcd896e, 0x1b4eec48, 0xe9fd3ffd, 0xc1da353b, 0x126af0cd, 0x3c2c34ed,
+    0x4a000e76, 0xa2ba5057, 0xe2d3176a, 0x85fe8f57, 0x70b19d0e, 0x8fc701c5, 0x63dc52bd, 0x0bf546fa,
+    0xa6543e08, 0x5ce5d333, 0x0ab61bb5, 0x9a224074, 0x72aefe1d, 0xa9f84f32, 0xbfb4515d, 0x7d7467a6,
+    0x3122a04e, 0x556bb35d, 0xfd41c8c7, 0xb7cefb52, 0x804f8030, 0xd52f3a8d, 0x58f36e11, 0xd0bdf7ba,
+    0x18a6f4ea, 0x2da9eca7, 0xe1304c16, 0xec0c5edd, 0x45da1b01, 0xe03816c3, 0xf2697128, 0x28a1d07b,
+    0xb9061aa4, 0xb90de81e, 0xa9810dde, 0xdc763fd6, 0x66aafa03, 0x45c77ff3, 0x9537e653, 0x01ceda45,
+    0x8a4513b6, 0xaf7b183c, 0xd6809862, 0xcc9c7dfa, 0x0ba351a3, 0x1cd7f200, 0x99eaec9c, 0x082159f8,
+    0x3a55a650, 0x0d8dff2f, 0x4f63b6ef, 0x8ed794a4, 0x2de0a244, 0x16b80b0b, 0x4daf373f, 0x508b5d60,
+    0xd9732b9f, 0x87fd7f37, 0x6df816ae, 0xb81cf771, 0x232c9600, 0x726c3b72, 0x258f6ac1, 0x1a4d4102,
+    0x18f110e3, 0x07d21929, 0x22bf3d8d, 0xb472b105, 0x608462d5, 0x75c594d5, 0x44b2b464, 0xce78addd,
+    0x24b3d152, 0x3393ea44, 0xedf20b31, 0x64644055, 0xa9b704b7, 0x63e0ed4c, 0x71534452, 0xd49f6b4a,
+    0x591af192, 0x9dd17528, 0xf24e8202, 0x5a2fa0b7, 0x618e1648, 0xdca76eb1, 0xd084e1d2, 0x5dbe69ed,
+    0x05e5c505, 0xec2b1d02, 0x997a1bdc, 0xda255d5a, 0x7e0fdd2d, 0x146a4d85, 0x5aa3a54a, 0x7e72b9ec,
+    0x14996b9e, 0xdb701ad4, 0x5ff6bc06, 0xc49bbddd, 0xc913d370, 0xe01678d9, 0x7604d6be, 0x3b8f7c9f,
+    0xada1141f, 0x2b7ad290, 0x7019107c, 0x22b401f6, 0x15016f8f, 0xe2bc0415, 0xd7c17cd8, 0x098bd8c2,
+    0x5edd743d, 0x409df17d, 0xeebbd0aa, 0x632ea233, 0x2070c832, 0x819e8704, 0xc8ff48ee, 0x5b73c55d,
+    0x70d278f1, 0x21b5f55d, 0xd404186a, 0x7dfa1666, 0xc981a3c6, 0x12e3e5e8, 0x680fd4b8, 0x081a69ba,
+    0x56c9393c, 0x7e8e6620, 0xae0ca285, 0x0c75b706, 0xbb7af761, 0xeb4eb778, 0x227e890c, 0xd22e58e6,
+    0x9b33adf5, 0xba8d8e73, 0x1a17f4c9, 0x7a2d698d, 0x73d250a3, 0xa3c6825e, 0x1d10fd90, 0xb966384e,
+    0xa3f7d635, 0xe1b76e38, 0x9c2d3af6, 0xc25efa2b, 0x917c26af, 0x16e05bd4, 0x1a47cc29, 0xa73e192c,
+    0x01ed64ad, 0xed72b7f2, 0x5f860d41, 0x8e7ad439, 0x4dea1436, 0xc951298f, 0x89c62b3d, 0xa062d430,
+    0xb4a5d495, 0xf44f3b34, 0xb8936056, 0xc67a6b87, 0xd9c3423f, 0xf0380470, 0x95f65d71, 0xcbf6d22a,
+    0xf7d9da6b, 0x48e23185, 0xfbd8f0f1, 0x4e340338, 0xcf5740d9, 0x4bb8e662, 0x600a3fdd, 0x4f2c5f3d,
+    0xf0eb9388, 0x4845a42e, 0x63da0122, 0x0ac01c29, 0x2a1e7126, 0xda90c6df, 0xbc9e00e5, 0xebf1d1de,
+    0x0535f774, 0xae7a5082, 0xb7f82908, 0x0dd04b60, 0xbee27402, 0x730f9a56, 0x8aa991eb, 0x1593855c,
+    0x387bf46f, 0x4ba70b4d, 0xb7288107, 0xba41b40a, 0x13e25481, 0x1ccc5ff7, 0xd46c2992, 0xa4429c4d,
+    0x20a22dcf, 0x21f0263a, 0xb3dc1a5c, 0xa7292752, 0xd4e2338d, 0x24e23170, 0x7ac528e2, 0x90140b3e,
+    0x597c61e5, 0xd66486ca, 0xa7bdc277, 0xfae4f734, 0xf318b031, 0xf5f25793, 0x918241ae, 0x000cab20,
+    0xbfff57a6, 0x8fa4200b, 0x1fa6530b, 0xe41e56cf, 0x84e1eef9, 0x7899039d, 0x77e4fc62, 0xc8ed608d,
+    0xcff7c392, 0xd89401f7, 0xcdaf3e47, 0x63668e0f, 0xd6605fd5, 0xa85f4c94, 0x7a117bd9, 0x0b79f6b5,
+    0x68fe0fce, 0xf550e14f, 0x632ac385, 0x5aab9bb0, 0xb31d0aaf, 0xccbbf07b, 0xc6ed1e9c, 0xe8d260eb,
+    0x626ade58, 0x92247847, 0xd92685c3, 0x7d4a6c97, 0x7999cb3c, 0xcf69a105, 0x9fe9d565, 0x1ab77183,
+    0x488c2576, 0x0e0a679f, 0xe0c9b97c, 0x57af70cc, 0x9b43c6b6, 0xd5bbbaa4, 0x550c32e2, 0x1b97b34d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000001496577676626844588240573268701473812127674924007424 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66cb, 0x62aff1bc,
+    0x00000000,
+    0xc406cf4a, 0x3065b5bd, 0x14c1ea51, 0x1839b6e8, 0xdc182a55, 0xe472b746, 0x711bd5f2, 0x01b408c1,
+    0x2fec7bbc, 0x65843321, 0x76f6bc90, 0xd20f55bf, 0x0a4ec776, 0xe9309627, 0x22bc23f4, 0x9d189f86,
+    0x00936b4f, 0x4dce7e27, 0x5117bcbf, 0x5804ea1a, 0x2739889c, 0x21715574, 0x0dd7a937, 0xbbabce5c,
+    0x096dfca9, 0xdf5c45c7, 0xb186415b, 0xf61662c0, 0xc0516fac, 0x919d7ebd, 0xa39826e2, 0x905f8b08,
+    0x2c713e22, 0x085a8fe1, 0x4242ab94, 0x9ebc422b, 0xd70af4b2, 0x636e14b5, 0x816313fb, 0xc2a59b6d,
+    0x1a608cb8, 0xe892fa2a, 0xba923e49, 0x6e99a27d, 0xc07d30a5, 0x1f8fc1cb, 0x9c38e598, 0xf3c242b6,
+    0x94761dbc, 0x97fe1160, 0x06a9d272, 0x62e234f9, 0x8c2b4054, 0x637ad887, 0x22c90c6f, 0x4a565a53,
+    0x6dae6261, 0x78d1a48c, 0x33e80ddb, 0x866993df, 0x8c8f4aa4, 0xe83ad537, 0xc9e75b9d, 0x93d29834,
+    0xe8509a7d, 0xcc70036d, 0xfc7b244a, 0x0732b326, 0x827694f2, 0x04b2c922, 0xb0714fce, 0x07be56b8,
+    0xe726c86c, 0xd358511d, 0xcda1ec7c, 0xf446470c, 0xc509905a, 0xc010677a, 0xf7a1b8ed, 0xd8e29cad,
+    0x710e3cfc, 0xf64fc214, 0xf5c75286, 0xd1102919, 0x23744234, 0xac3a778c, 0xeb3eed38, 0x206f0ec1,
+    0x722a7b9c, 0x27838aa5, 0x73a67e00, 0x6fe1389e, 0xc5fd5ccb, 0x99f6dd02, 0xfc72d685, 0xba8e08fe,
+    0x335a94e8, 0x4c2b7f8f, 0x8125c372, 0x7b7311ee, 0xf3d39ea3, 0x306ad508, 0x3a1aee01, 0x79c1fbb8,
+    0x59d1c704, 0x5b99f566, 0xb9a0d668, 0xe81f353d, 0xd9505380, 0xa881c408, 0x549a7b14, 0xebb0f3e6,
+    0x42b57e65, 0xa1bd6513, 0x14859edf, 0xa0fad27f, 0x3930a8cb, 0xd4dab6f4, 0xeb805b55, 0xfa87f120,
+    0x9a95c3a7, 0xb0b1ec47, 0xa88d5eef, 0x85755db3, 0xa2dab5c7, 0x09979763, 0xec9fec29, 0xc37d2975,
+    0xe8782a83, 0xca860f4e, 0x3d884cb9, 0x4564ae84, 0x17c8a4c9, 0x504ff875, 0xdaac041f, 0x3e139dc8,
+    0x31c44a1a, 0xbb73c117, 0x6441361e, 0xf23adb13, 0x32e0b5b7, 0x0c98cb38, 0x7e8e1085, 0x20bcf672,
+    0x25cd2d9f, 0x4b6af43e, 0x5038ba62, 0x02b505e6, 0x340cfd23, 0xc22fe409, 0x14651955, 0xd0250fbb,
+    0xcc825216, 0x04c989fc, 0x97b9002b, 0x836847a6, 0xd57b3504, 0x651c7619, 0x119c3ed4, 0x254eee74,
+    0x262e8bfa, 0x95f25067, 0x92c0b2f9, 0x5063bad3, 0x877e88a6, 0x7c734ed7, 0x4e218286, 0x77f426f7,
+    0x81e51ac0, 0xa9d2feb8, 0xcd7edf68, 0x7202eb7f, 0xffbc2ed1, 0x91348974, 0x0c652b3d, 0x019c755d,
+    0x8c0829d7, 0xa6ab5f78, 0x80de50a0, 0xf095e954, 0xfb5c804d, 0x3095db5a, 0x599c1e63, 0xefd39ac8,
+    0xf604164a, 0xe4328196, 0xf94601d8, 0x8bdc6a22, 0x3baeb1d3, 0xc5a0dc56, 0x6b2569cd, 0xe7d2dd34,
+    0x093b4f03, 0x75ddab3a, 0xf012b076, 0x8b996fd7, 0x5bd11e75, 0xa4446f6b, 0x3d801a22, 0xe0acbee2,
+    0x22d1f104, 0xe4e511cf, 0xd5a89f88, 0x605f8f61, 0xea93c9eb, 0xd6eabff5, 0x53252aa7, 0x1cb49c8b,
+    0x56171f9d, 0x4669cabb, 0xcd530856, 0x73961e10, 0xdeb28ea0, 0x6ef27ab8, 0x83478852, 0x89a82109,
+    0xf895adf1, 0x01871e2c, 0xdc19bc2e, 0x325475e0, 0xa059ca5e, 0x978ecf61, 0x111f81c2, 0xba5d86a7,
+    0xc0338e92, 0x1165a717, 0x8ad027ca, 0xb454f183, 0x1e198852, 0x97e2a819, 0x1f2eecc0, 0x59cf3882,
+    0x306dab65, 0xa89f42f0, 0x374e7370, 0xaeba68e0, 0xf1ebee51, 0x56ece72a, 0x0f611a04, 0xcdaaa29e,
+    0xbb690682, 0xef4e1230, 0x3e39ad89, 0x10fa4278, 0xe6773f62, 0x280bc105, 0xdb508fa9, 0x97bca64a,
+    0x6b537e32, 0x2dba431e, 0x158699d5, 0xab317da0, 0x623e24bc, 0x3ead081c, 0xcc6c1102, 0xbe30c65a,
+    0x224a365a, 0xaa0f1efc, 0xec631f50, 0x95090d83, 0xbbbdfa13, 0x81b46d74, 0x832c41ff, 0x1529edb1,
+    0xf8c755cf, 0xcd97a080, 0x72dffae7, 0x5d1def00, 0xa1d1a220, 0xfbe38c51, 0x27fd38cf, 0xd4d3b5db,
+    0x2945aedb, 0xbba74300, 0xb0424514, 0x6a516eac, 0xd405b8d4, 0xf2528371, 0x072ef2e6, 0x6db5f151,
+    0xadcd470a, 0x632d116f, 0xe1597d92, 0x53096f76, 0x1925d02e, 0xe5708711, 0x59e68a94, 0x5c1b85a7,
+    0xcd749d7a, 0x56cf1b62, 0xcde36607, 0xbf84ce44, 0x6f18ec73, 0x66f6e599, 0xce7892e6, 0xc8092d5b,
+    0xf5c19c02, 0xd6c668cf, 0x9fef8e86, 0xd45415a9, 0xbce6f1d3, 0x3a4d6f3a, 0x208d9623, 0xf80d1f7c,
+    0xd5413972, 0x6e2b5cb4, 0xba4b49c5, 0xeaa4d6e6, 0x11094cb5, 0x6cd5e55b, 0x62007ada, 0x105945a5,
+    0xa27a2f4f, 0x81b56f21, 0x5b16a2d1, 0xa88e2106, 0xa9859ea8, 0x6bb35d41, 0x8bf8ed6f, 0x38b86507,
+    0xcf40dcb4, 0xe955dfbc, 0xa17cdd9a, 0xc3477c60, 0xd1e4bddc, 0x0565122d, 0x2d84811b, 0x7390d2ab,
+    0xae1700b0, 0x653d5276, 0x167eae9e, 0x711d671b, 0x3cc3ea25, 0xcd354f46, 0x7504d49e, 0x08b0c4f3,
+    0xe70a237b, 0x22f2ed2d, 0xd8b66980, 0x20d26821, 0x3ff9eb92, 0xe730b569, 0xb749d285, 0x1b37fe6a,
+    0xbe553e37, 0x1a274de6, 0x55e571d3, 0x9db03919, 0x90de6499, 0xc5d534b3, 0xf262911a, 0x409f1dbe,
+    0xa753135f, 0x89bb952e, 0xf12eed89, 0xe6cfe768, 0x70b50dba, 0xe00f0b74, 0xa2d27172, 0x3a5eabbb,
+    0xc7692985, 0xcc174e89, 0x41fc5052, 0x078cdd8e, 0x4567e6f2, 0x83920adb, 0x87b79804, 0x506dad65,
+    0xa81f6075, 0x40b78de5, 0x1acc1062, 0x8d11bd49, 0x770c3951, 0x8ff3d15c, 0x209bf117, 0x0d5b575f,
+    0xdec7f25a, 0xa032ee28, 0xd9522ec1, 0x3f887862, 0x266528cb, 0x0e54b5fa, 0xa12943d2, 0x3afaffa4,
+    0x23fab59e, 0x1a1380d4, 0x6ad03c40, 0xd85a1b85, 0x2b64a202, 0xdec22ad8, 0xd6b60d47, 0xf5ca5dff,
+    0xaafa8b93, 0x591643df, 0xb9124607, 0xb418e90e, 0xd1cbabe7, 0x4481b91b, 0x5596fa85, 0xc8a281af,
+    0xa164adf3, 0x95b74528, 0x5d3b8dcb, 0x1f0c48a2, 0x427687e9, 0xe7301003, 0xa1b660b8, 0x04c1256f,
+    0x8d3fea50, 0xda0a70d8, 0xf51624f1, 0x3d13db46, 0x9657c5dd, 0xf575620f, 0xf3edf9a3, 0xc75b54bc,
+    0xba69cd30, 0xd44ea908, 0xe6069cb9, 0xed01e5da, 0x2a45fccf, 0x460c3c34, 0xa94f7da9, 0xb59aa6a3,
+    0x0bc5f1c4, 0xfc0b3435, 0xb6e4bfdd, 0x36f9a3e2, 0xfda4480f, 0xc290c42f, 0x6e2963fd, 0xd807c0ac,
+    0xf20ca48f, 0x252636d3, 0x7ac90ae3, 0xe5f03859, 0x9cc66675, 0x3fa8d0dd, 0xc619280b, 0xebe1cd5f,
+    0x3ffc1822, 0x7863da89, 0x656e9690, 0x16a4c115, 0x34a8d15e, 0x3ddae0c8, 0xef4b7d69, 0xcf101061,
+    0x094445f9, 0x3250dc99, 0x673bac4b, 0x89b5f958, 0x5852442a, 0xb63f2c48, 0xdb3f3959, 0xf4cf2aca,
+    0x03cda20f, 0x6e48243a, 0x7220f0d9, 0x7267153f, 0xd5b74836, 0x454c90e1, 0xb13e7fbe, 0x2c4f1f56,
+    0xcf206741, 0x0ad490cd, 0x540f25f2, 0x37737e9e, 0xf0022a52, 0x1e9955e3, 0x84a4fdab, 0xee491393,
+    0xd254910e, 0xc716ae6d, 0x400198bc, 0x449e06ef, 0xec609cd3, 0x28da4325, 0x008657b3, 0xbee2c814,
+    0x45c6a8f1, 0x08d8eaec, 0xf0936ffd, 0x6583c835, 0xc581d343, 0x0e07a402, 0x9843ac32, 0x0e6f5487,
+    0x79da5b70, 0x7b5568f2, 0x74d7f0eb, 0x4cad94ef, 0xc1976e24, 0x498aaf67, 0xf056e08e, 0x19e35b58,
+    0x612dc2e7, 0xa71e23af, 0xb14923f1, 0xdecb4013, 0x4b9c7310, 0x0420ac17, 0xc6de2175, 0x33cf2714,
+    0x86d22fba, 0xa586f096, 0x4282adac, 0x34a6ffeb, 0x63f8e37d, 0xcfffc718, 0xc1ad41ed, 0x82364b85,
+    0x2d06789a, 0x24861e4c, 0xbe2698c1, 0xe9b251bb, 0x50a83b9d, 0x4ef21ac2, 0x6798fcf2, 0x94a66891,
+    0x9fb0fa37, 0x07dcbcf0, 0xb57cde4e, 0xc9c8467c, 0x5fc208a6, 0x17eb1018, 0x7e974528, 0xce3fe118,
+    0x406824c0, 0x69cb3c6e, 0xcabfcca5, 0x92b2f873, 0xc5276e42, 0xa229405f, 0xd6d7fc3f, 0x686e833a,
+    0x93a5a954, 0xe783e2b8, 0x4562b72c, 0x6671f46b, 0x62eaa23d, 0x79f5e49b, 0x1fe3055a, 0x2ec00240,
+    0xd081c6f8, 0x36f3e38a, 0xa7e74353, 0x99a58c84, 0x1c125ec2, 0x8cf0b045, 0xcf4d5c77, 0x312a35d6,
+    0x2a8291d9, 0xd698c34f, 0xa619c7c9, 0xbedcd12f, 0xa8bfec54, 0xfab58209, 0x6e2e11cf, 0x44141c32,
+    0x422d8159, 0x42d9d2ed, 0xe6a60cf7, 0xc68413b4, 0x0dc3d991, 0x28e65265, 0x903fad24, 0xa49886ee,
+    0x9e4e4dfc, 0x8f984fc3, 0xa3bcfcfe, 0xe25b758b, 0x3126ac0c, 0x22670107, 0xe0e9ca6b, 0xcc600b89,
+    0xeaa9fdf9, 0x1fd36fdf, 0xeb1f82af, 0xbc3fcc40, 0x23ff4143, 0x274f35b8, 0xa5785939, 0x5c936436,
+    0xda6d1379, 0xad982420, 0x55330109, 0x7cb543ac, 0x068bb8c5, 0x8b9dfa37, 0x8024bc73, 0xa8afcbc6,
+    0xb42e4a9f, 0x0c89bd73, 0x03c7d4db, 0x97386bc9, 0x53dee974, 0xc32aefb2, 0xbf38e219, 0x25912ab5,
+    0xbba474ff, 0x6d5df27b, 0x0051d36a, 0xd34822cf, 0x86dc554a, 0x5f6d5977, 0xc3e8c2e6, 0x96989ef3,
+    0xa791600d, 0xf7d01b44, 0x8de213af, 0xd8b2dfbd, 0xe6db8fb0, 0xb93b6068, 0xae99994c, 0x1cb9c14a,
+    0x8639ff14, 0xcc191aea, 0x40e6f73a, 0x0801c190, 0x41cb1776, 0xcbbb1ad3, 0x935a8c1a, 0x2c59689e,
+    0x3059238a, 0xda7d94f2, 0x82767910, 0x65abf7d3, 0x007e512a, 0xcc16dd23, 0x08a69c26, 0x020ee6a3,
+    0x8f63d7d8, 0x3105ffb6, 0x3bba8037, 0x4d434bfc, 0x9066e7a4, 0xcf6724d8, 0x700982c2, 0x798a3354,
+    0x4d7dfb3c, 0xf4956cb8, 0xc8bcedd9, 0x0431e584, 0x06a49530, 0x7db7f2d7, 0xd61aabd7, 0x7945f014,
+    0xca460e36, 0xf8a8e67a, 0x4001cb01, 0x0ea5c36b, 0x86111a92, 0xb59f533b, 0x2c29bab0, 0xf055ef84,
+    0xdaba8280, 0x7766ee60, 0xd95465da, 0x28638377, 0xfa3da503, 0xc2e406b7, 0x14584c9d, 0x46ff3ba5,
+    0x9ba80995, 0x2f16c8fe, 0xa0c2dfd1, 0xb88fdfd2, 0x1a6fd63c, 0xe87ff140, 0x9064f79a, 0x00c76e8f,
+    0xbb7cd036, 0xe1e3771d, 0xafbb5535, 0x84992cb1, 0x8806ce9c, 0xed6ca49a, 0xcdcbce26, 0xa434e0b3,
+    0xf903d0a5, 0xab7d702d, 0x7a6fc6f3, 0x8cb38c4b, 0xe09b4b91, 0xb6e5e35a, 0x80de85e0, 0x89018b03,
+    0xa8e13f39, 0xe65f2586, 0xa6b60b4e, 0x65cd72a6, 0xa3e1ae93, 0x6d531442, 0x983ba047, 0x02d4ebd0,
+    0x3a793a62, 0xbffcfabc, 0x589cec5b, 0x5c7c91da, 0x2a334be0, 0x5bcaee78, 0x342e861c, 0x6d368035,
+    0xcd92155b, 0xb55656d8, 0x4fe619cb, 0x44d9bbda, 0x32a8fd6c, 0x31f231e2, 0x27d1c3f6, 0x0f6201e6,
+    0x6c93adf6, 0x25b3b228, 0x771629e4, 0x4c455da5, 0xf340cf36, 0x75bd1b96, 0xf412f07b, 0xc7a9154b,
+    0xf9c15760, 0x0b549360, 0xfb6d9d12, 0xa5eb4c09, 0x52e61036, 0xced5f224, 0x4f1ffdae, 0x8fbef2ba,
+    0xe7e331f7, 0x6afcab85, 0x4357b687, 0xed5549b6, 0x03abd707, 0x04bb28af, 0x6844f9d2, 0x7e0ee57b,
+    0xceb79bc6, 0xebcb5a36, 0xa80b14d0, 0xd9b8e3c3, 0x98efd112, 0x1be39c6f, 0x279225f1, 0xd56afedd,
+    0xae7fb105, 0x8cc48208, 0x182db5bc, 0xee4d9a9f, 0x601872ea, 0xa6b0670a, 0xaee74291, 0x9aa6fad8,
+    0x19108284, 0x4a1b2f58, 0xe9f497d6, 0x3be0deab, 0xaa455aef, 0x14da8fb8, 0x07f575e0, 0x2256a65f,
+    0x77e9995f, 0xff67991b, 0x240e9dfc, 0xe4e0bf23, 0x846fa4a9, 0xc27e9dbf, 0xdd3aaed9, 0xe96c9b8c,
+    0x24a6b66f, 0x19d0f814, 0xbc1c9250, 0x363dda16, 0x2e18e28c, 0x630d4cd8, 0x07ca075c, 0x704c1adb,
+    0xac8efb1e, 0x619fc589, 0x4ca85da7, 0x134fab68, 0x909f74bf, 0xfb599067, 0x84852330, 0x87f9ece0,
+    0x04f86940, 0x3663c103, 0x2c29ea9c, 0x70b1c55b, 0xd54dea1a, 0xdf4ed4a3, 0x72c791b7, 0x8d7d84a6,
+    0xb63c15d6, 0x0082b3cf, 0xab831bd1, 0xdabb5e20, 0x1bc03d96, 0x4433d288, 0xab7732b8, 0x9112307b,
+    0x41160646, 0x68b13dd8, 0xc042485d, 0x78dae752, 0x16c9831b, 0xaf3a1ff0, 0x3dfbeb7e, 0xa2bb9bef,
+    0x0a45facb, 0x9b26ec3f, 0x6c8ef7d9, 0x83dd4267, 0x93e8e2a8, 0xe1ca6978, 0x138ec92c, 0x9fc5c687,
+    0x9b2887a6, 0x2b413503, 0xb93d50a6, 0xca41a975, 0xffd00412, 0x08c5793b, 0x6fe2ae15, 0xe7b69d8d,
+    0x4dc05084, 0x48c986cb, 0x6b96ca85, 0xaebdc879, 0xeb9c26a4, 0x5627b975, 0x3442cac5, 0x350a2216,
+    0x25f20df7, 0xe81d6c15, 0xf0f2fb68, 0x51acd4ed, 0xd7c536fc, 0x71a7b03e, 0x614e5742, 0xde7ea944,
+    0x1387e73d, 0x02336491, 0xe94dcbd4, 0x560ff16f, 0x134a35ed, 0x64dd7486, 0x87329d62, 0x2af6c007,
+    0x46480e3d, 0x280a186d, 0x65ba8ac5, 0xedb5a607, 0x70a9f4fb, 0x30e92b92, 0x33daff86, 0x869c2656,
+    0xc5e6cdb2, 0x09d038b3, 0xc8d9c357, 0x82ade2fb, 0xfa4944e8, 0x1c59721e, 0xdf66f271, 0xade75cc0,
+    0x65baea92, 0x755eff66, 0x75e05223, 0xdb3dfef6, 0xc0f50f25, 0x6137e99c, 0xc408a3da, 0x2d0b9f08,
+    0x92f9f7c0, 0xa2fbd198, 0x5f2296ca, 0x22cb1702, 0xc8b7cad7, 0xa5ed3809, 0x3af86f66, 0x245ecf1f,
+    0xfd1e6f1b, 0x41fec709, 0x85bf65c7, 0x74a23867, 0x688b2f9d, 0xb3e4e209, 0x8dec0c42, 0x9b59ac7d,
+    0x87051dd7, 0x9a77e116, 0x310e3622, 0x0ef05ff6, 0x29a651da, 0xfb67861f, 0x0c3946ae, 0xbf911da3,
+    0x19b23f7e, 0xdd067851, 0x332900e2, 0xc708dd3c, 0x7a3186b9, 0xdeaa62e8, 0xe369c2f6, 0x2ca2d3cf,
+    0xc29dfef1, 0xe0272624, 0x04d5bea5, 0x0cbb5988, 0xd9915334, 0xb670c655, 0x3274148d, 0x7d9e2d18,
+    0x7a64f67b, 0x950e023e, 0x028a9c0a, 0x36416098, 0xd37b8ef9, 0x94c61914, 0x282a1f55, 0xd3f77dd5,
+    0x12884a90, 0x12dcfea4, 0x85817a14, 0xffa4b300, 0x6107f1f4, 0x5ff43026, 0xe50e2d2f, 0xb8ef5da4,
+    0xac1424a5, 0xe1f805a6, 0xf11af9e2, 0xf9dc78a8, 0x5a835a4c, 0xacf7b282, 0xb09eb362, 0xad899a09,
+    0xd779f2c4, 0x57deb615, 0x8d8bf908, 0x25a9320b, 0x86f273eb, 0x9e361f9d, 0xf9741f07, 0x4bde8379,
+    0xb2a87c0e, 0xd6842915, 0xfc48fc0e, 0x7893c936, 0x9ad5c6f5, 0x721fdf01, 0xc23627c8, 0x76d14ed2,
+    0x756f9c36, 0x64d6b60d, 0x19ad01c7, 0xd0261599, 0x090f3ac5, 0xa39d4c36, 0x4dace8aa, 0xbcb0f93e,
+    0x13e5a088, 0x6357d450, 0xb0b94ca3, 0xb4df0031, 0xb964ffc7, 0xcd30d4d4, 0xf06eb074, 0x8ce777db,
+    0x5fbaf21e, 0x5b8c8b07, 0xb3b2249b, 0x854bfad0, 0xcf3ccd3a, 0x2c0f366a, 0x8981bfdc, 0x03d3e4e3,
+    0x1e5f31a0, 0x1d5e64d3, 0xe4eed59d, 0x924eb967, 0x24cfc2a3, 0xb8af96f0, 0x7a151f5f, 0xb8e7f733,
+    0xe48f04c4, 0x57862112, 0x4511bf78, 0x3d269eec, 0xf88a8a0d, 0xe2d7f50b, 0x78051de5, 0x16040c40,
+    0xbea2a1e8, 0xe7572acc, 0xb354d6f2, 0x95c6840a, 0x15b83be0, 0xf59ef575, 0x709ca2c6, 0x9a68fe22,
+    0x8f74374d, 0x66e1e798, 0x61bc6152, 0x8e330669, 0xb82cb5c9, 0xab58afef, 0xc09bd6dc, 0x6f39ae49,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000748288838313422294120286634350736906063837462003712 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3365, 0xb157f8dd,
+    0x00000000,
+    0xe003e421, 0xbde41466, 0xc27cd9cb, 0x1323a6dd, 0x82fb7155, 0x1f03b751, 0xc9467f01, 0x46a6499d,
+    0x5aa8f209, 0x66dfb15a, 0x1341036a, 0x6ba8403b, 0xb67838b5, 0x4e1048c6, 0x0234ccc3, 0x7d0ad125,
+    0xe2799607, 0x72dac00f, 0xea280a91, 0x8f04585c, 0x84b4f9e4, 0xd3435a70, 0x61dad626, 0xfce859e9,
+    0xc4198d30, 0x58423391, 0x57749eb1, 0x84ffaad9, 0xd8dded6e, 0xeb36e03b, 0xb847e77f, 0x3fbd26fb,
+    0xc0e4c314, 0x2933bfde, 0x568a45e7, 0x9d52954c, 0xbe124b7e, 0xb20ededf, 0x1bf5329b, 0xea7025b8,
+    0xd712071e, 0xc7a1479b, 0x4f2c3beb, 0x60be44a9, 0x3edaf810, 0x8b9eee05, 0xbcfd38d6, 0xa45f8aa5,
+    0xd4770923, 0xa2570561, 0x18de4d28, 0xf1cd5385, 0x82e4c064, 0x688a741a, 0xca4e5efe, 0xf26aa04f,
+    0xa1920f98, 0xcb27d2ee, 0xa42c88fb, 0xc0120cbf, 0x02760377, 0x3ffabeee, 0x9180b6f7, 0x7879bdca,
+    0x832a4c85, 0x336b98c3, 0x68182809, 0x36a442cb, 0x8678331b, 0x4959bf93, 0x5a0ded12, 0x8085f5d7,
+    0x4e26c482, 0x2306bec3, 0x413ef719, 0xa193ed99, 0xdc4268a2, 0x5794bfd7, 0x0063438d, 0x0aa5c9ad,
+    0x4333de45, 0xe7542ff1, 0x8cb917cc, 0x7ff00156, 0xf1022de7, 0xdfef6af4, 0xca0a724d, 0xc4dbe7d6,
+    0xae72b3d6, 0x687c242e, 0xc595e21c, 0x8cefdb18, 0xb0dfb0a2, 0xcab255e7, 0xd612df2a, 0xa645cbfc,
+    0x4db1e36e, 0xcb6dcfdc, 0xeb36b78a, 0x100bdc96, 0xf8cc11f9, 0xf20d1a9d, 0xa7796b1b, 0xff2ee961,
+    0x4e79f27e, 0xcc2d7288, 0x56910d6d, 0x22de2c90, 0xe7ffb8a9, 0xfef0d1b3, 0xba06ba50, 0xf3cc0d93,
+    0xfd158870, 0xd92d99c1, 0x8e6427eb, 0x66f4312f, 0xa04dfb5a, 0x632ded03, 0xf6123ac9, 0xef6bfa6b,
+    0xd5a4c9e9, 0x7362e76e, 0x0e33c100, 0x72d479ed, 0x1d19957a, 0x8543b697, 0xaa56cd9b, 0xd83e02d7,
+    0xfc45c944, 0xcef605d3, 0x61fe6ae3, 0x743cefd1, 0x72c22704, 0x36b343a1, 0x2b675ace, 0xace2b0ac,
+    0xa076ee07, 0x37c01897, 0x21f493a5, 0x3e069f35, 0xb6ba0b65, 0xb6e8dba5, 0x050fb70f, 0x8d071884,
+    0xf2a82bfe, 0x437d1385, 0xca17a7a7, 0x906e623a, 0xd5c767a9, 0x61008f57, 0xaeff2683, 0xf23d5ffa,
+    0xed25a7c3, 0x09440fa9, 0xdd292eac, 0x816b8083, 0x5be319c0, 0x7b77ccb4, 0x6a75e33d, 0xeafd14b0,
+    0x56631be7, 0xc8618553, 0x897c8d10, 0x4459a139, 0x786e6f59, 0xc0f344a6, 0x89b39267, 0x7f62bb36,
+    0x164e351d, 0xffd2c5d7, 0x94a5df97, 0x23f511b0, 0x902e2bd1, 0xc949d434, 0x2b106978, 0x64dda37c,
+    0xacbad766, 0x363e0140, 0x9df45f06, 0x9db7959a, 0xe57703dc, 0x0518e091, 0xb3e4b723, 0x595f3b19,
+    0x49d983bf, 0x8d82ba90, 0xdf10791a, 0x8bb4b18b, 0xede3a4fc, 0x145aed3f, 0x05f0a6cd, 0x523a0ad7,
+    0xd3092ca1, 0x1eef261d, 0x8e675ae3, 0xa2c72d77, 0x87198346, 0x57e40b27, 0xf1e9df75, 0x76e848cb,
+    0x2431a78b, 0x796cb2b6, 0x1930ae36, 0x3195aa88, 0x3632a8e6, 0x970e5589, 0x605d1662, 0xde1b3f29,
+    0xf08dc7c9, 0x5d792b69, 0x9464e4fa, 0x613f6718, 0x3e4a33dd, 0xc9bc4bef, 0x77689df5, 0xc52b3ed8,
+    0xc3104686, 0x5221b9ae, 0xaded731f, 0xd3e827a7, 0xa2d726cb, 0x9d910e95, 0xc6c4daa5, 0x94b3a071,
+    0x7809c0dc, 0x9b741d4e, 0x595b5e13, 0x0e9f24e7, 0x71a71e39, 0x6e03206b, 0x71203219, 0x657f9e87,
+    0xb455f3cd, 0xdfaf3567, 0x33b5124d, 0xe194571b, 0x426bb640, 0x2f9447bd, 0x22faea88, 0x937b4d67,
+    0x7d269d4b, 0x16270fae, 0x9f063f92, 0x081007cf, 0xa95b9bc1, 0x2ec1f9a8, 0x22316740, 0x4f89f360,
+    0xcd471192, 0x17fbe466, 0xc2fa172c, 0x7f96a850, 0x000ba189, 0xadfffaec, 0x3cff695e, 0x9c2f5233,
+    0xb2067c32, 0xa9c22fe6, 0x5a9bd990, 0x6cc6e4f4, 0x283c0ddb, 0x75225b53, 0x16cd7acf, 0xa36dbf48,
+    0x355ac483, 0x915cc993, 0xbe767786, 0x74b666d0, 0xf916468e, 0x3e947ef6, 0x771c6754, 0x7ba0c50b,
+    0x177e6db0, 0xc283101a, 0x545a4c61, 0xdb9ca2b9, 0x17b8d2ea, 0x2563ab2b, 0x900d23ce, 0x0a109dcf,
+    0xa2bdba5c, 0x90d8443f, 0xdfb881e9, 0x8fe1daad, 0xc8c716a0, 0x072755b6, 0x330a3a73, 0xa82b9953,
+    0x2a177b4e, 0xaefd9b89, 0x005af221, 0x3cbc1cd2, 0xfc9472c8, 0xc0d70c02, 0x14d26e2a, 0x6c67620e,
+    0xf4b45527, 0x46ffc8e0, 0xcaa08af4, 0x1663b27a, 0x68a1d9ce, 0x95062762, 0x22386854, 0x437724fb,
+    0x0ff14fd2, 0x9d232351, 0xca734f87, 0xc9e47f6d, 0x39980b17, 0x432e4a17, 0xe9e44848, 0xb94ee700,
+    0xedc0a176, 0xfa09c7df, 0x462e95b5, 0x5a97bb59, 0xf14fcf85, 0x1923ecbc, 0x66813db5, 0x9f8f1c62,
+    0xe2202a97, 0x900c108a, 0xb78af937, 0x14b87f10, 0x7e73a552, 0xe45c3995, 0x8a402bae, 0xd191f84a,
+    0xccc78eea, 0xc73e72da, 0xf644596f, 0x341c67aa, 0x92fe752f, 0xe5f2a09a, 0x1abe1e2d, 0x9846c95b,
+    0x2e3e9c38, 0xeca95257, 0x711cb4b6, 0x9da28ddf, 0x7b796dd7, 0x17ed8049, 0xb4e4f13b, 0x4bfb12cb,
+    0x75d4164b, 0xb8299b57, 0xe8b94e3f, 0xdc957566, 0x08d0d692, 0x44647829, 0xaca7e5fa, 0xfabfaaab,
+    0xaafdc14d, 0xa82ea7f1, 0x4b96d9d0, 0x1ab001df, 0x30c0ce6e, 0x6f1bc32a, 0xd1d58d05, 0xfb376fc5,
+    0x0e838d22, 0xce0862dd, 0xd3e56bcb, 0xc2679c49, 0xe05a1bcf, 0xb77fed26, 0x0b6e30f0, 0x8f4e454e,
+    0xc35c6910, 0x29341c0d, 0x8fc0d69a, 0xd6b9a348, 0x9bb5c7d1, 0x47dea93a, 0xcdf243b4, 0x26ee9ccd,
+    0xa66e651c, 0xfec1f98e, 0x2b32c9f5, 0x0600c776, 0xca74286e, 0x98008ae6, 0x7781761e, 0xb6b54e79,
+    0x8b6530d9, 0x9f2f19f6, 0x13233413, 0x9246e24b, 0xfea67324, 0x628c7758, 0x0cc6cd9d, 0x6dd3f0d4,
+    0x1492fac0, 0x230bd757, 0xf5dbb501, 0x53257d8d, 0xc18d5659, 0xe62ece77, 0x2333e6b8, 0x6b80d9aa,
+    0x66907cd6, 0x072c8f65, 0x2ebc25f9, 0x8a63461f, 0x09b6a6e9, 0x5d877b8e, 0xb63873ec, 0x810eac31,
+    0x1c8046ac, 0x13a1132d, 0x19ec23bd, 0xc56c3756, 0xa184453b, 0x6a7eaf97, 0xfdfa4960, 0xbe811ebf,
+    0x0c778381, 0x5599718f, 0x9561d112, 0x7cf117f8, 0xb3f00bb0, 0xc13058ce, 0x2b461d98, 0x5b3efc0c,
+    0x06001381, 0x420a20b6, 0x982bbba7, 0x2eb20ca0, 0x03fb18bd, 0xcf87ee10, 0x9c3c6fe5, 0x93d20e0f,
+    0xecda2e6a, 0xa1ee4e48, 0x07c39a00, 0xbdc7092b, 0xa279d50f, 0xa19692f5, 0xf7679015, 0xf78138f5,
+    0x95c9b174, 0x276c0c01, 0xebfa7e5e, 0x77e6f579, 0xad182ff6, 0x985c1819, 0xd6254f48, 0x17511fae,
+    0xe3e1e98c, 0x45bd7eaa, 0x140fd8a5, 0x34891541, 0xb89b2fcf, 0xae9529ce, 0xdd3a25ed, 0x110112b9,
+    0x87b40444, 0xde869848, 0xdb7ef7e7, 0x7644bb7d, 0x6b495696, 0x4622861f, 0x81314130, 0x23f01d51,
+    0x6b505b94, 0x4b4f917b, 0xe57a2cf9, 0x185cc700, 0x404464cb, 0x1a8d09e4, 0xa3394e07, 0x4058f39b,
+    0xbe1ec300, 0xfb8c5298, 0xe533614e, 0x2d66b6b7, 0x2fe63d27, 0xe3556b35, 0x3cb1af2d, 0xfd54b2d3,
+    0x4ae9dea3, 0x4e4c3ae2, 0x69e1965d, 0x8d06b006, 0xebdcaef7, 0x09b08cde, 0xb5e255f0, 0xe0f221f6,
+    0x9569ca4e, 0x88e80dcb, 0x46451882, 0x0736b26e, 0xf409ee87, 0xe76a64cc, 0x9d8aa03f, 0xc4fc91f8,
+    0xb41f14b6, 0x7c4b15f6, 0xb6f121c3, 0xe3563f45, 0xebb61c55, 0x7299cf37, 0xe9f1bcaa, 0x2c635830,
+    0xb4fc1b86, 0x2a28a0ad, 0x22c4a29d, 0x69cb3e67, 0xef09c916, 0xfaeefb45, 0xb1899c9c, 0xef08ee74,
+    0x71024615, 0x574d690a, 0x28ed81fb, 0x0e2e236e, 0xdb458c01, 0xbf04e339, 0x5c2cdaa4, 0x2b615917,
+    0x766bd36f, 0x55d92f50, 0xfa27e64a, 0xd9c84b21, 0xcdccd142, 0x7b7e17c4, 0xf8a1a031, 0xd23c3736,
+    0x9eb0ce26, 0x74cfd40f, 0xa1ba0a08, 0x7dd364b1, 0xfa42c3dd, 0x1f172c14, 0x70bd6137, 0x64aff7c8,
+    0xa00e640d, 0xf34c3b4b, 0xd330d0e9, 0xbb0b37bc, 0x0a13095a, 0x08ca1ea0, 0xa53392ed, 0x6e0493b8,
+    0xb4dfe0e9, 0x95e7b03e, 0x1fc607bc, 0xc8fe178c, 0x7178ded2, 0x5b3ac2df, 0xff7afe52, 0x0162bab3,
+    0xe398132e, 0x22ce251d, 0x00e173a0, 0xf8416761, 0xf913b31c, 0xe49efc17, 0xc578541b, 0x7518f07f,
+    0x0d8e572a, 0x950eab25, 0xd902df4e, 0xefd648e3, 0xd566dd86, 0x8bfaf64b, 0x1904f0ee, 0x776a0997,
+    0xaff57db4, 0xdab317f8, 0x4155baba, 0x7b00d7af, 0xcf8508da, 0x50f7ab4d, 0x475464a3, 0xced3fbc2,
+    0x6c896ca7, 0x91306061, 0xd465a1a1, 0xfa113267, 0x007a8914, 0xb63fb11b, 0x33970b41, 0xa1174033,
+    0x974133bd, 0x8a54aecc, 0x697f7755, 0x63f82ddf, 0x414d8c76, 0x0cc50afd, 0x41a67fb0, 0x20d8caa0,
+    0xf3987796, 0xbbeef007, 0x80b435cf, 0x822a7036, 0x126f475e, 0x323e3161, 0x01a32b3a, 0x2d98fa9a,
+    0x4580b6d9, 0x3de4d8ae, 0xc57f9002, 0xe393c39f, 0x2fc7091a, 0x13b8c009, 0x01264f75, 0x7479a881,
+    0x84d009fe, 0x0a7605c6, 0x4ea9da4f, 0xdf62e6b3, 0x91a15bad, 0x1688c505, 0x413ae1bb, 0xad4ff951,
+    0x61984a6d, 0x97879f6c, 0x4991e2a7, 0x90f59cbf, 0xef2bf687, 0x5b63d635, 0x550ab7e1, 0xb0d07b2c,
+    0x2999f8a7, 0xe0f82152, 0xa2f6c689, 0xcd00b659, 0xea142dc1, 0xdaa9ccbf, 0xf9c2bf65, 0xabf1e262,
+    0x12f5011d, 0xd5c1162c, 0x3e63cef8, 0x49beb360, 0xd291c449, 0x1a346db9, 0xcde99fb4, 0xd98b32df,
+    0x292596dc, 0x5ef1a640, 0x93370a20, 0xdf0e5fd6, 0xcde67fc1, 0x8ad130be, 0xe98356ef, 0xec289fa9,
+    0x013759e3, 0x945683ea, 0x64cb65f3, 0x5ac95fc2, 0x004c74e4, 0xd3003747, 0x8dd593d1, 0x2f7d865b,
+    0xe5e4205e, 0xac55aacf, 0x5d363fd4, 0x655031eb, 0x0d834b88, 0x8593c972, 0x64261598, 0x4e439520,
+    0x27d66402, 0x69b1ea18, 0x3a232d6e, 0x0091c611, 0x30823161, 0x8bae77ca, 0x8d277549, 0xd7ba7c85,
+    0xf725bfdc, 0x8783de4b, 0x80c9e081, 0xdc604799, 0x47939714, 0x7a3f5fd3, 0x3dc7ab93, 0xedf2bab9,
+    0x720cda9f, 0xf1370741, 0x9eede10d, 0x2774ca59, 0x72d7c8f6, 0xbb4799ff, 0x5a4e82bd, 0x72c5e201,
+    0xf432fc90, 0x0f397a58, 0x554ca25d, 0x0d92cacd, 0xbaff09de, 0xca7ba766, 0x6f052b80, 0xcd5d5f15,
+    0xb849e286, 0x1865edaa, 0x712f18d4, 0x70ec6fa8, 0x8ebb0a8a, 0xfa70bfe4, 0x9c96944c, 0x55c76129,
+    0xfd7737b3, 0x4aac708f, 0x94ed7cc4, 0x21568f0b, 0x46d1d144, 0x72eef7d6, 0x6f6f9031, 0xfc5c68cb,
+    0x653af238, 0x830ed2f5, 0xb500a0ca, 0x76ea72c8, 0x37b4a1f5, 0xdeb02157, 0x1c44b1d3, 0xfd96fa57,
+    0xd8023265, 0xcb5a9969, 0x29a5137b, 0x0de65dee, 0x94e4958b, 0x469d7909, 0x75a9b446, 0x26bae3a0,
+    0x1ce4cf31, 0x918e41e5, 0xa4b45909, 0x44d0067e, 0x6fd6ba6b, 0x40bf729d, 0x933d3633, 0x8ceb5f4d,
+    0x8c89f8c7, 0x84deaeb5, 0x8f51a11e, 0x2ea46387, 0xa870f4a5, 0x7f140c44, 0x2b40a841, 0xf40e9d7a,
+    0xcee39d03, 0x3e015c40, 0x4124263d, 0xb8c7feae, 0x32a1231b, 0xf492a42a, 0x9a0b13b0, 0xbf2b7348,
+    0xf591be92, 0x1b887425, 0x8aaa5d09, 0xad98bd65, 0x3ff0d0dd, 0xd7bae9d2, 0x5223d133, 0x3fcccd92,
+    0x6b876c61, 0xed790375, 0x0ee729aa, 0x4974cab0, 0xa83a553a, 0x20a70721, 0xe51a3b68, 0x860133d1,
+    0x068e76f1, 0x645b8d47, 0xd28bf476, 0x1bccb0ff, 0x7ac8456a, 0xaf19b84f, 0x8428fc21, 0x7210d8f9,
+    0xd54dbf67, 0x988e8e4f, 0x6e385c78, 0x74e08c26, 0xafb06a7c, 0x8436e204, 0xfc368428, 0x981a8011,
+    0xf4c776ba, 0xc24fb16e, 0x016ddfad, 0x0380fc1f, 0xaadcc23a, 0xaf79ad50, 0x828a718c, 0x95bbd987,
+    0x68a76926, 0xbd1cae61, 0x3707e1aa, 0xdea920c9, 0xa7115691, 0x582f0cf4, 0x337c9991, 0xe128312c,
+    0x4cb7a560, 0xf0d26e71, 0xa4186d9d, 0x4de88870, 0x5cf95bc7, 0x306e2827, 0x840127a6, 0x77ced42a,
+    0xc743997c, 0xaedc0d20, 0x243efe04, 0x4cefb7aa, 0xed202b6a, 0x43044417, 0x315d6310, 0x13c7a4bc,
+    0x66ec5a66, 0xff275718, 0x59ce3ad9, 0x16b19e06, 0xd18358d2, 0x9f5e8a56, 0x01c5564d, 0x7ce4ef7a,
+    0x5bcbb360, 0x5f035ebd, 0x28fec594, 0xf535a794, 0xff68d1e3, 0x7b574f1e, 0xcd980108, 0x37e9d035,
+    0x8aab704a, 0xfb49c2cb, 0x2d019959, 0xa2351dda, 0xa6977e5a, 0xe649ba4c, 0xa6b736dc, 0xca0ef01d,
+    0x053a6057, 0x37f0026f, 0x48a6ee58, 0xe4b92296, 0x89686a26, 0x6c363233, 0xc516863a, 0x4669c7cd,
+    0x6ba8da6c, 0x5689ae02, 0xb34b8e97, 0x3704d6ef, 0x436f7dff, 0x3beffdcb, 0x638bfc5e, 0xb1abed1e,
+    0x3c085831, 0x1d1e7e3e, 0x570cc294, 0x54e83263, 0xaf7e7d35, 0xb6c36a9a, 0x9ecd02ac, 0x7b872290,
+    0x7aab34db, 0x9b9da3c0, 0xf19eeba3, 0x3786c907, 0x33075d17, 0x8fb8673d, 0xea483ad5, 0xbe9f4963,
+    0x325daaaf, 0xf80186d3, 0xac0c3149, 0x482fde69, 0xdaefc1c6, 0x4dd0b2c6, 0x3940dcb1, 0xf555bc49,
+    0xc6c1ca1c, 0x173f8d5f, 0xb224441e, 0xd3b586cd, 0x57392d27, 0xbef0f133, 0xc0902032, 0xbe26a1b8,
+    0x29bd8937, 0xc6330675, 0x379d5ce3, 0x5ec79446, 0xfb0b26aa, 0x999f53a5, 0x70e37d89, 0xec3f21c0,
+    0x14b15429, 0xba588619, 0x3924a0e0, 0xb4e0acd4, 0xe0d7f053, 0x3ec1143d, 0x598f8e29, 0x8603cd9f,
+    0xd446cc3f, 0x3fde8f9c, 0xe5f1b78d, 0x6b993e42, 0x1f0221f2, 0xad8ad0d4, 0x03beae60, 0x88d03154,
+    0x18ea7f58, 0xf29cec0c, 0x406b8a7e, 0x8dcb2f13, 0x35f56bcf, 0x9da23862, 0x1c1c6fd7, 0x54647d04,
+    0xd42bdbf2, 0x9ce928be, 0xbb69d8d8, 0x70cf66f7, 0x35635fea, 0x59f1b591, 0x5b6b895b, 0x75f1e409,
+    0xe1978c0a, 0x019a5988, 0x3d9222b3, 0xe8957617, 0xba5136ca, 0x810bbaee, 0x7917a7e2, 0xcad3c1ac,
+    0xb7d886e8, 0x127a8921, 0x0cf812a1, 0x1a1088a9, 0x2b985bc2, 0xa41b634c, 0x8444f5c3, 0xee8d9a5e,
+    0xb5d3faa2, 0x660e4825, 0x60921133, 0xc7e01640, 0xec6f1fad, 0x1bde5eb5, 0xc9c995b3, 0x5d9d5388,
+    0x42e00540, 0x50136278, 0x14a94d34, 0xf0c2193f, 0x50a99798, 0x0611d20b, 0x097dfe70, 0x17c4b1aa,
+    0x3f269914, 0x3332d3fd, 0xeaba924f, 0x38da0da6, 0xb9172dd1, 0xfa49e6c6, 0xaf305b60, 0x0e07c3fd,
+    0x3f20c612, 0x69434275, 0x7baf524f, 0xf0f4ee82, 0x071f4b52, 0x625fd688, 0x6179ab4d, 0x8d98a48d,
+    0xa09dab55, 0x8d3712cf, 0xb5888b43, 0xec5cc384, 0x3731644a, 0x127fde06, 0x06e3b692, 0x6c43367c,
+    0xed5d5c2a, 0xb855c53b, 0xfcfae76c, 0x7479794f, 0x6c0ccd05, 0x647a6b47, 0x5879c7ba, 0x8bed7a18,
+    0x3809cb20, 0x40e8a4b1, 0x210b5b4e, 0xc2266122, 0x0435d353, 0x4f12fd1d, 0x1af51ba2, 0x2706ca82,
+    0xfa2c2eb5, 0x32855b0e, 0x1debabca, 0x7e777285, 0x7ce98e46, 0x3bad46d8, 0x00b3cc5d, 0x8348c9b9,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000374144419156711147060143317175368453031918731001856 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b2, 0xd8abfc6e,
+    0x00000000,
+    0xa95575cd, 0x949d6184, 0xdb4de085, 0x0a4c5adf, 0x6ed92bb9, 0x5e19a983, 0x1040370d, 0x05231e4a,
+    0x243de18e, 0x0b071304, 0xc84470b5, 0x08cae654, 0x42e16c9d, 0xf0609e0b, 0x8b62947f, 0xc00ea0d7,
+    0x5abb9190, 0x7e6542f9, 0x1eec190a, 0x772dcf3c, 0x0b60b676, 0x42af3357, 0xa3677ed5, 0xdbbac31e,
+    0xbf9e3a9a, 0x81a17442, 0xe43f1668, 0xfe2d89a4, 0xf0b082ca, 0x33ea2a11, 0x84c9e21b, 0x3e695e25,
+    0xd614d1c7, 0x7ce629db, 0x7b4b0f41, 0x3aed9fd9, 0xe4611bb3, 0xa45e33a3, 0x9314de78, 0x5791e4cb,
+    0xdf1bf2ff, 0x9ca8e7f7, 0xbe62ca3f, 0x98c5d0eb, 0xae789a1f, 0xffcd2354, 0xc2ea87e0, 0xb5a3205c,
+    0xfec40d01, 0xe8de6139, 0x7b9a8f47, 0x89499c54, 0x158422ec, 0x6768dd65, 0x65d4cbc4, 0xca7da0fa,
+    0x6ee81182, 0xb422f43d, 0xc71767e8, 0xbf23851d, 0x840b4f93, 0x0f8656b3, 0x3918a6c6, 0x2ff2fdb6,
+    0xdd83d887, 0xc5951daa, 0xdb4a4ffc, 0x27310099, 0xcf0a2191, 0xf7294b0e, 0xa5cbd0aa, 0x94306992,
+    0x82399e72, 0x53697b8a, 0xc6c4fb48, 0x28bb54e7, 0x7a9aca35, 0xbca2d77a, 0x4b1ab990, 0xd2bb0414,
+    0xb9db81fc, 0x4b82ce53, 0x05dfa51c, 0xae487b49, 0x4807b544, 0xa873630c, 0x77f6ae30, 0x5ba6f675,
+    0xe42f49f8, 0x5b80695d, 0x43de7284, 0x15de5fe3, 0xe8ebec6e, 0x00b40c9c, 0x11f265c9, 0xb4799cf8,
+    0x636392ca, 0x8abf022e, 0x925aa59f, 0x56dcf716, 0x9b87f3c6, 0x14012b65, 0x85ed653e, 0x4865bf88,
+    0x0d2ba6c4, 0x04fa5327, 0x51b03242, 0x9b35f98d, 0xb4ba9ac6, 0x3ae655bd, 0x6b110ba1, 0x17173f33,
+    0x2f889c7b, 0x08f77a4d, 0x33c6a462, 0xd96ee205, 0xbb59e53b, 0xf4082b4f, 0x91d418d1, 0x06bf213a,
+    0x56cd5316, 0x31c5752b, 0x03d9039f, 0x928389e6, 0x2e481b2d, 0x4c7ff03c, 0x58f28cc9, 0x596c8413,
+    0x300f6e5a, 0x5da4f0b0, 0x93650cd5, 0x87c7846b, 0x59217ec1, 0xd428f0b4, 0xfa718445, 0x4c8cea60,
+    0xe4c43fef, 0x634af18e, 0x95b21f17, 0xeb92680b, 0x1cfe5bc9, 0xd1ed2b70, 0x42644b99, 0xa363321e,
+    0xd3c9f9ce, 0xb86a0ab9, 0x83fc3231, 0x93c93cb7, 0xd88767c0, 0x2024c3f9, 0xa4ac96e9, 0x219ca55a,
+    0x1170a266, 0x88d79767, 0x7a620759, 0xa8ccc48b, 0x5a7bf503, 0x7a914284, 0x36b7af44, 0xc083dcb6,
+    0x01d76666, 0x032ea3d9, 0x807889ac, 0x248e7574, 0x77606861, 0x01fe5cb2, 0x63f2232c, 0x3362bafd,
+    0x1525985c, 0x6759bd01, 0x266c4ceb, 0x010f562f, 0x93ceab20, 0x15cc12cd, 0x2991ff61, 0xdfaa68c8,
+    0x46bb704f, 0x7a0adb9f, 0xf50c935e, 0x82bb792a, 0x154ad3fd, 0x127930dd, 0x3013d197, 0xc34df5c4,
+    0x4dea7f4f, 0x57720aa4, 0xfe0c5a2b, 0xd480a76b, 0x72705116, 0x98b39268, 0x51659e47, 0x613b3921,
+    0xc5610e33, 0x6ae6cede, 0x90fe0835, 0xc742a167, 0x73bc9495, 0xd04d046c, 0x376c4f30, 0x56b63137,
+    0xdabf7821, 0x5e92d226, 0xe47f453a, 0xa46fb4c4, 0xcad66cad, 0x4148ef46, 0x9a7b851f, 0xa5685d8e,
+    0x8b892db1, 0xa89ce90e, 0x0a77b7ae, 0x3f51c4ea, 0x71a072c7, 0x8d97dfce, 0xfa28a1c2, 0x38cc78e1,
+    0x1f1a759f, 0x8f885c77, 0x97b53a06, 0xcb35f4f3, 0x080d87ee, 0x83137ccf, 0x641c5cb3, 0xce0dbf9e,
+    0xde793db4, 0xa3b32c44, 0xf8c582ba, 0x5d8b64ea, 0xedf8443e, 0xc0d0df94, 0x86ae0f39, 0xc1011836,
+    0x2aa99bff, 0xec4f7c52, 0x3d4bde21, 0xf290eead, 0x8ac9879a, 0xf2fe687a, 0x26c66ecf, 0x976443fc,
+    0x6d27f73a, 0x658e00d7, 0x52e7b522, 0x77bd95d3, 0xd0a235ad, 0xf1e639a1, 0x7101739b, 0x14fecc2a,
+    0x5c450856, 0x48363b5a, 0xeabf18a4, 0x0a01b7e7, 0x3de362d2, 0xc4cb5319, 0x79ae3e95, 0x34ce52f6,
+    0x84f59ba0, 0x99990dc2, 0x59b90563, 0x105cd575, 0x791dc879, 0x0a9d7966, 0x9755f308, 0x6bd152fe,
+    0x63fd55c3, 0xf3ea0885, 0x819136a7, 0x9d1f3c23, 0xf27fe0b4, 0xb8bd278d, 0xd85ef782, 0x9b31936a,
+    0x5b68b4e4, 0xb2034b34, 0x3e93ff95, 0x1bef2ee4, 0x6dd8554f, 0xa2b26dde, 0x35be195b, 0xaac1e0f1,
+    0xe9b60e9e, 0xa4e2a89d, 0xffd877f8, 0xaa0bc6ad, 0x24e21253, 0xbc2ce503, 0xb927d830, 0x6eb7f3a1,
+    0x4119362b, 0xf2f5df13, 0x89da0636, 0xc2d7bde8, 0xa1f87057, 0x2a1d60d3, 0x027006dd, 0x3bca5b08,
+    0x9b310f8c, 0x26a36ebf, 0xe9771592, 0x1ec8b253, 0x56ae3561, 0x0c31bac3, 0xa76dbda4, 0xa92f1554,
+    0xa00119db, 0xc36334ad, 0xdd77e7ee, 0x0c819682, 0xe8e78d44, 0x5ff0e895, 0x8a32bab5, 0x1fe8f0a7,
+    0x15f6aa8e, 0xbee07284, 0x886a2566, 0x73136bb0, 0x2dbbb67e, 0xdaf0a9a7, 0xe1a71293, 0xf4bb3efb,
+    0x126847db, 0xb7a4acbf, 0x354a68b5, 0x9fe8d87c, 0x4cbd8f87, 0xc6e6316b, 0x42ae255d, 0x83e08f3d,
+    0x016fc6f1, 0x84dc9db1, 0x893c05ca, 0x4e4f5819, 0x5f5366e6, 0xe1574762, 0x14e2fb3b, 0x01462da7,
+    0x6f428b34, 0xb694faee, 0xe525470b, 0xc77e8d51, 0xf4228647, 0xa0b9bfc5, 0x4b26c456, 0x9123ab39,
+    0x9e47aeb1, 0xcebbecaf, 0xa44a53e0, 0xa63508ad, 0x28a8b5f0, 0x39c17eff, 0x7180a635, 0x178b801c,
+    0x222f85b0, 0x38cd329e, 0x10250e65, 0x08e1bbd3, 0x0e6762c8, 0x2ad88336, 0xe20ae3c8, 0x9d324172,
+    0x3a82833a, 0x87a83926, 0x67052928, 0x41250cf4, 0x665e6acd, 0xa0e24ec1, 0x25caea27, 0x993dfeb8,
+    0x5d376d44, 0x3b7749fb, 0x077643d6, 0x78ef71ca, 0xa60ff99d, 0x22b59e60, 0xc7649ecc, 0x464b542c,
+    0x8f53a179, 0x51d97d7a, 0x9d835ad8, 0x1611ef40, 0x56b32746, 0xd8ac2137, 0x01dd907a, 0xb151649f,
+    0xce7d2f9b, 0x6ee1b391, 0xb9828500, 0x7a269116, 0x24ef1e0b, 0x4c9e3044, 0x763b3fd8, 0xfd2dfbe1,
+    0xa5e57252, 0x259148a4, 0x992883fb, 0xd744c09a, 0x298711e3, 0x8c8f9c79, 0x85d8bcc3, 0xd0335ab2,
+    0xcba8ee5f, 0x9d248211, 0xc11db36f, 0xf149d1a2, 0x03ae2715, 0xf3546d55, 0x1b50dfd4, 0x6ce668b3,
+    0xa5019a47, 0x1006d0e2, 0x687e7da5, 0x277457e2, 0x7cf63c18, 0xf5fc1fae, 0x3ebcf133, 0x0863be99,
+    0xb01233a9, 0xd9acb984, 0x1fa39eec, 0xebee1e99, 0xe5e3819b, 0x1e57ee93, 0xaffc3ae5, 0xa5a0422d,
+    0x7d29175a, 0xa1c19ae9, 0xf8003d13, 0x1e567327, 0x5b9b923d, 0xf76b1616, 0x3fe0fbc5, 0x1fe9aac4,
+    0x9c8f4e62, 0x91025b88, 0x1e8a35de, 0x6ce6df99, 0x518727a4, 0x4d5db170, 0x282ea333, 0xc26629fb,
+    0x45357c7b, 0xd0466b78, 0xa52b4d85, 0x7af79013, 0x35ba018d, 0x8ae98477, 0x45955884, 0xb66b3b62,
+    0x78f3114c, 0x00dc00e2, 0x31d9eb65, 0x18fd13a6, 0x699006ef, 0x12763f61, 0x62b6f067, 0x1555f742,
+    0xb461a6ac, 0x6adc0284, 0x2a93847e, 0xd34647b9, 0x3f293f63, 0x8490797f, 0xc05ae9df, 0x011b176e,
+    0x4e6b7a7a, 0x96a7ec82, 0xe3f668fc, 0x2e9e0e77, 0x47df5b0d, 0xbde45506, 0xc7465647, 0xf659fc1d,
+    0xe27de139, 0x89d066e0, 0x9075b247, 0x700e4578, 0x5ee0fbe4, 0xc1201c6d, 0x0edef549, 0xd15be95f,
+    0x0a184c77, 0x0d8196ce, 0x53205cce, 0x0cd32f35, 0x858f9906, 0xd29eed98, 0xb70bd4d5, 0xa046538d,
+    0xde331c0c, 0x9cc8a878, 0xa10d8f0c, 0xfe8dd05c, 0x5911c7f7, 0x02ba7ebc, 0x4dadb162, 0x32a6b012,
+    0xf7dd2109, 0x02d425b9, 0xe01ba6ba, 0xe4d92984, 0x5212d0af, 0xa1f9736f, 0xbeaebd45, 0x27945d7b,
+    0x4ae976e9, 0x9d89465a, 0x3035832a, 0x9ff8f741, 0x99035010, 0x305304cf, 0x5c3bef00, 0x07f16510,
+    0x66bec715, 0xd9a28f44, 0xe2f70aeb, 0xb8de66c0, 0x98cacb01, 0x1f4abc72, 0xb1eaa890, 0x41b1d715,
+    0x2597065f, 0x67b7ebc1, 0xf5896835, 0x42cfbfd5, 0x06036aca, 0x4a1b8bbc, 0xa9b39c90, 0xc749ab3e,
+    0x153a1016, 0x9fd86562, 0xa2e3baae, 0xc369f2a0, 0xf1ef7f57, 0x248757ff, 0x5e17f52b, 0x3812166c,
+    0x5e115a1e, 0x30d5efe8, 0x6abc42d7, 0x01b0ce73, 0xd79ba01c, 0x4dbbf3ba, 0x8ea76b37, 0x18b84942,
+    0x747d97af, 0xf05d1ace, 0xe85b8944, 0xf541bcb6, 0x25b24905, 0x44650161, 0xccd04877, 0xb705d907,
+    0xd6f5ffbc, 0x432e8de1, 0x078f76a0, 0x200e1087, 0x255953a9, 0x57588856, 0xd275dfe5, 0x7cc9544e,
+    0xb77d7da7, 0x24ee5d54, 0x716204f7, 0x3c149321, 0x2d7c07d6, 0xcd38f332, 0x7143395d, 0xc34e539c,
+    0xb8b0e9eb, 0xf97251cc, 0xaa42bef5, 0x49df9055, 0xc48479cb, 0xa2b34c0e, 0x944ac9eb, 0x5a6af6ea,
+    0xef30bef7, 0x31845469, 0x427e8c66, 0x11cdf62a, 0x751f0ceb, 0x64d498d1, 0x996a024d, 0x895f5a26,
+    0x7c395af5, 0x563e599a, 0x99632182, 0x9db9d004, 0x48216e73, 0x37af8ccb, 0xaeb434fa, 0x1b47792e,
+    0xa5571d46, 0x28c97030, 0x93bee899, 0xc97b4a5c, 0x58ffdecf, 0xc8fc6a58, 0xbeccb6e3, 0x98e3010f,
+    0xc054cf8e, 0x36e657ab, 0x576b339c, 0xb0b436fb, 0xf6e000e1, 0x94a940b9, 0x4e7b8ed8, 0xd0b443be,
+    0x8a6e7720, 0x60f122c3, 0x86e4426a, 0xd62aecf4, 0x7df49313, 0x75cc483f, 0xf1e701dd, 0x171dfbd1,
+    0x59684741, 0x1e19bdad, 0x26d833e7, 0x44e53ba6, 0xe0f406bf, 0x52f328d2, 0xb2794e01, 0x5af2975a,
+    0x5e9601fe, 0x82e3715d, 0x34dac10c, 0x484062a2, 0xddc7ceed, 0x6ad8f6f5, 0xecb4c236, 0xbd6ca5f8,
+    0x47eb1d06, 0xf5784f0b, 0x428b740f, 0x65318ba8, 0x7ca592b4, 0xf9eaa45e, 0x436dfd40, 0x3f2d4d80,
+    0x484c231f, 0x58db3ed6, 0x481906eb, 0x00532292, 0x74c93c33, 0x0c46679d, 0x8cbe6dd1, 0x26f764d8,
+    0x4f288bf5, 0x1db79a6a, 0x312828b2, 0xaefc8b2c, 0x99cf1178, 0xb87fa74c, 0x8ef202f8, 0xc029b9bb,
+    0x329f073e, 0x4f594748, 0xd0627ab1, 0xea763fd6, 0xae45c292, 0x0c86980e, 0x0cd0d0d4, 0xc7776a5c,
+    0xd96952db, 0xc639a0a4, 0x45cb31a4, 0xad111b7e, 0xa574ca09, 0x8ba3777c, 0x4bc57ea3, 0xaf7e245f,
+    0x72f44539, 0x95e9bac4, 0xed9e8c14, 0xcd077709, 0xa538a6bf, 0xfdd7410d, 0x34b1ed01, 0xe05fd286,
+    0x664892f0, 0x90f613c9, 0xc4051ad8, 0xbb58db1a, 0x1f960770, 0x3dd63082, 0x8998395e, 0x8676c91c,
+    0x3510e2e1, 0x18204d32, 0x2c55185c, 0x4e2958d2, 0x7102d974, 0xb8227060, 0x1b4d72b0, 0x77d59586,
+    0x4e9c8a63, 0x408e2eb1, 0x59460abd, 0xa22b16a0, 0x1329d9dc, 0x619e0a36, 0x0bad9f82, 0x6293ad5e,
+    0xeab94716, 0xcad6bb8c, 0x89b97444, 0x0ddf8c05, 0x787a7b61, 0x9aeb3730, 0x3fbf7e75, 0x9843ffcb,
+    0x50871371, 0x5ef73905, 0x3015b9e0, 0xdd899185, 0xa050a79e, 0xcad34495, 0x910e28c9, 0xa54145c7,
+    0x8368c494, 0x3f8727e3, 0xa9451ad1, 0x932979b5, 0x27dac684, 0x5d9c75eb, 0xe55ac216, 0xcf11c28b,
+    0x63dfe34e, 0x555ea418, 0x06a12669, 0x9e8f9f01, 0xe9e26ab0, 0xabe76665, 0xa00fd7b3, 0xe21bdd98,
+    0x883d6c6c, 0x07396870, 0xe366faca, 0xc142e76f, 0x74a63a45, 0xafdd3d93, 0x58102bf0, 0x09f6bd3c,
+    0x4c623a85, 0x40ca1320, 0x13efa8b4, 0x00f3b6a1, 0x4f036151, 0xa053cb59, 0xf063b8d4, 0xdfd0d4a5,
+    0xcc48f952, 0xe1e193b6, 0x4a31de77, 0x49ddb056, 0xd37e74df, 0x30a3cfb4, 0x900aab00, 0x0da7447a,
+    0x5b1a8dbf, 0x6b8d298d, 0xa450e183, 0xf25dc5cd, 0x1905408e, 0x08737dff, 0x65f79401, 0xbfe230ea,
+    0xff6561cb, 0x674d5ca2, 0xa0b0a9a3, 0x6d3c36b2, 0x4b857e1a, 0x563882ef, 0x4d493bd2, 0x23607e27,
+    0x395fb553, 0x0a4ff0a5, 0xdb1b6263, 0x20c2ccf7, 0x39eb4de6, 0xf2dca57a, 0xbb49314f, 0x201de363,
+    0xa5fb8485, 0x6be64c11, 0x024aa581, 0x804d52e4, 0xc3f3a8f4, 0xc20bbcbb, 0x59fc2aeb, 0x88cbd226,
+    0xbd5e4272, 0xd8373c76, 0x3853f9ff, 0x53890c13, 0x23a0362a, 0x2d264000, 0x8fec28fd, 0x1f333807,
+    0x4d443800, 0xce8b3f59, 0xf57f92ef, 0x6f932b89, 0x7020b189, 0x2a9dd021, 0x41d4e066, 0xcb6c10ca,
+    0xab825f7f, 0x59c3ae3e, 0x9ef42118, 0xec9c714b, 0xc116aac1, 0xdd3a5a07, 0x5c22134c, 0xae9f9af5,
+    0xfe8444e1, 0xb8523f94, 0x3ac08ef3, 0x8e08838a, 0xeed85e6a, 0x7fde395b, 0xad14bc68, 0x28ae4b25,
+    0xc90cb377, 0x8dc7e813, 0xe807568a, 0x2f75f248, 0xf8f1899f, 0x99fcd301, 0x280a0442, 0x5a88d57b,
+    0xe3a2bc6c, 0x79f61673, 0xed78f09e, 0xa657bf77, 0xd3277694, 0x4d32adde, 0x8ac19942, 0x11ac58b4,
+    0x5beb0d2b, 0xe48e5ea2, 0xf4ee49e7, 0x9cd37e9b, 0x4fa4cba0, 0xdbf30ca2, 0xb4d3d793, 0x62e34eec,
+    0x6662321d, 0x6035fe68, 0x188abb17, 0x58fc263b, 0xeb8ffa8e, 0xf37eec73, 0x998a8690, 0x62bdcf7a,
+    0xe469c60c, 0x16623fea, 0xf65dffa5, 0x989baf36, 0x031e9cf9, 0x6c282cc3, 0x42d88071, 0xe047dd6f,
+    0x465878a0, 0x312ccc30, 0xde04f648, 0x830c71ac, 0x9f3a2aa4, 0x3968bcff, 0xd340f66b, 0xc99f813e,
+    0xe1b00ed9, 0xb35d4176, 0x4db6a007, 0x9ac15e9e, 0xaf3e22e5, 0x3be9f3f9, 0xd7aa5d0c, 0x813ecda2,
+    0x8516166e, 0x82689297, 0x12ef4a55, 0x85451807, 0xacb99f5e, 0xbff84504, 0xf8be4d3f, 0xb6dbf682,
+    0x54343d61, 0xaf63056c, 0x5e715037, 0x35740d46, 0x0afb6442, 0x61269bc8, 0x8466740d, 0x5c8ce38f,
+    0x2fff4d63, 0xfff49635, 0x26cba5fc, 0x1e6413d8, 0x1d0ca09c, 0xf5e71d35, 0xee9bcb0d, 0x6184426c,
+    0x226269fa, 0x929e1507, 0x79b6ec44, 0x72661e18, 0x49a20ee5, 0x551ac2dc, 0xeeb55783, 0xc5e6e4ad,
+    0xf77add7f, 0x91ad79be, 0x9b981ef4, 0x80969718, 0xb3ffac9a, 0xc27617bc, 0xca42968c, 0x3661dacb,
+    0x08e6568d, 0x88a460bd, 0x7d3d0344, 0xa454e3f0, 0xe48248ff, 0x02849253, 0x2b5787e2, 0x559f6cf4,
+    0x492b05a4, 0x6b466618, 0x92e2508f, 0xde13e72f, 0x09ab9765, 0x6d731ef7, 0x2cf9abc3, 0xfb3ed534,
+    0xe7f3b451, 0x9b911508, 0x28aefe0c, 0xff328c0a, 0x2d9d173a, 0xccb476c0, 0xca748ecb, 0xce97ef48,
+    0xfbd33dbf, 0x21e094d0, 0x4694f687, 0xe0d0df0b, 0x547dedc9, 0x487993e3, 0x2613cbc7, 0x2b07a78e,
+    0x64cd60fd, 0xd96ea058, 0x6eaa6d01, 0xee0f9249, 0x946bb480, 0x8480c89a, 0x3db6a3dd, 0x693ae318,
+    0x13e279a4, 0xfdd10c02, 0x7f285fac, 0x6569913f, 0x84a71e7a, 0x19224cce, 0xa9fc121b, 0x18fcd0d4,
+    0x8d9c2190, 0xf7aee105, 0x974a83ac, 0x411b7a97, 0x540a8967, 0xe604a74e, 0x57760f5e, 0x8354da33,
+    0x379a3eb9, 0xaec700fb, 0xdd385aee, 0xdad4980e, 0x8b547adc, 0xeccb3740, 0xcebd9b3b, 0xe521af01,
+    0x7afb4cf3, 0xa27b9ba7, 0x8cbdda0a, 0xbccd9fd5, 0xda68fcec, 0x25d96701, 0xfc23c67c, 0x38db4f6e,
+    0x0b4ece89, 0x30d5845f, 0xc4f5bcd5, 0x0d617bd9, 0x9d468f6a, 0xbb0ee592, 0x7ff9b2cb, 0xa88746bb,
+    0x5b96fdbe, 0xb29c4300, 0x91fa3fac, 0x69694f44, 0xebe55c1a, 0x77dcdecf, 0x8551fb8d, 0x0c38818c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000187072209578355573530071658587684226515959365500928 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd9, 0x6c55fe36,
+    0x00000000,
+    0xd034909f, 0x151982ce, 0xa5653f26, 0xf6f791ed, 0xf7a25ef3, 0x0c90e129, 0x4efc6db1, 0x6c4db27e,
+    0x266de04e, 0x506950aa, 0x6670bbf4, 0x6abe1d0f, 0xcbcaaa1a, 0x89c9946d, 0x9d5fd693, 0xab7427bb,
+    0x1dc219b4, 0x3fa23a08, 0x63d92c98, 0xf79cb996, 0x19b00cf8, 0xab50d409, 0xdaaeb48d, 0xc189e8bf,
+    0x8fbe8b3f, 0x606548a7, 0xc00dd6cf, 0xf6de12f1, 0xc815a739, 0xbabcda03, 0xf8cc24d7, 0x89b7ebf2,
+    0x9d6c2012, 0xa48e1629, 0xff320cd2, 0x9ee5ba09, 0xdca94304, 0xa9e6ec51, 0x3877959e, 0xef3b8a7e,
+    0xa35e00dd, 0xe04dd21b, 0x3cd9535d, 0xb22cd728, 0x51c473d5, 0x8d9752d3, 0x99d5e2b2, 0x1bbe6f84,
+    0x9706665b, 0xa667f8a5, 0x1338ff87, 0xe35be08d, 0x22e5f3fe, 0x8954e492, 0x5bf45296, 0xb1066ef3,
+    0xe034921b, 0xef143cd5, 0x88b39471, 0xae63de09, 0xdc9ad760, 0xaf165f29, 0x1be5f5cc, 0x645e984c,
+    0x86c84863, 0x0eb7ede8, 0xf7667f0b, 0x54df6868, 0x91d5ab4b, 0x484b1d7d, 0x11ee4efb, 0xd526ddd8,
+    0x0229a70a, 0xceab0956, 0x7ca552c3, 0x33a201d7, 0x81495c0d, 0xede1ee07, 0x7aa0b7ae, 0x08ff7488,
+    0xc1d1a135, 0x8a975367, 0xcf4ab195, 0x83ffbd80, 0xce9623d5, 0xa132d483, 0xd655d872, 0x88bd0bce,
+    0xa026c81f, 0xdf67fa5a, 0x9a582bf3, 0xfdaadd4b, 0x24a4db1d, 0xbc064dbf, 0x56390b68, 0x751efc9e,
+    0x28736353, 0x00a7c871, 0x88b7eaaa, 0x1a47fc86, 0xe22fa475, 0xea08750c, 0xea6c09d2, 0x433fff96,
+    0x8a7d4550, 0x7727de49, 0x2aa4ddf1, 0xf2ed460d, 0x6eafb8b7, 0xf048f80e, 0x68aea089, 0x9eeea653,
+    0x9699cb3a, 0x2d9f7681, 0xb50d6850, 0xf738a964, 0xa60ab820, 0x5a6f380b, 0x6375e635, 0x3e4690d2,
+    0x75aa111f, 0xce1e8ba4, 0x125696cf, 0xb122efbf, 0x7f20d90f, 0xe3e518e9, 0x93ff48b1, 0x71874b96,
+    0xd3fb104c, 0x0f7686b5, 0xeb214cc3, 0x5ade7635, 0x44828d4f, 0x17c76fe3, 0x11e26a4d, 0x90599a16,
+    0xbb084214, 0x957c1353, 0x30f4848c, 0x36b62eac, 0x2eebc2d9, 0xb650d263, 0x74faa8bc, 0x1ae3085a,
+    0x86bff042, 0xd5080e62, 0x808f198d, 0x95a84ae1, 0x790b91ab, 0x1b0e1169, 0x5019f1c3, 0x5e159f81,
+    0xd62602b1, 0xc8fe3d12, 0x98be65c5, 0x150674f8, 0xa6d0ba66, 0x75d69e7d, 0x567c5f84, 0x61bae016,
+    0x8d037a91, 0x8631638c, 0xf42a6a27, 0xc745d284, 0x7a2b0096, 0x7032d209, 0x189eebe0, 0x6946c9c2,
+    0xd322d75b, 0x8485f55b, 0xdfa74a36, 0xda6b12f4, 0x2021b3d6, 0x480eada7, 0x4ef71f59, 0x2d8c2e6e,
+    0xdbbae63e, 0x1eb0a43f, 0xf69693d2, 0xa30921c5, 0x6028105b, 0x4e4a829f, 0xee97aae6, 0x0311a902,
+    0xf27b99cf, 0x65909a9f, 0x6f9415b5, 0x22dd6f0b, 0xf20be8fc, 0x08fb7efa, 0x0bb6e067, 0xbaa7355f,
+    0xb7194e07, 0x053f237d, 0xbd2711b0, 0xf7b25de2, 0xb5e98e16, 0x26d2ae2c, 0x5f1bc04c, 0x086d3b37,
+    0xcc2a96d9, 0x9735c174, 0xfe448789, 0x6a1733e6, 0x3c67e962, 0x91296cd0, 0x315c39d2, 0xd4fb0b89,
+    0x43088571, 0xe263adfe, 0x3f16448b, 0xc91349e7, 0xcd960aec, 0xd659d4c9, 0x5fa3b776, 0x93b07176,
+    0x90409d06, 0x4a67ce80, 0x81d21fa7, 0x2b94f03a, 0x0df8b001, 0xb498a07d, 0xb18cbac0, 0x507d01a3,
+    0x8efd1387, 0xb2899dd8, 0x036bbd3c, 0x0f99c110, 0x783afcfa, 0x19794668, 0x2baa4919, 0x6eed224f,
+    0x302a0a65, 0x13953448, 0xed228941, 0xa53e889c, 0x7e5b07bb, 0xb9afe3fa, 0xbbf484fe, 0x48399804,
+    0x81b25028, 0x25209f98, 0x9d276101, 0xc4fa00a2, 0x9952d95f, 0x2d9d1079, 0x41fb28ae, 0xbd38782e,
+    0x0114c792, 0xcfa2796f, 0x98e2c005, 0x5b7b1b18, 0xed3747d2, 0xcc179557, 0x55c104d8, 0x5b772552,
+    0xe680a3d1, 0x2dd4955f, 0x15bda613, 0xc0219212, 0xac6ff466, 0xbce93b6d, 0xbe508894, 0xb55aee7e,
+    0x1e7b3c20, 0xb95c47b1, 0x5877947d, 0xc0efdb9c, 0x2c0e307b, 0xcd66418e, 0x0b981999, 0xb1cfd264,
+    0x3cad938d, 0xfe3d33d3, 0x231d28bc, 0xf3efe092, 0x53d4b5ea, 0xe39997a1, 0x5c13539d, 0x488c9d7a,
+    0x71359fa5, 0xe909cf34, 0x92f03af1, 0x40640abd, 0x8ac4c0d1, 0x62f976ba, 0x8b5eecee, 0xf7b1c078,
+    0x26ac7195, 0xc755c67f, 0xd308335b, 0xf77289f2, 0x2c873732, 0x8fb5fdd7, 0x60744e02, 0x5f20b698,
+    0xd137e3d1, 0x9a5cb502, 0x337562ae, 0xf681cad2, 0x8b8ed463, 0x00a5529f, 0x160a0358, 0x2706c8b9,
+    0x7d185cd7, 0x1566e0a8, 0xd5853f73, 0x8eeb64f6, 0x4a15d4d7, 0xb429d40d, 0xb4b5db79, 0xaaa790ec,
+    0xeb0bf48e, 0x2afadac7, 0x4e2659eb, 0x9dc99b63, 0xa7264465, 0xf79f162c, 0x23255545, 0x832d8529,
+    0xf462dd52, 0x76699d08, 0x216ba1cf, 0x787749b4, 0xfb0b96d4, 0x06f6f86b, 0x445d6f52, 0x474d0a14,
+    0x1323da31, 0x6e8a60aa, 0x19903b48, 0xd0c71840, 0xfb6449cb, 0xf67e2f3c, 0xf139d143, 0x861395a7,
+    0x4494dff5, 0x0598deaa, 0xc4edd36f, 0x080e1878, 0x38c82cde, 0x0135e844, 0xa9f28aba, 0x7e257ca0,
+    0x1a9fb250, 0xd573ff07, 0xdf967100, 0x6f6fae01, 0x3c5993c1, 0x14cab105, 0xbfebcce4, 0x0c279401,
+    0xae7ebdbb, 0x42fbcae8, 0xf552d5a5, 0xbdd92a85, 0x09ef3ff9, 0x0bb56d2d, 0x9e30ff7b, 0xbb191f9a,
+    0xf48f9fd0, 0x5acf9d5d, 0xc3c500c3, 0x4518d034, 0xa75821f9, 0x78b0ffcf, 0xc3737455, 0x9c5febd2,
+    0xd0a4aa89, 0xbfb99a95, 0x504ac414, 0x9bbb8422, 0xaa79241f, 0x72b080e3, 0xcb88ce38, 0xb80eac72,
+    0x7405b2df, 0x2d1f1d1b, 0x2f65c75b, 0xf9c801c5, 0x628080bd, 0x7084ff07, 0xbd3b4a31, 0xce23c514,
+    0xfa488e97, 0x555be42d, 0x773641af, 0xecbd1e3b, 0x7844e835, 0xf95969b7, 0xba99a277, 0x83cace8d,
+    0x1c562a4e, 0xa9e9d09c, 0xa1aa38a0, 0x2668144c, 0x74dc3388, 0xc0ec1003, 0x0eb7bde2, 0x3e15f38f,
+    0x73118b7d, 0x254170f4, 0x12f54e65, 0xe0361607, 0x6880512d, 0x88860e4f, 0x89a22e87, 0x1536d86d,
+    0xa2f4d906, 0x11f59549, 0xad83fc10, 0x060159f0, 0xdb924db2, 0x8a6f8240, 0x8b3ce86a, 0x32090025,
+    0xbbb63f49, 0x6cedf5d1, 0x12ff24f8, 0xe056b3c1, 0x542af86a, 0x2d5ae0d1, 0xc5d6c72d, 0xb1a5d6a7,
+    0xde220a7c, 0x6862e922, 0xe79ef3bf, 0x95f71f3e, 0xe152a1fd, 0x1d01f246, 0xb38343bf, 0xfa04d788,
+    0x8196e124, 0x89d6fa47, 0x1e56461d, 0xbab401b4, 0x641bd463, 0x43d5534b, 0x0e6c6ba9, 0x722ca2c1,
+    0xaf7e07a7, 0x13e416e6, 0x57cd8990, 0xfe723ba9, 0x2074ebfb, 0x62cb981a, 0x10f4ec8c, 0xe01da6e5,
+    0x1ed324c8, 0xf8b7cf3b, 0xddbec04a, 0xa4c34210, 0x0fceef85, 0x2aedf1c8, 0x662f1ee8, 0x4a8a086a,
+    0xf19921f9, 0xa7bdb3c7, 0xb6b69df8, 0xcd9c2f8d, 0xbfaa10d0, 0x2d65df44, 0x3b21a9e4, 0x0658f417,
+    0x7e60c3b4, 0xc8a9b78c, 0x7b3892e9, 0xc58fe99f, 0x029d053e, 0xec06a563, 0x3583cf6c, 0xca2d81c9,
+    0x393aa11b, 0x9c9a6aa5, 0x025f230f, 0xc8154b40, 0x7f4c1ce1, 0x61d09a1e, 0x36cbf94d, 0xaac1239e,
+    0x352e383d, 0xab155971, 0x5ec52162, 0x08c2defb, 0xdc931bf3, 0x7af06946, 0xd3b8089e, 0x88f40084,
+    0x83a636b7, 0xf9e12627, 0x846b9749, 0xe95e67e6, 0x423b284b, 0x7544378b, 0x87afed22, 0x93644368,
+    0xac5936e8, 0x68d96d3d, 0xf4488882, 0x5eea2b74, 0x2e78764b, 0xcdd04854, 0x1bd11290, 0xf92dabca,
+    0x615f4356, 0x16264397, 0xa94c735a, 0x7be55740, 0x8155e01c, 0x1bf7c881, 0x4e613bc6, 0x4dbfd5a4,
+    0x771c89f0, 0x60e14386, 0x41542daa, 0xd2476ab1, 0x24e3fb9e, 0x77238a31, 0xfbf295d4, 0x61b701b3,
+    0x3d47bcd3, 0x6ac6d682, 0x1a6b35a5, 0x2286dcef, 0x68c51e2f, 0x3ec3bc20, 0xa9617a8a, 0x940139d6,
+    0x24aca392, 0x819fa640, 0xed0cc597, 0xfa718928, 0xb917645c, 0xbbe19b7f, 0xde535eeb, 0x54e3db1a,
+    0x1476d0fa, 0x67091dd0, 0x3110ffa1, 0xaf21f1c3, 0xf9ee50bc, 0x84880cef, 0x121940e6, 0x009d28df,
+    0x0ab30b26, 0x72edd8ef, 0x4c8a3694, 0x834981d3, 0xedec0e25, 0x377e4c33, 0x0ffcf46f, 0xd9bbb71e,
+    0x3ed487e4, 0x96a12e7e, 0x69dfacfa, 0x939cc894, 0x155cc3dc, 0x9d2f6f79, 0x4e4edd57, 0x364eddb7,
+    0x44e6b4c2, 0xb02dec84, 0xad3bbd36, 0x866f32b4, 0x9cf31403, 0xa65a7097, 0xdfb36da3, 0x11447f36,
+    0xed5c446c, 0xa59db0ce, 0x2f5bbff8, 0x1d2726ac, 0x4c4f497f, 0x48ea3c27, 0x857ca5fe, 0x462c9f39,
+    0xbcf91c07, 0xda6b5e05, 0x50a7b2d7, 0x97445057, 0x6613bb77, 0x2d41b54c, 0xd3df93ad, 0xfd1ce9ea,
+    0x2f8e00aa, 0x42c76ad2, 0x757080ec, 0xe2a4798a, 0x09698166, 0xa0c1ff11, 0xb72bd9d0, 0x65c21dba,
+    0x12a38e47, 0x3301d169, 0xb05fa8f3, 0x8fa65a3f, 0x345e6c51, 0x2c82782a, 0xa1f018f4, 0x135c20a0,
+    0x1ca79467, 0xa0932dc8, 0xc6dbf4d7, 0x032743aa, 0xb570d8b5, 0x7e9612a7, 0x6b164003, 0x5489a223,
+    0x58c04863, 0x38ae655b, 0x3e2bc4e5, 0xde2036eb, 0xa6ac4bd3, 0x45644c88, 0x8abf0247, 0x2356e500,
+    0xe7c50c3b, 0x97d62f0b, 0xc18ab595, 0x99e3accc, 0x2efdaad8, 0xb662ff20, 0x8c0d49c4, 0x221fbf72,
+    0xddd98b53, 0x5b86feeb, 0xf2241af6, 0xf7fa7ea4, 0xd0008aa1, 0xc4ea9ed3, 0xb4288805, 0xa51cb34d,
+    0x3d7d2397, 0x04b6ed8c, 0x35c7e657, 0x4f4f84b2, 0x0fcda3e1, 0x8b652733, 0x3de130d1, 0x59cc27cb,
+    0x824ead34, 0xa9ec855f, 0x67f6ad6e, 0xb23af9d0, 0x287cbe2e, 0xaeb7fb34, 0x364fc9ab, 0xecadcea6,
+    0x3415d153, 0x57b16fd9, 0xac8b0b6f, 0x2a37a15a, 0xcc57d74f, 0x285601cf, 0x90c44715, 0xe45e3963,
+    0xffaa09f1, 0xad4e97f8, 0xbeedc8c9, 0x118660a2, 0xee9ab60e, 0x473ba2a0, 0xfa873aed, 0x5d4b446d,
+    0x930ca313, 0xd7406de3, 0x91d78f0b, 0xfa566465, 0xdff05236, 0x00821106, 0x8ceef2ef, 0xb0c9306c,
+    0x470dd73b, 0x9804c475, 0x5970c4d7, 0x17758773, 0x06d83bde, 0x15b88a19, 0x0679e488, 0xa545582a,
+    0xcc4a49f7, 0x1706f2b2, 0x4d72d0c5, 0xa237e8da, 0x9f3fcac9, 0xade7603b, 0xef251a06, 0x4d42af2e,
+    0xb8a07b1c, 0x0fb16413, 0xa2b0b5ed, 0x26f16b3b, 0x004bcfe1, 0x5332de9d, 0xac313000, 0xfa2fcaab,
+    0x6253335c, 0x586a56ec, 0xb4c85309, 0x6eb696bd, 0xac14653c, 0x9fc4dca0, 0x137a4fb4, 0x5caea332,
+    0x3fa9e615, 0xdf7de848, 0x4a8e4347, 0xccfbd5ff, 0x18e06470, 0xfec623a8, 0x2f564fc0, 0x40a743f0,
+    0x89af0fd0, 0x836a52e9, 0x1b2d3a4d, 0xea4cfaa4, 0xfa2bf404, 0x7eda0b11, 0x41dbb357, 0xde24b8bd,
+    0x6f8182fa, 0x69f2b7d6, 0x5b347101, 0x5eeee0a0, 0x337edf08, 0x00955f4a, 0xdef9119c, 0xc4265a6e,
+    0x6df14529, 0x23bf1128, 0xb3220f17, 0x402211f1, 0x196dde78, 0xa65f71dd, 0xdc5856ea, 0x69b0caf7,
+    0x732410ad, 0xb97c2f75, 0xf668e74d, 0x7025b931, 0x092f1863, 0x5a752f9d, 0x212785ef, 0x3d03b975,
+    0x31be61fb, 0x90f4af0c, 0xcf38518e, 0x632eed93, 0x96c14202, 0x6d5dd770, 0xfea2f95e, 0x0a0c92c5,
+    0xc45045c2, 0x320c2c98, 0x1e13cc53, 0xb0f52068, 0x0d8abb2c, 0x2282cf18, 0x2492338e, 0x4d84140f,
+    0xc585f5b6, 0xe867dda6, 0x443d6ae2, 0xc1243a3e, 0x121a8b8c, 0xf8e7bfba, 0xc571111d, 0x590effbe,
+    0x2b047ec9, 0x8e57b3f8, 0xe781c935, 0x370e96ae, 0xd9343f68, 0x327b5fa3, 0x1213f63c, 0x8c82e4ca,
+    0xd824ca0c, 0xc94d80a3, 0x372087c3, 0xb2e8b2e0, 0xdc24e42e, 0x53b9f5b8, 0x6e78c759, 0x2c4b9349,
+    0x9eecb187, 0xf196b8dd, 0x0650ef9d, 0x721d693f, 0x6da766f7, 0xe9e75744, 0x553c71b4, 0x3854a23d,
+    0xfab6aaf3, 0x18f4d164, 0xc3f13fbe, 0x6df527f8, 0x34907d75, 0x3a6bb42e, 0x02101a79, 0x9443ccda,
+    0x5e8d43db, 0x7863c0b7, 0x9e3132c0, 0x4d4267b8, 0x6baa7acc, 0x0ee69071, 0x7bb3415d, 0x0adafd98,
+    0x32fcc97b, 0xdfb16713, 0xbb1fe490, 0x277ffd74, 0xaa984743, 0x8735677b, 0x82466794, 0x69a46d7f,
+    0xc1bd4fdb, 0xb9a68662, 0xf3279616, 0x7c479577, 0x739b4b3a, 0xe109f084, 0x84581072, 0x09593428,
+    0x4dbe7e25, 0xf8c8f9b8, 0xf06cdddb, 0x75b1fbb4, 0x15ff7e95, 0x5355f0cd, 0x03959177, 0xe38dc405,
+    0x5a90f33f, 0xb2ddb69c, 0x17ac8003, 0x729cf728, 0x6a881185, 0xcf115feb, 0x7cf880fb, 0x65f2ed49,
+    0x2a7769ac, 0x75c00d40, 0x7b9f25b6, 0x7969be3e, 0x33df310f, 0x04f8b9f4, 0x26a98149, 0x1596f5d6,
+    0x1627be30, 0xe6bce298, 0x18ced81a, 0x9ece8fd3, 0xb606a0d1, 0x3c7ada47, 0xb44506cb, 0x574911cf,
+    0x7ea33385, 0x860815c1, 0x496830aa, 0xe57170be, 0xc6057f00, 0x8ec2a318, 0xaa0a6211, 0xe39aa4c3,
+    0x47fbaea8, 0xe2fc1b48, 0x803689d1, 0x6f6f802e, 0x64c147a0, 0x7cdd433b, 0x38a8350e, 0x9f92a9de,
+    0xdbc614ed, 0xd83eca5a, 0xb80ff507, 0x61f75dde, 0x17980dfb, 0x4d4b5d8b, 0x4d26c20b, 0xd34ea82f,
+    0x7758443b, 0x3dfe7b7c, 0xc38071a1, 0x96e9f865, 0xe232f7e0, 0x5d7a895f, 0x44f36c73, 0xa9d15a0f,
+    0x9f5e41a7, 0x01d9edbb, 0xc5d4e9b4, 0x92275982, 0xc942d03f, 0x49d2ed4d, 0x254548da, 0xd591bb3b,
+    0xb0e4ca09, 0x3e3d7142, 0x18039778, 0xa73bfd9a, 0x947342f8, 0x500917b4, 0x1a00cece, 0x3c22f25f,
+    0x04cbef3d, 0x619e5092, 0x30eb620f, 0x3a07748c, 0x571abc30, 0x5a83b260, 0x08731e33, 0xa94159d6,
+    0xec57f134, 0xe0d293d3, 0x5d9b7cc2, 0xe97bdca9, 0x2b283756, 0x3651f066, 0xfd7f655d, 0xf2cea726,
+    0x30497dbc, 0xe6c829cd, 0xe4872b38, 0x44320bba, 0x1d294e9c, 0x3a1134a6, 0xf4a2ba40, 0xb3c12d54,
+    0x3784e42d, 0x6c8c13d8, 0xb706232c, 0xbea6e0eb, 0x52121490, 0x1362d240, 0x7eea4fdb, 0xfc8ac98b,
+    0x1aa70cd3, 0x36b03036, 0xb2d62ac0, 0x3c6531ef, 0x8336c887, 0x5c104b96, 0x61bd56b6, 0x668ae26e,
+    0x24d70b2c, 0x5894548e, 0xcfb87d58, 0xaab6364f, 0x278053d7, 0x6b76c06a, 0xf884dba1, 0x40153a29,
+    0xd3e40929, 0xb5d08dd9, 0x803419aa, 0x946a0cfc, 0xab5ed1e4, 0xda26088d, 0x4b17933f, 0x1d928265,
+    0xf73c51a5, 0xbd3d1310, 0x3725dfe5, 0xd7bf8ba8, 0x78c8aa39, 0xc887c0a8, 0x391ca945, 0x228b1df5,
+    0x84ec2a87, 0x745262cc, 0xc5b66b5c, 0x826bf1c6, 0xc9244eab, 0x7072ce97, 0xb8adb90c, 0xb4bc9f42,
+    0x396566b0, 0x70426461, 0xbbc99b13, 0xade175fc, 0xff74c8df, 0xa2b00f7f, 0x348c0b51, 0x65020093,
+    0x78d2fb18, 0x8bf2202c, 0xe5405f0d, 0x70a94537, 0xc985cab6, 0x647d09ef, 0xa291f248, 0xe3205452,
+    0x65a20830, 0x05303ae6, 0x87f99c79, 0xc2158690, 0x932cbf23, 0x9816b960, 0x4ba8ed23, 0x272fb4d9,
+    0x37d613b1, 0x49221655, 0x9b4455eb, 0x424a3fd0, 0x405905ed, 0x9cef2b68, 0x6c5332a4, 0x77e713bb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000093536104789177786765035829293842113257979682750464 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66c, 0xb62aff1a,
+    0x00000000,
+    0xe6de80af, 0xa90b3d12, 0x54566e97, 0xe18d7638, 0xb583808b, 0x3118db98, 0x23f056fa, 0xc82670e7,
+    0x8252f431, 0x428b8ca1, 0x76cbac96, 0xcb211aff, 0xc4336e30, 0xd49e78a3, 0xdd2a808e, 0x4ab24a55,
+    0x02a25756, 0x48a82827, 0x6c37d12b, 0x88432b81, 0xc470f833, 0xf9a7fba6, 0xec419e5d, 0x78f06981,
+    0x25883390, 0x2e442f5e, 0xa34c6b0c, 0x98434e66, 0xefbd1b5b, 0xe23fb6af, 0x7269813d, 0x0e00859f,
+    0x86d7b430, 0xbcdc474f, 0xbb011c8c, 0xd6d718a4, 0xb38b6ab9, 0x28a64120, 0xc106128b, 0xc4c558d3,
+    0x21a1d67c, 0x4d51157f, 0x9bb66582, 0x1b3be7f5, 0x628dbef9, 0x2989b4a3, 0x336d7d09, 0xe496f457,
+    0xcc6a82ce, 0x647500b2, 0xa458b6ef, 0x975b6eeb, 0xe44865e1, 0xaee01d85, 0x2d2e9e71, 0xc386921a,
+    0x829c7c7f, 0xafebba4f, 0x7e38e7e1, 0x5aae7731, 0xcefb76d9, 0x684d4925, 0x67f6a371, 0x791b2050,
+    0x6c4087ab, 0xa7509022, 0x4db6896d, 0xc055e0e7, 0x9ed1c5b0, 0x45fcaa96, 0xb2a7ee58, 0x356291d0,
+    0xf80522af, 0x96082eef, 0xfeb704c3, 0x0c1ff069, 0x03ac0615, 0xff138082, 0xb171c570, 0xd282adef,
+    0x2a11944a, 0x6f738cc4, 0x4ce4a0c9, 0xbef479b0, 0x78a65121, 0xfeb9ae44, 0x83546fed, 0x85a36ecf,
+    0x2889b23b, 0xf6eb9da8, 0x30f39e18, 0xca1787db, 0xe02a0ff8, 0x3b810d53, 0x251bb457, 0x6d3e3b42,
+    0xbeb6c9ac, 0xc0a817c2, 0xe5d1cd00, 0xa5c03d1d, 0xef6423c8, 0x1b4dc935, 0x8ff3edd2, 0xae127d66,
+    0xdebceab9, 0x70bb6ec3, 0x753b07a1, 0xc686d089, 0x84e0ecd1, 0xb0cacde8, 0x0c28d627, 0xd4877b66,
+    0x86e4a62e, 0x95037f36, 0x0a3c5580, 0x7fd229e1, 0xf5ef41f8, 0x5671eaf6, 0xca2a557d, 0xaca985ce,
+    0x24ac012b, 0x52266687, 0x95f8b123, 0xc3d843a3, 0xa30f5d85, 0x0f035ac1, 0x46ba4531, 0x0f4bef27,
+    0xcdef6242, 0x1e02c005, 0x254ba3f3, 0x87a83cb9, 0xb03912c4, 0xa96da241, 0xa4b74a13, 0x75a39bb2,
+    0xf6f89dc0, 0x99d643f8, 0xb092baa5, 0x05c68624, 0x66017f15, 0x389f993a, 0xd14ae573, 0xd392c95a,
+    0x6cd075a8, 0x3bc7b73a, 0x5c313dc4, 0x730c4a89, 0x84ceb0fb, 0x72a26233, 0xeb63916a, 0xbd648d47,
+    0x49963641, 0x815f6c6f, 0x2f7b0100, 0xa0ef6ad4, 0x18da65ad, 0x8b3a9814, 0xaa454f0c, 0xfdf3cf14,
+    0x0a8d6993, 0xd9319c86, 0xdb828509, 0xc31b7223, 0x6a858957, 0x8319adc8, 0x9852c81d, 0xaf500908,
+    0xa374c9b6, 0x48100f85, 0xd7516331, 0x267e2806, 0x59e3b936, 0xf8dd9b1d, 0x2aae53bb, 0xacbd8bef,
+    0xa2415bf9, 0x2bf5b605, 0xd1d5430b, 0x18215f6b, 0x320d9cc4, 0x7b1e6b99, 0x0325cde0, 0xd8112ade,
+    0x26f9be77, 0xa939c185, 0xa3047c00, 0x69c56b26, 0x02eba936, 0x92833f9b, 0xf06314c4, 0x8d136b98,
+    0x7df76bdf, 0x920d98ba, 0xeaa7b75e, 0xfa7beb39, 0x689a27a1, 0x5e147f46, 0x7fc1217c, 0x29d26e43,
+    0x23374214, 0x89a5dfe9, 0xbe08ae6c, 0x563c1801, 0x6735baa4, 0x031a737d, 0x0ccf8a89, 0xd4847d64,
+    0xc35ce5a1, 0x3f936969, 0xad6b30e7, 0x7f62964e, 0x534628c0, 0x7f8ff630, 0xc44176f3, 0x2fc29f98,
+    0x723ed239, 0x3165a724, 0x3d141f43, 0xe3103b64, 0x9ba874ae, 0x828de5d4, 0xee3857cd, 0x7d76cbba,
+    0xee161529, 0xab7ddc6a, 0x4c4d494c, 0xbdeba555, 0xe12665b4, 0x79a73e3d, 0x1d21edf2, 0x9a202549,
+    0x93f46990, 0xac0a90fc, 0x3c1c4882, 0xa789cafc, 0x2ef2d7ec, 0x79d14277, 0x9f490e77, 0xc79dda40,
+    0xdc83519d, 0xe19ba252, 0x1590ee1c, 0xcd0fa4c0, 0x72350b84, 0xb991940b, 0xc371d678, 0x9f2f9350,
+    0x8f95c864, 0xc043a9ab, 0xaf162ade, 0xd074c495, 0xba915c3b, 0x3ae67fff, 0x2e154f3c, 0xd84fe7ea,
+    0xb5ebbda6, 0xb5ca2424, 0xb9fe8920, 0x34e9b0a9, 0x8e73fb70, 0x834d15dc, 0x5192609b, 0x66df753d,
+    0xbd819edf, 0x793f856c, 0xf3ca5027, 0x66fcf431, 0x30c6561a, 0x72716feb, 0x5db54ae3, 0x9f196ba9,
+    0x2028b347, 0x473918d4, 0x76456b67, 0x06f97a7b, 0x974ba715, 0x60330ed0, 0x655d84a7, 0x023ab03d,
+    0x98486b67, 0x3053283c, 0x57694426, 0xfea13e24, 0xedfa8e74, 0x18d6ccee, 0xd6c0948b, 0xe9cd4918,
+    0x96f31048, 0x086ffea1, 0x4ca698d0, 0x520525c4, 0x7f7a1d9e, 0xb422d2cd, 0xe84c31e8, 0x97495baf,
+    0x67f203fe, 0x5c1ad9e7, 0xc03cb669, 0xffab6532, 0x8ba60c28, 0x50f0ed83, 0xd6908539, 0x7da51f0f,
+    0x35022fe0, 0x34a91488, 0xe5bed431, 0x6c8d5137, 0xfca6b1b6, 0x38538122, 0x77745052, 0x37505190,
+    0x58a64a24, 0xa5a353ba, 0x2d8ef0e5, 0x75bf0c26, 0x775155c4, 0x045b56c3, 0x8dcfb30b, 0x2a6d09c1,
+    0x4b4401f7, 0xda8784c6, 0x49e72daf, 0x7a50b547, 0xd99184ec, 0x39d68e9a, 0xc9bc43f1, 0x0295389e,
+    0x7a3c7d5b, 0x60ea1303, 0x38014215, 0x486af5f0, 0xd15d265a, 0x767411c5, 0x76829eae, 0x85b805eb,
+    0xe9e9fbf6, 0xad30ca14, 0x60175251, 0xa6dc38f3, 0x61f9b7c0, 0x293e4fc2, 0x5ef898a4, 0x01ead43b,
+    0xdf55e6bb, 0xf3747b73, 0x668e2e00, 0x30c8f672, 0x47f3f887, 0x35f728ec, 0xb5b367cf, 0x4069624e,
+    0xe1d48713, 0x7ef55735, 0xb1b27078, 0x99d72d4c, 0xe4763c1c, 0xb666bd4b, 0xcd370cf6, 0xbf5f43a5,
+    0x6338718d, 0x48aeb588, 0xe6b88b21, 0xca54ce4b, 0x1598a7eb, 0x81d32f50, 0x3bb65d9b, 0xeb9247a4,
+    0x4af53e90, 0x914f7710, 0xfbe95577, 0xb56ba149, 0x32ddc116, 0xb0eceffa, 0x38e4eeb9, 0x24da363a,
+    0x79115a6b, 0xebbfa04e, 0x8d2f09ec, 0x29d083dc, 0x677ac404, 0x57b765ab, 0x1bbb4b2b, 0x2fb6724b,
+    0x703a43c6, 0x2c76d32f, 0x2156cfa3, 0x1fe2efaf, 0xca7d0cd4, 0x69832d02, 0x75d0c058, 0x7a038afb,
+    0x403ebc28, 0xe735c424, 0xa8883cf0, 0x9dc8c1db, 0x8e51c95d, 0x05e884fb, 0x6a57c392, 0xe89f38bf,
+    0xd4c067e0, 0x1c25493e, 0x0c5f4d9e, 0x5f82e683, 0x43bb73fd, 0x1be87090, 0xa607e535, 0xd231aadb,
+    0xf358d541, 0x504bb2d4, 0x04bd1171, 0x88b85c11, 0x29a49447, 0xb2a1530f, 0xf9a73524, 0xf92c67f2,
+    0xd9ee112e, 0xcbc9ee39, 0xd6443beb, 0x70e59a02, 0x0745728e, 0x0eb86b0f, 0x4ddc1c09, 0x15581e85,
+    0x1708f24a, 0x73f6b04e, 0x2d6a69c6, 0xef0fbf2a, 0xf806e01d, 0x4eeb5623, 0x6c729c6f, 0x3591271b,
+    0xb5380f5c, 0x88c3080f, 0x3460bb9f, 0x74df5371, 0x8a7c9596, 0x0b220541, 0x385668e2, 0x5a2f6637,
+    0x33ca6b14, 0xc2d56c8f, 0x0db9d530, 0x2e04ad89, 0xb0536f01, 0x11b9b4cf, 0x85b224b7, 0x564228e9,
+    0x33351ba2, 0xecd4e28c, 0x912538e5, 0x83cfa778, 0xdc0c2300, 0x2379961c, 0xfd05c33f, 0xa97ab337,
+    0xb01aa334, 0xea9c0a53, 0xc7d94d90, 0x66af70eb, 0xf2791a79, 0x6474da2c, 0xcb70e1f8, 0x4a2aad9a,
+    0xefa4fb15, 0x37e91afb, 0xac985831, 0xc5fcdec4, 0x233655a0, 0x362292fc, 0x7edb626f, 0x3c612ed1,
+    0x10beb201, 0x7218a931, 0xeb8e79a4, 0x4d90eff5, 0x8813b191, 0xbf5be1d1, 0xf970270c, 0xad47c80e,
+    0x4055446c, 0x04ba2683, 0x7ddc071a, 0x11d18858, 0x06e3816b, 0x85bd248f, 0xa1c26174, 0x25fdd72b,
+    0xb29cfdce, 0x3f08061c, 0x4d81e950, 0x5a249849, 0x96de9542, 0x80b44e01, 0x1fef0fe4, 0x802f35e0,
+    0x7b79ada2, 0xf0770e44, 0x913b9f85, 0xfc7e0559, 0xbd892bc9, 0xfb08d0eb, 0x5e894fcc, 0xbb1942f9,
+    0xd2f5ca1c, 0x30f3667a, 0xcf22d432, 0x70b42f51, 0xe178107e, 0xc0497419, 0xc82dc257, 0xffb0f788,
+    0xd78e2be2, 0xc607a6fa, 0xc5990119, 0xe3f4bfa8, 0x91e86118, 0x59d8051e, 0x1e9db9c0, 0x5b1981b6,
+    0xef6a777c, 0x49d4b8fa, 0x690714db, 0x332b197d, 0xaa6cedfd, 0x25a8b1ea, 0x5829051a, 0x0783235d,
+    0xed0db81e, 0x88e692e2, 0xf15bcf2b, 0x17efdf11, 0x91b70aab, 0x7048477b, 0xf802f071, 0x3c0fcdd9,
+    0x6afd0b79, 0x38db9cbb, 0x312551a5, 0x301b9f88, 0x06db8dd5, 0x0e97b1f8, 0x2b7c21d2, 0x937d758c,
+    0xc9eef5c7, 0x0330becf, 0x09687f9c, 0x8d86ec91, 0x5f779469, 0x25ad6573, 0x20688c95, 0x9dec892a,
+    0x35322a04, 0x9f4c2bb6, 0xfdd77336, 0x705ffa47, 0x4b245609, 0x7373132d, 0x58267d0c, 0x6fa1229a,
+    0x2ba18356, 0x705c2d73, 0x776afbb8, 0xd8a534c2, 0xbdeb83d5, 0xd0bb63bf, 0x4272cc91, 0x835e98ee,
+    0xea71f909, 0xab6614f5, 0x4a5c083b, 0x70bd5a64, 0xa81d4317, 0xc4771da4, 0xec2f1f1c, 0xd26fd8e9,
+    0x73501e31, 0x2c27c6e4, 0x8b5379a5, 0xc3ec1b31, 0x556e840c, 0x07d28e81, 0xf6795fdc, 0x57746d11,
+    0x27540b32, 0xe57f593d, 0x49e8e537, 0x91e92716, 0x2cef999b, 0x67bf3945, 0xad0fc7e3, 0x4d734cf2,
+    0xf0aec7bf, 0xbeb0bffa, 0xfd923e05, 0x44e997bf, 0x2c57ba7c, 0x8a97b1e0, 0x83cdaa68, 0xc9f84a7e,
+    0x171817e7, 0xfee1c447, 0xf95a7bd6, 0x9bf87735, 0x220066b2, 0x4d735f33, 0xdcf481da, 0xaca17dd5,
+    0xc1ab1969, 0x315fe36e, 0x39204c49, 0x544ead1f, 0x98a0a92b, 0xaf8f9014, 0x875484cc, 0x13fb0660,
+    0x27e76248, 0x3b117de3, 0x355da3df, 0xd6e9361a, 0xe14db48c, 0x4550bf9f, 0x0da5150e, 0x6ee0cb4a,
+    0x7ad01ae1, 0x831863c9, 0xc25e5309, 0x12d8e9cb, 0x7b2eaac5, 0x230a7a6b, 0x4ca96eba, 0x7efabd8e,
+    0x62940b4d, 0x7d988f40, 0x096bfe06, 0x95cb5816, 0x90e2de75, 0xad911c9d, 0x8c926fca, 0xf8ff79c4,
+    0x0c40ab59, 0xef1e429b, 0xd58d08d9, 0x8eef29dd, 0x1a0cd0f9, 0xd4097b3a, 0x01a19636, 0x4af9d8da,
+    0x9b18dd75, 0x219c85bb, 0xc73bbc85, 0x29aaf822, 0x8550a1c4, 0x1018db2c, 0xff4fb94f, 0x810c044d,
+    0x0396798d, 0xb2cfafb6, 0x75631f82, 0xd935f8e3, 0x77ff7736, 0xae0dc54e, 0xf539a816, 0x3ae7a69d,
+    0xff24f870, 0xe24fec8e, 0xd3170ab2, 0x69479309, 0xb30486f9, 0x285ba417, 0x5951d78f, 0xd2a632e0,
+    0x5f4f46d2, 0x0da6f7fc, 0x72db8168, 0x11963268, 0xa8d7eda9, 0x24646221, 0x5ebd0c85, 0x3cd1b344,
+    0x1d3f735c, 0x0c43f366, 0xbae49962, 0x7f953372, 0x3b78c7ba, 0xac7f3c33, 0xabd6c0f9, 0xf0560fbc,
+    0x59a9bae5, 0x92cd4c77, 0xf79d1d7a, 0x6729512f, 0xe2a06c18, 0x115496a1, 0x4e6f1f86, 0x8f1cf45b,
+    0x7a144b8b, 0xaf883ed0, 0x68a2388e, 0xaa019cd1, 0x1e087c19, 0x3079f37a, 0x11d0c08a, 0xf8b52838,
+    0xd9591cb7, 0x85f440c3, 0x9b7df011, 0x9efe37c8, 0x2591caf6, 0xa9284262, 0xb329caf6, 0x176c7a9e,
+    0x431c7c3f, 0x45d05c5e, 0x4dd45263, 0x706078ce, 0x86aa6c0a, 0x013e40af, 0x9fb7cf72, 0x088424d7,
+    0x4e2cd9f5, 0x75da805d, 0xd5f4cd53, 0x54cc472e, 0x9903d279, 0x373ab7d3, 0x5930f5ad, 0x62b0aab1,
+    0x9896335c, 0xb9c8077f, 0xd38f852b, 0xa04767d8, 0x30e483e6, 0xcdef5fc2, 0x34a91950, 0x91f4dde3,
+    0x462c0a27, 0x71ae2ffc, 0x69e0cf31, 0xe06b7d54, 0xc5133d1c, 0x6cc194ab, 0x2d2c1efd, 0x4f3326f2,
+    0x4267301c, 0xa119f17d, 0x93a03b15, 0x6839228b, 0xee6f4592, 0x9801c2eb, 0x323c7761, 0x7315f7e9,
+    0x0fb66b77, 0x1647de7c, 0x812ff2b3, 0xd93fe31e, 0x2c2e4528, 0x93784f60, 0x7ccc8993, 0x8f148d54,
+    0x77f180e9, 0xe00833fe, 0x9d83eeca, 0x5935b1a6, 0xa3932e6c, 0xbba19a98, 0xc241b42f, 0x4e2f2239,
+    0xd68d362d, 0x2b5fd451, 0xf747bb48, 0xe3406d25, 0x8134eef6, 0x75a89c66, 0x1ec45d0e, 0x61c93428,
+    0xb4d8335f, 0xa7ddfd17, 0x1d3fab30, 0x8bfc3dee, 0x9d31044c, 0x51773d3b, 0x10eea679, 0x1c1c53c6,
+    0x5373af7d, 0x49e81b8a, 0x65f6e163, 0x6dba2105, 0xe0bd52e1, 0x6de1e64e, 0x1f4762c1, 0x50cecf13,
+    0xca4f1210, 0x818dd6ed, 0x93b6c7da, 0x9dd5880c, 0xa22c1af4, 0x72fe4977, 0x408a6f92, 0x1e0bd3d4,
+    0xbb761344, 0x543e63d8, 0xe7691619, 0xda58119a, 0x8d7084b8, 0x88fb8f78, 0xbc8f1883, 0xad683e99,
+    0x67d87c23, 0x476e62f2, 0xe7246e4e, 0x886adac7, 0xed78932d, 0xc99287db, 0xd9d0e868, 0xbc6bb9b2,
+    0xacd8323b, 0x6f368088, 0x7a29b2bf, 0x4fb76f42, 0x252ca72c, 0x167bb882, 0x07044712, 0xf4775c09,
+    0x37d205fd, 0xa8bbbb50, 0xe36e9f64, 0x020677c3, 0x3f0b2a3f, 0x754131eb, 0xe76749ae, 0xaaa34e59,
+    0x4905ff9b, 0xb51f869a, 0xef5fe29c, 0x93b19d35, 0x781e6882, 0x9c7eeb27, 0x4cf0c07f, 0x8c78cd76,
+    0x87d09855, 0x24a8a798, 0x7a94ef39, 0xa08ba282, 0xc471e253, 0x5f50ecc6, 0x315f2c6f, 0xac5c979b,
+    0xdde55321, 0x58291aab, 0xdf4a2c65, 0xbff4e681, 0xe033884d, 0x3c490208, 0x3a4bd3d0, 0x022fbe45,
+    0x475db1d1, 0xd01a006d, 0x3ea56fe7, 0x0870f918, 0xded0b3a7, 0x5a3685dc, 0x9e8cc1c6, 0x84ef4e72,
+    0xb15fa1f3, 0x3e278835, 0x45bdf7d9, 0x0418e503, 0xd3d9e35c, 0x7d6ee1e9, 0xb0fdb9b1, 0xca891b9f,
+    0x8ce46e9d, 0x01571c41, 0x4170e031, 0xac4ebd2a, 0x0e4a6aa1, 0x62f0183f, 0x7f6074b6, 0x7d0d9d81,
+    0x9e1c9b83, 0x9b8a6254, 0x86cb6791, 0xd9a0edd8, 0x40f7dee8, 0x05b58e56, 0x25bd2744, 0x2fe59fc2,
+    0xa11bd21f, 0x41a24da3, 0x84d53a1b, 0x9b77b67e, 0xf54e718f, 0xdf49ad48, 0xbd9c6912, 0x413f32a8,
+    0x1b89d63f, 0xd54d7a18, 0xce45e3b8, 0xd5543aaf, 0x957f2885, 0x85ad3c51, 0xd2d3d9b6, 0x131214f4,
+    0x04750674, 0x8353f928, 0xa8095c81, 0x3cd1fdcd, 0x2aae35ea, 0x17c0839a, 0xe8676d30, 0x413aade4,
+    0x2f6092e0, 0xf37e7965, 0x0f4d9964, 0x40f7305d, 0x2549b1b2, 0xabf77f29, 0xe4e1f44d, 0x48ecbaf0,
+    0xf3802a3b, 0x7d15f18a, 0xbccc62e6, 0x5cd9b1c5, 0x303c2bda, 0x3909a53b, 0xc79d2dee, 0x3d23c0a2,
+    0x64d586f7, 0xc0acad37, 0xcc178b30, 0x23677bd3, 0x998860c7, 0x773faa18, 0x1a121a3d, 0x48803590,
+    0x7d9c1638, 0xd7987c8a, 0x879a70ca, 0x35d5acdf, 0xd80cff72, 0x4b62fe0a, 0x40566090, 0x9cb8085a,
+    0xe026e688, 0x2989a06b, 0xdcd86d13, 0xe483a82e, 0x215fa3b4, 0x919874ee, 0xf230c0fb, 0x276b4b78,
+    0x81211f82, 0xcdecf0eb, 0x5c165641, 0x337051e6, 0x3e9957f1, 0x91675b11, 0x02e5c965, 0x70129ac3,
+    0xcde51bc2, 0x467e612f, 0x5d3bafa0, 0xf539a276, 0xc94bd969, 0x7819e4ee, 0xfb57fb62, 0xab4d4cea,
+    0x88abd208, 0x2a94fece, 0x7c816a3b, 0x7cb4dc7e, 0x8bc5b358, 0x1bad6f98, 0x1daba44f, 0x9e2f0464,
+    0x4dacb5e7, 0xcdbbba0d, 0x85f7f385, 0x7d220a82, 0xc4618d9f, 0xf90e9bd5, 0xada0e8c8, 0xd6371470,
+    0xdcfc4040, 0xdb63528e, 0xc7f5ba80, 0xe4d0ba26, 0x2762e6cc, 0x3331d375, 0x54fb7e3a, 0x91ce9edc,
+    0xdb51a904, 0xe18095c3, 0xbc1f79ab, 0x106e8a85, 0xa78787a3, 0xd0a4c98e, 0x8e6e98dd, 0xfb340598,
+    0xa538ab7e, 0x9a813391, 0x36f4fcec, 0x21b0c23d, 0x82783d8c, 0x6a530bea, 0x453e4055, 0x4bfa7e4d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000046768052394588893382517914646921056628989841375232 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d336, 0x5b157f8c,
+    0x00000000,
+    0xf31c2d14, 0xf2947084, 0x12593ec8, 0x1f07c309, 0xbf58d88f, 0xda9a9e49, 0xe970ecb5, 0x277a4cca,
+    0x316df91d, 0xae7a8ef1, 0x825a2b4d, 0x66325f10, 0xb8529462, 0xd0e144a1, 0x24a2c063, 0xf94b8214,
+    0x437927fe, 0x821bca9b, 0xb943b3e5, 0x1992173e, 0x99b87a89, 0x022b9566, 0xbb8c12eb, 0x1aac504f,
+    0x07f0ea43, 0x8fe06727, 0xa0772501, 0xbdfd29c2, 0x3e2dc23a, 0xb92917b8, 0xde657904, 0x8dbae742,
+    0xa28d3452, 0xf602af4f, 0x2208c333, 0xa07f6935, 0x41470641, 0xe1f43a5a, 0x9372d5b4, 0xd5e079b0,
+    0xf9eda42d, 0x4d7ceeab, 0x2d92f371, 0x4ba43b06, 0x73d4cc16, 0x00bd821d, 0x7954f58e, 0x84a64102,
+    0x10a1650e, 0xc73313a5, 0xfeef2f37, 0x74024e7b, 0x778ba924, 0xd3466d8c, 0xbf3c2cc3, 0x81c91134,
+    0xe53b8cad, 0xaf110a23, 0x766d3ac1, 0x444294f8, 0xe9dfa63e, 0x8fc49a83, 0xa4b1699e, 0x7881ca56,
+    0x6dc5bd47, 0x2be23da2, 0x5d011bd6, 0x355561a9, 0x32c5a914, 0x676c2a6c, 0x642a75fb, 0xf87a640e,
+    0x1fb68ec5, 0x84aede1d, 0xcefb2ef8, 0x7bd21499, 0xee440a48, 0xbb030fda, 0x9881a481, 0x7595385e,
+    0x959fee42, 0x651827ce, 0xe69392e0, 0xebd42f16, 0xff0eb0cf, 0x320caa98, 0xf81b531c, 0x9eeda782,
+    0x55464b84, 0xa1b38584, 0xef95b251, 0x3708a4e4, 0xebd59f60, 0x47cc1afb, 0x8b90d1f7, 0x759c904a,
+    0x79fd837e, 0x4ea44fb2, 0x3bfad28f, 0x673be456, 0xa27ac142, 0x8cbeeb48, 0x42985fdb, 0x495a5922,
+    0x52c23d1c, 0x027cc903, 0x0427a912, 0x49babdab, 0x2a0d7a22, 0x43eb9f70, 0xafa8c67f, 0xc9e3eb9c,
+    0xd79536e2, 0xb8c78aec, 0x8c18ed77, 0x19795ba0, 0x76bb39f2, 0xb130d3c4, 0xec7538fb, 0x6edfd7d2,
+    0x4ad20a2a, 0x29a01f4c, 0x72e404bb, 0x43bd5b87, 0x79881a8d, 0xe4a5dcae, 0x6b31f140, 0xb4e43cc8,
+    0x30ac8452, 0x1962d596, 0xb0ace9bb, 0xa06773c1, 0xae3cc772, 0x5ddef3b5, 0xe1f31d82, 0x8a2e20ee,
+    0xde4d8bbf, 0x67869892, 0xafbc9ae4, 0x390d3a49, 0xa2ed673d, 0x0a07f024, 0x1675e321, 0x406d920d,
+    0x7c74527c, 0xa23c941c, 0x65747685, 0x2bc4d6f9, 0x6b7ea190, 0x30877c5e, 0x990d3673, 0x2007c99f,
+    0x5206178b, 0x1ec69351, 0x56355015, 0x7e29dc60, 0x5008da01, 0x2cf9b64c, 0xd10acf38, 0x054eb46f,
+    0x67d226ff, 0xe3849116, 0xea2050de, 0x10c97a0d, 0x0913d5a7, 0xad465939, 0xf3e36a52, 0xabefd351,
+    0xe61822e4, 0xd6a0c4a3, 0xcb47c399, 0x66997925, 0xf33b38e6, 0x9f8f1d52, 0x505bc41f, 0x0f40f9f8,
+    0x19de668f, 0x1d1165fc, 0xef79cbf8, 0xde1f5818, 0xe4e9d587, 0xfe5c1b24, 0xb462319c, 0xc6ee01e2,
+    0x4bbba661, 0x5e205723, 0x88ef1cfa, 0xeda363af, 0x02b1c68e, 0x2cec4bdb, 0xa854ebd4, 0xb5b83fca,
+    0x2c629b93, 0x874b8138, 0xd84f3fc4, 0x635d1b37, 0x7b83f2c8, 0x698bbbe0, 0x48709d55, 0xd3eb6d5f,
+    0x1c19a64a, 0xa378a075, 0x519cda59, 0x582088ff, 0x31ef3ea1, 0xf5c5f8ef, 0x86e9ab01, 0xdd58414d,
+    0x76624f28, 0x21b715ed, 0x710b94f4, 0x1b7b1377, 0x649c1cf9, 0x0825daf8, 0xf675a0cf, 0x1ce2d706,
+    0x2cdfbf79, 0x305ec3d9, 0x3eddf029, 0x96cab1d7, 0xd2e02ce3, 0x9656976a, 0x512c9d62, 0xf74ac8d6,
+    0x0fb147a0, 0x3ecd6d5e, 0xe0c9005a, 0x13c2fc62, 0xa2eae114, 0xf308f6f3, 0x33100fea, 0x925a4f7a,
+    0xd0fbf369, 0x8ad9b2a3, 0xbd328a3d, 0xcaea1e76, 0x8f86d7c2, 0x8291f2c7, 0x990b0ac9, 0xec220feb,
+    0x463db519, 0x5aa811d5, 0xa0bc774d, 0x98ccbb34, 0xc888cf11, 0x346e6ba5, 0x81497c39, 0x53d5c39b,
+    0x088640e4, 0xf687a1cf, 0x7871e9a8, 0x4bd1fcf2, 0x6018c910, 0x723296b3, 0xe6311e2c, 0x0c488e42,
+    0x50a0284d, 0x836806a3, 0x95222611, 0x69fc0d88, 0x74c0ba98, 0x0f10fc09, 0xb841db27, 0x96803749,
+    0xdd615d65, 0xb2923a42, 0x8b1fbfe7, 0xb5a94345, 0x823be944, 0xf40b5f7e, 0xfaa70c34, 0x9d9fa624,
+    0x4ac53e6e, 0x84cc6131, 0x7a233ce3, 0x85391084, 0x1e3b4cee, 0x83fcb365, 0x322a1c43, 0x9f97476b,
+    0x4f0d6611, 0xf459794a, 0x6098c218, 0xede80088, 0xb66fef72, 0x690fe47e, 0xa0c0c546, 0x1431b5c8,
+    0xdd73107b, 0xd90fe6e5, 0x88bee4a1, 0x87214dfa, 0x2685b667, 0xa49759ec, 0xe6b0d8c7, 0x9b10912c,
+    0xe50ee76a, 0xd04332fa, 0xcd1308d1, 0xbd98ec61, 0xf3e6bb1d, 0x9b319988, 0x624a40b8, 0x8ad7a109,
+    0x4264cb73, 0x237e441b, 0x47523f85, 0x72d20665, 0x99fa88f9, 0x845a15b2, 0x42983d34, 0xe5cb5285,
+    0x50b93e7e, 0xdf8ec495, 0x04f2879c, 0x6903f290, 0x5138456c, 0x98d200da, 0xb41bbad8, 0xc23e2269,
+    0xf8f092da, 0xb26c2312, 0xb5a63e09, 0xfa3ba91a, 0xe7a3c9dd, 0xfd768a1b, 0x0d3f9fdd, 0xb880b92a,
+    0xc2676fcd, 0xb06c8284, 0xa96a767e, 0xe580267d, 0xeb9c0d50, 0x45f7a10a, 0x17ec93d2, 0x11d5e570,
+    0xad2e203a, 0x8fb4fdeb, 0x8e19ae27, 0x98397c97, 0x5fa26b30, 0xd445d3e4, 0x37aadb55, 0x38af2753,
+    0xc00862ee, 0x96ce9682, 0xafab3143, 0x05ea3b2e, 0x85fb75a3, 0x4f7bd18b, 0x90c0926b, 0xaf9700f7,
+    0x32adccf5, 0x654b53dc, 0xac3a830f, 0x9d357418, 0x54ac80be, 0x71d2d51d, 0xab90ba61, 0xd6bb0655,
+    0x6607d308, 0x515b743b, 0x43a10d6f, 0x7cfbb841, 0x9ea69832, 0xa6459165, 0x2d1d8e6f, 0xc7a5ff47,
+    0x7f1d3ec9, 0x4ad557b6, 0x2c4f9b3f, 0x6ef600b4, 0xd6a3def4, 0x6d962155, 0x712586bd, 0x147ea1b5,
+    0xec1c4857, 0xec92c225, 0x85de2281, 0x5b6265d5, 0x67510ba2, 0xf3b25465, 0x6aeb665d, 0x5c0ff965,
+    0x6641b27c, 0x7aa1e4ba, 0x51478635, 0x1abd2146, 0x9f2856cc, 0x52b95592, 0xf75b651a, 0x671ce92a,
+    0xbf14f7c8, 0xb4135c91, 0xbfac135a, 0x0f321bb0, 0x8524ef8e, 0x7d59e459, 0x7e85a818, 0xde4c1c40,
+    0xb4e895dc, 0x77edad89, 0xe38bac44, 0xae44e7c0, 0xae863279, 0xc57d9c34, 0x8d41c9a4, 0x243be79a,
+    0x10c4258a, 0x3e6d24a5, 0x44661dea, 0x06d45124, 0x4afd5a29, 0x640e8c7f, 0x64d03636, 0x66d8b72b,
+    0x25f7ad59, 0x99917652, 0xca93ee25, 0xa028b094, 0x83da2a4a, 0xfd0aa1cd, 0x57a4ecc3, 0x306f75d2,
+    0xdb544eff, 0x3c4eeb8f, 0x83ea3f0a, 0x3ee6fdc6, 0xacf4e6ea, 0xdd1ee670, 0x61882b33, 0xb970dfe0,
+    0x24323c46, 0x0a10ca8b, 0xbc60d2df, 0x31129721, 0xd214708f, 0x651a06dc, 0x8ec95cad, 0x35fc0b2c,
+    0xd1032be8, 0xee8525c2, 0x19a3e4d5, 0xb5747ac3, 0x8fc7a9d9, 0x7150d87e, 0xd83cd930, 0x81cfe417,
+    0x4b3ff0cf, 0xbd74c09f, 0xac21f3dd, 0xa5d5c480, 0x9c502ce0, 0x22d461b1, 0x50385d98, 0xbe0df365,
+    0xc04819b8, 0xb2511203, 0xd5d75139, 0x167b2f2a, 0xeef20f3f, 0xd786f9bb, 0x8a8a3334, 0x0b9c41f4,
+    0x1ffa7970, 0xcfd4f458, 0x0925f32e, 0xb156e0dc, 0xe91827d2, 0xa0e22805, 0xc4b73b09, 0xdad7335e,
+    0x97c02533, 0x0f9dcdb9, 0xdcd489c6, 0xaecfce49, 0x3da6bf31, 0x9585a4fb, 0xfcd39d61, 0x2517b7a5,
+    0x84ea1617, 0xd3e19ecb, 0x09c6bb05, 0x052df7f1, 0xe3f68808, 0x604126e3, 0x86f184a5, 0x335fd1a9,
+    0x21daf6f4, 0xf4bd16e9, 0x896cc775, 0x3d3984d3, 0x11173188, 0x55e66d7a, 0xf615ab88, 0x6ce2e0e1,
+    0x33695319, 0x3dd00125, 0xa08a2cc0, 0x1f7e7928, 0x9da4f24a, 0x6eb09ff6, 0xc89de628, 0xde20804d,
+    0x9d89b88d, 0xd2add348, 0xdee7736d, 0x0e8899dc, 0x7b629401, 0x5af15a77, 0x4463ece6, 0xc0822d88,
+    0xcbdf4773, 0x4de82fed, 0xda1b9c3b, 0xe30e58c0, 0xb7bc08ac, 0xebdc2cbe, 0x4ac48e0c, 0x71292832,
+    0x3d2e9665, 0x8e9c84e3, 0xb486e4c8, 0x83d00e07, 0x60df1b4d, 0x8cf9aba9, 0x8f326078, 0x5d6f31c8,
+    0x727a77c5, 0x810fae07, 0x0e439153, 0x30844816, 0x2ba38fd1, 0xa24f33c6, 0x0791e8d6, 0x930d1e6f,
+    0xd0369959, 0x9994776e, 0x340fc04a, 0x162c410c, 0xe1e23a1b, 0xba2262b3, 0x0ff8b262, 0xc7fc0b14,
+    0xcac7c77e, 0xb84a5a10, 0x97f72397, 0x17143ed7, 0x1ea1d0c4, 0x753180f6, 0x2573343d, 0x6eada10b,
+    0xf347b8a2, 0x460d3321, 0x1d45f3f7, 0xa9919f8c, 0xda4eb694, 0xddeb5f8b, 0x75fcd622, 0xa75baa9d,
+    0x92b27226, 0x70d2a256, 0xb2a0b474, 0x5fec73e6, 0x1a277c24, 0x3cda951a, 0x7742a7df, 0x5fd82d0f,
+    0xc5ddc8fe, 0xee19e1b5, 0xc3b67267, 0xa808a5a5, 0xfd1dd2ba, 0xd4d4b52f, 0xe86b986c, 0xd3a1e29e,
+    0x89b45fa0, 0xbdf89761, 0xa3c6ff24, 0x44c362ae, 0x6851f1c5, 0x07a26c39, 0xedf6a773, 0x300bf87a,
+    0x524bc0f2, 0xf91e784a, 0x1ee038b6, 0xa27b35f7, 0xedb69fcf, 0xe8f8a437, 0xb492af36, 0xbba2c790,
+    0x96eb18b2, 0x0549955e, 0x19c1de95, 0x07ba9364, 0xf3467af0, 0xfe1da7b2, 0xe5fe062c, 0x44dbadd9,
+    0xee2af695, 0x9fbdc22a, 0xca45b6a1, 0xd46fa5fe, 0xb8d024dc, 0x374dc511, 0x7a9690c8, 0x302b3030,
+    0x7792840e, 0x8abd507e, 0x3e2e3c76, 0x009b9c01, 0x934bfc81, 0x8bf9ebba, 0xa28d6594, 0xa92141db,
+    0xf55fed26, 0x205d4b97, 0xb5be5385, 0x5dd07f57, 0x6b6bfb3a, 0xc87999a5, 0x14f718d5, 0x2a0e42d9,
+    0xb7a564ba, 0x77468a93, 0xe3bafda0, 0x54951655, 0xf5a3bafc, 0x29c867f9, 0x9e9c56f8, 0xf4d249a1,
+    0x1c9f739a, 0xb3546bb8, 0xe74f18d6, 0xc2e49d09, 0xfa308093, 0x175b6de2, 0xdc66bd18, 0xcef8d814,
+    0x4c13d4c8, 0x663363f4, 0x627d1180, 0xd0ea659f, 0xee621b03, 0xdf346d18, 0x18597ef1, 0xe6c84733,
+    0xfd606bf3, 0x4bf04f99, 0x261c519b, 0xc67158ed, 0xbf7d0f97, 0x5cbf391e, 0x8c5dfe9d, 0xa753b42c,
+    0x70bb8611, 0xd623e87e, 0x3ea91580, 0xd6efe561, 0xb3320cf4, 0xbc23189a, 0x16002938, 0x875ca0c5,
+    0x78e112ca, 0xb0bc4a26, 0x07234bcb, 0x77358e79, 0x04cbc50a, 0xba450b38, 0x9b19f4f3, 0x789a9f05,
+    0x3d8807fa, 0xf1ada1f7, 0x186f2610, 0x60b6e056, 0x4d12ed60, 0x917109a0, 0x952a588c, 0x74f2a391,
+    0x416d128a, 0xb266c5c6, 0x6db8f6fb, 0x00105349, 0xbe12a0c1, 0x4a12ba13, 0xba8e0247, 0x793357af,
+    0x88fb3b27, 0x105e500c, 0x958a3901, 0xb99c43c0, 0x447762bb, 0x38923526, 0x15637b4e, 0xd2e2dc47,
+    0x1aa243f0, 0xb2af092b, 0xfa35523d, 0xedb2f26b, 0x32c39d50, 0x6ee4cb01, 0x6ab27fcb, 0xf99b8f2a,
+    0xc6d74c7a, 0x842732ab, 0x01330260, 0xe2f9ad98, 0xa4958c27, 0x565108fb, 0x1dc8c9bf, 0x49b04338,
+    0x3c2e74e2, 0xf6f26fc9, 0xab0f1403, 0xe228e93a, 0xea670cc8, 0xa6e0bdae, 0xaef7f47d, 0x363a910d,
+    0x8cc7b10f, 0x3b5a9920, 0x0c459710, 0xaf9bb96d, 0x0753b5ca, 0xde147981, 0xf487fd1d, 0xec165437,
+    0xc17c21c8, 0x1e1a04fe, 0x4ca88c0c, 0x77fd88b6, 0x6efe9090, 0x28569c8f, 0xa6c606d6, 0xab76a6f9,
+    0xe61ef62d, 0x13c7805b, 0x91801732, 0x65b200e0, 0xb13d9b5f, 0x33a6f1b4, 0x881c460b, 0xa49fb371,
+    0x1f9a9461, 0x1a8d4b42, 0x7e8cb98c, 0x0f7b9dfb, 0xd504d763, 0x25253e3e, 0xf6a42c7a, 0xdb53840f,
+    0xaab02850, 0x85608ef3, 0xfd9dfc18, 0x58badceb, 0x408743f6, 0x1037148a, 0x5d449492, 0x686d9a08,
+    0xa8d7df00, 0xc8de0f4e, 0xfc06f2e4, 0x6ede2ede, 0x98baa36c, 0xb7436560, 0x3371a486, 0x7cc5d321,
+    0x4936da74, 0x736326a5, 0x1afe36df, 0xfcc8140a, 0x816c9963, 0x4311908b, 0xb66f49b6, 0xac48e23d,
+    0xb5432387, 0x0ff320a0, 0x10e194bd, 0xcee61d9f, 0x2607ecf0, 0x390a5a42, 0x10685c5e, 0x81fa0c4f,
+    0x0460e62c, 0x14340952, 0xc097eb6f, 0xb3c26d2d, 0xea53cbd6, 0x33468e7b, 0xf04bb257, 0xe60ac105,
+    0x8eacaa52, 0xdfe0c25d, 0x263e980b, 0x41299af9, 0x17d8a52a, 0xfc727330, 0xdd8147ff, 0x2a0b1f77,
+    0x34ae1064, 0xce244d51, 0xe9c50302, 0x4b4aaf2e, 0x45e2e132, 0x4b5bebb5, 0xb7d41144, 0xb82112f8,
+    0x35a1a13e, 0x29c9a46c, 0xbace86cb, 0x56f6a323, 0xf890de7b, 0xe82fb8c4, 0xfb39a976, 0x1a45c584,
+    0x87d6dab9, 0x558d63a0, 0x1774876c, 0x0f38ed0e, 0xde0cc7c7, 0xaa96d6a7, 0x76e9ab07, 0xa3315ef3,
+    0xbb2f85d1, 0x7ce48d44, 0x5ef0227d, 0x7474a0ea, 0x065d28cb, 0x3de8daba, 0x0ef49606, 0x919ec0b5,
+    0x1cd55466, 0x25e50e46, 0x4c8d4524, 0xf8d76a30, 0x5df91ceb, 0x16a47f6e, 0x7080ad42, 0x6456cb00,
+    0x773749c5, 0xf39c83b3, 0x89bcfb10, 0xa3ce7f53, 0x50bee2ef, 0x88398563, 0xaa98fa17, 0xca86637b,
+    0x8715244d, 0x858a9b08, 0xd8594824, 0x4fbd001d, 0x0755f485, 0x4c9aa100, 0x4b8b00e0, 0x507ca5d7,
+    0xf69871ef, 0x3863d3af, 0x426e0c01, 0x013595e4, 0x7d08e828, 0x4d02a0cb, 0x4b0393a4, 0x7b91a2e5,
+    0x774611c0, 0xa879ea21, 0x194180b6, 0xaa1e322e, 0x10bac50d, 0x8c560bb6, 0xfa3aca9b, 0x7a66ba52,
+    0xfc555dd1, 0xe82115b1, 0x537d31af, 0x2fa82c5b, 0xcb9b4315, 0xf6b3e2c1, 0x27cbac1c, 0xa4f47872,
+    0x2a283d03, 0x3ff2f239, 0xc0c226f9, 0x49a7cc74, 0xf56b3905, 0xeeaec398, 0x3f9af23e, 0x045df94b,
+    0xda7677c0, 0x9a46f73a, 0x990a58a8, 0xfca181e0, 0x8f572cf9, 0x00e8bc89, 0xcff3414a, 0x801e3f55,
+    0x63081c2d, 0xe41990de, 0x2482defb, 0xa16d71c3, 0x5ef2d5b5, 0x081afd1b, 0xb5c7c3f5, 0xb398e22d,
+    0x235b9f99, 0xfa3b1ee1, 0x1db4ed23, 0xef9945dc, 0x1c1a0b5d, 0x2a7b52e0, 0xb9c97a3f, 0x820dff07,
+    0xcbf97e5b, 0xbb398543, 0xc95f398c, 0xe682439b, 0x97a722bd, 0xf72661c4, 0x1b99ee55, 0x56f73f2e,
+    0x61a48816, 0x0507f1fa, 0x92a1cb73, 0xe779ca4f, 0x8ce7c45a, 0x14605f00, 0x3683bc4f, 0x02889af2,
+    0xa74d698e, 0xb25eef13, 0x8bb69b1a, 0xa2b02f79, 0x3f49f554, 0xb2ed1233, 0x26e7c2a3, 0xac00344a,
+    0xc817cbc7, 0xc0526de7, 0x38433edc, 0x1fe354f2, 0x8d20efa8, 0x79c67296, 0x3dac4fdc, 0x1dcc9f25,
+    0x5c402003, 0x01fc464a, 0x91ef5f72, 0xa74b3f62, 0x0ed79bd8, 0xa8897d35, 0x03ce0583, 0x0aac746a,
+    0xa23d1411, 0x5b9c3033, 0xf0628eb5, 0xe756f0b2, 0x16ad6bf4, 0x3a4ce99a, 0xbe0e0b1f, 0x8984deae,
+    0x0193e5fa, 0xcaaf0592, 0x734b9f2c, 0x57d01f66, 0x62dea98f, 0xecdac077, 0x81bddf75, 0xacf0c53e,
+    0xcbe52e1b, 0x9efcebc5, 0x88f27820, 0x8cfda5ed, 0x0e72c470, 0xa95b6dbe, 0x272856c6, 0x158d7eff,
+    0xa17a244d, 0xffbf8dae, 0xfc524d2d, 0x3834ec2b, 0x718203f2, 0xc1a3908a, 0x747fe387, 0xccfa2832,
+    0x07dbd10f, 0x3ab4f000, 0xfb2e4b5e, 0xab39bf1a, 0xb9c4f33e, 0xa5c1fe34, 0xeb39f381, 0x0911fee7,
+    0x6d91d3ce, 0x2e084e0a, 0x5df0940c, 0x3c284e18, 0x7e71b094, 0x38ca06ec, 0xb8a442b7, 0x0c800052,
+    0xd0c73428, 0x206c50d6, 0x8bd014f4, 0xd52b2dc3, 0x896f94db, 0x3c573980, 0x5b26fde4, 0x2e5393c7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000023384026197294446691258957323460528314494920687616 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699b, 0x2d8abfc5,
+    0x00000000,
+    0xf978c781, 0x2f4a0767, 0x80c0346d, 0x09641f93, 0xb0e58110, 0xb965cb21, 0xebe5cf25, 0x06108ba0,
+    0x33a3b073, 0x76298c38, 0xd846f9f1, 0x9bdc7087, 0x3fc90869, 0x9e8b3c5f, 0xa4602fcb, 0x1480875f,
+    0x481e8274, 0x008c8816, 0xeb148ca4, 0xc7dd4e1a, 0x12120be3, 0x3a2905bc, 0x7b987859, 0x84949565,
+    0x45bf2f7b, 0xb9e5b549, 0x9ea45dea, 0x5d27c883, 0x2cc0b1f2, 0xdb465219, 0x20100834, 0xcf29e640,
+    0xddbc0c45, 0xbdd4b0e2, 0x6f515db4, 0x49092a8f, 0x290a46bc, 0x0bb7aabe, 0xf2f38f0f, 0x84d6f94a,
+    0x27678b30, 0x6ced6bc6, 0x1ff3c76d, 0xdfb655e8, 0x766a632c, 0x103977e9, 0xb5e3f671, 0xe3890f7c,
+    0x847057a2, 0xe2d8c845, 0x18037014, 0xada4365f, 0xecf4a424, 0xff4bcaca, 0x20803359, 0xcdfeae7c,
+    0xa01be6e3, 0xd91dab69, 0xc5a5276e, 0xdaa79c45, 0x88aba310, 0xd6217208, 0x13f25f30, 0x7b5d4a1b,
+    0x7c1609de, 0x181172fa, 0xb4a98eee, 0x49590582, 0x1b90670a, 0x27c08fe9, 0x440edcc1, 0xdde0df78,
+    0xf4f68ad5, 0x9d0dce0b, 0x00369921, 0x0f9e0f24, 0x712762b0, 0xd7d4652d, 0x5fab576c, 0x9669a34c,
+    0x09673215, 0x438098b5, 0xd8005bc0, 0xbf81ea75, 0x6a319e60, 0x2daa16b5, 0xfecd16fd, 0x519e1608,
+    0xf3ed061c, 0x9960c18e, 0xeb39e1d6, 0x5520e38c, 0x835f638f, 0xddc10272, 0xd13d9dac, 0x135d367b,
+    0x9843158f, 0x032b8a9a, 0xe7c399d1, 0x3e3b556e, 0xf2f6e902, 0xd628c333, 0xb048db00, 0x243ad73b,
+    0x7914a047, 0x9e8309b6, 0xe7b2eee1, 0xe0acfab8, 0xfced7341, 0x0d9fafb0, 0xf3585a2e, 0xc14f8b1d,
+    0x1d31a307, 0x2a99d2ee, 0x2e62cd7d, 0x6d0a20a6, 0xe92edf92, 0xc8a74056, 0x10b92c19, 0x2c716027,
+    0xec6834e5, 0x45fd662d, 0xdb3599eb, 0x227f100a, 0x41a54ce8, 0xa8a699fb, 0x8ee72531, 0x9713399e,
+    0x65d6537b, 0xa92407ad, 0x11afc3a4, 0x0258937e, 0xa80111eb, 0x8a525f14, 0x1c11f6fa, 0x8ffc7f89,
+    0x64f488f6, 0x0c2b6f6c, 0x1f58dbea, 0xa9e063b6, 0xb65a2fb5, 0xf91bf45a, 0x8ea763fe, 0xb7e00002,
+    0x73441a83, 0x36b30a3f, 0xb056c04e, 0x2b967ad3, 0x43d50a4f, 0xc6fd5a64, 0x49aa44ee, 0x427a0117,
+    0xf38bccfb, 0xc7987e5c, 0xbc00eb71, 0x70e660aa, 0x2de3e0b5, 0xd55615f9, 0x5bd34c99, 0x8c1c1f63,
+    0xf80eca0b, 0x4cffaada, 0x7457e4ad, 0xdf518f2b, 0xccdde0cd, 0x22b8c82b, 0x31b14410, 0xdf0f5aa3,
+    0x24ee931f, 0x082345a1, 0xef8fb5e0, 0x05a8c814, 0x5d7ecd09, 0xdf7bf4b8, 0x70d0da0c, 0x32cf7510,
+    0x276432ff, 0xd5c8af77, 0x5dc27713, 0x1767e689, 0x72f2c00e, 0x17250ef5, 0x46f3c78d, 0x89939090,
+    0x210a51fa, 0xe0260f9e, 0xf0d6c156, 0x6d5708b9, 0x2d815cb5, 0x15005d3d, 0xce86ff8e, 0xc90c3f4c,
+    0x84d50fe2, 0x8923043c, 0x1b80ce88, 0x767ecf89, 0x33d5645e, 0x90b14cf0, 0x5a0bb012, 0x478b9fec,
+    0x4f49c3ac, 0xe750fd27, 0xda2dbdc9, 0x6f332147, 0x6585e640, 0xedd583f2, 0xdbea5486, 0xc79f1553,
+    0x5cbc5888, 0x4bc0d5db, 0xb1133ebf, 0x1d0c9fae, 0xa69f1695, 0xa1953cb9, 0x4682f8be, 0xc0c36f73,
+    0x314637a6, 0x141ad97b, 0xa9f7f4cb, 0xde74dbe9, 0x7871ac27, 0x41f22cfc, 0x5192e157, 0xb4a7137b,
+    0xfca43453, 0x0548fd27, 0x5546cf6f, 0xa00bfd97, 0x6c5efd9d, 0x55ea120f, 0x9a1ac333, 0x7af264f5,
+    0xf45f890c, 0x6360c84a, 0xb03d9e58, 0xca593033, 0x3bc7a305, 0xea1125a4, 0x68234a78, 0x53840316,
+    0xd3ce0fa8, 0xb15ef9fc, 0x5fbb0686, 0x3341d1cc, 0x70d1bacc, 0x61aff01b, 0xeee9412b, 0xa51d97de,
+    0x01dc8b12, 0x3d3ab000, 0x02a7786e, 0x2bb137c2, 0x154bf5c3, 0xd439108e, 0x10ba99bb, 0x890379b0,
+    0xc56a6dd2, 0xb6a6c3da, 0xb582d524, 0x9dbbea72, 0x24f703e9, 0x72596324, 0xb723e509, 0x7061b373,
+    0x6795825b, 0x1b64e910, 0x3cee81b2, 0xe9ebb55a, 0x89d82cba, 0x83eb3004, 0x6de702c0, 0xd0f80f36,
+    0xbb4c2f30, 0xa5bbc2ba, 0x082f349b, 0xeabc2d7b, 0xac461878, 0x49fa41be, 0x199f4f0e, 0x20e95b99,
+    0xce5a2b37, 0x55bfff17, 0x0efb2050, 0x5e3a237d, 0xdcf4cf01, 0xdece1b21, 0x3b7009ae, 0x4ef3e912,
+    0x27d61654, 0xb8e709b2, 0xae198950, 0x26dfd84c, 0x7cf95149, 0x37620da9, 0x1cad99f6, 0x48e95457,
+    0x54d8cd31, 0x511ad9de, 0x90f31602, 0x6d7db8ef, 0xcc28e86c, 0x8daacc7e, 0xbd3af756, 0x68b07296,
+    0xba3f4ae2, 0x9b3423f0, 0xd1c77852, 0xc47ded32, 0x38d4438b, 0x9a525678, 0xabc97ca9, 0x3d8f71f7,
+    0xe18abe58, 0x54dc6bb3, 0x11726ae1, 0xdc5e20b8, 0xa0f674f4, 0xe02fdbb3, 0x1da8763e, 0x09841bdd,
+    0xf24159e1, 0x6ec4fb4f, 0xcf6e3476, 0xb94e091f, 0x58d5d8fd, 0xb000536d, 0x07a54329, 0xa3a72159,
+    0x5fd12657, 0xdde4dbf6, 0x9d2c4627, 0x50d66d07, 0x82ea8fc2, 0x730c1df5, 0x54081465, 0x6cdf05c4,
+    0xd7992b0a, 0x57c1ffd6, 0x492d7b8e, 0x6d91a4ca, 0xe5552b5d, 0x77f3c407, 0x156ef06b, 0x4efbe74e,
+    0xd8c0b1b9, 0x94371caa, 0x633f106b, 0x5b98d3ac, 0x2f84af53, 0x625977d4, 0x752f8709, 0x2651acf1,
+    0x55cc7422, 0x97369bd3, 0x23da4fed, 0x4288d448, 0x4fa44dd0, 0xa28d52d3, 0x7895fbff, 0x8d18644a,
+    0x7983259e, 0x652507fa, 0x17cd643a, 0x75368872, 0x9a4df39f, 0xcc486ad5, 0x02d2f775, 0x79e06afa,
+    0x6edc459f, 0x9818b5be, 0x7326c5a1, 0x3d8aa9b6, 0x941a721a, 0x1c8b645d, 0x377ed104, 0xb25c90af,
+    0x3657e214, 0x72326def, 0xb8e04c43, 0x9606da6d, 0x15c7d33a, 0x7364f2ab, 0xc041785a, 0x48494a2c,
+    0x88a0a5e5, 0x179cc011, 0x2fedec5e, 0x0599ce86, 0x9dac86fd, 0x3e5c5b38, 0x2a3f19a7, 0x5a5b1c5f,
+    0x7e75fa53, 0x1274ef6c, 0xc1d92a2e, 0xda2ab3b1, 0xb64b5d95, 0x55f67921, 0x7e2ba0d3, 0xdbb7d6cb,
+    0x0eea4cc3, 0x448ff997, 0x4a7a68a1, 0x55358645, 0xcacf7056, 0xfc57d9f2, 0xdb60a64c, 0xa94cec45,
+    0x65b8b151, 0x1b01d787, 0xfac2f048, 0xda662ab4, 0xbad8c473, 0x375451cc, 0xf359cf42, 0x4f385047,
+    0xeb2da8ba, 0xa80598a8, 0xe9ddcec3, 0x4da5995c, 0xc57c84b3, 0x29ae7caa, 0x4e38ab73, 0x741a14b5,
+    0x5a3de22e, 0xeb2c0d62, 0xb5c31d30, 0xb370f1d3, 0xfa71adc2, 0xd677a1be, 0xe99d1f4a, 0x09ebee3f,
+    0x2dd9d5b8, 0x1841ba80, 0xee60e641, 0x3a477ad7, 0x47225b09, 0x660c1c7b, 0x2e41ecfa, 0xc47a9299,
+    0x48f5de57, 0x4c89bf00, 0x73a3cdba, 0x71f9f41b, 0x895795d5, 0x115c3ee6, 0xb1f7557b, 0x982bbe8a,
+    0x7fd8722e, 0xcd26adb4, 0x963bd050, 0x5b7389a5, 0x04df2972, 0xde427f27, 0xeae24255, 0xe77cd37d,
+    0x11937ce2, 0xd5ddc853, 0xfcbf766d, 0x76f00eec, 0xba0c4be6, 0x640ffadd, 0x8a380b9c, 0xebe6c8e0,
+    0x64f4fb3a, 0xa665086e, 0x41ee0c81, 0xb5ecea78, 0xc82b3c35, 0x862c0c78, 0x7f208337, 0x3d2b607b,
+    0x2138cf83, 0x7fd7b99a, 0x166bbf1c, 0x5f39fd64, 0x1a2af2a6, 0x01e79ffc, 0x1e993595, 0xa7905e15,
+    0xf44ead66, 0x7294895b, 0x425609d2, 0x3ca4884e, 0x854942eb, 0x83f09c7b, 0x73050984, 0xffc8e2f4,
+    0xb9efdf84, 0xfc7b50d1, 0xd27e487e, 0x30e05a32, 0x404ee87a, 0xca2bf978, 0xd49b5710, 0xfc9f81b4,
+    0xca85e6af, 0x8a111845, 0x678989bd, 0x6af9039f, 0xfb72745f, 0x6f7b5d21, 0x35da2b04, 0x5781aeef,
+    0x5dec1c20, 0x4205e752, 0x27a46376, 0xb046dca5, 0x2fa29ea8, 0x65a93f58, 0x1ae05eeb, 0x339ff3a3,
+    0x209dbdda, 0x586dda19, 0x7ed5332d, 0x6eeb2dfa, 0x8c1438ae, 0x1e5dc478, 0xb282e227, 0xb4937ee3,
+    0x931519bb, 0x046da0cf, 0x0ba4a611, 0x87e0ab25, 0x20e528ce, 0x32a00b67, 0x5115a9ee, 0xbbcbfda9,
+    0x9c9ac1db, 0xc9c56c73, 0x3148e674, 0x4827d916, 0xb06368b5, 0x46340f0c, 0x1f6d8ec7, 0xf8d2e9cf,
+    0x0a3a5e80, 0x111e2f0c, 0x78ad48f1, 0x1c84f4ee, 0xf10d45e5, 0x333e64e0, 0x3d0235ad, 0x73a51314,
+    0x8ed1d8c1, 0xd5df56ba, 0xf63a697e, 0x0b24ac58, 0x56de947b, 0x96d9800f, 0xdbc1c31f, 0x32b59797,
+    0x50a78fde, 0x416a64f5, 0x7b2d7850, 0x4a47f05e, 0xd2b782e7, 0x6555c174, 0x4f4e6611, 0x2be2f685,
+    0x36248123, 0xdd89ebbd, 0x14b05bad, 0x320998ca, 0x742e24f2, 0x3171db9f, 0x8048a349, 0x9d618ebf,
+    0xafefc062, 0xc879aa74, 0x36d7ec85, 0x9b182672, 0x1660bbae, 0xfffd3df6, 0x3772c058, 0x322ee578,
+    0x14f9792d, 0x64a69709, 0x86330020, 0x7ef45e44, 0x1324b025, 0xff403c4e, 0x385472e1, 0x0cf78cb6,
+    0x378cca94, 0xf555d022, 0xbb253a0d, 0xa09b1d7f, 0xe7fa807e, 0xab616e03, 0x88576063, 0x0a2a0677,
+    0xdf87951a, 0xc348bc4a, 0x019f6cdf, 0x88427b82, 0xada9b052, 0x377c706c, 0x8280ded2, 0xff31e4c0,
+    0x758fa477, 0xce40e020, 0x9b501004, 0xba37b974, 0xc697d638, 0xdd0e8a77, 0xfe150ee7, 0x31da944c,
+    0xb02ca19d, 0x87aa6318, 0xdeefaef8, 0xbe18a6de, 0xb7417456, 0x13a82db7, 0xd2de5ffa, 0xcccbac39,
+    0xebac574a, 0xf3016c0b, 0x9dc65df4, 0x6b2adb27, 0x5d1c4e6e, 0x169936e6, 0x4e9f20a6, 0xad707eaf,
+    0x1a8f7cb2, 0xb674bd78, 0xda8719ce, 0x4aec2b4d, 0x7189dea1, 0x8b103f71, 0x9f80c210, 0x0582f4ad,
+    0xf1dd48de, 0x878a6f44, 0x39063298, 0x73cf3c20, 0xfcf288f4, 0xab7f64eb, 0x5f091810, 0x74536962,
+    0x1f2d7be3, 0x274655e0, 0x99e08ca5, 0xf3b11a1f, 0x4ec1163e, 0x45d972fb, 0xacb53fb5, 0xb7796d2a,
+    0xf55dea46, 0x5a2656af, 0x3168b757, 0x6007c4fa, 0xbf388522, 0x496ff8cb, 0x3d00d8c0, 0x8f6c1007,
+    0xa124a913, 0xdef1a50a, 0xff66b5f8, 0xd8c3138c, 0x8b2b32c8, 0x4137524f, 0xfa14349f, 0x8414caff,
+    0xdc620d26, 0x6d76c928, 0xdaf6067e, 0x24d97f3f, 0xc82e534f, 0x5c5a0ed7, 0x55462092, 0xeb221429,
+    0x0ab31982, 0x8447e0b9, 0x01db5bd8, 0x32b51304, 0x86e4aa8f, 0x8e176e96, 0x84540509, 0x4e4c30da,
+    0x1c7061d7, 0xeed16bf1, 0x2f849933, 0xe6e6fe68, 0xd0e433e3, 0xb60d1c03, 0x456b32f4, 0xedfe2846,
+    0x0d463b6a, 0x391ae5f1, 0x7d304c55, 0x37f837f4, 0x2c76f26a, 0xf1c3ed4f, 0x81e19f4a, 0x0cfd0f97,
+    0x00363773, 0x7ea0874a, 0xf03c2da8, 0x7a363f77, 0x12053f63, 0xf54a58c0, 0x28e68a91, 0x71086c6b,
+    0x9898c3ae, 0x0c8b9ae7, 0x07d3bee5, 0xb99bf52f, 0xc4aa5bbd, 0xe6c271bd, 0x6b23f7b9, 0xae1ab2c7,
+    0x7c17e3c8, 0x568d5b52, 0xec03155c, 0x68e4f820, 0x3c23a66c, 0x75b1db96, 0x44b917a7, 0x247d2c84,
+    0x15f13436, 0xb272fce8, 0x584212dd, 0x46880fab, 0xd8631998, 0xdff73c1e, 0x19b373e6, 0xaa6f40c3,
+    0x4653468b, 0x0530edac, 0x6d865b24, 0x03f1a7d2, 0x78a24041, 0x69f5db39, 0x078dc5a9, 0x5dd2b402,
+    0xf5bccb5a, 0x4f4b1c16, 0x5ea6fb1b, 0x3cca13ad, 0x0c04fd73, 0xf972c471, 0xb49ab2bf, 0x39b66d8d,
+    0x72987cd1, 0x71d1920c, 0x8a861eee, 0x18184168, 0x62169a5c, 0xf5acdae5, 0x4b1744aa, 0x5b555923,
+    0x36f7d7d8, 0x0b876788, 0x9ef19088, 0x1ca4bb2c, 0xe5ee9292, 0x60ed422c, 0xb8e3b2ec, 0x6b405d77,
+    0x4d0ba7c8, 0x34a76ea3, 0xd433c182, 0xac7f2d79, 0x054b50b5, 0xac9534e1, 0x08947d36, 0xad474105,
+    0xc3fd879b, 0x78ed0787, 0xd0e021a4, 0xe9def9f5, 0x7241bf36, 0xb928c7fc, 0x62d5c7d2, 0x587fa090,
+    0x78b07bb6, 0x2838cd34, 0xe91932fb, 0x234b3eda, 0x305a976e, 0x7c66bc20, 0x816168b6, 0x2fd55528,
+    0x6737baa7, 0x3c67470e, 0x91ccce9d, 0x0a14f9e8, 0xddc289e2, 0xab212b29, 0x4d7d3a64, 0x621a3c94,
+    0x2ca3ecc6, 0xcd191ceb, 0x527b50a3, 0x6ba5d468, 0xac9e7e66, 0xf141296b, 0x89e9dddd, 0x9a036f4e,
+    0x443341fd, 0xc66a5490, 0x6689f080, 0xcd7fcd4a, 0x6668be17, 0x9adf8fb8, 0xb2791f91, 0x18f9fb15,
+    0x1731739f, 0x65ec194b, 0x2316f082, 0x44637970, 0x0e0dfd3d, 0xd430c5b3, 0x20282a92, 0x5f55090d,
+    0xf4108019, 0xe0bdfc88, 0x9ff110db, 0x174db2b6, 0x43a4093f, 0x60bfc8d7, 0x6ffcc235, 0xe9db5e2f,
+    0xac5b037e, 0xbf862ea1, 0xdabdf2b8, 0xbb6dacf6, 0x53b49fc5, 0x53b24f0b, 0x40d31a49, 0x0e270e61,
+    0xf0fa3fbc, 0xd0efe19d, 0x00de6367, 0xe887f404, 0xa4c7ebf1, 0x7006056e, 0x01915203, 0xcd7ad686,
+    0x0bef9c1a, 0xee7691b3, 0x0ad5eb0a, 0x2c83c3f4, 0x59003c8d, 0xa84d26b8, 0xdc7bab82, 0x2d7618fa,
+    0x89b17fd7, 0xecb84f9e, 0xd74b5a3d, 0xf78f15c9, 0x5e1778d6, 0x574847c1, 0xb6d4d74b, 0xeb4805ca,
+    0x95f673b5, 0x45be8999, 0x7b2c2470, 0x372c48ea, 0x7dca11ae, 0xfa3df43f, 0x9725e50b, 0xd0f67a26,
+    0x0275e636, 0x49e30ce1, 0xce12102c, 0xcc6c85c4, 0x946e2f0b, 0x95dbb72c, 0x9279570e, 0x64394013,
+    0x58f2649c, 0x1fcd363f, 0x19d920b2, 0x2221872f, 0x275c43a9, 0x18614336, 0xf28f8786, 0xf890456b,
+    0x96d92885, 0x6734af01, 0x7fbf339c, 0xe5481eb0, 0x325f98d1, 0xea9a3fa4, 0x4b185cea, 0x1ee6f8e8,
+    0x5d153982, 0x697a3f7c, 0x9f2dea13, 0x009c1bb3, 0x4553c56b, 0xccd37790, 0x28bda793, 0xbfa9989f,
+    0xb08643e9, 0x15920496, 0x42588354, 0x1762f403, 0x24067386, 0x2d3bf71d, 0xa85ccdc2, 0xdbde2d56,
+    0x6ebd286c, 0x45030a0f, 0x4240b73e, 0x5aa862fc, 0xb6089480, 0xb816e5d0, 0x5bc804e0, 0xcfbffbda,
+    0x6d44192a, 0x9ec3220f, 0xcece6b36, 0x73b5d0b0, 0x575c70ec, 0x4fca2377, 0x815d1532, 0x154630a0,
+    0xe7a63146, 0x2837a465, 0xa076edf7, 0x131f0e52, 0x293266c8, 0x2745b20f, 0xdfacfe52, 0xd8212fc8,
+    0x2bb55501, 0x2ec53b48, 0xf5053490, 0x7faf97f3, 0x22dc352c, 0x579df69c, 0x5f546117, 0xb566134a,
+    0x3c1934dd, 0x8814b3a2, 0x8fcf2a66, 0x08d4815e, 0xa41652b7, 0x92265e13, 0x147e6db7, 0xd81847b1,
+    0xa3aa1fbe, 0x16913aea, 0x8382599c, 0x74cb39ab, 0xcd95b374, 0xe533ed50, 0x2ad4946b, 0x5b347e2a,
+    0x08cda0e7, 0x182d962d, 0xc6204edb, 0xa89b6efc, 0x34998a61, 0x24360a22, 0x14b45eb2, 0xf0dd4f3e,
+    0xe21b3ad2, 0x4369a18f, 0x213bd4cb, 0x4cb454d3, 0x5326d8bc, 0x986681f2, 0x0658c8f1, 0xb1173fec,
+    0x0db2871e, 0x343cda85, 0x11a97f41, 0x1238d1ca, 0xc23d5fd1, 0xd9795aed, 0xe06ff636, 0x5b292c3d,
+    0x8ac91dd8, 0x9fffd833, 0x7954706a, 0x0a2ad2ee, 0xb48c62f3, 0x7ef81a34, 0x4a1f096d, 0xd531a816,
+    0x2d2acbb3, 0xf4acd60f, 0x62772a10, 0x6690fcb1, 0x8ae49d0b, 0x8250240d, 0x740d742c, 0xa1cc6410,
+    0x8a4d5ba8, 0x8a4fbbe9, 0xa63e07f0, 0xc5c67c68, 0xca26a6ce, 0x3dff751d, 0xef9f4596, 0x6157ed7c,
+    0x9c73ea08, 0xa966501a, 0xa4056acf, 0xef987fcd, 0x0d7f51e5, 0x5d154e74, 0x565df5bd, 0xd652562c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000011692013098647223345629478661730264157247460343808 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cd, 0x96c55fe2,
+    0x00000000,
+    0xb2b244c1, 0x5f1dcd6b, 0xa64e38b1, 0xd27a50c8, 0x5bdde365, 0xe233f52e, 0x8af1c09d, 0xfcf5f89b,
+    0xb42a59bf, 0xa6c2f29b, 0x9a547520, 0x53502403, 0x5c38759b, 0x84a580ed, 0x40a00a6e, 0xb5b15f5a,
+    0x5c2a642a, 0xccf31e98, 0x8542fc8f, 0x450cc22d, 0xcebf2a18, 0x9b34ceed, 0x25e6bf6b, 0x8721e339,
+    0xf20f131f, 0xe536358f, 0x9d390c5c, 0xa89c7ba0, 0x1139638f, 0x35443635, 0x9d6dc386, 0x849f16b4,
+    0x7aac3dec, 0x3031d4f2, 0x6510d315, 0x367291b7, 0x6a1f30cb, 0x33213c78, 0xef46bcba, 0xeabef3b3,
+    0xda8f9b0a, 0x8196bf87, 0xbd0116c9, 0xe393fb98, 0xc31aab7d, 0x96fd0f62, 0x11c6e2c1, 0xc544c486,
+    0xc4a47715, 0x19a149ec, 0x861ec97d, 0x5b0c5274, 0xd4f34fce, 0x1b83e19a, 0xbc7360bc, 0xae244b33,
+    0x75e41b45, 0x52c33d9c, 0x990dcf70, 0xcd5464d2, 0x87f2f1e9, 0xc19ce4b7, 0x25207007, 0xc5639d5d,
+    0xbf074e66, 0xab746b12, 0x73ad0fb2, 0xb45f6438, 0xc5443d5a, 0x6aa92c31, 0xfff66672, 0xee801412,
+    0x1ba6886b, 0xd36f19b5, 0xca1939db, 0xd152946f, 0x4a52cdc8, 0x3bc207b5, 0x9c19d660, 0xbfb4fcb1,
+    0x1091747e, 0x47372307, 0xd89acefe, 0x56a6a926, 0x8dc6a811, 0x04a6b5ce, 0xa0a62624, 0xd08bf073,
+    0xe749f297, 0xcc68eff8, 0x10d7c5f4, 0x1607387a, 0xadf50ec8, 0x92d6614f, 0xd5298cff, 0xb382dc6c,
+    0xdd5be724, 0x51c13a80, 0x0843d575, 0xc0f27e3d, 0x82976723, 0x42068f1e, 0x560b14cd, 0x443901f5,
+    0xdef36f7c, 0x717fb834, 0x590cdf01, 0x30156b7b, 0x84f10011, 0x2b9e2b6f, 0xbd8e2737, 0x588dcc66,
+    0x368a1ded, 0xd30baf11, 0xfe0b7ba1, 0x536adf17, 0x241f02dc, 0xc7f0727a, 0x379e1442, 0x5044a9f2,
+    0x32523efd, 0x1f897ced, 0x5117072e, 0x1675b36f, 0x024547d5, 0x7b2c07f0, 0x5931cd99, 0x25fbf99d,
+    0xe1a637f5, 0xe62e29ef, 0x3d6e5c69, 0x54403f7e, 0x2a6c8b97, 0xfab04d11, 0xba57336d, 0x8d75e02e,
+    0x858cc40a, 0xba57ca9d, 0x862afdef, 0xa6450d38, 0xce4e009b, 0xf8dafd7b, 0x386803c5, 0x586d6c55,
+    0xa10b5100, 0x884b282d, 0xeb8da482, 0x548a3380, 0xe752b502, 0x655802db, 0x88546dfc, 0x4833e5cc,
+    0x4a55d78d, 0xb3b8caa5, 0x585857ff, 0xfab4961b, 0x61802911, 0xf12c9412, 0xb116ce90, 0x8867f559,
+    0xaf2afdfc, 0x515cb10a, 0x34483d36, 0x7358748a, 0xdc212e84, 0xf35d545c, 0x743d00b9, 0x83ef16e8,
+    0x4e23aba6, 0x48f97cf2, 0x5c403f1b, 0x73ddfbd7, 0xcbf09888, 0x5fbea3bb, 0x7b4eb741, 0xfd51cb3f,
+    0x985302a3, 0x81b398db, 0x68a21e00, 0x1d5a5cbd, 0x64fe30fb, 0x8f7b2fe5, 0xae0fa4b7, 0x98195b5c,
+    0xa3389dae, 0x274199cf, 0x34ecc826, 0x9bb3650a, 0xa200f5b7, 0xd3ef4c45, 0xc3f5b247, 0x139a8cbe,
+    0xda97cda1, 0xb1b3fd70, 0x8f3f7792, 0x09707835, 0x96a4435f, 0xbb352c8a, 0x9e025eea, 0x736e08d3,
+    0xd74dcf54, 0x9f8bfa88, 0x9491a9b3, 0x7759b1ea, 0xc7f6796d, 0x5120d423, 0xda718c04, 0x5e1e9cfe,
+    0x03e9f29f, 0x55a5868c, 0xc3c11001, 0x6cd53063, 0x4d957e6d, 0x96de51c6, 0x797d16a6, 0xbd83b82b,
+    0xe954cab0, 0x66dc0ef5, 0x4c4b9c9a, 0xc6791f97, 0xcba57e35, 0x5911e2c2, 0xf9db43ae, 0xf86e4060,
+    0x10ee35f1, 0x538edede, 0xa0e8dbdd, 0x17f2a7a9, 0x89477ab5, 0x58ee98cd, 0x795293f3, 0xabd3f759,
+    0xeb7bb852, 0xe0cb8795, 0x612f2117, 0x43b4b482, 0xf1f8a4ac, 0x963c30cf, 0x2f2cd9c4, 0xc15c7a62,
+    0x8ea09583, 0xe1a6c976, 0xdd8e2bd6, 0x46bc775f, 0x363def65, 0xb3ec2a4e, 0xc0790c16, 0xbdf2f2ff,
+    0x64113a60, 0x81369900, 0x7b1e661b, 0x8499473d, 0xbb62be9e, 0xdec87539, 0x1f5e345d, 0xf70678cf,
+    0xd1f0b7c6, 0xe3e3efad, 0xebbd8ed3, 0x88eb4989, 0xeff384e8, 0x42ab29a8, 0x52fe3cfb, 0x7bd0a26d,
+    0x2a2d793e, 0xcf698339, 0x73a35fc2, 0xd1b0ea32, 0x1753a03f, 0x3b7c1a63, 0xa97be326, 0xaeb41874,
+    0xefa2d858, 0x992f4c36, 0x97a3bb23, 0x3e8cbeba, 0xb92c888d, 0xc099bbfd, 0xb7ec1d31, 0xda845e7f,
+    0x36ecb6e5, 0x2d9c080a, 0xd3a54181, 0xe2bd7c23, 0xcff1e358, 0xe7f5f2dc, 0x4628ac5c, 0xe0657ff8,
+    0xc5925358, 0x4296c559, 0x115f4fbd, 0x6c088f0f, 0xe28fe7e7, 0xe037aaca, 0x9b42f17a, 0x1871180f,
+    0xb208f8b1, 0x3831479d, 0xacba00e1, 0x13e80ab9, 0x2911721d, 0x70ff79e8, 0xceead955, 0xcdac6a59,
+    0xbc3c1878, 0xc59d0d70, 0xf8c6e4bf, 0x97ee5942, 0xa9065f4e, 0x8ab48dd6, 0x703d5781, 0xfc8fc9ef,
+    0xa40da93d, 0xe05d5a00, 0x18a4288d, 0xa8d1a85e, 0xbd119958, 0xc1c59baa, 0xf74e951f, 0xd4a98d94,
+    0x5bfe136f, 0x4905d2bf, 0xc166690a, 0x2bcfd489, 0x0f0cc4bf, 0x75b011c0, 0x28728a14, 0xaeba7e13,
+    0x5af8673c, 0x2d676d78, 0x235ffb4f, 0x211873e5, 0x1e406e36, 0xb1a29078, 0xa334eae4, 0xdb489d7f,
+    0x4c1a0d2b, 0x09f947b5, 0x76a0569d, 0xac7f4f30, 0xa9e34a90, 0xa53ac29a, 0x9bc3519a, 0xe8305b87,
+    0x44a71581, 0x141ca168, 0x2835887c, 0x8e6680ca, 0x9bca07f8, 0x6524edfc, 0xe6c73537, 0xb5d3a46f,
+    0xe499464c, 0xd4e325f8, 0x2d558e65, 0x28af9fcf, 0xe1f002d0, 0xc59919fd, 0x8f6479df, 0x3c5a3ed5,
+    0xb65a8144, 0x5b563254, 0x9268c569, 0x224f4dec, 0xdb8bac71, 0x631d1a29, 0xacc1af0b, 0xed916aa4,
+    0xf2b8f36c, 0x6e49eae8, 0xa50a1045, 0x3523a5b4, 0xff0a295b, 0x8fe8b3ed, 0xdde6f890, 0x2b6e7e0d,
+    0xc613c363, 0xeb4e4495, 0x1be06db2, 0x246e19e7, 0xb3381a1e, 0x063d7c65, 0x8a2ec291, 0x4ca2351a,
+    0xed6b83d6, 0xc0c3f3f6, 0x15c0fcf7, 0x864f78a6, 0x364a7941, 0xf853de4d, 0x4d2ae2b8, 0xe22ad08b,
+    0x5456a34b, 0x724cb70b, 0x281be590, 0x9f821f45, 0x65abea5d, 0xcd7a144c, 0x6cc663df, 0xaa79f7c4,
+    0xeb4ac0a8, 0x2cfa4916, 0x28b26de1, 0xca83de9d, 0xf1c6dc7b, 0xf9d182aa, 0x09a9eb77, 0xc2e9dbd3,
+    0x30883154, 0xa8c0af26, 0xebe98853, 0x2670a71d, 0x2efb408c, 0xbaa82428, 0xb1bd9821, 0xaf100a8c,
+    0xc8393509, 0x110493e2, 0x72fafa53, 0xfce5f3b2, 0x270598b5, 0xd8aa3cba, 0x375179ef, 0x36ada887,
+    0xce8b8b77, 0xff58a31a, 0xbdff3072, 0x95fa87cd, 0xadee2ef2, 0x2ff20256, 0xcf0f7076, 0x116b348d,
+    0xbe1b6218, 0x0889c181, 0x6a477b03, 0x9616418f, 0xf719447c, 0xee40ea1e, 0xf1e86132, 0xb9f1a25a,
+    0x34068433, 0xbc5bf84d, 0x72b211d2, 0x50948cca, 0x56217499, 0x23d69a4a, 0x27ad65aa, 0xb5e68b63,
+    0xcf45b30e, 0xddff6e8d, 0x7af910b4, 0x36a038e0, 0x52f828b4, 0xeba8f513, 0x321c9ea8, 0xf97a07d1,
+    0x91bb2520, 0x8ada7e13, 0xc63f22cb, 0xa7f90250, 0x9e5620cf, 0x750f326c, 0xc3adb152, 0x834bcc03,
+    0x1c65845d, 0x4b2493ac, 0x5b82357c, 0xc4ae7bc2, 0x82c036ef, 0x62f27d84, 0x31b122dc, 0x6abf6211,
+    0xdadd4e4b, 0x14da74ce, 0x29f19d77, 0x4ae9a1b9, 0x1902517a, 0x09ba6dbd, 0xb6846a33, 0x9c9f17da,
+    0x3c241207, 0xfed564ef, 0x84ebdf23, 0x5ecdcaf6, 0xb26fd446, 0x7546d211, 0x7eab5bbe, 0xacc327e3,
+    0x13b87392, 0x508ebbad, 0xba09ef28, 0x9ee3d289, 0xd60124d4, 0x4a72d652, 0x19092ea0, 0x08264049,
+    0xe049dc5e, 0x6d6bccd7, 0x761434c4, 0xb2fd09c2, 0x92281f04, 0x8e2cc968, 0xeb50a317, 0xa7237e16,
+    0x7ab6aee9, 0xaba4a0d9, 0x1f8d71b0, 0x1cda2d56, 0x15bac973, 0x6632b483, 0x72f7848a, 0x508af1ae,
+    0xef6414bb, 0x25ef102a, 0x19ec6445, 0xe7de4fac, 0x4ff804b9, 0x65028669, 0xc688a8f3, 0x5b2486c4,
+    0x4aae55bb, 0x45ee3391, 0x47b56787, 0xf780d8c0, 0xf1d0bf0d, 0xa0fb2857, 0xda54bc4a, 0xfa9bd744,
+    0x9acde192, 0x28171292, 0xb976238c, 0xd4819aee, 0xcab9c0f8, 0xb7795f01, 0x5d3e518d, 0x14a4f4b2,
+    0x2113d754, 0xe90a335b, 0x4565a6fc, 0xf6c990f9, 0x5bbba814, 0x601f403a, 0x0206f541, 0xab6ad661,
+    0x80e88eaf, 0x6923e3eb, 0x0b62e278, 0xaed3ec9c, 0xc93409f4, 0xd705f7a5, 0x8349d775, 0xc78c6d1a,
+    0x4a79dc42, 0xf1c629ca, 0x4bbc2032, 0x945f6875, 0x09c956f9, 0x16fc2603, 0xf9131e20, 0xd0a7cdd2,
+    0x4954c2b7, 0x789deb80, 0x113e5791, 0xfa3e23ff, 0x8822662d, 0x149630f3, 0xf09a3846, 0x16f669ba,
+    0xad665f48, 0x999291e2, 0xef3ce6d6, 0xb7633365, 0xc1218c11, 0x752103f9, 0x1b3c4c0e, 0x84fdc2d5,
+    0x4f68cd03, 0x6e948477, 0x6dffda6f, 0x561c3b43, 0x892e3767, 0x31adeb58, 0x609a9ea3, 0x33bdf6b3,
+    0xf7548a73, 0x68967b80, 0x879848f5, 0xe40f0156, 0xb3c942bf, 0xd8819571, 0xdcd665ee, 0xfd69c37d,
+    0xf1a95b16, 0x0ed61db2, 0x0f6b686c, 0x0af6bb98, 0xaecb4b3a, 0x5c7b1dbf, 0xa081f159, 0x1ee4a88d,
+    0xb8d7ddcd, 0xf3ca059a, 0x5fec4c4a, 0xc98d860f, 0x30dc59a6, 0xb4ac70e8, 0xd9790fbf, 0x3f1e33ac,
+    0x722d6892, 0xf669ebd3, 0x32caf37e, 0xb5cabaac, 0x52d05aa2, 0xee4f142d, 0x3bcdbfbf, 0xc0adfe9d,
+    0x05f11778, 0x59a00a1e, 0x3ca01c97, 0xb81c6d3f, 0x5b127d29, 0x0dbde7cc, 0x092275e0, 0xab8bdb23,
+    0x83372760, 0x6e578021, 0x49424587, 0x3929f062, 0x0efd23c4, 0x42fbf298, 0xf7c694cd, 0x481f12c8,
+    0xa7336381, 0x5f171d49, 0xb28be2b5, 0x2fa4c964, 0xc73ad2cf, 0x4cb6c8ba, 0x3704e49f, 0x0e867d35,
+    0x292e58a1, 0x546d51c9, 0x19c87bba, 0x87be6272, 0x51a7d673, 0x561f2b6e, 0x19bfa996, 0xba300fa8,
+    0x71f8aa8b, 0x18fc1d0d, 0x9564d7bc, 0x2477ba78, 0xb07f17e8, 0x7a7a31e8, 0x496777b9, 0x83bf2893,
+    0xc726236c, 0x86f9d6d5, 0x89e677f4, 0xd12354d1, 0xec7700bd, 0x1e6cb68d, 0x3355c918, 0x7c2871bf,
+    0x641abc32, 0x4c9f6ede, 0xd6c80d7a, 0xf6b578ec, 0x7d8421bc, 0xae4a2260, 0x1a932ef0, 0xf0c1a0be,
+    0x1bfee9c6, 0x8e3b542b, 0x1328086b, 0x730d57c0, 0xe335e176, 0x75785455, 0x524298be, 0x46393a5b,
+    0xb5272024, 0xfb1a2c95, 0x2372c895, 0xd029de00, 0xd04ed0e3, 0x01642c5a, 0x068dff83, 0x7b419784,
+    0x75bc8f6c, 0x08bcf3d7, 0xaaafa736, 0x92287ee0, 0x4f37c496, 0xee218a38, 0xae15447d, 0x1a0025bf,
+    0x315cd725, 0xae2fd0aa, 0x87e699dd, 0x8f50adc0, 0xdd796a76, 0x9c3be1f5, 0x5c5776e5, 0x757d19fb,
+    0xce947d3c, 0x5d91c5d1, 0x30165585, 0x5a87c398, 0xb29e8b58, 0x50f94b52, 0xc7344b13, 0x7027cc75,
+    0xa12ca91c, 0x80a4a74e, 0x5d4d16c8, 0x0df12e52, 0x5977b1b6, 0x183fba1a, 0xaed54934, 0xdfe7cfb4,
+    0xa420b661, 0xf870f243, 0x397eb5f2, 0xa6ba2463, 0x6327be07, 0x6b2dc8d2, 0x4e4a89dd, 0x8058c234,
+    0x67e5f1f5, 0xfbc8e6cd, 0xf7a2283d, 0x79986784, 0x1265731c, 0x1dbecdf4, 0x12b9ed11, 0x22d20efd,
+    0x72aa18ea, 0x836b1dfe, 0x31821bc9, 0x6601a8dc, 0x4e54e5aa, 0x17a19b86, 0xc88b7c90, 0x63e2e6df,
+    0xc2a3ce0d, 0x020cb05c, 0xda1989dc, 0x82dccb16, 0xb0da7a72, 0x8574aad8, 0x5773aadb, 0x7851323d,
+    0xad219f67, 0xb327e02c, 0xe87fd0dd, 0x2db4a86d, 0x36f47a86, 0x4716b1cb, 0x51acd3d0, 0x2ef79ae7,
+    0xecd46401, 0xb77b1cbe, 0x364a4a2c, 0xaa8e5d82, 0xd759f887, 0xd95ee79c, 0xb8d25580, 0xc2ce0afe,
+    0x07a9a78b, 0x5be3747c, 0xb55d1015, 0xad906d93, 0x94a99b62, 0x775c5ef9, 0x2dff181f, 0x6b765683,
+    0x2cc91601, 0x79bb1492, 0x0a50704c, 0x5a0d0a07, 0x4ea6237e, 0x98aee4f6, 0x6d9a3856, 0x63d411bc,
+    0x3d558302, 0x46616fe0, 0x52c69ec5, 0xc9b8550a, 0xae0f0f3e, 0xf7329d63, 0x9e27686a, 0xe30ece7a,
+    0xd71aa6fa, 0xd6811624, 0x79461ef4, 0x6cb59242, 0xe25210ed, 0x6945d86c, 0x823b58e8, 0xa4a1a94d,
+    0xeeb2ddf5, 0x3582e423, 0xe626c27c, 0xd4c0a8dc, 0xb3c0cd00, 0xc3563629, 0x7068baa4, 0xad290986,
+    0x64ee0856, 0x8c89f3a9, 0x49d93fed, 0xcf5d309a, 0x94eb5b65, 0xe6c5c5cb, 0x5a96ef98, 0xac73cb59,
+    0xe47bb9ec, 0x28e42aec, 0xd76924ba, 0x198699e4, 0x0ad66888, 0xc07fc063, 0xfe7b78a9, 0x2137c5d9,
+    0x7cc6b32b, 0x3716adcd, 0xa893a508, 0xb3a2ad52, 0x29ae91a5, 0xc64ea247, 0x41e99c8f, 0x81370dcd,
+    0x5edfc08e, 0x84e8d283, 0xb01817f7, 0x8c8a4c79, 0x0001a8bd, 0xc34452bd, 0x45bdf0b7, 0xfef794c3,
+    0xb0e5b83a, 0xa50cc9ce, 0x80170414, 0x08eebf91, 0x0b79397c, 0x6a940fc2, 0xb6bd5bfb, 0x262cb5db,
+    0x99bf9db5, 0xfc12b463, 0x99dcd499, 0x80705eda, 0x364b5229, 0x73d7f936, 0xfb9af72a, 0x21bf8916,
+    0x9283a0b9, 0x28b79c62, 0x719f497f, 0x02ef77b0, 0x278c8f35, 0x582228b6, 0x153661ab, 0x8c67eddf,
+    0x62c1b011, 0x70ae63a4, 0x9f6ff1e8, 0xc5935eaa, 0x20b25ac1, 0x05bb55e0, 0x657bc857, 0xb94c7117,
+    0x1ab2e560, 0x8392b55d, 0xdfeb46f7, 0xbbb7717e, 0xf43f2748, 0x0018e3f9, 0x854c8e90, 0xaa831adf,
+    0x90331946, 0x12b594b7, 0xcbd93031, 0x9fb0d138, 0x6d21369d, 0x61013598, 0x97a4ea72, 0x5ff23a7f,
+    0x5e49847a, 0xa1efcc95, 0xb12aff7a, 0x63bfd3de, 0x314daeed, 0xcb1b986f, 0xbbbe91d6, 0xb4e862ee,
+    0xceb49219, 0xea2adc37, 0x214143e0, 0xf93414d5, 0x6131d67d, 0x02a4e69b, 0x2b3147b4, 0x3f4bc641,
+    0x41fc2cf3, 0xbb1080ed, 0x561cbdfd, 0x36a66105, 0x98b29e92, 0xf73ca341, 0x43270879, 0x34516ac0,
+    0x70684ceb, 0xdf6dca99, 0xbf0cce09, 0xf3189cce, 0x9f1f4023, 0x92b4579c, 0x7640ed45, 0xba196915,
+    0xa9186cb9, 0xcb5ac41a, 0x31c58757, 0x73ac5c76, 0x3017bbfb, 0x987f8c18, 0x88a533ea, 0x107193f7,
+    0x94f7e8de, 0x1bba6644, 0xb0522bdb, 0xe6e41e7a, 0x67dc0346, 0x83ca94aa, 0x9f97293b, 0xfc13fe47,
+    0xb020aed5, 0xf3f96049, 0x8684ea24, 0x6981a7f6, 0xe55e455f, 0xe03ea762, 0xbd85eb84, 0xddd57933,
+    0xb4a818b9, 0x459d43ef, 0x79277d16, 0xd39ca68b, 0x79847bca, 0x0e1ec8f6, 0xc3de6464, 0x32f5a238,
+    0x9758a695, 0xd089b597, 0x9867225a, 0xe3da6bcf, 0xf1884cc1, 0xc2afb7ee, 0xff5cf160, 0x195c524e,
+    0x5eed8eb1, 0x624ee874, 0xbe0e0b32, 0x1b5ae119, 0x3a75d1ff, 0xb17a9efe, 0x5508a977, 0xc7b7cfde,
+    0x6f634f2e, 0x01e17d86, 0xf9090400, 0x542c483b, 0x24d54e43, 0xaccc5bd8, 0xebfc9757, 0x5123cda3,
+    0x29555d42, 0xd372f561, 0xb487d067, 0x81b12e29, 0x5dd18761, 0xc931a9f2, 0xf39fbcce, 0x4db35bbb,
+    0xadf6f2c9, 0x2cdc93d5, 0x262e3a5f, 0xf038ef6f, 0xcfbd26b0, 0xe4e89c62, 0xbb86bdc7, 0x941294b1,
+    0xab415b2d, 0x5659bdb3, 0x416441e5, 0x21c5bbce, 0xf1bc7b14, 0x854c6b9a, 0xc158bb44, 0x1d4409ff,
+    0xd16a6594, 0xb8322dc7, 0x6194d3da, 0x9c23db7d, 0x8bb1b631, 0xe77ed4f5, 0x7b23025b, 0xd0fe4849,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000005846006549323611672814739330865132078623730171904 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda66, 0xcb62aff0,
+    0x00000000,
+    0xd5e23efb, 0x42197f44, 0x73d23cb2, 0x0faa4a62, 0x72bb2619, 0xb7f2555b, 0x86e447ad, 0xae17e6c7,
+    0x89350237, 0x49ea63f4, 0x59def484, 0xeee24f8c, 0x75e775db, 0x86a42ad4, 0x174062cd, 0x24732914,
+    0x02a8fd5c, 0x74700b11, 0xc33e1837, 0x3e0a3915, 0x460dc88e, 0x7a815e07, 0x362c064d, 0x381055e5,
+    0x83d78ab6, 0x82ad69c4, 0xa03da8b3, 0x92023a3e, 0x9c27a618, 0xd2eb3074, 0xf3067014, 0x57876e11,
+    0x34ea25b3, 0x12be1227, 0xeb9e7f12, 0x81098b34, 0x62008009, 0x98174e88, 0xb098a5a2, 0x213e04a0,
+    0x42663b7c, 0x29fab395, 0x3ce44ecf, 0xcc521ea0, 0x639fcdc8, 0x27ef1b8b, 0x899a661a, 0xefc788c5,
+    0xb29113d8, 0xadfde10f, 0x37fe4a29, 0x49a6e29b, 0xbc756884, 0xf49a68ef, 0xe302620b, 0xd393dc8e,
+    0xc6d6fe9e, 0x1011c764, 0x5fda02f2, 0xa75f94eb, 0x0875e44a, 0x5c43f2d1, 0x8bbf7d02, 0x20e356e6,
+    0xd10a8305, 0xa74eacf7, 0x66d9cb56, 0x9aa96504, 0x7eaeca8f, 0x7c26120d, 0x2413c989, 0xf3cec968,
+    0x3518e1b2, 0xbbfc6d01, 0xa076cc63, 0xf1dc6d46, 0x1b399328, 0x289b672c, 0x19de58c4, 0xb725bc23,
+    0x1b1e5763, 0x840ae005, 0x2672c971, 0x8db0c397, 0x20af7cfc, 0xbd230786, 0xe29c4410, 0xbc45b5f8,
+    0xe17641e2, 0x19308570, 0xe5699e7d, 0x03faafa9, 0x2a3967be, 0xbadc09b4, 0x7846c527, 0x07600815,
+    0x95747f13, 0x19d03640, 0x63356fa7, 0x3d1f0429, 0xa51f7cc2, 0x5c485401, 0xefda7bf0, 0x1daacd5d,
+    0x809ed3f4, 0x65ff4124, 0x113cc184, 0xbe96612c, 0x602489c6, 0x0dbaf741, 0x47dcca6d, 0x625f67ef,
+    0xe62ceea7, 0x5bc4de52, 0x37a34824, 0x170777fe, 0x60ff8cd4, 0x88a61cde, 0xfc508446, 0x96ef5e66,
+    0xd3642a62, 0xaa6e8672, 0x2765c610, 0xd35b7dfe, 0xf764b21e, 0x030533fd, 0xfe0ea5a7, 0x08ecbc77,
+    0x4cb0495e, 0xe40500aa, 0xa438b343, 0x5f3c62ae, 0xe607155d, 0xcf1ebf14, 0x6d9a5702, 0x44307ac0,
+    0x74ad8964, 0x89696c47, 0x2262024a, 0x43dc1e23, 0xb28cdb4d, 0x1f269bdb, 0x2604c2ac, 0x18ab96c7,
+    0x4ba70487, 0xb333da39, 0x4c8ed917, 0xdeb5d9ff, 0x66164361, 0xe820986a, 0x876bd213, 0x51383c5a,
+    0x8caedc63, 0x818a3ee8, 0xdd3b9d41, 0xd4970eb5, 0x060cd806, 0xfa2b3c92, 0x7909b2be, 0x95f06e57,
+    0x2a190880, 0x3cf36cb5, 0x4736a630, 0x47738eb3, 0x8e2dd5f4, 0x97b66310, 0x7172b5e8, 0x37d5dc0c,
+    0xda743ca4, 0x979737c5, 0xf5c76bdb, 0x6b985635, 0x9dd01601, 0x2dd6b849, 0xd2eda0fa, 0xac76be7f,
+    0x4e3aba54, 0xe4b736c7, 0xd2b1afca, 0x1b4e5756, 0x93829a47, 0x74da99cd, 0x4b0a3968, 0x28bc9707,
+    0x054d0f4b, 0x4771539a, 0xf7a4e710, 0x090dff7f, 0x1661b37b, 0x4ece4558, 0xba6f5efe, 0x088f7c08,
+    0xa2721a34, 0xfa54018f, 0x0b92674b, 0x023d7846, 0x7d1bfcda, 0xb1a5fe6f, 0x7d476d7f, 0x13693543,
+    0x7594cca0, 0x9c164b2a, 0x015f0c0c, 0x2d0ec706, 0x1fd728ab, 0x42169e1e, 0xddef74d2, 0x4d8bb6c3,
+    0xcabd0b78, 0x660a414d, 0x05c06f0f, 0x6abb91e9, 0x5b215e5d, 0xc2930938, 0xffd54d8e, 0x0c581f5c,
+    0x9e3071b4, 0xe8eeda5a, 0x67ae3b5c, 0x501fb1c1, 0x9b08cc3c, 0x8c6656e3, 0x2956e579, 0x82ab773f,
+    0xe3f5716a, 0x52174807, 0x25caf912, 0x62dcaa98, 0xab96b9fb, 0x4cecd07e, 0x604ab3b2, 0x274f5be1,
+    0x2a70556b, 0xec053e8b, 0x340f744c, 0x6e5df8c9, 0x83aed63c, 0xdea1f070, 0x88d5356a, 0x586bf497,
+    0x0b5d0d77, 0x09cdeedd, 0x8500dbf9, 0xdc523cd6, 0xafe61500, 0x1878e64b, 0xb65f9ae2, 0x9fb7ede2,
+    0xa66cbe58, 0x22f2d836, 0x4a698ed7, 0xf5cb3229, 0x1f5abea1, 0x45f40467, 0xee88934e, 0x8e42be7e,
+    0x472421ef, 0x8255e94b, 0xcf8b932f, 0xa5f17984, 0xa25aa5f5, 0x685d7172, 0x00dce3ca, 0x605f60fb,
+    0x55138c1a, 0x1629504c, 0x83927c67, 0x9914fb76, 0x55517dad, 0x9266f617, 0x20d8e046, 0x5fd775a4,
+    0xaf9f99ec, 0xa6561a27, 0x319475c9, 0xf7d0947f, 0xd1342404, 0xff465cbf, 0x873f73f7, 0xd26bc21d,
+    0x898bde5e, 0x0275067d, 0x9c604fdb, 0xe2a4fd50, 0x63f334d6, 0x9a69244f, 0x7f2a85c4, 0xaade6900,
+    0x42ac68a8, 0x92be1c00, 0x6f1b2d9f, 0xa4320914, 0xc8f349ad, 0x0586eb7e, 0xe50e0625, 0x6f54ef3f,
+    0xbef40536, 0xe778171d, 0xeabfb636, 0xba22bb8a, 0x70d974b3, 0xe574b99e, 0xd14743ea, 0xc068ae86,
+    0xc6a38a3a, 0x87cc38e1, 0x348253e9, 0xe9614ce9, 0xfb4babf9, 0x2dd219e7, 0x57c7605d, 0x3072087b,
+    0xdf6c80a2, 0xe1a2f079, 0xe4422925, 0x1776c55e, 0xd8139359, 0x326ead3b, 0x1a9099ba, 0xcd6949cd,
+    0x7f7e7de7, 0xf9a8226a, 0xe414c771, 0x9ea3b44f, 0x03f17219, 0x5a523f54, 0x12f82863, 0x3a2e0a9d,
+    0x0814fdee, 0x6eb43675, 0x17137fa5, 0xd9fc713c, 0xc1bf6855, 0x03c9dac5, 0x222768c5, 0xdff0c5a9,
+    0x56681e8a, 0xbe326d63, 0x8ca1958a, 0xfc142464, 0xf8895e5d, 0x7582398f, 0x37237591, 0x6012a5be,
+    0x593bc2b4, 0x0541256b, 0xcb9c3ba9, 0x5fc59ea9, 0xc6f40fc7, 0x237d1f15, 0x6d7836bc, 0x70babcf8,
+    0x4f71e923, 0x852e5ad7, 0x9185a7fb, 0x412be24a, 0xced77d80, 0x2878bc24, 0xb3350f6b, 0x7d8e5893,
+    0x0a1a7a2f, 0xac6cd382, 0xc96fedab, 0x554ce8ef, 0x570990ff, 0x7e716086, 0x11a53ca8, 0x91888c8c,
+    0xe716ea4f, 0xc0fe6ddd, 0x0e0be406, 0x00a70edc, 0xd37cdff7, 0x760d6da1, 0x54a80643, 0x4fa7c14c,
+    0xfccc1245, 0x610d0292, 0x79beab56, 0x0343d6eb, 0x6309ee09, 0x358aa2ac, 0x600941ff, 0x12b06d06,
+    0x7357dd8e, 0x6974083b, 0x8289b95f, 0xe5b06eec, 0x6d900164, 0x05642493, 0x48750d10, 0xd9dd811c,
+    0xcf6d7b7f, 0x4dca66be, 0x72c71270, 0x2fc9484b, 0xcc82cb83, 0xd851d301, 0x6c39b639, 0x8d72a0d9,
+    0x391b296a, 0x881b4696, 0xffadc278, 0x71b99e0b, 0x860e1f16, 0x73ccee81, 0x5c0ac7d6, 0x03323e14,
+    0x6902b1da, 0xb06da0b9, 0xd531bfc0, 0x7b0463ef, 0x053a4f52, 0x1d960f57, 0xffbe3a49, 0x705fa20a,
+    0x05a58007, 0x8a522ec5, 0xaf43aa10, 0x7dea7882, 0xab2653e5, 0x801f3a14, 0xb4d39588, 0xa5b2fd2e,
+    0xe260926a, 0xcf33c8bc, 0x99b7503e, 0xb2d0736e, 0xc136d5e3, 0x2137711d, 0x244d1667, 0x053121c1,
+    0x45d357b5, 0xfec16d74, 0x341d0bb9, 0xff1362ac, 0x9a52b620, 0xb6be0ef4, 0xc918a95d, 0xbc8dd586,
+    0x277aa37e, 0xd5a5273a, 0xf679c8cd, 0x77735179, 0x2cb2e658, 0xe14aa9a3, 0x5119257c, 0xeafcb2cd,
+    0x816e3261, 0x6e010fa1, 0xd984c531, 0x371cdcac, 0xced94273, 0x053aff94, 0x77c959d3, 0x26abbe3c,
+    0xf159d845, 0xf5bcdf41, 0xceb480ca, 0x19b90e24, 0x5f08f39d, 0x90033ae7, 0x91896dc5, 0x21e6484d,
+    0x59fef641, 0xe089db48, 0xfc2fc9b3, 0x16cea9c0, 0xd7a16e68, 0xb9651de9, 0x8f471075, 0x27479156,
+    0xec6663ff, 0x9e375a51, 0x1b0a2671, 0x8c5ad215, 0x9f378118, 0x0b2b613c, 0xb3164294, 0x9973037d,
+    0x642eee0d, 0x95a34cd2, 0xa079d69a, 0xc2495042, 0xe5f6e4cf, 0xe9f762f0, 0x0da1902a, 0x77f31580,
+    0xfbb28762, 0x62c9c832, 0xe7b97307, 0x807fd709, 0xdb30be10, 0xb985642a, 0x8fee04e1, 0x77673a94,
+    0xec9d66a7, 0x7103119b, 0x149095b9, 0x5feedd77, 0xb3c21af8, 0xbd8f6450, 0x32066a89, 0x52e40a27,
+    0xd0a5dd29, 0x761fb320, 0x71ca8ae4, 0xf6646f52, 0x48dc5b1a, 0xe6d4038a, 0xff1231dd, 0xeb866cb2,
+    0x81978b38, 0x18cab3cf, 0x2dfa0480, 0xd2910d3e, 0x282d80bb, 0xf24e8aed, 0x7974e2b0, 0x33ecc9fb,
+    0x26276fc4, 0xd9e1be89, 0x00a32e9b, 0x85c373db, 0x5ebc5860, 0x314a8a35, 0x07e83185, 0xad80d762,
+    0x12a5f08b, 0xee1ea12d, 0xed85d391, 0x0d6d7ccc, 0x8e81806a, 0xe355548a, 0x95f40978, 0xfaf901c0,
+    0xc4327243, 0x7bd1a4ab, 0x10f73245, 0x7c3289ee, 0xc94d0cdc, 0x6c17b328, 0x8fcf5d3f, 0xae96c7fe,
+    0xe4a19e99, 0x7182a147, 0x1d217976, 0x51c9c879, 0x4f008b2a, 0x0bc1d180, 0x8f6c31e6, 0x21f8bf41,
+    0xa6870ab7, 0x38e4145e, 0x4f9e829f, 0x7b0804eb, 0x26a72f08, 0x4e2d76da, 0x4cbcbfd5, 0x88db1ec6,
+    0x8395e06a, 0x8a6bc1f2, 0x597bba1c, 0x5d0071a2, 0x29f866d4, 0xa657c1f4, 0xeebf4d4a, 0xd9771ea1,
+    0xe0c68098, 0x5fe1885d, 0x34ac5021, 0x2d5ed459, 0x821fc0fd, 0x669698d6, 0x5feacd7c, 0x96993d09,
+    0x083866de, 0xf170da4b, 0x9528c382, 0x662ace98, 0x4de4fec4, 0x19a8b941, 0xfe540397, 0xabd87788,
+    0x59a8d128, 0x6d5a4df9, 0x60a118f2, 0x469ee22a, 0x8d2d4d95, 0x72e4a5a9, 0xfb53f242, 0x6a575f21,
+    0x5bcb2a61, 0x1ea0fffd, 0x46107994, 0x97a0470d, 0x152c032a, 0x63a3cf2c, 0x329ba4e7, 0x2a161f8f,
+    0xaaddbc0b, 0x6701d625, 0x2e79320b, 0xc97ebe0a, 0x4b65b714, 0x04988e5c, 0x6903e3f0, 0xb14afedd,
+    0xa204498e, 0x5b09bc4e, 0x17b04fbf, 0x93a49016, 0x863fb955, 0xf2563d3b, 0xd6781c2b, 0xb566ab97,
+    0x9487fecf, 0x6ec3f3a8, 0xb399db1c, 0x8593b5a8, 0x5cd5fef2, 0x7842e877, 0x85f43362, 0x06273528,
+    0x40b20f3f, 0xdf5db189, 0xd09a4da1, 0x0a3fc4f4, 0x16433695, 0x75fca9e3, 0xce330636, 0x6fbc1dc2,
+    0xc5d142ad, 0xf3483d58, 0x9a33b877, 0xdb3a2140, 0x718666ec, 0x7b1c569b, 0x4e9db3c8, 0x8fc43738,
+    0x3bcdc366, 0xeec8e1d2, 0xf1b1e200, 0x832f7245, 0x554aee07, 0x82b39d30, 0x596b46c6, 0xbce83c3e,
+    0xa8967b9d, 0x268abb7b, 0x75b4f2a9, 0x0ad9d078, 0xa0f1f9cb, 0x9e4bd263, 0x5c483470, 0xdb17d1a2,
+    0x5a328b8c, 0xfea3bb64, 0x42e4e8cb, 0x080b56d4, 0x1b5f8dd1, 0x3995d38a, 0x1cc1a1ab, 0xba4d7faf,
+    0xdd9a34ee, 0xfbaf579e, 0xd879ba3d, 0x82ab44ac, 0xe81dcec3, 0x5bacf7f6, 0x2ff4d59f, 0x2db8b424,
+    0x7b8f1bec, 0x2f101b59, 0x9b09041c, 0x5d0e6015, 0xd588d46e, 0x5a403c68, 0x37ae4935, 0xad62cdb8,
+    0x6650f201, 0x68c2167e, 0xdc3ba8fb, 0x00c5ac3d, 0x3671d907, 0x8eb6a937, 0x2820aa05, 0x7cab47ad,
+    0x8755126b, 0xc4e47004, 0xd8340bd2, 0x9630100e, 0xefde9a8e, 0x5dae16d9, 0xdd381878, 0x9fdc025c,
+    0x72d91de7, 0xce1ca96f, 0x4a898c08, 0x02f0ce38, 0xd8f76e39, 0x2ce22b17, 0xa9eb0f0d, 0x92064f99,
+    0xe36f7aec, 0xc2f0df2d, 0xd87759ba, 0x93790f2f, 0xbebb010c, 0x17312ff3, 0x4c232962, 0xad8900bf,
+    0xcbd1d50f, 0x5e2e4259, 0xa8568f8f, 0xfe1104fc, 0x1e52cc8f, 0xb694f599, 0xb9ef09f8, 0xae6019c8,
+    0xabf1145e, 0xab26d5cb, 0x741fe570, 0x74e9fbe3, 0x3bf8460e, 0x61906e41, 0xa345f64d, 0xd2887255,
+    0x63b3455c, 0x37b131ac, 0x439633fb, 0xec61bf33, 0xbcbee42b, 0xc1a6eeb3, 0xd316e129, 0x63f067c5,
+    0xa187ced1, 0xea94e1b1, 0x8248ca6c, 0x3bca5db3, 0xbcafa90f, 0x9af7dfc7, 0x8cc5817a, 0x56482d2c,
+    0x7d5d5a58, 0x644352eb, 0x8c3c75a0, 0xcbec6274, 0x82be6c33, 0x058cdb44, 0xb47cef7f, 0xeedf2a20,
+    0x87af906a, 0x2d29e832, 0x5a7c25b3, 0x02bb61cf, 0x387f4ab4, 0x4775aee4, 0xd153f651, 0x34a2b786,
+    0x296bb26e, 0xc16e7743, 0xacf26491, 0xd49617d2, 0x429f8d01, 0xd4ce1b95, 0x7388024e, 0x2f00a396,
+    0x233f8372, 0xf2cd428e, 0x33279ab6, 0x951bfb93, 0x5971fb60, 0xa11379dc, 0x12609d37, 0x873b27a3,
+    0x6d3e096d, 0x7e0e663e, 0xa4f923ac, 0xa1a44089, 0x5aebac10, 0x52df9686, 0x64b9b9b8, 0x504747a3,
+    0x8114314e, 0x31a3f4fa, 0xb18c46cd, 0xe9938e44, 0xd7305392, 0x31445ddd, 0x42077a5c, 0x744b1df8,
+    0xb4535d81, 0xad10b5d7, 0xe7b1d1ee, 0x6c94ef4a, 0xb005641d, 0xaffb8d8c, 0x05936572, 0x8515d60e,
+    0x787afe56, 0x072efb2a, 0x5e62ac21, 0xd5e305c1, 0x415ad879, 0x12cc89c4, 0x5135baef, 0xd29f174d,
+    0x20aaf334, 0xffd5e269, 0x6f1ff512, 0xd905fb15, 0x72232d10, 0x65989d2c, 0x01a9359e, 0x75aee474,
+    0x1eddfd2c, 0xeda17f83, 0x0052c2f5, 0xfee71454, 0x9e3774a1, 0x67cbb089, 0xeb6e200f, 0x4229682e,
+    0xec5edca5, 0x55c19a6d, 0xdbccff37, 0xc5ab84d9, 0xe0402294, 0x1f8eced3, 0x9f564696, 0xc15dcc75,
+    0xd0809511, 0xc4978a92, 0xba826645, 0x3d3d4b12, 0x145bca14, 0x8b2b8458, 0x7d27dee5, 0x0ba6c3d6,
+    0xd63efcab, 0x4c9d9104, 0x3531ecc6, 0xdd75f0b7, 0xb0fc188f, 0xd5c43aba, 0xf0f73a8d, 0x040db353,
+    0x95580594, 0x81886a97, 0xee2ea59b, 0xbd3414c7, 0x4618f716, 0xea318926, 0xf25208d6, 0xe17a3c75,
+    0xefc4f994, 0xadbef9b5, 0xb0aa574d, 0x3c578a89, 0x9fe32404, 0x629c3391, 0x322e335e, 0xc30cc088,
+    0x76fa2c6f, 0xc29919d2, 0xbb131d0c, 0x55feaf3f, 0x77c6e41b, 0xd19c40a1, 0x3036bfe0, 0x0376818e,
+    0xd5be1ad1, 0xd667f0a3, 0xd0d7f17b, 0x50b698be, 0x886f0a7b, 0x4d71bcc8, 0x63023af7, 0x52dcb280,
+    0x706fda3c, 0x83475b38, 0x53a6166c, 0xdfef5c7f, 0x5e90b0eb, 0x4b2c4489, 0x73eef145, 0x27f0877f,
+    0xb619f645, 0xeffdf8ef, 0x7d1ed955, 0x6dbab8ca, 0xead74e86, 0xc80ec20e, 0x7e02522f, 0x3d73e66c,
+    0xd3edbdb8, 0x5a617d66, 0x0d636d6c, 0x3a9baa25, 0x7a480da3, 0xa8f1d4d7, 0x8e34013f, 0x6b4359a1,
+    0x50c2733e, 0xf4760f6c, 0x7a00d470, 0x240e52bd, 0x05068b55, 0x8dc4a426, 0xa09e0b18, 0x47ac118f,
+    0x6cb272e0, 0x1190630e, 0x4511d494, 0x0e6bc6aa, 0x170ac467, 0xa48a6bd4, 0x2d467842, 0x70303c9f,
+    0x9c913297, 0xc2c2f167, 0x05ca5d2a, 0xe2f73b83, 0xd074d914, 0x179e4065, 0xa1a82acd, 0xd41fa59a,
+    0x6bc5fb0f, 0x23b34247, 0xd71a0712, 0xadb5fe1f, 0xcffcfa31, 0x0c25f96e, 0x45ee7bf0, 0x43eefbcf,
+    0xf363887d, 0x1bfe6574, 0x78d8b7f9, 0x05f65b44, 0xcfcbccb0, 0x56185161, 0xd1f6aec8, 0xcecad743,
+    0xcb655d77, 0x3cb4d981, 0xb933be50, 0x44ba696d, 0x749f28a9, 0x32dfcb17, 0x9efb19d6, 0xea7d0a86,
+    0xacac0b4a, 0xdad066b0, 0x9eee29d4, 0x062d2ca6, 0xd6bd85b4, 0xcfcbf934, 0xd5e8df6c, 0x41b72eae,
+    0x219af6be, 0x61119558, 0xaca81c29, 0x5a445a36, 0x6e85be07, 0x88efdc68, 0xa9ede1ec, 0x10fc5769,
+    0x35a7c489, 0x8e9836b0, 0x12b16e04, 0x18a0294c, 0x5a932d15, 0xe75f649f, 0xa6d21846, 0x9a29cdef,
+    0x8fde553a, 0x66cda078, 0xe29e3db5, 0x75206f03, 0x69ee2b9d, 0xea921262, 0x9f6135cd, 0xfef06127,
+    0xc3a60fb6, 0xe7356025, 0x88bc1286, 0x8fd4e2f2, 0x5f2bf085, 0xb507086e, 0x9274ad8a, 0x9709c521,
+    0xab425c58, 0x310c3ab9, 0x63632096, 0xe6d29a25, 0x0ba62f8d, 0xcf826bad, 0xf28290a2, 0xbf4dc009,
+    0x5cd03af4, 0x7d781e1c, 0x68f539c2, 0x1305002c, 0xe78b9cc7, 0x6bd752dc, 0x9476f451, 0x63245c36,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000002923003274661805836407369665432566039311865085952 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d33, 0x65b157f7,
+    0x00000000,
+    0xe9ff0a61, 0x8d5e8ad2, 0xfd376240, 0x851f064f, 0xc7268db9, 0xc8b0a325, 0xb0fb19db, 0x12dbd304,
+    0xa0074670, 0x312998f4, 0xd8f14237, 0x31fbbe17, 0x4d07337a, 0x40a21f17, 0x8ab84a89, 0xe6361248,
+    0xb11b00c8, 0xe4b41fcf, 0x6347ecf3, 0x9c42550a, 0xb4d3de1e, 0xe9770d5b, 0xcabfa242, 0x822b110a,
+    0x1913c400, 0x13a039ed, 0x0770edc4, 0xe6432194, 0x74d4839c, 0x0ac15abc, 0x31e52e9e, 0x421279c2,
+    0xbef2a31d, 0x533ac562, 0xf1893eec, 0x06a811a7, 0xfe80d178, 0xcdeabe46, 0x56e70ad8, 0xa905dcfb,
+    0x2da274b6, 0x85d6aaeb, 0xea482b4e, 0xbb83aa65, 0x50b9842a, 0xec2c825c, 0xf2a3bc90, 0x77df1386,
+    0x1b16c6e6, 0x9d95c3c2, 0x0075f169, 0x28dbccba, 0x1c65a4d3, 0xc9738437, 0xf5726061, 0x9bbf7b1c,
+    0x90073126, 0x79219cba, 0x3306e886, 0x16832318, 0xbf5a1a81, 0xc502b3ac, 0xa8045ee4, 0x44063150,
+    0x6e57050b, 0xdcaf4d55, 0xc7aa78b7, 0x5a30d377, 0x6f4478d8, 0x28edbebe, 0xa68277ac, 0x6ed22054,
+    0x4272bd3e, 0x91f6c039, 0x556deacf, 0xbb3deea9, 0xa1d3635c, 0xfa726825, 0xe2bf99b8, 0xb3b7c49f,
+    0x6b323e10, 0x5454d6e6, 0x4ed12589, 0xc339323c, 0xd8b54c99, 0xfeb785f2, 0xd2fd6afd, 0x032b721a,
+    0x36bbad44, 0x5ee58754, 0xd4a2f2bb, 0xce12959f, 0xaccdbf7c, 0xc1557aed, 0x0a974a43, 0x7c964053,
+    0x464a3151, 0x23843c01, 0x36d494ef, 0x8d2f0a2e, 0xf4fad76a, 0x0c1e5ee7, 0x378f9d65, 0xa4521b1f,
+    0x975d10c4, 0x28cfa762, 0x8fff152a, 0xadaef667, 0x99b5e98c, 0xf6bbfc81, 0xacc7b637, 0xf2d958c6,
+    0x22b094ec, 0x83be97ad, 0x66eff1ef, 0x58acf7af, 0x2a48476a, 0x2be5a44a, 0xeb156019, 0x31af26f0,
+    0xd0d69859, 0x700ae3a1, 0xcd53e8e5, 0xdc168548, 0xc4e91116, 0xe962b47e, 0xbc8abfd2, 0xf7a88264,
+    0xe2c279f2, 0x5253772b, 0x0f563d9e, 0xe603920f, 0x55f96044, 0xbde33fad, 0x2e984642, 0x18025110,
+    0x06ac6bd5, 0xab6fa7f4, 0x044d0509, 0x6d00cdbb, 0x0e5b097d, 0x97835196, 0x88d466ea, 0x17b7be58,
+    0xfd0fd342, 0xd58e4112, 0xc66e3ee5, 0x439a1afd, 0xb4a2303c, 0x02b2c4aa, 0x7211f730, 0x8c820e1c,
+    0xdb7bb669, 0xf7025a90, 0x21a0261e, 0x66c6be64, 0xe5c6f156, 0xa39fbae9, 0xd708760a, 0xd84f9040,
+    0x0f2b4556, 0x0b4db0ed, 0xdd166a18, 0xbd466c09, 0x4730dbbf, 0xc4bccd2e, 0x0be505a7, 0x4f632c10,
+    0xc27bf98e, 0xc8b55674, 0x49ac3024, 0xd69b7e59, 0x2259511d, 0x617314f7, 0x51d42f4b, 0x4a8adf57,
+    0x7665e282, 0xb2f51716, 0x39144f21, 0xf2abc88a, 0x54064944, 0xab844ebf, 0xa49ccdb5, 0x2b9e2296,
+    0x671a1afe, 0xc595fa2e, 0xae8b4152, 0x15eb09df, 0x43e40a87, 0x81294eae, 0xb472b861, 0x30906fd2,
+    0x3c65cdfc, 0xe3522107, 0x626970f8, 0x652fd63c, 0x409feaf4, 0xe57bc90a, 0xb45e556e, 0xa366fbb4,
+    0x7f6cbc44, 0x531d20e5, 0x9d0587f2, 0x80d83ea7, 0x28ca6996, 0x6e3249c5, 0x4638dc3d, 0x587f8abc,
+    0xccc94f8b, 0x30ec9150, 0xa47209e2, 0x9fb65c46, 0xb6bec91b, 0xc1f464c4, 0x3782b14e, 0xae3e29ec,
+    0x9d646650, 0x1780c97f, 0xdced147e, 0x0e8981f5, 0x1f74d675, 0x00b2c9db, 0xbb84718c, 0xd57c2a19,
+    0xa2373e76, 0xe30d6748, 0x5aa506fb, 0x9cd4423d, 0xf55f1a18, 0x5bf5deec, 0x80899560, 0x69934f1c,
+    0xf334441f, 0xd3517a18, 0x36854cb7, 0x34a86359, 0x59ed1c5d, 0x409d5450, 0xaec2f789, 0xd66adbd7,
+    0x0642a517, 0xbdbeca1b, 0x587d09fe, 0x63f40dde, 0xd147b85e, 0x00090897, 0xe6645a4c, 0xbea232fb,
+    0x888423c4, 0xec551caf, 0x7a75530c, 0xf7810106, 0xfd98f68d, 0xa982174d, 0xf4f76978, 0x909af699,
+    0x3b148eae, 0x5e0ef7a5, 0x76e055ff, 0x75595cfa, 0xfada54c1, 0x4f699b92, 0x73bd56a4, 0x3878fecd,
+    0xfcaa52f1, 0x0ab2537d, 0x40fb0a05, 0x921c285e, 0x70dbfed9, 0x05db3eac, 0xc2a3c2cf, 0x54117de7,
+    0x138ce018, 0x7a85060e, 0x01b2cc75, 0xe57f72d6, 0xc58a8310, 0x25d87516, 0xd856a3a3, 0x45b56a33,
+    0x5413b58e, 0xed4cdcf2, 0x7f13485d, 0x0af1ec49, 0x1f4ec9f7, 0x5e7204c5, 0xf162968f, 0x3014c907,
+    0x8c7e1da7, 0x1402c574, 0xbbeb69e6, 0x10a0b733, 0xd80a63f2, 0x275287d6, 0xd12c0c72, 0xcf2ff9fa,
+    0xeb394cb9, 0x25f83063, 0x23f972fb, 0xa7fe6b11, 0xb7b4dcdf, 0x5a149499, 0x64654514, 0x21052ecd,
+    0xa4d0b1b8, 0x3ceaa29f, 0xf6a2b112, 0xe10e734f, 0x0ae0228a, 0x5d3ff07b, 0x9e594da4, 0x7b0a4269,
+    0x2594ffc0, 0x2099c1ad, 0xddc39ade, 0x8d9cf2a2, 0x8d8534a0, 0x41ff1230, 0x742b9447, 0x0103dcec,
+    0x414706e1, 0xe02fe784, 0x42f51306, 0xe27ca4c6, 0x64ebdcef, 0x2b099a00, 0xc4889cb5, 0xccb2dd93,
+    0xb2d276e4, 0xc65ad093, 0x8e5ba2f6, 0x2d981b62, 0x5bb94537, 0x82f2f028, 0x6458ce71, 0x7fbd63dc,
+    0x611b535d, 0x64895b56, 0x970e325c, 0xa846d274, 0x980c6eb7, 0xfaad28e8, 0xc728fd37, 0x896cc95c,
+    0xf41f7a47, 0x517ea539, 0xbc6319c5, 0xdf209906, 0xf7ca2e23, 0x368af7c4, 0xaab6f535, 0x41ca18ed,
+    0x0db8d67f, 0xdba28271, 0x80dc27ff, 0x60d06fdc, 0x4137485d, 0x74adac8f, 0xa1341284, 0xba80484a,
+    0xcef4bea0, 0x1f6cc90f, 0x3f920997, 0x295ff191, 0xd3e304f2, 0x59b15cac, 0x5eaa835e, 0x007de964,
+    0x7df9278f, 0x559a04b8, 0x5a7793d4, 0xcd047320, 0x75537bd7, 0xa184280f, 0x13471b93, 0x23a79242,
+    0xfee2da87, 0xab65131f, 0x97eabc79, 0x8b73e54b, 0xbbf4f9dc, 0x9c5e17ae, 0xd0d3efcc, 0x5cdc3533,
+    0x8bd8d21d, 0xe744ef70, 0xe26c0346, 0xd3374447, 0x5131b0b4, 0xe504c9e8, 0x1af45287, 0xddb9bff4,
+    0x568705ab, 0x1b8a658f, 0x856121d3, 0xbb737254, 0xe841e985, 0x0f4aeed9, 0x3ea7d80b, 0x8495d70d,
+    0xc4d4c9d2, 0xa76d13ce, 0xd232a461, 0xb0bb8d57, 0xfd3af2ff, 0xde338899, 0xa7dcfe99, 0x91f7c884,
+    0x49f380b8, 0xc5359abf, 0x5dbdf942, 0x93a90a41, 0x27d938fd, 0x0f1afe7e, 0x2f6c6569, 0xfd1c9b9d,
+    0xeb395514, 0x592ab3a4, 0x0fa56617, 0xb15a8e1d, 0xffa06314, 0xf3906333, 0x41d4a1fc, 0x3cbee185,
+    0x3fde6970, 0x95df305e, 0xef828e91, 0xe910c705, 0xb76cb685, 0x353b81c9, 0x504f5e3e, 0x8d0fafd2,
+    0x130959c1, 0xa23c7d7e, 0x50e24cf5, 0x35b6ba0e, 0xa8dc0c52, 0x2494313f, 0xede31e94, 0xe825f77c,
+    0xeb90eadd, 0xe9455990, 0xb01a6555, 0x9c452d79, 0xf8f997d7, 0xc0344cad, 0x52c0de26, 0x88c12398,
+    0x43f56b84, 0x936051f6, 0xe5408858, 0x619767b2, 0x414730cf, 0x03165b5d, 0xeb725e54, 0xe7a8c6d9,
+    0x5139efd8, 0xe98ccd6b, 0x3656113e, 0x962f547a, 0x12ca759e, 0xfc08707d, 0xa16939d6, 0x053aa17b,
+    0x27f60181, 0x804f4804, 0x43daea4f, 0xc6173c8f, 0x5adbb409, 0x02fec95a, 0x79557a55, 0x6e6e542c,
+    0x2d709250, 0xc5c0ab2e, 0xf6464d69, 0x9f1c1636, 0x3deebb41, 0xc00bc7c5, 0x963ac8be, 0x5b4f78e9,
+    0xe53c37b6, 0xfaee2591, 0x287a0bd1, 0x379d6638, 0x676f6574, 0xbbf946a7, 0xf515e415, 0x342d69fd,
+    0x4034a479, 0x0849780a, 0x3c930e24, 0xc6906df8, 0x8fbbc49d, 0xbfcaa686, 0x5408939f, 0x24535170,
+    0xf5c4b54d, 0x0bd519bc, 0xd26f672f, 0x124ab8f9, 0x4ef68aa9, 0x6f79166c, 0xcda2ddce, 0x5ab883f2,
+    0x75de77aa, 0x20ac47dc, 0x58df82e2, 0xe195814d, 0x3551be73, 0xd8439df2, 0x42c24305, 0xbff58d43,
+    0xa5a13902, 0x4787eb23, 0x9f746ed4, 0x3b6007a9, 0x46284f02, 0x16952da7, 0x009f55ce, 0xbb88fcb5,
+    0xda2f5f98, 0x2c6f078e, 0x55cf18ca, 0x39ee5bd9, 0xb665e988, 0xeb96f7ea, 0xff690fae, 0x32122bbf,
+    0xfb373718, 0xfce8604b, 0x6c4bae30, 0xb2370c38, 0x61da4ab2, 0x00ba6d01, 0x7857416f, 0x12809dc4,
+    0x748a0673, 0xdf2f116e, 0x05bbe1f0, 0x2da73f71, 0xc7c6c3d3, 0xe13ac824, 0xf560f322, 0x9f8b1ea0,
+    0xcb96d9dc, 0x36afc475, 0xf656519a, 0x5eba0f91, 0x14271237, 0xe3b92448, 0x809598d3, 0x783b7aca,
+    0x466fa568, 0x046978ee, 0x5d5ed04d, 0x7d17320e, 0xc673d294, 0xabec9434, 0x030edef9, 0xe3ee8236,
+    0xe8e07fe2, 0x9b9b32c6, 0x9d9025c0, 0x3910eb66, 0xf8919f38, 0xd4ea5868, 0xfcda5586, 0x3d86b45c,
+    0x56883b9d, 0x1673ea6d, 0x3b323909, 0xc4771fe4, 0x9967717a, 0x850ae291, 0x0c18e50d, 0x628cfd63,
+    0xd8b9d3f5, 0xc5d0ec30, 0x102446bd, 0xf4e97abb, 0x0d0b7405, 0x658a616e, 0xd96e1649, 0x06bc5d9c,
+    0x64dbc8bc, 0x82054217, 0xfc34ba06, 0xff2e0c16, 0xf517f908, 0x8ffd6aaa, 0x4accc7f3, 0x25f558ba,
+    0x6c138abc, 0x947e33cb, 0x1598ad54, 0xa462c3f0, 0xe2575990, 0x10227ff7, 0x633debd8, 0x5f0962e9,
+    0x087af330, 0x3bf10537, 0x7decad61, 0xdb4ba907, 0xed34ec32, 0x783e8273, 0x22507f23, 0xb163f4c3,
+    0x3b2a60ba, 0x663a2b56, 0x3a253ee0, 0xd4682924, 0x7881943f, 0x95d074eb, 0x8a09a95c, 0x0e5f24e3,
+    0x268bc9ec, 0x08f38fef, 0x0d171eb6, 0xc1cc0e11, 0xee12c933, 0x38e66268, 0x92376824, 0x4f1d2f2f,
+    0x420a63c9, 0x52d58711, 0xe320a9e9, 0x2bde479e, 0xe0aa68bf, 0x374dbf1b, 0xf4c6acc4, 0x2e658db3,
+    0x45ac144b, 0x8b86b577, 0xf8334605, 0x981e8b94, 0xd3f1d367, 0x420ad6f3, 0x1009ab39, 0x660d50fa,
+    0x8fdf28f3, 0x11656155, 0x4c28a3a4, 0x65e09308, 0x9b9120d1, 0x06fcfc77, 0x3798b0e4, 0xc8c72bf7,
+    0xfc9c98fb, 0x708e78c0, 0x69d6ee31, 0xc29714a4, 0xb3d5a8c4, 0xe49f1705, 0x0a17efb0, 0xa9411fd2,
+    0x1351b41f, 0x0ed86019, 0x42481b5f, 0xc7a84f79, 0x44bafdda, 0xc5e5dd36, 0x5d7b50bd, 0x487c3cae,
+    0x358785db, 0x2d655366, 0x3614a904, 0xcc596030, 0x36f7e8ad, 0xa830f999, 0xa38b7e22, 0xb06d7fd9,
+    0xba4aa085, 0x729d5d20, 0x9612c988, 0x61b21769, 0x50b0e5ad, 0x098541e3, 0x30de6a5d, 0xa25fef10,
+    0x7f9117fb, 0x3225b932, 0x7271fab0, 0x43e36f0c, 0x0e113395, 0xad08ae4c, 0x208f7f58, 0x343589b2,
+    0xb65e001a, 0x16074754, 0x5b18fc73, 0x564309fa, 0xe9405f88, 0x2d68d429, 0xc21e1cb9, 0xe22d173e,
+    0xc0d910b4, 0x86d99afe, 0xa5764c25, 0xaabcbc86, 0x82473f31, 0x8eaba3d2, 0x9a08984f, 0x57ab583e,
+    0xad3e93d3, 0xcae562c2, 0xd476f360, 0xbe115e3d, 0x22ed1096, 0x7dc9badf, 0x30deeba1, 0x2036a5ee,
+    0x31a44577, 0x4d846523, 0x16d04947, 0x5ca20cee, 0x3441325d, 0x1ff813a5, 0xe5ec8a34, 0x8a43a8ef,
+    0x93f95951, 0xee9360c1, 0x55563ebf, 0x3eae94ad, 0x4a31aa83, 0x2c767d9f, 0x8a7627a8, 0x997834ab,
+    0x71a4efa8, 0xd5a64574, 0x001185d0, 0xd73eb41f, 0x94536516, 0x9e689e24, 0xd807e430, 0x47ea412a,
+    0x1ca72e53, 0x16826024, 0x6d05785f, 0xfd54a50e, 0x7e084987, 0xc13b12c8, 0x51507e01, 0x86a61396,
+    0xdcf51ee7, 0x6b949465, 0xe111fda0, 0xda972121, 0x0d4071fb, 0x1e3e2d2f, 0x97e426f7, 0xb0eca917,
+    0xde607abf, 0xb7e47497, 0x112cdc48, 0xd48e26a6, 0xcf944f8f, 0x74b644d9, 0x3a3297b1, 0xa503b21c,
+    0x83e93fb7, 0xd13ce4c1, 0xfdb9df7e, 0xb5f936d9, 0x462d84b5, 0x272bac46, 0xc2e6688f, 0xc99777cc,
+    0x1faf01f4, 0x1535265c, 0xd4398281, 0x6a515ff1, 0xd9c10456, 0xfc8b70e6, 0x626437e4, 0x2a2bfa2a,
+    0xdc8c9f7f, 0xe325dc4f, 0x2ff0a9f2, 0x0c12ed75, 0x2114bd79, 0x082775ec, 0x28a43a1a, 0x49a72245,
+    0xe03d14da, 0x39239608, 0x08f11b95, 0xc12e9987, 0x1a83dba3, 0x296b19ff, 0x58b9761b, 0x184ab846,
+    0x3f9f42ec, 0x0ea5487d, 0x2b9c33e8, 0xa8bd7a84, 0x6275f4e1, 0xa74c85c5, 0xc7693e65, 0xb7fe1bd8,
+    0x50694e04, 0x75671e51, 0xe97a5386, 0xd1c49f91, 0xeb18e91c, 0x484e1558, 0xbee5a58e, 0x88664f2b,
+    0x37681ab7, 0x4d1d3b6a, 0xc375fa0e, 0xf568b061, 0xd62abb2a, 0xd792c420, 0xfb394b6c, 0x9a18e0de,
+    0x5b6ea8f3, 0xba4359a5, 0x70d5faae, 0xdcb87dda, 0xad58b7ad, 0x3ab47f23, 0xab1091c1, 0xc70c7d4b,
+    0x1cf7eb3b, 0xfdf3d76b, 0xbfe6a084, 0xc9b30ec9, 0xfcc94712, 0x02fcb01f, 0x0808eaeb, 0x1bdfbdca,
+    0x3eb48e3d, 0x47fb6b7f, 0xae533f56, 0x0020d3ac, 0x70c4a76a, 0x08d02226, 0xc9e8ca38, 0x87c02e64,
+    0xcf33d110, 0xfe05e10e, 0xfe47e08b, 0xf04e5188, 0x4cf93b6f, 0x444dbcc4, 0x1e7a482b, 0x427006c4,
+    0x0a330a9c, 0x097d89ab, 0x1f8d5682, 0xfc35ebfb, 0xcdf326b3, 0x40a6409c, 0xfed450ae, 0xdf0fa36d,
+    0xc37a0242, 0x8deb1852, 0x44d2f2ae, 0xb061b9e6, 0xff9408cb, 0xdb9f48dd, 0x97d8cb07, 0x2110f493,
+    0x2440fbda, 0x4a31fbd6, 0xfd71dd00, 0x5334d576, 0x2b99579e, 0xd640aec6, 0xb7481f9a, 0x23922f2c,
+    0xe867e518, 0xfd1160c7, 0xe763ff3f, 0x292d24a2, 0x83ac10d5, 0x83dc1384, 0x7f6a5343, 0x1767bd4b,
+    0x7305f836, 0x13fe8466, 0x4978ee59, 0x487ec88a, 0xa58f9e96, 0x2d257808, 0x6ddd7d4d, 0x3f29cdc6,
+    0x18aa5d47, 0x4a7f4210, 0x8ad1bbfe, 0x712bfc05, 0xd684385f, 0x3cee7542, 0x4e9bde1a, 0x6fd325c7,
+    0x2c1d8096, 0x8e55cdce, 0xa9755ee6, 0x0fb88699, 0xdc02dec0, 0x20146e9a, 0xa43c532c, 0x5ad30767,
+    0x1f278494, 0xbed11a88, 0xf0b4d945, 0x10a8bc73, 0xc2fbc33e, 0x6a17a741, 0x7f963ab2, 0x6f83bd0a,
+    0xd2610130, 0x7f3fdcba, 0x3ca9f6b7, 0xe6af29b3, 0xf37277cb, 0xf1f5de33, 0x91b63f14, 0x0b0b3d18,
+    0x0f8ca28e, 0x59186b36, 0x36c110bf, 0xe7d5914f, 0x122e57f5, 0x0b8a3016, 0x356096a1, 0x15d5b327,
+    0xa08fad55, 0x61e9e98b, 0xc50125c0, 0xb1da74cd, 0x1f4bef00, 0xb10006cf, 0x3a798a95, 0x4ff5842c,
+    0x99d37d60, 0xe0b07277, 0x1750c12d, 0x69593dcb, 0x6881d257, 0x4c27296e, 0x1186a62c, 0x3ca6a4d1,
+    0x7ad5d0e3, 0xc7d83e34, 0x6b1009a1, 0x82d520db, 0x5067b710, 0x50bbcf8b, 0x3869452f, 0x15de170b,
+    0x55a704b4, 0x5d284402, 0x99f587c9, 0xd9eaccb7, 0xdc4e7332, 0x3b673900, 0x310ccbda, 0xfe98401c,
+    0x7ef7d042, 0xe47304b0, 0x8fefc674, 0xc23db90a, 0x3ec3738e, 0x490f4f55, 0x9287ae32, 0x3f902485,
+    0x71397534, 0xb345eaf8, 0x9da17367, 0xcd3b9690, 0x3b21e84e, 0xa49d566c, 0xfd0329ce, 0x0eb83e47,
+    0x2bf8786c, 0xc4da577a, 0x723e9203, 0xc8e7dd6a, 0xa26bc005, 0x4d897ad2, 0x85506fbf, 0xfdd53a3b,
+    0x32ae1440, 0xf2b12a13, 0x30e9b4a2, 0x4749e9f8, 0xabe5d5fe, 0xb9ec8c66, 0xa92f8450, 0xc0997414,
+    0x691f04ca, 0x78b8df6d, 0xcc703d02, 0xbd3c9511, 0x313af255, 0x39dc6d4e, 0x71f22273, 0x837f2926,
+    0xa3dd896f, 0xa39b95fa, 0xb94cf395, 0x7b24743e, 0xced45217, 0xf6db103f, 0xff629753, 0xb96a1ecc,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000001461501637330902918203684832716283019655932542976 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb699, 0xb2d8abfb,
+    0x00000000,
+    0xad10a8c5, 0xbaf870a2, 0xceccd5a3, 0xd449f526, 0x5bca3df2, 0x4bf01bed, 0x2d9ee58d, 0xdf7a1885,
+    0x01e76cac, 0xf03a3b2e, 0x820db9d2, 0xf71c15ca, 0xcfbbab98, 0x5325eff9, 0x5cc82e7d, 0xa6664df6,
+    0x3fa62778, 0xd62b6124, 0x9b51a6d8, 0xa8a31e47, 0x38cb6355, 0xe8dddada, 0x4703fcf9, 0x05542fa1,
+    0x91d23af6, 0x299aa06a, 0xcb686296, 0xb87bd7f1, 0x857c8dcb, 0xefb4b82e, 0xca3d3e56, 0x2350aeaa,
+    0x8a0def35, 0x342d86a3, 0x7e129ade, 0xda061ccc, 0xc02bc1e6, 0x1f510c57, 0x76257f7d, 0xc1b49633,
+    0xa755d0ad, 0x17cec9eb, 0xfbf7a421, 0x36f05b6d, 0x5ba4883b, 0xf88a90c8, 0x8ec681fb, 0x88711772,
+    0xf27c53e0, 0x247553ca, 0x8296ae3d, 0x334bded0, 0x8775eda6, 0x54fcf627, 0xbb23b505, 0x71806629,
+    0xa95b58e8, 0x893b6502, 0x9794d6ee, 0x2e890524, 0x548ecdbc, 0xcda8c528, 0x02869b65, 0xe8133417,
+    0xef11e606, 0x0795993a, 0xa0716842, 0xc7b47b12, 0xd57d3bf5, 0x351b9cac, 0x1fa00fcc, 0x89dc0b81,
+    0x52505540, 0xddb4287c, 0x76b382b1, 0x18d9650d, 0xdbc41cb3, 0x5f39bcce, 0x6b249b3f, 0xf901dfab,
+    0x9aba3ef5, 0xc847c099, 0x29504093, 0x884d3eeb, 0x6887cb90, 0xeb8daac9, 0x6b71d7f6, 0x22895d4d,
+    0xc9ad47a7, 0x69adbcac, 0xc4cfc53e, 0xf55aea1b, 0x1af2af94, 0x6ec73645, 0x3b29b973, 0x11ccf45c,
+    0xbbf0c2d8, 0x85307bb5, 0xfb6b6916, 0x7ecc4dfc, 0x9b5aed51, 0x8942720e, 0xd64cd510, 0x7cc4320d,
+    0xd95d15cc, 0x9fde593d, 0xa1daff51, 0xb1c2e68c, 0xc1a4ff9b, 0x06d27fd9, 0x0f5f7398, 0xdd7a4bc4,
+    0xc6fd02eb, 0x694b3482, 0x62af06d6, 0x10bf28a1, 0x19159f8a, 0xe3c1c3de, 0x71f4fd9f, 0x09075a72,
+    0xdff7b672, 0x713dfd95, 0x4ef99c39, 0x24c61655, 0x7da4e3f7, 0x53233183, 0x71f3f3e2, 0x13f556cb,
+    0x3e4d8867, 0xbdedf6dd, 0xfe38a680, 0xbb1c4da4, 0x27dd7142, 0x5c4d2481, 0xfdc73a16, 0xace24959,
+    0x9649dafc, 0xf635a764, 0x143cd90f, 0xeaf7bd4b, 0x27180c96, 0xb99f5f68, 0x48c6388e, 0x3d241c88,
+    0x27d6e227, 0x28fbfe51, 0x36d8b200, 0xff73f3ec, 0xf893926c, 0x9b9ebb6b, 0x7af08d2b, 0x781a2fd3,
+    0xa71029a0, 0xe6358454, 0x66136275, 0x6d8e6ab5, 0x65533c17, 0x26f199c6, 0x2875ccee, 0xbdb405bd,
+    0x168d43b2, 0x15c6c249, 0x71169a3e, 0x160f04d7, 0x90448012, 0x4be0f146, 0x65b18b76, 0x3fc28704,
+    0xd3224fdf, 0xa4f331d5, 0x74dd139d, 0x5708335c, 0x6f2a4e6d, 0xa40bce51, 0xa021f8d0, 0x872a0145,
+    0x629dc104, 0x841dc42e, 0x9e321111, 0xdb81c0d8, 0x596cb5a7, 0x9f751b3e, 0xafe833a7, 0x5534b089,
+    0xf8dc2e05, 0x7fd6b8a9, 0x6e7bc139, 0x08b92dc9, 0xbe41819d, 0x2750cf0e, 0x54b18854, 0x44225099,
+    0x3ac6c8ee, 0x875b04c0, 0x18731676, 0x187a08c9, 0xdc17bfb5, 0x6e731b9a, 0x7f9d66c6, 0xb8611571,
+    0x0125973b, 0xccc8b8ba, 0xbd7c843b, 0xbbbd1b58, 0xd42705a3, 0xdeaa0cb3, 0x1b252ee4, 0x14461055,
+    0x50364b94, 0x053f2a50, 0x75716a7e, 0x24f688bd, 0xc43a7029, 0x4b6de630, 0x33ebb03f, 0xeed0b758,
+    0x406a5104, 0x7705907e, 0xbb9c2eb4, 0x05079168, 0x4cc89769, 0x77be8633, 0x1a177661, 0xf635f94d,
+    0x7b976113, 0x80758fdc, 0x4d2c0f64, 0x58688e22, 0x373d2653, 0x8e8d5e64, 0xe300e439, 0xc41dfd93,
+    0x9a78b4e6, 0xc6b87e42, 0x197906da, 0xe2a1902f, 0xd3bac8e9, 0xd85940aa, 0x6e6aa4af, 0x33f06ad6,
+    0x51fac6d9, 0xd612d9aa, 0x386d4e84, 0x23b2b9fd, 0xbea2ff0f, 0x847c20b2, 0xfe196b8e, 0x3887d8af,
+    0x1fb45a54, 0xe9e0e20a, 0xc0e2bd69, 0x030b8ae9, 0xce23241f, 0xf71c1fb2, 0x27e1c8c6, 0x90ae139a,
+    0x96166c75, 0xe12a0d23, 0xdf6c15cd, 0x14f0a695, 0xa36a322f, 0x8fa9db25, 0x2bdace0e, 0xa177f3cf,
+    0xa5687e9b, 0x066e89dd, 0xa9d8d201, 0x35ff37b1, 0x4684b59f, 0xe07ee273, 0x7e5f58cf, 0x72838bdf,
+    0x3c1f9707, 0xfb4aab01, 0xe61ce415, 0x7e83b320, 0x8c2cfb31, 0x74cf4a39, 0x3fc8c49f, 0xecebf861,
+    0x59e5c76c, 0xff7c8351, 0x4f364580, 0x0daa541d, 0xbe0eacff, 0xbdf22f3f, 0xa8ad86e0, 0x6dc37269,
+    0xbe821df5, 0xb102223a, 0x391c6b27, 0x1c71b115, 0x87a3c414, 0xbafcf2af, 0xdc46e863, 0x5335decd,
+    0xec0e2542, 0xeb0b5b87, 0x201bb785, 0x76fc92c7, 0x72ef16ee, 0xec76c96e, 0x749c8793, 0x80bf55bc,
+    0x161dd225, 0xf65e50c8, 0x6c10bdfa, 0x03917fbe, 0x2e667c27, 0x72bc0925, 0x1260ed28, 0xb8dfcefe,
+    0x32a34d0c, 0x8816753b, 0xffa6405a, 0x639d21c5, 0x301c4b4a, 0xc337636b, 0x6e35c1f6, 0xc1423691,
+    0x0f0a756a, 0x0a9e72d6, 0x8ade44c9, 0x12294649, 0xee557c81, 0xb483f979, 0x68572e0c, 0xe5161aae,
+    0xe29adfac, 0xef6ab9be, 0x40b41ef5, 0xf2fdd8ff, 0xaab54e29, 0xe9100eaf, 0x56f9bad9, 0x8fa0fad0,
+    0x70e3e782, 0x08fc3770, 0x825c7afd, 0x7029d86d, 0xb700b3c3, 0xc7ca118b, 0xe6908af1, 0x237e4f8c,
+    0x8b37f462, 0x42092680, 0x2cb1a382, 0xac3f9c30, 0x32c3a0a8, 0xae864358, 0x99f520d3, 0x4eb2fd8c,
+    0x604e7724, 0x7bcb81e2, 0xa22caf98, 0x3135ca0b, 0x6a0cfad7, 0xe69bf9d9, 0xdb5f71cb, 0xf90eb70a,
+    0x363f6e7b, 0xdf4e4f38, 0x31c63cfc, 0xffbd1f60, 0xc4e77ec0, 0xa7d2e054, 0x7153fbc8, 0x565a8ea4,
+    0xa86ba4d2, 0xb2690dfb, 0x69070c87, 0x9a769135, 0xdc413d74, 0x36860831, 0x3c70eca5, 0xd8040b01,
+    0xdb300ec1, 0x2379d98a, 0x1affa811, 0x3bfa87f8, 0x0d8ca08e, 0x037aed6e, 0xaf918ef2, 0xc246d6ce,
+    0xe4e40017, 0x4c618c4c, 0x434722b3, 0x91cd3813, 0x9b077984, 0xec8bd980, 0x49319c50, 0xf9e79d5c,
+    0x380507f8, 0x2cebb768, 0x61233f49, 0x07e4d318, 0xf9bea940, 0x861f5d7f, 0xc5058786, 0x23a0da08,
+    0x3e25eb14, 0x9d45000d, 0xb6ea738f, 0xfd45d7fb, 0xa984df17, 0x5ad629ba, 0x7f7ddfda, 0x5d497337,
+    0xff275275, 0x75504a49, 0x5c7c8221, 0xf14ee1f4, 0x65bb8aa6, 0xa0c1a18e, 0x7b02c651, 0xe8318d5c,
+    0x2c9403d0, 0xbd934d9e, 0x079181f4, 0x69ec80f7, 0xa4f376bb, 0xc6b6a0a4, 0xbcc164b9, 0x0abe306f,
+    0x20f08846, 0xfdb83f8b, 0xaea02032, 0xfe9164f4, 0x48d9515b, 0x97e5eb06, 0xedfe0795, 0xd41d5d72,
+    0xe17e3f9e, 0x39f24e7e, 0x292781c6, 0x1aca8a7e, 0x0faa9127, 0x1ddede67, 0x7d401bc7, 0xb43a41fa,
+    0xcacff198, 0xd1d47866, 0x7091d520, 0x9312d3ea, 0x08140f29, 0x78c8b983, 0x8b42c1ae, 0x038188aa,
+    0xc8c0424f, 0xee3c8966, 0xbc1b0f10, 0xb249a6c4, 0x20834d17, 0xe97bf4c0, 0xca66784a, 0xa5f8fa2b,
+    0x4ca5c44c, 0xd87f92fe, 0x0a1a1e6f, 0x396a37e0, 0x4e312bbb, 0xd9989d7c, 0x6f2b286f, 0x402ed7c8,
+    0xb5574bde, 0x3df0adb9, 0x318982d2, 0x86367e88, 0x9c58e8ed, 0x9d014c0c, 0x4823e94a, 0x5283044a,
+    0xa767cd9f, 0x1b9431c5, 0xae902bb4, 0x132e3465, 0x15b29e0d, 0xbec75e8c, 0x8b543909, 0x1ebc04b0,
+    0x6877e822, 0x341f9bc7, 0x644d5742, 0xe3093fb8, 0x02c47c25, 0xa887faa8, 0xf6468267, 0xffb0e605,
+    0x6e7006ee, 0x5980c5ed, 0x7552631d, 0x80ab4318, 0x357bc5ef, 0xd9d99cb7, 0x99c3ca94, 0x40de0d12,
+    0xbb0ca7c3, 0x21366d9d, 0x630f0f3f, 0x92c47c86, 0x5070e00f, 0x3f33dc4e, 0x337eec11, 0x0ab88847,
+    0x9b0a81c7, 0xb2be50e4, 0x0b207d09, 0x21d3829e, 0xaef8b5c2, 0xb6cc576f, 0x2b4553ec, 0x45525ecf,
+    0xd69ef3ed, 0x13418d0d, 0x88384821, 0x2b68fc5c, 0x68cad232, 0xdfa61de2, 0xb23383ae, 0xc68fa120,
+    0x45a841c6, 0x3c1da1ff, 0x99afa831, 0xd78775c0, 0xd4bf80f6, 0xaa278f80, 0x29136973, 0xbf9c3c6f,
+    0x8fe8297c, 0x7332dced, 0xf3344102, 0xe45e36e7, 0x0e4fb8a2, 0xe34b428a, 0x32507b18, 0x647df7cb,
+    0x7f88a44a, 0xce25c6e0, 0x035e00fb, 0x0b3a91b5, 0x8de853ec, 0x2ece487a, 0xa30e6997, 0x0aba3fa9,
+    0x76c5f35c, 0x589d2f68, 0xb4213fb3, 0x950384ec, 0x57b072d2, 0xd1e0e810, 0xcd475f31, 0xd0db91cb,
+    0x7d74ef7e, 0xa1308873, 0x07c16e60, 0xd2a050b5, 0x6e9bf233, 0xb89bddc0, 0x2bda6d61, 0x50eef48c,
+    0x03af22e0, 0x10207161, 0x514550ad, 0x5f1e3d50, 0x3b27a1f4, 0x71871b2a, 0x149e33c3, 0xea3fb835,
+    0x7a9b5c54, 0x3768c462, 0x0e3add08, 0x344b3443, 0x9f314ec9, 0x9f592cf1, 0xe61fae00, 0x29c8d9f1,
+    0x5c33cfab, 0x1b3e397f, 0xe3331f74, 0xe7925eb3, 0xe3aed988, 0x2a9f11c6, 0xfe1255fb, 0xe820d9bb,
+    0x8ddc74b6, 0xb88c405b, 0x3e8c1c99, 0x996473fa, 0x17dd5a4a, 0xf713731c, 0x1b2db777, 0x2536c7a9,
+    0xf6957618, 0x4eca95f3, 0x7100c9b1, 0x244d65e0, 0x293d02d4, 0x2fb5e313, 0x4dae7a19, 0xbf51ed79,
+    0x3295bda4, 0x4e1b638c, 0x670b2a2d, 0x074c1f92, 0x41c36d04, 0xec5499e9, 0x0f19daee, 0xc8158019,
+    0xe756373b, 0x29105061, 0xa7878dc4, 0x3d0bea93, 0x546fe3af, 0x0c5404cb, 0x1f628e9b, 0xed681421,
+    0x39374bea, 0x84067326, 0xce7d9913, 0xf93d54b2, 0xc8f03436, 0x82e47010, 0x03bdd25c, 0x590b1b66,
+    0x84f25d99, 0xd3f48d6d, 0x22d07b6c, 0x4d00e5ed, 0xa4318158, 0xfb247647, 0xc111aa01, 0x3a88bd63,
+    0xa4ab9760, 0xd1a3c3e3, 0xf0643a99, 0x302cbcd9, 0x4f7f7220, 0xc0306365, 0x8b6c9a71, 0x38eb244c,
+    0xd6ffa44c, 0xe3b183f1, 0x9400522b, 0xe58c167f, 0xcacb4d0a, 0xdb225697, 0x73f449d7, 0xb88aa851,
+    0x99a7fc41, 0x913b7869, 0x08c25ecf, 0x0060b3d4, 0x227c85fe, 0xeeaa3d55, 0x76ff0abb, 0xee1ff04c,
+    0x08548982, 0x502bd35a, 0x2633a2ef, 0xa2ed678d, 0x44d796b9, 0x4afbbd88, 0x1425dc8f, 0xd088ee44,
+    0xf6cd64f1, 0x9b07d93f, 0x42aea3de, 0xf5c21f9f, 0xe93bb787, 0x5b2342c4, 0x7f9e400f, 0x1310965e,
+    0xc9999f82, 0x11ce27ff, 0xa66524e4, 0xcb19f3c1, 0x17aa037c, 0x3462e3c0, 0x20ba78c1, 0x5229afc1,
+    0xc321471c, 0xba0de802, 0x49b61843, 0x9a297892, 0x8d505df3, 0x504e4ce9, 0x49d06530, 0x4f8d5dac,
+    0x10caa316, 0x52076fa1, 0xf9a538d0, 0xeb3b64b5, 0x3c81a376, 0x70ca3504, 0xdd6f1e0f, 0xc504f532,
+    0x0607f76f, 0x023074a4, 0x4b640368, 0x0f1a4a4d, 0x0a5f932b, 0x9a4fd08d, 0x80571ab7, 0x9b237643,
+    0x6f96cea2, 0x8a3a7357, 0x6cc0fcbc, 0xef0258e9, 0x5efbed8d, 0xc3298053, 0xdfb16e69, 0x86355ec1,
+    0x29e4bfbd, 0x9f242e5e, 0x2bade845, 0xa8f3316f, 0x05e15040, 0x7e651a01, 0x2bfa46c9, 0xddb83308,
+    0x1fb23f1b, 0x26f9bb10, 0x88161560, 0xbb3c36e5, 0xad91ac9a, 0x50c2cdc5, 0x463dc0fe, 0x9858f7c6,
+    0x2626b34f, 0xd44ce1cf, 0xb95f4c3e, 0x1276f661, 0x2fcce948, 0xd96218f2, 0x3de8363e, 0x9a7de9fb,
+    0xa6557eed, 0x9fcb5664, 0xa15ede9e, 0x1d206b52, 0xcfcc45fa, 0xc3a0a3f3, 0x70d47517, 0xa5b47e35,
+    0x0036c8da, 0x0d30d6d1, 0x2865f694, 0x73cca224, 0xa5f6d33e, 0x3ce224cd, 0x8fa09f98, 0xde833a64,
+    0x4fc958ee, 0x9c11f603, 0xb998213a, 0x74c6e9e5, 0x3bc2b6bb, 0x97def173, 0xe41595da, 0x8eb462d8,
+    0x0786b459, 0xadb48089, 0xd0868b0d, 0x300c16ba, 0x89e486cc, 0x4e57b8ee, 0x91833029, 0x63ca8d3a,
+    0xf0ccbb55, 0x0db96260, 0x7705f003, 0x8c133ddf, 0x9b3deda7, 0xa9d3ab0b, 0xc05f1d56, 0xac2f75b9,
+    0x5e68648d, 0x76433092, 0x55a41d3c, 0x0b6a0d0e, 0xb5053b7e, 0x63e33925, 0x32f99f9f, 0x39e929a7,
+    0xf00dc337, 0xed24dbed, 0xe51b8b64, 0x79df37b8, 0x7c6f318a, 0x0d6ab617, 0x2d2ae1a4, 0xd3b84658,
+    0x54901f75, 0x61ccb732, 0x813f3d73, 0x1d4f9736, 0x07df0fb1, 0xd720c196, 0xf5586c6f, 0x2568c6b3,
+    0x976aa658, 0xc25279d3, 0xd23124cc, 0xb911c8a6, 0xfc394fa7, 0x92a3a5fe, 0xcae38ae4, 0x4f1a592e,
+    0xb2998547, 0x99cc979a, 0x6a9870a4, 0xcd868476, 0xad2f871c, 0xf9a594fd, 0x82e80497, 0xadc831e5,
+    0x88bc97bc, 0x3b5bb28e, 0x1a43335e, 0x77cfd619, 0x1cd433e1, 0xf33f9b7a, 0xb4d62c33, 0x163af134,
+    0xc10743bd, 0xdfda920d, 0x3f70d193, 0x9ec827ca, 0xda4fa92d, 0x15def189, 0x7caff09e, 0x30eee54b,
+    0xffa04c86, 0x5ebefb12, 0xe3182e93, 0x25ad48d4, 0x729eb8ba, 0xfb5171c0, 0xcc1aa22f, 0x0f7878c8,
+    0x7c95dd20, 0x2f02a454, 0x0718bfe7, 0xa02e8cfd, 0x60e5ff5b, 0xba46ff2e, 0x35f08533, 0xf3ef4eb2,
+    0x73d08da9, 0x4a4354c3, 0x9544cafb, 0xec90db86, 0x45bc1ce5, 0x8b263363, 0x5731cbf6, 0x5db2000d,
+    0x19414f3f, 0xb83e23bd, 0xa960743e, 0xed077e99, 0xfc1214f1, 0xebbaf1b6, 0xae44d7b4, 0x9bfe854a,
+    0xe3cfde81, 0xf8a753f7, 0x502f3f28, 0x264d8523, 0x661401ec, 0x3d285f5a, 0x5e211c6a, 0xbbc62f83,
+    0xbeaf08b5, 0x4ad6d53c, 0x900f112c, 0x9da1c08a, 0x9fc32ed0, 0x8621898b, 0xd3acb980, 0xd61de63c,
+    0x4297e326, 0xeb7eae38, 0x7aa30eb3, 0x6c2395bd, 0x7266dd44, 0xff17a143, 0x2dbd1a85, 0x43f60292,
+    0xee8ac3f4, 0xcc512d00, 0x46223c62, 0xea90af95, 0x54804e75, 0x4c560818, 0xf28e69d2, 0x8f372948,
+    0xfd985177, 0x8badf960, 0x7dbb3d71, 0xd3ddcdde, 0x40d2cbf3, 0x5438f0e2, 0x6510943d, 0xe078296e,
+    0xb0ac0661, 0x32598c7b, 0xf93d4c77, 0x3517d2ee, 0xf3b89ca2, 0xa50fc856, 0x1d64d539, 0xc7a6d75d,
+    0x37ef3571, 0x0e230e12, 0x6cf4bd4b, 0x60960eaa, 0x26f6218c, 0x767de7ca, 0x66c05971, 0x85b41ce1,
+    0xfa13c543, 0x3aa73b8b, 0x1f81a0c2, 0x1ee0047d, 0xf0ba7a1f, 0xafc33800, 0x94eaca2b, 0x47dd1aa3,
+    0xc758ab84, 0x0a5b3dfd, 0xc6a54750, 0x89f6ca6c, 0xf4437aeb, 0x3d0662ae, 0x890300a1, 0x360572d1,
+    0x22d6fc5c, 0xf5409d3f, 0x8cf48d68, 0x787ad434, 0x9f374b8d, 0x25ae6d45, 0x3017918f, 0x4482151a,
+    0x7431297f, 0x42db14c7, 0xba75db1f, 0xe3d258be, 0x9b4f1afb, 0x5f4fcf0c, 0x2a8b1028, 0x5e269aec,
+    0x90f1922d, 0x0ab495ca, 0xc3364a33, 0xaa6750de, 0xdb53edd7, 0x32be9049, 0x5f69db69, 0x6f40ea50,
+    0xe6eea25f, 0x2a111a6d, 0xe8ce6045, 0xa89e49d6, 0xd5dd9ac0, 0x3c517cfa, 0xf87332cd, 0xe423fb7e,
+    0x60ff0475, 0x35a120a1, 0x2ea46956, 0xa068ad1e, 0x9bc1b15b, 0xb8942f6e, 0x29630e01, 0xc2c88914,
+    0x11d8f73f, 0x5a69c609, 0x99fbab5f, 0x895935be, 0x6e69570d, 0x64b68056, 0xa21bb2f9, 0xcdebfd9e,
+    0x064f9e12, 0x744f00c0, 0x354b9ec2, 0x98bc0be1, 0xb0bd3b56, 0xc67c8a4a, 0x1048e0d1, 0x94c02637,
+    0xb931fcd3, 0xe1b0c5d9, 0x6be9af16, 0x0e4dffb8, 0xd87add9b, 0xb059b23e, 0xb1b0e0b4, 0x11254981,
+    0xa2af4587, 0xaadd665c, 0x1b3d9c99, 0x502363e5, 0xb3443b04, 0x7ab9b4dc, 0xb090738d, 0xfd8a0416,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000730750818665451459101842416358141509827966271488 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4c, 0xd96c55fd,
+    0x00000000,
+    0x94d62a91, 0x036d7ad2, 0x61fd2063, 0x6b65a7ea, 0xad5c2214, 0x69241059, 0x3f2556ae, 0x19a7aaeb,
+    0x0aff0d04, 0x9597d20a, 0x802436e2, 0x6387e9fc, 0xe978657c, 0x3f98bf18, 0x793f7cac, 0xcbc73f2b,
+    0xd6d4b4d2, 0xd97ff70d, 0x74126937, 0xf9458107, 0xd98472bc, 0xdbc662a6, 0x0c0d5cac, 0x97994aa3,
+    0x4df39354, 0x095d7708, 0x74fea8d9, 0xa157c1ab, 0x0d2fb72e, 0x73899fba, 0xd080cea6, 0xc28efb29,
+    0xcfb909c0, 0x05aacd6c, 0x800c63e0, 0xd7db986a, 0x3a9eb25a, 0x96017979, 0xdd63f36a, 0xe9919393,
+    0x19ee5d57, 0x66385401, 0xce71d816, 0x57456b74, 0xcf332e9f, 0x3ca2ddcd, 0x8a86c174, 0xd7a07f7e,
+    0x0dfab176, 0x11ae94d4, 0x921c3e98, 0x25147303, 0x35c47144, 0x4f4e85b1, 0xb44d5355, 0xec0b94e4,
+    0x5021da12, 0xb08ca776, 0x3d677cab, 0xf06870f6, 0x21513da5, 0x258f21aa, 0x2fd0698f, 0x66383d05,
+    0xfc6b2e08, 0x938f737e, 0xd40ad780, 0xdb8d20d3, 0x6268e3d2, 0xf27f4dc4, 0xfe358987, 0x1843ecd3,
+    0xb57f5b35, 0xc5e63576, 0x5d76e2c7, 0x9c9cebaf, 0xbcd03ca0, 0x400c6805, 0x4fd20554, 0xea153e8c,
+    0x1463fdd3, 0xf8265728, 0x6e2a1f78, 0xbfd45d65, 0x76bb808b, 0x6b0c8d8d, 0xe1add8fb, 0x1d55aa69,
+    0xd712ed64, 0x8a9092b8, 0x68c59078, 0x3f2a4a6e, 0x0f50da6e, 0x84e56633, 0xb88dfdf2, 0xa225b9f2,
+    0xd414f11d, 0xe55d9542, 0xaa96f99d, 0xefac181a, 0x9a2d6fa2, 0xd62ded9d, 0xd33fcf1b, 0xeeb85fe2,
+    0x61f10061, 0x38eb52b9, 0xadcb2706, 0x0856e3fc, 0x320b71ca, 0xd23430eb, 0x34298dbb, 0x2f8b8984,
+    0x6bd2646f, 0xd1dd021e, 0xaa2f9ab0, 0x7eb286f8, 0x32aaf875, 0x4bfff008, 0xf8b6b921, 0x4f61ba55,
+    0xb81511b2, 0x3465c0df, 0x8711771a, 0x19516518, 0x7dbd11d2, 0x0cc52dbb, 0xd2a82f38, 0xb5b5cb80,
+    0x98e245e9, 0x4bd2807e, 0xdd899d3f, 0x4c78ac4a, 0x437eaec4, 0x9187dc82, 0x3da0da66, 0xf404c411,
+    0xa2d60d16, 0x8fc6ee5a, 0x66fe1324, 0x70e545a7, 0x5e4c21d9, 0xb3f2f6c3, 0x57c69762, 0xfe790e32,
+    0x6e622f9c, 0x39fcc0ab, 0x6040d4bc, 0x56e8974d, 0x9f1bdfa5, 0x5f445920, 0xa2f60320, 0x3d3cdd32,
+    0x2dc8b36a, 0xb9811964, 0xc3532919, 0x7c7134e2, 0x0c6a8064, 0x1db86162, 0x8bc343bf, 0xea4ccb7d,
+    0xff87e1ff, 0xc4e639e2, 0x1b4138b9, 0x9f8edaba, 0x5967083e, 0x85e002e4, 0x58aa64a9, 0x07e4e8e7,
+    0x81cd9e95, 0x89102f19, 0x77781f57, 0x133d9029, 0xd6765ae9, 0x309f7cfb, 0xe4054954, 0x9d4e246f,
+    0x4673f31a, 0x38e7db91, 0x58659fd0, 0x182df26f, 0xa138b40c, 0xe8401f0a, 0x45f3fcb7, 0xaaf19c7b,
+    0x77a894a7, 0x38b7bcfd, 0x18132567, 0x3c1a5d4d, 0xf3dee882, 0x07c8e624, 0xc5681273, 0xc745d698,
+    0xf399dbdc, 0x8a02aad4, 0xeae0646a, 0x0fd01413, 0x0b75d60c, 0x382fdf6e, 0x621276cb, 0x9ffedaea,
+    0x4ee22141, 0x149eed72, 0x62add2cc, 0xd1a0def6, 0xb56c74ed, 0xd2e08696, 0x836442b8, 0xe7421b64,
+    0x13ac570f, 0x694bb96d, 0x76637015, 0xf17a2b32, 0x00bcf8a0, 0xb20c70cd, 0x4b6cf4dc, 0x350ae097,
+    0x6b78c1cc, 0xf599f7c6, 0xa12aaa65, 0x6876cb58, 0xa37f9b2c, 0x28412b04, 0x9480bf04, 0xda5c6a37,
+    0x3313290e, 0x843fd1cd, 0x7db23e81, 0xe49dcd39, 0xd883e6fa, 0x443be1bd, 0x8323bd3f, 0xfd0c5f24,
+    0xfc3ff245, 0x794d153c, 0xa8e3673d, 0x7cf25c79, 0x50b2c256, 0xc3525fbd, 0x62bd31c7, 0xaee5a710,
+    0x005966ed, 0xa2dda3fe, 0x86787795, 0x821aba43, 0xb07c85df, 0xe17be798, 0xad80c782, 0xa1acae90,
+    0xd2ffab8c, 0xa5661833, 0xe41c77a8, 0x26105b9e, 0xa75d03e1, 0x4fcddd68, 0x5105a286, 0x8e282647,
+    0x64ec9066, 0x5e5caad4, 0xa7ce4e69, 0x5de28093, 0x14b3eaa2, 0xcc55f1dd, 0xbedccd5c, 0xe663ddb9,
+    0x4d507c3b, 0xa658cf94, 0x7b560e6f, 0x60d9f1ff, 0xec800083, 0xd54a2bbd, 0x01d7ba84, 0xd9b3a469,
+    0x914b2a7f, 0x40d258fe, 0x6a40c874, 0x94d1cd8a, 0xfc13da82, 0x4c983cd6, 0x1bd64f6d, 0xdf7f8484,
+    0x56d02dff, 0xdcf52eb4, 0x5b97fef4, 0x706753e7, 0x13caefac, 0x0f82ddff, 0xfd5ff841, 0xc7700595,
+    0xd5333ed6, 0xdce4e77e, 0x35963d74, 0xd041f2ac, 0x76945d9e, 0xde52ae9b, 0x7db025f8, 0x341c14cd,
+    0xfb962e39, 0xc96f3b77, 0x3b73307e, 0xe4c6c640, 0xc4bc74ab, 0xeebcc01e, 0x7157d627, 0xa7547295,
+    0xa7b6d8f1, 0xb37c5967, 0xebf840d4, 0xa083704c, 0x6bc7ff62, 0x7c816ec5, 0x9e533f9c, 0x32e25d7f,
+    0x502a90e1, 0xb186bff4, 0x6f86c644, 0x920603bc, 0xf70bfad4, 0x03faade3, 0xaeb361bc, 0x3db19f1f,
+    0x9a992024, 0xcb4d2a96, 0xf6e202d5, 0x24fa473b, 0xe4fcc36a, 0xf4648124, 0x9253ac45, 0x728e1ddb,
+    0x2f5e2ccc, 0xf5cc0d6e, 0xa079c0d2, 0x975445d9, 0x1e12738c, 0x34974fd8, 0xfcd3a760, 0xc7e7a282,
+    0x0f03f870, 0x0ab3048f, 0x97fce0e1, 0xe474031e, 0x7dd72018, 0x29eb4280, 0x014d0b3e, 0xe96d4bb8,
+    0x3a504079, 0xe4879960, 0x0904437f, 0xfbca9bbf, 0x242ef730, 0xb95e12a0, 0x5cfaa26d, 0x79e507c6,
+    0x1e9dc9e8, 0x3c3fa8bc, 0x2103de81, 0x69649174, 0x34d5b8ae, 0x2b40f287, 0x77825679, 0xdf5f62b5,
+    0x8a4ced69, 0x9a330ce4, 0x09a2ad87, 0x9d7e578d, 0x31991ac6, 0x9a8df520, 0xe8724721, 0xff7674a0,
+    0x3403a057, 0x9de24d86, 0x1f5c6fcc, 0x15e2da64, 0x80e0fe9f, 0xd2d9c884, 0xb1710959, 0x688cc737,
+    0x7b226ed8, 0xf0ffb85d, 0x934d90a5, 0x9baf7341, 0x5c2cb4c4, 0x23fdb010, 0xb0d1c58c, 0xd79d92f8,
+    0x886a6dc3, 0x7ac0531c, 0xd50b06c4, 0xc50cc038, 0x0b27b092, 0xa095dbff, 0x7089848d, 0x972b2427,
+    0x0c87e46a, 0x18aacbec, 0xb665f1f3, 0x6cd84733, 0x002385cc, 0x6651db59, 0xfbf4adb9, 0x6c3c7386,
+    0xc0ecdc1c, 0x6be932d0, 0xcc45eaa5, 0x8d392c51, 0x624fe11f, 0xfaead791, 0xfa015dd4, 0x9d7f5258,
+    0xd423e95d, 0xc45fd440, 0x5398681f, 0x7cf0d4dc, 0xabf49a32, 0xc69ff168, 0x36db2b30, 0x4df6b064,
+    0xda42544e, 0x2fdcab4d, 0xe85bd662, 0x8b03e0fd, 0x1391e32c, 0xf90a5188, 0x1788cd2c, 0x1aeadef6,
+    0x3741c01c, 0x7536aa56, 0xd510343e, 0x54ff93a7, 0x1997c0f9, 0x32fdbc18, 0x8fc289da, 0x2ba695ed,
+    0x2fe9dd5b, 0x5f33480c, 0xf0db0add, 0xabd62c26, 0x1c6ec2be, 0x8883ff2c, 0x2915e54a, 0xa5c6c5b6,
+    0x74438bca, 0xe7fb8ac4, 0x6bd6a672, 0x55c51a92, 0x2ecf7db9, 0xe1f58c13, 0xb0a0d07c, 0x17a291c3,
+    0xbcecfbc1, 0x885d6035, 0xce9c00e2, 0x26f8c939, 0xa67b78a5, 0x08b0038c, 0x1d4ea6fd, 0x2d44d25d,
+    0x76e742ba, 0xb80d3af2, 0x17afe8a5, 0x391f5997, 0x7aeed7dd, 0xf90afc97, 0x4c869b14, 0xd070828c,
+    0x2b4def93, 0xe433b012, 0x65c1e814, 0x3afa921f, 0xae41e273, 0xef9b4be1, 0xf4942f8e, 0x6368d417,
+    0x2e6f05d5, 0xe45ac517, 0x8ec7d526, 0xbf7cb0a5, 0x170e7cd2, 0x5a1256c2, 0xa6f5757e, 0x042420cf,
+    0xfb45cdee, 0x959e45f6, 0x18028749, 0xa6dfa27b, 0xfa9fc6ad, 0xbad246a3, 0xa190fe15, 0x27c0f831,
+    0xf58aac4a, 0xa7759947, 0xb1f0c15e, 0x7a3410b7, 0x9bd34b3a, 0x316e8adc, 0xe65caa92, 0x48f2b2ea,
+    0x65723679, 0xef04dcaf, 0xce4ed0ad, 0x3f5eefae, 0x327018e9, 0x6114dc7a, 0x25ddc95e, 0x479b291a,
+    0xbee1e1fc, 0x132f974d, 0xe304bc30, 0xbfb7792f, 0x87ce9f7d, 0x71182810, 0xcf1498bc, 0xc9086909,
+    0x7c9e9770, 0x256dfc42, 0x97f299d0, 0x0a6dc5a9, 0x03aa7865, 0x11a9413f, 0x52bc8e6c, 0x2c4d5295,
+    0x7c99ffcd, 0x3450f95b, 0xfea46570, 0xaeb453da, 0x519e9571, 0xcf3c5d9a, 0xc752bc7d, 0x15ee9669,
+    0x210603b3, 0x47b5bcfc, 0x03619768, 0x158846b5, 0x96edd14f, 0x8f04d764, 0xac836e82, 0x27d4d4c9,
+    0x56529430, 0x87179753, 0x46a57d70, 0x95b8f0d8, 0xd2ab2366, 0x56df05de, 0x1331b886, 0x4e218109,
+    0x5f292983, 0x22169c23, 0xe3d04f33, 0x0b32d685, 0x1fb881fe, 0x1f5aa5a5, 0x1effbb13, 0x2ae129aa,
+    0x0a9108a1, 0x652efcb4, 0x36c3c137, 0x34eff6f6, 0xd60e8d3d, 0xb71bdb2d, 0x97d8e26c, 0xf4166eab,
+    0xd3baec54, 0x9cfb81b3, 0xb35ce27a, 0x06a37e57, 0xaafa1746, 0x9ee0b15c, 0x78051582, 0x49f781db,
+    0x0ada0427, 0x37874185, 0x0837d29f, 0x654af2da, 0x6ff5ed82, 0x49cd9c63, 0x36838c1f, 0xd42b3464,
+    0xeaddb92b, 0x039a481a, 0x016d57e5, 0xe2d784f4, 0x803f1091, 0x290c401d, 0x8f407ab5, 0x8b51bcb6,
+    0x1ab23412, 0xf174329d, 0x1d12e71b, 0xf81946df, 0xc03c88b8, 0x24f68128, 0xcc03efda, 0x69c58b44,
+    0x03874956, 0x444408f8, 0x913d7a38, 0x3e997bda, 0x9f161bcd, 0xf3eca8b2, 0xccb6abfd, 0x1cd68112,
+    0x1798c793, 0x00306a89, 0x0f8cb258, 0x4edbf815, 0xcf2dd8b1, 0x151f0f91, 0x11c9f034, 0xb5d1617a,
+    0x41e9ea29, 0xab426173, 0x3256e1eb, 0xdb2ec5ca, 0xdfa665af, 0x927dd15b, 0x0dba73b7, 0x6d92c5ad,
+    0xf4869629, 0xf1b88181, 0x02757b81, 0x1cc8e670, 0x6f1eed0d, 0xf337ad9f, 0x308dd193, 0x9141e8ef,
+    0xc0311e10, 0xb63e18bd, 0x14f10c69, 0x28d59d71, 0xace9f7dc, 0x47702350, 0xa3cf09c9, 0x99de6f50,
+    0xf4116a7e, 0x2eed7ed5, 0xf7b504f9, 0x6e908764, 0x3b3ffe27, 0xff92fc55, 0xe2eee435, 0xc91cec66,
+    0x08f4afd8, 0xf8643ca1, 0x4b1b35c0, 0xca865b19, 0x8b72da7e, 0x0ea0081e, 0x2fd39497, 0xf75da481,
+    0x64264626, 0xa7ceedfb, 0xa302f276, 0x8197db9a, 0x3a07074d, 0x10151f13, 0x58e42238, 0x60f91a35,
+    0x52665753, 0xc1dc5210, 0xc4f7c425, 0xb45e4704, 0x5b9fbab1, 0xcb61a11b, 0x68acd9fc, 0x38ff2aa7,
+    0xd7655ef0, 0x1a4c0d86, 0x4dfadf46, 0x736925fc, 0xbd50f38a, 0x54e1fb0c, 0xaa75f273, 0xb5cc6620,
+    0xfa6d1aa8, 0xf254fdef, 0xe11c433c, 0x5f68673e, 0x676a2981, 0x841583b9, 0x342505e5, 0x8913a13e,
+    0xad2b0fd2, 0xe3f0190d, 0x2b7075fd, 0x530f9797, 0xac960079, 0x96164156, 0xfc772908, 0x3c3fda2e,
+    0x3bb0655c, 0x8d778848, 0x019bc728, 0x6e6db38a, 0xf1a0a94f, 0x181d2368, 0xbcf9107c, 0xbc5153d8,
+    0x59954c6c, 0xbc78e048, 0xab57a6e7, 0x857eb786, 0x5de75634, 0xec5346f8, 0x7f4e0e85, 0x5945cf45,
+    0xc767c5ca, 0x155432e8, 0x8f88d8fe, 0x4aa88d09, 0xe3c546f7, 0x4bc29e3d, 0x4ef849ae, 0x842f9edf,
+    0x2957e888, 0x4184b61c, 0xb4a478da, 0xaba62315, 0x8098a725, 0xc47ab9f8, 0xcb3a9c57, 0xf81e73e4,
+    0x35f18cb7, 0x763d4d7f, 0x5d7601e6, 0xd4deff1c, 0x9442cff6, 0x708a943d, 0x5ec362f9, 0x51956aeb,
+    0x270e8506, 0x7958bfb9, 0x68af2f4b, 0x55b0380c, 0x64c1aa52, 0x28ed78bd, 0xfbb3b717, 0x4e95b83a,
+    0xe20537d8, 0x49f63e19, 0x2939f336, 0x0aa7641e, 0x45560ef4, 0x4d1a7f80, 0xd8e0d34a, 0x717da497,
+    0x2bfba968, 0x2129d324, 0x72835f96, 0x006a0d57, 0xe238296c, 0x2214fb8d, 0xbd066669, 0x252211b9,
+    0x165e7422, 0x32cccda8, 0xfffeba32, 0x6b719280, 0xac52f164, 0xdf9a94a6, 0xae4ebb98, 0xefec68f1,
+    0x80158f3e, 0xc9873d27, 0x4d30354f, 0x256bbdbe, 0xa2ea4ef3, 0x6d4a5b76, 0xced6eada, 0x359fd1c6,
+    0x0914b0ca, 0x267ef11a, 0xbe4b7799, 0x41c365ef, 0xec9023cf, 0x9a7af69b, 0xaab56515, 0xae808597,
+    0x350b713a, 0xccedba0c, 0x190afeed, 0x1765a27c, 0x9ad989c4, 0x7b3a0ad7, 0x3e94188e, 0x192a7279,
+    0x1c310912, 0xd51477fa, 0x736a7398, 0x436497cc, 0x288f79ed, 0xcd4e3e5b, 0xbf034b07, 0x1fd87536,
+    0xdc70650f, 0xe7c6c4af, 0x9313c96e, 0xccc262e9, 0xa7bf6581, 0x9a48fa72, 0x7f679320, 0xe890eab2,
+    0x750fa1f4, 0x8293cf8b, 0xa2c85398, 0x769b8507, 0x364d9f37, 0x28994b2a, 0x67bef7fd, 0x8017fbff,
+    0xf15db816, 0xe4ce0466, 0x75421287, 0x1204466c, 0xf1bbadc3, 0x4e1138d0, 0x45d9edbc, 0x636d6580,
+    0x1758f3ab, 0xc6a6a664, 0xdbe75bad, 0x9cabecf3, 0xb7603ad1, 0xcc9f2425, 0xa71b77eb, 0x4ad80fa5,
+    0xc4daea75, 0x720a6bd9, 0xf986db33, 0x125c5dc3, 0x8672a3da, 0x317e7628, 0xca3bf4a0, 0xec1b1f08,
+    0x092262f1, 0x462b433c, 0xcc23a1e9, 0x8d999622, 0x4bde75b0, 0xf717e3d7, 0xeb1baeec, 0xf84a4a93,
+    0x065dd895, 0x9bc2cf98, 0x40801db8, 0xcb2a9f3d, 0x9b26d6f5, 0x6f812f6f, 0x27ed9f22, 0x2ec7ff50,
+    0xcf343fbf, 0x2eb09345, 0x226d517a, 0x0e9ea115, 0xc27107a5, 0x36549473, 0xb16debf7, 0x670e97b1,
+    0xc6f48180, 0x23a2e9e9, 0x464e3631, 0x4178f7f2, 0x04eb5fa1, 0xe483f411, 0xfa889898, 0xe517aa6f,
+    0x486dfc33, 0x7bb6d550, 0x22844ac8, 0x36967e14, 0x0777bb27, 0x544e753e, 0xa920b1c6, 0x2fb62feb,
+    0xfcc8eb77, 0xadc00a0c, 0xaadf8483, 0xf032b49b, 0x61edfaf5, 0x30d25cc1, 0xefbb31a7, 0x1d1bd474,
+    0x6dfc5255, 0x692fb7f8, 0x89bc90ec, 0x79c778d9, 0xe80a4b1c, 0xee5feda2, 0x016aed83, 0xb06c9d4a,
+    0xd93ea623, 0x5a65d839, 0x2b54bf94, 0x54cd9782, 0x2898cc2c, 0x0edbf362, 0xa4916643, 0x85830f6b,
+    0x1978ee63, 0x19657659, 0xf7411b48, 0x4d9870d0, 0x599d082e, 0xf42df0ef, 0xf4df5096, 0x90c4f94f,
+    0xb2d005ba, 0x605a693e, 0xe31e3881, 0xebd33a4e, 0x96c14dc8, 0x92a79803, 0x6fcc39d3, 0x0c8d9921,
+    0x63fda4c9, 0xbbc72133, 0x1f68d2fe, 0x6f111b2d, 0x46deb1db, 0x6a4c5933, 0xc571b3e5, 0x74b7ffbf,
+    0x426f3759, 0x67482a7e, 0x46f962ee, 0x4d9bce5e, 0x7b368f88, 0xad80f823, 0xa85e2321, 0xb4450a26,
+    0xb14bc96a, 0xbd67aabe, 0xc4e539c8, 0x06050c31, 0x87632f38, 0x7c0da8ee, 0xdca7b7bc, 0x8e41390b,
+    0xd7fd26ad, 0xf3ca190f, 0xabf81541, 0x84cf0a1b, 0xeedc80dd, 0xdd810f55, 0x0ef7cb56, 0x16c584dd,
+    0x8335a71c, 0x3e6cc754, 0x6c7b50bb, 0xdf496ea0, 0x452e64af, 0x74462da0, 0x9fdc4da0, 0x880957a6,
+    0x117962af, 0xfd651fc5, 0x98ba0f87, 0xc6e06a1c, 0x4101d59c, 0xe1effabe, 0xdea5aadd, 0xe8add849,
+    0x325c530c, 0x8084b51b, 0xa07592e8, 0xea9a0bd3, 0x9325280d, 0x98587e2b, 0x2348b91d, 0xf634f286,
+    0x58e5988f, 0xe9d7ee71, 0x4bc967cd, 0xb9f16240, 0x3547c616, 0xbaba8453, 0xfc3fe8d8, 0x0d11655f,
+    0xcc188d85, 0xac71b476, 0x5de1ab89, 0xae45235c, 0x63f7caf3, 0xffc77699, 0xe01e4aa8, 0x87d4d26d,
+    0xcd711c66, 0x389c9669, 0x9fec6f23, 0x31039580, 0x1248a869, 0x91d14546, 0x616735ec, 0x3b4c6283,
+    0x952b04fb, 0x312b662c, 0x7fda7912, 0x6f722799, 0x28056db6, 0x3b7112ce, 0x7ceb3681, 0x3eb1cccc,
+    0x8eb3d596, 0x1262b0c7, 0x8dd48ae5, 0xf68bace8, 0x57af6971, 0x643734ca, 0x73c9bca6, 0x88475ca5,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000365375409332725729550921208179070754913983135744 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda6, 0x6cb62afe,
+    0x00000000,
+    0x8a0691ba, 0xc2c8d2a3, 0x6e175eb7, 0x05e01ba9, 0x4c6884dc, 0xe03a56da, 0x04d63c00, 0x61834f1b,
+    0xb19df3cb, 0x3166c232, 0xf7d945b9, 0x6cd072dc, 0x91c62ccb, 0x18bfa033, 0x7d523b09, 0x64f952c4,
+    0x06218856, 0xefa7deba, 0x5cc8d11b, 0x8c99accc, 0x14effb83, 0x2333197a, 0x9f5a80fd, 0xd4281359,
+    0x58c8c1eb, 0x5b76c203, 0xda66b00f, 0x7bb3db9e, 0xcc780dc2, 0xb51be0ae, 0x3d2b0eff, 0x6a1044c4,
+    0xfe89689b, 0x16d354d6, 0xa3e88916, 0xee649e5e, 0xb15cfdf7, 0x690ed524, 0xd5165ce4, 0x17c2c9c5,
+    0xecacd131, 0xe48e09ca, 0x4e5b66a8, 0x8bd3ab46, 0x56c09f00, 0x8026f518, 0x0da0f6a4, 0xe3c0c587,
+    0x1e1edfa2, 0xa30d9276, 0x74c90da0, 0x7ca99d7b, 0x04ae6b39, 0x19aaad74, 0x67913a08, 0x18a5589b,
+    0x748fff2f, 0x895d4fc5, 0x66331133, 0x1b4d24d3, 0x837c3abb, 0xc08f7b74, 0x78bad9cb, 0x33b9bd6f,
+    0x0b22587c, 0x4286c5c0, 0xfb30aeaf, 0xa49c0343, 0x5967d37f, 0x2fcb5813, 0x8a707d9f, 0xed04c156,
+    0xe28e3ba0, 0xfeb7bbeb, 0x0a738636, 0x324fe0be, 0x51a0e2f2, 0x778e3bb1, 0x68c111d7, 0x0719b179,
+    0x6b19888d, 0x47d5d450, 0x341c14bc, 0x3dcebdd0, 0x2a0cf533, 0xfc28ecdb, 0x21aa3ad7, 0x3d8b0d4e,
+    0xe078dabc, 0xd4268a76, 0xf2c5a369, 0x412e2692, 0x59c71e30, 0xd401c84d, 0x4e2ff7dd, 0x7e886284,
+    0x41413d64, 0x583edc6f, 0x603eea8f, 0x00eee90e, 0xd190a557, 0xb19ed410, 0xb7923f18, 0x7bcfb38d,
+    0xf0aac0a5, 0x3b48b156, 0x09dd7e4d, 0x3d3c8a4e, 0x4d337bec, 0x4b97cd9d, 0x135ac4c0, 0xfce5bf73,
+    0x86869a34, 0x7ee22b12, 0xc39cccf8, 0xaa62356e, 0xce3807be, 0xd8879c02, 0x9e45e6b8, 0x319d54b3,
+    0x38c15f9b, 0xfd142a7e, 0xb41f022e, 0x76769ed2, 0x758f06b8, 0x75ed6617, 0x57f9c474, 0x1c532374,
+    0x2c12634e, 0xad1990bc, 0xbec2c895, 0x0fbee58c, 0x181fd62f, 0x68c214f9, 0xe62b42db, 0x73a331b0,
+    0xe4a68945, 0xbb12231d, 0xc3690bb4, 0x9b8519a0, 0x35f81ed4, 0x1c475aaf, 0x6df14ee5, 0xc2a1b682,
+    0x42875c4f, 0xf03d9cbd, 0xe1763ec3, 0xabb92648, 0x1ede0c6e, 0x8f1b5a37, 0xa0f875f3, 0x2190929d,
+    0xb4e02e3b, 0x56b9309c, 0xaa62c175, 0x6eae6236, 0x10eb170f, 0x492bcf55, 0x0a28765d, 0x7eb1cbae,
+    0x16deb62e, 0x7bf0b29a, 0x5b712898, 0x5f3b9223, 0xe7a90d26, 0xc40451c7, 0xadd4afeb, 0xd1900746,
+    0x553d8c93, 0x38ef5089, 0xf8b676b4, 0xddc24a57, 0x093d615c, 0xdf8b78bc, 0xf1ad603e, 0xec1d1852,
+    0xd4d89ad2, 0x384daf21, 0xd129c4fd, 0x0e296af6, 0xe396cc9a, 0x687d92bb, 0x85e8acfe, 0x5a6880f5,
+    0x7130e8c3, 0x09a93757, 0x26f805c1, 0x1acda3fd, 0x26a17da3, 0x65bf43ea, 0x1ea46f53, 0x13699770,
+    0x36435fe9, 0x81c27806, 0x80b551d3, 0x4c5fafb2, 0x16547d5e, 0xed29fd5b, 0x56685593, 0x76734ca8,
+    0x1891555e, 0x101a73f2, 0xe4cd3f4f, 0x1a833b06, 0x781dd1a8, 0xce0f0967, 0xb05467a2, 0x04893442,
+    0x55476faf, 0x172d8a89, 0x607d3872, 0x88bc539a, 0x6a9091a9, 0xb3caaf89, 0xd801ca44, 0x0fe7ea07,
+    0x1019a5df, 0x1f99b02a, 0xc6f13ac3, 0xc24ca687, 0x5ab1e4d3, 0xb61bf2d6, 0x255494db, 0x37957c65,
+    0x221ac4bf, 0xa102d38f, 0xad3a36be, 0x40c10f47, 0xfdc1b547, 0xd8ecd56d, 0xe5e267d8, 0xe4f9f256,
+    0x938f870f, 0xa92bbf4c, 0xc6f478db, 0x46b7cb2f, 0xb79b452a, 0x59aa95d6, 0x199fd4e2, 0xf5e2322a,
+    0x5e46f441, 0x7ac243c9, 0xc26ae097, 0x01f1df64, 0x1ee06fda, 0x9f44cfb0, 0x5a458acf, 0x07e3e405,
+    0x837cbea8, 0xa8a9cdf4, 0xf285fe9d, 0x22fb28a0, 0x6e27fa89, 0x2a05e78a, 0xdd340c8a, 0x2b3b1668,
+    0x0e466842, 0xc2aa0151, 0xf891fe26, 0x403743e8, 0x29cb3bf8, 0xe5cde751, 0xae762429, 0x4f71dd03,
+    0xfa0d0b4c, 0xec875461, 0x176f1c95, 0x863b1f09, 0x3f647020, 0x0f271733, 0x67847275, 0xf9e1a7f5,
+    0x7dd69381, 0xe9ff8294, 0x0cb7e6c0, 0x5acd58bd, 0xfc52a91f, 0x78466ca0, 0x680c8164, 0x55f1cbfd,
+    0x6b2a9c5e, 0xd97a2024, 0x0f86b46e, 0x1325b33a, 0xbd4fe1b0, 0x3b52303f, 0x6c3097e7, 0x9d4e6d06,
+    0xc1baeff4, 0xf0a5f644, 0xdafc82d2, 0xbe7649f9, 0xe8e65b44, 0x9d108c2e, 0xf291afb2, 0x4d6fde63,
+    0x165e71ec, 0x75695325, 0xab7056cd, 0xfb14690d, 0xe2c913c6, 0xcc9fbb09, 0x6bf9e99c, 0xba2b1c52,
+    0xc747e809, 0xfa46430a, 0x4384913c, 0x344f79cc, 0x79c2c5ae, 0x5be4ab80, 0x4140ea4e, 0x302566e1,
+    0xa8fc7e84, 0xbf54ecbe, 0xbea29c9a, 0x72d776af, 0x926534f4, 0xc67d17bd, 0x72730639, 0xed5906e1,
+    0x366136a5, 0xab4391f4, 0xc32e7374, 0xcad525ef, 0xaaf5870e, 0x5fbcb26d, 0x3a162ed8, 0xa1c3a0af,
+    0xdc81e14f, 0xe667cd9c, 0xb2f4e68d, 0x65cc67ca, 0x828c4abe, 0x0a16860e, 0x6d4d6556, 0xe58362fc,
+    0x997a20e5, 0xb250209a, 0x031def2a, 0x8872894f, 0x1df4565b, 0x23156045, 0xecdd9587, 0xa669f950,
+    0x14120443, 0xd1830329, 0x0f7ae0d8, 0x44a1a6f2, 0x4433f5fe, 0x79f259b0, 0xc2841a7d, 0xd2ada285,
+    0xfdfcb992, 0xac165bed, 0x2266b1e8, 0xfb1e41e6, 0x4f107e89, 0x6c40c411, 0x224cfe81, 0x7214da74,
+    0xfeee6fae, 0xd115408d, 0xa1fc2477, 0xfb9b2069, 0xa63ec963, 0xc2a1e186, 0xc6608775, 0xadb8eadf,
+    0xf5028f1e, 0x975a426d, 0x2847ee13, 0x52179d13, 0x78f814cd, 0x072207be, 0x6860abdc, 0x061a83d1,
+    0x37e349d1, 0x77e5c1ed, 0x627cdefa, 0xc4d2cf66, 0x28dff039, 0x1be3ac31, 0xc6663193, 0x3d704c38,
+    0x98714b08, 0x0b6498cb, 0xf90bfb09, 0x4fadcac7, 0x2f7783c3, 0x17819485, 0x12c9f867, 0x6b725787,
+    0x099f789a, 0x8da4841f, 0xe81f4060, 0xfe91287d, 0xa550ff3c, 0xf1c1513a, 0x28b84013, 0x783dbf52,
+    0x3f63d67b, 0x77516762, 0xe0afe437, 0xd7123777, 0xe92709b9, 0x99f81d30, 0x416535b1, 0x4205a361,
+    0x3d2ecacc, 0xade76e4a, 0x233dcab7, 0x7d604a19, 0x39055e25, 0x0cb2062c, 0x477475bb, 0x26cfddd0,
+    0xf61c0c2d, 0x79084e03, 0xca220aa5, 0xabd67106, 0x638ab66e, 0xc2d9a7e5, 0xf81b8ae8, 0x7bbed18a,
+    0xbcea2d9b, 0xf47f2f7f, 0x219b324c, 0x4a4e3c02, 0xbaa91164, 0x54ba9595, 0x9765509c, 0xf6099dba,
+    0x26b411fb, 0x43a83423, 0xd0064bcb, 0x961dcd45, 0xd8b236ab, 0xe9e4c8d3, 0x4574677f, 0xc3b37789,
+    0x0e784b83, 0x86b646b5, 0xe50e5e22, 0x5e244bc0, 0xb05029c1, 0x35a04cf5, 0xe84cd921, 0x5faeeb7f,
+    0xc1b338b7, 0x192aabd7, 0x58289f20, 0x65a1439f, 0x52ffde17, 0xa8933f11, 0x6f493ab0, 0x32e19fab,
+    0xb0009095, 0xb8f34443, 0xcf5611ca, 0xb7258699, 0xbca9eb85, 0x24da1568, 0xefd8f1e1, 0x5e4e3e2a,
+    0x39d2dfae, 0xb3cc9b13, 0x72b68b4b, 0x05dd3413, 0x1fce23d7, 0xe9f108f0, 0xf1f0040f, 0xd220d8bb,
+    0xb876d948, 0x8af2f6f2, 0x4d3d824d, 0x50edec73, 0xc16d830a, 0x54aa0e98, 0xd6ae14b1, 0xcf922484,
+    0xd50ef621, 0xd4750e4d, 0x834d4317, 0x2d8b5fc8, 0x20d841a7, 0xa8f13a9f, 0x352fa527, 0xbf6a8373,
+    0xac43c874, 0xda08b545, 0x07185775, 0xfdb42b95, 0x5bfe9565, 0x5dc2685b, 0xf81a30a4, 0xddf61e5c,
+    0xbb745d26, 0x57494f5d, 0x686d8fd4, 0x2a25f6d5, 0x4cdac573, 0x18c17bf0, 0x8e4a6137, 0x79bea040,
+    0x0ed43177, 0x6d7240af, 0x312ffa3f, 0x198ca61f, 0xcdae90b1, 0xc080cbdf, 0x45d1f41b, 0x846cb10e,
+    0xff6172c3, 0xa4a3f50b, 0x61439641, 0xe3de6f64, 0x856aa75a, 0x2aa134ee, 0xf00269f6, 0x2bc096ae,
+    0x658b8b15, 0xa026e06a, 0x1fd8a46d, 0x5940588e, 0x09e74905, 0xc6acb366, 0x608ceb72, 0x2d41258a,
+    0x4d53e754, 0xa4e067e0, 0xb6918b54, 0x100aa237, 0x191f2c81, 0x79be21da, 0x37838550, 0x0818e853,
+    0x38eb5c5e, 0x195adb19, 0xdf0e40b4, 0x214ffc1a, 0x860ff909, 0x4b62948d, 0xb3ab4507, 0xb9769cb1,
+    0x24a00380, 0xbe34a9f0, 0x5c51c460, 0x6c7095c1, 0x7a9860a8, 0x02cf8f86, 0x1802da51, 0x959d6e5b,
+    0xc0f71486, 0x143d15a9, 0xdf7cb4d6, 0x16dae2c6, 0x79bfe10e, 0x64af8a15, 0x19f089d2, 0xa608473f,
+    0xcf57f271, 0x3862dc4e, 0xf7834bf3, 0x958b4f0b, 0x32fa40fe, 0xc6a66829, 0x3abdf06a, 0xbe3f5f18,
+    0xdda2e55a, 0x7abda305, 0xf7cd732f, 0x733a6e5f, 0x80a79f1d, 0x1653551e, 0x15ed59ce, 0x395ee6bc,
+    0x45d62b8d, 0x76733d52, 0x4a347cc5, 0x15efb371, 0x0fa538ed, 0x499ee2c0, 0x9b016ddc, 0xdbe88f91,
+    0xa25d12aa, 0x1fb50471, 0xf4a2c106, 0x30390e0c, 0xa8cb1fc7, 0xb3e3d8e3, 0xcf6588b8, 0x12861649,
+    0x31b3247b, 0x92cb543e, 0xf8d66144, 0xa08796f5, 0x7fa75dad, 0x9a407fbb, 0xb69a4283, 0x59d62683,
+    0x4a605d5c, 0x141b4e47, 0x3e6275b6, 0xbf667ab9, 0xb92a00f8, 0x9aa62cd6, 0xc4a5ab6c, 0xeea1844b,
+    0x00edded0, 0x8dfcd34f, 0xe98214dc, 0x44b24f02, 0xe7905f58, 0xe0d3813a, 0x8b746505, 0xee3f8ed8,
+    0x55f7b96f, 0xd95f64a2, 0x004464f6, 0x906c53c0, 0xc135e29c, 0x11705bc8, 0x819ec6c9, 0x686cbb59,
+    0xcfd1406e, 0x08025e7b, 0x37264b9d, 0x2650893c, 0x398851d4, 0x61b2896e, 0x11780f52, 0x1857a85b,
+    0x9c0791ab, 0x3f541a2a, 0xead95490, 0x7e86d465, 0xe640ee8e, 0x1ef71ef5, 0x3dc70671, 0x4d49e977,
+    0x7ebf89ce, 0x1bc9e1b8, 0x817a38a2, 0xc4b43c94, 0x9ce692dc, 0xac719260, 0xec9b8765, 0x17d6e4e5,
+    0x182075da, 0x7801c253, 0x8e558130, 0x6e9d4390, 0xed2e91e4, 0x8bf41629, 0xd9111c67, 0x3bf9b1f9,
+    0xbc216ee5, 0x1c0cee7b, 0x8d596111, 0xcd1d4272, 0xbd6e140a, 0xe582b7a5, 0xfaf5a2f6, 0x5de2a03d,
+    0x15263254, 0x60c54ead, 0x621dd9fb, 0x4952f08a, 0xd38b3e22, 0xbf3eb8b4, 0x36706f53, 0xf682d433,
+    0x5f13b484, 0xda6eb849, 0xc140e6c6, 0x9c9e54a3, 0xdd2674a8, 0x56f7dff5, 0xd6e7aaad, 0x03913adc,
+    0x206571c0, 0x70e6bf21, 0xd01d6777, 0x66e34f6a, 0x1553c12c, 0x805f6e36, 0x363cc699, 0xe55c2abc,
+    0x93f3aa9e, 0x4c1a7595, 0x734eb83d, 0x72392c9f, 0xd043e427, 0xcda7b990, 0xfbfd1595, 0x1b055bee,
+    0xa18a0d9b, 0xf4a105c7, 0x1c2a4ff5, 0x05cad119, 0xc98cf232, 0x35ddcda9, 0x622677ce, 0x31c97bc8,
+    0x6c7eaa19, 0x1ab0b33e, 0xd1724f67, 0x0fd0dbfc, 0x7137cc7d, 0xe80e79a0, 0x6862fa5d, 0xc8a953fd,
+    0x16e32c34, 0xd5bba4c1, 0x50ee5d8e, 0xd72a3b0b, 0xc5b7ec58, 0x60a18019, 0xb269b01b, 0x81d33681,
+    0x15f57fa2, 0x7f269f5b, 0x3169b687, 0x990ca5ec, 0x5fe3e3c0, 0xb179368c, 0x15b3b493, 0x174961fb,
+    0x82ef7883, 0x2a307917, 0x13349bce, 0xf9fb690f, 0x4c4d432b, 0x0cc06ba5, 0xe1c0ada9, 0x62a0af52,
+    0xc36e971c, 0xd56ee308, 0xadd1ca77, 0x4b47db52, 0x5334e8d8, 0x4457a566, 0xe65b8831, 0x2b64c79f,
+    0x45b76595, 0x27a5ece1, 0xa861afed, 0x49ea4c0a, 0x25927afc, 0xc3638995, 0xf344a490, 0x07f4243f,
+    0x2fa54ab8, 0xc55f0868, 0xad47d171, 0xf8c6960e, 0x301bb30f, 0x9a2833eb, 0x423d2d7a, 0x7f493b60,
+    0xcda28c3b, 0x1b8a6363, 0x57dd283c, 0x3a0a0009, 0x6b42c8f7, 0xa36e6c91, 0x3ae6dd0f, 0xd9ba7b86,
+    0xfcda6105, 0xc60d4018, 0x17e78f2d, 0x2ba0b750, 0xafb6d2bd, 0x24428efe, 0xf9af4683, 0x6c6b06fe,
+    0x9bae8bb1, 0x97c19789, 0x8e04f11d, 0x3e3eb264, 0x1d89d7b1, 0xee2895aa, 0x10a32419, 0xe9354ff9,
+    0xdcbda86b, 0x7722f649, 0x1252ed14, 0xf35248b4, 0x502c3c3d, 0xbcfd607d, 0x6bf4a6f4, 0x42b2367c,
+    0x5af74ceb, 0x57bbb90c, 0xaf7062c8, 0xfa496051, 0x159ef950, 0x38d2573e, 0xdf545956, 0x119b5ba3,
+    0xe6dff7e3, 0x46fdc297, 0xeb998c1a, 0xa8c712c6, 0xcf515409, 0x93fc2987, 0x6a8cb157, 0x9d2fe022,
+    0x215155bf, 0xfbb5ac8a, 0xe6859a73, 0xb5829ad6, 0x7896a778, 0x9c7b7010, 0xcff60814, 0xb2072cfe,
+    0xf0dfb395, 0xbca2f3c8, 0x67e4ee17, 0x4696d6a8, 0x37a6f2fe, 0x8555aaf5, 0x7d3c5498, 0x9895cb68,
+    0xfc7108b7, 0x4676ffa8, 0x33558550, 0x5c2b7401, 0xf2a7b707, 0x8ddf337a, 0xa2df6c14, 0x9d522250,
+    0x4bd675d6, 0x4f78babb, 0x0cdaa9b0, 0x5164cf32, 0xa01e0a64, 0x95a37d1e, 0xca423b5a, 0xf5b52153,
+    0x068cff53, 0x404f17f4, 0xf9d405cb, 0xcd33c0fb, 0x9821de54, 0x8163613e, 0xc05184a2, 0x7e791e4c,
+    0x860c4313, 0x5e606afb, 0xf0529477, 0x678212ab, 0xb6f9b3d4, 0x6b7a9749, 0x0164a771, 0x8775216c,
+    0xed748743, 0xa983f46f, 0x408fdb9b, 0x44439be2, 0xe056062a, 0xfe819941, 0x5eccee26, 0x01aa5a5b,
+    0xd33f0dd9, 0x66fa79ae, 0x050bc05b, 0x8f28d301, 0x29dbe052, 0x3ee463b1, 0x5e888c51, 0x9423b1a8,
+    0xdc63c2f3, 0xcbd80946, 0x46c84eb0, 0x5e8a3dbd, 0x63fc9431, 0xd1438000, 0xf0a24933, 0x259a7566,
+    0x70454a41, 0x79b88552, 0xcfe2d677, 0x36b868ae, 0x4b211c66, 0x51e6a0a7, 0x8a466be7, 0xb65dad17,
+    0xb8f14b8c, 0x1df1e306, 0x82112e7b, 0xecabf5ed, 0xbd36baf2, 0xadd5ac44, 0x5c81c3cd, 0xce1cc39b,
+    0xd03d5278, 0xf7ab4e7e, 0xfd6d1111, 0x886dd81d, 0x6df16a24, 0x8e4cf722, 0x63f1742a, 0x622b7a96,
+    0x5e47fc65, 0xa659ed86, 0x40ca5330, 0xd2d5819d, 0xa290ed75, 0x16d2faf1, 0xe8462b96, 0x1f440372,
+    0x4a05832b, 0xeae8b0db, 0xcf87a8db, 0xf85f6a17, 0xa2367162, 0x03a5d467, 0x46d9a222, 0xd9697ae7,
+    0x24ae2a0d, 0xac9e82bc, 0xbf6879ed, 0xfa2c938e, 0x92f5daad, 0x25235881, 0xd695126e, 0x8e207781,
+    0xdabd1666, 0x299d487a, 0x166f17b1, 0x94230aa9, 0xa986724a, 0x697aa746, 0x23399f58, 0x98444ce4,
+    0xb1347390, 0xc0aadae2, 0xcf4c367d, 0x2962466c, 0xd36ecea1, 0x4fa8da79, 0xda11b7d7, 0xb7189b18,
+    0x2002c655, 0x635f20e9, 0xb4f7165a, 0xc1998134, 0x926bc339, 0x0a09196b, 0x83571cbf, 0xdb36cce9,
+    0x7c496fa7, 0xf8e3c0dc, 0xddef91fa, 0xc7718baa, 0xb16698d0, 0x8a6ef41c, 0xdee51b00, 0x0a69cf39,
+    0xdda648e0, 0x39663af3, 0x9348522e, 0x691e3213, 0x2d0bc6da, 0x7464feeb, 0x59b5ae19, 0x9407fdf3,
+    0xe113c478, 0x8468c432, 0x4f4769d8, 0xd18d9de2, 0x1e0f4d51, 0x58544cad, 0x81dab5ba, 0x09fe7572,
+    0x96e47d10, 0x0985bb42, 0x09ebc45b, 0x1b1ffca8, 0x5b189886, 0xbbe8f7a1, 0x59a7f310, 0x9a724b9f,
+    0x410f228f, 0x0648093c, 0x7095fb31, 0xd3ddcbb7, 0x78497dc5, 0x4d345ab1, 0xabd0ac11, 0xccc575b1,
+    0xb4cb177b, 0x7caa5f9a, 0x35f6280e, 0x83017349, 0x8e038556, 0x519ffb1c, 0x8455c135, 0xbc4fbd67,
+    0xcad75e3a, 0x36f53d18, 0x36e56b6a, 0x04348a05, 0x8ac44be8, 0x847df79c, 0x87ed72f6, 0x1380fd4e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000182687704666362864775460604089535377456991567872 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d3, 0x365b157e,
+    0x00000000,
+    0xbbf99421, 0xb873adc9, 0x9adc3637, 0xdb102987, 0xa4a06b55, 0xf402b97b, 0x9760d86e, 0x99c53b12,
+    0x3dd42b09, 0xf9c0e012, 0x42113ee6, 0x9c76e50d, 0x5c762094, 0xad755a77, 0xc872ec9c, 0x7bc1a488,
+    0x2cbc0890, 0x572cb936, 0x63a8a36e, 0xa826f410, 0x045481e7, 0xb89c635b, 0x001b5b8b, 0x8f512c7d,
+    0xea78bf2b, 0x7b951926, 0xb212267e, 0xdcef10c1, 0x125354b2, 0x5b887869, 0x6a71e29e, 0xcc72a4f1,
+    0x9701ead8, 0x1d908762, 0xb1e98041, 0xc4c3aba9, 0x3e2de850, 0x4db8664c, 0x1ccb7971, 0x2a1c6def,
+    0xcf4a451b, 0x171119ee, 0xf72527b0, 0x34c219e2, 0xf7df3413, 0xa9b3115c, 0x62bb9352, 0xb94a3d8c,
+    0x8772c20e, 0x0a39ebfd, 0x293dd000, 0x2255255a, 0x854c7060, 0x06f3063c, 0xc3c0a27b, 0x864ce9fd,
+    0x4f263ac0, 0x1dcc1a94, 0x4901f4cc, 0x824303df, 0xc1f51852, 0x777abf9c, 0xc68bfc7b, 0x100658a6,
+    0xdf87e5cf, 0x5791d561, 0x0b83a6ed, 0xa109cf9c, 0xf5e900fe, 0x1d967d40, 0xac442bdf, 0xc3135c34,
+    0x2ce9613c, 0xcd1c2b9e, 0x44bb6fa8, 0x9b4e13ce, 0x7b7a0ffc, 0x4f3a7c3e, 0x0ea24e5a, 0x25ec56f6,
+    0x00dc847e, 0xf2b7e6a6, 0xadb5d8ed, 0x41686852, 0xf3095740, 0x557e546a, 0xbe7d1092, 0xe148da23,
+    0x7093fd13, 0xebebfab1, 0xefcfedd7, 0x97dcab90, 0x3a707237, 0xdf7bddf3, 0x87337561, 0x2aad8827,
+    0xce004bef, 0x7ced3624, 0x31a9976a, 0xde61da14, 0x3ccc094d, 0xc7efdae0, 0x8d8c23eb, 0xcff0d8ef,
+    0x1c821714, 0x3c6006ce, 0x659225a9, 0xfc8f8ad4, 0x265e797f, 0x79ae6187, 0x421b7218, 0x311f8c0b,
+    0x9821160e, 0xfcaf6787, 0x183de94a, 0xfb0526d9, 0xa2d1e830, 0x8b6cfc75, 0x094b4d5d, 0x6cd6d86f,
+    0x08f661a0, 0x5a44cf12, 0x9984eb45, 0x15d22e35, 0xe3f70d19, 0xb3bf76c7, 0xcbe9e40d, 0xf2ef009d,
+    0xb667a943, 0x7ef30e6d, 0x12723d58, 0x671c0771, 0x132f71d8, 0x10de6c44, 0x5bcd038e, 0xe9dab6b0,
+    0x5a9b034d, 0x27c0422d, 0x572bed01, 0x3beb5aea, 0xbecd5baf, 0x3ede7cf1, 0xe1616224, 0x7447103a,
+    0x587d8719, 0xac17d623, 0xc06c79f1, 0x6e757d77, 0x3fecafb5, 0xd6e259e0, 0x0c59c27c, 0xecea6480,
+    0x2c6b1a13, 0x50388a91, 0x0971e0e9, 0x98b1791d, 0xe37c1fb7, 0x420f3aa1, 0x8379cc47, 0xbe5c444e,
+    0xceb40534, 0xd1ee71c9, 0x12c7eff7, 0x9fe5792f, 0x2253a193, 0xe0d6df09, 0x5cf71de5, 0x00d13ff4,
+    0x6f1c3f81, 0x0fb7f11a, 0x92026afd, 0xd456b890, 0x6705658f, 0x28ab1247, 0x58f36359, 0xb49ed734,
+    0x610dd4d1, 0x19c68361, 0x556c95f0, 0x5828e386, 0x448505a5, 0x27278e54, 0x5711080d, 0x449230e3,
+    0x7d6613be, 0x21cc38d1, 0xf3c52c5a, 0xe38a0653, 0x84dc45a0, 0x0611481e, 0x7774edde, 0x189b9b6c,
+    0x149eb616, 0xda78e727, 0xb63b3874, 0x9eb924f5, 0x3bf2cf56, 0xa374ad78, 0x424bd965, 0xc1bd561b,
+    0xc1bdb824, 0xb0c30565, 0xe0826f25, 0xe3682870, 0x4bce14c3, 0x59503b04, 0x6ee2e031, 0xe2e70ef5,
+    0xf65fbab9, 0x852360c2, 0xaa616df2, 0x82e711f4, 0xfdfd40e4, 0x148a08ba, 0x1e78150e, 0x8701d811,
+    0x5be770b9, 0x078642ab, 0x4848455e, 0x7928e833, 0x5dc8dd86, 0x9bb7f28b, 0xea60e7e7, 0x9ca31336,
+    0x61f50139, 0xac6b8a7a, 0x00d7b993, 0xa49b7b1b, 0x3681337e, 0x277a71ea, 0xbf8f5754, 0x348f6fb0,
+    0xcdbb69f6, 0xb2a20a09, 0x5d2a111b, 0x8ac0027f, 0xb2324cf8, 0x0e10ca1b, 0x81371f34, 0x9f3637a5,
+    0xf79593e7, 0xc052cc02, 0x7eaf0475, 0x6b3bf018, 0x7cfc895a, 0xbb822470, 0xa932926e, 0x05b0133e,
+    0xf12046dd, 0x391c8aa0, 0x7ba544aa, 0x8cb212cd, 0xd6aea2b7, 0x771fb9d0, 0xb8a94ed2, 0x8c15b37c,
+    0x2bf360ef, 0x3c7e9fe8, 0xa537464c, 0x2b47786f, 0x982bb67c, 0x22e84e40, 0xe822cd91, 0x28cf780c,
+    0xaa1221d5, 0xf7e8c132, 0x04fc1fef, 0x87404dd4, 0x1ff7a313, 0xaad23f01, 0xfd611ff4, 0x4ee06bf1,
+    0x8b7544d6, 0xc28d126d, 0x148a80b0, 0xf82fe3d6, 0xaf82778c, 0x5a638931, 0x99e555d3, 0x8bdcf04f,
+    0xd94b3868, 0x031058a7, 0xdf0c6216, 0x64442f81, 0x9c590c8b, 0xd2eeb989, 0x2f9f5ebe, 0xba566b7b,
+    0xe0b01f0b, 0xabebe458, 0x8fc41db6, 0xc46bef82, 0x7a9473a0, 0xe81fec0c, 0xd9576e72, 0x786b146a,
+    0x430e099b, 0xc88490f5, 0x98aed5ab, 0x0da76bf3, 0xe853ff24, 0x9cd9519f, 0x17883fbb, 0xba51d780,
+    0x9fe529e5, 0xd4d3f722, 0x7db730ab, 0xd07c0dd2, 0x326029aa, 0xbcdd4a4b, 0x31d14f08, 0x3de81588,
+    0x5d00866f, 0x58ef796d, 0x23832d43, 0x438185c2, 0x4689236f, 0x7166248f, 0x0cbaf56f, 0xa9e30bda,
+    0x5e95b962, 0x204d3f85, 0x01a481d7, 0x89697edc, 0xa4350f3e, 0x9b41e904, 0x12e60998, 0x09738354,
+    0x28760d37, 0x0ffcb7c5, 0x975e5471, 0x184f6281, 0xb8fac1a5, 0x96102401, 0xb0bf7bbd, 0x97055195,
+    0x1ebb0519, 0x76be051e, 0x55d2b54c, 0x15f1aedf, 0xb209dacf, 0x76e526d7, 0x0d596a6d, 0x082a0997,
+    0x4dfd873c, 0x62ea69b5, 0x885b3f64, 0xe324d776, 0x03418c7a, 0x9830a119, 0xe0e4491f, 0x73bf91bc,
+    0xe1a20f90, 0x8011ac55, 0x70e7ba6a, 0xc052c4db, 0xf5b30045, 0xae37169a, 0x2b0be148, 0x8f238083,
+    0x73f157d5, 0x2cf4ceba, 0x9cf7cae3, 0x0b975d85, 0xdbbb956d, 0xfc046f03, 0x9f955e29, 0x9e319979,
+    0xe6052320, 0x348ed5e4, 0xcf72768f, 0xb511d614, 0x8a9cb19f, 0x6cb2c9b3, 0xa65fa4b2, 0xab9d5cef,
+    0x267aa552, 0x4c763419, 0x55c5f15a, 0x9fe85dbc, 0x0f5d48ed, 0x0a86db85, 0xbfefe9d4, 0x30a5ef6f,
+    0xb797298e, 0xd80ce52e, 0x1ca7a5d5, 0xbaa5f167, 0x6510da2c, 0x8bd706ea, 0xea73e464, 0x02534dc4,
+    0xb5b08144, 0x9c644bd3, 0x230fd084, 0x3e89ce6a, 0x5c619bd4, 0xbadb79e6, 0xb9229ca3, 0xf7a3d3dc,
+    0x4da938bc, 0x342cbee3, 0xa99afa40, 0x76ee0b52, 0x39df7fd8, 0x514d54cc, 0x694cecb5, 0x5dc93744,
+    0x15cdadbf, 0xd79d724c, 0x64ca73fa, 0x6c4566bd, 0xc59c58eb, 0x63e83779, 0xdb395c6b, 0xc988e0b3,
+    0x67d6db8e, 0xe4ddc703, 0x6733ac20, 0x3887a284, 0x4c1edb96, 0x66fce2cb, 0x6359747a, 0x0f4442ac,
+    0x5544b35a, 0x84ac3ee2, 0x5846f301, 0xa161acbd, 0xef6096e3, 0x8826f3cb, 0x58e861f9, 0xd1224939,
+    0x186fa4f3, 0x536b1800, 0x7d314dff, 0x69837db6, 0x1ac290e4, 0xf9f8fa6d, 0x286dc3b8, 0xea06ae37,
+    0x2d177cfa, 0xa19627a1, 0x1e47355c, 0x9bcea3f7, 0xdb97cdb0, 0x07d5271a, 0xbd5aab6c, 0x6650fefd,
+    0x7d6e649a, 0x766084e3, 0x76b60673, 0x5a9ae34d, 0x2cf8f2a0, 0x63809686, 0x9be695cd, 0x2bc6fb27,
+    0xeac390f9, 0x92a77253, 0x2f38926d, 0x3fd09a35, 0x4d1630c6, 0x63eef7fd, 0x6d48ee86, 0x41fe0863,
+    0x521e40f1, 0xc872e066, 0x0f97fe0b, 0xa84b63b2, 0xb679a21a, 0x5dd8c10b, 0x6b4ec0cd, 0x689183a4,
+    0xe3a4ae10, 0x3345dccd, 0x4add0d91, 0xbf555a96, 0x76974bd4, 0x7ab1ffac, 0xf0455f4c, 0xf1502be6,
+    0x8c2e3f7f, 0xd693fb5d, 0x97de525a, 0x1e7ec34b, 0xec698e7f, 0x66530fa0, 0x42e0b96f, 0x2c751f0b,
+    0x9f7a8f35, 0x8d8ba3c3, 0xcc99c09c, 0x638f9a00, 0x971905d7, 0xb351c7f2, 0x666eb4e5, 0xe44ae6f1,
+    0xe7f4e40e, 0x07b63b20, 0x5cdf287c, 0xdae8e0ef, 0xf5d197ee, 0x737b2011, 0x6d253c51, 0x0eeff1ad,
+    0xdc1202f5, 0xdf3d3116, 0x88a34459, 0x0d8ea1a2, 0x5c2f578c, 0xd42fd804, 0x0c0c15d8, 0x335660a0,
+    0xf3fef91b, 0xd8544d04, 0x3723d94c, 0xa2f927ff, 0x31dafacd, 0x6a0f1e59, 0x6c9affcb, 0xeb26d6f0,
+    0x5c646aac, 0xad1b94f0, 0x3c29290c, 0x5bb9bee8, 0x4bd24a2c, 0x3b98a66b, 0x46c1a17e, 0x11d61bfb,
+    0xd64fe5ac, 0xa6992f04, 0x7d61b87e, 0xd8eb3bbb, 0xd46e18c9, 0x792150c0, 0x132da107, 0xce448eda,
+    0xce726b88, 0x845c3de1, 0xfb3379c2, 0x37a891bb, 0x68dfe895, 0xf1ecdf21, 0x94090c23, 0x4b31098e,
+    0x5546be1c, 0x0e13a3d1, 0x7b1756d9, 0x84886464, 0xc36db09e, 0xf1b0d686, 0x4dcc8060, 0x01138242,
+    0x90590da0, 0xc6fbcda9, 0xe9cff542, 0xdcdb63f7, 0xa240ac3f, 0xd86cf15e, 0x4152c77e, 0xd5abeef8,
+    0xc3992e55, 0x56922023, 0x8b8dce4b, 0x61844878, 0x0f5838e6, 0x17a093e3, 0x56829639, 0xd972dc45,
+    0xc431d2d5, 0xaaf21ddd, 0x61c9d5b0, 0x71b37286, 0x48a4933a, 0x6d1d3c8d, 0x61865ca2, 0x4cc28476,
+    0x09659e17, 0x9bbd52c8, 0x7ad98db7, 0x02561ee5, 0x84a0f283, 0xd0e401dc, 0xc60fd52c, 0x4e841dd7,
+    0x8ca0fa3b, 0xbbbf7cac, 0xe1672472, 0xbdf1d473, 0xeed71881, 0x7d110b19, 0xa0e73d3d, 0xb04c4825,
+    0xc452d8e3, 0x52dce810, 0x7b7050ff, 0xf792d1cf, 0xf685cf4c, 0xbf566946, 0x203e6b31, 0xefc51742,
+    0xfe83d6cf, 0x245c907e, 0x081ed103, 0x29459dae, 0xf18a37c7, 0xa34320fc, 0x0b3b189c, 0xe495e62b,
+    0x7b5ceb69, 0xee25c074, 0xf505c854, 0xe708e12e, 0x01e7e837, 0x893768f8, 0x64457215, 0x6ec0edcc,
+    0x181cf826, 0x2b38c0e4, 0xe62d775a, 0x269b9ffa, 0xd487467e, 0x4fddeacc, 0xf7dc2bfd, 0xa0354426,
+    0x7649ec80, 0xfea023e1, 0x89c2169d, 0xeff1fcee, 0x72bb0c20, 0x641e3138, 0x50d96ac0, 0xd3dbcc73,
+    0x458cd75b, 0x8510e12e, 0xa63e52e6, 0x748608fe, 0xc53a1950, 0xad74c175, 0xd5d4925c, 0xa6c82f96,
+    0xb82f48d7, 0x973b113a, 0x51880102, 0x075b161f, 0xca0f6816, 0x4a6c7fa7, 0xfcd1e3af, 0xd7320c55,
+    0x9f90fa3b, 0x165f59bb, 0x36fd691e, 0xa2f3d04e, 0x0ee7e3ae, 0x86146716, 0x3b068c6b, 0x8fb580d8,
+    0x868f4e74, 0x41e42a0a, 0xb12f1c78, 0x99e113bb, 0xfc262fbc, 0xc29fea68, 0x78678983, 0xbe200386,
+    0x3045e104, 0xfb7269f3, 0xd36667b6, 0x2d0a08f5, 0x5ad69c21, 0x96530a5d, 0xecfacf13, 0x0ac46aeb,
+    0x797c4e5c, 0x22d0de8f, 0xdd2a168e, 0x4ee0053d, 0xfbbda465, 0x4e859a2a, 0x7e98fd60, 0x3cf97d50,
+    0xce1b52d1, 0xdd72ffe5, 0x58335c75, 0xa77b9c85, 0x7d6433a9, 0x42eb50bf, 0x9fe1fce6, 0x1c3011ec,
+    0x8be93073, 0x9d5ce89c, 0xae5c818d, 0x9081a289, 0x0ac7a558, 0x237a5c17, 0x3db059c0, 0xd48e09b5,
+    0x3f4ac783, 0x83bc225b, 0x272d5326, 0xf5c160a3, 0x224206ce, 0x9ed22417, 0xce1a574a, 0xd3c279c7,
+    0xe97232ce, 0xed080a85, 0x2149c9ed, 0x4fe54a2b, 0x97dec6cf, 0xa39e7ad4, 0xe2734d7d, 0x3f70c005,
+    0x03e3e465, 0xd1d619cb, 0xc501d96b, 0x1584efe3, 0xcdfd6028, 0xf711c821, 0x90e60620, 0x729bc862,
+    0xdb98b141, 0xc7d150fb, 0xa52b5190, 0x127937f5, 0x435d76c5, 0x909bd7dc, 0x137edc31, 0x5e03db2a,
+    0xbec0a5b9, 0x2a90af7b, 0xd4b581a3, 0xb182201c, 0xeb40b5b6, 0x635cb840, 0x20bede83, 0x232b2ac9,
+    0xa1bd5c99, 0x0b352907, 0x9ed3b8da, 0x53d6cc27, 0x9241efa9, 0x831d6551, 0xbb9a831c, 0x8b0957f5,
+    0x047e948d, 0xe4d4a6dc, 0xf36c5fed, 0xb548af32, 0x50132166, 0x4675a192, 0xfffcca06, 0x9ea2b397,
+    0xef28be58, 0x8d80570b, 0xcc1c4b90, 0x1c3e3504, 0x49687b0e, 0x8229e371, 0x48b5c2de, 0x0203c752,
+    0x96254eb3, 0xe200281c, 0x43f5844b, 0x52c9e0c5, 0x464836c8, 0x59d15ee7, 0xf34507a1, 0x85f3962c,
+    0xcb720245, 0x7f9e57ff, 0xfc6218dc, 0x122e7afd, 0x0a3e5d1a, 0xa33c53fa, 0x269779ae, 0x8b65dd07,
+    0x86292bd1, 0xcb5de364, 0xa75aef84, 0xbb451951, 0x0d4759ca, 0xf84b3a00, 0xdb9366cc, 0xe42b9daa,
+    0xb9e7a36c, 0x8cd739b3, 0x77b7ae60, 0xfe562077, 0xdbabedd6, 0x0746a4d3, 0x67571f50, 0xd9b3f359,
+    0x7c94b10c, 0xa181cd51, 0x17d43d0f, 0xbcb04ed3, 0x5c4a7c05, 0xbda1f05e, 0x1519ccad, 0xc8152522,
+    0x79c60e90, 0xb30a3825, 0xe69abf36, 0x8a25ebea, 0xc819fa09, 0x8f89d042, 0x9a73d676, 0x29e2c9fa,
+    0xb408594f, 0x7e37f568, 0xf7fd0a49, 0x6dc4dfd4, 0xceb92945, 0xa25057c3, 0x2e1367eb, 0xb319b903,
+    0x6c8ba7b7, 0x536f2923, 0x18e34c1d, 0xe2233652, 0xc70c363a, 0x3dd4eb56, 0xf97bb6cd, 0x1edf2821,
+    0x1f7ffe87, 0xe42a52c9, 0x5ddd40bc, 0x5e5f0914, 0x2be84167, 0xbc81ffeb, 0x22b354d3, 0x38e182e1,
+    0x6bba944a, 0x0cf58062, 0x376519ce, 0xd68c59b7, 0xb340e07a, 0xd33b0564, 0xedab21f5, 0xb30d1b79,
+    0x4d0e3293, 0x24e279df, 0xa28f69ba, 0x7e07a5ff, 0x0ea3117b, 0xe318bd2a, 0x7eec7da7, 0xe04c245f,
+    0xf44b99eb, 0x8810600e, 0xdc1b4e58, 0x68b2fea3, 0xf89f73dc, 0xf74e73b0, 0xf9be86af, 0x0c5a3432,
+    0x9a9b988f, 0x8fbfb3d8, 0x073737ce, 0xff82299f, 0xea2bb7ab, 0xe42e24b1, 0x13494bd3, 0x514b663e,
+    0xbadccb2d, 0x19f020b5, 0x32dac88c, 0x5397d9b2, 0x749d31ec, 0xf73dc9bd, 0x44038536, 0xdee69d82,
+    0x6b999cfc, 0x86bbcb92, 0x22e967f2, 0xe58983ba, 0x6ee0a8ae, 0x47c6e6d9, 0x9ed2880e, 0x77e7c5a2,
+    0x769538b7, 0x022a3bee, 0x90681d12, 0x291d8983, 0x83b8bea0, 0xfcf84491, 0x3e115b8a, 0x042d8eb5,
+    0x9eb3cdc4, 0xff1f2ce4, 0x5303a490, 0xba3f8705, 0x0d0490ff, 0x3f3ad05b, 0x1794cae4, 0xc8870892,
+    0x7311c174, 0xd74610c2, 0x54ae0cb5, 0xd8eb6171, 0x7820f5e2, 0x48d3a18e, 0xa9fbd97b, 0x4aec8955,
+    0x1b791988, 0x23c6c069, 0xa67735c3, 0xcfe2a5da, 0x3c06b043, 0x3c48e23a, 0x5939c3b7, 0x7b668fb5,
+    0xe9cd0cd8, 0x97efe8ad, 0x1a195049, 0x052e940d, 0xd6193f99, 0x7551e5a7, 0x13df4efc, 0x73ac61e2,
+    0x432dc33a, 0x51cfca3e, 0x5c1c5d35, 0x0413dc88, 0x42916539, 0x86f17c0d, 0x9b933ef7, 0x42fe5673,
+    0xdfdb23af, 0x6507ba31, 0xab6f552a, 0x99654580, 0x79867670, 0x59e0bb15, 0x292e2f1c, 0x18b929b5,
+    0x9443c56f, 0x23d4eb1b, 0xcc7611e6, 0xdf6d1de5, 0x053b0cbb, 0x59ef5eb6, 0xca218fdc, 0x1948e53e,
+    0xefe7ec5f, 0xd8f23ba1, 0x80f7eeaa, 0x00b46346, 0x974da950, 0xfbc06435, 0x9395b5bd, 0x73bda421,
+    0x022ac87b, 0x044e0e28, 0x3757a79b, 0x5c716de7, 0xa3dbeabf, 0xb6b5252f, 0xc22df1ae, 0xea3d0e10,
+    0x1ddf1452, 0x08f72108, 0x86b24f23, 0x2886f553, 0xba926e11, 0x165f9bc8, 0xa0cef80f, 0x5f97eb19,
+    0x06acf9eb, 0xccbb5dfc, 0x104f7739, 0xd61f3cd8, 0xc2e5ec03, 0x7aad20bb, 0xf57cbf89, 0x37b986e7,
+    0x572dd76c, 0xd4e23ed5, 0xd5230dc7, 0x93965825, 0x60e9973b, 0xce0a6d57, 0x26735b05, 0x9516cfad,
+    0x6b13c3cc, 0x6099365c, 0xc73cd826, 0xc2e8c46a, 0xb4161b50, 0xb7314b9f, 0x83452025, 0xccf91df9,
+    0x3ca46d3b, 0x9d82f61a, 0x61b94f22, 0x6cce6031, 0x73d76d54, 0x83a13caa, 0xc0c7d1f3, 0xe05a397e,
+    0xfe4d6897, 0xfb9dfaca, 0xc737b3b5, 0xec27e2e1, 0x266d3d68, 0xcdfe41fe, 0x866a753f, 0x500652c7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000091343852333181432387730302044767688728495783936 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb69, 0x9b2d8abe,
+    0x00000000,
+    0xdb5dc697, 0xdcf6928e, 0x32fd6b97, 0x74328985, 0x18ffedbe, 0x168b34bc, 0x0b794eba, 0xd36cfdb2,
+    0xabf40e82, 0x958e40c5, 0xa04b118f, 0xecfc5066, 0xb7976765, 0x255adb32, 0x7bb4e363, 0xda3f2350,
+    0x60126090, 0x1c9bc39e, 0xbfca3484, 0x18175f4f, 0x4aef2c13, 0x80d967e2, 0xac8183da, 0x81787d60,
+    0x25be8cea, 0xd48cbd47, 0x89a9d290, 0xefc34ab7, 0x64decc12, 0xe7b1e0a4, 0xcd69b081, 0xf141a8f7,
+    0x431f8145, 0xfdb5b979, 0xb8e3b047, 0x1c06f713, 0xe3c3aac2, 0x7ea0da6c, 0xf3ee887b, 0x2d47ec5b,
+    0xb733fa53, 0xaf57ebd2, 0x1661a071, 0x1723da80, 0x2b7b2caa, 0xca4eaad0, 0x3c17d6c5, 0x43e2c9d6,
+    0x59e728a4, 0x2fd8fa3c, 0xc21033d6, 0x2c6351ff, 0x315b7597, 0x03557151, 0xc22aa0ed, 0x1ab026b0,
+    0xa97e580e, 0x653e0ba0, 0x278581b4, 0x7e73ab20, 0x46c5b125, 0x5bcbff9a, 0x683bcdcb, 0x89589fa6,
+    0x5887a4e3, 0x9bf0a2f2, 0x752e19c9, 0x6f87a8ee, 0xf9ea5fc3, 0x0b388e22, 0xfa2f54b2, 0x54563c01,
+    0xa7fc0a12, 0xbdd1422a, 0x4527a249, 0x68fb738a, 0x196547a3, 0x658f03a1, 0xf6c61847, 0x21ce8963,
+    0xdd339e19, 0x4c170ce4, 0x7182f91e, 0xa43da9c5, 0xc613370f, 0x50d9cef4, 0x0c0fd022, 0xeb83d05c,
+    0xf9b39a61, 0x1b29fba7, 0x872fb136, 0xfce8e23d, 0x7cd836ab, 0x4f7067a4, 0x2f125b2f, 0xce867b98,
+    0xe588d324, 0x7f48a877, 0x4ee6e9d6, 0xd7b86719, 0x9a6ad1d7, 0x20f81a5a, 0x2ab45d33, 0xe69c81c1,
+    0xf2882468, 0x1906d4c0, 0x94cf3135, 0xf76b11fc, 0xb7020d89, 0x0fcb65b2, 0x7b42465a, 0x849836f9,
+    0x3d41e71c, 0x1ef864dc, 0x36d50c2b, 0xaecc2961, 0xfe9a0021, 0xe0f4e777, 0x647182ec, 0x8fd8e08c,
+    0x8e672c46, 0xcd8dfe50, 0x1cb013b4, 0xb0f2d03e, 0x666eea9f, 0xfaa17177, 0x45f4c61f, 0x21af135a,
+    0x2b6bb7e0, 0x2ea1c587, 0x6312b3b5, 0xe4e46b43, 0x08cced47, 0xcf163704, 0xe054c76d, 0x7e08050a,
+    0x8efe7fbf, 0x4930811c, 0xb1687252, 0x66a94001, 0xa330da26, 0xa4f95e07, 0x68f61a30, 0xf73976be,
+    0x80651f65, 0xfe92c435, 0x12007b0c, 0x1e325d3a, 0x6118fe49, 0xbdc09f7e, 0xfdcf3ed7, 0x05c848ce,
+    0x2a2ee2e9, 0x06ef93e8, 0x2a279540, 0x9429504b, 0x6fdbd83a, 0x47557122, 0x6bf85c29, 0x586cb0e0,
+    0x17966cb5, 0xc38525bc, 0x53dbc23b, 0x8eaf6ea5, 0x6bcc3650, 0x9d9221a0, 0x4539f52b, 0xc8631417,
+    0xb484eb2e, 0x7f6c6666, 0xbc8f8945, 0x1d446d39, 0xb712dcf5, 0xea313479, 0x0021995a, 0xbef0b320,
+    0xfbc1d835, 0x200ff062, 0xd2a591a7, 0x29eec094, 0x05aabae5, 0x110cbeeb, 0x845fa425, 0x04395865,
+    0x5ca562d7, 0x33c492bc, 0xf5cec7fd, 0xd899bcdb, 0x35d4500f, 0x279a82b1, 0x6a253605, 0x735fcf4b,
+    0xc1f82a25, 0xb82205e2, 0xad39aa76, 0x28fcec10, 0x61b6b81b, 0xa87ad97c, 0x460b345f, 0x74ce0d84,
+    0xabe582a4, 0xac3013b1, 0xb57e1168, 0xdbfee2c0, 0xfb8c7092, 0x01c0669c, 0x1459e8a8, 0x958af77f,
+    0x88d07861, 0x7e3d3898, 0xba449aca, 0xf96b6533, 0x679f6db8, 0x81a9fc25, 0xe199d9b2, 0x1d9f0f21,
+    0x7233b98d, 0x73e08001, 0x68d3afd7, 0x8e1e1750, 0x08ad00be, 0xd81063ff, 0xe42eb585, 0x24dcd1e0,
+    0xa120577b, 0xe274b7f9, 0x22853036, 0xfa49f3bc, 0xc9855ee6, 0x04f40726, 0xb2cffdd5, 0xe7a6f168,
+    0xb733acaa, 0xa889dac5, 0x6a52bc12, 0x30c0f4a9, 0x225a9af0, 0xd99c937c, 0xf513b804, 0xe1834677,
+    0xc432e489, 0x70de84bd, 0x25ea820d, 0x833cb94b, 0xf9284553, 0x1daf0c16, 0x70c96b07, 0x1682d8f4,
+    0xfc662548, 0xd8b4d856, 0x16028040, 0x53f70b73, 0x531d7d8d, 0x3300db99, 0x3015853e, 0xe31cc8ae,
+    0x25337129, 0x16fe3ce7, 0x9d4bb946, 0x7c4174b5, 0x17041086, 0xa6107912, 0x2cd03c42, 0x8c3c660e,
+    0x983839f1, 0x366315fe, 0x314fb659, 0x3bbb81c1, 0xfdb49b1b, 0x93e6a1f7, 0x382512df, 0x7b816842,
+    0xb782ee39, 0x5785fd6f, 0xa0c49376, 0x7072a2cf, 0xe43f11da, 0x0cccffdf, 0x17d04ffd, 0xb2a49e35,
+    0xf2525b6a, 0xfa62f441, 0x59ce76e5, 0xbce34634, 0x1120f103, 0xec50072a, 0x7b257cdb, 0x9408a3e8,
+    0x0c0c0ad9, 0xb2e3fb1a, 0x2b6a3d62, 0x422a5e11, 0x2b688b82, 0xc4296c68, 0x5eb5f22a, 0x29338649,
+    0x6433ca0e, 0x054a715c, 0x5bfddc33, 0xc9517e8f, 0xf7b926b3, 0x3a55fe24, 0xbb531e13, 0xf0c0dd6f,
+    0x8a07a340, 0x532630ee, 0x81f06bd9, 0xf6ace6ac, 0x74184a52, 0x97d10017, 0xfbf52413, 0xfe4d1c63,
+    0x357c11e3, 0xc561e09e, 0x24b4c29e, 0x657c1bf7, 0x5c210e67, 0x07ff0456, 0xda768dfb, 0x6897d34d,
+    0x1c993734, 0xff541a3f, 0x8053fb1c, 0xd4ff16ef, 0x57b48532, 0x52aeb836, 0x08235f31, 0xac3acc57,
+    0xad2d3b12, 0xde211348, 0xeab21464, 0xc219fc7f, 0x5b131f85, 0xcd8c423e, 0xdbb80f7d, 0x188a9ecc,
+    0xd365f43e, 0x2c72bbf4, 0x2038eec5, 0x85bf5927, 0x1c671855, 0x7d9be302, 0xf20b0828, 0xf6a16974,
+    0x2f242256, 0x19facedd, 0xd4efefe5, 0xd96575bb, 0xb9d88b6c, 0x97a73d6b, 0x5255b39b, 0xf743b12a,
+    0xb15ee43c, 0x4bed60e6, 0x480d25d5, 0xf26e03ca, 0xfd930626, 0x762ecf08, 0x01c059d8, 0xb90850a7,
+    0x484df2f8, 0x6d736856, 0xebd22d89, 0xd7ba45b8, 0xf1129543, 0xe195e5f3, 0x2f110efa, 0x3b543348,
+    0xcb9db3fd, 0x09f290fb, 0xec06e25a, 0x0681a3b9, 0xcc274eac, 0x3c3781ec, 0xf73d632b, 0x093419fc,
+    0xab7d697a, 0xa92714ed, 0xe04af289, 0xe127a4c4, 0x09835a64, 0x580d0d59, 0x91eb8333, 0x07683766,
+    0xc2cb8151, 0x403601ea, 0xd6e7c7b2, 0x93ce4dae, 0x20106dd9, 0x87cbd743, 0x89f3c67f, 0xa14dced4,
+    0xa32cd57d, 0x2b41e0ec, 0x1ca5f7c3, 0xf0ac04dc, 0x089918a1, 0x6cf21c5e, 0x5a7c8232, 0xd8f48106,
+    0xbe1fa07c, 0x8a461119, 0xbab21aa2, 0x4a543119, 0x9e2b8763, 0x2ea8fdc9, 0x2399bc6d, 0x25a8bbae,
+    0x0ceb0a31, 0x929e8e58, 0xbdd8f3d6, 0x674ba953, 0xe5721fae, 0x44f084f7, 0xadf0eeb1, 0x3b5440ec,
+    0x5abc75c3, 0xd73871da, 0x6e636170, 0xc974a9e2, 0x0676925b, 0xccc1e73f, 0x7ffb11f7, 0x05b32bfd,
+    0x285ada42, 0x7354531a, 0xf67e9b30, 0xae3c4f52, 0x0b0cf0cf, 0x07bea360, 0x220f6ed2, 0x97a924b6,
+    0xd7b999a8, 0xce71330c, 0x1e7782ba, 0xbe2fdc06, 0x395b436d, 0x27ff4dcd, 0x716544e8, 0xef8116c1,
+    0xfb55e896, 0x213a4570, 0xc21466fd, 0x4906bcbf, 0x8a9c5a3c, 0x021c255b, 0xe4881485, 0x2bc8f143,
+    0xcc5fbfef, 0x42075774, 0x2a276a61, 0xcb851f65, 0x7a4ec086, 0x1b4b2157, 0x6da1fb2b, 0x14d058cf,
+    0xc6cc8a6e, 0x8659967b, 0x995494a8, 0x4b8167fe, 0x7950e490, 0xda1d9b70, 0x368755ce, 0x843aaacb,
+    0xf335a948, 0x4e94c7e3, 0x566b1263, 0x8d393393, 0x21b05d77, 0x3b3ab71b, 0x103b32ee, 0x6db748cf,
+    0x05c292e7, 0xbbe028ee, 0xa7e95a6c, 0xfac5e7ff, 0xb12e04c1, 0x5bf20634, 0xecc55452, 0x725c064a,
+    0x0cc126b8, 0x95623279, 0x8e5974ed, 0x1cbbb9f1, 0xd427bacc, 0x39f745cc, 0xd867f589, 0x61e49330,
+    0x4c472586, 0x2e004fac, 0x8b0a4422, 0xb8612718, 0xe07d0b5c, 0xf9eede4d, 0xe0460e90, 0x5ecf411a,
+    0x8fc425d8, 0x9e7d8b34, 0xdd023c8b, 0xedf1c65c, 0xe5a77f1d, 0x7147de56, 0x7157315c, 0x07c6b40a,
+    0xec38b343, 0xbd7c3481, 0x0c53430c, 0x105e5762, 0xb95f9223, 0x0c297ecc, 0x19326257, 0xaecc65f8,
+    0x472cdaac, 0x218699ce, 0x9631b841, 0x0049e9ca, 0x4a76390a, 0x98eef13e, 0x78e9f926, 0x069ab717,
+    0x8eac2c0f, 0xdbf588e9, 0xfd05b579, 0x359d9060, 0xb55a7cbb, 0x16466505, 0x5bfbc4a9, 0x3579065d,
+    0x9d641082, 0x67338ed0, 0x9435bdaa, 0x1c9576dc, 0x17e508dc, 0x27d9a0f2, 0xb0e1553c, 0x0724a714,
+    0x4b6c52d8, 0xb9058796, 0xdd5e480b, 0x2c1d5a8a, 0x1ebb095c, 0x89c72c55, 0x7636cf57, 0xa8c0406f,
+    0x667b3aa5, 0x461ccbe4, 0x4b46958d, 0x5de4822d, 0xa21791e5, 0x4d83d96a, 0xea7cf1b4, 0xf8cdfead,
+    0x8be1f007, 0x90500189, 0xebf18be0, 0x3d6e4ec3, 0x075c8c61, 0x6b81a4d8, 0xf4bffa8a, 0x7942aefb,
+    0xbd9a2db5, 0x3e95b4f3, 0xa9d7b8d8, 0x4c1e0563, 0x670aceae, 0xa04ac85a, 0xbfebb480, 0xf1e79811,
+    0x3e6b8865, 0x869a256b, 0xea25c211, 0xfaace8b9, 0x34707ff2, 0x4be31ee0, 0x73667943, 0x2009254d,
+    0x865891fa, 0xa25ac8f7, 0xc2ba458f, 0x0adbe920, 0x55ae5d42, 0x00505473, 0xf27ed130, 0x9d4adc2b,
+    0x95edc66f, 0x13aaa4ba, 0xa2eb44e1, 0x46fcc5b9, 0x70a38677, 0x02d90953, 0x53ba8894, 0xfdacf913,
+    0x955f74f9, 0xe5ed9ff8, 0xf9acc69a, 0x1a3e28f2, 0x7cb1718e, 0x3848e426, 0xe0ba70dd, 0xbec8718d,
+    0xa7d12f0c, 0xbb40f162, 0x400f42a5, 0x3e1c89cc, 0xd79d8762, 0x3216039d, 0xbeb22d85, 0x7f12b5b3,
+    0xd45260fb, 0x608b7a78, 0xfef75e67, 0xc18e8d53, 0xebdd2233, 0x81ac3c05, 0x24e652e0, 0x74df4087,
+    0xbb00c9f2, 0x6833047b, 0xc8e2ddf9, 0x938b6888, 0x641bb732, 0xd37cda3a, 0x4982cbd6, 0xefdbe688,
+    0xaf15a978, 0x2ccb85fb, 0x668b1736, 0x97941bf8, 0xd2b8fea7, 0x18825e4b, 0x3042515c, 0x6aa94be2,
+    0x161bc332, 0x203e5c3f, 0x1f34d8a4, 0xd8e357d3, 0xa4b19255, 0xa806230d, 0xc15fc486, 0x83708aef,
+    0x7afaf71e, 0x8aa8c8f1, 0x2e64a9cd, 0x954188a6, 0xb2278798, 0x90419027, 0x8d5ff05f, 0xe7d4cc51,
+    0xfeab3b7f, 0x7df50b75, 0x6387c7df, 0xe6a80963, 0xd3c3194e, 0x8a31ff6d, 0x1cb2c10a, 0x7efc2c04,
+    0xc42e1c17, 0x847e7d5f, 0xdae825e3, 0xbbb69f41, 0x53aae833, 0x750325b1, 0x887de50e, 0x3da6a707,
+    0x55e47c48, 0x6a423e6e, 0x128c3335, 0xad5390c5, 0x1311c67f, 0xdd971973, 0x55a87a2b, 0x698348c1,
+    0x673d08ae, 0xcf5bfa48, 0xfeb0c729, 0x462f68b9, 0xeb17e7d3, 0xd94de438, 0x72926741, 0xbbf58c5b,
+    0x4c2fbce9, 0xdb802a24, 0x6f261902, 0xe65cc168, 0x07682592, 0x0594be00, 0x98c62e53, 0x78503952,
+    0x428fd0f7, 0x3aac9ca4, 0xf81239a8, 0x323b8b8b, 0xf4bd4037, 0xd2ef653b, 0x4606dbd3, 0x9ec7b4ce,
+    0xd810f3c2, 0x036f5da5, 0xb533e9dc, 0x62253e2c, 0xe7e24076, 0xce5f50f5, 0x1d0b343a, 0xe2975b3d,
+    0xb9be8c32, 0x70a62f3c, 0x3f92b1bc, 0x4159aba9, 0xd46c6607, 0x20c0706c, 0x7ef75529, 0xcf3a41ff,
+    0x46245811, 0x3877827a, 0xa08dbf9d, 0x0f14deff, 0xfcffd39c, 0x49c8814b, 0x4ea1510b, 0x54976dc9,
+    0xf940dfd4, 0xea4048f8, 0x279782e8, 0xd0e4b2c9, 0xc8beebba, 0x4696616d, 0x78f72f18, 0x134591b2,
+    0xcff6e13b, 0xbfadc55c, 0x6d285f58, 0x93aaa6c0, 0xf095ba6f, 0x6e235bce, 0xb88f76e3, 0xa4eecdeb,
+    0x7b8d1340, 0x4b5464ee, 0x69a4cb98, 0x8a6fa5ca, 0x21144dc8, 0x41bd3b0a, 0x8451c959, 0x8d5ca1b5,
+    0x6c092d9d, 0x310eaa94, 0xe0666c54, 0x7b079e32, 0xe9199a84, 0xd98ef986, 0x31a098c8, 0x86d4b56e,
+    0xb1482fdc, 0x79a1ba6a, 0x830b55bd, 0xb8327b96, 0x4f8b1e9f, 0x850f161b, 0x9c71e011, 0x3186a386,
+    0xff9acf42, 0xcfd31042, 0x1f3f95d0, 0x56aa7d6d, 0x5c9088d8, 0x1294abe4, 0xd2df3774, 0x089f7e37,
+    0x89622a33, 0x57ca1ad1, 0xa4399622, 0xc2085f32, 0xde8d15c1, 0x4767d606, 0xe58ad93a, 0x0132b7e7,
+    0x7be824c4, 0x0190c2f8, 0x409795f4, 0x0980158e, 0x0d2a1d02, 0x6e15391b, 0x9919c47e, 0x6f7059e1,
+    0x7e26e2a8, 0x546359f8, 0xc315c84c, 0xb1f015a4, 0xad001f93, 0x5cb6cdfd, 0xb62afee3, 0xde81e7e8,
+    0x2e653a2c, 0x59a5718e, 0x2ab999eb, 0xc57e0608, 0x8f5fcc3f, 0x902fa302, 0xace37c01, 0xe2bba902,
+    0xa83de18e, 0x3fd18af0, 0x595ba793, 0x1227fd20, 0xb9c23661, 0x1d929bda, 0xebf8cd7f, 0x742e6aee,
+    0x0c9fd89c, 0x960eecd4, 0xdae2ced5, 0x60919a96, 0xf56c36ea, 0x56c48b8f, 0x447ce873, 0x26adc1a9,
+    0xa29b8913, 0x47da737b, 0xdf282142, 0x21b3874b, 0xb3edd93a, 0x04451072, 0xf0603203, 0xbe35eefb,
+    0x588a1741, 0xdb19bbfa, 0x7217377d, 0x903b16ce, 0xcc71a3c6, 0x98cab12b, 0x97b9d560, 0x8a61bebb,
+    0x5bac47a0, 0x0ee730bf, 0x796cf242, 0x98eceed0, 0x2531fc6d, 0x0ddd4094, 0xfd57b639, 0x0c83f0e9,
+    0xd9725589, 0xc1a5e64f, 0x32c7f246, 0xfe2cda1c, 0x636ea0a5, 0xd8ddd121, 0x2d36d4da, 0xa5ebe734,
+    0x910ce464, 0xd9811b06, 0x9a91b13e, 0x2218a5df, 0xca738ea6, 0x936f8d07, 0x3286736c, 0x45660572,
+    0x263f668f, 0x08cd8326, 0xa13df9a6, 0x76b8f7c9, 0xc977f16a, 0xd6ca031a, 0x558f07e2, 0x6f47d0e3,
+    0x5129db87, 0x205f8377, 0x17eb4f26, 0xce68ee6b, 0xa4fa0642, 0x47840d27, 0xb5047076, 0x92ee586e,
+    0x3b5ec455, 0x61310c12, 0x423e8004, 0xf084c08c, 0xf165dae8, 0xfde60f7e, 0xb9b0f2a0, 0xabbe82e6,
+    0x712334af, 0x0dd5fc19, 0xc9c9a27c, 0x2b68b126, 0x379756b7, 0x1a25d0aa, 0xd6cadd76, 0x051bb88a,
+    0xa5ea8978, 0x7d83de71, 0x5ab5dad4, 0x103afc94, 0x3d4f6d3a, 0x92f4e3d3, 0x2fb0f9b6, 0x4dd779ca,
+    0x274b347d, 0x525b76ba, 0xd0bb69fa, 0xa9bcf1e1, 0x80112509, 0x4679bec0, 0xdcf23fde, 0x5363e456,
+    0x081bd50f, 0xe8b8979f, 0xa11e5e79, 0x8a93bc9a, 0x077395c7, 0xa0257763, 0x91874ac5, 0xbf518b95,
+    0x2da6af15, 0x64b3e51e, 0xc728b5bc, 0xf9d62427, 0xcead4459, 0xb9a80536, 0x935562ff, 0x7bd0d276,
+    0x462febc7, 0xcbd950cc, 0x54092567, 0x34f45ed0, 0x27deaeb4, 0xc6ab055e, 0xbd68ab8f, 0xa9ab43f2,
+    0xfc00a5f0, 0x666787fa, 0x547b3fee, 0xb8ac3ba7, 0xb9c55ed0, 0xdf3ea621, 0x48c5b706, 0x92535467,
+    0x840b7e52, 0xfa0d4ae3, 0xeb56e8d8, 0x93682c3c, 0xa41ec395, 0xbfdb1721, 0xcd75e527, 0x0198bb32,
+    0x4a1da2cd, 0x6f76e657, 0xeb297a5d, 0xbcc11cc3, 0xe5a6a75e, 0x8b5e5f5f, 0x99a75206, 0x5e07dea2,
+    0x236b96c7, 0xb3827b7b, 0xefdf2551, 0x0aaf90e0, 0x880d750f, 0xcf6cd058, 0x64af3826, 0x4a54ad04,
+    0xfa731c06, 0x7f79cf4e, 0x1f27f472, 0x014d6c16, 0x8040296b, 0xcc79081c, 0xdcaed90f, 0x9e70eea3,
+    0x7263557d, 0xc52ec1c8, 0x989b8dea, 0x223a96b0, 0x45e07a2a, 0x19831b08, 0x1f5b5289, 0xe5d663f1,
+    0x88d8efed, 0xb8039c03, 0xb712c41b, 0xb68d07c3, 0x2db4bbce, 0x6c70dae1, 0x61f5d83a, 0x0c53f452,
+    0x6b977bab, 0xca955a09, 0x3460a82c, 0x54ca5681, 0xb66ea5ca, 0x0ab91fe5, 0x9e554efe, 0x04a1c9d8,
+    0xc0a82881, 0x7947ea65, 0xb57df615, 0x49aa403b, 0xac683e45, 0x309ee896, 0x3ceb2bd7, 0xb81a4b69,
+    0xed63a0f5, 0x7470e114, 0x0ece8a56, 0x158f4c46, 0x7cd410a8, 0x9c281885, 0x45fba093, 0xc1b83e3e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000045671926166590716193865151022383844364247891968 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb4, 0xcd96c55e,
+    0x00000000,
+    0xecf9f00a, 0x5256433a, 0x1c917f16, 0x1716ff28, 0xc35e5aae, 0x53b4f5d2, 0xd5422fe2, 0x9b4720a3,
+    0xcea8ce5b, 0x8dd85b51, 0x1f0c20dc, 0x15791ad7, 0x5ee2d16e, 0xb0ba4a78, 0x11d6ef0b, 0x39358d76,
+    0xda6008fd, 0xbdbccc99, 0x2c113f35, 0x4ee7b390, 0x2b5a8654, 0xbeb06115, 0x3ac0631e, 0x225ec836,
+    0x55660b19, 0x7784c07f, 0xe9464c3d, 0x205835b2, 0x850b6a30, 0xbd41e92f, 0x4c579929, 0x5beb676a,
+    0x6e07ad7a, 0x865aef20, 0x31895b65, 0xfb7c4e8f, 0x0f7e8314, 0x7f00ac97, 0xb9d54ab5, 0x84ed6b06,
+    0x47d43836, 0x3793748a, 0x88372100, 0xe7378c7b, 0x98fa84bf, 0x21b05e67, 0x66abeed8, 0xe59b3d42,
+    0xc40d64d9, 0x985fb559, 0xb3b9aa0b, 0x423eb048, 0x7b33b812, 0xf6fb50d3, 0x4d5af771, 0x579764c8,
+    0x9234b880, 0x4fa9b840, 0x0f48c30c, 0x6bbfff3e, 0xf5f097d8, 0x66577df2, 0xd37646ca, 0xbce4bf70,
+    0x5c62962e, 0x960bb378, 0x4640b1bc, 0x700b2c84, 0x0142389d, 0xa58353cd, 0x5cf5f116, 0x268dbef8,
+    0xa5a8ae6f, 0xb3bd1df0, 0x5a8065ec, 0xb30e93e5, 0xa29e09d0, 0x28644f57, 0x08502ca5, 0x09a1f7f2,
+    0x9fd2a2e3, 0xb82fabbe, 0x32d5de6a, 0x86d978ae, 0x91350777, 0x54732398, 0x8e3bcf3b, 0x2ba31e49,
+    0x6137b731, 0x593725f1, 0x3c417b3c, 0x7eb2c5e2, 0xcf4deb9a, 0x50f0ac03, 0xb3cd609d, 0xbc073959,
+    0xaa872e7c, 0xe47913a5, 0xaac3905e, 0x75585a04, 0x7a24a4a6, 0x5049ccdd, 0x7bf34bf1, 0xe0062a9b,
+    0xfd7aa1e6, 0x59fa62df, 0x0289b755, 0x92270a4f, 0x33eeb61f, 0x035d9467, 0x3be268f7, 0x580d8728,
+    0x09cb6aac, 0xb91825a7, 0xfd4a7040, 0xd3928285, 0x10febc89, 0x37b8de5a, 0xe0fa759c, 0x1ddaf889,
+    0x674d6ead, 0xe6443324, 0xeba8e46e, 0xa016870f, 0x24c38335, 0x06fc1864, 0x016ae70a, 0x931a3dfc,
+    0xd248c03b, 0x3dd31ee8, 0x83a88752, 0x019486fa, 0x551545a2, 0xa210c089, 0xf80829d3, 0x47c4a80f,
+    0x8e0ddb4f, 0x604fdcb9, 0x896a8303, 0xda6feb12, 0x52325032, 0x8dc1bb74, 0x94ed9df4, 0x4be70596,
+    0x811c2209, 0x0ab35810, 0x643255d7, 0x002a32e6, 0xe487ef49, 0x8cf13159, 0xb7ba18ec, 0x1ff184a1,
+    0xaea0e6e6, 0xed58eb87, 0x15be58f4, 0x4c0afe24, 0x152afb5d, 0x576d2c29, 0xe91249e5, 0x7410de20,
+    0x76257d03, 0x43f47851, 0x448cad09, 0x2b5d3b35, 0xe2d3ed14, 0x16afd705, 0x7a5adbb1, 0x1fb773f1,
+    0xbb434b79, 0x62b0ca27, 0x95a06171, 0x336d04c1, 0x39128ceb, 0x2baf4474, 0x635181db, 0x89ec2ab5,
+    0xcb167192, 0xece3c630, 0xf6f661b2, 0xee851b23, 0x3bb3332d, 0x085668b3, 0x681377dd, 0xbe83c4bb,
+    0x0fe202e3, 0x60324db0, 0x28b07f4c, 0x62ce594c, 0x495de69a, 0xaa1ff4b1, 0xa2c46c07, 0xdaa48a29,
+    0xdf2a9b7f, 0xbf2efb8c, 0x347c4ce7, 0x05ae45a5, 0xff1556a5, 0xbed6b6a4, 0xfc7730f2, 0x563ae7b6,
+    0xfd0e40cd, 0x7db3762d, 0x6960d3b7, 0xeb48b4e0, 0x5ef3ec2c, 0xda6e8bfe, 0x82d3821a, 0xa2fd45b9,
+    0x810a8581, 0x3a4db85b, 0x157e0ec9, 0x3abf4882, 0x27fe5f4f, 0x82bbb4ff, 0x46396e3f, 0x3f719637,
+    0x9fdee893, 0xd4c003e2, 0x56db2743, 0x703557c3, 0xbf6ba210, 0x53e66519, 0xb4caeb72, 0x72291f71,
+    0x2ebf9d96, 0x6c4a146d, 0x9e042e1a, 0x2551b9b0, 0xa9bd116c, 0xda919d1f, 0xf8c484e9, 0x01910a18,
+    0x49e1af49, 0x61750b99, 0x63f31010, 0xd5724d69, 0x25a3cd93, 0x64125c9c, 0x4fc9051b, 0xdc2660c4,
+    0x868ebf25, 0x8f6c2036, 0xa87ad65d, 0xd9206733, 0x13f529ee, 0xf345a05f, 0xfc51cf81, 0x95075fbf,
+    0xbd08f01c, 0xfc9bebc3, 0x24ae51e6, 0xd8fed887, 0x6e396324, 0x1739bbd3, 0xe8f59ae3, 0x5c7ac341,
+    0xc4d7f843, 0xbfcdadd6, 0xf001c3d0, 0xd341a3a0, 0x59412fc8, 0x8c092b87, 0x50452406, 0xe6922be8,
+    0x3aa061e4, 0x3e6c6064, 0xbc6191eb, 0x145c9b3f, 0xc9cd9419, 0xe608f533, 0x1d3cc874, 0xc4ce1426,
+    0x8592f41a, 0xeb4306d7, 0x59eb56b7, 0xa7d3bfd2, 0xab703a9d, 0x562c9bdf, 0xe4005475, 0x6f947979,
+    0x0e59e74d, 0x89b710ee, 0x243dfefb, 0x1c22ca43, 0xc50402dd, 0x6ca3c099, 0xae35fef6, 0x2ab0996a,
+    0x91871d25, 0x308ab6da, 0x4a1a8c36, 0x8b19da62, 0x33fd5aad, 0x1e9da927, 0x76572ed0, 0x59793eec,
+    0x84fbaab1, 0xc946246d, 0x050af1d1, 0x5fd7c56a, 0x7094298f, 0x5093b13c, 0x66f462bd, 0x65d6b406,
+    0x41523d6f, 0x2e37fd89, 0x04c7d7e3, 0x157c338a, 0x0c1805fb, 0x1dee327f, 0x53ebd3c3, 0x1f88b5ce,
+    0x586ff349, 0x8545e71a, 0xba6f5baf, 0x8944db1d, 0xf19b0f9c, 0x60abd8e4, 0x3d5bcc1c, 0xbc95b7c1,
+    0xbd6556c4, 0xb2b12ecd, 0x50672a01, 0x8f8c31fb, 0xfd4c133f, 0x070470b4, 0x07bd45e0, 0x136ae559,
+    0xa1819794, 0x0f81b4ec, 0xf265861c, 0x9f8632b4, 0x7f3cc208, 0xf95fa2c2, 0x28878007, 0x67ffbb8f,
+    0xc68dabe1, 0x0041f6dc, 0x05e41f03, 0xb48eeb8f, 0x79b433b7, 0x7300481b, 0xd6bdeadb, 0x4338306a,
+    0x80226fcc, 0xd94771d6, 0xc705c845, 0xba0eb98b, 0x70f47de1, 0xe2c0edee, 0x43b34ef4, 0xa549f254,
+    0x735a7884, 0x26dd79d9, 0xe7328bdc, 0x51d99cb5, 0xe74d3e96, 0x652f57e6, 0x904c5060, 0xc1bd80bf,
+    0x47d133d6, 0x18d379bc, 0x071d5a96, 0x6bdf7a69, 0xde3daad1, 0x4ab409eb, 0x9bc052fc, 0x75f60ada,
+    0xcc62ad97, 0x8abb9933, 0x2c1448b4, 0x3aa7ddeb, 0x671e2488, 0xa59eff68, 0x730531a3, 0xf645e520,
+    0x63f2ee33, 0xde5fcf91, 0x0bd3160a, 0x4080365a, 0xe72b24eb, 0x36ff437e, 0xa35c3b8e, 0x4825fbc8,
+    0x2d55a7a3, 0x7b432ca1, 0xa5ac5e0b, 0x3f011785, 0x051f4026, 0x37122037, 0x93c57513, 0x76c1fae3,
+    0xe35a9343, 0x7fcea702, 0x61978214, 0xa4d943bc, 0x0a70cef1, 0x3dfc04c5, 0xdbdbe3ba, 0xa6d9f1ae,
+    0x86cfd1c5, 0xa31702b5, 0xe1e630ae, 0xf7f961de, 0x5537e02c, 0xf8cf3796, 0xf564c7cb, 0x7d5f51cb,
+    0x7ccc7274, 0x529407fd, 0x1185264e, 0xfcd71456, 0xd4aa4be3, 0xff1839a9, 0xf3e49a59, 0x33791665,
+    0xf87791bf, 0xb776715d, 0x8071fd31, 0x88432832, 0x0a17206a, 0x9028d636, 0xd4bc9f65, 0x8ace9153,
+    0xe2c55e25, 0x7e1e09d5, 0xb4573d04, 0x4e1bfa89, 0x03b57c05, 0x3737cf3a, 0x872d8983, 0xa1fd9795,
+    0x5f275844, 0xe3d1a6b7, 0x03c642a2, 0x7266a2f4, 0xb325202b, 0x6920f8b8, 0xa1e8ac75, 0x7f448389,
+    0x925b035f, 0xf2051a7b, 0xbcf22ab9, 0x9eecbf06, 0xb9ff7863, 0x225bcf92, 0x099ae772, 0x671d99a9,
+    0x543a6a0d, 0x690360f1, 0x11ac22a2, 0xa804e8b4, 0x4511129c, 0x19be2834, 0xd22ae341, 0x05303ee4,
+    0x56ee1c61, 0xc7625329, 0x1d7b0ab8, 0x5cab4a6e, 0x9dad8bab, 0x1f5a3469, 0xc7a8cfea, 0x63d2620d,
+    0x3b3be1b1, 0x1bad83a8, 0xc7555e7a, 0x071f1414, 0xa647f4f7, 0x7acfa11d, 0x246b4f50, 0xf0f2cead,
+    0xeb651a1f, 0x17bdb89f, 0x84ce0199, 0x15a6d8cf, 0x9600e756, 0x158d2fe9, 0x01720c78, 0xe7fdb97e,
+    0xc37f93d3, 0x620c1b15, 0xb3951c9c, 0x9ed23c71, 0x2fd755c0, 0x6fcb2a30, 0x6ea27792, 0x05ac66bc,
+    0x46f049c3, 0xc86fb1b5, 0xb7ec9068, 0xdba44d50, 0xf59db304, 0xdc8d5e18, 0xc218795a, 0x66728e5f,
+    0x25d122fa, 0xb7099629, 0x1745b4df, 0x3c1f02af, 0xfe129e2d, 0xc7a4c7b1, 0xa3bbe4a2, 0x7b43dd21,
+    0x33a01e2c, 0x42e37579, 0x76a8b49c, 0x4a517ca5, 0xac1dc7e2, 0x0ba7e83c, 0xe9561815, 0x01500ff6,
+    0x17b99817, 0xd5cb7144, 0x83fb9140, 0x4e5eba32, 0xa0486e39, 0x4ff8aa9c, 0x121263cc, 0xa871f661,
+    0xf3a0c178, 0x230e0d2a, 0x9e269d05, 0x4c391658, 0x4aa24d69, 0x5641a84c, 0x1c66f16f, 0xe4c4aaeb,
+    0x0f386fc4, 0x74f47771, 0x5ec7c826, 0x4bbf573d, 0x97f7383b, 0x0b4c1974, 0xce4bf0b8, 0x85379df2,
+    0x1db23032, 0x6b803ce1, 0x7628610e, 0x7b7285d8, 0x69e15dac, 0x938da3b9, 0x3fe671d2, 0x4112a21c,
+    0x5ed35fc0, 0x2e935a9a, 0x4ba4b3bc, 0x71c7e3b5, 0x0ed33083, 0xfaf0580f, 0xdd187ed5, 0x11462b9a,
+    0xfda4e71a, 0x5cba1404, 0xaf6aab6f, 0xbcd3da1e, 0xca34b4cd, 0xfec75d22, 0x484c365a, 0x2ca30b13,
+    0x070f4fa7, 0xe25efb42, 0xc8c500b9, 0x3077b92e, 0x2b473cfd, 0x7ac509eb, 0xdae75176, 0x39e5205c,
+    0x8c4d1978, 0x928c05ff, 0x265e9225, 0x60cd64a2, 0xb1f1942b, 0x4d3d83e3, 0xba7dbea7, 0x67137ce0,
+    0x637cca99, 0xb47c0675, 0x1b65451c, 0xde31826b, 0x1bf8c14e, 0x82973e4b, 0xbed65455, 0xc19b2013,
+    0x4da2e253, 0x2cdbf4c0, 0x676de382, 0xee0b6bc3, 0xa6c8c741, 0x3ea62937, 0xf92aa4a6, 0x3d66eafe,
+    0x93245d0e, 0x668990dd, 0xdd98469b, 0x2d5f913a, 0x9e92ee61, 0x964a8b99, 0xba5c6806, 0x8fbdc387,
+    0x09dcef9a, 0x985f9f6e, 0xa1ddd215, 0x3495a05e, 0xff671ba9, 0x9da48303, 0xd2e0fc32, 0xd0655a01,
+    0x3a7fcba6, 0x508f7f5e, 0x48ff5522, 0xaa85634e, 0xd6a09786, 0x61d1001d, 0xcf942df1, 0x2128d6ff,
+    0xa10cc194, 0x58b8a962, 0xed2698ee, 0xab2b672a, 0x4ea95dcc, 0x540c6824, 0x503f8214, 0x4613928c,
+    0x81a0bfca, 0x638eb3d6, 0x6768e09b, 0xa71a0004, 0x3de68c3f, 0x98f84523, 0x6b2dc41d, 0xa6657814,
+    0x2d56a3d5, 0xcbdf99f8, 0x98833535, 0x4ac5ef6b, 0x622a618a, 0x5d9d06b1, 0x24bf58c0, 0x95649f03,
+    0xa7d5bbcb, 0xd89b418b, 0x4178e9de, 0xc4a20bdd, 0x7c881fe4, 0x83472b77, 0xc502e994, 0xcc8732e7,
+    0xc49fd6f7, 0xeb67d62d, 0x73771fc0, 0xf4c01bba, 0x95ac04a3, 0x51e3839c, 0x0703de5e, 0x26fd3418,
+    0x46a2c0c2, 0x90fb6b0d, 0xc74647d9, 0x896e7e16, 0x69d6e84d, 0xfb2a2208, 0xed1ac38a, 0x4766f956,
+    0x5ae3284b, 0x55e93be5, 0xe8ccd935, 0x832b533e, 0x92b21f90, 0x44de9686, 0xd904bee7, 0x433b4d11,
+    0x4ef9e836, 0x5ff7ca34, 0x91c69e23, 0x75260592, 0xe581de92, 0xfd1465b5, 0xb0944388, 0xc9c888bf,
+    0x07f3ec91, 0xd6df0554, 0xed2caa8f, 0x321b91a9, 0xce5f05f7, 0xefd48c29, 0x16d4c448, 0xe6523fb3,
+    0x7ae86bcc, 0x06bd97f8, 0xf6441835, 0x2d2ca58b, 0x068df660, 0x4621013f, 0x37e80735, 0x0e4abc7f,
+    0x1cd46c99, 0x324b0733, 0x7b086e3a, 0x52fd0902, 0xb9f89e67, 0x5cb0d3a4, 0xccc603c8, 0x617b29a4,
+    0x406eda74, 0x41806ffc, 0x9649c39e, 0x5cb5ccb1, 0x1dcb7105, 0xb39696f3, 0x19860173, 0x66344560,
+    0x01184164, 0xf6957d2f, 0xcbddcbaa, 0x590fc23a, 0x4102ac8e, 0x16bff11e, 0xb516788f, 0xc652c5a8,
+    0xcd066604, 0x008db4d0, 0xf3f6c4f4, 0xeb797eaa, 0xcc51730e, 0x0d9c0b90, 0xa4a89ea9, 0xee9d117a,
+    0xe14767d0, 0x87feb63c, 0xc46ac70a, 0xcf74f1b2, 0x5d55f638, 0xba76792c, 0xdc3bce2a, 0x77f5f252,
+    0xdfd744bb, 0x17f1ff38, 0x410f31f4, 0x8ed5c0b8, 0x88da6ea3, 0x46dff3c5, 0x1200d0cb, 0x3d91ac50,
+    0x9fc2fc7e, 0xe6fb6947, 0x45d05c81, 0x80f754e6, 0x6495127e, 0x0677eccd, 0xf2bcc4fd, 0x449a86f5,
+    0x12a6a59a, 0x5bc6ec08, 0x83209eb0, 0x85f9e451, 0x22450c23, 0xcd8df1ce, 0xc45db7ab, 0x8163789d,
+    0xb6a6b577, 0xc7eca7e3, 0xea2a917a, 0xc0b66527, 0xa4e78479, 0xa51cb03e, 0xb2830021, 0x45c3a32f,
+    0x5ec2de56, 0x23ef7068, 0xe1ce2553, 0xa34f3e35, 0x670f0593, 0x91e46a7b, 0x97df15f0, 0xc7df64e7,
+    0x017d99e9, 0xe8707a45, 0x2e5574fa, 0x0c307fdb, 0x72b3470a, 0xd75e7f03, 0xc0260544, 0x60609ab5,
+    0x3976539d, 0xab95e781, 0x87afe0c2, 0x7ae168fc, 0x1aac152e, 0x8962717a, 0xb53c4d63, 0x714dd056,
+    0x7b93e13c, 0xa3fdb06c, 0xd79f3d68, 0x2cef3c62, 0xef3f2fac, 0x08365373, 0x2eb432e3, 0x5e8c0de9,
+    0x66d88692, 0x78d26602, 0x65bb85e5, 0x9840d1b2, 0x7ec24913, 0x179d1860, 0xb4cb6113, 0xf0005e2d,
+    0xe5f9bd37, 0xe23a65ae, 0xd90ab507, 0xb9052d94, 0xc9b8f496, 0xa17befc7, 0x8036d28c, 0x6013e7d5,
+    0xe6b29dbf, 0x77f1ce95, 0x7e859b9e, 0xe1c9cab9, 0x1f122aac, 0x4fe20127, 0x48bb187a, 0x915de840,
+    0x5f0fa7e5, 0x38e48641, 0x89e3fbee, 0x0f15259f, 0xbc61e6e2, 0x7207d4c3, 0x543119a9, 0x22b91c41,
+    0x93abc3f0, 0xa4b4dcf7, 0x36d0dac2, 0x84fe700e, 0x1c5806ca, 0xefbc6eb4, 0x5f77fe1e, 0x41f20dda,
+    0xc2ad916f, 0x5375bcee, 0x09ec58bf, 0x08af470c, 0xe8db8246, 0x75c7659f, 0x8655f747, 0xb93ee3d8,
+    0xdfc9dc8d, 0x01ece27e, 0x50d90168, 0x65dc7f6b, 0x1a25419e, 0xf887f0bf, 0x9fd9cc85, 0x934c8df3,
+    0x509f3a29, 0x6a59e223, 0x90180282, 0xc843234c, 0x30d78f11, 0xf67abbb3, 0xc160e7d2, 0x3bf25d96,
+    0x65dd1577, 0xa93f0fb4, 0x12b0e186, 0xe96f938f, 0xa4b6c685, 0xd00d7636, 0x246a1fed, 0x74689818,
+    0xa75af9ea, 0x16585c6d, 0x6bc81b2b, 0x05112de4, 0xe595ffc9, 0xc3d73085, 0x17baf27a, 0x6212608d,
+    0xad87d443, 0x30ac3ecd, 0x956ca523, 0x4d1d73c7, 0x50e1d9bc, 0x57eb2536, 0x94610646, 0x8458ccbc,
+    0x8a10c4ea, 0xd6edc17c, 0x2c08b918, 0x12e11848, 0x5b6aa9fd, 0xb554a8ea, 0x474899e9, 0x96f7ac8f,
+    0x4f8e533b, 0xa9ff1d95, 0x61c7ec9d, 0x2ac95830, 0x9b8532e0, 0xf5e7d2c0, 0x5381416e, 0x123fff1a,
+    0xb6784cde, 0x51a22608, 0xda8f95c1, 0x67ca0cb3, 0xcd2fbc93, 0x496a7514, 0x8d2674ab, 0x57149894,
+    0xc57d94e8, 0x52c1d4bc, 0xe2d97889, 0xc061d63e, 0xdd454a88, 0x78af66c4, 0xc4541094, 0x8225d1b1,
+    0x69844d2b, 0x2984a2d4, 0xd83a8178, 0x0e7fdc65, 0x1425b1b8, 0xee29fe55, 0xf40553b8, 0x4fb4e6ae,
+    0x56573365, 0xc7fc2322, 0x6424ccfd, 0x4c74327b, 0x02996309, 0x8c7c270e, 0x6f1b7f4c, 0xebf2b795,
+    0xf1cb787c, 0x9a492c4f, 0xc92a0124, 0xf9fc3c23, 0x49e8b3fc, 0x1e130485, 0x32f667bd, 0xab63f3b1,
+    0xd8abbf11, 0xa4b36cfa, 0xe511a996, 0x0d60f2c1, 0x67e8eae8, 0xbb0d5cea, 0x048f521b, 0x7467cb29,
+    0x27850651, 0xe070cd1c, 0x0b919862, 0x45db96c1, 0x918d9e59, 0x9dac1f21, 0x02b379dd, 0x21e07af9,
+    0xead5af96, 0xc12648f6, 0x50047b25, 0x83acae21, 0x26f529eb, 0xbc7ba316, 0xf74392aa, 0xafd895ed,
+    0xd86ae41f, 0xd5c38e3d, 0xe634fca4, 0x062f1f42, 0x7a35bbc8, 0xb551a044, 0xa0eb5e5b, 0x74ce6d4d,
+    0x2496b67b, 0xa3dd18c1, 0x6f9c0e4c, 0x86b44cb8, 0x876d767b, 0xc8a320d5, 0x8ed9df94, 0x997bdb4c,
+    0x649295b0, 0x4f86d569, 0x8324492c, 0xb748773a, 0xa7b46664, 0x7ce51b9e, 0x071fd58c, 0x6603eb34,
+    0x3972588b, 0x3e71439e, 0xd5685cf0, 0x8cc87327, 0xf96c78d2, 0xb08d0b9c, 0x386ddafe, 0x5185a571,
+    0x22ca75f2, 0x9cd791b2, 0xf6c4c103, 0xdac9cfbf, 0xe3de35fd, 0x6e8c76f2, 0xd542113b, 0x8c5db2ef,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000022835963083295358096932575511191922182123945984 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7eda, 0x66cb62ae,
+    0x00000000,
+    0xf64df7d3, 0xedc0d4cf, 0x32429dc2, 0xbac4d15f, 0x5f14a425, 0xc147ee72, 0x4d3172d4, 0xe7c5b87c,
+    0xb18230b2, 0x1b4e2817, 0x768db567, 0x751d77ec, 0xde2fdf5b, 0xea23e6dd, 0x036cdeab, 0xbcad933f,
+    0x2f1fc322, 0xce499eec, 0x7c2de02f, 0x3b34d57a, 0xe2de4293, 0x39558dc5, 0xd09dd5f0, 0xbb5af72f,
+    0x6a5baf2f, 0x019713ca, 0x59b12b48, 0x6c743896, 0x74276342, 0xaf0737a6, 0x149f99a6, 0x5eb214c2,
+    0x7b8745f3, 0x2ff4911e, 0x5b5da551, 0xc7675747, 0x654ea0d4, 0xdd4ecbce, 0x89d5b84b, 0x21478fe4,
+    0xc15f179c, 0xf706460c, 0x2dd343f1, 0x839a1f60, 0x617d00ef, 0x6c840f88, 0x91da7af4, 0x81a22fa2,
+    0x4396aee0, 0x78a83501, 0x4dca7d8c, 0x5c3e944f, 0xbce70d71, 0xc702156c, 0x63fd0c84, 0xbc1e5ffe,
+    0xd2552f77, 0xf2b09817, 0xa0dc51b5, 0xf9a8407e, 0xc6ffc04f, 0xb119c9c0, 0xe104ee51, 0x170f0405,
+    0x2d44cf86, 0xf0d6a9ed, 0xcab00f9d, 0x323ca7b1, 0x902eb2a6, 0x1ba0a259, 0xabec434e, 0x22d93f15,
+    0x931d7ef3, 0xacab5c9c, 0x0d4533b2, 0x65987c41, 0x91015a82, 0xb4ac7794, 0x712dd2a6, 0x60c9e8a5,
+    0xd6dc7deb, 0x00c97b96, 0xfaa6f5e1, 0x66c3557c, 0x2e721807, 0x9ea5576c, 0x37cc37ca, 0xc432910b,
+    0x5142d4ae, 0x4ed1925c, 0x3ee5fe87, 0xaddabe76, 0x51f60b38, 0x0841b4a6, 0xf8dd89ff, 0x8bcbb2f2,
+    0x97245980, 0x8d095c7b, 0x3fcb723d, 0xb8d4c357, 0x21066442, 0xa5f2c218, 0x3a0e52ed, 0xdbbe652a,
+    0x758cab01, 0xc66a4511, 0x1a5abb68, 0x53e88193, 0x2acb521f, 0xb71136d0, 0x75672989, 0x82adde73,
+    0x63ca6311, 0xde772818, 0x9ffff558, 0xef79a715, 0xe871910a, 0xb53d13a3, 0x3073e1b8, 0x8c0b0371,
+    0x4cd83ba3, 0x32be5c83, 0xa764b90d, 0xd70b4423, 0x9e9c8f78, 0xc878c885, 0x5c4bbc95, 0xcc79f5cf,
+    0x891b99f3, 0xd7fa6c0f, 0x0702b4b3, 0x32dd4e5c, 0x2764960d, 0xf8d39db8, 0x3338d70a, 0x63cd0ce8,
+    0x7c717332, 0xc3f01850, 0x3f962549, 0x39a311c5, 0x031d24fe, 0x768d0511, 0xd2002611, 0xabd74be4,
+    0x3e3292f1, 0xdd8689da, 0xd314c3b1, 0x33d90ff5, 0x50b60068, 0x14d3a146, 0x72c3b38e, 0xee943797,
+    0x58a2f5d2, 0xfb781be9, 0x17a7855d, 0xad863f10, 0x10156bd8, 0xb116da28, 0xd4830f41, 0xb9ee9878,
+    0x5bc8dbd7, 0x018e29fa, 0x49266988, 0x9ad77add, 0xdbf6e042, 0x86ea0437, 0xe1e69ca5, 0x313262b5,
+    0x6e7183f3, 0x489c7c2e, 0x935d6836, 0xd3e14d72, 0x099beb0f, 0x693d827d, 0xb7f72ecf, 0x02a9b796,
+    0x18f2fc7a, 0x4424f22b, 0x171d4fe3, 0x1bb51529, 0xb79e7211, 0xac0bbe73, 0xaad38b82, 0x66d07abb,
+    0xfaf05940, 0xc7739c9e, 0x4542d345, 0x92dd2e06, 0xd7158769, 0xd460299a, 0xc909b36c, 0x0420706f,
+    0x1145b482, 0xd4a1ab08, 0x36657f8e, 0x05c07ab5, 0x19de6229, 0xf1a72267, 0x0837e60d, 0xed164c67,
+    0xa8773d02, 0x92db2905, 0x439c81fd, 0xd51cb827, 0x40acb165, 0xb7d6c0e4, 0x331df053, 0xf5ad9760,
+    0xe411c4e0, 0x3b51092d, 0x3b53d1ce, 0xf8d9e0be, 0xe5ef5ab6, 0x304b1e32, 0x81e88d19, 0xeb80c07b,
+    0x57ccb62e, 0x4801b469, 0xe167989a, 0x9f727a8d, 0xe4b84132, 0xc22fcd92, 0x4841e246, 0xd97b84b8,
+    0x3552afe6, 0x84d0bc76, 0x0dec8a68, 0x79f03216, 0xc3178ec4, 0x6606b8e2, 0x76ccba12, 0x94f51d40,
+    0x10f7d7b7, 0x2af03b12, 0x15873d02, 0x7b76c433, 0x6241cbca, 0x7a0743fd, 0x4ae8692d, 0x0a126bb8,
+    0x9093a922, 0xab2051fd, 0xf93d743a, 0xb85333bb, 0xbddbf39e, 0x768c2d84, 0x7127cdc4, 0xe6e73b04,
+    0xd1524f2d, 0x6993a088, 0x9cc91e1f, 0x8acb9e9c, 0xc02dc02a, 0x69556139, 0x47661f37, 0x10ba5cc8,
+    0x8e057a9d, 0xb45ac1a3, 0x529eadc4, 0xd114b3df, 0x3baecb38, 0x7bd14e28, 0xb2d43df6, 0x22958d08,
+    0x20bd0aa4, 0xde7c3c8c, 0x6e2c04d7, 0xf1725bf8, 0x7b129388, 0x98c941a7, 0x1cc7df32, 0xab9b8e21,
+    0x18d3695a, 0x5a901c85, 0x7e7f61e9, 0x2dc67e27, 0x0cf3d98d, 0xb6b6a373, 0xa815e049, 0x66c5519e,
+    0xfaef2e37, 0x4618f197, 0x054b5d68, 0x06c8e2c8, 0x7c548a48, 0x19469602, 0x342ec826, 0xebd1196b,
+    0x1b3bc3be, 0xf6f69578, 0x6cd38f93, 0xf1fbef84, 0x212168d5, 0x536ad22c, 0xae7d6d6b, 0x14ca569d,
+    0xe875db84, 0x4dd9a911, 0x81f75763, 0x52f7681f, 0x8cecc839, 0x0e08c847, 0xf2def1aa, 0xe303611f,
+    0xa5cb5e51, 0x4c4c9fea, 0x9a7333c9, 0x0291ce91, 0xfc67c0dd, 0x0702e7e3, 0x67988c2f, 0xaacc3fb6,
+    0x55328765, 0x29cb5772, 0x1fd94bbb, 0x0ca0817a, 0x0cc37701, 0x43af5d97, 0x43fed7f5, 0x3e825d55,
+    0xf4d417ed, 0x2e69f165, 0x97dc65f5, 0x29126e55, 0x3f5f2780, 0x5a96ad97, 0xe5e74958, 0x8d3b4b8d,
+    0x3c7423e2, 0xaafd076e, 0x9fffc8e5, 0x41329fde, 0x8165b822, 0x7074cadd, 0x99c95b38, 0x8ababccc,
+    0xcfa3d918, 0x10ea4287, 0x7e91dc95, 0xecf32970, 0x7eaa58e5, 0x53d1f849, 0xf72a526b, 0x79e981cd,
+    0x86a2f3af, 0x8d748f6c, 0x93b846e2, 0x53ddcb49, 0x7c9c98eb, 0x6aeff03b, 0x6a7e8269, 0x4d586cac,
+    0x62871382, 0xcb4c594a, 0x72c2ceee, 0x2464fce9, 0x1087436b, 0x76cde56c, 0x34165e2d, 0x409e47ac,
+    0xd3a81af2, 0x52b8b417, 0x53a2499c, 0x14a6dfcc, 0x767f450d, 0x090504fe, 0xecb0eeba, 0x8e107656,
+    0x48ccc439, 0x7681ba1f, 0x90de6e9d, 0x3334b6ed, 0x6a5500c5, 0x83095b48, 0x99a0b114, 0x93db7687,
+    0x69455713, 0x82b86402, 0xfc269d67, 0x33d0f2ed, 0x3f4c3243, 0x6658a596, 0xd3bf98f9, 0xddbfe56c,
+    0x5101fdb5, 0xf87d4e7b, 0x835800b3, 0x257f9741, 0x9ec66079, 0x3f90fe0b, 0xa4800b15, 0x1e03233c,
+    0x9d6a8c36, 0xcbbfc5b9, 0xf1d73195, 0x3c734877, 0x2e5d1589, 0x95d14d0f, 0x5032a71e, 0x6f644b3a,
+    0xcd12b56c, 0x7e671792, 0x625f7b99, 0x8b658ec9, 0x29a64b90, 0xaf39791a, 0xdaadc998, 0x541ab19b,
+    0x9c6288ab, 0xd1a5f4b6, 0xd32c6496, 0x5319d8bc, 0x8336b9c2, 0x7920fae3, 0x0664f1a2, 0x99f62709,
+    0x67bf3648, 0x998a6f62, 0x61a63811, 0x5cb8516a, 0x6c0cc4bb, 0xa32d2aca, 0x01adf9da, 0xfc81215a,
+    0x71801a13, 0x7e403a2b, 0x07e8d325, 0x1543022a, 0xd1335ef9, 0xbd22b774, 0xb8d177f8, 0x80ee0f53,
+    0x0fa538d9, 0x8168eb00, 0x9872e661, 0x2f3eecb8, 0x67675d42, 0xbddaa406, 0x8b3d6cad, 0x51e1236f,
+    0x073618f1, 0xc7334a28, 0xc548f6fd, 0x324f2e4d, 0xff59c8d4, 0x077b8568, 0xac82f6f6, 0xb87cedc6,
+    0x42dd737d, 0xa9aa4d46, 0x852f25b8, 0x91018912, 0x6aa88efc, 0x5c5fa6f7, 0x9ce92233, 0xb6c09ce5,
+    0x6afa09ec, 0x2e799141, 0x486b616e, 0x9eb8d728, 0x94aee63b, 0x4800b864, 0xc471e909, 0x82abc848,
+    0x8b79961c, 0x8d84c89c, 0xdc111144, 0x43faecdb, 0x8af70b3b, 0xdc08a4da, 0xaa58e234, 0x8c9b74ff,
+    0x516abce6, 0xbd0f98cb, 0x563959f5, 0x6c5356a8, 0x758b65a4, 0xab3bc678, 0xfb2a1333, 0xa4b3da41,
+    0xc6ef1d83, 0x882cedca, 0x0dd8ad10, 0x2f24307a, 0x4143e627, 0x5d521de6, 0x5cf365da, 0xfe834d50,
+    0xd5e4f941, 0x24a4cff3, 0xabe3b041, 0x3fdffe4d, 0x012aa5dd, 0xd88031be, 0xa01c71c0, 0xbed4fb20,
+    0xb031553a, 0xcca5124e, 0x4623cc69, 0xb594a278, 0xf8525785, 0x28eddaf2, 0x18228f68, 0x66087da7,
+    0x2dc2817c, 0xaaf8f488, 0xf8945ec6, 0x42f2f473, 0xf8a26e85, 0x94da9359, 0x9b4acfa4, 0xbf777479,
+    0xb7fc778f, 0x814b6232, 0x5ef9c028, 0xae43481c, 0xff2265b1, 0x41292bcb, 0xf20ec1ea, 0x3f8640bf,
+    0x264404fa, 0x581730ef, 0x716913c4, 0x175a8470, 0xb4f5af29, 0xb9c9fcb1, 0x60e731d1, 0xdaf32d2f,
+    0x22326425, 0x93736614, 0x5208d78b, 0xc48d1285, 0xee38ebe1, 0x6e72fd8f, 0xd09d8488, 0x3e5c34e2,
+    0xb724f2a2, 0x0d6a8353, 0x6f1db0d7, 0xbaeb6ca2, 0x47c89702, 0x9453a89a, 0x8ae39c82, 0xfcd2a9f3,
+    0x175d8775, 0x8a8b3554, 0x2be095b4, 0x23cff5fd, 0x04614586, 0x63ce745c, 0x5bfce516, 0xffc5a6af,
+    0x453b4a52, 0x780ceb98, 0xe01161f4, 0x0daf17cd, 0x4227fe83, 0x4fb7d5a9, 0x6c0c9b08, 0xb9f5a620,
+    0x8c24b43b, 0x8c70a1fb, 0xb69f128c, 0xbb7f5169, 0x5e28ad97, 0x6707ac2b, 0xb5a149ca, 0x60d7d510,
+    0x8e3d524b, 0xb98a16e7, 0x73318fc6, 0xf7543a10, 0x5bf74419, 0x05b20711, 0x49525d32, 0x064a3e20,
+    0x770764fb, 0x22073de0, 0x4e0d225b, 0xe0193782, 0xde4aaaf4, 0x2d3a27e4, 0x7a8defa4, 0xda59ff27,
+    0x5f770d90, 0x7a58dd5b, 0x9e86cb6e, 0xb9fa598e, 0x2e801b07, 0x65d0e47e, 0x78486390, 0x78182f77,
+    0xa7db1fa1, 0xdd5fab9a, 0xd514f2cb, 0xbd656a9a, 0x46080c26, 0x707672d9, 0x4146721f, 0xbc2f4580,
+    0xbdb3f581, 0x707c0894, 0x7be8857d, 0xc52a300b, 0x72eb9233, 0x7644212e, 0x61eb11eb, 0x2fdd4dcb,
+    0x9daeac4a, 0xa5b1249a, 0x91d55cc9, 0x3046f201, 0xa019c87a, 0x5ba9e770, 0x2e6e50f6, 0xb34fb596,
+    0x8baadfec, 0x16589955, 0x54762e32, 0xb4a8e6ab, 0x78e77bd5, 0xdbec7404, 0x936879e8, 0xc4888109,
+    0x303e1a8b, 0xb16182c2, 0x7b2895a8, 0x8ada895a, 0xc9c11b5c, 0x5d29bf9f, 0x618f3c9b, 0xc5e73496,
+    0xbed0d8a0, 0x551ee66f, 0x6ddd14c4, 0x031c246d, 0xb5813010, 0xf96692c2, 0x80ac04c0, 0x04466a68,
+    0x1fda7dca, 0xb6e75c17, 0x17a299e0, 0x36043295, 0x6cbf8735, 0x06dcc9cb, 0xe285a2a8, 0xe46f39ba,
+    0x19b58821, 0x7887016d, 0xf85a28d0, 0xa36d0bbc, 0x217b41d3, 0x555f4587, 0x080f5e20, 0x63b08585,
+    0xc01f1d67, 0x3dc60251, 0x4b165b27, 0x8a16f554, 0xa16d6d5e, 0xa2cef6aa, 0xf61845a4, 0x9f774922,
+    0x0f25b371, 0x8c377045, 0xcfdd0d86, 0x6f771475, 0xe60deb50, 0xee80c989, 0x3b11be6b, 0x7a07fd33,
+    0x543f7f27, 0x9a5f57b7, 0x530546d7, 0xeb418960, 0x5210063e, 0x9a73ad5d, 0x1e18f0e0, 0x0d77057f,
+    0xa5e4e0a8, 0x72926016, 0xd68a8316, 0x4213ecfe, 0x27a9747d, 0xb03d9999, 0xe0267bbd, 0xb239138d,
+    0xc435f15e, 0x4f380f30, 0xc9e41810, 0xba4181ce, 0xecce5f18, 0xb64d3533, 0xe1f7a4b2, 0x769d766a,
+    0xb5298f3e, 0xeb20592a, 0x461ceb63, 0xbb05a933, 0x98735fd5, 0xcc06aeb3, 0x4ec4035f, 0xf901064d,
+    0xc132f122, 0xf7fe3f55, 0xe1cbc0ca, 0x8affedd9, 0x3975d9de, 0x5ed90158, 0x63acaca8, 0x3b12ee9b,
+    0x891301d3, 0x069927a5, 0xd866c78a, 0x2c1cd022, 0xf02b9d44, 0x8d80634d, 0xa3684a80, 0x952e2e9a,
+    0x892d61da, 0xd4671c03, 0xd12fac11, 0x6d92d46a, 0x3e5ee4fd, 0x8becd7ea, 0x1bc11d0b, 0xb3f77884,
+    0x8d128755, 0x75796448, 0xd4c82c4f, 0x6ae88a2c, 0x9304defc, 0x08c1cc70, 0x032e39ac, 0x18dcce1c,
+    0xbac532f9, 0xa2e88b37, 0xa5ee380c, 0x766ac87a, 0x8b17796e, 0x1aa52cc2, 0x8c044aea, 0xfa873752,
+    0xed4364da, 0x31f0391c, 0x82e61a89, 0x6f61d02d, 0x65604ebe, 0xbd708576, 0x56cdb7e4, 0x9cf29e73,
+    0xa8021f85, 0x1f480e52, 0xb2780029, 0xc30e9bb3, 0x26e6c355, 0x4fb7a424, 0x4022940b, 0xaa2bb68d,
+    0x9d5641c2, 0x917967b5, 0xbffa2ae1, 0x66af9097, 0x67cf9fdf, 0xac99d8e5, 0x3f740b5e, 0xb424c110,
+    0x58dd8ae3, 0x53d51894, 0xe530cf09, 0xa8972526, 0x322f7f49, 0x8550f78b, 0x685052e0, 0x59dd0398,
+    0x664f85c3, 0xed6f43aa, 0xe49fb7ee, 0xad6f9cd7, 0x94297278, 0xb32608fd, 0x1cbd982d, 0x62fbc128,
+    0xc39be3de, 0xfed60750, 0x514d1a55, 0xc1a2b4cb, 0xc39340c4, 0xb9a36b02, 0x5ef972d3, 0xde92f172,
+    0x1cdd8f19, 0x6c3bdfe9, 0x791c0250, 0x6fed79bb, 0x9e2a63d9, 0x5b1f0ed9, 0x2d987520, 0x477cb87d,
+    0x2755a951, 0x50e86b52, 0xa9f061ed, 0x64f05f01, 0x2e365eed, 0xd34d0871, 0xc7225564, 0xe38673bd,
+    0xef8313a0, 0x62bbf322, 0x6dbc2f15, 0xb97b0770, 0x784d8818, 0x8436563a, 0x06bce53e, 0x1b83f799,
+    0x1ca80410, 0x9b3ed59b, 0x74a41f3a, 0xf4b95cfd, 0x70be2171, 0xd7ede276, 0xdc8a3d92, 0xcf53fe7b,
+    0x679058b4, 0x86d6ad3d, 0x55eb7c7a, 0xb75f294a, 0x2fe5fb86, 0xa072a628, 0x7220fc8c, 0x0bd2cfc8,
+    0xe93dce64, 0x2d6ce598, 0x1ec9061f, 0x9a869f58, 0x084bac23, 0x833073a0, 0x80a0498b, 0x660a3d33,
+    0xf15a7c91, 0xbd0a8537, 0x9d18065f, 0x838cd069, 0x357b2cf1, 0xc16e2393, 0xda2dd561, 0x52f267a6,
+    0xc4330f49, 0x111629ae, 0x38847aac, 0x03d9a860, 0x48e8f4bd, 0x09db5e48, 0x72097bc8, 0xfc721548,
+    0x0eb1087f, 0x8c7aa0d6, 0x5e6fc061, 0xaff3bc06, 0x5d07a584, 0x44571c1c, 0x656df919, 0x97d86008,
+    0x14d330de, 0xa67fefd9, 0x0ffab70a, 0x5a21fa00, 0xa39efe0b, 0x59659c5a, 0x09d24246, 0x1b7ebe0f,
+    0x6e6e0393, 0xc108f77e, 0x43c3d9aa, 0x6a8b2907, 0xacaec3b6, 0x32fee40a, 0x1d65c0b1, 0x88d85d95,
+    0xf74e92e4, 0x9f715eae, 0x2cde04d2, 0xe5e49d06, 0xcbf8ebb7, 0x1d8ad7f9, 0xde89cb0d, 0x05a1eb61,
+    0x07a8308c, 0xeb19c552, 0x702136e4, 0xa1578d8e, 0x63d07268, 0x8f231da1, 0x62550551, 0x1c1a91e4,
+    0x6d545937, 0x8411cacd, 0xa455b89d, 0x4d6705de, 0x2cfaaf19, 0x61bded2b, 0x872778e6, 0x882196a4,
+    0xec486672, 0xa55c5466, 0x727e8171, 0x05d1da4e, 0x630a3432, 0x245aa8a2, 0x3a9e4d0f, 0xd5f2b680,
+    0x53d7ff0a, 0x508461fc, 0x6fc338cb, 0xbaf4a240, 0x52b96438, 0x9d21c343, 0x04d6c84b, 0xa49f5fcd,
+    0x86b68b98, 0x7e95382b, 0xf73bf97d, 0x796287c4, 0xb274a117, 0x1eb418a3, 0xd4a14e9e, 0x91c62820,
+    0x1f2311a8, 0xc8c8efef, 0x095e78e5, 0xf6ba2a1a, 0xd8010d1e, 0x64c765e5, 0xec5014b0, 0x7d464091,
+    0x85601bdb, 0x319a3200, 0xc1374929, 0xec218fd6, 0xfc92898e, 0xd130e168, 0xbf75d175, 0x9614863c,
+    0xd9a31638, 0xc0792b64, 0xfe95d612, 0xc7d036c4, 0x64a8c307, 0x43fecfe5, 0x315de26d, 0xface2f4c,
+    0xf0f85bbb, 0x2812a68a, 0x0e866296, 0x6cbdfda0, 0x6ddb8e09, 0xd5e21b67, 0xce32f704, 0x127b2cc7,
+    0xbbeb86f4, 0x0139d8d7, 0x83e1500e, 0x98e4a114, 0xcfb5c44b, 0x5350c272, 0x76d89cd8, 0x5695c07b,
+    0x695d1a53, 0xcfd5477d, 0xd87ec689, 0xccb9eb00, 0xb44d3dbf, 0x82d71470, 0x06de57b1, 0xcc0125f4,
+    0x1b7aaa21, 0x0bf89c0a, 0xd983d1f5, 0x7d593e46, 0x801c27b2, 0x803cc7f5, 0x972e84c7, 0xa5cf2daa,
+    0x63b43fd9, 0xfcb02253, 0x2bc22e9c, 0x7c77d72f, 0xd0d88441, 0x292bdaf9, 0x49d28a89, 0xba43c808,
+    0xcf152baa, 0xad0dba75, 0x696e4442, 0x91b19105, 0xeb51e6da, 0x1ab68294, 0x3aebf2bc, 0x35614104,
+    0x9808d9af, 0x3320cfa5, 0xecee0cb3, 0xc3e809bf, 0x29da9701, 0xed8825e8, 0xf45c183d, 0x38efb548,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000011417981541647679048466287755595961091061972992 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6d, 0x3365b156,
+    0x00000000,
+    0xfb1b0184, 0xe65abd21, 0xc64688eb, 0xe94726f7, 0x52beea64, 0x26b2504b, 0xb65adc3c, 0xca082b81,
+    0xce0f8c03, 0xb50aa9af, 0x610693d0, 0x78f7781c, 0x224e7125, 0xb899c6b4, 0xe05b4162, 0x6c44a284,
+    0x12d60a17, 0xfdc03119, 0x315c8e13, 0xaf334303, 0x4e3d3dfd, 0xc7919644, 0xaf5cd542, 0x1420925a,
+    0xa52f8a14, 0x64a29782, 0x918fe24a, 0xa871b29c, 0xbabf7d69, 0x9314937c, 0x79c99e87, 0x93d2b2ec,
+    0x99e31b5d, 0x62065fca, 0xee0cfe02, 0xe86488b3, 0x76b539f7, 0x3bfd0c50, 0xe6de1ecb, 0x20d1c712,
+    0x43f4ee60, 0x927c4b9e, 0xc2360d43, 0x6559d209, 0x120cc922, 0x187fee3b, 0x04c04b00, 0x76144c3b,
+    0xbd099893, 0xf8297f21, 0xa49b1a03, 0x690af595, 0x817ea5e8, 0x52d52c7d, 0x417404bb, 0x6148f89c,
+    0x9580b276, 0xa66095d9, 0x5cbbe0a1, 0xc88102f4, 0xa461f41b, 0x09ca4e86, 0xdeeeef79, 0x10d6d90f,
+    0x3984c816, 0x3bd5bbb2, 0x8d41228d, 0x014e4f3b, 0x93d3469f, 0xe3254351, 0xa30e6635, 0x16cf7dfb,
+    0x52ee3aa7, 0xaa632c7e, 0xa2dedba3, 0x817267c3, 0x592c418a, 0x1ea835c4, 0x222d1942, 0xb8aa12bd,
+    0xbf189bba, 0xce41a6cf, 0x15c74fff, 0x0bec5624, 0x1d9a016a, 0x54dfbf66, 0x1b3d893e, 0x6782fe61,
+    0xc570a2bf, 0x44132e74, 0xe10655ad, 0xaa7ad690, 0x9a116797, 0xb52dc821, 0xcb7c7c71, 0x28285b64,
+    0x47a7677d, 0xef1f792f, 0xd13f4a57, 0x8cbcd0d4, 0x06e5ce29, 0xb3183362, 0xca8308b0, 0x8c05013f,
+    0x5f873249, 0xed10c4cd, 0x8c67fa9a, 0x8283815d, 0x8fbbb755, 0xc34240cc, 0x2fe00498, 0x6b8377be,
+    0xf1099ecd, 0x66c5a0f7, 0x679cc705, 0xc5e59d74, 0xe861ae5e, 0x718b17a8, 0xe6c2b576, 0x899b2a18,
+    0x3a1d7b3c, 0x9aa65e40, 0x1588b10e, 0x04650a0f, 0x67fbfb21, 0xa5a7d6f0, 0x82a57285, 0xc235dcd6,
+    0x7c0fa157, 0xece9a4aa, 0x93b2b1b4, 0x251356f5, 0x84d87b63, 0x67bdb82d, 0xc9088655, 0x92e9a31e,
+    0xabba37f5, 0x250f5f11, 0xb51b27e8, 0x83fb4e7e, 0xc0bfe54b, 0xe8f38ff9, 0xb82c220e, 0x88d6c099,
+    0xa70ac996, 0x512db5dc, 0x42407476, 0x185841fc, 0x39440c26, 0x9cc0f51d, 0xac13302d, 0x9d7bfe11,
+    0x88012fce, 0x48ad8a5f, 0x7e97ffbe, 0xae49d950, 0x57a7ee91, 0xf1ca771e, 0x7ec37808, 0xaee2005b,
+    0xba4d5ce8, 0xe630b5cc, 0xe5c112c7, 0xc567c14d, 0x9ea7cc93, 0x0781b1da, 0x03da31ee, 0x37be5e2e,
+    0x0deaeed7, 0x58326197, 0xe11027c4, 0x2f869086, 0xb9410bd0, 0x309e8474, 0xffe6f626, 0xfd476a9c,
+    0x8a9250c4, 0x5aa8c485, 0xc9fb2aba, 0xba218504, 0xa7d0462b, 0x27eaacf6, 0x0de61731, 0x4a844e2d,
+    0x4295c965, 0x157c8cba, 0x94711e1c, 0x9298a379, 0xea174a4d, 0xa2973648, 0x3e71675b, 0x079c238c,
+    0x666da9af, 0xcdd64c02, 0x73707881, 0xf32f1fe2, 0x405ffa24, 0xae08c7bb, 0x055a8f80, 0x9a0af0f4,
+    0xb9810db2, 0x4d90141f, 0x82089ff6, 0xa293a0ea, 0xfac2b47d, 0xb3007a77, 0x946ccb42, 0xb1f4abe1,
+    0xb295316d, 0xeb3ab479, 0x95fbd34d, 0x28d315df, 0xce196e63, 0x198142be, 0xa52c847b, 0xd0e9cf45,
+    0xf1c95bd0, 0x39782195, 0x22fb9be0, 0x8f865199, 0x4cbdd69a, 0x684b3a19, 0x36fca284, 0xefe5036b,
+    0x1221fa65, 0x362e81f1, 0xe0008398, 0x9041abe7, 0xeec03c40, 0xad1f2fc9, 0x81efed8a, 0x3dbada92,
+    0x92e90ee4, 0xc228c5e1, 0xda11c460, 0x8cb9d802, 0x9d89fbf2, 0xd626087e, 0x5bf1ab6d, 0x7f32a0ac,
+    0x34f57e34, 0xf51c6081, 0x9438b1f3, 0x072de7ea, 0x925a552b, 0x2c1dece0, 0xfedeba28, 0x0e7be7f5,
+    0x0a6e460d, 0x3862152a, 0xb91a0505, 0xbab8c090, 0x6e5a7199, 0x43635eb3, 0xe3110c9b, 0x938dc3df,
+    0xffd1d5f6, 0x0f38f1f0, 0xd1bb8774, 0x5171a1a7, 0xd560ea97, 0xa6cf8db3, 0x2927d468, 0x5553f748,
+    0xe2ce9ec3, 0x78782930, 0x07647561, 0xf8a2e1de, 0xb2de038c, 0x263a3c67, 0x29de8c22, 0xc71bcdec,
+    0xc1070657, 0x57bf0a5c, 0x798dc8e8, 0xf8889698, 0xb63889ae, 0xad6e1eab, 0x1aba7a35, 0x85a66205,
+    0x96c1344f, 0x7bcadb73, 0x9aa1e165, 0x3eae660e, 0xafe79e67, 0x01078f96, 0x15c5850f, 0x36623f05,
+    0xaf512f44, 0xa3c9faab, 0xf01468b0, 0xefe54f3e, 0x54f90568, 0x0c0150d6, 0xe143f44a, 0xf3e41ac7,
+    0xa9ea5d16, 0x4dd456ef, 0xd509a99c, 0xa0f3c106, 0x27b91e71, 0x810b84f9, 0x56fb83d2, 0x8e064a07,
+    0x804ccf60, 0x7289a803, 0x36d8bee9, 0xb08b4750, 0xd96bb9cc, 0xba5862fb, 0x59f5d7b7, 0xbbc63f3a,
+    0x6d270a2b, 0xe01b42cf, 0x5d2ad40f, 0x72fd063e, 0x0cf990b8, 0xc8cdd063, 0x3f03d152, 0x97a362fd,
+    0x363459ac, 0x8e6fcb74, 0xb6c578e4, 0x131910db, 0x736b919e, 0xb7661516, 0x5de6c6b1, 0x5981a9a9,
+    0xda08f535, 0x86ed910f, 0x49b99d0e, 0x0178fbe6, 0xa1a80a41, 0x09e6af7b, 0x3c1a014b, 0x20de8b4c,
+    0x6ba0dac6, 0xed04abfa, 0xb91dcd3f, 0xd9f5b9d4, 0x32eb5b30, 0x28c75a85, 0xc23b495b, 0x3d02e6e8,
+    0x16646ff8, 0x7ff39a73, 0x508bfbed, 0x8988b78e, 0xfd242058, 0x70b4509f, 0x99adfd26, 0xcd0ac851,
+    0xad6905ca, 0xcad433fd, 0xe5c3b00d, 0xb259834d, 0x5471cb76, 0x3bb01250, 0xb4664902, 0x08045670,
+    0x58054e24, 0x70eeee43, 0xab816333, 0x6354d57e, 0xf61902aa, 0x70712c19, 0x7cc404e3, 0xbdaa71a9,
+    0xb64d7237, 0xfb141b78, 0x7614cf8c, 0x6dd52199, 0x113c3fa5, 0xa4e8ff70, 0xcc371b58, 0xe2af782f,
+    0x55541cba, 0xddbd569f, 0x16e319e8, 0xff4d8737, 0x14da8c51, 0x6cc4d5be, 0xa95e9d95, 0x5ffb16ef,
+    0x5e93c3eb, 0xc19719e7, 0x615cde80, 0x7639886b, 0xcc2139e6, 0x7e80a03e, 0xc3cb1b73, 0x31fad25e,
+    0x8e528b15, 0x5ef56229, 0x95376d9d, 0x6a5a971f, 0xa2446dad, 0x762ea931, 0x7470092f, 0x35df4fe4,
+    0x7b2c0e56, 0x1a3c05ab, 0xd8db6350, 0x2388e514, 0x94916094, 0x06997c1f, 0x98cfdd0a, 0xc936c1df,
+    0xdaa752f9, 0xaf6fe508, 0xd41146de, 0xf06831b5, 0x1b7510e6, 0xa1c54f65, 0x937e45d1, 0xed3b4fa0,
+    0x167411d2, 0xa0865bbc, 0x5998bfb8, 0xe7a6d404, 0xce2b9290, 0xb5136486, 0x69326b70, 0x6185e6a6,
+    0x93938ddd, 0xc24df312, 0x2eabe760, 0x37696e7b, 0x16232d03, 0x663ffeeb, 0xe89277e9, 0x4a104365,
+    0x2bd328f2, 0xae426a0a, 0xaf0d6746, 0xc358e5cc, 0xf53851b4, 0xa0314179, 0xd50cf858, 0x50515489,
+    0xf80d0471, 0x43b0ca2a, 0x40415b6d, 0xcfc02884, 0xb1dbe690, 0xd09a3211, 0x87173384, 0xdce79c87,
+    0x49f97676, 0x6f698646, 0xdeab504f, 0x08d6c791, 0x92f5db72, 0xc912298b, 0x3a7b6985, 0xaed80d37,
+    0x0042733e, 0xa1ed693f, 0xa170ddcd, 0x1df41c36, 0x630861f2, 0x07dcc873, 0x20a5b51e, 0xaa8032b9,
+    0x887f3911, 0x27676404, 0x0cd6eabb, 0x645dd23a, 0x68ac6af4, 0x4f474a0d, 0xc5ab51e0, 0xc78608e0,
+    0xf82197b1, 0x0eacff03, 0x955756c9, 0x95c50f9d, 0x4750355f, 0x5e851d6b, 0x120643c4, 0xf0eb968a,
+    0xd71860d0, 0x99374d5a, 0x8df0553d, 0xf545d7fa, 0x16a335be, 0x6c5485b9, 0xc04ce5d3, 0x0ba73425,
+    0xfcc85139, 0xe28f620f, 0x94113e6c, 0xbe2b787a, 0x26fc966e, 0x7d3b768e, 0x79962fe4, 0x1d4dc608,
+    0x0a24b32d, 0xad808189, 0xa48f83b2, 0xa32f47a2, 0x6a0e575b, 0x396162c1, 0xf51f56ee, 0x61b4e699,
+    0xfc88b0be, 0xacde5719, 0x48ef6ff7, 0xb2fba01f, 0x3a007d51, 0x5a59dfa2, 0xffc37ec7, 0xee95b882,
+    0x488e6711, 0x66fa1fff, 0xd4f2e33e, 0xf0cfc24f, 0x4a5ec13b, 0x2a4ec6fb, 0x9b8e2cfe, 0x8914ce21,
+    0xf4644e61, 0x283c11f2, 0x95d6b931, 0x578f0f15, 0x9e33453f, 0xea8cfdf9, 0x25da3b9f, 0xc2462101,
+    0xee0ed2ba, 0x4aa22278, 0x90f3a380, 0x61ce4ff3, 0x603ac165, 0x44336802, 0xb8e2627b, 0x18e7ce64,
+    0x6a3975bc, 0xb856d315, 0x24715004, 0xfda56b3e, 0x255d59d6, 0xe365a9e5, 0x3a9105d4, 0xef9f78ba,
+    0x3f48f2e0, 0x822f4c9d, 0x92198d76, 0x07f665dc, 0xa6a8dbdf, 0xc30e8650, 0xd8d6ff6a, 0x8604d85a,
+    0x6b6b396e, 0xaa761650, 0x4fefe16c, 0xe0858a60, 0x308ba24a, 0x6e38b0f6, 0x411eb25f, 0xa0c6cfe2,
+    0xb19ea073, 0x93aa4a9b, 0x036289f0, 0x4617f877, 0x20eba51c, 0x8b8aa6ba, 0xf92c055a, 0x4f4b3ee3,
+    0x9377510f, 0xad1af4e1, 0x2411d044, 0x067994d7, 0xfda199eb, 0x2cbdd7e5, 0x2282d9df, 0x73f52d6d,
+    0x32502a47, 0xefffcedc, 0xbccb59ba, 0x2cbad78e, 0xc60457ea, 0x38e534f3, 0xe7b8da6e, 0x9b3f49bc,
+    0xe2bb8f9f, 0xdccd49f2, 0x9d5af552, 0xe8fd157b, 0xf9d5ff10, 0x7d202e74, 0x4e83c404, 0x0c20a18d,
+    0x49ceaa3b, 0xc228f14f, 0x7058b441, 0x90b27cbb, 0xe9ed2f2c, 0x2ed1b975, 0x347ab5d4, 0xf6910782,
+    0xa33dd4b9, 0xdd395d39, 0x6161d89f, 0x95a09d3c, 0x3b288323, 0xc4afb642, 0x85d43488, 0xed620245,
+    0x204006c3, 0x3468033b, 0xd72b79cf, 0x2ddfac7c, 0x60121cf6, 0x51a3c102, 0x6c5f5f85, 0xd460e04a,
+    0x8deb4579, 0xf6575d6e, 0x6cdb298e, 0x29a91449, 0x5cdcbd39, 0x4aa379ca, 0x7d21a282, 0xcacde8fc,
+    0xe1dd1401, 0x11c3b674, 0xd6a57605, 0x0c572ba3, 0xbf170595, 0xb223c8f4, 0xa8d8a379, 0xb8ed5b70,
+    0x61a17341, 0xa3cdc290, 0x68673992, 0x1afd0909, 0x8011878c, 0x302c8139, 0x8fa09f2b, 0xb7b3cee3,
+    0x5aaaaaa0, 0x871e573e, 0xaf0e6387, 0xd6612a6a, 0x937bdeec, 0x81f6aee2, 0x2b3dcd03, 0xe643c663,
+    0x3358dc83, 0x7407e0d7, 0xf583a2b6, 0xc39b8dd4, 0x5e2f41cc, 0x708969e2, 0xe86334cd, 0xa488e625,
+    0xda3ad2fa, 0xfeb15a16, 0x418e39fb, 0xbd35502f, 0x4f7305b2, 0x8635dd6d, 0x1bab75e1, 0x70ce296c,
+    0x9a910c68, 0xc8b578d6, 0x41b3ee1b, 0xf2117e86, 0xf2465ddb, 0x2a24cb25, 0xaecdc5f7, 0x64a36166,
+    0x15e23ca4, 0x58f179bd, 0x434f156e, 0xcfc9866d, 0x6f6ee705, 0x9e904bfd, 0xe3b35618, 0x44f44ccc,
+    0xd15515b7, 0xf99a6dac, 0x002aafaa, 0xc3ee50c6, 0x40d3da03, 0xa80db779, 0xadd09985, 0x35e88763,
+    0x3666b2bb, 0x1ad0e4e3, 0xfc23efb7, 0x53732bdf, 0x59f9b855, 0x7b0f56da, 0x8e35d33c, 0x5e84a42d,
+    0x3a7dd314, 0xf781e56f, 0x3aab4e6d, 0x55af347d, 0x2a2e3640, 0x2c8a35f7, 0x6cd07d03, 0xd043de5c,
+    0x9bace69a, 0xe16a6819, 0x13f3b2ca, 0xb0a9ddce, 0x6bcf750e, 0x23bbaf9a, 0x5828b1c8, 0xd7031e70,
+    0x173b3211, 0x5379510b, 0xbc6b9ec9, 0x91128770, 0x2e8ea170, 0x2dc0f214, 0x3f68f142, 0x064a6cc6,
+    0xe8d8ab7f, 0xa07082a2, 0x8c900870, 0x4d551862, 0x591447fa, 0x16ea564d, 0x3e7213c7, 0xca105218,
+    0xd00b7829, 0x1173097f, 0x49d35683, 0x6e95a873, 0xaa8a15cb, 0xbe5b787e, 0x18ddf8aa, 0x113650fa,
+    0xf3a02a02, 0x717a34c2, 0xb3539ac2, 0xe0b046e1, 0x1a27fee8, 0x5533dc07, 0x017d1221, 0xf1d41d4e,
+    0x374aa60a, 0x49767e41, 0x0c8cf5bb, 0x23ae100b, 0xd75a7def, 0x799155e5, 0xcbf0dde6, 0x6758acef,
+    0x688cbc87, 0x9bf05cb0, 0x6aabeec8, 0x3ccbfcaf, 0x39902eb9, 0xd4472932, 0x45aa3c7f, 0x4a0240d8,
+    0x96c608d4, 0xfae2faea, 0x8dc0927f, 0xd0a92995, 0x44600e91, 0xe55a7904, 0x30e848fa, 0xac4c52f9,
+    0x31aa8b33, 0xd54e6aa1, 0xb26d77c6, 0xd50565b5, 0x4f8ef751, 0x3b546ecf, 0xfe57ab48, 0x464275c6,
+    0x0043c350, 0xdd1d4a4a, 0xe70145b8, 0x5a0fa9ee, 0x8899076e, 0xd486597a, 0x260f4236, 0xcaf4ec16,
+    0xcdde0c0b, 0xf504b876, 0x403c9600, 0xca13c98e, 0x37fc7f88, 0xe08f3dc1, 0xfaa066d9, 0x42759b9a,
+    0x167e51cc, 0x453afb7c, 0x15b885b9, 0xc910ee76, 0xeb4dad97, 0x12083e0a, 0x0ab4fcfa, 0x63d21796,
+    0xb6f90f16, 0x395d6a36, 0x5411f4dd, 0xffd15da9, 0xf7679c3a, 0x9a258f93, 0x5318ecee, 0x56ba33f6,
+    0x150f5ca2, 0x5e92fb40, 0x0b4b7779, 0xccff4654, 0x6965184e, 0xf592e9da, 0x82027ead, 0xde6c8541,
+    0x9aa46695, 0x4e8ebd40, 0x034ab284, 0x66b74303, 0x8081b793, 0xe8db5dcc, 0xea2b1ce4, 0xf3ba2a63,
+    0xe2d4eb04, 0x8c2aefba, 0xdd4e1437, 0xb17e2f76, 0x51f18c27, 0x90d2e363, 0x236c8333, 0x29487c1a,
+    0x12dcf1c1, 0x3b58e344, 0x6c1ce108, 0xed211b95, 0xa81dcae2, 0xcfb11a82, 0x7872d07c, 0xf07aec22,
+    0x111d9324, 0x1103ce84, 0x5ff0850a, 0xbbf75705, 0x6eeb93ad, 0x81e08f5e, 0xf506605c, 0x760f2c74,
+    0xe89ee4e5, 0xc954bad6, 0x7ae27f53, 0x259c3a3c, 0x8de7f60a, 0xcd7f53b1, 0x295bb6b6, 0x4d3a13ae,
+    0xe5957002, 0xfbf19df5, 0xee17cc09, 0xb934bf8f, 0x3b34ad3e, 0x8c0110fb, 0xbc8b9ca5, 0x775b7753,
+    0x11e2702b, 0x3c4c62ab, 0xd131cd96, 0xca4249b8, 0x2e15fa6a, 0x87b5b9cc, 0xd1377b71, 0x2ff36c58,
+    0x91bd84e4, 0xbf200632, 0xf195a09e, 0x68179228, 0x313b6d22, 0xa4b51097, 0xf146ab0e, 0xfba12158,
+    0x8f48f375, 0xa5bb81ef, 0xbea6b50c, 0xba5568a6, 0xe39f9990, 0xb6072036, 0x18c5acf6, 0x39c25ebb,
+    0x9bba129d, 0x65dc60e2, 0x438bd1b5, 0xf3e7352b, 0x5d6a21e1, 0x08e92cfe, 0x33679386, 0x2eb2e213,
+    0xfd40a349, 0x838b2d21, 0x15fe81a5, 0x5b19f2db, 0x2b6bb8ca, 0xae09adcd, 0x5c2e5a1f, 0x9f5b7252,
+    0x7a07cfe4, 0x56c8f9c7, 0x6d2b3e80, 0x048b2851, 0xe770bc7f, 0xfabcd45c, 0xbd4c9704, 0x4eec2a8f,
+    0xe37d2e75, 0xcec262d0, 0xde2f60ff, 0xff2d6402, 0xca635795, 0xef15fa7e, 0x7a54a1d9, 0x46256431,
+    0x3fe66c8e, 0xf27e7a02, 0xc8e56d55, 0xe1747b6b, 0x9d9643eb, 0xf72f32cf, 0x041d02e5, 0xa8b3a62c,
+    0x80cc9701, 0xe128d5e8, 0x19c97b5e, 0x70ae527a, 0x000f9f32, 0x59fd22ea, 0x2ca66ded, 0x645366a0,
+    0xf8c249a8, 0x6beb8b55, 0xde8c4a62, 0xd76fea61, 0x632d1954, 0xc3a6b5a6, 0x07e34722, 0x2b17da3d,
+    0x810e8c58, 0xe532e09c, 0x9b4012db, 0x390ea69b, 0xfd61124b, 0x9e5d2418, 0x7656196c, 0x82d7d10d,
+    0x92b7aed6, 0xa753f6b4, 0xc3c47e77, 0xf8912585, 0x7a496845, 0x7df36e96, 0xdb2449ca, 0xec7c5eb0,
+    0x82d3c4e4, 0x4febed2f, 0x5ba2c111, 0x6f1447ac, 0x1d013934, 0xda0a54a7, 0xe08f10be, 0x59df53a1,
+    0x538b8b86, 0x3d444244, 0x2003c723, 0x23af1f21, 0x679cc708, 0x8d7eb663, 0x51d50c64, 0x0a853173,
+    0x1e59b2d8, 0x6ad5a66d, 0x644fdbad, 0x15d72783, 0x1c36e6ad, 0xcfb70adf, 0x355196ec, 0x6366bf68,
+    0x6b06649e, 0x97b9da26, 0x016ef747, 0x3620fec6, 0x7df1cbe7, 0x29536d3c, 0xfb29a175, 0x62ea9b8b,
+    0xd192ba09, 0xfb29b440, 0x6721bf54, 0x9561727c, 0x8a25feee, 0x8b7f47a3, 0x72a265b5, 0xda27b6fb,
+    0xa25bc358, 0xe60bec4e, 0x6c64f560, 0x108dfa98, 0x78ce8411, 0xc6227f40, 0x8630538d, 0x65cb06e5,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000005708990770823839524233143877797980545530986496 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb6, 0x99b2d8aa,
+    0x00000000,
+    0xfd8a7abe, 0x66502439, 0xd44334cb, 0xf24a30cf, 0x4880784c, 0xa2c06a83, 0x9365f96b, 0x9752af3c,
+    0x01b55fbc, 0x1f78d82a, 0x859854be, 0x7f1ce5f2, 0x7507ca83, 0xb38eefe6, 0xf0020dcf, 0xd6529e2d,
+    0x058633fc, 0x55c5933b, 0x3cb19db9, 0x732e964a, 0xf552b3c1, 0xfd6a79bd, 0x186748f7, 0x35b97d9b,
+    0xe7712118, 0x09fbbd4d, 0x52991950, 0x2ea752fa, 0xdb9a973b, 0x12d10194, 0x0e6ecdb7, 0x85aa1751,
+    0xa9baca2d, 0x9ebc443e, 0xc0fb26cc, 0x5cf17f91, 0xb0eda4d6, 0x9ba580bd, 0x2073411d, 0xa8141270,
+    0x00d20cad, 0x9097f5ef, 0x0802ca32, 0xa72ab00c, 0xcb7bfbeb, 0xbae6c6b9, 0xe4fd0a38, 0xf80f53be,
+    0x4a8d8fbe, 0xe839dbd9, 0x21306c2b, 0xd4039be8, 0xb5e5a10f, 0x32f422e3, 0xfe3ca6c1, 0x97592621,
+    0x1e3f8d87, 0xca0ec440, 0x72afd2fd, 0xb341238b, 0x7f538494, 0x45400cc7, 0x5abb2b4c, 0x4f91ae01,
+    0x5140ebb1, 0x9dfff314, 0x35e8f612, 0xdebba66c, 0x677bbbd6, 0x2c03a51f, 0x1d6f808c, 0x218ac37f,
+    0x0b04b1d9, 0x95804047, 0x6774e0e0, 0xc3a8fec4, 0xcdf907ee, 0x3e7da896, 0xff650a5f, 0x87d66662,
+    0xb44ac465, 0xede033ec, 0xce0302c4, 0xd2be310c, 0x9d3cba37, 0xa73e3ddf, 0x60fc7bd5, 0x481d5e92,
+    0xac93b061, 0x925d28c8, 0x7efbd2aa, 0xfb0da182, 0x4e098e13, 0x35a9c009, 0x7a646651, 0x60f618fa,
+    0x78305462, 0xeab8435b, 0xb90ae4c0, 0x8d89598c, 0x9f888cf4, 0xad947748, 0x65072d14, 0xeac89399,
+    0x7abb25fd, 0x032c3ad2, 0x284f1f5e, 0xd2ef4419, 0xb0b4eef4, 0x0e1fd8a7, 0xda98ca2a, 0xb28392bf,
+    0xf266981e, 0x15d24ca0, 0xfffc1902, 0x90ca1a1a, 0xf74caa54, 0x50b6011f, 0x21829d24, 0x71100f0e,
+    0x19c1ccb9, 0xdebeec83, 0xf3828326, 0xf864882d, 0x74133054, 0x38d87e95, 0x9a961f51, 0xfdf134bc,
+    0xbccf24dc, 0xed7a1cbd, 0x4df920f8, 0x941f6885, 0x61c18462, 0x9b2bcd2f, 0x8f833c4b, 0x8f0493d5,
+    0xa64490d4, 0xa8c787a3, 0x3157e0c3, 0xf7ad5afb, 0x0fbf8542, 0xac03c72c, 0xb606b09a, 0x2f5290af,
+    0x0b82d9ca, 0xe2fd1c8a, 0xda6012df, 0xb9f04fe9, 0xaa386a6f, 0xb431ae1c, 0x1a2d569d, 0x385a7ffe,
+    0x1a201ed9, 0x7e2c37ab, 0xdf17ee30, 0x2ee09514, 0xc8e00665, 0xa7253dd7, 0x50c79956, 0x42d6d3a9,
+    0xa71d3dcc, 0xbca111b0, 0x39da7227, 0x81a62d86, 0x405dc6aa, 0x0cfd0d0b, 0x91e31c07, 0x91e6770e,
+    0x332de80f, 0xb252f83e, 0xe0ef86c6, 0x98b57c7a, 0x5aad11c4, 0xca942e36, 0xc780c9b2, 0x6ad89456,
+    0x35510649, 0xd3c8da00, 0x67015c92, 0x23d3b939, 0x1c65c3bd, 0x1f7cc741, 0xc2196156, 0x371b1e5f,
+    0x4577ab80, 0xc9959b72, 0x8926290d, 0xd6d2ecf5, 0x53e11460, 0xae3200c4, 0x2218a654, 0x21cf7653,
+    0x5933417a, 0xca0d6350, 0x32b7e3cf, 0x054a0523, 0x98b76a7f, 0x35956fbd, 0x15478851, 0x21514d80,
+    0xbf11b500, 0xa8fe70df, 0xee93e0f8, 0x578134cc, 0x8f216044, 0xed37f339, 0x2cce76cd, 0xca1dea97,
+    0x340075ef, 0xeac9df6e, 0x05beca0b, 0xab6560e2, 0x0aaca5f6, 0xf6fce2bc, 0x39404159, 0x3d014770,
+    0x6cdf2c46, 0xca06f842, 0x81e0584a, 0x2b947971, 0x1dff78a8, 0x5087ef64, 0x28cf9c89, 0x5b268261,
+    0x77a87c79, 0xa3a7621b, 0x27b4917d, 0x294dcc69, 0xa4f0a016, 0x41c33dfe, 0xc273e48f, 0x0f28688f,
+    0xd6049639, 0xf57d904e, 0x9fe696fa, 0xa260168e, 0x18fe7832, 0x3f7ab69f, 0x6aa60d6a, 0xc1b35113,
+    0xc3904614, 0x0a838011, 0xf963c8f9, 0x6c25361e, 0x79fa3846, 0x3fc87d42, 0x18e6a15c, 0x71dcc4ae,
+    0x2ad7e107, 0x2edb3262, 0xe7dc024d, 0x9fb20f0a, 0x870822fc, 0x38edd261, 0x8a8cced8, 0xf5e2d5af,
+    0x0679c3e8, 0xd3ed5cb4, 0x6b023ea0, 0x450d9c10, 0xe79d7415, 0x0f0549ae, 0xada9a3a2, 0xbb4dee5c,
+    0x2fcd8b14, 0x98151f34, 0x7b928fba, 0x4f6b90a8, 0xdaae499f, 0x50061cef, 0x8d8f1358, 0x9e8752a0,
+    0xffec540b, 0xa8a9bb82, 0xebaa277a, 0x1bcf4ade, 0x7dcfa758, 0x60f038e2, 0x850db574, 0x7484b498,
+    0xe354e1f6, 0x7f43997f, 0x2faa9b13, 0x9e0e1630, 0x90556370, 0x4e584ba9, 0xeec22a44, 0xa5e0db4c,
+    0xb1151c52, 0x9ab68bfb, 0x2362d016, 0x533c3af9, 0x8a7950e6, 0x2da5d72c, 0x72feeb44, 0xf69f14cb,
+    0x891ffacb, 0x1fe90749, 0x9d4f0fb0, 0xdc629793, 0xe1cce868, 0xc84a3c74, 0x3dc43b36, 0x1e853ff8,
+    0x423dbfd3, 0xe8701dd0, 0x5ea3a931, 0xf519d56e, 0x33f94e8d, 0x162f1fdc, 0xbb50e65c, 0xe44bf964,
+    0x70293fc9, 0x0fc5316d, 0x5ee55ca4, 0x1a9ce937, 0x9eeef15e, 0xc49988d3, 0xd4f6377e, 0xc889d138,
+    0x2f67218f, 0x1443e5cb, 0x08bac06b, 0x59f824b0, 0x0db5895f, 0xf9eae5cc, 0x538ec9a8, 0x968da595,
+    0x06294dc2, 0x973d70f6, 0x8e29b041, 0x92b71db3, 0x23eedfd7, 0x1c7c0a44, 0x79f25bd1, 0xaead6e1b,
+    0xe43bbf54, 0xd2e95083, 0xf9544c77, 0x89753494, 0x1089c7fe, 0xdd40319f, 0xe4a0a5f0, 0x26193f18,
+    0x0a4480de, 0x62d0e9b2, 0xe7cef993, 0xe9fd1b99, 0xf79230d7, 0xe0c8430a, 0x9c938e3e, 0x2cbdd467,
+    0xe30cba2e, 0x3b368d75, 0x589337ee, 0x457ee239, 0x206ad842, 0x4fa69db5, 0x98912caa, 0x8d8f4318,
+    0x036f4a4c, 0xace74671, 0xa388be90, 0x7173da92, 0x570aa73c, 0xe002d8b4, 0x361d6d98, 0xb574a276,
+    0xa25263eb, 0xde3b7359, 0xb14592cd, 0x1da26af4, 0x8b6e0c4c, 0x8e7f5b95, 0x86c30e5f, 0x7d75a0c3,
+    0xf9c81ad2, 0x3a17bcec, 0x9dcbf06b, 0xaebca090, 0x288b213e, 0x4e736fb5, 0x24f6c0e4, 0xb506193d,
+    0xe90c8853, 0x2deb74d0, 0x31b77ef7, 0xaecaa0cb, 0x349e8410, 0x02995ada, 0x1e0e8420, 0xbbd6d7d7,
+    0x6c87fa6d, 0xd6e074fa, 0xc2b5f46b, 0x799d3f01, 0x36d9667f, 0x3309747a, 0xb0a047c0, 0x5931a515,
+    0xe8be1647, 0x5f7c5291, 0xfa53b9ef, 0xae7d6ada, 0x8fbbf14e, 0xcf527135, 0xc5f6f4c3, 0x7dd2f2af,
+    0x6f3177f7, 0xf7594628, 0x2fe78cb5, 0xed010f9f, 0x32370fc2, 0xce18a5c1, 0xe230a763, 0x0a4783b4,
+    0xd137049e, 0x91c4ecad, 0xb8c9418a, 0xbd5b9006, 0xc125e8e7, 0x0856eb7a, 0xd8219e59, 0x50cca570,
+    0xc12310b7, 0xbd06ca06, 0x7077a4ce, 0x15e4b719, 0x01815ac3, 0x0abac27e, 0xc4ee3bb9, 0x6237e4ae,
+    0x9518b9ed, 0x2ade0758, 0x90844f57, 0xe16f619f, 0x8739719f, 0xbd8febdd, 0x1a31d0cf, 0x39c0d864,
+    0x64da1777, 0xcbc03ba7, 0xbf8f3a6a, 0xef273afd, 0x411bf33a, 0xff0c9563, 0xc46e4079, 0xd2381170,
+    0x378ae641, 0x89b41dbc, 0xbc96dbed, 0xd4c3e51f, 0x96b9dbd9, 0x73596fa5, 0x763f4f59, 0x28a3a2ba,
+    0x0bcf5df2, 0x3a75d05a, 0x08115bc4, 0x073619ff, 0x86425631, 0xeec16d85, 0xcd3d4612, 0x84c50bfc,
+    0x57354e98, 0x424b6071, 0xe1aeec94, 0xe9f9ba99, 0x51c15d64, 0xe0c28e42, 0x22475279, 0x330e5b61,
+    0xbb1bda95, 0x72011e66, 0x44e85399, 0xc1a9a6e1, 0x7ae8554b, 0x5337663a, 0x540380ef, 0x3511585c,
+    0x97d4425f, 0x4310bf96, 0x9891601e, 0xb599d965, 0xad19722b, 0x28e5ea30, 0x1f44b674, 0x9c3de7a6,
+    0x2b1a87ee, 0xf205f501, 0x4d768828, 0xbd8bb5b2, 0xffaace74, 0x6a395267, 0x37070f42, 0xac4f401c,
+    0x434f2082, 0x8e1d4b92, 0x3b89cb7a, 0x70fb6524, 0x7b234313, 0x5dfc6528, 0x9efd5c8f, 0x738a6b45,
+    0xfed57654, 0x784aab60, 0xff3ae7d9, 0xb8d352ad, 0x32d911d8, 0xee560791, 0xd552830e, 0xbd78c65d,
+    0x9234b74d, 0x47230215, 0x6b396423, 0x884487b6, 0x5b76b465, 0xbd9433bd, 0x8fccd2b8, 0x08d786c4,
+    0x654228a2, 0xb95fe84f, 0xe2b94786, 0x22df3f41, 0x249becba, 0xa11d8fa8, 0xa3a967a3, 0xab3b74e6,
+    0x7ea4c331, 0x2a0da3ba, 0x1bb3f58f, 0xc109e73d, 0x549a1b63, 0xaeba7a05, 0xb740c23f, 0xb2877a4f,
+    0xbb041924, 0xfc90b5db, 0x1b4e04ff, 0xd68f36d2, 0x6156f9f9, 0xdef3dd00, 0x1b550a60, 0x1bb6e5ff,
+    0x720a99e2, 0xd69a08cd, 0xd35296cb, 0x76b0df66, 0x6334ab2a, 0xcd65a22e, 0x63b14969, 0xd4c157c4,
+    0x401194c7, 0x08215cdb, 0x15cb03ad, 0x371b907f, 0xfe8a3f98, 0x5320f8cd, 0x20da942d, 0x7269a678,
+    0x5b46c10b, 0x1a30b194, 0xeb752808, 0xebfbae51, 0x6a7541fc, 0x015d5749, 0x264022dd, 0x2d6d1943,
+    0xec31385e, 0x848df8bb, 0x9a01e930, 0x49887d49, 0x869ad78b, 0xc7e8bd55, 0xa7101564, 0x89a48351,
+    0x8fb3dc88, 0x61abded6, 0xce4d5043, 0x253ca0ff, 0xfd6644d6, 0x95c9569c, 0xe38d7df7, 0x538b7f53,
+    0x0688d0b6, 0x0c915603, 0x793213bd, 0x03d2aedb, 0x360efb73, 0x36927bb7, 0x05579a92, 0xff6673f2,
+    0x577197b9, 0x1e80ab9a, 0x78853703, 0x246ce137, 0x710bab9d, 0xc6c2177c, 0xa7f82cdc, 0xc00a8a13,
+    0x57b586ec, 0x4cb04dad, 0x33005a9a, 0x825ecc14, 0x78a4f4aa, 0x2f9deb9f, 0xcf251d3d, 0x0275c3e7,
+    0xb46dfdc9, 0xa3aeecb1, 0x1e92e2bf, 0x9348b9e6, 0xbf36ae89, 0x74ea61cd, 0xcd180b98, 0x0460e117,
+    0x45852fb9, 0xbe12b8ff, 0x15f708d5, 0x98a8dcdb, 0x3303daf3, 0x262219d9, 0x4a9f125f, 0x77da82cb,
+    0x62fca5c3, 0x068b1185, 0x28d4482f, 0x85048fb4, 0x4e1ac5d7, 0xcc36620b, 0xf5a5721b, 0xeb6608a2,
+    0x2297d9af, 0x81f8af68, 0x7e64da79, 0xfbb0bebf, 0x93003a0d, 0xbeee0186, 0x44aee1df, 0xdae46d25,
+    0xfa8f4885, 0x4317c564, 0x82eaaa97, 0xc7a2c9f6, 0x6bb18cc7, 0x79e99941, 0xc3c95db2, 0xbbe1f26a,
+    0x0e8b4d30, 0xfbc2da3e, 0x8dc62752, 0x8ae77ece, 0x2b2a9698, 0x49ff2647, 0x4c418d93, 0x9fdb529c,
+    0x0613967b, 0x7b64790c, 0xa4447bc0, 0x76349e43, 0xde7437c5, 0x373f19b4, 0xe7b44aac, 0xcc95a1b2,
+    0x2f6757c8, 0xf2bd01e5, 0x8d682cf2, 0x543e784b, 0x617dfd1c, 0x0bded90f, 0x1390326f, 0x94635151,
+    0x47ee4efc, 0x9979639c, 0x9c39953a, 0xabb19f80, 0xf393d045, 0x3cc69137, 0x20ff7f3f, 0x4084c275,
+    0x486a58f3, 0x89035a43, 0x448035c1, 0x22ab4bab, 0xe4d74321, 0xf164188e, 0x59d8e139, 0x9ab9a8db,
+    0x32c5fc5b, 0xc6c73fda, 0x9a69daf7, 0xf142edb7, 0xc523bd0f, 0x93896585, 0xa994f989, 0xd912e9e1,
+    0x464a3bd5, 0xfe8954ac, 0x957b15d8, 0xd33ec9a0, 0x2df6dbda, 0x80e856aa, 0x5b8cbeea, 0x90599570,
+    0x62797bd0, 0x6b1727c5, 0x940ef60a, 0x021c588c, 0x1fad6499, 0x1eec0865, 0x63c5d11e, 0x0020971c,
+    0x9a58d688, 0x61d76e70, 0xda4967d4, 0xbe8979e3, 0x3ae4a894, 0x7fcb063e, 0xec029fc9, 0xc5a107b2,
+    0xa64dcafc, 0xfe8c9e72, 0x3a0fc1cf, 0x856546c5, 0x91940170, 0x0292b5a2, 0x80f3cb46, 0x5edb4ecf,
+    0x0c469c2a, 0xa14ad803, 0xf09dc023, 0x6697ce53, 0xa35dd6be, 0xa142120e, 0xfceef610, 0x6b762e46,
+    0x36599063, 0x179d7b5d, 0xcb730e45, 0x9688b6d2, 0xde31048e, 0x4a77111e, 0xc89eeffa, 0x456efd4b,
+    0xe2ab9aaa, 0xd793ba3a, 0x00932db6, 0x2accfb8e, 0x95430797, 0xe13768f4, 0x297dedf3, 0xdbd6372f,
+    0x7fff6bad, 0xc2b99c79, 0x071a461f, 0x6ec77dd2, 0xdbe20a94, 0x8c2daffa, 0xf34925aa, 0xa7f98fcc,
+    0xe8d79334, 0xed547c46, 0x1a069df7, 0x113d6b32, 0x8436c985, 0xd30c04d1, 0x26bbc00b, 0x15cad618,
+    0xc9da0a7d, 0x3e2c3bb7, 0x6530b190, 0x87382faf, 0x36120116, 0x3165e77a, 0x19fe4586, 0x3a464bdd,
+    0x4757a1ac, 0xac23e082, 0x27529c72, 0xe395658a, 0x35e23d1a, 0x77da5884, 0x0a3e50de, 0x4d93d1ab,
+    0xd903ce67, 0xd137db6e, 0x207eff40, 0xb0fbf81f, 0x85d518a2, 0xdc5250db, 0x034eb5bb, 0xdb8487af,
+    0x9ac50fa3, 0x79095ed7, 0xd5c24bce, 0xcec8b642, 0xfd6401b3, 0xfe6e2a53, 0x20f151f2, 0xcb34e006,
+    0x7efa5e3c, 0x6103f0aa, 0xf126cb0d, 0xc0d5c5b5, 0x33e6630a, 0xaffb2500, 0x0e30c4bc, 0xf0f6c7cb,
+    0x6d10d94e, 0x11b44ac8, 0xd6f028f7, 0x5e926d1b, 0x74359f24, 0x01d075d0, 0x4699ff63, 0xbeb2bf8e,
+    0x2c343a1c, 0x16f2236c, 0xa9c138b7, 0xac3cb7e7, 0xcbf01f24, 0x84483f3a, 0x0a86c5a2, 0xce91b911,
+    0xb0902d7b, 0xc40dc191, 0xf1994d7b, 0x862a3927, 0x9fbf67bc, 0xd8683525, 0xfd3e8efd, 0x54dff7ec,
+    0xaad8540c, 0x25baeeb3, 0x3d5ac9a3, 0x5f616f2d, 0xe98c6707, 0x699c855e, 0xeb5f3724, 0xf7efd52c,
+    0x9a97494f, 0x06544e69, 0x3545f145, 0x159cf23f, 0x6066cdb2, 0xdcbdbdfa, 0x8edbbd99, 0x6cc64244,
+    0xb86bec25, 0x7c0acde4, 0x51c7db5f, 0x65bfb105, 0x239dd3a0, 0x7f5bac29, 0xe6ebbcc3, 0x09cfc06c,
+    0x7c8f5168, 0xfd145267, 0x24cc450e, 0x0861107f, 0x2807ddb8, 0x8ae91128, 0x098fef79, 0x56036edb,
+    0xe227320b, 0xeb3fb24e, 0xb37d1851, 0xd87bac80, 0x6c571f55, 0x81fb22c2, 0x1ae6fd50, 0x81a298cd,
+    0x97131c13, 0x8e8d0797, 0x84642702, 0xd9cd7a4d, 0xf5ee3833, 0x03458159, 0xeb508cb3, 0xa0b311d8,
+    0xb5bf11fd, 0x9abe0f4b, 0x615d3bea, 0x1b841a1d, 0xfce5645a, 0x7e0397c0, 0x1f969f6d, 0x00dd3ad8,
+    0x24f81ef0, 0x09a1b683, 0xe6973005, 0xeb3884ff, 0x7dd07af4, 0x5a519674, 0x025b642b, 0x965c3e0e,
+    0xf1a0f7df, 0xfb2522f8, 0x2fab1191, 0x01b3ff35, 0xb9e17e5b, 0x88972e66, 0x2a7354c6, 0x86da1770,
+    0x7daa9265, 0xe747afe4, 0x1498e98d, 0x0d6bad06, 0x84356794, 0xbeb18caf, 0xde168ad7, 0x9ae05a00,
+    0xd8abf73b, 0x427adbc0, 0x7cf1b155, 0xd392c9f8, 0x8ce65deb, 0xb0406642, 0xa19886a0, 0x1dfed2df,
+    0xc58eb890, 0xbc9ff1c3, 0xa60f58ca, 0xfa6462a4, 0x6648c8d7, 0x7b146feb, 0x9d562773, 0xfb38e1e8,
+    0xe6b6ffac, 0xb8a2f4dc, 0xc6c43f62, 0xa3ac1f78, 0xd7f70a03, 0xcc9f5d1e, 0x74288445, 0xccc70d87,
+    0x4c0a3b0e, 0x4119f07d, 0x12912c21, 0x87293b76, 0x9d0ad46b, 0xa8005959, 0x84e167db, 0xa4f6b849,
+    0xbe94cdd7, 0x05aaff1e, 0x8ada0351, 0xbd477736, 0x5f599b9a, 0x9adf7026, 0x8d3e5ee9, 0xa3321ab1,
+    0xa70f30a7, 0x7c61136f, 0xc4267bee, 0x6eb1b43b, 0x5efb9cd4, 0x6e11c1eb, 0xd8817e7b, 0xcab9aee7,
+    0x583a4e94, 0x01d460a8, 0xf325b51f, 0xab595931, 0x1f7d2b0c, 0x8ad0808b, 0x03e49a09, 0xf0259e70,
+    0xa62b3620, 0xdbd9baf3, 0x3af84f49, 0x89f1924a, 0xb8952ffd, 0x7eae0a2c, 0x4a0ce1db, 0x10826830,
+    0x4f051607, 0x4355980b, 0xa9e1614a, 0xe44e28a7, 0xd3dafa32, 0x7b3eb2d5, 0x5c81805e, 0xe0b08fdb,
+    0x9b4a6fdf, 0xb5e7230d, 0xd0e18cd2, 0xf465cae1, 0x270ade25, 0x1ef40333, 0x99746e94, 0xb5f3cd45,
+    0x1a584188, 0x4e63852a, 0x354fb182, 0x4d40fac2, 0xb6c6973c, 0x653deb87, 0x786788fc, 0xebba2bfa,
+    0x7500cd58, 0x53e5688d, 0x281a8c05, 0xd5780c5b, 0x73a3c292, 0x499be15e, 0xa69fe60c, 0xc9441fe0,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000002854495385411919762116571938898990272765493248 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafdb, 0x4cd96c54,
+    0x00000000,
+    0xfec47aee, 0xd4720e40, 0x4c859de0, 0x7053bd14, 0x0c998929, 0xf0c50829, 0xd84dee98, 0x132fa952,
+    0x9ace5ffb, 0x12f43eb7, 0x633559be, 0x3de2878a, 0x3cf4ef99, 0xd569a671, 0xce12585e, 0xb2f05df9,
+    0x282bdc3d, 0xc51aa8b1, 0x53689570, 0x565f1418, 0x0941ebe9, 0xd8415ec0, 0xfe6864d0, 0x970f8b2e,
+    0x871fc7b8, 0x5d3835fe, 0xd483fa04, 0x2f734018, 0x991666cf, 0x9e0efeeb, 0x0da90b0d, 0x0ff67c44,
+    0xdc9b9ce3, 0x0c5110e2, 0xd17200e8, 0x56a64757, 0x8ebfcce3, 0x39897bb3, 0x8b27b17f, 0x56298031,
+    0x284b7b6c, 0xaad24321, 0x1d6b7249, 0x23e8f9d0, 0x1dd6c385, 0xd4a0bd54, 0x4ff8d8e7, 0xaf3ebaca,
+    0x245837f4, 0xbb390e00, 0xa57ad79d, 0x31d99be0, 0x4b851a23, 0xeec19002, 0x7c86d281, 0x73081f71,
+    0xa544476e, 0x5e6a742a, 0x048fcc84, 0x185dbc60, 0x4276127b, 0xfd696c22, 0x1a762b62, 0x2e4317f2,
+    0xab5c958c, 0x7ea5de38, 0xf6529e1c, 0xb2c33e0a, 0x8dae527e, 0xe826b2cb, 0x85468265, 0x8298b918,
+    0x80d25d6e, 0x43dfc899, 0xa99e0d25, 0x95b6230a, 0x9c8bbf0d, 0xb7ae7a64, 0x348b9efe, 0xe131ad9b,
+    0x6b6fb4e8, 0x05e4f719, 0xbb6f57b7, 0x0dc48630, 0xb8fa5e0c, 0xd1e0bc26, 0x989a5207, 0x8bcb4efc,
+    0x9db984ec, 0xea6c5c84, 0x81de72d9, 0x7766a06b, 0xa1674816, 0xf68a0406, 0xe963ef59, 0x2b2196c6,
+    0xb0e2ddc7, 0xfcd75576, 0xa3834b42, 0x29601903, 0x2f5109ca, 0x32e5e35e, 0xb478c55b, 0x43384e0d,
+    0x35c82822, 0xc06d32c8, 0xf2085d74, 0x096c4aa0, 0x8f4862a9, 0xc9918c7f, 0xb79cdf0d, 0x3af51279,
+    0xae6cc184, 0x4b33ba6c, 0x2841501b, 0x2ceb1038, 0x8ccb693a, 0xbb9a15b8, 0xfaf6ab74, 0x8829ebc5,
+    0x13c360e6, 0xb4cb808d, 0x10549be3, 0xb9c46c70, 0x6db1e3ff, 0x4af1c1cf, 0x1bf708f0, 0x5416ccd3,
+    0x7351c84d, 0x0518ceaa, 0x8a533a1d, 0xcdf71f80, 0x895f961c, 0x871285a4, 0xa0c3b450, 0xf3ff9de9,
+    0xb334f1d2, 0xdc2cb146, 0x4892c1e1, 0x27212007, 0x8dfa79fb, 0x2ab21889, 0x4b133452, 0x06233db5,
+    0x01a3c19f, 0xe498b26c, 0xea43c00c, 0x489e565b, 0xcae477bc, 0x94996ce9, 0x4da8f6fc, 0x0d1a30d3,
+    0xba534bf5, 0x56d996a3, 0x79783851, 0x4d572420, 0x831f3b4c, 0xe9e5851e, 0x7a11afcf, 0x63fe6fe9,
+    0x09be034a, 0xeb59ebd2, 0x203828ba, 0x6177438c, 0x37c23128, 0x4aa570e1, 0xb03e575d, 0x596f8c4d,
+    0x1dfe549f, 0x8a92f7c0, 0x50eb3e0e, 0xa2526e47, 0xbe4da8a4, 0x3c8f91b9, 0xd553999e, 0x992c20f9,
+    0x12fba875, 0x86b295fe, 0x057737a3, 0xfea8fb6b, 0x76f2467c, 0x33bc37c0, 0x28a145b9, 0xab5315b7,
+    0x190156f4, 0x2b972b62, 0x6f74f167, 0xb72917c5, 0x8512567c, 0xafcdc17a, 0x5ebd45b5, 0xe030e332,
+    0xafa62a4c, 0xf5dc46e9, 0x6fdb3a5c, 0x26bccc5a, 0x6c421df8, 0x2276c3d7, 0xec6fcefe, 0x6b172abb,
+    0x7aa229af, 0xd4e34305, 0xbd78f776, 0x26c7702f, 0xe01b7fc0, 0x4aa388d8, 0xa8637770, 0x4792d9ad,
+    0x62475f1a, 0x71f23a90, 0x02a45178, 0x7955d12b, 0x7396037d, 0xabb5e8da, 0x3861c1f7, 0x94eb6dfb,
+    0x8cca3263, 0xc78fb083, 0x63a3fdb4, 0xd8649e2e, 0x826b133a, 0xccc76c8f, 0xdda4660f, 0x99bc517b,
+    0x7710c7d3, 0x82173dfe, 0x431d754b, 0x0a8f9194, 0x2eeca74f, 0x1fbb7b27, 0xba195dac, 0x9b73d401,
+    0x0509a866, 0x170afe77, 0x45fca0b6, 0x83581d26, 0x31a5b325, 0x843225d6, 0xa1287ba6, 0x0ea16a4b,
+    0xc2f4005a, 0xe234fb85, 0x972bbbd1, 0xe6f12702, 0x03cc20a5, 0xc5f02972, 0x21fdd0e5, 0x47003efe,
+    0x019522c3, 0xaee75f72, 0xb9c3a332, 0x12f545be, 0xbf063a97, 0xca249e16, 0x033af2a6, 0xe740714d,
+    0xb1891ffc, 0x1d33f49f, 0xecc5d7e3, 0x37cb10b7, 0x7667e2f8, 0xf2630dd2, 0xc38777cc, 0x2c08c705,
+    0xdac56669, 0xf81de678, 0x3a62fe2c, 0x132bc0c2, 0x763576d5, 0x74a7fab5, 0x92288f50, 0x7c795ae7,
+    0xb01193cc, 0x925399be, 0x0d6220ca, 0x2697784c, 0x5fba7d1b, 0x3f923619, 0xfc834485, 0x4522b417,
+    0x16443de3, 0x311b2002, 0x7959da3f, 0xe1de1d48, 0x35038038, 0x9c059902, 0xd7f26f4f, 0x1f0ba603,
+    0xb035821b, 0xb891e1a7, 0xaea1e177, 0x64638fda, 0x33b38ff3, 0x761a63d1, 0x3f46dcf8, 0xc9fa83e1,
+    0xa17faa15, 0xbdaa30a4, 0x545d45a1, 0xf5bb92ba, 0x65510c28, 0x054d168b, 0xcdadfc95, 0xef753b14,
+    0x81489635, 0xb228e8eb, 0xd23612cd, 0xdf08b1ea, 0x12e7f760, 0x4a44e6a1, 0x64a46dff, 0x4ebfb5f6,
+    0x56aff25c, 0x7a494273, 0xca443528, 0x194f5651, 0x3a9d10d7, 0xc001f7f0, 0x047912ec, 0x1d0d2bf3,
+    0x26fd6668, 0x1e57e9dd, 0x105fd0c8, 0xf3f74216, 0x12fc0dd2, 0xb3a22f1c, 0x81c4d5ad, 0x2ab3952d,
+    0xf5af66ef, 0x6504dd9a, 0x87f026ee, 0xe08aba3a, 0x64346e85, 0x16f8b17b, 0x35419377, 0xfc152659,
+    0x1a4ba5fa, 0xad4606e7, 0xf8fa802b, 0xfd0a5f4e, 0x626281dc, 0x5aeff2d0, 0xbb35e7f7, 0x9828b195,
+    0xc3e53b29, 0x9db17575, 0xc9d151c0, 0xc409549c, 0x41307ed6, 0x58a2ace9, 0x93256135, 0xf9692576,
+    0xa78c6dd8, 0x11b2682b, 0x788cfe43, 0x96f68cb2, 0x747fb55f, 0xc3135830, 0x3bc7db88, 0x345bc247,
+    0x2b61bb74, 0x623c63ac, 0xc5fec75a, 0xee2e4a38, 0xdafdd26c, 0xa12e41c4, 0x0cdc0cb7, 0xf5ca3f19,
+    0x6ee83e83, 0x42a7a001, 0x953fb622, 0xdff3eec4, 0xfd740217, 0xd607ec7e, 0xca361a28, 0x0fcec63a,
+    0xbe6c6768, 0x564a0251, 0x17d17b7b, 0xfce13773, 0x3aa9b2e2, 0xdea038df, 0xfad0bda0, 0x2cf0ac38,
+    0x03d4dd59, 0x8afba3b3, 0x93c5f2f8, 0x85d7a7ad, 0x84f66626, 0xe7caa0d8, 0xedad3f3f, 0x75135635,
+    0x7c5fcfbf, 0x8770e500, 0xe555aceb, 0xb6c125de, 0x85f54b9d, 0x2d738e25, 0x4e0b2ff7, 0x3b8814c1,
+    0x96e59a49, 0x7dc65d54, 0xafd865a2, 0x76b62adf, 0xcc872f48, 0x5f045632, 0x13d04176, 0x846a7153,
+    0x936a291e, 0x950b70d3, 0x258a99f6, 0xa65a10e8, 0x140d54f5, 0x74774d05, 0x94c53e87, 0xdcb417f7,
+    0x3420fe3e, 0xa1e97d99, 0x371adaa5, 0xd891b2ae, 0xc1365b53, 0x72876c1c, 0x596b9180, 0x8f6e563b,
+    0x0773ace4, 0x9750291e, 0x38a3baf4, 0x93ed8dff, 0xd47ee200, 0x3a5739e5, 0xd9696eef, 0xd0d70745,
+    0x406687a2, 0xd0ea98a1, 0x7f209540, 0x492dfe69, 0x693d3402, 0xcaa90f6c, 0x11091901, 0x54dee4e0,
+    0x6b8126ec, 0x570d3968, 0xc462b97b, 0x67067bd8, 0xf1ae72bd, 0xbfbef780, 0x770a049e, 0xee3ee1b5,
+    0x52a3ac62, 0x0fd24fbc, 0xe4d67569, 0x46e76309, 0xf970b6fe, 0xd892de80, 0x693bb208, 0x24a98f42,
+    0x314a4bb1, 0xb4a3947d, 0x95ca32d2, 0x201ef4ab, 0x432ae49d, 0x74c7b551, 0xd442a3e3, 0x3878e511,
+    0x439b49eb, 0xd88790cf, 0x1659adef, 0x84e92d42, 0x47845b27, 0x9770a9e1, 0xe0d61972, 0x56d7c8a0,
+    0xe3f7422f, 0xebb0b3f3, 0x6dce4edc, 0x6d627ec2, 0x1ba8057c, 0x69776e42, 0xcce02b41, 0x9dfb4f56,
+    0x20873b77, 0x7eceb222, 0xac1bf174, 0x8b77bf73, 0x1c252698, 0x782e4d1a, 0xd5fb2a38, 0x71ff6b20,
+    0x59ccc3ce, 0xdeffcb42, 0xbb5c7b09, 0x3f9475d5, 0xa128f545, 0x43223ed6, 0x043f2a81, 0xf1450cc9,
+    0x87bad436, 0x8fe74579, 0xd2282e87, 0x93a91dfa, 0xe94e351f, 0x6ac7546c, 0xab688b17, 0xa2c01a9c,
+    0x7de01a07, 0x57e288aa, 0xf22074d4, 0xcd339577, 0x935a639d, 0xd00ec0a7, 0xbe13c94e, 0x399eafe5,
+    0x64659af6, 0x654a9d1f, 0x73067f34, 0xf00179b7, 0x09185991, 0xf5502bb8, 0xa1561c49, 0x20990870,
+    0x9aadacf7, 0x8b37b605, 0x5f1f08cc, 0xadf18a5c, 0x8b08c8d5, 0xc4765c00, 0xba5965c8, 0xb4295fbc,
+    0x1b185f9f, 0xc314f030, 0x852103dc, 0x8db949f9, 0xc54e839d, 0x43c32a08, 0x1cd369a5, 0x4ca999d2,
+    0xcf9e355f, 0x69beeae2, 0xed15ff06, 0xe6934d3e, 0xd01eace0, 0x9d0b5b0d, 0xf8ceb62d, 0xcb9058df,
+    0xec7843dc, 0xb6621f4c, 0x42b49a7d, 0x742593d4, 0xdaadf336, 0x1eb6d5ae, 0xf4e339fd, 0xa3e8dd54,
+    0x6b101dd0, 0xf3958a2d, 0xf8d860ea, 0x4c4fe0f6, 0x8970e761, 0x5f67df9c, 0x9abf383d, 0x417c25db,
+    0xeb9994b3, 0xe3269276, 0xd6b28d0f, 0xddd8a6a6, 0x9a0e7ae6, 0x4d627e6b, 0x77cc31ed, 0x7ac3c54e,
+    0x1a5ddba7, 0x42723183, 0x8890c82f, 0x212b9c63, 0xc43ddfa1, 0x43bc4e86, 0x0df46419, 0x9ce8d97e,
+    0xaf286f6a, 0xd087843b, 0x0d64c5e5, 0x051908c0, 0x37953d03, 0x14c16867, 0xdf141c23, 0xa3429222,
+    0x9ca31db6, 0xc33f1e0a, 0x656989fc, 0x07aeec2f, 0xff505181, 0x3f513a92, 0x9b5d4780, 0xdabe85b7,
+    0x9d92a594, 0xfc583c8d, 0x5fa3993a, 0x9fa05810, 0x51cf5c33, 0x790067c2, 0x0d98f8c5, 0x51b17170,
+    0x7d80f4a7, 0x488e3458, 0xc3ca44cc, 0x602abb13, 0x13202e40, 0xc5e89c55, 0xd83d72f5, 0xf20b1dcf,
+    0x63395d38, 0xdb904646, 0x3e4d6cba, 0x336ac0fa, 0xff348f64, 0x57b35019, 0x44ef2b8d, 0xa0280b85,
+    0x6d57089e, 0x56fb7a1b, 0x865c473a, 0xd68ca61f, 0x3dd0c80d, 0xf13d39a1, 0x829709cc, 0x8721f53f,
+    0x9e77e5d6, 0x04d3fd2a, 0x92d1996f, 0x699e70cc, 0xd5518b40, 0xd584eec4, 0x381659bb, 0x42a4223b,
+    0xe5172486, 0x14a7bf09, 0xfafcdb6c, 0xdc6ad2ca, 0x99e04b60, 0x7041ecc6, 0xa0f64f9f, 0x5d9e5b49,
+    0x6768f773, 0x709d2351, 0x3b0e9042, 0xd1023f79, 0xb979d7da, 0x65ddb1ca, 0x6bfbf8dd, 0x6e53e4d3,
+    0xb5a52fe0, 0x78ff84f4, 0x4b2091a2, 0xe6059da7, 0x66a53546, 0xd5016bc4, 0x096e29c5, 0x858f7f95,
+    0x295456ac, 0x414e3d7d, 0xb240772a, 0xaca7c27f, 0x6f5403f4, 0x33f65673, 0x853eadb4, 0x02e4cf11,
+    0x02cd2aef, 0x3a7445f9, 0x5eb13d4b, 0xf1d6abcc, 0xd0a924dd, 0x2fe7bb34, 0x7c840cd3, 0xc4ddcaf2,
+    0x177352ac, 0x3db50849, 0xed30adcc, 0x917fdd7e, 0xb7d8e664, 0xd89c70f3, 0x58ee9da8, 0xe361ae72,
+    0x683b7b0f, 0x3ae6e6e0, 0x1f250a4c, 0x570c86f8, 0xb904a0ec, 0x04017441, 0xe0d41365, 0xc04b4e50,
+    0xfb42f245, 0xdcd53f5f, 0x9bfe7389, 0x2bc66e3a, 0x499e3184, 0x59f5bdf8, 0x3acc7bdb, 0x556577f6,
+    0x55ba4961, 0xa5ea73f1, 0xbd15db16, 0x52793f7e, 0xf8c81882, 0xaeef2222, 0x8a055c68, 0xf3283111,
+    0x617bb431, 0x846d46f5, 0xfb89f2e9, 0x7749fae8, 0x8b7b7d9f, 0x35b0953a, 0xa4cfedbd, 0xf4b2111e,
+    0x8fac49bd, 0xe76d04bc, 0x430ab070, 0xedef4910, 0x3378f835, 0x2839052b, 0x80db6788, 0xf9ff83b1,
+    0x289135ac, 0x90e03250, 0xf1cfc719, 0x8ce9b2e4, 0x11ffb04f, 0xf90ce34a, 0x20929186, 0x913c053f,
+    0x2edf4148, 0x0d36c0a9, 0xbe7d35d4, 0x51e8399e, 0x247dfd79, 0x2438290d, 0x10a1e78c, 0x51dbe858,
+    0xecc1a547, 0x71822c86, 0x53fa9ff3, 0x25c9c9b6, 0xe1d14955, 0x8ee18579, 0xf4287805, 0xb689d3a7,
+    0xef076aba, 0xde568467, 0x3837c9de, 0xa0b0349c, 0xf243aebd, 0x7663bc29, 0x1cbacceb, 0xc96767af,
+    0x23127b8c, 0x32132f06, 0x002db9ad, 0xe3c8d688, 0x882c757d, 0xe8502f77, 0xad9633b4, 0x5ebbd9df,
+    0xcd92d03c, 0x09fd0deb, 0x97220549, 0x6cc042e5, 0xf27e8bc5, 0x3b0b4477, 0x2ae626c0, 0xa0779d9a,
+    0x7d067a17, 0x4472d1fc, 0xa35d84f6, 0xc9162b64, 0x9809438b, 0x18730ee1, 0xba2e6a15, 0x21ad4059,
+    0x613ab7d8, 0x232728a0, 0x935ab444, 0x914c7155, 0xb7a54405, 0x388956bf, 0xac9207d8, 0x8f064325,
+    0x703c7a2c, 0x6bf1acc3, 0x03a7bab4, 0xb71a4871, 0x0f9f3db1, 0xf805df17, 0x222764e8, 0xabe08887,
+    0x0e6f32ea, 0x499b992a, 0x719f4f5a, 0x3ed502f8, 0x2278989e, 0xfb89724e, 0x8cd6fdf6, 0x3956b709,
+    0x51e73a08, 0xa2214e3c, 0x95dedff0, 0x09e3beb1, 0x1f5aff6c, 0x43d57e43, 0xb9197a43, 0xdd4a6bc7,
+    0x7582aacb, 0xd85aa619, 0x51cdf250, 0xcbbbbbc9, 0xe2b2aa96, 0xe4397ff0, 0x50db9d27, 0x69e3f718,
+    0xe1ce7127, 0x400e1218, 0x6d0db50a, 0x342a8c3b, 0x0b25a02c, 0x67dadbae, 0x5716b18b, 0x89c91dab,
+    0xc42df6a8, 0xac47164f, 0x7cf95724, 0xeecb2e38, 0x43d0d310, 0xf8e81cd3, 0x1ef5fdfb, 0x30d5b52d,
+    0x9224ef03, 0x4eaaf78c, 0xfd4dde2c, 0x8a51adcf, 0xe84b17f0, 0x98c68cd7, 0x2996a42e, 0x95b987c5,
+    0x5f9559c9, 0xa1c1c22d, 0xf9a998a5, 0xb173f464, 0xf605f970, 0x0717a632, 0xbf2e3368, 0xbf9bc22c,
+    0x3cd9b8de, 0x34dd0111, 0x7cbf4b17, 0x2787f25e, 0x5a4f8ed3, 0xd4c8c347, 0x7e5e5967, 0x37ee1b51,
+    0x780c8417, 0x770a5fa1, 0x66850039, 0xa1a45acf, 0x9a5cf224, 0x71e883a9, 0xe132659a, 0x80cb14fc,
+    0x4d7ee06a, 0x630dbd69, 0x811f8f04, 0x799fb452, 0x8a3f9109, 0x74faae42, 0x79dc816a, 0xb21327c5,
+    0x5a3f6726, 0x384683be, 0x3b661f14, 0x0036458c, 0x0111fd5c, 0x9bfa5223, 0xe398dcdc, 0x4024d877,
+    0x4bbd30c0, 0xbf59b863, 0xd6d01626, 0xedef7952, 0x1cbfb351, 0x3be228b7, 0xff596128, 0x4e664408,
+    0x7218015e, 0x835705db, 0x5fa43878, 0xcba7e547, 0x7b0e2f4b, 0x52173ac8, 0xaf63e781, 0x76fec570,
+    0xeee419c0, 0x9ddf8619, 0xd42d2843, 0x09767200, 0xe5e52681, 0xb7ac3de1, 0x3b801fe1, 0x3dfe52b7,
+    0x4f6ec776, 0x7f8567ef, 0x533f1e22, 0x293939bd, 0x3ec7ddf9, 0x37e8387a, 0xa2652b34, 0x188b6f42,
+    0x7ad40be6, 0x2bdc302a, 0x786541de, 0xb689fd62, 0xb9413418, 0xe5f76daa, 0x4f37fb17, 0x44b71ae3,
+    0x54cc3f5e, 0xdb635344, 0x82762df0, 0x634c8e7a, 0xf134f45d, 0xd01e67da, 0x55df7184, 0xe284d356,
+    0x77e25aa5, 0xeaac7bc6, 0xd2097f76, 0xfb70a8f1, 0x42faa295, 0xb5c678fd, 0x0a629092, 0x3a908b3e,
+    0xeb8ebb5a, 0xa8d72a43, 0xbedca755, 0x7d24543f, 0xc3423d34, 0xc1a5d359, 0x44ccd645, 0x885edbf0,
+    0xe2d17359, 0xb96c1d97, 0x502db22c, 0xfe598c71, 0x6afc6e18, 0xada02865, 0x21bc38fb, 0x006ce71b,
+    0x45cc18f5, 0x9a1fa7c9, 0x282f1b5a, 0xf2aba6b9, 0x853842a7, 0x8f551464, 0x00072994, 0x455c04a2,
+    0xd15f9cd3, 0x1022e6bd, 0x309a5ba6, 0xbeb61e7a, 0x4961bb42, 0x2538b588, 0x6f1fad6c, 0xa193142d,
+    0x9f6f95ad, 0x1e7a828f, 0x3f5dede7, 0xc7b0cbbc, 0x5f3b5f47, 0x240d6caa, 0x562d24b0, 0x5d26efc7,
+    0xb711575c, 0xb023301b, 0xcb463ab0, 0xe0e3250d, 0x578f74c1, 0x8e15c21b, 0xa67eb213, 0x19c82f45,
+    0x5a601a89, 0x4ef177c8, 0x429a7afd, 0xb7ec0af4, 0xccaa4a3b, 0x3f5bc012, 0xf495beb2, 0x14d1107f,
+    0x5ec6bd32, 0x6e9ef939, 0xfcb5cbfd, 0x29bc63e1, 0xe8083907, 0xd537619f, 0x7619fa0f, 0x4f52bc36,
+    0x5fa566e1, 0xa19d99b0, 0xfa00dea0, 0xf06ade76, 0xc5cae522, 0x43846879, 0x42ca28df, 0x900f2a46,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000001427247692705959881058285969449495136382746624 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ed, 0xa66cb629,
+    0x00000000,
+    0xff620cbd, 0x46b98858, 0xd9f682c0, 0xfa066c34, 0x6a0609bb, 0x2dab739b, 0xfd54f19d, 0xc1e2ba50,
+    0xbf55a8e0, 0x40a8ca74, 0x1bab11c0, 0xcab30366, 0x0da10f94, 0x175678e3, 0x709de324, 0xcfa731dd,
+    0x1984d308, 0xdbb1a7ad, 0x8106d6f6, 0xc4c29f8e, 0x632d9b74, 0xa2c29d94, 0xab304fac, 0x1c3ccf24,
+    0xc49ea3ef, 0x03ea302c, 0x11420676, 0xce493f1e, 0xb98fa3bd, 0xa00b3ad5, 0x7175789a, 0x7259ac6e,
+    0x1370ca98, 0x5cbf2ad0, 0xea076b9f, 0x358348ee, 0x79d33833, 0x7cfaafea, 0x82b430d5, 0xd4e55625,
+    0x0edccf87, 0xfacdec9f, 0x9a791a26, 0x00924f5b, 0xcab75f72, 0x7f11fef9, 0x43c448e9, 0x675db9f3,
+    0xdc8aed73, 0x727f104c, 0x70a02340, 0x43e69eba, 0x0c1bb987, 0x7be26d89, 0xc1c24962, 0xb7f93bac,
+    0xa6f1117b, 0xb92643ba, 0x552317e7, 0x7f84eaa0, 0x3fab1d09, 0xeed63f0d, 0xc732a556, 0x0c5dc4f8,
+    0xe3127d91, 0x321452b2, 0x1254c09f, 0x45659c9a, 0x682a59ff, 0x5c7ce7d4, 0x9f5e5ff0, 0x094e0352,
+    0x254452f4, 0xfdea5dbe, 0xedd0b124, 0x3832f69e, 0x0fce886c, 0xd7807f7b, 0xd7107b79, 0x4d073bee,
+    0xc0e00167, 0x35b520a6, 0xa4892632, 0x799c7a19, 0xef325071, 0x0144d5db, 0x93e4da38, 0x8f6538cf,
+    0x5eb44fea, 0x911ed440, 0x940e9b6b, 0xf90af19f, 0x3838f2d5, 0x364c79d8, 0x18278f18, 0x035b4fe5,
+    0xe7b4f04d, 0xf29ac5d6, 0x6d8c19a9, 0xc68d33b3, 0xbc7009fc, 0x56c71e2d, 0x8a195884, 0x644384d8,
+    0x65e1f7b1, 0x47cb1c82, 0x7c14af51, 0x740097b2, 0x6e3e4a4a, 0x74ed5f7e, 0xd8b18fb7, 0x13b12cdc,
+    0x3e9ed460, 0x32e1c1c8, 0x6c845a90, 0xe6ecf511, 0xfb3c0f8b, 0x253a9f08, 0xa22051c2, 0x976921d0,
+    0xd9753246, 0x44680cdb, 0x0f8672c9, 0x4b2735aa, 0xe833f3af, 0x0dbd4b48, 0x7d0a3c27, 0x7a25d31a,
+    0x89a9b7c7, 0x27c95be9, 0x47a83145, 0x23fd6a5c, 0x00b3bb3c, 0x937716b0, 0x1070f82a, 0xf8e3a918,
+    0xbb9454f5, 0xe4136408, 0xc31ff682, 0x0710bc03, 0x4ae99022, 0xca6aef1f, 0x57a5a868, 0x9a2a7e25,
+    0x48ba6e6f, 0xf29317b3, 0xa9c2665d, 0x8ca7065d, 0xb56909a1, 0x587a1bcf, 0xb0870f9b, 0x17dd8c04,
+    0x0db6db72, 0x8be43fdb, 0x735fa2de, 0xaaee4ded, 0x3375eef7, 0xcf639049, 0x5e8d11dd, 0x0ae97c25,
+    0x62da8d6c, 0xa51db45b, 0xbb0ac8a2, 0x9b0a2ff5, 0x8f556306, 0x5ee742ff, 0x493f1b82, 0x98431b8b,
+    0xcf936035, 0x8c175056, 0xb4e1f4a7, 0x43c8126f, 0xa49fe8af, 0xec0289c7, 0x9c614348, 0x930a833b,
+    0xf135a02a, 0xb730b4f3, 0xaee37264, 0x0086f8ed, 0x1fbb8cf1, 0xdb447c31, 0xb6c36855, 0x09ffa7aa,
+    0xe7e47e72, 0xbc73d181, 0x42a66f8b, 0xbc13f59d, 0xba754df7, 0xea1d11e6, 0x9d0ce549, 0xb89bc0cb,
+    0xfe01c7f8, 0x6286a776, 0xdca72d72, 0x134053b2, 0xbd65d882, 0xb773107f, 0xbc8373e5, 0xeb423847,
+    0x97e97697, 0x8c5aad11, 0x9150646f, 0xffce6334, 0xcf3fbaa1, 0x8f918ad9, 0x3ae5baef, 0x8439584a,
+    0x83e0f511, 0x3467ace4, 0x1d749187, 0x87a35018, 0x848da3cb, 0xe1ad3797, 0xc1670bf2, 0xf1fb2d60,
+    0x9fc6c942, 0x0c4294fc, 0xb2c59d2d, 0x88783168, 0x986d739f, 0x4c1718fe, 0x75cc4777, 0x7732df9b,
+    0xb2125a7c, 0xda040d39, 0x32be64a7, 0x7152bf4e, 0x0aa5020a, 0xa4083ef2, 0x0ad635ef, 0x5bb1afb4,
+    0xd1921717, 0xfc4a3caa, 0x01463b76, 0x15abf74f, 0xbc0aa03d, 0xbbd33bed, 0x2e72f959, 0x8fc1c1b4,
+    0x6bbdc699, 0xf8a34fa0, 0xc88877c6, 0xc3e96c6a, 0x130329b1, 0x885aa929, 0xf9e1c0e1, 0x8aa11048,
+    0xae326cfa, 0xe3c62ecf, 0x6df823e0, 0x84e8df46, 0xd654791b, 0x6e99f974, 0x42cb4efe, 0x54f620ab,
+    0xad657eb7, 0x1b435433, 0x60dc6dad, 0xae3fdd35, 0xea0d14d8, 0xe355eaf6, 0x727ad901, 0x2bb48d85,
+    0xe4a228a9, 0x8df8b8cf, 0xe58f3216, 0xef3edb83, 0x55f7c045, 0xa2f01ecf, 0x98bb3f28, 0xcdc65938,
+    0xd90c1c5b, 0x3ed75976, 0x4d38c1f4, 0x19bf043d, 0x27edfe01, 0x03a54309, 0x757956e8, 0x589337b7,
+    0x060cf6f9, 0xe1a115f5, 0xfce36aad, 0xa4980d7f, 0xafdb1949, 0xacbbbc66, 0x211c4128, 0xba3f52e4,
+    0xbfd49a32, 0x2b34f54c, 0xbfabf1f6, 0xf939b76f, 0xb7ffa81a, 0xbaccf0dd, 0x5b60b649, 0x32eebc89,
+    0x10fcec16, 0x6b540c3f, 0x8cac0e89, 0x9c4e77ff, 0xfbeb80e4, 0x94e1a2cd, 0xb381fe39, 0x9bcbce84,
+    0xb02a3e25, 0xbc79c35b, 0x4c880537, 0xe48065a3, 0x69f78162, 0xb5c7e962, 0x776fd789, 0x70072340,
+    0x6fd3f827, 0x1a5baafb, 0x9660267f, 0xc07f3082, 0x53ad542b, 0x539cb1ea, 0x397dec3d, 0x1406ada6,
+    0xf0f9ab48, 0xa08b1965, 0x9176b8e8, 0x93d956ed, 0xa6b41822, 0xe12aab68, 0x2c2fabda, 0xcbd20166,
+    0x80cd34a6, 0x9e2c8a08, 0xd662ec60, 0x290af111, 0x21f312b6, 0x62717837, 0x0ab79cd8, 0x7ee42382,
+    0xc5f97682, 0x7f9f2fab, 0x368f4459, 0x26b5b787, 0xf0ec70be, 0xf158fe76, 0x87d6ed4c, 0xd77d8bdf,
+    0x12bca2c8, 0xac81016f, 0x50ceb40c, 0x7da2ec7c, 0xfb079e5c, 0x3831e8ef, 0xc420921c, 0x1967b2d7,
+    0x0dd05500, 0xdbec24fb, 0xc086293d, 0x53739713, 0x1668e95e, 0x4d0f25f1, 0x5f3cafc8, 0x016cc746,
+    0xbaf91b44, 0xf2430cdb, 0x9b718fc2, 0x5c73e0bc, 0x9be1ce04, 0x93f8b888, 0xd4b0c4df, 0x4c838047,
+    0x02a59421, 0xc9f249e5, 0x24a2c20e, 0x8de0b932, 0xc9aa6175, 0xd4db6de7, 0x99f14234, 0x25e61b5d,
+    0x75541006, 0x2ad3c1bc, 0xe96a85d7, 0xed82172b, 0x3e3b8eeb, 0xb50d93d5, 0xc16e2e83, 0x158b7861,
+    0x22e076f0, 0x36a9446f, 0xec36d42b, 0x2431d3f3, 0x58b7f543, 0xaf508b17, 0xfc0d4cc9, 0x01e25758,
+    0xb7232630, 0x897298f7, 0xf43edef3, 0x1951dd2e, 0xa7682241, 0x4ec5c285, 0x10dcb4b5, 0xa43bd8d8,
+    0xad01b107, 0xf30c2549, 0x722341e7, 0x8d9213c7, 0x74d18c24, 0x61b266a5, 0xdfe983f2, 0x47ebc7a4,
+    0xc5432957, 0x404246ba, 0x9614141d, 0x97deb0c5, 0xfa732610, 0xe6d798cf, 0x4227318a, 0x10fae6eb,
+    0x574b7db9, 0x6557754f, 0xa94c5430, 0x86560971, 0xfee53c60, 0xfa956efd, 0x84d2dbef, 0x986b3ea7,
+    0x33706bce, 0x249eebac, 0x25c88486, 0x96d0efb0, 0x11c50ae8, 0x5ec07d28, 0x9935912f, 0xdf6e1a10,
+    0x006dfc34, 0xf32354bb, 0xbc2265dc, 0x4087b1c9, 0x8fdfefd3, 0x302292ac, 0x1e6a703b, 0x1e46dfd6,
+    0x35bcff64, 0x41c22fc7, 0x34e39691, 0x2842b8b7, 0x3a8631fa, 0x12917805, 0xe3960eee, 0x32e1bfcc,
+    0xf0ac786d, 0xf175ed30, 0x8423391f, 0x513afc6d, 0x45be52ca, 0x9130ae2f, 0x6d6e6e7f, 0x1a52ff87,
+    0x403a6119, 0xa0226836, 0x11d5ff54, 0xbc93c167, 0xfbf71e22, 0x8705643f, 0x6f0429fd, 0x108a1e71,
+    0x0c303c4d, 0xe7d411dc, 0xc7cc9d0d, 0x83f65d22, 0x36d914f3, 0xb763e203, 0x83ef8d08, 0x73a8b924,
+    0x32fa9ad0, 0xd3632819, 0xa3a956c3, 0x31424c58, 0x1aad76e5, 0x74a960ef, 0x28596a2c, 0x1b3451f3,
+    0x7246065a, 0x53c16d93, 0x0fa2be41, 0xed569f17, 0xa1cbf49b, 0x74016a6b, 0xa4f0c693, 0xcddd183a,
+    0x465efd4d, 0xf882cb6b, 0x5041d1d2, 0x34dc5c70, 0xe2051e3c, 0x6115e1cb, 0x6c696d54, 0x43dd1249,
+    0x19cb3891, 0xd3ee7cea, 0x9db6ae7c, 0x765e5625, 0xcac28453, 0x78c93236, 0xe3806c75, 0x07cd2e16,
+    0x1136731a, 0x40bc4e7e, 0x9f6f3910, 0x5a640c00, 0x4979e074, 0x5014b691, 0x03bfffb6, 0x062ee037,
+    0x4c2db6f4, 0x75f2c6e4, 0xdfd74b0f, 0x41e09962, 0xe28c07e9, 0xc8bcc654, 0x07f440b3, 0xbedab887,
+    0xf20edc40, 0x1c3feb0e, 0xc29c8639, 0x8b883fd9, 0x36888d92, 0x95115901, 0x9e607e38, 0xd7d11cc0,
+    0x3204dc1d, 0xf4eb7c9f, 0x6f9311fb, 0x366e19dc, 0x494f4909, 0xb5598afb, 0xe5db0b24, 0x605da749,
+    0x8c3802df, 0x495ab5c0, 0x1af2c606, 0x70dc1f17, 0x042ebf49, 0x939be7ce, 0xb66bef88, 0xeb0c15ae,
+    0x77169ba7, 0x837a6224, 0x1add14fb, 0xcdf69500, 0xaca340c4, 0x45fefd26, 0x9e37926b, 0xb2809182,
+    0x4134aef6, 0xbc766836, 0x21819593, 0x3c22b895, 0xff7b043d, 0x4f959f61, 0xab754e98, 0x6c745d4b,
+    0x6f402839, 0x7d039cb8, 0x92823d93, 0x590cd50e, 0x49057cf0, 0x6ec2da49, 0xbbf36f3a, 0xe572a589,
+    0x725e654a, 0x3e360c2d, 0x9c395386, 0x6ff68f7f, 0x5514c3f3, 0x69cbebee, 0x5db29bc1, 0xd3c842e7,
+    0x0c8cfad8, 0xee8c3500, 0x5094388f, 0xe42b432c, 0x8565a554, 0xe7da3664, 0x532aa74a, 0xff893a25,
+    0x7789255a, 0x2fb45269, 0x9c74c052, 0x62b255ee, 0xfb479f37, 0x65f8ffee, 0x889a9fa1, 0x894aaca6,
+    0x8c51a56c, 0x7602ad02, 0xc700ac1e, 0xdb06226e, 0x5d307905, 0x8fb6bbff, 0xb830ed46, 0x385cda5f,
+    0x5e416d7f, 0x98454337, 0x785b21f1, 0xf8592a19, 0xab626b13, 0x41df1d52, 0x399ee43e, 0x7e045384,
+    0x014cabe8, 0xa51bcf88, 0x77f57af4, 0xed1e6b87, 0x67e95e7a, 0xd5eb1c5a, 0xf00d97ce, 0x05c08a88,
+    0xccef44e7, 0x5e02b854, 0xe9f21296, 0xb6d8f5e6, 0x043438f1, 0x1a7b3f90, 0xe0a6461c, 0x8c6cf50b,
+    0x91e415f3, 0x2d01990d, 0xf004dc34, 0x8ecf024c, 0x7a2f1299, 0x93725d0e, 0x025d5acb, 0xb25ba617,
+    0xa7f55f7a, 0x58d5bf9b, 0x4e66ae43, 0x07299456, 0x9000edd7, 0xa95dedd0, 0x365b9ee1, 0x6712f3f9,
+    0xe944dde1, 0x1c42360e, 0xf98366ec, 0x463f644f, 0x66b0ba55, 0x1d7c6219, 0xc24cb15c, 0x3981d721,
+    0x613a503a, 0xb05f9be3, 0x595f0fb5, 0x3db342d1, 0x93181991, 0xdfbd978d, 0x706757d4, 0x360c8eb8,
+    0x00f1bd5b, 0xa9916fcd, 0x6d992603, 0xbabfad19, 0x93f1f9fa, 0xd0f9045e, 0x0f41093f, 0xb9cacbb6,
+    0xa9ce7363, 0x9faad57a, 0x2f4df8d4, 0x49bb52bb, 0x6b61cd23, 0x456b01c2, 0x9a50b3a1, 0x1640ac06,
+    0x68c27d4f, 0x39e64d68, 0x29aa12b0, 0xf0fb514e, 0x78a701cc, 0x3e85e311, 0xf4d702b5, 0x48fbac40,
+    0x9f3786e0, 0x89badd51, 0xad91a53d, 0x3f604101, 0x6c73710c, 0xfa24b7b2, 0xc04cd91e, 0x683b4b37,
+    0x80dca74b, 0x6c417f09, 0xbbe2648f, 0x3ecf8959, 0xd7ce2cf7, 0x5641ce2a, 0xdbc869de, 0x05f48e20,
+    0xb3ff3584, 0x28003383, 0xd74bf997, 0xb8dae79a, 0xa7b81abe, 0xd4fc959d, 0xabbeac5e, 0xb25d1d96,
+    0x4abcf8a8, 0x4039816c, 0x38bf94d5, 0x8efe458d, 0x32caca74, 0x022fe67e, 0x4fe5113d, 0xc84981e3,
+    0xd747ce23, 0x0eca28a5, 0xdc0f377e, 0xab4d3155, 0x687206eb, 0xafec1585, 0x4ed99773, 0x8ea814fc,
+    0xb84a891c, 0x4108ba11, 0x06b2b8da, 0xbe9f666c, 0x7e44a847, 0x8e682fc9, 0xc067ffbd, 0x0e819184,
+    0xc0102f44, 0x20d638c0, 0xf024acff, 0xb45f5c26, 0xcd530e2e, 0x7081c890, 0x8b63522a, 0xcd223b74,
+    0xc83843a1, 0x26b688fc, 0x13cf404a, 0x821401bf, 0x697638b6, 0x6aa7e147, 0x7d1863cc, 0xf3249485,
+    0x25523412, 0x0ef5a5ed, 0x515ad2db, 0xf151b0a5, 0xf7613e53, 0x896c3cab, 0xb3c0e5a1, 0x322f01fe,
+    0x4f5d0045, 0x788db88e, 0xfb846778, 0x1008d1f7, 0xaf41cd4e, 0x95365e65, 0xd93e6c14, 0xd490ce7c,
+    0x4220cb67, 0x36c37110, 0xcc6608ed, 0x4238d5c8, 0xd45117ff, 0x3dc657cc, 0xecc7b68d, 0x0803023c,
+    0xd19ac4d0, 0xe781d0db, 0x9a6e472e, 0x55ff6e4e, 0xa68ef94d, 0xbdc28ee3, 0x2508a10c, 0x5815699a,
+    0x7c529f63, 0xf96eaae5, 0xe325434c, 0x45927046, 0xa7af3bd9, 0x50fd8f69, 0x36594601, 0xe570a978,
+    0xbbb49249, 0xdc064bee, 0x963bfe20, 0x4daf3f8a, 0xf1825d39, 0xc164d781, 0xee953890, 0xbfaf056e,
+    0x3dbad677, 0x65532499, 0x847a82da, 0x98b066b7, 0xb4c77b80, 0x774fe045, 0x5ee6c5d4, 0x5f4b0597,
+    0x86957bd0, 0x9c5cdcfd, 0x2f077049, 0xc79d2c9f, 0x90a83feb, 0x751459a5, 0x00e62c25, 0x53085824,
+    0x24bbecb0, 0x3af9c7c5, 0x48faab31, 0x2592ca90, 0x7ca00ef8, 0x6fb0cfa4, 0xcf69f8ca, 0x7a4be9fb,
+    0x1a02588d, 0x9925d65e, 0xa8a9bc90, 0x56f37224, 0x38069c5e, 0x3a79981b, 0x66e82581, 0x06d5a436,
+    0x386cb0d5, 0x70bfc27f, 0x7ae64d47, 0xb1a2f894, 0x48f11a0d, 0x9d0f161a, 0x565243da, 0x01168497,
+    0x7a0e7370, 0x3ac9ef0d, 0x9ebcddb5, 0xe28ca801, 0x382b783c, 0x836d79a6, 0xaa0fd33f, 0x01da021e,
+    0x725728c9, 0x3c1cb763, 0xbe4dd7a9, 0x00cc85b1, 0x86a28445, 0x13388e5f, 0x39276090, 0x597f2096,
+    0xaa7e1a56, 0xd7e9bb6e, 0xd481c84b, 0x86179721, 0x794bc3c9, 0xc86db3e8, 0x7aba84b7, 0x04934bdc,
+    0xdf3f72fb, 0xa4988d52, 0xfe915878, 0xa1671dd2, 0x2948f7c3, 0x29519508, 0xdf54cfd6, 0x8dda27c7,
+    0xd8efb5c4, 0x7397c4a0, 0x24dc0969, 0x7bac67fe, 0x5afe901f, 0xac066d8e, 0x35e012ed, 0x4474c545,
+    0x40dd6b7b, 0x9fdb59f1, 0x57acc4a9, 0xafa3ebbf, 0xb1be4ac3, 0x6bc6f599, 0x8cd3cfdc, 0x9561e7dc,
+    0x0f09d916, 0x12b4db7a, 0x6b8be2db, 0xfb7d2787, 0x026e9eae, 0xf5abf42e, 0x87fd5d35, 0x86e436b3,
+    0x4b228fda, 0x6bd91160, 0xdf0230e1, 0xca2530fb, 0xf02d81c3, 0xfcc0e817, 0x85b3eca1, 0xcde03e84,
+    0xf49317a5, 0xf371c3b4, 0x9532ffe5, 0xa8698949, 0x891355f0, 0x59654b82, 0x28ff73b7, 0xa75f36f7,
+    0xbfd1ac19, 0xe5675c19, 0x9f07be03, 0x9f346635, 0xbd230421, 0xe2e98ac9, 0xbcd2240e, 0x7b920fc4,
+    0x73fa3d05, 0xd919958e, 0x74d82794, 0x92cfba48, 0xb129bc09, 0xdb673dd5, 0xbe06b9d8, 0xc339cfcf,
+    0xdf91f477, 0xc73ef3ed, 0x0cd4fb77, 0x157a20bf, 0x15c73c3f, 0x03355e63, 0xdea6181d, 0x58bf312a,
+    0x9f5dc658, 0x9c24b3d6, 0x7ba3e71f, 0x120074f8, 0x4c404388, 0x7116ee48, 0xc17236a3, 0x34647bea,
+    0x7c6bc214, 0x11f3d3c1, 0x19beaf1d, 0x94b39130, 0x494d767b, 0xd47bdc90, 0xe9b0fec4, 0x48b0db57,
+    0x07d7cfc0, 0xbe5b1b2a, 0x0ddb261b, 0x3994665f, 0x5b434012, 0xa1590877, 0x4060c69c, 0x32c6e1a4,
+    0x6129a3ec, 0x230c5852, 0xce7ca8d9, 0x4ce61f8c, 0x694695fc, 0xe89e9a5b, 0x47f4333e, 0x2dbecedb,
+    0x842f0ae8, 0xb3015029, 0x75fa58e6, 0x0e7e3aa2, 0x2b260dce, 0x3397a63a, 0xdc51c2c8, 0x5438b2e9,
+    0x194ceb0c, 0x019117d9, 0xda829506, 0x27654a0d, 0x0fd3e248, 0x8815df68, 0x2b78a1d0, 0x2c96b76d,
+    0xeabee9c4, 0xe5361bb1, 0xeb679a0e, 0x0e11ca86, 0x38472a6f, 0x4a0caf2e, 0xaadbf97c, 0xa5124cb8,
+    0x12b21f1d, 0x33cf8eaa, 0xd1fd23cf, 0xda8d4276, 0xe5cfc21b, 0x4eede3c5, 0x7fe0e9b6, 0xe37d1c01,
+    0x40f95e4d, 0x64a643ba, 0xe9d5a622, 0x80f489bd, 0xe3ae074d, 0x9e602aab, 0xde2f35a4, 0x2b9cb115,
+    0x3ff32278, 0xb5b48887, 0x2404d8d0, 0x284b7a99, 0x430e33cf, 0xa83c9bb8, 0x4b4d570a, 0x5fd15bfc,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000713623846352979940529142984724747568191373312 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf6, 0xd3365b14,
+    0x00000000,
+    0xb4cd128e, 0x297bc0d9, 0xae6119c8, 0x29cc848a, 0xc9887b13, 0xa0ccf849, 0xd154fcdf, 0x405ed533,
+    0x81e7f881, 0x60ba63b3, 0x28c67b18, 0x827b1b49, 0x3a15e18e, 0x84c7ac48, 0x7d0b2165, 0xfc34f2cd,
+    0xa5621ba2, 0x6aa48ade, 0x2c87cd22, 0x6dbe5438, 0xce9cb473, 0x1f6d8b49, 0xb28b3cd3, 0xad8bbcbb,
+    0x6670ecd5, 0xa5f67a77, 0x6a494140, 0x86ad31e5, 0x3918155b, 0xdeb6f319, 0x0ba974f5, 0xcb0066df,
+    0x1a678329, 0x0d02a6a2, 0x1d509800, 0xa7bda729, 0x9027cb2a, 0x06919660, 0x471f2465, 0x557e1b74,
+    0x8e281b3d, 0x720872ef, 0xcd1b3734, 0x18f1761e, 0xff1463d4, 0x10955150, 0x1e7ee5ae, 0x06f4266d,
+    0xefd7029a, 0x9b470688, 0xdc716738, 0xf850929f, 0x0e6ee81c, 0x55ede614, 0x748e2d49, 0x8fe88803,
+    0x3d5db086, 0x6ef0f08e, 0x12dc6790, 0x7a0aeba1, 0x6c78b789, 0xc87c019b, 0xbd94846d, 0x2f08c848,
+    0x9511f26b, 0xfc541a46, 0x307ff43b, 0x2d6a6b34, 0xa1050245, 0x3c24686e, 0xe88a11fb, 0x2bb38303,
+    0x1837d93e, 0x687e6edb, 0x1a1ae74d, 0xe5189ffa, 0x2f77f3db, 0xa97c9fd5, 0x10b04a10, 0x0a1d2686,
+    0x50acce4a, 0xa3789bcd, 0x6e259a33, 0x1ce18620, 0x4960bcbb, 0xf47c170d, 0x503d14ae, 0xcefd3f62,
+    0x48d51368, 0xa1f6617c, 0x44d11188, 0x4358e3fa, 0xd8eb60bf, 0x1842df8a, 0x12cb477e, 0x662a0e4c,
+    0x8e161918, 0xa0350431, 0xf954733d, 0x928fadf5, 0x00b2b399, 0x423d7c7f, 0xd30af2ca, 0x1061ed7d,
+    0xb4475d65, 0x4c848fcc, 0xa670e2b6, 0x1a9997d2, 0x161d607d, 0x2b367a86, 0xcf41515f, 0x75953c14,
+    0xd7827e74, 0xf389156d, 0xcec10040, 0x6e3710f9, 0xc00f13bf, 0xea5761f5, 0xda25441a, 0x81303c60,
+    0x5eb4d53f, 0xfe1eddeb, 0xdcf875c7, 0xae64d358, 0x012dd99b, 0x729cc3bc, 0x45f00664, 0xd72ae044,
+    0x6b0da8a1, 0xf2495cba, 0x4fb3e56e, 0x4c49e734, 0xa94fb2da, 0x7ea1476f, 0x59884b99, 0x267e423a,
+    0x0ce07330, 0x8b03426f, 0x6c035efb, 0xdaf934b4, 0xb7919676, 0x6ee8d0e9, 0x8ddaedd4, 0xe2fe54f3,
+    0x365f149c, 0xd8e3642e, 0xeedc5a6e, 0x506a0100, 0xf266ca9d, 0xde5e2045, 0x6b68eff5, 0x1e0fa71a,
+    0xa85fac74, 0xc02442e6, 0x0436875b, 0x2b4ac7be, 0x9b385ae8, 0x61a4dff5, 0xc340b86f, 0x4876013c,
+    0xb9fe5c5c, 0x4e62d342, 0x7d05a31e, 0x76b49bc5, 0xe5c35b62, 0xd23d775e, 0xce416099, 0x76457070,
+    0x8288cc87, 0x645f06ae, 0x9ed1f21d, 0xa1e5b2d1, 0x4543d4eb, 0x64cf67b1, 0x5c6559d1, 0x6d85af07,
+    0x889ec1c8, 0xaac964c1, 0x86ae2961, 0x579e6e8f, 0x1eab758b, 0x4a29636f, 0x6ca6d436, 0x46376e7c,
+    0x7128799e, 0xcde397f1, 0x75bad40a, 0x5964b431, 0xebb27c10, 0x878a952e, 0x6b5cd66a, 0x8b13788e,
+    0xee2f0fac, 0x737cd8e1, 0xe351db48, 0xa0795f10, 0xe7df6ee4, 0x4d37b312, 0x33211939, 0x3ba1e26f,
+    0xc4f03341, 0x61109b97, 0x43a59cba, 0x7cd1123f, 0xef959ef0, 0xcd36493d, 0x107ff830, 0x9de695c2,
+    0x34ac1785, 0x57d57fa3, 0x4f252001, 0x7473607b, 0x9820eefe, 0x6405594a, 0x1784c48f, 0xc0d75c99,
+    0x35e6679d, 0x8c3671dc, 0xe9f68830, 0x051f6adc, 0x43536eb1, 0x73e44574, 0x3743fb47, 0xfc120507,
+    0x06db7663, 0x15c86401, 0x9acef1db, 0x4cb3526f, 0xc4c08695, 0xab330f76, 0x19205bb1, 0x557b643a,
+    0x559a0f68, 0x3ee4d0f4, 0x5d8e6991, 0x83fca964, 0xf24cf583, 0x7d23ac5c, 0x7b2d95fb, 0x4ed670b6,
+    0xc6f9e5a5, 0x3afc539f, 0x662f801f, 0x84940baa, 0x2f9f1124, 0x16a3855d, 0x382d3039, 0x53272048,
+    0x8443fdd9, 0x0310c92b, 0x5235d66c, 0xa44e08a9, 0x5a6ce82c, 0x940fccf1, 0x1f569df4, 0xc14ec18a,
+    0xbac17edd, 0x5f253203, 0x94dab921, 0xf5c5f7c9, 0xec66d66d, 0x45ad3d87, 0x89cf381e, 0x49eee542,
+    0xc5f11005, 0x03dc6964, 0x1870c597, 0xb6f0208e, 0x4e01a7e7, 0x3c980ba4, 0x1b515626, 0xf8c34377,
+    0xbd573824, 0x366192c9, 0x772ec012, 0x200b508e, 0xfb457469, 0x080b7514, 0x177a061e, 0x2590e23d,
+    0x3fbee37e, 0x2dc693aa, 0xeb664392, 0x07d02b2f, 0x76afe627, 0xca7f4fc5, 0x393834d6, 0x041c1a88,
+    0xa2ee1b4f, 0xdea4e5b2, 0x5294c67a, 0xae50b547, 0x51bc091f, 0x273bbed9, 0x7ec684ff, 0x198a56e5,
+    0xfb5b62b7, 0xf9bc58b3, 0x4b9de235, 0xb21d9ce5, 0xc9890550, 0x4a4d5c89, 0x81f42d06, 0x8cc71a24,
+    0x0ca90acf, 0x7d8aa0c2, 0x638625db, 0xbfb82642, 0xdc3bee52, 0x02cae0cf, 0x19e41969, 0x16c3e015,
+    0x493c443f, 0x33a42fc7, 0x4b6252c1, 0xc5b86bf9, 0x676ed0af, 0xe0b6ee8f, 0x09c4a834, 0xb674432a,
+    0x10be4cb3, 0xed529812, 0xbd486c95, 0x1c5ee432, 0x5e37fb1c, 0x5ab5bb28, 0x005cd1ff, 0x26ee24c6,
+    0x429a75dc, 0xcb53d395, 0x6a986c3e, 0x5ea370fe, 0x6b526947, 0x5d229b15, 0xd24267ef, 0x33b00f04,
+    0xf5c2cb35, 0xddec261c, 0x82690745, 0xdd58ef7d, 0xd7c4a680, 0x5a41eaa1, 0x20a0b811, 0xbd8afc72,
+    0x2d2d8900, 0x492ae043, 0xff365c48, 0xd3cc0a24, 0x0b2b58bb, 0xf4c88fdb, 0x73cb5a7f, 0x2fa53285,
+    0x2dcc5ce9, 0x4d1f777f, 0xc0ba8aa1, 0x399f078c, 0xf13ce086, 0x3b855684, 0xfe2d8939, 0x8771c82f,
+    0x6c894069, 0xc1ba1125, 0x8aee4ccd, 0x828c65a4, 0x1574f53c, 0x2079aec6, 0x6c7a1fee, 0xd40d231f,
+    0xcaf8ca00, 0xcb8b393c, 0xaa3431b3, 0x58f4cd4b, 0x2716f011, 0xabd6c981, 0x0779183a, 0x313815e1,
+    0xd2cda6e0, 0x3a84d876, 0x947b5bb0, 0x9c994aad, 0x100bce5e, 0xbaf8d9a0, 0x9b83b40c, 0xe22891c3,
+    0x5d3c2bee, 0x635e5f14, 0x29cb7924, 0xf20caa0b, 0xaa590610, 0xf74e2e63, 0x050cdd5e, 0x6957af90,
+    0x8da64dec, 0x404ac6ac, 0xb1d3ff31, 0x1a2c1377, 0xbc81e9a6, 0xe58b2c85, 0x55cae708, 0xaca683ec,
+    0xf1cd74e9, 0x17e54bd4, 0x2d262825, 0x8897c7b6, 0xbb91e0d2, 0xb3c8a9f2, 0x59fe9607, 0x375949ec,
+    0x84c6de7f, 0x5fdd8bd3, 0xdef5b862, 0xefd4623b, 0x9f21ac2e, 0xc070068a, 0x248be1e7, 0x36078739,
+    0xf496184b, 0x1e4abd57, 0x8eae1157, 0x589da843, 0xe9a57641, 0x19138a60, 0xaeff3b04, 0xa490e22d,
+    0x96af4485, 0x1edd93da, 0x552d690a, 0xbfe2ce5a, 0x29cdc03e, 0x0cbbaa4f, 0xd306caac, 0xf964f5e1,
+    0x98595832, 0x6a80d51c, 0xbb3cdb0c, 0x37093ee3, 0x2822bb2d, 0x606d09ab, 0x67bbefe5, 0xd54fa0c5,
+    0x7b49356f, 0xf499e769, 0x0092e8bd, 0x94dd61c1, 0xa108a9ac, 0x5461f8d3, 0x04c17bed, 0xbff013d2,
+    0x0ce0de50, 0xc9b1faeb, 0x908bcc0b, 0x9358b5e4, 0x193f4567, 0xb32824e7, 0x9c3c89fe, 0xde7c87e0,
+    0xff15dcdf, 0xe19d93e6, 0xebd0fe7a, 0x0ecb1fb2, 0x0085ab26, 0x105c5003, 0x04e118b4, 0x4e4a6cc1,
+    0x2ec45648, 0x009bc02e, 0xcfe49c9a, 0xd41c69b0, 0xe391a211, 0x2adaa160, 0x542181e9, 0xd24ae91a,
+    0x4b3823df, 0x0acc5b12, 0x3f0cc120, 0x9f313931, 0x444f745c, 0xde291d77, 0xb2d0d7f6, 0xdb948ad1,
+    0xec71d6a3, 0xd9af3a0f, 0x7d7c978b, 0x5730c6cf, 0xe0bb1052, 0x26d82700, 0x16231616, 0xa11c53b0,
+    0x155436f0, 0xc2decf9a, 0xb5d843b9, 0x327dd2c7, 0x307bbb75, 0x75de5b3a, 0xa9f9792e, 0xc63463e8,
+    0x9a603e9b, 0x165ffc00, 0xe1f7d4f0, 0xeec8125e, 0xc0abe91f, 0x0f4dbb27, 0xb902fa92, 0x11995b06,
+    0x45cc1da9, 0x6b988f5a, 0xb911bccb, 0xc9da5843, 0x62573f72, 0x726e1941, 0x0d5aa073, 0x3cabea4e,
+    0x3abda784, 0x93fafa50, 0xf1143649, 0x233d7e12, 0xc8ef53b4, 0x76e9ff61, 0xa82ef56c, 0xec85aa62,
+    0x1da76d44, 0x34a7fc76, 0x00f9b3cf, 0xf175ff79, 0x4c831a53, 0xdf8052d7, 0xb7598d2e, 0x015eae3d,
+    0x8bf08f3f, 0xb548e172, 0x750a634a, 0xce7f1332, 0xbdffa736, 0x9986994e, 0x375eca02, 0xddc9fdd1,
+    0xb8dc26d2, 0xaa837d35, 0xb551760b, 0x2612b6f9, 0x1a2606c5, 0x8fa4515e, 0x6ceac8e3, 0x7b244854,
+    0x2298f7ca, 0x9f65482a, 0x55c16302, 0x535f0e2b, 0x8fb6f119, 0x05811e82, 0xab35e887, 0x4cf8c258,
+    0x9cb88f46, 0x2b09a507, 0xff9cd3b8, 0x7e370798, 0x5e75be0e, 0x82eac7e2, 0xc0b5190a, 0x70e7489e,
+    0xb2266781, 0xfa4d8837, 0xbb7fb6c6, 0x36e31e01, 0x1d7605d5, 0x4ba5e602, 0xbdfcbd89, 0xc81ba540,
+    0xf751e2b9, 0xb56763be, 0x5e119e9a, 0x3e122adc, 0x10a089e6, 0x868ed583, 0x34978d1e, 0x2a0465c1,
+    0x507a3d48, 0xc0f271c2, 0xf8f58374, 0xf4c447f3, 0x8266dc8f, 0x70e24459, 0x71a970bc, 0x6a013f37,
+    0x4746ed03, 0xc23e2570, 0x571ec19d, 0x012b17dd, 0x6a26a227, 0xbfef56c8, 0x225fdd60, 0x18237ea8,
+    0x2db73679, 0x835b6a08, 0x99a22d71, 0x2dbdb918, 0x21c84c24, 0x428bbb56, 0xf180df77, 0x1adf5038,
+    0xbe58031b, 0x14f912d3, 0x02859338, 0xd481cf0a, 0xa2a5f3a3, 0xc7f71cb7, 0x40b2cc68, 0xbe0dccc5,
+    0x028d867b, 0x5b3412e2, 0x301d3925, 0x303898ce, 0xac2f37ec, 0x92b235cd, 0xfbf9b190, 0xe0f312f4,
+    0xf9e28e0d, 0x7fde05d2, 0x6df9671f, 0xe98ed6c6, 0x5ac24dc1, 0x6fdc17b4, 0x7f421883, 0xf3207433,
+    0xab9a9f8e, 0xb10b4c9f, 0x89704c90, 0x60797369, 0xe4070a03, 0x4522f124, 0xa43af233, 0x1f31a034,
+    0x35e45cb7, 0x4ed7a2d5, 0x91109665, 0x25c085cf, 0x7fe43cdb, 0x1fcf6224, 0x7542a8f5, 0x0d9a3b23,
+    0x789d1942, 0xa37aace2, 0x297eb1d1, 0xd2476219, 0x5fa590f1, 0xe0298675, 0x4d3f113f, 0xd9894aee,
+    0xeb336615, 0x3989bc1a, 0x2717f62f, 0xad425ef2, 0x01ab1e66, 0x4182bf79, 0x2d5460b8, 0x29e891cc,
+    0x327322a5, 0x3bb4194d, 0xafa3869b, 0x8df40dd4, 0xf23ac6f2, 0x9f06f225, 0x77797d8e, 0x259b6fec,
+    0xe8825be4, 0x1fdaeb5f, 0x4ae520cb, 0xefc0a81a, 0xe7ba9e11, 0x100e1546, 0x58527890, 0x4a9bfdbb,
+    0x5f3b767d, 0x84b463d1, 0xf7ccc22d, 0x59187f78, 0x27b2bd9b, 0xbf3d7fca, 0x4c17c750, 0xd0ff9f7d,
+    0x622d5672, 0xca76815e, 0xdcc94c84, 0x7555169d, 0x1c1e15d4, 0x88563781, 0x5947ea80, 0x1982f1db,
+    0x16c98f28, 0x9149e9ec, 0xb515a18c, 0x057cf8c6, 0xc56a2693, 0xdef6112a, 0xb3abef82, 0x482dc609,
+    0xc537a86c, 0x558c20a4, 0x9de7a9f6, 0xc19f0e10, 0x2493e840, 0xbbab4cf1, 0x5c7f776c, 0x905fa195,
+    0xae3e87f4, 0x01f96e86, 0xba2aa9b7, 0xdd116f1b, 0x7910fdf1, 0x21104e43, 0x28f6f92d, 0x196256a1,
+    0xfcff68cd, 0xca945387, 0x04061623, 0x3a99b457, 0xcfc59667, 0x4dd31be8, 0x8e62fa58, 0xbb2a03fb,
+    0x3bd3fde1, 0xb7b94540, 0x09e8fefb, 0xbea0c2cd, 0x0ca871c3, 0x92c300b0, 0x105d62c9, 0xdcf92dac,
+    0x104780a1, 0xd16ddcbc, 0x145ea8f6, 0x29e3a431, 0x4693386e, 0x55ccc825, 0x64e16cf1, 0x01648504,
+    0x1f7531c4, 0x255ba1da, 0xe31295b2, 0x363a1cec, 0xecc2c115, 0xd52eb764, 0x1dec0124, 0x255a7ef5,
+    0x0e9172ba, 0x9758a8f5, 0x39ff769e, 0x2f8e2888, 0xd646150c, 0x0b3e6df5, 0xab2ff046, 0x3210934a,
+    0xe574a513, 0xb6786428, 0xb4b1a43f, 0x4c5ca362, 0x752447df, 0x5b127703, 0x5fa04022, 0xa2f1688e,
+    0x11666036, 0x6b11d169, 0x96067ffd, 0xa1fb66ec, 0xd7e3c928, 0xcf0a8ae4, 0x09ba6f0c, 0xbbab34ee,
+    0xfc79da15, 0x684668a6, 0x5b35de35, 0x90ef5804, 0xdc45bf68, 0x8baceb14, 0xaad3dc89, 0x79090fb7,
+    0xa399c82f, 0x6ba7a8a1, 0x3eb3942a, 0x2a0eee7d, 0x08164fe5, 0x4b019c4f, 0xbab6e6d4, 0x68bbed0a,
+    0x5eabf89b, 0xab2ea5f0, 0x5c0b1cd1, 0xd595473b, 0xd766a47a, 0x9a4fad35, 0x777e7613, 0x697303eb,
+    0xd6b42a6f, 0x2cf3066c, 0x3626f6e4, 0x15883fd4, 0x43b00fce, 0x4a7adc0a, 0xa42249e6, 0x466d2fe6,
+    0x406c6348, 0x28b9b85e, 0xf6c253ed, 0xc260b061, 0x67a7df8a, 0x2afe7e53, 0x25577d9c, 0xfcae9827,
+    0x4da90588, 0xee4b628b, 0x95b4c652, 0x1da7a2a1, 0x780236fd, 0xd810910c, 0x9c9d51d6, 0x208ccc3b,
+    0x28e7d3b0, 0xa1c0b8a6, 0xbd753ae0, 0x76390cc3, 0x0f8be720, 0xe8180b9e, 0x1b574401, 0x94416bed,
+    0x8b64a81b, 0x39c30450, 0x18139541, 0xf88473c1, 0x43d23e7f, 0x66859ef0, 0xb10d8124, 0x1bfa42e4,
+    0xf946165a, 0x5d00a03b, 0x649b2e08, 0x4682f236, 0xa50ed3f2, 0x789c212e, 0xf271b2b0, 0xca6b57d7,
+    0x676c8cf5, 0x7ad0c292, 0x1947317d, 0xa5555e38, 0x35880c3f, 0xe781f6e3, 0x6c4a29f9, 0x27ba7a1f,
+    0x823422f2, 0xf05ef84d, 0x744147dd, 0xc527bc6f, 0x375230e0, 0x677f6e9f, 0x824bdd37, 0x128c795f,
+    0x49d01282, 0xaafd7f8f, 0xd6483195, 0xb273b25e, 0xe2744782, 0x814973e5, 0x2f84b153, 0xa29be9c5,
+    0xbe10c1f0, 0xe55fafbc, 0xeca376bf, 0xd2f24a6a, 0xddc979e6, 0xf9ab896c, 0x0a44147e, 0x896011d8,
+    0x2c63b9cf, 0x397b4894, 0xbfbae9fc, 0x10c1069a, 0x72907be9, 0x7d1901da, 0x54b9e16c, 0x510b16f4,
+    0x6cfdeb0b, 0x70efca24, 0x4ce76ff5, 0x2c7dd118, 0x3585af33, 0x5e901941, 0x8871bea5, 0x80ca0808,
+    0x6785d689, 0x697b292e, 0x5cf03a8b, 0xa5be1152, 0x736f17b6, 0x37ffd44d, 0xde2b3682, 0xb7660811,
+    0xcc8b7e52, 0x552c8872, 0x36b32714, 0xe6f851c7, 0xaa9b38a9, 0xc82c1ebc, 0x206b41be, 0x8453482b,
+    0x4f11724c, 0xab54e392, 0x6de1c582, 0x2b4b9d86, 0x430b1d1b, 0xff741350, 0x4346fcdc, 0x45955dbd,
+    0xa83ced7a, 0xebf125d6, 0xb650808b, 0xa1dfa916, 0xd0c6e32f, 0x37dbd4b0, 0x27bcf741, 0xcc6aac54,
+    0x34a478c9, 0xf5171049, 0x2c162f11, 0xaf143d28, 0xcdd73914, 0xc09d1ab3, 0x690771c6, 0x448523e9,
+    0xc894cdf6, 0x84429707, 0xdd405c32, 0xe94de0da, 0x83d154df, 0xa40a0373, 0xf4e7c968, 0xd4a3a936,
+    0xa31dcc34, 0xd15ed45c, 0xfcc1489b, 0x5c9b3a3e, 0x9e10f04a, 0x4f24ee2f, 0x1c3215cf, 0x1cfca8e0,
+    0x36f1b52a, 0xd07d0a04, 0x55dbd739, 0x0cca9495, 0xdbd7d5b4, 0x7291d8ee, 0xd1422030, 0x9bf1706c,
+    0xaa4a237f, 0x640b39d5, 0x584fc3e4, 0xa5bffacb, 0xcfa8ec8d, 0x38542e0f, 0xf71ddf61, 0x67e625b3,
+    0xfe36f4f9, 0x19d07440, 0xd0e74624, 0x316d14c2, 0x11f85780, 0x20bd4090, 0xc49c7a73, 0x7675b0c1,
+    0xef5d7b75, 0xb0e800dc, 0x0b8a2f2a, 0x2b5f74b6, 0x1f23423c, 0x99ce4ce8, 0x33fc852f, 0xf7e99c58,
+    0x22d19ed0, 0x7a4299af, 0x27c07930, 0x897eafa1, 0xea2e2e60, 0x38b79a3d, 0xc25be6d9, 0x5ea96d93,
+    0xfd5bc3ed, 0x8943a43e, 0x61fa0aa0, 0x619a8962, 0x7095d82b, 0xc9793f25, 0xa4919861, 0xa4335eab,
+    0x54766666, 0x415c14e5, 0x1a2411a4, 0xa6317bfc, 0x7f5cb14a, 0x6b03e277, 0xb2f7274a, 0xd88be81b,
+    0x0e3caed9, 0xb7b48865, 0xae7a8289, 0xa9bdda24, 0xdc8d350a, 0x6e3ea277, 0x6e471dda, 0xc711165a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000356811923176489970264571492362373784095686656 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fb, 0x699b2d89,
+    0x00000000,
+    0xd723c0a1, 0xe3950298, 0x0efb4510, 0x93a84313, 0x8930fdcf, 0xdf83318d, 0x553b7861, 0x63077711,
+    0xb90d1cf2, 0xe8d92cac, 0xaaac2a70, 0x225f4638, 0xa38de032, 0xc8cea104, 0xcd23bd6c, 0x1b9e6551,
+    0x659690ed, 0xfd4221fc, 0x85f5039a, 0x1badad2e, 0xc75a4ebf, 0x8de448dd, 0x2fbf1427, 0x8625b60a,
+    0xd17edfec, 0x5b451a78, 0x30f36b0e, 0xfd277fe0, 0xa2613e74, 0xb7ad9f3a, 0xcbfe965a, 0xe286abb9,
+    0xf42a4241, 0x1c26b5f5, 0x40bf8ec8, 0xd8187be5, 0x0d7a24c6, 0x1d046094, 0xb85f31e1, 0xe03ab8a4,
+    0x28259ef5, 0xd6f7cc39, 0x294a10ca, 0xbd2d6881, 0x63630bc1, 0xb67a4195, 0x551da21b, 0x5ee5eeb2,
+    0xaca5f198, 0x1da46af5, 0x17b00649, 0xa0497e0c, 0x9c4d818c, 0x42584b17, 0x140e8364, 0x9992b080,
+    0xaa6a4a7f, 0xbce8c82c, 0xdbe2cfbc, 0x0ce46a4b, 0xbf1e5211, 0xa8d8894e, 0x4b2986ff, 0x3abc1482,
+    0x68fb062c, 0x939fc0ab, 0x440d0cf4, 0x98e4d48c, 0x0e269055, 0xb7ce4771, 0x864e5e31, 0x0c4644bf,
+    0x25277ac5, 0x0866a37a, 0xfb9f89df, 0xb18be774, 0x633203e2, 0xa415a9b4, 0xd1ffbeba, 0x39552a12,
+    0x3a60188b, 0x9a185e4e, 0xc6042e73, 0xec2eded2, 0xd8ca535b, 0x1587c017, 0x85b8f0af, 0x722e1236,
+    0xe5ee2fa5, 0xe2957bb7, 0x66798a2f, 0xc4052225, 0xbb6ab519, 0xa563a9c4, 0x2afee08a, 0xee55517a,
+    0xfe898cb8, 0x5378726a, 0x3efdd535, 0x194bc4dc, 0x8c9dcc75, 0x83409d4d, 0xe3e97628, 0x7c011ba5,
+    0x6d030fee, 0xdf83b1c4, 0xb77f0f30, 0x46b2a29d, 0xea7cac57, 0xe41cc5b5, 0xa9b68df1, 0x8b8b56fb,
+    0x61736c7b, 0xc89b64a7, 0x4391bead, 0x11f983e4, 0x69d697d5, 0xa68491b0, 0xa3621f54, 0x0c38fb9d,
+    0xc7c8f233, 0x13ac817b, 0x332a4cd5, 0xb62f999b, 0xf02600d7, 0x4f974973, 0xa5998e9e, 0xc2d20b33,
+    0xf13e8f6d, 0xde363656, 0x588b10e1, 0xaf4a2121, 0x332c49f5, 0x4b0bcf2b, 0x3590c1ac, 0x8630f5dd,
+    0x72e5e3f8, 0x35086165, 0xd29c277f, 0x554cf0a0, 0xc4c75609, 0x04f48120, 0xd717f871, 0x3353587b,
+    0x17851546, 0x325af598, 0x71a17f25, 0x1a217a4f, 0xd4486fb0, 0x255a6f3b, 0xc53c9419, 0xc2cf22af,
+    0xa5b584fa, 0x3a6bb7ad, 0x05e04758, 0xd2d27ebf, 0x0cbe3033, 0xb0f9e338, 0x27ad0012, 0xdd2c2514,
+    0x1bf03c30, 0x4cb30ecb, 0x3aca7ab5, 0x12fe0964, 0xb1df1e0a, 0x1acb1c80, 0xcdf7f535, 0xe51178c6,
+    0xee0fc6f1, 0x1260d38a, 0x9318b9b6, 0x98f87489, 0x6f6c15c4, 0xf2585822, 0xa4c67ece, 0x4de65101,
+    0xff7b2588, 0xd1afcde4, 0x8684b8ff, 0xaafd6ec8, 0xafaee1c3, 0xf29a331b, 0xccf4e7c9, 0xfd0be6b4,
+    0xb424bbcd, 0x5c6824c7, 0x7208d0a9, 0x095ead52, 0x29122f10, 0x8e7ce83e, 0x5d00e671, 0x91073227,
+    0x7f90bfb4, 0x1e15ea87, 0xa964dd14, 0x173cb5ba, 0xf9aec732, 0x22a034c4, 0xbc27be79, 0xaea61380,
+    0xf5d99e13, 0x4be08aca, 0x37e838b0, 0xa703a5ef, 0x0683791a, 0x488cd468, 0xa76e9f74, 0x62d4a5b1,
+    0xdd491b22, 0x2957fd1b, 0xa2ffd5fb, 0xfb9fad02, 0x9c2a3e85, 0xf8988d68, 0x9159920e, 0xe1c36cb2,
+    0xb0f75eee, 0x89d89a82, 0xe92802aa, 0x2d26c42e, 0xbf9a5eb8, 0x4e55d699, 0x1d02cfde, 0xf43fc95c,
+    0xe9d9d727, 0xe94e641d, 0xd93afcaf, 0xdd961d29, 0x3b55355d, 0x0ad76e14, 0x65cec8a7, 0x87816ebd,
+    0xca260597, 0xe4b10603, 0xb51ec6a8, 0x964859af, 0x45c39c82, 0x7cda20bf, 0xc42b7be3, 0x804c32b1,
+    0xa9a1e5de, 0x7748e838, 0xfef81c13, 0x2987f3c2, 0x2a04a3b5, 0xf9a52551, 0x77216f6a, 0x3a9dffe9,
+    0xc0ea9f3a, 0x86f1b10f, 0x2d4b4198, 0x0014e7ac, 0x0d978b61, 0x810a52f3, 0xa9467ad3, 0xaa4ca878,
+    0xade7b339, 0x7682d376, 0xd2318caf, 0x80482b76, 0x8021a684, 0x577b5ff0, 0x82a28797, 0xb2eab07d,
+    0xb7ede7e6, 0xf8e12bfd, 0xf6027d35, 0x1357341c, 0x85e542e9, 0xdff056f7, 0xf84d4cf0, 0x98977f3a,
+    0x51a5b267, 0xaec126b9, 0x71deb6ca, 0xe445541e, 0xaedff47f, 0x397111a4, 0xc060179f, 0xd79d43cf,
+    0x2f5541dd, 0x455065cb, 0x03b66325, 0xc56f4646, 0x31d85165, 0x0668e312, 0x4babb1c4, 0xeaca0b2d,
+    0x2277c47d, 0x07c7d718, 0xa862bdbd, 0x371f38f5, 0xbd26437d, 0x2dca7259, 0x1f7d8b12, 0x25b1e841,
+    0xc807f167, 0x5dc31680, 0x39bb136a, 0x9b1291fe, 0xf0718fc4, 0x28a169bd, 0xff71b1e7, 0x745ca008,
+    0xc60bfce7, 0xae09549b, 0xf95a7975, 0x8fa4edc9, 0xac1cd91a, 0x7fed4046, 0x7edac242, 0x9eefa27a,
+    0xef227de0, 0x36cf4df1, 0x6d07bdc2, 0x257e33e7, 0xe3c602be, 0xa1b573e1, 0x84331137, 0x751fdd0b,
+    0x643ef1fd, 0x29acd935, 0xd2a8a690, 0x24cb4645, 0x1b9a0107, 0x4847079c, 0x563254d2, 0x415cc7bf,
+    0xe7ea533d, 0x8d5aa51c, 0x3db063a6, 0x8ba4eb3b, 0x63b07a4c, 0x6735bb2c, 0xda4ee60d, 0xf94ca279,
+    0x85888c85, 0x79900766, 0x199c6695, 0x7fb45bb8, 0x1f772fd7, 0x83ce332d, 0x5f47ed16, 0xa28fbb8e,
+    0x213cc19a, 0x35cf9dcf, 0x0aae7893, 0x92da4494, 0xdabab607, 0xe9d5056a, 0xd3cd8b83, 0xdc9574e2,
+    0x54fdf85e, 0x1dc04a13, 0x4ea22e00, 0x0bb20034, 0xa49ac2dc, 0x3c4ffe96, 0x0112182d, 0x4b5bc3c1,
+    0x5ea5e638, 0x3f48df0b, 0x45d60602, 0xf36eacfe, 0x1fdb7795, 0xfc267b12, 0xb7f19d55, 0xf6e9ccca,
+    0xd701a182, 0x82e8593d, 0x3f81e128, 0x984bd252, 0x537cf5a6, 0x20b077eb, 0x04fa25af, 0x020ac7cf,
+    0xa353bba1, 0xca97438f, 0x3638f4bc, 0xdd067aa0, 0x9f27dc1f, 0xad5f9305, 0x4dec6792, 0xa006ed40,
+    0xd64271b8, 0x04b67ab1, 0xae2d2d21, 0x09be5a24, 0x804b328f, 0x3480cc0c, 0x8a286980, 0x03049be4,
+    0x585c9f3a, 0xa045dcd4, 0x7da3eb0a, 0x750f7691, 0x59210312, 0xb1d25dec, 0xd9691d5d, 0x20649714,
+    0xa023e49a, 0x9a9e0737, 0xceb13e88, 0xeb5374ea, 0x40ed27ed, 0x3c37b274, 0xec4b3926, 0x7a5cf846,
+    0x1872c80f, 0xef0336f0, 0xa3e0257c, 0x1964ed5e, 0xdff0eaab, 0xe51e9c81, 0x630cd745, 0x5185ef70,
+    0xfe4096fb, 0x2b6c17a0, 0x5964c785, 0x2d12bd32, 0x83f193cf, 0x9a476eb1, 0xb3963a25, 0xa195bb7c,
+    0x9885732e, 0x66b94e3b, 0x183f44bd, 0xcc70b3f2, 0x3acca8c4, 0x93502903, 0x370a7af5, 0xfdbe82aa,
+    0x7e038aff, 0xbbc23456, 0x5ab9c61b, 0x31092e82, 0x1a8a7c71, 0xf93329e0, 0xb32f6258, 0x9fbc6070,
+    0xb0e636a2, 0xcbafbe52, 0x92fda429, 0xe0d12f67, 0xf0e45ec6, 0xacfe5312, 0x612fdbf4, 0x62a6ece3,
+    0x3706d856, 0x49107455, 0xab160daf, 0xba9bea47, 0x754894e0, 0xa3f278e5, 0x643518d7, 0x63bbad99,
+    0xb75e096b, 0x3e204591, 0x639f5fa4, 0x8ef2713b, 0xf4181265, 0x72c7b183, 0x115c80a7, 0xb8cfc68b,
+    0xd8d7a1d2, 0xe0f95553, 0x65959c4d, 0x1d6f1b40, 0xd1e65f32, 0xa8f9da5e, 0x30abd3cd, 0x2bd8b06b,
+    0x70409e23, 0x8246816d, 0x917b6154, 0xa9377d86, 0x49d429fa, 0x9e1c888e, 0x28925a2d, 0x6defb274,
+    0x2fa2db02, 0x3cfac954, 0xc68c6632, 0x2fc1ed2e, 0x85b0d033, 0x14033fe2, 0x3ce2d2a7, 0x80934184,
+    0x45f81132, 0x6ced2a99, 0x42ff1c78, 0x38d5a36c, 0xac6353cf, 0x53033129, 0xd35acb19, 0x6583fb90,
+    0x885a94c9, 0x7b88a52d, 0x726a976e, 0x4f6f5154, 0xe158c714, 0x5fab28a8, 0x84b31064, 0x0553a622,
+    0x1e26b2b7, 0x814019e7, 0x9ae467ef, 0x80c13e30, 0x72943650, 0x1567715b, 0xaa41b5b9, 0x60553535,
+    0xdb475bd5, 0x6f7c7eb7, 0x1c1f7fce, 0x821f783e, 0xa451a7d8, 0x55ec2ee7, 0x344ba081, 0xe3d8f925,
+    0x67e45e21, 0xbfe051b8, 0x0cab3971, 0x043faa0f, 0x1d35c8d4, 0xec61a7d9, 0x2ea02520, 0xb9e8ff99,
+    0xaf5c6dd6, 0x4f27d814, 0x8cbbcc8e, 0xeb3c0e28, 0x947c508e, 0xa6a32487, 0x7421c8d8, 0x4c419b54,
+    0x344d06b6, 0xf96a2b02, 0x003fbd37, 0x96175ba6, 0x02c6d6bd, 0x7bd5133b, 0x579b6e6e, 0x69ed352d,
+    0x356ed0d6, 0x7cbec81c, 0xa8fc7517, 0x0c6793be, 0x517bd82a, 0xdf5a36eb, 0xf51296db, 0xe9db5161,
+    0x0bd28a78, 0x792605dd, 0x66e00ef8, 0xdb27e4fc, 0x5497bd59, 0x1e79f8e4, 0xf16c2180, 0x99e3f646,
+    0xb94a7e35, 0xd5e872a4, 0xd30b7b9c, 0x62ad5eb2, 0xf71e60ea, 0x97a75f6a, 0xde002a29, 0x8ad919e9,
+    0x518b0fb5, 0xd82955a7, 0x5829f3ca, 0x1038ada6, 0xc6053120, 0x870f9b86, 0x168428f0, 0xba95ba32,
+    0x305cddd1, 0x1b7d6a31, 0xe01a2b44, 0x5a779903, 0xd0032cfc, 0xe013231e, 0x6481b393, 0x9a790d8e,
+    0xc1509e1a, 0x5df33e75, 0x2129dbba, 0x8f43ef25, 0xa771eec0, 0x5d19e0b0, 0x2eec6407, 0x97bbdd2f,
+    0xce80903a, 0x45f0b1f9, 0x8578fd33, 0x1fd54874, 0x8c86fd34, 0xd91d7226, 0x76d81990, 0x21cab304,
+    0x9aa1cc0d, 0x7ca43016, 0x81a165bf, 0x1a507d75, 0xd2ce4a9a, 0x96124d0f, 0x80a35295, 0x1e35aa76,
+    0x03e0fa46, 0x1f4b654c, 0x5f265cb4, 0xef6dcfc4, 0x5be0045c, 0xfb2e8b6d, 0xbce1cbbd, 0x8417f845,
+    0x73aba2af, 0xe939d7c2, 0x5aed725a, 0x9558e4a1, 0x524d1b7f, 0xb9b3d6c4, 0x63ac6f85, 0xc4d54abf,
+    0x1b78f1a9, 0xf55a29dd, 0xf5a3ea54, 0xde32ae84, 0xf7cf7392, 0x341b4372, 0x565a857a, 0x76bfa8ff,
+    0xd5a427cf, 0xa70451fe, 0x1c393116, 0x91cf1832, 0x66d1343a, 0x1af88cd3, 0x24b2a8c8, 0x5fe4c45e,
+    0xce604a44, 0xa01ec99b, 0x8bb62742, 0xcacaec89, 0xa915039f, 0x31b4e5e8, 0xf1f004fe, 0xcd98a3b2,
+    0xf10e2b7f, 0x3e47f4d5, 0xe968e4fd, 0xb8208097, 0x0c6c0b11, 0xcd14c2fc, 0x1eea80e1, 0xc32c14c0,
+    0x77190887, 0xf6e30627, 0xefffb191, 0xbc90ae65, 0x88b0f3ca, 0x4cdd38b7, 0x3f04ae9b, 0xc58d4828,
+    0x0c818ebc, 0xebd12e52, 0x05d7cccb, 0xb6a3682d, 0xc1cdb2d8, 0x609cbd97, 0xef12f21d, 0x9af00f7b,
+    0xe7de1b2e, 0xc03c624a, 0x3f38c93a, 0x152fed43, 0xbcaf1e71, 0xd0ae87df, 0x981bd36d, 0x19b0a960,
+    0xa6fef54b, 0x8f5d7503, 0x53b912bf, 0x1c3c9dd0, 0x9cd2c25e, 0xdf7ea64c, 0x2b1e6aea, 0x16a792da,
+    0x4647ab61, 0xd78b33d3, 0xb60e6320, 0x90dbec41, 0x63d983f3, 0x75e17481, 0x81d1899c, 0x66b6901e,
+    0x056e6795, 0xb8ccbf03, 0x810f548b, 0x05fb60ad, 0xdac7e42e, 0x8ddc64fd, 0x6bc85e53, 0xbc69444c,
+    0x4c7d9b77, 0x4969fd13, 0xab2de8ba, 0x80fca453, 0x540d457b, 0x8b731582, 0x2566f8ea, 0x3ba39d74,
+    0x37b6feb9, 0x931f07f3, 0x4c13a796, 0x29375471, 0xa9511a91, 0x96e6976f, 0x1d8d7eab, 0xf2a7b93a,
+    0xbd4c09bd, 0x67ad94ea, 0xfd7efa31, 0x132fd947, 0x9dcf7247, 0xf66bd1ac, 0xe20890ab, 0x2b4ba879,
+    0x31cc3931, 0xe23c38d7, 0x096032c0, 0x9dac12c3, 0x7202a1ae, 0xec3fd512, 0xbaab9b1e, 0x5aff0c34,
+    0xce2699c7, 0x93f9988e, 0xb7b39f79, 0x1a9f806b, 0xac3038b9, 0xb3427e49, 0x0c9388c8, 0x36f06316,
+    0x1d81fade, 0x0bea689f, 0xb854276c, 0x0afb5b0f, 0x915e4598, 0xc16d4806, 0x9c6b7f43, 0x1de01484,
+    0xfa0ad6be, 0x04116130, 0x070914b2, 0x61ee9482, 0x3a880b41, 0x8ba7dfc2, 0x40e0b0ad, 0x1c7dd7fe,
+    0xad2f5e14, 0xb83b3173, 0x0c2ef863, 0x6e3a30d3, 0xd1bb8888, 0x82910510, 0xd76556bf, 0x39bcfdcc,
+    0xbe282a24, 0xa6ed186d, 0xefd352f2, 0xab4d25e9, 0x825d7d85, 0xd83c5f2c, 0xa93224f6, 0xf1d5193a,
+    0xad2344dd, 0xaecddb3f, 0x5e051fcf, 0x41eace7d, 0x7b092d18, 0xca7952e7, 0x3ba57a05, 0xb13f4fe5,
+    0xe9468d29, 0x3fb8264d, 0x851a396d, 0x9a5048f1, 0x89ba31a3, 0x7bb0f7b9, 0x627d17ad, 0xc578d408,
+    0xc7c6fde7, 0xfc5b26ed, 0xbe8e3480, 0x391c5e45, 0xeef4e2a8, 0xb1246d21, 0x3584d408, 0xbc183675,
+    0x1a1c8477, 0x63995b6c, 0xf1b0c416, 0xd0010f90, 0x2d8cf581, 0x4434261c, 0x05767170, 0x6a7785d6,
+    0x95519bb7, 0xe64970f4, 0x1d2ab709, 0xad7b5fb7, 0x17e781f7, 0x4826acd4, 0x51f08f95, 0x08855ca1,
+    0x2d3cae04, 0x9f8094a8, 0x7959ff27, 0xe9b1230c, 0xc936a1a3, 0x8f0d866f, 0x6e83bc5e, 0x8525ed18,
+    0x7da48a72, 0x9ec55f0b, 0x8eee90a1, 0x8f22a95a, 0x1789e859, 0xb0e753c4, 0x500f0a45, 0x5121f190,
+    0xddad3574, 0xe2897f88, 0xd6c4b1a1, 0xdbd57ae2, 0x1fa7d948, 0xba8f1fc7, 0x0793fc11, 0x874941dd,
+    0x35d72de9, 0x8f0d01b7, 0x4353aca8, 0x09084f3e, 0x0ce32313, 0x87c07975, 0xaeca5d4b, 0x335695e1,
+    0x2833a232, 0xd12560b6, 0xfb54983c, 0x243cc8ce, 0x89eda003, 0x970491ff, 0x26f77e66, 0xbc9d166b,
+    0xc6b85639, 0x2c2f7d15, 0xddf68be9, 0x417b1431, 0x7eafecf9, 0x75df1fa2, 0xf2a1b6c6, 0x52e3ee94,
+    0xa63c5e23, 0x205f09b8, 0x49736326, 0x321c313d, 0x614a7868, 0xcbaedfdd, 0x925c493a, 0x180d1483,
+    0xb5270e76, 0xbc4985f2, 0xb8a1f79c, 0xb8edcad1, 0xe8397d71, 0x74413485, 0x5d553207, 0x458729b1,
+    0x37c9408e, 0xfa12d853, 0x9334b2b7, 0x3c87759a, 0xbc2810a5, 0x3c358796, 0x3c11a0ee, 0xc0cdfdb7,
+    0xa35f5dfc, 0x43ca0f3a, 0x8c163d24, 0x4637a5fa, 0xcb88d720, 0xf0f348dc, 0x0d38ded5, 0x9b498919,
+    0xfadd5b45, 0x6b8248b5, 0x975fba4c, 0x75860fab, 0x6e44b132, 0xa86b41d5, 0xcbac8534, 0xe7184cdd,
+    0x43786ab0, 0xcb591fd5, 0x153e4c84, 0xf33d9a28, 0xe141842b, 0x64faa733, 0x4f48a2f7, 0xf51dc48e,
+    0x65fc1cb7, 0xe8eb1b83, 0x4af22981, 0x80293baf, 0xa904d4f9, 0xe586d3a4, 0x23748653, 0x94e00cd2,
+    0xc85a0c76, 0x27a031a3, 0x8fea8b10, 0xf65a2e01, 0xfadb7841, 0x02425616, 0x311483a7, 0xe2061b5d,
+    0xa3cee884, 0x121fdb4c, 0x2c1052fe, 0x381c64ab, 0x7c010a1b, 0x0a813109, 0xc327aa99, 0x73d404d2,
+    0xf668796c, 0x970ca423, 0xdc9a14d0, 0x63ddd30d, 0xc29a8a64, 0x90d35ae3, 0x7deb052d, 0xcfe171e0,
+    0xa6dfd95e, 0x80c38de0, 0xf51b7421, 0x175ab5f4, 0x3cadba6c, 0xa1dced43, 0x8baa5495, 0xc882b6e6,
+    0xcfcdf495, 0xa451889d, 0x3b0a2967, 0x4d8fddd7, 0x2537bae4, 0x6a928dfd, 0x182f6167, 0xf292e984,
+    0x97472f85, 0x256e4ac4, 0x4c44ef63, 0x2caa7ffe, 0x0ce41901, 0x11a6e2f8, 0xa83f0cbd, 0x468ac2b4,
+    0x121d29a2, 0xfb3c2315, 0x25987048, 0x29e199a4, 0xb3825be3, 0xb82935bd, 0x69be3b1a, 0x44dcadd4,
+    0x4b7bb0d8, 0x9740b51f, 0x2d50c34d, 0xf5d27569, 0x15156c3d, 0x080d0d78, 0x5279558e, 0x3ec474ad,
+    0xad8c9426, 0x2b165b1a, 0x10384ed8, 0xe96dc44f, 0x741ab21e, 0xe216e711, 0xd0601204, 0xd24c3213,
+    0x719f62b0, 0xa457f85e, 0x143fddc8, 0x25b16403, 0x526001ca, 0x555a27a1, 0xfdaa79e0, 0x5e46ac00,
+    0x2025cefb, 0xd10e3995, 0x24d6223c, 0x63b46137, 0x0a9ffc48, 0x10d5f2fa, 0xf13cb324, 0x2914d822,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000178405961588244985132285746181186892047843328 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafd, 0xb4cd96c4,
+    0x00000000,
+    0xa5f205d2, 0xf43a0fa1, 0xd512b12e, 0x19501746, 0xa2e4e5b0, 0x11f4135c, 0x4bbb7735, 0xa2ca0e7f,
+    0x5a1c450b, 0xc2ed3de5, 0x0fee73ea, 0xee7d28d7, 0x77fba353, 0xc4e26bfe, 0x81b6bf70, 0x0f6631a9,
+    0xf6b88322, 0xaec77b3a, 0x255c209b, 0xa604696c, 0x2ea3efa5, 0xfa12356c, 0x5031d769, 0xc903924f,
+    0x3333a269, 0x00060d26, 0xfd4b82b8, 0x03213356, 0x83445cd6, 0x9cc15426, 0x9c071cbf, 0x4f40bf86,
+    0x24876614, 0x4122a23f, 0x91ecd52f, 0xe0bdd4b7, 0xc2136a5d, 0x4a700ac2, 0x665462a8, 0x0a20ed6b,
+    0x0f448a2b, 0x790e16ce, 0xa7174eeb, 0x6578583e, 0xedcdf0db, 0x06836422, 0xb06ba2c0, 0x51aaa4d0,
+    0x81ec93a5, 0xc745dfb1, 0xb200e4b9, 0x2057bbb9, 0x68843ea7, 0xa3ef013c, 0x842d0fd0, 0xfb6f664f,
+    0x144d980c, 0xe066b424, 0x9eeda814, 0xd975309c, 0xfff5d385, 0x68b21786, 0xc004726b, 0x409b6cc1,
+    0xd1283b5e, 0xc42032e9, 0x00f9c4c8, 0xa357d9b2, 0x86392a84, 0x41be60f5, 0xd401298f, 0x0e5d70af,
+    0x7fc70455, 0x2988a32d, 0x8898a74b, 0x087838dc, 0xd1d87884, 0x23c06437, 0xfd8386d9, 0xe3ccd610,
+    0x4985fc04, 0xc2164fdb, 0x64bf6bd3, 0xfd934c6b, 0x18ddc20e, 0x596aeeae, 0x49ee9423, 0x17d37ec7,
+    0xc6676111, 0xbaf60405, 0x4151f1f2, 0x799d5b26, 0x04cf5611, 0xf93b8e21, 0xc8bbd436, 0x647ff685,
+    0x8cfed53c, 0xff6994d7, 0xc14b1b07, 0x57453cc0, 0x2b20060a, 0x137efb00, 0xecb02d00, 0xd71ce0b3,
+    0xd6ab6d14, 0x2b9d5f7d, 0x648d03d8, 0x8ebe355b, 0x518194f0, 0x3adec48a, 0x73d95167, 0xff5e283b,
+    0x6b2901d5, 0x372007c5, 0xb07bdce8, 0xa55f4df6, 0x63d81f61, 0x7e5f9585, 0x8cf056dd, 0xdba62435,
+    0x9eca9723, 0x9d97d53d, 0x5e0ca846, 0xaa097077, 0x54a344b6, 0x2a43a271, 0xc491855f, 0x14a21d6e,
+    0x2b71b496, 0x2d913c57, 0x2aefa27d, 0x46c5ec2f, 0x4f148f08, 0x717cf1c9, 0xfcf6e70b, 0x39c8b0c8,
+    0xe310b27d, 0x7a4affb3, 0x6fc2db2f, 0x2ce9446d, 0xbfe03289, 0x426ad0c3, 0x17832cd7, 0x1283d946,
+    0x4f469509, 0x8f4ebb19, 0xbf363e06, 0xe626cfd1, 0xb7d2682d, 0xbcdd2801, 0x2982f712, 0x430a608f,
+    0x58c7a344, 0xaf99b430, 0xbc57ed48, 0x015c3aae, 0x3729b160, 0x85e17623, 0xb1824c05, 0x8dda17e1,
+    0xc7180135, 0xc7a93861, 0x47c5c637, 0xd6bd49af, 0x6edea237, 0xb769fb13, 0xf864fd59, 0x2c4dcf2f,
+    0xa623edbf, 0x6296f1b3, 0xa00cd43c, 0x1903fa9a, 0x67be6b15, 0x4a591be7, 0xdeb08fd0, 0x06d055ab,
+    0xb76d39d8, 0xe3e5360a, 0x49c114f0, 0xcf253ec3, 0xa9cc3112, 0xfd4bbe14, 0xecd73e24, 0xf79a1200,
+    0xe146b906, 0x21fdfe2f, 0xe109f899, 0x4eb9b01c, 0x1eb45966, 0x2d0438e1, 0x705010a1, 0x69f3bd19,
+    0x538a9115, 0x3b09b697, 0x3ee55f51, 0xcaaf8ab1, 0xbdda7fcd, 0x90574fb8, 0x993415af, 0x7a2dc46a,
+    0xa2043567, 0x5dd34bb5, 0x00f3645a, 0x83d68d83, 0xf75c476c, 0x04adafaa, 0x9cbefb2d, 0x3f1b86f0,
+    0x93676973, 0x2acb136a, 0x47298821, 0x1343340f, 0x4e9db0a7, 0x37a0a596, 0x54cb9cf0, 0x8638a612,
+    0xe34577b0, 0x9c0587b9, 0x1856cc68, 0xd97d1888, 0xf0f1dbea, 0xee92555a, 0xc777f9d3, 0x731164f3,
+    0xd0783652, 0xf204e038, 0xec8799fe, 0x677645aa, 0x363c35e0, 0x750cb7d1, 0xf7319c73, 0x2de06d69,
+    0x1c4d3aca, 0x362f8653, 0x1bcb3941, 0xe0ae3bd4, 0x80d85216, 0x4daed22c, 0xc7e80930, 0x9759f52a,
+    0x93475d66, 0x4bc27c7b, 0xff2c056f, 0xf4711546, 0xbc95af2e, 0xae58869e, 0xab4c4527, 0x91363ded,
+    0x4d732cc1, 0x7a8b1330, 0x21e5592e, 0xea69bf33, 0x4c9c16ff, 0xc4e0fc80, 0x4f3e925b, 0xd92d7349,
+    0x97995c3f, 0x20d32c85, 0xac39b1f9, 0x8d859361, 0xc1945f63, 0x8ee8fb17, 0xa78e6819, 0x7faa4f67,
+    0x5e152d7d, 0xcb209a24, 0xf85ec8dd, 0x9fce405a, 0xc3c4bc99, 0x6ccf7a77, 0xfa5b145e, 0x1cddce03,
+    0x00ab76ae, 0x71a2812d, 0x01786331, 0xd2569f7b, 0xac43fe20, 0xb2f80070, 0x39c23c8c, 0x39899176,
+    0xa65fd20e, 0x706592e7, 0x973e4fe6, 0x0f552620, 0xb23d7c57, 0x98cc945b, 0xfa73be56, 0x053dbae0,
+    0x05dac305, 0x1218ff59, 0xdb51fc9d, 0xa0ac9127, 0x52c26b32, 0x3c731242, 0x0c3ede11, 0xce3f088b,
+    0x74438442, 0x396079e9, 0xd9d9c3ad, 0x166e64c9, 0x5010c8a2, 0x1f2af76b, 0xe6d851d9, 0xe12b7f71,
+    0x0a872097, 0x8d8c0a1b, 0xc3d520b3, 0x232b00ba, 0xd9355035, 0xcb6a4dba, 0x2e5cb571, 0xc431af91,
+    0xb985f71b, 0x5a4e4853, 0x95864150, 0x23415b64, 0xd1fc5600, 0x1deae5ef, 0x19ddaba0, 0x639b5211,
+    0x70f51ad2, 0x7595e354, 0x415349ae, 0xd04d9587, 0x786c3744, 0xcc2885ec, 0xaac96e85, 0xd3aa3070,
+    0x38ba99ef, 0x9fde0ef4, 0x5320c313, 0xc4bbe32a, 0xd51c1de5, 0xa0e81236, 0x0d83573c, 0x666e0821,
+    0x25bc6d3e, 0x6cd085c4, 0x7afbc150, 0xab3e4dee, 0x8d3f31bf, 0x4d9ce3c2, 0xa0bb2a77, 0x2d7477c6,
+    0xea2cde17, 0xc329efd9, 0x90ec64bd, 0xeb241f9a, 0x6b52bda8, 0xbeec2f43, 0x1bbb5f2c, 0xbeeade42,
+    0xa3aa96cc, 0xcf1cf5e3, 0x83bec8f1, 0x725b2fbc, 0xf3c921b8, 0x6ec2dddd, 0x32d53063, 0x3746bf45,
+    0x877f68e7, 0x9d20de64, 0xcf5e70bf, 0x757ecaab, 0x0b7cda5b, 0xcd70a0ae, 0x4fb77c2a, 0x1bc5109d,
+    0x590e2ee4, 0x9819cb1a, 0xf5061b2d, 0x4769b689, 0xf137db0c, 0x74338f0f, 0xc6e52870, 0x0bc189a3,
+    0xa11ee5a0, 0x649ffe3e, 0xe71c34ba, 0xcc8ee12a, 0x5fff7033, 0x9443810f, 0x26d19718, 0x44c27e29,
+    0x4aa87909, 0x858e6566, 0xdfa5903d, 0x5c41811c, 0x3d8f666a, 0x55f9e180, 0xc83466b9, 0x5af4ed3c,
+    0xcceda1fc, 0x1462eb60, 0xa1e9ac3d, 0x6d2017b5, 0xfb912398, 0x0a6f2e5b, 0x0d8732dc, 0x6e9a2ed4,
+    0x8ff94c54, 0x00912fbe, 0xcd2fdd20, 0x45294987, 0xaefe2665, 0x5d1bdbf1, 0x07297d63, 0xd06dfe79,
+    0x1bb5a10f, 0xabc4e396, 0x0474b0cb, 0x810a67f7, 0x349b0b53, 0x97fdef6a, 0x72bbd477, 0x28d31126,
+    0xaf8c4c09, 0xe8505856, 0x4bfe2a0d, 0xc3a31cf2, 0x79bad391, 0xa45b882c, 0xb2a5a84d, 0x0d333bb6,
+    0x3f1a79f6, 0x2e90c4bf, 0x1ceac584, 0x84dc3143, 0x827729e9, 0xd7b9a978, 0xc40fb5c7, 0x95c34fde,
+    0x8932c0c1, 0x217d1ff1, 0xa7ff9347, 0xbf90e61b, 0x120a8280, 0xe0018f5a, 0x0549c09f, 0x6959e4b8,
+    0x33a6777b, 0x31d44f44, 0xc535386c, 0x9c3bb08d, 0x134c6d26, 0x2c12fcc5, 0xd65e567c, 0x2efa5d2c,
+    0xef651109, 0xdb8454a6, 0xdfd437d6, 0x5b147c0e, 0xf7999825, 0xd898a225, 0x20a33149, 0xcdd35743,
+    0x5686e2ac, 0xc41ef680, 0xb49545aa, 0xbfc22783, 0x1e102bfd, 0xa02c4fa6, 0xaca8e2ca, 0x23b08bad,
+    0xc72a93fc, 0x9f9158f5, 0xc46837a3, 0xf69db3f4, 0xa2fc95a7, 0xe6dc24ef, 0x28f5eb9d, 0xafcf8a9c,
+    0xc5b22c75, 0x0bb6bf1d, 0xf6b4ffac, 0x7c4f059c, 0x287a251f, 0x58cc5bc7, 0x59b09a7e, 0x4bdc8c65,
+    0xd2f8f663, 0x3866f86c, 0x291e3934, 0x0ccd2c35, 0x6707ea13, 0x4b2b1c29, 0xbc681c89, 0xa9232237,
+    0x3a95eec2, 0x53afa5bc, 0xd3c5fce4, 0x180c4e58, 0xa000a5df, 0x28038cf1, 0xd7b4a3dc, 0x0841cfc5,
+    0x8c472b69, 0x3d4ba754, 0x3ab4dc1e, 0x46bc2662, 0x7244dbd7, 0x13732228, 0x0a595f81, 0xd5209162,
+    0xad1d104c, 0x1543036b, 0xfd11b020, 0x2f094b42, 0x41b912dc, 0xcfa5c657, 0x8875e740, 0x55a44aec,
+    0x929e132d, 0xe6b69a3a, 0xd2cbba84, 0x7fa5c321, 0x6aed44a5, 0x69fe085b, 0xdae8cba7, 0x8db105a6,
+    0x96743864, 0xa4f81302, 0xe28366f0, 0x604f9d0b, 0xc100235c, 0x5b9400a5, 0xdc8711a5, 0x2363dfca,
+    0x217e6c30, 0x7350d1a6, 0x32d0c500, 0x485d97dc, 0xccef4a9c, 0x56ea80fb, 0x0743864f, 0x6c30d92a,
+    0x45d9527e, 0x452e8fed, 0xf6fa49ac, 0xd240fef3, 0x40b1e413, 0xf1287f12, 0x6b488435, 0x739fd1e4,
+    0x472af3c0, 0x17e44139, 0xeb039809, 0xc0e8ef52, 0x6dd46c13, 0x1f8280e8, 0x747c9db8, 0x21da7ad8,
+    0x2065e6fe, 0x8ff6c796, 0x977fcafd, 0xf8a921c7, 0x0a5ec88a, 0x4085d0da, 0x5699be0d, 0xf7401577,
+    0x0e847db7, 0xbd52b66e, 0xeef95f9d, 0x82aabf71, 0x068912a0, 0xda94eacd, 0xa70d2cef, 0x41016b2c,
+    0xdbc98413, 0x58ca1580, 0x6976f3aa, 0xb01a30b8, 0xd21dfec5, 0x90d85657, 0x68fbe78e, 0xebdbd7c9,
+    0xc4b85cc7, 0x10a1c49c, 0xc59e6963, 0x5ae55534, 0x0e3becfb, 0x289f43cd, 0x68803144, 0x2577e19a,
+    0x30bd6c1b, 0x79b99066, 0x150083a7, 0x1243a194, 0xa4972fd1, 0x9cddcfb8, 0x0eba9fb1, 0xf9ff037e,
+    0x56cda06f, 0x4de1e5de, 0xed13c56a, 0xcc118ec6, 0x11aae60d, 0xc07eaf97, 0x2c15aea8, 0x44950e43,
+    0x41e320ab, 0x69e6d9be, 0x455ad55e, 0xcc90faa2, 0x28f5d04d, 0x63410105, 0x2175c2e0, 0x939444fc,
+    0x9a2002b5, 0x6ccea4f6, 0x5fcde58e, 0x6b38268c, 0xde64491e, 0x59ca2a2c, 0xa8bb60c9, 0x70bca161,
+    0x08ee303a, 0x7bccd741, 0x4bfb3427, 0x312fd309, 0xdb0005f4, 0xd554fd0e, 0x600a6f62, 0x59af7dca,
+    0x38738fbe, 0xe188070f, 0xca88e549, 0x744e57e1, 0xec4e9ef6, 0x662c1faa, 0x79d16d21, 0xc7cb5eba,
+    0x7486c63d, 0xde14dcab, 0xe630a7e1, 0xeeb10f4b, 0x383cde97, 0x5a389955, 0x81a2822b, 0x3d883c28,
+    0xd9a8a2f9, 0x9652c585, 0x65096c65, 0x4fd00d6d, 0xc13af53c, 0x1bbef6b1, 0x3cbf34ad, 0xfe099ff2,
+    0x871206e6, 0xc002e098, 0xf50012b1, 0x4133c55f, 0xef5edd27, 0xbe86c1eb, 0xa9c3e3a5, 0xa902c1e1,
+    0x1acc6f2d, 0x957fea61, 0x74ccf612, 0x3cc0eec2, 0x5c2b49b7, 0x867c2081, 0xefac02f0, 0xc41c8898,
+    0xe01f83ba, 0x3c55e3b2, 0x20c9e486, 0xe34509ae, 0x56f4d4db, 0x13e5b56b, 0xb947b12e, 0x23fd1c10,
+    0x291e1dfc, 0x7e2034eb, 0x13fbe681, 0xd6cab2f5, 0x47cf6d7b, 0x305ae1df, 0x919a07b3, 0x7a191cae,
+    0xc6b76380, 0xf5e9f7dc, 0xcba95eb6, 0x913f67e3, 0xe6fd6160, 0xbc3d90b5, 0x4918e1a6, 0x9af40b28,
+    0xd410ac05, 0x7ec807ed, 0xfbc8634c, 0x8afbf2be, 0x49e44ce7, 0x22a2c947, 0x46d014b3, 0x6b4ffdd8,
+    0x761ae509, 0xb2af787a, 0x56217124, 0x430e120f, 0x821f2920, 0xebd6ac2b, 0x8af39828, 0x523ab687,
+    0xe639764d, 0xf1e7296f, 0x73190694, 0x54da0cf7, 0x2c852cb6, 0x0e7ade4b, 0x98fa41c0, 0x19fad0b9,
+    0xf7f5591d, 0x88505507, 0x0411523f, 0x8d95c3af, 0x74287555, 0x67d45d61, 0xba149223, 0xdd508946,
+    0x27b5570d, 0x8a2dcd0c, 0x59dad455, 0x85f7b4d6, 0x3b996de5, 0x07b7a3b4, 0xd415754a, 0x2b60388b,
+    0x829e0074, 0x6ea2377c, 0x7bd2767f, 0x7f913b05, 0xeb2dd29a, 0xd4501002, 0x1fdc66da, 0xefe09e13,
+    0x3048bd89, 0xdfdbb628, 0x4edb81de, 0x154fb730, 0xd759cd43, 0xe39cc847, 0x16626793, 0x432f14d1,
+    0xa057c952, 0x388a5f9a, 0xe06feb7a, 0x1f53da96, 0x803bd451, 0x14eab6f4, 0x4213c099, 0x90bf2664,
+    0x46941a3d, 0x7b44f794, 0x6cd03ac3, 0x4db0b265, 0x01ae9037, 0x9383d953, 0x93935f3a, 0xee365ce2,
+    0x3ec1209a, 0x8d7e1e23, 0x82235b2d, 0xdc3539d2, 0x62f9c99a, 0x4f2139c1, 0xcb519fd2, 0x55dc980a,
+    0x8aadefc6, 0x10cb2351, 0xde0d9478, 0x0e0efc23, 0x2d985979, 0x287d5fb0, 0xc6a1023b, 0x8fa49134,
+    0xbee1de15, 0x98c10423, 0x2797026a, 0xb8d9d331, 0x3c96d68b, 0xe18d5de7, 0xe5ebed34, 0xba107729,
+    0xa390781b, 0xf7789b7f, 0x0a168fad, 0xc1e63fcf, 0xb4de28ff, 0x57a2476c, 0x7fc5af9b, 0xa80b2eeb,
+    0xc7e92434, 0x9ca1fedd, 0x486b2f3f, 0xc99966d9, 0xdbb2825c, 0xe33b7dd9, 0x36625681, 0x40cc5d65,
+    0x76cefff7, 0xfe4a7aa3, 0x21d10182, 0x0353967d, 0x4edeb8f1, 0x377d3a89, 0x948a5a2b, 0xc1acc835,
+    0x6d9536a1, 0x8a6cf9a6, 0xe6f75221, 0x6e3b9e94, 0x6527c196, 0x5bdd79c7, 0x758c383a, 0x1a34ad25,
+    0x714eb552, 0x23036227, 0x42b7db85, 0x406b4a67, 0x1b32cc57, 0xb73f59c5, 0x2f40f0d8, 0xbe90a5e8,
+    0x6181b608, 0x313cb732, 0xb2c0c208, 0x760c7197, 0x18afebf2, 0xfb4e426e, 0x350f5042, 0x74d9275f,
+    0x8e7f12e9, 0xe9852d2a, 0x8b453e07, 0x7c026973, 0xa73e819f, 0x391c8692, 0x92862eed, 0xc0bd6fee,
+    0xdb1575fc, 0x54d72b59, 0x52e754e9, 0x7c6ed3d1, 0x1741d969, 0x49d2a013, 0x2792f097, 0x91dadaa6,
+    0x00575fb6, 0x1a697c79, 0x6cba64ea, 0x94cb2647, 0x4322444c, 0x602cf451, 0x8054c07c, 0xa1ae7bdc,
+    0xa88fe982, 0xeae94e2d, 0xdbc1464a, 0x89dbac2c, 0xc11bc728, 0x00ed19ee, 0x89214383, 0xd93fd2c3,
+    0xa22f578c, 0xa4812099, 0xc30e74f8, 0xdb995a38, 0x4eb8469b, 0x51e0fecb, 0x2a309c67, 0x73cdbdde,
+    0x388ec3c8, 0xb0c5d175, 0x60c6685f, 0x4b551e85, 0x6bfb67fc, 0xf5b65c3b, 0x0296cb96, 0x823b92d1,
+    0x10712543, 0xcd841571, 0x26721cf2, 0xfe6240e5, 0xebec9c3e, 0x2f410b13, 0x012d7cd6, 0xb9a745f5,
+    0x72d0fb0e, 0x73972282, 0x6ee883cb, 0x4a8065dd, 0x4dc2c369, 0x3a610cf6, 0xb5460a04, 0xe7b54481,
+    0x67a22296, 0x67d82af3, 0x94ce4c37, 0x5ecbee2a, 0x52705381, 0x1efe2681, 0xe62fb312, 0xef941731,
+    0xdf3caf88, 0xe1ca7cf9, 0x71c86598, 0x9e1fb694, 0x92e2fa84, 0xb6c0013a, 0x85a96c21, 0x16e17774,
+    0x43847d1a, 0x2dbef75c, 0xb6995dfd, 0xa93f5084, 0x81dfd611, 0x389ee29c, 0x153d00f2, 0x5fc1a530,
+    0x3a348cb5, 0xe9e258df, 0x100eb4bf, 0xc33b274d, 0xc1e1fd88, 0x8d261923, 0x9246ebb4, 0x30a1d026,
+    0x318ad5b7, 0x17939071, 0xe6d7f762, 0xc7020b39, 0xc0cc534c, 0x9163f0ce, 0xeca37f8b, 0x8219ee4d,
+    0x7b96bb58, 0x8a23257c, 0x5a73aff4, 0x0e9e685e, 0xe012634d, 0xfb726d34, 0xaa7cf11e, 0xe2d38050,
+    0x1adeb5be, 0xf18b3a39, 0xfd838bd2, 0xac456e23, 0xdfcd9731, 0x458b4340, 0x338a7928, 0x0b82e894,
+    0xb606a0bf, 0x2856c751, 0xf2eefcda, 0xcb38f6a9, 0xa020cec7, 0x5d9bde6b, 0x5026f275, 0x9a4a2d99,
+    0x70c7c8c4, 0x4493bc66, 0x99248927, 0x4c2c3155, 0x5b990e2e, 0x6c4ce156, 0x6ba76727, 0x14dc8918,
+    0x886fb401, 0xf8ba10c1, 0xa72b2047, 0x2deb26a2, 0xae00ca1d, 0x0db6a434, 0x8f4aeff7, 0x81559a62,
+    0x6c416ed2, 0x91db3218, 0x73f31204, 0x4f46b2ff, 0xd30f3a54, 0x60d4e40a, 0x74282efb, 0x43744e5d,
+    0x8132bee0, 0x2bcbe797, 0x8977b35c, 0x68dcb010, 0x5bd563bb, 0x9e28d6b5, 0xb20ea251, 0x8d36d77b,
+    0xc767edef, 0xc5b5c0de, 0x0e071eeb, 0xd988e706, 0x1b5197a4, 0xe3cf2b51, 0x55f40d46, 0x85f2517a,
+    0x03983ba4, 0xa181cfed, 0x77322c34, 0xeb7431ef, 0x2a9a51f5, 0x457afbb7, 0xc7cbc962, 0x52eec7d6,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000089202980794122492566142873090593446023921664 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7e, 0xda66cb61,
+    0x00000000,
+    0xce1c96c2, 0xe031c06b, 0x6b158750, 0xa1225bf3, 0xaaf71efd, 0x6a4f1a74, 0x95682134, 0xace602cb,
+    0x11b056cc, 0xc26aa0d4, 0x8d571bb3, 0x4e186c43, 0x4494193e, 0x94e4dad2, 0x8ec6ae9b, 0x79227b93,
+    0xff7c7d76, 0x4cceff29, 0x2762fc4c, 0xb101b042, 0x367890ee, 0x94ed3583, 0xcf4a7833, 0xb908123d,
+    0x1ceae881, 0xa7fd4c78, 0x014b76a6, 0x0a32172f, 0x3efc2878, 0x9f80c0fe, 0xf0d20fba, 0x31a025d8,
+    0x1d507b2c, 0x5f954f89, 0x9d4272ca, 0x115a9128, 0x48c437e8, 0x1d23cacc, 0xa636414c, 0xe51e42d6,
+    0x00d800c8, 0x5b991734, 0x0c2d0dba, 0x7575ebc3, 0x69a68e44, 0xf18730d8, 0xe7c54d53, 0x030f5e7d,
+    0x47cd5dc6, 0xbf3b88aa, 0x474a08c1, 0x76817216, 0x8c893409, 0xc50de4bb, 0x860ab4c1, 0xc08502ee,
+    0x7a2000ee, 0x4266479c, 0xeadfe18c, 0x4ad0ff4f, 0x3992c9dc, 0x13a8fdff, 0x5d0697a6, 0x6dead72c,
+    0xc670d6aa, 0xdbebb003, 0x048acc86, 0xeba30a34, 0x82ba074c, 0x8177563a, 0x29189a3d, 0xfd0cbddf,
+    0xcfe45c16, 0xe9ca9d50, 0xaa61dfcb, 0x0e15c1f5, 0x542d27e6, 0xaebc6ef3, 0x904f0957, 0x8ccf3d60,
+    0xdebc5d2a, 0xb0402355, 0xfc2bc3cc, 0xf046ecb6, 0xf7a3822a, 0x6bc04c66, 0x196b9375, 0x6a8a51a8,
+    0xf36fe4fb, 0x07a44da4, 0x1ea76383, 0x3b48fde0, 0x09266311, 0x4aea4c4b, 0xa5928d37, 0xa43db024,
+    0xc66ace3f, 0xf726c2b4, 0x021f7bed, 0xdf80ab58, 0x980f05e5, 0xf57137f4, 0xf4fdd16c, 0x46a93739,
+    0x483bbf96, 0xf24aea19, 0x9120c695, 0xd06b0876, 0x86962a61, 0x1438e57f, 0x740819dc, 0x5c0bc4aa,
+    0x5bf7472f, 0x103a8f3d, 0x5dfd578e, 0xd1e462d7, 0x678f73de, 0x4316fe4b, 0xfcf7fcac, 0x75afd3af,
+    0x3c34c4d3, 0x8a65736a, 0x2c9ac0c9, 0x505ef7ad, 0x36bfe346, 0x8fbd2e49, 0xe112e5c3, 0xdf425be6,
+    0x657b279c, 0x5200a1a8, 0x586bb56a, 0x8d54d799, 0x40a78c0d, 0x87bf5518, 0x482c250e, 0xe8c2d87f,
+    0x7faa9da2, 0x7aba3337, 0x088140ba, 0xa9244950, 0x68c4e5a3, 0xd1809d27, 0xd75048ae, 0xfe44159b,
+    0x941d280c, 0xcea543be, 0x8e5d4f98, 0x8d26b50c, 0x5a545c7d, 0xe858d3eb, 0x92935e36, 0x15972228,
+    0xe09e0f04, 0xbfd36e73, 0x78759fbb, 0x1f1bda84, 0x976ba8bb, 0x83100b68, 0x1f52a079, 0xfb09835c,
+    0x43bf3761, 0xa1c801c8, 0xdbd40922, 0xccdda7ce, 0x05d2e637, 0xa2e6cb1d, 0x375cd452, 0xbe0a5dc4,
+    0x5c59a2cf, 0x762f097a, 0xa91ea328, 0x7db171ce, 0xe73bdf49, 0x3d88f1c2, 0x8187f8c6, 0x4276ab50,
+    0x421efec6, 0xf7a7cd77, 0xd8918905, 0xd4134803, 0x42ac3dad, 0x64d52021, 0x9112c58b, 0x74c66352,
+    0xe262732d, 0xbd5d6b36, 0x5efc42d6, 0x5567f3c8, 0x1fce6e92, 0xa4b448af, 0xc6095191, 0x21bed558,
+    0xa4018956, 0xfdbee381, 0x10feea8c, 0xc26c8638, 0x8a67361a, 0x63906587, 0xf2c332c6, 0xc0f6e00a,
+    0x599b37b5, 0x01ca92a6, 0x38083f78, 0xeb6edfca, 0x05d9d356, 0x56f5a02c, 0x3d706240, 0x3b135483,
+    0xb1329bed, 0xe32941d9, 0x50f28df0, 0x3bcf5ea5, 0x863cbe7a, 0xaf029740, 0x321f05e0, 0xf5162187,
+    0xb966c725, 0xc509bc82, 0xd7b4ab64, 0xdaf1a654, 0x622508b2, 0x645f5028, 0xf2aa647d, 0xf4d864a6,
+    0x98424fd9, 0xc0994c8a, 0x61823bbf, 0x3c3587f4, 0x6bf45ee2, 0x3db45733, 0x7ec3b425, 0x05cd0615,
+    0x0f65dda2, 0xb65c2297, 0x000a1831, 0x7c355d6e, 0xe60bc8bc, 0xb3cd61e6, 0x70453e63, 0x76eb6969,
+    0x58da7ca8, 0xc271640b, 0xe0e1fdcc, 0x6760312f, 0xdea35f91, 0x91dcf695, 0x83a1fed6, 0x4193835d,
+    0x3b77faef, 0xf5b62424, 0xeb798330, 0xf18edd55, 0x89051b75, 0x2da6008f, 0x652be5a9, 0xe700869f,
+    0x35fc56d4, 0x99945fbe, 0xd84b945e, 0x31534070, 0x96f856d2, 0xb8d0b503, 0xcbfa0b6f, 0x0f9be245,
+    0x917529b1, 0x18049920, 0x0d3257b4, 0x4dc4676c, 0x5aa8665b, 0xf8fdbaec, 0x268a1689, 0xd5b59109,
+    0xea12f340, 0xe85835f4, 0x7b970b39, 0x87be173d, 0x3a6ccdaa, 0xe2ab9397, 0x69a01c71, 0x0bbd64c9,
+    0x60978d8f, 0xa8e4e141, 0x039a52ea, 0x63f4ff9d, 0x1c452a10, 0x49c7c234, 0xb6a51682, 0x56d105ee,
+    0xfa85bd7e, 0xab380b64, 0x262633e1, 0x15ccf9ab, 0x2cac954f, 0xadb7970b, 0xd5d06376, 0x1bf73484,
+    0x1347900f, 0xdefa300c, 0x7ec05448, 0x6b0398c9, 0xd31da5cf, 0x36f8c7a0, 0x603f51af, 0x18bbb617,
+    0x0e39d4c3, 0xa200c2c1, 0xd5f06949, 0xd538cc42, 0x85e24541, 0x0ac2cbe3, 0x24f582ee, 0x70a6dd39,
+    0x5c91c433, 0x229de39c, 0x80f3a1a8, 0x3e6e6541, 0x14ce98b7, 0x88d21f40, 0x90ef9220, 0x7f6e7276,
+    0x9bd469f0, 0xe101aa7c, 0xc779fb8f, 0x74007d18, 0xce5e4ab8, 0xaec9845b, 0x933e465b, 0x7092e45b,
+    0xa9d760ff, 0x10697e98, 0x183dc15c, 0xef461b46, 0x97b2f6f8, 0xabe9e86d, 0x675983dd, 0xe7c24e90,
+    0x32f5f5f7, 0xff6b5447, 0xe63e6b92, 0x5c6dd0ea, 0xd3f96d93, 0x2c9ae0b3, 0x0893712b, 0x09c2da9e,
+    0xcaaae3a6, 0x0397e8b3, 0xa2283533, 0x2af489cb, 0xf853895e, 0x61956657, 0x51481a9d, 0xec88e76e,
+    0xeca03f01, 0xad7aafd1, 0xdcc608c1, 0x7a60064e, 0xa2b0173e, 0x75103925, 0xb1069849, 0xbf23b7e9,
+    0x0780d05f, 0xbbaad819, 0x444b9237, 0xd4b241f3, 0xd4f5773a, 0x04a542e8, 0x89ceb8e5, 0xdaefe3e3,
+    0xde6c1b03, 0x500cd043, 0x79e7089d, 0xe653ce71, 0x6475d4a5, 0x27d8c4dc, 0xca016ef4, 0x470fe1af,
+    0xa5cd4ea2, 0x2948ed2f, 0x0a24a5e6, 0x72576b08, 0xba692ac0, 0x53a6b3de, 0x31194d93, 0x7a1ef74e,
+    0x4170f943, 0x1da416c3, 0x6004d938, 0xb1f3b596, 0xe77eedb1, 0xc40b3639, 0x2fc51261, 0x2a95d6bc,
+    0x776ff6a8, 0xc2d9e5dd, 0xa987c3c3, 0x550f8cb8, 0x0eb8ed22, 0xb874c372, 0x4ce39578, 0x4d6e5f80,
+    0x8b95b3d5, 0xc37809ce, 0xbb9f68f0, 0x626b38ea, 0x68e60f06, 0xd0014ad4, 0x2a6e93d1, 0xc994a221,
+    0x93c74afd, 0xdb3887a9, 0xdaa1e82a, 0x09a767b5, 0x9b6cfa68, 0xf9d7ab3e, 0x259a2274, 0x60b0c866,
+    0xb5653e82, 0xdbe06038, 0xa54153ca, 0x371e700c, 0xf67d8f12, 0x28d268f2, 0xf851e9e0, 0xfc34f637,
+    0xbac98664, 0xefbd8d1d, 0xab7b3bd2, 0x9628bafc, 0xaecd0abd, 0x6c64c314, 0x1f5e126c, 0x593b6e41,
+    0x72afd558, 0x43c6e2d5, 0x447c1713, 0x1000889e, 0x15cde7b0, 0xf6b9b09b, 0xbbfbfb2b, 0x61bd4a41,
+    0xdcd0c0f1, 0xb27220cf, 0xdba9b325, 0xbe469b0e, 0x553931e3, 0x48dd07cd, 0x4ed0b299, 0x9738d68e,
+    0xfc5b64ec, 0xb29ab9d3, 0xa1a51988, 0x9f34369a, 0x80166636, 0x44eac899, 0xcc03bff5, 0xbbe0d8a7,
+    0xec02d29a, 0xc29383c2, 0x02308281, 0x3b055dd7, 0x26d1d350, 0x1f00f506, 0x47541525, 0x5cd5dcc7,
+    0xff95386c, 0x75314385, 0xb78506df, 0xc6142a93, 0x11e0ac03, 0x786cbf78, 0xc5857109, 0xa50ecbdc,
+    0x29cd8e3b, 0x72fc3b52, 0xe234aaf2, 0x0c3a5ec4, 0x8116995a, 0xe704964d, 0x07557f45, 0xe618127b,
+    0xb824a804, 0x81ce5304, 0xef641057, 0x84c66871, 0x45ec26cc, 0x9c88e5c5, 0x37944037, 0x40113c83,
+    0x88e57336, 0x50c038e6, 0x1a5a2aae, 0x03d22acf, 0x7d9d35a4, 0x74ae383c, 0x6066ed42, 0x485bfa65,
+    0x5edb8b5a, 0x85346fc3, 0x73928040, 0xe4a70a9f, 0x8d286697, 0xdcbd610a, 0xcef1556c, 0xb7f32126,
+    0xce8cde8c, 0x63c1041a, 0xb79821cc, 0x63fc4a4e, 0x80481745, 0x7e08e5cd, 0xefddf276, 0xe403df48,
+    0x7e6d48d8, 0x06fe7224, 0xd607e8c4, 0xe40ebf9d, 0xbf2f6e06, 0xb99e3b62, 0x75cb5f7f, 0x779abebc,
+    0x29bfd0f8, 0x11f590fe, 0xe3873ea0, 0xd19b2e11, 0xcfef0fb0, 0xca522023, 0xfece8f86, 0xbdca7b11,
+    0xeda333b3, 0x73a06e8e, 0xa1ca62ba, 0x6626ad43, 0x14290f73, 0x69dfc6ca, 0x7a40b057, 0x6c10c1cd,
+    0x2d60b46e, 0x54a93f5e, 0x1f2eebc7, 0x1191d0ae, 0x1acda8db, 0x637e4620, 0xe0120da3, 0x06549641,
+    0xc17f8f48, 0x7cf8096c, 0x7f8f58e1, 0x2f316f3d, 0x7cc3f94b, 0x1389b636, 0xefac4b65, 0x5bf2cefe,
+    0xb24d460c, 0x34438d7d, 0x34e54b28, 0x50eba722, 0x790d6e48, 0xdb45a5db, 0xc9e87f41, 0xbe3be099,
+    0x5c399b5f, 0x0119d6fd, 0xe4910716, 0x90c22070, 0xc244b661, 0x8d78d460, 0x1fafe4d8, 0xef3652a9,
+    0xd982ff7c, 0xe2576e60, 0x6531991d, 0x7f309b87, 0x46a18191, 0xed16ecff, 0x141b065c, 0x43b8db8d,
+    0x8720b30d, 0x29e6e2c1, 0x196fd5af, 0x9f759475, 0x922c7cdf, 0x91f9851c, 0x655349a3, 0x4b7088f4,
+    0xd4accfdd, 0x0cfdd026, 0x56b40512, 0xdcdc6b4a, 0x3f47351c, 0xbc562b24, 0x7474f133, 0x0373a4ca,
+    0x4882be9b, 0xb724e030, 0x1f9b229d, 0xe0481460, 0xde0ad637, 0xaf62f490, 0x7273143f, 0x7cdb734e,
+    0x7e736276, 0x1ff28b79, 0x78de8bb8, 0x42c8063e, 0x05a331da, 0xeb292652, 0x5f67a674, 0x82622b5f,
+    0x35a4563c, 0x50a21c0e, 0x86536fa0, 0x02a5f4af, 0xbada27d9, 0xdeef588d, 0xab7cf7d0, 0xa111ae9e,
+    0x380da88f, 0x61a5fb7f, 0xeab7c788, 0xcb94fff7, 0xb2921f9c, 0x86b3ed6e, 0xe63f1f48, 0x543f5b16,
+    0xc436c614, 0xdfa9fe9f, 0x192c6e5a, 0x759818a5, 0x95211ba1, 0xef9b3ecf, 0xbb4ef008, 0x728a6080,
+    0x44741c81, 0x91efbd88, 0x29c2490b, 0x1498290c, 0xb6ed5bde, 0x7b9af166, 0x7b0a4aca, 0xa3011914,
+    0xaf3533c3, 0x95143746, 0xbf4ee70f, 0x7475c001, 0x00025cd2, 0x1db711ef, 0xc93ba035, 0xb1e1e90a,
+    0xf83b505c, 0x84cb3f0f, 0x706c814b, 0xda35e88a, 0x37eb7c17, 0xb03e78ba, 0xcca01e04, 0xe27dfb7a,
+    0xec61785c, 0x3a81bcfd, 0x4282c45e, 0xd8c66a82, 0x0bba1876, 0xeae65178, 0xdbf6d060, 0x912b274d,
+    0xcef6a15a, 0xf144db02, 0x70ed8c93, 0x0a86dc57, 0xf07aff6b, 0x0b8d65ea, 0x9df4a734, 0xcfeb6b04,
+    0x8a7c54b5, 0xd052aab4, 0x4d233f9c, 0xd4887c78, 0x6a9a1b4e, 0xd42f5703, 0x2ad498d0, 0x8eac53ad,
+    0x37f4fd05, 0xf231d2ce, 0x5ada82f7, 0x7d3e6f2d, 0xe9b66b44, 0xcd408a9b, 0x048dd190, 0xa13f1a5e,
+    0xc7e809a2, 0x7a8208d8, 0x38348736, 0xfc249f22, 0xed745662, 0x5b6be8d7, 0xcee70c4e, 0x09e281a7,
+    0x2353f5bc, 0x8cbd67a3, 0xaff9be1f, 0xc22014a0, 0x7f2e0b67, 0xf1ce41da, 0x41b175b1, 0x77ae4eb1,
+    0x33c363bf, 0xd36104a4, 0x304c101d, 0x128505cb, 0xf9dfd40b, 0x5fabaa63, 0xdc5102a2, 0xa4bb6414,
+    0xf23b11b7, 0x5ae5596a, 0x40862aa9, 0xdbf26b27, 0x802e1360, 0x2f99bdfc, 0xd683618b, 0x0944e785,
+    0x0afe129f, 0xbd65f5f8, 0xdfefc548, 0x727ef657, 0x997bb82a, 0x632575b0, 0xd101c7bc, 0x275f7167,
+    0x452c514f, 0xbb03e0b2, 0x347b4d37, 0xf45a051a, 0x47b6e49c, 0x62b2c88d, 0xba7348aa, 0x5ec0f032,
+    0x987f9489, 0xc6921470, 0xfbd95346, 0x2bedf03b, 0x0a8c2be3, 0x569c6f6b, 0x269c3445, 0xb6ec3cba,
+    0x5728534a, 0xaf6b88d7, 0xe177f791, 0x1fdc3c32, 0x4673a3ae, 0x8920b306, 0x40505cac, 0x450bfc67,
+    0xe2eaf3e4, 0x4e0fa19c, 0xb55d0ab6, 0x53033ac2, 0xa7d89d45, 0xa005b16a, 0x54a2c74c, 0x4101a34a,
+    0xc9443d28, 0xfffc4c33, 0x41030a3e, 0xbf086330, 0xda1302ff, 0x4e96c99b, 0xb1134ab3, 0x576689ac,
+    0x940b173e, 0x75587fe6, 0x30d499c8, 0x1ef69057, 0x6d3354a6, 0x661c3aa3, 0x89fc5a58, 0xb8b1aa90,
+    0xb95d9d12, 0x63f3290b, 0xb2d5cdeb, 0xd7011546, 0x829d02ea, 0xa2302010, 0x3661d801, 0x1f608d15,
+    0xb1fc4595, 0xea740882, 0x4ec129f2, 0x621ad674, 0x8a698711, 0x9bd8a212, 0x52038b27, 0xa2b21e3d,
+    0x561155c0, 0x3747e9d2, 0x86b29325, 0x45cd328e, 0x9ef1c768, 0x37f99ad4, 0x14daeee8, 0x71a67dd8,
+    0x714c4cc9, 0xdc5a5828, 0xa18ab25b, 0xac0072f7, 0x82d7c568, 0x101866f4, 0xccc2a64e, 0x6b3d1db0,
+    0x39e0f809, 0x612a9a33, 0x43f89a47, 0xd75c6aaa, 0xe182b7c9, 0xeb8114c3, 0xa260c265, 0x79ee8601,
+    0x2b761e56, 0x51ebc134, 0xe42d021d, 0xb897662f, 0xc743b306, 0x190ea46f, 0xf8d1b2b8, 0x7e39ac69,
+    0xe979a5a8, 0xa4452759, 0xea36c5a3, 0xb625e184, 0xec9c4343, 0x7f403895, 0xe956e480, 0x5bb131cd,
+    0x520a452e, 0xe8509ac2, 0xf6238d7a, 0x601678ab, 0x873bd9be, 0x9cbd0cc9, 0xc60b8094, 0x015a40bb,
+    0x4d829c3e, 0x1f136d41, 0x5ecb1195, 0x0fafc315, 0x1514c5c6, 0x62fa109a, 0xf624375e, 0xf3bb7a33,
+    0x4f9a5b38, 0x3c71846a, 0x05348509, 0xef636331, 0x2f66c840, 0xc9c8abea, 0x0a0ccc85, 0xa3906910,
+    0x4dd9a87d, 0xa2b4e6c3, 0x2aa04579, 0xfebbe51b, 0xa6cba507, 0x05af9219, 0x6e5789c3, 0x1615cd37,
+    0x156660e8, 0xc7ae25d9, 0x318cee7a, 0x2977b4dd, 0x671d470b, 0xc5284dec, 0x332de8a1, 0x4789a75f,
+    0xc37bf18e, 0xea238b74, 0xa8b6a9cb, 0x38bfbb44, 0x3882a201, 0x15582271, 0x03f33395, 0x02d9aff2,
+    0xff45be37, 0xec8daff8, 0xfa5bb3e1, 0x51def65a, 0x21451ebd, 0x2fab5996, 0x3b4a2bd8, 0xcca27b5f,
+    0x7ffbcc27, 0xd41b9ccf, 0xa9932f2a, 0xb31e696e, 0x38f92b4a, 0x5934ea9b, 0x90eb2841, 0xa2c2e080,
+    0x6cba2dfd, 0x3c1eaf10, 0x9b7dbb13, 0xf5530a0a, 0xc7ff094a, 0x4cf19378, 0x3815c98f, 0x77899853,
+    0xb9113f65, 0x7cf204f7, 0xb87eb92d, 0x55273f71, 0x7b9d8afa, 0xf31d4093, 0xcf7722f2, 0xb2448c7e,
+    0xd533b18d, 0x7ff62af2, 0xf431152e, 0x1e461bf9, 0x5415317d, 0x61edae74, 0xb75fe695, 0x2eef7712,
+    0x202efc10, 0x3f6b7430, 0xa3788652, 0x49eb1776, 0xa1570590, 0x663d87a0, 0xaf1b2d08, 0x0109a136,
+    0x6e3dc88e, 0xb7cbfc86, 0x3fc53a96, 0x57661f25, 0x081ef5cf, 0x192d0fc5, 0x2f66914a, 0xc0acbf77,
+    0x64e791e6, 0xf410da16, 0x6b61415a, 0x8883a042, 0xfca1a7d6, 0x21bb27a1, 0xb28b3ea3, 0x30e8220f,
+    0x7e122e78, 0xd1ef31b7, 0xdd6d2af6, 0x42137e4c, 0x05009e51, 0x426667c8, 0x35f1c936, 0x31de7fe3,
+    0xc540b63a, 0xcce4053d, 0x45f501da, 0x93979ceb, 0x80be3a6c, 0x0878f362, 0x2a509828, 0x8a1a9252,
+    0x7de788b8, 0x896b2143, 0x149e23f9, 0x8200df68, 0xb2c5a44c, 0x9c3bfcf2, 0x8e48f753, 0x7ea6ca3a,
+    0x68f46c10, 0x21c3ca5d, 0xa1b5fb0c, 0xc0d4e5a9, 0x832d5737, 0xb0556476, 0x8bac5671, 0xb9f806a7,
+    0x0058596d, 0x806f02be, 0xf3248593, 0xedfbc9e0, 0x63876bea, 0xfed19d44, 0x50139bf5, 0x1ab927b4,
+    0x4cd7b117, 0xe7d76bc0, 0x9fdf6af5, 0x56070681, 0xd8c9ddff, 0xd4937c43, 0xc2424898, 0x098ffe3d,
+    0x87af165d, 0x86474ed1, 0x72f14805, 0x80ce11f6, 0x18132311, 0xc8588401, 0x12ef933b, 0xad1129e1,
+    0x3c6292dc, 0x63d6f5fb, 0xf731b52f, 0x2a2b584e, 0x41636187, 0x6c233d4a, 0x332614e1, 0x2dfdfbcd,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000044601490397061246283071436545296723011960832 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36bf, 0x6d3365b0,
+    0x00000000,
+    0xa26d2049, 0x6ca448c3, 0x95557906, 0xa01e1a74, 0x0fb4cc99, 0x8c32b9cf, 0xdc5296e3, 0xe5dd2add,
+    0x6419dd51, 0x715d3f6d, 0xbc029956, 0x0ec4ea20, 0xdeb0c956, 0xf289ca24, 0x29121093, 0xe1139a46,
+    0x2b1e3921, 0x9816f39e, 0x6f7165a0, 0x979e2478, 0xdfa4603f, 0xad3f3a0f, 0xb7121cf7, 0xf0b4c5b7,
+    0x5457a315, 0xcb216c40, 0xb78e557f, 0x5b516466, 0x811b7d80, 0xac898cd4, 0x0349d671, 0x618e760c,
+    0x18a93149, 0xd8630f51, 0x53bf67d3, 0x896d908b, 0xb8a24ab8, 0xe1c08cb4, 0xd551a465, 0x06b8f5f8,
+    0xbceb2d92, 0x36a7db01, 0xc27d0bd1, 0xf41cc2a2, 0x619446f2, 0x91949c25, 0x35f805c5, 0x3b0f7277,
+    0x29aca129, 0x934c0694, 0x69a991d6, 0x23c6b457, 0x11f24a77, 0x28973697, 0x3b78d7c8, 0xedf91f0d,
+    0x12c4738d, 0xbcb5fc31, 0x22099b97, 0x3b2b0ef0, 0x6a59e0da, 0x240f07e2, 0x4b37a874, 0xce3e5805,
+    0x4adefc96, 0xab4a53a3, 0xd362cca2, 0xe04feb2e, 0x00bd3aab, 0x4a689b65, 0x0f4ff007, 0xecf1ccc6,
+    0x0c6700e7, 0x72d907d0, 0x5a4d150a, 0x5c407597, 0xf820d118, 0xa334f79a, 0xfbfc3219, 0x5041f036,
+    0xaeab1758, 0xa5620a7b, 0x5355b58c, 0xba7357e3, 0x371dc892, 0x11411498, 0x6635d867, 0x7a72dcd3,
+    0xcc180175, 0x6ca36242, 0x654afffa, 0x709d209f, 0xfe0cb1d4, 0x7458a1e3, 0xdff5ceb2, 0x1066ec17,
+    0xe066c6ff, 0x6702d167, 0x1a5bb5ab, 0x558916e3, 0x72b14738, 0x5cc85513, 0xc64b36a8, 0x2e75f462,
+    0x079f7fba, 0xbd8c121d, 0x19dcf721, 0x63d9a6d5, 0x4ddb012f, 0xc032afaa, 0xf6a87f4d, 0x608aafed,
+    0xa5e7d243, 0x098d1bf2, 0x9815f7d6, 0x293de16e, 0x48b66f12, 0x0564d47f, 0x4a2db434, 0x6e079137,
+    0xf00bd2b2, 0xd36767b1, 0x05f640b8, 0x9dd12c86, 0xc98e2e01, 0x3c3e9b0d, 0x7a929fe8, 0xb279ed57,
+    0x464d0fe8, 0x7c6db381, 0xa1081a4b, 0xced74c71, 0xa1cc4f66, 0x8b179c85, 0x3303ce52, 0x15c7b411,
+    0x96c76f51, 0xdcf7636b, 0x71464d7b, 0xe20e6ac8, 0x8f2ea4e6, 0xb58c52e2, 0xbabb9d17, 0x43311c99,
+    0x15354f6a, 0xb4a793bb, 0x4f342de4, 0xc5430b7c, 0x52293e3e, 0x95bb35ab, 0x2c74fd26, 0xd9f51d21,
+    0x038e41f7, 0x3f9486ad, 0x8901f60b, 0xf635aa15, 0x6a15c53e, 0x91ff4201, 0x9d3556f1, 0xc19f0154,
+    0x0fa5fd58, 0x3d238e3d, 0xf5310440, 0x049ca5a2, 0x78af327a, 0xf9b0b6f0, 0xf2e94cac, 0x40c277ee,
+    0x7236fa8c, 0xc8c3645f, 0xe3e68940, 0x96b775dc, 0xaeadb8fd, 0x18bcec5c, 0x844ea396, 0xbcefde33,
+    0x6e6f166b, 0x17b801dc, 0x0407a7b0, 0x3143f9bc, 0x02a542fc, 0xf935a8bf, 0xd980a01f, 0x2bfa8e8a,
+    0x7c56bfa7, 0xec5ffec5, 0x9b53d1fb, 0xbf3cddd1, 0x2cb4cfbb, 0xad8142ff, 0x006d6529, 0x96291d24,
+    0xfaedb6f7, 0x3b45cf62, 0x2338c6ae, 0x2458eff9, 0x8f86e257, 0xae49a9da, 0x7c8f47c2, 0xb05d09d5,
+    0xc309bca3, 0xadfe2ec4, 0x2e99297d, 0x0c947a65, 0xca54fec7, 0x979250e8, 0xfb6368aa, 0x44b10095,
+    0x38bdf210, 0x3eb5dad8, 0x07f63d61, 0x21eb186a, 0xe63c68e8, 0x79f0e1dc, 0x5d1c5578, 0x123da522,
+    0x0b190ebd, 0x7ef7c5b1, 0xc9def503, 0xc7ff91ff, 0x16c1ee9e, 0x7d424bfc, 0x0580c4f1, 0x0ad5a0ee,
+    0xe2e71c94, 0xee024910, 0x12d95723, 0x36db9b92, 0x010287de, 0x16ef4b18, 0xa7b6073f, 0x5409d74b,
+    0x3e925f87, 0x59a012e2, 0xc15b7231, 0xc03e5bbb, 0x30863270, 0x49a3cf78, 0x301bd9a0, 0x2248fe8d,
+    0xdca781d8, 0x3669b27b, 0x1cd4d57e, 0x5c75544b, 0x2f08392a, 0x6063437f, 0xe9eda6ab, 0x511ca969,
+    0x6def8d0f, 0x1bf2bbec, 0x6577e585, 0xb058d819, 0x650673ab, 0x0e0893f0, 0xb06f02cf, 0x5915d3b4,
+    0x6c8d78c8, 0x2b187041, 0x0bd68975, 0xc035488a, 0x361417d7, 0x74469796, 0xdb03ddb8, 0x3c8956af,
+    0xcb600148, 0x586c832b, 0xa7a96618, 0x1fe03287, 0x66100c7c, 0x9cf9a302, 0xa36f0d12, 0xe15786dd,
+    0x8ac9e1ce, 0xe77aa4f4, 0xbdcdf467, 0x8d5acc19, 0x57cd19f0, 0xff6430b8, 0x37ef3db9, 0xe7032cd5,
+    0x50410a07, 0xe9d4f3a6, 0x5a839910, 0xbfa9d1f3, 0xad01e42d, 0x369a4b11, 0xb4a05cdf, 0xb931a60f,
+    0x85bad464, 0x0f078912, 0xf5956db5, 0xbbfe84f8, 0x92997b63, 0x06ed4061, 0x9b9eed44, 0x1fe61c29,
+    0x8b7c6c4e, 0x831d2705, 0x9eac9ec7, 0xfdcb125d, 0x759dd28d, 0xdd979ac3, 0x085d111a, 0x891c644b,
+    0x1cb2fad4, 0x235e0b5c, 0x42c2682f, 0xe30c7484, 0xf156404d, 0x18164ba9, 0x2d34f12c, 0x66e9bad3,
+    0xee6157c8, 0x5f744fad, 0x25c9b964, 0xedcd20ba, 0xb9be14bf, 0x8eb29f36, 0xa1fbeb9a, 0x43e1f808,
+    0xc80614b6, 0xa6e2208e, 0xb0c83601, 0x5033e299, 0x6d93bb68, 0xc79348be, 0x204ff3d1, 0x81cf322c,
+    0x0706b859, 0xce759f92, 0x10e62f94, 0xe616c0c3, 0x17c21e58, 0xed4e1b4f, 0xc2bfa154, 0x5c256be2,
+    0x8add8177, 0x77bd3ec3, 0x5669fd05, 0x70d459ab, 0x93c13b3a, 0xec25c115, 0xdc8317ea, 0x12941bcc,
+    0x35d6b106, 0x93e1cce9, 0x5dc04ebc, 0xa702de71, 0x1df0f064, 0x0c58bcab, 0x30a6ee63, 0x1ac9aa2e,
+    0xd4c12bc5, 0xf2480f00, 0xb2757c96, 0x785e64a4, 0x90be7b74, 0x9f0ff7af, 0x1a78dad5, 0xc11a5554,
+    0x9410a16e, 0xfbf5d943, 0xd0503bdf, 0x8247703b, 0x9302a3c8, 0xff94fe66, 0x31210506, 0x1480f1a0,
+    0xf689172a, 0x4d339412, 0xabec2007, 0xad623ba6, 0x405e6ebb, 0x5fc3043e, 0x5dca49ff, 0x734d7e6d,
+    0xe6b4eaac, 0xdff8822d, 0x57720f87, 0x7912b2de, 0xaffa016d, 0xc27625e5, 0x39f79f06, 0x14100ca2,
+    0xff317665, 0xff782a36, 0xefeecd6d, 0x956e4c1e, 0x7928e369, 0x313a3d0a, 0x13fd996b, 0x511bf200,
+    0xdf4de270, 0xb38a5ac8, 0x5e67406d, 0xe8c574df, 0x53b9b271, 0xbf83352b, 0x3e76b492, 0x6010da86,
+    0x7cd2fce0, 0x22ed6b7a, 0xe57614bb, 0xeb28eafd, 0xe4858c4c, 0x0093d834, 0x94bcc44f, 0x8946b458,
+    0x2a3305f4, 0x22b6d5c8, 0xc92a060e, 0x7742d2bb, 0x0362f9bf, 0x8f69d35c, 0xabcf1d75, 0xea97f0be,
+    0x8d61d526, 0x4c9c2843, 0x5b3b9798, 0x85c26334, 0x458ae8d6, 0xffe367f4, 0x5d4467e8, 0x9b5419b4,
+    0x65bc3c5f, 0x3c287fd7, 0x3fb165fd, 0x118fbfaa, 0xcb971af0, 0x470f1b42, 0x2933da63, 0xbddc720c,
+    0x816cd2b5, 0x43464aec, 0x234733a6, 0x98c9dbb6, 0x05356bc1, 0xc90617e8, 0xd72fc05a, 0x675d427d,
+    0x17ed36ec, 0xa536b0f2, 0x675b1ed0, 0x2d1b8df2, 0xf38274f3, 0x6957c646, 0xd9769719, 0x2b7b5572,
+    0x7dfc917c, 0x6b2bf49c, 0x4c6c5501, 0x96144fb6, 0x1287d54e, 0x1336ec2c, 0x1892885d, 0xce053e4f,
+    0xc29d7cad, 0xaf14135d, 0xd8f47c3f, 0x0dc80ebe, 0x9d154c53, 0x17895d7a, 0x250b194d, 0x23662810,
+    0xb6217146, 0x94680125, 0x10d80881, 0xc0a1bd2f, 0x0d9f2f32, 0xd782d2b3, 0x2611dda6, 0x0c7477bd,
+    0xc467811d, 0x08c2b64f, 0x56d11e9b, 0x59fd143c, 0xc0518049, 0x41275c94, 0xf461ae13, 0xb7a6d0c1,
+    0x60b123d6, 0x2e41cc0a, 0x8f99c930, 0x1037d422, 0x039ef41b, 0x967b1d63, 0x1ca35040, 0xf8a6d039,
+    0x3c24036e, 0x18ede577, 0xbe5b7c07, 0xe60453ab, 0xe106a52f, 0x4f789ffd, 0xebed2520, 0x57991a35,
+    0x1a9705a3, 0xa92ff9d0, 0xb5236406, 0x0ad24f7f, 0x5e8ed02a, 0xbf5aad8b, 0xe45d6f4b, 0xc55db66f,
+    0x08363962, 0x2708a5be, 0x09385edf, 0x74871e19, 0x6669b197, 0x6ff7e079, 0x16822b97, 0x14e46713,
+    0x28933467, 0x73754cb3, 0x09cde2cc, 0xa6db88b2, 0xaa596a1a, 0x76392129, 0x76b6d33c, 0x1c3f1a5c,
+    0x2c00e2eb, 0xca3e8ef8, 0xf4493129, 0x577635ef, 0x15664980, 0xa3f2e890, 0xbd36bbd9, 0x99fd4608,
+    0x70a97f59, 0x70456c63, 0x5ceb90fc, 0x928dd7e2, 0xc5a07a93, 0x53595328, 0x48f98d4c, 0x285391a6,
+    0xdffec9c7, 0x19cbbc83, 0x5638e5f9, 0xfd70e339, 0x600bb5b5, 0x6ec9823f, 0x855bb5e8, 0x7a87a3c5,
+    0x3f5f4da3, 0x28945d3f, 0x412b40c9, 0xa3a12329, 0x88ce5aa6, 0xe967eae4, 0x4dd6f18e, 0x12835557,
+    0xd57c91ef, 0x4e436ccf, 0x42b9ad3c, 0x6b02c308, 0x52795149, 0x0cd223f7, 0xaebfc669, 0x479612a3,
+    0x5352c24c, 0x8937dece, 0xcb7c9d97, 0x75a668ea, 0x4e586ceb, 0x3c7b483d, 0x42b81710, 0x314060ea,
+    0x94d2432d, 0x61b74ead, 0x2ef8016d, 0x4475a9a3, 0xf2ad4df5, 0xb5a5d7f0, 0x8df9696b, 0xabd1952f,
+    0x7d6a4c38, 0x26505f3c, 0x7e32f0c2, 0xa30f1b62, 0x95dc1ed8, 0x64840865, 0x439abaa9, 0x64d56cfb,
+    0xd7fd0029, 0xd6d4f18e, 0x957d3a8d, 0x9aa25387, 0xac626f00, 0xb6455f9f, 0xd337c406, 0xe12874cc,
+    0x1d946e7f, 0x368e37ac, 0xbb261de0, 0x27bc2dff, 0x74b9c971, 0xa1e4ef00, 0x0c7664da, 0xe72d9aca,
+    0x17265b88, 0x13e09dcd, 0xbce1e4e5, 0x912da805, 0xc610c30b, 0x00956723, 0x8047f8fc, 0xf1497c48,
+    0xe2c82df6, 0x76356416, 0x61299843, 0x5d2ba784, 0xf0b54ab5, 0x2807e93a, 0xc9031ec9, 0x6b4cd67c,
+    0x63e03647, 0x1ef53ead, 0x33324ca3, 0x2dd9f57c, 0xdafd8cda, 0xe90c4072, 0x01cc10e5, 0x936daadc,
+    0x0b6b1269, 0x952ed054, 0x92eef2e0, 0xde8ab514, 0x74549a4d, 0x14953ebd, 0x81c3ec6e, 0xf298ed7b,
+    0xd71039a8, 0x9afa350f, 0xcfdba03a, 0x5e8051a0, 0xe8729b6c, 0x703ff50d, 0x4a5b3e43, 0x5fecdcd8,
+    0x7e4ccf42, 0xb818cf62, 0x9ec81f45, 0xde33632d, 0x23c9ccb6, 0x46650f23, 0x8a7c5d4d, 0xffa0f409,
+    0x3d0b7443, 0x1213ed99, 0x3e4f4478, 0x6ebdf1e1, 0x7cb8eb48, 0x8db498d3, 0x813a9ecc, 0xa02ff401,
+    0x1ea690cb, 0x94bc3c19, 0x122b4462, 0x14bf5d72, 0xffcf4851, 0x6c39964f, 0x124ded4a, 0x5b095e88,
+    0x8cce46ec, 0x3a855b84, 0x8f395d08, 0x10352b8b, 0x66416f4d, 0x6b916fb4, 0xbe31af2c, 0x0177298d,
+    0xc6ca9e79, 0xb806115f, 0x8d348bde, 0x41bfd7f2, 0x001e5a3c, 0x95151d46, 0x7553164b, 0x61c8a720,
+    0x1a3a82a5, 0x0c096d2c, 0xec2ae449, 0x14167892, 0xb8fa0709, 0xb4729512, 0x3b9cd9a2, 0x25ead241,
+    0x04c9c78e, 0x2922d00f, 0x5a352526, 0x797cc638, 0xa1b7b899, 0x65eff0e0, 0xe8531ece, 0x23696721,
+    0x354e69d3, 0x4485bb90, 0x34b378d1, 0xf5908f67, 0xa2bbbddf, 0x34b5bf14, 0x55c3ac2c, 0x85c19319,
+    0x05905318, 0x0b7e54c4, 0x77a1ad65, 0x105e5fc0, 0x058ca764, 0xbfd8d685, 0x1ed3fb09, 0x850ac61f,
+    0xef171fbd, 0x9368d140, 0xc0422d24, 0x2d1423a5, 0x7c11319f, 0xb354fcc5, 0xb5ffe939, 0x42c43477,
+    0x1b541ea8, 0xd6dd3605, 0xc6b6132d, 0xef915207, 0x1dfbbde9, 0x378d2f13, 0x94dac842, 0x30286952,
+    0x6e80a506, 0x54548028, 0xf91bddc2, 0x38bfbb28, 0x9b80fc05, 0x3b285423, 0x2dc39742, 0x1980fe2d,
+    0x8499e8e1, 0x3035bbc4, 0xf9f4261f, 0x03c607f8, 0x7aa252dc, 0xde5ea6c5, 0xcb898b32, 0xba0c67fa,
+    0x1363ba03, 0x4d0ce6d1, 0x120d1fdd, 0xc56bb0e5, 0xb5a9109b, 0x2b692fe9, 0xdd36b576, 0xb208f822,
+    0xc33e5b87, 0x5a4b329b, 0x30f82bae, 0x7368f42b, 0x4bab18b7, 0x369241eb, 0xa55860f7, 0x5e5ecf91,
+    0x0b6dd46d, 0xf218d451, 0xd818c28f, 0xa2076b7f, 0x83df8578, 0xc29a040d, 0x76452f45, 0xc31813ec,
+    0x1ae7f4a3, 0xc4154499, 0xad4994a5, 0xb73ba975, 0x9bf7cd94, 0x4867518a, 0x91ae5dd4, 0xff810c43,
+    0xa0a4663a, 0x70e763fe, 0x7d480797, 0x0bedcf5d, 0x6d1066b5, 0x7053bf2c, 0x11884941, 0x72d73979,
+    0x16dbd9d7, 0x12bbbc39, 0x9f82e394, 0x5cd8fbfc, 0x11a94920, 0x2a09ce57, 0x2e3c5045, 0xcda1b62d,
+    0x704854f3, 0x0b90b2db, 0xac567bd1, 0x5c90727c, 0x65aa3b39, 0xfaaaa99a, 0x37830694, 0x830429ff,
+    0xc9d90679, 0xe1749a66, 0x0ab336b4, 0x83145061, 0xd6879df2, 0xf083ed6d, 0x1b7b37eb, 0xe0342362,
+    0xe5763915, 0xbd6daac8, 0xeb311eb4, 0x2fbb51f8, 0x951aa587, 0x985a7622, 0xad3e796e, 0x728ea99a,
+    0x644dddb4, 0x721e3066, 0x651bbd64, 0xd29f8dbf, 0x04f095b2, 0xe4470409, 0x116efa08, 0x182cd6a5,
+    0xfa716817, 0x1f9494c5, 0xedd7c9b7, 0x00765495, 0xa1808499, 0x08ab0eac, 0x9ecb73e8, 0x9b6add05,
+    0xab2ee0a7, 0xb25157a5, 0x66f89bc9, 0x7d508149, 0x58fbf71f, 0x231875b1, 0xd59326ac, 0x43e24703,
+    0xca6700f3, 0xa7a5fd36, 0xce5f09be, 0x511d77e7, 0xe9301124, 0x0009f864, 0x53c68ed0, 0xc7afd7b0,
+    0xb39fcaee, 0xafcf82cf, 0x32004900, 0xf3b1d69e, 0x98f405fa, 0x4c479bff, 0x3406cc64, 0x5f9ebdf2,
+    0x1774de12, 0xc80929da, 0xc8788c30, 0x962c447b, 0x6338119b, 0x163613bf, 0xd9ffa007, 0x42379498,
+    0xc0780e5b, 0x66f69a4d, 0x0b088aca, 0xee0e4ccb, 0x3ebc406c, 0x00b4c5cc, 0x36bef2fc, 0x8c87a002,
+    0x362fe2a8, 0x735bf8ae, 0xeb243d60, 0x927f5c70, 0xe4aac922, 0x71f8c70b, 0xb2d921e5, 0x4b346a72,
+    0x66c98b5f, 0xc6e66d4d, 0xdcd546a1, 0x1c90cb30, 0x91188119, 0x5c99ff2f, 0x5e21b1b8, 0xa07564f8,
+    0x0ecd82dc, 0x21c8b2df, 0x41cf71af, 0xb2af3ae8, 0xd63740fe, 0x39ad7519, 0x1fa7bd7d, 0x578ec1ca,
+    0x9e11afce, 0xba2bf00d, 0x46e43efb, 0xc1d64eee, 0xb0847976, 0x57e2c59f, 0xa3bb2dfb, 0x2f01797a,
+    0x9867723e, 0x9e5e2a46, 0x88465bb0, 0x94539b2a, 0x6349f38b, 0x639b2bad, 0xd9e7b38c, 0xe371bda7,
+    0x39b5f8fe, 0xce8a8768, 0xb1a5fdbd, 0x70cead32, 0x32c4221a, 0x37ac1b5a, 0x08f690d2, 0xfb678b20,
+    0x0e60d524, 0xc18dcc37, 0x4dc63a8a, 0x1bd9fdbf, 0xc0d5a06b, 0xcc20c328, 0x38df5227, 0xe9398f4f,
+    0x85bed1c0, 0xb2a77206, 0x9f28097a, 0xfe7cd1c0, 0x491ff55e, 0x21e53d60, 0x90897463, 0xd8e7a3dd,
+    0xd57fedb8, 0x982014e6, 0x22a316b5, 0x0a54d21e, 0x9325c313, 0xe7e2af50, 0x648ad0b9, 0x01c54445,
+    0x59eeba04, 0x8515ddd6, 0xf37fc7c7, 0xe48b8f04, 0xbaad5438, 0xa151d12a, 0xb7a8362a, 0x8d0e8356,
+    0x97857615, 0xc61f5a68, 0x64786685, 0xa026a324, 0x57b100cc, 0x6d251b7c, 0x384722dd, 0x0b5e1435,
+    0xe7deca7a, 0x9825c5c1, 0xf7c2f3a1, 0xd2d31d71, 0xe3fa826a, 0x83d240af, 0x371c330b, 0xb58db00f,
+    0x8ebc43ff, 0xcaef991b, 0x35161ac5, 0x9dc9df90, 0xb1cccf4c, 0x58e45224, 0x6b65116c, 0xd7239782,
+    0x297147ce, 0xeb1044f3, 0x91a6ddd2, 0x390d2b0a, 0x91778671, 0x0796ffdb, 0xa0570f48, 0x778ffb1a,
+    0x27a40bc2, 0x50662590, 0x7da0135f, 0xdd633c2e, 0x7becbeda, 0x1d9d76a1, 0x4478ec2e, 0xc9b40c5c,
+    0x8252dfa1, 0xf42eda0e, 0xbac0b850, 0xde333c67, 0xfd5a2561, 0xaac9a5c5, 0x0b710188, 0x87e97c26,
+    0x2c61c0a7, 0x9c2167dd, 0x6b192886, 0xf66b29ad, 0xa357e522, 0xdb83f0c2, 0xca43baa3, 0xeee56e30,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000022300745198530623141535718272648361505980416 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5f, 0xb699b2d7,
+    0x00000000,
+    0xcbea1d1f, 0xa25cde23, 0x22df65c2, 0x9e48aa37, 0xe102c0be, 0x24fdc593, 0x5dc92c84, 0xe7d940b3,
+    0x1e8e496c, 0xdb5555da, 0xf17a3272, 0x18ec08aa, 0x2cad7970, 0x9fa0bfd0, 0x12a2ff06, 0xe66543e7,
+    0xc5e6cfa9, 0xfec483a7, 0x2a55c1c1, 0x736d1b4a, 0x98451bb7, 0x0bef9d0e, 0x84ff04a0, 0x99fcf649,
+    0x3798399e, 0x3c02d6e0, 0x08f9262a, 0xd64fe58c, 0xd91a6805, 0x74b9bf70, 0x190ae923, 0xd3f64934,
+    0xbae37c11, 0x7dffa095, 0x81b8666f, 0x386a0885, 0x7ea07537, 0xde4dadb5, 0x786e547d, 0x26a6923f,
+    0x051452ba, 0xa8ee4b81, 0x49cec869, 0x1ec5a2ea, 0x9fab96f6, 0x5235c951, 0xdea7dc15, 0x7926ce1c,
+    0xfef7f3e2, 0x4275d0d9, 0x49c8629a, 0x490ce2fe, 0x5b54c0f4, 0xd32821e3, 0xc0c6f397, 0x324d6558,
+    0x3f74f12d, 0xfb5782ef, 0x4ce94bd9, 0xae0b93a8, 0x072fbd44, 0x5ff01d54, 0x77e50c22, 0x24709564,
+    0x0920f68a, 0xbb9f51c9, 0x34a0376b, 0x318d5f0c, 0x104c4148, 0xdd5c0443, 0xd8da60d3, 0x7fc19063,
+    0xfa724019, 0x314c7774, 0x8178b0b8, 0xaf5f14a9, 0x9afef839, 0x2321dd41, 0xac1fa722, 0x0eef2488,
+    0xef6ea28d, 0xe56d2fb8, 0xe7ad12c5, 0x39384f55, 0x7fe0e4df, 0xe3151e5b, 0xbaa07b4a, 0xe17ee562,
+    0xbe4f6988, 0x55755bc8, 0xcbed2b76, 0x444408af, 0xa7e54ced, 0x548cbd07, 0xe682a31a, 0x2071cd66,
+    0x7febcec9, 0xa909b026, 0xb12ee01d, 0xf4e854c6, 0xa2000fd7, 0xa255136c, 0xd85a539f, 0x9c3cc513,
+    0xafdf8967, 0x223a61d0, 0x16150210, 0xd99cb9c9, 0x2547c207, 0x02244984, 0x5cd05c95, 0xbf5acd9c,
+    0xa0252c04, 0xcede8ecb, 0xc6a9433b, 0x5bdabbec, 0xdcb4fcbf, 0x8dfe4810, 0x2176a51c, 0xf7d260b3,
+    0x19e7da05, 0x1cf209a9, 0xfef91d8d, 0x18549b62, 0xc6a0f8b5, 0x86bb6921, 0x0cb9da5c, 0x883e880e,
+    0x061f387b, 0x7dcc4aaa, 0x85e32d4b, 0xbce3d298, 0xcff1b076, 0x981edb95, 0x6376d126, 0x6a6b145c,
+    0x3c3a2d03, 0xd4f2a609, 0x974ce41a, 0x2e90614c, 0x53f4ae16, 0x009ad2b1, 0x41f24066, 0x1cd99000,
+    0x3bb08b71, 0x26717636, 0x8c25f799, 0xff5e9581, 0xcae45e96, 0x27ffe170, 0x41d8c714, 0xa1f2b8e6,
+    0xf8b839d2, 0xc68d3dec, 0xfc8cd423, 0x10126262, 0x7d036be5, 0xf1f5b39d, 0x56911498, 0xc82e9ecd,
+    0xbe088d31, 0x68b51069, 0x870903d7, 0x27aab886, 0x2ecf67ff, 0xd8c9e581, 0x59b440dc, 0xa3cb0bc9,
+    0x0adc764b, 0xa58f8f9f, 0x524be80e, 0xaf6ce59e, 0x27551a7f, 0xf8413a48, 0x769d402a, 0xf9577640,
+    0xc18b78f8, 0x78cd1d92, 0x783cfaa3, 0x704f9d2a, 0xb6f7a116, 0xa91b081b, 0x5a8eb130, 0x09fde6dd,
+    0x7f1294ae, 0xf3a3d454, 0x237ff7d1, 0xaede6f95, 0xc15ccc3c, 0xf2d2c061, 0x9f90ecfc, 0x2cf61f7a,
+    0x6be22520, 0x7d0cc771, 0x3b7f171d, 0x10c88d40, 0xea8603dd, 0x81275fc9, 0xc3f51fac, 0xc5b7f30c,
+    0x66fe12f6, 0xddff0756, 0x6e4bfe73, 0x6c8f13b7, 0xdc96bab8, 0x3b814cd0, 0xf64b3133, 0x01d4b141,
+    0xa78e2719, 0x0f0b0352, 0x604dd110, 0xd2f6d4bd, 0x0b133c6d, 0x7dcf4dfb, 0x4790074c, 0x88f8502f,
+    0x46bfed5c, 0xf713c9cb, 0x6da30f1e, 0x89a90ac6, 0x1e04bb99, 0x50407499, 0x15336b96, 0x37b70e47,
+    0x13704189, 0x19c32625, 0xa56d0554, 0xaadd2599, 0x72b7235f, 0xe90e6ae2, 0x782ea903, 0xc62c1fdb,
+    0x2f115bc6, 0xbe82ffb3, 0xddeceb1c, 0x066dc1a7, 0x090f6b03, 0x4ba8dbe5, 0x31379f51, 0x20892f71,
+    0x9247602c, 0x9308fdd8, 0xf161e2b6, 0x3311ef10, 0xe7a5146f, 0x8a4d0649, 0xda532cfc, 0x446828f4,
+    0xc4b2801e, 0x832b62df, 0x643452de, 0x27439cc9, 0xce6eaa3b, 0xfd2426c5, 0x4a1744d3, 0x630fe075,
+    0x3c546f41, 0xde0ef464, 0x57c4b461, 0x758c63e1, 0x23c200eb, 0xcf93f4e3, 0xa537ab9a, 0x0680c122,
+    0xac47c4d9, 0x6b0b108e, 0xdf64beee, 0xe0ab95d0, 0x13ab9314, 0xc487dc99, 0x4fbb9962, 0x89e6df7e,
+    0xadda5774, 0xc8038636, 0xce2bfef4, 0x1c56c8c8, 0x43dedd78, 0xd839f5c3, 0x96fe8c2d, 0xa67940b6,
+    0xfa021e9e, 0x1263b72c, 0x5b78eeaf, 0xeb1037d1, 0xb22c17e8, 0x9bbded20, 0x18d9f892, 0x1ecb07d2,
+    0xf65ecff2, 0x780c5542, 0xc2d7e85a, 0x62f18907, 0xca344a02, 0x7d6472aa, 0xd467f0d0, 0x6974bd4e,
+    0xbdb091ef, 0x1396248a, 0x5c414eb5, 0x13479a2e, 0x0ffdbb04, 0x66843239, 0xbcffe284, 0xa02e54bd,
+    0x9080d644, 0x8f392269, 0x9b6171bc, 0xb8ac9f9d, 0x3d09e09a, 0xebba5ea5, 0x70b47008, 0xe3a3edd8,
+    0x4616859f, 0xbb1afb45, 0xae30da82, 0xbffd4191, 0x566bbb2b, 0x5942cdc2, 0x567c1fb2, 0x30637aa1,
+    0xab469c32, 0xd8eee332, 0x28d28442, 0xa971a52a, 0x53bee872, 0xaddfbcf6, 0x9a7fa42a, 0xd0a5fe9d,
+    0xa830ff55, 0xdebc40dd, 0x5d8817a4, 0x81e9d085, 0x8ea220b6, 0xd3df935a, 0xb4f405bf, 0x30c1fdae,
+    0x82500b0f, 0x5d432e2b, 0x6bee8dd9, 0x6b1c53d9, 0xef6eff2a, 0xdbff67ef, 0x3acad570, 0x9c922192,
+    0x131098e2, 0x3a17d139, 0xcb2ba272, 0x0d406e53, 0x3aef6fef, 0x8f0472c1, 0x3488ea03, 0x31bed231,
+    0x988c359c, 0x42b270c9, 0x9e3242ad, 0xfb5f8f52, 0x45bfff13, 0x4f66ddc7, 0x243d3885, 0x8b2af10f,
+    0x3071edb5, 0x4c64b441, 0x8f3c1907, 0xcb6b731b, 0xb997f5c8, 0xccb08dd9, 0x743b12ac, 0x5336861f,
+    0x9f143ebd, 0x04477c39, 0x36403041, 0x34350582, 0xd131aeb1, 0x0b15a415, 0x4926a779, 0xb63921e4,
+    0xd6c8a28c, 0x52679e0f, 0x6a0f7fb5, 0x3b5dee09, 0x92f24eec, 0x67352aad, 0xebd33960, 0x2426ece9,
+    0x31a36b59, 0x6351793f, 0xa60ab527, 0xe0bf7c53, 0xb69a29ac, 0xe346ea9e, 0x8d50f499, 0x4e64316d,
+    0x8cbd5d5d, 0xbc5f58b5, 0x0353b3f0, 0xecafc48c, 0x8e159376, 0x00c792b8, 0x823a299b, 0x24279b79,
+    0x2048280e, 0xfc42372c, 0x7c36137d, 0xe315220f, 0x81ecabb0, 0xc515ed3e, 0x593794dc, 0xb03389a7,
+    0x245ed080, 0xae804334, 0x4f267846, 0xda37614f, 0x39ac8c5f, 0x6f4e6e54, 0x8904f1e8, 0xe7499b80,
+    0x24abd5b4, 0xa27422aa, 0xd11a2e6d, 0xd06ea8d8, 0x8dcc5148, 0x774a2f29, 0xe64b319d, 0x7b0cd2eb,
+    0x031398f9, 0xc9666de1, 0xad806501, 0x3ad11e98, 0xedb307a6, 0x0c88bde5, 0x2aeba534, 0xd15b728b,
+    0x1cf61b49, 0xfc673bef, 0xc4165550, 0xb2e2fdbc, 0x28f2546b, 0x8b55bdc7, 0xee76e140, 0xf33a0171,
+    0x7080423a, 0xe5a31d77, 0xd8cc4672, 0x0aae4373, 0x11422dc8, 0xffa91693, 0x7c6fd4b4, 0x52d5126d,
+    0x4451cbb8, 0x16599f30, 0x98e08c10, 0x24c60915, 0x74c7937e, 0xd3c792fa, 0xa0aa407b, 0x14821761,
+    0x446a94b3, 0x01a4f89a, 0x287a0566, 0xc68eacc7, 0x85731d7d, 0x5c82a760, 0x13578868, 0x14979633,
+    0xa408b692, 0xee4e85b7, 0x2d680491, 0x95cc304b, 0x52bf7e7e, 0x422f3221, 0x808ea5cb, 0xcc065754,
+    0xc6c0f6a7, 0x8685457f, 0xb303114b, 0x42ff4107, 0x4bf3785a, 0x6e4921ff, 0x64a7a90d, 0x82ad1e95,
+    0xbd5a03c1, 0x99d76319, 0x275941e6, 0x5d3fcfcf, 0xa3521ca2, 0x699aebde, 0x2e6e0028, 0x146a147c,
+    0x7c8a30aa, 0x4e660704, 0x29acd158, 0x32557dbd, 0x2514a30b, 0x84c111e9, 0xaf9ea3e4, 0x697c9e78,
+    0xa0b478b1, 0xc0fe752f, 0x60307f5c, 0x17f9eec8, 0x555ddb28, 0x2acb62c9, 0x84df9345, 0x861bc7c2,
+    0x9d68b9af, 0x6ef0aed1, 0x42a9e5ab, 0x0677f5e4, 0x1ef13cae, 0x2ec66a05, 0x073ae9f4, 0xa353c625,
+    0x6c3c6f65, 0xf2816a8d, 0xcfb8e8e4, 0x63e0aa5f, 0x3cca14ac, 0x5ab6cf17, 0x9911bb28, 0x2fd73595,
+    0x51ee11ad, 0x0d236add, 0xa6138414, 0x3778b90b, 0xb101de93, 0xa37f72ed, 0x6cde8521, 0xd1bda54d,
+    0x25d1708b, 0x1ea610fd, 0xac1dee0f, 0xdd567936, 0xcc2968ab, 0x5a74cfb5, 0x27348120, 0x7e8697a5,
+    0x30a9fca2, 0xe625df40, 0x70e9c73d, 0x91a8110e, 0x09cee09e, 0x5862ef51, 0xde8248fa, 0x2057d8f4,
+    0x6b20c2e8, 0x2678ae6a, 0x922ad99a, 0x380ac5af, 0x24c0e6e6, 0x87ac33d8, 0x295c9495, 0x7311bcfc,
+    0x7f432d59, 0x6e88c044, 0xaea99f18, 0xb8c23d2c, 0xb7d76df4, 0xe8c706e7, 0x553e34f0, 0xc6ce95a1,
+    0x7f5786f7, 0x0222dc3e, 0xcaecb590, 0xb5961999, 0x112cfc86, 0x88ebb5ef, 0x88df9048, 0xbcdea4e2,
+    0xc16f6fe4, 0x5853b287, 0x214c3bd4, 0xc2cd80cc, 0x2176b9ac, 0x82d29beb, 0x73e88e4b, 0x44e8b5a9,
+    0x927d04d3, 0xe287d266, 0xa459831c, 0x2cefeae9, 0x911c4e32, 0x16df8ff0, 0x21bfba63, 0x5b9f4ae4,
+    0x9fba0d3b, 0x7d27fcc4, 0xeacc7198, 0x7e83bb30, 0x57e978a6, 0x770276b4, 0x076cf93c, 0x4bf4f6b5,
+    0x5b41a054, 0x11e8224c, 0xec4da793, 0x01c7a73a, 0xd1ece8ed, 0xc02000d7, 0x48069fbc, 0xebcacff7,
+    0xea8332ed, 0xe053f836, 0x7ee934ee, 0xfa422c9d, 0x102b6d59, 0x7209771f, 0x5a62daab, 0xa665fb49,
+    0x3d04f596, 0x375c546b, 0xe97ad3e6, 0x14ff8cc5, 0x4f0332e1, 0xa8c78412, 0x8ebab0db, 0x1670e6a1,
+    0x33c44749, 0xd9bee0ee, 0xdbed9335, 0x13f5d28b, 0x9dfa2d4d, 0x0ac5b45b, 0xaf9db7d4, 0xc8135b9c,
+    0x62003db0, 0x042ba80b, 0x68d8bc1a, 0x7a06a984, 0xdfd36904, 0x9a6d12e3, 0xa1cbcb04, 0xe5adff38,
+    0xb8be60a7, 0x2255e16c, 0xc1918cf0, 0xaecfd35a, 0x7f27a8d4, 0xc334caf1, 0x385d2829, 0xab880b8b,
+    0x942280a4, 0x32b584bb, 0x16a932f5, 0x3b91ce25, 0xf18fafbb, 0xad60448f, 0x58bf168c, 0x15d7cde7,
+    0xd2db055f, 0x47abf63d, 0xa8d312a7, 0xd6ba1d04, 0xe5396131, 0xbd9c18c9, 0xba36db6c, 0x4a7b2356,
+    0x57fd646c, 0x04331d87, 0x46f04da5, 0xdf9de900, 0x66ce1100, 0x459e345e, 0xb1c30f9d, 0xe34ce989,
+    0x4f350113, 0x211d9727, 0xd24ca00d, 0x623f8bf9, 0xe2b51754, 0x611dc770, 0x5582cee9, 0x43317f69,
+    0x7ceeab7a, 0x4c6be756, 0x5c33ee59, 0x2da20538, 0xe618a760, 0xdf9d4bfe, 0xad266d8e, 0x10251542,
+    0x50e1c7ce, 0x1a769abd, 0x61305aea, 0x39cfd387, 0x92ca513c, 0x40d175de, 0x2a778a62, 0x61183ee2,
+    0x080d8ec3, 0xd7ee468f, 0xe577ce66, 0xcc33ca65, 0xcb35de61, 0x07243dec, 0x0d6cd9b3, 0x0a35823c,
+    0x0d146cca, 0xc804146e, 0x28b8ad60, 0x65ffc09e, 0x608ce4f2, 0x68f851d8, 0x2541a570, 0xe79103dd,
+    0x729a9e15, 0xce67b263, 0xcfb1787d, 0xbcce864d, 0x05f12711, 0xbaf9196f, 0x4b1fd484, 0x8da84b66,
+    0xada9a1ba, 0x1cbe9d27, 0xa846dfb0, 0x588e4ec6, 0xc3ecca68, 0x2a19fc40, 0x9200ed85, 0x8f348c26,
+    0x21af148a, 0x2550275d, 0x5afbe517, 0xae1689a4, 0xa7511b98, 0x68da5b1d, 0x0045961a, 0x6eead68c,
+    0x58292d29, 0xcf2dee6c, 0x8938fdac, 0xf6f85d5f, 0xea409fdf, 0x9c676faf, 0x8685525b, 0x9aacaf34,
+    0xc6b0747e, 0x9e17cbb8, 0x4129c8ef, 0xf26eff3d, 0xcb741340, 0xb97c696a, 0x308e1a09, 0xbaff0c2b,
+    0x1cb80da2, 0x461d02c5, 0x5efc7594, 0xb25d1a35, 0x9f7c99d8, 0x9764a5fc, 0xb45a956e, 0xd0eedb86,
+    0x4344db66, 0x8be4a780, 0xaf92c0cc, 0x4480701c, 0x802647dd, 0xde20ef83, 0xc7a1fd1d, 0xbe6bacba,
+    0xec02c9c0, 0xb9c492e2, 0xd459652a, 0xdc21bc33, 0x0b863bf4, 0x984f34c3, 0x96b02079, 0xa39903de,
+    0x16bfbba0, 0x8f24aaf2, 0xb8f83f82, 0x689f9b26, 0x67d6fd3a, 0xd3d033d7, 0x927f4a07, 0x00794608,
+    0x2acc6603, 0xcc3c89f2, 0xc403c39d, 0xe0556ee6, 0x45b62557, 0x35088d65, 0xaa989d1f, 0x226d314f,
+    0xa5e94160, 0x7924bd2e, 0x0097c52a, 0xcadc755c, 0xfc16341c, 0xda3c2288, 0x8d028cb8, 0x37c07282,
+    0xf91b0993, 0xaa5828ba, 0x2f54aa2f, 0x2d9740e3, 0xd2a9bba6, 0xce93de97, 0x2dc79d59, 0x3b4f4913,
+    0xfa6c0684, 0xb66653f8, 0xad246c89, 0x25e00a39, 0xc1d0ec3a, 0xc3d55938, 0xe842cfac, 0x9b4bb98e,
+    0x32ade25a, 0x3805e375, 0x2885cd4e, 0x984cb6a8, 0x5c012cba, 0xcb9ba0f3, 0xba0e2412, 0xbb40ddc9,
+    0x8c7c88d5, 0xe5f07c07, 0xbe1593de, 0xbcde4fe4, 0xba97bd7d, 0xa01524a7, 0xeef6428e, 0x7ed41647,
+    0x147069ce, 0x51b00f50, 0x543ce364, 0x9ca6cf93, 0xf06c82e9, 0x2c243916, 0xb17c048e, 0x1553c8a7,
+    0xdeab7efb, 0x3012d528, 0x8348b508, 0xa48a74f8, 0x1856c4a5, 0x32c9eaf0, 0xefa19e76, 0x4b9db38f,
+    0x7c7b3e0c, 0x6ee748e7, 0x3f8799ad, 0x776f2fad, 0x89fd9db8, 0x181da0b6, 0x81fc6702, 0x9fcc87b4,
+    0xc2402b2c, 0xdfeac966, 0xcb66847c, 0xf39c06bb, 0x920ae067, 0x9320cdff, 0x695ef22d, 0xdd50b739,
+    0x7adee1b2, 0x234e2acf, 0x434d945c, 0x06a923c4, 0x3867e86a, 0x01e15c3a, 0x9a2abba3, 0x0041040f,
+    0xcc5e5ec1, 0xed69e3b9, 0x14aa0345, 0x7c5f75b1, 0x7605e699, 0xa799cb96, 0xaa4c5d20, 0x7110efb8,
+    0x47ae18fb, 0x33a45cd9, 0x6a57dc55, 0xa51db63a, 0xc7104873, 0x813b5a4d, 0xcf615697, 0x4f745f23,
+    0xecd524aa, 0xad6511d7, 0x8ce1050f, 0xe0f4efce, 0xba26d818, 0xfeed2432, 0x70f953db, 0xa341019b,
+    0x5e13be60, 0xc13c40af, 0x43f51b55, 0x869200a1, 0xd09cb3c8, 0xbb02a973, 0xa83b95e1, 0xc5b2d622,
+    0xc94867b2, 0x703cd769, 0x4253635b, 0x4620a972, 0xe86f93bc, 0x1bedf787, 0xda91035c, 0xf355420b,
+    0x400c332c, 0x23813f5b, 0xd41bd87b, 0x2c16d501, 0x01c61877, 0xa26cdbe5, 0x43d2f0d9, 0xe6702711,
+    0x140be75c, 0xde49269d, 0x3049c95b, 0xb53d9c76, 0xd01dfe94, 0x3fd45077, 0x8ae801ba, 0x636bd1d9,
+    0xcce56b01, 0x022163e7, 0x5b79ec91, 0xb459041f, 0x3e264b63, 0x2cb7fdb0, 0x85cf6ac4, 0x16811200,
+    0xd04cf015, 0x24494ce7, 0x7f58c71a, 0x4114495a, 0xfadbe9cb, 0x5da8bd15, 0x1f26d447, 0x53ee5442,
+    0x34f9a8f7, 0xac2a8f78, 0x9195a43d, 0x170c130f, 0xc186136e, 0x04ae9943, 0x153455ba, 0x507b95fc,
+    0xa6fb1509, 0x84196c17, 0x9c1d4df2, 0x3738f7d9, 0x2dba9bd8, 0x1a802bcd, 0xa19590d1, 0x08b5576a,
+    0x716d0546, 0x81c68dc0, 0xe8cba4c7, 0x7806cfe2, 0x6ccc9353, 0xd755d4a1, 0x000f70df, 0x9c0ff61e,
+    0xd00851ab, 0x454aa665, 0x3fbfc063, 0x4272977f, 0x0b015854, 0xe1605a23, 0x842ebffe, 0x4c43e23f,
+    0xad771eb0, 0xd6a65ab8, 0x1772703b, 0x891a94c8, 0x857abca1, 0x6fc0fe26, 0x4b7cebc9, 0x26bed817,
+    0xf817bedf, 0x3b63ab27, 0x5f0006f3, 0x01a026aa, 0x59fc4c15, 0xba56b4c6, 0x9c35a681, 0x5398f72b,
+    0x26fb8f3d, 0x970b7af5, 0x01dcb7b7, 0xb2ac897e, 0x0247ee42, 0xfa4b2626, 0xc1e347f5, 0x7493a153,
+    0xbc0da7f6, 0xa9e380e5, 0x65e5be73, 0xff03ba28, 0x5cfdb288, 0xc684ed2e, 0xb351aacb, 0xc61065f2,
+    0xeb008405, 0x5ab9d4ab, 0x7a55b34e, 0x341e5715, 0xf43fbb69, 0xfe966883, 0x6242f7d4, 0x4529caa8,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000011150372599265311570767859136324180752990208 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4daf, 0xdb4cd96b,
+    0x00000000,
+    0xa18ee730, 0x1f04e249, 0x3317c061, 0x380fccb3, 0x64448aef, 0x5a7e5054, 0xce10c4f4, 0x77b69b67,
+    0xa0583f72, 0xd22122b1, 0x9317a2bb, 0x9be60b10, 0x52f97a6d, 0x2a7c2467, 0xa103eb80, 0x5ce8f798,
+    0x99d5f83c, 0x8a92a767, 0x6053ad60, 0x1ec4a36e, 0x75cfb149, 0xdcf0aec3, 0x330f5bb5, 0x077f857b,
+    0x933b49d2, 0x5abeccec, 0xcdf45a96, 0xe6854bda, 0x06d4b3db, 0x3e2860a8, 0xe627032f, 0xd4b80cce,
+    0x364e978e, 0xb900d550, 0x33420071, 0x6d199431, 0x27580b95, 0x29df198e, 0x70004c12, 0x7ff567e9,
+    0x6ddaeca7, 0x9e49dd3e, 0x6dc5cd9a, 0x5d0ef3e3, 0x29bd6c43, 0xd19b7e9b, 0x7737fbce, 0x831c3765,
+    0x99214a05, 0x7180125b, 0x8a3701f4, 0x4807842a, 0xc72dc9fb, 0x88a6492f, 0x3791a4db, 0x44b23829,
+    0x7e1697e0, 0x5f17a2d2, 0xd7653143, 0xc23adb3f, 0x1dec966e, 0xceefe65d, 0x064c4a12, 0x6c1f4625,
+    0x73cc7f28, 0x924a3abb, 0x89ab552a, 0xd1dca25f, 0x3c64f7c2, 0x97833766, 0x7d08fc03, 0x0af2bfd0,
+    0x8f8b5f2a, 0x09f1201c, 0x9312347f, 0x7304612b, 0x888f32bf, 0x3cffd285, 0x00870107, 0x16950ba4,
+    0xc50b2f1e, 0x8b2d0fe0, 0x39724be3, 0x0857c05e, 0x9fd27d57, 0xbbedee47, 0x01a9b654, 0x10513eb8,
+    0x517504b0, 0x1a6c4037, 0xd44d27ad, 0x9bb6a745, 0x40106b87, 0xaca05502, 0xe781e85a, 0xf23b08e8,
+    0x558cc172, 0x4243a289, 0x26b8e822, 0xd953031b, 0x455830ac, 0x33e2b52c, 0xba450845, 0x3df6ded7,
+    0xc7524c94, 0x8c6ea4f7, 0x77231d71, 0xd02e866f, 0x8709c924, 0xb073bc12, 0x92a55000, 0x035b105c,
+    0xfc832a48, 0xae85d016, 0x4cb8ce9f, 0x265e98cc, 0xd3130c1e, 0x9626f7e8, 0x4f2b8fb1, 0x0cde5d35,
+    0x736119a3, 0x8868e318, 0xd5b3cc2c, 0xcc5d094b, 0xbe529588, 0xbc8bd11e, 0x05e7d764, 0x3e1498f6,
+    0xae45d03f, 0xe27f149d, 0xcfe330ec, 0x425ad658, 0x3133ea83, 0x052cfb17, 0xc3851e3f, 0x5ed6e919,
+    0xc73a2c0c, 0x762251be, 0x885f8670, 0xf63b819c, 0x1edbcdee, 0x3d9c0276, 0x5dcec31d, 0x514d8668,
+    0x30ef6cbd, 0x95cbf717, 0x565ad18a, 0x15fe65af, 0x15db116c, 0x7959a749, 0x2dc8bfba, 0xeb20afa6,
+    0xe788b1b5, 0x7281def6, 0x2886d2fe, 0x8f9f549e, 0x2898cb0a, 0xb2bf778b, 0x8dede63c, 0xba903eef,
+    0x6617fd82, 0xa0e87e33, 0x76d2ad98, 0x9fbaece7, 0x4ac35f7a, 0x77089e4c, 0x8316656c, 0x72070e2e,
+    0x80143b67, 0x88b78f7a, 0xa1df5f36, 0x8dd9c3ac, 0x548a693e, 0x362d5dc7, 0x1af15eb0, 0x4eecd76d,
+    0xb6cdd31e, 0xfabd2bfd, 0x2a71c4fe, 0x829ef511, 0x008e096a, 0x700c8a6f, 0x2ad3d20c, 0xe7f5ec0c,
+    0x0fc70aa1, 0xe29d0a0b, 0x13086498, 0x6b058c0b, 0x301f0c28, 0x92f7e79e, 0xf3679a35, 0x4eadd430,
+    0x3eaa398f, 0x15e582c7, 0x1e940ef4, 0xa6e3ba9a, 0xcffd8a7c, 0xe936de5b, 0x6a28c40e, 0xbd1afeee,
+    0x752b71af, 0x6775aeee, 0xc1ac8ed5, 0xd90b1173, 0x81245cc4, 0x8bcc001b, 0xd243e2ed, 0xc95d5143,
+    0x2bfa1132, 0x422bbe87, 0x8bd80437, 0xf323b7c5, 0x9f05d26e, 0x7bc8bb8d, 0x451e886e, 0x32ffdf45,
+    0xc7036fa7, 0xb8863377, 0x9f995684, 0xd07abf3a, 0x0c19f6c9, 0xf53b09c4, 0x069f6a05, 0x49b02746,
+    0xae809bd2, 0x12814d49, 0x18ff6f73, 0xbbb7fe9c, 0x6d8d7c2b, 0x5def57ae, 0xc3334fbd, 0x53233898,
+    0xddbc9b8d, 0x84a2f758, 0xfe98e0c2, 0xc2b57838, 0xb55a3d97, 0x7778210c, 0xc5765288, 0xe4797b97,
+    0x04961768, 0x8925d54c, 0xdd7c9846, 0xd1618cde, 0x36273959, 0x881944dc, 0xa9d34af6, 0xa73866c1,
+    0x706843dc, 0xdd6dd5b3, 0x37bd19dc, 0xe3e6be9b, 0x827bede9, 0xa3823afa, 0x2491100d, 0x459805f1,
+    0x028053eb, 0x5da19490, 0xfc4b1af6, 0x5c4f85ee, 0x124fc458, 0x5311bf5a, 0xea1a40d4, 0x12fa2e25,
+    0xef428e67, 0x61dd8480, 0x7bb98d76, 0xcd0f377b, 0x5e450f51, 0xfaae4768, 0xc3fe357d, 0xde3d3139,
+    0x128df54f, 0xba96dfcc, 0x6a6091f0, 0x18438380, 0x089fb78f, 0xdfa00309, 0x99e8f81e, 0x1c6d748b,
+    0xc9a57b57, 0x7c5d64a4, 0x3ec82a0d, 0xe04fb3a3, 0x6d19720a, 0xbdbc825f, 0xde475e63, 0x8deb2d03,
+    0xd029960c, 0x3ecb74b8, 0xc18dc220, 0xc492d769, 0xc5c841d4, 0x2779daba, 0xe294c35e, 0xbd1a7d2a,
+    0x5e3fae6a, 0x50c6ffbd, 0xb735b27f, 0xeac617b8, 0xc9f6fb1f, 0x39be5d1c, 0x98be9e0a, 0xfe447829,
+    0x203323dd, 0xb9cdddc4, 0x467083fe, 0xe0d8e030, 0x6797b6ae, 0x252cd86e, 0x830a3380, 0xe13580ef,
+    0x6d751f96, 0xd585adfb, 0xf1788f02, 0x26f7df18, 0x4f4dbb6b, 0xf064b4ed, 0xdc75efde, 0x5eb59d60,
+    0x9c46e859, 0xda7fbd46, 0x16ceb0ef, 0xff9a0074, 0xaeabecf7, 0x0c3e278d, 0xaea6b718, 0x0d19f4a4,
+    0x42134976, 0xa2b793e7, 0xe1ce2ff5, 0xb908637e, 0xcd6bebc0, 0x45168ff1, 0x2a087c6b, 0xfb75c171,
+    0x18939a4a, 0xeb302586, 0x14c58bd8, 0xac185ffa, 0x24a1c565, 0xa3376b5a, 0x110fd7be, 0xdc798ff5,
+    0x24b2751c, 0x3066ae47, 0x0a8b7a9f, 0x3c0148d4, 0x47384e48, 0x4c7392f0, 0xa642f684, 0x82c8cdb2,
+    0x17ff87df, 0xae6fd7ca, 0xde9017ec, 0x6a2909e7, 0xfdc52245, 0x26985e60, 0xc274c0c4, 0x701cb16a,
+    0x699cb2d7, 0xdea42753, 0x29f3d3f9, 0x4356f839, 0x1d29f446, 0xc888e9d6, 0xf4d00a80, 0x281bf68f,
+    0x42975386, 0xe3e49d59, 0x605f8cb6, 0x187ad320, 0xd0d9e2b3, 0x326b59a4, 0xd21b6e90, 0x1afd0004,
+    0xf07daa49, 0x5a24b5db, 0x9c9e291c, 0xadfc87b1, 0xf50ee3b3, 0x9af7eb51, 0x889b9754, 0x6a0d821b,
+    0x87f22a73, 0x50ce73a5, 0x0e48c797, 0x4c52a575, 0x3a9523a0, 0x1594fcd7, 0x142444ee, 0xc312620e,
+    0xd75c659d, 0xbe77f0fd, 0xa3e439f2, 0x81f7096c, 0x315979bf, 0xbebd0ebb, 0xd043f1f8, 0x3b3e663e,
+    0xd18f03f2, 0xad257ffa, 0x730962d5, 0xac1e54bc, 0xf5dd03c7, 0x0a6711f9, 0x08f2eb42, 0xcd0b7d85,
+    0xcf5bf47b, 0x3b3e43dd, 0xf6713997, 0x0f1db810, 0x65c551df, 0x2462167e, 0x118fdcbb, 0x43e37fd7,
+    0xbd3083b9, 0xf75b568a, 0x8be54d23, 0xdd4c55f2, 0x12c2ea9a, 0xa816e9c0, 0xdf6d05dd, 0x70348d31,
+    0x2fb7c42d, 0x5bbcea60, 0xe8e15662, 0x0aa3e1ff, 0x39349aae, 0x6d8d2bf2, 0x15c530d0, 0x3fd1c29a,
+    0x33ef76bd, 0xaa65eeb0, 0xa951512f, 0xa7bc6632, 0xee359987, 0x1a66cfb8, 0x7f192303, 0xfe0d4301,
+    0xecfcd77d, 0x1e8f3f1e, 0xc4423059, 0x37349e30, 0x9439d754, 0x0deed0a3, 0xd5620de9, 0x6ca73ae3,
+    0xd212ecf8, 0x38ad4619, 0x0f8fe178, 0xb7125046, 0xe12e9f83, 0xd45ef589, 0x97f273c9, 0x8bb304b1,
+    0x40ba1c68, 0xa10cd7d4, 0x5f6b45d2, 0xa4bad986, 0x67ec40db, 0x6aa9798c, 0x4088c67c, 0x7d18c22c,
+    0x994bafae, 0x1d44c2b3, 0x3ff4a181, 0x69e4c09a, 0x5cbd1634, 0x5396eb91, 0x1ba9aa37, 0xa59676ce,
+    0xda3013be, 0xc0de0f6c, 0xca95b53e, 0x744de515, 0xa2135eaa, 0xb2facc4a, 0x8bc935cd, 0xb53a0769,
+    0xe2092936, 0x75f2ee9f, 0x84b6ada7, 0x4487137b, 0x165e4351, 0x95ef96d3, 0x070b38f0, 0xd540563b,
+    0x4d5b4017, 0xd35d272e, 0x80911392, 0x7d0ea48a, 0xb8d34f00, 0x8316b0d2, 0x82beb483, 0x93386937,
+    0x33b38c8e, 0x0240e209, 0x58463090, 0x14d85c19, 0xdbf50af1, 0x042c5e43, 0x201925be, 0x5db010ac,
+    0x760278fc, 0x6cbac4c2, 0x44641d7c, 0x08044756, 0xa5b6159c, 0xfa49e300, 0x869919c8, 0xb30dc6af,
+    0x2a240fac, 0x6a9eaa05, 0x7ae561e7, 0xf6e77cf1, 0xcdabb914, 0x835c3eeb, 0x8c5dcef4, 0xd8936ee8,
+    0x80695480, 0x2fac5e25, 0x60b069be, 0x042d4cfb, 0x55451322, 0xfd0778f8, 0xbf41422f, 0xf8d8eeb1,
+    0x2b46af43, 0xcec3f9ed, 0xe7207986, 0x42df443c, 0xf9cebdb6, 0x8a7488f0, 0x87b87643, 0x8a66efa1,
+    0x8e88003a, 0x14441bd9, 0x7adb5bb2, 0xd35746cd, 0x8ce10ff8, 0xeba9d3db, 0x42843b31, 0x4d6e2223,
+    0xc8e5dbfa, 0x232f5fbe, 0x9e4a9a13, 0x4d621196, 0xf20457f6, 0x546e8049, 0x51423d70, 0x4b1f075d,
+    0x6d5bab18, 0x666ff4ae, 0x3a3d76ca, 0xd9aa50e8, 0x02e04fa7, 0x645d1cef, 0xb5119843, 0x6faae773,
+    0x800e48d8, 0xa2854905, 0x61e1e44f, 0x44cdfe0f, 0x3850cd72, 0x9520cc25, 0xb2368b74, 0x5d65b962,
+    0xfcae6ef1, 0xe71746d2, 0x286c9c37, 0x5b3ab2b9, 0x84488f7a, 0xffbf407f, 0x3894dd8f, 0x2f290c3e,
+    0xd74d92d1, 0x7dc967d7, 0x62dc7ba6, 0x2de8af00, 0xfaa1e074, 0xe79d3fff, 0x164acc11, 0xfc9e17d7,
+    0xe360a03e, 0x92c3e8cd, 0xce30134c, 0x7b02a710, 0x413eb2f4, 0xfcb36f27, 0x5cb66b84, 0x7fa1821d,
+    0x0adb6ca7, 0xa484a904, 0xc4e49454, 0xe2ddb5b4, 0xd8c881a7, 0xb887475b, 0x8e5a59af, 0x9b403110,
+    0x4c9ff874, 0x64572619, 0x14dc6d61, 0x5039ea96, 0x1eff4e7a, 0xbde04fc4, 0xf1b1ea8e, 0x9db18560,
+    0x2f50bec7, 0x94aedef5, 0x1799af20, 0x9c5bd57c, 0xa119b6fb, 0xe432ebc5, 0x1cfe7e75, 0x69e718e7,
+    0xecf6b7a9, 0xf3734a81, 0x6072e04f, 0x0fdb76e4, 0x8c0ed2a7, 0xf975c64e, 0xdba990c5, 0xdbad731b,
+    0x414b2b88, 0x6055cb19, 0x85778d02, 0x116a83c2, 0x92e5515b, 0x1514725a, 0x36533858, 0x561b8e20,
+    0x632a7bfa, 0xa4577cab, 0x9684bef4, 0x3ce2a94c, 0x0a469a7d, 0x99eeedf5, 0x73e8b450, 0x1698fc40,
+    0x28cac329, 0x437dfac6, 0x3b941384, 0xecb32294, 0xb9412aec, 0x30d2b89e, 0x3c0fd8ea, 0x4d43fdae,
+    0x37612aff, 0x558f1d42, 0x4c2d90ee, 0x4a043d98, 0x99e161a8, 0x79130df6, 0xb84d9409, 0x4ba20dec,
+    0xccded959, 0x1a204b63, 0xb51cf418, 0xc25eba1b, 0x65d8c2c2, 0xb1846a13, 0x53450a06, 0x43ab73af,
+    0x4f842173, 0x1cf9c91b, 0x5350fe5d, 0x87a6dfac, 0xcaf3ee5b, 0xaa297282, 0x8688fc47, 0xaff92251,
+    0x4b8fd22e, 0xae77d0dd, 0xd2c3069e, 0x2fe55a17, 0xa99d86d5, 0x77f51258, 0x771f42a4, 0x27115ed5,
+    0x302717d7, 0x212442f8, 0x772860be, 0x9e4e3385, 0xfb93345a, 0x8484e54e, 0xf577ab20, 0x8b1f79a1,
+    0xd00eeaca, 0xde30fbf8, 0x5892d3e6, 0xbe696a98, 0x66edf518, 0x23be41c3, 0xbb251908, 0x2f98a0af,
+    0xe90cebc6, 0x47a9ebbe, 0xfa015bf2, 0x46d3fddf, 0xb6a426ed, 0x986df64a, 0x96651940, 0x05299688,
+    0xa4cc16af, 0x771b2141, 0xe5cb4c00, 0x872034fb, 0xa70143a3, 0x0f5648cc, 0x7632c66b, 0x31d7940d,
+    0xb076bca9, 0x8358402f, 0x5a446bd6, 0xac0ccb4d, 0x894a12bb, 0x3b0f2a4c, 0x6aa0a458, 0x9f8df482,
+    0x7893220b, 0x1763a29b, 0x3eec947d, 0xe5cbc1d4, 0x49a9f467, 0x94bc1e0e, 0xca51082f, 0x1484cad4,
+    0x32d2db7e, 0xe23d0677, 0x7a1080a8, 0x2d1553c3, 0xa5195b7f, 0x19c40985, 0x63b88eb4, 0x441dfd5e,
+    0xaf9073b6, 0xc1df6ac9, 0x05865db3, 0xdfc076c4, 0xe92c0fdc, 0x16838cd9, 0x377accda, 0xcf41eb5d,
+    0x1dfc45d0, 0xbd9d3401, 0x47afe1b7, 0x1b0497bf, 0xb6f22480, 0x556396f3, 0xf26352f4, 0x40336aa6,
+    0x2ec48cd7, 0x379c83b3, 0xa76f41b7, 0xcfee7885, 0xd89cbb1c, 0xcb5be4b5, 0x4ca03661, 0x05c25975,
+    0xbd153414, 0x7ea6a1c2, 0xd60ee099, 0x915cf140, 0x8f8ee599, 0xba9b211c, 0xe0009697, 0x1be06671,
+    0x6b7d3360, 0xbf77ba4a, 0x4573fcec, 0x3b3c33c5, 0xee42e591, 0x04914598, 0xd558e43d, 0xfbe44616,
+    0x287da0ef, 0x04015908, 0x422a6984, 0x4616f083, 0x3540937f, 0x0c39e7eb, 0x78f2041b, 0x1eda5912,
+    0x0c884469, 0xffaa0c95, 0x5988ac09, 0x763583cf, 0x910a7f46, 0xa82dcdeb, 0x814d3ef0, 0x72b01fb1,
+    0x37ce7e77, 0xb64b768f, 0x338788f2, 0x870512fb, 0x8e296431, 0x4788caa9, 0x6cfcad1a, 0x84659434,
+    0x82fc7cb4, 0xf2451994, 0xd34ea3ac, 0x5db30356, 0x55a747b4, 0xd574f9ac, 0xad24e37d, 0x5d1345be,
+    0x1443d4ed, 0x4d2c9f36, 0x585151e2, 0x36fdfde1, 0x449834e5, 0x65c8e927, 0x5a75b9ae, 0x791ff775,
+    0x9d8c457c, 0x8fcfec09, 0xc7a497c4, 0x851a7e64, 0x0261fd6f, 0x1474ada0, 0xab7e02c1, 0x28d1fb95,
+    0xb167146e, 0xbed9e66b, 0xdd5fa6bb, 0x05b083a9, 0xb6da9887, 0x28c15239, 0x6928a650, 0xc36138c4,
+    0xc1728c25, 0xaf6fff26, 0xab5d2633, 0x81ad57b1, 0x85d62441, 0xc0c6f597, 0xb93bfe84, 0x3de113ae,
+    0x21c74094, 0xeb46b93c, 0x7902e78d, 0x67ddf6e0, 0x629a79d9, 0x2786772d, 0x41be9c2a, 0x893e3fcc,
+    0xec319e7e, 0x8086e253, 0x757133af, 0xf29d4251, 0x981fb036, 0x524563f0, 0xbbee3d90, 0x4e089cf0,
+    0x652f611c, 0x59b9cb69, 0x6434ba2b, 0xe8b4a5df, 0x35dc1f4d, 0xd03c60c3, 0xcaf30123, 0x6bfaa03a,
+    0xb8856f4c, 0x8bb43692, 0x12c0254d, 0x182e5ce1, 0xf1a91aa6, 0x7c917f18, 0xfbc72212, 0xde0b703e,
+    0x8004ee00, 0x97f50acf, 0xa05e898b, 0xa8b8cc88, 0xb5949326, 0x716d84f0, 0x880bf42c, 0xd5ce629f,
+    0x658ac62c, 0x92ff4f97, 0xd71950a7, 0xc27d39a9, 0xebcacfc5, 0x91dd9d19, 0x8be5289f, 0x6559a919,
+    0x0798b029, 0x0a480100, 0x728ff76a, 0xe8ed4856, 0xc66dc07e, 0xe923eb9f, 0x62924944, 0xe0697bc0,
+    0x73853f0d, 0xdf1b6058, 0x66b7af7f, 0x28490fb6, 0x710fc150, 0x11b647d8, 0xc4c1fe38, 0xe82ff5e8,
+    0x3c94070e, 0x41da41da, 0x4b6eaba8, 0x98d26b6a, 0xead2aed8, 0x1c1f54af, 0xd91b0778, 0x632abf05,
+    0xdc7155bd, 0x72d389ff, 0xe6731a0d, 0x8d759508, 0x809d3c5b, 0xe7aedf64, 0x59bd35ec, 0xeb561b44,
+    0x08cb1c9a, 0xff70733c, 0x3d7407af, 0xe8667a71, 0x596adc48, 0x538c03ff, 0x39a4fab5, 0xaf2532c1,
+    0x49196439, 0x6ee2f310, 0x49d03c20, 0x7e84b1e0, 0xf9133a21, 0x08a7af52, 0x23226c86, 0x28e75273,
+    0x63d348a6, 0x9c2378d9, 0xf8dfe655, 0x1d240bd5, 0xec7103f5, 0xca8d6fc6, 0xc85f8c93, 0x1cc30677,
+    0xecdb5c20, 0x43885ad9, 0x6df511d5, 0x56636bbe, 0x8ddfe3b8, 0x3d5dfbbf, 0x6aa2ecfe, 0x15098764,
+    0xd2ec029a, 0xc211180a, 0xd5f3b085, 0xd86e3b0d, 0x499857fb, 0x9961c8b6, 0x3eaded83, 0x32b72bef,
+    0x73266eeb, 0xd41cd52b, 0x388e111d, 0x7c9efbc5, 0x9ce4b8f6, 0x704c735e, 0x6b7c26a4, 0x5e5e1c3a,
+    0xa1a8064d, 0x7f010d72, 0x4ed87f30, 0xd4a1e6c9, 0x9fd3bbb1, 0x57621cc0, 0x4a8c1786, 0xd2262823,
+    0xd03cf9f9, 0xd11e749c, 0xc7736145, 0x755efddb, 0x2abe46af, 0x8258bd37, 0xab145ab4, 0x4f9c8724,
+    0x997b6e5b, 0xec26c6df, 0x44abde13, 0x70b4d61d, 0x3cb9a4c7, 0x90dd14aa, 0xd010e5cd, 0x89396043,
+    0x2dea4a44, 0x4dd412ef, 0xb50439ef, 0x9f2e4220, 0xfaaf77ca, 0xa65675fb, 0x82e4ec2c, 0x53def04c,
+    0xcb1b085d, 0x3bd77a07, 0x3d928158, 0x91704e51, 0x03e7cab2, 0x4c1376e0, 0x17c06b32, 0x2862ef46,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000005575186299632655785383929568162090376495104 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d7, 0xeda66cb5,
+    0x00000000,
+    0x8fcdb34c, 0x73e7a95b, 0xa2d73390, 0x1a87ff71, 0x844ce653, 0x7b9c94fc, 0xc3d09a2e, 0xc5be3a2a,
+    0x94331a75, 0xfe4cb113, 0xc326f889, 0x25fe10b7, 0xd0470db7, 0x9559f3aa, 0x564106c6, 0x6b3b52ba,
+    0x9de20b07, 0x432e1c52, 0xcc9a3df6, 0xb8897933, 0x71bf9221, 0x9a54f664, 0x3253640a, 0x263226e0,
+    0xca7a27cf, 0xb9cfe2c8, 0x8f275410, 0x6554c153, 0x0b3fa42b, 0x474a37cf, 0x7a657054, 0x022f56a9,
+    0x8fe9d58a, 0xd8138ede, 0xc8511813, 0x35af5b80, 0x84d5d36a, 0xdee97043, 0x89be478e, 0x949546b1,
+    0x8ac2eafc, 0x29f8f050, 0xe03e3444, 0x1d09e77c, 0x9bbc25c0, 0xa3174be3, 0x2fe3edd5, 0xfea76e07,
+    0x58836f11, 0x55f474b7, 0xee16204e, 0x0cfcad13, 0x8eb99e5f, 0x020b2aaf, 0x07853e7c, 0x4b43fe34,
+    0xd20b7b90, 0x416b8839, 0xecb120c9, 0x7746d6b0, 0x78644678, 0x0ef8eecf, 0xa89bd4c6, 0xef8c766a,
+    0x85473d17, 0xa94df073, 0x03101926, 0x0e5eb8fe, 0x10f4f24d, 0x28031728, 0xe49c4f72, 0x97c1b3e3,
+    0x85e72402, 0x576f0dbc, 0xc7998a24, 0x5a7fbb09, 0x71a91699, 0x7886f63f, 0x74869dc7, 0xc47fa1c7,
+    0x29045bd2, 0x3605a61a, 0x0d186958, 0x5c860a38, 0xfdd21197, 0x874d756b, 0x8075ac6c, 0x7264f953,
+    0x944b1f0a, 0x239e28fe, 0x9c245d30, 0x53143426, 0xc91d26fe, 0xb3b8c0d3, 0x6f8a536a, 0x93e323dc,
+    0xe3f584df, 0xfcc416eb, 0x161d8029, 0x4da9e2b5, 0xcfe8d9b0, 0x12e1b8c7, 0xb5ec7586, 0xdf97e386,
+    0x32855df0, 0xf95a8393, 0x4a19e9e4, 0x829638e6, 0xdd59c7bf, 0xa88b61c3, 0xda615b85, 0xdbe35f55,
+    0xea2e48ed, 0x06ed062b, 0x1cec16e6, 0x2af6bec4, 0x7f8d772f, 0x6e3305b9, 0xd5944a78, 0x14e119c7,
+    0xccd42c7b, 0x299efc06, 0x1c6ecd5a, 0x7bf7ec8b, 0xc7f350cd, 0xfadcc4a4, 0x6d01b285, 0x003d6929,
+    0xd08fba63, 0xf72385d7, 0x276ce957, 0x0fdab998, 0xe122324d, 0x3ee4afbd, 0x4ef52f63, 0xe2bac3c3,
+    0xfce1e39b, 0xd2e69974, 0xb9f6ad04, 0x2ab15e00, 0x18763966, 0x4956788d, 0xa55d003e, 0x00a76b1c,
+    0xec23beea, 0x1b937529, 0x0055aaa3, 0xae5849dc, 0xa5f05168, 0xb95ec032, 0xce742d1d, 0x43eaeb4f,
+    0x07bb1383, 0x9ff929f1, 0x884a25f3, 0x1a2e3a21, 0xaaab3e35, 0xcc01ea6c, 0x5d788952, 0x24dc652a,
+    0x1b4c4add, 0xf4e8bb96, 0xa5f2347b, 0x1de18366, 0x47a02cba, 0x32055b0f, 0x5547efbe, 0xf0dd3704,
+    0x0ea7b087, 0xbc5fa397, 0xdc2f475f, 0xd4869478, 0xa22cf65d, 0x2d12444b, 0x18ae42c2, 0x06e114d8,
+    0x4a6badd1, 0xb0dc350a, 0xa106edc6, 0x0d70a786, 0x4de5b01b, 0x6df1eec0, 0x4efe5427, 0xf4ccfa6e,
+    0xb8745530, 0x600094c5, 0xdd48d584, 0x3ddd01a2, 0xff1acdcb, 0xf71a6a5c, 0xe030b121, 0x96dd1ec9,
+    0x3cef6d88, 0x45541c1f, 0x68435ba8, 0x0d98ef3d, 0x6f5c257b, 0x35af6392, 0x1b87d27c, 0xfd067d57,
+    0xb2b28259, 0x25891c88, 0x23afe0fd, 0x0e6727c0, 0xcf0cbe49, 0xbc220808, 0x8532463d, 0x9c1257bd,
+    0xc45ac2f8, 0xc12e5d10, 0xf85994ce, 0xf4088462, 0xe6264454, 0x55dedc4c, 0x58bf4aa0, 0xfce33cda,
+    0x1a682a8e, 0xadeaf73a, 0xb6d347a5, 0x71fe6a6f, 0xe309e294, 0xadc2355f, 0x67d22dfc, 0x130f6a83,
+    0x535d89da, 0x9c799c2c, 0x9b2d81cc, 0x0f641125, 0x9973b02f, 0x3f055932, 0xab537da3, 0xc4e46cc5,
+    0xbd9b8909, 0xbeafa041, 0x92d8eaa1, 0x252db469, 0x02ec81f4, 0xfe0f95e1, 0x29f0111d, 0xe0575d88,
+    0x3a5ae61a, 0xd2d9b172, 0x3c891f90, 0x960c4e32, 0x70179917, 0xf10ea948, 0x85724994, 0x680717a7,
+    0x9cb1bcf0, 0x099b532e, 0x4c0eefab, 0xcc86d7f3, 0x54e8e9e5, 0xce24600c, 0xc39b2720, 0x005ae18d,
+    0x29397562, 0x2521bb34, 0x27bfb56b, 0x653537f9, 0x0fb68094, 0xf16b4fc2, 0x0a1e8a9d, 0x009d3b9b,
+    0x5801eeed, 0x1b2ebbd5, 0x7b578711, 0xa2d583d0, 0x9ae8562e, 0xd43219e6, 0x81f7de85, 0xdff4e046,
+    0x2a7f1cf9, 0x938b8583, 0x19b347ea, 0x8e4a1ba2, 0xaa04cef4, 0x66d9af34, 0x94521a30, 0xe7d7ff59,
+    0x4a8112e4, 0x4b83a4ce, 0x95b4c91f, 0xbf9a9e77, 0xbc291e11, 0x612a376c, 0xe2e3c2c9, 0xa342dd91,
+    0xa8c3b632, 0x4698531b, 0xfa6a87bb, 0x96e33e0f, 0x02a3dc15, 0x28d16c7c, 0x71764098, 0xd66aa7f4,
+    0x009b2ee0, 0x12175177, 0x2cda7e3a, 0x1ed65e1d, 0x20e8127d, 0xd3500ebf, 0x10dae44f, 0xabafa03a,
+    0xab337b95, 0x88829aec, 0x36bea890, 0x1b7e2309, 0x512314e2, 0x40cab0e5, 0xc5dfe2f4, 0x60c1bf2b,
+    0x5dc2ed99, 0x581f1f84, 0x9d84217d, 0xf540c59c, 0x80b147a5, 0xde0ede12, 0x757669a1, 0x131547fc,
+    0xec09b0f5, 0x007ab0e6, 0x525bd604, 0xdc343b22, 0xc7abf0c1, 0x2be916c0, 0x3113ee36, 0xa5c38cdc,
+    0x27ba411f, 0xdf93ab75, 0xa93de6c0, 0x841a46b9, 0x8f7978cb, 0x82a2630c, 0x96f45de2, 0x15822660,
+    0x254535e8, 0xdd5645c2, 0x9ad61e26, 0x85a43c0c, 0xe3f19ece, 0xe12d91c7, 0xfa149fc9, 0xa01d4edc,
+    0x9c1287f9, 0xad1554b1, 0xd73b3848, 0x783c9aba, 0xf6bb5210, 0x39aa1f77, 0xfaaabfb4, 0x17283994,
+    0xd83c6898, 0x8aea1e73, 0xd79f8d59, 0xb68ce63b, 0x5dadd5e0, 0x59706f62, 0x2d06112d, 0xfae9aafe,
+    0x6523358d, 0xb9e19a3e, 0x7b120be1, 0x978aa20a, 0x7ad13ac8, 0x8ecbf9d5, 0x585c448f, 0x86e9dbb4,
+    0xfef60091, 0x6f972fa2, 0x27b1626d, 0x175872f2, 0x6a424155, 0x96ee4648, 0x52657d6a, 0xf469853d,
+    0x78c43bee, 0x1f3b0483, 0x0156c6ea, 0x31081f11, 0x3dd381b0, 0x22b168a6, 0x0054ff08, 0x34e2969b,
+    0xa3378b40, 0x6ee09dfe, 0x201e478b, 0xa59e2b3f, 0xe372ea92, 0x6967a6c8, 0x46d24e0a, 0x4a659e7a,
+    0x8302aedd, 0xf5df038d, 0x16f483cc, 0xfa879782, 0xc80a64a5, 0xa4d05b2c, 0xe04bff6f, 0x33f9ef87,
+    0xef549770, 0x93be66d5, 0xd841b03c, 0xebe69a55, 0xc22f11ac, 0xf816d0f9, 0xbedb795c, 0x5fac872f,
+    0xe9bf9973, 0x9033f919, 0x1e341e36, 0xab610609, 0x5c4844f6, 0x2249d447, 0xe6f67322, 0xc3eb6e1a,
+    0x71bfe13a, 0x22bfbc0a, 0xeb277d91, 0x6dc0ee6c, 0x718d537a, 0x1ec75064, 0x211168cf, 0x79f26772,
+    0xa252c764, 0x5e53fc52, 0xfa07fc8c, 0xe5341285, 0x7d0a47f8, 0x5ffd5fab, 0xc098fb28, 0x1e90dd1f,
+    0x144ae450, 0xb16fc295, 0xcba25ef5, 0x2f7897a4, 0xee176477, 0xd727aa73, 0x06224ce7, 0xcef8f10c,
+    0x732cf9a2, 0xe2820a73, 0x360a1e64, 0x85f56d5b, 0xbd475106, 0x293a9ced, 0x9533fc34, 0x8eb29aaa,
+    0x918db851, 0x767b96fe, 0xa69fdcad, 0x4e81d9ab, 0xef28e543, 0x82f9b580, 0xe02e783a, 0xdf955d4d,
+    0xe23ca68c, 0xfb4ca71d, 0x6056bd36, 0x9701e26c, 0x9dc7d45e, 0x83925791, 0x29de901f, 0xf9fd7d32,
+    0xa8c09048, 0xe43645da, 0x604c0f40, 0x0dcd573f, 0x6037ca7d, 0xdb5182ea, 0xb1db28a9, 0x8e6083b4,
+    0x9228f062, 0x3dafecd4, 0xe29c19e9, 0x375d0931, 0x0bac4478, 0x4d51811b, 0xbe52441a, 0x50d9e089,
+    0x0d0d7ac9, 0xa3daee90, 0x5f35a51f, 0xc9ee8778, 0x5818ec4d, 0x35798d36, 0x44e0082d, 0x960dcf91,
+    0xbd75d5fa, 0x8cf168d7, 0x73c45f19, 0x10af8dc6, 0x5808eeee, 0xc82b767c, 0x0ab240f3, 0xb96586cc,
+    0xd62eaf3c, 0x3c6a2d8c, 0x2f102cd1, 0xf40de05b, 0x75358bd3, 0xaef58b16, 0x3b8204d5, 0xf03e981a,
+    0xdd57a144, 0x647e80c7, 0xb746bf12, 0x57fe4bd4, 0xb7c8ea52, 0x7de5b054, 0xf97db031, 0xc4f3f4b9,
+    0xfec3ca3b, 0xe5df3448, 0x5b860955, 0x5d8e6e39, 0x9a7a72f1, 0x2a2fa9b5, 0x30152287, 0xd50bc322,
+    0x6273d313, 0x924f6eec, 0x36beac3f, 0xb37a5b6b, 0xc380096b, 0xd1d8b26d, 0x25ad878c, 0x11695d8c,
+    0x4b5f2e75, 0xe2329774, 0xf7288111, 0xfb6d995a, 0x9e109b52, 0x1b43cbac, 0x1b14c642, 0xd265767d,
+    0x8c59894f, 0x67a89330, 0x9344ba7f, 0x6088c767, 0x691163a8, 0xd5dd4993, 0xc9fdf25a, 0x2b91a687,
+    0xad98a089, 0xd5278cca, 0x6099a705, 0xe3322016, 0x1b30310b, 0x0d3d3611, 0x3916f40b, 0x426bb2f9,
+    0xe50d3faa, 0x82de2b2d, 0xa6afeb73, 0xd19affab, 0xec605d85, 0xfb63f7a8, 0x8c820238, 0x04d21cf5,
+    0xfe35971e, 0xd7255b5b, 0x7363f51a, 0x21bc8251, 0xf4e0d019, 0x7f97d21b, 0xca287603, 0x29191fff,
+    0xed75e012, 0x823dccf4, 0x5de7c6b3, 0xaed28930, 0xf59dcca5, 0x4053acc6, 0x2e3b3fd8, 0x6e27b40e,
+    0xae5a5068, 0x56a04daf, 0x85edc2aa, 0xb042081b, 0x0eaeec57, 0x75be2385, 0x9ec5094c, 0x04fbcccf,
+    0x6ec7cf62, 0x23100d55, 0xd14b1103, 0x50adb9ff, 0x43883072, 0x025d0e73, 0xae1d3ac6, 0x1cddfd96,
+    0xa3f0b726, 0x594b9b92, 0xd71a58bd, 0x0f716e86, 0x34466cda, 0x5d0b1959, 0x15d51931, 0x7afdef9c,
+    0x0a5926c8, 0x94825157, 0x647bc749, 0x8b67886b, 0x974ec7b9, 0x92830c5e, 0xda4552e7, 0xefef9c59,
+    0xdf6ff42c, 0xca01d7e7, 0x3c117e60, 0x0d7bf4ab, 0x64263bc5, 0xc4a78405, 0x4a8f647f, 0xdfab72c3,
+    0x16194577, 0x5d6af0ac, 0x72587ee2, 0x36978feb, 0xed7bcc94, 0x6c6eb157, 0x0ec40dab, 0xb8b475ca,
+    0xdfe2b68d, 0x5efbefae, 0x6e33ad04, 0x8cfb2b8f, 0x214fe317, 0xdc9ebe59, 0x3c07744a, 0x5ee16464,
+    0xaa389810, 0xfd5e4e9e, 0xf4445440, 0x2cf26fdc, 0xd7767d18, 0x1cf1b4e4, 0x397b5008, 0x466e4eb4,
+    0x17dc1438, 0x872b0bf7, 0x1342248b, 0xc17592fe, 0x864badc7, 0x1a0aa667, 0x2743bb37, 0x6a286bbc,
+    0x30b90b9f, 0xecf45b1c, 0x93ec0afd, 0xd3c39980, 0x67a56962, 0x0288c069, 0xee745762, 0x31e7fb32,
+    0xa54574d2, 0x6781009d, 0x6042ae6d, 0xd916cb1c, 0xfb0dbe5d, 0x0819999a, 0xf12e6a5b, 0x9a87399f,
+    0xa3a74e47, 0x3bb26558, 0xd3ec9138, 0x4f77d672, 0x3d3c9d57, 0xa738f3de, 0x9d8f070c, 0x3bcb4cc1,
+    0x03aad098, 0x252eb206, 0xa233959d, 0x317d3b15, 0x68bb9e4a, 0x0fc203d2, 0x96bc1569, 0x41dbbdd8,
+    0x96f0e8ee, 0xb03c1d1c, 0x03fcbd9f, 0x693b6687, 0xdcd41a53, 0xddd8084a, 0x17f55091, 0x67fe2690,
+    0x0ab41d87, 0x7a255f8c, 0x0eef18ee, 0x2e96354e, 0x4c52ae70, 0xa5d77859, 0x322f4d74, 0x1c333d1b,
+    0xdc4ebdbc, 0x6bfad0d6, 0x54b2d89f, 0x8cac8a65, 0x9a84849e, 0x5f026f3e, 0x2d7e1c15, 0x6df11c99,
+    0x791940fe, 0x9d159042, 0x8f037b7b, 0x25452a4f, 0xbe007eb6, 0x5e064718, 0xd80b0b60, 0xf97e7a2c,
+    0x1f483918, 0x2fa7d95f, 0x79bb901d, 0xff6dbeb5, 0x18965ede, 0x1ac82973, 0x459089b8, 0xff00c71f,
+    0x3d831407, 0xb3cf96a8, 0xfcb69949, 0x6f12f53d, 0xde4c67e8, 0x93744c8e, 0xabbdd5ba, 0xd1db0693,
+    0x9ccc8373, 0xc5bfe0e6, 0xa7f757f8, 0x42900e16, 0xec3b2760, 0xa76c3d17, 0xeb537251, 0x12652d02,
+    0xf5088e1b, 0xe1fc3d0e, 0xbc8f60e2, 0x93f802fd, 0x36a38d15, 0x0708f59a, 0x063f2421, 0x458a48a2,
+    0xcf536f63, 0xcc642f93, 0x60daa55c, 0x81a85403, 0x6eb026be, 0x83eebd88, 0xd5722676, 0xca39688b,
+    0x8c5d7c96, 0x2d4b3dd9, 0xbe2f308a, 0xa327040c, 0xeb7905ec, 0x38b2d178, 0x1aa1405b, 0xefac9b2b,
+    0x7f45baf2, 0x3b981a66, 0xbc8e96f6, 0xf373c4cf, 0x7677167b, 0xc5154682, 0xa8154702, 0xf0b042be,
+    0x52daeb88, 0x59001c7e, 0x6071979d, 0xebee5b00, 0xd558f53f, 0x814e7e15, 0xa5ff3baa, 0x2ea1fb92,
+    0xe6ad918d, 0x5db8b1b9, 0x2d77ff95, 0xb34557ca, 0xcba5dae6, 0x9f40a411, 0x76547355, 0x0e96218d,
+    0xe72ba7a4, 0xcd4c8740, 0xaaeef571, 0x6765b018, 0x9b55a7f0, 0xd164a545, 0x2d22752c, 0x60ef24e1,
+    0x3a728faa, 0x4ad28283, 0x10c9e7d8, 0xe77eeec6, 0x75e2dd63, 0x0a0e3af8, 0xe8afdc14, 0x5afd8c18,
+    0xc0856637, 0xcba5b34f, 0x3c5c558e, 0x1744ceb0, 0xf34a818f, 0x162b34ce, 0x033badbf, 0xe7570d0c,
+    0x8b22b166, 0x1f89c4d1, 0x00da2f68, 0xd493c656, 0xeed5c86b, 0x0459a7cd, 0xe4829235, 0xac5c3636,
+    0xbf3a4038, 0xd2097577, 0x371f692f, 0x61306189, 0x61405335, 0xaa0a3225, 0x33d281a0, 0xa6929540,
+    0x617b557f, 0x80f45b21, 0xd0c7b90a, 0xa6d597e4, 0x6abb6f0c, 0xe2d8cfbe, 0xbe4a034a, 0xb57c7b3f,
+    0x4994e025, 0x166726e2, 0x40dcab9b, 0x51ec7699, 0x6000cc64, 0x8a82b678, 0xd07ca831, 0x5a658987,
+    0xbb9fd536, 0x8ffac84a, 0x453da140, 0x292321d6, 0xab5e5320, 0xc526f84f, 0xa9e37493, 0x23853160,
+    0xe11f4ab5, 0xdbc6587f, 0x6b710a52, 0xe302650c, 0x6960063c, 0x36f11fe6, 0x95f40b8c, 0xd213f125,
+    0xa89cfb92, 0x3185fed1, 0x20d37ce5, 0xb4369a63, 0xb14f187c, 0x9855dd2f, 0x84aa2556, 0x06fb8e4a,
+    0xafadd56f, 0x80611a06, 0x27a3bbbc, 0x5bd4a845, 0x6073694c, 0x430eb084, 0x01ecd0f8, 0x2c58c120,
+    0xd64b3079, 0xff2d902e, 0xfdea3bf4, 0x4cf58e59, 0xd62137d8, 0x362a5a81, 0x80f6bce9, 0xef443563,
+    0x28d78aca, 0x6a30986d, 0xcc8e8ddb, 0xea6733da, 0x77cccfd8, 0x02f1b5a5, 0x1d33d701, 0x5b748737,
+    0x33c5d018, 0x75441cb7, 0xce5ba219, 0xa8674a65, 0x9a7467d6, 0x9adfd662, 0x775587de, 0x8042d280,
+    0xf3bc4f44, 0x094188a3, 0x9c715887, 0xa89bfed9, 0x663ddcaf, 0x571f66d5, 0x984aca4f, 0x78ec6474,
+    0x3ced4e73, 0xe5ce0110, 0x2c851c17, 0x0a793f65, 0xcb17c577, 0x98e9954d, 0x32677fb3, 0x63664ea8,
+    0x66023a7c, 0xe189bda3, 0xa0351eae, 0x44fca522, 0x8cb81722, 0xeeba093f, 0xc2e75864, 0xc6948e0b,
+    0x59b3a5c6, 0x5f628fd1, 0x8288fece, 0x1cc3ec64, 0xcc335ce6, 0x263eea7e, 0xabd6b959, 0x776de03f,
+    0xc4b71f25, 0xbf5fede2, 0x59db8395, 0xb0fba873, 0x46aa6853, 0x680fefdb, 0x5dd530c7, 0x79f1353e,
+    0x1297c445, 0x261ae75b, 0xca0580f5, 0xbbd18029, 0x3ea7dc53, 0xe81da9e0, 0x167b1d33, 0xddbb2b3e,
+    0xc6051ba1, 0x2aca8fbf, 0x7879a38e, 0xa43c2bcc, 0x9e78ff93, 0x10fdbb9a, 0x83493ae0, 0xb15352dd,
+    0x8426da76, 0xe8bbfa48, 0x69ae8cfe, 0x85c89f5b, 0x6fe98741, 0xff5c8946, 0x31f2464a, 0xd4fb9a4d,
+    0xab6f813c, 0xb3054f85, 0x1fb31566, 0x6ea03a46, 0x55ba8d68, 0x84ddc0ce, 0xceca7991, 0xf1e781bf,
+    0xfcf39413, 0xf2cd402f, 0x8db96ac1, 0x7f8759e7, 0x4490627e, 0xbe400417, 0xfb999734, 0xe40d0c3d,
+    0x64a6cb3d, 0x69c079d7, 0xc9d7b9a2, 0xb89becf6, 0x9714aa77, 0x71bf5bf2, 0x475221d7, 0xd031d509,
+    0x2df41d26, 0x575569db, 0x3eb2953d, 0xd97aabe8, 0x6edc8be1, 0x8a44dd21, 0x1b17dca9, 0x5bd758e5,
+    0x858e33d3, 0x60f2f658, 0x474181ce, 0x38ba9334, 0xc1741686, 0xcbe09120, 0x09b5d92c, 0x8e08debb,
+    0x477aa82a, 0xa6ec6ac6, 0x1b879a9b, 0x82dc33a3, 0x9e80be29, 0x40c783fb, 0x4fa90f41, 0xe66db108,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000002787593149816327892691964784081045188247552 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36b, 0xf6d3365a,
+    0x00000000,
+    0x87abfe31, 0xebf42856, 0x858a5546, 0xdbf01ab2, 0xc94811a5, 0x70acb7b6, 0xedc8f9cf, 0xe450b270,
+    0xfa2648b2, 0x6badc6d6, 0x80b32a73, 0xd6719a1f, 0x45404b90, 0x41e2b69e, 0x988042a0, 0x517b06df,
+    0x5c49ca90, 0x1c89a8b9, 0x2809d959, 0x91574f8e, 0x82546809, 0x6a7190ec, 0x77e3bb66, 0xd6d3c464,
+    0x4c130c7d, 0x59d747a6, 0x28b8c8ef, 0x88ac7fe4, 0x470dd2d1, 0x8984076e, 0x139e96fd, 0x3855f18f,
+    0xcac56f6d, 0xded7c3e9, 0x230f7572, 0x5bbf8cd6, 0xcda06f7b, 0xb550cd73, 0xe7536f66, 0xe41b0ed8,
+    0xde44755a, 0x46f05403, 0xdaacda21, 0x119fb7f4, 0x252ebbcf, 0x7a98e784, 0x7be1f66f, 0xbe384024,
+    0xe663ac86, 0x0061b472, 0x8427236a, 0xa6821d67, 0xce94bbcd, 0x2ee6b312, 0x80803de8, 0x1960e0e8,
+    0x4143bd50, 0x96f7c1f4, 0xdd7098b9, 0xac04d97e, 0x91b33e55, 0x11ea2bcb, 0x77481c8c, 0xd4439c05,
+    0x2027cfc7, 0x3bea90cc, 0x216ae052, 0xa120d391, 0x0294e7f9, 0xc8213641, 0xe240cc0f, 0x26eacfed,
+    0xe813320c, 0x9347ed6f, 0xdc970f74, 0x154aa77e, 0x56a29549, 0x636dcb67, 0x19b16e39, 0x5fcd0e92,
+    0x0e142293, 0x4d7258b7, 0x39b4436d, 0xffb40f32, 0x3cb4a735, 0x8fafbe4b, 0x11c163e4, 0x9e34e83a,
+    0xd265d7d9, 0x6bd35a36, 0xdc74c59a, 0x2b4408a8, 0x25495098, 0x7036b349, 0x09a31471, 0xdad56711,
+    0xcd02c61a, 0x33be0ee6, 0x627bdeda, 0x99ed9bd3, 0x13071a01, 0xd2805dd6, 0x4492f82d, 0xad340092,
+    0x8125ff3b, 0xf799f647, 0x2ea265d3, 0xa75e543a, 0x3c824c13, 0xdde5bfb9, 0x27612941, 0xb3d51b09,
+    0xbeda2366, 0x4dee52d9, 0xa7b012bd, 0xdcc63fdf, 0x98bd302f, 0x7c0f2d1e, 0x7a319546, 0xa7b5bb6e,
+    0x80a768aa, 0x94edb4cf, 0xc499fee2, 0x750a8ed5, 0x26aee735, 0xc2c84623, 0x73832246, 0x67b7ef79,
+    0x18a423c1, 0xe6682abc, 0x47a8652e, 0x19c3971e, 0x31d72022, 0x300c09ad, 0xdc8a8a4a, 0xbdc03be1,
+    0x39015ae2, 0xbc3fdb3b, 0xabfad9bc, 0xcbfc3058, 0xa49a115f, 0x4f8d34f9, 0x5d3c6b0d, 0xb110f8cc,
+    0x4729436e, 0x3898d017, 0xd369876d, 0x97351556, 0x35d90a86, 0xf62eb7e0, 0xd826e953, 0x66995e15,
+    0xe6e78adc, 0xadb6c11f, 0xa4c548ff, 0xa2499181, 0xebca3c35, 0x56ae6308, 0x7f555ba8, 0x30c2e206,
+    0x6da07a1e, 0x874adcff, 0x26898f9b, 0xfd9b0967, 0xf6aa3c54, 0xc962bae3, 0x44a7bab1, 0x37024d82,
+    0x42eac0cd, 0x63a78e46, 0x559c2398, 0xbf561195, 0xf2c543ab, 0x38703130, 0xb5338752, 0x4185d01d,
+    0x9657e6d7, 0x9cd8ad46, 0xf971d518, 0xb7917427, 0xfd23af37, 0x324cbc8d, 0xec46df0d, 0x9ab7dd6f,
+    0xe2b11828, 0xf2942966, 0xe535dbde, 0xad04c258, 0x2e5eded1, 0x8848b30f, 0xaf71797b, 0xad202909,
+    0x332f871e, 0x844c42d3, 0x57eeab6d, 0x5d97dc14, 0xf40b10aa, 0x4b3717d8, 0x099b087e, 0x512634e6,
+    0xdb4bb29b, 0x128aed0f, 0x45d5e3e4, 0x7e0add7f, 0xecad2435, 0x3851f128, 0xb52a6493, 0x235caf3d,
+    0xfa1324c7, 0x037d7f2e, 0xa8dfca1d, 0xf3094b6e, 0xaa04d4c1, 0xe0707774, 0x186a8426, 0x0290c721,
+    0xb949845a, 0x1e57e435, 0xec88179d, 0xf5e5d32e, 0x7679bbf2, 0x7cf1eed7, 0x891bf9ea, 0x2509f2ce,
+    0xb4a8d252, 0x36b0f849, 0xa58391c5, 0x5ba74b7b, 0x11fcc8ad, 0xfcc41188, 0x625aeb6a, 0x1e80b0e2,
+    0x7a3aaf84, 0xb3296c26, 0xcffc3fe2, 0x3c31ae35, 0x746cb10e, 0x14816068, 0xe0938c45, 0x9a7cc680,
+    0x4a8c4026, 0x43c6f48f, 0x7c7223b0, 0xa90fd6b9, 0xf9656fb4, 0x313e3738, 0x77d07dfc, 0x7eec0385,
+    0xdc346ca6, 0xa9e2d2b5, 0x3f3fc6ba, 0x2fc0398c, 0xfe077960, 0x786e45ef, 0x07aee6b2, 0x81adbbc3,
+    0x36b04271, 0xc69b2563, 0xf77dc911, 0xedfedd83, 0x25f54ec1, 0x29683138, 0xbede9baf, 0xbeebc116,
+    0xbc350b3e, 0x690e437e, 0x51bfe0b8, 0x29aff6b2, 0x38bf5bd8, 0xa9bf58cd, 0x53111c1e, 0xc1f2279a,
+    0x0c7d3610, 0x8b5a9bed, 0xceeac917, 0x8ac21b1d, 0xbdfe4b49, 0x785aa8d9, 0x42bc66cf, 0xac755d71,
+    0x7ee9ce08, 0x821e83c9, 0x48305b33, 0x53039e88, 0x23e9bc6e, 0xaf50b234, 0x2c061a99, 0xd9715fe8,
+    0xcd14a4ef, 0x85940db9, 0x5f1c69a9, 0x61cfdc22, 0xd2b9cbdf, 0x20ad6275, 0x329d8bc4, 0x65ba9315,
+    0xfee719cc, 0x047fe177, 0x43c47235, 0x8f6f5947, 0x2acd7498, 0x9ab50dc6, 0xeb35f0e0, 0x755444fb,
+    0xc4404526, 0xa7b4d0ff, 0xe6d367b0, 0x54461578, 0x5e065d51, 0xeea42afb, 0xa44ed004, 0xd3bf42fd,
+    0x4ae4b2fd, 0xb354d363, 0xa2e60461, 0xe3160c68, 0x8d1fd00f, 0x28299983, 0xc639a7d9, 0x9f2242dc,
+    0xc45e52c8, 0xd175dc79, 0x07ecf6e4, 0x4d23f2b5, 0x1aea15a9, 0x38a20014, 0x4f7a9d8c, 0x22a9bafe,
+    0x8ae82693, 0x3270c2a9, 0x11accf4d, 0x9224c250, 0x43a4ada2, 0xad9e6f80, 0xe9bc672d, 0xd678e312,
+    0xcdc44406, 0x9d3ce799, 0x354b13db, 0x79ac1cc5, 0x1452d790, 0x16289302, 0xd3459916, 0xf592ba9d,
+    0x234e531f, 0x784e48d2, 0x16115ac5, 0x43832fb4, 0x6481e538, 0xcbd3c305, 0x7b70f1ba, 0xc45d23bc,
+    0xc1876570, 0x7c62f422, 0x9cae1377, 0xfdc3f693, 0x60e01682, 0x24f4ba8c, 0x41aa5bc5, 0xb0dd8f0e,
+    0x25c3f8f7, 0x07d6b467, 0x63256bea, 0xa42f8838, 0xc918d5c1, 0x5bf0c9ce, 0x3c838b29, 0x62b9a8f9,
+    0xfbca47ce, 0x62f1e44c, 0x624e139f, 0x9120ba57, 0x464584cb, 0x389b55f9, 0x74939787, 0x7cf65be3,
+    0xbe1ffcf6, 0xc3a59ff7, 0xf720ee20, 0x18860a5e, 0x2beb61fc, 0x075e89d4, 0x74b3a1b2, 0xe89f0d7c,
+    0xf5ad8bf5, 0x3313f0bb, 0xedb3347f, 0x7f71b50e, 0xd58caa9c, 0x625d0912, 0x9fdd4776, 0x5552c028,
+    0xa8865cf3, 0x9cd95eaf, 0xd701f8f0, 0x0cd722db, 0xe0ad4fd7, 0x6d74982b, 0x60bf4621, 0x6c59bf8d,
+    0x46a31ddd, 0x8d706af9, 0x7a9e9a17, 0x7f0ef8fa, 0x2167b686, 0x821f2494, 0xacf99fb9, 0xfa725179,
+    0xe5e1249b, 0x9e73a712, 0x9ac68489, 0x1dc61177, 0x61fef12e, 0x16c597a9, 0x5a3f703d, 0xe397e3c5,
+    0xc94f6ef6, 0x24aef61b, 0x2e03dddf, 0x7df2626e, 0x3220f21a, 0xcf9f5fc6, 0xf1d16020, 0x283663f1,
+    0xbde0ec5c, 0x9189f08e, 0x2af4e4ca, 0xf89d05ef, 0xe4b4b6c9, 0x53b19424, 0x132cf091, 0x99896ea7,
+    0x3c170dd8, 0x214a21da, 0xb434aea7, 0x34a8b2c4, 0x1b735581, 0x2b185725, 0x71279e87, 0xcda5633e,
+    0x9109a161, 0x7f444fd3, 0xd0ef8e16, 0x43e36726, 0xe091a142, 0xec98708f, 0x30518dbb, 0x0178b8e8,
+    0x20d23bbb, 0x51db75ec, 0xd6208e0e, 0x1fb05e4a, 0x133bf48b, 0x4d5892ea, 0x7894b0cd, 0x1c27bbf6,
+    0x64bd6b38, 0x19ed8943, 0x20f5f85d, 0x4ebf7551, 0x7e67655e, 0x594389c2, 0xd69bf9f6, 0xe41d374d,
+    0x06ed0db7, 0x190cfb57, 0xf861fdf5, 0x1b68e9ce, 0x58be8db6, 0x931503a0, 0x44746aeb, 0xe60b8648,
+    0xd095af18, 0xeca8d7ec, 0x738e6b26, 0x0e76e198, 0x8ad40495, 0x259c28cb, 0x65e9829d, 0x6b8479ba,
+    0x6e2cb56f, 0x7a065e0c, 0xee51938f, 0xcbe21dcc, 0x33a7b9ed, 0xd71531a6, 0xc4f41687, 0x016efc47,
+    0x882b6158, 0x7a502804, 0x023fcf2d, 0x2b7b2aaa, 0x9d1436ba, 0xfaec6da0, 0x80e16e17, 0x8aa32bc8,
+    0xb9d60685, 0x0c5826e1, 0xe43d5ed4, 0x5de308cf, 0x1cda691f, 0x4626707b, 0x8f420ba1, 0x8e973fac,
+    0xddba0d5b, 0x9674be21, 0xadbf67d1, 0x978a344d, 0x40a0eaa1, 0xca437d97, 0x43723053, 0x0b44510c,
+    0xbf770c65, 0xcfb87374, 0x88ed4051, 0xf3baf65b, 0x7aac2148, 0x8a44d24a, 0xd70765af, 0x7c8ea24b,
+    0xf5e3fc7d, 0x7da7c80b, 0x6cd8a807, 0xd1972671, 0x574e52f8, 0x5e012d66, 0xfce02277, 0xffe77981,
+    0x1ad011a2, 0xacb594f5, 0xd67aa397, 0x3cb35a66, 0x0a8b0ec7, 0x526e2156, 0xb9288468, 0x715dfe80,
+    0x88a9db4a, 0xebbb2396, 0x113fd28b, 0x44c4f4dd, 0x2b521b30, 0x3f644e4e, 0x3976f991, 0xfb5fdb7f,
+    0x59e2c66c, 0x93296ffd, 0xc12ca786, 0xef21aa91, 0x552e9806, 0xcf3099f9, 0x39afd178, 0x26917723,
+    0x63b3c766, 0xafeeab7d, 0x165805ee, 0xfa38fa24, 0x3a457b5d, 0x30d66d5d, 0xa4c6a2a8, 0x1b89d594,
+    0x3948e641, 0x6bd078b6, 0x4159163c, 0x6ee97ca9, 0x7c5f2d1f, 0x384f68b5, 0xa59adea2, 0xd8716ebd,
+    0xf0a29c48, 0xe96217a2, 0xd47c3099, 0x0583bb94, 0xd1f2b9b1, 0xc0864c66, 0x67f1c222, 0xb056b9c6,
+    0xe5c0fd34, 0x9f139fc9, 0x5885ca11, 0x36574591, 0x2738af6e, 0x3683be9a, 0x8ba62c26, 0xb2ad30a4,
+    0x13b93dc7, 0xf9a3f4c5, 0x870e1b15, 0xdfa81f57, 0x436325e5, 0xa330ddfd, 0x17b5bfb1, 0x7da1db87,
+    0xf0d166f3, 0x7b7ac4eb, 0xeb240bd4, 0x25f5def8, 0x0ba12435, 0x2a4cd261, 0x44bcb5fc, 0x4a48ad34,
+    0x626944a4, 0x88043325, 0xdecfcc15, 0x135d464f, 0xa3d7fe09, 0xcc608cb7, 0x2b7bf0fb, 0xd7dd0935,
+    0x407671eb, 0x71443b3b, 0xee9143fe, 0xc7efd6eb, 0x09a7ef8e, 0xbec690d0, 0x300bb717, 0xb1e6a238,
+    0x1adb2f25, 0xe0346a53, 0xdcbe720b, 0x2777f452, 0x67e1a700, 0xf38cc773, 0x698b971d, 0xfd9f6fee,
+    0x64110046, 0x5c25bd07, 0x3e916b0d, 0x372c2139, 0xcf355f8b, 0xa1d76de9, 0x78ebc1fd, 0x375bb398,
+    0x2f97a364, 0x2f9127d7, 0xb1e4686d, 0x9338ab9a, 0x75ab2338, 0xe037ae3c, 0x847d8164, 0x59d7d293,
+    0x3dc91c77, 0xc0c7d81d, 0x3b58c8be, 0x0909cb2b, 0x1dc8bc0f, 0x5d8f74b0, 0x56f30cba, 0x0b642fe5,
+    0x30953adb, 0xfb8eff56, 0x6ebc2ea9, 0x0afb9c40, 0x5ba080d5, 0xb3e17fdc, 0x90d030bd, 0xd367b71e,
+    0xa0f25e40, 0x63213242, 0x2fa0e1ef, 0x9a34c98c, 0x4a4af8f5, 0x28d27b7f, 0xba977e86, 0x202beaa7,
+    0xea41800d, 0xac178035, 0x69e61f14, 0xc78f7edb, 0xeaab5e7d, 0xa94b5066, 0xd3da58cf, 0x9ed13d82,
+    0xdcd90366, 0x648db90a, 0x37b91bf4, 0x4b22c27f, 0x9ca1eb8e, 0xe4def7c0, 0xc9db9300, 0x2ea3f723,
+    0x265954ad, 0x1295e134, 0x18609e93, 0x4ced560e, 0xabf2a358, 0x979035de, 0x10bc4f39, 0x3154ef44,
+    0xb4be2976, 0xa7c06fcd, 0xa2125b60, 0xb767d0a4, 0x1cdd5707, 0x16dcf7eb, 0x620c8be6, 0xac813ab3,
+    0xdf0041d5, 0xba5618c9, 0xefe01cbb, 0xd977dce5, 0x5a71f5c2, 0xedec86dc, 0x63eaebdf, 0xd683e04b,
+    0x0f026695, 0xd5656427, 0x2347f0af, 0xd28ddaeb, 0xa26237ef, 0xdaabc46e, 0xd68844f7, 0x79de697d,
+    0xc82eb99f, 0xbb821028, 0x324adac4, 0x0d87a886, 0x3e6bb431, 0xee9cf0c6, 0x6537432b, 0x636448e7,
+    0x8ce24f97, 0x2fcc9e5b, 0x26316831, 0xf3ee22f8, 0xf66f02a3, 0xc4a087a2, 0x54b43959, 0xf4daf0ca,
+    0x35db4c28, 0x2ab1267c, 0xf20fa587, 0xbf4c5936, 0xd5b3ce0b, 0xc036e5f0, 0xa92ecebd, 0xe09189ca,
+    0xd056aedc, 0x0ce534b8, 0x23c1869c, 0x856e17d3, 0x94b29079, 0x00390e54, 0xa5e7c582, 0x884846bf,
+    0xe0651b41, 0x2c5be919, 0xb765af2e, 0xed535ace, 0x415cde3c, 0x00216317, 0xb107eaee, 0x061d2e8b,
+    0x0b58dad1, 0xc2720002, 0xe6bef5dd, 0xc6515d29, 0xaa93ed78, 0x314e9aa3, 0x5486c0aa, 0x90203477,
+    0x1b5a514b, 0xeaccb642, 0xf904da97, 0x05373a81, 0x2570653d, 0x2af08fcd, 0x35a54441, 0x2fe74ae4,
+    0xa14f5f2b, 0xf0f7a4f6, 0xfbd27e81, 0x25794370, 0x36595197, 0x1b45cde8, 0xee69181e, 0x47649b1a,
+    0x5e29504b, 0xcfb52a55, 0xc062623c, 0x634b6b06, 0xbfef9f1c, 0x5eb5c35a, 0x853fb12c, 0xad583919,
+    0x8215ab6c, 0x73c0991d, 0x30ff8df5, 0xd62f98f7, 0x3ef8dc95, 0x1e9bbc3b, 0x9fc2fb15, 0x4d9a7ba8,
+    0xd127e184, 0x2ece6fc2, 0x418aff14, 0x046da9f7, 0x8a6bee71, 0x066ef0d7, 0xbf7a4912, 0x9442200e,
+    0x9b4b758c, 0x4d84ed55, 0xfc53b028, 0x8b72e303, 0x05308276, 0xd77bb45e, 0x4eecf535, 0xaa72cec9,
+    0x25198bd8, 0x63c2d477, 0xa15ee115, 0x103f4170, 0xcc9a1b43, 0xd910be37, 0x5016e07a, 0x005d08a7,
+    0x7070112e, 0x9262435b, 0xdf291707, 0xf17af96e, 0x78e8cd15, 0x992fd0d9, 0x0709b387, 0xe1dc9614,
+    0x45b18d6d, 0xa7da502f, 0xac1273da, 0xbb9dad64, 0xe0c67a4c, 0x7c392895, 0x3be27022, 0xdc9d0d8c,
+    0x2cffc8ce, 0x540150a8, 0x7863da46, 0x3b9597a9, 0x9e5c03c0, 0x22bb0fa7, 0xdb102e9d, 0xcf2f89d9,
+    0x4235fce4, 0x61dd34d1, 0xd2a18a9e, 0xae79fac2, 0x79f7bd21, 0x5b5e03fe, 0x1e0a87bc, 0x17f8394d,
+    0x2c195318, 0xe4946239, 0xd0bd3f90, 0xe9f2b225, 0xcaa8cf50, 0xc58da2fc, 0x574adc5d, 0xcedbd39f,
+    0x7516a55c, 0xe2feff2d, 0x263a480e, 0xebdcdde3, 0xcd7d940a, 0x084920cf, 0x3c25907a, 0xfe8d8338,
+    0x81c897ff, 0x6cce2058, 0xa6e4ca23, 0x489cb2e6, 0x426c22c2, 0xaa211def, 0x90264c12, 0xaa7d775c,
+    0x2deb9e33, 0x76e7e5f0, 0x4fbcf68f, 0x49ea3665, 0xb40b2fd5, 0x01ff170e, 0x6f46c05a, 0x2935dbb4,
+    0x020bfadf, 0x9a7cab24, 0x88a2cb1f, 0x839753fc, 0x40a47c23, 0x27b5b5c5, 0xdd5740ba, 0x4083b8ba,
+    0x60b76910, 0x2c66d0a4, 0xf4072e86, 0x5cfbc45a, 0x3bbac5f0, 0x9f7e041d, 0xdfd3c887, 0x79bb273c,
+    0xb9de634a, 0x61a08f66, 0x15c9cea6, 0x2f03ba9b, 0x126eb578, 0x899864da, 0xe03418e9, 0x05df778a,
+    0xfada9ca7, 0x9b69c3cc, 0x713c3349, 0x1510f2d3, 0x87eb12aa, 0xfe1feaf4, 0xffbbdf27, 0x6e651891,
+    0x048402e5, 0xfc771565, 0x8451437e, 0xb5e88b85, 0xbefe4e7d, 0x47dee6a6, 0xee7e0eb2, 0x5a6555bc,
+    0xc7611d05, 0xed9fbe36, 0x76febd86, 0x541390b3, 0x857594b2, 0x3b6b1203, 0x32813b45, 0x6db0ad90,
+    0x8869d7c5, 0xfc1bbed7, 0xd60c66eb, 0x3f071d3d, 0x76eb9e82, 0x78134cdd, 0x57d72d67, 0x04ebb616,
+    0x9a5e2a42, 0x1069aab7, 0xbc076bcd, 0xa8c21577, 0x03d74c09, 0x548462bf, 0x2df101cf, 0xb7fa31e7,
+    0x2d0d27b5, 0xe26a8d28, 0x30a8919c, 0x942db1e9, 0x38d70dcd, 0xb3521d8d, 0x98338048, 0x7a435722,
+    0xe9d77860, 0x59d801c2, 0x17c9de0f, 0x071655f6, 0x182c37ed, 0xcdbc155b, 0x4e3affac, 0xee8add6c,
+    0x8b1dd9cc, 0x04460d4b, 0x9364ff02, 0xaa5dad29, 0x0662dc78, 0x6ffde4b7, 0x96ca60f7, 0x54087ef8,
+    0x66947e38, 0xef158abc, 0xeea36e94, 0x35deb065, 0xfa8c1fae, 0xbfdd2e86, 0x088fdf64, 0x392ab388,
+    0x53bb13bf, 0x8831d2d7, 0x3b008d87, 0x7929d501, 0x7e94ef40, 0xda45a338, 0x5cedc45e, 0x36c0d849,
+    0xe484e66d, 0x5aa3fec4, 0x8a64183d, 0x5eb20e74, 0xcfa7d5a3, 0x3fdb74a0, 0xa153fcea, 0xbdba2a7a,
+    0x382f7aa6, 0x7d078c8d, 0x47c0d6df, 0x51bdc525, 0x0e848ac9, 0x9cfd0337, 0x3d543a3d, 0x78aa35c1,
+    0xc24c9644, 0x059bbf01, 0x1e8a6d98, 0x394eac15, 0x273b2696, 0x5bb6f275, 0x399b7d94, 0x74312419,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000001393796574908163946345982392040522594123776 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b5, 0xfb699b2c,
+    0x00000000,
+    0xba5d7ea8, 0x5ce0b230, 0x0f8ed953, 0x504a2642, 0x0431f896, 0xa8a11a51, 0x86ebf2d1, 0x27bcd820,
+    0xeaf5b136, 0xf9c5f6c7, 0x95f93cc7, 0x1fdcea53, 0x4c4d987a, 0x9eaacaa4, 0x6269d859, 0x6086ce1d,
+    0xc44e1bc4, 0x5b131aee, 0x37d641c8, 0x98937fce, 0xea67e43a, 0x1e321602, 0x459959f3, 0x97b4b170,
+    0x908a8a02, 0x4d8426b1, 0x963c633e, 0x3b9a5ae9, 0xe02e9157, 0x4dc0b829, 0xad904751, 0x6b044ab4,
+    0x61a2054d, 0x59e74778, 0xffbc937e, 0x0f444948, 0xff536297, 0x93e1a4af, 0x13f56838, 0xd300be9e,
+    0x879827a5, 0xeaf989da, 0x5008be8f, 0xba50622f, 0x60a1c1db, 0x7b65769a, 0xa2464720, 0xbdbb015a,
+    0x946cb167, 0xa3e9c516, 0x4ce0e6c8, 0x127af9f5, 0x692816be, 0x7e6271b9, 0xe5501e8c, 0x4294fbfe,
+    0x14a3e705, 0x2450193c, 0x71896915, 0xe7b4ce05, 0x277a6fb6, 0xca45cbeb, 0xc54a3027, 0xa574edae,
+    0x1b05838e, 0x8e356b4a, 0x8039475c, 0xf157f6ea, 0x4e601031, 0x29521044, 0xfe2824d2, 0xd2127699,
+    0xf68c2e5f, 0x80734308, 0x26c974d2, 0xfc33a0b2, 0xc0080a7c, 0x8f84a967, 0xbdb81656, 0x72812ccf,
+    0x324865a2, 0xce3fef9a, 0x85263d5f, 0x255ae51b, 0xf15e6e2e, 0xb19d7b93, 0x2140b5ad, 0xa02ea07e,
+    0x677ded26, 0xfda1a0b6, 0xf7174f25, 0x9bf8aa54, 0xb4a4acd5, 0xe4e17d68, 0xa52eb55d, 0xc852911f,
+    0x0015542b, 0x4e4b8bcb, 0x06741e00, 0xe3677b11, 0x1dfd94e2, 0x46fe7fd1, 0x3dac66f2, 0x87422115,
+    0x042c18d9, 0x1c9dbc94, 0xf13e9ca8, 0xc6bc30d6, 0xf3c2520c, 0x74226a4a, 0x1a94b939, 0x90129f66,
+    0x223f06d8, 0x4cfd6ddd, 0xafc2717a, 0xea93eb60, 0x0a4379d2, 0x0106be77, 0xc2da36c8, 0x8a2750a7,
+    0xf57222e6, 0x2ccaf185, 0x29e3f674, 0x4fb16b2c, 0x16b6afeb, 0x8435696e, 0xec31b8bf, 0x218fb84f,
+    0x8afd1b1e, 0xb53a33de, 0x74ed6d01, 0xe2d327e8, 0x98a4a5db, 0x6a41fa6d, 0x661539ea, 0x4d9f0a03,
+    0x863eb6bf, 0xb3a5cef9, 0xbeecaf80, 0x4f2ac3c7, 0xc4114d47, 0x7f322ca6, 0xc5cf65f2, 0x26c54e70,
+    0xbd849379, 0x849ae9d7, 0xfbb3dc09, 0x520dbe87, 0xd272de2e, 0x8ee0dde1, 0x63ecfb07, 0xcb56e363,
+    0xc5a2a038, 0x1c931103, 0xedcfeee7, 0xff0869c7, 0x4601bdac, 0x46a9a6ed, 0x7386b98b, 0x7c7ebeea,
+    0x12ca660e, 0x68718e8f, 0x0ac56d1e, 0xe9eb8458, 0x69fb5ce3, 0x8380d5c0, 0x6157716f, 0xd42111bd,
+    0xc4e9756f, 0xde997d9d, 0x563cca00, 0xd88865a0, 0xa9673e87, 0xdd63c54b, 0x1cb07739, 0xae20a917,
+    0xb7ab15db, 0x8a603e24, 0x3222434c, 0x06e0f9b8, 0x6373cd78, 0xa3a79341, 0xacebc3e7, 0x576de783,
+    0x7dad1336, 0x80b93f37, 0xc3e03222, 0xb14597e2, 0xdfdfd97c, 0xa79ed48b, 0xc46ef879, 0xd6e88e90,
+    0x273f20f1, 0x8bf54402, 0xa63d3cf0, 0xbddea425, 0x75d159ab, 0x6d95c559, 0x0ac20ab4, 0x94200ea6,
+    0x1e45df55, 0xb96c521d, 0xeb02f595, 0xca68679f, 0x6f8cfc8e, 0x88d4f1ca, 0x39b0cafd, 0x5c150ee5,
+    0xe446cd50, 0xc2fcaec9, 0xc52081b0, 0xde010225, 0xdc1cb342, 0x524a8e1b, 0x5747703f, 0xa751f31d,
+    0x5a726e49, 0x67950573, 0x74ab2cdf, 0xc86b6ee3, 0x322b7770, 0xcb9ac25a, 0x59e1e107, 0xaa1aa3f8,
+    0x73e2c69d, 0xb59d09cd, 0x4c957669, 0xa7d26346, 0x292c5678, 0xaeb183d3, 0x94a822ea, 0xfc7e1031,
+    0xbbd6b022, 0xa85db779, 0xc78f37f5, 0xeee1d4d1, 0x412b708a, 0x5865ffc6, 0x7e016cc5, 0xfac27731,
+    0x64be7b90, 0x9df4861e, 0x0bdf27bd, 0x5f6e1eca, 0xcb3e8779, 0x11cd7c9a, 0x511d9b56, 0x64a5dc6b,
+    0xabe293b5, 0xd93f92a2, 0xc63deab6, 0xe5a3d278, 0x256d1ca9, 0x744ad568, 0x252dba4b, 0xc2ebc9dc,
+    0x9c00da86, 0x3f691b86, 0xfc12c5cf, 0x46eb6ad4, 0xd1b17302, 0xc7e9ea13, 0x17d2df4a, 0xb85ddf3f,
+    0x99c84c51, 0x66a44944, 0x57f7b856, 0x103f1df4, 0x1a5b00c8, 0x617379d6, 0xda20c102, 0xe5d2e83e,
+    0x35729ef4, 0x94c0da82, 0xde65f007, 0x35db0f1d, 0xe1ce6fdf, 0xebb0af44, 0xa68630ec, 0xdc0e5827,
+    0xbe194b98, 0x7f446bac, 0x0d14d424, 0xc41b6040, 0xa6edec5f, 0xe2076588, 0x2d657cbc, 0x04dce9e4,
+    0x8f8ec892, 0x5122d291, 0x7b628e11, 0xfbc8fdb8, 0x48a85eae, 0x36cb9347, 0x01f3ffda, 0x80dfee9e,
+    0xe5fece1d, 0xa2a64b87, 0xc9a9d3c2, 0xd2795d56, 0xaba343ef, 0x41838e83, 0xb7473537, 0x658d2f22,
+    0x0b30c89a, 0x7c86addf, 0x6afc1339, 0x036e15db, 0x55ecb8bf, 0xe86ea00a, 0xcb424d0f, 0xa28f6343,
+    0x6095dd18, 0xd8a4f03e, 0xe9beebe2, 0xf8549e27, 0x12cffdf0, 0x2776d630, 0x02827fd0, 0x0889288e,
+    0xb491d506, 0xe3cb5f2d, 0x8e3ed4d6, 0xd2a216cd, 0xf97dbb28, 0x9d16f2e9, 0xe1a24d32, 0xd7c4e82c,
+    0x0a683d49, 0x26de1185, 0xbd7f14fd, 0xfc46139e, 0x515cc3db, 0x932cdbb3, 0x6d7224dc, 0x34662053,
+    0x91819954, 0x1c938dc8, 0xc89a3375, 0xe12f7276, 0x006bb6c2, 0x163ab093, 0x39a02f79, 0x7bf0fbb8,
+    0x4f627755, 0x85bbbc58, 0x52b2c658, 0x24b6a12d, 0x39617110, 0xcfdb3502, 0x9b694e76, 0xc22ab1c0,
+    0x2826610c, 0xb5069e61, 0x66b7f6d1, 0xb85cc1c1, 0x96fa2fb0, 0x1db5e083, 0x6f50be5e, 0x3472f6d9,
+    0x2c60b1fe, 0xdd83923d, 0x2dfd6682, 0xb682dc35, 0x008af6be, 0xf0ade075, 0x47ed2a96, 0x1085a177,
+    0xba18330c, 0x22156156, 0x11e3f19f, 0x7eb437a7, 0x09e53e51, 0xe1c39972, 0x93d646aa, 0x89b7ac4f,
+    0x13bddb04, 0x08c4a9d5, 0xe0de626c, 0xc0db0bff, 0x758fdcbb, 0x3caaefa1, 0xd54dc762, 0xc28d4514,
+    0xa7f75975, 0x5422e085, 0x69696a78, 0x8a65fa98, 0xed149857, 0x1f5c4201, 0x923a0944, 0xc12ba01d,
+    0x85c4e13a, 0x5941693f, 0x70977dfd, 0xdb8ab2e5, 0xb49b4980, 0xd590f3d9, 0xb5e34857, 0x2409bcf8,
+    0x46581120, 0xe8fd6550, 0xb21fc8d4, 0x88f01f0d, 0x925b7199, 0xb6a978c0, 0x433a7eb1, 0x8c67768d,
+    0x573d1dcf, 0xd00e691d, 0x997b00a5, 0xba1354a3, 0x99c2d790, 0xbab3c581, 0x0ff5c119, 0x14f95ce2,
+    0x221e602c, 0xacf032ed, 0x51695aab, 0xbece44e1, 0xfb7409cf, 0xae85cc74, 0xea3aa810, 0x6ef78b29,
+    0x36b9fb26, 0x66c59739, 0x61aea032, 0x80724fe6, 0xfc05a9b0, 0x003169a9, 0xf077ae08, 0x09906f80,
+    0x12f0cd23, 0x52ddd30b, 0xbb4d59dd, 0x6b980b25, 0xeaca113a, 0x3e85c482, 0xa34838e9, 0x8ccb6bca,
+    0x00758762, 0x39023d6c, 0x81650bd3, 0x3c3991ce, 0x641c3936, 0x25611631, 0xc68fbaa3, 0x5846767a,
+    0x8f4a3b51, 0xd89aae85, 0x38b80dd2, 0xf280b240, 0x43937016, 0x746ed3cd, 0x06f1a563, 0x2951f0cc,
+    0x0a515a8c, 0x84e3007a, 0xf87d98b2, 0x21da4482, 0xdee68c14, 0xca49fe0f, 0xf22a16ca, 0x5946bfb4,
+    0xf9f8d0d4, 0x111ece70, 0x5b445084, 0x09ae57bb, 0xd9359c65, 0x51893c2e, 0x65ee817d, 0xdd7a250f,
+    0xf5cd4ab5, 0x63bc8422, 0xb6a75d54, 0x470cb934, 0xeff6488d, 0x75bec2a5, 0xac1fe5b4, 0x786c3f3a,
+    0x37fae090, 0x691eec11, 0xbe935a09, 0x1f8f1bd5, 0xf63b3408, 0x1d0cebf4, 0x80c5df80, 0x53619578,
+    0x1b63ba28, 0xd19fdcc1, 0xcbd643ed, 0xea8ce115, 0x7fbf6d66, 0x8ee25015, 0x9b28d672, 0xfeb307ce,
+    0x2c3f0aef, 0xaa049ab3, 0x10842599, 0x962669c3, 0x4ee0e7a6, 0x304bec27, 0x4b5ad46f, 0x5c4d328b,
+    0x3110caa0, 0xe5edc072, 0x0a7fcde5, 0xfc2abfff, 0x30a6226c, 0xd78a0f8f, 0x45a566cc, 0x5dd3baf5,
+    0xcb8d1fff, 0x48b24f29, 0x9fc0cee4, 0x6c3fd3f3, 0x10955e6b, 0xe7381661, 0x07ffaab3, 0x276a3ce6,
+    0xdacdb326, 0x130babac, 0xc43e71ae, 0xa4594bf1, 0xd6d8301e, 0xa1f88df0, 0xc00995af, 0xf2a0f6b0,
+    0xab16d2f3, 0x658c3d7b, 0x7d4df30f, 0x4c768386, 0xe94b3383, 0x1e82eac1, 0x8f6db059, 0xbaf37bbc,
+    0x04264f59, 0x2d2166bf, 0x27af5f03, 0x56b303c3, 0x23cbf406, 0xfc551149, 0x142f47ba, 0xae060150,
+    0x481f9d83, 0x8b71bf99, 0x0a834f4a, 0xae1231e0, 0xaba05a5d, 0x542feff3, 0xf5f9394a, 0x01dac69f,
+    0x60f04214, 0x8fb962a1, 0x4e06d67c, 0x3513ae4a, 0xf37195a6, 0x9e2799e5, 0x7aad6b43, 0x2c4cec0c,
+    0xb3549656, 0xd2f780cf, 0x289f598d, 0x94d2ef90, 0x7e6ecf64, 0x5ddc2570, 0x5e37c7cc, 0x46abd6bc,
+    0x9af19890, 0x6883bd4a, 0x39a065fa, 0xaa92bc18, 0xec543a6c, 0x41f9b2dd, 0x9fa393e6, 0xb77e5df2,
+    0xd2593cf8, 0xdf123ac0, 0x6adfce98, 0xe2d803be, 0x7c46345f, 0x6a294e60, 0xf4fa7aaa, 0x1db43e31,
+    0x481ed232, 0xb6320c14, 0x77386042, 0x56ab08c2, 0xafb4a1bd, 0x6db8ebd2, 0xe0a038b9, 0x84288f99,
+    0x6922e7ce, 0x424a0e61, 0xcaa219fc, 0x85d33929, 0xfa673163, 0x2867b0a7, 0x64ad8254, 0xdbe6450a,
+    0x42927112, 0xcee278a3, 0x04c1fc5e, 0x0f4b7fcf, 0x9adc6634, 0xe6134277, 0x652e914d, 0xcc961dcd,
+    0xd16de0c8, 0xd39fa74e, 0xc9002b9f, 0x8a53ad74, 0x098d6061, 0x1f509928, 0x45de9884, 0xf6a934e6,
+    0xca54a7d8, 0x3265b17c, 0x38dbf476, 0xaeaa2d3f, 0x28b3556d, 0x8d2f4b77, 0x7968c080, 0xfd490e4c,
+    0x114c21a0, 0x82151cdf, 0xa74f1e1c, 0xb371eb8b, 0x70d22290, 0x60dfd942, 0xf16b6587, 0xc74d0644,
+    0xe4a84676, 0xaa68f63c, 0xd6cb9dfd, 0x6cc06248, 0xcf39fda5, 0x0f531123, 0x04ffbca6, 0x73e254fa,
+    0x2dbf574f, 0x9b239570, 0x2f45cf48, 0x9b495caf, 0x076997e6, 0x49e5baca, 0xd59038a7, 0xbacf4cd3,
+    0x6611fdb2, 0x531bfaf5, 0x2f9f9ce9, 0x8dcf8742, 0x9b4a7ef2, 0x148bf4d5, 0xde3d6ef3, 0x4fff6cac,
+    0x662207da, 0x6f84f1e2, 0x8f871fac, 0x2587df72, 0xe9fef8f9, 0x4fb41acc, 0x1667e3af, 0x751cd5d5,
+    0x09e2b1eb, 0x8e6496a3, 0xc07099b7, 0xed4708c8, 0xe3139c12, 0xdc282759, 0x0fe55200, 0x2d4c8f97,
+    0xd3acbf99, 0x46719f3a, 0x265806d8, 0x2671e1f7, 0xb51274c1, 0x267bc952, 0xfa884149, 0x4db5293c,
+    0x7fd61702, 0xade787fa, 0xc9def712, 0xac6c6e8e, 0xc80e0f3b, 0x2e428280, 0x078d6868, 0x358b1b5e,
+    0xe8e717c7, 0x77f4a893, 0x23d9461c, 0xddf45a6f, 0xad16186d, 0xb3ad1d7f, 0xb14512e6, 0x3ed4d8c9,
+    0x8b8e48c6, 0x49694ee7, 0xbb1952d7, 0xac420d18, 0x22aa3e72, 0x33a34153, 0xe8e83607, 0x6e45a732,
+    0x41fbd66a, 0x0d014f8a, 0x98ad3094, 0x23ed6adc, 0x96b7d80c, 0xffcaf3f2, 0xbc9e74da, 0xfe39b46f,
+    0x3c86ab4d, 0xcefaddc2, 0x1009965e, 0x26614ada, 0xd453e481, 0x90c938d0, 0x05a0416a, 0xc8a17f5c,
+    0x7274568a, 0xbae10cea, 0x0255b0cc, 0xa59404c0, 0xab402cfb, 0x8ae84e29, 0x8cd7d791, 0x1e54c834,
+    0x29d7a279, 0x8de8a79f, 0x4170fda9, 0xbb841c12, 0x2164e020, 0x9cf5635e, 0xc8bc3a45, 0x54c53f64,
+    0x673ebd55, 0x7c6dd5dc, 0x426debe7, 0x07724859, 0xfc326a3c, 0x05183f01, 0xfd4f08f3, 0xd0fcedb6,
+    0x2411d250, 0x79265e28, 0x51888aa0, 0x54dcd7fb, 0xcca8b1cb, 0xb0935c4c, 0x04ca4442, 0xf2f987e0,
+    0x80e4f4f9, 0x4445dbea, 0xcdcf0107, 0x2a5b572c, 0xa6ec1ccc, 0x2c9051a3, 0x562ec1a4, 0xc482ec78,
+    0x4d80a728, 0x56b3c4fc, 0xd54f8f06, 0x2b3deb87, 0x7b8ed03b, 0x3abcd23d, 0x7c4f5417, 0x6348203a,
+    0x3790a5f6, 0x3130f737, 0x91e56dfd, 0xb2cfaa84, 0x7cb94e90, 0xd4fc3163, 0x43d04619, 0x804cbe9f,
+    0x61469d13, 0xe2910804, 0x4f1eb5da, 0x77d087a7, 0x1bacaee4, 0x5294f248, 0x56ba3ae3, 0xbf460dda,
+    0x57532c8e, 0x927e921c, 0x4b34a348, 0xf7a1eda3, 0xe62b3b59, 0xb4e7fbd9, 0x0742221c, 0xb209d366,
+    0xce4a1e77, 0x31f66b51, 0xfd4a4752, 0x2631ddbd, 0x831dee31, 0x37a298a8, 0xb2074f10, 0xe1f010f0,
+    0x77db3d06, 0x225b6cc5, 0x271568d0, 0xd6fe71ce, 0xf0a824fd, 0x13a3f2c7, 0x8679aeaa, 0x9abeaffa,
+    0xafc2b6ed, 0xb03e704a, 0x68a415bd, 0x0ef1fc11, 0xca3c967d, 0x4f8359f6, 0x03d59506, 0xfd1dc00a,
+    0x968caf16, 0x1a62aa94, 0x940f0d37, 0x1b8f6335, 0x44830877, 0x6796e927, 0x17a1ca16, 0x4430c608,
+    0x52485fda, 0x82ff0832, 0x9fa92f49, 0x62dff607, 0x7b968c70, 0xf9339456, 0xd46e0ed9, 0x9f86eb77,
+    0xa584ac29, 0xaef632e2, 0xe961465c, 0x03b46ca6, 0xcfa0af01, 0x46c1cd33, 0xe3b99ef3, 0x9d949389,
+    0x4be74c1f, 0x4d40aa8f, 0xb77cfc6d, 0x6b6ba3ed, 0x08a6ede6, 0x547e962d, 0x97fe6e5a, 0x2e0381f2,
+    0xf69d8efc, 0xedfd24b4, 0xadf31e5b, 0x804aa536, 0x46d1fbcb, 0x105c11ec, 0x2cc65cf9, 0x62c0658d,
+    0x65733e2f, 0x54276039, 0x3c9b9277, 0x535b8522, 0x2daae9b9, 0x818b8e03, 0x5b46a36e, 0xeff6e1cd,
+    0xa9bfd8ce, 0x2edbae3e, 0xa84e6a01, 0xc675701b, 0xc111ee33, 0x8c745e35, 0x755c25ba, 0xe455e17d,
+    0x84f558cc, 0xd828b514, 0xa8498ddc, 0x9a97b83d, 0x3ff16283, 0xb5087f75, 0xb6a6b7e4, 0xaf826bb6,
+    0x0810fbd0, 0x7ad58fee, 0x9cec52d8, 0xc187a73e, 0xa0bfa366, 0xe7491f47, 0x723667b0, 0x23929e85,
+    0x71a69d1d, 0x2918e4ae, 0x60eef40e, 0x8d175ae0, 0x7e4c0cdd, 0x59433b50, 0xd0705abe, 0x061093aa,
+    0x5c30ef42, 0x6c7da566, 0xca42a040, 0xc0097091, 0xb88e4c0c, 0xd4d2d3a6, 0x008311c8, 0xf6cf2e4d,
+    0xbdf08619, 0x3d358b7f, 0x9bdc1199, 0xe6ad9399, 0x5a58f5ba, 0x5de34cde, 0x97be362c, 0x2adf5be9,
+    0x7511db06, 0x2d3d78ed, 0x6bf9920d, 0x34e3b525, 0x214ec1db, 0x8ebdbd89, 0x48daee92, 0xe36f578e,
+    0x18c05dfe, 0x71ec3843, 0xe27ad78e, 0x879ca107, 0x612fad3f, 0x2e11c595, 0xcefad9a6, 0xad274aaa,
+    0xaeda6479, 0x14138cd6, 0x038c4bde, 0x672510af, 0x5f7be583, 0x55e1bc64, 0xc9d53d39, 0xdf4db567,
+    0x77747ee7, 0x10304033, 0x4279eaf4, 0x2c36777c, 0x88afb439, 0x83c1ab60, 0x06806510, 0xa76f96ee,
+    0x233601d9, 0x1130f420, 0x63ad9891, 0x56a9e0a2, 0xc4295ceb, 0xdb308aa3, 0x296a01ad, 0x42148ed6,
+    0x2d00ad70, 0xc49a7123, 0xa861455a, 0x85b10af4, 0x4c0482f8, 0xe6071f58, 0xbf611bc9, 0xb8e8b321,
+    0x9f61e75c, 0x2d39ce2b, 0xfb4876ba, 0xa484a332, 0x9cf130d5, 0x4ba8dfa6, 0x8bc12f24, 0x316a9efd,
+    0xd1872be0, 0x79ecf7eb, 0xb214c2d0, 0xfe491751, 0xfcd85881, 0x03459768, 0x61795b36, 0x1589826e,
+    0x7cee267b, 0x3bfed3fe, 0x6880368f, 0xd62d704b, 0x3086623a, 0xbcf8cb64, 0x5f0b6ed1, 0x28719c6a,
+    0x24fc92fe, 0x455b5326, 0x63814083, 0xad579f8c, 0x657b16e8, 0x4aae8179, 0xac890d19, 0xf058d17e,
+    0xce5239ea, 0xeb669524, 0x78de85e8, 0xd1968a7e, 0x47ac3af3, 0x60418a64, 0x96eba9b5, 0xf470fde0,
+    0x7462660b, 0x296402e7, 0xea03f3cc, 0x81756ee1, 0xcfa140a2, 0x28e40b34, 0xa626b72f, 0x60eed5c7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000696898287454081973172991196020261297061888 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4da, 0xfdb4cd95,
+    0x00000000,
+    0xda6cceeb, 0x853af2b3, 0xfc33f63f, 0xff573a64, 0x2a9996bf, 0x1f8486ce, 0xaeaf71ea, 0x1d235270,
+    0x44af66b8, 0xbafe6c30, 0xd4ce245f, 0xc64fa45c, 0xd5d0cc17, 0x902ad2ae, 0x67c84f73, 0x60ff983e,
+    0x29bdb497, 0x95b00554, 0xf59fe1d4, 0xc1bb9f8b, 0x06525b7f, 0xfff2acd9, 0x16b1b177, 0xe9905a18,
+    0x94a0ce6b, 0xdbddf3d1, 0x169a65c2, 0x39012df9, 0x79ccee26, 0x6cfdc3a1, 0x5a51ff3b, 0x1d318978,
+    0x96982395, 0x4c8e3a9b, 0xf82b9685, 0x34a80ea1, 0xdfb5d3e5, 0xda93c667, 0xd4643539, 0x47abebde,
+    0x85f2b3f3, 0xe346a40f, 0xe30f6def, 0x5a10fe13, 0xaf4f0004, 0xeff5f374, 0xaefd87c9, 0xa8b67e97,
+    0x9ee575dc, 0x91683e51, 0x3d9d083b, 0xcf7a6c55, 0x5e181dbf, 0x6b874e89, 0x93be92a3, 0x25c61e61,
+    0x14fa9cb2, 0xc2d2a61a, 0xd9cc1093, 0x4e909549, 0x82e413cc, 0x792cae92, 0x839a77d4, 0xf17200b0,
+    0x9602881c, 0xa1535214, 0x3da434fe, 0x5e02f06a, 0xbf81923a, 0x025e9297, 0xd66b5700, 0x90042125,
+    0xdf48dc8c, 0x850ef299, 0x044deb60, 0x8101c9a2, 0x59a041f2, 0xd9253df9, 0x3c1853f6, 0x03d3ad96,
+    0x07da3726, 0x108c7d1a, 0xf6ce6c79, 0x214c34b8, 0x8ea07794, 0x33baa99a, 0x956b2215, 0xe88b8ef7,
+    0x789bad8e, 0xbac31ff3, 0x04bcf2db, 0x9dc23e56, 0xce8c1cef, 0x6fc8d733, 0x3b006a56, 0x21d5167e,
+    0x5441c4d5, 0x209f2ee3, 0x9162d572, 0x00a38e79, 0x9925c317, 0x768bd9df, 0xb542d24f, 0xa4abaa45,
+    0x1726472e, 0xcf23ccd4, 0x7f090014, 0x076dfa32, 0xc752aab3, 0xa680620f, 0xe36a6ac1, 0x31484b31,
+    0x355803c4, 0x416c1a14, 0x721201cc, 0x5b639697, 0x6cd3c101, 0x6efa6515, 0x4548dba9, 0x18757b70,
+    0xd891c9e3, 0x491ee198, 0x8d5ef89d, 0xe3663c8c, 0x351548c8, 0x8f64d04e, 0xd1ba88be, 0xf598f756,
+    0x3e12c89e, 0xd330d07e, 0x71553aae, 0x9f234ce9, 0x908f1a42, 0x10495bb2, 0x6af8d8cd, 0x3d0cc70e,
+    0xa1e22127, 0x926ee521, 0x2e45d6d5, 0x4a927f6e, 0xa1adbc51, 0xb05a6151, 0xd3f908ee, 0xd3541e92,
+    0xe6576670, 0x2e7af7e1, 0x3f701718, 0xf887c7fc, 0x2d75fda6, 0x9e4c6135, 0x48df17d1, 0x6b8e9f05,
+    0x95a36644, 0xe97d6f75, 0x92e38a1f, 0x5fc7b50a, 0x6605658b, 0xf8f4e514, 0xe4e31821, 0xf8430d44,
+    0xe2c718da, 0xbada5b92, 0x84e4223e, 0x29109667, 0xe6a6b1cd, 0x6bd6ffb0, 0x4ce2f06d, 0xe272e2be,
+    0xb5872040, 0xf6a7ccfb, 0xde918fec, 0xb7e6c0ac, 0x4e45eafa, 0xfee42532, 0x6a93160a, 0xbac801a4,
+    0x5ff35344, 0x18834dfa, 0xf6642c03, 0xe82eaa19, 0xfebad09b, 0xe17eb4b3, 0x452a18a7, 0x7f4d1a5f,
+    0x225f2496, 0x34a94d5d, 0x3ee9e085, 0x7227829d, 0xbe253a98, 0xe259c29b, 0x4cfdae15, 0x1fab81f5,
+    0x6790e1e7, 0xb26f0fd9, 0xb524981d, 0xb2e5b8ce, 0x2b16f1e4, 0x41fc55dd, 0x4806f23e, 0xf9ae0a28,
+    0x1f25567d, 0xf6a9f1ff, 0xdfc96c91, 0xe1fb9ae3, 0xaddff2ea, 0xb39a7953, 0x4068b832, 0x7a4754c1,
+    0x15bfee34, 0xd9ee2eb4, 0x085603cf, 0x83ddd6b6, 0xdd2b179a, 0xf648db32, 0x4db6f43f, 0xb760af0c,
+    0x4d1e96a0, 0x79352ddf, 0x076d1f2d, 0x571067de, 0xfc6195db, 0x92498baf, 0x8b798e4d, 0x1ca11869,
+    0x9585e047, 0x65ace1bf, 0x955f4a91, 0xb567bfe1, 0xf3307877, 0x4f6260f3, 0x02ef54c6, 0x1266512f,
+    0xa1ba2631, 0x590f9c12, 0x6551948c, 0xc81c1790, 0x6dacf601, 0x55fea7b9, 0x7709f17a, 0xe33999c1,
+    0x423fb9ca, 0x3acf5c1e, 0x3f354b72, 0x9d25c747, 0xc1243b97, 0xff4a2599, 0xbe8d694a, 0x5bbbef3b,
+    0x5a31a98f, 0x6c977437, 0x342a7d25, 0x73f72766, 0xa67f5b08, 0x818bf647, 0x1413532d, 0x1ee4a1bf,
+    0x30e6f862, 0xd7c3abfd, 0xa6371c6b, 0x6ea0a0b7, 0x2a811713, 0x31f26f47, 0x066c33f5, 0x1e698353,
+    0xd3d6d004, 0x0e4c1ee8, 0x60d39b28, 0x52384f52, 0x9a5c387f, 0x2f1a07c9, 0x87dbf1f9, 0x74530f90,
+    0x9d1bbe71, 0x647d2cb1, 0x8815c424, 0xf2305171, 0x51338781, 0xca2577c7, 0x8727a45c, 0x4946c8f6,
+    0xd26ed83a, 0x57072ec8, 0x22390d26, 0xe5f96333, 0x6fa3d367, 0x839275a1, 0x8c211a1d, 0xcf32ce28,
+    0x3d724c61, 0x39b8f24c, 0x14d9f7bc, 0x63a6484a, 0x33cdf6f2, 0x27a41ff9, 0x5deeae35, 0x0de7f36b,
+    0x7c494395, 0xb356d085, 0xfed3d5fd, 0x8de2d4bf, 0x72dd8970, 0xcd51f3ad, 0x2cce4d14, 0x72e1c012,
+    0x14990e3c, 0x983a8f24, 0x8862dd04, 0x45c1932a, 0x3863cbfd, 0xf2af3ad6, 0xf4e572e9, 0xeab57517,
+    0xf65a05c7, 0xfefc89f9, 0x5d2eb2e0, 0x9985f850, 0x53d06508, 0x7e753057, 0x0ce79afa, 0x285608fc,
+    0xec958593, 0x46b71617, 0xd8c423d0, 0xbbf313a8, 0xcd3509b6, 0x73f0cb88, 0xb1dfe02b, 0x9fd4cba3,
+    0x325c94dc, 0xea676b09, 0x3fa27da1, 0xa20ac986, 0x4a07e6a6, 0x2fdbc86d, 0x4c7c3f81, 0x5291250e,
+    0x28926734, 0x3fa95c2e, 0x8eb452a7, 0x7a3c3760, 0xd1f38cf4, 0xa8067cf4, 0x1b2ef24c, 0xf56aba66,
+    0xe05975af, 0x0a5ac9b9, 0x2bb55333, 0x11516088, 0x7ef6f0c3, 0xd93f9af3, 0x0ad289df, 0xf039906a,
+    0x050e47c8, 0x44e713e0, 0x83d25b89, 0x4368a92e, 0x14c50297, 0x740e6347, 0x45e569bc, 0x52eeddb7,
+    0x4f9d31d8, 0x4bcf16e0, 0x3f3a5a66, 0x87359aed, 0x982be0d5, 0xd8c36d4f, 0x98d019a2, 0xa49f059c,
+    0x4bcfa4fd, 0x28554013, 0x6eba5380, 0x00c64e2a, 0x01cc0ee2, 0x853ad723, 0x7bd49895, 0x40d93882,
+    0xaa9d4f0f, 0x2d9531dc, 0x621664cb, 0xa1bbc4cb, 0xeb35a27f, 0x45b7ba71, 0x07956532, 0xe427a6db,
+    0xf4c4c657, 0x80011bce, 0xe930e371, 0xe4740d74, 0x9fd9d78e, 0x96869226, 0x730df589, 0x406017e2,
+    0x6676a900, 0xa5149f0c, 0xa5fc3920, 0x2152c264, 0x306f3fc9, 0xb9f0f350, 0x0bc70530, 0x15c98209,
+    0x9f1ece02, 0xc04f88d8, 0xc9fece51, 0x81d24594, 0x9acefb2e, 0x182dfc15, 0x96f81f45, 0x752dfa56,
+    0x025e277e, 0xc2492c18, 0x539c64d4, 0x06096f8d, 0xe5216d41, 0x7059e171, 0xfc6e8c52, 0x5e8d32b5,
+    0x7fffe9b7, 0xe6871dac, 0x7f63530c, 0x348372e4, 0x95d22f43, 0x84d19873, 0xce831013, 0xb322006c,
+    0x5d1d1e73, 0xb90f8ba0, 0xa98e03a5, 0x56527a89, 0x7574c327, 0xbb971914, 0xb7fa86da, 0xe831b368,
+    0x928cae0c, 0x58d46b93, 0xc927924d, 0xb25625f9, 0x0299f6d6, 0xb66d15af, 0x6f8504f9, 0xc013452f,
+    0x10f6a869, 0xb1668b9b, 0x1589c6d2, 0x657c60ac, 0x3019eaab, 0x1c03b757, 0xd0711279, 0xa0163c53,
+    0xca037c23, 0xe451296e, 0x3e81a2c2, 0x7bead78c, 0xf2c747b6, 0xcdda7296, 0xfa820998, 0xc30920b4,
+    0x4cf6f419, 0x617ba167, 0xe604b105, 0x83e4388f, 0xe58c8043, 0x98144992, 0x2dc9a85f, 0x0602fc19,
+    0xb31d759e, 0x13fdf297, 0x671608e3, 0x722185c8, 0xbc104c2f, 0xd36aade3, 0x88e6fca8, 0xbcfed5ef,
+    0x545ed23f, 0xebda6b93, 0x21fe8ec2, 0xaf6ad936, 0x32adda31, 0xe6223905, 0xff672f3c, 0xbd71eb26,
+    0x4f47e8a8, 0x14a73c54, 0xa21b95b1, 0x7236eb88, 0xaa3f10eb, 0x323ffa73, 0x1261cf6b, 0x2ecebd0c,
+    0xfeec5bf1, 0xca5f1dec, 0x49241eb6, 0x7508f611, 0xd4b05726, 0xba66dd46, 0x2834917d, 0xba067139,
+    0xd2aad294, 0x2f5c155f, 0x689220e9, 0x13972788, 0xf9e9a699, 0x317ba420, 0xf1fbee29, 0x25c606ac,
+    0xa4d64b73, 0xd5afed00, 0x701b5737, 0x21d29ee5, 0xf23e7934, 0x3fe7fa27, 0xc085eddf, 0xa8d2859d,
+    0x0bb3ed05, 0x1d411dc9, 0x6a7a729e, 0x238955e1, 0x8170718d, 0x86738ddc, 0xf5bd3a63, 0x76edcbf9,
+    0xcdf7c811, 0x694fdd51, 0x364ff3bc, 0xf67d0b38, 0x982f34a8, 0xdb060366, 0x5f667be3, 0xe620ee58,
+    0xf955198a, 0x20e727cd, 0xd0c49740, 0x53533398, 0x1cb53711, 0x84559560, 0x6a7e2630, 0xa17b268a,
+    0x5efe9ae8, 0xc0c7a6c7, 0x747541f6, 0x48446920, 0x646a8e5e, 0x174500fb, 0xf222b971, 0x27dcc9ee,
+    0x6ff8cf1e, 0x8d253586, 0x9c0c9677, 0xa31de84a, 0x09d52ac5, 0xcdb92f0e, 0xcce58496, 0xa09cbd19,
+    0x250c2f70, 0xce69aba1, 0xd47418bd, 0x5e182991, 0x84bedd2a, 0xb0e07319, 0xdb7ac32f, 0x7e4fdcb3,
+    0xa568402d, 0x94018358, 0xf7d91442, 0xff25c0d4, 0xc63988ef, 0x31fe463c, 0x08baa49c, 0x19154905,
+    0xaf9dceb3, 0x529e8fa7, 0xdeaf9d20, 0xc15b17eb, 0x69cf8ac3, 0x88621d53, 0xe3854a05, 0xdfa246fa,
+    0x1656fcb9, 0xd53eada9, 0x5848fdbe, 0xeda95311, 0x2f84c841, 0x451f7bae, 0xdee22fe0, 0x200c0d3f,
+    0xc8e86330, 0x74dea2de, 0x073581ab, 0x00abed16, 0x057962c7, 0xb2f5e85c, 0xd5645426, 0xf3fd7b6d,
+    0x10943287, 0x240da6e3, 0x6a81dd78, 0x00164ba7, 0x7e3c468e, 0x8bb008f1, 0xd73da0f6, 0x0a24ad54,
+    0x254d49a7, 0xf74ea7ec, 0xb74fd034, 0x9849cb8f, 0xbe3ffc18, 0xa3407d0c, 0x3716cd29, 0x93811e31,
+    0x514847df, 0xf052cd18, 0xaba0c203, 0x12d7ca6e, 0x1cb27419, 0x726e998a, 0x3da450e8, 0xea534f88,
+    0xc86c2138, 0x756f9e04, 0x48e26ecd, 0xd4646547, 0xdb39b19e, 0xdf54365f, 0xef6c0151, 0x70247592,
+    0x99dd1550, 0x368032a8, 0x1a6322e8, 0xc6b3b951, 0xd80b5f32, 0x1f513c78, 0x74ae2385, 0x02fc0e38,
+    0xc45f6efe, 0x10225c6e, 0x44161363, 0xa5addc6e, 0x3f88d933, 0x4e9c3174, 0x873b09fb, 0x92d97ce3,
+    0x4900aba0, 0xa64e0179, 0x43581223, 0x24ebcf4f, 0x84c49c85, 0x43fc5b9a, 0xb4f96ffe, 0xa639bd26,
+    0x8cea687e, 0x41d3ea3f, 0xcc0491cc, 0xbe5cf420, 0x070ae2eb, 0x47ed43d9, 0x4a4ee2b9, 0x5bbf970f,
+    0x493fd870, 0x35012e73, 0x8d7e5581, 0x408ca6d9, 0xac16d8f6, 0xdad98036, 0x31e96fc3, 0xe235a8d3,
+    0x1bbf2721, 0x3172a32e, 0xb1171347, 0xe3917fcd, 0xaa53ff46, 0xf7e5e881, 0xdb0a38f3, 0x9ee697d4,
+    0xef99490b, 0x89f84f8b, 0xd53e091a, 0x00a832e4, 0x86cca1a5, 0x7655a6ea, 0x2f902763, 0x0ef232da,
+    0x487d7b8e, 0xe20025d2, 0x20ee2a80, 0x2972a3ce, 0xcffe6ee1, 0xc006b832, 0xafe21b05, 0x8b7eaf2e,
+    0x7d26c075, 0xddfe96c1, 0x977dc427, 0x80a1e167, 0x6761be1b, 0xb1f19442, 0x0ad37b92, 0xaf718067,
+    0x8271976c, 0xb5be5d4d, 0x58cadb69, 0x7ac8b919, 0x93c36093, 0xacaba1e7, 0x6f897974, 0xe47db2f5,
+    0x34fe5fed, 0x8f2c4dde, 0xa3e57f78, 0xad7436d1, 0x16dc185d, 0x71633f84, 0x7866defc, 0x869d93e5,
+    0xb0ec5879, 0xc6191918, 0xfed6f190, 0x204df9bc, 0xc27d649b, 0xb367e0bf, 0x80919286, 0x7461723d,
+    0x173d73fc, 0xdeb25302, 0xa486af5e, 0xfcffc809, 0x95c46256, 0x9ab529c8, 0x696987c0, 0x7000610b,
+    0xa936c3ce, 0x8442cb10, 0x4beeae5c, 0xe57b6f43, 0x4b1471d7, 0x076ee7da, 0x6191b6d3, 0xc81bca0b,
+    0x2cb40a81, 0x1359c50e, 0xafec4457, 0xd37dfddb, 0x165cbc11, 0xae5c49d4, 0x0556f8c1, 0x780ea572,
+    0x80635aea, 0x3bcd2112, 0x1b35d083, 0x4a33c120, 0x7adb4c47, 0x5f4dcb56, 0x7a239da6, 0x275d963f,
+    0xc88b8774, 0x51e85682, 0xeb2d33ab, 0xe3933830, 0x24c7430f, 0xf6cd5691, 0xa2e550f3, 0xce4aeb87,
+    0x468df0c0, 0x7b367bf5, 0xa55991d8, 0xac72ac3b, 0x1bd577ac, 0xa758553d, 0x0118257a, 0xfc795254,
+    0x444680b5, 0xfe256e3d, 0xe0e3eff6, 0xd256c54d, 0xf788a7dc, 0x4cf9e505, 0xdd1297c9, 0x51f694cb,
+    0x46f7b815, 0x7920f129, 0xd8cc9947, 0x6a05cf9b, 0xfed9dfdf, 0x2cb4f1c8, 0xb11b861e, 0xfa9ac256,
+    0x50c2e3b7, 0x84f2c0d9, 0x0b6a041d, 0xdc816992, 0xa70f6814, 0x15ca9bff, 0x13dce0ec, 0xe433b70a,
+    0xef0197e3, 0x6850abfe, 0x60513de3, 0x241439da, 0x316c04b7, 0x00643e1e, 0x053aa556, 0x63a1c8a0,
+    0xed798a14, 0xba607672, 0x7279674b, 0x9a51a28b, 0xd9be98d8, 0x8b14e076, 0x259b78d3, 0x82f1b0bc,
+    0xd9729ee9, 0x5489b221, 0x7a4ebdb5, 0xf89087cc, 0x76f5a6b2, 0x6251c354, 0x0d5a29e0, 0xb446150a,
+    0x55422f64, 0xd1da6dfa, 0x33712f83, 0xfc98c69e, 0x45db6938, 0x379cc3cb, 0x004a581f, 0xb340bf9b,
+    0x019b0795, 0x0464a8d9, 0xa85d9d80, 0xf780ffeb, 0x4cd4f502, 0xfcbfc36b, 0xe37a0fbb, 0x75bd41d2,
+    0x5cc30af9, 0x32c8535a, 0x2293f16d, 0x65ed6fef, 0xefa74f4e, 0x69e55de4, 0x8468b88e, 0xadbed1fa,
+    0x81e4e8c6, 0x92634a6d, 0xd3007b46, 0xcc1326c3, 0x9a1f207f, 0x10d930fc, 0x550d5f34, 0x42194fab,
+    0x963bd1c3, 0x14021d06, 0x60cc6ac2, 0x1d78ba19, 0xabbbb0e5, 0x54ed933b, 0x78d3390c, 0x0cf8bb2f,
+    0x37471fe9, 0xb011d6f7, 0xedd09420, 0x0fa2eeca, 0xd73c2cf7, 0x33a800c0, 0x7440f905, 0x7c300549,
+    0x49267ea4, 0x546d5092, 0xf84b21c3, 0x93f78be0, 0xeb58d38f, 0x7909cad7, 0x6c87679c, 0xee4e1561,
+    0xaa60d418, 0x910d320e, 0x4c291963, 0x0bdeba88, 0xdf62dddb, 0xe2331152, 0xa0a96b45, 0x28b56ece,
+    0xc56cad8a, 0xe6666513, 0x6e1dde92, 0x8aee03d4, 0xbb2bc3d2, 0x9849b0ca, 0x3b3e4d93, 0x5c380e03,
+    0x1ed82509, 0x7d509bcf, 0x4388d74b, 0xa99811ff, 0x8c75d987, 0x64eabd2b, 0x3c3991b8, 0x383a9ed6,
+    0xe8218a9f, 0x6cc9f387, 0x05fed624, 0xe384480b, 0x5fb68597, 0x9170c385, 0x35a20704, 0x9cf56b4b,
+    0xb9c145ab, 0xb0316000, 0x095cbe16, 0x534547cc, 0x6d03b7b2, 0xad0fe5c8, 0x8ab9caca, 0x73732367,
+    0x7e9ed7fa, 0x85014f8b, 0xa3148afe, 0xd073f4b1, 0x0932a54d, 0xb527e6ce, 0xc073721a, 0x94c15fd8,
+    0x1e926aa7, 0xd479f3bc, 0xd1a880e2, 0x77ff9235, 0xa018f44f, 0xd8b306a3, 0xb397c1de, 0x8594cb6d,
+    0x2d2657ee, 0x661200c7, 0x78d085f1, 0xb8c06f9d, 0xf59a89b1, 0x9f066975, 0x5994c641, 0x1e0d9d37,
+    0xd7a39653, 0xf8c2ff33, 0x30f23526, 0x127881b7, 0x50f63b2f, 0x6d8d4ddc, 0xd605c007, 0x36e2092a,
+    0x589a9b79, 0x998b5019, 0x59e00bb3, 0x16d55d58, 0xeb3d90d4, 0x09de264c, 0x8d4be089, 0x5403abb1,
+    0x00df1699, 0x74520d64, 0x6eb07fc0, 0x8e428db4, 0x27b92ebc, 0x9928ccc9, 0x4f154f60, 0x3e80bd27,
+    0x3e27b347, 0x4dec6586, 0xc8c352e9, 0x9337d741, 0x61ee7b75, 0xf5b49529, 0x8da4ae57, 0x38ee326a,
+    0x40a92be5, 0xd013fd53, 0xa5d32987, 0x64baf14e, 0x3a380041, 0xd0078b28, 0x12c2af3b, 0x39b7ea93,
+    0xc4ce57f8, 0xf04378ac, 0xecce3ac2, 0xfdf5317e, 0xffa9b6df, 0x6891dd8f, 0x172daf09, 0x16773c7d,
+    0x3fd47a53, 0xc588a942, 0xd673162a, 0x1774e247, 0x66104999, 0xeb23f2f7, 0x99cb34d7, 0xad0de0c1,
+    0x7bbe6a90, 0x7e204c58, 0x8f41be74, 0x1b0e366e, 0x03cd075f, 0x8fd797cf, 0xf9e757e9, 0xfeb81b5b,
+    0x826859c3, 0x5361030c, 0x9ccf66d0, 0x65821453, 0x3ada7f32, 0x917aa388, 0x7b23a47c, 0x96450d27,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000348449143727040986586495598010130648530944 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6d, 0x7eda66ca,
+    0x00000000,
+    0xa73529b6, 0x01e205f2, 0x8d51123f, 0xb9ff0535, 0xf758d427, 0x893bdc11, 0x0a671bdc, 0x96ec054d,
+    0xd0bb64ca, 0x598b58b2, 0x49cfcb4b, 0xb3d057f6, 0xc371af2b, 0xe5b9db12, 0xce6297ac, 0xf9901a64,
+    0xa47a546c, 0xf7250a2c, 0xf8809f2e, 0x9774defa, 0x412caafe, 0x0cf1a0b2, 0x9fa86312, 0x3275f021,
+    0x7c20f43e, 0xcd908633, 0x4131810d, 0x7379d166, 0x0f11f148, 0xd79c22e4, 0x8632e5ea, 0x28d5ee30,
+    0xa54c3139, 0xf3936bf7, 0xa39df95b, 0x6ac11f1f, 0x9d334f57, 0xbf40c561, 0x704c7ea7, 0x097e874e,
+    0x0577af52, 0x10087ac3, 0x65224fca, 0x8b019dc8, 0x6adbaa52, 0x895cf9fb, 0xbff7f269, 0x8449d765,
+    0x5dda8703, 0x1d7ff776, 0xf97d70c0, 0x7b8a77f9, 0xeae48f48, 0xfb4f023a, 0x91db41b1, 0x706b1444,
+    0x187e87ff, 0x46be6e35, 0x622c717c, 0x8c0f92ab, 0x004e737b, 0x115e68a1, 0x37b51ec2, 0x33e0a662,
+    0x45c8352c, 0x992d7932, 0xd46669a8, 0xe2a4a393, 0xb610f377, 0x2625ea21, 0x8e0133f6, 0x2776beb2,
+    0x2fe57c03, 0xdb1ec508, 0xea5cb674, 0xd4a12cda, 0x9df4355a, 0xbb4bfcbe, 0x19b741f7, 0xcc943a9a,
+    0x7a679938, 0xf161a3bf, 0x63fa0f30, 0xd7ba6640, 0x2db557d6, 0xf462a6ef, 0xdc895d96, 0x0ebc9506,
+    0xb8ab039b, 0xca42c219, 0x8cb28f8a, 0x153a1ad9, 0xfa5db4f5, 0xdda02039, 0xa64e8c0e, 0x8817eb21,
+    0xb9fff879, 0x4ae5a950, 0xc11a8f97, 0xa33ad771, 0x3f2b6094, 0x0628bdef, 0xacc5c3ef, 0x7bfdbddf,
+    0x48b84d49, 0xfac90563, 0xa17aa89e, 0x4d8e5fe7, 0xe28e7130, 0x6c78cc56, 0x02f59606, 0x79f147c5,
+    0x81439073, 0x6497dcbe, 0xb6391643, 0x3bb75990, 0x51e30a4c, 0xf446d6c2, 0x6e71b952, 0xf39364df,
+    0x002d2d8c, 0x8d24e8fc, 0x5f37b06d, 0x3c041c61, 0x9d082b31, 0x7054a1c3, 0x0803477b, 0xbaa03e78,
+    0x1b54df49, 0xc7480e34, 0x1ad6a73c, 0xd7bd41af, 0x0d56b877, 0xff6d45a0, 0xf6bf2e4c, 0xc7075566,
+    0xc174da65, 0xebb2906d, 0xb5fb920a, 0xbfb37e7a, 0x9cd6276b, 0xd2fa4caa, 0x487b8adb, 0x59e3197f,
+    0x7956c49c, 0x40c78234, 0x530c41e6, 0xb7e002dc, 0xde9275f8, 0xfeee96ea, 0x17afa3bd, 0x2aaf820c,
+    0xea66ffaf, 0xe9bf359d, 0x1eda39ab, 0x337fbbd6, 0xb0dda353, 0x3c5dec7f, 0x11d3411c, 0x10e2fb50,
+    0x075bfd47, 0xa8a1b610, 0x32639a3a, 0x7aefd430, 0x255958a3, 0x7e9efb3b, 0xc6f289cd, 0x8240e3e7,
+    0xa434ed92, 0x981b2ad9, 0xdafc98c4, 0x800efd92, 0x5964d78f, 0xd5a149a4, 0x30efc888, 0x258d737a,
+    0x1b538bbd, 0x0e94536e, 0x7d8e6401, 0xa59644ec, 0x39d30103, 0xde630b68, 0x9e44d540, 0x3e54a979,
+    0x7b68143c, 0x72cc6b45, 0x5995ecee, 0xaa8cf820, 0x1b36a474, 0xec3fa5c6, 0x8aed8344, 0xc84c3016,
+    0xcce980d1, 0x550e72dc, 0xadb41ecf, 0x96c457a4, 0x57d959b8, 0xcef3eea4, 0xa964c1f1, 0xa90bc34f,
+    0x3ac1d5fb, 0xd2a1a18e, 0x1eac725a, 0xdc294fb3, 0x1c2e9f7c, 0x9b53c3b3, 0x8a6f2b2a, 0xa0318c51,
+    0x9b2f6191, 0x65d67d1a, 0xde078cf7, 0x27d41ef7, 0xeae20052, 0x8e2115b8, 0xb9095c28, 0xe0ab7b2f,
+    0x940dcdd7, 0x6a86935f, 0x07c17b90, 0xb50cbe07, 0xbcaa0d77, 0x381c38d1, 0xe239fa09, 0xb6c26625,
+    0x3fd2c498, 0x106890e5, 0x8969d42b, 0xf581ebd9, 0xad513371, 0xb474c090, 0x0671a6e4, 0xfce29376,
+    0x7750f2e1, 0xe1ad5c48, 0x2d8ab876, 0x72b4d9e5, 0x36cfe5e0, 0xd171ceae, 0x725548d0, 0x52660370,
+    0x71c5393a, 0xe3cf4997, 0x58b84555, 0x72f03ed7, 0xea5ade03, 0x7565f17c, 0x542e62d2, 0x40ad0b8c,
+    0x426fe4d0, 0x19e41e14, 0xc674e9d2, 0xd4bf75c3, 0xbb67db33, 0x66dc7c39, 0x0055fb9c, 0x338f230b,
+    0xd81d7f30, 0xe9d9ab27, 0x44f2d2a9, 0x1c5550b4, 0x445f6911, 0x0de7c208, 0x7b3c3a1a, 0x5c5b1b1d,
+    0x93997d48, 0x09af651e, 0xc9b7523c, 0x094d24b6, 0x1985d651, 0x94b273f1, 0x9e51c51e, 0x66c53a43,
+    0xf9c2d3c6, 0x69133896, 0x2c220dc9, 0x96b6ecd1, 0x7e850f48, 0x6c8fd71b, 0x818f9fd2, 0xf456ca0c,
+    0x6425c273, 0x93fa6120, 0xab66a7c6, 0xc6ae7d08, 0x832d1fcf, 0x8f975d36, 0xc0040f09, 0x5dbcc370,
+    0x0413f7c1, 0x72953e71, 0x8650e522, 0xecc00620, 0x5c58b28e, 0xf2fbcd66, 0xc7eda333, 0x2a09f5c1,
+    0x20acc654, 0x1025ab27, 0x73474f4d, 0x7a0074fd, 0xce0921c7, 0x5785990e, 0xb81d5ec6, 0x0768a6cc,
+    0x5dfc736f, 0x1d5f8934, 0xdd1ab0c5, 0xec0a7bf8, 0xfab132a0, 0xe7935479, 0xed847c99, 0x6a5ff609,
+    0x488641f5, 0xd84e2704, 0x068cc2d0, 0xaad56517, 0x8a56a3db, 0x63d9871b, 0x8c34a15f, 0xfb24dc16,
+    0x5bcfb626, 0x542adceb, 0xd91f5b1e, 0xd4150bf5, 0xbe2781fb, 0x977f1c20, 0xd5c84860, 0xd3f3adeb,
+    0x64808528, 0x0cb1fcfc, 0xcf9ef634, 0x7459d6aa, 0x30fd83fc, 0x3b73517d, 0x8251d9f6, 0xebc0ce2b,
+    0x419496f9, 0xbc6bfd68, 0x8962a065, 0xc75e8faf, 0x9d5296c1, 0x6361120c, 0x7fcba633, 0xb6148b6a,
+    0xfdf1c16e, 0xf1110927, 0x5d6a9d17, 0x4fa3b0dc, 0xa2bf24bc, 0x8ff0a212, 0xc7ac60cc, 0x31460b56,
+    0x13863717, 0x6d973215, 0x2b53078e, 0x1958cfdf, 0x89bb9959, 0x48476b52, 0x839ce785, 0x84ef5db1,
+    0xd2f3f0dd, 0xa4150922, 0x8c0f1819, 0xd6a5f0c9, 0x314f300c, 0xeb887092, 0xfc330b82, 0x5079cb87,
+    0x733585f5, 0xbe954b84, 0xffc38b76, 0x8ee7ea5b, 0x9f08c202, 0xf817270b, 0xc69109c7, 0xfb9240f1,
+    0x6ee35a27, 0x8453d95c, 0xf859e188, 0x3ace287f, 0x1034fdaf, 0x208e6ee2, 0x0e147340, 0x3634d6de,
+    0x52ce368a, 0x447ddcbc, 0xd669c1d8, 0xc09a12df, 0x9f51b2a9, 0x368654ab, 0x5e1973ee, 0xc5e3714d,
+    0xd069f718, 0x64ee562c, 0x9f937eb4, 0xdc566cff, 0x46147b77, 0xb31f66bd, 0xa44fc307, 0xd9ade9fb,
+    0xaaf51e0c, 0xb00203bd, 0xed6a310f, 0x49a25557, 0x3536b5fd, 0x9cdc19cc, 0x1024c8ae, 0xfab89b62,
+    0x3d078e73, 0x4976c252, 0x030a7353, 0xd3713259, 0x0bf8c7ff, 0xdc30f645, 0x0095da5a, 0x2a9954b3,
+    0x6170bb98, 0x3e5f8753, 0xbf2e2d19, 0x50b367fa, 0x7483ea18, 0x225f49c4, 0x165984b7, 0x761e8fae,
+    0xc47d1348, 0x2d239d1b, 0x8df5c2b7, 0x525ae996, 0x898a5245, 0xd1f16a7c, 0x3b28b860, 0x1e07e740,
+    0x600fd1ed, 0x0c646c23, 0x13aac8f9, 0x2e6d38f5, 0xa09d9f03, 0x9db6f4f4, 0xf34bbea0, 0x4ea8866b,
+    0x57ae3c69, 0x4d91a118, 0x2f7e15f1, 0xb9d5065d, 0x268609b2, 0xc0c44a78, 0x92de2ada, 0x2b55cb90,
+    0x05c27c2a, 0xfa7106b7, 0x2ae428a6, 0xe92d4a49, 0x23f900fc, 0xa5a46449, 0xce89d3d4, 0x6f3a8839,
+    0x51e9469c, 0xed608533, 0x6d5bf833, 0xb538bbf8, 0x0e988571, 0x241d526d, 0x23c73ca2, 0x933ea6f0,
+    0x2d9f5a25, 0xc270b3f9, 0x31d9008f, 0x58d92120, 0xd6548652, 0x3001b917, 0xa554b5a3, 0xd9769148,
+    0xd35f26e3, 0xeaec7e85, 0x013f3c9a, 0x862dbe61, 0x067a4c2e, 0xa27c4111, 0x336fc1f8, 0x51c812f0,
+    0x256e02fc, 0x6cbeeb11, 0x9b9a57c8, 0x88d53887, 0xa3328d8f, 0xb65a74b1, 0x5b9671ea, 0xc70a493a,
+    0x6b727ba1, 0x233d969e, 0x7a095dc2, 0x282cd45b, 0xa4f246b2, 0xa1d55247, 0x553d77af, 0xeb552046,
+    0x30c1d5c8, 0x22b494af, 0x5ff02d04, 0xd12a524a, 0x33dc4984, 0xa34b9a26, 0xacd5bce3, 0xeb4f0992,
+    0xcc5df34d, 0x21c61c7e, 0x030ba985, 0xf0ddc480, 0x5ddf4202, 0x650a0a8b, 0xce0b6856, 0xb3fb645c,
+    0xfc582b0a, 0x432705a5, 0x73feee2c, 0x061c2245, 0xc41cb2c7, 0x4323667d, 0xf4d152eb, 0xa9236af7,
+    0xb03f09ca, 0xfc30efec, 0x11242652, 0x3d497b74, 0xb1380477, 0x029e9dcf, 0x3829efdb, 0x60817ead,
+    0x0075055f, 0xe13e5fcf, 0xf68c1205, 0x46b4a828, 0xef318f43, 0x2816c25f, 0xeaaa5e06, 0xd76e1f26,
+    0x611676e1, 0x84e8a3a8, 0x90360e7c, 0x93a09d57, 0xbd9cc5a1, 0xf1153777, 0xa25a2e69, 0x183e690c,
+    0xcffaf350, 0x9babd8c8, 0x4bfd9be7, 0x57e86786, 0x194d5bc8, 0x8d7f742a, 0x1577f8f4, 0x149aaacd,
+    0x0785e02f, 0x6fea4982, 0x19eaca5a, 0x6a996cef, 0xedbea40d, 0xae213e3a, 0x41cee524, 0x11aa8753,
+    0x747c13b2, 0xa6fb4af2, 0x8be2839d, 0x14012623, 0xd4749335, 0x67aa17f3, 0x9c924229, 0xefdcbda5,
+    0xce860f95, 0x9511e64d, 0x17dddcc4, 0xe6d9e6fa, 0x7bece72a, 0x512a7dc9, 0x53aa5716, 0x7e151209,
+    0x5b545409, 0xa7f7a89f, 0xe64e3f63, 0x6afa1314, 0x97c7b756, 0xf3c4d9ba, 0xec587345, 0xe716280d,
+    0x85cd0947, 0x04c4e199, 0x62e37e2f, 0x8d191901, 0x6accf456, 0xadb6f804, 0x2d63b38f, 0xc3f59d9c,
+    0xbd043de2, 0x5c511f30, 0xb51a62bd, 0x423e0823, 0xbff13196, 0x1e601439, 0xfc9ecf3e, 0x099a42d1,
+    0x6573ecca, 0x13b904fc, 0xac5397fb, 0xf0f53aed, 0xe6aaf4ac, 0x32cd640e, 0x3a2b6e4d, 0x9769949c,
+    0x29798603, 0x484237b6, 0x0c0fb4d2, 0xfee2cdea, 0xe69d73a2, 0xc44fd64e, 0xc774735a, 0x13cdc656,
+    0x30ee7717, 0xa572056d, 0xc3c8043e, 0x5cb96265, 0x2595fec3, 0xdeeab7a0, 0xe423b42a, 0x35170192,
+    0x094cbaba, 0xe9dda4b6, 0x1afab36d, 0x7dcb1d21, 0x6f9cf3fc, 0x73e98f35, 0x66244317, 0x5bea9b8c,
+    0x13a64785, 0xaa971276, 0x62246b8a, 0xc5fcc9c8, 0x093ec30b, 0xc59e1212, 0xbd9835ec, 0xa24a9d5c,
+    0xe65e3f86, 0xb8ccc8ec, 0x8a79307e, 0xe9d01a64, 0x27920527, 0x6e07594a, 0x5f0bfb6e, 0x4e444dce,
+    0xe622d7ca, 0xa363fe48, 0x64087c3f, 0x2e0bb3d5, 0x43c730c0, 0xf9a141e0, 0x2da03e5d, 0x0e5589e3,
+    0x167c04dd, 0x2e738158, 0xe9cb1d10, 0xd0fe36ce, 0x8f801c8d, 0xde2b82b9, 0xfd9cdc22, 0x02f74da1,
+    0x16cf5b03, 0x1c1e3fd9, 0xf0e5e7c8, 0x643ac23e, 0x41c74f4a, 0x02581d34, 0xbfc9be4b, 0x282d1a09,
+    0x0e09b48d, 0xe34fc8d8, 0x20ee2922, 0xf8233498, 0x9d3bb171, 0x1ab2fbf8, 0xe74abf3d, 0xb8b33397,
+    0x37cf22bd, 0x805b2869, 0xbf5107b3, 0x7e888de2, 0x8a589395, 0x077f704e, 0x44e60f9f, 0xf550e931,
+    0x4f371122, 0x22912807, 0x049d02ea, 0xf760942c, 0xebf97e86, 0x4f8e0ebd, 0x2c95c6dd, 0x4b9065ca,
+    0x9f06b578, 0xbb772968, 0xe49c90f5, 0x13b5a68a, 0x593f0043, 0x21e825c3, 0xe8a61a3d, 0x526eaa23,
+    0xa484860c, 0x444040f8, 0x053c9f38, 0x2ad187b1, 0x7f4d4e0d, 0xebb5a04c, 0xae508cd1, 0xd4af9e8f,
+    0xdef317f5, 0xacf0ad77, 0x24f0e14d, 0x1442b9a0, 0x17d0e5e8, 0x521e9f40, 0x5fdbce6a, 0x77538c1e,
+    0x52a8dae6, 0xdfb720f5, 0x242f651a, 0x4d5c9f44, 0xf8e4136f, 0x35eca8d0, 0xa6d157b6, 0x66ee4ff6,
+    0xe6f45bd5, 0x24a910c6, 0xb67b3431, 0xfa8415d1, 0xb01c00e5, 0x786c1092, 0xb6b049db, 0x74523c64,
+    0x990039b3, 0x119c024f, 0xe08fdab6, 0xa94139ad, 0xeba28bb5, 0x3c9946fa, 0x6908380d, 0x373f486b,
+    0xbf5c25c5, 0xe0bcfa29, 0x8e7b105f, 0x2a7288a0, 0xf035016b, 0x5a40f521, 0x6d688d4d, 0xe4877a97,
+    0x42c10c65, 0x52783235, 0xaf781f61, 0xd5e59379, 0xc7bf4bb3, 0x82225651, 0x10b9e59c, 0x29715b72,
+    0xd8b9f97d, 0xaec182b7, 0x29ae016d, 0xf7329ead, 0x4688038e, 0x9bc8c38f, 0xc51f2ea4, 0x3f9cb0f7,
+    0xba933be6, 0x2395c9e2, 0x19d495d3, 0x0a3d6a00, 0xbdf81c76, 0x54ff977b, 0x3796c96a, 0x6becedfa,
+    0x726d7bd2, 0x786ce593, 0x016fe641, 0x2cca8b1a, 0x8d55994d, 0x7a1ea32a, 0xa24e06be, 0x2f029d85,
+    0x042ce9ea, 0x3703a07b, 0x6e61c59d, 0x3fd2ee2a, 0x074fda1d, 0x015d7f18, 0xd7e49f7b, 0x7d967e68,
+    0xe50b2362, 0x97adf51e, 0x10ae4066, 0x76e28a6d, 0xdc97cabd, 0x5b91cc5d, 0xd592bedc, 0x23913869,
+    0xe12c666d, 0x354ae020, 0xcd2336d2, 0xea76e71a, 0xc4375346, 0x5bf72323, 0x51dd429f, 0xfa79a21c,
+    0xa9b1576b, 0x754a5700, 0x226f16e5, 0xae418536, 0x2d63d218, 0x720a647c, 0xd2cab0d5, 0x02c18206,
+    0xa7d593e4, 0x589e9936, 0xfe61fa9c, 0xcb6db722, 0x1e5d83d4, 0x895b09e4, 0x28e7f6dc, 0x07d71a6f,
+    0x8fd5ca42, 0x30e89186, 0xad0fb74d, 0x202350e0, 0x1a231682, 0x5803cf47, 0x1611ef0b, 0x5547beb4,
+    0x236735e2, 0x8f7af46e, 0x2e11dc89, 0x93fbdf75, 0x657445e6, 0x56323d13, 0xafdc65ee, 0xb149281f,
+    0x95986829, 0x4f31c3fa, 0x8ddb4125, 0xd145a290, 0x34a12a17, 0xb5dc8a40, 0xb0aba7f8, 0x7919afcd,
+    0x45f1eb54, 0xfdd906da, 0xb576481a, 0x7b0b459a, 0x4780dbfc, 0x6d3d71fc, 0x2efe00d5, 0xf2f8ad69,
+    0x49b52109, 0x996b9444, 0x9a75b9e5, 0xc312bc7a, 0xda7e2b0f, 0x52a92215, 0x990f4827, 0xed09c889,
+    0xd75c52e6, 0xb98becee, 0x894d9f38, 0xbe931576, 0x7bcb868a, 0xd5e55642, 0xad086f32, 0x174b71c6,
+    0x583aa6a0, 0x7b4796ee, 0xd496a03b, 0x1056160e, 0x2d85634d, 0x651e7de5, 0x02e36102, 0x901d5a30,
+    0x78e214f6, 0x982527d0, 0x14e9c253, 0x076910ea, 0x1ecf7964, 0x091e6093, 0x8956d99f, 0xc9664a17,
+    0x0a983a02, 0x72b6fd25, 0xffc8e8e1, 0x84d5af38, 0x7d9a683c, 0x1254602b, 0x55d1987d, 0x8f67ffbc,
+    0x01e9f5d0, 0x29f705d0, 0x26f0b9dd, 0x31310088, 0x439a3e6a, 0x3532b2fd, 0x7670c427, 0xb062c167,
+    0x56d68f71, 0x00527a70, 0x76a8a499, 0xbc168a7f, 0x57ba6a71, 0x8cb1d67f, 0x4c106194, 0xaae154f9,
+    0xc7a161fe, 0xe253fb04, 0xc8695942, 0x3d540a0b, 0xec9a5bf6, 0x1f8f8abe, 0x97d32eae, 0xb5e1f631,
+    0x3d910fd8, 0x7c9db75e, 0x8fda61e9, 0x1c144cfd, 0x7a0d01b9, 0xcff98e39, 0x6221f599, 0x5aa9d30a,
+    0x81bd008d, 0x897e87fe, 0xe85cc9e0, 0x4c5b380c, 0xa6f09d8a, 0xf9e2213b, 0x8861e0bf, 0x82c23cfc,
+    0x74269568, 0x66675157, 0xbb523df3, 0x3b4767a3, 0xf7c26c7e, 0x324324f2, 0x55c7a3d7, 0x8d2dd473,
+    0xd8649786, 0x94de74f2, 0xfede4ec3, 0x08201cb7, 0x69f5e8ed, 0x836ca468, 0x0d874c47, 0x36f89513,
+    0xa9912185, 0x81ac50ad, 0x2549eff2, 0x01a22d97, 0xf1400966, 0x5a2fd99a, 0x0633c5e5, 0xbb378a12,
+    0xdcd8536c, 0xd6d75e1e, 0xa72a0e39, 0xe740f92d, 0xeb8f50e7, 0xaa73c17b, 0x590fb5a4, 0x22d098e0,
+    0x6983fbbf, 0x8cc19c85, 0x592db5be, 0x97844213, 0x4175db7a, 0xc6ce9049, 0xa577c8a4, 0x478ca4e6,
+    0xeb4210c2, 0x8f308e42, 0x374b7c5b, 0x8d32c97a, 0x737fded4, 0x5f2afe13, 0xc672724f, 0x7eb4d84c,
+    0xdaea0629, 0x19bacbbc, 0xe7a177dd, 0x476bac7d, 0x7a55f592, 0x3e3ad029, 0x2e8962e0, 0xa0332e0e,
+    0x14281dd3, 0xf5abcbc8, 0x6cb733cd, 0x6aad6b09, 0xbfe0c062, 0x8d737338, 0x2cc00d2c, 0xb3904781,
+    0xc6da18e3, 0x4c93b42e, 0x84c48114, 0xa622911a, 0x466886d6, 0xaedc0fb3, 0xe48f122d, 0x0570d80a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000174224571863520493293247799005065324265472 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd36, 0xbf6d3364,
+    0x00000000,
+    0xcee4e2d6, 0x79133f81, 0xbd4b7593, 0x8adbfee6, 0x7eab6a70, 0xd66f4ea8, 0xea2f0784, 0x20bed188,
+    0xfbec1bed, 0x86515655, 0x3de1a820, 0x4b723954, 0x8cbe4822, 0x48c0d914, 0x6d92a4cf, 0x6b1086c6,
+    0x1178d453, 0x0b0dabc7, 0xa3ff27e5, 0x1e755c3a, 0xee3745c6, 0xe6ff119e, 0x8f498bb1, 0x92c155f9,
+    0x1727ba24, 0xc6575f54, 0xcc101781, 0x75e8642e, 0xf07e28e8, 0xb1ba9936, 0x08743c03, 0x94641477,
+    0xfff2de86, 0xa1b0de91, 0xfe044153, 0x1993dba7, 0xe518ad23, 0x6624a606, 0xc528a58a, 0x6fc2c281,
+    0x98ac2219, 0x468295b4, 0x4998178b, 0x542f6139, 0xca2b4fed, 0xb51dd42c, 0x39bed2cb, 0x8843233a,
+    0x150a1853, 0xa3a8cd2f, 0xc64636e5, 0xae8c9560, 0x5c445578, 0x26c28be7, 0xe59c68db, 0xb7dee456,
+    0x93a72e26, 0x849372ef, 0xf532245e, 0xdda4d027, 0xf65de924, 0xa2b91a5b, 0x7f435f3f, 0x2c030fca,
+    0x5888ea45, 0x88bc99f1, 0xa7640be8, 0x4b57c8b7, 0xedec723b, 0xb9ed9203, 0x896f6f19, 0x9f87a822,
+    0xe4207658, 0xc88f8b9c, 0xdd4fd8f1, 0x78f10d50, 0x3a0eed62, 0x7efa3c34, 0xc334d6da, 0x461ffbbc,
+    0xfcc9c561, 0x1a84abb8, 0x9cd28023, 0xe02daaee, 0x2e20d0bd, 0x5049d978, 0xaa89c416, 0x26d54cff,
+    0x300b8147, 0xc344ff79, 0x149aaf35, 0xc1488e61, 0xfcbf57fd, 0x866855d2, 0xb868a55a, 0x8d3838e7,
+    0xd3e36a93, 0xb139b5e2, 0xb2ccfe99, 0xdd7b1f73, 0x941b1325, 0xa61cfbc1, 0x9f978fd3, 0x0b2d9842,
+    0x9d6b6c1a, 0xa9cd749d, 0x33bf1167, 0x6ca41bf8, 0x420cb62d, 0x750dc2c6, 0xab20cffe, 0x0b5f2e42,
+    0x1803b33b, 0x29344df0, 0x73f72e12, 0x50ae1e0c, 0xa410605d, 0x37860b34, 0xcfc73282, 0x78587498,
+    0x6bee6c91, 0xd6b96717, 0x7eb297cd, 0xf053e269, 0x9427a059, 0x1f805c30, 0xa6f34293, 0x8e294c7a,
+    0x07d704bb, 0x899170b5, 0x3863d7ba, 0xf000fb4b, 0xb0509a2f, 0xba8a3a9e, 0x099d2a24, 0x47d80485,
+    0x413f2821, 0xcad8bfc0, 0x03f0b0f7, 0x4047dd28, 0x79a28e3c, 0x32dca896, 0xe3222b21, 0x848413bc,
+    0xfbe10a35, 0x544685e4, 0xde328dd9, 0xa72f7406, 0xccd508c2, 0x533b7020, 0x9a4814a7, 0x5f793f57,
+    0x54390674, 0xc5b9d7e2, 0xe837e823, 0xa14ba766, 0x27711f2e, 0x4ebd3caf, 0x24cb8d2f, 0xd25e81e6,
+    0x5b709abc, 0x88328cb1, 0xf7902d47, 0x57afbfdf, 0xc0227151, 0xd5114458, 0xbdcf9f85, 0x8ea960ac,
+    0x55673931, 0xbb824bb4, 0xb928a51b, 0xb8f4cbc1, 0xeddbe85c, 0x6ac3e7b0, 0x4dc96ae5, 0x5f51d34e,
+    0x8264a1d7, 0x7c99ffff, 0xc18ffbb6, 0xafe89120, 0x0910768e, 0x8a864cd6, 0xe4787b6f, 0xe689c13f,
+    0x5b132260, 0xfea393f9, 0x0f1c59c8, 0x7a6fea7b, 0xc1570c16, 0xd0b1fe27, 0x4784093b, 0x96a23ebb,
+    0x7620b9f5, 0xc46eeab9, 0xb5a1fef0, 0x0f25337b, 0x3af4d98f, 0x7d9cb3ae, 0xfb13e58e, 0x6215f08e,
+    0x6aa876c8, 0x3303981d, 0x072ed0d0, 0x422bce86, 0x9acf82df, 0xe0c8efeb, 0xe46d64a4, 0x02fdd731,
+    0x475219ce, 0xed0bbdf2, 0x1207a015, 0x4dcfc13e, 0xe6b6f536, 0x0176ef2f, 0x7ae704dc, 0x8f24c1ad,
+    0x5309bf51, 0x45d8aaf4, 0x81843f29, 0xde4623f0, 0x19c62d55, 0x1124141b, 0xd431c002, 0x032af8f4,
+    0x1c874307, 0x2d3addfa, 0xe0e03a41, 0x73ad035b, 0xcb62ba62, 0x89c1a3c8, 0x21199d56, 0x38632a32,
+    0x0790afd7, 0xfc44c921, 0xef3ec397, 0x1a861d72, 0xd49de853, 0xfcdb6330, 0x41938026, 0xc06a05c0,
+    0x899f8720, 0x1f433104, 0x7761e096, 0x6f8b60f9, 0x2bda6310, 0xa91ad5f2, 0x99c17077, 0x0a93df8b,
+    0x5afd87b2, 0xc59b4264, 0xe3c5df63, 0xd9a5e140, 0x3ef59962, 0x8ac8b07f, 0x591644a2, 0xc4c38573,
+    0x53a779b4, 0x8f4d11c6, 0xe306c4b3, 0xc1a0eab6, 0xa9601645, 0x740c7d68, 0x8011762f, 0x9d5ac2d1,
+    0x8f14867c, 0xf422a219, 0xc66b7e47, 0xf81aa917, 0xbc2885e1, 0xa5294224, 0x9e5bcde3, 0x40f255d5,
+    0x2ebb4d4e, 0xd7ea4a0e, 0xf5aafe40, 0xebe28d97, 0xe03e702d, 0xe551b3c6, 0xd4077f87, 0x35405b9a,
+    0x691175ba, 0xbba2ea2b, 0xda33f23a, 0xaed02299, 0xd4298cba, 0xa6b59f48, 0x16d3d7f9, 0xc8e38a4c,
+    0x8f934ca8, 0x11af10de, 0xe4a26f06, 0xd7ac3900, 0xf75d6f3c, 0xc7f8b821, 0x77832ef0, 0xcb9a3201,
+    0x5b0cdc2e, 0x637adb89, 0xf9ff7190, 0x6fc6351c, 0x6d8bbb09, 0x191b3e24, 0xf3b08d19, 0x8e14306b,
+    0x9b24888d, 0xbd54ca81, 0x205b2570, 0x4b8105db, 0xdc82ca6c, 0xb133f05b, 0x08f43a7a, 0xc41e4ade,
+    0x39b3f9b2, 0x01e2aebe, 0x0ccb7be6, 0xcf1dd242, 0xa58b852e, 0xb9c7426c, 0x41df8262, 0x76ea5a24,
+    0x13fc5f5d, 0x7056e519, 0xa2a2bc5b, 0x746e2c2c, 0x221ce7c7, 0x570a855a, 0x3eff28c1, 0xef954030,
+    0x8f2f1df0, 0xa5dc2bb5, 0xa41fbd71, 0x8c54e1a1, 0xe7cdb967, 0xaa438cda, 0x8a19127b, 0xa5e73811,
+    0x5da8ab76, 0x603c1fdf, 0x4e5702eb, 0x9541d8cf, 0xddc04bd1, 0xe4b6f99f, 0x51166927, 0x4f50ed06,
+    0xc725f53b, 0x4fe98a99, 0x77fc893e, 0xb9e66cf1, 0x33eb2823, 0x4196eaae, 0xb3f7ef51, 0x571a68eb,
+    0xe0b1fbf5, 0xd29862e2, 0xafc4783d, 0x7815c4ea, 0xe9161bac, 0x4ed79b76, 0x5a430705, 0x229145ab,
+    0x6a0a2e2c, 0x7a59e923, 0x0659184e, 0x236c8210, 0x5a1ceaae, 0x99804167, 0x13daa7eb, 0x4d6b6031,
+    0x661c577b, 0xe32b75de, 0xa81c1107, 0xabd892ce, 0xf6724990, 0xa5e80513, 0xec27ed25, 0x5292b998,
+    0x5b0b6396, 0x8dafa05b, 0xd427e5c4, 0x27cd764b, 0xff54600b, 0xc00662b4, 0x084e37dd, 0x4a940570,
+    0xcce667f3, 0xe31c309b, 0x12bd7a6e, 0xc2a713aa, 0xb9686c0c, 0xadebde69, 0xe70ba25f, 0xb48bcf0e,
+    0x288f9127, 0xbcd309f8, 0x499a5270, 0x83c5dace, 0xf908b8eb, 0x3ae478e5, 0x1aee06e3, 0x35ba6c96,
+    0x3f8c8ce3, 0xbd1e62e6, 0x666e90d8, 0xb2469061, 0x48599af9, 0x5c180201, 0x3ae875d3, 0x62a1ca11,
+    0xb910a01f, 0x2d05372d, 0x2472e07e, 0xd975f5f8, 0xb5f4b6ef, 0x2f014ac9, 0xb0c68ce5, 0x2cb15e1e,
+    0xe6dc77e2, 0x2187f9a8, 0x5ba64134, 0x08a62f6b, 0x043c79a7, 0x6ade0e95, 0x10a11e8d, 0x661c6450,
+    0xe132d280, 0x60d99074, 0x0bba7ac1, 0x072c9a66, 0x7c8bfba4, 0xc9a5865d, 0x52abbe64, 0xb1f998ab,
+    0xcbab5248, 0x80385ab0, 0x3dad7289, 0xf1af62c0, 0xdcc134e1, 0x61fccfb9, 0x52118fbf, 0xfa8aca52,
+    0x49393c02, 0x49a45d9c, 0x764cbc90, 0x22d262ed, 0xaccf03a9, 0x3a6b251b, 0xe419efc1, 0xfff1b8c9,
+    0x8b32a52d, 0x76041dc7, 0x6e61b4a6, 0x3af0e923, 0xbbb63970, 0x9e0dd5b9, 0xbe8b8831, 0xa42f5c34,
+    0xaa147eee, 0xb4fbadbe, 0xef7d89ac, 0xd6550a28, 0x4ea14e5d, 0x45c95fef, 0x35258c93, 0xf2f424e9,
+    0x5ced2155, 0x621656e1, 0x23722833, 0x170f8f61, 0x451d3154, 0x467e2d2c, 0xaefa90b1, 0x3d96cc17,
+    0x06d84404, 0xf48dcf0c, 0xc9582a86, 0x0b03151b, 0x985bc765, 0x8cac455c, 0xe1d07a62, 0xdbd0fc1b,
+    0xb2fc059f, 0x028a5562, 0x508799c9, 0x8fcff232, 0xed241d12, 0x23f08989, 0x807cae34, 0xe21a32aa,
+    0x1960f216, 0x0cbb9b08, 0x48376c2f, 0x3c3f4da2, 0x0e67e59a, 0x52b29935, 0xa348664d, 0xa6c0ab48,
+    0x7c8ba24b, 0x88e4cc44, 0xed4810cc, 0x907e8ff9, 0xf827dd8f, 0x7ccd77d4, 0x94849d63, 0xd98ecb63,
+    0x713cc962, 0xc5b75414, 0x97a861eb, 0xe83f2cd1, 0x64200128, 0x056f37af, 0x33ee95c1, 0x465e898e,
+    0xdea6f41a, 0xeb2c23c5, 0x5288fcf0, 0xd64f9795, 0x4c82f8d6, 0x3bee8928, 0x7d05462f, 0xa266b998,
+    0x47a51d11, 0xac285940, 0x874f04af, 0x8c101dfb, 0xa774b796, 0x115f2dff, 0x3f5e5484, 0x33d871db,
+    0xf0c6bd9f, 0xeff865f4, 0xb12c04a5, 0x9cb9c5c1, 0xaa333332, 0x2ff40aab, 0x931782d4, 0xe4badee8,
+    0x20b2a209, 0x14858b0f, 0xe3b2aeee, 0x91946527, 0x0a39fed2, 0x53740f17, 0x8aae729b, 0x9cc6321a,
+    0x010211fb, 0x53c62ef8, 0x2b9d8840, 0xd7eeebb2, 0x4e9c6d35, 0x1c32cc8f, 0xac4ea25b, 0xcbe94bdf,
+    0x1c482363, 0xd89ad0a1, 0xbdee6e99, 0x3bcb6058, 0xce4d05dd, 0x66e90e93, 0x9e5efb57, 0x7ce5472e,
+    0x6b5a601e, 0x996d486d, 0xed3e21ef, 0xebf574c1, 0x7c2c8000, 0xe4f0093c, 0xb02d0052, 0x6c4c1366,
+    0xc2a46f06, 0xb2a6eb4b, 0x22efcd07, 0x1fe4298e, 0x7b68b2bf, 0xb79c0008, 0xa6f5c408, 0xdf3ccf96,
+    0x65fb0e1c, 0x6b9ff679, 0x41686ae0, 0xc0d5ff43, 0x5ab0261a, 0x34e673d3, 0xe6f920e2, 0x6fcc5f6b,
+    0x28c89717, 0xefbdb849, 0x9f63e68d, 0x4226b154, 0x039e9465, 0x8740e8b6, 0xb4db1fd7, 0x6a8dc62b,
+    0x225f70d3, 0x478dd04d, 0xb6e5b90e, 0xafa72e39, 0x2af62d1c, 0x5eac6ce6, 0xb01cf99b, 0x7e77db81,
+    0x0b36812d, 0x30adcd7e, 0x095aa7ee, 0x005a44d8, 0xd118f0e4, 0x0a94361c, 0x6a6079cb, 0x9651c795,
+    0xee6068b9, 0xa8348e7b, 0xbeee8f34, 0x72df3c7f, 0xe9a159e5, 0x1cb09000, 0xac151d47, 0xa047cf55,
+    0x193007a9, 0xba40b0c0, 0xc7df4049, 0x3079d957, 0x4549df57, 0x70847aa3, 0x1f401f6c, 0x409337d5,
+    0x14a191c9, 0x47295b7a, 0x44b9fc34, 0x8a56ff14, 0x1eb422cd, 0xe736426c, 0xf0837070, 0x5789081b,
+    0xbd4ed9d8, 0x62995224, 0xff4e39fe, 0x16e83975, 0xbee03512, 0x80d7cc73, 0x1cf37f5e, 0x0594c75e,
+    0x25644134, 0x364418f6, 0x69ba6272, 0xbb2ace5d, 0x4f71b0e2, 0x2f92715d, 0xd5b007dc, 0x25834217,
+    0xc151a80f, 0xc346e859, 0xab391439, 0x81d8387a, 0x328a8276, 0x22c56632, 0x870fd83b, 0x5dca5ec1,
+    0xad984a86, 0x1ff719e1, 0xd99e0f0f, 0x6b41ffd6, 0xbda82666, 0x9dc4286e, 0x4712f0e5, 0x9fcb8bb7,
+    0x9616cf8d, 0xf10b29f1, 0xb154c6bc, 0xc02aa2dc, 0x05e19cd1, 0x6f78bd78, 0x78ff7f81, 0xf3ba0fa2,
+    0xac77441a, 0xbf85e0bc, 0xfee6d75f, 0x4d76c719, 0x0cf12bd6, 0x9208ba2f, 0x90dbd6de, 0x07088bd9,
+    0xe1190d73, 0xff853244, 0x00702bd4, 0x5575852f, 0x5375bfc7, 0xf0481e9f, 0x80a525df, 0xc2bd1e5e,
+    0xf3bcec20, 0xa14e76d1, 0x22ac6b8c, 0x21fa5c7d, 0x81d25c92, 0xd5da7d49, 0x95b7a3d7, 0xdfea83b8,
+    0xe137c140, 0xe8ce24d1, 0x661dbc02, 0xe96c6fa4, 0x69f09216, 0x1e931dd4, 0x2ac157c8, 0x94b5699c,
+    0x02e2a81a, 0xdbfa727c, 0x8c6c52ec, 0x46565e97, 0x809f35a0, 0x6894b338, 0xdacbd00d, 0x228d4d47,
+    0xc4f5e07b, 0x2e213a60, 0xf1ddcfa9, 0x9713f300, 0xeade94fe, 0xa0304aa8, 0x2dcf9048, 0xead945ed,
+    0xf8ab8f8e, 0xa79119b7, 0xcf162594, 0xcdde2811, 0x11a63f7e, 0x4c569ce6, 0xc4e49441, 0xe5394757,
+    0xc61ec2ea, 0x30a223f8, 0x074a1ccf, 0xeebf565d, 0xf5c8f99e, 0x7a524b9d, 0x33e1acb8, 0x85794db7,
+    0x1224978d, 0x2e39eeaa, 0xc33c64da, 0x26069368, 0xb55f011c, 0xc8b4a3d2, 0xacc4cefc, 0x1d7efe3e,
+    0x0e880388, 0xe816cd85, 0xab802f35, 0x4e22ff05, 0x85009c9e, 0x77d61891, 0xa5cf101c, 0x2ab332e5,
+    0xf3f91e3e, 0x78152322, 0x28b285ec, 0xf11404af, 0x85fdd440, 0x871b04d3, 0x54d8dcee, 0x4cd40bef,
+    0x0626775d, 0x5279a123, 0x743f19cf, 0x47f53f0d, 0xfd6d8113, 0x6fe1a837, 0x00850c09, 0xb02b9257,
+    0x3115267d, 0xef899fc1, 0x3c3d80c7, 0xceb7d322, 0xf54d5321, 0xc0771e57, 0x6d08db60, 0x7299f916,
+    0x2026cb6c, 0xd36d84f7, 0xa990d337, 0xd744ef87, 0x9f93a036, 0x70fee896, 0x0237f142, 0x47e0ec33,
+    0x57a45c2b, 0xced4daf9, 0xb847d659, 0x01cf343d, 0x8879eee5, 0xde832925, 0x59b36783, 0xa5975c69,
+    0x5a8b1e69, 0xb8badf92, 0xbf66a2f7, 0x5402613a, 0x2a32ffd0, 0x86724159, 0xf6f534aa, 0x6f730d58,
+    0x8630d646, 0x8bb4a5ea, 0xfca3796e, 0x1aae862f, 0x7de7b0e8, 0xdd5ca638, 0xac9a1c57, 0xcf184942,
+    0x0104ccc3, 0xafadd987, 0x6e1f6432, 0x43cc90cf, 0x8f3a6fde, 0xb3e9e5dd, 0xf4716433, 0x72e3b093,
+    0xfc19495b, 0x9dc33e0e, 0x86bc61f4, 0xc9bbe04f, 0x49cf808b, 0xea194ac7, 0x09045508, 0x6e142aba,
+    0x429bcef9, 0x84c9e58d, 0x62e94ba0, 0x285ccf24, 0xb5d187ca, 0xe7152311, 0x70c3bbe3, 0x5369dc21,
+    0x424cf655, 0x94be47c5, 0x1eb4ba32, 0xcde96d3d, 0xf22a7b0a, 0xe89a92af, 0x35c6b26a, 0x55ab2664,
+    0x09464f33, 0x1622fb77, 0x4b526e84, 0x61eb1642, 0x09591f89, 0xe07efea5, 0xdb7cec45, 0xc7e93c36,
+    0x89c43329, 0x24c05f84, 0x8568061f, 0xa884a27c, 0x049d9ec9, 0x00dfd81c, 0xdf2f74d9, 0xfcd6f5cd,
+    0x1815e5ea, 0x84e0fd88, 0xdb82bfc8, 0x62abc87c, 0x9d833573, 0xf2738f96, 0x0d3d3034, 0x1ec0262e,
+    0x7be7e8fa, 0xb0758b6f, 0x3c92786c, 0xaa079df8, 0x1c3139cb, 0x83271a82, 0xb8aa9ec2, 0xc3ff6646,
+    0xc34a299e, 0x3e0c99ae, 0xc6c6c6c5, 0x386a7f4e, 0xfd2ad8dc, 0x37a00892, 0xb6b040e0, 0x70bb3d39,
+    0xe5b0c615, 0x46e5243c, 0x96c0cd73, 0xad6fcd32, 0xc6112141, 0x5088a186, 0xd0d8eaf6, 0x170e8322,
+    0x222f3217, 0xf58d3314, 0x62277408, 0x12b30b70, 0xc19986fc, 0xfe922e33, 0xfa88666f, 0x023ec3dd,
+    0xe89d16a0, 0x63828b93, 0xa8fc1e6a, 0x800b9eef, 0xf73867b3, 0x5fa32034, 0x954d8942, 0xb92fc897,
+    0xfaaab60c, 0xd92e058a, 0xac55401e, 0x306f5e08, 0xf01c0869, 0x1fdb9d46, 0x3b3f2a8e, 0x868c4eb3,
+    0x4e02aeea, 0x58f42e30, 0x7012f5ec, 0x86177c19, 0x2c697f65, 0xa3cabca2, 0xac73a7d4, 0xbe08e473,
+    0x67dae6da, 0xce93c68e, 0xbd15ddb4, 0x75b41954, 0x7e46da1d, 0x5bf32e10, 0xc10f1c47, 0x1ac1f37c,
+    0xf741b6f8, 0x50680fb0, 0xf62f47a4, 0x1ba5dd02, 0x7364ebd9, 0x0b410e17, 0xfb8cef76, 0x4cf8877f,
+    0xd7937684, 0x7f7cdb51, 0x3fd5b4b2, 0x891a2434, 0xef88aebe, 0x1bd48990, 0x2437f1ab, 0x60b61bcb,
+    0xffb22b1f, 0xa918b2b8, 0xe81a9716, 0x810a6cc9, 0x5384cca1, 0xb5b0a24b, 0xa84cb187, 0x7a6d8f7a,
+    0x9cfbbb62, 0x5cf1e0a4, 0x37567085, 0x970d48d4, 0xef3dc2bc, 0xb64d8069, 0x1731c495, 0xf0b8b11d,
+    0xbc1664b9, 0xab7c6803, 0xc799cd78, 0xefaacbea, 0xa281f9a4, 0xe92d5bc1, 0x1fa85d2c, 0x065dbc39,
+    0xf3463740, 0x15cd349c, 0x5e1c7e04, 0x4e853ad4, 0x4b41b746, 0x4f0d3d47, 0x44b89af3, 0x26825f25,
+    0xc7c7b824, 0x31192c00, 0x67ea1de5, 0x1ded333c, 0x20a32352, 0x1d5a1c89, 0xb489ae18, 0x20a776eb,
+    0x0d5bfe28, 0x47db3ca3, 0x764fe017, 0x49b45e8e, 0x9a16e4b4, 0x2c86f216, 0xf187e341, 0xd154e704,
+    0x9e7a86cf, 0x6201b289, 0xd11404db, 0xe679a622, 0x3780b9fe, 0xea4a80f5, 0x2c406d5f, 0x87f389b6,
+    0x766699bf, 0xd2101922, 0xa1220ef0, 0x056e9229, 0x9129ce20, 0x3baa7686, 0x79d8d8b0, 0xf7c5a413,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000087112285931760246646623899502532662132736 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9b, 0x5fb699b1,
+    0x00000000,
+    0xe6241975, 0x98311f23, 0x0471d4bf, 0xf0dd73c7, 0xfd4dbd31, 0x072e66f1, 0x0139e69e, 0x6ba57d2e,
+    0xce55591a, 0x3ff01c4a, 0x1eb22ff1, 0xe3e0e3c3, 0xcf791b69, 0x02377681, 0x2f607bec, 0xf89146d7,
+    0xe0b9fd08, 0x7d378011, 0xbd13a6c9, 0xe74cb369, 0x24dbd6da, 0x8f4e9151, 0x568c9b89, 0x42785a3b,
+    0xf4b5a81e, 0xfcc37b08, 0x6b0c1f88, 0x20b1a215, 0xfbc50673, 0x70beeb74, 0x96b1c900, 0x69417450,
+    0x190f6b10, 0xaa741ede, 0x3ce172b3, 0x850db074, 0x08b01ee7, 0xda541f14, 0x068cfcf0, 0x77c2896f,
+    0x37e6947d, 0x5606b7ce, 0xadf1523e, 0x42a343e2, 0x0d4b6383, 0x42c96a2f, 0x06e3ec37, 0xaf583d07,
+    0x6b413f30, 0x27c1d115, 0xbe3b791c, 0x7644ab8f, 0x24968e0c, 0x215fc356, 0xa958ded0, 0x5e367a86,
+    0x6fc84270, 0xbdcf8751, 0x8635ef22, 0xea74f5e8, 0xb59c2591, 0x24d27ef7, 0x2182bbdc, 0x3be1f1b6,
+    0x75d2cb5b, 0x717fdb46, 0xfca96ed3, 0xa9c92de7, 0x2b2c44c5, 0x93d534e2, 0xf21ff6be, 0x813f6df0,
+    0x812c9199, 0x398e881a, 0x947da5c9, 0x1053fea4, 0x2c32dac1, 0x9dd9caa9, 0xa8b03919, 0xdb3d0844,
+    0xe173a061, 0x547228b6, 0xa23ff2c7, 0x682fcd5e, 0x73e6cba6, 0xd965d58f, 0x49c3da3e, 0xaf7917db,
+    0x3e38862d, 0x41b801a6, 0x3f45d311, 0xaee9d1da, 0x0e2c1c67, 0x33478f34, 0x48180df0, 0x82fb06be,
+    0xb8125e04, 0x55e653dc, 0x2106ca99, 0xd4a7e487, 0x067baf6d, 0x8aed7724, 0x1766345e, 0x26aa82ad,
+    0xbfe0a0de, 0xd1b9058b, 0x02886bf7, 0xc28bbb24, 0xad24c47f, 0xe7027e2e, 0x79d99e0a, 0x1a5829ba,
+    0x6de1d59a, 0xfcf43d41, 0x03d1d120, 0xacc3bf35, 0xf448209f, 0xf248aef3, 0x9ca45c71, 0x49fffe54,
+    0xafead0b4, 0xd9d62597, 0xf6b0d470, 0xc3ef60f5, 0x3d5f8476, 0x902c104d, 0x0373389c, 0x6efa946e,
+    0x3e6b2609, 0x434a271c, 0x7e8ce38a, 0xddbd4e12, 0xe3337bf4, 0x1f28f65a, 0x260a3d50, 0x08cdffb9,
+    0x4f624e88, 0x5881eefd, 0x97e66bc9, 0xe353be01, 0x72c50519, 0xfd1e2048, 0xd0c3670c, 0x8ae821c0,
+    0x3f9e41f2, 0xc4750395, 0x10fbafc3, 0xbfcf99ab, 0x47e075bb, 0xeaff35dd, 0x854e5265, 0xd4cf6795,
+    0x0f9bfd6e, 0x6f6488f2, 0x48070ea2, 0x049e97ac, 0xe2085eba, 0x9eac618a, 0x1cbe3ba9, 0xb4e61c39,
+    0x7bafdd45, 0x3e7533b3, 0xac795f3a, 0x5f7366d2, 0xb5adaf8a, 0x98a4ebf5, 0x21e0b18a, 0x590b4992,
+    0x067c091f, 0x1ba02f15, 0xc5bae0fc, 0xf08237f1, 0x031ef37b, 0xd14e1c00, 0x1d63b2ee, 0x65263a45,
+    0xbf2add07, 0xd7d6dcc2, 0x7f7241f2, 0xfd1d10b2, 0x8e42a12d, 0xffac2356, 0x669092a8, 0x4d46445e,
+    0xbe01a067, 0xb4b29b8c, 0x7b5e7861, 0x6974bfad, 0xa48cc20c, 0x6d467577, 0xbd4eddac, 0x18e6f2d7,
+    0xb0bf2c5c, 0x74c15318, 0xb8637b98, 0x7d573ef2, 0xc2ccf6a3, 0x9c3dca48, 0x213c1815, 0x9552a848,
+    0xe709d29b, 0x2955a9bb, 0x0ffdbd2b, 0xd2169cf5, 0x4a2969d6, 0x36fb6102, 0xbb8a3210, 0xc8a22935,
+    0x9353c0c2, 0xdb9a336a, 0x554a9185, 0xbcad9abc, 0xa85408e8, 0xfcda47c9, 0xa2e7c780, 0xdb32fddb,
+    0x47d805db, 0x66f3a259, 0x4e95f8e0, 0x6e0ffb9a, 0x738d4fb2, 0x78fdbaef, 0xbadb3394, 0xc66d377f,
+    0x58905b18, 0x5180a5f3, 0x9fa7c707, 0x21042150, 0x98ec1c26, 0x33e439c5, 0xb7c88de0, 0x63e25ea2,
+    0x6af1f384, 0x59726ab3, 0x8fe2b36c, 0x3d7ffc61, 0x858fe423, 0xb8c6d7c7, 0x1e715de9, 0x90f86c21,
+    0x4d7fa518, 0x95252c8d, 0xe9d639c8, 0x1e890df7, 0xcc907e14, 0xf1b5a67e, 0x9f9ae4c3, 0x02b39cb2,
+    0x72fbfcba, 0xdb88e7cd, 0x476ab501, 0x3db25fe6, 0x0fe3b972, 0xc633dda9, 0x05dafdcc, 0x41f135dc,
+    0xd5194794, 0x3f27cc98, 0x017e7da7, 0xb9996ec1, 0x7febffea, 0x36202962, 0x220bc6be, 0x80c15a78,
+    0xdd75e5f7, 0x4dea1f3c, 0x3a47b45b, 0xe5e9cb36, 0x7143a14e, 0xc6861e1d, 0x9bfc1e24, 0x14d3a010,
+    0x66832d88, 0xbe676926, 0x93dfc4ef, 0x9276edb9, 0x8a6eb85c, 0x5f8d8db2, 0x6ec4210b, 0x88bdfd08,
+    0x5b5ea4fa, 0xc40d6247, 0x2c73c342, 0x293f8d22, 0x87859bd8, 0xaeafa359, 0x90a419a2, 0x2b60b258,
+    0x3f1ccb51, 0x3b8742c7, 0x8c9b9590, 0xe215095c, 0xc361e0ed, 0xd7b9cc22, 0x00b11f62, 0x23de08ce,
+    0x77e7d3d0, 0xd9666ea9, 0x960f2f5c, 0x07ecd334, 0x7d049c5d, 0x9e5666fa, 0x9322af10, 0xc6d53d60,
+    0x20582e99, 0xe55241bc, 0xa9a68504, 0x7f5aa43b, 0x18efae92, 0xf5349e7b, 0xa8bad1d6, 0xb376571f,
+    0x84f01bd9, 0xdf8b4d7a, 0x2da49b71, 0x884af032, 0x36634c06, 0xf58b0aed, 0x0a4da8a1, 0x5afe5d19,
+    0xce31149a, 0x056386bf, 0x0b25c141, 0x54d2a6c7, 0xe5ed11cb, 0x8a358203, 0xc5ba8684, 0xbbdcf2af,
+    0xdb5c8018, 0xebae103c, 0x9d37ab7e, 0xb48b9bfa, 0xa4ae25fa, 0x5e82b2ab, 0xed41a61d, 0x4fce815f,
+    0xb8362811, 0xd49250ed, 0xb3d1bfe2, 0x2f0ea76c, 0x4aec7e39, 0xd3d932f6, 0xb33897be, 0xe9b190d0,
+    0x46e35795, 0x7ec69e15, 0x05858f5e, 0xf0be6c23, 0xa23f283c, 0xee18afb3, 0x42b6642c, 0x4e839965,
+    0x4588eb5d, 0x6357a424, 0xc2ea547c, 0x74182713, 0x93c43a04, 0x410dd2ad, 0x7881b5bd, 0x5e7f96d0,
+    0x044c086c, 0x19fa6e44, 0x2b11a154, 0xf6a44fc9, 0x0daf8885, 0x8badb817, 0x260a2981, 0xf8a7efb1,
+    0xef8c07c6, 0xeee1ede1, 0xa6c71abc, 0xce182ded, 0xdb31b08a, 0xc94e21a0, 0x595e0984, 0x0a4e545c,
+    0xfb7960ea, 0x26e5f2e5, 0xc5db9d7e, 0x1cae5988, 0x6034a102, 0x64a63cd1, 0xad3c9723, 0x00fdee8d,
+    0x348e6dc8, 0x27797ea8, 0xf4e01ecf, 0x4d722c28, 0xbef06be1, 0xa03dbeae, 0x0545308d, 0xc76583bb,
+    0x6d57c949, 0x88c4563f, 0xd89df87d, 0x2997c4c2, 0xba29f338, 0xd9a26f0a, 0x91e65469, 0xc2bc68a3,
+    0xca7888c4, 0x3853caec, 0x150a28f0, 0x8ab1bd34, 0x9a4bda30, 0xce17a034, 0x2ce4fe93, 0xc32da5fc,
+    0xcad5f88f, 0x1fc76412, 0xa7a27ff0, 0x982d44e3, 0xb6622816, 0x571f5d1a, 0x50afe06a, 0xaeef21d3,
+    0xe5f4f8b9, 0x26dc8923, 0x4f14600b, 0x5de8a55e, 0x382ed177, 0x55d43842, 0x198d86c2, 0x849f2670,
+    0xc98966e0, 0x05ebd176, 0xd3506388, 0x36bf42ea, 0x8d04967b, 0x43f7b5f4, 0xe387b864, 0xad68e775,
+    0x75cc1cbf, 0xfcc8901b, 0xf40edd1c, 0x6966fcd1, 0x0265f6e8, 0x5f1a3e59, 0x343ae77a, 0x840e213b,
+    0x00aa916a, 0x53833de6, 0x7f132bde, 0xab88b1b0, 0x212491ba, 0xc33fbef6, 0x40b4b304, 0xf787ed17,
+    0x8a476f4a, 0x0088f4b4, 0x9d53a42a, 0xa72feb4a, 0x8be3412a, 0x35805e61, 0xa39f9d2b, 0x40afec12,
+    0x40077f87, 0x84163adc, 0x114e428e, 0xce4a5b2b, 0xf06000c7, 0x4b87c81b, 0xd1ec2f8e, 0x6f6348c7,
+    0xa8b07d80, 0x923a4c6b, 0xff96f9ab, 0x26e2aaaa, 0xdb971f28, 0xd5cbf953, 0x4ca6dfde, 0xb5f39f54,
+    0x0518a111, 0xf3538347, 0x97d90973, 0xe79902a7, 0x60f802b5, 0xb400b6c1, 0x54a5ba17, 0x8e3203c0,
+    0xc522da15, 0x11d36440, 0x872dc87f, 0x33ba3ebb, 0x10aaba5e, 0x556ff104, 0x6a7b412b, 0xecacc081,
+    0x6bf0a98b, 0x58518995, 0x81a6c18b, 0x45974097, 0xea464233, 0x7eb67392, 0xc7a96e66, 0x65a1fb06,
+    0x12799ec3, 0x41fd50ee, 0xccf7d555, 0xb6a0dd51, 0xb255a4ed, 0x96e6f2d4, 0x031bb448, 0xbd7bc569,
+    0x1969d8ca, 0x824f0f45, 0x2d8a5405, 0xceed3d7b, 0xa2e6491a, 0x18a733b9, 0xe43c14ce, 0xe36ac98b,
+    0xfe0c5f14, 0x49f735e0, 0x6f70a787, 0x51a3ecb6, 0x326a064d, 0x9aa2e6d1, 0x92a60da9, 0xc607a081,
+    0x4a7b632d, 0x78352dbc, 0x2376e71d, 0x3c30bebe, 0xab0bb023, 0xa461ded1, 0x8c94c2a6, 0x64435a59,
+    0xba2a2261, 0x121f1c58, 0x8a8ad67e, 0xe5b78847, 0x13100b79, 0x39cc2c51, 0x4f79a52e, 0xa04fadc4,
+    0x725042b2, 0xf9c13006, 0xb62dc046, 0x04b2ae1f, 0x030491e8, 0xb2f356ef, 0xd0ce0ee5, 0xb0085d44,
+    0x8fe12bc5, 0x700a4d25, 0x2a4a67ae, 0x244b10c6, 0xd98adb35, 0x531df77b, 0xfcb77875, 0x85beffbd,
+    0x008d80c8, 0x3e1d843b, 0xd5e972a3, 0x7d35a0e4, 0x38b4352b, 0x482ee6d3, 0x66a6f0bc, 0xf596ab35,
+    0x09299d59, 0x0ece7746, 0x216277e5, 0xe6b76be7, 0xacc38a7d, 0x9987cb65, 0x32e8fd06, 0x7a965183,
+    0x5ee951f5, 0x59ac96e8, 0x69764b63, 0xd5c6aa11, 0x6b0561b8, 0xf7604775, 0xcac83362, 0xe0395ad0,
+    0xc60c97f3, 0x1dd80663, 0x5592cc85, 0xa6231111, 0x4f7283b2, 0xcfdb591b, 0x13e14b07, 0x356cd948,
+    0x2392a3bd, 0xaa8cb736, 0x5e35d5dc, 0x39d09382, 0xb1c20080, 0x4098a712, 0x8c09333a, 0x9b6086ac,
+    0x301399b9, 0xf95bbadb, 0x81d07aad, 0x3ef66a19, 0x839ef36f, 0x48dbea08, 0xa17e9727, 0x636fc8f4,
+    0xf85dad62, 0xa1836f51, 0xbc2e2d5f, 0xa4c8a2ae, 0x339543be, 0xc5bff194, 0x9f74d43e, 0xe5d8fa09,
+    0xe23015ab, 0x3db475ed, 0xfd5a266b, 0xa36871a7, 0x77d042a5, 0x5e4d2e2b, 0xcc38baf7, 0x09fb6779,
+    0x10c394a9, 0x7bd71599, 0x2621c32a, 0x99d00b6b, 0x9c878eb6, 0x70032ffe, 0x5f9a43b8, 0xca52bd17,
+    0x3db1ee23, 0xb90c2314, 0x54b57ebc, 0x09e62005, 0x7a1097e2, 0x50f66a96, 0x5b7e3d5d, 0x6ba50aeb,
+    0x00dba2d4, 0x58a06ab1, 0x254e65dc, 0xcfb6c61b, 0x0b072105, 0xa8086309, 0x8a6c25ba, 0x324fa768,
+    0x2a1eb111, 0x068446b2, 0x9fef6809, 0x9d92a9f5, 0x48997c6c, 0x984ded85, 0x90e1f3ba, 0x97a35843,
+    0xa2c8ff9f, 0x7e9f1395, 0xe13964a6, 0xfdab9463, 0x61c6982e, 0x858d3bc4, 0x85542644, 0x52ea6c0c,
+    0x91ddbef7, 0xfdbdf27d, 0xc72954c4, 0x81eeff09, 0xac462804, 0xc1c70cb9, 0xadb9f95a, 0xc9ac14ab,
+    0x01f99bf0, 0x755c19b0, 0x5134e038, 0x8dea9360, 0x6dd8e2e3, 0x45507d79, 0x30dc0afd, 0x762fab82,
+    0xe43a0f1e, 0x515f2d85, 0x5bd43850, 0xbdb944e9, 0xcdaf9f9b, 0x225aecae, 0x3164d743, 0x95fca4c2,
+    0x99059ded, 0x36163994, 0x8334faa3, 0xce75b76a, 0x844d36c5, 0x6876e62f, 0x2c83f597, 0x8743738f,
+    0x71ced663, 0xdff775c5, 0xfc93b708, 0xc2c58908, 0x6c3576b6, 0xec44f4b8, 0x1594c75d, 0x2777bf0b,
+    0x937f1501, 0xde5b1083, 0x51421cc3, 0x84e5114c, 0xc692f1f6, 0xd9d90cd5, 0x7096dacb, 0xd5171eaa,
+    0x051eea64, 0x4ba7603b, 0xd6732eb1, 0x78b37d93, 0x2595b98b, 0x16d178ec, 0x20c4ba40, 0xffa0df29,
+    0xad558a74, 0x7707490d, 0xc441a7f9, 0xc70e1ee8, 0x52b97297, 0xe703dd1a, 0xa21f4b16, 0x03eb18e8,
+    0x07a31a17, 0xf0f09813, 0x61fa3c4a, 0x850e1310, 0x9e2d8460, 0x9b6c2313, 0x2d4f4d78, 0x95b6c9de,
+    0xec49629f, 0x0d351541, 0xc3e71f1b, 0x7f134e4a, 0xca73b11f, 0x7cd753f6, 0x20fa3ccd, 0x9a42f83a,
+    0xb315008d, 0xf301d2c4, 0x3d862c19, 0xe939de96, 0x33829254, 0x2e85505e, 0x54afe59a, 0x1245df48,
+    0xe4d6a38d, 0x9be94097, 0x4c5e5eb4, 0x5de39e9d, 0x85c582b5, 0xd64e3507, 0xce43b76e, 0xe37e01dd,
+    0x870fa708, 0x4a6b270d, 0xe7026558, 0xc88c1ec4, 0x6f18040e, 0x7ca05daa, 0x2337d14f, 0x0cdf8d14,
+    0x1d0daee2, 0x15580763, 0x58f9f64a, 0xe5726536, 0x9804a721, 0x7d1e0abd, 0x4128f24e, 0xdec4011c,
+    0x50215d50, 0x3aa7cd0d, 0x1b2fe358, 0x098913c9, 0xf21a612b, 0xb6dbf572, 0xba78119e, 0x3c38104a,
+    0xb958cb03, 0x7744b2a7, 0x51b6bd12, 0xeecaeca2, 0xa921be82, 0xc3392a77, 0x3e0a957d, 0x809ad82a,
+    0x068cd1f6, 0x795276a9, 0xbc3f0455, 0x924c9112, 0xcb457683, 0xc71e6911, 0x13411fec, 0x64ce6333,
+    0xb2e290cb, 0xc5b9885b, 0xe80fa4a3, 0x5eec1d95, 0x6a8c7857, 0x16eb0870, 0xf85f11f5, 0x8d5a681c,
+    0x13b46e4c, 0x6f125a54, 0x8070d839, 0xe3b37a3e, 0x61de3104, 0x65312dbb, 0x8b33e340, 0x50786b01,
+    0x4947d6fa, 0xae635d9e, 0xc5e2ac47, 0xb48987d5, 0x8fa1f39e, 0x3093faba, 0xca078694, 0x8a37f756,
+    0xe7c6484c, 0xa6ba77e6, 0x29a2f6ff, 0x346b0f52, 0xba016454, 0x88a0422d, 0xba6051e9, 0xeda8c840,
+    0xa1a19ff6, 0x50032a04, 0x9a8141ff, 0x0e6b2402, 0xb52e5dcb, 0x04b3b90f, 0x51b220d7, 0xfa51f5f2,
+    0xc3a1b13c, 0x20a451d6, 0xfd3048bf, 0xb53550c5, 0x8acaabd8, 0x3a996b14, 0x17d9899b, 0xd392ad8e,
+    0x643febd5, 0x52d344ea, 0xfd7ac1b6, 0x7b7b9b93, 0xbb7456b4, 0x59ead87f, 0x5537fc76, 0xbae0fcef,
+    0x6b97825b, 0x51c64ca3, 0xe945aa6c, 0xaa63f9a7, 0xd689aeac, 0x1c42a6cf, 0x215ab1bb, 0x75a8af56,
+    0x5f94349a, 0x21266f61, 0xb7111dc5, 0xdd39cf14, 0x607b44a2, 0xb4520f39, 0x224d80eb, 0x651b4adb,
+    0x00df0333, 0x6b6dd095, 0x7123a277, 0x62a9920e, 0xf99bf7dc, 0x50a1b175, 0x75a51b80, 0xb09d6f55,
+    0xd8741c30, 0xacaf17a0, 0x32ae05a8, 0x6a729fb0, 0xf4104dc0, 0x6a06c1f7, 0x9079b158, 0xe5bd4423,
+    0x842c74f5, 0x7c3b4453, 0x96af2174, 0x9c46a0fa, 0x8e7c822e, 0x1ad57802, 0x66313af9, 0xf55ca692,
+    0x527b64df, 0x93ae9e02, 0x42718420, 0x2c61216d, 0x1551108f, 0x21fb3a65, 0xa7e27653, 0x9ef25646,
+    0x38bc8608, 0x4f51b0d0, 0xe9c6fd7c, 0xd22ffc71, 0x551a02ee, 0x67492074, 0x71645006, 0x16a7bd1b,
+    0xd109a16c, 0x58a15eb5, 0x2ac40dbe, 0x35a262e4, 0x3ee538f6, 0xd8384ef3, 0xa39120f9, 0x00569355,
+    0x658c93e7, 0xd0f3f130, 0x50804b7b, 0x8e45476e, 0x7294e72a, 0x8211f2d3, 0x6149cf98, 0x09243a15,
+    0x02546e93, 0xd969f0ef, 0xcf6d6ea1, 0x708ee25b, 0x1229dc8b, 0xe53657d1, 0xd682201f, 0xd0594bb3,
+    0x51060555, 0x61e32438, 0xc6f57667, 0x739680c3, 0x1a71848c, 0xc6c9fd12, 0xc7e86213, 0x6762d648,
+    0x3a440e6e, 0x45028a93, 0x40e77563, 0xa28a69cf, 0xd4b7a1fc, 0x23e7b8c9, 0x9bfee03f, 0x3c0a1ae4,
+    0x5f721bca, 0xa21633bd, 0x234981f6, 0x915ef221, 0x1b949e50, 0x234b1faf, 0x05808642, 0xa15bc544,
+    0x02bdb1fb, 0x599093de, 0x3bb547dd, 0x7d6a407b, 0xebcc512e, 0x78feedcb, 0xa0a2101c, 0xb823d2e5,
+    0x030140f0, 0x56b2dc59, 0x059be726, 0x0ef10a4c, 0x9f5f1b7c, 0xd95a0335, 0x6afbe997, 0x159f0e0b,
+    0x1e0c2eac, 0x0b9a357b, 0xff0b2011, 0xc0359a7a, 0xeb2a6e13, 0x2815cafd, 0x4cff7aa4, 0xd8cf3526,
+    0x1d8ac155, 0x258631f2, 0xd6fc84ba, 0xf5fc2269, 0x2b7fb778, 0x558bb30a, 0x1b0f1564, 0x5b04ccda,
+    0xa1252840, 0x2e5d224f, 0x63a30cdd, 0x953bb519, 0x106e1b08, 0x814a3c86, 0xc06d0044, 0x5409c126,
+    0x40329920, 0x508bddf3, 0xc5d9adb5, 0x6498e9b7, 0xea9b361a, 0x4483e2a7, 0xffde9e61, 0xc83b3798,
+    0x93c1c3ac, 0x2adbeff3, 0xdd3c8668, 0x664bf8c4, 0x56f14d9d, 0xd6cc8f62, 0xbd48e7a5, 0x56cdcd68,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000043556142965880123323311949751266331066368 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4d, 0xafdb4cd8,
+    0x00000000,
+    0xaba22b6a, 0x28b3ced2, 0xcc08ea55, 0xd61e88ad, 0x0cce4459, 0xf619fdd7, 0x90c73c28, 0x010e6128,
+    0x2e2f167f, 0xd2682fde, 0x7f19448a, 0xf7efe551, 0x533b69df, 0x9be6d111, 0x951bd4b8, 0xd4277ab5,
+    0xc1eb359d, 0xcda2f14b, 0x9e50d15d, 0x5b05fc8c, 0x8324260e, 0xda8f2e85, 0x307e81e4, 0xf3cf6622,
+    0x2d99beca, 0xe8f0d8bc, 0xad17a407, 0x3bbb8cae, 0x0a944203, 0x9b8ca1fe, 0x1bd217c0, 0x76e692dd,
+    0xb4589965, 0xa30c4dca, 0xa6b382e5, 0x4f9e6ab4, 0xf846e07a, 0x729834ef, 0x9d220cad, 0x0dba0f88,
+    0x6d127d52, 0x0eec78a6, 0x0300622b, 0x7e2a7a4a, 0xfc6b804f, 0x917c7c41, 0xb9b12e14, 0x89dd28b8,
+    0xdf3e86b9, 0x0e2c52b9, 0xc75b77c1, 0xe8a4aa01, 0x748a3819, 0x3cad952d, 0x25fc510e, 0x5f996106,
+    0xb8b19144, 0xf099bb8f, 0xc4e0a5b3, 0x05a4712b, 0x1b66e527, 0x04b52dbc, 0x0853a08e, 0x3cfb75a3,
+    0x81da1e5b, 0xc0fe1be4, 0x284a4f73, 0x198a90e5, 0xdd61626d, 0x7dfcce5e, 0x99445c14, 0xc101711e,
+    0x5dbee2b4, 0x084eaddd, 0xf76a9c4d, 0x2c6a6d8b, 0x2305ea17, 0xead92797, 0xdd16d3fa, 0xd2ded95a,
+    0x70d512d3, 0x3537dfdb, 0xa81a335b, 0x06822b78, 0x8bb5eb0f, 0xebd34f38, 0x9b093376, 0x7850f243,
+    0x5571cc22, 0x766ce8ee, 0xb3430a1f, 0xf033899c, 0x906bc83b, 0x771682b9, 0x5c245d14, 0x7560f494,
+    0xbf18d684, 0x24246502, 0x2f52697b, 0x2de83245, 0xbbe08fb3, 0x4b054647, 0x7e4ab3a9, 0xa0b6891e,
+    0x36573730, 0x9771f043, 0x61c519e7, 0x1df62e91, 0x7ccea264, 0xe80a8e04, 0xdc23c022, 0xec1d46c2,
+    0x1d759a5a, 0x2b5318ec, 0x8d8d42b9, 0x4fce4e5e, 0x53ab9e1c, 0x00002854, 0xbe402b4a, 0x099090ca,
+    0x9b1910d6, 0xe74ce527, 0x26b7eb3f, 0x7c66d4a6, 0x904d74b9, 0x9ce5ae1b, 0xdcc89e2a, 0x9fe6b40a,
+    0xdc974e33, 0x79c690f8, 0x0818c697, 0xbfd0726d, 0x5b631598, 0x2ee6c2f0, 0xb726d656, 0x4d55f001,
+    0x2fa12010, 0xaddde6bb, 0x7a0b74ae, 0x80e7a3be, 0xc86d7bb1, 0xb68f7e5a, 0x0a6ddef7, 0x29b1a168,
+    0x86a08876, 0x3f91dbd0, 0x0b3b4182, 0xf56ba25f, 0xc4ff85a9, 0xb344edd3, 0xd15e63ad, 0x9dcfb3f3,
+    0x64d41edd, 0x58406ff9, 0x5792c695, 0x560577b1, 0xdabd36b9, 0x3c00764b, 0xd1b49555, 0xdd678dfa,
+    0x642f8efe, 0x66b485ce, 0xf91308f0, 0x404f00bb, 0xbcaa3340, 0xdebe9fa0, 0x6b453a71, 0x791e5e8d,
+    0x6f228f4d, 0xee79c117, 0xf2235d45, 0xc6abef3d, 0x316e4f57, 0x5f826e40, 0x0f2f01c7, 0x62a8dd0c,
+    0x4a8ddfd6, 0xda8d74a2, 0x1391c995, 0x97cec84f, 0x9861ce5b, 0x1fc785c4, 0x722f4fa8, 0x2814b8f7,
+    0x8aaa1015, 0xbd03eee7, 0x099450f2, 0x1c8d7400, 0xe0aa4687, 0xe916fb14, 0xa001f0f5, 0x1967c5e1,
+    0xc39aa3c5, 0xe3b72877, 0x17ba0a57, 0x6fdc926b, 0x5cf747fd, 0x9c8df18b, 0xf9d96589, 0xcc12c47b,
+    0x752615ac, 0x6afb0115, 0x87cea8f7, 0x8089ef78, 0x2eaadacd, 0xead9b24d, 0xf912036f, 0xbfdf3aad,
+    0x5a25a25e, 0x712677f7, 0x9fc07382, 0xc391bcf5, 0x054bd643, 0x53712763, 0x0abaca01, 0x95c02542,
+    0x9fe4b8a2, 0x46a14c1b, 0x1d7261cc, 0x0f8a844d, 0x2bedb74a, 0x9ffe222b, 0xdbd7d700, 0xc617f5dc,
+    0x6c1bcbba, 0xd6988c95, 0x9b7b09e8, 0xe508b377, 0xa514b647, 0x0cb42fc8, 0xb4305525, 0xa79180e5,
+    0x2c237de6, 0x82f96ad2, 0xab2364ed, 0x42f416e4, 0xc3e3d468, 0x23e04b43, 0xcb9916fd, 0x5da3e1f5,
+    0x11c63bdc, 0xb1c1d339, 0x90ad51e6, 0x0b452db0, 0x0ce23e83, 0xf8219739, 0x80f76c84, 0xb9208901,
+    0x382b4cbd, 0x8854f639, 0xca08d6c3, 0x9daa15db, 0x7fe0508e, 0x5d2e65e4, 0x5981d029, 0x016e309f,
+    0x8a378a54, 0xaaf60255, 0xfafe422c, 0x92ad9b9a, 0x29af4465, 0x7a6fb976, 0xa40c0668, 0x6f6bc388,
+    0x3deb2c1f, 0xa6c6dc72, 0x3d85121a, 0x06540d91, 0xb46412ac, 0x788c3576, 0xf77c327e, 0x9ae4e855,
+    0xdd772462, 0x8e839ee7, 0xd2d2a6a8, 0x95bdc8e3, 0xcff57672, 0x7329ecc7, 0x42a5c14f, 0xd82637ab,
+    0x88840bd9, 0x0a571081, 0x6f894d54, 0x3c8ae4ca, 0xa988c7c3, 0x7e2f4ef0, 0x9c904c3e, 0x9d577a38,
+    0x1d90068f, 0x6e84c51c, 0xd20923a7, 0x0ace8b8c, 0xcc628805, 0xf22588be, 0x339215f5, 0x761cc306,
+    0xc77040ae, 0x88a2f27e, 0x6dba75e9, 0x8a49a659, 0xc9026f1e, 0x10e017d8, 0x49182d34, 0xf46f3145,
+    0xee091f97, 0xf1a9df92, 0x2f284ecd, 0x032181fc, 0x56fdc832, 0xa8f77523, 0x11db2abd, 0x8dd7980b,
+    0x87e38351, 0x400b4dda, 0x35ece4e7, 0x6cc30f9c, 0x0cbbdbe1, 0xbfb9f56c, 0xf19e4784, 0x69a1c9ac,
+    0xba471ad4, 0x93f4e35d, 0x1c1afafb, 0x8598ef9d, 0xef39ed2c, 0xeb268542, 0xe8eb25cc, 0xa1e2ca42,
+    0xf2708600, 0x9988556f, 0x526d7f64, 0x6a4e9008, 0xa93ecf80, 0xfa6661a5, 0x870570c9, 0x28dddceb,
+    0xcb8dbe1d, 0xc60d4a32, 0x97979f12, 0x72504a0d, 0x303a6a24, 0x2067140d, 0x2b1a3187, 0x4c07b829,
+    0xbee22be8, 0x859d39ea, 0xbfe6fc3b, 0x69d4ccaf, 0x1abb2761, 0x842477cc, 0x4b3d6583, 0x721f27a9,
+    0xb9384087, 0x7dde2a69, 0x54577293, 0x47ae6605, 0x4af708f9, 0x6cc01c97, 0x866f5e5c, 0x6901087e,
+    0x5625322c, 0x1c589423, 0x3bd30f13, 0x31d15fcf, 0x0d251043, 0x9c58e077, 0x40909907, 0x2b5a08e2,
+    0xc1cdacab, 0x4042f8b4, 0x9eca8da8, 0x0a033def, 0xedd25f22, 0x81aced16, 0x26f2de46, 0xdb600067,
+    0x88ca1e51, 0x5c902d14, 0x5ecf46ca, 0x6174aaa4, 0xa2dcaabb, 0x9230402e, 0x13d0c113, 0x1c90ae3e,
+    0x3d461617, 0x40d43776, 0xe4189873, 0x040d10c8, 0x52acda86, 0xb044793b, 0xe24bc6e1, 0xed679a1a,
+    0x84953bed, 0x2df0e396, 0x7572992b, 0x0244a232, 0x3c1a1bac, 0xdf9bb5fa, 0xcd98cac3, 0x180fb26a,
+    0x086f4c48, 0xeec55ed2, 0xc2195a1f, 0x9671556e, 0xb40c2c06, 0x5e155678, 0x924e3096, 0xdc6038a0,
+    0xc631479e, 0x2e11a28e, 0x987bcf30, 0xeeb85a83, 0x3bf90d4f, 0x1442eec6, 0xb18b158e, 0x08de7cc8,
+    0x2216d7fa, 0x5b2a1175, 0x06db159d, 0xae9b2185, 0xc2c17988, 0xfcef0132, 0x3e999579, 0x5a5af693,
+    0xaf56be44, 0x09e6bfcb, 0x002174f2, 0x6812c356, 0x5b21d0e5, 0xb440e929, 0xc949aadf, 0x55912f79,
+    0xd6832994, 0x8d84165b, 0xa94e9f01, 0xf6ac3a34, 0xd5cc65be, 0x8cb0af45, 0xf1543f85, 0xc8396a06,
+    0x52e72e50, 0xb85d4dc6, 0x42e5ce0b, 0x00512d0b, 0x7817327e, 0x51f9c6a0, 0x102816c5, 0xe7abe352,
+    0xaa1ce1a8, 0xd11a301e, 0x32388dc1, 0xdcb2bf1f, 0xaec52f46, 0x73f39eae, 0x7e023d3a, 0xefd58459,
+    0xb870d852, 0xaae1e671, 0xf174fa54, 0x1ed47a22, 0x275c9c3c, 0x989775c6, 0xa9582180, 0xcc5cca2d,
+    0xdd0b3d41, 0x8003e3fc, 0xddac1f74, 0x5d9a99be, 0x8e95469c, 0x9252d08b, 0x67cab350, 0xab9ca3ae,
+    0x800f59d9, 0x94721eab, 0xee079d1a, 0x96dad13b, 0xacbc4903, 0x2ab7c35c, 0x170081f5, 0x275d1834,
+    0x4b241a0c, 0xc367043f, 0xca99a30c, 0x0227ceca, 0x4a29abd5, 0xa1430583, 0xb7b7e929, 0xa5e87583,
+    0x3de534b7, 0x12616a33, 0xc70efe43, 0xd9b576d4, 0x2050defc, 0x4c5c3379, 0xcf71b8c3, 0x097d5300,
+    0xc353962f, 0x3121f075, 0xaa3136ed, 0x488740b2, 0x2b03e0b5, 0xb162f74b, 0x8bb255b6, 0x61ad6216,
+    0x7d546bf9, 0xe935660c, 0xbdba8c7f, 0x0545a396, 0xd0f739ec, 0x24175233, 0xcddc449a, 0xa80c1a50,
+    0xf8b1d997, 0x87467604, 0x17a2be0f, 0x384bd6bc, 0xff0c7e8b, 0x8b716a8a, 0x7d8144c7, 0x3522fa89,
+    0x3fa5245a, 0x9558949a, 0xaa58154f, 0x93100a3f, 0x8ff4b9ec, 0xc4595a0e, 0x4bc05cab, 0x38f1f345,
+    0xfb20ee8a, 0xdb20b2b4, 0xd6f00f26, 0x66cf3e92, 0x3d967223, 0xbb484390, 0x64914393, 0xaaaf497d,
+    0x4a68fbce, 0x72c891c4, 0x5e6a2464, 0x7f85e6d2, 0xafe024e5, 0x1c59c83e, 0xb9b0dde6, 0x60ed6068,
+    0xe1e5e344, 0xd7992f41, 0xc4493a46, 0xb70ddd46, 0xf1151897, 0x09101670, 0x7ce2a107, 0x98368cc6,
+    0x0e277a15, 0x76fc776e, 0x8bf9e824, 0x3a5f67c9, 0x51ed13bf, 0x4151a306, 0x267e85e5, 0x7a974d09,
+    0x9cc4c355, 0x994d7e85, 0xf19fa88b, 0x3844d97e, 0x773a457c, 0xd9c81ffc, 0xea2e2872, 0xf4293e28,
+    0x939e356d, 0x874fb6ac, 0xbab999f7, 0xb273a04c, 0x8ca22f1c, 0x8a6827f6, 0x2cc47f32, 0xd733ab9e,
+    0x77b9acd4, 0x1f28a65b, 0x59795b3c, 0x2964c48f, 0x7663a97f, 0x48af1863, 0x90c454ee, 0xd4aa651e,
+    0xb40270bf, 0x4b4d1526, 0xea7a48f7, 0x774dcaf6, 0x52703b17, 0xef8fa81f, 0x962543fd, 0x209c6e14,
+    0x877c76b5, 0x439c52a6, 0xc9e7aebb, 0xaf778b3f, 0x6eeee7ef, 0x0bd0b1a4, 0x2c27b225, 0x498ac3b8,
+    0x068b6773, 0xa76e9857, 0x7d2f2c0c, 0x66535a7e, 0xa75e1c43, 0x194c354b, 0xf0441300, 0x08f25415,
+    0x8b717826, 0x1a132c9c, 0x52ed7fc6, 0x67c07bab, 0x026f9a29, 0x8a68ef7e, 0x246ca149, 0xb8e4d1f5,
+    0x7165acf0, 0xff9fe6c8, 0x8247a3ff, 0xfe1621ab, 0x3d1c9966, 0x503984e9, 0x2258769c, 0xb3257594,
+    0x234bac03, 0x44f1dc04, 0x5f4ac49d, 0x12fb0ab7, 0x144912fa, 0xd7bb909a, 0x8db1a91f, 0xd566fda8,
+    0x2c5e1c14, 0x172f5bcd, 0xffbe7f40, 0x3b24117f, 0xad67f2cc, 0xb599e128, 0x9520b505, 0xdd68c780,
+    0xf7f725fa, 0x58e75256, 0x46e2cb93, 0xd4cd4763, 0x6fa8e026, 0x875e4ff5, 0xf01971b7, 0xc8cfd4e7,
+    0x23c223f4, 0xba0023fe, 0xe620ad82, 0xc3d83245, 0x194c6559, 0x2d5e13ce, 0xb3aab949, 0xf1f052c3,
+    0x08eb1b09, 0x3cef4cf2, 0x644701b8, 0x73def0fc, 0x70266147, 0x5d79258e, 0xc0aa346c, 0x9ec40656,
+    0x028e37c2, 0xbec8faff, 0xba2dde87, 0x2b7c1a37, 0x1272d620, 0x45644dac, 0x1df1dd44, 0x71c4912a,
+    0x109ff854, 0x42b7292c, 0xa3bf165d, 0xa36885d2, 0xe5b7c55c, 0x5810ce28, 0x8f988582, 0xef344189,
+    0xd5becbf5, 0x3ff5e3ba, 0x520fc45d, 0x2d13d483, 0xa1581db5, 0x9e1efda2, 0xb434d2f1, 0xb0c98bde,
+    0x1b7bfb78, 0xafbc1b36, 0x24c8e8f7, 0xe1dc74d1, 0x430934ac, 0xcd953eee, 0x2bc503db, 0x8e00cddd,
+    0x1da834af, 0x72febb5a, 0x68b1e4ef, 0x2897be7a, 0x6a34f806, 0x1f66aac9, 0xcc560e10, 0x4c7ffe06,
+    0x03bbd10a, 0x6d0bfe52, 0xbe4ebf3d, 0xda6f43c7, 0x8aa8d125, 0x2323f988, 0xf8746cf2, 0x3d57d82b,
+    0xfe808dd0, 0xad5c928b, 0xc4d070f5, 0x6bfe052a, 0x7eaafadc, 0x720579aa, 0xac483c63, 0x726676e1,
+    0x163bcd4a, 0x5dbcc4c7, 0x0b0a5369, 0xbaf655a8, 0x268c6c86, 0xe475fcf6, 0xde7bb5e6, 0xcf7a4070,
+    0x4a9e8a95, 0xec37e37a, 0x9df4d500, 0x7e7ec1d1, 0x7e5aa0e0, 0x8e8ee54a, 0x731cf06e, 0x594b04a7,
+    0xd3769430, 0x3858764a, 0xb589b582, 0x427aebac, 0x00c1b275, 0xb83e4bd1, 0x263bd0b4, 0x3dd9ca31,
+    0xd26eef42, 0x35232709, 0xea0fc06a, 0x3f904b1b, 0x334d79df, 0x91e299ad, 0x5b5f3b10, 0x520196ca,
+    0x952a2984, 0x4389d341, 0x4fe07914, 0x5d118738, 0xa5060e10, 0x68645d38, 0x321982ff, 0xe130e531,
+    0x0f15219c, 0x17d73d41, 0xf984da1a, 0x1e583a74, 0xd7e238fe, 0xe0650f08, 0x464f04cb, 0x16498849,
+    0x2d503441, 0x2ba13835, 0xe829a84d, 0x92335b18, 0x2d4725be, 0x904f5661, 0x8b8b5f84, 0x424bb2c2,
+    0xd49fec5a, 0x4e4569bc, 0x5a4ce6df, 0x04d00b49, 0xe77c9158, 0xc3731adc, 0x9983075e, 0x665bc549,
+    0x6427099b, 0x5f40b4b4, 0xe911e772, 0x6e63b32a, 0xc5b642df, 0xda91cf8f, 0xce077eaf, 0xf7be0481,
+    0xae4675a3, 0x3bb93c1a, 0x3c8258a1, 0x2f21f046, 0xb076cb83, 0xfaea3459, 0x017c526f, 0xc7fd4350,
+    0x956a0be9, 0xeb0738ae, 0xfe2a1a2d, 0xfe293edc, 0xff33ed29, 0x7a704a17, 0x783f9949, 0x7673d54a,
+    0xbc907e70, 0x995b9827, 0xcf0dec9b, 0x480640ac, 0x5a27b6ab, 0xe12fc053, 0x44eb4c7d, 0xd2779a33,
+    0x2faee059, 0x5103e0e5, 0x4901c149, 0xb8af2c1a, 0x75857d62, 0x09e694dc, 0xe7c957d7, 0xa990cbcc,
+    0x0ea4189e, 0x5ad1b49a, 0x6a543c1d, 0x23ebf69e, 0xf7c7cf82, 0xfe6cef40, 0xfb28ee27, 0xe3e6783c,
+    0xc5aa2b50, 0xa7bf2118, 0x3b3861e7, 0xbafc0612, 0xa22b2b4a, 0xc7701d25, 0x91c0a0d0, 0xd679b5d2,
+    0x727934a3, 0xe159d0f0, 0x188b4a20, 0xd46eb409, 0x1984b6f6, 0x235237c7, 0x9c8134fd, 0xdeece95f,
+    0x3ac400a2, 0x348e6c70, 0x000d3b2e, 0x96264fa2, 0xc326259f, 0xea218554, 0x5c97c9fb, 0xc54d24ea,
+    0x21ee9770, 0x58fa1f0a, 0x6f40bc91, 0xa4baaf04, 0xf7783915, 0x807cd9af, 0x3d60593f, 0x12a98303,
+    0xe1f53521, 0x4e5804af, 0xd317dd33, 0x9466979e, 0x8bda6e7f, 0x1bb5c292, 0x14431899, 0x5aabcd6f,
+    0x187b35ae, 0x0dad400f, 0x5b022f81, 0x274885ea, 0xbc418f84, 0x292613df, 0x35c63db1, 0x38632a17,
+    0x9bdd5dad, 0x2e23f93c, 0x4f250168, 0x5625ec95, 0x35262926, 0xfe09e5e8, 0xcbdfc93f, 0x20864879,
+    0x2907c712, 0x2f3f9c16, 0x01d9d226, 0x3e95aa9b, 0x9bac8689, 0x1f64bdd6, 0x1f44420a, 0x8ad78538,
+    0x22c40769, 0x98ffc22d, 0xe1ca6faf, 0x0135bc7d, 0x6ffaec7c, 0x1cfa7e1d, 0x9103cda4, 0x18d00cd9,
+    0xfdae16c4, 0x6fb9587d, 0xe1ec0a2d, 0xd7e32cdc, 0x7fc4bc1a, 0xd62447e9, 0x4c7441e2, 0xd0a09ef1,
+    0x3f289fcc, 0x4b9a2ae3, 0xa1a608aa, 0x7e60d08e, 0x1a0d1c1e, 0x60a8a641, 0x559e2fcb, 0xd51167ea,
+    0xc40b179c, 0x9abb727a, 0xd968c571, 0x44a55cf3, 0x255f5b36, 0xc56fa181, 0x23c9af0d, 0x42d6f1ee,
+    0xccab5d14, 0xbf823917, 0xfcba8e5c, 0xf9d7d675, 0xe3439c42, 0x32e92890, 0xbc4463b2, 0xcd765a16,
+    0x8e5bd27b, 0x6899a9eb, 0xdbde5544, 0x8fed8f6f, 0xe4d86402, 0xeb8a65e1, 0xdfb57e36, 0x6f0489a6,
+    0xf0bac093, 0xe3ead74e, 0xed6c6957, 0x1038d18c, 0x8d1b46bf, 0x5014e797, 0x0b7a8928, 0xe7c3aed7,
+    0x04e19ccc, 0xb92a7404, 0x7acf528f, 0x4207418d, 0x606552f4, 0x798e821c, 0x5c8f8451, 0xb8b6c2d5,
+    0x57ab8b4c, 0xc630d2f2, 0xdba7588d, 0x4921ff76, 0xd4b5a0c0, 0x77c2f159, 0x462f5cfd, 0x51daf9ed,
+    0x08c32600, 0xf1dc42b0, 0x97d08002, 0x2e7af1fc, 0xcea42c3f, 0xb39326e5, 0xb3ebbfe6, 0x977ad897,
+    0xbbf61699, 0x24c617f8, 0x0afa8383, 0x7d416ba9, 0x87b8b26a, 0x03e0f491, 0xee611f66, 0x3281734a,
+    0x1aa7242c, 0x5e99b905, 0x0721c67d, 0x2d253ca9, 0x1485cfbc, 0xd15e284c, 0x5ff6623e, 0x43e19e2a,
+    0x12687bd3, 0x0f13b934, 0xc895fe75, 0x9c2b2bb5, 0xd32118c5, 0xc0547c37, 0x68bd0094, 0x9012c729,
+    0x47858937, 0x1d52e66b, 0x4f1bb86b, 0x6553aa73, 0xadc33f95, 0xedc00cf2, 0x50a19d74, 0x4d0150c6,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000021778071482940061661655974875633165533184 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa6, 0xd7eda66b,
+    0x00000000,
+    0xd19d4515, 0x09f4842c, 0x3d419e74, 0xcedf69e7, 0x556d10ca, 0xf4822986, 0xeb3f7720, 0x632bd1c4,
+    0x9ed278b1, 0xc0738a23, 0xd6db5186, 0xe709dfda, 0xde0ca287, 0x51e92947, 0x272c03e7, 0xd23651d1,
+    0xcbac79b5, 0xd9d2718b, 0x773005b6, 0x709fcbbd, 0x85c794ac, 0x6909b0c6, 0x4a57253b, 0x28daf0a4,
+    0xd3ca8806, 0xecab829e, 0x4eb24a4d, 0xf7ce5537, 0x1769df95, 0x9440a8ab, 0x7b780aca, 0xad18c30e,
+    0x243a78fe, 0x37797d07, 0x1a677950, 0x34dfe924, 0x40292a9d, 0x3c62d431, 0x885dbc52, 0xb05d1f77,
+    0x0ce3cd25, 0xc1030592, 0x3bae75c1, 0x80ab1102, 0x48513118, 0xc34a5084, 0x3e3db9c4, 0xfc78da6f,
+    0x1e96cb59, 0xd8dc01ac, 0x474369c8, 0x2650f220, 0x10a50426, 0x280091be, 0xb08dd513, 0xc476a069,
+    0x1f199900, 0x3ac65dbf, 0x663426a2, 0x2f817975, 0xd6224f58, 0x019c4cad, 0x0244e415, 0xb99f116f,
+    0x4da616a2, 0x6b0c2528, 0x81ebf960, 0x99bc8a31, 0x7a08602e, 0x6a782c87, 0x82473d81, 0x4a42e769,
+    0xcbb67b6d, 0xa5249460, 0x5e1019fc, 0x10457eed, 0x558a26fc, 0x07eb0f84, 0x759bc16a, 0xd43b21f7,
+    0xf2b63df8, 0xa4027ac0, 0xdeeca9d0, 0xd2f9b250, 0x5910262e, 0x010aa767, 0xf8a0ed25, 0x6ae5137b,
+    0xbda592e7, 0x32873ddc, 0xafaa36da, 0xeb731a29, 0x33579af8, 0x3ef59bdf, 0x229fccdc, 0x482f6ceb,
+    0xa17cc8f9, 0x7ebd7ed7, 0x79d33f55, 0xf3738f3e, 0xd551058f, 0xe8d52bee, 0xbe056919, 0x7abcfb7f,
+    0x99f0a21b, 0x7f0d16e9, 0xbe881832, 0x96870e3f, 0x9184dbea, 0x9d416812, 0x735b0c86, 0x782ce5d5,
+    0x61f8ab45, 0x9bba3586, 0x678e9b0c, 0xac589a39, 0x642d60c8, 0x42fe58f1, 0x9271fea3, 0xd0e9da60,
+    0xbe8c68cc, 0x09b22511, 0xb3f2e501, 0xe232f156, 0xd1ca7d9c, 0x5a5766f4, 0x11238a4e, 0xa2c06dbc,
+    0xc0c2ca8f, 0x91c5db80, 0x83b4a386, 0xabe62281, 0xca767b26, 0xbe1d0a88, 0x044eb1b2, 0xb6d2406f,
+    0xdc7e5f61, 0x454bf79f, 0xad3182f7, 0xbf63ad42, 0xd5c8996a, 0x376af564, 0xf1ca2c4d, 0xf7e2e4c8,
+    0x1254648d, 0xc00c1c38, 0x73fd56c5, 0x987f569d, 0xb4799f49, 0xbc14778e, 0x0fdd0e78, 0x035bd9be,
+    0x04f92d1a, 0x8f34ec16, 0x5828b5ac, 0xe1e683aa, 0x03a34440, 0x2e1e04fb, 0x11c24798, 0xb690a196,
+    0x20747e73, 0x40b4baf7, 0xe5311770, 0x2ec75987, 0xc11238fe, 0x8c1f5735, 0xc3bbc269, 0x310ff435,
+    0xa39ecf8b, 0x1b0edd11, 0x193d2300, 0x9284a836, 0x15fd1ab0, 0xa3fee03c, 0x5e2a1593, 0xcb313dae,
+    0x51cc1382, 0xf5d5c51b, 0x1f9929ea, 0x23f9dd6f, 0x455dc325, 0xd9ad89dd, 0x98675d18, 0x0ccdfd17,
+    0x64c4e5ea, 0x6e3aa14a, 0xf9eb5041, 0x683fe8a9, 0xab4cf101, 0x87b65e75, 0x557db641, 0x14cc4de3,
+    0xd0502c71, 0xa8e54f50, 0x55f0c261, 0xb233693c, 0x82ddfb89, 0xdb5df511, 0xffa22457, 0x9165ed10,
+    0x71459af6, 0xfca0f2a2, 0x0e74b8b1, 0x1178c115, 0x439bfc65, 0x2412dad4, 0xd4477a8e, 0xe978ceab,
+    0xf3235fd1, 0xe7ce5d1f, 0x5b4ef103, 0x9d5fabd0, 0xf9235fe9, 0x5cb8017e, 0x567bbcf7, 0x0034360f,
+    0xe65640db, 0x64bc6f28, 0x64fefba4, 0xdabfb74b, 0x99abab6d, 0xcb085a89, 0x5a445127, 0x7b8fdfd1,
+    0x9cbaf970, 0xda5efb06, 0x081ed167, 0x06a9dc04, 0x26306c78, 0x16b12caf, 0x7d760d4a, 0xed87813e,
+    0xbd60b704, 0xfe6d4eb8, 0x1fb495a7, 0xbeb5608a, 0xa9cf908a, 0xd9f04666, 0x7f36f880, 0xbae020fb,
+    0xe86e6746, 0xa8ad941b, 0x2dfabfbd, 0x8503fc4e, 0x58fb9fd3, 0xa0cb39a0, 0xad6607c1, 0x5dbb96a4,
+    0x319b2661, 0x9d870bbb, 0x4f2fbdd8, 0x09cabce7, 0x4e9c48f7, 0xe2794723, 0xd927d291, 0x3ff8a3ca,
+    0xe6909d31, 0xbaa5ddcd, 0x490cb04f, 0xff581746, 0xd98ac4ae, 0x6f54210a, 0x495a1345, 0x65169cde,
+    0xec2ea9d8, 0x5dbec57f, 0x1058d868, 0x10331657, 0x23617ec6, 0xcdc7ec70, 0x4dca379b, 0x00460c58,
+    0x6e47bcb6, 0xe0b8f206, 0x1e5d50b0, 0x4daf4a23, 0x1ecb064a, 0x659ffb99, 0xd8cedd7b, 0xd085ad17,
+    0xbd705846, 0xb366db57, 0x747c8400, 0x54108bd1, 0x11103739, 0x74870b4a, 0x9100dcac, 0xb696c9df,
+    0xa6b0faa0, 0x1fff459f, 0x5b7ca013, 0xb61f9f3c, 0xc6b09db7, 0x928d7305, 0xc2e83069, 0xb8003551,
+    0x618219d6, 0x059e30bf, 0x6a0d095d, 0x963bdaa3, 0x21106c36, 0xb31de710, 0xdef00cf0, 0x10bdecfb,
+    0x8df5583d, 0xb905175e, 0x716e98ba, 0x7c59438a, 0x9269de77, 0x1344d95a, 0xe30bf5e6, 0xb3628ef0,
+    0xb809e896, 0x45642887, 0x6a65caa3, 0xadca163e, 0x3e260efb, 0xfb568bec, 0xb9f10ba4, 0x4a152a32,
+    0x8cc8fd41, 0x2e38cdf3, 0xfe1d29cd, 0x747c07b8, 0x10872113, 0xd43821ff, 0xa229d725, 0x0c7b0088,
+    0x8681d2bc, 0x1fc72dd6, 0x5d39118c, 0x03255d97, 0x744aae19, 0x86604bd4, 0x7f31567e, 0xb8147895,
+    0x15c2f88b, 0x3db01895, 0xb17a154b, 0x72626f57, 0xf4a1ff05, 0x16837aa9, 0xbba0c86f, 0xd05d3976,
+    0x8d11158b, 0x5d96f54a, 0x2be6499b, 0x76ac88a2, 0x4d039f30, 0x947b4552, 0xab04ebfc, 0x87801ae8,
+    0x04db0bf8, 0xa9f708d5, 0xb3dc1f86, 0xe3d20a6c, 0xeefa8258, 0x3a5dfb56, 0x8dc3fc39, 0x82e4402f,
+    0xea5afae4, 0x5407dcfd, 0x66ea0694, 0x9fcf8fe2, 0x2f57d275, 0x43614b7c, 0xf22970cf, 0xbd5f37f0,
+    0xd28b68e4, 0x30d455e1, 0x561fb221, 0x34aaf83d, 0xee8da40d, 0x1ebf326c, 0xf43473d5, 0x0fa29466,
+    0xbdc7002e, 0x56fd5f96, 0xab1232be, 0xef2de41d, 0x46705d34, 0x7d467acd, 0x863d9472, 0xc1824141,
+    0xad41810e, 0x5de4ffd7, 0xc32e9c33, 0xb35d1e0c, 0xeb4fe584, 0x2e322b5c, 0xbb47a18a, 0xa556addc,
+    0x798177b6, 0x625a632b, 0x16965fb2, 0x3e20af90, 0xd332ff86, 0xf7749376, 0x8bb22cbf, 0x94a21c32,
+    0xb03bab45, 0xb33e5b31, 0x2df62a6b, 0x140b8e6b, 0x0d67ecbb, 0xe82b2f3b, 0x9bbce7db, 0xa0d0ad2e,
+    0x9532ba7d, 0x0186851e, 0x0d1bf6b4, 0xe36b2603, 0x454fb235, 0xcd6f4d39, 0x70bea2a1, 0xd5de4cdf,
+    0x86b63c4e, 0x87a9489f, 0xffbb257b, 0x1295bc29, 0x9b44ba20, 0xa7f31771, 0xf33d29c5, 0x488c96a0,
+    0xd9690b66, 0xec18bb09, 0xe9c4e66d, 0x5aeda779, 0xf7876f4b, 0x63836b4f, 0xcc84b3df, 0xac9faef8,
+    0x51c89e6e, 0xc4d98914, 0x8aa8ead8, 0x2e1e7ea6, 0x164cbd33, 0x70d766a9, 0xb8c4589f, 0x477dae9a,
+    0x40b9777f, 0xf593ff1f, 0xc8b12334, 0xa4881a07, 0x230a14ff, 0xfa73d4d4, 0x30bbfc19, 0x99467438,
+    0x453dea07, 0x7883602b, 0x6c4cea17, 0x07928cf4, 0xc36f8b65, 0x4fa5ff81, 0x96cd1a41, 0xa4c4cf83,
+    0xb83738b1, 0xec425e41, 0xaa81920d, 0x281d1cda, 0x36749345, 0xda6269de, 0x9ad57fea, 0xc7cfada9,
+    0x6e2ce73d, 0x4ad734b6, 0xd8d6e0ed, 0x8402787c, 0x35369d5e, 0x421366e4, 0x0a876b14, 0x628bb3dc,
+    0x17361b76, 0x6a7ddc75, 0x07e96b1e, 0x43bc4839, 0xc7dc159c, 0xfc3127d8, 0xd8c9d79b, 0x7ef6b751,
+    0x5d4a3e05, 0x0c4a898c, 0xcda3c5d8, 0x2b058fd8, 0x1635132b, 0x8d9edc33, 0xdea7d04c, 0xc77f0e35,
+    0x0d953d8b, 0x7ffbbeee, 0x002274e6, 0xbb40ea6b, 0xa82c999a, 0x3f4b464a, 0x1f360a75, 0xb5dc5316,
+    0x7aaf9b10, 0x1b6eb45e, 0x75a72f9e, 0xbdc78c2a, 0x0fce27c6, 0x021f5dba, 0x5ab0c11c, 0xe1a94480,
+    0x9d65d5e9, 0xeb805bab, 0x4704e07b, 0x950e8123, 0x04dfc4bc, 0xbeec4604, 0xa01bb56c, 0x554b7406,
+    0x646d5729, 0xe779124a, 0x791345c2, 0xea90d56b, 0x3b6b638b, 0xcb4a657d, 0x1a2bd59e, 0x405664ea,
+    0x073654c3, 0xc29ea2ad, 0x4a4bf414, 0x265bfa88, 0x5e1ff0f9, 0xadbfb5e0, 0xd3c0f04c, 0xdde860d0,
+    0x83868bfb, 0xce4baa4f, 0x92ec921b, 0xc38159db, 0xc4847e1e, 0x599d24f2, 0x91c8e7c9, 0xbce5a19f,
+    0xbd408deb, 0x4d21dba2, 0xb19e2e0a, 0x014e1748, 0x48e97917, 0x4cc80f0e, 0x18628e97, 0x080bb698,
+    0xd53c9e22, 0xd85cbe2f, 0x64f07b55, 0x4b246752, 0x6837f124, 0x7d010e4d, 0x2b66efde, 0xbeb80876,
+    0xadb3c570, 0x40e0b339, 0x5a41fd63, 0xb7edd21c, 0xe4c7e9eb, 0xe45fc5c2, 0x5b864bc9, 0xf32b9caa,
+    0xd8489d1f, 0xc47dd81d, 0x54d0d9f7, 0xc2907bb2, 0x536b9e53, 0x69950194, 0xdff0f5bd, 0x716c8406,
+    0xdde0688f, 0xdd3a7bbb, 0x88480500, 0xc2b1f93b, 0x7ef43f1c, 0x887a8943, 0xf27d02bd, 0xa4230141,
+    0xf46bd82e, 0xe4b96c7e, 0xc667faa2, 0x906cf745, 0x6ea1ab20, 0x559d9b5d, 0x33b5c0ed, 0x1025276c,
+    0x1ee4ecb5, 0x5f01837c, 0x9f666903, 0x65a47890, 0xe42565b1, 0x31e8cc2e, 0x7566eb44, 0x6c383809,
+    0x6bfaad71, 0x061a7f0a, 0x44deac5a, 0x71751f4b, 0x3229f2e3, 0x44092a4d, 0x9f4e47d0, 0xb2fa4029,
+    0xa36ed8e1, 0x1008c503, 0xa4bb4b9e, 0x804a08d1, 0x2bd8c258, 0xadb56920, 0xbaf5c9f1, 0xb0dbd09c,
+    0xf32c6390, 0x510a080c, 0x9ed5123d, 0x34a71787, 0x27f0d1d2, 0x7e343bf8, 0xd767f14c, 0x4af32b2d,
+    0x50382832, 0x2ab9ce54, 0x9a13433d, 0x725e56fb, 0x0deebbbb, 0x8dd2f13c, 0xf1efe1f8, 0x629b37de,
+    0xc96673f8, 0xe3a9664f, 0x86ba3553, 0xa9481bfa, 0x4b2fa870, 0xeecac7b0, 0x1fc8d8d5, 0xc6245e9a,
+    0x4320ce93, 0x09acdb91, 0x9ad00276, 0xa3b40c2b, 0xdcac5203, 0x0039236f, 0xf410d2c6, 0x4cffe451,
+    0x21b08c85, 0xdf96e770, 0x1c195963, 0xd7e7a183, 0xf9117208, 0xa8a58a8d, 0x8e22a291, 0x08e45649,
+    0x030cc661, 0xf99e8e12, 0x9d9c5246, 0xeea72d19, 0xac70b758, 0x7fc75e91, 0xa41457d5, 0x3753bc8c,
+    0xe6fee9e8, 0xd5759222, 0xb76c48b1, 0x16a1573c, 0x505f4dc4, 0x03a3a78b, 0xd7c11855, 0xdff2a3bf,
+    0x8ee2d37c, 0x3b718777, 0xe2f2c29b, 0x0df2f84d, 0x53d3833a, 0xf68ac829, 0x4f494052, 0x146c1603,
+    0x860b283d, 0x261bec09, 0x1dd90a3b, 0xe698e29d, 0x970eaebf, 0x66b81d11, 0x989c09e8, 0xc696c80c,
+    0x3bba4719, 0xd8e730df, 0xb689868a, 0xae784660, 0xb712894d, 0xdf3036b1, 0xfeacf9ed, 0x0434d154,
+    0x77e6c9b1, 0x2198dc93, 0x85e3d408, 0x745aef2a, 0x4fba58ef, 0xf87e4ba1, 0xa6a49ae4, 0x81eaabc9,
+    0xa92a8ba5, 0xeb27d76c, 0x4b04a1c0, 0xc705563a, 0x6339a2e2, 0x33942d31, 0xc0c59160, 0x596fc313,
+    0x92e991fb, 0x5de11648, 0x2ef0ab64, 0x669beac6, 0xcba11899, 0x6f8d9096, 0x69858ff0, 0x2240ff8c,
+    0xd1f7523c, 0x76b5373c, 0x3a929372, 0xea9ca388, 0x748910d8, 0x3ac81fcb, 0xd47eb1c3, 0x4c50e350,
+    0x83aa9c3e, 0x5a88b7ce, 0xaa475678, 0x266e60d2, 0xdeb0f016, 0x40557710, 0x72d32699, 0x08232c4d,
+    0x9e8a8ff9, 0x849e8198, 0x2aca38ea, 0xcf66882f, 0x6bad7e0c, 0x6d494086, 0xa3e20f53, 0x0441d318,
+    0x9a6e52ab, 0x5852f0b6, 0x29712f12, 0x77af1088, 0x2f672240, 0x3de375c5, 0x9f7f8971, 0x1869b777,
+    0x5f9a0a6e, 0x24e55345, 0x4ac31555, 0x9f1ed963, 0x34deabd5, 0x9de6aa74, 0x16b9e0d7, 0x16fa709e,
+    0x3d5fa581, 0x35d8f090, 0xad66ee27, 0x0b329008, 0x6bf22c97, 0x381b8acd, 0x3a5a9a60, 0x960f710d,
+    0x55337d7d, 0xfa20ec10, 0x582a262a, 0xb0cef28b, 0x88f6ca4b, 0x01f7c705, 0xd2ad5690, 0x75ea91a4,
+    0x6aeec27f, 0xc3a007ee, 0x3268923c, 0x123d465e, 0x9a6860e6, 0xfa0dad98, 0x82551205, 0x46a19fd5,
+    0xfa115df3, 0x47e316c3, 0x6ca5239d, 0x25925425, 0x6411cf11, 0x0dab3c77, 0xe4def60d, 0x3a9b0efa,
+    0xa6dd1527, 0xfb4619f2, 0x78c7d743, 0x0fd5672f, 0xf1ad9aa9, 0x6c8a9607, 0xbc2484ee, 0x89187edc,
+    0xb23a7122, 0x29f6da43, 0x1b3415d6, 0x970cd569, 0x9dd0e179, 0x660c2d18, 0x4496cfce, 0xe4b165cd,
+    0xc0e79f18, 0xffa76b2f, 0x9b1f298a, 0x5cf138b4, 0x201477ba, 0x389e4541, 0xfc2b8a8f, 0x9c83da75,
+    0xe704837d, 0xc96a90d2, 0x938d44cc, 0xc88f8647, 0x500febc5, 0xa922199d, 0x9dde21f4, 0xeff5c4b1,
+    0xcc07fe55, 0xc57ba10e, 0x14db0cb5, 0x015901f9, 0x79d3b4e2, 0xf722dc88, 0x5e5a425c, 0x3fc5d4a6,
+    0x296a3bf6, 0xfcd992f8, 0xa4e49f72, 0x3833c08e, 0x8cb276ea, 0xcfcc662b, 0x7035f738, 0x8bdb34a5,
+    0x1eb5ffc0, 0x88389ee2, 0x4d61254d, 0x6b1f431b, 0xfd7f2723, 0x029618d6, 0x23c0005f, 0x35ba992b,
+    0x85f79707, 0x112dc244, 0x3bb827b9, 0x45fdeb69, 0x719db083, 0x03770f91, 0x8e879018, 0x06d24917,
+    0x99836f31, 0x4873de98, 0xc8533cf6, 0x34fdb237, 0x0833636d, 0x6ed21375, 0x954fecd3, 0x19d59fb8,
+    0x99a26100, 0x99ad55fd, 0xabbf6290, 0xd2853963, 0xd86ca5cd, 0x39484ead, 0x1cf58477, 0x0dbacd4f,
+    0x8565ee51, 0x8738dca0, 0xdcb46394, 0xb3dbee16, 0xfc18081c, 0xa07c59bc, 0x4ed9d895, 0x22716db0,
+    0xffcb18a8, 0x7bfd53c1, 0x6f43c0e9, 0x1f88ba3a, 0xd6d396fe, 0x5f5c7ac8, 0x1d89db48, 0xc4b6d0aa,
+    0xf8d53511, 0x33627b9a, 0xb82bed18, 0x4608d2fc, 0xfb17c724, 0xe63b0ba8, 0x577f69fd, 0x5f2a2791,
+    0x741e8ab2, 0x4aad5d19, 0x0badae66, 0xb042490d, 0xed8d8724, 0x69c81156, 0xac3bd26f, 0x1f651e4c,
+    0xca411b3b, 0x5947ce8f, 0x25b8eaee, 0xb48b5ded, 0xc334fc67, 0x034ddc62, 0xfd36575a, 0x3c132c22,
+    0xb2369214, 0xd7617d6d, 0xcc41dc27, 0x125b60d5, 0x2fb1ceb9, 0x98a864e2, 0xdb69fcec, 0xa5fb59fc,
+    0x2de36592, 0xb7c41c74, 0xdec15d16, 0x410d9d1f, 0x36d7b7ad, 0x7caa1f44, 0x44d21209, 0x1df1a984,
+    0x997ee15f, 0x52690280, 0x70a2dba2, 0xd3d19159, 0xf55cec70, 0x7f9dcf77, 0x90a5a501, 0xdbe1b27a,
+    0x09924c92, 0x3e95622c, 0x45585d5d, 0x816874e0, 0x737e57be, 0x78a6efbb, 0xcaeb0f66, 0xcad963b9,
+    0xab9490ef, 0xc7cb8c6b, 0x00c6453d, 0x3c8d98f5, 0x8dededc7, 0x23aa07de, 0xca07e1db, 0x8f6cd2d6,
+    0x7cb24848, 0x66a4e1b8, 0x668aa8c9, 0xfc6d7327, 0x74901a3a, 0x5fab647a, 0x64646671, 0x7883610b,
+    0x683fa5f5, 0x1e2394ca, 0xc8eafd52, 0xb253ea81, 0x0e262654, 0xb77a140a, 0xd5cbb7e9, 0x2cf36a07,
+    0xc7c72e59, 0x4f2f3f82, 0xbdde9e1c, 0x7b1060ad, 0x4b9ba661, 0x572a6824, 0xe5106bca, 0xc4e097e4,
+    0x690d0c8c, 0x28f315ba, 0x75e17278, 0x7f3a3ee6, 0x60e19057, 0x3aabf4ac, 0x3a4c681e, 0x45fb008f,
+    0xeb9410f7, 0x93ad26d0, 0xac1f7194, 0x34730001, 0x7371cf16, 0xee57c32b, 0x208122be, 0x6fd1bc5d,
+    0x1b5f87ff, 0x289fe90a, 0x7e394faf, 0x5c1eafc4, 0xee88e5f2, 0x82e105ce, 0xb4c1b309, 0x89b83800,
+    0x590e8845, 0x6607bbd4, 0x17946ec1, 0x03bb6d07, 0x7ccfb53a, 0x6b064807, 0x03cdebad, 0x363e9dd6,
+    0x66f92bf8, 0x0d19f9a3, 0x5c5c6820, 0x3954ac01, 0x8bad5bbf, 0x284720e3, 0x0b836f7b, 0x4a45e779,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000010889035741470030830827987437816582766592 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd3, 0x6bf6d335,
+    0x00000000,
+    0xa3ccf3cb, 0x6ff68e11, 0xf53f73ba, 0x9b38b98c, 0x89d38c37, 0x53563af9, 0xab997346, 0x1eb6ea21,
+    0xeecf0a4a, 0x3edafd89, 0x97bb652a, 0x6f4eefc8, 0x7b268039, 0x66ff3232, 0x571d012a, 0xef587792,
+    0x1f8ff7d6, 0x7abce3db, 0xf7f867e1, 0x7c11a43d, 0x2c2afb07, 0x8f3bce4f, 0xef952526, 0x264fc974,
+    0xc1459c60, 0x2d4552f9, 0xc53d3b56, 0x7aa36f2a, 0x0778a8b1, 0x95e690b4, 0x040c5d6e, 0xfbf4a8db,
+    0x462832ca, 0xa1804793, 0x0f352dda, 0x7b98f2bc, 0x8869b6a3, 0x3ed187ac, 0x40ae5b65, 0x65958250,
+    0x61ab8fbb, 0x66d3e5dd, 0x0ff9600f, 0x837119b1, 0x37738517, 0x5c0bab2c, 0xef686164, 0x2740666a,
+    0x60e559c2, 0x863a0eed, 0x0e4ed324, 0x0a1d0e41, 0x5c933f16, 0x3cfb86aa, 0xc2fd3fbb, 0x04a439fa,
+    0x4ef41d08, 0x0d85851e, 0x6f8ebcd5, 0xbb82272c, 0xd6544d41, 0xd647cf7e, 0x1195e748, 0xda1a1016,
+    0xf2ef76d2, 0xa492d2a1, 0x6f27c94e, 0x24b4f74b, 0x48a54bbd, 0x36d0e298, 0x08300eec, 0xf39d5234,
+    0x87212615, 0xf56ae766, 0xad3b0b2e, 0xf168e4eb, 0x1f526d0b, 0x963c62ea, 0x441706b4, 0xcf2a6cbc,
+    0xd3f74957, 0x28c802e2, 0x060e510b, 0x32cb7089, 0x5be1ba46, 0x539e64ac, 0x466edc68, 0x805445ab,
+    0x462f890b, 0x13df80b4, 0x76a21a50, 0x8a97ad9b, 0xfae0283f, 0xa8bd21af, 0x48ed9c53, 0xf74cb433,
+    0x2bcc7c96, 0xbab4fdaf, 0x3f12a5d8, 0x6430fb86, 0x7fb4366c, 0x438b9bc7, 0x0327e0ce, 0xcaf85c9b,
+    0x04cea5da, 0xb83b5cdb, 0x01a084ab, 0xbfeafee5, 0xc1bc0d5b, 0x9f522bdd, 0x1c0814a5, 0x44215f34,
+    0x4edc320d, 0xad0104f8, 0x162f9caf, 0xe8f577d0, 0xebf0b6fd, 0x5e7ed415, 0x32204f93, 0x4562167d,
+    0xed11670c, 0x37ad4471, 0x10b8c6ac, 0x889cb759, 0x744088b6, 0x96f29a5b, 0x7a345447, 0x24db888d,
+    0x0048cfbb, 0x74e31172, 0xa971a558, 0xc211f7d7, 0xf8503248, 0x66d3492e, 0xd8ee989f, 0x58a7d86e,
+    0xe2ef448c, 0x0ab2be14, 0x717fa422, 0x82bc0959, 0xb5f86f35, 0xb4ae8101, 0xbd77246e, 0x61af20d3,
+    0xedea352b, 0x706d6318, 0x87ef643f, 0x183696da, 0xafe9c935, 0x17c3fa25, 0xab101803, 0xd72ca6e1,
+    0x756c39d5, 0xd52aab26, 0x9429eccd, 0x7d4be363, 0x4400967e, 0x69c34e0c, 0x6ad35bfd, 0x0caf44b1,
+    0xed52e303, 0x4f424480, 0xbe17a4bc, 0x0a53f85c, 0x2a84f4a7, 0x7d0a37ef, 0xc015bd9b, 0xee8cbf29,
+    0x096feeea, 0xe1564c62, 0x279d3978, 0x89e33720, 0x7ae03a72, 0x7c5ac493, 0xee41c157, 0xddd605c8,
+    0xfe2f11a9, 0x9b5d4a1f, 0x83b4d686, 0x32f1f11a, 0x3e7e31fc, 0x54e402ac, 0x871bf34b, 0x020baeac,
+    0x0f74a086, 0x4511ae63, 0x948ee4dd, 0x3755560b, 0x2eb67ca6, 0x1eadf4a1, 0x4d05eacd, 0xb5c74d15,
+    0xf41a2c47, 0xc559103d, 0x6ffcbf43, 0x238a8f31, 0xe7e4874d, 0x4d85f75a, 0xd64f9031, 0x95c6c237,
+    0xb3e77de5, 0x965a9182, 0xd97b8378, 0xbe765a7f, 0xc593b994, 0x23e23e33, 0x62010681, 0x28046c9e,
+    0x9acd1091, 0xb8fbe223, 0x3f753102, 0x91b7aaf8, 0xeddd28b4, 0xcebeecd6, 0x74f06f27, 0x33cc2074,
+    0xc526b76c, 0x85650d08, 0xb631c48d, 0x791aa2bd, 0xc32b468a, 0x2bd7ef4f, 0xa8db2330, 0x0f661bcf,
+    0x2914cc44, 0x314a340e, 0x702f2e18, 0x8c69c505, 0x4a3ae73b, 0x9d923a15, 0x402c3743, 0x3c38cb85,
+    0x6c729320, 0xbc4089b2, 0x233ecfbd, 0xe356a80d, 0x9dc6926d, 0x8f3b2dea, 0xe4af982b, 0xfb46797e,
+    0x1753735e, 0xc19e4aec, 0xad83b835, 0x7385c88e, 0x410eca9f, 0xa39f727e, 0xe35bbea8, 0x9a7be494,
+    0xc8e7bae6, 0x0d2d04f7, 0x7f7be768, 0x94f710bc, 0xc9355a44, 0xd7741a8c, 0x9b69e1a5, 0x1959d8ce,
+    0xe2f9aed7, 0x75e415ce, 0xf61c0651, 0xdac78124, 0x7dd9bf8f, 0xc9d61ebd, 0xe5b0a044, 0xf7ebf70c,
+    0xfa7a4a0d, 0x4e34396b, 0x212e421c, 0xa2d7c55a, 0xaeabc424, 0xa445255b, 0x3f91c098, 0x9c573185,
+    0x1609284e, 0x484283b2, 0x7901e891, 0x1c868b46, 0x8a2e5dd2, 0x424e963b, 0xec5b4469, 0xa6aa5510,
+    0x98f621d8, 0x90d5f571, 0x0abc7dcb, 0xd1459cf4, 0x83369fe2, 0x8d04ac88, 0x46d9c3f3, 0xf4521102,
+    0x1e0e4bcc, 0x0c464812, 0x99e1b34e, 0xcbef1c51, 0x274deee6, 0x2e4351c4, 0xf9ffdf3c, 0xb2a64447,
+    0xb5c39f1d, 0x1ea2098a, 0x1b656913, 0x4102f614, 0x7f221953, 0xfd57d41f, 0x4b7e9ccc, 0x4b48b6e2,
+    0x98e66b59, 0x38002786, 0x4f529c79, 0x1176b06c, 0xc821b8c7, 0x078756d8, 0xdf5c4de1, 0x055d927c,
+    0xbe3dde13, 0x17cd693b, 0x2b069a3c, 0x8751dc6e, 0x0b4eabbf, 0x58186af0, 0x4e2fde93, 0x4052b44c,
+    0x57ce1a56, 0x9dd90b11, 0x1d39e330, 0x43b0fb0d, 0x240958e5, 0xc82c4a0a, 0x107bc479, 0x4cf90ad8,
+    0x57ee3372, 0x823c8234, 0x93c5fc63, 0x06e1f47b, 0x9374723b, 0xda40b7ab, 0x32d54812, 0x94e4d68d,
+    0x6de718dd, 0xe154c065, 0xe18f1229, 0x1ef23e5c, 0x825fbbd5, 0xe8b6ae33, 0x4e0c4e1a, 0xe60fbd30,
+    0xb017226d, 0x0f9fc5ae, 0x1204f436, 0x4e1225f7, 0x1577b475, 0xfb95878d, 0x224b1e5c, 0xcfd73095,
+    0x95af11db, 0x7e794aac, 0xa86f9490, 0x2750db41, 0xa4c990c6, 0x32c24920, 0x22969c33, 0x41575fed,
+    0xdd3d9d63, 0x223b7311, 0xe7160235, 0x0271a6cd, 0xbccde671, 0x50a091e7, 0x91443672, 0xc754394a,
+    0x05b9ee6e, 0x839768c6, 0x004720d9, 0x33fbbb37, 0xf613cfa7, 0x00179929, 0xb50354d0, 0x045ffe3d,
+    0x5c9d6828, 0x268a261c, 0x745cb90f, 0x94377cb7, 0xea7d60a7, 0x785197c9, 0x4a0fee64, 0xd4b4f5ae,
+    0x24c03c0c, 0xfb1d2b9d, 0x41ac064b, 0x4a95609f, 0x06f8dbaa, 0xc1252a3f, 0x68fc577b, 0x5b241da1,
+    0x9952cf08, 0x61aee49a, 0x1000ce7e, 0xf82e6c37, 0x5a561bc5, 0x399f1b83, 0x6207f143, 0xb0080fa3,
+    0xa20d1102, 0xb203dc24, 0xd2ed296f, 0x824950e0, 0xec36d980, 0x7a2b3f4f, 0x6b85768e, 0x72d629e7,
+    0x06e24241, 0x220ed744, 0xdf84e666, 0x2b6a8fd2, 0x4ddeefeb, 0x38b58113, 0x269d47fe, 0xb1ccd516,
+    0xb8e381e5, 0xff7b1456, 0x65356938, 0x47cadc52, 0xd71f146d, 0xb9789a33, 0xc2838153, 0x08ec9f63,
+    0x7d39b5e2, 0x2001c2a6, 0x27358ce3, 0x9fea9735, 0xc481300d, 0x908b26c4, 0x97c2b89c, 0xc1288cbe,
+    0x8bf01c58, 0x0c8b6830, 0x74a9e194, 0x8a712a0e, 0x404e4d10, 0x587c7c45, 0x5c26c858, 0xf84aaf12,
+    0x97b4c2b8, 0x30669aba, 0x862b420c, 0xe8001c97, 0xd98bd65b, 0xb7d10098, 0xd1ea8073, 0x59c68240,
+    0xfff24407, 0xa6168216, 0x4d1bea80, 0x8182f3c6, 0x9449f330, 0xb6e7ebbd, 0xfcbe44a2, 0xa821ddf0,
+    0x1d0b8ea7, 0x76cce4f1, 0xf06e2978, 0x2ded78ae, 0x34dd4e3a, 0xaf773043, 0x23bacaa5, 0x37df7a7c,
+    0xd983f5a0, 0x804c4838, 0x748397fb, 0xda1fa413, 0x8dbd806e, 0xd906e880, 0xaf17e1c4, 0x25a6314a,
+    0xbb85bc5e, 0x6a2dc747, 0x51e490d6, 0x4329d8f9, 0x4df7a5f8, 0x95121588, 0x7fdad452, 0x64a38ee7,
+    0x56948c8d, 0x1c9be282, 0xd0a1d388, 0x942c1f9f, 0xe05b56ee, 0x08cca3a1, 0x7e5263fc, 0x35f5c9e7,
+    0x6597a682, 0x691d279c, 0x9898bfad, 0x38242e03, 0x37734613, 0xf017d587, 0xc5058068, 0x6cd21751,
+    0x18f033d7, 0x17075194, 0xaba2eb07, 0x71fc8d86, 0xd1b601eb, 0x089a511c, 0x7bfc7bcc, 0x99df2d12,
+    0xec80d2f3, 0x96a1b101, 0x579415f4, 0x7f8887e4, 0x28be7d50, 0x9373b5ba, 0x18b0337d, 0x87d21f30,
+    0xfe861104, 0x53c218d9, 0x21db0d59, 0x6e0f3bf9, 0x0b4a3bfa, 0x8b1b54bb, 0xd56d82b0, 0x08a66983,
+    0x081a0aa1, 0xcc2c9e5e, 0x81fcfd03, 0xdd847449, 0x848dbd0a, 0x68e05435, 0x4dacdd45, 0xf69f53ef,
+    0xdb6b9f8d, 0x817a267b, 0x10a3a3f1, 0x434f5cbc, 0x5eb5a31e, 0x5891c246, 0x1d797809, 0x21d01988,
+    0x4d1549c3, 0x5012776e, 0x68a02ac4, 0x556a4710, 0x90424604, 0x3a4e2ddb, 0x10195146, 0x967a01ef,
+    0xf54f9a0a, 0x51a462c1, 0x7b592ec0, 0x3f4de024, 0x091d680a, 0x81c1ef92, 0xf0bda965, 0x39bccc12,
+    0xbd1664c4, 0xfb0f53f6, 0x35aed56c, 0x39fb3329, 0x6ff4bfcf, 0x720d3ee6, 0xa9cd82ef, 0xc0433750,
+    0x4fc14dd9, 0x68779934, 0x462df87d, 0xae9810bd, 0xe51004b6, 0xbb5ca27a, 0x4e6839c8, 0xf501823e,
+    0xaaded6d1, 0xc222430d, 0x442ed895, 0x2d7a4211, 0x6660447b, 0x0e21ad57, 0xa46bcd30, 0x8599dd33,
+    0xcaa33118, 0xb69037e5, 0xe7c248d8, 0xfbef66f4, 0xb1765aa5, 0x825ee01c, 0x3d52cbb4, 0x67739630,
+    0x125c5b5a, 0x640896a7, 0x38010e0b, 0xc49189f3, 0x93667555, 0xa9ba8a6c, 0x16e31d1f, 0xb30029e1,
+    0xf019fdd0, 0x2bd0eda2, 0xd6ebd09e, 0x45d04aef, 0x58d41b79, 0xfe369f7b, 0x429309e2, 0x1d15a6f9,
+    0x4ba1284d, 0x96c2f2c6, 0xeefec084, 0xaca28ad1, 0x0f3c552e, 0x5945963b, 0x493d227b, 0x96ec0bfb,
+    0x6a4beba6, 0x8683b939, 0x3cedbddc, 0x9cbc4a54, 0xc4c4a8d2, 0xe5b5a620, 0xff762838, 0xa890a9dd,
+    0x6e837d25, 0x15a56f98, 0x582e6d1d, 0x7e9c0b20, 0xd426f784, 0xebad3257, 0xeed9be54, 0x77ab8eb5,
+    0x1ace427f, 0xdfa1a668, 0xbbd87e49, 0x2aa4ea0a, 0xd98043cf, 0xce8a9719, 0x66987c77, 0xcb5fcbf0,
+    0x97cb5bce, 0x482114c6, 0x8a0a9346, 0xeb7911d8, 0x9836799c, 0x96151b6c, 0x1a8a2f18, 0x2f6e2083,
+    0x1a3f6b5f, 0xf4aa75e4, 0x21f0a177, 0xc2997b08, 0x5945c22f, 0xc1ffe51b, 0x29700bb9, 0x9c9c3d4e,
+    0xdcc7a515, 0xd3fc07c3, 0x35df659a, 0xc3584b43, 0x4f268e60, 0x9006bdd1, 0x29731e7f, 0x61a10d0d,
+    0x8c0070da, 0x7b86c1d6, 0x75e83d23, 0x874ce1db, 0xb349c854, 0x7190ef9a, 0xa2a04fff, 0xf3007271,
+    0xbb0fdee0, 0x2df61678, 0xefee983f, 0x4ca339a5, 0x6d9fa371, 0xbfabb003, 0x1273d059, 0xab0281c8,
+    0x7c284c46, 0xf2533625, 0xef13caa4, 0xa5ab2e4d, 0xca6eedce, 0xe39a75fc, 0x456da060, 0x12a0d2e8,
+    0x55dee83f, 0x737b42aa, 0xed7b4226, 0x9ce51ae7, 0x191f4186, 0xab03a249, 0x773afc28, 0xd4307226,
+    0xd2a3fdc3, 0x19e2f2d9, 0x6ae5931b, 0xbdf98681, 0x3944331e, 0xe36801d8, 0xe012a1fd, 0x959358a8,
+    0xdd79ea6f, 0x63498701, 0xb4b029d9, 0x46221bef, 0x666deefa, 0xebb75ee6, 0x4e36e152, 0x336c6299,
+    0xf5dc6d0a, 0xfa943829, 0xb8869e5f, 0xbdf5d491, 0x6c70bdfa, 0xa4147c41, 0xf1bc08f4, 0xed06df5c,
+    0x49747a0f, 0x0e289e66, 0x52386568, 0x8d61827f, 0xf11ff50c, 0xa0c2d5e6, 0x2f0a91b0, 0xeb0fa634,
+    0x5ce2a7f8, 0x63cf1309, 0xc24d8468, 0x746f939e, 0x26c96996, 0x080d220a, 0x45008a3a, 0xfb55770f,
+    0x783bb059, 0x44ebc7cb, 0x00afeb0e, 0xb5ffe290, 0x5e45a178, 0xffafd66e, 0x8c6edcba, 0x288bc2e3,
+    0x40d10ac4, 0x92e7f10d, 0xe2479ccf, 0x485db396, 0xe05f586a, 0x4911a4d2, 0xe3dd14af, 0x320ba8eb,
+    0x146e3f7b, 0x4f1dda77, 0x3e464024, 0x6893750d, 0x280b09e0, 0x233ba28f, 0xfd882059, 0xaa452135,
+    0x6710bec7, 0x30456e6d, 0x162a4224, 0x00cf3aa3, 0x82a4f91e, 0xb12c661b, 0x4242c7e2, 0x598d0a34,
+    0xe13e968d, 0x73085abd, 0x75c8a4f7, 0x183ddc96, 0xc283eabb, 0x6dfa8513, 0x1018d288, 0xa4840bba,
+    0x60aa7e6c, 0xa63069b7, 0xa5cd8c26, 0x5dac88d2, 0x0b6d6802, 0x23ec5213, 0xdd619b7f, 0x46594415,
+    0x9c179b2b, 0x3d7af4e0, 0x66d6b406, 0x20f97d91, 0x46c91528, 0x08c7faca, 0x0aa11ca4, 0xa17dedc9,
+    0x9a8029a8, 0x0449be33, 0x997d4c1a, 0xce87f020, 0xc11ed1b8, 0xc168ee9b, 0x3b344192, 0xfdc568e8,
+    0x46b4f2d4, 0x5b9026ae, 0x3f98af2f, 0x40b2a18a, 0xa8548ea0, 0x7a1c95b8, 0xaf473957, 0x10d72aa9,
+    0xa4fe06b2, 0xa970bb1e, 0x4e774e1a, 0x08432b63, 0x9d0f96f2, 0xdaeb2935, 0x1cc2d49b, 0xb748f569,
+    0xfd480ff9, 0xc8458f0b, 0xf4d2f964, 0x3d345b42, 0x5e417a06, 0x0a987036, 0x76c9669b, 0xe5ea5f44,
+    0x3ad393f3, 0xf61f1ea8, 0x262a5a8e, 0xebaa2b76, 0x91a806a5, 0x73e81356, 0xe582f45b, 0xa40eca45,
+    0xa34a7103, 0x230787bb, 0x0961f2fc, 0xcf88f2e0, 0x86355b4a, 0x307329db, 0x41a92784, 0x3a99be7d,
+    0x316780a6, 0x7505bac5, 0x7b97bca7, 0x8c72be8c, 0x9c5da332, 0xfef5bd85, 0x1a820f33, 0x93513253,
+    0xc9e903b0, 0x7c027484, 0x7c1bac1b, 0xe582d311, 0x51b5e70e, 0x98077997, 0xeb30ab38, 0x396b8539,
+    0x9b950823, 0x01d82f36, 0xfae3d498, 0xbb9c47e3, 0x14781ce7, 0x12615857, 0x52f77795, 0x2c0f8a7f,
+    0xdb9d416a, 0xddb22319, 0x3c97eb9d, 0x542d755f, 0xa92518c1, 0x310268a1, 0xa84def33, 0x8a28b966,
+    0xaae52e7f, 0x951a54c4, 0xa67645a5, 0xb7ad3e0b, 0x54356fc2, 0x6aab9a94, 0x30235b09, 0x3e8b2ccf,
+    0xa5472258, 0x1ac00954, 0xdaf2afad, 0x64ffe443, 0xe8a3f432, 0xb8609465, 0xfd54143c, 0x1e4f7825,
+    0xbf5c12b4, 0x52669339, 0x488b4a25, 0x97c84d6b, 0x8d94352a, 0x51eef089, 0x04003b62, 0x864e0d03,
+    0x17ad4e4a, 0x7c2f3581, 0x274b0e33, 0x72925ade, 0x62ace71f, 0x09b83f26, 0xf32997f1, 0xcebf343a,
+    0x2574af9c, 0xb435a075, 0x0328ab96, 0x7d72cd13, 0x81934edf, 0x4c94d5c1, 0x0d851e0e, 0x5843f93d,
+    0x8cd71557, 0x1f9ce99c, 0xde062f62, 0x23106bb6, 0x4d8d0849, 0x892523d3, 0xd70f8334, 0x4a8cd103,
+    0x124f35b9, 0xedf3e9a7, 0xdd162061, 0x20a7cce0, 0x13a01d8e, 0x05e1a57a, 0x01f6ba73, 0x6e1916ca,
+    0xc8f402a2, 0x522f115c, 0x1bbee4b7, 0xd99b1445, 0x4847a707, 0x7c306b71, 0xbba03591, 0x33d9506d,
+    0x0fe20363, 0xc9c31201, 0xecad30eb, 0xb3129fb2, 0xeaf3ed7c, 0x327c9966, 0x9c28e167, 0x7f22af28,
+    0xb141f597, 0x98aee7a4, 0x613004cc, 0x9ef1687e, 0x28894402, 0xf28e4d02, 0x21e00f87, 0x65367342,
+    0x7ed71bf1, 0xedffa3d1, 0x15c5eaba, 0x76114673, 0x9eea45e4, 0x1b3a8e31, 0xf13f9c6d, 0x6bd0af66,
+    0x21d08d49, 0x4899a0df, 0x1991b801, 0x5e1d2a54, 0x3d14e026, 0xd3c9e0bd, 0xe289ac21, 0x070a6342,
+    0x44891ee7, 0xe18656ac, 0x8c2e69e4, 0x9c7b780b, 0x8acf71b2, 0x2aa9ad43, 0x459b8b0c, 0x5aab4031,
+    0xae265e3f, 0x46fb7f17, 0x90ade4a1, 0x6cc84bfd, 0xe38d92bb, 0xeb2308fa, 0x08fe99e8, 0x90293c74,
+    0x65c3e360, 0x73c4a95f, 0xe73f3564, 0x69adb81c, 0x3afb70bd, 0xcbe04b3b, 0x5a2290b6, 0x6fe236ae,
+    0xea0c7b0c, 0xed39374a, 0x561dfec0, 0x70e9d9f8, 0x3e2a40ed, 0xe0f9c09a, 0x37482712, 0x97e8fcef,
+    0xc1e55c62, 0x044cac2a, 0xbc64f3b9, 0x0d3ae4b9, 0xffa0c526, 0x301b373c, 0x813b7215, 0x46148b38,
+    0x17fa13a0, 0x41adb790, 0x72989c18, 0x910b889d, 0x43981e6e, 0x3b6ee67c, 0x21454742, 0x5c71d04c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000005444517870735015415413993718908291383296 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe9, 0xb5fb699a,
+    0x00000000,
+    0x90cc4d34, 0x134acfa6, 0x642867f1, 0x1b79af82, 0x97a8d88d, 0x6442d5c6, 0xe09f3a15, 0x1d43d7e0,
+    0x2e3b82f4, 0xce62e38f, 0x8afffd61, 0xbea8ff21, 0xb76d335b, 0xd88a70da, 0x12cfb405, 0x8ad17dad,
+    0xdbb62a0e, 0x10f05733, 0xb0d0da1c, 0x745007c3, 0xe2e82cad, 0x5d208c8a, 0xdebed5a5, 0x15d20ba3,
+    0xf7b959ae, 0x4f041c2d, 0x8588b8bc, 0x814728cd, 0x7c0503d7, 0x41029c7c, 0x2087a16d, 0x32745c66,
+    0xe137e5b3, 0x3002af41, 0x1e838c80, 0xcb2cfb53, 0x6fd5ef95, 0x3e2903d0, 0x849b083a, 0x3961e7c5,
+    0xa7f5441f, 0xf13d3b78, 0x91c4fa01, 0xb1f7987d, 0xf4777e7d, 0xd0a37c45, 0xdb7c0775, 0xc32f732c,
+    0x2fc574f6, 0x57ffcd64, 0x957871ce, 0xfb816f07, 0x6f5b1971, 0x1103d14c, 0x06a355b5, 0x33f75545,
+    0x60e6e7fd, 0xf95e0b14, 0xcbb67a9e, 0x272205b5, 0x2030093b, 0x1e70c8cd, 0x14803a5b, 0x052a1b9e,
+    0xd256b91e, 0x2b797095, 0xba51c9db, 0x0417a277, 0x6469de2b, 0x50f3351d, 0xe15f978f, 0x21e347bb,
+    0x22ba7a7a, 0x4c12bfca, 0x62f3ef7d, 0x78f48bad, 0x82b0df8a, 0x6a608d24, 0xacf3bb1a, 0xa6c514ca,
+    0x64d8fc1a, 0xa0168554, 0x1e69c186, 0x60fb17e3, 0x7554223c, 0x723965b6, 0x7a5e3428, 0xf92478f7,
+    0xb8c2fe17, 0x0ab9c42a, 0xb9a23d61, 0x2b312879, 0xb6d8cd48, 0x2f606ce1, 0xf93b4c00, 0x064dc915,
+    0x0445270a, 0xad076334, 0x27a34597, 0xc877b4f8, 0x512d549e, 0x7e26f08a, 0x0de63c3a, 0xe0b55337,
+    0xdaff611b, 0x816b59aa, 0x3d4bcceb, 0x1ac09003, 0xcd1e5338, 0x2aee31ee, 0x62d98ceb, 0xac49bf8a,
+    0x0edee180, 0x60db8d5f, 0xce0a51a4, 0x31c52d14, 0x5c943578, 0x85d1d1cb, 0x90706932, 0x9ef66b13,
+    0x289e220e, 0x79d5194d, 0xbd7fe7c1, 0x142fcab8, 0xde510ab1, 0x95042c17, 0x27bbc980, 0x5bdbe4df,
+    0x777d4da2, 0xce825210, 0x9346f2f7, 0xa80692ab, 0x6f157afb, 0x6c6f8358, 0xaa0eecb6, 0x8319fec1,
+    0x57046df2, 0xf5bc1b61, 0x1a10fc6a, 0xb4cb9cf7, 0x7ee52ec2, 0x261c352b, 0x719023f4, 0x70d416f2,
+    0xf04469e2, 0x51a8e4d4, 0x684ba57f, 0x4cf28397, 0x3c9c968c, 0xeb75f1b3, 0x11572657, 0x1099c157,
+    0x8cefcf42, 0xb3910aff, 0xc11dd48c, 0x51485852, 0x55f0be61, 0xe2769b2f, 0xffec71e0, 0xb151255e,
+    0xf5d095c6, 0xde8b7e73, 0xcc862919, 0xfc4622d9, 0xd5bb4d3e, 0x39ed7116, 0x03104b1c, 0x1efc337f,
+    0xd357b5fb, 0x6697fc6a, 0xd9d436c1, 0x0da69a98, 0x97597c0f, 0x24b48322, 0x3bd10e18, 0xcbde5368,
+    0x334e03df, 0x7eb4b052, 0x4880d9e4, 0x5c3adcbf, 0x1b4e410a, 0xe763d70c, 0x97c35964, 0xcf92bedd,
+    0x49f6940a, 0x2d94a144, 0xda55bbc1, 0xde1a2ffb, 0x5c2b0acd, 0x9c947388, 0x940675f0, 0x6008e13c,
+    0xa786c070, 0x62841f9e, 0xfd7e020c, 0xbff9fdc1, 0x0c169cca, 0x591928ee, 0x8e10c199, 0x3cd7491b,
+    0x16ef0841, 0xdde15716, 0x91e3258e, 0x6fcb336b, 0x209c91c0, 0x1875192d, 0x621a7253, 0x95ce83e5,
+    0x4e9377ab, 0x2613bc4f, 0x7919bb2f, 0x609ec985, 0x570e8b95, 0xa31aa80c, 0xb3cf95ad, 0x2e1b7eb8,
+    0xd30e5291, 0x7dd3dc98, 0x2549d7bc, 0x025aaf26, 0x0c86a81b, 0xb301ee31, 0x2472a06e, 0x113bf0d4,
+    0x44f99ad5, 0x0c61e6fc, 0x21285de8, 0x668ebf66, 0xa387a8bd, 0xe4a4d924, 0x60dec3eb, 0x075adc1b,
+    0xdc6c8f8e, 0x5ba4d836, 0x20e1b409, 0x2c69a5ab, 0xf95b8f7a, 0x48a6607a, 0x9f1ddb70, 0xce842b70,
+    0x7a9a9b57, 0xdaeea9c0, 0x57567ebd, 0x400d9357, 0x71d79680, 0x960daf45, 0x2086f72f, 0x64dc37c6,
+    0x4010a08b, 0xde297a7b, 0xfc21061d, 0x78876f9e, 0xb621f841, 0x7f2b5f74, 0xc277ceb3, 0xdc1f0719,
+    0xd5875cd8, 0x52cd553b, 0xc85589b8, 0xa4415525, 0x73d3615b, 0x8645ad65, 0x45223b07, 0xacebe19c,
+    0x7a744757, 0xd546b2ec, 0xadf05b2a, 0xdd98968e, 0x8bf4c91a, 0x53817af4, 0x694c6387, 0xa7f09eba,
+    0x3b1432d1, 0xf440327d, 0xcc9478cd, 0xb29817ad, 0x24b8532c, 0x21f56d42, 0x20fa237c, 0x78683f55,
+    0x19730430, 0x783158fa, 0x0b243b0c, 0xf4e33100, 0xe94dc7be, 0x03a6e59e, 0x52426249, 0x992dc69b,
+    0x59a227e9, 0xb02fcc68, 0x7c42a0c2, 0x8f6d554d, 0x6d67ef29, 0xaa29ac93, 0x8baf5a31, 0x5ec55bce,
+    0x60c43340, 0xab692656, 0xa3cf6662, 0x4e900c41, 0x105e22bc, 0xefead7c8, 0xb472bf94, 0xe3b8287d,
+    0xa99d2cc8, 0xd56d1b9f, 0x01cd70b2, 0x12dcf26f, 0x2e79db65, 0x8567f6d7, 0xd9edfbc9, 0x16a968b8,
+    0x949f8d6c, 0x1989aa01, 0xc4f47c85, 0xe88e8d1b, 0x7781276b, 0x05e1ae65, 0xa5f7870f, 0x23b7bcec,
+    0xbdb571bd, 0xccfd171c, 0x64d9c62d, 0x6b60d5cf, 0x0a60a27a, 0xb4f59ab0, 0xfeb129d0, 0xbafaab1a,
+    0xc666e3e1, 0xdf7fa360, 0x54611bb2, 0x47514592, 0x9ad07276, 0x35bdfc3e, 0xc39aa8c7, 0xd5c02c78,
+    0x3524541d, 0x454747b3, 0x46c2857c, 0xc21f1340, 0xfcadf9ed, 0x9a7284c7, 0xd6e66fae, 0x027861bf,
+    0x7092cb5c, 0x2b0d5a3a, 0x11ec75fd, 0x9e36cc90, 0xebf43e76, 0xf892fb69, 0x7e27075e, 0xca4c2fa7,
+    0x5628abf8, 0xf54d7b9b, 0xad861d2b, 0x6592e2e0, 0xe15692a3, 0x17227a64, 0xa5179b57, 0xa6db748f,
+    0xb2526680, 0x594fc6a9, 0xfb366a5c, 0x15986333, 0x6c334523, 0x3e402d06, 0x9c87dac1, 0x1da7befd,
+    0x0cdb9871, 0xaad282f3, 0xbf334dd9, 0xe3e704f2, 0x0571425d, 0x73215e10, 0xe8fbd5e7, 0x4ddc53ad,
+    0x7d32b3dc, 0x3fc65ab7, 0x792639e2, 0x17a9d4b6, 0xe8eabb69, 0xf75ed873, 0xf5137c54, 0xacc1a0a7,
+    0x84bcf8a5, 0x666afc96, 0x7c03f88f, 0xcdbad779, 0x6da9a900, 0xfe295603, 0x60366c82, 0x025dfa27,
+    0x29719e3e, 0xf39fa4de, 0xa3e8296e, 0x6c74c1d4, 0x47fe8f02, 0xce51ae7e, 0xd8259336, 0xc7679efa,
+    0xd024b8d8, 0x157ece13, 0xd0436c46, 0xe15261a1, 0xd1c0bcdd, 0x0a8856a9, 0xa6f4b92a, 0x489cb517,
+    0x38c4151b, 0xf95a115f, 0xa9918489, 0x499e6efa, 0x84a82686, 0xa2a4364c, 0x0fe9e3c7, 0x02588246,
+    0x375ef52d, 0xa770cb1e, 0x2cbe8ddf, 0x0504df32, 0x5275b27e, 0x25838a33, 0x3af94927, 0xef5cd859,
+    0x3bf09568, 0x317b8dac, 0x5b127964, 0xa7ac93fd, 0x084e486f, 0xae113af5, 0x17f5f5d6, 0x95ac7f48,
+    0xdba8e982, 0xb0c5b383, 0xd3059dfb, 0x936a9718, 0x8477a3cb, 0xae18a1cc, 0xb389a007, 0x635ccaf5,
+    0xf4b2211d, 0x08887e88, 0xa10ef6c1, 0xa8e69d61, 0xb8386838, 0xfc8782b3, 0xca8046e2, 0xec226f1b,
+    0x2dc17d5c, 0x32137b3a, 0xc89d9638, 0x894616f9, 0xea0c82ef, 0x885b3b80, 0xa02b5821, 0x8c2d3169,
+    0x2783f1e4, 0xa0a651be, 0xcf33ebef, 0x96f89fae, 0x1678fcb3, 0xce197772, 0x7411ff50, 0xea5c5d49,
+    0x9c05598a, 0xb8ca43ec, 0xe51d675e, 0x260fdd63, 0xc8c6445c, 0x5209371e, 0x267ed489, 0x5d269e5c,
+    0x56968712, 0x0244a947, 0x7c5f7aeb, 0xc7dfc78d, 0xaf25df1c, 0xe73cb0c9, 0x0b6ab067, 0xc000a0e4,
+    0xc60bbbbd, 0x5e23b19c, 0x0d0cc73e, 0x9365b2ea, 0x492f8c33, 0xbaa4faf0, 0xaeea54f6, 0x55bca4e3,
+    0x8791359f, 0x205d8605, 0x9a96c028, 0x70bcb2eb, 0x3ef97a69, 0x18853e26, 0x2cedfc36, 0x5ccf23bb,
+    0xce09435c, 0xb6a134c7, 0x89e4d1bf, 0x3e50955d, 0x9db36561, 0xbcdb45ad, 0xc204a345, 0x630c1596,
+    0x33d8a8d0, 0xafde954b, 0xfabe343d, 0x6d2494db, 0x0f3f7643, 0x0899f200, 0x7b696b06, 0x48ff4bcb,
+    0x810ef5bf, 0x2fe0e860, 0xf90a3a56, 0x36ddda46, 0xee1b324a, 0x05c8bd47, 0x4f4c4c58, 0x45ebb7de,
+    0xd1fada5e, 0xb1c173e9, 0x08b215c7, 0xb6b3cfde, 0x7a6f96b2, 0x772684ce, 0x65f49064, 0x1c56b60a,
+    0xea5d33d3, 0x64b57b27, 0x10a9eeaa, 0x820ebcea, 0xef213779, 0xdcb5b139, 0x071625b7, 0xdcdf879d,
+    0xc2609be4, 0xc62862b6, 0xbb9dd6e1, 0x66a559e2, 0x2795c4f0, 0x87350c58, 0x5009a090, 0x48e4ff64,
+    0x248d3523, 0xe863b811, 0xc2018906, 0x217e36b3, 0xb647ea2b, 0x87cecf32, 0x73524760, 0x0e36f156,
+    0xdf3a294a, 0xf82800f6, 0xa768921d, 0xc67ccf17, 0x2cec7f38, 0x1935e865, 0xd39be70e, 0x917b175f,
+    0x1e3de405, 0xf6fab626, 0x178658ba, 0x23173390, 0x03319abe, 0xe986b2ba, 0xc2d08b69, 0x091ad652,
+    0xf0a139a5, 0x859f065d, 0xa3804952, 0x096ab031, 0x7d0ce261, 0x4e0fdd89, 0x1aa0eefc, 0x2eae8155,
+    0x62874ba5, 0xfa2e7635, 0xee58f143, 0x78272a4c, 0x7b5fa53d, 0xfe5d4574, 0xc2f5eb92, 0xee402525,
+    0x7c5f00c3, 0x7f423474, 0xd1fd27d9, 0x31598969, 0x3bda50f7, 0xd08197b3, 0xecf62b48, 0x8f6215cd,
+    0x2a57f0cc, 0x09e0ccab, 0x26a194bd, 0x7c67930d, 0x7ffbcebd, 0x54a5f036, 0x63b954ba, 0x9990d5c1,
+    0xc3a6227d, 0x7a7cc0b3, 0x8bfce40c, 0x73e87878, 0x1f6ff390, 0x746a68d3, 0xe1f92749, 0x767ceea3,
+    0xfb5712e4, 0x690354d0, 0xf9277677, 0x9df68b9f, 0xcc6253bb, 0xaf080bad, 0x50fc1e77, 0x3c64d681,
+    0x950f35f6, 0x29cf39a8, 0x7e0d2d99, 0xd030e771, 0x7072bcb3, 0x198f8cb1, 0x5efc999a, 0x0985b98d,
+    0x787e4cd2, 0xc89ea6d4, 0x88f4e049, 0x61d7632c, 0x08a2a35a, 0x21d59712, 0x37223694, 0x306d9113,
+    0xfa24488d, 0xa207b181, 0x0c108184, 0x83f8d04a, 0x7e07f96a, 0xa42302df, 0xa04b6af6, 0x7a68c59f,
+    0xe921ded5, 0xaa84f339, 0x0c192dcc, 0x8c44c124, 0xcde03076, 0x8fd84549, 0x2aea85ee, 0x448ff502,
+    0x9608d45a, 0x629a7886, 0x72f9b7ed, 0xf9748215, 0x135dbda0, 0x68ba6357, 0x68df7292, 0x1def6974,
+    0x3ec38c68, 0x4e10209e, 0x27670c16, 0x9a3b60b4, 0x5108be30, 0x23159d53, 0xc0d8db98, 0xd5e4ba1c,
+    0x47380c37, 0x61419efc, 0x8a5e7cd1, 0xb5a2801c, 0xb60b0732, 0xe9d6c87e, 0x59d771e2, 0xd011d052,
+    0x77fb34fa, 0x29fcc7c1, 0xd07bd55a, 0xa1233655, 0x72a64c76, 0xbd36fa3b, 0x2ef0c71a, 0x833ec4f4,
+    0x70a69614, 0x4be0079f, 0xfee5257e, 0xffd1b761, 0x9b68268e, 0x769acad1, 0x3a90d6ad, 0xa634d720,
+    0x900f1a37, 0xf1d38b01, 0xb8cbde57, 0x3c09b1d1, 0xe2340835, 0xcae617bf, 0xbdc7b16c, 0x42fb3dcc,
+    0x85b3684a, 0x9644ca4e, 0x110f1f10, 0xf4dbbc68, 0x101c40c5, 0xd5f1a95d, 0x657fc2bb, 0xf082af07,
+    0xea4dd91f, 0x216bd452, 0xaa5b67fa, 0x7b75cffa, 0xbcf7524b, 0xde4ad221, 0xdc5ee46e, 0xb444d501,
+    0xababa875, 0x54ec3fa8, 0xe20ad4eb, 0xc1d503ec, 0x75d704b7, 0x8a0579a8, 0xa8721f85, 0xbb1bb84a,
+    0xf005e5f3, 0x24f5ccb6, 0xf185d2ce, 0xc0a19521, 0xcfcd421f, 0x571d10e5, 0x46bc4d1a, 0xd98194a4,
+    0xd1de1b40, 0x0b9cc2cc, 0x2452a985, 0x88bc5ce4, 0x3f2b25e3, 0xe6b80cfe, 0x92f0b76e, 0xa1b8f56f,
+    0x26128689, 0xe4442aa5, 0xe84946c0, 0x26abdfc4, 0x85b0468a, 0x6a63ee8c, 0x0bbf3edf, 0xbdc1090c,
+    0xcedca32c, 0x33faf4dd, 0x7a4cc717, 0x3b245a8f, 0x152e30b6, 0xf28ffb49, 0xf0d5a425, 0xa25d205d,
+    0x86a5238c, 0x056f5c08, 0x316d73a7, 0xe6f6157b, 0x148baadf, 0x4ec98bda, 0xdd6df81e, 0x2a323624,
+    0x677a5463, 0xb06ee6a2, 0x4113bb69, 0x1fbbd842, 0xa5f7c83c, 0x1d2fc3ec, 0xf86a795d, 0x001f74c1,
+    0x0457f54b, 0xd4a3caef, 0x3a2c0fdd, 0xbab96c73, 0xf34f864d, 0x353ae82d, 0x7311a284, 0xc3d79d9d,
+    0x4fe7be55, 0x87af04d7, 0xf1968f69, 0x5c72b861, 0x7cfdf9a7, 0x3fd16ab0, 0x28107bee, 0x4bd65857,
+    0x535cd947, 0x4570df11, 0x2bb4ae50, 0x30518c94, 0x11b6b855, 0x0de390f6, 0xf2ea2818, 0x9538ac2c,
+    0xebe68d78, 0xe4699437, 0xd7f736d5, 0x8a245ee8, 0x4b129195, 0x3dba711f, 0x459659bd, 0x760c8426,
+    0x8472857e, 0x5676b105, 0x72623058, 0x33d55e4f, 0x46ef8c18, 0x70d5028d, 0x93617009, 0x5538a261,
+    0x7ff94dd2, 0xa382c9f0, 0x47cfff65, 0x692c6bcb, 0x2cc9e6ef, 0x3a0d46cf, 0x6cdd77d8, 0x111acff5,
+    0x05e8484b, 0x0623db31, 0x3a9d242c, 0x52934ebf, 0xb7ff71e6, 0x6e8b7878, 0x70491fee, 0x3c593681,
+    0xf669898b, 0x59facb24, 0xb0308a08, 0x2d90890e, 0x3ffa8ddb, 0x2d875e4f, 0x3d486e3e, 0x7712136e,
+    0xa86843ed, 0x38a7f254, 0xf601851c, 0x65732a9b, 0xf6164373, 0x34cce54e, 0x070fdf2d, 0x802763fa,
+    0x00d43817, 0x168399de, 0x084a3ebf, 0x0a34e057, 0x5acc4ee9, 0x3c1e7be4, 0x363bbc1f, 0xbad3b563,
+    0xc2a93831, 0x4916282c, 0x20ab5109, 0xade06e4f, 0x8368816a, 0x3f162227, 0x77742d41, 0xe55bb33b,
+    0x1ce61061, 0xb5e3f9fa, 0x0b797b79, 0x5d863d25, 0xd7f879d0, 0xa704b24f, 0x8ddb075a, 0x80f6fd09,
+    0xf146a303, 0xfc13c8fa, 0xd63717b1, 0x5fb6c8e0, 0xb7337001, 0x9d63e854, 0xacb291fa, 0x8a9e0ee0,
+    0xd025ec43, 0x10844720, 0xe76aebf7, 0xf9e84cb1, 0xe378009a, 0x64fe5943, 0xfd300463, 0x8acd0899,
+    0xe077140e, 0xddbe63cc, 0xe2ab3219, 0xc5bb1c2c, 0x9073ab6c, 0xec272760, 0xf2e58fd1, 0xe6db3847,
+    0x9f39cb72, 0x368140a7, 0x3634d61d, 0x75695525, 0x4a1f18e3, 0xe3c60d10, 0x2f31ecfa, 0x94ba99d4,
+    0xaf79f6e1, 0x89239307, 0xc41eaa8a, 0x5bded631, 0x8a76e9e7, 0x9a88f64d, 0x7acc3d6e, 0x003ea0fb,
+    0x56fa2cb2, 0x308ecdb2, 0xec0fca1a, 0x41e03642, 0x226c8713, 0x38e24ca4, 0x9ed9cf74, 0x3a18ad5e,
+    0x614fa81e, 0xbb169590, 0xa8525bf7, 0x4a5e58a3, 0x361eeec6, 0x2e2975d7, 0x012a2729, 0xfb7f83b7,
+    0x33dffa8c, 0x593980f8, 0xe79672b7, 0x06b2f651, 0x6cec0166, 0xa68ab1f8, 0x33e71f98, 0x83752f81,
+    0xd37657be, 0xdc2d8438, 0x88c688ea, 0x772ceb8e, 0x2b61d7e1, 0x3a34f414, 0x246f4777, 0x49d2155e,
+    0x4fbbdb45, 0x120c24bd, 0x1bd8fc4f, 0xdedb94cc, 0x2c3cba1c, 0xb168082f, 0x3000f60d, 0x310e9098,
+    0xa8c70a08, 0x68bcd695, 0x498b35c7, 0xe92fedbe, 0xd44c3acc, 0x582f6461, 0x4b1fc609, 0xe1d97ce5,
+    0x1242bedb, 0xee600adf, 0xd6aa28c3, 0xb9ec54b3, 0x3bc32dd6, 0x955fbe2d, 0xc176a620, 0x966b3209,
+    0xcb7f1cbb, 0x0f8ae925, 0xe7ea4133, 0x8f428cdb, 0x9638da9c, 0x1456c025, 0x0701d013, 0x2956a565,
+    0x461a277a, 0x232b5f1a, 0xe6a4498a, 0xdc6f01a1, 0x9760a90b, 0x2714dd05, 0x0a4cb863, 0xa567f8a6,
+    0x6202df72, 0xa478c3b2, 0x7566119f, 0xcc09f84f, 0x5b4b308d, 0xf71adfab, 0x3c0f24cc, 0x002652a3,
+    0x2385d198, 0xc0a04f47, 0xf5361d38, 0xf1f8c085, 0xab2d3cfe, 0x3247cf21, 0x3c9d154f, 0x053a51a6,
+    0xbbb1758b, 0x8910cadb, 0x18aa516a, 0xc6b4ecf8, 0xbf013c27, 0x362cf797, 0xd56895f5, 0xbbd4eaeb,
+    0xc08bb349, 0x1685f05b, 0x70ec38ae, 0xb24b199c, 0x3c3679e3, 0x0ad13093, 0xe34bf73f, 0x84ce9c9e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000002722258935367507707706996859454145691648 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff4, 0xdafdb4cc,
+    0x00000000,
+    0xc088034b, 0x0d016e8c, 0x2f69e1f8, 0x4f1bacfa, 0x9ee5d7c4, 0x249adb4d, 0x49aa5ec7, 0x5dcf5238,
+    0xf9552bde, 0xe7ec3900, 0x383fe103, 0x73c1eb07, 0x693dd73d, 0x7a1721c6, 0x7632f180, 0x5240fb1b,
+    0x2fe6471b, 0x7bfba3b4, 0x6942ee05, 0x15f64f22, 0xb181a730, 0xca002f05, 0xca196550, 0x107238b0,
+    0xeacaed71, 0x5a0e53b8, 0x6880eee5, 0xe25a987f, 0x88313be6, 0x48cd3587, 0x40a38ff4, 0x2d2ea712,
+    0xc62daccc, 0xb40f14b0, 0x426d6f59, 0x47357828, 0xdae47b35, 0x3d15d875, 0xb33de863, 0xc5ccc1dd,
+    0xf8fc8a06, 0x86970b36, 0xabe3a4ba, 0x5e742d5d, 0x39ff5b7c, 0x604dfbc9, 0x32277ab0, 0x580bd51e,
+    0x9765e195, 0xe6d09f46, 0x94ddcdc8, 0x19c64537, 0xc0f33553, 0x038aa68a, 0x5c4a657d, 0x9e4b0e97,
+    0x43b1c280, 0x7b885160, 0xaeec3e20, 0x501f3d36, 0xcf80baef, 0xa79669a2, 0x9ea83799, 0xb9b4972e,
+    0x98460d11, 0x0f511c6c, 0xe18a48e4, 0x92b8b8cd, 0xa5672186, 0x9a6486c0, 0xe02492a5, 0x24d15b55,
+    0x8652b21b, 0x49bf05cd, 0x8b9287ef, 0xa42d7921, 0xf861879e, 0x9d8c8bc6, 0xc922db64, 0xf9e68b6f,
+    0x058052f3, 0x5200af30, 0x4e89601a, 0x0cda1ea8, 0xdf0375b7, 0x55d4b30d, 0xa6193794, 0x854ce81d,
+    0x24dfb80d, 0x747f78a1, 0x7bde8c40, 0x5afcbdd4, 0x90261d9f, 0x6352c92b, 0x55ddbc89, 0xf0b8fe40,
+    0xe4d28ce1, 0x4eb75b2c, 0x38081993, 0x5bbe28b7, 0xcaa74546, 0xe466c652, 0x6b7dee1f, 0x42ebcfda,
+    0x1c7378ec, 0x2ef74c63, 0xcba93db4, 0x7cf27ff0, 0xad7d1a2b, 0xaa68ca2e, 0x6aba24b8, 0x78bd5adf,
+    0xe9277d2f, 0x25f2c7c3, 0x76f8b68f, 0x7e63a979, 0x091be608, 0x24d88548, 0xfc10877c, 0xad8ffe0e,
+    0x9678ae2f, 0x4d35a9a1, 0xbdc12185, 0x99455410, 0x78d5114a, 0xae8c61e1, 0x036f3084, 0x271e6e6e,
+    0x1598e222, 0x2e884925, 0xe8e5770c, 0xc7549801, 0x9fc4a61d, 0xff2b24ff, 0xb330f2a7, 0xe98e673e,
+    0xdc909f57, 0xf6d77d72, 0xc27f088c, 0x020e73da, 0x74038e3d, 0xcfa3220b, 0xf650f1a9, 0xf7eabb5c,
+    0x864064ac, 0x315cb8fd, 0x3598b905, 0x5e521858, 0xc935a3ca, 0x8251fe45, 0x73a54fea, 0x590a0039,
+    0x53a12799, 0xd68d5de8, 0x8ae3eea8, 0x96315786, 0x265a164e, 0xa1193c7b, 0xb093f4e1, 0xf8e39ebc,
+    0x15b80ad6, 0x39e8dccc, 0x29eef509, 0x87d507f2, 0xda7546cc, 0x092e2201, 0x47d50340, 0xca13d744,
+    0x10e88576, 0x860fa9a6, 0xf9253d5c, 0xa0a75c8b, 0x2ed6ef78, 0xef5afa6a, 0x904c6fe0, 0xac0fb2f7,
+    0x9acd12ce, 0xfee67be0, 0x396d6036, 0x749166da, 0x6362b03e, 0x5b0296d8, 0xb38b30d0, 0x61771786,
+    0x8696c105, 0x4b17f575, 0xd3db127e, 0x93674c5e, 0x6428e691, 0x64c0df0e, 0x190d4a85, 0x439a7074,
+    0xdf471fd3, 0x90643114, 0x7f769886, 0xcf7c5014, 0x3bf9e041, 0x8bc3839f, 0x9cbe01fb, 0x08d346dd,
+    0xcdbd379a, 0x1fad8268, 0x168445a4, 0xf0a06306, 0x24b23add, 0xd059fc6d, 0x60fc17ec, 0x0f062dfd,
+    0x798bf6ec, 0x4d7c1b34, 0x79a86d77, 0x50ab0551, 0x31839e1b, 0x81ea91b0, 0x3e99d7ef, 0xec9bef14,
+    0x17cc5298, 0x5f415f83, 0x02c11638, 0x68aa1327, 0x5cc16277, 0xbd8b19a5, 0x92dee287, 0xece1e335,
+    0x4c9d0b67, 0x48d70ddc, 0x3f4d1e93, 0x0b0152ed, 0x7c2293a1, 0x46e14224, 0x3f407226, 0xcdfec082,
+    0xb9e12b08, 0x94dd4045, 0x253513fa, 0xbdd4cca0, 0x352b54b3, 0xd5438c02, 0xeef71ea9, 0x4c62144f,
+    0x476ef1d9, 0x2a844a54, 0x06956e44, 0xb1fb14a2, 0xd3b0b1df, 0x5bc34c4e, 0xb38a82f0, 0x82796f3e,
+    0x95b666ae, 0xf80c84ac, 0xde8b8afa, 0x2cde02f2, 0xb1c1b830, 0xa7752f6c, 0x958718f3, 0xae62596a,
+    0x9eb9316c, 0x72b4326b, 0x2eb6cebc, 0x4606e0c8, 0x4ff31055, 0x68afff54, 0x2d05771d, 0xd7d79781,
+    0x8e6f4b38, 0x4e8d4a6a, 0x1b977ed4, 0x3d787f51, 0x1e70044b, 0x04a39549, 0xbb9ed7bc, 0x396ec33f,
+    0x32a93b65, 0xd76e3de2, 0xb47027d5, 0xe3475d5c, 0x697b5948, 0xeefd77e4, 0x58ee5b97, 0x05c78f09,
+    0x4bda58cc, 0x8dc1cc98, 0x1ee97e58, 0xe8d2fa1f, 0xc72c03ed, 0x006be952, 0x16f28bec, 0x2283ebe0,
+    0xf38e4377, 0xf4a7dbb2, 0x5fc6566f, 0x1b3a9ee3, 0xfd73275b, 0x33460882, 0x051c9302, 0xee0c1456,
+    0x9ecafe80, 0x11355884, 0xee635118, 0xf9e128dd, 0x1121179b, 0x47066a5b, 0x2ed1e2e9, 0xed1e0f81,
+    0xd923c88f, 0x7b7aab36, 0xc1a78925, 0x025060d5, 0xedf7848a, 0xefecc510, 0x0276152f, 0xac8a9eab,
+    0xb2efaf72, 0xac9d5cea, 0xa3e5ffaa, 0x4a890b55, 0xdbae296e, 0x58f2dfa8, 0x8610af8b, 0xcecaff4b,
+    0x58690a94, 0xf2fdef43, 0x8438721d, 0x7ef1d0a9, 0xf3c5ce32, 0x7a40112e, 0x9f4bf266, 0x97b1b433,
+    0x66b68704, 0x870f270e, 0xdbe1caad, 0xc1a6f883, 0x97ee591b, 0xe7ce4348, 0x657c5ebf, 0x5d55685b,
+    0x03036aa0, 0x5749e287, 0x7fb4159a, 0x19bea4ed, 0x74e8a9b7, 0x66e26bd3, 0xfce76759, 0x41a073f1,
+    0xa47b2de0, 0x60ab31a6, 0xd082d31b, 0x2eeecc9b, 0xaeecf16a, 0xefac5d1f, 0x1f29a5ba, 0x74eec5ec,
+    0x31133fcb, 0x40d5cc74, 0xca53ad01, 0xc2c7561d, 0x5e03d11c, 0xeb554acd, 0x03872217, 0x1f04b754,
+    0x1d77ae74, 0xdd6fc031, 0x3cfb0f84, 0x8624a098, 0xda4ede77, 0x0bd8e819, 0x2dd020ba, 0x8c95dd5c,
+    0xb2ff1686, 0x02b661de, 0x71b8fdcc, 0xb024c80a, 0xd79d7287, 0x731631ae, 0x37abfe5f, 0x09731b27,
+    0x616c6505, 0xc854176f, 0xf46b4dc4, 0xe03e2557, 0x550df4e6, 0x601d11f4, 0x7e2f08fb, 0xe004d70a,
+    0x7e33820d, 0x1bdcb85c, 0x7c8db16e, 0x322ce38d, 0xd24789c3, 0x8cc24450, 0xd1ec4ef3, 0x0f82d48b,
+    0x56500307, 0x8e3bfeba, 0x326b1a1a, 0x9fb1e7b6, 0xa252fab6, 0xcb260383, 0x21bf1843, 0x77f9d3fc,
+    0x17c6fe77, 0x079a5d31, 0x47ba152b, 0x14809ccb, 0xb0d17544, 0xeca947d1, 0x4925160b, 0xc50b1f18,
+    0xb7e0c06b, 0x8cfa00d1, 0x8c5d8f6a, 0xafb226fb, 0xaa127db9, 0x6848030b, 0x8ff20e6b, 0x205f54a3,
+    0x285de751, 0x0736269a, 0x23e04cdb, 0x9e71b9c7, 0xde6103b8, 0x774ac98a, 0x4af2fd24, 0x7ddf1f4c,
+    0x17370722, 0xc0a68a57, 0x60050ab7, 0x6b01ab99, 0x92dfcc02, 0x8c5ef265, 0x9a7569e9, 0xb9a59590,
+    0x29460de6, 0xe90b22f8, 0x0375b6c8, 0x609df503, 0xaf51c135, 0x854a09bf, 0x1f3c5866, 0x2346a691,
+    0x8691d8e6, 0x13130d3d, 0x4d941634, 0x4bfa2f9b, 0xfb3167ff, 0x778b64b1, 0xc7f9bed7, 0xd5470a07,
+    0x8af737e0, 0x7b839a36, 0x77814d8f, 0x22f605e8, 0x6ce41f33, 0xe0aaf17b, 0xa06e5110, 0xa915c3ba,
+    0xa5234ff0, 0xcd541dc7, 0x0a12e3c1, 0xe3e7ca62, 0x23185c59, 0xef42b044, 0xd5968f6c, 0xd44a2c2b,
+    0x4b3ca1a0, 0x6b226395, 0x794809f8, 0x45e31f97, 0x24494060, 0xd765db89, 0x9af7c264, 0xe7a867a2,
+    0x4cfcc918, 0x12addf63, 0x07cfbbac, 0xd9548f7a, 0xaf0768f9, 0x7f96db92, 0x7008665c, 0x4b1906ed,
+    0xd08b6e6b, 0xdc58e4bd, 0x57c55a7c, 0xc74e86ae, 0x6137d993, 0xedc1686e, 0x881797a3, 0x256c78a3,
+    0xaa1514bc, 0xe8dd0b56, 0xf7286a37, 0xf4559396, 0x0f3e2ad8, 0x99014851, 0xdcd4a834, 0x36d21c71,
+    0xa7c26a3b, 0xf1a8806b, 0xa57902ca, 0x39d44db4, 0x55743d8e, 0xed98a3c4, 0xaa08081f, 0x624102f2,
+    0xd856b696, 0x60d89911, 0x0373fc42, 0x2f36fbd5, 0x2b585e62, 0xd85d4e05, 0xb842d972, 0xe432aa1e,
+    0xf4af592d, 0xce00f3c8, 0x66f29b41, 0x559ff76f, 0xf2109084, 0xafe5bad1, 0xe4f548ea, 0x1d947755,
+    0x771bea42, 0x0fee7522, 0xc4512e88, 0x2492f4bd, 0x05eb6ca2, 0xf28a541e, 0x930cc3d2, 0xc180cf4b,
+    0xf2e5db31, 0x9e7e866b, 0x79a2655b, 0x5276733c, 0xa141ba06, 0x3469f9bb, 0xcebbc0c1, 0x12790133,
+    0xcfc0ffae, 0x419d037f, 0x406f620c, 0x0027b74e, 0xc21a51d2, 0xbc47958d, 0x1dc2d70a, 0x25161e61,
+    0xfb8cf91b, 0x4984630b, 0xedb3a95b, 0x792f2d2a, 0x74a6ef44, 0x0a6e37ca, 0x78d9c7c7, 0xc7c5b05d,
+    0x90835e96, 0xd706def8, 0xcb1c2439, 0x8801285f, 0x4bedb318, 0x038156f4, 0xaee4c51f, 0x4e8245e4,
+    0xc11a6c0f, 0x2fd3ec03, 0xaa8f8ccc, 0x97d346da, 0x6da4db75, 0x6859e4a8, 0x92e87ebd, 0xae5d12b5,
+    0xa31868f1, 0x3bde9dc1, 0x1edf52c5, 0x267330ea, 0x9e29f3ea, 0xd5ad63cf, 0x290a5aea, 0x670af401,
+    0x773bc723, 0xb80e9bb5, 0x26a2291f, 0x61c59a3d, 0x2515c70f, 0x730f4943, 0x524146bd, 0x4025c520,
+    0x72f49cc8, 0x41e2b6cd, 0xf3fa022c, 0x1325d1ad, 0xdbbf5cd4, 0x217629b2, 0xa6cd3b55, 0x84114d7d,
+    0xfb2683bd, 0xfcf0a576, 0xa6e071f0, 0x6bd53f76, 0x0b24c655, 0xb7c795a4, 0x5b283d1d, 0x645f3db3,
+    0xb216c8a5, 0xd1172dbf, 0x197790ff, 0x52d38ab3, 0xca2efb56, 0x08cdac89, 0x6066fa3c, 0x96e025c1,
+    0x4227dba5, 0xb1d24229, 0x8b80203a, 0xa3f00018, 0xa64e8c03, 0x0c945cd3, 0x79c0edd9, 0xcd350c83,
+    0x368554c2, 0xcde62e58, 0x8097b24b, 0xe121da3a, 0x2948a24a, 0xb38e06ef, 0x17eed2ca, 0xa1169dff,
+    0x49286010, 0x157c0717, 0x326260e7, 0xbf5f3f42, 0xb0ccea70, 0xee826866, 0x8cf06f24, 0xa8ee1b1f,
+    0xdce9a05b, 0xa5706714, 0x9ca96935, 0xa5887506, 0xadcfdeac, 0xae2f0690, 0x1b0fd713, 0x358294f5,
+    0x42c422ae, 0x7d34121d, 0xc579a1cd, 0x99661482, 0xcfea3cb2, 0x0caf280b, 0xd4d93c61, 0x5a8ec758,
+    0x40ca8b51, 0xc40a67fb, 0x99cfc49d, 0x2936550d, 0x99354c5b, 0x2129fbf8, 0xe0050ab0, 0x2be6a738,
+    0x895d717c, 0x77ceb125, 0x1e07bd83, 0x49784eba, 0x9b43b905, 0x68243b9d, 0xd6038918, 0xdb7ec63d,
+    0x77161972, 0xdd3a282c, 0x550dadcc, 0xedd86401, 0x4de60c85, 0x792a412f, 0x30c69894, 0x33d75a1b,
+    0x40843cc1, 0xcfae1908, 0x28c30cac, 0xeac61105, 0x42ea2bad, 0xb38f3a31, 0x5edee6f2, 0x8e34d735,
+    0xdb7909c6, 0xc463c788, 0xcdaaae7f, 0xbaf832c1, 0x02d96b73, 0xc101173e, 0x39b30469, 0x5bffe1ae,
+    0x08124ab7, 0xfc361738, 0x7c45b5b5, 0xe0b746c6, 0x2e7c65e0, 0x22496494, 0xd267ad3a, 0x1ebda879,
+    0x58432828, 0xbbab810b, 0x2e33b808, 0x7d286987, 0x180790ba, 0xa2bfeac8, 0x2fe904b4, 0x654b8362,
+    0xb666752a, 0x9c0f67ca, 0x5e354099, 0xf4ac0821, 0x91fce0a1, 0x6f9596ac, 0x80b9a061, 0x9b976f8f,
+    0x7b11a58e, 0xf8b016b2, 0xd3b90925, 0xf3ba358a, 0xb5b62c60, 0xb6b142cc, 0x9f3fc6ef, 0xd19a37b0,
+    0x2706ace5, 0x6da81351, 0x031fb79f, 0x1e5b7db3, 0xb2c2cc33, 0x42fa4c45, 0x2bf78add, 0xf5a064c0,
+    0xc293e65f, 0x7512ae0f, 0xa5bdc8e6, 0xc2ac6fe3, 0xdf915165, 0x90919f99, 0x1630578a, 0x415549ea,
+    0x926ed020, 0x61a3b65a, 0x39a4d1ac, 0x1496303b, 0x87bbd39d, 0x5bf0dcbc, 0xdc8fed2d, 0x343e2656,
+    0xe822d4b5, 0xe69080c1, 0x4c9f87e3, 0x40d792eb, 0x82921faa, 0x23a178b7, 0xdb97eef7, 0x86f35ae1,
+    0xb88caec0, 0x3bf8661d, 0x6e6d56c7, 0xd24dd952, 0x6386d8de, 0xd36c097e, 0x053fa8df, 0x0baa5e3e,
+    0x40f7ed92, 0xb2cf3313, 0xa7e61b80, 0xe116845b, 0x1ef8f5c6, 0xdffdb95c, 0xeab5283f, 0x825cad78,
+    0x81bcae06, 0xe9a4f29e, 0x76ec8ef5, 0x6be6de05, 0x5d1e85d5, 0x2185ddff, 0x6b646cd8, 0x948a7b65,
+    0xa0be46b2, 0x7226f68f, 0x4b04e447, 0x6054ed29, 0x1baff172, 0x953e4b57, 0xd821e542, 0x796fbef0,
+    0xf186e8b3, 0x771a4e28, 0xe13c7c65, 0x2b30670a, 0xad70cc3b, 0xf94fc3cf, 0xed54ef0d, 0x82071b60,
+    0xe6fa7b8e, 0xce03b5a1, 0x7ad1b94e, 0xd6aab71b, 0x63935eb6, 0x5c82d2b8, 0xc7bd77f1, 0xec3ac7e4,
+    0xadf1cd03, 0xeb9e2717, 0x6195e8c1, 0xaffa1591, 0x2aa5458e, 0xea45d21e, 0x637154cd, 0x72cdd3d6,
+    0x5011e383, 0x2045319b, 0x278aa3ef, 0xf3ceee1c, 0xe1a65b17, 0x9dc623f3, 0x3c90f182, 0xf98dc664,
+    0xc8b7fd69, 0xb7b65539, 0x82efc303, 0xbc256cd0, 0xb72e8fc2, 0x6916d2b2, 0x60d397bd, 0x01efbd1a,
+    0x43601e28, 0xcb559cb8, 0x6252f0b8, 0xd9ad952f, 0xb206ac1b, 0xceaa8dd6, 0x5eddc4bc, 0x677d0f74,
+    0xd79a186e, 0x886f12a0, 0xde6bd426, 0xfafa072c, 0x031dd4e9, 0x1664b39d, 0x567ffd14, 0xb5b778dc,
+    0x71e8c39e, 0x69e4dcb1, 0x4be25026, 0x06f4c79f, 0xfab5b431, 0x8564dd72, 0xc2d3badc, 0xad5a5389,
+    0x85345a25, 0xa3f65a34, 0x69bb1a04, 0xa534c48c, 0x86276845, 0xcb497b08, 0xe8baf46e, 0x84b27717,
+    0xe1d13b36, 0xafc1ec25, 0x07a0f646, 0x147563d2, 0x20ccbdaf, 0xd0d13424, 0x4d64f744, 0x694ceb34,
+    0x37d611b1, 0x62d9af08, 0x1722a555, 0x5057ae85, 0xffb2e437, 0x4326ec43, 0x70910e95, 0x6faf0a65,
+    0x1140b2ef, 0xedda0882, 0x845ab073, 0x0904b2ea, 0x7db20c41, 0x501c9c20, 0x6660c445, 0x6bf38b23,
+    0xf1906fdf, 0x39356c8a, 0x42e4206b, 0xf52daa9f, 0x79e6f0d0, 0xb29dcdc2, 0x8b05e223, 0xd7b35598,
+    0x8e5069d0, 0x0e366eb6, 0x167f5adf, 0x1814db3e, 0x19de1934, 0x56cbe865, 0x5dd238cd, 0xb33878fc,
+    0xb3e5172e, 0x2050334e, 0x306415b9, 0x2fe3dd99, 0x591b6a72, 0xda1ff307, 0xca5a296d, 0xeb5f89e5,
+    0x773a347c, 0xb6816673, 0x20a01377, 0x6f38bf27, 0x0e0ec960, 0xc67cfec0, 0xf1c7e3ec, 0xacf3dc99,
+    0x4d219417, 0xc0406a17, 0x9d38c02d, 0xd8b30541, 0x772e4f0a, 0x65acb4e6, 0xab40509c, 0x7c4ec787,
+    0xdbb8c736, 0x5a312200, 0x34b361e8, 0xb20fcecc, 0xac1609f7, 0x226fce4e, 0x4a8e92b3, 0x1bc36d0a,
+    0x2c25cafb, 0x9c7bd748, 0xa24034c1, 0xa1bdaf94, 0x05bde0dc, 0xbc79e39a, 0xabd26e08, 0x1fc2a21f,
+    0x7aa393ec, 0x2e1902fd, 0x429187a3, 0x36e2aa16, 0xe518fbf3, 0xe7aa267c, 0x1365b696, 0xcc15813c,
+    0x788ce1e9, 0x3401f86a, 0x045ac207, 0xff1d28a9, 0xe7d35a57, 0x7c7af38c, 0xd41e0395, 0xbce219b1,
+    0xddf4404b, 0x4ae0482b, 0xe469c10a, 0xfcabef95, 0xee40a994, 0xa1dd0a27, 0x7c4a0c31, 0xe352b104,
+    0xaf10bcc1, 0xc0c10cbc, 0xb5d06c83, 0x85ccea20, 0x2b252301, 0x4a518719, 0x61012dc1, 0x73b66914,
+    0xe686b3b9, 0x5118347a, 0x33aaab3e, 0x1b847c69, 0x65a33c9d, 0x71c9e8bc, 0x8a0eacd1, 0x9b949038,
+    0x4aeb58a6, 0x0118db99, 0x3fa4b83d, 0x9e8ecb49, 0xc0e4d112, 0x18cb5708, 0x01c09832, 0xf29dd18b,
+    0xd00fb70e, 0xd18a118f, 0x61159c10, 0x3b7f4ff3, 0xf9d81cce, 0x587f782a, 0x506c67e4, 0x3ab93427,
+    0xe1bf9d17, 0x51d48e75, 0x4de9574a, 0x7150ad32, 0xe07d8473, 0x7d421556, 0x6fda9bf0, 0x0684ad54,
+    0x78691314, 0x95f4089b, 0xd0922307, 0xb52c17ef, 0xa97a8356, 0x5e24afcb, 0x76082169, 0x75756154,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000001361129467683753853853498429727072845824 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7fa, 0x6d7eda65,
+    0x00000000,
+    0xde02504d, 0x16435a28, 0x85c0e9f4, 0xaa201a21, 0x332d7658, 0xc880a351, 0xb1762771, 0x77a00a2c,
+    0x5d1a82a7, 0x02084c03, 0x51b69d2a, 0x58b03e2e, 0xc8cb9bcf, 0x939cf83a, 0x75d8ea43, 0x9afcace9,
+    0x32fb1141, 0xe3b87454, 0x54c5649a, 0x6f5aa38b, 0xc79993f9, 0x459b4e73, 0x451ec1be, 0xcb51b3e2,
+    0x576d81ac, 0x34d20f10, 0xe0d80e1b, 0x026b781b, 0x7a8e6724, 0x9fc71d5f, 0x0d7276a6, 0xd8cb76ea,
+    0xb67f0dfc, 0xd5c212f2, 0xc906cc56, 0x9a185c37, 0x37af90cd, 0x4324646b, 0xf7b13960, 0x074f2e82,
+    0xcc6fe68d, 0x88b04178, 0x04f96b1d, 0xdfedb458, 0xdc13fbfa, 0x435b5d98, 0x73ef5b6f, 0x95766376,
+    0xa2cad43f, 0xcb012927, 0x9aa9a6c4, 0xf21cee80, 0xdb9c9376, 0x0842cc20, 0xd22b41ae, 0xddeb8506,
+    0xe9048089, 0x8895d799, 0xa013491b, 0x86296a43, 0xee24a275, 0xd05d18ba, 0xc0d9a358, 0xd73a5bc1,
+    0xf1df9ef9, 0x058bdf22, 0x1c0e9a33, 0x779132b3, 0x0d98ee22, 0xaf588ca4, 0x5d62cb5b, 0x4405d5b0,
+    0x0fb22df1, 0x56857d7e, 0xde5bf016, 0x748d75c5, 0xb56bfe2a, 0x92f339f0, 0x9669d0c1, 0x7263cfc9,
+    0xe7be6827, 0xa323c5c2, 0xf631c9ff, 0x01028e9f, 0xb5aee320, 0x971bc442, 0x33f06c8a, 0xe777a3d1,
+    0x04c1ffa2, 0xa6762923, 0x511cc3b5, 0xaa93debd, 0x1670dfed, 0x3665e141, 0xc6111460, 0x23017506,
+    0x7b9a29f9, 0xb8572b22, 0xdb9e9d20, 0x4a8db28a, 0x08ee396d, 0xef665aa7, 0x2f4815be, 0xd8e43d40,
+    0x2b73a848, 0xd88e2db6, 0xdccddab9, 0xc9a10543, 0x0559cf89, 0xd1068f57, 0x3fd23277, 0x36833442,
+    0xd9dcc6d7, 0x73548236, 0xcd9e3bc3, 0xe4b90247, 0x52ec1587, 0x90b11d61, 0xf60dbd13, 0xaec4946a,
+    0xe84f8ef0, 0x495f74fd, 0x9b719a8f, 0xb8183211, 0x592a65ed, 0xdd75f0f4, 0xbcd520f4, 0x9d1b7de1,
+    0x736e4283, 0x8b353287, 0x7dc654d1, 0xa0c5c421, 0xf0213949, 0x7a59a298, 0xbb89cef9, 0x8dc8a667,
+    0xbbe19885, 0xf7947f73, 0x943a9030, 0x6502ed09, 0x02a386a6, 0x5b40b8bf, 0x6ba78b85, 0x00a11878,
+    0xecdcf3d4, 0xd4974345, 0x5b69adbd, 0xd247a7fe, 0x3b7a04c9, 0x26e85616, 0x6711d4d9, 0xe5c439d5,
+    0x33b4fa63, 0x5e5db8be, 0xf112b11f, 0xf1ca1250, 0x36215e40, 0x682f0dc8, 0x55e4e7b7, 0x501cb55e,
+    0xf923f308, 0x04daebf4, 0xd1f701de, 0x2995083d, 0x32ca3b05, 0x3e5fc2b2, 0x07705685, 0x5f4c5c06,
+    0xb748aec1, 0xdc4cea4e, 0x88899cae, 0xc2b82d53, 0xebdb583c, 0x6d8b691f, 0x8f799cb4, 0xf069b6db,
+    0x14c79a0b, 0x7c20ac3b, 0xffe64450, 0xa815446a, 0x03ded729, 0x469bebd0, 0x9302f643, 0x7d13e619,
+    0xb78dad2f, 0xc0d8f793, 0xd0d294e8, 0x529b0317, 0x6d9558de, 0xc7282475, 0xb2999aae, 0xdec4db5b,
+    0x6bf9c8b5, 0x46ae05d8, 0x833c4cf7, 0xa9289e6e, 0xcd4c2759, 0x2837e9a9, 0x530181d1, 0x529b9221,
+    0x3d46d5f1, 0x8bf8061d, 0x17acb9c0, 0x8a1b6062, 0x27eac234, 0x2e662629, 0x1c187593, 0x97515135,
+    0x1c6b98b8, 0xfff08c3b, 0xee526540, 0x4b3f9371, 0x28d4a8f0, 0x7c9d7635, 0x05ffa782, 0x91ff4331,
+    0x135e2dc6, 0x30421b71, 0xa1a73ab5, 0xa81f2c06, 0xf2b761ad, 0x2f357a57, 0x91e3b762, 0x53da6e76,
+    0x0f82fa74, 0x45844693, 0x8d57e6c6, 0xbc64cba9, 0xafa38b02, 0xa0d16844, 0xef5579f8, 0x80de3bc1,
+    0x3aa216fb, 0x326aed26, 0x7aac5365, 0x299199a3, 0xbea220e3, 0xef72252e, 0x2a7eb690, 0xef8a751d,
+    0x034c7ad2, 0xd85aa882, 0xa202c3b4, 0x40fd2164, 0x9a992752, 0xb6fde123, 0x5c85064f, 0xedbfa418,
+    0x815ccf97, 0x4501f58c, 0xc9f65397, 0x9ab6e231, 0xd2f5b529, 0x4ad3632a, 0x9e6b0eca, 0x5d90b052,
+    0xc86c8059, 0x421b9c9c, 0xa57343b5, 0x7ee78169, 0x66543e03, 0xa91e1eab, 0x908853d8, 0x2967e08c,
+    0x9e8d53b4, 0x059d2752, 0xac8976b1, 0x15e7ef96, 0x12ddc78d, 0x21cc6f09, 0x5cbb8424, 0xc9ad79de,
+    0x562c114c, 0xc99a38b3, 0x0f6f8abc, 0xa00a6c51, 0x350f1952, 0x8b5eeb32, 0x43007b38, 0x1a1950f5,
+    0x547825d5, 0x46d21c5f, 0x8d24a45b, 0x16a3fac5, 0x28dbdeab, 0x13bb1e9c, 0x126564b6, 0xb2eccafd,
+    0x586311c3, 0x924aad89, 0xebbce47d, 0xdc8eebdb, 0xd944d8ba, 0x23f70ad8, 0x06b5f538, 0x4ce4797d,
+    0x358d6ff9, 0xb1bbfdef, 0xb7b5f18e, 0x93a8f7eb, 0xd3a84e4e, 0xa124f050, 0x479dfc29, 0x40f14e39,
+    0x60b50d9d, 0x7aa43b8c, 0x809620f8, 0x08177cf6, 0x5f3a4a8c, 0xcae6229e, 0x83ff97c5, 0x6a0167ea,
+    0x077475b8, 0xf8e1afa3, 0xb26db2b3, 0xcd514c15, 0x17fd317c, 0x85e694c4, 0x4a81fa35, 0xaa818fb2,
+    0xf2b98cb4, 0x4337e01a, 0x7a05c893, 0xcf76e832, 0xc7849474, 0x86f28114, 0x74280055, 0x81a0b9b0,
+    0xd379d5a5, 0x8bb3cd4e, 0x173b14f7, 0x43ff86db, 0x9e6b6a09, 0x35738365, 0x34683ab5, 0x4746abbf,
+    0x33532b0e, 0x6eadcf59, 0xc3b2ff0b, 0x85b4f4da, 0x762b6746, 0x3e26f21e, 0x63b06947, 0x61371f1a,
+    0xe262dbe2, 0xb9deae59, 0xc84007b7, 0x8f658e95, 0xe5e2c711, 0xa8683ffb, 0xe511693e, 0x3596a9e8,
+    0x8caaa0e4, 0x914be506, 0xfe37f274, 0xbf7041c6, 0x6575ccd7, 0xcf7cbefe, 0xdb8bc3ff, 0x3f4b6fcb,
+    0x9c7c3853, 0x5e43a6d9, 0x43ca53e5, 0xef664dfa, 0xfbac9a22, 0xce5811be, 0x55fe1d06, 0x46ac561a,
+    0xb9a2da61, 0xe8232712, 0x27f679f5, 0x5526a22b, 0x622ff501, 0x22edb3ba, 0xc45e7428, 0xb9f44e23,
+    0x3912a27c, 0x48a72e0e, 0xcd8f78ad, 0xfd1166c3, 0x34d4ec7d, 0x63299c2d, 0x105d4f17, 0x90ffbbc8,
+    0xbf86c58e, 0xf3a08378, 0x887ef087, 0x8d9032cf, 0x2e2a993b, 0x9986d22d, 0xe12dfdaa, 0xab5b0b15,
+    0x9ee804a4, 0x799b9ce8, 0x4fb4b21e, 0xa55d93d8, 0x51754ba1, 0xebc1965d, 0xe4805c11, 0x960df899,
+    0xa459d6f8, 0xd829db93, 0x9935e45f, 0x0329f86b, 0xff75223a, 0xc69afd83, 0x53252e39, 0x69f62b00,
+    0x44313cd1, 0x0eb2895f, 0x3265ec63, 0x89684827, 0xdc93c40a, 0x1a66e791, 0x1570f586, 0xd513f9a5,
+    0x99ea05f2, 0x2b8e399a, 0xce14d54f, 0x3f112c41, 0xfd26b82b, 0xdb8b1494, 0x7890926c, 0xc598083d,
+    0x26a41923, 0x33fd19fa, 0xea0c1225, 0x36f259aa, 0x0b3f0729, 0x0cf7b0ef, 0x2b32c1dc, 0x9aed265f,
+    0xb8c34b10, 0xb7cec992, 0xb529c457, 0xc88b71f0, 0xeb4b476e, 0x805ca7a1, 0xe7e707a3, 0x43a3eddc,
+    0x82fbb2b5, 0x80f9d750, 0xab09ddc8, 0x787ee968, 0xc69f4068, 0x96cf084a, 0x8a16ea91, 0x98342c69,
+    0x66c763b9, 0x72cad750, 0x107d8035, 0x23f40c33, 0x1b1af6d8, 0xd35be106, 0xe4dd963b, 0x94d4ead7,
+    0xe8e420a3, 0xf67a3260, 0x328e8d5a, 0xe0b2a34a, 0x77dc07a8, 0x73073da4, 0x3ebd4f8e, 0x2403ca1f,
+    0xfbdfc6cc, 0x296ae926, 0xa4227c8d, 0x9c988d22, 0x976bc473, 0xb67ff353, 0x3784ae71, 0x95e0cbdd,
+    0x0bf6c7f6, 0x0bd51e62, 0x3757d0a7, 0x0becd988, 0xee44cba2, 0x6a4f94c0, 0xd250ac72, 0xa176e4fe,
+    0x780f396c, 0x1baaeb71, 0xbac54d6b, 0x5ff0ff09, 0xffa9b54a, 0xa9cd4296, 0xc6dfa077, 0xcf0dad38,
+    0x3f6ecfb9, 0x6bead2a1, 0x8cfb430d, 0x78f5ef80, 0xc572b884, 0xa82d20c0, 0x1d115c4b, 0xb9c6a380,
+    0x2829fba3, 0x00d097be, 0x50342556, 0x80d44bf0, 0x946546c7, 0x2f8ee064, 0x6e99a196, 0x014754d2,
+    0xc6e37792, 0x9b241867, 0x63cfc3be, 0x08f7ebbe, 0xa3aebfbd, 0x7637d525, 0xa16c2076, 0x88f885a5,
+    0x0ac1ef88, 0x300999fb, 0x69b0e336, 0x7aab3d79, 0x8d752d27, 0xae48b373, 0x8f7208ce, 0x029c6df2,
+    0xe36e0fa1, 0x132a9f74, 0x067487c2, 0xdf24d7fa, 0x8309f9d8, 0x8379b4a2, 0x575f9bc2, 0xa2e16af5,
+    0x032730e4, 0x5beb0dc9, 0x84406a48, 0x72628b17, 0xc743b64c, 0x0b6a4a7d, 0x1291e891, 0xa70ff2af,
+    0x456b4ba3, 0xd2f81b9e, 0x2495071f, 0xee9779a9, 0x059268ac, 0x22959d4d, 0x56eda54b, 0x5059379b,
+    0xa003791f, 0x63bc2ea2, 0x793f0e96, 0xe3db1321, 0x636a5986, 0x8c092620, 0x69ed8721, 0xe7633508,
+    0x96657946, 0x1e86408f, 0xeae66172, 0x80da6801, 0x9e569bee, 0x84d8ff62, 0x51086ad8, 0xb2e2e535,
+    0x89cde7c3, 0x38964e3c, 0xfcb749e0, 0x33883562, 0xb1ec7f77, 0x2232fd6b, 0x12f507d2, 0x2176697d,
+    0x0b4075a3, 0xe4a5d489, 0x606ed72f, 0x9284dd1b, 0xd0ae8364, 0xf2547852, 0xf2086d17, 0xeceecc6b,
+    0x0d777ca2, 0x2973156f, 0xf38c0f0e, 0x579dba03, 0x592d5c62, 0x815c17b4, 0x4b2fb5a7, 0x3e95a3a3,
+    0xa5616b34, 0xe071365b, 0xfe43de3f, 0xb6a4d28a, 0x754cfba4, 0x8a5d2b5c, 0x1e395d42, 0xdbb0694f,
+    0x6efb8681, 0x44aef54b, 0x27783c61, 0x8610f6f1, 0xb314b5a5, 0x78483f49, 0x6c8f4b26, 0xc058b603,
+    0x7dbf3b67, 0xf3f8f3fc, 0x4e370aaf, 0x43d98b06, 0x32efa233, 0x4876c13c, 0x24946ca9, 0xb192a746,
+    0x5748951c, 0xe808c2c6, 0x849325a3, 0x09213351, 0x55c43f6c, 0x9b9f1203, 0x45ec117a, 0xf3468822,
+    0x899b6ba8, 0xc6d37593, 0x7303359b, 0xbfbb5216, 0x63dead8e, 0xe00e2b10, 0x2f785595, 0x6f2bf4d4,
+    0x0dcb3dc6, 0x9faf729e, 0xd499f443, 0x673cf64b, 0x2bf93563, 0x7472a68f, 0x55f6c999, 0x2a8e696e,
+    0xa7fdb81a, 0x40eddbd3, 0x9fe4b1f0, 0xfb49cb09, 0xa9367b74, 0x8e6187fc, 0x12fd0b13, 0x2921c022,
+    0x0133a8da, 0x458895d8, 0xc7b2a766, 0x8c0bba86, 0x4b080440, 0x36cf974d, 0x20d2c2aa, 0x1f2f83d2,
+    0x85b19174, 0x8f73f353, 0x1a6b0353, 0x9c8eb46a, 0x90f38222, 0xe00acebf, 0x125fc4ed, 0x29fae18e,
+    0x8c4f33bb, 0x1e3769e5, 0xbf9ab8c3, 0x947c1a55, 0xea134e38, 0xbf221ec6, 0xc79596df, 0x12d8096e,
+    0x03c5cac4, 0x2fb6699d, 0xa2dd62ba, 0x5b57f367, 0x954ecaad, 0xd9a4a309, 0xdc5ac221, 0x6f6ba26b,
+    0x302fd6c3, 0xbf4ec673, 0x7a7b682d, 0x38751893, 0xd226263f, 0x4f03403e, 0x1ee20afc, 0xbdbf2731,
+    0xe1c3c11e, 0xe0a95573, 0x9aac7b6e, 0xcc4a4fca, 0x0fbc6f8a, 0x5d8b7fba, 0x2775fbdb, 0xc4451014,
+    0x9ef45680, 0x797d8551, 0x0752ae32, 0xce1daaea, 0x47efe41d, 0xb552e93b, 0xa7d76625, 0xdb12d592,
+    0x6a994849, 0xa9b09d6f, 0xae6f4e41, 0x27b898cf, 0xa9bc7137, 0x703c9041, 0x557e210c, 0xb7a69284,
+    0x7df1cad0, 0x136b5bb1, 0xf7aa0baa, 0x666e08d5, 0x5d8e3939, 0x37b8389b, 0xdbdf6c1d, 0x93f14b7a,
+    0xd077d626, 0x252120fc, 0x8b561f55, 0x790e1d28, 0x56f111ad, 0x6c4012d0, 0x22ea9ac1, 0x9f88be2a,
+    0x0d8a7d43, 0x86284955, 0xba19e2f3, 0xb23c315f, 0x32ee2a95, 0x4acd7305, 0x0f5ed724, 0x5cef722d,
+    0xe57cc6da, 0x58aa004b, 0xa644d4ef, 0x9d09717d, 0xee205bce, 0x75916c19, 0x6bcf680f, 0xad4d91d0,
+    0x6a438e59, 0x39266be2, 0x6b03c906, 0x1ec291c1, 0x57bd4b7c, 0x7c398ce4, 0x068cef8b, 0xef4b6ae2,
+    0x88e04dd1, 0x0ad22cdc, 0xbcac8aae, 0xd8d100e2, 0x73e9d5bd, 0x1aac67cf, 0x00b2363e, 0xb7dac981,
+    0xf7c2b6ee, 0x633675ae, 0xfea5c2d5, 0xac9efc6f, 0xc6c975aa, 0xeaefc2e0, 0x49ac3003, 0x087d2fa6,
+    0x360cbe44, 0xae2a87db, 0xaa42289b, 0x88cffa5a, 0xe6f430d9, 0x8ab61e28, 0xb2ba0fbd, 0x8b5845d3,
+    0xdaeca3ca, 0xa1f3f508, 0x417f3975, 0xb43d3239, 0x3fd70455, 0x58d6af35, 0x0ebfb5d3, 0x1410298e,
+    0x7e840e01, 0x2db6278a, 0x05dc57f9, 0xa49329dc, 0x2e232ccc, 0x4359fac1, 0x0626bd14, 0x7a26c40e,
+    0x06ec9771, 0x083d07cd, 0x70079380, 0xc0c89920, 0xeb78b390, 0xb7f756d6, 0x2b074d73, 0x9037f9ef,
+    0x0d827e2e, 0x87d2d286, 0xc87bb6fa, 0x0269a6c2, 0x07c7469f, 0x95a11fd4, 0x45e99e2a, 0x0fd66f1c,
+    0xf9b4403a, 0xc3c0b6e2, 0x5aa54c50, 0xaa22fe97, 0xb307ace2, 0x8d1d256c, 0x814bb6f4, 0x968ca047,
+    0x61037214, 0x6112796c, 0xc956295e, 0xdd22a183, 0x76957056, 0x404fbc7e, 0x6c829124, 0x9995e3d6,
+    0xb75e7fa8, 0xeba8e3b6, 0x64a32e05, 0x9e0f69f2, 0x40b93bc9, 0x80e91b68, 0x6743181c, 0xa986f693,
+    0x0f99c913, 0xb3d04a4d, 0x6ab16b61, 0xe7c88ea3, 0x98d41fa2, 0x27441251, 0x519bfd33, 0xb8f683f7,
+    0x3c2ef836, 0x1635a212, 0x14690fc7, 0xc7d340d3, 0x852566f6, 0x24e215a0, 0xcded806e, 0x2f920447,
+    0x42dffae9, 0x0d6f9e99, 0x897be0f6, 0x0287b765, 0x2883697f, 0x5754a9d5, 0xea94b522, 0x17b764f8,
+    0x8389cabb, 0x87133f27, 0x19e375a6, 0x724653d1, 0xf6cdeeb2, 0x7fcfb656, 0x0a6bf2e0, 0x235e1862,
+    0x4c4c11d1, 0xbc712ccb, 0xca888922, 0xb40db3bf, 0xced50146, 0xecdd2518, 0x0885d832, 0x21fee3fb,
+    0x6c259a19, 0x2a7b9f5e, 0x4ac00d4e, 0xc5f50010, 0xcfdac27a, 0x21a5acbe, 0xc9141645, 0xc7885754,
+    0x2aad0ca7, 0x11df5592, 0xee07c632, 0xe4da04a2, 0x3f9730d9, 0x94429e86, 0x20e05a01, 0x97274304,
+    0xa3fbe117, 0xe611883c, 0xbefa5fa5, 0xdfce0b40, 0x1d5d2756, 0xac0162d3, 0x24d199af, 0xcf2675ed,
+    0x441fa732, 0x45f35fbf, 0xed400445, 0x59fb7f6c, 0x7f4ade8e, 0x9c08d8f3, 0x8fe5ac81, 0x1cd1a839,
+    0x31732720, 0x9a93d4a2, 0xbbfbe3e7, 0xa0d4f55a, 0xd7fe251d, 0xc656db67, 0x3a52e3d2, 0x61e59ba4,
+    0x64488f37, 0x5e232b02, 0x254226d6, 0x48ff9318, 0x3703dd5f, 0x02acdd63, 0x5d1a5c3e, 0x411c1f22,
+    0x0c345b44, 0x42b15e7a, 0x8212bbd8, 0x8ba5c225, 0x67cd1725, 0x68afb81e, 0x8e19801a, 0xaf4ecaee,
+    0x00b45f84, 0x5076aeb2, 0x2cee0d01, 0x5c17b72d, 0x107fdbe5, 0xe11b88d8, 0x48459e56, 0xeeaea026,
+    0x4519ae14, 0x9c1b2539, 0xc4925a5f, 0x7058b9e3, 0x522cb8e2, 0xdd005106, 0x93ba358f, 0xb38ee18d,
+    0xe131d8af, 0x59778f17, 0x63051649, 0x58bb379e, 0x6f6c6d22, 0xc3a470a0, 0x8b298c36, 0xbf07c8fa,
+    0x842257db, 0x131d332d, 0xb1edf6f9, 0x2baff5e5, 0xec2277fd, 0xffa29e19, 0x387f0b9c, 0xa7422334,
+    0xe1fdd39d, 0x9194063f, 0x822eea1b, 0x50348b84, 0xc84e5b16, 0x3205576f, 0x5c9246d7, 0xec1acce5,
+    0x2c7ec6aa, 0xd16d90b3, 0x7caeaff5, 0x192fc0fd, 0x45ec7f6d, 0xc5b828f8, 0x0a25f371, 0x9f6bdc3c,
+    0x3406c164, 0xcaeea76b, 0x55e90eeb, 0xa05a1e12, 0xed9ee2fe, 0x57e89ed4, 0x356c8e63, 0x8bdc75f4,
+    0x3c35271b, 0x44dd4257, 0x7dd3a12f, 0x198d0f7a, 0x85df4060, 0x8f6a02d1, 0xf4978dee, 0x9ded36c0,
+    0xa0e14f1b, 0x36bfa20a, 0x340b3c49, 0xc0f21ead, 0xd78da199, 0x014c7969, 0x3b6525b3, 0xfc87e06b,
+    0x77d0618d, 0xba29046c, 0xeaa01645, 0x9e2418b5, 0x561f5963, 0x350d53cc, 0x7c3454cc, 0x1845bbc5,
+    0x1b697330, 0x6135c707, 0xbf00d99e, 0x21fb8593, 0x5661eda3, 0x77615035, 0x22dd0c24, 0x20d45487,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000680564733841876926926749214863536422912 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfd, 0x36bf6d32,
+    0x00000000,
+    0xa892ea8a, 0xcda86bff, 0x1823ca15, 0x42dd90e7, 0x8644dfa1, 0xcd2d25c1, 0x37479556, 0x5c9ebc1f,
+    0x63c09f2c, 0x2b680b69, 0x07946220, 0x704322b8, 0x56767dba, 0xe9eae8aa, 0x72f80a03, 0xaa15670a,
+    0x0616deab, 0x2a7c85a2, 0x1265f83f, 0xc1238fce, 0xc88189f4, 0xba8c0499, 0x4da121d8, 0xf87bfecd,
+    0xf546d455, 0xa9f8de4f, 0xc25aac4b, 0x8f9be338, 0x506ee4f5, 0x2e209561, 0x588e68b7, 0x619d4035,
+    0x0a3edcfa, 0x9b841fca, 0x0de29d69, 0x84b68ad4, 0x17900f5d, 0xc7e30ee2, 0xbcf34391, 0xb6c0990e,
+    0x2f9c2f8e, 0x8e638a42, 0x7838b6b2, 0x20344287, 0xb369d3ba, 0x1849c676, 0xe042daca, 0x2f5f5170,
+    0xf185c197, 0x3788ef91, 0x72b7406c, 0xaf52f47e, 0x9bcdbd39, 0x81ab04ae, 0xf84ab813, 0xca8900a3,
+    0xe8d3da9a, 0xea0b1dfc, 0xdc900764, 0x4bcb8d8f, 0x6e27a465, 0x55a1ba7f, 0xe14bb19c, 0x77b4d1ca,
+    0x9cf65429, 0x4d53eba9, 0x0f067147, 0xe9639906, 0x7a4cf63b, 0xe6a9c7cd, 0xcdf7b738, 0x0b143c7e,
+    0xe3d17315, 0xa415c3ee, 0xc22c3c7a, 0x301bb709, 0x86b44d10, 0xfe43f61d, 0x44935181, 0x4593ed0d,
+    0x0f2e259e, 0x03ecdf3c, 0x50fe5db5, 0x9f4ebcf1, 0xb39f7755, 0x3adff5c1, 0xb0a9b7a3, 0x2aa6b7d7,
+    0x81c2f5a4, 0x1421849a, 0x7dc2531c, 0xe2d6882a, 0xe407f6bb, 0x942aef4c, 0x29db1ace, 0xe208e324,
+    0x4fb941f7, 0x3e5e4e60, 0x7e7c6343, 0x3d0b83d6, 0x3cbeb828, 0x305e31db, 0xbd795fad, 0x6a47afd6,
+    0x25b99f97, 0xd0828ce1, 0x85f43a3a, 0xf8ae64ef, 0x614a3dfc, 0x1e54aa4d, 0x24dd5132, 0xa384641d,
+    0x0c791097, 0x0150ad88, 0xcd39bfb9, 0x2e9c028f, 0x65485222, 0xa7a8bb0f, 0x8a89d85a, 0xe8b31cf8,
+    0xa902fc9b, 0xdf1309dd, 0x17435de9, 0xe0386954, 0x0917a024, 0x993d2726, 0x45b52b84, 0xda6713f4,
+    0x477d1700, 0xc7f132f2, 0xb099cbf3, 0x789598ab, 0x1812a8e6, 0x707444af, 0x23d17206, 0x3db79dc5,
+    0x848dd89f, 0x0a3457c5, 0xbd32b157, 0x27fc5b7c, 0xd12861fc, 0x3b3ce14a, 0xd2898ed3, 0x245c5b05,
+    0x27175c07, 0xea5e5c26, 0xd8944fa8, 0x392c65ed, 0xb9458bfe, 0x10fec0e9, 0x447768d5, 0x1a156d59,
+    0x197b0317, 0xd5c784ee, 0x9117d268, 0xd10fb418, 0xa8ed64f1, 0xf0df0dd9, 0x5c999c5c, 0xf545c6be,
+    0x25deb067, 0x2236e837, 0x4f9c10fd, 0x08e5fb9c, 0x92f27363, 0xbeec2a85, 0x0f7b1530, 0xfad88c0a,
+    0x4adcf6fe, 0x9177c980, 0x10632dd6, 0xb3396d34, 0xf9bda069, 0x0cfb4fe9, 0x35e574ac, 0x444c20dc,
+    0xde7ff95d, 0x0a0064bd, 0xec6f88ea, 0xb9c9c1c8, 0x55bc12fe, 0xfa2b6e37, 0xa71579c7, 0x2615bec9,
+    0x001ac954, 0xf5a75d54, 0x0a049472, 0xf07c6c54, 0xa2cb0609, 0x1eb1083b, 0xc0d6e182, 0x976803d4,
+    0x0aac6036, 0x92df4d30, 0x8cadf950, 0xcaea34af, 0xc813fee6, 0x1677b80d, 0x4f4d832c, 0x62d94626,
+    0x6d94032d, 0xf353308e, 0xa72cca44, 0x1fb57c4c, 0x8d365dbc, 0xfaaf7218, 0xeca17de4, 0x205f868f,
+    0xc859d622, 0x99670702, 0x84f62f09, 0xd5c84bfb, 0xb510844d, 0xdbbfd7c1, 0xefe4c298, 0xa5d33c50,
+    0x1e896c67, 0x29e5929b, 0xc1c90d4a, 0x11d4d1e6, 0xf16680f8, 0xa8c9f03c, 0xb6b7f739, 0x5463f896,
+    0x72f4c92e, 0x89254c24, 0xe7406ef4, 0xdb214175, 0x74197fa8, 0x6bcdca1e, 0x4a0fc5c9, 0xdffcec55,
+    0x969ede6a, 0xc5fb2c9d, 0xb6b6dbf7, 0x88d539e3, 0x403c6e98, 0xa804fba3, 0x95e48f6b, 0xd2199aed,
+    0x2655754d, 0x98479ece, 0x183575f4, 0xfd87ee5b, 0x96f58654, 0xb174b854, 0x72114350, 0x8dbbeae2,
+    0xbff4f61b, 0xea7e1691, 0x931505ab, 0xae23b9da, 0x258e2a1a, 0x3bf0b67d, 0x8a87712d, 0x09a1d07b,
+    0x679262e4, 0xee2f50d5, 0x581f156a, 0x2da66275, 0x0e514700, 0x144596bc, 0x5a2563c4, 0x7dfec3a1,
+    0x3455ea32, 0x3bd3f234, 0x32aac898, 0x114266a3, 0x83fe63a3, 0xd68eabdc, 0xd8f400ef, 0x86e92c3b,
+    0xdbe4f0fd, 0x42a7e0b7, 0x75a80ee7, 0x92651e43, 0x3367a31f, 0x5082954f, 0x77c4b44d, 0x06c8dd4f,
+    0x8d3a9982, 0x4065b8c3, 0x18528bb6, 0xe76b3772, 0xd121d304, 0x994652c6, 0xd0c65f92, 0x3e514a30,
+    0x04727a70, 0x97c63fc3, 0x7038c533, 0x0cbc2d63, 0xa2eaaf5a, 0x435d3330, 0xaf059ab0, 0x83466f4e,
+    0xa98243d0, 0xb5ee85fc, 0xfddfdd61, 0x4e0649c5, 0xcab7ef32, 0xa8a52651, 0x6c5554b8, 0xe5c72600,
+    0x8e9818da, 0x4be8f24b, 0x5db0cef5, 0x02c1e2de, 0x5b1189b0, 0xe0882e4a, 0x1b73692d, 0xb57c8832,
+    0xd2761b46, 0x120412fd, 0x3c425b12, 0x4004afa9, 0xbae6ec4a, 0xd71ee031, 0x152c3db5, 0x1b8290ea,
+    0x08b2d060, 0xfa75f1d9, 0x80d7fbd8, 0xff3ca621, 0x9ce63a43, 0x3de614fc, 0x7ca0e441, 0xc9052ce0,
+    0xd576c525, 0xca964952, 0x24c30838, 0x98660219, 0xe4bb31cc, 0xa397a250, 0xadea6408, 0x097b379f,
+    0x965235f3, 0x648f2fb6, 0x83d4f232, 0xe30cbdc3, 0x219928d7, 0xec7ff05b, 0x33f02c9d, 0x26ab9886,
+    0x3dffca05, 0xd0681439, 0xb4c0133b, 0x013e47cc, 0x63b52eba, 0x8ddc5f2a, 0x41126dd4, 0x9d75deba,
+    0xce3e6048, 0xd7083334, 0x8cb6796e, 0x496095bc, 0x34165b08, 0xa2b2e684, 0x233278cf, 0x5233b82e,
+    0xb97a8d65, 0x1e1b4721, 0x4008bfb9, 0xf37a2bc9, 0x459f217f, 0x34e6fa7b, 0x9ff5025c, 0x3d1a0c3d,
+    0x6ebc4738, 0x5efd583e, 0x0f417bb6, 0xb1b857f6, 0x2c0196a9, 0xf8c17594, 0x7f5a6899, 0x81b1d7eb,
+    0xf8eb9fd8, 0xe6c8ad33, 0x725ab253, 0xb8a66af8, 0x15f1dd9e, 0xc0a23e52, 0x199706f2, 0x37570152,
+    0x73a29243, 0x294e85c7, 0x98029d5d, 0xa8c4a97a, 0x6eaca85d, 0xa6b6f4aa, 0x7cf4ad08, 0x39c20965,
+    0x0e772dc7, 0x19e2894a, 0x8a49a8c6, 0x38aa8bb9, 0x6876b53c, 0xc5a60538, 0xf5fc7acd, 0xb872d2b7,
+    0x08209bf8, 0x28d35058, 0x0cc1cdef, 0x14d40451, 0x8444a32a, 0x182d555d, 0xb886b734, 0xb7a2d352,
+    0x7cc39b38, 0xf191175c, 0x345a4f96, 0xe67e1118, 0xb65540c4, 0xddbcec61, 0x7a3cfb9f, 0x2c4232a9,
+    0xab376b2a, 0x6343a257, 0x937e2540, 0x78377d23, 0x404bcd48, 0x342ab37d, 0x66792491, 0x36ed6b4d,
+    0x13f2b64d, 0x6cfae873, 0x85d8be50, 0x11cd6c96, 0x516fdd91, 0xdecfa4f0, 0x073095a8, 0xb3cd0c36,
+    0x0f13b688, 0xa1e88d7c, 0x08bad167, 0x2ff9f331, 0x8c3c6479, 0x309b283f, 0xbbb67020, 0x20712ae6,
+    0x13d7ab5a, 0xbc5c781c, 0x03ffde0b, 0xe810ee3f, 0x161aba7d, 0xc98fba0b, 0x808d2928, 0x4aea4f96,
+    0x0e9c3113, 0xe3191fcd, 0xeb26dc89, 0x2f904ee0, 0xe14c949e, 0x6f066a42, 0x07b18b89, 0xa9e48118,
+    0x895a6800, 0xdd6b0492, 0xe2bb398f, 0x00730ceb, 0xbc4f58c9, 0xae738c10, 0x22d212a9, 0xe7c58c15,
+    0xcc7ad788, 0x2ae05c90, 0x58ab60ef, 0x083630dc, 0xc24cd900, 0x8b72fc61, 0x654f3739, 0x61643497,
+    0x67adfbc3, 0x290e5199, 0x79977b0e, 0x88c4cffc, 0xb6ce014f, 0x20741b61, 0x37048d02, 0x2a4f8f39,
+    0x2bcf837f, 0x07bfb5aa, 0x1fb778ba, 0x4c065170, 0x361c7635, 0x77f939f7, 0xb5e0489f, 0xb11204b6,
+    0x0a185539, 0x306b44bb, 0xa50db7df, 0xac920bc7, 0x84da1e2e, 0xf831577a, 0xcc35c7a0, 0x493b4e8f,
+    0x2c422901, 0x6df97040, 0x523aa0e4, 0x68764ad9, 0x4be51730, 0x5620eed9, 0xe3ef0acd, 0xd16325fd,
+    0x0ce5ed3d, 0xe7cfa7c9, 0x5ba86f5a, 0xca1efdfb, 0xfb359d11, 0xf008d414, 0x642468fc, 0xc8f8a3a7,
+    0x6ef3cde5, 0xe7fff2af, 0x9ccf7dce, 0xa21e6605, 0x4833cbee, 0x358becdb, 0xc5b7fe99, 0x20807d30,
+    0xabfebc28, 0x0e4c01a2, 0x1a5d1238, 0x6c6b7746, 0xcd88dd0b, 0x5c21f200, 0xd97eb8de, 0xe3767ff4,
+    0x03307a3e, 0xd64166b2, 0xb084965f, 0x7186430d, 0xda099849, 0xc6c3a409, 0x956a9088, 0xf08fcd03,
+    0x53d2ac0e, 0xa3a40e80, 0xe71f5ef2, 0x05d0b583, 0x6dfd653e, 0x1b893a6a, 0xd3ffc967, 0xfa24055d,
+    0xf3a3d085, 0x91b415fa, 0xf8a325ab, 0xdc9ac52f, 0xa6ab4dbc, 0x6a8b5042, 0x05bcbaa0, 0xc4b4c9cc,
+    0x3331bb65, 0x77e38d5f, 0xe26e271d, 0x07acd596, 0xb89f5ba4, 0x382c8eaa, 0x9fead1a4, 0x94d04817,
+    0xf3ecd44f, 0xf89c264f, 0x621ce0f5, 0xe166c431, 0xbfe271f5, 0x741cb07d, 0x18965549, 0xe8d54aa3,
+    0x4b88d3e7, 0x650bfcdd, 0x791e55c6, 0xc0bc31e7, 0x458f6a51, 0x871faa06, 0x8f8c42bd, 0x5f1381c7,
+    0xcb5a5609, 0x57a30410, 0xa62c9897, 0x51a1dd0f, 0xbf94c4e6, 0xeb39eae7, 0xe19970a5, 0x2bdde1a1,
+    0x9fcd3838, 0xd93381ef, 0x5a48e00f, 0x300a2211, 0x77ad3934, 0x0f717320, 0x2d28d32e, 0xb8c2344a,
+    0x92d22f4e, 0x2b3abed6, 0xfad38616, 0x9b575c09, 0xe399244b, 0x9f88ee3a, 0xdea5c0a4, 0xcc0db8cd,
+    0xb0989d77, 0x39093dd9, 0x7bb7fe9e, 0x329adddd, 0x4fa1cae6, 0x7cb74652, 0xebe1c7be, 0xe1399d65,
+    0x0f6bb301, 0x3bf88d92, 0x7d4dcddb, 0xa38db126, 0xc78deeae, 0x769b0956, 0xbb78b342, 0xa6dfc9e8,
+    0x918da4b8, 0xda4630b1, 0x319dc05f, 0x3b7aeecc, 0x83419e7f, 0xfe2406a0, 0xdbd82725, 0x1ed6b33b,
+    0xb2dfab7b, 0xd39c2a58, 0xaee14d09, 0xf21563f5, 0x32df4195, 0x043f621d, 0x27ef6b83, 0x26f4cb4a,
+    0xfd8d8a57, 0x74454fd5, 0x28dca15f, 0x7ea13b55, 0x63e7f578, 0xad174ce5, 0x153eee25, 0x9a955149,
+    0x39aaf38c, 0x9680efcf, 0xa90c32f4, 0xbf4023bc, 0x83fe5d16, 0x05750340, 0x6abd8f38, 0xdf4412d9,
+    0x00cb0d76, 0xc7c7dda5, 0x091a710f, 0xfecae4ff, 0x893f5fd1, 0x3f687245, 0x44104263, 0x1faf493b,
+    0x53083e3f, 0xd95b4970, 0x1749980c, 0x1527ebb4, 0x8e1d44db, 0xefc18ca4, 0x2032e6d7, 0x6d6f633b,
+    0xe4763cc2, 0x58800332, 0x07bf21a5, 0x9881f534, 0x04dae4b0, 0x87453e76, 0xec8eea57, 0xbf6fe322,
+    0xd2753bde, 0xcad65afd, 0x0521fe01, 0xae3003f6, 0x7af0ba49, 0x7c3dcf4b, 0x8627f4ff, 0x209e6533,
+    0x8d3a24a7, 0x84d3ed25, 0x2d31c308, 0x2f0ce936, 0x9c3c9136, 0x69d74abd, 0xf3525ec8, 0xaa8fbf29,
+    0xa45eb1e1, 0xc3b3ab80, 0xb98b2b57, 0xfd67df2b, 0xfe8b8aec, 0xfaa37ba9, 0x25900373, 0x4759ddc7,
+    0x2c1b142f, 0xeee21366, 0x86605a31, 0x3c4ce325, 0x614d85aa, 0xb7dd40ad, 0xd73a1802, 0x56572fdb,
+    0x77c69fc7, 0x1148eb1f, 0x94606801, 0x09e1b332, 0xfad98c70, 0xbaed8dd4, 0x6a4222cf, 0x4fac7862,
+    0xc2602cf5, 0xf6d1fabf, 0x64e76899, 0x9a005e5c, 0x95c8278c, 0xbfb4e016, 0x91c40890, 0xf95a4f09,
+    0xdf02d980, 0x1ff04d59, 0x26ba2dd1, 0x6f5e11c3, 0x03ff0e97, 0x81dfabb7, 0x9f31292a, 0x454f6a2f,
+    0x85cdc45a, 0x82f5ac31, 0x788027b4, 0xcf015001, 0x5d9cc4bb, 0x2701cb04, 0xded1ce7a, 0x29c4a351,
+    0x6e11a827, 0x084a4410, 0x0956cab3, 0xf967f34c, 0x458f9dbd, 0x8754ede0, 0x7ade8a47, 0xdd559961,
+    0x4f4d5e0e, 0x3702ab16, 0x7c912bad, 0xbab20b0e, 0x0b5b3590, 0x677e62b6, 0xd3d83ee0, 0xbb08f2b3,
+    0x645328a6, 0x336a3f8c, 0x606d089a, 0x2afa1815, 0xc171878e, 0xcaa2f20c, 0x127b3335, 0xcd83b03e,
+    0x1b044ff5, 0xdb718c2a, 0xb464796a, 0xbbecca9e, 0xe583fa22, 0x5d098668, 0xeee68554, 0xe8cbafd4,
+    0x984a7e68, 0x9df65c72, 0xd16a8724, 0x9949824f, 0x87d5c244, 0xffc654db, 0x216ad49e, 0xca9d3cfc,
+    0x2ca5a130, 0x7a4ac8fb, 0xb6455bfa, 0x251c2328, 0xefd5af66, 0x8cfcc01f, 0x9f31d4a4, 0x48cf16fe,
+    0xe819a11a, 0x805ec5af, 0x88e149cd, 0xc1a642c6, 0xdbd0522d, 0xcd26606e, 0xbfb4ff0f, 0x67a3a3a6,
+    0x2273f6ac, 0x51006300, 0x524c6dbb, 0xea5c0cf1, 0x702b7be3, 0x36473658, 0xae334cf1, 0xc9ba77f3,
+    0x05b70d2e, 0xf3347e66, 0x8d56269c, 0x94ea8965, 0x9bbf7415, 0x3ddc96cf, 0x67eddabd, 0x7c6e611d,
+    0xd7548202, 0xa0417d2a, 0x05a78b97, 0x020bfad0, 0x4efeb0a2, 0x7c09808c, 0x868011bd, 0x65eec193,
+    0xd4f694d8, 0x846352b3, 0x1fe117c8, 0xc51feaa7, 0x0cd7304b, 0x9a7441dc, 0x56c9a9e7, 0xad7a4500,
+    0xf1358936, 0x1c3a2d67, 0x3f656abc, 0x8cbb99dd, 0x631716a0, 0x119376fc, 0xe22c9a74, 0x623ced66,
+    0x6c092d5f, 0x635fa7bf, 0xd22be50a, 0xc27bc1bd, 0x2181ba42, 0x5e968794, 0x86a939e9, 0xf52d8ee7,
+    0x6c869d9e, 0xabf92b73, 0xb8a41181, 0xd92fe517, 0xe2e8aa0c, 0xc5f23ebd, 0x6d939d0b, 0x3400823e,
+    0xc9ea30c0, 0xce6c1df4, 0x5971f148, 0x09853870, 0x9f6a778d, 0x035960c9, 0x4dd92ba9, 0x43c647ad,
+    0x17ecd333, 0xc1aa316d, 0x1be408e7, 0xbfbe8e6f, 0x044705d5, 0x10cfcb9a, 0xe50f0f82, 0x87df8859,
+    0x15225a05, 0x3b2087bd, 0x027b06e2, 0xceadb9d9, 0x0fe3bdfb, 0xbe4607df, 0x8a03ea43, 0x7ef8fe32,
+    0xb121de50, 0xe1b5a473, 0x4ded64b2, 0xd87ff973, 0x45d1749f, 0xea71a188, 0xcc2a7df5, 0xde577d45,
+    0x7f19bc62, 0x84122c4d, 0x1ba3d95b, 0x24f738ff, 0xd31f70de, 0xdc3307a9, 0xe68f43c3, 0x71b6c268,
+    0x8b3f57ed, 0x2de47d91, 0x844f5a7a, 0xce0d69c8, 0xa64e461e, 0xb3e0667b, 0x8108d337, 0x644ab5b4,
+    0xc19426be, 0x73eb2e0f, 0x22de41b7, 0x49dd76ac, 0x302be0fe, 0xcaec071b, 0xc960045e, 0xb5dd53c9,
+    0x870c5ef8, 0x4b3b5980, 0xb8ce4017, 0x53e8cee1, 0x455e7a53, 0xbc9d3bc1, 0x7ba11792, 0x08ca2fbe,
+    0xe5818a16, 0xc17878f7, 0x18e8d3fc, 0xe3a9ebdf, 0xa5e2e185, 0x364ac87e, 0xf7bdfe92, 0xf749a345,
+    0x908041a7, 0x12c12d6c, 0x24eadbde, 0x7ed4ab7c, 0x4c4e5b1b, 0x8c428507, 0x31bb77b5, 0x939388da,
+    0xf5a7e072, 0xd151befd, 0xbb34d1e1, 0x1dc3dbe9, 0xd1e24655, 0x86776be3, 0x69828f59, 0x4966592d,
+    0x92f81d62, 0x592310f6, 0x8412063a, 0xae88b4ed, 0x6f8bd2bf, 0x799066ae, 0xace88a00, 0x9ea94971,
+    0x4d8db042, 0xaebf1ccf, 0xfb902d9e, 0xb1ac83ad, 0x9f78f2a9, 0xf7968737, 0x8d479821, 0x1e6f5f0d,
+    0x86762408, 0x01080442, 0x61936c39, 0x91e8cc7c, 0x93298c44, 0x1f912f37, 0xfa09091a, 0x90d8ef51,
+    0xb1a67fab, 0x0052eb03, 0x900ac8c1, 0x5ed5eabe, 0x9a53af74, 0x7defd449, 0x2595766f, 0xd5f1d190,
+    0x47189755, 0xd694dbd6, 0xae677856, 0x03eea485, 0xb1f49ec9, 0xeb1c9c5d, 0xf475186d, 0xbcadb33b,
+    0x50b8e259, 0xddf4474e, 0x02d7054d, 0x89358a30, 0xaea042dc, 0xb73505dc, 0x0230c5ad, 0xd86ac61d,
+    0x1bf3870b, 0xe229e3f3, 0x04a98a7a, 0xd037536f, 0xb96c15cc, 0x41b8879d, 0x9cfe33de, 0x78aa0018,
+    0x0372a366, 0x9470003b, 0xa6f935bf, 0x1ea12ec7, 0xc5486042, 0xb55fdb7c, 0xfcf7b9c1, 0xfb1c3db0,
+    0x90f452cc, 0x2d986139, 0x06c96fdc, 0x453aafbd, 0x6337b07c, 0x4ab08b8a, 0x959f6001, 0x50cb8928,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000340282366920938463463374607431768211456 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfe, 0x9b5fb698,
+    0x00000000,
+    0xcfbcd441, 0xc54c7445, 0x335a4008, 0x9a3a3062, 0xee92de79, 0xfa02377d, 0x899709e5, 0x1a4076cf,
+    0x5a0c8484, 0xc73ffe86, 0xdfabebdb, 0x4b69a823, 0xb1ac60e8, 0x28bbd3d0, 0x1c3bb425, 0xd0bdab4e,
+    0xd41817ff, 0xec89db1a, 0x8e1a34ac, 0x74f5375c, 0x1b5e626c, 0x09102657, 0xf3f10e34, 0xbb948b55,
+    0x7dd01676, 0xb5b8ea59, 0x64e8b715, 0xa9146e97, 0x6c1b740c, 0xe24584b9, 0x2e93ef89, 0x0f115a8e,
+    0x37115281, 0x9d2c1260, 0x2bac4e7a, 0xcd86102f, 0xddccd103, 0x7aeb1dc3, 0x6322586f, 0x589d42fa,
+    0x657f5bb2, 0x79861bdf, 0xb5bed39b, 0x922f9b30, 0x820aef1e, 0x8a8e4e79, 0x77b93452, 0x2692e2c7,
+    0xa893ae41, 0xcec0092c, 0x9f7cd18a, 0x00af1488, 0x8ea156e7, 0x65b0e4ee, 0x9be60010, 0xda0dd4fb,
+    0xe6249d03, 0x18784770, 0x7917080e, 0x3376538f, 0x3930d923, 0xeeb9d47f, 0x6e3418ec, 0xd4929578,
+    0xa48b2fbd, 0x1827c212, 0x51c27a1e, 0x3a2c3112, 0xfc08ea7e, 0x4d9e8260, 0xe1037523, 0x75dea68c,
+    0x4c580fa9, 0xff44a905, 0x87c3cc80, 0x109af625, 0x3d4efa16, 0x1f1459e4, 0x0a15497a, 0x95f6252e,
+    0x56161499, 0x3ae223b0, 0x1fbcd32b, 0x1b57319a, 0x42399710, 0x43f50acd, 0xcd47f0bb, 0x510af246,
+    0xac9fdf38, 0xdb96cbf6, 0xcdbdfc85, 0xe7acab1f, 0x763593da, 0xe2dc4424, 0x9b68b780, 0xcace8387,
+    0x3bd1e0e2, 0x2a6e9292, 0xbfabff6f, 0x5f7812e4, 0x061d52f5, 0xa98697bb, 0xfc9d0fc6, 0x861dba10,
+    0x6028a46b, 0xc8ad6929, 0x2bc0ab23, 0x695655ef, 0x3470e33d, 0x3255b9d9, 0x87f7297f, 0x548bf480,
+    0xd87d08fe, 0xcad15923, 0xf139c718, 0xf18e10dc, 0x6fa01ce3, 0x89b96384, 0x87f192d6, 0x6ea76b08,
+    0xfa4b8aae, 0x8a95816e, 0x133befb2, 0xcc50f851, 0x5bccb6fc, 0x4ea0bb42, 0xb4605691, 0x4d760c60,
+    0x85b392da, 0x87330f2a, 0x68eea9a9, 0x1e1b4b4e, 0x62cde284, 0xe2f4c7bc, 0x28f880ff, 0xf9cc5a67,
+    0xfe7832d2, 0x6ad85f85, 0xb09009bb, 0x51a8023a, 0x9cc98966, 0x467a0945, 0xa62c87b0, 0x6b3a0cfb,
+    0xa02e19b0, 0x2e3ea899, 0x8c6ba431, 0x1f6a6873, 0x1f208d0a, 0x05e32f96, 0xaa241466, 0x98b0fe70,
+    0x501fe3cd, 0x2a665c28, 0x2b5f6e89, 0xb9d70d3f, 0x0c10a1d2, 0x1c3735f8, 0x343468b7, 0x8b7f2e03,
+    0xc40de034, 0xb50fc832, 0x91c19a86, 0x0cc46209, 0xdb333069, 0x4f6cb31b, 0xbe25d65e, 0x26153f70,
+    0xe2c7604b, 0xe880117a, 0x82611b2a, 0x19f45142, 0x5c05f912, 0x0ed33456, 0xd38f22a4, 0x3902ff49,
+    0x932772f6, 0xb49d0e24, 0x067b65db, 0x9a470afd, 0xa98ab3c5, 0x4501e03b, 0x6f44e7fd, 0x3c60ce66,
+    0xb1470f22, 0x766366ae, 0xcacea9ab, 0xdc308316, 0x05094680, 0x030e5666, 0x1fa9cb91, 0x4090dc30,
+    0xc2cfb376, 0x9dafdf92, 0xcb05d163, 0xbf5d44ff, 0xf592a911, 0x0113a8f3, 0xc52df7d6, 0x8349366a,
+    0xf755a011, 0x7886bb15, 0x68c24787, 0x14d63dd1, 0x22730bcd, 0x5d084c41, 0xe5819657, 0xddb4e162,
+    0x262b5e7d, 0xd637ed24, 0xbae0246c, 0xf200bca9, 0x7970b458, 0xa5f452af, 0xd8f4a4a1, 0x09169f14,
+    0x3b914b00, 0x12a2db12, 0xb797b846, 0xe0bf827c, 0x2f96d38e, 0xd6c96870, 0x8e1ca103, 0x81071a84,
+    0x477c8369, 0xb498c82d, 0xc1f82414, 0x2d194b6e, 0x2965d99b, 0xcb1b92e7, 0xc5e92cf7, 0x2bea5fcb,
+    0x6e22c790, 0xa800012b, 0x2a3b11f0, 0x21748f42, 0x09eaef91, 0x35eb3d2b, 0x107ca148, 0x96066343,
+    0xa16b441a, 0x2e4e5163, 0x19602d08, 0xaefd1798, 0x662714ea, 0x3ed3f06d, 0xda035653, 0x93e17416,
+    0x5f3ebf26, 0xeeaf813a, 0xc335c438, 0x0597019e, 0x0367f04a, 0x0a67b93a, 0xefe55ee9, 0x49c66b97,
+    0xdfe7e805, 0xd9c37d3c, 0xf6f1e453, 0x7a0d5bab, 0x97e495fb, 0x165a3f8a, 0x414a39bb, 0xdaeec6f3,
+    0x42dd20f8, 0xb5afef7c, 0x0a338aa6, 0xcb21dd90, 0xe1f3b0cd, 0x5edc9598, 0x782825b1, 0x989989b6,
+    0xdcc156fb, 0x3b5efbaa, 0xf485131e, 0x1695d223, 0x9fc685bb, 0x3cc9bef9, 0xf1291b95, 0x014918eb,
+    0x21f42b85, 0x144686a7, 0xa048222a, 0xcb18314c, 0x13882bcb, 0x841f6a26, 0x52fce25a, 0xce9fac26,
+    0x78b63033, 0xe5af3be2, 0xe2e48edd, 0xc100b5ec, 0x0a877aae, 0x34a985b0, 0x7d97f6fd, 0x62903920,
+    0x99aca1ab, 0xb4b73b4f, 0xbe35d19c, 0x0fe52484, 0x31d2cd00, 0xb6abbb7e, 0x9bf662a7, 0x21f946e8,
+    0x347a8703, 0x6b5ccca6, 0x774cc93c, 0x10076933, 0x1d4bc2fb, 0x24f0993c, 0xd33d443b, 0x94758e4b,
+    0x49475faa, 0xce840852, 0xcaf252f2, 0x42eb2e52, 0x3532471c, 0xc878f553, 0x6e081551, 0x5ec714f5,
+    0x68f222e1, 0x3834a55f, 0xe6629f30, 0x0c770cfb, 0xb873cc6a, 0x317f334f, 0x75fe65ff, 0x5464bfdb,
+    0x7abe1ebb, 0x73d61bde, 0x9592dee0, 0x6688c870, 0xf5d710df, 0xe4837f6e, 0x787140ae, 0xb3bf6244,
+    0xf5c003f2, 0x22f1d59b, 0xcffd47ff, 0x6fcf5318, 0xc43502e3, 0xc2b8da29, 0x9139715b, 0xa9b8d900,
+    0x67580fb9, 0xad90c8f3, 0x6b68a847, 0x6971970b, 0x596322f6, 0x7d2be169, 0xaa6238f0, 0xd2cf1191,
+    0x87361f9f, 0x570081e0, 0x90578e04, 0xf1b7dbe9, 0xea58366b, 0x1249497d, 0x5aa85ba0, 0x1f786e39,
+    0xa92d9d68, 0x2f5c77e7, 0x7af47b7d, 0xb2f1ef60, 0xf510a3a1, 0xe3f0ae68, 0x3e7498fe, 0xc330be0b,
+    0xd3009693, 0xd117e1c4, 0xd1a11c5c, 0x5631edfe, 0x524e2635, 0x42a334f0, 0x5470e0fc, 0xad328b1d,
+    0x67d05b69, 0x7e041e38, 0x794b9e99, 0xdfe896c0, 0x07a83f6c, 0xf90359f7, 0xea05b52a, 0x78c7f184,
+    0x57fd0e80, 0xf51d60b0, 0x2b1e7da5, 0x636a25c7, 0x43d4fdaf, 0x83bbc5fa, 0x6a8d05bf, 0xab90eb40,
+    0xe0a5b3b4, 0x9177258f, 0x0d328d96, 0x407afa85, 0x21ce86d5, 0xf31a8cee, 0x6c37a7db, 0x0cb299bc,
+    0xcbc27bd9, 0xaaa15f1b, 0x7925fa4c, 0xeec0a4d0, 0x16615112, 0xf921789b, 0xe486df6e, 0xe3fba2e4,
+    0x1052670c, 0x100e9a38, 0x8c5772c5, 0x28ec8dbf, 0x00cdc886, 0x0e349f7b, 0x6ac9053d, 0xbad29309,
+    0xc13a74b4, 0x977bcda9, 0x039113eb, 0x3ed5940f, 0xc5271550, 0x038b74c3, 0xd0a92f0d, 0x7ffb79f9,
+    0x3c3abf09, 0x85dc85ba, 0xfdbaae23, 0x21f58649, 0x4d88cd72, 0x473cd958, 0x7e96472d, 0xa22161ca,
+    0x9756d72e, 0x15c64646, 0x6bbd8caa, 0xf890ff3d, 0x93042a35, 0x406c7998, 0x2fc72c01, 0x2ec11df4,
+    0xc839a4b2, 0x84ec4694, 0x008e3470, 0xfbe78726, 0x7b93f203, 0x3e9af067, 0x927d71e8, 0x8b3af52c,
+    0x8f158551, 0xda56bfc8, 0x00d62b29, 0xd9210831, 0x3eb7c174, 0x430adc3e, 0x129e4ead, 0x67870f9b,
+    0x64820087, 0x14d70d6f, 0xc05b938c, 0xc588d802, 0x89a65be2, 0xabcd5f82, 0x62b0dd44, 0x20027250,
+    0x5dd58328, 0x8152de1e, 0xe7111d26, 0x7b203003, 0x7b5374dd, 0x716a07a7, 0x82a0afa3, 0x08afcdbd,
+    0x0263f5f8, 0xae2f947e, 0x3f473266, 0x7d9fa5b8, 0x4b311e3c, 0x626b182d, 0xd5f960b6, 0xcae9c65d,
+    0x170137c8, 0xe8ee9ee7, 0xc937a357, 0xb1cd03dc, 0x8b9891d4, 0xaaa8db11, 0x10c359ba, 0x38a560c2,
+    0x7192f982, 0x7c33cebe, 0x4462bca0, 0x37b66475, 0xd82da90e, 0xa4f8b99b, 0x65010c5d, 0xfc7ee92d,
+    0x3d85770e, 0xb3b5e75b, 0xc36b9996, 0x00c4b0ff, 0xcb72f589, 0x06807218, 0x00ed2a40, 0xca223e7f,
+    0x0bf00bf3, 0xa7106acf, 0x1d20f012, 0xb5642f2a, 0x60c69389, 0x8d55d073, 0x3ad885a1, 0xad0b3138,
+    0x19f8fd20, 0xf8d7e785, 0xd39ef4df, 0xdc389fdf, 0xff507ffa, 0xbd3f4b60, 0x8fca1ead, 0xa61f8dbc,
+    0x7993fac7, 0xb39cd872, 0x72e97b40, 0x6331c74b, 0x9bd56374, 0xce5ea707, 0x78a3c271, 0xac4f6b0a,
+    0x528cf3f4, 0x184d7492, 0x51201a93, 0x3ea5b143, 0x32854b46, 0xd1186c26, 0xae9c1959, 0xd2c8af8f,
+    0x57244bf5, 0x4962b10e, 0x2e087dd0, 0x7e27033f, 0xfdcab686, 0x54059229, 0xc67e4dce, 0x68ee326c,
+    0x53d55aac, 0x6f6119cb, 0xc670baf1, 0x11206984, 0x0b1b61e3, 0xfc47e957, 0x6483addb, 0x50584cee,
+    0x6410241c, 0x5c34cb91, 0x92f2c3df, 0x78a0635d, 0x3797e415, 0xa82d3a5e, 0xd8413de6, 0x632cc39d,
+    0xa92ba60b, 0xf3bd8042, 0x1b94b2a4, 0xfde815e5, 0x4df8374d, 0x51c14fc7, 0x7482a146, 0x383e6766,
+    0xf9e66ba2, 0x9fca769b, 0x555197d0, 0x74a6d258, 0x5f998051, 0x356df150, 0xa13fe337, 0x7c3d7d3b,
+    0x264e9436, 0xd286b274, 0x8966e8bf, 0x871ddf95, 0x11ec083d, 0x0f90444b, 0x1f07fde8, 0xf7c9f20a,
+    0x811e5480, 0x9776a7eb, 0xc8ac0619, 0xa3e64339, 0x82dfa37f, 0x5553f9e4, 0x2a3f5359, 0x37ce3086,
+    0xeaea9d61, 0x91156855, 0x08626969, 0xdf39abf2, 0x2e28a3dd, 0x1d9b2473, 0x5fc226c8, 0xeea7fae9,
+    0x2f129e3b, 0xb2b7d7de, 0x3de30bcc, 0x009e1ecd, 0x2de4d417, 0xc4d3e6cf, 0x5dd80191, 0x1d980a0d,
+    0x78708a4c, 0xb161ccc6, 0xd80d6fcd, 0x662b40fc, 0x525f4cf3, 0xbdadc25e, 0x63d09db2, 0x3503ec5a,
+    0x8f02548e, 0xe19c8a87, 0x8e5a3d10, 0xeb33cefd, 0xdfb914d2, 0x55e03339, 0xe5f95b3a, 0x4b9092b7,
+    0x670f29b7, 0xf7a1e224, 0xba36c4a5, 0x82305f2f, 0x1a3f8421, 0x1f0d034f, 0x01b32ef2, 0xcbe7ae71,
+    0xc68de104, 0x403ba4c1, 0x8261ec8a, 0xddefbaf3, 0xe879b53e, 0xd1a7b5be, 0x84d09aeb, 0x63fdb3f2,
+    0xab3da50c, 0x234524c1, 0xe4bad67c, 0xd54bcc9c, 0x5edb135e, 0x4bc28e82, 0xd255081c, 0x410c5d00,
+    0xe54da9b2, 0xfde281e3, 0xe868b89f, 0x0c3c916b, 0xe77dfd01, 0x0606f53b, 0xcd262869, 0xf1cef5e6,
+    0x210d26a7, 0xb13a46a9, 0x9cb8192d, 0x3a44bd14, 0xe314e1df, 0x458c4c40, 0x4fbe8bec, 0x1378feab,
+    0x35f68ac6, 0x5ce86804, 0x81bd7717, 0x1cc1b553, 0x220c99b6, 0x41abbe01, 0xfd52bdb8, 0xf9ab1d90,
+    0x5aa4622f, 0x46457f72, 0x6935d6e6, 0x8224042f, 0x4f8b8d3b, 0x511b07b6, 0xf197f5b1, 0x0126a81b,
+    0xcce7a110, 0x0e4da270, 0x5bff3253, 0x849818e6, 0x498da576, 0xa76569e6, 0xcd7bc615, 0x448e4359,
+    0x266ad8cf, 0x3ed403c9, 0x887f24c3, 0xb1f82dfc, 0x9d0602bc, 0x318fb997, 0x4fc87e01, 0x11be5dcb,
+    0xf130f86a, 0x135a294e, 0xba68d352, 0xbe398ad2, 0xd05b0e9d, 0xcfe9e796, 0xc699ee8b, 0x6cba4e6d,
+    0xe4269a31, 0x107b2740, 0xcb7916f3, 0xefa70745, 0xfd27f6e9, 0xe1a8d6ba, 0xfbe58454, 0x0cf20adf,
+    0xaa1dfa2e, 0xe7fd81d2, 0x5f304aa0, 0x021ae4af, 0xc32fdaad, 0x4c7f80f9, 0xff420a78, 0x0fcbce38,
+    0x21fccb71, 0x6d14ce4b, 0x2af9a405, 0x4b29fdab, 0x42ba71f7, 0xf3e33723, 0x041e9970, 0xd1d401dd,
+    0xd8bdfc47, 0x4a479899, 0xe865b17f, 0x22e9eff7, 0xeecd64cb, 0xcc713a14, 0xbfb215ea, 0x29173fb6,
+    0xeb0c906d, 0xf797ffc5, 0x8a1aa154, 0x626adbcb, 0xd2625f1e, 0x8154218f, 0x8f70342c, 0xeab6f4db,
+    0x7c3248fe, 0x8cade681, 0xeda793e2, 0x10b52dd8, 0xf6b32528, 0x55fb0c5a, 0x750a128c, 0x2124cd36,
+    0xc9043fe4, 0x385bd660, 0xf1ee754c, 0x738db637, 0x41777c23, 0x774fd9fa, 0x9b35c22c, 0x67cb6a20,
+    0x3b404f0c, 0x617fcee1, 0xb6530dc3, 0x92e7cfc9, 0xb0c0070e, 0x7c8d61b2, 0xc378dcf0, 0x1f504018,
+    0x1c2c144d, 0x8f2540f0, 0x53a16524, 0x756996b0, 0x11f66fd3, 0x71c4ca18, 0xf4c7cdf5, 0xea71ac9a,
+    0xbbaed1d5, 0x87d3155b, 0x09328c91, 0x0e163a4e, 0xbb9fc2f7, 0xb08aa2b4, 0x45383307, 0x196f3a09,
+    0xdca246a0, 0x9add2291, 0xb8587822, 0x068d38a6, 0xa1d8bd9c, 0x019eb5f0, 0x7506be3b, 0xefd0ee1f,
+    0x19a76eca, 0x40dde54f, 0x5b55c7be, 0xab9269b5, 0x406089ba, 0x88d094e3, 0x37f79d15, 0x03ae112c,
+    0xf4152552, 0x0aaee33e, 0xb54d8064, 0x82450ac7, 0xb98a6e91, 0xba7c564d, 0x18b0fa84, 0xfce87926,
+    0x8f18a002, 0xc8cbddb4, 0xc02ce3ad, 0x3ffe0336, 0xd5d2225b, 0x75805007, 0x0650e7ca, 0x4c3b9f97,
+    0xadd67bd2, 0xdd92c12b, 0x61412f69, 0x34d48638, 0xa8f99a27, 0x6ad9b9e0, 0x9cd4d7ae, 0xd5c9316b,
+    0xa681142b, 0xa4ad2ea7, 0xa3291513, 0x65c7c57e, 0x0ac69b6a, 0x6ca808ff, 0xe74624fa, 0xee99e769,
+    0x3eca4c4d, 0xd53b9334, 0xbdf26759, 0xf4baf0b2, 0x5f2d950f, 0x5d0db792, 0x2571b9e5, 0xeb9dd8fd,
+    0x54ca37dd, 0x3e117305, 0x6dd914c1, 0xb1c9e31c, 0xf5228387, 0xb81d3018, 0x2af3afce, 0x4a5584fb,
+    0x35a4f789, 0xbc5abb11, 0xfbbd6727, 0x5d27b50a, 0xd1aacc67, 0x82922962, 0xe41a36c8, 0x7fdf37a5,
+    0xd020158d, 0xb1eb4df7, 0x401afdfa, 0x0f57e03c, 0xd0747fb6, 0xa0261d0d, 0x3c8c23f6, 0xaaf24d59,
+    0xe07539a3, 0x62711e6e, 0x740886fa, 0xdf13df63, 0xd87e7c66, 0x8c88be6d, 0xbc1b9d1b, 0x89be1947,
+    0xcc3cd239, 0x8607def7, 0x8b085126, 0x60f54527, 0x0577cc3f, 0xb8bcaac2, 0x7a518572, 0xa07a354f,
+    0xec96671d, 0x907d7e62, 0x1dd2c2e3, 0x161bbffd, 0xe24fe339, 0x53c31726, 0xdc0aedfb, 0x027fbbcb,
+    0x0ca844f1, 0x32829877, 0x0b60b643, 0x524662f8, 0x5b3d5cb4, 0x7429e563, 0xf7582449, 0x31a54496,
+    0x625b61b7, 0x138026fd, 0xcc6be2e0, 0xb3ecfcb1, 0x07f5fa2c, 0xccaa8c6f, 0x54aa05d6, 0xa714f917,
+    0x5cd1f8b4, 0xf381ff16, 0x9e4ef988, 0xaebef64a, 0xb34f7aed, 0x8a956607, 0xa739a4c2, 0xc46f9d0a,
+    0x237d9e07, 0x389b7e77, 0x71c3a7c3, 0x0aed730c, 0xc02c821d, 0xf6f181f0, 0x9306784c, 0xc099c804,
+    0x640b8aa8, 0x9f3ab5fb, 0xfefbbe0f, 0x9ac741d4, 0x04f87dc3, 0x59f38231, 0x387e6235, 0x7ecc0f99,
+    0x674f1b70, 0x015bf976, 0xab969813, 0x43aef3eb, 0xbfdfb3e7, 0xdad5e104, 0x9c3b6d5d, 0xe96be7a9,
+    0x0cfc83a6, 0x96abfbe0, 0x3d69571f, 0xac82891e, 0xe8cfbefa, 0x52aeecf2, 0x696f8d4a, 0xb39dede6,
+    0xd798e1dd, 0x1f56a79c, 0xde2b2af8, 0x58fb95ac, 0x955da78e, 0xc5285ef2, 0xa8f72800, 0x07c04911,
+    0x0e1957f6, 0x44947000, 0x71ac33b2, 0xa72417d0, 0x0f6f3963, 0xd50087b2, 0xf85ece68, 0xbd8cf011,
+    0x9d50ae4c, 0x6c6a3bbd, 0xb44eb05c, 0xe2309125, 0xb939886b, 0xc57d4506, 0x6a0be15d, 0xb99268c4,
+    0x580a3dc3, 0x1b96537c, 0x681596fd, 0xae636c91, 0xf619fa34, 0x9012b223, 0x465f5ee0, 0x6c6d285a,
+    0x248b3bf4, 0x43875ab4, 0x322a06b5, 0xac269cdd, 0x8f6a850c, 0xc302f38a, 0xa583461a, 0xf2ba7d97,
+    0x27f3303e, 0x5794efb0, 0xd47ac83a, 0x6b6acadb, 0x2c36fcce, 0x414979c9, 0xf42d20ef, 0x4f1e1f51,
+    0x8a172035, 0xf757fa46, 0x2e2be6a1, 0x31889197, 0xc66650e9, 0x886dd937, 0xd4a3d1b0, 0x19cacdca,
+    0x4a6c2a50, 0x39b96aaa, 0x596f0df7, 0xc8ca730a, 0xc63167cf, 0x5700c41e, 0xd56341bb, 0xfa9d7fa1,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000170141183460469231731687303715884105728 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6ff, 0x4dafdb4b,
+    0x00000000,
+    0xe69c14a5, 0x10f386e5, 0x39cd3824, 0x7f6b38f9, 0x58b1bf45, 0x0308cc3c, 0xf8cb9927, 0x00b431f9,
+    0xbf483b93, 0x00a74efd, 0xd9594512, 0xaf7b11de, 0x8020290e, 0x0fe10a2e, 0x2d82e2de, 0x33910878,
+    0x23485c40, 0x2693cd2e, 0xcd5e01ce, 0x37795f02, 0x40253194, 0xeacc378a, 0xac597d55, 0xeced1dfb,
+    0x68b82edc, 0x3bf39735, 0x9fb997ec, 0x8ad3cc4b, 0xfe736c60, 0x26a32c4b, 0x75a8ad75, 0x70f9aa01,
+    0x40986975, 0x8d459467, 0xd6514596, 0x1033453c, 0xe9783839, 0xc703f1da, 0x12b2ceca, 0x0e62b8c7,
+    0x855c03c7, 0x628703c5, 0x533db1e3, 0x558aa82c, 0xaa3c3704, 0xa5308af5, 0x0e4908eb, 0xee025602,
+    0x19d1e5ee, 0xfb413d3e, 0xd5a1edc9, 0x1c211219, 0x7325d16a, 0x2c9c7447, 0x82d284fb, 0x709ff729,
+    0x2dc97ce9, 0x2e2e1349, 0x7c0aeaa6, 0x1a858704, 0x31291d1e, 0x927f3d34, 0x27b7e2b4, 0x8c7536aa,
+    0x1e8115f2, 0xcbb70f12, 0x0a48908d, 0x50529f89, 0x3b043d91, 0x3143b6d7, 0xbacb3801, 0xfe334333,
+    0x9cef402c, 0x6ac23a2b, 0x4d68f7a3, 0xec52cee9, 0x265944f7, 0x811166c1, 0xc1d7d5c2, 0xaf22f2d0,
+    0xc3bc6443, 0x1f06460a, 0x42ea24cd, 0x76c5b2c3, 0x49c89df2, 0x79f67cbd, 0xdbf35606, 0xe1b5646b,
+    0x514db559, 0x5ecab784, 0x678a0f7d, 0x6c6055d6, 0xa1c628ab, 0xcf0389c9, 0x76d3a3bb, 0x5bffb97f,
+    0x493c3c0c, 0x695c5273, 0x79a634fe, 0xb82a5cb3, 0x24a8060e, 0x828a6f04, 0xf5724d99, 0xd099239c,
+    0x30c864b8, 0x77b64a86, 0x5d080ad2, 0x1d314ab1, 0xead1d56c, 0xf855f8d2, 0xb919f5e5, 0x6b5cae17,
+    0x546aed37, 0x38cffc67, 0x5c78229b, 0x70b94359, 0x8a686f12, 0x47609f79, 0x11c4436f, 0x1a32213e,
+    0x92399675, 0x2e953e8f, 0xfc2cb47d, 0xe64e8fef, 0x1959dc0e, 0xeb2b5511, 0xcab77843, 0x66b2ee70,
+    0x8d3ecc88, 0x55b835c9, 0xa07f47a4, 0x626f03a7, 0x7658bc01, 0xd05ecaf8, 0x2d016e3c, 0x7bf49ef4,
+    0x7582adb6, 0x6b57f50a, 0xf62c2dc6, 0x7c49f77d, 0x06809306, 0xfd286e6a, 0x9efdcd08, 0xa6dd11d2,
+    0x146e5473, 0xaa44c432, 0x36a0b6e0, 0xc2e74e3a, 0x51a7ab1d, 0xef92fc72, 0x9383de2c, 0xb80a271b,
+    0xd85b4416, 0x2ad81da2, 0x72a9b8e4, 0x0407505d, 0x96ba617f, 0x5509393c, 0xfbd495dd, 0x74ac3ed7,
+    0x78382ae0, 0x077e9f8f, 0xfe015fc5, 0x78272729, 0xfa9b83c9, 0xdf166513, 0xfb8885ef, 0x551f3e81,
+    0x8da42702, 0xf98af0c6, 0x963675b0, 0x305ccd36, 0xa91909ed, 0x180a658a, 0xcd735755, 0x0c033870,
+    0x405f609b, 0xeec52a3a, 0x7405b3c3, 0x9e04b8fd, 0xcb95a16f, 0x4d49c9f3, 0x8084defd, 0x07d9116b,
+    0x0c82d26e, 0xbbf86e1a, 0x5e9065b2, 0x57e29f21, 0x9b41bfbd, 0xa814b8ee, 0x8f1918e6, 0xe058c14d,
+    0xdeecfb87, 0x0b1d9245, 0xdd4d0961, 0x90a790b0, 0x379d3b35, 0xc5dfdd62, 0x6c95a1c5, 0xb7489fe7,
+    0x2bd4c94a, 0xa8226329, 0x4cd87089, 0xbf15119c, 0x4cce59ac, 0xf61d4787, 0xbbb75c07, 0x1736956b,
+    0xbdcb7ed1, 0xa550955f, 0x51abf25e, 0x87033055, 0x515a8669, 0xa5bc4eb9, 0xb2ef0a5c, 0x3bc3ff83,
+    0x9b06ecd1, 0x52084697, 0xdca0784a, 0x9b39eaf3, 0x43a69050, 0x226637e9, 0xff9288c5, 0x7d4ee4e5,
+    0x208d276d, 0xe5affa4b, 0x90060894, 0xea67da49, 0x2b25ba1e, 0x8d5001ca, 0x8070530b, 0xa00af397,
+    0x873c67e2, 0xfed94012, 0x2c1e1bb6, 0xf29acc59, 0x8fd9a6e8, 0xe1752931, 0x80b581f0, 0x7286599e,
+    0xd6ac314b, 0x411a1e1e, 0x0e7d6e90, 0xd2b9b8f8, 0x426d3460, 0x147f6d2f, 0x1f472170, 0x2642d5f6,
+    0x7a3569cb, 0x724c3d81, 0x0cbd8cc1, 0xb327d4d5, 0x7f0553d2, 0x1f530d96, 0x85c2ebb2, 0xefa0fff7,
+    0x0047a982, 0x9fd7a5d7, 0x20500310, 0x03d50172, 0xd9ecb13d, 0x2b3afb34, 0xcabd44e6, 0xc3e65048,
+    0xc8feecb9, 0xff98ec80, 0x879f1aec, 0xa08f7b2d, 0xc156f794, 0x347f28b2, 0x5053b0f5, 0xf6c3dd5b,
+    0x279a91b2, 0xf998f23d, 0x0e9c36db, 0x20ecc060, 0x31657988, 0xd89474f0, 0x78b02833, 0x0b115118,
+    0xbb625673, 0x20922e79, 0x33afdc74, 0x4d5f0f48, 0x20a31c82, 0x44a1c71c, 0x4c4344b6, 0x319b63fa,
+    0x65e929a8, 0x3515caf8, 0x6f75d018, 0x7cce0ba6, 0x3f3ca12e, 0x6501138b, 0xb10ad3fa, 0x5ef42217,
+    0x16df256c, 0x5cb25467, 0xec036ea1, 0x7b556429, 0x9d01fe35, 0xd805f279, 0xcb20585f, 0xb5c3bc23,
+    0x46ec27da, 0x3020d096, 0x5e2d5e6a, 0x71140c8b, 0x97d8781a, 0xfcd42290, 0x23d37aa0, 0x4dbe57bc,
+    0xd1f5c1c3, 0x1f011f9c, 0xd62509c9, 0x29c42d67, 0x2410399b, 0x5ef128ce, 0x17fcd9b2, 0x25be45ff,
+    0xc704b4ad, 0x385dc29c, 0x3dcb70ae, 0x53fee992, 0x017f540f, 0x7e0d95ea, 0xe601468c, 0x6a8a5aa8,
+    0x62655b74, 0x7bffa9b1, 0x97f2f8c2, 0x13d1a409, 0xe84f4d5a, 0xf1384221, 0x63613de5, 0x63fcfab3,
+    0x08c6d15b, 0x5cf6de3a, 0x9450c47c, 0x7658d582, 0x08d6613b, 0x725be487, 0x69c41baf, 0xa8911d19,
+    0x33963cb6, 0xd7364994, 0x50e92310, 0x764eeef4, 0xfcffbf7f, 0xb317b162, 0xc6b67502, 0x4e744eba,
+    0x76ea2d32, 0xffa87f38, 0x897b15a4, 0x6dbc6362, 0x4fbdbc3b, 0x156433c6, 0x5d9130b1, 0xf5a96120,
+    0xe9706337, 0x83fec999, 0x27fe304b, 0x76b6d353, 0x950575f7, 0xa33a1af1, 0x3e17f1ac, 0x67f8d40e,
+    0x6d106015, 0x37a34fcf, 0x0b23d112, 0xd88ee494, 0x74c8566d, 0x8b025acc, 0x2b0bd2b0, 0x79136b7f,
+    0xff47b3f6, 0x113f8af1, 0x70c2fa51, 0xd33ae12c, 0xf3fb04a7, 0x373726e1, 0xd69ed14f, 0x8322920e,
+    0x5e9e032d, 0x87a74825, 0x70152a91, 0x57d5bfff, 0xaba58baa, 0x239f1904, 0x220b37fc, 0x8b186d6f,
+    0xa39a384a, 0x132fd812, 0x30256b88, 0xbfc50500, 0x3d39d315, 0xd472ac17, 0xe117de46, 0xba470fbb,
+    0x20f5a50b, 0xc4f4c388, 0xe4013b50, 0xb6353168, 0xbc148ccb, 0x5642d432, 0xb2513a11, 0x293f1b2a,
+    0x03c8b298, 0xc91d4de7, 0x23601fde, 0xa5c48bc9, 0x38b41edd, 0x71e48eb8, 0x6cacbdb7, 0x19dabf1a,
+    0x1c7294a4, 0x8e8472ac, 0x81d5db36, 0xff8f630c, 0x33af6b00, 0xe1ca0f4e, 0x1beaa2e1, 0xd847f4f0,
+    0x3583f4cc, 0x461ead51, 0x9bb8a81e, 0xd5c01d98, 0x36884678, 0xc312bb78, 0xf0f6f679, 0x3de63bcb,
+    0x0d96b810, 0x6e080f4f, 0xbf5d2ac4, 0xa63c986f, 0xd162a4c0, 0xa6ae8209, 0x9ad0473e, 0x3bf819a1,
+    0x2ae654c9, 0x3007aa4f, 0x388dee4d, 0x85c4863a, 0x4168feef, 0xaa5c47e9, 0x93cb1a22, 0xf1b099ff,
+    0x56074bb2, 0x7dcc4f96, 0x7d4a1923, 0xdf400741, 0x8501b1a9, 0xdaf30abc, 0xfbf7b6c8, 0x00f0f1bf,
+    0x242ed5a5, 0x3c3cae37, 0xf82b40ce, 0xd8f7c3ac, 0x42050e85, 0xd927dc62, 0xc72812c6, 0xa40deda7,
+    0x815e1f36, 0xea0dcaaa, 0x5ce27af2, 0x4b6f69d4, 0x6434f2d9, 0xaed0fb55, 0xacf745ff, 0x99a288de,
+    0xe3a46222, 0x4b026645, 0x41dc674e, 0x3e49edca, 0x404860db, 0x28096e1c, 0xf50cc5c3, 0x005618e3,
+    0xf9cc2b54, 0x0b973ebd, 0xc24ce129, 0x497646f1, 0xa81d471a, 0x905ca937, 0xa23196e9, 0xa1ee8f27,
+    0x399e5e96, 0xe2828a0f, 0xac06d387, 0xf0ec729e, 0xcfe061ba, 0x8dda1810, 0x3e062d11, 0x59660133,
+    0xd31245ae, 0x31ef3ef4, 0xbce23e05, 0x4611ea0e, 0x0f36d060, 0x0e06b388, 0xc40048b7, 0x21cf8b4f,
+    0x4913c4b1, 0xf6475ea8, 0xc021924c, 0x31a42522, 0x0050e2c4, 0x5bcaa7a3, 0x02ac0885, 0x5e872fa3,
+    0x00cbacb3, 0x66e753d8, 0xddfa14f1, 0xc65c298a, 0x4de8eee1, 0x81d5fa04, 0x9a7dd5e8, 0x114d37a4,
+    0x2dc64fb2, 0x4c5bc999, 0x19c7f077, 0xda39ddd6, 0x9e252106, 0x08bf8cc1, 0x934db799, 0xf1dc32c0,
+    0xc45101e1, 0xa09b44f1, 0x7db9c544, 0x317d0994, 0xd3734bef, 0xd58601fe, 0xa0f0ee65, 0x94c7ec97,
+    0x9808b5a4, 0x8b78a069, 0xa63dfbe5, 0x56116608, 0x82bde260, 0xe31d276b, 0x9efc8dc4, 0x21d9e6fd,
+    0xc3e10233, 0xdc4cba59, 0x9647aad3, 0x4d299a7c, 0x2ae75570, 0xd3f8e2a7, 0x16126d57, 0xbc4c0463,
+    0x631864ef, 0xa4027fde, 0x5822ed0a, 0x5144bb02, 0xaa32414f, 0x24355b9e, 0xe21e7390, 0xdc2e2ee6,
+    0x8806c4d6, 0x6f834adf, 0x6b754efa, 0x47e9c173, 0xb29f1a96, 0xb94b522f, 0x7e33d287, 0xcff2c5da,
+    0xf9ebf335, 0xd159f829, 0xc3d30f7a, 0x5e669b3e, 0x450f05e7, 0x7d35f05f, 0x40b647fe, 0x3e8e12a9,
+    0xbbbb2e2f, 0x1894dd79, 0xd424e714, 0x71f51e2b, 0x301e3b1d, 0xa3dbf27c, 0x4ffa9601, 0xdbf40ae2,
+    0x8ea2dc19, 0xb7322b03, 0x216c5953, 0x7732b1d1, 0x5041bb0f, 0x044d1e49, 0xc40fd91e, 0xac1b81ca,
+    0x29bc6cac, 0x4786205a, 0xd0cafead, 0x40857979, 0x51f30f00, 0xf038b942, 0x80bf1a21, 0x4e545336,
+    0x4a9548ae, 0x4677a859, 0x9485b751, 0xc24e75d0, 0x81794633, 0x69a262d2, 0x045258b6, 0x37847083,
+    0x2ca125b0, 0x10f218cc, 0x4983f47a, 0xf45c4986, 0x6f04b5ba, 0xb012de3c, 0x4110287e, 0x3a46d36a,
+    0xb3f390d0, 0x812cd472, 0x5f120748, 0x122fa894, 0x54a35b70, 0x8dd6ee62, 0x72f2e9d5, 0x6bbca9f9,
+    0xe7c6c1b8, 0x0ab3e506, 0xf4b9f999, 0x19b2f22c, 0x887df37c, 0xd788fb40, 0xa7ef0339, 0x17f40e25,
+    0xaabc6ea5, 0xa39df7ac, 0xce06e2e7, 0xca96ecb4, 0xb84bf1f9, 0x8a2e2dd1, 0x4ea7f9d8, 0x8106d86b,
+    0x934a3ed9, 0xf87086d7, 0x094174b1, 0xc238da35, 0xf9ddb359, 0xe2cfcb78, 0x0d9ed3c0, 0xab6f6cd7,
+    0xfa71d5a6, 0x50c31cc6, 0x6a4ab871, 0x7eb88bac, 0x51d3b56f, 0xe46a7925, 0xf60b67a2, 0x627bd085,
+    0xb63234ee, 0x8b6de679, 0x5bd36285, 0xc3e9a044, 0x68572c2d, 0x2e3683ba, 0x57992648, 0x8375fefb,
+    0x1b195ae1, 0xb45849e2, 0xa1538b9f, 0xc4ffe68f, 0xb868b06e, 0x51d1bda3, 0xdcc7def2, 0x8d5dfecb,
+    0x5b5cb9f6, 0xaf7fa54b, 0x28b9cfa7, 0x0e3e4046, 0xfa79c96f, 0xb794b926, 0x27cae714, 0x5701af4b,
+    0x07b9151e, 0x09e21271, 0x13a68023, 0x87eafd91, 0xb60ab49f, 0x5648bc53, 0xca146e56, 0xac2f6606,
+    0x9555959e, 0xfc74768f, 0x5ca58062, 0x304a286f, 0x4d49f500, 0x88274eb3, 0x388192ec, 0xbdf064ea,
+    0x181dd727, 0x53d7fff0, 0x0184f435, 0x577f1b7f, 0x83919405, 0x482705e0, 0x9f2946e9, 0xad9e915d,
+    0xf7d49d6d, 0x9fc0e75a, 0xf88d391b, 0xeccf4446, 0x25b09076, 0x31411282, 0x9bbd2ef8, 0x46d11b04,
+    0x4ba6050a, 0xb0d2395d, 0x38621658, 0x76f39c94, 0xfd529582, 0x0bce956b, 0x0434489c, 0xcde9a1a8,
+    0x8b4cda21, 0x999a9ee9, 0xe1264107, 0xbf04e2ba, 0xbee9b901, 0xa2b879e5, 0xf354b007, 0x073aa958,
+    0xbc79d4c3, 0x2b2182eb, 0x9ab19a82, 0xd112f697, 0x805e287a, 0xda5a1b6a, 0x0d7fb620, 0xd6bee827,
+    0x2ac5bfaa, 0x22fca1a7, 0x7d111176, 0x0d6d91bb, 0xfc9f328c, 0x7dff2eca, 0x86b85f78, 0x4c5eb978,
+    0x1a8ad649, 0x050bea32, 0x68763e64, 0x6db8c0e7, 0x948038d3, 0xefda5ec7, 0x3665f86d, 0x41fe1efb,
+    0xe4620665, 0xe6cf7ab6, 0x75fc6127, 0xf11aa850, 0xdab541d1, 0x1ef6d43e, 0xd5e8e92a, 0x4e83e9b9,
+    0x3d4da9d1, 0x662a2180, 0xc9a3a925, 0x8df659c1, 0x9883ca71, 0x691bc1d7, 0x9824621f, 0x53da7647,
+    0xa511fa34, 0x4fb67c06, 0x7948dbb3, 0x1ae2db46, 0x74996ee1, 0xaee38596, 0x0dbe2950, 0x2e423ecd,
+    0xc9140e85, 0x98c8d7dd, 0x2f03f687, 0x7b7a26d4, 0xa33d004a, 0x15f87e86, 0xf3638d38, 0xb97e324f,
+    0x12d6e7fb, 0xefec122d, 0xe6db64d4, 0xa40ee37e, 0x85037c7d, 0x3190f9ce, 0x6665243e, 0x14b2b64e,
+    0x31e3ed9a, 0x80f9660f, 0x6a88afbe, 0x131f835f, 0x804f1317, 0xd884959c, 0xc5c22846, 0x87ad269b,
+    0x3ced822d, 0xf1e9bdba, 0x3b82501c, 0x068d6bc4, 0xaf3a1964, 0x2538b9e2, 0xf7693186, 0xd33bf301,
+    0x2196cefa, 0x4faa5803, 0xd010d7b7, 0xe9d36d93, 0xe611912f, 0xd4eb7336, 0x4671d06a, 0x7e3a35c7,
+    0x6847f9f2, 0xef11b115, 0xde3fac30, 0x9fc72a35, 0x4e93f66b, 0x3abc36c0, 0xe27d84ae, 0x98629c98,
+    0x5c0a4748, 0xd84bc75c, 0x6160c069, 0x5424d1e7, 0x9b69688c, 0xbf59629a, 0xa44e3ed2, 0x335dbb52,
+    0xdce41007, 0xd1343fbe, 0x10b9b970, 0xb1bbd0e6, 0x06d9562a, 0x09047e8c, 0xf739fd0d, 0xa7c2ec7c,
+    0x72e4ed7e, 0x9046527c, 0x46f2ce60, 0xa66e720f, 0xd1440628, 0x73768ae0, 0xb7648045, 0x1665140f,
+    0x594b236c, 0x408d40f1, 0x7ed488b6, 0xd9f133f4, 0xe673d107, 0xbf58d7ec, 0x64bbb7ba, 0x8cc9c197,
+    0x07d80b33, 0xbe80a902, 0x42fdaa96, 0xa8d93194, 0xb5208d11, 0x236b6f8f, 0x4bf050d1, 0xca29d276,
+    0x44a8cb06, 0x7027fa5f, 0xaa00f163, 0x47d7b2ed, 0x6e18a4d7, 0x09970b23, 0x02456199, 0xd460f351,
+    0x2f876a1c, 0xe2df6ffc, 0xa5157ecd, 0x7f86f903, 0xb245cea8, 0x2297fcc3, 0xbd00ce4c, 0x70b73617,
+    0xd6d2612a, 0xc2722995, 0xffe17280, 0x19171bc4, 0x60d8d98f, 0x8aa913a0, 0xfab231cd, 0x40ff90b7,
+    0x30056ba1, 0x84312a91, 0x88400de1, 0x255c26e2, 0x49af6968, 0xc3d14c61, 0xe393bb94, 0xd4b91dc7,
+    0x9dcb0bd1, 0x7cf78ef5, 0x7885c7a1, 0x37e57d8c, 0xc798e13c, 0xe8d38261, 0x215309c6, 0xa003bf99,
+    0x7e552f0c, 0xe9e31fd0, 0x49d1d0bb, 0x5f20e755, 0x52639a46, 0x59e9812a, 0x6520e844, 0x82845341,
+    0xaa3fa00c, 0x4345f061, 0x97de4360, 0xd75e2162, 0xcd3faeef, 0x410a1f7a, 0xf34f5010, 0xbfd3cc80,
+    0x1f656da4, 0x3881ebdc, 0xa3233798, 0xb52ae2bd, 0x213054eb, 0x65d06810, 0x2da0496f, 0x9ad85586,
+    0x5d9c180a, 0x21b984a0, 0xc32a261e, 0x47886905, 0x8359766b, 0x0a6ad9bc, 0x199ed57e, 0x9e82f1c1,
+    0x40210ca4, 0x974bceb3, 0x424c3549, 0x1973c5e3, 0xbde0737a, 0xa7f3c162, 0xd778af49, 0x78cce71c,
+    0x2bac3494, 0xe5d52adb, 0xf90a70a2, 0x56529403, 0xe4e38579, 0x7a0c47ba, 0x03925499, 0x23d8cef8,
+    0xb3e1fb34, 0x29c39865, 0x982b7780, 0xb4ae9cb5, 0x2852a903, 0xaff28420, 0xc1ee89d6, 0x3cdfe19d,
+    0x43c224c0, 0xf80cb104, 0x02c78e84, 0xf1097a9a, 0x00da7adc, 0x207d5af3, 0x8a4eb048, 0x4d94fbe6,
+    0x065cf25a, 0x4dbb91f6, 0x02477ff1, 0x28589c44, 0xef4c1931, 0x84e0324c, 0xafe530e0, 0xca2d43ac,
+    0xa4adb4cc, 0xc540dedf, 0x83264a3a, 0x30937cde, 0xec9a3364, 0x86d7d8e5, 0x80369574, 0x5067284f,
+    0x444a9f44, 0xe900517e, 0x7aa46678, 0xa4144641, 0x6256ac86, 0xeca516f1, 0x43d34e86, 0xfeb34ccb,
+    0x395e9dd5, 0xc23867ed, 0xe4a55a7b, 0x0fc1ec87, 0xcad74cca, 0x81772c3a, 0xad1d30d2, 0xfdfdc66a,
+    0x5a20e657, 0x7c3c9621, 0x9e1e0377, 0xb7bd6976, 0xe49ee8ca, 0x0af0b9ba, 0x5cb293a5, 0x837ecd49,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000085070591730234615865843651857942052864 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7f, 0xa6d7eda5,
+    0x00000000,
+    0xabcee2e6, 0xfb3afbe8, 0x8abc2c0f, 0x7d6cf334, 0xba27b547, 0xf514c5d8, 0x5f011aff, 0xb466101f,
+    0x7c6423c2, 0xaf0d8d5e, 0x71f3807d, 0xe9e2053a, 0x52cd31df, 0x4051061c, 0xa0f17b2b, 0xc4b01b0f,
+    0x0bc72383, 0x98d98792, 0xb7556f4e, 0x0787f915, 0x0caea8dd, 0x4618d217, 0x496d6a1c, 0x2ce8ad8a,
+    0x2dfd8aea, 0x7d03777c, 0x15f6ffde, 0x2a42f5bf, 0x2cbdf6fd, 0x209a66da, 0x281fa6d5, 0x1193d283,
+    0xe8a7f9c1, 0xc2c41f39, 0xe1633b8b, 0x91b4f5c6, 0xe53aebd0, 0x4c173f8f, 0x9e006799, 0x2ab7aa3a,
+    0xa99c4b4b, 0x42dedfe5, 0xe8a44960, 0x7f24f65d, 0xabeb814e, 0xd5c76c09, 0x201de6da, 0xdd944408,
+    0x9cc70289, 0xe2845677, 0x89d4a363, 0xf178acfb, 0xedbcb645, 0x6ad2257e, 0x1453a8ae, 0x21e9003c,
+    0x15b4dc76, 0xf702b510, 0xf6acd032, 0x6f33ea9a, 0xd6baef5c, 0x262e5910, 0x1d3f7456, 0xc58311bf,
+    0xb77c7b26, 0x8aa829b7, 0x08bda452, 0x3998de50, 0x8962e564, 0x813d48fc, 0x2a746dd9, 0xb145f3d6,
+    0x96492a03, 0x16f721fa, 0x802ef2d6, 0x03696a9b, 0xb19a02df, 0xf22f39b2, 0x19d23210, 0x00862760,
+    0xe512ab8f, 0x8c71d820, 0xb7c4851f, 0x98723932, 0x1586f336, 0xc19bd9bf, 0x77944283, 0xac6a6187,
+    0xaf125ffe, 0x385e4b12, 0x095f1192, 0xb12b1bb6, 0xa81370b3, 0xf1573508, 0x0e015acd, 0x8f7f5983,
+    0xdff80c66, 0x6bef25da, 0xec9a8fdb, 0xaee293c2, 0x63a78ea1, 0x7ea1f460, 0x5129e84d, 0xb7e70caa,
+    0x16bc560b, 0x1a350f85, 0x6158c647, 0x2f951db9, 0x10285a15, 0x67fd6b1a, 0xb30c5966, 0xffed4be1,
+    0x0beb03e2, 0x505a6a75, 0x29bfa145, 0xd9a2761d, 0xae899324, 0x1b8b24cb, 0xe9e1ee4a, 0x7d44ba0e,
+    0xce6b25c6, 0xd8aeb89e, 0xf615ba03, 0x16b4001f, 0xdeba1086, 0x450fdea0, 0x5a96325f, 0xc8b82432,
+    0x44197d93, 0x8e07e3be, 0x5287116d, 0xbd94bc49, 0xc1cb0e65, 0xc2400662, 0x715909ea, 0x5604e1b4,
+    0xc1b214e2, 0xc5c44d49, 0xe97bfce2, 0x5cf756d3, 0x26d12101, 0xb489ac12, 0xae4e7209, 0x3e39e485,
+    0xb440d76c, 0xc40ed734, 0xd566e1b7, 0xf8beb969, 0x71a1779d, 0x1f6fffdc, 0x69326825, 0x39ebeb2a,
+    0xe278df8d, 0x3c611f7b, 0x0145f2b9, 0xdd8b13ae, 0xd2d77f82, 0x7701e581, 0x300832bd, 0x0d6756c5,
+    0x1566496b, 0x6f8b6e6f, 0x74dccedd, 0xb6ea3797, 0x395ca55a, 0x210e71ce, 0x5ad83117, 0x8b0ded8e,
+    0x006d1a7a, 0x4fba5601, 0x8ba973ef, 0x05acbe41, 0x0422d9ea, 0x1abfb693, 0xe3aa2424, 0xebbed593,
+    0x66e5f9a5, 0x96986a73, 0x318dc80d, 0x86fccd89, 0x85504ac6, 0x6120e01a, 0xfcdf3d2a, 0x15484378,
+    0x2a3de798, 0x32a2d1d4, 0x3c57eac2, 0xe0bc56ae, 0xb6e4804e, 0xecc6e299, 0x405a62f1, 0xb1c3666c,
+    0xdfd94d80, 0x82dc5111, 0x109d887c, 0xa46b4851, 0x482011e4, 0x7b81adaa, 0xdb999075, 0xbd65b7b0,
+    0xde763c58, 0xfaa0c05f, 0x664bc54a, 0x0d5d2cde, 0x8e29f3d5, 0xd815a76e, 0x8ba495b0, 0x8983f092,
+    0x3dfa5b38, 0x32fd5d99, 0x08771276, 0x98fe8b5f, 0x9b3f85eb, 0xb09c6547, 0x3e0f0daa, 0xa71b532a,
+    0x3a5fe27f, 0xe1f4ad1d, 0xffa3d4c7, 0x99367010, 0x6014a001, 0xbe4a83a7, 0x0f63aad1, 0x8dbd8aca,
+    0xd2eacca2, 0x349c29a8, 0x5b1f7349, 0x6ccc0e33, 0xa8ca9ca4, 0x36381041, 0x7364dc57, 0x018d00c5,
+    0xe641b38f, 0x5fad72e8, 0xde7e7c0a, 0xe96fd8e4, 0xc0d134d8, 0x544f3a57, 0x32585184, 0xcaace951,
+    0x6e8108fe, 0x6296ed4b, 0x6d0c666b, 0x1e1f61d7, 0x23edca59, 0x45be378b, 0xd457c5bc, 0x0eb436c7,
+    0xb7ea8fcc, 0xa6be71a2, 0xd4d84c00, 0xab45cf35, 0x0f7c37a4, 0xcc1afdc0, 0xca84b753, 0xc8db6231,
+    0xda30d77c, 0x7f7c9374, 0x715f0466, 0x16fb8bc7, 0xab4f3dbd, 0x578cba9a, 0xf9031bf2, 0xce7aea79,
+    0xd980ae35, 0xf8ed6018, 0x92fd2e26, 0x98711174, 0x7b6e1ad5, 0x5c29bfe5, 0x100f6abb, 0x4b3f7200,
+    0xbbbc4644, 0xc5a9e210, 0xca21de53, 0xa0dbac36, 0x285a8ceb, 0x62edc0ad, 0xfaee2936, 0xeeb13e6b,
+    0xf015a5c5, 0xcef9913f, 0x88cfa6a0, 0xe332e774, 0x29e6efc3, 0x64862f90, 0x77c9c4af, 0xd2ce63df,
+    0xb92d8cad, 0xd89d6fa8, 0x78f01135, 0x688ab7fa, 0x392bade4, 0x5abb0077, 0x14819647, 0xfd5eaaeb,
+    0x1f49f405, 0x6e3adda3, 0x68738ad4, 0xe3abf74b, 0xe78c472a, 0x99bf1a01, 0xf30ce128, 0x33f7e8ee,
+    0xd49c7cc1, 0xc91976b5, 0x4245af49, 0x95acdf68, 0xf198b88c, 0xd6b326c7, 0x96a67b3e, 0x33b83edc,
+    0x76f9ec3e, 0x93737530, 0x62f0fc38, 0x795d9d47, 0xe44da05c, 0xdbfce48f, 0xb0a898d7, 0x2d60b435,
+    0x0d7bb1d5, 0x494ad53a, 0x54d0423c, 0x0e0a6eea, 0x8eb29fe9, 0x627c9dcf, 0x5e486f68, 0xc475e767,
+    0x5be48cb0, 0x725f2f6e, 0x07d5442c, 0x0502e5ac, 0xa0a219ca, 0xf71fd9e6, 0x745c32d7, 0x2cf1ba39,
+    0x5688777d, 0x0387385b, 0x63eff52c, 0xb1369f15, 0xef139c54, 0x1d55e2f0, 0x595e9d16, 0xa8adb4b6,
+    0xc3cd9fb6, 0x49fcc95a, 0x4f631735, 0xb857f17f, 0xb7a2a6cb, 0x35945c0e, 0x99957dc8, 0xa14d9255,
+    0xbe3ae1c3, 0x89e05ea3, 0x29d48a1e, 0x1c8cb16f, 0x5ac83f42, 0xe605d2d1, 0xad2bd349, 0x428d82b7,
+    0x9258983d, 0x0ef11731, 0x133b7b09, 0xe6e9e37f, 0xef708263, 0x81272c5a, 0xb2d0e75f, 0x967017c1,
+    0xa50da46b, 0xf2134c21, 0x9ea71910, 0x6f644a6f, 0xab8e789b, 0x01d69a48, 0xf5c7bb1d, 0x751ebcb7,
+    0x1474dcba, 0x4d247ea4, 0x0b5b35d7, 0x464d45e3, 0x912717de, 0x27405733, 0x65d75c43, 0x2839f720,
+    0xca489335, 0x2b922f21, 0x2948677e, 0x3219d899, 0x9c149ddb, 0x653a677e, 0x5f18a785, 0x3d7aa3cb,
+    0xa65c328a, 0xbfca93c7, 0x61ed20be, 0xb23973c4, 0x6cb2e06a, 0xb5a79bc4, 0xcfa6d80e, 0xf52ba3e9,
+    0x7fa73895, 0x5fbb3260, 0x6550fa6b, 0x10f9170d, 0x7982de1b, 0x0fcedc57, 0xf4406a26, 0xe3dd4ef7,
+    0xb522e9df, 0x37e37136, 0x8507df15, 0x118b2908, 0x92b4f7fb, 0x14a67ed4, 0x3d298d63, 0xc9653659,
+    0xd47bd04a, 0xbf6d428f, 0xd09a1086, 0x84167d49, 0xe242d0ee, 0xeff3e7b9, 0x64f35ef3, 0x8e5155c1,
+    0x045e1b40, 0x29187dae, 0xc189c858, 0xd1b46245, 0x024f0abd, 0xb6fd0752, 0x942fea21, 0x3a38b6fb,
+    0xb4321754, 0x35978c0c, 0x3ec03523, 0x4d1213a2, 0x2b7afdb5, 0x07cdd4f8, 0x47d1cb31, 0x26d394da,
+    0x74c08b13, 0x9cb7ef9d, 0x0490bc2d, 0xe5cafb7a, 0x8ca033eb, 0xdacaec8a, 0x10052a72, 0x210cdcfc,
+    0x1a96e637, 0xfd97b9d1, 0x822e47a7, 0x336260fb, 0xdf6594d0, 0x632578d7, 0xa288d3b2, 0x400a99a9,
+    0xc9abcf6b, 0x52a3bee7, 0xafa25e05, 0xc58c48cb, 0x5f323e16, 0xd391ad42, 0xb1c58fac, 0x5c3632ea,
+    0x14d8e1bf, 0x437d1fa7, 0xd721c402, 0x20aabd52, 0xeb7875a6, 0x3963af22, 0xe28eac88, 0x650fdbc4,
+    0x57377c0c, 0x44589efb, 0xf853c1de, 0x9886c32e, 0x4fef3b72, 0xc3aa54c0, 0x82f89b84, 0x4f4bc4e7,
+    0x042a2d07, 0x8e73aee3, 0xf94eb60f, 0xf8b8379e, 0x29d5ca06, 0xf10fad22, 0xb8880218, 0xa23a4fa8,
+    0x53fb01dd, 0xdb0a9f49, 0x50ee4500, 0x36aeea94, 0x04a12a5e, 0x96c59cc8, 0xb51ea23c, 0x32895395,
+    0x187244cc, 0xbec5905c, 0x0493e6e2, 0xe40a7f17, 0xc1b92c8f, 0x147688d6, 0x62686d58, 0x1869d9f5,
+    0x633f3938, 0xfe4e40ba, 0xa84c8697, 0x63aeb2b8, 0x803b6aa2, 0x66de6ea5, 0xde856f4d, 0x7cc0cc99,
+    0xa531561e, 0xf9cfdcd9, 0x8453d261, 0xfda38626, 0x2e89de15, 0xd10fcc10, 0xbaa1d1e9, 0xe52e27c0,
+    0x0b4d8d9d, 0x4193592a, 0x7be0b480, 0x3773c7b6, 0x0be77756, 0xae5d0094, 0x9bcdce5a, 0xc789a79e,
+    0xa9b7736b, 0x7c42846f, 0x91d969a5, 0xca6ddbdd, 0x679b0d85, 0xc5220d1f, 0xdb1974a4, 0xd2f77f7d,
+    0x21fba1b4, 0x7f95f45a, 0x53c80f42, 0xd41faea4, 0x5cdb5ed0, 0xb7959c1a, 0x02f7af1e, 0xc6c87089,
+    0xd6f39e37, 0xc0ecadfc, 0xa68912c9, 0x755980da, 0xc3674276, 0x1349aacf, 0x37b847b2, 0x988a4662,
+    0xe9e38a81, 0x37944282, 0x375405e3, 0x35209f20, 0xc9c59999, 0x7615c096, 0xfb5dc226, 0x5dbafbb1,
+    0x3669d17b, 0x4e78b9eb, 0x150275e8, 0x55ee1a29, 0x817fd931, 0xb2e37541, 0x49fe608b, 0xfea971cf,
+    0x277ce461, 0x2f14d620, 0x6d6b3354, 0x1393a9e3, 0x7ff8e85c, 0x4490c7dc, 0x1e597972, 0x7d83bd17,
+    0x4db6fea6, 0xb3f70b8a, 0xc33a1312, 0x72e2cff6, 0x8442eddd, 0xf9c05787, 0x47b0b398, 0x8c495e65,
+    0x968577b6, 0x243467b9, 0x2a47ca38, 0x426ea5f5, 0xda2d1477, 0x4d020206, 0xe9f44c0a, 0x1b68fc2e,
+    0xa7d2ce7b, 0x39195e0c, 0x7ab9df28, 0xa2674768, 0xc08d32f4, 0x51b6bec8, 0x29b09bfc, 0x369ea913,
+    0x841a667a, 0x476dd272, 0xdc6ec6e1, 0xd2459a2f, 0xdc54f8a6, 0x6367d299, 0xdf8e8b04, 0x163f52e6,
+    0xec4911f4, 0x47d7eca7, 0x4164ae41, 0xd659cfce, 0x1046b67b, 0xb7db19bc, 0x2d842e2a, 0xe95e9063,
+    0xd25d0c86, 0x2f8e4d9d, 0x408fe871, 0x5328e245, 0x0b75a31a, 0x7bc6829f, 0x8a25163d, 0x5cacc7de,
+    0xd952639f, 0xb3f1ab88, 0x3f8280bd, 0xa2413eb4, 0x4ea82d96, 0x964a3703, 0x88205372, 0x58f7b91a,
+    0x1dac3a74, 0xd2df625e, 0xae8e06f4, 0x5fbb1fb7, 0xc48ccf3a, 0xd5e8657b, 0xd61a3aee, 0x7ae699f4,
+    0x29c1766a, 0xbe4283f6, 0x696bdbf4, 0x901815d2, 0x9dfd3190, 0xd2243baa, 0x389ebdd2, 0xb0224c91,
+    0xc6b58a67, 0xb1e161c3, 0x7b4b3336, 0x00a8ca7b, 0x6df09667, 0xbace66d6, 0x05580dff, 0x91d8ef4b,
+    0xc5e66a73, 0xe17681c1, 0x77a22c94, 0x8c85ac3d, 0x1284adb1, 0x2265b84a, 0x0291f8a6, 0x7c310305,
+    0xd28e5e0d, 0x5b4949f4, 0x8e79fc61, 0xe644e31e, 0x60e98c7f, 0x5c487440, 0x6aba906b, 0x61aac3c7,
+    0xfe4f3d17, 0xce6c56c4, 0x94b48df4, 0x9a8e8dde, 0xeb2e8a38, 0xf3a4c278, 0x0cb6ac3e, 0xb5c2a099,
+    0x8ba860fa, 0x353fb827, 0xb40835cc, 0xb9890125, 0x186791b1, 0x76329b1a, 0x6a52ed0f, 0x4c6a424e,
+    0x2242d032, 0xb386b893, 0x2bf4cb89, 0x5db0a7ab, 0x6ee451c9, 0xc4332c5c, 0xd7a5addb, 0x1a910412,
+    0xdb13ac1c, 0xe72297bf, 0x16c71592, 0xad5826b8, 0xed7105c2, 0x150acbd8, 0x6009f64b, 0x8a1afb2e,
+    0xa30a3dfb, 0xc76044a9, 0x635ca2bc, 0xee678b86, 0x26f7f164, 0xdf337fc0, 0xbbbbfbfb, 0x529772ba,
+    0x2185aa11, 0xa4488daf, 0x83ddea39, 0x818f7414, 0x98012ed9, 0x0bbc11e6, 0x426dcb5b, 0xf2bb87fd,
+    0x9386b67e, 0xc53193c4, 0xb691141e, 0xd9a5f34c, 0x67c24441, 0xb89fbb28, 0x070c1e31, 0x81bf27ec,
+    0xb7b7a45e, 0x1c430a1a, 0x169860dc, 0x3a0112ea, 0x4b4aafb7, 0x50e22d41, 0x421a707d, 0x380ad232,
+    0x6698e00b, 0xdeed6983, 0x7cc0538e, 0xe0dfa5e7, 0x1281afe3, 0x6e97ac3f, 0xc3dab848, 0x105efab9,
+    0x9c02ab7e, 0xf9b0dd12, 0x48c0ec5a, 0x14b51e0e, 0x2b1306cd, 0x98455c8d, 0xc32f2b4b, 0x0bccae19,
+    0xb91ab8b1, 0x991645f7, 0x4dd73946, 0xd5dae86c, 0xb7b2b403, 0x47692837, 0xf13cb4e4, 0x527de890,
+    0x703a1c16, 0x5713b4b1, 0x2cf8c4af, 0x57104fb3, 0xcb7be639, 0xaff6e848, 0xf86083f2, 0x714fb506,
+    0x03870b46, 0x4933a225, 0x62cf537b, 0x293b6456, 0x9bc78959, 0x3d9000da, 0x6ac7779e, 0x16a15bb9,
+    0xb8b74b1b, 0xbe8804f6, 0x5a6dd61e, 0xa8679b1b, 0x8103cb05, 0x97167b9d, 0x540f3f3a, 0x8dbec302,
+    0x4848fd70, 0x6316ad57, 0x197b7596, 0x9fe401b1, 0xff5e651a, 0x86467b17, 0x8395f69b, 0xef29d664,
+    0x08aa4afb, 0x151c8bfc, 0x9a9a2ecd, 0xf3bc5074, 0x9f0f623a, 0xf033b4aa, 0x44305a5b, 0x86b36428,
+    0xddb14e38, 0x8b99448f, 0xa874b010, 0x953e55b2, 0x307e8c29, 0x40af1094, 0x2330d808, 0x79e1166f,
+    0x55b47f75, 0x6ec26da7, 0xc92f9f16, 0x1e0f53eb, 0x12fa0274, 0xadede27e, 0xf124bcca, 0xd7456e3b,
+    0xe45bcd14, 0x61bf0376, 0xba8f91e5, 0x0cfae311, 0xf8e986b4, 0xc4a537c6, 0x6e4f7a21, 0x6c779682,
+    0xc84de97e, 0x4ebf7121, 0xf2544047, 0x4a049c6c, 0x0b7f38c1, 0x399d3e02, 0x27f8e67e, 0xdf3bba74,
+    0x5886f883, 0xb571814a, 0x2bd0534b, 0x93cb38e6, 0x03fbb32f, 0x14c26db1, 0x76effd77, 0x8827a9b2,
+    0xb83f43d6, 0x311a7077, 0x9c2057d1, 0x31ff4fb0, 0xf6dcd270, 0xd6fb6883, 0x47d72531, 0x1c64a4d6,
+    0x40716aac, 0x513aa172, 0xf3c1d325, 0xf7642746, 0xd12eb6dc, 0x888f446e, 0xade9daee, 0xa28a1a98,
+    0x0280b8f5, 0x19817639, 0x6fe569fb, 0xc090c4b6, 0xf8355944, 0x74323e4f, 0x62140141, 0xfe9b5e9b,
+    0xb404fa78, 0xe36ea143, 0x23f3858b, 0x81c0b7c8, 0xfdcb4e4f, 0xbdb89d62, 0x4cc451a4, 0xd34b898b,
+    0x5c4f5be5, 0xa8fcf198, 0x931d7ed3, 0x78e3ba32, 0x3513f53e, 0x32584f11, 0x31c372a9, 0x96fa8c2a,
+    0x14c9b4b5, 0x1ecd860d, 0xc76ac590, 0x93fc65c8, 0x50dce922, 0x347e1dac, 0x2184dead, 0x27c0b200,
+    0xa766d31b, 0xcc623d69, 0x1a70d69c, 0xec4f0f7a, 0xe3fa1b9e, 0xb9dd53b9, 0x83b45981, 0xe375be6d,
+    0x59e7b556, 0x41858e4f, 0x586b4fbd, 0x6739f268, 0xe9b50091, 0x4902b1fc, 0xaaa176f0, 0xeffb7af2,
+    0x73d1d5a0, 0x2618edb4, 0x9b0ee9e4, 0x909a238e, 0xd151316b, 0x8dc472bd, 0x73817c2e, 0xaa7f6cde,
+    0x9a873926, 0x00328466, 0x92ac3535, 0xa15579c5, 0x1c9b9af5, 0xcbf5400a, 0x70414c2c, 0xf619e4cc,
+    0xaa23c602, 0xd1c84a9a, 0x4c8c1398, 0x7eb537b0, 0xaf6ffc69, 0xab963b86, 0x0496c5c0, 0xc07c17ee,
+    0xfbd8e41e, 0x992b7035, 0x0c836158, 0xc72c1c53, 0x0995991b, 0x616bd10d, 0x576d3a61, 0xf2747876,
+    0x67b8a40e, 0x5d269ae0, 0x1e044963, 0x707302f8, 0xe81b2e16, 0x9ce7b28c, 0xa9ed899a, 0x9ae1c20a,
+    0xe61587de, 0xe4927694, 0x248db535, 0x08771e2f, 0xa1cec67b, 0xedf8a63e, 0xd1d74857, 0x6bf7f065,
+    0x1958eb4d, 0xa012eee4, 0x7f7b42c5, 0x7307c5e6, 0xc277fc6a, 0xe746c8e1, 0x173dc9c3, 0xf7353f04,
+    0xf47b6faa, 0xd13a69ce, 0xf0937b4d, 0x9726ce10, 0xa69b6f67, 0xe17a7475, 0x90391a6e, 0x500f3d3d,
+    0x0cb660d3, 0xd896dc2c, 0x901fc15a, 0x51971a45, 0xc3bc996c, 0x83c75186, 0xfe64102d, 0x57d30af4,
+    0x7dd17a62, 0xbbc0bc9a, 0xa7e8db13, 0x15a82551, 0x95fea119, 0xa4ec58fc, 0xce2c9314, 0x16b5f767,
+    0x66f8c507, 0xb390f655, 0xdb858b7d, 0xeab48543, 0x0657834a, 0x17b51b46, 0x8279cf24, 0xac9635be,
+    0x47cc04df, 0x4a9ca6a0, 0x2fcfc02b, 0x1dc68d32, 0x620332cf, 0x377e8cd6, 0xa80906a4, 0xc0c443bc,
+    0x9d4dbaa3, 0xdbc889a0, 0xbcc3de7d, 0x534ba813, 0xae2f8f8c, 0x45691642, 0xefba31da, 0xca8e4a89,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000042535295865117307932921825928971026432 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbf, 0xd36bf6d2,
+    0x00000000,
+    0x944b8d1b, 0x3fe37c02, 0x25b031da, 0x30bdc2bc, 0x684f53bf, 0x4c9a48b2, 0x84158b8b, 0x13399017,
+    0x45cb8d91, 0x841d3947, 0x9cf66395, 0x575d0202, 0xc236e94a, 0x50e56686, 0x14c24bd9, 0x090b228f,
+    0x742b7709, 0x6c0bee47, 0x117f4943, 0xb300d6d9, 0x432c4140, 0x4be80cfe, 0x7ef1e5f7, 0x4f5fefa3,
+    0x0d460c38, 0x85709bc3, 0xd8d4083b, 0x141e9603, 0x5f45eb12, 0x2b07f0a3, 0xf3014f3a, 0xb547e15f,
+    0x707df269, 0xff0f2517, 0x77a66a48, 0xd56c2143, 0x0c555177, 0x5065fc31, 0xc67060df, 0xdb585c47,
+    0x7ce98d19, 0x28851036, 0x4f728576, 0xc90b5c32, 0x6dee2a95, 0x441be520, 0x4768a42c, 0xf9573dce,
+    0x925cd182, 0xb370152f, 0xc0877d6f, 0x548df7ad, 0x24b7b974, 0xb5f10187, 0x47a447fc, 0x1a9806a7,
+    0xa88de259, 0xe02b9300, 0x915192bc, 0x660607bd, 0x1c4b370c, 0x9a0cd047, 0xbc0aaacc, 0x032f6b34,
+    0x1006a399, 0x1d352608, 0xd4d44fa4, 0x99a3d45a, 0x456b6025, 0x2ceb011b, 0x8a2c39d0, 0x2b927943,
+    0xfc93d308, 0x4739af2f, 0xf4566c2c, 0xbca4280c, 0x01516892, 0x4248d240, 0xd428d88f, 0x975a8398,
+    0xf6698f1e, 0xcec9ce7c, 0x074b9613, 0xf468e574, 0xa15ac4ca, 0x1386bef0, 0xa053f063, 0x92699ad8,
+    0x818ba943, 0x4ac23d98, 0x2abfb6bd, 0xd65cb58f, 0xcaa187a4, 0xb67e1e98, 0x070d7ba3, 0x9b348185,
+    0xa0903a09, 0x72139df3, 0xeb86247f, 0xb933c50a, 0x8b080d0e, 0x5b363240, 0x6678da83, 0x5ea3d007,
+    0x5a8c4ab5, 0x407ba71c, 0x4cdb53a9, 0x6fdfc1ed, 0x59a59004, 0x0b29a45d, 0xe4b2aa95, 0x8b3a2bc2,
+    0x19492c3f, 0x01407ef6, 0xadff756a, 0x33517c83, 0x133a4c4b, 0x0a92414d, 0x47c1f9bf, 0x3bde2983,
+    0x65c80d99, 0x01cbdfa0, 0xd38a6536, 0x81eef82b, 0x265f31c1, 0x0e8862c4, 0xd9a26297, 0xe050bd3a,
+    0x650cfd07, 0x2ff02e1b, 0x6bcb188b, 0x142419ff, 0x9412b4ee, 0xdadcb91f, 0x8a91afdb, 0x7186f500,
+    0xe0483762, 0x38f1ac0d, 0x39c6d559, 0x34bf77d6, 0x158bc9c1, 0xa9f828ae, 0x83728ce5, 0xa150e206,
+    0x7b8ea529, 0xd35c5317, 0x5c348bad, 0xf929fa45, 0x656ea86f, 0xdc1a7e1e, 0xdbef4243, 0x5327cff8,
+    0x5ba15537, 0xc2fb7535, 0x217a4a38, 0x5c3cd0db, 0xfc97607b, 0xad1d4e1d, 0x86115a19, 0xd9221fe2,
+    0x9036b907, 0x7692a588, 0xeb9edd22, 0x87aa8e4d, 0x19befb3f, 0x0906ad8e, 0x13e6e571, 0x8dc5cae5,
+    0x05d51466, 0x8076ff10, 0x9878c6c9, 0x51fea1eb, 0x851a7166, 0x0378b625, 0x86133424, 0x614c420a,
+    0xa1d67e98, 0x617d417c, 0x8ca2a417, 0x09595e5c, 0xf8f4ac23, 0xfe31c8ed, 0xdb2847ff, 0x4176657b,
+    0x58b414ad, 0xa20ed010, 0xeb3faa90, 0xf6f26c46, 0x325d6fc7, 0xb9e80231, 0x0b64661b, 0xff4b4a10,
+    0x58dc4020, 0x5b19b523, 0x2b20da9f, 0x24f3b858, 0x9a37fa93, 0x0cc787ff, 0xe42a7f68, 0x9a3b6198,
+    0x0300a1c1, 0xed3990b5, 0xdb7d707c, 0x7d2ae457, 0x2e6ff452, 0xe4425191, 0xdfe44869, 0xd012ad5e,
+    0x662c6a76, 0x582f2934, 0x16c79278, 0xdac7f493, 0x9943b86b, 0x85d89b4b, 0xa55c877b, 0xf911645c,
+    0xc5e6c5d4, 0x31e16d6f, 0x9f9e02f1, 0x9b14b47c, 0xcb081431, 0x290ddd76, 0xd2886985, 0xe01ebaae,
+    0x33ad8aa4, 0x47feb784, 0x4afc6359, 0x9b4f834e, 0x719dc420, 0x63111983, 0x167fbfaa, 0x0b6e6f93,
+    0x3b8eb072, 0xd4df3039, 0xfac1177a, 0xfc415c28, 0x977c5df5, 0xed6d2b55, 0x666b4538, 0xf501d19e,
+    0x8d57627b, 0x50b98280, 0x224e5a53, 0x9d1bdb70, 0x0c5cfeaf, 0xa9968ef5, 0x9931ab68, 0xc5a6400d,
+    0x18402896, 0xeced5398, 0xb8ba5ea1, 0xb61e1ed5, 0xebd00d93, 0x488dc4a5, 0x639db279, 0xe990df5d,
+    0x6b4bb7b1, 0xa84f3898, 0x88e194f1, 0xdc94af85, 0xa7ea75d5, 0xca8cce24, 0x46b92ccb, 0x7fafcb54,
+    0xea5f16d9, 0x764a4f27, 0x1f11050c, 0x52a98e5c, 0x7c1ba294, 0xfe88ee51, 0xbaceae58, 0x4a5866f1,
+    0xc32a0a23, 0xcc03e155, 0x5cf940c4, 0x437bad07, 0xbb06f62d, 0xd49cc413, 0x1fdd7b42, 0x9318a0d0,
+    0x71d35022, 0x793aa39c, 0x029ac2c6, 0x68df8d4b, 0x2a6cbb59, 0xd6388132, 0xbca6e111, 0xc50b47f5,
+    0xbb749826, 0x224e2666, 0x2b18ad05, 0xe3ee8815, 0x61290e57, 0xf28f75db, 0x93ba9dc7, 0x784b0a71,
+    0xbe11d070, 0x31b1bd8b, 0x23436a33, 0x18032e50, 0xf22aa241, 0xef0c596f, 0xb9134e27, 0x6e84a5a5,
+    0x72b182f8, 0xe92b1254, 0xdec40e32, 0xdab1f48e, 0x3cd6882f, 0x58c8633b, 0xba9c5f58, 0xec84e40d,
+    0x4e94807e, 0xbb08c90d, 0x9ef4e142, 0xf9237b93, 0xa2fc4d7b, 0x0999fa6a, 0xfc3610de, 0xb52337d7,
+    0x18b446ce, 0x7bf56659, 0x5f17ad4b, 0xe6c6139f, 0x5f7fd2cf, 0x14158d3c, 0x9aa4b14b, 0x2ce22772,
+    0x28361328, 0x89df3d66, 0xc50f2cc6, 0x25f1054f, 0x2569a7e9, 0xcd16e531, 0x26cb2674, 0x19a3e03a,
+    0xe4bac0aa, 0xe7d601c9, 0xae9225a7, 0xc5f5928d, 0x3080b0f3, 0x66bc99f6, 0xb1725cbb, 0x83be5d13,
+    0x7534b76e, 0xfca36fed, 0x63cb857e, 0xb2220358, 0x341635c1, 0xdeea4fbc, 0x06242c96, 0x5f76b53c,
+    0x40e41b45, 0x65f3d6a8, 0xcf26cfbf, 0x8c2c7611, 0xd876432c, 0x9d1777e8, 0x77e6350c, 0xbfec32ce,
+    0xad34451a, 0x3bbe6713, 0x2b71cba7, 0x30ba4417, 0x6e15bdab, 0x66b2885d, 0x21c3a656, 0xc70bd9f4,
+    0xee7c696b, 0x513825e5, 0x6a9e7740, 0xcdfd247d, 0x4a4d1fc2, 0xea97ff41, 0x3f60ef97, 0x8cf0f3e9,
+    0x600fcf35, 0x0a485596, 0x6b90c747, 0x73de9b01, 0x7672db13, 0xe12f4644, 0xc8902a55, 0x5b142323,
+    0x26ba3d8d, 0x0375b7c1, 0x90d839b2, 0x2f120744, 0x7698a16f, 0xe48439ba, 0xda47d8f5, 0x8baccd9f,
+    0xda27615e, 0x97dad894, 0x51280817, 0x91a4ffb0, 0x74e64cf8, 0x9bea1042, 0x7b64767c, 0xb7d4dce9,
+    0xa8eb0b05, 0xd8bb0810, 0x100973c1, 0x8155a267, 0x73b744c0, 0x4c9e8963, 0x4c0a5ee9, 0x7e716448,
+    0xfb0fb21e, 0x5fec6e59, 0xf89bd9cc, 0xe251994b, 0x071ae1ee, 0x99b8c725, 0x3a7ccc14, 0xa57eba2e,
+    0x36604262, 0x943b0e57, 0xb8aa426c, 0xf2dd3505, 0x41f90298, 0x928a0115, 0x6a0b9d4b, 0x7810a1cc,
+    0x4632eece, 0x2b822ac0, 0x70405382, 0xf70dded8, 0xa9e62f1f, 0x812a59da, 0xfdc6d22c, 0x2a6ee34e,
+    0x7c2ae167, 0xd5c1da8c, 0x84dd64da, 0xd1537d40, 0x511d16bd, 0x91725df2, 0xa062b553, 0xa851723c,
+    0xd11cf30b, 0xcb8feae3, 0xdbcc17e0, 0xd5d93605, 0x7b0618ca, 0xe3d9fa0b, 0xfdeb71e9, 0xd933cb12,
+    0x6e2da993, 0x8354c623, 0x62ddac37, 0xef3cff8a, 0xeea1bcc7, 0x284670b8, 0x9d279a60, 0x0aac46af,
+    0x9c9bec4e, 0x05f9af78, 0x2b25ed08, 0x8d4cd555, 0x54667527, 0xdaa14724, 0x16515f31, 0x4e0c23ed,
+    0x80e97a16, 0x77463427, 0x294cde9f, 0xcb3827e1, 0x093f4f5d, 0xde98dd5f, 0xddf18216, 0xec1ef185,
+    0x16e6c6d7, 0xae435943, 0x9a86ba92, 0x8e2a3f56, 0x099b224b, 0xb6e460c7, 0x969b2ed9, 0x087d9e8d,
+    0xaedf1ca4, 0x11d1819b, 0xf62da050, 0xe7802191, 0x69b1ac3c, 0x4b40b0a5, 0x923f05b5, 0xf341a598,
+    0x14c775dc, 0x2cb4588b, 0x1772638e, 0x2ec8b705, 0x1012cba4, 0x946acd83, 0x83fcb477, 0x9561b61a,
+    0x149909b6, 0x134ffbaa, 0x7361d250, 0x15432856, 0xb434cd2f, 0x7fca8beb, 0xbbaca9d7, 0x6bd53d74,
+    0xb290cfad, 0xcbec018a, 0xd00da46b, 0x8f734a77, 0xbdc69de7, 0xf0cda82e, 0x6893162c, 0x3889ffc3,
+    0x1bd9f909, 0x7fe998ac, 0x0fb7a4e1, 0x4ab0b95a, 0xc7edeb04, 0x4870c6a1, 0x530db7fd, 0xfbfc8624,
+    0x18b2d526, 0x89b3ee57, 0x2994aef6, 0x595abaa8, 0x0d978f9d, 0x96ed86e7, 0xce019ced, 0xb8948e38,
+    0x6e43d109, 0xd7c07d3a, 0x3d93044e, 0xe912544b, 0x7147a3c5, 0xd563f842, 0x2fe50875, 0x8e933ce9,
+    0x8808a069, 0xa98ae20f, 0xb55542e0, 0xce6771e2, 0x949dfed5, 0x396e642e, 0xd557fec0, 0xac96e750,
+    0x101a425b, 0x44cf6d19, 0x5e865f04, 0x0580470d, 0x7b5a33ba, 0x68ed7391, 0x12eea402, 0x202f8798,
+    0x18b66a65, 0x815ba6ad, 0x4c696863, 0x638470f8, 0xcdc7e13d, 0x55009a88, 0xf0f640bb, 0x49503587,
+    0x3f97c235, 0x43621c1e, 0x2f8585bf, 0xda397842, 0x472258d9, 0xc9521398, 0x60d6d6e0, 0x5385e284,
+    0xf1c25769, 0x3d475142, 0xc8f3e914, 0x5691578e, 0x683b5af6, 0x7b9ac3c8, 0xa6fe344f, 0x875a5b19,
+    0x526232d3, 0x60503e0d, 0x5eca9974, 0xf8c6058c, 0x58dae6ec, 0xefa90a8b, 0xe307750c, 0xdc241ada,
+    0x47ae778d, 0xd4461675, 0x12be8143, 0x3b986e73, 0x03b14ec3, 0x5bb2bb60, 0x20dc908a, 0xa151ff36,
+    0x86ce7304, 0xa775a0f3, 0x5a3cfc73, 0xfa64fcf0, 0x26aa42ce, 0xafe8a186, 0x686b3fc9, 0xfaecc354,
+    0x68e208f6, 0x4c4524be, 0xe757891b, 0xefd65a08, 0xf7d4ebcf, 0x94076a93, 0xe6039b7c, 0xe0804285,
+    0x90f82ed0, 0x5dd0c65d, 0xb3c5d5e4, 0x566784a0, 0x46dc2361, 0x3c494e9a, 0xc476a75d, 0x3271073b,
+    0xb436ada9, 0x68ee61cf, 0xe26d831d, 0xfe244632, 0x84a0b615, 0x0338d54d, 0xc21ef4bd, 0x705da785,
+    0xd74ef25f, 0xf87a7643, 0xe3e41fc5, 0x01f05388, 0x2cc52419, 0x06592c8f, 0x3a936157, 0x4c2541ce,
+    0x66396038, 0x231af2a5, 0xe95a2b86, 0xaaf0765e, 0x016061e1, 0x9c106395, 0x4b455caf, 0x21ee8ed3,
+    0x16f5dbcc, 0x182bbff4, 0x0408c0f2, 0x442ee421, 0x2fd0aeb5, 0x0d2a14e4, 0xfab8c826, 0x11d2a0d5,
+    0x556e9b10, 0x7f2abb2f, 0xbd0a565e, 0xb43e6065, 0x3e5d4780, 0x7c52fb70, 0x2b3cb594, 0x3e68fe36,
+    0x6600b3b9, 0xc626eea5, 0x23c98b9e, 0xdda4cb91, 0x02efdbf4, 0x24177a68, 0x2f7dcaab, 0x7c61fc88,
+    0x03802446, 0xada3122d, 0x29f6bb6c, 0xf8aeaabb, 0x693662d6, 0xa47e8fe0, 0x1acf7808, 0xa181fe66,
+    0x1706048e, 0x69894ad5, 0x8cc56353, 0x30e26e1a, 0x05609658, 0x8d574ef3, 0x8ff2d12b, 0xfc3df954,
+    0xb165cde2, 0xf31ee0d5, 0x09fc4582, 0xc00ee816, 0xc6a88efd, 0xf69d5a8a, 0xda7989c1, 0x0a46cfaa,
+    0x6e62889f, 0x7800ee8d, 0xdbf62e8c, 0x9ef4f15d, 0xb5c60d36, 0x67f9eb84, 0xd675c84e, 0x458b3780,
+    0xab05ac14, 0xc2be4047, 0xc1b37500, 0xbc4e06b3, 0x2c6cd9cc, 0xf439a8c1, 0x7c404b35, 0x95524467,
+    0x6d763079, 0x472b74a8, 0x256df1f6, 0x63be9cc9, 0x2ca37e42, 0x144c6df4, 0x9351033f, 0x1eba26e2,
+    0xdd8664fa, 0x15ee2cfa, 0xe2c01643, 0xba18a9a9, 0xc4d41693, 0xa9a7dd9f, 0x2b668767, 0x16c31c2c,
+    0xe006cc22, 0x206a4ce9, 0x87a9989b, 0x886afde9, 0xc686101d, 0xc2e78744, 0x8939bb68, 0x32519109,
+    0xac837c6d, 0x711feb90, 0x6066f667, 0x20cbd336, 0x292814cc, 0x8904ae9d, 0x3fb963ed, 0xbc297ea8,
+    0x3cb09270, 0x993aa2c3, 0xfa056152, 0x0adb329f, 0x13b85cfb, 0x64fbd990, 0x9697cb9c, 0x049fcbd8,
+    0xa7c65a0a, 0xd3810a43, 0x9641f511, 0xabf12b24, 0x1185af18, 0x17945ec2, 0x1cd88513, 0xe2fc2965,
+    0x76b0d6a6, 0x57c51933, 0x4867c1d2, 0x0d3de64c, 0xff1e31da, 0xb2c8ec4d, 0xab90d9c1, 0xaecce436,
+    0xe89c1093, 0xced79f43, 0xe06bc8ce, 0x87fa583e, 0xfd4fdf65, 0xbba9f09f, 0xacf9ec3a, 0xff505101,
+    0x7b9451fa, 0x989a3967, 0x9c9128ee, 0x2ad0e7ef, 0x37600aa0, 0xcbdab9bd, 0xee119b21, 0x9d09699a,
+    0x93a25cfd, 0x7afd4f13, 0x03361b28, 0x1cd87ba1, 0xc80245f0, 0x269f27b2, 0xb7e7f518, 0xf58ef7a3,
+    0x4078de5f, 0xb2b865a9, 0x2721e129, 0xb22efb1f, 0xa2d657f1, 0x4702f62c, 0x2f448639, 0xc078253f,
+    0xb0219da1, 0xa2060137, 0x76cde7f6, 0xa0705026, 0x2b784471, 0x3fdb2dc4, 0xa608d588, 0x49d92757,
+    0xc871f850, 0xdf8f4092, 0xfc162fe4, 0x432ce423, 0x1ff03f58, 0x6a0efcc8, 0x36931766, 0x4bf0fff7,
+    0xddb7ad58, 0xb178562f, 0xb0d19b72, 0xf7332516, 0xddb1a13d, 0x4fb686b7, 0xc53d23f3, 0xe7b5678b,
+    0x816ec8ba, 0x2d430f35, 0xbef10cdf, 0xd86dcab3, 0x2ae16144, 0xdb638f68, 0x8e128f14, 0x7daf55ca,
+    0x81307fc3, 0xd5f108fd, 0x19dc1e22, 0x497e1175, 0x77c3294f, 0x8e2ef9ae, 0x43a8e39f, 0xe6a9cfd5,
+    0x87ed3d75, 0xcf5cd015, 0xe884a6ed, 0x153a904d, 0xef2709ee, 0xb6ae0313, 0xc9f4b745, 0x142daa58,
+    0x4a893e5a, 0x757c956a, 0xa8e584aa, 0xe0b0e521, 0x049d2d9c, 0x6d0d251c, 0xf614c17f, 0x198602eb,
+    0x262ea2e5, 0x3db3eadd, 0x773f47e7, 0x6cbefba5, 0x9a53bcc9, 0x6e5a5a11, 0x66e0951a, 0x332735da,
+    0x92b25117, 0xb4d9e254, 0x4ad9ac95, 0x59ecf658, 0xd4eaebc6, 0xde24035d, 0x1ffeb9ec, 0x63d1b5b9,
+    0xe5e4633d, 0x9805b72a, 0xb7dd5fe5, 0xf6f95cd8, 0x2182f64c, 0xa5c90996, 0xf04263b4, 0xcd0d4e10,
+    0x86591411, 0xf0aa6d95, 0xad003e89, 0xa5630d28, 0x99b655db, 0xf29aefc5, 0xb3e7c229, 0x2eb1f4b5,
+    0xc55037cf, 0x00ef50a1, 0xac8e7dba, 0x924ba4b2, 0xf3919636, 0x5a678cbf, 0xd2c015d3, 0x0ff59d70,
+    0x8057aaef, 0xda4b435d, 0x4d915663, 0xb16140ea, 0x98fb2dd5, 0x728c7f69, 0xf70acf33, 0xf174ca79,
+    0x9a25d645, 0x5e0de3fe, 0x9ce4f447, 0x2d25b404, 0xa85d0a56, 0xfc41c544, 0x94f0a20f, 0x53763502,
+    0x1220f155, 0x14f443d8, 0x5816fd2a, 0x239ccade, 0x6b103331, 0xb4bebbda, 0x43b8c899, 0x680d737a,
+    0x9e4988c2, 0x13999918, 0xf31b093e, 0xa5b370a2, 0x7e9f7890, 0xc57586ef, 0xa1192f59, 0x78279f17,
+    0xe8c01313, 0xe19d1b7c, 0x546cf329, 0x963e7191, 0xcfdcf50c, 0xf352eba2, 0xb9c69182, 0x9011c57d,
+    0x2d17e088, 0x3f9e2592, 0xd7b3ce1c, 0xcd8b6818, 0x7d83eb2a, 0xeb5655b1, 0x4e9e566d, 0x2e104d35,
+    0x97d516e4, 0x13c08387, 0x6abadd1a, 0x4209ec6e, 0x3e1e4b23, 0x63f93558, 0xc26dac78, 0x3946af15,
+    0xd757e6b0, 0x96dc745b, 0x6e2613e1, 0x47c381ec, 0x8507c2b9, 0x0a213a06, 0xdf37bdfc, 0x044c8dcd,
+    0x5a029674, 0xa0c299c2, 0x1139e25b, 0x07e12a8c, 0x8ffd1182, 0xcab291be, 0x45068665, 0xc6e259f0,
+    0xd2e5e22a, 0x7d4272bf, 0x3f218c55, 0x8bfc142e, 0xbbe1e397, 0x3ad3e925, 0xff4a8c4c, 0x2eebe7a5,
+    0xbba66220, 0xc83b34d3, 0x29b07ece, 0xc1d23c16, 0x5de69b5f, 0xe87277c3, 0x9f8e5aa9, 0x4c552a5c,
+    0xef027760, 0xce2cf589, 0xcfeb6fb7, 0x6031ab31, 0xa32a11a0, 0xc5361146, 0x335b99ed, 0x0ee3b107,
+    0x8df4b8e2, 0xa7c65704, 0x332d63c6, 0x85e0d32f, 0x8acb98d3, 0x81debd19, 0x3f904b72, 0xbe9faa9c,
+    0x25c6b85f, 0x8d2edb36, 0xe299662b, 0x9b0a2c62, 0x2b33d6ea, 0xfab1ff25, 0xffb94370, 0xbf974748,
+    0x1e23d46b, 0xeba7f273, 0x6b350a95, 0x2eeaafce, 0x7199719a, 0x8f7d8153, 0x6cdd53c5, 0x411fdd56,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000021267647932558653966460912964485513216 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257edf, 0xe9b5fb68,
+    0x00000000,
+    0xc2d7a5e7, 0xb19d7754, 0xeac48fcb, 0x9a8c2135, 0xc7d2cf40, 0x32c9d0ae, 0x1e6d12d7, 0x1fbc8a97,
+    0x927709c6, 0x04b186b2, 0x3f92aa16, 0x4716b403, 0x64cc02c1, 0x27ca5780, 0x0ec7f039, 0x05b01ab0,
+    0xaeccae95, 0xc937b95f, 0x4d3c2a55, 0xa1bd9610, 0xc39ade6d, 0x84ca6099, 0xefe6ceb3, 0x6822325b,
+    0xbc714fd0, 0xc166c216, 0x3f760d08, 0xfef4b62d, 0x71ce5aa1, 0xeaebd41d, 0x3de7bc70, 0x05f2612e,
+    0x12929edf, 0x27e3e72c, 0x4e35eadd, 0x7cb05b20, 0x59237890, 0x3c79e7c4, 0x4fb45188, 0x80040dd8,
+    0x107647d4, 0x386307c9, 0xa7011a7f, 0x3e1d2cf8, 0xcf0958ba, 0x2611aedb, 0x79333377, 0x3ff6caed,
+    0xe8b694d5, 0xd902c120, 0xb04ac12b, 0x662c985d, 0x00af8002, 0xa2adf0e6, 0x8d8e8c80, 0x86474147,
+    0x8721df22, 0xbb7f78d8, 0x0ea0b8a8, 0xdd22bbc1, 0x6c1f9ebb, 0x51278bd7, 0x035b3b4f, 0xbbb72f6c,
+    0xd3e045a7, 0x5eb780b5, 0x608a8966, 0x10309676, 0xf0a98827, 0xf455fd87, 0x8f447467, 0x9b645090,
+    0xc4c2fc5f, 0xb97c8dd7, 0x58621499, 0xdf24df59, 0x572cfd72, 0x92de9ae2, 0x4a135367, 0xb973ed7b,
+    0x099d2073, 0xe6b88877, 0x4eb68556, 0x609a6a11, 0x2f009a70, 0x5858f139, 0x7904ab0d, 0xbf36a15b,
+    0x32942a02, 0x5b1f6d42, 0x27cb9129, 0x8a8d2ef5, 0xb2f76b3a, 0xc0314227, 0x0a48a1dd, 0x78965541,
+    0xa3880a54, 0x8fad4319, 0xf0b27319, 0x92379a84, 0xcc3ad3f2, 0xcc77b13e, 0x925a0996, 0x4daf74a6,
+    0x0dc0285d, 0x9e893987, 0x27195ad5, 0x33b7bb01, 0x0d91253b, 0x1d2d6b12, 0x35b2f7a4, 0xd13562c7,
+    0xa720a372, 0x7e2568a3, 0x3bb98997, 0xd277d79c, 0x3d88d449, 0xea1f663e, 0x5bcf2af1, 0xf46c06ae,
+    0x66ec10c7, 0xde99ddcb, 0x947b71c0, 0xc3507f19, 0xb469ea6e, 0x5d8dffa7, 0xd2cf6def, 0xf6d403e1,
+    0x294dcb68, 0x10493bf9, 0x7a4be617, 0x1ded2d01, 0xe87e9fba, 0x28265ada, 0xc2977319, 0xc8c116f7,
+    0xcf631ab1, 0x1770fe1b, 0x8b2f10c7, 0x81d79eb8, 0x19c3bb7d, 0xe3bb06be, 0x73fe985b, 0x5e27b5c4,
+    0x35b3d999, 0x104d2ce2, 0x4c551b53, 0x85512fda, 0x976fb49c, 0x12ae581f, 0x204f2053, 0xb649bd70,
+    0xfdf917e1, 0x95cfeaab, 0x00bc3e2b, 0xe3b7da6a, 0x4e0401d7, 0xd8a4a365, 0x2767b36e, 0xfec5985f,
+    0xbbcc19a0, 0x9a383b64, 0x3d0d6250, 0x1fa93cb7, 0xff66a74d, 0xdabc3b16, 0x8ce2047d, 0xf0be27c1,
+    0xfcd709d6, 0x7c76be6f, 0x648d972b, 0x024c84ef, 0x5f6261d2, 0x51bea3a7, 0xbf94d9a1, 0x73bf77b8,
+    0x4e659880, 0x447de99e, 0x282bb553, 0x35cbee52, 0xbf73cbbc, 0x4b957822, 0xa8cabf9d, 0x656036ef,
+    0xc0873937, 0x22dd2328, 0x4d1caf9a, 0x83cfd229, 0xaea2aa22, 0x0fbc1f95, 0xde664f38, 0xb7708a6e,
+    0x52244c16, 0x7d478c6c, 0xc584bb9d, 0xcdb71008, 0x27ad70a4, 0x864845f1, 0xf9dcc264, 0xe55da023,
+    0x01e7ac5d, 0xac20b1d9, 0x95c543fd, 0xeace0139, 0x08e4b3ab, 0x3f00addd, 0x0dbd6cd1, 0x6d4df980,
+    0x61cd3123, 0x31ee87c4, 0x2731f75f, 0x3618907a, 0x4142c044, 0x32730a89, 0x9907a6b7, 0x1436b8e8,
+    0x6a5560a9, 0xd049449e, 0x0927c70d, 0x762856da, 0x6fcc6945, 0x4185ba12, 0x724010cc, 0x1446f54b,
+    0xc109f0bd, 0xc5bec9cc, 0x003cf4ca, 0x5e9f1d92, 0x08883577, 0x136567ad, 0x3599941e, 0xeddc5b44,
+    0xf8081c74, 0xdb21b567, 0xc1f78b29, 0x6fc4681d, 0xdc19dc5c, 0x45e7c137, 0xa6eaaa5e, 0xcc998fea,
+    0x62220229, 0x0979085c, 0x42a6ae0f, 0x908097d3, 0x829c0b35, 0x7e41d9de, 0xc68cff4a, 0x53979093,
+    0xf6b6b28a, 0x96f1c4b0, 0x25978c85, 0xeb398f56, 0x57ac5480, 0x0318d762, 0x51bd9ffa, 0x111cdf85,
+    0x246130d7, 0xc0756735, 0x28a42803, 0x2b1e907c, 0xd22bf161, 0xd3843e64, 0xa80f404e, 0xa92a4efa,
+    0x24106142, 0xaaa7de46, 0x2b308736, 0x1eb47243, 0x01ac9d53, 0x036be20a, 0xdfc925c8, 0xeca4948d,
+    0x15edacf2, 0x6e76a0d9, 0x0278b323, 0x1e750297, 0xd6a1cf32, 0x76675c07, 0xfedb3c8f, 0x9aab8822,
+    0x7354a3b2, 0xd6849bd2, 0x312a8edd, 0x07bc631d, 0x2a2cd715, 0xf5fae655, 0x0f0ce8b3, 0x832ef7ec,
+    0xafed0ad3, 0x4766dbfa, 0x8e4e75e4, 0x99d30b4c, 0xc01bc89a, 0xf9a43c15, 0x5f1f64b2, 0xf7aa6191,
+    0xb1e8646e, 0xac64dca0, 0x5cae1271, 0x021408dd, 0x8fefb542, 0xe74b5398, 0x3a191f0d, 0xe4a9711a,
+    0xf19335f7, 0xfa47352d, 0x5850fcf1, 0xb581e9e4, 0x748e66e1, 0x1c3feb27, 0x5705fc56, 0x7a2c64b2,
+    0x81f48470, 0x91789b91, 0x430ae260, 0xd3231f79, 0x4f35ef45, 0x22fe2d79, 0x4a4b61ed, 0xb169ecca,
+    0xee70b044, 0xc3a304ed, 0x1cba424d, 0x1aa2a7bb, 0x0e8fda4a, 0xc6a32203, 0x4e3a555a, 0x4dff26fa,
+    0x9729ca4b, 0xcf58a700, 0x2d57e9bb, 0x01265491, 0x5d3f9746, 0x1553de53, 0x9d10639f, 0x7151fcc5,
+    0x34a208aa, 0xc27c0abe, 0x33486841, 0x6ab30a67, 0x6d8d260e, 0xc940e843, 0xc5a92ec7, 0x208f6fb0,
+    0x64d73aca, 0xa5d75c1f, 0x57baed3b, 0xdf15afaf, 0x3cac9589, 0x37278dd2, 0xc450afba, 0x70233300,
+    0xb4f65ddf, 0x984339a4, 0x0316188f, 0x7dc132c1, 0xa463980e, 0xd338a707, 0x30bd1be0, 0x4be0a38c,
+    0x5dc8f21a, 0xd1323140, 0x319a0acc, 0x99162a81, 0x8845a19c, 0x95e4068d, 0x3fc12324, 0xc7d010bc,
+    0x417e339a, 0x075dc658, 0x509acd6e, 0x1744926f, 0x37acf529, 0x0f7dfd01, 0x30e06f69, 0xe72ee1ec,
+    0x30a6e14e, 0x0ea11c74, 0x500914e4, 0x05cfdf22, 0x04b1cce6, 0x70f1d47a, 0x12bc0e9b, 0x3b7403c8,
+    0x6533226a, 0xd5737ee4, 0x6a789016, 0xb8d22ddf, 0x31c08f20, 0xb3b57472, 0xed91308c, 0x3fde2864,
+    0x19f6c035, 0x28cee29e, 0x5211e15f, 0x241cc718, 0xf12c50a3, 0x63c36359, 0x41214fe3, 0xe8d3f41e,
+    0x068e5ce7, 0xa293baaf, 0x61de0ee5, 0x9478fc69, 0x3001f1db, 0xa441d84f, 0x56a43ec2, 0x01811a08,
+    0x31ab7a44, 0xcfbe208f, 0x5812078f, 0xb34b4067, 0x1e672e01, 0x2b3e8bd2, 0xf26d961c, 0x1df90a11,
+    0x493c6770, 0x052c35d6, 0x3de84ae0, 0xa57fac90, 0x4edf3c46, 0x96dae61c, 0x5ddcea05, 0x4109b6c2,
+    0x6952a984, 0xc647a7ae, 0x009ddfb3, 0xa76a04c6, 0xb8249587, 0x31c2fd82, 0x28007bb5, 0xf1783d84,
+    0x4eca2890, 0xb3ef2e6d, 0x9a2afd47, 0x0f3ddd3a, 0xcf0c3910, 0x0b4b1bb6, 0x624899ba, 0xbb6ccc18,
+    0xaf87302d, 0x189d3b0e, 0xe193f51e, 0xabda0f70, 0xf3ffbd32, 0x72072826, 0x19cfcc6c, 0x829aa8d4,
+    0x490db1f1, 0x29c78c5f, 0xd58eae3e, 0xf0886d78, 0x22131c34, 0x55d56f27, 0xe77bda48, 0x7dcbdab3,
+    0x1357d3a1, 0x3f15bc9d, 0xfea60afc, 0x4658893a, 0xa52a36a9, 0x0b1abbc0, 0x3348f5a2, 0x7a246d2b,
+    0xbb0dfa5b, 0x3021bad8, 0x6738d584, 0x452fcd45, 0xd3546611, 0x0ec2cb87, 0x2a17ff8b, 0x11c1c76f,
+    0x1c6c42c3, 0xaae6beaa, 0x6772feb9, 0xf7795b79, 0x1913f806, 0xb696a6dd, 0xd64d648f, 0x257650aa,
+    0x39880b14, 0x00cc2e98, 0xa9141667, 0x4233b9d2, 0xece8fd7b, 0xdec4a536, 0x65aa303d, 0xabc095aa,
+    0x21d5bc8f, 0x3bd87995, 0x7b6bdfda, 0xe4f98ea5, 0x7fe03034, 0xd901879b, 0xa28a3af9, 0xee36d908,
+    0xb33d4d81, 0x83920379, 0x078456ee, 0xa6dea743, 0x70619570, 0x9066b3f0, 0x6719fb2a, 0xbc50cd0f,
+    0x9c6979fb, 0x9a51439e, 0x49408b84, 0xb4d8bf56, 0x72403df8, 0xda0f0292, 0x5b0941e1, 0xe5fbb7be,
+    0x85b63023, 0x9718e48e, 0xf1ba0f64, 0xf22e5ef9, 0x78081a82, 0xa2462fd9, 0x8cc66d76, 0x470caee6,
+    0x7f549721, 0x9762e5d9, 0xa7b640fe, 0x9655fe46, 0x7486d75e, 0xe55d608f, 0x63c278a4, 0x22bf5bef,
+    0x9f1d0d94, 0x01b13d68, 0x0a59acd8, 0xd615fce6, 0x39db9cd1, 0x4cba696c, 0x279a7058, 0xbc04f150,
+    0xda03efcf, 0x84238440, 0xbb7656c0, 0x1681021a, 0x404f10c5, 0x348a1d8a, 0x7ae1a5b4, 0x3b1ffd97,
+    0x3025d0ba, 0x2b11229d, 0x2ff219ee, 0x33cc9798, 0xb6418232, 0xd5a559c5, 0x2f74f36e, 0x244e88e9,
+    0xa4cd1d25, 0x99044d50, 0xafd89f8d, 0x2d4f0dcc, 0x41cdc349, 0x68a1ca3b, 0xa0d1173f, 0xe92e2ce5,
+    0x53a272d8, 0x6f74a465, 0x5fe2da36, 0x1020341a, 0xf316811d, 0x25d42f3b, 0x89643080, 0xd84dcce9,
+    0x6baf410a, 0xaba5c750, 0x5318089b, 0x144ab842, 0x855079cc, 0xdde3c77c, 0xd2094f71, 0xe2ad2329,
+    0x3097d565, 0x03d9d078, 0xe66b7146, 0x0af73031, 0x3ac08d1e, 0x072bf76d, 0x2f4073cb, 0x7770d2ec,
+    0xf8d5b637, 0x99f261d1, 0xeae40abd, 0x888fd2bb, 0x9af297ff, 0xe084eb45, 0x79e57acf, 0x793c11b4,
+    0x4c3ccda2, 0xbc001ff6, 0x07fae421, 0x7cdcbce7, 0x1090af06, 0x88fa82a1, 0x7da122f2, 0xae2d9094,
+    0x1d62e563, 0x494c418c, 0xf6b84b36, 0xc68fa3d3, 0xeb95cacb, 0x8617f14b, 0x3c1ce33b, 0xad2ec1dc,
+    0x5125d69b, 0xa8727ab7, 0x4118a27c, 0x3fcb4d32, 0xd8353e4d, 0xa97d6ffe, 0x96c81923, 0x0cc0ea7f,
+    0x9be31471, 0xd9815fc0, 0xf749f5f4, 0xa5348730, 0x6aaeea4f, 0x4d06e81c, 0x6098f8df, 0x36398e18,
+    0xff13e5f0, 0x92c02e5a, 0x30a0eb3c, 0xc6b9c3f4, 0x5cbcc416, 0xdf5a189e, 0x2621b840, 0xd2425f36,
+    0x97621de3, 0x51963f16, 0x9982d277, 0x9a4e28c9, 0x98200a0d, 0x4f6105ed, 0x951c245c, 0xea2dea9d,
+    0x405470dd, 0x7afd0296, 0xbb8f272b, 0x37ca2835, 0x66128fe4, 0x224e2d26, 0x4c693391, 0xe5a7a148,
+    0x4ec17e16, 0xd7fec8c5, 0xeabce0e1, 0x1b57ed1b, 0x390ad25e, 0x2bea395f, 0x757fa191, 0x79aedb79,
+    0x774110f7, 0x6a014911, 0xc6df3ab4, 0x7adfe31b, 0x9b28ef6c, 0xbba3a8a2, 0x251e6834, 0x419f0a3d,
+    0xe658ed6a, 0x3b223631, 0x9d165754, 0xe8066d5c, 0xbf5e0974, 0x2995220f, 0xd9c28983, 0xbbac1c91,
+    0x5e458d67, 0x9213d0dc, 0x6d7f00f1, 0x76eb34e2, 0x136ae4d9, 0xc13eebd1, 0xaa0b4497, 0x4fbd2e23,
+    0x8dd00c6f, 0xad969d18, 0xe8fa6759, 0xf28f49c4, 0x9111d991, 0x83202a17, 0xecfef167, 0x9f03008d,
+    0x9de5daff, 0x010257ab, 0x10739c01, 0xb4137443, 0xcda6245c, 0x1dff9ffe, 0xb3d22404, 0x0d410843,
+    0x850200e3, 0x9b552bfa, 0x0983efed, 0x214e8824, 0x1ef7aa11, 0x7e3f4e6c, 0xf051c519, 0x6e75ee09,
+    0x0ecb4617, 0xacddf45e, 0x13a52791, 0xa8487a6d, 0xe6b4566f, 0x59be1b9f, 0xd2a62d2b, 0xf4a743f1,
+    0x3f367147, 0x713bd373, 0x2b96f7e2, 0xb7ed0a7e, 0x3dd4c715, 0xae69f250, 0x600d8619, 0x9b181fd5,
+    0x3c635245, 0x7e221298, 0xe5940498, 0x80926e47, 0x8dc5e552, 0x87e5e619, 0x2fd169c2, 0x76290b10,
+    0x56caaf2c, 0x8c465268, 0xbb595917, 0xd55d5f85, 0x3e3e63c6, 0xb83c77be, 0x1dd379c6, 0x6ec5de43,
+    0xd21c9dcb, 0xf79ea578, 0x933f3a3d, 0xd1e57d81, 0xe6dea25f, 0x1101cc0c, 0x85fdd914, 0x23588e66,
+    0x4824b403, 0x9032806a, 0x4707e41f, 0x7ddba85b, 0x44913005, 0x848a4938, 0x0911b03f, 0x57eef5ce,
+    0x8ad8c6ba, 0xfb6ac215, 0xb89c316e, 0x790ab016, 0x6d52f010, 0xc7e89652, 0x925523c7, 0x5aa6ff2d,
+    0xe6e2ad3c, 0x2f9fde89, 0x0fe4903d, 0xf7e5d38b, 0x4149c408, 0x44148b43, 0x8b225360, 0xa425ded4,
+    0xfad1cf18, 0x51ceb845, 0x7820864f, 0x1526a327, 0x226e052b, 0x06a24189, 0x0cf4f75f, 0x96378be1,
+    0xeafd3a51, 0x49bec97a, 0xdc134744, 0xbefdec30, 0xc6fc41d4, 0xe4e1d98e, 0xfc365f27, 0x2ef39bae,
+    0x300da8b1, 0x378ab823, 0x1b6e73ce, 0x72376843, 0xf3b7141a, 0xc89a56e5, 0xb25fe0ec, 0x1c15ce9e,
+    0x018b840f, 0x9a5ffa42, 0x912fb45f, 0x827aa751, 0xd5a94ec0, 0xb2f4564b, 0x487eaaea, 0x9ad9b84c,
+    0x2d06ad57, 0xe1380c74, 0x8960705a, 0xbfef8818, 0xf236d012, 0x0df5c038, 0x5e90fe8b, 0xbca3fbf9,
+    0x70e4b1d9, 0x50697104, 0x36c49b85, 0xabbb41ab, 0x73285b64, 0x384c938e, 0x70ec52bd, 0xc8acd866,
+    0x8a13f8c7, 0x76073522, 0xf35ee27c, 0xd0955089, 0xeec70d49, 0x4bd06cbf, 0x1b34012c, 0xa53f6dc8,
+    0x3bf4ec6c, 0x7c1043ef, 0x38ebaf02, 0x0efd76f2, 0xd43cf462, 0x2e0df0d3, 0x6d55c5bb, 0x2a6c5418,
+    0x75df4633, 0x18d6e9c1, 0x2544efbf, 0x3134367f, 0x8241d39b, 0xee465ec4, 0xe0ca0613, 0x057281c2,
+    0xd3e93a87, 0xeaa06a9e, 0xb8327ebb, 0xfaa60bd8, 0x11d44d5f, 0xaa8743fc, 0x8a26084e, 0x536dd3cc,
+    0x99902ef0, 0x5f7abaf6, 0x94306f66, 0xe4ddc0ed, 0xf405a9b4, 0x10857130, 0x2d464cff, 0x1e9b9c00,
+    0xb51e863b, 0xd97027f2, 0x593150cc, 0x23e87d85, 0x0726ce88, 0x14abdfd1, 0x8e138aca, 0x265b202a,
+    0x0d373063, 0x773a32ac, 0x194cd7cb, 0xd9cb9ed0, 0x0fc561ce, 0x6a934c40, 0x2c726af6, 0xf965f606,
+    0x954c2160, 0x9dd34bdd, 0x29df3279, 0xd02730ea, 0x3667cdbb, 0x95fd93d3, 0xf7d4df19, 0x9cc219c0,
+    0x5ca61f15, 0xaf32de91, 0xcd6215e3, 0xe4f0e3b4, 0xb73002d7, 0xbd4b4c7d, 0x76805e22, 0xfdfe24ec,
+    0x259a24e3, 0x08ed616d, 0xd39f2af9, 0xad3eabb7, 0x7bcdbdb8, 0x063adb41, 0xe2c615b7, 0xc196e314,
+    0x3514259e, 0x2030db33, 0x93cd5f3d, 0x2689742c, 0x5794cb2e, 0xf040552e, 0x2d1f6dd3, 0x4875be53,
+    0x7eb50dc0, 0x478390ca, 0x55585f48, 0xf43da9f1, 0x057a4a44, 0x85871af1, 0xb02cb814, 0x9a1fe61a,
+    0xe13a77f2, 0xeb379a9a, 0xc2a991ce, 0xe9457a10, 0xf3babe24, 0x32219465, 0x22959038, 0x59c1fc44,
+    0xb3566ee3, 0x1895aaf2, 0xe582caa6, 0x7e4d4eea, 0xddd32136, 0xff91b326, 0x4acb224c, 0x7f500097,
+    0xb2c0ac45, 0x8f7d64c9, 0xee4cd533, 0xaf67253d, 0xf1ed6af4, 0xf3a62723, 0xb33c5cb8, 0x82ce29b1,
+    0xbdfb2c49, 0xadfc409d, 0x0eb9e0f8, 0x1bd48422, 0x13151c90, 0x30c1810a, 0xd87b9309, 0x2077bf76,
+    0x35f93313, 0x3540181a, 0x8942ca59, 0x7dd76bbb, 0xc94cab3f, 0xd394408f, 0x4c383059, 0x705457a7,
+    0xb8b3c12d, 0x6cbf7acd, 0x4fe93676, 0x62bd038e, 0xfa0ecc32, 0x120a589b, 0x0fd32862, 0x84aea1ac,
+    0xc79b18b5, 0xea870f0e, 0x5c2ddb15, 0x0b62c911, 0xc97ff463, 0xe3098f7a, 0xb11eba95, 0xb3263950,
+    0xe2456303, 0x544f5f5c, 0xd9c61b3f, 0xf76a1fb2, 0x77ed98d7, 0xae987108, 0x75378460, 0x5d2b2b56,
+    0xd36fcda6, 0x032588e6, 0xa8e6b084, 0x34796ba2, 0x221e2133, 0x083dc9d1, 0x90543ca6, 0xc9272cdc,
+    0xe6483eba, 0x5c7d5e4a, 0xcc3dea6d, 0x87704330, 0x4fe55b7f, 0xcb758870, 0x0df687fc, 0x9c2213cf,
+    0x9a0bacf4, 0x1cc995c4, 0xe92bcb64, 0x8b76bc76, 0x64b88218, 0x89cbb1b6, 0x25c2bfeb, 0x2c3d5caa,
+    0xabb335b5, 0xa0be1498, 0xa3f28965, 0x149e54f1, 0x76eb29ce, 0xa1155207, 0x68dc6091, 0x2549738b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000010633823966279326983230456482242756608 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6f, 0xf4dafdb3,
+    0x00000000,
+    0xdf5667be, 0x7729a9c0, 0xff8883a8, 0x08ada283, 0x7a7fd121, 0x06e80291, 0x893d4935, 0x84a92562,
+    0x42817ef3, 0xf0b535f6, 0x20fac6a0, 0xa61bca08, 0xc667252a, 0x1725357f, 0x8091f91f, 0x01347db6,
+    0xe18da943, 0xfd592d3c, 0x0a13b156, 0x3f347d70, 0xdba79a96, 0x72ec18ef, 0x9e0add6e, 0xaafee54c,
+    0xe1f99196, 0x51711d7f, 0x456e0c56, 0xa8b3d5e4, 0x9b063f90, 0xd2497435, 0xcedfab7e, 0xbad1952d,
+    0x61c39d0e, 0xb67c4153, 0xfb85facf, 0x3cbb17c8, 0x5750335f, 0xe9e7cfa3, 0xe757c422, 0x9c084cfe,
+    0x3a71d68c, 0xa21b8dfe, 0xc04a04d0, 0x59bff5bd, 0x71b90b20, 0x990f9022, 0x27823128, 0x78dfe156,
+    0x3ff935db, 0xfebce7c8, 0x38f04c79, 0xa8137973, 0x834eb114, 0xb41c83f8, 0xab9c8819, 0xc592b365,
+    0xf4f01f24, 0x55109263, 0x346f5e12, 0x4e1ebb4c, 0x78b9fb45, 0xc72072ee, 0x0979b8d1, 0xb2ba3288,
+    0x9f5976c9, 0x0e2dc1ff, 0xe5f10f9d, 0x9e8e3fc7, 0xc012d746, 0x997747f0, 0x8fcf630e, 0xee5895f3,
+    0xe2068153, 0x3963875e, 0x0676fdc8, 0x82928190, 0xdd5a8b4e, 0x22487156, 0x2295977a, 0x79118a27,
+    0xc9dac611, 0x1fd4a402, 0x2ffacc4d, 0x66f60763, 0xa44db83d, 0x3729fabf, 0x55341d08, 0xb2fe4d08,
+    0xb44377ef, 0x1bf4dacc, 0xa0928a7e, 0xeed2e8c6, 0xaef7ddf4, 0x66d109c7, 0xc149005f, 0x0914eb6a,
+    0x13c2e4ce, 0xc65b1497, 0x4e91d10a, 0x9b83c607, 0x52583dc6, 0x293ba7ed, 0x4e7756da, 0x40bca450,
+    0xab696cd7, 0xb6ae8069, 0x609e61da, 0x80de154b, 0x8d95b704, 0x38d3c3af, 0x87643bf8, 0xfd926092,
+    0xdca9ad0e, 0xd10c54c0, 0x457b2f8c, 0xe1c64815, 0xcaf70520, 0x79813f7c, 0x39c4a842, 0x56eacf5e,
+    0x9080d1e8, 0x20798f21, 0x6b6549df, 0x63e47c38, 0x6fd2e501, 0xc5cdbf3e, 0x0edc5641, 0x9f38e2ff,
+    0x521fd048, 0xd56c048c, 0xc434d74a, 0x7f8a8065, 0xb9a52cf7, 0x6a790a8d, 0x7b7d54fc, 0x87e337e6,
+    0xc5b2fd52, 0x26b070b0, 0xc2b6dee8, 0x223b869f, 0x48960950, 0x5344efe2, 0x03239b5b, 0xd0fb7425,
+    0x4b59bd5a, 0xb710e2e4, 0xe077d17a, 0xfa246ee1, 0x0a406794, 0xf8d5ea34, 0xc9895fa5, 0x7f964b4e,
+    0xd2962898, 0xead6da36, 0x692bd6b9, 0xfe6c3ae4, 0xfa216bcc, 0x0c6b300e, 0x61487b1d, 0xe5bdaf48,
+    0xecb6d48d, 0xe8419184, 0x6c187661, 0x46901238, 0xc484ae19, 0xc9a2cb53, 0xd35a6a68, 0x5c3d6b30,
+    0x8aaadb0d, 0xd582967a, 0x1fdbe46d, 0xb709102c, 0x5b9e7f75, 0xb9d7409b, 0xa5ca00b1, 0x17e304a2,
+    0x4aed75d5, 0xa5b08e84, 0xe53a5bdf, 0x31b865bc, 0x66341791, 0x70cbda16, 0x39ef49ae, 0xa290bb3e,
+    0x2f425231, 0x300b95f4, 0x2701d426, 0xf51cc596, 0x5c4b1512, 0x0a0d29ce, 0x0e1bc598, 0x9b107b60,
+    0xe7a3ace8, 0x1f681b19, 0x668cc5ee, 0x6cf333bc, 0xc0809af3, 0x98f448b9, 0xbbc3467d, 0x390c7519,
+    0x0680f86e, 0x5e9246f7, 0xc7283d40, 0xa53b22ba, 0x6147fa75, 0x54b41237, 0x288ad12c, 0xd3fd708a,
+    0x41b9e01e, 0x4fb67e15, 0xd094a1f9, 0x5a9f6336, 0x8fd16982, 0x13197024, 0x1b42ceef, 0x84773059,
+    0xd74c675a, 0x7912ada9, 0xcb982b06, 0x7ed79562, 0x69f1f658, 0x3b6cff30, 0x391cc7ed, 0x04a3af46,
+    0x0efa6170, 0x8ace9f4e, 0xa25b6b21, 0xf15b093d, 0x2973f7a1, 0xa8b7eedb, 0x0f7a94e5, 0xf2395977,
+    0xe40b4fcc, 0xc8f35b09, 0x376a3603, 0x1cb764f1, 0xb239f948, 0x59bd5c0d, 0x4fd26c72, 0x1eb73c88,
+    0x1c38b849, 0x208eadfb, 0x6df11776, 0x72213f3b, 0xeb8f9353, 0x06a7f3bf, 0x90170681, 0x8e009fdf,
+    0x50fb791b, 0xdb39673b, 0x5df5ac65, 0x66f7d999, 0x56c78a31, 0xe88f973f, 0xfb2cb75f, 0x02278b9a,
+    0xfaa8471c, 0x03e8425a, 0x5e20a148, 0xfed960e6, 0x4accb186, 0x629f2c2a, 0x69cd409f, 0xc68f7f50,
+    0xf620d338, 0x9612afb0, 0xa6eb862c, 0xcad8e446, 0xe7a9f955, 0x3a769b7d, 0x571c8531, 0x0a0d33b3,
+    0x7db63981, 0xf27b9877, 0x271fe92e, 0x8881c073, 0x7341ef0f, 0x232465cf, 0xc047bf4c, 0xce9b00f6,
+    0xc70a48d1, 0xad11c35d, 0x6f0cb4b9, 0x2eec69b5, 0x87676a67, 0x0223268c, 0xdcdfc633, 0x4d0f7310,
+    0x9aeb0f4b, 0x534961c6, 0x06aa80da, 0x55253447, 0x56735388, 0x7eeb831c, 0xb7813265, 0x54533d6e,
+    0x1511b10b, 0xe372e9dc, 0xfb5defaf, 0x868c2735, 0x717c07ba, 0x5a835995, 0x084635c4, 0x06740db8,
+    0x38142879, 0xfbe4057d, 0xa3a148e8, 0xbd9e24ce, 0xcaad43e1, 0x0cd1fc49, 0x42314a9c, 0x27c84a34,
+    0xa8f0ddb6, 0x6eb87d7a, 0x6e500628, 0x3e2205f1, 0xf701394b, 0xe946dc90, 0x218db9c2, 0x6f33dcfd,
+    0x5913d3e8, 0x4178eb71, 0xa3617182, 0xcc7bb0ce, 0x1712440c, 0xfc8ed106, 0xf07416c7, 0x0b8c8c30,
+    0x9b847165, 0xec5f7130, 0x0885ffdd, 0x35130d8a, 0x784df447, 0x70bc210c, 0x82d980ee, 0x18aeb689,
+    0x243b34e1, 0x3abe61b9, 0x2410935d, 0x0a7db63e, 0xf0edf951, 0xe268c0d0, 0x3f361ce3, 0xea571966,
+    0xd6294744, 0x62f4d1aa, 0x94ad087e, 0xa637fa37, 0x23ae3e9a, 0xde84e253, 0xebf2a70a, 0xbad8c08b,
+    0x18e71776, 0x0cac093c, 0xd378a684, 0x26901f3b, 0x1b57d9ff, 0x6f819c00, 0x627dbdfd, 0x62dd6526,
+    0x00e7ddd4, 0xf2827cf9, 0x28a2c933, 0x6aa447cb, 0x68e00814, 0x59132ffe, 0xd4bfa597, 0x9fa1ee7a,
+    0x96d30348, 0x042fe3ea, 0xd4cf61f9, 0x82bcf512, 0x3b7364c9, 0x7f4783d3, 0x49b85f4c, 0xe6f53410,
+    0x5dbbec7b, 0xaee2d2dd, 0x80ac9227, 0xcca0c4e1, 0xae08aca8, 0x2435a566, 0x0809cdcc, 0x0ab36093,
+    0x99309727, 0xcb7b537e, 0x704887ad, 0x35fc17ec, 0x634345ab, 0x7267a38c, 0x4ef40cd3, 0x7c7dafd9,
+    0x2f8f687c, 0x0225e1c8, 0xabae253e, 0x653723d1, 0x0dcb0074, 0x6467aca0, 0x8c57e162, 0xbf307ca3,
+    0xe4b6fa59, 0x768acd4d, 0xeb08d242, 0x59e1fb22, 0xe41db202, 0x8d9b699a, 0xf6095e04, 0xd7e4216b,
+    0xe7d77087, 0xb55e39ae, 0x984960a5, 0xbaa81165, 0x8249f0e0, 0x4dbd1e6d, 0x2be2d4b1, 0x88705430,
+    0xe72d4b13, 0x4cef8482, 0x349bb8ab, 0xb2a1390c, 0x98599903, 0xa47aae3a, 0xb4c5fdca, 0x3978493b,
+    0xc42b1427, 0xaa0a5c8a, 0x370878e5, 0x49058047, 0x349f8db4, 0xc1b5fe05, 0x40074cc3, 0xc5cc98b9,
+    0x03e9c117, 0x97113892, 0x01a5180c, 0xdb97fb5e, 0x89c65aa0, 0xc54a6fc2, 0x26e11c4b, 0x9f8b9aaa,
+    0x87020e2b, 0xa4072fd8, 0xd19e6851, 0x4784126e, 0xbdc28b74, 0x03259f3b, 0x733557ed, 0xf7a880e2,
+    0x0c8d6dbc, 0x62433958, 0x48c2715c, 0x2ed9534b, 0x174c36e9, 0x50b3187b, 0x96fb3d13, 0x2d3cbab6,
+    0x1abecab9, 0x085c3c63, 0x96d364e6, 0x3123de8f, 0x258ed5b7, 0xe121e759, 0x64fe25f5, 0x5b431fec,
+    0x4f67080a, 0xebd87f0c, 0x444e3c9c, 0x27d072c6, 0x253915bd, 0xce728e25, 0x91f4dced, 0x33bfe63c,
+    0xd5829998, 0xd36d0b71, 0xdda862fe, 0xd2aa1d58, 0xb4444095, 0x9e94f0b3, 0x5edddc86, 0x40e6b79a,
+    0x29245ef7, 0xb65b84eb, 0x1c1d70d0, 0xde2e489e, 0x40029f09, 0x79ee9b7b, 0xae0f50cd, 0xff645f7a,
+    0xc2d46fa3, 0x42c0c126, 0x7421c09b, 0x2b086696, 0x5284969a, 0x75dc98c7, 0x0939e45a, 0x0e06e5c5,
+    0x96ee7d12, 0x1213648b, 0xc9869cca, 0xd2469f22, 0x35c4d4dd, 0x8b5f0bb3, 0xb17ace24, 0xf4eb23a3,
+    0xb6181469, 0x28d908fa, 0xd1c36e3a, 0x4651ba89, 0x8531b87a, 0x6626ba56, 0xba6152b3, 0x1f9b4b61,
+    0x0502993c, 0x1b038e00, 0x454c91bc, 0xb7ad796c, 0x03e8f8f0, 0x72516bd9, 0xb3183d52, 0x5117e49c,
+    0xdec2b8f5, 0x773edcae, 0x02ed4f3f, 0x75ce40c4, 0x1996854e, 0x4db9de3f, 0xb884e601, 0xa2140a59,
+    0x79dc6b4a, 0xe7333a1f, 0xd71ffadb, 0x66dbde92, 0x22a683b8, 0x7d8cc146, 0x759ea3ca, 0xae24c086,
+    0x56d81c2e, 0x6b14c4c1, 0xc4116317, 0xf0943633, 0xf176e08d, 0x1e0bb07f, 0x25b562e9, 0x12c20228,
+    0x119b2a21, 0x20ff212f, 0x19508773, 0x5fb7000a, 0xc37dffec, 0xcd50fb32, 0xbc76021e, 0xa68f0529,
+    0xc05414af, 0x7b077f29, 0xbbace578, 0xa4e6597a, 0xdd22a848, 0xdece4024, 0x0168ef92, 0xef7a3f4f,
+    0x00666603, 0xe1b1eada, 0x92271639, 0x6a67704c, 0xf71f24d6, 0xffe83f5f, 0x5b79bac8, 0x26fb0ac5,
+    0x158d12f7, 0x4edb49b1, 0x48583f8b, 0x5469530c, 0x25439d9a, 0x6d278022, 0xb401435e, 0xaded46d4,
+    0x980030ea, 0x0413bee0, 0xe0586ab3, 0x44282f7c, 0xa255dcbd, 0x1ee739a2, 0xe82e91e5, 0x42c4fd65,
+    0x4053e97a, 0x64004310, 0x6edbfdfc, 0x38d137d0, 0xdfcd25e9, 0x52d155a7, 0x5f76e69f, 0x91bca37c,
+    0x931a24ca, 0xbddb43b4, 0xdc56f5e3, 0xb6c5ec45, 0xc292ad83, 0x6bbc1c9d, 0x48db3cc2, 0x58d670ef,
+    0x7e2dd6f5, 0x038c19b1, 0xf144056f, 0xe7ec3c90, 0x7392b987, 0x37e3b77b, 0xcc7a53da, 0x8ed865fe,
+    0x170c7714, 0x5d948053, 0xdb5bf726, 0xf71b84a9, 0xc3903a67, 0xe1a97224, 0x6279b319, 0x7d4909cb,
+    0xbbfe35f2, 0x6b67296d, 0xac67d4c5, 0x3574dbb0, 0xbb7e97d2, 0x786279c7, 0xa62c2a5d, 0xb462799f,
+    0x18432156, 0x935c41a0, 0xdf32e32a, 0x626dd558, 0x5acce774, 0x79673043, 0xae3eab5b, 0xd697acf9,
+    0x4b3e5b16, 0x7829d22b, 0x2c3d8829, 0xdeddc4ac, 0xc92ca1b7, 0xff2dea34, 0x96b506ac, 0xb0eddfa4,
+    0x21693934, 0x7e20dd9c, 0x1e57e033, 0x0e7ae475, 0x9a80bcb9, 0xc4468ea6, 0x013d6f74, 0x9a60c4ad,
+    0x3d0a4ec9, 0xec944722, 0x72adc8bd, 0xe1407f5c, 0x9050e9ad, 0xa336846f, 0x6b06e75e, 0xb3ce4b72,
+    0x2bb1858a, 0xb7f14bd5, 0x006756c4, 0x889ec674, 0xa959e299, 0xdc5e3891, 0x79a8bcd9, 0x1e4d1ae6,
+    0x74ba26ba, 0xb465b1fb, 0x60185a86, 0xbb9210da, 0x0175c93b, 0x3722bf35, 0x1bf78cc5, 0x7b3a1e75,
+    0xe3ba6914, 0x27cf6223, 0x3f28c79c, 0xdb923b02, 0x052be14a, 0xb0984ec2, 0xc26072d0, 0x168154f5,
+    0x0d23fa91, 0xb9310eb9, 0x8e82a575, 0x1dc8427b, 0x9f2a6723, 0x36b8e827, 0x26212a11, 0xde88d94e,
+    0x375a7099, 0x7880e7f0, 0x8b236169, 0x2ff82a84, 0xd9932fe1, 0x5f1a1543, 0x91c59848, 0x53cb0444,
+    0x8cc7fac3, 0x082381cc, 0x32960f4f, 0xa2be5ca4, 0x8ef8a7b2, 0x92c51ce9, 0x7f09196f, 0xac73ef91,
+    0x337df95d, 0x7f28bfaa, 0x203111b2, 0x265a977e, 0x42ebb74e, 0x339e5cda, 0x200aed75, 0x23280578,
+    0xd87b4c3c, 0xb2aa0dda, 0xa9b8f381, 0x4e628461, 0x920af042, 0xa0715bc0, 0xf400e4db, 0x165c3e9a,
+    0x5a619537, 0x45f69534, 0x6cb7d948, 0x013ec1a9, 0x55228646, 0xf7d4a280, 0x31d7db5f, 0xf312fb65,
+    0xcd050295, 0x396c5bea, 0x4af2c109, 0xc4acc271, 0x6f78f823, 0xcf5c545c, 0xf83c5a26, 0x54806a04,
+    0x5c943db1, 0x633a73bc, 0x2639e33f, 0xc7e14f3e, 0x0570c1f4, 0x4dd8c7e5, 0x4b2db4fc, 0x744c0d75,
+    0x6aa9d605, 0x94814507, 0xc777af7f, 0xcdda9af1, 0xb9a46d89, 0x07faaedf, 0x7f69caad, 0xa04a4c75,
+    0xcf380770, 0x8f1804e1, 0xe56faf4d, 0xf144f943, 0x5b2c6fc7, 0xa62ed6bb, 0x88aac06c, 0x6b3d2e39,
+    0xaae28458, 0x5ab477ac, 0x967aac3d, 0x1d831ec9, 0xc8151c00, 0x2c16d24b, 0xfed2d02e, 0x32eb8cfc,
+    0xdd8543ab, 0x453cc09f, 0x71b71eff, 0x64dfe5cc, 0xdecf365d, 0x73fdea73, 0x02825c4e, 0x7919c6c6,
+    0x7d9d84c2, 0x3d95ba31, 0x0eed2922, 0x8cfd1a3e, 0x56f69ee1, 0x3e6ab199, 0xc2765bf9, 0x3a5d579f,
+    0xf0e4eda1, 0x6d006885, 0xeadc0fc3, 0x4b3a15f8, 0x36766fa7, 0x3333e583, 0xcb69c74d, 0xea28c820,
+    0x4605ccc0, 0xbca528f9, 0x17139c61, 0xe0201261, 0x8953281e, 0xf88234dd, 0x88076223, 0x34e25ec1,
+    0x9f44d328, 0x1624b63d, 0x1349b1fb, 0xa073a135, 0xe0fcdd63, 0xb952bc11, 0xaaab48c5, 0x724e0b6c,
+    0x02fe7c4f, 0x964ded4f, 0x3c52aab0, 0x5d3cb93d, 0x91bac208, 0x79e628d0, 0x28ef1318, 0xd422c417,
+    0x002d9140, 0xe956c2c7, 0x4f184d14, 0xdb65c103, 0x8b6f775f, 0x39331647, 0x7f17dfc0, 0x2a703870,
+    0x21e58a60, 0xc4d1f4de, 0x95ae45bb, 0xd78d1b51, 0x80467e12, 0x42b0fe5f, 0x81e0e6be, 0x1d3a2cb9,
+    0xe09b1115, 0xc6ea6c20, 0x8c34dcbd, 0xf1ad0303, 0x65304bd4, 0x6119267c, 0xf8442673, 0x5e41b1d4,
+    0xceee973b, 0x22483e8f, 0x2d9966cd, 0xaa92b364, 0xc43daab5, 0x75f7d449, 0x15658aad, 0x7e1e4f4a,
+    0x0fbcbadf, 0xc33c8a76, 0x7833c2c2, 0x6dc9f7ce, 0xbcd24287, 0x4db63c4e, 0x56cc1360, 0x4dc8bd0f,
+    0xbc38a230, 0x3e0e9b91, 0x96fcb295, 0x78d90b7a, 0x46adbabb, 0xb1d32d98, 0x88108d1e, 0xb47f6c39,
+    0xa8768390, 0xcb08abc0, 0xab009045, 0xc30ab377, 0x7582a7f5, 0x29d65fdf, 0x2258349e, 0x53255707,
+    0xdaa2838e, 0xba7c28d8, 0xb78c43da, 0xef9697a9, 0xf7830fbd, 0xdf77f792, 0xda90fc52, 0xc277fbb8,
+    0x383fc2fb, 0x71039e8e, 0x329c50e0, 0x8ee1073d, 0x9a087ea4, 0xe4dae75d, 0xba59346b, 0xbeb9ff98,
+    0xb267e37e, 0x492e0964, 0xc34a0942, 0xc639460b, 0xe95e263c, 0x753bc1f3, 0x6a809c2a, 0xfaabe396,
+    0x122261dc, 0xcb38fa9f, 0x57d74c78, 0x45a76b7d, 0x7e45957f, 0xf7ee1aac, 0xf9afbd84, 0xc91241f2,
+    0xadf9cbf3, 0x333d6535, 0xf9175d3b, 0x94557ee6, 0x2ca70a44, 0xd3c4df6c, 0xcdad370c, 0x7c112dee,
+    0x3f2b8d75, 0xa0d704a7, 0xe0ad370d, 0x16cfac53, 0x2b2b5d4a, 0x52f76743, 0x55ad7015, 0x03ff72bf,
+    0x75c3ee9c, 0x15e6737b, 0x86bb213a, 0xab007bf4, 0x96619c77, 0x31442d26, 0x38df49f4, 0x256f95bb,
+    0x4c327452, 0x9db52421, 0xbdfe8e62, 0x659825fc, 0xb4018c93, 0x1551787d, 0xf612d747, 0xe90e2600,
+    0x02c1b4b2, 0x648add6f, 0x6cf29ed9, 0xd7ca7d0e, 0x5ea3d08f, 0x3208a5f7, 0x73c2e616, 0xb3ef1c8c,
+    0xfaaf1f3b, 0xb9d53f3a, 0x3afa8920, 0xfe99141a, 0x71151f0e, 0xf5e0b1af, 0x2587eafd, 0x9d6ff06d,
+    0xd979919a, 0xacf46ef3, 0x78354d2b, 0x549aa181, 0x97b412d4, 0x18ca9406, 0x2b031750, 0xec329130,
+    0x2f05c561, 0x966f6277, 0x82a8bede, 0xb2746bae, 0x72cec8fe, 0xd9dc7937, 0xa052ad6b, 0x7872d38b,
+    0xe9747d95, 0x2680e357, 0x083096ba, 0x153258b8, 0x60d4cb48, 0xff663f45, 0x27daa362, 0x538c0552,
+    0xbfef54ea, 0x8e29c8d6, 0x14558de6, 0x8866be3b, 0x2ab81fcd, 0x580e9e51, 0xef10e306, 0x08cd225f,
+    0x3948b7a0, 0x69e7cd7c, 0x5bbcfbcd, 0xd94f56cd, 0x2bf8212e, 0xdb66e6c1, 0x92c88d60, 0x0066c2fd,
+    0x62cd4c93, 0x3eaad2f9, 0xff534b45, 0x3d1481d1, 0x21121212, 0xc0dd47f8, 0x4b30e8aa, 0x5a5f70b2,
+    0xa855139e, 0x0f663e27, 0x50b3ae6f, 0x0d656ad9, 0xc300ad2b, 0xe6de8e13, 0xb7ff362b, 0x61579338,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000005316911983139663491615228241121378304 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb7, 0xfa6d7ed9,
+    0x00000000,
+    0xa913d75a, 0x8d9dfb18, 0x3a4f7cf1, 0x18aa377f, 0xaaa76a6d, 0xacfffc69, 0xb9954b86, 0x3f415e52,
+    0x5fed9882, 0x99f5d827, 0xf063688c, 0xa14c2203, 0x0da68516, 0xd7a9b437, 0xb861d13b, 0x7cb462c2,
+    0xbe60f7d3, 0x8d1397ac, 0xe7b34397, 0x196dea11, 0xab72261d, 0x64c85f47, 0xb23ff7d1, 0x5d0492d7,
+    0x95e52acb, 0xfe882d38, 0x20e54b83, 0x90b961b6, 0xa8c8780d, 0x140ded70, 0x46aa9e34, 0xc6937c36,
+    0x9ecad096, 0x53ab8191, 0xf42b6e3d, 0x1c2edd1a, 0x3dc65fd1, 0x232eaa9a, 0xeb26852b, 0xb4f8f935,
+    0xe584aed5, 0x4dbc4ada, 0xbc5acd69, 0xdc05f906, 0x1e5796a1, 0x8c1ba3cd, 0x5dca00f3, 0xe9a3bb4a,
+    0x3278e865, 0x2dad73bc, 0x588dfff9, 0x93298769, 0x8585c367, 0xedacaac7, 0xbffa0736, 0x8510da2b,
+    0x2e942a88, 0xc56e5ad4, 0xffa25364, 0x56b2138f, 0x5e7012a0, 0x36840891, 0x57ba1e7b, 0x812b103e,
+    0x4e3d6e51, 0x9a58dc40, 0x01cfc74f, 0x47ced0d7, 0xc1dba890, 0x7f8b66f6, 0x04e4c856, 0xd6a55ad5,
+    0xb6aab109, 0xf97f4c2a, 0x10340592, 0x5b443555, 0x678e9fb5, 0xf91b87dd, 0x23778585, 0xf28f27f0,
+    0xfeb262b6, 0x068a5275, 0x28dfc7c8, 0xd8b74e22, 0x5262c45c, 0x2eed5826, 0xcbdccb49, 0xdaa40028,
+    0x9320431e, 0x2bbe426a, 0x08fea5a7, 0x333f7344, 0xa7596d05, 0xc08f042a, 0x43f19ef4, 0xccebcf07,
+    0x5c4f9490, 0xbd40612f, 0x5bb1b128, 0x22d1fd5e, 0xe8a0424a, 0x6d76604d, 0x04a81736, 0x99fc6bc8,
+    0xeb3f91c6, 0xb69ae2f0, 0xddb11fc9, 0xab4d0fbc, 0x0439de96, 0xcf054598, 0xb732ba3e, 0x003b5731,
+    0x5449b86e, 0xe43384ba, 0x7a5593c8, 0xf4ac9b1e, 0xc49e0080, 0x48332639, 0x076e2956, 0x5e4c85d1,
+    0x8f2e9cbd, 0xac61b547, 0x0a480f9a, 0xa32c252c, 0x2b5e4cda, 0x413e5005, 0xd28c7fff, 0x4a951df4,
+    0x7564d37a, 0xb0b09b01, 0x1e4e111c, 0x5e22ec34, 0x752a8f4d, 0x92553883, 0xa2e95eea, 0xd904449e,
+    0xc8513f20, 0xc542bdce, 0x06206f9b, 0xd923abfa, 0xd0f31ec9, 0xb3c87f35, 0x37d31cc1, 0xee2afc7e,
+    0x816eeb75, 0x1f276d65, 0xc94df830, 0xb7072f07, 0x86e7d23b, 0xedde59d2, 0x321b8890, 0x1e3df4ae,
+    0x8c8a4d29, 0x3a8b48f3, 0x328d9da8, 0xd28b0145, 0x87e97e2f, 0xb7ef5891, 0x86446429, 0x5df6381b,
+    0x68746282, 0xd1bc5311, 0x0f0a7586, 0xb103aff0, 0xd33fc597, 0xac016592, 0x2da60e5e, 0x63652f3c,
+    0x98f117bd, 0x7cccad05, 0x6b098ed0, 0x0b0fc683, 0x2b4fd10a, 0x51207d68, 0xe2d1bd64, 0xb97938a1,
+    0xc2b5ad70, 0x259f8eaa, 0x564990f4, 0x2dc79090, 0x6a493b33, 0x738f9121, 0xe4e904c9, 0xea2b2561,
+    0x5181384b, 0x5ab13a84, 0xb7a2f679, 0x944f1467, 0xe81dc98b, 0x5b266285, 0x23b8f1b2, 0x9070c6e6,
+    0x708fedd8, 0x19027ab6, 0x08131625, 0x8d4404e5, 0x1454f6ed, 0x5a91e8f0, 0x56cdfe30, 0x9acb4e15,
+    0x273afa5f, 0x4f5da6b0, 0x65319f1c, 0xfff37cc3, 0x6787a9e6, 0x9438b231, 0x514a1c87, 0xc1ca19b6,
+    0xf7e914eb, 0x887e57b6, 0x1e051940, 0x91bf6dd5, 0x2bf7f036, 0xae09cec3, 0x8d411e67, 0x63ef0887,
+    0xe19b7fb1, 0xa02704af, 0x21343aba, 0xe2eaf5a4, 0x978c67ea, 0x71a302ee, 0xa345aa8b, 0x9e552cb2,
+    0x46423dd3, 0xc3a4a532, 0x4d193744, 0x1c3e4977, 0xcd109d15, 0xace2536b, 0xb38697e8, 0xf9a9d1d5,
+    0x7bcc7fe4, 0x0c4fa0be, 0xaab9cae2, 0x8fd6c25d, 0xcd4825e6, 0x73798912, 0x60358ded, 0x986242a6,
+    0x2d74860d, 0x16f80cb0, 0x6e748cd0, 0x1c521dd4, 0x150df044, 0x2c5737e1, 0x7d879c74, 0x40561c7e,
+    0x66f48584, 0xd1db4d28, 0xf4d10b2c, 0x3b843905, 0x6c30e078, 0x1ef9d5a4, 0x0cf7084f, 0x2e840bb8,
+    0x050ba658, 0xc28b99d4, 0x98e195c7, 0x124e5a0c, 0xd1c9a0fb, 0xd90d18ea, 0x55bcce8a, 0x18964da0,
+    0x76d7e732, 0xaeee7d14, 0xefdb0838, 0x2afc0d21, 0x9c7a854f, 0x621f44c9, 0x9e0ec37f, 0x2567fb41,
+    0x10deae08, 0x1f550c20, 0x3cce5842, 0x5acc542d, 0x7cac76a7, 0xc811c3c1, 0x5e8a3b51, 0xd3dc6bf2,
+    0xda7f5a97, 0xa3c1700b, 0x4a397f9c, 0xb3106039, 0xf4e22d14, 0xf2e38433, 0x5453dd02, 0xbfd072ce,
+    0xa894aaec, 0xd45bd856, 0x9b4fe17a, 0x23617bf8, 0x0431ac2a, 0x10112cbb, 0x1a99de56, 0x0e8187f7,
+    0xdaefed59, 0xddc4b275, 0xa81b9d3d, 0x56e525e4, 0xb5791a3d, 0x0be62b84, 0xbbfe843e, 0x7e47801b,
+    0xfe35d982, 0xd56c5bd7, 0xb22cb585, 0xc4367555, 0x1e3afa18, 0xb96d84dd, 0xc7ee9681, 0xe2def60c,
+    0xcf8925d1, 0x25e73b4d, 0x3e9fa83c, 0x6f138d6a, 0x4256c629, 0x74621990, 0x5af83e2d, 0x3cf98584,
+    0xccbcab71, 0xcf74c395, 0xe9cd2742, 0xe858ad98, 0x74437ead, 0x35fdf266, 0x864c71b3, 0x736cd761,
+    0xf6d72f69, 0x0a3b1c43, 0xaf1dac92, 0x7f9dad63, 0xaca2db6a, 0xc739fd7e, 0x1ee2ca4a, 0x52086894,
+    0x4c70ed73, 0xc835391a, 0x15040805, 0x49542e5c, 0x8404e5c8, 0xd2a82afb, 0x265e78e4, 0x5bc4fef7,
+    0x780511ab, 0x7026d92e, 0xe9c891cb, 0x8350f3ab, 0xa4193e85, 0xf44378f4, 0x8a7108f0, 0xde53cd63,
+    0x8642d66b, 0x61e72bd3, 0xf2c14318, 0xb9a6ff3d, 0x7a825cf9, 0x1405b6bf, 0xdc6b3bb9, 0xb79539f2,
+    0x44cf822b, 0x5b0868ca, 0x291948be, 0x782d7673, 0xc33bfa58, 0x6d799292, 0x8a3873ad, 0x19a3e10f,
+    0xb811a78f, 0x94a79fc4, 0xa8c3a9b5, 0xdbcbe5f7, 0x59fa8b3f, 0x63d8e165, 0x0fdcad13, 0xcc42a231,
+    0xdee1f1fe, 0x0a2e2d6b, 0x9357ee6e, 0xc49b6893, 0x3800bb98, 0x0df9e608, 0x70df005d, 0x76ec7645,
+    0x121971fa, 0x31692249, 0xf0690163, 0x8286f37c, 0xc346969e, 0xbeb5e23a, 0x20809083, 0xc36f44dd,
+    0x3d870467, 0xd73b1ae7, 0x4bdc5053, 0x12a7ce4e, 0xaade3725, 0x3f6a7435, 0xcf52e656, 0x39002941,
+    0x3257d0fd, 0x4038a67a, 0x23291ece, 0xabc1e83e, 0x90b1aa53, 0x25c34035, 0xd4a57b18, 0x32ea1f78,
+    0xfd48bbff, 0x41b9f8cd, 0xa4d83b41, 0x9616a250, 0xab428fdf, 0x8a312159, 0x96383dca, 0x31936b40,
+    0x4b99c548, 0x431f2082, 0xf517ab51, 0x94391359, 0x990c5c60, 0xbad88bda, 0x675d38c8, 0x3634a285,
+    0x4a6a2775, 0x1b30e35d, 0x8b2dcffa, 0x0448380e, 0xe4eb47f1, 0xd6e5edfe, 0x4304bd96, 0xb57e9bd9,
+    0x67346e43, 0x85e64f1e, 0x8ff61005, 0xd378dd80, 0x2e0df27a, 0x000a3a4b, 0x3105f235, 0xa84c07f8,
+    0x5a0d32a1, 0x216fa7de, 0xa71213bd, 0xa87a6ad6, 0x6c65c811, 0x307b68e6, 0xb2d311ea, 0x1aec96b4,
+    0x2fdd827c, 0xfb6056d1, 0x72f62ca3, 0x827cd0e1, 0xcedaa5ec, 0x4ad73331, 0xb13760b1, 0xefe0752c,
+    0x5a7fcd26, 0x92d6aa36, 0x2a4b6e2e, 0xb5958ac8, 0xbcaeac2e, 0x8ce02a60, 0xe33fb1b7, 0xffab2d1d,
+    0x13520ac5, 0xace1ae67, 0x3b53672f, 0xaeae8057, 0x4a5f8719, 0x007000a4, 0x4ce4941a, 0x384f30b5,
+    0xeb5feac3, 0x9e86c5d6, 0xb881d430, 0x7ee45eb4, 0x0110415d, 0xf47b70db, 0x18d321c9, 0x7f1449a4,
+    0x6a8022dd, 0x0ec9ff29, 0x60302e54, 0x559550fd, 0x7dfd5b8c, 0x002a161b, 0x560c00ce, 0xcdb92bf0,
+    0xef323610, 0x92196a4c, 0x015a548e, 0xcb8eb7ee, 0x14aa941a, 0x140e6c8a, 0x6859805e, 0xfea6bcc2,
+    0x624810a4, 0x409fc9ce, 0x587a0d68, 0x0c102b5b, 0x1320741e, 0xbbccd077, 0x2c7dbc3a, 0x0e0c2ebd,
+    0x483b8477, 0x9eb50c1d, 0x7de8fa70, 0xcdbe25de, 0x8b66404b, 0x9b7278d6, 0xfea8994b, 0x3aba5491,
+    0x7f32720e, 0x954b362f, 0x045f14e7, 0x9e5b123d, 0x0a43c826, 0x4ef2b516, 0xe237851d, 0x560025f5,
+    0xf73d851b, 0x8d5fc94d, 0x01337385, 0xd948829b, 0x3694ef88, 0x8f28c388, 0x4bd610ca, 0x4878b5b8,
+    0x6a89fce4, 0x6c5c593c, 0x546df6e0, 0xe5356b05, 0x15a36034, 0x0e12b1e9, 0x828906a3, 0x9f491646,
+    0xdf593738, 0x6bc7956b, 0x7ad0d385, 0x1f62d806, 0x180b72ed, 0x5a44d90d, 0xff783fde, 0xdcdb15ce,
+    0xc38e8d73, 0xf05a4f05, 0x2e244518, 0xa24604a6, 0x61b0408c, 0x6c3476ed, 0xcba84f5b, 0x08287a76,
+    0x065eae03, 0xf9bff7f2, 0x05827cb5, 0x1fc1a433, 0x95def263, 0x1712910d, 0x4b1ad529, 0xafb81855,
+    0xee73152f, 0x9e9d31d0, 0xc7dd1432, 0xc48d547d, 0x58315b91, 0xd8c4c72e, 0x9642bc5a, 0xd925b805,
+    0x62132be9, 0xa33162dc, 0x4283bad0, 0x58d02c00, 0xebbd468a, 0x7b258499, 0xd0d55d96, 0xe311051c,
+    0x652e8a60, 0x7f8f7259, 0x8ae0321c, 0xae788a53, 0x4f978b78, 0x6689576c, 0x96f3e61e, 0xb5539089,
+    0xd057e605, 0x002cdd5a, 0x2798bf0c, 0x9794bf9d, 0xe79527e3, 0xbac4c6d7, 0x7fb1593e, 0x8d4b44f3,
+    0x4f030c0c, 0x02fe7b4a, 0x05f7ce84, 0x113d8774, 0x89656215, 0x622b5d56, 0x935ddbf0, 0xd3dcf0a5,
+    0xd1a2de19, 0xd86b844e, 0x6078fc4f, 0x395e8e71, 0x02c3f940, 0xae71fe77, 0xb9cb4781, 0x3210f173,
+    0xcb7dd497, 0xcbda4f1e, 0xc5dece15, 0xda88d7e3, 0x1616bdf7, 0x1a10b5a7, 0xf702e529, 0x8b57776d,
+    0xe27f8247, 0x05d7cc12, 0xceea8a0a, 0xfe9f94d7, 0x7adf029c, 0xa73fd92d, 0x3988b9bd, 0xd6fedc0a,
+    0xf2a2ae0d, 0x210e8d6a, 0xeef2b0ab, 0xd457c882, 0x9656fd33, 0xb5d5a7b0, 0x599f88da, 0x11f8294d,
+    0x9ef6b44e, 0xa35e7f86, 0x94fba677, 0x9aa4cc1a, 0x186f464d, 0xc10f7b1f, 0x5c7e5f23, 0x2ff5daa1,
+    0xd8a5a269, 0x5b5a7c5c, 0x7ede0318, 0x283b2c8c, 0xcd5ab50b, 0x3b16c330, 0x238da8f4, 0xea022973,
+    0x844c6544, 0x1d4edde5, 0xaa77bbc9, 0xd98f9e62, 0x878082e1, 0x4dfecacf, 0x0c8d84c3, 0x91eeaab7,
+    0x7fccd779, 0xe10fb442, 0xc4a60796, 0xde714af0, 0xd23bf039, 0xfb91b2bb, 0x82c21bfe, 0xd0221b83,
+    0x211aa815, 0x9974654c, 0x569b8299, 0xa3d82615, 0xf8290a2b, 0x0910d2c7, 0x4e4a2493, 0xa54ed6a0,
+    0x9770c58d, 0x5c1060aa, 0xafe38cdf, 0xec14672b, 0xab4b9319, 0x447efdf5, 0xbc1d3c89, 0x08f4cc21,
+    0x3c3c3270, 0xe718be7b, 0x8d8e7f7e, 0x0a020e9a, 0x518463ab, 0x0b1679b6, 0x97f41e71, 0x9cab84d7,
+    0xb53b53c7, 0x8675f8b5, 0x285a9bc3, 0xd50bb0ff, 0x21f889fd, 0xd9a05353, 0x99a1deab, 0x9318de63,
+    0xc2af8b16, 0x88dbef12, 0xb5d52228, 0xd7b9d1f4, 0x1be39d5a, 0xa00f8581, 0xbbbd703e, 0x7d49773d,
+    0x6e43a385, 0xe70cab23, 0x2e923e93, 0x51cc212e, 0x79f57984, 0x8a7fb115, 0x3301e850, 0x8142ddd1,
+    0x545a4863, 0xa225e17c, 0x86c416f1, 0xb140f13b, 0x9cd0a500, 0xee20d0ff, 0x94bb2f6a, 0x4967c13a,
+    0x10d83a86, 0x1ee64c2c, 0x8e9deb77, 0x21994efc, 0x02818e5d, 0xa3360e2b, 0x96b430a1, 0x6d098cd6,
+    0x0ff998ea, 0x572a12f6, 0x5915096a, 0x803326d4, 0xa1752e4c, 0xd372e9b6, 0x6103e2f9, 0xf092b006,
+    0x261b4572, 0x9e894d6c, 0x674693df, 0x3140a4c6, 0x6d9b39da, 0xfb93420a, 0xabec20c1, 0xdf0382d9,
+    0x6fb9815f, 0xe30d673b, 0x7049c3ff, 0x45d44465, 0xad2f758d, 0xd4cfd599, 0x4b988e3b, 0x3c7c8303,
+    0x63322779, 0x22c81015, 0x64a829f2, 0xa62abbfb, 0x8edb23df, 0xb2d84119, 0x73848d40, 0x08b8243b,
+    0x53750ca8, 0x07ab0f3f, 0x0455bfde, 0xf24b15a0, 0x690ffbdf, 0x79507c4f, 0xb5098b66, 0x69f1b910,
+    0x128e61c8, 0xc58e45a7, 0xca584775, 0xd495c1e3, 0xd1563037, 0x4789d9d4, 0x49036970, 0x92cad87f,
+    0x34895ed9, 0x8bd656a6, 0x3a6177a2, 0xaf544035, 0xd261bbd5, 0x8f5e0bd1, 0x2bd55cae, 0x8b5dfd82,
+    0x124c1503, 0x4640b07e, 0xf142cadd, 0xe54742f8, 0x11cfd4e0, 0x459ba77c, 0x8b2dacee, 0x09f4aff9,
+    0x24d3facd, 0xc0c221a6, 0x28e46dd4, 0xe8a0105d, 0x86dd9a0c, 0x8ba5f1a8, 0x3ef083eb, 0xf1bf2feb,
+    0xabc43c9d, 0x598817c6, 0x4e5ecc74, 0x207d3bc8, 0x0e53a4b3, 0xca4b231e, 0xb08dbc39, 0x84ef3a24,
+    0x08964af6, 0xbe3b6c11, 0x65c86401, 0x95183b89, 0xb7817c70, 0x82dc7643, 0x887930e7, 0x7265b59a,
+    0x4e79e929, 0xf55332a9, 0x4f2da159, 0xe544cfe6, 0x7ece6534, 0x6e416295, 0x35c52302, 0xcdbd7c3d,
+    0xc31ea8c8, 0xf82bf5bf, 0xdf337737, 0xb1f73c72, 0x82d40963, 0xe0d170f9, 0x6c0aac65, 0xe7515170,
+    0xc3acb407, 0x13f3d27b, 0x25cd685b, 0x978a7d0b, 0xf6b6c959, 0x3a01170d, 0x62e5a3e7, 0x62413390,
+    0x7f182d63, 0xed10d2b8, 0x843d9fc6, 0x3709baf6, 0x50fc6000, 0x3369ae47, 0x49a104e2, 0xf75705fc,
+    0x5802a011, 0xcd9a2135, 0x8de02881, 0x4caef32c, 0x041efc5f, 0x9cac717c, 0x645559c5, 0x5ae6f71e,
+    0x0e1b6a2e, 0x62649ab4, 0xfc80c8b7, 0xdb34f794, 0xe8ee576d, 0x1f36e6b9, 0x9ab73bf7, 0x61d06319,
+    0x2fa680e6, 0x2062a9c1, 0x7add3649, 0x48eeaa15, 0x9648e1a1, 0x67ed49d1, 0xb8d5b70d, 0x1826d472,
+    0xdacbc6c3, 0xf2a39b8d, 0x29f2050a, 0xb4921e6b, 0x480e7ec5, 0xab855fdc, 0x9722067f, 0x20006fe2,
+    0x2117eba4, 0x7d288e57, 0xf6cd14f9, 0x24bd9e9c, 0x34be2165, 0xde3cf6b9, 0x69012ca2, 0x9bfe6d04,
+    0x9e131a94, 0xe1da84b8, 0x4c14ae68, 0x75ce4aea, 0x24985f50, 0xe5c0d025, 0x0f967025, 0x20a3ad46,
+    0x0465cc55, 0xfbe9eb18, 0x45816d6e, 0x839dcaad, 0x03ea5d87, 0x6b7c00a1, 0xf59b7896, 0xb39d49d4,
+    0xab904582, 0x1c4020d6, 0x3b1cbd89, 0x828c55a0, 0x499b3f6b, 0x9b60e6a9, 0xed8daf4c, 0xead9ae95,
+    0x90f4947a, 0x057a56d8, 0x5f5c4748, 0x63d38d73, 0xa4f6a45f, 0xb97d9626, 0x2147ab98, 0x6110f243,
+    0x7254d9f1, 0x49d4026e, 0x9388599a, 0xb1fa2f98, 0x2b488739, 0xd553a13b, 0xcd08f76e, 0xba71f271,
+    0xde6b6985, 0x3d434167, 0x1b8a5abe, 0xcf80cec3, 0xbf666de2, 0xeca2fa6d, 0xdb20030c, 0xac3207d3,
+    0xe34e4bb4, 0xe91fc18a, 0xdbf1274c, 0xb92dd1fc, 0xeb76fe8b, 0x0d20840f, 0x89b4c4bd, 0xf356d20f,
+    0x94bf502f, 0x8cf0db7c, 0x14de2b3f, 0x8d6ee95d, 0x02930661, 0xcf231c27, 0x837fda56, 0x0eefd3af,
+    0x32b8229b, 0x676f1bb2, 0xa82aa49b, 0x5dc3f509, 0x4769d569, 0xfa88ae50, 0xeb348d84, 0xa6167815,
+    0x40b8bc5e, 0x42c04e16, 0x8ce55bcc, 0xc10e0cc5, 0xaa1a4c70, 0xc56edc39, 0xf8d4d8f4, 0xf2f4ded0,
+    0x628da9a6, 0x199a9eaa, 0x6f83832c, 0xab0db90b, 0x16085432, 0x9987b448, 0x4b23a384, 0xcba567fc,
+    0x40da848e, 0x7dfb4082, 0x0404d6d0, 0xcfa462bc, 0x9679cb39, 0x1bed22c8, 0xf82cb0f7, 0x6312481e,
+    0x45f40b23, 0x20b2eb4e, 0x996ca910, 0xd49fc1fd, 0x09b67499, 0x1da5921b, 0xfedeb8c7, 0xa0070038,
+    0xa847c3e5, 0x3e0f5c18, 0x63b31614, 0xc3d33949, 0xc83660c6, 0x0bfbd83b, 0x2753ec39, 0x8bac0b1d,
+    0x3a8ecbc6, 0xedde9860, 0x09507a1c, 0xed7fe973, 0xb992b556, 0x14a08a1d, 0x1d75b4ec, 0x006fd21d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000002658455991569831745807614120560689152 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afdb, 0xfd36bf6c,
+    0x00000000,
+    0x931ca797, 0xac5561ab, 0x305dd3be, 0x72c19f61, 0x423e2bfe, 0xa41a6893, 0x1d8ab7cf, 0x55e94b30,
+    0xa5302da4, 0x0c96e631, 0xa9a83066, 0x3ee1586c, 0x11818401, 0x02d6f986, 0xfd944e1a, 0x02f10a3c,
+    0x2f677b0e, 0x27e7bfac, 0xc983b8c0, 0x62ed28d2, 0x88cfe543, 0x181f2ea9, 0x75e3c7c7, 0x724eb56b,
+    0x320cabf2, 0x088572b1, 0x340f44fc, 0x59caae23, 0x9e842601, 0x4ac0e0f7, 0x61f21f8c, 0xf66d0aa4,
+    0x9c2f119d, 0x601b78e4, 0x48cb50b2, 0x644015c1, 0x7fca7733, 0x7179c049, 0x0b2a35d2, 0xe1afda2e,
+    0xc7c6c935, 0x3c694491, 0xe36428ec, 0x72d38257, 0x71e2980e, 0xff8c7ad2, 0xdf1b8611, 0x322dbfb1,
+    0x2bc3e54b, 0x7a5246fa, 0x82dcba5d, 0x9ebc9f2a, 0x201361fb, 0x87c94da3, 0xdca473ec, 0xa815c082,
+    0xf52894cc, 0x09380290, 0x28024e73, 0xd62be930, 0xe599a8f3, 0xe81fbaeb, 0x746a4ee7, 0x1336d693,
+    0xeab0ee46, 0xd084ccdf, 0x3a0ddb27, 0x819b3370, 0x853e3b8f, 0x99ad4b32, 0xab8f04ec, 0xee1a0c53,
+    0x5d669372, 0x69f495cc, 0xd4879a25, 0xf7026046, 0x9f3857db, 0xda6cc3a9, 0x5f2ddffa, 0xd53dedd0,
+    0x865e0fa5, 0xa1b6bd95, 0x7b0db403, 0x1293c58e, 0x2977a192, 0x05839d2d, 0xc2473cf8, 0x3a36d5e6,
+    0xca5a6b60, 0x31a74789, 0x8350b7fe, 0x00e8ad8b, 0x394252c0, 0x0f205bed, 0x3c9ba8eb, 0xecd0d012,
+    0x5ea3ffbf, 0x0a13cbac, 0xd23cda85, 0x7f1261ea, 0xec75984e, 0x23f82a36, 0x8cba9bb9, 0x68048106,
+    0xce9c4089, 0x97ea0007, 0xace3ad3b, 0xd8cc76d3, 0x81332131, 0xadce8b6b, 0x945045b6, 0xa8c794fb,
+    0x87e8bcdd, 0xe115d364, 0x3962c58b, 0x60377672, 0x23d93802, 0xe37b30cc, 0x0fdaa55e, 0x9d908bca,
+    0x17404606, 0x0aa01374, 0xe4bc4824, 0x27036fe9, 0x6fe8fdaa, 0x9721b266, 0xf4e15b12, 0xeb9373ae,
+    0xb6153544, 0x892d60e6, 0x21a671c3, 0xe018d691, 0x93d84c36, 0xe56d4e74, 0xf4b8ec8d, 0xa667d337,
+    0x08fb8b16, 0x9e45d2a2, 0xd06d05db, 0xcaec9a12, 0x03bd5b7e, 0xb878aef0, 0xecf4fa47, 0x3afeb71c,
+    0xc9980d5a, 0x179b421a, 0x5e122107, 0x5bec18d7, 0xb87560e4, 0x356dc4fc, 0xf9f74ad5, 0x058a8c20,
+    0x583271bc, 0x1e7e19f9, 0xf2389e50, 0x51fd90f2, 0x03bac00e, 0x7388406b, 0xe0e8de20, 0x4a8b6df9,
+    0x4a56c799, 0x39d261ec, 0x0f5bbfab, 0x08ccb948, 0x6d549ae1, 0x712558a8, 0x20ff7254, 0x5863085e,
+    0x6216cff9, 0x23c33d1e, 0x610b2e48, 0x9803f303, 0x7addbd31, 0x8b2fd332, 0x1f33dfa3, 0xbe20905d,
+    0x0bb1625a, 0x11b8122c, 0xa31e4fe8, 0x4bc5b6df, 0xcfad9501, 0x955a56bb, 0x6710d5a4, 0x3072b2c2,
+    0x93e3e3d5, 0xe232d5e0, 0x862d855a, 0x7c677583, 0xb0e238a0, 0x6bf58a73, 0xc072bc94, 0xc90dc815,
+    0x5f901674, 0x41bcfe65, 0x38c7c24a, 0xd62d7fa0, 0x1897b4ca, 0x81820e14, 0x56ed0b3d, 0xec5e6ead,
+    0xfc54dcfb, 0x0c56067d, 0x5c8faee0, 0x8a064daa, 0xb545cf55, 0xf75f98d8, 0xb7709a9c, 0x4a02b8e5,
+    0x106f7dfc, 0x4d0ee39d, 0xa1f2cc72, 0x97f21d1b, 0x8b296181, 0x3602b745, 0xcabf6bd8, 0x7d2de08a,
+    0x64a5bde6, 0xa522eb58, 0x3f875632, 0x40064d37, 0xf7f7498c, 0xb11e2a1d, 0x46d661a3, 0x2c9eae4a,
+    0x79e1a252, 0x868d92b2, 0x2dac37bc, 0x273485e2, 0x0dda3258, 0x06fa61dd, 0xf6764177, 0xd2786562,
+    0x659cd105, 0x97c44137, 0x6021e9e4, 0x9a129612, 0x14a097d3, 0x20e15303, 0xbf7cc837, 0x8e32cc16,
+    0x4fae5246, 0x17170191, 0xad23c502, 0xbedef82b, 0x428e80e2, 0x3167f9e7, 0x3c8541c2, 0x0d973a96,
+    0xdfe6d829, 0x46ccda78, 0x56d2dcbb, 0xee41ec5f, 0x4fdb92a2, 0xe62e0925, 0xb6364339, 0x2a3b50ed,
+    0xc145b144, 0x2840c7c7, 0x980902b4, 0xdb93b74c, 0x250d9cfd, 0xed5da203, 0x9d9dc8be, 0xc3fc2615,
+    0x1a78900c, 0x103bddff, 0xc4ea9904, 0x72114c46, 0xd186a31c, 0x2b626613, 0x6949f094, 0xa94b518f,
+    0x9f9776d1, 0xad2eb2e3, 0xb40639e2, 0x6a214ef4, 0x22453c6a, 0xcdd4d8cb, 0x9f8523db, 0xa3abaca4,
+    0x1fedf863, 0x8888b3c3, 0xb263a489, 0xff9a13f6, 0x5b0f1fb0, 0x03f2fa4e, 0x98733f26, 0xa3e8b0a9,
+    0xc361e340, 0x58a5e88b, 0x7b05ff43, 0x9624b8ca, 0x079b329c, 0x24d7da9c, 0x90a7b588, 0x3132791f,
+    0x34616805, 0x5416e301, 0xc29e1d2f, 0x7d52fff3, 0x313e4c00, 0x2134fe25, 0xb501693e, 0x1c8071f6,
+    0x17a21acc, 0x8099bbbc, 0x17a3580d, 0x2f766570, 0x4e6b484c, 0x7b3e6fb4, 0xa173f1e8, 0x00c585c6,
+    0xdbd7553a, 0xc7003bcb, 0x742fe713, 0xbd9e7adb, 0xda526fd3, 0xf691055a, 0xfd0b8c39, 0xe6820c30,
+    0xeca9f089, 0xa812ec9e, 0x4c32af26, 0x6b73968f, 0xbbadfeed, 0x0b338e48, 0x7659dc75, 0x0212440f,
+    0x6faced85, 0x60f45045, 0x88ccd609, 0x371c5c82, 0x01ecab72, 0x7318e6bd, 0xede874a1, 0xdfb58ac1,
+    0x45e38a31, 0x8306bf84, 0x45d75e84, 0x4bec4cab, 0x7ca49729, 0x3740029b, 0x7e30a2ec, 0xf775b1aa,
+    0xd020de72, 0x73eec661, 0x60563974, 0x962c5d18, 0x4ab25e0f, 0xf2dfaec8, 0x002c22aa, 0xc69231fa,
+    0xc42f1988, 0x302db8d4, 0xffa7cd2a, 0x08004b04, 0x15e8ad2b, 0x27c1609c, 0x726d24a7, 0x1bb4955a,
+    0x5b3467b1, 0x57a47946, 0x8e0572ca, 0x3ab552b7, 0x7b0a3687, 0x8a09eea6, 0x0dcdf004, 0x6cc2cd1e,
+    0x100a76e1, 0x9bdeb28a, 0xd049c76d, 0x12f0e224, 0x897c0cf6, 0xb97a189b, 0xc8bcfdfe, 0xd43d4a28,
+    0x8cd9a976, 0xd53202b1, 0x6ca2515f, 0x44900730, 0x4368383d, 0xb9a129ea, 0x9811c882, 0x5a6d41c1,
+    0xd4a799b0, 0xf63d07af, 0x0bae81a8, 0x90a545b2, 0xc252a601, 0x4a472742, 0x0037ad51, 0xf9d4e713,
+    0xaa35c7b5, 0x53438c2d, 0xb47eeff0, 0xa029a518, 0xee5fd89d, 0xaa38e473, 0x1f03d4ce, 0x38a56942,
+    0x51d347e2, 0xb4c17070, 0xefa3b5f5, 0xaaa7df75, 0x0239c369, 0xcfa0fcda, 0x9acb5db5, 0x7f12405e,
+    0xabdeb11a, 0xec0b70a0, 0xe6ce7f8e, 0xc99bbbb5, 0xf1548b3f, 0x8b9ca448, 0x0aa1c771, 0xb991472e,
+    0x3330f105, 0x0bfc3f8b, 0x7536de17, 0x0d900749, 0x704ec01c, 0x4d69ae7f, 0xb3d99902, 0x16267fc6,
+    0xf7cccbcd, 0x3c8160e3, 0x0f2bc49e, 0x3622a232, 0x5ab2bb42, 0x9d834c26, 0x6f73c040, 0xe64d2d5f,
+    0x98d4cf4f, 0x86991e1c, 0x0a09b333, 0x25c0c76a, 0x7ac9555a, 0x96306a20, 0xd34fdc07, 0xdee9df68,
+    0xc6a4b299, 0x085d6ede, 0xbe59ac3e, 0xc55f7456, 0x47a5c83f, 0xd284833a, 0xeec028c1, 0x4ddd7da4,
+    0xd10c7a74, 0x7b060750, 0x47efc679, 0x76bb495a, 0x7ecca013, 0x35d1d95f, 0x938b2b73, 0x3d03666a,
+    0x788a2b55, 0x08cbff14, 0xae2cd33f, 0xd70535ca, 0x3b440ed7, 0x0a6f68de, 0x51fd2c62, 0x62eb5e9b,
+    0xb7212448, 0xa3278d96, 0x9740f8a8, 0x4dcf042b, 0xd44785c0, 0x5f3385c0, 0xb510ac6f, 0xc0f0891a,
+    0x72b56494, 0x8548f723, 0xfb371119, 0x360c9b38, 0x6599af19, 0x6c66040b, 0x13d95756, 0xa4c3458c,
+    0x496c226e, 0x49d46fb2, 0xafe5c7c2, 0xbf4f908a, 0x9849e4f9, 0x6720412e, 0x133ae0fc, 0x6e3b1f87,
+    0x5f195bfe, 0x04646c4a, 0xeb9ef786, 0x9441ce3c, 0x33ea9abc, 0xe50353a0, 0xc710c82b, 0x2e183088,
+    0xebcbf6b6, 0x88da8f43, 0x0ad77c1b, 0xff2b65f7, 0x652df0f3, 0x1ea63122, 0x4d248f94, 0x2900e9d6,
+    0x91f86b35, 0x925c964b, 0x1bfd2994, 0x47a76ae3, 0x12054ad5, 0xdc2f24f6, 0x6ddecf63, 0x329b60f8,
+    0xbb28980b, 0x13c25296, 0x3dd8e2e9, 0xe50bfaea, 0x9b9ae6ed, 0x8f90988e, 0x4783ad15, 0xc87ca8b3,
+    0x7b4c4b97, 0x65c63e8e, 0x8630c41b, 0x7f165b95, 0x2e6de41e, 0x14f422a2, 0x4086ab40, 0xfd8f6e98,
+    0xb5a552e6, 0x209ea180, 0x63ad35b6, 0xbc9b0cbe, 0x72488c6c, 0xf60626a6, 0x33e47f50, 0xd381c7e7,
+    0x6839e703, 0xf1d6e73c, 0xe5f191b6, 0xc6734682, 0xb4509c32, 0x9abaa225, 0xd1723f13, 0xad69c295,
+    0x59adfc12, 0xc3aef2bc, 0xca0d034b, 0xcc16f685, 0xfa7ff9a7, 0x594fb894, 0x72337746, 0x59624e60,
+    0x7ca00341, 0x4eb85f9e, 0x0afcdd0f, 0xa3fa9c24, 0xafd79552, 0xec876a9f, 0x3cdc1274, 0x56e2e94c,
+    0x7ed9772f, 0x24a2e78d, 0x708afbad, 0x48a65dd3, 0x6708f6f2, 0x0063f63f, 0x4cf2539d, 0xaffaa6bc,
+    0x80b67571, 0x4a24b4e9, 0x17f67cb1, 0x1013f70a, 0x4ad3e4e0, 0x279cf09d, 0x65d1bcf4, 0xfed7c8b3,
+    0x180cd54d, 0x5f974dd2, 0x3d9748c9, 0x51b7a4da, 0x7e6e5a88, 0xc23ed32c, 0x2a4272bf, 0x3d544bc1,
+    0xf088e0d5, 0xd980efab, 0xc81c761f, 0xad320a30, 0x2a00b4e7, 0xa68e9d7f, 0x2f7e375d, 0x0feab4fd,
+    0x30522eed, 0x0ab139d0, 0xc7da548e, 0x43d94ab6, 0x4541bee4, 0xdf18ed9c, 0x088a64e0, 0xe28d9fdb,
+    0xf3f4f55a, 0xbb6d15bc, 0x932e3538, 0x505f5f6f, 0x5c3a3529, 0xbbd7e68e, 0x18c72ffa, 0xd4c1dc7c,
+    0xd21b35ee, 0x41ebe171, 0x5e2d5e4d, 0x4a1695c2, 0x3aeaf669, 0x53267fa2, 0x952591da, 0xa3b44aed,
+    0x4d8049b3, 0x6cc5c3ae, 0xec934b7b, 0x951d0fa7, 0xc6fc8bc2, 0x769b1692, 0xa0d01adc, 0xc643faa7,
+    0xa27c396b, 0x6303c827, 0x29cc1a42, 0x38a94486, 0x1ee4cf9e, 0x4de53d5e, 0x34dc097d, 0x388edffe,
+    0x7775ecad, 0x5dbf03b6, 0x66665c41, 0x00aa4132, 0xc81d6f2c, 0xbd9547dc, 0xeb8e314e, 0x6918ddc9,
+    0xab76476a, 0xc9f8d07c, 0x89ec7259, 0x5f7e87e5, 0x9a6acfdc, 0x14da717a, 0x7d288702, 0x6ea05aa0,
+    0x7f45f214, 0x6154f45a, 0xe6ff3c63, 0x5546341f, 0x919928d4, 0x7f57d011, 0x6cb980b8, 0x93bb327a,
+    0x97453831, 0x4fce4884, 0xa5b4d30a, 0x311b14b2, 0xbe3fd92d, 0xf345bfc1, 0x000cf4bf, 0xd69a0c81,
+    0xe7a25aab, 0xbf77f9a0, 0xdb1ce433, 0x4c8f922f, 0xa34bdb22, 0x18ad81d8, 0x5200764a, 0x72d4558e,
+    0x06fd4bf6, 0x401e87d2, 0x4ad68496, 0xc607564e, 0x1b20f14b, 0x61cb4cac, 0xaa077ade, 0xf0348d0d,
+    0x66bf69ae, 0x35efc4b4, 0x7ad1fb9d, 0x3a666609, 0x97d69f3a, 0x18e260c5, 0x2bfe8e5e, 0x4ef101fb,
+    0x15b53885, 0xc1e4930f, 0x74af392b, 0x8efe19d3, 0xfebbf576, 0x45f2bf7b, 0x8a77dfd5, 0xd1488202,
+    0x276f5cd0, 0xb7e7f15c, 0x08dd1872, 0xa0d8b6f2, 0x987adbf4, 0x57bb62cf, 0x3847c9c8, 0xabe847a3,
+    0x53ba839f, 0x10323583, 0xbb5eb978, 0xe6ab8a09, 0x24ed9bc9, 0xb8a186de, 0x3303956f, 0xf6adc052,
+    0x6bdfba73, 0x1e2b3089, 0x8a1880a2, 0x56920c29, 0xfa6c4d34, 0x9949aff0, 0xf7ff33de, 0xc5ceac29,
+    0xb6894815, 0x71d53b43, 0x5c8039d9, 0x1293d2c9, 0x35824260, 0xac2e52b8, 0xc4bd6f59, 0x0e74ee25,
+    0xee8aab3a, 0xbb2b1969, 0x047bef3d, 0x2a826eb6, 0xacc5d586, 0xbccfc50d, 0x0dbf75a7, 0xe8c971bd,
+    0xebe257bc, 0xc792e9d9, 0x096057f8, 0x04b7e719, 0xb31584ca, 0xfb48d3ad, 0xb360a0e0, 0x9715747f,
+    0xfadd2c40, 0x2050e4fe, 0x7d6f8b35, 0x517ad88e, 0x3d874930, 0x4b5e4eba, 0xeb5e6ed7, 0xa8111b4d,
+    0x0707c637, 0xe84772fd, 0xc711d0f2, 0xd955e576, 0x170a6ba1, 0x033e91dd, 0xa3aad0cd, 0x62c23a88,
+    0x30ac2b01, 0x135a0e62, 0xd5f67161, 0xf057aa1e, 0x62f428fd, 0x428790a6, 0x60bc7d50, 0x745028a4,
+    0xb9521580, 0x418df9f7, 0x04483d96, 0x68ea1e72, 0x5cfeba71, 0x91f72aee, 0xf05fba54, 0xe647f05d,
+    0x7efa7f0d, 0x286fc917, 0x26b7b64d, 0x76dd8078, 0x30ddea7b, 0xcd86cec2, 0x15805745, 0x8dc9e69c,
+    0x2a214af9, 0xb07bba3b, 0x5e71ca3e, 0x80360044, 0xb32e4ab2, 0xf4f23394, 0x56591f36, 0x6589c90c,
+    0x23784eb8, 0x79469f63, 0xaea0d612, 0x304d57b1, 0x4eaf7eb0, 0xb081dc23, 0xf3367fa0, 0x15cbb700,
+    0xea738220, 0xdd3147aa, 0xba1f24f1, 0xe6b64868, 0xf294a444, 0x536dcf9a, 0xd324d832, 0x94755db5,
+    0x13767cfc, 0x16b27114, 0x8a4d2b62, 0xe2296dea, 0x117ed747, 0x6c8f5c05, 0x49c531e5, 0xa259964b,
+    0x072fa91a, 0x6d3bed6f, 0xee51e4cf, 0xf6a4b882, 0x02fc523b, 0x5a959f62, 0xcb8b5065, 0xaa022765,
+    0x50643334, 0x1fbf7773, 0xeb65849b, 0x03f85982, 0x3f54a61d, 0xf08b89b2, 0x417a6032, 0xec570605,
+    0x5a34b1aa, 0x09ba7072, 0x44049b57, 0xc7957f78, 0x9c0f6b71, 0x1f97096c, 0x66e8aa74, 0x915a17c1,
+    0x0676742b, 0xb2d5ff15, 0x889c6359, 0x78805446, 0xf288ad78, 0xbaf57c0c, 0xa72ab65e, 0xc5d0c283,
+    0xad98275e, 0x4127e4f5, 0xad8a5173, 0x12764fd5, 0xa5338fbd, 0xeddb97f7, 0x0d97813a, 0x5a1a9a5d,
+    0xec4222a6, 0x6c7482a4, 0xd45a09da, 0x4922aa5b, 0xa54697d2, 0x4754e8bb, 0x113842fb, 0xea9a4a4d,
+    0xecf708f9, 0x2c0039d0, 0x3c529a46, 0xa4505b39, 0x34153930, 0x0defdd98, 0x3fc886f9, 0x8c9e0c2f,
+    0x76bbfe78, 0x7ca3406f, 0x78551798, 0x90e8737a, 0xbfad0f40, 0x7a0946f7, 0xbcfcb44f, 0xb1966666,
+    0x3b123b7c, 0xbd5d4473, 0x16f33ba7, 0xd41be069, 0xfbaec7bf, 0xe30a8a95, 0xcbe1f309, 0x2568a370,
+    0xf72143ac, 0xfd4d2072, 0xe8ddb947, 0x0e779069, 0x91d96061, 0xacfeac07, 0x91c86b86, 0x8b008d84,
+    0x3756e92a, 0xf4b549ab, 0xf67b2208, 0xaa553379, 0xc04c94df, 0x5b9ac983, 0xf9e142d2, 0xd116d21a,
+    0x96a0a67d, 0xafd7d8a3, 0x911b331c, 0x344e2e22, 0x584e42ca, 0x3ed0210a, 0x5542f2ae, 0xa390c13f,
+    0xfcceedbf, 0x6856fa6b, 0x2253f3b0, 0x56ebd3ed, 0x80b79ea5, 0x623ba164, 0x64db3eff, 0xf9af61b3,
+    0x06fbeb59, 0x92826beb, 0x4c46ffce, 0xfd09d8aa, 0x60cef4e0, 0xc3da60aa, 0x71027fb5, 0xe0d58eef,
+    0x0c07dbde, 0x96c5f1c4, 0x082bebea, 0xda069b72, 0xe8f360b7, 0x71a8ef17, 0x04db48f4, 0x55e64547,
+    0x785025e9, 0xb024acf0, 0x0d62e8ec, 0x86715945, 0x2a1870e2, 0x12d35bb4, 0x312bc6d4, 0x466ac0d2,
+    0xfd2f473d, 0x5689dafe, 0xc12fbe4f, 0x3a5126c4, 0xe896dead, 0xf0becc2e, 0x570397a8, 0xa24cad30,
+    0xe350218d, 0xe208f806, 0x6e0cc643, 0x0fe57189, 0x2d1eac09, 0x30f12b14, 0x9202ce08, 0x0df983d6,
+    0x7b0e51a2, 0xd09b911b, 0xfba6268f, 0xc8ce7b82, 0xbecb0686, 0x9f6a7950, 0x572332ec, 0x92adcb92,
+    0x4c8f789e, 0x9ea1715d, 0x58f361fa, 0x98ae7bd3, 0x75118348, 0x3967e535, 0x4ac6f932, 0x1f00445a,
+    0x3537a0b7, 0xe5a402c0, 0x23ab219f, 0x6d60eca2, 0x26f1dffd, 0x3f224500, 0x12efc83b, 0xb08e53dc,
+    0x9d180e4d, 0x7c88479c, 0xe62fb041, 0x7388d8fd, 0xbed9562e, 0x71f2506a, 0x58a19586, 0xb1c658b7,
+    0x893f0ecb, 0x0ee45800, 0x806db1d3, 0x20db8073, 0x88da9195, 0x7f4da314, 0x8df57760, 0x5a8ddc9a,
+    0x9ad004c7, 0x461695c0, 0xd3c20b11, 0x84b59cae, 0x5173c510, 0x8d30ecd9, 0x975b2552, 0x6685b3b4,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000001329227995784915872903807060280344576 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ed, 0xfe9b5fb5,
+    0x00000000,
+    0xc21043aa, 0xfb6e30e1, 0xfb8a7f91, 0xa5a24b31, 0xe60f3d87, 0x9f8c4899, 0x953e8f34, 0xf3d9ee0b,
+    0x76403f0c, 0xeed298fb, 0xe023b80f, 0x45b41d12, 0x20ccdf8c, 0x71ed25dc, 0x0f7d7d27, 0xe657b863,
+    0x4365f739, 0x9c26f4a8, 0xf9c3bb12, 0xc061ecfb, 0x56272668, 0x9a2466ac, 0x283e353d, 0x81595f17,
+    0xdaf4daad, 0x0342f909, 0x2ed60fec, 0xcf2ae89c, 0x1898bcda, 0x8ce1ef6e, 0x0b07cb96, 0x12848afd,
+    0x28101e11, 0x3dcf95d7, 0x08326fd0, 0xdebb8978, 0x60c92bbf, 0x8f452737, 0x76a0d3d0, 0x7bbe79c9,
+    0x0f5369bd, 0x77dd5178, 0x15fbf9ca, 0x1dfd17a5, 0x4aaa0e9a, 0xc816d8a5, 0x3ce6edd3, 0x6637d772,
+    0xc8fcd96b, 0xd751c287, 0x9a430909, 0x85166dea, 0x11959afa, 0xa5993781, 0xf576ef53, 0xa2c5865d,
+    0xd3d710a8, 0x67d8d41b, 0xa2dc18f5, 0xe4cb4b78, 0x6a400e9d, 0x99b60203, 0x4295ef9c, 0x5f251be0,
+    0xdb6534f7, 0x293663b3, 0x3be7edf0, 0x9c29e15a, 0xf89cac93, 0xc3b17993, 0x67f2b1da, 0x5d0fb565,
+    0x0d643ecb, 0x292ae635, 0x0697c600, 0xf28f23be, 0x6c1d466a, 0xd56616a5, 0xdb9791a6, 0xa63b4eb9,
+    0x3d652ad4, 0xab7261e8, 0xcef2594f, 0x831b33f5, 0x2657163e, 0x814003c6, 0x2bf1e3d4, 0x17c31493,
+    0x9a45db87, 0x8420ed19, 0x484825bd, 0x323d47d7, 0xcef97b87, 0x7af0f071, 0xc0d940db, 0x0804f7c4,
+    0xbb165e5d, 0x37db6bff, 0xd8451b36, 0xd6415733, 0xa7a3095d, 0xb532a6d1, 0xa9af439c, 0x3d320e9e,
+    0xf9dbe46d, 0xe21981d7, 0xc2f8185b, 0x78f6f722, 0xe22ff0b5, 0xa442a503, 0x397f53b2, 0x8b4fb80d,
+    0xe7dad103, 0x4a4f217b, 0x4f0b91e4, 0x7a83d277, 0xd8993ce7, 0x2b309320, 0x9832176b, 0xcc03f2f4,
+    0xa84ec8de, 0x1fc1d0a5, 0x182bb5b8, 0xcbc12d6f, 0xac80f2cd, 0x56bc0257, 0x7ac263f1, 0xefa4790b,
+    0x23ce0b42, 0x58ae3642, 0xad6fab65, 0xedf010a3, 0x3527ac55, 0xead8370e, 0xb1743571, 0xfca893bb,
+    0x91f5d472, 0xbcb4b947, 0xf9c93ab9, 0xf924b5a4, 0x6e07c9a0, 0x650e735d, 0x79e25830, 0xdb3382e6,
+    0xb716b415, 0xcb175478, 0xe813e915, 0x792ce266, 0xf77be790, 0x8f908fc8, 0x0ec52059, 0x762a1cb2,
+    0x4d29b08e, 0xd2ef772c, 0x643e2979, 0x8037150b, 0xe50be8a2, 0x241ad989, 0xf36a8b6d, 0x5a86ef4a,
+    0x2d37554e, 0x98bdba1b, 0xc20431db, 0x64624218, 0xb7ed2ce2, 0xf37c63fa, 0x3658610f, 0x77654d21,
+    0x610bce14, 0xe6a464c2, 0xd9c534f4, 0xd2da4845, 0xeaa06fb3, 0x7a459cc4, 0x1947e965, 0xcdb9ecab,
+    0x96b867fd, 0xc9bc5cba, 0x549ff44d, 0x97252e21, 0xfeb7c667, 0x9435aeee, 0x466f32b8, 0x36fb8ef4,
+    0x6639db3c, 0x78142a3d, 0x5577dd5f, 0x8b14af22, 0xc852edd3, 0x4c450aba, 0xfb78b05c, 0xc8174571,
+    0x9be2fdf2, 0xcc7ca456, 0xa9d170bc, 0x0d5f1d77, 0x267cddc6, 0x41195645, 0xa96f2d0d, 0xd6088312,
+    0x8afdf187, 0x1635c56d, 0xa174aff9, 0xbb17ff75, 0xfc918bbf, 0x35e2893b, 0x1e288d89, 0xf71c886d,
+    0xa265ee51, 0xe7479f82, 0x083816e3, 0x6641edbe, 0x5fbfc22d, 0xd1adb1bf, 0x67c51796, 0x3282bab0,
+    0x6a5a9d9a, 0x2de2fa62, 0x632bd74a, 0x80801f8b, 0x91f8859f, 0x6e2be949, 0x7a56b43c, 0x5fdb827c,
+    0x6423a74d, 0x13a19007, 0x7078d9b2, 0xa33231b1, 0x72572899, 0x41c7ab8d, 0xcc8ab560, 0x815711de,
+    0xd7b2269e, 0x44d76dc9, 0x74b553fb, 0xdaafcff4, 0x7575f21f, 0x4f3c49d4, 0xbf64fb81, 0x54cd4d85,
+    0xe755051c, 0x86a64bd8, 0xcc8e2ad0, 0xb5d5be8a, 0xa3083643, 0xd62b654c, 0x18654545, 0x6c1e6379,
+    0xdb0bc6a1, 0x5b2b503f, 0x9bb34991, 0x58838e75, 0xae64c52f, 0xc581cbe4, 0x18d0b3d2, 0xee492175,
+    0x7a202e6d, 0x5c665241, 0x0e69ed4c, 0x8b172324, 0xfd0442f6, 0xd0d6d8ff, 0x25d295be, 0xed676c2a,
+    0xa0c0f44d, 0x874000b0, 0x86b7d6f2, 0x5f1034e7, 0x6e96300e, 0xf317335d, 0x491e8fe9, 0xd521f7da,
+    0xf270e169, 0x855a0ac9, 0xaa429e40, 0x6feeef55, 0x2cdb706c, 0x2366a76a, 0x4ea885a9, 0x11a79299,
+    0x66dd7440, 0xe910b54a, 0x3659a351, 0x5cbf01a3, 0x93c08dde, 0x7d1ad175, 0x5274c5ea, 0x5d2adcb4,
+    0x148c1ee3, 0x49d66cd1, 0x7ab40ba7, 0x5b7c6f87, 0x1fa35373, 0x633cba20, 0x9a162015, 0x127879bb,
+    0xc3756d1c, 0x063f3fda, 0x336c95f8, 0xb71ad06d, 0xe43396d9, 0xbcf80be1, 0x15424aa4, 0xf61d14e9,
+    0x2e691bc6, 0x549e3047, 0x1213b6ca, 0x94110653, 0x634750bd, 0x7dc19ec0, 0xd63eb468, 0x7cece1a6,
+    0x6b1b8e53, 0x0cf46583, 0x6ed8f9d5, 0x15990ad9, 0x6794f6d3, 0x364cac3c, 0xecf38ddd, 0x364e2563,
+    0x002068c0, 0xf7a6c1fe, 0xabb92711, 0x22ea55ed, 0xe146c8b2, 0x0ec6d7ad, 0x6d7a418d, 0x1014bee5,
+    0x5ebf452e, 0xea76caa8, 0xb6704ec4, 0x060517d0, 0x60de1d35, 0x8200bba5, 0xcdfcfdc6, 0x7d018b69,
+    0x93e5a7d7, 0x3a20121b, 0x5f8f328f, 0xd9593dff, 0x18c8e591, 0xc5080db4, 0x62a60fb6, 0x5d8cb5e4,
+    0x84c36dfe, 0x1dd4f243, 0x9c20be9e, 0x6cee5784, 0xafae72a1, 0xfb3aa776, 0xf6fe3d6d, 0x24cc2332,
+    0x7e7d9957, 0x8d5a261a, 0xa226e4e9, 0x00a1bd8e, 0x826d9ec3, 0x3ab27320, 0x4162c735, 0x5d6e8ec5,
+    0x4047bbfd, 0x6230e4ed, 0x07dc8674, 0x6e35b731, 0x130eb500, 0x7dc2f8ef, 0x05047f17, 0x7014b4fe,
+    0x347b75e2, 0x0b51a647, 0x6201f691, 0x409ed71c, 0xc779f7aa, 0x36d459fd, 0x2619d383, 0x766582d0,
+    0x6b658d62, 0x47911fd6, 0x3747ffce, 0x37723f59, 0xd7e6bde4, 0x208253d1, 0x6dd60dc9, 0x9b430a9d,
+    0xb85e6afc, 0x65ba015c, 0x98a1331d, 0x03f16141, 0x10ef91e2, 0x4ad65d37, 0x172fe0e9, 0x9ec3cb3e,
+    0x65f1dea6, 0xe50785ef, 0x97add911, 0x31e8d79f, 0x4f562148, 0x360c53d4, 0xc285ff36, 0xbfb42e3c,
+    0xf74deb40, 0xc3822547, 0xb3c83c6a, 0xd9193dd7, 0xfae60151, 0xfd77de6b, 0xdc12050c, 0x3e8f2040,
+    0x265897f1, 0x6135ea99, 0x8cbfdc35, 0x55769cc5, 0x0e29e470, 0x90696716, 0xdb4f2fff, 0xafc6c2d1,
+    0x52a8b1aa, 0xc38c65bb, 0xf2c52ba1, 0x154ecfe3, 0x9372d226, 0x57fa1def, 0x965a7d58, 0x80535e66,
+    0x302ff195, 0x8412d97e, 0x4215c6c7, 0xbb67ba13, 0x4fd3243d, 0xee792a69, 0x8059715e, 0x138a8cc4,
+    0x37227fd6, 0x01ddfb85, 0x1733dcdd, 0x72471846, 0xe2393ab1, 0xe4ec1c9d, 0xef215a66, 0x0d3ae385,
+    0x1695e608, 0xd02de358, 0xaba333ef, 0x872afe99, 0x2cb388ae, 0x7dedaae6, 0xbc6b671a, 0xb251d1b2,
+    0x0efec3ce, 0x1482a98e, 0x65e01cd4, 0xa948368e, 0xcc98f5aa, 0x0da76c80, 0xf07a405f, 0x915ea0ae,
+    0x0dd643d0, 0xe9687cfd, 0x74d7d12b, 0x9131a2b0, 0x402109ae, 0x2cef01db, 0xcf3c190b, 0x1cd4f3ab,
+    0xa778b536, 0xf194b4f3, 0x16c015a7, 0x3febdab5, 0x5a7e7acd, 0xb118bd7c, 0x95a2f762, 0x9130b8c7,
+    0xd2dd6d3f, 0x4149b556, 0x49fa24bf, 0x5e16b38c, 0x20a320b9, 0x186ce5ad, 0xddd208c7, 0x91778fef,
+    0x0ba4dacc, 0x55a2acaf, 0x434ca1d9, 0xb1a97f71, 0xb3729abf, 0x0f0b325e, 0x775d7497, 0x1128d1dd,
+    0x2eac78b9, 0x9fda05ca, 0xeb4a12f4, 0xabbed978, 0x50d4ddba, 0x39d39d65, 0x861f66fa, 0x8fb9b27c,
+    0x5de67459, 0x72bb3747, 0x5942edb5, 0xcb69d0b6, 0xf3ca65f5, 0xa3bd8175, 0xe8292727, 0x15d3efe4,
+    0xcc1b17ea, 0xbfc55616, 0x5b64824e, 0xc8ae9d6e, 0xaa49050b, 0x0eefa479, 0x49461128, 0x7c811f1c,
+    0x0a4dc5db, 0x441fe3ff, 0x70b2e2a5, 0x6a5a3b1c, 0x8f7bd821, 0xd1e87600, 0xdab7a131, 0xefd0bf8f,
+    0x3ea550c6, 0xa23aa145, 0xebfec6de, 0xb3b60764, 0x61f763a8, 0x9354c613, 0xba884412, 0x0ae3a291,
+    0xc0978687, 0x155eb7fb, 0x86aeadf4, 0x384bbdbe, 0x9684205b, 0xe3d062d6, 0x92914c02, 0x5720d785,
+    0x9fd82bf0, 0x921badbd, 0x9ebee2de, 0xac082621, 0xe651c228, 0x1cf69a5e, 0xd4996799, 0xa445af85,
+    0x543d11ce, 0x8e38e7a3, 0x74f94231, 0xc6384002, 0xce4fc857, 0xed77f379, 0x1bcd6ddd, 0x91d7ecc3,
+    0xb903f593, 0xeaf7b1aa, 0x23551641, 0x0a287082, 0x482d023a, 0xeb57fc55, 0xc9f120f8, 0xc3d00455,
+    0x15a0c237, 0x5809e1ca, 0x9e412f5f, 0x16db7e37, 0xecf57b18, 0xcd1ae677, 0x6d367365, 0x976db3da,
+    0xa456b989, 0xc23614eb, 0xcaf01224, 0x87a81325, 0x1ec924ab, 0x7036da1a, 0xc7d14ffe, 0xa5f3cebc,
+    0x6febf10f, 0x3d614a2c, 0xeaea6980, 0x661ccab4, 0xd6ae30ac, 0x9cc33b2a, 0x81e50b4b, 0xd29c2f45,
+    0x2c043861, 0x671bbf24, 0xce553a24, 0x709a18c4, 0xd6ffa605, 0xc393f2f1, 0xa952a1d7, 0x18864183,
+    0x57c4aefa, 0xb524da84, 0xdd5d79c5, 0x55cf41f7, 0xeb911157, 0xa14148c7, 0xdb140452, 0x39539056,
+    0xa0b20406, 0x75d9573b, 0xa6aefe36, 0xca8ed5e3, 0xe630fc7f, 0x108a375e, 0x73b2c93d, 0xceee6122,
+    0xb5b3ccce, 0x44844332, 0x7353e1ca, 0x548a9455, 0x03e93be0, 0xbe0555f5, 0x222265fc, 0x7fcff6ee,
+    0xf870e31d, 0xa928b096, 0x3c90a0f7, 0x47325c60, 0x66111681, 0x3364856a, 0xa2e0921f, 0xa1644370,
+    0x62821981, 0x8170ea96, 0x64326be9, 0x9f9b691b, 0xbcb08005, 0xaf7ff547, 0xc9bb8af7, 0xdf53874d,
+    0xb88d6be9, 0x62ed21f9, 0x6f24d0dd, 0xc6a59531, 0x5ba387ce, 0xecd999a0, 0xe37b4cd3, 0x4b827072,
+    0xcea30b7f, 0x8f3e8dba, 0x433e16c9, 0x2a3ca3c2, 0x2bb61066, 0x1098041e, 0xc14c97e6, 0x5ef59f51,
+    0xd64cd139, 0x33ebc9c6, 0x80eac1f9, 0x2eeda723, 0xa896497e, 0x9083e66c, 0xdee03aa4, 0x2f68b3c7,
+    0x60356cd5, 0xe7a24f7c, 0x43367792, 0x83229808, 0x03577f73, 0x3d91504d, 0x5efd253c, 0xd3cdc67b,
+    0xd3e0cc1c, 0x2863bb84, 0x67e12aa2, 0xb6aa97db, 0x312e83ab, 0x59f8ebae, 0x7d988789, 0x9ed05cf5,
+    0xd3c2a3a3, 0x8fc4290f, 0xe048136c, 0xca43544d, 0x1f8c5a04, 0x98137ace, 0x0f1e35d4, 0x5505c302,
+    0xe172c65f, 0x9e7eda63, 0x5cb52103, 0x4c3f4b82, 0x5b12179f, 0x30653af6, 0x1fedcf79, 0x436801e0,
+    0x262946b5, 0xf529a0d2, 0xac16f05d, 0x86a62d6b, 0xb85647ca, 0xc8de5c48, 0x32e56606, 0xb26e4125,
+    0x15ea8a1e, 0xf8f37b46, 0x02300fde, 0xe73b9cd8, 0x7d4fdd9f, 0xa4e5f588, 0x736cc1f7, 0xc4966316,
+    0xa1d47163, 0xfdfd534e, 0xe7db64dc, 0x204e3277, 0x0736f616, 0xcc1cab2b, 0xc91c8974, 0xfbffc4b7,
+    0xf05a05cb, 0x4a39a998, 0x047ca62f, 0x2df25a55, 0xf3d014b5, 0xd72a63cd, 0x1df93d67, 0xf5ca073d,
+    0x2ba0b35b, 0xd655116a, 0xe41fa59c, 0x3b8c1390, 0xddaea4b6, 0x493c853d, 0x721d79c5, 0x386c7aec,
+    0xdbd72369, 0x96614827, 0x01afd7ab, 0x27dd0c76, 0x55e3784e, 0xcb4b5bf7, 0x89ff0ac5, 0x0152d7cc,
+    0x896bfbb8, 0x7c08cb9e, 0x9e995569, 0xcd3bbbdf, 0x1db5f50a, 0x9018050c, 0xae1f32b1, 0x7e39ebb1,
+    0x63631e34, 0x1a9e5dd8, 0xad1d524a, 0x65ac49f5, 0xac0d11f7, 0x59cd1ffa, 0xe844cdcf, 0x8b6b1289,
+    0xd396941a, 0xd277cdae, 0xca879264, 0x2facecbc, 0xa2ed4b0b, 0x48c09040, 0x0bab8cb7, 0x89e02925,
+    0x9277e9d2, 0xb35d9885, 0x36e326a6, 0xb8df4bf5, 0x53c6b3ba, 0x0f81bcbe, 0xbf1bc080, 0x461f5943,
+    0xeb01342e, 0x42ce7e91, 0xb84ad421, 0xf110d580, 0x4241ac42, 0xa68dfc48, 0x13928e2e, 0xd9912a67,
+    0xbd08905f, 0x7b290f14, 0x79acf779, 0x1f4a32ec, 0x1dcd1fcc, 0xc2e7c010, 0x05498511, 0x4fffc1c0,
+    0x186204e3, 0x6cfe1c07, 0xfdcbb132, 0xa68913c9, 0xc346ec12, 0xb2bd88ed, 0x0e87afd2, 0x6a4c9483,
+    0x1f6aaeeb, 0xb5eb194c, 0x11df8ba6, 0xc8228717, 0x976a3a73, 0x142bd84a, 0x1e431904, 0x58d2133f,
+    0x18162bd5, 0x8b25ede4, 0xcd528fdd, 0x2bc30de9, 0xb64cd9f4, 0xd9e3a10e, 0xd970427f, 0xadb0bb88,
+    0x857bafad, 0x1a95a2b6, 0x17181040, 0x05371c36, 0xacc5dde0, 0x093e78c6, 0x9e020fd1, 0x3297975d,
+    0xf832266d, 0xcaf544d1, 0xbeadf9da, 0x8880cd40, 0xd2da1b2d, 0xd43be8c5, 0xbcd5dbd8, 0xf7532580,
+    0x342fbfdd, 0x5867492c, 0x5a388daa, 0xb27d0f04, 0x13a8e455, 0x7c17395e, 0x18ade06d, 0xb32d6d13,
+    0xc25b06ba, 0xb3bf2c44, 0x57faa9b3, 0x345a0cfc, 0xb8ad227b, 0x40bd90a4, 0x2e0f8af8, 0xe95d7aaf,
+    0xc7bf5e40, 0x3d23b07a, 0xe60b74dc, 0xfeea8360, 0x1fae8506, 0x89926014, 0x36d9a4d7, 0x7fdf210f,
+    0x22eef650, 0xbbc0a957, 0x92fef334, 0xb1bfc4be, 0x329c48f1, 0x7fc7c164, 0x4079f8ab, 0xf02d3f84,
+    0x2fd312a6, 0xe7c06ea0, 0x216dd15c, 0xa974123e, 0xd01480b3, 0xc76041d8, 0xcab49b7b, 0x3f706e70,
+    0xda14aa72, 0xe272ace6, 0x88ce4ef0, 0x7cba31c6, 0x328bafba, 0x782e44f3, 0x82a70a34, 0xaec9a86b,
+    0x40b594fc, 0x5abe814f, 0x061a3af5, 0xc056244f, 0xa64e36f0, 0x60aa3def, 0x2768650e, 0xcac981af,
+    0x7df92727, 0xbf3a37b0, 0x5242d280, 0x680b95b1, 0x64708ca5, 0x48bff778, 0xae56634b, 0xb9f462a4,
+    0x387f3397, 0xabfdb298, 0x6e55b107, 0x9d54a84e, 0x2e7200a5, 0xa44cc20a, 0xa6857b4c, 0xea5bb7aa,
+    0x37ed1c8b, 0x69faaedb, 0xcdc0c6fb, 0x4d1cf759, 0xa539698b, 0xa60703ea, 0xc59c480c, 0x12110289,
+    0xc3107bc9, 0x5b6a389b, 0x6b1d5d5f, 0x5b2d8651, 0x7a4fa8cf, 0x76231e9a, 0x3a9e3cd1, 0xde41a3cf,
+    0x2418f603, 0x345e29b2, 0x48fff2c8, 0x51974265, 0x615c85ca, 0x3557027c, 0xc5686e93, 0x0ebbffee,
+    0x684bc44c, 0x40c077b5, 0xf332850c, 0x7046afe1, 0xb0d94669, 0x51476896, 0x88940408, 0x87f96e18,
+    0x5387d3f4, 0xc2e9d5d9, 0x205d6b7d, 0x357d451a, 0x71f30c0b, 0x98fda297, 0xa0a35d07, 0x07bcc4f2,
+    0x15209ba2, 0x48a22e3e, 0xc41399bd, 0x2d63de17, 0x7b39c753, 0x6b821260, 0x59eedafb, 0x8896a19d,
+    0xe8cda62a, 0x50347c39, 0x65b65054, 0x475ea211, 0xa6e10fb9, 0x97795cd5, 0x6e60f83d, 0x07bda310,
+    0xb426f99a, 0x0f3ef14a, 0x5e9b2f4b, 0x7e37f737, 0x5cb1fbc3, 0x347be616, 0xf254f7a4, 0xc49f9996,
+    0x4ad243b8, 0x79d88dd3, 0xfc58836b, 0xf9e721c8, 0x3ef21826, 0xe4b032f3, 0xa9d06e10, 0xf7a2428b,
+    0x8d23f146, 0x79cefd0a, 0xfe4d1db2, 0xa9d8dd41, 0x6ee3750f, 0xe6622dba, 0x2983755d, 0x782909c7,
+    0x06c45f01, 0x4c2fc918, 0x06e3f071, 0xf23bc7ce, 0x3b2639ef, 0xd17a1011, 0xc04211bf, 0x80882899,
+    0x74756544, 0xbb8a61fe, 0xa9eb148c, 0x9c79c55c, 0x0ab0301e, 0x778a824d, 0x48fa8a62, 0x8032689b,
+    0xa0ef9690, 0xfb201905, 0x3430917b, 0xf4d3a35e, 0x8a7091a0, 0x1483c675, 0xe36f18df, 0x0d151fa8,
+    0x75f979c4, 0xe5415d61, 0xf61ce15d, 0x8f826915, 0xceb23ebd, 0x34d1da10, 0x4ddf7d6c, 0xd1ab113d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000664613997892457936451903530140172288 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf6, 0xff4dafda,
+    0x00000000,
+    0x9d9b86ce, 0x3ec2798b, 0x89ef7db6, 0x81711fd8, 0x3d57a1be, 0x81daaf68, 0x47f4c525, 0x5d224009,
+    0x0fbf6a8d, 0x28dd42ea, 0x092f38be, 0x0f17aa1c, 0x4708938f, 0xb7582417, 0xf283f05c, 0x4dc3a341,
+    0x5ce48b0e, 0xfb8e0bf2, 0x7fc73faf, 0xf12c4579, 0x7ed952c7, 0xd8671eb2, 0x23c7fdcd, 0xf81553fe,
+    0xc4077e06, 0x286650ee, 0x4d120554, 0x7c74690c, 0x5ddd905f, 0xae3f8396, 0x0fdca860, 0xfad3fa29,
+    0x3d1eb1d5, 0xf05c05bc, 0x96200a7d, 0x0db74186, 0xa11358ce, 0xdcf7ecba, 0x1b0e6e42, 0xbcbba474,
+    0x4a08ad9d, 0x4e8337dd, 0x07b30c3c, 0x22d9edd6, 0x6dab1ce7, 0xdce364ac, 0x48a0db22, 0x50843eca,
+    0x6a2fd63c, 0x171c5a92, 0x7128cde7, 0x10efe592, 0x4e0656c7, 0x62f636f1, 0xb5b615d3, 0xd9e8ca52,
+    0x42d756bc, 0x9d49bc32, 0x9b397580, 0x7f08c09a, 0xf20f256e, 0xb6ca5fcd, 0x8bdefb34, 0x5a55e7ee,
+    0xe28e1cd1, 0x0715db40, 0x9862bdc6, 0x83b1f66d, 0x6f397bb0, 0x5f1a78ed, 0xf76837e8, 0x48e31be0,
+    0x2cf2cb7c, 0x37b5613b, 0x42fc03f6, 0xbdbd8225, 0x8496ea82, 0xe4ea9c98, 0x0f08d776, 0xb7017fe2,
+    0xbb9d2609, 0xc10bebc6, 0x8ad44e0d, 0xc16b3772, 0x2a4a1906, 0xbb7c13d1, 0xc499bd98, 0x77a10faf,
+    0x6eadd00f, 0x8c466306, 0xfe3dba22, 0xcff4e51f, 0x8a968f22, 0xf417de2d, 0xe728f27b, 0xc00aa4cb,
+    0x0017a0b4, 0xec11069e, 0x67af86f7, 0x3ad501c5, 0x479230cb, 0xeb0cd9da, 0xe50f3e8b, 0x9c27b197,
+    0x84369247, 0xa67096b4, 0x811f8d36, 0xc53e81fb, 0x5b3f8e94, 0x6219c294, 0xa5e97b6d, 0x6f9ec610,
+    0x23c0baf3, 0x2854d44c, 0x2b70cb5b, 0x9c86822c, 0x4902032a, 0x8b2e000c, 0x1c11a5a8, 0xc8c0356e,
+    0xb4b72070, 0x958c4436, 0x94ae8cdd, 0x7b7aafed, 0x0dc60cf4, 0x65244de1, 0x11ca85cb, 0x82fdad02,
+    0x2944116b, 0x014fe497, 0xad029d6c, 0xb542e88b, 0x8fe71ccf, 0x2c76af3d, 0x3a4e0f23, 0x75173489,
+    0xf86a0ab6, 0x9d808fff, 0x1e94b053, 0x75536e11, 0x6e72c216, 0x41865e52, 0x75c5b6e8, 0x376058a7,
+    0xc864742f, 0xe3e8d84f, 0xea8c82da, 0x4cd16b8f, 0x2786e494, 0x6f41d19e, 0xf924dd19, 0x972fdecb,
+    0x7ac8f8a6, 0x21e10ab7, 0x8d6e358d, 0x9c6479b5, 0x8ca309f5, 0x2a424306, 0xbdf21fcb, 0xdd70afb5,
+    0xd754c4bb, 0x322fdbd8, 0x9bbb26cb, 0x8fe86ca2, 0x9e3adf57, 0x91f954a1, 0x1e23e735, 0x2dc0971b,
+    0xf948e574, 0x63ca8560, 0x2b5f0656, 0x7853189d, 0xf896f350, 0xe04740f3, 0x6e53d8c4, 0x006a049b,
+    0xbd2182dd, 0xde9cfb1c, 0xe817a870, 0x4348b1d7, 0x17499d37, 0x4db47e2e, 0x30eaf2f6, 0x50d3c603,
+    0xd1cef3f8, 0xc872a054, 0xe5ba77bf, 0x75495a6c, 0x374ed017, 0xd702592d, 0xf54a4aa8, 0x702af726,
+    0x3d829b50, 0x230da658, 0xee0389a2, 0x888363d6, 0x3a81d326, 0xf371bbc4, 0x91de88cf, 0x08e361ef,
+    0x06d7e750, 0x8cf76940, 0xfc22dbf6, 0xbb9e8976, 0xae77c958, 0x9c9d6030, 0xe3e019b7, 0xbd405879,
+    0x4a5e46c8, 0x9e0220ae, 0x2a94d953, 0xdcae4a28, 0x4cac9216, 0x07d5058e, 0xb30fb3d2, 0xe3cff768,
+    0x4831e652, 0xcd56b1d8, 0x2ddc8398, 0x84c0a80b, 0x052a6fa8, 0xfcafa8fa, 0x7f4e061b, 0x01d8435f,
+    0x1e198013, 0xf4c7197b, 0x325e4c5a, 0x5e633c46, 0x7604b57e, 0x560888df, 0x696f5024, 0x0bb88d2f,
+    0x8c24a0c3, 0xfa0f4ced, 0xa42c3213, 0xaeb07176, 0xedca651e, 0x36f555dd, 0xd29d40e1, 0x67ff6786,
+    0xf0a8689e, 0x0d2a19ef, 0xb962c4f9, 0xb037e9d5, 0x263f3594, 0x09ede2a0, 0x695914f5, 0x491bfff5,
+    0xb6ce176e, 0xb25946c4, 0x5754d2fc, 0xcc2741ba, 0x1e9bab67, 0x0d99bae3, 0x403bfd12, 0x2e915868,
+    0x289e32cc, 0xd167a0ab, 0x9bec2f5f, 0x47995132, 0x5a7055d6, 0x4ba3ba36, 0x96fbeb1a, 0xcc4895d6,
+    0xc007d3f0, 0x1cae92e4, 0xf87e9c19, 0x3e2fc1ae, 0xab33ffb8, 0x65e8a5cf, 0xc5f9f8f6, 0xdbc86946,
+    0x57136235, 0x943f96eb, 0x80b87533, 0xcfba5c9a, 0x76d6195d, 0x1dcc654d, 0xd642063a, 0xb9fe17c9,
+    0x72a6f8e6, 0x98f8e473, 0xe2fc047a, 0x151aed3c, 0xcf145ef3, 0x0f8bc3f5, 0xabccc831, 0x71033101,
+    0x6fea2adf, 0x327e7213, 0xf94f2c35, 0xd9fb7ca3, 0x7f652035, 0x481f80ab, 0xe45e3ce6, 0x24861915,
+    0x11634b87, 0x04c7d6f9, 0x6795e65d, 0x06703eca, 0xf09a0035, 0x04b29dc5, 0x8bd118bd, 0xb05163c8,
+    0xfb078b8a, 0x1f9c8827, 0x5773797f, 0x6e632aac, 0xb571e135, 0x49b49c5c, 0xb5426aef, 0xf1032396,
+    0x516e4bc9, 0x1b6b487f, 0xa5592f47, 0x64da02b0, 0xf2741b16, 0xe88057b0, 0x3f2c44a9, 0x4430458b,
+    0x5f7a03ed, 0x1f4261e9, 0xe08a8d40, 0xba1ac50f, 0xf0169792, 0x0d81a31f, 0x94aa9ebb, 0xc7b3cd05,
+    0xeed1cd77, 0x21bfec29, 0x9d4591c7, 0x85d1d72a, 0x26483fa8, 0x7151b160, 0xcaba1b29, 0xe502c28c,
+    0x94edfa2c, 0xa4cabe21, 0x99951413, 0xf207d8bb, 0xb8ec055b, 0x515185f0, 0x0742b894, 0x19a54a03,
+    0x402fda00, 0x6ba8a232, 0x0be6e959, 0x6cea3f77, 0xab6c2e30, 0xffcdbc57, 0x3cd562f9, 0x6b76282f,
+    0x89f5bf94, 0x73596305, 0x04784f60, 0x422c9c10, 0xe4c695da, 0x60f949e3, 0x2c1a0123, 0xeaf2aaf3,
+    0x3bcebcf3, 0x9747c538, 0x64374edb, 0x13093909, 0x83dd99b0, 0x8f5e2d58, 0xaecf2cac, 0xfb444e09,
+    0x074cb065, 0x61b4f3cb, 0x5eec5a48, 0xb5cc7560, 0x6ab8cf65, 0xc8ea9dc9, 0xda1add04, 0x5d376430,
+    0x0ec7fe69, 0x6e330a6d, 0x838ad99a, 0xed338be0, 0x62500347, 0xb40c76b0, 0x0d25ced1, 0x89f304b2,
+    0xee76bac5, 0x6ca66b04, 0xa033acc2, 0xd75f3cde, 0x2dd97538, 0x9781fa43, 0xe9258484, 0xd095c7d1,
+    0x42db9d4a, 0xf72a5ada, 0x91fafd1a, 0x2952b6d6, 0x031a6c36, 0x8600d8c4, 0x09703681, 0x2a14dc22,
+    0xb626f07e, 0xb0315474, 0x8382f456, 0x413c0c97, 0x36c1c589, 0xb5317ab2, 0xf59607f8, 0x563796c8,
+    0xdbe3a94f, 0x86a7aa07, 0x7fdc0f96, 0x990619c9, 0xb606571a, 0xea2aa3d6, 0x2eeb97d5, 0x0f92d914,
+    0x69cbb5c0, 0xe17460df, 0x4d383bb8, 0x78260d26, 0x512ef547, 0x93150e0e, 0x56561a48, 0x3e96107a,
+    0xeb762022, 0x4d68fd34, 0x63a3252a, 0xe857304d, 0x32ecbfbb, 0x5627280b, 0xfd2e82b9, 0x15c05e1a,
+    0xab2668cb, 0xcf60851b, 0x8457eb8b, 0x73a8e4d7, 0x49f409bf, 0x957c9de8, 0x641cb53d, 0x1beaf078,
+    0x713394ce, 0xd4f7f9e2, 0xb8454697, 0xf8e845fb, 0x7611c8b0, 0x4733f7d9, 0xa0e6000e, 0x7aa8464b,
+    0x5fbc9b91, 0xa118a4e4, 0x75474805, 0x27b12c98, 0x88f2186a, 0xcb5191ae, 0x2e0b1f4a, 0xeb52ab04,
+    0x775b7112, 0xc1d59ff2, 0x7afcb851, 0xdf577d2b, 0x4afc1adf, 0x084a8c22, 0xc869eb2d, 0x7d67b9b8,
+    0x783bb0b8, 0x9efacec7, 0x2030d3e1, 0x4047b975, 0xe293e58e, 0xa7c275a2, 0x39d90423, 0xc9f6327d,
+    0x4c79f525, 0xdf42bdc8, 0xe6d298dc, 0xa4e54200, 0x8f69f5e1, 0x4d5e7d24, 0x1bf7dd61, 0x02791357,
+    0x99b4b56a, 0xce2bd8b8, 0x1718ebd6, 0x8705333a, 0x15a4f4c8, 0x76dde209, 0x98f955b7, 0xfe24add6,
+    0x72ec4b87, 0x6dba3270, 0xe1d4a3fe, 0xc9c5c7c8, 0xb82d03ae, 0xede10ca9, 0x6a156baf, 0xf661e84a,
+    0x7803a3cd, 0x0c0a268a, 0xf473da5b, 0x2659a9d9, 0x8fbb8234, 0x8de45d17, 0xf9aae025, 0x9d542294,
+    0x796dd7d5, 0x707a3e51, 0x76ec6d4a, 0x77190764, 0xe825837c, 0x7bc6ecc1, 0xde78a487, 0xa718f6c3,
+    0x1a41a8c3, 0xab78bbd9, 0xb343d015, 0x8d9499a2, 0x69e84c24, 0xf174fdc7, 0x58f810fe, 0xd1549f28,
+    0xeffef65e, 0x85e1f25a, 0xd48a1b1d, 0x2b5a8034, 0x6254e17b, 0x78c217aa, 0x72f45f18, 0x24eaf324,
+    0x3cc10597, 0xf5977321, 0x0c359166, 0x1ed46e7a, 0xaebac70c, 0x5819f8eb, 0xcb6ec3fd, 0x173f65a9,
+    0xc8919380, 0xc1f32f7b, 0xb85debe5, 0x99ff362d, 0x6b6428aa, 0x336bcff4, 0x577e36d7, 0xd53fbb16,
+    0x68a4d7aa, 0x4f1c4ff9, 0x5e135cdb, 0x8c800ee6, 0xcb542abf, 0xc7d0ae39, 0xdc61310a, 0xcb128a39,
+    0x2c9f60df, 0x0a73a156, 0x644daf4a, 0x4640c859, 0x7174ba40, 0x67e41a4d, 0x906043e7, 0x2da3a7ad,
+    0xeeb8ca53, 0xf7ad7525, 0xf07edb62, 0xd9fc695b, 0x87d151e5, 0x29d4000c, 0xf1f92601, 0x72655641,
+    0x2fce010a, 0x4a5e40fe, 0xe00b24a5, 0x26dbbc4d, 0x1c2ee270, 0x6adb77f5, 0xc67a3b99, 0x8c7dda41,
+    0x93cb04f2, 0xc9e3fbf3, 0xc5081eb1, 0x19e136c0, 0x9c12946f, 0xf5bb4a26, 0xb4155591, 0x9bbf832b,
+    0x1c80a390, 0x36ae4a95, 0x020b427e, 0xe83b9b28, 0xe67c1d39, 0x91a1c0f9, 0x3b97d2cc, 0x6d1170bc,
+    0xa9f26bed, 0x49503f86, 0xb793fdbb, 0x428cdd61, 0xea79c470, 0x30465ddb, 0xb81eed3e, 0x0e0dd925,
+    0xaa0fb07c, 0x9c28a5cb, 0xafce4fd2, 0xb849a808, 0x76a28b13, 0x58e52dc3, 0x46292e70, 0xd5809a92,
+    0x12a2c224, 0x51cb8dc1, 0x0f3915e1, 0x389f831b, 0x6bd97d03, 0xb71e28ba, 0xe0e3cf10, 0xcaa1e4af,
+    0x593aa52e, 0x409f80bf, 0x859aaf58, 0xae300e35, 0x5d09e450, 0x6188063a, 0xe4bb87a8, 0xebd41d0a,
+    0xca1a050c, 0x5cc9ac8f, 0x87e19748, 0x32567016, 0x50735c5f, 0xe5266d4a, 0x4b8e3c86, 0xa2f5946b,
+    0xdd70dcb8, 0xbf78dd4d, 0xf74d0fd1, 0x2a07d31a, 0xb5d39999, 0x68e3b68f, 0xbb222453, 0xb8ae8bbe,
+    0x35af48d0, 0x019c5fef, 0x2aab4142, 0x29ea98a4, 0x22a29d08, 0x90741304, 0xd32a5032, 0x2c9d22e1,
+    0x5976b949, 0x86be5ac8, 0xfb60b0fc, 0xbfc5aae8, 0x9d61294c, 0x42e1ce1b, 0xe313642b, 0x4558bd69,
+    0xa12c9833, 0x721feac5, 0xe7899619, 0xda7f4ada, 0x6e0521b1, 0xa9f4461b, 0xd5c1da42, 0x54de9f85,
+    0x0b4a0a13, 0x40e0a7f2, 0xf046a7bc, 0xba860486, 0x9e5babb9, 0xb8efba1a, 0x7cfeddef, 0x267efcfe,
+    0xa06e71e5, 0xd5bb2da8, 0x6f4f64fd, 0x056f6e7a, 0x3a221cac, 0x739eab77, 0x8107a569, 0xf7099c70,
+    0xd0349898, 0xe65de843, 0xb94d382e, 0x4417493b, 0xcbcdd094, 0xd6700186, 0x86daa123, 0x094ef477,
+    0xcc70d22a, 0x1f9599d5, 0x7f7e3861, 0xd36c28bc, 0x13db0337, 0xca4f73b4, 0xe1c8156b, 0xa94e8fc9,
+    0x61310022, 0xd9e39190, 0x987beb9b, 0x459a0947, 0xe305b570, 0x8e527291, 0x8dc37136, 0x34865fdd,
+    0x8eee4e09, 0x5ddb6594, 0x1974fb74, 0xf2ec90ee, 0x4e227a0c, 0x723554b2, 0xca28a8f3, 0x6ccdab6a,
+    0x41e00c8c, 0x17144efe, 0xc05afc07, 0x75500ea5, 0xc0e6f832, 0xd8071a2a, 0xe1449d0a, 0x8f8bc37a,
+    0x8e0e6791, 0x0fe6a10e, 0x75f20207, 0x63003aca, 0x42ab6d89, 0x277bd4e7, 0xf03b9399, 0xe8dc65bd,
+    0x29831eb6, 0x02b12cfe, 0x2dc2e811, 0x14537da8, 0xf643558e, 0xb9d5af0a, 0x33dbd3fc, 0x33c25016,
+    0xaaccfc59, 0xa7829d71, 0x2141fd4c, 0x6383bfa5, 0xb5436c56, 0xd4a6c813, 0xf11a11e9, 0xc5cb6631,
+    0x23eb02da, 0x20fcc3ac, 0x379a265c, 0x28432e0e, 0x082e8528, 0x0c02b89c, 0x03c8efe5, 0x58e52c28,
+    0xee17f13e, 0x5293970b, 0x59f1e1a6, 0x9ced685c, 0x7920e5d1, 0xa6a46732, 0x7caded08, 0xcd41fbee,
+    0xcecdc4f8, 0x160294da, 0x48e3db14, 0x3721021b, 0x063aaaa4, 0x232af511, 0x269f5391, 0x05487e89,
+    0xa02708d2, 0x34178c6b, 0xeb66dac3, 0x2c12d939, 0x1e602ed9, 0x72f9e893, 0xf04c8a15, 0x0a193363,
+    0x7b3050e1, 0x5caf2317, 0xd0e13bf1, 0xf4a891d9, 0xb66cd830, 0x8fc8eaab, 0xf3a8ec73, 0x35ccf86b,
+    0x4bc46383, 0xef84c38d, 0xc2ac1d9c, 0xb3ecc28f, 0x55e35f8d, 0x4978c714, 0xdbb7ed7d, 0xc74a4537,
+    0xbce430cb, 0x1abeee8e, 0xa2389e5a, 0x42458316, 0xa43ec8d0, 0x83466dbf, 0x749803a5, 0x1c5c7ba7,
+    0x93553436, 0x2d1dc564, 0xe614e04b, 0x8ff483b5, 0xbcc8f259, 0x6284a063, 0x23704fa9, 0xf3162ac4,
+    0x151c234e, 0x5cd141a0, 0x76df5717, 0xf62bd695, 0x6b96c662, 0x57eba4f2, 0x890977e5, 0x68ffff77,
+    0xfae262d4, 0x19d6a9cc, 0xea0119c2, 0xd18d4fe3, 0x85d7b7a3, 0x5755ceb5, 0xa5c57247, 0x7e8f0e7b,
+    0xe29327b0, 0x0bcb6ce5, 0xe55485f2, 0xa062c69a, 0x9d7460cd, 0xb18b323b, 0xb7e28edf, 0x78ed524b,
+    0x584e91d1, 0xc08d1861, 0x7ceeff30, 0x8fccfd4b, 0x332e0c57, 0xe21f4685, 0xbb0c5bbb, 0x2b937942,
+    0x834301da, 0xdc8027ad, 0xc0b51470, 0x49be72a6, 0x276fdd75, 0xe9940dc0, 0xb2b1be7b, 0x4936411f,
+    0xe3d81621, 0x5f4334c7, 0xab3bebaa, 0x016aa2df, 0xa9e64d1c, 0x4b797ab2, 0x675fca31, 0x33db34c5,
+    0x359f3600, 0x0322e903, 0x87f8373a, 0xea60555b, 0xce69e6bb, 0xc69a385d, 0x6e236047, 0x32d99d6a,
+    0xdbbef2e2, 0xc9a72995, 0x6a5256a8, 0xa94c4f1a, 0x1e6d6ec0, 0xa8bc969b, 0xb1e5f777, 0x4e0d3c5b,
+    0x46d6022c, 0x8b76f6e3, 0x0b262e30, 0xf78433fd, 0x02cbde87, 0x77840f25, 0xb1cc27b2, 0x48cb6fe0,
+    0x2fc7e3ac, 0xbd8505cf, 0x63607dd2, 0x829b7f81, 0xdc0033ee, 0x364369a3, 0x19b7915d, 0xfc9fb99e,
+    0x7835565e, 0x89ec23bb, 0xc27cd289, 0x38df7288, 0x6961e463, 0x3946088e, 0x265602c4, 0xb23dda10,
+    0xa77b11da, 0x031423df, 0xb3909679, 0x35ef17ca, 0x6dc76ede, 0x77125f69, 0xf7991b70, 0x315e75a8,
+    0x4826f500, 0x9b5ef205, 0x0706a4a6, 0x27a5b66d, 0x86402740, 0xdca67f96, 0x325884ab, 0x8f329970,
+    0xeaf033f7, 0x76a7f82c, 0x21b5fdbf, 0x6fc42d0b, 0x6c8dcc82, 0xd0dceef5, 0x36d39019, 0x68629a48,
+    0xd917c2a3, 0xa577187e, 0xc4cf3bf0, 0xf0189dc2, 0xdcc1da7f, 0x3bef9b23, 0xb136df04, 0x9b117615,
+    0xa9546dd9, 0x7f6e4566, 0xcda9ee88, 0xde4f75d0, 0xf1838b20, 0x32f83546, 0xa63194a5, 0xfaae7ee6,
+    0x96fd2046, 0xe739d4f2, 0xd22267b7, 0xd435c774, 0x71602a5f, 0xc21fde3b, 0x9124c567, 0x1933f431,
+    0xa0bb4009, 0x30db359c, 0x684a3665, 0xb0967d6e, 0x55151fb6, 0x27b9907d, 0x1d5aea22, 0x2e978cdd,
+    0xbda9b0e8, 0x7dad9241, 0xaab686c8, 0x015ad936, 0xe23182b2, 0xaa3dbd5d, 0xa12de3d7, 0x2f0b3509,
+    0xc297723c, 0x27420b71, 0xe156bdcd, 0x548340b3, 0xf867452e, 0x890064e6, 0x75202d66, 0x14168778,
+    0x695d32cc, 0x382e9d88, 0x74182f8d, 0x80fe698f, 0xca831d67, 0x3b3c5b7c, 0x5afd285c, 0xb6a33b4c,
+    0xa16d50b3, 0x9ee1315f, 0xa58852c6, 0x3861327d, 0xbfdf1e95, 0x0b40e31b, 0x62efbf18, 0x0bf01e1d,
+    0x8ef088f1, 0xe83e0ee8, 0x7f83ac42, 0x00eee348, 0x81af6626, 0xcd1df8e6, 0x9b3fec30, 0x07199b06,
+    0x0bd5c67c, 0xcaba46ff, 0x5567c327, 0xb1f78da7, 0xcc2a3bd6, 0x7a5d949b, 0xaa65508c, 0x40db769d,
+    0x53b7d9ce, 0xf7e6cb4f, 0x18e59908, 0x51302ca4, 0x74e952e2, 0xcbd931a3, 0xb87a77d8, 0xbaff2e77,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000332306998946228968225951765070086144 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fb, 0x7fa6d7ec,
+    0x00000000,
+    0xc8ddef9d, 0xdc1c5b0b, 0x50e031fe, 0x01b8a0db, 0x565ed72a, 0x525d9a36, 0x54458917, 0x7d47feb4,
+    0x79977ab6, 0xedcc528b, 0x61c520c8, 0x2e70e13d, 0xdf43ade5, 0xf754d0b8, 0xc8f1c71f, 0x69f7a21c,
+    0x0c182248, 0x3e2c6429, 0x9d14fb10, 0x5f8d97bd, 0xaf222511, 0xe09bb9de, 0x2e413d0c, 0x91d58016,
+    0x38c04965, 0xe52e7503, 0x145fdd59, 0xdb8411be, 0x9560487e, 0xb4527f34, 0x8f1e15b0, 0x132d26f1,
+    0x7632b33b, 0xd99099c9, 0x5eeb7dc9, 0x879eabbc, 0x4ab48791, 0x64f177ef, 0x696d1dd3, 0x5109740d,
+    0x91d7af1f, 0x92e0a04b, 0x25e59a98, 0xfbc01e53, 0xbbe45149, 0x8b49d846, 0x3ff89985, 0x0f5a2d24,
+    0x76781e3c, 0xe54af034, 0x5a01105e, 0x84ea279f, 0xf8207b25, 0x76d66c6f, 0x56605ec1, 0x2c18d6a9,
+    0xe92933ce, 0x46d9854b, 0x8d45d6af, 0x92917dfd, 0x3738c053, 0x61f15313, 0xb8f47023, 0x6740d34c,
+    0x2958447f, 0xf6bf6753, 0xe4b1b167, 0xfbee8fa7, 0xa5f3137d, 0x6c28ec7b, 0xcfa1e42e, 0x661454a6,
+    0x49417073, 0x6f47d88b, 0x2b212a43, 0x01205543, 0xe615fc6c, 0x9fa19901, 0x2f518224, 0x525bfe9f,
+    0xa4aaef1d, 0xf6b0febf, 0xe1f6efad, 0x0b9811a3, 0xc28b1a90, 0x1e5bf699, 0x2c52b9bc, 0x926ef84e,
+    0x68fabfdc, 0x9a2ca6dc, 0x49ec71c5, 0x2003dbb6, 0x66890311, 0x50a7ba37, 0x07842c15, 0x45acc3f9,
+    0x6536f6f2, 0x42d6bf78, 0x94d402f9, 0xf4ea0521, 0xdbf665ed, 0x12421f16, 0x26c479e1, 0x61a470b0,
+    0x38c506f6, 0x88cdd7c1, 0x68a7f820, 0x3758a3a7, 0x8d9aa488, 0x7b8fa9d9, 0xd80221f1, 0xb19ba1ab,
+    0xa12ce70c, 0x7eb1725d, 0x4c20b06e, 0xf0e02285, 0xddba8d04, 0xba69104d, 0x1071081c, 0xcee4c335,
+    0x54e7dbd5, 0xc220c8dc, 0x99daee38, 0xd6212072, 0xf1e652e9, 0x2caf5d71, 0xf2b0ce24, 0x78fba707,
+    0x18e67c53, 0xf4db913a, 0xc41482c1, 0x332dd613, 0x217f054b, 0x4c3f7136, 0xcb3514c3, 0xd0fa4929,
+    0xb22e6f0e, 0x61e4ea61, 0x37d296e2, 0x4d881659, 0x3871ae7d, 0x2c56e461, 0xfa3c16df, 0xfb08602c,
+    0xe1136b00, 0xdc1ffd45, 0x09b002f9, 0x2ac640a5, 0x915f316a, 0x14ffd116, 0x9765f4da, 0xb672c705,
+    0x71b57991, 0xc5b2fb31, 0x7a91b875, 0x225ce911, 0x004d6c39, 0x56b5b54e, 0x11a356d6, 0x3b38820b,
+    0x5b12aa09, 0xfd54a7c2, 0x0dbcfea4, 0xbe105388, 0xd849b552, 0xd2db35de, 0x99cd9836, 0x957fc088,
+    0x36d16172, 0xd02ff73a, 0x1df5ec42, 0x99c6e86c, 0xebceada8, 0xb711a0bd, 0x8aeef2d3, 0x4db766fa,
+    0x4f0c374b, 0x1901fa14, 0x7309174b, 0xdee81172, 0x66461d42, 0x1829c366, 0xf6adfa6a, 0xab36d146,
+    0xc044ab5a, 0x533bb01a, 0x9903181b, 0x3cee9e4e, 0xb9973d73, 0x82686bce, 0xdc8e06fd, 0x2c7400ee,
+    0x825977f7, 0x2246fa16, 0x4867dcde, 0xde65be53, 0xa70118e7, 0x678d0ae3, 0xbd228dbf, 0x9d2a619f,
+    0xbab65d91, 0x5d7742ea, 0xa262025c, 0x631b5ebf, 0xc18c2071, 0xd485de72, 0xc38a7c28, 0x4c6a092b,
+    0x447ff12f, 0xec0fa51e, 0x5d9e7742, 0x7d6a571a, 0x76cdfb76, 0xb1f34b6d, 0xf59a7ecb, 0x6f2dbffc,
+    0xebb054a5, 0xa1706afa, 0x8323b9bb, 0xac88e82f, 0x3b525cdf, 0xf8307371, 0x0bb6f231, 0x07f001f2,
+    0x03080f86, 0xa8bdd653, 0x04b31c8a, 0x7cbdc182, 0x0af0b509, 0x0e6fb220, 0xb7a5955a, 0xacf009c7,
+    0x10586c1a, 0x402ba5b6, 0x7704553a, 0x828cc3f0, 0x61bbc152, 0x433d36a5, 0xe489b567, 0x02cb8a9e,
+    0xd14eae46, 0xfac4b0f1, 0x0d7de29d, 0x551c6ee5, 0x2641bcef, 0x92f61dff, 0x140d56d6, 0x45c4365e,
+    0x6d092d73, 0xb0d0ffef, 0x5349c091, 0x85577cc8, 0xe5b73aa5, 0xc3aafe84, 0x8113263f, 0x494cb92a,
+    0x38d84c5a, 0xbdfa4a4d, 0x05170a8a, 0xd2a9a1d5, 0xc8420b10, 0x86f7a21d, 0x2a6d2a56, 0xbaa53112,
+    0xf55c8e6d, 0xb4eaec8a, 0xe0c954e5, 0x3064142f, 0x55d18dd1, 0x04f8d401, 0x1d4c2843, 0x136395b1,
+    0x4734a70d, 0xc8286b0e, 0x8f6fa666, 0xa5798a9c, 0xa90821c8, 0x39812fb5, 0x4cd802a4, 0xe2df8f29,
+    0x6d2174f2, 0x2e95a107, 0xf0d47af1, 0xcbb02ed2, 0xe11ef856, 0xe95f0dd3, 0x50038f72, 0x327ea137,
+    0xde988d80, 0xde8c2935, 0x5fad0799, 0x29690495, 0x6574fcb2, 0x716e0cd4, 0x446ca201, 0xf63909fa,
+    0x5765927b, 0xf09d28dd, 0x4cc683ed, 0x5a732a4d, 0x0262979f, 0x53cfa9f9, 0x552e70ae, 0xb710ffb6,
+    0x2176966f, 0x5815877a, 0x66270c2d, 0xdc48d46d, 0xfee9304b, 0x9b4bae84, 0x3a130735, 0x1f5eeacf,
+    0xa2076d06, 0x1c8a198c, 0x7efcc890, 0xcbfb6759, 0x4695fcf3, 0x83f7fbf8, 0x12f8c7c5, 0xc142a3aa,
+    0x00a2fe68, 0xa8e99d97, 0x3084602e, 0xb4d02b5e, 0x9968755f, 0xeb118e81, 0x47192039, 0xcc46198f,
+    0x9ae33133, 0x5b41c07e, 0x49eaa37c, 0xc0b458f4, 0x3f728836, 0x7e525fc0, 0x569c23a6, 0xbfd1f801,
+    0xe3f42546, 0xc22ddedd, 0x075ea045, 0x0b6f6875, 0x2b9b99c6, 0x53c76c3f, 0x3a0039c7, 0x91db9ba8,
+    0x7a4160fc, 0xb45b676b, 0x7e0aa49f, 0x29794e41, 0x4bab7a21, 0xb32a078c, 0xf847d5c4, 0x9f0df2a1,
+    0x07ff767b, 0x0dc527bd, 0xf5ba0ecb, 0x8169fc77, 0xd42e4de4, 0xc75cb1e2, 0x6ab930c9, 0x43445e84,
+    0x057ccaf0, 0x87f1ac2a, 0xbde937f9, 0x0e8be1e6, 0xd5ed41b5, 0x2c9c3335, 0x679b8ead, 0x00f4b21b,
+    0x5d62f6fc, 0x19ba2991, 0x563f05c5, 0x64437908, 0xd06a0560, 0xe1b75d2d, 0xa008b8ee, 0xd2414788,
+    0xec4ca337, 0xd2182db6, 0x4057339a, 0x6f6ecb9a, 0x10972799, 0x314e5abd, 0xb55cc046, 0x4e319b4d,
+    0xbb886ab7, 0x609297c3, 0xa4634561, 0x71b99748, 0xf39965a7, 0x5edaff8a, 0x3b54c4da, 0xe6146e47,
+    0x8937b6e0, 0x0bd2bf39, 0x4b7edbc8, 0x0cc23caf, 0x197cd9fd, 0x5c080d17, 0xe405b01c, 0x9fa1921a,
+    0xa754d043, 0x174cf9c4, 0x7a3c857f, 0xeb530702, 0x54f1063e, 0x94014c23, 0xbb3dc745, 0x6eee7c77,
+    0xa08aaa80, 0xe7a9a4d4, 0xb1aa07cd, 0x3267677b, 0x2ce51f36, 0x52b924a1, 0xdd9ad469, 0x407961db,
+    0x8c4fe058, 0x5e41dd77, 0x5a5816b2, 0xd33c037a, 0xd262640c, 0x3421c5a2, 0xecfca407, 0xac61d350,
+    0xdd68c720, 0x8c7e3ed3, 0xd96c8b41, 0x88b795e0, 0xff99dc68, 0xff233186, 0x417d8575, 0x1d29b2bf,
+    0xf9843faf, 0x09e160c0, 0x6bad5210, 0x1f054fe7, 0x58fbfc65, 0x2fc4b23a, 0xddc14ea7, 0x6017f36d,
+    0x3255d008, 0xb99f30b8, 0x63349450, 0x948233a2, 0x944d8ad3, 0xec775764, 0x10b5c203, 0x89361a4d,
+    0x4616c70d, 0x33465c85, 0xe2eb4647, 0x485a5ad1, 0x56766ed9, 0xe0d9e875, 0xd2e89e4a, 0x68610452,
+    0xd029a859, 0x494ca082, 0x5cf168b7, 0x8a0bcb2f, 0x43006bf2, 0x8749b0ed, 0x0f922614, 0x19030176,
+    0xf38b9384, 0xf4d23fa4, 0xc74f3546, 0xce1598f4, 0x659eee64, 0x8039a118, 0x2b9225bf, 0x0a1d1dc9,
+    0xda30872e, 0x0aa925e2, 0x32083d52, 0x81bf3038, 0x31e950a6, 0x59f187fb, 0x69d326ba, 0x980d1dfa,
+    0xd0e66033, 0x268ae7c5, 0x60961e2f, 0x3c7c72b3, 0x14f491f8, 0x24a5f535, 0x41d129e3, 0x48d98cc8,
+    0x315cca54, 0x8ff000fd, 0x8795bf89, 0x5197c23c, 0x07dc0061, 0xd131cdf4, 0x9334537a, 0x96dcfe24,
+    0xcef15070, 0x3f54df98, 0x5c3789c7, 0x3fa93e0e, 0x87ae28f1, 0xb0f63681, 0xef3aa9f2, 0xde040722,
+    0x83e906db, 0xa880fc4f, 0xd599f50f, 0xde483fc8, 0xdd0af0a4, 0x99bf5eac, 0xc9785f41, 0x237fb28e,
+    0x16dde763, 0xf4e82fc6, 0x9dac1703, 0xd6fbf4bc, 0xa6100924, 0x9908e170, 0xd099e7c8, 0xfe9ee36a,
+    0xb958c8e3, 0x8c1f1a83, 0x91550fec, 0x39b75d56, 0xc377ac82, 0xe3e52214, 0x0881b8fd, 0x8e4c42db,
+    0x05136a8f, 0x5fd1e33c, 0xc0e0a8f4, 0x38b7ee18, 0x3d6c6336, 0xfd38bab2, 0xbfc937b5, 0xd99c65fb,
+    0x333c91f6, 0x60ec9c40, 0xa4ff973d, 0x6cc47622, 0x67ed6613, 0xca2a0c28, 0x7af0af4d, 0x4b8c4494,
+    0xfdaaea1f, 0x78343401, 0x1b13a646, 0xc0dcc4db, 0xee2558b9, 0xb781913f, 0x4cdc0fc6, 0x2fe0a129,
+    0x397df6fc, 0x0d5cad3e, 0xe315933a, 0x1deaf73f, 0x848df84a, 0xf0df84a0, 0x4fac7892, 0xa7c3bd09,
+    0x30d1b597, 0xe049638a, 0xab57c30a, 0x1c910d54, 0x3a132443, 0xfc0ca4cf, 0x2c091b19, 0x504e80e6,
+    0x01b662b8, 0x525268ff, 0x386d6402, 0xee22ff0f, 0xea7e1d62, 0x82093dba, 0xa1412f22, 0xe4710d1a,
+    0xed2c3433, 0x031c940c, 0xd64aa7aa, 0xbafd49c5, 0x038c4f5c, 0xd894fd8d, 0x5984f1f6, 0xfc9f4021,
+    0xa217fdc7, 0x52a89d7b, 0xee997695, 0x8082aa6c, 0x75a27be3, 0x28ff70d6, 0x15aef22a, 0xc3352880,
+    0x9159caea, 0x33f1ece5, 0xfd70a500, 0x1b90c7e5, 0xcfb5d015, 0x08c994c8, 0x3b7bdf93, 0xa3ade957,
+    0x8f7020e5, 0x3311d8f2, 0x3384b560, 0x0debb563, 0x94af3d50, 0x48859f44, 0x7236b7f6, 0x3bdd81b6,
+    0x9d43c3fd, 0x8238d612, 0x3016849d, 0x15b72165, 0x6e4d1f62, 0x1e34be77, 0x36ea958f, 0x1f4e8958,
+    0x5bcecfd6, 0x41d659f2, 0x5d170a0a, 0xc1fd280a, 0x93828554, 0x22dc3332, 0x34fc72d9, 0x05bf949b,
+    0x57944dd5, 0x3d1196c2, 0xc0f92b68, 0xfedaa48d, 0xd372a577, 0x6abb7bee, 0xf125b212, 0x7acdd4c0,
+    0xf79a8657, 0xc49d0ae9, 0x252af132, 0xc3c78568, 0x95d55ad9, 0x45348b2a, 0x5da29da8, 0xa3cdf0f4,
+    0xe87cd89e, 0xd200fbd1, 0x451b40b9, 0xa7add158, 0x2e154f52, 0x70338be0, 0x83bae28a, 0x2f6ac421,
+    0x6942c0fd, 0xee73b90d, 0x766d9b11, 0x1d89d885, 0x5f98b6ca, 0x165bb744, 0xe953feef, 0x86d3dc11,
+    0x285ef829, 0x1dc33a44, 0xd2668050, 0x777f17e1, 0xbcd7fe1e, 0xe90c4043, 0x93107795, 0x65155a0f,
+    0x71c58b13, 0x2d4a86d6, 0x5272bb2b, 0x621d9655, 0xad9daaab, 0x95fdbf7d, 0xb85446db, 0x8b682b43,
+    0x033bcb1c, 0xfffd2bf8, 0xba1874a8, 0xe79daee0, 0xa45dafb2, 0x0c8f1d1f, 0x32f67cea, 0x51b5b4b3,
+    0x4bca5fdf, 0x4d905f0e, 0x0fcd6ebb, 0x419eaed9, 0x41159891, 0x871cbff0, 0xc75183d4, 0x5758cb1e,
+    0x59f2cb10, 0xef9799b0, 0x2a6da5ac, 0x1a2fabda, 0x307da7d4, 0x3994dd3e, 0x76ca735e, 0x5d5037c8,
+    0xce43fbc3, 0x5c31b21a, 0x1995af78, 0xb45af4c5, 0xa71085bd, 0xb76d1b69, 0x8079bea3, 0xc45e00c3,
+    0x52fa5704, 0x070194ba, 0x109d107b, 0x394a5550, 0x2fa61d69, 0x219f542f, 0xcdfcf60a, 0x4f4cfba6,
+    0xd249e251, 0x6d6363ec, 0xc79798e8, 0x5ea1406d, 0xd74d05ab, 0xa260bc7d, 0x4f83c44f, 0x78ed53dc,
+    0x74812942, 0x95fb8c58, 0x793eab34, 0xbbab1515, 0x43d89eb8, 0x9d2e9ba3, 0xd6551f21, 0x911b51f9,
+    0x28276c0d, 0xfbc86bed, 0x73e7bfbd, 0xa7fe6815, 0x18a6ac2d, 0x103d0563, 0x4dfd7117, 0x715ba544,
+    0x44ae863b, 0xa6812ef2, 0xc0696b84, 0x9c30ba1e, 0x3636106f, 0xf8631005, 0xb1d6b73c, 0xbe0be969,
+    0x73861aa1, 0xcb54dcf0, 0x93fd1dd8, 0xe13d280b, 0xefeaf3a7, 0xe80e9099, 0x42460aa1, 0x966d97d8,
+    0x4b21247b, 0xc643ec9c, 0xa7953e63, 0xe231368d, 0x934551c6, 0x411e185b, 0xd3b84c7a, 0xb19c5c0d,
+    0xe45465fd, 0x8bf42256, 0xc08bfb6f, 0x60c1fb7e, 0x0313971f, 0x0d48b9af, 0x58200e59, 0x46d5476f,
+    0x551cc1dd, 0x6005e603, 0x5ec72578, 0x846a1008, 0x8f0465c8, 0x141c1013, 0xa4ec7612, 0xea40b549,
+    0x2d04097b, 0x34edde27, 0x07aa7cd7, 0xbeb13381, 0xde1e7518, 0x17f292f2, 0x2a7f1306, 0x6a298240,
+    0xaf8389ed, 0xfed3021d, 0x62c49175, 0x99377a23, 0x001e536c, 0xb5fa69b0, 0x6bc49e2b, 0x6a4fb8fd,
+    0x43b3da05, 0xada65034, 0xa397e5fe, 0x96e466d7, 0x1c986fd7, 0x5697cd39, 0xccd2e505, 0x504f15b6,
+    0x3c398afc, 0x7072ac20, 0xad36c864, 0x3a7b1688, 0x3667a592, 0x29a023e0, 0x2b4e791a, 0x0eea3ecf,
+    0xb254c95a, 0xcaea0f8a, 0x520e49a0, 0xae1447e7, 0xe48bd90f, 0xe1871357, 0xb259052d, 0xbf5597c7,
+    0x57e70d26, 0x38c398de, 0xf20c9c51, 0xe3b40044, 0xfb5e979b, 0xea4594d9, 0x82e69c02, 0xee52e400,
+    0xeb6cd11a, 0xe0afe359, 0xbdbea6b3, 0xd1240754, 0xa39d6c4a, 0x61dc8029, 0x6b9d0445, 0xc02a6ae4,
+    0xbcb90180, 0x0d81869d, 0x6a4dafc3, 0xd23c166a, 0xd633638d, 0x349ce44f, 0x582d452a, 0x1f5678dd,
+    0xc24dac59, 0xf945c3fb, 0xc56542be, 0xd1d686fb, 0x68c56f80, 0x08b34f2e, 0x823cbecc, 0x6bbf03e5,
+    0xbfa8f6e1, 0x9ae8d43d, 0xa8eb0687, 0xdb72e9af, 0xde7955fa, 0x4d2627f2, 0x7a48cea9, 0xe9609357,
+    0x0a78a5fb, 0x03ffd52a, 0xe15a34a2, 0x7b42a6a3, 0x6b2426f0, 0x70f9af67, 0x66828178, 0x861f563e,
+    0xc6e5b7db, 0x90a1c115, 0x3e6f705e, 0x418d8e8f, 0xf801e771, 0x39b1e22b, 0x9a6df830, 0x0ba74764,
+    0xc82ee28e, 0x9824a21c, 0x6342ccc6, 0xef668245, 0x025cdcaa, 0xfe0404ef, 0x05d07536, 0x63a4084e,
+    0x372ecf77, 0x4186bcf1, 0x0e90a286, 0x05dda352, 0x29ffc070, 0x79b3555d, 0x4a742b4a, 0x05d87159,
+    0xb69e39e8, 0xcd3597f9, 0xf135aef2, 0xfa1270b5, 0xedd59c62, 0x7a943696, 0x3c1fe10f, 0xbebb556b,
+    0x599ae3fb, 0x612ec913, 0x1a9ef6df, 0x8b4b9fad, 0xb0992867, 0x18ded730, 0x54be436f, 0x314c31fe,
+    0x91164a64, 0x2f30cfa5, 0x8bbdadd6, 0xe126dc76, 0xc817589b, 0x5924eee8, 0x222c2321, 0x99cfdeb8,
+    0x55b1d43d, 0x38952ee8, 0xc20e5246, 0x69c8b7d9, 0x6989b699, 0x446e4842, 0x1148925f, 0xc7a6c820,
+    0x0f0029f7, 0x12a9fb62, 0x964e80a7, 0x3e1a338e, 0x87444cbd, 0xe1a13f86, 0x815870d6, 0x17820637,
+    0xe1606c36, 0xfcb32c05, 0x58ea2554, 0xb3eaf91a, 0x0fdf17ae, 0x03b494b1, 0xd2f07e84, 0xeac4159b,
+    0x27aabb8f, 0x7fe2c6cc, 0x9964ffb7, 0x6142a312, 0xfb7caf28, 0x33b3f856, 0x716a4c29, 0x2bde7b96,
+    0x238a5bd9, 0x361b5c01, 0xbac3297f, 0x59a8cc67, 0xd9ab88d1, 0x41646e40, 0x5821f6c2, 0xdbd23651,
+    0x81eac02a, 0xf135bd77, 0x1ade8353, 0x80a91c4e, 0xacefd985, 0xd4a7db49, 0xce0db8b8, 0xd8366d5f,
+    0x2c949f83, 0x0400fb74, 0xde86b57c, 0xb446306c, 0x4deb57d2, 0xb7e766b1, 0x36a8e825, 0x1f763fe4,
+    0xbe2f23ef, 0xf1e05f15, 0xa2a00c3b, 0xdc862502, 0x0814be70, 0x3a9e53d2, 0x96a11619, 0x1fa27c3b,
+    0x8bd16120, 0xbf2c41bc, 0xcf55acbd, 0x96963dd8, 0x57c60949, 0xf37b7f38, 0x96df2487, 0xa1c5ea92,
+    0x1281667e, 0xfe0a4981, 0xfad79a2e, 0xca1018d3, 0x648962a4, 0x87337bc9, 0x6fd3ece0, 0xb63b1d78,
+    0xcd516ba9, 0x8d4ef7c5, 0xb9a71cf9, 0x676522a3, 0x982c68f2, 0x0099ec5d, 0x17640332, 0xdba86817,
+    0x9a9d02d0, 0x3859c4ba, 0x20757698, 0x51bb685d, 0xbc268ebc, 0x3ecfebbb, 0x9f4bbe09, 0x3b7ccebc,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000166153499473114484112975882535043072 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afd, 0xbfd36bf5,
+    0x00000000,
+    0xe2c39904, 0x2fbab2b0, 0xef934998, 0x7c0ee88c, 0x13731299, 0x66259537, 0x8fd54188, 0xf7b0df0f,
+    0x786f581f, 0x78c4ebc6, 0x71d22fc3, 0xf7d7e51e, 0x0f212c76, 0x1e8c1533, 0x26d49daa, 0xe7795a4f,
+    0xfae72c88, 0x0556fb5b, 0x4743d290, 0x89bc09c3, 0xb8c805fa, 0x02f2270f, 0xb27e9adf, 0xd30aa244,
+    0x8251d06f, 0xe44ec936, 0x8396fe77, 0x379e613f, 0x7200c6d3, 0x79ad47df, 0x55c9d4b8, 0xfbbcb350,
+    0x4e7978b5, 0x10891712, 0x8e14aefe, 0xee9fdb6f, 0xdbd4f801, 0x7b77973b, 0xe7838e8b, 0xe6cf827b,
+    0x5df52715, 0xf0214f53, 0x200862d2, 0x017bce24, 0x3eb38a63, 0x56b32c72, 0xdf3e3c4f, 0x65b4c935,
+    0xecb7de86, 0xbcd1f3b4, 0x7c5e7594, 0x62a96372, 0x154cb007, 0x1a930d73, 0x4c09db9f, 0x97a6449d,
+    0x300eaccf, 0x61fe2bc4, 0x5af47f89, 0x6429768f, 0xe37b6898, 0xfaba51cc, 0x001630c6, 0x299a57fd,
+    0x51606102, 0x1f67b9ff, 0xa931d825, 0x6ee22835, 0x975256da, 0x11eca48a, 0x0c07dc6f, 0xfd5f6776,
+    0x3765bff1, 0x556de5de, 0x1af6fe92, 0x6837dc27, 0x957135d2, 0x3cbf78c8, 0x8f8ec297, 0x85167f1c,
+    0xfc5e1439, 0x24f915a1, 0xabdd1d77, 0xb4d8e059, 0xedb2636d, 0x93d3701b, 0x08456a6b, 0x3cc5d483,
+    0xeadcca7b, 0x33fc10aa, 0x745d49b2, 0x0e72b846, 0xe2e1a279, 0x1349d9c9, 0xb96f8539, 0x09d9479a,
+    0x96d40fb6, 0xb7a8f47f, 0x9f3b5d63, 0x00f00db0, 0x8c822edd, 0x709b210d, 0x1956278e, 0x9ea594e8,
+    0x243c4510, 0x4aa4ad43, 0xf6fa1d4f, 0x2227ceae, 0x4ef490c0, 0xf1e49f31, 0x23eae197, 0x4ca256be,
+    0x9f936974, 0x8fc9db39, 0x8117c79c, 0x443b2cb5, 0x95aaf225, 0xe58d8a76, 0x2a07b4d7, 0x866d22db,
+    0x18c21fd1, 0x24d2a2d9, 0x92cbdff2, 0xa1170cb9, 0xf6a70546, 0x8a7b0baf, 0xb78b4418, 0x4be9a35c,
+    0x5d386084, 0x1e40994d, 0x7aed8a8f, 0xfaf0dcd5, 0x8be58854, 0xda717d01, 0x5291e68d, 0x386a1d07,
+    0x8cebf17b, 0x816ef947, 0xc649246d, 0x5c049bca, 0x8892e795, 0xc049d301, 0x7f227e53, 0xd321e5ed,
+    0xdc327e1a, 0x2f3ddba6, 0x66e47c1e, 0xed9fb162, 0x899af5ff, 0xc022c645, 0x73ae977b, 0x4c9c436a,
+    0x6a052f10, 0x124dae0d, 0x74c87bf1, 0xc9622369, 0x58fa50c1, 0xd6c4b5fa, 0xff5049b3, 0xe55d2d82,
+    0xb6e713b0, 0xa9c0d759, 0xd143860b, 0xa6a74d80, 0xb1485a73, 0x50a983e2, 0x3e0769f4, 0x741eed0e,
+    0x1fcee02e, 0xd33d48ca, 0x55c1f579, 0xa7382019, 0xa6623635, 0x277b8995, 0x956f2ccb, 0x97c6ea8d,
+    0x260a4308, 0x3902e5d2, 0xad09c23d, 0x9c86d779, 0xa5cc38e2, 0xf36ff0ec, 0xf8fde1cd, 0x9a350c0c,
+    0xbda60b59, 0x87bf0c2d, 0x31d53d23, 0x6cafc8c1, 0xacab2431, 0xa2e552fa, 0xcba6fe1d, 0xfe48804d,
+    0x7352f3db, 0x12ddfec3, 0xb3e70b70, 0xc5225db5, 0x0d7d8abd, 0x55692378, 0x0dd4ef32, 0x3f3f5713,
+    0x557021ad, 0x50427b57, 0x9330512a, 0x2eb5ff70, 0x3410c077, 0xc32ea879, 0x04f36784, 0x6c6df740,
+    0x44ca9a15, 0xf5d092f3, 0xc0376666, 0xc43b206e, 0xd8584306, 0xd3de9ce3, 0x387349c9, 0x2c320c03,
+    0xbaca791a, 0xa576e0d5, 0x53ab525b, 0x4d7643a8, 0x86075564, 0xbe1c41e4, 0xde291656, 0x47ce8635,
+    0x7bbd1f8c, 0x3dff4ef2, 0xc42cd721, 0x10acf753, 0xd84993a8, 0x6cad84c0, 0x0f6f0b8e, 0x544a3be3,
+    0x8ffc2e46, 0x02dd52b8, 0x72b07b43, 0xcacc0fd5, 0xd7e51fdb, 0xae2065d5, 0x0e498f96, 0xd7449933,
+    0x16016806, 0x0a9429e2, 0xd39cecc1, 0x70949d3f, 0x341eed0b, 0xab756ad7, 0xdafaaad2, 0xe13b00f2,
+    0x0df824a4, 0xbe0a1d22, 0x5c519b52, 0x26844756, 0xc71411e5, 0x0d37e523, 0x211e8848, 0x16e58d32,
+    0x2a7674f3, 0x009f6fa5, 0xcdb2cb88, 0x4bbb66a3, 0x93ca751e, 0x5a0b8ebf, 0xfcceeb2b, 0xe426d649,
+    0x8374c98c, 0x347aaf74, 0xab30ff9a, 0x07a901ac, 0xaebdf2b1, 0xbb940344, 0xd9401ade, 0x8d125e7f,
+    0x1de26e20, 0xf699c39a, 0xde93fc7a, 0x0c050d6e, 0x020f91cc, 0x817a4337, 0xb1e9cc7e, 0x8c509547,
+    0xd144c89d, 0x9f6bf2a2, 0x8e2d5e96, 0x3b580c15, 0xe00f36ad, 0xc66bb0ac, 0x0a9aa0b5, 0x2d5f0fe6,
+    0xa2683274, 0xb33a8ab8, 0xd861a7f8, 0x27561c41, 0x499a04dd, 0x0effb985, 0x9ad871e0, 0x8e968270,
+    0xb2c60186, 0xca1f683f, 0x860a3c60, 0xd51f5e1d, 0x934db89d, 0x34a79710, 0x78d80094, 0x22bd21d3,
+    0xd6d6cacd, 0xab697bdf, 0xabc1754e, 0xc79666b9, 0x478a2c59, 0xdc0e17c6, 0x917652b1, 0xdbfb7e68,
+    0xfcadf270, 0x4ce1e487, 0xb2f0d5ed, 0x4e0ac248, 0xf9cbe8eb, 0x1dd2bddc, 0x3ccce9b3, 0x4e3ea1dd,
+    0x78371a2c, 0xde671129, 0x3a62ec80, 0x85612309, 0x12038e78, 0x99a3e17a, 0xae0ac4b5, 0xaa36a6a1,
+    0xcc4eb329, 0x6ee677ff, 0x68484e0c, 0x46517677, 0xd34b7013, 0xee4b33b0, 0x8a481af7, 0x83df5bf0,
+    0x3bc23ab9, 0xffe7f7d0, 0x84b2c0c6, 0x1eaf080c, 0xa9d3451a, 0xb779ced1, 0xd32b0791, 0xbe6558b8,
+    0xe70c0231, 0xc43ff5dd, 0xa40b94ff, 0x019202cd, 0xd8226097, 0x864441fe, 0x0dd8be65, 0x63b07e04,
+    0xae2c0654, 0x4b513bc4, 0x8a936ae7, 0xf20afb47, 0x27d667d9, 0x67b618fa, 0x5d0e4c13, 0xf0a070a4,
+    0x6adb981d, 0xd827fba5, 0xd12a512a, 0xa3c8778a, 0xbef7a0b7, 0x8fa9bfda, 0xfd2208e4, 0x642cd51a,
+    0x39b323f4, 0x94c63ce8, 0xa4d911bb, 0x79571fdc, 0xffa134ac, 0x91f5a5a7, 0x77db0518, 0xa00eb91d,
+    0xf0c57082, 0x85fe077c, 0x526aa698, 0xd1575e59, 0x41439bd4, 0xb27d4f05, 0x91c0e714, 0x7575ea82,
+    0x9df1de5f, 0xeb31c589, 0x3afb1e77, 0x272479e1, 0xe1983c76, 0x5253736d, 0xe62add27, 0x85e5ff5b,
+    0x22f834b9, 0xc74106a6, 0x1b6cecc3, 0xa1c1b24b, 0x0b6080de, 0xf52626e4, 0x073a5adb, 0xca379471,
+    0x9ebaec9c, 0x593e88f6, 0xb25c267b, 0x090379a5, 0xf82c23e1, 0x2e1e89f6, 0x29bb5ac1, 0xa8be225b,
+    0x53c3b935, 0x5dacae70, 0xd7813f27, 0xd58b4d56, 0xeb943fb2, 0xde9a6e16, 0xd7661963, 0x3822524b,
+    0xa03af588, 0x8c04d837, 0x22bd8aee, 0xaab4084e, 0xc1cd73c6, 0x716bd48d, 0xa9ab7922, 0x78673bd3,
+    0x52fd4f94, 0xd269f183, 0xb3d51689, 0xe268e7ef, 0xd275e1a5, 0x85d8ccaf, 0x6b70528f, 0xeee92635,
+    0xf18a2169, 0xf685fa1e, 0x9941e2d5, 0xc96f16e3, 0xe4f67df3, 0xbee02e96, 0x2ac0648d, 0xed0ebd94,
+    0x8bc6ad72, 0x4e34c825, 0x68b674f6, 0xafbc99c7, 0x42c229a3, 0x569d7399, 0x3a4fdc66, 0x2b915481,
+    0x1d4f0180, 0xe51e3446, 0xc7039b94, 0xa399d853, 0x8b1e08ed, 0x27fd7306, 0xdd1b8289, 0x6c248407,
+    0x4b66846d, 0x89282210, 0x3bcfb2b9, 0x81f7f5ec, 0x48d563e9, 0xf909df63, 0xda07367d, 0x41aa472c,
+    0xdc7677ba, 0x7590319b, 0xb568f1d9, 0xd8dbbfcb, 0xd794ff18, 0x0d7358c0, 0x146e0095, 0x6252d664,
+    0xa1b9c3b7, 0x1e98ec59, 0x46299288, 0x53e3b42a, 0x77d5c91f, 0xbe9b7ca2, 0x4219e814, 0x9e38c0b1,
+    0x202b6f52, 0x888c4dbc, 0xcfc10076, 0x8951192d, 0x7f4a4a51, 0x7298a22e, 0x8572af9e, 0xcbac18e0,
+    0xb2df5a5f, 0x9412059a, 0x430736d0, 0x2b810c9e, 0x9c6dce72, 0x7218d0ce, 0x70f30493, 0x02c495ae,
+    0x5faf0e86, 0x042cb6be, 0x35215e0a, 0x920188ac, 0xc7db623b, 0xafbc1bbf, 0x9d15d5b1, 0xcb151396,
+    0x717c4502, 0x57355ed2, 0xc338d5ae, 0xaf7d61fa, 0xcff8a805, 0xcc46f882, 0xed05b649, 0x74f62b3a,
+    0x355f8abc, 0xc138d69b, 0xd94bdd61, 0x815c8e7d, 0x333c618b, 0x35511296, 0x7dcc5791, 0x1b559313,
+    0x596891cd, 0x84e64cc2, 0xc90d4a62, 0x88abf4df, 0x50202771, 0xc3093b5e, 0xa3d69226, 0x598cb099,
+    0x7d93051d, 0xe92b8b40, 0x0744684c, 0xacc3249f, 0x1d517ee7, 0xee610c9f, 0x3be061e2, 0x0e801597,
+    0xaa81f745, 0x0713fd73, 0x702561cc, 0xb3b7533e, 0x6f2a6c32, 0x3979bb90, 0x905a487e, 0x9de44969,
+    0x406f4646, 0x56b4beaf, 0x0d125968, 0x2de843c0, 0x8af019e2, 0x3242ea8c, 0xd754408e, 0xc116d460,
+    0xc3a86a29, 0xee3ffbd5, 0x9a6332c6, 0xa4f56480, 0x44021761, 0x3c01f251, 0x7882e2d9, 0x8a3e7614,
+    0x7803f450, 0xc6b19f3c, 0xf1d77eec, 0xfd1b3b7b, 0x9bc3c6b2, 0xf2828dad, 0x08ef2595, 0x560e490c,
+    0xfa0eb18f, 0x3b68e9ae, 0xa176d43b, 0x641f615d, 0x71ecc506, 0x73f98121, 0xf4a8a6c2, 0xeb2cbdf1,
+    0x6d02eb77, 0x06e0796f, 0xf16de8c9, 0x38865573, 0x16ca9a31, 0xf30e06a6, 0xcc026d64, 0x04a7fdb9,
+    0xa8d1c124, 0xcdf9921f, 0xc51a18ef, 0x08c3b405, 0xcd0991b9, 0x136add01, 0x87a87515, 0x0d3feadd,
+    0x407b4ab4, 0xa96bbd07, 0x1f6ed8e0, 0x95473e0d, 0x96b2c241, 0x31cb8b19, 0xf45bd290, 0x933e52a4,
+    0xfba2ea6d, 0xea50322b, 0x951a712c, 0xc6dfb9d1, 0x124caea4, 0x065ae5d9, 0x697c4587, 0x2fcd7efd,
+    0x8892418a, 0xae46482f, 0x96ec32bd, 0xbd012c94, 0xb9cda576, 0x01ac4d3e, 0x823748a7, 0x80b45db7,
+    0x12d7bbc8, 0x6ef3fbcf, 0xe1dcf507, 0x1e24d2b1, 0x393e91ab, 0x2b5100fa, 0xaebea004, 0x3a074c3f,
+    0xcce7bac8, 0x58098a4b, 0x393eb6aa, 0xfbcb2e02, 0x85fb6ec5, 0x71b9d842, 0x02d88a40, 0x79be62c1,
+    0x61a51e75, 0xaa0f4214, 0xd6ab58ee, 0x5e7495ce, 0x2442474f, 0x258d22df, 0x9b247f5f, 0xc773bae7,
+    0xde3c7e06, 0xbde7ef53, 0x62b5b9c8, 0xce865687, 0x7c4f3c8a, 0xd1bd4ccb, 0xd63d65b3, 0xcd044129,
+    0x269143e1, 0x5bad7b32, 0x01a2a60a, 0x8c993461, 0xafa0b4e4, 0x2bdbd56b, 0x52c3202f, 0x8f72ff1a,
+    0xc0a13c93, 0x19033973, 0xa9b1caa7, 0xba80be11, 0xeef1d856, 0x7d7c7d9d, 0x789fe0d4, 0x88b59f83,
+    0x3c36b376, 0x455fc14a, 0x75b60aeb, 0xa0a4a224, 0x10e5a34e, 0xe8637784, 0x790f5d33, 0x34781156,
+    0x6cf0e464, 0x7b4ffaa3, 0x4a267a0e, 0xb445de5b, 0xd36be49d, 0x89ccd708, 0x2f877448, 0xd25d3575,
+    0x6429aec2, 0x016238bd, 0xf617d311, 0xea20e77c, 0x6905c510, 0x3ef66e80, 0x6568858f, 0x71aab727,
+    0x8c4b7cb6, 0x670f87e5, 0xabf4d9ec, 0xa04638e1, 0x2d225f18, 0x079c4dfb, 0x9cee9a4e, 0xe501b492,
+    0xa8ffdb6d, 0xe47781ab, 0xeed06789, 0x2c81e0ca, 0x8c90a0de, 0x332f7659, 0xd2b7a6f0, 0x06a6c033,
+    0x2a660feb, 0x81ae2ff4, 0x75d794da, 0x077d90ed, 0xe2391399, 0xe778a2d0, 0x36e31d13, 0x853ef75c,
+    0xeb01c647, 0xa6e39d8e, 0x152321ab, 0x15d5ffed, 0x20c7f2b9, 0xcaa945b3, 0x3146c17a, 0xea7a60cd,
+    0xe44fb0c8, 0x37651671, 0x44caf82f, 0xaa8d84a9, 0xc5329dd6, 0x521a765e, 0x58bed854, 0x146c3037,
+    0x4862fc14, 0x7ddae199, 0x2826f27d, 0x28df6ab8, 0xe8f0d130, 0xfca3dec8, 0x727ae511, 0x14c05e8a,
+    0x0d2446d0, 0xc52a26e1, 0x896c72d9, 0x3e837690, 0x5bdd751b, 0x11987814, 0xc71c753a, 0x420aeaab,
+    0xbdbdaeaf, 0x60f375fe, 0x23e1990f, 0xf5e9a3df, 0x147af54d, 0x2bbe7b83, 0x6d5787d6, 0x2e3ff7a8,
+    0x2e4f43a2, 0x1814ea71, 0xffba0bd2, 0x0d687679, 0xa26884b9, 0x2bf0eec8, 0x781813f7, 0x74c008e0,
+    0x2fb47d74, 0xee8434f0, 0x70461b0b, 0x9419da88, 0x17e07deb, 0xe388ec6b, 0x18c0f6a8, 0xf510d643,
+    0x0d871c75, 0x4b33d882, 0x39844fff, 0xb05486a7, 0xb854666a, 0xe1c6aba1, 0x660c897b, 0x86da6c43,
+    0x1209ab95, 0x739e6025, 0x1e447e93, 0x1737dac9, 0xede81e1f, 0x5c3fb577, 0xa3afe105, 0xf49846e3,
+    0x2b5ce4db, 0xb8e2d0c1, 0xd7dc5ab3, 0x93082b38, 0x50d59d6d, 0x72fe429c, 0xa667e359, 0x093f9876,
+    0x0070caf1, 0xc4036fd9, 0x12159038, 0xc409eebc, 0x520e1139, 0x7ebb3661, 0x0d1d12b4, 0x400cddf3,
+    0xd8b08be1, 0x9dcd9c9c, 0xe505149a, 0xe2b33af3, 0x06f05b98, 0x5eca07e9, 0xb5456c67, 0x71fa2cf4,
+    0x2cbc8229, 0xddc34148, 0x4f93010d, 0x2558e9e6, 0xd3de2f23, 0x0f623cc6, 0xcb3dc23a, 0x816590d2,
+    0x5d4cd7f2, 0x698b5463, 0x4669b1c6, 0xadcccc89, 0xb2fd2484, 0x26323059, 0xc495f234, 0xccc24b32,
+    0x0966470d, 0x4b2eadc3, 0x3d7a4f35, 0x1b8f00ee, 0x4f44ca0b, 0xb4e2d50f, 0x9c5ed9cc, 0x55fe5cf3,
+    0x3ba5eefc, 0x4824e9ba, 0xdf71435c, 0x9993548a, 0x3a404d29, 0x3305d044, 0x500a218f, 0xcf23ac99,
+    0xf4f214f1, 0x0f2a6c47, 0x7cece25d, 0xe3c1eb2b, 0x4ce1b80b, 0x7159627b, 0x1858b9ab, 0xcad810e7,
+    0x126b97d6, 0xabf336c8, 0xdc36aa6a, 0x8c9d8705, 0xeea34647, 0x7dc533f9, 0x9792ef15, 0x0779444d,
+    0x19034151, 0x49d0ccca, 0x32b8659a, 0x35e5a8d6, 0x9ae94258, 0x23e76ee8, 0x3da99f2d, 0x2350da09,
+    0xd36016f9, 0x9e7adefc, 0x2496ff0f, 0x549abe7a, 0x76cd6590, 0xd8dc742a, 0x6a1d2afe, 0x0ef01ce3,
+    0xea8f4f44, 0x38415b0c, 0x8586e3fb, 0xaf623976, 0x7a912b8f, 0x10b92e8e, 0x64d3be1c, 0xd1098155,
+    0xe48311c1, 0x149d2f76, 0x1f487b8f, 0x82a49d31, 0xba4c5ab2, 0x0be6a4c5, 0x4921a9b0, 0x9e084885,
+    0xf28f8609, 0xf3ed118c, 0xf8584953, 0x0d71c55a, 0xbd3e212b, 0x7826ac4c, 0x456696ad, 0x7630fafd,
+    0x3521a8dc, 0xff7ea7e0, 0xf5582267, 0x14153832, 0x8546d496, 0x693f328e, 0x937890d2, 0xda3884ce,
+    0xb3100196, 0x15d78411, 0x05760d7f, 0x3247d752, 0x9659d8a1, 0xd050b2ab, 0x67743646, 0xf09e5f16,
+    0xb2752e6d, 0x85c5f519, 0x99c0e4ec, 0x1085e4b7, 0x03385f82, 0xdea6a40b, 0x4c356658, 0x960ded23,
+    0xc7a5fd3a, 0x32c1b5a0, 0xf68908ea, 0x7fe19838, 0x2f33e379, 0x7edb90bd, 0xc9e496ee, 0xeff696d2,
+    0xa9d52f8e, 0xf0502396, 0x505679b7, 0x01ae39e7, 0x5664e531, 0x6a72c5da, 0xfb5fcb59, 0x4a250377,
+    0x002c2382, 0x4ae3691b, 0xf97aaaa5, 0x6c71c17f, 0xc856cfd7, 0xec81bdeb, 0x1ac0b70a, 0x2977a9e3,
+    0x69065279, 0xc6da1a1a, 0xb4f67200, 0xb17cb1af, 0x8f86443d, 0x89ad3d12, 0x8849353a, 0xd15405dc,
+    0xbb5be750, 0xb2d885f7, 0xae271f6c, 0x120acccd, 0x44e0ef9d, 0x0cd36feb, 0xbf880b6e, 0xe1b18608,
+    0x26924eae, 0x00410010, 0xc28b6b3c, 0xe20d236b, 0xd8f94fbb, 0xde092d80, 0x522d4a62, 0xc4a0fab2,
+    0x200fa973, 0x92b46469, 0x58fe5b52, 0xa3b68956, 0x8511e838, 0x6b02e75b, 0x97abf9d1, 0xdc5d456b,
+    0x325a5b7d, 0x0419d7a3, 0xec88a38d, 0xb24b1e1e, 0x2806935a, 0xb0b91f26, 0xe31439db, 0x0c921bd2,
+    0xd00e51e4, 0xc965841c, 0x75f3c93a, 0xeae6d426, 0x3344712b, 0x1852dda2, 0xc04dece2, 0x685619d4,
+    0x52c55350, 0x4996efc3, 0x124149af, 0x7d99d2bb, 0xb8271145, 0x8c62aa67, 0x88e23553, 0x4a2bde92,
+    0xf53d57bc, 0x026e089b, 0x23327903, 0xc84f4c84, 0x702f6d3d, 0x69801dc8, 0x5d0d31ea, 0x606cbe31,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000083076749736557242056487941267521536 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257e, 0xdfe9b5fa,
+    0x00000000,
+    0xaa5e9dc5, 0x288aa89e, 0xfa450e09, 0x2500c3ec, 0x3e7cf075, 0xdb1b767f, 0xf18256b0, 0x635e1798,
+    0x6dc85208, 0x96ec85fe, 0x88beb23e, 0x8d3287ab, 0x7235bc0c, 0xc711abc8, 0x315d4d1a, 0x942a828e,
+    0xf6deb901, 0xb0d546a0, 0x0dd086cd, 0x1b132ca2, 0x525229ac, 0x1ab3305d, 0x7acd16c1, 0xf18e61bb,
+    0x199d1e19, 0xbe91682e, 0x7a2b62ed, 0xd8f6cddd, 0x4075c1ca, 0x2fe86e74, 0x35698b9b, 0x52f53bda,
+    0xc82eb0ac, 0xb0ee7e5f, 0x09f1f701, 0x79093bd1, 0x626d01f4, 0xe8f47b9e, 0xea61270b, 0x0d92ea98,
+    0x12c8e0d9, 0x0b2c8dcb, 0x92236b35, 0xbfd4fb0c, 0x31cdde58, 0xfad52627, 0x9af15d3c, 0x3e784315,
+    0x4f767ec4, 0x4cce2d42, 0x61af1b80, 0x7a1234dd, 0xea74f61a, 0x974e6ab8, 0x0ff99ad0, 0x551001c5,
+    0xa27a40bd, 0x100ae72d, 0x5e0cf55c, 0xe2890a03, 0x066580d7, 0x73693466, 0x651211f6, 0xed324ff1,
+    0x990ccc9a, 0x9fb4e851, 0x7cf5bbf3, 0xb5f77b89, 0x85c11259, 0x509dc84c, 0x3ea5881d, 0x5265d6ff,
+    0x3d4233c4, 0xf96eb95d, 0xb044b7d0, 0x541f4ee0, 0xdc84baba, 0xf4e3b366, 0x18732ccc, 0xde9b9934,
+    0x1449209e, 0x6233bdbe, 0x4ffdcf63, 0xa48a230d, 0xa0e6650f, 0x20760a71, 0x5a6dfb9e, 0x1c3a4a11,
+    0xf672c770, 0xf3cf67c3, 0x9e0fae27, 0x4eb1e353, 0xf9dc6e45, 0xc2159894, 0xd2c1be01, 0x07200f98,
+    0x6c498004, 0x64193090, 0xbde49b1c, 0xd76fef3c, 0xcef9548b, 0x054039c5, 0xe02fc931, 0x2b7c2322,
+    0x2b970f3f, 0x2b291128, 0x6056f8c3, 0xea6fda23, 0x33e9bee8, 0x2401aa81, 0x243dcc55, 0xdbdceda4,
+    0x4fb619f3, 0xf837bb90, 0xc84272b5, 0x086e250b, 0xb34d474f, 0x5bec9095, 0xd34226e7, 0xb03f9d9f,
+    0x78302a66, 0xe300ca75, 0x01d2b776, 0x69816e0c, 0xc21c7d87, 0x0822b4dd, 0x1dc08406, 0xee0dc4d1,
+    0x22352db7, 0x0c312d66, 0x94d54bc0, 0x55cf7627, 0x6957352b, 0x254946c0, 0x9604d764, 0xcbf23bc1,
+    0xe2df3ff2, 0xf437f2cf, 0x06075189, 0x0f324635, 0x282a10bc, 0x1dcd1616, 0xe554b236, 0xf1d39bed,
+    0x88e64fd2, 0xee252851, 0x48c2da5c, 0x760b59cd, 0x58521baf, 0x335a32c7, 0xf2b18a81, 0x0193875d,
+    0xda94b234, 0x09bf386d, 0x94c3abe8, 0x0e166b7a, 0x16b417d1, 0xeb4d4bda, 0xb1ec2803, 0x926d58fe,
+    0x84a8e53b, 0x2a2f262c, 0x6fe5a476, 0x2e8d044d, 0x88f34b5e, 0x1c16d676, 0x28765b6c, 0xca6d32aa,
+    0x43529421, 0xac3b913d, 0xc7b48c41, 0x6befad69, 0x7d68e957, 0x06b358c5, 0xc2138078, 0xc4464785,
+    0xb53101d9, 0xbfd52311, 0x500b0dc8, 0x1912024d, 0x80eef4db, 0x4db7e0c4, 0x0c2a4713, 0x8366e746,
+    0xa47d76a8, 0xcbf11f33, 0xa299e979, 0xb07a1201, 0xfd6b1f2a, 0xc91795f9, 0xf36148d8, 0x3004746b,
+    0xd61cfea0, 0x8b060f77, 0x97c51f26, 0xd657ac1b, 0xd892c6cc, 0x2631affa, 0x033910ac, 0xc3fdf177,
+    0xdf01e60f, 0xd26400c6, 0x18913bef, 0x1e028518, 0x003d5972, 0xd35146f6, 0x65438d34, 0xe0b7a072,
+    0x959c9f92, 0xdfc819cb, 0xe0a73140, 0x391db30b, 0xab139343, 0x1aca2172, 0x767deab4, 0xfcd5e6bd,
+    0x12a22b93, 0x09690781, 0xcd69b56d, 0xc8af9f47, 0xf4514946, 0x239f40f0, 0x3cd6d23d, 0xa9d4433f,
+    0x9f833482, 0x2765ef2d, 0x20990da1, 0xf7319cd7, 0x9f1e5539, 0xf7abf463, 0x1d7aaf7a, 0x5a3210c7,
+    0x09b88dc2, 0xb8c7a6c0, 0x33edef25, 0x12096809, 0xe52152a7, 0xbee26de8, 0x82f73edc, 0xf7afa9b5,
+    0xfefbb2ad, 0xc9dfa753, 0x2b218a5e, 0xe193732f, 0xd6c879f7, 0x58db59bb, 0x2b221f3f, 0x93ed5f70,
+    0x87a9cd41, 0x990a38db, 0xfca70a22, 0x8fbe3674, 0x2b0f9517, 0x75030abc, 0xe80e310d, 0x1ded4dbd,
+    0xed536b88, 0x15ade155, 0x640cd8d3, 0x1adaa8a3, 0x2d1d24ca, 0x6a2f2658, 0xef42f22d, 0x93162f11,
+    0x0c8b167f, 0xc7730ca4, 0x97b275c0, 0x5dfdf35b, 0xbe14a91a, 0xb7374e27, 0x845807e7, 0x883827f1,
+    0x956c7daa, 0x49003f99, 0xb65f7d82, 0x6b883281, 0x2920c3e1, 0x8589c995, 0x9968fe3e, 0xf3ca9f76,
+    0xbf127278, 0x01d7f61b, 0x88275d33, 0xa8e8a671, 0x7e000e34, 0x648d68fb, 0x45808863, 0x16d03de6,
+    0x3989a6f9, 0xe7a32ee2, 0x4125d765, 0x03832404, 0x2d00174b, 0xb46aa963, 0xd737d4bf, 0xaa5d7696,
+    0x826bb00a, 0x6c8f8d3b, 0x926e38c0, 0x3f00b0e8, 0x681c1bdc, 0x79f1081f, 0x72184d00, 0x782e3c7f,
+    0x2180da59, 0xfbc6de60, 0x03525a65, 0x7cdcae41, 0xe05f0d3a, 0xfa8afd9d, 0x627a0be2, 0xb68635ed,
+    0x07e817a1, 0x10f1534e, 0x3fee0cfe, 0x79ad4102, 0xb2e92aaa, 0xf8321051, 0x40775cdd, 0xdae709a6,
+    0x9d3946bf, 0x0e35d5c2, 0x32cd4e1c, 0xc5e89e31, 0x835ee0e5, 0x78a59c62, 0xeb2f3ff5, 0x27c1ff7b,
+    0xf9cc7e80, 0xaf2b95ac, 0x2440db7a, 0xb72466f1, 0x237b67ef, 0xd46d2ebe, 0x1099aa3a, 0x2022f916,
+    0xb9db69b5, 0x57ea4be1, 0x03d78bc5, 0x6156c2eb, 0x876da06d, 0xcd1affad, 0x3b699ee6, 0x33bdde41,
+    0xbe5ee7a4, 0x2fc68b71, 0xcbd4235c, 0x7ad5a1d9, 0xba0009c3, 0x95ab913d, 0xc5c7356b, 0x55970d66,
+    0x255ef495, 0x5fd97fcf, 0x0a78fd1e, 0x49aeca84, 0x74c74d1e, 0xf3425f9f, 0x4e61cd01, 0x00384594,
+    0xb6ed719e, 0xc5fd64d5, 0x62496028, 0x985886fd, 0xddb1a120, 0x61ddef0e, 0xf7361518, 0x23a8d3b7,
+    0xecc02d89, 0xb4da43ce, 0x6061313a, 0xb7101d49, 0x3a5a7140, 0xf5d46ce9, 0x99a54801, 0x5e5590fc,
+    0xbfe0e5fb, 0xd870b957, 0x08b3c1b2, 0x5c123da9, 0x9158828e, 0x713e2fb6, 0x368ffbd7, 0x7edff25a,
+    0xabdbb274, 0x5ff44bc7, 0x302e63b2, 0xa6ee2011, 0x1cf147cd, 0x0ba74263, 0x12182891, 0xb1c83c72,
+    0xd85eec44, 0x5639c2af, 0xc95af3e4, 0x04c23ece, 0x8da6b0a1, 0xf307f039, 0x9a261238, 0xeda1002e,
+    0xeed1043b, 0x3bcc30b3, 0xf6222dd3, 0x230559da, 0x080e3606, 0xace7d45f, 0xab2d629c, 0xd1739f8f,
+    0x1731bb49, 0x0d774f0e, 0xf458498c, 0x65f547aa, 0x228ba9f1, 0xd84cb406, 0xa93684ba, 0x245004fb,
+    0xb805e99f, 0xf9fb8ea1, 0x79d34144, 0xb9f0dac5, 0x5ea84eaa, 0x9f08bc4e, 0x1d09d066, 0xf0c9c3a6,
+    0x3f270745, 0x9252036b, 0x210632e4, 0xb582dcc7, 0x9a92301c, 0xa427c3e9, 0x32b0910d, 0x13e4b093,
+    0x131db43b, 0x22b36375, 0x150edb95, 0xde5e7317, 0x16509325, 0x6e0407c0, 0x3383f3ba, 0x12ef6545,
+    0xed5db932, 0xad29007a, 0xa17f2005, 0xc3771758, 0x2c590017, 0x0dc96a30, 0x19262b09, 0xb282ecb5,
+    0x57233aed, 0x289e70f6, 0x286d9715, 0xd73c84a8, 0xe62bc269, 0x6e9e404f, 0x80184bfe, 0x6b0e0aec,
+    0xf5c2c147, 0x445e36ed, 0x676d5da5, 0x9a1e92bd, 0xea5ac47d, 0xfd0f4c4c, 0x5aea92dc, 0x68cf44a6,
+    0x6fb499c8, 0x39ed5f5c, 0xb1c2cce0, 0xc02f4b56, 0x8ba68268, 0x7f57558f, 0xb045396a, 0xa0a97a97,
+    0x2d8df9e8, 0x194536e5, 0x7b6b2657, 0x7019f05f, 0xc68159ab, 0xffa87e6f, 0x2f1ea5e5, 0x45138a17,
+    0x33721b59, 0xe34980ef, 0x2384033e, 0xb79d26b5, 0x840193a1, 0x6a78c04d, 0x892f3c20, 0xf9c850ee,
+    0x19fc10dd, 0x1601ab5f, 0x162cf92c, 0xfb5372d7, 0x8e3c3868, 0x21b74298, 0x46194e3a, 0x29b80b93,
+    0x666cdad2, 0x4da400e6, 0xd6d26b7c, 0xfe013a72, 0x00a688ad, 0x1c7d2b1f, 0xc6a8c81a, 0x560eef40,
+    0x41dbed01, 0x197f282a, 0xb3fef689, 0x09a43ae3, 0x9fc2cd20, 0xf45f0129, 0xb6ca4e6d, 0x5d5ca85e,
+    0x994052f8, 0x93b5f03e, 0xf5e4d289, 0xcfa254b1, 0x28abbf62, 0xd9fc86b1, 0x779e9803, 0xbe6e1516,
+    0xbb7ee2e0, 0x03e91662, 0x6f967de1, 0xc12999db, 0xc61eedea, 0xc69091c3, 0xe5c58666, 0x39f52ed0,
+    0xbd51d485, 0x8280125e, 0x408c44bc, 0xaa918341, 0x2d8848cb, 0x3446b098, 0x9e3fc3b7, 0x398897aa,
+    0xb2da25d9, 0x608fa4d4, 0x0ceaf069, 0xdd322cec, 0x3651a9e7, 0xd76d459d, 0xb6d87b0c, 0x84311f76,
+    0x7ef788d2, 0x640c49d1, 0xf99dc24c, 0x835bacd3, 0xcb6a2ebd, 0x6f8a3584, 0xea888372, 0x37cf7596,
+    0x2fb77265, 0x7ecff52a, 0x22d24fde, 0xeb60b121, 0x54200cdc, 0x75357eca, 0x6574bb67, 0x23061767,
+    0xa2890a52, 0xe925210c, 0xb8da586e, 0x6ff08c60, 0x913e2571, 0xf6365ed2, 0xd6f4ad0b, 0xbdacc0ca,
+    0x45ba2ab6, 0x985013d1, 0xce39611d, 0x3b7baec5, 0xd3810372, 0x542a2bae, 0xb988f4b9, 0x21ab82a8,
+    0x6b2f8d5f, 0x8eb87e8d, 0xd1d0789c, 0xf5658893, 0xdfcd1521, 0x6ca99636, 0x43132202, 0xf9dcce99,
+    0xf13bd13b, 0xff920e4b, 0xc052f7c8, 0x51b91bda, 0xc1dbf320, 0x876487b4, 0x64a8b313, 0xc4614f4f,
+    0x10b4a43e, 0xc7fa61ac, 0x46b508f7, 0x70e1e16b, 0x6a3b7592, 0xd2e99fd1, 0x66941b62, 0xb3812282,
+    0xc72e0e62, 0x8ed6c441, 0x3771137f, 0x489ea0a5, 0x693ca5d3, 0xa4fc0b14, 0x46c88e39, 0x04a6d130,
+    0x98640bf6, 0x5154ab54, 0xf591c9de, 0xa80ad061, 0x7807d181, 0x7619fc98, 0x871674d0, 0xf1917cae,
+    0x686797af, 0x242d9c0e, 0x3c75537a, 0xcf0b6f10, 0xf0cbcbee, 0xc4ce0d00, 0x83539578, 0xb7a0b881,
+    0x81fc9a19, 0x76316d59, 0x85fc7e2e, 0x126a4aa6, 0xacd355e6, 0xf83f977c, 0x705c205e, 0x55883de0,
+    0x9b5be86c, 0x0e519f61, 0x062c2232, 0xadb7abe6, 0x0c002841, 0xf245fffa, 0xd00f2ca4, 0xb513134d,
+    0x92bc7e0a, 0x7a85b653, 0x33b08860, 0xfb5d88dd, 0xe99b626b, 0x2cc5830b, 0xb7743568, 0x3e4aa55b,
+    0x86954d03, 0x34162211, 0xdfbb156f, 0xe4ececff, 0xcb30bf06, 0x259885bc, 0x99bcb6df, 0xb979b302,
+    0x1c7cae07, 0xbb5ccf23, 0xa0c0e738, 0xe344420f, 0xbe0be155, 0x14a9ccaa, 0x9df31245, 0x679909e1,
+    0x039440eb, 0x3cb0b0bf, 0x1230cf09, 0x27059508, 0x9f554729, 0x26089d9c, 0x6e6f2391, 0xf665b16e,
+    0xec6bdfe8, 0x8fd42b6a, 0x46fc8b63, 0xb6569be0, 0x7aa77fc0, 0xca3d33e1, 0xeb2348bc, 0xb111a51f,
+    0x53396a83, 0x0a94532a, 0xf4e6963b, 0x5d6b0c2a, 0xec627bad, 0x2a376461, 0x8ab58974, 0x5a65a047,
+    0x0bf9ebf1, 0x72705dff, 0x085e65d7, 0x92d45b91, 0xa4be50c7, 0xa479ba80, 0x6c299fcb, 0x10129d62,
+    0x0189a08b, 0x14ec8924, 0xecaad96c, 0x21c83897, 0x11d8e182, 0xb61bc492, 0x75e77872, 0x23fd436a,
+    0x7b805dc6, 0x0343bc68, 0x515926ec, 0x67e8f56c, 0x1f649fd2, 0x89fe19e0, 0xbd5b611a, 0x83f156fa,
+    0x33e9582c, 0x72131611, 0x3196b4a4, 0x9b3faa90, 0x80127b9d, 0xe6da70e5, 0x9ef9d17a, 0x56bee11d,
+    0x4caa415c, 0xb11071f2, 0x068d581f, 0x3bc52e24, 0xfe7ca0a1, 0x56a5620c, 0x1270dd63, 0xd418c8ee,
+    0xd7bfad19, 0x1e21bb62, 0xeda0089c, 0xdcc78084, 0x90ae9746, 0xdfd5d553, 0x1c9c7ad3, 0xd5e7ebfe,
+    0x1a9b3281, 0x5d10350b, 0xecbd6e3d, 0x53c06ae0, 0x990149e0, 0x028935e0, 0x6d42d525, 0x6f31e26e,
+    0x5e137e4f, 0xd13721d1, 0x2c8f662a, 0x166f0043, 0x700a9027, 0xa91c0600, 0xd75d2dcd, 0x5fac11e9,
+    0xf5c23506, 0xcd269e2c, 0xa38f37b4, 0xd1a4cf08, 0x9f2fea18, 0xeb954d68, 0xf7af1df0, 0x5955a52a,
+    0xef71e1ca, 0xd506e098, 0xa028035e, 0x6fbec37c, 0x833eaffd, 0x09f593b6, 0x4ab536b7, 0xfad179f3,
+    0x785ce9c4, 0x36608154, 0x15d0cfb5, 0xc2584d24, 0xd3042678, 0x0b6bb753, 0x6ee482cb, 0xaffe2104,
+    0xac04c363, 0x1f46b1c6, 0x537f9ac4, 0x0e08c770, 0xcad1b619, 0x6536aebd, 0xfacd7603, 0x08ef269e,
+    0x75314fc8, 0xc57976d6, 0xd363dee7, 0x72069c63, 0x73f363de, 0x90759026, 0x89d73214, 0x301c7be3,
+    0xdf99fc35, 0x13f1dad9, 0xcd91b7a2, 0xe505c338, 0xbbd41f23, 0x5755d8fb, 0xee84c464, 0x883018c1,
+    0xea6a29bc, 0x815dca88, 0xb4f9e480, 0x20fb061d, 0xb631442a, 0x41d4cae0, 0xb126a075, 0xfbc16f68,
+    0xb816daec, 0x16ee55d0, 0xd05496b8, 0x031b07e9, 0xbd370beb, 0x7b32a1b7, 0xd4ba4641, 0xfeb6fee0,
+    0x0c588941, 0xb8e25e8e, 0x2e821e84, 0x2f2209cc, 0xc9e69767, 0xb1348d1c, 0x4135059f, 0x9e46c50a,
+    0x3b6ea9ee, 0xe05e86f7, 0x050226e1, 0x8fc6e4f8, 0xb56f0e69, 0x7a604ae3, 0xa4d377e8, 0xab89831f,
+    0x674b28be, 0xc30ff45c, 0x4b1d1db6, 0xb72996c1, 0xfefcd58a, 0x3276da24, 0xd3bb36c6, 0x174e9db3,
+    0xcbe15ac8, 0xced15200, 0xc4e419fe, 0x3d251180, 0xf667039f, 0x69905122, 0x1305b021, 0x829e5613,
+    0x59362777, 0x02ff1c86, 0x5e5bbe8a, 0x7d2dabd3, 0x283e3c8f, 0x244121f1, 0xfc053f3f, 0x4a8fb857,
+    0x8b6260e4, 0xf49c8627, 0xf21f15f1, 0x1d839800, 0xd562546f, 0x8c42686f, 0xa43a7eff, 0x62e4317d,
+    0x7249b89d, 0x008b9857, 0x81f0147c, 0x19e57a6f, 0x25e65ed3, 0x97b37649, 0x11fac1c8, 0x8db5716e,
+    0x46de8fc8, 0xc477f3aa, 0x62fc9654, 0x7d0f5378, 0xbe098c49, 0x5c9cfe56, 0x2c0bd063, 0x448fcc7f,
+    0x3ccdbf47, 0x053f1b58, 0xeb7cf07e, 0x82ffb891, 0xab8452b7, 0xce942b74, 0x0f7f5a9b, 0xa0977f1b,
+    0x97826851, 0x2f4b92c8, 0x2b683b02, 0xf0a65d95, 0xe96b3e2e, 0x8ad6a0f4, 0xc4a5c608, 0x63fb4618,
+    0xdba41062, 0x6e530dba, 0xc5bf5498, 0x5a409ce6, 0x044cbe4b, 0xb12eface, 0x78eba68d, 0x6d706988,
+    0x826a948d, 0xbcdfaf06, 0x086d106b, 0xf59262bd, 0x4d5556fa, 0x20b8e730, 0xcde19973, 0xaf960a6d,
+    0xcb9a3ca9, 0x0e4d57bb, 0xaf3d2a8d, 0xe40d64d3, 0x3aeb1b0a, 0xd2b83a78, 0x6e899481, 0x5bb62a76,
+    0xb9930bb2, 0x38aa4c8e, 0xe8d651e8, 0x9e70ab41, 0xf86b5a56, 0xd3882742, 0x69fad47f, 0x3e977908,
+    0xa00da92d, 0x52f0d062, 0x19229457, 0x2b11c4c6, 0x9670815a, 0x7df6eee6, 0x517d4b53, 0x903ea752,
+    0xb277bf42, 0xb4bcf77d, 0x344b078c, 0x40187675, 0x065bcc06, 0x95011d2e, 0xc0b68ea0, 0x96d6edee,
+    0x89cdde86, 0x410282e2, 0x628de634, 0x8ef1eaff, 0x52bfe6e3, 0x179e4cc4, 0x132aa247, 0x16d36838,
+    0x4ff6dc8a, 0xfabf26e8, 0xd8e7e75a, 0xe827f6e6, 0xb8ff6c0b, 0x869b2df4, 0x890f71cf, 0xf5e14b4f,
+    0xd4d20f61, 0x69d6dc4b, 0x77b39641, 0xdf37106b, 0x171c659c, 0x3689ba01, 0x1a3c629e, 0x8a050ba5,
+    0x4437bd55, 0x68d6baed, 0x4506de80, 0x791fd27c, 0x2b959495, 0x5cb4646e, 0x85e0f791, 0x844d54c1,
+    0xa6d55469, 0xe5f807cf, 0xcd2928ce, 0x722d8e26, 0x94160d49, 0xd16f9499, 0x67d4ee9f, 0x5a9f7696,
+    0xe4b1aa8b, 0xe7212d6d, 0x6a59db76, 0x3340d596, 0xb7e24495, 0x595a45b0, 0x247a603b, 0xef785b7e,
+    0x17bbc4bb, 0x56f820fd, 0x8eab319d, 0xdfdc51ed, 0xbe7dd8b3, 0x506869ca, 0xf4e9e9e6, 0xdd7aa105,
+    0x778701f9, 0x01b4bfc2, 0x9a5c1c86, 0x145654a9, 0x70663f62, 0xf871a57e, 0x32ab82b1, 0xb3756cd9,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000041538374868278621028243970633760768 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492bf, 0x6ff4dafc,
+    0x00000000,
+    0xd0d75417, 0xe07feee1, 0x072db3c9, 0x59c33d65, 0xdb48a64c, 0x2926c929, 0xeb03b7f6, 0xf8a0fb3a,
+    0xf5c1baa5, 0xf99ca207, 0xf85ab4e2, 0x2c0d13d4, 0x99893800, 0xf0d82adb, 0x1cbf0aa0, 0xb8f0b5b9,
+    0x9b458c49, 0x3b81a491, 0x2381e9e6, 0x0e037993, 0x31e0a0ee, 0x5668afff, 0xb405fdcb, 0x6f8d24ca,
+    0x7febea36, 0x3890689d, 0xab910c4e, 0xcd0532c4, 0x286fe42b, 0x49b55346, 0x4034222c, 0xa5c94704,
+    0xc37f7b4c, 0x8349778d, 0x06e171fa, 0x7d9be088, 0x72f31d36, 0xbceff9d7, 0x1c207070, 0x19d2ab9f,
+    0x6ef6b3da, 0xd8b197c1, 0xcd711169, 0xee218409, 0xab370996, 0xca6e1478, 0xf17857f4, 0xe44051e4,
+    0xbad6a35b, 0x38ba4963, 0x8facda9f, 0x85fbf4af, 0xb7d406fc, 0x96b8ffde, 0x5a552cf6, 0xf671ae9c,
+    0xd0cb5cba, 0x3cb0fe15, 0x7db0d588, 0x4e99df51, 0x3d5f091a, 0x69e161fe, 0x5c38c68c, 0x95f4b195,
+    0x5d343447, 0x7204da69, 0x7ca48d37, 0x343a01c8, 0x480cc62d, 0xd85c6853, 0xbaec4d4d, 0xa7f0c080,
+    0x7af3332d, 0x0681c5d1, 0x5ca9975a, 0x06168cbb, 0xea1457c5, 0xcfcde01c, 0x4c9b6a3c, 0xcef0cfac,
+    0xdf688ae8, 0x95eb2cae, 0xda36bd6d, 0x2325a525, 0x227a0e86, 0x8ed244d7, 0x9b7b9e47, 0x11e0e552,
+    0x45f36c6b, 0xee5938eb, 0x27cd7eec, 0x38df07d9, 0xcf944d06, 0x7ec9f83b, 0x2278cfef, 0xaf98154e,
+    0x4faefa6b, 0xd211ba49, 0x77078658, 0x625476f7, 0xfb63e0eb, 0xaa4c4033, 0xd4a6594b, 0x13a8aa47,
+    0x1516b582, 0x509a88af, 0x69036a80, 0x9ad3e6d4, 0xf5eb3152, 0x73956167, 0x144d9181, 0x8463b4a5,
+    0x7aa12af0, 0xfc0eb704, 0x1e46c8a1, 0xd378fc29, 0x205a2987, 0xcdd2deab, 0xb33d9536, 0x7366e767,
+    0xf54ad3b6, 0xffad59cc, 0xd0808dda, 0x9bf4c132, 0xa88b3ada, 0x79236e56, 0x69861508, 0xc10056f3,
+    0x274d0dee, 0x96b5d3ed, 0x28d2a5e2, 0xe826a354, 0x111806a2, 0x0ebbb7ea, 0x22e6d645, 0x2c6e858a,
+    0x3d692e38, 0x5f3c84cd, 0x2ce1952f, 0x9ffc98cd, 0x23a89de3, 0xa20f86c2, 0x90571458, 0xa5b64cb8,
+    0x731ae526, 0xbb2eeac3, 0xe1638caf, 0xfc0a3c9d, 0x543861d3, 0xbbc0108c, 0x332b9433, 0xb9c9660b,
+    0xd17c599b, 0x9c31a115, 0xa9ef3d0b, 0x19cae3cb, 0x8fce649c, 0x7f4ab883, 0x910f8732, 0xaffa958b,
+    0xa603d63a, 0x3c90b1eb, 0xffe59be6, 0x61dca9fb, 0x9cf05277, 0x348db1f4, 0x87852712, 0xa6b416c8,
+    0x231f7b16, 0xd27fcf6e, 0xafeb82c3, 0x4182d1d8, 0xde78885c, 0x4e8dfdd9, 0xc95fdb77, 0xa35b8223,
+    0x209aa280, 0xd33fac50, 0xdb4fd688, 0x3dd7d141, 0xc9b36fb3, 0xa4a8e097, 0xbb78fdcb, 0x09872381,
+    0x86ec2e11, 0xb4ffd69e, 0x8f691c65, 0xe2071d95, 0x9ef3913f, 0xf8719c33, 0x85edbeb3, 0x39e51f1d,
+    0xd58c579a, 0x164a3320, 0xb6a106b1, 0x87c24ba4, 0x4544b634, 0x7cfe485d, 0xadcd8d5a, 0x35b0787f,
+    0xebe7f191, 0xf9d1a18d, 0xd504bf7c, 0x2547bff1, 0xeba5c0d6, 0x4f3d9bbe, 0xd579ea82, 0x5d3a422c,
+    0x7c49ea1b, 0x447a8893, 0x1526b12f, 0x09d66e59, 0xe8c3c34a, 0x3d5578c3, 0xd48bb377, 0x6bf003a9,
+    0x9be43ae8, 0xb5723d75, 0x825e8188, 0x8fb5aaf9, 0xf0839636, 0x5c942650, 0xc4a8e386, 0xa4e43d19,
+    0xcd46c469, 0x12183a8d, 0xe0650b66, 0xdb13b34b, 0x5b2e4d7a, 0xf2c88bc9, 0xaa89627d, 0xfefa1937,
+    0x7a8e2064, 0x6dcc9cb9, 0x9dfb52c0, 0x91fee151, 0x91acd666, 0xcec8e751, 0xa50ff8d5, 0x992040f9,
+    0xe4753573, 0x37cd1ac9, 0xbcfe352c, 0x8f238c1e, 0x13429d32, 0x5096ceb5, 0xe908819c, 0x5a6ea36d,
+    0x47661615, 0x28307540, 0xe5d5270f, 0x8979828f, 0x383d7d05, 0xaa464a96, 0xc8582d81, 0x3519e139,
+    0x32c30a68, 0xfa289346, 0x75f83527, 0xcffc965c, 0x27b50bae, 0x7ab363d4, 0x30adbe4a, 0x161df0fc,
+    0x4febd3eb, 0x08b3b0dc, 0xed40cc12, 0xd9033e02, 0xc0432570, 0x40fda3ba, 0x7cab1f4d, 0x2a93e2da,
+    0xca53c680, 0x7b890d0f, 0xc9617690, 0x3e4ba444, 0x4cbc6d85, 0x5be32a97, 0xa5a8c159, 0xace77830,
+    0x2f941e9b, 0x6d731faf, 0xb573c033, 0x845bea50, 0x7d243664, 0x39c59d0e, 0x84366794, 0xcac1762b,
+    0x7e83b756, 0x5a5588ee, 0xde51563a, 0xacf0cef4, 0x8a9c90d0, 0x2e99d86d, 0x0b04c150, 0xd26ece1a,
+    0x820c8ec9, 0x3e9ddab2, 0x48fdac62, 0xe0f9903a, 0xefae9034, 0x9f3be7dd, 0x24c9c61d, 0xb7f483f4,
+    0x0b7693ec, 0xff81c071, 0x7797843e, 0x12d200b1, 0x86aa76ec, 0x32db977c, 0x4aa3d413, 0x1e435335,
+    0xa28c03a5, 0xbe310beb, 0x580e7605, 0x2a8d82e4, 0x594c8564, 0xbe4811e6, 0x4d2d41e0, 0x02c1aa57,
+    0xc3eeb0fc, 0x0bf3d28b, 0xdcf2b128, 0x39824a84, 0x0716a81e, 0x8f6bc47b, 0x3d1f759c, 0x675a6104,
+    0xce09c975, 0x940e1844, 0x37828731, 0x99429934, 0xb9183099, 0x2e33da90, 0x37f29dee, 0x5442023b,
+    0x3bd6e2d0, 0x3772faaf, 0xab9448ba, 0xe08dba61, 0x4166a0f2, 0xeaa5dab8, 0x3dd62d03, 0xb4d98fc3,
+    0x75025587, 0xc552a7e2, 0x23c7764b, 0x22e92f88, 0x953ebc72, 0x103e7b79, 0x0b5f74e8, 0x5f1fad42,
+    0x1af135a1, 0x9e2ae6e7, 0x39cbb7c9, 0x991e08ea, 0xa3919c11, 0x2657020b, 0x87b57bdb, 0xbc2ec439,
+    0x2cf8c9e3, 0x924157cf, 0x39e9bbae, 0xee16d6c9, 0xc7967d94, 0x51c4f002, 0x610113e9, 0xd6b38528,
+    0x0b935eb1, 0x6af712ca, 0x1f523b74, 0x71e55346, 0x50ee78d7, 0x1df6f05a, 0xfa1bb688, 0xfddb1dc0,
+    0xe82780a3, 0x34700d5d, 0x4b8db4f3, 0x36498f3b, 0xc25eac5f, 0x96428c28, 0x41114f1c, 0x5c24734e,
+    0x35615b7d, 0x0d51ab1c, 0xd2921e31, 0x9e18d5e2, 0xb745bda3, 0x9f5643af, 0x6170d7f3, 0x01dd96c4,
+    0x316c6d2c, 0xbc09b84f, 0x95b34159, 0x4678aee0, 0xbc4ab9ce, 0x50b778a1, 0x3262d69a, 0x9cc62975,
+    0xb7c9aacd, 0x32359020, 0x288b77fd, 0xe052349e, 0x9282c6bb, 0x16b52bcc, 0x451a1201, 0xed085b31,
+    0x293da2ac, 0xdb9257a3, 0xaf81b939, 0x8cec7d4d, 0x018a7b67, 0x50e950b8, 0x8a1be3df, 0xe1caedac,
+    0x550a1fbc, 0x1b07e011, 0x186e78c8, 0xe83a8a69, 0xa625d6d8, 0xc506f6c2, 0x4e75a959, 0x4c8d1270,
+    0xfd9d6df5, 0x18ac138b, 0xeff2b50b, 0xd3b5b0f9, 0xc040ac5e, 0xb546fb24, 0x740b79c4, 0x9178dd3c,
+    0x4eee9cec, 0x647d3815, 0x4fe378ad, 0xcf32b214, 0x9d59c049, 0xdf891a51, 0x9c84d739, 0x364e625d,
+    0x80efcd98, 0x22f6ce12, 0x8579a75e, 0x0c8ba64a, 0x57eda268, 0x5187da4b, 0x5c8235fd, 0x34865555,
+    0x0a2974bb, 0x2396ec1d, 0x170a71e1, 0x8f5ce3d9, 0xd9165b1e, 0x68ff01fd, 0x025d7cda, 0x4588f60f,
+    0x55f4a01c, 0x72f7bb72, 0xa62ae1ec, 0xb50de090, 0xb648e992, 0xbfcdfe78, 0x4c17b517, 0x1624747e,
+    0xeec662b2, 0x97bcba72, 0x0c27ec2d, 0x52b4ee06, 0xe04a9871, 0x3e02a850, 0x9536e370, 0x7d7ba001,
+    0x30470d0a, 0x37750f26, 0x097f4056, 0xe67980fb, 0xc293839b, 0x46d6817a, 0x2b1fef70, 0x2261cc12,
+    0xd888dd66, 0x059395a7, 0x16f6efa8, 0xee4cef26, 0x3af120c2, 0x6120f7cb, 0xef0bd960, 0x790918b2,
+    0xc78e216c, 0xa10c4e83, 0x1400046b, 0x7ba24c2b, 0x8b36edf9, 0x971c34f2, 0xdcca1e15, 0xce57829b,
+    0xb6f13b65, 0xa9fbf8f6, 0x2d4865ac, 0xc632b27d, 0x3d800957, 0x47bd9b61, 0x68ddc94f, 0xbcad8f0c,
+    0xc4618548, 0x75641fc1, 0x227f443a, 0xe30661fa, 0x9b810183, 0xc06a786e, 0x48333b17, 0x46c4fd5e,
+    0x6249498c, 0xdb55bb69, 0x991fccf5, 0xbd8eb09e, 0x61fca0b1, 0x7ec48126, 0xb6e05d6d, 0xa0312aab,
+    0xce970523, 0x6cd68dc1, 0xadfa0a50, 0xf2a3ffbd, 0xc23d143c, 0x80f2ca4b, 0x1c5d26d5, 0x9c0a4cc8,
+    0xa45c9c26, 0x341bbc1d, 0xf79f7061, 0x2000c737, 0x5aa6dab8, 0x990a210b, 0xe997f4d2, 0xca1bca14,
+    0x93312136, 0x38eaf0e5, 0x8a668671, 0x3c4dbbe3, 0x01825d44, 0x7922f866, 0x0178f0f7, 0xa3add033,
+    0x145c8c0e, 0x1f394a40, 0xe2e9b758, 0x76ae3a8b, 0x33a8fe6c, 0x83391f44, 0x03a8a44d, 0x66f08861,
+    0xed489d35, 0x42eba275, 0x084baa8d, 0x3836e605, 0xe6ec99d9, 0x19f1ba5b, 0x8329ee53, 0xddd6b537,
+    0x324d1857, 0xd19a25fa, 0x41859300, 0xdeff454b, 0x829ea7ab, 0x488d6191, 0x544bf0e2, 0xfa7f8c7c,
+    0xf3c35d30, 0x81b08fd8, 0x18f4f356, 0x93d12e18, 0x32876f97, 0x4abffc6d, 0xab86ac98, 0xcd9d4b2c,
+    0xa3ba1e8b, 0x02b293c3, 0x68aeb1a4, 0x396674d2, 0x847333bf, 0x8299e008, 0x3bc5c9c8, 0x7cb6ea71,
+    0xb091fe43, 0x4a2ae448, 0x1c0a6ee7, 0x955f774d, 0xc4bad6d6, 0x10c1dd1e, 0x9e4e687b, 0x33d4af36,
+    0xa86f7664, 0xad520617, 0x35e65894, 0x9a70fb93, 0xf6912825, 0x4c2fbf48, 0xfb66200a, 0x3c0efa77,
+    0xec0ad1e0, 0x3e2003aa, 0x6a47fe47, 0xdc4abba3, 0x26654a44, 0x3c0e7631, 0x373ddfc9, 0xd3490c97,
+    0xfaf534ed, 0x2d502637, 0xe0d9b6dd, 0x4e0c9d47, 0x3b18ac41, 0xef4f5904, 0x6f232112, 0x2b6c0f67,
+    0x51064a00, 0x9a2f2a17, 0x53ce18fb, 0x04c6090a, 0x0f5fa079, 0x4f944ba1, 0xe24c1d0a, 0x0c731221,
+    0xe5e96dd2, 0x9232fa49, 0xc25faea4, 0xfbbe28a0, 0x6ea760ec, 0x83f034be, 0x7699d917, 0x999bff55,
+    0x28cc3b1f, 0x1bedc22f, 0x379cfce0, 0xf255a8bf, 0x88c5e00e, 0x4dfe4279, 0xb4ebeaa7, 0x062723a5,
+    0x6c196d72, 0xfb9c6bee, 0x39ef8f40, 0x1e00e315, 0xa41b0beb, 0xceffd3d5, 0x08ca6c51, 0x33c6ccf4,
+    0x13638b4e, 0x98e63796, 0x4d6050b1, 0xf5835ed7, 0xbbdac369, 0x2f7fa35a, 0xb4b41da5, 0x71dbc95a,
+    0x4769572f, 0xb199ce1a, 0xc1ebd4e3, 0x8af76a70, 0xad65d6b7, 0xaeea688d, 0xa2c71be5, 0xddd61130,
+    0x5657daf0, 0x88f4092e, 0x4d683f69, 0xa2793288, 0x383fc691, 0x33decba6, 0x0beea7ff, 0x82518fd6,
+    0x70ba5ae6, 0xbe8650aa, 0xee335913, 0xfc4aa953, 0x96f57860, 0xb4ce7688, 0xdae580d1, 0x3e4f0f35,
+    0xdd0bf66e, 0x3c64c5dd, 0x1f504d92, 0x0cab41d6, 0x527432c4, 0xa800f371, 0xdc2f606b, 0x54c8500a,
+    0xd5771ed5, 0xffe193e6, 0xa3fd1f9b, 0xbf47c987, 0x5507db51, 0x045222bd, 0xfef09c9b, 0xb6938af9,
+    0x0ef5912a, 0x26a4012f, 0x8f778c80, 0x163193ee, 0x50526eec, 0xc11f390b, 0xd88fa5a2, 0xc298223b,
+    0x4559253f, 0x31664c40, 0xa2ea92cd, 0xb8c099ea, 0x2e887e74, 0x102d294e, 0xa4175036, 0x90540519,
+    0xb288c7db, 0x096a37dd, 0xb465ce04, 0x8aa2c76b, 0x577c2506, 0x3adbab4e, 0x73dc3a21, 0xf0a42acf,
+    0x1860b872, 0xb30a5bc4, 0xb91e93a8, 0x09cdcdfa, 0x308b5fc7, 0x98f00c97, 0x3dae9643, 0xab53c135,
+    0xf2e0f5c7, 0xf46bf636, 0xb9d34f9d, 0xc5e505f0, 0x80641b29, 0x2d7cdb22, 0x7c5efb4b, 0x9c8b2516,
+    0x599e00a3, 0x790f3f2f, 0x84aad190, 0xab935efd, 0xb3d3ff35, 0x20c7dd77, 0x5b292baa, 0xe60aea1b,
+    0x3464a234, 0x694da3b0, 0x13cc0806, 0x365dcd0f, 0xaf5e884f, 0x727e1d62, 0x387f9ef3, 0xde1bb4ed,
+    0x565cc031, 0x94cb8207, 0xb21fb8bc, 0xc031a0ac, 0xcbd703d6, 0xe66be06d, 0xbf4d1104, 0x7ee79ded,
+    0xf0e8b0b0, 0xd4985b44, 0x01fc0274, 0x2fd84d9e, 0x2f87d054, 0x005f8071, 0xe2573632, 0x2d2056a6,
+    0x4bfbfcb5, 0xca1accbe, 0xb6bdb008, 0x94a51384, 0x163d708b, 0x00908497, 0x5fda1dce, 0x81312a33,
+    0x33b55cbc, 0xc942ae3b, 0x30fb59d8, 0x4e784601, 0x4ea88d9e, 0x22660343, 0x0160f19e, 0x8ec217ea,
+    0x303c26c5, 0x041fc1db, 0x84383f7f, 0x16b92a25, 0xf20dd201, 0x4d4345b1, 0x38733a18, 0xabe4ccae,
+    0xce6c6241, 0x2ae295a0, 0x27f3fb18, 0x0fcaa16f, 0x21a776ce, 0xc3756085, 0x19a529b9, 0x1a55a541,
+    0x40675200, 0x7294cc10, 0x80fc6dc6, 0x4d36deb8, 0x253aa6f3, 0x42b568a9, 0x242cf69e, 0x9b709d23,
+    0x0f1d1580, 0xf41e0eba, 0x29f75862, 0xaa733295, 0x91887779, 0x8c41f7c5, 0x1d876651, 0x7d961d65,
+    0x0b16df1f, 0x62ebc765, 0xb739ae3f, 0x77ea1d7a, 0xae5ac1f8, 0xdd62ccc1, 0x79dabf0a, 0xadc4ded6,
+    0x10e485e5, 0xa2dca6ff, 0xe536b5c4, 0xdc167e55, 0x91f7e1fd, 0x098fd050, 0x5e8d7a46, 0x1513ee6c,
+    0xb8c1dbd4, 0xb2fcc265, 0x3ddc3a86, 0x60575903, 0x6f4ff61b, 0x674ad8f0, 0xb2bfebd1, 0x102cf6ac,
+    0x9d42d955, 0xad7737ca, 0xb345fcc8, 0x35b594f0, 0xa70243bc, 0xc64c2113, 0x034fc034, 0xdf4ffae5,
+    0xd83c1862, 0x16e4eb6d, 0x73783d94, 0x31989de5, 0xd4c047ea, 0x127528c3, 0xa491e54c, 0xf6c7ad63,
+    0x4a12b099, 0x663662fc, 0xe9a2aaf7, 0x25602dd2, 0x1b4c97ca, 0xc4c8bc3c, 0xd3922a2d, 0x3cac5bef,
+    0x68cfe474, 0x5bb07b92, 0x52fe442a, 0x1d4b36bb, 0xe8bd9af2, 0x5537f73c, 0x9bf03d05, 0x644ed35c,
+    0x040d4394, 0xbea0b7d5, 0xdf72ee02, 0x92d2ba63, 0xa481357b, 0x2cf43e4f, 0x3256cae1, 0x17993f9e,
+    0xb4a92377, 0x0eee34a2, 0x63b0ea36, 0xd07617d8, 0x8c6609fe, 0x280c2425, 0xbc49bbf8, 0x394e5c2b,
+    0x8d9040f4, 0xcfa9fefb, 0xfb42cec1, 0xc04b331b, 0x1c2b317d, 0x60b0391a, 0xefd113f2, 0x6f316053,
+    0x062abb18, 0xdb666bf3, 0xde68a364, 0x46628c97, 0xe9c5c12a, 0x9cd104e8, 0xf3db12e5, 0x0e122606,
+    0x45c2f08e, 0x9c43bb19, 0xf0fc2fb0, 0xd6d4e549, 0xc3b5fb9b, 0x64933cfd, 0x083ce49c, 0x9ef514bc,
+    0x3d01f947, 0x06a5501e, 0x9dca1738, 0x80ce7490, 0xebda7160, 0x9384411d, 0x0f5a1e6a, 0xdc6f9f26,
+    0x45992476, 0x47f3e679, 0x1522c225, 0x28f6d002, 0x2af92e22, 0x9501a6c5, 0x26bffdb9, 0x76644848,
+    0x0e72468e, 0xdada5cd8, 0x52b584a2, 0x54eb4626, 0x300137a4, 0xc5eeed09, 0x173d8c69, 0xbe5e0c16,
+    0x69218cac, 0x6fc0639d, 0x040d9613, 0xdc80966c, 0xf354c0b7, 0x0d8b9097, 0x0e6d1e07, 0xe5f55054,
+    0x925a9652, 0xa1845bb2, 0xb0c134d7, 0x370d2dc4, 0xf72a7b46, 0xc7749894, 0x8c50101f, 0x14f62ec8,
+    0x5753be5d, 0xdfe0af4f, 0x14dd5d07, 0x86169749, 0xc162c634, 0xa455218e, 0x41abb382, 0x6a34662c,
+    0xd93677e7, 0x20d36113, 0xe0eef126, 0x2c1b612c, 0x0bb7e162, 0x8b8d6c93, 0x7c4492a2, 0x1120d9f6,
+    0xc12d4b67, 0xf631fb9e, 0x11769f84, 0x84094dc0, 0xd00b3f80, 0x03c6004f, 0x1e644d43, 0x6c1f2c12,
+    0xf36f94a4, 0x7412cd3b, 0xcd6d9c5e, 0xdd5f2c7c, 0xbd36ae2c, 0xb26de65a, 0x341a66fd, 0xf0775f40,
+    0xd5633e80, 0xd4b1e141, 0x7b234216, 0x3fcb6815, 0x373e524b, 0x54774025, 0x802e7b06, 0xf9b73047,
+    0x7bc66d64, 0x8e46b5a7, 0x28ab3a39, 0x8703322e, 0x38cb2e13, 0x15ea5026, 0xe4c44ce4, 0xf558c8aa,
+    0x7ef09646, 0xf8bee040, 0x69883566, 0x4919e990, 0x90c49363, 0x2d53a9fc, 0xac4b72f5, 0x24aa6bbf,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000020769187434139310514121985316880384 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495f, 0xb7fa6d7d,
+    0x00000000,
+    0xe738aca1, 0xbe3d7c34, 0xc46c3911, 0x419faac8, 0x979c3235, 0x79685716, 0x789953b9, 0x0e305469,
+    0x84e8125a, 0x5288ad34, 0x0d8d3734, 0xf8a1ae22, 0xc122df9c, 0x21d358e1, 0x0c2a9ef7, 0xfccfca97,
+    0x13e9d939, 0x02f34d42, 0x61b2e776, 0x6228aa87, 0x6aa02623, 0x10811835, 0xd6a237ed, 0xe9d5c4f6,
+    0x547f4ffa, 0xa633aac2, 0xa4809d0b, 0x01f766c5, 0x42b613f0, 0x32a92132, 0x88f386e1, 0xe64eb818,
+    0x82ec8989, 0xbf3d9127, 0x6253a763, 0x5aec25d8, 0x2732f608, 0xebb030c6, 0xa3acee27, 0xda3bad1f,
+    0x85dc8b1c, 0x5d713ca3, 0x4c8449d7, 0xbab64070, 0xa16e0d89, 0xe874ee8c, 0xbd67711b, 0x8af106bc,
+    0xdac04d79, 0x7a410c67, 0xd495951e, 0x0c68fcd6, 0xed7ab8dc, 0x906ab7ce, 0xeb49c133, 0xfff5aa3d,
+    0x5dad488a, 0x56627a87, 0x272a6e5a, 0x9e9e2a69, 0x560583cf, 0x39c37e96, 0xf05212ca, 0x58346e18,
+    0x06951dd3, 0xfe8f7a73, 0x7a221d58, 0xdb94de93, 0x4397ac7b, 0x2deabb2f, 0xed5d9050, 0x5710860b,
+    0xd6077eea, 0xad109d0a, 0x8d0d3c7e, 0x946652ea, 0xcb6532c1, 0xd4e63c43, 0xbe95fa49, 0xbc923478,
+    0xf0afa71f, 0x404ddb9a, 0x07fcc28d, 0x17916bbc, 0x7885abd6, 0x5691567f, 0x6c6e7d97, 0x641fd1b2,
+    0x3e5adf85, 0xf93f3131, 0x9814eee4, 0xfc0935e7, 0x236861df, 0xb511f0f5, 0x17471ccc, 0xd9ba2d6e,
+    0x8834a19f, 0x4add4754, 0x585c9c8e, 0xef54a06d, 0xeb95b4d6, 0x6ac5c13f, 0x97663077, 0x09cd938c,
+    0x6d615b7d, 0xc674419c, 0x194df184, 0xe1f75f28, 0xbf2a0153, 0x498d26a2, 0x4d397fe8, 0x8a2cfe00,
+    0x65bb3f26, 0x0f1bc270, 0x49e733de, 0x2fdae749, 0x2dace0a0, 0xfbb728f2, 0xdabc107f, 0x3df536bd,
+    0x770b9e2b, 0xbe39057c, 0x7011ae42, 0x8cd640f1, 0x3b6e20b6, 0xb0d018d4, 0xc909c721, 0x561aef39,
+    0xbd508068, 0x54ca97a2, 0xe18f8641, 0xff98f1cb, 0x0a367fbb, 0x604e1f9b, 0x04666a16, 0x6edb52af,
+    0x260cbfe7, 0x89670df9, 0xffa7f3c2, 0x5bc8b595, 0x056e2059, 0x16e172ed, 0xd31d40e3, 0x4dc4db41,
+    0x6b9dee50, 0x3db31cc7, 0xeea09b26, 0xe31e75da, 0x98ef5c1e, 0x4ed0e293, 0xd6991a52, 0x5319e01a,
+    0x3187a938, 0x63972045, 0x2c436eb6, 0x6b749e5d, 0x5a7b441e, 0xd4a4c5e4, 0x216fade4, 0xc7f4167b,
+    0x56a4472a, 0xcfdf5f0a, 0x77e8cd66, 0x8acc022e, 0xa84698d1, 0xacb6b1fe, 0xb23c38f5, 0xcd5a386b,
+    0x7af3dd3f, 0x52bdf215, 0x53a69f94, 0x8e9bafa5, 0xe7ba410d, 0xd7cef25a, 0x78ed707e, 0xc4132606,
+    0x7076e4d6, 0x5caf7df1, 0xdb85ed3b, 0x915aa38f, 0x6ae55e6f, 0xb6bd2ce6, 0xa661e192, 0x7ca0e36b,
+    0x693a60bf, 0xda925c64, 0x653e6197, 0x673dfea4, 0x9c176a88, 0x71027f92, 0xa3c736c4, 0x06e5d891,
+    0x79227fe8, 0xc6db92c0, 0xdfedcaad, 0xe8509c96, 0xb3829e62, 0x5fd7b2db, 0xf7d5ccc0, 0xa73f2c57,
+    0xafa1cbd9, 0x3b57bbe6, 0x29bc0da3, 0x09024dd0, 0x5b579f58, 0x47434348, 0x364f6fac, 0x2293a580,
+    0x1ad7c8db, 0x48ff5087, 0x5032aa71, 0x2ae6b2a2, 0x3d72f8bf, 0x41b86150, 0x1cfecbab, 0x45f0fc14,
+    0xd2e658cb, 0xbaab7498, 0xaf27e581, 0xd7b5fb85, 0xdb9909d6, 0xd55256e2, 0xa78362e4, 0x50ea4cac,
+    0xda34bd60, 0xd8e5f28d, 0xe3dd2543, 0x58f9a7b0, 0x97928de1, 0xa16f9102, 0x6e7c5600, 0x7e73d6e8,
+    0x53afd954, 0x2db7f072, 0xb085e9fe, 0x3230c47c, 0xa68eed18, 0x03c20518, 0xd4dcf451, 0x72482fee,
+    0x621f9d1b, 0x74171da8, 0x1d4ff99e, 0x18ad9803, 0xbfe3f17f, 0x0acdced9, 0x3976221d, 0xba5466fa,
+    0xdad15bf5, 0x6dca8179, 0x15dc4fb4, 0xc490e5ec, 0x3c5ae2f5, 0x75dbd7cf, 0x629e6037, 0x5c41c989,
+    0xc7af73a6, 0xb9045093, 0x2a648cc4, 0x5c8fd3d4, 0x37990f97, 0x3ea3de52, 0x8f7cb943, 0x2a67927b,
+    0x9535dd49, 0xfefd2840, 0xc3f0b114, 0xc7cd2362, 0x1b4ec7cc, 0xcd1c69bc, 0xc65eb43a, 0xc2bc7432,
+    0x86c27f19, 0xe4f6148f, 0x61941719, 0x279f4ab6, 0x3ce02781, 0x0323e18c, 0x1f73b339, 0x22f2589c,
+    0xbfceb69e, 0xd2b02961, 0xe3aa7e77, 0xe465d9ae, 0x1ae23e5b, 0x8c8ef3bd, 0xdef5afbf, 0x4e1c21ee,
+    0x537f078a, 0x8d11b0fa, 0xa742e0bb, 0x87d5ed82, 0x7c06b0f6, 0x2355e8b4, 0xd6aae31c, 0xe3238646,
+    0xef7875b1, 0x033f6d43, 0xa89cb27e, 0x8bd7f915, 0x16dc3999, 0x667bd248, 0x5515e0d0, 0xd18a2ea4,
+    0xec8c0496, 0x69edb150, 0xb93da496, 0x29ce50f2, 0x1b1e8b00, 0xb8cea9fd, 0x0fdd0e4b, 0x5d0e787e,
+    0x3ff457ea, 0x45b7f87f, 0x7d2f9e3e, 0xc7f1c204, 0xba054789, 0x879a5c4d, 0x0cf64045, 0x52d72825,
+    0x85154ddf, 0xfc1252a2, 0x9faabef2, 0x6b9000f0, 0x72cc7919, 0x5a4ebe14, 0x96ba42c0, 0x995d3708,
+    0xd9d7b00f, 0x3054821c, 0x65e7fe46, 0xe24139d5, 0x1b833924, 0x82acb0f4, 0xfe7fb661, 0xed9a6822,
+    0xa6eade5a, 0xa6699a69, 0xa869f63b, 0x389e10ca, 0x67b43484, 0x40cbc113, 0x85998b68, 0xe5bd8ae8,
+    0xb3bbdaa6, 0x99d32877, 0x186845b4, 0xb0f80ac9, 0x457a8fa5, 0xe359572d, 0x90ec2f7b, 0xfbbf29e5,
+    0x0eebba23, 0xe537bd5c, 0xbfc7ab02, 0x6b2bba52, 0xad5b31eb, 0x3e4643c7, 0x07c11980, 0x89464da5,
+    0x47f68e9b, 0x03cbcb3e, 0x1a1f06b6, 0x21716510, 0x9b2f281b, 0x8d4c790b, 0xf4fdc69e, 0x976cd630,
+    0x57f8511d, 0x3525f9c5, 0x4dec65c0, 0x7a9c9b0a, 0x085c0c43, 0xf037865e, 0x867568b2, 0x57ff82a5,
+    0xbb908648, 0x2ba623f2, 0x95960f93, 0xae86f176, 0x30fd2bca, 0xc5d8ccdb, 0x7df6fef9, 0x8cef9c2e,
+    0xe4c566af, 0x71bb41ee, 0x72f736fa, 0x04e8da6f, 0x2c9edb12, 0xc55b5fa9, 0x30b20375, 0x5dc38031,
+    0x634ea3b3, 0x1fa3b53c, 0x7e6a5b0c, 0x75b0b9a2, 0xe1ad5a9b, 0xae29f6d8, 0x9ba668e8, 0x7ce3c2f9,
+    0xc54eddbf, 0x15f89cec, 0x94645029, 0x0c16bf98, 0x36488005, 0x51834703, 0xd5e30eb0, 0xee2bc4d0,
+    0xd9ef227b, 0xfb21db5f, 0x8d667187, 0x096a2e75, 0x8d0d4e60, 0xe9b2a493, 0x2888b1ec, 0x21a7b9a8,
+    0xb46c2316, 0x1f069671, 0xf8395757, 0x7f2b8225, 0xd84e04d2, 0x59def9e1, 0x608cfe85, 0x4400986c,
+    0x0c354468, 0xda2918ec, 0x7c6c6f34, 0x8c5098d0, 0xbb10660d, 0xb3562775, 0x1e8d34eb, 0x523d3d63,
+    0x2e0456f8, 0x624c3916, 0x081150ec, 0x364cfe7b, 0xdcf8f68c, 0x33efb3c3, 0xdcaddb08, 0x02694d93,
+    0x78c0d252, 0x5ce47d58, 0x9d5ac250, 0x3a47a070, 0xa23e805c, 0x2207054d, 0x602a2a15, 0x47f60f7d,
+    0x2859eab6, 0xe3b46cc2, 0x3b9cb53b, 0x3cc2408d, 0x77d4fc46, 0x996e1bef, 0x58c7939b, 0x3dda19b1,
+    0xdaeed09d, 0x1e1e88f0, 0xf961d8af, 0x27a3766c, 0xd923a2be, 0x9e0e5ccf, 0xee6950cc, 0xc095d715,
+    0x0650779d, 0x95102e2d, 0x570a66b3, 0x456549df, 0xda98c6e8, 0x09f92eee, 0xe92d7b55, 0xdc3ced4d,
+    0xd9677c83, 0x173f5b82, 0x8754ec5c, 0x635dda6b, 0xbca057a5, 0x2e751e2c, 0xcf95afd4, 0x39e68195,
+    0x20aefb97, 0x262f587d, 0xbfb6aed0, 0xb3211899, 0xd60e4509, 0x127123e6, 0xf149d1b7, 0x9ca5a28d,
+    0x741415b6, 0x7e9c8436, 0xd878a2aa, 0xc06dca16, 0xd872da92, 0xf8a7e609, 0x85261655, 0xd60cc3c2,
+    0xab7d15ad, 0x0d9d2f94, 0x58558f0d, 0xfb6d2292, 0x8ad71907, 0x9a5cec22, 0xd46626de, 0x8ac7c678,
+    0x18de77f5, 0x905c9d2c, 0x253b14ad, 0x24f3502e, 0xbaaeae36, 0xaf8ad984, 0xbd815752, 0x7ddd23d8,
+    0x7eee70a3, 0x68ab52f4, 0x0604e0ca, 0xa44b4612, 0x5a1944ab, 0x5eaa776a, 0x65a5ca29, 0x9905f541,
+    0x80672427, 0xcdc81094, 0x51cbd085, 0x92a8cce6, 0x304b6325, 0x3fc06cb0, 0xa0869c83, 0x250de1cf,
+    0x74ae8234, 0x8bd88010, 0x6b9c0747, 0xd777fad0, 0x06da457b, 0x4edcbd2e, 0x3a190857, 0x2eb47031,
+    0x2764154a, 0x9a7ab7c5, 0xc7972698, 0xd42f3b2f, 0x02dd7c7e, 0x7ac625c2, 0xb90f2912, 0xb8a5bcd7,
+    0x0d0563f7, 0xf89cbe2d, 0x9080d5de, 0x4138865c, 0xc688d642, 0x87566818, 0x4889e2e9, 0xfa98f8e9,
+    0x04ff7f1e, 0xdba5a60c, 0xc243c2f8, 0x1c41e14f, 0xc894a4f1, 0xbb20241a, 0xb0a4d946, 0xe1dbc1e5,
+    0xa5ded905, 0xf73a6096, 0x2842cf7c, 0x4cb668f1, 0x79ab7464, 0x5a2230ac, 0x36a97a57, 0xcd1aca55,
+    0xb9840624, 0x4dbe9c41, 0x88c6bef3, 0x76301286, 0xa4c2cfe9, 0xbcf15aeb, 0xfdc796a7, 0x1f4a1e6f,
+    0x8ba4e9f6, 0x9eea9fcf, 0x16db0e7b, 0xcb36b637, 0x498a961b, 0x79a7c5b3, 0x7045be28, 0x422d1591,
+    0x890f7ad2, 0x08a04286, 0xe255444f, 0x146e4ffc, 0x7d961224, 0x7cbe556a, 0x938fd000, 0xc96148a7,
+    0x9ce0a1e3, 0x71b1f6e8, 0x0094a4d4, 0xb238253b, 0x56c62960, 0x755547ff, 0x37e4bdf1, 0xa8d0e4a8,
+    0x03c70d16, 0x8d258409, 0x75ccedea, 0x6123738c, 0xf4c6e0a4, 0x61a4e665, 0x4428062d, 0x48b2ecd5,
+    0x4b709ce7, 0x1a650eaa, 0xc5c9e816, 0xaf68fb2d, 0x2f7fcf1d, 0x2d1faa84, 0x3e0ae196, 0xce8f5b7b,
+    0x397ec2be, 0xd44ff3ff, 0x02b61faf, 0xc2da7974, 0x0405a9b9, 0x3f9cb682, 0xff98cb3d, 0x10b7fb25,
+    0xee53b7bf, 0xef15f8c2, 0xdf8b8603, 0x9d8b1cc9, 0x8c74580f, 0xe17d9b40, 0x23a1077c, 0xf16bb98d,
+    0xc69c046e, 0x0d7f3e96, 0x60205a4e, 0xb5a88362, 0xadd52aa3, 0x1045cbe9, 0xfd2b6996, 0x7fcbc64c,
+    0x6b853ecb, 0xeba962e7, 0x3da5bda0, 0xfd447158, 0x4e3d6502, 0x12bd42f5, 0x154d679e, 0xd2f8ca0c,
+    0x2f28ae5e, 0x733db16b, 0xe157c9c6, 0x3e1c87f0, 0xefb34337, 0xd7a3b868, 0xac468c84, 0x9469f6e6,
+    0x9f22715d, 0x5b193c6b, 0x4c0bd647, 0x178e3e26, 0x83cbc667, 0x1e1751b7, 0xbf9b7d61, 0x32068e12,
+    0x5ed4e839, 0xf929659c, 0x8411f1d8, 0xdf28b2b1, 0xba14fcd8, 0xc1331320, 0x44077f29, 0x756a5082,
+    0xa78ca498, 0xc202fc13, 0x6d36fef7, 0x206e73d8, 0x504115f9, 0xce5c441c, 0xba5cb6fc, 0x577822d6,
+    0x1f20b538, 0xa328a861, 0x6ed60986, 0x9aad346d, 0x70979aa1, 0x74afa791, 0x85ab31a6, 0xd88d5a79,
+    0x6c38eb8a, 0x8ea5e61c, 0x735f9d49, 0x41bc7289, 0x3346e0c6, 0xc30fd91b, 0x5566b989, 0xbff1ae6f,
+    0x3ef9ca5e, 0x05c68632, 0xae2c4a0a, 0x5db96dc0, 0x9b3f92c6, 0xceccc6b0, 0x352b7c14, 0x9e2a73d1,
+    0x7c3f5697, 0x4239a2c6, 0x5f8f2d39, 0xe6eb5d0f, 0xada3f34b, 0x1942b70b, 0x09953b5a, 0x1840d5b9,
+    0x8a680c80, 0x3443bf96, 0x6b7c77e2, 0xa36ffbce, 0x64b50b4a, 0xd721a3ca, 0x129c9faf, 0xe6539088,
+    0x17942767, 0xca7036ea, 0x9a5727dd, 0xf69e2c83, 0xdc8c6440, 0xdb7e27ab, 0x6f571db0, 0x88ea8046,
+    0x631ff019, 0xb05cf992, 0x92ad71ff, 0x46faab49, 0x55a3cc62, 0x94a2c6c6, 0xc4d6f13e, 0x06c73454,
+    0x6e00dfc4, 0x593aa675, 0x8ff31aae, 0x5309d42e, 0xaaec171e, 0x3fd27244, 0xa11cdcae, 0xcd8a55ef,
+    0xc3a250a1, 0x075aaa16, 0xf6eeeee9, 0x79e9b1b8, 0x60e8ddae, 0x868900f3, 0xa0636f60, 0xb1e8cc8b,
+    0x6f93835f, 0x34ffc07a, 0xb7f6ae35, 0xe0f4d540, 0xb5ff7ffb, 0x4b65034d, 0x0830af69, 0x517969f9,
+    0x54c7efbc, 0x44e500d7, 0xf4b4830f, 0xeb195bb5, 0x22f3bfb0, 0xb381dc9f, 0x7023b937, 0x04e5a814,
+    0x4a3f546a, 0xc98a19f8, 0xa67e6161, 0xeb54944c, 0x0781eb69, 0xf2d0f923, 0xb72a53c3, 0xa20dde16,
+    0xf9766d72, 0x2bdef7fb, 0x7301fe84, 0xa411cfb5, 0x0a31c81f, 0xa93e1a09, 0x4135fc67, 0xa16ed2e3,
+    0x651527b4, 0xc971990e, 0xcaa4f724, 0xfc72aee8, 0x6c2db6a7, 0x4755f5cb, 0x66aa6e56, 0x5147213d,
+    0x96965ac6, 0x8be0949c, 0x202291c6, 0x36ae028a, 0x97d6f0e1, 0x1f7d2d6b, 0x5ef601cc, 0x22024d3f,
+    0x8403e8bb, 0x6768909f, 0x5b0282e8, 0x6dcb9dce, 0x3c468952, 0x526e97f3, 0xd8551feb, 0xae4fca96,
+    0x001e4181, 0x198668d1, 0x76f38c6d, 0xc19b4ee0, 0xefe9921f, 0xfbbe05c4, 0x81467cea, 0x9e3ad53d,
+    0x3579cbb0, 0x24b93723, 0x7ce1e157, 0x7415f289, 0x024cedcf, 0x9bdd0530, 0x61d87551, 0x5c5d0fe2,
+    0x06405b34, 0xaec068ea, 0x0a7f80b5, 0x827c9d07, 0xe1fd6cbb, 0x9f863a5d, 0xda8a7228, 0x4b697c19,
+    0x4ca1a851, 0xd3366fc8, 0x550677eb, 0x572b583b, 0x618f3674, 0xec82818f, 0x59c745f6, 0x268096f5,
+    0x2bd72e82, 0x53b96c2b, 0x04831e2d, 0xc18a420c, 0xce93e8b0, 0xff646f3b, 0x7019d471, 0x29ef4ca8,
+    0xbf4ff992, 0x7801b20d, 0x7e77165c, 0xeb180ca1, 0x18c7e4a6, 0x66bc5e03, 0x9f007f25, 0x5739cfa8,
+    0x439bcc03, 0x8ff45fe2, 0xfcca8a3c, 0x9bc7702d, 0xe67aafdc, 0x32dfc84d, 0x4e551e9c, 0xc9c3e311,
+    0x9dba08e0, 0xcfc5b047, 0xe195e2f9, 0xd8d23dfe, 0x014be526, 0x475a2e82, 0x4d2a8171, 0xcbc5cb28,
+    0xc5b91411, 0xbf726eec, 0x28dbc5be, 0xd159b3c0, 0x2139bf03, 0x54c9bc3a, 0xa8a6f558, 0x9ae478ad,
+    0x1ca0d908, 0x0882e252, 0x0f55952c, 0xacc24d72, 0x0a330c4b, 0x47a1c3a4, 0x3ac453dc, 0x0c4638ab,
+    0x9fc358b5, 0xc47d3690, 0xa3bb121c, 0x24b647d8, 0xa2c3cbb5, 0x54b8c213, 0x3689ecf0, 0xb4444ebb,
+    0x6ff82965, 0x19045616, 0x46e72a5c, 0xab0ab817, 0x8cadce2b, 0x1db1dd99, 0x21327a58, 0x489d163b,
+    0x9aef23a5, 0xcbebfe7b, 0x10952fa7, 0x1e4abc89, 0xd666738e, 0xbe34f966, 0xf453ee35, 0x7e2cd50d,
+    0x0eeca2b5, 0x7486e801, 0xd31fa9a9, 0xef68761d, 0x817e0a49, 0xef3c95bb, 0x851feca5, 0x258b7f28,
+    0xd59af156, 0x1b4d7725, 0x47205e7b, 0x4caa6021, 0x316fa171, 0x3ecd0c2a, 0xe61905ee, 0xf479d212,
+    0xf52188ec, 0xd5f58c19, 0x1282e6b3, 0x7cc268d4, 0x2edb0996, 0x3d5fafd1, 0x88f21e6f, 0xd7beb5df,
+    0x7b376d52, 0xd150c880, 0x1283314c, 0xf8ca9332, 0xb673a1e5, 0x82805e84, 0xabaaa7a2, 0x1d23c50a,
+    0x24d2d999, 0xd63cd74f, 0x45a171ba, 0x79d98899, 0x2444c03c, 0xcca668d6, 0x6a6b5b1a, 0x19693e47,
+    0xed9e6d86, 0x26f5c8dd, 0xbb5aabac, 0xded92ba8, 0x4496883f, 0xe7c3ffa5, 0x82470776, 0x8da4e274,
+    0xbd5dea4b, 0x9744c971, 0xabe22936, 0xe4218faf, 0x0fefdb0a, 0xa493a872, 0xa0b632f1, 0x6219a15b,
+    0xc4f7cdb1, 0x0bf5a08f, 0x93afe7c1, 0xb028339d, 0x80829cc9, 0xd4c2a663, 0x227234d6, 0x8188d303,
+    0xffa47f57, 0x51cc759b, 0xbb4aabf7, 0x12c9edc8, 0xd3332c5e, 0x4e1acbd2, 0xa2012f17, 0x8c0f305f,
+    0x676eef28, 0x99c3a76d, 0x234b8588, 0x1b742282, 0x5afe7a06, 0x3b2a359f, 0x9c1be2fa, 0x14998bf1,
+    0x312a1e90, 0x3bdd71ac, 0x3a396a93, 0x63f773fb, 0x08882032, 0xb1775f43, 0x0bcf4a12, 0x54aff74b,
+    0xb202d7d9, 0x6eaea80b, 0xcff07812, 0x1a5ad150, 0x3087db24, 0x97489ace, 0x574cd157, 0x1a400a00,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000010384593717069655257060992658440192 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924af, 0xdbfd36be,
+    0x00000000,
+    0xac092e21, 0x2ffb1b76, 0x2e5d1f99, 0xd87e7474, 0x12aecf6b, 0x2cff3f76, 0xee519f2d, 0x09227839,
+    0x654c0626, 0x36caa2b6, 0xf091f046, 0x9ffecd55, 0x3211dd0b, 0x4786f732, 0x3d23b6f1, 0x3d5d0cb1,
+    0xa6293c6b, 0x441183a3, 0x5774e5fc, 0x17b648fd, 0x04ce88d1, 0x44be750e, 0x1cc7afaa, 0x153d4d8c,
+    0x68b34021, 0x9cd18396, 0x6e63fbea, 0xee083b7a, 0x61fcbcc8, 0xb1fdaa10, 0xfc894ccb, 0xc6db9f18,
+    0x4e5ae210, 0x84e81f45, 0x643606c4, 0x29d8393b, 0xa8462584, 0xde513bc4, 0x5bb414b7, 0x440dd6b6,
+    0x26f8fe21, 0x3d8caade, 0xe8cbc81a, 0x25c8e82e, 0xfa18716f, 0x8e79cd7c, 0xaec2f7f7, 0xf4bfa282,
+    0xda8f6fbb, 0x139d5e09, 0x94e82929, 0x4e1d046c, 0x0dc68b99, 0xe52c6e2b, 0xbc411277, 0xddfe8514,
+    0x3c7b70d4, 0xae082ef5, 0xd0747bad, 0x9688fd98, 0xeec96442, 0x4e0becb3, 0x5cba2ad2, 0x731ec8f4,
+    0xd93fdec0, 0xe8951be9, 0x341e31e0, 0x0578e1d7, 0x6e3c3953, 0xf46bd1ed, 0x865c1f10, 0x9dcd53dc,
+    0x6132abff, 0xa9d8e6e5, 0x68af9133, 0x9dd9e9e0, 0xf76b5eee, 0x2eb34738, 0x689d3a91, 0xeacd6361,
+    0xdfa7b6d2, 0x80b4b187, 0xff3f5007, 0xf005c5ff, 0x251f0217, 0x59abce4d, 0xe1ac2444, 0x5a808cef,
+    0xd8af3bc8, 0xeac5f907, 0x6d97f874, 0xc24f4099, 0x6ce69889, 0x02e7187a, 0xcd442c43, 0x06ec5137,
+    0x0ac875eb, 0x627d1c02, 0xcd186dc1, 0x80d39e34, 0x70f01045, 0xbcd6f78f, 0xdc0f7b4d, 0x4da36c61,
+    0x67d59549, 0xee6ad8b2, 0x308dc50f, 0xa9f4f6de, 0x0de3ab6b, 0x0005de36, 0x362bc030, 0x171d55f4,
+    0x73a81a71, 0x715049bd, 0xe00e86a6, 0xf5deb2d9, 0xdd1cbf25, 0xf34a1aaa, 0x5816fb39, 0x9707e678,
+    0xfe737456, 0x0d4c2c84, 0x1096a27e, 0xf6dd9743, 0x5ea9cf6f, 0x3a128b71, 0xcbc29b00, 0xacb34f9d,
+    0xe443131c, 0x37b5d45c, 0xd12fa16b, 0x915b1848, 0x4dfe37ac, 0x3050335e, 0x8e0ab3ef, 0x1921bd8d,
+    0x4adc5783, 0x57db9359, 0xbe186767, 0xeb91d636, 0x1ae8c1b0, 0x1a307583, 0x4f881411, 0x305ca197,
+    0xb423af16, 0xc1448a3b, 0xd8d986f8, 0x2687886b, 0x6c9024bb, 0xafd734bc, 0x3b4755fc, 0xe1e24c2a,
+    0xf070d2fb, 0xbeb85e26, 0x8ebeb939, 0xdf2f7191, 0x4d271d3d, 0xdd30fbe2, 0xf8450a0f, 0xaed94d81,
+    0x276d9f1b, 0xbd1cda16, 0xcfd5e02e, 0xda04841d, 0xeba7d45b, 0x33916e41, 0x54833d2b, 0xbd17dca6,
+    0x055f9c40, 0x4a631fd5, 0xe379ce31, 0xbba3b92f, 0xd5782e33, 0x6c248393, 0x0f95e292, 0x5a6009e0,
+    0x17ede916, 0x26da7d58, 0x9119f634, 0xddfd56a1, 0x20ac6e4c, 0xb9b02c5a, 0x1c376854, 0xa9a77848,
+    0x8c76c81e, 0xdbc3c2e9, 0xfda029d3, 0x6b38decb, 0x6c5160fc, 0x8b824b0a, 0x737e221e, 0x12efceee,
+    0x9b9c8df3, 0xdeaad14d, 0xcf2b976b, 0xf10ac95a, 0x987be566, 0xa6310c25, 0xe5fb49e8, 0x3ab9438f,
+    0x1f685221, 0xf04c941e, 0xd15352c5, 0xfbbf5960, 0xf7002cad, 0x34112bc4, 0xd0c5124e, 0xd809f6c9,
+    0xf4d27301, 0xdcf6e2b6, 0x00827ffe, 0x64c910d0, 0xf467fc26, 0xea0da1b2, 0x243621f1, 0x11607e32,
+    0xa1c5397f, 0x98a26cfc, 0xa2ba4cf3, 0x8576e593, 0x68507aa6, 0x6e3b9140, 0xb4b51300, 0x3233e3f0,
+    0x985fd8e7, 0x0f875a72, 0x60f95fe6, 0x2d10bf38, 0xa316b3b6, 0xb0215a15, 0x824a4342, 0xe59d493e,
+    0xa38f0098, 0x5debc33c, 0xfc0e64d9, 0x1b9f760d, 0x0f094976, 0xfaf2b53f, 0xbe160e20, 0x5169eba9,
+    0x325590f1, 0x1fa90e20, 0xc1c17ca4, 0x30f20b25, 0x929d0362, 0x7296df0d, 0x03c155ab, 0xd94b765a,
+    0x5b4b916b, 0x60ba512f, 0x5364f643, 0x1deacd36, 0x5065e5c6, 0xb1255825, 0x34fc02cb, 0x25b30b97,
+    0xaa63c498, 0x496f8c2b, 0x5835f382, 0x06e3c91d, 0x9d45afed, 0x30cf7dee, 0x45b3c82b, 0xe5775e28,
+    0x107a998d, 0x12874a40, 0xb2b42bd7, 0xf1c95a5e, 0x984563fd, 0xff4aabcb, 0x4e83a939, 0x8e7e7f22,
+    0x18f2077e, 0x58f45a22, 0x40cc8026, 0xab4b1286, 0x2265174d, 0x8fac4408, 0x7e8cd06c, 0xda8479ad,
+    0x35751a32, 0xcf00640f, 0xf1e5c7f0, 0x8ebdaaa9, 0x6fcbc8a1, 0xcf8ce501, 0x15b7f395, 0x1e2323ef,
+    0x5be48fc3, 0x32835353, 0x7656f564, 0x4788cc0d, 0xf1be946f, 0xad836597, 0xa5c43d03, 0x49e96c06,
+    0x603f40cc, 0xacef5fee, 0x08a10774, 0x6a146367, 0x3b54c7b1, 0x8fb8d0a9, 0xb347bab1, 0x90724abb,
+    0x87d697af, 0xdccd52ab, 0xa0cd0059, 0x89dbbb6a, 0x4a92846c, 0x2d247f2a, 0xf13e682f, 0x006cfd03,
+    0xb3bcee4a, 0xfa497b17, 0x84fc5a04, 0x19b40a8c, 0xa1ac63a3, 0xbe7673ff, 0x247638f9, 0x273a52a9,
+    0xe8c7eb0a, 0xe59c61eb, 0xbe547414, 0x67e993ed, 0x404dd5df, 0x198eb12f, 0x588eeb28, 0xe5ef460f,
+    0x0a4db755, 0xec3ce55f, 0x5c0179bf, 0x8520ec28, 0x2b9f71f7, 0x8bc57c04, 0xeaa63683, 0x7979c89c,
+    0x3d544a91, 0x15463018, 0x01bae773, 0x4debed6a, 0x6ac35ff1, 0xcd21eb65, 0x7cce7282, 0x680f01e9,
+    0xdca5a34b, 0x500e0335, 0xc3edd513, 0xea3c624b, 0x34f0daa8, 0xdffa7341, 0x71418bd9, 0x2f1d4d14,
+    0xb7ea0a98, 0x89770baa, 0xc719403c, 0x14db5c57, 0xc47da0ea, 0x22db4a5f, 0x5e163d6e, 0x59a68566,
+    0xf3f6c240, 0xb95c21b2, 0x879ca6a3, 0x34a86b77, 0x0221e59a, 0x880d049e, 0xdabd216a, 0x62804568,
+    0xbb1e6795, 0xe516853b, 0xbc605914, 0xb75c3384, 0xf883bfcb, 0xa2060610, 0x1fd4dca0, 0xa3b1eab0,
+    0x77b582de, 0x12a5033e, 0x402a4184, 0x8b7a9334, 0x16debe11, 0xb2978432, 0x4ff7e4b1, 0x361b799f,
+    0x1620982c, 0x8af7f363, 0xb3b4b438, 0x6e9850ec, 0x2a5abd1b, 0x81d92fb0, 0xe8579ae2, 0x64380902,
+    0xa7103f0b, 0x69b217af, 0x274affe4, 0xc3a55f40, 0x4024eecf, 0x349213ac, 0xe1360bf4, 0xa526fe37,
+    0xef7a4f77, 0x0c7ce9ef, 0x72c7aa09, 0x8d2665c9, 0xa5370880, 0x610bdba2, 0x1f3c826b, 0x562bc136,
+    0x7d43282a, 0x75d0e490, 0x7aa06104, 0x536a7842, 0x75b098c4, 0x873dc375, 0x623e7a4f, 0x9ed2b9b3,
+    0xfac25a72, 0x6322ba1b, 0x955399fb, 0x8022b275, 0xc7e3191f, 0xcf269e30, 0xb9ce5232, 0x6ebcdf8f,
+    0x9ef61b9b, 0xa3fd2c6a, 0x6d82d375, 0x13771260, 0xa4ba583e, 0x16927452, 0x9f6d04ba, 0x1e08e9e6,
+    0x1ebc58f0, 0xc181f808, 0x7e80cd77, 0x63ecdf3c, 0x60ab54a6, 0xa4f6b6c6, 0x14056071, 0xba9f890b,
+    0xe7e1efbb, 0x9d7f2ab5, 0xec5c89b4, 0x805e08fa, 0x22258ffa, 0x38eb15bd, 0x4d0043d1, 0x941dc06a,
+    0xd971b170, 0xebea60c7, 0x7ec13d29, 0x418ec34a, 0xcf5dc561, 0x0be532d8, 0x988254a4, 0x516df8d4,
+    0x5f3cac4c, 0xea0c55a7, 0x1b55da26, 0x679812f3, 0x155ea8c8, 0xaadc691d, 0x29096629, 0xc7c349b7,
+    0xe395c724, 0xdae6d8c1, 0x1a2b12c4, 0xedfcd412, 0x0bb929fc, 0x5708c580, 0x5ce93941, 0x146a3699,
+    0x97ca7282, 0x39497389, 0x137cca74, 0xa62e2949, 0x055d62c7, 0x047621a0, 0x3a7b0380, 0x56239c02,
+    0x5f2bf277, 0x3abe8453, 0x876c37d6, 0x76003bbd, 0xcb9b5d70, 0x5eb645a7, 0x87b16a2e, 0xa1734357,
+    0xc7f788e0, 0xa13ba6d7, 0x81e533f2, 0x88abffbb, 0x7f94e050, 0x1d7b90ea, 0x1d99ecf6, 0x393b094d,
+    0x5d3a171b, 0x33671868, 0xb3830198, 0x2b9dd399, 0xae581212, 0x5ee56ce7, 0x6bf045b4, 0x08783136,
+    0xaeba3ea8, 0xdbd6d25e, 0x68114c40, 0x885d6d18, 0x60b4fac7, 0xdd4d44ab, 0xdc75b8ff, 0x26aa49e1,
+    0x80c7005c, 0x95a0fc50, 0x60d39b37, 0xe4a838c5, 0x1500ac17, 0x1e74af16, 0x8891aa59, 0xfde1df80,
+    0xe5921ff6, 0x5a2b5eb6, 0xc8ceef64, 0xc0f5a7e8, 0x9b5ade0e, 0x6aa64815, 0xd1cf95b2, 0xcce0ab82,
+    0x69539a46, 0x736ce7e4, 0x58f479b7, 0x7ba3e320, 0x736300b9, 0xd032e4d6, 0x7c92b7ab, 0x93355773,
+    0x51f9c364, 0x23c0d008, 0xd66ca00f, 0x4a615b27, 0xe0d4bbba, 0x777783e8, 0xf7498924, 0xc1c97b7f,
+    0xd0c9b321, 0xab42b577, 0x0bc41edd, 0xbbc53595, 0x0c45c052, 0xf33d50a7, 0xaada4e39, 0x752b6a07,
+    0xebc27ef0, 0xda8a35b7, 0xc259cc34, 0x8d577533, 0x46d5c45c, 0xce21d74e, 0x8bdc8009, 0x3e0944ae,
+    0xa5ace59f, 0xb326c5f2, 0x50e9df81, 0x1a5a2b5c, 0x76dd7b13, 0x5ace5f24, 0xfb9e1fe3, 0x01493c0c,
+    0x8bf8069f, 0xe6ba78b9, 0xbc84fab4, 0x32ed9fd8, 0x56e3efe8, 0x5dad885c, 0x66f72111, 0xcfec929c,
+    0x21756bd5, 0xf0aafcba, 0xf5db6969, 0xf244850f, 0x43e5708d, 0xb8429a07, 0x8a3de48e, 0x7b389068,
+    0x4a046f4d, 0x05fe5b38, 0xf8b0bbfd, 0xe54be014, 0x2fbd6ae0, 0xc09513ce, 0x9b3ce693, 0xfc122fd8,
+    0x63d3b4d3, 0xbdafebf1, 0xa7895d3e, 0x85515068, 0x77e0df14, 0xeacc8205, 0x7fee5817, 0xdc1c1f50,
+    0x9515e74a, 0x2cd9c515, 0x6a3adca5, 0x04eb2135, 0xa9076929, 0x6ba4418c, 0x89eeaf6e, 0x6a1f7564,
+    0xcbbc6feb, 0x158dd15e, 0xc11266e9, 0x78c9eed2, 0x7d8d2fc9, 0xa3818991, 0xb83bcf79, 0xc6e980cb,
+    0xa78f0fa3, 0xd29a520e, 0xd1e36797, 0xbf70e3ae, 0x87eca8d1, 0x577f9810, 0x4c4bc939, 0x81d48dcd,
+    0x8b9becf8, 0xb175cefa, 0x054e4938, 0x792e0ce6, 0x78c56b5b, 0x4aea713a, 0xc4400170, 0xad556f56,
+    0x43f1675d, 0xe9a9f5c0, 0xe24512a7, 0xf6a2e3ec, 0x3aa1db11, 0x9f9cc8a3, 0x0babcd2a, 0xe930eec7,
+    0xf67cca4a, 0x2c0cd0e9, 0x591f830d, 0xc87be59f, 0xe4fd9891, 0x27d40398, 0xa9872948, 0xec9d73f5,
+    0x0d0847ad, 0x5c36aaf8, 0x2547eabc, 0x637becad, 0x82b28434, 0x5b779bb8, 0x1b2fcb91, 0xd72d8213,
+    0x40107faf, 0xf7b407c5, 0x27fba054, 0xd572a61b, 0x427bf8bc, 0xc458f332, 0xe597364e, 0xf2af9e91,
+    0x644a02ad, 0x2eed4a29, 0x70d9c61c, 0x7578e64e, 0x0cfe00da, 0xf086dee4, 0x2919bb22, 0xd63c23b1,
+    0x4077ede3, 0xa2e0fb56, 0xf4104f6a, 0x7fdc7d0b, 0x66b9e8c4, 0x55d2ca38, 0x7b2a38cf, 0x43189dbe,
+    0xcb227771, 0xf8b1ca62, 0xcc1707d5, 0xfbd60fa4, 0x24c65652, 0x4c425170, 0xedbf548e, 0x80e1d77c,
+    0x1edaeae6, 0x32b6ab90, 0x7b905697, 0x8b984414, 0xa9de0fd4, 0x4f3dca57, 0xa8968dda, 0x6401b466,
+    0x8d32b824, 0xa4882d0d, 0x975507ce, 0x0bd27961, 0x81ffd7a1, 0x240a1fc6, 0x38cd0a58, 0x689c8bff,
+    0xa438b799, 0xebeebff1, 0xa8751cd3, 0xea0115b5, 0xa1a08501, 0x75ead607, 0xa716ae07, 0x7872eecc,
+    0xc0758e30, 0x5d6a032d, 0x8780a846, 0x1d056cdf, 0x1659684a, 0xb5e31f3a, 0xb6b3c30c, 0x56f588a3,
+    0xafe8252e, 0xd3eea364, 0x8b280c1c, 0xde70446a, 0xebb86cf1, 0x456fa3fa, 0xf87234dc, 0xd3f5e06a,
+    0x3abb6ecb, 0x1d0bcb35, 0xd06272ba, 0x2ca311a3, 0x5698b60a, 0xfb7ca3c6, 0x5e9b02e2, 0x4ed0bfaa,
+    0xf264ad4e, 0x62a90e0a, 0x911b1c97, 0x04715a36, 0x590121aa, 0x2618df5e, 0x52620b94, 0x0549779c,
+    0x5dddc3be, 0x96f6bfc1, 0xab9724ba, 0x24869f7e, 0x9a2032f1, 0xe48f2c73, 0x07d9a4fb, 0x1a63e040,
+    0xf63f927e, 0x1db88dad, 0x63a60e05, 0xe0ee6683, 0xd3915ac0, 0xfd37ff78, 0x8aa6e3e2, 0xecc10518,
+    0x3a8ef61d, 0x45bf1e94, 0xa25a9622, 0x617ed6d8, 0x21f8ba13, 0xb1b83e76, 0x3c6929df, 0x6d5bc0c3,
+    0xf2e13637, 0x6f4d6b73, 0x98205c9d, 0xa54dbab8, 0x69a4c89a, 0x286bdb6e, 0x8f94f11d, 0x04a46e20,
+    0xcae7ddef, 0x3b534b1e, 0x48132e1d, 0x048b1340, 0x763687a7, 0xa95c2ac9, 0xa6b8c8fd, 0x32c2dbcb,
+    0x80aa1721, 0xd460bd7e, 0xf242a488, 0x6a58789e, 0x40428002, 0xfb02c763, 0x42bcd2a0, 0xb2e084b7,
+    0x657defc1, 0x1bafaf56, 0x3d990119, 0x479ca8ff, 0xd56e5569, 0xc616fed7, 0xe295ecbb, 0x50792e7b,
+    0x73c72660, 0xf6aa9990, 0x5de7c683, 0x740cce07, 0xbcdc2cd1, 0xfa7de545, 0x04d9de1d, 0xd4a081b9,
+    0xfd59b16b, 0xefcd2dde, 0x2e7094fa, 0x02764c55, 0xf2e4dfa2, 0x1e84d99f, 0x6f649e23, 0x091f7205,
+    0x87c78461, 0xf2280fcb, 0x1152ce29, 0x010e101a, 0xf7b40796, 0x20c1797e, 0x624d0fcd, 0xd7324b13,
+    0x73ccb6fc, 0xef30b612, 0xfcbf7de8, 0x5adeac6b, 0xa55d073f, 0x5b7d6dcb, 0x9d339286, 0x5ce3c0b0,
+    0x0d5a5efe, 0x22790079, 0x87f032c7, 0xfb72f29e, 0x945d2e93, 0xd3f97405, 0x902f62ac, 0x027a1899,
+    0x06d6443f, 0xc4e6e36b, 0x16632d25, 0xdc0ccd69, 0xbf1ed136, 0x2f32525d, 0x7c1e6cbb, 0xe1da9875,
+    0xa3eeabf3, 0xc2eecd7c, 0xe59104e5, 0xd35adb33, 0xe6f755e0, 0x551624eb, 0xc4d86b56, 0x83fa8df4,
+    0xc91c55b9, 0xdf50024c, 0x9d52c831, 0x10262abb, 0x873721cc, 0x74f38e80, 0x3e80fa81, 0x5898b143,
+    0xfa4b4b35, 0xd9582bb8, 0xe9e7e343, 0xad56df3c, 0x39713a88, 0xb8adb1fc, 0x790afb9c, 0x2e8b50ed,
+    0x52016372, 0x30eea0c8, 0xf4abf0fd, 0x783dadc9, 0xa7468558, 0xdaa93ff6, 0x5035574a, 0x633e321f,
+    0x1871ad78, 0xba849643, 0xcc8b2a4e, 0x7bc118ac, 0x6c73342e, 0x28f914f5, 0x77621b30, 0xa48b5760,
+    0xb1c751c5, 0xc014826b, 0x11095b2a, 0x37bc8d15, 0x67dca23a, 0x388477b4, 0x956f2000, 0x48798e62,
+    0xcdaeca80, 0xec80fe2a, 0x0ad3bd21, 0x68c4b0d9, 0x1c849ed4, 0x1001218b, 0x596733aa, 0xbf135732,
+    0xc53d9f1d, 0x4ffa0ddb, 0xfc4595b5, 0xee3d1f70, 0x98314b6d, 0x5b0096f1, 0xe0f44e28, 0x0f3d181e,
+    0xc596b4ee, 0x727a7dae, 0xed714711, 0x8afb6d49, 0x3c22f773, 0x1c3740c3, 0xc949f8fd, 0xddfc962d,
+    0x6d3963a6, 0x88b7cc3a, 0x654a087f, 0x8aabde82, 0x8a7d87c3, 0x1711f069, 0xbbc87de1, 0xff5430f0,
+    0xa9b3b64f, 0x7850a192, 0xe3f1c20c, 0x61923637, 0xf5ee206b, 0x6cd56e9b, 0x7be85bbc, 0x62d9d438,
+    0x614db0a3, 0x9a5546f8, 0x444b3df0, 0xcb63e345, 0x4d47dbf0, 0x968802c6, 0x64c1af88, 0xa110d84e,
+    0xe3c56ede, 0x790b0fe0, 0xf796cd6f, 0x3babbd2e, 0x7c687297, 0xdbe4d9b2, 0x73b986bc, 0xe47a38c3,
+    0x197f19c8, 0x66f2837f, 0xef3b1f17, 0xffe9436b, 0x50392483, 0x87f3f681, 0xbe0d6517, 0x96a3539e,
+    0xb3c9ec0f, 0xfad15cb5, 0x1de7ca11, 0x0be37ec4, 0x2f54901a, 0x70d60198, 0x1c611499, 0x20fa244e,
+    0xe5ec5ce1, 0x5037bf47, 0xb43efb8b, 0xf34fcdcf, 0x34d2dfb9, 0x80e4215d, 0x0ee6cf49, 0x2e530118,
+    0x0d469cea, 0x3dacc456, 0xe167c3e1, 0xe947e92b, 0x88208623, 0xbe3113d8, 0x7ffe8a30, 0x0580a38a,
+    0x7da9f4f9, 0x1c19328e, 0xbea2d728, 0x108217d6, 0xae734c2b, 0x62005be8, 0x3f279486, 0xc4c99183,
+    0xfb2d3798, 0x8815d3a7, 0x4f17198b, 0xe5576780, 0x410cdf1a, 0x1b848ff9, 0x0a8261d0, 0x8c6b7f82,
+    0x0fb3b536, 0x259db267, 0x467bed20, 0x1d61642c, 0xd54dbd82, 0x1dfd71f5, 0xd32e9704, 0x64d16630,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000005192296858534827628530496329220096 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9257, 0xedfe9b5e,
+    0x00000000,
+    0xd1dc22ce, 0x9a6d1c46, 0xdcaa4cfe, 0x0a083b90, 0x390bd560, 0x244a88df, 0x40deba05, 0x3ab48e74,
+    0xec5cc8e0, 0xf0c712fb, 0x86f9e7ac, 0xd1183d1c, 0x9435d066, 0x9beaeac7, 0xf6c66ed8, 0x1518b5b5,
+    0xe431ea39, 0x6bc86d86, 0x12f08715, 0x76720d54, 0xe535491d, 0x3e9cba9c, 0x9b52c3dd, 0xdcbd50c5,
+    0x3ec84b94, 0x448fcb3d, 0xeca7526a, 0xeb5d3984, 0x640be52e, 0xb74fc9c4, 0x81214e0a, 0x99261205,
+    0x9df21258, 0x526d09fa, 0x56e5dcb6, 0x3f323dcf, 0x663fa60a, 0x24d7cfec, 0x428e775a, 0xf02a37af,
+    0x7e7067df, 0xb3ae5220, 0xf0c61115, 0x1e4181e6, 0xb68b54f1, 0xb92be070, 0xca3859a3, 0x4c9ecc85,
+    0x7e62299b, 0x09712054, 0x1c52f634, 0xe84d311b, 0x65b7247b, 0x2c70c4d0, 0xa0276d78, 0x10ce4213,
+    0x6314ecfa, 0x9fead7b6, 0xdcf6df82, 0x660cd30f, 0x61a34307, 0x386944b8, 0x79a85608, 0xf64de1cb,
+    0xcae03318, 0xb7db7971, 0x1118d926, 0x7de97abe, 0xbf5bd0b4, 0xcb20e125, 0x717a7060, 0x1f61face,
+    0x144a078d, 0x6c87595b, 0x0c23023e, 0x0a8f13d2, 0x66e7050d, 0x483adc4b, 0x65c00ba8, 0x245ad32e,
+    0x038c820d, 0x5a9b2a6b, 0xa11e10b1, 0xa58ebdc7, 0xa8e751e1, 0xf9667f85, 0x02f57eec, 0xe9b2bffc,
+    0xfa164253, 0x41af1367, 0xe9ae5588, 0xa923560a, 0x10388c2d, 0xb4d98fd3, 0x6cf5426c, 0xfc47df28,
+    0x6e118aca, 0x475f572f, 0xb438ca41, 0x648d96c2, 0xe93d8817, 0x55fa1621, 0xf2a9a516, 0x67d67cc8,
+    0x83df4f3b, 0xeac0e069, 0xc63ced0d, 0x0d63d5bd, 0xc5660ffe, 0x358317fc, 0xff62e6bd, 0x4a9b6fe7,
+    0xf4663324, 0x202e50cd, 0x49c330ef, 0x0d0c4950, 0x3291fb82, 0x6ae75521, 0x0291a76c, 0x2616f9d3,
+    0xa13575e7, 0xed03cf25, 0x07b71814, 0x4458aaa5, 0xd413c10a, 0x3c03debb, 0x11c02621, 0x91570bd0,
+    0x76f9a125, 0xc11f1885, 0x08d7ba23, 0xe90a17dd, 0x23c8d875, 0xe16ea3ee, 0x24dc74c8, 0x9dd83384,
+    0x4ec06a93, 0xcbf5c924, 0x60208b0d, 0xf7696cdf, 0x0059535e, 0x8b7a2f03, 0x3a59f69b, 0x470b6afc,
+    0x390e59cb, 0xce7cabaf, 0xd1897b7f, 0x897eec04, 0x866e1c34, 0xba1b4463, 0x0466a1c7, 0xf552701f,
+    0xf508cec8, 0x10828439, 0x09763632, 0xb6e09343, 0x34cee053, 0xa6cbae40, 0x3d570bff, 0xfce6002c,
+    0x4d9400ac, 0xb23a6681, 0x2e05d0a1, 0x310cf8ca, 0x8fd79bfa, 0x95bac0a4, 0xc6af4fb1, 0xaf5b38f1,
+    0xd4a302e8, 0x4e31a7a9, 0xbb6645af, 0xfc3872f2, 0x05889e18, 0x55a5bc50, 0x4d850fac, 0x15d5c02e,
+    0x6f00758b, 0x5dfd9da7, 0x19e7c2ca, 0x3c20850d, 0x5c9cd7f5, 0x985afcce, 0x63aab728, 0xf36290c8,
+    0xf03b073c, 0x4055ccbf, 0x2d49230d, 0x3817eebe, 0x6bb030d0, 0x49b741ad, 0x0a18720e, 0xd1e8a590,
+    0x41ea76c4, 0x024a4e76, 0x3d924554, 0x305c80c5, 0x2a6da959, 0xfd176142, 0x199abb3e, 0x654d15ee,
+    0xa5b32bef, 0xee5cbd4e, 0x7969bd5d, 0xb4090389, 0xc87c3bcc, 0x91164196, 0xa44cf61a, 0xd81bd73e,
+    0xea758a0b, 0x7a11c439, 0xc617f875, 0x841ceaf7, 0xc5ccdc2a, 0xb7672b02, 0xca61e33e, 0x55290bb3,
+    0xb7739e29, 0xbe8e7543, 0x1b90980b, 0x63686129, 0xdce8d78e, 0x4f59fac3, 0xa2329114, 0xb25adcab,
+    0x4c0124c7, 0xeafea46f, 0x6a081e18, 0x5109a338, 0x43aa32e2, 0x1f310d45, 0x917f4d9d, 0xb86f5209,
+    0xe2cb6d19, 0x54a5d06a, 0x63da86ff, 0x53de11ce, 0xed91be67, 0x6b214d03, 0x9d538cf6, 0x92c4727a,
+    0x55d72721, 0xe1f6da02, 0x653c3640, 0x3d37da6a, 0x40eb1060, 0x7b03add7, 0x68ba8f84, 0xc2d81367,
+    0xdde3a1ee, 0xbc565670, 0xcbef7902, 0xd02daeef, 0xbdb1a243, 0xcb4ce677, 0x24cd03e3, 0x086ff49c,
+    0x3d1b76ec, 0x1c8dbbd9, 0x0884fa20, 0xf3e8936a, 0xa83ec471, 0xcbceb10b, 0x6725d3f9, 0x06ee3102,
+    0x9a41783b, 0x9f1ecbe3, 0x431723e1, 0x87369d10, 0x51db7cf6, 0xcf9a306b, 0x72803d92, 0x2cbd49e0,
+    0x92eff13e, 0x9ce37d0d, 0x89e3a03a, 0x4004222c, 0x877032d8, 0xebc3d6ca, 0xbff2ac5a, 0x63d157a6,
+    0x9dc41258, 0x8688e86e, 0x71756b8d, 0x4e4c13e0, 0x726ad7bf, 0x83a2cc14, 0x5cd599c2, 0x3e18b636,
+    0xb7cc4297, 0x5c37c35c, 0x674999f8, 0x4b799dbb, 0x5dc11091, 0x739568e9, 0xae22091b, 0xbbe00966,
+    0x59e966e4, 0xe873ce42, 0x6e6f5e83, 0x88776b87, 0x3460272f, 0x3c055239, 0x00eadcdd, 0xbe903c11,
+    0x2b7bcdc1, 0xfef3a3a6, 0x0d8fdb4a, 0x45045226, 0xc747a8fd, 0xfb546eae, 0x35c8b620, 0xe9f761b2,
+    0x53b74bca, 0xe4144166, 0x821dd21e, 0x78418ef9, 0xb5786568, 0x7c99d61b, 0xc6093de4, 0x18d82a69,
+    0xd7bb3f8d, 0x98cb7fdc, 0x4df182c1, 0x68ef3178, 0x0e185bb7, 0x1f3ae1b2, 0x78d76ba9, 0x8aecd916,
+    0xf03ec47a, 0x71b0234d, 0x5904e850, 0xce70ef90, 0x2cd846a0, 0x770b51c8, 0xe6314ed6, 0xe5e53af7,
+    0xa7379810, 0x0317023f, 0xa282a486, 0x2dd91c9f, 0x6f6fe8dc, 0x7004f757, 0x2257ef1d, 0xeadab3a3,
+    0x2b162cf8, 0x1549d902, 0xd58c2890, 0xfa3fcef8, 0x0676e34c, 0xe9ec631f, 0x419a06c6, 0x2858a2b1,
+    0xb5624214, 0x21e48825, 0xb214eaf6, 0x85d42936, 0xfc29dccc, 0x3bcec961, 0xbc3f9d53, 0x71daa6da,
+    0x70075f1a, 0x5da9c5da, 0x3a267e18, 0x4c7b1dc4, 0x77f4b19f, 0x2f8f0447, 0xdd6f4562, 0x3704a6e4,
+    0x0bdc9908, 0xd385dd28, 0x5bbc0c32, 0xe5a3cd82, 0x1eb49d7a, 0x3ceab115, 0x9034c25c, 0xa0b8013d,
+    0x1eb9bd92, 0x456ed2ba, 0xd5a2920e, 0x2e1fb20a, 0xee8cd2b8, 0xf392b0e1, 0x303a49a3, 0xd3312199,
+    0x3240e053, 0xe91cc028, 0xd314a3fc, 0x76700153, 0x2f4f6ee0, 0xddc11229, 0x672c3a7c, 0xab2b9059,
+    0x7380ffbd, 0xcff841be, 0x5a7030ce, 0xdddc197c, 0x46b1eaa3, 0x9188fe3c, 0xf4160e0f, 0x4aaf0d83,
+    0x08deb505, 0xfbc3898f, 0xc4036321, 0x8f5824e1, 0x2e477907, 0xdbbdf545, 0x556243ad, 0x21b82ac2,
+    0xff274b31, 0xafddd07c, 0x92213d1a, 0x2be3eb12, 0xceea9852, 0xf526fe2b, 0xdb663f04, 0x114a8e6a,
+    0x398fed96, 0x2879f401, 0x16393fbf, 0x4fff9b4a, 0x7340d143, 0xf50b6d38, 0x515dfd4a, 0x7f39bde1,
+    0x056fce43, 0x7721b72a, 0x713894b3, 0x1728cf8a, 0x06ad7c3e, 0xad16576a, 0xb0893d07, 0xb0335ebd,
+    0xa46afed8, 0x5c3f75ee, 0x576322de, 0x8322bba0, 0x130f01dc, 0xdb775f36, 0xf8dd3c48, 0xc4a5f429,
+    0x2471da06, 0x93e0b055, 0xbba00119, 0x77882587, 0x076fad89, 0xc33cd9fd, 0x4f96aba2, 0x7a8bb9ea,
+    0xea78858a, 0xd85961e1, 0x74447bf2, 0x0cd54853, 0xae580296, 0xa3deebe0, 0x10f081b6, 0x9f318368,
+    0x5599b081, 0xc6824158, 0x5207cc03, 0xc6422ff2, 0x1cc61ea5, 0xe67f309c, 0xd27a6567, 0x6b0141e8,
+    0xc4656fd7, 0x7add9451, 0x9600a410, 0x0d7b8489, 0x4cc460a6, 0x5f422483, 0xb387d6c8, 0x57b1ae2c,
+    0x0b7b3757, 0xcdeeb4e3, 0x82a813c6, 0x01392aef, 0xb7df5c5c, 0x4d87e57f, 0xd09ed4f4, 0xa5b66b7a,
+    0x38aaa8b5, 0x30809936, 0x11709f84, 0xc44c7101, 0x6628367b, 0x78dc886f, 0x7d6c9b27, 0x4d1e2fc8,
+    0x310e1f83, 0x6022193a, 0xd3a14bcb, 0xfa4adee0, 0xc69699ad, 0x88e5eea0, 0xf502acc9, 0x3437b8ad,
+    0xd14a7c7b, 0xf26a33d6, 0xe6bb2e0c, 0x5ac2178f, 0xeea91264, 0x1668280d, 0x56b2bd1c, 0xee4e6a80,
+    0xef8b59ee, 0xa76c5056, 0x6d174a4c, 0x2a5046df, 0xaa54ba4b, 0xab6f3c91, 0xce260505, 0x55432414,
+    0x1c31c387, 0x81eb27dc, 0x6b33646e, 0xa9f9b6fc, 0x52472015, 0x85f7e223, 0x576ae374, 0x3d600f8c,
+    0xe21ae445, 0x50cd2111, 0xd8c9d0b6, 0xccc4c15e, 0x9c5240db, 0xe9bd8541, 0x4dbaf711, 0x01354b78,
+    0x89ff367f, 0x182f2308, 0x006db437, 0x6df4e4e5, 0x2b477e08, 0x1925412f, 0x68ba850e, 0x2ecc3af9,
+    0x298b84ad, 0xb7148587, 0x6e92e893, 0x0c01b50d, 0x185eeba8, 0x6f5c08de, 0x34515feb, 0xf9997c92,
+    0x00d28351, 0x00941b45, 0xfa2143a7, 0x0b506050, 0x9716fe6a, 0x1672573d, 0x58e55f3c, 0xfce107c1,
+    0xb973f4b0, 0x93f73dee, 0x48d0d490, 0xbb1a4a77, 0xf7f76a0b, 0x57f6088d, 0x93e7bcce, 0x82c07f99,
+    0x2076c2d1, 0x37315022, 0xbbd5dc92, 0x3579e2a3, 0x11071bf2, 0x04fba548, 0x9d3c51b7, 0xc7f20224,
+    0x209a2945, 0xeba7684f, 0x7746d77e, 0x518b883f, 0xf32a14b2, 0x5af0cc83, 0x86ec7652, 0x1c828538,
+    0xef13356c, 0xfe7543b2, 0x2f44ad74, 0xb8d9a13f, 0x1bf55c58, 0x9fe3cfdf, 0xe0ac5132, 0xba8b5ae5,
+    0x0ad8aea9, 0xf2f61845, 0xd49ee607, 0x62cd34bd, 0x5762627f, 0xb24b7719, 0x898bebe0, 0x8eab8b86,
+    0x32962402, 0x4aef3664, 0xe7f9ea33, 0x91d57359, 0x37dbf936, 0x2685cbe3, 0x5144d9c6, 0x803410e4,
+    0x50ff02b7, 0xd64ed17f, 0x77b8577d, 0x73488ce3, 0x1ba96048, 0x1092f2d1, 0xf6aaf2a2, 0x0ec29f01,
+    0xe6c54882, 0xd5fd67d2, 0x1f6a7aa8, 0xec46336f, 0x5dd0edf9, 0x2444100f, 0x586faa34, 0xe544cbf8,
+    0x76b5347a, 0x30487849, 0x82beda87, 0xa38df48b, 0x9e4ef736, 0x01f86887, 0x65286468, 0xc5ead759,
+    0x573d315b, 0x435a72c1, 0xd46d7c76, 0x6c8c82f9, 0x3ac3bda7, 0x44b71452, 0x0b70baba, 0xaaef2a8a,
+    0xfc32b5a9, 0xf1aeb387, 0xcc5607cb, 0xbbb65d41, 0x85c871cb, 0x15de950e, 0x3f9352f8, 0x9051d955,
+    0xdf0186e8, 0x7646729a, 0x8e681f10, 0xbed72dbf, 0xf5ecac4d, 0x8b5a69c4, 0xffa2c4d8, 0xc0792fe5,
+    0x09ab458b, 0x805ed5e2, 0x4b251697, 0x599452db, 0x37c5c57b, 0x3f290852, 0x25cd6966, 0x867be00d,
+    0x14aee0d6, 0x2ec4b979, 0x6dac30c0, 0x15fee3b7, 0x00b1a198, 0x0da9bade, 0x556ce264, 0x454591a5,
+    0xe3262bcb, 0xc52ebbdc, 0x0ab7a4c1, 0x36102a92, 0x44929bfe, 0xa8a35303, 0x0602aa91, 0x8364bb40,
+    0x103b5a85, 0x812fb14c, 0x6bb1d6c5, 0xec2507b9, 0x32ef3e8d, 0xa79f0931, 0xe4e66518, 0x96da8fa9,
+    0xd6c25aec, 0x71215467, 0x501ba8e6, 0x39bc0bf4, 0xf0eb6756, 0x195c6bcf, 0xf39fe903, 0xde9fa5ac,
+    0x135855d4, 0x2002653e, 0xff902459, 0x03865ef3, 0x992501a8, 0x7f8881a1, 0xd9767e06, 0x66249973,
+    0x20fb3ae8, 0x767a964b, 0xc901ea8d, 0xeca8feb3, 0x4372f06d, 0x632ba89a, 0x2f565e39, 0x7d5e8b8d,
+    0x773244d0, 0xb57caef2, 0x7a624699, 0x7f744db5, 0x77bb6274, 0x02d9d4cd, 0x7f640285, 0xbbfb30d4,
+    0xa4050b2a, 0xf9d0fe4a, 0xa0ecfbe8, 0x05d8afd5, 0xc45b885d, 0x19b88eac, 0xba22dac8, 0x17657746,
+    0xcadc521f, 0x392baf05, 0xb4fc14f9, 0x39af450d, 0x6d02e2e2, 0x2d4bc853, 0xe1e4c606, 0x6fa549e2,
+    0xec31fbb6, 0x8cc38829, 0x75c96beb, 0x94a69a84, 0x1bb971ec, 0x3010b2f3, 0x9f4a4778, 0x69fa890e,
+    0x19bb3ebb, 0xc29608ef, 0xe25f033a, 0x2eb7bc2f, 0xa66a1a20, 0x8018e6a2, 0xb2506ce4, 0x442cd68c,
+    0x5fc12a3b, 0x5a73dd0a, 0x647ec0fa, 0x571c9a30, 0xa4651bdc, 0xef9e06e1, 0xf4651b97, 0x62c2ba7f,
+    0xe92aa571, 0x89d76d4a, 0xf61e2fc5, 0xb3d00fd4, 0x7eafb3e8, 0x1ef71d91, 0x06ad7645, 0xb25d9bc3,
+    0x519d0235, 0x34d9838f, 0x930ae974, 0xddb812df, 0x98d8c124, 0xf4feaa2b, 0x0fac998d, 0xbe089a17,
+    0x6ac08564, 0x5e0bed9e, 0x3d6ac426, 0x93f1b497, 0x32ea40e3, 0x81151dc6, 0x6f622fff, 0xfd833780,
+    0x50b5139e, 0x071496fc, 0x4e851582, 0xa9d43e61, 0x7fc7a0c9, 0x1621aac2, 0x2f608eff, 0x9d6340fa,
+    0x005e1c62, 0xc1e13bf9, 0x41883232, 0x3368f0a2, 0x0b49b728, 0x201bb418, 0x2e1edd3c, 0x4d1e8678,
+    0x0633042e, 0x6922206b, 0xc1ed0d9b, 0x51a86377, 0x3580b37a, 0x66d31846, 0x99f607c2, 0xdfe98ef5,
+    0xb54b0b41, 0xf8e1b732, 0xa27f5f67, 0xb71feff5, 0xd41fa1a3, 0x0e81c1a1, 0x9241363a, 0x76ad5e71,
+    0x14bf6c74, 0xc943876b, 0xbb0118c0, 0x501e0beb, 0xbc973ffe, 0xdecac5cc, 0x88cbfaf5, 0x8708c549,
+    0x92792c4e, 0xe035c21e, 0xae503a12, 0xca15e2c8, 0xa8eeb1ce, 0xf1ece333, 0x02209ebc, 0xcc327f31,
+    0x1973ee43, 0x199475df, 0x1b1de068, 0xbceca19c, 0x281a10d1, 0x9345ed26, 0x9ef01756, 0x937fb300,
+    0xdaac5630, 0x69e93b7c, 0xe7d79311, 0x0269b77d, 0xd5bc1863, 0x09089a3c, 0x9e73fba1, 0xf37a73cd,
+    0x7a7ea47c, 0x77edfb5e, 0xac471df8, 0xd599a473, 0x1497a421, 0x7fe0e6eb, 0xa7b59b54, 0x950fcf18,
+    0xb643f707, 0xc0d2b941, 0x727a4dd7, 0x543ea751, 0x1de13a7f, 0xefd52166, 0xc2c40dfb, 0xf2355b14,
+    0x45bb7555, 0x748e24e6, 0x3d6f43c7, 0xe064caa1, 0x2ad0a444, 0xa6f00764, 0x80884e10, 0x47465103,
+    0x6c8d3a48, 0xda18c479, 0xdf22b4aa, 0xcc699be6, 0x69b5c5ef, 0x35d18995, 0xfdfd2d93, 0x313e0bc8,
+    0x168044ef, 0x46d8d22d, 0x156baf44, 0xf4052fad, 0xc54e7c5b, 0xc6ead0c5, 0x9b137754, 0xcc789920,
+    0x6e66c75b, 0x4bccd587, 0xb76b208c, 0x6fff7479, 0x1331f1e8, 0xbaccfd3b, 0xc4d305d1, 0x67d6888a,
+    0x6f9bf7bd, 0xa4055b3c, 0x17aceee7, 0x91601403, 0x198929b4, 0xe84f0952, 0x94788eb2, 0x11eeb7e0,
+    0x3591d8f1, 0xa806e206, 0xcb6d7200, 0x47ff1489, 0x3fd4ee17, 0x04e718ac, 0xc1076e4d, 0x9dfea894,
+    0xf0ff0e21, 0x337ba3c3, 0x6c786a73, 0xaaca46d9, 0x0f13f93c, 0x067fe850, 0xba4a8af9, 0x1c69c998,
+    0x258972e6, 0x85f56858, 0x33c1faca, 0x7915e11e, 0x94d1b328, 0x0983284a, 0xf74985ca, 0xb4d516db,
+    0x05d7fc73, 0xab6bd935, 0x8846b55c, 0xf153b6c2, 0xe479a1f0, 0xb6893016, 0xf237a94d, 0x11eccd0e,
+    0x36439e13, 0xa5cf2850, 0xc152cab2, 0xe1100a9b, 0x87331518, 0xbcf18b8b, 0xaa78e3b2, 0x34627614,
+    0x0a7fa420, 0xbdde2f49, 0xbdeddfb3, 0x523d5b47, 0x90f2db58, 0xd2235695, 0x7d77d154, 0xd3db6cc2,
+    0xaae1edce, 0xad451e4b, 0xfe296ada, 0xc7917353, 0x097ceec0, 0x7e931b60, 0xc0eada3f, 0x16b495c8,
+    0xc9a57446, 0xcee43b57, 0x467cc70f, 0x9c341363, 0xbb90876d, 0xc6cbd8b6, 0x551cf897, 0x2bd63190,
+    0x2aa84819, 0xb10e6864, 0x4f64946a, 0x24f02c6a, 0xd7f67f1f, 0x0d22ffb2, 0xf5303fcf, 0xa3a4552f,
+    0xb253a5be, 0x84ac3226, 0x68724947, 0xcd41efc8, 0x861d36d0, 0x8b3ddac7, 0xe02bef67, 0xe5ce6f1a,
+    0xb9262da9, 0xb83e6071, 0x251448df, 0x4f9e0c34, 0x728ccf48, 0x2ece167d, 0xb8ddbf42, 0x99ae3872,
+    0x4ab197f2, 0xa121126b, 0x2be26801, 0xf1222f40, 0xbd4bdb32, 0x10cb3aab, 0x4130f823, 0x4b63ce89,
+    0x792428e2, 0x9d19e363, 0x285e0788, 0xec1c6ca4, 0x911693ca, 0x873834a7, 0x12ece267, 0xcea4e2fb,
+    0xd0bb4b10, 0x9531797d, 0xd1ed69f1, 0x9fad75a9, 0x781f9cc3, 0x3b57f6f9, 0x3134726e, 0xecf65231,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000002596148429267413814265248164610048 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492b, 0xf6ff4dae,
+    0x00000000,
+    0xe7c8e084, 0x7276b269, 0x5b021cba, 0xa17f016e, 0xb097583c, 0x7db18ce0, 0x3e361e24, 0x8726dfa6,
+    0xf2f16646, 0xf4da5919, 0xda680b53, 0x7e5deed9, 0x68004659, 0xf009ddb9, 0x7e41ae1a, 0x2378bbaf,
+    0x077abf85, 0x2649abdb, 0xe6e8ef53, 0xc6d3002a, 0xbea781b8, 0x85f4118d, 0xc9d31477, 0x8f87e6f3,
+    0x8897c091, 0xa256c9b4, 0x845fabd4, 0x5cd35ea5, 0x30e239fd, 0xf099e70e, 0x8e12bcae, 0x6432773c,
+    0x2ae1d513, 0x6411c222, 0x95f3034e, 0xdd4de74d, 0x03fbd6bd, 0xfe4ceb1c, 0xc755f3f3, 0x322d1a28,
+    0x1311d996, 0xcc41497a, 0xaee7bdee, 0xcf9d4fc8, 0x1c351638, 0x87c2ac1b, 0x98848a8b, 0x7738b734,
+    0x9b7f2391, 0xeba9366e, 0x733a1dc7, 0x01040e1b, 0xb7a565aa, 0x555cd0d1, 0xe10a4b29, 0x40bcc2b3,
+    0x1d3297d0, 0xd81cedf5, 0x626d2f9c, 0xf5b365ae, 0xda3d0e8c, 0x5baf65e7, 0xc4e57b33, 0xcd21b33a,
+    0xe1fbb09f, 0xb2bf8ca8, 0xdbf5812d, 0x4e0d0075, 0xb6b3bf5e, 0x8dd3987c, 0x9582f5a1, 0x32f7c4c0,
+    0x7b7beb8b, 0xfe7c341d, 0xea47eac3, 0x2b6b11d3, 0x90755231, 0x9e6ac642, 0x1b03e813, 0x4c7a66e0,
+    0x2ddab4b9, 0x0ab2f261, 0x2e489428, 0xc60ce3d9, 0x7bc92796, 0x93916833, 0xd08e7e99, 0x1f4b0644,
+    0x0c938a19, 0x5cfeaf35, 0xdb9bb82a, 0x719bec02, 0xa40553aa, 0xc57fc1c6, 0xf1c10503, 0x236753b3,
+    0x24c7d830, 0x103c31c0, 0xa1b80275, 0x3ac60889, 0x3902f960, 0xad8c4996, 0x8252f719, 0x64d50e03,
+    0xcf7cb4ac, 0xc309eb2a, 0x5b78f884, 0x7c16f9e1, 0x1983e3a0, 0x72da8863, 0xf76fa792, 0xee0880c2,
+    0x08bbfcfd, 0x2e0c9791, 0xfe134fce, 0xb12d42e5, 0x2abd5cb0, 0x8af786d6, 0xf709f6e2, 0x14855f43,
+    0x15c024d7, 0x9184bb9e, 0xb7719c21, 0xba09d433, 0x714173d4, 0x46f3abcf, 0xa21c7901, 0x19be6690,
+    0x684d6f56, 0xfa037399, 0x57b6c37d, 0x954e44f8, 0x176b20d7, 0x30fa6816, 0xc7c74eab, 0x67dba34b,
+    0x1bdcd2ea, 0xe3b6c026, 0x0ca8933f, 0x4e76b5f1, 0xdb099ec8, 0x3814b01b, 0xad821e0d, 0x6625b0a2,
+    0x762d2c01, 0xcdf9d9b7, 0x2c45a8fe, 0xe98f6f66, 0x2ae5ac1a, 0x9446dbe5, 0xd6b6619b, 0xaf3baa47,
+    0x28da94c8, 0x42bb4b42, 0x5dc68c7a, 0x02ba2bc7, 0xab5b6b5f, 0x3275f1e7, 0xd3301af2, 0x8da33819,
+    0x444415e7, 0xa37fb6d4, 0x1c303635, 0xef22dfb6, 0xce9559b4, 0xf3a21fb3, 0x8859b42f, 0x2b452c20,
+    0xfca91581, 0xdeacb67c, 0x7edb07d5, 0xd7eacbdf, 0x904cab9a, 0xfddff03f, 0x92997b50, 0x6bc1a187,
+    0x7233cc17, 0xca07ceba, 0x0ee7e4f0, 0x1cb9537e, 0x7b36045d, 0xd30d64fe, 0x0b6d7840, 0x529ed652,
+    0x103e0ea4, 0x8c1c0e5c, 0xf91f72d1, 0x2a85b377, 0x3e980723, 0x5031425c, 0x6bc6649a, 0xb9a50974,
+    0x716235e3, 0xf09d48be, 0x018a4c30, 0xe691879d, 0xfbc8338c, 0x94dff9a8, 0x2e07fa2e, 0xdf58ffa2,
+    0x60032fb2, 0xf3ffe8ef, 0x249cb9b4, 0x6f7ef15c, 0x2058b8d1, 0x34a1f337, 0x45b04605, 0xf0e0b2c4,
+    0xb5d4d74f, 0xeff27b37, 0xb531460a, 0x8f86b776, 0x2289fc1f, 0xb4544774, 0x6aa09d17, 0xd34bfdac,
+    0xc1458a68, 0x0fba6fd6, 0xd4ced172, 0x3848e721, 0xb5aa93e3, 0x94bd32f3, 0xf7d03101, 0xa86e5bbc,
+    0xc567ee36, 0x288e7d3e, 0xef823de0, 0x98aae07a, 0xeedb0bda, 0x911714a2, 0xc41a2566, 0x597257a5,
+    0xd6c251f1, 0x05c03e17, 0x489ce53a, 0x783cd59c, 0x0d6b231f, 0xc89dfd00, 0x808d89b4, 0xe928d1dd,
+    0x558e4023, 0xb4037036, 0x6252bf5a, 0xfe4f0759, 0x2fe97387, 0xc2a10902, 0x592079af, 0x43ba6fd6,
+    0xb41e6e80, 0x163b573f, 0x8c40804e, 0xccfc48d9, 0x9a8877c4, 0xfb7d1479, 0xf9d55ada, 0x76260b51,
+    0x24273c0c, 0xebbc99c4, 0x85849076, 0xb8f97591, 0x5009267c, 0x51b997ca, 0x949fecdd, 0xf96df47a,
+    0xa51a9be1, 0x76eaf450, 0x3f01f4b6, 0x86f66db1, 0xc2137b94, 0x290b2fdd, 0x5ac36904, 0x995b7811,
+    0x0aef37f8, 0xa14f5281, 0xa779bb41, 0xf43808cf, 0x00467c98, 0xa601dfed, 0x676e49a1, 0xe0acd68f,
+    0x79e3b657, 0x5bebe924, 0x6d463f7a, 0x9817e148, 0x8fb8c1f9, 0x12cdcdd8, 0xf83c87be, 0x1925290f,
+    0x3cd727ea, 0x54036e7f, 0x5e4e9a37, 0x690098d1, 0xa0d8a53c, 0x68961b85, 0x9294cec2, 0x044a1d6c,
+    0xa84a709d, 0x24903803, 0x74c2c34a, 0x539a3407, 0xe30a079f, 0xac54f5e5, 0xb39ed306, 0x5e5d3649,
+    0x3e2eba5b, 0xc38c1d11, 0xb5a417c5, 0x2ae6b530, 0x27134c78, 0x652e2562, 0x9326a8fe, 0x9afdf597,
+    0x61fe4153, 0xa5e54e2f, 0xed1ff7b6, 0x89dd6e46, 0xd7d1e09a, 0x663bdaec, 0xec96460d, 0x8ea2a76c,
+    0x0cf97e4a, 0x373382ea, 0x4a0fb83b, 0x379a72e0, 0x093f98d4, 0x1d41c289, 0xdaf612dd, 0xb916b89f,
+    0x10abf3d4, 0xdd39b134, 0x6c3d0aae, 0x7f161571, 0xef5735b4, 0x2dc01dae, 0xaf44479c, 0x4f74147a,
+    0xdd6edb98, 0xb2b09701, 0x4bd4fa5d, 0x31aafef3, 0xc84fdd9d, 0x4bc59cc8, 0x7d90016a, 0x09b98820,
+    0x74a6f31c, 0x0911d75f, 0x46f354cb, 0x5215baca, 0x9164188a, 0x18966b04, 0x69b126c4, 0xebb2cd39,
+    0x012f0197, 0xb043c8e7, 0xd0bcb7de, 0x4a52fb6f, 0x1524741e, 0xbd59c77e, 0xb1075513, 0x626ccc9c,
+    0xa84ccbdb, 0x50947a2a, 0xbb239d33, 0xc0be5774, 0x13ca2d9a, 0x6dca73f0, 0xb8f80f86, 0x0d1b13d0,
+    0x07ae9b3e, 0xc9a7210d, 0x7beaa839, 0x52f574af, 0x38515d0f, 0xff72a4d3, 0x8e49a616, 0x4e8d75ce,
+    0xf01b6e94, 0x695e4371, 0x639e9f14, 0x6929e627, 0x53afba91, 0x9c0a9b6a, 0xb5955395, 0x2ef7c6e7,
+    0xf2fc4d2f, 0x29ebf107, 0x5725cfd6, 0x984ad52b, 0xbbf81f61, 0x53c8a013, 0x8abd26e7, 0x3611a9d6,
+    0x7c8ae0d7, 0x1613ae40, 0x5e3053b5, 0x296f29e5, 0xf37ee8ad, 0x85dbc151, 0xa3f49167, 0xbe7e4365,
+    0x234d3b6d, 0xc0c58095, 0x7382a095, 0xb8c1c1b5, 0xa37c34f7, 0xed75527b, 0xb963370d, 0x8f91ea37,
+    0x335b92ea, 0x1ca28746, 0xf93a2bb4, 0x56cb2eba, 0x1eeea086, 0x5428e87d, 0x1834d003, 0x29af515b,
+    0x5772d955, 0xf7a5a6a1, 0xdb9638ea, 0x84811ba6, 0x8fcc960e, 0xf8291183, 0x18a9d7b0, 0x334cb451,
+    0xb3bee6fc, 0x741bdaef, 0x537564e2, 0x2b3bb8ec, 0x43480151, 0x655a4c12, 0x92396d3e, 0x472b8493,
+    0x6842ad23, 0xa075c1d7, 0xeae262a0, 0x7daac5bf, 0xfe24d856, 0x3a71a6e5, 0x2e92b181, 0x18c69dad,
+    0xb553b05d, 0x28956b96, 0xa67c87a5, 0x1cdba657, 0xf205d141, 0xc859933b, 0x57415afe, 0xeae82e81,
+    0xe92f2252, 0xf6e4623f, 0x7ddd9edc, 0x58ed2441, 0x828c2ae6, 0x8c6bda2d, 0x435f8520, 0xa049fbb4,
+    0x8b48822f, 0x472b9582, 0x122ccc17, 0x068f46c0, 0xfb2bce0b, 0xefa1277c, 0xbdb30021, 0x0d6754df,
+    0x4ad65543, 0xd3f7e280, 0x3ecfcca3, 0xe36886d5, 0x828a5d77, 0x49ce8df0, 0xece8b5b7, 0x2642c934,
+    0x94a4d83c, 0x408a9b7b, 0xb4e4b1bf, 0x15dc6d59, 0x904e3060, 0x8a88e1c4, 0xaa9c0a3f, 0xacd40ef1,
+    0x3d737998, 0x55b14a72, 0x4f41098b, 0x8b4d2c2c, 0xaf639d85, 0x1a4fda53, 0xbb74255c, 0x79e76450,
+    0x98f1eb12, 0x9ec8a826, 0xef90a02f, 0x27a2ddd7, 0x534d8af7, 0x313b1728, 0xc43b9759, 0x33a5ff08,
+    0xb6d8e409, 0xf83eac6a, 0x6d8876c2, 0x2086eb9f, 0x529958da, 0xfe7cb698, 0xad8c512f, 0x0c4f4951,
+    0x2c019b7f, 0x031fd508, 0x9c28f8b4, 0xf7bf587b, 0x79daa8a7, 0xdd2c5cf4, 0xdc7d6794, 0x24261935,
+    0xffb17ae3, 0x86f722fc, 0x4bb9d849, 0x97e27f25, 0xcdb377ae, 0x8cfcc58f, 0xe4363dcc, 0x089ebf65,
+    0x7697b23a, 0xe1d4d448, 0xfdb7f7ec, 0x9fd44cd8, 0x66f5b6a1, 0xcc458d1c, 0xdd785a74, 0x0cb4857f,
+    0x787b0f63, 0xbdc04b7a, 0x59070225, 0xc206f1ed, 0xabd29f6a, 0x91d65877, 0xc88db575, 0x33030b2e,
+    0x67eb0cac, 0x9089e9c1, 0x64cce5b5, 0xe7ef640f, 0x0a7e772c, 0xd9f7b78e, 0xcc8e27bb, 0xb3b50d39,
+    0xe90b50de, 0x6207f464, 0xc95bbf06, 0xc0d6d260, 0x3591cae4, 0xc59253ad, 0x80ba22cf, 0x63324267,
+    0x489b0a49, 0xf87e0a01, 0x292ce425, 0x59de6bc1, 0x0db064d2, 0x19cec234, 0x70995454, 0xd7011066,
+    0x64ce95ea, 0xe3f2b31f, 0x8022bf1d, 0xa51e8b89, 0x6943cb39, 0x6ddca73e, 0x3c301589, 0x5e0e480c,
+    0x5824c9ed, 0xe7bea539, 0x38b395ae, 0x1ed600b6, 0x9c827aee, 0xac32fed9, 0xb498198f, 0xcff93e13,
+    0x117a9883, 0xb2aefc40, 0xfe660c51, 0x8f88e3e5, 0x5bee04da, 0x646bd96f, 0x951d2e08, 0x8487c06b,
+    0x541747fb, 0x89f1ff9d, 0x5f0762bf, 0xc7704e66, 0x818b7780, 0x66596a18, 0xb758b6a2, 0x1610a151,
+    0x7aa23044, 0x7b4ab7d3, 0xeb4e8f88, 0x37f338c3, 0x612cbb02, 0xbc7ebca8, 0x038255cf, 0x0c12ca4f,
+    0x1c7ac3d9, 0xc985b96b, 0x735e83ef, 0x865b71ee, 0xdf36310f, 0x527c1501, 0xc592e569, 0x0a55bbe1,
+    0x8a2fbd03, 0x51d6d800, 0x03d0864c, 0xe70b8ff4, 0xd9a957f8, 0x530ecdbe, 0x361c906f, 0xdf3b7b71,
+    0x14fd247a, 0x8033cc08, 0xe29f71dd, 0x97c93651, 0x1f6b4d74, 0xdace5014, 0x32a08e14, 0xcf221568,
+    0x627fd090, 0xb0c11d36, 0x660b7dda, 0x77ab898b, 0xf1d8a79a, 0x76b15b03, 0x58541c26, 0xa096cc57,
+    0x207cf80a, 0xbfbb2697, 0x68083e55, 0x1d305958, 0xe16a6d40, 0xd6a60ab5, 0xe07255cd, 0x4dcd3884,
+    0x17f483d0, 0x21d28eee, 0x7ef31b2f, 0x078abc2a, 0x6231fb99, 0x3a135f7e, 0xd0e7f9f4, 0x338fb595,
+    0x2fa70a04, 0x011e640e, 0xc899cba6, 0xc744ae6f, 0x6d093b53, 0xc761da86, 0x7007a8ba, 0x03f01921,
+    0xac1118fe, 0xa2974594, 0x28f4a32f, 0xe635cde8, 0xfb84c18a, 0x7c77f23c, 0xaa31c363, 0xa91da45a,
+    0x7d7362d5, 0xcbe5e93f, 0x03698fa8, 0xc6d0de15, 0xa22eeb09, 0x3154c677, 0x0660b7d1, 0x5b2c748c,
+    0x804c4c51, 0xd5669465, 0x3db97882, 0x1a230a44, 0xde3db6e8, 0xfaa461c9, 0x3945968c, 0x28011baf,
+    0x3705f990, 0xb7320ac4, 0x7237eebc, 0x074f94e6, 0xf766daf3, 0x9a44ec59, 0xb16f634d, 0x7ab86e87,
+    0xaae2babb, 0xc347217d, 0x5afa7398, 0x534eeeae, 0xad19bc0e, 0x46cc5128, 0x6e4e08e0, 0x1c4f751e,
+    0xdcbe1a3d, 0xbb817f57, 0x2a10f116, 0x81092111, 0x4d5f5436, 0x6d825273, 0x597ce8fc, 0xe66bbc17,
+    0x79641c8e, 0x1f49194a, 0xeb62a434, 0xee7c64d4, 0x0ce3431d, 0xbe22950c, 0xa908a7cf, 0x05458b94,
+    0x6bca3bb2, 0x6c3d1611, 0xa1fd97ec, 0x06f6615e, 0xf25769c7, 0xf06321dd, 0xc772a50f, 0xceb621ca,
+    0x66b7b58a, 0xc8376d9a, 0xcab74f1d, 0x20ea5fdf, 0xbb4d58e2, 0xf23e6397, 0x6b29ec62, 0xf3946f13,
+    0x01cb8043, 0x2ab86263, 0x573abe6f, 0x78ac74d9, 0xd201daa4, 0x1ba99433, 0xa8ce98d4, 0x8219b060,
+    0x4aa344c7, 0xa0e02b7d, 0xd48ae6bf, 0xac4068a4, 0x6b155934, 0x2cbc8f53, 0xc1a043b8, 0x63aeb846,
+    0x2b2b72e2, 0x7c70552f, 0xa145457b, 0xf26bc6b6, 0x0fe49299, 0x13f7dbc2, 0xd7266c5e, 0xc6d63a9d,
+    0x719e9f44, 0x2b16dc5b, 0x49dfc9b5, 0xa055e076, 0x76f4d55c, 0x50f0083c, 0xc6c03ae5, 0x7bf53a84,
+    0x4a56cd74, 0xac71b9b6, 0x2794859c, 0x534546b9, 0x564dd302, 0xb923be45, 0xc1fcf946, 0xd9b9b405,
+    0xf5812e4d, 0x746c6c1c, 0xb4017e0f, 0xb407af2c, 0x2c8b3c51, 0x8db1016d, 0x015fff5d, 0xbcc9787d,
+    0x639749ba, 0x5577bd94, 0xa854a8d8, 0xace10599, 0x3d8ea4a3, 0xece96abd, 0x7c9cea0d, 0xa2bd6732,
+    0xba38008a, 0x1052b24e, 0x4ad4364a, 0xbc2e8c4e, 0xe6adcf0e, 0xb9700c39, 0xb7f32c27, 0xeef97aa0,
+    0x8527060b, 0xef5ef4f2, 0x117bd4e3, 0x23a01a34, 0xc8173628, 0xea9b4d7a, 0x30ee91f6, 0x147ac75f,
+    0x7900eafd, 0xe03ece9e, 0xdad9efef, 0x9131386a, 0xa82989d6, 0xcdaf2775, 0xc2d702b0, 0x3a8c641a,
+    0x3f837446, 0xa2d62aa7, 0xe4ef7f6c, 0x95ea1aa9, 0x27d80670, 0xb672b266, 0x790f264a, 0x4e6ce59e,
+    0xfd2a9411, 0x796a943c, 0xc1e50b64, 0xf98cd529, 0x4a02191e, 0x0aa22433, 0xd8fbfd49, 0x829aedcf,
+    0x7adb0e2f, 0xb3883e16, 0xc2e7ad1e, 0x8bab6625, 0x4279a53a, 0x0bdb7938, 0x921eee25, 0x02a48c93,
+    0x2b5b1e6b, 0x119f7e2f, 0xa22738d0, 0x07a562c0, 0x700ae190, 0x378d2ad9, 0xc9d125ce, 0x112ed318,
+    0xb3865c9f, 0xd65866c1, 0x7fe2d89e, 0x1fbc42ac, 0x7fd8f8d3, 0x755c1814, 0xc4549419, 0xee1d8b3d,
+    0x3ebbfde4, 0x2ca77292, 0x9da8a6db, 0x54c83b5f, 0x5b5dd06f, 0xc603e1bb, 0x07e4959c, 0xa0e03ffe,
+    0x34017a9a, 0x24eef361, 0xd0c0b203, 0x2485ce84, 0xe39aa9f3, 0xdea7a2e9, 0xe5e55900, 0xfff45d2f,
+    0x6ab57eb3, 0x69b3e209, 0x0b66f482, 0x86a4bfed, 0x6e2f024e, 0x595c3003, 0x053d0ff0, 0xe219aec6,
+    0x4ff10e63, 0xc6b33819, 0xab472890, 0x4dec53a1, 0xe5f21815, 0x342ae482, 0xb827210c, 0xabdc71f0,
+    0x35ff996b, 0x17496c07, 0x0d472636, 0x7e0e67c7, 0xa6a2ddf4, 0x521687e2, 0xc8272ee5, 0x5dabe63f,
+    0x5fc8e508, 0xb8d52720, 0xbfb23daa, 0xa43e7905, 0x615e9fce, 0xc2426c3f, 0xeca624db, 0x5b5b5319,
+    0x0c771da0, 0x190229ca, 0xb77bd3e9, 0x02fec504, 0x4b54f4b8, 0xae719acf, 0x8d594e70, 0x669d50bf,
+    0xf50a43d8, 0x4709b708, 0xb2b47e46, 0x675abf7d, 0x7b2184fd, 0x43f7e3bd, 0xd43548e3, 0xa93c6fa4,
+    0x54907ded, 0xd7cd5f2e, 0x42af9016, 0x4af10448, 0x3b8d0991, 0xa2d1cf9a, 0xa056e6f2, 0xd43367df,
+    0x20fca953, 0x2d9a69cf, 0xc0c61402, 0x6cfdac6c, 0xd3e170d3, 0x45830035, 0x99c0f214, 0x75048179,
+    0x0fcbe9ca, 0x34215fd7, 0x30082f80, 0xa4dd0701, 0xd6a7a69e, 0x59ebbdc8, 0xb0363186, 0x586dc2c7,
+    0x755cfc95, 0xd8633490, 0x68638f10, 0xbf474e5f, 0x14c63cea, 0x4c767a8d, 0x7820d488, 0xf5eee60e,
+    0xdf411c54, 0x5ba4be92, 0x615397ea, 0x2593d113, 0x35a9d35a, 0x53beccdb, 0x4636315a, 0x5c0a3927,
+    0x7520e00c, 0x6b97447a, 0x16c46281, 0x363ab145, 0xd1dded2b, 0xcdc9eb34, 0x615a27d4, 0xa58bd2ca,
+    0x9832d1f4, 0xfc928cd4, 0xfa68c75b, 0xd298f05f, 0x8d8bdc0e, 0x45723d3e, 0xa22fd545, 0x06236a0a,
+    0x4aae73c5, 0xf8d7f65a, 0xbc537f78, 0x54eb83a5, 0x22b7c459, 0xf0c402b9, 0xb7e088bd, 0x3b85f5ff,
+    0x0f5df5c3, 0xf5aa3169, 0x9aab59f1, 0x93e7a7af, 0xc718bdf8, 0x9bb71f50, 0x4cf4bb0d, 0x0b5fcee6,
+    0xd7673e3f, 0xf0f6b155, 0x2686f6d5, 0x935d234e, 0x3d0f87b3, 0xd986cd28, 0x7f1a5483, 0xe207b00d,
+    0xf1850e44, 0x4f233876, 0x260d5f6d, 0xf49ef7bb, 0x5c4c7573, 0x9ea65417, 0x6039b39c, 0x143c6d62,
+    0x4ac24e15, 0x6c644e78, 0xdca1eab8, 0x582b7f95, 0x821cbfce, 0x9935f2ae, 0x2ee91a1f, 0x532b9763,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000001298074214633706907132624082305024 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2495, 0xfb7fa6d6,
+    0x00000000,
+    0xf397745d, 0xbe258df0, 0x49f378ff, 0x35b3acfa, 0xc02ca157, 0xda079ff8, 0x854cdce6, 0x16ad9cf8,
+    0x2d31be6c, 0xaf813fe0, 0x0fb1c894, 0x9576d204, 0xe9200365, 0x8a05920f, 0x08012b58, 0x6c1475c6,
+    0xc76fb1f6, 0x7db80345, 0x5a80f4f3, 0xdf3e9b84, 0x52ac0919, 0x8af55eac, 0x3bec493f, 0xbd1a137f,
+    0xa4038d0b, 0xee10466f, 0xa536d682, 0xe12191f1, 0xa195c24b, 0xe119b760, 0x7b0da7bb, 0x847b5045,
+    0x98ab18d2, 0x9f69642e, 0x86a65b60, 0x08cc3eaf, 0xbe46e1cf, 0x73b1894c, 0xc65cdb6c, 0x5b5481c2,
+    0x5ebc7852, 0xdd705173, 0x93f64766, 0x935c13ef, 0x91a661b3, 0x1cd8a352, 0x768c46b8, 0x1a70e4f6,
+    0x93c864c0, 0x881797f2, 0x33b1ac4f, 0xb403ae0e, 0xeaa1816e, 0x8cfc9173, 0x6b1ec5e1, 0xd98290ba,
+    0x417e4cd9, 0x510d5c84, 0x3d3c6cea, 0xdd9e0929, 0xa843e14e, 0x5d33cca2, 0xbe5cddad, 0x85db7089,
+    0x8be49373, 0x2d73ad81, 0xd3310ff8, 0x40f5fcc5, 0x3a6cbb6c, 0x42098ea2, 0xac03668e, 0x64fb669a,
+    0xbcc27a91, 0xb963f515, 0xc5440c84, 0x6e0edb21, 0xd9b22f9b, 0x872a7434, 0xb854508c, 0xd51369aa,
+    0x6a95cfdd, 0xdf6b1f37, 0x4153b956, 0x6ff17186, 0xfaf90aa7, 0xbaedffce, 0x40bbaa8b, 0x8381e65f,
+    0x4f3ca7d7, 0xccfd7454, 0x6b6b9a73, 0xbabd15cc, 0x4f561741, 0x4e1e1498, 0x6611cfdd, 0x780dea7c,
+    0xb1cd0653, 0x43f7ae02, 0xb6cffde5, 0x2b99da89, 0x72a688b0, 0x3cf0e685, 0x3915e4a0, 0x16f9b521,
+    0xb4a1e462, 0xe52e41f6, 0xf97c696f, 0x8d08207e, 0x7e4b839a, 0x51a409b9, 0x4a5e2046, 0x6e6d6a3c,
+    0xc6fe4ba9, 0x9f5558b2, 0x9c77097e, 0x7cc52084, 0x8dd54459, 0x7a4871ad, 0xeee58d89, 0x15fb6007,
+    0x6c324460, 0x9853f929, 0x5855a2fd, 0x5d6e5d59, 0x7727676b, 0x5f506644, 0x13953c84, 0xa237142d,
+    0x64eb76da, 0xb8e3591c, 0x019fc3ce, 0xd7b8b8a3, 0x25e2e782, 0xac8f35e2, 0x9761faef, 0x25f74c78,
+    0x0daaca90, 0xb4486b51, 0xa5bd1b2e, 0xb18a778a, 0x4666e532, 0x649e9977, 0xfe9babe1, 0x179261e9,
+    0xd4ca1132, 0xb6fc783e, 0xf8ad5974, 0xbafbdf99, 0x77744b41, 0x3d951343, 0xee8595d3, 0x942db942,
+    0xeda876fc, 0xa04d7cfd, 0x76b295c6, 0xbcabb37e, 0x1b4c09c9, 0xcc6e520f, 0x0ce795db, 0x90e248ea,
+    0x87705fae, 0xa424125e, 0xb8dbd3c6, 0xb0adce63, 0x99c23603, 0x53cc72f3, 0x80a23f83, 0xd33e713d,
+    0x9c5a2da7, 0xdb669943, 0x2aed1935, 0x887d9bbb, 0xf8727d51, 0x19eb6e1f, 0x64231b24, 0x47a5c937,
+    0x1031356a, 0x4abe4e9f, 0xda6f8c27, 0xcba29c4d, 0x4669a2c2, 0xbe97b412, 0xde467e03, 0x7fc3b69b,
+    0x505c0dec, 0x82058afa, 0xfc53e5b8, 0xd71310d8, 0x1de7bc91, 0xef329c95, 0x83b6a175, 0x0e8c1e64,
+    0xcfd8a39c, 0xd46ae601, 0x57394489, 0xc530a13a, 0x610800e9, 0xe8237512, 0x1b4b796f, 0x225ed845,
+    0x718e853e, 0xb3943b0c, 0xe7d654b3, 0xeeec25ea, 0x99daba12, 0x65fea788, 0xe38723ff, 0x423e96c9,
+    0xcba1538b, 0xbaaecb14, 0x66e5a7bb, 0x7e6b8de5, 0x509af3d5, 0x02d89648, 0x27061010, 0x17a67732,
+    0x48d7e1f3, 0x8bf4c93b, 0xe84be77c, 0x7bf968b3, 0xc2954191, 0x87decdfc, 0x4ebf507d, 0xe2dfa416,
+    0x447f8444, 0xcdb840a7, 0x342735c3, 0x74843652, 0xb8ffe2d5, 0xa218ea71, 0xbdf79414, 0x86a3ded7,
+    0x84e46e46, 0xe45c82d8, 0x0a826d13, 0xd4fdb2d7, 0xff5db4c0, 0x6898f122, 0x85e44ba9, 0x6670443c,
+    0xcf7e5677, 0xc3b31a25, 0xdf9a92d3, 0x41f8269f, 0x0f58a7b0, 0x09062aa2, 0x5e99962f, 0xb032f676,
+    0x6f544027, 0xd2536408, 0x7872f49c, 0xde259307, 0xbefed841, 0xbe925f1e, 0x714fb369, 0x6d7efaf6,
+    0x45fe49d7, 0xe85c07c1, 0xbbf00720, 0x71428060, 0x6eb504fc, 0xb129ed17, 0xc90061dd, 0x9869ee49,
+    0x6744062d, 0x79edbc81, 0xda429439, 0x7b191721, 0x3a080ebb, 0xbcba850c, 0xc1d32007, 0x9e6022c1,
+    0xb17af8f3, 0x2d8688d0, 0x3088cec7, 0x1b8cca5b, 0xd71221f4, 0x2cee8599, 0xcbee51fc, 0xee4eb7d2,
+    0x17154137, 0x2c8d771c, 0x585c132c, 0xbb9ba83c, 0x3f9009ca, 0x4778cef1, 0x8014e173, 0x993d2957,
+    0x6abd46e2, 0xa8e11f71, 0x3ab1718f, 0x8c7f7662, 0x47ccbf50, 0xf3a98511, 0xb45f131e, 0x7c2ec51c,
+    0xde64b5d9, 0xf19814fa, 0x15860d6c, 0x2ef6f7e2, 0xa30662e8, 0x0613f333, 0xd2bdbc6a, 0x263e4eb4,
+    0xac7e85d7, 0x97ceaf60, 0x61a47493, 0x64314aeb, 0x9dd30131, 0x7e14e07d, 0x8856a53a, 0x172ea248,
+    0x866b7f97, 0xd5d026f5, 0x85a43839, 0x7914c914, 0xe90a96c2, 0x7ba0585b, 0xf7fd67da, 0x116a94a8,
+    0x818b534b, 0xd626613c, 0x76178c0a, 0x30593959, 0x46f29ec4, 0x49409202, 0xb4e419ba, 0xd8a15529,
+    0xc3bd6b2b, 0x7aa15c70, 0xc34f880c, 0x06a097fa, 0xa684fb03, 0x32130b4e, 0x9ea09047, 0x5c043662,
+    0x53b7c985, 0x027e2693, 0x9a8123fe, 0x8f4b00e3, 0xfb391043, 0x4d9e9a15, 0x977b1035, 0x828951d8,
+    0x656bd68a, 0xc7417236, 0xc7098152, 0x779c44ce, 0x99c63707, 0xa26a3e14, 0xadbbb7ae, 0x5550c383,
+    0x4d1656c0, 0x33abd99f, 0x68b9ae5a, 0x233c116f, 0xa22dac4c, 0x03e5b674, 0xaff880a5, 0x98f8f447,
+    0x8e9c7512, 0x0ebc1f75, 0x9e83377d, 0xdd98144a, 0xb66d9b86, 0x59e1d72d, 0xbade4e7c, 0x95ffd4a7,
+    0xa0191287, 0xd216e6d3, 0xe5a392b3, 0x5d7321b5, 0x96158700, 0xa2e5176b, 0x7d771296, 0xa17f222f,
+    0xa71e40a2, 0x5517aa2b, 0x69b6c635, 0x657c3b4f, 0x573c325f, 0x0c640194, 0x034b1314, 0x23ebed3c,
+    0xadc92dc9, 0xce8a5fa2, 0x3f9f96d1, 0xd78dab53, 0xea1c6659, 0x1deb6258, 0x0b0218ce, 0x79d77ccb,
+    0xa7ddfe97, 0xad4dba13, 0x166cadc7, 0x760602da, 0xb6c9faf4, 0xa9ce156b, 0x63e8a231, 0xcb863044,
+    0x77fa98c8, 0xe9256324, 0xfc4a4340, 0xa0f6d56b, 0x2fc66a52, 0x6f998cf1, 0x8da55d6e, 0x9829de69,
+    0x2c811dbe, 0x0976b7d4, 0xf7611278, 0xce021156, 0xbc2fe11b, 0x304aed6d, 0x00290c78, 0xb0a87899,
+    0x5a6ec34d, 0x482e9c65, 0x28da9231, 0x3e7b5918, 0x9a64bb6b, 0xcc9170df, 0x3e7f6948, 0x383be5d0,
+    0x5d85ada6, 0xf2f3e24b, 0x9fedbe12, 0xd546319b, 0x0cafc540, 0x103d380a, 0xd023b34d, 0xbb508b4d,
+    0xbd6d4001, 0x091762f1, 0x06480f9b, 0x38ee2dcf, 0x5e3c9cea, 0xf00c5b0e, 0x82a4eac9, 0x12d141cb,
+    0x110326b9, 0x91c1fa00, 0xe073d6b1, 0xf67bead8, 0xebb40b1e, 0xba8722b9, 0xcc20e6af, 0x2816adb9,
+    0xf185c182, 0x09a56c34, 0x00011ad6, 0x183c8297, 0xd2a6ec95, 0x60038fec, 0xfb9c1fe4, 0x05d8be0f,
+    0x604e210e, 0xd715ed36, 0x39b5070a, 0xa5fbfd34, 0x6f7c25de, 0x3f03ad99, 0x7b78c516, 0x76806537,
+    0x29f95ce7, 0xee52251c, 0xcf67ad42, 0xcb0e715c, 0x1f9735a0, 0xd4847d78, 0xb5072c4a, 0xef94519d,
+    0xdbaf38ec, 0xce61c66e, 0x3d255701, 0x6b1021ae, 0x6b9484da, 0xbe48e560, 0x4452ebf6, 0x97af085e,
+    0xe1068a7f, 0x223afe6c, 0x83d98d09, 0xbee32eab, 0x24985cb3, 0x74646317, 0xdec2fa3f, 0x87da38e6,
+    0xee7e445b, 0xa755c031, 0x25532509, 0xeeffc11d, 0x2ac17051, 0x6538b481, 0xa3fe7521, 0xfad8d477,
+    0x5471d0ee, 0xb688f420, 0x46a554fa, 0x0c41fcab, 0x137a1369, 0x2755e15f, 0xee85df63, 0x9902542f,
+    0xea3ce79d, 0xf9f4e682, 0x150ce865, 0x5aeaacda, 0xb9deb9c6, 0x15df9197, 0xac669e75, 0x96aac0a3,
+    0xd74dd89b, 0xfd840687, 0xe1d9e2d4, 0x3e2e6958, 0x9a03aac9, 0x815275cf, 0x6dab0ec7, 0x7625dca3,
+    0xd3f7b2c1, 0x2c9254fa, 0xde4f766f, 0x8eb5ca57, 0x6aa90412, 0xaf0b55b7, 0xe506cffa, 0x3f872a76,
+    0x6fc57585, 0x2f078189, 0xe45de57c, 0x856fb179, 0x5ff8bcaa, 0xb86910c3, 0x3059f3d9, 0x4cfec701,
+    0xaafc0db0, 0x9a242c53, 0x6b54afa6, 0x4aa83ac8, 0xa9cd59fd, 0xbb32c61c, 0x7c727bc9, 0xec9dbb3a,
+    0x8e514fd0, 0x970bf7fb, 0x5edabb50, 0xfe9ea0cc, 0x0a1db8a2, 0x8f637715, 0xcfc78471, 0x395bd550,
+    0x3134528b, 0xc91a5757, 0xec8a6802, 0x370c0835, 0x31bac21e, 0x765c201c, 0x0419752f, 0x55423cb4,
+    0x92f9d680, 0x3213469d, 0xfb2a6687, 0x06f69227, 0xc15cd1ea, 0x663971d8, 0xa62d5e14, 0x9ace9d7c,
+    0x994901a2, 0xe4dc17a5, 0x2515c702, 0x3f63196b, 0x37a25123, 0xda95fe77, 0xf0cb8a43, 0x460f6c44,
+    0x322b2cbc, 0x80fb5db2, 0xc45abd30, 0xb537e23c, 0x38283174, 0x1fe2b2d0, 0x37c94e0c, 0x75ad1333,
+    0x5908d085, 0xb2b26f51, 0x30358c73, 0x161a94aa, 0xb6607d7b, 0x685cff78, 0x6569c236, 0xfd267f12,
+    0x8c414e21, 0x280855cf, 0x6c077cbc, 0x019b0c25, 0x1104275a, 0xd21b3343, 0x8077ec18, 0x6b044e3b,
+    0x1131e924, 0xb2988ced, 0x249dcf33, 0xcf67825f, 0x14abbee9, 0xd60ca4a9, 0xeb30aafa, 0xbef82f9b,
+    0x8c915ca8, 0xfc485f63, 0xcce86261, 0xfc0bfcb5, 0x48bb2ac9, 0x1dfbdf00, 0xa772ee36, 0x2f866820,
+    0x636918a0, 0xdd0f2333, 0xc5db11d4, 0x764a5747, 0x92794e97, 0x9789b27b, 0x15e27906, 0x49b990d1,
+    0x2f52788c, 0x48ab8f73, 0xcd5bf863, 0x7de070fa, 0xe825b3a5, 0xb9658753, 0x3662db7e, 0x56caa6dc,
+    0x487b3381, 0x06178cf9, 0x0eda2591, 0x631af52d, 0xc78983cd, 0x8f9c036b, 0x14cd58b2, 0x914c44f0,
+    0x283ac7ef, 0xea606f20, 0x0da1fd4d, 0x43e0a699, 0x5d81afcb, 0x87b3b670, 0x42643044, 0xfb16bbc1,
+    0xb6b833df, 0x5cde7976, 0x44d3711a, 0x64ce12d3, 0xd567bf9c, 0x9df81a38, 0x51a772a4, 0x600497c1,
+    0x0ba4dfac, 0x3c863df8, 0xb066611e, 0xd6c706db, 0xcdd4e427, 0x4bb68f24, 0xc5b029ab, 0xd118fe3b,
+    0x7e99d9ce, 0x290b72f0, 0xebb585a0, 0x637bcf34, 0x7ce74889, 0x7be02704, 0x7eb9c200, 0x2d2e4a11,
+    0x93d88370, 0x7798effa, 0xa5afe8ff, 0x686c2c41, 0x03bbcd02, 0xe287c387, 0xecb8aa3a, 0x51b35022,
+    0xc1f2dd12, 0x0a68e470, 0xb71c9327, 0x886358db, 0xc9649acd, 0x3ef3faa4, 0x880f928b, 0x752d1f1a,
+    0x13ea52aa, 0x850052bb, 0xce9e4e5c, 0x627a3ffb, 0x8f148536, 0x62283abe, 0xe91ffc94, 0x922731f9,
+    0xb40e08e9, 0xc5e4d377, 0xb4e2d815, 0xe47c7227, 0xab439ac4, 0x66d583dc, 0x3ffa4ed0, 0xb1246ec3,
+    0x01e537d5, 0xb0873eaf, 0xa6f02011, 0x0b459d4f, 0xc5c156fd, 0x0809ab49, 0xb49fb097, 0x7748bdb1,
+    0x685ad117, 0xf347e5c9, 0x6750c2a3, 0xb9bf1e6f, 0x57b765a4, 0x6e4d41c1, 0xc5d381bd, 0x3a45faa4,
+    0x989581a4, 0x92436018, 0xc82b0725, 0x5caae21c, 0xeed1ccbc, 0x0f9699bd, 0x0339e812, 0xc1057db8,
+    0xfdf7fd19, 0x9a228dd8, 0x3c64eb70, 0xbd327354, 0xe8704727, 0xdaa039da, 0x35e4394f, 0x40052c07,
+    0x7c56fb24, 0xee22b6a8, 0xe999d5ce, 0x0bf3b797, 0x57b2a116, 0xe3d61880, 0x0b77dbf7, 0x7352cf55,
+    0xa5218c36, 0xd5181374, 0x3e73943b, 0x21855d20, 0xa8cac65f, 0xdd452305, 0x7ef1c2f1, 0xf0c9a8d0,
+    0xa86f2cbb, 0x9cdda66c, 0x723730fc, 0x9bfaf384, 0xfe0fbda5, 0x2362f46b, 0x995211ad, 0x97eba7f8,
+    0x98e749bf, 0xe554f61e, 0xcd92ed4d, 0xd9b76d47, 0x94a3e7b7, 0x20a0c2d1, 0x03bafa52, 0x7e39fb81,
+    0xd3368f4f, 0xb4923ed4, 0xfd11ff24, 0x2acfa1f2, 0xb2cc38cc, 0x23bc9a58, 0xc8249189, 0xbfdb03bd,
+    0x07e9444e, 0xa880084b, 0xc724be3d, 0xddf1a89b, 0x8f0b151a, 0xf45ac8d5, 0xd6d5a00d, 0x6a3662c9,
+    0xade16a16, 0xeb878f95, 0x39dfa58e, 0x604e9bc0, 0x3036d87d, 0x0e6ad414, 0x71011346, 0xeec36783,
+    0x61fa64d0, 0x16074c39, 0xa4271a3c, 0xbc411ca2, 0x71059d03, 0xaec8c1a1, 0x341dbd3c, 0x2775f6c4,
+    0x27c689f9, 0xae0ffb31, 0x1b5b8fc1, 0x5cca2adc, 0x0595d6ba, 0xdd9693fa, 0xa028e433, 0xb20e8d45,
+    0x9d3a3f4d, 0x598c1399, 0xb14e9626, 0x2cef9b0f, 0x176982a5, 0xbd808a29, 0x38eb14df, 0x390703d7,
+    0xd45be178, 0xc5d622e3, 0x8d2e613b, 0x5a60ef88, 0x19b05406, 0x061111d9, 0x64812a2f, 0xe4eba476,
+    0x733fa9c6, 0xf3cc078c, 0x890d0f90, 0x8d271725, 0xa7f36806, 0xe0dd2063, 0x458195e2, 0x706080d8,
+    0xb58efbc2, 0x715319af, 0x2155b4ab, 0x5ffca740, 0x3210161a, 0x0aeb771f, 0x89a7eeef, 0x236d9f47,
+    0x563d32a2, 0xea4dc287, 0xf11eaf70, 0x3a299f31, 0xbb30abba, 0xfca6ca21, 0xb608f3ae, 0x1f7bd046,
+    0x14288941, 0xe51e37f9, 0x68a48581, 0x9c31b561, 0x6875baa1, 0x85e0bc76, 0xc74c9511, 0x374cda87,
+    0x892d853b, 0x93e1cc43, 0x412c67f5, 0xfb362d5f, 0x8bb3d3d1, 0x7aa666c1, 0x40f3ccd6, 0xd7912c63,
+    0x798b5556, 0x4a106d9e, 0xf18449bf, 0x5554fdae, 0x85df1f31, 0x13e67aa3, 0xd5356b8a, 0x9dc2fbf9,
+    0x630621d7, 0xc2c56b73, 0x7fb628f4, 0x924c5066, 0x3d5d7172, 0x83d28dbb, 0x7c576929, 0xce2205df,
+    0xb202fd62, 0xcc41a7b4, 0x6f50f132, 0xc21919e0, 0xd61ba3f3, 0xdb6afbc0, 0xa104fbe5, 0x612bd39f,
+    0x36780581, 0xf03e245d, 0xa659999a, 0x9ed6e40e, 0x4b0971cf, 0x419de6bc, 0xf6d881af, 0x772d397c,
+    0x8eda1003, 0x851e4294, 0xd752c6f3, 0xa30a2bb7, 0xe5ba156e, 0x70c6162b, 0xd0c0728e, 0x22b641e2,
+    0x541113e5, 0xf4c51747, 0x5ed3aa3e, 0x882d8fc3, 0x1d857141, 0x735d903d, 0x51261c62, 0xc74b68d6,
+    0x31aaa8ed, 0x18b5bec8, 0xeb949208, 0x4695cd04, 0xe81a7ae4, 0xf657f9f3, 0x6ef14508, 0xa88b0e56,
+    0x58a5789a, 0x9338bf3d, 0xaa4cffaf, 0xbc55153e, 0xd7e78b58, 0x0422bbdd, 0xc334d664, 0xb3177c82,
+    0x561b4169, 0xf06c6413, 0xdff64cf1, 0xaecc119e, 0x6267f593, 0x4eeef26a, 0x37f04963, 0xc2228343,
+    0xb6bc8227, 0xc744dbba, 0xdc5a2ab2, 0x63114fae, 0xcb26529d, 0x9d1e2194, 0xc9ad5771, 0x4894c6bd,
+    0xa6c1dfba, 0xdc23beae, 0x2f2f8b8c, 0x99df4393, 0x8b83fe0d, 0x4be1ab5e, 0x17dec2ca, 0x235687e6,
+    0xfc5cf97e, 0x322b87c8, 0x0cf61738, 0xc9fd2fa7, 0x3db6eec6, 0xd4eea539, 0xa3abc7ea, 0xf235af13,
+    0x725e5345, 0x20d9b191, 0xf6d9890d, 0xc992dd76, 0x0b6acdd8, 0x0c7109f6, 0xfd8aebd6, 0xd4c86f50,
+    0x4ac9ca55, 0x8cc265a2, 0x3dd4dfdb, 0xb2084166, 0x75447381, 0x3f365608, 0x9a4e067f, 0x2649e7ca,
+    0x9630a219, 0x791d7ce0, 0x206640e2, 0x662e868b, 0x91fdc73a, 0x6f2f1912, 0x450b968b, 0xdd1ecdf6,
+    0xc269e789, 0x2d18128a, 0x45ba174c, 0xbce0b8fb, 0x39d87153, 0x652e9b0e, 0xe34840b7, 0xc14c2940,
+    0xf53c45c7, 0x8b80a026, 0x254ab7d3, 0xf3305b53, 0xd285953d, 0x1ef240ad, 0xfdd85e54, 0xee661c50,
+    0xbabc58f8, 0x8f9d80df, 0x1bb6e646, 0x6105a704, 0x411c6ede, 0x79a6d776, 0x49dcf63d, 0x52051762,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000649037107316853453566312041152512 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf924a, 0xfdbfd36a,
+    0x00000000,
+    0xf9b8000f, 0x3ed5733f, 0xd7c53fd4, 0xf3938d5b, 0xc382dcd9, 0x1c28c2bc, 0x3c10643b, 0xf0740b1b,
+    0x23eb3e2a, 0x7ff98e14, 0xec1a07b4, 0x69941e6b, 0x1fb1175d, 0xfc996d85, 0x1a5ec819, 0x2a7b03f3,
+    0x9207fdf5, 0x5585f0cc, 0x716041d1, 0x3633895c, 0x03d3c94e, 0x8fc17736, 0x52e04124, 0x11c46d17,
+    0xdbf9876f, 0x9e888eeb, 0xb87b00d3, 0x7c06672d, 0x5f7589dd, 0x96bafa0b, 0xa7faac50, 0x1091ed17,
+    0x9976affa, 0xecb5a8e4, 0x9e4901fc, 0xd1911393, 0x52b4a594, 0x776cac5b, 0xd2493ba7, 0x72b8d4b9,
+    0x3a8375c9, 0x9b024287, 0xf7ec8121, 0x5c793174, 0x98a81166, 0xa67fcb7b, 0xf5a8cf81, 0xd5a90d80,
+    0x242f906a, 0xceae2300, 0x925b992c, 0xb61e3f45, 0xf01b1714, 0x9b3c91f5, 0xc48f236b, 0x01652234,
+    0xb9b1d570, 0x90b81b0f, 0x3836d3a0, 0xd8c2ec13, 0x99818964, 0xd48d6b6b, 0x89cdd249, 0x061f6f5f,
+    0x3b13888f, 0xcca3b53c, 0xcfd67836, 0x9e4a0175, 0x9895b05c, 0x116d2e23, 0x2da99afb, 0xfd6e7ab7,
+    0xbf69f55b, 0x1330c338, 0xb29ec488, 0x528bd1b5, 0xe6f2c3bf, 0xeecfd0ea, 0x7220ef79, 0x77daf6c3,
+    0xe332898f, 0x28d30e32, 0x1bb45a2a, 0x0301fcd2, 0x878c1908, 0xaf1f6d44, 0xc7f35591, 0x4ab6565c,
+    0xa4c0531d, 0x33c2e76c, 0x6d4b55b4, 0x9ebd46c4, 0xb6e2294c, 0xaeb34ce6, 0x1937a1e6, 0xe8d27ff0,
+    0x6864897d, 0xab0bad72, 0x541dd7ba, 0xcfcc341c, 0xcf5322f6, 0xeeb64707, 0x28ef60f4, 0x18b0fabd,
+    0xc203b1b0, 0x70397206, 0xf87377b8, 0x04f9c15f, 0x411ff475, 0xb1cd2135, 0x9a7fb139, 0xf5308736,
+    0x18883ae2, 0xf75e00d4, 0xdd8ecd6d, 0xcd0fc299, 0x82ddabef, 0xc7296827, 0xf84eb241, 0x7d08eaa3,
+    0x33c51df5, 0x4fc2a017, 0x11a1ba1e, 0x77b280a7, 0x08530edb, 0x2956fac6, 0x5ebfa658, 0x35b8a1a4,
+    0x257908d3, 0xddd42e91, 0x590bf6ca, 0x50618505, 0x635dc26e, 0xfdb3a7e9, 0x778e31b7, 0x5daf6b75,
+    0x8447b3aa, 0x20aaae21, 0x2de98c73, 0xaa6a7cbc, 0xd442dd5a, 0x388e171f, 0xd9d872b1, 0xc19a4b9d,
+    0x45c73a38, 0xdf9e86ff, 0xd819391e, 0x3bf73a48, 0x62d40ce3, 0x5017aaef, 0x28b1739c, 0xe65c05ce,
+    0x4dc27468, 0x20e84361, 0xff1c401f, 0x371094ba, 0x318bb318, 0x5e263d41, 0xbe679041, 0x0efccc1b,
+    0x02a800ab, 0x22ff639a, 0x406f3f9e, 0xb72ed830, 0x9558b622, 0xccc63244, 0xa363e599, 0x4112dc83,
+    0x1996b866, 0x7b24cbbe, 0xae801c76, 0x950385f0, 0x25850c68, 0x248691d9, 0x1eed9647, 0x18710a66,
+    0x8df9f4af, 0x2cdc34c7, 0x410f3622, 0x00ca6d54, 0x5313245e, 0x5e4ff140, 0xd4d1f09d, 0x56eb7613,
+    0xa7538f71, 0xcdab369b, 0xde4df065, 0x1fe789f0, 0xba638c0d, 0x24c7f403, 0xdda86430, 0x972f7377,
+    0x22183278, 0xb428f002, 0xa607650b, 0xaa01fcdb, 0x6b18a091, 0x6c895613, 0x6891a0cd, 0xc95d0fd5,
+    0x60c2168d, 0x8557ca09, 0x406f5a67, 0xaa603b30, 0x35451332, 0xe97090fd, 0xbf7fd3bf, 0xc96c5bcc,
+    0x54bc8068, 0x7baf406d, 0xea5d79c9, 0x3ef7eeed, 0x6c194278, 0x356dd50d, 0xccdab626, 0x75dcb281,
+    0xc02640db, 0xc23822cc, 0x2227c4fa, 0xd5327aa5, 0x2f4d85b2, 0x6c481a3b, 0x5e175430, 0x3aeffe05,
+    0xff5b8871, 0xe7341191, 0x68a8c3bb, 0x396a7482, 0x6afdfea2, 0x222cbc9e, 0xfde5bc22, 0xcfc691ec,
+    0x89da6983, 0x6f097f9d, 0xa4f8b2f8, 0x613da3ff, 0xa6dd804a, 0xc0b08927, 0xce288558, 0xea23f4c0,
+    0x220e381a, 0xc5f6568a, 0x28ee1ca0, 0x9f07fb61, 0x941a3829, 0x6e5b018d, 0x133a5040, 0xce669210,
+    0x877d4830, 0x159ba084, 0xcaed618f, 0xb1a569b7, 0x65d9e3fe, 0x1f46724e, 0xd4449aad, 0x963228cc,
+    0x1cd323f7, 0xfe41aab0, 0x484c25b2, 0xa5ef4e02, 0xf4e20d55, 0xa663bc55, 0x97e8bada, 0xac766a74,
+    0x51022e3e, 0xd32c1726, 0xf4dcabac, 0x6c74cfc7, 0xc2e3e243, 0x99fc050c, 0x2694a150, 0x860eda84,
+    0xe6e4791f, 0xda449423, 0xc4b7bb95, 0x18da1ace, 0xfb65cf2b, 0xd77adbe3, 0x61602594, 0x508437db,
+    0xb356a06c, 0xc35665cf, 0x86cde32c, 0xe8432f69, 0x0c599fc7, 0x030a6c61, 0x736f0808, 0x31e026d9,
+    0xc8e31ce3, 0xc433cb8b, 0x4e213c3a, 0x3e3d8a41, 0xfabcab48, 0xe32ec317, 0xe92fdac7, 0x8ca161b4,
+    0x73bd790e, 0xa7cd0bd7, 0xa3dfe291, 0xa535e718, 0x28f1655f, 0x11c3d2cd, 0xc83c817d, 0x16827737,
+    0x39ae1cc2, 0x87f9e460, 0x95c1fcac, 0x0bbf8527, 0x7df192aa, 0x87b62ef7, 0x320983bf, 0x75fccf49,
+    0xf6ec67ad, 0x5f2f82b0, 0x5071c7ac, 0x7d5f6a11, 0xb9399a62, 0x4b90b986, 0xdefd3c91, 0x8e1a8280,
+    0x009e4785, 0x12443452, 0x5091efab, 0x6b4d1a76, 0x4c337571, 0x2ab47ab1, 0x7c598533, 0xdf21a64b,
+    0xfd0f4f1d, 0x1cb1e400, 0xf09bf301, 0x1a90a011, 0x15063bdb, 0x67e01a7c, 0x5fd35fa1, 0xa2c6b306,
+    0x34f336ed, 0xa8cb3a0d, 0x5bcc740c, 0x26820794, 0x3a526e77, 0xb7ab732d, 0xe2012241, 0x56547b86,
+    0x082e2468, 0x93f28690, 0x0ce36436, 0xe6b991a7, 0xa1e3c523, 0x3ed32f9b, 0xda92227b, 0x46d43f8a,
+    0x89dce955, 0xe35e9aef, 0x6ba0f22e, 0x29f9bdf9, 0xaa6f4a46, 0x1df3e255, 0xf8761aef, 0xb9cc329d,
+    0x1b500929, 0xb8105738, 0x85cead0c, 0x79551a59, 0x0b427228, 0x899aecd3, 0x6fcb76e8, 0xe99ccc87,
+    0xd5c049de, 0x333ed357, 0x4eed3440, 0x4169a1ac, 0x7cdb5459, 0x6cc2581a, 0x35962da0, 0xee89b0fd,
+    0x5b95cc66, 0x89d172c2, 0xf8faf648, 0x0cda5a9c, 0xb968885b, 0x9980c5e3, 0xed459842, 0xc2dd1e8c,
+    0xdaf02cd5, 0xc81a40a9, 0x43a559d0, 0x4db6f6db, 0xfc48c4ab, 0xae4c259e, 0x4264d311, 0xb3cc1818,
+    0x64ee97ad, 0x9234348b, 0xa8d87f79, 0xea3b1a7f, 0xdb3ee044, 0x47e0c742, 0x92879f20, 0x33594489,
+    0x67d47f5b, 0x79ad78fd, 0x82773f70, 0x85c80d78, 0x3e26ca01, 0xb4380229, 0x89ff1d1b, 0xa6fdd6bc,
+    0x4707f09b, 0x9cca363d, 0x7abcb760, 0xa1f71f57, 0x46845f34, 0xaa9675fa, 0xaff39ba1, 0xb157ecfa,
+    0x5e85dd83, 0x14470997, 0xc98ad3b8, 0x4f8487d5, 0xee262a15, 0xa1a7012a, 0xf24cbe7c, 0xdd90fa9c,
+    0x6809f078, 0x5a41efec, 0xb40ca359, 0x774540b2, 0xe02d80d2, 0x6b477b09, 0xb1c8e717, 0xe1b5fbe7,
+    0x7ee02c19, 0xee27a755, 0x058b2a0c, 0x7b89b4ae, 0x7fca678f, 0xac6463c8, 0xbb2a48c5, 0x3f67e281,
+    0x107dc0eb, 0xa2dfa5f1, 0x1ee98b63, 0x67037d1f, 0x542972ec, 0xa6525e95, 0x2ae848c0, 0x17d6856d,
+    0xaab9a9db, 0xc6411781, 0x378b033f, 0x8453b7b1, 0xee903ec9, 0xfb1e93f1, 0x2aa12efe, 0xbb512169,
+    0xee772eb9, 0x7dabf83b, 0x2e3702fe, 0x4db9d26a, 0x5ee36565, 0xebe305ee, 0x8e51ea85, 0xa73821e7,
+    0x965abd28, 0x484db810, 0x2e9fe95d, 0x1d499d6d, 0xc2d94096, 0xf05933e2, 0x68fac3d2, 0xd64e3482,
+    0x0ab3b49c, 0x5d5b2a85, 0x329a683a, 0x9361f9f9, 0xf74cb22b, 0xa9e43918, 0x63963f2c, 0x8298eb8b,
+    0x757efec2, 0x1866e7a7, 0xf278d0df, 0x9049c6c8, 0x40a50af2, 0x26168a0f, 0x08cc1e98, 0x87fdf9c6,
+    0xd6ecd94e, 0x8328432f, 0xfca234c0, 0x9cafd560, 0xe7727a85, 0xf7acd4c2, 0xf65b378a, 0xcc65ea18,
+    0xbdb0d652, 0x11743b2d, 0xca0d2f5b, 0x04403eb9, 0x5336369a, 0x26032ad8, 0x3c7d3e90, 0xba1a4d38,
+    0x644226a3, 0x3d6dbdd2, 0xe64731e6, 0x9f610046, 0x71734aa1, 0x2692b6b6, 0x972b5b2d, 0x8d1af6af,
+    0x76b61813, 0x39c9ad09, 0x8483d47d, 0xccb99fc4, 0x2cba6e40, 0x4a811a97, 0x984d1feb, 0xe5c74cdd,
+    0xe32450f3, 0x9fd43c34, 0x6ebaa37d, 0x9defd039, 0xa337fcba, 0xd68c0af5, 0x905b46be, 0xd8adab42,
+    0x3f0200cc, 0x21ae6102, 0x5a48424d, 0x711babbc, 0xbb2d7703, 0xf5e19252, 0x8c46fe06, 0x6ccf2641,
+    0x9b330c85, 0x9326b185, 0x73268da3, 0x8405073c, 0xffe2295d, 0xeb8a58c3, 0xdcc7a362, 0xaa27314d,
+    0xc10e8ec9, 0x46c7a015, 0xb8534236, 0x56e9c621, 0xcda26216, 0xa7f48d66, 0x0a3b4ef4, 0x22a5195e,
+    0xfab3bd37, 0x6a900423, 0xd1d52c5d, 0x830c2137, 0xa9064cf3, 0x3e10466b, 0xc01df713, 0xac12220e,
+    0xc1eff4d3, 0xca12bc40, 0x52bceb6b, 0x057dc495, 0xc7d6f6f8, 0x7caec388, 0x71fce048, 0x42f567ed,
+    0x3e644436, 0x126c9639, 0x3992ac3b, 0x6ad1ab3a, 0x3d423e03, 0xd8497e76, 0x1abb2b43, 0x23c1e15d,
+    0x99187d7a, 0xdea74df5, 0x6da63352, 0x83b19e07, 0x255aa3f7, 0x5571aeeb, 0xa046b36e, 0x32f868e6,
+    0x6e2c617d, 0x763649b5, 0xc0d6455c, 0x7a529098, 0x34d7ab2b, 0x38242115, 0x62766686, 0x9d79232f,
+    0x9ef5c746, 0x17ef3cc2, 0xeacab17c, 0x54a472f9, 0x1ea4a98a, 0xda177713, 0x8f20e0a2, 0x7ecb1ebb,
+    0xf550960d, 0x86ddf2ba, 0x8855fe3b, 0xc040c139, 0x379a94fb, 0x4d37d8aa, 0x161a6c7e, 0x53c87664,
+    0x3f9b2e0c, 0x7cb8fa07, 0x473f61c6, 0x657c65d4, 0x47a034ca, 0xfb1b4ff9, 0x4c291c95, 0x7e02a4df,
+    0x172615d9, 0xad15b45d, 0x20d234a4, 0xe256d636, 0xca4ca96e, 0x4dea46c4, 0xd96e00f1, 0x582ed9bc,
+    0x8d1fcc51, 0x55554921, 0xe2562392, 0x05b30b3e, 0x9342783c, 0x36efbe9b, 0x0eb75f73, 0x7434b569,
+    0x32c9798a, 0x896c187a, 0xf4d95dd3, 0x569dca4d, 0xe4c451f3, 0x8569e9a1, 0x0bed5bd8, 0x07ee3781,
+    0x82926105, 0xbf5ab331, 0x52eb9cf0, 0x7c2339d0, 0xc6cec097, 0xf471694f, 0x88c427ad, 0x04c30cd4,
+    0x35f6276b, 0xbeaac1f0, 0xe42ad9d7, 0x490a7ddd, 0x3afc4148, 0x18770312, 0x270fea09, 0xa6cf4eb8,
+    0x6a9d0622, 0x555f51e4, 0x3e55be5e, 0xc42d486a, 0xd0264dec, 0x094cc58a, 0xba7784b9, 0xcd18b51f,
+    0x2de8b047, 0xdb935035, 0x4beaeccd, 0xa0a55a02, 0x6cbaa785, 0xebe669e6, 0x891bd19e, 0x0f6ad52e,
+    0xc50db1ea, 0x73944eb5, 0xaddbf603, 0x077c177d, 0xd692597b, 0x81009c15, 0x30ae6edc, 0xc45da788,
+    0x49ebcea4, 0x40ac5569, 0x238ac52d, 0xbd285c51, 0x3ae28337, 0x29762a38, 0x15a0323f, 0x12ec4d26,
+    0xb9a87d2b, 0xe975379a, 0xf39cc88b, 0x779cd57e, 0xecd51946, 0x61b61948, 0x7f557a52, 0x27a74bb8,
+    0xc97319ac, 0x6b2637cb, 0x10d8f01b, 0xde6fe4b2, 0xe9ef6eab, 0xf6697b02, 0x6480c4b9, 0x146f60bb,
+    0xcb10cc9a, 0x041bb750, 0x4f12fe5a, 0x24eab2c7, 0x4cd7a32f, 0xcf36db43, 0x739bba38, 0x59f38071,
+    0x7a4f4f44, 0xfb20746e, 0x0e74e130, 0x2f560191, 0x68338a74, 0x1fef5f2e, 0x58f1e7ac, 0x38d68cc0,
+    0xd5d2da23, 0x74af3d07, 0xe648a7ec, 0x8374589b, 0x65744fcb, 0xef33b744, 0xeaf387a5, 0xba30719d,
+    0x1b34f68b, 0x5e0fb39b, 0x03fdcc54, 0x2b23bf3d, 0x96f6849d, 0xce7587e5, 0xd56780b5, 0x4e88e808,
+    0xb7ea5388, 0xaed38909, 0x17db870d, 0x908fa38a, 0xe1e423cc, 0x642dc101, 0x5cc8d392, 0xf9508ee4,
+    0xcd3f9039, 0xb33ed529, 0x7d29830c, 0x1512fbab, 0x51cafd27, 0x6118fd51, 0x8ff9d16a, 0x478e8188,
+    0x1f8390ff, 0xd7a636cf, 0x7f8e2f7d, 0xf1d30c9d, 0xa7d0d8f7, 0x1d689d0d, 0x30003fe2, 0xacc814c3,
+    0xda1aaf85, 0x5ced199f, 0x22474c0d, 0xc3fd830c, 0xa0bd4fb2, 0xada95e72, 0x67791860, 0xeb49e910,
+    0x285a0f67, 0x39f1cf21, 0xc0aac22c, 0x657ddcc4, 0xecb76563, 0x3f0119c8, 0x95cd2953, 0x3a8c1e27,
+    0x43efd426, 0xd9baa817, 0x9a70e2ee, 0xa0628c0c, 0xd1feb35e, 0x105b7870, 0xcbf26d40, 0x1497d816,
+    0x2d119a53, 0xa1885093, 0x3ac3c80d, 0x3f53c2f6, 0xc779ea72, 0x18afdba4, 0x24103e0e, 0x6d71d900,
+    0xc76dfe37, 0xf3cd758a, 0xfd88d174, 0x07ceded3, 0xb5137375, 0x09f84760, 0x017fc973, 0xff870991,
+    0x37cd2198, 0xdace4080, 0x4696bbeb, 0x8757c70b, 0x3fdeafbf, 0x6d7d344b, 0xe79b17ab, 0x9ccdad80,
+    0xe46ee338, 0xdd9a0ba4, 0x36237ece, 0x4b0c2227, 0x7d0ed078, 0x374325f1, 0x83507189, 0x98631acb,
+    0x9d554afc, 0xfc14acbb, 0xe739b9f5, 0x14226ac5, 0x355c8914, 0xea30c068, 0xfa3c389e, 0xc4932a2e,
+    0x4a6d7342, 0xa00030b5, 0xcd63dd29, 0x53838ade, 0x59b16816, 0xf4345be2, 0xe35789b5, 0x864963a1,
+    0xc76b75c7, 0x44b87f28, 0x680a584d, 0x222f3d6b, 0x3f2f0b8e, 0xb12e3581, 0x5ec194c5, 0xe9e92f6c,
+    0x66b82781, 0xcd433353, 0xb59d35ee, 0xb70dafdc, 0xdf0e91bd, 0xd1165811, 0xc519934f, 0xaaf2b19b,
+    0x7fbce327, 0x09229095, 0xefcb839f, 0xa2355128, 0xad074c44, 0xc3771d3e, 0x92a001d2, 0x3d2fd08a,
+    0x13380eef, 0x393aebfb, 0x7b94ac71, 0x694b2445, 0x9f61592e, 0xa0e512b6, 0xfb9b958d, 0x4d9f9639,
+    0x74ebf61a, 0xad7c629b, 0xaaa0fd51, 0x8883ef7e, 0x157d016d, 0xb8d69083, 0x71c09f5f, 0x9a83f534,
+    0x5752901c, 0x4266bb0a, 0xc0d4913e, 0x77a53c60, 0x97c5acda, 0x99c1fa6f, 0x46abcad4, 0xe940cf63,
+    0x4cb28497, 0xdcf3dbfe, 0xd6cd5c8b, 0xf25eb729, 0x20b67ce4, 0x5aa663cf, 0x010eb774, 0x0fa9281c,
+    0xb5a1afc5, 0x49d4db62, 0xefbaaaa5, 0x3c35221b, 0x14b0b487, 0x055284a2, 0x56c1ed96, 0x697b1321,
+    0x5d2e5fe2, 0x1845bff0, 0xdddcea02, 0x474bdb98, 0x371530f2, 0xa32e2392, 0xf2f5e5e1, 0xdc4d503c,
+    0xb199ea50, 0x5a975ea7, 0xa9acffc3, 0x6a954fa4, 0xb5186803, 0xfa8ba566, 0xf0cce4fd, 0x24e30e70,
+    0xe79fa579, 0x84954c56, 0x2e1f0016, 0x273b9c05, 0xc2ed5ff6, 0xae3c1e82, 0x8cbf8f48, 0x49a0ab5b,
+    0xab5093a9, 0x99422ee5, 0xd01a6b33, 0x044e6d07, 0x5523f44c, 0xf3e4b7fa, 0x49136330, 0xf9002080,
+    0x64ab7857, 0x3ce26454, 0x54613106, 0xf29def81, 0xb0e9ff95, 0x67e61547, 0xf4b829ae, 0xf5bd15e4,
+    0xb0e7cb9c, 0x31de5bd5, 0xec739642, 0x8ba7bdf8, 0xdd60d4f7, 0xb6af4853, 0x91982534, 0x077fbbe4,
+    0xcf795265, 0x9b2fe7d4, 0x74543064, 0xb8e34940, 0x19b4ff11, 0x71d365f0, 0x7611a1fc, 0x3d6e6a3a,
+    0xe1b5b78a, 0xfe258db2, 0xb075b548, 0xbc22aa0d, 0xddeb2bff, 0xc5193ce7, 0x7184a3d3, 0x7c003d40,
+    0x1945db6f, 0xbd54306f, 0x12147266, 0x2fe5c943, 0x3a2ff060, 0xb040f5a0, 0x08244258, 0x9af57352,
+    0x58b1be90, 0xd458bc4d, 0x2b4dfa5e, 0x3decad81, 0x8089f903, 0x214a2e90, 0x945a3490, 0x24e67993,
+    0xc8c4eba2, 0xd944887b, 0x179d6ec1, 0xf985d788, 0x3784e24b, 0xca730a69, 0xb4deff18, 0xd3164289,
+    0xc9fb57e8, 0xcc344091, 0x52e1bc5f, 0x51a415a1, 0x79896bb8, 0x6fabc519, 0xf91aab0c, 0x1e27b321,
+    0x7dff6d7a, 0xe2fe2eb0, 0x40b0548b, 0xbb0fcf0f, 0x8e5fb7b8, 0xd43c8556, 0xa306f77b, 0x70c9e88d,
+    0xd0d735ed, 0xa9e8a862, 0xbebd5426, 0x08783ca1, 0x71c671f2, 0x9081f0e2, 0x07e1a369, 0x7f93cd28,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000324518553658426726783156020576256 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc925, 0x7edfe9b4,
+    0x00000000,
+    0xfcd701c4, 0xb60c76b9, 0x6d1ffde9, 0xb50d04b5, 0xd95ae733, 0xd571486b, 0x0cc87a95, 0xc7e5574f,
+    0xc0c42552, 0xd48b21a1, 0xea6aa1f9, 0xde4495e3, 0x324eb26b, 0x4190f0fd, 0x5bde14d6, 0xc07cfbd7,
+    0x5044637a, 0x9244e8c5, 0x4e27d590, 0xf4fae567, 0xca23bb45, 0x8e7f224a, 0x3a892b2c, 0xc01869ec,
+    0xbaacb217, 0xd153602a, 0xd0e3c58b, 0x15c1ecf9, 0xc7237334, 0x805f271e, 0x8960605a, 0x3f3461f3,
+    0x3d487377, 0x91b8a71b, 0xe0aa122f, 0x8941861a, 0x98c91ccc, 0x4dccafc8, 0xbf0ab341, 0x88eeaa8c,
+    0x870e87cd, 0xfa11e143, 0xcd6e6b1a, 0x8f26ba84, 0x7ee600f4, 0xfe87ec4a, 0x55056ee8, 0x94cd684a,
+    0xd81bf808, 0x428a6d5d, 0x7d6458d8, 0xda744ec5, 0xb80fd537, 0x3005a3dc, 0x4e80a13e, 0x0446f4a6,
+    0xa719c67b, 0x949e4f34, 0x158f4ec6, 0x81d69629, 0xbd2354b0, 0xdc159a2f, 0xfdccd44a, 0x24741398,
+    0xa32aec84, 0x4b9d6b65, 0x201ff9cf, 0xc797bfa6, 0x5286dc05, 0x2a6cb974, 0xef5723f5, 0x9c499ea6,
+    0x0f6f182c, 0xdc0fb82d, 0xf281b495, 0xe93c7479, 0x427c06d0, 0x209b6f07, 0xe0b59c95, 0xd71239f9,
+    0x73f4e5a9, 0x18955e2c, 0x4a48f3c8, 0xa177abc4, 0xf0c40da4, 0xd838c07c, 0x3ffb5c86, 0x043a97fe,
+    0x6ec4bbe7, 0xdcfb5a73, 0x45291bb1, 0x7d44e634, 0x200bfbaf, 0x88cd7d9c, 0x4421a4d8, 0x330e7ff7,
+    0x6dd42416, 0x62d63111, 0x50030a63, 0x2648211f, 0x86b025e8, 0xa488a796, 0x022ec3c1, 0xdb46fca6,
+    0x47388043, 0xee94b8cf, 0xee735709, 0xd915face, 0x5bebedd5, 0xd8d83af4, 0xbf487abd, 0x652bd0ac,
+    0x37d13255, 0xbcf5a24b, 0xc4b10dbe, 0x3fe46527, 0xe4184d45, 0xe672ec52, 0x97280882, 0x7897a120,
+    0xa5d7b9ca, 0x871dd427, 0x533ac6fa, 0x16cccc16, 0x40cad63c, 0x04771f9f, 0xd7279e82, 0x1a5871eb,
+    0xbbf4da8d, 0xdabb9525, 0x390e4eb9, 0xaf05cdbd, 0xa0cbd798, 0x7a8b4eeb, 0x6b7953fd, 0xc2be9184,
+    0x32427957, 0x3109abb5, 0x81aa931f, 0xde137964, 0x38651b31, 0x4bcaf82d, 0x45abf559, 0x9d9afa67,
+    0x4abd2d9a, 0xd4405fa8, 0x3d69b194, 0x9823342c, 0xd2737477, 0x35f62da9, 0x06dd3ed5, 0xc0293cc4,
+    0xc411dc8d, 0x766d0c18, 0x2aa6d352, 0x9234e4fb, 0xe1f3a9cb, 0x1668b29b, 0xd4e09937, 0x5d977df7,
+    0x626e533b, 0x30f518b3, 0xdb2edcdd, 0x930a8b57, 0x86325066, 0x4cb17fdf, 0xcaaa8b59, 0x36dbac59,
+    0x47388d07, 0x8cd37f3e, 0xdbc55064, 0x44b0f1bb, 0x4838e5d6, 0xd181bf54, 0x433a5860, 0xdd4d4898,
+    0xe28fcb79, 0x2be76822, 0xb559ba5e, 0x04b8d9b3, 0xb9c90e06, 0x01226953, 0xb43554f3, 0x1a9817a3,
+    0x66bdd76b, 0xba49645f, 0x7a3cc62a, 0x8399aa2e, 0x9abdd687, 0x16fb8f9c, 0x1b6ac3ab, 0xffe10176,
+    0x6fb90706, 0x2bab8d70, 0x9eb777ae, 0x4e6f5a19, 0x8538b1dc, 0x6370ae31, 0x524c0b41, 0x30126fc4,
+    0x36bf16d3, 0x04242d98, 0x08c1712c, 0xc52c777f, 0xfea522e4, 0x45eac955, 0x2db8be2d, 0x1bbf11c0,
+    0x6a8cdb64, 0x2d6a2613, 0x275fbaab, 0x6e5f55ef, 0x2e426477, 0xa3b90ba3, 0xd37f169f, 0x46695795,
+    0xa7de9590, 0x2b157bd9, 0xef595750, 0x9af6d537, 0x772c96a9, 0xde661b76, 0x8e71f6b8, 0xf7ddf337,
+    0x71b9f9bc, 0x3578c01c, 0xfc171bdd, 0x4134fc63, 0x00f1471e, 0xe195c165, 0x8699bab9, 0x1685392c,
+    0xc0cb22a9, 0x5a208ca4, 0xf3415516, 0x785c0113, 0xab9dc5d4, 0x773e3958, 0xfd6333dd, 0xf593633e,
+    0xf9d7225a, 0x9e5d1208, 0x3621068a, 0x66cae46a, 0x6317f9b2, 0x72614ee2, 0x1441da87, 0x4cfcfa1c,
+    0xed57de05, 0xab0bb3b8, 0x644fc472, 0x70a49d49, 0xe80fb3cd, 0xd6e29660, 0x0521cea0, 0xeecb79db,
+    0x68c3c761, 0xc455e2a7, 0xd395dd3b, 0x3b46517d, 0xd472273a, 0xc9b3dd13, 0x8cdff70f, 0x8175bae6,
+    0x624c2cf7, 0x54b377ef, 0xb51a0bcc, 0xd997c0df, 0x58bc792f, 0x42532a32, 0x6c69a493, 0xae1dc65b,
+    0xf721cff3, 0xc3056169, 0xaf0cb9b3, 0x6105c56b, 0x504ecae6, 0x964d453a, 0x085764d4, 0x11b0441d,
+    0x86421f3a, 0xe6659ace, 0x3d2fcfdd, 0x50102e2d, 0xda1933e8, 0x20f11e5b, 0x8b712106, 0x3b9396a0,
+    0x7c5ca481, 0x58ed48fd, 0x9be4a69c, 0x5401fbb9, 0xebd8d1c4, 0xe4311d59, 0xedc70258, 0x2d1d1840,
+    0x3b20af12, 0x5e319228, 0x10ba0f21, 0x8d06031e, 0xc2ba92b8, 0xd1ead547, 0x352ccc09, 0xc29d847a,
+    0x4f144e93, 0x78a559f3, 0x276db80a, 0x57768a0e, 0x48dd9c9f, 0x88274148, 0x73775d4f, 0x7ddd0538,
+    0x5c339e62, 0x34b91bce, 0xbb863b8c, 0x074f9ea4, 0x18455bbe, 0x961cea00, 0xc5b4c1a7, 0xa1af515b,
+    0x71661fc5, 0xd00243bc, 0x343a9c6c, 0xc37d6e11, 0x815f3896, 0x37cafb82, 0x579dfbe0, 0xdd8252f1,
+    0xe7dddc2b, 0x5f53a1a5, 0x4bbbecfc, 0xe525c8f7, 0xeac5b8a2, 0xac364bbc, 0x408713dc, 0xabeccb42,
+    0x62c0b2de, 0x7542e5e4, 0x47de7588, 0x62d8a148, 0xa85e0e53, 0x29f2bdcb, 0x509e8b33, 0x749ea9f9,
+    0xf528af89, 0xb616e300, 0x4706f878, 0xc7be0606, 0x91f63a11, 0x904b277a, 0x11d48678, 0xeb47e290,
+    0x334587cf, 0x97fc696a, 0x1b9a44d3, 0x8595ad36, 0x180eebd5, 0xbc166341, 0x3f8c3fed, 0x2b49c2ad,
+    0x2840493e, 0x01c954e1, 0x79aef8ea, 0x82e22e1e, 0xe4f014b5, 0xe8212d16, 0x97de25ae, 0x78701038,
+    0xf6b44d31, 0x2ef01ff6, 0xb3d0fc64, 0x962c169c, 0xbd5060ca, 0xf5b6a11d, 0x6c0a0b3f, 0xe1647df8,
+    0x246ee489, 0x11698e96, 0x84efaf0c, 0xdb681765, 0x3e256409, 0xfd35e854, 0xf921f5fa, 0xada0f339,
+    0xdf0d816f, 0xd1e8e0f3, 0x0bfdef50, 0xde510a7e, 0x80b95d71, 0xb1be53b3, 0x0f0010a2, 0x95f9ce01,
+    0xe07a2642, 0x33d0777a, 0x6e5f070b, 0x7dab1566, 0x917869ad, 0x7cf3c35f, 0x23d126a7, 0x23d384ec,
+    0x65d55bec, 0x6bb4e050, 0xf612c6f8, 0x9dabf8ca, 0xe8d5fb98, 0x1e0e722e, 0x3257bc2b, 0x1892c3bf,
+    0x5a3c1a79, 0x176b66cc, 0x4b22860c, 0x21ec85a1, 0x74948993, 0x5661fe93, 0x47906ae0, 0x032c233a,
+    0x6b8f92df, 0x8ef0531c, 0x9f54e133, 0x82db0d37, 0xfb0e1469, 0xe605bf17, 0xfa46cda2, 0xbbea310b,
+    0xe47f1ebe, 0xc2ae04b3, 0x28515f85, 0x421ed9d3, 0x9a65b0b6, 0xc43f0b9d, 0x73ed8aa5, 0x1ffa2ee3,
+    0x4cac7933, 0xa87137c1, 0x966ea45d, 0x536ae4f2, 0x9180a436, 0x8e390a5e, 0x1f390b90, 0x1a47ab34,
+    0x6647cf74, 0x5cedf008, 0x1ff75066, 0xaca501f9, 0x77aa1478, 0x28eefd7d, 0x68a75d38, 0x224be958,
+    0x0243838b, 0xec7fb151, 0x2f951bca, 0x0d2f8ea1, 0x9ecc3704, 0x336851e6, 0x45b4b7ef, 0x2c45fe71,
+    0x9913cb09, 0xa67b28ae, 0x539dce78, 0x6368176c, 0xa39a1cce, 0x10a08d71, 0x300e57b8, 0xa5775aa6,
+    0x29e73f74, 0xc1c33836, 0x34a3480c, 0x34ba1010, 0xa6012644, 0x2fd7fb0e, 0x70c94db5, 0x54785605,
+    0x3631ddd3, 0xbd713420, 0xad85f559, 0x6a38f338, 0x48e644cc, 0x94d79908, 0xb32b7690, 0x097af89c,
+    0xec0825d6, 0x64d1c339, 0xdf2555b9, 0xb0a20e64, 0xaea79ce0, 0x4ddcca29, 0xc5e4fc35, 0xa3fc8028,
+    0x58bc6f2c, 0x44ab9138, 0x3927e694, 0xe1ffdd19, 0xbe988403, 0x36227683, 0x3d71089d, 0xeb879ebd,
+    0x109dea3f, 0x2ed63da1, 0x2db5ed1a, 0x9bc4247b, 0xb15555e3, 0xf1cb367f, 0xba3821ba, 0x90e66129,
+    0x21a65dc5, 0x94e433c8, 0x011f1875, 0xf72b834e, 0x47208a09, 0xa1fb2717, 0x2f383734, 0xfbca7542,
+    0x5813a850, 0x8370ac1f, 0x1a98971a, 0xb61f76fe, 0xca90d2bf, 0x8ff74fbc, 0x3bd13202, 0x175c9251,
+    0xb2a43f1c, 0xfdcffa73, 0x62ee4e17, 0x3c206cb8, 0xefed5b3f, 0x445ae2b3, 0x25d1a87e, 0x6335f210,
+    0xefa90449, 0xbea9d327, 0x7c5b4f56, 0x3e0f83db, 0x4d6089f0, 0xf6062340, 0x12e0c310, 0x4cdcd6ec,
+    0xf897d410, 0x5caa088b, 0xaf55981c, 0x5499a056, 0xbfbe7382, 0x5b2c3532, 0x797c0ded, 0x85fdb182,
+    0x118e9e46, 0x0c3e2f4c, 0x485822b5, 0x05f33431, 0x03744a45, 0xda6eecfe, 0xa42e41dc, 0x2c28c16f,
+    0x34c4dd5b, 0xa916e204, 0x97d42ee1, 0xf4550142, 0x469c47e2, 0xd9e4132e, 0x6370913c, 0x4f1a26f9,
+    0x7c31c3d7, 0x6b0a3537, 0x705ce6bd, 0x730e5f4b, 0x5ec61f01, 0x9457d264, 0xb2167c67, 0xe8342747,
+    0xb458d649, 0x6dc75b3d, 0xff405fab, 0x314927b6, 0x966efd72, 0x06bd1988, 0x91d42dcd, 0x5116b3e4,
+    0x8fc57bf0, 0x26a6e0a1, 0xb6ae6bad, 0x66050a7b, 0x769856bd, 0x3757d926, 0xe00b6c97, 0x1f55ac19,
+    0x512f6fa0, 0x911e7003, 0x913ef9f4, 0x2dc1886f, 0x3bb9811d, 0x4159bed1, 0xeef1e7f3, 0xf761cada,
+    0x67d8c148, 0xa665c422, 0x256a289e, 0x346507b6, 0x2eebbd38, 0x3f52ed31, 0xddc8bce6, 0x3239e41d,
+    0x0882c2e7, 0x73b61ddb, 0x1011ec71, 0x034b3e49, 0x869e9332, 0xcab103f6, 0xf8dc3c63, 0xf2936f50,
+    0x3c5b6799, 0x0c85624e, 0x6222837a, 0x26242c6d, 0x04d97e93, 0xacfa61ae, 0x865863ae, 0x9f4d62aa,
+    0x197c1482, 0x7b5bacd1, 0x65b5d232, 0x6843c46e, 0xaf298fde, 0x8f708464, 0xd8d85e1b, 0x11678422,
+    0x2a382354, 0xcb9c73fb, 0x6a9dbbdc, 0xc2056dd8, 0x40ae379c, 0x12e2df67, 0xf46892fb, 0x320950be,
+    0x44a203d0, 0x670f7987, 0x72c8db4a, 0x157f9661, 0x8221769c, 0xa0ae2f4d, 0x864a1937, 0x8d4a1cac,
+    0x0e9d602c, 0xf8cb76ae, 0x98dc13d5, 0x621bdc77, 0x635bafe2, 0xc70d4d4e, 0xdf966394, 0xa15d7083,
+    0xa447e30d, 0x58dd1838, 0xfae61692, 0x47608ab4, 0xdea6f6b4, 0xf31438e9, 0x9e8800d2, 0x612aa1df,
+    0x7b63e709, 0xe32fdd8a, 0x60bdff41, 0x5cfab883, 0x1690d422, 0x8e442209, 0x2078d660, 0x09a09265,
+    0x4cc2871f, 0xedfdf185, 0x7a229c4d, 0x35019ddc, 0xc3b24165, 0xc07fc613, 0x03464ae3, 0x6a911e0c,
+    0xd91fe2c2, 0x869b8058, 0xe4c846c2, 0xd01e657b, 0x2198ab8a, 0x58c2f28b, 0x12f0fcba, 0xc4296fc9,
+    0x9d3295c1, 0x2831f51d, 0xa8f2848a, 0x928f49de, 0x4d3746b9, 0x0ceb25db, 0x026d726f, 0x930e4800,
+    0x1500c692, 0xf1c5bab7, 0x145def9e, 0x8835f97b, 0x0d4af2e1, 0x86165c9e, 0xc6cd1da9, 0x8a440dcd,
+    0xaac1fadd, 0xd9b3f262, 0x31bd6773, 0x0fe98d38, 0x262b2a71, 0xbccfbbda, 0xa6fe3537, 0x2515eafd,
+    0x65005185, 0x1b7e4526, 0xc5e91eb1, 0x518bb730, 0xab7003e5, 0x1aa2acd6, 0xac4eed67, 0x376ba324,
+    0xacf12204, 0x44625ff8, 0x2639a603, 0x2e6c33bb, 0x489e8425, 0x6112fb4d, 0x283bd5cd, 0x0aa48428,
+    0xe70bb99c, 0x2486f876, 0x4789ad35, 0xbd1b66be, 0xb192703b, 0x10900a54, 0xd5e30d53, 0x96190b95,
+    0x98e06664, 0x73d3b27a, 0xd5c1ec77, 0xdb970532, 0x9a5129d3, 0xe6366a78, 0x877b7dfd, 0x40a2d0d6,
+    0xcf6c4ff2, 0x9fa26ae0, 0x0028b359, 0x3cbae987, 0xe11ed9c8, 0x02c0782f, 0x489bfc62, 0xfd98ec1b,
+    0x841ee338, 0x6e44a801, 0x966e0f94, 0x30e6d27e, 0x6ca18c59, 0xebbf520e, 0x83507829, 0x88fd6557,
+    0x1f094974, 0x15ec2cc3, 0x9682f58b, 0xe85f8d13, 0x4eaf71a0, 0x2af5e4db, 0x65033a87, 0x0e102972,
+    0x67b02d11, 0xf1977f89, 0x2737703e, 0xd3a9f3a0, 0x3256082e, 0xbb148e0a, 0x2a71d3bb, 0x55139636,
+    0x225cc269, 0x309fba69, 0x7f1177f7, 0x1b558eb8, 0xe17a3d52, 0x54c4f148, 0x0545c4f4, 0xfcfb9901,
+    0x9a3c0a3b, 0xb9cb98e3, 0xf414d5fb, 0x97f13f00, 0xa0bc1982, 0x2063af11, 0xf397bd96, 0xd7159f81,
+    0x74e7b2f4, 0x45e233c4, 0x813107e6, 0x246761a9, 0xf07b2497, 0xdd9fb679, 0xed3bf94f, 0x105ab911,
+    0x00a501de, 0xf37eb9e9, 0x01924f09, 0x1f957c14, 0x12c70359, 0x6d2aa24d, 0x8940e0c5, 0x43319e1d,
+    0x1a92348f, 0x97c5de63, 0x394dd854, 0xdd725972, 0x10b57891, 0x19f3c490, 0xa8d917af, 0x6e1d7078,
+    0x23419362, 0x15072c40, 0x630a8c15, 0x1dc3fe30, 0x62c6a42f, 0x946bee09, 0xffd0c1ba, 0xc46c15a5,
+    0x5ae8d729, 0xf6b27639, 0x5f3470d2, 0xdd12c414, 0xc0048835, 0xc1f69566, 0xedef5609, 0xe0501212,
+    0xc4500b15, 0xa07dfaf7, 0x1b8e9a3d, 0xf258b42a, 0x9ee265a1, 0xf7e1d666, 0x1cbe7cc0, 0xb1d4458d,
+    0x55bf170e, 0x8e98b9fa, 0xc368d588, 0xb4785fd6, 0x1b4b9ec7, 0xa7f89af8, 0xa5620ea2, 0xedb94a0a,
+    0x6b30bea2, 0xedbeb38f, 0x968ac412, 0x587c1d07, 0x0b518cad, 0x2b06fee0, 0xf5b1fde9, 0x45b0460b,
+    0x6306aaab, 0xcc7117b5, 0xad9eabe4, 0x452dee29, 0xc83754ce, 0xe811b889, 0xbb75f573, 0x640f3884,
+    0xb19e7f98, 0xf5a6c08f, 0x8ec6b46c, 0xb726fce6, 0x0ddba658, 0x5b47734f, 0x08f694ca, 0xbbb623cf,
+    0x38009506, 0xd3925fcc, 0x304f47af, 0x0466b587, 0xb049dca5, 0x4d3a59ee, 0x144701ab, 0xa8d30672,
+    0x7a74ddcf, 0xe077e79a, 0xc782d280, 0x19e1241a, 0x090ee14e, 0xf796863c, 0xdb8043b3, 0x3f287955,
+    0xe3999ee7, 0x663f525a, 0xf5c9438d, 0x24051558, 0xba3530d3, 0x8bb796b0, 0x6a9dca85, 0xfc5a32e6,
+    0x2640d7f4, 0x9d001f0c, 0x14b777e1, 0x6431dc03, 0x30ad09f7, 0x49026f28, 0x9de89b03, 0x73a1bbb1,
+    0x7022c98d, 0x4b4c9804, 0x56b21765, 0x62c6cd52, 0xd86730ca, 0xecc52121, 0x8217a458, 0x7b63b7fc,
+    0x05baa228, 0xeb7fa6ed, 0xa25b8905, 0xdc7bbe8f, 0xa2b1637c, 0xb5025725, 0x73b3a5ca, 0x504ffd3d,
+    0x099dc195, 0x43232239, 0xbf1fcd9c, 0xe3d9bac0, 0x18099c80, 0x8eb79bf2, 0x08707436, 0x8df1dacb,
+    0xa744d489, 0x9ae8d395, 0xbd619d9f, 0xd18d9086, 0x64947de5, 0x7c4a5845, 0x290e9205, 0xabbe6aac,
+    0x4afaa41c, 0x48fd7245, 0xb9c351a0, 0x4fd07b3a, 0xa1a4f29e, 0xff56edd4, 0xd2ae23c4, 0x6654c562,
+    0xab56f4aa, 0x545d13aa, 0x70646139, 0x28af6788, 0xa3014c8e, 0x0ed7cee8, 0x9095a0ff, 0xa18b98f4,
+    0x5eeb5550, 0x613008a4, 0x5141ec97, 0x820d3ba8, 0x702f5894, 0x2aec7c59, 0x6cd23b7a, 0x38252887,
+    0xf8ff0f30, 0x71536a23, 0x4928327e, 0x0491bd94, 0x7951a0ef, 0x6041519d, 0xf8590947, 0xbfbe1276,
+    0xeb62750e, 0xd332609f, 0xcb42cbc3, 0x4748484c, 0x2b0e8ea6, 0x283d56b8, 0x60d024f5, 0x3c0b9152,
+    0x51c56b8f, 0x45388929, 0x1ba29d93, 0x6aabf5ac, 0xd315d49c, 0xe68b2da8, 0xf744a44f, 0x2c94d44a,
+    0xf0bcae41, 0x3ca7e9f5, 0x9ec5015c, 0xf2f55134, 0x7bc2f84b, 0x345e63c9, 0xf7416c4f, 0xa3af85ff,
+    0xefd124b0, 0xf452fb4d, 0x352403a5, 0xc87d7241, 0x7a39b6e3, 0x735b6afb, 0x3e4180fb, 0x06546168,
+    0xbdc37249, 0x79949306, 0xc06200f1, 0x421a20e1, 0x58a74291, 0xf77f4102, 0xbefede88, 0xcfd1896a,
+    0x7b0b1765, 0x26f04e2c, 0x6de7ff72, 0x8878e779, 0xa98ba6de, 0x10bf2c1a, 0x088fb6ae, 0xf45a4b77,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000162259276829213363391578010288128 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe492, 0xbf6ff4d9,
+    0x00000000,
+    0xfe6a3f54, 0xc39f0f72, 0x968ea65b, 0xcd0d0bad, 0x1f55371e, 0x9ab9b849, 0xbe4ad76f, 0xa862e347,
+    0x3f2f08a7, 0x0a9c6af2, 0xcc49b16f, 0xe9d15415, 0x81f98444, 0xe57fbbe7, 0x3197bfcd, 0xa83f69c6,
+    0xdb6ab8da, 0x564df1cd, 0x4b2a40c0, 0x4096ebac, 0xd5a78f5d, 0x57d60937, 0x765a4888, 0x2daf772e,
+    0xe2f2ded7, 0x786aa7ff, 0x7fbfbe00, 0xed998775, 0x4c01a409, 0x501c2f59, 0x7da9d7b1, 0x0fdc4195,
+    0xeb47c48d, 0x91998a1d, 0x5119c53b, 0x47a40f7f, 0xbaca332a, 0x197e8583, 0x2ddd8a42, 0xeef49563,
+    0x5f9a01d3, 0xb0b050a4, 0x062c1071, 0xe7f2095c, 0x993f7f10, 0xd9ea73f4, 0x29ce5527, 0x7e0b4dde,
+    0x6e2adea2, 0x05b514c4, 0xb516c9cd, 0xb3b5597f, 0xc6f4a991, 0x411594b2, 0x582c675a, 0x559b8ec6,
+    0x6115800b, 0x0e240510, 0xfb8dd843, 0x51746703, 0x53dfa257, 0xc2f84e32, 0xc60b7bb3, 0x0cce04a7,
+    0x7bdcd52a, 0x7b022981, 0xf525dd91, 0x2665bf02, 0xb2d8ccdc, 0x926f63e0, 0x41d6a3f1, 0x2b889e03,
+    0x308e9624, 0xc40d8bdb, 0x209b3b2a, 0x1865c16a, 0xf43f9852, 0xb4411518, 0xc5b9a417, 0xfb971e99,
+    0x3a90bcec, 0x52766609, 0x8a9ad391, 0xcf5986fb, 0x41300659, 0x2041598e, 0x36760cc1, 0xec8733d2,
+    0xd59e7e4d, 0x297e6837, 0x8b70add0, 0xd99fa39b, 0x11e0b481, 0xec417c73, 0xd3f36e9f, 0xb3e16135,
+    0x5b235940, 0x8f600dbc, 0x12ec6abd, 0x856d0976, 0xad4fac08, 0xeff78b60, 0x01f1828d, 0xc66f7a13,
+    0xd8f8054c, 0x5f01b699, 0x6f711adf, 0x94de1e84, 0xa83ef374, 0xd58d00c6, 0xcc1fc9b4, 0x23832aa4,
+    0xcfe5bd5c, 0xebf27443, 0xcfd921b9, 0xa19c32d2, 0xa1c0df70, 0xcce556b4, 0x32fd0302, 0x57009511,
+    0x425076c3, 0x14ba4e2c, 0xbcead9dd, 0x3929410a, 0x44124ed2, 0xdb7b3b47, 0x92a0501a, 0xe7a67334,
+    0x0b6da539, 0x6afe6cf6, 0x35499d38, 0x807f0cd6, 0x1acc1489, 0x5f1be9c5, 0x2b101f7b, 0xa4fb642d,
+    0xb630239b, 0xe0902dd0, 0x37437923, 0x8abae5d6, 0xfbb49fc9, 0x77e45d6b, 0x54a63579, 0xe358ee38,
+    0xe266b5f6, 0x97ab36c3, 0xf539d737, 0xf97fcb5e, 0xc49e8e40, 0x32847567, 0x5856fa93, 0xca53e305,
+    0xbad5af31, 0x17b06312, 0x2b1fa781, 0x97a79d3d, 0xf71b12e1, 0x8c21f22a, 0x3c669029, 0xbab40569,
+    0xde449feb, 0x7a97005f, 0x5c241726, 0x2eb9545c, 0x12b54b66, 0xfe42495c, 0x85f2c442, 0x65bb5988,
+    0xdd76b7a2, 0xadbe3c4b, 0x82f6d8c4, 0x0a0814a2, 0x94ebc265, 0x46f7efdb, 0x12b93fe4, 0x28df30a5,
+    0x8836caab, 0x02163669, 0xa68517dc, 0xc89ca13b, 0xb9800865, 0x92e365f3, 0xbc55d750, 0xbf37e15d,
+    0x447c57c0, 0xbe64b340, 0x9ae16254, 0xe8939caf, 0x5672ee99, 0xe3871809, 0xf22da24d, 0xc8f71371,
+    0x2f545d04, 0x82b08943, 0x76c4469c, 0x70dd5416, 0x7511d1f2, 0x6ebffe3a, 0xa4830ca3, 0x5346c639,
+    0x1c8685ef, 0x3d1fb3a8, 0x24df8599, 0xfa4b5c91, 0x2338a86e, 0x70e1e95f, 0x6033ed5f, 0xcfceb950,
+    0x7a5847e6, 0x0e3db0a4, 0xc20d2a56, 0xa546eb3d, 0xb2c2cc0e, 0xff3ad857, 0xf9775f23, 0xbe34ecf9,
+    0xb7830574, 0x759c3665, 0xc3e56fb0, 0x528b880b, 0x67ed10e6, 0xbe52115e, 0x95e58c2c, 0x6105dd60,
+    0xf5798041, 0x6e686bcf, 0x4d2fc445, 0xc9eaa136, 0xd8ddafb7, 0xc535a773, 0x384390fc, 0xa69ff17a,
+    0x1a3df95d, 0xd8c508e8, 0xabe9a282, 0x0840a83f, 0xbaaade53, 0xf44be861, 0x022eeeff, 0x7fbb39d3,
+    0x21866333, 0x59077b9c, 0xf791744d, 0x955b56c7, 0x36c1542d, 0x58975d00, 0x3a523e8f, 0x1a33ef3f,
+    0x83a7e431, 0x005fadc3, 0x3778b255, 0xd12e5756, 0x027ddf68, 0x9ab72888, 0x4ad3dae9, 0x8b9095ba,
+    0x1893cb32, 0x59e9e036, 0xd5fa5a31, 0x0dd3f596, 0x1a5588fd, 0x80252e51, 0x41b42ed0, 0xd335dcc4,
+    0x1f38736c, 0x89ea4143, 0x264c1514, 0x4b54c9dd, 0xdbc66fed, 0x3b21222a, 0x745eb221, 0x3678ba58,
+    0x65472a3b, 0x0f2491e1, 0x0701213f, 0xcc0c6868, 0xd2fc81b7, 0xec132094, 0x57485ff5, 0x54aa67a5,
+    0xb09c8167, 0x1fd910bc, 0xb26b66fe, 0x16e32e03, 0x34418ce4, 0x8a14c4e3, 0x5b55147a, 0x7b2e0981,
+    0x7bdbcd3f, 0xda62b376, 0x69aed02a, 0x4b80d645, 0x1e0e30b1, 0x5debe2c6, 0xa3eb952d, 0xba3a5cc1,
+    0xb435c08c, 0x2ce733a6, 0x0f7df810, 0x64a1ead7, 0x8eab52e6, 0xb3d1a9ff, 0x390e8681, 0x5cdc7fe0,
+    0x9cd64d4f, 0x399cebef, 0x5c8e5519, 0x2e3d694a, 0x082f19c7, 0xccb96cc2, 0x436feb8e, 0x911a09b3,
+    0x98cc5ecc, 0x0b412d42, 0x074ebad4, 0x0d1f6203, 0xf91e2cc5, 0x4c050110, 0x4ce5f1b5, 0xa716593b,
+    0x99bad99c, 0xe04c86ab, 0x8d0cda4c, 0xde48f62e, 0xb3b97e07, 0x87e29f3f, 0x0ba315f1, 0x7c90c22d,
+    0xe0c3b6d0, 0xbe57c65b, 0xf0181b65, 0x94118aac, 0x1911c4c2, 0xc4e8ffc4, 0x3932c8a3, 0x9c640900,
+    0x500f768e, 0x2f1ab101, 0x4ef08c49, 0x6723e0b4, 0xf8f32bb0, 0x12302283, 0x2b587612, 0x2532c4ec,
+    0xe155854f, 0x7bbdfdd3, 0x8da038a1, 0x54ac0b2f, 0x19701147, 0x59d161a4, 0x39988034, 0x8c8f3306,
+    0x4b4bc23d, 0x308390dc, 0x9d407ef3, 0xa8148296, 0x3787ea88, 0xf9bf9b38, 0x4ab4ff52, 0x25d6b5de,
+    0x25218d2c, 0xd423d25f, 0x957bc37e, 0xd10887b3, 0xdae950cc, 0x037e6aa9, 0x1eeb93fa, 0x5cc49da8,
+    0x1a859630, 0x5f173035, 0xa15944e3, 0xbd7368d0, 0xb50d0860, 0xbea1ea0f, 0xbbfa7292, 0x112033d5,
+    0xefd31571, 0x88dfdc6b, 0xe1ba5b73, 0xc846d897, 0xf3223af9, 0x0d8e07a3, 0xf9908bd0, 0xe2c5e4c7,
+    0x30d7ef7b, 0x08b90ba8, 0x591ada64, 0x9c04781b, 0x03ba07e4, 0xb62e7e0c, 0xc9dc23f2, 0xf238c3d6,
+    0x10551517, 0xbd3a6d84, 0x32bf5f81, 0x914973cc, 0xf3698958, 0xc851dffa, 0x9c28164e, 0xcde296f7,
+    0xd3f01a33, 0xbfaa1e1b, 0xdc954033, 0x255dafeb, 0xde255189, 0xa7afd73a, 0xfc3bc993, 0x448e782d,
+    0x44a4c82b, 0x02b36ba6, 0x9fc1bf83, 0x0206538e, 0x867dc950, 0xbd83f977, 0x4c0edbec, 0x852cb1b7,
+    0x49e54345, 0xba13bb39, 0x52483fa1, 0xfc0787d5, 0x810ce2c0, 0x13205ca9, 0xfa99ede8, 0x8df83019,
+    0xede77498, 0xc1c72345, 0x929e4843, 0x8ad68380, 0x72b24a20, 0x77f31c15, 0xb6ad426b, 0x48470fc7,
+    0xc33741f9, 0x9ef9ba6f, 0x81d9883b, 0x549777dc, 0xd1f7c05d, 0x612caddb, 0x9536fbfd, 0x830a3ab7,
+    0xf7bcc397, 0xc0115ae9, 0x74d229eb, 0xfaaa1b19, 0x770f7d16, 0x56a09a11, 0x46c22cdf, 0xe7c39b97,
+    0x5980d85a, 0xb3f80387, 0xf0921e8f, 0x5ef8e5b1, 0xb2bbedda, 0x7c0371b7, 0x6429852d, 0x74285597,
+    0x41b806b5, 0x9d644976, 0x8cae9b3f, 0x22803824, 0xd66b1e56, 0x975b610d, 0xcae9497e, 0x605a4e24,
+    0x2515d24a, 0xff93fddf, 0xdc77232e, 0x1f618e2d, 0xe162c92e, 0x73757b0c, 0x5aad1168, 0xeff6efd1,
+    0xae25a940, 0x9a42d8d2, 0x730ad662, 0xa069b2ca, 0x0ab1042c, 0x48f8aadd, 0xebe0fd25, 0xc544ce64,
+    0x932aa532, 0xd89e0bde, 0x0f3c79bc, 0x03e0762b, 0x1b06e40e, 0x3eb17a63, 0x127e6122, 0x5c1d65a5,
+    0x7e65e9c3, 0x45735185, 0x65728886, 0x996913d1, 0x82b967e5, 0x0c7fe86a, 0xb86b8f04, 0xd4a16fee,
+    0x479aca79, 0x5f922218, 0x0e2460e4, 0x1c76019b, 0x4ba20229, 0xda37dc1f, 0x1b71586b, 0x588715f0,
+    0xc13a3f46, 0x4c26cdf4, 0x710809f1, 0x1de12f14, 0x3ec63f21, 0x3daf6e67, 0x17d88139, 0xede5abde,
+    0x115b78cc, 0x415b4cf9, 0x372b1d5d, 0x5cf048a2, 0x80c48fd7, 0xd8de2cd0, 0x03ec7a43, 0xef886e1f,
+    0xc7d11343, 0x09fd8bb1, 0xba89ebe9, 0xd1aa2022, 0x97ca60ed, 0x1d889283, 0x2bd33eaf, 0x5838f3b9,
+    0x3f6e8f82, 0x13b7b79b, 0x46239ef0, 0x267ce1e4, 0x0cecaee3, 0x5c95f2db, 0x4b82e809, 0xfda64811,
+    0x8fe8b7a0, 0x7406a5b2, 0xfe49f490, 0xefb328f9, 0x5d631111, 0xfe110942, 0x1ec87eab, 0xf15798f6,
+    0x9ca9a7ff, 0x2234bb2c, 0xea590da8, 0x0b6d66fe, 0x3f321c07, 0x75a9edae, 0x68f32074, 0x42785881,
+    0x8afce49d, 0x20fdf053, 0x53fe4b18, 0x848dbdd6, 0x153d9618, 0x726a1bcc, 0x9b8040db, 0x1429ca0b,
+    0x74c20298, 0xee9b891a, 0xdd7a1ebb, 0x3327ed80, 0x050589d0, 0xee349efe, 0x79309c8d, 0x0640b135,
+    0x9a5d5bdf, 0x6c7d2fb6, 0xe647de4b, 0x25e4aa87, 0x19e48a12, 0x193597d1, 0x47cd90bd, 0xa6f5f242,
+    0x830d42d3, 0x0b416ade, 0x9aac5695, 0x55b2bf14, 0x8a67c596, 0x0b04baa7, 0x3b051df1, 0xe46ed950,
+    0x5caeed00, 0x48d1575a, 0x201b13fd, 0x5c60c2b7, 0x6d8ac6e8, 0x9bf3363c, 0x0b067fae, 0x43391d63,
+    0xc8f61b46, 0x607878f6, 0xdc2194f9, 0xfd1f1192, 0x76a7bcc8, 0xf5a79e10, 0xb74b3d27, 0x20d2839f,
+    0xec23f424, 0x7fc674fe, 0x32b4229c, 0x2c5c6ebc, 0x88b2131e, 0x3b14276c, 0x41c87a67, 0xf4b9d734,
+    0x66f63074, 0x1dcd2954, 0xe813b8f2, 0x5a790817, 0x96630ecf, 0x59be02e2, 0xa2092a41, 0x5ea364b2,
+    0x28cd68b0, 0x36fad432, 0xd978d8cc, 0x7bbb3b10, 0xcafbedd4, 0x58491ce7, 0x7f9e550b, 0x9deef322,
+    0xc077338f, 0xa066e654, 0xb0212436, 0x7ce698d0, 0x539eb06b, 0x24143cc4, 0x8728d865, 0x16ed48d3,
+    0x63673fcc, 0x956bd091, 0x341ab782, 0x76a644e6, 0xad899350, 0x6a1fa93c, 0x85dc817e, 0xa03eb049,
+    0x1ab4aa8d, 0x01e9f46d, 0xf640e0fb, 0x73ef9ca7, 0x5bb092b5, 0xd90a5c97, 0x2dda9eb5, 0xd0a4f1f2,
+    0xbbd33fef, 0xbbaa63e4, 0x91bc4299, 0xca3cfd91, 0x590cdef8, 0x51700b0b, 0x609a8597, 0x8b104ce6,
+    0xbc933538, 0xe499e23e, 0xfd8de1da, 0x900c27b9, 0x15e494ce, 0x8893279d, 0xcf3527ca, 0x987954a1,
+    0x91c2dd58, 0xad3d704f, 0x655a31ef, 0x78ced8cf, 0xb643fdd8, 0x1279fdda, 0x0256d548, 0xb13ac578,
+    0x86bc099f, 0xe89ee25d, 0x951d4840, 0xc33b7130, 0xfacde9a9, 0x2fe05064, 0xf7cb4224, 0xeccf4281,
+    0x04457b83, 0x881aa9aa, 0x3c7317c1, 0x6154ffbd, 0x3ef46669, 0x0061b2c3, 0xb2d98942, 0xda3b2c5f,
+    0xf8464752, 0x468a641f, 0x991589de, 0x0a912102, 0xef94110c, 0x5a6955c9, 0xeb1f85be, 0xcf61a00d,
+    0xf895046c, 0x374c2f09, 0x923086bf, 0xaf560a42, 0x45f12702, 0x2f8c3526, 0x22df5174, 0x67f57adb,
+    0x860771f2, 0xb8ca8647, 0xe0d46855, 0x2800dfd1, 0x3113c2d7, 0x07c23efa, 0x7ecd7a4b, 0x4014cb69,
+    0xe05ce52e, 0x770f641c, 0x306d78f9, 0x9f18def6, 0xeb6040ca, 0x1dc3340d, 0x1c013840, 0x716befab,
+    0xcc660b00, 0x7b625581, 0x9f3e861d, 0x189e0360, 0x8921d983, 0x81b91a2d, 0xc0dcf088, 0x81365129,
+    0x430cf8a5, 0xe924b1ec, 0xf5336ec6, 0xe3b91661, 0x3e86d361, 0x18324b24, 0x5525912a, 0x4a72c28e,
+    0xc2a573cb, 0x822bfc97, 0x561e91fa, 0x62ef54a8, 0xf179b3d1, 0x9888af61, 0xa630c203, 0x899eb388,
+    0xd017ad00, 0xac89b821, 0xe078c922, 0xd34f11c4, 0x582e7d88, 0xbd983c44, 0x705ec354, 0xb87a8ef0,
+    0x831f0855, 0xcd0faeae, 0x7ef5c6c9, 0xab978307, 0x95175ba0, 0xeb73f649, 0xc15d5cb5, 0x4c1511aa,
+    0x299df84d, 0xbdbfeec7, 0x13b5c12c, 0x814a911a, 0x008a9a6e, 0x06ba8280, 0xa7034c90, 0x1f5ec93a,
+    0xfcd83851, 0x95ece804, 0x3fdc9690, 0xea90dbc0, 0xef6ae530, 0xed455dc3, 0xeea7149e, 0xc120ab7e,
+    0xcd267dc3, 0xafd73fcf, 0xdb1780de, 0x03bb72da, 0xd796cc57, 0x664d485b, 0xd34486df, 0x0032bf3e,
+    0x324e6792, 0x7be5a3e8, 0x67ec7129, 0x3e97eea2, 0x17cc3a26, 0x7df0fe20, 0x615c7765, 0xabe90874,
+    0xb370e30b, 0xaa4c1423, 0xa6caf3d7, 0x5524792a, 0xb4a5267b, 0x125ec897, 0x42e529bf, 0x00a52673,
+    0x63da597e, 0x1f0e97df, 0x3ef6b419, 0x57a202d5, 0xd5ab1998, 0xc0535c5c, 0xa206f1c0, 0x085a97f8,
+    0xfde03a39, 0x988754bc, 0xc1902f6d, 0x962dd76b, 0x075d9026, 0xf4c41b61, 0x1f99519b, 0x2efa0308,
+    0x41462387, 0xf16b9b05, 0x8ab241ba, 0xdcfaa15a, 0xb9c0304f, 0x3c21813d, 0xbfe01479, 0x50ed7b3a,
+    0xbf3894d6, 0xbafd766c, 0x09bb9787, 0x874369bd, 0xd5323e8f, 0x1af4f02b, 0x5ea45cf8, 0xd062bd35,
+    0x92fe2a7a, 0x9a950ce6, 0xcbff066d, 0x308f5c84, 0x12aef68b, 0xc204d6ba, 0x3e46f2d7, 0x39401562,
+    0xf4c0631c, 0x606a96b2, 0x10e91fb3, 0x15c8a388, 0x471f106b, 0xa9c12734, 0x5e836c1f, 0x397857a4,
+    0xca759b91, 0xcd618c44, 0xdb36f309, 0x78de9a30, 0x53b2bd04, 0xadaa402c, 0x8e5752fc, 0xf2fce77c,
+    0x17a75277, 0x3ae6a3c7, 0x016fa0d1, 0xc79fe792, 0xd7d04ff0, 0xbf8bf7fc, 0x182db62a, 0x493200d5,
+    0x6d74da23, 0xeefd7e0d, 0x6f5b3067, 0x57338965, 0x4e5b1a92, 0x82f01e84, 0x3eb3ca28, 0x5f9c5531,
+    0xe394da84, 0xcc37ca85, 0xa68f7736, 0x69b6b253, 0x42349e7e, 0x0493842f, 0x7537bf81, 0x9a64fd89,
+    0x49270a22, 0x7dddfb2d, 0x30486fa4, 0x6d03b459, 0xcb6e9bb1, 0x9d33982c, 0x8b31647e, 0xb5c1a026,
+    0x400c0f31, 0x6aa28f19, 0x116fb282, 0x906cdf4d, 0xdf1ce73e, 0xea2b85ef, 0x333b8476, 0xd6c60c5b,
+    0x21c4214e, 0xdc1cc884, 0x0f139996, 0x03c8a3c3, 0xa35a169f, 0x8ea62ab6, 0x6cb909f4, 0x0cbf7986,
+    0xf39895ed, 0x42190193, 0xd056c3fa, 0xf65c948d, 0xa4c8f3a0, 0x50047dee, 0x227fa1ff, 0xb65892f0,
+    0xa2bab5ff, 0x52fedd98, 0x3480154f, 0xdf056d9c, 0x7cc36e03, 0x8518bc13, 0xacc56d53, 0x16d39777,
+    0x42d60e96, 0x38ec795d, 0x04c9a410, 0x8793c9c7, 0x98d1cbf1, 0xb2df340d, 0x67d1483a, 0xfd20bf62,
+    0x946955bf, 0x5d985ef1, 0x63af0a76, 0x48987213, 0x6a287ba8, 0x414a3acb, 0xb788e67f, 0xbf169aa3,
+    0x74770a8e, 0x03b077b4, 0x5456a1de, 0x22b86967, 0xb8cb478c, 0x899455d5, 0xd225a4f0, 0x00f77100,
+    0x3c74f513, 0xd328e315, 0x24a167a3, 0xf93af467, 0xb53cd6f1, 0x968d388e, 0xf2eb8fb1, 0x485dd1a3,
+    0x08160ebb, 0x51799a7f, 0x25e3ddea, 0x12985b82, 0x2e261c16, 0x6b63b443, 0xc7f2f7d8, 0x239a23ba,
+    0x5be83475, 0xa7c8e884, 0x1c845cca, 0x04089834, 0x5fe00fd3, 0x602b7192, 0x6177c5e2, 0x94d917c3,
+    0x4ce5903c, 0x11404eb9, 0x1050df39, 0x78806999, 0x4c020e9f, 0xbde43685, 0x2d8520b1, 0x762bef78,
+    0xd117ef24, 0xa4e30ebf, 0x8c84ced4, 0xab27ec15, 0xacbce059, 0xda30c6c5, 0x217e3d40, 0x2d9fc2e9,
+    0x5fc77976, 0x13d259b2, 0x3c907dd5, 0xc64e6abc, 0x3df1a561, 0x147e0c2c, 0xf1dd8b68, 0x18637b28,
+    0x764a9b37, 0x1f0bc4e8, 0xe4e54ee3, 0x247ba71a, 0xb8081c52, 0x39ceed95, 0x771da1ef, 0x37bf891f,
+    0x111b8e41, 0x90d78002, 0x779202f0, 0xa20ac729, 0xe0d88689, 0x95a074b2, 0x34be5b09, 0xb5fd6c05,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000081129638414606681695789005144064 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f249, 0x5fb7fa6c,
+    0x00000000,
+    0xb47545a6, 0x25af0125, 0xb2fba203, 0x41d7f986, 0x6bc86823, 0x8504feab, 0x9d7fb2d6, 0xabbc571b,
+    0xfd6f32ef, 0xaf895ad5, 0x21343461, 0xef9d5176, 0x21c604a3, 0x12e8ad61, 0xfda436dc, 0xef0c1a56,
+    0xe6a14a74, 0x745c5ff2, 0x982d0493, 0x43492fb8, 0xa7e2a54b, 0x23ebb8fe, 0x2811bd0d, 0x2e59943b,
+    0x05d5252d, 0x3235259d, 0x686026cd, 0x92a01f90, 0x841b1e42, 0x81a00f28, 0xc8fc67f0, 0xc0451754,
+    0x79a505a6, 0x82905283, 0x611f4578, 0x8b7065dd, 0x684ad1cc, 0x2b2ea92c, 0x1c40ac2c, 0xcf392225,
+    0x4eecf03b, 0xfb9fe52c, 0xd0a9925b, 0xafd5e0ff, 0x2153fbc5, 0xec551929, 0x92033a3a, 0x4f82fe10,
+    0xfbebca18, 0x96fd8e7c, 0x9ca600ac, 0xe3d9ead0, 0x346ddb82, 0x62314807, 0xa3aa0e2e, 0x8ba50708,
+    0x6c4c0372, 0x40a86c0b, 0xe0c31604, 0x764eb740, 0x2c7ee03f, 0xf2d087d8, 0x453adc30, 0x07a06a40,
+    0xd24f0592, 0x1da888f8, 0x3e00fd8c, 0x03a1f973, 0x18e7afef, 0xcc0d7bba, 0x9bb548c1, 0x73dbdef0,
+    0xdc778ede, 0x410fe379, 0xa5a68777, 0x82051565, 0xc47bfb72, 0x6c863668, 0xe4a213d4, 0x0361cc4f,
+    0x041225ea, 0x08572af6, 0x455df4bd, 0x6192e7fe, 0x94ed4f34, 0x175c8640, 0xcd2687ad, 0x3b350268,
+    0xe4fdf5f8, 0xdb7313c8, 0x2251461b, 0x90e3c681, 0x40ea80d4, 0xfee7e19e, 0x75972610, 0x20de7f3f,
+    0x8c40c7f0, 0x15a0b5ac, 0x955efe32, 0x46bbc6e1, 0xfd98921f, 0x07db46e8, 0x135f554c, 0x297ad6c8,
+    0x795f42bf, 0x74776d7b, 0x13b03fc0, 0xb69b8394, 0x9280f03f, 0xd63a8ad1, 0x5e73c156, 0xb8b638cd,
+    0xf317ff09, 0x83507aee, 0xc40cedb1, 0x63bf0c1d, 0x52526653, 0x23aa03d2, 0xf3bfda87, 0xbb2d27fd,
+    0xc6773115, 0x22c1a0f7, 0x909b2da6, 0xaac1be4d, 0xf7a5d2fb, 0x034f26b1, 0xb42dad23, 0x3fe9bd26,
+    0xf3e426e4, 0x3795a482, 0x0c92a646, 0x182b34d6, 0x0df8e933, 0x2223b682, 0xdc36bfe9, 0xc78c159b,
+    0x735d398a, 0xc79fc6b5, 0xe1f986dd, 0x14064789, 0x73463e25, 0x03f486be, 0xe72d40ee, 0xd9a247f6,
+    0x0ed1a8c5, 0x8806342b, 0xce618a63, 0xed7b4c53, 0xcefead44, 0xd42bdb15, 0x2d27e594, 0x57f3536d,
+    0x66958a82, 0xa3779524, 0x67c89503, 0x553b83be, 0x7a34218c, 0x023b56a6, 0xc9109f78, 0xfbb9d5a9,
+    0x4cfae951, 0xedfbc792, 0x902490e0, 0xc4f59faf, 0x64e56aaf, 0x4b32b845, 0x5eb0cb4d, 0x59ad69a7,
+    0xd362f318, 0xfa15eb9b, 0x31313f2a, 0xc51203e9, 0x9edf2b8e, 0xd18d317c, 0x2ae6e5a9, 0xf4595619,
+    0x14d3802a, 0x78d4d053, 0xda5a82f2, 0xd79a19f8, 0xcee0abbd, 0x93e5fba8, 0x2ecbcea0, 0x6edcd8b1,
+    0x8c21f34b, 0x2382cfe2, 0x113b992e, 0xa871aaf7, 0xb0c53fee, 0x17fa64b8, 0x9b93466f, 0x5fce2697,
+    0x693a1804, 0x6f4b862c, 0x615ae90b, 0xfec32fb9, 0x2f1170fc, 0xc75b4434, 0xa8a745a2, 0x6c5aaef7,
+    0x800c07aa, 0xa2620afd, 0x5e3240fc, 0xe467076c, 0x9892d494, 0xf5ce11e9, 0x44c3cf55, 0x164b0508,
+    0x0fc78582, 0x5905651f, 0xd8c1f67e, 0x2213011f, 0xcaa271da, 0x592c9cc7, 0x6fc75c3e, 0x163f32d6,
+    0xb1b5b5d6, 0x929e9486, 0x6adae98c, 0xa97cb319, 0xa76a9381, 0xf92b203e, 0x521adc8b, 0x41822fde,
+    0x99c75938, 0xb4ecb83f, 0x49c4d456, 0x681e9393, 0xeffa935f, 0xc96dd76e, 0x00374904, 0xbd05686a,
+    0x2a92250c, 0x9d83b955, 0x6fe4a230, 0x438332c4, 0x57e72a48, 0xdf7cb14c, 0x2592ca5d, 0x36e2f980,
+    0xcf07e51d, 0x13138a69, 0x3e6f4e5f, 0xf66a6abf, 0x2213ff2b, 0x38f36a98, 0x149d0124, 0x9cdc5317,
+    0xea1bca9a, 0xb1773dbc, 0xc90626b3, 0xb657c8d4, 0xa71136ca, 0x65616aca, 0xfdca181a, 0x5d30162c,
+    0x798199ae, 0x66fd8711, 0x2af8e525, 0x3b9c30e2, 0x4bba12fd, 0x468a54e1, 0xdeff551b, 0xe022bed1,
+    0x7d153901, 0xc4aa68d0, 0x38f0c0be, 0xab8f9e92, 0xe2eb8935, 0x92f9d456, 0x803ee6d6, 0x2e45950d,
+    0x2b31eea5, 0xb9fdbba8, 0x0255b683, 0xf90c8d2e, 0xc7075e02, 0x4dfee6ab, 0xa045ea2c, 0xa5b06e34,
+    0xff3a3f0d, 0xe76be056, 0xd754ae91, 0x91f4370e, 0x4797e1b5, 0xc99c89b3, 0x4b91b84c, 0xa4380a67,
+    0x9dd614e4, 0x592197da, 0xfe470591, 0x94c5a26e, 0x0f4be7f0, 0xe547702f, 0x96042f00, 0xfc1455a7,
+    0xda89347a, 0x9af09cea, 0xa835b586, 0xd2b54cfd, 0xb5c2edad, 0x0cd0504e, 0x1a4dbb7b, 0xd78a2db4,
+    0x25fbc4a2, 0xec493757, 0x9eccdeef, 0x01244b82, 0xe9aca916, 0x3f9c2853, 0xe15efc44, 0xefa2f646,
+    0xdffd4256, 0x50c61018, 0x432a8925, 0x1c934039, 0xf5107406, 0x8294bc07, 0xe95d0b3e, 0xd2560d42,
+    0x2eddb678, 0x9f014f8f, 0xbedd5fce, 0x5887569d, 0x5bd97ecb, 0x144d1ad1, 0xc2fd3dd9, 0x51d15b57,
+    0xf360a293, 0x62d3bcaa, 0x5764b388, 0x15003148, 0x975ce1c5, 0x0f684388, 0x01ae5a1a, 0x81126165,
+    0x54526fb4, 0x36d02a43, 0xf73d4314, 0x5908b677, 0x41c85463, 0xd7a36cbe, 0x37af673b, 0xea398230,
+    0xe5915d67, 0xb0889ec7, 0x92ce46da, 0xaddb2d8a, 0x50573914, 0x4e0c0ef2, 0x6c655a8e, 0x1c7876d2,
+    0xfa3d79dd, 0x04295747, 0x4cfd0916, 0x68d2d666, 0x718ce5e9, 0x723149ff, 0xbc4022ba, 0x4c871c94,
+    0xc34b864b, 0x5b900ece, 0x485f1b26, 0xdabd939f, 0x3450c9d8, 0x04956faf, 0xcfc72e88, 0x690816a3,
+    0x59f28ab4, 0xeff541cc, 0x8b6826df, 0xf256bd8c, 0x84c928b1, 0xe459857f, 0xf43e445c, 0xeba36b9e,
+    0x4d18f20e, 0x682d3247, 0xe80fb6c3, 0xd094e6c3, 0xad4241bc, 0xb567e3bd, 0x7ee7ec62, 0xe564c18d,
+    0x7c586ebf, 0x66551cba, 0x9e4b8bff, 0x5704a7ad, 0x7338f3dd, 0x9671159e, 0xde018bf3, 0x37d5f507,
+    0x2b8f8b97, 0xcb04c0e0, 0xe714146a, 0xab482bd6, 0x7a981185, 0x70127951, 0x7eeadd4f, 0x82ec242c,
+    0x55a7d5fd, 0xfc422594, 0xec12cb00, 0xebf153d6, 0x946a7758, 0x02b8d995, 0x3a268c52, 0xcd86ecc6,
+    0xcf33cf9d, 0x9ed523ac, 0xb179a7e5, 0xcb1000ef, 0x1b1aefe2, 0x5e8269cd, 0x126cf48c, 0xa33edd06,
+    0x0b23955a, 0xd3034c0a, 0x7b0293ce, 0xbc8f2a39, 0x4c44138e, 0x94ff5bd5, 0x9c180bee, 0x2d57a5cc,
+    0x9b7bab9b, 0x1646769a, 0xf80f6022, 0x7aceaa17, 0x6601248b, 0x339c3ffb, 0xeaadfb8c, 0xcfcfe830,
+    0xa41d8297, 0x3edcb889, 0x1f3e15c2, 0x0f638923, 0x2b64c64f, 0xf9264376, 0x97f498ae, 0x510d5df2,
+    0xdfa1985c, 0xfd6d48db, 0xfd8a3e01, 0xa0267883, 0x29d059c3, 0x94e0f218, 0x02c57c73, 0x6f5ca4a4,
+    0xbbc87cea, 0x546a6c8d, 0x56891aa0, 0xdb999971, 0x3d714ef7, 0x7144e59b, 0xfb0e795c, 0xa5ed8744,
+    0xdb6a416b, 0xaa8ac594, 0xdb33235f, 0x72d1b503, 0x56c5bd22, 0xfc63b910, 0x7c05494d, 0xd881ebf3,
+    0xe1089cf9, 0xabf7c07b, 0x58f070d5, 0x4a56492c, 0xecce57f5, 0x63d3f34c, 0xa8ed597d, 0xfe25a1c2,
+    0xa44c0bc0, 0x3e32ba8d, 0x4b8486ac, 0x4ff6400e, 0x75e2436b, 0x0889e71b, 0xac6035f2, 0x6fcfc5a2,
+    0x998e51ca, 0x723e9832, 0xfd0dc0ac, 0x039a00a1, 0x4e4679fb, 0x86de57b9, 0xbdda85c3, 0x8d4acd24,
+    0xb35856b2, 0xe2e1d61c, 0xf14c92a2, 0x7ddc5a7e, 0xdad82e19, 0x32b9e08d, 0xb0b29f84, 0xd6c2c9a1,
+    0x1ca36595, 0x4dc16371, 0x22e20e62, 0xe913311e, 0xc787a943, 0x7e01dbd3, 0x0bf50e6b, 0x998198ff,
+    0xf8c72507, 0xdc33159c, 0x153ab2d9, 0x14fc8efa, 0xdf7f272f, 0xc3d0aad3, 0x41788231, 0x543ec109,
+    0x403b60f6, 0xdd6eff15, 0x9f15647c, 0xaba3cb7e, 0x78609b20, 0x801f02bc, 0x2cb7490b, 0xa0f7c121,
+    0xed9cac6b, 0xfda8a0fa, 0x9fd3e76c, 0x53add15c, 0x7906dad9, 0x680e3e41, 0xa3c739f8, 0x4eb87a64,
+    0xe4e2cdad, 0xd6e66277, 0xcad7111d, 0x350230bd, 0x801f91ee, 0x150e2a1d, 0x986dafcd, 0x3769d577,
+    0xa777c795, 0x3186d3f7, 0xc8ab0971, 0x3c83344d, 0xa7cf8752, 0x620b6605, 0x34c1e63b, 0x2095f9ff,
+    0x9c50d93c, 0x60080068, 0x178c35bc, 0x3de01692, 0xd5e580ca, 0x5e3c47c6, 0x326a2934, 0xf90a4017,
+    0x18f5f495, 0xc232f339, 0x957fde04, 0x335c4983, 0x23826333, 0xfdc54d39, 0x38eae2c9, 0x1b66f314,
+    0xc9f2a845, 0x3674b66f, 0x24d3919f, 0x5c3a8509, 0x5c037755, 0x54c9a922, 0x1a9a17d8, 0x18cfb3eb,
+    0xedb7619b, 0x1b805b88, 0x3a163e4c, 0x7cea67a3, 0x88882a4b, 0x1ddd37fc, 0x935759eb, 0x7c22f00e,
+    0xcd093567, 0x3abdefbe, 0xae79a95a, 0x04364b15, 0xd0755f64, 0x34b78899, 0xc6a03ec0, 0xcb699972,
+    0xf0f41616, 0x9a712a35, 0x039e490f, 0xbdc32acc, 0x488532ce, 0x5c54308f, 0x34f89962, 0x27b7686e,
+    0x715fabd3, 0xc7d6e406, 0x979d48a1, 0x2344e484, 0x63f38f3c, 0x44870a2e, 0xe8c97520, 0x005e4c27,
+    0x06f996be, 0x6a61dc27, 0xdcffef81, 0x6f26b965, 0xa65bbc29, 0xbcfca9a4, 0x51d512a0, 0xbba66353,
+    0x61cd97ea, 0x3630e7fa, 0x770101cf, 0x38bc8060, 0xa73a31e1, 0x6d87637e, 0xb767cf1b, 0xce10aa85,
+    0xe1deecf1, 0x7614a197, 0x50bcbce7, 0x2b8577c4, 0x6ee818e6, 0xe59bfe24, 0xf86738a4, 0xef131a6f,
+    0x637d7dc8, 0x53eb2f5f, 0x36dbabdc, 0x9072cb67, 0xe94d8bf0, 0x2dc20872, 0xf3feac9b, 0xbb6ebdfb,
+    0x606e6ab8, 0x85c71c20, 0xb5ce751a, 0xdc8a75b1, 0x41236496, 0x908e827b, 0x53d1df18, 0x1860340d,
+    0x7ee9ecda, 0x66ccbed1, 0x52432159, 0x2beba92f, 0x660c0e55, 0x25a7c1a6, 0x61578ba4, 0x271b254a,
+    0xe2830a64, 0xc2d9dc88, 0x6f66cf59, 0x4310c534, 0x166eba4d, 0x229b2d59, 0x3571ca79, 0x2d78df35,
+    0xd2beec5a, 0x729063ff, 0x3ff7b6ec, 0xbc00e574, 0x787e92fe, 0x5fc1e653, 0xe881f11a, 0x06c2adde,
+    0xd9588c42, 0xf9aebe0d, 0x14d6fd26, 0xee084b7f, 0x89dc6a47, 0xe1404491, 0x442ada11, 0x2c3e5674,
+    0xed7da4e6, 0xa98bc504, 0x554c6468, 0xda386c32, 0xaa5c0c1f, 0x650b1df6, 0x01ff2548, 0x1350962a,
+    0x06a77161, 0x867088a3, 0xd6538c6a, 0xe1e06c02, 0x8b8f9fd0, 0x5b43fbe3, 0x5ef7643c, 0xf076ede5,
+    0x26aad78c, 0x6b592929, 0x582e4b38, 0xd946b16c, 0x4320d69a, 0x74402732, 0x8c2c23e1, 0xa7cca23a,
+    0x22ee5fb2, 0x2f735739, 0xe72f1c12, 0x878b6fec, 0x2ea9007b, 0x18ba26dc, 0xdbd51dee, 0xe4c26d60,
+    0x0bcd7319, 0x0b24f8f8, 0x2fc89d25, 0x852ff93c, 0xd933493a, 0x074963f9, 0x58310da6, 0x9f56aafc,
+    0x58e7e061, 0xc5e0318e, 0x86d24a31, 0x15593485, 0x1eac63d6, 0x59277e87, 0x92cbbf21, 0x4675f521,
+    0x36d51e92, 0x041e86e6, 0xab377416, 0x59bbb35b, 0x9bbc43ff, 0x8b6c4304, 0x6aca7489, 0x9f1a2c58,
+    0x7f13f46a, 0xd616f4ea, 0x5b1ccf3f, 0x1a3ecc85, 0x0bb140d0, 0xad8590f9, 0x972f0621, 0x2b6c7754,
+    0x05c05f49, 0xa3e5b586, 0x6f1cbbae, 0x6452dc89, 0x62f3dbb1, 0x5d4918f2, 0x8da56821, 0x965e9ec6,
+    0xd6c93246, 0xca0981e5, 0x9c1da0c8, 0x1bf93d2e, 0x92073cc6, 0x3bd60265, 0xf023870a, 0xb5e0f1cb,
+    0x073332ed, 0xc365fcc8, 0x4571f772, 0xfd9c5cfb, 0xde98ee9a, 0x20c17f88, 0xf2c808eb, 0xe29f4597,
+    0xed1a2a9c, 0xb38945e7, 0x0074ce36, 0xf83a45f1, 0x3febff4c, 0x5cb17171, 0x094c60fd, 0x92ac71e4,
+    0x918a2aeb, 0x1c54d55a, 0x5d7f8ddd, 0x34f980dd, 0xf07ee19c, 0x387478f2, 0x9cfb5e93, 0xad0ebef3,
+    0xd37605b8, 0x97fad0f9, 0x8990bae8, 0x6a39b719, 0x5e01c9db, 0xcf692a67, 0xcd8c5705, 0xbb9b2d73,
+    0x35980892, 0xe383999b, 0x56db193b, 0x4b16d52f, 0x4116d68e, 0x21271362, 0x5fa738e0, 0xc1241f6e,
+    0xabce7743, 0x7b9714ff, 0x39ea9f2a, 0xa84a9a4c, 0xa430677d, 0xb932c26f, 0x34ec070b, 0x3e017a5f,
+    0xbb151274, 0xa2676d86, 0x77def5bb, 0x9069a537, 0x5a085656, 0x57fcc73f, 0x6a3eafbf, 0x00c9beba,
+    0x36899439, 0x01dbeed7, 0xff46782c, 0xede256e9, 0x186d5413, 0x2b409e3e, 0xd2f72985, 0xb24d4f49,
+    0x37c7c313, 0xed64a4ab, 0xed095706, 0x76769ee8, 0x47dc5fb1, 0xa2b9d8d2, 0x4790886e, 0xea3ad7d3,
+    0xb245a4b5, 0x623f315e, 0x271de09f, 0xa96da2af, 0x9215da32, 0x2c00e0d4, 0x3bd92698, 0x15970149,
+    0xf5687568, 0x1c87f604, 0xb525ad06, 0x0a2c0cf2, 0xed9f032c, 0x0c1034ed, 0x8e9dcfac, 0x4c7dbf53,
+    0x07ec4387, 0x4aa25dcc, 0x3af8cffd, 0xf570d605, 0xedba9e98, 0xb5c17f2f, 0x86420913, 0xd204eda6,
+    0x8a9133e2, 0x10500c6b, 0xf5f797d6, 0x76babc39, 0x6f963b61, 0x0d3028c8, 0x07ddc07a, 0x2386f618,
+    0x5e372181, 0x3d0d9c9b, 0xe20f8c4a, 0x046a2cd0, 0x53b34755, 0x0a4eb62c, 0x9d115b5b, 0x6e9b93eb,
+    0x6597a933, 0x16efaf30, 0xb9d4d518, 0x343dde58, 0x3b991301, 0xbf9f48aa, 0x46edfc07, 0x2df14b86,
+    0x4dbed43f, 0xc368698f, 0x35382478, 0x905e7f17, 0x0696c516, 0xeede3f7b, 0x014d798b, 0x5aca3988,
+    0x4cec343f, 0xdbfde038, 0xccdb7be8, 0xf4b18430, 0x9247e5e8, 0xf4515792, 0x86192933, 0x5a8eca38,
+    0x251ba999, 0xe7612522, 0x98abe269, 0x5d7f0844, 0x545d9874, 0x5b5ec755, 0xc8bc676b, 0x1d472277,
+    0x7bfbf986, 0x85cd5af2, 0xcd17f677, 0x0d4bbd01, 0x4e5eccfa, 0x7daaa48e, 0x7d48c4c6, 0x70d5f36a,
+    0x62c20de8, 0xa8d96eb8, 0xb42bb3a1, 0x40c47881, 0xa9ef2dc3, 0x9ea2f315, 0x23b3f4f4, 0xbba64549,
+    0x3c7139ed, 0x559830ac, 0x72506ceb, 0x544a15c1, 0x96872803, 0x35aea890, 0x6c1b2e5f, 0xb64bd8b1,
+    0x7a67c799, 0x411954f7, 0x8a979a1b, 0xc082f6c7, 0x5dfcfc1e, 0x59f65c35, 0x0144e579, 0x627f051e,
+    0xe706cd18, 0x0b4c9ce3, 0x2fc03c79, 0x744de7e9, 0xed88ba79, 0x7526f8f7, 0x7c23abd0, 0x2f6b3972,
+    0xb812d865, 0x3927334f, 0x9c2dac77, 0x505b1258, 0xf51e2a4c, 0xde2588f7, 0x348144ab, 0xabab79f0,
+    0x14e59745, 0x8dfc9589, 0xa979bd14, 0x3d07ff6b, 0xe7b14053, 0x80cc0842, 0x9e85c34d, 0xa4813309,
+    0x1da4637e, 0x1ae552d2, 0xb70f7ee7, 0x613964ea, 0x29f8e789, 0x9549ed7e, 0x5bd452fa, 0xde47279b,
+    0x59df638e, 0x374980fb, 0x8df0bf08, 0x3d7f3604, 0xa8a1b26d, 0x67c922ce, 0x124845fd, 0x4a5b25c8,
+    0x4447d3b0, 0x4871e61f, 0xed790210, 0xc166fc9d, 0xea6486a7, 0x38c47f3e, 0x36c653e0, 0x456e1d9f,
+    0x9dbe0b0c, 0x35873f99, 0xe4a0ca53, 0x089f0ee4, 0x920e54c3, 0x35127117, 0x7c9854d3, 0x8cb12fd4,
+    0x34efda81, 0x445ed3dd, 0x3c8fe79d, 0xe7d79359, 0x2ddd3f0c, 0xec664a31, 0xef901222, 0x27d46a0e,
+    0x9b523588, 0x6e6543ae, 0x1803fe51, 0x5e584dca, 0x9b31ddef, 0xfa96e523, 0xddbcc9bc, 0x7deaca57,
+    0x5177dadc, 0xfefc0806, 0x9b6c5886, 0x82bc08f2, 0x68ee7a11, 0x8e90e662, 0xcc1874d2, 0x037e72a0,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000040564819207303340847894502572032 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf924, 0xafdbfd35,
+    0x00000000,
+    0xd6ef7d5e, 0xfe27cd63, 0x1c968183, 0xec24fec4, 0x0bedc237, 0x53841f32, 0x1cc741fe, 0x2e0d70d7,
+    0x1a3ab622, 0xd9c2b1a0, 0x998f0276, 0x89bea6bb, 0x575ec5fc, 0x152719fd, 0x244e665e, 0x8d467398,
+    0x02a4af5d, 0x9e279428, 0x962b2b4a, 0x35cc62f7, 0x3e0223d6, 0x6ec92216, 0x5a01ca3b, 0xd32fa290,
+    0xa238881e, 0xa5a275b9, 0x830a866f, 0x516be770, 0x0bb1f1e3, 0x7f5c8442, 0xa670839a, 0x089b4411,
+    0x5cd382e9, 0xc1bbbc2b, 0x5b947b4a, 0x610a0f8a, 0x79b4b4ba, 0xcadf4f7b, 0xf1342cc0, 0xbdabdeec,
+    0xb04c3b91, 0x403b93ad, 0xcb6858dc, 0x2fb24cf4, 0x779e9f7b, 0x6b4c8c70, 0x1f7acbfa, 0xc818d4e9,
+    0xa9f53460, 0x74ab02b0, 0xd7a6924a, 0xf4c14634, 0x1b9dae67, 0x38ab21e1, 0x46ca3e14, 0xaf7738c9,
+    0x8f4e9f72, 0x95145e77, 0x62a5f159, 0xaf65a960, 0xe9a3fbf9, 0x468562c6, 0x8abd5268, 0xd57b87ce,
+    0x21006eec, 0x59268598, 0xf0f4d030, 0x178de91b, 0x71ad2ae0, 0x215f377d, 0xb1c80a49, 0x925232aa,
+    0x442b2a9c, 0x8e594d26, 0xb13e0ce2, 0x4746d8ed, 0xe1a5f5db, 0x5a78cebb, 0x5a3cf081, 0x3bb22bee,
+    0xced3be48, 0xe4ee3513, 0x13deea62, 0x98e7698f, 0x43832346, 0x7ee9cf87, 0x29918ce8, 0xd95e148b,
+    0x7c29076c, 0xc2402e52, 0x64e38442, 0x36acce74, 0x8e3be9b8, 0xe693fdf3, 0xc90c1f69, 0x69c046f1,
+    0xe6f45288, 0x21ae0cc6, 0xc4bccda1, 0xb1298244, 0x6a15fb1f, 0x62d26be8, 0x9070f934, 0xd35f3fa9,
+    0xd2ab2cb7, 0x02560c39, 0x74de1a4e, 0x766426f0, 0x9912b31c, 0x8aa86f36, 0x90264b43, 0x717157d0,
+    0x1351c52a, 0x1a1cf0d3, 0xcf8a96a7, 0x9a57d5bb, 0xc8b67ccd, 0xff2a7175, 0xe20e3811, 0x448a7df8,
+    0x08bcece2, 0xe5eff799, 0x04a79c02, 0xaad006ab, 0xbcde312c, 0x9b4915de, 0xc652d2ea, 0xe1198be3,
+    0xf58e3932, 0x1407b057, 0xbb72ae15, 0xbe0c9c19, 0xc1537ff3, 0xde5c6ce4, 0x9fcee89f, 0xbfc40bc9,
+    0xffbf14ec, 0x79e18a0d, 0x99c789ef, 0xc7b1fbfa, 0x41668835, 0x37aea723, 0xc76fcf50, 0x9a91ca35,
+    0x20f45f9d, 0x1e70018a, 0x71c3b666, 0xd8aef1c9, 0x407ff23c, 0xf43aba56, 0x05f034a6, 0xac44a1f8,
+    0x8969c2a4, 0xa00075dc, 0xa093a5d5, 0x4fe2b71e, 0xfccb779a, 0xdced5283, 0xc64c5cab, 0x119cdb20,
+    0x4a2e8256, 0xd9c17fc1, 0xcb927ed9, 0xc5a764ca, 0x0354f5e2, 0xb69721cb, 0x9b0ea5d8, 0x29d0803f,
+    0x1dc1efa2, 0x1c85cc97, 0x2241954f, 0x70cd4dd1, 0xeea23b0e, 0x82edda17, 0x044df077, 0x319b418d,
+    0x2a9d9fb5, 0x8f2c463f, 0xbdd1eec5, 0x04b64cc1, 0x6fb13bfc, 0x53cfaa26, 0x23514a0f, 0x2e0be169,
+    0x13354187, 0xbf3b47a7, 0x57d2f1e6, 0x3471de22, 0x919f99b1, 0x05d666f4, 0x920f6930, 0x7b607c34,
+    0x1ee08796, 0x5ece2d6a, 0x299b68d7, 0xac24b2ae, 0xf798f9a3, 0xb2b921b1, 0x358a2e74, 0xae847a0c,
+    0x9ec56156, 0xdf294451, 0x31580d83, 0x00766677, 0x7063f014, 0x12258955, 0xf8d8205d, 0xf7c96b0c,
+    0x75e55c77, 0x992c2a0b, 0x101e5427, 0x4b5be839, 0xf05cdcd8, 0x80bf6b9e, 0xe47b131d, 0xcd82f21f,
+    0xa8d9f8f3, 0x609f96e2, 0xcacf87b5, 0x1a8a7295, 0x0bc31f2a, 0x067e89d3, 0xaff36f44, 0x821ca0e6,
+    0xedb25574, 0x442d6230, 0xea60e9e4, 0x2e81066d, 0xa9121e31, 0xe4c6ecc9, 0x91ff3985, 0x0b3ee79d,
+    0xbdb4a0ee, 0x1ec33ab9, 0xf04ae0f2, 0x1d568398, 0xdbf27bbb, 0xe3cbb430, 0x19311961, 0xd5524f58,
+    0xbab73b21, 0xa1b45860, 0xb4dbe2f1, 0xe774f91f, 0x537a94e9, 0xff27378f, 0xe73b8c2b, 0xbb0a0733,
+    0x898603d5, 0x753796b0, 0xb916101b, 0x72fde7c1, 0x155a5fbe, 0x415488fb, 0x291f2cd5, 0x4d3b90e6,
+    0xd8340944, 0x306945b1, 0x8cef3d37, 0x4200cb3a, 0x8d7c1b82, 0xcb3375d3, 0xef7758e3, 0xbd6e796f,
+    0xacf23af8, 0x855cb693, 0xb79e402b, 0xb527fd00, 0xf8ce2040, 0xe357f040, 0xc30682ee, 0x0f13c0e9,
+    0x92b68f91, 0xbf471f14, 0x55f5d315, 0xa0bd9fd3, 0x9f100cb4, 0x85b2ff03, 0x10eea9cf, 0x37b5e359,
+    0xc91efc6f, 0x0e9503d4, 0x88c73e6b, 0x04ca51a4, 0x78d845b0, 0x124f28f6, 0xfe2ad8f2, 0x0c086d19,
+    0x06b1a4d7, 0x41789943, 0x02aa1c43, 0xe2b5cbf7, 0xa5c2f75a, 0xc2708d62, 0x14f7216a, 0xb08c70cf,
+    0xbad2b0e6, 0xfe6c3645, 0x392f6620, 0xf48a564a, 0x719ab56c, 0xe39599c7, 0xf1a1c966, 0xb400d0dc,
+    0x3d0e45ae, 0x78140277, 0x34744a33, 0xeda7bb0c, 0xc32ddede, 0xf97f67e6, 0x5b414cc0, 0xed56b693,
+    0x14a36672, 0x17a8beb7, 0xa2fd62f8, 0x64e43397, 0x9e1db4ba, 0xc58e0f25, 0x99da36d8, 0xf1d887aa,
+    0x8970925d, 0xf000852d, 0x20e7a602, 0xf12d8c65, 0x7e4ce7d1, 0x0d8e671a, 0x5507dd38, 0x658ca40b,
+    0x858e1f66, 0xa325a4db, 0x25d579e0, 0x36b9d0e6, 0xa318c626, 0xfad65a38, 0xe605867f, 0x1e79ced7,
+    0x9a6229e0, 0x786aacee, 0x1f881e3b, 0x247509dc, 0x96cf9db2, 0xb072f0db, 0x65ab6042, 0xeed45904,
+    0xbc115863, 0xf8fd1d17, 0xb59c1ff7, 0x49f3f862, 0xc9f03880, 0xd93616ca, 0x56716ea1, 0xe2d1e6ae,
+    0x0717822e, 0x41cb58f9, 0xd5742d27, 0xf1005f38, 0x53f0e1bc, 0x534dfa50, 0xffb679f7, 0x94b080ba,
+    0x57a410ee, 0x00c403fc, 0x13787c7d, 0xc62d08dd, 0x58c0d102, 0xc9ec07ee, 0xfafaa2d7, 0x58726303,
+    0x737ca460, 0xfa9e0443, 0x704fcff0, 0x13073b61, 0xc09f9e89, 0x0d2cdd60, 0xdd32ab09, 0x5b7bdd29,
+    0x3f5b1287, 0x9ab1abde, 0x62d75379, 0x5ba0b01a, 0x6b0a4425, 0xde3ae73f, 0x346fed2b, 0x705e3e59,
+    0xcd2d8185, 0x697f45b4, 0x50f2e620, 0x8e7807e6, 0x3d7b4933, 0xff644ec6, 0x4fe59e38, 0xd979bdfe,
+    0x8510753a, 0x3df2c6b3, 0x10d65227, 0x2cb45707, 0x7d1b4a42, 0xffab7318, 0x5bffa7cc, 0xa9dab40e,
+    0x8477c86e, 0x70844e5b, 0x2c40c2a9, 0xde1e1ccd, 0xb93f61b8, 0x5117bc72, 0xacb42ce9, 0x22beabf8,
+    0x00577f8a, 0xa44436bc, 0x30aecd28, 0xf41c0a41, 0xa27d0326, 0xc5b62e1e, 0xd4ee164c, 0x127d167c,
+    0x02990b3c, 0xd64b257a, 0x13692d8f, 0xd63abbd8, 0x69eb0e51, 0xb49794c0, 0x84ca757e, 0xea1c8fd3,
+    0xb46512c4, 0x4512e24b, 0x4ae68b9b, 0x31dcbf2b, 0x82d48311, 0x04124232, 0x981c9b03, 0x4e5ac385,
+    0x651c4a80, 0x11b69d6b, 0x7cfc41ed, 0x428a31e1, 0xcb6f84c9, 0x03baed24, 0x642b5460, 0x8d276ad9,
+    0x59e6407e, 0x9f911524, 0x8dc1cae8, 0x37e1f0c1, 0x7b2fde13, 0xa6dca4df, 0xd10424e7, 0x7c7c0cfe,
+    0x93fdca12, 0xd5224b63, 0x2212bed2, 0xbfacc688, 0x222f76d0, 0x5f0372f3, 0x33a49fd4, 0x91492229,
+    0x6414379b, 0xc079a6f7, 0xfb9aedf4, 0x5b2e1e56, 0xe4d03b61, 0xa8ac7416, 0x62701c0d, 0x14a0cd5b,
+    0x4badf89c, 0x79cd87f7, 0x4d340aee, 0x4b46300c, 0x0e2087ab, 0xfdd6d2c8, 0x4b8223bc, 0xf2400742,
+    0x17291576, 0x2064955c, 0x1cd01dee, 0x15f54e6e, 0xf24fbb73, 0x8db58145, 0xd3fef4a0, 0xab09d79b,
+    0x8c109b93, 0xa62f74ab, 0x5056bba7, 0x5c6e057a, 0x801cbe49, 0x97b7f825, 0x0e56636e, 0x91c83c95,
+    0xd0efb54f, 0x97846f05, 0x5dc5eee6, 0x37b9f8a3, 0xdec89919, 0x108856c8, 0xa8eca27c, 0x15ad3d93,
+    0x17f1b025, 0xc3927080, 0xbd43b6ec, 0xb7049be8, 0xbe9d0982, 0xca0bef0d, 0x445d2f44, 0xb9f90ebc,
+    0xaaf5c457, 0xd000f321, 0xbd261393, 0x05e1cff6, 0xc9fc89e2, 0x522f5a36, 0xafe1f73d, 0x1d28144d,
+    0xec223c11, 0x99b8e820, 0x59e8c781, 0x06ea89b4, 0x7f0b3631, 0xfbe2ea8d, 0xe32932d8, 0xdc76bf66,
+    0x3b66de25, 0xaf5a4904, 0x86ca5589, 0x45c96b5b, 0x905eea4f, 0x54d11cbe, 0x1aee9818, 0x53daa159,
+    0x707f8f33, 0x6abce403, 0xf9c8e158, 0x40f90e9e, 0x7c531e82, 0x9ae71a44, 0xd7bb9dff, 0x952ccc54,
+    0x2b8cf391, 0x4854fcb1, 0xfa8ecf4c, 0x58ce3140, 0x4a7a3f7c, 0x20bc0bbb, 0x2213c84c, 0xe1e04473,
+    0xa66675c0, 0x2b9f94a6, 0x32890fac, 0xfac232d4, 0x4050e5e4, 0x7296594b, 0x2c0905ab, 0x5024a56d,
+    0xc45f3e55, 0xe3d4ec7f, 0x5aa22647, 0x190f601d, 0x3ae8fd26, 0x91da77a4, 0xdbd2c336, 0xcda77955,
+    0x8c186bf6, 0xbee78987, 0x37df5604, 0x194dfeb0, 0xfeecdb42, 0x022bf0d3, 0xa199733d, 0x6df0cee6,
+    0x3c5dfae7, 0x513e5225, 0xaaf695b3, 0x908eac8a, 0x3a1f5714, 0x7ead75dc, 0x9aa8515b, 0x1a4cee9d,
+    0x2d41fa74, 0x646f6cfc, 0x05d0c070, 0x167556f4, 0xec174119, 0x8abf15c3, 0x55572532, 0x43f7a69e,
+    0x5f848e62, 0x24f77051, 0xda619a4d, 0x947ef34c, 0x6bf8e802, 0x42d13670, 0xa781d438, 0x831651e4,
+    0x176874e1, 0xc81a7a35, 0xe3bdbff1, 0x4ee0dc00, 0xa646e1b4, 0x5479b7bd, 0xa7d8957a, 0x6aa60d64,
+    0x94725562, 0x6f67b629, 0xa9c2c866, 0x430acf71, 0xc383276c, 0x0636a7f0, 0x7221270c, 0xda16dae0,
+    0x677c586e, 0xe2768b0e, 0xa65f9ced, 0x851d654a, 0x1118152e, 0xabe16da2, 0x38ec7317, 0xf1ebd068,
+    0xbd0685a5, 0x813b787a, 0x8db9efd1, 0x72eef207, 0x41293b16, 0xd8f8d2d8, 0xa56c7984, 0xee94f8f3,
+    0x87baa38b, 0x8ca80cae, 0x80ffeefb, 0x35c5c806, 0x951f24aa, 0x4578a7c6, 0xd02a3806, 0x273da526,
+    0xca0d3c22, 0x5557659d, 0xe5e75fe4, 0x9e5fbf42, 0xab258ebe, 0x13826db8, 0x41945005, 0xe5c8ca59,
+    0xb8e01fe9, 0x26332509, 0x79bd5c4c, 0xac7fe928, 0x7bab5da8, 0x6325122f, 0x75813520, 0xde44285c,
+    0x76d0e96a, 0x099306a5, 0x21f9a148, 0x6047edad, 0x76e5dfe4, 0xcbaabc06, 0xef7fa63a, 0x11fdfc90,
+    0x96d7beb0, 0x57eb757c, 0xc4a4ab47, 0x46fb5210, 0x8216dd19, 0xbc59ecdf, 0x5f73518f, 0x07f0100c,
+    0x76d808cc, 0x4824f82b, 0x3f5e5fc7, 0x1fca7baf, 0x3893e722, 0x07aa0f64, 0x4a3f568e, 0x8366c696,
+    0xe2561b96, 0x37b53d6f, 0xc954bb91, 0x743fb6d5, 0x5ce051e2, 0x19a3d8a1, 0x60fb431b, 0x593aaf1b,
+    0xb376dc44, 0x310317bf, 0x54798b40, 0x9e1ab473, 0x0c4172e2, 0x1e5f37af, 0x846a1db9, 0xa930af7b,
+    0xe4b20fb5, 0xaf2a8f40, 0x574d5948, 0x836c038b, 0xafcc4160, 0xd9222678, 0x7043c67a, 0x09cda0fd,
+    0xf34b94f0, 0x8c932b71, 0xa8bdae4e, 0x4222fc4c, 0x9ce377c9, 0xe947e16d, 0xf481983c, 0xfeb0f87c,
+    0xe3628020, 0x2154ce96, 0x0ee323f1, 0xc058cb90, 0xe009825a, 0x561eac8c, 0xa7e00f80, 0xfedb8f65,
+    0xeb07c63f, 0x551d9445, 0x2e34bdad, 0x895b781a, 0x1ed7cf48, 0x64eaaf9c, 0x68d77a43, 0x3a0cdf44,
+    0x1dabbc5a, 0xf650906c, 0x3d58fca5, 0x8752da0a, 0x658d267c, 0x33d8e44a, 0xa4df33c7, 0xffd75356,
+    0x6fb45ece, 0x778e24bc, 0xf1d7d783, 0x23c191d7, 0x025892f9, 0xb3a07213, 0xf73f366c, 0xc442b036,
+    0x7522e3a8, 0xd130fd77, 0x9f9abd71, 0xa6a129ea, 0xaafe4b85, 0x37a8f5cf, 0x85a3702f, 0xe9d014c4,
+    0x35c5ecb8, 0xf5969fe5, 0x19354fec, 0x08171ced, 0x8b7b4fe2, 0x70b212b9, 0xde3b528e, 0x6d4b6f4a,
+    0x7390edce, 0x9314a5aa, 0x33807253, 0x6c4e78f7, 0x025d61a1, 0x3d5536e8, 0x15ae896b, 0x7c6b4cdd,
+    0xdbfc9ebf, 0x1ca0930c, 0xeaaceccc, 0xdb479637, 0x4cbcc3d7, 0xf38f770b, 0x0e92c754, 0x3e54c134,
+    0x835bd3fd, 0x7ca5a8d2, 0xc07278a4, 0x46f6b25d, 0x13d294b2, 0x63d83b9c, 0xb726a523, 0x5ff44354,
+    0x47d367a4, 0x066dd27d, 0xf5b3c6af, 0x1594b635, 0x3fd35060, 0x9954c6e8, 0xc8bc7561, 0xadedf29a,
+    0xc523a2d9, 0xa571e689, 0x75df0af5, 0x05d84acc, 0x4bf0bd04, 0x2a686dd9, 0x5b1ab09c, 0x4cdefa75,
+    0x6cfc48be, 0xcb233927, 0x5cec36ad, 0xf30adf69, 0x9977acec, 0x99a53123, 0xf1eed729, 0x669ce55f,
+    0x09b50a32, 0xc7d1963b, 0x1fc62eb8, 0x142a7c8e, 0xcbc775d3, 0xcfb6164f, 0x735b5bf2, 0x20d038e9,
+    0xd5d0050d, 0x1f988170, 0x0db7a362, 0xacc04b99, 0xcf4d3437, 0x2914e497, 0x9ce6516a, 0x0035c6f0,
+    0x2c26575d, 0xfb4f3d4e, 0xc80f156c, 0x4614cdf2, 0x5650c60e, 0xda034403, 0xdb548f56, 0x2410de9e,
+    0x4e2ff6f0, 0xae207799, 0x97de1825, 0xb7073978, 0x2d95188b, 0x2b7619ec, 0x512a4265, 0xffa89251,
+    0xe4ad2b74, 0x4c6de846, 0x09df256e, 0x95032ef2, 0x26e82344, 0xc3e155f1, 0x2d89a3c8, 0xb4ffdc11,
+    0x51be358f, 0x16570c70, 0xff59af36, 0x64d75df8, 0xbbe37a47, 0x81ab52fd, 0x738471e6, 0x1e9e81db,
+    0xb877a30e, 0x92b79520, 0xc52621f2, 0x3b8376d0, 0xe52bc02a, 0x4a370224, 0xb1667c01, 0x9cd66ed0,
+    0xa02fde84, 0xa7cd1e35, 0x6f64f286, 0x556c8a34, 0x3bb66b39, 0x07b0765c, 0x95825187, 0x9b7fb63c,
+    0x006d8b9a, 0x256dd5e7, 0xeacaf34b, 0x644b7124, 0xbce276a2, 0xce718471, 0x23d32b27, 0xf881c0b2,
+    0x18adc76b, 0x3dbb2738, 0x06837c5f, 0x5c81e4c5, 0x1ab22990, 0x98929eab, 0xcf1b5254, 0x275a6099,
+    0xbe31dee3, 0x6f04cb04, 0x374cd5af, 0xec334b56, 0x0a7ae975, 0xbcda08c1, 0x4af07abb, 0x7df03f62,
+    0xfafc1b84, 0xcb7f7ae7, 0x4c528f81, 0x8f15e3dc, 0x5c1ceacb, 0xb8c47475, 0xca74112e, 0x4c9e3b62,
+    0x0d480445, 0xd8f00c95, 0x002352e9, 0x9aa21ead, 0xc597dec7, 0x2688b407, 0x241f4eb4, 0x8075feea,
+    0x0b0c9f11, 0x9d1382db, 0x7de126ad, 0x78374f36, 0x5b5479f8, 0x920e0585, 0x51513a92, 0xe5f950b5,
+    0x6676116f, 0xf49ac47b, 0xbdc51816, 0xa8fdc29a, 0xb994bdc9, 0x8a6114fd, 0xa59bcbf4, 0x9ba72a97,
+    0x7c434958, 0xd56ffc08, 0x92db36a2, 0xf017effd, 0x8a3887a6, 0x4362ba88, 0xfe7f298c, 0x4d2a493b,
+    0x2a9bec2b, 0x77aa6582, 0xb65f63ec, 0xb800cb33, 0xa5fb1bf0, 0xfbfa5e0b, 0x182070a7, 0x3fac4c1a,
+    0x45160521, 0xee35afbe, 0xf6cef442, 0x64fb0b18, 0x20ed0184, 0xd3057aa1, 0xe379afcf, 0xaf0e8c0e,
+    0x492b40a5, 0x9da23179, 0x0eb787b9, 0x2fb208a8, 0xc4683d65, 0xdc94c29b, 0xa8e5c7fb, 0x82f0fb29,
+    0xa4698912, 0x21f3298c, 0x52c72a18, 0x0ad93e3a, 0xe0ecf6ca, 0x1ee2d946, 0x8b67ba7d, 0x5a1e2116,
+    0xb3de7500, 0x304a9a17, 0x5f3aba36, 0x2a62ae08, 0x3ebce763, 0x23b99c9a, 0x6aac4f16, 0xe73f3f1a,
+    0xf1ffdd37, 0xdd0d986e, 0x20317744, 0x4b2af9e4, 0xebb9d41a, 0x36cbecb4, 0x52a9d261, 0x39078aa3,
+    0x8c38819d, 0x0ce06ba6, 0x9edcdd13, 0x6ac789f8, 0xaaecf947, 0x5851169c, 0x29f9de78, 0x4c2a43f7,
+    0x80e6211b, 0x6aa32945, 0x463a03f5, 0x1cf8cd9e, 0xfb60409f, 0x227e0b02, 0xa9368cf7, 0x20cafa89,
+    0x172f2f7e, 0xfa485dfa, 0xe5b4e33f, 0x40672785, 0x657d0703, 0x35b79956, 0x163d77de, 0x6137da04,
+    0x1e50b934, 0xcaa437eb, 0xfec70416, 0x5be1df6f, 0x8d49cdc7, 0x7abee4ed, 0x80347087, 0xe0aebc32,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000020282409603651670423947251286016 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc92, 0x57edfe9a,
+    0x00000000,
+    0xa5dddca1, 0xfddb5df5, 0xeab565bc, 0xc690b2e6, 0x1862291e, 0x50be9583, 0x7a6ccac5, 0xaa29199c,
+    0x41f2d3c2, 0x6e0656a8, 0xc43275ee, 0xf10e6e52, 0x9307d7cf, 0x1334efc8, 0x0226b10f, 0x66b19365,
+    0x29174cca, 0xe3a08ce6, 0x9d7584fa, 0x78aa2e45, 0xb9401895, 0x991a77b0, 0xe58f04fa, 0x33e8ceeb,
+    0xd4ae37dc, 0x66a53f28, 0x00534a9e, 0x7b6cd424, 0x0913796e, 0x4e63429d, 0x908df77a, 0xfc71095c,
+    0x3193e212, 0xe9319614, 0xa397e63f, 0x19e8b71c, 0x1b1179c1, 0xee0bd0e3, 0x66e99057, 0x5d65228b,
+    0xfda747d9, 0xfb48c666, 0xe2857491, 0x5a3704ac, 0xd7da6510, 0x3daf3f05, 0xc3b1a8d9, 0x8b93be18,
+    0xae8c6505, 0x73818a84, 0x48742864, 0x97e9f2b2, 0x45a28107, 0x2fb60931, 0xd2352c41, 0x4db69e32,
+    0x3866dcbc, 0x8b496a2b, 0xc39d1f1a, 0x52c6edbd, 0x6dec16e2, 0x282769cd, 0xe6aa8ac0, 0xc82d4a8c,
+    0x0bf441e8, 0x0b39a14d, 0xa2853212, 0x64210138, 0x59a14472, 0xa8dbe29a, 0xb69025cf, 0x4d1231e0,
+    0x5f52f231, 0x0b7fa44e, 0x825ed8b0, 0x19b2091f, 0x9d45b3a3, 0xaf53c8c9, 0x0e52dc4e, 0x16b8ff0a,
+    0x4100d362, 0x31c5e2e8, 0x676d4ece, 0x518a9517, 0x254b606d, 0x0056f4c3, 0x762684b5, 0xd6c995a1,
+    0x3b20f206, 0x0526aed2, 0x3d4222d8, 0x981eee61, 0x7ae1ce23, 0x1688c5d3, 0x0e0d9218, 0x646a9577,
+    0x185cfe25, 0xe1d48592, 0x5f2dea8a, 0xaeeca9f2, 0x4c61b90a, 0x653919c6, 0xaa53a7e0, 0x977558c6,
+    0x5cc5bb6a, 0xfcb03316, 0xed30e06e, 0x10e4f44f, 0x82ae094e, 0x24c38eab, 0xda22dcc2, 0xb66e44ca,
+    0xf33f961b, 0xa6e11e49, 0x9c82d683, 0xdbf3182a, 0xd03bbff0, 0x621c1b85, 0x9dab46f6, 0x0ea7c738,
+    0x7224bc64, 0xed24179f, 0x0183ea12, 0x2753a676, 0x6caa8a45, 0x31eb5bee, 0xa6dc3adf, 0x583a9893,
+    0x408e6f15, 0x97acf8e0, 0xe7ff930c, 0x30fac682, 0x62ca02ba, 0xfc250a78, 0x35783633, 0x1991aab2,
+    0xfe2acdc9, 0xad18b757, 0xb6ceaa6e, 0x0ddedacd, 0x4d3ab471, 0x76fc2de8, 0x35174dfa, 0xde49f5e8,
+    0xa84f83cb, 0x45df9660, 0xccac44b8, 0x9042d0d2, 0x5d909584, 0x0f5d310c, 0x932e2d50, 0x58bda05f,
+    0x0dc55b24, 0xd32bd5d1, 0x9cc41c22, 0xebf3644c, 0xa4605b31, 0xe3c865f4, 0xd2d65075, 0x2700fcef,
+    0x356a1908, 0x8ceb1ba4, 0xfde09cf2, 0x5d85ee70, 0x59425322, 0x4b5ca9a3, 0x782775c3, 0x6c05116f,
+    0x45f192f6, 0xf7ca8d61, 0x9bd3baad, 0x40a653d6, 0xdb1e2e29, 0xcd896e39, 0xc6dc3fbb, 0x9126362b,
+    0x8a1461e3, 0xf429ff12, 0xa48a695a, 0xe12ce2e1, 0xb89d618b, 0x235f8b69, 0xe97608de, 0xf6c9d537,
+    0x9eecb0bb, 0x61f999eb, 0x7c5bce78, 0xd330adce, 0xe24f435f, 0xe57cc59b, 0x79297f82, 0xcb0ed47e,
+    0x958061c2, 0x3607b8c9, 0x5fb12c6b, 0xa21f8014, 0x971ffdbf, 0xb0f7100f, 0x94671c28, 0x39d574ff,
+    0x18482355, 0x52e4e2e0, 0xff9cfcde, 0x52c4f21f, 0xcd803974, 0x9dc0303e, 0xd7b761ff, 0xe2a13a72,
+    0xb55b0443, 0x2c810868, 0x73d3450d, 0xa3950f8e, 0x09b2927e, 0x3071aaa2, 0xf0a7dd14, 0x0cba0079,
+    0x39af8c9c, 0xd9cacd2e, 0xa7a686dc, 0x3bf734cc, 0x3c8b27e2, 0xd89f647c, 0x71b51d05, 0x505ceb3a,
+    0x7f7a5dc1, 0x04b9f557, 0xfc250a71, 0x78bcedd7, 0x1ff4dea8, 0x274ef5b2, 0xa0e1376e, 0xdbcfc3f9,
+    0x5b88093e, 0xd0e95fc3, 0x1bc02bc3, 0xbe288171, 0x68c75b59, 0x690523b0, 0x5e62b01c, 0xe02d3bb8,
+    0x5be179de, 0x90ee59ee, 0x9edc4351, 0xc5f1adde, 0xde9acafb, 0xa3e8afe4, 0x2a7dfcdf, 0x4954ad8f,
+    0x7ea0763c, 0xb6f219ee, 0x75795cb9, 0xfbb4fdac, 0xc4d52bb7, 0x50a566e1, 0x9909697e, 0x7b25c97a,
+    0x65ef04a8, 0xc6c180dd, 0x2b8d794e, 0x3b54fe74, 0x151de983, 0xa63ebb5d, 0xef1bfea7, 0x4109c90b,
+    0xf4aa2f30, 0x90add087, 0xf2abe1f9, 0xbf8458e0, 0x3bde6ff7, 0xb6855427, 0xaafe1122, 0x616332bd,
+    0x8616c448, 0xca2107fb, 0x9dd336a0, 0x8a35b251, 0x6aa15420, 0x3793714b, 0x72931f1a, 0xaa023e64,
+    0x26c0c589, 0x33954e1e, 0xa8d611eb, 0xc7867111, 0xfbb9bfe8, 0xb359b4fc, 0x2777a72f, 0xacee87aa,
+    0x18cac4e0, 0x8f60b9e5, 0x6d4bcc36, 0x25959a10, 0x24c46f88, 0x3da9e6b9, 0x8db79867, 0x26beae40,
+    0xa2578796, 0x6874d4f8, 0x135b35fe, 0x081a0b2d, 0xd72514ce, 0x4dc27737, 0x449cc3c6, 0xb1d7c8f4,
+    0x9b43a27c, 0xa0807b4a, 0xd11f89b2, 0x2fe50e23, 0xc461189b, 0xa1e644ce, 0x59cec7d4, 0x1de1f617,
+    0xc3637106, 0xb65932ef, 0x3c614736, 0x2f0828dc, 0x0c9d3b8c, 0xf1a14fbf, 0xd1b27c68, 0x20c4113c,
+    0x5b1d8729, 0x323f2e04, 0x4444740b, 0xe053665c, 0x5a24491e, 0xf519515b, 0x434dd054, 0x0aed8d69,
+    0xa8635d44, 0x2b793171, 0x0f4884a2, 0x6a5c68cb, 0x23de4170, 0x746ac6fe, 0x02542e37, 0xf565347a,
+    0xba73b8c3, 0x22d089ae, 0xccc360e1, 0xfcd0855c, 0x25a27289, 0x7cdbd4f0, 0xe62f77de, 0xf44db61c,
+    0x916a0494, 0xc6177ada, 0xdf3a4ce1, 0x7160fbc7, 0x9efc5b6c, 0x0376d69a, 0xf94b1b99, 0x880db627,
+    0x11d58e8e, 0x71f089dc, 0xb6e51189, 0x54df351b, 0xbc805219, 0xa6dd4fb9, 0x9623f610, 0xe0eb0eb3,
+    0x8ebceab2, 0x420082aa, 0x50e8bf79, 0xbc1b1a70, 0x07ae55ec, 0x12525119, 0x0cbb829c, 0x6e83b551,
+    0x59b389a1, 0x1912f635, 0xd97f4a22, 0x66cc081c, 0xd9f9306f, 0xd604fdb0, 0x669cc323, 0x0c145202,
+    0x53e18252, 0xe6e30e74, 0x21461b49, 0x91c37b86, 0xeabbe8a0, 0x9b33f613, 0x87dcb21a, 0x2686ae4f,
+    0x86303ed6, 0x79bda5c9, 0x407e470c, 0xefbd179b, 0x385fab0b, 0xe550e00e, 0xdb41bfdd, 0x7270aaea,
+    0x8f064378, 0x94d1c4d6, 0x0a48d502, 0xa896b786, 0x90689549, 0x7419ba88, 0x0df4dc22, 0x2815f206,
+    0x3eee0dd1, 0x2e1a8104, 0xe8527d88, 0x9f5fae3b, 0x1419cb4b, 0x54930f0d, 0xfc0c8d51, 0x70e0d334,
+    0x92e8b950, 0x6b5f4708, 0x7069fda6, 0xce3d3773, 0x4cba0e25, 0x31ad5f60, 0xbaa074a2, 0x77598459,
+    0x42952163, 0xe3a08162, 0x7530303c, 0x5f5b47da, 0x7f5f8e5d, 0x1bf0b9f1, 0x5af0fc46, 0x4b4333f6,
+    0x1e3fc882, 0xc0c56d68, 0xb25b68ae, 0xd0c50835, 0xba820ad2, 0x29f2596f, 0xcfa6c881, 0x271ccc13,
+    0xd7105c35, 0x22db71ff, 0x767c979b, 0xd93b1d47, 0xe4f105ba, 0x240ddfe5, 0xd2390ef6, 0xda3c8511,
+    0x097628df, 0x0d22017d, 0x1a4bb4d8, 0xf7657699, 0x07d4d405, 0xf6ee5952, 0x9e669cd2, 0x577d0814,
+    0xc60eb4ca, 0x7b190730, 0xd6f80a82, 0x09852411, 0x6171447a, 0xa2a3b9ed, 0xbfd89578, 0x9fabbbe5,
+    0xe035787c, 0xa34cccfc, 0xc61576c0, 0x84e89303, 0x9ed517b2, 0xf3a75ac6, 0xcb046e97, 0xb1adce7d,
+    0x4b9b8d6e, 0xfc18255c, 0x82915e74, 0x21385a8f, 0x46d33e57, 0xaf1a6fa6, 0x52be0b4e, 0xd082e10f,
+    0x8a9a4f59, 0xd4363d50, 0xa0dfff93, 0x71000cdc, 0xb7bcf17d, 0x0c4bbdc0, 0xd0408e10, 0x85079132,
+    0x30c3ca7b, 0x7bc34bc0, 0x9442e10c, 0x3f41bbfc, 0x5ea692bd, 0xa4a8d336, 0x7d3b30c6, 0xbfacb266,
+    0xe8beeeb9, 0xf1a34685, 0x262bcb9b, 0x4753fe1e, 0x11466ba5, 0x944bea6c, 0xf4fc771d, 0xf7a39e47,
+    0x8dffb5fa, 0x58a13067, 0xc77f1b81, 0xba5fcd10, 0xbcad2e90, 0x0797c9fd, 0x8edb0c34, 0x592bab1c,
+    0x7bd75960, 0x4591e846, 0xc25b1909, 0xcedadd93, 0x0922f5c6, 0x88d0a1ab, 0x7afda47d, 0x539426fb,
+    0xdca01ae9, 0x0ad19e8c, 0xaf5ad034, 0x47c43f8c, 0x9507ae1d, 0x2ebc08f9, 0xe3fc79c0, 0x55314632,
+    0x2a00b4d6, 0x42f11d14, 0x0616c03d, 0x07b5e1c5, 0x3bf3ee34, 0x16a778bc, 0x5a415054, 0x6c81c8aa,
+    0xc889c6d2, 0x2b8331ae, 0xfeb71ef1, 0x78e9c2a4, 0x0ef5d81b, 0x2b62aab3, 0xc2fb7afe, 0x1eed68cb,
+    0xb045d173, 0x91acb446, 0x15c50e25, 0xffc96a7f, 0xc40f5293, 0x1c18ec16, 0xf4f9e49b, 0x6062ab38,
+    0x15ebbbc4, 0xcb9ef6c7, 0x1fd63bbb, 0x83458437, 0xb5e74532, 0x07ec5877, 0x426f374c, 0x58fd15af,
+    0xdf05290f, 0x14f45eec, 0x9a71502f, 0x73de3c76, 0xbba61168, 0xbb086f25, 0xaa90d792, 0x43fda8d6,
+    0x3d2d264f, 0xc2ff7b94, 0x6649c34f, 0xeac86f39, 0x4f674238, 0x377b69ae, 0x823b90db, 0xb192348e,
+    0xc9053e59, 0x0aa3a66a, 0xc0c9c495, 0xed2653d9, 0xc547a604, 0x06ad42d8, 0x87cf6e43, 0x532168ee,
+    0xb1a69b4f, 0x09466091, 0x2baa263b, 0xbd69d1b2, 0x73c2a864, 0x65d60bc5, 0x4dbd6a8b, 0x09fbc667,
+    0xa0054281, 0x2deffb3c, 0xfb3b5bac, 0xb6f00f4a, 0xced25761, 0x33b8f2be, 0x9e5a8139, 0xb63625d9,
+    0xbc4d8dff, 0x78ba9a18, 0xc0a32453, 0x3cb61dba, 0x2b8db516, 0x80d5483b, 0xc9c6a982, 0xa90d1a75,
+    0x2ad96940, 0xd5861187, 0xe137841c, 0x72a6f422, 0x08085434, 0xf8263b3f, 0x0615051a, 0x449f13bb,
+    0x3cae8385, 0xa0e414b6, 0x2296a726, 0x16cb9015, 0x04526238, 0xb7e5c333, 0x03484603, 0x82aacdc1,
+    0x84c156cf, 0xa03f14c8, 0x59e6bca9, 0x0c338916, 0xcf3439c8, 0xffef4d22, 0x2fdb20f6, 0xed77f85b,
+    0x585a62b7, 0x6420d67a, 0x1348d853, 0xb56509a2, 0xa13a20fc, 0x71a5b699, 0x921ee029, 0xc317cfc8,
+    0xcdf8fb08, 0xadacefd6, 0x258cdada, 0x413cac94, 0x17ad05a1, 0x589bfc3b, 0x4b7626dc, 0x2d3984a7,
+    0x6d5d728c, 0x943eeba0, 0x868c38eb, 0x1a49b1ab, 0x53e4f634, 0xd9390f48, 0xf47219c7, 0x4a537041,
+    0xb4743a71, 0x8e6dcca3, 0x17410bea, 0x1723459b, 0xe6931679, 0x688f023d, 0x349e374c, 0x8b9e9347,
+    0x7992b62e, 0xd6048a19, 0xab9fae78, 0x162641c4, 0x99587f07, 0x3aea00d5, 0xa842960a, 0x275ab56d,
+    0xf0eeffc7, 0xedc9da5d, 0x0747ba99, 0x75ccf319, 0x2a98459d, 0x3ef1103b, 0x657e672b, 0x5e02ab94,
+    0xf0af482f, 0x3de3120a, 0xf88a5376, 0x7e424f32, 0xedd0a598, 0xe3591eac, 0x14321655, 0x55555d82,
+    0x1a9b43c7, 0xc9d988c2, 0x84158eb9, 0x2b54080f, 0x75e748a9, 0xf11d6d02, 0xc7a21718, 0x8c7c372a,
+    0x657f7c05, 0x4fd98516, 0x59656f06, 0xeeeeb140, 0x37e25425, 0x3160cc6f, 0xa15e156b, 0x2cc5e9bf,
+    0xbe40ec18, 0x5191db42, 0x4b7027ed, 0xf76a2b54, 0x7d642648, 0x601b99ae, 0xe3cc918e, 0x0d25c06c,
+    0xc176da55, 0xb3d321ad, 0xb0acbbb8, 0xfb19c81c, 0x237b4810, 0xd72bbbf0, 0x66fecd76, 0x15fb9988,
+    0xa3aa87b3, 0x749bec1b, 0x52df9e83, 0x28063ac4, 0xdca8e38d, 0x9250a516, 0x70bb6a16, 0x089cba66,
+    0x41c24c13, 0xdb79ac05, 0x6ef29609, 0x1377be60, 0xcc0562d4, 0x635a0ad0, 0x183a8992, 0x8cb0ad27,
+    0x5994dee3, 0xcd8e19c0, 0xb86744c6, 0x618668e7, 0x672e5d40, 0xd04ade57, 0xc2fa9701, 0x2e51a297,
+    0x49956c19, 0x4496b809, 0xa2380e77, 0x62b5de64, 0x7269e6ac, 0xccca53a0, 0x0dd4162f, 0x2042bb91,
+    0x099b8046, 0xedc91228, 0x32afa462, 0x4b8ccbb2, 0x0fbfbaf3, 0x19b6b878, 0x79db6850, 0x5b99e6bd,
+    0x081f140a, 0xee4845cf, 0x80392881, 0xf6696bc5, 0xaa6dd709, 0x413500d9, 0xe9350c81, 0x424baf7e,
+    0xb66dfa64, 0x5d1ca67b, 0x930bba57, 0x897fb835, 0x427289fe, 0xd2f20296, 0x3eab72ed, 0xde3d54fd,
+    0x15dd1afb, 0xf1def9fe, 0x1db23d27, 0xdd5d6b9c, 0x51b7de43, 0x6a3b886a, 0x86c05fe9, 0x55e5ec3b,
+    0xde090cd8, 0xa5f13a18, 0x05ea0fd3, 0x3ea5c0c4, 0xdec154e7, 0xd5123c53, 0xfb47de5a, 0xc3a5209b,
+    0x67815cfe, 0xdf903850, 0x5c039b0a, 0x77116596, 0x9e7981b8, 0x443c35ba, 0xa9273b92, 0xfe8db0c7,
+    0x7cb3efeb, 0x964091ab, 0xf2f666cb, 0xe95cb4b6, 0x4735d80a, 0xa0ebf8b4, 0xb25ef696, 0x747492b3,
+    0xe849f882, 0xc6b7bd01, 0x24e60821, 0x1a51000d, 0x4d90bb06, 0xf5e570ce, 0xd5bbbfc1, 0x6416197f,
+    0x29c70eb3, 0xdf6cd386, 0xb83e788e, 0x17e52dc4, 0x242e86b0, 0x3f3751b9, 0x6f23e95a, 0xe16dec92,
+    0x8ca0de7f, 0xa446b779, 0xab990f88, 0xec575e2e, 0x70727379, 0x365ffdb4, 0xbf89a627, 0xdc33b7f7,
+    0x69df7d43, 0x9b6c5009, 0x53faa52f, 0xba661fb9, 0xa999ce44, 0x6d827369, 0xc2851cb8, 0xa79554ed,
+    0x3a99288c, 0xd3ae8445, 0xead40cec, 0xa0c82df1, 0x86417d12, 0xe17a2780, 0xc40a06e9, 0x8c846b59,
+    0x8a0e17e8, 0xd34ae727, 0xad947924, 0x3ef55e01, 0xa39633a4, 0x097cc2eb, 0xc579f9fe, 0x33eb95b9,
+    0xdc294307, 0x5cf64e46, 0x3ce22451, 0x1bbd7894, 0x618da227, 0xdf9c0362, 0x47b826c6, 0x819094da,
+    0x6b624d46, 0x699987b9, 0x999602e6, 0xa30b6aa6, 0x872ad34a, 0x15b1a004, 0x62465139, 0x1a804ad6,
+    0x9dabec5b, 0xd9be2374, 0x468044fc, 0xa4c1df35, 0x800f573a, 0x39f0079b, 0x63e65915, 0xd57f0764,
+    0x6e4ca37a, 0xfaf4d53a, 0xd3c7dc4a, 0x5724e4af, 0x10e2e595, 0xc635cfa2, 0x4eb3ba97, 0xcc177632,
+    0xea90e928, 0x2a723721, 0xc6232280, 0x247b92b3, 0xcfa1befc, 0xeddbce60, 0xa08af05b, 0x8e3bfd5c,
+    0x6f080229, 0x8167bc38, 0x5721943d, 0x5c7eaa46, 0x7175ca69, 0xa910e761, 0xde00a729, 0x302ba7dc,
+    0x2655ba50, 0x2ae11111, 0x7eb0712c, 0x82d2734a, 0xad25ec58, 0x0642a448, 0xdd6abde4, 0x9d0d307b,
+    0xc8c63490, 0x18def4b1, 0x8cab7f3f, 0x672e6fde, 0xf2bafcf0, 0x8cc5234e, 0x242955d0, 0xa6e75eb1,
+    0x5f82ad1b, 0x7b81ba59, 0xf7a4d027, 0x8f3a62b4, 0xe0ca6310, 0x5e7c5e4a, 0x8251bc21, 0x518a18a6,
+    0x0450f1fe, 0x3fd43aab, 0x03c98f1d, 0x7b9cad28, 0xc6c07ef2, 0x082e52e7, 0x5ac82efc, 0x73a8fae2,
+    0x93d04c83, 0x42817a13, 0x0795eee8, 0x85328050, 0x026fa58f, 0x8022f3eb, 0x52674004, 0xce69b322,
+    0x97b6524e, 0x78572dd8, 0x4d2ae52f, 0x4aae1a46, 0xa3b0ffb2, 0x1f826ed8, 0xe297b1d5, 0x10876101,
+    0xc8cbc9fd, 0xcb4377bb, 0xb68525c3, 0xe1fe6395, 0x12b8007b, 0x67b52b58, 0xf00f809c, 0x50f779a1,
+    0x93b1a1d4, 0x304b63c2, 0x7cd9cd8d, 0x17cd205f, 0xf7ec3bc8, 0xf4567fa5, 0x1b39e97f, 0x2d671aa5,
+    0x6f9b141a, 0xa214f330, 0x6b3922f3, 0xb34e61b4, 0x4dbfe92d, 0xbef561e5, 0x9a709f4a, 0xff396c5e,
+    0xabb4f23c, 0x6a95b612, 0x9c28d778, 0x014f4c28, 0xf98cf909, 0x90df73d8, 0x4012e41b, 0xbcbe47b1,
+    0x6430cc6b, 0xc0e3a9b9, 0x2b8003a3, 0xde9859ff, 0x805a914d, 0x8820711d, 0xd372f2b0, 0xcab0c785,
+    0x2cfea50b, 0xad12de65, 0xbfec2c01, 0x027d837a, 0x2565e261, 0x59601959, 0x0b0fe401, 0xe99f0dd5,
+    0x0a95841c, 0xc27cbf30, 0x7758f922, 0x9b615314, 0xa6a4cc57, 0xd35eb04b, 0xfe05fa5b, 0x16ec1cc1,
+    0x6f8c175f, 0x9b1d424d, 0x5f4f21e4, 0x2daf0d6c, 0xb782a802, 0xa512215e, 0x46b363c1, 0xeb2fa2d4,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000010141204801825835211973625643008 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe49, 0x2bf6ff4c,
+    0x00000000,
+    0xce10112a, 0x276ac223, 0x1d79910b, 0xabe93e96, 0x4d31ff37, 0x704bac94, 0x04b9967d, 0xbe234666,
+    0xc7fd3e27, 0x9da64540, 0x4723f372, 0x62c91b51, 0x48540b92, 0xbc25d970, 0x7a1489ca, 0xcde6cb25,
+    0x070f31f5, 0xd0e969fe, 0x967fc306, 0x3416b4e6, 0x843d0c22, 0x46ffe687, 0xb9668ce6, 0x49996d76,
+    0x00c07a04, 0x87169cf6, 0xe0da7c36, 0x1bcf7d8b, 0x5d77a777, 0xf35cc521, 0x44b5c85a, 0x4cd53197,
+    0xfe2b4782, 0x72308ff4, 0x099c9791, 0x9f6695c5, 0xef2bc5fc, 0xdc93cade, 0x65b2a535, 0x982a98ef,
+    0xe6997ae3, 0xef328424, 0x793013e6, 0x8a9c18e0, 0x7c26edcd, 0xb99f776f, 0x3276fde4, 0xa05fd801,
+    0x872e6ad0, 0xdb9dd52b, 0x6b5161de, 0x84a45c40, 0x470cb5b4, 0xe21be855, 0x633a2fad, 0x346c2838,
+    0xceaaa8e7, 0xec516586, 0x445cf054, 0xf88d1043, 0x802a5683, 0x8d1790de, 0x544dccf3, 0xddf28ef9,
+    0x2b79c2c2, 0x4074ec64, 0x959006c2, 0x8d11eace, 0x52041743, 0x83e54e33, 0xa02e4a6f, 0x3c6b4a16,
+    0xf00641af, 0x1e60634f, 0xef6e2646, 0x635b3a84, 0x85d91507, 0xf8d69bbd, 0x5385bf52, 0xedc0cc01,
+    0x88fb5963, 0x89deef1b, 0xc718593d, 0x817d61a3, 0x69d2f6a1, 0x276e15e9, 0x04f298e5, 0x7dca88d6,
+    0x555e9ffa, 0xc7831296, 0xc8ee6683, 0x7ecd65a8, 0x8c494fac, 0xc08ab64f, 0xc2853dc2, 0xd2bf2f46,
+    0xffb673e9, 0x9c1897cf, 0x88412144, 0x9347194f, 0x0b4313c5, 0xc8a00d02, 0xd45a6471, 0xd732e596,
+    0xb1082e30, 0x8291c1d7, 0x41e342a9, 0xaf386d43, 0x0c7ec046, 0x9044f9a4, 0xd0bddc6f, 0x579e0150,
+    0x66fb080e, 0x1244e95a, 0x7710c672, 0x49a603e1, 0xdee6143e, 0x868a17e3, 0x92216005, 0x6b86fca4,
+    0x6aada999, 0xd091f7bd, 0x76a3b19d, 0x240d0a50, 0xab3a15ab, 0x370a2a70, 0x8d3567f6, 0x38f03d00,
+    0x673a64ca, 0x037dc35e, 0xd4a05bca, 0xd7eef76c, 0xc6896999, 0xb60db484, 0x5466701a, 0x72137bef,
+    0x19a3b825, 0x50eb33ca, 0x45d5b6cd, 0x15fcdd1c, 0xa3b8b13a, 0x0a291622, 0x459c22cd, 0x2d4a42db,
+    0xd3ca7f3d, 0x8107a18b, 0xa9ef1dbd, 0x6e09842d, 0x4326ca52, 0xa4d47f80, 0x45452c65, 0xa13bcf86,
+    0xffc9a98e, 0x590300db, 0xc772fab2, 0xc2f593b8, 0x1ae6d71d, 0x1e7aac17, 0xdd213b39, 0x95cf7b01,
+    0x4ddfa24b, 0x3d90f23b, 0x0ee35f43, 0x4e40eb92, 0xf767bfe7, 0x9b5054fc, 0x927f79f8, 0xc5ebea92,
+    0xc3748b99, 0x5d673420, 0xf9798a38, 0x47de4282, 0x6d08a62f, 0xe04fd576, 0xf2761bf3, 0x98205eba,
+    0x62854468, 0xd99e5657, 0x929ac7e8, 0xd4c7e8f8, 0xb7a64d97, 0x06e11b5d, 0xfd6370c1, 0x6bc5208f,
+    0x253fa943, 0x14af5aaf, 0xe2d39dcb, 0x9513cba1, 0xb6d4abc2, 0x05ffc4c7, 0x861a8019, 0x3d876c0c,
+    0x6fe7e0a3, 0x62e091a5, 0xc3c19588, 0x63a8b951, 0xb85af1e7, 0xd921fbd0, 0xda2e6a66, 0x8d3b4aa9,
+    0x4cd112e8, 0xd943262a, 0x833cfa91, 0x203e514e, 0x47fa650a, 0xe238380f, 0x36e6843d, 0x9aa9e493,
+    0x3fe8e6f1, 0xf2611489, 0x546b7d33, 0xf4f80589, 0x22e4cdb8, 0xc39afe78, 0xa996051e, 0x63486a0f,
+    0x710b2dde, 0x1c0d73f0, 0xd5c9511f, 0x91b12219, 0x3d97093f, 0x74ed8345, 0x758aa88e, 0xc2927b00,
+    0xd66a9fed, 0xb68f6917, 0x478fdfda, 0x9c6e9576, 0xe4a73352, 0x1a8a1c16, 0xe0bcec94, 0x2925b4f8,
+    0x9da1a043, 0x00f593a8, 0x5894d372, 0x815c1005, 0x0016cfce, 0x33833311, 0xf922decd, 0xae2a6847,
+    0x924385e7, 0xb27124c4, 0x74bd150e, 0xdeeaf706, 0xa3b06177, 0xd2554f53, 0x2b26c623, 0x4a73ed28,
+    0xd644c24a, 0xa4b6cb08, 0xeedb68eb, 0xbfef6594, 0x50a93e69, 0x712dda49, 0xff4a0349, 0x88d38b55,
+    0x41f311c8, 0x512cc9a3, 0x00e0dddc, 0x3d7b3678, 0xd53cd380, 0xff118ef4, 0xe37a8576, 0x28f18435,
+    0x975918fa, 0x823b5247, 0x192dfcd8, 0x63b8dea3, 0xbfcf012a, 0xd917d459, 0x0e588c09, 0xc521c437,
+    0x09723b72, 0xf5420c5e, 0x28eb81b4, 0x610130ca, 0x3649fbdd, 0x7deace1b, 0x639ee5a4, 0x3bd3304b,
+    0x9e103d35, 0x47648fc2, 0xfbd297fe, 0x39125b80, 0xcb2346df, 0xa5c19e63, 0x6603acbd, 0xf28ba5db,
+    0x0cd43521, 0x490debf0, 0x7a78ac59, 0x43705be4, 0x4661125a, 0x3fef259f, 0xe787df9a, 0xcec29f07,
+    0xdaf13f8f, 0x12fca92c, 0x1fd39719, 0x44c08eb7, 0x3ba51c99, 0x29babda5, 0xf2aa287b, 0x00a3934e,
+    0xbaea5553, 0x6b550857, 0xf5d177d1, 0xc8f37c4f, 0xc7203bcb, 0x279f5821, 0x413820d3, 0x50fba4f7,
+    0x88b542f9, 0x963a4d84, 0xaae70ce8, 0x0ddb0877, 0x1750d471, 0xd198a18d, 0xa83ddb72, 0x3707aeba,
+    0x388ccf17, 0xdf646c35, 0xe13322c6, 0x92a30ec7, 0x76b0252a, 0x959498ea, 0x4bf0429e, 0x109ff7c1,
+    0xe0b10bfc, 0xe5d52240, 0x5e9366e7, 0x25dac8e3, 0x450909de, 0x1e7d4659, 0xdd56fd74, 0x49a5e9a3,
+    0xb99034c0, 0x1dedddfa, 0x0b08a7ab, 0x7671980c, 0xcd0bceca, 0x11010970, 0x2bb7f96b, 0x05cfd691,
+    0x7ea01bdb, 0x2a592e38, 0xe411c2e4, 0xeb7cfdca, 0xf5eeacd3, 0xd155fecf, 0xf9f23517, 0x915d1cf2,
+    0x9dcd921b, 0x28bad532, 0x6b0f84e9, 0xa0a697ab, 0x725ca361, 0x0b6dd70c, 0xf3cd565b, 0xf6063e60,
+    0x3a2fdd6c, 0xd4f65fd1, 0x87c1217d, 0x131db0e4, 0x260846f6, 0xfc467561, 0xb5159dc0, 0x478f63ac,
+    0xecab1e54, 0xfe195d22, 0x40d8c7b3, 0x396a78ce, 0x4a81e31a, 0x681b0291, 0x2368c9f3, 0x57f68e18,
+    0xe23e867b, 0x37164629, 0x60aafe18, 0xf244a0c5, 0x234160c9, 0x36e32eb8, 0xf4c0bbfe, 0x748e0496,
+    0x444b9f52, 0xf79e10af, 0xbe9e2ef1, 0xd09e997a, 0x33d24698, 0x8cd7a5df, 0x50432af3, 0x5d9b77e7,
+    0x128de835, 0x89b07270, 0x68547cb0, 0x1b9e2697, 0x964ddaab, 0x65db96dd, 0xe8e75501, 0x77c62872,
+    0x2eb7d1e0, 0xe0fcc9a9, 0xdf2c2983, 0xd329884a, 0x018df659, 0x60a3fbcb, 0xfc303b89, 0xf1d8e604,
+    0xf1cf69b7, 0x005f1ac6, 0x026cdfab, 0x0d483070, 0xf57c33c1, 0x90962429, 0x454a09b8, 0x5413de6f,
+    0x724707fe, 0x78158e73, 0x4989f6ff, 0xda9b1d0a, 0xad734e06, 0x9a4f520c, 0x5bdecb2f, 0x1ebaee3b,
+    0x1ed3c912, 0x2b8b3743, 0x164e71f2, 0x20854897, 0x92598973, 0x09e13ea9, 0xbf7323d1, 0xb9f01714,
+    0x2becefba, 0x4742807f, 0x757411d4, 0x0752caf3, 0x4e01bf10, 0x56303859, 0xfa5b93be, 0xfebd307f,
+    0xd4998414, 0x21150705, 0x1fab966c, 0x7a8daf20, 0xe520d10a, 0x374909ed, 0xc1965058, 0x13854d62,
+    0xb8c38ae0, 0xea45abcb, 0x85ddda09, 0xf57a3822, 0xc3aaf155, 0x0a7179a9, 0xd28babc2, 0x65c57e62,
+    0x62b5692c, 0xba37300d, 0xfdd77610, 0x5a4a3f9e, 0xb181530b, 0xf1ec0c42, 0x20b0e2fe, 0x56255454,
+    0xdb464540, 0x5c286bd9, 0xec6eef07, 0x6ebe2367, 0x0788eb67, 0x221e02f1, 0x998e6d7e, 0x9dcba2b9,
+    0xee9c7347, 0x9795134d, 0xd3192096, 0x1eeeb30c, 0x632c0263, 0x2268fe3f, 0xa28e9473, 0x9f35c123,
+    0xcaa3df3c, 0x789b8e13, 0x28a232c2, 0x28fb8a81, 0x86010c60, 0x23764e93, 0xa50b9ea3, 0x8d7f0626,
+    0x9613540f, 0x4c643090, 0x68938214, 0x6aa0d525, 0xdfc0a406, 0xaafe9de6, 0x59d3cc9f, 0xd25d93b5,
+    0xc6845b07, 0xf165a386, 0x503ec511, 0x81147581, 0x4b496c82, 0x4e38c613, 0x6466a7a0, 0xb18e071c,
+    0x98b29641, 0x36ad5ba6, 0x95b75eb5, 0x23472c4c, 0x76b6b792, 0xf026dec4, 0x26af108f, 0x40dd924a,
+    0x77ffc2b6, 0xaead6975, 0x53a1fba7, 0x3fe6c938, 0xe11d27bb, 0x623a58c5, 0xf6b3f006, 0x21cca45a,
+    0xdd37a0b9, 0x324524bc, 0x9b3fe3cb, 0x606aaced, 0x55b8b87c, 0xd2e9c9f9, 0xa9c8e745, 0x7c9432c6,
+    0x22aba7c3, 0xc5568c95, 0x8ef77657, 0x5e51c3cf, 0x09cb279f, 0x6206be67, 0x1f79abcd, 0x10a6ba6f,
+    0x910070f8, 0xe00766cc, 0xcc7fc7b4, 0x15c0e9d7, 0xc023f130, 0x146ca595, 0xfc4bb800, 0x7db31f84,
+    0x85acd461, 0x4944ce19, 0x02d349a6, 0xd6bb8901, 0x3fbda876, 0x91961523, 0x43246555, 0x72f0ebc8,
+    0x1be89dfd, 0xf301011f, 0x025b4303, 0x26a1d8b9, 0xcbf6b532, 0x8b18f591, 0xefb8cd36, 0x4eab7ff6,
+    0x1c735c5d, 0x3862e80a, 0xf335961e, 0x72c2c7e5, 0x2238589e, 0x372419c4, 0x25e0c74b, 0x9c7ed51c,
+    0x37c23c9e, 0xee44788c, 0x59a43fb2, 0x93c9d331, 0xb139b45f, 0x53ad074b, 0x47732eaf, 0xfe1d66cd,
+    0x4a9644fc, 0x777187f2, 0x3e30ec10, 0x4c535aa5, 0x876fc40f, 0xe327ac31, 0x151b43d5, 0xc813f76f,
+    0x9250dd00, 0xf5461281, 0x3d14cc3e, 0x7bb0a34d, 0x309c9adb, 0x9112cef4, 0xfd8930f9, 0xaee9e5e8,
+    0xa8779cad, 0x61571c5a, 0xe00e3eb1, 0xe49fea3c, 0xe37edb21, 0x78ed3f61, 0x3a8deec2, 0x0e3750f0,
+    0x56fe93f5, 0x43e6daad, 0x3da43698, 0x32b5c50d, 0xed6232ab, 0xb6893ba8, 0xc78cb2b4, 0xbc93e0aa,
+    0xf8821274, 0xc3f681d7, 0xe34ed7a9, 0x7bcef322, 0x58c337f3, 0x12d6e7c0, 0x8a77599d, 0x473dff51,
+    0x7677e3cf, 0xf0880bc4, 0x9e485ec2, 0xafb89bb2, 0x35130877, 0xce2c8b9c, 0xadf25e24, 0x35526b16,
+    0x1c1e5afb, 0xd94e8ea5, 0x0d646a03, 0x6455e4be, 0x3f885b27, 0x9bb718f8, 0x4c0b8ee7, 0xcdf84367,
+    0x9d633ae1, 0x1b648568, 0x321a70b5, 0xb95e49d3, 0x332d8dff, 0x5398a276, 0x19080da4, 0x69efc9bf,
+    0x2268709c, 0x425a722f, 0x1b311c08, 0x2430b6cb, 0x4c72a058, 0x9ba4dbd8, 0xf3525686, 0x3bf7c96a,
+    0xb00040a9, 0x2947f009, 0x51d63bdf, 0xc5a2feab, 0xf00a6610, 0x035eb9dc, 0x78f5338a, 0x9e16c981,
+    0x046c4711, 0x89a402c0, 0x8e395f3d, 0x35f911ac, 0x976b3580, 0x17620102, 0x6eef4a2c, 0xb730496f,
+    0x1dbc6560, 0x9dd5e146, 0x0eb30f3e, 0x02feb778, 0xcd93a9dd, 0xe274e3d1, 0xba32ee6e, 0xeb03a396,
+    0x1ea2fa0d, 0xd1397aba, 0x7c5a04ae, 0x4f3b16e9, 0x5c07ab6f, 0x91d87f4e, 0x6607ae16, 0x7d97517c,
+    0x492b07fe, 0x210a89b7, 0x27b9c799, 0x04abbdd8, 0x760bf287, 0xd0785c09, 0xf4e7a2dc, 0x57d89817,
+    0xce31cfce, 0xe06fc823, 0xa434cf48, 0xc803040c, 0x61390584, 0x3fb98ccf, 0xc3bcb4f6, 0x12230172,
+    0x56284e42, 0xe07a4418, 0x7872d276, 0x323bf7e1, 0xcdd91b11, 0x7842830d, 0xe65fb87f, 0xb87a939d,
+    0x7ce76b90, 0x953aeb28, 0xfd16f653, 0x61977edb, 0x43a5ee7d, 0xc8bad818, 0x56b522c6, 0x8b05d541,
+    0x2cacbab6, 0x5ae70e42, 0x6aa2ec8d, 0x9a23f5cd, 0x0f54c0a0, 0xac44776a, 0x89779e6d, 0x209d3b0c,
+    0xcd207147, 0x3f2b3865, 0xab6a5632, 0xdea923e7, 0x8066f35f, 0x2f749460, 0xbe03cd2a, 0x01c8fa94,
+    0x0d479b57, 0xfbb2e087, 0x1c3a6080, 0x341eb492, 0xa24b3bf9, 0xa357ad57, 0xa104938c, 0xb79dfb0f,
+    0xd31c4075, 0x2b178c8d, 0xfbceb609, 0x6d04c3a1, 0xf8690df5, 0x78299719, 0x77075807, 0x6be504b9,
+    0x99f6a6c7, 0x46dc5aef, 0x1b5cc644, 0xdd6b3432, 0x0b4c7420, 0xc33cec20, 0xc06bc057, 0xd2ea121c,
+    0x98649c08, 0xc0609ea3, 0xe07eabb7, 0x64403164, 0xfb59d854, 0x9ad2730e, 0xe9e53799, 0x9cf5097c,
+    0x6a82d146, 0x0d941f9a, 0x30a4dd45, 0xe6bce7b2, 0x71847e82, 0x726d3dce, 0xb29f5eaa, 0xb6ceb6ce,
+    0xa8b0bcad, 0xe4c4f3c6, 0xc6674576, 0x39e78d40, 0x71c9a7c3, 0xad1f84f5, 0xc063c594, 0xff5ce39b,
+    0x66ca03e9, 0xb69b682b, 0x732ceabb, 0x2de3758a, 0xf8f4c0f8, 0xb97da805, 0xdb8a9a9c, 0xcd53f853,
+    0x59ef1830, 0x783ed371, 0x6ae70fa3, 0x88a38919, 0xb9b874b9, 0x3a8d98b9, 0xea53303f, 0x994ade7d,
+    0x047a8774, 0x3ec524a9, 0x351a6a42, 0xc8295e1e, 0xd9b8fcb2, 0xd74c6401, 0x7ba88543, 0x19289a21,
+    0x3f2f8ea1, 0x732c004e, 0xbe42dc32, 0xbc4ae081, 0xb689556b, 0x9e20d103, 0xf4e15466, 0x56cced09,
+    0x72311ac2, 0x1a7c3611, 0xace9b170, 0xcb6d43d6, 0xcd49bc6e, 0xf6c89bba, 0xdd2f74b7, 0xfeb5a3b0,
+    0xc205aaa5, 0x5963778c, 0xa4b096c0, 0x9539e87d, 0xbd9c1196, 0xbe85c987, 0x08f012d5, 0x1a7ddb38,
+    0x2ed10950, 0x805193ee, 0xedb7c7b9, 0xe30a5ac5, 0x98976259, 0xe5f27aeb, 0x4c0b12dc, 0xa59ad463,
+    0x5d735a30, 0xa0be4889, 0x1befa0f2, 0xc375bb0d, 0x62e1d413, 0xffb2f0bf, 0x4cb05e6c, 0x0ad3d2e4,
+    0xe956e272, 0xcde39959, 0x783925d0, 0x8405bfe8, 0x27141ce4, 0xf495e295, 0x6a13d845, 0x346135d7,
+    0xfee2386d, 0x8c309e1c, 0x9011c34a, 0x1fd6eeb2, 0x812e72fb, 0xc127d25c, 0x383493f0, 0x97bf59b4,
+    0xf30dd559, 0x688ea326, 0x347e8ae7, 0xbba6153b, 0x4aac296c, 0xbbe58642, 0xf3754bee, 0x1f74f811,
+    0x5a2c3254, 0x61851714, 0xc112486c, 0x06931153, 0x66326312, 0x9c2875e0, 0x44991dbd, 0x1e8be521,
+    0x10203b02, 0x7ad30e91, 0x722f5e22, 0xd66977b0, 0xc3361853, 0xd805b05a, 0x2b9296c6, 0xe1348312,
+    0x1e90005e, 0x19f609c8, 0x27d599d8, 0x9278bd96, 0xda091df8, 0xddc3dcea, 0x70060758, 0x4b3233f0,
+    0xd095ab27, 0xc6d89b76, 0x25b60b94, 0x2e8ab046, 0x7c5c15df, 0xb9a4f4b7, 0xb136a627, 0x0c1a2204,
+    0x45a1a3ec, 0xdac68b45, 0xdf31a215, 0x4c2016a6, 0x6d4268f9, 0x0d1fae3e, 0x9a2eaac4, 0xe9c03ec9,
+    0x6df14221, 0xab3d14c8, 0xd9004fb4, 0x2ab48e87, 0x8381885a, 0xa9493e15, 0x6cd2703f, 0xeb72b30c,
+    0x964ea159, 0xa777c0ce, 0xa1958ae2, 0x6d6854cb, 0x72bcb0ac, 0x6c122b5c, 0x74784fe2, 0x3bbec5dd,
+    0x5e6f8ce9, 0x2e3efd92, 0x4fcfb978, 0x1abeafcb, 0x57fdcdd0, 0xf4b2fd45, 0x0d3266d9, 0x338b00d0,
+    0x2d0f7c34, 0xc5075923, 0xfd25014b, 0xf13a8dea, 0x459b4c36, 0xb264c843, 0x9bda1089, 0xc8e2a5f8,
+    0x39cbbec5, 0x862d3f47, 0x8ac821ba, 0xf16c6433, 0xfe78f7dc, 0xcb2fb4e9, 0xef7e4026, 0xd98f72c8,
+    0xde7d1878, 0xe720a144, 0x8256f036, 0x84b8ccc8, 0xbbee8488, 0x8c8907a3, 0x3afde182, 0x96d967aa,
+    0x17c9f7bb, 0xe7d9ac21, 0x2ecf2456, 0xd6c25e83, 0xf51f7b79, 0xfd66c9d5, 0xc19256a1, 0xee97c3d7,
+    0xa6512025, 0xb27a77ff, 0x2a87702f, 0xe0db5ed1, 0xf68878d5, 0x8f0c37e2, 0xcd7b1abd, 0x4dd3460d,
+    0xebeba152, 0x840b98af, 0xc51d36f7, 0x3a14ecb3, 0x5b2738ad, 0x5f9504f2, 0x63e0f514, 0x668fc219,
+    0xe07a4e05, 0x000708d4, 0xa1f1caf4, 0x787d98d9, 0xfb9ccf31, 0x31663b85, 0x7312a843, 0x0f7b9625,
+    0x2ec72b00, 0x6623a4d4, 0x6d095e35, 0xfeafa017, 0x92b5d5d5, 0x8a804542, 0x4401b29b, 0x3dc1bf36,
+    0xcee7026f, 0xb8c19a7a, 0x1e29bd42, 0x56756237, 0x55fc8e20, 0x13abd72e, 0xb16ba138, 0x5288809d,
+    0x339cf0ca, 0x0c2292a7, 0xb1da5030, 0x62b97036, 0xbccfd030, 0x09e8ddce, 0x8f6f9b01, 0x357164ff,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000005070602400912917605986812821504 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f24, 0x95fb7fa5,
+    0x00000000,
+    0xe5ad9d4d, 0x3b75b353, 0x97fde9da, 0x6f3da9bc, 0x50c9c635, 0x52f416e7, 0x5cec5fa8, 0x16c95f4f,
+    0x4c373428, 0x1e5c952d, 0x67207e49, 0xb3542331, 0x450768da, 0xd0726812, 0x60731903, 0xbe685b50,
+    0x09a871e5, 0xc14f7ba2, 0x8adefebc, 0xed4e1ed0, 0x6cf5f18f, 0x3e16e8c9, 0x47f82414, 0xa8f4a57e,
+    0xf6b2a4d0, 0x5f8d1dfc, 0x280ca4d2, 0x65547a89, 0xb52fa922, 0x6aed2d31, 0xeb36bf67, 0xb5965e72,
+    0x39fc4092, 0x9a41b6a3, 0xb721ec7a, 0x39bd0e1b, 0xef0c2614, 0x3462d99c, 0xad344105, 0xb523ec9b,
+    0xf879396f, 0xd39753e4, 0x77f02653, 0xa4ca24e3, 0x52fcecf6, 0x72a64cef, 0x2e3063e5, 0x785af93c,
+    0x5b96b5e5, 0xd225923a, 0x9ccb2edb, 0xb65c288d, 0xcca5d21b, 0x6f4eb223, 0x8e49df6e, 0xdd9eba1f,
+    0x97569001, 0xe2e41e37, 0xbe39082f, 0x28ad3ed2, 0x2e731c91, 0x86433767, 0xcb046a9b, 0x593d70af,
+    0xd0de8049, 0xced8124b, 0x22eee9d0, 0x71ab0e5b, 0x7b4c82ed, 0x73a00e92, 0x7ba4e593, 0x9c401c64,
+    0xe1af471e, 0x43ef45bb, 0x367501ab, 0x3c8a4f37, 0xc886d781, 0xbfde79f4, 0x5397a2e5, 0x954216d6,
+    0xd2f56d29, 0xea18405f, 0xde8c3203, 0xb8a65515, 0x38288acd, 0x81b830da, 0x3bf33697, 0x312ae44f,
+    0x311bd891, 0x49876064, 0xe5d12839, 0x097eba15, 0xb1d00825, 0xf1e104ac, 0xcfae446f, 0x4dc50287,
+    0x9691ea32, 0x9f57c834, 0x4d5cfec6, 0xd5dcb540, 0xceef5c6d, 0xd954629b, 0xf62c9d0e, 0x42ae763e,
+    0x30c6d1a2, 0xab19d40f, 0xde940caa, 0x5cde3a67, 0x36344410, 0xd594d2e4, 0x7412ac69, 0x7951d792,
+    0x077f23d6, 0x3f456436, 0x285ea4ce, 0xf99f0cbe, 0x3dc68782, 0x54d4d674, 0x031bd3a1, 0x486a4ad0,
+    0x0c3af33e, 0x8c00989d, 0xb4eca469, 0x5067c796, 0xfc7ffc16, 0xc88a7e08, 0x78348135, 0xa361b067,
+    0xc49fd166, 0x75fdd509, 0x3a0525c9, 0x23257458, 0x95d9f8e4, 0xa8a5f1bb, 0x838effcf, 0x7dd76557,
+    0xa6971d08, 0x735c0606, 0x63a0206a, 0x36126a9b, 0xb65351c7, 0xe78fc233, 0xb53ca80f, 0x9a1a51fd,
+    0xeccb6bf1, 0x98ffef8d, 0x645ffb31, 0x2bc9a1fc, 0x10d68f20, 0xe9d0a652, 0xd0311db3, 0x0d9f351f,
+    0x36dd6739, 0xd80b5e58, 0x3ce175e0, 0xd1a0538d, 0x526f4c17, 0xa2472a19, 0xad61ebdb, 0xbe161ab3,
+    0x40ca9ad5, 0x59a4814e, 0xc5b5949e, 0xd58eb4f8, 0xa93f28ca, 0x223be84c, 0x32b11f50, 0x9683af1e,
+    0x8024b4ca, 0x7dede7d3, 0x2cd32be9, 0x976ddd9b, 0x12ddd505, 0x0c2ba361, 0x2d3dd69a, 0x3aca4655,
+    0x0713f1c8, 0xa0e63b3d, 0xcb60349c, 0x02b0816b, 0x10f838af, 0x5608f0f6, 0xaedcb7ff, 0x09ed59e2,
+    0xf9fe9e1e, 0xd1fd0306, 0x1411933a, 0x5ff3e100, 0x0cedda64, 0x2a59f089, 0xb8b99597, 0x2af88b92,
+    0x8d48ded1, 0xf6b86d24, 0x1d7dbaf9, 0xea7b8834, 0x3cf969ff, 0x49695eca, 0xc36b6511, 0x831d72a0,
+    0x80410469, 0xf9f878d0, 0xd13624ba, 0xfa82fdc3, 0x66591e4c, 0x1d9b75e5, 0xcfe20ee8, 0x3cdcc0e3,
+    0x4adfb430, 0xd94b8a1f, 0x911d1fb2, 0xf14c9703, 0xd823797d, 0x1be97477, 0x63b7f289, 0x73ac6ecb,
+    0xbf8a6d48, 0x54e78935, 0xe0361364, 0xcb0ad860, 0xb4c4ccbf, 0x44767516, 0x316590c6, 0x105a6c41,
+    0x2e6df8d9, 0xb651b67f, 0xfb946519, 0x3302dd51, 0x2c2c0c87, 0xafd0cf56, 0x6af01d91, 0xe3deafbc,
+    0x050ebc28, 0xb93894b1, 0x73e56d6c, 0x024d967e, 0x28f2d37b, 0x1bad2095, 0x24c8e72c, 0x9aa35706,
+    0x55b15487, 0xf34656a8, 0xe8e2d04d, 0x5557728f, 0xf2574db1, 0x7f9753a2, 0xbf8fad26, 0xfe88fe8a,
+    0xf91630a3, 0xe443f6c9, 0xb9e6bc8c, 0xe44a3ea0, 0x078e2dea, 0x7559272b, 0xacd171e8, 0x04e8a13b,
+    0xb5a2106f, 0xb8f93df6, 0xe80a09cb, 0x700305b6, 0x3faed031, 0x8125a484, 0x28f88fc4, 0x373b4e98,
+    0x6f03f092, 0xcfe154f9, 0x8da9abc5, 0x95aaf56d, 0x69bdcba0, 0xe5ca0745, 0xbd773452, 0x7b7754ff,
+    0x19b3d3ba, 0xe6fee1fc, 0xe8d73a04, 0xc9b23f72, 0xe79a592f, 0xa4e0906d, 0x1c56b729, 0x60c2d51d,
+    0x768d4830, 0x9f71423a, 0x4e238647, 0xa4a770b0, 0xb49dc408, 0x3d3ebb9d, 0x9c1bb6a7, 0x38cdb5a8,
+    0xbaee6237, 0xea4ca078, 0x7e2da286, 0x1266dba1, 0x01384205, 0xfa5a76ce, 0xd5a18a24, 0x25f278ea,
+    0xdb6f325a, 0x8feef128, 0xdc92c72a, 0x0058e1e7, 0x463cf6db, 0xd4555492, 0xb64a69d8, 0x623269ac,
+    0x850c1114, 0xfeead86f, 0x94c7102e, 0x2e1f9ea9, 0x37fa423b, 0x2709cfef, 0xa393c864, 0xd41399c1,
+    0xfffaa643, 0x38f44847, 0x62bea884, 0x0b7ce390, 0x84d80967, 0x53274913, 0xfde9251b, 0xd02e194b,
+    0xd927cb5f, 0x7c0b1b27, 0x438637e7, 0x2600bfa3, 0x999726d8, 0x47f36d94, 0x3fb8a76a, 0x9fa8b644,
+    0x1d1deada, 0x23030049, 0xbc3dd1d3, 0xc95a7292, 0xb932c7b2, 0x765f972d, 0xc7e0ff24, 0x4828c3ea,
+    0x81c64535, 0x3ee8249b, 0x0dcfa376, 0x21258144, 0x9103b4df, 0x05470fdf, 0x2dacabdf, 0x81ee5669,
+    0x2ab7410b, 0x4433aa12, 0xc85381d7, 0xc9166794, 0x2fbc4c38, 0x65825cc5, 0xb36097ea, 0x67e2d0fe,
+    0x613366a7, 0xc95c591a, 0x7dfff721, 0xf33edd18, 0x07d28fce, 0x226da28d, 0x5200f048, 0xab69b7db,
+    0xb07acada, 0x3e5ad8cf, 0x7067c885, 0x1af7b5be, 0x283b69aa, 0x40957c7a, 0xe207cf36, 0xe21a7d6e,
+    0xa6be5dda, 0xc2761e16, 0x6b79aca4, 0xeb1bea8e, 0x40ea28ed, 0xdd07894e, 0x49549897, 0xe91a840f,
+    0xfa722968, 0x3e1e118c, 0x55b01ee0, 0x6f9dd487, 0x0e41bdd1, 0xa477e4d4, 0x1e99df01, 0xa9030e16,
+    0x233f3b7b, 0x9dba1ccf, 0x657d52c5, 0x92a3fb67, 0x31ca7428, 0xac434833, 0x89e0aa37, 0x2d319a72,
+    0x59141de2, 0xede1ef60, 0xfe3d4958, 0xadf1a2df, 0x3c23fcc2, 0x1bfa2d1f, 0x6ac569f4, 0xde76530e,
+    0x6b3c2af0, 0xc60ec964, 0xcb9f7009, 0x1fd9e298, 0xab398648, 0xea815630, 0x5098f560, 0x8f830fb4,
+    0x8230eb1b, 0x978a90fa, 0xeb91a370, 0xbbb10e0e, 0x76f3828e, 0x937d40dc, 0xe3900dcb, 0xfe107d58,
+    0x8e5e08ea, 0xf32b7b48, 0x0aa5a867, 0xf6b24993, 0x6c9b9bce, 0x23521099, 0xc2abb2fe, 0xb2d1235f,
+    0x41965a86, 0xac459e31, 0x1d9ba54e, 0x5000da14, 0xb5ae075a, 0x745406b5, 0x53acd3ba, 0xf0c527ec,
+    0x30759eca, 0xebdcee31, 0x87284874, 0xe7fa7068, 0xd8a9035b, 0x89be98fc, 0x77d5d823, 0x88b5f181,
+    0x880acf16, 0x96cac6bc, 0xe0565315, 0x6343dab1, 0xb9977034, 0xbe795bdf, 0xa84c06fa, 0x9452da7e,
+    0x3ffc3f4b, 0x3d41f3ef, 0x743aee38, 0xd6526185, 0x0526b610, 0xc8b9993a, 0xa7b26d76, 0x3ff600d4,
+    0xac7d37db, 0x50fcfd50, 0x72ac8dc2, 0x2da6d516, 0x065128d8, 0xf2c84ed1, 0x7ef521b0, 0x06cd9cfe,
+    0xec3b8dcd, 0x0ccac601, 0x1d4a326e, 0xca62525a, 0xbda695e3, 0xfbf5c47a, 0xaff4bda5, 0x52431926,
+    0xf67d42ed, 0x72e902e3, 0x93a4633c, 0x3917db91, 0x9f9f450e, 0x6fe3213a, 0x17113f47, 0xc3cf5114,
+    0xb57dc20e, 0x176b3fe3, 0xde88f835, 0x9a197f87, 0x6b2055e7, 0x0b29a250, 0xeea53046, 0xa76f99c4,
+    0xc6ad0e5b, 0x19d53c9d, 0x6efe7345, 0xaa1e0e0d, 0x0cc86e3d, 0x1bf75919, 0x830abe97, 0x1f26213c,
+    0xb06d9812, 0x0934152c, 0x194ff7d8, 0x1d491443, 0xd77f0f06, 0xf2412810, 0xf01a399d, 0x0547c5ec,
+    0xbf788077, 0x22650d48, 0xc06e1adf, 0x1b9021ad, 0x47dc39ad, 0x31aa8a1e, 0xf9dfd9d8, 0xc7aae122,
+    0x98896fc1, 0x31a1b5ea, 0xf3434c7d, 0xe3bfce26, 0x463e84d0, 0x17366f1e, 0xdba89b5d, 0x0492c84a,
+    0x7cd34645, 0xbe8243ac, 0x8aba5adc, 0x1de027ab, 0x39195967, 0x4e2e1635, 0xd6fa64fb, 0x7efb94d8,
+    0x74015a9c, 0x1a6e0c7f, 0x5e43acf3, 0x729253da, 0x0c246017, 0x6b8edc4b, 0xda3e344d, 0x3bb644f0,
+    0x05b3719f, 0xf42060c8, 0x74a05741, 0x34dee84a, 0xc666ebc2, 0x58b5b25d, 0x52a1ff11, 0xfac52b51,
+    0xf015db28, 0xdebc45e2, 0x8fbd411d, 0x37aa103d, 0x7d46d270, 0x924a0685, 0x18654f06, 0x319e148d,
+    0xec46a12e, 0x1e547a2f, 0x25de4287, 0xf58f16a4, 0xef2494a0, 0xfd7d7f90, 0xd6ac7aa9, 0xc3ba9dd7,
+    0x88f47ec8, 0xa9adc957, 0xcccbf542, 0xa6fa4bd4, 0xc3c9e12b, 0x6d37c705, 0x44523205, 0xd23eb112,
+    0xb51fc076, 0xd21b1e67, 0xda4e6b2b, 0xf2b3738a, 0x13d9fa8a, 0x34a66c15, 0x49689de2, 0xf3e4d52d,
+    0xbb950eee, 0xc9c60d58, 0x877854ec, 0x8819ae0f, 0x7e30642a, 0xb867e240, 0x0e64e309, 0xc8f4dd17,
+    0x845f51e2, 0x8295dd01, 0x2cf7a800, 0x38cdf63e, 0x75781a12, 0x54576dbe, 0xfe198468, 0x07047f1c,
+    0x93105762, 0xd2ac9106, 0xf9ad07bc, 0xe8889296, 0x72353e64, 0x10323259, 0xbec1a91c, 0x39654b56,
+    0x5c544e35, 0xaa07d45f, 0x14f2b11e, 0x77ab1245, 0xcd7c0863, 0x185f176b, 0x4fa9a7e6, 0x8a593299,
+    0x5a19d47c, 0x8e7e814b, 0xf4f1ed6b, 0xf71ff56d, 0x1ae958ec, 0xdca243d8, 0xe468178e, 0x258c9f1d,
+    0x26f0ad6e, 0xada76f85, 0xf632d6b7, 0xb8b90d3c, 0xaa092c82, 0xa3e82dcd, 0x109314d6, 0x9fcfdca0,
+    0x4ae1dfcf, 0x6a1b9fa1, 0xf5e3d858, 0xe9e6d7fd, 0xbeeb7605, 0xe3b7ad07, 0x0f19ae0f, 0x491c5b47,
+    0x722cc789, 0x62b3dc14, 0xadf5ad38, 0x7678e69b, 0x8869a479, 0x3ac6a6ba, 0x5cbc7a2f, 0x3257eb92,
+    0x94c22219, 0x5ac9f473, 0xdb1210ce, 0x0396f089, 0x324d5317, 0x0c6dd5f9, 0x687f2449, 0x66915ca7,
+    0x7b38f2e4, 0xb08d5170, 0x819745e8, 0xee69b1fd, 0x47d9e01c, 0x27e51017, 0x99ece4b7, 0xbbbfb0c6,
+    0xbcec220a, 0x44b620d0, 0x343bc47f, 0x273f1f03, 0xff188f48, 0x1fdd60e3, 0xddd6c87e, 0x99c5fddc,
+    0xe27e22cf, 0xe7d549e9, 0xaf4ca63e, 0x7b7cb645, 0x1847c884, 0xa8096c17, 0x2b42070b, 0xee5b3934,
+    0x7d46bdfa, 0x19ef2b0c, 0xf48b2530, 0x91b59f52, 0x0cc33a97, 0x6f6ffcce, 0x48eb13e3, 0x3e73138d,
+    0x11f6ab6a, 0x50772844, 0x3bf72e31, 0xd579cf2c, 0x60545492, 0x0cfc4bac, 0xf428de29, 0x76406767,
+    0x86915de8, 0x2d27f5b0, 0x25b572e4, 0x7988127e, 0x8421704e, 0x2b9b16b9, 0x5c89e25d, 0x8605964a,
+    0x106d9a79, 0xa6802ee6, 0xbf62e762, 0x250335e2, 0x026a9b4d, 0xa5e9ae8c, 0x9d4ee3d7, 0x9e0c99cc,
+    0x9fb9e4da, 0x95658cd8, 0x5f2792dc, 0x8c32aed6, 0x5b320d19, 0xdcc5f542, 0xdbab211a, 0x3815359c,
+    0xf6b048fa, 0x6c0bc1c1, 0xb8e3486b, 0xa7f9607b, 0xf9e3df52, 0xc467cc35, 0xfba96d16, 0x9366e516,
+    0xe1683839, 0xbb9d0258, 0xc4524118, 0x67e28f31, 0x6f96088b, 0xc7a0e0e4, 0x532f4c8a, 0x682e72d5,
+    0xde1ba400, 0xdf536f99, 0xa1601acc, 0xe143dff1, 0x3c60862c, 0xa2b8cd5f, 0x3a815c52, 0x7b701421,
+    0x5c28df0d, 0xb58e7068, 0xd615d1af, 0xe2d85249, 0x1803070d, 0x7c8e79ed, 0xfbc4e372, 0x60c50c4e,
+    0x3a3541e1, 0x615bb86c, 0xfb1e8b7b, 0x97c7cc66, 0x255cd98f, 0x856b0198, 0x7b7f646a, 0x0727d739,
+    0x64eab2ec, 0x8855d849, 0x6281e237, 0x61e962eb, 0xd560d2e8, 0x1dc3d758, 0x0c20cdfe, 0x72a450ed,
+    0x801cda2e, 0x294d7b14, 0x786f7f25, 0x377e52b7, 0x67994af2, 0x918cdb26, 0xf872bcc7, 0xa17e507a,
+    0x4049ad5c, 0xf6d9c57f, 0x33def9a9, 0x89ba0d4f, 0x11182d9e, 0x514e5b97, 0xf8c23d9f, 0x327291e3,
+    0xd571917f, 0xa6607d48, 0x88834f38, 0xae60b10d, 0x39b42223, 0xfd138a76, 0xb074871f, 0x05874fa7,
+    0xe13c3e73, 0x6d814347, 0x45493cec, 0x9deae57e, 0xc9b9de26, 0xa39fb06b, 0x80280bd8, 0x4d573b4d,
+    0x2c145628, 0x26755f2a, 0xe20b9a6c, 0x1ff54c4e, 0x61c675b7, 0xa6635c30, 0x32ebd87f, 0xf8f1f53c,
+    0x95474965, 0x77d9afcd, 0xc0387f91, 0x8dcd34a8, 0x038cdbd3, 0x18dc0b94, 0xd36afed5, 0x96d083cb,
+    0x11138a2b, 0x3f5d8329, 0x5ea316db, 0xbe38989d, 0x5faeb13e, 0x0df9c1ae, 0x3b8fa5be, 0x1cd112a0,
+    0x0638858c, 0x085c0c09, 0x532443bc, 0xbeb67b73, 0x6dde9920, 0x21b9d720, 0xdb3ed224, 0x6eac648c,
+    0x3d8846d9, 0xafb52bd8, 0x7f3bcc3a, 0x94d18444, 0x78de25ed, 0xfbd2af1a, 0xc6ee6b43, 0x867c7549,
+    0x6b4b95d6, 0x6e32ebbc, 0x3e35ce4e, 0x059394c6, 0xa059f58d, 0x15623cfb, 0xcfa417c8, 0x544c34b5,
+    0x99366bc2, 0x414794a6, 0x6bf56cde, 0xce5a3fe1, 0x4ad9e109, 0xbcc41b9d, 0x60eb8931, 0x20b16539,
+    0x4c77d6db, 0x689a9666, 0x62a10d8a, 0xedd1880c, 0xcb710711, 0x4852b4e6, 0xe8ff6305, 0xacf69b5a,
+    0x51c99545, 0x59f51e8e, 0xbf2bfa35, 0xb1a01227, 0x7b9f4d2d, 0x8aafb9d8, 0x8e8ff3b6, 0x8dfe1440,
+    0x750d930a, 0xce5a85c3, 0x0922db18, 0x3649de3a, 0x825c9b56, 0x5ae929a8, 0x9e0d1e5c, 0x0660625f,
+    0x46285739, 0xa78dd05f, 0x67526af6, 0xbcb65873, 0x8d0276dc, 0x6acdbfad, 0x614c1293, 0x365d0740,
+    0x7e6af3ec, 0x883fb15e, 0x78aa172e, 0x377bb8c6, 0x2a45901c, 0x5af6415f, 0x6ab32f22, 0x5d5b895d,
+    0x9b7ef381, 0x7110fb5c, 0x03908beb, 0xff4f7b75, 0xe42326be, 0x569d1230, 0xe2b3bd4a, 0x40242f46,
+    0xc20f61e2, 0xb2fdd022, 0x8800a48d, 0xce8156a1, 0xd6fdc510, 0x2d7bb851, 0x6abbf4cf, 0x3e62eb7b,
+    0x4ad6839a, 0xb4af0b8e, 0x76fb5531, 0x02bc3a53, 0x10ae7ddd, 0x96820df3, 0x1e853f44, 0x5b68c833,
+    0x9013660f, 0x0066ceca, 0x3d0d1a1b, 0x5a6c40f1, 0xada0d975, 0x3396b4cb, 0x0aa686dd, 0x469080d8,
+    0xd7ab876f, 0x667d8298, 0x18232072, 0x9f117efd, 0x1b7f9294, 0xe80b6fc9, 0x12991fea, 0xebb9a8be,
+    0xb6a2112c, 0x4493e0de, 0x8954dda1, 0x0db00eb1, 0x39a915a0, 0xce434594, 0x98f1e4f2, 0x056eec01,
+    0xdfe63f9e, 0x2693a7f2, 0x0f298ccc, 0xdc177d27, 0x5cf7e2b0, 0x30349fbc, 0x719677cc, 0x1b450857,
+    0x1432473f, 0x6133c033, 0x6090ddfc, 0xe0178e14, 0x18f7f644, 0x68166810, 0xaf1dbaf0, 0xbd922ae8,
+    0xb6a3eec7, 0x46479b0f, 0x7cc43fcb, 0xbe65d5ae, 0x6f8ec27c, 0xa93b1bc1, 0x33bb7c87, 0x35543f61,
+    0xf6cfff8e, 0x80ea9a56, 0xf40535ea, 0xaea0a116, 0x6f298daa, 0x61fa0363, 0x1b753e46, 0x7a7e9c35,
+    0x23e7f6ea, 0xcf1f740f, 0xd805c469, 0xe938a642, 0x5b0dcf12, 0x02cecd48, 0x60e447c2, 0xc535486b,
+    0x6ff41cf0, 0x927a5dda, 0xb3d14b90, 0x16776546, 0x281c6d05, 0xb9874815, 0x279ea202, 0x5e0a3ca2,
+    0x6332f974, 0xc6ff60ad, 0x205b0db1, 0xa560a5b7, 0x5c5a1da7, 0xb4875796, 0xa9aa3e61, 0xdbecffc4,
+    0xe6cc78c5, 0x9314e2de, 0x4e78fed9, 0x5dc27fc5, 0xe520dc0f, 0x2cfc7bf0, 0xd766fffd, 0xd09c2838,
+    0x3bd96863, 0x9c372428, 0x3e2987dd, 0x503fc1d5, 0xd01ce76c, 0xf1c8558b, 0xcf9b2445, 0x1a2f4d65,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000002535301200456458802993406410752 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf92, 0x4afdbfd2,
+    0x00000000,
+    0xab75f73c, 0x671bb002, 0x3d3b09d3, 0xfd586240, 0x844adeac, 0x20edae88, 0x05bd9d4a, 0x0083d6c9,
+    0xf911f24b, 0xc7e7364b, 0xa3bf40ec, 0xa9d5a78a, 0x80e5b08b, 0xcbc62461, 0xf94311d4, 0x1bdba315,
+    0xc14d6516, 0x2735450f, 0x96cafedf, 0x99949a0d, 0x48388fb3, 0x6305c528, 0xbf99688b, 0xa9585d5e,
+    0x9f4d1cba, 0x9b2359eb, 0xfb0a551f, 0x19513b86, 0x37685540, 0x93bccf9d, 0x6539d8b7, 0x26ab1004,
+    0xc208d0cf, 0x2f64b961, 0x9a5777ff, 0x455d790b, 0x28b4e403, 0x5c08841b, 0x24b45c4d, 0x9a7aa7f1,
+    0xb955e2d5, 0xee2f9186, 0x2d4d4991, 0xf1150d99, 0x0c32c70b, 0xec423fe2, 0x009c0b0a, 0x4ef23c55,
+    0x96869b8a, 0xf99df2e6, 0xb0a846cf, 0x34782f0b, 0x346cc4a9, 0xee5b26e1, 0x9d7dacb6, 0x5964efb4,
+    0x5cacaa3b, 0x7d0aecc9, 0xe9e8b89a, 0x6fc2b775, 0xdb5999b0, 0x0082ff63, 0x0c1a6c49, 0x007da553,
+    0x3b392c40, 0x95ab0297, 0xffea8da8, 0xce67b707, 0xa6c4c290, 0xeea50c86, 0x34bb5710, 0x39483667,
+    0x8300bb18, 0x44eca521, 0xdbb216e5, 0x2b485576, 0x3c750c9a, 0x52706bb4, 0x1344dbfa, 0x6be938c8,
+    0xc3533c8a, 0x1bb170d8, 0xe7e5103b, 0x4c515110, 0xb880f90f, 0xb12d6659, 0x6a678874, 0x33271c1e,
+    0xfc857dcc, 0xf7d867b6, 0x9524230b, 0xae6412f0, 0x2caef0ac, 0xf92b48a0, 0x898830b4, 0x7e58a8c2,
+    0x5f860fad, 0xc02cf60d, 0x4fd1413d, 0xeab446c4, 0xc4ea3f64, 0x31472cb4, 0xca2cadb6, 0x88ee84be,
+    0x08afc6e3, 0x8e3dfcda, 0xbdded39f, 0x125eeff5, 0x5db48638, 0xa68fe86c, 0x176c3160, 0x3f228a44,
+    0x0fbe1af3, 0x87b34a8b, 0x117acc25, 0x0894a1da, 0x8448520e, 0xe17d30c7, 0xc8f21a2a, 0xcfd9bfd1,
+    0xf9a7313c, 0x044125d0, 0xd470d9d7, 0x0cf88809, 0x18988b70, 0x9c4bf077, 0xca1c0447, 0x60aad124,
+    0xc7040193, 0x3bcaba87, 0xc8de7548, 0xa9bc67bb, 0x1175fe63, 0x083c7d99, 0xa4a08d7a, 0xd1c4a00c,
+    0x40810663, 0xd0f686d0, 0xfbfd7e11, 0xbe4c2e00, 0x71a54049, 0x405df0da, 0xa78f461a, 0x6667ac96,
+    0x1111b380, 0x8448e2ce, 0x81e4ed2c, 0xa5bc9581, 0x1b98f940, 0xfd9dc396, 0x85497e94, 0x22c6f87e,
+    0x50ce2c7e, 0xa25a3b1a, 0xdfb6e7f7, 0x25f2bf07, 0x88b56e36, 0x786709ae, 0x73c9eec0, 0x3cf90402,
+    0x358c1985, 0x3267db80, 0x74943e14, 0xebee6763, 0xce0e8e65, 0x68679655, 0x199e0148, 0xe890761e,
+    0x3b4e68aa, 0x49a4e104, 0xfa381b4f, 0x28d1bc89, 0x068f08b7, 0xbeaa7374, 0xf549f679, 0x646235e1,
+    0x56f4bb72, 0xf9c3a9e9, 0x1db24708, 0x4a66b2a1, 0x27e4b103, 0xb3eb50f0, 0xb9c0a34b, 0x1bf30f77,
+    0x10e94609, 0x88d7c25f, 0x5f5c2a21, 0xccaf885e, 0xe8026180, 0x9b15770a, 0x26d73cc1, 0x2f96ee6d,
+    0x309cc371, 0x1c2e4b82, 0xc9df660f, 0x0c769720, 0x522ac2d5, 0x1d991910, 0xf7543c25, 0xf1c8b851,
+    0xa1007d57, 0xd0d2dc55, 0xc6d5acd4, 0xfd935c12, 0x0147e132, 0xf1d7eb83, 0x6604f2e1, 0x6f24e84c,
+    0xc58ba802, 0x3680fc17, 0x657045a0, 0x6a494b30, 0x78da2bd4, 0x576a17f8, 0x3d3d671d, 0x4a98cdfc,
+    0xe1282aaa, 0x97520f9c, 0x7ee7df98, 0x89c22bd3, 0x70fc3d35, 0x14be11f2, 0x7d07b16a, 0x793040be,
+    0x6baa5cf6, 0x249873f8, 0x2f5ebd0c, 0xc23e2832, 0xecca5b39, 0xd8854192, 0x0f3d4a7a, 0x09baf0b0,
+    0x8abf22d0, 0xd1b35701, 0x6de0b5ca, 0xe9c86201, 0x25601c28, 0xa0393657, 0xb98f618d, 0x4bd8bc97,
+    0x94e2057a, 0xa35f6ba2, 0x5ea00d87, 0x6b58987a, 0x41035de9, 0x28e3bef7, 0xf29cc225, 0x2023f862,
+    0xed3be64f, 0xa4433db0, 0x5e899127, 0xa8b16759, 0x01925567, 0x5be53690, 0xf91a78e3, 0xd6c48c68,
+    0xf485d8c5, 0x717fbbf5, 0x26ee592f, 0xf40e5bf6, 0xd3b63099, 0x56d462cf, 0x3b1336e0, 0xe6b71393,
+    0x554c7e5d, 0xad41f915, 0x97a4aa95, 0x52c43e11, 0xd2fd3c2b, 0xad7aa979, 0xad16b448, 0xad19b9b2,
+    0x902e27f3, 0x9ef7effc, 0x1adfd75f, 0xa66ec91f, 0xd3d36980, 0xbd88e2dd, 0x8a8e7e5c, 0xac4e7e20,
+    0x5ee47b11, 0xdf8ade14, 0x945a8829, 0x4f700a59, 0xa7add9c7, 0x300709e7, 0x34adb34e, 0x85abbdf4,
+    0x04b6df35, 0x22640d06, 0x9b5412cc, 0xbca9a264, 0xcae2e9ec, 0x7f6ad6b3, 0x0a41643e, 0xf9758107,
+    0x3ca795b0, 0xca7d60f7, 0x5f355197, 0x76615640, 0x387d383b, 0x848c9bd1, 0x24b38873, 0x3a040fcc,
+    0x70627dde, 0xdab2eda0, 0x5b26bbc3, 0x74792f45, 0x617c04c5, 0x0f7a92e4, 0xe1add69e, 0x0954519a,
+    0xe7218bc8, 0x128e5381, 0xfc69982a, 0x5c33c5be, 0x49bfd9cd, 0x35417f67, 0xb638eaf2, 0xe02f6035,
+    0x9be017a1, 0xeee99ad0, 0xd80bf240, 0xba2f554f, 0xb24117bc, 0x757ee262, 0x1dd2adc6, 0xc40b5f29,
+    0xef6bce7f, 0x8a18096f, 0x7cdb899b, 0x1f260c1e, 0x7f82492c, 0xfde3014b, 0x1eae444a, 0xc2e1adb9,
+    0x38bcfbd7, 0xe6ab2b41, 0xdbf30a0d, 0x35775d63, 0x4c7448ac, 0x4d6286ed, 0xa13e6a5f, 0x6ac7cd5a,
+    0xfad4540b, 0xb85ec04d, 0x5fc74728, 0x9b4f662f, 0xeb0c47c0, 0xe55c7566, 0x04df1d64, 0xdb45965e,
+    0xfd88e06f, 0x7f761480, 0xdd06f7da, 0xccc9afde, 0x00d62422, 0x457c02f4, 0x045ad087, 0xe63377dd,
+    0x5f48f5b1, 0x5850d454, 0x566d7f60, 0xc9d61b34, 0xdbce551d, 0xf3beb404, 0xefdfc557, 0x657f6603,
+    0x2dea253e, 0x588c20fa, 0x4fa141b3, 0x3b5c4009, 0xa0976f21, 0x1b8723a6, 0x9262320c, 0x6c6cc60b,
+    0xe97fe2e1, 0x8e02a7d3, 0x66e74014, 0xd8c7b632, 0x8debbeff, 0xef779c1c, 0x5c50a0e1, 0xfc4ae823,
+    0x9724e029, 0x666807b4, 0xf5304de1, 0xd76c50ff, 0x384ff688, 0x45e1b4bc, 0xfac711f6, 0xc86473bb,
+    0xc91791c5, 0x8551a3af, 0xcde29c40, 0x43648c80, 0x9fb955aa, 0xe99e8a86, 0x2183375a, 0x24beec92,
+    0x3a8cb655, 0x493d5b9c, 0x011c539f, 0x85ddccba, 0xc859b0a9, 0xd57d12e0, 0x0ebb3df9, 0xee76009c,
+    0x2b7a48a6, 0x0943b1f8, 0x0b3195a2, 0x39f2e1e1, 0x2a14ef49, 0x4adda1e9, 0xfd9c2837, 0x1dc95ea5,
+    0x3d959295, 0x70073358, 0x3b391c50, 0x34577f67, 0x9af48018, 0xe902b5c2, 0x3663c633, 0xde36e83d,
+    0x513b1206, 0x0975fd2b, 0x1b9b296a, 0x2223827b, 0xaa6f356c, 0x3947d981, 0xf6395667, 0x44533f85,
+    0xfc83a854, 0x8059bb60, 0xae382bd5, 0xd93061d9, 0xc29e192a, 0x7b3d9b9a, 0xd99a1cbc, 0x3d2a1d23,
+    0x3979dc82, 0x834cbd1d, 0x9d673e77, 0x489678b9, 0x614d4798, 0x84c2af0d, 0xd9e82131, 0x9e7b0710,
+    0x62708a56, 0xa2a22963, 0x78f422d8, 0xe2b512f3, 0x0e6fc8f5, 0xb05b0c75, 0x1bca835e, 0x33336717,
+    0x53d03c06, 0x33215a6d, 0x9c3fb8dc, 0x373d1d98, 0x0562016e, 0xfc5f1b09, 0xf77f3f8c, 0xf53dd596,
+    0x3f2539bc, 0x4d64c9ed, 0x55a08aa6, 0xf6642d91, 0xc089e075, 0x4c9d0ffd, 0x05ee265e, 0x108fc297,
+    0xd44e5ef9, 0xc572aa1b, 0xce4a1973, 0x88662857, 0xfef0a885, 0x80389119, 0x6202f826, 0xfc295518,
+    0x6405fba6, 0xbd7fb728, 0x7f72a46d, 0x74f06123, 0x0245af13, 0xca711b32, 0x61a30280, 0xdd6f78fe,
+    0x4cfd98a1, 0xc22ca200, 0x25893590, 0x2e8a3055, 0xf0aede8a, 0x7b7891b0, 0xbb351bd3, 0xa8fd590b,
+    0x24520860, 0x3f469aca, 0x40b7e173, 0x53e456b8, 0x69e393d9, 0x32abf082, 0xd4cb6170, 0xbe0ba2f5,
+    0x84b62d8b, 0x5208c713, 0xe8d15da9, 0x51268aa9, 0x1be1587f, 0xd17ff3bd, 0x936c21c0, 0xd7fda4bc,
+    0x12e0236c, 0xe3a40c82, 0xec190a3d, 0xbde586d9, 0x22c1bdf7, 0xf002f47d, 0x294e987a, 0x7f9e7375,
+    0xd6a87de5, 0x72db02ea, 0x7fea4205, 0xb7f01a51, 0xe58dad8b, 0x58b5d790, 0xf99816d7, 0x736c7df0,
+    0x673bca55, 0xcbf6bb70, 0xfefca4f5, 0xfe1cc26b, 0x43a393d1, 0x85605128, 0x81cc09e3, 0xead8d49f,
+    0x8ef14ca3, 0x33a8820a, 0xf095c1fc, 0x9b57a4a9, 0x969889b3, 0x9a9b76b9, 0x35528e59, 0xe1beff12,
+    0xe09072fe, 0xf7d11750, 0xed1edd25, 0xeb5803ad, 0x9a04c6dc, 0x2c20fd3b, 0x825ec77e, 0x55d98206,
+    0xc1ac1ba4, 0x9aa43083, 0x8300764e, 0x80b6959c, 0x432c67c0, 0xadd5cd40, 0x9fcb9e7e, 0x24bff7c7,
+    0xe23b79fd, 0x9e7410d3, 0x5758438d, 0x9df04471, 0x8457b0e4, 0x88b6998e, 0x4f427225, 0xbc9fd02b,
+    0xe9b56eff, 0x7fab4e82, 0x0e2fa039, 0x8fd5a114, 0xd9ddff0e, 0x493e43cf, 0x069445c2, 0x333227ca,
+    0x355ae019, 0x28cce2ff, 0x89a71be4, 0xf95857d7, 0xce0321f3, 0xc27136d0, 0xcbbe4650, 0xca7ed7a6,
+    0xf663f91b, 0x93c82f0b, 0x1a1ac4b4, 0x0aaa66ec, 0xe4115149, 0x93ab8eb8, 0x796c3c3d, 0x97e0b23d,
+    0x2c7ac321, 0x3eeb4216, 0xf7b36487, 0x08a289c1, 0x26cd4fae, 0xf5256ef1, 0x8fd972b9, 0x7d8afbee,
+    0x78b926e0, 0x6e7fcda7, 0xe2f4c053, 0xb2654e40, 0xe8688902, 0x34f37c2b, 0x18a24003, 0x242f995e,
+    0x6e909a9b, 0x3d7ceae6, 0xae2138c5, 0xba47cd2c, 0x62f5df95, 0x5e948f2e, 0xc6124e45, 0xe86c813a,
+    0x99fcb94f, 0xe1aa3496, 0x678b0bc3, 0xb9821262, 0x3d6abb87, 0x2e91a391, 0x42416517, 0x9839f6e0,
+    0x684caf61, 0x3975e2cd, 0xe3f1ec38, 0x93345f58, 0x975e8b3f, 0xf4362d1d, 0x333d7679, 0x767ce939,
+    0x3817a9a7, 0x267a9fc4, 0x8a5c387e, 0xe897c322, 0x16ca0451, 0xe1778800, 0x715fb648, 0xc54dbf46,
+    0xef3053e5, 0xcf5a0897, 0x332fd5ef, 0xea5cb4df, 0xd39f0845, 0xed8eb199, 0xdcd3bea8, 0x678d675f,
+    0xb4aea18a, 0xf5e9d531, 0x6370296f, 0x25727a46, 0x26cbc303, 0xa394b9cb, 0x03a31bd7, 0x0303391b,
+    0x4dcf5192, 0xd478e184, 0x33f8cf1f, 0x9d214d2a, 0x90ab5261, 0x5ed968ff, 0xab19a251, 0x89f18d85,
+    0xe9208922, 0xcdf6157e, 0xc4d125e5, 0x1a149d05, 0x6368716a, 0x29892a17, 0x442653b4, 0xa35ec88e,
+    0xad707391, 0x44e5776b, 0x25cd8f3d, 0x8a335d5c, 0x3f2b035a, 0x88fbae57, 0xf6506015, 0xfdfb5384,
+    0x35dafb17, 0x387001ba, 0x9fea1195, 0xc73abeba, 0x2e8e6177, 0xa0030c89, 0x93ea8867, 0x777e9c8a,
+    0x6ddb6d4f, 0xc9380b3b, 0x89eb2d9f, 0x043a9366, 0x07765717, 0x675163cb, 0xfe39527e, 0x8d7d8852,
+    0x41923b70, 0x99c866c9, 0xd8a1f057, 0xd48b154c, 0x819e188b, 0x0a31844c, 0xc4f02034, 0x2862cf85,
+    0x65e0f2fd, 0x9eb698f6, 0x6020d826, 0xd9cb15e0, 0x96c07e22, 0xb71282c3, 0xd74ac54e, 0x6b3bf3b7,
+    0x18010aa8, 0x54344a7b, 0x942dca86, 0x91908ce5, 0x12779c5e, 0xc1054c23, 0x142ab1a1, 0x7bc63709,
+    0x71312180, 0xe110cb85, 0x84a51341, 0x11ee536e, 0x1c16df74, 0xb393ccb7, 0xae945917, 0x7f036793,
+    0x04bce72e, 0x9bfbfd46, 0x9c8ddce4, 0x1e053efe, 0x43f80b3a, 0x83d9bc26, 0x29f9220a, 0xfb23affa,
+    0x76f4c442, 0x1bd9de71, 0x9c0e289f, 0x8b57f508, 0xc8f90bbb, 0xb0b05f82, 0xd0a001a2, 0x24aa4f20,
+    0x4125369f, 0x297296b4, 0xfe1e7639, 0xe9398a13, 0xaf15d7fc, 0x4a771b54, 0x1086d9ab, 0x4e1c911e,
+    0x8665615c, 0x91a3c391, 0x86a755c9, 0x6737fe53, 0x03343229, 0x6c33d367, 0x7692650a, 0xea7654e0,
+    0xb1248dfd, 0xccd8801a, 0xf3681620, 0x599d2032, 0xef485151, 0x24ee5079, 0x123e8e88, 0xdc366391,
+    0xa57f6318, 0x81d7d47a, 0x7413b45c, 0x56bc138a, 0x3b095042, 0xdf5b3635, 0x55c359a2, 0x08244d11,
+    0x4a525a97, 0x6f167983, 0x402e488b, 0x7ad6d60d, 0xdcef993c, 0x62337b3b, 0x8f04365b, 0xc67af506,
+    0xd28e1a43, 0x110cd013, 0xa49b698d, 0x3d9b608a, 0xb0697043, 0x39040378, 0x88c5be92, 0xeb13e357,
+    0x3d398e24, 0xdc5a66c8, 0x1fe1f1cc, 0xbd0cf87f, 0x08ea0062, 0xbd9e228e, 0x4707446c, 0x4cac537b,
+    0x93a8a6f2, 0x3b033e7e, 0x79e2f65b, 0xe4e5ebe5, 0xc27e838c, 0x7759af4c, 0x4311a165, 0x67f3ecc5,
+    0x57d2f724, 0x46e6a699, 0x7cd0e898, 0xbdfbed56, 0xeec770a2, 0xb7718df1, 0x54e23c42, 0x633daf9c,
+    0x1f287caa, 0x75ee74a3, 0xba2710a0, 0xa8bfc622, 0x33039f95, 0xb897d954, 0x084dd9bf, 0xdbb0b266,
+    0x16b5d317, 0xbb1de112, 0xa37bc8a0, 0x94fd26a6, 0xd6d63420, 0x0b7aecd2, 0xf7c0ffef, 0x8db9db3f,
+    0xbca1e00e, 0xf007790a, 0xbd24559c, 0x778c981f, 0x6637c77a, 0xdd6d0572, 0x5fd5c6ec, 0x58c5355d,
+    0xe775fa28, 0x9852a525, 0xb31c68ac, 0x9d0e0137, 0xdcd83cb7, 0x1ebc9014, 0x5e4265e2, 0x375edadd,
+    0x8d08510d, 0xb6e8b391, 0x5cccc952, 0xc7f24641, 0x78774ced, 0x10aef0f8, 0x5727266c, 0xccbfb1c0,
+    0x1d50b1d6, 0x3bdb29fb, 0xccdfbd63, 0xab8b5f82, 0x36ed694a, 0x0b3b80d7, 0x0025e166, 0x261f7544,
+    0x4c7bc6c4, 0x5b18050c, 0x62b4a59c, 0xc9d5e3cb, 0xb89cc18f, 0xbded1cab, 0xbc6dd4b0, 0xc7123b53,
+    0x475466b3, 0x12b1caf6, 0xefb5e28e, 0xe99aa10c, 0x2de309df, 0x58eacc04, 0x550f7df0, 0x4053e845,
+    0xa9866b8f, 0x35f73808, 0x9e03d9ec, 0x501d7017, 0xce29e0d3, 0x08b1bcc8, 0x10bff7ff, 0xd6b85e0c,
+    0x835d7e4e, 0x3a54d09c, 0xd96eb72a, 0x000203d1, 0x24eb237f, 0x9b85d91e, 0x2d553ffd, 0x116a60f9,
+    0x77d4a877, 0x529caf26, 0xc25dd0a1, 0xedac9ca7, 0x5d8a70f0, 0x8791fa75, 0x72e44fd6, 0x6a7167ac,
+    0xb919cb15, 0xa8cf82b3, 0x057ad1d3, 0x760f1b46, 0x36d497c8, 0x0bfec2cb, 0x90b4618e, 0x4281209d,
+    0xd4f88089, 0x9ff69d56, 0x245c4d1c, 0x4b3d4635, 0x07bb573d, 0x88b49669, 0x5da388e9, 0x95de4b81,
+    0x2c3e6b23, 0xe91c3c86, 0x35b653cf, 0xb45cee5b, 0xcdfab42b, 0xb382d401, 0x40f94d60, 0xe63640b6,
+    0x0895e0f5, 0xcd98a299, 0xca66b85e, 0x4ec59689, 0xcc5a0142, 0x9146e3af, 0xfb4e9a07, 0xb4bd9908,
+    0xdb454f0c, 0xfb0a404e, 0xd5727316, 0x60b42daa, 0xbbf50b06, 0x0d59bcc3, 0x4f626c10, 0x46b815cb,
+    0x0e014e99, 0x1ecfd3ff, 0xc49cd4af, 0x0e6be61d, 0x0c80e3ca, 0x2d353411, 0xdc92c9bc, 0x024fde13,
+    0xea83840e, 0x02936c70, 0x4e01fc8c, 0x4edabd8e, 0x4690ffa2, 0x7abde441, 0xa2cd28cf, 0x1fd3a261,
+    0xeba7708e, 0x2e30d62e, 0xef51b7ff, 0x1d3dc36f, 0xed792820, 0x50c38f56, 0xff2098e5, 0xd5b5b554,
+    0xb76ad8aa, 0xf2bae4de, 0x030e6e78, 0x5f4cd9ca, 0x3557c0da, 0x68ea1e38, 0x2446e5b6, 0xd4cbb224,
+    0x5a1f7a6e, 0x31b4c869, 0xf30865ee, 0xbb8acabb, 0x3ea2284f, 0xf33d8f8e, 0x5eacd7bc, 0xeb833f55,
+    0xb9803fd3, 0x46f7fdf7, 0x5fa5f83f, 0x870c1441, 0x796e153d, 0x0ca3eada, 0x32c4906f, 0x9007fb87,
+    0x7f929d2e, 0x12b734a6, 0xf6870b6b, 0x87fbc5c0, 0xe16e99a1, 0xd2c7863c, 0x0970d8f6, 0x13b8eb82,
+    0xa281fbe7, 0x19711041, 0x13071efe, 0x2c29648c, 0x0bd2f066, 0xecaa6e25, 0x33101adb, 0xb197d7ff,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000001267650600228229401496703205376 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc9, 0x257edfe8,
+    0x00000000,
+    0xd182452c, 0x247e0a3c, 0xd5fc2514, 0x9d8f64ec, 0x21342cbd, 0x3f79d46c, 0xe50967f3, 0x070afdf8,
+    0xce8c0047, 0xca955e5d, 0x387f7edf, 0x1968e576, 0x1214861c, 0xa287e947, 0xd517f1c6, 0x6836b7ba,
+    0xc45ad2f3, 0xe04f2b34, 0x9ee216e0, 0x0eb1eba7, 0x0df361c7, 0xcbf8ba29, 0x6ce681b2, 0xd93e1480,
+    0xf983c03c, 0x7be4a931, 0x0550d13a, 0x7596d1ac, 0x00aa84b2, 0x6600f977, 0x088f0bcd, 0x5ea33c34,
+    0x46b2b1e3, 0x300c5b1f, 0x7e3be6c0, 0x6058ae0c, 0xb96d1dd8, 0xda623366, 0x321b1278, 0x46dacb68,
+    0xbc107168, 0xc79843bf, 0x15189d21, 0x9a424c61, 0x2db67ef8, 0xac338942, 0xb718e330, 0x2c340b9b,
+    0xfbe49f70, 0xcbb10f4f, 0xce0da307, 0x43e711bb, 0x92638e70, 0xf2e56624, 0xc64870a5, 0x8e099f48,
+    0x12a156c3, 0x10e46c37, 0xbf2b0fdf, 0x4193814e, 0xac341347, 0xd62b6312, 0x16187159, 0x387228f3,
+    0x1010086f, 0x6b79d203, 0x6133950c, 0x460faec6, 0x9a2dc8e5, 0x96d63223, 0x7190b70f, 0x7a66f5d0,
+    0x43f4b830, 0xcf50c5c9, 0xa678b82b, 0x0bcd9651, 0xd3354229, 0xafb7bedd, 0x29e5b14e, 0xb00e8a54,
+    0x30ec1f32, 0x4f5beac5, 0xb2ebf666, 0x491ec633, 0x8c01fb5f, 0xfdbf8967, 0x3fe7b890, 0xb22a2005,
+    0xd1c423dd, 0xc4e87643, 0x7e6c9e5a, 0x2008e844, 0xfe6a9439, 0xf79ba36e, 0x71487257, 0x897cd88a,
+    0x1e467f9b, 0x77fdd5bc, 0x8ebdf969, 0x923ef15d, 0xbe6d89c9, 0x9256b41b, 0x665ae6df, 0xa59283f2,
+    0x291570be, 0xcd9ad8e4, 0x31f7701e, 0x0e86897c, 0xdc989741, 0xa08c4a70, 0x38c6eed1, 0x9bc12ec7,
+    0x85b6c1af, 0x1cb3b135, 0x5c16dcc2, 0x6fd1221b, 0xd53578ac, 0xb17f59c0, 0x964daae0, 0xb079803b,
+    0xffde2787, 0xf95d9df6, 0x0df971df, 0x886e23d7, 0xdc3f361d, 0x64caa9c8, 0x1fe85245, 0x4dfadb85,
+    0xe7640b7f, 0xddda2fdb, 0x67a558af, 0xc2d79898, 0xbd88950a, 0x89ce8526, 0xc2597af3, 0x4052e86d,
+    0xd3cfc74e, 0x4beb0bac, 0xb9da2654, 0xe361b3dd, 0x21056ca3, 0xa82558a3, 0xb629c3b3, 0x3f73d687,
+    0x1f12d80c, 0x384f50b2, 0xe6b37626, 0x50c2c303, 0x32377e07, 0x0a21d696, 0x301aef91, 0x282adf83,
+    0xce7e2584, 0xeb4f5261, 0xc440e396, 0xd41abdb2, 0xb948c9ac, 0xd239de39, 0xbfb6eefb, 0xba78ad44,
+    0x53f5994d, 0x6dcdd143, 0x50fa9b04, 0x4829c3c8, 0x0ee62637, 0x24347901, 0x2fd0ef33, 0xd2694240,
+    0xe210b442, 0x7ce48e0f, 0x58cfabca, 0x69a240e4, 0xc3f803ae, 0x889292d7, 0x729cf6a1, 0x1b010f91,
+    0x54ebe974, 0xfdbea642, 0x61061e98, 0x3cae8da5, 0xbf19f38f, 0x9e410141, 0x871ccde2, 0xab3107aa,
+    0x5b03b488, 0xaf7d3bfa, 0xc52f73b5, 0x8f4e1a8d, 0xcbd732e2, 0x61d1ef74, 0x2a72c52e, 0xc4ab944c,
+    0xa421f3dc, 0x7d53fb20, 0x8ac97b47, 0xae03fee0, 0x6afaa644, 0xd1e168e1, 0x2d365ddb, 0xa7869675,
+    0x2f065490, 0xb70bc2a8, 0xc6e990e2, 0xa242e5be, 0xada7c132, 0xc2d6f32f, 0x332b245b, 0x343e1833,
+    0x93ebc80c, 0x0362ef47, 0x4d42eaf2, 0x4321b263, 0xc3e89cb5, 0xdc179533, 0x1be9691b, 0x1fc753a8,
+    0xb2b3e07b, 0x5ee1de54, 0xdfc25717, 0xd9c6ffbb, 0xfcf231c0, 0xa89cf281, 0x13c1d8db, 0x08ed8b08,
+    0x9be1620b, 0xec115359, 0xf4a3bded, 0x1edf8687, 0x97e0ca51, 0x448b3314, 0x7871793b, 0x8963e009,
+    0x698f989e, 0x46c44354, 0xd5206ce4, 0x0e2ff2a6, 0x6277e22d, 0x4cb5f179, 0x21ac7b3a, 0xbf66435e,
+    0xe00635ba, 0x85f58949, 0xdd7c92f8, 0x03d86539, 0xe17aa593, 0x0a40ccd5, 0xb1d60480, 0x58c4f054,
+    0xf76bb1db, 0xf0e19d57, 0x1a2922b2, 0x2ff04aec, 0x94982eee, 0x6e15bf3b, 0x4c118453, 0x556bc374,
+    0xa351822a, 0xa4b97bff, 0xe41686d3, 0x7e6062cf, 0x4cab0172, 0xab136425, 0x68b8d9db, 0x26aff805,
+    0x3f4e8380, 0x83b297e6, 0xb662b2fd, 0xf5b00ab1, 0x9a2ac4cf, 0x007048c4, 0x3ee57c05, 0x9c218e8c,
+    0x69113cd3, 0x34eb16fb, 0x61ae6726, 0xdab6284a, 0x49af2f6f, 0x19bd1946, 0x98eac06f, 0xdf20faef,
+    0x67743166, 0xbe8cd2b6, 0xf7b256b6, 0x50cb9e1f, 0x46412e96, 0xa0025c14, 0x1e89ffe3, 0xb98be15f,
+    0xbebb219a, 0xb0f7de9a, 0x27b7ab7d, 0x7562ca76, 0x59e819d5, 0xce89a8d2, 0x852e599a, 0x763ae439,
+    0x09ff245f, 0x4a8c2359, 0x17b0152c, 0x001d6d98, 0x7fe62285, 0x70c3e807, 0x07d51273, 0x0c1e89b4,
+    0x2358bfd1, 0x908f0d18, 0x55a2babb, 0x40c8b2a3, 0xf1287e2e, 0xce8fdee1, 0x5df095c2, 0xea15b492,
+    0x4898564d, 0x500e7b15, 0x50785a33, 0x6c3278b9, 0x069f9ffe, 0x62c629ad, 0xa8d29f4a, 0x1830a374,
+    0xa3376057, 0xe85fadde, 0xd3ea4933, 0xc2061bf5, 0x0a06f68c, 0x0c87bc94, 0xf01e2e39, 0x8a96808d,
+    0x68b14681, 0x0675f342, 0xba02ee7f, 0x87a035e0, 0x0d6c9897, 0xb06035e4, 0x7f685248, 0x11f335e0,
+    0x1a4bd640, 0xe2461e35, 0xc783df51, 0xb4bdb66d, 0xc0ead13e, 0x0b57d19d, 0xeffd2599, 0x3c021e3e,
+    0x6a08cb6d, 0x1b4b2766, 0x2cf60837, 0xac1664a3, 0x095e218a, 0x6eae27b3, 0x3b96bf5d, 0xba44553c,
+    0xa403942e, 0x9d6caf13, 0x4cf3f85e, 0x3e482811, 0x62c9d5b9, 0x9a6bc663, 0xc65742dc, 0x9df3f2ec,
+    0x78ae4a07, 0xc8b1079f, 0xc4bd88cf, 0xe9bfc79a, 0x6623bd8d, 0x393bae3d, 0xf839174f, 0xfd2780f4,
+    0x9d696fec, 0x4a519cdb, 0x9be37702, 0x788323e0, 0x84b6027a, 0x71073430, 0x463f920f, 0x9dab68e6,
+    0x0abce940, 0x267ce995, 0x9c18d67c, 0xfcb04999, 0x48c1d569, 0xfeee3ae7, 0x096ffc36, 0xbe980cdb,
+    0x640d5920, 0xa38506ed, 0xb7a5c090, 0x7d410b63, 0x55540997, 0x81489f6c, 0xd5d95ab3, 0xe036f966,
+    0x69696024, 0xb4b435af, 0x3ab05895, 0x4c2ee827, 0x97ffc2a2, 0x18ddec7f, 0x2c30d046, 0x4250eb1f,
+    0xccd085c4, 0x3e5bdad5, 0xeee766a8, 0xbb1efab2, 0x39cc560c, 0xd1e9bba8, 0x3e565c61, 0x16c7d753,
+    0x212b7ebc, 0xe19e7760, 0x620c683d, 0xe88f1628, 0x0fa88225, 0xc27f39d2, 0x4356d562, 0x84383249,
+    0x1ecc0dfa, 0x56bd0c09, 0x5fc4612f, 0xdefd6ac8, 0xafa91e02, 0xc933a07f, 0xf24b68a2, 0x67b24642,
+    0x0df7773f, 0x4bc87954, 0x2a7b60fb, 0x3342292c, 0x9fae7fb1, 0x19bd4435, 0x1447d8b6, 0x40434bec,
+    0xe9660e0d, 0xf0241646, 0x4925bb6f, 0x7f402e38, 0x319f44b3, 0x87fad38f, 0xbc70c5c1, 0x39d5dd70,
+    0x8aba9ce9, 0x77b11638, 0xa0ec17d7, 0xabaa2a5d, 0x563beda4, 0xe076c581, 0x84d08c54, 0x8b9a833a,
+    0xc0d445d0, 0x0570b2f3, 0xc29c5010, 0xb250a798, 0x7c708d87, 0x615838b4, 0x35c4ad5c, 0xfa34ce26,
+    0xd06df980, 0xc7f5546d, 0x04cf2165, 0x600afbaf, 0x87af4d7b, 0xffc3d39a, 0x0e56fe58, 0x50330141,
+    0x1395db4f, 0x605fd07e, 0x81f0d1df, 0x968e1e0b, 0xfe1b8612, 0xf1bc07d9, 0x088b46ec, 0xf10bd915,
+    0x13e72abf, 0x90a72005, 0x3d77daa2, 0x907499fa, 0x18e3da05, 0xb944fe31, 0x4fe06445, 0x66230314,
+    0xed0221b9, 0xcb1dea9a, 0x4ee139ee, 0xe14ea82c, 0x4e13e95d, 0x9a089e3b, 0x11fdc1bd, 0xe59c756c,
+    0xa8893523, 0x5357cdf9, 0xf41f0493, 0xc6f069e3, 0x5fa4a1f3, 0xc8eec347, 0x4cc7f0e4, 0x9952650e,
+    0x50652bc3, 0x5ebb42c8, 0x63746ce4, 0x82ad787f, 0x550c71ac, 0xe8f74f8b, 0x7413d6ee, 0x7f844ac0,
+    0x9cf23203, 0x90cc5df8, 0xf0f3b723, 0x96abcff7, 0x2b125e9b, 0xd4941f80, 0x32300089, 0x866d0383,
+    0xf4470fb2, 0x1333d3f1, 0xebaaf5ed, 0x913bcee3, 0x0e340fcd, 0xdf6fc9c9, 0xcba637f0, 0x81765040,
+    0xd6174c37, 0x2d543f6e, 0xbeb1da6c, 0x1cab853f, 0x617c0bca, 0xdac3daf8, 0x727af7e9, 0x308e36a9,
+    0x78c094fc, 0xf428919f, 0x82cfd2b4, 0xccc37f9b, 0x0d63f92e, 0x431f4f10, 0x513b8157, 0x630c9535,
+    0x222a938d, 0xe3acef4a, 0x5d294fe0, 0xc910b003, 0xc5b8c07e, 0xc926914b, 0x69580540, 0xa4746c49,
+    0x5e3d2d7d, 0xa76fc6d2, 0xd7fa40ee, 0x384497ae, 0x2dfcf056, 0xe7a88f00, 0x5867a07e, 0x74cdea25,
+    0x62f9e61d, 0x4488332b, 0xba4532a6, 0x3b1bd91c, 0xf299715d, 0xf3178839, 0xd4d67c28, 0x8c6bc40d,
+    0x30f379f9, 0x6b977d3f, 0x70d375da, 0x035fce8e, 0x27ed3fa1, 0xbd264a88, 0x37d69c79, 0xd183b9d1,
+    0xefcc373c, 0xc9312c11, 0x7a682c7b, 0x6a27fcbf, 0x41428569, 0xae71f6dc, 0x229248c4, 0xa9c52ab6,
+    0xfed0c043, 0x4e520dd2, 0xb658c6e5, 0xa209287e, 0xc96b9274, 0xfd7f6d12, 0x3bd89dd5, 0x04acdc62,
+    0x1c769f3a, 0x7c75d62e, 0x010943b3, 0xe8b70b5f, 0x32f6860f, 0x564ea7eb, 0xcddc2236, 0x405f8021,
+    0xa14b1620, 0x82179954, 0x6fa4bb53, 0xa96b57dd, 0x393a0631, 0x7a22335a, 0x4641823e, 0xfb109c73,
+    0xae30ff8b, 0xd85f3fa7, 0xd6710840, 0xdc65c8ef, 0xab2f3ab8, 0x75754a40, 0x847aec10, 0xf1b0d8f3,
+    0xb1e09cc4, 0x0f9ca51c, 0xf842f4dc, 0x8d74dcd3, 0x44c38ea6, 0x3c9b0b48, 0x64ab8148, 0x4886b500,
+    0x85dcc564, 0x8a43fcca, 0xf80d24bf, 0x0632e7d9, 0x557d492f, 0x3a6ddfdf, 0x653ea50e, 0xd5aa346e,
+    0x202fe8cd, 0x0c922b6f, 0x04a57a07, 0xd68ac006, 0x005627fc, 0xcc4b8c39, 0x6c90e148, 0x06130e9b,
+    0x4e051af7, 0x96d266f0, 0x928a9cfc, 0x6cb08f9a, 0x4cbde479, 0x0df1670b, 0xdf5d7064, 0x68173263,
+    0x2c6cb078, 0x1f48a888, 0x4a825f01, 0x3bbe444d, 0xdc99fedc, 0x396d69d2, 0x04d354fd, 0x7c2b747c,
+    0xf0a73e2b, 0xf4d22bd9, 0x6bacab5d, 0x5c3f2633, 0x960be39e, 0x4ae1e291, 0xc5be2066, 0x1751b61c,
+    0x6cc0b047, 0x14173618, 0x0d4e21fe, 0x831ad6e3, 0x34ba6646, 0xf72b3560, 0x749d864f, 0x9ecc112f,
+    0xc8cfeba1, 0x30a58266, 0xac953691, 0x803a378d, 0x7cdb8129, 0xeb0f8279, 0x00b659bc, 0xf3374336,
+    0xf312cb63, 0xedb0d20c, 0xa25eb59e, 0x09013778, 0xba6130de, 0x1b53aabc, 0x080d95d1, 0x96564d2c,
+    0xfe1d3844, 0x7de1f06e, 0xfe0c878f, 0x96a757af, 0x1f0aff55, 0x79d5d77c, 0xdb962914, 0x8b90c9a2,
+    0x1bba629c, 0x9c1e7552, 0xe8925207, 0xebf9929b, 0x15b41a30, 0xe7a23f43, 0x7165ba1e, 0x5916349c,
+    0xcdb18e52, 0xd4b5f0af, 0x20999be0, 0xc2f8007d, 0x889e482c, 0xef8c0134, 0xe1b64d6c, 0x996d4f81,
+    0x562e3c4f, 0xa125dee8, 0x39a5041c, 0x4cd3a71a, 0x1ec187c8, 0x10ff8a51, 0x4432f677, 0xc5c984dd,
+    0x2e83e316, 0x01a58b47, 0xb973ed59, 0x1b477466, 0xce0de575, 0x9c75e07a, 0x31b02a41, 0x1f48493c,
+    0x82742cc7, 0x822fab82, 0x32e07cba, 0xb98990c4, 0xc5e7e070, 0xb5989373, 0x0da3b1b4, 0xb0f9e40b,
+    0x40aadcea, 0x9be4669c, 0xff550f50, 0x560a3b5c, 0xdda18ec2, 0x23473282, 0xb996f78d, 0xc9d23804,
+    0xc935242b, 0x7d304482, 0xa361eca5, 0xcd7c7a53, 0xde66d9e6, 0x07b55846, 0x3e1821a2, 0xdd3a5866,
+    0x02f560bd, 0x4c174e8f, 0xb6e98990, 0xd1d040c8, 0x576f511d, 0xcf5a1c9a, 0x2f18119c, 0x0ca488f3,
+    0xc0560273, 0x7cf0ec5e, 0x3c038dce, 0xc6431de9, 0xe604d086, 0x847feee6, 0x4c4456a1, 0xb9e33d9f,
+    0x5a791bd3, 0x5acaf247, 0xe207fa0b, 0xa008a384, 0x5153842e, 0x26ef76e2, 0xc6f85102, 0x48a22aaf,
+    0x8555985f, 0x0fa4a98a, 0x66f8dc6f, 0xf5b4afe0, 0x42e42f6f, 0x43f1904b, 0x1dc67d46, 0xe82a05e7,
+    0x1e6b9cc8, 0x4d3a46ef, 0xc2c45d3b, 0x47f15d4c, 0xbb85865f, 0x61242e9e, 0xa35c79b5, 0xf52ba8c1,
+    0xead0916a, 0x1fa30204, 0xecdd5c8d, 0xa7538eee, 0x89e15800, 0x02958fb4, 0x30f583d7, 0xa3b922e5,
+    0x42837980, 0xf5166035, 0xca7a41a7, 0xb4411e06, 0x9d0712e9, 0x3b2a56de, 0x4384a0e0, 0xcb5a3a3a,
+    0x2768c5d6, 0x150544a5, 0x66498ff5, 0x4cdcc205, 0x6e25fd39, 0x9020217d, 0xbd3b1a7d, 0x864e83f0,
+    0x3755f08b, 0x35c11bad, 0x66400c57, 0xa5fa2b89, 0x3d714cee, 0x9b39bf82, 0x0f69ef06, 0x070d95f5,
+    0x0cd5566d, 0xda321049, 0xdc4ffd57, 0x27f904d6, 0x24351997, 0x0dac2855, 0xb78c0d56, 0x2d2f377e,
+    0x6d5ad9d4, 0x6ee89350, 0x571b03f5, 0xe9c196b4, 0xc7493c9e, 0xb3aab4d3, 0xf0f84a3d, 0x8444f5a9,
+    0x333f100d, 0x01f41c11, 0xe31ca36b, 0x3a9c8edf, 0x0f6da581, 0x77761ef7, 0x21ff044f, 0x115c43e1,
+    0xec845493, 0xb101d361, 0xc99d62c8, 0x4db36e49, 0xa2e79610, 0x8b72ffd7, 0xd23a25a0, 0x105ddc47,
+    0xda60b446, 0x4061a70f, 0xec2956a3, 0x83ad0761, 0x48d12849, 0x98c1f18e, 0xb4a84d96, 0xdd17bb2b,
+    0xb4632090, 0x441f46a5, 0xab598d45, 0x2a6d140e, 0x6473416a, 0x2e1cdb2c, 0x7523e096, 0x2c694b6d,
+    0x2fea1891, 0xb091c4a6, 0x3711c936, 0x47a92c39, 0x31fea050, 0x9c77cabe, 0x3dae3dbc, 0xc1278f6d,
+    0x4f0d0ba5, 0x289d2e21, 0x2fb88237, 0x31418e40, 0xa0c891a7, 0xc19c8419, 0xebe16869, 0x6c77ad5c,
+    0x2c373853, 0x36bcb339, 0x76e22dd2, 0xa144f0d0, 0xaf583323, 0x28e6bada, 0x183ccad5, 0xf26fe89b,
+    0x5757d81b, 0xbc06c512, 0xee63ae71, 0xe5e6dc5e, 0x289e0240, 0x7ac06e69, 0xd0d886ca, 0x35b8b848,
+    0x5f044e99, 0xfb53b176, 0x01856d8c, 0x1af45ad1, 0x6c6bbff2, 0x1722fca3, 0x14ca0b09, 0xed20b0c4,
+    0x0f84dd6a, 0xbb4dc8fc, 0xbfdc5ea5, 0x22ca5de1, 0x5975d1fd, 0xc777674e, 0x175279f8, 0xad6146a3,
+    0x4ae832e6, 0x752fc090, 0x2bb37e13, 0xc61b7f2d, 0xff9831ef, 0x7448cde5, 0xa81e7cfd, 0x018407a1,
+    0xd3826d7c, 0xa4ac2768, 0x607b5ff8, 0xf00131da, 0x9ff36738, 0xfac8d365, 0x6bd3b1fe, 0xb8742e1e,
+    0x247233b0, 0xf7eeb85f, 0x08fe8577, 0xe95154ae, 0x9063c217, 0xfeb293e8, 0x7926681d, 0x5fc4201c,
+    0x78c8974a, 0x70db7dc8, 0xf1a2d009, 0x7ab29fde, 0xa94d61b9, 0xa64a8529, 0xa973f97d, 0xc3c10698,
+    0x4db7ade3, 0x766b2310, 0x5586bd5c, 0xa9e56548, 0x80ff09e1, 0x3594fe80, 0x4bf5f401, 0x6bc5718e,
+    0x805b18ed, 0x79d1b456, 0xee4ab360, 0x901a551a, 0xb2a0a0e7, 0xb4f1f6d5, 0xc3ede249, 0x00b541ed,
+    0x30e92dbf, 0xfb8b1c4b, 0xa9edde39, 0x597fd182, 0xa80b9d9b, 0x4abdbb51, 0xd9e8d190, 0xc29ee8e3,
+    0xc7127a01, 0xd92b71f3, 0x06c60c18, 0x86a052c4, 0x292bf04e, 0x7ee8d441, 0x1c588e63, 0xa09f4b06,
+    0x8c4243d4, 0xb6ffc4f8, 0x0ba7b10e, 0xd5202f45, 0xba33aba0, 0x9e24273f, 0x47c24eb6, 0x341be4da,
+    0x25843676, 0x26c9bf51, 0x08884652, 0xf543a29a, 0x11803a4d, 0x6d78c28c, 0x9a4799eb, 0x40a5fb65,
+    0x10c2061e, 0x263201be, 0x54783965, 0x2037b96b, 0x38fb5d64, 0x329945d6, 0x820b7127, 0xdc8f7cbf,
+    0x457f6e9c, 0x5f63c606, 0x3910cede, 0x52cd5f62, 0xc8835363, 0x571a2234, 0xd6c0dbeb, 0x6590fea2,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000633825300114114700748351602688 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe4, 0x92bf6ff3,
+    0x00000000,
+    0xe7973aa5, 0x1304a610, 0x3d0cc01d, 0xa2cee65f, 0x5ede1027, 0x182266ba, 0xd3bb0194, 0x74c9d0a2,
+    0xd13eb5ab, 0x0e6febab, 0x6b06bfb7, 0x536ea486, 0xd2f553aa, 0x38c03191, 0x88a157b9, 0xb3a7054f,
+    0xd04759fd, 0xac4c8520, 0x1d8f834f, 0x48075cb3, 0x472e2ca1, 0x789a74d4, 0x7cb56c39, 0x277c5dee,
+    0x77863d1e, 0x80a49101, 0x55c95556, 0x52c13a7e, 0xe2aa624d, 0x03b27890, 0x77ed13d6, 0x01918d6e,
+    0x3ff57081, 0x173629fb, 0x829b67cd, 0x805255fe, 0x81f584b4, 0xac6a922d, 0x48339aa1, 0x7abbba4a,
+    0xd2d7319f, 0x7736d069, 0x23579a59, 0x91ab633c, 0x887de6e8, 0xbcde9bc4, 0xeafa3dd6, 0x28e3d98d,
+    0x3028c04c, 0xb5b48d27, 0xba5092fd, 0xbee6daee, 0x340062d3, 0x890652ff, 0xd5fe5289, 0x1467be11,
+    0x3ea36bd9, 0x2d79ab4c, 0x31d28e77, 0x3c29b6cf, 0xa1e96289, 0x751b519e, 0xc4bba79a, 0x40846e00,
+    0xd5f1f881, 0xf07b3803, 0xb51e4915, 0xc5241a05, 0x3fd2c0b0, 0x9616359d, 0x50472160, 0xa0c16113,
+    0xbde3dad6, 0xb3aa77b8, 0xfdc33123, 0xac557456, 0x69199c48, 0x1b28884f, 0xdeb86011, 0xb71505cc,
+    0x1b92fb46, 0x3e42e311, 0x5c5fdc63, 0xe8036a6b, 0xac10f7d7, 0xafaf7f45, 0x499678d8, 0x0615d24c,
+    0x703be2a7, 0x5cf799fd, 0x0e7675fa, 0x254eb277, 0xbd1bde48, 0x70b11664, 0x8f785f05, 0x54a9f86e,
+    0xe6cc49f0, 0x365e7f74, 0x81d85f5a, 0x0d07ffa9, 0xbe9a4647, 0x2e5b9caa, 0x48696ebd, 0xf16a0d09,
+    0x3c393cac, 0x20a9d504, 0x3ad007d0, 0xdeeb9d4e, 0x8cc7b692, 0x967fda42, 0x6e3d0692, 0xf684a738,
+    0x9a119765, 0x3c4262bf, 0x8aeca821, 0x9440a540, 0xed834e07, 0x8b98c3b1, 0x56b17a9d, 0xe135d9af,
+    0xffa02c00, 0x7f23ec95, 0x152e0da2, 0xf8b2944b, 0x9b045ecb, 0x46cd97c0, 0x7160e8f9, 0xa34cb690,
+    0xccaa7312, 0x5e44cc21, 0x84a68a96, 0x07d8419c, 0xa9d5888f, 0x2aea79cc, 0xa33b18bd, 0x566aef2c,
+    0x600f7163, 0x48d9f488, 0xc5744845, 0x9f5ea6fc, 0xddbaf382, 0x36f93118, 0xfa9a3e23, 0x33bd0d16,
+    0x2d25e0c7, 0x058662bf, 0x68e58025, 0xce8b6880, 0xbeeda866, 0xab95be1b, 0x685815c7, 0x05c217c4,
+    0xa33b93d8, 0x89dbefc8, 0x6d8fc023, 0x1d2c4c83, 0x70eee04c, 0x122ad41f, 0x1a2d8531, 0x691c930e,
+    0xf675ded3, 0x37024838, 0x8c1eae57, 0x5494bb9d, 0x5671757d, 0x5bb81db2, 0xd0e4e196, 0xb488725e,
+    0x097947c3, 0x419e2c58, 0x1942b753, 0x4fbe94b0, 0x562bfada, 0x15f2cf73, 0x8dffdbb0, 0x10854b33,
+    0x2a1ac041, 0x483458d6, 0xf539bea1, 0xabc3ae0b, 0xb347ee99, 0x57241b6a, 0x29bbad94, 0x33855aa7,
+    0x7c81386d, 0xde178f25, 0x531d13c0, 0xe343b2ff, 0x47d98945, 0x690a1838, 0x9896c239, 0x34e769fb,
+    0xec42fdd2, 0x638145f4, 0x415c5801, 0xc4123816, 0xb5d1a63a, 0x626bb14d, 0xc616fb4a, 0x7e25afba,
+    0xde113deb, 0xd53b2104, 0xb2b6d614, 0xf9b4fa02, 0xe2109b20, 0x10374ff2, 0x27680a96, 0x4a60b9c9,
+    0xa09b56b5, 0xbe31d089, 0x1d2a3395, 0xe3c31d65, 0x305b3915, 0x7d9945a6, 0x9aa29da0, 0x0ea48191,
+    0x7245017c, 0xd1f8d0dc, 0x72f3734c, 0x6c7a808b, 0x1ddd4b41, 0x39b7f68a, 0xfce71e5d, 0xbe954020,
+    0xb281266b, 0xabba7aea, 0x53fa3472, 0xd28f6f5b, 0x7289a859, 0xff64b8b6, 0x11404ad3, 0xd9905f40,
+    0x6b9ef91c, 0xc1f3f494, 0x733f271d, 0x2023a3bd, 0x20a0acf0, 0xf9d53b9e, 0x6ef4e019, 0x50f6fc0b,
+    0xb577ff95, 0xfb47e76f, 0x1ff28822, 0x6da3fe2f, 0x5fb2b126, 0x8afeb03d, 0xacb8c919, 0x5b56789a,
+    0xbdc0aa99, 0x6860965a, 0x17a9dfc1, 0xd4c58eeb, 0x65ad8efe, 0x55897845, 0xc530b8fa, 0x1a930547,
+    0x0edc751d, 0x738d718e, 0x0099a8e0, 0x5c8d9f49, 0x4540a897, 0x055e4f96, 0x005064e4, 0x5966033d,
+    0x371b7808, 0x4a3a5a0b, 0x4c1dd56c, 0xc726369d, 0x2e0da997, 0xa6a7a68f, 0x25bc8d2d, 0xe767e4d5,
+    0x8cff95d7, 0x01ea6624, 0x6ac9f389, 0xd86546b1, 0x58343753, 0x33ae7a68, 0x7fb86d84, 0x3b6aba89,
+    0xade90100, 0x51f111eb, 0x15a201eb, 0xf31487ed, 0x9921815d, 0x2db7ac6f, 0x3645a166, 0x44d570d0,
+    0x1dd05786, 0x63dd0489, 0x7e46c7a9, 0x148e489a, 0x3c80b036, 0x40973963, 0xa53948b4, 0x0e6668b6,
+    0x244498cf, 0xa2a78acb, 0xbde26b01, 0x4e30afe6, 0xf2360ff4, 0x5378d470, 0xf4341c66, 0xb77a0e75,
+    0x3eb83e1b, 0x028147f3, 0x1f577847, 0x0caa0360, 0x516e326c, 0xdae43aa8, 0xf3db66df, 0xa426d278,
+    0x07677720, 0x66fe5f18, 0x43cd1c78, 0x1a5127a1, 0x618ad220, 0x08ba02cd, 0xb47bc3a3, 0xc03863b8,
+    0xb34d1972, 0xf95ceaa2, 0x0a8bacfb, 0x627e00a5, 0x445a4914, 0x00b2d905, 0x08ec60ba, 0x9f0bc7a5,
+    0xf74be1cf, 0x93b39a51, 0x837d88af, 0x5fe80dd9, 0x6845cbdb, 0x991b4dc5, 0x65bf5787, 0xf5a59a73,
+    0x9cb59371, 0x4d7c6212, 0x3c1ff210, 0x16dbf528, 0x8b157d10, 0xad3e4458, 0x828dadc3, 0x29b6d914,
+    0xf3f34f83, 0x5e2b652e, 0x5311436e, 0x032f8cc0, 0xc365a1dd, 0x321ab178, 0x6e996793, 0x55246d67,
+    0x30c4231d, 0x68a38434, 0x77f54ac5, 0xa5b32d78, 0x44f1292c, 0xf9ebf14a, 0x629ea838, 0x85e25c58,
+    0xeb8b9730, 0x67390640, 0xb77c5d45, 0x1f2dd886, 0x38ebbe5d, 0x8a878260, 0x662dd911, 0x14732246,
+    0xa1edf84e, 0xebbfcd88, 0xb8bf54b1, 0x5ed9196e, 0xb1031e33, 0x03808af3, 0xf60b1ba8, 0xcbf0c129,
+    0x13c81500, 0x337806e8, 0xf4d84357, 0xeeea2620, 0x7c952f9c, 0xccb6ad33, 0x420aec73, 0x53aa0866,
+    0x98d1a5d3, 0xde5f3271, 0x73fb04e9, 0x7996602d, 0x63c981fe, 0x2bd81b7d, 0xcadf0a9e, 0x0c5a9808,
+    0xfe98cb57, 0x377a3ac8, 0x7a47f0ab, 0x5d5e4c4b, 0x64b8f22b, 0xfaf1f804, 0x78bc117d, 0x29545324,
+    0x1aa79538, 0x4d24990e, 0x72a6def5, 0x72f3bf8d, 0x9b6f98c1, 0x9a3aebdc, 0xa7da599f, 0x76094875,
+    0x7efd72a8, 0x2378f89a, 0x32e788f7, 0x23587762, 0x39fd3273, 0x2e0cc0d3, 0xa230156d, 0x135b4cf5,
+    0x7e1dc471, 0x55a772dc, 0xd53d5ccf, 0xfe2a4cb7, 0x11da90f3, 0x3da344e7, 0xeed7909a, 0x666e414e,
+    0xc071c36b, 0x3eb99403, 0x7abcdc95, 0x12aa5dde, 0x4b140658, 0x438ca82b, 0x6f7f9592, 0x94894543,
+    0xe250755e, 0xa5b6e041, 0xf325d3c6, 0x7e33d7d4, 0x0da4683c, 0x1ecf6481, 0x0fa41676, 0x1f38084e,
+    0x042fc9d8, 0x85464bb9, 0x5a3d50bc, 0x9529404c, 0x6f79e5e2, 0xe45e8433, 0xdf7a9721, 0xda5b54ea,
+    0x009ffc10, 0x6ce27af2, 0x53629dba, 0xbc6d4724, 0xf81f6c0a, 0x25011962, 0x24397b87, 0x44cca218,
+    0x2269fd44, 0xc52e9bee, 0x7043f763, 0xb84fb696, 0x86caec83, 0x76f09c1f, 0x2f219453, 0x1f7f9475,
+    0x6b9efebf, 0xdf5f3902, 0x38814c4f, 0xb6503041, 0xcf0fddf2, 0x2fa93f83, 0xb9906d6e, 0xc8534cac,
+    0x539ce91f, 0x2079fbbf, 0xebbea5d0, 0x88706be7, 0xf1bc4941, 0xb7c4118f, 0xef3dab75, 0xb81f0bd1,
+    0xf503f0aa, 0x4f0123a0, 0xb7d0cfc3, 0x88852648, 0x824cb79e, 0xf401eacd, 0xa5cfa8f7, 0xb4e16c45,
+    0xf1bd2678, 0x76e61a95, 0x31d39e32, 0xd0060619, 0x71777ac7, 0xbdc91d3d, 0x0b1a376b, 0xad748f8a,
+    0xeb7f2225, 0xfda843d0, 0x7c91bd80, 0x80a99ca9, 0x2c07d614, 0x8a5a157e, 0xdea90adb, 0x3a411af7,
+    0xceb7de91, 0x14c7b357, 0x2c40c5d6, 0x51eecd86, 0xad202d24, 0x248901d9, 0x1b08216e, 0xd8801d88,
+    0xf614116c, 0xe17150cb, 0xe860357b, 0xdcd93fae, 0x33751407, 0xe8b62f6d, 0x746a061b, 0x00394341,
+    0x3817d9e7, 0x89190fe1, 0xe9b2d01d, 0x3480ea5a, 0x30f5ad64, 0x18d48630, 0x30821088, 0x145ac49d,
+    0x98d8b9e9, 0x63e90836, 0x35d1be06, 0x646b0426, 0x98ae093d, 0x9f8e033b, 0x70e2d24a, 0xb580af9d,
+    0xd6d0fa98, 0xe294ca12, 0x1eeba8c7, 0x3d1a6c6f, 0xe9fce9e1, 0x7a8a5cdf, 0xfcf357a8, 0xb94c43f5,
+    0xf1fab111, 0x339d8e47, 0x58db3ad7, 0xfb39a5da, 0xff7e219f, 0xc7ac4952, 0x1c7651db, 0xf6717340,
+    0x074c4016, 0xe1558884, 0x3ecf6f3f, 0xf9fe322e, 0x84c1e16e, 0xa9f16f80, 0x5a5bf612, 0x633be280,
+    0x11151a96, 0xff11521c, 0x7744617f, 0x21498c26, 0x3137984a, 0x07cc3705, 0x21d4b702, 0xcc68c036,
+    0x4ef1ce08, 0x20dc3f01, 0x51bfa204, 0x5d9761bb, 0x1f82e72e, 0xb5455905, 0x746f87a4, 0x4f722fd6,
+    0xc652ae7f, 0x9265b3cb, 0x71da1fd5, 0x7cc83cbf, 0xcdedf3c3, 0x7a5d6cc4, 0xc3cb0c8a, 0x00dc5854,
+    0xc9f18282, 0x20be58a2, 0x6d9b27dd, 0x2073f64d, 0x9e59d037, 0xa1642a28, 0x18900ede, 0x0d094f29,
+    0x7f400035, 0x4b3850ef, 0x59cf7d01, 0x4e5e0057, 0xa3ec472c, 0x636cc3ed, 0xdf8316cf, 0x924f67fa,
+    0x3e63bd8b, 0xce25b0cc, 0x13b93903, 0xc4fc9f86, 0x4231022b, 0xbd6cff9c, 0x8b621360, 0xc1482472,
+    0x725470cd, 0xdcd854cc, 0x12c9718b, 0x1c383832, 0xef07e6b6, 0x552df012, 0x87c764e6, 0x5045dd52,
+    0x9af9a088, 0xa53f2823, 0xd91195d9, 0x60a7e65b, 0x2e4ed8d2, 0x07211061, 0x82123e0f, 0xc4c83c72,
+    0x348f4095, 0x2116e303, 0x9bbd9e1c, 0xca10055a, 0x43505023, 0x4fd71cc7, 0x4d162deb, 0x789e2ccf,
+    0x8b87a9af, 0x72a929dc, 0xbfc02190, 0xdd921216, 0x6bdab51c, 0x98404128, 0xcd8da41a, 0x53c631d9,
+    0x4d6f8411, 0x78f14b3e, 0xd0fc8f02, 0x34e4e942, 0x078eab16, 0x2913af73, 0xec4126d6, 0x1dc3642e,
+    0x005d5978, 0xc98c59fe, 0x62295c16, 0x08c9b99e, 0xad6a1eec, 0xd51300b3, 0x94db27e9, 0x857826d1,
+    0x0925053b, 0x08dc3339, 0x4abf1704, 0x56c4fe46, 0xae927ab8, 0x6a50d1ff, 0xa28f585d, 0x4053d762,
+    0x48f53a92, 0x9bf2edc8, 0x259fccc1, 0x7a45da7e, 0xe59c6d8a, 0x2ca67ecc, 0x5893b110, 0x95c721d4,
+    0x17a58d80, 0x2e7bd438, 0xd1c5bc6c, 0x468a5030, 0xb3ed362b, 0x4c71131d, 0x569ca5b8, 0x0f6b011b,
+    0x743933d0, 0x28876f1d, 0xf6ab7f59, 0xa3567b59, 0x500bc618, 0x3818a1ea, 0x9f74d05e, 0xb60db3e7,
+    0x06dcea49, 0xd101ec3d, 0x013f06a8, 0x7efbe727, 0x53f2e4f3, 0x04a2daf8, 0x5abf5d05, 0x5428cb6a,
+    0xfdc50221, 0xf5379d3d, 0xad4c6f57, 0x98fbae0b, 0x8f3dec61, 0x33455b49, 0xf8f34407, 0x889b6d9d,
+    0x31889842, 0x6ae64a87, 0xe15a4266, 0x0784037e, 0xd3dad1aa, 0xef6984f7, 0x424a7e44, 0x3c74ad0d,
+    0x44b7e89a, 0x11be7f09, 0xd3f30872, 0x736d327b, 0xd7cdfd96, 0x212b43b6, 0x8c6e5b93, 0xe9a90cbf,
+    0xedf432ba, 0x1a9171d5, 0xb4e4130a, 0x67be86b3, 0x56be6056, 0x74c7356b, 0x872c20c1, 0x09d8c693,
+    0x9c050bad, 0x5c1182f5, 0xb329b8f4, 0x94ad4206, 0x5318bec7, 0x2cd7a240, 0x9e4b4d5c, 0x22c9e0f7,
+    0x5e50b711, 0x2513d679, 0x75e791b7, 0xd3f6c200, 0xd14a4353, 0xfa5b38e6, 0xe8aa17be, 0xcffef8a9,
+    0xd18c8b44, 0x23e4ca86, 0x5286c501, 0x910a9253, 0x95e63afc, 0x34ee7837, 0xdfdb3566, 0x5fbfd16f,
+    0x2e0b6ed0, 0xdb017268, 0xbe20c7aa, 0xe7df5d87, 0xcabed0f6, 0x2ad43483, 0x87ae073c, 0x3faf33cb,
+    0x2472af9a, 0x32c47692, 0xdcef80ad, 0xd1fd43bb, 0x651afce5, 0x231ee8b5, 0xf14ef862, 0xa411f98f,
+    0xde749b92, 0xb84a70de, 0xb96d6d8f, 0x554b51ef, 0xdf0e3faf, 0xb6f38163, 0x5a186f13, 0x287e0fb9,
+    0x3919e103, 0xf49b7671, 0x8272555f, 0x3e8f313f, 0x7bfbd629, 0x59d52406, 0xd33c4c5c, 0x0a7ea719,
+    0xb0ce6602, 0x05cdda2b, 0x31869bd0, 0xb881d880, 0xa8dbc715, 0xbfcc9544, 0x4f529813, 0x46c4905f,
+    0xefcbb68e, 0x6d2a01a2, 0x67cc34e9, 0xa0261482, 0x2f3b05d2, 0x8034c7bc, 0xf6b52a0a, 0x352c7cf0,
+    0xae5b41c3, 0xe8ab45d5, 0xc641e191, 0x11126134, 0x5188a83d, 0x8d364cfb, 0x894554d2, 0x9b1d1eb5,
+    0x771a7298, 0xccec44f8, 0xf562b9eb, 0xb11124ee, 0x1ac52074, 0xda69df8c, 0xb0c8f445, 0xef75768d,
+    0x0c937afa, 0x2cb135e6, 0xa19146cb, 0x8101cc38, 0xb54ce523, 0x46658c5e, 0xd2b823bd, 0xd6e629b8,
+    0xf1b3f182, 0x20b06a4d, 0x562e15f1, 0x9b1ec214, 0xe91ecfa0, 0x546848ca, 0x4b09b24e, 0xa9197ce8,
+    0x696fdb51, 0x00763390, 0xcbdbe518, 0xc6aef8f9, 0xcd24fae2, 0x1be7ece3, 0xb26b14a3, 0x4a111f80,
+    0xf84f2b88, 0x6777714d, 0xb44e52f0, 0x5d8823e1, 0x5959c844, 0x5b955dc6, 0x28e7f644, 0xdebe6b27,
+    0x82de5e37, 0x0939a698, 0x2f7d63a2, 0xf630f5c4, 0xf6c2dd48, 0x3637aacf, 0x6b4b8d4e, 0x36b384a8,
+    0x5ab25645, 0x217e095a, 0xc39729ca, 0x89bcc603, 0xda9bb861, 0x40f9ef33, 0x5a4a66be, 0x938ae60e,
+    0x2d2930f1, 0x28e6425d, 0x6f50c71a, 0x0ef3f9ea, 0xadaf9ad2, 0x5fd268b4, 0x1ce50c93, 0xe4ac8713,
+    0x98039b6a, 0x59c2d06b, 0x66a2d9d3, 0x9551ddc1, 0x9652563a, 0x78467ffb, 0x6233d45e, 0x471e074b,
+    0x87aef36e, 0xd14dd30a, 0x2a062798, 0xea84ce06, 0x04c85fd1, 0x4cd4788d, 0x15b07759, 0x07c8c443,
+    0xd696d8c5, 0x498a6f2f, 0xdc10f5ea, 0xe51dd872, 0x70be7a90, 0x26ef540d, 0x95b36781, 0x0c92fd4b,
+    0x934a4563, 0xf291e064, 0xd3f449ef, 0x6d877d54, 0x2c617835, 0x4e6022ee, 0x03f625f8, 0x3452a453,
+    0x00550796, 0xcb5e1c85, 0x57ada7c2, 0xa167a1ac, 0x6286b8f7, 0xf35ace9d, 0x2aa5e372, 0xf4b724b5,
+    0x9888fc00, 0x2e9aa2e8, 0xeb173584, 0x8509a87d, 0x290a521d, 0x599fa1d7, 0x4bae1300, 0xf2724a46,
+    0x29293722, 0xf646599a, 0x1368204d, 0x87a6f45b, 0x097e55fa, 0xc874d035, 0x984d1a6e, 0x11391d46,
+    0xade98e51, 0xdf6ecdbf, 0x47b11fee, 0x798879f3, 0xce09781d, 0x2fb66232, 0x6f1323fa, 0x99230796,
+    0x4f318eb5, 0x7db07455, 0x8aa02ef5, 0xd47370e4, 0x03465510, 0x5fac6923, 0xdab68253, 0x54362263,
+    0x393be6f5, 0x21a45c4c, 0x11a8dcbb, 0xc92edc90, 0x224b15ec, 0x31720ba7, 0x6fa32676, 0x416a7873,
+    0x90623387, 0xed2e1c10, 0x4c448f70, 0x3c1643e3, 0x38db5820, 0xf9a57440, 0x6d930e48, 0xc2ab2a4a,
+    0x5c769999, 0x9e9b0a13, 0x933d77ba, 0x506604d7, 0x4901c166, 0x925df455, 0xfbec3c93, 0x383db8c8,
+    0xa11cf133, 0x14d95ee5, 0xe1ca2d9d, 0x4a55d34e, 0x6e67f7a4, 0x5547a9aa, 0x1ce2c178, 0x14e8a562,
+    0x3eb50eef, 0xe7e1e435, 0xdf2371a3, 0x5cf6575a, 0xf362ee7a, 0x75a4fbf9, 0x996c5ce4, 0xd1ffd13b,
+    0x4c337c53, 0x88e705d5, 0x59572f5c, 0x81e33b87, 0x4d11a74a, 0x6720ebc6, 0xb1a36f97, 0xb3d0e1f2,
+    0x7b41d676, 0xc067b003, 0x4965e8db, 0xe94128fd, 0xd0e32e46, 0xdeb4bff1, 0x079304a4, 0x36d162d2,
+    0x5451428d, 0x0e3607f4, 0x5530eab0, 0xa24eb8f3, 0xb65c1c5f, 0x3c3fc2e6, 0x8f3f0cfd, 0x915ea8d3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000316912650057057350374175801344 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f2, 0x495fb7f9,
+    0x00000000,
+    0xac2c578c, 0x263ef90d, 0x48ff53e1, 0x8b4f43f0, 0x9a49dc89, 0xafdde9a4, 0x2a8e11e0, 0x3ed661df,
+    0xb62c5c8e, 0x03abeb9d, 0x2929cecd, 0x0722fdea, 0x4946227a, 0x679b8937, 0x08939d84, 0xd3a8886d,
+    0x28cebbe9, 0x49f800f3, 0x553c1c25, 0x2db52b0f, 0x2a756c23, 0xa7a5c18f, 0x7c9e7b28, 0x09ba0cfb,
+    0x070448be, 0xdecae666, 0xf2f3156a, 0x9aecc6b5, 0xa0024936, 0x44d5800e, 0xdc20ddf0, 0x36377e07,
+    0x14cea7b6, 0x4cc73556, 0x84c346ea, 0x5b1de5db, 0x537b6898, 0x1048f16d, 0xd7d86355, 0xa61d3e3c,
+    0x9d00c854, 0xb02ef833, 0x8e1b1c0e, 0x70cddcca, 0xd773b326, 0xc6c28bdb, 0x906120a5, 0xb917f6b0,
+    0x303de960, 0x5d86bf7c, 0x6b1e4813, 0xde49b073, 0xb2462905, 0xb67935d2, 0x387028ed, 0xc8302a49,
+    0x52abd0ba, 0x5e0a938d, 0x5bfe0754, 0x2f0ef3c5, 0xd0a0864c, 0x33cabbbb, 0x386be529, 0x0817b65b,
+    0x8619f14f, 0xc24001c1, 0xf4e723fe, 0x843b2fc7, 0x094319cd, 0xc772d532, 0x1ce1453a, 0x5ccb5ece,
+    0x6312805e, 0xc9c6ec2c, 0xb0ab0718, 0x06491ca1, 0x81de25a6, 0xc4a25c94, 0x2c8b855f, 0x6c0dfe2e,
+    0x55a4b53e, 0x3b5e435e, 0x85fa69a2, 0x575e775e, 0x82a051d9, 0x2cc48e86, 0x264421cb, 0x7faf7ce7,
+    0x49bce948, 0x735dc433, 0x0dff73ae, 0xb2fcaddd, 0x26a7852e, 0xf7d5fd59, 0x7f30ab1a, 0xa04993c4,
+    0xd7da3cca, 0x84b84a69, 0xc6d65f80, 0x8d0254f8, 0x98dcdcdd, 0x84993254, 0x0d66450c, 0x0895e2e5,
+    0x52528322, 0x04d5aae7, 0x370483ef, 0x133466b8, 0x479d1df9, 0x90b4de1c, 0xc9b9ad14, 0xe89440f9,
+    0x967b61a4, 0x17545465, 0x8b022792, 0x3d232d72, 0xe5a53b65, 0x932a34c7, 0x71cae1b2, 0x41331d47,
+    0x00a88ce1, 0x56e17c53, 0x03dd2820, 0x2399a3ae, 0x258af717, 0x0401d708, 0xcc080242, 0xc99d26ce,
+    0xad58e870, 0x1c4e0914, 0x6eb80fc6, 0xce5c3c41, 0xacc792c1, 0xa6005851, 0xef67173f, 0x236b4a60,
+    0xb3de3849, 0x9b728db6, 0x772ee4c6, 0xf1b18028, 0x0b862bc7, 0xea7ac79f, 0x6f3f43e2, 0x0e4673e8,
+    0x7d02bed1, 0xc4782cb3, 0xb415c410, 0xffdb8672, 0x0782f439, 0x8b31504e, 0x1578302a, 0xfbff3c1f,
+    0xa0a75a70, 0x4ddfac5b, 0x67637895, 0x3e98d6ed, 0x1ca3e099, 0x65a7db48, 0x8314a684, 0x241ef3da,
+    0x7377d276, 0x25d814a6, 0x092a06f9, 0x49bef201, 0x2780940e, 0xc4bf0f5e, 0xb240dec0, 0xd12f5464,
+    0x76eefc06, 0xec45e3af, 0x6a1a3eca, 0xb288a0f1, 0xa8c397e3, 0x5f8e646f, 0x04cdc66d, 0x6b97a831,
+    0xd4a47557, 0x790de103, 0x480a6295, 0x19178466, 0x45bd12a1, 0xf06ce790, 0xb0cdf324, 0x27b63484,
+    0x9f1b1025, 0x65c2a0ac, 0xf4c11921, 0x280d061c, 0x1b01cbf0, 0xc9ba0c27, 0xd77e3cfb, 0xda7ddde3,
+    0xdc5cb2c9, 0x9269e489, 0x9c422864, 0xbe5010c6, 0x96caf9a3, 0x8dd78966, 0x68e06416, 0xb20db5fa,
+    0xe1225543, 0x4f4008cb, 0xa7c5f64e, 0xc9789e8f, 0x2ed6a203, 0x2138d0c2, 0x3820b897, 0x2d44b9c9,
+    0xb68a5fcf, 0x006f56f9, 0xcf1c3db4, 0xd034f515, 0x7fa6a60b, 0x15917168, 0x2cbaf5e0, 0xaa9b5088,
+    0x1052d751, 0x42756625, 0x536804bc, 0x6288d182, 0xf915c97b, 0x30d19814, 0x686fc90f, 0x860a9d9b,
+    0xd01baef2, 0x7f512e47, 0x8abfe0a4, 0x9b61804a, 0xffe426fa, 0x3d1770da, 0x5bae9e57, 0xa52ae48d,
+    0x8d12a24b, 0x05764f1a, 0xd0bd8ccb, 0x0ff08d1c, 0xb7ca51bf, 0xc78028fe, 0xd97e411a, 0x8208c397,
+    0xab490b0b, 0xa8cec55b, 0x46ece188, 0x4d1e5760, 0xcbd7f027, 0xa489a45f, 0xd8f409a8, 0x1f0f5d28,
+    0xb0ee90e2, 0xe5fa0f68, 0x4134153b, 0xd2b7cd1f, 0xb757b8a0, 0x7455f900, 0x6db0f122, 0xb485bc8d,
+    0x558ed197, 0x24eca081, 0x2faef9bf, 0x7276703a, 0x2240b0fa, 0xc2753840, 0x4f9f719a, 0x2e3ab936,
+    0x4cc55048, 0x5bad08f3, 0x3ae4cd5a, 0x555d12a7, 0xafbf7e95, 0x480adeb3, 0xbc4ba1c9, 0xc816352d,
+    0x130d447b, 0x24ddfc9f, 0xe6f723ca, 0x74cfbb8f, 0x4b438f9f, 0x4b0aeb13, 0x8bf9519d, 0x603f7f79,
+    0xda432ade, 0x73d53dd5, 0x0ff875e9, 0x742194c6, 0x4a428c40, 0x7a547a4b, 0x9a5f041e, 0x28f6b0ba,
+    0x63318da4, 0x97395141, 0xdfddc9d9, 0xd166bca6, 0x1019d8d7, 0xa13ea8a7, 0x90c1a1da, 0xf5170ff6,
+    0x24421554, 0x51219786, 0x46294c50, 0xb7950843, 0x623aebc8, 0xeea5f486, 0x00c491e0, 0x831b40bb,
+    0x231b037f, 0x366dcbef, 0xe0d7d111, 0x0a0fedbf, 0x58c39fae, 0xad6a65b9, 0x947ed335, 0xe819813e,
+    0xe55eb272, 0xbf2cb8a5, 0x1693adc2, 0x469f1d1a, 0xe1455b2d, 0xb39efeda, 0x32fd7926, 0x5e6e6df8,
+    0x68442e8e, 0x2984b678, 0x426df5d7, 0xacaed853, 0xd5bbd9ee, 0x7b2b6663, 0xc0d11c81, 0xfbc858a1,
+    0x036a4c5a, 0x4d57c15c, 0x91b5dd19, 0x0356fd3b, 0x7882acca, 0xe6eea8af, 0x16ae3385, 0x6875d11c,
+    0x3f1ce1bd, 0xfca51708, 0x3be75973, 0xd3d581f3, 0x3360892f, 0x0e395bf1, 0x0876ff37, 0x49115036,
+    0x89220aea, 0x4841780d, 0x0fc41e0e, 0xf63bf8c6, 0xe3de66c0, 0xf509cf7b, 0x6070067d, 0xdfc1f9b4,
+    0x5bcf9fe0, 0x76a38ddf, 0xf68a6ac6, 0x243574bc, 0x79f39f86, 0xd76efc23, 0x760d233f, 0x9f9a64f2,
+    0x6e4f0c8b, 0xfa1e355d, 0x6cce8b49, 0x340c9562, 0xb521aa82, 0xf6008b62, 0x68a04c71, 0x4bee9b9b,
+    0x2c5685a5, 0x997e8032, 0x1ef76f51, 0xee3955ff, 0xa0d69968, 0x7611cfe2, 0xe93c58ab, 0xce906a88,
+    0x32985469, 0x506ca217, 0x1b0f755f, 0x5e699111, 0x74f77c94, 0xfdd89c79, 0xdade137b, 0x45ab10c2,
+    0xcb9b6384, 0xe95692a0, 0x605df2fe, 0x193c0046, 0x535eca40, 0x107742a5, 0x4190597c, 0x55bc81b1,
+    0xbe050620, 0xda74e63b, 0xebd2d741, 0x5377db86, 0x5b764815, 0xd7a2ac4c, 0x48d0bf21, 0x5976ed52,
+    0x628e44df, 0x8a75feff, 0xd2e8c422, 0xea76caf6, 0xecfd21dc, 0xcae9531c, 0x7c6be04a, 0x7e6542fe,
+    0x1193a03a, 0xe8abda94, 0x6cff65d3, 0x26d570c2, 0x4b1f6162, 0x0dc6aaa3, 0x63ff8d88, 0x2d2fa3d8,
+    0xe6b3deb2, 0x2db7a976, 0xa0cdef1c, 0x446f3c18, 0x7efed8ee, 0x8616e5aa, 0xe8b62f25, 0x451d1faf,
+    0x049d96c2, 0x9ae3253c, 0x53f310f3, 0x6cdf124c, 0x6b477c24, 0xb58fc1f3, 0x9cd0ab20, 0x1fe1d88e,
+    0xf5ef8f65, 0xa298f2ae, 0xe03c247c, 0x352fe8c6, 0xc9079db9, 0xcce4f95c, 0x3927b2f3, 0xd16bb47e,
+    0x5c07a04b, 0x8de7154e, 0x6b755f11, 0xdfb36bab, 0xcdce17dc, 0x37492595, 0x8276ac2e, 0xc79fc4cf,
+    0xaf9e912b, 0x1347066b, 0xbb80ddc0, 0x7c5fa309, 0x188d4e36, 0x3f672a81, 0xf35f7629, 0x993db22d,
+    0x10cc817c, 0x17ef46f8, 0x0e701d39, 0xf03870a1, 0x437132ef, 0x5def733b, 0x08714ab2, 0x6de04373,
+    0x6f3a1bb1, 0x029b104b, 0x89a80710, 0x87c75640, 0xdeaf6a07, 0x3385904b, 0xb244c5df, 0x5d74728c,
+    0x92039d12, 0x89970d43, 0xfc456f52, 0x4dabc8db, 0xe9a1a9a1, 0xc885f90d, 0xf3c29c05, 0x6693e0c2,
+    0x29077595, 0xd23fb5a3, 0x0eeeec7b, 0xa3dff78a, 0x9a941e69, 0x54c7e774, 0xb67fa519, 0xcc02c2fb,
+    0xab4adaa4, 0xf40d51ca, 0xf59f7a84, 0xd54c651c, 0x47900f2e, 0x414c7ed6, 0x28caf457, 0x3777e33d,
+    0x487702de, 0x3187b6ff, 0x5744c70d, 0x537c90ab, 0xff3eca24, 0x1b763ab7, 0x30e47da5, 0x1fa6a7f6,
+    0xe0670512, 0x63d2c84c, 0x006b7eb4, 0x10954fb0, 0xf8494214, 0xea18ec99, 0x206f76b9, 0x66d937d5,
+    0x02493838, 0x6f9fd11f, 0xfae6c5cd, 0xc4aab728, 0x7c715547, 0xc30e0ae5, 0xc00a0819, 0xcc3d2727,
+    0x2c97fd17, 0xd477e126, 0xa78194c4, 0xeceec092, 0x63ba6a07, 0x70fbe61f, 0x8dfb3333, 0xbbb6a361,
+    0x6397e687, 0x27feea37, 0x8b694b6c, 0x572d56a7, 0x34334d52, 0xe0e794f3, 0x8343db32, 0xb3cb1f1c,
+    0x2c426620, 0xc5f66205, 0xbf84eddf, 0x3f59fba3, 0x9d8738a7, 0xd6ee738b, 0xc0517b21, 0x2f399d02,
+    0xbea93f9c, 0x1b3277b1, 0x42cc3557, 0x6abbe19f, 0x23174e15, 0xf58e5129, 0x1a55c02f, 0xaf02eade,
+    0x622b83b7, 0x21ba99bb, 0xb95d7402, 0x7888634e, 0x3a8c681a, 0x83dcb77b, 0x47c6552d, 0xd596d935,
+    0xab5812ff, 0x9fc735ca, 0x0bba2875, 0x2d8120d2, 0xc17ee6b6, 0x7f43b77b, 0x984c9dc6, 0x2c58ffcd,
+    0xf8090342, 0xbcdc66a3, 0xb0e2b164, 0x133fe5ed, 0x6bdfc9e9, 0xd3e5a67c, 0xb81eeeba, 0x691eb0d6,
+    0x52596229, 0xc3afd022, 0x0e74a2f4, 0xf48e20ad, 0xa2382097, 0xf4d07656, 0x6a14f7b5, 0x8467f517,
+    0x8954854c, 0x89ef47b6, 0xd561fde8, 0xe22ebf04, 0xfb2e27e9, 0xb136f8bd, 0x7a92c85b, 0xa3cd95bc,
+    0x56d6ae72, 0xd42bbee1, 0xa13600ac, 0x53ad0d30, 0xd78ec408, 0xeee4bb65, 0x1db21719, 0x88be3061,
+    0x7b34d32c, 0x39b3e25b, 0xa25b9bad, 0x42c548a1, 0x59fb3069, 0xb208f465, 0x08fc2414, 0x2d565de9,
+    0xf8a6f1bd, 0xb5e4cce4, 0xa029f908, 0x774683f8, 0x192be898, 0xabfad9e0, 0xc4016593, 0xe49bc4c2,
+    0x67669b35, 0xc0b9b851, 0xbe6430a5, 0xf5b29d75, 0x3cde4b8b, 0xb2b59cd3, 0x244d6a92, 0x62bd1c4e,
+    0x3fba1fe3, 0xd563c153, 0xdfb2779d, 0xb20f1712, 0xee974ac6, 0x2484f889, 0xf8e17e87, 0xe7c88123,
+    0x98e96034, 0xde90875d, 0xa644c090, 0xb4362f3b, 0xb7da3949, 0x476c90fc, 0xbfd7fb20, 0xcd752989,
+    0x1ee5bb86, 0x56886584, 0xbf1d58d2, 0x4ff745bb, 0x2124e10e, 0x8089e222, 0xaba8e1ef, 0x4f49b589,
+    0x324fca5a, 0xfae86589, 0x4d3529a5, 0x1ae91e8a, 0xc102f59c, 0xc87a04e9, 0x817d41c0, 0x77e8aea6,
+    0x50e2216b, 0xaabf9036, 0x49087fbb, 0x1b10e554, 0x95d3fe9e, 0x9d8c39c6, 0x56473991, 0x32aa6fe7,
+    0x669d6be8, 0x5ff8f8ed, 0x606633e1, 0xcc0159eb, 0x333406ba, 0xb33062c0, 0xdcdc5368, 0xe4b6c779,
+    0xe49e7842, 0x3431c6e4, 0xd0ee1067, 0x1d917c5c, 0xba888ae3, 0xb22add78, 0x8b0aeaa6, 0x3ffcbd0d,
+    0xbd15535b, 0x5d441516, 0x3cc8ab5b, 0xb7e28d9c, 0x4c52cdd0, 0xdeb46d31, 0x3ecaddac, 0x0270673f,
+    0xdf5402ab, 0xbb049d08, 0x820a607f, 0x5e45400b, 0x120bd2eb, 0xb605a138, 0x66c0be20, 0xe5f86138,
+    0x45de50d6, 0x017e709a, 0x6763d890, 0x9d090749, 0x6a229724, 0x9ef0f462, 0x17ec9ddd, 0x56ac04b5,
+    0x4a3cc030, 0x5f6637ee, 0x285d4b88, 0x4e31df36, 0xf096b77b, 0xfea63de9, 0x0b2952d7, 0x9951d623,
+    0x2e30a560, 0x26d9a1aa, 0xa962f557, 0x716f196e, 0xdcdd307d, 0xcad36cac, 0xe9c2cf96, 0xc2bc5b3b,
+    0xc1b8c43f, 0xf6aa126f, 0x695b3538, 0xec27fb82, 0xd1fe3e58, 0x9a982b60, 0x503e206f, 0xf003d4fb,
+    0x843f6297, 0x6109aa7b, 0x37bc3f4e, 0x5165052b, 0xc560cf45, 0x427462d8, 0x83789ba7, 0xf504c2e2,
+    0x076839af, 0xffe02981, 0xb5e98a8d, 0xc7f5aaab, 0xea737162, 0xdee097e1, 0x23b9264f, 0x5ef00d0d,
+    0xab841de0, 0xe15d13c3, 0x1816ce65, 0xfd00408b, 0x89af8419, 0x88d14517, 0xc0ee5184, 0x12fb7f83,
+    0x4d2e68cc, 0x9510b0be, 0x3af342b6, 0x157f95c1, 0xbc8fc7fa, 0xd91ce9ee, 0x4d103c9b, 0x4f0a692e,
+    0x814ee27c, 0x5ff029ac, 0xb44f1bc3, 0xb9b76ce0, 0xf72b8344, 0xea012d2c, 0xa4295cbc, 0xdfed01fb,
+    0x606a7861, 0xbfa0fb22, 0x2262b2e3, 0x230f2d2a, 0xcaf3fe96, 0x5c2b229b, 0x5ad2f3ce, 0x36dcd0fd,
+    0x872fd862, 0x826dd005, 0xdbf08ca6, 0x3019463f, 0x77deb56f, 0x142ff765, 0xa9dc3950, 0xf80a2ef3,
+    0xf8de6fc0, 0xdbf0618f, 0x1f7d6149, 0x62a50d14, 0xcb70a43a, 0xadfc9c8b, 0x218e11a8, 0x206869e5,
+    0x651394ac, 0xb2019367, 0xd0499453, 0x93e505a8, 0x1e5bf3e1, 0xff102fcb, 0x2bcaa72c, 0x3bad96a3,
+    0xacddfca9, 0x3c72e9b5, 0x4e79052d, 0x7515b2de, 0x998ffb4f, 0xa9b1462a, 0x20e23057, 0xa9d5e01c,
+    0x00030003, 0x8e2790de, 0xca7fda96, 0x19b807e3, 0xd8f527a7, 0x5b242907, 0x26c2eafa, 0x725292a1,
+    0xdc628488, 0x9b1b81c2, 0x4845a69f, 0xdaae26d7, 0x2ad42144, 0xb11d9687, 0x223f28ee, 0xdbf10186,
+    0x82202703, 0x67b02c67, 0xd258e01d, 0xe77a4b37, 0xd3a1077c, 0xf8d65038, 0x21ecf56e, 0x33ed3ae2,
+    0x3f7a3a33, 0x68f10f39, 0x76dd76ff, 0xfa8ee7f1, 0xd7d2d410, 0x9719f124, 0x190d6610, 0xee0641e4,
+    0xbca871bb, 0x73d1b9b9, 0x1fd603d7, 0xca352e67, 0x2a5576bb, 0x0b30cd22, 0x2f36f92c, 0xae084f4d,
+    0xbec5082a, 0xb3bc7e82, 0x52bbe3ac, 0xfa48310a, 0x2b0afa1b, 0x3b995a72, 0xbcd1d44d, 0xba4eb97d,
+    0x53ba531c, 0x17f62930, 0x79bbeca8, 0xd9c1b0c6, 0x9045498a, 0x1d920eea, 0x7f319ecb, 0x99042cf9,
+    0x1c60b061, 0x6b11caec, 0xeefe25ec, 0xd4334eb2, 0xafd9a1d9, 0xefa72aeb, 0xbf0aff97, 0xd098496d,
+    0x9f79da79, 0x967d310d, 0x1186fd67, 0x06c9776c, 0x097a6e1b, 0x7f123e7d, 0xf191c1e5, 0x546fe0da,
+    0x6876ef5d, 0x40679af5, 0x0166603f, 0x9351c0ff, 0xf2c3a2dc, 0x745e0170, 0xc17b69b5, 0xbec2e015,
+    0x7bd1f426, 0xee7bfb59, 0x52bf8be9, 0x23235777, 0xf6cf1cb5, 0x5c7dc3a8, 0x284df699, 0x1289dcf6,
+    0x858b89e1, 0x860ca71d, 0xe73a756a, 0x3c7b77c0, 0xbdc950d7, 0xf13c094e, 0x627db9dd, 0x713cfb76,
+    0x72e9f044, 0x06e2325b, 0x5a2e5077, 0xe6b4ea1f, 0xdfd35a21, 0x75ee33f2, 0x9bc03017, 0x47162db7,
+    0x73734c7c, 0xb7ded838, 0x936fe21b, 0x6784c28a, 0x89043efe, 0x5cb58433, 0x1276e5d0, 0xf2ea9b9d,
+    0x9aa184a8, 0xebe9dbf0, 0x493626e5, 0x8a68472d, 0xce59ebaf, 0xa6e9ee88, 0xfafadffc, 0x33d87227,
+    0xfa8d2eab, 0xa2ed2224, 0x3b173004, 0x220d2c9a, 0x0d270e75, 0x10517992, 0xa3d302e0, 0x6e39317b,
+    0xee59cc45, 0xd72c1891, 0x7abf15cc, 0x7400d89e, 0xa4a12dd5, 0x3fcd8f76, 0x5b28ab5c, 0xc562c597,
+    0xe6921eb5, 0x26b72b15, 0x1f7720fd, 0x36255e24, 0x77369b8e, 0x77c80ab4, 0x2a2dab3a, 0xe25427ef,
+    0xc1304849, 0x28607ea5, 0x61f92e8e, 0x33d5af93, 0xc15c8466, 0xe3cd3db7, 0x6e40ab3f, 0x95345d7a,
+    0x2de6ee9e, 0x6be56edb, 0xe487ec92, 0x8ac21971, 0x61861e75, 0xf2e88576, 0x84e577c1, 0x878b05d4,
+    0xdd1f172a, 0xfe79d66a, 0xe348bf40, 0x24a969aa, 0x889cb8b4, 0xd69f3227, 0xbd78b5ef, 0xa21f49cd,
+    0xfaf30116, 0xabaa8ef7, 0x2ab559a0, 0xddaf146d, 0xaec21b1b, 0x04eb9e87, 0x8e26fa48, 0xb842d203,
+    0x085b14c1, 0x0a8dd35f, 0xf3cd7e45, 0xc6b34577, 0xc2a1ccda, 0x822da067, 0xa134950b, 0x936cf785,
+    0xce6c75e0, 0xdb2502ec, 0x98c3de9d, 0xa4d1db4e, 0xa1820971, 0x60870eb9, 0xd8b7162b, 0x59379c88,
+    0x3eb08c8f, 0x1582a74d, 0xdc67a0cd, 0x5de8c8ed, 0x85b5ec72, 0x1b137ad7, 0x03d93f0f, 0x5c34f72f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000158456325028528675187087900672 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf9, 0x24afdbfc,
+    0x00000000,
+    0x9473dcd4, 0xb1c30b48, 0xf8463bb9, 0x2aac7873, 0x4ab14d6e, 0x5b9118b1, 0xcdcf659a, 0x31ed97e1,
+    0x996c6500, 0xbb9e83d9, 0x279358f6, 0x42d96175, 0x4c13db28, 0xc1355ceb, 0x0cc060df, 0x28d01c08,
+    0xe8dc27db, 0x34f820fe, 0xa8dae1f0, 0x6285d24c, 0xffab6de4, 0x5b46862c, 0xec917b72, 0xc534baa2,
+    0x7461b8d5, 0xa780307c, 0xf89cf9cd, 0x1146cde8, 0x2dde0c98, 0x0b26f0a5, 0x1edd4ea6, 0xd7e6a5ff,
+    0x23b5c155, 0x1d5673e3, 0xba248bc0, 0xc9866d77, 0x8664b1ac, 0x8446bb95, 0x96395552, 0x06e36e14,
+    0x549e6b71, 0xfeaa6110, 0xa64f82f8, 0xa9b5368c, 0xdbf95994, 0xc79035e2, 0x8a4fc547, 0x607f683b,
+    0xf6170768, 0x0e9f2974, 0x609448e9, 0x927887e0, 0x527bd390, 0xc312c401, 0x06900af7, 0xa02ba27c,
+    0x2161e431, 0x640d2c85, 0xfef9a80a, 0xc5af4890, 0xbd11c5d1, 0xcc343854, 0x2ed0d3de, 0x17630696,
+    0x1d49cd03, 0x1ef1754e, 0xc3c60d75, 0x329f0c46, 0x354239e2, 0x02ac182a, 0xfd2f94f7, 0xe1853b69,
+    0x27b28249, 0x55649242, 0x9ba52c91, 0x602b2269, 0x6212266a, 0x62e93f4c, 0xe2fe4eae, 0x175ab59a,
+    0xf0a91d5e, 0xc2d953c2, 0x960c6797, 0x67b20a38, 0xc4fb2ec5, 0xb335677e, 0xe51b8b93, 0x215b6763,
+    0x90f9d97b, 0xe065180f, 0x1c5d60a1, 0x62b5ef52, 0xf8afdd54, 0xfef0bdb9, 0xd01958dd, 0x7a6c9c44,
+    0xc9c663a8, 0x991b275f, 0x94681503, 0xc089b35d, 0x481de56d, 0xdeaa5982, 0x3282f888, 0x611fb314,
+    0xef9f66d1, 0x0e02bab7, 0xef5f756d, 0xa8ee6011, 0xd4b4d676, 0xa33d8abb, 0xef34187b, 0xd3f3f259,
+    0x3eca35fa, 0x82bd35c3, 0xd978d7f0, 0x4fc13908, 0xad9401bd, 0x774a9356, 0xb6b6ff6b, 0xe3cd3440,
+    0x6ef4d0c3, 0xa295692f, 0x0ab8ecc4, 0xb932c8fc, 0xcbbd941e, 0x603f828c, 0x5556e292, 0x6bfd006d,
+    0x7b559825, 0xfd956585, 0x609aeda0, 0x8eefe9f1, 0xf47b2771, 0x62190e51, 0x50f82385, 0x68abb564,
+    0x5b258ca0, 0x7f3f70dc, 0x801db36c, 0x3577174f, 0xd40e8613, 0xf77dafea, 0xd59e9181, 0x03b20bf6,
+    0x494be6d6, 0x808298fb, 0x4d5f91a9, 0x2a7c9d1e, 0xbe80821b, 0xb288c13d, 0x8150ce40, 0xa25d0780,
+    0x662b1ac4, 0x9383c155, 0x866c0f3a, 0x225b9111, 0xb7282ae3, 0x8d4b3f6a, 0xf12202dc, 0xe7ee7087,
+    0x65f10b5a, 0x98d8bf66, 0xe0041ab6, 0xde223d2d, 0x9e1e31fa, 0xdddd8b6a, 0x63f49c5b, 0xf71f23b6,
+    0xbc2dc70f, 0xca47e5ad, 0xdd593039, 0x437e989c, 0xc8bf7c16, 0x3d9b0fa7, 0x53d0ebc7, 0x1ce980f1,
+    0xb9bece6b, 0x67eb4d63, 0x9a8f3084, 0x8ac404d3, 0xee0921c0, 0xb8cd183f, 0x8ad3afd0, 0x7e37d621,
+    0x07234168, 0x27500534, 0x7490a49d, 0xc3dbec16, 0x82dac3fe, 0xc011a24e, 0x2da48020, 0x66e3173e,
+    0x77055479, 0x193e264b, 0x1fcce47e, 0x0db64439, 0x57a71d2d, 0xc74d56b3, 0x034e7df5, 0x8687d1f3,
+    0x68d26f80, 0x91d27cd1, 0x119c1971, 0x8932a899, 0xcd69974b, 0x4cdd1a68, 0xa1ffb009, 0x78572e7c,
+    0xf567cc6e, 0x86410d4d, 0xd8016a64, 0x325bd083, 0x239c719b, 0xd2423454, 0x07f7fce7, 0x6daa97e5,
+    0x9ec99a6d, 0x2a34a238, 0x8728279a, 0xd7fdd12c, 0x83a86d57, 0xcb107c8d, 0x21bb052a, 0x28bb6105,
+    0x6e95ae72, 0xc7fbda71, 0x08215bbf, 0x13584e7d, 0x29012b27, 0x4cb85d7f, 0xe4f30c5a, 0xd8f8363e,
+    0x905860d1, 0x8c55fd67, 0xdb8ad2c7, 0x12c1681f, 0xa5e23e7b, 0xce2f8fff, 0x7f1e6301, 0x7c5ddd26,
+    0x3607b98e, 0x38ae4d1d, 0x50e9ee32, 0x75d6b81c, 0xf03f7027, 0x90c182d8, 0xc38df7ed, 0x41da3e00,
+    0xed766df1, 0xf6e186c9, 0xa1b906e0, 0x30614afe, 0xf041a030, 0x06ae2175, 0xcea9d004, 0x967f546e,
+    0x7044916f, 0xb311034c, 0x2a4392e8, 0x9be65ca8, 0xcfa54dde, 0xc8eaa81a, 0xf78aadd7, 0xc53038f8,
+    0x564ab2ed, 0x018bc2d7, 0x898a2d99, 0xfbaad6a9, 0x0016c487, 0x8a95447d, 0xca87b965, 0xbd773c3f,
+    0x94be84ba, 0x41a86cd6, 0x3212b151, 0x030d8dab, 0x479dde13, 0x8482da67, 0xcb0434ff, 0x77719b1b,
+    0xad1c000f, 0xdc8379c2, 0x201cc35b, 0x76b52217, 0x7e330011, 0x5af92c04, 0x74d36a24, 0x176bead6,
+    0xcb4eb879, 0x0726005f, 0x8ff8dbd0, 0x3b86ff84, 0x5ca30f41, 0x55f93892, 0x6be36f8d, 0xd0a56dc4,
+    0xed70a129, 0x093340d1, 0x13f77d1d, 0xf1625502, 0xa8a9798d, 0xef2dfa4b, 0x6fab7498, 0x8da740f0,
+    0x033f85dc, 0xda2735c9, 0xd2dd23d6, 0x8c5a8a9e, 0x091aa202, 0xd418ec9f, 0xc3be09c8, 0xbb285acd,
+    0x3daeb6b5, 0x8c81bc3e, 0x320ce5b4, 0x537f544e, 0x0ef7a788, 0xbafd1df6, 0x6ad9784c, 0xe971f6e0,
+    0xf6559946, 0xff99af63, 0x4c4ea7fa, 0xfc5341a6, 0x8cddf596, 0x48eea77c, 0xe47c0a3e, 0x2e48c352,
+    0xa47a8b96, 0x667a3374, 0x27b926c9, 0x4d25bfbf, 0x34a464d0, 0xe4b87235, 0xdf909bcd, 0x01938369,
+    0x9532f082, 0x15a6fe11, 0xfb12f39f, 0xc1a31491, 0xc6a0f1c6, 0xd0690971, 0x42c2348d, 0x18c939e1,
+    0x752d2402, 0xfa9ab3a6, 0xca94f2b3, 0x8f986030, 0x95d91921, 0xef9c36cc, 0xfb98081f, 0x57fbc1d4,
+    0xeeedeb38, 0x0e066d52, 0x78403188, 0x915bd200, 0x400e2d37, 0x909facbf, 0x9658acdc, 0xda3c6390,
+    0xe6575977, 0xe85fd589, 0x72d2f31b, 0x8d47689d, 0x8ef32079, 0x3339f23e, 0x6f5a6798, 0x127ca675,
+    0x529847a9, 0x98bf551e, 0x3e2ba6f0, 0xe2c9a822, 0x624320df, 0x0e8f19ee, 0xa68a9f30, 0xeb558f0d,
+    0xf61bceeb, 0x42554132, 0xb39026e8, 0x7f5ca1c1, 0x22f324eb, 0x6cfdf28e, 0xfaf11e4c, 0x57eaaaf6,
+    0x365d0021, 0x6c928d26, 0x991be156, 0x63e26682, 0xc425bd49, 0xf47aa719, 0xc5d59509, 0xa9bb27f3,
+    0xc33a0801, 0x80257385, 0x6486ee66, 0xb92ce008, 0xd214d14a, 0x3a665f27, 0xef641aa0, 0x65aa325f,
+    0x969b004a, 0xd94b9ccb, 0x35eb1864, 0x6ab95c6f, 0xc928030a, 0x4f1a1752, 0xae8bd71a, 0xd8ec19a2,
+    0x0f57a63b, 0x140f4898, 0xe73a230d, 0x8f87d65e, 0x928a8ab6, 0x80f21873, 0x8fd5847c, 0x8262bddc,
+    0xe1bc56db, 0x3a456dd4, 0x5d4f00ac, 0x8ec331af, 0x3e9e2df0, 0x8f6f9157, 0xbb088ea6, 0xd4247db1,
+    0x23434e61, 0x0bf6b803, 0x03cfd307, 0x84eed2ac, 0x704f4b8a, 0x07da3eee, 0x198217f5, 0x424002b7,
+    0xc8c6b91d, 0xf0f4898c, 0x299d4955, 0xde3b60b0, 0x25a7ffd2, 0x958ba40f, 0xdf8be21e, 0x7e1cf71e,
+    0x283568fc, 0x1f05d040, 0xab805991, 0x3901a23f, 0x7dae3fdb, 0x41333c05, 0x4c3614cd, 0xe8237dde,
+    0xd5a315f9, 0xe1fdc075, 0xe2696683, 0xf1f2bfb9, 0x76a35158, 0x6e1a3cd8, 0x3a32fa4f, 0x619c3a57,
+    0x9e049f1c, 0x2a03376b, 0x5ddecb65, 0x9ec81c4b, 0xc184e7f8, 0x4c593a2a, 0x581a2644, 0xe478f0f2,
+    0xa73195cb, 0xa5b747b1, 0x1630a4f2, 0x0e5b5baa, 0x9ad1346f, 0x404f3a0a, 0x347077e6, 0x4e3f52b9,
+    0x78e94dca, 0x7b22fd6b, 0x22d85d56, 0xdd19ef2f, 0xed4b38d0, 0x79b2bc41, 0x9404b02a, 0x4d450e65,
+    0x39ff958d, 0x07a465ea, 0xb09840fb, 0x2eb124a3, 0x6cded02a, 0x7c1f696f, 0xa0ee92b6, 0xc11858f2,
+    0x68563871, 0xa936c23c, 0x87dd26c1, 0x5613f2ca, 0x93894da6, 0xa4b4104d, 0xcbc70ade, 0xbfd2f33d,
+    0x410b232d, 0x14993dbe, 0x6aac03b6, 0xf04e9100, 0x14f40519, 0x0d29a280, 0x239a56ac, 0xbe379316,
+    0xdd0f8fba, 0x66781fef, 0x5ca30f77, 0xb6dd9b1e, 0xf0bf8ba3, 0x3e5f3e50, 0xc0259b54, 0xbabb0ace,
+    0xe4c9076c, 0xe1e6114d, 0xa4f0424a, 0x3c57688b, 0x47b59c51, 0xc126f42c, 0x389f7a59, 0x51a7a9b6,
+    0x108d4557, 0xe7db117f, 0x0b6cfb9b, 0x3e2fc8a2, 0xac0ada84, 0x86c35a9c, 0xd59bfcc0, 0xa02973ab,
+    0x5ab0eceb, 0x7a6ae620, 0x20714bb3, 0xce993913, 0x75f48dc2, 0xef962b8c, 0x739c1bf9, 0x82a24966,
+    0x9db852ec, 0x6847920f, 0x815f1206, 0x259bf821, 0xc671819b, 0x48f14082, 0xa5baf0d5, 0x703b323c,
+    0xa6b45c7c, 0xbac97f33, 0x4d13cd05, 0x73ec1965, 0xb36f8796, 0x7a528b9b, 0x8c355761, 0x86b8ec59,
+    0xf30b8a74, 0xaaf4a87b, 0x5a4d68eb, 0xd01b67b8, 0x623da92b, 0xdb163bf1, 0x4e84ee1a, 0xeec4be38,
+    0x43248bca, 0xca742bbf, 0xd2fe4229, 0xed95221f, 0xc895da6f, 0xc4b06d95, 0x325d0689, 0x0e032385,
+    0x1ccae07a, 0x8c3c5873, 0x8463718b, 0x53048674, 0x0cacd76c, 0x0bc9f4d4, 0x352596ea, 0xca7dce7a,
+    0xe0c77d9b, 0x7f7ddcf1, 0xdedad88a, 0xaa1161b9, 0x31e6430d, 0xa8665712, 0x32eae088, 0xa366e2c1,
+    0x47d2dd59, 0x33b210bf, 0x8513f235, 0x35ece798, 0x6d5b6567, 0xc64fcdf3, 0x15e1e093, 0x0ad87bee,
+    0x9174e51d, 0x91e53e7f, 0xaf451540, 0xb5da5c99, 0x76c56c1f, 0xb8c83c45, 0xe52eb507, 0x71474056,
+    0xce6d05c2, 0xab10a939, 0xadb0f7ca, 0x29c56aec, 0x723d7be4, 0x35ba9852, 0x5fbbca7e, 0xbbb85548,
+    0x88ce4148, 0xa607eb4c, 0xdc73bbc2, 0x6bf318d3, 0xa46e4994, 0x49a50cca, 0x2eaf8c01, 0x81eb41c5,
+    0xdfeb566a, 0x1ca7bd2a, 0xf2b3e400, 0xd698daa4, 0xeedc4819, 0xa4505cb7, 0xb262de69, 0x6b24768b,
+    0xce2eac5d, 0x7f725686, 0x93c495e3, 0xb9cae56d, 0x7e16a5a7, 0xa4d4cac4, 0xc14cc2d5, 0xd5faecbf,
+    0xc3153531, 0xef83fd94, 0x18deef47, 0xe2010e4e, 0x092cf100, 0x527296e0, 0xdd69ee8a, 0x1295b803,
+    0x093c0d6c, 0xd0465035, 0xbab0232a, 0xd810a436, 0xca73e1db, 0xf662aec1, 0xc922bc3b, 0x7aac75ef,
+    0x4b0c8529, 0xf1edadea, 0x9fb165f0, 0x5db7b26c, 0x69ad437b, 0x7949d3ca, 0x13f6df0a, 0xfdf0eb59,
+    0x66e7d115, 0x9f158a7c, 0x017d4288, 0x6f3f68a5, 0x7063b72a, 0x6539e356, 0xd53da5f7, 0xa864afb5,
+    0xdc2d0563, 0xa7405088, 0xa698d6ba, 0x6916da00, 0x976b5e81, 0x3d0141a3, 0xbe094454, 0xb075a4ab,
+    0xb6e4faba, 0x3033812f, 0xb6657032, 0x535fc17a, 0x87f7fb54, 0xbf94ebff, 0x2ee1762f, 0xbcb673c4,
+    0x1c92bce5, 0xa77762c7, 0x3da1c761, 0xda34e860, 0xabc9d219, 0x199febbf, 0xcd6426ef, 0xe65d5f27,
+    0x999ef0b4, 0xedf6aecc, 0x56bf0695, 0x4d0ca20d, 0xb23f22ff, 0x56e020e2, 0xa3bae8a4, 0x2fa8f54e,
+    0xa13228e2, 0x2c00c0a5, 0xf1ec52e4, 0xd94dc653, 0xd83a2137, 0xdc0fbf45, 0x33db46c1, 0x206f3b18,
+    0xf2067750, 0x1bea7294, 0x4a78cd7b, 0x7795673b, 0xff4f1f31, 0xee3c7376, 0x99cfc2c3, 0x99d21d42,
+    0x363d79ad, 0x1fa8ca42, 0x3dce4fe2, 0x4d2d5e35, 0xacfe7c94, 0x6310c780, 0x9fc298a2, 0x3ad9e3bd,
+    0x9f909a6a, 0xf02bd339, 0xa7191e2d, 0xded24a98, 0x8b7f73fb, 0x909e0da0, 0x8207a374, 0x0d2b8f4e,
+    0x822514ac, 0x78d99df9, 0x7bdef0da, 0xc8a8eeb6, 0x44122d16, 0x642fc77a, 0xf2808405, 0x08165b09,
+    0x5e1fba7a, 0xeeb1b943, 0xa4fb5fae, 0xfd5d1d1e, 0xed552ed9, 0x4658f7ed, 0x2b20a6ab, 0xb104e869,
+    0xd71837a6, 0x097ff50b, 0xceb7bfb3, 0x4a7520d0, 0x32ffce91, 0x500f34d3, 0x554f53da, 0x1679f3c8,
+    0xbb7694ce, 0xe1d03c0b, 0xfa563b3a, 0x5dafa85c, 0x86d4dd3e, 0x67885260, 0x547d56e3, 0xfec605a7,
+    0x6ab1a6a1, 0xc57d8dac, 0x4811e2e7, 0x05bf1ced, 0x5209527d, 0x063fee88, 0x5e853bf1, 0x9e76fb74,
+    0x11eafe47, 0xeb1b698a, 0xe3a88fdc, 0x2c341fa3, 0x99ede570, 0x4e308a00, 0x3d19c8d2, 0x668362ce,
+    0x964b3e65, 0xe9142a3f, 0xdc4ac04d, 0x52ac2f13, 0x9f7a52dd, 0xb16ff032, 0x52352c32, 0x36b4a35a,
+    0x3fdd00f6, 0x8f657c1f, 0x976fafda, 0xbee98309, 0x26378357, 0x43c658ed, 0xf1b3fb63, 0x54c4d2d1,
+    0x5937ead0, 0xd4823bc7, 0xb37d984c, 0x93b77d13, 0x83665756, 0xd5e51a21, 0x7ffc1811, 0x369824e3,
+    0xa65ee1af, 0x91640b8a, 0x45710031, 0x375610ec, 0x2ac0d11e, 0xe86d9a1a, 0xdf0ec638, 0xd01c5464,
+    0x8464a7a1, 0x4c34d423, 0x93c97aa5, 0xf1457b5b, 0x5ef3cb76, 0x6a26e282, 0xd65bf93e, 0xda794111,
+    0x108fc047, 0x5fc78046, 0x6d26a169, 0x542fc919, 0x28298bc7, 0x206d92e5, 0x0765a871, 0x04e2020a,
+    0x9c554d8d, 0x6c21aa4f, 0x2934e9d7, 0xf40ee9fe, 0x4296561a, 0x72fcba38, 0xd708b8b5, 0xdc4eb92b,
+    0xea46903f, 0xd8ee3fcb, 0x23728aa1, 0x1022d64a, 0xa8a0cb32, 0x2874fc60, 0x1dcd32c4, 0xf98f84ad,
+    0x6b601542, 0xba28a44b, 0x7cef88c2, 0x36c57eaa, 0x2d2fa885, 0xc67aa68e, 0x019b6477, 0x65dae121,
+    0xd8a5916d, 0xb8594109, 0x5478244a, 0x23864c18, 0x302fa428, 0x3e2fa9d2, 0xa786cede, 0x9b87837b,
+    0x97969806, 0x3ed06d40, 0x82d40871, 0x3d32d1f6, 0xc44299c1, 0xbac876c5, 0x423f6284, 0xa282d82b,
+    0x63f8f722, 0x7a9f5022, 0x38eb446e, 0x105bab80, 0x38028d5e, 0x0d48fea9, 0x084fc92d, 0x47a490b1,
+    0x362c64af, 0xa4dbe8eb, 0xe2ee4f1b, 0x48dc4947, 0xaf690be8, 0xf11f8271, 0xac9235c1, 0x1a929bee,
+    0x0da43c08, 0xf58911d4, 0x5bb15fd8, 0xd0d44e21, 0x4458d351, 0xd8dcc75f, 0xd7437447, 0xddad9053,
+    0x8f5573f9, 0x04545f77, 0xc56c24e5, 0x32f6a345, 0xbf716474, 0x2a2efad1, 0x52d382de, 0xca70d7c7,
+    0x705bd3b0, 0x3a49d5d7, 0x37ff92d0, 0x57c02dcd, 0x6abd9d47, 0xa11aab29, 0x75bac115, 0xf906cc6f,
+    0x482328f4, 0x45f33051, 0x072a2c5b, 0x15a21c9e, 0x38947dc8, 0xbc0cfab1, 0x2258071a, 0x212f23dc,
+    0x6ba36759, 0x6d3d01bc, 0x08180dbc, 0x8ce39a39, 0x52e24e08, 0x56672818, 0xf3bc6e54, 0x97623b34,
+    0xed2b3dbc, 0x07518c74, 0x08fa7276, 0xfae22edf, 0x081cde53, 0xdcac4d10, 0x1f5b705d, 0xf3ae2db2,
+    0xc328a878, 0xa5554b53, 0xa9b0b160, 0x445c5bf4, 0x2af328aa, 0xae607682, 0x4de46f21, 0x5c922bd4,
+    0x1c657029, 0xf4b02877, 0x565a25fa, 0xfe6bb76f, 0x76be65d3, 0xfc9c8393, 0x61a391c4, 0x3a7975fb,
+    0x90ff5815, 0xd17b5ecb, 0xe35640e9, 0x8a07973d, 0x431fa73c, 0xd6b05098, 0x78df38f4, 0x509de648,
+    0x81c66549, 0xc945b665, 0x3886eec4, 0x9c9a712e, 0x875a398d, 0xd5f72260, 0x21a6ce3b, 0x55852a21,
+    0xe532136c, 0x5875568f, 0x8c18dbae, 0xf5bbf8ca, 0xfe7f3593, 0x1493ea8c, 0x97c657a8, 0xa145e781,
+    0x17c997fc, 0xc8f3cd42, 0x5c3b5114, 0x8780fd99, 0xc4832617, 0xb828d9eb, 0xc4ef2981, 0x84483690,
+    0x9919e203, 0xd4623ff0, 0xa62db9f9, 0xdc8b7e0c, 0x655427f2, 0xf8ef1227, 0xc0066f21, 0xaf1662ae,
+    0xb83dfb86, 0x3a5efc0e, 0xd9647126, 0x64528de2, 0x84fff976, 0xe6616211, 0x754eda7a, 0x7a4df981,
+    0x8945b453, 0xc84a5e0f, 0x47f92a2b, 0x7e8a72a9, 0x6308c6a4, 0xe78a380b, 0x97e5dda8, 0xf6b51796,
+    0xccd65040, 0xa96807ca, 0x1bd85c04, 0x74ffb242, 0xdec5b1ba, 0xd6a25bf7, 0x464274d5, 0x8bf6426b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000079228162514264337593543950336 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fc, 0x9257edfd,
+    0x00000000,
+    0xc2f21f8f, 0x2ef44f21, 0x7453d9c4, 0xc3707af7, 0x0e7d6305, 0x816189a5, 0xd9e9a932, 0x83d8bc82,
+    0x81258d4e, 0x524ddb94, 0x5d4133a6, 0x3c0245c8, 0x3aa85174, 0x11b3bd61, 0x65aa8e58, 0x7dd8887e,
+    0xf2db67f3, 0x224f6da9, 0xbf00fbf1, 0xacb7371c, 0xe572c997, 0xaad1d87a, 0xcab43bc8, 0xea1e0238,
+    0x3f311fb8, 0xe9e32a94, 0x8fcbf505, 0xaf3e2882, 0x0cdf604f, 0x520f63a9, 0x2abc2beb, 0xced6e6d2,
+    0x5508d5fb, 0xdd60622e, 0x2e96df62, 0xe8246d3f, 0xa05b0154, 0xe18b753b, 0x60f21758, 0xfea43aad,
+    0x199f5b26, 0xcdf3b5cf, 0x813b2f09, 0x5c0ea687, 0xb9a6c819, 0xb5c396f6, 0x9602f31a, 0x63b85694,
+    0x2b190490, 0xbebaaae9, 0x8491fe30, 0xc3a917e7, 0x649c5693, 0x01c3e7eb, 0x2d47ac9c, 0xff2a9992,
+    0xc4f6d6a2, 0xe8068efa, 0x2c9b9a44, 0xc00cf47d, 0x511c736b, 0xe914e23c, 0x4869917e, 0x529cb3cc,
+    0x9d259e78, 0x10f88494, 0x411dcd3a, 0xc6f1c3f0, 0x967e7e69, 0x149b8cb8, 0x8ef78430, 0x1683a9b4,
+    0xf041b8d7, 0xc7caf295, 0xdbada1f4, 0xccb3eaff, 0x18db3170, 0xf553d433, 0x377944ff, 0xdd5d2a68,
+    0x3042d5b3, 0x207226a1, 0x6431255c, 0x5416d468, 0xf53887ba, 0x0b320b05, 0xb143a271, 0x38d41b57,
+    0x07d59898, 0x8587d682, 0x23e3065b, 0x754f38ef, 0x8a393ecb, 0xe19a83a0, 0x86c47fbb, 0x26aaa5b8,
+    0x80cb7d40, 0x83537ef2, 0xf287f36d, 0xddead58e, 0x6520e2ce, 0x6a378bd5, 0x1b1f4bfd, 0x22e8f292,
+    0xbcdf1096, 0xe824e7b7, 0x0918f76a, 0x200a3bd3, 0x157da593, 0xf44267d8, 0x265757fd, 0x1b6faab3,
+    0x4918d1e1, 0xa820910f, 0xb8f45953, 0xbd78e797, 0x8abbeb03, 0x9727a739, 0x5c0dde3b, 0x80e09d4e,
+    0xb63cd024, 0x1c54f7af, 0xaac2e8f4, 0x522dcc50, 0x6535cdb4, 0x0990f69e, 0x6069d0e6, 0x2092e7c4,
+    0x5079b400, 0x58eebf9e, 0xab6875dc, 0x2e903cd8, 0xce92e7e2, 0xbfe5c214, 0x6b98fe37, 0x13033701,
+    0xfd39b561, 0xeecef17a, 0x04b868f8, 0x042e1727, 0x175ac8e3, 0x4c34052d, 0x6a630640, 0x29280acf,
+    0x1d9cf19a, 0x0cb60932, 0x2cffe8fe, 0x841e5ff1, 0x6c595fab, 0x83f56c38, 0xbdd54eda, 0x4db68792,
+    0x4846d63d, 0x6207fb99, 0x3f08a47a, 0xd9a7d917, 0x1ffe7bae, 0x5254d7bf, 0xf765eec7, 0x0ee6785f,
+    0xbe3b474b, 0x2ca5cae4, 0xdf07b93c, 0x1e05155f, 0xc4c15694, 0xd9b333cf, 0xaee63e90, 0x7fadc6cf,
+    0xcc51258c, 0xe0488743, 0xf3ed0e0b, 0x1db92cd7, 0x83804ec1, 0x1bd9d3d8, 0x2015aa6a, 0x7d05ed5e,
+    0xc571dc0d, 0xfb3fd8a1, 0x3427d983, 0x264132e6, 0x4d1f6ac5, 0xce27e46b, 0x8d333645, 0xef4d58bb,
+    0x63d5ce1a, 0x87b7e50d, 0xa723267d, 0x8f164b9a, 0x01df5c08, 0xdc1c9e90, 0x63d2693c, 0xb253bf53,
+    0xb601bc3b, 0x4321c9e3, 0x2cd6ab67, 0xb041957d, 0x9a499cb2, 0x1a0de539, 0x00306e84, 0xdca8b10b,
+    0x8a1c337a, 0x3528122c, 0xfb505423, 0xf39bcb2f, 0x6b9057dd, 0x186eac23, 0x5ad8e2c4, 0x1c47b20f,
+    0xdb6f448f, 0x1ca67adc, 0x019dbc61, 0x3a13b24c, 0xb82374c9, 0x54b96354, 0x23306b4c, 0x8ba5cc5f,
+    0xcf79950c, 0xeececd95, 0xe18c359a, 0x5791547d, 0x96a78555, 0x294fe296, 0x949d5ba1, 0x28fac5bc,
+    0xc468b319, 0x08359c8c, 0xc72ae922, 0x4e369742, 0xb4f55b7b, 0x6346341d, 0x60a990c9, 0x2bd7f87e,
+    0xcb61f451, 0x6abf983d, 0x32f58860, 0xb67db873, 0x7ab1f052, 0x35fa927e, 0x6b872fc6, 0x92f5a6c7,
+    0x8bc2dec3, 0x5dda0618, 0xe28d2fc9, 0x03349ea3, 0x5153d86e, 0x9d1aabef, 0x3e3169fa, 0x1779a213,
+    0xb25a7bff, 0x970a5636, 0xe65044f0, 0x66b582fd, 0x4ca7e262, 0xee7cd9c0, 0x016d2414, 0x4e0806e6,
+    0xa5b40b95, 0x3ef6f795, 0xc0f7d028, 0x28142c45, 0xa01ffd3d, 0x8b87445e, 0x65a2e3f8, 0x4295aba7,
+    0x517727f2, 0x8c752aad, 0xbe7d4984, 0x1e1a068d, 0x118e8a66, 0x76b6d2b0, 0x06ff4ac3, 0x33f93c2f,
+    0x9228196b, 0x397557cf, 0x21c8a7f0, 0xcb8d216f, 0x062831b2, 0x7f70af39, 0x13dd6ad4, 0xf2529a92,
+    0xf69cc20e, 0x8e1d7c95, 0x63522aaf, 0xb306d555, 0xb61a8152, 0x50a1b4ee, 0x7e88ef05, 0xe9401a3e,
+    0x6a8e473b, 0x026e0337, 0xa951499d, 0x714c5d78, 0xa1364e70, 0x64a3e06f, 0x976f7be7, 0x009a01b9,
+    0x0fe06ef3, 0xa23c9d87, 0x7cb988eb, 0xda878105, 0x0375458b, 0xb85733ac, 0xf66e71bb, 0x4f031106,
+    0x7b285aa0, 0x999edb08, 0xd821f764, 0x484cc42a, 0x4ce2cdd9, 0xa8b1cffc, 0xb2860e45, 0x50eedb88,
+    0xfed365a4, 0xdcd8fb1a, 0x89361e37, 0xd0958e8b, 0xe79cf896, 0x1c25d01f, 0xa3ea7588, 0x65d74aa9,
+    0x7ce51959, 0x68bde515, 0xcea228da, 0x50a68716, 0x2444429d, 0x1a41faba, 0xcbfa5400, 0xfda44863,
+    0x56dedb36, 0xb9357477, 0x0860cc99, 0x9ea67bd4, 0x66de8d96, 0x298e77fd, 0x0c2333f4, 0x7677201c,
+    0x8b5da413, 0x1fc6a5d3, 0x86a5d236, 0xd32c74cc, 0x8520fd43, 0x29f6999c, 0x7733d620, 0x48b287fc,
+    0x5ec2686a, 0x00a7c341, 0xe2fb7218, 0xde3cdade, 0xebc1237a, 0x3370d5f6, 0xf9e8cd1c, 0x423fe0d9,
+    0x3f26b919, 0x1294c0d9, 0xc65be081, 0xf6a8817e, 0xb770f820, 0xbfa770bb, 0x62654f6d, 0x6cae8a28,
+    0x9cc29f44, 0xfd5e022c, 0xb061cd9a, 0x2a8b7778, 0x64109e3a, 0x765b51db, 0xc6aa638b, 0x3451c6da,
+    0xcff4dcab, 0x3c334744, 0x80a7dd29, 0x1bb33995, 0xfc869467, 0x82851853, 0xe52081cb, 0x26074af1,
+    0x8dc1994c, 0x7fda07d9, 0xe3246f50, 0xef5979f0, 0x2d5e49e2, 0xc1e2ccf5, 0xfae5ccce, 0xd30f5dd9,
+    0xbb38c843, 0xd623c588, 0x05c23a4f, 0xc4538ca7, 0x42763d8e, 0xb408c9f3, 0xc5bd4807, 0x2c9b7d11,
+    0x5b5b0493, 0x7a4e1700, 0x05be5302, 0x616a9682, 0x5cb436fc, 0x1761cdaa, 0x0a0ce518, 0x4c54f4b7,
+    0x06c0a26d, 0xd8c8544d, 0x54ea5faf, 0xa42a4f76, 0x22030f8f, 0x2b43f54f, 0x9f7729f0, 0xd73a14e8,
+    0x47f8bf68, 0x5cf4707d, 0x0cea8a8b, 0x25071181, 0xa04d2d28, 0xfcf53814, 0x65352c7f, 0xf93c6960,
+    0x4e3cfcd0, 0x7366b5bc, 0xbb6c9fd0, 0x2c1cbf11, 0xec373c29, 0x3f519c5b, 0x86e078ac, 0xf82e4933,
+    0xd1aebd58, 0xf1871815, 0xdb182b2a, 0xdc4063da, 0x06a8fa79, 0xbf667720, 0xf3a1c857, 0xc5c7b227,
+    0xefd09183, 0x7cbd719a, 0xcff90694, 0x591c1a8c, 0x1c9eaf84, 0xfd214415, 0xbbe15821, 0xc548795d,
+    0x28aefb4a, 0x6c06fb86, 0xc5dd0687, 0x2d61b407, 0x5310f6dc, 0x67832ddf, 0xf2a1e8d9, 0x5dc4776b,
+    0x0bf5e25b, 0x00926e56, 0x5c0d65f1, 0xf0030f2c, 0x65aa184c, 0x7323d74f, 0xb7e91293, 0x628c89e5,
+    0x59d10687, 0x296388ac, 0xdecd4601, 0xa2a63d01, 0x14fa2654, 0x38eb9bb7, 0x27f9b7d7, 0x3cfdf9c6,
+    0xe4768983, 0xec9178c7, 0x7dd70edf, 0x75cabc32, 0x53f6b8e8, 0x40ff1f90, 0x556f42af, 0x6fe1c27c,
+    0xab5dc8bf, 0x9f3ae64b, 0x852236c6, 0xf8329ac2, 0xae967937, 0x293fca94, 0x1c1bc109, 0x132cefdd,
+    0xe27088a7, 0x2327f82f, 0x823b3600, 0xad84410b, 0xa77dd910, 0x0b9ca545, 0x19486700, 0xf93f9e52,
+    0x5b589958, 0x13c150d4, 0x37c9277f, 0xe9c39e59, 0x90dda939, 0x83c575db, 0x9b3d886f, 0xea373560,
+    0x6deb021e, 0x028534c6, 0x0ccc86d2, 0xb4e83431, 0xbfd5678e, 0x3593153c, 0xae59e5f0, 0x907fc6ef,
+    0xe6603651, 0xaaaf7534, 0x8b5b2186, 0xec562970, 0xb19444dd, 0x52917e4b, 0xaa594d84, 0x90e04226,
+    0x6a53e840, 0xa6663cc1, 0x4cf8d742, 0x39ef2696, 0xcb2e6869, 0xabd3f7d9, 0x2c4ac6a3, 0x31418bd7,
+    0x70468a56, 0xadc58d82, 0xd5a0d770, 0xce02224b, 0x4d4951c8, 0xf580a161, 0xd7c14e17, 0xd779622d,
+    0xaa0451e2, 0xeecde9f1, 0xf0a08082, 0x545542f6, 0x21c25447, 0x3bec3b6a, 0x2210a581, 0x72490b26,
+    0x68f33da0, 0x43d374a0, 0xb1abe233, 0x0fa5e3b4, 0x1dc6ca51, 0x777d36e0, 0xa07f81a2, 0x42865d06,
+    0xb479efd5, 0x8f92c490, 0x4d820f9a, 0x7c7789dd, 0x935f4f08, 0x9b957558, 0x45090c73, 0x1c11d8d4,
+    0x69464c6f, 0x01ebcf49, 0x4ff9d26a, 0x5af8df4b, 0x80dd31c2, 0x349a7d49, 0xf5671599, 0xe1a10748,
+    0x6d9c3015, 0xdd7c7ac7, 0xcfff7d98, 0x44e8f6fa, 0xac933eea, 0xf6a25f3d, 0xf704bb3f, 0x2dd6a930,
+    0x96d2508c, 0xb18e09a8, 0x40b3d357, 0x5a043767, 0xb12c014d, 0xf641509f, 0x1b362ec2, 0x690a2586,
+    0xe4fc5051, 0x91be3b25, 0x85249a06, 0x3c678c2f, 0x36d408a5, 0x92c80106, 0x801b45d4, 0xef016aff,
+    0x68f3b4c9, 0xa8af3037, 0x05dbfd56, 0x906648aa, 0x91975de4, 0xd936aa3b, 0xf583c1fa, 0x49213290,
+    0x0837e59c, 0xc909725e, 0x0cf73687, 0xb3520baf, 0x55da24aa, 0x04b377be, 0xaa5b0dfe, 0xbf2e870f,
+    0x6d331d19, 0x470507f2, 0xf88f3c2e, 0x7898f56b, 0xe6b5c1fa, 0x040f499f, 0x7166d8fa, 0xb95d06eb,
+    0x528f371a, 0x9a9727c9, 0x793107bb, 0xe2c8e67f, 0xed951bbe, 0x4ffd8f39, 0x9ab54e3a, 0xc80fbea8,
+    0xfd58618a, 0x9a24466e, 0xcdb68123, 0x7a4cc685, 0x8b282831, 0xb6740ed1, 0xf11acdc7, 0xd1f264d5,
+    0xa3639a57, 0xdef0a8e0, 0xfc63e02a, 0x56af9f89, 0x1ef66d1a, 0x137a2b44, 0x191141a4, 0x8f77ed16,
+    0x0a45686a, 0xe4c46903, 0x502051a0, 0x8534d1ab, 0x20164995, 0x216e8b22, 0xd1df7951, 0x6828dacf,
+    0xc47202b9, 0xc1c517cc, 0x2b60de2a, 0xd2638d43, 0xe00f8de7, 0xfe2e45db, 0x8b8db383, 0xe85b73ae,
+    0xf66363a1, 0x3370d1c5, 0x20c346f0, 0x0bcdd3a5, 0xd5f8ad15, 0xbe5f1daf, 0x5ae24920, 0x4aab9f54,
+    0x08f3f438, 0xda9f79c9, 0xed29ab87, 0x1c1466fa, 0x46c684e0, 0x2316ea1b, 0x50e599b2, 0x51bd4daa,
+    0x52b91a98, 0x2239b71d, 0x7a6cc362, 0x3c75b0fa, 0x1d3a3166, 0x21456b0a, 0x3736c74c, 0xb536db2e,
+    0x21138ab4, 0x4c643248, 0x3173a57e, 0xf4601f15, 0x9fdd31f5, 0xde43e537, 0xabcb5714, 0x81e30cba,
+    0xf9dfa4ca, 0x7a203df8, 0x0c451cb5, 0x06cacd3a, 0x9a53bb5a, 0x3bb3650a, 0x05f176e3, 0x5ff49876,
+    0x54e290c0, 0xf137317d, 0xe6d62880, 0x037b006f, 0x778e878f, 0x1a8f518a, 0x5655340b, 0x8b600dc7,
+    0x9698c387, 0x635116ac, 0x19f4aa29, 0x51cdf72b, 0xaaedda3f, 0x886c5572, 0xdade05a7, 0xddacda1c,
+    0xac6fc81e, 0xd544f7c0, 0x2de53bec, 0x9e79e452, 0xfe963a1e, 0xfd085163, 0x10b10a3a, 0xc1ef23da,
+    0x200efa45, 0xe2b6da0d, 0xbf36174b, 0x09798fdf, 0x606aa162, 0xdc0b4ba4, 0x66aeef02, 0x2935b385,
+    0x55b26907, 0x2af25865, 0xb88579dc, 0x41eafcfb, 0x397d062f, 0x484fb6d9, 0xea010b22, 0x60e50b3d,
+    0x33cce52d, 0x7ba0631d, 0x2353aaee, 0x9dae1f33, 0x97ca2f7f, 0x9974c4fe, 0xfe4b9e48, 0xf0fde548,
+    0x32795b21, 0x2a4e7b06, 0x386a0dad, 0xe29a91b7, 0x6bc3481b, 0x7eabfc58, 0x77a1850c, 0xbe1a7b09,
+    0xe22f2bc0, 0x902dc7ab, 0x3cdf2968, 0x240c9464, 0xe1dbb954, 0xc7ab2411, 0x91075463, 0x0ac23bde,
+    0x6d427710, 0xc806bee8, 0xbfd410eb, 0x8c9c6892, 0x160911db, 0x5dac17a3, 0x8c924a78, 0x342d37c3,
+    0x46543e05, 0x83d840d7, 0x72beab31, 0xcc6d2b42, 0xc405faea, 0xfc1fde75, 0x9f1826d2, 0x5d4e2dbb,
+    0x8512f3e4, 0xcd19acf7, 0x441c64ca, 0x7e6f9ca9, 0x1966d2ea, 0x98f2a55c, 0x8bf57cd3, 0x2c42d988,
+    0x79858000, 0x9ffb9aa0, 0x71b3ec31, 0xce2a06cc, 0xce1072fc, 0x7c2e986a, 0x7bc7bad7, 0x13f9b184,
+    0x07e18dd9, 0x995eeccd, 0xc0326c62, 0xae8c426a, 0xef92cf83, 0x931deb52, 0x19b8d247, 0x0f69954e,
+    0x4b4f115f, 0x93e37976, 0x70ee8910, 0xbf5fb067, 0x2bdabae8, 0x2de4ece7, 0x587966ca, 0x3774e298,
+    0x1f7b1bfb, 0x87be5b4e, 0xff3b5938, 0xaa8cf90b, 0xd9ba58d4, 0x7b5f28a8, 0x26da556a, 0x5a7eef73,
+    0xb781d6c4, 0x90136008, 0x516cc669, 0xc5c058a4, 0x030b29dd, 0xb3c64c12, 0x56d88b56, 0xca273dfa,
+    0x8799ea70, 0xba58b45d, 0x24ed66ca, 0xac2379bf, 0x2677956f, 0x4c0d4aba, 0x92c40dae, 0x9359b62e,
+    0xd7b6f7fa, 0xf9436c40, 0xf2b240ea, 0x29596821, 0x4d00ecc0, 0x7898fab6, 0xf113edd2, 0x72416569,
+    0x962589ae, 0x3710a2d9, 0x838aa3f2, 0x2f0a25fe, 0x23e76dae, 0xae799f81, 0xe046b605, 0x2ec46681,
+    0xb14c08b9, 0x51db00e0, 0x0eaea663, 0x65b18fb1, 0xaf7be887, 0x5ced26d0, 0x35d74116, 0xd0b5727c,
+    0xee09e701, 0x2b287676, 0xede824df, 0xc8ec56c7, 0xf07a5022, 0xc0b984a0, 0x6c8fb70d, 0xad7c6bd2,
+    0xd1c72d72, 0x0c0acd28, 0xe5396ea1, 0xa5e24a40, 0xbfb70fb2, 0x3e1bfc0d, 0x53c893ae, 0xa819fcae,
+    0x5d4d2c02, 0x2762c6c9, 0x786a519a, 0xfe1892af, 0x361715eb, 0x14e0acf7, 0xba736293, 0x98101458,
+    0x719d54da, 0xde4f1b71, 0xd1fa194e, 0xe3fa391e, 0x633af45e, 0x285ee4f9, 0x1de3e4ba, 0x4aa1012b,
+    0x583f3008, 0x45f78c2f, 0x6f345046, 0x17dcf57e, 0x02fe272f, 0x56ce9343, 0x774812ac, 0x52070f47,
+    0xf2090640, 0x58a976af, 0x5133472c, 0xba22dff3, 0xb9da2bc4, 0xd86c90f4, 0x9ec0931c, 0x5f8d1c35,
+    0xa9e68343, 0xde4b717d, 0xa45734c6, 0xd343b1dc, 0xdd303730, 0x70a9d00b, 0xe34062b4, 0x3b90d40e,
+    0x83953499, 0x63364442, 0x0d983877, 0xd6707a45, 0x8368fb64, 0x9990ecf3, 0xc3341d4a, 0xc209ccdf,
+    0x31fc29e6, 0xdeb7d6c6, 0x511c4d9b, 0x6b9af85f, 0x86293f56, 0xf1e4d1c1, 0xad0687cc, 0xb67e525e,
+    0xd1f35fdb, 0x78adf96e, 0xd7a9b3ec, 0x9d15964e, 0xb5f959dd, 0xb683abe7, 0xdc19d212, 0x467c44ba,
+    0x3ccc66be, 0x5cbdfdda, 0x7e6b4caf, 0x98d5bc61, 0x49a2ee3d, 0x229ce637, 0xc19ec8c4, 0x0ae69aa2,
+    0xb9210c96, 0xc9274104, 0xb66f5e59, 0x4b94f7e7, 0xc592dcc9, 0xf97fe1eb, 0xb8663858, 0x764c6de5,
+    0x29c2e934, 0x739d3862, 0x09a1dd94, 0xacbc144f, 0x63b42010, 0x6aefc6fd, 0xbd1fb250, 0x7bb26a78,
+    0xd8c7dc1b, 0x5225162c, 0x4812bb55, 0x8b846582, 0x2ef86b2b, 0x8953427d, 0x096e9089, 0xd5dc00cc,
+    0x664da4f4, 0xaabdca37, 0xfc0de227, 0xbce8150c, 0xc6214e56, 0x8d9006a4, 0x42435502, 0xb17f52ac,
+    0x0202a151, 0x145a5901, 0xfed2831e, 0xaa3a664a, 0xa2c87472, 0x8c4aa85c, 0xb70f52d3, 0xb3767cbd,
+    0x86bd1c1e, 0x2b556db3, 0x0db22b58, 0x4cf19ac0, 0x2c959bc8, 0x5d83678d, 0x2205136c, 0x49cf0f3f,
+    0xeb41be0f, 0xe2347dd3, 0x3dbcb3e0, 0x9b0ddcae, 0x5fe58371, 0xcb2dd951, 0x951b6b18, 0x9ab7329f,
+    0x4d538fd6, 0x259f1727, 0xcc692a23, 0xabd6af5e, 0x52e6d94b, 0x7c4d3eed, 0xe159dc11, 0x6d944976,
+    0xb1cb4da7, 0x648dbe93, 0x55b6c31c, 0x2813b605, 0x828e2c5d, 0x02da0146, 0xc489f3dc, 0xe3bc69ac,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000039614081257132168796771975168 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afe, 0x492bf6fe,
+    0x00000000,
+    0x9df72337, 0xf0416169, 0xca0a488d, 0xaed5629b, 0x02511932, 0x5e1413d7, 0x0237a194, 0x79e136bf,
+    0xb6b1bc88, 0x6cea10c2, 0x6b68fad0, 0xe11c5d69, 0xed7326d3, 0x72fd9116, 0xb38af1de, 0x730fffd4,
+    0x4d8f4961, 0x7901c26e, 0x9aa6b71f, 0xb0e1d42b, 0xbce250ba, 0x0c6be6bd, 0x08039454, 0x32cc54ba,
+    0xb8df14ce, 0xe47d2881, 0x96777644, 0x4f89457c, 0x3b419c0b, 0x67f4e5f3, 0x1245d9a5, 0x7a89b99d,
+    0xa013009a, 0x8693f5e1, 0xef6cb888, 0x1f190003, 0x0e49ea90, 0x407a2700, 0x4dc62beb, 0xa6eafa57,
+    0x805e501b, 0x439bc265, 0xfff5cc28, 0x033eb350, 0x4db67dd6, 0x829ab70b, 0x8cc506d6, 0x96156ef9,
+    0x74d9a4e3, 0x14211eec, 0xcc1bf146, 0xd3a4e4f4, 0xec2f1f7c, 0x73b2f13d, 0xd318eae3, 0xae3b5747,
+    0xa26425b6, 0xbe5f9fde, 0xf09d7c2d, 0x3b9c92da, 0xdb3fd14a, 0x2b1abe43, 0x9a52a103, 0x2a1e9e06,
+    0x652362d0, 0x2ec3aa9b, 0xee0cde94, 0xde99a7f5, 0x4a968fb3, 0x24718b53, 0x2610af19, 0xaddfaf7e,
+    0xc2beab12, 0xaf63bb1a, 0x1cefd45d, 0x09aa0975, 0x0bcf46bc, 0xc72ad537, 0x8d657e2e, 0x68f6b92e,
+    0xacdbaf24, 0xac8da7b8, 0x026d90f3, 0x59b4f59b, 0xdfdde488, 0xf0791e08, 0x118b19e1, 0x5c29b631,
+    0x37943c76, 0xd02ba7f3, 0xdfec0b95, 0x507c88ff, 0xffe143b2, 0x56ebbee5, 0x16e0d352, 0x76f9b861,
+    0x67e11a77, 0x6f722eab, 0x1763b0fc, 0xf32127a0, 0x837f0cdd, 0xf4b746c2, 0x77709068, 0x81cecc65,
+    0xc0fa1713, 0xf29c5335, 0xaba0b58b, 0x3f331cd7, 0x550993f1, 0x3a45be0a, 0x1869971a, 0x61807087,
+    0x0a722a84, 0x32c26101, 0xb40c84e8, 0xaadcda28, 0xc635e3df, 0x09742fff, 0x4c9c8163, 0x9c4e2ce6,
+    0x52e83e84, 0x0fea040d, 0xcfb2da34, 0xdb121735, 0x966f2ede, 0xc5a4c669, 0x65878af3, 0x3ace6f5b,
+    0xb2651bd8, 0xcd97ffc0, 0x9acc5d8d, 0xf0d7e486, 0x56e21421, 0x51c13728, 0xa3065b45, 0xbe9776a7,
+    0x40bf2d72, 0x67417d75, 0x7c1be0db, 0xc9747f70, 0xb20da389, 0x7dad207a, 0xfa92abff, 0x02362626,
+    0x6e580794, 0xe6ad4f5c, 0xb24edb4c, 0xf1312243, 0xde2c3c8f, 0x265a4a51, 0x5fec9725, 0x8af9eb12,
+    0x70d697ac, 0xa93dd5c2, 0x5a55300b, 0xc00814cc, 0x58feb8d1, 0x9ab68813, 0x8286a6af, 0x8e1e52fa,
+    0x8bc11587, 0x9aad0adf, 0x9d0af492, 0x9bd0e173, 0x46059c27, 0x13a128e4, 0x521cf630, 0x588e1e60,
+    0xed4054fb, 0xf0cdc541, 0xeba0a720, 0x7bbfd126, 0xf43e61a4, 0x274ca754, 0x53420ceb, 0x086330aa,
+    0x7f97764f, 0x9239ec7d, 0x1e756ae1, 0x7a0b0b57, 0x2223e003, 0xdc26b4e1, 0xfc45dc2a, 0x6abbaaf9,
+    0x6e7f7cb4, 0xe2e2ce81, 0xe6ad7767, 0x9b5dc3c9, 0x211d56c9, 0xf2e093b5, 0x0c2116d2, 0xffc47780,
+    0x15bb6c5f, 0xe98771f3, 0x68b05ee3, 0x7453b702, 0xa9578770, 0x1c37dff1, 0xa68a7292, 0xd48c5833,
+    0x89698f33, 0x1ea89fa0, 0x4dd98825, 0x894ae581, 0x7fe11ea3, 0xf00a5c8b, 0xf103e048, 0x477bd09d,
+    0x5d3f91aa, 0xfa7d2613, 0x85b282b1, 0x9878f12e, 0x46d7b8bf, 0xf34fbfcc, 0x04490d70, 0x55ad1de4,
+    0x854b8088, 0x1ee8e625, 0x3d208a3d, 0xd2212b2a, 0xe7e049e4, 0xfbeaab98, 0x9bf54137, 0xa9bd6f80,
+    0x2139e93b, 0xb833d4b1, 0xeb93d64f, 0xfbafff63, 0x5126a965, 0x3c20cf90, 0x647cfe5f, 0x52e24d26,
+    0xde238e40, 0xd39ce1af, 0xb5eb82bc, 0x0d290984, 0x03b29205, 0x2f931fe9, 0x85683865, 0x87c22479,
+    0x0df91057, 0xa030b8c6, 0x6f1253c6, 0xb808bdfa, 0x54317bc9, 0x9a31b24b, 0xfe492c94, 0xfc27e781,
+    0xe35d4d5d, 0xbfe99a9d, 0x9cdd1bb0, 0xd36df112, 0x69cc6381, 0xad85482c, 0x0ecf94fd, 0x2f529965,
+    0x437fc068, 0x7da28565, 0x3b4e88f8, 0x8c83ee31, 0x732f5d55, 0x9252c130, 0xcf7f5efe, 0x7238ba6d,
+    0x8cc4c085, 0x6aa74710, 0x8dca5e95, 0xddc78260, 0x9f2c340e, 0xd85e01e5, 0x1638c0d7, 0xbd5c28b5,
+    0x271352ec, 0x577b1e2f, 0xe25aaa76, 0xdcd1fb82, 0xd7c16cbe, 0xd0c6f2df, 0xbc2faa7f, 0xac7d897c,
+    0xcd61848d, 0xc35139ec, 0xe65f4564, 0x68048bc3, 0x043c6b4c, 0xcf6b9870, 0x9dc6a9b3, 0x0b7a8fcb,
+    0xe6f16c01, 0x57a91471, 0x570f09e8, 0x839dbed7, 0xde5c7b7a, 0x150e6cb9, 0x17d066fd, 0x808709d3,
+    0xa7e93bfa, 0x23a4fb10, 0x975819b1, 0x720addee, 0xf2994437, 0xc2f4213f, 0x3c19161c, 0x4710c453,
+    0x3065f622, 0x5f22bde6, 0x2b1ff60e, 0x3a8bd982, 0xd22966a3, 0x16197009, 0x9a7a41b8, 0xb842857c,
+    0xe18db19f, 0x646e0f72, 0x99a3f3bc, 0xfd811024, 0xf91b45df, 0xbcf8a0e5, 0x349755bc, 0xf976f347,
+    0xaef366c6, 0x7f2f331b, 0x8794e448, 0x459dbb98, 0x312da58f, 0x06c92b6f, 0x0f2d03f3, 0x872c4aea,
+    0x540ae3e6, 0x8cf7de54, 0x966305e2, 0x19875797, 0x9a20d0f2, 0x3f44d56c, 0x06814c43, 0x9a334d46,
+    0xe6653031, 0x768e5c72, 0xca753d0d, 0x439ba969, 0xad20396f, 0xe3f6d885, 0xa3058be2, 0xc5ce9d1e,
+    0x2ddcc374, 0x62789664, 0x633be684, 0x3928e237, 0x37c732d1, 0xc3788267, 0xef5346c0, 0xdfebfb30,
+    0x460e6ff4, 0x80a15288, 0xadbd1648, 0xb4a32b12, 0xa0b84a14, 0x91c6f144, 0x55b8331e, 0x4d03d24b,
+    0xb3ec299f, 0x59fd7032, 0x287f61bb, 0x7c77cd44, 0xcaa323ec, 0xf70179b9, 0xaf2fdff0, 0xe99f6540,
+    0x1f9fcf2e, 0x31f0cf0e, 0x4c3ee812, 0x33d811a7, 0x4f8cc176, 0xb82397c0, 0x51f074b0, 0x77e74639,
+    0xdfcb50cc, 0x373b1b86, 0x1a64ed11, 0xb6037e7a, 0xd7207cef, 0xddace069, 0x24f73208, 0x79915226,
+    0x51842172, 0x8b77d285, 0x83858101, 0x8819d307, 0x43960a47, 0x2f6d4913, 0x238036e8, 0x4d55067b,
+    0xccbf82e4, 0xdb774942, 0xf9c7c9b5, 0x0bad9354, 0x74de128e, 0x86667b91, 0x06091a58, 0xa6221452,
+    0xa0423f68, 0x3e79f782, 0xa35d594b, 0xa2a348ed, 0xee8f5b1e, 0xd170dc1a, 0x03ccd157, 0x9c60a2af,
+    0x0ffd8b0e, 0x18f4c6b4, 0x033bb61a, 0x31de2c6c, 0x02484192, 0x02f073c2, 0x59cea591, 0x6f6e2b69,
+    0xbab1d9e5, 0x87062140, 0x617ebf07, 0xf768498d, 0x161036a1, 0xc256d297, 0xb7e7c566, 0x97ea9df7,
+    0xc6dbac0f, 0xc597822f, 0xd64bae21, 0x6e012de2, 0x932a1250, 0xc0817f4f, 0x20da7dda, 0x1df7b425,
+    0x35fda534, 0x94f5134b, 0xec60e039, 0x9a69e932, 0xde6f3a51, 0xfdba7d1a, 0x5c39b2cd, 0x4c06d980,
+    0xf36c3162, 0x47a32000, 0x0c320d33, 0x77a09756, 0x103fbe2d, 0xcccd7560, 0x8892668c, 0x3ca0e9d7,
+    0x9069d9fb, 0xb6d41003, 0x0c5f8a25, 0x5d11b293, 0x9c34d740, 0x3008d6f0, 0xfdefe6af, 0x67231ac1,
+    0xd6271007, 0xa2095536, 0x5dbcf4e7, 0xfad087cf, 0xff220192, 0xb341b149, 0x77cb4999, 0xcc7c9b4f,
+    0x336659b9, 0xc33257aa, 0x251753d9, 0x952d64aa, 0xf91cd662, 0x4c42ed58, 0x6a363bf6, 0xfe58fd71,
+    0x53b27788, 0xc3a0007d, 0xe9ba8164, 0x34be89de, 0xbe75a653, 0x02adb903, 0x134e0e26, 0xfd121b85,
+    0x333e9633, 0xc40072b7, 0x8ff53cf2, 0x829eb7d1, 0x7b4b95c2, 0xedb8c429, 0xdeb794d4, 0x2c0cb349,
+    0xf37ea663, 0x28778b19, 0x56c5738b, 0x4e48e2cd, 0xfbcf5752, 0x47a11785, 0xa25fdf43, 0x0844437a,
+    0x6eed228c, 0xb1f64bf1, 0x433e6412, 0xd572aa70, 0xa7874ce3, 0x1477f157, 0xb7da3a06, 0x38e7ddb3,
+    0x66483614, 0x10a87f5c, 0x94cfaa39, 0xa3d404ae, 0xd1ef1cb3, 0x485eb2ae, 0xd0577479, 0x753a7927,
+    0x69fe46b3, 0xcdd25aee, 0x67bddd78, 0x0075a7e7, 0x43215b6c, 0xaf63d712, 0x9400641d, 0x03c83f20,
+    0xe892caf5, 0x6c0a5dbc, 0xff73ecf3, 0x1432c7b5, 0xee1ddb16, 0x9e9565a5, 0xf0bd41e0, 0xe4416214,
+    0x9aac2bc4, 0x07b1ee65, 0xa63d4fcf, 0x2219dc0f, 0x53588624, 0x52e30a61, 0xc0ae2ca7, 0xcaaee987,
+    0xf2ecab83, 0x4fbc4087, 0x75ec62b8, 0xd3028356, 0x1247ef3c, 0x2cc34ede, 0xfb0d8099, 0x0eb2d152,
+    0x96f9cc0a, 0xec4e4fc1, 0x73332277, 0x85ec52f6, 0x3f1584d0, 0x2c534150, 0x31149b20, 0x517751c1,
+    0x300d0aed, 0x55c62c56, 0x1dca12e9, 0x10b849fc, 0x5b66a665, 0xff9b8805, 0x4b75ba56, 0x805c38ea,
+    0xef0237d9, 0x773948b1, 0xd02c57d5, 0x719a40a2, 0xbf43bd08, 0x2574dcc4, 0x9a5dc705, 0x6dad3318,
+    0x948cb929, 0xbd37b95f, 0x373b96f7, 0x75a94c74, 0x0e02a286, 0xa4971300, 0xde81b490, 0xf9011b2d,
+    0x4baae47f, 0xa3843d02, 0x23c87cf0, 0x545c361a, 0xb3f9378e, 0xa7ddb47e, 0xaf0b6a24, 0xdf4ecd4e,
+    0x66e26324, 0x25e0c2ba, 0x00905fe7, 0x890489a6, 0x94b3f82c, 0xbe9b33f1, 0x2d573a40, 0xa8d4dd5e,
+    0x1b5b874f, 0x4de3d286, 0xfeda6dc8, 0x771b16cf, 0x61da51c3, 0xe688ba5e, 0x43ff50f4, 0xc81f56f9,
+    0x71af6e97, 0xb8371b8b, 0x3446981d, 0x1de6196c, 0x1491706c, 0xa066c080, 0x18de97be, 0x27c3c5db,
+    0x51af654d, 0x752f5e03, 0x2c3b8aec, 0x8010af42, 0x92003815, 0x98de8574, 0x479c43b3, 0x1c4182fd,
+    0x00ad96be, 0x0baccfee, 0x614118c1, 0xdfc1d102, 0x64df697d, 0x15d97d73, 0xa1c9a026, 0x92db92a7,
+    0x805aba3b, 0x3d2bab53, 0x9559d9c1, 0x95451da2, 0x42fb2fbf, 0x7eb2ac56, 0xb982e4f2, 0xff7ba4dd,
+    0x8a920e86, 0x2d3abc74, 0xc12368f5, 0x5df16ecf, 0x2676c83e, 0x6e35ae32, 0x31beccb5, 0x78ef94d0,
+    0x2072c793, 0xed6a7d19, 0x4f2e2b4b, 0xc7aa3e6b, 0xda537336, 0x6e19030c, 0xd6bec531, 0x88791edd,
+    0xb497f6fc, 0xc7eff5c2, 0xcef5ebce, 0xbf4075d7, 0xe34d7641, 0xfbb7908b, 0xa836e5e9, 0xf366e5d8,
+    0x25b73695, 0x121c3c0e, 0x4e0cfe09, 0x8f254f59, 0xed5300d6, 0x25aa3961, 0x78abe61e, 0xa469e314,
+    0xfedb5671, 0xa9d46a7b, 0xfd4ad8ea, 0xcb012bff, 0xb5edb56d, 0x0c5200c6, 0xbc41b4dc, 0x4244cb29,
+    0xb43d44b6, 0x710f0e70, 0x07abb769, 0x4056add9, 0x088d7ffb, 0x954b7ef5, 0x0dab7cc0, 0xd3af5988,
+    0x9703a7b1, 0x01f38a1b, 0x657287ef, 0x597c138e, 0xf014812b, 0x74625128, 0x82b2fb55, 0x38f4d328,
+    0x5664f71f, 0xd4e7c433, 0xfc9cdd37, 0xa9414533, 0xfc1c3f7e, 0x63174901, 0xa55d380e, 0xa7603a8b,
+    0xdeeee0e2, 0x45c1e451, 0x6cf6ae56, 0x368f7d2a, 0x217e96b4, 0x42380eb7, 0x17183f6f, 0x51927400,
+    0xdfded5d4, 0x82a778c5, 0x7af17392, 0x54007563, 0x4376678a, 0x58c8ebcf, 0x41227e18, 0xc28d37f4,
+    0xf625c67f, 0xe47ae032, 0xe426332a, 0x2ed76ec6, 0x1686b305, 0x69bd00ec, 0x0b34c8f5, 0xdcef9a1a,
+    0x600424b6, 0x83851e36, 0x53f83327, 0xf7ee006b, 0x7d84d40d, 0x96e38045, 0xe3603cfd, 0xe591999f,
+    0x8bcaf5cd, 0xee5d3078, 0x3fd8f7b9, 0x5f2054cc, 0x1ed81e31, 0x89c58802, 0x9f03515f, 0xd8c9793d,
+    0x5be6235d, 0xfb581cf3, 0xea587331, 0xde13a303, 0xf745afa2, 0x84d350c2, 0x28cee9a7, 0x4891a998,
+    0xf0efad0e, 0x4fc6e492, 0x0a18d7ca, 0x2ec76752, 0x9307ac9d, 0xeda2c100, 0x44b01cb1, 0x4f692bc1,
+    0x142bd1ca, 0x4e6ff432, 0x76e7a15b, 0x7275d676, 0x4bc6c98e, 0xe571a189, 0xe3e4c44b, 0xad680961,
+    0x5c0dfa5e, 0x9b8a82a0, 0x618c942b, 0x2a1260ae, 0x63db5735, 0x2b22defd, 0x88b96277, 0xd486aa84,
+    0xadf3afa0, 0xe3219bb1, 0xb3f407a3, 0x85be917a, 0xfd1ec464, 0x7df15eb3, 0xddf07d4a, 0xc168fcf1,
+    0xaebc9e21, 0xc26bbb4b, 0x6c6ec94b, 0x6c63a24a, 0xdb1467d3, 0x982fc88d, 0xc8e5e314, 0x7fd97b6b,
+    0x8a700207, 0x90b89d35, 0x7cfba19e, 0xa1ee8d63, 0x578d1924, 0x308ad9d5, 0x050cc53a, 0x5cec9b02,
+    0xe9d4c741, 0x040e3ab1, 0x1f03be7a, 0x217a401c, 0x5e888517, 0x51b32f78, 0xdf767591, 0xe1b3584f,
+    0xe2844cea, 0x7a29fc63, 0x27977ce5, 0x706b36ac, 0x1b4fe7e5, 0x5343b82b, 0xeceae000, 0xb62b6d36,
+    0x46add605, 0x1b45d6ae, 0xd3d1ebd4, 0xf3f565ed, 0xc16a01c4, 0x7b2f00ff, 0x4492d6d1, 0x54235411,
+    0x3f57ea0c, 0x250c74a5, 0x4d8289b1, 0x858cfae0, 0x48013869, 0xff4a9cfb, 0x78c5530c, 0xe928954c,
+    0x0e09a94c, 0x047f5468, 0x1b23f054, 0xde7fcc1c, 0x161fb984, 0x8bea3643, 0x1acde95c, 0x9e3132e8,
+    0xca98f038, 0x654c2d67, 0xde21cd69, 0x6d6d5e47, 0x049a7fa7, 0xf44ecec7, 0xf17f32e5, 0xc329ce04,
+    0x8a63445a, 0xbd357bf6, 0xed99ca1c, 0xf1626415, 0xe9570077, 0x8d7a5e3a, 0x3f7c3177, 0xb57e47dd,
+    0xe184c5b8, 0xd663cf2a, 0x9bd26539, 0x00f4a880, 0x599133cc, 0x6abbec86, 0x7860219d, 0xc57ccaec,
+    0x05343e4b, 0xab42c522, 0x458bb5ae, 0x502787e4, 0x70f9f152, 0x49adc5b1, 0x617bfe22, 0xc4446390,
+    0xdd4fdaa0, 0x93c030b3, 0x61b8ef78, 0x0c6af3b1, 0xe1944fe3, 0xdc846601, 0x5c0fb18f, 0xf9ed5bbb,
+    0x731943a8, 0x7cc55e60, 0x2e1d2a36, 0x75527e2c, 0xea0eb36f, 0x65436812, 0x6a64b949, 0xd81bc39b,
+    0x109ccb51, 0xe77f7877, 0x7b68e6e0, 0x5a3d455a, 0xa061e3a4, 0xc0d8a834, 0x0bd1cc87, 0x54cb1ef9,
+    0x2e4cceba, 0x1b5f978d, 0x50bdd02a, 0x5a0511f1, 0xa25b4596, 0xdea48daf, 0x4dfeb909, 0xae2353d7,
+    0xac91c298, 0x0db55838, 0x765e0d67, 0xc8490b79, 0x747b6849, 0x4a24e2f3, 0x94e5e8fd, 0xfcfeb214,
+    0x1c00dd31, 0xa106213b, 0xc5ef9c7a, 0xf3db0b84, 0x734d1453, 0x320040f2, 0x9c292141, 0x0f03cbc4,
+    0x0bf5fa31, 0x71111d84, 0x1f2fc5a1, 0xbb5a342b, 0xcad78fc4, 0x9772b47c, 0xdf509ce5, 0x9703df4a,
+    0x5dcf1001, 0x475801a3, 0x1a94a61c, 0x452a3b79, 0x74794182, 0xea768d9a, 0x68362a69, 0x024b83a3,
+    0x9dcb5756, 0xff8f9cd4, 0x2a2f8008, 0xe587a6a4, 0x8e95deaf, 0xdd8f0aa0, 0x2faaecc6, 0x079c7863,
+    0x25256ba4, 0x73701a31, 0x67aa29d5, 0xc968af0d, 0x8e5c8d15, 0x951a68b5, 0x5ce7f11f, 0x33141a81,
+    0x59fdf623, 0x3b8a79d7, 0xafc5590c, 0x52ab6d86, 0x787dbc6e, 0x53dea701, 0x4ed5fc02, 0xe450988a,
+    0xa52d5d96, 0x373b8fe3, 0x7637a63e, 0x524922a4, 0xf514ce4f, 0x69f0ba94, 0x3951fbd6, 0xe034ac75,
+    0x329245e8, 0xbb8c84a6, 0x9ca2e915, 0x7ac56382, 0xfbd2eb34, 0xec76d422, 0x38b02192, 0x514b0cf5,
+    0x64e218dc, 0x1ecbf1bb, 0x61d7ca86, 0x9eb52106, 0x3ddfdce4, 0xf5459e4d, 0xf2e89984, 0x5cd530d5,
+    0xb86ac553, 0xa2d8088d, 0x8c843020, 0x912a7e3b, 0x64279ffa, 0x21416842, 0x5532b74c, 0xce845bd8,
+    0xb513566b, 0xb96de6b2, 0x294cf07b, 0x483e2c06, 0xe1cc95e8, 0x02a54019, 0x2cd070cc, 0x373902c9,
+    0x9869069b, 0x766dff28, 0x86efd41e, 0xa24e23d9, 0xebc9e18b, 0x543825b4, 0x9dd955f3, 0x43a1761d,
+    0x26f2ae60, 0x57f99d82, 0x504df4a3, 0xe2acf6f3, 0x37bbe210, 0x9be53e2e, 0x22bc2eaa, 0x002b894d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000019807040628566084398385987584 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57f, 0x2495fb7e,
+    0x00000000,
+    0xc91847e8, 0x0a8a1b9a, 0xaf1b167d, 0x953300d4, 0x33e14271, 0x30f7f446, 0x4e189db8, 0x200eb8e4,
+    0x8f740015, 0xf15f5dd8, 0xa62903e4, 0x863add81, 0x93c8e348, 0x12361ccf, 0x934f7a19, 0x27ad9a10,
+    0x58a78049, 0xe1908e51, 0x8d371e2c, 0x478e928f, 0xc3aded23, 0xc2a600e9, 0xcd9eb9d2, 0xab3ec717,
+    0xf1e21c8e, 0x3fa434e3, 0x8f159abb, 0xd8aece5d, 0x6eff7af4, 0xc59fe872, 0x03b36e8b, 0x5dbcdfae,
+    0xbb05c351, 0x0717297d, 0x31aa459c, 0xdc8295c9, 0xbd3de925, 0x8be266fd, 0x6cedc88e, 0x5cc0679f,
+    0xf77c277f, 0xf5889ca3, 0x735adeb8, 0x445ade94, 0x1dff5024, 0x8406dc75, 0x776ddb8e, 0x90c932e0,
+    0x44d5211c, 0x35ab3acb, 0x19f9d3fe, 0x35705cec, 0xab55baed, 0xb724ddb1, 0x83dd8462, 0x9e81b7dc,
+    0xda8a5281, 0x05d47371, 0xea016fbf, 0xb5fdf1f8, 0x25c4505b, 0xcf81c3f0, 0xb68f4697, 0xcfeab64d,
+    0xfefab2cc, 0xe9e258ce, 0x52ff0fde, 0x198216ab, 0x22421990, 0xc2bf871a, 0x0841fac4, 0x4a33174d,
+    0x92b5d286, 0x491b6272, 0x3bf3286f, 0x79cdbd5c, 0x114c2530, 0xcfdc0736, 0x8aed1417, 0xd9e3af24,
+    0x9349d75a, 0x1126be53, 0xc863845a, 0x250864cf, 0xde2b86df, 0x2d01b0be, 0xfa3556d7, 0x1c4f9d4a,
+    0x67ceae6a, 0xb82db745, 0x90298e2e, 0xd69885e6, 0x4fc9a0a4, 0xa1f8e624, 0x8f1153e3, 0x350487db,
+    0xae5ac92d, 0xb96b4a21, 0xee305418, 0x09a7c3e1, 0x202a74e7, 0x801bc8e9, 0x77d0c765, 0x2944287c,
+    0x36e21ff5, 0x96873687, 0x00e575cc, 0x6074c4cf, 0xad3e8174, 0x3f0ed66e, 0x69c2b376, 0x8b1044e2,
+    0x5b382948, 0x606ea3f6, 0x6f036799, 0x136fb5d4, 0x8e846566, 0xc8a173e5, 0x8feae066, 0x22b59e99,
+    0x1f744d67, 0xae9bed69, 0x77535674, 0x25d66a34, 0x96700837, 0xd9760eb3, 0x595c7b76, 0x2a090459,
+    0x14ef3496, 0x587b1d63, 0x8230577c, 0xca0bfb0e, 0x29cc65e6, 0x83901cbf, 0x425e0634, 0x9534eb9e,
+    0x6237f867, 0x3bb49a2e, 0x35b483a1, 0xb4b69083, 0x992f04eb, 0x50b62b17, 0xccabc2f6, 0x2fc2e5ce,
+    0x2f9f0abb, 0xe6166b4a, 0x29dc7d50, 0x1ef5f2d3, 0x4bbb14ef, 0x92bb9314, 0xfc541653, 0x346b04ab,
+    0xd4e17dbf, 0x9133badc, 0x036f8a22, 0x1114b755, 0xde0dfb70, 0xd4b05198, 0xaba5b3f1, 0xd6f25084,
+    0x43881be4, 0xd2e89173, 0xc8222bb8, 0x4097e33f, 0x4a0c0cf3, 0xe8f5f294, 0x12a40709, 0xc268bc0f,
+    0x32e316fe, 0xda0990f1, 0x5dec6f3f, 0xcfd742cd, 0xc1cd4dd4, 0x060e2080, 0xe3016104, 0x2f38ab22,
+    0xc8133ec4, 0x63963f96, 0x2592da31, 0xfd5362e1, 0xc0af36a4, 0x11b1d7e2, 0x1344b7e1, 0x2a4d9560,
+    0x83cae7bd, 0xf1614423, 0xaeb5f02a, 0x986f98f8, 0x7ba83952, 0x91570713, 0xc4c583db, 0x281c83a1,
+    0xc67fd27a, 0x57300df2, 0x974e6a45, 0xbd251d1c, 0xe0bb1eac, 0x688f19ad, 0xb2b91277, 0xe44efc38,
+    0x326040f0, 0xe5a8fbf8, 0x34f2dfd5, 0xa4b2008f, 0xe341ae47, 0xd941daa7, 0x17b3d3ad, 0x9fa40732,
+    0x6982c2df, 0xb886c855, 0x07941f87, 0x439098b8, 0x159305ed, 0xceafe850, 0x7b2afe02, 0x382b224e,
+    0x8b8b4643, 0x3f58273f, 0x1cefcfb1, 0x09d55615, 0x59cce5f2, 0xa90896db, 0x0458d035, 0x87068ed8,
+    0x94a9a358, 0x8fdd2cf5, 0x7706a6a1, 0xe08d0193, 0x06d9a392, 0xfe7dd799, 0x74c6408f, 0x96e544f6,
+    0x7e979185, 0x389c5a09, 0xada5fc4f, 0x994a5a0d, 0x5b7d79ce, 0xd4a767ea, 0xe48b9344, 0x12ca50ea,
+    0xc10bdbe5, 0x69f57468, 0x97f7a53c, 0xb1649b5b, 0x874001cb, 0xb4d486f1, 0x99f62b99, 0x451adb7f,
+    0x52f136e7, 0x217be0d8, 0xc75dc415, 0x089806e7, 0xe6c4a237, 0x60722ce6, 0x131aad4c, 0x9099c284,
+    0xe36b155a, 0xa57fa34e, 0xb7f8b3a3, 0x413b40e0, 0x729e40ca, 0x06a0459e, 0x5aabf518, 0x57cdcdc8,
+    0xedadc9c4, 0x3de01db2, 0xe130b464, 0xd6ed24e9, 0x3a29ccf2, 0x71ef8e5d, 0x15074fa1, 0xb8760635,
+    0x41c3e351, 0xf5980a68, 0xffb66b1f, 0xe8724410, 0x7e431fb4, 0x230720bd, 0x9e3e7ba9, 0xb553864c,
+    0xdafe5308, 0x1c88a18a, 0x6c9721ee, 0x62cac0a0, 0x54dfb126, 0x0468e440, 0x9f733bd2, 0xb83eca4e,
+    0xaf819512, 0xa1b3b303, 0x94baddb1, 0x0ae4dd41, 0x1f0abfe5, 0x04f9702a, 0x0e07add1, 0x2ebf599c,
+    0xf88ebe8a, 0xa943328e, 0x472c5d74, 0xb7399609, 0xc9ed362b, 0xb8c67e19, 0x135a0a4b, 0x4652b409,
+    0x2f88b3ba, 0x7538e49f, 0xc8875cd9, 0x44455053, 0x0a84405c, 0x66f63cd9, 0x168dad7c, 0x3debd904,
+    0xd948c446, 0x68a95972, 0x7cde6687, 0x4a506561, 0x12f14021, 0xead1850c, 0x4e3239f2, 0x9b91ffc0,
+    0x4a257a53, 0xaa1bcb8c, 0xe286a375, 0xa22ac437, 0x824ed513, 0x22990115, 0xebe63abf, 0xa9e9e797,
+    0x01b60101, 0x13eaf62c, 0xa2b1f206, 0x45e595aa, 0x2c485094, 0x1c1e3511, 0x049d75d7, 0x0767530d,
+    0x1e91a7f5, 0x79c9f235, 0xb437482b, 0xd8454157, 0x3043cd22, 0x730e9a00, 0x878a6ddf, 0xc43ae4a2,
+    0x0a7c2498, 0x7ff04fed, 0x0fce46da, 0x89131212, 0x47041147, 0x3dde0258, 0x55987362, 0x78276382,
+    0x152e142c, 0x81f2447a, 0xb840b62d, 0xabb007a6, 0x6b7b4889, 0x64adee60, 0xb6471445, 0x9c7f665d,
+    0x174429f4, 0x6e8933e3, 0x940d023a, 0x23c671a3, 0x585c278b, 0x1ccb11ff, 0xa3a57470, 0x7be55b3d,
+    0xbd47d439, 0x967531b8, 0x672c4091, 0x265fac3f, 0x19b8afc3, 0x251cf147, 0x0e41619a, 0x298dbd02,
+    0xdc4deca4, 0x837e53da, 0x76fb68b9, 0x7c887c59, 0xe4715d93, 0xe414803d, 0xa1cf6e02, 0x2a081b08,
+    0x0495f355, 0xbe0586a3, 0x9d1b11ed, 0x67b6daea, 0xfc9c33ee, 0x9e0cc832, 0x89ee467b, 0x4ecd7731,
+    0x32cdcc27, 0xa4815706, 0x15388b5e, 0xeec27898, 0x2506ea10, 0xa1e33421, 0x13d2a20f, 0x35caa678,
+    0xd9b23b01, 0x4815d571, 0x7f301851, 0xc5379b10, 0x2bcfb6c0, 0x81c948e4, 0x92a6967a, 0xde3cab33,
+    0xb5619e94, 0x2b2b82ba, 0x955b64d0, 0xafa6e8fc, 0x29ab039a, 0xa3867fa2, 0x85a7b916, 0xb66bd42d,
+    0x5e076d01, 0x8cbfeeeb, 0x60e58ae2, 0xce012bb3, 0x863e2cc3, 0x85250c71, 0x968b27ed, 0x0cee257e,
+    0x81d112da, 0xb42f25ae, 0x76da200a, 0xec7ff19d, 0x04f0b28d, 0x56192ec9, 0x4d1e14a2, 0x97769d2f,
+    0x7f94ef03, 0x87b636ab, 0x028953f9, 0xf6737ed7, 0x102591fa, 0x9e600c78, 0x732ff2d3, 0x8814c41f,
+    0x4d4c1638, 0xac92b024, 0x4140a031, 0x87b607eb, 0x81fe557f, 0xe7627da4, 0x08c357ca, 0x548b84dd,
+    0x0d40d63e, 0xa8dda4c2, 0x362b1341, 0x8f9c4f75, 0x7a63ab6f, 0xd0d5f9d6, 0x087b7aad, 0xc8944c23,
+    0x7eae9b7b, 0x76e5cf99, 0xc1bfd999, 0xc55e0f11, 0xd007fbdc, 0x12bdcfba, 0xd6dd2978, 0x0db86987,
+    0xbd0825b9, 0x7c837167, 0x45bb6a38, 0xf4cb24d2, 0xbac29833, 0x88851c50, 0xcdb2659d, 0xc586050f,
+    0xf7460fa2, 0xc52ef453, 0x073e6d01, 0xeff5a651, 0xa5dae114, 0x25df953c, 0x19523875, 0x95b5f084,
+    0x0d25b211, 0xfa397f60, 0x0a73a4de, 0x84df95e1, 0x49fc4c2e, 0xb0cae6eb, 0xd9961a7f, 0x285968f2,
+    0x5d82158e, 0x15c4cf73, 0x991c19cb, 0xd446fc1a, 0x66656c04, 0xe5a8a1e7, 0x9bdddcf0, 0x5be8ea1a,
+    0x3d0e8755, 0xb85e99e9, 0x6cabfd3a, 0xf83dfc9d, 0xd9acdbce, 0x8bf1ef12, 0xf869e22f, 0x33f76b2b,
+    0xb284df2d, 0x7b27260e, 0x6f1171ae, 0x6f22d3be, 0x609413c2, 0x115ea106, 0x6ba60a73, 0x9fc6650f,
+    0x39edf5ba, 0x8d81e120, 0xd02fd1fa, 0x4339ace4, 0x62b71802, 0x5e9ef958, 0xd498f751, 0x7c4473c2,
+    0x72886278, 0x1c3b4382, 0x42c7ff57, 0xd627cb98, 0x7e65982a, 0x12ed145b, 0x9f2a6eb6, 0x4dca9ce6,
+    0x1f0bff9e, 0xbb334081, 0x32ba6641, 0xfb5e7f83, 0x405e19ae, 0xba91e34f, 0xb5065d2c, 0x6adbc1aa,
+    0x77eacab2, 0xad339b49, 0xfcb3ee32, 0x5ab1256d, 0xbf6405d9, 0x6c3d8533, 0xb8d3ba5b, 0x5f029417,
+    0xd1bfc77b, 0xe7896f53, 0xc9cb7d28, 0x5938abdb, 0x1a158e92, 0x2372d5e9, 0x76908723, 0x23236eff,
+    0x98031a2d, 0x66d7f20b, 0xefad2055, 0x4af39b3e, 0xbe5fddc2, 0x2da6da53, 0x879f8497, 0x1b471c0d,
+    0xe984732c, 0x2a67d094, 0x58617fc9, 0x95ee651a, 0x7ac55dc3, 0xce1acfa0, 0xc5e0d8f2, 0x04507780,
+    0x287bc5e0, 0xc1895667, 0x006670fe, 0x5690baa5, 0xd838bb8b, 0x60460df8, 0x0b1568cf, 0x7c6d86b9,
+    0xe26a34a6, 0xff9a4377, 0xdab5f099, 0x78a7e137, 0x50f5c31c, 0xd7303c9a, 0xaf0f6fa6, 0x6c4193e7,
+    0xcdfc09c6, 0xde059bcf, 0x2c2ba711, 0xf24080dd, 0x7fa41a57, 0x2c2ca4aa, 0xf765b5ca, 0xcad07fe7,
+    0x53eae340, 0x98b533ab, 0xa27e8adf, 0x07c78544, 0x03cfabd1, 0x9f2c0fd3, 0x1dccc774, 0x23af4758,
+    0x7d7e6f53, 0xd50b32e7, 0x9521ff50, 0x109cc511, 0xc2e83e65, 0x036e5ce9, 0xbf788ff5, 0x800a00db,
+    0x07ebc48c, 0xadd1a172, 0x6f41896a, 0x2cd37911, 0xe85c8fcd, 0x1046842a, 0x55471a2c, 0x947b53d0,
+    0xf5f7d146, 0x3102a875, 0xfc18b39a, 0xd79a4e5a, 0x05bc4de7, 0xeb0695e6, 0x62d95831, 0x203c3aea,
+    0x6119b1d0, 0x4f013531, 0x3c7024a8, 0x64a5979e, 0x742bb30c, 0x0b03c8ee, 0x7f472f2b, 0xc1529301,
+    0xd133e0de, 0x0d044803, 0x25dc8861, 0x692534dc, 0x2dc0acc0, 0x7cc38717, 0xeba2610e, 0x960cb46d,
+    0x288de1ae, 0xa3b84226, 0xb903c26a, 0x229ca14a, 0xde2e9b3a, 0x254b111b, 0xca820565, 0x74e1443f,
+    0x74bb8ddd, 0x6f8a8c15, 0xcc92fd3a, 0xc618a551, 0x18e0432d, 0x6b25c689, 0x436ab666, 0xa5d5d4d2,
+    0x20486f41, 0x2c1fde57, 0x1b9264f6, 0xc4899c7b, 0x100ee824, 0xa4c61dbe, 0xa1a9b66a, 0x3176ab2d,
+    0xe3caf205, 0xeda303fc, 0x1227b1fd, 0x67158ad4, 0x3f723e33, 0x9c203cba, 0x2cbe516a, 0xdde6c31b,
+    0x9dd4c295, 0x57e35fc6, 0x234553c7, 0xd97ee0db, 0x9cddc196, 0xfdb055c9, 0x5959e84e, 0x56dd9af8,
+    0x04959547, 0x49d20dcd, 0x0d6daf4b, 0xf7e684a7, 0x422a70e1, 0x00463c93, 0xd196511f, 0x3b8ad7d9,
+    0xe3efe7a6, 0x337f7785, 0x6a2a6ae3, 0x3987cfee, 0x2e7d5e88, 0x643634dc, 0x1a89beda, 0xb96c5fed,
+    0xc6c16389, 0xfcee3cb7, 0x6ec58f71, 0xd370ad81, 0xeebf0694, 0x6a797501, 0xd3e0f87e, 0xc9096bc2,
+    0xbfea8bbd, 0xc23ad39d, 0x6252e166, 0x259455c7, 0xdfd97bf5, 0xf17ea4e1, 0x371c0bdc, 0x8832d6d6,
+    0x05685f40, 0xb3ec1b99, 0x7174f7fa, 0xfd4e7b23, 0xfb0e5e86, 0x22662f84, 0xdb2260d6, 0x7abfa600,
+    0xa5ce9c4b, 0x3f1021d8, 0x36e87973, 0xd4bd00d1, 0x39fa8e90, 0x20181d7c, 0x09f83336, 0xbdb9434c,
+    0x9e877bc7, 0x09504259, 0x5dfc9bbf, 0x28de42b5, 0x11c07ef5, 0x4b281a7a, 0xb05d557d, 0x9668cb51,
+    0x9f40b486, 0xc6ec8466, 0x28aa8824, 0x8737e5b0, 0x3041edc4, 0x463f3c09, 0x9736d6da, 0xc102f66a,
+    0xb2bf1fc6, 0x28eecc6a, 0x77090922, 0xf77e18c2, 0x1a933697, 0xfa1cb5ac, 0x098376c8, 0x5e0938a1,
+    0x240fc5bb, 0x17850d11, 0x4103bd43, 0xbebf2bbe, 0x911ffba5, 0x42614323, 0x0586e848, 0xb4fc973a,
+    0x4ce590c8, 0x9b50ebfb, 0x5df77229, 0xd0982041, 0xdb1067d3, 0x0211282e, 0xd5134f6e, 0x9d52740c,
+    0x291f8151, 0xd3adcc15, 0x28917536, 0x470fb3b0, 0xfa1902d8, 0x64aebace, 0x1bf86eba, 0xc3c30120,
+    0x768b1757, 0xb21a8b03, 0x24c7e57d, 0x1cd0c6ea, 0x4a3ca784, 0xde29e4b2, 0xdc7aa3d3, 0x68a45100,
+    0xe0e81983, 0x4d329f3b, 0xbc35efbe, 0x4e34199d, 0xe6807004, 0x43004684, 0x0d0e6869, 0x90bf098d,
+    0x78f617b7, 0xdc08b7e8, 0xee2c4e57, 0x6808a11a, 0xaa2ee789, 0x1ef26380, 0xc2249353, 0x56162583,
+    0x846ddbae, 0xf772c2b8, 0xa14c4e57, 0x7c8c00fc, 0x1827c77d, 0x625f0517, 0x01133f24, 0xe3b9af34,
+    0x5838c97b, 0x9fdde131, 0x486be28b, 0x28f48080, 0x079b4cba, 0x32aa6830, 0x39e73f6b, 0xfbaf272e,
+    0xad7dcb67, 0xf748c095, 0x745ea013, 0x8e281db6, 0xa1d70617, 0xa8a084cc, 0x80670857, 0xbaff095d,
+    0xc515e393, 0xa71313c7, 0xb6888f75, 0xbdf83c25, 0x77603cba, 0x9e74cda4, 0x4882553a, 0x36086d97,
+    0x9b18eb62, 0x08e77287, 0xafca1f1b, 0xf61e3c41, 0x5fab2a09, 0x2bde7ce7, 0x86b41b09, 0x43f55f74,
+    0x88bc70db, 0xf0e0ceec, 0x6a955871, 0x3676f842, 0x35d91d44, 0x28eb8c65, 0x6c09ea57, 0x6027dd64,
+    0xa6794972, 0xd83b069e, 0x4c06c0d8, 0xf10eed37, 0x5e97b33e, 0x8449bb56, 0x89fd8c7a, 0xd9d73d59,
+    0xd182e263, 0x80b99006, 0xf636fed9, 0x336d9f74, 0x328f0faa, 0x11e0a8c3, 0x44034057, 0xaf395dcf,
+    0x38f3d1d6, 0xc9423242, 0x3f8281ed, 0xdc2e9d7e, 0x374700f4, 0x8ec94ad0, 0x89df458f, 0xac195f5b,
+    0x97d1886c, 0xe439c454, 0xd6f5049c, 0x26072580, 0x40f59d39, 0x03ca34ed, 0x245a71f8, 0x9d88c4ae,
+    0xad3f3db5, 0x1c81d126, 0xc9cef3b7, 0x78ba7c6c, 0x7e1ee4ef, 0x2ef04ec2, 0x2826a420, 0x35b5395c,
+    0x42a59a23, 0xbc709877, 0x00e8f35a, 0x3eedabbd, 0x8d1f8489, 0x686bca79, 0x2c4f1691, 0x0e9a37a0,
+    0xd9e7feb8, 0xd49cfd1a, 0xcd2fca0f, 0x3ebf3827, 0x067e5d10, 0x39c4b701, 0xa785720e, 0xbc1f644c,
+    0x8e55b353, 0xe7c208c0, 0x1e66231a, 0x0ea9f37c, 0xf411c7c7, 0x90dfdd83, 0xd2e5fe25, 0xf69da3f2,
+    0x2f3cf0ce, 0x2a927340, 0xaa13c794, 0xce983edd, 0xf5f7181f, 0x2044967a, 0xc39803b2, 0x0f7904a2,
+    0x918febb5, 0xd4389f8a, 0x98a0c6c7, 0xf300fbb4, 0x4007e3af, 0x1870a317, 0xcf15d667, 0x5c3c703b,
+    0xc9819a1b, 0x516c7b92, 0x62de7a14, 0x69e064b8, 0x648b9102, 0x9e6db938, 0xea4a6fb5, 0x869f15f2,
+    0x4b77b4e3, 0xb3663df2, 0x82ce50ed, 0x96b8049a, 0x14a43d88, 0x8fc62404, 0x57dd2285, 0xc1d5b037,
+    0xfcbdb14e, 0x8a068362, 0xed8ae8c7, 0x3ba616cb, 0x592cf3a9, 0x05e86afc, 0x0000121f, 0x7a5b958b,
+    0x9d439f92, 0x63d382e1, 0x251ca003, 0x78e363a2, 0x4bbebee7, 0x1090c986, 0x476274da, 0x0ac357f3,
+    0x6d6b03d6, 0xfb815944, 0x39a94396, 0x8fc5c299, 0x858689a5, 0x9172b0e0, 0xe4151716, 0x5614c7b6,
+    0xce02013f, 0xbea154f9, 0x64dbdbde, 0xf651390b, 0xb2f887f4, 0x7670e806, 0xcf08c210, 0xe393bd11,
+    0x6cf16564, 0xa76ef682, 0x088fee50, 0x32114ed1, 0x698822bb, 0xeafe6fe4, 0x309b440e, 0x05197eb1,
+    0xbc48c656, 0xd18fd1f6, 0x8b6e2dfc, 0xa44abdfe, 0xe888fb28, 0xd09e6dde, 0xef84d414, 0x427cbb34,
+    0x8179b195, 0x4ba5de78, 0xbd6be863, 0x705bfce8, 0x9d1c52e4, 0x5d4b0889, 0xad947caf, 0x030d6b9d,
+    0x4a754a98, 0x9edc81f4, 0x6c1d21df, 0xc7c0e46c, 0x0eeee15f, 0xc6fcfb59, 0x372e6345, 0x075546eb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000009903520314283042199192993792 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2bf, 0x924afdbe,
+    0x00000000,
+    0xe2e4859d, 0x51e236e1, 0x9b80cf5c, 0xd8459f3a, 0x5a962bb9, 0xd4cb3e27, 0x4b2f240a, 0x25cf0ce3,
+    0x8a5903d1, 0x15f77669, 0x7db9ee93, 0xdef7d6cb, 0x84bb38c7, 0xa7ae38c4, 0xf8d6c019, 0x301b0318,
+    0x29d01ffd, 0x7d57f2e0, 0xaf45cb44, 0x700fd10d, 0xf8212900, 0x62ada99b, 0xf073d230, 0xb974909a,
+    0x8291a6d8, 0x119cc24f, 0xb9b59efe, 0x6743a3bd, 0xbb0c4fe3, 0x0bfc7eb8, 0x6c410fd9, 0xf58770ae,
+    0xa6f7e32a, 0x0011a10d, 0x08b1f4db, 0x8e7baa28, 0x7a6b02b4, 0x98267f2c, 0xa5ed5117, 0x2073dc0c,
+    0x0159d4fc, 0x9ec2126e, 0xc8547905, 0x019b0522, 0xa63f7019, 0xd18d8701, 0xdad8f6a1, 0x479e382a,
+    0x9ec430b4, 0xe453cf60, 0x754ac383, 0xbb45a044, 0xff2885e7, 0x6ec97c57, 0x3d70f273, 0x2ad79d9d,
+    0x7ba6349f, 0x8298961c, 0x2ead21bf, 0xc0d164b2, 0x4092b09b, 0x90187f14, 0xec9edf66, 0xac7bbb59,
+    0x4cd9e959, 0x79a81065, 0x135a0088, 0x9db5efbf, 0x02ff90d4, 0x279ecd37, 0xb9f6340b, 0xf23d5b70,
+    0x214b1182, 0x1078ca90, 0xb61bddc3, 0xb0224ea0, 0xad0f0f2a, 0x0ae4d1e3, 0xffc9275d, 0x10cc0db4,
+    0x73da0022, 0xba35ee55, 0xee7129e4, 0xa962f166, 0xc5a8dd0d, 0x603d8779, 0x29e5c63c, 0x5e7efd73,
+    0xfd34cec3, 0x0d89c37b, 0xb20092dc, 0xc92ee0e6, 0xbfd60f1d, 0xce930805, 0x9d85e615, 0x8203d419,
+    0x7dd51811, 0x37921017, 0xa99ac0e9, 0x3d9b04ef, 0xf9481fc5, 0xd535ccce, 0xccfb9bc6, 0xec3bfba3,
+    0x167582ac, 0x47b12d8a, 0x4905f8a1, 0x6da97261, 0xe5b68dab, 0xeb7a3e3e, 0x65474c72, 0x248201aa,
+    0xb7799697, 0x5e6212f3, 0x8cb18e00, 0x886a254b, 0x4c4167c2, 0x690672c8, 0xbcaa6d24, 0x1c53e7c7,
+    0xc2d96273, 0x7e0d972f, 0xc8d20aa9, 0x9ca0686b, 0x49858ba3, 0xda8865d4, 0xf9285d5c, 0x3219c07d,
+    0x05fbbca5, 0xd3b73267, 0x5e308188, 0x7d3c2486, 0x8a91aac4, 0x97801e6b, 0xe69f2e18, 0x016560d0,
+    0x9a825c2a, 0xd7cc19c9, 0xfa5a9d74, 0x1cdc4c3f, 0x5d465887, 0x5c3aefb1, 0x339ea85d, 0x22844ffb,
+    0x0399be99, 0xce92fe30, 0x870de706, 0xa3037fae, 0xcb81b003, 0x0bbee736, 0x969382e3, 0x5ea5cddc,
+    0xd3803205, 0xab4f398a, 0xc97840a1, 0x72019e92, 0x4611b58b, 0xf7756392, 0xf9bfcfa9, 0x9127281b,
+    0xb0722090, 0x7cc08a40, 0x0ea23576, 0xcf8508fd, 0x5684298c, 0x4147bdc2, 0xb806b620, 0x31efc204,
+    0x444d21d3, 0x7b2c9144, 0x30ae4a37, 0x196ccc2a, 0x393ad8d1, 0x80d877a2, 0x34c018e1, 0xad6cbed0,
+    0x79c8c3ef, 0x15e1b132, 0x70ec425e, 0xd0d01951, 0x3cd746d6, 0x5d6c7cac, 0x72a4ba1f, 0xb9002ec3,
+    0x1949e2cc, 0xaeb7d36f, 0xd7fe73a8, 0x5fd3e04b, 0x54d2f5f0, 0xfc51ae01, 0x9357ce40, 0xd42b6a57,
+    0xa1ae5b58, 0xcb7178e1, 0x39f97928, 0xc55b7d62, 0xc2b6598a, 0xeea9b2c8, 0x41b0be34, 0x05ca8770,
+    0xf51e4c6d, 0xe0551a9e, 0x36276e84, 0xfc2aeb1a, 0x64a00030, 0x7ac20a3b, 0x72e59ba2, 0x6fbfffca,
+    0x806240c8, 0x49b9c552, 0xc1ae8015, 0x98dfde78, 0x507710d2, 0xa48676de, 0xa2970b3f, 0xddb7eefa,
+    0xd9617e2c, 0xb2c889e9, 0xe4f63459, 0xfb22743b, 0xed55160b, 0xea40c18e, 0x1ed05c57, 0xe76bfff0,
+    0xa1cd965b, 0x8498a9e9, 0x9cf18fbc, 0xf12f1d0f, 0x12d23894, 0xd1598df9, 0xe397c28a, 0xcaee41b5,
+    0x939b8bef, 0x77c275c1, 0xb14c34fa, 0xee24c33c, 0x7e9279ed, 0x635aa10d, 0xe9a8b9ff, 0x6e0fa628,
+    0x00a25079, 0xd4660c34, 0x0a3520ee, 0xe3338836, 0x251742b6, 0xa498b158, 0xdd470d61, 0x7649ebb4,
+    0xc7563f3c, 0x2d20ee1b, 0xd0dbbe3b, 0xeab96543, 0xcfd0ca99, 0xb24db0b4, 0x98d7965e, 0x6a931ebb,
+    0x131e5d52, 0x7fb4e811, 0xcef24d78, 0x51860287, 0xdcf2dfb3, 0xab063634, 0xa20ee39e, 0xde0c199f,
+    0x733fa6a0, 0x8a62857b, 0xac01d76d, 0xe9d90166, 0xb135711e, 0x1ce3d4b4, 0xecacc1bc, 0x6b24b877,
+    0x9a56d8f0, 0xf41dce73, 0x071a28b8, 0x0db4936e, 0x545fe2f5, 0x3f82a1dd, 0x0b7379f0, 0xe7ee9d18,
+    0x929468e4, 0xbd94f42e, 0xc365c2b3, 0x7a1277c6, 0x9d9558ed, 0xdf15b18f, 0xf52df5fd, 0x00e22156,
+    0xc5b25367, 0x5f005801, 0x522f2dac, 0xd34d62e1, 0x83b3e74e, 0x9b72f6e8, 0x2cc078ef, 0xd15affe2,
+    0x31e0abdc, 0x01b3d240, 0xa7f17ef7, 0x7d5a4d4c, 0x032fa754, 0x360ba7d9, 0x6a4fcebb, 0x0033cbe7,
+    0x16ae638a, 0xdcbc35a7, 0x6a564317, 0xc5a6a86e, 0x10c19a18, 0xe24335f9, 0xeb8894a2, 0xf1e8ae94,
+    0xe534c168, 0xad1fc7ae, 0x1b3cb6f1, 0x33db4572, 0xd00f4d48, 0x602a3bc6, 0xa3797f65, 0xc13da5ba,
+    0x6251f2d9, 0xc3e53e1b, 0xa0ca7bc6, 0x7f1b77f6, 0xdb27cf31, 0xa2a18f83, 0x4b86f7f8, 0xced5e49b,
+    0xcfc13cf8, 0xb2b4389a, 0xa855a6f7, 0x8150a494, 0xfb6f4ba0, 0xd24c7c4a, 0x8e86b848, 0x0e5e92aa,
+    0x116c7960, 0xa25edf34, 0xe273283c, 0xe5eb7ce6, 0x35079a7d, 0x62ab067f, 0x29020b2b, 0xd5c3f22a,
+    0x28df2605, 0x4912e1fa, 0x064eac7d, 0x8f7e8b78, 0xd18a2788, 0x77fde015, 0xed8cdc12, 0xeecba7a2,
+    0x775e01ad, 0xc98577a0, 0xe6bc5b6a, 0xb10ff704, 0xb1608d80, 0x29302e89, 0x74505e49, 0xcc3c6b1b,
+    0x18ca3283, 0x53ad1ce3, 0x38617086, 0xe146db38, 0xb5e271e0, 0x214139be, 0x55d6dd8a, 0x37a17621,
+    0xda3dc647, 0x89cb02e8, 0xd8bc6842, 0x7ab58bac, 0x3ff0e3c6, 0xd4367a0f, 0x26f11e2c, 0xd3f7df35,
+    0x34d962f1, 0x446b0b1f, 0x6cefb32f, 0x82aa6b56, 0xe3af0b1f, 0x6fd8e0a2, 0x0200022a, 0xa5f9673c,
+    0x71e5d3be, 0xcf4c35ca, 0xd9beceb5, 0x5ba09591, 0xa62b2e09, 0x6d851852, 0xbcf109ef, 0xaf6ecdc6,
+    0x4ccc64f8, 0xdb740f9e, 0xf2732829, 0x1000eace, 0x0b0e2c02, 0x63e0f9f1, 0xd33a52ef, 0x496b6445,
+    0xfdad41fd, 0xaf0b894e, 0xd9af14c8, 0x346f6683, 0xad7ef7ec, 0x9bccca8e, 0x7f6dae30, 0xfeae6073,
+    0xef581bd4, 0x526c1e48, 0xa0f80685, 0x5ec3bf12, 0x8176d5b3, 0x8af7443b, 0x37af5b06, 0x1cf57c53,
+    0x3b8f98a5, 0xe6c4e4f2, 0x68533b0d, 0xbdfa761e, 0x8953fba8, 0xb7022712, 0xddafd03d, 0x245da4b4,
+    0xfb96f9c1, 0x8c2d2910, 0xcdc23b96, 0xd4b84223, 0x390385f7, 0x10cd7ee3, 0xa30aa3a6, 0x9adf0b26,
+    0x22c5512e, 0x4fdb3045, 0xaa4c8149, 0x84e1e0dd, 0x61e4e0e5, 0x6eaf67e3, 0x780199b1, 0xa6501039,
+    0x0c304dfd, 0x527046f7, 0xe7bd1ca5, 0xaaa5ad4d, 0xad5ecbbc, 0xdc36a80d, 0x07856e83, 0x1a50b382,
+    0xfc7ab390, 0x8373b367, 0x06da4f40, 0xd961d962, 0x5aad7313, 0xe1792b6d, 0xb0452e18, 0xe6f8862e,
+    0x6bc0de4b, 0x870b5721, 0xf6a66c78, 0xb02b2146, 0x5095337c, 0xcc2c5104, 0x2ccb0372, 0x237e0f46,
+    0xc2574f79, 0x7f85836c, 0xaea019a5, 0x36fbbc56, 0x81e658b9, 0x1d0177f5, 0x98eedd5f, 0xdb388eec,
+    0x776a36c5, 0x59965d94, 0xd8b55ecb, 0xd85bd33b, 0xb1a1ec44, 0x8593d75e, 0x974095fd, 0x66a94747,
+    0xa90f2b00, 0x543e4e5a, 0x599bf87d, 0xecc1a82d, 0xa1b37cc8, 0xfc45efa9, 0xb3d5d784, 0x6ccd7fd6,
+    0x49314268, 0x6351aaac, 0xe245883e, 0x5a17f140, 0x755670e5, 0x728f68f7, 0x5821a636, 0x537a309f,
+    0x2d1319ab, 0xc9b41b4e, 0x4b0e64b6, 0x3197f34b, 0x48faabf0, 0x8f6a65f0, 0xe0f5ed57, 0x2ca55703,
+    0xdaf4583e, 0xd97dc8c6, 0xb806cec1, 0x65aebc36, 0xaed52528, 0x630652e8, 0x15156eaf, 0x421a5710,
+    0x53d0ddaa, 0x134b2ced, 0x70eafefe, 0xc686e44a, 0x7b1d2f6e, 0x53c1cbe5, 0x89c7e561, 0x3c039ed0,
+    0x9e9ee710, 0x0ecde588, 0xa992f052, 0x7e92ec37, 0x700a50b7, 0xd8af5028, 0xbe257048, 0xfa3f4a7d,
+    0x2ef1be95, 0xf57fd85e, 0x1b61ebc8, 0xa96dd393, 0x9bea3ad7, 0x67922bf0, 0xe30f07ee, 0x9f4b4511,
+    0x103c1ea4, 0x79e770bf, 0xc8a7a01e, 0x1387459f, 0xa51adc7b, 0x1b65b964, 0xa825bd4d, 0xdd6fb2f3,
+    0x7fcc2738, 0x07d99b54, 0x8d15ba99, 0xaab77e43, 0xe10391f8, 0xa20354a9, 0x247beb75, 0x22f3f443,
+    0x6c4a9967, 0xc7f88be9, 0xa302fd1e, 0x5e5448a8, 0xf386bf11, 0x08e30f0d, 0xf919c1c2, 0xa5349c4f,
+    0xc1464133, 0x3b929cda, 0x87192a21, 0xbc1a1604, 0xaeb80f76, 0x4ecae914, 0x1c7a70c4, 0x19b36bc4,
+    0xa29e07a3, 0x1d95897f, 0x8c1b9ced, 0xc07b47bc, 0xa0f2618c, 0x305746ed, 0x5ff51001, 0x87ac191c,
+    0x031f89da, 0x3f911bd8, 0x0b461c86, 0xbaab697d, 0x74a6faa8, 0xb6e42e01, 0x1e1df18a, 0x603582e9,
+    0x74eb5275, 0x7c9e8331, 0xfba9e054, 0x681ad482, 0xd77e7eb9, 0xf7836fdb, 0x6605349f, 0xe368a0ca,
+    0x7fc16ae0, 0xa242c004, 0xa3f0df39, 0xddf7a500, 0x1a887b19, 0x38d96af9, 0x7abc1697, 0x4840e71b,
+    0x251719fb, 0x36939de8, 0xf250fc4e, 0x721202fe, 0x62b06f5f, 0x088d8d4b, 0xfbd46386, 0x815df55c,
+    0xef35d085, 0xce9fbe92, 0x8f6e3ac3, 0xa9497c80, 0xa23e8f94, 0xac367f39, 0xdda47d86, 0xef4d0c6f,
+    0xe8a7fac6, 0x3b9d4017, 0x0d382a37, 0xe6b68ea0, 0x0c22b35a, 0xd0224a5f, 0x0b6d1a1b, 0xf94c37ed,
+    0xcc8d9e3b, 0x095763ad, 0x8b1eff50, 0x26e6b15f, 0x4b29c74f, 0xb1112e7d, 0xda434d87, 0x1dc58f50,
+    0xa2b9de9f, 0x2fa6300a, 0x1181f3ba, 0x28f5ce4f, 0xae62e2ca, 0xadf28629, 0x8e477692, 0x4de2a2ed,
+    0x2b6f58de, 0xf23fd63d, 0x7bdd2d9e, 0xd9935914, 0xbc7c0dfd, 0xe015dea0, 0x57942195, 0xb65e22c1,
+    0xed528137, 0xa79eb1ee, 0xe8e4064e, 0x17a2d7d0, 0x6606a7df, 0x144cc50f, 0xd9295862, 0x6fb4b0da,
+    0x8f29628d, 0x77c1773d, 0xcf9c4aa5, 0x541f787b, 0xb8c3aa8d, 0x58511f55, 0x4d4050a4, 0xd842a07d,
+    0x5f2b72f8, 0x6071a652, 0x90587a86, 0x5f28a1ec, 0x6ed02430, 0xe09f0e7e, 0x794570ae, 0x12955e1f,
+    0xf35b4fad, 0xdf3a9b77, 0x7d3204ec, 0x39e23423, 0x36b86f13, 0xfe1602ce, 0x96c9fc66, 0x350b3a95,
+    0xb1cc3228, 0x56037ec2, 0x2576072e, 0x05d5fa44, 0x59ff79b4, 0xfe386062, 0xfed94bb9, 0xf0064fee,
+    0xce7c180b, 0x60ebddcf, 0x5f589649, 0x69b41d56, 0xa2e3a224, 0xd1d83143, 0xbbd3ab6f, 0xfe09b5a4,
+    0x7a963002, 0xbfa1178e, 0x551c364a, 0x93586701, 0x891185e9, 0x872986ea, 0x5bc0fd81, 0xf45895f4,
+    0xd2331ae6, 0x97b8dfd3, 0x7ecd59b4, 0x880a31de, 0xb0d35712, 0xf3087a9b, 0x1d1ebf08, 0x50bd524a,
+    0x557b91d9, 0x2dc9bc25, 0x723c213c, 0x20d576c9, 0x77a33e53, 0x1ffbf127, 0x1b6584b1, 0xeca68116,
+    0xe3082cd2, 0x0dd74144, 0xc0f6cde0, 0x1ce5dca0, 0x3176603a, 0x93cc07ee, 0xec89efa4, 0x277aa684,
+    0xb1c6f1de, 0xec25083e, 0x0d3cba09, 0x7d56eb95, 0xd4b6f137, 0x5e0c922b, 0xc58e2642, 0xd3c86cb8,
+    0x5a4c94ab, 0xc01a26bf, 0x1b3829e2, 0x171f9831, 0x1d93af61, 0xfcebd5d2, 0xa08212a1, 0xcd8eb50e,
+    0xb2b4f612, 0xc19b8a51, 0x3c4b4186, 0xbfe1d7f2, 0x4dcc8dfd, 0xbb86fac1, 0x74159e84, 0x5ecd48e3,
+    0x7e830088, 0x5d5f355b, 0x969fabe6, 0xd3f7c09c, 0x66a6a357, 0x97e4e151, 0xe9ddddfd, 0xd30d9f65,
+    0xcc888365, 0xa1d2e605, 0x9319eaf1, 0x79bd3b2b, 0x589a5336, 0x1d37a160, 0x4d30a219, 0xc444b038,
+    0x17f79d18, 0x25235691, 0xc37556d7, 0xdb7f0ba3, 0x8fec6e04, 0xda74b1cc, 0xfe7fd729, 0x73451023,
+    0x9ecc0e67, 0x6ddce6ee, 0xa0fe3215, 0xb6d9f9a3, 0xc14ce051, 0x89e9fb4a, 0x1012b226, 0x3bf9ab4c,
+    0x137f74dd, 0xe0f68ff2, 0x02dd4d17, 0xa333acce, 0xf2bb0c7e, 0x14816d79, 0x6e9878d3, 0x4f5dcef5,
+    0xd0f17819, 0xa67c5319, 0xc79108a5, 0xa4f5ea8c, 0x8604ae6b, 0xe221b8bc, 0x406a9d55, 0x0a7d6d8b,
+    0xce1bc75e, 0xb4ea1819, 0x24c63458, 0xd5e9e0d8, 0x61066fe6, 0xc5b4e447, 0x7dd707be, 0x317389f3,
+    0xe7466a6c, 0x855d9129, 0x20c3fb70, 0x85faa7a0, 0xa9641704, 0x676f4810, 0x99159715, 0x9542ba92,
+    0x5cdcf9d0, 0x349eefb8, 0x01dcfd3d, 0xd0d6c6e2, 0x34c37bbc, 0x41b54963, 0xff5e618f, 0xfc6a04d4,
+    0xa5828f48, 0x0de39b1f, 0xc66c1b62, 0x358c5655, 0xedcb765e, 0x0d007726, 0xee2a580b, 0xf7cd5197,
+    0x5b96587f, 0xb3997da9, 0x8162967c, 0x76d15733, 0x796bae28, 0xbd048edc, 0x4017de60, 0xdcb2b84b,
+    0xf1171b1a, 0x2eea52b6, 0x7e69955e, 0x23c0adc5, 0x50f13012, 0x62e722e9, 0xf69156fb, 0xb12ef3c2,
+    0x32286cac, 0xa2ff246b, 0x111b497c, 0xa505bd45, 0x5ffe4f07, 0xc0928ab3, 0x894ec44c, 0x103e0260,
+    0x78076b68, 0x26a8f293, 0xeea69493, 0x8cc54239, 0xb04f1be1, 0x25eb4bf2, 0x6c3372eb, 0x76f02b46,
+    0x0f9a70af, 0xb437af82, 0xcfe2f05f, 0x4d4c48e3, 0x7845b031, 0x7f23d91a, 0x8b827a0f, 0x6b628d9f,
+    0x51c8831a, 0x3a21e21c, 0xc1848e90, 0x33299628, 0x1af54d0a, 0x4a089ee7, 0xf4527e50, 0x46915075,
+    0xd35ff569, 0xbee3a574, 0xe28b10ad, 0x757d327d, 0x6fc4f73c, 0xca3eb9f5, 0x132bc99f, 0x92c04135,
+    0x1f58fd24, 0xa1955957, 0xf02be3f2, 0x1d98bf03, 0x6006b3d7, 0x44ac0c9b, 0x1e2fee8d, 0xbffc096f,
+    0x7eb0d372, 0x083232d4, 0xaf48cc9c, 0xc7d1e820, 0xbc09a68e, 0xb160b67a, 0x355d4c9d, 0x20e74888,
+    0x57e59dfb, 0x6f1acab0, 0xfb2b908a, 0x25dca2d7, 0x033224a7, 0x33b29969, 0x4f3e3309, 0x4d478c60,
+    0xe6ecfa38, 0x90009c8f, 0x4fc0e814, 0x90bd7e1b, 0x851fa2e9, 0x8a502c7d, 0xc32fd143, 0x034f71fe,
+    0x9e963905, 0x1861e991, 0xea1fd51f, 0x03a41352, 0x0baf293c, 0xb206cadb, 0xbdf52c27, 0x18bc5536,
+    0x67763258, 0xfef8cc40, 0x6cfc5071, 0x5aa91a15, 0x0f7a015e, 0x2574d211, 0x58788d14, 0x8b943199,
+    0x7cee9bfc, 0x68d7f60d, 0x820256c1, 0x06cb25a1, 0xc9120fc7, 0x47c5fc55, 0xbd65ed15, 0x42856bc0,
+    0x6f67cfbb, 0xc660f38e, 0x43753a81, 0x8afb7e0e, 0x154e469f, 0x0cb39c43, 0xd81bcc35, 0xb8ddd9ec,
+    0x86ea0d66, 0x569d6cc5, 0x5790bdb6, 0x9a92f9f5, 0xc4124255, 0x3e7325c9, 0x95c2ea79, 0xbf771fb8,
+    0xee076f7e, 0x202ffc78, 0xec10894e, 0xded7ee6c, 0x7b69decc, 0x15656ae5, 0x2390d7ed, 0x069ac9ca,
+    0x11a419ad, 0x370232e4, 0x410f9666, 0xb2d19c76, 0x66140ea6, 0x68f13dcc, 0x9e61cd9d, 0xe19a2cf4,
+    0x45b8085e, 0x783e0c0f, 0xbe6005e0, 0xef69c683, 0xb2ba20a8, 0x8f2c9dd8, 0x33f6fa38, 0xb45ed4fa,
+    0xd5fff817, 0xcb5cd402, 0xce027382, 0x755d3a6d, 0x6cdef22b, 0x4b162056, 0x2bd32495, 0x1d4c2102,
+    0x72d15c13, 0xbd2020bc, 0xce93dc54, 0x4a160151, 0x5d666cc7, 0xc89acc8f, 0xeedfadf0, 0xddeeb049,
+    0x57104c53, 0x324eaac3, 0x544b673b, 0xbc71525d, 0x5fed0433, 0x0a6932c5, 0x0a1f7b27, 0xac53c043,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000004951760157141521099596496896 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715f, 0xc9257ede,
+    0x00000000,
+    0xf101dedb, 0xc9e90127, 0x8466cba5, 0x53f2358e, 0x1322b153, 0xf4549b90, 0x6e27d353, 0x5219a142,
+    0x304db56a, 0x50f3bbf2, 0x8e090265, 0xca4c0584, 0xeccb13c8, 0x9c07622d, 0x09fad06b, 0x7c2b1d22,
+    0xe9fb52f1, 0x17e062c0, 0x7d9211be, 0x78ac5ef1, 0x60dc8b2c, 0xc68dc43a, 0x32a6162d, 0x45a57443,
+    0x215b9ddf, 0x91dfe25a, 0x68a8c290, 0x35ecd40c, 0xffbb28e7, 0x0e1338df, 0xa710ca5f, 0x40b79b11,
+    0x2ef1c277, 0xbdfac665, 0x770a2061, 0xaa3aa780, 0xa8c8f8c0, 0x0463d7bf, 0x61df011a, 0x7c26925f,
+    0x812782aa, 0x6dd7ac8b, 0x0f23ac34, 0x6ec4f946, 0x1e06b061, 0xe720911c, 0x234ff045, 0xc638deeb,
+    0xef6b77d8, 0x298faef2, 0x594ea621, 0xb3549565, 0x0352d2d3, 0x47e3fde3, 0x064ccdc5, 0x88793085,
+    0xa0ae3a2c, 0x90d0e564, 0x80b31699, 0x4958f594, 0x7f5d9a07, 0x2649ca0e, 0x01f4dd55, 0xe6f28cff,
+    0x5f736162, 0x849fdcb2, 0x79bdf77d, 0x30503b81, 0x2add54c8, 0xc7d1a80f, 0x925f0d1b, 0xbe2fe208,
+    0x7c11cb87, 0x3d6757fb, 0x4409e0ad, 0xe67ff63f, 0xe3f5c640, 0x5bf1b18c, 0xb03e370c, 0x99e53e4b,
+    0xe52c3a56, 0x1b9458a8, 0x11982f25, 0x78181669, 0xc817c77c, 0xaf5d17a2, 0xa52c5468, 0x9cc183c2,
+    0xbd4995e1, 0x93ece8ac, 0x5c1c48b6, 0x44b08fda, 0x0071a195, 0xbd797648, 0x3ac4a776, 0xfaa5d718,
+    0x15d0e0b5, 0x74d69036, 0x3ca87305, 0xbbaea434, 0x6c833b3a, 0x68e26f0b, 0x94b0b286, 0xc3864211,
+    0xabca453f, 0x3bc70fee, 0xe9e3aa82, 0x62c8520d, 0x768c0406, 0xb965eaf8, 0x967245df, 0x3a898f77,
+    0x8d510b95, 0x3533e003, 0xf81e714f, 0x26cb87e8, 0x5584ee82, 0x87b1f396, 0x06f1bbae, 0x34e297d7,
+    0x40042827, 0xbd53787f, 0x4bf11bb1, 0xfc733837, 0xc3a032ce, 0xcd2ad525, 0x6ff706b5, 0x9226eab6,
+    0x8693fc4a, 0x90ee775b, 0xcf78cec0, 0x9db6709e, 0x698d51ce, 0x5dea4102, 0xb89d837c, 0x352bddad,
+    0xba5c0205, 0xef1fde63, 0xbaa9dfa6, 0xe189581a, 0x01d35681, 0xe1c40626, 0x70d1ff3a, 0x7e69d8ce,
+    0x5f1156c6, 0x79f95b53, 0xec77e4de, 0x712bf992, 0x9a6774da, 0xb49216a5, 0x72d3b426, 0x0d8bc151,
+    0x2fbc5989, 0x7f0d1db9, 0xc969fec3, 0x5a8066a4, 0x2053872e, 0x382dd9e4, 0x68961ebe, 0x79673dc2,
+    0x84ce98e5, 0x7345c024, 0xf52316c4, 0x38b2c5bd, 0xb9022e7d, 0xaae43eea, 0x1e165e60, 0x4233a089,
+    0xd96bcc95, 0xd2ab958f, 0x96b578f7, 0xc2710d14, 0x7ae865a5, 0x5c4618bf, 0x4adf5a73, 0xd0dcbed2,
+    0xdf825eb5, 0xd28423c8, 0xac61f306, 0x3769be99, 0x044d04e9, 0xdcd451bc, 0x73e77548, 0x22ebd9b0,
+    0xcb69c899, 0xbbf13a9d, 0xdf0c88a1, 0xc6407789, 0xff85a2ac, 0x814eef40, 0x5cb0e3da, 0x423a201c,
+    0x58b00737, 0x936638cf, 0xeeed8e26, 0x3b0bacd1, 0x548d7f96, 0x9708cd69, 0x3381e650, 0xbea608be,
+    0xc710b410, 0xe3b7b47f, 0x3e8cbbe0, 0xd7fed8e1, 0x303fbd64, 0x6082d2b0, 0xeae501b5, 0x9b91b25a,
+    0xf9fc508d, 0xcd4c0965, 0x861f2be9, 0x02ae8fae, 0xf1220059, 0x24b48df7, 0x3e6912cf, 0x51acc08e,
+    0xc95524ca, 0x700951f0, 0x21b9d44f, 0xbbed4d75, 0xefc83d15, 0xd53a4136, 0xda350e09, 0x5eb33da9,
+    0x8df0a244, 0x04541766, 0xc976f08d, 0x757c79bb, 0x01b1086e, 0x29b6e3a3, 0x68af919d, 0xa96e95c4,
+    0x3e9d076b, 0xcdb125b3, 0xf026c328, 0xc112636e, 0xf6e06f8f, 0x104eb451, 0x29b21963, 0xb26e5b8c,
+    0x7a545f12, 0xf8b464bc, 0x0345817d, 0x68a6c82c, 0x0b645b5f, 0x5fda856b, 0x7c0d588b, 0x280db652,
+    0xd3c6894e, 0x724adb46, 0xc2a884e6, 0xf59ab5d2, 0x86aa6580, 0x7025906b, 0x99a1804d, 0x3836a027,
+    0x0c67855e, 0xa519f2c7, 0xfdc9f2c2, 0xa4ce06da, 0xcd77076b, 0x4dbfa8cf, 0x1fe1ddf6, 0x3a020f1e,
+    0x68636209, 0x24181330, 0x70b3beb9, 0xd740b4d8, 0x2aa0ec7f, 0xa64cb1bd, 0x6d093eec, 0x57cfd764,
+    0xc75347f9, 0x1655832f, 0x37daf75b, 0x98f4edc7, 0xdc8b08c2, 0x31770c39, 0x061350dd, 0xa705ef6b,
+    0x8cbdd1f5, 0xfdebdd03, 0xe6dc7003, 0x881c6461, 0xee16c423, 0xc53b2c4f, 0x345d39c6, 0x6a16e4d0,
+    0x85f9292c, 0x6e0f3918, 0xb58f43d9, 0xc3c0e550, 0xe25880ae, 0x0c53bede, 0x709cf1aa, 0xdb74d91d,
+    0xd13f84e4, 0x675af939, 0x5723d212, 0x7e3b1ddd, 0x526d1ad2, 0xff8c73fd, 0xb86e389d, 0xef3372d9,
+    0xe6e41deb, 0xa6c88b09, 0xe2b7d7ff, 0x6b694428, 0x4e1b0179, 0x6442f486, 0x56f9937b, 0xf1a720f1,
+    0xfb964625, 0x87eedb71, 0x4b79d797, 0x3979969f, 0x2e63a27a, 0x9958ce31, 0x8b304359, 0x11bb8cf4,
+    0xb22ee81b, 0x83644550, 0x23e33d46, 0x0601bf15, 0x86d5f653, 0x9467aa1b, 0xa19701af, 0x4e74e56b,
+    0xd006d50b, 0xec92d7c2, 0xa347a224, 0x7b889e93, 0xb9a45889, 0x0f9406bd, 0xf485dbf6, 0x1a6df88f,
+    0x7fc4bc02, 0x85a2e2da, 0x1a022a74, 0x2fcd5122, 0xe61b60f2, 0x20b3b0cf, 0xb7e2423d, 0xfc406fa1,
+    0x6a15c655, 0xc474b36f, 0x1892ecfe, 0x35f30d2f, 0xc195aa71, 0x8d5e41b4, 0x24b71aa2, 0xb55d45d1,
+    0xaa52c659, 0x22978aa3, 0x8075c202, 0xa84d3264, 0x78867241, 0x94924358, 0xf697730c, 0x6262d71f,
+    0x6f4dce3f, 0x81063d2e, 0x8c24b1e0, 0x1c5f9ff9, 0x85e4a5e7, 0x18936e29, 0x9074e4a1, 0x8f5d4d79,
+    0xb626cdfd, 0xcdedc1db, 0xbc155599, 0x54a7e9f1, 0x74690050, 0x9c79af89, 0x4e08c1d4, 0xbc5e275e,
+    0x9d730528, 0x83097421, 0x09a00a35, 0xe45f2265, 0xe99aa944, 0x77c4bc5a, 0x81878be7, 0xbfbb1b01,
+    0x5abe41af, 0x4d86d340, 0x3af62acf, 0x36b905f9, 0xa72376ce, 0x01e95f64, 0xbb27b4de, 0xf6150f96,
+    0xda6891ce, 0x82b87ee6, 0x8bdf423a, 0xc5b40425, 0x387b62f3, 0x96eadb75, 0x7776a926, 0xaa1efdcd,
+    0x51f5d7e6, 0xc5f3782d, 0x606a8723, 0x984f577a, 0x8913453f, 0xc402edd1, 0x92efa59c, 0x9181dde4,
+    0x801c2798, 0xa6dad324, 0x67c07ded, 0x1b7d1df3, 0x8eb59094, 0xe224d3ba, 0x808e3a49, 0xa4065dad,
+    0xdf4715c1, 0x461487e4, 0x6d761708, 0x298d8d1f, 0x62d238b4, 0xa10e4b50, 0x7f1e5d4a, 0x4f31652d,
+    0x16a27009, 0x2d0de0bb, 0xbdc866cc, 0xda87df94, 0xbb2e1382, 0x6caa0125, 0x98ae25a3, 0x05e07988,
+    0xd67cfbd4, 0xf7b79626, 0xf858a0ac, 0x2bc42edc, 0x13d1ed51, 0x7c3d09ab, 0x4349999d, 0x30b1a584,
+    0x56212ec1, 0x845f0173, 0xd71428ee, 0x6c65e631, 0x6d070a0c, 0xf6a1c768, 0x614b7141, 0xe22bc25a,
+    0x3c5d75e8, 0x18641d57, 0x3dce78e8, 0xa167a5e9, 0x96d07e9d, 0x4d60fcc7, 0x4dd2f4ec, 0x1a59b8bc,
+    0x0623ca61, 0x7b06d8e9, 0xca7f296e, 0x256c3e26, 0xf464f8cb, 0x20322042, 0x3ce46c31, 0xce0dcbfa,
+    0x9fcfca6b, 0xc38e6511, 0x7d63a05e, 0xc10c547a, 0x9be80d75, 0x3eaa239d, 0xebf9d807, 0x6b25c2ee,
+    0xe55de7d0, 0xf5426976, 0x363be375, 0x55dfefdb, 0xaf40c54a, 0x046b7b51, 0x4eeefcbc, 0x2dc7dc4a,
+    0x19e669ef, 0xfa627706, 0x4be9f78e, 0x16c341fc, 0x48995863, 0xaf2020a4, 0x6e81481b, 0x9995cffa,
+    0xd60d954a, 0x1ef9308e, 0xc10c649c, 0x4be5fa43, 0xf8ffdf43, 0x40ef32b4, 0xd83bd758, 0xab1e8a97,
+    0x6e60ee69, 0x06e07d5a, 0x3387d091, 0xb798476c, 0x16eee91d, 0x2f4226ff, 0x767d028f, 0x185b7d8a,
+    0xcb65fbca, 0xf7c27854, 0xbc8b404a, 0x76a13da9, 0x8306a784, 0xefe7b058, 0x023296e4, 0x43f603f4,
+    0xc13711eb, 0xb5f8c46c, 0x7231dcd0, 0xd8e706cc, 0x68036408, 0x2eca26d5, 0x8f11aed7, 0x5c4a8216,
+    0x51159582, 0xbd1c5076, 0xd92294f4, 0x959c748a, 0xfcbafc73, 0x4d241635, 0x874d187e, 0x6b8774d2,
+    0x2b731db9, 0xc843989d, 0x192de115, 0xfbd274eb, 0x72b97a25, 0x65a67516, 0xc230585c, 0x8c18f470,
+    0xad614028, 0xa0889bbf, 0x09552d5c, 0xef7ff801, 0x35e9b159, 0x1527eac1, 0xf1d1b44b, 0x0b08f6c8,
+    0x5c891386, 0x069aa0c7, 0xed958bab, 0x884c1f45, 0xf6e16564, 0x9ca3e05e, 0xf01ffb33, 0x2e5ec824,
+    0x6d096cdf, 0x9ca8ffe2, 0xa207deef, 0xaf2fb3cb, 0x1d057884, 0xae1b6816, 0xfd14a13c, 0x1d6a0999,
+    0x9e46b0d7, 0x41c6c77c, 0xb3527323, 0xd97616b7, 0xa08e7aab, 0x1f42e5be, 0x157b6df4, 0xc91dc004,
+    0x09a413bf, 0x76b59132, 0x9cf00aa5, 0xbba986a2, 0x60a1d06e, 0x6a9a3363, 0xac338982, 0x3f724ea2,
+    0x1a30630f, 0xd22cd477, 0xafef8c1f, 0x54a6a2a5, 0xdeb10006, 0x974d8292, 0x80c1855f, 0x91fdcb71,
+    0x5b0d95ce, 0xfb4b6a3e, 0x250edd4f, 0xd580c470, 0xeba93090, 0xbc56ffe0, 0x014823e4, 0x1590ad55,
+    0x65bcf496, 0x7d9d3674, 0x7dfa9eae, 0x17cb2f20, 0x6e91ee4a, 0x43e9f751, 0xb51f70af, 0x15b79cb7,
+    0xd78321a8, 0xfe08e9cd, 0x537df8a9, 0x0008d5e7, 0xd5d58487, 0x1e804128, 0x8b66c713, 0xacd3aa98,
+    0x8ae59566, 0xe009cd12, 0x1a794085, 0xfc8c6831, 0x22296646, 0x91c4efaf, 0x0f443459, 0x6daac17e,
+    0x066a791b, 0x2505650f, 0xe588e1e0, 0xffac70d0, 0x042ca498, 0x6b08ed6d, 0x1add9b1a, 0x02abddd3,
+    0xe45fc628, 0xbcc6b478, 0x43964960, 0x25147d3d, 0xa80efc95, 0xb10d4891, 0xc5d94e99, 0xe15ab261,
+    0xee50a37f, 0x81fef557, 0x57077629, 0x587341d6, 0xd4a98091, 0x31a688c6, 0x5b58bd20, 0x7770de2f,
+    0x1c821b0b, 0x0d3af5a5, 0x996dae49, 0x23cf3757, 0x329724ef, 0xc8fe324a, 0xf8fa9171, 0x5988f99f,
+    0x2abeea9b, 0x692dcfa2, 0xf88472f2, 0xe3734b6c, 0x3e877f73, 0x822614e5, 0x6b2bc90d, 0xf9c45b10,
+    0x02c0d14a, 0xd9d73456, 0xd4bd69f0, 0xf8fda243, 0x5247ddc7, 0xa52f6b81, 0x822a5e7e, 0x428e2e51,
+    0x52351fcc, 0x94d40e3f, 0x997dd4d1, 0xf6af4dcf, 0x27e082f8, 0xd0abdd40, 0x0b3b51dc, 0x604de3fb,
+    0xb8313da1, 0xb1742c40, 0x64ba6131, 0x7ec815dc, 0xe53b7e2f, 0x1728844f, 0xcae96b02, 0x548867ff,
+    0x8c001cae, 0x13cfa478, 0x4d877882, 0xe28acb31, 0xdb85472b, 0x94927e71, 0x16822a54, 0x2e8fdeef,
+    0xa9cd91d5, 0xb2456d9f, 0xec960a60, 0x2db3e52c, 0x3b7bee23, 0xa7e9d6aa, 0xab156b5a, 0xd5879eac,
+    0xb927446b, 0x516448af, 0xb501aa26, 0x808db0da, 0xfc3e266c, 0xde6e72f3, 0x1dbe6f5c, 0x408097e7,
+    0x536ea9c8, 0xf66817aa, 0xa7c7daa1, 0x04e513a4, 0x0295dea0, 0x17954a9f, 0x793a9157, 0x4d4926f2,
+    0xde0c91dc, 0x42403998, 0xcfb6a5ec, 0xf4eb9e2c, 0x92735378, 0x352bc688, 0xe4deda16, 0xbc077496,
+    0xab956827, 0xcbd91a00, 0xa1f2bed2, 0xaa518e34, 0x69c41465, 0x9b410915, 0x0cf64a43, 0x53582972,
+    0x5497f10f, 0x6d11ad15, 0x98c8dff6, 0x17c59edb, 0x8dd112ab, 0xc78040a2, 0xcbce3686, 0xa29a4485,
+    0xaa4cce13, 0x1f0d37a0, 0x34611a66, 0xbd49b5d9, 0xd899b0c0, 0x0ba319d2, 0xd5b6c395, 0xd5e2493e,
+    0x5d9776fe, 0x74d987b3, 0x5661caeb, 0xec122245, 0x57d5fb11, 0xfa9c5cf4, 0x082b84e8, 0x8951e480,
+    0x748aa4d9, 0x1dff628d, 0xba1417c1, 0xb50eb110, 0x854c0f4c, 0xd6bd7385, 0xcae29631, 0xfd31d6fb,
+    0xa0f67712, 0xac6b7b7a, 0x4793879d, 0x99918f1a, 0xd680448b, 0xb0a8a1b5, 0x74f59083, 0x45d8a3d6,
+    0xf05a6833, 0x5ddb0a8c, 0x1eb718b9, 0x026f8059, 0x1c331b74, 0x89c765fe, 0x8046d86c, 0x3a158dbb,
+    0x974b0f4a, 0x397ab7a8, 0x1a4d9c9d, 0x7d7d9e20, 0xc8ab0df4, 0x1751b0af, 0x44f331e1, 0x2b3966ea,
+    0x343d17b6, 0xa2714bb9, 0x03199c2f, 0xfbef099f, 0x38ffdae1, 0x3176ec72, 0xdc93e5f7, 0xb21999f5,
+    0x664910e2, 0x837b1e56, 0x3c052dbe, 0x0274fca1, 0x2c748d18, 0x8b9ad42e, 0x8f410aa9, 0xfa7e0627,
+    0x6bfc5b25, 0x498a2d3a, 0x14250248, 0x8ff2765a, 0xc5099b07, 0x49dd5ee9, 0x5adfd809, 0x5a296a75,
+    0x729417eb, 0xc7a14203, 0x2c0743ff, 0x5a40501c, 0x5b45c73c, 0xa46c107e, 0x09e26eb0, 0xbcb255aa,
+    0xdeeea244, 0xfe393c00, 0x1e1926a6, 0xdad78b07, 0xdb8288fb, 0xaa88ea2b, 0x79730bc9, 0x564f0fe3,
+    0x93dbcf15, 0x92dacbc3, 0x68661418, 0xb12c1f6c, 0x565d941f, 0x481b2bc9, 0x5b1662d1, 0x5d4096a0,
+    0x81f8b31b, 0xf5c0f6db, 0x98673a0f, 0xfb90f816, 0x369dc6aa, 0x87421126, 0x02de4a6a, 0x597b7320,
+    0x8a9c56a8, 0x35412fcb, 0x2f32a9d8, 0x81abd264, 0x9949770b, 0xa9cb643e, 0xc36df218, 0xd4216bbe,
+    0x3667ed62, 0x39af9f07, 0x9e1eb25a, 0x5de422e7, 0x89232b4e, 0x99e5da4c, 0x855ed5cc, 0x7845b0f7,
+    0xa494984f, 0x5c5bb5ad, 0xeea6626d, 0x1a5d19b5, 0xc3377a2b, 0xd8516670, 0x9da5764e, 0xd6d54897,
+    0xc37e7634, 0x3a5f0358, 0x8e6ed1a4, 0x686b0949, 0xf3ec9f65, 0xbcf66ff1, 0x3d899c88, 0x2d18f7ce,
+    0xb7b75796, 0x71981ee2, 0xe6b52078, 0x4aadcfdf, 0xffbe9391, 0x150eec67, 0xd1d89ba3, 0xe9e60542,
+    0xcfbfcf8e, 0x29c32b20, 0x206fe279, 0x8d1a67b5, 0xc04396d7, 0xed88a3c4, 0xa06beb0d, 0x8a64314c,
+    0x83b88555, 0x826b883a, 0x3d097b11, 0x7d9e9856, 0x9881db43, 0x009068f9, 0x77cf5f38, 0x214e1d22,
+    0x2e0cb9a8, 0x742c8f0f, 0xcfe65d38, 0xf8f28d30, 0xe9c12d12, 0x6d8c7fcb, 0x3a4a9907, 0xb5e59285,
+    0x33d50d98, 0xbee11c41, 0xf30cc8e7, 0x3aff9495, 0x60afdead, 0xf5e25a0a, 0x1362873e, 0x2a7f2281,
+    0x0ea010e8, 0xdc60259c, 0x39162ed9, 0xa51d95e5, 0xf5f8b2cb, 0x259cbcfb, 0xf29bb18f, 0xbc42fabc,
+    0x39a27607, 0xe0e1497a, 0x3ef4fcf9, 0xa98036f6, 0x3b77165e, 0xa727cc49, 0xa7a2d702, 0xd7dddc47,
+    0xc1d29e0d, 0x21bb1a63, 0xc5a39182, 0xcda9c355, 0xb38b5637, 0x8d1a7537, 0xf7241b94, 0xc9355ee7,
+    0xfce19303, 0x51e9712f, 0xe9cbd474, 0xc4be4b51, 0xcb0ab1ff, 0xa4c8a5e1, 0x31526571, 0x980231fb,
+    0xd85233b0, 0xa468e737, 0xe381fb5b, 0x12c61002, 0x08038c7e, 0xef6abca5, 0xaf72ad51, 0x459047e0,
+    0xda810d91, 0xbf6828d1, 0x16793967, 0xd7b3a4f8, 0xe08f4632, 0x03aa6d7a, 0x1e5d3d9b, 0xc71d82b4,
+    0x610a2d7d, 0x53dbdbfc, 0xb7696c8b, 0x6bca3331, 0x534057fd, 0xedf5817e, 0x2adf2d84, 0x6d58ccc1,
+    0x695c1f49, 0xca8b67fe, 0x450a0910, 0xc0e9e405, 0x4a8bc573, 0x678cf224, 0x71a14cc6, 0x91652990,
+    0xff9fd40a, 0x770c1014, 0x55a15adf, 0xd6d034fe, 0x790c2b52, 0xc5b93b2e, 0x296f166f, 0x89eaa6e4,
+    0xddc2780c, 0xcc2d99c5, 0x405bc041, 0x81007d9c, 0x6a5ca031, 0x2a17de31, 0x1cf669da, 0xba3c214f,
+    0xce2236a9, 0x0e2bbcdc, 0x394e3af4, 0x19750e11, 0xe74c89f4, 0x067722b6, 0x54a5cc1e, 0x2438a824,
+    0x22aefed7, 0x01983ab9, 0x2d7850aa, 0x93047bb7, 0xbc6f7ac6, 0xe9bf223b, 0x6c4999a2, 0x2cd36008,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000002475880078570760549798248448 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8af, 0xe492bf6e,
+    0x00000000,
+    0xf863fbc5, 0xb97af473, 0xcb48f296, 0xfaa17407, 0xddaca252, 0x11c6d5bb, 0x2a43e047, 0x6743e17e,
+    0x5c002ddc, 0xf9a0d0fd, 0xe351c959, 0x50971940, 0xaab9b0cd, 0xbcf6c3c6, 0x496adf2a, 0x62bcd872,
+    0x768a0bca, 0xed9c3ee2, 0xfd882bef, 0xcfac3f71, 0x9b3020fb, 0xd7002534, 0xfce41b53, 0x745a47dd,
+    0x826a73ed, 0x4449a321, 0x86ab1207, 0x1988fe5b, 0xc27285c6, 0x91d15bde, 0xa5437506, 0x7ea8c4aa,
+    0xbc3f41d4, 0xe2a3928b, 0x3b6fa4f4, 0x3f135d17, 0xff2f45ad, 0x62d62098, 0x8504ecc7, 0xeba602d3,
+    0x223e8268, 0x9c2e1ec0, 0x72fde908, 0x644596fe, 0x81d74c1d, 0x50dad0f8, 0x619866a7, 0x4c392514,
+    0x7b8484b1, 0x3449bfd6, 0x5484929f, 0xbde1f763, 0xfe9ac6a2, 0x17d76305, 0x96dc51ce, 0x78614d69,
+    0xe6f2dd88, 0x5dd6daf4, 0xbb3f2d5e, 0x741ce23a, 0x6835670f, 0xd32fb2a2, 0x55c06376, 0x41512c1a,
+    0x3238acef, 0x0ec71c49, 0x05ddf740, 0xee57e106, 0x91c45100, 0xf58bb00f, 0x0dd4d82b, 0x16e4baba,
+    0x18b643f3, 0x9597871e, 0x436628c4, 0xeb055111, 0x81aa7a31, 0x9dc61851, 0x4118c665, 0xc8ebb58a,
+    0x94a9b078, 0xd687f6a6, 0xdea1fc31, 0x25972d55, 0xf2b99a32, 0xcc0aa5fc, 0x259be8a9, 0xccae390c,
+    0xaa5273da, 0x6538c1c8, 0xd08aadd6, 0x415cb2a5, 0x544dfd2c, 0xe2affecd, 0xe52827c4, 0x81686043,
+    0xfb214066, 0x7984292d, 0xbbebd51a, 0x24ead552, 0x4414763b, 0x7f7cf420, 0x8f05eefe, 0x1aa1029e,
+    0x15e66a14, 0x5b80a97d, 0xeac81056, 0x915b0f40, 0x55acf993, 0x9d0bb648, 0xea25c5bf, 0x539e358e,
+    0x29cc26e8, 0xdadc7222, 0x437c3e80, 0xbb779e23, 0x1f1045a8, 0x6b5ea055, 0xfe4507cc, 0xa5056de2,
+    0x3d9bf792, 0xba3230e4, 0x52d25e0c, 0x52de0b08, 0xc8215949, 0xb917ab16, 0xbad1b3db, 0x5c345d5b,
+    0x8deb25e1, 0x802c6da8, 0xc23565c6, 0x571b5a05, 0x484f874b, 0x4bee5e0b, 0x21b898d9, 0x76722211,
+    0xb31bb79e, 0x21246218, 0xecf9d8b0, 0x000c6cd4, 0x3d590491, 0x87566e03, 0xee09546f, 0xf9a836d0,
+    0x630f0f3d, 0xf7fd3913, 0x8c30c9ca, 0x64753407, 0x9ca5be0d, 0xa74cc468, 0x436d4664, 0x149b2ec3,
+    0x92125c87, 0x25bf8d18, 0x8f147e52, 0xd86ce9a9, 0x69a0d0e8, 0xed15bee4, 0x420d1e18, 0x5c783c5d,
+    0xee41c533, 0x05f4e85f, 0x072e749b, 0x45dfab2e, 0x6c03be2c, 0x3564adcc, 0x0a863ffc, 0x0ab2c002,
+    0xcf0a97c1, 0xdf1b3de9, 0x423f022c, 0xaaf9c866, 0xfa484001, 0xa29368ba, 0xc467718a, 0x48d53efd,
+    0xa0620c47, 0x2df980ad, 0x429fc177, 0xae901566, 0xfafaff10, 0x36d31e72, 0x6ca1bdba, 0xc76197d5,
+    0x45882d31, 0x3dc82824, 0x636a40b1, 0x5e156842, 0x3191f8e4, 0xffe838c7, 0x2885613b, 0x0fce75f7,
+    0x3979744e, 0xa3de8a3d, 0x1059cdd9, 0xf14b138c, 0x4bbc4b8f, 0xf33ee9f5, 0x841d05ef, 0x37828106,
+    0xcee45142, 0x4fd5b41f, 0xcdceea30, 0x896bbb26, 0x9822fbc3, 0x92a957a5, 0x62dc969f, 0x1f6d3816,
+    0xad83f18b, 0xcd5dd3d2, 0xe60eea3b, 0xbc8df25c, 0x73ac20b6, 0xd3497b03, 0x8b79ae10, 0x2a75beed,
+    0x5914ea43, 0x2eac5cb5, 0xeb920fbc, 0xe3f67bcf, 0xb6554c33, 0x50cca535, 0x6df560b5, 0x333c5135,
+    0x03f1ffba, 0x3ddddf6d, 0xac8107df, 0x956dc4b3, 0xbb2a2608, 0x1e3c0344, 0x65902f92, 0xf38938a0,
+    0x8f78e06f, 0x57e481dc, 0x1c4b3cf0, 0x1e4f4f16, 0x2f6218a3, 0x748bdd03, 0xfd2e52c8, 0x3d6cbcbb,
+    0xd6331b7c, 0x1506396d, 0xb2e77bd6, 0x39bc3d0e, 0x61371f59, 0x2779f048, 0xac238b35, 0xa00134a4,
+    0x20c176a9, 0xb568e8db, 0x12fb360e, 0x07738f81, 0x1cd9856c, 0xdfd731f5, 0x1bef1c87, 0x31287fb3,
+    0x747976c3, 0x9613b75a, 0xe70fc69f, 0xefb82695, 0x7956b7ff, 0x6b7aacde, 0x76b06184, 0x796f4ad1,
+    0xc3b26a29, 0x7813d610, 0x6be4b563, 0x96642415, 0x4de24329, 0xa982c977, 0x5bb42d4c, 0x31804f0e,
+    0x0bc1108d, 0xf37fdc9f, 0xba6d1436, 0x8ed28c2f, 0x4d0f0892, 0xf4e947d3, 0x312cf372, 0x92e9cb05,
+    0x0b5b8a3e, 0xa6bb2844, 0x56ff0a7c, 0xc8e46e4a, 0x084cdda7, 0x77b8039c, 0x4d9cd741, 0xf0a205e1,
+    0x3c67926d, 0xce4f09cd, 0xf43aee60, 0x10a94af9, 0xa2117d4c, 0x8e610c1f, 0x51177a7a, 0x7082b12b,
+    0x7db3ae7a, 0x488b1a69, 0xd903d335, 0x2fd94ec3, 0x03486545, 0xda6d36a9, 0xf0d04979, 0x230d1de2,
+    0x38496ae4, 0x23cc6142, 0xf21ecc21, 0xdb1c5e1f, 0x0ba7856d, 0x1493ec76, 0x39aa209c, 0xd5f9b265,
+    0x6a63fc55, 0x5d697fd4, 0x5e2a1b4a, 0xf63e4e28, 0x6c52abc1, 0xfe9dfa53, 0xfe322be0, 0x61511ae3,
+    0x8979bf2f, 0x56e5e104, 0xff9b745d, 0x521f5c4d, 0x2a1e1ce6, 0x713319fa, 0x8bf4b540, 0xc0dec3db,
+    0x684b8c52, 0xaa9579b1, 0x710149b6, 0xd0f2df32, 0xcc812a46, 0x6e17c8eb, 0x7372e534, 0xfa68da9c,
+    0x06b23630, 0xde6f772f, 0x42fb5ee5, 0x4c4328d2, 0x4a255c35, 0x5f9d1090, 0x6919981f, 0x59a04905,
+    0x3eda1916, 0xc7baad7a, 0x68f038fb, 0xa348a969, 0x37492e23, 0x72ae1638, 0x39b07655, 0xf2e5284e,
+    0xb9c178ee, 0x7c3f5bd6, 0x76db167f, 0x80221ca6, 0x956df1b5, 0x00312922, 0xfdc3e7f6, 0x0a7b6505,
+    0xa3f77a3a, 0xeb68c82b, 0x2bce1d6e, 0xef040e94, 0x45c50a8b, 0x2f1336f2, 0x7b16c188, 0xec0ec6b2,
+    0x68850119, 0xea8d6bdb, 0xe2f0c1eb, 0xc476ed5c, 0x7a2f7a32, 0x038d99ef, 0x72a4536d, 0x71e65bae,
+    0x0456b4c6, 0x8ad7440b, 0x3603d068, 0x4547b6f0, 0x6f78cbfb, 0x0deb3286, 0x854d7059, 0x99c699ef,
+    0x3035b708, 0x26d00ba1, 0x3f0d016c, 0xd3def282, 0x2de2d8f2, 0x2fd073ba, 0xbfff64d1, 0x427d704c,
+    0x4b44806f, 0xdcab7c68, 0x5c595f6d, 0xb58a4d9e, 0x66663cf6, 0x2d67ae77, 0x595b9654, 0x532cb507,
+    0x0f13ea1d, 0xc5070be4, 0xbdc59e7a, 0xc2fed2b9, 0x50713323, 0x7261f248, 0xda4b9c56, 0x27cdfa47,
+    0x9f8717b2, 0x30f51f3f, 0x6a30659d, 0x42c8ef1e, 0x1074fd9e, 0xbe92d773, 0x57568825, 0xb1d53f99,
+    0xd95056c7, 0x64462280, 0x3468f7d4, 0x54a83383, 0x86f08ecd, 0x2718828d, 0xb95bcb1d, 0x2ae6b0d6,
+    0x1b0e6937, 0x76af3d56, 0xd8a1d9bf, 0x564e63cf, 0xefda6cfd, 0x9cc46355, 0x63ff734e, 0x1f9ff1a6,
+    0x0e3a3a3e, 0x070ba651, 0x5fa04511, 0xc86cfd20, 0x07c97e58, 0x52e4d8ff, 0xa771931e, 0x724ba403,
+    0xefeccc28, 0xfa6da3c9, 0x888c8616, 0x0a71a43b, 0xc26c1c8e, 0x65f92bed, 0x351adda9, 0x4c2541fe,
+    0x6fce92e4, 0x7dbde26f, 0xaf465130, 0x8ca7c9ea, 0xb2595a88, 0x7d41a802, 0xf0883fb7, 0x7f8dd4ef,
+    0x724e72c4, 0x9ed2a375, 0x1e69d5de, 0x78ebc46c, 0xce757ade, 0x8772023e, 0x2b141708, 0xb940f1de,
+    0x35cc8f6d, 0x8a40de56, 0x1b955384, 0x9e6a096b, 0x6ec610c7, 0xc3651925, 0xbce6b32a, 0x1485e730,
+    0xee896ddd, 0x9e26c294, 0x10bfcc2c, 0xa5b3d40b, 0x312a55ba, 0x9e74a5b4, 0x7fe0a32e, 0xeb79fb7c,
+    0x177dd0e0, 0xfd3d3184, 0x65661485, 0xa7ff6654, 0x1a20569b, 0xe38ee5e8, 0x48863d12, 0x22061c50,
+    0x2e6600ba, 0x678af0d0, 0xaa6376b1, 0xec09ea19, 0xf54016ea, 0xcb54667f, 0x451cd9d2, 0x5d590fc0,
+    0xca72fc5e, 0x2e064a6e, 0x87526db4, 0xb71e17ce, 0x0e4f5d01, 0xf3f9c3c7, 0x88b4f5c0, 0xec630b36,
+    0xb1c1214f, 0x9f4e9783, 0x92895b31, 0x638fd043, 0xd499979d, 0x2b1b8aa8, 0xc35b56fc, 0xbd0be980,
+    0x49d3254d, 0x34503c2b, 0xf7c02efc, 0x1bbb78fe, 0xc45cefa3, 0x0529976d, 0x4ebf0e2e, 0x5c484142,
+    0x69842a56, 0x6750e519, 0x159a7acd, 0x1f8239ba, 0xbfe9d01d, 0x616cb1d2, 0x83f0cd0c, 0x3da828c4,
+    0x9d074312, 0xcba71c86, 0xf29dddfe, 0xd227f990, 0x501e6389, 0xa0568e21, 0x37473891, 0x15a887c8,
+    0x7a41173d, 0xd6707ceb, 0x61b56cb6, 0x85749ead, 0x7a385d90, 0x5adabdec, 0xe052cda8, 0x7723d91c,
+    0xa4cef715, 0x686ad60e, 0xae938e38, 0x8998966d, 0xda89c05b, 0x05c327ef, 0xc467bd44, 0x65fcff1f,
+    0x91f47476, 0xf2f7d82b, 0xd46957b6, 0xd1d7fac8, 0x9d33a3df, 0x3eb695a7, 0xe611ebe3, 0x0e74d2d3,
+    0x15260b17, 0xdf70f922, 0xb6bc5c56, 0x0dc249a5, 0x0ca00bec, 0xd01402b1, 0x1420cdf3, 0x9f84ed57,
+    0xab10c9b0, 0x7e3b8f55, 0xf380ef6d, 0xead7f456, 0x45b9e34b, 0x148e0634, 0xba0632ad, 0x9bd218f0,
+    0x69a2c39f, 0x84b89543, 0x23c7d376, 0xdf287ddb, 0x52997760, 0x1b4978a4, 0xa8dcaacf, 0x8a385cbb,
+    0x3d66629c, 0x5c5af16c, 0x3a737ee7, 0xbac620a0, 0xc980a4ce, 0x904439a1, 0x5e984aa9, 0x7a7cd49b,
+    0xecedc9e2, 0x475359ba, 0xd1d11892, 0xa7d32471, 0x3f05f418, 0x86d93692, 0x7f652b43, 0x4e187033,
+    0x9112b832, 0xbac7d65c, 0xa4edae35, 0x38627037, 0x0fab0e4f, 0x8664d2be, 0x4ef548ef, 0x8ec62f40,
+    0x5ebdb22c, 0xd6cb2ca1, 0x143dbec1, 0x06cbef56, 0xccb4e3a0, 0x0917d3b8, 0x215a4f35, 0xf3876fe0,
+    0x78f4cb4e, 0x84050252, 0x3dde6c0b, 0x9428db95, 0x792f0750, 0x3797df55, 0x6a8fbaf7, 0x93ce4f96,
+    0x827d608a, 0x4419efa0, 0x6de78be8, 0x2e0104bd, 0xa107a85f, 0x3f88e990, 0xe0187b98, 0x7d58acfd,
+    0x8d6f520d, 0xcaf7a5a9, 0x81b54287, 0x76fed2ef, 0x5564d7d2, 0xad72dfc2, 0x9a07ad11, 0x25de2d40,
+    0x82da9980, 0x0edbd35c, 0x77e3430a, 0x158e6d5d, 0x70fbee71, 0xe8042255, 0x84bbf4f5, 0xebc0a624,
+    0x29aa02ac, 0xa1df68bf, 0x34af2932, 0x0b9d96cc, 0xb369d101, 0xaa26d93d, 0xa2ddd790, 0x9a4e1cfa,
+    0x001b474d, 0xba49e19a, 0x69e09857, 0xc500a9ed, 0x7bf175af, 0x3cb8aade, 0x81e39a04, 0x9682ec40,
+    0x2a9e17c7, 0x7b33b99b, 0x5c3fa7f8, 0x1d80bf75, 0xddfdb86c, 0xdb448019, 0x34e5268c, 0x766c3d9c,
+    0x084d2e84, 0x7b7f03e5, 0xce50c55d, 0x9be9f28a, 0x0349807e, 0x8bb5c711, 0x183aa0a5, 0xed8ca608,
+    0x330a98b2, 0x03d9c45e, 0x50d91057, 0x5213194f, 0xb86a7c4b, 0xe1c6ca97, 0xc73afa2d, 0x725b2527,
+    0xa3b47891, 0x8b6590f2, 0x9b51dd3e, 0xede3986b, 0x73327151, 0xf289153b, 0x6a2083bf, 0x6b58951c,
+    0x13e85956, 0x43cc9115, 0x90c49625, 0x7a7ca73c, 0xb7e8f40f, 0xf73ad9c3, 0xb4619103, 0x9eae3e1e,
+    0xbe18d60d, 0x64a2e87e, 0xaa4840be, 0xc6df6ee3, 0x91463ec5, 0xff1c0226, 0x946fe160, 0x5e4ccff3,
+    0xc60959cf, 0xcd0505c5, 0x156b9dc7, 0xde6bc4d9, 0x7f1f1225, 0x61ee5a06, 0xd5803476, 0x3298d4ed,
+    0x7b0072ce, 0x82c0010d, 0xa078cbe4, 0x53ee70fd, 0xc818c35a, 0x91d0e310, 0x77ba1189, 0x00202094,
+    0x73e56ab0, 0x25011c2f, 0x6b79246a, 0x67a197c3, 0x4a51cc29, 0x7fa50d6c, 0xd44e529f, 0x26ffcbf0,
+    0xbb059fec, 0x76f8a2fc, 0x6c12014b, 0xe2d635b2, 0x2dca5e86, 0x9d543905, 0x76e1a30a, 0x1dcf06df,
+    0xfa30a1bb, 0xa6a1fb48, 0x197f3830, 0x8ea1bdc7, 0x1e7b5c31, 0x6f0e2605, 0x8270edc4, 0xa6faac18,
+    0x58834ef9, 0xce7de5f0, 0x3f7151e1, 0x08b2891a, 0x848cc4ec, 0x6ae748d0, 0xa695ec0a, 0xba9cb5a4,
+    0xe5b52367, 0xa426b343, 0xb273a18a, 0x422bd134, 0xb4095cbd, 0x7ab04a7e, 0x219e32ac, 0x5ea1accd,
+    0xedb1a388, 0x59a083b3, 0xc68d20dd, 0x9be07203, 0xc516969e, 0x5fcef241, 0x2e03bb6f, 0x60f83089,
+    0x068d995c, 0x66a52fff, 0xaf63f544, 0x2b8ccd6c, 0xeb90c6a9, 0xcdfe17ae, 0x91c8c348, 0x36d33158,
+    0xafab4837, 0x1e82412f, 0x2bf4f3a6, 0x0e8d2aa7, 0x4fd7bf09, 0x74c21a6e, 0x939d0a01, 0x4d49a68a,
+    0x468de230, 0x117adb87, 0xdf97c133, 0x6fd90646, 0xdcd6647b, 0xdf30923a, 0xfbbe7db8, 0x4fabe653,
+    0xef955f8c, 0x4660237f, 0x4ee87d40, 0x781d7ffd, 0xa31d2bd4, 0x4fd19f00, 0x4e6a784f, 0xbe629740,
+    0x81710cb0, 0x84f0ddcb, 0xa9c0b9e1, 0x1b301ce8, 0x179f89e1, 0xf2d80c64, 0xc6f81c7c, 0x0704497c,
+    0xaaaa43c1, 0x9ae46104, 0x96eedab2, 0xdcfebb11, 0x33a18e19, 0xe6c294b9, 0xbdb00d0a, 0x9b51e297,
+    0x3d74d1d6, 0x81e97117, 0x29efa9ca, 0xe696d52f, 0x4613ba24, 0xa01b8228, 0xe6e40b0b, 0xb7f011b6,
+    0x1997664c, 0x8cecff62, 0xfcd6ce42, 0x73e7f590, 0xba3aa724, 0xa6229568, 0xbcd4ce4d, 0x44e3c338,
+    0xcfaecd66, 0x332f53d4, 0xd711d221, 0xda2f630f, 0x00120fbd, 0x783ff415, 0xc6b58c63, 0x98d5df07,
+    0x5c94c7f3, 0xa5f1e9b1, 0xd30c1060, 0x3a6432f8, 0x9a5532d8, 0x2ef3bee8, 0x0940a8ba, 0x136944b5,
+    0x15914ed2, 0x2b2cbab5, 0x6d1cfb4a, 0x192c93e0, 0x9349b239, 0x23ec1bb3, 0x05aacacf, 0xf551bc0e,
+    0x961cb2da, 0x874290d8, 0xe3d6a02e, 0x46416652, 0x4b642220, 0x7d65d1e7, 0x0e090eac, 0xaa8eecc9,
+    0x6a570da2, 0xa9f73fb4, 0xf3b97195, 0x7d91d13d, 0x2344d222, 0x68e14d2c, 0x6c2b89a1, 0xef2a48f1,
+    0x62af4d9d, 0xae5547cd, 0x4e8668f0, 0xeb808d41, 0xa2fa5c88, 0xde068883, 0xb8645401, 0xc341d3c5,
+    0x475701f3, 0xe8bbab65, 0x5474834c, 0x48b82a2f, 0xc3a47c2c, 0x73baafe0, 0x831c9a97, 0x0bd5f919,
+    0x1c5a9c53, 0x5603508a, 0x3b78b594, 0x35815d37, 0xef3179e0, 0xb0653a1e, 0xa5c09a49, 0x4ae01bc9,
+    0xb5f940f4, 0x04abd59d, 0x8da945cb, 0x71422bea, 0x16393723, 0x453eb48f, 0x3aceec94, 0x6913bbe2,
+    0xc8bd1596, 0x83811837, 0xc6d852a0, 0x668d9180, 0xb6847661, 0xc92a985e, 0x246014d4, 0x41f048a8,
+    0x6aabf862, 0xc068519b, 0x8455a116, 0x33a8ca3a, 0xde4f07bd, 0x4ab13529, 0xce4a1fbf, 0x505a6cf9,
+    0xe26b33af, 0xaa516bd0, 0x5e2eece3, 0xccd7c2db, 0x49b8d261, 0x31879b77, 0x314769ae, 0xe1a79700,
+    0x115acd19, 0xc18f46b7, 0xd4e3f3e5, 0x9b13bcfe, 0xa3b61da6, 0xf01e6228, 0x744b84bb, 0xa36506b5,
+    0xc9a067ad, 0xa0cce7a2, 0xf3cc7b6e, 0x583a156e, 0xd77a9ab2, 0xa730dbb8, 0x3de4a07d, 0x7f99aa91,
+    0x0a8c441e, 0x97cb360f, 0x3d35026a, 0x7bf10b2f, 0xafe9ce75, 0xd5d3190c, 0xbefc0e67, 0x73ce834c,
+    0x2b21e932, 0x38c84b93, 0x2f01d691, 0xa199e3a9, 0xcd844df1, 0x899878fc, 0xbfcc3f38, 0x711fa354,
+    0x091db636, 0x3c57394d, 0xdf1f87cb, 0x8a4490db, 0xc2256c98, 0x795ee5f0, 0x2e7936fb, 0x223a6dda,
+    0x81dc25f2, 0x944b1653, 0x4f764658, 0x69b40ff9, 0x9518e383, 0x6b6e40c3, 0x4d0bcf61, 0x89ca1e64,
+    0x0fdbe093, 0x12a40e46, 0x92617f59, 0x99e213ae, 0x6179b322, 0x99b5a70a, 0x929ee3c4, 0xe40838c7,
+    0x02822b15, 0xcf88c1ff, 0xb117353f, 0x1fe50603, 0x103041a9, 0xe624bb97, 0xad5c098f, 0xce27132d,
+    0xa0225395, 0x9cfcf239, 0x8607a694, 0x3a4f2e2c, 0x1d85b51e, 0x01d0d276, 0xb7320007, 0x194b7f9a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000001237940039285380274899124224 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc57, 0xf2495fb6,
+    0x00000000,
+    0xfc2aa4e9, 0x3e54bd17, 0xb2b21384, 0x94699108, 0xc952fdc9, 0x64fc09f7, 0x8d464bf6, 0x69d08108,
+    0x1936c056, 0x46d785bf, 0x0188c9af, 0x24b0969e, 0xac58f196, 0x4d23e0d2, 0xa4a1fd36, 0xaee49847,
+    0xa2d405a6, 0xdcf44559, 0x55278b69, 0x115a4a50, 0x2108cc0f, 0xf88ece4b, 0xb85a6453, 0x50633482,
+    0xd7a39542, 0x44634cd6, 0x1d3b29a8, 0xc32d45f1, 0xe5be3791, 0x62285ebf, 0xd6466b30, 0xdf45ff8e,
+    0x4721dba3, 0x04928047, 0x4486c48f, 0x9c39cdc5, 0xa5ac9fbb, 0xafdf4357, 0x1b123cc6, 0x64661030,
+    0x6fd19fcf, 0xce5314cf, 0x1a72ca62, 0x94b93edc, 0x4ff57116, 0xb8384e4c, 0xda96bf38, 0x2f953ab8,
+    0xff675538, 0xa03da31f, 0xe3804009, 0x26c5c6a8, 0x238700da, 0xf4cc379f, 0x97123991, 0x05bdf85a,
+    0x76163eca, 0x487b3fcf, 0x9ed0a433, 0x1f04421f, 0xe0a0a973, 0x63dc8967, 0xc12dd1dd, 0x8b4e9099,
+    0xc631c473, 0xd83f7109, 0x9ef222c2, 0x058b6105, 0x5f761a69, 0xb1e1f08c, 0x393a6cdc, 0xc7b1538b,
+    0x10048b01, 0xbe769101, 0x08fffcd5, 0x4e99604f, 0x7e7b6845, 0x18301c4f, 0x52c4d423, 0x0142e417,
+    0xdc3d734e, 0xf8acafd0, 0xb018cf58, 0x2758fe7e, 0x7dce2074, 0x97f6884c, 0xada367ab, 0x9f4356ca,
+    0x2327c723, 0xa2c33b12, 0xa6a50579, 0x041add27, 0x573fbbc3, 0x88e3aea0, 0xa9348999, 0x081be0c3,
+    0x09c34ae0, 0x3004f3e9, 0xcbedcd6b, 0x31cc49b5, 0x1f98b3ce, 0x193ef08c, 0x9550ffbf, 0xa30f595b,
+    0x11ab42b1, 0xb4c9e908, 0xcd7b1531, 0x7f927144, 0xd20362d3, 0x11037d40, 0xb7792992, 0x8f243ad8,
+    0x59b2e970, 0x37233bfa, 0x9190b5d4, 0x57064dcd, 0x1205e84d, 0xa41efbe6, 0xa78b5159, 0xc6844d2c,
+    0xdf46a7de, 0xfa9ddbbc, 0x640ac20c, 0x7e1dd22b, 0x931e61b5, 0x3ed2f7d1, 0xd9f4df62, 0x966e60d0,
+    0xa0f52247, 0x79fc2baf, 0x4aeadc27, 0x4ca0e819, 0xd7944b1e, 0x4ea60385, 0x6bfa4132, 0xfb010182,
+    0x9a257dfe, 0x23409830, 0x04b892d2, 0xf824017b, 0x0e0ceed2, 0x4b32aeac, 0xe5fc8e32, 0x3d3065c7,
+    0x2bb045fb, 0x45e189cd, 0xc3523b84, 0x4db47837, 0x6b1c9134, 0x26d8dbf7, 0x1f07bbae, 0x580c3ac7,
+    0x00e065d3, 0x8601a01b, 0x151f1f13, 0xbaa75501, 0x69498c61, 0xd96eb206, 0x7576e97a, 0xe730d07f,
+    0xdd06a722, 0xe5c49ab6, 0x45f77c18, 0x2743019a, 0xf44e2fa5, 0xfc5327fb, 0x8896990b, 0xfc3a36c3,
+    0x1639f1cc, 0xe411f18c, 0x7ebf7a99, 0x4e80590b, 0x717af1d1, 0xbdf7260c, 0x86d595a8, 0x00547151,
+    0x6dfcfa82, 0xe22ef663, 0xce4432d7, 0xe7b95550, 0x8d78f585, 0x762e8796, 0xfec76a45, 0xad5c8403,
+    0x21b72f09, 0xff046894, 0xdd98da8a, 0x7475821b, 0x1ee049fe, 0xcd3823a5, 0x8b8fdc25, 0x60e445a0,
+    0x1d8bb8af, 0xfe651890, 0xdd1107c9, 0xd82bd73c, 0x7043b676, 0x4a1767fe, 0x4e486615, 0x5635752d,
+    0x3f3329e9, 0x44963542, 0x6c9fb4d2, 0x4d70c9fb, 0xcf8a8428, 0xa0128cdc, 0x0ce59d5f, 0xeb4db05a,
+    0xe1ab18f3, 0x55508711, 0xa7a22000, 0x571aadaa, 0xdc4ddf1b, 0xe5d52e6a, 0xf0449685, 0xc0c8dd5a,
+    0xaf137f6e, 0x342231c0, 0x1c694047, 0x7d7f3945, 0x60938436, 0x0cfd44cf, 0x844158c9, 0x0dacfd55,
+    0xfae44206, 0xbecc823c, 0xe89f7812, 0x60e9fa20, 0xa5c53825, 0x542d86a4, 0x120d2975, 0x8258d840,
+    0x36e6fc5a, 0xb292c2be, 0xa91fa550, 0xacac96a8, 0xce2c6020, 0xa2c8ab94, 0x20c4fdf4, 0x6833f49d,
+    0x550d7384, 0xf70ac7b8, 0x753c5897, 0x1303bff3, 0xe90420af, 0x4a3889c1, 0x1c74c642, 0xf2f87dc4,
+    0x35f4fbeb, 0x28897414, 0x26778a51, 0xfa6f112c, 0xe928c08c, 0x7912bd67, 0x7ad37d5f, 0x88085e15,
+    0xdd8c7aa7, 0x39c42027, 0x2e996216, 0xa2383161, 0x2a907228, 0xd2d71055, 0xde051ee4, 0xfe5a3fc5,
+    0xa3a0b2f4, 0x419545ed, 0x0e20193a, 0x44f71aaa, 0x0ba82e66, 0x15d981f7, 0xf89d118d, 0x4ad074cf,
+    0x5338a6c1, 0x3e815046, 0x298b8a8a, 0x86244b09, 0x4c7fe4fd, 0x771d47b3, 0x9a890dc1, 0x6c30519f,
+    0x9d67f456, 0xdf3cebd0, 0x66e61644, 0xdb67aaaf, 0x7d41370d, 0xfc193bbd, 0xc19d8ea6, 0xf7711fb3,
+    0xa2afde6d, 0xb5e78666, 0x4abf3874, 0xe5eee8d4, 0x903351fc, 0x93c8bd8b, 0xd0f895c9, 0x7fc57222,
+    0x34b76beb, 0x05379c04, 0xf386d68e, 0x6a7edaef, 0xbbde325c, 0xbdd22b9c, 0x2e27240d, 0xa84f5705,
+    0x9599fd6e, 0x315b9a6a, 0xeef11244, 0x289730b0, 0xc7f615b5, 0xd12183a4, 0xbabbb09f, 0x278a7257,
+    0x0238e9e4, 0x0cffa27b, 0x15603883, 0xaebc0644, 0x2f6a6ee2, 0x8c9b8e97, 0x98e7d45d, 0xe1f48d70,
+    0x4dac3aba, 0x4fee060f, 0xe6d1eb33, 0xe4846e9e, 0x3c2b10d1, 0x6a43a60d, 0xd9e4b180, 0x02ca70d4,
+    0x3fef1bb8, 0xfbadb900, 0x0170809e, 0xdaf8c7e3, 0x98b4eb28, 0x3a82955e, 0x0d908173, 0x0fe96f59,
+    0xa38ba4be, 0x647df884, 0xcbc2967a, 0xc5f17e03, 0xcbe4ff70, 0x33bbf582, 0xb212e544, 0x756528aa,
+    0x3017f78c, 0x89137c78, 0xc3e96e1b, 0x9e06b899, 0x0d1c1531, 0xf203efdd, 0xa35fde95, 0x631fa05b,
+    0x5654c5ee, 0x9cf84418, 0x6f944889, 0x9a9c7e60, 0x57fe7cad, 0x07c96840, 0x685b48c1, 0x555a4952,
+    0xf627d5c7, 0xe5e8fe31, 0x9b3fa63c, 0x75f704de, 0x2a7ecb70, 0xc54c6283, 0x98701278, 0x87fef41e,
+    0x83311038, 0x5753da24, 0x89c2a47f, 0x6d20f6c2, 0xd3476b6f, 0xc256df01, 0x07f467e3, 0xca4b23fb,
+    0x3d1e35a4, 0x69f8fa2b, 0xa2032144, 0x04ac8fb3, 0xf950b1c2, 0xbd4a3fe3, 0xe23121f2, 0x46778d59,
+    0xf9e622db, 0x69eed45c, 0x31ed7815, 0x5d27306f, 0xd212fc19, 0x37e9e775, 0x23f077b9, 0xdadd36b0,
+    0x6f574f39, 0x001d0b75, 0x82c9c8d7, 0xb18828db, 0xbee0bae8, 0x6ffcbe9e, 0xfb2b2ecd, 0x372605f4,
+    0xb9e1f613, 0x6d80026d, 0x2bd588fd, 0x091523e7, 0x95e66ba9, 0xa00efd77, 0x29dc3157, 0x12fd0de2,
+    0x87c5e4a6, 0x10f66cf3, 0xa380eddc, 0x5919cdcb, 0x63b49b30, 0x8130381b, 0x4282e1ff, 0x43243fa0,
+    0x55284d5d, 0x0e7a9c58, 0xbf81767d, 0x5da64982, 0xcfade78e, 0x8b91d626, 0x2dddcc50, 0xea3f6a20,
+    0xf269f33c, 0xd6e4b3d8, 0x7365aa57, 0x717417bc, 0xefed8c17, 0x6ec3894a, 0xb202ac49, 0x8e9d386d,
+    0x86cbc903, 0x37e0e98c, 0x6c8e811f, 0xbb7c1eb6, 0x12b0a703, 0x21270b3e, 0x7d087eb8, 0x80e5d98f,
+    0x39a43c2c, 0x2236d291, 0x59a6c8c5, 0x5093a512, 0x2279a282, 0xb1bee958, 0x9a03b449, 0xf0c0e547,
+    0x41d2a105, 0x04745f9d, 0xdf80fb6e, 0x579bf1f9, 0x495bbc30, 0xf7c90119, 0x32e1398b, 0x3c8bcd67,
+    0x96b9b796, 0xd0b70e36, 0x4ece6350, 0xf6e433f4, 0x8b99f117, 0x86667cba, 0xbd827327, 0x6b7ba242,
+    0xb703d251, 0xe926065f, 0xb468ba9a, 0x97e160d6, 0xe60956ee, 0x676fa1ac, 0xd46cd746, 0x5db87fd6,
+    0xac14d089, 0x948a4381, 0x21ff8e64, 0xa2bf43bb, 0x0d02dcf9, 0xc6a7c920, 0xf2abb415, 0x4118174d,
+    0x7b98ce66, 0xdeba362f, 0xd81a0ed1, 0xc8f8976f, 0x040e4d92, 0xe52252bf, 0x92786bf2, 0xe995b9f9,
+    0x2c5be80b, 0xe962890b, 0x7c8a18ee, 0x9e7af32b, 0x7bc040cf, 0x0f00cd04, 0x0684ce45, 0xa3a5bad9,
+    0x15630766, 0x44ab706d, 0x046e8bd3, 0x0f71141a, 0x1dd541a5, 0x017bad56, 0x009587e2, 0xaf385c8a,
+    0xd3e20f4e, 0x3d202568, 0x77a0a0d9, 0x3e4263b3, 0x3a987fb7, 0x540b8bf3, 0x74f3a2f2, 0x135c16f9,
+    0xcee2e622, 0x5f0cc4d0, 0x6e6a3c78, 0x255c2d64, 0x786b916d, 0xd9e184f6, 0xf3bebe14, 0x995bda13,
+    0xd8b66af7, 0x91e3d8a1, 0xc9c7e409, 0x7378865f, 0x9a0bdc9e, 0xbe54e6fa, 0x2161a9c0, 0xb571ad89,
+    0xbd9c3e76, 0x3431f95f, 0x23bd92fc, 0xa7f3ea87, 0x76aadf1b, 0x56a8185e, 0x16640ced, 0x823f0be9,
+    0x2c468e44, 0x49c6b1ea, 0x30053fe4, 0x2f57cf20, 0x48a3c511, 0xb326ea0f, 0x38e9a880, 0x0c592b5c,
+    0xcd7a8fc4, 0x085a3cf7, 0x5e8865e5, 0xc2c01d16, 0xc2d76027, 0x394db0fb, 0x579a333b, 0x60ae97e3,
+    0xa0fd1895, 0x53f5dabf, 0xc0130e70, 0xf4647ca3, 0x7d5c545f, 0x89baa618, 0x6b6ef474, 0x02e97ff5,
+    0xabe0ca76, 0x542f05cf, 0x55cbfd41, 0x003383e7, 0xc419ca3f, 0x450058a9, 0x7960d201, 0x23f6d7b7,
+    0x7b9a8f2f, 0x769e0330, 0x6af535d9, 0x29982f83, 0xeb4b19c2, 0xc4912fbe, 0xb74c3c00, 0xcad2a453,
+    0x6872e74c, 0xec7e42cd, 0xd78cba55, 0x48d315a8, 0xdd8f1881, 0xec89c345, 0xb20b1913, 0xb2f3989b,
+    0x9a97ef20, 0xd471cac3, 0x3f82b25a, 0x659b9ecc, 0xa6e099af, 0x5906b290, 0xd83beea5, 0x53c36ecd,
+    0x861f9975, 0xc8aa9816, 0xdfaf5f27, 0x8fd33675, 0x70d10378, 0x128068b5, 0xa22bdf28, 0x0d7a6ac5,
+    0xfc502899, 0xf79a12e3, 0xaf92ebe7, 0x7d968fe3, 0x3ef45d23, 0x1e3bce06, 0x5e9d4dc6, 0x27e35339,
+    0x356e58ae, 0xbd48d49d, 0x34e859b7, 0xf518b9de, 0x2286d815, 0x8d868936, 0x386831f1, 0xe65ed3da,
+    0x0e82df6a, 0x16f5698b, 0x26003e1d, 0xe9930c65, 0xf53cd582, 0x417ed8c1, 0xdf1bc267, 0x462eaf12,
+    0x94de5ec2, 0x788de350, 0x40298e04, 0xf269f777, 0x8b648956, 0xb751ec19, 0x906fd3b7, 0xd2f4b584,
+    0x52ee5f15, 0x995f18b4, 0x4421974c, 0x2c2844d2, 0xc8f7b3c7, 0x87dabe46, 0xa5f9d177, 0x6848c953,
+    0x9da68f9e, 0xe92e1430, 0xbba3c2b7, 0x7768a5ae, 0xc801b2fb, 0x279c2a7e, 0xa95ef15e, 0x3030b1ca,
+    0x03fd7a41, 0x393f2889, 0xdf6ffa22, 0x23fcec36, 0x586b66bc, 0x09d4f408, 0x20203a21, 0x2172b18a,
+    0x03b7841c, 0xd6695b6c, 0x2c7e524a, 0xb76e1c03, 0x589e54c1, 0x4e7c1f85, 0x7396c866, 0x0124bf1e,
+    0x8bff2e53, 0x64c314e4, 0x312cd6af, 0x0527f112, 0xd6cce349, 0x3c2611b0, 0xcfbe56d6, 0xbd815751,
+    0xf9f21d59, 0x9fca0f45, 0xef2b8bc4, 0x58fc8099, 0x9757835e, 0x36b1c229, 0xc5c5d588, 0x8fcc037a,
+    0x8ed83467, 0xc1e88673, 0x2336ca42, 0xb9dfbc38, 0x25764326, 0x83dc0320, 0x8be45d73, 0x00f21ba2,
+    0x75c9cf0a, 0xe97945ea, 0x4a442121, 0xd4bf24bb, 0x2b202351, 0x190247fb, 0xb5f47347, 0x825ad915,
+    0x44fbed2f, 0xa6975690, 0xc2c8843e, 0x18cb8664, 0x5046d814, 0x009a4f35, 0x4c6b0bf8, 0xd335f706,
+    0x99410c9c, 0x86d06647, 0xb928b14b, 0x5ddd22f2, 0x24e2830a, 0xd9d4024a, 0xb28cfcae, 0xe711ff74,
+    0x7caef201, 0xadfe41d5, 0x93b80f68, 0xf414fbaa, 0x405227f3, 0x26e5608e, 0x9321688a, 0x05f97779,
+    0x4e27d8fb, 0x32e7423a, 0x9e51d400, 0xcafea6b3, 0xd41e2ace, 0xf788b38a, 0x19137a8d, 0xbfbf191c,
+    0xe37127f5, 0xc9b397fc, 0x51233ffd, 0x83cdb99b, 0xd1abb5de, 0x01a0c58f, 0x06473180, 0x428c8e6b,
+    0x762a2502, 0x643846b7, 0xf56e4d22, 0x265b4d68, 0x48605b5a, 0x8a75e085, 0x6b254761, 0x0ad8b29b,
+    0xc0098298, 0x89544765, 0x53559a08, 0x3574f96d, 0x6d229ef7, 0xf27e97a8, 0x86cc851a, 0x6b431471,
+    0xbe73c563, 0x20f0013a, 0xd8b5c51e, 0xe5ccad79, 0x6788f210, 0x18594a33, 0x8b82e27f, 0x967f8265,
+    0xe9d57f3e, 0x3669d7e6, 0xfcda06c4, 0xabaebe50, 0x5f8ce8c9, 0xa72ba9ea, 0x19888f0c, 0x05ffd697,
+    0xd7fa7b56, 0x4c32be4e, 0x5c287767, 0x8f02c495, 0x1269abe0, 0x8c012a18, 0xd6100376, 0xe210cf5b,
+    0x0e6b2ee4, 0x962398de, 0xfa45cc6b, 0x51a089ac, 0xfb02be6a, 0xf124d581, 0xb1382a6c, 0xd21f96bf,
+    0x7539f7ce, 0x30502e7d, 0x0e962c44, 0x592f752b, 0x87c2ffe9, 0xf4165d8c, 0xa06682fb, 0x1f847993,
+    0x32a6f96a, 0xfa45ea3a, 0x67dba096, 0xc3604fd3, 0x8b61f119, 0x47ab20c5, 0x7f42a8f6, 0x7dd8ea1b,
+    0x05064e40, 0x54316678, 0xf2ed0d96, 0x6204a213, 0x62bb5500, 0x1971a957, 0x4d309942, 0xd980374e,
+    0x11bad52e, 0xfb5afd07, 0xc2481b27, 0xa4136c29, 0x63717446, 0x567fa866, 0xc8b1db5d, 0x16c99e79,
+    0x240d9de9, 0xaf8f1378, 0xffd1dd08, 0x5a46dbda, 0x85b8084d, 0x7254e79a, 0x1e941027, 0x2fb94aa6,
+    0x8ecba180, 0x761e26ff, 0xb0fe5a8f, 0x84701356, 0xaeb3d867, 0xe4469f97, 0x016f6328, 0x745d4b52,
+    0x50cb1d35, 0x190cc3e0, 0xb77d29f9, 0xf3ec9018, 0xcafe5b1d, 0x73f0210e, 0x2f484745, 0x8aea3710,
+    0xd8782011, 0xb63eedb6, 0xfd6b6e58, 0xba1735f1, 0xf067a11f, 0xfe4dd481, 0x14db52c4, 0xb7a1ed14,
+    0x6588deb6, 0xe1b6b52a, 0xb0589d15, 0x8f0dec37, 0x92b1fea6, 0xb8052a95, 0x5f072dd6, 0x90a03899,
+    0xa9cf5399, 0x02ff2000, 0xff9bab5c, 0xddbfa1e7, 0x91f9feea, 0x2da881ad, 0x0a12b0f7, 0x5ffcf48f,
+    0x577b2a6a, 0x941fc98e, 0xeab6c10b, 0x378c540c, 0x6e295ec1, 0x65f93048, 0x6d5f2b6a, 0x9eb452f2,
+    0x422eb63d, 0xc8800d3e, 0x59bbbaba, 0x16fd5f91, 0xb0a8014c, 0x9de7e145, 0x0aeb0a40, 0xb9176143,
+    0xb3bb22aa, 0x2b1c0730, 0x6be65deb, 0xcfac9de8, 0x14ae0495, 0xc8c4315f, 0x162105da, 0x5183b260,
+    0x4cdea80e, 0xb833d40f, 0xbf596ccf, 0xa2281c8a, 0x291e8480, 0x05bca0b4, 0x8b918530, 0x26b56d30,
+    0x42e92b08, 0x13fd74bb, 0x18d9ef48, 0xd5ed6450, 0x1e67c0c5, 0x63e74f83, 0x01375ab5, 0x4849cca8,
+    0x0a1daf0a, 0x89de5439, 0xdc77a478, 0x88fab9d9, 0xa3a51387, 0xdbc9c707, 0x8ebc4c96, 0xc7e19492,
+    0x717346ff, 0x8ad43c88, 0xf43ff19d, 0x232d13a9, 0x97a2e989, 0xd7ab034f, 0x01c15ba9, 0x93e54336,
+    0xe0b4d4df, 0x4511117b, 0xe07afc39, 0xd312a1e2, 0xc771dbf2, 0x67f1a96a, 0x79e2eb59, 0x182bf344,
+    0xe1671b9e, 0xc703a7c9, 0x0c030364, 0x445602cd, 0x26926699, 0x6d6fb33a, 0x0124e29a, 0xc695c7e0,
+    0x9a75eb03, 0x16eb0d4a, 0x948c3908, 0xf7813742, 0x87782e0d, 0xc8cbd61f, 0xff60c7c8, 0xa4f80368,
+    0x1f73ab76, 0x842f2c51, 0x997fbc1b, 0x27b39429, 0x57c99025, 0x698eceea, 0xd4661c76, 0x8cec30af,
+    0x908ea195, 0x9061c558, 0xb84b9a9b, 0x62ef0b6f, 0xf7be38b1, 0x603b7f74, 0xc10ea953, 0x0f276725,
+    0x88c91e89, 0x66ae4620, 0x347ea514, 0xbfce9541, 0xbab52e3e, 0xc433b268, 0x14bd7202, 0x45643852,
+    0xa7dfa68d, 0x707479ca, 0x7aeb1cf7, 0x93cddfd4, 0xb10e457c, 0xe320db43, 0xd255484b, 0x3de2080b,
+    0x319c0409, 0x5f9dd7ce, 0xf17a2eca, 0xa40802c1, 0xa535e511, 0x9d6b3e08, 0x400d1aca, 0xa833a6bc,
+    0x0ecf91b7, 0xd6a13942, 0xb33ef8ed, 0x12f21c56, 0x8c2dda97, 0xb9354911, 0xdcbc5352, 0x6ad2d98d,
+    0xcdbd3694, 0x060d35db, 0x4ee985e3, 0x40278392, 0x95ee56d8, 0xe79ecd9a, 0x8f8c425b, 0xdd74551f,
+    0x3222a390, 0xa5032f9d, 0xa3d4fc5d, 0x30a75032, 0x15c823e5, 0xd75a2531, 0x1b3dfba7, 0xd6b0618b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000618970019642690137449562112 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2b, 0xf924afda,
+    0x00000000,
+    0xfe1378a8, 0x5efa225c, 0x5f5c82c6, 0xb5559944, 0x1fd378e8, 0x6f37e783, 0x26906ba9, 0x7427f3f0,
+    0xdc14dde4, 0xd49c9850, 0x3c670e75, 0x23e26827, 0x7398057e, 0x65d406f2, 0x4a1eebeb, 0x6aadccb2,
+    0xeb92c265, 0x7b0b7374, 0xae8eb543, 0x4df8a642, 0xc5f26ee2, 0x755d675f, 0x5a4e6d4e, 0x78000bb1,
+    0x25479003, 0xce4b8c7a, 0x3dc06f8c, 0x300266ef, 0x90dceb1e, 0xbf850f34, 0x13bee54f, 0x07555958,
+    0x5ac62b59, 0x75208dd6, 0x5f553535, 0xc8da596a, 0x11253b0b, 0xec36acbf, 0xd35804f9, 0x2e7ada83,
+    0x16490153, 0xa0beae84, 0x9ae55b5f, 0x932e4fbe, 0xd9bfe1cb, 0x55e875c1, 0xaf242ce0, 0xbd9f14b9,
+    0x08b38e50, 0x77337aba, 0x51d6ca96, 0x352ea342, 0xa20adb90, 0x8173b5cd, 0x39f54419, 0x72ebaa88,
+    0x4a6a8e32, 0x8772a6b8, 0xe4b20ff9, 0x0ba34a19, 0x8ddc9ee7, 0xe52caba6, 0xc3f0d902, 0x0cae350c,
+    0xe4698adc, 0x146a04ae, 0x2342e8de, 0xd31414d7, 0x8f0a5b42, 0x9a6c23cc, 0x6a49323b, 0xfceab521,
+    0x0d2cb8fa, 0xc3e4cb8f, 0xdd60f0ae, 0xa2fef630, 0xf50c87d3, 0x214047b1, 0x8a752337, 0xbcbda415,
+    0x3745206b, 0xf05538aa, 0x1488f341, 0xf6eaa819, 0xd765faf4, 0x30d44a1d, 0xb5592504, 0x8a3a76bd,
+    0x1676ec7c, 0x70bdc316, 0xc1271301, 0x30dfd483, 0x2c0e3f11, 0xe3dc2970, 0xdda237c4, 0x7cb53b8d,
+    0xfd6c34b1, 0x990fdd92, 0xc9f5c696, 0xe642008d, 0xa97aaa02, 0xbf298d6a, 0xce4b1818, 0x6e0617b6,
+    0x57ff41e6, 0x60822626, 0xb41442a3, 0x5d446659, 0x737bee97, 0x65f23758, 0xdbda5bb5, 0x16023409,
+    0x96bbf95b, 0xca4fedc4, 0x8481cb28, 0xdd0f1d73, 0x8fefce81, 0x917cbcaf, 0xa6a80f98, 0xf2548ad6,
+    0xf96918ed, 0x756250c2, 0x8c8268c2, 0x7553398e, 0x111f5a22, 0x845b90bb, 0x7d3892b1, 0xb73cf58d,
+    0x3f8729f2, 0xb7a8408c, 0x81c0f896, 0x8bc91254, 0x9683dc33, 0xf4aace3e, 0x748e74f7, 0x5446da63,
+    0x9fe70f9f, 0x866001f2, 0x874b3916, 0xbe013496, 0xa9313f2e, 0x17eaf22a, 0x7ff63eb0, 0x39f71b75,
+    0x9343ea61, 0xb1c6cae3, 0xa5fc9dcd, 0x6c7da0a0, 0xba73e230, 0x6ca9a5a4, 0x26063273, 0xc0d225af,
+    0x755e43c5, 0x91367427, 0xe9609a62, 0x1040f10f, 0x961b921d, 0xfa95dbe3, 0x3a69a899, 0x9d5828fc,
+    0xc676a221, 0x78a0a335, 0xd7a66a01, 0xb93897dc, 0xa491408c, 0x2c16feef, 0xfa887c06, 0xab8f78bb,
+    0x3a1cdf98, 0x57cd707a, 0x105fc3d5, 0xc7fbde0d, 0x57e1346e, 0x843b933f, 0x46d5d35e, 0x23ed1313,
+    0x43e58d6f, 0xc18d5fe5, 0xd85e4bd5, 0x1844869d, 0x79433b87, 0xf29baf69, 0x01794fae, 0x9f1377a0,
+    0xdc3e4275, 0x263bd179, 0xa7087bfc, 0x8bb13252, 0xd7a79fb5, 0x68c291cc, 0xda9fdcdd, 0xb14c2c24,
+    0xddb2f21d, 0x1cc69ac7, 0x883a98ff, 0x57c29cb0, 0x9c56f2b3, 0x8755d84e, 0x226573dc, 0x31aa6456,
+    0xa0fb9ef1, 0xb166f2a4, 0x12f899fe, 0x6bc22193, 0xa15bc3fa, 0x7ddaac5d, 0xc1fb86d2, 0x9013d9cf,
+    0x1c9a8c99, 0xc08e628b, 0x37708279, 0x904b4e7c, 0x237dd90b, 0x97b75bbf, 0x1c8ede96, 0x2af729cf,
+    0xcb0c44cb, 0x26b59b9f, 0xb2823215, 0x22745eb2, 0x9e3efd8c, 0xf8b5a4c2, 0x7a80facb, 0x24c43257,
+    0xaa196c62, 0x237d1d72, 0x2ae526a7, 0x0b428d07, 0xbfe88104, 0xf5f1f5d2, 0x347b9e76, 0x8e6ce1fd,
+    0x901b8536, 0x2f6b72ef, 0xa94bb8c7, 0x0318c56e, 0x42b4aa77, 0x7aca90a6, 0x3272466c, 0xa4de7e67,
+    0xb2211903, 0x4d64337b, 0x54a1eef8, 0x60db3bc2, 0xbafe4910, 0x1feb627d, 0xf2e9757a, 0x07d12d52,
+    0xd2b5ab44, 0x718e054a, 0xc18104d6, 0x0e9d693e, 0x587f069c, 0x135a18f2, 0x4b3c4431, 0x6efc9ea1,
+    0xe8eb4b15, 0x8e88504c, 0x1e4ef13f, 0x67824048, 0x56e2c1a2, 0x3383d653, 0x4fd0a6d7, 0x309717d2,
+    0x76aad199, 0xa8742d45, 0x74b84fe9, 0xd74f8ac7, 0x08d5a719, 0x411762f0, 0x0338edec, 0xdef520a7,
+    0xe0e6a25c, 0x85d23651, 0xf17101f2, 0xe3b4a8b8, 0xf44abe1f, 0xbbf143d9, 0xf0b234af, 0x069e49e5,
+    0x3dc1c36c, 0x77d62ebd, 0x657cee47, 0x186305fc, 0xc56bae2f, 0x56de9744, 0xc238b8fb, 0xe1adedd4,
+    0xabc39170, 0xd2ca5626, 0xaba80b4d, 0x0b0c369f, 0x0d344d59, 0xf954dc3a, 0xf1b71bf0, 0xfc13ae53,
+    0xc56a8bc4, 0x697250b5, 0x3e887d66, 0x50a68f86, 0x53ec60f3, 0x0b4647e8, 0x9d5160af, 0x6af21055,
+    0xdf9dc36f, 0x23154414, 0xf9c3be46, 0x51deb303, 0xb739f45f, 0xb776ba32, 0xd0ec253a, 0x80a65de4,
+    0x58363db9, 0xca867708, 0xb9a1e3e2, 0xd44ab215, 0xe6123626, 0xe6cc33a3, 0xf9ebea4f, 0x8c2edb93,
+    0xfef74ef0, 0xfa37be06, 0x4cf54f29, 0xcaccddcf, 0xcedec6a8, 0xe05861a6, 0x85186534, 0x9cdcf8ea,
+    0xcfc917c5, 0xf22e1697, 0xefce328f, 0x281d12af, 0xcc26a8dd, 0x42313275, 0xbc58a3e4, 0x1eea905c,
+    0x7f62480d, 0xa23797de, 0xcd0c4b5d, 0x3ebeda31, 0x564b0666, 0xd4c4c24c, 0x9fad0320, 0xcf6a12ef,
+    0x688df6e8, 0xb47b058d, 0xf74fc997, 0x43ea3bfe, 0x9ddbbbe0, 0xe8057e29, 0x9dfd2e2c, 0x3fcfda09,
+    0xbafe8fdd, 0xe9e79496, 0x208fac71, 0x4a54e13e, 0x8c65dfb1, 0xde708a9e, 0x9782e9a8, 0x28117f40,
+    0x43a37458, 0x9dbd2e68, 0xa0175df2, 0x58b80eb6, 0x51852ec8, 0x049dad80, 0x1d648cdf, 0xd6505c46,
+    0xc9147501, 0x4aa25997, 0xe67b9f4c, 0xbf494083, 0xcde495d3, 0x87479fff, 0xa1e74d22, 0xd9b4cf8d,
+    0xd0f4d7de, 0x0b06b4c1, 0xfedc6437, 0x3c79c1a3, 0xb1835cfa, 0x23951330, 0x1c1773eb, 0x5aaecddb,
+    0xa8a0ea94, 0xbfff72f5, 0xe96057e6, 0xd6c9471d, 0x8f9c71a0, 0x9b84a0ec, 0x5420cd8b, 0x90078e5e,
+    0xf7bdb7ef, 0x82b95241, 0x255de2cc, 0x5c55c9e8, 0xce811c32, 0xfafe8a3f, 0x575704c4, 0xcb75511b,
+    0xb68c5cdf, 0x68c9b433, 0xb8295771, 0xec8cef2d, 0x26d810d7, 0x14e59dcf, 0xf4617c59, 0xedd172d9,
+    0x88246e79, 0xfe2e8907, 0xfff4d435, 0xe6502eb4, 0x9def8771, 0x595f1540, 0x9c164162, 0x3c457676,
+    0x0138b97f, 0xade38d57, 0x42afbbda, 0xab413691, 0x4dc1fac3, 0x718979ac, 0x0e9df5cb, 0xa393648f,
+    0xafc7ae72, 0xfc0213f4, 0x2305bf2d, 0x13c1ad5f, 0xe168847b, 0x2cabf612, 0x38af8bf5, 0x16e9a198,
+    0x9a2a03fc, 0x88107c6a, 0x0367f65f, 0x64e86cfa, 0x44a195d7, 0xb3fa79f9, 0x1828b526, 0xe9b05e11,
+    0x80d53175, 0xe8773e31, 0xac2d6a91, 0xf5ee7292, 0x42260f18, 0x7f571da1, 0xe34044cc, 0xcdeba290,
+    0xe04154bc, 0xb2d5ffa5, 0x85393844, 0xffa311f4, 0xc9c88b05, 0x1d711752, 0x9d56f48b, 0x624a0d5e,
+    0xcef981bf, 0x1948dcad, 0x58b7b7fb, 0x250017fd, 0x2ca9c0e9, 0x20ab0cdd, 0xfa645710, 0x7b7748b8,
+    0x10b26749, 0x0e39c532, 0x0f9613d5, 0xc09b895e, 0xbf47fbf4, 0x0757529e, 0xc8cec1b8, 0x040d0368,
+    0x6d74a53a, 0x6a953a5b, 0x87002a3b, 0x6452feff, 0xed684083, 0x0a5f85fe, 0x6df9ec77, 0x459c2e61,
+    0xb4a3f2f1, 0x7ed2a4db, 0xb8a91710, 0xa37afd07, 0xc0998a36, 0x12e632e8, 0x73686545, 0x167312ad,
+    0xcabdc668, 0xba6587d1, 0xbfff5ac2, 0x43f85046, 0x95f44f6f, 0x20a89563, 0xf0475a2d, 0x3ba90158,
+    0xf32fb696, 0x5abc2aba, 0x04ac90a8, 0xd7fba38a, 0x821ea60b, 0x6a88020b, 0xc3ccb273, 0x40404d3f,
+    0x411ac77c, 0xea4cbccf, 0x1f3b476d, 0x2adcc9fc, 0xad44e58a, 0x7c34ff2b, 0x48393b17, 0x878fbc9e,
+    0x02056554, 0x9fc26b34, 0x0b527605, 0x6ad69f33, 0x20e3d531, 0xa5a1aeb3, 0xc37643d8, 0xa518ad7f,
+    0x9bbd162f, 0x1c382e7c, 0xee474030, 0x3e7d3659, 0xfabc2d90, 0xda08f37b, 0x29b15c13, 0xe4c45949,
+    0x070a43e3, 0x145e8c00, 0x26b1e658, 0x3c75b3f1, 0xc977c5a7, 0x83ac4008, 0x8d776c58, 0x04ada9b6,
+    0x16ccd1d1, 0xa0ef1875, 0xaaa4a781, 0xde02ad66, 0xc006dd1b, 0x4ab0dd48, 0x674741c4, 0x46a76995,
+    0x7dd7ddb4, 0xdc4174b6, 0x8e167a78, 0xf9a7a69d, 0x543d3490, 0xb2229341, 0x2c65e3b8, 0x6093141e,
+    0x96521a03, 0x698074d1, 0xcd83ab27, 0x6c95246a, 0xe32e6e7d, 0xcc8280bf, 0x18214801, 0x07b2668e,
+    0xc7dd2363, 0xca3334f7, 0xc0cb5a06, 0xdc24622c, 0xc3ee91e2, 0x40c41a0c, 0x9621f974, 0x9b4ad4eb,
+    0x174c3e6d, 0xf79ef8b3, 0x236d3b77, 0xcb0933c5, 0x35e64223, 0xf632efe3, 0x2336e15b, 0x218299eb,
+    0xe3c34eb2, 0x8ef6c995, 0xe94049fe, 0x0fea28dc, 0x3fa405b9, 0xdb046fee, 0x1b284fee, 0xfc97e443,
+    0x4d54e3d2, 0x602fdb7c, 0x289e4d35, 0x6ef9328a, 0x1328e94b, 0x9f1d8d9a, 0x02f29a98, 0x5f8da687,
+    0x0a96b3ab, 0xf9eafb8b, 0xfc3a8d55, 0xa8be25c8, 0xfa277761, 0x57cd55c4, 0xe4c65979, 0x2122ba6e,
+    0x979111c6, 0x3fd5f175, 0x2f4bf63f, 0x6069bb30, 0x8b837f4d, 0x96c02704, 0x29db4a37, 0xbbf46b6c,
+    0x835e9971, 0xd4696ca9, 0x9184f712, 0x180545f1, 0x195e725b, 0xf9192a5c, 0x2fa8a053, 0x1ca87bbc,
+    0xa1f907b2, 0x137a0635, 0x93611646, 0x0f9595bb, 0xec6a5fbe, 0xa100e31c, 0x69040b7d, 0xa7a4df28,
+    0x163e70a3, 0x9dd3bf62, 0x072bbaec, 0x1b788d83, 0x984658ea, 0x19e11463, 0xc8e16127, 0xa03090b3,
+    0xd8fd2293, 0x118d7031, 0x2bc38b6d, 0xda888d6f, 0x91cc7c04, 0xfea206f6, 0x3368e2e6, 0xdacfe0e8,
+    0x90b95808, 0xabde94dc, 0x1ecc59f2, 0x6528ee89, 0x4d210d9e, 0xc0e5ee80, 0x13a77a00, 0x98c87705,
+    0x24fa52b8, 0xbe1de7db, 0xa871f5ac, 0x9e6952a0, 0xa5cc1274, 0x91464be1, 0x890b8e62, 0x701b3e0b,
+    0x61d499f7, 0x4101b6b4, 0xe38bb93a, 0x6dbd1603, 0x16e32801, 0x8888aa97, 0x159a0325, 0xf87f153b,
+    0xc205d8a5, 0x8a830975, 0x635c7bd6, 0xe23e7406, 0x5c75b68f, 0x3a3036dd, 0x90435130, 0x404f75c5,
+    0x6f737a33, 0x487d963c, 0x153872e6, 0x73b6177b, 0x66100fa7, 0x087724fe, 0x2f57eef5, 0x22a525c5,
+    0x10d5617a, 0x7b0f32e6, 0xa1d3b5dd, 0x4750f8cf, 0x255a0373, 0x74ab07e4, 0x46197992, 0x5a95e2b0,
+    0xa47a8b2a, 0x598941e4, 0x91779d6a, 0xdd52dafe, 0x7a79b77c, 0x51653753, 0xe2286f4b, 0xa6f2cea0,
+    0xee35851c, 0xa47de81c, 0x28bf1b69, 0xaa125168, 0x1a93b5cb, 0xa34c223b, 0x33ae7f62, 0x7d0f5de0,
+    0x8fc3fe6b, 0x98da92f0, 0xd9c035a8, 0x6c4a2245, 0x947df510, 0xa7bf7841, 0xec0f0d7d, 0xd0cbed79,
+    0xcb405b25, 0xb82eec08, 0xcd8a3dee, 0x31c0feda, 0xc712796e, 0x179f9f81, 0xb2641c23, 0xac09c3c4,
+    0xadcf890e, 0x1f262ea8, 0xd5a7313d, 0x86dbfb4b, 0xd0fcf36c, 0x17daad1f, 0x17972fc0, 0x09fbf9bb,
+    0xb3d5892b, 0x5c455cbe, 0xd4d7874b, 0x5fdca4f3, 0x4445c543, 0x53d28a1f, 0xd2ec6cd3, 0x0cf02836,
+    0xb7102391, 0xb2cae806, 0x23cd5b41, 0xce7a87f9, 0x46fc4011, 0x1930e295, 0x1104f733, 0xbbe1f556,
+    0xf4fffdc5, 0xc9bf3c63, 0xba26bb2e, 0x8c64be1b, 0xd578c3c3, 0x5967e1ab, 0xe738aac6, 0xea487f0b,
+    0x73dc6890, 0xf49035a7, 0x64129f1f, 0x7c70f3bc, 0xee0f4f5d, 0xf135350f, 0x1841d13d, 0x9b8c2576,
+    0x221e0304, 0x1b79aea2, 0xfdee377f, 0x9939714d, 0xa72c3bcb, 0x21d413c9, 0x340f0e86, 0x6dfb0f40,
+    0x79028fae, 0x01397a99, 0x3dafd9fd, 0xe961aec0, 0xebb8d7cf, 0x55c9f3d2, 0xcf6af272, 0xfd4826c8,
+    0x9a72f132, 0x4c65a576, 0xc191141b, 0x31fe937c, 0x7eec29a5, 0x570fc01c, 0x37961430, 0x49963722,
+    0xfbc29467, 0x256a0078, 0xe5a87977, 0x6098b64d, 0x525d0328, 0xcef13624, 0x93958da2, 0x7650f3d8,
+    0x0f701a24, 0xbe4d013f, 0xb3bf3488, 0x93510604, 0x922cb5e8, 0x68ad3a05, 0x27c0b0f0, 0x50fef3d2,
+    0x99a744ac, 0xe5c9d066, 0x589fdf77, 0x147fd0c0, 0x57d12ed1, 0x9eb48f9a, 0x7e13d232, 0x76d3a1ff,
+    0x201bbd31, 0x89ecfab8, 0xc779de08, 0x086c964c, 0xde85aff6, 0x78b80c17, 0xd2c39e26, 0x75a7bb3c,
+    0xfaa7e89a, 0xf92f1c37, 0xffb043b5, 0x2a5e68c0, 0x3e2a533c, 0x51897b3a, 0xb041c795, 0xe68f8a9f,
+    0x627883a7, 0xfbf21cff, 0x6b9b6892, 0x2926cf67, 0x3ad8b955, 0x157b113a, 0x97b69a19, 0x96c1f0ea,
+    0x01a549d7, 0x101682b9, 0x097582ab, 0xe7122b1e, 0x5e84fe2c, 0x000559c5, 0x8fe002f6, 0xaa0f05a3,
+    0xaa0feaee, 0xfd0e865b, 0x91ed6dfd, 0xcd5ddf70, 0x46b37220, 0x4d4acbe6, 0x22128158, 0x99b8e8be,
+    0x2d026d0c, 0xcdd97848, 0x6d1aae45, 0xb229c43f, 0xa447529d, 0x8b95d5dd, 0x3d631cab, 0x5da960ea,
+    0x4caa7e55, 0xd2764cd3, 0x3694d339, 0xb0add5da, 0x8d8fd645, 0x08d833c3, 0x0caa9fd0, 0x23230588,
+    0x2ad6bded, 0xf5842b61, 0x638c9b1e, 0x08a96b0a, 0xb70373a4, 0x82eae8d8, 0xf905e92a, 0x9f77d11a,
+    0xee260675, 0x6e5fd02b, 0x88a300a1, 0xaa0e13f9, 0x96a50681, 0x9120a93c, 0x286098a0, 0x6a8a9c96,
+    0x578e15bd, 0x49ce27c8, 0x2edfbed8, 0x874d0590, 0xf9eff9f9, 0xe8e21802, 0x52805752, 0x05633891,
+    0xc85e0bbb, 0x2aff9f0d, 0x74acf840, 0xbf1eea56, 0xc3b34010, 0x5032419f, 0x2b913492, 0x097eb9ab,
+    0x3020f736, 0x2cd2f595, 0x1b472fd9, 0x1f7a4b28, 0x38156c4c, 0x88803b92, 0xe95fae07, 0x03c53f6a,
+    0x7477beee, 0xc19d8183, 0x39e1ce9e, 0x30bf1bfb, 0xa07cf15f, 0xbbf9ca18, 0x6816bd6a, 0x9e0d5a47,
+    0x3c010f51, 0xa9f3dec8, 0x08cde7f2, 0x46fd6546, 0xfbaacd7c, 0xb632773b, 0xdbb971a2, 0xb1350b94,
+    0xaf67a525, 0x193c72f3, 0x1362f285, 0x1d9acbb7, 0x16394556, 0x60b5c5fa, 0xefb79b86, 0x5885e268,
+    0x4eb85303, 0x8a5d2c5b, 0x3f78bf8a, 0x1009df00, 0xbba18c6d, 0x7e0892aa, 0x2d76bc19, 0xa0de1405,
+    0x9ce853a2, 0x5727b07d, 0x4eb70733, 0xe9212506, 0x6b8f0f77, 0x6a686233, 0x3302cfd7, 0xe5f6abaa,
+    0x0de2ff35, 0x6c2ad2a2, 0x8ff7b31a, 0x1a799494, 0xa7fb96b0, 0x7ef65c1f, 0xbe57f2c5, 0x73c2dcc5,
+    0x69349eb1, 0x65a64359, 0x7d50a42f, 0x8e4a5b0e, 0x28c3fee6, 0xe8d42e51, 0x4d7c961a, 0x6c37ac3b,
+    0xfd51eed3, 0xd9705f93, 0x4849a555, 0xbbce1070, 0x6dedd9d3, 0xcbe6d895, 0xd565aaa4, 0x1d0b63f1,
+    0xe40bd9cc, 0xeb740af9, 0x7e23d0dd, 0xf1179ac6, 0xace851a7, 0xf28f9ac4, 0x5bf1cd6e, 0xb02c3697,
+    0x76a54984, 0x735dc0f9, 0xffe8d362, 0x9d99c233, 0x976661fa, 0xeef71d09, 0x2d38ea19, 0xf367efc7,
+    0x5ca8def0, 0xca81593c, 0xa714ff1e, 0x50a97d0a, 0x8e87db35, 0x80f20972, 0x6d11ba58, 0xb1ee1107,
+    0x1de44e6a, 0x6dff2dd4, 0x55524d27, 0x79d8ab4b, 0xc497cbd3, 0xe6865c1a, 0x9067aa31, 0x347f84bc,
+    0x4e0c848f, 0x252408ed, 0x04c2a0d8, 0x036959a5, 0x99f101bc, 0xfd5a2064, 0xcb489e7e, 0xe6208e41,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000309485009821345068724781056 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3715, 0xfc9257ec,
+    0x00000000,
+    0xff09456e, 0xa3d2b76c, 0xc53a6956, 0x85235999, 0x048ce5fa, 0x48748b20, 0x33134316, 0x7ac4f552,
+    0x82536ebe, 0x342e8170, 0xab09acc6, 0xe32739d1, 0x4bfe4a84, 0x0bd312c5, 0xeb75721a, 0x2bec3344,
+    0x96ff5201, 0xed324771, 0x5033849c, 0x4a562a4a, 0xfd8c4b5b, 0xcd806208, 0xc01d469a, 0x0449a45a,
+    0xac8843df, 0xea660f9b, 0xdf2d331e, 0x003999d2, 0x4bf0d982, 0xca954aab, 0x3d18510a, 0x6198a6f0,
+    0x3d3a2279, 0xa00f6911, 0x999ca503, 0x692f3711, 0xfb4a9559, 0x933704c3, 0x9d26d221, 0x8f0f4c27,
+    0x4f1c53c7, 0x282e6335, 0xe944a06f, 0xa6982876, 0x81981006, 0xf1b7480b, 0x90bd4433, 0xc853ed95,
+    0x1eb224dd, 0x979789e5, 0xa387e670, 0x51690e20, 0xa13589d3, 0x5470238f, 0x0e6c14f0, 0xb76f6879,
+    0x2f4aa413, 0xfbbc9e62, 0x44d142ac, 0x73cbc7fa, 0xc1c66eab, 0x5c88fd7c, 0x4af08a36, 0x3a6fb1a8,
+    0x337f9a5e, 0xa964d162, 0xc842d746, 0xf36ba4a9, 0x3eca7245, 0x49858a06, 0xb9616ce0, 0x424391da,
+    0x377dcd99, 0x7d97f4f1, 0xfe61d2fd, 0x37821f17, 0x8373033f, 0x98f5fe23, 0x7c0b086f, 0xf2654b38,
+    0x3b319042, 0x08f35c12, 0xfb7a1f61, 0xae4c3b95, 0x3c0332d0, 0x13a6293a, 0x82ac8ca2, 0xf3e32312,
+    0x23206262, 0xda68689a, 0xe0f4ed01, 0x78fe9393, 0x9b86ca92, 0x27c4f807, 0xbb191aa6, 0x6496f85d,
+    0xc8952414, 0xa2cbeb34, 0xb87fff31, 0x669460c8, 0x5367b9ab, 0xb1af3b09, 0x31ca8654, 0x784a03d2,
+    0xbe78c12a, 0x6ff7e47e, 0x39e7d717, 0x69272cef, 0x788f862e, 0xcdaeda97, 0x9a7ae523, 0x3219639d,
+    0xd3a918e3, 0x2a93ba2e, 0x06f3599f, 0x50fd6ff3, 0xe7f00444, 0xdd97558a, 0x4002979a, 0xff4a3574,
+    0xf3b94a5e, 0x514ad05e, 0x3c106f34, 0x66758061, 0xa2fdf0a9, 0xa9f9228a, 0xc5920d5e, 0x0ae22665,
+    0xa2177bf6, 0xf27cfac8, 0xdc358610, 0xcf974ae8, 0x7797dc63, 0xf0321df8, 0xfa680cfe, 0x5267aa93,
+    0x24ef46ae, 0xbd9dcc3e, 0x10b954e1, 0x9c9de161, 0x60e464ed, 0x68096b01, 0xb697e663, 0x909902ba,
+    0xfc295ff2, 0xbf99cf27, 0xb3fc71c3, 0xf2cc3a2e, 0x13cee92a, 0xde57afdb, 0x6676fc77, 0xd0ccc1ed,
+    0xfce26533, 0xaf8e2fec, 0x4f7881dd, 0x4fe127f7, 0x142f3976, 0xcdbc4141, 0xd6e9122a, 0x2c787f1a,
+    0x495875d5, 0x9fabcad4, 0x3aa6fc36, 0x6fef9708, 0xe7f0e5b0, 0x2d4711c8, 0x23ad7b85, 0x09f3a0ab,
+    0xa8914afd, 0xdc72b503, 0x8a448469, 0x4e60b31d, 0x9d2b6fe7, 0xf82804b7, 0xee7e053e, 0xcac66588,
+    0xc12c0cb9, 0x033b64da, 0xa0d261c2, 0x18a216fa, 0x0316d7cf, 0xd23bc881, 0xdad11364, 0x64fbb843,
+    0x6e637e4c, 0x7976b5f1, 0x4f154079, 0xa37fee08, 0x5e704bbd, 0x12e38878, 0x1e384bf4, 0x30799f83,
+    0xfb50fa0c, 0xc91f83ed, 0xada29642, 0x4a5b6629, 0x8ca9d131, 0xf698f675, 0xe69ddb7e, 0x7486b75c,
+    0xaf77ed20, 0x1702a470, 0xd969de01, 0xa0ee828a, 0x7562a972, 0x2a42333c, 0xc94df2dd, 0x3174b254,
+    0x8cec310b, 0xfd642b66, 0x4bb559bd, 0xbd214327, 0xfefd59e7, 0xeee8c199, 0x723507ad, 0x83fcab91,
+    0x6d6b3666, 0xdacabf21, 0xd489b433, 0x2a11549d, 0x39cc08d8, 0x4dc3f61b, 0x83ba7ce4, 0x6d7b9f44,
+    0xe958237f, 0x85826f65, 0xb774ec32, 0xaa22488d, 0x9f7ed25c, 0x8b2ba63f, 0x6e2e2512, 0x40e17c18,
+    0x517bd379, 0x56710f0e, 0x609abd08, 0xf232c4bd, 0x08cdbf18, 0xa172d247, 0x18fcec3b, 0xe3cc6a35,
+    0xc7d081db, 0x301e5b45, 0x88965c40, 0x63991ffb, 0x0efe9f3b, 0xd9589791, 0x548fe45c, 0xd4d0e2df,
+    0x345f3841, 0x6ef8e9e2, 0x422307f3, 0x59fcddf6, 0x81b07e51, 0xb25b70ae, 0x699b40ee, 0x54fc7408,
+    0x682433ff, 0x0c808ec9, 0xc7d80ef9, 0xd47dc272, 0x216ebbf8, 0x1cf819b4, 0x26ff3d4a, 0xdae4b9c7,
+    0x1981e442, 0x5abb3d92, 0xf3fc0631, 0x13b92e64, 0xacce2ddd, 0x31d30249, 0x19d67fe4, 0xee9996e3,
+    0x07dc7ba0, 0x5ee442ab, 0x5e22824a, 0xe0b128f1, 0x903495d2, 0x55d84426, 0x3053d3bb, 0x5565cfe7,
+    0xf1b5bbbe, 0x3a1cdaa6, 0x15f5f1dd, 0x63eb5fc8, 0x69ce41fd, 0x51ecb8fc, 0x3ef6bb0f, 0xf7a4792a,
+    0xc92a40e4, 0x7f3d39c1, 0x6df131a8, 0x1cb04f78, 0x417bc85f, 0x780bc284, 0x219b95e7, 0x2606ee1f,
+    0xc66c5a5b, 0x12c25f80, 0x4cebd8a4, 0xde5a51c9, 0xf20c104d, 0x78a8e9c8, 0x8ec4e892, 0x87bf0e61,
+    0x7b24abd0, 0x77030874, 0xd51affce, 0xafd03b05, 0x20c43ce4, 0xc463b145, 0x18fdfc7c, 0x33f953b1,
+    0xd66be3da, 0x5a9688fa, 0x2410a8a9, 0x9b73684f, 0x6d1637b6, 0x18a07d87, 0x210021eb, 0x8b51a0bb,
+    0x685c2dd2, 0x25e530d7, 0xe5184bc4, 0x23b5aaa0, 0xe45411bf, 0x8f2478ee, 0x577e2c34, 0x881d4904,
+    0xd33e954e, 0xa7101941, 0x5f914ac2, 0x29b2d0a2, 0x8174ab55, 0xb3a0e804, 0xfa9e1dd6, 0x65c761d8,
+    0x7afbfbc9, 0xb477d389, 0x43751738, 0x1a613da0, 0xe8cddc7e, 0xeb108a3e, 0xfc49d9be, 0x37e2bd66,
+    0xb98d273c, 0xf29f9c2c, 0x78444f3f, 0x9b8e6ead, 0x4a4339f2, 0xb4c205cd, 0x1d2b1769, 0xf94931ac,
+    0x535938c2, 0xd7d70e1d, 0x8a90dead, 0xc6633f41, 0x92ef7c47, 0xf9904871, 0xb3d7a6ff, 0x7edfd8aa,
+    0x83a1121b, 0xc5486ee3, 0x23606dcc, 0xed13b9de, 0xa5e782e2, 0x3fc11650, 0x947e7159, 0x116b2c93,
+    0x827335c4, 0xe0fa9a68, 0x6abf50bf, 0xd15f8e8f, 0xc2fb9b1f, 0x85249042, 0xe372ed6c, 0x44c36542,
+    0xd0be50a1, 0x05c61f9b, 0x590dc7df, 0x7ce69674, 0xdb551a4b, 0xea7f2958, 0x5e72610e, 0xa5496f0c,
+    0xff0a3b57, 0xa199fdce, 0xfe8a31f8, 0x4c5df93c, 0x3c7187a3, 0x61074f07, 0x02b86bcb, 0x4b124be5,
+    0x63706791, 0xe55c22fc, 0x8605c0a8, 0x51858c79, 0xe002455d, 0xfe9b1ac8, 0x0ddd77fc, 0x2f931155,
+    0x00e21036, 0x33f788f1, 0xc0e737f4, 0xe700707a, 0xb02c4f66, 0xb1be5612, 0xf831d992, 0x1e9fbbb9,
+    0x496d5a43, 0xf4c2a9da, 0xe8cb1923, 0x2d0e0236, 0xe08eeceb, 0x27a5c3c6, 0x192c4682, 0xa8535ccc,
+    0x43cd63f8, 0x0afe8340, 0x66fa86d7, 0xab4ce1aa, 0xe8960052, 0x821981f7, 0x151a9eb0, 0xbaaa7241,
+    0xc23cde55, 0xe8513f22, 0x0cf23558, 0x93e1e808, 0x283f1c79, 0x4cc18447, 0x8c8d9049, 0xc095caa4,
+    0x29177d01, 0x7564784d, 0x820cdaa7, 0x9c350b63, 0x2562c4af, 0xe54a28ad, 0x28f27750, 0xfb0d82a0,
+    0xc1af2b70, 0xb91a6bdc, 0x335d5858, 0x6bde3f0f, 0xa7846f28, 0x4c52eb60, 0xe944efac, 0x8fa77343,
+    0x506db12a, 0xce99f803, 0x1bb97585, 0x8f6df13a, 0xa48fe726, 0x0a73a1b4, 0xbf4c1dba, 0x1cb7630f,
+    0x1124d3b7, 0x0c0c8b60, 0x6714cd6f, 0xad6647fe, 0xac819e20, 0x7707778d, 0x910addfd, 0xef39263b,
+    0xea2bc05e, 0xdb347c9b, 0xc454946b, 0xb76cbf23, 0xfd401c8d, 0xf16ff008, 0xbbf8599a, 0x71ac1fb4,
+    0x97141fcf, 0xb6dd2137, 0xe13a55d0, 0x2593b289, 0x824797db, 0x55450204, 0xe0d14a1a, 0x0d3a405b,
+    0x3083c2f7, 0x8f1bd017, 0x494435ca, 0x0b80e100, 0xbec32383, 0xed8804fb, 0xa9f9c055, 0x94468123,
+    0x49bd5472, 0xe28f6474, 0x3c938d3c, 0xd8691a18, 0x683aa3ed, 0xeda193c6, 0x5a5e1772, 0x276e57d3,
+    0x1a4731d1, 0x85228974, 0x7ff03f21, 0x2b018bb2, 0xf2232736, 0xc3c7f555, 0x0f4dd76b, 0xc8aa48f8,
+    0xbd6407b6, 0x13ff9da1, 0xc1e13e8c, 0x282abd3d, 0xed3940bb, 0x138d3921, 0xfc7f462b, 0x61e58b45,
+    0x46f58fec, 0x24cfc4ad, 0x13766253, 0xa0b0a7fa, 0x0e547cc6, 0x7257ad1f, 0x9bf71c6e, 0x74277536,
+    0x5739477e, 0xf46e0dea, 0xc326e51d, 0x06ecdf33, 0x7425a42d, 0xd8bc46d2, 0x9f8b792b, 0x25f219f4,
+    0x460b7d1f, 0x37a3c725, 0xb6c35c28, 0x51517b77, 0x8ea2563a, 0xc0be03d3, 0x32236569, 0x10714f95,
+    0x62ea6d51, 0x6517f9b6, 0x2b3393e9, 0x80d3a828, 0x679d0d53, 0x7bd8d853, 0x5db1a808, 0x3f63666a,
+    0xd595c912, 0x5759f2f8, 0xd5cf1ac1, 0x637034ac, 0x4a172685, 0x0983ad31, 0xee93ac20, 0x3a93a8f3,
+    0xec45495b, 0x8e233407, 0x1e5ba9d6, 0x1ba9048c, 0x193afebe, 0xeb73cabb, 0x98d4a1c8, 0x542bbfd2,
+    0x5c8e3cc6, 0xc6c7b0f9, 0xddd890d0, 0x0b2a6960, 0x4457606b, 0x2a285849, 0xb014d52d, 0x22d1e232,
+    0x9ccf7320, 0x97171034, 0x8cd333b6, 0x4363b680, 0x7faac237, 0xf9835bbb, 0x71f5f013, 0xe846baf6,
+    0xf55e7627, 0xaa364878, 0x3ca9d9f6, 0x341e7ff3, 0xf905408c, 0x2781c070, 0x3af78926, 0x91f760fa,
+    0x6c0d569f, 0xead1987e, 0x1f104d16, 0xd7daba18, 0x3432c8d3, 0xa90a212a, 0xbcc7d301, 0x97a1e9ba,
+    0xa294bf09, 0x25cfd706, 0x83a63475, 0x744ed487, 0x78ee760b, 0x761cf7a4, 0x519b821c, 0x58fc3fec,
+    0x423ace11, 0x2334913e, 0xc7770934, 0xba78b3e0, 0x02b706a3, 0x8fac2164, 0x7e67ef60, 0x616ecb3b,
+    0x196afdce, 0xecdb88d1, 0x4334d4bd, 0x44d50eaa, 0xed128987, 0x63fae245, 0x8490ae9b, 0x2c7f2d2d,
+    0xb6c97852, 0x43a489ed, 0xa78392ac, 0xaead4673, 0x107d846d, 0x1db6f53e, 0xc95bd374, 0xc51739d9,
+    0x7e56d5db, 0x9e121064, 0x833c9876, 0x55eb7b2d, 0x21ff5ee4, 0x85e0d2a9, 0xfdc9101f, 0x1004a850,
+    0xc2c8ac90, 0x91beccef, 0x51b6c0ab, 0x09fd6a09, 0xee19eea9, 0xd4fd382a, 0x20720936, 0xe334d3f7,
+    0x41436ecc, 0xd56828b6, 0x9c855aa4, 0x66041d1a, 0x06a0d4e0, 0x875996ae, 0xeeb77904, 0xb1541fc2,
+    0x4cd5263b, 0xe4d8a431, 0xcc7c8847, 0x4ad527c6, 0x03bdb0f0, 0xa620e6fb, 0x35920bd7, 0x6f6bfe81,
+    0x87c57d23, 0x52a13b66, 0x01dad151, 0x523a8650, 0x23148803, 0xcd4d7265, 0x5c1f1a50, 0x47666a38,
+    0x6e2aee12, 0x98728006, 0x9f751bc5, 0x52fd13f4, 0x9b7274ed, 0xe8b4d838, 0x90fc08e0, 0x58826588,
+    0xfdb4a92f, 0x26049518, 0x62297f49, 0xd6482173, 0x6ace7e8d, 0x69531666, 0x59ec18b9, 0xd8f8bb66,
+    0x26461cb8, 0xefff2098, 0x3a1a148a, 0x0c82fa6b, 0x622b01ae, 0x548d5860, 0x0ae51b24, 0x27bb59e5,
+    0xfcf47276, 0xc722f3e5, 0x2437d952, 0xfa43a399, 0x11a33901, 0xb3b61472, 0x99b23cb7, 0x13301e00,
+    0x13264e54, 0x11382f34, 0x3af37b2b, 0x2980ef7c, 0x0c38a7a9, 0xd969e976, 0x3843f4e5, 0x1280122d,
+    0x3ac42771, 0xc3b126f2, 0xffc398fe, 0xeeeaabd0, 0x8cb5dcfe, 0x716105a8, 0xd4f28dab, 0x33c6bbc3,
+    0xc049dca2, 0x1fdc9dc2, 0xb8438ecd, 0x18c627d6, 0x32969b26, 0x2f5e5141, 0x66cf1266, 0xaac415d0,
+    0xb5d80760, 0x56667f7a, 0x5e44c1a4, 0x3ad4341d, 0x9f574a22, 0x3291874f, 0xfaae859e, 0x353dc523,
+    0x38dafddb, 0x601ae11b, 0x784dbc21, 0x4f182479, 0xd6ef458c, 0x0d8d7d3b, 0x3a69bd65, 0x7d8250b5,
+    0xd41c26a2, 0x825eb91c, 0x131753ef, 0x67a4ceb6, 0xfb0bdaa1, 0x32692c0a, 0x5fdc0e57, 0x96bbc333,
+    0xdc415a9e, 0x911da9b9, 0xb9afb771, 0x08d014b6, 0x41805605, 0xeab1b974, 0xa854e5e7, 0x769309e9,
+    0x04f4ae3c, 0x0b6de7b5, 0x81c6bc86, 0x14ed6a79, 0x92c2c930, 0xa2bc6c8f, 0xeb3bb56b, 0x93c39b27,
+    0xc8103a7c, 0x1aee9bdb, 0x7cc1e3f9, 0xf29d6905, 0x94185932, 0xf2158533, 0x70031891, 0xd148fde0,
+    0xdbf4e676, 0x54a7b225, 0xa2dd7de8, 0x94d5e09d, 0xd763f3fc, 0x8a10aa45, 0xaec54977, 0x7ee3dbbd,
+    0x9fee03a5, 0xee9bd15e, 0x4d7c837c, 0xd0cac08f, 0xb300dab5, 0xb44ee2c8, 0x8a2ad628, 0x5ca7b088,
+    0xf2d9d489, 0x34ab59cf, 0x084d5f13, 0x79fb8421, 0xf3aefda7, 0xe27e9824, 0x68e5bddf, 0x063006bd,
+    0xa28288a8, 0x2ce76f0d, 0xa717e9ae, 0x50cca2cb, 0x47d12fb7, 0xfb605d6b, 0xe28f4747, 0x49001a39,
+    0xcb0bfda1, 0xb67469e3, 0xe6299ff2, 0x07850fcd, 0x1fe6fc75, 0xe4aaf223, 0x3bd6995a, 0x3e12d69c,
+    0xc5986004, 0xfc2b2666, 0x275deb84, 0x89daf3da, 0x19923c8f, 0x67f828b3, 0x2cbb58c8, 0x783b9d30,
+    0xc6912d99, 0x9a0f3d40, 0xbc62bbac, 0x00d353e5, 0x49905631, 0x1b1c0147, 0x69a49118, 0x8141a20e,
+    0x53eccb48, 0xe40279ee, 0x93d8f1bd, 0xd5bfdc51, 0x61744e25, 0x30081f6d, 0xa61fb147, 0x6360dcb5,
+    0xa9036b07, 0x51b2dc6b, 0x480ec430, 0xc3ff721d, 0x2bf131da, 0x08db88c5, 0xb7eb7a12, 0xd01e36fa,
+    0x2523afe6, 0xd31acbf7, 0x8d6e60f4, 0xd3537a5e, 0x08062b76, 0x2adfa00a, 0xa6688f0e, 0x16b5b0ab,
+    0xec8f3428, 0xd55b85f2, 0x98dc93ba, 0x0d815def, 0x542c9136, 0xddf19532, 0x9ea950ce, 0x90e5b3ba,
+    0xe2cb7e37, 0x0cf86c7c, 0x26c5542d, 0xe54e55bf, 0x689e0bb8, 0xe969c8e1, 0xe9a991be, 0x050068e5,
+    0x1ce9156e, 0xbbcf5eb4, 0x725f1824, 0x6e1ace4f, 0x78eaa9e4, 0xfb79736b, 0x1f2c9b2c, 0x9d3d3f45,
+    0x91ca2f22, 0xa5b8b089, 0x81a229e3, 0xb1163c93, 0xdaa137de, 0x0970e08b, 0xebc00ef5, 0x5f084328,
+    0x1ec24e57, 0x1803a1fc, 0x5ebf5789, 0x5d9ed6cc, 0x3e701185, 0xb19c7413, 0x455ae68f, 0x15dea3a8,
+    0xc43d5a9c, 0x9eb5f8a9, 0x14dceb69, 0xf76165fb, 0x1355b395, 0x2b46a83a, 0x8c9d6f7e, 0x04c69574,
+    0x5af16669, 0xad4d100e, 0xc11a01b5, 0xbcbeee05, 0x72a07298, 0x252a52fb, 0x252e776c, 0x85776de8,
+    0x8f91dc2b, 0x619c20ee, 0xdbbea09a, 0xf321f386, 0x505ecf2a, 0xd3f96433, 0x7c42c2cd, 0x57f07bae,
+    0x378e11e2, 0x3d18c3f2, 0xd215cf77, 0xd4f4e061, 0x40027264, 0x3ea276a7, 0x77f1d546, 0x5ef060a3,
+    0xc7f912b3, 0xa73816c2, 0xf3fa13dd, 0x54d5d581, 0x8b892a2e, 0xe0bc5900, 0x6bf56924, 0x003f3111,
+    0x49ed6b6e, 0x002529dc, 0x5db25ab2, 0x171ba8e8, 0x2879be5f, 0x99fccaf9, 0x3737f210, 0x1ed97acf,
+    0xcc17eb71, 0x3d686cad, 0xa9cdf241, 0x4ebcc70c, 0xc78c8bea, 0x3180837f, 0xd3119719, 0x611226ef,
+    0xa8715590, 0xb719d184, 0xeb0c9d3b, 0x262563a3, 0x509f28a5, 0x07e16c9f, 0x3bd96958, 0x5544c82a,
+    0x1c34793d, 0x6a708c91, 0xfbfb51f5, 0xd1fa758e, 0xe180f46f, 0xbca87024, 0xcb94803c, 0x9c16598f,
+    0x8053e518, 0x786077d4, 0x0a029063, 0x624c5237, 0xefab3f54, 0xf28fc513, 0x9e1fced3, 0x998b3647,
+    0xb0de4b9a, 0xf1c360f2, 0xdc906a75, 0xfb0a7cc2, 0x61c5e681, 0x2e3637cb, 0xfb68543a, 0x456a162e,
+    0x81f45910, 0x492a60be, 0xcde069a7, 0x4fd92704, 0xa1650c4e, 0x61dedf6a, 0xab8e9829, 0x4b66edb3,
+    0x633d05b1, 0x099550d6, 0x3cd06cb8, 0x1ae77c90, 0x8e9465ec, 0x1d0c2f86, 0xb3d8d654, 0xa3295f87,
+    0xca5eb7fc, 0xc4657693, 0x835ec424, 0x8888095f, 0xc8d5dbc5, 0x4c176070, 0xebffee15, 0x32699c84,
+    0x345a1260, 0xe3061e93, 0x3dc27bad, 0xa2d4d38b, 0x7cef2147, 0x2f65d2d8, 0x6ac3f5af, 0xbbdc09fb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000154742504910672534362390528 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b8a, 0xfe492bf5,
+    0x00000000,
+    0xff8484ef, 0x9370ce39, 0xcb80128b, 0x7bcc4cbe, 0x5ebf824d, 0x522f01d2, 0xe1c51a43, 0x7efbbf55,
+    0x28af4638, 0x3b906532, 0xf685380f, 0x85390616, 0xb8f3f367, 0x911c96ac, 0x4cc1b612, 0xbbdd9bd1,
+    0x62e8decb, 0xa8e97fd5, 0x537d207f, 0x0e1b0874, 0x840f7ef1, 0xe87f9c68, 0x8a765e9c, 0xe231ace6,
+    0x1cb12858, 0x9dd2fc7f, 0xd4021829, 0x215ba849, 0x922142dc, 0xf434ed4a, 0xf849b6c0, 0x2f625a07,
+    0x72624699, 0x1e097ea1, 0xc425b794, 0x74f8889a, 0x2abff387, 0xf6095aa7, 0xcf5987a6, 0x26bc4889,
+    0x41e3edae, 0xcaa4974f, 0x49484067, 0x738263c4, 0xb44a631b, 0x97499dfd, 0x420ea0cd, 0x3eaab2e4,
+    0x2c3ba55c, 0xf289aa51, 0x532a138a, 0xb06b2aa4, 0x23e15786, 0x49df4ee2, 0xe40a52ec, 0xdeecdf23,
+    0x58c63c3c, 0x9aa9212b, 0x004ab33d, 0xb946b9d4, 0x6b7556ea, 0xaaf6c67e, 0xc0094676, 0x61f6e35d,
+    0xb0457381, 0xacf24d41, 0x488b5904, 0x0ca43a1e, 0xe5d1c0a1, 0xf33aa10a, 0xfba8b30e, 0xc561ba1b,
+    0xbd565bb2, 0x3fa795a3, 0xc4d3c0c2, 0xa51efc6d, 0x3806f3b8, 0x221905b2, 0x612d6349, 0xbb8a059b,
+    0xe56de80e, 0xf727d506, 0x13cb06fc, 0x901b2a11, 0x4ca7f730, 0x91ac35bc, 0xd4f0fef6, 0xf8e6215f,
+    0x1a1e79e6, 0x21038c76, 0xbe371f13, 0x76841792, 0xb6338a8b, 0x8485c765, 0x949b9eb5, 0x6e3f9591,
+    0x2b5e8801, 0x2c7e9bf4, 0xb218e983, 0x4ff0b4a8, 0xdac63f4d, 0x24fae204, 0xa9fd796b, 0xf0a31ab3,
+    0x01c9aab9, 0xfa73e145, 0x7ad9adf7, 0xdf4c5a2c, 0x23e4613c, 0x8ec46d86, 0xdbcf58ca, 0xb1ee7a5b,
+    0xf10bb98e, 0x43a37997, 0xbd31b8a1, 0x909ec1f7, 0xeed55d11, 0xc368d78e, 0x8add5637, 0x28d7dabf,
+    0x754803bc, 0x466b85cd, 0x92e7c960, 0x6c093816, 0x30de8b14, 0xb5ec6b08, 0x8f4ff437, 0x72a2ff5f,
+    0xa67618ff, 0x16273f66, 0xd8504cb5, 0xbc05ec8a, 0x48e299bb, 0x90ba0777, 0xbda47082, 0x2b4c2057,
+    0xbe06b09d, 0x169d3561, 0x5794eec1, 0x8c58fcd0, 0x1d5f9b6f, 0xe4a0e5fc, 0x9dbbb163, 0x501978c4,
+    0xa9898143, 0x8f921253, 0xe5792343, 0x31829963, 0xad68a03a, 0x57c35981, 0xa7e413a0, 0x00517f88,
+    0x15dcce52, 0x02a9b56d, 0xd0d3100d, 0xf795dc50, 0x6f8035d3, 0x0bd24c0a, 0x0beeaaa6, 0x08024a87,
+    0x65e7c8bf, 0xf1ab50b4, 0x26adb0d1, 0x8e9e63c9, 0x40aad6ee, 0xf6e4d76d, 0xe16554ba, 0x5267f782,
+    0xe9cebb92, 0xdcbe8741, 0x0fdf8d57, 0xcebb3419, 0x3a657ae0, 0x9c4fe7f4, 0xba783306, 0x26cc3604,
+    0x0f9e2b0b, 0x793e28ab, 0x053411e8, 0xd70b8cfd, 0x2490613e, 0x93f9567c, 0x921d0af2, 0x0447fd09,
+    0xf5f904fc, 0xa7c53ad9, 0x330fa975, 0x760a2864, 0xa38be9d9, 0xbb7e6f65, 0x260a52f3, 0x77a47f4b,
+    0x56959f67, 0x897a472e, 0xe4f2ff9f, 0xb2188713, 0xfc19adcf, 0x35224df4, 0x7fd6cfc9, 0x354af536,
+    0x4ad691fa, 0x6ee908de, 0xbd1fc521, 0x75d90691, 0xa7ff33a5, 0xb78db305, 0x5a2887ab, 0x10e87b4b,
+    0x62dc0f17, 0x14d8cdac, 0xa8067673, 0x9a981a8e, 0x246fb54f, 0x2efaaf23, 0x38298dcd, 0x30df4674,
+    0x6e631ccb, 0x9e447707, 0xe1937f1c, 0xe388d107, 0x04a59b30, 0x97757837, 0x030d3503, 0xcc15c979,
+    0xb676f469, 0x6e12e6e8, 0xdea3347d, 0x12bb9a47, 0x45c440bb, 0x16e2d8c9, 0x08181d78, 0x9bd6f34e,
+    0xd20c6f84, 0x075951b2, 0x93cacdde, 0x7464f9dd, 0x00457ed7, 0xb0824a98, 0xb6651b1f, 0xf55d5cfe,
+    0x2d910fa5, 0x3bf40474, 0x44482b58, 0xfe0f6f2d, 0xfaaf261f, 0x68ad5e64, 0xf88861fb, 0x0e021be7,
+    0xbdf73e71, 0xafd60bb6, 0x85591e51, 0x955be550, 0xee6bb635, 0x9bc32665, 0xc3ddf8b0, 0x164421b7,
+    0x9dc4bc15, 0xb3d2dc6e, 0xe8c41bc4, 0xb36c5d8a, 0xe30f9b70, 0xe07392f9, 0x6a351bd9, 0x5233b740,
+    0x218b7fcb, 0xd4f3d122, 0xd99cc7d4, 0x400c3329, 0x38699131, 0x64cd815b, 0x6160d8fe, 0x505631e7,
+    0x2b4a5af6, 0xdefdeadf, 0xd629530a, 0x15d48b26, 0x9d8d2fee, 0x9057798d, 0x66aee1c8, 0xe1baee22,
+    0x2ed4e038, 0xb4a5c8a8, 0x67660cab, 0xd78709b2, 0x3a8a8105, 0x62452644, 0x45a0fc84, 0x426e8914,
+    0x1f270122, 0x28a5a036, 0x838d9701, 0x6e7d7d6b, 0x3c13d750, 0x230ea0f4, 0x4670dee9, 0x7e4d5797,
+    0x24227e85, 0x1b465ae3, 0x6f70ef5a, 0x02078e4e, 0x2c8b42ed, 0x0f3ca3e2, 0xa2aa90ba, 0xc9210076,
+    0xca211000, 0x972a84c1, 0x9acb1c3b, 0xa340c490, 0xd28e7048, 0x0dd2950c, 0xb0750953, 0x0d0fcc10,
+    0x3952ddb0, 0xd87dfa12, 0x4a32065e, 0x19fa37e1, 0xe1ad09b5, 0xf8999945, 0xfee04fb8, 0xc197d6e4,
+    0xfa4de5c9, 0x392e6499, 0x8db82020, 0x0c0585c4, 0x47d9609b, 0x69215515, 0x986dd129, 0x860d5aa9,
+    0xeffed194, 0x3f4a046a, 0x02f157ba, 0x465d872e, 0xc9e5d3ec, 0xa5601615, 0xb6798b1d, 0x037feda6,
+    0xfb705610, 0xfb5182d4, 0xd50ad9b8, 0x655416b8, 0x9b3e85ca, 0x512b1d5b, 0x4c979dbd, 0x9c5612dd,
+    0xb80bdb84, 0x775a692f, 0x2f255f61, 0x4eded57e, 0x423f436d, 0x50e67365, 0x0055fe1a, 0x4003937d,
+    0x7fefea8c, 0x8efadb2e, 0xf945d259, 0x441c8636, 0xd42ff6d0, 0xcf3c5be3, 0x15e406a2, 0x70d185e0,
+    0xfffe8944, 0x56bf3afb, 0x682ab7b2, 0xef6a478e, 0x7fee7a87, 0x1cbdbfcf, 0xacae7c61, 0x2d6f3904,
+    0xcb7a5735, 0x81e9e3a3, 0x03d6db3f, 0xc3c78977, 0x7671834b, 0x2314ed40, 0xf917c33e, 0xbcda30d1,
+    0x1a1c74c0, 0x47b647ff, 0xe951abce, 0x9922c282, 0xbe0026ff, 0x166fd445, 0x77861294, 0xe38df024,
+    0x613715c0, 0xe827534f, 0x858ad400, 0xb900a872, 0x6bc233e6, 0x1f6e20db, 0x85795223, 0x95381238,
+    0x680124dc, 0x0176d22d, 0x7e194632, 0xe5796ae7, 0x7f18f306, 0xa7d9b26b, 0x95a8a235, 0x875b7919,
+    0xc4de9d89, 0xce22e6bd, 0x11c694ed, 0x319a480c, 0xfcdbef97, 0x374fc563, 0xa76b44ae, 0x47c727cd,
+    0x3420850d, 0xb3cd02b4, 0x0f6a5830, 0xe35aa11a, 0x8ff339d7, 0x67361a98, 0x5af97e3d, 0x40b8ec36,
+    0xfc33374a, 0x4226e0d5, 0x84b086b3, 0x51daad3a, 0x599eae85, 0x8732771a, 0x2c66cbc9, 0x60de82b4,
+    0x6d958176, 0x2377c940, 0xd3cf93da, 0x0f2130c2, 0xb3b86c0e, 0x81395c0d, 0x9731dca2, 0x3f5c92e9,
+    0x6d130f21, 0xd6e2ff7f, 0x406b34e1, 0x8dfad756, 0x27567edb, 0xaf3a1684, 0x8639f25a, 0x64ff01af,
+    0xda462fa7, 0x379cb81b, 0x802a0227, 0xfb114d97, 0xf3dfc9d2, 0xc8faba19, 0xdc123615, 0xa1a6b5a8,
+    0x9d870a99, 0xf5a13988, 0x5e693530, 0xc4f4b53c, 0x01c22374, 0x3cfde747, 0x3f521c86, 0x1a78592a,
+    0x6708e694, 0x875691be, 0x53222d21, 0xfc712afc, 0xa85243b3, 0x779fbe98, 0x792a1a77, 0x895d5115,
+    0xcbba50e1, 0xdb7cd03a, 0xbbd96c71, 0xd5689e58, 0x10d27511, 0x8163ec4e, 0x62b5cac4, 0x7c7742d7,
+    0xbc63c0db, 0xe421a5c9, 0x12ac6ced, 0x4af19634, 0xc4245869, 0x229da318, 0x8d665de8, 0xad03e925,
+    0xb06f9f16, 0xf0c45006, 0xf68be825, 0xd21fde4a, 0x67a3d2d4, 0x459b2326, 0xafb2b3c2, 0xa37c5da1,
+    0x57c6ecb0, 0xa6e9f5ef, 0x91e53047, 0x9a29343d, 0xe460d0b4, 0x40f92035, 0x8a61bc0b, 0x1e4986c6,
+    0x6ae9d6e5, 0x6f62011a, 0x254a01ef, 0x6b4ce8e2, 0xa237b536, 0xc49fd96f, 0x2fb6472a, 0xe8b1f24a,
+    0x35892668, 0xc816a834, 0x98335b80, 0x197cf8d8, 0xf3e9c530, 0xa8bcfbe9, 0x564c4d6c, 0x2fa62033,
+    0x7de7415d, 0x853e6f11, 0xf5be6ac0, 0xec79ab7b, 0xc8d165d3, 0x70e54fb4, 0xa01926d5, 0xa6cf5a59,
+    0xdb2611c9, 0xda9975e7, 0x4dcb52b9, 0xa4429af7, 0x1d2b847a, 0xb92f107f, 0xb04e600d, 0x3e196b97,
+    0x8aeba500, 0xde264125, 0xb42b794e, 0xa473d08e, 0x444aac42, 0x1888660a, 0x5812e727, 0xc20316ee,
+    0x80a144fb, 0xe63cfeb3, 0xb8ee8578, 0x382caa9a, 0x7bfefb05, 0x1847ce3f, 0x3b87bfff, 0xc413c969,
+    0x91202ba5, 0x9a2cb5cc, 0x485abdc2, 0xcfee45f8, 0x40ebcddb, 0xb7d6f2f6, 0x0488c181, 0xa306a220,
+    0x5484cb76, 0x6b55e4b2, 0xcc678833, 0x823fe81d, 0x98f2cb73, 0x13e8c88f, 0x7f1a44ba, 0x289cb80b,
+    0x902855a4, 0xf3a93392, 0x59ea6270, 0xf6632cf3, 0xa65958db, 0xd9ff976b, 0x4594150e, 0x519192ee,
+    0x7c7242ad, 0x5d516a7f, 0xb85f40b4, 0x2a002178, 0x7256b8e9, 0x30ff31ac, 0x40bbbfe5, 0xfc1150a1,
+    0x7b70f941, 0x6c043bd6, 0x9444d4d5, 0x7d81cfc3, 0x98270ec2, 0xa31de31b, 0x3b228278, 0x189badfb,
+    0x267cc6b4, 0xdf0bed83, 0x71ffdcc9, 0x891ba6c4, 0x2f03e14f, 0xb58b6935, 0x81870a8c, 0x300868ab,
+    0x3fe98938, 0xf10ae450, 0xeaff45cd, 0xb0ca46c4, 0xee40a7ab, 0x6a3b6b71, 0x8a7d3ccd, 0xccbed8d2,
+    0xc45982c7, 0xfc87ddef, 0x9ee84866, 0x2aceda57, 0x4c975fa2, 0xd193920e, 0x7ce331f7, 0x59c620ee,
+    0xb97ed39d, 0x9b1d619f, 0x16e3af20, 0xd406d1b1, 0xdb91d9c9, 0xaa26d42d, 0x78709d65, 0xa759e879,
+    0x1de20a49, 0xd8aea122, 0xb25f10de, 0x17082fa6, 0xaffd8f62, 0xc0e65de7, 0xd7ed5853, 0x1705426d,
+    0x784e3aa6, 0xbd431571, 0x9c37f9a1, 0x4adf00f2, 0xc4024b0a, 0x815a566f, 0x51e41a8e, 0xce301f89,
+    0xb59310d4, 0x1b4d3d5c, 0xb9013bad, 0xd3d1c729, 0x5c432b37, 0xb4147543, 0x5012ba84, 0x2c4ed7e3,
+    0x9130bebb, 0xee3d423a, 0x27cfe51c, 0xc24e96e5, 0x2c450de5, 0x9a979786, 0xa191d403, 0xe948d862,
+    0xc6d3c7c6, 0x1f135c4f, 0x143230f6, 0xa58d111f, 0xc279380d, 0xced5210a, 0x74245c06, 0x25f4b63d,
+    0x635fb335, 0xe5a587c6, 0x60c6e49d, 0x79b158de, 0x8635bb8f, 0x66eda46c, 0x1fce1f13, 0xe03c0b93,
+    0x10ec2324, 0x30c457b9, 0x48b301e7, 0xa31f7053, 0xc5539a4b, 0x64149b97, 0xc0833421, 0xadf3f03e,
+    0xbf0274d6, 0xe3aaab09, 0x73ea7170, 0xb526aea9, 0x73e9711b, 0x3edf68c7, 0x5ae0072c, 0x61095d80,
+    0xbea041c2, 0x6819a7f1, 0xae1a4745, 0x04db9cd8, 0xe54e77d7, 0x1f51daff, 0x3b8ff333, 0xd05b3dcb,
+    0xa9059b5a, 0x7a9e004f, 0x62226b97, 0x3c6f7e66, 0xe3bd783b, 0x778a98f6, 0x1c9b6b5b, 0x5c9a5e46,
+    0x7fd0eac6, 0xf6f60c6f, 0xd6c97678, 0x58f72f8f, 0x5c239070, 0xc902dcdb, 0xb043c8da, 0x5e597dd0,
+    0x63e49745, 0x38186e14, 0x23b4b867, 0x0859727d, 0x6a36aad8, 0x9c9de5af, 0x46ce4b41, 0xb2c84ec3,
+    0x45d72087, 0xcaa6feb7, 0x81f9c6c9, 0x6b273929, 0x31749510, 0x5d8cd521, 0x255293d0, 0x8ea2c457,
+    0xb254fcbe, 0xd6f4440a, 0x2ac695e5, 0x436f67d7, 0xdc1911e8, 0xe795a298, 0x02037ac6, 0x956ba59a,
+    0xebfbcce9, 0x6f5c9da9, 0x7857293b, 0xf313687c, 0x1f878d6d, 0x0caef61f, 0x96e920b0, 0x3c7d6968,
+    0xd2e788c2, 0x224cb393, 0xad654069, 0xf6109f7b, 0x7bbf6f67, 0x0acc4177, 0x2a724a96, 0x5a70d426,
+    0x575b6a87, 0x966954cb, 0xd2b5e684, 0x4d46628f, 0x77d4b034, 0x00c9a9c7, 0x5ee3188d, 0xba0da4f6,
+    0x9da60fe3, 0x88eb48cf, 0x189b5b3e, 0x9cd0be9c, 0xdd68633e, 0x1685e271, 0x529ae9b6, 0x3bd65cd9,
+    0xfa42c223, 0xe7080e69, 0x7c5be63a, 0xddffb84e, 0x89abf3f2, 0x64d977d8, 0x4b05f899, 0x34d38bd8,
+    0xc8de7cbd, 0xfdae66c9, 0x34602af0, 0xf5eb6eaa, 0x0b76ab38, 0x6b6ebc75, 0xbf118d36, 0x7c861dd7,
+    0xde064390, 0x2d3970bb, 0x033c60f5, 0xabff1e9e, 0xb1f5a9f4, 0x5ac8cf87, 0xbd8ad60f, 0x961059ef,
+    0xa5d4a4d4, 0x17b7fc06, 0x8cb666b9, 0x4c8a67d9, 0xd9fc461b, 0x93bba52c, 0x3101b67f, 0xa76a174f,
+    0x47ac51ae, 0x857a8dde, 0x51dc0586, 0x9b6d3e0e, 0x23df1ade, 0x67ba328e, 0x0de0aafe, 0xf4bfc476,
+    0xc2959414, 0xf5376da9, 0xaf75c384, 0xad1ce5a8, 0x6fa7ab09, 0xc08857e1, 0xc9ddae99, 0xc4201b6a,
+    0x93da9d27, 0xe5eb9636, 0x22e5821d, 0xfcccc12a, 0x2eecd767, 0x08619153, 0x796c9563, 0xe859686b,
+    0xf87ab972, 0x3656bc6a, 0xb2182b63, 0x25d9f65c, 0xe22f6d4e, 0x67fc5eac, 0xa685edeb, 0x6deac089,
+    0x294b9e01, 0xa0440a7f, 0x6e50625a, 0xa8ac534c, 0x49643c66, 0xe621ca73, 0x2b8e40b1, 0x6e238fd3,
+    0x24f7942d, 0xa5db04dd, 0x7d214317, 0x87f5781d, 0x636019ce, 0x49702ae4, 0x75e3eab9, 0x51ab352f,
+    0x0f8aa6e6, 0xb0cee22f, 0x324671ea, 0xaff2bbe9, 0xbaa80433, 0x34611081, 0x72ce768c, 0xa05b26ee,
+    0x7b4f3783, 0x9849c461, 0x43797b7d, 0x851e9527, 0x3b868bd4, 0x09d4f275, 0x901d34ef, 0x66677290,
+    0x21bf51bf, 0x81474dfc, 0x864bc701, 0x8fdce808, 0x06d5c4dd, 0xca439822, 0x1898662b, 0x937ba94d,
+    0x635f31bf, 0xef73148e, 0xe99adaca, 0x32d0b966, 0xa19e26e7, 0x1fde6528, 0x5ad0493f, 0x5edcd134,
+    0x5b5f5856, 0x579bff0e, 0x0b58103a, 0xf32cc76b, 0xecf84a30, 0xd8f10176, 0xd1129499, 0x9437b11e,
+    0x4e5fa22c, 0x9fa75044, 0x910f78ff, 0x763ad8dc, 0x3c913b7e, 0x065e1bd0, 0xd99bded9, 0xc0af7cdc,
+    0xee0d21b6, 0x437969f9, 0xc6f8b086, 0x94aef0ca, 0xfd9e2c4c, 0x377e871c, 0x078638d0, 0x8772749d,
+    0xecf81a09, 0x02879fc1, 0x905f6ca2, 0x1db1bd5c, 0xb90c6112, 0x9f22cb6a, 0xe32d426d, 0x63a17594,
+    0x8e87b3a4, 0xd29806c0, 0x6ed27a8e, 0xcbf10cd3, 0xa0ea0d54, 0x4a1cac09, 0x5be20846, 0xde0805eb,
+    0x7d68f789, 0xe7d6110d, 0xb297ed7a, 0x98d6bf28, 0xc22e2631, 0x33244be9, 0x18fd9199, 0x3f82828f,
+    0x643a1cc6, 0x2070cb8e, 0x2c1f3881, 0x6ce613af, 0x9fb412c0, 0xec89fc7f, 0x3d1dc06e, 0x3ce2fb3e,
+    0x618e902c, 0x1138cc5d, 0xe56c1532, 0x435afb45, 0x39052213, 0xa2f64498, 0x04f2f656, 0x5674000d,
+    0xbf9daef5, 0xf71d21c0, 0xcf66d927, 0x592a71a5, 0x16aa9e7a, 0xbe507abf, 0xed1f848c, 0x354b1230,
+    0x20b53b0c, 0x739a486d, 0xf8cb5843, 0xbb853f75, 0x42724b4b, 0x72397460, 0x30c12fd6, 0x188c616f,
+    0x7cd9892e, 0x55db5d1b, 0xefa3d576, 0xa57ec92c, 0x34adda99, 0xf81732a8, 0x41601bb9, 0x1080ce0b,
+    0xb4eecd1c, 0x5c4c8dfd, 0x5e0bac15, 0x7a3eefb2, 0xffe57eec, 0x24412b0b, 0x45f480b2, 0xb0157242,
+    0x38e3f3b2, 0xa8fe2e94, 0x21d83cca, 0xb2e5a8cd, 0x68f21cd5, 0x8d879b75, 0xfdb0eec1, 0x3f8807cf,
+    0xd6ff0ab0, 0x69090b22, 0x106bc6db, 0xcabb19c7, 0x5609b6c0, 0x3edb4d5d, 0x1601547d, 0x132e1eb6,
+    0x48e88e7d, 0xf8353dfe, 0xda6fc856, 0x4d7b1a76, 0xf23760f4, 0x787f35ba, 0x94c7aa21, 0xc8d415ff,
+    0x182a4907, 0x08d0b5db, 0x073c4b60, 0xe7ff9218, 0x5f77d3c4, 0x9b2df266, 0xbe73cfc6, 0x5ec826d7,
+    0x325c1687, 0xa4de401b, 0x9135228c, 0xa140a415, 0x6ed6cb9c, 0xd27aedc1, 0xeabbea24, 0xbb62e24e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000077371252455336267181195264 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc5, 0x7f2495fa,
+    0x00000000,
+    0xb4d945bc, 0x153cc76c, 0xb108191e, 0x79ebd8b7, 0xb8f35fc0, 0x5b6c579f, 0xea0d5fe8, 0xa5a6d31b,
+    0x716a489e, 0x2115ddfa, 0x76b74db1, 0xe22ebca3, 0xcfc98a18, 0xd2dcb396, 0x14657913, 0xc0d703c2,
+    0xf5de5c4c, 0x50777519, 0x4d510f41, 0x013b3eca, 0x13ec9de5, 0x9e595a6f, 0xdaca8086, 0xdc5925aa,
+    0x8b624e7b, 0xca25e68c, 0x099a4487, 0x10996da8, 0x7c2c770e, 0x7a15ad64, 0x9bfe61bf, 0x278c410b,
+    0xc99a57f8, 0xf2a7e1ac, 0xee481ced, 0x71a31a15, 0x4c82a639, 0x035eac86, 0x5425db19, 0x3bf153e8,
+    0xe01be563, 0xefb7d5ea, 0xf0bfb0ac, 0xac9eee48, 0x7d16f234, 0x2276b47d, 0x80d71de0, 0x3220f61e,
+    0xa92bc1af, 0x973ea12b, 0x11a548ea, 0x4791902b, 0xfd3304e6, 0x08814e32, 0x0d4b79f2, 0x9421e29a,
+    0x74742578, 0x85cd62d1, 0x3383873d, 0x66c7d1c2, 0x7f2239d5, 0x8ff44c90, 0xf4900e80, 0x1894d5bf,
+    0x8cec8f57, 0x810a9096, 0x2b751627, 0x8c37c4bb, 0xa9373c03, 0xdc749bb7, 0xbaa77690, 0x41c7f21b,
+    0x35f65ca9, 0x7eed25e7, 0x5135ce3d, 0x73116de0, 0xdd312309, 0xabb10b92, 0x637f2e36, 0x49698274,
+    0xd59c0ebf, 0xbaad42d2, 0x1f1147c8, 0xff79a4a4, 0x08eab4cb, 0x77b8ed49, 0xb9b0b41e, 0x33ac021b,
+    0x6640a875, 0x598b7468, 0xf3380029, 0x289f3214, 0xf20e00a5, 0xc184f236, 0x5e103318, 0x7b625310,
+    0x5be67a8d, 0x7d9d654d, 0x1b6c0b3c, 0xc81308cf, 0x51879307, 0xa077bf8d, 0x54ebb900, 0xdbde1aaf,
+    0x90d15fdf, 0xa8a5b7c4, 0xd8e06e17, 0xf6b37e3a, 0xe66d4a0d, 0x1456dd50, 0x094e199f, 0x48832af2,
+    0x02e16310, 0x06eb3b2a, 0xeb7edbf6, 0x1800208e, 0xf434f78a, 0x7fb2feab, 0xf749fdee, 0x0fe9e940,
+    0xdbea7a12, 0x5fecae4d, 0x00931c48, 0x007e4ab9, 0x2d2b5d96, 0xa3dc02e6, 0xe9e25086, 0x6689bf93,
+    0x9ea3e87d, 0x54f57704, 0x5c8f1005, 0x519cb5ba, 0xcdd28f18, 0x6a238cb1, 0xf51bd8c8, 0xa9cd918e,
+    0x9fbd5dd5, 0xbf694f2f, 0xeb7e301b, 0xda30008e, 0x84dd4ccb, 0x8bda0d98, 0x44a0ab46, 0x0a5b926c,
+    0x28670673, 0x19bcb3b0, 0x9bb41850, 0x1296b6d1, 0xc642f46c, 0x9beaa58b, 0x9b03fb50, 0xd65db00e,
+    0xa5738dfa, 0xe7519a2a, 0x5a264177, 0xfb2c62fc, 0xeb752087, 0x5e3902df, 0x3386aad0, 0x33bf2a33,
+    0x76c1c22a, 0x23de9a3f, 0x404f6e17, 0x8a9a056b, 0xe13824de, 0x405f23f9, 0xd92e45d4, 0x36387344,
+    0x3888611a, 0xc81ea58b, 0x3ebffc77, 0xffb687de, 0x0410597b, 0x07f80897, 0x7562a16c, 0x8ed408f3,
+    0x30b60bf8, 0x20de1672, 0xabae18cd, 0x7171b421, 0x68e33cd2, 0x83d8f46c, 0xc18c9558, 0xe74be1af,
+    0x397ffcae, 0xb2783b9e, 0x8b194982, 0xa890a9c1, 0x9af5cdc6, 0x1b0af96b, 0x20e411db, 0x09bad259,
+    0xb146c840, 0x5068cacc, 0xcaf3c28e, 0x30d68a9d, 0x0a506871, 0xe31940bf, 0xa49c6f79, 0xaee08dfb,
+    0x779bfccc, 0x66061856, 0x3b11d249, 0xdbdee525, 0x1a0b0ced, 0x229e38c5, 0x907e2147, 0xd17b0e54,
+    0x71ede137, 0x12633d7a, 0xc950d748, 0xf7b4b601, 0x20bd42dd, 0x021dfe01, 0xb4d8f041, 0xd49d012e,
+    0x0cd83635, 0x57380dea, 0x34c2b6b4, 0x09120ce0, 0x2edb4a43, 0x353da767, 0x93c8e897, 0x3e38fbd5,
+    0xf01ce7b6, 0x600ec394, 0xecee21f4, 0xd5bd914d, 0x0840bf7a, 0xc0c5c083, 0x3e63dca7, 0x292c3209,
+    0x16cd9d1b, 0xd922fdc1, 0x14b1f8f3, 0x1e2418b0, 0x9d280377, 0x3d70938a, 0x98c6be2e, 0x25788d5c,
+    0x37e7528f, 0xd19ab6b3, 0xec32614b, 0x726fd2b0, 0xb25ab818, 0xe2ae2126, 0xc7bcf3ba, 0x21c9063e,
+    0x8fa7f1cf, 0xcc7c992b, 0xbbeb16db, 0x6aedb548, 0x2f756183, 0x0ee36ec1, 0x9dc30c6f, 0xd667ae03,
+    0x09e2a8d8, 0xd834eb4f, 0xabd4fa5f, 0xf392e0e7, 0x347f2483, 0xa10c1f50, 0x0b492f72, 0xea706531,
+    0x0478663e, 0x315e43a6, 0x8050481a, 0xfa60ebc1, 0x666fa822, 0x4b38bfee, 0x6b98555c, 0x05bec148,
+    0xef25ed7d, 0xafe6b4a6, 0x4151665d, 0x10256d97, 0x9e7094fd, 0x67d17eb9, 0x0eeb67f5, 0x7bd4a149,
+    0xf52a21b7, 0xf65d1460, 0xd077c953, 0x95075142, 0xd5715166, 0x70031b02, 0x16c8998a, 0xcc8d4e79,
+    0x2c632caa, 0xeb464122, 0x5f321f9d, 0xcc1227c0, 0xd94cd78c, 0x82977e8a, 0x8cb1410b, 0x86f5c339,
+    0xb6a7b958, 0x7019fd51, 0xa83c9612, 0xd78f3856, 0x4d5468e0, 0xe828df7d, 0xf6aa4998, 0x335a1f88,
+    0x6c160e86, 0x2e341dc4, 0xb545cb45, 0xd4228b89, 0x2848c7ba, 0xf0c4b590, 0xc465861b, 0x2c7c64ec,
+    0xd0735394, 0x50e36b48, 0x83061833, 0xc063e3db, 0xc371a43c, 0xfd134dc6, 0x2545302b, 0x027837e2,
+    0x2a27cfdc, 0xe8147519, 0xcbf6c983, 0x29886b7a, 0x1fbd9c6b, 0xd99f5aba, 0xb53dd20a, 0x5adeba25,
+    0x92476df0, 0x8500fac4, 0x8c9c508f, 0x45c3c494, 0xb68bdf78, 0xeebc13b0, 0xf5029026, 0x24153365,
+    0xfe60535d, 0x98b9f8f6, 0x221bec43, 0x0b6284ee, 0xb83f61df, 0x975335f4, 0x2bb592e9, 0x9c8c1792,
+    0xf1c5575b, 0xf115505f, 0xd4bac93e, 0xcfb76ebc, 0x1513c768, 0xae1da234, 0x48184222, 0x6be78a38,
+    0xc6287f31, 0xf5b060d6, 0x6df58431, 0x6b5d635d, 0x0e157808, 0x08acb4ad, 0x3c51ad75, 0xd1ca649e,
+    0x157f8755, 0xd37d2076, 0xdd088be9, 0x98ce35c4, 0x5a82e35a, 0x85c66f06, 0x9e3a42fc, 0x22ee97bb,
+    0x2892eb77, 0xe7f690f5, 0x38099bc6, 0x95826ce8, 0xd7f4955e, 0xc027de57, 0x58308aef, 0x7f8cc290,
+    0x8d29eb40, 0xd3f7eaa2, 0xea05bda3, 0x120d41fc, 0x1c55be94, 0x208ba4ba, 0x8ea5cd42, 0x3b6228c6,
+    0xe2407e41, 0xc6256080, 0x59ea4b6d, 0x6957f9d3, 0x05c83ddf, 0xcf75343a, 0x34df254f, 0xfd520dcc,
+    0xb19ad5c1, 0xf84705a3, 0xcfd1154c, 0x60181c83, 0x97e2494d, 0x64c03dcb, 0xd904e394, 0x5391945b,
+    0x2f5eaff1, 0xa08c8856, 0xb13af502, 0x0baa3516, 0x2cacca73, 0x08d716b6, 0xa24f874d, 0xd86b1c6d,
+    0xaf4dc053, 0x83e30e22, 0x09ee4e0f, 0x1c4a7692, 0xe17b1ed9, 0x56e94b26, 0x8ab56dc1, 0xaeaddfaf,
+    0x29302e54, 0x5709b1a1, 0x5f2fd1b4, 0x0b386de4, 0x909ca09e, 0x16270a9a, 0x17d604c8, 0xfa7e3295,
+    0x863e10b0, 0x888ac747, 0x39ef3eea, 0xd7d305a8, 0x328933b0, 0xb52288ad, 0xc7c45bcf, 0x657e4e0a,
+    0x155e75e2, 0xedfc9d64, 0x583fbe97, 0x14b55f18, 0x2e00fd13, 0xf78a2fa4, 0x7435ceff, 0x16c29b86,
+    0xfe708771, 0x97ca917e, 0xd89c2f6c, 0x6efcf929, 0xacab3c79, 0x6aaef47c, 0x865d0e3e, 0x9bbb18dc,
+    0x44111c2a, 0x021c7735, 0x5a976120, 0x07fdf2bd, 0x7acf4156, 0xc7268288, 0x267e5aa5, 0xbe8415d9,
+    0xc9ff5c0a, 0x5530fb40, 0x53f7d17a, 0xa8716acb, 0xb2274974, 0x01828b3d, 0xbe1a4117, 0x408a324f,
+    0xd5461bf6, 0x26052b2e, 0xb5797d01, 0x78947b34, 0x8cd88e34, 0x435814c8, 0xc7f2126d, 0xf8a3208f,
+    0x41068bc7, 0x2efa7393, 0x46fbeb53, 0xf9004d2e, 0xc6eb86b2, 0xd5f34ce7, 0xd016befd, 0x46ec8c74,
+    0x4cffdba7, 0xd149b5ac, 0x20f0fc3f, 0xeadb12fc, 0xcd991e7d, 0xb1201c5a, 0x45ef9839, 0xadd94c4f,
+    0xf979b099, 0x81329806, 0x242754dc, 0x5a523231, 0xf0a8001f, 0x762339f7, 0x0027e653, 0x0e69b9b0,
+    0x55bca7d5, 0x3da75741, 0x97e4872e, 0xc9080732, 0x348f090c, 0xd8f40c92, 0x91e30b88, 0x6dc6234e,
+    0x58779c67, 0xeac04954, 0x62056084, 0xb762d486, 0x9613ed68, 0xc36cff5b, 0x40574ac2, 0xa2246350,
+    0xbe209861, 0xe66ccf8a, 0xc6ffbbeb, 0x395410ce, 0x6f375895, 0x1ea24c03, 0xa165c848, 0x09a4a440,
+    0xde7ffa8d, 0x2cad6ccc, 0x78a39538, 0xe6d4ac15, 0xb7cf74de, 0x44a4d52f, 0x259c1280, 0x043e483f,
+    0x5902c831, 0xd472c874, 0x3666e4bc, 0x47a183db, 0x40009084, 0x204ca5b4, 0x75f5969d, 0x5e9b3978,
+    0x0771a04d, 0x5c6fb03b, 0x95942e59, 0x95253df0, 0x766cfd71, 0x74f6cec9, 0x607e2f92, 0x2ecd02ad,
+    0xc05ce368, 0x57159775, 0x3b03aeae, 0x74577c52, 0x45ed23fe, 0x322d8cca, 0x84e45e7a, 0xfc84a0c2,
+    0x6c7b80e9, 0x41763e47, 0x1ec1e3d3, 0x48320062, 0x7fced60d, 0x34e75ee7, 0x6bd813ce, 0x6d15eb20,
+    0x8f0082ca, 0xad6a0118, 0x8ed4109a, 0x04bd68a5, 0xbcc04007, 0xb8136c8d, 0x61a88029, 0x56ff34d6,
+    0xa5fa190f, 0x57c56ca7, 0xe5d5d497, 0xea9f5298, 0x947a31fe, 0x3e393af6, 0xcb54e62b, 0x3c36a18e,
+    0xbdf4cd2f, 0xa46a1e21, 0x119a0dc1, 0x4322610e, 0xd60dd576, 0xa23f0d73, 0x67519ef4, 0x062882ad,
+    0x376190cd, 0x5731d553, 0xbc88e645, 0xe78220ee, 0x513610ad, 0x63174f3d, 0xc48cd151, 0xaa1c1642,
+    0x325018ed, 0x1cefb907, 0x87b5d959, 0x90026616, 0x0d157e9a, 0x9f2d290e, 0xee845bde, 0xbc7c57d9,
+    0x620b9e2d, 0x13544a94, 0x3970e6cb, 0x2b35c7b3, 0xad382676, 0x44cad777, 0x3a3cf8a1, 0xe0c7053c,
+    0xa52cad83, 0xda00ce77, 0x0b1ec407, 0x3e9148a7, 0x58b27994, 0x776a3a36, 0xd8449d5e, 0x6669249b,
+    0x7c760e00, 0xf2079997, 0xe80b4747, 0xb33ae068, 0xc942dd97, 0x972799a1, 0xfd36fd96, 0xf43700d2,
+    0xe3eeb5be, 0xbbf0c8c4, 0x67c8e42b, 0xfc4193e9, 0x4c65f1c4, 0x050f6dc0, 0x0c8c7cd7, 0x4c36a6e3,
+    0x1e520ea1, 0x44f2aa44, 0x0c726893, 0xca35cf00, 0x8dfafdf8, 0x9b9542da, 0xe5ab8c51, 0x53f1f031,
+    0x7ca4c195, 0x88dc9592, 0xa3f54521, 0x792bec5b, 0xb4796da7, 0x333a02d7, 0xb87e4795, 0xa30feb19,
+    0x2da15d92, 0x1b8de810, 0xc6b65a6f, 0x4b7a88f2, 0xf63945a3, 0xfd83a410, 0x54c4d299, 0x502b28d7,
+    0x80bd9047, 0xb8417417, 0xb6513724, 0xc144985e, 0x46146545, 0x4aa71659, 0xbe9e1ac5, 0x71eec72f,
+    0xd8f21c6f, 0x9ba1020a, 0x665422ac, 0xae7929f8, 0x8a0c2001, 0x40eb5c40, 0xd0ce5aa8, 0x7986297a,
+    0x18bb527d, 0x139e668e, 0xfb48c7ef, 0x337c02fd, 0xcbeee948, 0x2e8f835c, 0x4d97ef40, 0x6b7f9760,
+    0x04065780, 0xcdcfdb81, 0x2db8ef6a, 0x990957f1, 0x449ca67f, 0x5c8b41f5, 0x52748ec7, 0xec667cf1,
+    0x320b613d, 0x4e858637, 0xf4aa2966, 0x67b212f8, 0xfe9d2f73, 0xb6dc7490, 0xdc6087e0, 0x3826d257,
+    0x834c2cea, 0x2e7155ed, 0x1984f3de, 0x77df1ef4, 0x28f98dac, 0xae1623af, 0x186843c6, 0x24f2eff5,
+    0x66130c93, 0xe10ffabb, 0x659e2310, 0xea57792f, 0x22eb5358, 0x59cd74be, 0x0bc9fc1f, 0x6e699640,
+    0x28d1480b, 0x11122e84, 0xf2da3d46, 0xefe585e7, 0x29e89fe7, 0xa7ca6b6f, 0x1b7c3bc2, 0x34aca341,
+    0x151048fe, 0x593c29a8, 0x765e979c, 0x55ea6e48, 0xf05efda5, 0xb76d2371, 0xd27b6f02, 0xf79513ef,
+    0x21d57e50, 0xbd17b4cb, 0x04eb9676, 0xb4902ef5, 0x122982bb, 0x383bb73d, 0x11e62aa0, 0x90e7d525,
+    0x4db86d78, 0x735f69f9, 0xe1d84b32, 0x589eb50a, 0x5bf36663, 0x4d4c6276, 0x60b410e6, 0x6bd29a5c,
+    0xe72a3cb4, 0xce4d513b, 0xdcc18c4b, 0x854e8829, 0x8d0d7f0c, 0x23cb11af, 0xb3528a8c, 0x3e74a0c5,
+    0x581e1386, 0x4e89687f, 0xe5993669, 0x3590319b, 0x80b76102, 0x67094020, 0x18907323, 0xb19a7522,
+    0x3e43544c, 0x60a00734, 0xfab12eb3, 0x8586519d, 0xcdb8e4f1, 0x2f67314d, 0x2eb7a163, 0xdbda28f0,
+    0x95334e1e, 0xd8f0a264, 0x9be24f5b, 0xd573d0b2, 0x0e09b0d6, 0x81d104d8, 0x6ca277c8, 0x89052291,
+    0xa07d9a74, 0x239d0ffd, 0x1bf9fccf, 0xff579b8c, 0xb0ae8d4a, 0x22c215dd, 0x3b5942ed, 0x7250d2c9,
+    0x313f7f09, 0x79a17069, 0xa25f3ef4, 0x86d87c2d, 0x163797a5, 0x7c7ff4bc, 0x5ffdc59a, 0x5a9b5a74,
+    0x2830916d, 0x0d123c7d, 0x71c98553, 0x42420dc5, 0xf037c888, 0x2d151d4f, 0x59ffeeb8, 0x94c99fd6,
+    0x26beeb01, 0x0fd9d66a, 0xa4b2e065, 0x0d7daf3e, 0x4763f0e9, 0x7b1ecccb, 0xcb8cd772, 0x230d139f,
+    0x33531eab, 0x4e398db5, 0xaa425278, 0xbb4fef13, 0x04373554, 0x851f0f49, 0xd23f3afd, 0x40f299ce,
+    0x081f774b, 0xc8d3c4e4, 0x62ad460c, 0x92dd8b15, 0x5ffe88ed, 0x48c0de12, 0x4de7b26b, 0xe1d489f1,
+    0x7f7130d4, 0xb39c91ba, 0xee848b22, 0x95085f9d, 0x06a7b762, 0xd70e7d34, 0xaa32e94d, 0x00579e96,
+    0x11f98d03, 0x9c8d3a06, 0xf06a5c58, 0x9d589ca9, 0xc91d19c9, 0xd7ab72f5, 0xc07738c2, 0xc353f4a8,
+    0xa85ea294, 0xae0858f0, 0xb735b499, 0x4bf8598c, 0x63514174, 0xdf2d6f3d, 0xb9c2df15, 0x3b796f70,
+    0x2f473355, 0x52b5e5e2, 0x41129047, 0xa9aa4797, 0x5188ba8a, 0xc8d21feb, 0x333767c2, 0x4c71d153,
+    0x25778ae1, 0x43e143e1, 0x2dc2249e, 0x20005a1a, 0xe9c2385b, 0xc5ce12d4, 0xb4a92cbf, 0xb2f01ff8,
+    0x6141baf8, 0x1096a35c, 0x935316b5, 0x4451d75c, 0xbff75e28, 0x72319afc, 0xf5548514, 0x4a1b333d,
+    0x62a24b93, 0x6811cebc, 0xd54e03f7, 0xb14925b6, 0xf1eaf861, 0x0775c5f2, 0x1717fdb0, 0x2392198d,
+    0x390e6003, 0x713d5f32, 0xcd42f576, 0xc4d0170c, 0x836190a1, 0xb31a4afa, 0x271b9597, 0xef125f2e,
+    0x5c2aa301, 0xf7c490c5, 0x5066843f, 0x2b45fb24, 0xb3de80a0, 0xb3a76cab, 0xca054ba8, 0xda647f23,
+    0xd4017f61, 0x00ec9ec2, 0x4bfdd3b3, 0x3e52c0d0, 0x1a6937f5, 0x95ac9429, 0x22e241cf, 0xde1e8dff,
+    0xff6c9751, 0x2851ca4e, 0x16a54a15, 0x817c8bd3, 0x9b204195, 0xb3a49633, 0x59aae42a, 0xb1236df8,
+    0xa2c78cbf, 0x87ccf8be, 0x51d1367f, 0xf12ad1fd, 0x947025d5, 0xe2ffcddd, 0x2c79619b, 0x7e86abe6,
+    0xff2a29c5, 0x3e6b2a5a, 0x152c8136, 0xba1ebc9c, 0x428a6a0e, 0x811e4ea7, 0x864a11e9, 0x63b6f9c0,
+    0xd22e0bbe, 0x312c074b, 0x2a918f66, 0x49428908, 0x5382ddf3, 0x2109b769, 0x5eb2a96f, 0x76d198d5,
+    0x20e5bca8, 0x1988e5c1, 0x24ad307f, 0x35115bd1, 0x3a007f54, 0x84850922, 0xe6c27598, 0x14efed08,
+    0x10ff4a28, 0x670417b4, 0xf2783f3e, 0x12744036, 0x5eaa545e, 0xec06624d, 0x15003150, 0xd3ee5a51,
+    0xb233430f, 0xb8cec777, 0x6617f5e3, 0x5bdb56ed, 0x19da3e40, 0x60238f26, 0x8efa09cf, 0x12aeb234,
+    0x42ea4f75, 0xa93fb858, 0x9870a4e8, 0x0a1d374f, 0x740753ea, 0x6dd52171, 0x2c063a3d, 0x69e279ae,
+    0xcbde2889, 0xe4d33770, 0x0ebf638b, 0x6bcd9724, 0xbb7c6c5b, 0x2dee54c4, 0x90781b59, 0xec6bae98,
+    0xb7594285, 0xeb9f5b21, 0xaa62795f, 0xe73716db, 0x8665d9df, 0x805739e5, 0x8f2d25d3, 0x835e1809,
+    0x54e6269a, 0xd47e4eea, 0xcfb686a3, 0x2f88ab8f, 0x6e6e3ad6, 0x74e58a1e, 0x30706437, 0xaf644da4,
+    0x15ab4e78, 0xf68a2dbb, 0x22a33219, 0x93e9558b, 0x8b19f3c6, 0xd07246f8, 0xbfc90dac, 0x6eb19c40,
+    0xbec4afae, 0xc78c539d, 0x140ffcbe, 0x46671024, 0x104fdbb5, 0xcfb8065f, 0x8514047a, 0x3d922d65,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000038685626227668133590597632 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e2, 0xbf924afc,
+    0x00000000,
+    0xd72b02af, 0x23f169f0, 0x06edb665, 0x0fc15c61, 0x1810b16a, 0x905e89d7, 0xfc08b324, 0x41f731ab,
+    0xfaa33d2f, 0x5ee54f7f, 0xf4ec7e9b, 0xb855dc00, 0xc34862a4, 0x52ccee91, 0x5a8c3dba, 0xf887a1d6,
+    0x42a873c1, 0x78cd126f, 0x6ac1cdff, 0x12d0ddbd, 0x341e67d5, 0x8b28179a, 0x206c356a, 0x36a9bc96,
+    0x7334e5cb, 0x1963dc21, 0x784430d0, 0x6f93aa4e, 0x1daa0469, 0x33b11fb1, 0x88df8397, 0x0bd18c1e,
+    0x469ba615, 0x3af2a5a9, 0x22626d4e, 0xd51c9600, 0xbf6f1371, 0x7a81d0b2, 0x276d2f3e, 0x56d1af17,
+    0xf7f5b5e0, 0x3af533ad, 0x9d573720, 0x45ec2cc0, 0x360046ae, 0xc937ec1a, 0xf2069ada, 0x158e0536,
+    0xdeac2c34, 0x0a521b21, 0x92d41f00, 0xa7d3623d, 0xae830cce, 0xb10e3326, 0x06c6869a, 0x63731dd5,
+    0x6686449e, 0x93e1ea73, 0x8477b76e, 0xfad84353, 0x5fdb198c, 0x601b95d4, 0x823cedaa, 0xb0e1d401,
+    0xa695ff1d, 0xe0da8334, 0x73859801, 0x13628961, 0x1868e342, 0x2170477c, 0xf374c5f8, 0x8acedbd6,
+    0xf80601cb, 0x9c2f4ded, 0x405885d4, 0x8a9b8690, 0x8c4f8725, 0x97be5c51, 0x29e88e27, 0x61a23588,
+    0xee074228, 0x91406285, 0xdcd75846, 0xd566d2d4, 0x8cf58627, 0x4421fe91, 0x24552418, 0xf49922f4,
+    0xd9cf08bc, 0xed74bcdc, 0xa85cb2ff, 0xb19d1b8e, 0x7ef9f29a, 0xaa5db2e0, 0x642c70a6, 0x47bcb5b8,
+    0x81ea5971, 0x38029f0f, 0x8f2781f9, 0xb336f41c, 0x8d316abe, 0x4fa47cd9, 0x05fa4de5, 0x91b10027,
+    0x711cfa62, 0x0e7b40f3, 0x3dd69b8b, 0x0a4772ed, 0xb1895509, 0xb1fad32e, 0x77ccd585, 0x9806f033,
+    0x19993532, 0xd7091b50, 0x1a772a28, 0x70477fb0, 0x4a6de760, 0x55e59553, 0xbe76c1d9, 0x7acfe7ff,
+    0x4788f5b9, 0x48063a77, 0x9af0ae35, 0x907ed91d, 0x5e62cf36, 0xe82f8695, 0xabf0ec78, 0x6b8609d5,
+    0x4a5dedf6, 0xe36987b9, 0x7016dd9e, 0xfaa80418, 0x0899121c, 0x111a1d15, 0x4e2c24da, 0x8d483b83,
+    0x35b24b61, 0x850205a0, 0x4b9ce3e8, 0xf1c21699, 0xbed712aa, 0x9da4e5f5, 0x50428916, 0xb1956ce8,
+    0xb5e0c27b, 0x812e9b04, 0x2a0f40d9, 0x0e6df1ad, 0x59293dc7, 0x9334a901, 0x151f7359, 0x06f4329d,
+    0x5258f65c, 0xf49dd0ef, 0xf40c6e73, 0xea14618b, 0xae0492c1, 0x2182e6dc, 0x41582d91, 0xfbe851ed,
+    0xad345255, 0x24c28221, 0x1045d247, 0xae7c374d, 0xe0a5cdab, 0x37887df0, 0xa35e7f2e, 0x417df50e,
+    0x3eba5924, 0x3b1dc272, 0x8ab88fc8, 0x82bdf772, 0xe09288f5, 0xc8f52633, 0x96732b9d, 0x2bd4af27,
+    0x9c33a434, 0x41bb4154, 0xcd598005, 0xa0df1678, 0x6ed93b53, 0xb40cec0f, 0x4dd128fe, 0x91d3872a,
+    0x849ce772, 0x5b1a834b, 0x95199049, 0x7a24fa56, 0x99e65e4b, 0xa5a3ef1a, 0xfafa62f6, 0x4387692a,
+    0x2f1921c4, 0xafcd9052, 0xd263ea03, 0x4f264bf4, 0x6b8c1da5, 0x04ba3224, 0x7d4f3324, 0xfffea9da,
+    0x7be4f776, 0x13a11e33, 0x94d92c52, 0x17b3945d, 0x8778af54, 0xe791eb38, 0xd7dc1bc2, 0x2d70d051,
+    0x58fe0b14, 0x7e8e235c, 0x20932ecc, 0xb8df1160, 0xe49bafdc, 0xabe56cac, 0x372ee4d9, 0x32bb10ca,
+    0xa8954a7c, 0x816dcd58, 0xd4d1d0d8, 0x639247af, 0x9e105009, 0x9d526455, 0x925289a8, 0x7861597b,
+    0xbdbe4758, 0x101ad8dd, 0x27055d9b, 0x0bd4cdb7, 0x1b398fdb, 0xf6b65949, 0xe0f61d2a, 0x97bc2f3b,
+    0x0ab15d77, 0x468c708c, 0x9817449e, 0xcba89d3c, 0x68be4adc, 0x9a201df2, 0xbe3e4f1f, 0xe688660c,
+    0xc57b7c5f, 0xe234e238, 0xbf929e83, 0xbc7487a1, 0x19f46697, 0xabb51651, 0xfd2e2b13, 0xac99a1df,
+    0x35b0fb5d, 0xcfeabc64, 0xf491dc53, 0x66385c7d, 0x9e3c5108, 0xb2c7f4f0, 0x036a6ec6, 0x6afd0076,
+    0xf63fd396, 0x3f315469, 0xd1629abd, 0x4bb85c1a, 0x3028c792, 0x28a8d9dc, 0x9cec2b8f, 0x492154d0,
+    0xf94f10bb, 0xe4d3eb23, 0x42a8b985, 0xfdf84d23, 0x1edd9437, 0xa42fd321, 0xc081c7a3, 0x7cf66d8f,
+    0x5ebf9ca3, 0x4c38dc32, 0xc528f3a9, 0x845f7940, 0x4d3a7db9, 0x40b08fc6, 0xe58fd609, 0x5f6083c1,
+    0x0daaab01, 0x85efca54, 0x9bc212e1, 0x2a0284fd, 0x9c59d840, 0x6b634a0b, 0x641e8332, 0xc38519b9,
+    0x68daf1a4, 0x61c6d1b1, 0x003be595, 0x306c1c5a, 0x8ff6ecae, 0xf3d4bc04, 0x1ad7ad6a, 0x011bab8c,
+    0xacb01000, 0xfcbf3f29, 0x1e8a738b, 0xe5550d3e, 0x808cbb47, 0xb3b086a8, 0xd26b3fd8, 0x731832d3,
+    0xc319ce6a, 0x34a2106b, 0xdd0c20db, 0x92b7b042, 0x64f96dbf, 0x1decdacf, 0xde22fbc3, 0x457cdba3,
+    0xeac27b84, 0x5dc517b7, 0xbe013972, 0xbc0cbc0a, 0xa34a72d9, 0x8d31038e, 0x0dc16338, 0x4e4614f7,
+    0xc1942216, 0x3ffe8531, 0x1474f9b2, 0xaeae049f, 0xbc6492e7, 0xfa745972, 0x183bf286, 0x72431c0e,
+    0x607edc64, 0x787428a8, 0x988b7364, 0xd30baeed, 0xe4b1a265, 0x3f4a2f7e, 0x7d1b6f1f, 0xb908c58a,
+    0x34e8cdfb, 0x54f25313, 0xca0029ea, 0x304fafa5, 0x2368596c, 0x487defc7, 0x937a598c, 0xf0fe3a23,
+    0x769a58ad, 0xc8934a36, 0xc998b00c, 0x7724fe72, 0x0f699a43, 0xd79ef09c, 0xa4cab55c, 0x08d3267a,
+    0x5781160c, 0xb6449f95, 0x64bb466e, 0x8bf52397, 0x3b4ab257, 0x7868dc31, 0xa97f3ec3, 0x9add5d7d,
+    0x0795e435, 0x5d583e50, 0xe95c8c4a, 0x40d66d91, 0xdd7e2d92, 0x297b020e, 0x7bf225a8, 0xc41e825b,
+    0x3622469f, 0x037bfbeb, 0x8f8c0bcc, 0xd429125f, 0xd727838f, 0xe39403f0, 0x323f2a3d, 0xa361f205,
+    0xeae3d040, 0x42a3e092, 0x2422a3ef, 0x134374f3, 0x20ee451a, 0x9e1efd80, 0xde97a37f, 0x1ad28499,
+    0x5011be0f, 0xebe62514, 0x10598aea, 0xacaa8233, 0xc007ce2c, 0xc8256ff0, 0xebfc1eb0, 0x8c47fce1,
+    0xdbdcf420, 0x02e2c124, 0xd88bdc31, 0x6b4a9d24, 0x27e9ed8e, 0x96e3072a, 0x5112bb27, 0x95f47c12,
+    0x9e4a8ad4, 0x7382e520, 0x1b935da4, 0x5b560791, 0x996de823, 0xd075ff27, 0x329ccac9, 0xb06f9908,
+    0x7ad73ae5, 0x022b92c0, 0x0aef36ea, 0xe6a268a6, 0xa2b779e6, 0xbf5ef193, 0x4d0b4366, 0x87376149,
+    0xf3769d55, 0x044885bb, 0x8b7954a2, 0x65792acc, 0xbf96d92f, 0x803a118a, 0x301b6e01, 0x22d19ac4,
+    0x8e8f14d6, 0xa6adc412, 0x5efe1710, 0xf47af60d, 0x1ce157c2, 0x85a79eea, 0x1c9f2ed5, 0x1aedd55b,
+    0x72603371, 0x06d6aba8, 0x415a961a, 0x33160cff, 0x3e7f9572, 0x165b6b4f, 0x2bd61d2e, 0x84a7444b,
+    0xcc18b8c8, 0x8c2d02f2, 0x933bb1d9, 0xc6b6d056, 0x2ef67471, 0xd420b93b, 0x5579c827, 0xa5545a8b,
+    0xb77ab339, 0x5f8ec405, 0x7f3ccfa5, 0x97a721e7, 0x69844b47, 0xf2543da0, 0xd2616dc7, 0xd9728b8d,
+    0x696b663a, 0xa036a8e4, 0x1000f739, 0x8660cf54, 0xbf221983, 0xc4f7fd7a, 0x9165ab98, 0x2d034713,
+    0x6c43423f, 0xb07e3b89, 0x203f0d83, 0x9b65873c, 0xd5b67901, 0xa4601b22, 0xaeeb3503, 0x798ef53b,
+    0x793a60e0, 0xcee00863, 0x5f50d7f5, 0x698f3213, 0x409dc566, 0x8c7b0086, 0xb6908133, 0xed48e654,
+    0xefcf88d0, 0x8ab374a6, 0x0b1aeb83, 0x5af53686, 0x415ce22c, 0xc2b8301e, 0x8e674942, 0x3f0c7fdf,
+    0xc754f27d, 0x6f527e24, 0x110f1376, 0x459241eb, 0xe7dbacf8, 0x03c4c898, 0xd4c3a49c, 0xb8603d0e,
+    0xdbdaed48, 0x0a659e28, 0xa6fdb6fc, 0xbc258d61, 0x19e98b48, 0x88afc31e, 0x1a1b1e2d, 0xdd26e38a,
+    0x519192ee, 0xf85ca335, 0x03f0419f, 0x9c5305f3, 0x4ace1d29, 0x57682e12, 0xabf1eb52, 0x0f369177,
+    0x64de6f3e, 0xce0abb42, 0x4046e36a, 0x2a39f494, 0x51f67791, 0x212eae3d, 0x39d7199c, 0xe902debf,
+    0xd904631f, 0xb94afbaf, 0xdb2f734b, 0xa0b446cc, 0xe26f7381, 0x0a29acff, 0x7ca772ee, 0x78134c5c,
+    0xdcff0573, 0xf2ed61ef, 0xa47f9b0f, 0x9c11f860, 0xa008a438, 0xe66b439f, 0xea1be165, 0x42c72add,
+    0x27369502, 0x2ba56ac5, 0x67f4f8ae, 0xfdbf87d1, 0x025fddf1, 0x184ded53, 0x094dda0d, 0xea98073f,
+    0x7db7b5ec, 0x979e3f26, 0x508df18c, 0x5f908e98, 0xd2b3975f, 0x04046cc9, 0xa4f2faa8, 0xbbd67e8b,
+    0x67541ed7, 0x856e11ef, 0x01099d2a, 0xa8535757, 0x96303762, 0xd10b9f99, 0x7a6634a1, 0x13582afd,
+    0xbbcc7650, 0x62bd9ea4, 0xb1f1ab9c, 0xc5e94699, 0x4d976573, 0xecfc85b1, 0x6e85e1bd, 0xf99104b2,
+    0x7f1830e0, 0x9b7807bf, 0x6aee696c, 0xb6f8bf57, 0xe71fbcdc, 0xc71a0657, 0x74757129, 0x7bbd29e7,
+    0x26375db8, 0x07184949, 0x32f505a3, 0x985af0fb, 0x4b3b5985, 0x900e0e77, 0xb7ce8ad2, 0xa8a61e95,
+    0xca0244c7, 0x5ff13ff5, 0x6fce2663, 0xf817b7e5, 0x923b400e, 0xea1d9403, 0xaef2f10c, 0x47c6cb3e,
+    0xfb9bcca4, 0xef1f4de7, 0x2fec2c79, 0xb33b246c, 0xa17291d8, 0x5888ec87, 0x435292e8, 0x2a355853,
+    0xb06882ba, 0x11d5cbc2, 0x6626773e, 0xbb322700, 0x8791d697, 0xac58e92a, 0x5eb1c327, 0x09f566f0,
+    0x65f360a7, 0xc1398223, 0x7cdb0237, 0xd0eb382e, 0xdcc0fc93, 0x868ee637, 0x70713b09, 0x4104dd3b,
+    0xe3e366ec, 0x6efe3c88, 0x9eaf7150, 0x35eede6a, 0x3ee0e159, 0x8003c8c7, 0xadbef87e, 0x9ff7d51c,
+    0x30d505b8, 0x753e5ee4, 0xe9cdada6, 0xf7f8c1c4, 0xadaf45fd, 0x3fdec1f6, 0x7c57495c, 0xa7963a0e,
+    0xf1de2cce, 0xe841fb71, 0x26fe832a, 0xe4e84ffa, 0x41347de6, 0x72e81975, 0xdab493b0, 0x938af0ba,
+    0xd55f0896, 0x6fd1c57d, 0x739500ad, 0x1646eea4, 0x1b77e5cf, 0x81ba5e53, 0x681f09ef, 0xb777a0c5,
+    0xa6d79c1b, 0xea2541d8, 0x07fd554f, 0xe92a97a2, 0x3fb8e0ce, 0x98a5b120, 0x16091edc, 0x729825b2,
+    0x0b3a7b05, 0x6787c0af, 0xefe3169e, 0xe9b7b905, 0x0c56e23e, 0xc928fe98, 0xdb2dc206, 0xfe353de3,
+    0x7c15c596, 0xe2fe23d9, 0xb547a5aa, 0x0cc1bcc8, 0xb781468b, 0x2a2810d6, 0x529d9c3c, 0xcd4ec0d9,
+    0xdf92ef25, 0x3450e6d3, 0x6ee24b56, 0x0b6be6d6, 0xc38c43c2, 0x47f087c4, 0x9108b5ee, 0xfc5cd731,
+    0xc240f7ae, 0x7c9e4f84, 0x3a40f125, 0x9a1665ce, 0xf9cf7087, 0xaa11de09, 0xc00133a0, 0x793e79a6,
+    0x838dabd2, 0x282b8fad, 0x35ed16b0, 0x8911653e, 0xd14ddce4, 0xb3ad5ee0, 0xd041805d, 0x11132d6b,
+    0x2315f7ff, 0xb4bb3694, 0xeb094047, 0x5dfe6255, 0x40678555, 0x4144edfd, 0xad7d5c58, 0xf21e9276,
+    0x2bfe45ae, 0x2c707c87, 0xb8597146, 0xd2669c1c, 0xdc4f7e4a, 0xfc3f000d, 0x0439975a, 0xd875a04e,
+    0x732af638, 0xecedf255, 0x75605fa8, 0xb8cd4dcc, 0x4103fc30, 0x3398ffa9, 0x1a5fba88, 0x0a3e0139,
+    0x81c811e5, 0x0e415098, 0x1ac451d8, 0x70b836b8, 0xdc2ba725, 0xc2b6d046, 0x65cb3f23, 0xff8c2996,
+    0xc0533b8e, 0x1442b2ec, 0x8ee18661, 0x0d4d26fb, 0x8c1b5820, 0xc45d82d9, 0xe3dc22d6, 0x75c12c56,
+    0xd5595db4, 0xc5d5a079, 0x4b5c1536, 0xaa26e64c, 0xa6ec0b5b, 0x60333322, 0xda1af18f, 0xd8293858,
+    0x485cc150, 0xa0d773f3, 0x826b2a3c, 0x8780e4db, 0xd72ee444, 0x8bd0d19b, 0x7b201383, 0x833a8d78,
+    0x63855b05, 0xb379f89c, 0x63e6e6b7, 0x4119ffe7, 0xd01dbefb, 0x54e0ddeb, 0x6ae0a7c3, 0xcb937ab9,
+    0x7c032190, 0xd1a3ddd8, 0x30e93c66, 0x19308d6a, 0x5ccaa43d, 0x7b23ecdf, 0x462f65ed, 0xb10a775f,
+    0x64ea0b57, 0x5e3f8815, 0x5e813181, 0xe4ece961, 0xdc761db3, 0x703656fa, 0x98f9c40f, 0xd17b2f4d,
+    0x656013a9, 0x1ed2e0a3, 0x0187a709, 0xe12939df, 0xd85c9341, 0x6831d720, 0x9c7f9708, 0x68937d4e,
+    0x3fa64a7d, 0xbd0b12cc, 0xd91d037f, 0x01b48d8f, 0xab8b45ac, 0x6ba9dbd0, 0x5ed7de02, 0x201cd568,
+    0x21b9dfda, 0xac5c3003, 0xa46a0d42, 0xe2fd48a3, 0x2452bc63, 0x4232c8dd, 0xf43e493d, 0x73715205,
+    0x28578c1f, 0x9328a4f0, 0x8beca845, 0x3d9352c3, 0xc89ce0ab, 0x6e584022, 0x4ffe3c39, 0x521f0500,
+    0x717b6b0f, 0x5ff447cc, 0x3c6d6076, 0xb663030e, 0x595f5827, 0x9316423c, 0xbe171e2d, 0x0f53d8d7,
+    0xe8459afb, 0x7cf44323, 0x4e254ae0, 0xb2c6e02e, 0x5fd1dad9, 0x495df37e, 0x6733b7b9, 0x92f6a093,
+    0x19bcd4ec, 0x356824b1, 0x6e17fc6b, 0x59d3ba75, 0x0fe5df67, 0xae4b5ac6, 0xff215cf5, 0x3fe89cb0,
+    0x70470aef, 0xb058aa59, 0x7452957e, 0xb0844df2, 0x8384141d, 0xa10f06ed, 0xbbedb37f, 0x3bd9f2db,
+    0x58819253, 0xd8c874e2, 0x75bbc60e, 0x138ff6d1, 0x6f80725f, 0x638a8114, 0x4c76d8db, 0x0e33c3bf,
+    0x02bfbb2a, 0x48c3b139, 0x27d1c60b, 0xb222ca17, 0x4f1ed029, 0xfd982bea, 0x9c7fb00c, 0x058134a3,
+    0xf2a83c6b, 0x4db15160, 0xd87bd07e, 0x16f657e3, 0x51ca32a2, 0xa822b237, 0x3e27b93d, 0x216da79d,
+    0x94d6f0ef, 0x1347c7bd, 0x4f1a658c, 0x441469ba, 0x8759837d, 0x671d88fc, 0xee6086e4, 0xa87f74b8,
+    0x42c95317, 0x48542f85, 0x6ec1620c, 0x6833aa49, 0x91bca962, 0x23ecf22e, 0x8acefe94, 0x79a81156,
+    0xd794f5d7, 0x9b459355, 0x9ee0b564, 0x5624a31b, 0x4b05f3a0, 0xe7aa7ff4, 0x50ac3cea, 0xdceb3053,
+    0x065161d3, 0xa48f7d7c, 0x8e820356, 0x6150cb46, 0x635963cd, 0xb52863c0, 0x0025340e, 0x60c5471e,
+    0xfbf834aa, 0x368d60fa, 0x0bc9974c, 0x6da97786, 0x6d8dd28a, 0xd5848cf1, 0xc7a0fc7e, 0xa9ef50a5,
+    0x7f68f8de, 0x22ae50eb, 0xffcd3c06, 0x8e7daaf7, 0xe612e649, 0x883efcb0, 0x411189c6, 0x1d837089,
+    0x400533d7, 0x1346cf8f, 0xeafa8f21, 0x28eea527, 0x4943a795, 0xd46d3fb4, 0xf16e16f4, 0xb2bd9bb0,
+    0x6b468efc, 0x49c9b366, 0x7b859769, 0x58a5b3f7, 0xabba4cdd, 0x828ddef6, 0xf844faa1, 0x086c5196,
+    0x6883661e, 0x729cb834, 0x106a8996, 0xc0bee276, 0x757e7112, 0x3a200e7b, 0xb2f5d2b1, 0x9110de87,
+    0x461018ae, 0x7c904a7b, 0x3c7ab1c8, 0x23463b5e, 0xda54ec2e, 0xc7da5470, 0xb1c9197d, 0xc92d5bd1,
+    0x4a8cda04, 0xea4fdca6, 0xcb99fae3, 0x83f29b7f, 0x360831f9, 0x5373b7f2, 0xe9e396d0, 0x29e042db,
+    0x63f9d67f, 0xedbe9d26, 0x7eb740fb, 0x7079b53a, 0xdbc7010b, 0xdc493090, 0x85b0a675, 0x99209699,
+    0x4efaaaf4, 0xaeb5807e, 0x7e3be2e8, 0x221bc8cb, 0x2806e76d, 0x978cf9dc, 0x5b4cce5c, 0x1ead7d8b,
+    0x8363943c, 0x299eae22, 0x2f6c68f1, 0xab19616d, 0x822ec02b, 0x462091c1, 0xc5dc0d3c, 0x04657b2e,
+    0x0328741c, 0xb0927bc4, 0x1c301aae, 0xd5d09a44, 0xe4431e9b, 0x62629e8e, 0xd8b5057b, 0xc97e25cc,
+    0xa6743834, 0x96b0eb4f, 0x013f7ced, 0x126ebf69, 0xd3203da7, 0x2f704d12, 0xf61c98af, 0x3fc682b9,
+    0x25acae17, 0xdb31fa47, 0xf5d8600f, 0x4bda6628, 0x6e153654, 0x823e38fc, 0x3faa08de, 0xb1f637e6,
+    0xe54eadc6, 0x3ed570fb, 0x98e78c31, 0x593df98e, 0x404e0caf, 0xbd57e25a, 0xdb2809bb, 0xb4f3c692,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000019342813113834066795298816 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a371, 0x5fc9257d,
+    0x00000000,
+    0xeab29c7b, 0x2a21169a, 0xab85851d, 0xfb4760d6, 0x75637b15, 0xc3e2b3ba, 0x0e8ab90b, 0xc708d238,
+    0x952bcf6b, 0x8cfa750f, 0x228cebf4, 0x42036ca4, 0x02a4caff, 0xa7f9a7c6, 0x270ed68b, 0xd24c2efd,
+    0x557db052, 0x3995bcc1, 0xd5547330, 0x31670e3b, 0xc291fc69, 0x517c05f7, 0x0837d3ba, 0xf2b4057a,
+    0xaa19be5a, 0xa87fd926, 0x2bfe24cb, 0xed47b961, 0x2fd42e06, 0xea55db95, 0x60755643, 0x257f3a3e,
+    0x6c118a4a, 0xd51394e8, 0x5867aa74, 0xceee2f31, 0xfd6d5cd8, 0x954af4f3, 0xd2c3c285, 0xa36aa547,
+    0xa80d66b3, 0x8e401f91, 0x0eefbb78, 0x4bc0ecda, 0x9bf213b6, 0xcf66f2f1, 0x5b4ded9b, 0x2a4f6bd1,
+    0x0bb526f5, 0x1f02b70a, 0xbe4134a4, 0x95a4f3ee, 0x3ecbd137, 0x1e9ef3a0, 0xbe1ae08c, 0xf8c9f875,
+    0xe1b38d6e, 0xe64cf7b2, 0xb1d3a906, 0x81a37838, 0xfb255965, 0x56ca4787, 0xdc6f8908, 0xfc942fc0,
+    0xea1b98c6, 0x7360510b, 0xcba28fd6, 0xde774dea, 0x4ef236c1, 0x46ac4089, 0xa288e36d, 0x7d282174,
+    0x41277af7, 0xb56b0d14, 0xcd151595, 0x2b071155, 0xe52055bc, 0xfe69a2a7, 0x751d6455, 0x034f1734,
+    0x678bd013, 0x41a7be44, 0x53b0f8b4, 0x4e4c6166, 0xbf2cdf47, 0x9ddf6ac9, 0xba583977, 0x357d659a,
+    0xca5e06f8, 0x576da104, 0x1459031f, 0x3174be01, 0x95b4f5e9, 0xb315b275, 0xcb6d5dd7, 0x88ecc596,
+    0x5b31b1ba, 0xefbdd0a8, 0x8aa3e1df, 0x1a26f7ac, 0x961e82d9, 0x574f1787, 0xf91ca2e0, 0xa6766533,
+    0xdf1260f6, 0x58afdc73, 0x49a40929, 0x67045169, 0x0e37bea0, 0xe6c32d84, 0x31aae551, 0x9b9fae42,
+    0x46ad33a7, 0xd9017e95, 0x74899014, 0xdb94ce8b, 0x2f6e4d97, 0xe9ca875e, 0x7cce32b5, 0xca734161,
+    0xc580d44a, 0xbeb292d0, 0x76bad3cf, 0xed378279, 0x681267ce, 0xe6985aed, 0x4d4aa41a, 0x2f3f703c,
+    0x4e309c1f, 0x1ea0661e, 0xb3a674bc, 0x2dfd0903, 0xebfd9751, 0x40b62f4c, 0x5474c912, 0x1bdfa767,
+    0x641af1f8, 0xf204c40b, 0xf7655cd7, 0x98832e7b, 0x73a88f1c, 0xf0673039, 0x7f4ca00c, 0x9d7b0a12,
+    0x98cdbe9a, 0x9d440650, 0x9732c3b8, 0x89408eef, 0x3bb4049d, 0x3bf07130, 0xd4406431, 0x6f7845ee,
+    0x7239fa6b, 0x897cec4e, 0xd545bb67, 0xd3255a90, 0x38d92ccd, 0x1aad4baf, 0xcc58afb6, 0x2111aa79,
+    0x43939119, 0x3d829b12, 0x09391b3b, 0x5f6b09e0, 0x6c983580, 0x91da1526, 0x5af69d70, 0xab5ed8a4,
+    0x158f7a99, 0x19b34784, 0x20ad6072, 0xd2727a66, 0xeb2c87de, 0x36c5818c, 0xc7b1bca1, 0xe2fe61da,
+    0xdd90c532, 0xc7bcbe10, 0xd3969390, 0xf7a3a77b, 0x33c10d0e, 0x2af0bcbb, 0xd9eb7fcb, 0xaffe6fa6,
+    0x8287cb77, 0x29afc8fe, 0x942bbe16, 0xe9d7c335, 0xbff07d3d, 0xb98ec542, 0xf5325fd8, 0xf6c5960e,
+    0xc63af9ea, 0x9dd601bc, 0x4efb221d, 0x37e2cda2, 0xb8691d96, 0x68be4a2b, 0xdf95c7e7, 0x37020197,
+    0x5f3db50e, 0x0b756b1f, 0xf6cd1328, 0xf8496575, 0x904ccfb9, 0x8919f8e4, 0x2dbe6e4a, 0x08b535cd,
+    0x9f44729e, 0x32cf98bf, 0x2d51d806, 0x4788329c, 0x5568ceae, 0x1579f586, 0x3e088a23, 0x9e057ebf,
+    0x4096d38f, 0x96f22809, 0xc58007bc, 0x74df0a37, 0xb975dfae, 0x29ffc7b6, 0x6ca883af, 0x4a145043,
+    0xe9cc59ab, 0x1e382105, 0x1394e53d, 0x295314f7, 0x7323ac4a, 0x657f9990, 0x635ab5d4, 0x489b0c81,
+    0x6a4b2289, 0xd45c774d, 0x52d4e51f, 0x1c51c1f6, 0x8d74275c, 0xc5dc9d50, 0x0c627f0f, 0x9c4c9707,
+    0x33d13c40, 0xb2664b01, 0x08b098ee, 0xa701ff65, 0xa0188258, 0x4df574c1, 0x1c7c48d1, 0x786cb94b,
+    0x69770561, 0x796c3f87, 0xdd5042f1, 0xe0d82d09, 0xfbb5c683, 0x34961b0f, 0x86743584, 0xd061eb4d,
+    0xf1ec7cca, 0x2dc12859, 0x03edf800, 0x143939c5, 0xb76e68fc, 0xe164d04c, 0xda7f40e7, 0x36ef3787,
+    0x4c3723e3, 0x162a6ef6, 0x7e9f872e, 0x0582084b, 0x52ffb164, 0xaedde546, 0x0e8d1cf2, 0xc1a60200,
+    0xb76a0402, 0xbdbf8dba, 0xdb41879f, 0xa9c6a9c2, 0x2891e71c, 0x842e12e7, 0xe5428d10, 0x0f904715,
+    0xb50c5227, 0x54fb885c, 0xac9f4719, 0x8b7d6590, 0xc2009fab, 0x5cf99ecb, 0xa048da16, 0x33911def,
+    0x6d35000f, 0x893fb9a9, 0xf973f2c1, 0x09d42254, 0x6e480f05, 0xf8fe8b62, 0x62d4531e, 0x8aad0023,
+    0xfa22c680, 0xb7d6e747, 0xe64ef0ba, 0x9ccef267, 0x0b2f22ac, 0x8195cfe2, 0x628f3caa, 0x6057970b,
+    0xa952be92, 0x1eea7806, 0x875d7132, 0x694d624a, 0x3cbe72ca, 0x067dfebf, 0x65eecbb2, 0x6e4189d9,
+    0xc5128433, 0x6043a892, 0x041e78d3, 0x248d7791, 0x7e28fc2a, 0xaecaf4b4, 0xb29e2248, 0x35ae06a5,
+    0xe48721ab, 0x179d6778, 0x92d3b108, 0x68e27820, 0x9541b84d, 0xb0553126, 0xab2fcf74, 0xf32f7745,
+    0xeb7b5e40, 0x74973f83, 0xb5b7ad94, 0x02343871, 0x42ae0b42, 0xa54051e6, 0x743d2337, 0xb8f8fe6c,
+    0x405abecf, 0xb17bd3f7, 0xfb291362, 0xa50cb6e5, 0x6f19b21d, 0x798a57b3, 0x414de8d3, 0x6d6eb1ef,
+    0xe7abdc91, 0xd5c9b6c4, 0x0b7c991a, 0x17d11506, 0xb9df48bf, 0xc926ea1a, 0xd4b3bb6b, 0xcefc3e26,
+    0x4ca481bb, 0xbc3d1089, 0xf70ca86a, 0xf060409f, 0xf9d9d178, 0x222c5d41, 0x078efb9f, 0xe41c326b,
+    0xeeccf447, 0x5179a44c, 0x90677a75, 0x731b730a, 0x613711ad, 0x823bc6f7, 0xbb17b7be, 0x3e307fb2,
+    0x2c373c75, 0x06614ba5, 0xe2cde9b2, 0x8c34cbd8, 0x9fd6c39d, 0x349c2cf7, 0x9c12ba44, 0xdff37016,
+    0x781890ee, 0xef642631, 0x807ac65b, 0x3525d63f, 0x525a3071, 0x844f504b, 0x9da499c8, 0x53844b1e,
+    0x5ce62acf, 0xfc56e0c2, 0x06cc5956, 0xa42f3539, 0xc9ba1af2, 0xecbd1c9a, 0x21ce0d70, 0xc1d356c8,
+    0x344f4d82, 0xea1c4cd6, 0x835f95f0, 0x46a20c1b, 0xadb094bb, 0x41dd3479, 0x852f969d, 0xbc47ca98,
+    0xb2b63566, 0x524c293f, 0x011001a0, 0x5499df69, 0xdf979f9f, 0x2f0062dc, 0xc3c9d45b, 0x8ca75ff5,
+    0x6414dd98, 0xdd588437, 0x613e9bad, 0x44d475f2, 0x2c855ff3, 0xee6750ec, 0x8397bf8f, 0x7aa643a5,
+    0x4529ac4a, 0xd50af6c4, 0x030f6ea0, 0x8f85d2a4, 0x413b5b8a, 0xb4336e2f, 0x4c5e9553, 0x8f1b18e9,
+    0xf10828be, 0xd349e47f, 0x7828df24, 0x40ff75ec, 0x6daa97eb, 0x00eeec20, 0x494a28b0, 0xb37be14c,
+    0x7d7b2c01, 0xb7d9893b, 0x6438edb8, 0x4a99d34c, 0x69cb34e9, 0x9e1d2ea9, 0x06f38d4b, 0x3577d8a2,
+    0xdebba3fa, 0x9c0f7153, 0xaad5dc87, 0x30334ce5, 0xe5eb7e21, 0x34cb08dd, 0x904c4740, 0xef035897,
+    0x1a8eead8, 0xfc7e19ab, 0x68bc3fa9, 0xdfb84b96, 0xb7ce15c4, 0x50c31c34, 0x37cc0e70, 0x738eee39,
+    0x8d54a8ae, 0x6705e565, 0x2b2430b1, 0x963a3f02, 0xdf3c525b, 0x76d91c72, 0x78be9136, 0xcd48a04c,
+    0x8e3fd71e, 0xcce88180, 0xcefcc4cb, 0xdc2af4ed, 0xaab44082, 0xc2477629, 0xdf4adc99, 0x7556a11f,
+    0x6152899f, 0xd1295579, 0xec8f49f5, 0xa8966ba8, 0x61d3b20f, 0xe7cc2d74, 0x97625dc8, 0x8430982b,
+    0x3cf2f171, 0xfa1e5c21, 0x65706d64, 0xb4dbf2f0, 0xee86d5bf, 0xaa1dba4e, 0xabd5b295, 0x8744e0be,
+    0x01bac562, 0x894cb349, 0x84925fd5, 0xfe19278c, 0xf30cbdf4, 0xa1336d02, 0x105f1819, 0x0b76a75d,
+    0x94969fa9, 0xf50380ee, 0x7cdf122b, 0xfd7f65d3, 0xb8eb817d, 0xdf6739a3, 0xa8618bdd, 0xd916c352,
+    0x02ebacba, 0x967a0853, 0xac0ba2fe, 0x63db9ab7, 0xd1d4822d, 0x39597872, 0x5be2853b, 0xff546c14,
+    0x0a8fc48b, 0xfd184a21, 0x02e8c9e1, 0xee80b1c9, 0x80801bd0, 0xcce7a869, 0xd823ba3f, 0x1422b71e,
+    0xca29033e, 0xe008e507, 0x88a31f4d, 0xc5672d0d, 0x3080c9fc, 0x06e81294, 0x02de299b, 0x978c2668,
+    0x065cf35d, 0x3948d99a, 0xf8dbf69a, 0x2e5d64bf, 0x96dc68aa, 0xfaabbaef, 0x25d1c773, 0x957da3c3,
+    0xae6cbabf, 0xf098bffd, 0xa0fed648, 0xfa4de309, 0xe8f05283, 0x9d1556f7, 0xc095bcc1, 0x45c2d273,
+    0xd794e862, 0x37c58513, 0xcfd32beb, 0x8f777cae, 0xf79e2126, 0x3b49abd5, 0xc54e40b9, 0x7d7c606d,
+    0xbf5843d4, 0x485b8ecf, 0xc457756d, 0x05f7eb0e, 0xc37792c8, 0xec1b4e3c, 0x2d786d9f, 0x3a65c828,
+    0xbe29befa, 0x12201f74, 0x176fd48f, 0x9716cfa1, 0xef1d4e93, 0x76c9625e, 0x2dc1bc0d, 0x72500e31,
+    0x4c9dedb4, 0x57aedcb3, 0xea8c3d4d, 0xc251207c, 0x83c2fa47, 0xf48e040c, 0xb2457a3f, 0x5e131d6e,
+    0x4035be26, 0x90528bd1, 0xc4f8c97d, 0x0044cbff, 0xd876029f, 0x7c215f7e, 0xdccb3d58, 0x079dcbe0,
+    0xdc8b3bc9, 0xf231e396, 0x4796a8fd, 0xbc9d4dd5, 0x480c2998, 0x7b38c3a4, 0xbe5647c1, 0x9ec25cfd,
+    0x30cfa65a, 0xc8210be3, 0x8242649d, 0x35748ed1, 0x13d79803, 0xdef3dfd9, 0x17be6e84, 0xe63b1aad,
+    0xdb631a82, 0x07f66607, 0x50abf8a4, 0x94f29673, 0xa9e75f0c, 0xc4f23c79, 0xd58ce4b1, 0x977d88b7,
+    0x59e2cb0e, 0x8216b808, 0x36cf9c8e, 0x39e5202b, 0x4a2657d4, 0x7e73a19f, 0x710ea087, 0x163d305d,
+    0x7717e983, 0x38b9fd52, 0x3eef3d52, 0x07ebab56, 0x2b314adf, 0x2d77948a, 0xd74f5af8, 0x06bf04a9,
+    0xe7eb346b, 0x5ffa9167, 0x33ebc125, 0xff75460f, 0x408c44c1, 0x79432a25, 0x2425308c, 0x1efea28d,
+    0xc11e4c2b, 0xfeff51fd, 0x45833543, 0xe4b6cf5b, 0xbaacdc19, 0xde4fc9c7, 0x3333ec18, 0xd76fe32a,
+    0xb5ac3c13, 0xab1d9c54, 0xa868c296, 0xed1508b8, 0xffaa9362, 0xccdaa43b, 0x4f90578c, 0x1feecca2,
+    0x8998e1be, 0xa320f1b3, 0x0fdd6441, 0x1861ba27, 0x5eb2f4a0, 0x960f4bd7, 0xb4aefec0, 0xe6e853c1,
+    0xfced1ae8, 0xb84fb660, 0x0747ac0b, 0x54144fba, 0x09755b51, 0x84dce68e, 0x27e0def4, 0x28b29f81,
+    0xd6550b43, 0xc79aa3e1, 0xb8ce4df1, 0x892b5ee3, 0xe5505798, 0x05d7aa4c, 0x18939a99, 0xe1c7130a,
+    0x11be5395, 0xb9c4076d, 0x3406d345, 0x7a064576, 0xcb85e8dc, 0x0bb12e7a, 0xbd979483, 0x0557f027,
+    0x3c6ed219, 0xdcb0e75e, 0xa9434f33, 0x916f1204, 0x7aae1ec1, 0x69582d39, 0x1ece8fe7, 0xb40feb92,
+    0x4f3e7ab2, 0x50d322ec, 0xa58cd8bc, 0x020d6ca6, 0x687d3231, 0xf46e4f37, 0xcd4104f7, 0xafbe254c,
+    0x8daa8ad2, 0x5c2e9b36, 0xfca74554, 0x472294ad, 0x5fb9f632, 0x882a94da, 0x5408ee34, 0x1913c559,
+    0x9ae9f67e, 0x4872246c, 0x629e4f02, 0x95edf14e, 0xe368bedd, 0x887b4f0f, 0xd3ff121f, 0xf2c887b7,
+    0xfd4f4083, 0xa555b53d, 0x49238450, 0x682fcb50, 0x9f749ccc, 0x01d36343, 0xe7560558, 0x9a2f3ac3,
+    0x6fd6b848, 0xb6230219, 0x0780658d, 0x4bb25cb2, 0x55a5ef81, 0x45a9220a, 0xac31aab4, 0x71ab255c,
+    0xb36188b0, 0xb450f322, 0x5faed6f5, 0xa0ed2557, 0x7d281317, 0x92f897e3, 0xc71ac7b9, 0x33ed69c1,
+    0xbbc8e66b, 0x9ef2826c, 0x9b0b1219, 0x9b566c15, 0x189da2f1, 0x6857bfce, 0x082b9be8, 0x0a18111d,
+    0xa3c5cf8b, 0x0e16e265, 0xcbfdc3e8, 0xc980dc22, 0x34410aac, 0x28871cb9, 0xf3f6f1bf, 0xf01203a1,
+    0x01b321a7, 0x8683fbe3, 0x7b41d08e, 0x4bcc4794, 0xe371751e, 0x8db22634, 0xbf090d4c, 0xbe588075,
+    0xb129bb51, 0x1b958628, 0x8c677ebc, 0x0eb553ef, 0x07c62196, 0xa34303b8, 0x916234fb, 0xb14edacb,
+    0xe91178e7, 0x26e1e4a5, 0x56bd4afa, 0x54e1892d, 0x59e52047, 0x0905b9a1, 0xaa6b013b, 0x341354b5,
+    0x67b7f6a2, 0xf9a3ccd6, 0x22e36e1f, 0xa7972a9d, 0x41cbd97c, 0x959e168f, 0xc7a790cd, 0x8d5ab357,
+    0xfbcd3773, 0xe6f7c403, 0xe9a7222a, 0x175b9c4a, 0xea877b60, 0x7610f22a, 0xc2761a9a, 0xcb27ea80,
+    0x7998e66f, 0x37d6b702, 0x440eab0e, 0x6f1fd50c, 0xc33a0de0, 0x0bba9d2b, 0x4ee79f96, 0xbc938901,
+    0x45273d5a, 0x116f1c28, 0x17d40f7a, 0x79858f5a, 0xbef8c93f, 0x2010a415, 0xfc0fb7ca, 0x828f66f2,
+    0x46c18c24, 0x4d54f25b, 0x83fad17f, 0x9e97ab47, 0x99245cba, 0x34250807, 0x31bf99ab, 0x0fb5b522,
+    0x27eab52d, 0x68706ceb, 0x9509231f, 0x0f9887f3, 0xfafbd4dc, 0xab57ed1f, 0xa5f94959, 0xa3578e62,
+    0x51d404a8, 0xf36d857f, 0x801df660, 0xb9a9953a, 0xd6712003, 0x6720071c, 0x16ffc2a1, 0x425ef2a0,
+    0xe7e995d0, 0x675f01f4, 0x854f813b, 0x6fc57739, 0xbf572228, 0xc350be0b, 0x7282486a, 0xb40c4af8,
+    0xbfbd07f8, 0x47636a64, 0xe6002858, 0x4b7195d1, 0x94a2af6a, 0x54200200, 0xbb7a6e59, 0x8ab0378a,
+    0xd3091568, 0xc407ccaf, 0x02a5f5af, 0xa7050c31, 0xb7efc065, 0x52f15113, 0x8ebe9491, 0x11f29032,
+    0x18b01642, 0x67872c39, 0xb47c639b, 0xb5cff266, 0x05af77a2, 0x7fe93102, 0xd6769309, 0x6b23d6a4,
+    0x713c142c, 0x5596b396, 0x7a940eb6, 0xa382edf0, 0xa8843ca8, 0x439ec5c0, 0xb645afaf, 0x51eb5274,
+    0x714d48c8, 0xd15e54b8, 0xe6d2d255, 0x002aed8d, 0xefa1b623, 0xe0314212, 0xd41bccb0, 0x94a1852b,
+    0x4c610e28, 0x89926c26, 0xd22bebb8, 0x725ffac7, 0x8082dcf6, 0xe1a30414, 0x38793f51, 0x2fad6752,
+    0x0cb221ba, 0x43613192, 0x72ff583c, 0x211dd7be, 0xe91d57bb, 0x3353386a, 0x780a0335, 0x951052ce,
+    0x50db7e1e, 0x6a10c3a5, 0xe2a6e070, 0x25bab5d3, 0x4a9998bf, 0x3d561188, 0x31038c01, 0x4e247867,
+    0xa5e65162, 0xbd537d56, 0xacb1a5da, 0x099d022e, 0xc1fb2fbf, 0x534ac1a0, 0xbb242a1f, 0x451706d1,
+    0xe3c24fff, 0xf136b08c, 0x54f31feb, 0x686f32ac, 0xf23aff19, 0x4eab7f90, 0xd4d47e18, 0xa16a5e01,
+    0x3fc2c703, 0x44cd1578, 0x1a288746, 0x26602d3c, 0x2417611b, 0x74f91d6f, 0xbcf0ad84, 0x5fd33597,
+    0x9a8ea71b, 0x128158e6, 0x52fa435e, 0x3df0162b, 0x17bb47b7, 0xec6a8b82, 0xa6f17e18, 0x14c85928,
+    0xfc451bd2, 0x1b586ccc, 0xb457ec2d, 0xb00ca71d, 0x09a5b584, 0x826f9afa, 0xcc1c33e5, 0xabc6fb1d,
+    0x61c8d790, 0x4baccfdf, 0x8c8e82f3, 0x1bf8cdf4, 0x6259db6b, 0x828a69ea, 0x5b0be17a, 0x832cb9a0,
+    0xc19439f0, 0xa9c0d9a5, 0xe4cee623, 0xbd2a2567, 0x85185d6f, 0x786b974f, 0x64a087dc, 0xaeb4b658,
+    0x6f2e9442, 0xd49e9777, 0xd0a68f3a, 0xcdaf36fd, 0x32d273b2, 0xcf98c1da, 0x6d3c5ffa, 0x9ee40d94,
+    0xb83a2674, 0xbc52e6da, 0x8dec40db, 0xbbbbcf92, 0x137e89d7, 0x9512ea87, 0xcca715cf, 0xa9a0be75,
+    0x48a6b1c1, 0x676f5e39, 0x4be09e51, 0x417b2281, 0xe18f8adf, 0x73a8354c, 0xe1164460, 0xe8a27516,
+    0xb57c475f, 0xec235cb0, 0xfdada54f, 0x9c106a06, 0x1476c54c, 0x190bb18e, 0xf28e996c, 0xd877ac10,
+    0xae897fba, 0xa1e95b5f, 0x22710aea, 0x0f96814f, 0xd67b544b, 0x1fdcd334, 0x722fdaef, 0xd29ba1ea,
+    0xf14ae04b, 0x7da17d79, 0x5d46106c, 0x02445301, 0xdea9e49e, 0x1db8e6f0, 0x184cd298, 0x0dd34d79,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000009671406556917033397649408 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b8, 0xafe492be,
+    0x00000000,
+    0xad5303ef, 0xbe8dad76, 0x840bbc6d, 0x25520074, 0xd2909cb2, 0x8588bd2d, 0x0e36c9e5, 0xd44c42f9,
+    0x7e9af7fd, 0x47b1852f, 0x5da74a95, 0x13859e5e, 0x9ed431d2, 0xc46400e7, 0x1058ed5b, 0xf061a16a,
+    0xcef84598, 0x0674d2e4, 0xc4652938, 0xdd282f9d, 0xa3ce18b7, 0x8155d4d6, 0xa993f77a, 0xc8c3ec6a,
+    0x22785328, 0x8efa3a35, 0x74479fd9, 0xd9e852c5, 0xeeaf2439, 0x1b8947c5, 0xba5164fc, 0xf317c5f2,
+    0x5369faac, 0xceb4e454, 0xa11559b7, 0xd1aedf2a, 0x3195b742, 0xde3581b8, 0xa0352fea, 0xbc04cda3,
+    0x1f7f012a, 0x092b41ae, 0x5ff18c0a, 0xec46804a, 0x1a3298d9, 0x317f4904, 0xcde34514, 0x1580315e,
+    0x5cc55d98, 0xeb080675, 0xf983c8da, 0x3972547e, 0x3a6dc727, 0xde256e0b, 0xb0e69286, 0x2298cbef,
+    0x23ffaf66, 0xc089b44b, 0xbd954125, 0x1a603bcc, 0x964b61cd, 0x646a86f8, 0xeca4fc27, 0x07957850,
+    0xd37ffb25, 0x0c290bee, 0x44f211e0, 0x97e8f925, 0x89e85c76, 0xe17838b9, 0x07965c0a, 0xd32607b7,
+    0xd08899f5, 0x9a6ccc74, 0xf8922f9c, 0xe089c48f, 0x7d39f10a, 0x216ca761, 0x5285045e, 0xab35c453,
+    0xcef0e994, 0x1964a60c, 0xae917a11, 0x428bdf45, 0xd4bbd46b, 0x4b4f5af1, 0xf8499831, 0x8f5a78a3,
+    0x5e2a8db7, 0xf1874bbc, 0xf9b7f368, 0xf1a3ab54, 0x593d2f48, 0x19b4cd4d, 0x8b69d1fc, 0xe89bb4e4,
+    0x0239b6d4, 0x5c5677b4, 0x29979ee3, 0xa2bf5d0c, 0x9a665f4f, 0x31b62665, 0x7348c68c, 0x6db1ee4d,
+    0xaad182e7, 0xeaf67748, 0x05503665, 0x57e37063, 0x46ea5a25, 0x140c6eb1, 0x6635b873, 0x16f225fc,
+    0xcc8eafe6, 0x7f2355c6, 0xc1ad4ec3, 0xfe97ca17, 0x90c69cd3, 0x5d75342d, 0x0229924b, 0x9cac55ad,
+    0x3be31a65, 0x09026151, 0xafaf9db5, 0x2b51844c, 0x6471785c, 0x6c138022, 0xb93c8393, 0xb6ad0a8c,
+    0xb19fc635, 0x5b7563e2, 0x54662e18, 0x5905072e, 0x9dd5d8d9, 0x68624c27, 0x68db1193, 0x148ba769,
+    0x211723d4, 0x802bffbd, 0xff6f7d31, 0xe94276a6, 0x5ae56609, 0x73aef53d, 0x055dedac, 0x6e997dcc,
+    0x2599c12b, 0x798cfee0, 0x787f7a6c, 0x8059f5fb, 0xc9c1a224, 0xde0fe2f9, 0x01277044, 0xbb9e6ca2,
+    0x53c0d55e, 0xf785b25c, 0xfd83671b, 0xf9afe232, 0xe7bf41b4, 0x7b3d4028, 0x759facf5, 0x906b2d62,
+    0x2c77938c, 0x66d7c982, 0x0aab39b9, 0xc47951c2, 0x844b5390, 0x0d8e1158, 0x33d61e3f, 0x2caf90f3,
+    0xd92d27fb, 0xee7725f6, 0xc12e2163, 0xaab0fac9, 0x99f08e95, 0x53436a4a, 0x7d44a036, 0x04d68886,
+    0x75d757f7, 0x20abeab8, 0x08c2ec40, 0x5f5b8c5f, 0x0c626b7a, 0x1c13d727, 0xea0de045, 0xe70c5b71,
+    0xd176c4bf, 0x4190ce6c, 0x6261f496, 0x0b6ebc79, 0xaa742e53, 0xdf1f4263, 0xed5c51a0, 0x3d25bd3b,
+    0xf4ec71c6, 0xad4a0863, 0x3f422323, 0xe951cc8d, 0x872518be, 0x6ff68b1f, 0x81dc047c, 0x7dc8e574,
+    0x48337306, 0x5b3ccd86, 0x4ac8b600, 0x90c03d00, 0xfec40a07, 0xee54200f, 0x11c67169, 0x58c0212d,
+    0x3ffba962, 0xb3e7a361, 0x224a51f5, 0xe73669fd, 0xa9df5404, 0xc83a67ae, 0x18ad7f43, 0x71eb4da1,
+    0xab1a22ca, 0xf96b5aa1, 0x48bebcfc, 0x3901f274, 0xaa6940a9, 0xca9e3c04, 0x3377e6b2, 0x90f9dc77,
+    0x38610d5e, 0x5554d106, 0x1864808e, 0xd6a81717, 0xacdcefed, 0x54e77501, 0x28b31842, 0x7d23832b,
+    0x80d2eca6, 0x914e3501, 0x4fe71198, 0x0fac400e, 0x59dd5909, 0xf7766c85, 0xe6f3b336, 0x8c6baefe,
+    0xf22d034b, 0x7dfc400b, 0xcd477a10, 0x04d687ba, 0x04e49c1a, 0xe5ece921, 0x7fe1b7e7, 0x0829c18c,
+    0xa853c6c7, 0x9359c7c8, 0x3c024f64, 0xf65d2f6a, 0x8313b1de, 0x9b499d24, 0xc70b09ad, 0x3f018a99,
+    0x4a690c5b, 0x128d523e, 0x00ed5a64, 0x69eb39b0, 0x16b9e769, 0xab37b59f, 0x85d988df, 0x7fc23393,
+    0x36ee9c4c, 0x3aa3e628, 0xf714c671, 0xbe449e63, 0x7fafb926, 0xda568aa0, 0x52a46798, 0x1d4ae26c,
+    0x9eaf6853, 0x6dc382d9, 0x2879a1a8, 0x33c9fc89, 0xca015b13, 0xd73b0596, 0xd884bdea, 0x63687c29,
+    0xc482d445, 0xe19463b8, 0x2ad7081a, 0x0c6cc376, 0x4e064dc2, 0x1a1a43fe, 0x0562ed89, 0x129b8b20,
+    0x8b04f0f7, 0xc51f0320, 0xb512b7bc, 0xfc2a8f75, 0x7cb2cfce, 0x64ee88d0, 0xced7850c, 0x49ef27ea,
+    0x192e0553, 0xe45c789b, 0x2eef35ae, 0xf427f035, 0x60006673, 0xb7bed735, 0x31a86cce, 0xf3d3fcb4,
+    0x4ebca2bf, 0xbb5bddfe, 0x80e5c22c, 0x8dbf5196, 0x658d8b0d, 0x203fac1e, 0x2d17c5fe, 0x3b5325e0,
+    0x2903a361, 0xc993c629, 0xbf0c83c4, 0x3c721ba9, 0x3be47e51, 0x3f26f019, 0x513c7bed, 0x4d83fcd5,
+    0x2f43311d, 0x07f31254, 0x437a8037, 0xb589cb12, 0xce69f7e7, 0x3a5dd6c9, 0x5bf45366, 0x85f0cc90,
+    0xff5d625c, 0x621f7005, 0xde004150, 0x581d4ee1, 0xef44cf67, 0x25ed43b4, 0xf43586d8, 0xbe1d194b,
+    0xf8d77ca1, 0x37cf6375, 0xad5c7464, 0xb82d4db2, 0x6c282c26, 0x2d076a54, 0xaeca16e5, 0xd5b7902e,
+    0xe1e1a87d, 0x38565a30, 0xe04aaabb, 0x4ff413d5, 0x2d209956, 0x93a85f67, 0x2deb9643, 0x8a99de66,
+    0x562cb992, 0xb0b259c6, 0xd69b5f67, 0x38327cb4, 0xb9e0a8cf, 0x182db4d4, 0x58a0ab95, 0xf691d214,
+    0x96b8221a, 0x329e2a25, 0xca92a5ee, 0x601370ae, 0x5c46b90f, 0x5b671d8a, 0x2e80f58d, 0x19749f48,
+    0x6aca085d, 0x17d7fc0d, 0xb1ff77b8, 0xf9c4112b, 0x669e242c, 0xc6464949, 0x4245f707, 0xb365098f,
+    0x88712d23, 0x21f4b90c, 0x60ab10fd, 0x767472f6, 0xc6040966, 0xe650cb9e, 0xd744e0ab, 0xf0d41071,
+    0xc0c7afa6, 0xfdca343d, 0x84b4008b, 0xa0b29c51, 0xe0ff66d4, 0xd772469b, 0xcfd55cfe, 0x6b585f7e,
+    0xe2d9a92f, 0x2a042544, 0xc6d1f215, 0xaac83f9a, 0x6fa13ce9, 0xca0d7b53, 0x2519f3a1, 0x629359a9,
+    0xf0503dea, 0x81188177, 0x3d9ba79b, 0xf6d80a26, 0x5cd78991, 0xc21fe820, 0x4d529bda, 0xed1336bc,
+    0x4da5565e, 0x6fa003a4, 0x8afb5ebf, 0xdcbfabe2, 0xdfccaeb1, 0xc8b2dbd2, 0xf70fa358, 0xcce759e4,
+    0xe0b4b14b, 0x6851e324, 0xcd8245b8, 0x963ac96b, 0x40c3b422, 0x2f9db0b5, 0xddf18b73, 0x8668f615,
+    0x723f7d05, 0x5e4816b2, 0x3d468fbe, 0x26e6cd25, 0x96928db4, 0x43798d60, 0xd4b6f8d2, 0x0e9ee0e0,
+    0x371668c7, 0x0f0b248b, 0x4d71a59a, 0xde08cb51, 0x945d219c, 0x57b536f8, 0xca501c5f, 0x2e44928b,
+    0xb5dbf65e, 0x99c1856e, 0x20c4b359, 0x6aa10dfc, 0x44e085d8, 0x5e747d85, 0xf6c89a06, 0x7ffd8141,
+    0x94863e68, 0x4d87d75a, 0x3d4dfea5, 0x37359f52, 0x7d056136, 0xaf74749d, 0x08873002, 0xc767cb45,
+    0x522dc3b3, 0xabe1036a, 0xc6cc9ac7, 0x8eb15559, 0x2cc58715, 0x787b6d61, 0xcdbe9ba9, 0x375e6dbd,
+    0x89a4689e, 0x1674498a, 0xeb815410, 0x9eff8694, 0x93824788, 0xc29f1c74, 0xf5f27197, 0xf9bec347,
+    0x2aafb2f6, 0xe5f8df2b, 0x0b896830, 0xcaa3c04f, 0xfa7dd959, 0x1623c218, 0x261ae943, 0x7fdb3a71,
+    0xb22a491b, 0xb0dedcee, 0x5a6e35f9, 0xd4a65339, 0x4c7678a4, 0x37cb6286, 0x3f69cb19, 0x6cd088ce,
+    0x70eda6e4, 0xab71563f, 0xef9ffc32, 0x775d7b07, 0x45945125, 0xdd01b56d, 0xa8dd511c, 0x12245787,
+    0xf8da8ad7, 0x5e5d5e19, 0x01d07024, 0x705a6c30, 0xbc308a98, 0xf06ddd07, 0xfc3ade2d, 0x93395bec,
+    0x65aaaea9, 0xfde03586, 0xca532085, 0x82633d6b, 0xf10d7535, 0xfe061152, 0xb2541809, 0xb8e4a07c,
+    0x1fefffbb, 0x2ec53f68, 0xe10a3a1e, 0xe9e1a374, 0x789b37d8, 0x767b7060, 0x38df1694, 0x5cfff6e6,
+    0x319b4280, 0x0fb80543, 0xc6cdb26e, 0xde5295ad, 0xb2b2219a, 0x4b1e6eab, 0x12176bef, 0x99d596af,
+    0x71e66e19, 0x7244a2a4, 0x1fb0b4bf, 0x211f4161, 0xdda9598b, 0x75686822, 0x8cc59d4f, 0x70698306,
+    0x0825c001, 0x36003ff2, 0x6f7a79e2, 0xfd64f8c9, 0xac6de489, 0xc9746316, 0xa985ba3d, 0x9995c2b8,
+    0xbaf6da6c, 0x12a0266d, 0x6c7988b0, 0xf4033668, 0xcb411aed, 0x8fad942f, 0x417689d2, 0xbb6999e4,
+    0x9e63dfa4, 0xe1534fab, 0xb9490d98, 0x1f24aed5, 0xd8e1c4f4, 0x6018b05f, 0xcab97da0, 0x0557dd1f,
+    0xb1276f8e, 0x5401d1ab, 0xce75d1aa, 0x9bb083a6, 0xf581bb1d, 0xb25ca4ae, 0x54d5ad45, 0x3ed48db7,
+    0x1e7c8da3, 0xbceb26d4, 0xce118b93, 0xd45323b3, 0x0700cfb2, 0xa71433f8, 0xa2c3e187, 0xe48db262,
+    0x59489376, 0x3d87d073, 0x9ab41eb0, 0x1afd6257, 0x04afee6a, 0x5e6d3b39, 0xc3fc39da, 0x394d44b5,
+    0xd21a315e, 0x3ec44866, 0x0f873014, 0x6e8ce6d3, 0x4b30cbed, 0xb76560ac, 0x22761264, 0xd6dbd901,
+    0x4bffbc29, 0x8149226f, 0xdf560f19, 0x4d2a48ba, 0xa730a006, 0x2333e2f3, 0x434a094f, 0xdc72bc86,
+    0xf5e58dde, 0xcd8259c0, 0x1eeee696, 0xb1cd6c99, 0x4ba689d0, 0xfa43f199, 0x4b581b85, 0xd19d94b1,
+    0xa2fc5480, 0xa719cb20, 0x596e25c1, 0xcd06ef4e, 0x46c7687b, 0x2a60bfe3, 0x07b10fd8, 0x56911192,
+    0x717387bb, 0x057f1fd2, 0xbdf40c07, 0xc1338a74, 0x9bfc82ac, 0x7c771f0e, 0x0cae7044, 0x5912b8e5,
+    0x6a546b58, 0x0d0d8826, 0x6dae9fde, 0x0fc9b24e, 0x6f407622, 0x47c9a017, 0xc1868ea9, 0xdcdabbe4,
+    0x9d44a6d3, 0xedab5040, 0xa2ecefc5, 0x4e9b83d2, 0x36fa4028, 0xeab66d0e, 0x714523b5, 0x78e7c048,
+    0xa0bebea9, 0xb9538a68, 0xa19bba9b, 0x50024b87, 0x2a7626a9, 0x893a5418, 0xfcc433ff, 0xa1864f05,
+    0x46923191, 0xeeaad6be, 0xaaad96fb, 0x154a387d, 0xe92fbe83, 0x9d316004, 0x8d1aef33, 0x5806568c,
+    0x00142b97, 0xc9802ac8, 0xfab8b5fb, 0x4cea3edc, 0x64453423, 0xac5df731, 0x33b7ad16, 0xc1bdfb93,
+    0x46662ab7, 0x80d0791d, 0xfa1fd04b, 0xf28b0f57, 0x185e950f, 0x4f224fdb, 0xc04f3102, 0x7e0526da,
+    0xdbbdbc26, 0x26e97b9f, 0x3a42556c, 0x1fff0e7b, 0xfe163f34, 0xdb34f39b, 0x78d3dc99, 0xab9c01cb,
+    0x93b77bd6, 0x19bc2219, 0x6029d330, 0x6b6c62cf, 0x1ddf0cc3, 0x8079f419, 0x3a609da7, 0x968e0060,
+    0x0fc58b4d, 0xbc26702a, 0xe49e9380, 0x7afe68fb, 0xfc347cea, 0x1484937c, 0x034b6e70, 0x0593584a,
+    0x5503804e, 0xf92af38e, 0x3fb2f4ce, 0xf81d2364, 0x80ec2999, 0x5ee9626e, 0x71a71ca0, 0x7eb6e7a8,
+    0x6178605d, 0xb9761b90, 0x12e4cb52, 0xad9707fe, 0x001ef9aa, 0xf4e4177a, 0x1b5273b6, 0xe97baa31,
+    0xae3f603e, 0x94e36e02, 0x3de83b3a, 0x16cab214, 0xc2866e4f, 0x6adb32f7, 0x8cf1d900, 0xe140666c,
+    0x16777442, 0x9034388a, 0x4f499036, 0x28b1fd78, 0x2e81a565, 0xdae55715, 0xdc089051, 0xb1e2caa9,
+    0xe6c995e8, 0xe5f24841, 0x90a6b59f, 0x61c2913b, 0x2d9bb879, 0x79815841, 0x50bad92f, 0xbe325357,
+    0x58a83c88, 0x89ef8e66, 0x3afa815c, 0x822b8af9, 0xb1eafb21, 0x0864918a, 0xbcf825fa, 0x1cc0d275,
+    0x34938c53, 0x0359fe8c, 0xe41c637e, 0x59fb743c, 0xfa57f457, 0xa4ef4018, 0xe7e8c6c1, 0x638d3e6e,
+    0x9f8e3053, 0x1523d534, 0x3477bff7, 0xeef639e1, 0x7bc74221, 0x855b3e0e, 0x9e7a8015, 0xeb0d58d8,
+    0xcd9dc25c, 0x8d70b38c, 0x5ccbb5b2, 0xd77b924b, 0xf444dac8, 0x9c3fc077, 0xd99f0ca9, 0x41f40888,
+    0xcae25e14, 0xba9abc9a, 0xe54e1e03, 0x18e23f68, 0xacad5a92, 0xd487af64, 0x78cef887, 0x0d08cbae,
+    0xdea9d6cb, 0x0ee840f8, 0x9cb7ca0a, 0x8383daf7, 0x1e2839c2, 0x76fe03c0, 0x903dd07e, 0x136e9a6d,
+    0xca76d03d, 0x4733b8ca, 0x05233363, 0x75fe89b8, 0xbb5c3937, 0xfc375be5, 0xecccf5b1, 0x6a4589b5,
+    0x3714cadf, 0x80fb2cb4, 0xd250e7da, 0x87fcc872, 0x48e90835, 0xa851ff48, 0xd4b58b6f, 0x390939ae,
+    0x719f226a, 0xd9f92052, 0x0ddef370, 0x8ada32ba, 0xa58a4796, 0xd5c0ef07, 0xbd90c34e, 0x0d543bbf,
+    0x1c2df699, 0x83defb60, 0x5ed821ec, 0x4afd7478, 0x9f7b89de, 0x51be3bbb, 0x3cf70c76, 0xa309d511,
+    0x90516d90, 0xc1032b2e, 0xa61b423a, 0x5e7b7b79, 0xc14d318b, 0x68db4a89, 0x445915b1, 0xee85b7bd,
+    0xd6aa356d, 0xd03c514b, 0x946924cb, 0x0a4f04eb, 0xdcf2335e, 0x949190ec, 0x5898bf03, 0x47e2c999,
+    0x7c2a1a6c, 0x51da6bda, 0x2f78686e, 0x8e4f2130, 0x74f25b42, 0x6c4c4217, 0x0f5f53c8, 0x6b9bd580,
+    0x1219ff22, 0x5b7718dc, 0xf807f38a, 0xd36ede43, 0xd3d5770c, 0x0abec3a5, 0x6c03c6b9, 0x563fc545,
+    0x369ce143, 0x934ef811, 0xc00d0da4, 0xa7f14e3b, 0xa30168ec, 0x304a3805, 0xcb27ef46, 0xaeeb4a3b,
+    0x0d91ad20, 0xf37bd3d8, 0x39ac60f1, 0x357ee6f0, 0x4ae85cfa, 0x4f75c226, 0xf41a9fdc, 0x8bfc0398,
+    0x66f718b4, 0x899984ea, 0x65221ca3, 0x4fd2145c, 0xd4360db3, 0xe5c0e9f5, 0xaa2ad1f3, 0x119babbd,
+    0xf3edc4ea, 0xd0ebecde, 0xea9d5fae, 0x54d8e6f6, 0x4f80cc68, 0x8b4cc01f, 0x93eda6eb, 0x25526c6b,
+    0x2ee0f4d6, 0xd71f55df, 0x991ae0a3, 0xe27a0185, 0x044806d0, 0x7268714c, 0xd6c3dddd, 0xf4b97b16,
+    0x322ce908, 0x55fd6afb, 0xe64cb4fc, 0xc6dc688b, 0xd80354c3, 0x0b3e6eb1, 0x571d38d2, 0xd7b958ec,
+    0xbcedf3bf, 0x67bb468a, 0x91a47970, 0xc5b27a94, 0xb2f9794f, 0x676c7419, 0x2c4e8265, 0x853c234d,
+    0x64232f7e, 0x092b6c4b, 0x1065e674, 0xb97e816e, 0xe9da8a71, 0xba6041ef, 0xf3cb2c3d, 0xe7927ef1,
+    0x3ec2aaa2, 0x4085e554, 0x5224ff2b, 0x46264e4c, 0xe5ba6a17, 0x13647d98, 0x12b8419f, 0xc24449f0,
+    0x983133e8, 0x35c3f773, 0x7c5f272e, 0x4e92cfc7, 0xf9924ce7, 0x83320867, 0x3e157448, 0xc8c09a55,
+    0x3485d252, 0x3713a2ac, 0x355b057c, 0x9f9984bc, 0x0936c2e4, 0x34c92b25, 0x353e39f4, 0x3705317a,
+    0xae585ec5, 0x8f89f173, 0x509043d3, 0x1a13a97c, 0xaecad628, 0x30c5e73d, 0x756aab71, 0x346f3cbe,
+    0x3c22a023, 0x85500d63, 0x6ade25d9, 0x00306513, 0xf47a68d0, 0x460a5bd7, 0x7bde8a0e, 0xf2ce35cd,
+    0x2bade2ef, 0xb7f17a5f, 0x44a6efe6, 0x04c5bbb2, 0x0fc31fb3, 0x7b9f1c95, 0x3e06829c, 0x6b1e43c1,
+    0xd427c012, 0xbd8fd4ae, 0x969e0d01, 0x94a10e9b, 0x4dc08dc8, 0x80d2bdd5, 0xfecb628e, 0xe00c98c1,
+    0x5c2d1034, 0xd7084fc5, 0x5b823672, 0x03ac4089, 0xe7d102ff, 0x2cef1c1c, 0x54338478, 0x2c74e649,
+    0xc9d65d2c, 0x90b8931f, 0xba701a08, 0xe4d20214, 0x83e64e5c, 0x49e558a3, 0x79e2028c, 0x8543d6cb,
+    0xed02d4f9, 0x78cbc15b, 0xcadb5130, 0x2149b2cc, 0xb82499cc, 0xccd6353d, 0x854a7468, 0x496088a5,
+    0x8240c8d2, 0x7865183d, 0xb0cc29e3, 0x7e7bef36, 0xc5376d61, 0x0fb11bd7, 0x750d1e2c, 0x0a22453f,
+    0xeac249de, 0x9af76b4b, 0xb59c028b, 0x7b7ecc2f, 0x161531ab, 0xe06ba16f, 0x5b85a35a, 0x34a4dec3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000004835703278458516698824704 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68dc, 0x57f2495e,
+    0x00000000,
+    0xd2a4eff3, 0x76123a94, 0xc270a7cf, 0xfc60c644, 0xfdc6e654, 0x7c2d6f0f, 0xcd327090, 0x651cf8de,
+    0xeda28ccf, 0x32820424, 0x04240aa6, 0x789e5aaf, 0x919e01b7, 0x4cf997b2, 0xfc0a3e1d, 0xd5500981,
+    0x33c1c6c2, 0x1c99ca81, 0x96741624, 0xc2fc4268, 0x31135386, 0x3fbb4645, 0xd995f698, 0x4a6eb8c5,
+    0x29fd409e, 0xd9623c6c, 0x497a4fdd, 0xb9847a35, 0x8d4f9c01, 0xd6b1332a, 0x98fc6d97, 0x95c4e5ce,
+    0xce8e094f, 0x4962b825, 0x755f286e, 0xf5999efa, 0x27e5cde1, 0x15b80e30, 0xf44e4fa6, 0xb83d2e9e,
+    0x988e5377, 0x8ddc2a4e, 0xadd5b655, 0x59ae6ed7, 0x0112d9ea, 0x087c810b, 0xecc67ac5, 0x376d2c60,
+    0x5c25e6bf, 0xcab13d63, 0x14fb6acb, 0xe03affaf, 0xa752184e, 0x49fac4bf, 0x45bc0693, 0xf64d379e,
+    0x33ef4ca9, 0xf8f2ad24, 0x54be0ce3, 0xf681e159, 0x7a5def34, 0x765eedc2, 0xa22f01ca, 0x7de29e37,
+    0x2a150103, 0x4fa2b9c8, 0x42407183, 0x19fc9eb6, 0x87cec5b8, 0x98cda57e, 0xbf766770, 0x3d45f189,
+    0x5634fe90, 0x083fbfd5, 0x2e8f6f1b, 0xf910bc2c, 0x23f35363, 0x0b4759cc, 0x10d1cbfc, 0xbbcadffa,
+    0xbef41d42, 0x107884e1, 0x4af763f9, 0x63a90510, 0x5f87fcd9, 0x83cfc28f, 0xdc7edb88, 0x730a81dc,
+    0xc02f31c7, 0x942cace6, 0xeb0db98a, 0x894e2f97, 0x6ae87289, 0x9135e7f5, 0x7be39b24, 0x0f0ab2fe,
+    0xe1fdbdba, 0xb6f47f57, 0xb578ed0e, 0x829d65f5, 0xe12beb15, 0xbdf82565, 0xa7d4fc0a, 0xf6f4e2a0,
+    0x96c5ca25, 0xe55977d5, 0x09f22c1c, 0x44bbde6d, 0x1a3473c2, 0x6e565114, 0x89e90d3d, 0xfb3d903c,
+    0x91f5ef2c, 0xb617b04c, 0x358ae7c1, 0x7460f657, 0x140ab8e8, 0xb29a7c0c, 0x064585e6, 0xadd4434e,
+    0x5b480df5, 0x73f14f13, 0x4dfeabdc, 0x719378dd, 0x3f7c9b05, 0xe1daa55a, 0x60e3eb11, 0x968da5f4,
+    0x031f9c7e, 0xb1e0a1bb, 0x9d8e3bd4, 0x2eacd828, 0x97d9121c, 0x768ee537, 0xcad39462, 0x430271e8,
+    0x6f57032c, 0x1a8c9525, 0xb9ea3024, 0xb91a1859, 0x2279b6b7, 0x69449364, 0xc9ee4496, 0x06702fe7,
+    0xbfa644b0, 0x1cccd5de, 0xbbc641f9, 0xb0fc4980, 0x014bba7b, 0x72a406b3, 0x7e1ee7c9, 0x50046fe6,
+    0xc0ef905d, 0xfdaf9ceb, 0x4f6f6ae1, 0x704c18b8, 0x1446c4fe, 0x675758c1, 0x466afb5e, 0x562f3356,
+    0x78168346, 0xb4bffbaf, 0x1b357472, 0xd18f8ca7, 0xe29b4346, 0xf0cc58c1, 0x02c942da, 0xed0e0e7c,
+    0x426e0836, 0xc58c2edd, 0xbd7972c3, 0x7d299fca, 0xc9e6ecfb, 0x892a313f, 0xd0b9bdc3, 0x67b8c9eb,
+    0xc584c6b0, 0x0d2d5845, 0xce92f1be, 0x8de6bb06, 0x0c13f175, 0x12e31947, 0x1586698f, 0x146b589c,
+    0x3c7d34f0, 0x5d44ca91, 0x761b3324, 0x6a671dd0, 0x611e3d0e, 0x2a1b55a9, 0xcd67bd3c, 0x652b4ed3,
+    0x515023c9, 0xfb948e86, 0xf9f7a8ca, 0x55e5ae04, 0xa8fb32ee, 0x7b2c72f1, 0xd6d48dcd, 0x60b9e13a,
+    0xf9b0cc52, 0x06bb4079, 0xd95c2fa2, 0xa515b789, 0x4d5ba155, 0xc61ffe1e, 0xaaa7b76a, 0xe73c387b,
+    0x09da9008, 0x39f2bd79, 0x4c45d326, 0x2ce712bb, 0x7f138e49, 0xd764eeb0, 0x9624c203, 0xfdf5cad2,
+    0xb6bbf274, 0x2f074abb, 0x120988ca, 0xd71b961a, 0x3907fb2e, 0x70ea4374, 0xa3968b5b, 0x21990347,
+    0x86495d88, 0x57aae8e2, 0x85a2bf68, 0xa92047b3, 0x38714e9c, 0x9608b120, 0xe7c25eb6, 0xb63fc06e,
+    0xf7f18c83, 0xc1fc137c, 0xf262977d, 0x69f9f924, 0x173f9826, 0xac49ba9f, 0xc9df49f5, 0xfa3d91cd,
+    0xf786b2ba, 0x4dfd5d83, 0xe735a3dc, 0x4bde60d3, 0xa24a870f, 0x8928c45f, 0x1fce4d83, 0x6aeb11f8,
+    0xb4dc0791, 0x3164da1f, 0xac04f6d6, 0x8497e61d, 0xe5120d01, 0x032f50e3, 0x322cf40d, 0x9ea7f7ce,
+    0x50fef60f, 0x6b5889ff, 0x62b645f6, 0x6491b7b9, 0xf311bfc8, 0xe9a271ed, 0xb8375acb, 0x9d6b9b47,
+    0x8a9e0f39, 0xc62df0a8, 0xbc523e02, 0xc4a90400, 0xc6c416c1, 0x9d79b632, 0x635d6513, 0x706be660,
+    0x565f201b, 0x787b6a97, 0xab07a277, 0xfcd4baee, 0x14b0557a, 0xff1eb885, 0x6ddc6513, 0x13adf121,
+    0xe57cddb7, 0x5b55814b, 0x3ba98763, 0x1f170f6e, 0x19e80861, 0x5fb0c55c, 0x97928919, 0xa36ed46f,
+    0xb591d6b8, 0x9b0a9686, 0x3a03e208, 0x24ee84ed, 0xb7465ead, 0x5095580e, 0x011b711f, 0x45effb35,
+    0xbbe51a86, 0x09468efd, 0x54f53c05, 0xef952119, 0x44b18d83, 0xa139cff9, 0x3cbec1ae, 0xdc54d16e,
+    0x19b4e53a, 0x2730a188, 0x8ba67726, 0x891d20ae, 0xccd368ce, 0xdb07c6bb, 0xeb249e4b, 0x9b4459c0,
+    0xeb277473, 0xde1fbe5c, 0x06c8490c, 0x0d06680e, 0x5825dc4f, 0x841d6f61, 0x0d36feec, 0xeb3b4fb5,
+    0x01d29074, 0xac9a07a4, 0xac4f7ab1, 0xdaed3d14, 0xb17f2f41, 0x510c3e66, 0xb54fa413, 0xae2ba469,
+    0x74942471, 0x762b4e98, 0x70beb71e, 0xcd2bd5ba, 0xded8b4cd, 0x60371e49, 0xfdc023c8, 0xde0e9df4,
+    0x5aa7785e, 0x4430f006, 0xf09c604c, 0x01435407, 0xb8d40528, 0x6c3a7fef, 0xa23ed301, 0x39f6aff9,
+    0xd7e0d508, 0x3af5dd99, 0x9bf72c9d, 0x49a71fa3, 0x5923c8ac, 0x1d101339, 0xb2a386ea, 0x3c149d97,
+    0x07c0d776, 0x71b9d1c2, 0xe9b6282a, 0x8454d0d5, 0x58a8f9e8, 0x5713a2e1, 0x75816282, 0xe2c53784,
+    0x7adbd599, 0xc1ac182f, 0xdde3992f, 0x49523d29, 0x1dbde42c, 0xd0b0db21, 0x5b052b73, 0x608c2fa4,
+    0xb4bae805, 0x7b5e3769, 0x6f505981, 0xcbd10b81, 0x4798d99a, 0xe4ee607a, 0xfb480641, 0xff7309b3,
+    0x7d074a5a, 0x20c6edff, 0x00502f21, 0x1d381960, 0xf490a859, 0x0c87e53c, 0xed8689a2, 0xa44a2f20,
+    0x419d705c, 0xa86e54b3, 0xe133adfc, 0x4324e7a6, 0x40c25902, 0xb37c21fa, 0xf028b55e, 0xd83f7ab4,
+    0x55fa51c0, 0x57bdceef, 0x1c00e007, 0xb72a13d3, 0x6ac7ce01, 0x56a698c0, 0x772669ca, 0xdb7218ac,
+    0xc15e9a28, 0x6bd42592, 0x6e514673, 0x115bbdcb, 0x3b00e4cd, 0xaf49ebbc, 0x1fca9861, 0x6d984c91,
+    0x4ea43dd3, 0x92b288ad, 0x7e7eadfb, 0x71e5ec98, 0x14a53675, 0xc6fff9f2, 0x005d4948, 0xef7273ce,
+    0x6af7c61a, 0x2c88b4bf, 0x1677f3cb, 0xdeebf34e, 0xb2cfa7ef, 0x72b41bae, 0x5f59e056, 0xeab081ce,
+    0x2f5b9305, 0xbc39f2cb, 0xb1d2ba9c, 0x766981eb, 0x5ca0bbce, 0x4121cd2b, 0x5adba935, 0x0b1028b6,
+    0xb9ff0dcc, 0xe7a685b3, 0x716115ca, 0x22ca41c3, 0x320939bc, 0xffb74c56, 0x389ff066, 0x8080cd82,
+    0xa032296f, 0x7a21df3d, 0x0ad74217, 0x680f630a, 0x244da86d, 0x8a1c04ff, 0x286cc13d, 0xb7efabfa,
+    0xcbfe0ae6, 0x27ad7fcb, 0x2b5e8080, 0x28f7b86d, 0xf602299d, 0x71fbad6a, 0xd8ba33b4, 0xb7d4812d,
+    0x038d8753, 0x43f1d1d6, 0x0b53b534, 0x20a25acd, 0xc9b8012d, 0x0060fff1, 0xc4e4b4cc, 0xb61f723b,
+    0xe365823c, 0xe41dbd14, 0x0b4bb3c2, 0xf9407ae4, 0x071f96d0, 0xb400dc9f, 0xb4e69cdd, 0x80df9581,
+    0x97ec6adb, 0x893ecff5, 0xfab43fe5, 0x1e49a24a, 0xe1795bb6, 0x7fa9c8a3, 0x4c836a07, 0xa667d21c,
+    0x8a5f5cd0, 0x8483de6b, 0xe58623f8, 0xf638d828, 0x91eb2750, 0xc440e8ce, 0xea786aa9, 0x87bc0bab,
+    0xde3913b2, 0xb5bc6346, 0xec02e83c, 0xb2e2e1ca, 0x1f7bd1b8, 0x78a93a7f, 0xe675b251, 0x426646fc,
+    0x4b65022d, 0x15d0f4b2, 0xce1585c9, 0x811a7cdc, 0xd4ee6efc, 0xba9aa90f, 0x54b638b9, 0x454078f2,
+    0x0c1acaca, 0xf9fb5c24, 0x068bd814, 0x8fde8361, 0xb91cde56, 0x6d4a0309, 0x3e963c8f, 0xac5fa737,
+    0xfa5996e6, 0x04c46ef5, 0xc3d944d4, 0xd3208862, 0xdf4b169a, 0xbdcf526f, 0x34713d46, 0xdaf86b21,
+    0xa8014a3f, 0xc9e9ce6b, 0xe0d233f7, 0x86c65d8c, 0x56923b9a, 0x6425c1be, 0xe896a4e5, 0xa5e62d77,
+    0x78d9a307, 0x84e634e9, 0x420327d1, 0x39696f1c, 0xf37f19f5, 0x98c4d7e1, 0x7c0fb4c8, 0xe79d065e,
+    0xd52c870a, 0x99c08471, 0xc68bf874, 0x1f364e19, 0x34ec4e94, 0x70893f9a, 0xb9d06b56, 0xdb13b2c4,
+    0x9dc7cda3, 0xd09fa9f5, 0x33de8def, 0xb50896b4, 0xfc8ba7d4, 0x3cf6790d, 0x69ed0a94, 0x6e729d41,
+    0xc164d3dd, 0x1be5dd55, 0xae47103a, 0xa1745783, 0x0a5ab206, 0xddb18a98, 0x7e9da52c, 0xe5d01483,
+    0x375fbdf7, 0xcd1407fc, 0x98cc5b76, 0x2c30f86b, 0x40a63596, 0x9c9ae2e0, 0x8c0d2804, 0x1a43d7cc,
+    0x656e5f1e, 0x5dc4bf4f, 0x556be53d, 0xc0884560, 0xfa2dc338, 0x15486d11, 0x41c3c7b2, 0x3ab0f857,
+    0x7ca1e419, 0xd4ba52ac, 0x077a9130, 0xed31de22, 0x97124e53, 0x1f0519b4, 0x1907421e, 0xc1a54308,
+    0xe006861c, 0xa70968e1, 0x747ecdb7, 0x5e9cbe2a, 0x90dfb89d, 0x7c75fb7c, 0x157532fe, 0x4db363c9,
+    0x9400c1d4, 0xbba686f1, 0xddab6926, 0x366db047, 0xb231c4cc, 0xd444d184, 0x00d73610, 0xe3e65752,
+    0xe83eabfc, 0xcc5830fe, 0xc6bcf8f6, 0xf3c97dad, 0x8bea6e05, 0x220d7191, 0xe3086432, 0x4f67f1ef,
+    0xa2233f62, 0xc99cea0b, 0x0a047a69, 0x2924de5f, 0x6d5d3121, 0x063f8ed5, 0x81abb41f, 0xc15c2225,
+    0x52880c96, 0x8977756c, 0xb7e8a37e, 0x93c98c06, 0x7905bef0, 0x29c708de, 0x4009fad7, 0xbe8361ef,
+    0x33ddad4a, 0x25a3d52e, 0x68d77361, 0x7b8be6d0, 0xb8cbfa3d, 0x2841b991, 0xb4889b81, 0x9ffad467,
+    0x5e3559be, 0x50d6c3ad, 0x42bc2b1f, 0xc9bee1db, 0x33a157c6, 0xfd288f8e, 0x5537e8c6, 0x4fac285d,
+    0x2d0b2bac, 0xc0a88f7e, 0x07f446e6, 0xfa94ba83, 0xa183d313, 0x3cea0a5e, 0xa6edcee6, 0x70c26a76,
+    0x6f03af1e, 0x6f80ec33, 0x65a27a84, 0xd797a2d7, 0x6c72cd57, 0x33446b57, 0x089dfd4b, 0xbdd89538,
+    0x8a1e7138, 0x782f557b, 0x5e92c05b, 0xddbd6edc, 0x06d06f56, 0x7b0fcec9, 0xc595d2c5, 0xa84e0877,
+    0xc2b7ae2e, 0x3bb0a4de, 0x2072a21b, 0xbe3b3c1e, 0xbc72d44f, 0x6c9e306c, 0x762c4b72, 0x440e6ed3,
+    0x77e24136, 0xa39ea59f, 0x45822438, 0x46c53440, 0x5a895ee3, 0x54823ac0, 0x73d08795, 0x6ee14564,
+    0xf5bbc8c1, 0xfe1b0771, 0x88504325, 0x08e6ae4c, 0x6c031922, 0x61eb1adb, 0x86abc2da, 0x03685ca3,
+    0x8427a7df, 0x0689b1ef, 0x95d35213, 0xede00a8d, 0xec47831c, 0x5ffee713, 0x3d546e19, 0x010fadc8,
+    0xb1aaec0d, 0xa4090687, 0xa5ff575f, 0xd87827db, 0xd1ad76e2, 0x6509a02e, 0x6806858a, 0x37963dec,
+    0x46c39408, 0xadcc70f4, 0x224abdfe, 0x11fc37ef, 0xb429cf5f, 0x108da4a8, 0xed705315, 0xdb11ed3e,
+    0x7c5ce39f, 0x1eceacbf, 0xae1918b9, 0x51a10fe5, 0x2b340c4f, 0x4d2f974a, 0x93ebcf11, 0x62f98eb4,
+    0x442dc7cd, 0x6626cb11, 0xaf5ecb83, 0x71e9ad98, 0x04ec7837, 0x9634b007, 0x3efd94dc, 0x219ccf4e,
+    0xeb166c5d, 0xb2444875, 0x5876f50e, 0xdca1bc4e, 0x31ef3765, 0xbc0b5212, 0xaf36c1e2, 0xb58847ec,
+    0x6c31b745, 0xdd223dc1, 0x1da81671, 0xf9d9bf97, 0x6035c259, 0xcbbcce22, 0x888694d2, 0xd9434dc6,
+    0x2315ac73, 0x5a50be07, 0xdd6c715f, 0x2144c14e, 0x6184e939, 0x7de5b27d, 0xbe0986fc, 0xdd83b664,
+    0x8c7e6813, 0x35441738, 0x6f62c6e8, 0xd3e716da, 0x7098d568, 0xbbdeb12c, 0xde8d89f5, 0xfde91b4b,
+    0xb25b0ed6, 0x5a355bfc, 0xf72e23be, 0xe8900db0, 0x74fa7476, 0x9316a871, 0x14219cc4, 0x51179a58,
+    0x763e523e, 0x3bf03bb3, 0xc3be6d0e, 0xab5e5b0a, 0xf185b39c, 0x3d2cbd72, 0x6a8feb0b, 0x105ff165,
+    0xffc6d719, 0x4bafa2dd, 0xc35bbb4c, 0xf5697ef7, 0x6b8dd470, 0xd7b2b0da, 0xb378b288, 0xa8c401dd,
+    0xc5f75cde, 0xf4c5f0c0, 0x7a1ff8c6, 0x26f9c7cf, 0xfbd8b9b2, 0x507ca428, 0x2607748a, 0xeaf0931c,
+    0xc384c02a, 0x35ae6718, 0xd3ef69d6, 0x961b9a01, 0x76d570ac, 0x5bd32f91, 0xe22aaf3b, 0xccf86813,
+    0x72fbadcf, 0x9d32eddb, 0x276475af, 0x2fe63ee6, 0x43ccfde4, 0x0bb16710, 0x4a29f4f5, 0x8d2a3ed0,
+    0x2329e332, 0xebf82cbc, 0x01ed3131, 0x17b55013, 0xe1ba36ec, 0x20c3d7f1, 0xc30dc648, 0x34288cd4,
+    0x0f8bf35b, 0xe0436bb8, 0xce83970f, 0x99a02d2d, 0x2971ff7d, 0x3bcdd0f3, 0x99100045, 0x46243f4c,
+    0x66c297df, 0xc2c2198c, 0xe1cf4884, 0x2657eba1, 0xcdf64d37, 0x9657f2e2, 0x357cd208, 0x1338354a,
+    0x17171174, 0x88084ad7, 0x7c80ef43, 0x07810aa7, 0x10a96ff8, 0x6874aee1, 0xf75bbd88, 0x0324df5c,
+    0x967e01f6, 0x931edbe0, 0xf21533c5, 0xf607366d, 0x02cc137e, 0x155692af, 0xd71fed27, 0xad38fd49,
+    0x502e61dd, 0x3fd66e18, 0x28310a9f, 0x4315b28a, 0x7488b459, 0xfd13e0e6, 0x8f24c4dc, 0xe2ead8df,
+    0xf198195f, 0x82003522, 0x9a25690e, 0x9bf6d164, 0x86496bcd, 0xa1815717, 0x6ae7a340, 0xaee8f514,
+    0x332b637f, 0x7e453c09, 0x1a0ba895, 0xf6955fd2, 0x18029845, 0x1dd5508f, 0xebabb9be, 0x6a08e655,
+    0x38886dd9, 0xe14796e1, 0x377fafcb, 0x1792208c, 0xccd85842, 0x789c3d2f, 0xeae656a8, 0x04c256ee,
+    0x12c47ea3, 0x6070ec90, 0xbaa8616f, 0xf32d636c, 0x9926e13d, 0x481b5f91, 0x9a3ca0ce, 0x1896125f,
+    0xed4d3360, 0xdacb6911, 0xb74f5dba, 0xc119f2ed, 0xa1ec4246, 0xefd5f06f, 0xc8342e65, 0x8024a905,
+    0xc15df517, 0xf51bf5ba, 0x55246b2f, 0xad45251c, 0xaedb0817, 0xca0a6199, 0x1f10f5ed, 0xefecb1cd,
+    0xdf58034d, 0x2ad9a572, 0xb5d6159e, 0x684c74ce, 0x5c386a84, 0xbd6ccb35, 0xfd2ab3e8, 0x56b2eef3,
+    0x27b9805d, 0xf8459c66, 0xc68be672, 0x3665940b, 0x53ed95bb, 0x81eb1476, 0xd00e6627, 0x45af0caf,
+    0x71b95148, 0x9c585825, 0xc224074f, 0x8e9244e2, 0x7e895914, 0x48906c21, 0x7541d7f4, 0x2250b813,
+    0xc929c841, 0x8ed219e3, 0xb6b280df, 0xb2f809f1, 0x2cd8e31e, 0xd15f35d1, 0x083f84cb, 0x964b8826,
+    0x7decda2b, 0x11fe8f01, 0xb0e02ada, 0x08baaade, 0xb0ac5dd2, 0x751310bd, 0x88b17f58, 0x1813ae0b,
+    0x6f1249f4, 0x8ee65222, 0x56be5b48, 0xc4861253, 0x60876f6d, 0x814660d3, 0x7ac967a5, 0x01a7191a,
+    0xfedc2b3f, 0x68a5ab25, 0xda9ff366, 0x1b248c80, 0x76ee8148, 0x5e006aa6, 0x6c32a9a8, 0x11074586,
+    0x17626057, 0xb00443a5, 0x3e7f31dc, 0x2b0c4753, 0xefa1f5d7, 0xbee102de, 0xb168c09e, 0x91601521,
+    0x9dea0775, 0x980c30f8, 0x263da601, 0x8c22e387, 0xeafe2c2c, 0x88941f13, 0x91817202, 0x26d0163d,
+    0xf6a37db2, 0x66888a45, 0xa6d5bd28, 0x3111a045, 0xb0c6b363, 0xcc10faaf, 0x9d5f5734, 0xbe82d58e,
+    0x23599b2e, 0x1fa476d8, 0x0216c210, 0xd85c3d5a, 0x9e081045, 0xa95603ed, 0xed62d42a, 0x579b14ce,
+    0x995242bf, 0x9b248aee, 0xcb9d468c, 0x680d6cdc, 0xc06a0ea6, 0x44338c69, 0x20b55a23, 0x0ba33af7,
+    0x5d78cb87, 0x6e6157f9, 0x9894ef87, 0x6f3a0720, 0xe7c15504, 0xe666f369, 0xab6d474d, 0x988fcaf2,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000002417851639229258349412352 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346e, 0x2bf924ae,
+    0x00000000,
+    0xe837a9d8, 0xd97e34b1, 0x83c65d82, 0x9475101a, 0x349e5189, 0xf9b17acc, 0x3fc1436d, 0x69c06616,
+    0x06daed03, 0xd49ee92e, 0x5b1329cf, 0x1674e2c9, 0x374c5cbb, 0x1164d8d2, 0xcf094f29, 0x8c53c9df,
+    0xf9cd5903, 0x6751a7a7, 0x15920eaf, 0x12802299, 0x1dac02f5, 0xdf9dadbb, 0x0b6adbbe, 0xba0dd78e,
+    0x70dbcf0e, 0x9663cdb1, 0xc03474bf, 0x7b0dd9f0, 0xa4100d1c, 0x28e6ec7c, 0xd6acb0c5, 0xa9a77eaf,
+    0x02533b32, 0x48e97fa5, 0x08feca10, 0xf688ddb5, 0x67649662, 0x2248c855, 0x7c4311d6, 0x30fd0cb8,
+    0x0c7a37fa, 0x1be46f20, 0x9dd48473, 0xa3644b57, 0xf0e4bf2d, 0xd8d90dba, 0x8bd0a815, 0x1b6daec8,
+    0x6a6b0f5c, 0x8297cab2, 0xd7a8bc7c, 0x9e22d67d, 0x60caef2c, 0xa99d7996, 0xe4f1e907, 0x7fe05c28,
+    0x00200611, 0xd5a16cec, 0xb73f9127, 0x721dedf9, 0x31b0e8e7, 0xb51e43a9, 0x3086b82a, 0xafbe1399,
+    0xdad35d2a, 0x4191bbe2, 0xc4ef2b17, 0x59270638, 0xa86f07f8, 0x7bf7b148, 0x6d3982c1, 0xd77353ee,
+    0xafccb2cd, 0xe7c7c806, 0x124c27e4, 0x636ace64, 0x722f1a11, 0x0b876954, 0x3fc3a78f, 0xe35b179b,
+    0x0e9a755e, 0x8714237b, 0x7741a874, 0x2ee3a0f8, 0xadde09e2, 0xa3cd1c37, 0xca484b43, 0xe32fbb3e,
+    0x08953043, 0x0175e3d5, 0x5c76f67a, 0x7c22c72a, 0xaf0ed324, 0x80d7ba6c, 0xcce66857, 0x36863694,
+    0xbfd46160, 0x8e20ec1e, 0x420bbdb8, 0x698a2308, 0x5f329a02, 0xcb730a40, 0x7d3675f9, 0x9ff5fdd4,
+    0x192597b7, 0x4b54427d, 0x7131f1eb, 0xd5f768df, 0x05b62ebd, 0x0d433242, 0x58bf6707, 0x99d815ac,
+    0xfbd30e4e, 0xabf93e73, 0x66a37c80, 0x797a98eb, 0x95190130, 0x7b8b74ba, 0x2c32b5cc, 0x0e272ac6,
+    0xfaf2f192, 0xdb123cdf, 0x34125115, 0xc65fa864, 0x17cf24de, 0x8359bfa3, 0x8283f7f2, 0xe12600ce,
+    0xc2fafea3, 0x2396adb7, 0xad073364, 0x0830f40e, 0xe328b5f4, 0x4d2d4118, 0x1f47e1b9, 0x03c7b3c3,
+    0x14bbb0d9, 0x5111d15d, 0x0136680c, 0x5f8ccf2c, 0x07621f63, 0xc5343008, 0xb71f14c7, 0xfb5b4d34,
+    0x05e00396, 0xcf5931db, 0x26cc32e2, 0x6cb12e66, 0xf7993529, 0x20cebeb8, 0xaffeb53e, 0x90c9dca9,
+    0x167b8ab9, 0x75f057ee, 0x4e9c2a46, 0xb1da5749, 0xd8c00486, 0x6cd33524, 0x596ab115, 0xa5e26db7,
+    0x791873fe, 0x2b2c9111, 0x31703603, 0x3ea28f83, 0xea7d7b04, 0x3157253b, 0x862def34, 0xd364fcbd,
+    0x73259754, 0xe6643f99, 0xc572d1bd, 0x93344ee3, 0x595715b7, 0x1aed88a2, 0x431f0886, 0x59096003,
+    0x46f0aa00, 0x548eace4, 0xc5b3b2bc, 0x9c7484be, 0x4546e453, 0xb4f28461, 0x145b6441, 0x11a612e2,
+    0x659a6f28, 0x326e458f, 0xde47a6b6, 0x8c1eb853, 0x719f7054, 0x387a2120, 0x393b021f, 0x37994645,
+    0x39933b0d, 0x6947c84e, 0x4249e06c, 0x3defb128, 0x4e95ce43, 0xad94fba1, 0xac89ea2a, 0xfd28a528,
+    0xa197b2a6, 0xe8d27c2a, 0xf5e6a291, 0x38a60169, 0x21005767, 0x8e654f6b, 0x75524973, 0x872baeeb,
+    0x5dd4517a, 0x84f604d7, 0x445594b5, 0xb57f57fe, 0x1f408e4b, 0x9bed99bd, 0xb93cdce3, 0x0914e4c3,
+    0xad895f4a, 0x654cb0a6, 0x973a9707, 0x78fe892a, 0x9f95d847, 0x3a3b2686, 0x522e4be8, 0xd91ebc99,
+    0xf53917cb, 0xc32eb7b3, 0x02839344, 0xb3c62c07, 0xf4bca3a9, 0x067e9d75, 0xde1ac08f, 0x413d4ed5,
+    0xb1a32b71, 0x62566a85, 0x14758da1, 0xbe62d99d, 0xe83f4ac5, 0xebcbf676, 0x17430cca, 0xbbeac0bc,
+    0x53fa4e75, 0xe800ae74, 0x42d81290, 0x0cf184ed, 0xbb03ca06, 0x2a4024bd, 0x4792c5c5, 0x0cadd50d,
+    0x06317999, 0xa8265a56, 0xb44f38c4, 0x3f86a6ab, 0x8f00ddac, 0xc6584373, 0x6b367bac, 0xe1fdbe2d,
+    0x752f8ecd, 0x42f3e4c1, 0x3bcecfe8, 0x861f7671, 0x5a3ec5ef, 0x1c66762c, 0xc4094125, 0x2d5ee40b,
+    0x74408132, 0x74e76a98, 0xf38d6433, 0x8b1ba26e, 0x0b2d9dd2, 0x77721a27, 0x33e4626b, 0x6431df73,
+    0xfe392120, 0x942c7dde, 0x21c9736f, 0x03fac92d, 0x64607493, 0x305ea275, 0x7a55fcc8, 0xa6fee746,
+    0x298f66d9, 0x593ce199, 0xf29c3c8d, 0xaf241a4b, 0x15fff507, 0x4c2f2223, 0xa243d7bb, 0x65bfd4a7,
+    0xfabd3d32, 0x2fdb2740, 0x0df14307, 0x21242168, 0x3920efbf, 0x608975fa, 0x8f7c8997, 0xa3c78c2d,
+    0x184020c3, 0x38fb67c4, 0x592ee135, 0xe06e6a31, 0xcff91c6a, 0xc0f6bfe9, 0x3d85be48, 0xf1f84a21,
+    0xca37fb08, 0x403b3a94, 0xe71cd0ec, 0xc87fee0b, 0x9759355c, 0x7edb9d6b, 0x7bd3811f, 0xfb84f3a5,
+    0x72180e53, 0xbe7f02cf, 0x677eb5ee, 0xf9e9decc, 0xcaab54de, 0xe776e2c8, 0xa73333b7, 0x4aa44f32,
+    0x7e4a1898, 0x7e6c22c9, 0x505809b2, 0x8902bde0, 0x91fc3656, 0x281f00ae, 0x627cfb3b, 0x1fcc00a5,
+    0xd8bc15b2, 0xd265f983, 0x1664f511, 0x30f3ad0c, 0x6dc0d646, 0xcfec376b, 0xb6ed0f13, 0xa0b6b32d,
+    0x94858c11, 0x69ff0904, 0xbd0e6346, 0xfd621d96, 0x75ec7a97, 0xf7cc2d17, 0x0b427d55, 0x3167eea7,
+    0xe55b6888, 0xbb7505f7, 0x6db7a438, 0xd715a9db, 0x6f35b2c0, 0xd919545b, 0x56391220, 0x3bf88c43,
+    0x639f37cc, 0x7780c488, 0x926d8060, 0xc3515e35, 0x599ce5d8, 0x8d1ac757, 0xfa7485e2, 0x903c0b19,
+    0xc9a50695, 0xa5fd6d97, 0xd9c5385c, 0xa4b858f9, 0xe589fb1d, 0x7d694a0b, 0x98d877fe, 0x57ef1ff6,
+    0xa1710d8b, 0xf0e934ac, 0x9d22e2f4, 0xb926e56a, 0x9d14ecb2, 0xabc9ff7b, 0x9ffddfbd, 0x571daf7e,
+    0xb93cdd7b, 0xcfd2e74f, 0x391f4ff0, 0x5f30f558, 0x1267d990, 0x326014d1, 0x07802861, 0xb4bf6ee9,
+    0x2cdd2f29, 0x0ed0b929, 0x348aecb0, 0xcae5316e, 0xe9d089f4, 0x54dc4f6d, 0x5728bace, 0xcafd2ac3,
+    0x414c1424, 0xe91fe033, 0xb7c68783, 0x9e4a5c79, 0x7848e15b, 0x37440283, 0x80c00160, 0x16d9fda7,
+    0x798b4b55, 0x3a4b1734, 0x95cf91bd, 0xd012045b, 0x04f98ea3, 0x8b0d3141, 0x0149dbc9, 0x22906bbf,
+    0x59f3120e, 0x39d930bc, 0x3c3e553b, 0xef3c46eb, 0x6c4a69e7, 0x7c917216, 0x4d85374f, 0x5c44a20b,
+    0x6647665c, 0x52149e3b, 0x9f7476b1, 0xbae1c576, 0x89458b73, 0x1050830f, 0x9a249d86, 0x1cce2817,
+    0xc2758547, 0xa3edeaa1, 0x04345b40, 0x5f0261fd, 0xba565624, 0x27d2f832, 0x03b4a08f, 0x44806c3b,
+    0x159a9c6c, 0x127e9031, 0x6f81af32, 0xaa8c3067, 0x5e565d64, 0x76ac2207, 0x93f1dddb, 0xa3a8b3f3,
+    0xbd2a334f, 0xe4aa5096, 0x998b8427, 0xc71f866a, 0x9bba52ce, 0x66f5bf5a, 0x8164232a, 0x8576fff0,
+    0x922f75a0, 0xf219b64a, 0x8403bcf7, 0x2f702d73, 0xc600f6c5, 0x2fed459a, 0xb3ee0c27, 0xc33531bf,
+    0x8192ed98, 0x83822f33, 0xf22eb296, 0x343326e8, 0x71cc910b, 0xe080385e, 0xd2ade6da, 0x3b59b75d,
+    0x9ff83455, 0xfb2f13b2, 0x99f1fc20, 0xb2c3320d, 0x0b218b76, 0x7f100086, 0x5d890f23, 0x059936ae,
+    0xb6f235f4, 0x3621dad3, 0xa4ddd6a5, 0x1461be03, 0x15f43ed4, 0xe8d02571, 0xa6011d21, 0x817552b0,
+    0xf7579aa0, 0x1a5462f5, 0x711d1ac4, 0x6b5aa12f, 0xdbd3cae7, 0x9166e6d5, 0x57b744a7, 0x2e665ad2,
+    0x193c777a, 0x5739d271, 0xa4310ad2, 0x36951cc0, 0x945d7143, 0x5b09a36b, 0xf4e60ca3, 0xd310c7e7,
+    0x2c711842, 0x3f1d06d6, 0xadcc5951, 0x8a8acd1b, 0xe2bcbb95, 0x801838cf, 0xb909c183, 0x4f6bf0f9,
+    0xa6c3a7e6, 0xa320aec1, 0x4827a1a0, 0x62726dbb, 0xdd6be5f8, 0xd2045505, 0x1a51c642, 0x52a59a91,
+    0xda230fbc, 0xaa50c950, 0x6026cf2f, 0x1f03afce, 0xf07db672, 0xf6dc4302, 0x0c6ad165, 0x20df2a92,
+    0x0b46ce84, 0x5cbb1918, 0x48cdd8ce, 0xe9f0e4b6, 0x3699e5c9, 0x90879ba9, 0xe208dabf, 0x879f3baa,
+    0xe0809a03, 0x865d3d15, 0x93816caf, 0xe9125219, 0x1cb24fa8, 0x268408c1, 0x0aa263ec, 0xdc99c4df,
+    0xff68eec6, 0x69ee0d56, 0x28231bb5, 0xb11a0a06, 0x3f8e2fd6, 0xc62ceff6, 0xf9dd55b3, 0x5e695d3f,
+    0xfc24091d, 0x663a51ae, 0x02f8f208, 0x90f9e9e2, 0x48e629e6, 0xbc3b6550, 0x076008fc, 0x7367a266,
+    0x028eec19, 0xa68b4bbf, 0xac9a562e, 0x78811a7f, 0x6c2d4b68, 0x5e394d35, 0xc444deab, 0x119915eb,
+    0x680ff73e, 0x53441223, 0x5ddf724e, 0xbec63f14, 0x7004aa66, 0x33673711, 0xf3a6e2fe, 0x29f2eff9,
+    0x91d4a6d1, 0x59bfec5d, 0x96de18db, 0xd36efb84, 0xa1db7c75, 0xc83e252a, 0x1b513621, 0x7da1b30a,
+    0x2294f07b, 0x19eed85f, 0xbff3aac3, 0x120868c4, 0xf37bfc74, 0xd912fd25, 0xfb80433d, 0x37789543,
+    0x11d74073, 0x0513ff05, 0x641d4c56, 0xa63573a7, 0xba5a4b77, 0x5ca6e08e, 0x4a63110c, 0xd7889df8,
+    0x32aff51a, 0x10ba588d, 0x100da6c8, 0x8e61d8ac, 0xbd16caa8, 0x48a858cc, 0x3db9a0e2, 0xbce5a3b0,
+    0x65323395, 0x890ab6f4, 0xe9935685, 0x87c43551, 0xa4fd88f5, 0x8794c72a, 0x371cd122, 0x708bbb8f,
+    0x7b4ffdb3, 0x6c07311b, 0x89eeec7d, 0x2113fb61, 0x8227e075, 0x772fca0f, 0x0b9f73b6, 0x872ad7ed,
+    0x63330728, 0xe7f4d49f, 0xd2449371, 0x275b01e3, 0xd14de71d, 0xd5c65b5a, 0x4d64a73e, 0xf9894dfb,
+    0x24fd3bc2, 0x763916b8, 0x435d59e7, 0x70b1466c, 0x69d353a4, 0x401a420c, 0xd308e6cb, 0xdd195724,
+    0x945afc79, 0xbc3da20d, 0xbded2dca, 0xd80c7c39, 0x3e78bc3d, 0x3ccc1b7b, 0x2ccc1bba, 0x1fee6adf,
+    0xea9cd425, 0x7b8f749f, 0xc1c322b7, 0x646ecc23, 0x500583e0, 0x2f9d5f2d, 0x1be8c3d8, 0x47fe2688,
+    0xd8627915, 0xfa253619, 0x14262179, 0xd04679b0, 0x054c839f, 0x184eae82, 0x8b3f84a7, 0xf377d607,
+    0xc9f9c75f, 0x94283c19, 0x409fc952, 0x28bab97b, 0xd85c08dd, 0x33bb0172, 0x03b10341, 0x15c9853c,
+    0xc8384e7a, 0x76b64134, 0x54dfcc98, 0x8c2f235a, 0x29411e9e, 0xc410ede4, 0x3ab6b298, 0xa6b4c731,
+    0x79b3e8de, 0xe9953139, 0x0c4a004f, 0x40809f42, 0x6e0711e5, 0x0067e3e0, 0x91a8d361, 0xf2407cce,
+    0x6577806f, 0xbb33c2a4, 0xcd06dd29, 0x06c80758, 0x1e2ab933, 0xb813ea53, 0xb453ffc4, 0x1740265d,
+    0x33e0b409, 0xb9ed9364, 0x6af78170, 0xcdba0cf0, 0x01d1d102, 0x71f0ffda, 0x50b1555c, 0x791bfbb4,
+    0x1178424f, 0x4aafbbea, 0x3734387e, 0x35d1bf72, 0xeb7dee42, 0x42d09e13, 0x80bc5257, 0x04fc9597,
+    0xd44b4eb9, 0xe7621254, 0xe6aa4e82, 0xb4b4e8bb, 0x7e325f67, 0xf8e7489b, 0x67c00967, 0x0d11de43,
+    0xb385f9e1, 0x7dbfb903, 0x1e76cebb, 0x9b8b1ab7, 0xf7351eff, 0x7daff120, 0xf72b6f20, 0xab38beba,
+    0xe96a29e5, 0xe1074b97, 0x1ef93c82, 0x66b3c0eb, 0x4cd00317, 0x0a3868aa, 0x9b3d1fd6, 0x230a75f3,
+    0x6157041a, 0x0b445268, 0xba763df1, 0x83354dc3, 0x8eb13fca, 0xb9e1ba0f, 0x26257dc7, 0xf93997bb,
+    0x26a42c63, 0x690dc5c9, 0x3e3310cd, 0x8cc3288c, 0x77d602d3, 0xf90e9f3e, 0x85e11710, 0xef5e7ae4,
+    0xfcd40300, 0xd97e2e02, 0xfd741f41, 0x9424ffa4, 0x5c57dbd8, 0x31cb95fd, 0xfb7ab888, 0xcc25f99a,
+    0xa3b47e68, 0x6e6b2464, 0x8acb7a15, 0xbcc013c8, 0x1bdcec68, 0x2969a235, 0xb99fddd4, 0xae9ea3a9,
+    0x3872b501, 0x3cd11167, 0xd9d5250b, 0x25953552, 0x04475b4e, 0x07d8a4f2, 0x5a96fd42, 0x13e53d3f,
+    0xb6d31d7f, 0x71a93436, 0x1790d447, 0x4f47900f, 0x9f5acb54, 0xd80b75a7, 0xdef1549e, 0x7e39434c,
+    0x3cc23258, 0xf09a3e69, 0x498eda3d, 0x04ba4ed4, 0xcda5b8c2, 0x316a6067, 0xe6d8d211, 0xddd54d61,
+    0xd6ffaaae, 0x80f273b2, 0x15a8510f, 0x3f6ae934, 0xc2485d2f, 0xda263003, 0xae851f5d, 0xd1ff7db4,
+    0x6230c351, 0x93c545c5, 0x4a707569, 0x2502faf0, 0x4039b07b, 0x3a1560a9, 0xfd374558, 0x87a5775b,
+    0xe28f55e7, 0xed51d314, 0xb2f44edf, 0xb7f029f7, 0x044d1130, 0x0f42a4a3, 0x2c9c6230, 0xce61bc49,
+    0xcdbb187d, 0x9c5da643, 0x3f9a4fda, 0x4846d9ac, 0x32d7d7cc, 0x720bdd8f, 0x9bb4cc4b, 0x63fb30e8,
+    0xf1e9af5a, 0x27708428, 0x2b8c6aa2, 0x2ef5e384, 0x9809b837, 0x1169ce60, 0x7dee26c9, 0xb59e269b,
+    0xcd6c9dc6, 0xf739dcf6, 0x7fcd5926, 0x3c49a2e3, 0x5a645a3e, 0x062a9b5b, 0x413bf030, 0xf32965f4,
+    0x4acafc87, 0x43e0373f, 0x1868d912, 0xfc58929c, 0x6951c80a, 0x2a8fef8d, 0xcb439f53, 0x286c5c0a,
+    0x70cceff4, 0x3044d8ed, 0x5aa91456, 0xe12f8e04, 0xa856c64f, 0x1aa28dc1, 0x1025ec8a, 0xd7f250ac,
+    0x41dbd8a7, 0x1587e52f, 0x17f2e7de, 0x3e579e7a, 0x4100db55, 0x94e54c6b, 0x0d0ea4ee, 0x91124e10,
+    0xaddc6a9a, 0xcd63b810, 0x97b5c45e, 0xad7a176a, 0xdd32520c, 0xa7ce69d8, 0x0b1e68d7, 0x12d61367,
+    0x3bc791c6, 0x7744e501, 0x89397d35, 0x76785f94, 0xc8b5eb9c, 0x3124c43d, 0x5331e141, 0x74b55c95,
+    0x9ceb5d8b, 0xd5d7448e, 0xf81b646b, 0x89a9632f, 0xcb395871, 0xd9d82720, 0x93ed4833, 0x31deeb9d,
+    0x81a58fa9, 0x8b1f1375, 0x03fad6e4, 0x09125a88, 0xbeda7c2c, 0x6e5a9351, 0xa1305b0f, 0xdfbf437e,
+    0x9f7a2987, 0x1805dabb, 0x7f3d4d2a, 0x14214998, 0x73b5cec0, 0x20f875a6, 0xf7205913, 0x7e6f8624,
+    0x96bc224e, 0xf99f35db, 0x79445291, 0xd3a06877, 0x626cca61, 0x23c2829f, 0x000f55cd, 0xf10e7139,
+    0x79fc3fbf, 0xa3ffaf01, 0x28a03dd3, 0x96393950, 0x0bca1547, 0xa1a6b381, 0xe4648351, 0xb95fe454,
+    0x9e5211e6, 0x2404ebad, 0x4e6ca57b, 0xffc61519, 0x03f01fc0, 0x263f6cb2, 0xc4e93096, 0x8bb7a58e,
+    0x04a635d1, 0xb2f8cd7e, 0x3cf10637, 0xa018f8e4, 0x7f6e0e88, 0xb0e64fce, 0x7aa012b6, 0x7ba43edb,
+    0xc97ad800, 0xe6739242, 0x77df21fe, 0xd7a5e57a, 0xadbadf10, 0xba99bf66, 0xf5e4a213, 0xc27ca70f,
+    0x040b90c9, 0xd12ee7f0, 0xf609a1f6, 0xfd97e6a7, 0x59e07d47, 0x9778697e, 0x115c67f9, 0x87fc67d1,
+    0x6a2db4f3, 0x364c7915, 0xa3c32ba1, 0x943f0934, 0x82528881, 0xdc211eb4, 0xe41461e9, 0xc0e0cfab,
+    0x96df28ba, 0x15d65bdc, 0xdf8e895a, 0x0a8f6cdd, 0x09cd8835, 0x460513b0, 0xbb00526e, 0x7661d531,
+    0x3b0f2fff, 0xe78654f7, 0xc38cc4ba, 0x38625c77, 0xe93770bc, 0x0a873bdf, 0x9ceb7786, 0x456d3e88,
+    0xd45c09d1, 0xfe71137f, 0xaa4034ec, 0x4baea47b, 0xbfa4c13d, 0x68df6726, 0x17cfef3d, 0x364340fe,
+    0xf8f3e7a6, 0x078260b5, 0x59313858, 0xf0fc5ac5, 0xe4302bc6, 0xe2b22891, 0x43ac8858, 0x13221cee,
+    0x71945a2c, 0x3856a699, 0x8298e0ab, 0x03f97db4, 0xfb8ed2d0, 0x49df24b2, 0x9351afc1, 0xa4d35f22,
+    0x48405277, 0x2e8f0f2e, 0x4b6e04bb, 0xb8541282, 0xc28323bc, 0xcf8e9d46, 0xc450e288, 0x43567383,
+    0x466cc893, 0x2141b4d9, 0x7072e5d0, 0x676f7a03, 0xc01cef50, 0x4bcb5a3f, 0x6e41660c, 0x877ef6f3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000001208925819614629174706176 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a37, 0x15fc9256,
+    0x00000000,
+    0xf3d1a46f, 0x1dbb0d24, 0xa94dc517, 0x1208223c, 0xa4e38924, 0x7b3c2f4a, 0x8b53c85a, 0xb201ddb1,
+    0x6f5f8328, 0xecb11ad0, 0xd7260dfe, 0x6575b51c, 0xb593ea3a, 0x64ec1575, 0xed0f02b0, 0x7f2cacdb,
+    0xec1a0f56, 0x17e0360d, 0xe35f2d70, 0xd2e1bbf3, 0xee6a018a, 0xf39dfaed, 0x07bd166e, 0xfcc1de1a,
+    0xd5681371, 0x00a014c7, 0xeb9a447d, 0x3c1f9215, 0xa02da992, 0x9af10f1a, 0x48764b01, 0xcd50a5a8,
+    0x95dc2ec5, 0x3c28e505, 0x24eecfb5, 0x9cff2c90, 0xfb096b1f, 0xe8ac6f00, 0xd5ef2401, 0xcca157da,
+    0xf01746c0, 0x4f450943, 0xb9d775a7, 0x5edc6ac5, 0xe600969f, 0xdc6d2208, 0x15ef8d47, 0xba9e1b0f,
+    0x5a216e75, 0xf69020a0, 0xb5a423d1, 0xc985e665, 0x10ef4988, 0x2aa59fc2, 0xca69824b, 0x8b205ebd,
+    0xb5b91659, 0x2f34efa0, 0x868b648f, 0xcf1240f0, 0x3e0cd426, 0xbfdd2293, 0x887ad034, 0x4fe4ad3d,
+    0xad6b9bae, 0x54561476, 0xee23de59, 0x32da7427, 0x175e5b2d, 0xb00a5c76, 0x02b9e3d7, 0xc1ea374b,
+    0x9efc8203, 0x958adfb8, 0x45dc305d, 0x79c63ed5, 0x54734bb5, 0xf3d22de6, 0x9daddf7a, 0x64c6c204,
+    0xfb1bd88f, 0x0fad3a86, 0xf6cabd1f, 0xe4b56d14, 0x5d5e1f99, 0xc457b31c, 0xdc1c2d72, 0x654972c1,
+    0xd1085745, 0x334d5587, 0xae93dc56, 0x0060da08, 0xc4e5c457, 0x8b02f0bf, 0x53565141, 0x809097ae,
+    0x6e48bb2c, 0xbee7fbb7, 0xbb9e5899, 0xcf44c4bd, 0xa25a66b1, 0xe71720ec, 0x3707ae31, 0x1c4362bc,
+    0x2d114799, 0xbef45ad8, 0x95d40c73, 0x7994eb8d, 0xdc574673, 0x459c41be, 0xc66164e2, 0x0181d830,
+    0xf4ee8250, 0x987c0d12, 0xae184e12, 0xefcf7fc1, 0x609c7c3e, 0x3e71e616, 0x5d40f5f9, 0xfe29a560,
+    0xb042b6d9, 0x457d9079, 0xb65b0ede, 0x74e72675, 0x4dcb59da, 0xe4ffe07b, 0x54ce0df1, 0x09866588,
+    0x271487b1, 0x42c63b23, 0x454150ce, 0xaa0336a7, 0x7f87d2b2, 0x62c2ea92, 0x10b4b334, 0x00c638f1,
+    0xe4eb6527, 0x228dfa2f, 0x91b23a1b, 0x736db475, 0x9fa29cec, 0x606c5358, 0x73eef34a, 0x7bf76ecd,
+    0x32a331d9, 0xb301c112, 0x232f1dc8, 0xb808b349, 0xc0f7aa53, 0x365564c2, 0x3e2ece8e, 0xf4c16d4b,
+    0x1f8ac2d4, 0x15ae6f6a, 0x275268f7, 0x03e0785a, 0x11939eef, 0x48e87c64, 0xf0e650b1, 0x54a28f56,
+    0x4a8bace0, 0x919c2429, 0x27880f76, 0xdbfb17ba, 0xfc1a92de, 0x1f7194ba, 0x1fe3dde7, 0xa958bb7a,
+    0xd63dc534, 0x2cfb49a6, 0x7b5ebdfa, 0x69dc7867, 0xfdaabd24, 0xa9a37141, 0x6a97611d, 0x2748fb20,
+    0xb17cf885, 0x791accdb, 0xac286cb6, 0xf446e587, 0x3245ea75, 0x20b99100, 0xdf2432c1, 0x47745e84,
+    0x3b6126e8, 0x6e2dc90b, 0xe33e991e, 0x71bf4256, 0x3395c8f4, 0x05517375, 0x74bc675d, 0xaccf6ee4,
+    0x7f3b34b4, 0xf224de3d, 0x9e4d4326, 0xd79f11d8, 0xc26c2784, 0x0d21e218, 0xb0f8f3b8, 0x1a936603,
+    0xdf5b82e3, 0x4636423f, 0x9b720165, 0x492b135f, 0x53391978, 0x467a2ab0, 0x8b2a9bba, 0xa70bce90,
+    0x2533324f, 0x3477a0d6, 0xd6ad3c7e, 0x3b41f890, 0xed2de5d7, 0x767da318, 0x99c358d0, 0x79969323,
+    0xd17a9a03, 0x74b1c8bf, 0x047c9e0c, 0x132889c7, 0x76b10e17, 0xb44cbba0, 0x4d168a54, 0x834772a8,
+    0x3f9ecb5b, 0x7a2522fa, 0xfec7c440, 0x3d424f0a, 0x21db11e8, 0x4928874a, 0x5b335afc, 0x8d60b0c6,
+    0x320f6062, 0x07ae9dc2, 0x4d000942, 0x016dc984, 0x659ec59c, 0x94aed261, 0xef2ffe50, 0xde76061b,
+    0xa2a72feb, 0x909f0a7b, 0xdf8e237a, 0xe4761a91, 0x1d64cb6f, 0x38c10961, 0x1af52611, 0xc19a13c2,
+    0x7054841c, 0x45194421, 0x3d71b5a2, 0xd5648f34, 0x567f9230, 0x26e0ffb3, 0xc180f174, 0xb085f04a,
+    0xd5f75ce8, 0x62d15e73, 0xcfdbfed9, 0x2eb1f934, 0xe7ac937c, 0x3cc70d22, 0xa51b3624, 0x7d1fbb15,
+    0x97a839ed, 0x1e9739f5, 0x6f94db20, 0x0a745c22, 0x1459f8e7, 0xed5bfcf1, 0xdef5ac6b, 0xcea5d93b,
+    0x73eb92f4, 0x00642bc0, 0x47fecfbd, 0x4293ee51, 0x76cbe24f, 0xd7332617, 0x1c58f64b, 0x2fb5e419,
+    0x580c52d3, 0x0997d702, 0xcdfad2b4, 0x1a06d82e, 0x07b05686, 0xfc807bb6, 0x117c77f8, 0x50896f99,
+    0x42694ab2, 0x538da222, 0x51a438d5, 0xc4f39404, 0x0c16defd, 0x11cf38e8, 0x510e951b, 0xafa374d9,
+    0xc7a85233, 0xd1e8a11d, 0x25916a3c, 0xb020eee3, 0x98245c8f, 0xe14dc8db, 0xa6fdcd93, 0x9abcebdf,
+    0xbb4f9f0a, 0x9ed9ab01, 0x599417cd, 0xa11f1e56, 0x3fd66364, 0x0a58a12c, 0x747ccf76, 0xd54c5051,
+    0x7a9b61b9, 0x7f9da443, 0xc0572514, 0xde55d7d6, 0x78e64112, 0x14e294ef, 0xb451d0d2, 0x9249eb0c,
+    0xebf20477, 0xc1792f74, 0xac252699, 0xd78dd73b, 0x0ef9c433, 0x4bcd3518, 0x31f07f9f, 0x7dac1635,
+    0xa6ecbf90, 0x7be775ea, 0x0b6e9ff5, 0xb74efe78, 0x118bccdd, 0x6cf4ea6b, 0xeb8821d1, 0xf8d8ec8c,
+    0xa13714c3, 0xd265d7bc, 0x75d74f85, 0x1274f22b, 0xeb695f57, 0xd79f5006, 0x7907c50a, 0xb83675fa,
+    0xff626deb, 0xbf157af9, 0x743b4702, 0x36bc892c, 0x1eb63227, 0x89d46fb1, 0x2da6b03f, 0xe6a1f141,
+    0x2a1e9c6e, 0x265a4338, 0x4e9818f0, 0xe0c618ed, 0xfe432c25, 0x83152019, 0x94eb7a30, 0x7c0cc61b,
+    0x13275d85, 0x50ff6433, 0x04350160, 0xc0534841, 0x5550a3cf, 0x1721c760, 0x12271eda, 0x1461b917,
+    0x4a1a197e, 0xdc74c575, 0x83a1ed2f, 0x9f3b6c9f, 0xc9805f53, 0x5ddc29b1, 0x1407edb3, 0x74fa6544,
+    0x2ccfb0a2, 0x7de0f6e5, 0x8ba395a2, 0xbf04a7a3, 0x72054794, 0x823dcd31, 0xf64dbf8b, 0xc81c4908,
+    0x6e25ece4, 0x524d2a64, 0xcb5bee1b, 0x058c662c, 0x450049ba, 0x67e8eda9, 0x016494ca, 0x0e9586a3,
+    0xf8def3af, 0x2c69bbae, 0x858b3c61, 0x4d8787fa, 0xfee98c90, 0x6054c86d, 0xfbad85f0, 0x98c3c2d2,
+    0xf8aa0322, 0x7de2e000, 0x0723730b, 0xcb667086, 0x80d2df44, 0x1eb4df73, 0x095f299c, 0xfcf77ce7,
+    0x3d8aa849, 0x8cfceb74, 0x6ccf568b, 0xc5e3873e, 0x5880624a, 0xfed726f2, 0x5c799e18, 0xf4b0b4ba,
+    0xea13f8ce, 0xd6f0323b, 0xc4d7b801, 0x4079f843, 0x20acdc98, 0xd7d08b2d, 0xb4bc237a, 0xb84df5f7,
+    0x1255cb92, 0x45a8150c, 0xd4e3fa56, 0x3fc276a4, 0x872c806b, 0x5ed07fc3, 0xbdab44ee, 0x17d1f8fe,
+    0xe60bcf52, 0x797313b6, 0x4caacee7, 0x69a74596, 0x12f2642d, 0x05545f08, 0x1bb4622c, 0x26e842fa,
+    0xc8a8418e, 0xabd190ad, 0xe890ba62, 0xaf05f196, 0xbdb5ec4b, 0x7debeefd, 0x5bac4662, 0x97f057e1,
+    0xe3b46b22, 0xa3499107, 0x2544ca2d, 0x7aa32284, 0x6deefed2, 0x9e841cf7, 0x8f04052a, 0xcdf84a85,
+    0xeffb5fb9, 0xf42022cb, 0x0ab43f0b, 0xcd0dcf4d, 0xe2d85adb, 0xe5fe8014, 0x2c9000ab, 0xb4346137,
+    0x095edb4c, 0x320a72c1, 0xc7000ef6, 0xc39ff986, 0xe0a8a31b, 0x337170c1, 0x4872d0c2, 0x71b48c1b,
+    0x6857f133, 0xda36f3be, 0xb0575376, 0x0868426e, 0xbeb5d844, 0xb194748d, 0x16d656ad, 0xbc48bfc0,
+    0x30d6b75a, 0xe7c155d3, 0x21f43ffc, 0x57fc428e, 0x9311b6ae, 0xdcfbba80, 0x23c55991, 0xf7f410b5,
+    0x8a30715d, 0x8ef0c802, 0x2fe21fb7, 0x63b21f8b, 0x6a857268, 0x7f423d54, 0xee7db22f, 0xb8b68cb3,
+    0xbe3f3fea, 0xe40caab6, 0x5b6766f1, 0x1d4c4ce3, 0xf93f50f8, 0x7debfeaa, 0xd6c1e3e7, 0x16929431,
+    0x9b7f806b, 0x1e8b97e9, 0x182ca590, 0x505ce8f4, 0x5d5eefd8, 0x727eacf8, 0x5b0a529e, 0xd98fc27a,
+    0xeecd1d8d, 0xa6d60763, 0xc56d2632, 0xdaa4172a, 0x47e0fade, 0xff20c177, 0x0d058431, 0xd4a0e24d,
+    0xdd84502a, 0x5889d64c, 0xb23ee803, 0x966daf58, 0xf24a7e9a, 0x249d2320, 0xc16761d7, 0x56e0fd8c,
+    0x5edb5c5e, 0x93c97fa9, 0xa45ff3b6, 0x04adcb8c, 0xdb59cc00, 0x397e1be8, 0x3d6a037d, 0xd78f13b4,
+    0xb05b9dc0, 0x66e314d7, 0x103ebea8, 0x6d2edb73, 0xc848e672, 0xfba8c83e, 0x49df97ec, 0xdb61accc,
+    0xddc23ad4, 0x67101ed1, 0x43cb63af, 0xe18d66a7, 0x10b3dfe7, 0xa36f6735, 0xc720f659, 0x1da4cd8f,
+    0xf69cd86c, 0x7a36b800, 0x0502f432, 0xd07e8dae, 0xa107b607, 0xd0943b8c, 0x54cd0367, 0x1aead3c8,
+    0x464d6c7a, 0x26525f68, 0xf8252229, 0x3111b413, 0xebfddcdd, 0x50459a6d, 0x77aad3d5, 0x4741f62c,
+    0xd3f6c073, 0xad3ee4d7, 0x1582e853, 0x4b290322, 0x00cc90e2, 0x930e1c49, 0xc4e2d6fa, 0x0b76fdd0,
+    0xba7d4a0e, 0xdeb2b79e, 0xf0806a27, 0x3ee9511d, 0x21afacdf, 0xc7f3eba2, 0x615630ac, 0x9cae9211,
+    0x25401235, 0x3803cb6a, 0x9fe6040d, 0x1e9c5397, 0xe405a806, 0x572634d7, 0x65d6fdd1, 0xbb651d97,
+    0xc97c2081, 0xe5736257, 0x7698256f, 0xe20e14ba, 0x96392e07, 0xde8bea93, 0x7b029442, 0x4338000e,
+    0xe1c7824b, 0xdbd897c1, 0xabe141b3, 0xfd609ace, 0x8982a77e, 0x35d01a61, 0x83f97108, 0x7f1bfa08,
+    0x86ac278a, 0x552f749e, 0xb700dbd2, 0xd59e2ea9, 0xe841fc76, 0xdea9a6eb, 0xf17c6a86, 0x414fcd18,
+    0x7c8f9099, 0x2ecf7ea5, 0x0c00a841, 0xbbff7bc6, 0x89b4bf39, 0xa5a4e731, 0x046b3ed0, 0x8ba18099,
+    0x2a29fbd1, 0xa28a332c, 0x0568c700, 0x621c7416, 0xf4a0a271, 0x584a19ff, 0x72e983ab, 0xa08e3b7b,
+    0x4af94ae8, 0x76735ee0, 0x25d7445b, 0xf85cf31f, 0xcef1dce8, 0x84b845d8, 0xf3b69299, 0xfbf80197,
+    0x5306f961, 0xb03a3634, 0x0ab7334a, 0xf6d3edc2, 0x47f3ddb0, 0xbb496283, 0x4ddf655c, 0xaeea4c30,
+    0x50fa2ffd, 0xcf9c6584, 0x189ee150, 0xdb367f1c, 0xc3ae00bf, 0x34dc59be, 0x0388aa9f, 0x108a9d60,
+    0x0d6c8863, 0xf4b69c4f, 0x4160e1fc, 0x905ea44a, 0x1c56117f, 0x20fb8ded, 0xcc4dbffe, 0x7159cec2,
+    0x266212b6, 0x4a1b8b83, 0x17871119, 0x81b60aec, 0x06cc1cd4, 0x3e1296f7, 0x79c93658, 0x5b06dc13,
+    0x2e6f0f8e, 0xc88b2ebc, 0xafbcc79b, 0x97e4d4af, 0x66acfb77, 0x1d0a201a, 0x7904b514, 0x189261f7,
+    0x6ff6b866, 0xa83094ac, 0x76485c93, 0xde73fda5, 0x0635436b, 0xf6ddd9c4, 0x16e5a5c5, 0x72e6a462,
+    0x1a09fd7e, 0xcba51f7d, 0x1d7f913f, 0x6159ddd5, 0xd9c02eb0, 0x4b122d51, 0x32ad9e8d, 0x02f9bda7,
+    0xe193c6f6, 0xed7dc4c1, 0xc9b07d58, 0x49bc537c, 0xb7404e1a, 0xe27d2394, 0xdd123085, 0x0ee18a9d,
+    0x86485a35, 0x94be46a5, 0xf318741e, 0xa07bde14, 0x29f07d2c, 0xc61371c5, 0xa742606e, 0x69c0de13,
+    0x702d11a8, 0x3abb630d, 0xf7b7ca7f, 0xd3438bce, 0x48adb477, 0xb803bafc, 0xd08ab791, 0x182756a5,
+    0xfae63a3c, 0x600a0ad3, 0xdb243de6, 0xfd5dc610, 0xc8b0c7a9, 0xa735ed97, 0x531074e8, 0x25e92591,
+    0xa97c048e, 0xdd359dc4, 0xd63181d7, 0x02540f89, 0x7c305b61, 0x5d4919d6, 0x9742beb8, 0x5207c1fa,
+    0x99467f72, 0x1d76d6e6, 0xe6a27a91, 0x5e34fb6f, 0x7ac37fc8, 0x4ccf2bbd, 0xb110a29d, 0x2c9e45ba,
+    0x1303d450, 0x3c23d583, 0xf88c6bc3, 0x8e505614, 0xac9cbae5, 0x36b8e9e0, 0x407e7d28, 0x405fb6b9,
+    0x58c80de3, 0x20aa810f, 0x3b24c6a4, 0x8d5c9885, 0x008fc939, 0x4a9dbef4, 0x794849e1, 0x4280ec41,
+    0x0312623c, 0xf5440119, 0xf027bd19, 0xfc2d25cf, 0x391dfb05, 0xb83f879c, 0x099bdbe1, 0x28903b3c,
+    0x9e53d77e, 0xdc6906c2, 0x13d0c4be, 0x87b88388, 0xe4b71ee6, 0x7131d255, 0x5ec37df3, 0x1ee4810a,
+    0x66c0f7a2, 0x78a045e0, 0x198d3f7f, 0xcde417a8, 0x8ac693ce, 0x057746fa, 0x14174a80, 0x1bb576c8,
+    0xe908038f, 0xdcdaf66b, 0x87fd81fc, 0x92a3bbc5, 0x3287773d, 0xb744d662, 0xbcefd56e, 0xfba396ed,
+    0x526fd93f, 0xa5fc0c95, 0xed32738d, 0x1bc6ccd1, 0x614a8d23, 0x456f2804, 0x2d24773b, 0x4008b3e0,
+    0xe362e181, 0x29b23dea, 0x856e181a, 0x8b042d77, 0x07df6ae6, 0x42a3b5ce, 0x60a573e8, 0x8b08e312,
+    0x9cbea016, 0x9a399d4b, 0x278510b5, 0x1d983be4, 0xaf1ecf3e, 0xdcbaf3b6, 0x310eadc5, 0x51e649bc,
+    0x0b01d755, 0x98141740, 0x56dd67d0, 0x779c22de, 0xb1f0dc68, 0x43bff710, 0x0660e1df, 0x63465ea2,
+    0x702f0753, 0x6cb951ff, 0xe9ba0c2f, 0x9f426bc9, 0x0482e11b, 0x4015f439, 0x1ad79727, 0xc0f7d110,
+    0xb01ebb15, 0x2c543534, 0xd2459d49, 0xf8fb3147, 0xe836d3b4, 0xf2de3039, 0x4f37e21f, 0xbd33275a,
+    0x99067fe3, 0x8a02df38, 0xc0efdc25, 0x3d66390e, 0x72c4e780, 0x1c15625a, 0x9c9f7b14, 0xc9bb78bc,
+    0x86726209, 0x4bdc2457, 0xe20704bd, 0x4f86a190, 0xab5504d6, 0xd7aa458e, 0xc7057cdf, 0xdcccede0,
+    0x7d7a5780, 0xf8c1aff2, 0x3f69c583, 0xca1029ca, 0xdc53000b, 0xde8a7b01, 0xdacedebf, 0x6dc55db2,
+    0x95d37fa3, 0x7ec6cf4c, 0x1494cba7, 0x0c81a0d4, 0xbcb0bdaa, 0xbd4ad44b, 0xabeb23a6, 0x672d3fc2,
+    0x888eeb4c, 0xdea03967, 0xcb38207b, 0xf61d1d5f, 0xe07700e8, 0x44e5bcc0, 0x75cebfe9, 0x642c011a,
+    0x32778b71, 0xf8c17907, 0x1df68784, 0x544105f4, 0x7b71065a, 0x8265f488, 0x6bf6e570, 0xe0d37404,
+    0x1b3460ae, 0x254b1f43, 0xb399ddb8, 0xb8792e6c, 0x348b01d0, 0xc33d83bd, 0x0527b1ed, 0x8a3094e8,
+    0xc366f8da, 0x1c25e293, 0xb85aa1d9, 0xd99127ec, 0x00fd95a4, 0xd0195c7b, 0x767f5ffe, 0x868f7473,
+    0x0a94355b, 0xda45fb12, 0xdc732092, 0x2f6c7e4b, 0xfa1c899d, 0x6086adb7, 0xc903b171, 0x0bca1339,
+    0x285dd6fd, 0x8adbb052, 0x2f062063, 0xb1e9017f, 0xb3565788, 0x33f530d5, 0x5034fa8d, 0x1fa87a7b,
+    0x95dbe8ba, 0x1391febc, 0x741c895a, 0xbdbcd370, 0x224f2a4b, 0x2556b3d0, 0x4db51c7c, 0x89b98f34,
+    0x83a4dd56, 0x01ea53ec, 0x7c800aa4, 0x5da5c441, 0xb15fea52, 0xd3979edf, 0x10bcb575, 0xc914b620,
+    0x4160d248, 0xf8c35b19, 0x2320e696, 0xf4aa854a, 0x53db1ad6, 0x62a70709, 0x4b907f32, 0xd1d6e6fe,
+    0xbd7b1660, 0xe0668074, 0x76ca2ad8, 0xd91d9b8a, 0x41ea3ac2, 0x17621f86, 0xa37ef593, 0x96845343,
+    0x37c3618f, 0x29d76f34, 0x4cc95eb0, 0x778dfeee, 0x1751d93a, 0x58d43935, 0x5f87b2c9, 0x03556536,
+    0x9ece3f8b, 0xd6790991, 0xf868ecdf, 0x77a70b24, 0xf43f19ce, 0x444d25b3, 0x99bec893, 0xe88fea82,
+    0x25c6289d, 0x17cd8345, 0xade57071, 0xbd287d69, 0x13264ddb, 0x6c993e59, 0xc0e4bd09, 0x527ba030,
+    0xb47d60bd, 0xb44df495, 0x69c71f1b, 0x9aee9655, 0xde3ad759, 0x794bb385, 0xe724d2fe, 0x21d9a506,
+    0xd1ff1658, 0x2c0ebfd2, 0xd83c06ce, 0x6ef5b17b, 0x14fad4f4, 0x6f055848, 0x063c4d1f, 0x1c3224a2,
+    0x2f2b9da0, 0x4c4f9180, 0xbbce2059, 0xe465110c, 0x24c93c16, 0x393a523d, 0x26bd631b, 0x0be31fd0,
+    0x06afb42e, 0xa6ac1e36, 0x6ba66752, 0xee39bb0f, 0x9b472e7f, 0x5e5e152c, 0x1c266a46, 0x768aa09e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000604462909807314587353088 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1b, 0x8afe492a,
+    0x00000000,
+    0xf9d5d1a7, 0xdf72fc55, 0x30908203, 0xbe1639fe, 0xd69c7b5a, 0x8eba0a9a, 0xe312bc8b, 0x317b26e8,
+    0xbe93fee3, 0x84a50dff, 0x8a1fd2d0, 0x54c0fb30, 0x947384bc, 0x4e85dabb, 0x5731578a, 0x51f97b0d,
+    0x86c7b8de, 0xb354614e, 0xbacb0234, 0xd546ecd5, 0x59cbef72, 0xddad2578, 0xc8267bd5, 0x3c8f06cd,
+    0x6c2d4553, 0xa737c126, 0xe6cba37d, 0xd89ef39d, 0x87ab7b90, 0xfc33dbe3, 0x4211a452, 0x252bf72f,
+    0x55cee208, 0x1f11afcd, 0xf7ab2583, 0x14754d69, 0x21f376f4, 0xd361b7a2, 0x53839ca5, 0xac6ab28b,
+    0x839a641b, 0x7fbc6dac, 0x978dcad7, 0x3f2fc213, 0x945f09d0, 0x0a0e2001, 0x92b2c5cf, 0x8841868d,
+    0x7dbbc68f, 0x3c121464, 0x3b17221c, 0x997b9e96, 0x408db202, 0xd86f7d36, 0xad064491, 0x401789d8,
+    0xaeafd6d4, 0x7325076c, 0xcd4c8f5d, 0xa222c6ed, 0xfa1fdb12, 0x496bde33, 0x31b1486c, 0xe5a0974c,
+    0x2a66254d, 0xfe814c3c, 0x120131f5, 0x71ffe826, 0x98382a21, 0x3cf06e61, 0x6a4c43b4, 0x25ca859f,
+    0xc9c27e6b, 0x307e31bc, 0x967d3b56, 0x0e6d5291, 0x4e295304, 0x9c199806, 0x7459fb6c, 0x5e178908,
+    0x3aee6120, 0x7cfd95a4, 0x824da64e, 0xd4d3b229, 0x31a65962, 0x8d79f6b7, 0x76bdf800, 0x451fadb9,
+    0x4798adaf, 0xaa531b36, 0x1881d835, 0xf1e69d60, 0x79f2ac83, 0x89fceeb6, 0x0646c11f, 0x0be903e0,
+    0x3c293efd, 0x4ddce930, 0xd24f374c, 0xf8114d0d, 0xbc8b1a85, 0xdf084e4f, 0xf89e74f6, 0x0ad49a11,
+    0xe28df3b7, 0xb09c5c23, 0xa255d862, 0x9c8e6718, 0xf2e2afa0, 0x2a48a973, 0x0009ccc5, 0x68991a5e,
+    0x644ecf52, 0x5eed8dba, 0x33c51fa3, 0x7c743220, 0x0784a459, 0xdb1e7ad9, 0xcf36923c, 0xb7b688c3,
+    0xcae27c34, 0x711dafc5, 0xd0e353bc, 0x4269839c, 0xe86bff77, 0x1e99e9ec, 0xfd48713b, 0x05b1ac37,
+    0x52949330, 0x85de7961, 0xcf3d04a3, 0xddcd1a14, 0xa1ca087e, 0x2ea0855f, 0x1efb631e, 0xe8a0752b,
+    0x2a061749, 0x9752f67e, 0x67c4d9bf, 0x9a311445, 0x1c3cf22b, 0x874e29fb, 0x55472615, 0x01a51536,
+    0x59883c7e, 0x9039e8f2, 0x4344cbbe, 0x932eb1fe, 0xd3bd61fc, 0x400053e1, 0xd5cd7687, 0x9c3c0a02,
+    0x9f6914e6, 0x133a180b, 0x501637be, 0x571cbf5b, 0x5af4946e, 0x593ec147, 0xf3965a1b, 0x3a180836,
+    0x17bb0717, 0x09778e42, 0x11b18d3e, 0x8e511df7, 0xec7faf5a, 0x13ba24f1, 0x617db15e, 0x12c087f3,
+    0x85d12a31, 0x4f37a158, 0x1fddec2c, 0xc01f309b, 0xd0cccb2b, 0x68c0c864, 0xe01153e4, 0x390bdd72,
+    0x46206e5b, 0x8ee3053d, 0x2c899ecc, 0x652bcf3f, 0xc3b21770, 0x323ed22f, 0x6db07c5f, 0xc459d3df,
+    0x4ea402e0, 0x6cdfcab0, 0x671a9ac3, 0x175ceca6, 0x607e3aad, 0xc7ee0599, 0xdf7d110b, 0x502c7369,
+    0x8fad2197, 0x68573bd8, 0x8c628c4a, 0x682d2523, 0x18243f7f, 0x891eb906, 0x2059039e, 0x1bdee782,
+    0xb226b88d, 0x9f93358a, 0x3476b3b9, 0xf25d0227, 0x0919183e, 0xdfd03d7b, 0x335553e4, 0x621cee3c,
+    0x8a5d8b65, 0xf5d4065d, 0x203d9dd7, 0x07308b47, 0x91c0a6d5, 0x9fff920a, 0x266584c1, 0x3616fff9,
+    0xaaba001a, 0xbc31377b, 0xcd804063, 0x3162095a, 0x881d1faa, 0x9fa4617e, 0x5fb6ec1e, 0x25e3ffbc,
+    0xd81e571d, 0xa7a9a22c, 0xe497eb64, 0xd13a251e, 0x7109c89b, 0xbf2b6e59, 0x3cc38327, 0x474b4efe,
+    0xf2b2117e, 0x96e5d09d, 0xc679c4ad, 0xf44ddf08, 0xac3c2c6a, 0x76f54167, 0x31507bea, 0x23dd57bc,
+    0x9323393f, 0xc2ebb797, 0x20fd0b97, 0x2d57f107, 0xf6bb1414, 0x4fd93f69, 0x11f44378, 0x929c4929,
+    0x4313ccbc, 0x68f7a44d, 0xc8114d55, 0x740b41de, 0x47d1359c, 0x1c3fca4b, 0x3554badf, 0x9451c59a,
+    0x0da90ee4, 0x674e3bd3, 0xf0d1a4ce, 0x08ab7609, 0x78f62b80, 0xaafa6761, 0x5eb39c8d, 0xd7a31be0,
+    0xc7c7355e, 0x2d9fd1f1, 0xa7071686, 0xc0bdfc4d, 0xaa552f55, 0xe399ea8a, 0x72d76b22, 0x9868bbde,
+    0x359d8561, 0x3ee99f07, 0xf97c0914, 0xe8adadbc, 0x1684fbe2, 0x1ee8c715, 0x2770f487, 0x94e47b31,
+    0xdcb4a51f, 0x8b00264e, 0xdbf1e1d4, 0x6d6499ac, 0x5701b0c4, 0xdf414769, 0x15518fb3, 0x640c5be3,
+    0xec274e46, 0x52f11ee0, 0xa0cb51bf, 0xd73e2f41, 0x3a8770da, 0x387d4007, 0xbc908269, 0x2f4846b1,
+    0xb50a62d5, 0xfaef1796, 0xc91f7180, 0xb4405a08, 0x656bb0e6, 0xb933c029, 0xa0a07318, 0x90a72830,
+    0x3c8ce4f7, 0xd20d627f, 0xc60f200a, 0x82c7037f, 0x499685d4, 0x5431894a, 0x7656f2ea, 0xe2051c5a,
+    0x59c7cc77, 0xbbc7f393, 0xddc8c4ae, 0x1a520f4f, 0x71e6bb46, 0xb1d16f1f, 0x8e4d7566, 0x7bccce46,
+    0x9dfa628a, 0x0c105377, 0x42d2e4b2, 0xbed6917f, 0xbcc6c72a, 0x215a955c, 0xcafdb59c, 0x4b4135f4,
+    0x53a8bab2, 0xa12155c0, 0xb9c588fd, 0x95b7bf64, 0x7255f455, 0xb459075c, 0x752bccab, 0x9471545d,
+    0x092851b9, 0x4d25cbe5, 0xeee8f6d9, 0xf7246054, 0x6cbbc128, 0x3363c933, 0x30419656, 0x626b4cd7,
+    0x34dea46f, 0xc7b39501, 0xf6c50789, 0x46819511, 0x2a39d476, 0x46acf103, 0xae5129cb, 0x0a626b34,
+    0x33996784, 0x093f843a, 0xf90065b7, 0x3c56ecb2, 0x490e619b, 0x76d835af, 0xb05a818b, 0xfd6e057e,
+    0xcb445354, 0x9bbc32f1, 0xab0cd4dc, 0xc8ad7fb2, 0x8138815f, 0x370a3bca, 0xb45db94c, 0xdc53d9fc,
+    0xc89f63fe, 0x56bc7903, 0xa40e5f51, 0x0d009d61, 0x7b98515d, 0x308d9107, 0x39666e4d, 0x25ac562b,
+    0x99fcc86b, 0x807e62ad, 0xeec57e96, 0xadeb13ea, 0xf254eddc, 0xc1ad0629, 0x0ae2defc, 0xb721ffd0,
+    0x04318f3a, 0xe0bb9dbc, 0x81e08351, 0xe63a58a5, 0xac3d5edb, 0x8d2fef59, 0xab2e1dea, 0xc8af6e27,
+    0x76447dc3, 0xc5385eeb, 0xc3fe1cd8, 0x7eeb8c48, 0xf9b0333b, 0x21047ec1, 0x4e980a17, 0x934e383a,
+    0x5037c61e, 0xf8ccdc5e, 0x82813862, 0xea9e7207, 0x3ecf36a5, 0x275553da, 0x932bd912, 0xf639f331,
+    0x75f96cbb, 0x3d0abd2d, 0x5276f762, 0xebc92301, 0xe36a9de9, 0x2ce44e8b, 0x87f2706a, 0xa628210d,
+    0x0c9293a8, 0xbd1cc3b0, 0xbbadbc06, 0x29286a05, 0x483c7e9c, 0xa2f998ec, 0x1575aa7a, 0xfd17efc0,
+    0x5c751334, 0x72fb6000, 0x90195d3c, 0x8bbfd404, 0xd674d74b, 0xf7957106, 0x8f3a1a97, 0xd9464586,
+    0x30298a53, 0x2a52e12a, 0xcf9867ea, 0x4d7dbcba, 0x39cc663e, 0x17b22cb1, 0x9dd730fd, 0xd750bc47,
+    0x9604209b, 0xc4cf26dd, 0xf5c878e4, 0x9cc42ade, 0xd7b80f38, 0x8adb5047, 0xa7389f59, 0xa3b92d03,
+    0x3cef2e00, 0xbb0670a0, 0xe89cd571, 0x45948bc1, 0xf602002d, 0x4b5db54b, 0x8983f333, 0x0995f150,
+    0x2c4cf590, 0x2f9b9d39, 0x8335db3a, 0x7b414b25, 0x19852216, 0x3e474bab, 0xf9c5b76f, 0x4b39097d,
+    0xf6934ca6, 0xeba94be9, 0x209f90c8, 0x04e80a9a, 0x12e8697e, 0x440203cd, 0x76000a17, 0xa6971909,
+    0x1eed1746, 0xc88ce661, 0x4386bf7d, 0xa8af1206, 0x99681a9c, 0x254aee84, 0x78a50923, 0x48d2c70d,
+    0x56cfee31, 0x2fb15cf8, 0x47f6bf46, 0x534515fd, 0xb0c5fdeb, 0xb158eed5, 0xf8a04fe4, 0xeade1c9e,
+    0x37cfdcde, 0x4da90918, 0x829193a3, 0x670746e3, 0xa4d35c9d, 0x2bdbae4f, 0x3fd7a9dd, 0x0d7ac2ac,
+    0x74359ad7, 0x3078f3d9, 0x4bbba198, 0x56709e30, 0xa283b408, 0x418d59f4, 0x2fec4140, 0x3a09b649,
+    0x6e01e0dd, 0xe748f561, 0x000d632d, 0xd77fb8e2, 0x036d0aef, 0xaa2894cd, 0x8b14dce9, 0x822ceb8b,
+    0x59c9aecf, 0x66ecd906, 0x45d8a63e, 0x90bf2465, 0x7b7073cb, 0x4702765d, 0x9cd4bdc6, 0xe72fa0f0,
+    0xc8a51729, 0x30908b6d, 0xc47ec968, 0x946b3426, 0xacc57f78, 0x23fe3190, 0xaf595c1f, 0x54e786b3,
+    0x1b8a17f0, 0x993fb2ae, 0x08405ed3, 0x372faffc, 0xbd35c154, 0x54fe351b, 0x1485d0d6, 0x64510c6c,
+    0x9371c1b7, 0x77bf1f24, 0x774a7da9, 0x8e4107d1, 0x37d51295, 0xe58e48c6, 0x79c4cb80, 0xddd2c4ae,
+    0xa58cfa4a, 0x3dbf3aa0, 0x94785915, 0xf39d64f3, 0x4583372f, 0xabf4da67, 0x9a7dbb45, 0x0961f86e,
+    0x0f45c974, 0x9926a8be, 0xc449a99e, 0x9b64cd34, 0x4a011542, 0x2fa4709b, 0x36a1ae6a, 0x9aa256f6,
+    0xfd893f65, 0xd73f064e, 0x6b4dd7c2, 0x7e770b10, 0x49067457, 0x215d8444, 0x25886b2a, 0xd107ba8e,
+    0xcb634cc9, 0xab6d71f9, 0x5a7427f7, 0x341429fc, 0x36ab3c95, 0xb4675673, 0xd719ef3c, 0x0d9b9332,
+    0xaa078855, 0xcf3bfb53, 0xe4e47592, 0x1bf8e5ce, 0xb796d0d9, 0x6a6c506c, 0x65a89477, 0x8aaf786c,
+    0x07a79698, 0x14ada651, 0x3903d09d, 0x9aec9716, 0x5568a248, 0x029c63a9, 0x9bc3c60d, 0x73db6af1,
+    0x4b2e89d2, 0xaf6314f5, 0xe5f532a5, 0xeb3cf4cc, 0x16eeef93, 0x4fc699ea, 0x596320ad, 0x038566e7,
+    0x316fe443, 0x85374a1f, 0x60af58cf, 0x33182a55, 0xd8a3c19e, 0x26cecdea, 0x70f2a092, 0xcec898af,
+    0x38922dca, 0xe38e2993, 0xb3a18877, 0x8737fa52, 0x2692210b, 0x8d6479d7, 0xa3a8ef02, 0x5b939f01,
+    0x2db07876, 0xf8ea85b9, 0xb149b865, 0x95f49697, 0x25ae9c18, 0x630ffd8e, 0xa0ee2143, 0xf9dc33a2,
+    0xd2338e05, 0xfe1c6ea0, 0x65f3d340, 0xef590753, 0xb0dccc3b, 0xf6e3e864, 0xc0c9c76c, 0x295d74fc,
+    0xe7c56dcf, 0x933c10d9, 0x6992853e, 0x6708e910, 0xe6d99a25, 0x40ca8734, 0x659c9e02, 0x03af647c,
+    0xbb1d1328, 0x52c56ae0, 0x584e973f, 0x8622117b, 0xde87bd08, 0x0065bb6c, 0x3eec6e72, 0x5942a770,
+    0xe2b29780, 0xeb05e9a0, 0xe1ca6157, 0xeffa2593, 0x9184c8ab, 0x4ec5a87a, 0x9e1214d7, 0x5271cd41,
+    0x33c67cff, 0x2ea4a431, 0x0c57bc33, 0xa78f13d3, 0xe3e34bb5, 0x3df6b76f, 0xb7328b54, 0x13ab2e40,
+    0x7624f71b, 0x26bc2a3e, 0x8906af68, 0x6d099959, 0x96571e31, 0x61533529, 0xdfb41805, 0xbdb73485,
+    0xb7d01994, 0xc744e750, 0xa4e3d52e, 0x756e45c0, 0xe407c9d7, 0xd4e3df65, 0x10ec547c, 0x29e413fe,
+    0xeaf99f3e, 0x19d97af3, 0xdaff6f70, 0x95b770e1, 0x601f2d81, 0x7dd5a62b, 0xa1847b47, 0x69f381b4,
+    0x9dc94bc1, 0x9f92fef3, 0x81ea2d73, 0xfc1cc628, 0xfb447250, 0x6c464d05, 0x1a569755, 0x0ddf0d45,
+    0x6e1d7b36, 0x469e10f9, 0x24cd89df, 0x096dc11a, 0x1862b822, 0xacbc12ae, 0xde474ea1, 0x7dc33eae,
+    0xbf8b2115, 0x9e3627ec, 0x803b7b9a, 0x01e42674, 0xcadb18a4, 0x9cd36269, 0x62372707, 0x509abdf1,
+    0xbfed1b6f, 0xfaa0eeae, 0x4e1c222f, 0x6498b292, 0x422837c5, 0xc98a97fd, 0xa725cd50, 0x7f7b4dba,
+    0xb506db95, 0x0e75e899, 0x83a6b335, 0x44629f13, 0x8d050ea1, 0x3721150c, 0x06e535b6, 0x9222ce9f,
+    0xf71e1fda, 0x967177c5, 0x81a5178c, 0x8ec2140a, 0x4a9a24e9, 0x15c601eb, 0xda2cb806, 0xb5b34111,
+    0x0c24860a, 0xdceeb80c, 0x807cd9a8, 0x3a2cdf5b, 0x45c7240a, 0xe0736ab5, 0xe64c51ec, 0xd435ed6d,
+    0x8d3f8a38, 0xb5a30d90, 0x789b8976, 0x638a161f, 0xd94c7220, 0xd465d4be, 0x165453d1, 0x40c302fc,
+    0x0a5c054f, 0xd7e22a22, 0x173b1c3e, 0x6a0f4dde, 0x64c13110, 0x5a082e5d, 0x3798c794, 0x35764660,
+    0x3f2a9e9f, 0x2601b48d, 0x5f4f9544, 0xdec0dc7b, 0x9bef3d50, 0x0c65f446, 0x727afc67, 0x5a1517e0,
+    0x45195bb8, 0x976e1352, 0xe392ebfe, 0x6f8368c2, 0x8a958453, 0x891cd56f, 0x99606b47, 0xa3b02faf,
+    0x3bd6acff, 0x4d863c31, 0xfa748ce7, 0xd238be4b, 0x10d34447, 0x5023e584, 0x95ef3e39, 0xa8db3205,
+    0xb1e4e446, 0xe227a82c, 0x3df7592f, 0xf51ac6c7, 0x00720059, 0xf0dd912c, 0x32fdfa56, 0x380cff01,
+    0xe9e7660f, 0x5a459975, 0x5271f7de, 0x8b9120e3, 0xf887e817, 0xd4001054, 0x0c45856e, 0x3f341add,
+    0xaf109b8e, 0x630b928c, 0xe50524fa, 0x10bdca9e, 0x3a218c06, 0xf2f56e1a, 0xddb4c05e, 0x44a18d6f,
+    0xcbcb49b7, 0x7e4ed988, 0xb4552459, 0xff526fd3, 0xab0f95da, 0x21fc8c8c, 0xc05a6514, 0x8ca9af38,
+    0x00003e67, 0x834a2aaf, 0xd7561efd, 0x952a7b3c, 0xeb9b7848, 0x870e9e6b, 0xa0151ed6, 0x8bb86e62,
+    0x1d8f37ab, 0xb789f6a2, 0x150e3c90, 0xa29a8d29, 0xefaac114, 0x039f1bc3, 0x62a2eb81, 0xbac3c5d4,
+    0x91efabe7, 0x83f6659d, 0x3a931233, 0x88d9b2a9, 0x194d4e6b, 0x6a508c7a, 0x9389921a, 0x6300ba43,
+    0x9b845945, 0x14f6e979, 0x27422a49, 0x31578ed8, 0x569b1cf8, 0xf2558278, 0x6c063bf8, 0x1054dc55,
+    0x5edc4f93, 0xabf1fb59, 0x5bde303b, 0xd3c89453, 0x89325764, 0x64c85830, 0xa825177f, 0xc5ad2c90,
+    0x821fa2b4, 0xb64e5be7, 0x77ed6322, 0xcfbdcd9b, 0x62b103c6, 0x6722e8f1, 0xf8b2f750, 0xab263408,
+    0x6122dbe2, 0x128f0e75, 0x8fe8c241, 0x3c2290c4, 0xe9eb2d8d, 0x86d4ff51, 0x252d11e6, 0x80e3b799,
+    0xd249a9d6, 0x679777f4, 0x6b83e4b6, 0x54f35fe3, 0x812cf924, 0x14307a65, 0x9548e2a1, 0x4c4b6fca,
+    0x200e4502, 0x1691ecf6, 0x7daad155, 0x1c317e2c, 0x8eb5d631, 0xc79c10dd, 0x6b11c80c, 0x67e48bee,
+    0xe000ddde, 0x954797e8, 0x6b3f9b6f, 0x1f0ca9d2, 0xc2779ebc, 0xa5e0c8a7, 0xe5d65a93, 0x9c8916a4,
+    0x8db46480, 0x8d354809, 0xfcbfc025, 0x733e6794, 0xc648cdfb, 0x1a7fb8e1, 0x0f469d5a, 0xb1c883ef,
+    0xb5389904, 0x9c0519e6, 0xf9ac415c, 0x807708c0, 0x60f0cbba, 0xce0f1676, 0x216454ff, 0x2c20034f,
+    0x550c719f, 0x5d711c99, 0x28b8b324, 0x592bc3e7, 0xf84ef163, 0x6e778733, 0x4087aca0, 0x3214ae0d,
+    0xc703ba12, 0x562593d4, 0xf0b8f90f, 0x2348a064, 0x51120c49, 0xc2c5bc71, 0x2d5cb1e3, 0x40bf9958,
+    0xffeecee1, 0xb04cf665, 0x14fe411d, 0x36d82971, 0x86bacfdc, 0x272ab456, 0x14a5eaf3, 0xe050195c,
+    0xd5788f39, 0xe724dfd3, 0x64607077, 0xc77f4de3, 0x13f39f6f, 0x2b728c73, 0x20552a27, 0x8eed2469,
+    0x1931591b, 0xc05597cf, 0x89095fc8, 0xb2a48bee, 0xd5dd02bb, 0xc2075f93, 0xfb0eef91, 0x8762e2e1,
+    0x9578e1c7, 0xd57d9f59, 0x830e307e, 0x4c2af0cb, 0xd99dc319, 0xeb960381, 0xc5f64bf1, 0x60b2e021,
+    0xcc77f404, 0x5fbb934b, 0xa8f9ee94, 0x13ac7e1b, 0xa41c4c28, 0xddea6294, 0xc8234916, 0x71c605d6,
+    0xf52d884a, 0xba540d36, 0x33ff5fa1, 0xb84a6259, 0x9555c3e5, 0x2b81cda6, 0x6a672354, 0xb1c7d260,
+    0xcd875e55, 0xa6635f65, 0x85dfde60, 0xa86a0b06, 0x6304ce74, 0x39a18aed, 0x5e388eb3, 0x2d38f9c5,
+    0xe2e7dcd6, 0x15b4e8f7, 0x9442d8d3, 0xfc7b25cc, 0x278c842a, 0x2368ae7f, 0xed7a61a2, 0xa927cd5f,
+    0x212c6b23, 0x74e3c660, 0x653e4247, 0x36813b6a, 0x68b04784, 0x1e82a21e, 0xb84360bb, 0xe1bf9615,
+    0x8a439c96, 0x5425d665, 0x20306429, 0x70e2b36a, 0x34e990f6, 0x38b7d76d, 0x012152b4, 0x77458c28,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000302231454903657293676544 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68d, 0xc57f2494,
+    0x00000000,
+    0xfce619d2, 0x03cbec20, 0xef0f9806, 0x33d36bef, 0xb69333e4, 0xee8be172, 0x17473649, 0x482a6920,
+    0x2406fe7f, 0xcb9a4593, 0x03e6908b, 0x46864f5f, 0x3a3013d4, 0xdbc9d3d2, 0x2647aa37, 0x3f2a1237,
+    0xbb6147c5, 0x7f38dbc3, 0x36942107, 0x17480312, 0x26879e05, 0xd1c3e691, 0xbeb20844, 0xe774358e,
+    0x379c0bc7, 0xd5df19f3, 0x3dac2418, 0xf4187bf4, 0x16e980e0, 0x7fe14095, 0x485c5cde, 0x65ec7c29,
+    0xbf1b792d, 0xca9cbaa3, 0xb8bc1b3c, 0x5b3366e4, 0xa0fa30d8, 0x9bdf1e08, 0xb6590f91, 0x8ae968bc,
+    0x5dda99e3, 0x93fb820b, 0x31ccfc84, 0xd5ab5924, 0x060ba6e5, 0x09279e82, 0xdd01cef0, 0x813dbb4a,
+    0x01f0951a, 0x605d454d, 0xa814e453, 0xbf76c0c8, 0xf9e5d30c, 0xe042877d, 0x8cbf34a2, 0x9ae4defa,
+    0xf5241a8c, 0xa4e8bf95, 0xa413a5a3, 0xe8701df7, 0xfabc514e, 0x594ec5c0, 0xb9025f0e, 0x5f4f9de5,
+    0x6cd74934, 0x08dd0870, 0xf9554d8a, 0x50fe6210, 0x07aa2c7a, 0x1e8b5287, 0xb1b719c7, 0x0d1b96c2,
+    0xeecea513, 0x1bfbf06e, 0x77118cea, 0x674b08a4, 0x7494fa6b, 0xc3426d76, 0xcb99ade3, 0x10d01a6a,
+    0xefe71d2a, 0xd775c9fc, 0x53e24528, 0x38fa63eb, 0x8fb24151, 0xf2063caa, 0xbba72aa6, 0xa2b48915,
+    0xcc15b49d, 0x00ff7678, 0x9aeb60f5, 0x9d9c97b4, 0xa337d0a0, 0x06b500c9, 0x8f5afad5, 0xc7c311d2,
+    0xa4fa3200, 0x954b01d5, 0x089a979c, 0x3458d508, 0xff28bfce, 0x044ec223, 0x96e3af68, 0xe5a8a307,
+    0xffd18777, 0x2de3268d, 0x24710f41, 0x94f1feea, 0x8cb73601, 0x6aadcd7c, 0x84b56e4b, 0x2b49dfb6,
+    0xe3bde503, 0x642abca8, 0xc0f32995, 0xf7f24c4e, 0xf8b4261c, 0x44a55509, 0xfd4e11de, 0x919b5ef8,
+    0x5e9354d0, 0x194b5769, 0x51a8b680, 0x6bd8dccf, 0xe2a6f5cb, 0x78220e5c, 0x3ab9c6cd, 0xda31849e,
+    0x5e9bf15d, 0x679771ca, 0x8042c6da, 0xfd328e3b, 0x2b67faed, 0x17c7ecec, 0xeb6cfb1e, 0xafeac26f,
+    0x8e5b572d, 0x2ae24641, 0xddfdbf80, 0xdea6b3f6, 0xea37b63d, 0xccf66c37, 0xbb1d9ce6, 0x3036abe4,
+    0x4f087765, 0x3348d174, 0xa246f2a6, 0x19ca5ad9, 0xcbe9b874, 0x541b28da, 0xac4097a7, 0x3d9bc76c,
+    0xaa0f51f9, 0x8cb8b4c0, 0x1dec2152, 0xa4eaf100, 0x2090be85, 0xc8a92ec2, 0xd8a2f0ea, 0x26889464,
+    0x70a38b92, 0x23e83243, 0x12caa153, 0xddc4cc48, 0x36ac2fcf, 0xbdfdd4bb, 0xe8da8c6b, 0xeb01fbe4,
+    0xf20f28bc, 0x727ff9a6, 0xe95ad489, 0xe34d9d20, 0x90e6164d, 0x3efa8659, 0xe984cbbf, 0x224c9ee5,
+    0x9cb11179, 0x7110b774, 0x8cf0f2db, 0x136a9ca0, 0x29eabaa3, 0xf516e05d, 0x54750613, 0xc38457c0,
+    0xa5fe97be, 0x900d6350, 0x560e06d2, 0x472d5f88, 0x61c365e0, 0xbe7f457e, 0x5c1f7cf1, 0xb0ac8a8d,
+    0x06d9292b, 0x550bca1c, 0x9329cfa7, 0x6c6319f9, 0x8698da17, 0x60ad9f95, 0xa610e91d, 0xdcbb33a0,
+    0xb797ffe7, 0x57f3e470, 0x99ea9155, 0x113cea6c, 0x3e44563c, 0x5d78ec8a, 0xbff71fd7, 0xac4758a6,
+    0x62510959, 0x7342bd78, 0x7b1b5b19, 0x71be6851, 0x8b5ba552, 0x574978e6, 0x6c308e59, 0x24a0ab73,
+    0x16858dc3, 0xc249834d, 0xd1d8d097, 0x1d92dabd, 0x811a44b2, 0x01853b25, 0xab6a6b5b, 0xbfad90d3,
+    0x25e59aa2, 0xc6f8e1a7, 0xf6a9659a, 0xdf329656, 0x8ec9150c, 0x225c143c, 0xea923679, 0xa70cf1c6,
+    0x319e21fe, 0x8a30004d, 0xc2e722e3, 0x2bab00b8, 0xd71a7cee, 0x70cbd7ba, 0x8c90894a, 0x8312bdee,
+    0xa6b2ddfd, 0x842163f3, 0x5553a6f5, 0x32db0391, 0xa672ea21, 0x656d733c, 0x6b51e040, 0x45023c56,
+    0xf7c8cb44, 0x8efa43a9, 0x606bd3b8, 0x3877c26a, 0x25d601b9, 0x9295a6f5, 0xc8615866, 0x0af475ba,
+    0xc4e7b8bd, 0xbd528f29, 0x586934b7, 0x195985fe, 0x29c2db67, 0xe61ec8c0, 0x3f824cc0, 0x04f8df72,
+    0x71f8596b, 0x996402df, 0xff954713, 0xc9cb93d2, 0xc7224c7d, 0x76c2c93e, 0x50bc7e52, 0xc31c988c,
+    0x4811c330, 0x96f39145, 0x0370e087, 0x6431ad47, 0xcaf68725, 0x98fd1a88, 0x3b053907, 0x24912277,
+    0x50e8063b, 0xa0764e1b, 0x0ea7bf2b, 0x2d8fb681, 0x29ff5e08, 0xef44b70f, 0xdf3cc99f, 0xac8b77b7,
+    0xfcf25640, 0x9611bfac, 0x9b8766db, 0xdf3bac48, 0x75a07c6c, 0xf169f7c4, 0xbac1cdc1, 0x80126821,
+    0xa19885c7, 0x77180187, 0xec9ec2c1, 0xd94fd7ee, 0x544fa09d, 0x8f10a519, 0xbff78176, 0x28165be4,
+    0x183d04d2, 0x37a1c751, 0x3b88025e, 0x5852749f, 0x5d12f23a, 0x87d86865, 0xf134d863, 0xe2be2462,
+    0x430f62bb, 0x49538b97, 0xf4031fa1, 0xed16e3f6, 0xb03f0345, 0x10a70395, 0x5e4f78d2, 0x12d55923,
+    0x89309aa6, 0x7b32cbc1, 0x80fa4730, 0x486bb663, 0x8a9e9109, 0x9b0abb7e, 0x8652ca4a, 0xc852a7b2,
+    0xa007a80c, 0x06b3b5b1, 0xb7c50e98, 0x09b03ec1, 0xe3e5f896, 0xbe080467, 0x6b25b69c, 0xf79507af,
+    0x2975164b, 0x0ee83469, 0x74fdc212, 0x11cd9fd7, 0xc4ea7592, 0x172b5e42, 0xb1c6e41b, 0xeade4e5a,
+    0x40168ee4, 0x26fd53bd, 0x95292ed3, 0x5afccdbc, 0xae12bf4b, 0x9eb0e4ac, 0x51b7dbdd, 0x9819f97b,
+    0x00533c34, 0xded527a6, 0x905207de, 0xb7d3c8c0, 0xc4ebd497, 0xbbe10346, 0xd25ba139, 0x733614e7,
+    0x0432cc14, 0x2733b980, 0x475934ec, 0x4d86eefa, 0x08625a2e, 0x8e9c0955, 0x1c799f9f, 0xbffcee78,
+    0xd7540740, 0xf502f574, 0x1c476e0b, 0x5d3be421, 0xd17ea55c, 0x8e754d42, 0x70bb1469, 0x389b0822,
+    0x10f4488b, 0xad55d183, 0xf832f74c, 0x04d7dd41, 0xc8bda57a, 0x1901c8a9, 0x519149f4, 0x75f47346,
+    0x135fe28d, 0xa48bc36a, 0x35f3c7a1, 0x099249a9, 0xd0e1f136, 0x6ae91fd1, 0x9463423d, 0x32aec4b5,
+    0x2fd77f1a, 0x6971cf4f, 0xd07e1424, 0x5ab26ff5, 0xb1417e6b, 0xe3355258, 0x5d4f2045, 0x5a02dcff,
+    0xfeda5478, 0x31f47b76, 0x8f23e006, 0xaca99305, 0x31c94e3d, 0xe1f7e40a, 0xacbe8d10, 0xe18cb351,
+    0x337af305, 0xa0e3ee7b, 0xc3e81fc7, 0x88c13edc, 0x7c475aa1, 0x6f3e8890, 0xda63d2b0, 0x67c38125,
+    0x7bd8083f, 0x6a2eb857, 0xad7c77bf, 0x38a810d0, 0x06126632, 0xbc9f527d, 0xe2d13d45, 0xeed6f32c,
+    0xf7ce68c6, 0xb7f8c34d, 0x1183c333, 0xf905f857, 0x36936b41, 0x742ca48b, 0xdbba81d7, 0xfad11187,
+    0x1a4a02b7, 0x5cf3acbf, 0x81e6e7cc, 0x21ea8466, 0x7f197b15, 0xaf58de42, 0xc9fd0ca6, 0x58df67e4,
+    0x98b8bd01, 0x5e5f546d, 0x6f76e9d8, 0x8f604714, 0x57af8208, 0x41ce5f05, 0x0a83adc1, 0xb5f6b8f2,
+    0xcce0f75e, 0x63dcbddf, 0x41e3b79d, 0xf6b0e9a4, 0xffb7ae02, 0x0f645287, 0x7bf10be1, 0x271b3099,
+    0xa3bee2c9, 0xb1eb1821, 0xb51cf0ae, 0x58784194, 0xfb0839c7, 0xbae095db, 0x89cf651f, 0x23431620,
+    0x6bd936df, 0xbd4eddc3, 0x1945877e, 0xdd9c273b, 0x651be242, 0x8a24f6db, 0x26d9efc1, 0xa7dc9262,
+    0x014d7de9, 0x611605ca, 0x03d5c5b3, 0x1d76cb3a, 0x3e1a9b19, 0x937113ac, 0x42508823, 0xdc9ac058,
+    0x2b932b85, 0x0286425e, 0xc07ed184, 0x090f0e37, 0x0ea08aa0, 0x9a6b85b3, 0x3e773638, 0x021fc693,
+    0xf2e69fb4, 0x02b5a224, 0xb6cf9b43, 0xeef6ae8d, 0x3c1a450f, 0x9fc983ef, 0x5041991a, 0xcb781bf0,
+    0x3f63e289, 0x032aed0c, 0x9a8708b0, 0xc4300936, 0xf4fc0c33, 0x1abf3051, 0xafca3903, 0x831c09c2,
+    0x7131844c, 0x4ecb19d3, 0xe3df16ff, 0x1dfeffd3, 0xbd73cc18, 0xafb902d5, 0xc0b9e245, 0xf6f5b1a5,
+    0x2713f588, 0xbca2f968, 0x1cb16df7, 0x43821b3e, 0xf0fe8d3c, 0x76bea6f9, 0x204f5208, 0x064349c0,
+    0x5fe9e64b, 0x9f963c95, 0x62a444ec, 0xee265c10, 0x154495f0, 0xbc8fa377, 0xaf8441d9, 0xd02b4aca,
+    0xc50306f1, 0x5b44c6b1, 0x591c43b8, 0xe2d802da, 0x98857ec1, 0x564e71c9, 0x37928277, 0xb0d06e92,
+    0xf0809513, 0xb1237b9f, 0xbe4d3c48, 0x65c2ae3a, 0x83115e56, 0x6d1c73ec, 0x4fe4b38c, 0xc1815d02,
+    0xd96fc0cd, 0xc351691a, 0x79b8125e, 0x06f7d23f, 0xd6fca042, 0xa04ba379, 0x660dc1d7, 0x9e4b9c86,
+    0x464d68df, 0x422c7269, 0x5ba21da9, 0xa74ef72b, 0x777680e1, 0xf90e6767, 0x8e763e05, 0x27f8b9fe,
+    0xbca33855, 0xcb43043a, 0x42c03c71, 0xc5b9b5e9, 0x7b12985c, 0x8259911c, 0x4837e0cb, 0x84e71416,
+    0xc56a4403, 0x526fa309, 0xb8c7a3a0, 0x9d619459, 0x1f052839, 0xee62d6eb, 0xbf04b1f5, 0x20a587b6,
+    0x650d0c4f, 0xac3d0821, 0x200d4201, 0x6c409b9f, 0xea1eb2cd, 0x0b8cfb8e, 0x972bcb96, 0xe04e0a0e,
+    0x6ef29d83, 0xe91a17a0, 0xc680d276, 0x7202ec09, 0xca081635, 0xb6d0592f, 0x582ae32a, 0x1986abd3,
+    0x4d14f21c, 0xc8c9aa54, 0xb6d2face, 0xd5ca5a06, 0xe36bd950, 0xebf8732e, 0x074ae9b5, 0xcac762b4,
+    0xf3eab196, 0x3ec7637c, 0xdc8d2422, 0x8dd8f5f2, 0x1ecd6adb, 0x01f24ef9, 0xc049d3c2, 0xdcfae1e0,
+    0xac0ee248, 0xc19fd0c1, 0x70008f21, 0xdf84876a, 0xea6b54aa, 0x3cfde322, 0xf77d3219, 0x83070620,
+    0x41d86b61, 0xcce7e4da, 0xb0fbbde9, 0xa594cbf6, 0x76579641, 0x0545c0a6, 0xfbceb2c8, 0x7355c83b,
+    0x86715df4, 0xbe597299, 0x60393495, 0x4109bca0, 0x25868ceb, 0x6bfe0c2f, 0xd861da5a, 0xf81f18c1,
+    0x78a7c446, 0x5c81d073, 0x3dd23725, 0xbc13efff, 0x41b4bde8, 0xd528ce03, 0xd5ce852a, 0x25afcefc,
+    0xd0b7d4fe, 0x572f5c96, 0xf3e4ea6c, 0x69d60aa3, 0x3ab685dd, 0xd2c67617, 0x129c10e0, 0x9ee40262,
+    0x0b4d6502, 0x0fb31452, 0x897e3d11, 0x867e5496, 0xd3ad3ee5, 0xda98704e, 0xb6a57543, 0x770a6160,
+    0x988d63c8, 0xc113ab06, 0x0b91658c, 0xb5b8bb86, 0xc56e995b, 0xcd05a16b, 0x6ae1663a, 0xdfbeba08,
+    0x38d61533, 0x2035c6e7, 0x02a24719, 0xd49ba536, 0xd7609792, 0x155a80bf, 0x95494c21, 0xf4ad0e72,
+    0x7476d5aa, 0xf55e3f7b, 0x37f567b3, 0x4be7c989, 0xd1f4978b, 0x2d8c3f7b, 0x6752db53, 0x48f1baa6,
+    0x7a3f9475, 0x537f260a, 0x676ed3cc, 0xc046d4ed, 0xe928e033, 0x771b8abb, 0xb7b0af10, 0xd4e561e0,
+    0x9d732a9f, 0x37aa6bb0, 0xc40e07d8, 0x6ca98035, 0xfefd8630, 0xa4f5301e, 0xb689dce5, 0x59b37688,
+    0xc204601c, 0xfd983341, 0x5bc67b9e, 0x45495d15, 0x0b2c5f48, 0x07b24454, 0x575554b3, 0x39437b50,
+    0x4f8dd498, 0x5de00152, 0x08a7e074, 0xae65630a, 0xe1784350, 0x4f809d6b, 0x519c8879, 0x91e50e19,
+    0x8e2815c9, 0x470b1d09, 0xaeada38c, 0x6b0d2e5f, 0xf3396308, 0xf3696069, 0x1738f6e0, 0x905cbc79,
+    0x320b5b14, 0x166f92ba, 0x8e398dbf, 0x7861dda9, 0x5facd337, 0xddeb9087, 0xc0b4ffc2, 0x6246a171,
+    0x7823c5a2, 0x7a9da3a7, 0x9cbb8399, 0x43b2806a, 0x22ce1f7a, 0xf16aaa2c, 0x940e99af, 0x61a532cd,
+    0x6593f75c, 0xfc5b99bc, 0x83ee7c32, 0x5b58138d, 0x53e14d9b, 0x277c4673, 0x02512b6e, 0x262cd00e,
+    0xed8ca179, 0x5c2333b3, 0x6f5db4ff, 0x624758cf, 0x71ab3117, 0x7aa95ac3, 0x40130b1e, 0xee8c611a,
+    0xb26c254a, 0xc198c1f9, 0x1943704c, 0x30713b0a, 0x09f7aeae, 0xb4518711, 0x0a8d45d3, 0xac453641,
+    0x7d0e0406, 0x5cdcb944, 0xfdafbd73, 0x97cbeb9a, 0x8929da93, 0xb4b9d1dc, 0x14824b61, 0x2b3dbf1f,
+    0x7464bca3, 0x58069043, 0x7c82547f, 0x51d941a4, 0x0730e280, 0xaa68b133, 0xa67125be, 0x72ce050e,
+    0xa6ac2aa0, 0x85dfb4af, 0xd79e0006, 0x5196b6e8, 0xd4f61d09, 0xd1368c2a, 0x58e9933c, 0x85ba72a7,
+    0x75fbad69, 0x532ce1f4, 0x3b9dc8fb, 0x62ed804b, 0x0a045fef, 0x61eba1a7, 0x8aaef2e5, 0x80fbf4c6,
+    0x87edb2ff, 0x12bd08c5, 0x2151de08, 0xd7532c1f, 0x37e02ad2, 0x6b3cd32a, 0xd8e1e0f6, 0x29b60d59,
+    0x0c56e574, 0xe6856ef3, 0xacf1b6bc, 0x6610eae8, 0x561046b3, 0xa53e2332, 0x0320e79b, 0x8479ca00,
+    0xf6f0ee10, 0x3967ec0c, 0x5826a5b5, 0xf7dae7e4, 0xd301368f, 0x11de7309, 0x303ff3e6, 0x699958cd,
+    0x445faafd, 0xca21bccf, 0xa23f1874, 0xb8640d09, 0xfd08d716, 0xe5c7b4a0, 0x2efc8498, 0x64286e6e,
+    0x7679dc9a, 0x24bd2b77, 0x4e5155d8, 0x6ba1b4b2, 0xefd76c4d, 0xf841c54e, 0xc4e060d8, 0xb0ea2c79,
+    0x1959bef1, 0x16907f81, 0x62ed8514, 0x0b7b8398, 0x4e716c51, 0x8f7ff2f9, 0xf78be5cc, 0x995ae9e7,
+    0xf7eea9d8, 0xb4ad5ff1, 0x0711b598, 0xaf1ad074, 0x26c02c3c, 0xbb1bf76f, 0x1fe59dd3, 0x2949af65,
+    0xbf846dae, 0xed8b14c1, 0xb4e99d09, 0x31ac36ce, 0x02c4ccb4, 0x1cda1167, 0x71840734, 0xe1cef768,
+    0x76945f66, 0xdc26d6f6, 0x6e876232, 0x2565b971, 0xed674e36, 0x39ffeb96, 0x3a09a6be, 0xde37ab8b,
+    0x9b5a926d, 0x1eeca0f4, 0xfd81f2b2, 0x24f57241, 0x81768cea, 0xe4032ab6, 0xf8611233, 0x728b910e,
+    0x1d6ee9ce, 0xad002a1f, 0x47b51c87, 0x56ec5d5a, 0x59c8cc13, 0x4b55865a, 0x1da8456c, 0x81780b81,
+    0x611416f0, 0x11c93f20, 0x476b5741, 0xeb6d9615, 0x131cbaf0, 0x0f40d10e, 0xfb79f8da, 0xc6767885,
+    0x00db91a1, 0xcdd192d7, 0x25472182, 0x426de94b, 0x056f92d2, 0xdc93e21b, 0x75752459, 0xbdb92f4d,
+    0x39237cfc, 0x9c925873, 0x950f16d6, 0x3d2066be, 0xc28eeeea, 0xd4e7b43f, 0x06024632, 0x872017f7,
+    0x18ff8453, 0x73ef7dfd, 0xe966ec39, 0x278cd4f6, 0x4e908af7, 0x4766b417, 0xcc9184aa, 0x78ac4253,
+    0x2897ba08, 0x701b89a5, 0x7d5e7605, 0xdd97520e, 0x4ad39db8, 0x06998479, 0x1c83f9a2, 0x809952c7,
+    0x65375fa7, 0x1cc79c08, 0xf1a559d5, 0xf1efa561, 0xedd17699, 0xd5b4539f, 0x77ba9acd, 0x1ea34905,
+    0xda364673, 0xd1718b60, 0x60d7479b, 0xccd746e9, 0xb9906e57, 0xfc42eca3, 0xd7bd2294, 0x28f38007,
+    0x90aed3c1, 0x5ad1977b, 0x78a56473, 0x89dbe369, 0x1b36c6f1, 0x463d687c, 0x1810c990, 0x6b035c29,
+    0x98e17a61, 0x42354410, 0xa7d51cb7, 0x610a6d77, 0x1ad1e13e, 0x3f0c075e, 0x42f3e10c, 0xf57a6bdc,
+    0xdafa5026, 0x182d4170, 0xc0a63659, 0x7c7fad49, 0x20a4734d, 0xc0fbf846, 0xcaa33f8e, 0x7594c118,
+    0x7f044779, 0x10987992, 0x8f48bca1, 0x294c9977, 0x48ddd83b, 0x2c8bcf55, 0x9ebcbd9c, 0xc320c0d3,
+    0x29c3760b, 0xb2534ea4, 0x2dd8e517, 0x3503075d, 0x11324e94, 0x1375643e, 0xb266763c, 0xcfa3fa5e,
+    0xfbd53396, 0x810c4a02, 0xd6b1dc99, 0x8e8b22a0, 0x07e60497, 0xdfd6ab1a, 0xc0abb71e, 0xc182b761,
+    0x850f851a, 0x6fa03e9f, 0x59da3e0c, 0xb41f5311, 0x9ec7c54b, 0x4f99435e, 0xd8874640, 0x368c6c6c,
+    0xde92480f, 0xa95d61a2, 0x1e92a88a, 0x9a7b4a42, 0xe1b3713d, 0xba0be8e4, 0xf64e010c, 0x5482f546,
+    0x550e3867, 0xa443c0d8, 0x45f61ec7, 0xd3c75a8e, 0xb429c810, 0x52bde776, 0x5c7e5d6d, 0x754fc27f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000151115727451828646838272 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f346, 0xe2bf9249,
+    0x00000000,
+    0xfe71d747, 0xb01cb3db, 0x1a6f5d5b, 0x316fc2bc, 0xe84cb9a7, 0x0ab386b7, 0x6fc9da05, 0x17914c6e,
+    0xd4d463e3, 0x9079a3f7, 0x4e7d580e, 0x1913e6bc, 0x448ae871, 0x1c5e2205, 0xa64620b6, 0x5abfb558,
+    0x86789573, 0xc3a2b32b, 0xb42fb33f, 0x55cd230f, 0xd3590265, 0x971b7281, 0x223af883, 0x55560a24,
+    0x4f5af2d3, 0x67490678, 0x82838011, 0x320a808e, 0xc7a27a71, 0x3ca74083, 0x44745e96, 0x5606bb14,
+    0x45b9ffe0, 0x69a5a849, 0x46a10a0a, 0xceae9396, 0x58006312, 0x21d1fc74, 0x519cd6e1, 0xe9f32e71,
+    0x995a9b3d, 0x0c705dcc, 0x09aca28e, 0x1745630d, 0x83071956, 0x44c80a75, 0x5af66489, 0x58590001,
+    0x183efc82, 0x65f8d216, 0xec918bb9, 0x41a057e2, 0x232b4399, 0x2e295ce2, 0x6b62504d, 0x045b6779,
+    0x1d8b2d13, 0x80099ad2, 0xd5e19e0c, 0xe0421957, 0x1a3940b4, 0x24451d28, 0x3563a941, 0xb3048778,
+    0x09ba569c, 0xd33a52d4, 0xf1efc533, 0xd0c460fe, 0x0e05dffa, 0xd262e9f3, 0x9761ec39, 0x0b9016ea,
+    0x04d4e79c, 0xb71fd227, 0x22d4f501, 0xad162ce9, 0x8d34c788, 0x1c30ffa4, 0xa35a7c88, 0x7c962dbf,
+    0x5c367825, 0x6fd992ec, 0x2a89e57a, 0x38b4b9cd, 0xb9098078, 0xbc8db260, 0x47df8678, 0x193458b3,
+    0xcf1088ef, 0xf5d07757, 0x012b470c, 0xfef8dac8, 0x6fa168eb, 0xe1a18bf2, 0xc36a1b42, 0xc7629196,
+    0xe62dc038, 0x65156ad6, 0x5eae2371, 0x4e7e536e, 0xf7304922, 0x50bf2f5c, 0xc5d96d40, 0xc5897d77,
+    0x9c3d177d, 0xe14d123d, 0x43d68841, 0x270b1ee7, 0x83ad8cd5, 0x038cbe83, 0x0b292f1e, 0x850f347e,
+    0xbea1fbe8, 0xc08b93e8, 0x037475d1, 0x659338a9, 0x37e777a2, 0xcc0e16c4, 0x10d11161, 0xa54a3876,
+    0xe2e253e4, 0xa667fdc6, 0x6598dd59, 0x6a9e1e52, 0x31b9bab1, 0xfaf22d87, 0x90a2c3af, 0xd6cf9ea8,
+    0x7b85fcd6, 0xa82b4f70, 0xcef088fe, 0x8a45518c, 0x07620e33, 0x73d04c59, 0x76783f87, 0x98b1aa98,
+    0xfa09237f, 0x36e918bb, 0x42ed8065, 0xc78d127d, 0xc12a797c, 0x83aec1fe, 0xabc9e24b, 0x7538ffc6,
+    0x2a46c307, 0xa9e40583, 0xd90f442d, 0x927eaa2b, 0xa66f92df, 0x22983676, 0x4294070c, 0x8a6eaa74,
+    0x1b693320, 0x80321d92, 0xae2540ef, 0xf7891267, 0x09b0ddac, 0xc3c6f7ab, 0xc7a8c5cb, 0x6993ea7c,
+    0xeb47f965, 0x42cbe760, 0xa4f0be2f, 0x88e814ab, 0xfd3b11b8, 0xa974e551, 0xce50c43e, 0x25c0cf57,
+    0xe47a694e, 0xe1604f6d, 0x772ae598, 0x8bc61574, 0x532cf84b, 0x45b97fd7, 0xd5a3b9c6, 0xea5d14ab,
+    0xf8d3d9e1, 0xbc57f5ed, 0xa29dd287, 0x8dfcbd60, 0x1a619c3e, 0x1610792e, 0xec8bfdcd, 0xb36dc883,
+    0x565688d0, 0xc28c5200, 0x726a9e55, 0x716ef14d, 0xd78ae35a, 0xfdd7d7d7, 0x4db485c0, 0x1d33aed7,
+    0x3bb93397, 0x5cab7946, 0x2557313b, 0x8bfe3484, 0x3b1c1978, 0x1048cddf, 0x93c70bf7, 0x247387b2,
+    0x7d8b71c5, 0xcb08c0cf, 0xa16e74ee, 0x87552b0b, 0xbaaa33cb, 0x2eead0c1, 0x0a49665e, 0xed98b11e,
+    0x1dfa6ff0, 0xa590488d, 0x2384046f, 0xccf20ff8, 0x05387cb2, 0x67e7f802, 0x17866aa4, 0x189da29e,
+    0xc5ce0500, 0xa14540e8, 0xb3869464, 0xf445fe2e, 0x678b711b, 0xda154bc5, 0x5d3ee4b9, 0x6f164762,
+    0x58eda6f3, 0xc228a1a7, 0x810d8828, 0xb21ca483, 0x4dc2f32e, 0x9584ddee, 0x77ca9774, 0x1667c649,
+    0xe51c0102, 0xb12b8cfb, 0x050f4efd, 0x3f0697f9, 0x3e943cb3, 0x90b6d221, 0x13acc2f3, 0xc784bb55,
+    0x68c3cbff, 0x90939199, 0xcbe1c237, 0xae99e2d4, 0x0acb3569, 0x3653e039, 0xdf06a142, 0x27ee3e6b,
+    0x6f001be3, 0xbc216b75, 0x9dc9d2ee, 0x14d2c8de, 0xab616fdf, 0x20a34581, 0x8e7ce917, 0xe32e8425,
+    0x2968ca85, 0x96590555, 0x79d37951, 0x60a37f88, 0xd407be91, 0x6f596da4, 0x020407a1, 0xfd08f293,
+    0x628049f5, 0x76d8d33c, 0xe34e4278, 0xe73bd515, 0x85382276, 0xdff6b5c7, 0x8df05860, 0x138c5c11,
+    0x57707c13, 0xdeb9c8fc, 0x0011f41f, 0x3ff9fea8, 0x023c04d6, 0x8f80cc8f, 0x60e00174, 0xf82ef8cd,
+    0x6efa9c36, 0x0f8b061c, 0x1d483874, 0x276772f4, 0x9dc95f72, 0x43d4660b, 0xf2de22bf, 0x9623d26f,
+    0xc4f8997c, 0x196d55d8, 0x75e6af74, 0x73cbdfb7, 0x1dec5a17, 0x4d837105, 0xc90787ce, 0xf35f4455,
+    0xd982aca8, 0xf21aec2e, 0x252ec760, 0xc09cd701, 0xf6368ed1, 0xe7c806f3, 0xb60c9225, 0xc8da259d,
+    0x88b1a582, 0x95b8c946, 0x9604f27f, 0x36860727, 0xde4b0280, 0x58f138c8, 0xae2a0f93, 0xe771691a,
+    0x9dc548c0, 0x9d09d7d6, 0x95e6e311, 0x618b40cb, 0x81b94116, 0xf9dc1b93, 0x68db2384, 0xa70cdf5d,
+    0xf7a107f1, 0x583a3277, 0xef83dea8, 0x93a86d16, 0xe695d6cd, 0x7bb30984, 0x62a201c1, 0x58bb5332,
+    0x70aea130, 0xd2076afd, 0x168df4fb, 0x317a9d80, 0x76110357, 0x8cc8a1ac, 0x33753e57, 0xc988737d,
+    0x71454ec3, 0x682849bf, 0xe5d71fff, 0xff0de1dc, 0xfb6f7104, 0x60c59cc5, 0xaef34c6a, 0x9531582a,
+    0xa238fa5b, 0x5decbf97, 0x54ca8264, 0xfa4c8271, 0xa4d98420, 0x2181e2b2, 0xd13c0d8b, 0x70d1b8c3,
+    0xc42f1dd3, 0x1666c14b, 0xf7650ea8, 0xe0a83e81, 0xc0afab31, 0x66883ff0, 0x9b1bdd93, 0xfda78b1f,
+    0xbc9ac1b7, 0xc379198c, 0x75dfa6db, 0x70d55117, 0xd0ff16c4, 0xd11ce204, 0x0c763550, 0x9af792d7,
+    0xb7a63eae, 0x9f67a900, 0xa7ad6c2b, 0xf7d25ae7, 0x77ca2d78, 0xc3c6c117, 0x1213d6cd, 0x9a500ce0,
+    0x645855a8, 0xa349ffe6, 0xc3768059, 0xe7c05e9a, 0x7e4c14db, 0x3eed27e0, 0xa98e4ca4, 0x397cb267,
+    0x2f0291c6, 0x878c27f1, 0xfbd37f16, 0x9083b46c, 0x4a36a04c, 0xabfd70e0, 0xc2497042, 0xd04b4b5d,
+    0x6315d90c, 0x2be86327, 0xf72e3fe5, 0xea7bc5f8, 0x55c15481, 0xef863b3f, 0x1784aa74, 0x3ca90b95,
+    0x33b68ce7, 0x06bf6d16, 0xe955d94c, 0xd79a4f2f, 0x115f1c7d, 0xb7ca8479, 0x0ebc00e6, 0x79aece79,
+    0x91cb288b, 0xdf822c17, 0xde93bb87, 0xfae26522, 0x8f8b1aca, 0x575a924a, 0xa8a9ae1f, 0xcc6d54ef,
+    0xaf27087e, 0xf4adfb6f, 0x07c12abb, 0x89a9cee9, 0xa7ea4c00, 0x45a9b076, 0x58cc5e86, 0x196d7946,
+    0xe1a3e2aa, 0xe126e6db, 0xd108279e, 0x77e595bc, 0x47d24005, 0xbc464621, 0x5375a962, 0x24e25418,
+    0x67a080c4, 0xf22791c5, 0x560bf5de, 0x81e0ab15, 0x01d8cd48, 0x73ce7875, 0x3798eee1, 0x48fefcce,
+    0x584c9a4d, 0x5aed3d71, 0x3adcf62b, 0xd1b0c1d4, 0x796eae4f, 0x8893e7e5, 0xb0d8bba0, 0xded28aa9,
+    0x4ff76dbd, 0x9bd2b111, 0x94f8ee14, 0xd222edbd, 0x72ad178f, 0xdd124123, 0x1dae10fc, 0xe54146d6,
+    0xe4d9c0a7, 0xe8202929, 0x9c550600, 0x3bf5d17e, 0xb38e8e69, 0x82f98c3b, 0x778632fc, 0x4e7c0785,
+    0x3008c3bc, 0x4cd63da6, 0x97a525fa, 0x452ff6a8, 0x0bf98cef, 0xbc9234e1, 0xf65ddd45, 0x2d4575d0,
+    0xfddcfa51, 0x7916bd38, 0xe78f9e3b, 0x278be0e4, 0xd02354c4, 0x157d7c6e, 0xcb05dbac, 0x28d78e5d,
+    0x693e7a93, 0xeea17a73, 0xd5414f16, 0xdb14eaa0, 0x1ac1981c, 0x0ec6e99d, 0xf5747623, 0x5c20165a,
+    0x68bacdc9, 0x7876a4f2, 0xbf56321e, 0xec3881ce, 0xbc3cf715, 0xdf9ba570, 0xdd2fd49a, 0x2e0cb613,
+    0x45a72352, 0x7a96ee46, 0x388001fd, 0x5d5b1797, 0x2f5198d5, 0x878fa3f1, 0xb474d403, 0x09b04a24,
+    0x659bd7c2, 0x05d0994f, 0xa2fbc74f, 0xe379167d, 0xf313b366, 0xe3398bc8, 0x7e7066f3, 0x050d017b,
+    0xf7f06aa5, 0x8ce24510, 0xeaf120ab, 0xc0cab9bd, 0xe1d60dd9, 0x557d7320, 0xa0efea5b, 0x5bb093af,
+    0x6d6a5752, 0xa3c23774, 0xb01abea1, 0xefd3bb3d, 0xf326a44c, 0x86735825, 0x93ab1067, 0x92b2eb89,
+    0x9babe12c, 0x4acf2f48, 0x84b2a103, 0x4af438e9, 0x6d7d908c, 0xa722222e, 0x8cbcf2be, 0xf9754ddf,
+    0xf1d432c0, 0xbf632626, 0x3246b2a9, 0x1cab8be2, 0x68e95b45, 0xdd5e6fa1, 0xbc5716e6, 0xf2ecddeb,
+    0x8ed2c2ee, 0xe2122f47, 0x644b8090, 0x11b0e4ff, 0x54847623, 0x2a7c6b73, 0x8c8d5e99, 0x2b6ca2e2,
+    0x80e78d22, 0xa96c0ce2, 0xa7344a58, 0x66740edb, 0xfe5a3657, 0x57f6c322, 0xa003d0e5, 0xa52ba282,
+    0xe48016d8, 0x10322266, 0x1de2e002, 0x50e9c5de, 0x2e0e9c44, 0xc7069e4b, 0x8d0c599c, 0x9a4eb410,
+    0x02d34bf8, 0x27a2f718, 0xd4bbd32d, 0xc739bdad, 0xe4cce8d7, 0x0df86f35, 0xfe1230c4, 0xd3197ad1,
+    0x0aa68da8, 0x789b36d9, 0x1d6294da, 0x1e6a038c, 0x8d270b60, 0xa3f835f9, 0x4aedc768, 0xb1c5c6ec,
+    0x6ed5ee52, 0x12426ca7, 0x168d7619, 0x5e99c2b1, 0xc17f9d66, 0x94118a84, 0xaf6de499, 0x5bae688a,
+    0x0d97a90f, 0x5cff9c44, 0x9987243c, 0xde013e19, 0xf0cec876, 0xd6d8eead, 0xa5633da9, 0x0c8e00f7,
+    0x7210d481, 0x55a1b219, 0xfdd8ce0a, 0xa2a65b1d, 0x967da9ef, 0x38e581cf, 0xab70df52, 0x27ba4efe,
+    0x3c9e20c4, 0x6687ca1f, 0x292afa7f, 0x0961d92f, 0x10f8427f, 0xf8fa37e6, 0xfc7a848a, 0x9892d751,
+    0x8407c384, 0x2c6ad048, 0xd4aba914, 0x9432a183, 0x41067dc3, 0x7d916832, 0x982fbbdf, 0x63bb19dd,
+    0x5de44933, 0xb1ae7c92, 0x731a3466, 0xc5ac45fe, 0xb6f63325, 0xe5ee278a, 0x36de1548, 0xc703a545,
+    0xc49203d1, 0x85b8d1cf, 0xf170076d, 0x4cd64c9a, 0x32fd5c8e, 0x88245531, 0x748d2f48, 0x030ddb11,
+    0x09e73087, 0x5676a301, 0xdb4bf4db, 0x1e6d5de6, 0x7d9288d8, 0xa1fc9ca2, 0xbcb56990, 0xfcf391bf,
+    0x6d2ee790, 0xefb44eb3, 0x425f2775, 0x20e4f743, 0x77121411, 0x0b7fc153, 0xca107b57, 0x9ba51dc6,
+    0xcf8cb282, 0x8088537e, 0x242c12e0, 0x762bae0a, 0x3987d6f7, 0x78f9d45f, 0x3b327946, 0x0436eb2d,
+    0xd3794099, 0x10161d83, 0x1a2541f1, 0xa2df6121, 0x7cedd557, 0x917d2a71, 0xe233ab6e, 0x73b26628,
+    0x18fd11de, 0x98b2d895, 0x0bbe8044, 0xfe39343f, 0x38dc3fdd, 0x5cf11219, 0x28322c26, 0x5b7bb11c,
+    0xa85b4d9d, 0xd31b9300, 0xc5a14b17, 0x21a99878, 0x3deeb2df, 0x9bd95ad9, 0x2b5fd645, 0xb552c9b2,
+    0xa63c5f73, 0x61390408, 0x44a8a4c1, 0xfddfb130, 0x906cfa8d, 0x78cd5d07, 0xadf407ae, 0x71f9db09,
+    0x9298a958, 0xc2425e4f, 0x3c8f1420, 0xd54ca287, 0x7cd58756, 0x69698735, 0x1c3fea93, 0xddd893d5,
+    0xf4d128a5, 0x6f05c72a, 0x933c2457, 0xcad7023c, 0xf884e9ef, 0xdcd80321, 0xac5cc027, 0x6cdbaf4c,
+    0x0ac562f4, 0x0510a706, 0x6e164a52, 0xf5b82f7e, 0xa83cd58b, 0x4dae4fb3, 0x847349d4, 0xcf70c5e4,
+    0x2321377f, 0x7e8f90e9, 0xba1f082b, 0x558e606b, 0x7aac24ee, 0xbf7bd6cc, 0xd5045fe8, 0x72a22e70,
+    0x5f222489, 0x4df77761, 0x760e9a40, 0xd6c70908, 0xcac83f9e, 0x879b208d, 0xa07e5b0f, 0x7a63dbfb,
+    0xedaf1df9, 0x2f02431f, 0xb7705760, 0xd65b69e6, 0x644378df, 0x78836f31, 0x9809841d, 0x5aaf57d3,
+    0xea9c1148, 0x1ab0958d, 0xf7ce4110, 0xc56a3f7b, 0xda2ffbfe, 0xe2c6e467, 0x7ab0748c, 0x801b5264,
+    0x9fb6de01, 0x45a0af28, 0xb5351341, 0x1e446227, 0x612642ee, 0x44fff8b1, 0x3262d53c, 0xfcc3c771,
+    0x12e140fb, 0x86f96cb1, 0x08bd8ac7, 0x14fb00b9, 0xd3e17a5c, 0x6765adbd, 0x4fb4abd0, 0x3258cc55,
+    0xf3d51b63, 0xf6c3dbb9, 0x52044e56, 0x28c78502, 0x65c9a1bc, 0x5a3dbfd4, 0xbe948467, 0x588f3d31,
+    0xf8c77b73, 0x160edaf3, 0x6e9bf216, 0x7fd00839, 0xe0e094eb, 0x3c7877f3, 0xe9532bf6, 0x7eaa7c90,
+    0x6085a57d, 0xdcaa50fb, 0xb557be9d, 0x1a19ec58, 0xccc2157e, 0x0bc198ba, 0x48733fa0, 0x4adcb5ac,
+    0x43b6924d, 0xee276893, 0xc253f42f, 0x2dfb5e07, 0xa54bd42e, 0x734faa18, 0xff47d481, 0x8ffbb50a,
+    0x0d7e51e3, 0xa92bf7b8, 0xbb5943ff, 0xedabd625, 0x7881a3fc, 0x05387d20, 0xf02258fc, 0xd5796fff,
+    0x3ba988f7, 0xdc2245f9, 0x3d23c51e, 0x2036dff9, 0x4fda21f3, 0x2676da41, 0xdaf2f0f0, 0xb7fb32ba,
+    0x32cb63e5, 0x364ccfdd, 0xce2d9973, 0xf7ccc20e, 0x7a3de0d1, 0x617b5211, 0x53881c3d, 0x7f673012,
+    0x8811c8bf, 0xc681ff3a, 0x3bbc40a0, 0xe195c12f, 0x0de9b0e7, 0xe18fa2a3, 0x8abef491, 0x8d79618e,
+    0x966cab06, 0xcdbba07c, 0x77504e50, 0x3f6a1d49, 0x9f9d75d6, 0xe7a97faf, 0x17583579, 0x27ee131c,
+    0x007e9334, 0xae8f0d1f, 0x1d917021, 0x3927d441, 0xa6acfb30, 0x7d924444, 0x42748dfa, 0x6867e34a,
+    0xeec46bb9, 0x7e0c5eb9, 0x5e1e385a, 0xcedc24be, 0x5fc52605, 0xad570b55, 0x8afe0f5a, 0xea1a94fc,
+    0x1ce3657b, 0x298b5cea, 0xc4d2695a, 0x96d2d9fb, 0xafc4c7ce, 0xd0ac2be6, 0x930fa015, 0xcc6f7f9a,
+    0x63be6268, 0xaef0d40d, 0x478086a1, 0x4d9a3522, 0x980d924a, 0xa31d0f88, 0x8e70bda2, 0xd87bac82,
+    0xe57a5fd2, 0x0f670bb3, 0xc4a152c7, 0xf77358da, 0x86bc5faa, 0xd4e5c596, 0xc3a69840, 0x9204d27f,
+    0xb820c48c, 0x9db120bd, 0x1075dfb7, 0xf5c8fd0c, 0xfea03360, 0x86ce1575, 0xadaf6d7d, 0x603d6040,
+    0xa00ea6a8, 0xfd1001a1, 0x3f7860de, 0x13a8a5a4, 0x3e8ff981, 0x4a71073d, 0x7c056cb7, 0x2627960a,
+    0x8dffebcd, 0x95e051d2, 0x476bdb28, 0x393931f5, 0x01cc6977, 0x54176956, 0xe62216d4, 0xf5509a13,
+    0x4777eaed, 0xf2a92699, 0x84d4a009, 0xb01e56a6, 0xb3e025bf, 0x14084e43, 0x3909c584, 0x0ceb92c6,
+    0x4397a4c2, 0x1d57b325, 0x4a036f0d, 0x2a9bcf3e, 0x57ca0f4c, 0x5b3ee133, 0xd5a1f6e7, 0xa37883f3,
+    0x361955ca, 0xd098faaf, 0x7f005574, 0x8ae23e42, 0xec561f8d, 0x637026c7, 0xba331f6c, 0xb05666e0,
+    0x5737ea32, 0xaaff0721, 0x338adef2, 0xb614b60c, 0x3d0ebde6, 0x00b5bd60, 0xce3af339, 0xb2195281,
+    0xab9a25fd, 0x84204ab0, 0xc2f8fb7d, 0xcc5799e3, 0x58bc1e76, 0x228f1177, 0x66c0106f, 0x4a7c8ba2,
+    0xacd6f884, 0x44baea81, 0xe82b9f0f, 0xceb84d09, 0xee6dba97, 0x932ac3d3, 0xeb7f079b, 0xdadce06a,
+    0xc120fbec, 0x46335d0e, 0x1c49c444, 0x47806ee3, 0x7ca6fd5f, 0x06d0d7c8, 0x70f3db20, 0x523a8704,
+    0x761555af, 0x6be33cbb, 0x7c386bc9, 0xcdeb4225, 0x16ea14a4, 0x579e7955, 0xba6dfe49, 0x6020ff94,
+    0x68130bc6, 0xdc82eee8, 0x6c4a08e7, 0x2c7608b0, 0x8bfcd5da, 0x00ef9c66, 0xa4f24f03, 0x66dde101,
+    0xa66fb156, 0x37f811a9, 0x22a3ed6d, 0xb26c8016, 0xda612219, 0x301f64c7, 0x5cb4b7b8, 0x16f5b73d,
+    0x3056bbe4, 0x0795ba1e, 0x48cf27e2, 0xa91af35a, 0xc1306bd2, 0x93a3524e, 0xa39b8a0d, 0x31810ee2,
+    0xfd4be4f4, 0xcf0dc323, 0x5612f48a, 0x76ca3a0c, 0xe757c3d3, 0xad781557, 0xee416fe1, 0x72bc9672,
+    0xaa937044, 0xb9f43003, 0xf57bf45f, 0x30f0c811, 0x19c87a35, 0x023daceb, 0x63db80c2, 0x647d3516,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000075557863725914323419136 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a3, 0x715fc924,
+    0x00000000,
+    0xb477f70e, 0x62513322, 0x6edb3ec3, 0x0c6265bc, 0x293b18fc, 0x439ebed8, 0x0da67f67, 0x4b73d03a,
+    0x8aba343c, 0xc9d36b14, 0xa16cb1a0, 0x821cdc60, 0xd17ccf91, 0x298b675e, 0x38e5e001, 0x27b0d496,
+    0x966d3b89, 0x2c4edde9, 0x8e88fde6, 0x6b97d609, 0xcb13abb0, 0x8ed72605, 0x729c98c4, 0x54aa294d,
+    0x3fafbbaa, 0x0d980276, 0x6ac40cae, 0x49a09a55, 0x48b928bb, 0xc4c984d0, 0x1da754ca, 0x3eda329a,
+    0x16aa4655, 0xe7e2f6cc, 0x28ba35ed, 0x3d5fbc06, 0xd2f062be, 0x7cc4ef49, 0xf090f6bf, 0x5479e0f4,
+    0x2186a49f, 0x3fff4881, 0x9a250c5e, 0x545c23fb, 0x50dd1bb9, 0x14a0dcbc, 0x2e45795b, 0xf4dfda71,
+    0x25a26c8b, 0xf7ea5a95, 0xf82c3a88, 0x96be6ae2, 0x1923603a, 0x6edff0b1, 0xb59e0d27, 0xaac55ebd,
+    0xfc8db3ee, 0x7127d29e, 0x5bf4e112, 0xdef2d089, 0xa844568d, 0x5a67c380, 0x076c27a3, 0x6eebe4af,
+    0x5eef110b, 0xb4740d0c, 0x90121e9d, 0x8fbcd090, 0xa93a3d1c, 0xa7b45505, 0xffa16429, 0x8e3874a1,
+    0xaf14c1d6, 0x06d9cb2c, 0x7e18bbcc, 0x750e50e6, 0x6fa8bf86, 0x7443100e, 0x94ee2d66, 0x682c05e0,
+    0x502948cf, 0xb3761db7, 0xf41d9b60, 0xbbc1d81f, 0xe8966276, 0x5618450a, 0xbadeeda7, 0x79430b92,
+    0x3acb00ec, 0x8cf6b0e6, 0xd838b180, 0xdcc92678, 0x16b595ab, 0xd623932c, 0x6a9f3b88, 0x8e2d6dd9,
+    0x15a5b328, 0xd0f9eeb2, 0x43e51bdf, 0x34fca682, 0x3681dcd2, 0xc8fb52a0, 0x8961747a, 0x358157fe,
+    0x80a367fd, 0xf5a156bc, 0x808f66ac, 0x09fefffe, 0x1c19a19f, 0x4ff8e63d, 0x1a845b21, 0xe3970320,
+    0x0e34cef0, 0xbbbcc5af, 0x658b43e9, 0x1df2f6b5, 0x0233dcae, 0x4bde44b5, 0xe3aea1c0, 0x045b7dc3,
+    0x674bc109, 0x9f7bf485, 0x15c943e1, 0x2d3a7db7, 0x45eeaa05, 0x3dad05d3, 0xa867559a, 0x19390f38,
+    0x7b67fd98, 0x78823556, 0xc890d6df, 0xf2cf1d21, 0x82af2eed, 0x271d7094, 0x6ec67d3f, 0x27d1cb55,
+    0xb2b497b5, 0x6857d93b, 0xacccba0e, 0x77404e1d, 0xb48ccee4, 0x2b2761e6, 0x6a1587a2, 0x389b9206,
+    0x13bde943, 0xaab27a07, 0x1860f964, 0x275b07c3, 0x04f4fb90, 0xe20eb6d8, 0x90d233f7, 0xa083164f,
+    0x0e3074d5, 0x8c818249, 0x6986a802, 0xf390e33e, 0x76592d89, 0xff6e39f3, 0x82071ffb, 0x04374499,
+    0x516a5f35, 0x952a5ae1, 0x9bda117b, 0x583e73cc, 0x5b64dc8a, 0x455342e4, 0x3dec993d, 0x0133bb1c,
+    0xc506d3fc, 0x1d5dc2ed, 0x154b971e, 0xab3a7557, 0x93100f52, 0x0fbcb054, 0x5fca8726, 0xef340e32,
+    0x034eb141, 0x9631df0b, 0xd5d985d0, 0x7c58a484, 0x8b3567dc, 0x97e958a4, 0xff319adf, 0x267bc15c,
+    0x120e2054, 0xdfd6a7db, 0xcdbd43f0, 0x80ca7686, 0x7483255a, 0x525a7928, 0xa03ddd91, 0x239dd372,
+    0x77034d97, 0x06aec465, 0x743ac29a, 0x5dd42ead, 0x8f89de28, 0xef97cece, 0x1108a483, 0xf4e4d3cc,
+    0x8d1a5604, 0x4814a55b, 0x3606fb12, 0x49964847, 0xe293a81b, 0xa912c946, 0x9998cb84, 0x3c8194f2,
+    0xc1f35513, 0x12db711e, 0x89d1c53c, 0xaab572e2, 0xf8fb41bb, 0x1aaf2054, 0x6ac908fa, 0xb971ff12,
+    0xd1edfc4b, 0xe2e5f735, 0x45b99315, 0x5487be24, 0x6f423383, 0x9f83005e, 0x94d0a0be, 0x38e9829c,
+    0xb5e710e3, 0xf4659f5c, 0x79541dab, 0x328f99ba, 0x8b466bfe, 0xb1f02cdf, 0x67490c48, 0x1dbc28ab,
+    0xb2f45f77, 0x02f498ba, 0x6d00c55a, 0x1eafe52b, 0x2a76ac4e, 0xab75aa33, 0x50607fd7, 0xf7019f58,
+    0xd3f11db8, 0xd44cc04c, 0xfc76c622, 0x07f28886, 0xb36da9a2, 0x8ba4a958, 0xf855cb3c, 0xff5674f9,
+    0x15c1e38b, 0x3254a715, 0x9ef5ee1c, 0xb73dbf6f, 0xa647bd93, 0xcf930b31, 0x7b695c29, 0xd8f7eef4,
+    0x700ed78a, 0x492533bf, 0x181a3e55, 0xa252fb9f, 0xeb49a4e3, 0x48dde30b, 0x8c30c682, 0x48b4f40f,
+    0xcdec4bcc, 0xc86cc706, 0xce87d92b, 0x82bd4535, 0x1f4a56f3, 0x93987ae3, 0x4d228ed7, 0x89f614f5,
+    0xbf5670e8, 0xbd99100b, 0x7858126b, 0xb59c14b1, 0x345d90d2, 0xfcb8c277, 0x7e121fc6, 0xad1daa98,
+    0xdfde285c, 0x1246baad, 0x3bc3a16c, 0x09ce3411, 0xc7b245ea, 0x4a26434e, 0xdabddd72, 0xb98c118e,
+    0x3f282c86, 0x82363ca7, 0xdfa475f8, 0x6f64325c, 0x31795c92, 0xaea8e8c1, 0xb3d8c0af, 0xf8221060,
+    0xc68a2f22, 0x057572de, 0x2470459f, 0x7c041fe3, 0x890054b2, 0x56901a8f, 0xacd1ea59, 0x41cf5b29,
+    0xb9db1546, 0xdab376fe, 0x41cf0a56, 0x40e2a49d, 0x69b0aff9, 0x50452daf, 0xd2e6d65c, 0xcb8885ac,
+    0x8ae1df03, 0xd203f8c1, 0x5f40d839, 0xeb580afe, 0x8e5e275d, 0x80915ac4, 0x07466f64, 0xaf3c0d9f,
+    0xd2032893, 0xdaad02cd, 0x317c0857, 0xce0a850b, 0x41521396, 0xc7118b6a, 0x2bb19dc0, 0x08a8a42a,
+    0x721e6bda, 0x95b5c9f0, 0x28c4ce82, 0x3a92b2e6, 0x700caea8, 0x1bc98cb3, 0x39ede6ac, 0x14ad4a3c,
+    0x6921cc61, 0xe1eef31b, 0x38cead17, 0x423b316a, 0x1b59bf32, 0x94271d72, 0xe6434f7b, 0x7f98be58,
+    0xed78585f, 0x214d55f4, 0xe2239034, 0x833caac0, 0x74a39144, 0x24a14f93, 0xff2ca223, 0xb4e77309,
+    0x6b1712b2, 0xca230aab, 0xd54cff70, 0x9fbd3096, 0x28c5f3da, 0x6327f862, 0xdadfde28, 0x045cb6df,
+    0xa4ab4893, 0x08a3ae63, 0x5a0eea3f, 0x8e697abd, 0x031b4a20, 0xa0793650, 0xc839abb8, 0x37bdc078,
+    0x6ffc89e7, 0x3f3b4b6a, 0xaae8b0fb, 0x56fb71ce, 0x713a331e, 0xa93da2eb, 0xea626328, 0xffd5828a,
+    0x51101105, 0x1c22c39e, 0xee40bb18, 0x386ffa95, 0x51be435e, 0x00db29d0, 0x7b3373bf, 0x5e5f8f7b,
+    0x657d2821, 0x03b8c4d2, 0x049ee2f6, 0x7e13fd5f, 0x6dfa88ff, 0x48fd6474, 0x52282017, 0x19a15755,
+    0xa0fc5f77, 0x671b56ee, 0x752969a1, 0xa0260ede, 0x08bd0588, 0x7dbee9f2, 0x116e48c6, 0xb35813c2,
+    0x6725349c, 0xc04aa281, 0xa544fcae, 0x6cb4d514, 0x86dbaf2d, 0x88b1001e, 0x9108cfd8, 0xe1e5e4b2,
+    0x2f824015, 0x2740e0e7, 0xbe5f91a1, 0x8516e4bd, 0x94fe1924, 0x2d1c7f20, 0xb7cf2f0d, 0xb6b8ac88,
+    0x0a42f0db, 0xfc2bdec5, 0x464e5b2d, 0xdc49a557, 0x93173e50, 0xce7d27ee, 0x8cbf31a2, 0xe22d8ad8,
+    0x97dd2a65, 0x5459e627, 0x17d43a09, 0x9ecd8a2c, 0x44cf778f, 0xa911f29a, 0x496154cf, 0xd3b7df9d,
+    0xebe35b94, 0x0a3f58ab, 0x97cf89c3, 0xd10195e0, 0xbc6759c3, 0x0f5ecf7e, 0xebb199d6, 0x83f49976,
+    0xcc95bf8e, 0x55d20042, 0x0ba1bd9e, 0xc9cf75e9, 0x576f4d06, 0x6e20f407, 0x8da516a9, 0xb458907a,
+    0xd9669047, 0x790feea6, 0x805a814d, 0x435c9b03, 0xe165c03c, 0xf2609cce, 0x0f299a93, 0x787531ea,
+    0x8edf0ebe, 0x56c5b39b, 0xaa90ace8, 0xbe205768, 0x6a701c15, 0xbe60b68a, 0x625f38ac, 0x88d7e033,
+    0x2b92096e, 0x9d9917ce, 0x6f4a13f4, 0x7cc19f5f, 0x9c7f9e7e, 0x2506e372, 0xac70de16, 0x1a8c4600,
+    0xe91979a8, 0x69f7d02a, 0x0ea6f08d, 0x58b463e5, 0xd2de1954, 0x31cf147e, 0xac4d4db2, 0xfbd695ca,
+    0xfa25011d, 0xedd2cf2c, 0xf277e29a, 0xf7d90706, 0xa60d4363, 0x8b0a3e51, 0x67113fb7, 0x6405b42a,
+    0xc07dbd0e, 0x4dbe7b17, 0xc4b9f030, 0xd166d0a9, 0x3a968159, 0x744cb64c, 0x20da8920, 0xc9104c2a,
+    0xf26935aa, 0x80a40cf0, 0xb2b0f679, 0xf733faf5, 0x4cc99979, 0xc8096d2f, 0x0c3aa9a5, 0x37f8e1bd,
+    0x56d41d7c, 0xb504c24f, 0x37153206, 0xa1d965b9, 0x668a5567, 0x48917edd, 0xd4af3f5a, 0x609e847b,
+    0x197c930b, 0xa2cb1f90, 0xb91e7bb6, 0x308019c5, 0x9d24c3ca, 0xe7d69a20, 0x05f36fa7, 0x0b1f470d,
+    0x807b55f1, 0xc16e1c67, 0x5bb59a2f, 0x12e5b101, 0xd151c1dd, 0x87ed753b, 0xec200a51, 0xf4305e30,
+    0xf66f2c38, 0x7dffba75, 0x561c0135, 0xdc348d57, 0xabf1197b, 0x9b103203, 0x32c47532, 0xcfdda490,
+    0x11d4ebde, 0x3f7a6ba3, 0xeddcd148, 0x4346b5e8, 0xa5f8644e, 0xa1973035, 0x6b746538, 0x309ee0fc,
+    0x05b81bdb, 0xf833d404, 0x9e91ef8f, 0x2ddb1092, 0xec0f0288, 0xe61b868d, 0x02ab4329, 0xd10405dd,
+    0xa9aee14c, 0x71d65256, 0x12705d2a, 0xe49310f5, 0x8243196e, 0x2fe88667, 0xbf18907c, 0xf3953933,
+    0x61877443, 0xab3eeb27, 0x24b05149, 0xbe68f368, 0x168cef33, 0x1e927c79, 0xf5006c53, 0x171343d6,
+    0x497f2df8, 0x4fcbc3f4, 0x36e0330f, 0x478fd236, 0x4eb21ef8, 0xdb9b9052, 0x35ae9beb, 0xa411a220,
+    0xc0f499dd, 0x149869ec, 0x18e5e447, 0x46f62fee, 0xe11fe6d7, 0x8c14a0ef, 0xd3a993d3, 0x3466e6ce,
+    0xc9aa5a01, 0x085d26ea, 0x04299a2b, 0x1d993d17, 0x08316201, 0xc0ad7e8e, 0x094d5de3, 0x80f9d1a1,
+    0x12f40cb4, 0x3ccbe1f2, 0x73b420da, 0x01bdd1a8, 0x2e7f7e75, 0x314c0b9f, 0x11fe2917, 0xe3475228,
+    0x1e473dbd, 0x77ab97ca, 0x75ca5282, 0x953fc496, 0xaee600c8, 0xf38f9d55, 0x891d87e6, 0x19fdb8ad,
+    0xc60105f7, 0xff4d96a1, 0x5a193915, 0xae6d9b4f, 0x5ec0cdc9, 0xb585c0d6, 0xe7b0d47a, 0xec71bded,
+    0x9b2dcbd4, 0x79b53bca, 0xec3b7737, 0x4a6b30dd, 0xc278c539, 0x2bd2a622, 0x7bb3c367, 0x14ed6bc9,
+    0x7c0ae669, 0xb9389619, 0x1bca1646, 0x59846c25, 0xe1ed03b2, 0xc0a694b5, 0x63345cd6, 0x0a4368d3,
+    0xad8c997d, 0xb55cd808, 0xcb5f8acf, 0x1c8cce95, 0x23967a97, 0xf22b0889, 0xae1269ff, 0x54b81304,
+    0x974bede3, 0xd5b31455, 0x0bd63a50, 0x41fdb1e4, 0x5908bb32, 0xfec00537, 0xee5241d2, 0xc0a292d7,
+    0x74a0422e, 0x9cba86de, 0x4b8c8e36, 0xf00338d7, 0xa2867fed, 0x80bb22d3, 0xa94ce07b, 0xd6a0ad23,
+    0xb56173cb, 0x0249bb56, 0x6a55fa8f, 0x73e70d6b, 0x8d9ffccd, 0xf4d12f3c, 0x1ebf6daf, 0xd2d22b00,
+    0x80509a25, 0x1d4f62cd, 0x9da1b785, 0x607a8bfa, 0xcd0f12d8, 0x54282818, 0x2d21d929, 0x380029b7,
+    0x0b63d7e0, 0x76746345, 0x2e464750, 0xc273f05a, 0x8d35bb7d, 0xae5a83a0, 0x94997eaa, 0x19360231,
+    0x8bc32936, 0x5fd87ddf, 0x8f1b07d0, 0x38dc2ccb, 0xc944dda5, 0x7be3bf18, 0xb42af68d, 0x6194d5e9,
+    0xfde1b7b1, 0x0515d8ac, 0x1438a1c3, 0xafcfe559, 0xc6d3b115, 0x0febc612, 0xe479066c, 0x9379c304,
+    0xffb64fc0, 0xfd61da10, 0x36f185ca, 0x7f3d768e, 0x709a44bc, 0x5df1dea1, 0x7965675c, 0x1b08f647,
+    0x6fc25457, 0x55d195e2, 0x3e8e3085, 0x2d71108d, 0x8dc73b20, 0x9e3a65ca, 0xac65623c, 0xd191cea2,
+    0xd726230c, 0xa2c71f3e, 0x66fa5f18, 0x8cf6d423, 0xf4f082de, 0x89438fd8, 0x9b23d8c4, 0x0dfdf239,
+    0xb2a1ea0b, 0x052cba76, 0x17a9d791, 0x02fcb692, 0x84a2a8fd, 0x29461ca3, 0x63033166, 0x6fed873f,
+    0x16e74ddc, 0x5e5e3b69, 0x72f6f35f, 0x1df43e8d, 0x2556623b, 0x2c49766f, 0xcf17736c, 0xb75dbc69,
+    0x02770fb7, 0x3097ea68, 0x4a8c25b4, 0x80596e3e, 0xb45416c5, 0xb2239236, 0xed4d2cec, 0x80a4db83,
+    0x4a69f39d, 0x435c6203, 0x13852ef9, 0x9aa8c32b, 0xda4964f6, 0xb594f220, 0xf9590d9c, 0x313c56e3,
+    0x2c434ece, 0x29cfbcf6, 0xa57dcbfc, 0x1cfaef40, 0x8fe4b433, 0xb45e01f3, 0xc906e79c, 0x28f4a4c9,
+    0x3edd083f, 0xafa5ea93, 0x2c610c0c, 0x569214a9, 0x02208e04, 0xbf032f0d, 0x5c3dce92, 0x882a8c08,
+    0x2904da03, 0xd0f5cf10, 0xc5b35adc, 0x7a75d86a, 0x0099a487, 0x120fe7a0, 0xf0f0e245, 0xf4d312b0,
+    0xb1043465, 0x6f4e27f7, 0xeb7f1e2d, 0x4e3125b4, 0x38ee8e32, 0x76435469, 0xd72a2bdf, 0x11d44fb7,
+    0xd65e185d, 0x1fb87fc6, 0x2b093b12, 0x1c4794d4, 0xabae9936, 0xe175c9c4, 0xc975009c, 0x3d80a288,
+    0xc8802214, 0x9dc97430, 0x3ea22a7c, 0x49595474, 0x0a06d45b, 0xbba35211, 0x3a538254, 0x01d7c150,
+    0x2058f783, 0x3e6d20f0, 0xef217efb, 0x6539db72, 0x4893a892, 0x207c4ce4, 0xcb49844d, 0xb24740fd,
+    0xe705897c, 0x4a7a20a5, 0xdb78fde4, 0xd244c531, 0x05f453f7, 0xed90c1b5, 0xb431d41a, 0x7ab0ef2b,
+    0x08cc0281, 0x3e06c48b, 0x5b6fa0b7, 0x1266f086, 0x8013da6d, 0x69acf878, 0x3d89f774, 0x0da9556e,
+    0xe6bd91a4, 0xa996aa0f, 0x7ed5ad71, 0xa5e773e1, 0x5fc909ff, 0x4f40e32a, 0x7cb4040a, 0x5f3f242f,
+    0x5c7f942f, 0x3bd4f690, 0xe61f96bb, 0x48d86656, 0x173fcd09, 0x2f02dc85, 0x1876344f, 0xf11b52cb,
+    0xd05d5be7, 0x82e06b1e, 0x6472a0e8, 0x3e19e51b, 0x4afb12d7, 0x3999cef2, 0xc14f705d, 0x1637d36f,
+    0xc92c60e0, 0x0cfddf40, 0x82917750, 0x7318880f, 0x19886141, 0x3bf4a432, 0xca9a0ee1, 0xace287db,
+    0x1321de52, 0x491e061e, 0x4d3bb4f6, 0xc15a0907, 0x028d9fd8, 0x78184dcf, 0x8a01ac38, 0x1ce857ba,
+    0xaa608430, 0x5196c85a, 0xcbc9a990, 0x8838e8c0, 0x7986688b, 0x75b72cb8, 0x06b40a3f, 0x0e1671bb,
+    0x983d4d7f, 0xc037e0e4, 0x63635f3b, 0x4cb1d351, 0x29314b0d, 0xf8eff805, 0x8ee391a6, 0x15849249,
+    0xa6ba9457, 0x81cab310, 0x051ac080, 0x5a765f34, 0x963d346e, 0x08fcf0db, 0x81d1f342, 0x27a3a89b,
+    0x1d78997f, 0xd9eab474, 0xdbb62a81, 0xa870806c, 0x92447f06, 0x2939ec07, 0x94c6d117, 0xfcb2e978,
+    0x5f5012df, 0x410d4521, 0xba725443, 0xf7ec71f8, 0xa315fc88, 0xdd5bc197, 0xe3185545, 0xb8c8dbe4,
+    0xbca0b709, 0xf7902771, 0xd9b666f8, 0xeaac22f0, 0x4fd91f8a, 0xcdff7679, 0x51eb8b97, 0x540060eb,
+    0xe25e3562, 0x6dfd1c0b, 0x1c6b8fc2, 0x5e0649f3, 0xe753e631, 0x51bf9dcb, 0x845ee1f7, 0x3a6171b7,
+    0x250ae67b, 0xede06c30, 0x78df399c, 0x8b6c5068, 0xec804250, 0xc75320b3, 0x38011287, 0xa9f52771,
+    0x86c0dcc1, 0x70c80ffb, 0x7364e264, 0x8c62788b, 0x4780e2b4, 0x8cb1297a, 0x12d4e668, 0xaf7c1f90,
+    0x1e9ffcc2, 0x6bc85b93, 0x7238599e, 0x9a8492ca, 0x3ea4f551, 0x62f09b42, 0x3a3fa9cc, 0x87d326b1,
+    0x238d7770, 0x98dd05b8, 0xf3f029ef, 0xc5cfe995, 0xe5966a9f, 0xec7419e5, 0x23acdbd5, 0x27aa2dc4,
+    0x09f6ba97, 0x7166dc5d, 0x012cd4e8, 0xdd12f7fe, 0x6166a21a, 0x5035e8c0, 0x4155bc82, 0x09c04464,
+    0xda4dcd77, 0xabcbb135, 0x9de88911, 0x41f7ddc3, 0x636d0eeb, 0x74758b4a, 0x62abc5db, 0x1a19e712,
+    0xaf96dd49, 0xa5c96324, 0x9ad6f7b7, 0x1cc1e21d, 0xa47e7d9c, 0x420efbc2, 0xc89cd58b, 0x53440a18,
+    0x0490aa09, 0xe1643eb1, 0xd1d116b4, 0x3ae41809, 0x01fca0c9, 0x0a6a5d00, 0xb28dd463, 0xea855e01,
+    0x4d864ea7, 0x85a7b72f, 0x31abf7f7, 0x96959d40, 0x21885739, 0xaa5da886, 0x565ff6e3, 0x3a5139f9,
+    0x9028fb0a, 0x28dbc626, 0x69ed390d, 0xd61cf2fd, 0xdb63bd0e, 0x7f8fc506, 0xaa01194b, 0x62de9c34,
+    0x4207bdae, 0x7fd606a1, 0x953076ba, 0x9c7e987d, 0x5fc1cc72, 0x6ca30acb, 0x7439a5df, 0x414858d5,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000037778931862957161709568 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd1, 0xb8afe491,
+    0x00000000,
+    0xd6f117ed, 0x0e34a2ab, 0xe5858323, 0xd144f3bc, 0x48cb2f50, 0x0d5e257e, 0xb584de35, 0x1c13850f,
+    0x483119fe, 0x939d4809, 0x81fdfac5, 0x754b042b, 0xd8059ceb, 0x0c618fc5, 0xa690fa00, 0x90d5e2e9,
+    0x7773b9ae, 0x93a2c6c4, 0xc9809614, 0xcd93be9f, 0xc5467c2f, 0xdecd7095, 0x537976b3, 0x49c34883,
+    0x33678a8c, 0xd55a3e1f, 0xa409b1a9, 0x6a6feef3, 0x6f1ecdad, 0x47422ee5, 0x4249cfb4, 0x2b0764ec,
+    0xc3411d66, 0xa883beb3, 0xf09105ea, 0xa898672e, 0x3264fd15, 0x08e885a5, 0x5d816518, 0xd8c8932b,
+    0xf6912894, 0x6d313991, 0xff6e2f41, 0xe90cb8e7, 0x2baffcdd, 0xfa7d007f, 0x2a1d3013, 0x750c9fe0,
+    0xe402ea35, 0x566cc911, 0x62d474e7, 0x36193556, 0x24bf4a1c, 0x3964bccd, 0x99812524, 0xf194cdef,
+    0x87e2d318, 0x2d3f21be, 0x868bf377, 0x2a37fa24, 0xfb6c163d, 0x18131907, 0xcdc5ab0d, 0xbf596d42,
+    0xfe080749, 0xbbe792f9, 0x6e8e4c7b, 0xfb910ac3, 0xc2d6c476, 0x7b2ed8d2, 0xb5d99287, 0x36df6cd3,
+    0xb3aed5f4, 0x57b8010b, 0x1475b26f, 0x671c1861, 0x0d8635e0, 0x72ef2963, 0x473ccb93, 0xfa80a01a,
+    0x76ab7680, 0x29f2a122, 0x51ee1bc5, 0x31a7184e, 0x5d4d4011, 0x0e6d9537, 0x59ce4dee, 0x57515fd0,
+    0x9b3e1cf1, 0xabbe5045, 0x4f445e1f, 0xbca35ff9, 0x5375b594, 0x3c2e7504, 0x3a607475, 0xb92c1e8f,
+    0xb9c146fe, 0x5978d39c, 0xdf4f8ecd, 0xc0b8dbb6, 0xd3cc8afb, 0x39be49f7, 0xf1a8c510, 0xac04864d,
+    0x01a15f8c, 0x1a03ee61, 0x9eeda0b3, 0x01a057e4, 0xa3585095, 0x4d3943b8, 0xf9e37e13, 0x9de2f1a7,
+    0x5f3ee983, 0x8ae92ae8, 0x4efb612d, 0xa337ee58, 0x5a0f30a5, 0xd11391d5, 0x266b9e3b, 0x18dd912d,
+    0x7e3ed470, 0xb65cffdc, 0x744183c1, 0x7e268469, 0x27898c7a, 0x51fc6ab2, 0xaab682f2, 0xf1cbfb3c,
+    0x44cc9660, 0xc4b4141a, 0x762ea6d1, 0x69dad43e, 0x8a4a7f5c, 0xf7c33bac, 0x4905a999, 0x84ec042a,
+    0x0f355578, 0x5a51bfa3, 0xe748bd46, 0x09aff31b, 0x5bb46478, 0x370965f2, 0x1f1975bf, 0x73d474ea,
+    0xd7af3e56, 0xf79048fa, 0x156d9e8f, 0x8b35c8e9, 0x4457e918, 0x746a27db, 0xe0bae897, 0x3f58b6d6,
+    0xdc54eb2d, 0xbfbcf3df, 0x0299cce7, 0xb728d2e8, 0x0f305e4b, 0xc7e9f46f, 0x9f415bac, 0x8c041090,
+    0x4bcd2cf2, 0xf0273064, 0x86af8a0f, 0x933b64e6, 0x625f8ad8, 0x2a2c892c, 0xf8b7d755, 0x09f54ec4,
+    0xcf0f3253, 0x66785da7, 0xfe9ecff6, 0xfccc4b8b, 0x33bbd5a6, 0x9e39a3e4, 0xbdf0ceaa, 0x5635d55c,
+    0xa3c8e55c, 0xebf92278, 0xfef59220, 0x3847ee51, 0x68d1aa75, 0x7675acab, 0x9447c749, 0x1803d329,
+    0xf21412a9, 0xd7dd39a5, 0xcedfa009, 0xa8d65125, 0x2e1a13ca, 0x82b282a1, 0x790ed798, 0xe8c8f900,
+    0xf17e1f34, 0x557221e8, 0xd1180734, 0x7563ef7c, 0x77c4750a, 0x5e8c9b52, 0xb0d3361a, 0xb6ab0f8a,
+    0x96b3c9c4, 0x41adcded, 0x130f5877, 0x455e45ce, 0x8f88a323, 0x75ec171a, 0x835e36bf, 0x78ee0bfd,
+    0x094852cd, 0x60e4e4c8, 0x8bc4fa6d, 0x3670b7b2, 0x359a427d, 0xe52460df, 0x2e2f69dc, 0x3d961ebc,
+    0x41a04588, 0x435a9507, 0xefe2024e, 0x9a80c1bc, 0xd6f0b2e4, 0x31a4531b, 0xd020fd94, 0xfe82a170,
+    0x9d4706c9, 0x7fdfbc47, 0xe3224826, 0xe2f8cc6d, 0xb33fd80f, 0x4305c4ce, 0xe3c26979, 0xfe98026e,
+    0x3a9dc88a, 0x480ec5af, 0xf6187469, 0x0d54c4ee, 0x24962837, 0xbf3d8d2f, 0xbb928d95, 0x580f1ba1,
+    0x02767bb4, 0x22149828, 0xeda987fb, 0xec39b4d5, 0x42c709ed, 0x134e11cf, 0x6bd216eb, 0xb39a2736,
+    0x7899e0f6, 0x05ebebde, 0x6054839f, 0xdb9e8e07, 0x517ce29b, 0xfbff0e45, 0x685abb48, 0x061e8c7f,
+    0x1462ae91, 0x0018ceaa, 0x256f7b8e, 0xa298a099, 0x59ba6baf, 0xf756ccdb, 0x8a74cdac, 0x5b404ec3,
+    0x749f7d2e, 0x0569afc0, 0x4de93346, 0x5225c23a, 0x4f99dc2a, 0xaaa9cf5f, 0x5873c0ef, 0x425d9691,
+    0x953680b0, 0xa7f1ad72, 0xb33266c9, 0xf81d9298, 0x55e89be1, 0xea1308f8, 0x049d9f01, 0xefb2e753,
+    0x903430b1, 0xadbc089b, 0x59fd91d8, 0x879c4559, 0xc8a797ac, 0xc32b24fa, 0x95f29a99, 0xc88d5213,
+    0x6732dbd2, 0x10538bed, 0x5db0daae, 0x06ca3ca5, 0xa9c599c5, 0x479df41c, 0xf4043d5c, 0x7e774b88,
+    0x076d396f, 0xe32a7f5e, 0xab31ba0e, 0x942cbfdd, 0x477efab0, 0xfd20c9d6, 0x4fb8a1f1, 0xed4b6444,
+    0xcc4127d7, 0x471990fe, 0x98655c17, 0x1f2b8d07, 0x7071fce7, 0x6a1e201b, 0xd7a57e7e, 0xadacf2a3,
+    0xff8e0d02, 0x486c53f3, 0xb468294a, 0x10affcfc, 0xe8f9c4fd, 0xec70de96, 0x887a1477, 0xcf3e17bb,
+    0xe7a9b897, 0x3329bdff, 0x113600d8, 0x63cd6f71, 0x3553b3a1, 0x669a211c, 0x8d066b87, 0xaca99a24,
+    0x372d2f6b, 0x41347d82, 0xe2b075c3, 0x93227c66, 0x3caadb03, 0x3e2e6e88, 0x2f84c856, 0x5db14016,
+    0xf76b8ed9, 0x5019d26b, 0x61d6afdf, 0x04266c7e, 0xc614c39b, 0xc508a49f, 0xb34e1a52, 0x006b1aed,
+    0x8d7706bb, 0xe0856271, 0x92704335, 0x891d030d, 0x59e46167, 0x3a078755, 0xbd5edf3f, 0x3867387a,
+    0x3913b6a4, 0xdb613b0b, 0x2024e233, 0xb01a80db, 0x4a9b0655, 0x3d06caa6, 0x3f53510e, 0xb4cecb81,
+    0xe1f3c106, 0xe6292d4f, 0xa4090ea9, 0xb617183f, 0x224a98ef, 0x38a3615b, 0x83a58a9a, 0x239e1393,
+    0x1265fbae, 0x92076e64, 0xf37fb6e8, 0xae45dc4a, 0x6e7f47c4, 0x911d94bd, 0xeeba5664, 0x2f2e7c1e,
+    0x84fb8341, 0xc3a08e08, 0xe820eab5, 0x49ce5e1d, 0x40be0b45, 0x3f821528, 0x5ff7f30a, 0x33f7d02d,
+    0x97040b65, 0xb292851f, 0x2d3638bf, 0x922ae58f, 0x70a7bd23, 0x1b5894d5, 0x63b65963, 0x895191ec,
+    0xd46aac27, 0xa6efd568, 0x58ad2ba1, 0x4e1cc362, 0x97501769, 0x6ae3d45b, 0xaf8570bb, 0xdfcbbea5,
+    0x598bd04f, 0xdf8068b9, 0x019a99fe, 0xb0005c1d, 0x10826ab8, 0xbec6c17c, 0x01565f9e, 0xd3d5a3a4,
+    0xa010a7a2, 0x6465538f, 0x63c69263, 0x85dec6d1, 0xe130fbdf, 0xb22f6df4, 0x6923ebd0, 0xcc279813,
+    0xa4f550bb, 0x0821bfb2, 0x9b1f9aed, 0x0ebf9a14, 0xbdba92a0, 0x889866aa, 0xfe7a2ada, 0xc282fdba,
+    0x707d20a6, 0x86f2b5f0, 0x3468d06e, 0x11d251ba, 0x9729a4de, 0x2feaf62d, 0xe1417d30, 0x9d123c40,
+    0xa599605f, 0x6236176f, 0xe2410d1a, 0x4520e6c1, 0xd266208a, 0xee45baa2, 0xbb080cdb, 0x7ab6dfcf,
+    0x4695d632, 0x26318f7d, 0x7172a633, 0x636b6787, 0xa51b1c51, 0xbdc3f85d, 0xf1482821, 0x39a9b89f,
+    0x2d8df80a, 0xefbc8237, 0x6ee8c73f, 0xb22c7de1, 0xcf4b6973, 0xa718cb34, 0x0a77d3f8, 0x29bb80fe,
+    0x64283e62, 0x30c88425, 0xb3afe96e, 0x0707cb34, 0x03323f70, 0x6ca653d6, 0x168184bb, 0x7e6f18b4,
+    0x1826d441, 0xf480038b, 0xdda04b15, 0x84d5b4cc, 0xbbdeda56, 0xee71e272, 0x93ad9480, 0x5856b45b,
+    0x134d19dc, 0xe840e4bd, 0xb00652b0, 0xa923697b, 0x9122eb93, 0x241462ba, 0xfcc45ecd, 0xaae5ef02,
+    0x820af707, 0xbeaa35f5, 0x74413a7b, 0x76a4c02b, 0x23962639, 0x7a0c03cb, 0x959df2bd, 0x7b8e4a0b,
+    0x2493b121, 0xd28b0099, 0xe07ff19e, 0xca99300e, 0x357928eb, 0xb06646ca, 0x6d72fa30, 0xbfc26301,
+    0xb4440534, 0x4bab3299, 0x78f814ea, 0x7523baaf, 0x916615e7, 0x61820650, 0xc9fd83f9, 0xcb33000f,
+    0xf4de1b6f, 0xa070af6d, 0x5cf1dcf1, 0x736b47b0, 0x8a211fa6, 0x6902155d, 0xbff4f502, 0x1f11851d,
+    0xbeec139f, 0x393f37e4, 0x003a59f8, 0xcfcc17d9, 0x46e05152, 0x144e1528, 0x22332067, 0xf0b55848,
+    0xa00013dc, 0xb6533d07, 0x1570326d, 0x7bcc568f, 0x01db9f29, 0x09e7d4c3, 0x196b9550, 0x0223bb79,
+    0x7f16820f, 0xcd0d0dfb, 0x3b7109c3, 0x5dcc1011, 0x9c655806, 0x7ce03dd3, 0x84fd5edb, 0x2706a714,
+    0x1bf1a238, 0x1beffd50, 0x432ec076, 0x578322b5, 0x3c6928ab, 0xaec785c7, 0x3d07a3e9, 0xba13cdb7,
+    0x143a81a9, 0xb1ea622a, 0xab54163b, 0x0d662dbd, 0xd7e70461, 0x96571827, 0x0eebcacd, 0x92af1b45,
+    0xb4344c05, 0x60111cab, 0x43c2503a, 0xf4ed1d32, 0x2cf6e62c, 0x4ed5714f, 0xbe53ddf0, 0x20348fb5,
+    0xa989dd17, 0xb06027f9, 0x3f3fed12, 0xf0e3d387, 0xdef9905b, 0x2863b11a, 0xa785f448, 0xaab61b69,
+    0x7617aa01, 0xd4add928, 0x42694eb0, 0xdacacc78, 0x68e4bed4, 0xdb3a2668, 0x4ef7205b, 0x1845170c,
+    0x82706714, 0xc586e99b, 0xb76c5871, 0x8cc4290d, 0xe5d4579a, 0xe5673deb, 0x078c4b78, 0xd41a351e,
+    0x3aac66b3, 0x8d57e699, 0x05083c39, 0x7ae61b37, 0x351cbec4, 0x370df0a1, 0x5bff7210, 0xf467a11a,
+    0xd238e89f, 0x2441ac83, 0x71b2779a, 0x7d4948b1, 0x803b98a4, 0x95c8b8d4, 0xf780cd24, 0xada5947c,
+    0x3a89262f, 0x065e5de6, 0x5865d8a7, 0xbcbcdb3e, 0xc6f4d31d, 0x90e983f1, 0x3817cdf7, 0x5e6ccecc,
+    0xc98c0ddf, 0x94f611c4, 0x8b00acce, 0x993340a8, 0x548a7e31, 0x1a7068c0, 0x789189c9, 0xaf3095fd,
+    0x5a896d82, 0x31e5e6b7, 0x245c820e, 0x3299dfb7, 0xe5454b54, 0x51ac3a12, 0x2b802076, 0x89b5e064,
+    0x230cc0ce, 0x9b6feec6, 0x2ee17c2c, 0x151f84c8, 0x6b8c5c19, 0x6c9fc7f7, 0xea414054, 0x15cf658a,
+    0x09603d12, 0x2566879e, 0xd04fa54b, 0x3372413e, 0x58d36f4c, 0xd89dc13b, 0x41118e18, 0xad753ee5,
+    0xbe769e8d, 0xa6d188db, 0x2fe24d16, 0x7543e601, 0xfe4940c8, 0x7fc4f299, 0xd7b4db92, 0x8c5a563e,
+    0x11969de0, 0xc7005ab4, 0x24a71b00, 0x400560ea, 0xc1fc6e63, 0xc4def7fa, 0x79d3724c, 0x6dc2a5e0,
+    0xa10d3dd7, 0x5cf406c0, 0xc6a21df6, 0x8efab2bd, 0x5f4cbbfb, 0xc18609bf, 0x88111158, 0x7b76605d,
+    0x0ea9bac4, 0xc0c3c7e0, 0x9a4f04de, 0xa908fee4, 0x959c47c1, 0xb92b8625, 0x3f4903b0, 0xf6c7ef5b,
+    0xc3829015, 0x6bc77fec, 0x14c0577e, 0x58c6c5b7, 0x587dfb02, 0x269c41dd, 0x8e692a7d, 0x4e617160,
+    0x495f4f50, 0xc500d7f2, 0x1ac7e527, 0x1f341b35, 0x94f9aa50, 0x87af5819, 0x615a3bba, 0xbb3ca799,
+    0xf5d76b3c, 0x7ff0b052, 0xa40e8389, 0x2e344e0c, 0x29ed418f, 0x0763bdbe, 0xc0f9e194, 0x4e19cda8,
+    0xfe37c175, 0xf79a9d77, 0x3d747158, 0x628e6d5b, 0xf8fff044, 0x505e0885, 0x1937d310, 0xa7b8a12b,
+    0xa3675dfb, 0x2e4dd685, 0x041200a6, 0x8444972e, 0x32eacc94, 0xf2e92db0, 0x97cf5434, 0x4de2e612,
+    0xf2fb086c, 0x582cd053, 0xdf58ce75, 0x5a9e767c, 0x7edbae50, 0xa006a53c, 0x4882782f, 0xe5833f80,
+    0x263dc10c, 0x73ddcb5a, 0x9bda8263, 0x1a322ac6, 0xc1ca6c78, 0xbdd93d2d, 0xa8407ade, 0x8a5dfbf5,
+    0xdc123854, 0x1ec3658e, 0xb3480f39, 0x1890c2fc, 0x785810e0, 0x97a5b870, 0x91b6e125, 0x3783d635,
+    0x078b02bc, 0x2edb0326, 0x1fabace5, 0xaedf9468, 0x11f8b0b5, 0x479c5f41, 0x97cd276d, 0x430307d1,
+    0x5afd3dec, 0xf5a4b6eb, 0x41fee16d, 0xd660f0a8, 0x21405ca5, 0xad233002, 0xd1e6f9e9, 0x7a4a039d,
+    0x4d012cd6, 0x4c724696, 0x9e49fe37, 0x785a35aa, 0x1b91d17e, 0xccf1b376, 0x047ed2b2, 0x98016f7f,
+    0xf1fcdf9b, 0xa0ecbb38, 0x474600c2, 0xbe9787b0, 0x059dad6e, 0x7ebfac05, 0xce5ebd3e, 0x16016925,
+    0x6c6b60f4, 0x8504bf6f, 0x2f4d3fbd, 0x16cd0667, 0x6f0a38fa, 0x08aa26db, 0x4e025a0d, 0xc38a8528,
+    0x3876193f, 0xb842bd6c, 0xdaa0d7b0, 0xdabf4559, 0x6f12abb3, 0xa873e0aa, 0xfadb2146, 0xda2c2429,
+    0x1f28e389, 0x66829e33, 0x839c8326, 0xf4ee6b6c, 0xdaae5d76, 0x0079c5a9, 0x281785f9, 0x8a2fa08c,
+    0xceaeefca, 0xe5c79cf1, 0x358fbfd7, 0x488942d5, 0x24b635af, 0xb5c99f60, 0xbcd91278, 0x9ba142da,
+    0xcb9cfdc7, 0x104e75f8, 0xccba904f, 0x2dbb42c9, 0xac35e98d, 0x0abc8533, 0x67a75a9d, 0x6d65f4a1,
+    0x8cdee49f, 0xa1e8835a, 0xac04f3b2, 0xa67ec90b, 0x7e9c8981, 0x022b3148, 0x7497a280, 0x2cab5a3c,
+    0x0ee9152a, 0x9de2be79, 0xa658b756, 0xac6061a9, 0x04e397e5, 0xefe501c0, 0xcb3a6ba4, 0x1b214c07,
+    0xc3b28395, 0x7aca453b, 0xb9b882bc, 0x0d6fe882, 0xad1dbf94, 0x6849d347, 0xfc80edb7, 0x729c26df,
+    0x706795cc, 0x5dd45487, 0xc75419e0, 0xae63210d, 0x9d5e5088, 0x7579bf57, 0x75ad220c, 0x347810a1,
+    0x5be255fc, 0x2f38e13d, 0x4793de12, 0xff7ae5a3, 0x0bb5e418, 0xe0507a21, 0xdd091e89, 0x508b5928,
+    0xf2fa173f, 0x3d678214, 0xba88ccee, 0xcb8132ef, 0xa7b98d84, 0xb07da3ea, 0xc114d2ab, 0x5122f9b7,
+    0x53e427a9, 0xd6e34831, 0x8c22b6d2, 0x1bb01e9d, 0x71ccc930, 0xb218e563, 0x351de97d, 0x8e51c88e,
+    0xd9490f17, 0xe28977ed, 0x57ef3c18, 0x7838e36c, 0x8aeb269f, 0x7141b7c9, 0x881cf561, 0xbc956981,
+    0x3bd52d9e, 0x427e426c, 0x780afe27, 0xdbdd7b6b, 0x4c78ff70, 0x9c389f13, 0x40ecc98b, 0xf3f58cf5,
+    0xd6c09fdc, 0x76bcb02b, 0x4a4806d1, 0xc4626720, 0xbfe7e1e4, 0xceefb5b3, 0x7f87099d, 0xb5e226fe,
+    0x459f8f47, 0x5caee22e, 0xa03e656e, 0x5be47c7b, 0xc0095779, 0xb3ef98e9, 0xe1d1d547, 0x53344bb2,
+    0xc0380ac4, 0xf98773d9, 0x41a90df8, 0x40486a56, 0xd8999d1e, 0xc946df6d, 0x4b5a2bb1, 0x3ce5826d,
+    0xd102d544, 0x59917ce4, 0x1a855492, 0x80ce006c, 0x151ad59e, 0x3ff8dd19, 0x1f56ddda, 0x5beba4ad,
+    0x47353812, 0x759cacfd, 0x082643eb, 0x44d956b9, 0xb94b0ef8, 0x15b10f79, 0xb9e56cf8, 0xca8bcd08,
+    0xcbaaeedb, 0x26234e39, 0x9b793d80, 0x735598ee, 0xaab78409, 0x462816a6, 0xd6f4af03, 0xed77c5e5,
+    0xb4a6a2b8, 0xa4658be3, 0x4addc2cb, 0x6ee340d6, 0xcc6a221d, 0x2176ae56, 0x9a0ad353, 0xbdb453ad,
+    0x0c272a9e, 0x62438b5e, 0x913266c4, 0x601b406c, 0x75f9b951, 0x69589829, 0x68c4bdea, 0x5eb5998c,
+    0x989099d2, 0xf37e02b3, 0x498bae3e, 0x86747d68, 0xc21d3979, 0xecab965c, 0x11034bff, 0xf63c1e4d,
+    0xb7e0e324, 0xfdbcd251, 0xc755feb8, 0x19961f3c, 0x7fb5b713, 0x16789198, 0x856a58b2, 0xf775f82d,
+    0xcf57d514, 0x3d4cc46b, 0xa103ba27, 0xaedb9e10, 0x6d725b92, 0x5fb9723c, 0x21fc4c95, 0x2b85de3f,
+    0x39464a9e, 0x7231253c, 0x209df2f7, 0x3fe19018, 0x17ce1010, 0x1a7bac5c, 0x348c6730, 0xe67f185b,
+    0xd7606740, 0x89264f9e, 0x05e3cac5, 0x57bb9701, 0xe65c1fff, 0xd651bb08, 0x7505e3e7, 0x87ece48e,
+    0xf8b75c07, 0xccab78c6, 0x605c054a, 0xf313f747, 0xf5e25029, 0x3ab2051d, 0xf651d687, 0x2c1f25f1,
+    0x150761da, 0xf97878a6, 0xc4104d8f, 0xc565c4f7, 0xdf7f5883, 0xfcc98e8d, 0x1af5f240, 0x684c8049,
+    0x1f9e874d, 0x7b192b37, 0x3d67efb0, 0x4785dbea, 0xf7cae174, 0x4ba9b445, 0x5ac85754, 0x5ff035b3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000018889465931478580854784 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e68, 0xdc57f248,
+    0x00000000,
+    0xa5de7b0b, 0x8d21b301, 0x4bde2e39, 0xe86d174c, 0xac15c8b6, 0x78cf59e9, 0xc6d787e2, 0x5659b5a6,
+    0x2f2685f8, 0xa6836368, 0x3c36bd90, 0xf9ddf1fb, 0x4b8b9a2c, 0xad282b2c, 0xce623756, 0xe446e576,
+    0xa32dc67c, 0x503467fa, 0xe69dd5e9, 0xcb80bb9b, 0xae40e700, 0xfe573fa6, 0xed26c2a0, 0x8a0d4d75,
+    0x5ccfd2aa, 0xb9adaf4a, 0x6e20285b, 0x96426dca, 0x3c416d38, 0x13df5c65, 0x3314ea45, 0x24e3f41b,
+    0x1af01e74, 0xed657110, 0xd0671553, 0x27ec42f4, 0xe9d20513, 0x3def58aa, 0xa5fddbde, 0x4dbe9833,
+    0xbe83ca0b, 0xd9abf775, 0x7abfdb58, 0xd6c87933, 0xbe5e80b5, 0x2028176b, 0xfa48b069, 0xc7eb91d5,
+    0xf8cb8c89, 0x4c4c9f82, 0x928b17de, 0xa24289da, 0x599b6b00, 0xa1c57f10, 0x02bc6776, 0x8dd0a4f9,
+    0xca1b683b, 0x7379774b, 0xc73591c8, 0x9e772217, 0x257e3751, 0x8414d452, 0x13c21d52, 0xc4593967,
+    0x21d88ce3, 0x845e1e98, 0x480d21a7, 0xad760188, 0x9e12cdce, 0xc5fdf0f1, 0xc7c978f7, 0x99183ef9,
+    0x8949967f, 0xd4d81ff8, 0x700ca9c8, 0x98b4b960, 0xe3113ddd, 0x60349c81, 0x01e95303, 0xb544aeeb,
+    0x1be52931, 0x5a985251, 0xc18b4b34, 0x45465f1e, 0x4b9aa023, 0x7bb790ab, 0xad19f2b8, 0xd419abb7,
+    0x537f19f9, 0x6f9216c2, 0x08424fde, 0x9fe18d3b, 0x42a94421, 0x30967d31, 0x1962a454, 0x66762b57,
+    0x5004ed62, 0xa018ecdd, 0x434527dd, 0xb95818a0, 0x77cf6cf9, 0x41ea11e7, 0x73a66057, 0x174287fa,
+    0xdee6c05a, 0x6e178eaf, 0x70eb0928, 0xd5158629, 0xdad81cf3, 0x4eb9865b, 0x3ea1397b, 0xea9ab0a1,
+    0x7cfb9a26, 0x1920f4fe, 0x2f635979, 0xb0b805b7, 0x22b3b943, 0x888fc692, 0x28bab1e4, 0xeecd22d1,
+    0xc99f538e, 0x58e07706, 0xc3fad7db, 0x6838f36c, 0xcac5963e, 0x053bac5a, 0xb52c11ce, 0xe3fb5eb7,
+    0xaac73be8, 0x4ffdce68, 0xb3e46191, 0x4e6ebb1a, 0x8b0d3aee, 0x205f5cf3, 0x74ec45d1, 0x8f1ff146,
+    0xb6866d03, 0xfbdd3372, 0x3df754ad, 0x2c03a783, 0x384ce4e2, 0x79838f3e, 0x8ce1a11b, 0x25a2cbf2,
+    0x989d8660, 0xa227e188, 0xe5075e9e, 0xf701e3d8, 0x67b03ec2, 0xcdc6c083, 0xaf0e784f, 0x687c0e94,
+    0x0031e66e, 0x50d6caed, 0x2ddb72e9, 0x348f6ff6, 0x059ae448, 0xf7cd9050, 0xa18a00df, 0x80d2d4a1,
+    0xa0e82a83, 0x566b16d7, 0x1dc1fba2, 0x419230dd, 0x1ab782b9, 0xf81b6fb1, 0x765f7af0, 0x4051ac72,
+    0x8e7feb64, 0x58f33260, 0x229593d2, 0x4a909eff, 0x5c09c992, 0xc547456a, 0x9d8264b2, 0x58df6d8f,
+    0x927bbe25, 0xf795c55f, 0x2eec0b40, 0x348ce9bf, 0xb7b4e076, 0x1f40c19e, 0x13821bda, 0xa34c396c,
+    0x44bfb846, 0x5159cb1c, 0x50dd1e56, 0x9bfe02d0, 0x2c259989, 0xf4c8547f, 0x2f59bbae, 0x8b1dd2d0,
+    0x166ca399, 0x71c80a4e, 0x14866a25, 0xf4bc8aa7, 0x214df8dd, 0x5d1cf50f, 0xd9cda89a, 0x92a56770,
+    0x2389d3c5, 0x32fc9cd0, 0xa8bd0b32, 0xfe1e9893, 0xc360ed53, 0x3007e480, 0x4807d78c, 0x90348c4c,
+    0xe4b3c685, 0x4cf787f9, 0xc32450dd, 0x9fff4849, 0xdb470ad3, 0x4e3bf5ae, 0x40347b56, 0xeaf4dc45,
+    0xad579191, 0xb0041b03, 0xa28bac17, 0x0d21f429, 0xeeb60ad0, 0xa8541af5, 0x32014dcb, 0x6ecb8e78,
+    0x6075e89e, 0x9391d4c0, 0x06da0c54, 0x8a48a74d, 0x5ba91f3d, 0x45f05e6c, 0x65c57110, 0xf3c34b73,
+    0x64bf2443, 0x8ce228f4, 0x1c3782f0, 0x78ba8efc, 0x3187aae9, 0xd3592341, 0xfa583f8d, 0xaee5945b,
+    0x8d677ddf, 0xcf68e7f0, 0x76c6c9e3, 0x755c4ee0, 0x4d41011f, 0x0c0f9fba, 0x45f2a2db, 0x9642f29e,
+    0x809baf9b, 0x2279bce3, 0x66d286ba, 0xec876bcb, 0x588a0870, 0x87d50064, 0x44ae3e40, 0xab912c8f,
+    0x370d6148, 0xe09fd4a4, 0x383a3f94, 0x77a41011, 0x542cf4bc, 0x060c8f14, 0x12380089, 0x5b9295cc,
+    0xe486ac1d, 0x4a42f37a, 0x9bd41c5e, 0x66e86499, 0x6a6e874a, 0xa44d54cb, 0x9880e038, 0x0107488b,
+    0xb153058b, 0x94eef67a, 0x35f3d09a, 0x0668b7eb, 0xbb121641, 0xb3b5c25f, 0xff103bb0, 0xb581ec10,
+    0x244627c1, 0xb3982055, 0x04ce6681, 0x625b6636, 0x2e8694a6, 0x6c35edf0, 0x18a55831, 0xc1962599,
+    0xd03a4c4d, 0x38a0a09c, 0xd803e1fb, 0xa2441753, 0x6ea9bde9, 0x3ca96056, 0x3a7ab74c, 0x620ed144,
+    0x9c31dcf2, 0xe7bdd158, 0x18f961d6, 0xa398cf2b, 0xb2303f46, 0xcfa0d114, 0xcab48559, 0x7c77bf97,
+    0x9bd376a7, 0x39ed5635, 0xa0156c94, 0x81365cd9, 0x8e9b1209, 0x53dba16c, 0xef7861bc, 0x7dc60a62,
+    0xe006f996, 0x98033189, 0x87ccc7a6, 0x94f0a811, 0x99c3e33d, 0x9b478850, 0x2269330e, 0x1e5e6e00,
+    0x02a17fdd, 0x614773ea, 0x050c140c, 0x3419a357, 0xd7c0d5f8, 0x520f1e47, 0xe0e60b5d, 0x28ca8e67,
+    0x82fc0184, 0xd2c6c49e, 0x07e82547, 0x7e777e13, 0xf89feadc, 0xf5ee0a96, 0x2637f515, 0xac68cdbc,
+    0x0dfdd9e0, 0x4b2f7fe5, 0x7ccab195, 0x56256ad4, 0x7bdb6b6d, 0x7f9bb00c, 0x1044ca7a, 0x3bca2987,
+    0xa9837d81, 0x2d6ee2f9, 0x84794578, 0x35f15c93, 0x67f3a108, 0xbaf036eb, 0x86bc3e87, 0xdd6dfcf9,
+    0xf62ae263, 0xcf9b3b87, 0x71fa12bd, 0x2f29651a, 0xe1176193, 0xc9cd8715, 0xbe5b4d86, 0x9defe2eb,
+    0x172db0bd, 0x1677262f, 0x63d4a2a6, 0xbd365e2a, 0x27251425, 0x278b3c8d, 0xae281d45, 0x0d23640f,
+    0xe06dd96b, 0xb024c123, 0xf3ad269f, 0xadbee831, 0x370909be, 0x0ce18b28, 0x534cd315, 0x2a1d1f44,
+    0xa8921c07, 0x35913878, 0x35830bc6, 0x9c7f715b, 0x1cb259e0, 0xddf0999b, 0x0899f1a5, 0x031a5422,
+    0xb1e8b9fb, 0x4cb7d0c4, 0xe079c76b, 0x5c0883e1, 0xaa584c5e, 0x40d8d9ce, 0xbd6ffae5, 0x384ae5dc,
+    0xb6678968, 0x65e2e817, 0x5a0bb4cf, 0x77bf48a2, 0x3a01eeee, 0x246f38fb, 0xb2706a93, 0xd16b722b,
+    0x4a4ba801, 0x185c400f, 0x73fd51b4, 0xd6e969d5, 0x3fd7e91c, 0xd49c428c, 0xd6e1914c, 0xceeff0fe,
+    0x014ff0ec, 0x08052871, 0xb9c0b41d, 0x2497a81f, 0x4fa30b34, 0x4d3d7e66, 0x0b5c3d96, 0xa1821416,
+    0x78dac98c, 0x84152980, 0x05128dff, 0xa88f3f77, 0x5b50b699, 0x25291069, 0x2625a5c6, 0x41077a36,
+    0x88245ae5, 0x52161272, 0xa7f42b35, 0xb41ab355, 0xeee67669, 0x9da0bf2a, 0x3993d882, 0x2a97798d,
+    0x8a5936b5, 0xee319b09, 0x6db0c8f0, 0x66ed8eae, 0xa0c5fc7e, 0xeabc3a46, 0x12bce9cf, 0x761075c4,
+    0xe8b84c87, 0x9edab159, 0xc63f8c8e, 0x2d611c44, 0x6b72378e, 0x18d61a85, 0x629f31e8, 0x2f632954,
+    0x52316251, 0x09998778, 0x250b180d, 0xf866a2aa, 0xcfbc5116, 0xf09ea838, 0x938720eb, 0x0d17e5a7,
+    0xc2c345c2, 0x73560335, 0xa459e094, 0xb2aba71e, 0xd03cf4f9, 0xfa0c807f, 0x31f42786, 0xb1a8d567,
+    0x01b20d28, 0x9cdd1dfd, 0xd70786c0, 0x0a2833a6, 0xea53b08b, 0xbfe85b6e, 0x8a4c4639, 0x78e96602,
+    0x22dad92c, 0xee7dfbf2, 0x8dcaffc4, 0xa94797fe, 0x977a6332, 0x8f413941, 0x79a8ce01, 0xab18eed6,
+    0x4107422e, 0xaab82e5c, 0xf75a20f0, 0xa7ecba53, 0x6f831cd2, 0xaa002af3, 0xfc0e7e2c, 0xc3547641,
+    0xdcf953cd, 0x6426dfaf, 0x497920b9, 0x9a0265d0, 0xc5ad5fce, 0x633cece2, 0x9cd45798, 0xbd486e7d,
+    0x293034ad, 0x1d07620d, 0x193203e3, 0xf86d6590, 0x9648620c, 0x8e1d5c20, 0x94a3c700, 0x73e1b459,
+    0x9343fdb4, 0xf0fdb0bd, 0x93c55780, 0x6a57068c, 0x19f317b3, 0x5daf7bca, 0x01082665, 0x8c29c858,
+    0x7bf20045, 0x4edfb861, 0xba3c615c, 0x6e4990d4, 0x7235bb84, 0x3c505298, 0x662c3dbd, 0x443c7a47,
+    0x9082a9d7, 0x12640047, 0xa11b6c7b, 0x3b6dd8f5, 0x64db44ba, 0x0209222a, 0x79d11955, 0xa4714db4,
+    0xff2ebdb6, 0xe287ea74, 0x78b3fa28, 0x9974004c, 0xbccf1aae, 0x6812a691, 0x1a310486, 0xe328a4b2,
+    0xefcf91a9, 0xbe973c5d, 0x3f924191, 0xefb950de, 0x384fa2cf, 0x095f3bf8, 0x42a2111d, 0x4e2e5c7b,
+    0x29413047, 0x5dbc4ecb, 0x222a1245, 0xd5288ec6, 0x9f7ffffa, 0x96e10f3e, 0x17c57d20, 0x31cc6582,
+    0x715c71be, 0x72ac0c6a, 0x891be213, 0xe6d62c64, 0x363fa369, 0xb6975880, 0xcfe5ad2d, 0x3a68e2b1,
+    0xf4a698e3, 0xe9d5737f, 0xdc113a43, 0x12337919, 0x3a96ee33, 0x7c6e8453, 0x1bf98a36, 0x17056c55,
+    0xd2274ac7, 0xb380ab6f, 0x236b1a16, 0xb4f36dbd, 0x7093efe1, 0x100744a0, 0xf9e82754, 0xd451b2ba,
+    0x4c3333bb, 0xb6a17876, 0xec7b4940, 0xfb99d74b, 0x53c68c20, 0xcdbc7574, 0xf93e8fb5, 0xac9fc5df,
+    0x36f08933, 0xf1c44a6a, 0xfed4cfbd, 0xaff68213, 0xc36bcc78, 0x52bdfcb9, 0x4d1fd5ad, 0x254b474c,
+    0x1322945e, 0x76dee09b, 0xffd7dac4, 0xee804155, 0x440b251c, 0x3bfbf803, 0xd12b399e, 0xe920a663,
+    0x12f65bc5, 0x0722424c, 0x390932ec, 0x149deacd, 0xa35f24fe, 0x3691ce3c, 0x926ce87a, 0xa3b08da8,
+    0x72ab5a5b, 0x77ae427b, 0x4e74f521, 0x9b668f13, 0xf6299779, 0xc79008a4, 0xbdd9e8bd, 0x68df8230,
+    0xe3a4baec, 0xd99ad91a, 0xd4a74993, 0x27c0550a, 0x59f1e881, 0xec828f15, 0xd602572f, 0xd99b7900,
+    0x426b157c, 0x916884b6, 0x881665bc, 0x94a42d1c, 0xa32bde40, 0xaf3b8b9c, 0x9fa34a51, 0x779450db,
+    0x5b7994d3, 0xf3ac4f97, 0xcf709b35, 0x1ed542a5, 0xc19e683f, 0xbd817277, 0x67eb5080, 0x41ec2bb5,
+    0xe8ccb11b, 0xc0f40e46, 0x3fcc0ba6, 0xbf51bda5, 0x16ca3185, 0x05bb2ad5, 0x1de1b025, 0x8b60c16b,
+    0x367d582b, 0x38b2ec3f, 0x8c2a5452, 0x1804da58, 0x68735b68, 0x1b02c0fb, 0x00c2707b, 0x82dcddd4,
+    0x27e7c8a2, 0x7110ac94, 0x3d968ff4, 0x31e14d41, 0x21d8de37, 0x2d55681f, 0x090cac31, 0xc2b4219d,
+    0x6659f700, 0x0c33fdb0, 0x21e558ec, 0xa57b80d5, 0xf22fc4e5, 0xd8ad8793, 0x269c0aa2, 0xed19a401,
+    0x6a4609e7, 0xbc98d8ba, 0x9c627415, 0xee3b2fe8, 0xdc1fb2fa, 0x871b00cd, 0x9db37be7, 0x86f842f6,
+    0xc53958e1, 0xa813a855, 0x75270cb3, 0xaa1ed7e0, 0x3afb7a7d, 0xca470ad3, 0x6bb82db3, 0x6008776f,
+    0x6e51d6cc, 0x7a2594fe, 0x1c715220, 0xeb70ee61, 0x84f0d297, 0x1ca30cfd, 0x41343ad6, 0x9fae2877,
+    0x00040933, 0x8ccae120, 0x888d3a19, 0x16d4a58e, 0xe9c689c7, 0x9c17d81e, 0xf5628150, 0x73e66c18,
+    0x83fe79ff, 0xd19b3976, 0x858769ef, 0x65e5daf2, 0x436a75f8, 0x11b52acd, 0x0cb0aa8b, 0x05d2af96,
+    0x43eee7a0, 0x34cf8239, 0x142fe12e, 0xe30db18c, 0x9afa2d95, 0xdbdf8d89, 0x4623f59f, 0x9c8a3013,
+    0x2fc52d73, 0xeb247199, 0x0fb04cdc, 0x4773256a, 0xb0e81cba, 0x23fd1cdd, 0x70e37039, 0x67fda26a,
+    0x05f71bb8, 0x0b8f700c, 0x635a976c, 0xd5ea368b, 0xa7793216, 0x1aa9a7ab, 0x1896f1f4, 0x32c9c744,
+    0x0d11a52d, 0x8ade5dac, 0xb0078eaa, 0x83599f45, 0x10907718, 0x3b502e3c, 0x6124d422, 0x115c5116,
+    0x47a1ffd3, 0x45a65a17, 0xfcac539d, 0x3db49133, 0xf0ad285b, 0xe8eef4b0, 0x8404dde3, 0xcca292e0,
+    0xa8a7d9cb, 0xc7ce23b1, 0x27af0897, 0x8165bbfe, 0x51daa57f, 0xa34c9936, 0x027b428a, 0x38569172,
+    0x2004f6e0, 0x51f9fe7d, 0x5e5ff37d, 0xaae78c59, 0x63264e69, 0x1464dd5a, 0x3dd690d2, 0x937895a0,
+    0x06d1362f, 0x53f4f899, 0x98c45649, 0x6cfb5174, 0xd154121e, 0xd8b3ec91, 0x38ab5c03, 0x9f9a84d3,
+    0x70d03be5, 0xde65c1d1, 0x5e716d6b, 0xad4deb95, 0x4ee814e6, 0xb3713577, 0x507a54d3, 0x560507e7,
+    0xb17b5078, 0x3bea5db6, 0x3dd8fdf6, 0xd306152c, 0x5115f9b1, 0x38123762, 0x063d1630, 0x9e21bed9,
+    0x3758bbbd, 0x7d91c52e, 0xf4cb6d82, 0x9c8a0d90, 0x97520f71, 0xba4ded82, 0x74198685, 0x7ae36a26,
+    0xf0fe15ac, 0x7ace9020, 0xf09369ae, 0x65229bef, 0xff6774b9, 0x1ebae34c, 0xa6d83a55, 0xe82b4e17,
+    0x640fbb76, 0xfb31a2a4, 0xddfcd314, 0x76d6a419, 0x99271f85, 0xf2bf2991, 0x39e0a019, 0xb3aa2a5e,
+    0x5004fbcc, 0x70c6cbc7, 0xea00c140, 0xa8d945a3, 0xcf9c4cd8, 0xd694e633, 0x5d1990e8, 0xdcd6a754,
+    0xb333093c, 0xa90d4d61, 0xc933b498, 0xa60a3d81, 0xaface2de, 0xa52c22eb, 0xac6f24d2, 0xe8ddea00,
+    0x0254887f, 0xb3439ef8, 0x8abd08c1, 0xa28400d0, 0x4e10896d, 0x53fad5c0, 0x2bfc4909, 0x5ec7134c,
+    0x90e6ccb4, 0x09350e15, 0x05114632, 0xf0d7ce6e, 0x076c9586, 0xa9ae0c6b, 0x2b75f6c4, 0x6125fbbb,
+    0xc4f9e391, 0xf3cd106d, 0x43b901aa, 0xc550c264, 0x559b13bf, 0xb48c0a04, 0x9c885e62, 0x58980c5c,
+    0x069a3366, 0x70834419, 0xba7ba98c, 0x0e647f24, 0x6a8b9cb1, 0x54c99ec9, 0x6b9f1ce6, 0xfb0b3425,
+    0xef1b0921, 0x857fa12e, 0x4bb3a3c9, 0x3baefe7f, 0xeffde8d3, 0x6c9a35b4, 0x978cd3b5, 0xc6351974,
+    0x33ebe733, 0x5e594706, 0xa8c446f4, 0xd0a49b99, 0xc7c16b69, 0xb7917902, 0xfb7a0754, 0xd07fac3b,
+    0xf9368a34, 0xf92c977b, 0xc1b9e27f, 0x766cef03, 0x579c519c, 0x0849ac56, 0x2425862e, 0xb337c70d,
+    0xfdf12896, 0x336cddec, 0x93a66f1e, 0x72ae7382, 0x0c94ab52, 0xa9110ebc, 0x2b11418f, 0x3573da07,
+    0x417bcbd2, 0xedb5500f, 0x35a63fcf, 0x7ecc3592, 0xc38390b2, 0xf65af242, 0x5c9d121c, 0xbcbfe2bd,
+    0xaf65fada, 0xe76e8e5d, 0x347d4787, 0x1c139c1e, 0xe1462ba0, 0xb53f3fa3, 0xbd21367b, 0x8b93507b,
+    0xa60b1a6a, 0x9318e0f6, 0x6ced8b8d, 0x46daf6cc, 0x457e99d5, 0x69125558, 0xc6ac7b79, 0x5325f87d,
+    0x2f961331, 0xd079b083, 0x5d3e8b25, 0x2eec1a5d, 0xb04e66f0, 0x84df62d5, 0xa7cb4e2d, 0x7ac8de52,
+    0x95a51d01, 0x9442dcd2, 0x1bf0a767, 0xf5497f8c, 0xf3678e0e, 0xfb4aa63a, 0x3a236546, 0x01b64d52,
+    0xf4ea6d5f, 0xe6f4a0e4, 0x4df4e480, 0xae27b164, 0x69d42edb, 0xec17f6b7, 0xa2d32b73, 0x15816a00,
+    0x9b39a033, 0xc26b31fa, 0x51e20445, 0xbf39c1c1, 0x6c4213cc, 0xf39a483f, 0xa337ea2e, 0x03578c74,
+    0xd668c0e0, 0x209c7846, 0x4bf6b41b, 0x7d728d0f, 0x380cd4e3, 0xc3063145, 0x931a305e, 0x8a590985,
+    0x59b66037, 0xb7ef0134, 0xffb6ca9c, 0x1f49c4f1, 0x0ec04483, 0x137f36d6, 0xd427d075, 0x09b7e760,
+    0xe2bdb3f1, 0x900df213, 0xd49e80e7, 0x434c2da0, 0x6483e8f1, 0x193c2ce0, 0x991ad2c9, 0x86f7a654,
+    0xa2f47579, 0x8abd40e2, 0x575e38d6, 0x4cc12b38, 0xfaab1de7, 0x8aec08d0, 0x50c37a8b, 0xd78490de,
+    0x14dee279, 0x4d12d44a, 0x7317c0aa, 0xa504bbfa, 0x6b17e377, 0x25c06a27, 0xb2c91315, 0xc7dacaca,
+    0xbbdc43b2, 0xa975c685, 0x5ec40c79, 0x18066b8b, 0x3ef98f98, 0xbfaee47c, 0xa9d7c9ad, 0x1c849f24,
+    0xbb33281b, 0x21258db2, 0x86867bd3, 0x511cdf00, 0xb35290f8, 0x6babd2e2, 0x0e106b66, 0x5e9962e7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000009444732965739290427392 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f34, 0x6e2bf923,
+    0x00000000,
+    0xce107390, 0xb738d42e, 0xa6bbe9ee, 0xa1c852b8, 0xb437a101, 0x785f55b4, 0x60cd74b2, 0x0ecb31eb,
+    0x74dfc92b, 0x4e7d8d25, 0x0a71b83d, 0xb286299a, 0x595397e5, 0xe021e0c9, 0xb24ac581, 0xc1d6f3e9,
+    0xe6df1bba, 0x85517395, 0x8b4a73e4, 0xdedf377c, 0xb910d90e, 0x4dc95024, 0xdb404fd5, 0x203747ee,
+    0x5b846b58, 0x6a0d24b1, 0x482d56a5, 0x375ae0a3, 0x75789041, 0x14c6b286, 0x24f58a0d, 0x7bd54b57,
+    0x7ad21d52, 0x7aae4c5f, 0x74b01197, 0x14510f6f, 0xfb5a355e, 0xdaca371c, 0x8cc0e8e6, 0x060bffcd,
+    0x7d5ad705, 0x23267900, 0xe6ce02fb, 0xf56a5c58, 0xa747432e, 0x0897f112, 0x1ff73ed0, 0x7fb1c585,
+    0x935d9c7b, 0x65def534, 0xd3ce2af6, 0x9c8b9c08, 0xce79474d, 0xe21ba5ba, 0x73cab1c1, 0x4c7d5f11,
+    0x54078ef0, 0xa8e74fe3, 0x361c8fff, 0x0f6e0c9f, 0x118a3f4f, 0xe0441e12, 0x0fcd7338, 0xbff79f8f,
+    0x7da658a8, 0x330c5741, 0x40584de2, 0x65dcd696, 0x643d4b31, 0x6c7147c6, 0xc34b9f85, 0xe1723ff4,
+    0x01c0243d, 0x9920a6a2, 0x300c0f5f, 0x0e021279, 0x707cd87c, 0x77886d03, 0x2f6e0f03, 0x86e3ffa1,
+    0x04a1c10b, 0x7366525c, 0x825cb05b, 0x9631d6ea, 0x2b5c898e, 0x05e1094c, 0x59c1696d, 0xd0599f38,
+    0x78664714, 0x6f817e1c, 0x6035b052, 0x45e2c724, 0x35e6f75c, 0xfead6151, 0xc6ef1c88, 0x3d3774c2,
+    0xfbcd3dcf, 0xf4bea092, 0xa0e29575, 0x249bf6b7, 0x9945acf8, 0xdb1cdc24, 0xedad6243, 0x353d4ae8,
+    0xca74eae2, 0x058f19f1, 0x1f1cedd0, 0x35f72add, 0x622ebf87, 0x0a935484, 0xad2499a8, 0x65952c0c,
+    0xf1cd35ed, 0x8cbd791f, 0xe82a3350, 0x443e2487, 0x546b0a9f, 0xfd9e7923, 0xc6c1c5b2, 0x330c816d,
+    0x56757e9a, 0x449c4fc8, 0xf2b5c822, 0x9a89b386, 0x4ca2bf6a, 0x0e51ebab, 0x05848328, 0x2c54e76e,
+    0xc0f8acd5, 0x4290358f, 0xeb04c2fe, 0x68186ca3, 0x66ca1809, 0x77e6a186, 0x0883a8fb, 0xa944c9d2,
+    0xf11f0c2a, 0xf7117628, 0xa906bc5c, 0x31e7f3b4, 0x47ae0b06, 0x9afe6cf0, 0x55469561, 0x2e1b3d11,
+    0x8bcf9101, 0x943af10e, 0xffdc207b, 0x0a086ff3, 0x82ebf2e1, 0x32d016d9, 0xaef6dc47, 0xa2a9fb2b,
+    0x25e7b944, 0x84e81511, 0x00bbbcdc, 0x5b0df073, 0x11d696b5, 0x1e51835c, 0x4dab0103, 0x464d93cd,
+    0xdaa0f742, 0xa337d013, 0xc8e7707a, 0x6da00838, 0xf784af5f, 0x9d30d2ac, 0xaa5f3031, 0xb564ea09,
+    0xaff84175, 0x8c20bbfe, 0xd1a256d6, 0x551964a0, 0x932d3053, 0xcb6a19be, 0x1e19891d, 0xadebb50a,
+    0x18e644e7, 0xa8e45321, 0x848b2760, 0x33e8c347, 0x7abfb873, 0xe2526ef9, 0xb33e6ffb, 0x89882d45,
+    0x789405cd, 0xf79e5213, 0xd03ff6b2, 0x9cb920cd, 0xfcd427ef, 0xe49ad451, 0x2f9c03b6, 0xf3730b69,
+    0xc2b130b4, 0x147777d9, 0xddd99fac, 0x9fba23d0, 0xb85130b5, 0xc9211aea, 0x521ea827, 0x9f7eb865,
+    0x1d473fef, 0xeb3525c8, 0x58c18873, 0x0d527474, 0x3162f6f8, 0x4f56e516, 0xb860d061, 0xa88118fa,
+    0x2f7dfe94, 0x4ca3ea34, 0x03893ce7, 0x75560b79, 0xa8624c58, 0x47d3267c, 0x636cbef8, 0xd28e667c,
+    0x9ef88d8f, 0xc5d1b229, 0x46dcef59, 0xf84b8b3d, 0xb0495dce, 0xfd3eff61, 0x4bf1a4da, 0x2dbb34ed,
+    0x9e7e788f, 0x04d303e0, 0xdde72043, 0xc9ee4a51, 0xce116762, 0x170cc4d9, 0x8b0209af, 0x108dce7a,
+    0xc75e12ad, 0x2e33929b, 0xcc10277b, 0x416ae84e, 0xefef5aaf, 0xc57256ab, 0x115d9939, 0x6e3b7b17,
+    0x645951f4, 0xaeeb84ce, 0x114bca6c, 0xa3dc8b7f, 0xc798e6ea, 0x1a2cf66e, 0x3251ec3f, 0xe4fa02d0,
+    0x7939121b, 0x4d71a17a, 0xedb044c5, 0x596dc02b, 0xc111be10, 0xe22518e6, 0xc720ba31, 0x2d4bb5c5,
+    0x33cd6c27, 0xa11f64ce, 0x9e0caa53, 0xb3954f72, 0xe87db9cd, 0xa06b11ee, 0x56b7e564, 0x717dc3eb,
+    0x08fbfe83, 0xca72d09d, 0xec9e305f, 0x1712c68d, 0x9efe2904, 0x24e4b5da, 0x1ace4d18, 0x968df7a9,
+    0x7ebb861d, 0x5fff6029, 0x39103b16, 0xf226ae92, 0xd6bdadce, 0xa802bafb, 0x44406c3f, 0x835e758d,
+    0xf2eaf180, 0x9f1171e3, 0xdfc9341d, 0x25b9a6d3, 0xc744a2bb, 0xc98b1dea, 0x96f44b74, 0xe6082f64,
+    0xa4e59ca3, 0xe1a87407, 0x396c76d7, 0x2c4a1adc, 0x72f6abad, 0x4f961a92, 0x16e63731, 0x65456d38,
+    0xa1210c2e, 0x6f446b26, 0x83e4031c, 0xa80261e6, 0x23df0739, 0x7494d3ad, 0xb87a405d, 0xb065655d,
+    0xe27923e1, 0x26c3d2b1, 0x625a8204, 0xe3013121, 0x8b284505, 0x38100c6e, 0x0f1b9b63, 0x8d17869e,
+    0xa85a9822, 0xa2bf56e2, 0x3d487c25, 0xb25bc4bd, 0xd4877b91, 0x0e268a54, 0x045b066e, 0x929c0dd0,
+    0xb11f44ee, 0x3146e22a, 0x10dd9efb, 0xb84cf026, 0xc92725d3, 0x0b45decf, 0xc2f54257, 0x9fcca83d,
+    0x66b6c44f, 0x23f7177d, 0x2983479f, 0x7a1fe8b6, 0xe291f2e5, 0x822a2dbb, 0x8fc40385, 0xa15d4db5,
+    0x5795cc44, 0xe84ba676, 0x299b1824, 0xd470bf5f, 0xe5981c92, 0x04dee45f, 0xef8f90ff, 0x3d2d5e8d,
+    0x1b8e5597, 0x3747d881, 0x809dac48, 0xaba34cfc, 0x6c39eadd, 0x96ecdd85, 0x51585877, 0xc1f23425,
+    0xfbfcaf26, 0xcb0898cc, 0x8b750f74, 0x8020b069, 0xabdfcfab, 0x57e8e7de, 0x0bc3e5c1, 0xa0fcb896,
+    0xbe729db7, 0x767ba3c4, 0xd080987c, 0x1127d34a, 0x3cd7d1a2, 0xc44f0d67, 0x5f214697, 0x3479fade,
+    0x06e3df2c, 0x2ff440a9, 0x9386417e, 0x6d2c5448, 0x80f9d347, 0x87b0c8e1, 0xfac99240, 0x0c738706,
+    0x3b36ff16, 0xbe0e6a7e, 0xc63a99fa, 0x05a69960, 0x1b3539f0, 0x7f076d87, 0x98170392, 0x90efdf2d,
+    0x22c6087f, 0x109c9db9, 0xbe1f4db4, 0x9db8bec6, 0x1279083c, 0x39b6b085, 0xa79cc696, 0x90904618,
+    0xefd1df05, 0xef8ea24d, 0x9e6e1d9d, 0x1d0b9328, 0xe5608911, 0x5688287e, 0x4f24f5de, 0xab406136,
+    0x013fc8e4, 0x7b4e0f8c, 0xc4b6d0f3, 0xab640019, 0x9760994b, 0x213a6ba2, 0x8606c7a1, 0x083166a6,
+    0x90123428, 0xfe391a67, 0x16ed7b0c, 0x86452df0, 0xfa1dbb40, 0x5915393a, 0xc6c1a3e5, 0x4c809600,
+    0xaa42e346, 0x2521f4dd, 0xc1dd0b8b, 0x251e9ae6, 0xe68055f6, 0x84ade1b0, 0xec10e218, 0x7fa1f36e,
+    0x9510ed54, 0xed35eaca, 0x5c44483e, 0x05aea58c, 0x51e470db, 0x5fa19714, 0x7902da41, 0xcf866f5d,
+    0x1267049f, 0x3ad56944, 0x0861a577, 0xdd1cdbd3, 0xbd62b3da, 0xf4e6fa57, 0x3cda554d, 0xe65a8cc1,
+    0x935ad989, 0x7d9c1420, 0x7a210126, 0xba35b563, 0xc75e4573, 0xbf2544d3, 0xc90a07f7, 0xf94ee189,
+    0x0e976006, 0x45767233, 0x8039140c, 0x9f4679b7, 0xb9cade5a, 0xf39dab67, 0x61f17bda, 0x47611bd4,
+    0xec31b22c, 0xe3e8ea09, 0x96c0e26f, 0x28f45a4d, 0x34b6c1a8, 0x79fca12a, 0x9b1e2060, 0xce048707,
+    0xd4aecfbc, 0x6b8acd42, 0xd144cebb, 0xb39576c0, 0x3d7c264f, 0x43acad4a, 0x4e6b0dd4, 0x3b45514f,
+    0xb7fb5629, 0xcc7c2876, 0xc579034c, 0xd4383da6, 0xa920531c, 0xe2388e3d, 0x09c4c20c, 0x96e95f9d,
+    0x0eebada5, 0x95e94246, 0x4c396d21, 0xf7316aae, 0xc3a93b98, 0x6c71c324, 0x32fd7836, 0x3fd17b51,
+    0x1c71a85b, 0xd420499c, 0x8741d95d, 0x26d9da3f, 0x631cd9a2, 0xf4340ea4, 0x483e19af, 0xe7128dc2,
+    0x81209d42, 0x4fa1fb3d, 0xfc725895, 0x8012bd9b, 0x71762493, 0x8362960d, 0x2b7cc6ca, 0x5ff1f21f,
+    0x4677f860, 0xd72e3b5e, 0xf480b136, 0x8121c3e4, 0x75dff429, 0xcbeaeeae, 0x016c95ee, 0x247a0e5e,
+    0x2c27f42a, 0xd12c0945, 0xb48f8349, 0x2f221a39, 0xd121ec8d, 0x1acbff09, 0x6aff523d, 0x1f18802e,
+    0x0234503c, 0x00ca15c1, 0xcf72fc54, 0x1881fdda, 0xd569ffe2, 0xf9fa18c7, 0x19607d42, 0x2be92121,
+    0xa04b36fa, 0x7171f4d1, 0xad6a5261, 0x4e863074, 0x7aeec2e2, 0xd8a99bbd, 0xcc5424dc, 0x7b620d5b,
+    0x9b12b02d, 0x68154cc0, 0xed9b70a0, 0xbf98bb51, 0x2a6391c6, 0x9ad8d313, 0x86da14b6, 0x274454c9,
+    0xb6c99cc0, 0x0605be9d, 0xd357cdfd, 0x2a7eb993, 0x44a8b4a3, 0xbd60fe94, 0xd4f65cfc, 0xceb97826,
+    0xca6448b3, 0x537d32ab, 0x5e24f702, 0xe2a300d0, 0x2d77523d, 0xfc65a8a4, 0x1dc36cdd, 0x7549c533,
+    0x59d077cf, 0x9c9d1fc2, 0xac0800ef, 0x351cc0ed, 0x1034258c, 0x3bddef7c, 0xb3f14b89, 0xa1d45518,
+    0x6912066d, 0xe5050a8e, 0x46a88c8b, 0x6672d7ee, 0x26ad2442, 0x6680d899, 0xf9509d67, 0xa413df0c,
+    0xdc532724, 0xfcbe1ebd, 0xfcccf7cb, 0x8b9dcde8, 0x3bdc7224, 0x7900c3d8, 0x69b16033, 0xd659e44d,
+    0xdea9ecc4, 0xc6726763, 0x24bccf41, 0xef313da5, 0xfd663d35, 0x1324f213, 0x449fce32, 0x3b40de76,
+    0x1ed9c5e6, 0xfafef257, 0xcd31676d, 0x2a1b9741, 0xa4302d37, 0x1a1c8c92, 0x7bfa1f21, 0xfbeaefd0,
+    0xc2b1f8c7, 0x0e2762c2, 0xad779053, 0x801570d9, 0x89a5c794, 0x9293be80, 0x8631a26d, 0xf107ed97,
+    0x514887f6, 0xdaa20c2d, 0xbb60586f, 0xe5a7abd0, 0x9842bce8, 0x392c480d, 0x3c9e6779, 0x9ef54f85,
+    0xd10dde32, 0xdedf2ac4, 0xa7b17041, 0x28471bac, 0x72b5aeb7, 0xe0ca2966, 0x677aade6, 0xca445d8f,
+    0xa1a0a8c2, 0xa6e686fe, 0x0bb1e3e7, 0xfbbc973f, 0x169202ed, 0xbfa7100a, 0x97a799d4, 0x886db6d6,
+    0xf14c8d0f, 0xbc72cb9c, 0xd061450f, 0x75c4449f, 0x22896e9c, 0x641a20d2, 0x8756053c, 0x591aa7d5,
+    0x54b58cf2, 0x93514d91, 0xb2247e31, 0x8b5a31f1, 0x2ccdbe96, 0x1471ba7a, 0x1994b23b, 0xf0ffd528,
+    0x661a2ef1, 0x1098a96c, 0x21ca97fd, 0x0111fe84, 0x4b98d832, 0x48aceb5d, 0x61be7656, 0x5732d3a9,
+    0x7705408b, 0x9ab187fc, 0x019119e7, 0xd94782a4, 0xf46fb5b6, 0x9352f649, 0x22a4578c, 0xed9f38c3,
+    0xc6c6e4bb, 0x7248e9bf, 0x3f9f1c77, 0x5385741c, 0xc2d693e7, 0xe256617b, 0x0eb2321c, 0x25eec41c,
+    0x7a799776, 0x2a202350, 0x0fcac7e3, 0xbb54a9c9, 0x0acace28, 0x03307ecf, 0x1c4a7732, 0xd8614789,
+    0x31b41ead, 0x70db1364, 0x423285e0, 0x2cba633d, 0x98c4cc8a, 0xc93c22b8, 0x8b187385, 0xe5f6b0de,
+    0x260dcbdd, 0xcba85c66, 0xc0f168dd, 0xc40836bd, 0x27d4c1ec, 0xdbe56d74, 0x337e3c0f, 0x9258fb34,
+    0x4fc05e4a, 0xb29bc121, 0xd709fed7, 0x72a0f0c7, 0x074acd9d, 0x8c1d3500, 0x7b914c3d, 0x708aa0ef,
+    0x1aaf7985, 0x0ada9cc5, 0x7af37ae8, 0x6a524add, 0xb599fb20, 0x11b3bd1c, 0xf5cb50cc, 0x52b8b0ac,
+    0x3355987a, 0x961fdddb, 0x44f27aac, 0x905c269d, 0xa88d60eb, 0x01d0a2bd, 0x1855b1c1, 0xfb669b34,
+    0x6d950fbd, 0x0bf48efb, 0x7e14d011, 0xc6d9951c, 0x8ea37a06, 0x6fdfb3ef, 0x2ce4af08, 0x130964c1,
+    0xdc9096cd, 0x18b8e5ac, 0x35f0e1ba, 0x47817b01, 0x4fa83a9d, 0x94e2a4a2, 0x4e1b6455, 0x757b90fd,
+    0xdb2c2e3e, 0x81614f29, 0xae9b119a, 0x70596020, 0xfe6ce49c, 0x7b8ac92d, 0x20e52441, 0x038c871e,
+    0xbc6f17f8, 0xf59376c5, 0xbed77807, 0x4ede0bc7, 0xce2a9c31, 0x5c4c94b0, 0x49d61659, 0x378a0424,
+    0x691fe606, 0xfeab4090, 0xb25150a0, 0xf7b1948e, 0xe201b9e7, 0xbedbe923, 0x44f79143, 0xddf7cb67,
+    0x7a1d92db, 0x537a2ac0, 0xcb419b14, 0x68902e3b, 0xb9c61ee3, 0xb0a43350, 0x47c6f489, 0xcdcb5101,
+    0x190de9e2, 0xbdede0cc, 0x00bd8d20, 0xa40b3cf2, 0xe3ab09c1, 0x62709eb1, 0x0d7a600f, 0xb7fd8336,
+    0xa1a7f9f0, 0xa049eff7, 0x75edd2f1, 0xf3055eee, 0x711be1ea, 0xc8ac6500, 0x1176e92e, 0xf0ad25f9,
+    0x2a6b3646, 0x44215830, 0x8567df0b, 0x746c0b0b, 0x7f010621, 0x80702a14, 0x866e36a0, 0x75dd1206,
+    0x8564b4a6, 0xcad70857, 0xb2aca253, 0xe19bec73, 0xcc1c3767, 0x9777eb82, 0xcd21e876, 0x02eeeb02,
+    0x11eb94ef, 0x81b67dbd, 0x1d62feab, 0x7d3ed93c, 0xf3ff4abd, 0x708ba843, 0x2b11648f, 0x00b0804c,
+    0xca3c3c1a, 0xda1565a6, 0x44b076d0, 0xb03aa44a, 0x0a0aa6a8, 0xf63e1a24, 0xe8a0c2a5, 0x7c355a44,
+    0xbb032405, 0x7fa347e7, 0x48e9c7eb, 0xb06f5305, 0x005fe235, 0x20e56db4, 0x2e4599d9, 0x92ce6466,
+    0x1467f8ad, 0x6a9e0644, 0x390e1709, 0xe258960d, 0x5142e89e, 0xdf1ff27f, 0xf350ec37, 0xacdec957,
+    0x7e393316, 0xe24d352f, 0x91f502ee, 0x232cfd61, 0x0f82c852, 0x6210b8bc, 0x57473aba, 0xe7473682,
+    0xb084cfef, 0x0f34ea1b, 0xac4edf73, 0x4fa4442f, 0x2ce1385a, 0x39943135, 0xfe213912, 0x572f29c4,
+    0xaf9e6a43, 0x0fa626f0, 0x6d398cb1, 0x245abf72, 0x309783ef, 0xd6bdb111, 0xa5e982e8, 0x74a69ba5,
+    0x9982b6e3, 0x7c0d1539, 0x789796be, 0xb9d39a2e, 0x94619e8f, 0xe7aedb1e, 0x960ccfff, 0xa2e71311,
+    0x60be1fc4, 0x1d4eb92d, 0xa4404c51, 0x954a20b7, 0xa9066903, 0xd39a7f06, 0x53abad5d, 0x264e5b8c,
+    0xd1729f4d, 0xeb637378, 0x4a8bea80, 0xaf601cc1, 0x1c86f7eb, 0x83feb700, 0x847c1c17, 0x833e52e1,
+    0xfb2b08e2, 0xbbcde253, 0x40a11175, 0x703f3c72, 0xaa8b2a87, 0x7a35edf1, 0xf13c75dc, 0x6b327113,
+    0xba96e08a, 0xc5be5e67, 0xa6dd181e, 0x6cf99a68, 0xc8cb13c6, 0x49368d10, 0xa037e677, 0x4ba48a01,
+    0x3fdf4def, 0x7df88320, 0x1bb92875, 0xc6a6729d, 0xf32f9298, 0xbfe205bf, 0xcdf34c18, 0x3fa87522,
+    0xc3ecc6bb, 0x0e031ee5, 0x397782a2, 0x7b737040, 0x828344c1, 0xb45e2d2d, 0x1feff692, 0x65b1f70b,
+    0xe84f6693, 0x8f237392, 0x67f99d92, 0x34719c40, 0x3322371b, 0xcb2b6851, 0xb7371af3, 0xdbc1ee6b,
+    0xaad90423, 0xc98a7532, 0x336f1572, 0x11bb0df8, 0xdc901b25, 0x53eb1004, 0x8eafed9a, 0x98fb475b,
+    0x1724b526, 0x8fa8853d, 0xda45ca6e, 0xac15a9aa, 0xe0c1e66e, 0x074c424b, 0x452f5c38, 0x63e71f8e,
+    0xbdd1a9ae, 0x3304459e, 0x49d4843e, 0x36c0584e, 0x4d29f376, 0x74f84351, 0x2a6ebf43, 0x36667c14,
+    0x21a0d4ef, 0x2413bd5d, 0xfdd0dacd, 0xd752f90e, 0x0d581184, 0xf48e4a09, 0x3568a560, 0x62c5fb0e,
+    0xe91bcf4b, 0x493cbbff, 0xda8942b1, 0xcfbf8e89, 0xec18ffc7, 0x85e8d10f, 0x85e97062, 0x9ccb1b78,
+    0x85911c00, 0x81437369, 0xaa556efb, 0xa26be4b6, 0xb8b06880, 0x832898e0, 0xa8ea5456, 0xdae6caa6,
+    0x4e5d948e, 0x3ed78fc1, 0xdd2ea3c8, 0x69581920, 0x94d95346, 0xe64c8a1e, 0x7c9641d3, 0xf912b0a7,
+    0x40ffb25f, 0x9c776eda, 0xac4af3e2, 0xa2544cd7, 0xb823d87b, 0x34adac0d, 0xe823eac5, 0x59d955f5,
+    0xf7b5c0dc, 0xe3377b11, 0x81ea32b3, 0x097fe5d9, 0x3b150b6c, 0x9143c8bc, 0x150a47c8, 0x1dff677a,
+    0x85bbad62, 0x968ab526, 0xaf213051, 0x50907c09, 0xa87c54d8, 0xc9fd4955, 0xaeb57913, 0x7eebe4cc,
+    0x06b34df0, 0xd9e8ad44, 0x55eae97b, 0xaf9dfe99, 0xc44bff69, 0xeaea3988, 0xf3f05d71, 0xb2f09eeb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000004722366482869645213696 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f0979a, 0x3715fc91,
+    0x00000000,
+    0xa26857e7, 0x5ccbcf45, 0x5dc516a8, 0xaf08848c, 0x2ad2fcdf, 0xa6b9c995, 0xd903dd72, 0x600502f9,
+    0xbacf131f, 0xad66ce82, 0x8aa402c7, 0xe12122e4, 0x4194cbc3, 0x61074bdb, 0x2e7127d2, 0x14b2d925,
+    0x58c45385, 0xac3f6e87, 0x0127ebae, 0xcf6739ea, 0xf48a150c, 0x9962c2b5, 0xea16edc8, 0x276f5682,
+    0x325311cd, 0xce4c8ef0, 0x4b777b8f, 0x06d5b67d, 0x6c33d319, 0xa0ad03d7, 0x4d4909ba, 0x800dac25,
+    0x2050752d, 0xde2366ac, 0x70af3c01, 0x1a665281, 0x061ed76c, 0x1286c8f1, 0x08b2090a, 0x2fb09fa5,
+    0xcf9397aa, 0x13c235dd, 0x8310bc11, 0x674c2d8c, 0xfe27c3d4, 0x5f9764b0, 0x481cd1ce, 0x50091e85,
+    0x4d2be4d4, 0x0dd75041, 0x6cf739e3, 0x1764aab3, 0xfeba9b37, 0x0fce92c9, 0x1a73ef0f, 0x79d113b8,
+    0x21851f20, 0x0864ad97, 0xe5a2bdd9, 0xaf6e8808, 0xda5f20df, 0x12568a8a, 0x6c6f87ac, 0x8dc2f73f,
+    0x661038d2, 0xf6785980, 0x6df2187d, 0x162b4227, 0x716f744b, 0xfc6834f4, 0x91aa7ee6, 0xb8460609,
+    0x1aa6ccf2, 0x1e543f10, 0xe6bada2c, 0x5946fb60, 0x8781c23f, 0x12d09829, 0xa2f8211f, 0xf61c3c75,
+    0xc5f52c41, 0x9a8518c0, 0x4adc5047, 0x304ad4a3, 0xa14a071e, 0xef6034f7, 0xdf7b21db, 0x9f9ed001,
+    0xf17060c0, 0xae33e536, 0xc8c7b464, 0xe969c034, 0x389a1088, 0x6e3d9bab, 0xee58ae00, 0xf6339d73,
+    0xf74bc4fc, 0xca66dc45, 0x00fea2b7, 0xcab5fc7b, 0x91484f82, 0x402d9d6f, 0x191b95d6, 0x83c10078,
+    0x24aa97cb, 0x80cb2735, 0x79be55f5, 0xe25360f4, 0x9ee7ead0, 0x1463f100, 0x5076e0a1, 0x44c2efad,
+    0xdfd103bf, 0xe4193852, 0xb35b92f8, 0xcc603af1, 0x7a8e2984, 0x904f34ef, 0x7e0892b0, 0xfe1bd44a,
+    0xd4b5c4b0, 0xeab1aeae, 0x9048aa24, 0xd0539378, 0x4ce31521, 0x2d96a963, 0x030c6644, 0x413e1d6f,
+    0x58c63330, 0xb7856a6c, 0x0123c51a, 0xc01b17b6, 0xccf5a93a, 0x8bf0fee6, 0x60533c90, 0xbb82fe8a,
+    0x9ff05845, 0x962f8c07, 0x80ae9a21, 0xf5e483fd, 0x5cad17a7, 0x8cd92850, 0x801dc425, 0xe669119e,
+    0x08a3376c, 0xb774875c, 0xa68700cb, 0x5474eedc, 0x0876c723, 0xf28b7b72, 0x844bc3f8, 0xfb33d48d,
+    0x5c57018d, 0x864e1b2e, 0x659591f5, 0xcead6434, 0x32f72cf7, 0xdd0517fb, 0x3f972d67, 0xc6dfabb8,
+    0xd6a9b66a, 0xbdb09bf9, 0x263148fb, 0x9440e82c, 0x59c11d40, 0xe455a47f, 0x490c21d4, 0x3a15a1c0,
+    0x2510a7d7, 0xfc6306a2, 0xa134b93e, 0xf9af4fb7, 0xf14c1b7a, 0x5a1936fa, 0x3de18b73, 0x9f17a3f5,
+    0xef04eaca, 0x160e32cf, 0x67d6a903, 0x94aceca2, 0x233048f7, 0xfc10454b, 0x5a313f91, 0x6d0ff3f7,
+    0x19d4c71d, 0xb3623347, 0x2eb12d7b, 0xb23f202a, 0x95dcb2ec, 0x24e55b13, 0x9e6a0824, 0x25225eec,
+    0xb1aa701a, 0x7334056e, 0x44bd3e6f, 0x2a91bd98, 0x5d3c7162, 0x7640a91a, 0x7b476749, 0x02e189d8,
+    0x3eb3a204, 0x95e1ab9f, 0x734c2f1c, 0x84f869e6, 0xc73f33a4, 0xb60c0d90, 0xe2cb5ce5, 0x0c6f8574,
+    0x632a2943, 0xc70c8283, 0x66659ba1, 0xf80f69fe, 0xa809f623, 0x8c741586, 0x9c5c3f68, 0x1040a0a3,
+    0xeabac593, 0x7ecd90f6, 0xbb7a6097, 0x304b9dde, 0x303adc71, 0x2bc55fab, 0xe3446574, 0xc4019ecf,
+    0x22e26f4a, 0x7702c218, 0xe5c66e30, 0xede1b0f5, 0x25e8bea4, 0xfdda5a88, 0x60fed597, 0xcbb22fb0,
+    0xccb711f1, 0x091f88e4, 0x86f910c7, 0x7a289ca6, 0x5b909477, 0xa338b86c, 0x23fb89ab, 0xeab79692,
+    0x4599e072, 0xd05cbf33, 0x2f308897, 0x40c68cc0, 0xba601598, 0x95a09af7, 0x9dd7b2bb, 0x699cb856,
+    0x700c8752, 0xdf260f91, 0xe05d1e45, 0x540cc4a3, 0x2500e8e3, 0xf51d9e4d, 0xe366d3e1, 0x159c3bca,
+    0xf91f3785, 0xab9770d3, 0xb68ab5e8, 0xf71b682b, 0xd60fd039, 0x99b4e77f, 0x638dd532, 0xef7eb556,
+    0x06b7657c, 0x0a6180c9, 0xfadbd054, 0xa2b0c946, 0x50028685, 0x844ee257, 0x650b20f5, 0x2079e71f,
+    0x0cb04906, 0x778d79d1, 0x67783dae, 0xb61ba12e, 0x91800826, 0x1001e88d, 0x4fcfa4dd, 0x9b3e1228,
+    0xc801f83e, 0xbfbba2e0, 0x8c8ef366, 0x8287084d, 0xefcb967e, 0x9ee770bd, 0x47ac81f6, 0xc619bcca,
+    0x979d277c, 0x59ed60f3, 0xae6599ca, 0x46dc03c8, 0xe813e965, 0xdefae719, 0x283ca16a, 0xa6b887d6,
+    0xbdd37cd1, 0x1b48081b, 0x2060cc60, 0x97158530, 0x122191c8, 0xd145f1dd, 0x2b657ca0, 0x4b2eb102,
+    0xb2030620, 0xf9b6ce30, 0x0b995b72, 0x8f3b3200, 0x432391bd, 0x3e078329, 0x4d27b61d, 0xfd28c7df,
+    0xcc110daa, 0x6bad1f83, 0x835e16bf, 0x313cdd9d, 0x3185ba8f, 0xc9491946, 0x383b8d67, 0x0280a518,
+    0x8a7a379c, 0x7e1c7b74, 0xcd15fbb5, 0x8957e97f, 0x3c85688c, 0xf510cdc7, 0xd1db2694, 0xf00f8c72,
+    0xef22576d, 0xb5a58d86, 0x1f106839, 0x68922725, 0x98ff4477, 0xd4beae4c, 0xf1ce54af, 0x910eb99f,
+    0xfc812aeb, 0x380de633, 0xd56ebe8b, 0xec821476, 0x75b105bb, 0x6390f817, 0xce2f64f2, 0x5dc353fa,
+    0x3f4333ad, 0x158602a5, 0x34f57909, 0x84026bdb, 0x14181b9e, 0x2ccd3aad, 0x4211155f, 0xeb802478,
+    0x4d3fa8eb, 0x15cd3d29, 0x8bf2bf66, 0xc5e2eb65, 0xa2167b0d, 0x0bfe1db7, 0x6e0880d8, 0x5660ab98,
+    0xd390d0c1, 0xbb71af5d, 0x8ca2c789, 0x2cdcf8db, 0x563e5298, 0x6b4fe813, 0xd4b42469, 0xaaa09f0f,
+    0x99305e74, 0x725c5079, 0x2dc04046, 0x7a1e0414, 0x0722930b, 0x069f2670, 0x14f6fed1, 0xc89af49b,
+    0xffbfb348, 0xd69a723a, 0xde05d31a, 0x1fc0229a, 0x27577913, 0xaa9a34cc, 0xf4d99d5a, 0xbc0e41a2,
+    0x17762123, 0xe9354fa8, 0x83af32af, 0xfb1c9c5b, 0xc4c37b15, 0xe8e4d765, 0x01f54e53, 0x17730280,
+    0x99e35e49, 0xca1f22fb, 0x5016af01, 0xfe7b6f94, 0xd8b1089c, 0xd19d9848, 0xe6f51df9, 0x85116246,
+    0x5472ff0e, 0xafb7a298, 0x3fd1cd13, 0x6631f376, 0x1baf3bd8, 0x456f44a2, 0xe2b44a4f, 0x533f351e,
+    0x6d7de955, 0xec75f688, 0x2561e780, 0xb8249ed8, 0x491fee3f, 0x04855a60, 0x5b46096a, 0x247d90e9,
+    0xf48a7e2d, 0xaee1942f, 0x90b8ad2f, 0xc549f8df, 0xbf73ce95, 0xf41a807f, 0xec6daaf0, 0x34ca03b9,
+    0x9a9c3d33, 0xbaeb798c, 0x49725acd, 0x3b221ce3, 0x823cd0f8, 0x553e2e99, 0x622037a3, 0x177ff18d,
+    0xf60304b6, 0x9c2df1e3, 0xeb2c954c, 0xfa95a8fd, 0xaf96e81a, 0x6e3ec39b, 0x26d9ffec, 0xdd6de0d4,
+    0xa60fe052, 0x283a942b, 0xcd7fb6c0, 0x1e586182, 0x48f523d0, 0xc5411c6d, 0xb16e4932, 0x6aede626,
+    0xf513ef1f, 0xc98a84f0, 0xf66b20c0, 0x543018b5, 0xef295930, 0x800ba091, 0x11630c34, 0x0a4ec278,
+    0xabda87db, 0x63c7d04a, 0x85b17ce1, 0x69f86b57, 0x0bcbb662, 0x385f0cb8, 0xc5c48f7a, 0xf849f11d,
+    0x59d1103d, 0x6fa2ef6c, 0xccdd1171, 0x57bbbf2d, 0xbf654b8e, 0xe1dde69e, 0xa9b7a5a7, 0x2fbc3249,
+    0xd62c174d, 0x6547a166, 0xe2b5f959, 0x24210586, 0x931f4be1, 0x2325671c, 0xce845819, 0x2d34849d,
+    0xb34e0433, 0x7cae672c, 0x7be4642f, 0x14d0e9fd, 0x5e244db2, 0xaf63e70b, 0x9fd1f0a9, 0xa743337a,
+    0xab0fcf8b, 0xb912fe54, 0xf43d3621, 0xc827aae6, 0xe436082f, 0x2708903c, 0x3aa57ba6, 0x04d92c13,
+    0x149bfa62, 0xfada8730, 0x1c4dc557, 0xe66a52dc, 0x6cd902e3, 0xd0254d7a, 0xf765b9b8, 0x201ef327,
+    0x55ae551a, 0xc1bdd026, 0x6cd7b6fa, 0xab52ed22, 0x2a9cf2f8, 0x6f97e3be, 0x406baf09, 0xd1020dd6,
+    0xa046da9a, 0xc38ef7d2, 0xbdafe345, 0x850dbe81, 0x75ac93e6, 0xd3b24237, 0x64b3b041, 0x3fc09ac9,
+    0x14158426, 0x3e65caaf, 0x4b8bc490, 0x9d61cf59, 0xb6ce5b75, 0x2008dced, 0x5d189871, 0x40849b96,
+    0x4e6725fa, 0x036a0824, 0xc2fcd210, 0xa1ead9fc, 0xb1592e73, 0x412990ff, 0xcaea17e4, 0x04a8f41d,
+    0x16da2817, 0xcf853f69, 0x34d1054e, 0xb22178a5, 0x8ea4b3ef, 0x922224bc, 0xc0fa93ee, 0xa1a2dac8,
+    0x9f80c206, 0x8022a114, 0xed31dcfc, 0xd8b95975, 0x76154555, 0x3b028757, 0x59318840, 0x987b7c40,
+    0xb4a9d8d5, 0x81454494, 0x8d8f8237, 0xa05b9baf, 0x47559e8d, 0xecba7f1f, 0x7f71201d, 0x52f6a009,
+    0xf1649e01, 0x8423d310, 0xa23cd613, 0xd3bd0982, 0xb3411c33, 0xde216c39, 0xe60f310a, 0xc54f3e20,
+    0x6fd3b9fd, 0xabe81c3e, 0x8c91ab19, 0x14e7f9a4, 0xdd530ed6, 0xc75cfe82, 0xdd870f70, 0xd833c1a0,
+    0xd0fdce54, 0xeedb5c0e, 0x07c22232, 0xb7f0423f, 0x755597a9, 0xd73f4802, 0x1cf55a7b, 0x8a2e1560,
+    0x526661c1, 0x8097c1f5, 0xabbf2175, 0xe5c00096, 0xed569e86, 0x5be99f10, 0xbca8bb94, 0xddc07eb8,
+    0x3f819461, 0xe2a9469c, 0x10deef16, 0x3d5151bc, 0x7c7e3e4f, 0x48e209f9, 0xa51a7bbb, 0xaeaa76d3,
+    0xc67ea4ae, 0x6bbcaa34, 0xa5440026, 0x4a3ddf69, 0x6621c151, 0xc1d052b9, 0x2388eeea, 0x9c25c156,
+    0xa2a178e2, 0x08bff673, 0xf0497561, 0x7522e9bb, 0x2e3b2f36, 0xdb64ac2f, 0xaddbfcd0, 0x4b3ac167,
+    0x4b7d6dea, 0x33228e3c, 0x121047e1, 0x35e946fd, 0x90f4884c, 0x420cc12e, 0x1ce7ebaf, 0x951104a2,
+    0x9116b9bd, 0x3ea4bc83, 0xd78e8925, 0x30c50f77, 0x3577bd63, 0x6325d277, 0x13f221ac, 0xb34fa6e6,
+    0xac6b5d7a, 0xe1d3ce1b, 0x2d7f24cf, 0x09122129, 0x5296f914, 0xeaa86c69, 0x97cec9df, 0x4fbbfa96,
+    0x54a74dbd, 0xb51e2aa1, 0xb6264aae, 0x0a9e02f1, 0x6bc2aaab, 0xc6be6bd3, 0xe5c417e4, 0xbc310974,
+    0xd14f4369, 0x5e06bae0, 0x22fb0f69, 0x1ec07342, 0x801c9333, 0x4c3e218b, 0x9a09f72e, 0xbfe1f178,
+    0x4fd0d9be, 0xf18cc339, 0x4b0cca57, 0xfd4003bc, 0x6576ef68, 0x323dc7ab, 0x2657a776, 0x149a22c5,
+    0x28faffa2, 0xa1438f45, 0x96923dd7, 0x4609176c, 0xa7643b1c, 0x6c147b20, 0x2a5f94bb, 0x126f7ab9,
+    0xc3c46c0d, 0xa4db2411, 0x920e902a, 0xbdb05727, 0xefd3703a, 0x3c135c0d, 0x0bebff39, 0x7ee0f724,
+    0xfd25c28a, 0x6ca0e508, 0xa0bf99c4, 0xb53e0d3d, 0x1a4c0a3e, 0xecd057dc, 0x06832375, 0x002041a4,
+    0x22eb03f6, 0x542ec3ed, 0xcbaa4d91, 0x08347e68, 0xd973318c, 0xef3ac053, 0x9b6716bd, 0xfeb1dee4,
+    0x4622f001, 0xd29ecfd3, 0x47db075e, 0x8a7d5887, 0x2ca7d33d, 0x02aa96c0, 0x6ebea68d, 0x41361805,
+    0x12c47929, 0x150815fd, 0x2e46a8cf, 0x79797500, 0x511dd133, 0x03fd5e0b, 0x8bdc0499, 0x74eebb20,
+    0x2c5ca8b3, 0xf644f9f6, 0x82891e30, 0xe8c01c2a, 0xcdf5086c, 0xacbdaf19, 0xfad0381b, 0x584e5eb4,
+    0x722bf674, 0x3271f36f, 0x55a420d3, 0x6eda30a7, 0xe9403ab1, 0xae118738, 0x6b7b8f57, 0x4833c3cd,
+    0x65cb8569, 0x0c8f894d, 0x68364273, 0x40c472f1, 0x6499f368, 0xf21db62d, 0xdf42799e, 0x393e6bef,
+    0x917a821c, 0xe80e2a55, 0xff2b7924, 0x94802589, 0xbc6041cf, 0x73c7d377, 0xc8af79f9, 0x9a8c24ff,
+    0x58d972fa, 0x1b622d2f, 0xcf2e2552, 0x4b8365f2, 0xfbffdf89, 0x796e4a59, 0x6fd7f005, 0x8106bb5d,
+    0x10e09ea1, 0xa9fcb90b, 0xa2cd4125, 0x285d80d4, 0xd6cc954d, 0x8937b7f9, 0x290ed950, 0x8e218f74,
+    0x3d577ef9, 0xfe5454ad, 0x9ed863d3, 0x01983afe, 0xb674d53a, 0x4c699e24, 0xffbd6802, 0xb6c17ed0,
+    0x8d1842d9, 0x4b3f32e0, 0x022a0d59, 0x4344c2cb, 0x37e7b4c3, 0x2e301a1f, 0x19f26797, 0xac4ee56f,
+    0x3811d3df, 0x77783890, 0xf92a2c24, 0x1bf04611, 0xabc106e3, 0x570563ef, 0x0a6395c1, 0x736f60b5,
+    0x4f857733, 0xde618217, 0x6aee36fe, 0xf431bd2b, 0x256c3ee3, 0xb12c4ac3, 0x26df1002, 0x1eebf2fd,
+    0xc6751e4b, 0x953699c7, 0x4d57fa33, 0xc4defd00, 0x01b72082, 0xa8158c6a, 0xe3891249, 0xa8597182,
+    0x66537cb5, 0xe0b983b4, 0x376a27e7, 0x1ce77aae, 0x1162f417, 0x6fa8399c, 0x80d07300, 0x80e17a60,
+    0x8f059646, 0x03b6a220, 0x5f708774, 0xb46feb83, 0x081bb6d6, 0x9f6134fe, 0xa2fcafbd, 0x08431e69,
+    0x68e29349, 0xfbbdd90c, 0xfa3a410d, 0x099f8e97, 0xfe858b52, 0xc50f5a9e, 0x1ddca0d3, 0xbb0b6cf2,
+    0x18f40a98, 0x91314cca, 0x2e7022c6, 0x2dc0559e, 0x8aa45dcd, 0x9fdee374, 0x63287d56, 0x04254e1e,
+    0x8eda7bdb, 0xf8cf9b3e, 0xf8365373, 0x985d459d, 0xa5db5072, 0xdd9726b7, 0xb78e1318, 0x81f57f38,
+    0xab7bb6e8, 0xd983fc24, 0x52474923, 0x26104c96, 0x5add532c, 0xdc6bbbe1, 0x0cc01a1d, 0xbf9d673f,
+    0xb879d3dd, 0xa1344d9f, 0xd73ea5db, 0x3a6dd71e, 0x5e1dd802, 0x4b506933, 0xa78ce3d3, 0x173fbe74,
+    0xcde600e7, 0xb1a0b5a8, 0x6ab1a67a, 0x5e518c10, 0xbab133c1, 0xfd8fad97, 0xf0592402, 0x60b6d52b,
+    0xc9ef1439, 0x2aa82137, 0x27255b8e, 0xd8c24a60, 0x008cdca1, 0x2a1570d4, 0x4ca590e3, 0x78008bfa,
+    0xcc15bb61, 0x7f191f2e, 0x51058d59, 0x3cf39e17, 0x97ccab30, 0x4bb94482, 0x3fa524da, 0xd18d28b1,
+    0xdb4460e0, 0x071430d8, 0x03b2741f, 0x408a7e99, 0x003c70a8, 0xadb7eb13, 0x018e748d, 0x513b610b,
+    0xb76528f6, 0x27ccd272, 0xf24e0c3d, 0xe5d6a902, 0x3e6fba7b, 0x2b07383f, 0x541200ed, 0xdf3d09dd,
+    0x0971920c, 0x8f32d384, 0x98131734, 0x0b6c5848, 0x3a2b4a86, 0xb6c76d23, 0xa405749a, 0xebf435d1,
+    0xe31a4b5d, 0x960e6c07, 0x29b18032, 0x4b465558, 0x792ad7c4, 0x47bd700c, 0xa131ba12, 0xe3cd9a68,
+    0x2f1299d6, 0x67245e6a, 0x9bf9cf8c, 0x3766641d, 0xc27e942e, 0x7b05a518, 0xfca7ea7e, 0xeb4d7f47,
+    0x6f54771c, 0xd27b3a67, 0x78b7874b, 0x7f771bab, 0xe93af6d1, 0x31244276, 0x0d9bb146, 0x5b5a5749,
+    0x6bb9ca4a, 0xfb8d948c, 0x7b520c93, 0x465a9171, 0xda6246f4, 0xac285798, 0xf92c0048, 0x9e252af2,
+    0xcea810dc, 0xdf9fed95, 0x810bcafb, 0x00ed3a0f, 0xec8f7e19, 0xabd22c96, 0xf0cce089, 0x35d68e12,
+    0x11b173c8, 0x57b3dcd1, 0xfdabb6b9, 0x96faef38, 0x10220327, 0x2ea47b25, 0xd99468ba, 0x0e113bec,
+    0x31cacbb9, 0xf00cedd3, 0xd1ef6c1e, 0x8925fbde, 0x97961325, 0x0f13acdb, 0x5ab3ce89, 0xaceabf83,
+    0x49587a0d, 0x53162209, 0xc473a1ae, 0x1e00f3fd, 0x27ed0a71, 0x2e930b30, 0xf0fc4660, 0xb8c8e1e5,
+    0x606526a8, 0x2e5cb53f, 0xe53816c4, 0x26a8530a, 0xb0ec224c, 0x8d2b3146, 0x57a4695a, 0x7c75e40d,
+    0x13f78533, 0x7fbd0862, 0xabb96dd0, 0x41b07d63, 0x43c853f2, 0x3832c13f, 0x12fda220, 0x4f7f138d,
+    0x8c232c70, 0x089f5b68, 0x1cb10a1f, 0x9a4a78d8, 0x8df54db8, 0x6a10025f, 0x5473d2c1, 0xf8bb9236,
+    0x563c9902, 0xa78c8909, 0x26041de2, 0x05f7b30f, 0x044497d8, 0x54507589, 0x4db8718a, 0x40bbd1d8,
+    0x65da4365, 0xcc4b2ca5, 0x48988148, 0x0565acc7, 0xb0a42e6b, 0x060cbaba, 0x0d59a058, 0xf10668bb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000002361183241434822606848 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcd, 0x1b8afe48,
+    0x00000000,
+    0x902e587f, 0xc8c89350, 0xe726d28a, 0x6acc6be6, 0xd4ea0c5b, 0xf6bc47fb, 0x3a36752a, 0xa13aeaaf,
+    0x1c68c5bf, 0x9eb8300e, 0x9491c1c2, 0xc76e01bc, 0x25b7bde5, 0x42b68553, 0x6e84920f, 0xc48909cf,
+    0x21c256d5, 0xf5890e34, 0xd4e9eabe, 0x7aefd763, 0xcb683ce1, 0xc520e23d, 0xd1411859, 0x60305765,
+    0x8b604690, 0x2d69a392, 0x1c56c324, 0xa27912c1, 0xa9fd331a, 0x9df4cba1, 0xf12ac457, 0x2e99bba9,
+    0x0d12a24a, 0x2bd017c8, 0x84c79868, 0xbfbcbca4, 0x9782c07d, 0x927a5a91, 0xaf4bea67, 0x8c758aa0,
+    0x26cc43ec, 0xed8c2e05, 0xbe80baf3, 0x95a259ac, 0xbf849af7, 0xa0278158, 0x933d76a2, 0x0b3c8d17,
+    0x33cb4d53, 0x677cedd2, 0x2943a09f, 0xdf12f0ad, 0x87e6c672, 0x6ca57546, 0xe21b9669, 0x0c83e368,
+    0xc4f8ecd3, 0x45b8b691, 0x0acfe3af, 0xf0cc769d, 0x78e3b67d, 0xf6b98773, 0xcde69df7, 0x8b669c7e,
+    0xfc62a8cb, 0xd6984224, 0x87ec4788, 0x0280fe6f, 0xd208e4c7, 0xaa39efd5, 0x0b972b15, 0x1b51917a,
+    0xf143f14a, 0x268b8f42, 0x9cacf3dc, 0x1845aa7b, 0x81affaa4, 0xda862daf, 0x87370362, 0x66f0346a,
+    0x6ac99c17, 0x0baa907f, 0x4662ac35, 0xbd83654b, 0x092750c9, 0x6a0b2b4c, 0xb718f1c8, 0xe38e0f04,
+    0x18b6eca0, 0x66b3a637, 0x8fb280fc, 0xca366a44, 0xa9ba532c, 0xe8910190, 0x390af19e, 0x418b26bd,
+    0x8bf1e4b3, 0x00602a3d, 0x49016111, 0x9574bd34, 0x050e59aa, 0xfac823cc, 0x5ceae7d4, 0x2fdc2533,
+    0xfd9c1c74, 0xea6f39a7, 0xe4287a11, 0xec23e111, 0x7cb7dbf2, 0x694df60a, 0x1009acbc, 0xdde091cc,
+    0x3fa68683, 0x5478f726, 0xd3c86db8, 0x95be2c3c, 0x55971725, 0x455624c3, 0x303ebf7c, 0x7eba22ac,
+    0xff57785b, 0xe9753671, 0x4e8a8c7c, 0x97fd1004, 0x7897b80e, 0xfda173a7, 0xf380bb2e, 0x87098e53,
+    0x2ff85be4, 0x90ca10d2, 0x06901dd6, 0x029ad660, 0x93c30778, 0xad3898a1, 0xd6361d7a, 0xccbaf435,
+    0x4c3d36f3, 0xd48d1359, 0x423dae1e, 0x93d89db5, 0x2ee0250c, 0xb3989695, 0x5cdc61ca, 0x232ba602,
+    0x4cde796d, 0x495691d8, 0xc3a0499d, 0x30e447a3, 0x4d2e4bcd, 0x44c269dd, 0x336f1876, 0x2ea96b6c,
+    0xcb94ac66, 0x9ad3dc6a, 0x23b0d2c1, 0x169db085, 0x52890aea, 0x1204702a, 0x0e8eb363, 0x146f98e0,
+    0x1eb869d3, 0x62656f2d, 0x24c149fd, 0x546deb37, 0xd558847c, 0x9d09eadf, 0x99b7ca4a, 0x0d0af8cf,
+    0xa08801a5, 0x9f41af32, 0x93c6b9fd, 0xccbcc3c3, 0x08c6e4a2, 0x6c4a4ae6, 0x606b3db6, 0xf0c32466,
+    0x2bc2d61a, 0xff27f771, 0x6bc55e07, 0xbe4d301c, 0xf99cd072, 0x81fc7d22, 0xb2c1513b, 0x73ecf59e,
+    0x959b7ea5, 0xb19a04c5, 0x9059bbde, 0x41438324, 0x48b6b003, 0x52d53f2c, 0x838a87f4, 0x41dc2880,
+    0x86abd2eb, 0xc2f290cf, 0x7cde0a25, 0x9b3418ea, 0x9974ae5b, 0xcdbdf5f6, 0x49350001, 0xfb637a28,
+    0x272102f8, 0x46d79a42, 0x72141ea5, 0x4a8cc650, 0xac17580a, 0x849df6df, 0xd9da8078, 0x1cc153da,
+    0x829512a1, 0x95667fd7, 0x4d92a7a4, 0x7d59d22c, 0x08a12876, 0x2594b268, 0x33d9c10f, 0xdbf9ba35,
+    0x43c2b7b4, 0x54c73aaa, 0xf27105de, 0x3dfda26b, 0xe01d09bc, 0xa2b5dc37, 0xff9015b0, 0x0d8a6a46,
+    0xcfb25a72, 0xe7f3e013, 0x646a0999, 0xb503d0aa, 0x9794061d, 0x015df443, 0x76656f1b, 0xa85a303e,
+    0xcf8935aa, 0x16dce2ae, 0x9d5188d7, 0x82b7ee6a, 0xae12d392, 0x3c2a7bc9, 0xa195803b, 0x21559348,
+    0x1c9b30f3, 0x9f3aa724, 0xa37ce5cd, 0x6cb8303c, 0x506bfe61, 0xf71d0bb9, 0x130977eb, 0x0ee465f1,
+    0xd73747bc, 0xf631fa5c, 0x06b32e18, 0xd96294f1, 0x788fde19, 0x83c81b80, 0xba9c68e6, 0xeb1992ed,
+    0x4bdf9f8b, 0x7b429143, 0xf9acab31, 0x76f3ccdf, 0xea9fbf12, 0xd07acab6, 0x32448c33, 0x9b59744b,
+    0x62b59131, 0x18474497, 0x8ce25c2b, 0x889cfec3, 0x99b38fa2, 0xd36858c3, 0x6571972c, 0x156d22f2,
+    0x07f2c8a1, 0x10b36a50, 0x9a4bcb34, 0xc8a6e8c2, 0x36b0a103, 0xd2e86a10, 0x0b0f84ec, 0x3a08ec25,
+    0x33ce59a4, 0xad760328, 0xd24f465e, 0x7827a202, 0xca1d0c20, 0x4ba8c859, 0x570a3b79, 0xbefb14de,
+    0xca64c8fd, 0x715f4491, 0x73effff5, 0xcb6e8715, 0xcb53c83d, 0x205f9bc8, 0x876aebb9, 0xcc56b731,
+    0x66190f87, 0x89b289a3, 0x329b9004, 0xac0e2500, 0xb5481b70, 0x8bcace2c, 0x5fa3130d, 0xbe8e26dd,
+    0x8dd6ad6e, 0x85eb1db7, 0xa957d4a1, 0x5c0044ca, 0x8eace509, 0xb5a706ea, 0xabcadb42, 0x7632e317,
+    0xb1bd0e55, 0x18eb3614, 0x64812d6a, 0xed3d5b4a, 0x16e16c2d, 0xea30db39, 0x580efc66, 0xe304f738,
+    0x2ccb3c19, 0xa862abd3, 0xe84db54c, 0x765a0782, 0xca3872b9, 0xcaf7bfca, 0x4ff23b57, 0xf39bd09c,
+    0x5a570c48, 0x7a39beef, 0xf3cf59eb, 0xf6a393a6, 0x5417586d, 0x630b3075, 0xd29508ec, 0x4a248046,
+    0x446b465e, 0x09b2791a, 0xf6397266, 0x1752d501, 0x15561f54, 0x4788e058, 0x2370622d, 0x6573b354,
+    0xc5e55356, 0x616659dc, 0xbc8d1595, 0x79113e1a, 0x9831ecee, 0x4d9b301c, 0x9419c0bd, 0xa31d4cd4,
+    0xb17c643c, 0x18c92166, 0x7145f98d, 0x9870813e, 0x68b6d406, 0xc59d4ee6, 0x2d634101, 0x9bfeb534,
+    0x8ccaec3c, 0xd71c76e6, 0xd47d4faf, 0x2862b5ac, 0x358f6c5f, 0xd37812a7, 0x3be0398b, 0x87532112,
+    0x09b1581d, 0x0625d9c2, 0xe3a24eab, 0x23c3062a, 0xfa57a7cb, 0xce6d66c4, 0xa94a3cbc, 0xf0a46d33,
+    0xa079c643, 0x8201cdb7, 0x66689edd, 0x83760931, 0x0c3e06c5, 0x00a64c0e, 0x658cea43, 0xfcd356e8,
+    0x9c9225c0, 0xe8a31e73, 0x4ffed6d7, 0x55812920, 0xa08bfa89, 0x89a5f0d4, 0xe93b2a45, 0x86c40543,
+    0xf5eb2d2d, 0x8bd29449, 0xe7693560, 0xd8acd2f7, 0x73037834, 0x34ce06e2, 0xa4305cb1, 0xaa1db29f,
+    0x24397bfa, 0x2b0ad552, 0x03810886, 0xbbf6b895, 0x71e56b00, 0x7c26a82d, 0xbf00585b, 0x8a6f2e48,
+    0x461c67fd, 0x444fc9d6, 0x7bc2a89f, 0xec9b045e, 0x9edb7839, 0x587a2500, 0x6ca825bc, 0x0f0b38f9,
+    0xf7b96fd0, 0x03603169, 0x38cdff80, 0x7b732414, 0x4a6c7370, 0x38505365, 0x141cf731, 0x1411b329,
+    0x2d5183b3, 0xafc8bbc2, 0x56474040, 0x9c94d405, 0xdfb0c496, 0x76211c3b, 0xf9efde87, 0x5a358e6c,
+    0x0b660f60, 0xb9dd8f29, 0xba0f334c, 0x68b3409b, 0x42ce78b8, 0xa2ec867b, 0x54c9b3fe, 0xdfacb571,
+    0x41fe2bcb, 0x82e5a28c, 0x17c7e18e, 0x9a023744, 0x8bf0f08a, 0x8b50119b, 0x2fef7005, 0xdf349a75,
+    0xdd60d963, 0xe164b38b, 0xb156d379, 0x61e41055, 0x17b1c253, 0x28494bca, 0xa0f4fbfb, 0x56983996,
+    0x27e26fad, 0x198e4350, 0xd6c4b39e, 0x488666d0, 0xdf3d1f9c, 0xc67e004b, 0x563a51ef, 0xe279e7ed,
+    0x2285d497, 0x33b9fed8, 0x84ccc8dd, 0x3b01b2bf, 0x996a4360, 0xdbf58d1d, 0x98e25952, 0x7a04d66c,
+    0x3595096f, 0x3bf4ef20, 0xf26bae89, 0x54c0642c, 0xd00f6088, 0x02364376, 0x477c545c, 0x7848e3d6,
+    0x11e32ecc, 0x7a8e994d, 0x87f61473, 0x25e0ff5d, 0xb937f981, 0xfdcb32f3, 0x3ce03c0a, 0xd106c583,
+    0x1ca52448, 0x1329dad7, 0x3437592f, 0x07322cfb, 0xc2663ca8, 0xaaa658c1, 0xb04cddf9, 0x4c15d5b1,
+    0xc043f43b, 0xef855bf5, 0xfb703c9c, 0x899bb814, 0x2d8238b2, 0x617c4276, 0xfc3d6301, 0xf2ce7507,
+    0x07db5ccb, 0xa2a99f3d, 0x2aa71bcd, 0x27515439, 0xa68f5c8a, 0x26b58709, 0x7c54511b, 0x563798f5,
+    0x840371e4, 0xf07b0e08, 0x2d756207, 0xe7d06e2e, 0xc0610c75, 0x7a71b2c0, 0x5ea10f7d, 0x86c1b9c5,
+    0xdb6c3acb, 0x1f9230a7, 0x579416d3, 0x47fe5063, 0xc54572f9, 0x1d0d2985, 0x4bcf564f, 0x568eccd3,
+    0xf1992077, 0x36608be9, 0x7a1269b1, 0x58d27c7d, 0x9dcf09a7, 0xec727ec1, 0x9a52da64, 0xb49de323,
+    0x6778f0c3, 0xf13c9280, 0xb52e2fea, 0x547a8af0, 0xeac5f2fc, 0x999f1da0, 0x2eaf2371, 0x0f48e4ff,
+    0xe3a047dd, 0xcf7c9170, 0x59935264, 0x02464da0, 0x5810b62b, 0x74e8edcd, 0xc0abe407, 0x8e9ae029,
+    0xe1465ec1, 0xe8597c67, 0xaddb57f2, 0x87cabb40, 0xb5973de9, 0x68ab14dd, 0x6ff7bfab, 0x43e0abb9,
+    0x6de3574b, 0xd10d0056, 0x7a1cf983, 0x12311ae6, 0x2cce59ed, 0x554c9330, 0xd09e375c, 0xea36b7c2,
+    0x4acfa670, 0xab8fd411, 0xfc9ea50d, 0x7c914551, 0x341b873c, 0x8f60c375, 0x9979849a, 0x72d0b340,
+    0xa20ac391, 0x51a11b46, 0x674996c0, 0xfbdd0792, 0x9bba1572, 0xe7751010, 0xcb8ae71e, 0x79e86c49,
+    0x6ba2d4d1, 0x8c490789, 0x32b7b3ac, 0x8c538f0a, 0x87d257f9, 0x5573bbcd, 0xa8db0fef, 0xf96111f9,
+    0xf66e535d, 0xf489f4db, 0x615174a3, 0x2e3adbb3, 0x24d8e897, 0xa33ff228, 0x618342c8, 0xbada97c6,
+    0x0a4b77d7, 0x8dcdcd27, 0x2cdbb1d5, 0xf5ee8e2a, 0xf181b0cc, 0x0407cac6, 0x6906fc11, 0x9bc49f65,
+    0x9dccf52d, 0x457f4cef, 0x7f1e3c7e, 0x4d604841, 0x264b748a, 0x165aeffa, 0x829fb001, 0x174ff296,
+    0x7ca0d24e, 0x5c58f9b7, 0xe135ddc0, 0x25202752, 0x061e07d7, 0xb3edfdf8, 0xaacac5c2, 0xa64afe02,
+    0xb52b14b4, 0xc9fc81a6, 0xbc27cb9f, 0x6d049a00, 0xc09e6927, 0xc1586d5e, 0x636e6796, 0xa42536b8,
+    0x0db1806a, 0x9d2a9e74, 0x3fb1dc11, 0x1b410a58, 0x549a9a5b, 0x738e5774, 0x1e99981e, 0x4247813e,
+    0xe49f3b8c, 0x27f9324b, 0xf682e527, 0x58e651ef, 0xe02bcd5d, 0x67e8ed8b, 0xd5c39e45, 0x1f4750e6,
+    0x5915a982, 0xf0c90db3, 0x4fed8ae3, 0xb5344f80, 0x475d805f, 0x378d6a8c, 0xa6ddced5, 0x0e08662a,
+    0xaa096ff4, 0x56227f7b, 0x648415f8, 0xee9878e4, 0x3f2ef211, 0x90703cc6, 0x81e6fad2, 0x64021eb8,
+    0xd38e7abc, 0xfd0b9616, 0xfaac342b, 0x90e7911c, 0xbe875795, 0xbcb69c44, 0x62a5662d, 0x78259084,
+    0x541b9e72, 0x094c5e56, 0xb5743f8b, 0x780c0763, 0x8748da41, 0xba0e121f, 0x23dcda39, 0x82727d3d,
+    0x7e6888ff, 0x143b290f, 0x6a3adc3c, 0xed2f5f5b, 0x40d3695a, 0xef5f4f44, 0xa2fba370, 0x92bde468,
+    0xdd32d732, 0xf1cd62fe, 0xaff7e824, 0x253e5f15, 0xff3b76c1, 0x58d6893c, 0x92e249a6, 0xae943b76,
+    0x09224db1, 0x9a5aad01, 0xed146ad0, 0xc588ba56, 0xb10ed942, 0xbb7488a3, 0xa41e39d2, 0x9a78c75c,
+    0x71e389e2, 0x7b7499e6, 0x50e04772, 0xab46fdbb, 0x1718852f, 0x19b95562, 0xc90b01b0, 0x891357ea,
+    0x281478a1, 0xded5d77e, 0x2a3ec650, 0x17c244d7, 0xce897f92, 0x5c764f70, 0x9fae79a7, 0xec071b26,
+    0x37fed3b1, 0xab8e12a9, 0x6591a4e3, 0xd228ea6b, 0x6a4bad6f, 0x1d7dbdc9, 0x6368284d, 0x3a85e689,
+    0x2f6c1042, 0xe648eb7c, 0x3f823487, 0xd875893a, 0x6a88bdc8, 0x055fc568, 0x14e49495, 0x21932309,
+    0x573c00ca, 0x56ac329f, 0x48b1fc0f, 0xe0963fb7, 0xda20f236, 0x705f3515, 0xdab9c98a, 0x93d0db50,
+    0x8a815116, 0x83d79c35, 0xc76766d5, 0x939ff5f6, 0x9345a9bc, 0xc90e3474, 0x79858191, 0xbca76fdd,
+    0x8443c87d, 0xcef1f75d, 0x0c941e1b, 0x2c35892a, 0xa5161ce3, 0x5d2945ca, 0xe7c3a2ae, 0xf0139666,
+    0x2a1ed886, 0x0c2e4bd9, 0x9bd3e468, 0xa78105d2, 0x4a8f2749, 0xadd28476, 0x8c8194eb, 0x2c2519e5,
+    0x07072ed7, 0x14b25224, 0x83fce4cc, 0xee60fbd2, 0x4c26bf14, 0xf51deb11, 0x3db79d52, 0x39dcc541,
+    0xb8ae427d, 0x335cf9c0, 0xc47090ab, 0x337dc27e, 0x9c0927e0, 0xacc702d5, 0xa776363c, 0xcf5c37e5,
+    0x63826e61, 0x1edfd924, 0x5a4eaf99, 0xe1ca5cf0, 0x834740e3, 0x1fac79dc, 0x8bbf1ee5, 0x0d8dc99c,
+    0xfb26662e, 0x03810599, 0xe8bab0e3, 0xd7dc0f61, 0xc0454e31, 0xb8bea0a0, 0xe61389ac, 0x73eb6919,
+    0x1e17a9e6, 0xfa96c761, 0x696a5c31, 0xdd5d5660, 0xaaec1d19, 0x0c2d47e1, 0xe996243f, 0x706faaeb,
+    0xefad6e24, 0x8f497822, 0x10cedca2, 0x363545f5, 0x1f6f72a0, 0x8dca72f8, 0x41172ae7, 0x1097d673,
+    0x899e7645, 0x663ee86c, 0x4c020f2c, 0x34e30331, 0x24024897, 0x151c41c3, 0x2103d24a, 0x405666f2,
+    0x2f588700, 0x090fd193, 0x009c46f0, 0xf75a613c, 0xf3089cbc, 0xd1396f40, 0x98f179e0, 0xac493dc0,
+    0xae5b5e76, 0x682d6d64, 0x7c7720ae, 0xd073f031, 0xfb0c2c67, 0xe7f50e03, 0x58244733, 0xcb1e8186,
+    0xd4acbffd, 0x63072f5b, 0x709a4ee5, 0x7d250b04, 0xa4e44cb8, 0xdc209eee, 0x3751170e, 0x7ccbacd4,
+    0x6f24f19f, 0xe5c30fd0, 0x21315eb0, 0xdfc777b1, 0x95dc85e0, 0x4da1a73e, 0x5fc5285c, 0x11575d01,
+    0x26104467, 0x5dccea5b, 0x5b007faf, 0x03a10b02, 0x36939d2e, 0x04d16d50, 0x6363cdb3, 0x20421464,
+    0x4f428832, 0x4da4dff9, 0xc1fb05a3, 0xdae14269, 0x4a6b4cc1, 0x7ed6bf45, 0xc2664a52, 0xbb06dfec,
+    0xf3298ab6, 0x48a5a795, 0xc5f883f6, 0x1b621e47, 0xc0db0fe0, 0x1c7de8bb, 0x64f18645, 0x1d46c32d,
+    0x92408fea, 0xb08a8ff8, 0xfae6e224, 0xd549178d, 0x69f3b752, 0x622bdf80, 0x710a6b5d, 0x68d25400,
+    0xed99a654, 0x714f95ed, 0x51f347a3, 0x4436e9e7, 0x7fcc2c28, 0x694476d7, 0x76bc75e9, 0xaa572d18,
+    0xf8a39833, 0x95ddea25, 0xd940ec29, 0xd86c59bf, 0x35c0fb31, 0x4f1daf97, 0x1eb1183f, 0x7d7cf9a9,
+    0xca81b236, 0xab345027, 0x916900b1, 0x06e9260a, 0x2556c2fb, 0x2d106771, 0x4b96a2de, 0x996827f8,
+    0x8bfca1c5, 0xd1ec330e, 0x9b2fed5b, 0xbadbf39d, 0xbcb3756b, 0xd52e4750, 0xad64868c, 0x25ae4444,
+    0x1d810225, 0xe61f3053, 0xea3c3a7f, 0x8b2d7577, 0xb5b88879, 0xfec4a683, 0x5d9daa19, 0x2032e1df,
+    0xcd2addb8, 0xfda69644, 0xeeaa7e78, 0x0a7bdd4c, 0x0cfbbd6e, 0xb2b84ba7, 0xc4a8c512, 0x65beff5c,
+    0x70f77c93, 0x5234a0f5, 0x4fa2ec82, 0x5c464998, 0x79deda34, 0x0239e1e7, 0xd2160165, 0x3e2e54a5,
+    0x6b078a8c, 0xf17d01bc, 0x57e80aed, 0xd827d480, 0x8a951f3a, 0xe8fef3df, 0xd0b0c1d0, 0xdb75ed03,
+    0xdc2a8c8a, 0xae92169a, 0xae9b57a2, 0x358e6caa, 0x4ba879c2, 0x9fb91d45, 0x892fbe5e, 0x79131afd,
+    0x231264df, 0xd960c150, 0x28db4221, 0x9224dadb, 0xd34ea66f, 0x03750d70, 0x03f34088, 0xc2c876d8,
+    0x371c3dc1, 0x2e4ec8bc, 0xbc6dfa53, 0x85d0c428, 0x90041042, 0xc079336f, 0x2092c74a, 0xd1796eb4,
+    0x3af676bb, 0xaffb4998, 0x09e700ce, 0xffe11ddb, 0xd317e90e, 0x57ac2a29, 0x978763d0, 0x5d74d1c7,
+    0xc8ae1cbb, 0xcbcb9606, 0xefa235cd, 0x83799a65, 0xede4a1e1, 0x69f70ad6, 0x10642d58, 0x547d99a3,
+    0xb9690d02, 0xeaf49e76, 0xbf95590c, 0xaa8ea94a, 0x9bbc9e1e, 0x4c05a6fe, 0x1b406aef, 0xe7a16bb5,
+    0xa7073298, 0x433568a6, 0x5ec78106, 0xc72afac9, 0xc5aac47f, 0x8e1580e3, 0x6c95749d, 0x82ff83a7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000001180591620717411303424 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e6, 0x8dc57f23,
+    0x00000000,
+    0xc01ee32e, 0x802f5af6, 0x309f29e0, 0x18fb5dec, 0xcb1d64ae, 0xc094d12b, 0x1349e34b, 0xb7dbcccd,
+    0x20ccb087, 0x027eb60c, 0x5e0ea7c0, 0x30d5c8eb, 0x7c2e4952, 0x8810036e, 0xed68ebee, 0x3487aa7b,
+    0x5ebaa306, 0x4c13979d, 0xebd85b45, 0xcb7aeb04, 0x8ffa0943, 0x792177e0, 0x91367c80, 0xf7c03a0f,
+    0x2c392c38, 0xca7ab9ea, 0x077c002e, 0xc1c312cb, 0x0c961d0f, 0x61785d1b, 0x25139da5, 0x5a781dd1,
+    0xf79381db, 0xcd015704, 0xbdca6a29, 0x431d51b9, 0x82cf2187, 0xead71f4c, 0xa410a2b2, 0xbf9303ca,
+    0x3d834d3c, 0x03f17b39, 0x8cd11d25, 0x4e19cbd9, 0xddc389a2, 0xaf85e18e, 0xdd0df8d0, 0x8c45ac35,
+    0x8d94104b, 0x5bbaf006, 0xfe1e517c, 0x71e3e7be, 0xce05e4f1, 0x61f4af1a, 0x3f6bea02, 0xa5e277b1,
+    0xc683b132, 0xd5cdc880, 0x68e24041, 0xa21971b6, 0xb8e50306, 0x8c01b5c4, 0xa3288dd1, 0x53e33dc2,
+    0xa26a8fd1, 0xd8a9afe5, 0x52e7d599, 0x8f520bb3, 0xe096a2f5, 0x8cba2cb4, 0x172d6be6, 0xf2f01ae5,
+    0xd1a952b3, 0x7514c91d, 0xca15bccc, 0x27f695c7, 0xa0ad55a6, 0x74ff6f79, 0x64ffba0d, 0x14c739e0,
+    0xd5ee166b, 0xaf139a87, 0x3d1a622a, 0x82c06711, 0x09aaba1a, 0x68477fa2, 0x5233e315, 0xbeb79d5f,
+    0x0b261767, 0x17ae16d9, 0x93fe13ba, 0x9cd72309, 0x487d961d, 0x9a54b9ad, 0x3846864c, 0x418d0b70,
+    0xfc3c8170, 0xe0d90765, 0x64607312, 0xd5f10701, 0x8cf25fcb, 0x19c4ff90, 0x83fac158, 0x8315d137,
+    0x04d297d6, 0x523f3f7f, 0xc95bf510, 0x0141f65c, 0x7c2b62c7, 0xe70bd998, 0xd90dd943, 0xb5ae011d,
+    0xc9c93c5c, 0x7616bee8, 0xdbddb399, 0x15422ccc, 0x2765a88d, 0x1c66bd6d, 0xc92459c0, 0x4bdb583e,
+    0x6c324ad6, 0x5cb8e94c, 0x67496e30, 0x84c48a28, 0x267a0809, 0x7eb94761, 0xb37c13f2, 0x5621b9db,
+    0xe3e57dd0, 0x7f62717b, 0x78b78d0c, 0xe894b860, 0xa702f885, 0x4398f0dd, 0x2ade4b7e, 0x19754ff6,
+    0x52a06c49, 0xbe0c1c9a, 0x7cf8dd5c, 0x048486dd, 0x9b4397ac, 0x5b8e4c2d, 0xbb7d1fff, 0x4aa62f36,
+    0x352f83bb, 0x27255e7e, 0x8b1444f5, 0x04bb1600, 0xc353e969, 0x5fd4d07c, 0x40e56680, 0xe808b716,
+    0xdcd9838d, 0xc4f1e77d, 0x2569b15b, 0x68bb774a, 0x5f3f5153, 0x0a062134, 0x04523a83, 0x45bafe1c,
+    0x5521c155, 0xac11e8b6, 0x9c0a8e2c, 0x41b3389e, 0x7c2ca846, 0x2043ba00, 0x8d85d8ec, 0x83cc68e7,
+    0x8f1cb1e5, 0xcf81ce99, 0x9f363305, 0x00a80fa3, 0x6563e8e5, 0x431d961d, 0xb6580974, 0x89222a93,
+    0x56a09bac, 0xf49f545b, 0x011a33dd, 0xdca4981c, 0x0e6b5a73, 0x75a923bc, 0x10d18d79, 0x3eeca6d2,
+    0xfd1f6b54, 0xb22feaa7, 0xee2248f6, 0xbd397b33, 0x44e643b9, 0x6da2d4af, 0xb0aac1b1, 0x35a232f5,
+    0x53470330, 0x60124a35, 0x9fa44410, 0x53e37fd8, 0xe8a7a0cb, 0xf390f429, 0xe9fe7603, 0xc6b26f9c,
+    0x1f09d62d, 0xf6c982d4, 0xdffc3892, 0x604106f4, 0x9ae0e94a, 0x12542351, 0x8d55b7c6, 0xb66bba06,
+    0x532fdcdc, 0xb43e1d47, 0x2e0b1d98, 0xc2986e52, 0x76f3f3f4, 0x44f36f6e, 0x477b903d, 0x6a3ceb60,
+    0xece89f99, 0x1cd94f0c, 0x7be422d8, 0xf6d5391d, 0xbd9a99dd, 0x617aeac3, 0xd00bb049, 0xdaa6cb87,
+    0xa3b3c7a5, 0x21e6bf8a, 0x7579f7bd, 0xc8cba8fa, 0x2d35c380, 0xf46fdb6e, 0xda048125, 0x1c0e6ee0,
+    0x5a995c88, 0xa33e0ec5, 0x32f8844e, 0x361c67e6, 0x11561b3c, 0x918d915e, 0xa392e804, 0x7f07ff60,
+    0xff8b99ce, 0xf5fb2e3d, 0x14354af5, 0x5f5f61a7, 0x7021487c, 0x4ea72f88, 0xf1b8b25e, 0x74fdca03,
+    0x13ffc44c, 0x3ccd039c, 0x5ad2d6e7, 0xb1d24dc9, 0x2e37666a, 0x8978d58a, 0x7f975103, 0xc4155fe9,
+    0x56992e13, 0xfe99ab6e, 0x9d39aeac, 0x9cdbf1ff, 0x22c11b03, 0x9257c596, 0xf41f438e, 0x851c7c59,
+    0x265d6b58, 0xc113dc2e, 0xffd59be1, 0xaa48da25, 0x3d62d688, 0xf8ab33d1, 0xb934dd77, 0x6e8353ee,
+    0x9bfcc63a, 0x5d1dcd88, 0xf8d4cf05, 0xc35d737d, 0xea5f29fa, 0x91d0a2cb, 0xbe9a64b9, 0x5fa99f1e,
+    0x7cd603a2, 0x8795f70c, 0xdbc265d8, 0x9da9ba4d, 0x3c68b5c6, 0x6a978611, 0x6cd40e71, 0x366e8d81,
+    0x16655872, 0x78731c36, 0xfeab8f77, 0x1a665d0f, 0xdb21a04a, 0xd288f1e4, 0x52ec7efc, 0x799396ad,
+    0x4af90f2b, 0x0b10314e, 0x47044ef0, 0x6095de8e, 0x6d222962, 0xb191b066, 0x0ec6b9a7, 0xd7868e40,
+    0x07181587, 0xa75fd83f, 0x42002408, 0xd9c7e8e5, 0x11b46751, 0xa4316a98, 0x20a86751, 0x4238921f,
+    0xf3166144, 0x3a13ebd3, 0x7a0da9af, 0xe37f4d97, 0xa7e0b954, 0x7a3d3de6, 0x307873c9, 0x0df680c4,
+    0x2d6a02dd, 0xdb917e7a, 0xfe2473bc, 0x4c646134, 0xb4858e1d, 0xc3c63081, 0x5b813814, 0x3ae76f84,
+    0x6bdf67b6, 0xff54765d, 0xa8339634, 0x4488c80e, 0x4297b7c9, 0x70215c5a, 0x9285e307, 0x1905f279,
+    0x3bbe6d60, 0xdb4ec7b8, 0x3fe46242, 0x422d9cf8, 0x32553a83, 0x7c6b67e4, 0xcc056767, 0x5a8f9791,
+    0x3feac7d6, 0x4be966b5, 0x1bc617dd, 0xbe859e07, 0x175dcef0, 0x4be3d4b2, 0x84a3ddc0, 0xda9200a0,
+    0x4b2175c1, 0x299324d1, 0xa3810b43, 0xa39e2f5a, 0x74ea0841, 0x07bd5c31, 0xa2858b82, 0x70c0a417,
+    0xf1b2107d, 0x6748370e, 0x40b327ff, 0xd1b5a0e9, 0xff206b0c, 0xddd4a61f, 0xabedab57, 0x8c9fe7e0,
+    0x7edaef63, 0x4b9d354a, 0xfdff28fe, 0x876fb43f, 0xe2681a47, 0x3094b5f4, 0x8eb15d93, 0x57f34853,
+    0x7080421b, 0x9c279d8f, 0x7e4abd42, 0x27f70e9c, 0x172fcd1f, 0xb097cdc2, 0x390443a1, 0x4d7d9703,
+    0x97ca0509, 0xe3268731, 0x245f13fa, 0x6b10ea64, 0x2f21a541, 0xfb985a12, 0xd8ab9247, 0xadc66fb0,
+    0xea74df26, 0xe21c39af, 0x25f65c3f, 0x5092b09f, 0x0668f889, 0xf1669a96, 0x2ed94077, 0x01a038f1,
+    0xe4e7a1b9, 0x0065768c, 0x553ba0b7, 0xf3a57c6e, 0x7baaa497, 0x72364c70, 0x09ad3b1b, 0xec176b43,
+    0x47827d01, 0xbdd313d7, 0x6b8b603c, 0x075751e5, 0x5ebc6f78, 0x976eacaf, 0xacac74e7, 0xfb28f60d,
+    0xb32e9261, 0x75c23858, 0x4117393e, 0x3c33fab7, 0xeea9cc1e, 0x8a80b875, 0x117624ca, 0x9420983c,
+    0x190e255d, 0xc19f48ec, 0x64e69ad6, 0x95054143, 0x145d5c05, 0x18da4ee2, 0xf1376527, 0xaf5772e1,
+    0x4fa00764, 0x5c014f34, 0x17f1841d, 0xc6d29c9e, 0x1c894108, 0x02670ef0, 0x2f7e856b, 0x4352433e,
+    0x659cc5b0, 0xeb04730a, 0x32ac8f46, 0x70abcfca, 0x702c64c5, 0xab5e0504, 0x344da80d, 0x07a1d0cd,
+    0x5fcf81d8, 0x9a6635fd, 0xf0f726a7, 0x36a895a9, 0x1371d887, 0x965472d8, 0x7f029817, 0xbc48750d,
+    0x9fe078fa, 0x751bf56a, 0xbf11e7dc, 0x9e33e60b, 0xa832856d, 0x4a37665b, 0x461fdc38, 0x019c1b5e,
+    0xeaf86757, 0x1b8fcd11, 0xead1bd4b, 0x27ab0196, 0xe6aa2b5a, 0x06d60c23, 0x26a74544, 0x71c8791a,
+    0x2b050c85, 0x5c9a6a20, 0xf8cc1fd9, 0xdacae726, 0xd88a6dcc, 0xfa095f22, 0xdb0a0ad7, 0x6f59419c,
+    0x176b406b, 0x0a127d6e, 0xaff70bd1, 0xd0af9b2e, 0x044bef93, 0xf5497edf, 0x263cb64f, 0x9520e9e8,
+    0x71a5988e, 0xed66ab2f, 0x52473ee8, 0x6b7d7bc7, 0xcbec75e2, 0x30584ce4, 0x4b9a53fd, 0x2837c38d,
+    0x044165df, 0x3709989d, 0x0f6b9243, 0x953fa51f, 0x2a17f84b, 0xd411eb4f, 0xaa856f8a, 0xa73c4f3b,
+    0xe4ed0d9d, 0x3b6e5785, 0xd148e875, 0x7020ab7b, 0xab8a10cc, 0x2ca1a3fb, 0x82bdca6b, 0xe3687f7d,
+    0x8ccd7f8c, 0x047ab919, 0xaf991157, 0x75a4b3c2, 0x33c421bd, 0x1a0767dc, 0x3de2675b, 0x4e6dfc79,
+    0x8cdcded6, 0xa2f3b57d, 0xd47006b3, 0x833d6e41, 0x1e08e979, 0xc98f233c, 0x9826274b, 0x6b10b3a6,
+    0xbcbbca8c, 0x4c955dab, 0x63d0e2ab, 0xb0f1eb79, 0x22bc7b98, 0xd2b8c7d4, 0xcfb7d61b, 0x43c1b2d9,
+    0x6ce02e01, 0x9168df26, 0x08637fc2, 0xbb8b1191, 0x6e953785, 0x06bbf8ad, 0xac3588c0, 0xeb91b3ea,
+    0xded5749f, 0xa30e309d, 0xd1142b07, 0x84d34bf0, 0x02d29db2, 0xd6afd136, 0x6c0ccfac, 0x8b6346ba,
+    0x394340b1, 0x57ea1051, 0x948fee37, 0x7b780c82, 0x0af2f037, 0x9d78c2b3, 0x2b1803ed, 0x70f789ea,
+    0xe51beb1d, 0x0d2528a2, 0x604ddea9, 0xb07a3e54, 0x8b452cba, 0xcd396aaa, 0xca8161ce, 0x1d6e3625,
+    0xb1ff3f85, 0x71ddeb59, 0x673bb699, 0x06e956fa, 0x8e0eef6e, 0x9237687d, 0x2e30c584, 0x2f650c54,
+    0xfa184192, 0x345fcdd5, 0x6e952175, 0xad3efc81, 0xd8570eb1, 0x0b23aa0d, 0xfb3938d2, 0x87a7d177,
+    0xb9cc386e, 0x55817b9e, 0xe43b156d, 0xdcf6e1bf, 0x87087c1f, 0x2413de8b, 0x2441cf05, 0xb81ac5ea,
+    0x72f1f263, 0xc313a892, 0xcd63a007, 0xa822d314, 0xcec89982, 0x39408664, 0xcd7c6628, 0x5f521994,
+    0x9e3685fc, 0x81b4cc35, 0xb9343a4a, 0x4dea4f07, 0xa7ee5f87, 0xffc08b40, 0xe2eb4de7, 0x6e7a186b,
+    0xe0168e26, 0x6ccce94c, 0xb4d2c524, 0xedb05262, 0xdf2e6006, 0xddcaef94, 0xf957917b, 0x05714578,
+    0x3775cc82, 0x622e05fd, 0x530b575b, 0x65553f9b, 0x8341a3e8, 0xd887ee43, 0x0bc17514, 0xbd2d27b8,
+    0xa8b5ef18, 0x52416700, 0xb4f6907f, 0x0726d477, 0xfb119f95, 0x3b364ee9, 0x17efbdc5, 0xace4066f,
+    0x5f4a3466, 0x95e08871, 0x8e95ece3, 0x2cd74dcf, 0x694e514e, 0x71b4cd80, 0xe5aa31e0, 0x8ecc0428,
+    0x2cd99600, 0xb663419e, 0xbce0067b, 0xcdf2cc5e, 0xe92295c9, 0xd3a8d945, 0x16320804, 0x5e5fa930,
+    0x2bfe27af, 0x704e60dc, 0xfb0167c7, 0x4634c6ac, 0x4304dc42, 0x5ca65cab, 0x4f0fdb58, 0x2667fc23,
+    0x31992d58, 0xf5979d20, 0x0f86e822, 0x26a833cc, 0x3fb27097, 0x78c77e0c, 0xff87bd2e, 0xbcea15e0,
+    0x8d5eec6c, 0xddc7fefc, 0x613f244f, 0xd04c44f2, 0xf99e7c9f, 0x1f82870b, 0xa9ebb3c9, 0x4faafb74,
+    0x591794ed, 0xae95f6af, 0x140dee47, 0x0573391b, 0xf45258b8, 0x2aa59eb1, 0x2f1913b0, 0xe9b3bd92,
+    0x73e60675, 0x95ae3272, 0x99328782, 0x5306e941, 0x0b8496f1, 0x84c4f100, 0x90f56ab9, 0xaf4415b0,
+    0x99514c99, 0x7579d3e4, 0x9eea88f1, 0x1b86d3a6, 0x047e0d00, 0x76b686d5, 0x4d646c6d, 0xcea6a89b,
+    0xdc6b2047, 0x9891f1e8, 0x56c1838e, 0x685c0f80, 0x366b0617, 0x5ed659c5, 0x65fbcbd5, 0x670cc7da,
+    0x33d1e33d, 0xbfc2c80c, 0x2a81e92c, 0x301958d1, 0x8744412d, 0xb23471b6, 0xf77a748a, 0x9fcc0372,
+    0x2d77e000, 0xdf5a37c2, 0xc46664aa, 0x6c9ea3a0, 0xe66dcd05, 0x53ddbdcc, 0x042776ca, 0x45193dea,
+    0xa60219f1, 0x622ddd44, 0x3afdcc12, 0xb91f6c9d, 0x54b1a1b6, 0x395e4cfb, 0xdd000b36, 0x7f5b1aa3,
+    0x47a42b76, 0xc1ac4f3f, 0x8063a742, 0xe55aac26, 0x0ecea915, 0xaf0e3088, 0xa71f3df4, 0xdcc7049c,
+    0x1ff52690, 0x7af552d9, 0x84dfd01f, 0xa7976bcf, 0x54ddb476, 0x85c35217, 0x9f5971e5, 0x890e0128,
+    0xe4469dbc, 0xa8a09077, 0xfcb596e2, 0x99cfa52f, 0x8196f282, 0x2ad71f2f, 0x30141fb0, 0xbb5fc22c,
+    0x447c2da6, 0x79129bcb, 0x08259a53, 0x96bf2808, 0xbf930ca2, 0xf53d98e1, 0x0959a9dc, 0x9b64b048,
+    0x43b4eb12, 0xa943febd, 0x6db8e488, 0x5838f8db, 0xbab50756, 0xff23aaff, 0xeda12d24, 0x4d703145,
+    0xa6975f0d, 0xbb14f1a1, 0x24f5bccd, 0xc53674a8, 0x81fa602f, 0x2a6a48e1, 0x4f0980c2, 0x962f224d,
+    0x6a50924c, 0x57e547ed, 0x38067963, 0x7069bc08, 0xc108628d, 0x02983630, 0x9247537f, 0xdd003aea,
+    0x784bbd15, 0x2f9201fd, 0x0561c432, 0x82922f31, 0x4b8a790a, 0xfe997610, 0xac0c4ebd, 0x8cbf42ea,
+    0x5dcc5cdd, 0x51da8d9e, 0x358e99f8, 0xe7b0d607, 0x1a156f40, 0xb188b0f4, 0x70d3972b, 0xca989748,
+    0x4a7f292a, 0x1b6f6adf, 0xf01e76d3, 0xf077437c, 0xec118b0a, 0xd9e22823, 0xeb2262d6, 0x4ceff7ff,
+    0xdeb813aa, 0xb368c649, 0x2193ff59, 0xe3a50d72, 0x42168abe, 0x1523decb, 0x1e41d360, 0xb27f032d,
+    0x43de19e6, 0xf9d7a942, 0xf01db018, 0xb0ec9f58, 0xbedcd517, 0x24d261bf, 0xe2bc840b, 0x2f2c6a26,
+    0xc3282ed6, 0x8ebc9d9d, 0x7a085f14, 0x9be03481, 0x4c00afe0, 0x2798616f, 0x59dec56a, 0xfef3d244,
+    0x23c0a63d, 0xb08e175c, 0x87df26d1, 0x862e5555, 0x7be7a78f, 0x0a7a4494, 0x29911b64, 0x21c790e7,
+    0xfda718b7, 0x9848e2d5, 0xd96bb272, 0x071f1d22, 0xea2dc14b, 0xd74a7853, 0x0d6bafa2, 0xfa2a3ceb,
+    0xe3a272cc, 0x7776f940, 0x0ba71cf6, 0x3dc7563e, 0x94bfa9bc, 0x5ac50e8a, 0x23848921, 0xe4dcd9a0,
+    0xbb81d7de, 0x78abd2ec, 0x79c8bbba, 0x1eebe3e2, 0xae29ecc2, 0x50ebbfce, 0x84a705c0, 0xd117aec4,
+    0x457c93a1, 0xcf5853c9, 0x41b41487, 0xa5179f81, 0x9ef2bf28, 0x7b1c5666, 0xd181ea2f, 0x0bad4d49,
+    0x5e5b6e25, 0x85e8787c, 0x6ded292a, 0xa7408bd1, 0x53ddd186, 0xb9e47e95, 0x2c44e8bc, 0x90abe0a0,
+    0xdb4bc3ac, 0x4bd53b87, 0xc9fb5ba9, 0x85efadf2, 0x9281acbd, 0xba583a88, 0x3cd2f33c, 0xee3e03ed,
+    0x8b43ecad, 0xaca9aeee, 0x1b07db2b, 0x9f0be5ed, 0x019c599d, 0x472ad5f9, 0x18876452, 0xc042c1a4,
+    0x497da41f, 0x618ad08a, 0xd72a7c36, 0xbc2dc004, 0xb20fdf5d, 0xf376edaf, 0x268c4dd7, 0x3e97cd8a,
+    0xf6d17fe6, 0xaa527e85, 0x57c53f41, 0x72e3abca, 0x2a319ee1, 0xdefb0c2f, 0xa71891cc, 0x55a03160,
+    0x555f9c68, 0x29719d4b, 0x571ff537, 0x14c6b0ce, 0xd4c997b9, 0x6617224d, 0x601abbac, 0x95c0dd7b,
+    0x2c89b263, 0xbe14f267, 0xf51f9746, 0x000610b1, 0x96004987, 0x4f154bd7, 0x222d4018, 0x22206b1c,
+    0xfab03e9b, 0xd52578c6, 0xcf13283b, 0x26d43abb, 0x3f8cefc9, 0x8764ba62, 0x0d6d3603, 0xba6e3235,
+    0xd86445e4, 0xd93d6a1b, 0xfa4329b2, 0xb3a655cf, 0x72f3c5d6, 0xf3a90498, 0x3ccec4aa, 0xdae031c2,
+    0x08938b8c, 0xb1e535b4, 0x97d88df9, 0x5ab29fb0, 0x0e169771, 0xc600b224, 0x3fd7f510, 0xdb7c20d8,
+    0x51832841, 0x18a0acee, 0x1fb45d2f, 0x508cf8d0, 0x3397ea54, 0x72e5cc79, 0x194d27b2, 0x1e921b8e,
+    0x0e4a2014, 0x0529a70b, 0x9e20f102, 0x16bd34f8, 0xfaa4a236, 0xeb7c9590, 0x227bb87c, 0xf6e774fe,
+    0xd694c97a, 0xc3a1f877, 0x58b78a4b, 0x9ad16d1c, 0xedb92a3a, 0x1262fdfc, 0x57be4134, 0x5bec1381,
+    0x498ec2af, 0xffed8630, 0xf91cb242, 0x419a9478, 0x12fc91f9, 0xea24b2da, 0xe6435f6d, 0x2887a21b,
+    0x0cebd34b, 0x62270702, 0x96d4b8b9, 0x61b6b5ac, 0xd318f090, 0xf0660490, 0x02a24a95, 0x81986bb3,
+    0x2aebd167, 0x8434102d, 0x8018771e, 0x817b236c, 0x748b06ac, 0xfedd0b56, 0x78b2b71e, 0xe4ef6c0a,
+    0x271da922, 0xcb7bb511, 0x27be69af, 0x64886fad, 0x0fb243ca, 0xcc44a6f5, 0x035efd58, 0x1729336e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000590295810358705651712 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f3, 0x46e2bf91,
+    0x00000000,
+    0x9cd10c36, 0x67f0432d, 0x05b1a594, 0x016bd2f5, 0xe4d4e6a0, 0xa5195f50, 0xaecf87bc, 0xa08b7709,
+    0x4b47c2ca, 0xdf831c93, 0xbecd8899, 0x86e1a56d, 0xd56ab889, 0xe876ab45, 0xf9599cea, 0x8d8d4a81,
+    0x20bff4e9, 0xb713f21b, 0x4b413b93, 0xfa6aa55e, 0x120c00a8, 0x4568923a, 0xb419d3f8, 0xd82bd3aa,
+    0x45e9c876, 0xf57f5811, 0x8b7a353b, 0x6ee8225f, 0x469fb9a9, 0xb3090218, 0x5247bf02, 0x48408c08,
+    0x919d8ac9, 0xd2c955c8, 0x78c96067, 0x1455f608, 0xf3ffba95, 0x55bd1c7e, 0x0c603b17, 0x3b2360c3,
+    0x5192818c, 0x171c8a83, 0xf92b3d9c, 0x168b4e70, 0xcefb37a9, 0x06078703, 0x322d6157, 0xebab9040,
+    0xfa9b062f, 0x3601ed1a, 0x5cf59003, 0x46d71568, 0x4c3f4d7c, 0xc11d1a38, 0x2896b81b, 0x6b1bb7a7,
+    0x8554f34c, 0x94991868, 0xcaf9406e, 0xa2c33300, 0x44b392dd, 0xb9eeed2b, 0x5f47f6ba, 0x13db2e1e,
+    0x401a34b6, 0xfe40af81, 0xeeed039f, 0x28a733c0, 0x359c4b1e, 0xaaa468f0, 0x90dbf1c7, 0xd1e1ef47,
+    0x6b33dd19, 0xb45347e2, 0xe5a17402, 0xe801df28, 0xd0bbf3ce, 0xdb54accf, 0x4f282b8c, 0xd45ed831,
+    0xc0b5d941, 0x1d80f577, 0xc6829af1, 0xc5ccc759, 0x5fc290ad, 0x4f03fc57, 0x14fa04ae, 0x5eab9647,
+    0x4f69e444, 0xcad3ee82, 0x65121691, 0xc50d8edd, 0xe7886889, 0x834904ac, 0xe51d6b85, 0xb163be3d,
+    0xd2ebb750, 0xa932082e, 0x6a4d2293, 0x98e7aad5, 0x158ee098, 0xe186225f, 0xe926cf5f, 0x7326051c,
+    0x50ff2f01, 0x258f85bd, 0x17bfec28, 0xf5ba264e, 0x24076e3b, 0xb614f68d, 0x4bea74c4, 0xea99f920,
+    0xaad06f87, 0xee9f4ce8, 0xb9290a27, 0x89b6e1b3, 0xc8a482a9, 0x8c7d64e9, 0xa5c4d8ad, 0xe573f3bf,
+    0x7b878a2c, 0xc5d88692, 0x1260f639, 0x74107972, 0xfd5ac6e8, 0x58de6eee, 0x54d50f8d, 0x016a448b,
+    0x5cbce9b6, 0xe85ee567, 0x67430899, 0x0d8c553d, 0x0680acf8, 0xbc9b8854, 0xc4c1c94c, 0x2927fe31,
+    0x46d92327, 0x58a6b4c8, 0xc7378ed6, 0xc461446e, 0x561a582a, 0x8bcae183, 0x26f5eed8, 0xb829c293,
+    0x661e39dd, 0x8124ea94, 0x76115e18, 0x1a718443, 0x9da4f844, 0x60ac148f, 0xc9863fb3, 0x1eb6b05b,
+    0xcec12da9, 0x4d007f7b, 0x0ad7f710, 0x4f405666, 0x94443b71, 0x3dd547af, 0x8c5385ad, 0x8b692bc1,
+    0xb2ec0ed2, 0x6cee5163, 0xd2dfa1de, 0x6670b089, 0x48d8bfdc, 0x40996d31, 0xe9d6a475, 0x7d3c9178,
+    0x306d50aa, 0x1a2bc4ce, 0xcdc1abc6, 0x3fd5886f, 0xa3ac9270, 0xdf48ece3, 0xcc57511b, 0xeec05890,
+    0x88a0cba9, 0x04d5e1bf, 0x94120114, 0xc78d6267, 0x2af69490, 0x80845d08, 0xf58442ca, 0x5cbf0cc9,
+    0x7c6c5f71, 0xd6953dd4, 0x75769abc, 0xd2cfa930, 0xdc5ddf87, 0x3f80c6f8, 0xa0bc3f3a, 0xf76c2007,
+    0x7828f371, 0x119cc229, 0xe8d4af01, 0x7673b822, 0x7deafb6c, 0xb9ea522a, 0xe1fab7e1, 0xc29bf690,
+    0x5a4cc9db, 0xde26174f, 0x81aec6c4, 0xafc8aa91, 0x1b08f7a5, 0x987a8765, 0xb67c1a86, 0x68d8d974,
+    0x465a512c, 0x76243bc6, 0xae34ca14, 0xcb460e2c, 0x3d77cbed, 0xeb1debbd, 0xa59ff7ec, 0x8adfca39,
+    0xf87aa34d, 0x1a6376ef, 0x7a28d938, 0xd1f7ff6c, 0xad33e1ed, 0x8fe2678a, 0x1aba1f2b, 0x29e479ca,
+    0x6b7deb15, 0x5f345e33, 0xe47fa991, 0x2c8e5255, 0x0e18ac4a, 0x1e05408f, 0x6e7e2a12, 0x16a90ac1,
+    0x232e6964, 0xd8e5785e, 0x227ae4de, 0x7e78dd43, 0xca7a84ae, 0x02b30a29, 0xb7177919, 0xef567c02,
+    0xcc3f5806, 0xdefdb797, 0x8cdc4f00, 0x9ac5abbc, 0x2ef5fb75, 0x81975e07, 0x60f28c0d, 0x0c01b8d9,
+    0x529aa27a, 0x349da1b1, 0x7701a5dc, 0x875f32da, 0x112b3a96, 0xfed8f9ce, 0x1429e070, 0x1b400d2b,
+    0x0d8a4cd7, 0x475af791, 0x11bb664e, 0x0fc35a79, 0x6a79279e, 0x77776c6f, 0xe48c4e43, 0x7d7a73a2,
+    0xa994808d, 0x20d4a722, 0x875629df, 0x37671fe1, 0x767ecef0, 0x9cb210cf, 0xdf909576, 0x4ccdf0c6,
+    0x590f6c68, 0x9fd5d620, 0xe1880abe, 0x36fd9592, 0x4d31d13b, 0x80e11aaa, 0x6f3a2456, 0x95ce17df,
+    0x354c53ac, 0x4adb4595, 0x26974c3f, 0x5fc14cd9, 0xde48e980, 0xc3c6c257, 0x9961b207, 0x1b4db2c5,
+    0xae7fffdb, 0xa7a463d8, 0x0d6efe5d, 0x1f860c83, 0x997999a4, 0xd8f093cd, 0x9659436c, 0x3533388f,
+    0x428573dd, 0x8afa7c82, 0x3924ee96, 0x12c52e01, 0xb27967d8, 0xc322ff90, 0x0f9acac4, 0xb534567a,
+    0xace4c88e, 0x80db0159, 0xf09dc065, 0x396fc8c8, 0xc1e798d6, 0x62bcac52, 0xbb39992b, 0xb954b7ce,
+    0x8336f5b3, 0xeb010ef4, 0x70e3fa0d, 0x54c470d2, 0x32212443, 0x6e5f03ae, 0xe5606606, 0x9ad8a2a2,
+    0x0f2eccff, 0xabf70c62, 0xc25043ba, 0xffd1bf0d, 0xb22470c6, 0x8bb8aa35, 0x7482739d, 0x9e03da8a,
+    0xb0cce790, 0xee9c2352, 0x81697a18, 0xe42fd7b9, 0x37bb452b, 0x58ce7dc0, 0x2792c5da, 0xde9f602e,
+    0x1a474dd7, 0xb00db8a7, 0x9e8e9ce9, 0xf0bc02fc, 0xf99e9fd5, 0xbfc53c11, 0xe64a30c2, 0x5a1a88f5,
+    0x77433793, 0x55727180, 0xcda65107, 0x601ffddd, 0x142c2922, 0x8a53c7c6, 0x5b80ee03, 0xc0ce5ea9,
+    0x0a9c802f, 0x8d0eec95, 0x43d07cdc, 0x8d0cb3ac, 0x78fc8c4e, 0x9b59f0f7, 0xf266bd63, 0x45f2413e,
+    0x0ebbda1b, 0x5d2ecd54, 0x0f0c71b6, 0x0e64776c, 0x0faf2465, 0x4d33863b, 0x23ce128e, 0xe2147b41,
+    0x19accc3e, 0xf1d099d3, 0x2046b0dd, 0xb92703ef, 0xa61339ee, 0x44791482, 0x9bb0948f, 0x2e48dea3,
+    0x564569a3, 0x1d071c4a, 0x71850477, 0x33315a92, 0xf7adea45, 0x3dee4274, 0xdbcfbe6e, 0xb543849e,
+    0x0369c30d, 0xa1d8ae31, 0x6121289e, 0x1dde776b, 0xd00050d5, 0x1c7b47db, 0xa4fa7232, 0x0ed70230,
+    0x61fe3c60, 0x2b2d9383, 0xf9b4f017, 0x9682b0e9, 0xb898167f, 0x382d5053, 0x3bacfe95, 0x776ca804,
+    0x3b639a0a, 0xd9291e65, 0xfe99be97, 0x001afe17, 0x4f66a080, 0x24ef1bf8, 0x9065fc78, 0xb9bda0dc,
+    0x1ffda061, 0xa0d97c31, 0xb838eff4, 0xde95316c, 0xbdb82e3c, 0x04607acb, 0x4d1c2a89, 0x07b9a742,
+    0xe54ea09e, 0x242a003e, 0x204a9e85, 0x521d8fb4, 0xb8eb8839, 0x2e28eab1, 0xd5460b4d, 0x2c8fc57b,
+    0x494ee5a9, 0x8a32143b, 0xf8688702, 0x7adcd7b8, 0x377f2697, 0xdc5754d4, 0xa8b51de2, 0xb0039882,
+    0xa2288cdf, 0x83567e96, 0x60c19f92, 0x1671fd09, 0x51d111b8, 0xd28874d9, 0x4081486b, 0x5e2ddc70,
+    0x3f814dbc, 0xe3e8bf8f, 0x3fffe96a, 0x8bde186c, 0xd20b3298, 0x63c30078, 0xffb5ab1b, 0x2f6806b8,
+    0x4f1d2b7a, 0xc6dc1532, 0xa8236c7f, 0x0519959f, 0x08d69618, 0x896bc1a4, 0xed14aae9, 0xfb3642c5,
+    0x29989f6c, 0x4eeca932, 0x90acaa48, 0x268894cf, 0xfbda9421, 0x16730d5a, 0xabfc9352, 0x69aec9db,
+    0x1cda2afa, 0xe6a3e119, 0x86e9e5ad, 0x18bf0c95, 0xff3cb57f, 0x7399cade, 0xd75872e8, 0xe3369e0f,
+    0x41955fe1, 0x81e39d02, 0x07cd8980, 0x09ad3590, 0xf3644abc, 0x43c9d71c, 0x0130474f, 0x46ead117,
+    0x90bd1c37, 0xa0fd7126, 0x11be4b4e, 0x477c09bd, 0xa4b46d1f, 0xa0339d3f, 0x409bd1de, 0x02390487,
+    0xf17324a8, 0xbb4d429e, 0x15816c31, 0x0d01165e, 0xd0103f2d, 0x68ecbbfe, 0x9b4d2e45, 0xd0f07e92,
+    0xe51aef83, 0x812b822e, 0x8ea6d73e, 0x19edc1c6, 0x3a952e07, 0x5713b85c, 0xe4dd640a, 0x8aad2953,
+    0x04de1755, 0xdf8fbd88, 0x0b594db8, 0x31064d7b, 0xb9ea84f6, 0xf0625775, 0xb351f597, 0xfbb13dad,
+    0xc9ed2da5, 0xa7878053, 0x5e915355, 0x65873a84, 0x50be552e, 0xad9ab7da, 0xcb886331, 0xa7e91782,
+    0x7c0639a2, 0xe69c6556, 0xe457e970, 0x83cd000a, 0xc1df6ec0, 0x1a72ee8b, 0x039690a8, 0x88172c23,
+    0x71571c30, 0x4f48dca1, 0xdab34055, 0xadf23f8a, 0x6db54b3c, 0xc7eceb0d, 0xac887b68, 0x56245c71,
+    0x96159566, 0x506461c7, 0x0e1683a1, 0xee3aa8ae, 0x4cd4d361, 0x21d0c5c9, 0xf084345d, 0xb852ea0e,
+    0x730a28e7, 0xa6e3db59, 0x48cab07b, 0x2aea07e6, 0x2adf8370, 0x8660c974, 0xd7dbb176, 0xab30537b,
+    0x3f4873df, 0x7a93fabb, 0x0a8471bc, 0x191657e2, 0xf82d2929, 0x47bc75a5, 0xc05796d8, 0xda9cbc53,
+    0x879e6cef, 0xbe7979a3, 0xdf5828b0, 0x4fde650c, 0x076733b4, 0x2c2ec388, 0x0c16235e, 0x10137321,
+    0xb1c09be7, 0x47e087aa, 0xdff03b0a, 0x87b8d36a, 0x89f8c7da, 0xa9208b89, 0x0e1c14e3, 0xcce0f24f,
+    0x4103364c, 0x560a43fc, 0x4fc07c8e, 0x841ab330, 0x7f6da2a9, 0x3bb9ba7a, 0xf4d26aeb, 0x45798c8e,
+    0xb1a377b6, 0x6c7f102a, 0x2fb7618e, 0xff11f129, 0x9a8f9197, 0x233babe8, 0x0573f356, 0x6bc89b5e,
+    0x96a54ad6, 0x0cdadbf6, 0x653b83a8, 0x1e009f2c, 0x31ed94e3, 0x8b94f293, 0x6e5b8c4c, 0xd990cc32,
+    0x0612bb7f, 0xa8eb7f29, 0x4e7c1e5e, 0x8702b3e5, 0xd65444d2, 0x7510aace, 0x4b901f97, 0xaa83b8c1,
+    0xb7c33b90, 0x934e41ed, 0xfa4a283b, 0xec517ece, 0x786ab182, 0x9d77f660, 0x05271424, 0xea37186e,
+    0xc3615aed, 0x4b390785, 0xd42d65e2, 0xeb146f42, 0x505241f9, 0xc5dbb187, 0xa03f22c7, 0x720a551a,
+    0xcdfb1c4f, 0x25024fc5, 0x01c1871f, 0xa502f7ce, 0x5a3f676a, 0xf92b5fb4, 0x070aec62, 0xd28a9ecc,
+    0xc8431166, 0x93747c22, 0x194abf00, 0x4c767d3c, 0xcc35e907, 0xbf6ed38a, 0xccf72332, 0xd16a124a,
+    0xd9ff5ab5, 0x661e357e, 0x677b904f, 0xf9ac35d1, 0x3584dc88, 0xcf9f29e2, 0x6c859a9a, 0xf87f1a63,
+    0xea176e3d, 0x72266544, 0xaf22585f, 0x2c9dfd4b, 0xf21967d9, 0xdea48ca5, 0x5746dc7e, 0x132a55ab,
+    0x26303baa, 0x0f0450a1, 0x98d919d0, 0x56d7b659, 0x944b4226, 0x567df1af, 0x2eb61d8c, 0x7ba53270,
+    0x303a3494, 0x7ff57836, 0xcfdfb7a4, 0x2201aca1, 0x7056cb82, 0x98067004, 0xd128327e, 0x01fb5cf3,
+    0x549503bd, 0xc55fd305, 0xd48a7146, 0x909eb69f, 0x2d8e1661, 0x552f2c52, 0xb78a5073, 0x1e7f7d87,
+    0xb4cfe3a2, 0x24309e4d, 0xc403e382, 0x52afd6ef, 0xbc48dc0a, 0x677a7e55, 0x48fa3bc9, 0x41753ce1,
+    0x2b9286f0, 0xf18755e8, 0x37dbf3fd, 0xd0fac67a, 0xd008a953, 0x290e1983, 0x5e8e31ce, 0x70bef0b2,
+    0x77ae7690, 0x1a43c907, 0xdab01e50, 0xb0c6aaf3, 0x7d3f4082, 0x59b306f0, 0x908e02cf, 0x21969460,
+    0x72483da9, 0xc82414b1, 0xfdaafe41, 0x413d7626, 0x3f6a8eae, 0x48f49500, 0x8fb59538, 0xa1e17eae,
+    0xc328bf57, 0x41e665c7, 0xeaa5a291, 0x0b7826a9, 0x5568818c, 0x09d33d4f, 0xb5f2d049, 0x6d5f767c,
+    0xb58c7fb1, 0x6836506d, 0xb45ea082, 0x476841e5, 0x066b1e50, 0x098402a1, 0xcd124767, 0x7c59bc81,
+    0x3230b711, 0x754a4275, 0xc69606ca, 0xf747e568, 0xcfb3cbc6, 0xd780d954, 0x6740f79d, 0xb34acb54,
+    0x0c8057d9, 0xf716688d, 0x534ee3e3, 0x4370ef21, 0x3eb6399c, 0x0b1002a9, 0x91958aaa, 0x4233f4ea,
+    0x560696de, 0xd5d52b48, 0x4a7b31cc, 0x2ec5127b, 0xcbaa8a1c, 0xf5cc7976, 0x1184d7fd, 0x77a68f75,
+    0x328d4a7a, 0xa3a81adc, 0x32c50cc4, 0x7030d00d, 0x408a7415, 0x27060e54, 0xca44dd28, 0x221d6710,
+    0x1ca53010, 0x5711cefd, 0x1507dc8e, 0x965e65df, 0xd9f5a6b9, 0x45a5a120, 0x06c22eca, 0xb538026e,
+    0xc0facb47, 0xd9ffbf2c, 0xbb5b32a2, 0x6b5b0b6a, 0x156a5dad, 0xeadde78b, 0xc6ecb450, 0xb837cb7c,
+    0x3d581b24, 0x0d3767ea, 0x782e0329, 0xd8760b90, 0xd53f683d, 0x22c64f01, 0x9d920649, 0x1797349f,
+    0xaad93268, 0xd4a12bc1, 0x67355e95, 0xec7a29e5, 0xf62926a9, 0xf8096732, 0x04b312b6, 0xbd28a34e,
+    0x5b9890b4, 0x978781b6, 0x6cc9d6cd, 0x0ba56db8, 0x699840d6, 0x205633d5, 0x4bb04efa, 0x414c1e3b,
+    0xdabbb2f9, 0x48d7cf79, 0xbf6c7f93, 0x37f4e2db, 0xc2761f69, 0xeb5bb085, 0xe538e4dd, 0x144af6ca,
+    0x2d883ce0, 0xd8506ea4, 0x728485f9, 0xdf8840bd, 0x865d4f0a, 0x46baa993, 0xe5eac186, 0x67855fa4,
+    0x0bf35c81, 0x05f3b554, 0x1054dfd8, 0xd2e5159e, 0xb291f3b5, 0xe943913d, 0x14ff7197, 0x8d0728f3,
+    0xde38a6ca, 0xa3d15f23, 0x85c3e9cb, 0xc07dca78, 0xc5cc19e9, 0xea0757e2, 0x932db5cc, 0xb0fa50f4,
+    0x8aeaa01a, 0x157e090c, 0xa345e1e2, 0xcd19c3d4, 0x312f5bdc, 0x4107347e, 0xea22d507, 0x4680a3de,
+    0x825b61c3, 0xddf39c9d, 0x3b672153, 0x2df7a3e1, 0xbaebcc2c, 0x41de1bd2, 0x8c8f97e4, 0xdc8dcc8b,
+    0xe8af2d79, 0x1a5357e1, 0x76681f44, 0x18075185, 0x9764c374, 0xa55b5b58, 0x19072c4c, 0x9c07cd50,
+    0x960abd44, 0x3f84b03b, 0x99b3e2bd, 0xe5193db2, 0x035ebb52, 0x33d5ee24, 0xcc844e8b, 0x30b6a28e,
+    0xe44ec0de, 0x9f92efb5, 0x118db39a, 0x3698c2d8, 0x20b2495d, 0x67b8c804, 0x5eb8fa45, 0x5a8fc5e7,
+    0x08a458a4, 0x9a9d83b1, 0x0a2536e4, 0x1b5de43a, 0xca877e38, 0x12a43069, 0x7e4f3a7e, 0x07c7f6d9,
+    0x598257db, 0x44c30f46, 0x920b43de, 0x3223838f, 0xb4a56d12, 0x9e1b3e6d, 0x6e3b4181, 0x9ae111d6,
+    0xd2e0d0c0, 0x62a9d1e7, 0x2f7f294a, 0x6a61c122, 0x4178f1ad, 0xeb3c0d0e, 0x8fac54e9, 0x5e398fc4,
+    0x34ae7d10, 0x7d722cd7, 0xde9a07c8, 0xac5a7d19, 0xaf138162, 0x389581d8, 0x8331c37b, 0xfb240e49,
+    0xa6339d83, 0xc2597604, 0xf1ca29c5, 0x4d9c12a1, 0x22eda704, 0x402c281c, 0x72623f54, 0x2555a730,
+    0xcd9a2866, 0xc6ebc563, 0x03a6c38f, 0xc197e2d1, 0x154bbada, 0x860a1144, 0xff8e2984, 0xe663f277,
+    0x5486309c, 0x37f989a1, 0xb41039d5, 0x5c6cd3ab, 0x4779f234, 0x1a51230b, 0x6df9baab, 0xaecd1279,
+    0x5d9a4da0, 0x706bcdc3, 0x1857059a, 0x21afec38, 0x5836c8bb, 0x2e7437fa, 0x12b7756c, 0x4870944f,
+    0x7492dda0, 0xfc4a1f47, 0xb2e01fbc, 0x48308ecc, 0x4945cc89, 0x20aa1594, 0x67059a97, 0x70489fb7,
+    0x3a4fb9f7, 0x7f3667fb, 0x2f5e4bb5, 0x2fca0ff1, 0xe3676f6b, 0xe61e4167, 0x091a5bdd, 0x8a55e434,
+    0x67d1bbbf, 0xb42a47e1, 0x05be4840, 0x05067c99, 0x5b039dbe, 0xa3521c7e, 0xc6568646, 0x44b79e66,
+    0x7f61875e, 0x088ace2c, 0x245ea95a, 0xc64c9322, 0xc6769b51, 0xca1e79ef, 0x5e6dc0e3, 0x620c971c,
+    0xe8b837cd, 0x1b8a2be6, 0xa62e5fe1, 0xfda3b1f2, 0xf1483c0e, 0x2659b9f7, 0x923d2a1e, 0x2479cf00,
+    0xc47b0454, 0x9b323db5, 0x6077ebc9, 0x308a5a93, 0xb2396fae, 0x473a28ea, 0x6134a133, 0xac13508b,
+    0x310aa47a, 0x5d5e0408, 0xcc138e16, 0xf8f8460b, 0xabf37cc8, 0x3d7cbe15, 0xa338ed7c, 0x37b93085,
+    0x0e89a73e, 0x62e29f5c, 0x4bf2a91f, 0x49176a25, 0x49de8e35, 0x7de8d70c, 0x71cf75c6, 0x4e777933,
+    0x3da4a87d, 0xd066b26e, 0x22b6478d, 0x49c7d9bc, 0xd892e595, 0x2e633eb5, 0xb631fc37, 0xb3c483db,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000295147905179352825856 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0979, 0xa3715fc8,
+    0x00000000,
+    0x8dad72ea, 0xd5535a58, 0x7fa94b5b, 0xb42811e0, 0x70359550, 0xc7c19eca, 0x2a73428b, 0x6e833c54,
+    0x91dd6411, 0x8037ad4c, 0xe939305c, 0x3317b544, 0x7301e707, 0x010a99d9, 0x68cccadf, 0xafd05267,
+    0x0df76bdf, 0x72823f64, 0xa8fa5daa, 0xb98edeb2, 0xee61056a, 0xec2bfbd6, 0xe7f0081a, 0x3dfd1719,
+    0x3377b6d4, 0xb4d3d5f2, 0xfe56769a, 0x375e438c, 0x35f3698a, 0xca1dc6b7, 0x7c8ca683, 0x6088f6ed,
+    0xd2d09a50, 0x4dca3597, 0x90a79ff7, 0x11a23d94, 0x9dd6e84b, 0xf023df74, 0xcaccabe9, 0x89872a94,
+    0x08c77677, 0x6835e94f, 0x1a051f85, 0xc7f3b4dd, 0xe20f48a1, 0xa21cf72a, 0x47590ef6, 0xd2fc6f34,
+    0x5ec6f240, 0x45cf9ec9, 0x55eda6d6, 0x22cd4f99, 0xeb3e422d, 0xe348ae0b, 0xd7aebd23, 0xc0437a2c,
+    0x0560547f, 0x643d20a6, 0x8cd3742e, 0xfd8c6c8d, 0x0b309dcd, 0x9465ed42, 0xe2c02cb8, 0x8bdc225c,
+    0xca31b456, 0xa4c6e7ee, 0x815073ff, 0xd8a66648, 0x8c87d644, 0xe40bf8ad, 0x401f499a, 0x343c23ac,
+    0xb76b2a12, 0x6051d729, 0x926032c7, 0xcfce9f14, 0x0662e068, 0x55eb7daf, 0x2fccd7c3, 0xa5c6ccf6,
+    0x4cb1eeca, 0x72b8aa86, 0x52777c9d, 0xa08c12fe, 0x1f3c7d7f, 0x270698bb, 0xb00656b0, 0xe32265eb,
+    0x918e62e6, 0x03ecde1d, 0x8223f0d4, 0x272713d5, 0x37b1d452, 0xf9527c9d, 0xf4c9d714, 0x74fa370a,
+    0x820c0d0d, 0xf5e53e46, 0xd93de9ad, 0x17ea0f7f, 0x214b0626, 0xc19f3990, 0x75922c5d, 0x02214a13,
+    0x0c8123e2, 0x1d927e20, 0x19bcbb58, 0xf157479b, 0x02c736f0, 0xbb24ddb7, 0x6cb6ccd9, 0x159cb474,
+    0xed573730, 0x0c534a2a, 0x35a8ad7f, 0xf891f1eb, 0xcf97563c, 0xf4cfb039, 0xbd4de361, 0xb91916af,
+    0x209ca2eb, 0xcfac359c, 0x9887cb95, 0x5e25b2cf, 0x3a267543, 0x60ad3d45, 0x3442a0b8, 0xe600e765,
+    0x1963c71a, 0xf6e14a63, 0x10c4fe61, 0xba76f091, 0xd6e858b4, 0x84563690, 0xd1989944, 0x1fdd0fd5,
+    0x3866229e, 0x27fc1dab, 0xdb77b0fc, 0xe9fae49d, 0xd3f3d334, 0x2ac58dc7, 0xc155fd9f, 0xb50ac846,
+    0x75e19134, 0xaf50f5ee, 0x06b77c7b, 0x8762ff4d, 0x29e0707a, 0xd3b8d11d, 0xadb8145e, 0x941be968,
+    0x2e144076, 0x39be64c8, 0x994dac67, 0x71b4fc53, 0x30f6d183, 0x14a1059a, 0x5e03212f, 0x4a6c406c,
+    0x8248631a, 0x96ca61e6, 0xe231c726, 0xd87de99e, 0x1a7c8f28, 0x01625d78, 0xce9a12ca, 0x2dc1d40e,
+    0x96b264db, 0xdd139a48, 0x1d87e2da, 0x97c92da0, 0xb58a750e, 0x8cdc2400, 0x22ddd0d1, 0x03a91aac,
+    0x4f6222e4, 0x80567ca1, 0xf7a45142, 0x2c8d25d2, 0xf74d9bca, 0x03dd2153, 0x5fc999f5, 0xae708760,
+    0x35df75a2, 0xc882b671, 0xeac7b398, 0xc16c6edb, 0x08f8ed03, 0x3e0f2b8d, 0x9492c723, 0xde04eb11,
+    0x9d0ab2ca, 0xe5d072f7, 0x535434f7, 0x29b8aa09, 0xa9e9d1d2, 0x1f5a6be4, 0x14f36abd, 0x01f31791,
+    0xbdb8dac4, 0x78511047, 0x39d2e6f1, 0x4fd1c8bd, 0xe620146f, 0xa18fe68f, 0x6f6e0af8, 0x61932c60,
+    0x495a9908, 0xf0a62bf7, 0x12afd06f, 0xee92c1e2, 0xb6e9eee2, 0x0ac5356f, 0x23362757, 0x87441b8b,
+    0x145cf8a5, 0x7722b314, 0x51c28552, 0xc81b4d69, 0xd020f508, 0xf91cb510, 0x8ccc8bd1, 0x2a533c49,
+    0x86522f4f, 0x38b1df2c, 0x28cc10c3, 0x1121d01f, 0x73e10a47, 0xbedfb88f, 0x7799dd9a, 0x09a348ea,
+    0x46aa8a40, 0xdfa11ddc, 0x1fef48c6, 0xbbde8128, 0x0723f90f, 0x9781399b, 0xbf28d937, 0x0ccf43dd,
+    0x8e2a2b1b, 0x471b97c0, 0x0c427eb4, 0xd6082aff, 0xc91afdd8, 0x1687faf7, 0xdfb566a3, 0xd3da60b7,
+    0x71d5d3b4, 0xb6288424, 0x86d3869f, 0x5f798c09, 0x2fdeabce, 0x683812d3, 0xfa7df681, 0xa41dc7ae,
+    0xe24359f1, 0x9194584e, 0x8d8ba91f, 0xe5cc2601, 0x16b49454, 0x8c384086, 0xd5693d7c, 0xa81533fa,
+    0xff010226, 0x2b84705a, 0xfad7cdc3, 0xb846892d, 0xf6628017, 0x5b1b686f, 0xc8c31332, 0x255bc934,
+    0x8c7f3bc5, 0x1c5041cc, 0xb5df3f7c, 0x72f3739b, 0xcb05140f, 0x15e79e4f, 0x97e8e021, 0xd967c1cb,
+    0xdb02e9aa, 0x03a353b9, 0x3886931d, 0x5dbfa380, 0x40f40442, 0x5e4c172b, 0x013c35e5, 0x3b22c446,
+    0xa5c97b39, 0x1a901de9, 0x3248e7a7, 0x9bb5ef9d, 0xfa890454, 0x6af3368e, 0xe17398e8, 0xceda2de6,
+    0xd73b40bd, 0xf7fda432, 0x9d4a94ef, 0x0c7bc9e4, 0xb92a41a9, 0x110a2631, 0xb22f986c, 0x5ebdb6f3,
+    0xee067c39, 0x806cae98, 0x5e3472dd, 0x203fb6df, 0xfa8b90b9, 0xc59ef583, 0xcb547ae8, 0x47e4520a,
+    0x39df557c, 0x3d54bc5c, 0xe8bd8e93, 0xeabc7095, 0xf055354f, 0x279d6f81, 0xd364cf46, 0x610d3b06,
+    0x292b17c5, 0x2a2e00c7, 0x06fb9f34, 0x198548ab, 0xb073929d, 0xe1e28379, 0xb56a8661, 0x2d0d56ab,
+    0x5de83792, 0x20554cdb, 0x15347473, 0xaf897885, 0xefad6d18, 0x11ce0acc, 0xcb49f730, 0xbc818d40,
+    0x83040ee4, 0x952175f3, 0x49fc44d5, 0x3716bc0c, 0x98b6fd78, 0xd9105708, 0x1072e423, 0xdc272f80,
+    0x9725a402, 0x7260fe7e, 0x42c8c93b, 0x4543586f, 0x0eeac5ba, 0xa34537f7, 0x4534928f, 0x74c09fa6,
+    0xdf44393a, 0x2d68f57e, 0xa4f36154, 0x80aea111, 0xff52ac0c, 0x8c695f27, 0xb30e59c2, 0x8c3897e4,
+    0x8904fd56, 0xce255e93, 0x66e8ae18, 0x409101ff, 0x5c7fa4bc, 0x17337a6b, 0x407ad852, 0x0da9edcb,
+    0x992be552, 0x85132672, 0xb95f27fc, 0x9af74fab, 0x848782a6, 0x05993b2b, 0x2ab9dec5, 0x2afb92b3,
+    0x502960ea, 0xc3dc94fb, 0x55d565f7, 0x622816a0, 0x73f5a39b, 0xeebd8587, 0xfdcf3190, 0x5dda839e,
+    0x3bb03b02, 0x169e3f36, 0x1cb6c567, 0x917f391b, 0xe77e0a52, 0xef2dc1ed, 0x08b426ec, 0xbca63f3b,
+    0x0f244fc5, 0x77ebc479, 0x84108d36, 0x63b1cb6b, 0x46228ee7, 0xea4ae500, 0x5e7d7321, 0x7e458950,
+    0xd060a1d1, 0x309d1eda, 0x3a064249, 0x0fd92365, 0x35dcd645, 0x75cf39ac, 0x46c55388, 0x39caeb84,
+    0xf645246d, 0x5f47fab9, 0x16c4515f, 0xc004f200, 0xf78de8c3, 0x1c59bac0, 0xf564eab4, 0x822ee626,
+    0x56e207e8, 0x28bbb9bb, 0xa3529c0b, 0xa5b48556, 0xf29fbcc2, 0x1e9abcef, 0xe645b58c, 0x56a2fd36,
+    0x36b5b51e, 0xa7c7777d, 0x9e349beb, 0x3ba6a486, 0xcab4a774, 0x8a189ecd, 0x594cbf65, 0x867d7af2,
+    0xc3c76fcd, 0x49cd5c1b, 0x3956cb3d, 0xe7ebb5b6, 0x01861a19, 0xc5a55147, 0xbec07ef8, 0x85bd9cdb,
+    0xd4306deb, 0x9fea29be, 0xaa95e14f, 0x3c0447c3, 0x8836fb7d, 0xcf6644b4, 0xedb3ad05, 0x7b7325ce,
+    0x90f29ce6, 0x4fba55bc, 0xad37ecc7, 0xc39e2956, 0x39ad06ee, 0xc0cb8157, 0xc6381396, 0xc1cb943f,
+    0x6480848f, 0x62ab23e8, 0x9b317ff9, 0x3a1d5afb, 0x664d3b6d, 0x1aba7a91, 0x114d2399, 0x056d6140,
+    0x964b6b43, 0x9f1a7a28, 0x10785d83, 0x8adba109, 0x6c2fe570, 0xb643cc51, 0x55f50b73, 0x011b5ede,
+    0xcf5c4ac7, 0xe01aadad, 0xab139048, 0xe4b1d97a, 0x120394a7, 0xb1dd82f1, 0x4ef486fb, 0x432dab61,
+    0xdd669c1a, 0x9636c4a4, 0x15f4f0f2, 0x362c6bb3, 0xda5625b6, 0x05ab0733, 0x09a2475e, 0xb6652a73,
+    0x2778c574, 0xbd6029a4, 0x39300e8d, 0x12cd588c, 0x2be9a1db, 0xccdc1a49, 0x17f52934, 0x05459991,
+    0x7ccd191e, 0x6bc49ed0, 0x679b39a5, 0x2e78b276, 0x0808799e, 0x88ca4c61, 0xa2ca3dcf, 0x0a09c04e,
+    0x018db7c5, 0x2c3bbb1c, 0x842ec01e, 0x0b8bb5e5, 0x62b57811, 0xfd097e54, 0x5ce1b1bf, 0x7f882e5a,
+    0x0f518eda, 0x8c0a58c1, 0x55a95080, 0x917123d7, 0xfcd60921, 0xafcbbc0e, 0x61cd4822, 0xd805c779,
+    0x67c2483e, 0x661dffa5, 0xd4b728c6, 0x8d041259, 0xfd542007, 0x1df961f8, 0x61ec5861, 0xd5ba31f3,
+    0x09a5c66b, 0x78b3c799, 0x3d203e4b, 0xf4d21638, 0x511bf374, 0x6aa7a8c3, 0xb017ca56, 0x22cb39bd,
+    0x95d883c2, 0x8b19ef03, 0x6cfbce4a, 0x4b403c67, 0x0d7e06c8, 0x89be39b6, 0x91729047, 0x7f622346,
+    0x52d2522b, 0x2309a24e, 0xb49cb874, 0x17f99f2a, 0xbaeba267, 0xd8c8e3ab, 0x1452c13c, 0xf7152c2c,
+    0xdff673fa, 0xb8c8f5c5, 0xd873b7fd, 0xa4b3165d, 0x799bcc6b, 0x4e0ec2fa, 0x9a30d839, 0x5aa6ff1d,
+    0xb9af8870, 0xbaf63496, 0xf24fdd2c, 0xf506d8ec, 0xbc4c520a, 0x9f39a0eb, 0xb5f8c991, 0x9d92cbb1,
+    0xb69dcacd, 0x737f0dfe, 0x329501c9, 0xaa6f3760, 0x000e5af4, 0xd5b91bd6, 0x10ccc1a2, 0x65bfb042,
+    0x873b2d14, 0xb40609bc, 0xb14803fc, 0xb59edaac, 0x0f3cd2fe, 0xa827f898, 0xc21baa82, 0x8f422d01,
+    0x6bee962f, 0x84fb787d, 0x94e10c4a, 0xc76b502f, 0x0a6072fb, 0x89aa2a94, 0x6b0f4f6f, 0x7ed50805,
+    0xadbf7c1b, 0x26013707, 0x507bacc7, 0x55db03bd, 0x87305147, 0xabb38978, 0xfe2bb4ef, 0xe07b171b,
+    0xf7d092da, 0xfcfae3df, 0x849f66be, 0xdd96baa2, 0xa55c2a0f, 0xac464962, 0x396ab72b, 0x65c0bccf,
+    0xc5d48ef6, 0x17cd697f, 0x411f7162, 0x7db6874e, 0x938d0747, 0x41631ccf, 0x6b07bafc, 0xea685a59,
+    0x9a368fe6, 0x2753846e, 0x85eac97d, 0x89242b62, 0xc4ec6279, 0x08f81319, 0xf2aaaa61, 0x32683969,
+    0xdecbf12e, 0xb8499b08, 0x4a410a20, 0x21dcd0ad, 0x23eb22a3, 0xd7d626a2, 0xfc29af78, 0x6798188a,
+    0x1f91d125, 0x876c3909, 0xfc8cd477, 0xf37b5ad7, 0x320b62f9, 0xd6552f7c, 0x12d35086, 0x2359ee86,
+    0xaa33a8c5, 0x83fdaf1c, 0x2603ca4a, 0x8d0ce5ba, 0xacff64b6, 0x25fbcf8c, 0x60f3879b, 0xd741d95f,
+    0x2a816191, 0xed8beab9, 0x71af1dae, 0xf0c1b520, 0x3eef8e58, 0x189e31f1, 0x25cb3d20, 0xb2b0a1cd,
+    0xc4050315, 0x40b29325, 0x6d995c60, 0xcb80e6e8, 0x77d8d45c, 0x4d2ca2f5, 0x47b877f2, 0xc3c175d8,
+    0xef90a652, 0x261f8de0, 0x510d1b19, 0x33962f6d, 0xdaa61860, 0x38ae7c13, 0xc39bf048, 0x5f5d8deb,
+    0xabadc632, 0xf78f2667, 0x04f461de, 0x8b18d703, 0x062a772a, 0x2ed7b542, 0x37c91017, 0xda5139f1,
+    0xb803f47c, 0xea552ec6, 0x8a0d57fe, 0xfe3502ff, 0x9590686e, 0x9cd7e8a8, 0xc6f9a9af, 0x1a5c4bce,
+    0x0ebae9d9, 0x1e75fe58, 0x3a7337ce, 0xbd7f294c, 0xfd6910c2, 0xe346bdcc, 0xb31a095a, 0x738f7c3d,
+    0x24f67ff2, 0xd9d08c6e, 0x33705b61, 0x357522ec, 0x89299024, 0x035d452b, 0xe18ab053, 0xb861ff41,
+    0xab3ada16, 0x72f04149, 0xab574151, 0x21bb8abe, 0x413e0cb4, 0x3d4138c6, 0x00864e92, 0xb4ab3ccc,
+    0x7f42a5d3, 0x6543d54d, 0x3c9928e5, 0x14ba2487, 0x5555f296, 0xf257961d, 0x1128e08c, 0x672014ae,
+    0x5cbec155, 0x17ecd84a, 0xd11b8c16, 0xa5873c84, 0x7450efec, 0x93e26a48, 0xf59f8c46, 0x49e92b2e,
+    0x03ee7a5d, 0xf1f06329, 0x909a6e8f, 0x64806289, 0x4108a3d7, 0x0f2f654b, 0x37cac426, 0x8405587c,
+    0x5f9c02d7, 0xa2e58833, 0x1cc7cdac, 0x12ed2f06, 0xada5354f, 0xf22f2600, 0x9c869e29, 0x529efcaf,
+    0xadc22f09, 0xf2227c1b, 0xa1ab6d06, 0x63e33c6c, 0x75a5b7f8, 0x59caac87, 0x68285dae, 0x2fa1a9ec,
+    0xcd5524d5, 0x4b0640bf, 0x836a2ae7, 0x9174a95a, 0x51217c2d, 0x42a97eb9, 0x46eae1c5, 0xa5c93dd0,
+    0x876caafc, 0xb406e825, 0x4a7f7422, 0x68e7c4eb, 0x7ef2e1bb, 0x4b7f5e6e, 0x976371cd, 0x1288b31b,
+    0x0ea16275, 0xfa1b0abb, 0x902649e5, 0x2f08ca07, 0x2c4ede22, 0xc64cdb3a, 0x77c746ca, 0x848ce4c8,
+    0x2e27f3fb, 0x9848f52a, 0x11b6c329, 0x504b059d, 0x1cd3b57a, 0xfafc8c2f, 0xf63c3d7b, 0xf34df03b,
+    0x4dcfdd8c, 0xc0d96ed5, 0x67f720f6, 0xb46e22f0, 0xcfc4fc82, 0x0cd074fa, 0x31ba2154, 0x97e70614,
+    0x5bad51cb, 0x5229bc84, 0xc732c731, 0xd2524cc3, 0x1525e604, 0x35631788, 0xf7294424, 0xac9e9660,
+    0xacd5a853, 0x0e7b3ba9, 0x70acb0d1, 0x39a0c341, 0x5bdc76a2, 0xa347780a, 0xb6fe6f81, 0xebc080ae,
+    0xa6871800, 0x9b841baa, 0x2ccb38a2, 0xf4e4e98a, 0x73e63dde, 0x1d7a89ae, 0xf0f457bd, 0xefe2156c,
+    0xaf1fbfe7, 0x7800f5d3, 0x44a9a03f, 0x0a6fbfcf, 0x764b95db, 0xe744be48, 0x87eb8355, 0x74bf45e4,
+    0xf7f08ab8, 0x8b3e9852, 0x580912d6, 0x5e3c515d, 0x5148720b, 0x8f78b90b, 0x358c06fe, 0x6f44269f,
+    0x198fa5dc, 0xa5a97a80, 0x389546fa, 0x9565665d, 0x09841493, 0xb3e7cb70, 0xf7995d29, 0xeb8e1408,
+    0x65e578d4, 0x4415e75b, 0x7361b62a, 0x5439b5ff, 0xba2a1b82, 0x26396f3e, 0x8a46ae86, 0xc5047874,
+    0x8e0ea643, 0xc56fe81b, 0x598ee4e4, 0xca467b39, 0x3ead1fb3, 0xe1bbe8db, 0x71ab4b17, 0x9480ed26,
+    0xe4227baf, 0x4ea012ea, 0x752ca227, 0x39c602b1, 0x03bb4315, 0x898a36e8, 0x52c979d6, 0x67f1b752,
+    0xaeee1ead, 0x8bbdd86e, 0x7d700dbe, 0x1b41b7e6, 0xcbdf2d60, 0xbfb5b054, 0xe97536db, 0x31315626,
+    0x770c51bf, 0x323ab717, 0x8ebb481e, 0x2823b58b, 0x84e893a4, 0x87633321, 0x30603634, 0x198710f3,
+    0xe2cc036d, 0x17276c19, 0x421fd3eb, 0x74b52278, 0x0ee68ef6, 0x1a6ac828, 0xc6f055f2, 0x8c8a67b0,
+    0x3d9f70c0, 0xd33ecdbc, 0xf3bf46ac, 0xd46a4a50, 0x5c5340c5, 0xf3b3cfe1, 0xd9c48712, 0x11980f9d,
+    0x58287f9b, 0xfcfb3c86, 0xa926d65d, 0xd9979587, 0x85e116f1, 0x7ce3c764, 0x6221975d, 0xa213d6e3,
+    0x0035807e, 0xe4b31305, 0xf673735b, 0x4d531186, 0xb6ad6da1, 0x9e3274da, 0xd52456f9, 0xbbda9677,
+    0x489dc083, 0x57168ca0, 0xc0c5d297, 0x0fdf2557, 0x54c3ff73, 0x1a553d15, 0x89d052dd, 0xad646d99,
+    0x3591c194, 0xdb271e69, 0x412669ad, 0xcd61d75c, 0xb5add608, 0x2a175f28, 0xde7895a4, 0x39a148db,
+    0xb589b3a3, 0xc80bb41b, 0xaea05796, 0x338be2f7, 0xf426af92, 0xb43d2672, 0x20ca9040, 0x11740286,
+    0x0ca929e9, 0x985c43ad, 0x6c9bf75a, 0xf403bc97, 0xbc419213, 0x408fed56, 0x624a45a8, 0x3a0ec8f3,
+    0xe7981480, 0x59669cfd, 0xc6589def, 0x96e50413, 0x53c57eac, 0x07892b2a, 0x37d3aafb, 0xbb960418,
+    0x4cd142fd, 0x681c6bf7, 0xb00b31df, 0xced2f17d, 0x97ca2921, 0x6392fd7f, 0x5928268d, 0x1a649dac,
+    0xd217b02d, 0x994870a0, 0xc6ad8f9b, 0xa38591a7, 0x657230d1, 0xd751756f, 0xbc062006, 0x0a3dd31f,
+    0xaf188cd4, 0x38cb5e76, 0x317c1bd1, 0xc65e3be3, 0x942b6340, 0x40c2a153, 0x66d8d59f, 0x1306ab8f,
+    0x5f6c3c11, 0x7ea2ebc5, 0x59c6a3ef, 0x118ddc09, 0xfb6661d3, 0x82b79204, 0x1177119b, 0x5cf34fda,
+    0x49ab310f, 0xb4765bca, 0x57ea1431, 0x100d9684, 0x2c96bb5d, 0x158a756a, 0xc379b344, 0x2f7cee66,
+    0x864c7078, 0xbdd4166e, 0xb0cdb6b6, 0x27c083d5, 0x7fb65a34, 0xba79ad8b, 0xccdb654e, 0xc98bb7b4,
+    0x3011f338, 0x0a77f90b, 0x122a0770, 0x535ff3b5, 0xbdea3dc7, 0x4392fd1e, 0xf63b652e, 0xeb8dbe9c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000147573952589676412928 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bc, 0xd1b8afe3,
+    0x00000000,
+    0xbe72057a, 0x943c2b4c, 0xc656bd49, 0xd4ad4734, 0x82da00a6, 0x08a0a931, 0xc26beb34, 0xd31d9977,
+    0x90e5bfab, 0xaaa81b51, 0xdd23652a, 0xbb10dc49, 0x34bb6169, 0x2299a7c6, 0xf11ae1da, 0x82f39efe,
+    0x64055c1a, 0xc89d4778, 0x31632a0f, 0x54bebfb2, 0xec04ee76, 0xeb21b64f, 0xfd517d6d, 0xcc9ae77a,
+    0x4693c1b7, 0x383fdc2d, 0x3dce8e04, 0x1d5dba2a, 0x0d95ecf4, 0x459178ee, 0x0cb816bc, 0x7fcd568a,
+    0x0cb6bb64, 0xc7377106, 0x61ea7917, 0x5ea1dfc8, 0xab4c0915, 0x9f6ad3bc, 0xf5e6530d, 0xf1edbed0,
+    0x1d895be4, 0xf4fb0caf, 0x4bedd3c5, 0xcf3b4e74, 0xbffe692c, 0x1175758a, 0xcd3128d9, 0x28a577e9,
+    0xa0251537, 0xd807f853, 0x7a572bf3, 0x47ab7dc7, 0x696b3814, 0x3091cde7, 0x5ef8ca74, 0xb42f24ae,
+    0xc1952b5a, 0xc910c215, 0x51356cd3, 0xd2318c7d, 0x4378f030, 0x7ae2eb28, 0xe9524a80, 0x2c640e0d,
+    0xd36cdfa1, 0xe7ad2e31, 0x57e9dd5d, 0xc632fb37, 0xb0ec119f, 0x2f471434, 0x10461728, 0x54dbf275,
+    0x4f5f55c8, 0xb4fb7751, 0x45d2d333, 0x0738c459, 0xd1107cf5, 0xc679cc6c, 0xc0ab13a6, 0x1753e2ca,
+    0xc3c7b280, 0xa3a82483, 0x1221f0fd, 0x788a4ed6, 0xf7e8d902, 0xf539a9ad, 0xc76b3462, 0xe377bf00,
+    0x8465d078, 0x3823ebde, 0xa517b73c, 0x380e8399, 0xa431f546, 0x8ebeb167, 0xf3923314, 0x7f52f6c1,
+    0x12bd6f46, 0xfc576f4f, 0x9b1653b4, 0x9c88914d, 0xcbc61653, 0x114a8df6, 0x0ac653c6, 0x1a35c819,
+    0x8fcebd0d, 0x8c2d98aa, 0x8bf0f8ee, 0xe0b904c1, 0x1b12d139, 0x755e87d9, 0x72c36fd9, 0x667858ef,
+    0xd5819c2b, 0xd1bbb841, 0xacaabcf8, 0x10d2fe06, 0xe0c11379, 0xf56aaf4a, 0x314a0317, 0xc31ad766,
+    0x69e2808e, 0xbdf47965, 0x03af8b8a, 0x1a9c8aca, 0x1701467f, 0x55be303d, 0xfbd79ddf, 0xa7da5a0c,
+    0xcf489ed7, 0x0f8b4b07, 0x3ee80f0c, 0x4f49a36a, 0x33796cc1, 0x18f4fc5d, 0x90756cc3, 0xb871d9a4,
+    0x1580f2e8, 0xb6afc98a, 0xb0205f53, 0xbaaf994c, 0x293fa944, 0x14421966, 0xe2ae3ec3, 0x7c6c43d8,
+    0x1b146f9d, 0x98988e67, 0x15aa8950, 0x95d265b1, 0x04a9ede0, 0xaf7adb3e, 0x7860fbec, 0xcc37bee7,
+    0x1f0d48b1, 0xfe772112, 0x3320a8bc, 0xd30bcb5e, 0x54e58832, 0xcd145594, 0x0b89673c, 0xc5ac8148,
+    0xf5382efa, 0xeb593223, 0xe1a6dacf, 0x6c80dc33, 0xeafe5634, 0x967de748, 0x3ce53f9f, 0x4999be6f,
+    0x76d96e85, 0x682a7b20, 0x1f6e8064, 0x13547293, 0x4775f3ef, 0x2922edb0, 0x300d155f, 0x24ba3fd8,
+    0x5fce7384, 0x03a09010, 0x9f809987, 0x8c6ded9e, 0x7585e7ba, 0x94e69966, 0x345320df, 0xbcf17978,
+    0x8de91b1c, 0x618803b6, 0x2502e93b, 0xe71791c3, 0x9a3eb5d6, 0x95989fed, 0xf489ae9b, 0xd2abcb4f,
+    0x1eede068, 0x644ce8f0, 0x736c3a0b, 0x354fb775, 0xb529c7e5, 0x489840b4, 0x32cc19cf, 0xad05b2a9,
+    0x685c34bd, 0xfab4e9c9, 0x50de360a, 0x054c3b96, 0x079a2580, 0xe885a826, 0x305c6365, 0x49ac22da,
+    0xaf5d0196, 0x6472feb7, 0x4ae97060, 0x4d81469b, 0x4d8ed0d1, 0x596b4e4e, 0x2d7d2dc4, 0xa9b6b800,
+    0x3f7b1831, 0xef3bfbe3, 0xf4ea1ef3, 0x0fc1af3a, 0x4a7a44ff, 0x799cbc8b, 0x374244cf, 0x3c6e00a3,
+    0xa60870a1, 0x75ba91b9, 0x62ef3a61, 0x96f4d82c, 0x6118edef, 0x669cb1de, 0xdee4a3ba, 0x59e4d558,
+    0x1c2b866a, 0x8f9b7d49, 0x2f0c6d17, 0x960b122e, 0xd63bef7f, 0xb2f7e7de, 0x18d52617, 0x62f88914,
+    0x76e06441, 0x81b92b75, 0x4be621d4, 0xf10da2d1, 0xccd47832, 0xe5e83c08, 0x24ac5ffc, 0xf7838310,
+    0xd7dfa18a, 0x5bce6c4d, 0xdeb4622c, 0x2910327e, 0xab32ab7d, 0x80546168, 0xe6b5970e, 0x771f51b0,
+    0x6f78657e, 0xfc003321, 0x0e195d50, 0xdce5208a, 0x00faaecc, 0x62b75b86, 0x54de15b1, 0x2afdcdc2,
+    0x01da9c67, 0x1a9a6a63, 0x17c1fb4f, 0xafdb606a, 0xc7acdc79, 0xa4162fa9, 0xc6b85d3f, 0x933ec5b0,
+    0x9089c283, 0x6f717a29, 0xe47a8ca7, 0xedd6a7f4, 0x85fa4a82, 0x7a6cf124, 0x72749829, 0xad9d4f60,
+    0xa44742d7, 0xb2630110, 0x5212a23f, 0xf63254bd, 0x42cb9296, 0xbe71e2f5, 0x7489ff38, 0xc3ce2fb6,
+    0x1bb6d19e, 0x25e35709, 0x04635395, 0xac50e249, 0x7f030353, 0xf1ffe118, 0x1bb995b4, 0x70f5e51a,
+    0xbbadca2a, 0xb6491656, 0x68178aea, 0xb5ecb057, 0x13788cc5, 0x42f7e5cf, 0xa6b59495, 0x4cadc076,
+    0x5f1489f0, 0x10b115c9, 0x1285ccfe, 0xb9e3ff91, 0x063ce7be, 0x500a3d86, 0x72ff867f, 0x89866bd9,
+    0x4f36e3af, 0x4ce4058d, 0x1af177e9, 0x6e181673, 0xdcefe22f, 0xa4e4ffaf, 0x56236828, 0xbf297d6a,
+    0x0ee74fe8, 0x83db099c, 0x88515237, 0xd4590556, 0x5d21655c, 0x8623130e, 0xf50e9979, 0xd7c6365f,
+    0x189cc04f, 0x0d0ffa68, 0xc7b74ec3, 0xdc9b2596, 0x4ef3f720, 0xcf599f3d, 0x862b7a4e, 0xf60c3616,
+    0x7df807c2, 0xfabbf3aa, 0x787dfef7, 0xd142a0fd, 0xedf66bf0, 0x9baded49, 0xd5cf76a3, 0xd10fe48d,
+    0xc8ab1509, 0x38a96286, 0x6fbf0609, 0xb0fb0c31, 0x25a3ca57, 0x7593a740, 0xec4372dd, 0xc39ef72d,
+    0xe73b5533, 0xcbafd432, 0xdad82172, 0xd8f2218c, 0x7fba8d70, 0xa814a747, 0x1e1f8bd0, 0xe4656c52,
+    0xaac09cdf, 0x2941c181, 0x95fc5bfe, 0x54d51e31, 0xe3e1140a, 0x605ac6cc, 0x385ce837, 0x6cb90c2d,
+    0xf41b4c7c, 0x387883ec, 0x05cdaf74, 0xfa37b69c, 0x179b97d9, 0x6dccc249, 0x28c221b0, 0xa3990687,
+    0xccf8f6f4, 0x8c26b7e8, 0x121e9a7f, 0x26715b9a, 0xe77a0d20, 0x7a9058f3, 0xc5c73d92, 0x16ede56a,
+    0xbcecd1b5, 0x7c437a75, 0xa420ee06, 0x1493e9d5, 0xaabf9939, 0x2c7221e8, 0x24bf28ea, 0xde442313,
+    0xa0c69f50, 0x9c4c121a, 0xae3e1640, 0xda1579e2, 0x40cff66b, 0x423fd0e0, 0xbeb949b7, 0x2c8dc4e0,
+    0xde3fa17f, 0x2898a35f, 0xc96e90c1, 0xaaff5ca1, 0xdf5bdbd8, 0x6795ffcd, 0x532a11e6, 0x51bd6f23,
+    0x67cf530e, 0x6c8e9f20, 0x30f76322, 0x55920a9f, 0x745a863d, 0x7ea83691, 0x95fdca09, 0xde5988d3,
+    0x36a7856b, 0xae464f0c, 0x6409cf5d, 0x9506d08a, 0xc09c254d, 0x4442a9c9, 0x41c68338, 0x24f2dfb7,
+    0x82a6ffd3, 0x45bc9a44, 0x5179aaf9, 0x3c83410e, 0xbd561803, 0x1f0dae5e, 0xeb5a1aa1, 0xdb79b4d5,
+    0x06a025e6, 0x41398e3a, 0x54b2d5b9, 0x64467c07, 0xb2d08397, 0x02b0dcd6, 0xaa3295f2, 0x52f5da41,
+    0xe3f1d09d, 0xa5aa7935, 0x6afba15c, 0x59a825e9, 0x72fc9a8f, 0x27cd095c, 0x34c1f812, 0x96c25285,
+    0x8c6ce994, 0x8d1ff58e, 0x0b525519, 0x75b6270f, 0x57d64ac4, 0x4fb7d3cf, 0xb9482037, 0x9556d695,
+    0x73662f5c, 0x370a9e2a, 0x83b6aac8, 0x28b49297, 0xafb8e38f, 0xb71ae93e, 0x08337922, 0xc9744622,
+    0x1f01381a, 0x6eb6ac14, 0x31da687f, 0x36b1ccb9, 0x4f412df8, 0x64119918, 0xfa97075f, 0x5b353cef,
+    0x368256da, 0x22adc91b, 0x27b05d3e, 0x71d3788f, 0x4629df4c, 0x4cdf77f1, 0xd7ae1e86, 0xab44e43c,
+    0xa53465ba, 0x4ca8e1d7, 0xbadce19e, 0x27c8a994, 0xf55ceead, 0x1ce5f7b7, 0x0e85757a, 0x5dae5062,
+    0x8dfd74e4, 0xac004ac5, 0x6a1dc686, 0x28b34c98, 0x6a537d7a, 0xe26c8f12, 0x737ec1bd, 0xa9e62e18,
+    0x28d883bc, 0xa8b378f0, 0x38878c93, 0xad7785af, 0x2ac4caac, 0x30151e00, 0xe16b94f2, 0x55f9796e,
+    0xbedeea00, 0x03e58a86, 0x721ded6f, 0x7c4371ef, 0x02a7408b, 0xaad1bf8d, 0xa6025fcb, 0xc38a3422,
+    0xa767f5aa, 0x56db998d, 0xfc276288, 0x3656efa5, 0xc39879fb, 0xb38bbca0, 0xdd213bce, 0xe4e67cdf,
+    0x4da18dfc, 0xc6c89fae, 0x18d7cbc2, 0x0df45e70, 0x09dc13d6, 0x8787b01b, 0xe569349f, 0x8d723571,
+    0xfbb8661b, 0xf82b91fc, 0xf53028a4, 0xa6297b9c, 0x80b5be1f, 0x96cbb59d, 0x9d596b79, 0x9709ab9f,
+    0xdcc750fb, 0xbf839cf4, 0x9a32e193, 0x5face06a, 0x45903c68, 0x12999b08, 0x415e54ef, 0xaaf86906,
+    0x4a258e06, 0x921969dc, 0x201f2584, 0x573b4980, 0x6576fec1, 0x24c1acb3, 0x946d7838, 0x018df0df,
+    0xfc90a437, 0x0c2e0c66, 0x50b39788, 0xf1423cc2, 0x5320d546, 0x1b08d3ef, 0xf6de098d, 0x053327d0,
+    0x86a157ea, 0x0bdef6d2, 0x9bbf36f1, 0x00d3a175, 0xc3b8c413, 0x53dbabf7, 0x773d0b0c, 0x91dcac46,
+    0x1d73cdbd, 0x3da89ebb, 0x90e0790b, 0x99a5d01b, 0x6b2be8f5, 0x6aecd431, 0x5a3d41c2, 0x33dc15d8,
+    0x7cede8e0, 0x7d6dac5c, 0xeaa1e229, 0x34a492e0, 0x6fd7dbb6, 0x21031b30, 0x6849856b, 0xf4b9ea87,
+    0x41179715, 0xb4506750, 0x8d6f5ada, 0x837e447c, 0x77f57cf6, 0x265eb8e8, 0xe7681b8e, 0xc0cb841a,
+    0x19cc8d57, 0x7056b732, 0x0d5999c0, 0x7961351f, 0xc499fd84, 0x017a2d4b, 0xa7db2fb4, 0x6d680cec,
+    0xdb8346ce, 0x995b5896, 0xcc9d7a3e, 0xa8ebf46c, 0x66ec0566, 0x4aa785ea, 0xf8e3c286, 0x5e3632f2,
+    0xff5ffce4, 0x8ce34ef4, 0x7c2adfa4, 0x04b2d5ba, 0xbc203460, 0x72c15c36, 0x80d95680, 0x9c4fbff9,
+    0x4e5d6d69, 0x2c597663, 0xa630d9d3, 0x084dc9d0, 0xa7a02f98, 0x1fde9ef6, 0x343b4a7c, 0x6f2cfd54,
+    0x2ed6829f, 0x78bc503c, 0x6f2f45ab, 0x05841e1b, 0xe0ffc3ee, 0xa94bcf0b, 0xb31b9a64, 0xabdc15ba,
+    0x61f942bc, 0xb318de8c, 0xaed3e0fc, 0x99793a5e, 0xb239189a, 0x66bb29c8, 0xe34faa9a, 0x5eb95d09,
+    0x1a488e7e, 0xbfaec2e6, 0xd20ba209, 0xfea1c7d8, 0x47bd8cca, 0x50500096, 0xb8b4783a, 0xeb9fbc53,
+    0x22361368, 0x31e1b1ff, 0x3b38ecd6, 0xeabdbca2, 0x4e3f013a, 0xe9e5306d, 0x27a074f8, 0xfbc60bce,
+    0x40bc8983, 0x4487253e, 0xd5b1661e, 0xaa5fafc7, 0x1ae63c89, 0x9b96a347, 0x2f39938b, 0x0853d9fc,
+    0x4aace85e, 0xd925531b, 0xc0e485cf, 0x4f9c4e6e, 0x125b0f11, 0x49f686ad, 0xe1590f59, 0x681b7940,
+    0x1cf8a31f, 0x860d9816, 0x1701de79, 0x6f1936fc, 0xfcd49890, 0xed602b36, 0x06c42c7e, 0xaa5d35e8,
+    0xb8737a01, 0xf087ed95, 0xa0e570e9, 0x0ad05331, 0x13f36127, 0x39f80053, 0x9042928b, 0xf1bc0b3e,
+    0x3daa6747, 0x26c23a0b, 0x2ceb2f71, 0x7acc8b6f, 0x56ee8c0a, 0x8de7fe0b, 0x1dce65cb, 0xe43a2cc3,
+    0xcbe3da79, 0xa9467cc8, 0x335b90cd, 0xb952f521, 0x98cacc17, 0x19d5af74, 0x9ed9bbd4, 0x377553da,
+    0xf60fcf7a, 0x8f565aaa, 0x47d787a9, 0x5beb5ea3, 0xa491470b, 0xadd61acd, 0x7a14d3d7, 0x70abdd8f,
+    0xd973aac0, 0xb0932e40, 0x68df198d, 0x2451026a, 0x4c134627, 0x9df1c916, 0xee3fea5b, 0xbc0efc8b,
+    0x749bd1f2, 0x76fb6851, 0xd018e34e, 0x3050a47e, 0x8bb73281, 0x306d8f6f, 0x6220f134, 0x337001e9,
+    0xae4cca4b, 0x56f5a014, 0x3c5030ce, 0x50fba58b, 0xf5be9e53, 0x5f1c3d43, 0x92493599, 0x54bce0f0,
+    0xb4bfbd0b, 0x5881f10d, 0xc0f02dba, 0x9315fed7, 0x49fbe20c, 0x7107ff2f, 0x32549d29, 0x1edecea7,
+    0x75c9ca36, 0x370122a8, 0x3301fefd, 0xb60a2e1e, 0x03095cda, 0x63b1ed00, 0x411b46e1, 0x4c9c7e03,
+    0x32f1344f, 0x2fd33260, 0x3765080b, 0x189ee960, 0xe919da1e, 0x640d9f0c, 0x9200505c, 0xcf4bad1b,
+    0x6065f0b7, 0x403355b2, 0x350248a2, 0x6be9d528, 0x413599f8, 0x8309a007, 0x14888f54, 0x8ddef7ed,
+    0x3acc5ade, 0xcb6cbb0a, 0x58eeab9c, 0x20f7eca0, 0x0eab1031, 0xbbe00609, 0xeaa4ae37, 0x632b136e,
+    0xc6b11a5a, 0x9a125160, 0x73edec6d, 0x4b425b87, 0xe9e000f3, 0x1700d955, 0x15c90810, 0x4a3b862a,
+    0x6adfa19a, 0xc055025e, 0x1b46f507, 0x5fb39668, 0xe9a67359, 0xbb8d0f0a, 0x6bbaee06, 0x8a211d33,
+    0xaefd9159, 0x891a0509, 0x0d3da6b8, 0x4e07971c, 0x5968d3b7, 0x8da6fa69, 0x6c7f295f, 0x05804f1f,
+    0x69b1a828, 0xa5cbeea2, 0xfa3dfeeb, 0xe5256d95, 0x2a67b4de, 0x56325b91, 0xd66b772a, 0xe5aed8bf,
+    0x29ea27e5, 0x16b13c55, 0xcc145e83, 0x008a0d32, 0x06a6e40b, 0xa57d644c, 0x10ce4529, 0xfd96b7e3,
+    0x10f40901, 0xf8f1435e, 0x8815a0cb, 0x38470ab8, 0xb84fb290, 0xab8d7356, 0xf0ab6b30, 0x6cbb7158,
+    0x5654ff4f, 0xe8cbdad9, 0xbccd66e4, 0x08bfb8ad, 0xbf8f624a, 0xb479dddf, 0x9f32e95d, 0x15f66de8,
+    0x00050064, 0x98f98638, 0x39df3398, 0xa2c7f932, 0xa3a8282f, 0x2041a9e3, 0xfa6d8d27, 0xfbdd37ed,
+    0xe39c284f, 0xcfcd12b7, 0x748ff1a8, 0xd278e442, 0x5057985f, 0x0d3d48fa, 0xb5061199, 0x645d8d1c,
+    0x377ac122, 0x12fe9233, 0x881f66d3, 0x2474842b, 0xb77bece6, 0xc1aadd15, 0xdab5e43d, 0xdb73a05e,
+    0xaf5de0df, 0xa1377110, 0x58f4e850, 0x3ad517aa, 0x7c393791, 0xdd63ee5c, 0x766b2bfc, 0xbe82ca49,
+    0x5c2d74d2, 0x4bab225d, 0x150e884e, 0xe3a3273d, 0x23c042ac, 0x20fb4477, 0x5c81e08d, 0x18536f62,
+    0x58dba4ab, 0x5f1ad925, 0x073e1ca3, 0x29595ea3, 0x83593900, 0xc57198d4, 0xc57b3b4c, 0xf6dafe87,
+    0xcf42ad0a, 0xfba8aa83, 0x6bd641a7, 0xf5eb10b7, 0x9f132279, 0x35f35711, 0x0e72d2c0, 0xb100fa99,
+    0x3e559f1b, 0xd71ccda0, 0xcd129d6d, 0xfbf76f18, 0x6388677e, 0xe04acc7c, 0xb2b86972, 0xe020802e,
+    0x580ac814, 0xdb1979b3, 0x579af2ba, 0xffe8ffa8, 0x969579d2, 0xea0ade3c, 0xe2f47fd1, 0x93569294,
+    0x7f39d1e7, 0xe25f347c, 0x7e5b9e3f, 0x42ea783e, 0x60fa7237, 0x0b54ed2b, 0x203b7d53, 0xbfd39746,
+    0x0f5b0466, 0xed9a292d, 0x3cf5e27c, 0x8c675ea2, 0x140f7f2d, 0x6a85857f, 0x9cb4337b, 0xf2632a54,
+    0xef456016, 0x077cf50a, 0xf5144ba5, 0x27b68ed3, 0x10d63269, 0xc4950295, 0xe27c2a36, 0xe00d706c,
+    0xeeb4a859, 0x7c316124, 0xfc63f9bb, 0x6a27b16c, 0x04955713, 0xa4897059, 0x09a61428, 0xd7487683,
+    0xdbec5afb, 0xc4d94045, 0x205178af, 0x0f50dd34, 0x3d70cb50, 0x7440864b, 0x6d6f8869, 0x959ca21c,
+    0xfac40b57, 0xbfa7cae5, 0x317f3baf, 0x4c9d6591, 0x76c2c8e8, 0x7ccd6272, 0xd02d6e3a, 0x1837d3b1,
+    0xf4161689, 0xb428fc15, 0x873a8784, 0x79a6feb5, 0x54c2ab3e, 0x96d11a1b, 0x2b594efe, 0x5a1598ba,
+    0xf22c3a23, 0xefc7b61a, 0x8993d56a, 0x30e633c5, 0x45a00ab5, 0x0b9c7c1d, 0xba0db78f, 0x96df0771,
+    0xf5746107, 0xf1a59c86, 0x00518d88, 0x51cc2e30, 0x0841f26a, 0xd26bb411, 0x07d6490a, 0x825d33fb,
+    0xf14f9576, 0x75702eb2, 0x56c7ccf5, 0x581ca97a, 0x9ae95f69, 0x931b6246, 0xa60dbfac, 0x0cc004ad,
+    0xf7e736b3, 0xa7313ed6, 0x36a00cc4, 0x2135dcd0, 0x06fc2891, 0x3c9d8d1e, 0xea6515b8, 0x7af69b21,
+    0xf144e556, 0xdedeb8f6, 0x8583e2ec, 0x37b0012d, 0x7686aa9e, 0xbc8cf099, 0x5ee8a699, 0x28058065,
+    0xbc827c4e, 0x3efe8bca, 0x7f65ebdd, 0x9a852ac9, 0x57b202c2, 0x0f6216b1, 0xc8cc36d9, 0x9cce7531,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000073786976294838206464 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25e, 0x68dc57f1,
+    0x00000000,
+    0x9c21a2b9, 0x618cf430, 0x5451925e, 0xbbf83a15, 0x9c0230f6, 0x84123873, 0x6eeb8ea7, 0x28b5d02d,
+    0xa305b26b, 0xf80fb40d, 0x42d9233a, 0x8db0f1cb, 0xeb7f4862, 0xc012728d, 0x0cfde76a, 0x1ce347e7,
+    0xc5d16ec2, 0x7e9d6a28, 0x3ca079ce, 0x286c567b, 0x683fd41e, 0x284c93e5, 0xd8e5b5bf, 0x308a2a25,
+    0x316e1ef0, 0xf913fcfe, 0xd46a4d8c, 0xcf6afdb9, 0x499462f6, 0x511c956f, 0xacafe206, 0x2adb4136,
+    0x20df1d93, 0x16a88aa7, 0x45dd4768, 0xfa32d5b7, 0x2d477a85, 0x07920357, 0x47b9dab8, 0xa8c35710,
+    0x19abdf22, 0xd9159391, 0xd95f8fc9, 0xdafe9269, 0x33c09c04, 0x688880c7, 0x3e1fcdd0, 0x482e7e82,
+    0x8e0c05a9, 0x00631715, 0x3718661c, 0x215a45f5, 0x670406d5, 0xcc081d80, 0x8faaa6d0, 0x570e6ad1,
+    0x88182e7f, 0xc4ae60d0, 0xc51c5b72, 0x1b6faf3c, 0xe8d6e870, 0xb4e09e60, 0x31273d6a, 0x912d6544,
+    0x574a1e1c, 0xc5bd6eac, 0xeab3ef7f, 0x83f938d5, 0xce29e8cb, 0x9f54c95a, 0x47a2c70f, 0xfa71f4f4,
+    0xfd622c45, 0x390474c9, 0x090f997c, 0xbfadcf66, 0xc3240911, 0x8a7011c0, 0x0396b413, 0x8bf56e66,
+    0xe1651e11, 0x6f0f3421, 0x17d0518b, 0x3becf214, 0x3b83a247, 0xba5b6420, 0x268e6507, 0x82126a46,
+    0x5507910b, 0xafe59723, 0x3f7e7b04, 0xf40cc94a, 0x720fc1c6, 0xdb123826, 0x11074d95, 0xc7de637c,
+    0xc51a413f, 0xf871b5b5, 0xebade638, 0x9714d890, 0xc795c94d, 0x1eca6cfa, 0x5a5747a5, 0x0e35264f,
+    0x6b367466, 0xeb8e269f, 0x0ab864a4, 0xad231137, 0x01498a9e, 0xd3cbfbde, 0x3d9aba84, 0x585050c8,
+    0x4c911dc0, 0xeb1faf80, 0x3a72630a, 0xeeaa1999, 0xca89d30d, 0x8ac6422e, 0x096cb56d, 0x7e8c6131,
+    0x098e91b6, 0x4e492798, 0x29c41ec8, 0x6cd9c9a9, 0x48466fb3, 0x52a0545f, 0xd8ce74a1, 0xff8aea51,
+    0xd3e6e710, 0x23c4bec7, 0xd32fb37d, 0xc847002c, 0xe15832bc, 0x6cadd29e, 0x41ed3448, 0x49fa5363,
+    0x7e759331, 0xd5ed3704, 0x17ccf283, 0x8e8a121c, 0xcc19de2e, 0xdb3533d2, 0xd4e99ac8, 0x5326ec02,
+    0xc63c3b6a, 0xd7366b42, 0xedaaa859, 0xda462195, 0xd16c1175, 0xe868af4c, 0xc2e3451f, 0xbb43ef95,
+    0x9767d63c, 0x46c5a0a9, 0x06cf20a8, 0x6e3f9060, 0xe85bb222, 0xd07ef29c, 0x14082118, 0xbcd37e32,
+    0xdb6977e9, 0xe50e922d, 0x257d6b94, 0x5e175b1e, 0xdf6079d1, 0xb0168ecd, 0x92f0d609, 0xda7c17b3,
+    0x070165b5, 0xa09475a2, 0xefd36c5d, 0xfe2554ee, 0x3e39ecfc, 0xbb01d873, 0x00a19877, 0x9f447802,
+    0x557a280f, 0x58dda44b, 0xaf695716, 0x874f8bdc, 0x3ab4b1a8, 0x0ae3c85e, 0x3d5750fb, 0xec6fb367,
+    0x9a7be29b, 0x2d81baec, 0x62e66f07, 0xfdffd1ac, 0xb33b05ef, 0x21847957, 0x038d1eec, 0x924b6d34,
+    0x7b6efa65, 0xf446b2b8, 0xb8b0426d, 0xeb3fd705, 0x63ef9ad8, 0xf0e2fd7f, 0x1e9b3991, 0xcf746ab5,
+    0xa00c933d, 0xa72e5f72, 0x2b1ea97d, 0x5a1496dd, 0x88b6a78f, 0x8c6f6343, 0xfd05acf2, 0x44f05c3a,
+    0x9b757b9c, 0x769f6304, 0x18ca1b7d, 0x1d576abf, 0xac2db295, 0x3f77cc44, 0xa18f4b9e, 0xba4b0527,
+    0xf0171605, 0x036fc5cf, 0xa65b3ee3, 0xbc061235, 0xb36c0384, 0xceffc830, 0x5c10ea52, 0x13fc5b3a,
+    0xb643a509, 0x0c79dbc7, 0x9b1ac7f8, 0x5ef1fce5, 0xafa68f13, 0xb39c5cf5, 0x90b7b034, 0xf95be674,
+    0xd9a4c506, 0xf875faff, 0x082ecf4e, 0x0c75dc32, 0x69694302, 0xc3a6d521, 0x902c88ff, 0x558d6df7,
+    0x247f93bd, 0xee6f48ff, 0xf06eddfd, 0x0e3a2b04, 0xd242a004, 0xd21246f0, 0x1b2d938c, 0xc654abf1,
+    0xfb00703d, 0x817ea04a, 0xee70fdfa, 0x324e4915, 0x46259ae0, 0x7f9c4b88, 0x0c95384f, 0x4e9f5cd6,
+    0xf5220c2f, 0xa11f2679, 0xa4d44ef8, 0x863c4ee5, 0xa9393887, 0x06b0acae, 0x60ba1795, 0x5cc68418,
+    0xf185151c, 0xe7d56107, 0xbca0f164, 0x28082cb6, 0xfaefdae1, 0x9ad458bd, 0x6a6ba757, 0x539ff419,
+    0x66268656, 0xdeb64bff, 0x416e0725, 0x3c951c12, 0x66fa8446, 0xfdb9573a, 0xe877f95d, 0x10400997,
+    0x6ea73716, 0x57b1fc0e, 0x007d7519, 0x30ed8ee0, 0x7f3b7f40, 0x993e2bd9, 0x1e6d1f85, 0x99359c84,
+    0x34985b36, 0xa3d2285a, 0x80f9acaf, 0x6ffba584, 0xbcc6531f, 0x522f1af5, 0xbaebd5b2, 0x6b4e8ae0,
+    0x06650b41, 0x2f74b12a, 0x1f4ccef4, 0xa6e7fd16, 0x9658b513, 0x46b6b401, 0xfa9050e5, 0x48edeaca,
+    0x8706a10e, 0x0e906153, 0x8c647d75, 0x72cad664, 0xde85eada, 0xca16f3f2, 0x7e9031fe, 0x82555d4c,
+    0x9285be92, 0xe54d92d2, 0xa1d5ee4a, 0x2b080bef, 0x3f3bd7eb, 0xd6bc82cb, 0xdf066d7b, 0xa9f97a1e,
+    0x99252e8c, 0x5d9f56a9, 0xac36eb3c, 0x8da57703, 0xb225a3d8, 0x1b739686, 0xc706b4a3, 0x0878aeb1,
+    0x6664a668, 0x96ba8d0b, 0x585405cb, 0x796eb066, 0x0babcd87, 0xefb3af82, 0x193bcc0d, 0xf7b8fcff,
+    0xae095b26, 0xde36e668, 0x75d59627, 0x770b62cf, 0x96206052, 0xf603880c, 0xf8421caf, 0x9243ad3f,
+    0xed4da661, 0xa878740a, 0xec218a43, 0xea9bdabf, 0xa1dd47f3, 0xb52e243f, 0x3fcdd923, 0x9feb93d9,
+    0x30d63d27, 0xda946f92, 0x15387b09, 0xb57a579f, 0x48c0fe23, 0xc12aa742, 0x606c83eb, 0x336791e0,
+    0xfe105856, 0xdcff9147, 0x3a44d205, 0x23e0e447, 0x1420b06c, 0xfd375e6c, 0x0e08b625, 0x4ce6e157,
+    0x38c115e6, 0x6d958665, 0xfcdbf189, 0xe2809b4a, 0x348dd10b, 0xc9fe2aa7, 0xe977f1b1, 0xbdd9a080,
+    0xb2b66a59, 0xe606b664, 0xc4fcd85b, 0x5a540728, 0x9cafa39b, 0xb8faf34e, 0x3cc02fca, 0xb6fedd2a,
+    0xd9945adc, 0xb54aaa4d, 0x8e16dc11, 0xb3ab2f94, 0xfac141df, 0x1e690701, 0x4aa79249, 0xf7968a44,
+    0x144e65a0, 0x4587fe75, 0x03af8ea7, 0x86b6060e, 0xf0a58221, 0xe1f73425, 0x14fe40ae, 0x858581ea,
+    0x2a2afb10, 0xe98d7218, 0xff9cdfca, 0x589bdcad, 0x8b5b10ef, 0x58a935fa, 0xbcf14a14, 0x1eb07254,
+    0xd9f732ae, 0xe27abb9d, 0x2257dff8, 0xc7fb6aae, 0x7ceec23f, 0x0e22b1b0, 0xa815d2cb, 0xd969aba7,
+    0xa6e00cd9, 0x44d56669, 0xe9835965, 0x115a447e, 0x6ac032e5, 0x9a26b326, 0x70efafa9, 0x6e60f7ff,
+    0x8ca64941, 0x9acaf602, 0xf5b6a8f6, 0x3c339899, 0x1e299534, 0xe5c8f434, 0x14382b30, 0x9d91f528,
+    0x1dc059b1, 0x8a9f857d, 0x257e6b3f, 0xc97e1629, 0x0f1b1565, 0xcca1b857, 0x7bd74b21, 0x33b77307,
+    0x9f7b4588, 0xcfe9b6a6, 0x9352f400, 0x5e3a0f74, 0x664ab45f, 0xd0887061, 0x23b21008, 0xf535d363,
+    0xae5d0d79, 0xb041f859, 0x2599f935, 0x25253244, 0xed9f35ae, 0xdfe0288b, 0x059d3117, 0x32f6451b,
+    0xe3ecabb2, 0x12bfef65, 0xe444b2d5, 0x6b11faeb, 0xbe4b97ea, 0x596c8c88, 0x2739a2ea, 0x6a48676b,
+    0xf15d4ee1, 0xfbe1aa14, 0xecffec12, 0x362da96d, 0x97dade85, 0xdd918d00, 0x3f86c850, 0x09e04fb2,
+    0xc60c40e6, 0x9dc73822, 0x3c080c26, 0xfab330ed, 0xf83441b5, 0xcb09d7a7, 0x11c8bae8, 0x07e90b00,
+    0xbac1b4b4, 0x4b5fb79c, 0x9664c7d1, 0xace44f7a, 0xfe8b3e43, 0x31f876ce, 0xd80df92f, 0x9e255364,
+    0xbb3b78a9, 0x22217587, 0x65774911, 0xc5e5ae64, 0x963c16ac, 0xa1e8a756, 0xc8b1e78b, 0xbd087811,
+    0x2b845771, 0x8085499d, 0xad0c195a, 0x9425643f, 0xe6302b2d, 0xf0042264, 0xf5531286, 0x2416c8ae,
+    0xd8bbcd54, 0x363f3193, 0x43a94c59, 0xb73d39d3, 0x4080994f, 0x3b6208f4, 0x12d69b58, 0x34c07c36,
+    0x472e0dd2, 0x85370463, 0x358421fc, 0x53c0d290, 0xf009b3a6, 0xfef6f923, 0x1ff06405, 0x1ef037ce,
+    0x7aefbf44, 0xddbd3e1f, 0xd16f5663, 0x0f0370fc, 0x8509b588, 0x8de23b70, 0x398c150f, 0x2eac0aa5,
+    0x181a3be3, 0x197b6a58, 0x4fc128d9, 0xe4d57433, 0xb6a160fd, 0xb68c0976, 0xc8549798, 0x8d397dec,
+    0x61f6b34c, 0x22b8579b, 0x7896532d, 0x10eeae62, 0x9b10442e, 0x5d4c0cd1, 0xc15c73de, 0xc8873b0e,
+    0x496609ff, 0x4e692a78, 0x52570710, 0x12c81794, 0x4cc95e86, 0xe3387388, 0x9dfc6aca, 0x7b20dcf4,
+    0xfe03b114, 0x6e80d1b2, 0xa8bf4cd3, 0x541c124a, 0xab0be133, 0x80d0f320, 0xc7fde9ba, 0x61f8b677,
+    0x60f8f3a8, 0xc9275333, 0x99c817fc, 0xa4bca834, 0xe8870a4c, 0x3e852d61, 0xc02d3cb6, 0xd501b02a,
+    0x22c8465b, 0x4886421c, 0x2c282d70, 0x328b8ddf, 0xdb1c3220, 0xce38281b, 0x05727e90, 0x06d04cf5,
+    0xe2f61712, 0xabb2e3e2, 0xa8db60fd, 0x9271a6c2, 0xc88cf1b1, 0xccb7850c, 0x06e3baa4, 0xbcef26b7,
+    0xd3b09178, 0x5723180d, 0x141d262d, 0xaf11b0f5, 0x9c596cdb, 0x2ad96e44, 0xb42edfb6, 0x7623fe7e,
+    0xe84acfd0, 0x0d869cf5, 0x84643365, 0x44eb248e, 0xedb3cc4c, 0xee352d26, 0xb5db3e2b, 0xb452dc4e,
+    0x87b38589, 0x818483d6, 0xc1e504cd, 0xb1c67900, 0x4c3f5387, 0x589c4e31, 0x85dedacf, 0x904410a3,
+    0xadfcefdb, 0x5ccca775, 0x492b3afd, 0xc8c8f2e5, 0x67c6b1e5, 0xa884cf10, 0xf95371c5, 0x2a9cac7e,
+    0x77f6eccc, 0x8e464ee0, 0x9ed051c3, 0xd2407de9, 0x6dfd0c43, 0x67665226, 0xe1999bec, 0xff11f9f8,
+    0xea1a037a, 0x83da633a, 0x0e880822, 0xd501bca3, 0x683f2d7f, 0x7ebffaef, 0x641d04ca, 0x77dfa70a,
+    0x37451f9c, 0x48261038, 0x85186295, 0x56012bf3, 0x2ee68450, 0xaa1031c0, 0x25b9a740, 0x3bc62a5e,
+    0xcf0a117d, 0x413e2678, 0x57b0be4c, 0x19ffc22c, 0xbc9e8851, 0x009b4483, 0x9ccac8b2, 0x973e31b7,
+    0x9e8cd13d, 0x7c62bafd, 0x5063e962, 0x3340a9ee, 0xe30c2413, 0x2d825fc2, 0xe15bc7d0, 0xf9c965c5,
+    0x55cb25ed, 0x668757ca, 0xf073d0ea, 0xc4d4bab9, 0x3d5d8099, 0x8262cd73, 0xb023e25b, 0x464ef04a,
+    0xa5e7001d, 0xa65863af, 0x121e651e, 0x4ad27485, 0x57057310, 0xcd3496bb, 0xe83cb1bf, 0x10cf728f,
+    0xe0d6d65f, 0x9186e485, 0xf4567c38, 0x6ccbec9d, 0x201cf275, 0x10e9b4db, 0x9b34bc4f, 0x2c4a6257,
+    0xbcbb6c3d, 0x3d39e192, 0x667fdf2c, 0xbb416ed5, 0x2a685b4d, 0xe6afcc79, 0x3f1a98a9, 0x9f84dbb4,
+    0xd3782df3, 0x8a5513f7, 0xc2d8f86d, 0x1ed190f5, 0x234a4fac, 0x78ac2f9a, 0x7a175b58, 0x2594be0b,
+    0x6301bc8e, 0x202ad66a, 0x84ace3bc, 0x11514987, 0x8cdc59ff, 0x69f59910, 0xc550465b, 0x8ed89a43,
+    0x678bb762, 0x7f7c6208, 0xfc4a2377, 0x6920344e, 0x04649c85, 0xd1be4bf9, 0x69a7ccfe, 0x173ab387,
+    0x70224718, 0x4cdf2bef, 0x29125929, 0x42157398, 0xc0d3fb7e, 0x84497d17, 0xe80df599, 0xdf8aeb40,
+    0xbacb4657, 0x60670ad6, 0x9dcda43e, 0x530f9be0, 0x20512e32, 0x9db9563f, 0x6a9a085c, 0xf393a1bd,
+    0xde932837, 0x5cabad7d, 0x49db8276, 0x07bf3da7, 0x209c0513, 0xac5cf2b0, 0xa53a8973, 0xf3c04608,
+    0xe4ee18d3, 0x24122f0c, 0x2e59d304, 0xb89d0b7d, 0x6912881c, 0xc813b101, 0xfd7ee83d, 0xf78c97e2,
+    0x69003774, 0xc8d3e5d8, 0x318cc429, 0x7c0b2f35, 0xed877d12, 0x40990a79, 0xe28fc911, 0x3e974117,
+    0xd280529e, 0xd599b001, 0x3c27d6c6, 0x60778d4b, 0x16717199, 0xb34cb7c4, 0x6c8689f2, 0x52bfcca1,
+    0xa50798ed, 0x956c16b7, 0xaaa98647, 0x9a781c04, 0x092de7a6, 0x2f125a8e, 0x60ee8bc6, 0xbcdecd70,
+    0x4e98d7e9, 0x8168c0e4, 0x08ba2cfc, 0x477f9977, 0xdff90c88, 0x04e67776, 0x7432bd92, 0xa5ea5e74,
+    0x6465f62b, 0xa6abb40c, 0xb57d4ac0, 0xeeed550e, 0x21ab767d, 0x1fbcc192, 0x13c6c17f, 0x59a0cfb7,
+    0x642b9550, 0x39e1eb43, 0xe884aefa, 0x35e26462, 0xa0b3ef18, 0x253acdee, 0x0e85bf4f, 0xe34bd415,
+    0xb81221a5, 0xcf234926, 0x9b81bf8b, 0x4923ff75, 0x7f0f87ce, 0x67f2de10, 0x62978aff, 0x8f978d2e,
+    0x8cd209bc, 0x1d8ffde7, 0x276e31df, 0x1315b36f, 0xab14b5a8, 0xc7857e13, 0x5f45bc91, 0xed76eb49,
+    0x6c6405ca, 0x62f17693, 0xf077184b, 0x59ea3004, 0xc0cacf18, 0x028a1029, 0x94086ce2, 0xc4e849d1,
+    0x52eb6e72, 0x0ec12530, 0xf901bea5, 0xe7ddc5b5, 0xd1c6d3ea, 0x206d7336, 0x615359a4, 0x950f9a8b,
+    0x7f26a7ed, 0x4a4cced1, 0x73b0a385, 0x6335c35a, 0x6eb69376, 0x0ec23bef, 0x1671c8ef, 0x1da67d69,
+    0x69d23eb8, 0x05ae6a64, 0xe9810386, 0x2a8e54ba, 0xb6a46426, 0x6cbb45de, 0x3b3f90d9, 0x9fa67519,
+    0xc04f8fd2, 0x1872e29e, 0xe0bdad3a, 0x224272a3, 0x5262028b, 0x717d1dd2, 0x56cd1cfd, 0x94cbb7b6,
+    0x9f951181, 0x48fd405d, 0xe19a2a30, 0xaed96a0f, 0x66a799a9, 0x34fe3122, 0x100623c6, 0x69340d16,
+    0xbdc4d626, 0x895f3e8d, 0xfc96503b, 0x21ffdcb0, 0xa09ef807, 0x21b4ebf2, 0xc80e3d5a, 0xd590ab20,
+    0x99554da4, 0xd2542375, 0x529efcfc, 0x1950e06c, 0xc32806ff, 0xd9536f07, 0xfde514c1, 0x349dd342,
+    0x4979eb18, 0x83bb13db, 0x238035ed, 0xd8a8804e, 0x52f43600, 0xfddb0791, 0xf0cb8c17, 0x96e4d2fa,
+    0xbecb87c9, 0xe0b7d160, 0x97073fd7, 0xdb21377f, 0xad90b5c7, 0x942fe9dc, 0x120251e6, 0x8ce62b4d,
+    0x2ccbb94c, 0xe4ed4249, 0x7b76d4c3, 0xd9e346bd, 0x7c7c3869, 0x1fe967ea, 0xca4fad12, 0xc0c6509b,
+    0x7e0b7d24, 0xa5f41c36, 0x63fb60d3, 0xc85dd9e3, 0xd570741a, 0x7dd39322, 0xfd62bbbf, 0x24b28b58,
+    0x81d48bd0, 0x5a6052bd, 0xa7a4da2d, 0x243e7d4a, 0xb33fa559, 0x623cbf61, 0x1a414231, 0xb9b0ffcf,
+    0xde3f0260, 0xca7f21e7, 0xd1cb6e31, 0xf12e0939, 0x51e88e45, 0x4f439310, 0x1769d3cc, 0xa1eaac27,
+    0x1deb1161, 0xda6795f3, 0x2abbee23, 0xbd9e523e, 0x9ff19628, 0x56f82dae, 0x51d4a20e, 0xb97a9ae0,
+    0xd235fb03, 0xb898566d, 0x336d432e, 0x0c387660, 0xc41383d9, 0x2f724a1d, 0xadb27f9c, 0xc5c41090,
+    0xa600adba, 0xc3876aae, 0xf74644c6, 0x2ce79283, 0x9534d17d, 0x571f550c, 0x41d82b51, 0x3cae165b,
+    0x01ec7e4c, 0xc52eeb56, 0x03bead23, 0xbe126aae, 0x91924e18, 0x2c844113, 0xd5d4679b, 0x0564cbf4,
+    0x1440769b, 0x741f55c2, 0x892ae3b8, 0xdc34c1ce, 0xbc4ec317, 0xb207d5ff, 0x3a08f8dd, 0x1acab715,
+    0x3cabcf87, 0x06e314cb, 0x38338cbf, 0xc26b8fc1, 0x647dff0d, 0x459b56e4, 0x08ff2908, 0xf231718d,
+    0xf74037cb, 0x01dd01bb, 0x7078f45d, 0x4bafccf6, 0x869950ec, 0x76f26fa7, 0x8f4b89ee, 0x23137fa9,
+    0x75c8769c, 0x6e4d0b07, 0xbb5b1c8a, 0xa5d00ef1, 0x562b2387, 0x772d4f24, 0x90d78fd1, 0x0163e20e,
+    0xc42194af, 0x902bb263, 0xc7905118, 0xd6479a85, 0xf1a30b23, 0xe16c6340, 0x82a8a5f1, 0x9b93c6e0,
+    0xd002d137, 0xf64360c3, 0x3f45dc9b, 0xa3bf92a7, 0x817288fe, 0xc8a62532, 0x11f0e316, 0x0d63b50d,
+    0x5992c5ee, 0x95c61523, 0x678e6993, 0x9936248f, 0x607fef46, 0x97c7bf05, 0x168f90cd, 0x7af63121,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000036893488147419103232 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12f, 0x346e2bf8,
+    0x00000000,
+    0x8d5e1f8d, 0x2add0e19, 0x71d1008b, 0x25918f36, 0x920452b8, 0xb2d856cb, 0xa2f8a169, 0x5458ec78,
+    0x9ff3e643, 0x7e419799, 0xe7aec308, 0x2a889fc8, 0xb7bb4f90, 0x68f7f903, 0x34faea98, 0x5633b0fc,
+    0xbd2646bb, 0x83f60d2b, 0x3d7a5100, 0x9af9499f, 0xcffc7756, 0x13aa5609, 0xa06198ea, 0x2c3f92f1,
+    0xe6c9e1c7, 0x7f7b695e, 0x368a6c43, 0x77d2295e, 0xdabf7071, 0x74bdf48f, 0x5b4681b6, 0x4452eb8b,
+    0x7b925af5, 0x7a04adf9, 0x71b5f821, 0x57960459, 0xc691f06f, 0x03fa2936, 0x4a5bf67d, 0x652d8ec2,
+    0x2c769b56, 0x6638a9c8, 0xf8e1a647, 0xfb9d3b24, 0x1f89582a, 0x46c1b331, 0x372033c1, 0xc7719727,
+    0x78f98345, 0xe691e396, 0x659baa8c, 0x268e9721, 0xc9ccbd7f, 0xf5525167, 0xef8e2655, 0x520bd074,
+    0x044cb419, 0xb75cfef5, 0x3ba33109, 0xd7000036, 0xb12da452, 0x06539931, 0x86142e9c, 0x3a623158,
+    0x52bbd7b2, 0x2802d755, 0xc049b6fd, 0xa8f96bad, 0x75732157, 0x63ce1cfd, 0x6d19b977, 0x2157e869,
+    0x91a2d718, 0x684fbf56, 0x221c44f5, 0x2ed3d362, 0xf308d8c4, 0xa5fea8f5, 0x070ac7b8, 0x6fd6f35b,
+    0x37d2d3bd, 0xba6561d7, 0x7cd8d61d, 0x1e26395c, 0xe7c02f8c, 0x37347a37, 0x5feee3ed, 0x53b03c4f,
+    0x2363df39, 0xbbe84d3d, 0x6b171ca7, 0x4ae6174b, 0x27566765, 0x0dcecd35, 0xec97f733, 0xc0314f39,
+    0x5bddf0ee, 0x39f9674a, 0xcab05279, 0x1bf069ff, 0x9d517158, 0xa7775812, 0x4913963e, 0x58b0df72,
+    0x9c796ec2, 0x084126dd, 0x1a2a0611, 0x16db1212, 0x844c7dc3, 0x369ef326, 0x41ad5e40, 0x9b04d707,
+    0x75d3507d, 0xf107c60e, 0x352aae25, 0xa6c63187, 0x5e87fd82, 0x7b1a8308, 0xe46f6d55, 0xd02ebf4d,
+    0x5cfc4bfb, 0x4a2e2247, 0xc3ab6323, 0x12e03c15, 0x8cd9658d, 0x4d4f92fb, 0xcedb90ab, 0x831df9de,
+    0x6e2a5aa8, 0x0f8b70fb, 0x9a8e28c8, 0x00e7dbfb, 0x45c6350a, 0xed896019, 0xaa9deb33, 0x9529bf89,
+    0x21f24836, 0x2f681046, 0xc877d5c0, 0xb35263b0, 0x58a22877, 0xccaace56, 0xc290ff49, 0x4b65b280,
+    0x8d4ac613, 0x13950f1c, 0x4c667f22, 0xaa612bba, 0xccb7d2fa, 0xbee26b31, 0x8ae806fb, 0x3d052300,
+    0xca02b898, 0x9c470345, 0x96f723ae, 0x8fb6daaa, 0xfef2ce0b, 0x941cfc67, 0xdbddc8f8, 0xba78d2b1,
+    0x4b129ade, 0x11c845e5, 0x320e9f45, 0x5c60e117, 0xcf4e8f38, 0x963db4bd, 0xdc0d366b, 0x038aaff5,
+    0xfe6ad895, 0x42bbc501, 0x42d1773b, 0xc91cce8e, 0x1a7ee40b, 0xf3c10e2e, 0xcc9c88dc, 0x939e5760,
+    0x2a60f64a, 0xe3ff72a5, 0x524909fc, 0x55d30949, 0xff6ada78, 0x05c435e8, 0xaf384986, 0xfb37f9f7,
+    0x26bf35c6, 0x7e176478, 0xf0bd2a10, 0x2c6cbba5, 0x166f81ae, 0xf6fdcbb3, 0xb2aacb2b, 0x412d3ebe,
+    0xb827ea3c, 0x978dfe2e, 0x838415cc, 0xc913ba39, 0x7747021d, 0x7d4afd72, 0x8cc02c18, 0xfe770eb1,
+    0x4cba0cd0, 0x5e770641, 0x663548a2, 0x223ecfa6, 0x675fbdc2, 0x2b4ca4b5, 0x218191c0, 0xb19d3baa,
+    0xa6463ff1, 0x0033a778, 0x3f53cc77, 0x970f7783, 0x5d4ffada, 0xf513d047, 0xf99ab63d, 0xda5c496c,
+    0x186ecc31, 0x700a4fb1, 0xec11206f, 0xb7a6d27d, 0x867b38c8, 0x628c0503, 0x81912c36, 0x480cebfa,
+    0xf47e9194, 0xaad975f5, 0x92a011a4, 0x8e7e6114, 0x21623174, 0x50f54bf0, 0x131193ee, 0x8391280b,
+    0xe31a176a, 0xa407e1a8, 0x3f397e0a, 0xbe7d38a0, 0x24614248, 0x17e037af, 0x6ff7b022, 0xee9a6dd6,
+    0x6ee03086, 0x87b48225, 0x4a2c4bc5, 0xdb41ba41, 0xeec7e742, 0x6e95e937, 0x1d531f19, 0xf9f2d9e8,
+    0xa8024835, 0x6847baf1, 0x8b943589, 0x4a6825fe, 0x07450431, 0x19befdef, 0x17379421, 0x657671a2,
+    0xc370166f, 0xa930e8d2, 0x33656794, 0xf4caf9e8, 0x69d3a6a8, 0xd8a77f5b, 0x740f8c96, 0xde0957fb,
+    0xa9775559, 0xf86a95b9, 0x3ad76662, 0xd1b544d2, 0xa878440a, 0x122d9b5b, 0x4041bc5b, 0x300fb0ed,
+    0xa9dd3748, 0x4e1ebfe1, 0xf8e06ecc, 0x8f79b007, 0x93e9318b, 0xba80672a, 0x1f01de4e, 0x47bdef68,
+    0x9a25f0f5, 0xf83b7773, 0xa4481811, 0xcfba185b, 0xd99f8440, 0xec1d884a, 0x1798287f, 0xd6126b86,
+    0x4dca7f3d, 0xc54ff29c, 0x5488359f, 0xb24f185a, 0x76775ec5, 0x185e6229, 0x26dcd2b7, 0x214d0fd0,
+    0xd73f9e00, 0x9d73deea, 0x2ea75492, 0x08741424, 0xeecd24b6, 0xdfa400d7, 0x588cde8c, 0x06307870,
+    0x42f706a3, 0xdf9d2f1b, 0x702d022a, 0xac5acfb8, 0xe2369f23, 0xeb722851, 0xfe9ae3d5, 0x05f45ba7,
+    0x536e63d8, 0x6ebb1515, 0x9945ee08, 0xe198d784, 0x25e42955, 0xe9926349, 0x5cf0648a, 0xd0f244ae,
+    0xe4340633, 0x3d6b6f28, 0x1bc26860, 0x78f9ced1, 0x0fdf7c37, 0xf650d8f9, 0xbcfeddf8, 0x3b3d081f,
+    0x444a7bfc, 0xa1829aba, 0x7404da59, 0xc485697e, 0x113dbc4b, 0x3e573695, 0x2c0df0bd, 0x10944a74,
+    0x47600521, 0xa6632fa6, 0x40112288, 0xd2726d71, 0xa0e011b2, 0xc8649e2b, 0x3d6c29dd, 0xaae3fb2e,
+    0xa1fbf100, 0x148b438d, 0x6c6b3e2c, 0xa3f9ab63, 0xf67d7628, 0x329b1787, 0x149e040f, 0xf0167909,
+    0xd570e7d1, 0x85f39b21, 0x0cbeb0f5, 0xcb8326d2, 0xdbb55f77, 0x08a949c4, 0x827e86e5, 0x0e7bd718,
+    0x84eed76a, 0xcd8988b4, 0x8174cfd5, 0x2aa71af9, 0x55514f00, 0x6822033a, 0x32640f29, 0xeea9e849,
+    0xfeab4264, 0xb2876e8a, 0xbae61ae6, 0x78ce510e, 0x2fd38180, 0xd8c7cbfa, 0xaf02e749, 0x7e0ddd92,
+    0x910fda7b, 0x977372c5, 0x3bc80325, 0xd004e47e, 0xac3c5d7c, 0x7b37eff8, 0xe6765c90, 0xedf0ac1b,
+    0x0bf750b5, 0x60c162b6, 0x708b1ffb, 0x2cfe2940, 0xe8fcc1bd, 0x982a9180, 0x55aacb34, 0x7e070772,
+    0x35071c92, 0xaed7dfe2, 0x8ce12b51, 0x416ca4cf, 0xf0e10c2a, 0x6d0fde7c, 0xef9a4fe4, 0x05cdf4c1,
+    0x263e3038, 0xe0ef12cd, 0x350a0e05, 0x9e6f5579, 0x94d545ac, 0x5e8dbed0, 0x0d0718ef, 0xae599426,
+    0x5e1136fc, 0xbd8881a8, 0x00002c2d, 0x63bb1f5d, 0x47aea3fc, 0x1b9d7e5d, 0x00805886, 0xafd3ab0f,
+    0x995e8449, 0x3710cc54, 0x520f9e78, 0x2466c882, 0x44997228, 0xb6b1e396, 0x34f9b1fb, 0x906aef30,
+    0x630a7b91, 0xfb178aa4, 0xa94ec9bd, 0x3a698e54, 0x70a74ea1, 0x50bf5771, 0x109d54dd, 0xfc075944,
+    0x47c4d970, 0x4c909e2b, 0x39cc5376, 0xdd3ac998, 0x6c5d6897, 0x5345a750, 0xc443661c, 0x80564100,
+    0x1456b14f, 0xa7f0615a, 0x5d6b0644, 0xe9555654, 0x4474a3da, 0xab8bb291, 0x23ad49a0, 0xbce1f989,
+    0xe59e339e, 0x2d5787ef, 0x91f0ee1f, 0xf0b2f4f4, 0x3186080e, 0xe9206a13, 0x9c23c616, 0x05770b99,
+    0x5067cd3a, 0x8566991b, 0xdfec5661, 0xf3f715e1, 0x65d42282, 0x8d5bd440, 0x530058a6, 0x82deba4d,
+    0x8c1c457f, 0xbdb78c68, 0x5f81a84f, 0x64e963c4, 0x14b07ac0, 0x581d9707, 0x9ba064ac, 0xcf6774ed,
+    0xdb3c4cd1, 0x3bbcbb0e, 0xcebc74e3, 0x4be53451, 0xaf3e334f, 0xf96c466d, 0x3023ed70, 0xbe35f0a2,
+    0x87fb2bed, 0xdc4e76f3, 0xd8e8bb16, 0x6ab7d732, 0xd484251f, 0xc8b2ea9d, 0xe712c702, 0x39e3770c,
+    0x7c32b2ec, 0xeaed1751, 0xe23e7cf2, 0xad3a6087, 0xf9cdc206, 0xf7619c4a, 0xc783bded, 0xde47ee58,
+    0x01c41f73, 0x3bacc629, 0x0b1b738b, 0xb1dcdbce, 0x18124250, 0xbaa53e06, 0x77f4b94d, 0x200db138,
+    0x954066d8, 0x961664f9, 0x3a9bfc34, 0xc966ea9e, 0x2f26c1a5, 0x5ca5b53d, 0xb5ee1cc5, 0x56ba5a19,
+    0x6ff08bf2, 0xa3e8a38c, 0xad4a0f8f, 0x1577bb5c, 0x9f4c8e5a, 0xb24f21cf, 0xe1432e9b, 0xc59b30e4,
+    0x5883ca16, 0x9dd93ec3, 0xde1522e7, 0x3598f4a6, 0x36d32670, 0x2a3d6d5d, 0xa4edb5d6, 0xfa4f00bc,
+    0x19617b1a, 0x63ff2eca, 0x195d7d14, 0x3a4fd254, 0x23f21d74, 0xd9f0d027, 0x837f7cf5, 0x449fab4d,
+    0x6f7031f0, 0xeab2e5e3, 0x8aee8eb4, 0xab387f82, 0xe3cf1c2e, 0x716de177, 0xf91cf361, 0xf2db1cf7,
+    0xf33f84d4, 0xb032138d, 0x20b0df3b, 0xaf528929, 0x642cb784, 0xdeb4b990, 0x4daf4599, 0xf6296981,
+    0xcc395bbf, 0x5cddd3dd, 0x8eb990ad, 0x37115a5a, 0x24f0d84e, 0x634ff923, 0x2c3ebd65, 0xedc73549,
+    0xde41a2bf, 0xbbab0928, 0x364ede23, 0x96b15fd8, 0xbc5509a7, 0x18d3dfbf, 0x0cfb25e6, 0x2e085a5f,
+    0x7f1d0b64, 0x378b68c9, 0x536d181e, 0x36bee787, 0xb7e0cb20, 0x3967dca4, 0xea4e3f98, 0x24ece5fd,
+    0x8a609b1d, 0x5ef8b114, 0x85bd3dca, 0x75d60031, 0x1be30a37, 0xd38f58fb, 0x70a5c16c, 0xe7da9e80,
+    0x53090bcd, 0x928a1443, 0xecc5c1e5, 0xae3d4059, 0x8be9ee00, 0xbec8d552, 0xec4ac4d7, 0x95836e1a,
+    0xa91ba4aa, 0x1ee00a1f, 0x9156cfbb, 0x9b9821c9, 0x4d736306, 0x63999c54, 0x85971762, 0xef53660c,
+    0xcfc204b0, 0x3e61e521, 0x2aa85c7a, 0xf09846b6, 0xd96137fb, 0x47d4ec4e, 0x3ca20477, 0xf3d5431a,
+    0xd4fa3024, 0x58e16369, 0x4399ff87, 0x450ed863, 0xc6034c77, 0x050d2ffa, 0x57ab2b50, 0x12b8a26e,
+    0x745e9be5, 0x3d76a281, 0x97a54f4f, 0xf82498a7, 0x3caed73e, 0x1fd593c3, 0xea6290b7, 0x1cc7edc8,
+    0xdad39671, 0x652d773c, 0xab70f9b4, 0x973b728a, 0x794d4c70, 0x744cdcd9, 0x7438f06a, 0xab08a6b1,
+    0x2354509b, 0x64c7dc70, 0xb0f32640, 0xade0b03c, 0x0ee2e752, 0x6b12969b, 0x79d6cf10, 0x36c1b59d,
+    0xdace79d6, 0xa3d2e35c, 0xf4144ebe, 0x6945e356, 0x4de852fc, 0x47b91143, 0x59794f29, 0xc081f73d,
+    0x18b66018, 0x628b3d6f, 0x3596c78c, 0x8b7561e8, 0x07db849e, 0xf9790cba, 0xbd359108, 0xbc2bee1d,
+    0xac044313, 0x1f3736e5, 0xfcb3821d, 0x4dcc1ef9, 0xb18140bd, 0x3fef101d, 0x559ecdb6, 0xb6ff0446,
+    0x169715ad, 0xeed2b4c4, 0x1909d08a, 0xd76dbcd7, 0x292e5b98, 0xa119eec4, 0xc8639b5b, 0xce66d597,
+    0x906fcb87, 0x3a9bddb7, 0xe1915173, 0xd3701e5d, 0x3592cbfd, 0x3f0b0bd8, 0xf5bf50dd, 0xb0a7dc13,
+    0x37a9394f, 0x2d586bca, 0xc34283e8, 0x735e336f, 0x101a3ac1, 0x1fa1710d, 0x25f98bcc, 0xc16f6132,
+    0xb8e861df, 0x0e1a1077, 0x6a5ec917, 0x4b48fe5e, 0xe328e977, 0x24160859, 0xbbfaf625, 0x90a6b302,
+    0xec03ea6d, 0xa318aa40, 0xe3888a1d, 0x64882772, 0xc0a4869a, 0x04a7cdb8, 0xfd4a4b43, 0xd31f1625,
+    0x620e0500, 0x2e08e149, 0xec6ffa5a, 0x11a07be2, 0x0717ce1e, 0x9249fe8a, 0x53682e3d, 0xd98a7938,
+    0x4540bcbd, 0xd8ff4aee, 0x83c3facc, 0x74b1a41a, 0xd3f48c21, 0x26c973b1, 0xd872da85, 0xe20ea229,
+    0x48f639ca, 0x8be85f6e, 0xe037fa65, 0xba537751, 0x8025b8fe, 0x534e3221, 0xd13794c9, 0x3a2a5573,
+    0x958ff521, 0x229ed3ab, 0x56c3ae68, 0x6d044c69, 0x09b30d54, 0xd9fd6018, 0xe1ce113d, 0xc1200518,
+    0x674370ed, 0x24d73297, 0x009b60aa, 0xb444d88e, 0x57138f34, 0x08409a23, 0xc9af857c, 0x6f50bce1,
+    0x1c16c33b, 0xc6c3f89a, 0xf4852676, 0x5a8f6cf5, 0xc6693a08, 0x7b5992ea, 0x32b6f787, 0x286859b1,
+    0x704b4181, 0x6d66a9b0, 0x6173d00c, 0xa013c4a7, 0x4b2d82d4, 0x8d511710, 0x118d5ef3, 0x9587a1f5,
+    0xc1678483, 0x1f50ebf8, 0x3f3f320d, 0xaeb68696, 0x3f6945af, 0x6a7bd162, 0xf042a1fa, 0x09b1448c,
+    0x6a9f4020, 0x51fa1106, 0x9dd93b04, 0x206a0614, 0x24903c82, 0x8a12b9a4, 0x13bb3bdd, 0x8ec275bf,
+    0xe2abba82, 0x7c16f638, 0x8696b34d, 0x3a5b2ed5, 0xaf8ff8e6, 0xf04fdc7e, 0xac98e3a8, 0x1eecb9f5,
+    0x88607866, 0x21bcccb0, 0xd523bc5d, 0xec7fdd0d, 0x69d76dcf, 0x5f2bc331, 0x4af2a492, 0x4c4b4205,
+    0x97e558b2, 0x171b9628, 0xf0fe32b6, 0x5cfda606, 0x3422aa19, 0x5eb4c25f, 0x3268d763, 0xe63e50f2,
+    0xb0b353e9, 0x93277f63, 0x91d5f349, 0xd6958ff7, 0xf0e5b689, 0x2d0b3f3c, 0x72c7efca, 0x18bc2a1d,
+    0xd7d61488, 0x1f757aed, 0x8d1659bc, 0x5e51e09a, 0xeaa57bba, 0xf75b7218, 0x9680a344, 0x9ee1055b,
+    0x3032fdf5, 0x8afdec45, 0x5c3db275, 0x0efd3576, 0xd8350e95, 0xc5187e89, 0x152f783f, 0xa342a948,
+    0x69b66915, 0xc9019b3c, 0x53cb84ce, 0xdaf615a9, 0x7de67bc4, 0x52d2ca96, 0xf3f11cfc, 0x7e12a4bb,
+    0x26b57cd1, 0x8bb7b5bd, 0x5e0ae1e5, 0xe909c9b3, 0x5c990f60, 0x6138e0d7, 0x6d73bc96, 0xb049ac63,
+    0x18d1deba, 0xa2f51502, 0x73fb1f98, 0x327e1e3f, 0x5ae8c2c3, 0xd5c2ea75, 0x6b51fc01, 0x05c140a3,
+    0xdb5438d5, 0x1b8dd0cf, 0x46171917, 0xf3e061c2, 0x9ca9c683, 0x555210b8, 0xf7b8beaa, 0x4bdb0e2e,
+    0x086ee76d, 0x11a5d69d, 0x63bb4abe, 0x14668ebc, 0xe3d18c51, 0x60176edf, 0x70739359, 0x3d881872,
+    0xdd0ab2de, 0xeb931f0e, 0x3d9f613e, 0x5b696b38, 0xbee2f71c, 0xfbb94d5c, 0x30f78f77, 0xb50d52a9,
+    0xfdb7c754, 0xb91b2183, 0xe1efd3e7, 0x9f60a44f, 0xede3a610, 0x012fa7c9, 0xc6557612, 0xd392e2e9,
+    0x54fd8351, 0x7adead1d, 0x90234c26, 0xf3c9ab22, 0x680b17b3, 0x786814e7, 0xf6ef9fc9, 0x126c5e57,
+    0xfafff93a, 0x03786357, 0x7814fdd3, 0xfc2418d0, 0x20df30f9, 0x9d74686a, 0xf014cc97, 0x9c12abcb,
+    0x05dff384, 0xdb5b7c98, 0x95bbae58, 0xfccc9379, 0xf882c6d6, 0x2ac5ec25, 0xdb7e83b6, 0x5df27aa0,
+    0x09aa05b5, 0x3eb67d41, 0x49b8f2c4, 0x8937212b, 0xf83b2d92, 0x6240ed3f, 0x8f8d67cd, 0x713ed6d4,
+    0x60ffa2ed, 0xba7181b5, 0xe6870c9d, 0x6eb27074, 0xcbbe6d1e, 0x860bddde, 0x8da15455, 0x177bd4c4,
+    0x6fb8f44f, 0x875248d0, 0x6e02f6ca, 0xbc072569, 0xd99acc75, 0x2d77ce84, 0x62e8edc1, 0xa598dbfc,
+    0x67928946, 0xd3373d7f, 0x38d18453, 0xeb0543f2, 0x5a5558ed, 0xbf7622fb, 0x990fe99a, 0xb1c5e362,
+    0xf604e8c0, 0x8ba4d089, 0x8d6ed9f8, 0x6b420753, 0x5bdb52ce, 0x44f31911, 0x513759d2, 0x64070f56,
+    0x96c7e55a, 0x1eef7921, 0xa6ac37aa, 0x5a4a7bb6, 0xb65232c5, 0xec60b802, 0xda2a51b0, 0x4fd5db63,
+    0x2ca31c09, 0xa5c1dbb8, 0xced44d52, 0xf15f37bc, 0x705de5db, 0xc8f7c431, 0x14e47b06, 0x9929c8cf,
+    0xdb92e87d, 0x967fbd6d, 0xb4bc7bbf, 0xa34f0b0e, 0x55035cc5, 0x0c47f5cf, 0xd7ba65a0, 0xc691561c,
+    0x6ee583d5, 0x5113bcde, 0xffe9a062, 0x1a35ccbb, 0x1564ab71, 0xd2796363, 0x7e479336, 0xf07496bf,
+    0x2ec5a12b, 0x1ee603f1, 0xc41e0413, 0xcfaa1c97, 0x4ceb51b2, 0x51cafb11, 0x2f5d9711, 0x90f68ec4,
+    0x0ea350f5, 0x57532b0b, 0xebf24f7b, 0xc683ca4e, 0x46d3ab3a, 0x1f01139a, 0x779d522c, 0xdead4bb5,
+    0x2df86adf, 0x49b583c0, 0x3bf1b469, 0xf661d0d5, 0x6e44d3de, 0xb5306f33, 0xd8074830, 0xf75e63cf,
+    0x3e345ea3, 0x8e7d8ccf, 0x243803ca, 0x6dcb97a5, 0xbca8abb1, 0xc6f6b486, 0x4cd561c7, 0x41d8e9d8,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000018446744073709551616 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f097, 0x9a3715fb,
+    0x00000000,
+    0xbe3cad40, 0x55dd8008, 0xc41de3fb, 0xc00d840c, 0xb0df964e, 0xa4ccefa5, 0xc2a4d9d2, 0x820f225a,
+    0xa6dc7f78, 0x5f2a2069, 0x3c7b5710, 0x12b5d92a, 0x3a6be5b6, 0xad194986, 0xe99a2e00, 0xc5768321,
+    0x4b916bc2, 0x37044f8f, 0x3a56d668, 0x43a4e0c8, 0x38c5d855, 0x64c7098e, 0x2990e639, 0xa9647dba,
+    0x560f2980, 0x60cf40ce, 0xf1b71735, 0x4e5217aa, 0x490a957c, 0x8c37b031, 0xcb679354, 0xcbd9755b,
+    0x9151abf5, 0xf0c741b9, 0x769afae8, 0xcc25172f, 0x682c01d9, 0xd863440a, 0x059f7c0b, 0x7bf9998e,
+    0x82d38aa5, 0x84560471, 0x68df1e8c, 0x4a7d0a51, 0x03edcd51, 0xed4dbc35, 0x5da243d6, 0x40ea1d79,
+    0xf72da3fa, 0x2131ac99, 0xe9d1590f, 0x81f660f8, 0x7581d71e, 0xeeb8e172, 0x0538b2d5, 0xfd168e3b,
+    0xe06775a1, 0xdb1927b4, 0xe2ffbd78, 0x4034cddb, 0xf557d5d2, 0x22b8ce86, 0x6b5bb340, 0x238d4734,
+    0x58d2d970, 0x9438c04d, 0xce11e329, 0x375a086b, 0x42bc4cba, 0x150f9adc, 0x7bb1239d, 0x63c20d5e,
+    0xf7959cdd, 0x07eba980, 0xd7bd8899, 0xc74bc24c, 0x99790ba9, 0xf93840df, 0xdf754f3d, 0xb95f3f40,
+    0x24b31787, 0xa154d23d, 0x56a39cd8, 0x4a10db6d, 0x7493ec0b, 0x138ab87f, 0x2e037edb, 0xdae3840d,
+    0x45aa9bab, 0xeb283c43, 0x73c45caa, 0xb542cd32, 0x9e73183a, 0x29f9bd40, 0x7f7abf62, 0x2b7c07a1,
+    0xfb8b554b, 0xe4672d3d, 0xb65d050a, 0x36355618, 0x1704754d, 0x6d6fb0b3, 0xed0ed778, 0xcddbfb9a,
+    0x2072c9b2, 0x5aef59c1, 0xadd03d46, 0xde827940, 0x37baa834, 0x86dcae44, 0x40915a80, 0x3033be45,
+    0xca11cd22, 0x8956e72f, 0xa97cc081, 0xfc2847f7, 0x733f3856, 0xfbde7db8, 0xdcee8482, 0x4d44d636,
+    0x29eb4251, 0xc3e9d4a6, 0xb7803969, 0xaf58902f, 0xed25f68c, 0xdb926980, 0x5fc9a8b7, 0xcd0a84a7,
+    0x3bc13d26, 0x540de664, 0x660178a3, 0x12312b88, 0x9214d793, 0xc881a7d7, 0x96db04c7, 0x1f87eb8f,
+    0x3fa2194b, 0xd9ef1c79, 0x4bf1954c, 0x59ece37b, 0x8c4d0514, 0xba8e6060, 0x9290396d, 0xb82149bf,
+    0x57d47076, 0xe45556f4, 0xdcf44429, 0xc69ea40b, 0xa6017feb, 0x760fbf15, 0xb5fa6c58, 0x6d132f1c,
+    0xdbff7b6c, 0xbda24fa1, 0xe2202e04, 0xb0f59f36, 0x5f7a1ec4, 0xe7e5846e, 0x50f1ad49, 0xee732ac5,
+    0xbfe17096, 0x3593259e, 0x5032f74b, 0x2e055871, 0x746081b2, 0x15c996e1, 0xdeb81cbf, 0x2138f7d0,
+    0xcbf906b0, 0xd3dfa36f, 0xc8e7d952, 0x79a7dcbf, 0xaf9d4830, 0x0028105f, 0xb764efbb, 0x5a0de443,
+    0xc9636d56, 0x6d604770, 0x7fd4bca0, 0x06acdbf1, 0xe1f5e048, 0xda36f9db, 0x1c23de28, 0x11285994,
+    0xec2180cb, 0x03145381, 0xd24d079d, 0xe5c7af2d, 0x03c83417, 0x8f792f30, 0xf7284d3d, 0xb535a48f,
+    0x676ffbc6, 0x7ad007ae, 0xbacd3e96, 0x99322a21, 0xdaa1d807, 0x0ea2094b, 0x85eea9da, 0xdfa8fa7e,
+    0xa59daffd, 0x2c42de84, 0x697a6f71, 0x3fb8116a, 0x0c488c2e, 0xa70428ff, 0xcc869ef7, 0xfb00a9e5,
+    0x8cde406d, 0xbb7ed141, 0x206a0502, 0xe0acf5b1, 0xbf923835, 0x4f22007e, 0x3272dd5c, 0x907ad0ce,
+    0x2a08596c, 0xa4b85fd6, 0xee20addc, 0xc4bdb7fc, 0xf2678833, 0x071c7602, 0x4a3c326c, 0xb9d17944,
+    0x9d1bf7f3, 0xb5eb8282, 0xc17bf56d, 0x833ac212, 0xb7983b3c, 0xae25ac4e, 0x5bea4437, 0xc1dd73c5,
+    0x4507198f, 0x06a5f3ec, 0x927688a5, 0x33ef1018, 0x4f749096, 0x01d04df7, 0x8900278e, 0xcd0b5de6,
+    0xb0b98e4e, 0xad19d960, 0x7ce7f401, 0x00a6e601, 0x3035fc90, 0xc0c4c831, 0x77734cc3, 0xdc14b2bf,
+    0xdc21ac11, 0xbd489923, 0x20a3ef5e, 0x6c7d1828, 0x1204343f, 0x93a7d46d, 0xb1a93623, 0x196c4a7c,
+    0x9a158ac4, 0x0f5f2e4c, 0x2aa8313d, 0xa0fee19e, 0x31f5c9b7, 0xbc377593, 0x580cd70d, 0x172193e5,
+    0x90b31db0, 0x5db2c500, 0xd67860f3, 0x55b13a42, 0xd97cee8b, 0x9edbd8fa, 0x5b64e13f, 0x8bf817fb,
+    0xa3bd44f0, 0xf3cd37e9, 0x9c21738e, 0x60bac9d7, 0xa22ce301, 0x405eac4d, 0x5aca2893, 0xc35575ea,
+    0xa8575bf2, 0xd48a2c75, 0x7d351081, 0x0d75d1b3, 0xc963e902, 0x8f0117da, 0x593cb21e, 0xbd2e665f,
+    0x67dc6ce5, 0xb8dd5165, 0x7ff367ca, 0xe0a27bbe, 0x52f8d582, 0x0526a7b0, 0xb915d938, 0xe0234456,
+    0x3b3ea75b, 0x8e0eea3d, 0x26bacb6c, 0x6f7b8920, 0xfcf60207, 0x388fa35b, 0x5fe1d447, 0xc342580a,
+    0xb5951bcf, 0x729e5078, 0x81235309, 0x94a5225e, 0x069eca9a, 0xb9dc4068, 0x57429c82, 0xf650c32c,
+    0x697f5f83, 0xa74cd5e1, 0xda690ceb, 0xead5b6f2, 0x63da5fdf, 0xf1d83947, 0x773cbf3d, 0x99761d39,
+    0xcaa3930c, 0x7b3e278f, 0x3096460f, 0x367b5746, 0x0ff99351, 0x0d3a2f29, 0x05169f1b, 0xc45f48c3,
+    0x8ac8639a, 0x0c5c17c1, 0x6f23a2d1, 0xdc0ae3d9, 0x6eb46bce, 0xd9b1cb70, 0x7d96165d, 0x7f64bb08,
+    0x1148fc98, 0x663d1985, 0xea30d05b, 0x3bfeafa8, 0xb2c7aaaf, 0x7cb490f3, 0x8bd4c70f, 0xdc5e023a,
+    0xf7cd78d8, 0xb8044568, 0x703bb54c, 0xad8d27b2, 0x1b229226, 0x8ae4a55e, 0x5c2738e0, 0x04bb528b,
+    0x0d820176, 0x5a05340d, 0x3ebdcd26, 0x53a160ff, 0x88e658c3, 0xd03b1ae6, 0x7c5323c7, 0xe7ca5b6a,
+    0x49f645e8, 0x8c4b0457, 0x2fda31fa, 0xf9aef64a, 0xe3c65651, 0xf63250d7, 0x079f410b, 0x28253978,
+    0x84ae0476, 0x0684d57e, 0xa5e2b634, 0x6914d529, 0x0332a4de, 0xe6819418, 0xa66b99d4, 0x91fc7328,
+    0x356a5ca1, 0xeb36f41f, 0x27f5c9b5, 0x1b7f4902, 0x505f93ce, 0xd67e4ed2, 0x51ead126, 0xeb6a47e6,
+    0x911c70be, 0xf88d9be7, 0x01998fa3, 0x23c11089, 0xc754e714, 0xbf3058fc, 0x1badc05d, 0x3f992e21,
+    0x56aaa4dc, 0x1cc119f1, 0x1374ea08, 0xe24cacf2, 0xf19642b1, 0x619fb45d, 0x486301ab, 0x5722acbc,
+    0x74244ec9, 0xe5e1c0ba, 0xb03f9847, 0x4c111dd8, 0xb131f2e5, 0x45eaa00c, 0x5ba89af3, 0xdf0aca96,
+    0xd25502f0, 0x218f37e9, 0x3d8a8c7d, 0xc4decca3, 0x3f575968, 0x746927cd, 0xa8d02ab4, 0x49ff9773,
+    0x9e10e632, 0x5bbe1c84, 0x31c26a79, 0x198d7e82, 0x02b62fa9, 0x02f56eb5, 0x21894678, 0xdd0f3b32,
+    0x4c0054ee, 0x4d6d618a, 0x1383c276, 0x758dbc55, 0x29d9e432, 0x5d7944f6, 0xdbdea02f, 0xa13b66ff,
+    0x808ec518, 0x2fe27459, 0x55a9c52d, 0x7042fe4c, 0x31aa3e10, 0xbb8fd6e8, 0xd4f6d207, 0x5847a102,
+    0x0e473310, 0x5c670882, 0x5c7988a1, 0xdae071c2, 0x380fb5e7, 0x78029eac, 0xc6dcca93, 0x796cbb22,
+    0x802adbd4, 0xda7a858b, 0xb840a25d, 0x190b57c8, 0x0a6cf62b, 0xe25525f5, 0x7a8fdb5d, 0xc7946c51,
+    0xc0ac368c, 0x6d045152, 0x14ee810d, 0x9862319b, 0xd71806a2, 0x22f99278, 0x40597a21, 0xdb632801,
+    0x38ade562, 0xbc1d50be, 0x2b35d697, 0x77626038, 0x4cf80e9c, 0x0afc29c4, 0xedb666ec, 0xf7a8a9cd,
+    0x155392ce, 0xc0184ef3, 0x9d583667, 0xdec0b40c, 0x2b5029ec, 0xf4235d40, 0x97ffc90a, 0x6bba5d43,
+    0xa5aa37a4, 0x621a9c6f, 0xbce1754a, 0x71237a6d, 0x5df58940, 0xc8823796, 0x5e20ddcf, 0x089beb73,
+    0x1a787a3e, 0x11a0224b, 0x35945772, 0xab25c68e, 0xf047d6c2, 0xd09dea6f, 0x517e745a, 0x5bc742be,
+    0xeb19d33d, 0xff2e9ad2, 0xaa7d6c41, 0xdca4b994, 0x2eeb3c3b, 0x3c3e8b97, 0x8ec3e29f, 0xcf885cd6,
+    0xfe8f9ce4, 0x528693d1, 0x295a5f6e, 0x2fa9d2ab, 0x1890911f, 0x17c96932, 0x8c48ad8c, 0x6b39b20b,
+    0x62a82d76, 0xcc2b96d9, 0x57dba612, 0xe9279e3e, 0x01fc0e85, 0xbbd2300f, 0x9344b78b, 0x0d75a395,
+    0xaede87f7, 0x890e081e, 0x4f401ef5, 0x1008a07d, 0x06e764e3, 0x6f76a2e6, 0xffd0aa5d, 0xa80c796a,
+    0x1b96fcae, 0x5c84c9c1, 0xacea8c67, 0x64c4c340, 0xb4983b85, 0xee35570b, 0xaa427e8a, 0x2d955030,
+    0x557e2434, 0xe45794f2, 0x83275801, 0xaa2314d7, 0x73ac5add, 0x34b5408c, 0x1b1beba3, 0xdbbecc02,
+    0xfb230f46, 0xec43d854, 0x79c763e0, 0xaf5088e8, 0x8bb18046, 0x91605d70, 0x7e9e95b9, 0xad00f5ea,
+    0x00ee2142, 0x35a984c8, 0x458e0b2b, 0x412afeb6, 0xbe0a7b5d, 0x81d7829d, 0x11db4786, 0x7e74c486,
+    0xf72f0356, 0x96f1a313, 0x1de849d0, 0x16cb4fea, 0x8de96f65, 0xf303d02e, 0xea906126, 0x4471fdc6,
+    0x98082ea3, 0x358f718d, 0xf3cb659f, 0x9e63cc44, 0x3b0cba0b, 0x46bcceff, 0x5055e143, 0xdc9430de,
+    0xc02aa866, 0x62896e4f, 0xa0912c04, 0x2de8c338, 0x03cb6fe2, 0xfe9e4fe7, 0x42b39b35, 0xf8f22e7a,
+    0x25699990, 0xbf8f65a3, 0xd5bf41f4, 0x1c9f9950, 0x66fa21ea, 0x563bf8bf, 0x7198527f, 0xe5f53562,
+    0x93444e0e, 0x6edce488, 0x72f85662, 0xa5a6f07e, 0x5417829e, 0x613fb774, 0xcbfce10f, 0x82ec01c5,
+    0x2c3b8ea0, 0x7fe96e99, 0x98b5cc44, 0xf51c93c0, 0x9693195e, 0xfe0987a9, 0x8edd2ff6, 0xe2bf82b2,
+    0x00c78d5b, 0x83e60452, 0x02d77c3a, 0x07b3fb11, 0x50162c04, 0x270b1f09, 0x183714c6, 0xf19ffc36,
+    0x421cffb0, 0x91314cf5, 0xee50a1be, 0xbdce3234, 0xac97e382, 0x317d753e, 0xa00d8d7b, 0x9b0595b5,
+    0x686def78, 0xd55e4a1b, 0x5fb63ccd, 0x4fc31b3c, 0x35a77b63, 0xd247851c, 0x186cce17, 0x4a644ad7,
+    0xbf7a41ad, 0x40a08500, 0x5ab90095, 0xc234f3b6, 0x2b51a203, 0xc3ebbe11, 0xc7bd3846, 0x2cf83a62,
+    0x738f2d42, 0xebb184b8, 0xe8975f3a, 0x527d9236, 0x0c43a15e, 0xd51f2609, 0x43a170c8, 0x2eadda78,
+    0xd8ed659b, 0xc3e30518, 0x2371f963, 0x3e4e77c1, 0xc81af9c2, 0xe3421ad0, 0xf0b9e60f, 0xbedd9ede,
+    0xfd9458d6, 0x1eec209f, 0xef831ff5, 0x6a21a615, 0x115aaad5, 0x6a049312, 0x3e7fdaa9, 0xca68a2df,
+    0xbedf1c1e, 0xed148b5f, 0xc21b194b, 0x17280cd8, 0x5574d397, 0x3f9c4f82, 0x012b3d9d, 0x1416f3ee,
+    0x837498dd, 0xb805432d, 0xbd64749d, 0x888b8bb6, 0xfb826287, 0xe94a00ce, 0x97bca720, 0x0c3ee71f,
+    0xf304946b, 0x61cdea24, 0x2421e717, 0xf51a4ce2, 0xe2cb4dd7, 0x95e16203, 0xf69e3747, 0xa86595e7,
+    0x9c514dd1, 0xf2eec1f0, 0x5fc2975e, 0x63ee4ccb, 0xd6de21ba, 0x9507770b, 0xd96109f6, 0x1a6c8a4e,
+    0x783d7d3b, 0x61237d3c, 0x7395d368, 0xefd20b4f, 0xc4f717c4, 0x09133def, 0x1a36756b, 0x6761e902,
+    0xf4bc48a3, 0xe6d4492e, 0x345cf203, 0x5933cacd, 0xcdfd0aa5, 0x5e5de677, 0x82398669, 0xf69510d5,
+    0xbe357ced, 0xe25b6bd0, 0x53afa136, 0xd9b46c98, 0xa9c9688f, 0x83555133, 0x7e155869, 0x09ac061e,
+    0xfbe6acf9, 0x8d7cd33e, 0x4d608d9a, 0x3be5226b, 0xc8bc101e, 0xbe79b741, 0x580ee663, 0x1f1429f9,
+    0xe54b10ec, 0x59cdc549, 0x5bc6be54, 0xf8d50212, 0x9f01dd41, 0x3943e17e, 0x2d921ddd, 0xe3a2abeb,
+    0x8eaa4f62, 0x4e8b270f, 0xa1e8f112, 0x5ff4f041, 0xea0831e2, 0x37e24c49, 0x6b729918, 0xa5b9ccb5,
+    0xfbe72f73, 0x8b506dfd, 0x9d9af5e0, 0xf173ec1b, 0x1dfa87dc, 0x05493c4e, 0xc30c5b69, 0x8c8e60c5,
+    0xec674885, 0xa0ba5ba5, 0x98249ffd, 0x1ba47e91, 0x63a41805, 0xdce88b1f, 0x4c6c960f, 0x6a0f49a7,
+    0x1af2ccd3, 0x10d237d5, 0x34d3c0b8, 0x9e5f38f5, 0x1c3efdf2, 0xa7578e21, 0x454161e9, 0x3416d050,
+    0x29568124, 0x62376add, 0x1433d692, 0xbacb7aee, 0x06f49267, 0x58181d63, 0x24c3cb54, 0x87ae2eb1,
+    0xaddefd33, 0x3635b06e, 0xcdfcc9d6, 0xe16cfbaa, 0xbabbc4f5, 0xa6357923, 0x607d467f, 0x8683c640,
+    0x91ef1f41, 0x6ba79c46, 0xead48abd, 0xefce9a9d, 0x0b659423, 0xadf4ab3e, 0xc75d0754, 0x1af21893,
+    0xe277d606, 0x6425091e, 0x00f3398c, 0x277c1f68, 0xd187c02e, 0x9962f974, 0x6cfedfe7, 0xe037f12f,
+    0x1c30b588, 0x1e8ffb16, 0x7fe530f2, 0x38e09b10, 0x450a97cc, 0x90dd559e, 0xc925eea8, 0x11749212,
+    0x3138a5f7, 0xfa22d5fb, 0x864707a0, 0xfba6e471, 0xba6c0c62, 0x74c9b74b, 0x084128dc, 0x780e1146,
+    0x3215d830, 0x188b0fc6, 0x3aecb9fa, 0x73c61dff, 0xf34ce76c, 0x58e225ab, 0xf49250e1, 0x6b0cf4de,
+    0x5d410ce0, 0x8aafb76a, 0x10340c2a, 0x30d8d3e3, 0xb5654632, 0x411e5647, 0x754030f1, 0x2bfe60c6,
+    0x8967b729, 0x22cad549, 0xbc5676bb, 0xee11621d, 0x6551212d, 0x0d11504d, 0x8e46decb, 0x3b5c9775,
+    0xfd41578a, 0x0fd12398, 0x238bb016, 0xabc6002c, 0xa3eac94a, 0xbaf556e7, 0xef37ec31, 0xc53a7e37,
+    0xc04c9b48, 0xa2519287, 0x524c1214, 0x2fa68708, 0xd45e1d64, 0x534bd824, 0x41023510, 0x2c85c333,
+    0x329459fd, 0xdf0f7c13, 0x4dd2d3dd, 0x49c3ce4b, 0x9bf87993, 0x2deac6ef, 0xaf7fff63, 0x52c6becd,
+    0x848d9d67, 0xece705a7, 0x65b8c5f9, 0x912cf443, 0xf4290189, 0xe59c162c, 0x8552fbb7, 0x716af622,
+    0x80acfb73, 0x382c3d65, 0xc8a762ee, 0xe6c5c5c2, 0x6bb8dc6e, 0x806bc867, 0xd831f8fd, 0xd30c995c,
+    0xe742c250, 0x9441ac52, 0x87698a75, 0x890dc6b0, 0xa5f6372f, 0xd39a62ba, 0x8efa7828, 0x778c4db9,
+    0xf364b984, 0xada91882, 0x5d7deab8, 0x2c9a993d, 0x54b0705f, 0x6d757670, 0x7d4c081c, 0xa83f41d5,
+    0x54ba450d, 0x2c1b8700, 0x243b4596, 0x8a5ceb30, 0x1e69bdba, 0x29cf7e39, 0x0c99646a, 0xa6c224f0,
+    0x4e921376, 0x1f54ad9a, 0xf16c4e19, 0xd4d40621, 0x6bf7ceb1, 0xf4695bf4, 0x6c763cbc, 0xe8b78d13,
+    0x3ddb80af, 0xf25eb6d6, 0x4675a381, 0x892dbdef, 0x9e8bc2e8, 0x7af79756, 0xeaef51f7, 0xe3831aa9,
+    0x32034e88, 0x5a09b6bb, 0xa6783eee, 0x0e6008d5, 0x518e2bdc, 0x6c4cc7dd, 0x804e2dcd, 0x1aedadfe,
+    0x1e7d096b, 0x45950236, 0x093f71e1, 0xfca1db8b, 0x6a3c6ddb, 0x78da763d, 0x946791a5, 0x5bbd48ad,
+    0xf9dbdfa8, 0x7c0dc84d, 0xa818f1e5, 0xdb7670ce, 0xd55d8afc, 0x17ea845c, 0xa97309dd, 0x1989d910,
+    0xe3a69ab4, 0xa61a9ffd, 0x9f2f623e, 0xee2683aa, 0xa77e7ec2, 0xc99673ea, 0x542597ba, 0xb3f7641c,
+    0x8653659f, 0x0be94f51, 0x66cc87ab, 0xc208048e, 0xee8e67f2, 0x7012402b, 0xaf4eb281, 0x5e157aa6,
+    0xe3a51fa9, 0x64223f98, 0x4a805fe1, 0x0f4b413a, 0x010fdbfe, 0x5f82a4d5, 0x9f8d5411, 0x96c8e703,
+    0x43efeac4, 0xf010f9ee, 0xfaff406a, 0x96ce0532, 0xd5ca8ce4, 0xdf5f941f, 0x9f83e367, 0x71ff54f1,
+    0x3186770a, 0xaa67dae1, 0x82504115, 0x640f845a, 0x7f41bb9b, 0xd1853c66, 0xcfd2e8e8, 0x6409ae6d,
+    0x436e2c96, 0xaa5351c2, 0xffb9a34d, 0x52e35cba, 0xde5c290e, 0x934b7536, 0x57797d30, 0x637efa8d,
+    0xf51df455, 0xdf1ed01d, 0xd433b5d4, 0xd6553d0c, 0x1a15c946, 0x92a78f4f, 0xf5d56539, 0xb5886da9,
+    0xccb0668c, 0xa775ef84, 0x5235b81a, 0xd5cc1ac5, 0x63a47acc, 0x551ae56a, 0x7016dd38, 0x8a7f8f8a,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000009223372036854775808 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784b, 0xcd1b8afd,
+    0x00000000,
+    0x9c0bc35a, 0x1712607a, 0xf764460c, 0x96a91f08, 0x3f99da9d, 0x9462fd81, 0x731e8fc6, 0xb7578e37,
+    0x949471d5, 0x338c249e, 0x6a4d0f5a, 0x4a59ed65, 0xb78deacf, 0x7590ecbf, 0x32b774ee, 0xf39ddad5,
+    0xc89cda3e, 0x1cdc18cd, 0x21d9afcd, 0xd070755f, 0xa6131988, 0xb8d3ccbc, 0x34e9e235, 0x6e719cc9,
+    0xd0d78357, 0x5b1e28ab, 0xa606dfc6, 0xb7003c8d, 0xcc6f700e, 0x847cb90e, 0xcd7d970f, 0x1fcb1d28,
+    0xbd80cf9b, 0xde8d4687, 0x83547ea9, 0x9f7540b4, 0x9ecc3ab1, 0xa9c155b2, 0x091ba191, 0x1604796c,
+    0xb1d6d207, 0x65b91bd5, 0xe6e5c8c0, 0xb3f34cbf, 0x43a31a4d, 0x61ceff2b, 0x9f568ff0, 0xabdbd82b,
+    0xfea10b6c, 0x78c951a0, 0x45e544d3, 0x600c6646, 0xb73c5119, 0x63be3e19, 0x0cca3206, 0xb3f9c702,
+    0x90bb5d12, 0xa4326dd3, 0x606dc304, 0x14f8eaaa, 0x857c9753, 0xa34f877c, 0xfba28f69, 0x7ec3910f,
+    0xee5eb04a, 0x935538bd, 0xf52e54ff, 0xbfc970ea, 0x28282295, 0x0ff1ac66, 0xa93c5ad7, 0xf7f95c2d,
+    0x7906cda2, 0x81e26a91, 0xda2466e1, 0x9ac513cc, 0x6a54b07b, 0x55bb0150, 0x299e2d63, 0x9cca2ff7,
+    0x0871e616, 0x70a3bf59, 0xa0729f29, 0x5e76c65c, 0xe43aab71, 0x318fdb9a, 0x227b9dc9, 0xf1f3b48c,
+    0x7cc05ca9, 0x9304459a, 0x0c408757, 0x1ca53618, 0x3424a862, 0xaf1a16cf, 0xadc24f04, 0x8abde755,
+    0x09d7f089, 0x5705dc33, 0xf14f7d66, 0x920f2f11, 0x7d756e66, 0xdbe3639d, 0xcf921021, 0x75ea8e50,
+    0x75e53367, 0xeef2a65b, 0x98c0cad5, 0xd7a8d7c8, 0x1a038242, 0xf7613641, 0x74dc1afe, 0x86b438c2,
+    0x3ff642c2, 0x95781e2f, 0xb6eb9adf, 0xfce253fa, 0x5835e60c, 0xb98a9ccb, 0x9f8ef428, 0x8a0f7fce,
+    0x3288ac57, 0x457256d1, 0x3a9222c5, 0xde4dc3ed, 0x200041af, 0xb590269a, 0x0ff1a081, 0x942183f7,
+    0x7122ac16, 0x96673f27, 0xb5c311e4, 0xe0868896, 0x718a5257, 0x566dc9ae, 0xa3595c1b, 0xd6d10055,
+    0xe3a3352b, 0x5d1e849a, 0xfbf2ba15, 0xd5bc3f82, 0xab867f89, 0x8e9c6f19, 0x685f92d9, 0x624a40a8,
+    0x68aaa5d7, 0x315e66dc, 0x38520216, 0x232da329, 0x704c8033, 0xe12541aa, 0xf63279d9, 0x94437611,
+    0xf7e453c0, 0x727f5b79, 0x6442df3d, 0x313497fc, 0x50dcaa1f, 0x74e84b85, 0xac3cefb0, 0xa1607bda,
+    0x0b01c254, 0x44b0f281, 0x76b98285, 0xa0bb06b7, 0x9a416e66, 0x6300ced4, 0xa9f61330, 0x726f5e3c,
+    0x1e1bf244, 0x7ee7624d, 0x1991eabf, 0xcdb7f3f6, 0x262ba6f4, 0x689fa2e9, 0x1459ae0e, 0x0a65af6d,
+    0x535ccfeb, 0x3ab7510e, 0xb8b4604c, 0xb4ab4f2a, 0xe1405849, 0xc7dd4550, 0xd1406125, 0xf11e41f4,
+    0x66ea92a4, 0x1e0209df, 0x917c0c67, 0x8f8d5ea1, 0x0f45fc98, 0xee0a95db, 0xf5f2a44d, 0x5df5fb7a,
+    0x5339eefa, 0x2bfc1b03, 0xca1845b2, 0xb8e42baa, 0xc5d700cf, 0x6e464054, 0xf5f89217, 0xc603a0d6,
+    0x67e36cf2, 0x81d918d4, 0x68759089, 0xdc7ef831, 0x6c47a8c9, 0xb5d58b4a, 0x9db2e8ca, 0x66d738db,
+    0x76f08d75, 0x5af785b1, 0x138750c3, 0x3014db55, 0x99beb8bd, 0x80c6d3d7, 0xd8716e1b, 0xd0121fa5,
+    0x474b37d8, 0x3c62346c, 0x1bdbb415, 0xd250ce38, 0xf005fc3f, 0xcff5b10a, 0x1dfdbecf, 0x0afcae09,
+    0x2fe08cd6, 0x7b00c274, 0x03e46c95, 0xeb623d05, 0x34753b61, 0xad96613f, 0x6196b54e, 0xa917dd6c,
+    0xdaf1907a, 0x13444751, 0x904afc6e, 0x18b73f59, 0xb491d4a5, 0x56ae11bf, 0x252e67ea, 0x0d5fdedb,
+    0xa0ae07d3, 0x5bb40f0f, 0x15b7eaea, 0xf4289cb0, 0x2593cbee, 0xba0070e9, 0x101cd586, 0xbc60663e,
+    0x02206305, 0x8e01461b, 0x16cf3691, 0x42593c5f, 0x1b1181c5, 0x2d814197, 0x62fedc20, 0x940160cc,
+    0xffd05a0a, 0xfbbce1e7, 0xc4ee75bd, 0x065c66da, 0x1141e409, 0x4fc2d9b0, 0x23f86ed4, 0x4317935a,
+    0x3716ad64, 0x78c91f13, 0x1574aa2c, 0x71f59c67, 0x5dbff7b2, 0xda3e16f2, 0xad019563, 0xc66c6ce5,
+    0xfe91619e, 0xdceed730, 0x56ca7f1f, 0x57728104, 0x9e98fe2e, 0x01a4dea5, 0x625a850e, 0xc10f7dd4,
+    0x3d4f04e9, 0x8a0d59cf, 0x41064a77, 0x0ab6d3f8, 0x4a5ec3d3, 0xb2ce6136, 0xfccb2714, 0x7439ab14,
+    0x397b6270, 0x8ba60fde, 0x3c52bcb4, 0xeecc4383, 0x7dd82bcc, 0x999c7a56, 0xa7e38dce, 0x545ca7d4,
+    0xcbda989c, 0x7bc1b8fc, 0x7a955721, 0x46d5625c, 0x458fb662, 0x1369292e, 0x67effc0a, 0xc35a3268,
+    0x9d3d1da4, 0x6ce90674, 0xb20e83b5, 0xbe8eacb9, 0x89608623, 0xa4ed4c19, 0x13857ba8, 0x8a83d4e1,
+    0x7f407875, 0x97f06025, 0xe684a4ae, 0xba3ed28e, 0xa360e70f, 0x1f629b76, 0xea6add7f, 0x84a7ab98,
+    0x10337a57, 0x14b5259f, 0x72fcfb22, 0x3a73b563, 0xa7503ad1, 0xc4ee16cd, 0x1ee72f4b, 0x3c1a74fb,
+    0x2be736f7, 0x52c234d0, 0x13c68171, 0x3b5af18f, 0x00fe06d0, 0xf2845a76, 0xd9c51352, 0xffe4150c,
+    0x6829d481, 0xc8515125, 0x771317fa, 0xac694dc0, 0x7b67fc14, 0x708a6710, 0x27eb0122, 0x7e3f3667,
+    0xa3324d0b, 0x82214d51, 0xbd923d2f, 0xbb5cb904, 0x55b8daae, 0x3b832c90, 0xa0174563, 0x8370cfca,
+    0x63636fe1, 0xe26db896, 0x028ea464, 0xc6faa548, 0x93f9784a, 0x0e9d2e2a, 0x97a56c2b, 0x1ce6b79c,
+    0xbe1f8780, 0x2c271b5a, 0xeb17e521, 0x92564ff1, 0x696e5488, 0x2f91c845, 0xba1863b1, 0x977942b0,
+    0x2fd0553f, 0x8906f8a1, 0x66a89fff, 0xa34d5ec4, 0x27966348, 0x0522f32e, 0xba756c22, 0x72c81a54,
+    0xc41efdd6, 0xe767a79a, 0x0b83fec0, 0x3f5e3d33, 0xf0674f34, 0x05e17862, 0x0f2f2673, 0x8aa837d5,
+    0xdca3b482, 0x6b7ae5fa, 0xc471711e, 0xf09eeef4, 0x3f025ce9, 0xa7565bad, 0xd654bdfc, 0xa2bb0c40,
+    0xb897edaf, 0xbd0f6b5a, 0xfba11346, 0xa13ee6d9, 0x4dd33ed5, 0x4ec02013, 0x9b63850c, 0x1a87f16f,
+    0xf9addcb0, 0xbd05f7cd, 0x79087e77, 0x87e9e44c, 0x11657e9c, 0x4e93492e, 0x719e71d5, 0xd7cfe277,
+    0x7a48d75e, 0x3fafce68, 0xdf72de64, 0xd5d49435, 0x7319f9a3, 0x52a5832c, 0xce71ddd4, 0x44f42c5b,
+    0xfff7225e, 0x9f82c734, 0xdaa0620a, 0x49d82691, 0xb0cd1a40, 0xc631ef20, 0x03a93849, 0xc362bc34,
+    0x9cb912f3, 0x341ecf5f, 0x1c68532c, 0x4f955c0f, 0x78f50ee1, 0x61b28e4b, 0xf1e998e0, 0x72944dec,
+    0xa4c7de25, 0x36ed25ce, 0x527cf967, 0xb5c52ec5, 0x2bab5677, 0x11cad8a3, 0x1eb30167, 0xf6f24d5b,
+    0x4a697cbd, 0xd87444b6, 0x30a2e9d6, 0x7d093e2c, 0x066c9499, 0x5a11dc04, 0x4143f016, 0xaa65e089,
+    0x80d6ea82, 0x61943188, 0x1dc07e36, 0xb97799dd, 0x7f857197, 0x34bc47d8, 0x43ed4f77, 0xb8e5c0b0,
+    0xc3fc42ed, 0x48b6da72, 0x6714c790, 0xd42fab43, 0x5f69c54e, 0x01777b19, 0x890013f1, 0xe058f35d,
+    0xabcb03c9, 0x06783a10, 0xac9b90e1, 0xf16f6ac0, 0xdffd240f, 0x7a29fc38, 0x5691f3cb, 0x12dd4b37,
+    0x5571c875, 0x381fed4c, 0xb0f6bff1, 0xa99dc8d3, 0x766a9e49, 0x5f032a08, 0x77aa354b, 0x1f0c3018,
+    0xdf0d761f, 0x88270232, 0x14d702a7, 0xb07e7b4f, 0x44e7351c, 0xc169744b, 0x24785ae9, 0x7029c933,
+    0x020517a0, 0xb3578c8c, 0xc41383fd, 0x45bf69b7, 0x2cdebb9f, 0xc5290649, 0xbaee3049, 0xe9f39b8e,
+    0xcd669cbd, 0xde3b3a8c, 0x4d233f2b, 0xda5907ad, 0x6f43ae66, 0xc3147ac2, 0x146b2333, 0xc67417d5,
+    0xb2783542, 0x2f7a93f8, 0xbde626f1, 0x1ef4be97, 0xb2a78bca, 0xfa25e7f6, 0xc0320abc, 0x138a60b4,
+    0x312f013e, 0x3a6a721f, 0x34ce8084, 0x62ed6fcd, 0x33fae75c, 0xb7847327, 0xf9c047ea, 0x8b69db12,
+    0x4984a868, 0x2cfe3161, 0x98071048, 0x2227563d, 0x269369e9, 0x8f9eda8f, 0x1a3a573d, 0x91f5431a,
+    0x94aa647d, 0x1dc2b49d, 0x82497bd3, 0xbf4ac0b1, 0x6ac831d9, 0xbdd67b2b, 0x61cf843e, 0x2c046479,
+    0xd5c86124, 0xc3222b02, 0xa1a32182, 0xf09fef77, 0xc746b02d, 0x54a39484, 0xd6d1ee24, 0x9207dec8,
+    0x1c3a91a5, 0x35b18933, 0xed9ae65a, 0x84bef359, 0x0301cd66, 0xd13e2d50, 0x2b3b3bb4, 0x5ae1967c,
+    0xd721f237, 0x6e70c6e6, 0x6261c9b6, 0xad7cede9, 0xbb30311b, 0x5c376d90, 0x7fa6cb42, 0xf355976e,
+    0x5d3ba0af, 0x9571441c, 0x4963af77, 0x0a777b68, 0x6c57f21c, 0x7b3add7f, 0xe0e464cf, 0xac9aec49,
+    0x04e25cdf, 0xc250e77d, 0x49e1fd72, 0xf068f35a, 0xfa35fdff, 0xa6cdc160, 0xaab416ac, 0x743e253a,
+    0x90eb2899, 0x42fb6f9d, 0x4546d271, 0xe745c223, 0x5da1b4ef, 0xf8cc70d0, 0xa5b749ea, 0x113ca3e9,
+    0x24cc3815, 0x50a86022, 0x1dd5ac53, 0x266e2255, 0xb6cf23ef, 0x15d91d41, 0x7b3796c5, 0x5aba77a8,
+    0xa8b6855c, 0x245461ab, 0x42ed1572, 0x40717fb1, 0x300c0f4f, 0x8f93f2ba, 0x7ac5f3e1, 0xe8142d00,
+    0x8470a95e, 0xc01485c1, 0x00520fbc, 0x628dbff3, 0x5babaf58, 0x3e4360e2, 0xc109bd34, 0x7c29da75,
+    0x8a26e813, 0x640f2ed2, 0x73321e7c, 0xbb1d9b66, 0x3f2f194a, 0x91b89b17, 0xbbdf1713, 0x69a619b5,
+    0xa46419cd, 0x55489d6c, 0x05091795, 0x1b63575d, 0xc86a7241, 0x693b03ba, 0x873aa683, 0xcbed88e3,
+    0x71f76881, 0x8a7a2533, 0x106a8948, 0x13cf3063, 0xc9b16372, 0x9b2d02ec, 0xa6771a05, 0x76331638,
+    0x6f084ff0, 0xfbf65fda, 0x4d1d7367, 0x0ac25a1c, 0x2da2b4bd, 0x5b866669, 0x267f83ce, 0x27a3f1d7,
+    0xfa3813e6, 0x1db0caa7, 0x69bb729a, 0x6dd22405, 0x30bef960, 0x86c97d2c, 0x45254fe1, 0x225ebf87,
+    0x4b1bc77f, 0x26d7baf0, 0x9f63fee3, 0xcd30d7fc, 0x8c990ea5, 0x29015e73, 0xccf53454, 0x26b5e1bd,
+    0xa0715f65, 0xc0f2a62d, 0x0344cd01, 0x67230e0c, 0x17faffa8, 0xdf9b380a, 0x60bec6ef, 0xca92b942,
+    0x458952ff, 0x9cc8a1cf, 0x2218b9fc, 0xa597f0c7, 0xedf87f37, 0xf18ace64, 0xe2fe2cba, 0xfdfb33f6,
+    0x2836398c, 0xa014606a, 0x9e73e051, 0x02247e87, 0xbc4fa9a9, 0x64ac5a19, 0x02ebd302, 0x4e15627a,
+    0xaf52a5fd, 0x87a0d4c4, 0x1d0481c4, 0x4076b368, 0x6ae42f68, 0x6d6edf1e, 0x3ca18dd0, 0xe5e1c970,
+    0x1ec4a270, 0xb48a8140, 0x26df6dc5, 0x527dbffa, 0xc7c8e231, 0xea13837d, 0xc620dda2, 0x956d1bd7,
+    0x012d30f1, 0x2583de39, 0x4e013045, 0xa2bd7b47, 0x9ea85f64, 0x74efe834, 0xe1189b46, 0x5067889f,
+    0xf990d5d4, 0x9e06f3af, 0x98879cb1, 0x7b05bf1a, 0x06c18005, 0xc81c935c, 0x5de948f8, 0x8a04f55c,
+    0xd993beb5, 0x9dbdabf6, 0xbc21a964, 0xcf43a6e2, 0x144f7d39, 0x6486feb5, 0x5efa9a67, 0xf6f7ce85,
+    0x727e6fb1, 0xf08a742e, 0x46399e71, 0x031396dd, 0x10d7a5fe, 0xf134c3cf, 0xc87f59f4, 0x1a997fb3,
+    0xb95271be, 0x156a3ccb, 0x6691d29f, 0x633c766e, 0x3e23a2c5, 0x391fc0a3, 0xc2b71523, 0x7d8acde7,
+    0x436133dd, 0xe277eb26, 0x71ef9797, 0x129e9dee, 0x8aba9625, 0x4b0c5bed, 0xd543a32b, 0xa4fe5725,
+    0x91a28211, 0x9dc3560a, 0x61f3d823, 0x4ae9ea29, 0x75745aae, 0x77dfc002, 0x0805a4e7, 0xf51d1621,
+    0x63155252, 0x7af0fe99, 0x2494f7a8, 0xc933dcd6, 0xe88b5368, 0xcab32ebf, 0xa3e22477, 0x0e48caaf,
+    0x277aa191, 0x484efe20, 0xd22b62a3, 0xf9b70f0e, 0xaf5db6f8, 0xe0eaaae1, 0x54bfea1f, 0x96e6649e,
+    0x3b511d41, 0x841d53a1, 0xd11b8018, 0xfba73360, 0x219a6e26, 0x7a68f2ba, 0xee341a2c, 0x54c2f215,
+    0x6c0144f4, 0x31367829, 0x4cca7c5c, 0x6281d8b9, 0x509129ef, 0x2860f245, 0x78aa9f81, 0x9133d17c,
+    0x6ec9a51b, 0x2f15a2ac, 0x9f3bb29e, 0x2c26eac2, 0xa7854f5f, 0xf34aff10, 0xf542348a, 0xc63ea922,
+    0x9730e986, 0x6cb4699b, 0x81f24395, 0xb9036564, 0x1b162b77, 0x6a78459e, 0x53c2714e, 0x189a0242,
+    0xea40d9cf, 0xf7982a57, 0x064a44f2, 0xcb60cc21, 0xce9f740d, 0x1a7045a5, 0xee4d6533, 0x921cb55e,
+    0x1e6b3dff, 0x2a86551e, 0x11766f29, 0x7ac3d534, 0x7b60b4b6, 0x0159c545, 0x1627afd8, 0x4cea84da,
+    0x076ee7d5, 0x7e58e6f9, 0xe3579b9c, 0x48d02c21, 0xc4683384, 0x3e822d6c, 0xd0208d63, 0xe9fc6f65,
+    0x299c32d3, 0x8fe9f6df, 0x27bbae14, 0x53b9a32f, 0xad8dc600, 0x92de2032, 0xc77030ef, 0x2d15f807,
+    0x78835dcb, 0xe4d6b430, 0xd528fb46, 0x95b567c5, 0x5a7064f4, 0x7158067f, 0x6811d2bc, 0x67568dbf,
+    0x5a58f94d, 0x6f1ea027, 0x20cdc42d, 0xcafe79e0, 0x8599d4d7, 0xc3d877e0, 0xc23bc505, 0x1f8b4e69,
+    0x217fed93, 0x8c20df59, 0x25fda365, 0x7e3b27d3, 0x23fbe503, 0xba8b4c8d, 0xfdc54cfe, 0x8d25a9fc,
+    0x6e6fa6af, 0xb872bb5a, 0x81ca941e, 0xa71cda5f, 0x87225831, 0xff28d6ad, 0x8ad0758f, 0x138fb2e0,
+    0x19bb62a9, 0x9fa3ceca, 0xa21fd9be, 0xf6c03957, 0x98dc6291, 0xb76a7bf5, 0xf5e93f71, 0x5ad36cc2,
+    0x397979c8, 0x09f44858, 0x582ff72d, 0xb9ad79df, 0xd6e0bb7c, 0x0637151c, 0xd481a048, 0x609c470d,
+    0x251a7ad9, 0x85c1dab6, 0x2b1391f1, 0xbc1f47d3, 0x3a788f12, 0xfb0e535a, 0x432cc83f, 0xe88cd621,
+    0x91a19362, 0x2b19925f, 0x0e24156e, 0xd362856f, 0x853b336b, 0xd0f0a290, 0x4662060b, 0xbc86db4f,
+    0x223253d6, 0xa014404b, 0x751ec820, 0x1173b1fd, 0x6a61a6f7, 0x902437da, 0x470b80ca, 0x6060a501,
+    0x3ffb85bd, 0x24f8741b, 0x9a43008e, 0xabca1707, 0xc1fefb6e, 0x193f2419, 0x8e423bb7, 0x588aa872,
+    0x09c20b89, 0x11553897, 0x9213def9, 0xc8a833f8, 0x46b26b07, 0x0b34acda, 0xb627ac75, 0xa77385dc,
+    0xb04b5230, 0xbabf483a, 0x4fa7eea2, 0xcd2fc790, 0x6887f119, 0xa4608778, 0xc3ac75d8, 0x42b02731,
+    0x25db4d02, 0x34b51f9d, 0x50626e9c, 0xbf5d7d1c, 0xa75e91cd, 0x8ff17f15, 0x90a52a61, 0x50e3a253,
+    0xcb13fea4, 0x8a8146ad, 0xe598aedd, 0xd32b32f0, 0xc7b574d0, 0xad519a90, 0x6e285323, 0x8f287c0c,
+    0x88aa5aa0, 0xa8eeb3e2, 0xc9fa0f13, 0x96d17ca1, 0xc41e2c97, 0xcc55e2a0, 0x85fb2e45, 0x468ab5d4,
+    0xd51ba66e, 0xa9958950, 0x7bb70fca, 0xb97c9963, 0xa520561d, 0xa0736255, 0x894d9d9f, 0xa539f75c,
+    0x2651e7d0, 0xed901caa, 0xc9789afe, 0x367c8b14, 0x5bf884a0, 0xbbbeda1e, 0xbedc1786, 0x7efbe021,
+    0x36d44226, 0xdb92f0d7, 0x6fd316b4, 0x7895c467, 0x3ec61483, 0x2bba0db9, 0x1e8faa8f, 0xa4f1f177,
+    0xa0102ac1, 0xb169334c, 0xd6562442, 0xdd10b78a, 0xfd455d8e, 0x75dc52d8, 0x435da47d, 0x9f41aa10,
+    0x0701454b, 0xdf335daa, 0xa33fce7c, 0x17da10f9, 0x2eb10aeb, 0xf08d7c8e, 0x5354800d, 0xb069505f,
+    0x6335b7f0, 0x81d1ef72, 0x418dbb95, 0xb357dfd6, 0x07958927, 0xdfd73afe, 0x3a5cdbaa, 0xa37dd5b6,
+    0xb5cc080f, 0x4b47347e, 0x56084d1d, 0x8a631727, 0x532c22c7, 0xa63fa51f, 0x2482d808, 0x400b1539,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000004611686018427387904 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c25, 0xe68dc57e,
+    0x00000000,
+    0x8d543841, 0x6ef6a0ca, 0x031feff7, 0x24557707, 0x08462fa1, 0x77aba78d, 0xb5ed8e86, 0x188a1336,
+    0x7d7753e9, 0x2670b184, 0x28e9a6fa, 0xeac1795e, 0x69106845, 0x2954a454, 0xdf1515b8, 0xb19b1567,
+    0x675703bb, 0x23a697ed, 0x1960a366, 0xa759d783, 0xee4f4786, 0x7f6d2587, 0xc5f18ec0, 0x2cb98acb,
+    0x5180fcb4, 0xb4fd9785, 0xd048313c, 0x2205bf57, 0x478aafcb, 0x09f45742, 0x2b18dccc, 0x13797ca1,
+    0x1a21790e, 0x3a74eacc, 0x09583ded, 0x3f87b873, 0xc7ac92f1, 0x0f637580, 0x3895af90, 0xab0b14f4,
+    0xd28dafca, 0xdbc5a4fa, 0x6c12fd6f, 0x4ddc16b9, 0xe257fc31, 0x96fbc5b2, 0xd64a6933, 0x2f474d72,
+    0x9d983108, 0x2cbdc598, 0xafe80cb8, 0xf67f854a, 0x8cc81475, 0x742da560, 0x585294c3, 0x4d378671,
+    0xf2299017, 0x51d412e8, 0xb56705d4, 0xaa63a10c, 0x9c098cae, 0xe8207228, 0x1c8f1e23, 0x24ad32db,
+    0x9f17258a, 0xaf602e76, 0x74a40210, 0xc86cc091, 0x5d90f39e, 0xb8cccadc, 0x8a166756, 0x2dc29cf1,
+    0x89685858, 0xa7d4b1f8, 0xd028221c, 0x2e4b45b7, 0x10d1f92f, 0xfbf8f71d, 0x2ba500a8, 0x5afa5e81,
+    0x4fdfb44e, 0x9000e646, 0x003f3586, 0xd993e7aa, 0x1a568f2e, 0x084823b4, 0x5779b0d4, 0x212e1f08,
+    0xd31bfc51, 0x09a78412, 0xbe5ff3a0, 0xe4665f62, 0x19a1ebcc, 0x4de311e9, 0x694b1992, 0x00d5de12,
+    0x16717e95, 0x33b7a1b0, 0x32d76184, 0xe13bdaf0, 0xb67be661, 0x20725d45, 0xe14feb4c, 0xf6cc08b3,
+    0x6c281681, 0xb278f37e, 0x79e35465, 0x37e326d2, 0x546db9c4, 0x45113da6, 0x67eb90d8, 0x23d2c2db,
+    0xf17ed94b, 0x9e3d9c60, 0x4e8d9753, 0xdfe1644b, 0xde941c7f, 0xca078e37, 0xedbecef1, 0x3501de38,
+    0xa39f38fe, 0x873be942, 0x3c5b6825, 0x88527241, 0x87b7058e, 0x1a4b6f4e, 0xda25ee15, 0x3dbb3763,
+    0x50af0f34, 0x743146ae, 0xda026038, 0xa341dfdb, 0x28781116, 0x8d4a647a, 0x797406dc, 0xa7bd3e83,
+    0x80330678, 0x36e8a96e, 0x79464dbd, 0x6c365856, 0xbb067332, 0xcbe8c018, 0x05e0fa68, 0x766270b5,
+    0xff306aab, 0xfb5685d6, 0x0da6fc9e, 0x31c8c0c4, 0x5e214d05, 0x8b2919f8, 0x19fa1d9b, 0x19e4c74e,
+    0x7c8d669d, 0x56571994, 0xa88f7e49, 0xb995dd7a, 0xa79f5045, 0x5fdf9885, 0xa0b27eb5, 0x4300a32a,
+    0x4dc49229, 0xae703b9d, 0x8585d6bb, 0x03e188d6, 0x8afd7b83, 0x20e6f9ab, 0x3da8c9d6, 0x5c30c42e,
+    0x2a5f9116, 0xe42a13d1, 0x9fe4d46f, 0xab477421, 0xceabcc2e, 0x630f58b8, 0xf4a28cdb, 0xe07f63dc,
+    0x567b5d9a, 0xc5d09d4b, 0xeb35ac87, 0x4b2348d5, 0xec183182, 0xf0cbfd28, 0x77a14a36, 0xdf32ca95,
+    0xbbd8927b, 0xada40db7, 0x32a59bcd, 0x0c4eab41, 0x51179e45, 0x2585c8bd, 0xa1f2c957, 0x8e6c0745,
+    0xabe629d3, 0x5b69a35a, 0xf90a2ae6, 0xcdf3097d, 0xb52b76fa, 0x36e9a8d4, 0x5d1014f2, 0x27e37dd1,
+    0x53d75097, 0xc666bb2b, 0x824823f9, 0xb22f8d34, 0xae9cedde, 0xa5b71477, 0xf7d8b202, 0x404f4cbe,
+    0x41c8ac04, 0x3d821cb1, 0x5e147c6c, 0xa92a7782, 0xb1269007, 0x2c22e31d, 0x01b8a09d, 0x26f0811d,
+    0x473d5331, 0xa072eadc, 0xdac12bbd, 0x49a3e6da, 0xbcec9996, 0xb9a901f2, 0x9c7b30d3, 0x559557a7,
+    0xb9707d68, 0x5f9869e7, 0x6610a011, 0x7f4a05ea, 0xc8b2bc2c, 0xb9afb770, 0x58f42b99, 0x0deb62ad,
+    0xe6f7ec6a, 0xbcb0442a, 0xb74567dd, 0x597ffe7a, 0x09986166, 0x24a6ad4e, 0x4769d992, 0xf1b4339c,
+    0x7e0364f4, 0x634ddab0, 0x776482a7, 0x9e4a2d46, 0xc8a5fcf1, 0x9a350265, 0xc49058e7, 0xea8dadfd,
+    0x6933a06e, 0x365e1334, 0xddaa5ae6, 0xfe2269cd, 0x54a3e1d6, 0xc9a220e9, 0x3f845e4e, 0x0579519d,
+    0x9de1d49d, 0xaa7e7419, 0x8357f2c8, 0x95537a31, 0x8f5a5e9d, 0xd9f20935, 0x68ebd2d4, 0xe7f8a895,
+    0xedc9da50, 0xf8a7c9ea, 0xa63bbfe2, 0xe3220a21, 0x3c03d5f6, 0x998db9c0, 0x8addbe28, 0x3257c3a4,
+    0xb169242b, 0x63989ec1, 0xf46cdac7, 0xc0fb5d70, 0xf915aa41, 0x2573be1e, 0x20a36410, 0x1fcc3bda,
+    0xc555d7b7, 0x0cda0b53, 0x428da542, 0xcf8b9ca8, 0x475928ef, 0xaa774d85, 0x2aeb23bd, 0xe263b284,
+    0x0c7bbb18, 0xa80b31fe, 0x95732044, 0xf6cded9e, 0x60dff08a, 0xeb6aaa6e, 0xed5aabaa, 0xbacf8759,
+    0x4c0de34f, 0xf79b7915, 0x473cd0ff, 0xf45b3ac5, 0x39204e04, 0xa71bfaa8, 0x74dd4ea8, 0x4cb32e08,
+    0xf0a4a528, 0xd4988895, 0x4124d2bd, 0x9777dbec, 0xcaf4830c, 0xae254f2e, 0xbbae49b4, 0xa4d25ad2,
+    0x1deefca3, 0x80ddd4a5, 0xeaf6feda, 0x25b23651, 0x55676cce, 0xd8bc8e0b, 0xdbccbb1a, 0xf1bfb08d,
+    0xb26ad60a, 0x4a5cb28d, 0x9d7105f3, 0x6f3e926a, 0x5fb72497, 0xa4f6adb6, 0xf908e3fc, 0x2f74b016,
+    0xaf45cea4, 0x81afe479, 0xd9babdad, 0x9cdafc19, 0xccf5aeec, 0x6b10cedd, 0xcac14500, 0x06ac6e1d,
+    0x257c45fd, 0x10ed3c39, 0x6e5414fa, 0x7d0b1432, 0xa9dd225a, 0xeb73e9f5, 0x7d2ad6eb, 0x6998002f,
+    0x96636859, 0x5d8f5c69, 0xe4f1da99, 0xec955ad5, 0x869a87b3, 0x7e2186f2, 0x9020c852, 0x92bb0371,
+    0x12797d99, 0x8ea0fd99, 0xcfabd743, 0x32b97aa3, 0x63d784d2, 0xa9ca8fd9, 0xedd78749, 0xd07c8aeb,
+    0xada038e2, 0x7bd9e744, 0xeae16bf2, 0x9840409a, 0x5b84669d, 0xce396373, 0xa6627898, 0x42d72f08,
+    0x74481f9f, 0x8e71ec44, 0x83e956f5, 0x2403928a, 0x18848fae, 0xafe1c007, 0x43720797, 0x0c2f4e25,
+    0x4f4d02af, 0xa8df9654, 0xe84ff276, 0xc0d09387, 0x44df9097, 0x13d68020, 0x72227997, 0x7ce86cec,
+    0x357f0d41, 0x0ddf25da, 0x5b5ee1cc, 0xfeee4b92, 0x04a2dcd6, 0x16868de4, 0xaeea99bc, 0xf2943fad,
+    0xa37b752b, 0x91262f14, 0xa846ed3d, 0x5857a44f, 0xcb156766, 0x37eec96c, 0x7732fdd2, 0xbf0236cb,
+    0xd9801395, 0x1c521ff9, 0x9fc7e990, 0x13facd72, 0xe000c087, 0xdbda9700, 0xcc7a2a9e, 0xe41a6a2c,
+    0x2e940d7a, 0x3c25448a, 0xdd481815, 0x1ebab2ab, 0x71c5c912, 0x99cd5177, 0x1a05a4c2, 0x10d75f63,
+    0xfc62ece1, 0x88cad4a8, 0x6556dc9b, 0xa7ba27fc, 0xcffdd819, 0xde40f3af, 0x89779051, 0x55d240b0,
+    0x7a7e067c, 0x4105432a, 0xaff9f521, 0x5d345052, 0x33436345, 0x92208320, 0x48d63c56, 0xcf1c196d,
+    0x84d0765f, 0xd9a0c070, 0xb85400b8, 0x9e759da4, 0x86a37624, 0x432430ae, 0x3aa65a3a, 0x107df4db,
+    0x3984c7f9, 0x9b839424, 0x5e4346bc, 0xa4bd0a69, 0x859aa650, 0x50c89ca5, 0x6a4807f2, 0xab73da70,
+    0x523a6f82, 0xf1c23703, 0x67088e0f, 0x551755d3, 0x43f182dc, 0x8e6f365b, 0x2066e3ab, 0xd778e839,
+    0x259ebabf, 0x63c246a9, 0x8f7aef72, 0x8c8fb9d9, 0xa2ed36a3, 0xca48fb75, 0x9902be88, 0xef3a4177,
+    0xe4619aac, 0x487b818e, 0xf2e185ac, 0xc664e6ca, 0x730c6294, 0x3ddcae1b, 0x524d8f40, 0x6dfc3072,
+    0xe9a5de4f, 0xef1105f1, 0x535564bb, 0xc06e1b69, 0x78882573, 0xa9fc7741, 0xc294432d, 0x90282f0e,
+    0x53b672ca, 0xcef0de59, 0xde038a94, 0xc9f4a9c0, 0x3bd343ae, 0x5c2f78cc, 0xdc2bebe2, 0x2a7e3422,
+    0x1ac2b318, 0x611bd231, 0xdac172b6, 0x73359a0e, 0x6a62e213, 0xc282d383, 0x3faf43d8, 0x793cf8ea,
+    0xa1779ac1, 0x893cec44, 0x0e5e7dc2, 0x091434f2, 0x025ad362, 0x204a5860, 0x7c383c84, 0xbc88d409,
+    0xeabe595c, 0x4e444907, 0x6cc68f63, 0xa38062dc, 0x91eba9e5, 0x19d40a33, 0x40957e5b, 0xc588c8b3,
+    0xa7622567, 0xed1d43da, 0x1f43d053, 0x531fdc78, 0x5cb44517, 0x6e825458, 0x0558fb5b, 0x9830163f,
+    0xb7bbd9b6, 0x0c63059b, 0x9373efaf, 0xb12718b3, 0xe6e1375d, 0x7b51c598, 0xa5d2f90d, 0xc3823aeb,
+    0xbba13b58, 0x53cad545, 0x8f996389, 0xb3499069, 0xc568b759, 0x2809c1c1, 0x2824beea, 0xa7f16261,
+    0x70d070cb, 0x6d0f21ef, 0xc37ef491, 0xea36aeda, 0x05d506ed, 0x0ffca59b, 0x2770c3a7, 0xbd8f6454,
+    0xadb2dbb0, 0x545acc15, 0xf3bebcc9, 0xbf580693, 0xcfe3a6f3, 0xbcdd6d55, 0x3959fc9d, 0xa9c804a0,
+    0x8d84a940, 0x8a346aa3, 0xe8c14bbf, 0x56819668, 0x4ecdc571, 0x26279922, 0x89d209dc, 0xda229000,
+    0xad1de590, 0x616846d9, 0x34d46ce2, 0x894454be, 0x61eac3a4, 0xb5d76bac, 0x13916093, 0x6e03e91e,
+    0x0a24c2b1, 0xba77def9, 0xd6bc170c, 0x0147b368, 0xa0f74374, 0x63faaabd, 0xaf412072, 0x153fc0cd,
+    0xfdc0e6a3, 0x902b8472, 0xdf7c4b6e, 0x1cc2600c, 0xa77cc9ad, 0x597df7eb, 0x0d1e7f66, 0x2fd0952e,
+    0x92c4fea7, 0x07aaae62, 0x940b284b, 0x9e7f0aeb, 0xc452928a, 0x4a5c698e, 0x2011e3dd, 0x1c5ce902,
+    0x0951c6bd, 0xec1112b9, 0x4e61eb8d, 0x89b41d8e, 0xeb966f37, 0x6e8e2404, 0x21620fc6, 0xa3f0be96,
+    0xc3084994, 0x366e01a3, 0xacd1c237, 0x703a7946, 0x2be7d23a, 0x6d25ddbd, 0xc3838f16, 0xd6ae0916,
+    0x9164cd0b, 0x6818c6d8, 0xca5c65f6, 0x87ad5d2b, 0x5fa33c03, 0xdf663441, 0x3ea2433b, 0x8ca5a406,
+    0xd5c63a11, 0x7ac6a8a3, 0x60ab132f, 0x41bd3581, 0xe35a7ac0, 0x5e95ecb4, 0x6d646f2c, 0xa763ebf6,
+    0xdcc97cde, 0x87639562, 0x09921ab2, 0x63c66496, 0x879717d2, 0x12f4c77f, 0xcfc3ec4f, 0xdd110d3d,
+    0xab9e6495, 0x7032cbf7, 0x97d68ccf, 0x96d5e71e, 0xb1524dc7, 0x6ab6f316, 0x26ee313a, 0x32e2c3c1,
+    0x549bed5a, 0x3d8fdab3, 0xaed0d9b2, 0xce2f1ea9, 0x03534571, 0xdbc084d5, 0x055067ef, 0x8d1a9027,
+    0x3744e06b, 0x9e4df07b, 0x21a451ed, 0x1da718e3, 0xc5bb27b3, 0xd64f5f52, 0x3257db83, 0x1f0c3d0b,
+    0x8b388096, 0xe8101da1, 0x282f6eb7, 0xf874dab0, 0xa66a1e7d, 0x7495177e, 0x1ff1247f, 0x8b7c8651,
+    0xfab550c4, 0x98373ce8, 0x47c05996, 0x14b2200c, 0xdd74d79c, 0xccda564b, 0xbb04d654, 0x01f51afa,
+    0x34ebe05b, 0xa4035228, 0x71a18fba, 0x52a7813a, 0x8a316f83, 0xcb43877d, 0xecd90b86, 0xe1bc7feb,
+    0x47d7fdbc, 0x655b6cc9, 0xe2267a0c, 0xac365552, 0x9cc674f0, 0x7165e30b, 0x2a025e8c, 0x363a867b,
+    0x72386658, 0x9d2daa81, 0x368060dd, 0xbb748dec, 0x57b121cd, 0x2403df3e, 0xc516e458, 0x73aa8757,
+    0x9562da39, 0xa5239fa1, 0xf01efb44, 0x36397de0, 0x6f349a04, 0x7a1a7502, 0xe1de4f46, 0x5bf9947a,
+    0x931c3ca7, 0x7132a188, 0x8c7dbae8, 0x044c0951, 0x7ef2a046, 0x9b8e3cf7, 0xe58bb94e, 0xec14d62b,
+    0x269fc885, 0xd507b8c8, 0xc1a983ee, 0x43aae376, 0x8ff7263e, 0x2fce2f07, 0xf5d32941, 0xae584f92,
+    0x795606ae, 0x7e73ddff, 0x22b61046, 0x97d3f173, 0x449577c7, 0x525f74ad, 0x5f34c09d, 0x49b9cf60,
+    0x5934d8f9, 0x05e550fe, 0xd55bada7, 0xfd139148, 0x21453d96, 0x7fbcf0aa, 0xe1d9f600, 0x1fb419ef,
+    0xeaa1cc2a, 0xc4f02110, 0xf0a1f0e1, 0x78d0d657, 0x71d44e35, 0xf3da44d1, 0x6e18b67f, 0xbba42406,
+    0x39a2f80f, 0x84186eeb, 0x2735a73c, 0x3a196e38, 0x5e86102f, 0x8d316137, 0xf4f43a18, 0xc30859e7,
+    0xe20b2db0, 0x845510bd, 0xaa76b5c5, 0xf544872a, 0x5426081e, 0xbac97231, 0xba53c6f7, 0xbbc43dea,
+    0x9014e74a, 0x139876d0, 0x7f8671c7, 0xfc1e6726, 0x748b7d26, 0x090c1114, 0xf8eed89e, 0x688be575,
+    0xb5f7ecd0, 0x5e4897e8, 0x35245645, 0x1c232589, 0x39866b68, 0x74fa590d, 0x3e1d8c7f, 0xa76e40d6,
+    0xa8c58626, 0xd6ada033, 0x6506082b, 0x5dbf10ee, 0x048a76fe, 0xacde9778, 0x93d01cfb, 0x152c8942,
+    0x4e70f8ea, 0x789f14b7, 0x71121ad2, 0x05df4d15, 0x0d0d085e, 0xb6c4c8ab, 0x68c8beed, 0xfb9ccb67,
+    0x0af3bb07, 0xcd0d92c0, 0x0827431c, 0xc7d3b41e, 0x88210a52, 0x29a7a23f, 0x8a891f21, 0xccbc2441,
+    0x98cd045d, 0x79920c5f, 0x045896ef, 0x318cc537, 0x3d567afd, 0x9c286271, 0x70ef3187, 0x990a777e,
+    0xc6621023, 0xef2c3969, 0x886bae18, 0x6988b173, 0x50349d25, 0xfd712b2d, 0xad226ec7, 0x8c99c34b,
+    0xa768c6a6, 0x73a2a06e, 0x73fa6109, 0x0f781b6b, 0x2160e710, 0xde736344, 0x7080e18c, 0xb3baa4ad,
+    0x47833e60, 0x03898464, 0x63b10927, 0x2730eb21, 0xca866e7b, 0x24be2991, 0x4749636d, 0xbb2fd321,
+    0xad260cc6, 0x46b50393, 0xdff4645b, 0xd8e9c1e5, 0x454d0f7f, 0x95455a4c, 0xc50749d9, 0x27fe978b,
+    0x44defea8, 0xe62afceb, 0xa5631399, 0xe4fbaced, 0x8c70d0f5, 0xfb47a019, 0xf35822be, 0x7108f577,
+    0x09e4d958, 0x86a5c7df, 0xedf56826, 0xf80ba210, 0x3bc1915c, 0xbc6b2426, 0x75ba8954, 0xd3113f37,
+    0x37ff3674, 0x74c6958b, 0x2e8f21b6, 0xd8cddb48, 0xfc7958d5, 0x7d8c4586, 0x69eeb14e, 0xebc7f9f7,
+    0xf6235970, 0x3bfade7a, 0xda83e19d, 0x3410d0d7, 0x2350b469, 0x06e9ea38, 0x307c0812, 0xd4fa791e,
+    0x2d2923a5, 0xc49db3ad, 0xf43a894e, 0xa9d51581, 0x1c68831a, 0xa3b700dc, 0xb8116cb8, 0x036640eb,
+    0xc2d6ac24, 0x9e6bece1, 0xd1d0311f, 0xa7c003c9, 0x61577aa1, 0x8ecfc09c, 0x357efcf5, 0x6712a4a7,
+    0xff2cac16, 0x4efa81b8, 0x4d558294, 0x8f4458b1, 0x03b97911, 0x1de4bbd9, 0x26981b48, 0xba4092d9,
+    0x587361e4, 0xdc2904eb, 0x2bde5c8a, 0x55703fb0, 0xec472832, 0xc50c20f3, 0x0d26dfce, 0x615675e2,
+    0x2f6e419b, 0xd9530990, 0x3fa76c9c, 0x79c47494, 0xe848ee32, 0x880d9f0d, 0xca0b7c57, 0x18af4cd2,
+    0x40301d36, 0x561c94e8, 0x4f3d6ce2, 0x27f2fc3e, 0x1f910ee1, 0xe75db9c0, 0xf340fe2c, 0x9428b77b,
+    0x5ad89f78, 0x8ff4b6fe, 0x3420af20, 0xadcd9ced, 0x3ffc0814, 0x8375eb61, 0xaf019b32, 0x68dba0df,
+    0x9e433e23, 0x14b558c8, 0x96f9682e, 0x921a908b, 0xbc57bccb, 0x08e5869d, 0xf380c814, 0xa77e1c1e,
+    0xb2441fac, 0x6ae8d5ed, 0x0d28e565, 0x0087370c, 0x6288a10e, 0x9e3f6cd6, 0xafcd5e9d, 0x7665170d,
+    0xc047228b, 0xa24908c2, 0xe3808457, 0x0588b00a, 0x5ace490e, 0xb36c9052, 0xf62eb320, 0x044660cc,
+    0x5c924855, 0xd8f761ea, 0x0cca5852, 0x3165c5d3, 0x06843f33, 0x3aec280f, 0x49effd34, 0x53749ec2,
+    0xbc00cf3e, 0x0416ae42, 0x6469b979, 0x3d19006d, 0x66a22f51, 0xa95ecce9, 0x79f14be1, 0x2a5516fc,
+    0x3ff2a627, 0xa3038fe7, 0x1027d709, 0x2b1901d8, 0xc9f24bac, 0x4f7277d5, 0x7220472a, 0x1eb8efd7,
+    0xbab2441e, 0x8a262632, 0x521bdad4, 0x0da72308, 0x839244c9, 0x3ad9b9a3, 0xc4934162, 0xc2b62b13,
+    0x7b6050f8, 0x404a0991, 0x6f4ee119, 0x51451c97, 0xe755b48f, 0x1caa44a2, 0xe8710f78, 0x3b21ce6b,
+    0x77cfd41b, 0xae5a0513, 0x503b6a4f, 0x2badf406, 0xe765ea09, 0x2b55280a, 0x7a51c6d2, 0xc19c95da,
+    0x3770ba0d, 0x75331c69, 0xf265477d, 0x85792201, 0x33e30956, 0xab17c77d, 0x78b975e2, 0x3b618b2d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000002305843009213693952 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e12, 0xf346e2be,
+    0x00000000,
+    0xbe360346, 0x19294b2c, 0x2ae575aa, 0x5b5db7e1, 0xc20dd5e0, 0xe9e5bdd0, 0x1946c773, 0x969772a2,
+    0x93f3bb1d, 0x84d530c5, 0xf6766c91, 0x255c598d, 0x10aeea30, 0x9fd265b8, 0xb76e1a82, 0x214c2382,
+    0x8c5feeb5, 0xd0ac6522, 0x66443ef8, 0x01a49766, 0xd9871b54, 0x78bb75ec, 0xc35b9a28, 0xaf4f7881,
+    0x1d63ecb8, 0xba0f93a8, 0xbcb138b0, 0xe8b4c7b8, 0x1c990247, 0xc2d0f5e5, 0x253f9c40, 0xe1010aab,
+    0x3a7e1167, 0x0a36a41d, 0x44cc44a4, 0x07a5b3e1, 0xfd32698a, 0xdf6a78b2, 0xadc755ae, 0xd71eedac,
+    0xcd2f84f6, 0x487f1c93, 0x343eba28, 0x78b27531, 0x9377273c, 0x5226c5c2, 0xcd43a5de, 0x37acf8e4,
+    0x7cb5bbc2, 0xe922d170, 0x8daf8a4a, 0x1b6f428e, 0x029db299, 0xcb8101d3, 0x8b73205c, 0x85ee0603,
+    0xd29a37cc, 0x046df292, 0x57c9fddd, 0xd8f6d084, 0x482d70eb, 0x0114feeb, 0xa71cae49, 0xf0d4ed32,
+    0x4c09d58d, 0xc7525b9c, 0x3aa88a70, 0xb66da2d6, 0xb432765e, 0xaa98e909, 0x97a46d76, 0x96b29b1d,
+    0xecffac1a, 0x76ee77a5, 0xf0e30115, 0x523971b4, 0x4d03982e, 0x1a0f82c0, 0x5984c134, 0x76cb2f79,
+    0xcd293b10, 0xbb70971f, 0x4d0f0938, 0x4a574a2f, 0xfb512152, 0xe6bf898c, 0x9444bff4, 0x04040b8e,
+    0xc85ef127, 0xc50e61ed, 0x0a14e2ba, 0x7ec02334, 0xde962db2, 0x8021575b, 0xe278c8dc, 0xd8874479,
+    0xfb4715fa, 0xf4893b87, 0x40c7b0dd, 0xcb837aec, 0x787d1b28, 0x3f57cd8c, 0xc9182911, 0xdb048756,
+    0xdbe59873, 0x316f621f, 0x3e4ec786, 0x2807c1b3, 0x2dbee7f0, 0x0b6d0344, 0x38eb3b0a, 0xbfa24c72,
+    0x898d616d, 0x266afee6, 0x44558245, 0xf6a3cb2c, 0xe1322956, 0x8637bdff, 0xa1062bf5, 0x91de9b4a,
+    0x398a741f, 0x65c682cf, 0x5341c6cc, 0x0c2ae04a, 0xb7336a12, 0x20d060ae, 0x89b9adc7, 0x4f8a3a21,
+    0x73388dfb, 0x8d561c57, 0xbd96b08b, 0x19c59fc0, 0x8cabd42d, 0x4e89616a, 0x635460ae, 0x439bf31f,
+    0x7d780fdd, 0x3e38c681, 0xd447b422, 0x83be4156, 0x73739d88, 0x7661056c, 0x19be0996, 0xfbd0cd2b,
+    0x7a1aface, 0x31022cb4, 0x244c19a4, 0x8b614ec1, 0x163181bd, 0x162484a1, 0xf0c12cd3, 0x695ae662,
+    0x5436cf7b, 0x7d150b8c, 0x16415115, 0x740940fc, 0xb2ae6220, 0xf463e3fe, 0x667e0c15, 0x68fde629,
+    0xd389f7df, 0x9720ec86, 0xaa2d848f, 0xd342f68c, 0x50d667cd, 0x6a601706, 0x840a9604, 0x48dfe71b,
+    0x5ce949dc, 0xfb28532b, 0x5af5637e, 0x3278f3fb, 0xe24208fd, 0xdc66a05c, 0x69b76b71, 0x315ddec0,
+    0xab126871, 0xe624afc8, 0xa49ca857, 0x507895bc, 0x2026ab92, 0x1ae6abad, 0x511ce2db, 0x2da9c467,
+    0x75b3a06b, 0xca2450b0, 0xbab755e2, 0x58462180, 0x54bef1bc, 0x9f132f35, 0xc06d0162, 0x22a1bbfb,
+    0x7144880c, 0x28eed7b3, 0x02a58de6, 0x77cb50d4, 0x73692c73, 0x7f8aef24, 0xea307885, 0x1a246a89,
+    0x8c496d87, 0x14d244f4, 0xd89efb19, 0x01ee84a1, 0x720248c8, 0x07f6992d, 0xf15b5b50, 0x0aaafff2,
+    0xf36f02a0, 0x494b4fd5, 0x37dd69f2, 0xed55a2fc, 0x6fb0ee32, 0xac19315a, 0x39bc01a7, 0x1e0b0369,
+    0x9fd30cdb, 0x4655387e, 0x164051d6, 0xc0cfe271, 0x6195457b, 0xac4dbf05, 0x63e3f666, 0xf82f3400,
+    0x2b597d4e, 0x138955f1, 0xb64ed7e5, 0xfe8c3887, 0xc8cee81b, 0xa0af8607, 0x6b40b271, 0x18245ce9,
+    0x07199977, 0x92d20fa9, 0x29545962, 0x2d8200a2, 0x9bb5636c, 0x70223ab8, 0x843e23f5, 0xfde6424b,
+    0xc9a51595, 0x815714aa, 0x192654bd, 0x28e05a85, 0x7f06dcc2, 0x6f2a6b84, 0xa54db77e, 0xa98e8da9,
+    0xd776de52, 0xd784dd35, 0xfafe0111, 0x7457ad2c, 0xe2fafdf9, 0xeae320f4, 0x36f38154, 0xc4a0851c,
+    0x7ea6264c, 0x331bad8e, 0xa2427923, 0x40f24e90, 0x055ab2a4, 0x560841a8, 0xdd7a2c4e, 0xf940e86b,
+    0xa87177bb, 0xf4763789, 0xc4d6efbe, 0x96b26b99, 0xe4c5cc10, 0x8a2d7c1c, 0xe9f116a6, 0x78eecf0d,
+    0x85db2b78, 0x72c19734, 0xbeb23c4b, 0x6ab1f86f, 0x7b217347, 0xbbb1ca97, 0xde6db65f, 0x54b8fcb9,
+    0x0c97b944, 0x95d5558c, 0x25846b5b, 0x8103bfa3, 0x45bfde26, 0xfa23d808, 0x72de889f, 0x3650463f,
+    0x76bbad31, 0xc6fd9434, 0xd5f01296, 0x7c9ccccb, 0xf58849bc, 0x8afa8780, 0x5cfb57f5, 0x09be2e87,
+    0x1fe2ea64, 0x91955437, 0xbfd17c86, 0xc1c7bf6b, 0xd11a88f8, 0x92f688f3, 0x02318e73, 0x8ccf7594,
+    0x496f5239, 0x561f4574, 0x09895d66, 0x8c9971dc, 0xd0d683ad, 0x19575efd, 0xada52004, 0x3f34c4fb,
+    0x99662ae5, 0x9ea41a5b, 0x6604d36b, 0xbbc6c177, 0x02082731, 0xaf1007a3, 0xfaa502bd, 0xd69cf2ff,
+    0x9257c85f, 0x8295dc9c, 0x35d68c75, 0xa2ee9316, 0x675648ca, 0xab66dfe2, 0x6397cf39, 0x5cbe0583,
+    0xa5235a6f, 0x44f15153, 0x5e530558, 0xbdf88976, 0xa1227474, 0x1752c629, 0x6902581e, 0x5e107119,
+    0xcbeb7391, 0x19254e41, 0xdf3a0533, 0xff98fd05, 0x9ac0760c, 0xcf2b9b6b, 0x545ce4a6, 0x57c01a69,
+    0xeacaf4e5, 0x54a1cf38, 0xfc0a8ebc, 0x358f7b82, 0x4108091f, 0x5373ae0c, 0x6d435fd8, 0xe8d92308,
+    0x6ad2a9e7, 0x1a624c22, 0xbd2e160d, 0xd091ac37, 0xcb2698c2, 0xda8e2935, 0x697c6b38, 0x7a45322f,
+    0xc07f17b3, 0xf6cc1d4f, 0x816736b4, 0xfbe53f55, 0x067a99c1, 0xa53569b8, 0x0430a06d, 0x70dd34b9,
+    0x59cbbd5c, 0x6053d0c0, 0x1884cf5a, 0x09aa02c6, 0xd1086273, 0x371eb40b, 0x61139dcd, 0x48dbb99a,
+    0xbf56f7f8, 0x64fbbd20, 0x173a7739, 0xd1df2a06, 0xc633b4c8, 0xb4af21c0, 0xe0f7a277, 0x54eb8914,
+    0x3fd004f0, 0x2b2b78a5, 0x885fd7ce, 0x1c9f4813, 0xc035f8d4, 0xae0556fd, 0x76fbe431, 0xb7f3d86a,
+    0x1a66aeb5, 0xd1772d38, 0xe484205e, 0x72570922, 0x7fda749e, 0x921f564a, 0x529cd963, 0xbc1b4643,
+    0x896d9ec2, 0x5b44ba4d, 0xab44375e, 0x33d1832e, 0x8d09583a, 0x32bffb48, 0xb8891bd9, 0xa1216417,
+    0x55681047, 0x9539825a, 0x55bf1ed8, 0xfae193ea, 0x125b478a, 0x10045acb, 0x188801c8, 0xb1eb9760,
+    0x53f22216, 0x25721509, 0xca117468, 0x8de17d88, 0xbaa4c390, 0xa673d786, 0xa85ffad1, 0x183a22cc,
+    0xd0be52f6, 0x620253ab, 0xe4b6b0c5, 0x23500b62, 0x6e058489, 0xe0aa7afe, 0xce72b7da, 0x6056e496,
+    0x418f16f1, 0x91a3bb53, 0xec49e655, 0x34d8d8fe, 0xa6014f9e, 0x2ce32bff, 0xfcf98900, 0xab040b7e,
+    0x4997c021, 0x5780e7c7, 0x265c56d3, 0xdddd222c, 0x5b5b3364, 0xc47af40a, 0x1d335fe4, 0x5097cb03,
+    0xe4821a89, 0xa0481fe9, 0x0b3b8f4b, 0xdeb89575, 0xcc933e82, 0xf8062e81, 0x49bb91dd, 0xf26d1f4c,
+    0x328f2143, 0xf7ac6da7, 0xce5df58f, 0xc4821e5c, 0x5d37623d, 0xb0cbf629, 0xbef4d643, 0xddb185de,
+    0x41a26816, 0x7e8d945f, 0x16e5afc3, 0x2ee9b222, 0xfba77525, 0xd1d95c95, 0xf9aafe06, 0xe9eb99af,
+    0xc0a013c8, 0x129565fb, 0xd676fe95, 0xcf71a8e5, 0xa7c46f8f, 0xe78b7e44, 0xe984833b, 0xbbbb7d87,
+    0xcd9ef9ba, 0xf738e58f, 0x29b6e84a, 0xea24605e, 0x0b8c139b, 0xb50823e7, 0x3dbd3e88, 0x8dcbabb4,
+    0xda78e550, 0x4f73ecef, 0xc6c01d33, 0xac35409a, 0xc0539bd0, 0x78916a43, 0xe1efc4a7, 0x47e7eff6,
+    0xa3c6ffca, 0xeafa7d63, 0x58ec91b6, 0x35f54544, 0x79a3c876, 0xc40684dc, 0x9e7a9ae2, 0x7360a319,
+    0x166970d7, 0xde027965, 0x6f233a0c, 0xc2e9f7c5, 0x1e18ded1, 0xbd56d0ac, 0x53589bf4, 0x393787ce,
+    0x7c594e1b, 0x4c96cf12, 0x9a6875af, 0xc918f576, 0x8e8ec53c, 0x6956f8bf, 0xf8f700d6, 0xd10e3cc7,
+    0x34185a4e, 0x60ace524, 0x065558e5, 0xaf8d17a9, 0x2bc3f362, 0xf8fb0b41, 0xe18eae42, 0x6e7e9f7b,
+    0x257851d7, 0x1c948f97, 0x0def2149, 0xc9ff3f6e, 0xd6f177e6, 0xfc9d97f0, 0xf3042ab4, 0xb6954b5f,
+    0x691af72c, 0x21179fa1, 0xde784910, 0x4829c33e, 0x0531164d, 0x0af3468d, 0x2b1bbaa4, 0xc5f313c4,
+    0x5347d733, 0x84b35c65, 0xe934343d, 0xe063dedf, 0xd23929e7, 0x97bfc022, 0x967cbf3e, 0x07a0bc4d,
+    0x14ce1662, 0xd1be2842, 0xdffc64e0, 0x076175a5, 0x2b2f4172, 0xb90d6538, 0xef283de0, 0x7604dc0c,
+    0xb107cf0e, 0xa02880a8, 0x41606476, 0x5bf1d270, 0x238fe1aa, 0xfef1cdb3, 0x1416d57c, 0xc6bb529f,
+    0x01edf4c0, 0xa498aa9d, 0x823cecaf, 0xa80e5ea1, 0x95606f98, 0x15593606, 0xfcc76802, 0x09424a31,
+    0xefc6b412, 0x97b86ae2, 0xfb559820, 0xa6cf0850, 0xd5dc86bf, 0xe1d619a3, 0x8e4e7113, 0x11d58280,
+    0xf9b47a09, 0x4588dcda, 0xd43b9bd7, 0x165515c1, 0x66f26d05, 0xef3b7c03, 0x1015d176, 0xe53c5526,
+    0x6a7885e8, 0xc21a9924, 0x8d0c2372, 0x9af48d0e, 0x3ff1c848, 0xb8bf7ac4, 0x7fba46cc, 0x8b4de4e3,
+    0x2b9b9d76, 0xf9db60ad, 0x95970137, 0x0364dc48, 0xdba29f1f, 0x6103d5f5, 0x2bbd4710, 0x1074c638,
+    0x8e96d5c1, 0x53aa2f8e, 0xba2a3010, 0xbee3f34e, 0xa4b8f794, 0x3ca848e1, 0x7cc01cd6, 0xcbc22e0a,
+    0x6ee0bc3f, 0xf26044ff, 0x45671c46, 0x664c8813, 0x8a945b4a, 0x8b8fd930, 0xa6758ee0, 0x887f71a5,
+    0x0f5c9d4d, 0x78a693ba, 0x6fe8f26e, 0x612e77dd, 0x436b16c3, 0x20a0be0a, 0xb8c054e8, 0x5836c161,
+    0x88e20364, 0xd7188714, 0x49b92030, 0x975d0445, 0x52ba3321, 0x6fda230c, 0x8d07301d, 0xaa7c6d74,
+    0xcacf9a54, 0xe6720d15, 0xd6239390, 0x9b7f8ba8, 0x44ab1823, 0x28349ae2, 0x184bfa40, 0xd50869e9,
+    0x86ae30d9, 0x268fa882, 0x8f183f39, 0xe485bc01, 0xf135f06d, 0x638b7c0f, 0x404e5677, 0x1ebedb33,
+    0x96b71e72, 0xde0790d2, 0xa4e003b1, 0x16f6a3c6, 0x9189b648, 0x7e286d1c, 0x89957c21, 0xbd93289d,
+    0x28d5ff0c, 0xf565cdc4, 0xe0331d53, 0xce160940, 0xd5170e2e, 0x26ba99d6, 0xa88b412d, 0x88036521,
+    0xc604f49b, 0xc61e4749, 0x07d0e2e5, 0x70477adb, 0x9ab7ad7b, 0x29eb0e05, 0x179a38fe, 0x20c09684,
+    0x703532b2, 0x557988bd, 0xa78b1f5e, 0x01552b93, 0xf5048084, 0x51aad3db, 0x351b2178, 0x042901f5,
+    0x9eb07697, 0xa5a929a6, 0x0b054661, 0xd1fb2e93, 0x82949675, 0x21e856d6, 0x2c177708, 0x471682d9,
+    0x651b8e3e, 0xba6ed356, 0xa81594e1, 0x96632eb3, 0x00d5c575, 0x8885d91c, 0x3612f56f, 0xe893060f,
+    0x0ce27102, 0x695c58a6, 0xb2ffd2c8, 0x4a6a5c9c, 0x43d4051e, 0xa1a53df5, 0xa6df71ca, 0x53baaf8d,
+    0x8093b0d7, 0x4f772e33, 0xf2faf506, 0xbd5184f1, 0xdc0c90a4, 0x94b30077, 0x4f939a90, 0xbb867993,
+    0xed027baf, 0xeafbcb41, 0x96397559, 0x4ba916e9, 0x14de114e, 0x8d43335f, 0x70dfaa3e, 0xf054ce28,
+    0x14ee1d20, 0x93adf705, 0xb59f05e9, 0x23d92756, 0x25eb973b, 0xa9493f63, 0x63b3e59c, 0x834694fc,
+    0x3a6c4a0a, 0x31a2f00d, 0xbcd906b4, 0x1ffba61c, 0x97932a76, 0x49c50af4, 0x55affad0, 0x280984c1,
+    0xe25d1787, 0x7833b360, 0xaf6d34cd, 0xa6a6dfe9, 0xdd4193c5, 0x60dd6cec, 0x3ec9d089, 0x8ca80635,
+    0xfdf0bb1b, 0x329a2e53, 0xd6670417, 0x06f43d24, 0x0bac5e9b, 0xbb95437f, 0x585dfaa3, 0xc06ef091,
+    0xade9f26a, 0xea2868ff, 0xa876aba2, 0xc1c2e277, 0x8c56224d, 0x52c675e9, 0x690ddeb1, 0xc0c8776a,
+    0x5e5f2325, 0x33e3a86c, 0x20972db3, 0xd08be62c, 0x2f8f9817, 0x75dd51bd, 0x4daf9eb8, 0x216e90c8,
+    0xd589158f, 0xef744aaa, 0x57f48b60, 0xf45b2678, 0xa58ae9ea, 0x852350ed, 0xe49a01bf, 0x26c68180,
+    0xfd6978b0, 0x545ed426, 0x47e4671e, 0x02f150df, 0x46fde9f7, 0xc1439e5e, 0x4d9e7f4d, 0xb5b2a34c,
+    0x724b95cf, 0xe9303c55, 0x5515fc16, 0x1cd85c3e, 0x897f2310, 0xf46e9a02, 0x6c269454, 0xbe957dce,
+    0xaeabafca, 0x9c83b6cd, 0x31fc34b1, 0xbeafdd13, 0x222d61b5, 0xac400cc5, 0xac67f46f, 0x288b31ad,
+    0x9a2e99f7, 0x0d68767b, 0xd064ac6a, 0x0c5360a6, 0xc3e39e93, 0xb8c59d27, 0xe757dd26, 0x2aa40424,
+    0xb27b2677, 0x8c5aef2b, 0x924af10c, 0xca2dbcd1, 0x0ffa98c4, 0xdcdb1045, 0x9a3e984e, 0x95ba77af,
+    0x2e2a7309, 0xcf3ac8ae, 0xee22a26d, 0x0cc0464d, 0x6d7e7df2, 0x182d8e8b, 0xa3db005f, 0x3cd7aa2a,
+    0x42953330, 0x8c2d03a1, 0x4a5f26b8, 0xe0bc0432, 0x146213a5, 0x7ead8778, 0x6dfab0ee, 0x8cdf5270,
+    0x60c783f5, 0xe12842cf, 0x0043dcb8, 0x41899ff6, 0xbdeb6378, 0x40126169, 0x27c82b96, 0xce27fce2,
+    0x9f055968, 0x9dc9d656, 0xffa9e836, 0xe7a10ce0, 0xdf81dfa7, 0x17b298b4, 0x061941ce, 0x7166012f,
+    0x440db4b2, 0x84f4d2d0, 0xe2a3238f, 0x24bdd3c8, 0xcd04d351, 0xbeadb2e3, 0xc29e4ccc, 0xdb222704,
+    0x3304a5b9, 0xb7081872, 0x05e54394, 0x3febfc73, 0xd5ca7882, 0xc3932b90, 0xfe1f48f1, 0xd23fc07c,
+    0xea7628cf, 0xf8bf74dd, 0x83510c02, 0xf3d6574c, 0x3a35bd6b, 0x41dd9755, 0xf0ed11ce, 0x4a4efb64,
+    0xaa417dc4, 0x5c6728b8, 0x4dd78661, 0x2e9f54e4, 0xfe94698e, 0x2698863d, 0x5ec6c5a7, 0x7faa3310,
+    0x2e41c9b3, 0xee47bb27, 0xfa1c2842, 0xa3ae391b, 0x795bea63, 0x70322dc9, 0x1826fa4a, 0x4f86bc4c,
+    0x12773c37, 0x77bebeb8, 0xd9efa888, 0xaa351c14, 0x0f56ce7f, 0xff628bac, 0x606f7975, 0x54deee07,
+    0x9edea512, 0x41cafffd, 0x2436bec7, 0x23282ddf, 0xb3bc2baa, 0xdc28f6ca, 0x96fe52f4, 0xab732e3d,
+    0xf707207d, 0x8609172d, 0x0a0016a0, 0xc96dce23, 0x8d4672f4, 0x204a5115, 0x2a1632d2, 0x8a5d7ec5,
+    0x588ad3f0, 0xa5450cf8, 0x142746a5, 0xa4a3c567, 0xc855c119, 0xf043d738, 0xba1164a8, 0x72104c10,
+    0x1748cd2e, 0xef6b48ca, 0x4f683fb8, 0xe13f8ff5, 0xe10c3270, 0x83ffc3f9, 0x6e51c578, 0xd316c001,
+    0x244ddf3c, 0x64f0b682, 0x6bb6ed81, 0xc548c176, 0x0690bdd1, 0x88feef54, 0xfcb6d73d, 0x483832b0,
+    0xf0ceb2cc, 0x7cd60973, 0xe776c1e1, 0x33ace545, 0xe3438575, 0x20e5db80, 0x9e6e5627, 0x9c722274,
+    0x48fb30d4, 0x4e726bab, 0x7b310721, 0xfd0c8bac, 0xd8f16099, 0x991472a1, 0xa6962ae2, 0x219e7c89,
+    0x10ed679c, 0x16bbacca, 0x9c760872, 0x610a74d3, 0x2867c4f6, 0x90915759, 0xbf6bdaf8, 0xf3ec1b9f,
+    0x257d3d63, 0x0ebc2b61, 0x343a29eb, 0x98e81bf9, 0xb2adccee, 0xe1c06b7b, 0xc1c928b3, 0x8bfbcf15,
+    0xe4aa0f1c, 0x4c2e424d, 0x658fe414, 0xbce84ab4, 0x7f3d0c0d, 0xab3858fe, 0x9ce6178e, 0xc4d9407b,
+    0xcc35463b, 0xc0f5f141, 0x8d8d4a43, 0x76fdad7e, 0xb7b41de5, 0xecd116c8, 0x49b1d992, 0xd0200239,
+    0x4344eaea, 0xe4dc8fea, 0x3f3275a2, 0x594e8e21, 0x6e47cdc1, 0xc182235b, 0x5a490fe4, 0xac105a13,
+    0x8c9a4f81, 0xb84dc054, 0x387d3f26, 0x02208c45, 0x8aa9da39, 0x7e87be13, 0xe9e51a94, 0x18d828e6,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000001152921504606846976 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f09, 0x79a3715e,
+    0x00000000,
+    0xdcaacd90, 0x8bb4e74c, 0xab8f81c4, 0x8ded50da, 0x6a3d999d, 0x5ca9f022, 0x249ee0c9, 0xd7478e72,
+    0x45eb4033, 0xfa5249f1, 0x898fe8c7, 0x3e4d40db, 0x21c3791f, 0x057d8531, 0x9299a609, 0x57353680,
+    0x22327a84, 0x7c243c1f, 0x86173ffc, 0x9addea3d, 0xae85f884, 0x30938f32, 0xa4ab80b8, 0xab175af8,
+    0xbb67ae79, 0x7e8c6fe6, 0x8fbc7f69, 0xb98e905a, 0x963a011b, 0x905f9391, 0x1ef0a211, 0x2817421c,
+    0xc3855e93, 0xcd5cfda4, 0xc6b02b48, 0x5f5bf219, 0x573f0f63, 0x8d0e0888, 0x7058caa4, 0x27b4d2d0,
+    0x0bd56e79, 0x370479d9, 0xb8c2c2cc, 0xad17ed7b, 0x67706ef8, 0x7692bf6c, 0xdbf5ad42, 0xbc690740,
+    0x7c83e9c4, 0xd195d302, 0xe45633de, 0x9d7605f9, 0x37fae878, 0xa991fbc6, 0x003cc067, 0x87a29e03,
+    0x6decce65, 0x954d0ca2, 0xf77d9e9c, 0x4a1db996, 0x831677ae, 0xd852885c, 0x299bec5e, 0xad92bbe3,
+    0xcdf9c6f4, 0x2deef388, 0x727b3f05, 0x04498aba, 0x7a6dd286, 0x4512d8ca, 0xb1a2d585, 0x029b2073,
+    0x8aa860f5, 0xd9b51c86, 0x6fbbe209, 0x07bbef7c, 0xbd4ca346, 0x3a0be822, 0x3d97e060, 0x5c94a30b,
+    0x922354b7, 0x9792c84c, 0xbabcbca1, 0xafaba2c5, 0x8dd8acee, 0x3f57347f, 0x40aee8d9, 0x80f0a4a7,
+    0xa09f702e, 0x287ce74c, 0xebee98ca, 0x671fc734, 0x3c6f7faa, 0x2e9d03c2, 0xea1cc0e7, 0x1eb613f8,
+    0x0e448015, 0x71706e3c, 0xf005b564, 0x4fe0627f, 0x1a3f5b52, 0xd9f1a011, 0xd4838d40, 0x57e56d4b,
+    0x3604beac, 0x01a65eed, 0x6465f7e3, 0xc393d46c, 0x04e93645, 0x332840fb, 0x041ec5fd, 0xd969b372,
+    0xe042b089, 0x3648a362, 0x9b4bc212, 0x956e5249, 0x605df57c, 0xa0f726ea, 0xba419378, 0x1c8f7df8,
+    0xc4a76991, 0xf5faa679, 0x8f303d4b, 0x213aa0d6, 0xd483e692, 0xbf8ca05b, 0x14d55404, 0x5949fd33,
+    0x272aeb35, 0x0ead47a6, 0x169da0c6, 0xe6cd2277, 0x50cd3a2d, 0x93aff21f, 0x0a6cdf6c, 0x3aaa50c0,
+    0xa6179063, 0x720c863a, 0xb3b1acfc, 0xb59e70e6, 0x120a5ad9, 0xeaf8df66, 0x42dde882, 0xf67cb562,
+    0xad1b34e1, 0x1000b521, 0x23af9f58, 0xaa701559, 0xb0412763, 0x5a95e48b, 0x307b118f, 0xd93d44a1,
+    0xf6fdba1d, 0x834f74e8, 0x96b7ece3, 0xbf661295, 0xc790f215, 0xa779c889, 0xa1a9437c, 0x227d53ec,
+    0x38cfe161, 0xd83e95c5, 0x9aeb60af, 0x047b88f7, 0xddc73947, 0x58712c3c, 0x06027711, 0x2123c7c0,
+    0xb0776462, 0x5862a25f, 0x00c37abd, 0x7572c2a8, 0x5f39d50b, 0x4df2fa4a, 0x93439cd4, 0x975ea2bf,
+    0x5c87c277, 0x9a1d2fb3, 0xc42dc23c, 0x6fd87680, 0xbdeb5157, 0x96634e0f, 0xa26ad493, 0x0528a708,
+    0xd9526f8f, 0xe3e0a509, 0x679fb1f3, 0x115082ac, 0xd997a4f2, 0x052fb709, 0x9d39e49f, 0x68c766c8,
+    0x4a89bf1e, 0x44a8e9a8, 0x2cd0de42, 0xd1a537c0, 0xc2dc5769, 0xf31fc881, 0x044cdbcd, 0x95322b13,
+    0xb365ef66, 0x217348a8, 0x1b1a0279, 0x66cdad71, 0x00dbcc1e, 0x2fbb5cdc, 0x56f92299, 0xc67cfa16,
+    0x8bb30eb0, 0x3a3211e0, 0x24abeea8, 0x948a8139, 0x16386415, 0x21275a5e, 0x2bff1e28, 0xefa01e93,
+    0x62cbd989, 0x2a0b9d40, 0x4ab78e7f, 0xa5efa947, 0x829d4397, 0x32856faa, 0xd45f3931, 0x8ea378ff,
+    0x86c68228, 0xf6c52a17, 0xa42d3f2d, 0x730e43ed, 0xd6819b0e, 0x7805bc1d, 0x3ccddee9, 0x33436637,
+    0x31b589a4, 0x6026f34c, 0x19c506dd, 0xaa655552, 0x2d9e2319, 0xc235dfaf, 0x2cf8601c, 0x71c082dc,
+    0xaab5ba80, 0xc010ae43, 0x78b2042a, 0x3cfa3447, 0x9dfd624d, 0x4c6a642d, 0x87217d3b, 0x2559474b,
+    0xa50624e6, 0x85ed849f, 0xacca85e5, 0xfe8152a9, 0xf6fb9765, 0x98e438d6, 0x51972443, 0x2474f08c,
+    0xb2efa6f2, 0xe973c20b, 0xab490721, 0xf15e5b40, 0xdcff4254, 0x3e272543, 0x1317f0be, 0x10c35ee7,
+    0x5d729f83, 0xd9f2c46f, 0x1f92c3c6, 0x29d84d88, 0x88763e24, 0xd821b68a, 0x8f524347, 0x5e232a8d,
+    0xe02d5a55, 0xc025e8f6, 0x788414dd, 0xfe412955, 0xffe80f36, 0x5c75185e, 0xcfd882f7, 0x490bbc0e,
+    0x1a0765ad, 0xa2109503, 0xc0861e7b, 0x7b06530d, 0x0dff74d8, 0x1af3848a, 0xa93a2e5d, 0x5f959033,
+    0xc3011c7a, 0x0625f780, 0xd1029d39, 0x8e7d1a70, 0x21593bf7, 0xb2252db6, 0x427b2bcf, 0xa1180b98,
+    0x56a366b7, 0xd1c2ede5, 0x366ab297, 0x5988e7f4, 0x7624171a, 0x7605c6be, 0x2dc534ad, 0xd538e878,
+    0x65f439f5, 0x1c902b1e, 0xa53a6fad, 0x5bab5764, 0x5ba64250, 0x429838f2, 0x8459f4db, 0xef2b21bb,
+    0x66d4e44f, 0xc8548739, 0x33d67b78, 0x43da90b0, 0xb3f3c158, 0xe989c289, 0x4ae74fee, 0x8e455cf4,
+    0xbf785eb7, 0x018d348b, 0xed3fa167, 0x1aa5cc9d, 0x411ba8d5, 0xbd10f311, 0x70073aac, 0x861e831e,
+    0xda7b76ce, 0xe3e8b487, 0x31b6c515, 0xe15f9063, 0x23fefc70, 0xff40fbc5, 0x82d54d5d, 0xf27a871c,
+    0xf8905058, 0x4098c610, 0xc020d907, 0x5ebc7a72, 0x359cca22, 0xed4b3277, 0x2226cc88, 0x879f878c,
+    0xc63d48c8, 0x0721232e, 0x4841f0a5, 0x91c0e863, 0x1f8cb724, 0x73fe8317, 0x5fd3d34f, 0x9213a190,
+    0xd3d073c5, 0x2c986b97, 0xaa5e3784, 0x94849fd7, 0xfe07872c, 0xc6865aac, 0xf75b125f, 0x9ae2e450,
+    0x0797e1bd, 0xbfe57588, 0x4c792b15, 0x4f9b881f, 0xa3163695, 0x1ec8236c, 0xad1acdbb, 0xfb8ea647,
+    0x3426f6c2, 0x008f7355, 0x0167b72f, 0x7bc38545, 0x4bd7a5d5, 0x715fd601, 0x101c8f66, 0xb7d7332d,
+    0x05095e3f, 0xd39a8238, 0x1f8fb898, 0x0fdb74c9, 0xfebe06af, 0xc277bec1, 0xc6714898, 0xb900d480,
+    0x8569af06, 0x875b460b, 0xba09b9ae, 0xda50aac9, 0xd65fb094, 0x7f32b6ab, 0x56d830b1, 0xa957476a,
+    0xa24750a1, 0x46495479, 0x0d5836fa, 0xca6381ec, 0x4d4a5e1b, 0x15f6a7ea, 0xa648c725, 0xafa1d51f,
+    0x72f43e3c, 0x94392236, 0x1f58e6ca, 0xcfbe90b7, 0x0c035864, 0x548c7146, 0xde7692cb, 0xa7901c0e,
+    0x6dbb340a, 0x3cadb8fb, 0x030af50d, 0x0ab973f6, 0x0601ed4f, 0x8ad6c138, 0x1addbd3a, 0x87016d86,
+    0x4a1edd2f, 0x9927c438, 0x52914d6f, 0xb8d8e2a9, 0xfe8db2d7, 0x450ec8fa, 0x98ed719c, 0x5aebe144,
+    0x55819191, 0xb6ef57c9, 0xf4830ee6, 0x46ab61d4, 0x88b9e987, 0x11b89650, 0x182304a5, 0x89b6a5b4,
+    0x3f46506f, 0x30893ba1, 0xfedb2361, 0x5aac9550, 0xf487cadd, 0x1ac0394f, 0x1f8305bb, 0x53df594c,
+    0x1404d2db, 0xb19a1e51, 0x9d9914a9, 0x86172cf5, 0x51aac9ba, 0xddfd9842, 0x449c144c, 0x005506cf,
+    0xeacc0e32, 0x24735097, 0xc4772cd3, 0x8dcdd2be, 0x835cdefc, 0x09edfcc9, 0xa75483fe, 0x246389a1,
+    0xe05800ca, 0x7026be3f, 0x5b42451d, 0xe8d95d07, 0xd52a64d2, 0x377bf952, 0xb818df48, 0xe802a7c4,
+    0x326097f1, 0xf55c8432, 0xb66406c9, 0xf8d7f1c6, 0x993f880e, 0x6b347de6, 0x1727b278, 0xbab5398e,
+    0xa43f1092, 0x62a1e307, 0x03bfd454, 0x466269a8, 0x12c1c255, 0xd3af5793, 0x551cefea, 0x4b63694c,
+    0x402cc6d2, 0x3bf2a8d6, 0x2413e1cc, 0x5769a1a1, 0x2c71b5de, 0x3104f934, 0x12a662bb, 0x1debdb4a,
+    0xc2a46926, 0x59a40b88, 0x82bd4b4d, 0xa477ab25, 0x489016f0, 0xfb78ed81, 0xc468dc9d, 0x4a301efb,
+    0xc32eaa20, 0x56838c0e, 0x851d1907, 0x12ea8a0c, 0xff4dd1ea, 0x43d32cb5, 0x4ff7b8ca, 0xb9dd44eb,
+    0xddc0454b, 0xa4b32b3e, 0x644a11a8, 0x654fee66, 0x580ce8dd, 0x19b025d1, 0x83b9a496, 0x150212b7,
+    0x7fd2e2d7, 0xcdecd241, 0x8fb92091, 0xfa1ea066, 0x444db67b, 0xc9c7e786, 0x4656d7a0, 0xb0c7d17b,
+    0xf6e90eb7, 0xab5ab9be, 0xf9b1df7f, 0xebec3b13, 0xa83b6e89, 0x3c646d67, 0x37172e41, 0x14c7385c,
+    0x3e4b9571, 0x5cb7ce0d, 0x93545167, 0x06cda1a2, 0x1dc2a246, 0x2662161f, 0x6cde345e, 0xc36380f6,
+    0xb6086196, 0x70f6576d, 0xc0c19db9, 0x954cc1c0, 0x79a031bf, 0xb605ff51, 0xadadb53e, 0x9864579c,
+    0x4aabf128, 0x33ce5f8e, 0xb1d51121, 0xf9bb9321, 0xe264658c, 0x3f4955db, 0xbdc9cb79, 0x7ea41786,
+    0x55303f86, 0xe7c208ab, 0xeeff918c, 0xfd941413, 0x03e504c3, 0x73e7168c, 0x5b21f13c, 0xff5569fe,
+    0xd5a91c2c, 0x2ce54a2d, 0xc1ea563d, 0x4ecfa047, 0x83948e6a, 0xbbda8190, 0x9fb58228, 0x84e846c2,
+    0xaf60602b, 0xd47d839e, 0x64e06cab, 0xd57a8bc4, 0xbdcb179e, 0x247c8757, 0xd4ca3c5b, 0x508960da,
+    0xeaddf431, 0x27db94b4, 0x2c9c35fd, 0x997be88c, 0x16ec7b70, 0x40d1c231, 0xb495a59b, 0x89cca133,
+    0x4b9bac27, 0xcc46af2a, 0x67a98c65, 0x98db2722, 0xe9752797, 0xe7f8f23f, 0xb3aa0233, 0x2035e075,
+    0x7c0ddd28, 0x2323ab95, 0x00a3c263, 0x20fe5232, 0x22bee7ab, 0x0b6bbaf6, 0x0d2e73aa, 0xd1099bd2,
+    0x3b2cf91e, 0xb3fddf54, 0x1d89cc3a, 0xbd08402b, 0xb7fc9056, 0x3629575a, 0x786959cd, 0x4852b947,
+    0x9d0f6ec6, 0x491bd8c3, 0x9bc3018e, 0x8d5bd864, 0xe467633f, 0xcb66a2a8, 0x331e6054, 0x47475afe,
+    0x50db11f5, 0x14066426, 0x872a7f8e, 0x8f64b54b, 0x18914efa, 0x2cb2979b, 0xe0a4edb1, 0x7afef67e,
+    0xdf0c5338, 0xf1559c0c, 0xb0c3e5b0, 0x04da5a52, 0x834e62b0, 0xda77f247, 0xecdc4794, 0x715998b9,
+    0x685b858f, 0xc22f7f52, 0x4f9b0855, 0x2379d899, 0x6ebff631, 0xbb6c66fb, 0x37a5b424, 0x82059091,
+    0xe84aca9b, 0x8bc21db8, 0xd3a158ec, 0xfd5840b0, 0xbc0dd8e4, 0xcce57fed, 0x8fac84ba, 0x0737ffc3,
+    0x0cf94a90, 0x96683b77, 0x07d41bdb, 0x3ac467ad, 0x75f55182, 0x2adaabd8, 0x41e57021, 0xd06b9ab0,
+    0xd3b7ce20, 0xd3ee9143, 0x05bf738e, 0x159d41a4, 0xcdb10ef1, 0xbf619019, 0xf5f0479b, 0xc694430b,
+    0xe1976804, 0xf683a62f, 0x561dba50, 0x9e36264d, 0x5326f906, 0x9a042394, 0x339e2976, 0x8020efc1,
+    0x5ce565dd, 0x19c2d757, 0x4cce0a8a, 0x55df31b8, 0x785f8a4e, 0x43ae5f21, 0x7628e9c5, 0x72bbf3ec,
+    0x9ede7f74, 0x0cf57ffd, 0x0ce4f302, 0xd731e378, 0x65ea1f06, 0xd1e1b23d, 0x32bb0453, 0x21a0b3db,
+    0xa4e602fa, 0x11d2792f, 0x569c3643, 0x76fa0c7f, 0x38c0725a, 0xd59b8819, 0xcd02ba9c, 0x2768c586,
+    0xee8faf00, 0x52068b29, 0x3d7e920c, 0xe91f7c89, 0x45409c1b, 0xba5ae187, 0x02f7b4a8, 0x4d4a0509,
+    0xb1098263, 0x2df292dd, 0xdd77fec9, 0x0a31f7d7, 0xedf3e792, 0xabf73693, 0x8614fc86, 0x4fd65ab8,
+    0x50f62171, 0xcf2aa152, 0x88216777, 0x2a0b5aaf, 0xef4c9505, 0x6ac250d2, 0x3e9f237b, 0x27f322a9,
+    0xcc7a938c, 0xe2caf6c4, 0x8c5f134c, 0xaf66481e, 0x73736523, 0xa8b34f36, 0xc87fedbd, 0x45df7d9b,
+    0xd795bb48, 0x6141a98e, 0x536c1489, 0x600cd356, 0x3f2235ca, 0xbaa4e0f2, 0xdb20911a, 0x92c65f11,
+    0x6f5dd727, 0x44f08de4, 0xdf4d8738, 0xf029275d, 0xa3b6b1c5, 0xbea37588, 0x6844f650, 0x1efb0907,
+    0xb5870933, 0x8fcccca8, 0x54244538, 0x21a5ce5e, 0x8c2aa9d9, 0x0681e4db, 0x46e72d01, 0x2c0b5942,
+    0xc29e3f4a, 0x3f2c61ed, 0x32893133, 0x9586afe6, 0xbf255b43, 0x8eee0181, 0xcb8c106e, 0x9a6bca2f,
+    0xc703abff, 0xc4ea208c, 0x3c51827d, 0x2a620a68, 0x8539caa0, 0xa3d5e532, 0xa01ff314, 0xdf52424c,
+    0x422971de, 0x0e0fb51c, 0xd8dcb486, 0x37242a38, 0xfeba7403, 0x1310a794, 0xf5fc1ecd, 0x23d25bb9,
+    0x2dbb05bc, 0xf41d0c01, 0x186dec96, 0x5c91f00e, 0xe8339bad, 0x79246e80, 0x25a498ff, 0xe889b994,
+    0x8434229c, 0x8971b98d, 0x9b539ee7, 0x56ab41f3, 0x6bbfa009, 0xbc81b46c, 0x9000bc87, 0xe68a40c4,
+    0xe827e036, 0x8e34d3a2, 0x21069d55, 0x2d64ecbd, 0x490ab649, 0xb45015e8, 0x086a09b4, 0x24eed0c6,
+    0x305c6ae7, 0xc80c9f21, 0xc1232598, 0xc464fd1d, 0xf2d4b817, 0x3dab1781, 0xd12af163, 0xe48834a6,
+    0x7203f4f7, 0xf08c1faf, 0xdefd794b, 0x33a05a7d, 0x02d4ed50, 0xb8b484b9, 0x78cf2217, 0x1de64b9d,
+    0x578d54f0, 0x22c6701a, 0x813b6348, 0x9c3d4778, 0x994ba85d, 0x490c0dee, 0xa83b77e0, 0x31879f36,
+    0x308ce726, 0xc35fd052, 0x607c2c7a, 0x7736765f, 0x07da7d27, 0xd561ebf9, 0xf854cba4, 0xd8c64e53,
+    0x50dead95, 0xa39327ee, 0x03cdda39, 0x2660b544, 0xd819d890, 0x5961dfca, 0xb045e25d, 0xb372192a,
+    0x24a20afc, 0x7c34d262, 0xf3e0fc4c, 0x16555861, 0x2f1a34ce, 0xd0a327a6, 0x099058be, 0x5857b242,
+    0xb5b704f0, 0xfa8ea5ef, 0x9cd8f361, 0xdeeca7e5, 0x81a4820a, 0xf53d30d8, 0x831647c9, 0x0eaf3f07,
+    0xe4ac8575, 0x3b5cf04d, 0xd3768d2a, 0xa7377e51, 0xb6ca7897, 0xf299dc4b, 0x6bd32fe6, 0x5b798ae9,
+    0xb03e640a, 0xb1361344, 0xc83efcb7, 0xd69bbed4, 0x7a204b3e, 0x834ce6d8, 0x92755193, 0xb8928c25,
+    0x54dd5f77, 0xf0e57263, 0xcced46c0, 0x664d4ea2, 0x22e7a0b3, 0xe7913a5a, 0x551fda53, 0xdc723ffb,
+    0xaa480294, 0xa8a25c7b, 0x0dde0d2c, 0x803f5ada, 0x7226e51f, 0xe86c3e77, 0xb8f17e79, 0x9261e4f2,
+    0x030b8b62, 0x9fe9b5a9, 0xa2c048cc, 0x5ca6cec3, 0x5de13fd4, 0x01f0dd3c, 0x6049251f, 0x60100fd5,
+    0xe39881a6, 0x436d7512, 0x1e95a183, 0x50d131b1, 0xd56097b8, 0x4e7c5242, 0x8c698600, 0xa8f17e2c,
+    0xfd591f8b, 0x67df9347, 0x2db762af, 0xc01997ad, 0x7aaedd42, 0x60e9e5eb, 0xaf42fcb8, 0x9d66836f,
+    0xae0a0e38, 0x96fed0fc, 0xff0c31ce, 0x5b4c64ea, 0x3dfe35cc, 0x226878d1, 0xc9f27700, 0xf1fde6d9,
+    0x1f4c9cef, 0x23555933, 0x0df759fa, 0x803c7f52, 0xbccff767, 0x0395b3ef, 0xf98161c7, 0x589efb92,
+    0xede67a83, 0x170c884c, 0xad2674bc, 0xab4b568d, 0x3e677148, 0x693a47ff, 0x5df5b5b3, 0x3c6e01d9,
+    0xda20a9dd, 0xe13b24d5, 0x9283eb20, 0xcf4debe0, 0x0f9fc360, 0xa547345e, 0x941a73bf, 0x2c1596a7,
+    0xffe9b280, 0x9a44511a, 0x1aeb64bd, 0x17a2fab7, 0x06669423, 0x98c3db18, 0x3d3d8e98, 0x494fa6a0,
+    0x0c25806c, 0x04693552, 0xcdc2ba96, 0xefa08ae7, 0x5ba24c2b, 0x88e62505, 0xa946e8e5, 0x0e9a45c9,
+    0x808cc12c, 0x14481e20, 0x7e83e2a0, 0x58ecc78d, 0x921709e2, 0x445d2d94, 0x2b467c6f, 0xed3dde89,
+    0xdc4888ec, 0x386a822b, 0xbfa93e3c, 0x4f152c9e, 0x12090052, 0x6113e88e, 0xcd7938e1, 0x13511ca7,
+    0xe4f0fc1b, 0x16b8de37, 0x4cadbf23, 0x70b75aa1, 0xc1105c8d, 0xa1bf7397, 0x5fd45af7, 0x1c8c6db0,
+    0xc6cf427d, 0xa2af6b1a, 0xf607fd8c, 0x8276bf36, 0x6c37ed7e, 0xaf3e7c9d, 0x2abaf0b1, 0xbeb9ec58,
+    0xbe51254e, 0xe25707d7, 0x608ffcc3, 0x30b7c08c, 0xd0b0412c, 0x54516534, 0x0ea61ada, 0x6d79cbbc,
+    0x457fe532, 0x6e1dbfa5, 0x65a1330b, 0x75391cd0, 0xad90fcb2, 0xdf64206b, 0x5edf80f2, 0x93de8f8d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000576460752303423488 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a784, 0xbcd1b8ae,
+    0x00000000,
+    0xedad8d73, 0x9c3e3456, 0x3b789252, 0x1f94f5bf, 0x1c8db606, 0xc652ee8f, 0xdbb23efd, 0xe437c638,
+    0xe4e346ef, 0xabcc0d7c, 0x660bffd3, 0xc3a0ead7, 0xae66ee35, 0x10156ccd, 0xc64d3d4f, 0xe3502973,
+    0x2c994179, 0xb2bee854, 0x87eb306d, 0xf52ff289, 0x3bd349c7, 0x69a76678, 0x8d1a6a20, 0x3f1af2a0,
+    0xaede41ec, 0x7cb4153e, 0x0dc9bdf7, 0xe75fb1f3, 0x794a23fc, 0xc03499c1, 0x12fd099c, 0xe068794c,
+    0xf83402f2, 0x782ec2c9, 0x1f3e5a8d, 0x40ae2e13, 0xb9a6ae2c, 0x447bcb64, 0x7ca4f1ad, 0xf9d0b43e,
+    0x9aa5385c, 0x21ca317d, 0xd3ddef07, 0x6f81325f, 0xe9d1bc83, 0x7b266133, 0x0d9071a5, 0x1dfb89a7,
+    0xc3c50e27, 0x486f5677, 0xfb000475, 0xc9a37f3d, 0xcd03398a, 0x1b2ea8f6, 0x052e159a, 0xed8c8cfc,
+    0xbe731ef2, 0x59c3c765, 0xfc7f2281, 0x2b03ea7f, 0x9391811d, 0x68f79e28, 0xcba9988f, 0xdfd520ce,
+    0x82c710a8, 0x952a99d6, 0x5c51b586, 0x305b5e4a, 0x38d956f6, 0x9f4fc470, 0x2f2e2cbd, 0xb967f531,
+    0x60416284, 0xa1cfd6ec, 0xb2783ec5, 0x2af61629, 0xf0835e14, 0x18907818, 0x8a55cb45, 0x888ca91d,
+    0x43a956db, 0x260b305a, 0x5be5cb15, 0x9cc606b8, 0x8cb39e94, 0x4eaa5752, 0x99bdad7f, 0xe2ae7b7b,
+    0x38c2c155, 0xc1d11df7, 0x5f793c72, 0x6023d97d, 0xf5a7dcbd, 0x581c6e58, 0x6cc8de9f, 0x89ea0664,
+    0xd3a25e84, 0x52b1df2b, 0x4001a190, 0x669c31e6, 0x59925d51, 0x15f4a6dd, 0xea3715c6, 0x386676f7,
+    0x6f544c6a, 0x9d4dc813, 0x28898047, 0xe4a7299d, 0x50ae0293, 0x83892dc1, 0x5cf6787d, 0x0c08ebed,
+    0x41fd42b1, 0x773da443, 0x915aac12, 0x61fb69bf, 0x1c8634df, 0x9eab1b46, 0x8fbe2aca, 0xa355d09c,
+    0x399ab946, 0x69511777, 0x9f6e8a2e, 0x45a44675, 0x4d86d3b0, 0x1ce0d67d, 0x9949d6f8, 0xc0f7c4ed,
+    0x651c69d3, 0xa72aa413, 0x204d484f, 0x20d529ef, 0x0e01b8a4, 0x6e821b10, 0x2862d8a4, 0x8741833a,
+    0xbf88dfba, 0xa458f2f2, 0xff12b5b7, 0x3aef0924, 0xe3f582c7, 0xee642468, 0xc492063e, 0xbc39dd2f,
+    0x2e010acb, 0x8f10a610, 0xf59303e0, 0xb5dbafbb, 0x89b55da5, 0xad590229, 0x2db16359, 0xdb81b5ca,
+    0x226fce49, 0xa19523c6, 0x4331dd16, 0xd06a0e81, 0x673fbdc2, 0xccb290c3, 0x96ace6be, 0x127b9773,
+    0xe5cb7a54, 0x0940a109, 0x21cf3735, 0x43ee1c8a, 0xf4ab197a, 0xc68670b1, 0xe8f59ce7, 0xe5ccb63b,
+    0x0a540547, 0x38a3636c, 0x5fa57457, 0x36c3e61a, 0xcfc3d7bf, 0x0f08407b, 0xad6be157, 0x26e1e270,
+    0x1f9b7b61, 0xd1ee2d6a, 0x0518b847, 0x5ed18b40, 0xf1937a73, 0x16cb9062, 0xcbabbd35, 0x17613cd4,
+    0xa9277db9, 0x80ff6428, 0x4ea55030, 0x5a9b396b, 0xa1dd4ec4, 0x9dccd436, 0x8574e684, 0x0f095636,
+    0xd220511d, 0x7691b22d, 0x2ab3f56f, 0xfe2a664f, 0x269b2d46, 0xbad3a334, 0xb169991f, 0x33277f61,
+    0xb0b3aad6, 0x0b3b564d, 0xf08b7a7a, 0x8b347e4c, 0xdab9a665, 0x14df1c7c, 0x53087f9e, 0x416a8ebe,
+    0x147fe457, 0xc4fc1830, 0x0018681a, 0x0830903f, 0x85736fbe, 0x066911b3, 0xf951b0cb, 0x85374a74,
+    0x2af686cc, 0x7d4f8fea, 0xc9623768, 0x415ae269, 0x7aaeaf3a, 0x890887a8, 0xd1b5d358, 0xc789a8d1,
+    0x06406f16, 0xc80cd071, 0x313df39c, 0x985c7400, 0x2eea59b6, 0x6a9ba72e, 0x07caa437, 0x9921c3cb,
+    0x9ffa2abf, 0x57e5e5b5, 0xe0f965e3, 0x384cbd1f, 0x211a88a5, 0x032bc463, 0xfaa468e0, 0x058f412d,
+    0x4819f375, 0x20eed169, 0xa6e87525, 0x4bee4590, 0xcd870e8b, 0xba0bc768, 0xd1821235, 0xf7b0f96b,
+    0x45f5bcc1, 0x1f53ad85, 0x2cb34bc5, 0xdde5d5d5, 0xd19bd163, 0x7a52e850, 0x6977e4d3, 0xbcbe92a3,
+    0x9992f94f, 0x92992321, 0xa0fcbe91, 0x921da5be, 0xcb9059d5, 0x13eab044, 0xef47eedb, 0x7bbd31ec,
+    0xfc971523, 0x0ec9b902, 0x7822d80b, 0x41172909, 0xe3ba1c60, 0x459bbabb, 0x8381d28f, 0xd488abaa,
+    0x4da09505, 0x7b3763ac, 0x4ac27a9a, 0xffb40ce2, 0x709af694, 0x94a27d19, 0x3011f9e1, 0x34618056,
+    0x43b61058, 0xe2166027, 0x001321b0, 0xe4d84a64, 0xe6d75d06, 0x8693c356, 0x9f600a34, 0x1cdd04ce,
+    0x3c1a13d1, 0x1ff0d519, 0xadafd61c, 0xa3caf908, 0x6ece266c, 0x79cae1a8, 0x432dedb7, 0xa7b8023a,
+    0x72444dde, 0xf33cb2ce, 0xaf208f22, 0x359e689b, 0xca3c4b06, 0x528a579c, 0x47d21caa, 0x29f5d101,
+    0x03d3b812, 0xf659faa2, 0xf811fb89, 0x97c538e1, 0xf5bbb391, 0x32d084d2, 0x00da66a4, 0xd1ec9f56,
+    0x90228e5c, 0x813ff2e7, 0x84adac74, 0xaceba1da, 0x91cbb968, 0xee19d308, 0xc24b52ec, 0xef033c1f,
+    0xd71eba22, 0x13037112, 0x373c725c, 0x17aa6ef9, 0x1fe1fa79, 0x3396b05c, 0x537b4d87, 0xbaa2d8bb,
+    0x041d06c2, 0x94b19e2f, 0xd6ec7258, 0xeea114df, 0xbcfdb3b5, 0x794e913f, 0x34ab83c7, 0x5842788b,
+    0x329a46ef, 0xe355580b, 0x3959a77c, 0xfd0b0b3e, 0xbd997d23, 0x74b35867, 0x7730a54a, 0xb9c07473,
+    0xc094da1d, 0x6368ed9e, 0x7b2fc584, 0x3741fbab, 0x040864e8, 0xd3aa5f2c, 0x7e92d1b6, 0xee41d80d,
+    0xf9200595, 0x6c2238d9, 0x4dc9aad9, 0xb9b78805, 0xb46bba86, 0x13f5226a, 0x91983141, 0x5641c0ae,
+    0x4f37a002, 0xf0d3e5c3, 0xc79b74e3, 0xf15f3641, 0x621f04e6, 0x1bc31b4b, 0x487c588f, 0x3422b9b1,
+    0xc0ce62d7, 0xddc3d5f4, 0xa1f21cae, 0xa861e224, 0xc4aec57c, 0xdd748ff8, 0x278e9036, 0xc58ca845,
+    0x1be7fe39, 0x4e4dd410, 0x13ed165c, 0xfdd60d0f, 0x630a271d, 0x652e1fd8, 0x4d390d96, 0x240e4461,
+    0xbce7827f, 0x59d7d2c3, 0x5c416771, 0xa83d368c, 0x806a51b9, 0x9f6543cb, 0x4ba7fbb2, 0x5db3ab15,
+    0xf92ec1ff, 0xf366f8dd, 0x6e277ea5, 0x2e7e8ae3, 0x7e048bb4, 0x7b2cd042, 0x77e09aa9, 0x2dab1bd2,
+    0x5689967b, 0x08eff626, 0xa2b94c20, 0xc9c53384, 0xf1d2a845, 0x17abd386, 0x05179a62, 0xca405d7b,
+    0xb5afba4f, 0x3ab3f98b, 0x69cc4bb6, 0x937bb278, 0xecfae139, 0xb7f0d683, 0x22763cea, 0x4a6e3a05,
+    0x6e226922, 0x7b715195, 0x359385e2, 0x80181940, 0x67ca52c6, 0xf62ea2ba, 0xbb9a12d9, 0x1f32d639,
+    0x3f39a7f2, 0x312e58cc, 0x7a53d12d, 0x749279a0, 0xa2d78fc0, 0x8a3fcbe5, 0x3084bcc2, 0xf37003de,
+    0x67194eaf, 0xffff002c, 0x9f89433d, 0x2e21350c, 0x7209bf58, 0x321da24a, 0x55deb205, 0xe3db3e4d,
+    0xb6561464, 0x98b00899, 0xf03d3660, 0xa05b0ec8, 0xf9bc8353, 0xbfec29d8, 0x0d87e94a, 0x5cf5ac4d,
+    0x527d8f77, 0xaa9aeb73, 0xad8aef6c, 0x22bf3c40, 0xeb22b353, 0x5584fc7b, 0x09e79fb2, 0x9712451c,
+    0xe0b39a90, 0x28faca44, 0x0da9f169, 0x4761067a, 0xc63cc15c, 0xdb92d769, 0x79e522aa, 0x5be8f3ec,
+    0xa52f6c54, 0x552bc67f, 0x41a5c638, 0x41d11188, 0x24331ab2, 0x0ba3343e, 0x034b7b52, 0xbe991460,
+    0x4a3740f7, 0x26262a64, 0xf42c6ea6, 0x9f0a73a9, 0xd19d061e, 0xc32aef80, 0xf8a1b47d, 0x70b196bb,
+    0xffb8157f, 0xf46ffde7, 0xfeee65da, 0x3c186e57, 0x9e79d53d, 0xa9c3412a, 0x73fac6f1, 0xcabff68a,
+    0x0ce7e95f, 0x41ca4d22, 0x93a3c5ef, 0x644bd862, 0x725e9825, 0x09dddea2, 0x88d71835, 0xef144a02,
+    0x95929e89, 0x369a712b, 0x51e12dc8, 0xd8106cb3, 0x03cb5c3c, 0x3dc17412, 0x3c9be416, 0x651c10f0,
+    0xe14849ea, 0xca58f6f6, 0xd8eb59bb, 0xd0132efc, 0x2083d46b, 0x3a035cdf, 0x23f3c71a, 0xcf9ec66f,
+    0xf59cca70, 0x7599ef31, 0xe7f70540, 0x820c2567, 0x8df8cd2a, 0xc84004bf, 0x9da5b802, 0x4058f060,
+    0xf1cbbe31, 0xadf79ac7, 0xb8e3caa0, 0xaad7679b, 0x82b9a2be, 0x61441860, 0x6cbe742f, 0xd864489a,
+    0x01c135b8, 0x4cd62c29, 0xd056c6fc, 0x9532b16a, 0x57e62494, 0x78637f13, 0x48085849, 0x5b87b6fd,
+    0x9f83a8f2, 0xaa0d20ef, 0xd2c57c63, 0x187f1273, 0x2dbe1d8a, 0x0743716a, 0x9276df76, 0x0ca71bc5,
+    0x683e0197, 0x6e814e6c, 0x98f10c83, 0xdc88e20b, 0xd8379bfd, 0xdbbd3e70, 0x76a6fd0a, 0xbea9c7d1,
+    0x3f913384, 0xf7b612b9, 0x680627e4, 0x7862c51e, 0x62d32a42, 0xa22b1820, 0xc3b695e7, 0xaf1449c2,
+    0x32172ae8, 0x91bb1291, 0x208e23ab, 0x91d92342, 0x4a5eb20d, 0x348ca868, 0xdfbf8bf9, 0xc96feb76,
+    0xc5eb408e, 0xd6e1e8f7, 0xff0669af, 0x72f06ca6, 0x4f8fefcb, 0xaf31835c, 0x41282d93, 0x65ec3937,
+    0x46d23a5d, 0x2081f2b7, 0x209d7fdb, 0xfb5d6634, 0x1c3fc500, 0x1664db2e, 0xb407f15c, 0x4c3743e1,
+    0x38ef0f80, 0x77e76b22, 0xe2813e2e, 0xa27e1a2f, 0xf084ce45, 0x757c0396, 0x5d975abb, 0xf269277d,
+    0xb153e34a, 0x3267450c, 0xe06185af, 0xf6927a4b, 0xeb44c3b4, 0xe6e328f9, 0xa652da3c, 0xbfe6f8ce,
+    0x71f99535, 0xe8e41cd1, 0xf389852b, 0x03267492, 0xf2e1f545, 0xef273256, 0x427049d4, 0xc695066f,
+    0xa4450286, 0xb4ba8421, 0x9fecf502, 0xb942b0f0, 0x4d3df474, 0x990b4879, 0xe0b6e6ac, 0x432d7216,
+    0x126ba907, 0x1fc93c1f, 0x4100e159, 0x0567d919, 0x6cb31515, 0x7024b5b2, 0xb684f282, 0x353bcbba,
+    0xb9644e06, 0x86fefae6, 0x496c6d98, 0x5713bee9, 0x904c08be, 0x66816dbd, 0x81bd73cb, 0x6ea974b0,
+    0x3ac85051, 0xc18f5a32, 0xf936b998, 0x7d14cd3e, 0xf084143c, 0x3a7c39b8, 0xb9addd75, 0x6c88a2e0,
+    0xb93c268c, 0xdea7a22b, 0xc6079490, 0x4aa4aa11, 0x699d417b, 0x0797d45f, 0x111c3617, 0x63416c1d,
+    0x216345ad, 0x174ec35d, 0xdf980e79, 0x560144e9, 0x7aa71e43, 0x9de24778, 0x4952d794, 0xfe685a99,
+    0xa595d56a, 0xf49e160e, 0x2135ca3f, 0x35d03190, 0x90b6fd07, 0x21c0c418, 0x5f2c350b, 0xb3d0c202,
+    0x723a4fcd, 0xe44e7da2, 0xdc86cd05, 0x7213f9a3, 0x62f8acb3, 0xa6fd6bbd, 0xb6e6ce74, 0xfc9c68c9,
+    0x1667c191, 0xf8980f45, 0x382b3c74, 0x45d78e53, 0x05d6822e, 0x4ae03a06, 0x1937ff1a, 0x7be3d932,
+    0x4ac637ce, 0x0fe458eb, 0x2684723f, 0x4fa435d6, 0x179b240d, 0xcd4c44fe, 0xba051723, 0x858aaa24,
+    0xf018f0b3, 0x9e0d6089, 0x45af4279, 0xa44c1d28, 0xae78033c, 0x2d545a06, 0x6e1c51f5, 0x3af7175f,
+    0xfdc99746, 0x255083cc, 0x27e6aa78, 0x7742c422, 0x86fe3253, 0x1bf628e9, 0xa3cb6932, 0xfd730271,
+    0xbc198d6d, 0xc4aeeb32, 0x5470704e, 0x7e0156b2, 0x9440e938, 0x92785cdc, 0x5c3169b7, 0xe8cc0211,
+    0x6d5857ca, 0x4e1bd2d4, 0x95255bca, 0xa9650f4d, 0x5732ee06, 0xf178a1ee, 0x42254a88, 0xb6078a74,
+    0xc01f11c4, 0x054bc284, 0xd17aba3a, 0x3d0b2273, 0x30a49992, 0x2c5f519d, 0x67d364a9, 0x0c73d9aa,
+    0xd43eec66, 0x79f89476, 0x061390c8, 0x3df9e45d, 0x61958df7, 0x7292693f, 0x2f5ec5ea, 0x72a98580,
+    0xeaa2190c, 0xdae568f6, 0x00bea35a, 0xdd74e534, 0x936ebce3, 0xa928687e, 0xdfd98c01, 0x39aef1d4,
+    0x559b32d3, 0x9ff6fcbe, 0x675712a7, 0x38b90eb7, 0x3beae8c1, 0x493e9f21, 0xed8f178a, 0xa32b788d,
+    0xd65ddbea, 0x9bb71e5f, 0xc3414742, 0x20c1d1fe, 0xc04ed29d, 0x1a2e6e0d, 0x78ab96b5, 0xbf14ef5b,
+    0x9e3bf18b, 0x2c14e92f, 0x8b7a0d58, 0xeae288b3, 0x52e75390, 0x5dcc8912, 0x2c38026c, 0x2b64769a,
+    0x806a5298, 0xffd972ef, 0x3f23a9c8, 0x4ca577fa, 0x77ae3b75, 0x3ff2ddd1, 0xf061723f, 0xe9caf4d9,
+    0x65cd9aff, 0x57ee3349, 0x0bf8f1b1, 0xabe243b1, 0xbcbfa57c, 0x70065ed1, 0xa407e238, 0xc523a3f4,
+    0xac50a58e, 0x2bb5974d, 0x73417e94, 0x906e362b, 0x5b56a232, 0x33015678, 0x10d3d80e, 0xcfda7812,
+    0x327d83fd, 0x96ae8516, 0x8d5a822a, 0x7d735699, 0x65fce45d, 0x09796411, 0x48d466aa, 0xabe84133,
+    0x38942882, 0x60c8b7c6, 0x35421f94, 0x8c6afb2c, 0xc9a0e845, 0x37ad3972, 0xe10e77f8, 0x7488c504,
+    0xab6eaaa0, 0x120e6369, 0x82cd7b73, 0xef88b4a6, 0xc1ae27f9, 0xc040a7f1, 0x59d2b324, 0x66413ec8,
+    0xa6f0ca74, 0xca17dee5, 0x922ba1e3, 0xa0c1237c, 0x55b40f30, 0x195b2e9a, 0x82a54263, 0x2991463b,
+    0xdc36ee9b, 0x64316eb6, 0xc8442510, 0x6772a8df, 0xa32813dd, 0xf0a5c484, 0x7926f4c8, 0x1015bcab,
+    0xf0ac1c63, 0x1ac451cd, 0x1116f1d8, 0xf40869ba, 0xd9e0a571, 0x3843e85d, 0xdfff538f, 0x67ba242d,
+    0x2e2631f7, 0x50e11a93, 0x3985c87f, 0x88830b84, 0x1b04d2ab, 0xd2ce6a94, 0x34ea0808, 0x5ccd3576,
+    0x05ac79d9, 0xe3b112b8, 0x5f43701d, 0xa6d555c8, 0x3cf0eb9f, 0x21910c77, 0x6173ccad, 0x4cdf0197,
+    0xcced0086, 0xc3f222fa, 0x449be85e, 0x7d778f95, 0x761edadc, 0x6bc08f18, 0x65e5e704, 0x84a5a680,
+    0x2a0899c5, 0x4db717d1, 0xb17f02c0, 0x87a36cde, 0xb8537480, 0x8cdb26c9, 0xf7f21d14, 0xbb6c9529,
+    0x1c9bb8fe, 0xede3d0f7, 0x0262cde5, 0x44d2f4a9, 0xeebfa89e, 0x1b658a70, 0x8abfd558, 0xf61e6dbe,
+    0x42b4b87a, 0x78cc0e74, 0xa290d63b, 0xaa26d7d7, 0xfb2d9a96, 0xb041c7aa, 0x3ff2b282, 0x9a95cdee,
+    0x7b97f602, 0x910cd70b, 0x0571e073, 0x95230b2f, 0x9d17e556, 0xc6d2d8a9, 0x22f86742, 0xf2349e00,
+    0x69be17a7, 0xd6c45e4d, 0x3859afb9, 0xaa152257, 0x6c587127, 0xf58c37a4, 0xff3344c9, 0x398206d0,
+    0xeda7c17d, 0x104d6384, 0xfae3db12, 0x5ce758d5, 0xa72334d5, 0x0065807d, 0xfb611b29, 0x5a3f2ada,
+    0x88a1c81e, 0x81f6246c, 0xa276f514, 0x1bb16b3d, 0x92a1eb82, 0x3a6c2b16, 0xea436d20, 0xacf3a75b,
+    0x3da3cd8b, 0x088dd9fa, 0x148b4e64, 0xba218a76, 0x8f616f64, 0x7929c829, 0xa13b4129, 0xaa61a05d,
+    0x45462d7c, 0xba342e9f, 0xd19ea18e, 0x4f9a3861, 0x654c5c0b, 0x1c16d8c1, 0x69789a0c, 0xadfe3a9c,
+    0xdc36b696, 0xb8e810c0, 0x126cb349, 0xe592caa9, 0x04105b37, 0xb1cf50eb, 0x1a14b016, 0xfc7653bb,
+    0xdc79b323, 0xa030a83a, 0x950a1b9e, 0xb1c996c5, 0x404b70c1, 0xc2025f38, 0x7697ecd2, 0xd4ab34dc,
+    0x88dec0a9, 0x73111c83, 0x40b7d2d0, 0xf813ef71, 0x41dc4c14, 0x40ff458c, 0x1342dbac, 0x8b4bb10e,
+    0x720356e5, 0x46b3f5d4, 0x88172010, 0xbd0d99bd, 0xd34d9943, 0xc3704902, 0xa3633d56, 0x161217cf,
+    0x50b313b0, 0xe13bf5b7, 0x6dd5c438, 0x38e03750, 0xcb1412f4, 0x2428fd72, 0xa239f89f, 0x0abf7d48,
+    0x1cc69104, 0x6be5ec9a, 0xdd385199, 0xb6a381c2, 0x28e36b9e, 0xb5e8c8a6, 0x5b93ea07, 0x4edc07cb,
+    0x5ac9250a, 0x37268a6f, 0x02392e0d, 0x8e161ffe, 0xe793fac7, 0xfaf6339e, 0xb24a721c, 0xdc84fcd6,
+    0x02a5a0b3, 0xf2aa5964, 0x437982b6, 0xce773ead, 0x8e0d2b3f, 0xe91fa20d, 0x5b86dca6, 0xddf7b7a9,
+    0xd4730a19, 0x89560de8, 0x941bb6f1, 0xbd7d8b55, 0x6fe5ec21, 0x48dc9d74, 0x91d1eef5, 0xf1295900,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000288230376151711744 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c2, 0x5e68dc56,
+    0x00000000,
+    0xf6ab3dde, 0xa5628c9b, 0x252b26dd, 0x41ee40c4, 0xf0d0fbdd, 0x333e02e2, 0x6470b5ed, 0x568c46bb,
+    0xf7469349, 0x038063ea, 0x034d2fdc, 0x7717b362, 0x4687c494, 0xb8bfada0, 0x8064c680, 0x5e2586d1,
+    0xbaf19bff, 0x66ed6a9e, 0xd7578211, 0xb6d3aeb3, 0xfb855d2d, 0xc80788a1, 0x7eae3607, 0x90b53925,
+    0x2e799b27, 0x99346ec3, 0x73d3b457, 0x4a4d839d, 0x698a5d43, 0x20a9c0b0, 0x32fe49c4, 0x7eb16c39,
+    0xe9c9834f, 0x5f5363a1, 0x1c2ab67d, 0x230f2511, 0x4f891123, 0x3dd8fcac, 0x406e7da9, 0xdfc2271d,
+    0x46836106, 0x341f3096, 0xd4e423be, 0x2644ab75, 0x69bfbd6f, 0x9f7f0f4e, 0x44dc420e, 0x05d43cb9,
+    0x4e4d0fd8, 0x4d7b1869, 0x052b0aed, 0x9560f01b, 0x74863308, 0xf7eb8b3f, 0x6ac63f9b, 0x3e9cb6a8,
+    0x567c437e, 0x50b885e1, 0x0de41c00, 0x6a43e7fc, 0x07dc6d22, 0x2a841050, 0x1671f4c6, 0x326fef63,
+    0xfec7749a, 0x1d442442, 0xfaad1860, 0x07295b9b, 0x3a2428d0, 0x7051b7b9, 0x63536f6f, 0x2deec270,
+    0xcce1d88f, 0x3a9e91fc, 0x9ff35066, 0x5677c9b8, 0xecac3453, 0xe89c3e1c, 0xd9b5e3d2, 0x627ea4eb,
+    0x274dafbc, 0x3509f896, 0xd3f0c075, 0x94a9d397, 0x675ca393, 0xbfe53eda, 0x0a209f62, 0x9966b994,
+    0xa7c4fa26, 0x320d982a, 0x71bb1867, 0xc4352c0a, 0x1ca3a96b, 0xd802d813, 0x815a8f1d, 0xcf3e57fc,
+    0x3619d8f8, 0x858ddc12, 0x269ab98e, 0x5d456038, 0xb782739c, 0x5b721eff, 0x2ff5af47, 0xfa4f2d74,
+    0x29322210, 0xac428c78, 0x67be74ea, 0xe633ac53, 0x2cd69682, 0xf8ed3f0b, 0x3bcb8b20, 0x9a306ba1,
+    0x5b4b96db, 0x63fcc917, 0x14657f8f, 0x7ca250f5, 0x10a07230, 0x95174f27, 0xda7ca376, 0x05a6e368,
+    0xedd9662c, 0xc3dcfd6e, 0x50caa2a6, 0xfa1edc99, 0x583e677d, 0x72ca6a47, 0x5df976b8, 0xb1b7d0ab,
+    0x90eee2b7, 0x3e807571, 0x2cf5307f, 0x8d4e8bc6, 0xabdcb5ac, 0x793184f0, 0xc5a79caa, 0x88d8fc6c,
+    0xb07efe63, 0xca6932ba, 0x6be823ab, 0x6d6dee7e, 0x6ffa0e70, 0xb56fa339, 0x219ad337, 0x12ad1645,
+    0x556b1f95, 0xf82fe9c1, 0x7e30c833, 0x159ac7f5, 0x28819548, 0xf0b23d0c, 0xaa93d6bb, 0x2dda9bd1,
+    0x83ff820c, 0x80acd91b, 0x55f69e23, 0xb93d4085, 0xdde01623, 0x1b6f3e13, 0xf62cc449, 0xe1901df3,
+    0xa5474751, 0xf1b9b2ce, 0xbbc5f4cf, 0xbb47fdb1, 0xac4f1439, 0x9d94506a, 0xd8730a60, 0x5de9dc05,
+    0x9c94343c, 0x4b840a39, 0xbe71e022, 0x191f02ae, 0x9e1ecd73, 0xdbd8e32d, 0x376b546a, 0xf813b3e3,
+    0x9ecb9aea, 0xfac3cdaf, 0x5543f64b, 0x569a18b1, 0x8cfad568, 0x3fdc0982, 0x40f008dc, 0xf6d52179,
+    0x125074ee, 0xb78a057e, 0xccc02520, 0xcd39d662, 0x2d87bc7c, 0x673a9472, 0x529d6337, 0x836ed538,
+    0x9e70d1ec, 0x29f4e70f, 0x8a8c9d32, 0xbd77f890, 0xf7a698fd, 0x5fc46bbb, 0x982313c7, 0x4f043ff9,
+    0x7fbbdf19, 0x07a6af2f, 0x8bd46b61, 0x7b29746f, 0xa595b998, 0xdd88adda, 0xd5aa454a, 0x9123b3a1,
+    0x52b40e13, 0x986fcca4, 0x041acd60, 0x3a605a20, 0x2dd05086, 0x4e3e1ec4, 0xa161c662, 0x7b322583,
+    0xdecf6911, 0xc0290909, 0x567577f5, 0x095aa488, 0x815d4a8a, 0x0be8a022, 0xdd354ca7, 0xe78e2aeb,
+    0xff81d883, 0x5e227bc5, 0x548fd274, 0xc1afe832, 0x11845936, 0x0e649227, 0x4e22f170, 0xfa26988d,
+    0x0ccaab80, 0x4cf85cbc, 0x883a857d, 0x3d42ea3a, 0xdeaa3a0e, 0x5a951a4e, 0x4c30dff4, 0xdd20c0c5,
+    0x9d0598d4, 0xfd504b25, 0xf60b0d40, 0x59fb95ef, 0xddb9c2bc, 0xb721a125, 0x14204a84, 0xb7d42a38,
+    0x70639364, 0x447ea589, 0x74524ea3, 0x5e909122, 0xf7a50519, 0xa03fbebf, 0x19f10d99, 0x35e1b0d8,
+    0x1e62abc2, 0x93ecde96, 0x6359d05b, 0xa7ef4f57, 0x54589279, 0x0ee7ea05, 0xd3fbb3ab, 0x8e709cd5,
+    0x2d160a36, 0x9cb4fb93, 0x1b938ac2, 0xa65c30a6, 0x1477d67b, 0x0fa5bde3, 0x07bf966a, 0x544c1cd5,
+    0xbdc36788, 0x87db6aca, 0x277dbe38, 0x61c7dc2c, 0x32e53641, 0x8820460f, 0x2ddf88e2, 0x0c1fed37,
+    0x43952139, 0xc243af6b, 0x7c0c05c6, 0x62721823, 0x3f0710a1, 0xac62a19b, 0x3fed923a, 0xb4f73d9c,
+    0xab58db2e, 0x0ac057b7, 0xb037e759, 0x23be1138, 0x18d0b66c, 0x58a2daad, 0x19404ec3, 0x396a2072,
+    0xd77b6e6b, 0x21a89ead, 0x73ebac3d, 0x8ddb145c, 0x1031d05c, 0xf34bd9c6, 0x23966e30, 0x46e9e248,
+    0xcfd3bb64, 0xec2c0051, 0xa4569652, 0x00418f9f, 0x78bd8b02, 0xd48371e1, 0xad515579, 0x6d9e401c,
+    0x98edc093, 0xde2e8964, 0x01e52cd3, 0x8fab7acb, 0x3194b938, 0xdb5980ba, 0x5d7636e7, 0x24a7bf97,
+    0x8c4527c7, 0xe008ec3a, 0xd21ab580, 0x7de3c695, 0x66db300b, 0x1fc0e55b, 0xf1c40c57, 0x3066a8b8,
+    0x0591f29a, 0x86f0783b, 0x59e7a6ee, 0x5b542f53, 0x2f79ac46, 0x69b16c8a, 0xece8fb40, 0xda15f065,
+    0x5adb09e8, 0xf7d4e23a, 0x2fa3f513, 0xd19e0913, 0x32346016, 0x6df52d8a, 0x55ca84ea, 0x2aed418e,
+    0x76e0d61a, 0x5e940718, 0xaded72e1, 0xf8583a01, 0xbb1f0c08, 0x8d345e03, 0x63d16218, 0xb6d6560e,
+    0xd16084aa, 0x12d8f7a4, 0xf7a5fcfe, 0x218856d9, 0x4c80ef85, 0x71a13d2e, 0xedb0ae0a, 0x29f8cf1a,
+    0x8ab409b0, 0x48f5598e, 0x64d87ff5, 0xa08918b6, 0xf8efbcb8, 0x2b73ffaa, 0x266b9466, 0x7d7c1aed,
+    0xc5a9b06f, 0xe4771125, 0xacaf2ed3, 0x9f920723, 0x0f030c59, 0xd60815af, 0x5d2429fc, 0x0e8ff227,
+    0x2a519d1c, 0x865066fc, 0x490e4408, 0xcd97eae5, 0x18a07246, 0x71c47930, 0x21bcd114, 0xe48c7700,
+    0x68673366, 0x9998b92e, 0x84837120, 0xaadfdda8, 0x26c3c6bc, 0x9a6bc718, 0xed104016, 0x88535305,
+    0x8d6a66ad, 0xc452816e, 0x5235cebd, 0x73f8cdf1, 0x46862184, 0x3c39e4d9, 0x6272895a, 0x0e91016a,
+    0x954a9356, 0x858312c0, 0xaa43d836, 0xb1649aaf, 0x01d01e51, 0x3ab27755, 0xa33f7f50, 0xdecf5470,
+    0x30ecb01b, 0x1edd694c, 0x71c6c5cf, 0xeb2ab2af, 0x821bb3eb, 0x2709d93a, 0x0c767fdc, 0xbf501c51,
+    0xc05fb718, 0xf5229eee, 0x641a0346, 0x59de7c8b, 0x8408aceb, 0xeb40c659, 0xa375cc28, 0x41e484d1,
+    0xd35956d7, 0xd624da76, 0x9a247302, 0x0266b263, 0x4ab1ae28, 0x1268452d, 0x14365d57, 0xb62171ae,
+    0x6f29f442, 0x6c554476, 0x696c2505, 0x3f8a0c3a, 0x0b87cf9e, 0x72e9cbdb, 0x7ed3efad, 0xe105aed3,
+    0x1c4289a4, 0x7d565a5b, 0xde864374, 0xdb7fcf3c, 0x4c03bdbb, 0xea89e668, 0xdf6241d8, 0xd2da7dd8,
+    0x4dfdf977, 0x444976ca, 0x6027646a, 0x8ee86ddd, 0x49759ac8, 0xf0f94ea7, 0x334a2871, 0x37099652,
+    0x9804a263, 0xf30fd4c8, 0x164e81fa, 0x5257413e, 0xda1779fe, 0xeb4ff0f0, 0x8424a99e, 0x2ad8b2c7,
+    0x3ce36392, 0x97921bcc, 0x01dbbef8, 0x7594be5f, 0x2552bf54, 0x08713662, 0x5948372e, 0x8663b5f3,
+    0x30275d2a, 0x80f2fee7, 0x9e3a9be0, 0x6ee41d34, 0xb51438cb, 0x5af8d50a, 0x051ea928, 0xa61643a6,
+    0x4843c5c5, 0x8d719a8a, 0xc7dc8144, 0xc3ff374f, 0x987e433f, 0x2a44628e, 0x06ed366e, 0x337ff179,
+    0x5830272f, 0x038cb610, 0xbc0836af, 0x26017a18, 0x26bf3bb7, 0x8b4476a6, 0x91910d06, 0xe209e85f,
+    0x4a3873d5, 0x5fe536b8, 0x7f90aff7, 0x854d383f, 0xbfc4ccf8, 0x62ad208c, 0xe559223e, 0xe29116a2,
+    0xfb0929e9, 0xc626f49a, 0xeac883fb, 0x1869c133, 0xbac69f3b, 0x2351fe8d, 0x35a6795e, 0x967a0300,
+    0xf24e8dd0, 0x0e3a4430, 0xf408a8bc, 0x5db442e6, 0x21aa6bd8, 0xefc13d29, 0xa8f68e8d, 0x51fc81a7,
+    0x56c98985, 0x66439e7a, 0x59b1d605, 0xc5802aeb, 0x2576e27d, 0x5ad68220, 0x3a5a4f77, 0x13ceed59,
+    0x28c7afd7, 0x9c091d71, 0xf13cbca8, 0x9c24147a, 0x4e924cb5, 0xe97d2bc1, 0xa21d226a, 0xaee522d8,
+    0xd923b392, 0x5f9748c8, 0xaf493acb, 0xe9bfef85, 0x9fb472d0, 0xda6ae4eb, 0xdf00f6e3, 0x98bd8cf1,
+    0x9f60d0c4, 0xfcf01035, 0x402e3757, 0x102f97dc, 0xbec47899, 0xd5b9b5ff, 0x0693c56d, 0xaaae5c5e,
+    0x6cba1db4, 0x393a96e4, 0xd976b1c4, 0x88172331, 0x05871983, 0xba43433f, 0xae403af9, 0xfa262a83,
+    0xd2f8f68b, 0xe37bba7f, 0x7cd045ae, 0x97988509, 0x5ae5add5, 0x623415f5, 0x98c8b805, 0x5f3f5149,
+    0xaa9a5eb1, 0x91164590, 0x64682545, 0x34e85b86, 0xce691d77, 0x868c1e6a, 0x053b25bc, 0x491b0647,
+    0x5ce5013d, 0x4c1ed767, 0x7ef28298, 0xbe76c3e2, 0x64ceb619, 0xe21101c0, 0xeb94ff8a, 0x0884a952,
+    0x31f9da8c, 0x248a5a96, 0x19b07c2f, 0xa7bfde2f, 0x9385c72b, 0x042520a9, 0x2220626c, 0x7d99ab3b,
+    0x9275cd35, 0x9bb49d20, 0x81d16733, 0x136dcf10, 0x8ef6d804, 0x233197ab, 0xbfd32e07, 0x22eca5ac,
+    0x1f775fd3, 0x2f854d9e, 0x2a5ae14b, 0xc28b6dc7, 0xd7ce2434, 0xa23765ab, 0x27798e80, 0x450dac70,
+    0x7ff5decb, 0x094d7bd0, 0x86585c84, 0x29676039, 0x9c54ef1b, 0xf0e1c6ff, 0x5450aa20, 0x8d9687be,
+    0x2713d25e, 0xc3697028, 0x6d49e134, 0x562a7f0c, 0x5370ba5b, 0x2c8920a1, 0x207d3ed9, 0x0a6e3284,
+    0xe18a7a61, 0x0b9b8feb, 0x059d4e5c, 0xf8206522, 0x304ed974, 0xc0cdf616, 0x8b31d896, 0x98a1d4b0,
+    0x3cbac8e1, 0x9e2363da, 0x36ed022e, 0xc45a5369, 0x8941ce66, 0x3560711d, 0xd13be653, 0xef45701e,
+    0xa8f0db8d, 0xc9a02cc5, 0x57d5c12b, 0xbe2c67cc, 0x61e1425e, 0xbf5f2b32, 0x65802408, 0x1c9b587e,
+    0x1ef70c68, 0x9eadfdeb, 0x1615f979, 0xb9de8c3c, 0xbcb2cb51, 0x0b5920f5, 0x1b8a8d19, 0x9753c9c7,
+    0x38b0630b, 0x79ef1996, 0x993350b7, 0xf5a3e9a2, 0x23023be1, 0xd0e135d7, 0xcdf29665, 0x419b7205,
+    0xda8a1a39, 0x8511d410, 0xb7768a4e, 0x8c488db4, 0x26eb2741, 0xdc8f89ed, 0x6c65bc6f, 0xce84e7bc,
+    0x949d3818, 0x57f13fa9, 0xb09eac06, 0xfc0da0a2, 0x067f6206, 0x1b60e897, 0xe32464fe, 0x0cfdc895,
+    0x2d7f00b2, 0xb07fed62, 0x0c9134bf, 0xa5201a5b, 0xd40e709a, 0x52e73852, 0x8569e5a8, 0xb5c75527,
+    0xee49fc44, 0xfd8a60ce, 0x6cbbe8d0, 0x8d27f89d, 0x5cd80ddd, 0xdecf5d18, 0x596b7720, 0x0b4c4f37,
+    0xfa7aac9d, 0xa1a379e4, 0x30ac8a1e, 0xd7e65ea3, 0x33d12382, 0x4f810d5d, 0x2953a02f, 0x33288809,
+    0xe54ecc0c, 0x8f8c1b3b, 0xa8be9720, 0x557e9977, 0x8f3dad4b, 0xe1d89c34, 0xfe15981a, 0xc0246f37,
+    0x3f1e3831, 0x606e9550, 0xa6065d52, 0x5f396031, 0xd019b6a9, 0xbe73be3c, 0x5c2e7832, 0x3f1e999c,
+    0x843f8da3, 0x765831a8, 0x8e63c3b8, 0x3388ebdc, 0x8c380417, 0x9265cd8c, 0x29ffa6d9, 0x41634374,
+    0xfd410315, 0x27e5a5d3, 0x5db2e024, 0xc212bb4b, 0x908363a0, 0xfb95e682, 0x6e076695, 0x800f3076,
+    0x9cd42fd7, 0x41c80745, 0xc8d78ec5, 0x80335973, 0x243b5936, 0x469d2531, 0x486d09a0, 0x2c4acbf3,
+    0xb8257807, 0xbfd0a472, 0xebea0565, 0x5d585c68, 0xb3c73e9e, 0xa7cb4869, 0x4c29379b, 0x779ecfaf,
+    0xf6e3a333, 0x84307c86, 0x7b319005, 0xc9dc590e, 0xae49a903, 0xd8dfda2c, 0xd17d15d2, 0xdc0ce556,
+    0x0d929d56, 0xdc858f31, 0xf1af9036, 0xe0a65661, 0xcb1ff1e1, 0xb631f0aa, 0xe10e0813, 0xec61ba26,
+    0x1f693fde, 0xe16bd205, 0x12dae3cf, 0xec589f54, 0xb4ad26a6, 0x742f872a, 0x0f082af4, 0x08a8fd75,
+    0x72d794ff, 0xae27c54a, 0x5a4fe228, 0x0a95b693, 0x535baa8e, 0x34401e5a, 0x950b3f46, 0x7ffe6925,
+    0x8e5924d8, 0x63de992e, 0x8cb10ba5, 0x14abcb72, 0xb39f698d, 0xce0d598f, 0x57791e23, 0x8b111f15,
+    0xc22250cf, 0x88e9aa02, 0x08ebadf0, 0x91116c96, 0xab834499, 0x189472dc, 0x5c1a04c6, 0x4035a7f4,
+    0x1e4aa2b4, 0xcd3209d2, 0x23f87ee9, 0x68504dbd, 0x78afaf16, 0x6bd5c36a, 0x7d0da983, 0xc2ef9a0c,
+    0x34709fc2, 0xfb020b27, 0x6655195b, 0x8b961122, 0xaa959bfa, 0x960d913c, 0x5257b8f1, 0x15e9a300,
+    0x869a918e, 0x38a9f3ff, 0xd36f5ccb, 0x15d40785, 0xd9b467af, 0x1c3b051d, 0x307f6479, 0x0b6b1dc3,
+    0x6e3d8a73, 0x02786cfa, 0x08bd35b4, 0xe9d7beb1, 0xf06351f1, 0x353e2c95, 0xced22ae1, 0x089c639d,
+    0x816922b7, 0x4e9eccd6, 0xbabb42f6, 0xe9d87204, 0x474ebc6f, 0xfc35e9ed, 0xe5537022, 0xc3c836d9,
+    0x8322d241, 0xca0c65aa, 0xaf6c04b6, 0x3fdb53dd, 0x2ac55006, 0x65e45cc9, 0x2730623c, 0x1f999cac,
+    0xa553a4e6, 0x38b8b0c2, 0x2995d4d7, 0xd2fc299b, 0xa6beda12, 0x274c2678, 0x080d60c4, 0x03ac9902,
+    0x52d69e06, 0xfc49acf3, 0x65738fa3, 0x51e6c1ab, 0x3be665c5, 0x2907e865, 0x980586b1, 0x580f1919,
+    0x88ec3696, 0x044134ac, 0x5d6b57c4, 0x74cf7a73, 0x63f6b930, 0x765fcbee, 0x7ec7fcaf, 0xd369b2dd,
+    0xf5620090, 0xeb88ed6e, 0x2ab96a80, 0x652b7d11, 0xa7ba0640, 0x1f6072f0, 0x289a37bc, 0x13ff6997,
+    0xdcc7156d, 0x5b9c2e08, 0xf8834988, 0xdb9310c2, 0x47a4d124, 0x8e00ffa3, 0x85161cce, 0x2f640983,
+    0xe98bffc6, 0x95126cee, 0x244f1f4d, 0xe0767e90, 0x3a82b2bd, 0x6285f2a2, 0x7a8de1bc, 0xf703ab61,
+    0x36eca733, 0x5a15f65d, 0x9e3d1f39, 0xbe5fdcda, 0x005d4672, 0x11409cb1, 0x6e08cdaf, 0x731d0ea0,
+    0x13019e26, 0x4dd276cf, 0x47258da8, 0xb09be36a, 0xebebca2c, 0x97eb1ade, 0xdc59c8a9, 0x0d993950,
+    0x23dcc992, 0xb55a8720, 0x67d1ac1b, 0x5e966859, 0xb3d58987, 0x26f275ea, 0x46c668d0, 0xc76493af,
+    0xc89aede8, 0x2ebc75f6, 0xe14f2b3b, 0xc151708a, 0x0514c570, 0xd88802e5, 0x3024d8c0, 0xa605a410,
+    0xef0dbfaf, 0x7392d9c9, 0x7781215c, 0xd48f3639, 0xe3ad2370, 0x93c0eaf7, 0xac2542a4, 0x509a04ca,
+    0xb103a192, 0xc8788901, 0x64ee7b29, 0x85cfe7b8, 0x4b3e6f19, 0xf563dc87, 0xa84aa942, 0x942ac6fe,
+    0xe5c0c5e5, 0x19e712ce, 0x2cab57aa, 0x90d1db45, 0x6379c186, 0x4b793390, 0x5046e2f3, 0x6b1805bd,
+    0x62637cfd, 0xbd039c61, 0x45f18ae5, 0x32c9501d, 0x1c5a807b, 0x9aa7e9af, 0x6b95da33, 0xe716d9f5,
+    0x9f89cf1b, 0xc4dff71b, 0x4fac1fd1, 0x4c4f97bd, 0x0797793c, 0x5d2fcf70, 0x6bb0a157, 0x2cfa60b5,
+    0xd89ec591, 0x6ebdab87, 0xdafe883d, 0x29dbaa51, 0xd9ba3ddf, 0xbabf4369, 0xabd8d16b, 0x3deb3630,
+    0x30366bda, 0x36b3b01c, 0x8d5a4597, 0xbb240fbb, 0x2fa98cca, 0xd3867d85, 0x1a4ecdaf, 0x3706bf43,
+    0x902da62a, 0x6491a5c8, 0xd79a62b8, 0xeef90e69, 0x6ac12b7a, 0x8c324aa4, 0x214b0be5, 0x16449b0c,
+    0x6fdfe1ad, 0x77920b6f, 0x465bf73f, 0x7202abb7, 0x24312e06, 0x1ea89499, 0x386e1244, 0x5dedba26,
+    0x8413685e, 0xb01a7cb3, 0xbfc59ea1, 0xeea6439e, 0xb9059ef1, 0xb5d808b2, 0x1b8e2fa7, 0xa64970a0,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000144115188075855872 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e1, 0x2f346e2a,
+    0x00000000,
+    0xfb4a88c1, 0x6d638e1d, 0x1cceb722, 0xd3eea53b, 0x39633dae, 0x4238d578, 0x9ba21fdb, 0x75cf1d46,
+    0xa7dc3a17, 0xda498a87, 0x54c7bd49, 0x4c36e95d, 0xe2df20b4, 0x921043fa, 0x7d81e419, 0x38b49f5c,
+    0xc6a77b0c, 0x18465501, 0x6db0230d, 0xdb39d00d, 0xed4238ae, 0x5afb3519, 0xdcf94915, 0xb1de3129,
+    0xa7e473f0, 0xbc484eb3, 0x17c7b369, 0x54981afc, 0x648445be, 0x06d4fd50, 0x4aaf2013, 0xfcea2a21,
+    0x878c9966, 0xfb655b6a, 0x8c137729, 0x542fa18f, 0x101a2741, 0x1a7ccfb2, 0xbd4df40e, 0x429db060,
+    0xbd4c6de2, 0x0e45ae68, 0xcbbc4bf9, 0xc7471efe, 0x9ffdee19, 0x4735f3cd, 0x6f62ebef, 0xb763681e,
+    0xf112ecb5, 0x2896d429, 0xf2b7cf12, 0x86e140b2, 0x4c97c526, 0x83904a5a, 0xfc8a7644, 0xd33f8b5e,
+    0x7d483294, 0xb74714d5, 0xd1a368fd, 0xb703285e, 0x36d46285, 0x07da7ebd, 0x84d770b2, 0xd2357da0,
+    0x2f8331b0, 0xdfdf55d5, 0x09b7b3fe, 0xd94765ae, 0xae40e494, 0x02968aff, 0xafaeb1c1, 0x530dd373,
+    0xb7979328, 0x833b8375, 0x6a97d4ed, 0x334452ea, 0xdef11220, 0x3e5fd73b, 0x9288501c, 0x40d62a1e,
+    0x3bddb18f, 0x48371b97, 0xa5d5c7be, 0x66057b09, 0xcc4f697f, 0xc7a6ff2b, 0x65257a0c, 0x762ce0d0,
+    0x247cd873, 0x4b4744c1, 0x2b6d7c21, 0x8c927b73, 0xbfcca021, 0x44bf489b, 0x0ce64d01, 0x0e1a52ef,
+    0x56ad77ae, 0xb2af4a9c, 0x0bcc2087, 0x9a74168e, 0x3fa2b042, 0xc55052f6, 0xec848610, 0xf5869f27,
+    0x9f33d631, 0xcd340a7a, 0x59f300cf, 0xbd183205, 0x643f214e, 0xea699a51, 0xcad701ee, 0x654d5ee2,
+    0x2f8d1d88, 0x6dc8cc26, 0x27c286c7, 0x20630dfa, 0x6de5c9cf, 0xfedb5bc0, 0x13dce90e, 0xb8cad5bd,
+    0x02bca65a, 0x0a714b2f, 0x5507b651, 0x32b16268, 0x63da0d84, 0x774055a1, 0x7f1cfd6d, 0x781a486a,
+    0xc6442aba, 0x14f515b4, 0x4fcfa5b3, 0x596a69cc, 0x7f4cfd9e, 0x8019f429, 0x93ca8a5b, 0x09ec5000,
+    0x3aa24d52, 0x43855ee5, 0x83819d6a, 0xdfaf1872, 0xe07b978c, 0x31e7faba, 0x41c328b3, 0xaa48a28c,
+    0xe4556f66, 0xd36b0e9d, 0x796897f5, 0x5652c4a8, 0xd0ae5007, 0xeeb161ef, 0x17940ebf, 0xc0c80dd7,
+    0x384a72c3, 0xd4299f88, 0x1b0c1f5c, 0xf438faf0, 0x6f989569, 0x2dc532da, 0x1a6bc24d, 0x37074b25,
+    0xea6f961c, 0xaa5e6a16, 0xcfa93afd, 0xe88f9adc, 0x32191ff2, 0x365c3d70, 0xd734a8a7, 0xa5552646,
+    0xe3bcf3dd, 0x171736fe, 0x5bf216f2, 0x2a6524f0, 0x3cefe7a8, 0x8e43cbfe, 0xd9c89db2, 0xa16b7532,
+    0x91297a49, 0xb2bcd807, 0x69670498, 0x814dcb80, 0x0ccb4f3b, 0x676bb2cb, 0xbb8b4427, 0x90c45196,
+    0xb3ef3834, 0xcbf114e4, 0xbf4484e8, 0x77f34d4e, 0x857137f6, 0xf14ef731, 0xc824d6f9, 0x190ac4fd,
+    0x0f69796c, 0x785bf67a, 0x407a50be, 0xe8e61a06, 0x68d427ab, 0xc0661bb2, 0xa6317b27, 0x71bb6b81,
+    0x04a6cd36, 0x513220c2, 0xac4977fb, 0xab02fbbb, 0x6fb56e5a, 0x7313c7c5, 0x309047fa, 0x6d2fdd64,
+    0xdfd53618, 0x55065ccb, 0xe8ee1706, 0xc34e47f7, 0x173a53bb, 0x54ab565c, 0xbbb8171c, 0xf944c9ca,
+    0xd94c878a, 0xfea11b35, 0x39044771, 0xe5d58941, 0xf0b810fa, 0xe4d9c670, 0x827e7f8c, 0x5d1a7b12,
+    0x9d2a9028, 0x88e9ba2e, 0x49aa4ca7, 0x23878f99, 0x5c173e7d, 0x17095627, 0x0fd04bf5, 0x83453cce,
+    0x0e6b719b, 0x64e5ceac, 0xc251aa30, 0xb9a0a46c, 0xe4a38502, 0xbc15759b, 0x395c2b83, 0x2010ea29,
+    0xd20a4063, 0xc9722aff, 0xa2f27e9f, 0xd6488b31, 0x5dcbd9a4, 0xe12645f2, 0xff8e7f8d, 0xac19b61d,
+    0xcdb27f23, 0xe90aab0e, 0xf07eb506, 0xf3196872, 0xdbb11b2f, 0x4a22640f, 0x75ca09b4, 0x3fa39c5c,
+    0x4ed42002, 0x69cbd915, 0xe06d457f, 0x16668e2f, 0xbab563ab, 0x48c3fdc4, 0xc49ed506, 0x7ad7c5e5,
+    0x83fa76e3, 0x91b6bb4d, 0xadebbe9e, 0xb3549123, 0xcdf223b8, 0xdf390387, 0xe4489c50, 0x57d94165,
+    0x71f27067, 0x895e6cbf, 0xb39ef8c3, 0xbe379177, 0x4ee564da, 0xfa550d2d, 0x2f864ef2, 0xbfeccf2a,
+    0x18465fee, 0x86e46b3c, 0xd49e906a, 0xd6726678, 0xdf244bf1, 0xafc861d7, 0x8d1b0368, 0xe2315b72,
+    0x9ec20c39, 0x51303f3e, 0x26e86ea9, 0x84d8071b, 0xd60a9055, 0x788ae7fc, 0x0876be65, 0x128fbcf6,
+    0xb87eab92, 0xff1dd911, 0xe15e3adb, 0x4859552a, 0x199da869, 0x3b6e8ab4, 0x7b3941fe, 0x599a0b17,
+    0xaeefff96, 0x3e0c37ed, 0x90a2c13e, 0xad98e1d3, 0x3e63b715, 0x77662e88, 0xab0f6c25, 0xb3cb3c29,
+    0xfcf3ea4c, 0xc813fb12, 0x02c9bca1, 0x2223c176, 0x2bfa8586, 0x36f8a20a, 0xd236609e, 0x1b5c5b46,
+    0x12b5cc2b, 0x4d0484ef, 0x930b615d, 0xf0cb5323, 0x5a80f7af, 0x756fae0f, 0xaa4bdc52, 0x804c2a2d,
+    0xfaf13d65, 0xba441362, 0xb942a6c2, 0xfbbdb07e, 0x4723bedd, 0x823bab40, 0xd7a39965, 0xdbca1714,
+    0x76b50b46, 0x0519a7ca, 0xf0e9c707, 0xfd748acc, 0x961b0dea, 0x6303a9c5, 0xfc9d4412, 0xd8e05ae5,
+    0xaddafdc3, 0xc25d0307, 0xb12e384d, 0x7da28a63, 0xa84ecf08, 0x9baccd2d, 0x44de12c1, 0x5beb60e2,
+    0xf88a9824, 0x8dc1f729, 0x020469c4, 0xf03177c0, 0x698f0ce3, 0x65890c62, 0x35e51c73, 0x2d10f3b3,
+    0xae487b85, 0xc1290010, 0xec27bb17, 0xfee46c8c, 0x137faedf, 0x39cd2ec3, 0xffe844e9, 0x54963b6f,
+    0x08628526, 0x520579d7, 0xbbf9dfec, 0x85e2b240, 0x185ecdf6, 0x7cab29f7, 0x7ae07a68, 0xfa1671a7,
+    0x45d134c2, 0x0d273a7c, 0xb8b22d5d, 0x5dbe7a9e, 0x7e48cef2, 0x65b6cc1f, 0x46131a78, 0x3b1edb47,
+    0xbdb631df, 0xec8fe0af, 0xfbcf03ba, 0xc20ff2b7, 0x48b8c3b4, 0x97b05c6c, 0x5144bfe5, 0xa48ea073,
+    0x1b319d55, 0x81a7abce, 0x734aa07f, 0xfc40387f, 0x93125f69, 0xad52880a, 0xad2cd530, 0x5c2f98d0,
+    0x3f46cafa, 0x32acc83b, 0x3a16e8e5, 0xb4b264d3, 0x5aaf66ec, 0xe66bea72, 0xa9828bdd, 0x99f6b597,
+    0xa0722f6e, 0x9c25fb17, 0xb4115b50, 0x45dd25cf, 0x9e4a9d51, 0x5ff22e6f, 0xd3922595, 0x6c6ebaad,
+    0x511bece4, 0x105c64ab, 0x25a9edf1, 0xad98e622, 0x0f1ec701, 0x3bf174d3, 0xf119bb87, 0x0ca05c6d,
+    0xe934beb1, 0xfde069b1, 0xd7d75bfe, 0xc2cedb88, 0x911e5f2d, 0x54e3e7cc, 0x44a2da8b, 0xa298ee6f,
+    0xb17a7de7, 0x92b9aef7, 0x4375ad7a, 0x48e31495, 0x787d57c3, 0x9f0d91b1, 0xec9f51d8, 0xe6c1b5a2,
+    0xa034a486, 0x7e09c504, 0x50e261bf, 0x64701128, 0x13876089, 0xe8d0e460, 0x9e7ff17c, 0x5891aa9d,
+    0x3c46f72f, 0x0fed9f9e, 0x211213dc, 0x2602c646, 0x16a648b5, 0x27a19d74, 0x0f40b7bc, 0x042624db,
+    0x0a9780fb, 0xa1af55e5, 0x7d34bb81, 0x950ac741, 0x9183948b, 0x037d1667, 0x8a04b04a, 0xc477a07a,
+    0x9806e945, 0x527f1c86, 0x5de85764, 0x4670bc97, 0x0c0bdbd5, 0x25f294e2, 0x8f690d53, 0x4c8e14d1,
+    0x9f06e28d, 0xc396f364, 0x0e61443c, 0x83ede256, 0x172e27fa, 0xbebcbb9e, 0x71ac8c67, 0x4f68bb0c,
+    0x10f6e9f9, 0x95bbefef, 0xef494ad9, 0x8a291fa3, 0x315d50f8, 0x308207ad, 0x79c814fa, 0x71fe3a47,
+    0x62ec16c0, 0x23d6f8f6, 0xa71ce174, 0x7dd02718, 0x8f40c41b, 0x3899ec2c, 0xbc7e9d18, 0x73ac3877,
+    0xee204363, 0x8b5ef87b, 0x3fbe443d, 0xc2f76051, 0x67757097, 0x45e449c0, 0xce384ab8, 0xf342901a,
+    0x523c7cdf, 0xb611469e, 0x37eb77f5, 0x13e8aa6e, 0xaf9480b8, 0xf252e672, 0xdf839743, 0x666b2c7f,
+    0xb99d801a, 0xba64fb66, 0x40b35dcf, 0xd688ffcf, 0x13de2de6, 0x93db6c09, 0x8e319ad8, 0x0bec8f39,
+    0x75359ecf, 0x7e8ebdf0, 0x2cfff397, 0x2e3dc923, 0x498a1f3c, 0xe9eeb76e, 0xcea65f6b, 0xb07001cd,
+    0xef59bc11, 0xd193b85a, 0x764f3cb8, 0x7884ea7e, 0x0f3246fa, 0xef9e446e, 0x6bc9b2dc, 0x1de0ec4a,
+    0x61a7980e, 0x6c54c969, 0x0f4c78b5, 0x46e2cc11, 0xef7fbe3f, 0x3b8144df, 0x6394ed1b, 0xf05b758d,
+    0x29585444, 0xcc2cf07e, 0x9ee3e175, 0x1717de61, 0x6a829e95, 0xecd5e635, 0x089aee4f, 0xc28fdac9,
+    0x63ba84db, 0x65a43934, 0x6fa48c7b, 0xa41bcf4e, 0x61a2ecfa, 0xdba9a159, 0x220f9bb8, 0xd310f05e,
+    0x817f88fb, 0x29892d81, 0x19a19ffe, 0x0a75f4e5, 0x91f38f70, 0x015636ae, 0x482c81a3, 0x9ed5b92d,
+    0xcc835414, 0x05ab7a78, 0x35ef9c1b, 0xfbf0614c, 0x197cedca, 0x08669966, 0x1f1cbeaf, 0xb90781e6,
+    0xdb0ce3ab, 0xb706ded7, 0x24c5b1a1, 0x64c1eefa, 0xbae22161, 0x3826dbdf, 0xec0be497, 0x054dd935,
+    0x11990098, 0xe4bebd88, 0x8bdf8aba, 0x216721b3, 0x6b9eec29, 0x3d1dda05, 0x9c7c5ada, 0xb7a52c8a,
+    0xc9a086b5, 0x8bfdb9b2, 0x7c168647, 0x0f9bc3ad, 0xc10cda69, 0x5362f2f5, 0x868948a4, 0x54c39f2d,
+    0xc1598919, 0xd842bfb3, 0xbf5f3756, 0x5254df57, 0x676f8439, 0x309946f5, 0x8af12706, 0x525565c4,
+    0x010b2d9d, 0xfb1fefd4, 0x1415bbc0, 0x2f5abe74, 0xb4924b2b, 0x86873f57, 0xd2d2216b, 0xd2119bb6,
+    0x501034f1, 0xfcb4bb16, 0xfc6a54fe, 0x3fae20ce, 0x7927fdd0, 0x85e3035d, 0x8fbeb686, 0xfa06c02e,
+    0x7637396f, 0x0e41c461, 0x57345c42, 0xed74c71d, 0x6d0eef0f, 0xa9f368eb, 0xdd472618, 0x7b6dd064,
+    0x306685b4, 0xe204801b, 0x0ef524c4, 0x23f69695, 0x89a50dee, 0xae04f11f, 0xf755fedf, 0x689b836d,
+    0x0d313982, 0xadf01829, 0x95787ba7, 0x7c681b37, 0x853b282f, 0xcc6ccc88, 0x85d30a9b, 0xe7b1bae6,
+    0xf51ae1d0, 0x7e3b7660, 0xffbb70fa, 0xb544090f, 0x21313308, 0x0737c84b, 0x67dd5204, 0x0cc945ad,
+    0xd918f5b8, 0x4cbe0244, 0x15482484, 0x19c3ed12, 0x1f397e54, 0xb05a2fdd, 0x573f0e9d, 0x2455cd44,
+    0xfc136d99, 0x54f789bb, 0x436a9f51, 0x827551df, 0xa0672e78, 0x544cb4b5, 0xe5ef1af4, 0x0c6a410f,
+    0xabeb8fd4, 0xa7edc211, 0x999c9123, 0xb56efacc, 0x8f0e99b1, 0x1c0972c3, 0xae3ea396, 0x0cd4c098,
+    0x98ed5642, 0xf8ae6e57, 0xc4ee82bc, 0x1319d5cd, 0xd4b21c87, 0xa22a1fff, 0xd749c62b, 0xce0b6635,
+    0x0c2c9f9c, 0x6297191d, 0x5710f65b, 0xf33a342a, 0xd66ebdf4, 0xf1cbf96f, 0x6efe1e74, 0xf4b07479,
+    0xb1d9d26f, 0x825e54b6, 0x6ae48353, 0x5ffd7f65, 0x06b75d40, 0xdaf82c1e, 0x12df53bc, 0x7e4cecf6,
+    0xd5d2daca, 0xe2e55350, 0xdfe7f5e3, 0x9d719ec3, 0x020de6ac, 0x1a03ab86, 0xb9f500c4, 0x7499e9e8,
+    0x3d36e48e, 0x692a5c53, 0x283f7199, 0x58162769, 0x341a9910, 0xba3ede65, 0xd6bca0d6, 0x50234e38,
+    0x2766f838, 0x9908348c, 0x7d2d2903, 0x9c7f31fd, 0x7ab58d6f, 0x87f19704, 0x727bf03f, 0x2c33322b,
+    0x69a9e37c, 0xe633a0dd, 0xd02a7548, 0xf2f55775, 0x35826d38, 0xb1677f4f, 0xca2363d5, 0xb01ee684,
+    0xd1c7c8d3, 0xa1d66707, 0xe3c91162, 0x4af937a6, 0x64ed6fbb, 0x388882b4, 0xdab9dabc, 0xf8727cb4,
+    0x6f1fdcda, 0x314cf6c2, 0xdb4ff54e, 0xf190f7d3, 0x2ef4a64c, 0x0f62814c, 0x8132f296, 0x3a200392,
+    0x8b9ac073, 0x8ec57504, 0x3ca2b8a3, 0x3900d2a4, 0xfa05c8ec, 0xb6b2fb6e, 0xb5100e35, 0x9df9b73a,
+    0x262bd179, 0x42c56872, 0xe021ce41, 0xa4770dea, 0xd51921c7, 0xc388cc3d, 0xf0f27a70, 0x6db58a7e,
+    0xb3633c7b, 0x7bd90cb3, 0xc67964f7, 0x075266bd, 0xf44252e6, 0xb734cdad, 0x50a9eca5, 0x1eb61eb7,
+    0x73fd32ba, 0x0d6c69c3, 0xea1b6bea, 0x6a083370, 0x038fe958, 0xeab1690d, 0xc7cb4c9e, 0xb6aa5ad7,
+    0x537679ee, 0xdae2c63e, 0xb4f9c313, 0xd1b4a4a8, 0x1e5b2c7a, 0xadfce19c, 0xb03c482a, 0x478a6fd9,
+    0xcbc83f60, 0x6c728a96, 0xd67d36bb, 0x901ab008, 0x9f54f40b, 0x395fe234, 0x019409b5, 0x2ac34d14,
+    0xdf0bf195, 0x049feb2c, 0xef863346, 0x9e52d6a9, 0xc9eb83d9, 0xcec71171, 0xc69062f3, 0xfdd48883,
+    0xc62c57d3, 0xfdd08fbc, 0x412d4562, 0x074b253b, 0xbf67c34e, 0xc55ec0cc, 0xc61949b8, 0x314c18ef,
+    0x3e31cf2d, 0xaee701de, 0xfdf22c55, 0xd4214ee9, 0x961b075f, 0x063fedc6, 0xfe087375, 0x0de40298,
+    0xec690e2a, 0x6a23b312, 0x8ebda630, 0x137164a4, 0x383119cf, 0xa7aba68c, 0xf0609438, 0xcfc63ad9,
+    0xfee68346, 0xb82db073, 0x4957198a, 0x6b6b8c38, 0xc00cc31e, 0xa18f3933, 0xd748fa31, 0x28ed2e28,
+    0xafbe1815, 0xbe286c3e, 0xd80f9684, 0xef9adba7, 0x71523eca, 0xa2f6fefb, 0x2c4ca48a, 0x3a82e669,
+    0xcd60aacb, 0xb553eca2, 0x494f2c20, 0x48fb24df, 0xf62eaa49, 0x96d568ce, 0x587b13d8, 0x669c8a18,
+    0xcc920782, 0xc6270435, 0x380f8dd5, 0xdf6de5ad, 0xa136c8a9, 0x1a35e607, 0x9d7623a0, 0x7888e09e,
+    0xd1ca3809, 0x5eab6b10, 0x1ef619bf, 0x1b6ba526, 0x12153cbb, 0x5760c63b, 0xa3d01a8e, 0xc59a9bc9,
+    0x93945a6a, 0x581b5e8d, 0x2ba3f07c, 0xd8292b16, 0xf92ddc13, 0x7c401daf, 0xa5a31de6, 0x3c37fca5,
+    0x789b0b04, 0xc0c98b77, 0x8072d2c4, 0xb05f66f1, 0x6b089033, 0x2af2e9f0, 0xde2bbac9, 0x2583e8af,
+    0x5e0593db, 0x70642519, 0x069837ad, 0x622d1c29, 0xd9483276, 0xcb2f614f, 0xfc58624c, 0x34cafbcb,
+    0xa236973e, 0x43fd72f2, 0x59f4e2de, 0x0eca0a32, 0xc6b08329, 0x4c66c312, 0x34505417, 0x051ff5ae,
+    0x064f6cd7, 0x15bb09ce, 0x60a1dd31, 0x7d483bbe, 0xd74bf16c, 0x6055eb12, 0x2b773ff8, 0x5337b1c0,
+    0x03502ebc, 0xb607a391, 0x3e2aa515, 0x790f18b9, 0x9ef86bfc, 0x400662ed, 0xc5634536, 0xbc370474,
+    0x5e124409, 0x931cdc1e, 0x4d662024, 0xa931a310, 0xd28e5a01, 0x7984e2f8, 0x8f71c722, 0xa1d5f007,
+    0x3c486da4, 0x1f5f1be3, 0xa2256e78, 0xfa8f2e58, 0xf1460340, 0x4442ca0f, 0x34f0d922, 0x801dca65,
+    0x2b5656bf, 0x169cca0c, 0xc3a60911, 0x06311d7a, 0xecf8b886, 0x51269583, 0xdc889add, 0x40b8b081,
+    0x3f97910b, 0x244dee69, 0xcd13a338, 0xa50fc26b, 0xa249f928, 0xbc58972e, 0xf711509d, 0xd558f3b5,
+    0xfa7d3a0c, 0xaa044d7e, 0x2398483c, 0x3d058e80, 0x366fe977, 0xbeb537fe, 0xda0b6fb0, 0x7437613f,
+    0xe52a7329, 0x6e81fce3, 0x9a297a7e, 0x83589d04, 0x1459d1c7, 0x29eb76cd, 0x5f2546b9, 0x0015c8ab,
+    0xc7b1e316, 0xd10961c3, 0x47ce0e52, 0x3a31c739, 0x0a886562, 0x612fa3e6, 0xac34133a, 0x7a2b5af7,
+    0xa0f463bf, 0x88e2cacd, 0xe314d718, 0x39ff4276, 0x2bf595a4, 0x0dcf573d, 0x80495398, 0x43782ca0,
+    0x110f132c, 0x20210102, 0xb6168804, 0x2644b9de, 0x4edbb2b0, 0x4b666628, 0x08af7895, 0x0e206d57,
+    0x5200dfc6, 0xfbc97007, 0x2a9581fa, 0xa022c537, 0x0c7e19bf, 0x75411928, 0xe107a405, 0x5a1d4df1,
+    0xa1c06aae, 0xe6c1eec2, 0xfafa8e72, 0xaf9a9215, 0x73e6c282, 0x7cdb8b5c, 0x21350440, 0x81d51d33,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000072057594037927936 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934f0, 0x979a3714,
+    0x00000000,
+    0xfda2783b, 0x36a15076, 0x4bb55a50, 0xa4b8b0eb, 0x74160272, 0x3b1b798c, 0xd546f0c0, 0xcd570b0c,
+    0x3b9844c8, 0x427c8e86, 0xb15c6a4e, 0x70551459, 0x7059d3d2, 0xbcaed33a, 0xbbb922c4, 0xaf9d7c1c,
+    0x51c061d1, 0xfaf482dd, 0xa276f585, 0xe43fc44b, 0x5593f45c, 0x8106d6ca, 0x1c3abb38, 0xf6874bcc,
+    0x78b1be1c, 0x6d3141cc, 0x7a332fb7, 0x13ce8588, 0x586f2a70, 0x988dbc26, 0x68f4facd, 0x2b13a103,
+    0xc9814a11, 0x203cedf6, 0xe41343e3, 0x4da73081, 0x863d107a, 0x379524f8, 0x08a30a35, 0x79216549,
+    0x95c13747, 0x2b983416, 0xb954b234, 0xfa07af97, 0x8fd4e51d, 0xa2a5981e, 0xc43a67d0, 0x78363d68,
+    0xfcb22a09, 0x7bfad8c0, 0x6ea4c412, 0x1d23c31b, 0xb805e95a, 0xf52e9db0, 0xcf5c8e2a, 0xac02cf36,
+    0xee3916ff, 0xf394624f, 0xcd5ea2ff, 0xe8a89676, 0xe4ac6395, 0x1a909b08, 0xa9d2ca29, 0xeace0a67,
+    0x0f04115a, 0x42281b84, 0x6227dc7c, 0x5b19d1d8, 0x695f8e96, 0x4ef3bd77, 0x455deaff, 0x7df9db91,
+    0x852e26c1, 0x3fddf3cd, 0x3285e847, 0xfaa3ee7d, 0xf55224d1, 0x51f6b7f0, 0x61cd0489, 0x946cca1a,
+    0xc7e053ac, 0xd2c8c61f, 0x2da70e76, 0xcf6f9dfa, 0x9283c131, 0xac174afc, 0x31b9090b, 0x4328d755,
+    0xcc474725, 0xca68c4e6, 0x4c886c93, 0xa62f3cc6, 0x9abb95a7, 0x5cfd18ac, 0x25115d6d, 0xc4bb4e7b,
+    0x30dcb1cd, 0x66fdaf5e, 0xaee4e1f9, 0x56a08fc9, 0x8112622f, 0xd6e7a28e, 0x53cbc375, 0x3de3dfaa,
+    0xeb456c10, 0xb1c95196, 0xe6260e9e, 0xf495e71e, 0x2e76ade7, 0xf9b3d384, 0x9d390f1e, 0x5fdf9178,
+    0x8aa24583, 0xcb843f73, 0xc3c9976f, 0xeb041bc9, 0x6039774d, 0x220c287f, 0x92e2a7d4, 0x548581bb,
+    0x746e8e8a, 0xe1f50624, 0x46949ca6, 0x66d777a7, 0x0e987e54, 0x8d9ba79a, 0x2de0dfc1, 0x0d675b78,
+    0x3928f359, 0x6bd26a53, 0x3d1c67a2, 0x417a316e, 0x191f7550, 0x101aa6c2, 0xa0e2d088, 0x723bc5b6,
+    0xc0d0ae2b, 0x9c8107ee, 0x2335f421, 0x2c3be3a9, 0xf44e5426, 0xe9fb1057, 0x28f8993f, 0x0e157432,
+    0xfaaf0777, 0xc0538076, 0x5e0554e8, 0x5b033707, 0x4c7ff7d6, 0x13ffad59, 0xe9f27d80, 0xd5ae9c01,
+    0x7d137e3a, 0xd444e921, 0x61ac0e60, 0x26029ee5, 0x922af81f, 0xb4f64fb6, 0x224c2f53, 0x0247209a,
+    0x730af434, 0x46a82f9c, 0xabe03236, 0xa24216d3, 0x5316d538, 0xe4384d9c, 0x51c90f30, 0x3cb95fcb,
+    0x73a85679, 0xa6136b77, 0x2543e2c4, 0x4dbd6976, 0x1d47b5c8, 0x377a58f3, 0x8e8a685c, 0x414e636a,
+    0xaaea3b31, 0x21cdf9e2, 0xd9139312, 0x22f08c93, 0x178aec0e, 0x48967c50, 0x379e1494, 0xe3c0711f,
+    0xccf2f1f1, 0xcf1318e7, 0x6084c0f5, 0xe153c285, 0x59f72ebe, 0x3b438297, 0x16f6e1a7, 0xf5c2e5bf,
+    0x178f7d8b, 0x593b13f8, 0x535f12a8, 0x19cbc862, 0x331a288f, 0xf87ebbcd, 0x7237de48, 0x0990ad5b,
+    0xfcfb6a70, 0x5e36fe22, 0x9db6052b, 0x0ff3a8db, 0x7e73dd11, 0x57f0dcb2, 0x1cc73605, 0x13d7d6ce,
+    0x7dbf95c8, 0xa703a2df, 0xab668681, 0x3f910b55, 0xd187ad68, 0x40e35f3f, 0x124b7551, 0x40fe59fa,
+    0x6d1f14ef, 0xb6732b17, 0xad23fd3b, 0x7392c266, 0x89331438, 0x8fda86b7, 0x9602e2aa, 0xe074846b,
+    0x5ad7727c, 0x4fd48762, 0x5a55569c, 0x5f816f2b, 0x3402f32e, 0x8cb032c8, 0x11324099, 0x1a3f98d9,
+    0x85d3b134, 0xbedc2fd1, 0x6c5476c2, 0x632d1686, 0x63888b87, 0xdbe7dff2, 0xc8583488, 0x821a67c5,
+    0xfaaf7cab, 0xed45145e, 0x90970008, 0xe70ad8f4, 0xa6d8f668, 0x1ba9f2ff, 0xa6e4ef83, 0x7c3c6d8f,
+    0xf6cd5f14, 0xb19adaae, 0x285bf8a8, 0xcceef5ea, 0x2ea4f436, 0xcb8fa1df, 0x3a685ba4, 0x52a6244b,
+    0x8736f63b, 0x8029b87f, 0xa9ccf1eb, 0x89cfca5f, 0x7021937c, 0xa6192f19, 0x70453d1f, 0x8185c81c,
+    0x2eecf3e7, 0x9f694c71, 0x2ccc09c3, 0x28ea9e6f, 0xf1987f5d, 0x997cfa3c, 0xc2cec34b, 0xc3ffb845,
+    0x9df96b76, 0x128f305d, 0x121ca07e, 0xef59b853, 0xe8eda480, 0x4fc2dd79, 0x08826e14, 0xea90cfd0,
+    0x3722d349, 0xa77917d2, 0xcfb87934, 0xe3ae8448, 0x299e80c2, 0xf037e85d, 0x63d28237, 0xff745345,
+    0x7e7d2b34, 0x854dc201, 0x7f532733, 0x2bb0dbbd, 0x7aca1a05, 0x9b63e629, 0x3e0472b6, 0x8abcffe8,
+    0x5b7bdf1d, 0x38868eaa, 0xc388bb80, 0x2ab62224, 0x30adc872, 0x16ff0155, 0x0be873c9, 0x019667d9,
+    0xd7a9e9ad, 0xf73554de, 0x0dc50fbf, 0x97beae66, 0x12756569, 0x332a1466, 0xe12a7588, 0x2fe1003e,
+    0x574535c1, 0x262fd2c3, 0xe7ac0a8f, 0x4c116410, 0xb8088f8c, 0x63c93aaa, 0x35c14624, 0x8995d16c,
+    0xcd0d7660, 0x5143ddfd, 0x60605da6, 0xf1185aa4, 0x14224a4c, 0xcf0e20b5, 0xa65a5031, 0x17f9dded,
+    0x0b6c7dcf, 0x04878286, 0x07b086fd, 0xf26b21f7, 0x212c5a62, 0x5184add7, 0x1c877ba0, 0xa747100d,
+    0x032d22b0, 0x86c95429, 0xabf0fc0d, 0x991d9180, 0x55304d51, 0x072015bf, 0x836d8b81, 0x4205f2be,
+    0x610bfd09, 0x32d80934, 0xf9cf8127, 0x97f4cf0f, 0x68e2b3ac, 0xc2c19af0, 0x4bf32530, 0x923df606,
+    0xa524c7eb, 0x16f48de4, 0x7b76bf79, 0x88ed601d, 0x28fa347e, 0xc7c374c2, 0x4902ab77, 0x8bf56dfb,
+    0xda84cb5e, 0x13de4b81, 0xff7cad69, 0x9425032e, 0x8f7ae8c1, 0x4e96aec8, 0x33e8b929, 0x18d5d9a2,
+    0xe673e9b6, 0x1c462edd, 0x234ac6df, 0x506588d1, 0xb2670eba, 0x01ab8b9c, 0x234143e5, 0x6eaf84f5,
+    0xa3188510, 0x1e74f933, 0x36640b06, 0xdce898e9, 0xb4c76fe6, 0x2a0480ec, 0xf7976966, 0xd0b931e7,
+    0xf52488e2, 0xab938b08, 0x0a5291ee, 0xcbb32066, 0x34a2f804, 0x1cf6cad0, 0xe60be28f, 0xbfb3e275,
+    0xf56509f3, 0x16d27a26, 0xeb105c56, 0xabe49c07, 0x154210c9, 0x16823e16, 0xc6bb4a79, 0xf433c27f,
+    0x62ede768, 0x82e7d22e, 0xf21d5c3f, 0x726bc08a, 0x5ca224af, 0x22e59f0a, 0xe55e776b, 0x278fda88,
+    0xaa38d153, 0xc1d524b8, 0x4f4eede6, 0x0b603ef5, 0x960acfff, 0x658d6e72, 0xb92e456d, 0xb49772cd,
+    0xc9a27ec7, 0xa589cf6c, 0x83faf3f9, 0x4ee36a76, 0xc5ebec3b, 0x32523e96, 0x8c5447ff, 0xaf1cfde5,
+    0x05f1d1e2, 0xd7ff35bc, 0x2e388481, 0xd0caed68, 0x78438ab8, 0x27702c10, 0xd35493f4, 0x351ce8f4,
+    0x7733a42c, 0x54663fc9, 0x7cd92adb, 0x9369fe1b, 0x3fa23792, 0x7ce7dd56, 0xf7ebdb64, 0x2f910a78,
+    0xd8860104, 0xbd2bb421, 0x805bdc01, 0xda57629d, 0x78696631, 0x90166698, 0xccb19bbb, 0xd5744641,
+    0xdf590313, 0x51ed3394, 0x1f99df3d, 0x4256a81b, 0x2246e531, 0x3c29c1d7, 0x2cf99bf0, 0x528d533e,
+    0xb17e02d6, 0xc7662ef5, 0xe75dba57, 0xe1e7b34a, 0x7912a448, 0x14e31501, 0x32a15782, 0x1cc3d902,
+    0xfa7c676e, 0x51af8a1f, 0x20986984, 0x0077d9f4, 0x1b409918, 0xcd655341, 0x6905ddac, 0x5df2028a,
+    0x062d5f81, 0xac2339ea, 0xe4ffcb97, 0x9f85f406, 0x0eb74308, 0xefcfff1a, 0x62e859bd, 0x7f4a77be,
+    0xa9d6efd6, 0xc4cfd857, 0x5c59d4c6, 0x7e65a6c0, 0xe76528e7, 0xcc465664, 0x23772c64, 0x15313b75,
+    0xad0d0b0c, 0xd278c048, 0x8bae54b4, 0xcfd39128, 0x8d64e023, 0xf139e2dd, 0x9aa90425, 0xfdc14933,
+    0x14c0a876, 0xbb36cd45, 0xe2caeaaf, 0x73180916, 0xd99cc34c, 0x99630dba, 0x872e9fc7, 0xccf344bb,
+    0x3fd96a88, 0x65b12445, 0x70340582, 0x5d72836b, 0xcbb018ea, 0x5723b1b5, 0xfb46a8b0, 0x7da3970c,
+    0x0fa3f9dd, 0xb1a05cbc, 0x0bd9d7dd, 0x437ff0b6, 0xecb646a8, 0x1bf42772, 0xc6d73eee, 0x1d946e37,
+    0xd0ea3f2e, 0x8af9080c, 0x7c224d15, 0x23358ed5, 0x94ad66b9, 0x0fd73c0d, 0xfa38779e, 0x222fa366,
+    0x0a4d0014, 0x36508ad1, 0x3794086b, 0xe3d34bb8, 0x1e767e1a, 0xa1da91e1, 0xf2dac062, 0x227b6b67,
+    0xc063bd06, 0xd059a51d, 0x0bb1049f, 0x46d4c8d1, 0xc74e3c18, 0xa5d1ec6f, 0x920a4d22, 0x792f3405,
+    0xdf9f9420, 0x4ea7b08f, 0x52ccf4e5, 0x5c1ccadc, 0x38bb41c2, 0x9e04b3ac, 0x8f36a22f, 0xede88630,
+    0x45465130, 0xa58b953b, 0xd28b6b42, 0xf8584ff2, 0x860a0c4c, 0x96f149f1, 0x0b5787db, 0xafdd33d6,
+    0x90433430, 0x72185eb3, 0x3d3eea66, 0xe726e781, 0xe2a78be3, 0x15873a44, 0xc5e9dc87, 0x93378cf2,
+    0xde7105e2, 0x2e0e69b2, 0xfc4452c9, 0x9be46dc8, 0xe5a7ead4, 0x3f1138e7, 0x4ca4f5f9, 0xbc35c827,
+    0xe001d245, 0x524f9bda, 0x35c53af7, 0x6c4b2b8d, 0x8214f508, 0xb2c0908f, 0xafc477b3, 0x9448803c,
+    0x84935fc4, 0x40dabbbb, 0x53064ac7, 0x9324ba8a, 0xbecf98cc, 0xf7ada402, 0xa47f14f6, 0x005999af,
+    0x1fd2201f, 0x337e676c, 0x2e3d23e6, 0x9fa8c2ff, 0xfd4ce755, 0x652c5701, 0x3242461e, 0x5df260ca,
+    0xaf357af7, 0x0519c748, 0x559db842, 0x1b113144, 0x3efa4b04, 0xbc375530, 0x5bf89407, 0x830ac305,
+    0x41c079d9, 0x94283d03, 0xd9696f5d, 0xcfc7404c, 0x229b7f65, 0x6b836940, 0xfaf4d94b, 0x8deeed25,
+    0xfcd8d4ae, 0xb866d1dd, 0x15d84361, 0x6802dcd7, 0xda2a9cb8, 0xe187efcf, 0x2679ec92, 0x8a2e19ea,
+    0xe006a8c2, 0x067bcd8a, 0x66ba49e3, 0x1b76ac53, 0xd9f32b87, 0xd49732bf, 0x0b4a50df, 0xba8471d5,
+    0x41b72fee, 0xd073200b, 0xb5db1c50, 0x2fcc3d34, 0x16bc5d02, 0x24e5f5f2, 0xf9d84030, 0xd11cffbd,
+    0x9e1c1259, 0x32c3ad04, 0x7d4484c9, 0x4062016c, 0x735a57a3, 0xe3ce0c8f, 0xcb842941, 0xfe6c24d7,
+    0x4ddcafe1, 0x64bcd317, 0x7c1c6ecc, 0x5c75df36, 0xa4ec453a, 0x699982fd, 0x6d834b23, 0xefc71dc0,
+    0x76d1c235, 0xed99ef89, 0x8b8cef47, 0x2b897a63, 0x21b40757, 0xace6e22c, 0x17f2dfdb, 0x8130a3ef,
+    0xf25ea170, 0x053ad031, 0x2ea6f91c, 0x9281107d, 0x960a8082, 0x5b784889, 0x236b024d, 0x39649808,
+    0x10154951, 0xd5e95691, 0x41cccaf8, 0x3e367ef4, 0xe158a818, 0x70b70825, 0x41ab71ef, 0x6d076752,
+    0x4bcdde3d, 0x658ff30a, 0x2c071ab1, 0x5b7051f9, 0xbe3a0d7f, 0x6553c63c, 0x15511186, 0x20b9eead,
+    0xd148c286, 0x5ac8fc1d, 0xa8fa5905, 0x106a199f, 0xc23f9cfe, 0x640f337e, 0xec8a317b, 0xcb0ae7d5,
+    0xae73416a, 0x26a208fc, 0xf8efa13c, 0x1dd026de, 0x35e6d624, 0x1925abde, 0x13c075a5, 0xdf76d42d,
+    0xb522cfab, 0xbac447fc, 0x12ea8ed9, 0xb95aedc5, 0x8fad05a8, 0x3036d8f9, 0x52931bea, 0x84a04720,
+    0x0e84a4bd, 0xd0af4ed2, 0x5da562a5, 0x9b6425cc, 0xaa5ded0f, 0xf2738c61, 0xcf63aaba, 0x62543894,
+    0xd81206e0, 0x85518b6f, 0x271dde16, 0x619fa558, 0x24230fec, 0x83160aae, 0x80dab259, 0xe1476e96,
+    0x56c80277, 0x50d43401, 0x858f2936, 0x341cd0ce, 0x11c2f645, 0x7fdb3b6a, 0x408d71b4, 0xf18bc769,
+    0xc96d9223, 0xf4853204, 0xf52c6dc3, 0xf0acd416, 0x8f78d3be, 0x58c2debf, 0x9d62b376, 0x7e9e4a3c,
+    0x37ebdb8f, 0x937fccba, 0xb31a82c2, 0x91443aab, 0xa7d9974c, 0x7988701b, 0xba2828f4, 0x235639d4,
+    0xd2237594, 0x59b1ce98, 0x42f8add9, 0xd0ea9d7a, 0x93f64d05, 0xb3a956c6, 0x307a68e8, 0xd524dd62,
+    0xefbefa8f, 0xd8a8aa54, 0xe82277e3, 0x0d9d29ac, 0xf41c2a4c, 0x7d87c0a8, 0x64e35edf, 0xe9a6bcc6,
+    0x225bca3c, 0x9e2a3668, 0x4a09d32a, 0xd6393c24, 0x1295b18a, 0x0bfec498, 0xdf9c3579, 0x85a46c7b,
+    0x7814a5f5, 0xe0be60f1, 0xcad1a56d, 0x91def3dc, 0x7c20abb5, 0x6e3a40af, 0x551cb333, 0x68a34778,
+    0x4b40214b, 0x16c97360, 0xdff87fa0, 0x6773fcab, 0x95244dfb, 0x06eae961, 0x3fefb1c0, 0x7d9588bb,
+    0xc90896ee, 0x72c0a2fa, 0x39c82338, 0x57619d0f, 0xb17ade9e, 0x94cf422d, 0x8a495c40, 0xafa09744,
+    0xd8a17c78, 0xa8058cd5, 0x86e4235f, 0xe7cad4b8, 0x70984cdc, 0xf8c640db, 0xc2e3011b, 0x58291d7c,
+    0xbf5469e1, 0x0f7a5509, 0x021a0f78, 0x85002ea8, 0x4b86ec45, 0x9d2f53de, 0x0238a9ae, 0x30ecaba1,
+    0xbf6076d6, 0xd5969992, 0xb615f669, 0xb7163ea8, 0x8c6b6691, 0xb3dc584b, 0xe5a4f57d, 0xd4c92e1b,
+    0x310327bf, 0xd7d9e8c9, 0xda0cc959, 0x76f7af51, 0x4d0822c0, 0x202b1cec, 0x61406f4a, 0xb96394f3,
+    0x35f77a04, 0xef6c93e1, 0x5304384d, 0xdef8065d, 0x0126bc14, 0xab291367, 0x41062c55, 0xfec205e2,
+    0x72654da0, 0x115c7d17, 0x15e2b218, 0x763775f5, 0xd439fe28, 0xadabb3aa, 0x7675dfc5, 0x62ada2b3,
+    0xbc6bb008, 0x88a89461, 0x314231b4, 0xf654427a, 0xab5694c1, 0x277abafe, 0x3b51bdb4, 0x8869c5bd,
+    0x8b565488, 0x1921f9bf, 0x8cc5656b, 0x22551f2f, 0x040af443, 0xdcd5f8bf, 0xb7f90f6a, 0x0e67fde8,
+    0xadfb5d2d, 0xc3f24647, 0x04d544a5, 0xae0c2283, 0x355bb715, 0x8ebe8116, 0x81e778fb, 0xb7293075,
+    0xacd5073c, 0x521502cd, 0xd6db47d3, 0x7014b903, 0xedcb52a2, 0x25ffa349, 0x7033dcb4, 0x79deb021,
+    0x76fda5ae, 0xb7bcd2d9, 0x87556e4c, 0x155c6fcf, 0x01bf718e, 0xd6ba2e88, 0xd5e4ccab, 0x256df087,
+    0xea10d48f, 0xba4cd567, 0x960935a4, 0x15e9f7f0, 0x4ea98ebf, 0x81a283f8, 0x408ddcdc, 0x5568576f,
+    0xabe3e956, 0x7eea1175, 0xb9a77a5e, 0x909047f5, 0xd3d2d60f, 0xc305aae7, 0x7cd3537c, 0xe0b1064f,
+    0x19a3a764, 0xfcbe75f4, 0x95c3d2bd, 0x5ee877ac, 0xe72b65bb, 0xa0574fa5, 0x7195fa9c, 0x6d8071a0,
+    0x04778c37, 0xf30efc44, 0x001e8b9e, 0xdef5c53f, 0xcafbe3c8, 0xfd056cb8, 0xc7fec066, 0xc0ea215a,
+    0xf2364e1b, 0x9f9ff09b, 0xe2e1dcb1, 0x38b6c6f0, 0x294cc0c0, 0x8e7c507e, 0x27453677, 0x7bd67d86,
+    0xb3201bc6, 0x3c1874a2, 0x2bb7552c, 0x9cfd29a5, 0x3b1f3073, 0xd58d6b39, 0x058f863a, 0xb11d0831,
+    0x24df2dfd, 0xc374b82d, 0xbc2aad1f, 0xa4492954, 0xeba4bd75, 0xfbd81fa8, 0x4b1c8678, 0x97ec2bab,
+    0x480861a6, 0xdbc236ca, 0x2da00431, 0xad4d226b, 0xb0f78cc7, 0x9ad0894d, 0xddbc76ea, 0xd97ac9f9,
+    0xbfc93741, 0xd2090678, 0x77a3bf6d, 0xaf1beec5, 0x49ca8d21, 0x0bd32e4a, 0xf643cea8, 0xf06566ce,
+    0x45642f28, 0x932496ea, 0x748d551f, 0xa6a47fa2, 0x7654c247, 0x47a608c7, 0x6b231fac, 0x6d74e191,
+    0x5fc8e655, 0x53645806, 0x8b5baa63, 0x38cb08e6, 0x44c8b597, 0x7de05f7a, 0xf123af2d, 0xdd62bfe3,
+    0xd51ac585, 0xf72cc883, 0x0d0bfb54, 0x69f904d9, 0x89872a0c, 0xc97a230e, 0x88c13b6d, 0xeb7827bb,
+    0x0288dd45, 0x9e3495da, 0x9d3b1b1a, 0xc7c2837a, 0x493a21bb, 0x4bc8719a, 0x69a6057b, 0x311640a5,
+    0x81673858, 0x9df2e52a, 0xdfa0801c, 0x51c5b0c2, 0x4314773b, 0xff14819a, 0x3e9ed4a2, 0xee7dc614,
+    0x98291fcf, 0xdaba2cc6, 0x1528d64a, 0x97f78677, 0xf3dcdf4d, 0x465d56c9, 0xc4823d5f, 0x19720f87,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000036028797018963968 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a78, 0x4bcd1b89,
+    0x00000000,
+    0xfed0883f, 0x422d9b6a, 0xa82ab123, 0x1b289f6b, 0xe4237d97, 0x3cb31514, 0x169e262a, 0xa0edbd1f,
+    0x59c0a44f, 0xbf05a85e, 0x5c9f8c62, 0xb2e8229a, 0x5afe3f84, 0x0c542d4a, 0x4996824c, 0xf8f1bed2,
+    0x59548399, 0xfae50ffc, 0x8e8cfc3f, 0xbe2f0e6e, 0x01c70e8c, 0x86a172e4, 0xa7faa552, 0x181ad517,
+    0xc8719636, 0x20152b2d, 0xbc20730a, 0xc27898b5, 0x5d827814, 0xf82830f8, 0x0ba1df02, 0x26979e5e,
+    0x9015e50a, 0xbcbb25a4, 0xcd7f36f5, 0xb24e528e, 0x0ee4dba7, 0x010327cf, 0x0fa39769, 0x8d754695,
+    0xb04e0b0c, 0x95aae96c, 0x3a842fce, 0xefd7b97f, 0xeccf3421, 0xef06692f, 0x8750fc6a, 0x0164dbb1,
+    0xc2e1370d, 0xe91d8e8c, 0x733d12f7, 0x0359bfc2, 0xe70777cf, 0xc5b2daad, 0x787facae, 0x672b4f57,
+    0x0b66048c, 0x826847e8, 0x73006373, 0xaef347a3, 0xc3003568, 0xf82f0e8b, 0x4816202e, 0x820a7880,
+    0x24ba7dbc, 0xd328f92b, 0xbd858750, 0x634b7db0, 0x76493926, 0x2c878e75, 0x36902954, 0x016e3aad,
+    0x137b5050, 0xbbaa5d12, 0x0f9d839a, 0x531081dd, 0xb436466f, 0x0dffcb55, 0x0fa35402, 0x3652c193,
+    0xeb20009b, 0xab0c0f05, 0x4cbaa326, 0x0aed61cf, 0x47a6b3c9, 0xfad90f1b, 0xd92eb053, 0xf89e4950,
+    0x7ee2e3e2, 0xd9435127, 0x1265f15a, 0x623455a9, 0x2e429c3c, 0x5de04694, 0x51e95b65, 0x2afc17f0,
+    0x11ab2d34, 0xcbf2d2f3, 0x060e2d72, 0xe77a1f0c, 0xbab59dd3, 0x3aa32e5f, 0xfb012205, 0x4c14a565,
+    0xba1d8f4d, 0xe1352ecc, 0x0ac62bff, 0x59879717, 0x1eb5a5d6, 0x13a9c081, 0x88ead750, 0xef5a978b,
+    0x207d485f, 0x6b013585, 0xca008b29, 0xd2ead479, 0x23951705, 0x8f024738, 0xaafa9147, 0xd4a7e633,
+    0x9bf96742, 0x36215961, 0x7aea7d53, 0x2e48a31e, 0xdca6737f, 0x0c7c58bc, 0x896a71ab, 0x13feaecb,
+    0xadcb23a5, 0x834e330f, 0x73da78f2, 0x5fa7bfae, 0x48983b50, 0xf49747c5, 0x5d363898, 0x3a429911,
+    0x209ebcda, 0xc3b57e5f, 0x0a2c200c, 0xadebb0ed, 0x786e120c, 0xebddc3b9, 0x78e2edcd, 0x7a1f2ebd,
+    0x702c7489, 0x747a09b6, 0x3970d734, 0x7221b296, 0x8cce5d59, 0x1f387e82, 0x89122a75, 0x022d7ab8,
+    0xe05ae430, 0x10fb74c5, 0x24cd9014, 0xff99d75e, 0xefbed853, 0xb447d712, 0x115dcf77, 0xab0c8520,
+    0x8fa017d6, 0xd45f4b04, 0x3959cf8e, 0xae57901b, 0x4db037b9, 0xbc4ddcfa, 0x9c3e26fc, 0x5f742837,
+    0xb4c544ad, 0x70d95a14, 0xc2bd9e89, 0x2e79806e, 0x6830d316, 0x7e2a1669, 0x538822b3, 0xe717ac34,
+    0xb0513d5f, 0x64041d9a, 0xd2cad40f, 0x732b882b, 0xef3c921e, 0x11ef0637, 0x7a198070, 0x4dc24892,
+    0x29c1fef4, 0xac1de643, 0x66c485b7, 0x084251be, 0x3150bfef, 0xd20f3f95, 0x8362b52e, 0x1201654f,
+    0x783c8632, 0x7efb2fae, 0xf9d7d9f7, 0x73798d16, 0xcc381eeb, 0xfe28af8a, 0xc6e51e23, 0x40da40dc,
+    0x368885f4, 0x836a19f9, 0x621a6fad, 0x48462058, 0xf5f24805, 0x2e4d7acc, 0x911037dc, 0x01727947,
+    0x0cc752ea, 0x51b5bf3c, 0x259562ed, 0xe9011777, 0x0106d3ce, 0x994a2e89, 0x93a67592, 0x68188d9b,
+    0x7c8ba890, 0xb7ba1b70, 0x9e90115b, 0x6e7803c7, 0x53fd2a0d, 0xc935a4fa, 0x51070a1d, 0x50a8c4a0,
+    0x814a1e54, 0x2832dd62, 0xe33db072, 0x27f13652, 0xa2237017, 0x5f1bcd9b, 0x46b0e3a2, 0xfd6a3c57,
+    0xb5adb13d, 0xefddaeac, 0xdd357d5c, 0x7556ecfc, 0xd4f66b95, 0x94e7fd96, 0x551a7cdd, 0x86951f27,
+    0x2298f49f, 0x38a99723, 0x5eb2ec68, 0x3cd2a29e, 0x515889b7, 0x785a7dd2, 0x432e0b4e, 0x0df0eed8,
+    0x32daaabf, 0xddff15fc, 0xaa29b8af, 0x7ad0cc72, 0xb836f254, 0x1ecca69c, 0xe0dbdb2b, 0x21636bd8,
+    0x3eeade4d, 0xb2322d8e, 0xd20bd867, 0x072790bc, 0x1d54352b, 0xdb08e08b, 0x42d480f4, 0xc6ffb794,
+    0x68f37af5, 0x90be819c, 0xe3f4802a, 0x71817893, 0x4820a2fe, 0xef7b36fe, 0x46f9b507, 0x27a5e4d6,
+    0x133a37b4, 0x2997598f, 0x66ba3137, 0xec62ea87, 0xd04e5cca, 0xd432503b, 0x6995be75, 0x1e2242d2,
+    0xf894858d, 0x712d9cc3, 0x9a8fa174, 0x0da87523, 0xf46ab137, 0xbba7f65f, 0x8f365c31, 0x5b6ed30f,
+    0x60fb550c, 0x99b71c03, 0x387b7d18, 0xd4126111, 0xa9ad1951, 0xae09d880, 0x6d62cabc, 0xe6d04577,
+    0x307e8273, 0xf8b80776, 0xe2bb9de2, 0xee7ef56b, 0xa87a770f, 0x1ea91315, 0x69a2db5d, 0x89386428,
+    0x2c84e990, 0xd08ac869, 0x08aa51a0, 0x853838c8, 0xe01c4e71, 0x384757f0, 0x60a885b4, 0x79501052,
+    0xc5476a1c, 0x0d88336a, 0xb5cf27d8, 0x9e3cf980, 0xbd172a45, 0xebfeda30, 0x1b0f8c23, 0x38074d6a,
+    0x6810c371, 0x7ba4f206, 0xa7d2ae19, 0xf0b3ead7, 0x8f0efe54, 0x6b09423f, 0x075f4295, 0x73116f42,
+    0xe2a99bcf, 0xbadc3330, 0x878dd358, 0xd05839ce, 0xd2eb8b7f, 0x199ac4a4, 0x2d241d1f, 0x98c56bde,
+    0xc65d0242, 0x675a5dd2, 0xbf9a1773, 0x60b521cb, 0x9a284ffe, 0x766b2a0d, 0x4c8c5c9b, 0x747d8eab,
+    0x0fed7272, 0x1e27f753, 0xdce082f3, 0x1901897a, 0xc0c14b53, 0x6e7bda4c, 0xc10160b5, 0x4607ac8f,
+    0xd0e8729f, 0x65464e9e, 0x9c63ed5c, 0x1643dde4, 0xd7d387c6, 0xb93930bd, 0x0453ff2c, 0x701621be,
+    0x9c402298, 0x56a45b53, 0xff31a457, 0xc403061a, 0x200d3d0b, 0xffdd568e, 0xa40a4eff, 0x9f9e2dae,
+    0x6a41d6ed, 0xffcd802a, 0xaad05f0d, 0x37b86d88, 0x2f998a49, 0x246ea231, 0x3c57736c, 0xf441a769,
+    0xd60787fa, 0x22caceee, 0x2a658b6e, 0xcbb8871c, 0x0ce38239, 0x8e4a85d8, 0x880f3afb, 0x4ee81566,
+    0x5953638e, 0x93d931b1, 0x2899a65f, 0x94529763, 0x55af6517, 0xf2e7c377, 0xa387813a, 0x32c978a6,
+    0xa45c5473, 0xa27734f8, 0xbc16f153, 0xbc5d69a0, 0x6829dc2f, 0xaecc1f50, 0xc95fa82d, 0x96375c79,
+    0x42b70aad, 0xf5a4c740, 0xa09db586, 0x4fbc18d0, 0x408b2f0d, 0x4b9e38c9, 0x729fdd37, 0x80dd250f,
+    0x798eea72, 0x40ad15b1, 0x6b53dcff, 0xe370bc04, 0x1309c3a7, 0xaca16ed8, 0x10dc5894, 0x54269a49,
+    0xcaf2d0b9, 0xa2b46ab1, 0xf6e07a14, 0xdebc3c9b, 0xfec61bfe, 0xd112fdc2, 0xe4eb34e8, 0xc4b98ad3,
+    0x7f2b3217, 0x0a9946e6, 0xa7f9baa8, 0x4d92e503, 0x4f92dfd2, 0xc1e18d9b, 0x5155692d, 0x85b75b08,
+    0xae23b8c3, 0xfd2880bd, 0x033e83f2, 0x7958ded6, 0x3fc950c2, 0x77f86103, 0xcbf9e81a, 0x411350ae,
+    0x862addcf, 0x8b46b544, 0x268aa20d, 0x99294a84, 0xdbc6de1f, 0x08f23de2, 0x8213d4d4, 0xb14c6fa9,
+    0x2a013529, 0x9b975c3a, 0x54b059e5, 0x0114f0ed, 0x4fdfbd4c, 0x233a1cc5, 0x47577382, 0xae7d225d,
+    0xbf272c32, 0xdc47bee8, 0x1d3ccb88, 0xe2cc7209, 0xde21eea7, 0x7cb8d279, 0xa1d7d0d2, 0xa196ebaf,
+    0x0990073b, 0x6925823c, 0x4e3cf7a4, 0xf35f0318, 0xdf0083ad, 0x9b38ca0f, 0x39d6d525, 0xff4e34c4,
+    0x3542ef18, 0x30b8898c, 0x8bfdce59, 0x6df1f99e, 0xaf3a68fd, 0x685d3a19, 0x8d634d0d, 0x4d65f723,
+    0xc63b518e, 0xe90cbffd, 0x1c16a9b2, 0x77887a15, 0x1757f740, 0x334ca1da, 0x90d0d779, 0xa931678c,
+    0xab845652, 0x5949cf75, 0xdd9f5303, 0xa6309a8f, 0xd6e34248, 0x41c10039, 0x3164145b, 0x7ea0e425,
+    0x0286f27e, 0xa0800fd7, 0x3f6165f5, 0xb3254c81, 0x97de853a, 0xefd8d102, 0xc30e8288, 0xd988f2ab,
+    0xbf8ddc7e, 0x2c79a69c, 0x4982a60d, 0x6d2fdd3b, 0xb5b50b1e, 0x6b2b8ca8, 0xda72b0df, 0x74b65385,
+    0x461ee19e, 0xc505c148, 0x359429f5, 0x890509e7, 0x4865ce8d, 0xb474b5be, 0xf0d0e5e7, 0xf9ab3bab,
+    0x1d749d03, 0x6d6e3f83, 0xf96300cd, 0xc09708ab, 0x833805e0, 0x3f5fbf8e, 0xdcb433e1, 0x2e3eedc5,
+    0xe5921382, 0x45e06cea, 0x6077aa81, 0xd80d1cac, 0xdc184002, 0x3cf23e94, 0x6e90452d, 0xe4d94f9a,
+    0xeaacf5cc, 0x5220bf09, 0x263173de, 0x9eb11c62, 0xc2409884, 0x69373200, 0x3d3ca0dc, 0x7392a524,
+    0xf79ec57e, 0x00094f14, 0xd5c1a58c, 0x5433d392, 0x2410d408, 0x54685e3f, 0xf39dbe9a, 0x04375977,
+    0xb6e9b5cb, 0xd06647f8, 0x78231ea3, 0xc9c18f45, 0x9c46020a, 0x38300ee3, 0xd21d0a3c, 0x6e79ed77,
+    0x3da57ac6, 0xe7cb5398, 0x47d1e95b, 0xe05b66ba, 0xc8d1a583, 0x59973c0e, 0xfe232cee, 0xce6ca18a,
+    0x487b48e9, 0x1fc8a8e2, 0x5f5140ef, 0xb5f5644d, 0xb6c239e6, 0xf958add1, 0x93d2de9f, 0xb708f08f,
+    0xc0bba35f, 0x4191b977, 0x88a91699, 0x2d41c451, 0x80d7db92, 0x267e1d3e, 0x7d3cd16d, 0xc948274f,
+    0x6e3ffdae, 0xf351c569, 0xc546892a, 0x00610f5c, 0x143c0af5, 0x4bce2a74, 0xfa74ed88, 0x07944783,
+    0x938877b9, 0x03b1252b, 0x82333dfe, 0x9b2d27e9, 0x67c9face, 0x48ca3163, 0x50dcf210, 0xf8c56fe4,
+    0x71499653, 0xc5348ce6, 0x71c2e2d7, 0x3bfcd4bd, 0x6f365a86, 0xa91ea3f6, 0xdbfd9360, 0x80a22554,
+    0x5fe7b7eb, 0xcf7e4e02, 0x6d18f81a, 0x8fe4b7d2, 0xc003e550, 0xdaedac07, 0x7875b0f6, 0x0d1f1eb0,
+    0xb438feae, 0xa4bbb75e, 0x74784247, 0x699e9237, 0xb6c20ef0, 0xb606fdfe, 0x55024e54, 0x06db8d96,
+    0xa3e1218d, 0xc879f05b, 0x82b2524a, 0x4b134afb, 0x40c5ac12, 0x71f8fcb1, 0x0f822cd4, 0xbe5059b1,
+    0xf04d1125, 0xf0423246, 0xf0536d8e, 0x8cc09c01, 0x809d5966, 0x21b520b1, 0xe0962cc1, 0x10830f00,
+    0xf92a1a79, 0xa31deb4a, 0xbed2aee4, 0x7bb1bf80, 0x71960686, 0xf2da1e05, 0x919ab200, 0x5d026e2d,
+    0x1f09379b, 0x43922287, 0x58a0f2c2, 0x93873c28, 0xb8abce00, 0x4a17b0d9, 0x9edb82dd, 0xb42cb8cc,
+    0xae668670, 0x5218ef32, 0x13908a8f, 0xa7aee935, 0x739ee4ef, 0xb516f2f1, 0x21bf0c0f, 0x2abee1f9,
+    0x4e1f8180, 0xf8a01faa, 0x05eadfcc, 0x72b7dd57, 0x95cd9eb6, 0x3dd74874, 0x4cbbd651, 0x6aef7981,
+    0x25b459ad, 0x79722b53, 0x0fdf2dbd, 0xce83aecf, 0x12ea706b, 0x246d9cf2, 0x5e22310f, 0x136b776c,
+    0x295a18b3, 0xb470ee88, 0x1af74c42, 0xf12bf68d, 0x5b16314c, 0x1ebb5ad2, 0xef72c6b7, 0x741abb29,
+    0xe26724d1, 0x4a12a91c, 0xd621e10c, 0x24b7ceb4, 0xff61d234, 0x5e59c491, 0x7debb162, 0x8002ea0f,
+    0x04d5707d, 0xfc5b8b9c, 0x813c7c3c, 0x6c00092c, 0xc9905efe, 0xea900dec, 0x387a99ff, 0xd550752b,
+    0x2fd214fa, 0xe9e46437, 0x210a7b73, 0xcafdab1d, 0x058005b0, 0x87d2e208, 0xcea514da, 0x13ecd2ee,
+    0x7b35f604, 0x5360775b, 0xf1ecca75, 0xd4f6719c, 0x5619e64a, 0x3b0033cc, 0xfb50f728, 0xe312c232,
+    0x987e89e5, 0x319f78dd, 0x3c0b6ab9, 0x73a0d703, 0x059faa2f, 0x461a325d, 0xb1964483, 0xb0d96060,
+    0xaa91bc72, 0x88a29e71, 0xc3c74575, 0x6e066b9f, 0xfca1d2b9, 0xe82bdb39, 0xd35f0e65, 0x38e638c0,
+    0x35bd496e, 0xfc9a0573, 0x603d1853, 0x9e1f8d40, 0x8a3e4eac, 0xc94c202e, 0x752e3b4d, 0xcdf2ae16,
+    0xb59c4f9d, 0x668dc26a, 0x8236c7c4, 0x8ac73e2c, 0x3c116155, 0xb23c0e4a, 0x16c74bd4, 0x71434a16,
+    0xdd261605, 0x04c16f12, 0xbcb68bdb, 0xe28bc460, 0x10892cb2, 0x9ab17d2d, 0x25a5258b, 0x9b29eae7,
+    0x2b302862, 0x238268d7, 0x1936b4fe, 0x4a4a85de, 0x2027378e, 0xf5da03c4, 0xa0a0327d, 0xcc63955a,
+    0xd8ebfcd5, 0x74e8491c, 0xc723e31d, 0xeb1268f5, 0x65724f81, 0x92f56f6c, 0xa0de57ab, 0xb6d7e41e,
+    0x86969603, 0x67d5a784, 0x1a74b730, 0x3ddf1376, 0x75ecccd1, 0xf07f667e, 0xa603107b, 0x52e9fe17,
+    0xaccab64b, 0xa7415393, 0x667c2936, 0xc7cf2036, 0x3cb17198, 0x6c57e60a, 0x55e5cb1a, 0xf973343d,
+    0x08402b62, 0x71d1158c, 0x815def9b, 0xef90cf05, 0xd49ceab5, 0xfe2e2dad, 0xee32f821, 0x652a683e,
+    0x021531f6, 0x287cc6e6, 0x45c2e202, 0x8e7f007c, 0xb32f00e9, 0x31a39d9b, 0x1ce7d856, 0xf768aa2a,
+    0x562c94b4, 0x01b19113, 0xb1ee2b29, 0x638abaa9, 0x2c14abe5, 0xb5b3357e, 0x0101cca5, 0x846f87dd,
+    0x1bad5ef9, 0x082c1c16, 0x52c467f8, 0x5fd046e3, 0xcc52de59, 0x7d7573e0, 0x34a0d28c, 0x822a4b5a,
+    0x88b7bfd0, 0x356f4d04, 0x1f618262, 0x060099e1, 0x25b78352, 0xadb3256f, 0xf8c5b939, 0x8d5ff036,
+    0xa8c18e82, 0x704d73a9, 0x7fc23bde, 0x75fd3665, 0x5ee7d553, 0x6340df31, 0x2eb59cc0, 0x8d614339,
+    0x27c5492e, 0xdf0dd3d4, 0x636ac980, 0xfdef2dac, 0x7ce1e1eb, 0xc966e6e5, 0x979f5564, 0xbccbd6ac,
+    0xfca714f7, 0xf303e4eb, 0xd564f66b, 0x3e2bb5b8, 0x8cc7d7ed, 0x02dc557e, 0x2f42000b, 0x7abf79c3,
+    0x2b43b3f7, 0xa553377b, 0xc0f2517a, 0xc5f5fc7d, 0xa59f970d, 0x960e193d, 0x36a5ccbb, 0xf4021e4f,
+    0x3ff4a07b, 0x88b4ddeb, 0x55728fe4, 0x91ec571a, 0xcd57f285, 0xc9213d58, 0xf8673989, 0xa9a762c2,
+    0x3bdce848, 0x426c3836, 0xb99d1b1c, 0x62da452f, 0x63df30dd, 0x878b2161, 0x70ec5a0b, 0x7417706d,
+    0x81e83503, 0x040fb585, 0xb2bed831, 0xb0754fe7, 0x773bb0b6, 0x3439e378, 0xdc60dad5, 0xc0423d09,
+    0x5de92725, 0xe01bfbf3, 0xac2f5d32, 0xd63e78c4, 0xd1dd5894, 0x3dbbc2df, 0x30ab2bc4, 0x1d87a11c,
+    0x4e423d77, 0xdd493b59, 0xf6ac8e8b, 0x7409d60a, 0x49096569, 0x91b96a09, 0xae46d9e4, 0x9df20f40,
+    0xd9bafce8, 0xe787d471, 0xb4b1dc57, 0xdc684ca5, 0x8d7fee3c, 0x4bbade32, 0xe0d5067b, 0xbb49a786,
+    0xd441cf38, 0xe4079e01, 0xac1185a8, 0xeffa6641, 0xc2166d5e, 0xd74182b4, 0x756c2798, 0x29c18148,
+    0x059e9460, 0x77a990bc, 0x3aa92739, 0x37c415ca, 0x108d07b0, 0x3fa0d1ba, 0x38f02d96, 0xfe303078,
+    0xec2dd4df, 0xb0a9ade1, 0x2b952076, 0xfdc8bc0c, 0x8765d717, 0xc492502e, 0x98a56c08, 0xe8af1dc0,
+    0xf413416c, 0xf6ac4f0c, 0x0827865b, 0x880c4986, 0x5f6ae33d, 0x7f656bbb, 0xb6319b20, 0x8cc6927f,
+    0xd12458c6, 0x6250c93f, 0x4c6a3814, 0xd7bfb99a, 0xcc5b043b, 0xbab9fe38, 0xa6e79ec5, 0x736df564,
+    0x70c016d1, 0x6a444c96, 0xa314d793, 0x1b4b4ca9, 0x8f0cb31a, 0x38739688, 0x5f204a73, 0x5c81f4f1,
+    0xa1898600, 0x867b207a, 0x1f2a13c1, 0x158a6a6d, 0xdf65130e, 0xdd05507a, 0x23ad792e, 0xf7549987,
+    0x43fe2263, 0xa4fcb3b8, 0x1f015915, 0xed20f1e0, 0x179e3969, 0x0aaff7b7, 0xe4d134b2, 0xa5ef65f2,
+    0x6704e5ad, 0x45f9fab7, 0x5bf13187, 0x3354e492, 0x10f53544, 0xd414e89b, 0x21f00ccc, 0x379744a3,
+    0xc4fae262, 0x2582ddbb, 0xbcc3a3f1, 0xeb93aff6, 0xfd7eb02f, 0x3970f2ad, 0x6c9c9d37, 0xf10b2e4d,
+    0xd8b6ec55, 0x3e743aec, 0x318cac07, 0x256e3a08, 0x81b03d38, 0xc752def4, 0x2fc7c282, 0xcba4a125,
+    0xe74f62eb, 0x993f7ff3, 0x8cdb0c30, 0x0eb2a595, 0x4ed8192a, 0x7b3e1784, 0xb1a859c7, 0xdb843a39,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000018014398509481984 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3c, 0x25e68dc4,
+    0x00000000,
+    0xb4998890, 0x6ea58643, 0x1084b7d6, 0xeb5dfe45, 0x0ae72430, 0xf3912f8e, 0xe4c6e623, 0xc7cf5d5f,
+    0x673b2896, 0x35f854ca, 0x12b84892, 0xdd40dca7, 0x5fba1ebb, 0xa0206be9, 0xf4a7b5d5, 0x05b95dd8,
+    0x55e0ea92, 0x488979ce, 0x269c39a7, 0xfe15eb59, 0xb1af9cd1, 0x4c22e862, 0x56745619, 0x8884946d,
+    0x4199e605, 0x6f4000f4, 0x32ba445a, 0x02eef6b6, 0x0baeaff6, 0xe49750c6, 0x602d84a3, 0x830cde8f,
+    0xdee5efb7, 0x4864a1c3, 0x1ce4c4a3, 0xcba8ef97, 0x0c6969bf, 0x59038a02, 0x6f7ee5a5, 0xef52ef68,
+    0x65de65f9, 0x38c77c01, 0x9855251b, 0x2eff9211, 0x02c80ecd, 0xa6571dbe, 0x134a1eb3, 0xd31671f4,
+    0x8fd343a4, 0x2da99c97, 0x1477d5ef, 0x1cb79e79, 0x34acb4c8, 0xd8ff6b1c, 0x5b8301b3, 0x8c80e1f5,
+    0xd770c969, 0x27a5e6f6, 0x1c3c86ba, 0x9bb34fba, 0xad9a3c39, 0x28485302, 0xafc93388, 0xe9477a70,
+    0x78665e2b, 0x521a5047, 0xf208ac5a, 0x412dd9f3, 0xd26000e2, 0x9f7c9ecc, 0xffde6ffb, 0xd01ade67,
+    0x1908c66e, 0x1bc9adcb, 0x2ba51be0, 0xdd7288d8, 0x97fb5645, 0xc976c727, 0x32282b91, 0x1f8e759b,
+    0x088c18bd, 0x64cae060, 0x2021d63b, 0x92663154, 0x352f9e8c, 0x7492c0fc, 0x5bb1540e, 0x8ee6c56a,
+    0x14df38e5, 0xf7be6e19, 0x7373d2ab, 0x8e9421a8, 0xbac04a2f, 0xa513a6c7, 0xec02a3c9, 0x51d66cea,
+    0x99b44b7b, 0xb3d776a8, 0x584af746, 0x543f40e3, 0xbc5dd600, 0x57fdac25, 0x663046ed, 0x9ab3d6ac,
+    0x53271ff2, 0x4d6eb60b, 0x2d26854d, 0xfda5a753, 0x547bd1ba, 0xd46fa205, 0x6a694dfb, 0x529e04e0,
+    0xcd044615, 0x3f534a5c, 0x34fc502e, 0xb5880c8a, 0x7933a061, 0xfd712b4b, 0x8178202b, 0x0d6550f8,
+    0x0ebada2a, 0xa72aca44, 0xaec86ec7, 0x810b80af, 0x78c3e250, 0x702bd075, 0xaa131f10, 0xe5dc1581,
+    0x1938d279, 0x607a2177, 0x91147211, 0x572b57b6, 0xc62bef81, 0x0173d88c, 0x3ad9e86b, 0x5db673d9,
+    0xd35d95e4, 0x15c06ca4, 0x8c9db606, 0x03898b4b, 0xb68b224c, 0xc1a703a0, 0x0ef1e899, 0x3863b2bf,
+    0x67f72709, 0xd0f4e81c, 0x88133128, 0x36f551ef, 0x6ed73827, 0x92ec636e, 0x3e69f44c, 0x9e567b13,
+    0x1ffb664b, 0xb710f66b, 0x8fe7681e, 0x26a7e6ca, 0x6b4b87df, 0x2461e6fa, 0xa45273c9, 0x9b05a139,
+    0x9778f90f, 0xdda81134, 0x4c098e13, 0x924b7313, 0x1eaba6af, 0xd561bbe2, 0x1ab721cb, 0x9e15f543,
+    0x81e07fc9, 0x5c2532ee, 0xdaddaecd, 0x840f8788, 0xcbe0faf5, 0xfd43cda4, 0xfae14b71, 0x5420c406,
+    0xcc609895, 0xf0f84a52, 0x8da21e3c, 0x1f404230, 0x3f43e1c3, 0x74943c7b, 0x08a0558d, 0x32f3c302,
+    0x1fcfab5d, 0x48ecc988, 0x880b868a, 0xd1ec754e, 0xcfac1cc5, 0x880ef08d, 0x1adbd924, 0xe0ff53b3,
+    0x4125e768, 0x85455dc9, 0x84040af1, 0xa032dcbf, 0x11826f37, 0x90d147c6, 0x95a75564, 0x6f79208a,
+    0x6729d5b8, 0xa27bd3da, 0xdfa6e846, 0x935bfeb4, 0xdea1d10d, 0x53f72145, 0x012ab9d9, 0x50f5ff83,
+    0x05f34ee5, 0x08590dde, 0xaea3787a, 0x6172bd10, 0x596e856f, 0x40024e7a, 0x63ab8bbe, 0x0dd06c75,
+    0x5bf5413b, 0x57249ded, 0xa276f278, 0x229a11bd, 0x950b1f1a, 0x405e185d, 0xb1cc7736, 0x0b64b8ee,
+    0x0c23c7c3, 0xadc99465, 0x84742546, 0xd4bc436c, 0xa17f3b07, 0x1c4e93f7, 0x96d43ab3, 0x3d8bacc6,
+    0x11b1c839, 0x8996e34a, 0x37a4fce8, 0x04c32d12, 0xfee55dbe, 0xace7d8c7, 0x8d1c3988, 0x235fd685,
+    0xb1a3393b, 0x4d5cb571, 0x5b63ded6, 0xb34a737e, 0xfb55afb1, 0x93af9b05, 0x01f338fc, 0xb0ae5ff4,
+    0x45679ea4, 0xadc8ff3f, 0x4d6c94e2, 0x7393d6da, 0x7c4bc581, 0x0741a67e, 0x4f582062, 0x1e2070b8,
+    0x9fb7c4ba, 0xc13f9aac, 0x37173c37, 0x0e7c1e28, 0xdeb929a6, 0xd79aa204, 0x398aac1b, 0x4ffbe228,
+    0x5e1ba662, 0x28e61887, 0x59fa9c03, 0xde6b0eb7, 0x7958d030, 0xa15db2b2, 0xdc4bf57d, 0xd5693a98,
+    0x2ee81529, 0x2c7dddd8, 0x425c3c05, 0xa0817473, 0x1de4e1b2, 0xd1214f11, 0x0bd9e903, 0x30acec18,
+    0xa86df3b8, 0xa1615858, 0xad7f756b, 0xca31179c, 0xab2b2b6c, 0xe00ea7df, 0x1ff3e48f, 0x4f93edec,
+    0x01185770, 0xb2ffcf08, 0x8973243b, 0xfc0523d6, 0xfd020649, 0xde8efee1, 0xc674b728, 0xa760807b,
+    0x4f0d1408, 0xa857957f, 0x720a8583, 0xaccec3f6, 0x09a9ad4c, 0xbc1866c5, 0xae574606, 0x899bb410,
+    0xfa87227d, 0xceac3972, 0x785c6a25, 0x4ad989c3, 0xd78488b3, 0xec0cce13, 0x03e47e0a, 0xdad838d8,
+    0x6987dabf, 0x2cbfefad, 0x8e7469f8, 0xddd5bd0e, 0xbf3c3dc0, 0x129f6790, 0xea77f35b, 0x1bc355ee,
+    0x79442951, 0x8f6ba51f, 0x8c1b329f, 0x73285a46, 0xf3e3d464, 0x7258ef29, 0x677e2660, 0xcedd2fe8,
+    0x262513b6, 0xd2348069, 0xd1dc04d9, 0x4542e063, 0x4acf4685, 0x24b338ee, 0x6f03bfd5, 0xef2e4f79,
+    0xe87bcb85, 0x5398a071, 0xc78c18c4, 0x0f936a13, 0x77ca75ef, 0xf469ed94, 0xffdca46d, 0xb9ac4f76,
+    0xac3e0e1a, 0xbf299e53, 0xc90e4851, 0x2dde33ec, 0xd6a838a6, 0xf95925e3, 0xfb9cb37e, 0x0694f039,
+    0xba94dd0e, 0xe24cf8ce, 0x2a7e67e5, 0x9232ba8e, 0x65ac943a, 0x1be1bd66, 0xc4627a22, 0xd7bdf31f,
+    0x4f6e79e4, 0x74930015, 0x5c9c2355, 0x1cb3aee0, 0xdd44f2cb, 0x682f498e, 0xd6655430, 0xd8419383,
+    0x29f6eb6a, 0x72e31108, 0x36d1bcc3, 0xc09a5be5, 0x65c0f4df, 0xacd1cffc, 0x836805c5, 0xca12981f,
+    0x84f12e40, 0xa424d27f, 0x7c608417, 0xc07f3028, 0x87b1dc5b, 0xaf54b30f, 0x03bd7418, 0x94ddd43c,
+    0x2fc50996, 0x2e950007, 0x35e5250f, 0xa05f4707, 0x17e3ea9a, 0xd281376a, 0x1801c6ea, 0xa6a8c23c,
+    0x1597a410, 0x34cdda5a, 0x2a9cf7d6, 0x75826221, 0x1a574f98, 0xe20a6ad1, 0xa89ff21f, 0x2ea9a179,
+    0xddbdb897, 0x6ac98549, 0x8edb4c02, 0xe938272d, 0x4c6e8c84, 0x7c55cfda, 0x8daa6eb1, 0xf8f2d609,
+    0x20cccb5b, 0x42073cef, 0x1b0d6774, 0x77605e91, 0x2f8e0975, 0x0c6489f2, 0x218826b1, 0xe553f64f,
+    0x62e60b0e, 0x8e41bbc2, 0xe5fa6356, 0x71a775f3, 0x19a3a61b, 0x9dd4cedc, 0x933b9f00, 0xd7059d57,
+    0x276e5100, 0x4c731ce7, 0x184e5756, 0x260e3d36, 0x677568d8, 0xc11538e1, 0x79bf7777, 0xa51bf245,
+    0xdd04094f, 0x3e01758f, 0xaa766f66, 0x9ef60a49, 0xe4f1d908, 0xbaa3778b, 0x27561f94, 0x4b8991f8,
+    0x0398d96e, 0x2af133b3, 0xf969c4db, 0xbf0adc97, 0xcbf0111c, 0x4917f8e7, 0xe040f15f, 0xd04c0a4b,
+    0x6e824c1f, 0xf8b898ad, 0x0fdc03b3, 0xa06eb0e0, 0xb4c8a763, 0xe214c769, 0x5b5fe43f, 0x4e6af182,
+    0x6a63880f, 0x681ba33b, 0x320af146, 0x40e55c00, 0xb78dbe65, 0x64eea115, 0x7851a96c, 0x1d0cbdc9,
+    0x212373dd, 0xe0780214, 0xe7c1a560, 0xa4b42f1e, 0x41f6bc2c, 0x09c8e728, 0x0c35441e, 0x3704edd7,
+    0xb5c86933, 0xe5b2d6ab, 0x3e6fe896, 0x49674a67, 0x8a00783f, 0xbd0f1843, 0x865a6cdd, 0xdec5f052,
+    0xdcae5227, 0xaee497fa, 0xa188caee, 0xa2d086f2, 0xa6e01fec, 0x4c12faac, 0x0bb633de, 0x5460a362,
+    0xe71b9273, 0x49bd6bb0, 0x2a5b071f, 0xaebc31f4, 0x1df44e43, 0x21e224c0, 0xf7fa48d1, 0x9e3150a7,
+    0x194d33b0, 0x90d6ebb5, 0x6706f458, 0x6fb7a9c9, 0xcfb36366, 0xc61270ac, 0xd2f89cd5, 0xf6badb58,
+    0x32d4339e, 0x6274784f, 0x4813f3c1, 0xcc8a518d, 0x3c74593c, 0x9505cba9, 0x313297c5, 0x317ffb6f,
+    0xc6a29054, 0x8b936709, 0x8555626c, 0x8b37e216, 0x251b0a97, 0x565efb7b, 0x0dfacee0, 0xa668f7a0,
+    0x1f4bde84, 0xb7aa4b86, 0x4a00f8c2, 0x008d6a89, 0x1cb81e37, 0x522da5e1, 0x0054df2e, 0xc8c2b8bc,
+    0xb8ee412e, 0x41a6652a, 0xcaf0bf01, 0x63fcaa66, 0xe9529bba, 0xede35c5c, 0xbeba51c8, 0xe575e0f4,
+    0x50825d7b, 0xb6d91a7a, 0x18571e24, 0x13f6cdb5, 0xaefae4bb, 0x1de2864a, 0x86eeb847, 0x4e0fc687,
+    0xb2134b9a, 0xea24c7ef, 0xe02d7842, 0x29ce7a94, 0x2a6c0dbb, 0x647485eb, 0x4d4b6cc1, 0x49cb2ecd,
+    0x07e6fbbc, 0x905525d3, 0xb120e489, 0x201037c6, 0x2b516ded, 0x1558a7ca, 0xe3e33ad4, 0xfd6c0627,
+    0x35d06d63, 0x79c978e7, 0x4a74ba6e, 0x50101583, 0x38686b0c, 0xfe8bfde6, 0x4d6785fc, 0x1c97210a,
+    0xc49d2a3a, 0x55dc2c4e, 0x6df93f9e, 0x3bfea5fc, 0xaf99ffec, 0x74bcf88d, 0x63517b2a, 0x38b51fe7,
+    0x4ba2f978, 0x79fc699b, 0xf69ec364, 0x5382bd8a, 0x0b40ee03, 0xed6c2068, 0x0612cb9b, 0x0ba3cc8e,
+    0xaab8557d, 0x73474338, 0x54add2d6, 0x7152a7d6, 0xc53dd564, 0x5a0febc9, 0x8c5bffd0, 0xc1e91230,
+    0x1c9901f4, 0x6b32429b, 0x41192ac3, 0xe90fa496, 0x5476352a, 0x9b8f888e, 0x1dd1581b, 0xc4566dc7,
+    0xf10aedc6, 0x166e8a9b, 0xa599ecf1, 0xa9abf226, 0xe6696874, 0x3adda895, 0xe3fd3b86, 0x405afc41,
+    0x053b069b, 0x11f56252, 0x48cb599e, 0x061e1b97, 0x5138f4ef, 0x5214a9c1, 0xdc68507e, 0x7e28d490,
+    0x34a237df, 0x7b37bf5c, 0x11eddf57, 0xbf405fdf, 0x079aed3c, 0x493bb20e, 0x2d7773ff, 0x07c92a79,
+    0x2fcc8f1a, 0x4d3f67ff, 0xe42a5c61, 0x79d75807, 0xdce16a90, 0x3b4cbde8, 0x7044e4c2, 0xb66de26c,
+    0x7877a332, 0x19cf587c, 0x86f6c53f, 0x6ec6cd14, 0x0fb648b7, 0xe173fdbf, 0x09a8b5ca, 0x86d39482,
+    0x6536aa34, 0x363ab334, 0xcb085a7a, 0x1fdd34ed, 0xb6aac2dd, 0x2bf184e6, 0xf7e87453, 0x264beae7,
+    0x0ec723a4, 0xdc923084, 0x848d5cc1, 0x8eee3e7a, 0x974b05ef, 0x5ffcf468, 0x77d5b9c4, 0xcad7bcbf,
+    0x795b2320, 0x93a34781, 0x5ce8116b, 0xbbe3f1fd, 0x2826dc41, 0xef6aa813, 0x0a663f81, 0x41696038,
+    0x8452db0f, 0x2899699c, 0x91904bec, 0x8ea6aa15, 0xff5ad19f, 0x589a0a9c, 0x2c5a9209, 0xf1374b79,
+    0xed9fbb84, 0x0ae8c1a7, 0x237d3411, 0x5e511a30, 0x97f3bf47, 0x2dc6f9fc, 0x8c09f805, 0x0150e8d0,
+    0x709fb870, 0xf78488da, 0x0b5905ef, 0x6a7f4a06, 0x109ef738, 0x12531c6e, 0x060161e2, 0xb8181597,
+    0x0e59d54d, 0xe9fd5ab6, 0xff9881e1, 0x565d1140, 0x448505c2, 0xe036ae08, 0x58798a0b, 0x0d6860fa,
+    0xf0277c7e, 0xf19183de, 0xaf156f72, 0x4f9b0024, 0x4e90659e, 0x479ce798, 0x0a0030fe, 0xebafea4b,
+    0x3c65aa8c, 0x3228a5ca, 0xeafea303, 0x58f9cadb, 0x49884c9a, 0x091750da, 0x2b028972, 0x6be99c60,
+    0x43fb60ed, 0xa37cb8b8, 0x136dfca8, 0x5871ede9, 0xcea0eb5c, 0xfdc91718, 0xe0448f69, 0x717fdf34,
+    0xcc2a941f, 0x189c49ed, 0x9842e14a, 0xcd79c2c9, 0xeee36d63, 0x7d00352f, 0x572445f1, 0x0b38a195,
+    0xa5391ea2, 0x98ebf1f3, 0xc92dfc43, 0xd9ed63b0, 0xfe195288, 0x63d81fed, 0x9c5d6134, 0x98413554,
+    0x3bb4677c, 0xdab9ff7b, 0xc0928b0d, 0xf63f1dc1, 0x4762c15a, 0x0b53ba3f, 0x59d9ceea, 0x66aa4f92,
+    0xfc760d72, 0x67ea8497, 0x66be3755, 0x8c35c275, 0x7f4df216, 0xe1a164ec, 0xc4f6bcab, 0x88da339a,
+    0x4919f2e8, 0xaa0aa22d, 0xd485c0de, 0x8df3ac3c, 0xfd87406f, 0x64aab2b0, 0x4af378f0, 0x7d66a879,
+    0xf31b8e7f, 0xb08a3e13, 0x7c8d7e09, 0x5f199fcb, 0xe18eaf7b, 0x892d1a61, 0x22074a85, 0xbffa5837,
+    0x39bab994, 0x906588a1, 0xba430c58, 0x6e6ef1e5, 0x8a4a21fa, 0x0a17d191, 0xd6122fd8, 0x7549e354,
+    0x2bfc6337, 0x11d4bee5, 0x22d12c75, 0xc8ed6328, 0xcc7b2fab, 0x54f5a7a5, 0x5e823b8d, 0x1458cebb,
+    0x01cf6c3c, 0xc6988dfa, 0x9dd946cd, 0x7849c40c, 0xbbb32fd8, 0x111d3354, 0x7bf23585, 0x23ff850f,
+    0x6f979c1c, 0xa14a99a6, 0xfeda3691, 0xe15ea16b, 0xb194efdd, 0x5980e2fb, 0x847b938f, 0xe56bdcf9,
+    0x8a127f65, 0xeb37fa60, 0x430e94d4, 0x50606a7f, 0xc9585935, 0xc1e70503, 0x92d664ee, 0x7cef72e4,
+    0xeda5e059, 0x2465dbf8, 0x128d71b8, 0xfdbd018c, 0xf3daa03e, 0x4b1a5a24, 0x06eb30ed, 0xe448f309,
+    0x53041e39, 0x2b9d329c, 0x27a63c65, 0x137087bc, 0x2316d30f, 0x5651d246, 0x86c9365f, 0x6e4fde88,
+    0x5e9b6a16, 0x6c65f495, 0x443fc5e1, 0xc44e6288, 0x895a5ef5, 0x9dd8ca39, 0x9ca47cfa, 0xacc37f41,
+    0xe0df7d05, 0xcf421de1, 0xf9f370ca, 0x489f78e8, 0x701d4622, 0x2493a57e, 0x43a816e7, 0x4798ebc8,
+    0x6324ad26, 0xc6a01a13, 0x982b8bd2, 0x97a15f1a, 0x249b9d43, 0x2c3cdf2c, 0xc112988c, 0x4b640fa5,
+    0x81fccb6f, 0x33cd83d3, 0x93b812d5, 0x6a004f6b, 0x0aaadeab, 0xfeeefac3, 0xde8c4bda, 0xa4f6fe85,
+    0xa15833e5, 0x1d22b538, 0x7dce0066, 0x1a378b18, 0x63e8accd, 0x0ef5301c, 0xf1c62f82, 0xd747401d,
+    0x1b956965, 0x8e3b4356, 0x67d6a812, 0xb120a529, 0x13b43358, 0xedbdd55d, 0xf1892167, 0x87f97555,
+    0x66339ccd, 0x370326b4, 0xf46ead42, 0xdf5994a5, 0xce02db4e, 0x15dd4716, 0x0deb7072, 0x5881e796,
+    0x2ae1e30f, 0xe5d8bac5, 0x2c8a8574, 0xc877238b, 0xc891c324, 0xe8beef6e, 0x7035208a, 0xddee672d,
+    0xcbc327f4, 0x9012f6bd, 0xfc7869cb, 0x9405c999, 0x0a6aaac0, 0x4c4e7e3c, 0x9b197dd2, 0xc809708c,
+    0x1d00d28e, 0xb83a9e9f, 0xd326e90e, 0x10c0129b, 0xa8bee89b, 0x882eb23e, 0xf4b470d6, 0x20716c71,
+    0x1d216a29, 0xabcc03ad, 0x3ef1fcbb, 0x2efcd689, 0x62709bf3, 0x2b5c9ca4, 0xc1270d89, 0x37041a10,
+    0xe0acf6cf, 0xdf9924c0, 0x1ab2db7b, 0x21cd7bda, 0xa06934c3, 0xcd8fcef4, 0xfcc7955b, 0x0b5c3716,
+    0xbfb08a5b, 0xbc5032b8, 0x7a6d0582, 0xb51fac00, 0xe9812820, 0x65242daa, 0x99e10f62, 0x25850b0a,
+    0x1939a8fb, 0x6c17d3df, 0x6de17f70, 0xaabc1fb4, 0xe130f66e, 0x98374be8, 0x9c5f3077, 0xabae0e8b,
+    0xb8dd23f3, 0x87c8b49c, 0x1984f64a, 0xaec42ad8, 0x484131e1, 0xef3b2323, 0xd3e6de3f, 0x12755635,
+    0xee9dc01a, 0xfc36e896, 0xd45a9932, 0xcd61a5d5, 0x14737b92, 0x7610c49c, 0x72050324, 0x5c404918,
+    0xf781ef7f, 0xd47e2460, 0xf5b97ab5, 0x25eae287, 0x14442642, 0x78cdc741, 0xd2a6f386, 0x96bd6dba,
+    0x445afe30, 0xba729b11, 0xa0566cb2, 0xfb297a1d, 0x98abf735, 0x782e29c7, 0x6fc8bf71, 0x3e80ee4e,
+    0x2eb42f2e, 0x427603fd, 0xf941903a, 0xe637e1e1, 0xd5c2c514, 0xee1a42d1, 0x98ac9ed7, 0x84d9d642,
+    0x3d20b7dd, 0x07ede54c, 0xb1a93c9d, 0x5e5fc2eb, 0x9287867f, 0x927c2776, 0xc85e85ba, 0xe0c960c3,
+    0xfc3d9de1, 0x853f596f, 0x723e23a5, 0x87e16a73, 0xb6ede177, 0xfbb67229, 0xf4c9ec0b, 0xb9d519c1,
+    0x8c6bb21e, 0xdd9fb4fe, 0x70a0cc70, 0xd250d6b8, 0x0bcf8009, 0x81afeb50, 0xf7c2981c, 0xba8194e8,
+    0x67f53515, 0xafb9f1fb, 0xd126457d, 0xc789b339, 0x898312ef, 0x48596f25, 0xaf059cdd, 0x448bbf03,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000009007199254740992 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269e, 0x12f346e1,
+    0x00000000,
+    0xd7051484, 0x8a0442a0, 0x40eba9de, 0x6a6e0230, 0xed78757d, 0xf2aa250f, 0x4e6a457f, 0xee44fb49,
+    0xc4ce7ce0, 0xddd0fa83, 0xbf39e961, 0x5da5ed15, 0xa789732d, 0x77fb2dbb, 0x0d78a873, 0x6d8ae40b,
+    0x367b5509, 0x258b3f5a, 0x77859f89, 0xbce91225, 0xbacc9f8b, 0x3d5d4521, 0x8dedf5cf, 0x427269ed,
+    0x6680e4cb, 0xad6989b0, 0x2b2c4706, 0x1e8ce1d3, 0xd93f3bb3, 0x5d672e24, 0x306b842d, 0xb6f5567a,
+    0x8a115872, 0xbd67f655, 0xff5168e3, 0xa0023e96, 0xb7c63df6, 0x485adc54, 0xad5257fd, 0xcd2add31,
+    0xe2af21b8, 0x02daae43, 0x1490e99a, 0xa18281ef, 0xcb8400ac, 0xa7bc286f, 0xa93abad4, 0xeb505964,
+    0x6c60552a, 0x668423f3, 0x0704441a, 0x4785a71c, 0x5e31fbfe, 0x2cc5a767, 0x668310eb, 0x901ad718,
+    0x435c1ad4, 0x2cfb863b, 0x4d55b40d, 0xd0307442, 0x5ff305a4, 0xefcb230e, 0xdc6ed2d0, 0x74f3a209,
+    0x230e00a6, 0x8b0acc3d, 0x190bd087, 0x29f05033, 0x3382c295, 0xe394c193, 0xbe4f20d1, 0xf708f78a,
+    0xaff3e043, 0x0d0024a2, 0xe81111c6, 0x145558db, 0xcc92d672, 0x72d468c2, 0x734791fc, 0x3b40973f,
+    0x02a8f52a, 0x09ac75f0, 0xf3f8b58e, 0x8c19112e, 0x4d18cd26, 0xde9a9a74, 0x66e459ec, 0xf3e14a16,
+    0xda7565c1, 0x10586644, 0x441553bc, 0x49713b58, 0x57ca8159, 0x852981cc, 0x117bc7bc, 0x65d79bfe,
+    0x31a7b3bd, 0x0fe92255, 0x06258c2f, 0xb6ad7872, 0xf0e50406, 0x6a45b519, 0xa13a6f8c, 0x04ff3eb3,
+    0x2108397b, 0x089bb170, 0x4d27f836, 0xb5f7ae9c, 0x37212611, 0xc011d6b4, 0xc68b4ba9, 0x65ad0139,
+    0x3b725e5a, 0xf3bc5cfe, 0xff554814, 0xe2179057, 0xe16e48e6, 0xc44df5a3, 0x126d648b, 0x5ef36f70,
+    0x2dde7f04, 0x7ac229c7, 0x8f7d8528, 0x3526a6b4, 0x41f1d70b, 0x5c4a5ed3, 0x4163139e, 0xeac411b2,
+    0x61ad324b, 0x7c568969, 0xe79e4ed7, 0x7ffe92d0, 0x76a16e7f, 0x8be60a26, 0x62615567, 0xa41a091a,
+    0x011cb0b7, 0xc135a236, 0xe6392a80, 0x69ffb494, 0x63caed55, 0xf0003f8f, 0x6a8ecc6b, 0x73f0fed7,
+    0xe57bc417, 0xb9dd8364, 0x69b34b44, 0x867d84d8, 0xa5d50bc0, 0xeb48e706, 0x8259568b, 0x9495584f,
+    0xc5546b60, 0x106b8b6b, 0x9fa3bbc3, 0xcf3746b7, 0xc56b5da6, 0xb12f6eb8, 0x04b4e551, 0xfdb76cb9,
+    0x0b9fd5f0, 0xeb8554de, 0x07521c1b, 0x85e83023, 0x8a524226, 0xbfebe9ae, 0x9fbb918a, 0x6e2a92ba,
+    0xf05950a6, 0x42c63fce, 0x938657b6, 0x93288a5e, 0xd38524e4, 0x167aeac5, 0xe6c40922, 0x7dc9132e,
+    0x47f4cc3b, 0xecbb6145, 0xfb661d46, 0xc52444a0, 0xf69a7d24, 0x687d9def, 0xd0d89140, 0x573b7fcd,
+    0x1dd3a426, 0xde1b9fbc, 0x44b581e7, 0x67794231, 0x563e2851, 0x6917c610, 0x7b3be9d8, 0x9121aaeb,
+    0x3674d163, 0x769d7378, 0xe72fc861, 0xcb889f18, 0xb30deda8, 0x0f22c237, 0x5d4da7a2, 0x7957706b,
+    0x6d66aab8, 0x97b669e5, 0xd12036bd, 0xa32b401e, 0x4ef3ae06, 0x6074a58c, 0x529ad197, 0x14a8b2db,
+    0xd274aafc, 0xfe815053, 0x37ca7339, 0x50ae24d7, 0x97931384, 0x83f8c91c, 0xac4ee49f, 0x70c2d14b,
+    0x74120105, 0x3cc910d0, 0x0cbb185d, 0x47701307, 0xa9d1b961, 0x54abca73, 0x059a731d, 0x201e4368,
+    0x2649af16, 0x4df2f166, 0xbb295d24, 0x7953e2c1, 0xdde78e78, 0xc265adce, 0x5ee5ea1f, 0xb9b3b755,
+    0x5e38999e, 0x2aef79f3, 0xfa04833c, 0x9fcc3667, 0x86b7e1a7, 0x5e0a16a4, 0x0469c0e7, 0x6da9849b,
+    0x50595328, 0x9a0f0d05, 0x372fbaed, 0x88b387b5, 0x0d80bd62, 0x09ccc12d, 0x0ea6d749, 0x67a2d5da,
+    0xcb0232e2, 0x5d61805d, 0x9a7ec348, 0x05a7cb9d, 0x06cd6454, 0x313ca3d6, 0x5cda1236, 0x2ca302b8,
+    0x9976375b, 0xaf621b3d, 0x70306acc, 0xfd4b6eca, 0xf6459979, 0xd635be28, 0x8d778338, 0xca25dee7,
+    0xc58e6838, 0x043317c1, 0x05d787b0, 0x020633f6, 0x06e629d1, 0x02a9ab0f, 0xee286e2c, 0xa29d1077,
+    0x2a79ad81, 0x3a3e9966, 0x433e9fea, 0xabf7e274, 0x0fb342cb, 0xd2c418a3, 0xe235dbb9, 0x9145dcab,
+    0x1573c4ea, 0x5d80bd49, 0x5aaac1af, 0x9350cac3, 0x5d993f87, 0x8a780b4d, 0xd00ec359, 0xc3ac9741,
+    0xf0aea02a, 0x1ae261b0, 0xcd8706e2, 0xd004de90, 0xf02ab203, 0x955d8764, 0x944b556c, 0x20846ad1,
+    0x67f8b550, 0x8b30de1a, 0x45e91ae3, 0x5a96b203, 0xb4b5b63c, 0xe78b3daf, 0x312f62c8, 0xfae3d74c,
+    0x89c0c84f, 0xe9f5b21e, 0xcf995641, 0xe853eb93, 0x1d4e6f28, 0xde46d7ed, 0x804038ae, 0x645b9e7f,
+    0xfcf4637b, 0x01c902e2, 0x5ee67d3d, 0x3e09b66b, 0x753ec2cd, 0x36934547, 0x2e4edbaa, 0xa309ed54,
+    0x73d230f6, 0xfdec05bc, 0xcd928165, 0x82f8e7f4, 0x4593d289, 0x4f12d906, 0xb88d8fa0, 0xac112ad6,
+    0x719cf2ab, 0xb2ffec69, 0xe0af14cc, 0x54e1367c, 0xeefad1c7, 0x77cb2a71, 0x3c3a0d63, 0xe2fc7513,
+    0x2d5cc48f, 0xcf89983a, 0xc089c4fc, 0x7049e676, 0xdc368983, 0x4c266df5, 0x014f7601, 0x52103731,
+    0xfd3eb289, 0xac7d7583, 0x28793406, 0x1727f68f, 0x361dd525, 0x070ccff2, 0x08f2d74e, 0xadfb2ac7,
+    0xf3332215, 0x57c536f2, 0xfb01171c, 0x6f9a41b1, 0xfe041a88, 0x6955f71d, 0x645f245a, 0xee85957a,
+    0xccb1c241, 0x3a83d871, 0xa73261ae, 0x8daef267, 0x8c8a9a88, 0x8cd464fd, 0x8fa87f9e, 0x9cb76907,
+    0x79253a8c, 0xb76a13a1, 0xb8dbef1e, 0x25ccf762, 0xd66bd69b, 0x41ce5be9, 0x23eee420, 0xd3e774a3,
+    0xe52ab63a, 0xba37d58d, 0xb0ff2388, 0xbc616a71, 0x0e369e61, 0xe81a5c62, 0xf25af451, 0x314c107c,
+    0x29bbab41, 0x6ea700f3, 0x33f93819, 0x4a22172b, 0x14f16360, 0x84f1a218, 0x0b9dcc78, 0x31047044,
+    0x0ba6a2ef, 0x02f80a29, 0x49c04022, 0x8be38f12, 0xb30f7f01, 0x7af1b164, 0x3f91866d, 0x66e30fc2,
+    0xfa99b136, 0xbcb99f7b, 0xf64ede41, 0xe89ce84e, 0x2ce87537, 0x9bcdc2de, 0xbbcee685, 0x17e5bc31,
+    0x56f68d82, 0x9a29679f, 0x71037344, 0xb9fb1099, 0x4c93466b, 0xab7bf20e, 0x69bad0df, 0xaae74ba4,
+    0xa49273fc, 0x83a5fd55, 0x6e0a448c, 0xc7397e02, 0x85b413c9, 0xbdfdc45e, 0x7947e0c7, 0x30d53ca7,
+    0x54ef3352, 0xc7400fa7, 0x8bcee1be, 0x41a5ddf8, 0xd16978f9, 0xcc3807e8, 0x9afaaa39, 0xb39b32bb,
+    0x7e446987, 0x4af9e579, 0x273c4266, 0x54a62fba, 0xb5ab38c1, 0x5e829795, 0x4c9d6ae0, 0x3b87e648,
+    0xc7b8a9ca, 0x17785f3c, 0xbc7a2637, 0x9ff76846, 0xa19dec12, 0xfd0e1183, 0x82c39e7a, 0x8f20af2b,
+    0xebe7d5c4, 0x875a799d, 0x8d3ba81e, 0xe5319989, 0x8597671d, 0x1cc8cce5, 0xef72b3e5, 0x3cfe5c0a,
+    0x52adbf1f, 0x298be420, 0x159fd192, 0xf08d9408, 0x45e37dc2, 0x3a11d174, 0xe66a37be, 0x7d39bd5c,
+    0x16390594, 0x5b71995b, 0x189bdaa3, 0x0f62e36b, 0x760b1e3e, 0x26add605, 0x939c1e9b, 0xe1cbc5ac,
+    0xc0451a3a, 0x56996565, 0xd086291a, 0xabd2c29e, 0x6c4f8f06, 0x77ff6e1e, 0x816a485d, 0x62cd3f1a,
+    0xb126665a, 0x391f99bb, 0xb6119f0e, 0xae1292f9, 0xdeb06501, 0xae950db7, 0x39772cbb, 0xfc0fbe9e,
+    0x483fbd0c, 0x497215e5, 0xa9b9dd0a, 0xaa70942a, 0x5fa882f6, 0x93176f46, 0x7ad2bc5c, 0xed86bc3c,
+    0x3551bd14, 0x3d726f49, 0x2e6732d8, 0xef352af4, 0xb4cabec4, 0x5ee6265b, 0xe089d16a, 0xae1a0835,
+    0xb7a13648, 0x7a158169, 0x0cb2ed87, 0x30926bd1, 0x3137c506, 0x1f8e0f10, 0x93c6c372, 0x0317223b,
+    0x30458f2e, 0xf1235595, 0xa084b78e, 0xf1b41e33, 0x6be83b49, 0xaf689ac6, 0xa72d5289, 0x858baecb,
+    0x3bb1df68, 0x93034dc6, 0x961deea7, 0x2002086a, 0xe3c0afc8, 0x6e7536e8, 0x8014ecdf, 0xb823ea94,
+    0x300d6766, 0x508af625, 0xfe3f833e, 0xa3a39601, 0x21488af4, 0x4a912fe1, 0xd32efa90, 0xc21e0b09,
+    0x6bebf43c, 0x1b595d2e, 0x5d1caa3d, 0xec6b60bc, 0x0d22ed6f, 0x6f6fc12f, 0x4542aa26, 0x864798e1,
+    0x8af9fc73, 0x82f66f8e, 0xfecd8294, 0x72865ebf, 0x992a331c, 0xf1131a91, 0x1e75a27e, 0x9e0df5d4,
+    0xa53a6829, 0x2b2a6fc2, 0x891a97c9, 0xecac509d, 0x0f6eb926, 0x7d6a9afc, 0x63ed719c, 0x637f0954,
+    0x83cc7d23, 0xea7d2308, 0x52835f68, 0xe5bc1fb8, 0x650cb9cb, 0x6a33f888, 0x1cd541c6, 0xdf986117,
+    0x8b9a81b5, 0x38de0c61, 0x68ee796e, 0x58dbd1c5, 0xdd242893, 0xfd1bdeb0, 0x7da46417, 0xe63d09f7,
+    0x752f4027, 0x1e893c5f, 0x11239c03, 0x86399f0a, 0xa53f3ea1, 0xbc1f3295, 0x27f3e9de, 0xb96bb476,
+    0x237bb4f6, 0x9f0c68f5, 0x81316f4a, 0xbeeda4e5, 0xb24c686d, 0x83564d33, 0x1b688f39, 0x0815cff3,
+    0xf359bf9b, 0xa73160c3, 0xaa8a347e, 0xb3338dc1, 0x3d44b883, 0xcf74a6e2, 0x6909fad2, 0xe677d9de,
+    0xa2640375, 0x46ff1233, 0xbf56deb3, 0x6cbbc3bd, 0x1dc4e7fe, 0xbb383102, 0x32511255, 0x6af8f5a7,
+    0x249ee4d8, 0xa0a3f1a9, 0x7129e206, 0x08f782bc, 0x79fda5c4, 0x621361f0, 0x1e01227e, 0x398d760a,
+    0xb674fe4d, 0x99bf7a26, 0x6d53f0ec, 0x7c8758a4, 0x8d702902, 0x51bd929f, 0x82e0cd67, 0x092e9bcf,
+    0x8a179483, 0x2248e9b5, 0xb46bf3e9, 0x5f79d034, 0xc3a9297f, 0x422e2c72, 0x8b4f16b5, 0xce9dcc3d,
+    0x41bc10c7, 0xa7a63f5e, 0xb4a88132, 0xd532cb37, 0x73394e85, 0x6eb93459, 0x4c52281f, 0xa5e427d1,
+    0xd7331a13, 0x46feaf4f, 0x6758b405, 0xf9c75bbc, 0xa8df7a13, 0x8799610d, 0xd2b0a80e, 0x165612ba,
+    0xf9036219, 0x891dc62d, 0xabfcb0fc, 0xf8e83479, 0x42fc1743, 0x8309ecea, 0x1cced4e8, 0x378837e5,
+    0xec94e0d2, 0xf3e770fb, 0xe28a9735, 0xd711ec6f, 0x848803eb, 0xf729dce4, 0x4473bafb, 0x38b04012,
+    0xd54561ce, 0x85eb2c97, 0x4514aa9b, 0xbe627d7a, 0xee2d1307, 0x83843c0e, 0x23bac82b, 0x9c006a55,
+    0x8ed9fd3a, 0x6b512f28, 0xf818e91b, 0x1c20c4d9, 0xab6a01a8, 0x218702d4, 0x7a8fc72c, 0xa6f6452c,
+    0x4cc97bb7, 0x3daea011, 0xcfc96f60, 0xe6399211, 0xc5a3062f, 0xcccb73b2, 0x0e81d8ee, 0x7b8acb66,
+    0xa7701bb8, 0x5922141c, 0xb3038c3b, 0xc008d249, 0x10a9bce7, 0xf787657c, 0xbf0d5aea, 0x788aca1b,
+    0xe8a686d9, 0x8f92e0ad, 0xf7e54518, 0x696e814f, 0x71f6cf3f, 0xac762569, 0x09eff14f, 0xfcaab3a9,
+    0x4f51fa1f, 0x8a2a2c11, 0x690716df, 0x75c56509, 0x07bb7d0c, 0xe1f6be79, 0x256ccaf7, 0x17e5c05e,
+    0x8a5e710e, 0x5ba44d87, 0xfcfaac16, 0x706506fe, 0xb72779e9, 0x75f10507, 0x0a9b4fa2, 0xc712bd31,
+    0xb7157f3b, 0x2944914e, 0x6a16c3d0, 0xa7ea70cd, 0x5675fc34, 0xc01dc101, 0x2414dd94, 0x7e4e616c,
+    0x1959308a, 0x259594f8, 0xb95b8e54, 0xcfdb6634, 0x66b1eead, 0xfea4a6b4, 0x307e9148, 0x0ab7a7fb,
+    0x16c83452, 0x19418323, 0x5bdf469d, 0x901b6c75, 0xe13de85e, 0xee87d01c, 0x92103545, 0x322dd0fb,
+    0x3b94267c, 0x5d71921e, 0x4ca72313, 0x31103d5f, 0x18c2140c, 0x8973788b, 0xa1863b49, 0xe09cba01,
+    0x71a459c7, 0x0f0f05bd, 0x863d962e, 0xe10fba5f, 0x25f564ee, 0x2f161d4d, 0x2cfd0ac7, 0x71df3c16,
+    0xe1669021, 0x5273ea07, 0x044a7b7b, 0x29de00ec, 0x5e786cc7, 0xd4765709, 0x29c97080, 0xbee18a4e,
+    0xdbfd886f, 0x59cc0a9d, 0x2367f6dd, 0x392b7a5a, 0xaf4e994e, 0xc0fd5287, 0x6531d735, 0x85049dcc,
+    0xbe986f03, 0x9f8e4edd, 0x3c499bbc, 0x40486abb, 0xf6ed1588, 0xad8be713, 0x7dd7bbf3, 0x7d63927a,
+    0x1f58d195, 0x82cb5feb, 0x9066323c, 0x02485500, 0xcb28a385, 0x39393a7d, 0x3805fdd9, 0x6d5bf049,
+    0x51fa85e8, 0xcc3d4f79, 0x83ecc802, 0x4a534896, 0xfd4bfc60, 0x08f8f57c, 0x8a0bece4, 0x2d507cbf,
+    0xc76be0ca, 0xe2720c16, 0x79445d9e, 0x92e1c432, 0x147dcbb2, 0x5041c1c1, 0x7ad584c8, 0xf2b96057,
+    0xdaa0d77d, 0xd8c79ded, 0xfb069594, 0x67be0d07, 0x4568454f, 0x01803c29, 0x3bc37f49, 0xddd08fb4,
+    0x910dadcf, 0x9bc2a701, 0xa624a410, 0x1912af88, 0x19252f00, 0xbcdcabc1, 0x64b8aa64, 0x474e280a,
+    0xad524890, 0x1649d544, 0xacc1af70, 0x149ed565, 0xb9fc5662, 0x30f3a018, 0x0d5ecbcd, 0x5ee7e02f,
+    0x2b15dc2e, 0x55913a78, 0x56cb43db, 0x974f6c22, 0x85ee9177, 0x45be815d, 0xa6d2b805, 0xd160fecf,
+    0x69364b7e, 0x220383c9, 0x7197149e, 0xfd008195, 0xbb8c66fa, 0x1d04ba67, 0xa41224cd, 0x17488c44,
+    0x2e78dc96, 0x21b4c29c, 0xdd228576, 0xeda5ef2e, 0x76cbc4e2, 0xdf2eb3b3, 0xf52e5696, 0x96b506a4,
+    0x60ba0c7d, 0x9a9f7dbb, 0x70503111, 0x19d3c653, 0x59c58790, 0xf9cde23f, 0x3179fe15, 0x850f1212,
+    0x8f8e3bde, 0x56331a9c, 0x2fbdb468, 0x7fb0d233, 0x2a61dd2e, 0x5454dc7e, 0x39191b1e, 0x4d57126d,
+    0xcc1183f1, 0x3b99f2c1, 0xea92cb42, 0x97fc4a2d, 0xc666524c, 0xd0ae6f97, 0xea72e09a, 0x668d687f,
+    0x2dbb34ad, 0x8dcd14aa, 0xb2e321eb, 0x9d7501f2, 0x4ffa9380, 0x302c2992, 0xd990dc5b, 0x7b30b3a7,
+    0x860d6665, 0xf42877fc, 0xaf207917, 0xa37a0cdd, 0x263be0a3, 0x71431956, 0xf3d3dff1, 0x189d952d,
+    0x609c3fde, 0xd0e9358f, 0xa44ada96, 0xc07077cb, 0x614a53ca, 0xb2fdfd00, 0x38a3ec8c, 0xde4fb286,
+    0x86484a8e, 0xf2b2a583, 0xdb134bc1, 0xfbac4cd7, 0xc185f6e9, 0x66bf18e9, 0xa1e42821, 0xa1d9ec0d,
+    0x04de1c2a, 0x536157fd, 0x7585cf03, 0x42da6851, 0x9a400570, 0x03c4bc60, 0x60311848, 0xb7a59ca7,
+    0xa2ddd0e7, 0x49ac1404, 0x0666d746, 0x61f662e9, 0x20d8b29a, 0xff5b1ed1, 0x8f7a4995, 0x6ca4eed0,
+    0x05f1f0ef, 0xa5fb575a, 0xea7e919f, 0x4b5b82c8, 0xfdfa5e3f, 0x2041497d, 0x6de60d61, 0xddbd43ab,
+    0x92475752, 0xa67b09b6, 0xe9de57c1, 0x7ebfb199, 0xe22a8918, 0xd1f33d97, 0xb91fd4ca, 0xb7c41593,
+    0xd2f5c239, 0x4f2bee87, 0xe5cbda1d, 0xc4d6d4b5, 0xf7ad0b23, 0xc550e161, 0x1a34b7a9, 0x8ff87b66,
+    0x82ed3ca9, 0x4bba0921, 0xaaa9fc69, 0xeefb93c6, 0x07339fba, 0x72ca9d20, 0x2bd6a0a5, 0x4d846a65,
+    0x1017361e, 0xf1a8ec9d, 0x3fc179a7, 0x4a0cdeb6, 0x214bcecf, 0x4c55d756, 0x80a9d2d2, 0x9174b430,
+    0x316546ac, 0x59ef199e, 0xbdfe749e, 0x70993223, 0xe9b42369, 0xdb5b0efe, 0xde9bcacb, 0x2dd1d9ac,
+    0x5bdf10b4, 0xec05c67f, 0xff578f83, 0x15fb5fda, 0xc8750a71, 0x2de98c36, 0xa4200e1c, 0x2e39f3af,
+    0x1ff4019f, 0x953e659e, 0xfbb908ab, 0x1290e14f, 0xd048bfe0, 0xd3cf0ce2, 0x3cbf90cf, 0x365888de,
+    0xa1fb4b20, 0x7b47d546, 0x277eb902, 0x5b504dc4, 0xb2056aea, 0xb33cbc38, 0x04fedd33, 0x62fb54bc,
+    0xc46e3982, 0x43143f5b, 0x64933a1e, 0x88843c5d, 0xbf0b7497, 0xf261bcf8, 0xae7c1f0d, 0xda60cc58,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000004503599627370496 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934f, 0x0979a370,
+    0x00000000,
+    0xa5e63115, 0xbf3d696e, 0x57939373, 0xd77106cc, 0xda0b01c9, 0x60e33590, 0xcc86560e, 0x6547a1f1,
+    0x306dd66f, 0xa3f86f45, 0x7ba2fd03, 0x83398d16, 0x96950fc5, 0x3f86bf88, 0x75d0117b, 0x98fb31f2,
+    0x88e1d581, 0x9c20a5c9, 0xfebfc808, 0x1d1b45b9, 0x5ac30783, 0x2c6920a0, 0xc8db5fa7, 0x7576dc10,
+    0x387748c7, 0xabc5bf0a, 0x4bb332b5, 0xa750107c, 0x86d685de, 0x02cf6c4c, 0xf609aa9f, 0x48b00466,
+    0xd4811002, 0xb935b8b4, 0x2c021e7e, 0xce36c32f, 0xfc76efb8, 0x2c7a611e, 0x8bb01d94, 0xa8bf5fe2,
+    0x510813a3, 0xc5a982fa, 0xfc49f68e, 0xd071fb52, 0x441c642b, 0x54edfc08, 0xb5db9b9b, 0x060bb0fa,
+    0xc54604c7, 0x87fa0d69, 0x580e46e0, 0xc90322d4, 0xf5bea27b, 0x7e1d8f6c, 0x10ea7807, 0x79bd065a,
+    0x89830878, 0x3ffb4396, 0xe67d789b, 0x464eaa79, 0xb29748c9, 0x3ea874a4, 0xe2ea6db2, 0xec4ece97,
+    0xd139b7d3, 0x3a6547f3, 0x89122d80, 0x2a97336b, 0x73531f59, 0xd28198ef, 0x5e33a942, 0x197a37b9,
+    0x8eaba6a1, 0x6176693b, 0xe53cc8dc, 0xc5d62f6a, 0x6ec0193d, 0x2072ca75, 0x6b3549c5, 0x52a97a40,
+    0x119d9f68, 0xa29168b8, 0x21c60bc8, 0x90f24e41, 0x78f4b604, 0xb79af754, 0xc656b701, 0x9a6b3314,
+    0x83ee6322, 0x4e4db3e8, 0xd8bf4d67, 0xc22e96e7, 0xaed29bef, 0x491040a0, 0xb7d49037, 0xfa635b93,
+    0x7bb32639, 0xad147bcc, 0x8643dd34, 0xa53a5696, 0x4c407384, 0x40eaaa89, 0x52431e59, 0xacaffb1d,
+    0xe85e5be0, 0x6a717495, 0x1ec7cc0f, 0xa0140a1d, 0x3a4ae5d0, 0xede25f07, 0x79a3cc15, 0x9bf8a08f,
+    0xd624ce28, 0x1cb7d788, 0x977a8ea9, 0x726642bc, 0xd07b98b4, 0xebc0156e, 0x8579408e, 0xfc2ad26f,
+    0x0b4cf7f4, 0xd655e2a2, 0xb7f2045d, 0x64d08c7b, 0x265af6b8, 0x8c8fa6c8, 0xe703f1a0, 0x33e5fa42,
+    0x1190e12c, 0xaa711a63, 0x1412eea4, 0x8aa895e6, 0xe1c2d5d6, 0x3a3260bd, 0xac560423, 0x4346bb79,
+    0x1d98f722, 0x28e93bd2, 0xe8e01ca6, 0x87e7e3a4, 0x99490045, 0xe9d99a79, 0x696527a5, 0xdda8bce5,
+    0x95f47812, 0xbbbb0592, 0x767ad0e0, 0x9099e9a9, 0x00f64163, 0x456b7999, 0x8afd2614, 0xf8bd25be,
+    0x1c0f7175, 0x708b9470, 0x0e3bf315, 0x43c69146, 0x936f0d7c, 0x45da4bbe, 0xb92cfd9b, 0x553a0fe8,
+    0xcd526c59, 0xe7e26b67, 0x473884d9, 0x3d672abe, 0x40bb48b4, 0xa4f3b054, 0xf0f0ab09, 0xa0d0000c,
+    0x2904afac, 0xb1d9ecbc, 0x434c063e, 0x5ece3d1e, 0xed78d2c4, 0x66f37b01, 0x34ebaeb6, 0x2ac1c29a,
+    0xec2493cb, 0x3add25ab, 0xb3f47703, 0x4294d659, 0xaf719eb7, 0xa8124cf2, 0x5c8da554, 0x2553358a,
+    0xe9e2388e, 0x982f6b34, 0x8c003e10, 0x2205ebd5, 0x0bfd240c, 0x89cdaa8e, 0xaad9390b, 0x2f1875d3,
+    0x1a7abf54, 0x08ba0494, 0x2059ac3b, 0xa5394723, 0x12a39900, 0xb8360268, 0x4c8fc348, 0x6788685a,
+    0x77e6de9c, 0xccb3b6b1, 0xa4c8beb6, 0x469d771c, 0x076c6010, 0x04f79223, 0x90b143fa, 0x8f3b0012,
+    0x19f2b4d8, 0xd2fd67de, 0x0522d6bf, 0xde3686ea, 0x07d239b5, 0x520d1ce1, 0x658602c9, 0xdbe7111f,
+    0xe58fc385, 0xb5542710, 0xef560d02, 0x94a92e68, 0x67d9127c, 0xac6b4a27, 0x2f387bf3, 0xccbb5309,
+    0x7caeee9a, 0x83b192b9, 0xc9441c4a, 0x4bca2360, 0x17c7cc18, 0x9cef6c07, 0xdc816855, 0x1d4c9bf3,
+    0x70471241, 0xc8d8e724, 0x3381c198, 0x49191e8e, 0xb886e1d9, 0x11596804, 0xfbd26243, 0xc2781690,
+    0xfb40e1c2, 0xc40b4b57, 0xb14a9c6d, 0x00e6be69, 0x2b2d6e22, 0x3a3ef197, 0x4499d859, 0x792b1b1d,
+    0x9c18530b, 0x3fa46b7e, 0x1c8162d5, 0xb62e429e, 0x568a3ac5, 0xe7b59153, 0x44685afb, 0x2ad2a576,
+    0xfabcb6fc, 0x27b7ca0f, 0x05695b9e, 0x03f60612, 0x7750f1ac, 0x2d334b92, 0x615b4404, 0x12bee532,
+    0xa51f352c, 0x34b99eae, 0x77a79e4e, 0x3c98b75e, 0x530c69c3, 0x38ee2269, 0x562e0f5b, 0xc39b056c,
+    0x7c4de747, 0xda02bda7, 0x6804e31b, 0x9559afbd, 0x3c9382f2, 0xa7d64797, 0x41ce0787, 0xec9024bc,
+    0x3aba9cc3, 0x76b43aa4, 0x9a5a9784, 0xe0a7db3d, 0xd10dbd88, 0x9d923e01, 0xc03c44c6, 0x76f32e3a,
+    0x3853c349, 0x59e1ad41, 0x949f7c73, 0x1d3ad52f, 0xde3b30cc, 0x6e2a2320, 0x40dafd8e, 0x5d9d850a,
+    0x6fa48f93, 0xf06a3dcf, 0x53282a97, 0x6e9558c3, 0xf91bcde3, 0x44441787, 0xc50196f9, 0x430e7ff9,
+    0x25433103, 0xb725c296, 0xc0b53552, 0xe20104ee, 0x5bdd5647, 0xd02b1e59, 0x77807199, 0xc44310b6,
+    0xdeaa0a12, 0x1fdc3e25, 0x7510e799, 0x0cce34db, 0x173225d1, 0x29ce0078, 0x09bff3bd, 0x2f2e105d,
+    0x5ddb1767, 0x0ab9099d, 0x931ff9c9, 0x3a0657fa, 0xff4b3bd8, 0x75168785, 0xb5d7380b, 0x6db0a39f,
+    0x35af93c8, 0xe79ffe87, 0x3e2fbbd3, 0xcf88f6e6, 0xa83928da, 0xab0061f3, 0xe1f2584a, 0xa4454c31,
+    0xb101edaa, 0x66bc8d81, 0xe7d589a1, 0xa674f4ce, 0xd611e89e, 0x645e75cd, 0x85aab753, 0x0e589cc3,
+    0xcbc8f0f6, 0x56649953, 0xa4583637, 0xe3990cd6, 0xbed819fb, 0xc7f7be10, 0x2a2cd8fe, 0x4fe9711b,
+    0x1ddcbd50, 0x576a6f58, 0xc312cb2d, 0x5b5fbc31, 0x4c8f2a00, 0xc24defeb, 0x67257b7b, 0xf53b0198,
+    0xf6fa181c, 0x952f0f48, 0x8ec9447f, 0x5d7a7453, 0x3d69d0b3, 0x14493bc0, 0x5b77e870, 0xd2700eca,
+    0x5537af8f, 0x1061cac9, 0x496aaaa0, 0x2b766878, 0x2712a58f, 0xb460fc81, 0x9b4b43ba, 0x17e2dae1,
+    0x2664d9e7, 0xdb9087bd, 0xa70cd318, 0xd8a7fc3f, 0x499262f6, 0x02c24573, 0x58973ce7, 0x5dc8ba47,
+    0x0e764d2e, 0x15ae34ee, 0xc0777db5, 0xf98e34b8, 0x5078219a, 0xb444e253, 0x55ace969, 0x5185b8e3,
+    0x1222793f, 0x4c2ef0af, 0x4924f813, 0x7ab7ee70, 0x9df8b622, 0xbfa7064e, 0x4321784f, 0xf8066f4c,
+    0x9459ec03, 0x1b918b25, 0xa8285be7, 0xe4d5880f, 0x315fdf87, 0x54217e4e, 0x973bc872, 0x9f06e624,
+    0x6456473d, 0xace48f07, 0x3710f372, 0x67f0cf8c, 0x299d756d, 0xada9dba9, 0xd30e102a, 0xd24773a5,
+    0xb7ddf6cb, 0x90fc1c5c, 0x000af34c, 0xd81d1a02, 0x74464fc4, 0xa3835ab7, 0xa32e1fb1, 0x85cfb2c5,
+    0xc84a163c, 0x711499a0, 0xd97024a2, 0xf73e0b25, 0x5f9822ae, 0x4868095e, 0xf72a1958, 0x230d7d81,
+    0xcae18886, 0xc12fb9bd, 0xc0d3a317, 0x79c7a85c, 0x2dcbde29, 0xb7e30eaa, 0x51ba79a1, 0x31616a5b,
+    0x349528c9, 0xeb725ba0, 0x138595f0, 0x6eb2f2b1, 0xd95eafa1, 0x7409a195, 0x690ea425, 0x4a0f83c5,
+    0xf2d5c160, 0x8cd134e5, 0x8ef437bc, 0x2ccedd72, 0x114b58a0, 0xf8d15895, 0x6fff75d5, 0x762a1c44,
+    0x27a39f36, 0x41be2c4b, 0xa71f67c2, 0xa65e50db, 0xbb96b2cc, 0x194de24e, 0x3733fa21, 0x43698144,
+    0xeb2927d5, 0xfc7003fa, 0xdecaff96, 0x1f84addb, 0x22af1668, 0xe48ccd1e, 0x6f9b4d74, 0x04501721,
+    0x920a251e, 0x38586d2d, 0x6e3d02fb, 0x121466ac, 0xff434bd9, 0x9a98264d, 0x62c374b8, 0xf214c0d1,
+    0x146e397f, 0xa79a5a5f, 0x5dd33d5b, 0xb9d83efb, 0xa889de3a, 0x8b6580a3, 0x5beda845, 0x7107ca9b,
+    0xd9a12583, 0x661c6e34, 0xc7e403da, 0x49c43b1b, 0x8b74e677, 0xf8e6f807, 0x87e4b6c5, 0x11dba3a6,
+    0x312c85c3, 0x4dca7718, 0x860bce8e, 0x85dc4ca1, 0x0ca1edea, 0x506c05a5, 0x35739974, 0x67f9354f,
+    0xb0e2ff14, 0xaca811ad, 0xac0b58b0, 0xd52f1fd8, 0x0343673a, 0x9e1f94a0, 0xee3ea4e6, 0xfcfc0325,
+    0xfb649302, 0x02afb7f8, 0x725e167f, 0xf1bac037, 0x062e02c3, 0x41c89f0f, 0xeb002f0b, 0x2551fc2b,
+    0x644f2196, 0xf411e787, 0x22b45c74, 0xf1650fa5, 0x1296c5fa, 0xde25166d, 0xfa214e66, 0x5b1909f7,
+    0xe3e24a4b, 0xeff8aa1d, 0x33344382, 0x2a9c0291, 0x498aa1e5, 0xc0943a8d, 0x50809d74, 0xc20c0138,
+    0xfb4ee0c2, 0x7ca38c69, 0x75e36c24, 0x6b8b7c0a, 0xaab02c25, 0x2e02bb24, 0x058520b8, 0xfdce05e5,
+    0x1d7dc8fe, 0x6d361e2e, 0x1d47d9ac, 0x8db00873, 0x48d8adac, 0xcb2842dc, 0x0e7b2954, 0x5b211804,
+    0x2effbfbe, 0x3d5d77d6, 0x012a6a95, 0x3998cc00, 0xd4ab8613, 0xcbeeff4a, 0xd45aa825, 0x1141770a,
+    0x6a949327, 0x73142d88, 0xc6868f3e, 0x541ec3b3, 0xabac484e, 0xdaf576dd, 0x22a9d0ea, 0x2565bb5c,
+    0x7af5239b, 0x9a9a7dfe, 0x985dd3fb, 0x90195cac, 0x6d7483f0, 0xcd6d9e03, 0x189d61b8, 0x460e223f,
+    0x81a92eab, 0x7c55929d, 0x4a97d92b, 0x0d40c74e, 0x5f067ba8, 0xb9cf71ad, 0x84f6a0f4, 0x16d1a60a,
+    0x5fa55eb6, 0x57e4961f, 0x1b2d8696, 0x6babf825, 0x6941e1a2, 0x029b9869, 0xe178b481, 0xe0cbd6b1,
+    0x8207cd2b, 0x73a1539b, 0x085a846e, 0x5b5a509b, 0x7ba3a6f5, 0x268bef5e, 0x26e34b29, 0x665bbc35,
+    0xd5170770, 0xaba29e64, 0x67fa561a, 0x16018bce, 0xc4f86c23, 0x1f95bac6, 0x9095bf80, 0x4e1ddbae,
+    0xb8dc282f, 0x4b14ffd3, 0xe1aee08a, 0x803ea852, 0xf0cffb94, 0xbabe5ebf, 0xb14121b0, 0x26805e06,
+    0x236ca9ec, 0x4b62b31a, 0x71ba0bef, 0x5ff9c385, 0x0543b9f1, 0x6806068d, 0xd3c773e3, 0xa10a47d8,
+    0xfeacdc05, 0xdee5e5c0, 0x9383d93c, 0x4819bedb, 0xdf8e2620, 0xf8a29c08, 0xd7bf2ac5, 0xf34ac229,
+    0x4b886a9e, 0x46a8ee60, 0x616053b6, 0xc84b715c, 0x4bb7ad03, 0x3092efb9, 0xef66bbb0, 0xacbb36a8,
+    0x6554f19a, 0xc385f926, 0x37ddb6ee, 0x7367fa5a, 0xaaf43abe, 0x18024436, 0x6c6fed37, 0x85a59e45,
+    0xb186538b, 0xf5ab3b54, 0x9e496457, 0x20eacc6c, 0xf075677f, 0xc5aaa0c0, 0x18d564e7, 0x46d0f18a,
+    0x47165715, 0xe7eeab9e, 0x3c9d4c7e, 0xbeaab3c3, 0xc2e70f98, 0x6bfc7cba, 0x1d0370be, 0x471f6159,
+    0x5f6e2cec, 0x32ccbf32, 0xb8e9b9c6, 0x9cd54018, 0x5e7264e7, 0x4f9b316c, 0xee12b396, 0x2025980b,
+    0xa363abaa, 0xd830bf76, 0xf490b489, 0x3624c9a4, 0x87c76947, 0x4061e765, 0x92c8f6f7, 0x37a5fe7c,
+    0x2ca9e2b5, 0x3a1edf96, 0xa19c6bfe, 0x68e7d4e0, 0x5d6e87c4, 0xe5dcd029, 0x896b9f16, 0x1937cc3e,
+    0x6cce51ab, 0x30efd354, 0x483afdec, 0x6f925430, 0xcd0e4a55, 0xd61b180b, 0xe05b3f49, 0xf76a8085,
+    0xb1171ffd, 0xa20ceb31, 0x01b741f4, 0x66d35bcf, 0x90f48af8, 0x3f193173, 0x34ad1212, 0xe22cb165,
+    0xe44d17d7, 0x45474c91, 0xcc6020fc, 0x96ed9586, 0x65abb892, 0xd8dc2022, 0x0742b995, 0x8acb63ae,
+    0x01193315, 0xdd70ba52, 0x663b8bc6, 0xb8aa229a, 0x11e7b025, 0x5cda21da, 0xc21f984d, 0xa5822c5d,
+    0xed0985d3, 0xe1587514, 0x32dbb54f, 0x9d43cb47, 0xc7c547f5, 0x71d90b78, 0xe37f9091, 0xbdbd7a8b,
+    0x05069db6, 0xeba834a5, 0xb2ce9e30, 0x003ff1eb, 0x6d79c882, 0x707d8273, 0x024bc44a, 0x6a28361b,
+    0xcb172456, 0x58764700, 0x8a74f267, 0x41964a1b, 0x6d0b7457, 0x6583a369, 0x85e6d3bb, 0xccfc983e,
+    0x233d1498, 0x6db124e1, 0xc6309c1c, 0x00314e16, 0xae315ff4, 0x70602260, 0x3583b545, 0x2108350d,
+    0x093c01d4, 0xdb6eaebe, 0xcb3a80f2, 0xfb40d2a5, 0xf8f70666, 0xf85fabb6, 0x10e061d7, 0xbb6bae7f,
+    0x71498d38, 0x32fa701b, 0x224c104d, 0xc5240935, 0xc4e43bd5, 0x39f98e43, 0x3ac68b21, 0x6842619c,
+    0xbfa6a1a7, 0x79a65df7, 0x08079ea3, 0xa585c936, 0xa3873582, 0x90b609dd, 0x60109575, 0xff6d208d,
+    0x042a21a4, 0x2e0ba73c, 0x28094e0f, 0x362b5278, 0x85ea1578, 0x1aed3ae9, 0x3b170149, 0xe08cdfd5,
+    0x50a74392, 0x9e1c781c, 0x40279cdf, 0x3f9b6203, 0xcaca2ad8, 0x619e5f61, 0x2f8bf963, 0xf6fe7b11,
+    0x9cb461da, 0x4de4574c, 0x9ce193bb, 0xd98512ef, 0x2f1754c3, 0x1333ff56, 0xdd10ec03, 0x2bc89be8,
+    0x94b4a3ec, 0x1418bc03, 0x7fe63b29, 0xf0a6b854, 0xbfe932c4, 0x1745bf82, 0x293e9faf, 0x076fa8f8,
+    0x09e73daa, 0x9cd4ef9a, 0x54f8c13c, 0x8b92ad8b, 0x79e8ba48, 0x4de5c0e0, 0xa44b4987, 0x761dd311,
+    0xcca842f5, 0x24c43cf8, 0xf5d0f887, 0xbca22201, 0x7bc7edf5, 0x5a536a19, 0x09a971dc, 0x59cf3262,
+    0xa1fc5c5e, 0xb6d4d77b, 0xc44de02a, 0x9d897e54, 0x5e90a006, 0x2ddae74f, 0x89e3b31c, 0x8cd58e89,
+    0xdf064053, 0x0f251745, 0xa2deee0c, 0x1703b0ed, 0xf55d5a7d, 0x074c9382, 0xb9f14533, 0x25e42ae0,
+    0xf2375ea4, 0x2df1a13c, 0x1ee72bef, 0xfe4a4858, 0xeb70c443, 0x0537c3b7, 0x76a39aae, 0x88373e3e,
+    0xaf9fda93, 0x13d8f626, 0x95b437f4, 0xad444372, 0xf4f1abe0, 0x57937d8b, 0xb7428a66, 0x95658c1c,
+    0x7bb3c646, 0xa6f3f558, 0x3b0586c0, 0x7004dcb6, 0x63861c89, 0x0a492d63, 0x7b03e958, 0x08347c6b,
+    0x569212dd, 0x4fbd104e, 0xf08981e7, 0x08426e24, 0xd27ea4a2, 0xcc89ffb1, 0x2fc01296, 0x3d6ea2b3,
+    0x356d7a09, 0x55b216be, 0xa3ea27bf, 0x6f32b26a, 0xfe754833, 0xbacc118d, 0x046c4d5f, 0xf288173c,
+    0x999b70fb, 0x36376a63, 0x51c3781d, 0xf7644f61, 0xf1b79ee4, 0xe3a26a74, 0x7ceb4de7, 0xadab9408,
+    0x8ec95e68, 0xd437e9cc, 0x2fc9ebfb, 0x80f2e4c4, 0x421b8ec9, 0x71e075bb, 0xeec9659f, 0x466a0daf,
+    0x4bea2c28, 0xafe7bb06, 0xaa87ebee, 0xf9e7e4c5, 0x4ac27504, 0x6f62f017, 0x99afa696, 0x82d3feb0,
+    0xaf7e0b40, 0xb31f8732, 0x8e0e8f9d, 0x72e18538, 0x2d93f84f, 0x4071debd, 0x6783c906, 0x2ce7de64,
+    0xc3383441, 0xe85ab5fc, 0x649ab224, 0x48244ae8, 0x6c758bd6, 0x70ded17e, 0xddd57a37, 0xe115e978,
+    0xd009b3d6, 0xc7d49434, 0x1ea01ae0, 0x1ba6050b, 0x7d872b79, 0xa94241ec, 0xb4619704, 0x6d8ad17f,
+    0xbae6dc9e, 0xeede9507, 0x2cfea43b, 0xae0afca9, 0x074199a9, 0xc375a1b6, 0x35a22497, 0xa5c24b07,
+    0xd9987799, 0xed23696d, 0xab3e3094, 0xa11cd637, 0x3f3127f1, 0x280d93dc, 0x1c0d2e04, 0xbdfede42,
+    0x52e353a0, 0xb64bc2d8, 0x685dd982, 0xb9a4b6a7, 0x15614fa8, 0xfd7c7d53, 0x5ba7a9b4, 0xfc01cff8,
+    0x42044e06, 0x7cb13ded, 0x0ad469ec, 0xe472b0bd, 0xb4899235, 0x33d8ff2e, 0x4f7fad2e, 0x2f2ea522,
+    0xbc6db3b6, 0xd8d38d6c, 0x208c7656, 0x205c3bdd, 0x07a7143b, 0xfda4c75b, 0x1523f40f, 0x713c36ae,
+    0x57c4407a, 0xff0f5b35, 0xa90912e3, 0x961a9a1b, 0x2a779e3d, 0xad369bd7, 0x17db4374, 0x0fa5e401,
+    0x90ad830d, 0x6b872e53, 0x3a3c26c4, 0x862188aa, 0x774df719, 0x5807640a, 0x995b291b, 0x6989bd7c,
+    0xf693d88b, 0xcd273b50, 0xa2c6170f, 0x5237040d, 0x7071b3a7, 0x5c16b9b6, 0x1f613054, 0x2d87b629,
+    0x6be165f7, 0x379c2723, 0xc3f81614, 0x47c5a2ba, 0x297cc44f, 0xb0bdfa05, 0x912109f1, 0x190a385c,
+    0x525cb801, 0xa7e7a89d, 0x6030b70b, 0x69be7c7f, 0x97c2ce9d, 0x92ce3c2b, 0x3bd5297b, 0xbf5be956,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000002251799813685248 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a7, 0x84bcd1b7,
+    0x00000000,
+    0xce153db7, 0x07a9e411, 0x66785779, 0xa545986f, 0x4b4b569a, 0xe68ad2f4, 0x1c5b76b3, 0x94e01b42,
+    0x83ddac76, 0xf35e36a0, 0xbfd04860, 0x04c21af0, 0x60530733, 0xb8c8e9ed, 0x91be4c12, 0x73374265,
+    0xeb1b6880, 0x7fad04b8, 0xd0297af2, 0x6d62adb7, 0x9bcb39cb, 0x7960a291, 0x4588b0fb, 0xfcdfbe1f,
+    0x5def00e0, 0x65fe392b, 0x1ee1a952, 0x9d703762, 0x0dc60527, 0x3fbad125, 0xc70786bd, 0x5ba8fdfe,
+    0x6094856c, 0x7d27f4ea, 0x47532384, 0x48b5940c, 0x38bdc977, 0x2b569fb6, 0xb01f6256, 0xbb1f0f86,
+    0x1287f1a6, 0xb2d45091, 0x5201069b, 0x2b574f42, 0xf3b02e1d, 0x0d93d12e, 0xda084e1b, 0xa68119e9,
+    0x9f3345c4, 0x9b97652a, 0x6d97f9c0, 0x269c7f58, 0xcce469a4, 0xe8d55edd, 0xf42d448e, 0x7e0a33d5,
+    0x0dbd05a7, 0x0f8117b0, 0xfd841284, 0x719d308c, 0x12a91edc, 0x6ca8d9b7, 0xa9a88d35, 0x07310b85,
+    0x0192f8b9, 0xcf19b190, 0xc5138ebf, 0x2374dc50, 0x9fda15fc, 0xf1fa5ded, 0x8b66badc, 0xdb034a3f,
+    0xf7018ec1, 0x76673b9e, 0x50392e98, 0xd9160d2d, 0x576c9f00, 0xedf5128e, 0x3d32ee36, 0x6e9c60c1,
+    0x77e3b108, 0xf4219e0f, 0x33cf87a2, 0x31c59b12, 0xe9097b5e, 0xbc3582e3, 0xb0614d92, 0x7a56061b,
+    0x85f71f8f, 0x270b8feb, 0xfbd1a7c4, 0x202405e6, 0x32f5cf97, 0x066ff06c, 0x3038d336, 0xb5968fab,
+    0x8e69d582, 0x879cbddd, 0x767d62f7, 0x80269d80, 0x3695fab0, 0xb063570d, 0xf0b41af3, 0x22a06296,
+    0x4fb2e40c, 0xf88bd44f, 0x8ce9dcf1, 0xf25945f5, 0xdc33245d, 0xc0e40eb0, 0x0d27de6b, 0x64a370af,
+    0x96eb97a8, 0x0b4c84d2, 0x80473b6b, 0x6d8d8169, 0x1cdfc1c6, 0x351796d3, 0x617b948e, 0x2908c8d3,
+    0xb14853f6, 0xba3b74a4, 0xe3931a1d, 0xf63fb391, 0x124165e8, 0x9fbcf185, 0x20444db0, 0x443306a7,
+    0x76338351, 0x87ecca87, 0x54ee8360, 0x26a45e74, 0x41261a15, 0x9bb87384, 0xd7ed4bd7, 0x2e907abd,
+    0x6d94e546, 0x85bfa035, 0xa5172f97, 0x8a277447, 0x9f4603fd, 0xf2c2b60c, 0x39a66a71, 0xa95d8693,
+    0x3466c8fb, 0xbf9e416d, 0xcd3e9a52, 0xba18dd51, 0xba8b4862, 0x304b42c7, 0x2f9b9883, 0xbfe28a55,
+    0x956186d5, 0xb156140b, 0x83ebce99, 0x1075cc07, 0x0da0d10c, 0xa4f15e5e, 0xae6e2774, 0x933a5ca8,
+    0x554c195d, 0x20677f22, 0x31c9139f, 0xdb927bde, 0xff8b2923, 0xd83453c0, 0x1dd4c94b, 0xeb708f30,
+    0x0941a45c, 0x6bc24067, 0x1c5ed4a3, 0xc8d4fceb, 0xe4d774a8, 0xc34f8527, 0x822b00f3, 0x40baa4bd,
+    0x49c73ed2, 0x6d9cd637, 0x39612ad6, 0x8fd6bf5e, 0xd3c9d73f, 0x86e722fc, 0xf9bca949, 0x55f524b4,
+    0x696e3532, 0x38b9366a, 0xa05fe6ef, 0x70db5c39, 0x602cdf17, 0xc90f322d, 0xe08f0eaf, 0x3059d4ae,
+    0x3dec2021, 0x215f19c8, 0x92914cd6, 0x31fb5f04, 0xc531b3ad, 0x2b3ca8d8, 0x5728f1cf, 0x41b90f48,
+    0xcc3cd0fb, 0x5290f902, 0xf33c671b, 0x2bca9e63, 0x4d401d36, 0xa602201d, 0x39299adf, 0xfa19feb8,
+    0x5a293af5, 0xf3d1d7b8, 0xd57faae5, 0x9eafcae0, 0xa1984af4, 0x4bcf0476, 0x51952ef8, 0x5f2004d6,
+    0x73a50fdb, 0xc62a716c, 0xbe4b6d57, 0x977c9b92, 0x2184e3aa, 0xc8ee15db, 0x745834d6, 0x3fc5fe53,
+    0x72cf2138, 0x9e870b0c, 0xe0b91ae4, 0x4d213ed3, 0x610b4783, 0xe3170de4, 0xd4af5ce6, 0xd4cc03fa,
+    0xe2ddc09b, 0xb0d49e0a, 0x40728ce9, 0x2f32fbcc, 0x12848777, 0x15d770e5, 0xb02c9bd2, 0xa1924aa8,
+    0x3c2910e3, 0xe9ae61cf, 0x95b33a59, 0x50d6d872, 0x8506515b, 0xdd3ccdba, 0x2cffbf3d, 0x1e43e298,
+    0xfc7a07cf, 0x85a6e531, 0x94beb2e8, 0xa8ab1a1a, 0xc7311792, 0x38835f57, 0xedf5a4e6, 0x16062521,
+    0x86a0b1d7, 0xca2812a4, 0xdfedd50d, 0xf99f5b35, 0x6aabf9c9, 0xe14c317a, 0xdf72e967, 0xba69c151,
+    0xa86e46c2, 0x5bb151a3, 0xc6fdd608, 0x62cb482f, 0x52c69e0c, 0x7b9a1443, 0x5a8bbc2d, 0x2802c9fd,
+    0x262f27da, 0xde2fa889, 0xbe27cd7b, 0x4b4d29b4, 0x495fc709, 0xb1ad3018, 0xfcece6d6, 0xc1cc8594,
+    0xc8d12299, 0xf60192eb, 0x9cabf38d, 0xff7e319c, 0xbae4c7c0, 0x9bc354b6, 0xb50e3707, 0xaf60fa9e,
+    0x68f31b15, 0xfc2da282, 0xaf50f269, 0x32fa4866, 0x89d49e2e, 0xec57063f, 0x1b1977a5, 0x1f74dae4,
+    0x7b1a147d, 0x8bf8e04f, 0x8d115190, 0x99eb2f9e, 0x3ecd33a7, 0x665ea43d, 0x9d2edc6c, 0x3a21a13b,
+    0x929e026b, 0x8237a85e, 0x2701ce73, 0x4ee13754, 0x0dc1c781, 0xbd29885e, 0x6d7fd4c5, 0x2208fd63,
+    0x2aee7ac0, 0x6194278a, 0x181d11a2, 0x4622e8b4, 0x1a921402, 0x716b3fd3, 0x385de907, 0x7f1d1ff4,
+    0x32843b2f, 0xe1a40a71, 0x7d2f373c, 0xfb1906cf, 0x98c242f4, 0xff07948e, 0x7350e638, 0xd9d5acdc,
+    0x6b8d72e1, 0x6ae07599, 0x785f44aa, 0x5d58a281, 0x87eb9399, 0x590d3d03, 0x743cb8b8, 0xc4115d17,
+    0x5d67f7c1, 0x34d4360c, 0x39d351bb, 0x796ab93b, 0xeb2479cd, 0x229efbfa, 0xdf3e5daa, 0x11684028,
+    0x99c28fa3, 0x3d27dafe, 0x329f2468, 0xdbd9c0a2, 0x51a09198, 0x44cfc01d, 0xe89e2e76, 0xffb0adba,
+    0xe6b658c1, 0x26c32691, 0x3a020f3e, 0xdc8dad96, 0xd65bdec9, 0xa6c5524d, 0x5d95b1e7, 0x2aed8447,
+    0xb4185e76, 0x90d5e200, 0x33ae36a9, 0x6b91c662, 0xb35e603b, 0x7d863cda, 0xed9f71a1, 0x47aed661,
+    0x7c6853f6, 0xd2ba775b, 0x2b36a016, 0xeb447057, 0x8cf454c0, 0x522d08fc, 0x8166532a, 0x4a6f90e1,
+    0x9f56075e, 0xc1a96f30, 0x6e82f90c, 0x89ca32bb, 0x95af0e4c, 0xe0b1973a, 0x2e29a5bd, 0x6cfa0794,
+    0xaec18a52, 0xda76732c, 0x55af0f38, 0xfc3d73c6, 0xab4afa35, 0xc65ad606, 0x3be3ace9, 0xe09a854c,
+    0x5dc99c83, 0xd121ab5b, 0x5725240d, 0xbeef6f1d, 0xcab416e2, 0x59baa50a, 0xa0a47a4d, 0xf234526a,
+    0x78a65ac2, 0x70e4a00d, 0x17a79137, 0xe9f2181c, 0xb1df2352, 0xdb9beac9, 0x4b1d3d26, 0x5c130de0,
+    0xa515bc76, 0x192e5c4d, 0x8d683d2a, 0xcee3f298, 0xfb8655f3, 0x6f0d154b, 0xdcc3dc4e, 0x9e6b1b0f,
+    0xd3cae513, 0xd675a230, 0x3860c40e, 0x18032074, 0x8c16dc1c, 0xf4f63725, 0xf4cf9fa7, 0xcd3336cb,
+    0x73a0bb17, 0x01e22b00, 0x0f568bf4, 0x2c9b7fcf, 0x7763230d, 0x9bba0cda, 0x0ecbcfe3, 0x1912fc4c,
+    0x229012c4, 0x9a7a62cb, 0x22031e1b, 0x36d8783e, 0xfc509c17, 0x4324e515, 0xc19172a2, 0x7cfd170e,
+    0x32487584, 0xcd56cf12, 0x22e1be91, 0xfea5076b, 0x7be91541, 0xe08f9fbb, 0xb12ee63c, 0xc43cdaff,
+    0xe83333ba, 0xcf37bbd3, 0xee92e74b, 0x7a20cdfb, 0xe6c70c85, 0x4728faf4, 0xb25a0762, 0xf9e3e003,
+    0xba59e746, 0x1d82f862, 0x1c72cf59, 0x7eb969b2, 0x04898aa3, 0x4a1a1e8f, 0x593d18dc, 0xbe9a7fca,
+    0x44c0c4f1, 0x62382484, 0x31265d71, 0xeb6b35d8, 0xfb446b60, 0x07d1b5bd, 0x051f6ef9, 0xf6c7a801,
+    0x5614be8e, 0x51535dc7, 0xfa7337b0, 0xd9c1c2ae, 0x81622fa6, 0x9cf368a2, 0x1a5480e4, 0x63592cc9,
+    0x3f0f3b4b, 0x14caa55b, 0x90a49240, 0xb4dec030, 0x2ea58cdd, 0x16fc0913, 0x1c902440, 0xe025d49a,
+    0x4b94edac, 0x1e456ee6, 0x7616c879, 0x4697b4fa, 0x1f5ace53, 0xc1046db9, 0xcf546936, 0xc830c430,
+    0x1bbdc482, 0x35ab226d, 0xc83a4765, 0x51db33a9, 0x01c1033a, 0x74a05e52, 0x85bd04ae, 0x467631fa,
+    0xa811f612, 0xd73e19af, 0x99b5a968, 0x2cf9398c, 0xa6df6222, 0x539d7ab0, 0x872a0e28, 0x074efea3,
+    0xacbb2c39, 0xaf309670, 0x971c7eba, 0x2021bc65, 0x44b993ec, 0xcd8a7fb0, 0xde8a26cc, 0x1513c78e,
+    0xd79781f5, 0x9e9fc0fe, 0x43f914cc, 0xa57deae9, 0x66746386, 0x963860ca, 0xabd5fc46, 0x72bd0fcc,
+    0x41fa13d2, 0xc58de519, 0xead922c0, 0x469df940, 0x06b61297, 0x8e9cc281, 0x36900375, 0xd02f37ab,
+    0x07fafc1d, 0x2a190c9a, 0xec857d23, 0x75c5df07, 0xb38f5f05, 0x3b8f63b1, 0x52b6ab46, 0xdeab6913,
+    0x19110c54, 0x3576353b, 0x46b602c8, 0x6bfe0539, 0x8711c255, 0xd85c4d44, 0x55c071cb, 0x542d9991,
+    0xbfd67c3c, 0xc893b701, 0x00d4400a, 0xdf845ae7, 0xd8399f60, 0x136eafde, 0x5de15d4d, 0xef394ad1,
+    0xd9afdd8c, 0x28750285, 0x1ba01d50, 0xbae28516, 0x565f3260, 0xc4b783c3, 0xe9cf1d83, 0x15c79767,
+    0xb9037697, 0xfc14b86b, 0xbbd62921, 0xc6a6f282, 0x8ef80557, 0x108677d7, 0x677144e4, 0x3344c336,
+    0x0fe64c50, 0xc1e8d4b0, 0x5737945c, 0x84c960cf, 0x6e8e36c7, 0x8214fbaa, 0x656a1e29, 0x7102ae19,
+    0x39dbebb7, 0xbc1336a4, 0x1d51a0a5, 0x27a9766f, 0x19a05e3f, 0x9d538526, 0x5bf4887c, 0xa435803b,
+    0x1363de68, 0x955c6317, 0xf8b84cf3, 0x4413cfc2, 0x93fd8b59, 0x8fb23a22, 0xb1ab36e9, 0x8ea8aa13,
+    0x86be319c, 0x8f3dde2b, 0xa33a12da, 0x7fc06e25, 0x22ff7cdc, 0xd29f2f23, 0x60ba707a, 0xac36caeb,
+    0xec1e8f99, 0x15a9e7a1, 0x8a6a33f8, 0x07fc2e98, 0xb5da4397, 0x1d153256, 0xd8d15cc9, 0xda41fdad,
+    0xbb1a8ca1, 0x7eb3a91b, 0xc7c28364, 0xd7952c96, 0xa99ca447, 0x98a65501, 0xad9b5787, 0xb2b96a1b,
+    0x20e582e2, 0x6d84998b, 0x282c1ead, 0x9b4a5b92, 0xbc52b0b7, 0x9904b14b, 0x26bb0e31, 0x7ff21b1e,
+    0x3da2e4a2, 0x3dae2632, 0x1ca279ed, 0x33300cd9, 0x0de02b11, 0xaef8c0e4, 0x1306e62e, 0xf2cc330f,
+    0x4250ce87, 0xa0d8d65e, 0x5ee3272e, 0x72f05bbc, 0xdf4f478f, 0x11a31174, 0x7f3c0220, 0x56d99e5f,
+    0x9708c62d, 0x392a6487, 0x306d9c67, 0xf621aab1, 0xa5a5fdd9, 0xe015c005, 0xc439956e, 0x1fdaf863,
+    0xc02fd808, 0x7f7aaf55, 0x4025c6e0, 0x829b1698, 0x8c34192f, 0x6955b165, 0x18d19f1d, 0x8801c684,
+    0xbe635fd2, 0xd31444e4, 0x74b568ba, 0x86bc0e37, 0x520979f3, 0xb14efdfc, 0x7012ac7a, 0xd6829be7,
+    0x508ccc7b, 0x5def1575, 0x6b10f901, 0xd0b0a170, 0x45a8bf88, 0x47b14ca9, 0x3a619f6d, 0xfc6a7d01,
+    0x7cd82ce2, 0x23f50a23, 0xdcb507e3, 0xae7e4471, 0x21bb2d4d, 0x36577f73, 0x42b223a2, 0xc08cbc7d,
+    0x46e3e7a9, 0x6bc04168, 0x7cab0c63, 0x2f084b24, 0xb9bac18e, 0xdc345c3b, 0xeb9ee9a6, 0x96ef2f09,
+    0x71f6da39, 0xc1c5ae64, 0xc6cb43a2, 0xde346f09, 0x3c72dcd2, 0xc0e06c1e, 0x693d4ca9, 0x874c1495,
+    0x0dc715b9, 0x3e693876, 0xc678c11f, 0xf1c7e7ca, 0xa1024498, 0xa9028b56, 0x7d0a2f63, 0x40e95c45,
+    0x0b4faf16, 0x3b8d94ce, 0x0d132cb6, 0x0291c766, 0xd205a98a, 0xb3301b24, 0xfade0f73, 0x52291621,
+    0x0654ecf1, 0x8f17e242, 0x4c0e85f6, 0x9233b195, 0xdb86d7b9, 0x7f5ffde1, 0x544d8d5f, 0x0a46023a,
+    0x6d4f0602, 0x41ca0d45, 0x07098e8d, 0x68ecc5ed, 0x38b3596c, 0x8e27b3ad, 0xb63c36ce, 0x20d7da3e,
+    0x1464682b, 0x597d37af, 0xd051d62e, 0xcaf82cf2, 0xa3e0fc98, 0xcfb65603, 0xd5869b48, 0x709f88e1,
+    0xf1688088, 0xbf779aef, 0xfa6ace7b, 0x98cb9302, 0x63f4ffb5, 0xb716fc98, 0x202e9b4c, 0x1ec9bf6e,
+    0x13ad2360, 0xd52d2dd2, 0x277e5802, 0x48a7e09d, 0x7df7151b, 0xe0bc3752, 0x7c876d84, 0xca9c5908,
+    0xfab12857, 0xd19f140d, 0xb67d8c9a, 0xb302722b, 0xbf75d4d1, 0xd0c3b80c, 0x6ea4856f, 0xf95ef0f6,
+    0x069b02d1, 0x2acea10f, 0x35ef0964, 0xd1732ca8, 0x755aa17d, 0xcd4cbee9, 0x51af2458, 0x4503a5bc,
+    0x16fe9527, 0x51d37ab0, 0xfa3e8860, 0xccf6f069, 0xe75c6159, 0xaab7d050, 0xf6057216, 0xddb19ff1,
+    0xed305d22, 0x0a5178fd, 0xe44c547c, 0x4a477e65, 0x6f4d9ea5, 0xc3e42a62, 0xfc0949b7, 0x031b072a,
+    0x0172fa88, 0x6a44a7da, 0x3d2ce0f6, 0x18c93331, 0x4cd2eb72, 0xa2a490f8, 0x1407f5c9, 0xbb547b57,
+    0x4c00ef0a, 0x293fcf29, 0xbed01dc2, 0xb43b055f, 0x44583f80, 0x1a637f82, 0xd4fd32ac, 0x8ec93885,
+    0xcd1f22ba, 0x225c5dd0, 0xcbd3afe6, 0x40a8f7d0, 0x165e1979, 0xac99ee6d, 0x7b072a08, 0xcc34dcf2,
+    0x57f5e60e, 0xbbcf9608, 0xd50c228c, 0xffe9e74d, 0x076d51a7, 0xa13c227a, 0x9a9f43c7, 0x7b2e4479,
+    0xffdde782, 0x9995f803, 0x288ad494, 0x0bc09af3, 0xd63c79cc, 0x36cbcf2e, 0x045d2fa7, 0xc1186c29,
+    0x99751f8e, 0xf71c94e4, 0x13b30a5f, 0x65875577, 0xa48fb8d5, 0x318e400f, 0x49abae79, 0x2a933fd1,
+    0xd73100e1, 0x751daa1e, 0x1a190984, 0x87ca2f78, 0x6c890d4a, 0x9417cd69, 0x4950d541, 0xbd99a22f,
+    0xa2c2d3c4, 0x8e716fb4, 0x47ed9c67, 0xbb71e6b2, 0xd8ae1f81, 0x711f9f79, 0x12ea5eb4, 0xef9b46d2,
+    0x3a8310ea, 0x6864f466, 0x55abd6f7, 0xa9c26705, 0x37a3ac8c, 0x57822da2, 0x1277623b, 0x3ce01276,
+    0x260812b2, 0x2d80e7c2, 0x6d6ed818, 0x44f4defc, 0x77ba8ef5, 0x8d246472, 0x47aeae27, 0x3e0a8970,
+    0x915c25f8, 0x16609993, 0x137a26d7, 0xea748d0d, 0x20c0e35f, 0xa82f87c5, 0x5b1c1180, 0xf186faa2,
+    0x913afc37, 0x967b976e, 0xe2d49d7b, 0xc2b8e410, 0xe30f82d3, 0xd2b4db39, 0x75071f7c, 0x6162c81a,
+    0x8f3e0527, 0x1cf3822f, 0x115acb26, 0xbb5e24d8, 0x6337c215, 0x4cda66b0, 0x937d3801, 0xe001f676,
+    0x87424ca7, 0x06ddb770, 0x89cb0e34, 0xd4663315, 0x657a2666, 0x6b999693, 0x80e1c09f, 0x560cc5d4,
+    0x98b6f30d, 0xe8b87282, 0xf64dea54, 0xd0959fe5, 0xfae2be4e, 0x200215a6, 0xf81f9905, 0x1e268078,
+    0xf719e8bd, 0xc18fc567, 0x63454075, 0x1e1d3613, 0xcae8f7d4, 0x68c06a5a, 0x5bc712cd, 0xb5f4f9e4,
+    0x599fd10f, 0x29ee8f4b, 0x6f9479b1, 0xdeaf131b, 0xda144664, 0xb5f33783, 0x09436685, 0x04edf937,
+    0x9092abdd, 0xe81ff470, 0x6b3fa6fc, 0x4aea3644, 0x3b16c5be, 0xb9bb320c, 0xb52323fa, 0xc4adc7a8,
+    0xa8ef3e94, 0xe6f1a713, 0x0a9535c8, 0x54ea0802, 0x03b0e2bc, 0x16774b80, 0x631fa85e, 0x87deb155,
+    0x36067c7c, 0xa3829b7d, 0x944d0ace, 0xf905cac1, 0x288f7184, 0x0c96bc4c, 0x11ce865e, 0x811eb89f,
+    0x29d1398c, 0x2164552d, 0xd6f198f0, 0x01d91cf5, 0xbfcfc7db, 0x3cf254f9, 0xb1dbe57d, 0x865613ca,
+    0xba2a0aed, 0xbe07a632, 0x5c058f17, 0x9728b52a, 0xc56ec2be, 0xcd7d144d, 0xfe85c9c4, 0x7d812720,
+    0x8ad34991, 0x0788974e, 0x5b57c3b4, 0x94b85d45, 0x52e79be8, 0x9e37b551, 0x37b5dab9, 0xf9c5d2f5,
+    0x05c55645, 0x89fa737b, 0x80a1e303, 0x5771c856, 0x15043b0f, 0xdb113b9a, 0xb62f590c, 0x515b4b6e,
+    0xfd155bc1, 0x986343aa, 0x8e462d49, 0x683590b9, 0x23336907, 0x6aa766c9, 0xc8f13e83, 0x6ccf4716,
+    0xc6c09bb7, 0xcc2488a8, 0x1202fa96, 0xc26e8633, 0x2d92e39e, 0x612ece0e, 0x67eecd52, 0xa08046cb,
+    0xa54e3250, 0xc4e758a8, 0xf1e08ae6, 0x66d9384c, 0xd3328314, 0x5a9526eb, 0xe3f2a21c, 0xa897cc4d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000001125899906842624 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d3, 0xc25e68db,
+    0x00000000,
+    0xa26a3b14, 0xf72d7efa, 0x7c728f36, 0x4de0d4e0, 0xac0bafed, 0xfe2b5d99, 0xf1612568, 0x46c37839,
+    0xac148708, 0xb0f507fa, 0x98592a7a, 0x3cb0608f, 0x9f979f94, 0xae1c6f11, 0x02e19f81, 0xe7b630d9,
+    0x877a1ef6, 0x3b0a89d5, 0x1d275ade, 0x025fbe4e, 0x5df3afbf, 0x8ec4d157, 0x9a9fad8e, 0x8792a9a9,
+    0x656b0518, 0x7508793c, 0x5a9768ce, 0x15076b82, 0xca3ff7b2, 0x0821d0b0, 0xade20fa3, 0xb388f373,
+    0x38fecf30, 0x3e1b9e24, 0x1b079860, 0x89eda4ef, 0x6790c341, 0xb9c9d70c, 0xc287af34, 0x7a0ea86d,
+    0x90dc00e0, 0x69e51d9f, 0x2fca9f71, 0x5d2cc7b6, 0xc47591df, 0xf2a837c1, 0x7a58a00a, 0x6d6b4c1b,
+    0x2923195a, 0x9f2041e9, 0xe8eded2c, 0xcd017810, 0x4e5eba25, 0xf5de8fb5, 0x7ed7ee77, 0x26c9c772,
+    0xaea9051f, 0x75e5e69e, 0x0eabb106, 0xd7fc6f0f, 0xe2e83f96, 0x6b4d8139, 0x6b117d44, 0xbcd004b9,
+    0xb9a89bda, 0x0ffd6c71, 0x26e25364, 0xb1aff981, 0x536ee9d3, 0x3fab9dae, 0xf7673b7a, 0x5fd249d6,
+    0x7bf116e1, 0x4776fd85, 0x92bb25dd, 0xe733ca8f, 0x82abbeba, 0x5543b9b8, 0x94ce26f9, 0xee1bbce3,
+    0x47122e76, 0x4ea532ca, 0xa1ab2a5b, 0x6e229786, 0x474bc5b9, 0xfedf0a79, 0x58a8e9c3, 0x189e5d65,
+    0x3f648158, 0x617df64a, 0x9564d2ae, 0xdb67f982, 0x9affcc3f, 0x0c04d2a5, 0xd26d29ea, 0xa6ce490f,
+    0x697e7878, 0x42e0f5e8, 0x2b312a18, 0xaefebf4f, 0x23cd3a19, 0x3e08d42f, 0x4cbe37f1, 0xc96e8e37,
+    0x3cc2ce08, 0xd6af0055, 0xf404f372, 0xa3527d44, 0x6ef11a00, 0xd70ad62c, 0x0f994742, 0x5a658f98,
+    0xf9a8d256, 0x78f7c06b, 0x2a9bd9eb, 0x58a7f06b, 0xc16db74e, 0x2ee88ff0, 0xda8f3c38, 0x214263c0,
+    0xd769b3b8, 0x00c9a1d2, 0xfa7e880c, 0x376382e7, 0x28ecf400, 0xba4fef22, 0xebbb937b, 0x3bf1d86f,
+    0x52635292, 0xc0346642, 0xd7e854e0, 0x728dcb8e, 0x2094e694, 0x4aaf97d2, 0x5bf6e32d, 0xfe5ac427,
+    0x016d0a5b, 0xf00f7d3c, 0xe93c9d86, 0x34cae341, 0x35dc241c, 0x794efee6, 0xe5d47648, 0x6561c52b,
+    0x964fe1f9, 0xb7c9b99a, 0x24b36135, 0xfcbb2989, 0x4cd7f4f3, 0xdae14981, 0x18289899, 0xa102f6bb,
+    0xfe3b0577, 0x65c7fc4a, 0x103a44db, 0x5b6eb4db, 0xa0c8df1a, 0xc72a741c, 0x7216e581, 0x3712da06,
+    0xac8e7d64, 0xa8a8191d, 0x4c84e5e0, 0xe1d9bc4d, 0xcc5d0b6d, 0xdef23b6b, 0x1968049c, 0x61cf0296,
+    0x2830873a, 0x0a8a37e8, 0xb53f5ac2, 0x1028d61a, 0x606df661, 0x5667fcb5, 0xdc04a51a, 0xb1a5a45c,
+    0x2a0d4f48, 0xb0176560, 0x448b2d35, 0x27c02849, 0x4443fd48, 0xf46053bb, 0xb0fe09ab, 0x588daba1,
+    0xa2a1ca64, 0x8a36e1b8, 0xd7ac6f67, 0xa7898791, 0x5e6358df, 0xfd87af6b, 0x981e99ac, 0xc86b0e5a,
+    0x56ec31af, 0x5f59a4a7, 0x5192675f, 0xa7809985, 0xcb398165, 0x15174158, 0x39dc243f, 0xecd6c9ed,
+    0x342e744f, 0x1b749af9, 0x0d682510, 0xb83b9a50, 0xe9c9e2c3, 0xd31f3109, 0x5bdcee23, 0x1a920236,
+    0x459af925, 0x35d290b9, 0xbbdee852, 0x0b14888f, 0x6d5e8472, 0x524267fd, 0xec8388d6, 0x51847137,
+    0xa9fc5252, 0x7e983e01, 0xdd70c4e3, 0x8f41952e, 0x8adfa8ef, 0xc258ec38, 0x7665cce9, 0x06563a76,
+    0x98da4ea2, 0x5849df60, 0x6ab0519b, 0xebe23708, 0x11dd5535, 0xd0399514, 0x077f2f5b, 0x804e6469,
+    0x25ccf5af, 0x04c81089, 0xeacff664, 0x4ef09f1b, 0xe97048e6, 0x73d2f949, 0xa73505e6, 0x0cfe0389,
+    0xb3d4c999, 0x1a175639, 0x17a1f9bc, 0x3bce42f4, 0xad539a0e, 0x3faa3b1d, 0x39b06200, 0x2c1600f0,
+    0x24b76cbf, 0x584b1040, 0xb6389ba2, 0x3d11609c, 0x8c9ed05f, 0xeba6e5df, 0x364383f7, 0x8b94a737,
+    0x0f9cf4d8, 0xee61032d, 0x9df611fb, 0x930e7e82, 0x9930e2a2, 0xc6041cbb, 0x472e6749, 0xe511f63b,
+    0x9d4a1ede, 0x15dca368, 0xb39af4cc, 0x6f0a7436, 0xce2f4dd0, 0x8185555d, 0x6800165a, 0x44fa787f,
+    0x7c86331e, 0xaf576c31, 0x006cd5c1, 0xcd9ab439, 0x9919ff5c, 0x547dc003, 0x7251daa2, 0xb7992c68,
+    0xba9d17d2, 0x1898d572, 0x3abc0a8e, 0xebd8f1b3, 0x8dfba5aa, 0x07096672, 0x59d69911, 0x4557d01b,
+    0x098e1a24, 0x75ae1c3f, 0x8ba15c9e, 0x62d34008, 0x9dfa2269, 0xb3475e4c, 0xe58f2a7c, 0xef1751d6,
+    0xb1514e00, 0x2d0e7244, 0x795050a1, 0x4df5731e, 0xacddc469, 0x1cb145cb, 0x63fb81b0, 0x73af247f,
+    0x99d9ced0, 0x179fb472, 0x2816bd6f, 0x912cfcb2, 0xb58ae21d, 0x18c29803, 0xd5ac44de, 0xea72ba08,
+    0x7097fd87, 0x1dd92988, 0x6facef12, 0xb723a063, 0x122dc2c3, 0xb9cdb385, 0xf0b24554, 0x699314c8,
+    0xa052cd8c, 0x45d74c9c, 0x3a389e2d, 0x1ae08c3e, 0x7f83e4e4, 0x719471c4, 0xec1c21cf, 0x90d23212,
+    0x2ea928f1, 0xa07378b7, 0xa75f7c51, 0x8b8f4535, 0x75a9d390, 0x0973747e, 0x184a4a0a, 0x2aef114f,
+    0x6e1f80c8, 0x72f9a9f8, 0x2bd1ea30, 0x27b3c2ed, 0x747ae1e9, 0x1a6cde96, 0xd1ecc4bf, 0xbb07942a,
+    0x044211dd, 0x0a037cdd, 0x956f85b2, 0x0efa972a, 0xb75e1412, 0x0d935402, 0xf19ee2d3, 0xafb5261f,
+    0x7fb93be1, 0x5cfd8fcf, 0x23c703ee, 0xa0da3c02, 0x71ba735d, 0x41065852, 0xec7dc88a, 0x3c2ad030,
+    0x5aea9ae1, 0xd2a4e6c8, 0x0262d75b, 0xd2bc93b8, 0xc59412ac, 0xa378763c, 0x92a2317c, 0x0ba898bb,
+    0x288be068, 0x05be6912, 0x858a4e36, 0xeb727fc0, 0x176b4acc, 0x65424284, 0x8798ba91, 0x72ce7699,
+    0x5f5a6123, 0x13b35b7f, 0x929d3889, 0x7df6fa46, 0x816e6c7a, 0xf2f895e6, 0xd033f29d, 0xcfedff4c,
+    0x961e6f14, 0x08cbccda, 0x4f055809, 0x46644417, 0x2541ac21, 0xcb57fc3f, 0xeb4c9b73, 0xdcddb638,
+    0x11eaea97, 0x053cca19, 0xa99d6bc6, 0x6a69723f, 0x14c45969, 0x29fc7a7d, 0x7bd92624, 0x5caa1e89,
+    0x9255e480, 0xfff5aeb1, 0x721ac753, 0x2361455b, 0xb588a13b, 0x99824d53, 0x2487878d, 0xfc271eeb,
+    0x002c37fd, 0x94969527, 0xdb89095d, 0x7fa155ba, 0x24582381, 0xd45e2fda, 0x37add8b4, 0xf6b34c33,
+    0x41298282, 0x11b09a5a, 0xad7e6dda, 0x45874138, 0x757dd734, 0x43b0a1d3, 0xc4d65ed5, 0x752e9427,
+    0xc1f8cf14, 0xe4dfc4ac, 0xba569d33, 0xab73660d, 0x37e4f708, 0x691991a7, 0x37955093, 0xd9b8152f,
+    0x119f5380, 0xf0679fb2, 0x53f39305, 0x2860e918, 0x49ec28a3, 0x2ce4150d, 0x51f35625, 0xe537545f,
+    0x68dcf9e3, 0x6914224f, 0x0bc05e98, 0x95b4f72f, 0xbece2b70, 0x11e25937, 0x3300b0c3, 0x49163084,
+    0xaf57ebda, 0xac992cf7, 0xdf47e859, 0x9c891c1c, 0xf28bc4e0, 0x4887392e, 0x8e627cb9, 0x17472a1e,
+    0x57d34771, 0x3cfbe55b, 0x161c7fac, 0xd69652ec, 0xbe8b9dd4, 0xb27cabf4, 0x39c64955, 0xfe67d2d6,
+    0x376af9c0, 0xcf7f8594, 0x6f737a74, 0xa5bf27fc, 0x759a4d4d, 0x00bf1086, 0xae2a5903, 0xde03bf9a,
+    0x4018a9ef, 0xc11df0c0, 0x4a9439f4, 0xa1653537, 0xb556e923, 0xbb0dc66f, 0x2b9d2e34, 0xbfa4f9b1,
+    0x0a98223f, 0x374f2a87, 0x5eae9e05, 0x3ff3514d, 0x4abef52e, 0x57dd5f76, 0x54121b95, 0xd71f6aca,
+    0x78b17fa5, 0x773ee10e, 0xe79543c6, 0xc326d8e1, 0x4f83e096, 0x1e4a667e, 0xc5ed8269, 0x01d5ec1f,
+    0x902753a9, 0x88acf48b, 0xbac8fe76, 0x32fda7cd, 0xe553d4dd, 0x30f134e4, 0x6875a46f, 0x6662193c,
+    0x1f25ce05, 0x6fcea5a6, 0x331db7a1, 0x93411502, 0x3edf2ab1, 0x46f5ddb2, 0xddc24c95, 0x716b8efd,
+    0x400c35d3, 0x2216346f, 0xa4a0a738, 0x87336a43, 0x49f2c3ae, 0x1edd8086, 0x3936ef8c, 0xd87610fa,
+    0xb6dbcdcb, 0xc4ee74d0, 0x92b59a22, 0x7e229fad, 0x711263ad, 0xab13b274, 0x151c4c5a, 0x7475e643,
+    0x7f503a51, 0x59b2f704, 0x878b0c57, 0xe4e65515, 0xa0672113, 0x2558dcfc, 0x8f091b83, 0x03929b64,
+    0xec4720ea, 0xef8494ff, 0x1ca24710, 0xbf3540d7, 0xa0271f2f, 0xf6796bad, 0xd77ffc6a, 0xf5464b52,
+    0x4ab6e090, 0xc8aec1a4, 0xcf5556e6, 0x1c125287, 0xca88528f, 0xe433c176, 0x97019f03, 0x4bbc6420,
+    0x43120e87, 0xe2d91853, 0xc839682c, 0x37bf74de, 0x708abc5b, 0x4c9575bc, 0x6b4ca05f, 0xd94255da,
+    0xed70d529, 0xbacb4b4e, 0x34d616e6, 0x0e2bd05b, 0xcbb6b2d3, 0x07bae202, 0x76234713, 0x6df33ef5,
+    0xca539036, 0x3100db3d, 0x9e66e0c2, 0x608b07e8, 0x7b5abece, 0xce817b23, 0xf1fbf60c, 0x667b7c7a,
+    0x6c90c1f7, 0x13655746, 0xec96fd6d, 0x4b93df84, 0x571895b2, 0xb5e2bbae, 0x167acbe9, 0xddd993e6,
+    0x76b5c151, 0x9acfc98b, 0xdbab3345, 0x1687cb0c, 0x08b5460e, 0x0fad8dda, 0xfc6093c5, 0xea83c697,
+    0x050bc473, 0x5b3ed4ce, 0x047f05f6, 0x38853b1a, 0x5a3b848f, 0x14f1ef16, 0xd11e505d, 0xefd16260,
+    0x859c5b87, 0xb1f1460a, 0xe5df1b9b, 0x37970e83, 0x875e522d, 0xb68756a3, 0xe82d9432, 0xbbe59f5b,
+    0x756699ea, 0x66ae2bbf, 0x24679278, 0x2e8326e0, 0xb2cb41fe, 0xc360a337, 0xfd90b3c7, 0xe209b9a9,
+    0x3a1221cf, 0xf809c147, 0xd7775d87, 0xbf4a1c21, 0x258fd1fb, 0xe4aaee87, 0xf52fb925, 0x76842c12,
+    0xd2d5e418, 0x160b0772, 0x49fa191d, 0xc31733ee, 0xb4f1f60c, 0x0259bef3, 0x26695940, 0xe35e23dd,
+    0xfe66c675, 0x3138c77f, 0x2ac78da6, 0x82e5cba6, 0x15334107, 0x467d5796, 0xbe5a8400, 0x4b36a606,
+    0xe4488236, 0x79a0167a, 0x9286f387, 0xd4e081e9, 0x79866f65, 0x960bca99, 0x7ca40030, 0x1bf49a63,
+    0x56fb6193, 0x77a28b44, 0xb7d28597, 0x7ffa554c, 0xbe8b08f5, 0x6d0bf94e, 0x3648f0f1, 0xcc95af03,
+    0x631250b4, 0x2c64624e, 0x1ac23524, 0x85e02282, 0x46458d02, 0x2c67bcaa, 0xec207701, 0x715aeb9d,
+    0x0eeb24ff, 0x250ce96d, 0x4f0808a7, 0x7a4ef00e, 0x0917c61e, 0xfaa243d6, 0x7d6bad78, 0xa960e454,
+    0x7dea85e7, 0xa6d705bb, 0x96064fdf, 0xafbe59e1, 0x36f047e9, 0x3235f693, 0xbd9908ec, 0x17e5a7c3,
+    0xbbd91f23, 0x4373abc1, 0xfe319a8d, 0x2236e6ec, 0xe51b0358, 0xb781e7c4, 0xcafed1df, 0xbac8fb0f,
+    0x3f8c1887, 0x46e91375, 0x2ac4b0c9, 0x833e6f7a, 0x447e56cc, 0x86158127, 0x2232a7d7, 0x7c9ac480,
+    0xbd18caa0, 0xbaebd3fe, 0xc1c84575, 0x5ea536cf, 0xe4e8ec62, 0x97ecf28f, 0x3951c7ef, 0x4d6cb57e,
+    0xbf5547df, 0x32314f2d, 0xd545800a, 0x5ad12041, 0xbd7fcfe3, 0x2173d103, 0xe31ff1d4, 0x5389b58e,
+    0x54af8b58, 0x38ba616f, 0x0979a068, 0x9256faf6, 0xa4795059, 0xde2b08ca, 0x91de25d1, 0xb5164ddd,
+    0xf7e6f787, 0xd043a757, 0x79fe8690, 0x8b9fb419, 0x2fd0d2f1, 0x99c7ec80, 0xd73a7c36, 0x6376f480,
+    0xc526e6cb, 0xa51e7cb1, 0xab6197d6, 0xa941c8b0, 0x1d4b6b2b, 0x7f099bea, 0x14be7afb, 0x8807746d,
+    0x81c85e59, 0xa45962ce, 0xb164d4a7, 0x9db2e654, 0xc959504a, 0x751c33f2, 0xabfd6932, 0x07370304,
+    0xe86f472a, 0x187aae56, 0xdaec040c, 0x4850ac4a, 0x6329124e, 0xef9c44c0, 0x32a63fbb, 0x0b653cd5,
+    0x2b7d20b5, 0xe98a8bee, 0xc967b686, 0x08f1f479, 0xb4af2df1, 0x3a889f05, 0xac898a94, 0xa62a0756,
+    0x32cca2c5, 0x8c774ed0, 0x41ace31d, 0x44748a39, 0x26ce770c, 0x843f1cd9, 0x1758df91, 0x48bb3a88,
+    0x0e82552c, 0x4fae63ea, 0x033350c4, 0xca605cf5, 0xb8d933a4, 0xa62726d1, 0x7ff110b2, 0xa9b20a66,
+    0xcbcdf526, 0xdba54f35, 0x0d321b5f, 0xc5bb4024, 0x76a18576, 0x66ffbc28, 0xd7c6bb2e, 0x262d405b,
+    0xd499f8a3, 0x6f18ad33, 0xc309e3e7, 0xd9157bff, 0xde41f8fb, 0xb42e38a1, 0x51f5f427, 0x8437a6eb,
+    0x61a98f39, 0x57c16026, 0x7a76e40d, 0xe79900c7, 0xd5ebe093, 0x6c795159, 0x623266ba, 0xcae54db8,
+    0x83629390, 0x1527e1df, 0xe515e498, 0x82ea3a89, 0xa2c0cfe3, 0x9e9671d9, 0x10649860, 0x3f8791e6,
+    0x608db48d, 0x1593c125, 0x66dcc894, 0x1ff8c71a, 0xaeaa74b6, 0x9b61eaf5, 0xf6f2f72d, 0xd81a1b5a,
+    0x6613e83b, 0x367117c4, 0x7adbdfc3, 0xcd202a12, 0x18bec4eb, 0x5f348c50, 0x730f0224, 0x30a6620a,
+    0x671aa746, 0x68f5f791, 0xbd1366b6, 0xbe6307a4, 0xbaa94909, 0x10112301, 0xf3344902, 0xa20630e7,
+    0xa67cf80b, 0xb1bce72e, 0xff0c883a, 0xd8aa46b8, 0x798f0fd0, 0x2687b166, 0x5fc3a030, 0xa65b11f7,
+    0x523e07ec, 0xedf1e867, 0x268f5199, 0x94239c55, 0xc62ebc71, 0x1147640d, 0x55cbcd03, 0x1dacf27b,
+    0xa7faa884, 0x4e29cd3e, 0x5f95124a, 0x338e97b4, 0xcbf35f29, 0x1b783e73, 0xa28ac6b1, 0xd88ffbe3,
+    0x4639ca71, 0x6fe40ac3, 0x59123ff0, 0x9d063143, 0x97751081, 0x90d883fc, 0x96f419a4, 0xb2efc080,
+    0xc3bf0736, 0x01f54393, 0x72331cfc, 0x5e355531, 0x734a28e7, 0xb473d74d, 0xc8812ab2, 0x46a2d796,
+    0xbc7e655b, 0xf790d79e, 0xd33d617b, 0x329228ce, 0x75560161, 0x817e5973, 0x53ed9cb1, 0xfea8c28b,
+    0xed65ee33, 0x8b1eba9e, 0x6a1b616b, 0x2ce3336e, 0xf858204a, 0xbaa16910, 0x6cfa67b9, 0xf302fd2b,
+    0x76188774, 0xad18c529, 0xa02c16ba, 0xebbe1a53, 0x60c914d3, 0x57cfeb55, 0x306d3ff0, 0x5338b752,
+    0xaabf706b, 0xf04c706f, 0xbd68f808, 0xadf48676, 0xac1e4c10, 0x3d4cd69d, 0x72c75d42, 0x3aa87fb2,
+    0xd7d8fa3d, 0xff0c0c8a, 0xbbb030da, 0xaa0b07ae, 0xef3f3827, 0x4aa8e33f, 0x889373a1, 0xabd9c573,
+    0x0db58203, 0xe36b1a88, 0x073621c7, 0xaf5f4234, 0xbc8ec94b, 0x7df235f8, 0x191cdf54, 0x72aa2610,
+    0x61f65ed6, 0xfeb5f502, 0xfcd73998, 0xfb1bd171, 0x2bb52b46, 0x4ef133ec, 0x86ad5c79, 0x209ee40e,
+    0x71807a05, 0x82cb96e5, 0xdd4125f8, 0x8a484925, 0xa4558dcc, 0x4037b411, 0x149257b0, 0xb4879ab6,
+    0x4bf384a6, 0xaf34b97f, 0x70d55105, 0xbd77c5c8, 0xdf91e4fb, 0xb9814a81, 0x34eafc8d, 0xad590955,
+    0xded0120c, 0xb88d9a8c, 0x3b5e2ec8, 0xc0f1fea7, 0xca2a923a, 0x6ff5d4e7, 0xc8276a45, 0x1d9b95a9,
+    0xd55056d3, 0xa785e280, 0x6f3bc5ef, 0x5637ce0d, 0x9523e20a, 0xbdaccb14, 0xf7f43ab6, 0xf48dd41c,
+    0xff847ea2, 0x26967c05, 0x5f1f7d19, 0x7a164599, 0x2f76e2c5, 0x0a11392c, 0x0abacf12, 0x8cdcf02c,
+    0xe9c51c70, 0x8ab7af88, 0xa761de40, 0xb1dcc457, 0x15b4a11c, 0x21756d2e, 0xe42b6e6e, 0x8ab9d473,
+    0x4ef3d449, 0xefc27d2a, 0x7714888b, 0x1ff78081, 0x19fa38b4, 0x2365c414, 0x43b9b5a4, 0xc8dc54ec,
+    0xc9d95106, 0x14896839, 0x519b4f91, 0xcf8f51c2, 0x0dcdc908, 0xdf553266, 0x8e8ad200, 0x8886b817,
+    0x79abade3, 0xe53623e7, 0xee92286a, 0xcb2fbd20, 0xafba791a, 0x3c61d0bc, 0x88c5b290, 0x64f0614e,
+    0x80a7274c, 0xd904ad27, 0x4a7c748e, 0xc766f793, 0x4b37cae8, 0xb2586a41, 0x8ff8945c, 0xa0d54615,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000562949953421312 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035269, 0xe12f346d,
+    0x00000000,
+    0x902f2ef9, 0x1158d20f, 0x80f60c7a, 0xc79ff197, 0xe64cc419, 0x633a0307, 0xcdcfd506, 0xf2d97350,
+    0xa5494acd, 0x4fea6e0e, 0x424d0d88, 0x1b5b537f, 0x2e6bb24a, 0x08e86481, 0x4b56ac7f, 0xb34f9e57,
+    0x7f9173a5, 0xe1a05be7, 0xbf5258d8, 0x3e0101ab, 0xf5cdc6d5, 0xd60e6597, 0x34bff537, 0x30361a40,
+    0x8bdd612b, 0xa12a54cb, 0x128a7faa, 0x2ce7c205, 0x42546796, 0x5c54834a, 0x8c7ae07b, 0xe2487fca,
+    0x947ac6c9, 0xae0a6e83, 0xc86f53bd, 0x9a615a12, 0x095b72b2, 0xde25e205, 0x9b79ee5a, 0x267af097,
+    0x492f30f5, 0x9d87669f, 0x291477f8, 0x5fb99a81, 0x70d9f135, 0x432e6b1f, 0xd3b72d55, 0xf21720c7,
+    0x5f72b321, 0x63347c48, 0xa6d910e2, 0x1be9ce5e, 0xd9657ab1, 0xd1dc376b, 0xfd8c5c9e, 0x27955da8,
+    0x1c452c79, 0x91441467, 0x82814f2a, 0xca8bda69, 0xbbbbfbe6, 0x29ab16f9, 0x688c3e2f, 0x3fd799f9,
+    0x413bd717, 0xd231195b, 0x4ab09622, 0xd1888992, 0xfbbf3545, 0x3b4f053e, 0x95a1f9d9, 0x6f0fecaa,
+    0x754b0e67, 0x8dd98a0f, 0x2576a66d, 0xd0461364, 0xe8fa0897, 0xd3826db1, 0x459d126a, 0xa3a54c31,
+    0xb2a47191, 0x26304a23, 0xb3292454, 0x5f95f3dc, 0xf5ed1985, 0x8a4e9909, 0x53f9fb1d, 0x737ffd32,
+    0xd7369b4f, 0xa612f8f6, 0xa65b2902, 0x52cf69ff, 0xb784dece, 0x09535fed, 0x46311533, 0x66dd12f8,
+    0x0f4abcec, 0x25f0fc1a, 0x08f5552a, 0x57985a5a, 0xe4c598bd, 0x07734d3e, 0xac325dbf, 0xac4af8ec,
+    0x9f365a8c, 0x62e59eca, 0x35fbfd4f, 0x84ab7d52, 0x806f8453, 0xc7249cbf, 0xc5369af0, 0x211210f0,
+    0xc2e5a0c1, 0xf86397bf, 0xbe83b30d, 0xd495f6dd, 0x702a517f, 0xb3e88804, 0xe1e5c7a1, 0x34abf645,
+    0x1182248c, 0xfa7917cc, 0x6697153a, 0xf0b12541, 0x57957667, 0x174ba814, 0xe2095395, 0xc6417258,
+    0x6b01c13d, 0x1849d4b5, 0xf17eb62e, 0xf0d11aa9, 0x517c1c82, 0x76127add, 0x72ccb353, 0x3f78a368,
+    0xf5ba5bd2, 0x73a57873, 0x33ba8ad5, 0x99c4ae26, 0x2fd31c8d, 0x0e41b51c, 0x478a4221, 0x667e4e2e,
+    0x6dd1e45c, 0x051d7fd5, 0xb17417ad, 0x7183da04, 0x1d6f04e6, 0xc903f55b, 0x3c0f3423, 0xa4432634,
+    0xaa6a13b2, 0x58e94832, 0x7a451a9a, 0x043b0d2e, 0x087c89be, 0x7e263263, 0x3b3ca4ba, 0xa0fc607c,
+    0x3cdad924, 0x68f62c38, 0x143fdf6d, 0xea41816e, 0x95440e3b, 0xfeb3f532, 0xb332a37b, 0x91abfa35,
+    0x6d1e786e, 0xa9007318, 0xb64d6d2e, 0x9747e510, 0x88e5ef8d, 0xf131a431, 0xb1f68dd1, 0x8dee5086,
+    0x69e95fea, 0x585499fe, 0x1d7ad604, 0x8ec2c02e, 0x087df985, 0x104bec3a, 0xe2ddb3b9, 0x6014fa8f,
+    0x9f24a22a, 0xdccbb489, 0xeed234b6, 0x73c15be3, 0xad493f08, 0x400ae703, 0x41310370, 0x05494503,
+    0xe322e59b, 0xc4884615, 0x66063c9f, 0x8b32d09b, 0xc7285fa5, 0xd2a9f09c, 0x5903afdf, 0xf7b6594f,
+    0xbc269203, 0xb74b7278, 0xdd5901d4, 0x9a67d938, 0x0ee57aff, 0x563e3350, 0x654867fb, 0x8a46ad4a,
+    0x6c84744f, 0xe6ece617, 0xbb16f2ab, 0xf5d8e4d3, 0xccb8cfc8, 0x7afd932a, 0x4ab79c86, 0xf4d015d2,
+    0xd5821aee, 0xb2aee43c, 0x4c70c366, 0xe3e20951, 0x98ca9dce, 0x6fa64248, 0xdf2a6231, 0xcbb35363,
+    0xcb5078c6, 0x21868624, 0x62cef257, 0x56df7b2b, 0x35de883c, 0x32777556, 0x38592514, 0xc307e274,
+    0xf9c65894, 0xb4624667, 0xd5585440, 0xfe8667bb, 0x05f74094, 0x636ba541, 0xfba97469, 0xa245408a,
+    0x835a2a41, 0x181dd594, 0x823562e7, 0x89c39442, 0x4216cea7, 0x74dc4a66, 0x778768fe, 0x506dfe39,
+    0x32d889c1, 0x8673b3df, 0x19d85409, 0x459b7dab, 0x98ebaacf, 0x57f3bd6b, 0xdd63343d, 0xd1cfbad1,
+    0x21a24a18, 0x7bb368ea, 0x8ac9e2c9, 0x973d3e1e, 0x09b0d9ec, 0x7f987fd5, 0x690339e8, 0xdb8cb809,
+    0xabe30370, 0x874510e8, 0xcf6f8323, 0x1b8a034b, 0x64a1d7dd, 0x56764cf0, 0xa094e043, 0x475a0b4d,
+    0xc4fd9220, 0x3930ca8e, 0x3831f301, 0xe1a9866c, 0xb949ce30, 0x14d11049, 0xd5120f1c, 0x31ab544f,
+    0x9131475f, 0xa36b5822, 0x1abb2d6e, 0x63279851, 0x393a21f5, 0x9209239e, 0xea26a221, 0x184c7ad7,
+    0x6bc0fff4, 0x39da9582, 0xb82bfb53, 0xf1728944, 0x26f1595e, 0x5c37c42a, 0xc751e9aa, 0x800c82c0,
+    0x5b1d7b3d, 0xe7a78111, 0xecd40369, 0x4f72015e, 0x8e8f41ba, 0x109f4a41, 0x8eba00dc, 0xfe06b5ad,
+    0xe0168a64, 0x221f20dc, 0xa6741cf9, 0x62cce30c, 0x12f4fbeb, 0xfb5c161d, 0x1bd8c8de, 0xfcb31e84,
+    0x6069ae39, 0x7bb29d73, 0x59999054, 0xe0fe42c8, 0x2f99a2e4, 0x462460ba, 0x04ac5416, 0xa911b1da,
+    0x39671a3e, 0x14599841, 0xd73850fd, 0xceeec8c1, 0x3913ad91, 0x51ae7dc3, 0x85b567a2, 0x2f212df0,
+    0x945014ac, 0xbc247e15, 0xfae2bc70, 0x32574908, 0x13f32ef7, 0x8659ca5e, 0x45de25a1, 0x81a723ef,
+    0x4994e37e, 0x56675415, 0x6cfcd576, 0xd64f4509, 0xe6f49f8b, 0x064d05f1, 0x632bfa7f, 0x9f6efc4e,
+    0x40b7a053, 0xbe89d9dd, 0xd1f614f8, 0xfc65f261, 0x3d0b574b, 0x37815215, 0x8e0a047c, 0x8978be0a,
+    0xc21c555d, 0xc96278f4, 0x16635887, 0x1a5ec2ba, 0xfb9831dc, 0x604b7f3e, 0x3f8658b1, 0xbfb30aea,
+    0xfe4bb403, 0xc6b2305b, 0x8a67be01, 0xc19aa8ea, 0x99d875cc, 0x94fbc057, 0x592494b5, 0xbe501c91,
+    0xeb7be9dc, 0x59078119, 0x4daf08a9, 0x92736681, 0x1bf9d480, 0x1e7f839d, 0x8e347e85, 0x538b345d,
+    0xa3819856, 0xd9fbce91, 0xfd6c3a06, 0xe5c38411, 0x4b895369, 0xf603e5a4, 0xc20acc80, 0xd505bc06,
+    0x860fcb0c, 0x344d4d1d, 0xcab974e1, 0xfb23695d, 0xdab7f418, 0xf46bde05, 0xb7c10ab6, 0x99fd7c06,
+    0x28a71afd, 0xad2bdd43, 0x8843dad4, 0xa33eb2a6, 0x8f2a08ee, 0x11ad92cb, 0xb72e5e03, 0x0b597da6,
+    0x99abcbf5, 0x63975f98, 0x5dc12b5e, 0x6e3749b2, 0x7312cf2d, 0x7ea67dcf, 0xdf5ed61d, 0x52595b57,
+    0xd6093fb4, 0xba3c795d, 0x1edceade, 0x776253d1, 0xd81e3e71, 0x1cbf9b62, 0x94d96965, 0x567e7eb2,
+    0x5a334eb3, 0xe36d0ef2, 0xc47d25d6, 0x99d3d8fe, 0x0c9e5173, 0x0f652610, 0x4f253efe, 0xce170d08,
+    0x6b278ef5, 0x1aeab75d, 0xe2fa1b6c, 0xcd1ccefa, 0x8d0d94a9, 0x6cac67d3, 0xf51dd526, 0xf94b50ab,
+    0x0c9cc415, 0xe2f3dfba, 0xff3fb50d, 0xf1b81459, 0xe8b26cad, 0x4c54be8b, 0xf889c23b, 0x527e0418,
+    0x0594e3fb, 0x16e915f4, 0x620ae3f7, 0xfd1c6b35, 0xad71a482, 0xa16f33cb, 0x61c4db7e, 0x3b2d4879,
+    0x447fd37a, 0xa59bb2a0, 0x1932423a, 0xdb8ba031, 0x22565a23, 0x2b17e84a, 0x5a91aa4c, 0xbfc8536a,
+    0xb3d9b7cc, 0xda1db2ca, 0x48f6e612, 0x73e21cd6, 0x3f7f8b41, 0xeda17150, 0x62c2c6f7, 0x9cc9f342,
+    0x5baac36f, 0x72666187, 0x425415f5, 0xaa334ba4, 0xd3bc0950, 0x6f7bb2f4, 0xf0f5890d, 0x9a0f3bf0,
+    0x0c7265bb, 0xbdb53186, 0xae26164d, 0xeaf659b7, 0xfefe1723, 0x31160953, 0x47702a7f, 0xca6fbf76,
+    0xd71bdb00, 0xce4757b4, 0x7fa2c3c5, 0x528d700f, 0x2e841f9f, 0x88c7a05e, 0x2cef62c4, 0xd7e4a29d,
+    0x4705fc85, 0xfa26314e, 0x13cff743, 0x3621d97a, 0x462b9a0d, 0x55a33c7d, 0xc46ad4be, 0xb847c23d,
+    0xba90c138, 0x18c0b01f, 0x68c8b847, 0x7142aac4, 0x241dbea3, 0x5826aa83, 0x82b5051e, 0x844d7511,
+    0x47dc528d, 0xcbc9d7f0, 0x1e151930, 0x3b6caaee, 0x4ebdd689, 0xff83e713, 0x078e8c19, 0xc6417f4f,
+    0xb81d4f4c, 0x679496af, 0xf0167689, 0x9255bbef, 0x6c3ab3b3, 0xf57883a9, 0xf59aace9, 0x440c791b,
+    0xb3ef2ab4, 0x77cd7ba5, 0xcab612e8, 0x279b4c82, 0x70925f2e, 0x51ec212f, 0xf69d2541, 0xb41f280f,
+    0xb077802b, 0x5f9501f1, 0xd1198e33, 0xb2c76509, 0x3dcca3a8, 0xee0cf0e0, 0x76fdd369, 0x9d481fba,
+    0x9204aee7, 0x03ddb8dd, 0xc846c8fe, 0xbd81d554, 0xa64419ae, 0x63d84bbe, 0x87eaaa21, 0xbb49ae93,
+    0xacc57131, 0x67ceceed, 0xbfb769f4, 0x0164e1ef, 0xd827bd51, 0x4208b45b, 0xc4318af1, 0x5fd643f9,
+    0x7818813e, 0xe6482fc7, 0x39905e85, 0x2e56ead3, 0x1e6a3d3d, 0x54f12200, 0x6633de36, 0xc972e77f,
+    0xb8b2f8b6, 0x05f2e36d, 0x21a7c297, 0xc93768de, 0x0edc260c, 0x99d5a95b, 0x36fc08c2, 0x959f1342,
+    0x4e585ffd, 0xf573dedf, 0x24fda58e, 0x26953ce9, 0xdecaa1cc, 0x4a350fca, 0xfbc353f7, 0x5a064237,
+    0x86701ba4, 0x5ff1445b, 0xfb397f81, 0x0dc27648, 0xc8465cc2, 0xde2eb67d, 0xc2c2ce88, 0x2c53d39b,
+    0x0f2fc0fb, 0xad91df8a, 0xc3196cf6, 0x1bb883f6, 0x14d81869, 0x927d2e66, 0x68f268ab, 0xa9bbd91b,
+    0x85a53624, 0x7167e26a, 0x0ba0a214, 0xc1d0984f, 0xb76e861c, 0xbd4775e2, 0x3f53a94d, 0x03a02ead,
+    0xcbf91bcd, 0xf3a8d3c9, 0xf1a0d587, 0xd022ce14, 0x4fcdceba, 0xf4945f8c, 0xf0263b32, 0x4bef821c,
+    0x840ca10f, 0x4f37f6c9, 0x32887a0e, 0xfb5427aa, 0x4b30a2b8, 0x569ba1b9, 0x81e05301, 0x79ce2c0a,
+    0x33d96cd9, 0x5b90ff1e, 0x1503b892, 0x0d957a4b, 0x5b94b67a, 0x6a9662c1, 0x5bcc17e3, 0x0b0716f6,
+    0x9ee5321a, 0xf1aefc81, 0xf1a815d1, 0x4fc2a04d, 0xd4fd8efe, 0x5f361b59, 0x2f7a91b6, 0xdf2844e0,
+    0x15acc8b2, 0x9f5f5909, 0x42bc6551, 0xc85059b7, 0x0ea76974, 0xad9bf988, 0xa2473d5f, 0x72f28d31,
+    0x726d902f, 0xa702f23b, 0xfa7a3095, 0x9cd1159f, 0xddeaf27b, 0x8e9dd5c9, 0x9dba58e5, 0x9d43df50,
+    0x14f2b361, 0x9e5de750, 0x2eeb696a, 0xe65b9e88, 0x111fff32, 0x5bd1b8cb, 0xa1b30dc5, 0x79b34ca3,
+    0x8baf4f51, 0xf9924094, 0x45ba01a9, 0x01832f2c, 0x8550c78e, 0x07699c5d, 0xc22065c1, 0x9f017d3a,
+    0xfed6992a, 0x8767921e, 0x90ac1700, 0x6e226f71, 0x9c64f3bc, 0x7c3864a3, 0x7d86f7e7, 0xf3cb1385,
+    0xab493a58, 0x94291dee, 0x767473a0, 0xa23c0574, 0x4dac8536, 0x293c3e48, 0x2f0bd781, 0x916117ee,
+    0x1e91dbb2, 0x859193cb, 0x07448c14, 0xaa3d83ce, 0xa04454d1, 0x62a59abf, 0x2612f4de, 0xc6f75940,
+    0xa07ce8c8, 0x9224af6a, 0x2c378942, 0xf22bef6b, 0x7e18b85a, 0xb91de7da, 0xce1807e1, 0xad64bad9,
+    0xf1f2ea25, 0xcf7f8c77, 0x9cd45d82, 0x2eb3de9b, 0x4a2cde51, 0x189e7cfe, 0x375f490a, 0x1f8914b9,
+    0xad5c2f4d, 0x73dc7126, 0x5fa5f710, 0x5166d4ed, 0xe63d9314, 0xa6effb9d, 0xca79a8e5, 0x02eed9fe,
+    0x67185b24, 0xecebda33, 0xf8168717, 0x00b6b1c5, 0x7aa0f10f, 0x01d9bee6, 0x2ded52ef, 0xb8736b2e,
+    0x2af4dcec, 0xd25e7c52, 0x2dcaad8b, 0x9243b76d, 0x28752cdb, 0x2d2ddc32, 0x31baf406, 0xf455d16a,
+    0x60bc20a7, 0xf866c844, 0xdf718a02, 0x00bb1f19, 0x33245b50, 0x06c246ae, 0x58fca556, 0x60e95aaa,
+    0x1f88b4ca, 0xfd80245d, 0xe4453dae, 0xd918dd3e, 0x4b487bce, 0x821a2b8d, 0x7372e976, 0x32ce05b8,
+    0x4baaac2d, 0x85ac389a, 0x3f48dd93, 0x710a0d3e, 0xdb6cbd09, 0xbe2afaf4, 0xf8e86b92, 0x050c876f,
+    0xc08a379c, 0x759f0fd0, 0x592d93ed, 0xb8475dd9, 0x9f7747fb, 0x8d60249f, 0xa7cf5ba7, 0x8fca524c,
+    0x66194b1e, 0xa9191ffd, 0x7bd4b61d, 0x91373601, 0xc2eb8a98, 0xf48d0533, 0xc43713af, 0x37828ec4,
+    0xc3a9ff19, 0xdb680cb0, 0xff20c449, 0x2bcc2bfb, 0x520ab3eb, 0x8ba40799, 0x9ace9b8d, 0xf58fa091,
+    0x79f2d305, 0xa00a50c4, 0x8fa762ac, 0x5fc73d9a, 0x9a541885, 0x1831e3f5, 0x56c305f5, 0x275a7274,
+    0x6180cb38, 0x19f4c13d, 0xfcca3a78, 0x9cc3d202, 0x6167e022, 0xe2480306, 0xb73c7e7b, 0x062de567,
+    0x581dd125, 0x8a0703b5, 0x161f17a8, 0xbff7df76, 0xaffd78e9, 0x59ed613e, 0x7d51bbb4, 0xb352c5d0,
+    0x003d9566, 0x2df47ec2, 0x82f718e2, 0x89da690f, 0x20906078, 0x48ce949a, 0x6fa6dd1b, 0x325586da,
+    0x27298a00, 0x5e410627, 0xc4d913e9, 0x5a634a1f, 0x6c4b1bff, 0xcd4acec8, 0xda3226ac, 0x8d592066,
+    0x2c190e9b, 0x3100704c, 0x98e00fdf, 0xb67f65b4, 0x218b3fe9, 0xd61b1543, 0xbe217cb5, 0x15d45d8c,
+    0xc21f406c, 0xb8f9c1e2, 0xe67f0915, 0x42de92cb, 0x52a7e69a, 0x62614927, 0x15067790, 0x2eb76a7a,
+    0x8408bf7a, 0xe9f2cc55, 0x5289178f, 0xdacc544c, 0xb3a35716, 0x22a144c5, 0x0d6678ed, 0x2c04b57c,
+    0x28b2d1ac, 0x70b5580f, 0xcbfe317c, 0xfdd38eec, 0x691fb0fd, 0x3f2d7fb8, 0x13c76165, 0x0723c385,
+    0x7f621da1, 0x90d33743, 0xdea54177, 0x5d8fd726, 0xcf1c4f2f, 0x4ebbbedf, 0x60c75252, 0xaba7dad9,
+    0x7453dcdb, 0x80b35d0b, 0x84bb1264, 0xd9e1cccc, 0x1d4b0c59, 0x9678f5f4, 0x00053a5f, 0x7b3b08fe,
+    0x47f4acee, 0xd23d6d89, 0xb23540a8, 0xf9d58ce1, 0xbf70ecfe, 0x244bef83, 0x17d95a5e, 0x0a9f4a99,
+    0xa0b09e44, 0x0f9fad53, 0x12b9c0e6, 0x8c1c2561, 0x014ed874, 0x4b010910, 0x595629ef, 0x0774355e,
+    0x1f730e11, 0x54e23901, 0xe19f02e7, 0x0f319425, 0xd110da8f, 0x6ad5109b, 0xec74e0ca, 0xe8418afc,
+    0xce382830, 0xa80bdd79, 0x814404fc, 0x3207c1b0, 0x1e561675, 0x28532233, 0x1359e9e3, 0xf2a72c2f,
+    0xef276287, 0x16509a52, 0x1a4e94e1, 0xb11144e8, 0xd7a94626, 0x6514ebd7, 0x705ca8b6, 0x91a8a4be,
+    0x06db7757, 0xa22c7f53, 0xc07e4442, 0x894ef6bb, 0x72b3e94d, 0xd445ecff, 0x6858f2d2, 0xd1cc358b,
+    0x2d21e4ec, 0x911fe03e, 0xd3c8574a, 0x1a3a126f, 0xa73f11c6, 0x320b11c4, 0x62ac6eaf, 0xc34f9485,
+    0x85fdb61a, 0xae940e8b, 0x5d04cc96, 0xd5ff0cea, 0x2850c056, 0x3fe63251, 0x8b5ed740, 0x8cf52409,
+    0xc9001eae, 0x4895b533, 0x397f5820, 0x6f3b0802, 0x79b6fb5f, 0x668896fd, 0xa5f8662d, 0xb9f63e18,
+    0x780e5af8, 0xcfefb3b6, 0x08ef2efc, 0xfd59d425, 0x5cf21439, 0x76de0552, 0xd16fcf2d, 0x97b9326c,
+    0x7a193909, 0xb3a8f3bd, 0x51a4f50a, 0x5baf2569, 0x5a86fbe0, 0x28d99c01, 0x8ec3ae9a, 0xe96f3160,
+    0xe3eeb575, 0x2b2fdb9d, 0x95199c86, 0x3a270380, 0x99449b7f, 0xf6ed4432, 0x6e9be995, 0xb804f5cb,
+    0xcaf38d35, 0x962d9460, 0x4c8de640, 0x73a6b032, 0x0cfb21ad, 0xfb8c09fe, 0xee723b0c, 0x3afe8204,
+    0x20320ec5, 0xc1e32f68, 0x470bc8df, 0x47c2e21a, 0x16a86cd8, 0x723398af, 0x6d97ccc9, 0x15392aed,
+    0xdbe8d9a6, 0x2f334821, 0x445c162c, 0x748fd356, 0xbe6b1bad, 0xaf7794fa, 0xd20e8afd, 0x61c0bede,
+    0x39aca00e, 0xe5ae5d9e, 0x947cee42, 0xf9758616, 0xce50dbcb, 0x0ffaea40, 0x33c46adb, 0xeb274db6,
+    0xfda5d4d2, 0x3bd42de9, 0x4904a6bb, 0x6dcdf350, 0x446ac135, 0x31a1a5a0, 0x07407aa9, 0xa8080ba4,
+    0x0fb123f4, 0x60c76de9, 0x37fa825f, 0x4a6364f0, 0x434dceaa, 0xee971d9c, 0xfc843cde, 0xde2baa2e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000281474976710656 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a934, 0xf0979a36,
+    0x00000000,
+    0x87d9f2a9, 0xf33b1326, 0x73aa6ddd, 0x456b6b59, 0xc0b83670, 0x37b9b815, 0xa1cd0d6f, 0x4021697e,
+    0xfa3251de, 0x984d9933, 0xfbe4292a, 0x218a100c, 0xd5ac78d1, 0xf31b4664, 0x5a9f74d5, 0x7be76d22,
+    0x09fc2190, 0xbebef4cf, 0xde434142, 0x463f670e, 0x78fea7ce, 0x05328f97, 0x0031cd94, 0x822ea856,
+    0xcff49c41, 0x4e96d090, 0xf562aa01, 0x7332cb34, 0xac6d75c3, 0xbee16b7d, 0x83f0aaa4, 0x5bc865ba,
+    0xf625c9d0, 0xde2be579, 0xdc28b057, 0x63b37379, 0xb6e18019, 0xf81b20ba, 0x4d95229a, 0x5cb933b0,
+    0x51e8809b, 0xc095d158, 0xbacff0c6, 0xfbe3fb55, 0xdf186df2, 0x48bd4fa6, 0xc22fd034, 0xbfc3f506,
+    0x03b7dad4, 0x9181002a, 0xae3f8324, 0xcccc7063, 0x8be7013e, 0x0f00246c, 0x7d7b26c4, 0xb9140436,
+    0x04c7ff6b, 0x9c274c69, 0xccb245b8, 0x3d367017, 0x526d2387, 0x36929b6f, 0xd1c90602, 0xc22246b5,
+    0xa9a1202e, 0x6d93ad4b, 0x63c1f551, 0xb41c231a, 0xd026690b, 0xbaf0347b, 0xfe6836cd, 0xad199b49,
+    0x9b96ba29, 0x7b60f198, 0x901fd88a, 0xdb5e685c, 0x333ed394, 0xe9448b49, 0x07b16f08, 0xb92f734d,
+    0x2189060b, 0x2f88e312, 0xcee63a69, 0x4a5e51d1, 0x7e989082, 0xddc8ed9d, 0x8624a839, 0x241f07a0,
+    0x5828c3f6, 0xf3e3563c, 0x98abdf1e, 0x0439d2bc, 0xf25be622, 0xf8ec02df, 0xe6414eb4, 0x3716ad30,
+    0xfae405a9, 0xae2f3532, 0xc5252f4b, 0xe42887c6, 0xb1a23835, 0x7fbdf46e, 0x02ddd71e, 0x101a42a5,
+    0x0460d4bf, 0x7a98568e, 0x16d62d74, 0x4a3aee5c, 0xdc332d20, 0x5fcb6b60, 0xcf5562a8, 0x6500d3d9,
+    0xcf9bb72b, 0x4474cc7f, 0x584ed29c, 0x7a4dd494, 0x1dc96c92, 0xaef97535, 0xe269d9fa, 0x7c6eb014,
+    0xb9bd58b5, 0xfe4daf9f, 0x8e0f1211, 0x0f73508c, 0x0fdf5630, 0x7c961673, 0x2b99d540, 0x9b63f525,
+    0x931e55de, 0x4c6e01b4, 0x1c4ad47d, 0xa9795d16, 0x4d7991a3, 0x3b35c9a2, 0xe47c1245, 0xf2918a5b,
+    0xd6df9bc5, 0xf57830c5, 0x3f78194b, 0x5ff47eef, 0x0b17a3d5, 0x0e7fda37, 0xa9614b56, 0xf81d5291,
+    0x77bd1759, 0xec83eb48, 0x491d2403, 0x4b798d16, 0x227acc23, 0xbe623fe1, 0x78925294, 0x62d4d136,
+    0x5a5282a8, 0x4e72b360, 0x9594acd9, 0x75fdba8c, 0x651ec4aa, 0x691eaacc, 0xcb0dd732, 0x96dcaeaf,
+    0x51f3be71, 0x973c91f3, 0x320be888, 0x7da4ee37, 0x24016a73, 0x57a0d7b5, 0x89b82081, 0xc356f70e,
+    0x50161c1c, 0x10185d70, 0xc2609da6, 0x1b2b9b7d, 0xbbf1194f, 0xac4c14a2, 0x443369ef, 0x6ebf6c4e,
+    0xa44ff417, 0xd64094ec, 0x98ab52b2, 0x75e4ed42, 0xffd10a03, 0x80f689ff, 0xbe4118cb, 0x39e32fbe,
+    0xe957deb9, 0x8a4ca0b7, 0x3ff12296, 0x3da9b299, 0xbeffeab8, 0x6749c3f5, 0x8130b397, 0xdfdbc026,
+    0x11f5253e, 0x6fd04fbe, 0x78952073, 0x84f253fa, 0x36fd5b38, 0x15fb9be9, 0x777563fc, 0xeea0013a,
+    0x697331f1, 0x48439b63, 0x460c6925, 0xaaf440d7, 0x72672f4a, 0x25c56661, 0x5ca0ec4e, 0x40368243,
+    0x416c62fd, 0xf4973913, 0xa7ffcff8, 0xb3424803, 0xaf1420aa, 0x6e1b8f74, 0xc9fd2483, 0x4431b972,
+    0x5a30bdf7, 0x8485c8aa, 0xdf4fd28c, 0xf087af94, 0x79317bf5, 0xe7a09859, 0x7904527c, 0xaded50fc,
+    0x502b03f7, 0x891a95c1, 0x6c5c84bc, 0x0f40e0c9, 0x4f165c00, 0x75139b0a, 0x5ad45b6d, 0x0cdd3101,
+    0x107f1ad0, 0x7fe5c992, 0xd1bb349e, 0xc97950a7, 0x525ea0ab, 0x37bd2685, 0xfd683323, 0x6771f8cb,
+    0x3363604f, 0x74128ea9, 0x0bd41191, 0x4adc9e15, 0x6433a3e4, 0x4b58027f, 0x9b9b253a, 0x7c222f22,
+    0x1b0a7255, 0x7b767ad2, 0x19c4949e, 0x4d065901, 0x421f645a, 0x1c053c58, 0x56818c3c, 0x903fc9ea,
+    0xe7a81bdd, 0xc62bb6bc, 0xce45938d, 0xb1a3fed4, 0x05b830b9, 0x5bc50ad4, 0x3d95f1a1, 0x6207d5a6,
+    0xc86ae27e, 0x16015d0c, 0x5c9e26c1, 0xf912c102, 0x64541fe8, 0x3917fe46, 0x9a702ecd, 0x42adacb7,
+    0x79b7dc16, 0xfff2c94c, 0xfe767eb0, 0x99adce57, 0x9aa27284, 0x7f92013f, 0x3435ef37, 0x5ae88383,
+    0x65042c70, 0x1fcc6041, 0x0f9c003f, 0x691aca3a, 0xfd11ee69, 0x5fd611e9, 0x295e317b, 0x0e3d5ad2,
+    0x04f31857, 0x59e96307, 0x64e4f555, 0xff67646f, 0x32b784ae, 0x6f585845, 0xfb24c4fe, 0x9ad84d1e,
+    0x8ee869c0, 0xea27b0c1, 0x61b6c8ae, 0x8e9ddd98, 0x406d7aaf, 0x96dfc78c, 0x618aa22c, 0x64dffd89,
+    0x49e554d1, 0x7cf675c1, 0x5bd6887a, 0x99269004, 0x491e5b42, 0xcd20b065, 0x543a1edc, 0x75dadfa4,
+    0x6a703248, 0x45992d1e, 0xccd96565, 0x9029f926, 0xf5c4a622, 0x9c5ccab0, 0xaed0385f, 0xabd2e85d,
+    0x9b4993df, 0x9218db36, 0xaa28859a, 0xbe523059, 0x057f6be1, 0x588a32f1, 0xbb237f58, 0x16885335,
+    0x05401473, 0xd1153cef, 0xe06a3e38, 0x3fa67a4f, 0xbe3c4b3e, 0xe9670460, 0xb30ec27b, 0xaed2fd3f,
+    0x7dc0bf3b, 0x30d5746c, 0x72258fae, 0x1587b354, 0x7c3824ef, 0x26711832, 0x359522ab, 0xe9a65b35,
+    0x74a68f15, 0x98fb77ca, 0x56fa60ca, 0x9603274e, 0x8dbd95fc, 0x0cb39d6c, 0xd4bea447, 0x86992564,
+    0x0d1e9bfd, 0xf5e2886a, 0xec5f3329, 0xa843aece, 0x4a6fbc33, 0x8c20159a, 0x2ebefc54, 0x8f21fdb3,
+    0xc6f85983, 0x67ab3d29, 0x4dd4ea8c, 0x12841499, 0xcdb325bc, 0x1c2299a6, 0x90163ce0, 0x250b647d,
+    0x7a496fff, 0x39223928, 0x8e5e6751, 0x37e729ad, 0x20a0cc5c, 0x8a10b44e, 0x7005d157, 0x1366cf16,
+    0x4c841861, 0x8d09c546, 0xfe79a6f2, 0x52e88f7e, 0x7aa946b4, 0xcee22724, 0x148dde71, 0xcfea0609,
+    0x58a605ef, 0x188356b1, 0x78cb277b, 0xcc735706, 0x2cd2fb34, 0xde7607f2, 0x88e5aece, 0xfa268cd3,
+    0x67116d7d, 0x5413033a, 0x994d999f, 0xadcae9e9, 0x79044326, 0xe920e96b, 0xbba0493a, 0x3841f455,
+    0x926f26aa, 0x1df820bf, 0xfa55ba84, 0x4b385e65, 0x25e19f24, 0x73aafdc7, 0x44aec3c4, 0xd2ba18b2,
+    0xa710fd3c, 0xe2e2c4d3, 0x8ee32449, 0x651dcfdf, 0x9e09f339, 0xfbee1e31, 0x886128fc, 0xd9cb7de4,
+    0x12fdbca8, 0xcb8eab33, 0x7c5f0aa6, 0x9ab07e28, 0x8308f347, 0x5b7490dc, 0x53bf7e11, 0x918988f9,
+    0x52f243b5, 0xea7e6e6a, 0xcc203348, 0xe0d391f1, 0x0e58e693, 0x04aaa32e, 0x6ad506f1, 0x57c214b1,
+    0xbb3f38c4, 0xbb64c6a1, 0x777dc68b, 0xc989cc1c, 0x9ae8b14d, 0xe16a563c, 0x4934a92e, 0x2c3ae23e,
+    0x4dfe3247, 0x4978b2c7, 0xf527df1a, 0x5b1a86b0, 0x46a89142, 0x673509c7, 0x61efe34a, 0x907c3a5b,
+    0x5ef135e0, 0x92f327eb, 0x6f042372, 0xd0a0cc7b, 0xa75f4515, 0x0d9992a0, 0x1066653b, 0xd1785f4a,
+    0x5201238c, 0x13aa8350, 0xf2fc3104, 0x7109c6ff, 0x50a2d788, 0x49fe7520, 0x0e1a0305, 0x98ddca28,
+    0x8cf7adcf, 0x34e0c9b6, 0x62a8f58e, 0xfdac9e85, 0x1c5e232e, 0xcbe722dc, 0xe53c58f0, 0x36245229,
+    0xcc57acc7, 0xc825c5c2, 0xd29e00d0, 0xb038a1c8, 0xc1ebabc3, 0xba18c05c, 0xeec67520, 0xcaeef766,
+    0xb0d1da40, 0xace7a73d, 0x273f8549, 0xf65bdde4, 0x3b933d7b, 0xd55c2be1, 0x0a43434b, 0x4ef7b274,
+    0x60385427, 0x982f5699, 0xb84bdf04, 0x85c9ccfc, 0x54b802b9, 0xfb5be3f5, 0x75f68ac7, 0xbe381b54,
+    0xfd199983, 0x3723c516, 0xfb98c80c, 0x6da43519, 0x9e31c97d, 0x4edfa3f8, 0xf2d15a25, 0xde0f47d4,
+    0x85821b32, 0xabd203d9, 0xeb750f20, 0xc1357d3c, 0x2be15070, 0x4633d2da, 0x883532ae, 0x4c2a93b8,
+    0xbfaa5262, 0xdb158ae7, 0x73c68ad2, 0x4d10a7e3, 0x7632300c, 0x0e1956c7, 0x1143a684, 0xe623bff5,
+    0x7d195f87, 0x7f8f80c0, 0x12a859b1, 0x4533e7dc, 0x6d846f36, 0x9b8a7398, 0x1b33d3dd, 0x3ce3c36a,
+    0x17f3a845, 0x87b22d37, 0xeb22881f, 0xf577aed4, 0x8d9c4571, 0xb02da811, 0x66136abd, 0x8976bee8,
+    0x51e1d8a1, 0x528166de, 0xb12d5d45, 0xda149536, 0xd619a5a8, 0xcee3bede, 0x523f1bbf, 0x7f31e6ab,
+    0x936d96f5, 0xeb9018d7, 0x681dbc9e, 0x0d73d9e4, 0xab0f3fdd, 0x85f93a25, 0x86ce4d1a, 0xd8d77e23,
+    0x1433f457, 0xa306e2bc, 0xf168959b, 0xfd21a383, 0xdc1e8815, 0xff4dacd1, 0x2ad02e61, 0x0ca2353c,
+    0x7ebfcb7b, 0x531bcc01, 0x8787dce2, 0xcf09d547, 0xf02c052a, 0x88f38d3b, 0x8333a3a1, 0x7581b718,
+    0x7541c84d, 0x57479598, 0x11f44b20, 0xf22190bb, 0x9c3e5643, 0xeec7d4cd, 0xa065b41a, 0xaef101a7,
+    0x5f1017c0, 0xfd155153, 0x6dc2b4cf, 0xd91c4510, 0xc942c4e3, 0xd1c26370, 0xaf73c94f, 0x271f2016,
+    0x3888fc2a, 0x65b225b7, 0xe0ccfb74, 0xcfce0639, 0x917ccb58, 0xcca607c9, 0xb9785b8f, 0xc79458e6,
+    0x8dc6a725, 0xf376526b, 0xb913f0ed, 0x0dddf1a0, 0x5081bbce, 0x372893ec, 0xeb5886ed, 0x93fe1504,
+    0x66fea0f2, 0xa217b4a0, 0xaf51e28a, 0xbb0496d7, 0x768b1ad0, 0x881cfbbe, 0x0c2724b7, 0x29e8f83c,
+    0x36af989b, 0xe55b7456, 0xec5895ce, 0x75f56f1b, 0x99b5bd02, 0xf51f0b8e, 0x78da70d5, 0x2d2871f4,
+    0x3f3e5f16, 0x562b607e, 0x022863ca, 0xfdd612b7, 0x5bf35c74, 0x5fdfb435, 0x75593868, 0x8b407e0a,
+    0x00b5f66f, 0x1a0a33e9, 0x2e736a3c, 0x0d9859c6, 0xa9423777, 0xf80f243d, 0xa653f28d, 0x027f8c40,
+    0xcdd6f43c, 0x958f3e95, 0x9ab45b68, 0xb4625b47, 0xfe3f8e6b, 0x5cb76863, 0x22c3868f, 0x68d66a74,
+    0x5419c300, 0x6ffc0879, 0x5d1a6e92, 0x6b38937c, 0x873db357, 0x151b0d5e, 0xeb3b0deb, 0x56e55ac6,
+    0x2ad65559, 0x8b8470b0, 0x4b8a22a5, 0x8c08fb73, 0x1aeafe6f, 0x8541549e, 0xebd223a3, 0xedd9145c,
+    0xe3d1dc39, 0xcc2168f9, 0xef530a64, 0xe7ac46a7, 0xc64865c0, 0x9cfb91fa, 0xbfc7c0d7, 0x9294bfbd,
+    0x4ab7d708, 0x8f4a3fcf, 0x5745cc0a, 0xe6c6b589, 0xa176e61f, 0x84022f07, 0xde05e63a, 0x1fff0420,
+    0xeffa9fa1, 0xcf2202e6, 0xfad77935, 0x62e910ec, 0x35c148c7, 0xc1db3dbf, 0x72533bc3, 0x7b009d4e,
+    0x862d6303, 0x443febdf, 0xf12e1010, 0x5f9a7ef3, 0xa5aa7d83, 0x67218357, 0xbdb1b38b, 0x6255ecde,
+    0x4aed3f8d, 0x8f01b667, 0x1f6af880, 0x8190c329, 0xc17e59f8, 0x102304a7, 0x57d93136, 0x3ebd5c73,
+    0x0c0ed4e8, 0x098e8ffb, 0xb96d0df3, 0xac78f9de, 0x45a6b635, 0xec9e5561, 0x78bb5264, 0xec19e46e,
+    0x4127b4c1, 0x70e1961a, 0x1a1722b8, 0xdfc0f9be, 0x2daf04f9, 0xda6e3bfc, 0x7a3a27e7, 0xfa9af2b1,
+    0xfab75b9f, 0xbd7953d1, 0x8eb68f41, 0x346d29e5, 0xf82cce8a, 0x56cecf21, 0x16a8329d, 0x38e3544b,
+    0x862e3e65, 0xbda94688, 0xcc0fca30, 0x1952454b, 0x593c463f, 0x56a34690, 0x8142644c, 0x4f6a8f8f,
+    0x1dc434b9, 0xf8ced00c, 0x857d4941, 0x37ffe0dd, 0x8a6b5498, 0x8138f85f, 0xa74ca8b0, 0x09661506,
+    0x045cf3b3, 0x35a93ed7, 0xd77d85ac, 0xe2a66469, 0x8e36d222, 0xec549b22, 0x7ac858b7, 0xbd7569d0,
+    0xf10085d2, 0x1a47b568, 0xb1328a67, 0x8ffe0205, 0x1d281456, 0x1b7e6fc1, 0x0661a95d, 0x9e0bba20,
+    0x89bc58e7, 0x263b13ef, 0x2e448f50, 0x381d9091, 0x422b714f, 0x8326225a, 0xdec7b032, 0x0b16cba2,
+    0xf4a3a934, 0x2a2eaf08, 0x357c4a7c, 0x2bc54d46, 0xb5d5c60c, 0x43f2b2ba, 0x1268a93d, 0xdc6a5acb,
+    0x6df80ed5, 0xd548f65c, 0x0c2f4fe6, 0x5005d635, 0xd2548898, 0xc7b2228e, 0x218e8d4f, 0x8d51750b,
+    0x2c9c038c, 0x803b3a6d, 0xd6bb205a, 0x66a33810, 0xc77e2c0f, 0x7f8a9b3f, 0xe5a1ce6a, 0x90367b0b,
+    0xc9c34961, 0xaea8e39a, 0xb35b792d, 0x37f69d5a, 0xa6ec075a, 0x30d30bf3, 0x51fc5034, 0x6d518c5a,
+    0x3efa6cff, 0x68970f69, 0x6900512e, 0x627016f5, 0xee6124c8, 0xcbd48391, 0x9e69c1b5, 0xf55b9fa0,
+    0x25ed5138, 0x613c773f, 0x4fee2c55, 0xd3809046, 0xf637aca7, 0xb817c7cc, 0xe44e8b68, 0x4d823eed,
+    0x71bd0da8, 0x09abfb7c, 0x0dde8672, 0x8e1a1b06, 0x1aeea053, 0x628170f4, 0x671f8987, 0x67a34e72,
+    0xe78b6d25, 0x8e3ff5c6, 0x365778c2, 0x9991709a, 0x7fff67e3, 0xf1a6a6d5, 0x89b93be0, 0xf8164dd5,
+    0x43a2ea6c, 0xf6461125, 0x26e1c6ad, 0x85bec36c, 0x21b8b47c, 0x88de7e19, 0xa8b6502c, 0xca2b4832,
+    0x52aa1867, 0x3bf0371e, 0x12a0e59c, 0xb8186cc3, 0x2cc80497, 0x0be9b003, 0x2d91a1cc, 0x92b4607d,
+    0xb945d8e0, 0x0b7c89df, 0x158bbf11, 0x93d49da2, 0x9c133cfd, 0xb9186d19, 0xe543b672, 0x8b95bcf6,
+    0xe45a5578, 0x7a13a55f, 0xfd823644, 0x3d8978ec, 0xda5f63ff, 0xd0ef4396, 0xed5e0b0b, 0x824d8fb5,
+    0x63a3d61c, 0x80abb105, 0x47a26117, 0x7067eb46, 0x8374f77d, 0xb19f77be, 0xf4ddd1f4, 0xae47e7e8,
+    0xb59dff37, 0xedda4f95, 0x8a5a321c, 0xa816a2d7, 0xe8a6c6d1, 0xaf516c34, 0x8ff42984, 0x1db40545,
+    0x1641783d, 0xfff885f1, 0x9e31de08, 0xfb1f3934, 0xdcd3e708, 0x94517e28, 0x88cf42e0, 0xe77b09d8,
+    0x2c18f286, 0x8f122816, 0x93957feb, 0xd576691b, 0x05560a66, 0xd8df07e3, 0x9403d065, 0xe9243775,
+    0xf201d9bf, 0xdf88c862, 0xd86b9386, 0xd47efcad, 0x04ba1e11, 0x15b07c37, 0x9cb9e74c, 0xcfa62c30,
+    0x6d5b24fd, 0x7db6705e, 0xc7605ce7, 0x01c16a8f, 0x5a62e018, 0xb75d6f0d, 0x48848bfb, 0x528e823b,
+    0xff694271, 0x7bd91947, 0xab102940, 0x5438a841, 0xc6cfb797, 0xa11d8c84, 0x8202ec10, 0x356405ac,
+    0x781bcb2c, 0x29c344dd, 0xc7c1c967, 0x86bc9562, 0xbc62ff45, 0xd221b26a, 0x5c707ee1, 0x1493d551,
+    0x1a8ea453, 0x550c3e36, 0xa33eb4f3, 0xb52104e5, 0x24d4142c, 0xf61fa1a8, 0x309105e1, 0xaf5b1011,
+    0xd8f08140, 0x8741ef47, 0x90ef8b84, 0x7b00640f, 0x0aeffc10, 0x2bb0d7e1, 0x617ed743, 0x1697533f,
+    0x55af5330, 0x25a824d1, 0x91fad34e, 0xcce5bb1d, 0xf102bdc5, 0x3a30e405, 0x8b722bca, 0x1e85ce2c,
+    0xfe69c1cd, 0xbc77792f, 0xafb1b19c, 0x34812501, 0x42fbfeaf, 0x8fcddab2, 0xfa0279c0, 0x8cedc7fc,
+    0xa19fab7e, 0x226d67bc, 0xdee3ff12, 0xf43d7ee8, 0x86406fb3, 0x4080c5c4, 0x0b4f2189, 0xd12040d3,
+    0x00b1e72b, 0x78dee1ff, 0xb4b7245b, 0x40f90ac0, 0xb196a141, 0x22a478f0, 0x54b88c82, 0xb3bf5927,
+    0xf8936b1a, 0x1a2bdc07, 0xddc9eee0, 0x6daa0b1c, 0xd1913722, 0xfbaa808c, 0x775da3fa, 0x8a62f121,
+    0xdd44836e, 0xbfd22390, 0xb000875c, 0xe9217893, 0x1f54cd5b, 0x81791e4b, 0xf3c11ee1, 0x690c122a,
+    0x43e0d16c, 0xc6878150, 0x448336ae, 0xcbbcb433, 0x8be662db, 0x0ffe572f, 0x627d3c2f, 0x7e4564a7,
+    0x74a16197, 0x76e441d2, 0x7030a655, 0xa6ed3614, 0xd114e1b4, 0xa27a08ca, 0x54d7b43a, 0xbd9f23af,
+    0xe4966994, 0x6b380bd0, 0x6a50af28, 0xd866f868, 0x73fe799d, 0xa2182f56, 0xd4972646, 0xdf526b30,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000140737488355328 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d49a, 0x784bcd1a,
+    0x00000000,
+    0xba7d0c19, 0x8d8f6ef8, 0xe5c8beaa, 0xb06acf6a, 0xc79c50e6, 0x630b28a7, 0xce4e3958, 0xb4211d6d,
+    0x5b279762, 0x31f9a160, 0xfeeac939, 0xe4f9d2e3, 0xc060ad49, 0x12fdd3e6, 0x30439d2e, 0xc2983a13,
+    0x718a734f, 0x15118ab8, 0xa6c2a729, 0x90d4a502, 0x319229a2, 0xd0d0d1d3, 0x358697bc, 0x6eba9d22,
+    0xd4409e21, 0x09517f7e, 0x400e63bd, 0xe3e44a5b, 0x3e149794, 0x99a36892, 0x8a6a004b, 0x0d426e95,
+    0xe629faa4, 0xd8aaba1b, 0x9b6b9a3c, 0x528db728, 0x3f98cd6f, 0x11f93fa9, 0xa6bc9456, 0x6555d308,
+    0x16ef595c, 0xe1f2bc10, 0x2c731a49, 0x5eda1a44, 0x3dcea7e8, 0x805b8c65, 0x86134f6a, 0x132a7d55,
+    0x6ad91f35, 0x35013035, 0x0fef7b7a, 0x8ac2b214, 0x79c5a072, 0x168b49c4, 0x95cd6ed6, 0x81c96937,
+    0x149b63e7, 0x94b7cb4e, 0x3aef0dd5, 0x1b05c794, 0xb1c5769e, 0xd0696f1c, 0xf4440734, 0x6cc48b6e,
+    0xa5936819, 0x164bbf0c, 0x7b99644b, 0x41692371, 0x580912c7, 0x432e7fb6, 0x36ece7b7, 0x2642cdde,
+    0xd2a1fdb5, 0xad29e03d, 0xeada9ddf, 0x54307e99, 0x753f5572, 0xce67a8e6, 0x031f4e23, 0x62efa53f,
+    0xc3997462, 0xa2b709b1, 0x81685bb2, 0xca9b03cd, 0x53dcbac4, 0x7e3e38b9, 0x7611fc74, 0x51bd3945,
+    0x84debfac, 0x4e8fd586, 0xeb115723, 0xe8a52aa2, 0x3e0eb9ed, 0x27e30ec3, 0xab7e7a0e, 0x70aec902,
+    0x23a390da, 0xbcf27ce7, 0x52b300ff, 0x2a7fda84, 0xeaf80233, 0xece35e2c, 0x91edfc87, 0xbb6b3d2e,
+    0xef2694a8, 0x0eacb6e2, 0x9649e4e2, 0x53c6cf14, 0x898bf84c, 0xe6814641, 0x65454d56, 0xe0719836,
+    0xabb1b456, 0x41e59ef8, 0xd735f715, 0x61a07693, 0x5a0037be, 0x3f785da7, 0x72a322db, 0x3a65a3e9,
+    0xb52acbf3, 0x64d51472, 0xc1857f17, 0x48489e8d, 0x4b026a79, 0xd8b04bd8, 0x4ef6b6c9, 0xf7c2b0c8,
+    0x20ca4d2c, 0x03d90879, 0x17d6df1e, 0xf07b5019, 0x127257dd, 0xca6d23a2, 0xda0b42f7, 0x8645e5f8,
+    0x4149e109, 0x4c948f95, 0x7dc0cb45, 0xc458d719, 0x778eaa05, 0x963eb017, 0x31333068, 0x7b2e34f1,
+    0x5a052f77, 0x4eff78be, 0xe6cc6c8e, 0xcad77996, 0xd6e172e8, 0x62db25b7, 0xb320e6c9, 0x658bce8c,
+    0x5458c01e, 0xd72ae41f, 0x05dc7442, 0xe0ec5833, 0xbac021eb, 0x784543cd, 0x702be006, 0xd10ee182,
+    0x886590df, 0x3e3f3afb, 0x23561bb9, 0x2a664cf2, 0xa55d8c42, 0x51430588, 0x34ad09c8, 0x2a9ecda4,
+    0x27d8e957, 0x6797bcd9, 0xcf293584, 0x121953d4, 0x0ae215ab, 0x4ab9fb75, 0x5d329cbd, 0xe2314382,
+    0x80c6dcce, 0x7c8a92f8, 0xe82e2b56, 0xe06d9278, 0x4815f400, 0x530f7b46, 0x0be94dff, 0x296b51e1,
+    0xdb9947c8, 0x6eceb5d5, 0x9c470702, 0x19b3a9ae, 0x012fb3b3, 0x9233aa13, 0x690b1e3a, 0xe79673c1,
+    0x6c44ed8c, 0xfe3148eb, 0xc4a15f48, 0x6704a7db, 0x10f4a645, 0x608d796c, 0x0e176011, 0xe61af85e,
+    0x2e57b6b3, 0x6368aa0f, 0x4dfd21ca, 0x4a10945d, 0xb72d00aa, 0xee187039, 0xcb13c065, 0xaaedde9a,
+    0x955010b5, 0x372851ae, 0x840a7b73, 0xebe90451, 0x0fc5bc9e, 0xf2d8569e, 0x73489687, 0x88e27495,
+    0x49490461, 0x3c465c23, 0x49d9bd6b, 0xad071019, 0xe8a6031e, 0x0889d1c8, 0x6d9990c7, 0xd19c6061,
+    0x616a2c63, 0xcf3787f6, 0x418dd404, 0xe040b1d7, 0x8ed87514, 0x64a77b45, 0xcb3e683e, 0x85805bd5,
+    0x9c77151b, 0xcab3f9ef, 0x0f721ba1, 0x0e969f67, 0x5f7df2e5, 0xc53f4605, 0x48372ea2, 0xe536ccc7,
+    0x5a231a9c, 0x7336618f, 0xab3b32f4, 0x43e32739, 0xde5d4c36, 0xcf3b0c28, 0x9e485da0, 0xf0e094db,
+    0xceb3c551, 0xc69b207a, 0x1e4a2b7d, 0xa8be397e, 0x45d859f8, 0x9fc9ead2, 0x84fd40ae, 0x66a01e0e,
+    0x7e175def, 0x33bc0d3a, 0x94d072b8, 0x9bb63281, 0xe2502c62, 0x977792be, 0xcf614de4, 0x5db26007,
+    0x06686d30, 0xdd5d2209, 0x30cebc08, 0xd2f48d9a, 0x9edadac0, 0x14089c4b, 0xa6e20b86, 0xc4fbf322,
+    0xeecda2aa, 0xd0d3edd1, 0x37a6957c, 0x4e2c8fa2, 0x9cfe2c66, 0xd0c6b7ac, 0x203a4059, 0x17876e86,
+    0xf171c40b, 0xce7db3e1, 0x42abef39, 0x8c92f683, 0x56c9a748, 0xb5d16f71, 0x05c24f88, 0x36944434,
+    0xed0de097, 0x5fbd5468, 0x5f6993df, 0x11d06304, 0xaf06cc2f, 0x5a94651a, 0x965158e3, 0x4dc36bae,
+    0x760753a7, 0xfe85a9bf, 0x9668046d, 0xd1b30fd0, 0xa5642f2a, 0x24248bb3, 0xa08522f2, 0x46809eaf,
+    0xff051817, 0xe1e9bb5d, 0xac74db7e, 0x99a74de8, 0x2f5a4c0f, 0xc6d6fb54, 0x3945a4a7, 0x61d939fc,
+    0x34de8949, 0xb4650e36, 0xd8d4ecf5, 0x63195341, 0xa315951d, 0x051148f6, 0x80bb950d, 0x9aca10f7,
+    0x3e54b1e6, 0x9ff80551, 0x1468001f, 0xd70eb8f8, 0x1224b0b5, 0x2d9d440b, 0x85a07376, 0x8d7af5bf,
+    0x59aa0979, 0x65fd637c, 0xd679883d, 0x32bf9912, 0xacdd58a0, 0x9dd70859, 0xb482782e, 0xd57eb9c1,
+    0x73cc51aa, 0xaf97f167, 0x398bfaea, 0xedce04c0, 0x0743760a, 0x615754fd, 0xf127d150, 0xd913ed0e,
+    0x7650a86f, 0xbc7658f7, 0xda7b117e, 0x3a007fb4, 0x3836444b, 0xaee7e365, 0x3a18a001, 0xd8c35200,
+    0x5f77c908, 0x5822baca, 0x4bc69b80, 0x83903f68, 0x699b0132, 0xb7cd4909, 0x7d332181, 0x9d63c431,
+    0x09968870, 0x55a2dad5, 0xb9045193, 0x1d871aa3, 0x4fd60d29, 0x9e67abe3, 0xc268a1f8, 0xebed5e38,
+    0x07aa3e9b, 0x30429e27, 0xaa95457f, 0x8474c1b2, 0x21407d78, 0xfa0d2ed5, 0x87a115eb, 0x0ffc6413,
+    0x015d926b, 0xdb594bc5, 0xb5781302, 0x99f00c47, 0xe87764c7, 0x46f9bb5b, 0xb5e19b29, 0x854e8c54,
+    0xdb679e13, 0x98b8486c, 0x45130019, 0x17686a90, 0xe129d695, 0xb7d15754, 0xcaaef513, 0x7b19e531,
+    0xb55775e4, 0x0c05a17a, 0x28f992a3, 0xe797d923, 0x401fc685, 0x1a098ce1, 0xb1b1201b, 0xf5a2233c,
+    0x6e342f07, 0x835f979f, 0x05b7f1d1, 0x27a8f0ee, 0x1c36c45f, 0x21e1c317, 0xd2db2497, 0xa6f493b6,
+    0x698b4f7a, 0xcaefc702, 0x469f26d0, 0x7b4c0f60, 0x96ebcc2a, 0x43795b43, 0x5ac66097, 0x649a3c73,
+    0xfe44857b, 0xeb399974, 0xe11d3d27, 0xd50c2392, 0x63711cf4, 0x126d9104, 0x2d04e4af, 0xe25b5344,
+    0xa9d54c6d, 0xed4e8f4d, 0xd1ed76a5, 0xb4e09ac9, 0x457575cd, 0x628750f6, 0xa207006d, 0x94a55a8d,
+    0x3bf671fb, 0x57a7efc2, 0x2a13845f, 0x47f7c6de, 0xbd3d984d, 0xd1408e08, 0xe6baf752, 0xb67bfb6a,
+    0xf97ea4ea, 0x40420edf, 0x5ebc8ad1, 0x14e7d5a5, 0xaeab5338, 0xfe9f36a7, 0x19c9ad68, 0xd9fe8480,
+    0x4c1b5cdc, 0xb4bc5f6e, 0xf0857fff, 0x3cf9ddd1, 0x2554dab2, 0x7deb8839, 0x37dc08e7, 0x86710c25,
+    0x9aeec0bc, 0x63489d46, 0x56262cd3, 0xc0228c1a, 0x8e97d1cf, 0x05d08c00, 0x51368070, 0xb3a8ba76,
+    0x94a4a8cc, 0xe9af7fde, 0x916d3a6a, 0x85c5fe51, 0x91f70d28, 0xf4cb667a, 0x02524c72, 0xfb5dddf1,
+    0x3a0194e6, 0xf4aac438, 0xfe67c32c, 0xb1fb26a4, 0x2331f198, 0xbfd01bb0, 0xd46db404, 0x6e95db5f,
+    0xc02ef70b, 0x5558911d, 0x80423769, 0xf1fe9643, 0xa7c33962, 0xb8243081, 0xb12d9fc2, 0xc96b2121,
+    0x579eb449, 0x4a1800a5, 0xd46b2a90, 0xd6c6e201, 0x614ac983, 0x78735953, 0xe0434244, 0x3f304a16,
+    0xffc34e8c, 0x25713410, 0xaffeaf95, 0xe9669bb7, 0x7d3425f7, 0x794acc08, 0x83bb59ec, 0x02a9030f,
+    0x54f4766b, 0x667fe05b, 0x19928b05, 0x607c1001, 0x16eb7e45, 0xef07aee4, 0xd91e1316, 0xd52bda3c,
+    0x680459af, 0x7cb01ec2, 0x620e7179, 0x51739805, 0xf4685269, 0xde59a92b, 0x19d5f57b, 0xdbeaa60b,
+    0x9f91e6b9, 0x82816476, 0x26720bf4, 0xca10313c, 0x5c5638f0, 0x389d2322, 0x794d9584, 0xcdd4e427,
+    0x49a5d090, 0x068ec1a9, 0x86df794e, 0x5fe9788b, 0x192967ff, 0xc3655df2, 0x531647c1, 0x57081d60,
+    0x4dcfd143, 0x818b26fd, 0x87fec542, 0x58267b05, 0x82397880, 0x9061752f, 0x170ac352, 0x4e4dd7f8,
+    0x31ced185, 0xb7397cb7, 0x43078cb1, 0x32d2f7d8, 0x8d0f7102, 0xc0f15c00, 0xd7ac9927, 0x208c944f,
+    0x25db6890, 0x6f17602b, 0x3fa74240, 0xf53f31ec, 0x9c758f1c, 0xc4962114, 0x1db4d0c4, 0x6097ac61,
+    0x99c750a9, 0xb96caacc, 0x4354bccd, 0xcc33d01d, 0x0a6b1915, 0xeb33bd53, 0x358fdd8e, 0xffee48d1,
+    0xf2fd38aa, 0x568c4baa, 0xf1bdeefb, 0x90662c5b, 0x4f30eea9, 0x1f2a47f0, 0xa894a098, 0x12e1a8ca,
+    0xaafa9abd, 0x0d20ef64, 0xbab7d0e6, 0x52866c2b, 0x2404debf, 0xe4198fa5, 0xaf4e6676, 0xbda21096,
+    0xcbef5ea1, 0x45334432, 0xfe93dd0c, 0xa3fc1c46, 0x8fff833a, 0x0ac5b429, 0x52dd7ba0, 0xd8da0b92,
+    0xe675d42f, 0xe7962c7d, 0xe5a9a67c, 0x7bf3e7f7, 0xe82834ed, 0xf1cba830, 0x305d47ea, 0x986742a5,
+    0xb2ab8c1e, 0x306cbcc0, 0x67a1fc67, 0xabeda31c, 0xd406385e, 0x61b78e60, 0xc1ef723e, 0x264ad574,
+    0x94dc8ccd, 0xc15d0fd9, 0x9942092d, 0x22e93b9d, 0xd91fd5ef, 0x235cd0d0, 0x476ff2fa, 0xc5516681,
+    0x42f153aa, 0xcceb89d1, 0xa71ff929, 0x575e3711, 0x122f5f97, 0x3ff6b165, 0x6367c32d, 0x9116b586,
+    0x37558c01, 0x04ddcbc9, 0x70981c22, 0x91bd0b2d, 0x020bd49a, 0xafc47c92, 0xfdb89a10, 0x59458c13,
+    0x92966696, 0x5d0362bd, 0xcd5121a7, 0xe8f3e18b, 0xb559c0b7, 0xad5ee724, 0x15748bd0, 0xb85b5e25,
+    0x92a8b572, 0x20e2c344, 0xb58e7d9d, 0xe5ae1344, 0x5b0437ba, 0x81f555cc, 0x76a3d804, 0xc74262f4,
+    0xe962b0dd, 0x71f388b9, 0xe2880125, 0x1c33425a, 0x8eec9af0, 0x3fa3f299, 0x9e6a41fa, 0x066d55e5,
+    0xad4b0960, 0x723aa39b, 0xb2d5186d, 0x73464f05, 0xeadeffa1, 0x1e5d0b79, 0xd41674ee, 0xaa85bba0,
+    0xb8236085, 0xaea65d21, 0xbd25539c, 0xe476a603, 0xc5891129, 0x2341bb03, 0x8014fb45, 0x384d0c21,
+    0x2a6c16db, 0x50299cb5, 0xdffcc001, 0x4281fe17, 0x4aa632df, 0x46360f1e, 0x7423f8b3, 0xc1304c56,
+    0x67f8bbd3, 0xe3a2e26b, 0xcf789ec8, 0x6f9631ad, 0xebff18f6, 0xb8ba9492, 0xec0a7105, 0x6db17419,
+    0x5c45c49b, 0x8bb0c1b4, 0xb7a68455, 0xab722b3d, 0x80c60009, 0x51b4341f, 0x63cae233, 0x1d7b6197,
+    0x4772260f, 0x9b494341, 0xa7959b9c, 0xbd5b0c3d, 0xfefb5dd3, 0x6911c2a0, 0xf222ded3, 0x2abd62d0,
+    0xfb141db0, 0x139a837a, 0xee629db8, 0x47f8b7c9, 0x8559b6a0, 0x3283e4a1, 0x05ed2376, 0x64e9b5fe,
+    0xb0693e70, 0xc3a0e957, 0x07f5e57a, 0x339e990b, 0x73b861d0, 0x04381f08, 0x879dd4c4, 0x49c0cf4d,
+    0x85fb45d5, 0x795301e5, 0xfb1c3bec, 0xf577dd42, 0x482699c5, 0xc91595a9, 0xfce58ec6, 0x75e4a60e,
+    0xc983aaec, 0x0b42d4d4, 0x229dd7af, 0x9321e1ad, 0x3abd0b02, 0xb9e24bc7, 0x4ffc79d7, 0xe359a42d,
+    0x581d7e9f, 0xe376c127, 0x8ccd4348, 0x1a20a5e6, 0xb0cebdd5, 0x67ebcb17, 0x150e3a62, 0x0507aab1,
+    0xc6c78e12, 0x440eae9d, 0x416460b8, 0xd7ba5d7b, 0xca47448d, 0x12ed9282, 0x274034e0, 0xdc1b3cc8,
+    0x33b9102e, 0xe1ce7184, 0xfd76b134, 0xf2d8e68f, 0x6fa0a8ad, 0xed3da703, 0xb84e20bb, 0x75e5bb94,
+    0xe6eb5cf0, 0x6bd3fbb1, 0xba764b93, 0x8535add0, 0x82f9a411, 0x4609dbd9, 0xb98e90fc, 0x6fac7279,
+    0xf6403745, 0xd5794e46, 0xb6d4281f, 0xbf64887b, 0x3539af19, 0xbc0ea3e7, 0x1fb72ff4, 0x17b00b5b,
+    0xb73ed961, 0x1f565bc1, 0x45310fe1, 0x7d15194c, 0x051bf899, 0x81e09c52, 0x8e42b5e1, 0x3f7b73d5,
+    0x335ad2e3, 0x9f684d18, 0x0a7faf5c, 0x894944f2, 0x35e80e0f, 0x7e30ad7c, 0x8b88cc2d, 0x0bbc35c9,
+    0x6eb262d9, 0x4fe735e3, 0x6d96a6c2, 0x51c6f224, 0x44295d53, 0x3d456e1c, 0xb1aeac7b, 0x0b791c3d,
+    0x6b46728d, 0xca0721f2, 0xf292a2f3, 0xbcca766b, 0xf81da745, 0x0b97a896, 0x427b8ced, 0x1079b1f3,
+    0x6a437091, 0x42518766, 0x3fc909b6, 0x1eaecc9a, 0x0a813af9, 0x96c141ba, 0x1f86a77c, 0x9178d57e,
+    0x556288af, 0xd13f14ab, 0x68652756, 0xf7fdbb35, 0x7912b2b4, 0xdead3c35, 0x2f946d0b, 0xed309418,
+    0x3c6cb427, 0x4f398fc2, 0x33199b72, 0xc082487a, 0x69608279, 0x56b7af0a, 0xe2a7c58e, 0xcc0e8ff3,
+    0xf1154d1b, 0xd366e7f0, 0x493523c8, 0x093dfd3e, 0x1d38b081, 0x4ef02eaf, 0x89653a78, 0xcb7ea4d2,
+    0x69496f1e, 0xce421b78, 0xc1430d12, 0x3ad862f9, 0xcd9413f9, 0xf8fcfe4b, 0x8a99d37d, 0x22cf910c,
+    0x36b099ce, 0x7ed6c998, 0x6878cd60, 0x744b9fbf, 0x3e4ada76, 0x48af3dfa, 0x322e5142, 0xcc8eb95f,
+    0x0eebe9ab, 0x7f40d8e3, 0x96cb8c2e, 0x3660aa18, 0xd91d716d, 0x989d98a9, 0x83515a43, 0x65db3352,
+    0xd906f0c7, 0xfedb0127, 0x58680616, 0x27a684fa, 0xa308d97c, 0xb54ad78c, 0x52d61712, 0x421b7019,
+    0xb13d2cdf, 0xfa1eb184, 0x2f723177, 0xc14aee30, 0xf040d43a, 0x2e79ae7d, 0x29f3f6e8, 0x6827dfdd,
+    0x18b5bfad, 0x33cfdb17, 0x487c3b76, 0x948e71a4, 0x6b414c49, 0xc8e90aa0, 0xf01871fd, 0xaa433eeb,
+    0xb13fdb49, 0x7a5996cf, 0xf01756da, 0x4d6bb1e2, 0xcc42ed5c, 0x92678a53, 0x77228fc9, 0x2db8b406,
+    0xa5950556, 0xabf83dfa, 0xc225be12, 0x43dcf445, 0x3b8990b1, 0x919ed449, 0xa77e42af, 0xcfbf3a51,
+    0x803cacc7, 0x616bb7c6, 0x20bf6e04, 0x60eb96c5, 0x678086f3, 0x9b7da9b1, 0x97c16e62, 0x8e459bb7,
+    0x4774124c, 0xa48ee9aa, 0x64030cc6, 0xe56aa6a3, 0x63a54b99, 0x172718ad, 0x1c830d31, 0x0318630b,
+    0x7e5bc227, 0xedfc3351, 0x83024d51, 0xf8750be4, 0x7d624d67, 0xddfdd71b, 0x4c5c4db4, 0x26998014,
+    0x2d0b3dde, 0x146666bb, 0xabb49c93, 0x0307e3a9, 0x45314ece, 0x208ef697, 0xeaef90d7, 0xfde75faf,
+    0xb55ccb9e, 0xe63c75a7, 0x42a7c91b, 0xcf2255d9, 0x6b15d07b, 0x3b811428, 0xfa7595e2, 0xab833792,
+    0x5bf3a0b9, 0x064c2420, 0x5d5a0eb3, 0xab6c6b32, 0x9114abb2, 0x1314649c, 0xeac13f92, 0x56282495,
+    0x2fc6beda, 0x44e29ede, 0xe151effe, 0x8e9821f4, 0xda8b26f8, 0xb0ea1a8b, 0x000ed8dd, 0x8fc82930,
+    0x05782cbb, 0x3945965e, 0xc88cb47e, 0xdbfec904, 0x9bed181b, 0xef6375ac, 0x39ee53bc, 0xc0b920e5,
+    0xa8324149, 0x6d5d1a4f, 0x7ec845f3, 0xf1c32a28, 0x9aa3bc81, 0xdb85efd0, 0xde084884, 0xfc94c27d,
+    0x8de20a19, 0xdecc8703, 0x3d6b66b7, 0xb030ca3c, 0xaccd9471, 0x3afedd61, 0x4587f013, 0x95c93747,
+    0xc44ea127, 0x677996d8, 0x313c3a15, 0x00875c62, 0xf7d40635, 0x5d9042a0, 0x3a83ab73, 0xc3fc4f77,
+    0x87556287, 0x1b8af3c4, 0x570c14a7, 0xa344ad02, 0xcbf0a249, 0x0239deb9, 0x402cdd14, 0x785f7671,
+    0x02078e01, 0x2d3103f4, 0x160c032b, 0x0fdfae15, 0x220fbe8b, 0x86321123, 0x9fac47e9, 0x067a5cf3,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000070368744177664 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4d, 0x3c25e68c,
+    0x00000000,
+    0xda7f4ba0, 0x8bb34b78, 0xf9a55c84, 0xa9e50801, 0xb9aafcd5, 0xde485da9, 0x7553624e, 0xa25ed7f0,
+    0x0edb01df, 0xa9699b1b, 0xe12fdc6e, 0xce876164, 0xbfab864c, 0xfa4bdde8, 0xdfa33038, 0xe67e7447,
+    0x7dd8e164, 0x55957529, 0x65a70eea, 0x506ece24, 0xb2d917dc, 0x37f22112, 0x5df8af4f, 0x97071a20,
+    0x2bb0d57c, 0xc309ded2, 0x5b07a2ae, 0x8ea7c074, 0x9c588ad2, 0x81c7cc4e, 0x03dc4cb4, 0xd24d6a23,
+    0x8bcb135a, 0xc54eb2eb, 0x90879aea, 0x97b7049f, 0x1600b6a5, 0xdba5ffc9, 0x3afabd64, 0x4d46d928,
+    0x81866c52, 0xf3e07b19, 0x8346bf78, 0x57344262, 0xddc1b18b, 0x9a2bf1f3, 0xf9731448, 0xbf55da8c,
+    0x00755931, 0x5a02bf9a, 0x7afd7eda, 0x182e6a6b, 0x88209c07, 0x1215f69b, 0x9dae36a1, 0x2cbd7d54,
+    0x1f7a0635, 0x2d477802, 0x8b7b1d1c, 0x51a4d13f, 0x726f9184, 0x9b9c913a, 0xecaa3c86, 0x0ad9c567,
+    0xb43ab113, 0x69a819ca, 0x28b94b56, 0x4d9c1ef5, 0x81bb7d1a, 0x78bfb2ae, 0x8b58e903, 0x24c4dd88,
+    0x0b684e06, 0x3560b976, 0xe679da9c, 0x35b40097, 0xf0c496d3, 0xfe8b0861, 0x08e4666c, 0xe2ed30a8,
+    0xf6446753, 0xef156032, 0x2b4192db, 0x88f4c647, 0x4b214950, 0x935ed5af, 0x381c4538, 0x54c37589,
+    0xbafafb22, 0xcbbfde35, 0xf5679c3c, 0xdabe3e33, 0x1bf3aa7d, 0xde260f05, 0xeeac6013, 0x6e3789f0,
+    0x01972415, 0xcb04513a, 0x630d315f, 0x0f14b0b5, 0x4a37bd5f, 0x7b0d700b, 0xf82fe882, 0x517127e3,
+    0xc532a1e9, 0xc78c1802, 0xdaf01fcb, 0x32a7fbca, 0x47e7e295, 0xa53093bf, 0x6ead8c49, 0x51793b1c,
+    0x31a7120d, 0xf2577125, 0x31c1861c, 0x7dfcb0fe, 0xe46f60f7, 0xb04f23e6, 0x0264e1cc, 0x06844602,
+    0x1b0ac8c0, 0x2d8ee87a, 0x9d796287, 0x1a9f7610, 0xce02cd9d, 0xc82ef292, 0xee0245c8, 0x00179aa1,
+    0xd8a47fe8, 0xcdaea8d3, 0x15e5574e, 0x43c139a2, 0x6e9a8b00, 0xdbc7586f, 0x21193f87, 0x39378263,
+    0x6f645154, 0x16043a5a, 0x0bf853b4, 0xfde379d3, 0x37c24d93, 0x668441e3, 0xb60fea4d, 0xca8711f1,
+    0x88c1d280, 0x5ea49b58, 0x149813c8, 0x0f702675, 0x656fcd4c, 0xa9f10c06, 0xeab22a5c, 0x3239cd48,
+    0x12419ef0, 0x9807bf20, 0x71811316, 0xc05d94a0, 0x7a39f640, 0xb0837730, 0x2ccc30f2, 0x7f49f686,
+    0x159dab88, 0x8e9eaa7e, 0x64fba004, 0x223807b3, 0xb3230f26, 0x2a110795, 0x922ea993, 0xab1413a0,
+    0x572e0563, 0xa33179e1, 0xcfb115c7, 0xecbe2e42, 0x27620788, 0x0f3e04f6, 0x270d365a, 0x39c48505,
+    0x8afa7e24, 0x051e4f63, 0x7a914628, 0xaf855573, 0x50a2601f, 0x91d0b6ef, 0xdf6905e9, 0x7fc80c91,
+    0x7b362bbe, 0xd6145689, 0x019417df, 0xe66eb986, 0x8ad72856, 0x331e7f15, 0x291fe23e, 0xc762b4c1,
+    0x90342952, 0x3b7d3459, 0xe311dad3, 0xba12e673, 0x0ec3c88c, 0x8c3f22c5, 0x3a5f013b, 0xaac9cff7,
+    0x20d27ae6, 0x9d6e208a, 0x21bb9073, 0xcdea5fb0, 0x22d03fe8, 0xa14cc157, 0xbc895eac, 0x610349d9,
+    0xa0b7f869, 0x4ae6dc5a, 0x66599ab1, 0x49df5216, 0x1a1c44d5, 0x49dc1368, 0x864ef1e6, 0x44020a0a,
+    0xdba71b36, 0x13cabd46, 0xfee27077, 0x310b3cce, 0xc08a22ed, 0x35e3dc24, 0xc9414a5a, 0x5e8c0190,
+    0xed41e25a, 0x3801b341, 0x354ece46, 0xe665fffa, 0x7bda019d, 0x700b9d9e, 0xe1ca7e82, 0x893807b6,
+    0x6f22e826, 0x68e5bc2f, 0xa7714be9, 0x98ef160e, 0xb84d764f, 0x12372e31, 0x511d7346, 0xd0d8fe2c,
+    0x8ed7140e, 0x103b16c2, 0xa08c5503, 0x5424887d, 0x0dac4eb3, 0x411f9c71, 0xc879e354, 0x50d82f05,
+    0x64e1df95, 0x57f321dc, 0x32d17f2c, 0x4b5d7bf6, 0xaa989bcb, 0x9d1b7f85, 0x9c769ce2, 0x2150d251,
+    0x18b468b0, 0xccc0b1c4, 0xc4d2e51b, 0x2473cf91, 0xa803529b, 0x4450008c, 0xb125f5d6, 0x4f1737a8,
+    0x6f322007, 0x301353cb, 0xa1354ec4, 0xf305b56f, 0xb536f747, 0x2cdc9581, 0x4b15753d, 0x090246af,
+    0xf304ffdc, 0xbd80bef9, 0x3063f0e5, 0xa86a6fbe, 0xbdda1b9d, 0x49cda873, 0x1d524cb4, 0xabe2ed09,
+    0x9a821540, 0x084bec34, 0xaa6a8c86, 0xb97675a4, 0x47318eaf, 0x43f4e070, 0x9afde7cd, 0x9ed043ad,
+    0x4afe3379, 0x395381fc, 0xd520d9bb, 0x3dadef07, 0xd9fb67a5, 0xee22c712, 0xe40add36, 0x2ec840ac,
+    0x5a83ba00, 0xf86ed91f, 0xbe07b6bd, 0xf2452a21, 0x34a06db8, 0xd847d1a5, 0x359e1bc7, 0xa144e88d,
+    0xa89c9edd, 0xc0b30c70, 0x245760fc, 0x757a06fb, 0xaaeecfee, 0x721854da, 0x598f2586, 0x516f3ec5,
+    0xcda4e7ca, 0xd77a2d0c, 0xee6aba64, 0x843ad1bd, 0x32b91e78, 0xcf07f46d, 0xf7909b89, 0xe5c46352,
+    0xfb66ff5d, 0x40a4c22d, 0xbdb51b6e, 0x2b69ef9e, 0x84e75576, 0x55efab85, 0xc283ce7c, 0x89936c7d,
+    0xef56f0a7, 0xa9f1d4e0, 0x5dbee5e6, 0x0b3860ac, 0xe80e4820, 0x888d7e12, 0xcfd4e5e0, 0x9ccd7f33,
+    0x1121bef8, 0x4ceca8ac, 0x2feafac4, 0x643d0632, 0x1cb435e7, 0x4f3c8279, 0xce03af0e, 0x2b71a7e3,
+    0x8cac1fe8, 0x8fb74fc6, 0x4ca3c2d3, 0x40bccc3a, 0x38e7464d, 0x6c3c2bb5, 0x30005097, 0xdad6cd16,
+    0x5eed51c5, 0xb2674a43, 0xc5c8c8e3, 0xb9c3ff1d, 0xfa8a35bf, 0x40205359, 0x964fc609, 0x842491e6,
+    0x48ef96f9, 0x09a62070, 0x945eecd1, 0xc3a2ffe7, 0xbfe58996, 0x797f9d1f, 0x1f8048bc, 0xf7baec06,
+    0x19e03b04, 0xd23b66d4, 0xeb14eb04, 0x36a448b1, 0x2f6746f8, 0x304e8451, 0x534d1591, 0x5af34fcf,
+    0x2bdc5104, 0x1dd56866, 0x81aa6d78, 0x2ec05c63, 0x9a11069d, 0xc65b96da, 0xc11d873d, 0x49a59c2d,
+    0x1b59373c, 0x19695c09, 0xb7d03ca6, 0xae8ac8a9, 0xe7ed1113, 0x41401581, 0xc28b412d, 0x82f85a88,
+    0x62a30968, 0x6bd73656, 0x80814e6c, 0x409abb35, 0x7b976240, 0x63951508, 0x396a1032, 0x408dd50f,
+    0x48a39a6d, 0x40b43692, 0x125ca139, 0x19521b27, 0x4e2251b0, 0x1614400b, 0x8799b535, 0xe72786dd,
+    0xc7f5238d, 0xbe5cc2da, 0x36641240, 0x39c6d3f2, 0xf499a16f, 0xb0f78217, 0xecaca09e, 0xdeeb6b77,
+    0x0f8c5a3b, 0x0b02e543, 0x9c98fe67, 0xf37626b2, 0xbf01ba25, 0xf418752d, 0xc557d15a, 0xccf86c8d,
+    0x4ad94f4f, 0x40b77363, 0x812a3608, 0x23d580da, 0x4063bfaf, 0x9f2ea0d1, 0x6fc4f5a5, 0xeb711cf2,
+    0x3d1e309c, 0xb1f4e0e1, 0xe950dae7, 0x308eb1fb, 0x4fce7f0a, 0x502c2bec, 0xce771df7, 0xee16fe5f,
+    0x60d979e6, 0x5dcc7e6f, 0x8a6de3de, 0x7754c116, 0x6194ba32, 0x57bfc8f2, 0x65d9c5ad, 0xd5a6aeb8,
+    0x1fd22ac8, 0x1681edd7, 0xafc815d8, 0x670264ae, 0xb23cb0f6, 0xecd6e5e2, 0xa6120a76, 0x2c22dedb,
+    0x1ec4d0c7, 0x7426fcfb, 0x8d486804, 0xd4b5640d, 0x8c8e7b84, 0x4a18abd0, 0x3828c040, 0x7f613890,
+    0x08db2c33, 0xb9341a68, 0x7eb8d244, 0x7bb6efdf, 0x551ebcaa, 0xbc62c6ae, 0xd4d37dd8, 0x0a06eded,
+    0xdd3c79b1, 0xaf38a287, 0x491cb6d4, 0x19d4ae7f, 0xe532bf91, 0x4fac78d9, 0xfdc0304f, 0xcb8f584e,
+    0x565f96db, 0x60b78056, 0x934402ca, 0x3dea3dee, 0xde9734a2, 0x21c65c6d, 0xc74bdb4b, 0x23eecc6c,
+    0xcba12f15, 0x6dcae0ed, 0x84bbdc1e, 0x05355b60, 0xd02c2d7c, 0x4a9eb3ef, 0xae99fb2d, 0xf16e1838,
+    0xbdfc16d4, 0xd4712804, 0xe10bc555, 0xb3173c6e, 0xdaa9742a, 0x7e588d52, 0x76173e45, 0xe3846f4a,
+    0xad6114e2, 0x0dde9a46, 0x010bd592, 0xbc403a38, 0x4e40298a, 0x601061c9, 0xc480b022, 0xae7551f7,
+    0x4a60a1f7, 0x125747d2, 0x0e12cfee, 0xc62c07e8, 0xec214ca6, 0xe88dfc7b, 0xbeba5b3c, 0x03cad5a0,
+    0xc5e41bef, 0x28e13f9b, 0x5479669c, 0x87c7da41, 0x5049f6c2, 0x2abcb38b, 0x0be987cd, 0x306e280f,
+    0xc33790ba, 0xbb98d0e8, 0x9379cadf, 0x08a8cb87, 0xcb3e3cbb, 0x5d6a4ee5, 0x19867adc, 0x154a9a36,
+    0xb5766ac5, 0x1f260224, 0x9be469d5, 0x0bdcc458, 0x809af879, 0x02b2a02a, 0xd0b3634e, 0xa259a64e,
+    0xca229105, 0x07074725, 0x06d80eb0, 0x5fdff170, 0xc9cf000e, 0x5a442d68, 0x02216957, 0xaecaee9b,
+    0xdb8a78a0, 0x93658acb, 0xa4568c95, 0xe9f64ee3, 0x840e7096, 0x2a90789c, 0x62baa7f2, 0xc106fddc,
+    0xa5a7f962, 0x728bbc54, 0x5a27fe08, 0xe9d1ce31, 0x26621ef0, 0x56913a30, 0x0840afe7, 0x3e30353d,
+    0xfbe7216e, 0x6df2b210, 0xe89ca73f, 0xf6305da0, 0x2b70fd4b, 0x5ff549f9, 0x14486460, 0x1a0a13c0,
+    0x4050ba52, 0xdf7d582d, 0x650f4fd7, 0x9db7f526, 0x3a4b811e, 0x8ea0771c, 0x746f21d3, 0x18765e77,
+    0xfbc102c7, 0xe4bb4148, 0x34894a5f, 0xa749795b, 0x64238efd, 0x17e690c1, 0xa8d7f26d, 0x3a8097bf,
+    0x2c7f16af, 0xf2ed6b9f, 0x6d2f073f, 0x16e15467, 0xf44c8183, 0x5edf0f5b, 0x7689fd0b, 0x4c0c2687,
+    0x833b8292, 0xad4b27e5, 0x91842fb2, 0xb35c2536, 0x0a916c99, 0xb5a789f8, 0x737e3563, 0x3a850ee8,
+    0x64e47aa9, 0xefb9cede, 0x1a0d7f17, 0x5384e8c0, 0x959868cc, 0x858a49e7, 0x539ad4f6, 0xe3a12c28,
+    0xb8dd6582, 0x2be3bb78, 0x97575fb6, 0x2d8124d0, 0xa18107b0, 0x57c132fb, 0x458ecf5f, 0x25eac284,
+    0xb573d51b, 0x9e339586, 0x01cf88a1, 0x78b70a93, 0x7ff8b97b, 0xb21a9309, 0x0a1e4982, 0xc5abdc24,
+    0xd0e72f78, 0xb7224291, 0x1ad9e5f4, 0x213ba904, 0x2f7a2fd5, 0x641d1d77, 0xcafdeea2, 0xd49dcb97,
+    0xd4e52362, 0xf9b5fcf8, 0xe6893f78, 0xad2d79d9, 0x10a97474, 0x33205c72, 0x233666c4, 0xb5bc822d,
+    0x8895a9d7, 0x4afba5f8, 0xcd6bb58f, 0x12dfe845, 0xdf3a0b7d, 0x9841e324, 0x47474fb0, 0xfb4b4966,
+    0x997d5117, 0xf8b56d67, 0xcb8d4158, 0xa4f477c1, 0xa7b78fe8, 0x023216da, 0x7bc465f4, 0x2f811d9c,
+    0x993b0969, 0x804f2eb5, 0xcdbf31c1, 0x563a8875, 0x4a72ac49, 0x4fb58fc9, 0x690723fc, 0x0422cc63,
+    0x93efe7ee, 0xf7b911ea, 0xc7ea4c61, 0x9c023895, 0xd5b92afa, 0xd0051032, 0xd7f795d7, 0x08374e47,
+    0xe838c394, 0x4c064603, 0xfa43e877, 0xeae3d0d7, 0x55ab3edb, 0x2b1a1674, 0x8917f6ae, 0xa6a85571,
+    0x8ed94c5c, 0xc30f52c2, 0xeb3748bb, 0xbfc77d00, 0xf4ff3c0b, 0xf7f080b7, 0xf0af38dc, 0x00d73195,
+    0x5461567b, 0x21679245, 0x50205ffe, 0x31c820c0, 0x00f8aa54, 0xfdc06bce, 0x42eb95ea, 0x99fcbf2f,
+    0xde76d1e7, 0x272f0a38, 0x974137d4, 0x4df3c341, 0x6070f5d1, 0x58642639, 0x6341f451, 0x2bfbda6d,
+    0x0c0b6b49, 0x7d1c233e, 0xe3164279, 0x70bae498, 0xa0c0d96c, 0x24aebc11, 0xa2df276d, 0x5df10ab7,
+    0x1cd39b77, 0x6a0e52dd, 0xa589c8e8, 0x82243d00, 0x9f727506, 0x28bef529, 0x704855d1, 0x2355595d,
+    0xe1ec087f, 0xd77c4744, 0x225a0d32, 0xc18a3154, 0xb798d4a0, 0x7ea98e01, 0x847ee3ae, 0xdd8b5e52,
+    0xbce9f771, 0x23b03eb8, 0xa516bac5, 0x92a67e44, 0xcaa0a7a0, 0x5cb5a778, 0x9d1a3ff2, 0xaabdb89a,
+    0x0b09580d, 0xd7950bad, 0x57f92da3, 0x3aba904e, 0x52b91ea7, 0xef27f30f, 0xbf229485, 0x29e0ed6f,
+    0x97eeeb53, 0x43e506ee, 0xf7cda007, 0x7396a85c, 0xf1d9ea39, 0xe6f4d923, 0xbebccabb, 0x9ac953b3,
+    0x9e45f0ef, 0xdf2d8a59, 0xec37cecb, 0x48aa35ed, 0xa36e29c6, 0x41705f3d, 0xcc637287, 0x88c81548,
+    0x89ec3e9b, 0x813a34a0, 0xa6e0ef29, 0x616d1fa4, 0x84706d40, 0x0956ee3a, 0x04331513, 0x594394f7,
+    0x8d0ec584, 0x44374cba, 0x82899e80, 0x0ac86d29, 0x1dc3549a, 0xd26c542d, 0xba8eeee5, 0xf61d2de2,
+    0x01058f40, 0x6cfc6b75, 0x7c28e0f0, 0x4f0b70b8, 0x7dff9cc9, 0x641e7243, 0x5fc459a3, 0x8379da35,
+    0x968c154e, 0x6d10121d, 0xf7793d49, 0x1fd67967, 0xa94c36fe, 0xad1a95c1, 0xcfd215bd, 0xf050b771,
+    0xc340a4c6, 0x8d8e3fca, 0xe69a523f, 0x658ec5bf, 0x8e3df4d4, 0x3cec4c73, 0x85ed6de6, 0x0a2606f7,
+    0x8947da59, 0xd08b06ee, 0x5db71c71, 0xe15ba89d, 0x6d65d3de, 0x25e51db8, 0xf503af9a, 0xae1fe403,
+    0x0a1f959c, 0xc9417478, 0x8eaa9e4b, 0xe10fb814, 0x4f7133e3, 0xdfce164a, 0x01bacb79, 0xfce7c702,
+    0x478511fa, 0x7a30322f, 0x3af23382, 0x7cb71b03, 0x2caa3901, 0xe9246f9f, 0x9e634c04, 0x829adbd0,
+    0x47b8042e, 0x4cd8d451, 0x87a312a0, 0x222fbc11, 0x1adbb3bb, 0x4b116d39, 0x716f2b4b, 0x9357358a,
+    0x24553568, 0xebae00ea, 0x3b3d2f4b, 0xc263a5db, 0xf773ddb4, 0xdaf22596, 0x5e0141cc, 0x06d1bd39,
+    0xa6b4366a, 0xa76d0a1d, 0x516cf0be, 0xe55ce19f, 0xe47a9098, 0xdb4cce72, 0x93044b13, 0xca27e924,
+    0x570df41a, 0x924985ae, 0x8b8ded9e, 0xb51b2431, 0x6a5f892a, 0x68bd6007, 0xdb23b6bb, 0xb497c503,
+    0xc41833da, 0x1a102254, 0x71d258c3, 0xa773a119, 0xf5e849a0, 0x737ba87f, 0x3df474dc, 0x56656824,
+    0xa3e9428b, 0x507ccf0d, 0x1cbce989, 0x53a60f81, 0x1f1de162, 0xbf2d7f25, 0x41b1f18d, 0x1e0ab113,
+    0x551e7130, 0xfda3dfa9, 0xd7bd6fc1, 0x2faa5575, 0xccc1318e, 0x58ba6c37, 0x1103d1ac, 0xc3852303,
+    0xed9d6d5e, 0x209a3702, 0xc57c5110, 0x92731f6a, 0xf3b1b91a, 0xf290ef4e, 0xd5aeebb8, 0x9f92458e,
+    0x495fdba0, 0x24b158c3, 0xf4a87a60, 0xd5968971, 0x7412e0e6, 0x0c4d69ee, 0xe1a7c130, 0x1454ad55,
+    0x3bdcfc26, 0x9b6eecdd, 0x82bba809, 0x8d7b5740, 0x165680c0, 0xa2715b2a, 0x3c6ca478, 0x9ba65d95,
+    0xd21c5c4e, 0x3717a556, 0xf74f5c8c, 0x007ca44e, 0x0c06ad3a, 0x62604112, 0x39c633a2, 0xca40aeaf,
+    0x1aa301cf, 0xc0cae54f, 0xfe95ec22, 0xa614e964, 0xb265ad5e, 0x110c3326, 0x9a014dc4, 0xaba43520,
+    0x4bb86ae7, 0x726645e5, 0xcd97773c, 0x507aaaf2, 0xdf73bf42, 0xbfcf0d71, 0x31333741, 0xf6a9abc6,
+    0xfdd086c0, 0x5484f8e2, 0x9f58c468, 0x13766f4a, 0xf1eb0212, 0xf581eb2c, 0x63d24a36, 0x6276c8c4,
+    0x21fd4aa5, 0x3f16cf3c, 0xacf8baf2, 0x9789195e, 0xe1906356, 0xe6566455, 0x35f14892, 0x49dcec0f,
+    0x90caddb5, 0xa3614370, 0xd2937b10, 0xdf5b31b0, 0x5c4c9eaf, 0x1d204ddc, 0x32085c5a, 0x78d87708,
+    0x41fd7d18, 0x7239e688, 0xb4d04fc5, 0x9016ffcb, 0x46180cf8, 0x0200b69b, 0xea844ffd, 0x75621796,
+    0x359f70d9, 0x23e812d3, 0xbf61e1da, 0x75f1bac6, 0x3a684a6e, 0x4b34d711, 0x8c8e1e69, 0xf02dfb8b,
+    0x1124dc51, 0x7e189744, 0xf40f2e0a, 0x4b903f63, 0x1db720d5, 0xe143017d, 0x77b882d0, 0x884fc62a,
+    0x59380864, 0x0b7dc50f, 0xda4bdb2b, 0x1c8bb554, 0xd1e0194d, 0xae3b9fd8, 0x216a8788, 0xcaefc5d7,
+    0xc56821c1, 0xaebd3c95, 0x2cbb6a98, 0x19113a00, 0xdf32088c, 0x9d98fea2, 0x13bd55a0, 0x9084b573,
+    0x41a58a25, 0x6b550a67, 0x8d8792bd, 0xa985a9e6, 0x68f5f788, 0x7b217d1e, 0x30bb1c09, 0xb06dbe74,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000035184372088832 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003526, 0x9e12f345,
+    0x00000000,
+    0xec81a5f2, 0xeb040452, 0x968172ee, 0x74fe9672, 0x30da0ba8, 0xa792d83e, 0x9362a44f, 0xa67efa61,
+    0x78803712, 0xbffdd227, 0xdb6cecd4, 0x5f345467, 0xee084a72, 0xc9ddcbc7, 0x0687ed76, 0xd8db332f,
+    0x2e786175, 0xa0cfe713, 0x359f5f21, 0x56f1e7d3, 0xc290e83b, 0x430635aa, 0x17a037de, 0x23805cc8,
+    0x978717bd, 0x5072525f, 0x74f01205, 0x9b61af16, 0xcbdb4287, 0xfe8a0232, 0x0adafaa0, 0x25efe2b5,
+    0xf78e0a5e, 0x19a6a152, 0xfb7c8e08, 0x3f5ca953, 0x065fb9a7, 0x65be61c5, 0xa6c4303e, 0x0e2d8be1,
+    0x2fcc5b68, 0x86876fcd, 0xf467b920, 0x180f5eb1, 0x90125470, 0x55060231, 0x7fc4f2aa, 0xc4e0274b,
+    0xdf51ce37, 0xb0a4d39e, 0x39cbe629, 0x17d62da4, 0x21178008, 0xee61c73e, 0x56ebcc29, 0x526d470d,
+    0x1ae3605e, 0xde9a8235, 0xa9c79756, 0x17e4f4ee, 0xb6a9e86d, 0x01d41d89, 0x357dd2f9, 0x2c5229f2,
+    0x43bc1e20, 0x7d16650e, 0xeebc3997, 0x24921139, 0x14a487a3, 0x78d95ac2, 0x0b670d12, 0x1e000246,
+    0x5b510340, 0xa7a2fca6, 0x0e81b5e9, 0xde52a764, 0x6f8405fb, 0x6f9a019d, 0x52980563, 0x237f31cb,
+    0xab8994b2, 0xa1a347ae, 0xe38f0e36, 0x3ff9a4cb, 0x06bb2290, 0x112c8fef, 0x02032ffc, 0xf1c95452,
+    0x28446743, 0x56a8b381, 0xbf887fbf, 0x2a681719, 0x2eff4f9f, 0x86661a68, 0x505da841, 0xcf70a4ed,
+    0x7531668b, 0x27cefe01, 0x36776880, 0x6585d2a2, 0xb5184fd4, 0x49d1e4a5, 0x76cb0edc, 0x079781b0,
+    0x0b391f93, 0x0a1b4e57, 0x15f2d475, 0xb54bd1b9, 0x04650dec, 0x79fb196d, 0x50fc9a98, 0x5e50dd52,
+    0xd2b56c19, 0xe8a7d6a4, 0xee1e7244, 0xbf08a1dc, 0x0550282c, 0x4278fe02, 0xd2e6f920, 0xe77f2532,
+    0x6b6d8054, 0x4f80db37, 0x7c85db4d, 0xc5e8891b, 0xe0985863, 0xdb161737, 0xb5a032a1, 0xf13f41d2,
+    0x47db09a7, 0x7d54c089, 0x96e90c90, 0xba010e42, 0x5010e573, 0x237a1888, 0x16f80d2e, 0x81c1f79f,
+    0x42c62b72, 0x5acf3865, 0xeff5d198, 0x0f02a68f, 0xa6eb95d4, 0xf680082e, 0xb98cabf4, 0xbbf80495,
+    0xf1c7c77d, 0xb84913b8, 0x57162b3f, 0x5bf9b233, 0x48ba132e, 0xd4190ac2, 0x57f74de0, 0xdad0a744,
+    0x2ef5240c, 0x0402b75c, 0xa1722afb, 0xbcae45c3, 0x8fb8f5f8, 0x00ddd026, 0x99ad5281, 0x0cf7e849,
+    0x3769ad09, 0x92fbda57, 0xd7bd98e8, 0x971e7349, 0x8de60357, 0x3119209e, 0x687fa8b8, 0xf7b362ea,
+    0x2c37f29b, 0x17866f0c, 0xa0d02e15, 0x299b5098, 0x48e58d5c, 0xca484b6a, 0x8fff080b, 0x6e031d4f,
+    0x36c2c84e, 0xb14c5c01, 0x3076cb02, 0x108489ca, 0x80644d30, 0x2d854b60, 0x8a8bc73a, 0x0f1d5d20,
+    0xe05cfb02, 0x0580c887, 0x3171c3b8, 0xdd71bae7, 0x840360a3, 0x24dc9ab8, 0x3acdf58e, 0x6257b535,
+    0x25c2e496, 0x373f2e10, 0x5a751068, 0x73ff74c5, 0x9ae1a873, 0x9fc70832, 0x70e91827, 0x11ec250a,
+    0x8896fce9, 0x4876fc83, 0x3629bb7f, 0x35e76439, 0x39c9c887, 0x8e610632, 0xf40860a6, 0x32b2f71e,
+    0x03da26c8, 0xb67b879a, 0xbe7fe5c9, 0x246d8197, 0x002c853e, 0x1901aca1, 0x8bde016d, 0x1818e088,
+    0x7b1508e3, 0x0c57c142, 0x6efc02a7, 0xa80416a4, 0xdc4c0af2, 0xa5616f74, 0x04592831, 0x9708d2a2,
+    0x7b1ceb99, 0x129575a2, 0xa4e82f4e, 0x06bacc36, 0xf9afab77, 0x3c09ea43, 0x34619849, 0x41ee79b6,
+    0xb576bea1, 0x0510b58f, 0xa9910f09, 0x72af258e, 0x59a42c5e, 0x274e8c77, 0x9e3222c7, 0x1fb8c40f,
+    0x1f11a547, 0x4d21003f, 0xf63755de, 0x32212b27, 0xfb116fa6, 0xf10e548a, 0x76a0856c, 0x7e2d333e,
+    0x4623686f, 0x1cd98444, 0x45e73308, 0x3c757ef1, 0x7b5b33e8, 0xb7027dd5, 0xc9226ae4, 0x7c766d61,
+    0xad332722, 0x1d55e72b, 0x35508ef1, 0xf012e569, 0x34a79fb0, 0x9377315a, 0xcd00aeaf, 0x388a9d5f,
+    0xd10a1386, 0xfaa9b185, 0x864ec564, 0xf2fa26de, 0xfd8d011d, 0xf0b2dc87, 0xd194c560, 0x1e27a032,
+    0x3357bdfe, 0xfee1673b, 0x97d10d18, 0x7bc17eed, 0xf1514c3b, 0xc6d85170, 0xdf796c34, 0x655e24fe,
+    0xd85596b5, 0x59ca41ea, 0xd63e31a0, 0xf3776043, 0x30c945c8, 0x653d6711, 0xd5629f1e, 0x7be55a8e,
+    0x2b3d8abb, 0x62a6cd6a, 0x91b3031a, 0x829ce3ff, 0xc7cfc910, 0x83b3608a, 0xacfd027c, 0x372bb2e9,
+    0x899f87a7, 0x88ea79a1, 0x33cf6615, 0x92916479, 0x6f2b1579, 0x741e2b33, 0x5a9bb207, 0xfdde12b3,
+    0x75dc6050, 0x9549bd64, 0x08d22961, 0x40b129d3, 0x92d86c5a, 0x77694b2c, 0x433cdaca, 0x9aed052c,
+    0xaa00f30d, 0xb5ca9e48, 0xa498ad85, 0xfbc25702, 0xb2fe5f23, 0xdcd08f9e, 0xc6f71f1e, 0xaa6c173e,
+    0x2059a4cc, 0x5242bc92, 0x174fdbc5, 0x59fdbaf8, 0x92d28be6, 0x3af5ce41, 0x617cc631, 0x21a0f817,
+    0x9d3b10ae, 0x704f52a0, 0x6cf2c4cf, 0xbc3ab51e, 0x7bd872b0, 0x2c85bc7a, 0xcdab5356, 0xbbe145d7,
+    0x2f6dd15d, 0xe9d6e5e3, 0x95ee0aef, 0x977de985, 0xf77a1a41, 0x2e644a4b, 0x12514943, 0xe66d5b71,
+    0x36bd3909, 0x02978659, 0x87f153a6, 0x76f53d02, 0x2119c2c8, 0x926fe453, 0x6745ffa3, 0x45fb5483,
+    0x199dad9f, 0x707b97ae, 0x01343806, 0x453bea28, 0x50a28d10, 0xfa407a82, 0x0ae1efb2, 0x3ea956b4,
+    0x252d5cec, 0x5a86f1fd, 0x585c6444, 0xdfef12a1, 0xf00d94a4, 0x4a11d67a, 0xf0f15936, 0x6ef597e7,
+    0xa14e3dd0, 0xd4cfb8e3, 0x816edbf5, 0xe88cf500, 0xa636623c, 0x1db612aa, 0x264d2fa7, 0x435fd0e5,
+    0x864fec85, 0x7c6228c2, 0xa7c68258, 0x6ed19c15, 0x0fd2f137, 0x67083b31, 0xa6aafab0, 0xb711dc98,
+    0x04c85199, 0x4b73714a, 0xa870c1bd, 0x462f5d59, 0x5e21a301, 0x9d5646bb, 0xd005cd50, 0xbca8cc88,
+    0x5d683e2e, 0x962d11e6, 0xbd3cfc16, 0xaaafa48b, 0x215950eb, 0x360a060a, 0xbe417f77, 0x8dbbc8b7,
+    0x1b922499, 0x0eb6a03b, 0x91a3ca32, 0x804ce0e6, 0xfe976772, 0x5c2e4b83, 0x38c62a19, 0xee110cd2,
+    0x442d3aa2, 0xf14ed2cc, 0xc11f7f2b, 0xe97c8308, 0x79985634, 0x0ab6fda9, 0xd0d077ff, 0xdca5288c,
+    0x9a3c3ef0, 0xb9be4314, 0x36109574, 0xfa8c8f12, 0x3446b901, 0x2da2e3d1, 0xccec9bed, 0x4f644fce,
+    0xcf938baa, 0xa7dad04a, 0x23a7aef6, 0x7e4f1856, 0x505e2799, 0x9d58a662, 0xe7a2ef7b, 0x56ad69ca,
+    0x0cea4ace, 0x21ccc99e, 0x8f4f2250, 0x876a5db2, 0xaea49c9c, 0xfc374107, 0x90da7338, 0x5dfeeb26,
+    0x6e41f36b, 0x0b4d3b10, 0x5a8ae5a0, 0x53fd8ce4, 0x7ddb7f99, 0x7bc96e90, 0x83ed2332, 0x039e24b5,
+    0x843a093b, 0x144f5c0f, 0xcee5620e, 0xef9de469, 0x8bf933c7, 0xacd7c765, 0xd083e37a, 0xfc0302a4,
+    0x27224581, 0xeb1d5482, 0x2e7af737, 0x40aab794, 0x48eb840e, 0xbe277810, 0x00cd87a5, 0x5510db39,
+    0x278e23b5, 0xb39fb8e3, 0x60a47855, 0x69e4a491, 0x92180645, 0x08435a11, 0xc8c001ec, 0x6cbfe7fb,
+    0xfa0e1626, 0x2e3519e9, 0x0e16b26d, 0xfd5b49d2, 0x926297b8, 0x48120bf0, 0xb0af4393, 0x660c19ce,
+    0x89a9963c, 0x4a6f3464, 0x0d3cfe16, 0xfc070607, 0xd1defdf8, 0x55634caa, 0xd603dab3, 0xda1844b1,
+    0x95827000, 0x07d55c1a, 0x98c81de6, 0x6f41af9a, 0x63ff13ca, 0x8cb8aa3a, 0x536e2455, 0xcbae31c4,
+    0x206bc23a, 0x8ecb7d6d, 0x6e24750f, 0x04054bb0, 0x7278de40, 0x4866760e, 0x4bcedff7, 0xf06e58e2,
+    0xfa5b079f, 0x4273d81d, 0x3ee7bfdf, 0xd7d3528d, 0x76cb263a, 0xbb043a0c, 0x2176190d, 0x759b476e,
+    0x5e416dbd, 0x83b7be35, 0x7e72c442, 0xe64741c3, 0x05796c13, 0x2f54d4b9, 0xdc78003d, 0x99230195,
+    0x8e25eb37, 0xbc3817ee, 0x5d3e4421, 0x9d53314c, 0x77e9467e, 0xf5b10670, 0x26d97e8c, 0xc81706a4,
+    0x7270123e, 0x31c7faf5, 0x2babbba5, 0x60bb21c6, 0x03e10d6b, 0x99c0243c, 0xa04891c0, 0x83b1d431,
+    0xaadfacd0, 0x9008d959, 0x81e2eb27, 0x48f917e0, 0x453159ca, 0x729225fa, 0x8c1fa15a, 0x9bf82a80,
+    0xfb9eef3a, 0xfed7a151, 0x0fe264fb, 0x096bec3f, 0x514daf5a, 0xa22856a1, 0x57b2978b, 0x283ab6ba,
+    0x58d8464c, 0x7dea89ae, 0x4e2db7fe, 0x3ff299db, 0x5cf6c9ef, 0x53716a66, 0xf4912139, 0x1373720a,
+    0x498ea492, 0x9e3fcc60, 0xc643ea2c, 0x0a613e87, 0xe55da665, 0xff110ca4, 0xd9064018, 0x67e6a189,
+    0x39f9ccd1, 0xdff9f12b, 0x9b2b59ac, 0x20cc275e, 0x0c7d3b55, 0xdba20de6, 0x208757b8, 0x4234e160,
+    0xce6d6131, 0x9bea400a, 0x586ee3bc, 0xe1633a23, 0x27955888, 0x31bdbb99, 0x09213bd2, 0xd45f236c,
+    0x5c5fae2a, 0x03cab876, 0x003cccfc, 0x5cd961e1, 0x322d1b2d, 0x490901d0, 0xece646e4, 0x141613b9,
+    0x67500d12, 0xd633d28c, 0x2c455c4d, 0x6b60dc49, 0x308d8277, 0xe44a6ee4, 0x11d0da37, 0x64817b4d,
+    0x79a2fafd, 0x35c9cbb1, 0xb61f7971, 0x1b4a0cad, 0x0a68a9bd, 0x6eb9df42, 0x6068ef81, 0xa49f15a2,
+    0xf9f04337, 0xdfccc079, 0x9fb3f195, 0x476dcabf, 0xec39ade9, 0x3df7db48, 0x660f273a, 0x37c65e55,
+    0x29b7a119, 0x90c0d2f7, 0x1c74cda7, 0x637f69f4, 0xb7565131, 0x5e77ac33, 0xdf7a83bb, 0x09738a92,
+    0x00dd473b, 0xfe9676ff, 0x934068a2, 0x5dd8071c, 0x38bb8dd7, 0x56ad25b2, 0xae552a6b, 0x1a25dcb9,
+    0x780e5de8, 0xffce7914, 0x512e246c, 0xc40a8b56, 0x61736cc6, 0x9fb43265, 0xe50fb411, 0x493b36ac,
+    0x4f75dd0d, 0x39408b15, 0x77f36106, 0x9fc35830, 0x3fa500fb, 0x00fa7f39, 0x72f0adec, 0x955c1784,
+    0xde9a7773, 0xe93a7a98, 0x5515db8d, 0x1496cfba, 0xc5adc328, 0xa9a9d749, 0x2f9aa85a, 0xbf3a8f24,
+    0xf70e0729, 0x9b84a2dd, 0x34c3d4f2, 0x102b37cc, 0x9b6cc3f8, 0x2af8170b, 0xd777851e, 0x6594904c,
+    0xe061fc69, 0xe685fac6, 0x261d7f14, 0x03e8d9ec, 0xb826c19f, 0x8890eeef, 0x579c8106, 0xd0a82846,
+    0x8190b072, 0x153d89e1, 0x12792f8e, 0xa333ea8b, 0xf800247b, 0x90a1086b, 0xc24dfa6b, 0xce2299cb,
+    0x112113e8, 0xf27e9ba7, 0xa039ffb0, 0x8b8f6775, 0xf8c9b34e, 0xbc8f0579, 0xe6792097, 0x9e4b0898,
+    0x34f92244, 0x04118b8b, 0x424f177c, 0xc4b6e652, 0x3a8b771a, 0x4d9eed0d, 0x266253fd, 0x85bda356,
+    0x34687e46, 0x5902d78e, 0x1654ad26, 0x9779ca46, 0x7e0f99bc, 0x5778f71f, 0xf193c29f, 0x230c69a9,
+    0x5ddbdb94, 0x04f279b1, 0x6f1d38c3, 0xf0f1d996, 0xc0523bcc, 0x080ffc68, 0xbd155d1a, 0x0414bc70,
+    0xeba6fd10, 0x77f68ff2, 0xed6e61a7, 0xa7b0d4d5, 0xa6f8789c, 0x664e236c, 0xd1b888f5, 0x0932d513,
+    0x4421fa6e, 0x5601d36d, 0xcb7ff888, 0x3fbfe134, 0x57aa8d4e, 0xd440a035, 0x4f97a4a3, 0xabfe6a53,
+    0xa911ea29, 0x419213f4, 0x87051f81, 0xf9b99b05, 0xd6ff54df, 0x2d42b25e, 0x1a605c59, 0xf04d1221,
+    0x3c74d448, 0x11bd878e, 0x05cdd394, 0xcb9f7218, 0x15de5a2b, 0x44f0d2a9, 0xafbdfafa, 0x9715de2e,
+    0x0a4732b7, 0xd9153927, 0x906beab5, 0x0db61736, 0xfa764e8f, 0xe5baf9f3, 0x2c076501, 0x8050d403,
+    0xdb2a1230, 0xe0f71532, 0x87ae6f88, 0x42cd1749, 0x664c2793, 0xe919df41, 0xab039b89, 0x5ecad9c1,
+    0xb23e8d39, 0x07c69ac6, 0xa3914f5d, 0xeabae4d0, 0x53853efe, 0x833e7fff, 0x66c8b15a, 0xa4a4b187,
+    0xae4d7eb6, 0x93e06cf4, 0x195d181a, 0xc2bd439b, 0x509ce112, 0x4275ea98, 0x793baf49, 0x1f161abc,
+    0x5ec573c6, 0x7562f329, 0xeb843a99, 0x9826911f, 0xacf0926f, 0x9d9eab9a, 0x9c87960b, 0x2d316854,
+    0x866392f3, 0xadd0ac68, 0xdee305c1, 0x58d2cfa3, 0x7bfc8e5e, 0xa9344e36, 0x7590e0ba, 0x436689b7,
+    0x433f8dd4, 0x778dd90d, 0xa89723c3, 0xe06f23f3, 0xa47b8383, 0xcde6b5b2, 0x689292ee, 0x8f7bb072,
+    0x5869c0d0, 0x20dfc101, 0x5bc07748, 0xdbb2aa40, 0xdbc39ab2, 0x9c55405a, 0x18e846c7, 0x3b1513de,
+    0x227e5471, 0x1ce8e3a1, 0x49e8207b, 0x0353cb69, 0xdc2107af, 0x952e48ed, 0xc6eedcdb, 0x346c4477,
+    0xfa3c4496, 0x19029b9e, 0x4d98a0a4, 0x35ba5988, 0x77bef138, 0x1c0475cd, 0xd5dbbc23, 0x0829bbd0,
+    0x42cfeef7, 0x59ca8e80, 0x75b332a2, 0x9ee1bb9e, 0x1c735bb7, 0xdbb1378d, 0x154ea065, 0xf39ddc9a,
+    0x590c6ac7, 0x13069cb4, 0x1ae86230, 0x95331de1, 0x9da01e53, 0xc4e3cfcb, 0xe7311774, 0x9998eade,
+    0x9a9d8726, 0xca69d96a, 0x1079a1e2, 0xcc72bc1c, 0xdfd523b5, 0x8b62852d, 0x38f09329, 0x5b7c0398,
+    0x4843f429, 0x21741aeb, 0x934c6c92, 0xd3907d2e, 0x27b8cf61, 0xac1cda82, 0x6632d74a, 0x635e9055,
+    0xa6664361, 0x6e19d98e, 0x3c706c8d, 0x89b5a30c, 0x36572e6a, 0xfffebac4, 0x5285bd69, 0x38dc5b28,
+    0xdb299de0, 0x0a20f562, 0xed8b30f9, 0xc3e05901, 0xbf07fa20, 0x203595d9, 0x156bce9f, 0x41808da8,
+    0x9f940d43, 0x400360c1, 0xec8b06b3, 0x214dfa10, 0x67cf61f1, 0x3fb40b52, 0x4019321d, 0x9e7413d7,
+    0x344fddf9, 0xd00f4a5f, 0x5a55dffc, 0xa6ceb7cc, 0x7f66ad64, 0xb4ae196d, 0x4956a23a, 0xe36d908f,
+    0x478a6d3e, 0xe4e5fd06, 0xca5a5824, 0x916eee2f, 0x2841fb63, 0x4b22092e, 0xf964ebbf, 0x855386f8,
+    0xc2fa98b1, 0xfa08dbd5, 0xe4faed04, 0xcbecbd9b, 0x16d28c65, 0xbbd67a9f, 0xb9f81b3a, 0x45dbb622,
+    0xa93ef645, 0x8d04e0e2, 0x51377c22, 0xb62cec34, 0xb2419de7, 0xb7a94385, 0xeb72ee9c, 0x89fe52eb,
+    0x235ff822, 0x86d00450, 0xeecd2481, 0x969c7d0a, 0xc553fc50, 0x2ccb3c77, 0xe8eed21f, 0xe714629c,
+    0x45ea3567, 0x82f9fd56, 0xb2ee9ca1, 0x68fcc2cc, 0x2e135530, 0xa1bc90b0, 0x1c335b96, 0x23e82ba4,
+    0xc647c78b, 0x0636368a, 0x2d5fd71c, 0xcba7236b, 0x169ecf07, 0xffe83715, 0x8abaf1ad, 0xd3d22c36,
+    0xd3b49b26, 0x4c62cc0b, 0xa051a57b, 0xa9c5e093, 0xf1df8003, 0x0b6339e5, 0x7d805810, 0x84510980,
+    0xb9350b75, 0x4c1d6375, 0x59bfb112, 0xcb0df55a, 0x51ec85da, 0x3c28917d, 0xade41fcf, 0x71dc9bd1,
+    0xbb433851, 0xbd711775, 0x6a668e70, 0x45b123a6, 0x4e64909d, 0x154e6adb, 0x79117b20, 0xf166de52,
+    0x2dd6e3b8, 0x934a6fb7, 0x9d303e75, 0x1a41d74e, 0xff0eb9a6, 0xcfc40841, 0xf481957d, 0x2ee575e7,
+    0x95960d01, 0x171b1785, 0x849f07d7, 0x5b27a3ac, 0x901d8732, 0x1369ceee, 0xbdea68c2, 0x8b53c2f3,
+    0x4fe3ec47, 0xd38b37f6, 0x8fb951e8, 0x094e3127, 0x4c4ff191, 0x38c6293e, 0xc7a9a425, 0xa8b42496,
+    0x998f0ddd, 0xd0696c75, 0x8810ab7b, 0x11d24c76, 0x4e40f4de, 0x51faf9a4, 0x814992a5, 0x83854501,
+    0xf9a7ab0a, 0x90926b0c, 0x8ae2ccb0, 0x5d4350e0, 0xbfe54b30, 0x4aeff757, 0x9f03baa7, 0xed68477e,
+    0xa55c9d2a, 0x7a073f3d, 0x52dedddb, 0x534fd44c, 0xf2162511, 0x09000788, 0x5c2bd054, 0x874034f8,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000017592186044416 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00001a93, 0x4f0979a2,
+    0x00000000,
+    0xadfda9e5, 0x84832526, 0xbf2f22d1, 0x7c3fe015, 0x6afae4bd, 0xb242008a, 0x3c473bac, 0xe7ef8307,
+    0x0704d770, 0xb1c6878f, 0x28a106b9, 0x47afb982, 0x535ece39, 0x4062d9f9, 0xaf6d8966, 0xfb689937,
+    0x831bced0, 0x733728a5, 0x1d63bcf5, 0x4f0041b3, 0xa90a1721, 0x6b529730, 0xd2bd2a62, 0x1c5196f0,
+    0x875626ba, 0xc35db282, 0x54c17214, 0x04d2ca3e, 0x486de893, 0x51ea9c98, 0x26d2df6f, 0xb8c1ad56,
+    0x0a5db094, 0x77132d30, 0x37461500, 0x536c909d, 0x090d4042, 0xc3256fe8, 0x31d70b2b, 0xfce0f158,
+    0x6923a92c, 0xc33a908f, 0x0d027887, 0xf8144509, 0x2f48da5c, 0x5ba52591, 0x83e0153e, 0x7ee5ce75,
+    0x3371e8aa, 0x1f95b16b, 0xbebb4b92, 0x3a2319a1, 0x261d2dc8, 0xe6d5889e, 0x4db3b9b0, 0xf3855454,
+    0x5813ad95, 0x9a595043, 0x37155a43, 0x5e4f13c2, 0x75326842, 0xa2249c50, 0xec1b56ac, 0xc865c6d3,
+    0x2d675a15, 0x7603a938, 0x6e92ddb9, 0xf6ad8046, 0x72787874, 0x2db3e299, 0x851126f5, 0xaafc8f8c,
+    0xf590c8c8, 0xc5a3132a, 0xf0b8f37e, 0x6b4e5783, 0x014ea776, 0xbc8a6e31, 0xdd741f7c, 0xa5399e74,
+    0x090b2634, 0xcc6fe6ac, 0x5e08acc7, 0xdc79fb49, 0x6b69258f, 0xb3f4a202, 0xc07a135d, 0x41d47d76,
+    0xc4e8f3cc, 0x2b481a52, 0x5dd11ed0, 0x90bfca4b, 0xc2f8a8ae, 0x87382031, 0xd2648aaf, 0xf5615849,
+    0xb9c066d4, 0x0ca5ed76, 0x9760cb98, 0x347a4076, 0x25f53db5, 0x637560b1, 0xcb553c5b, 0x1d55ccc4,
+    0x7a95538c, 0x8ef81947, 0x88ecef97, 0xc2e7acc8, 0xd94b8d9e, 0xe1a9120d, 0xa40ba976, 0xde0e07d9,
+    0xaca3b40b, 0xea52a52b, 0xdee3abfa, 0xb27ddbff, 0xdeacb103, 0x00fc5973, 0x1546e8ee, 0x7014e4fa,
+    0xfe8e8d2f, 0xc057cc8a, 0x4847a099, 0xfea13d6c, 0x6056ae9e, 0x677847be, 0x944067fe, 0xd8f2752a,
+    0x98143601, 0xb2337b97, 0xadddd9ac, 0x21013918, 0x0056ab45, 0xdc173538, 0xadce551a, 0x4dbccff2,
+    0xb4490889, 0xeeecf38c, 0xa7f309ed, 0x91eaa09f, 0x9ff455ee, 0xf91db4de, 0x76fa4f0c, 0x1dbbfbae,
+    0x358bb556, 0x7617b684, 0x8e4ff16d, 0x1388991b, 0x63ce773a, 0x1f9af2f5, 0x720ba1a6, 0xe06c881e,
+    0xad67d391, 0xc64ed486, 0x91ca6050, 0xcee3e221, 0xa08851d0, 0xbede78e4, 0x572cd429, 0xa214a738,
+    0x497ac346, 0xa31bd6da, 0xa6e3e259, 0x101c4704, 0x09fa0158, 0x389a5b2c, 0xfa6bf297, 0x178642f0,
+    0xfc0cfd40, 0x23e60ee9, 0x39c36316, 0x3893b27e, 0x2cf4df54, 0x8bbed518, 0xdf6bd3a2, 0x3ca3d9f5,
+    0x0efb2602, 0xe3a75c99, 0xdea8361e, 0xaebc7fcb, 0xfa3f8bec, 0x3dc6e1c2, 0xbac7ef59, 0x01f235bc,
+    0x954ca8f5, 0x15f3a6c6, 0x65f8f5fa, 0x6b23972e, 0xe5fb61b5, 0x2d991f3c, 0xc6816c36, 0x26843332,
+    0x2edd8bcb, 0x2284521c, 0x2cfd5799, 0x7394b5b1, 0xd124d744, 0xdfd08a5c, 0x6caee5da, 0x93355e9b,
+    0x2b177f29, 0xe79e957b, 0xd0f27a4d, 0x186a3d3e, 0x92833a60, 0x2d2f4bfd, 0x96a98aed, 0x7d5896de,
+    0x228c933e, 0x62c0e8fa, 0x70be1173, 0x0708b164, 0x19a49e3c, 0x2f2e011c, 0x38bc4630, 0xd3b960fe,
+    0x184851d1, 0x1a8c3cf3, 0xa5827480, 0xb1334e71, 0x4ada6dc7, 0xba79058a, 0x7737b6e5, 0x0db952d9,
+    0xab3517eb, 0x2d307e46, 0xebd1b360, 0x3fdeada7, 0x9cb2500c, 0x5f3026ab, 0x37da9b91, 0x95704821,
+    0x76e55417, 0x0669eec1, 0xe1149bb3, 0x9fa54778, 0xc1578d01, 0x1107b5cb, 0x41da16f9, 0x6baf7137,
+    0x9769f7d9, 0x7b51b135, 0x37adeba9, 0x1e409deb, 0x4b8f8bbc, 0x9cc281ff, 0xb0b83b87, 0xb5202068,
+    0x834691e7, 0xc73668ba, 0x88d71578, 0x6b0ea737, 0xc9be2fd0, 0x6f50390c, 0xaeb3f526, 0x2aba60a9,
+    0x8154298d, 0xecbd7a78, 0xaa80a5a9, 0x947b29c2, 0x83bce3c5, 0x8280cf1b, 0x8bbff82f, 0xcfe441ee,
+    0x02014f61, 0xc65805c5, 0xd06f466f, 0x736506d7, 0x539f79bd, 0xd4d514b2, 0xcd739aa4, 0x90c31a2a,
+    0xa6ae9f6c, 0xb1f11308, 0x1831a641, 0x49b415dd, 0xcb64ea56, 0xeeef1c66, 0x3a34df69, 0x5ae4ccd0,
+    0x16b356b1, 0x2db12b3a, 0x3d50e89e, 0xd4ad2af9, 0xbc2bac42, 0x800fbca3, 0x88636b08, 0x97fa8b28,
+    0x9345d2f8, 0xf4bbb0e8, 0x96dafbf5, 0x3388a878, 0x3a18e567, 0xe82e4566, 0x216d3511, 0x9870e35d,
+    0x0e685857, 0x56856901, 0x5ad06afa, 0x6d9a51a7, 0xbf6a57d4, 0x77ac7633, 0x2111da79, 0xad7ed32e,
+    0xdba1c1ff, 0x004aa41d, 0x3bc02268, 0x658fb867, 0xc8b86eff, 0xfb32adb0, 0x8468f3d5, 0x637e2799,
+    0x167247d9, 0x6d0aacca, 0xed16086c, 0xd74d7312, 0x13fbe8aa, 0x17cdd9ab, 0xa91e9385, 0xb785a257,
+    0xf8e33468, 0x4387fb6a, 0xc758af6b, 0x27f07054, 0x17914644, 0x16181508, 0x1db9fa29, 0x41761e56,
+    0xd9d1cd58, 0xe823fb04, 0x00b7446a, 0xcf36610d, 0x3ba71d42, 0x21c99c0a, 0xbff67caf, 0x197124a8,
+    0x80f1fe15, 0x7d87d48c, 0x82eb991b, 0xbbda8308, 0x27eb6d04, 0x16bacf66, 0x6a8ee2e9, 0x8777c061,
+    0xa08f6601, 0x961b342a, 0x6dc63d7b, 0x0cf8b402, 0xca1fef21, 0x311522b3, 0xe9c4b73c, 0x8b05d05c,
+    0x88fcc4dc, 0xec8df708, 0x7de0f8e6, 0x3d708db9, 0xcd7960d9, 0x5daaa45d, 0xff157cd8, 0xc2b2ba58,
+    0x1711feb7, 0x88ecd918, 0x65de3e4f, 0x86a56f11, 0xc1b3b6fc, 0x7062fb2b, 0x25c11b34, 0xb600f1f7,
+    0x4997a619, 0xd2eca08d, 0xe9e6c6a2, 0xb8070dda, 0x8675ec5a, 0x0783d40e, 0xa35e7299, 0xaaa3012c,
+    0x9f17e7da, 0x9a9fc187, 0x97ad9435, 0xc5474ceb, 0x09167902, 0x57f0efc8, 0x6ac65da6, 0x70e5ca4d,
+    0x2256c938, 0x0561ed06, 0xeec955ec, 0x770f1680, 0x8810ab1f, 0x8222190a, 0x3beee3fb, 0x519bb183,
+    0x62b4d7b8, 0x4c8218b8, 0xc82b3184, 0x47d2a6cc, 0xfb5a7cce, 0x3c85b5c3, 0xd7a5ee0f, 0xb61076c2,
+    0x40c2fd27, 0x63c4e607, 0xf8660d2d, 0xfc2d0761, 0x4f254932, 0x3cfd9a8d, 0x13e5e5f1, 0x9f2a28b9,
+    0x63a23e07, 0xe88acfaf, 0x6e0e976d, 0x6b73c645, 0xdc07218c, 0xc931d32e, 0x6973157d, 0xb3fbb347,
+    0x4c713015, 0x3bce29bd, 0xcbd989a2, 0x9167d4e9, 0xe63b4e71, 0x2dc7932f, 0x0c1d0ac6, 0x0067c124,
+    0x1028bb72, 0xe702080f, 0xbfba45df, 0x5ea86721, 0x3f50ef3d, 0x86619776, 0x8522913b, 0x2ab6422a,
+    0x88c0c074, 0xcf56f2bc, 0x2d0efa4e, 0x68ada95f, 0xcd7b0528, 0x18622fc3, 0x2f85a387, 0x4237abb6,
+    0x4ee76c8e, 0xaee62991, 0x4490f367, 0x49ee08e7, 0xb8ee0e91, 0xa3d09a1e, 0x0a3b3bb4, 0xd1ab4e2e,
+    0x07a6f5ae, 0x1942d3c1, 0xb7b754bd, 0x7fa8f13b, 0xc7f0e8b3, 0x9faa66d8, 0x56e67afd, 0x72c34871,
+    0xe1c3241c, 0xc00cae61, 0xfc525b89, 0xbc9c9491, 0x8cbeb30e, 0x63760cae, 0xa9b4237d, 0x3cb926b9,
+    0x534ce729, 0x824848b6, 0xdd7966c4, 0x97795eba, 0xbf0cfd28, 0x239d5860, 0x07fb5179, 0x45238495,
+    0xce8513a6, 0x622a71c7, 0x21ac42d3, 0x514161f9, 0x2730c9d3, 0x67ac4cf9, 0x743f5809, 0x3d1ebaaa,
+    0x66a0ba68, 0x68bd72bc, 0x93b96f9b, 0x398e20ca, 0x9beb0bb6, 0x0837e93a, 0xc5892de6, 0x543309d1,
+    0xfacbae95, 0x9b6831da, 0x9452a275, 0x418b88df, 0xe02e2392, 0xb6d71f81, 0xc5266cc4, 0x07d8cdc3,
+    0xa7d7263f, 0x4a681750, 0x893f910c, 0xe8afd2b8, 0x13b5e675, 0x5145715a, 0x16adda47, 0x40cdc307,
+    0x2c831d43, 0xb5f3c87a, 0x8d87843b, 0xfbf04c90, 0xa3c661d7, 0x2f276af5, 0xc3080780, 0xfef235e3,
+    0x6933a903, 0x27fec99e, 0x23d94540, 0x5e445ff9, 0xe2b49986, 0xcc82bd37, 0x8b3141af, 0x832022ea,
+    0x1b475142, 0xdbcbd0f3, 0x7834e4b3, 0x8310fa81, 0x9f20aa1f, 0xc6fa6d78, 0xbdaea9ff, 0x3166f4b4,
+    0xe80c6098, 0x6cfa7e9a, 0x959e297a, 0x5922ec83, 0xed4f8771, 0x354ea494, 0x23e38dd6, 0xc43306c1,
+    0x884f5aaf, 0x76df9b88, 0xa0aedc2d, 0x773e90eb, 0x228dd140, 0xe6297d92, 0xdfe50022, 0xbd207c5b,
+    0x444d4fbb, 0x1234f8cc, 0x6ae10133, 0x09a58718, 0xd3bba204, 0x6852fd09, 0x6af1a521, 0xfc1a4f00,
+    0xcf100af6, 0xe2351265, 0x4d30073a, 0xee79658e, 0xb09e517f, 0x5d754a4f, 0x047d61b8, 0xd26562a1,
+    0x3bf2adaf, 0x212343e3, 0x2f6c9c56, 0xba5d33f1, 0xd94425e3, 0x4750e45e, 0x8524106e, 0x080c8f0e,
+    0xf582c2f6, 0x2080bb6a, 0xcb6301fb, 0xe4de9cc2, 0x9a6782be, 0xd32ffeff, 0xc1e4fc65, 0xdb80175a,
+    0x2169118d, 0xc31b1869, 0x850b66c2, 0x04e96b15, 0xbabe1146, 0x6ffdf6b7, 0xcdf6a8c6, 0xb7f8a62c,
+    0x237277f5, 0xf9e24027, 0xe9ec9137, 0x211ecdee, 0x022a0da6, 0xba4ec9f0, 0xc82cb43f, 0x226808c1,
+    0x6a1a48c2, 0x028168b1, 0x8ef17802, 0x8f2d9c36, 0x70cfa6bb, 0xb429d99a, 0x452149cb, 0xdebc69d5,
+    0x7cbc6a4d, 0x695f28d5, 0x449f82b6, 0x5e405799, 0xe67687b7, 0x2a4703e0, 0x2c8f3298, 0xb0d7ba1e,
+    0xb6e3de32, 0x081e687a, 0x9088f1e6, 0x5136e8f3, 0xe5ce1767, 0x4a810656, 0x3c453e32, 0x8e2a7f10,
+    0x1aea19e6, 0xbfbf15fc, 0x95c6ae53, 0xa9d2cd95, 0x113b61ce, 0xed9e13aa, 0x72b3b071, 0x58782e68,
+    0x0188fdc0, 0x5759dc5f, 0x540adb36, 0x0a9cf108, 0x1a700a78, 0x0fc03bbd, 0x17b0f21a, 0xedc26442,
+    0x52c36458, 0xbe6a8539, 0xb0e3ea86, 0x224ae614, 0xbe7e6921, 0xd63dead9, 0x0594362b, 0xc7d6e005,
+    0xc0def94b, 0x1232d8a9, 0x54a039b5, 0x25bdea64, 0x60b337ba, 0xc5d8bfee, 0xbf5f21b8, 0xd2914660,
+    0x859ee040, 0xc9a10bfe, 0x7fc8ccd1, 0xe0bc0519, 0x1030506f, 0x8263e8c5, 0xaf537873, 0x7b030fb8,
+    0x38725fb8, 0x977cfcf1, 0x6dc1bc3f, 0xef029b79, 0xb09e5932, 0xa9b511c4, 0xc704e36a, 0x4f21d63e,
+    0x2ca608cd, 0x172b344a, 0x67ee52c9, 0xf105f757, 0x2a861ddb, 0x695b1ef0, 0x1d967ffe, 0x00a0c9db,
+    0x35f72014, 0x768c0292, 0x5f4c7ec8, 0xb0f75ff1, 0x62792578, 0x4a0049ce, 0xfa6d8fa8, 0xf9c7e069,
+    0xcd40b733, 0x9b572fc0, 0xabe9858f, 0x1c53d1fb, 0x0353bf44, 0x084c94e5, 0x7045572c, 0x714f161e,
+    0x66b10ef2, 0xc6fed770, 0xf5cf2a5f, 0xfa9d67c1, 0xad63b1c5, 0xe0222a72, 0xdda79885, 0x9db94235,
+    0xd8292b38, 0x3386cbcb, 0x9724e451, 0x50f71ef2, 0x0c73546c, 0xcc88c895, 0xf290c7c8, 0x6a98d9e4,
+    0x1b78fc6d, 0xf55fbb6d, 0x543c690f, 0x6079c8fd, 0x5c321ae8, 0x58d34483, 0x39265dc6, 0x28337a79,
+    0x288673a9, 0x5aaa5f16, 0x9f0b4116, 0x8f31fb5e, 0xe59e3aca, 0xf8ab581a, 0x4baa1afc, 0x63b05d46,
+    0xb9e55408, 0x8a89f7dd, 0x5fde9da4, 0x6f647622, 0x10268baa, 0x89e89892, 0xf715860e, 0xf9a8536a,
+    0x7ce1f732, 0x51b7c2fe, 0x112037e0, 0xed2fac14, 0x94950433, 0xfb1a0936, 0xbcc68293, 0xbd6ada54,
+    0xeb52cc74, 0xbc9544fa, 0xd5619481, 0xad7ea422, 0x24bc24d2, 0x1ca2bc81, 0x674de177, 0x8583c155,
+    0xdede63b9, 0xa3c5d30d, 0xc68ace34, 0xe9e217b8, 0x807c7508, 0x40d4bbdb, 0x94bf37d5, 0x1d274aab,
+    0x823e734b, 0xe52a9e18, 0xdd45e518, 0x9693c120, 0x71dfdcc6, 0xb625e482, 0x27196d5e, 0x7e436d67,
+    0xda9b8272, 0x8db997f5, 0x307c9da5, 0xb1f11d42, 0x0684329c, 0xfa89284e, 0x54a31a84, 0x32ba1b82,
+    0x4d781e2d, 0x9c3ed2ec, 0xaef3f1ed, 0x5b63371d, 0xe120b6a5, 0x3a559687, 0x9f76cf22, 0x3ace43ff,
+    0x7167840b, 0x045510ec, 0x7e2b8bcb, 0xa776867c, 0x123e6031, 0xcffbf505, 0x44882407, 0x85f75765,
+    0xa242d223, 0xe0a3f4ca, 0xc0a81f6c, 0x13f589fa, 0xf41b8e60, 0xbeea541e, 0x743b4c60, 0x037f4cdb,
+    0x0767b39e, 0x618a203b, 0xc1316330, 0xee493f95, 0x80670121, 0xe13cd886, 0x47efcf9b, 0x759f035b,
+    0x94d4397d, 0xc1c3364c, 0xf7f0cb52, 0x7317184b, 0x9e517791, 0x377db5cc, 0x6cbce9f5, 0xcb2960ba,
+    0xe7f56b71, 0x75efd450, 0x048557ca, 0x297da8ed, 0x39b8a606, 0xbcee1ee0, 0x8c302196, 0xb10c0d07,
+    0x105a21b7, 0x9e04ca20, 0x8de45e71, 0x9cd30cb1, 0x447cf6d6, 0x62457358, 0xfcc7ad00, 0x9a48b770,
+    0x6eb8d9b2, 0x4842dc8f, 0xd1540653, 0x2f553a70, 0x8fe8db27, 0x06a699ae, 0xe51c78a3, 0xfa978553,
+    0xa737eeb0, 0x00947f2a, 0xa3173f25, 0xf007623b, 0xb5a5bc50, 0xd14bd188, 0x3b0edc1e, 0xe569d261,
+    0x375680ab, 0xd9bf7dfa, 0xa83789e2, 0xa1a58ca1, 0x55af5972, 0x56c75b14, 0x1596c2af, 0xb3494a93,
+    0x3d368b3a, 0x396eb29a, 0x41e1093f, 0xae5d8c7f, 0x0817ca15, 0x0208a631, 0xc31ea7c8, 0xa5d85d8e,
+    0xb27c74d3, 0xfea20445, 0x3f9f9187, 0x64a30476, 0xe4bb20d5, 0x6f6655fc, 0xff3a54fb, 0x83fbb5e5,
+    0xe860b8c7, 0x8b367a2e, 0x751cfbb1, 0xb4e4f39e, 0x07529762, 0xc15bc1c0, 0x693564bf, 0x40097bce,
+    0xa8fccb31, 0xee18719c, 0xd9546c13, 0x8d639a78, 0x320aa818, 0xc62ce0cf, 0x3ccb7968, 0x0f22f8e1,
+    0xdb009b8c, 0xe429af29, 0xd01d2e14, 0x4a13087a, 0x52614b35, 0x2d8a8ddf, 0xab1b32cf, 0x239b9c6f,
+    0xcdeca4e1, 0x6a205c3e, 0xd0fd317a, 0xe489cf4f, 0x4c23bf3a, 0x62dd9162, 0x582386c5, 0xc000982a,
+    0x5e7f8936, 0xd40dd913, 0x20489760, 0x1e9a6174, 0x51498900, 0x5f79ae95, 0x758fbe0e, 0x7b0a43ef,
+    0xc3f4690c, 0x744767f3, 0xab0b2313, 0x909b18a0, 0xc3e8b828, 0x5b3489e9, 0x285d3c2a, 0x3ff8dc94,
+    0xc7ea2c3b, 0x875fd62c, 0x81a1881c, 0x0adee85f, 0x1e98a9d7, 0x4dc652e5, 0xef62b520, 0x2d9eb2ef,
+    0xfbfb1069, 0xcba62903, 0x791b74c5, 0x3212636e, 0x60ced1c4, 0x0b51fb49, 0xb4f90219, 0xfe3f4d0b,
+    0xca5a5137, 0x5b119312, 0x7deae664, 0x806d8d4d, 0xdae471c9, 0xd63b10b0, 0xe0a0683c, 0x5265ccf3,
+    0x2078db25, 0x00185349, 0x7a4fd566, 0x98cd2eca, 0x2be55095, 0xe08a22ed, 0xa39d7338, 0x4e78d132,
+    0x8e774a5b, 0xb9776de6, 0xf0fc1e33, 0x292d95c0, 0x8d6a92c4, 0xc0238374, 0x89cff493, 0xdfbb26b7,
+    0xda3389cd, 0x8e67fd35, 0x1542c83d, 0x3fd0d2cb, 0x325fe7f5, 0x3b591b83, 0xa9b756ae, 0x373b614e,
+    0x476990cd, 0x747e4157, 0xe3bfbffd, 0x7861515f, 0xce1f0140, 0x2ae63e8d, 0xc749542d, 0x1713c11b,
+    0x642fe345, 0xe6fe3cf8, 0x82b268f7, 0x243a6dca, 0x623c8391, 0x34c7d34d, 0xea8b89a4, 0x7d83708b,
+    0xfb172ff4, 0x222283f0, 0x9bb3febd, 0xd042198f, 0x9dc6294a, 0x5a72428c, 0x63bb4a48, 0xbee4272c,
+    0x6f0744bd, 0xee8f4bba, 0xbb50549a, 0xf0ff7181, 0xf4b57546, 0xcc156e7f, 0x8e2a1885, 0x69dc82af,
+    0x38340f67, 0x4a3828ad, 0xe4e77bae, 0x63afd8f5, 0xf0a730f9, 0x7966b665, 0x1df8610e, 0x4bfaf05d,
+    0xf8ec45e4, 0x7e397092, 0xc26a9b18, 0xe85639af, 0xc1cdba40, 0xa766b5bb, 0x627ef3e9, 0x0931a30e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000008796093022208 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000d49, 0xa784bcd0,
+    0x00000000,
+    0xd30c88aa, 0x1ce136c9, 0x5fae5953, 0x582ac789, 0x14ccd52f, 0x347ae738, 0x7c9b69d4, 0x77909c1d,
+    0x5523b51d, 0xab0247ea, 0xe96f99a2, 0xa96fcecd, 0x4c735503, 0xc2ebc2e2, 0xbc56d25d, 0xcac96bc2,
+    0xe1bc5e92, 0x5ccb66ae, 0x5d50153d, 0xf70c6fd4, 0xe4db4219, 0x1780afca, 0xebf2ca5d, 0x24e767ae,
+    0xf62208de, 0x05984342, 0xffe4c126, 0xcabd69d0, 0xd6939bda, 0x8f3d0a9e, 0x6af2cf87, 0xfd93f86d,
+    0xee067f83, 0xd21f5ee5, 0x5ffb9989, 0x192a4e2c, 0x9af23117, 0x64715a19, 0x96ada3c8, 0x4be0a300,
+    0xfd570ee7, 0x1388d56e, 0x85abced8, 0x0027ef66, 0x21854d36, 0x2d7b8ea0, 0x4f8dc876, 0xeb9b92e1,
+    0x302d93cd, 0x35970dd3, 0x82586e17, 0x851fc797, 0x6431be00, 0x8fdaafc3, 0xde3d3c69, 0x0aec823a,
+    0xbdbec673, 0x0d97e7a5, 0x48acdd70, 0x5bb7d20b, 0x2fa5bd02, 0x11cb2c4d, 0x3216315d, 0x46af1dd4,
+    0x09856c46, 0x3edbd7fa, 0xb364679b, 0x64d84e13, 0x066f7305, 0xbae9d43c, 0xff27f101, 0xc1dace93,
+    0x638bf45c, 0x14deb8c7, 0x95f9f3f5, 0x220b3c1b, 0x261dec79, 0x395a59af, 0x0871837a, 0xf7ee8a42,
+    0xc8aedc30, 0x933d2872, 0xb940b2d4, 0x27b8672f, 0x4633b5b0, 0x31613365, 0x989927a4, 0x55f604cc,
+    0x2699e3da, 0xa3607f93, 0xaf626f9b, 0x8a7e734a, 0x08d79380, 0x326ec59d, 0x66811cac, 0xcd1e0322,
+    0x826e3721, 0xab5f6ce9, 0xbf4bd895, 0xb6639f29, 0xd0acd9a4, 0x45fabf36, 0xa711210c, 0x8bad9684,
+    0x7e1ab769, 0x14f7c6ae, 0x436208f6, 0x8cac8e3a, 0x4a383299, 0xc353edca, 0xefaa9c7c, 0xbc26b1c3,
+    0xab5d11e3, 0x630b7b83, 0xfc481811, 0x5609ffa5, 0x7ddf7f2b, 0x52913f3c, 0x1fabca2d, 0xbabc8144,
+    0x7bbdfea0, 0x7ff5ce98, 0x99b01f31, 0x2e44fb8a, 0x264646f0, 0xf21af95b, 0xf9976731, 0x879d0173,
+    0xeb8a5a8c, 0x922b2d50, 0xbc6002d7, 0x8b10e83d, 0xe9586fae, 0xe1e3167f, 0xaa5124ce, 0x645f16a7,
+    0x23bf85ef, 0x4eed0d01, 0x4c1ec783, 0x9aa930e9, 0xfb55404d, 0x789d6af1, 0xe6dafc80, 0xb58c6314,
+    0x953be052, 0x26ce463e, 0x5eb33152, 0x9078e5e3, 0xe2230c68, 0xdee8be87, 0x909b992b, 0x7096454c,
+    0xa1833eb9, 0x284c4c9e, 0x038f684c, 0x515e1c6b, 0xd2e6d612, 0x6fd9bcc0, 0xb7b6ebb4, 0x96e24ad4,
+    0x9985409f, 0x2cd76715, 0xc0106320, 0xec4e9ba6, 0x40b98f21, 0xf3f1c24d, 0x1b3623d0, 0xb478396e,
+    0x040beb6c, 0x0ab53548, 0x95d71d9b, 0x999c6bf9, 0x36906d08, 0x5fdcc34d, 0x2d8e714e, 0x70f9fe3b,
+    0x5904987b, 0xad2decfe, 0xd76025ad, 0xf52cfad5, 0xe925d991, 0x641f68f9, 0x94d80683, 0xccf61769,
+    0xf24e6454, 0x87161412, 0x6a5ab718, 0xcc3afdab, 0xc66d9525, 0x6f8791a4, 0x47c422e7, 0xfa5af76d,
+    0x22db69c6, 0xe0ec2963, 0xc219b28f, 0xa8fda618, 0x8fc42df8, 0xe193db27, 0x696e2901, 0x7de009d1,
+    0x7cea86e8, 0xe6ed6e58, 0xd73b7d59, 0xa2204773, 0xb80ed429, 0x27f6006c, 0x8df6d44c, 0xb361c824,
+    0x7a7e06bc, 0x2e61a6ed, 0xcd134a4f, 0xbf1eb6b7, 0x34191ec4, 0xb86e8871, 0x5f7ac476, 0xb3f06a10,
+    0xa10fb0f1, 0xd8714b3c, 0x19e9cf64, 0xe5ec1466, 0xe685d35c, 0xa652d521, 0xdab97488, 0xb7c01897,
+    0x25d903f4, 0x61faf5d8, 0x01ddb939, 0x0fed8a47, 0x03503cb5, 0xa725d02a, 0x417609f9, 0xa6fca709,
+    0xbadce88d, 0x6450d50f, 0x99d82cfe, 0x343f8087, 0xece1fe4a, 0x4f606508, 0x4dc10e0b, 0x736f89da,
+    0x3d6ac303, 0x2b6d6079, 0xa2131b32, 0xaa07278a, 0x9ab0ceb3, 0x15767c17, 0xf41975e9, 0xb66a474a,
+    0xea8c20f0, 0xc0e4dfcc, 0x122f154d, 0x0bef08ad, 0x303de600, 0x501628f8, 0xbc944e27, 0xce51eef7,
+    0x0eaa8bcf, 0x3113c01e, 0x7ec937e9, 0xadee37ca, 0x7d454454, 0x113a83cc, 0xe9b2cfa7, 0x0808e11f,
+    0x880852ba, 0xab7c7342, 0x22c6bb5d, 0x84f5cea1, 0x78761f5a, 0x1a01b251, 0xdcbee429, 0x1f3be25f,
+    0x5be4fe77, 0x6c28b2aa, 0x20e3c27d, 0x042883b3, 0xf12f989e, 0x47e0442c, 0xdb357ebe, 0x39c58407,
+    0x05626cd6, 0x6aa5c9c7, 0xaf4a6625, 0x5b82a780, 0x2e8e89af, 0x8478eedf, 0xd3842cf9, 0x8dc1af20,
+    0x29b0879e, 0xe66e3e3c, 0x33e044c6, 0xc27d0328, 0x73d2efbf, 0x9172689c, 0xcc26106a, 0xf3d64a5a,
+    0xac7c786c, 0x1254a376, 0x19f62e1a, 0x426182e1, 0xfdcb16c9, 0x4880ffa8, 0xce28a184, 0x6af9fbf4,
+    0x448f31f2, 0x2e5c3cac, 0x64962aeb, 0x6189c279, 0xd59267bd, 0x0923cd15, 0x441938b6, 0x282b40c1,
+    0x831ded01, 0x7200d0e3, 0x1c79b113, 0x141b0b7b, 0x11d2fa6a, 0xffc8433b, 0x2121cff2, 0x4243c8e0,
+    0xf0cec62f, 0x1d9326bd, 0x4231bf68, 0x490dbee8, 0xb13e7ce9, 0xe5efc33d, 0x4c21ba15, 0x4a605d60,
+    0x4651ba08, 0xf334cd2a, 0xe49e4c9b, 0x140edc62, 0x65a366a6, 0xcd3bdcc1, 0xf5434c1d, 0x1c0585bf,
+    0x06fffadd, 0xb49d9b5c, 0xb868e139, 0x2b836a95, 0x776feb8e, 0xb54f964b, 0x594ba210, 0x098a46f5,
+    0x973fc0c0, 0x83672e56, 0x8799bea9, 0x090bb168, 0x0a5d47eb, 0x37d3d5e0, 0x500d5bb6, 0x52090402,
+    0x700d9af3, 0x80fc7dec, 0xcc2e1b83, 0x935adb38, 0x19138f33, 0x2ab0d5a2, 0x46207372, 0x520984c2,
+    0x8942ab2a, 0xdb38cf04, 0x6af9bc1d, 0xc7f0985c, 0x1bf41eeb, 0x0aee4c63, 0xffef642b, 0x7823d296,
+    0xfd294768, 0x3ff5c764, 0xf84ce8e4, 0xbabc9e15, 0x1f0b0fad, 0xf1d5afae, 0x75070295, 0x7bb2fe4f,
+    0x956dbbb1, 0x762c23a0, 0xfadd3774, 0x95a70a8a, 0xad0dbde4, 0x87341bee, 0x5dce0f92, 0x4e196acc,
+    0x30d100cb, 0xa68eab11, 0xcfae7f4c, 0xff03762e, 0x834ead6e, 0xeef7c693, 0x3601529c, 0x66229b1e,
+    0x8903daed, 0x3d23f5b9, 0x17ee1d49, 0xd328fb75, 0xdac32366, 0x63a4b7e2, 0x7da72850, 0xafe6eeeb,
+    0xdfb02de9, 0x097a24a4, 0xd211ca55, 0xfb481f39, 0x487c8830, 0x865d1abf, 0x5ed9728e, 0x983531eb,
+    0x8c627b92, 0xb96bef92, 0xec8d69bc, 0x4d409b19, 0xc922b48b, 0x00088bdf, 0xeb4b85a0, 0x29e8e51f,
+    0x8c164559, 0x0d33bec6, 0xea0c5a86, 0xee49e9e0, 0x58a03bfa, 0xa9c63556, 0x899d8609, 0x97e7f2d9,
+    0xd4dab535, 0x44645212, 0xc4f6f7ee, 0xabd93cfa, 0xe834dc45, 0x7a3ebd45, 0x59136eff, 0xd1904ae7,
+    0x1b4dc02c, 0x66dec565, 0xd8e9a7d5, 0x4ccbf264, 0xe174b5cb, 0x1d4c03da, 0x55c80fde, 0x6c5b5736,
+    0x678d39bf, 0xd7905242, 0xabfdb0ff, 0xa54a7dbd, 0xd267aa02, 0xb8a9ad31, 0x81def6a6, 0x324e3350,
+    0x87baf7c3, 0xfccbe75b, 0x794dcbd3, 0xefc6811e, 0x50033fa2, 0x9c428787, 0xb733e144, 0x671645fd,
+    0xd7d9cf68, 0x361eebec, 0xc9d13d87, 0xa2c6c922, 0xa590f2a6, 0xa1df3ff2, 0x82b71166, 0x73463313,
+    0x22fe1800, 0x755fbe49, 0xf2be8937, 0xe5344138, 0x07d436bc, 0x4fd0d182, 0x81d31ab4, 0x4f04a134,
+    0x3d7b413b, 0x0281d5f6, 0xf4d5ba8f, 0x9308731b, 0x9fbeac6d, 0x18664917, 0x68d68fda, 0xabb6e7f4,
+    0xad782392, 0x221a530b, 0x8a7dd4a7, 0x8fd42956, 0xfcacbe8c, 0x25c23c36, 0x391cb858, 0xd4aaf4f5,
+    0xb2c9ffed, 0x4222e74d, 0xb27f963c, 0x4cacd05c, 0x65c2770d, 0x5f3eeeae, 0x91cce0d1, 0x2883f76f,
+    0x10b300ca, 0x3a1dd6db, 0xd0f496ab, 0x8c03527a, 0x41206cdc, 0xa49ffd34, 0xd2f2e06e, 0x93ff6acd,
+    0xda773466, 0xb1d157c6, 0x98557830, 0xf00d8b50, 0x3f44ac64, 0x1bce8713, 0xdefe96f2, 0xdbcf91c7,
+    0xb893a663, 0xda3d3827, 0xd924bad8, 0x4432bc43, 0x05793ba5, 0xb5679e55, 0xa5b237bc, 0x53a1107e,
+    0x3a0e0569, 0x78bb81d3, 0x1079a670, 0x31f6c867, 0x278d3aef, 0x3542b563, 0x4e544235, 0xec7c7536,
+    0xc540a7c0, 0x45aeaf05, 0x387d6b7f, 0x775b4d70, 0x145f851e, 0x5189c7a1, 0xa4691a7d, 0x8a73df8d,
+    0x025d7486, 0x3812e5e3, 0xc6e16b65, 0x2a6d9df3, 0x9c2421eb, 0x797f80d3, 0x1341656a, 0xaf07d60c,
+    0xb451c997, 0x3f57c756, 0x4e19f054, 0x77c48274, 0x005f1b20, 0xb2e4e95e, 0xdb72916d, 0x9b05dea8,
+    0x910a54a8, 0xb0327071, 0x48cd0eb7, 0xcfecf1ae, 0x30d3b39c, 0xe62d5694, 0x6c185aff, 0xaeab3b5a,
+    0x21c9127a, 0x20b9d7a2, 0x3977ea9c, 0xe30fec35, 0xc36230a1, 0x194ce197, 0x846d05ce, 0x47bc5621,
+    0xf1483aae, 0x446594bf, 0x287f7f5b, 0x06be1462, 0xa56b0a3f, 0x166ad9d7, 0x230c84be, 0x0cf2946b,
+    0x47d0896f, 0x81e05809, 0xbae24c03, 0x160de95d, 0x4d3be3e8, 0xdbca37be, 0x83f41d3d, 0xe9e6f04a,
+    0xda682dcc, 0xbd979912, 0x976d2ca3, 0xe3f90ee4, 0xde8250ee, 0xa2789c1f, 0x8e36ed15, 0x2cc903d8,
+    0xda79ed98, 0x3b4a5f73, 0xb8bfaad7, 0xc05ab313, 0x84ad49da, 0xdea85767, 0x194a3616, 0x408dc281,
+    0x13e34dde, 0x8a2d3b6b, 0x8b4d8488, 0xc38e3147, 0x84c47d8f, 0x6fe417a9, 0x4a3e013a, 0xdfacd078,
+    0xcc7c2daf, 0x5cb9304b, 0xac8a9061, 0xa3c7c6d3, 0x42f0c58c, 0x031bb0f1, 0x966562b0, 0x379746be,
+    0x2e532fa7, 0x91820315, 0xaceecbca, 0x4eddc8a2, 0x180d2067, 0x37cf2510, 0xe3212c27, 0xaa5e45be,
+    0x1831061f, 0xb075f12c, 0xe9dc7264, 0x0ebb9ed3, 0xbf0800ff, 0x4ae84415, 0x025a07bf, 0xdcdb6e80,
+    0x62d029bb, 0xc046f708, 0xaf458bbc, 0xdaa97aac, 0x4b822359, 0x56a33692, 0xd8a7f8fd, 0x3ebfaa7b,
+    0x26155075, 0xe1cdf173, 0x264f0583, 0x93c72485, 0x8a964386, 0x613ad112, 0xf93872b2, 0x9e853a06,
+    0x188b9358, 0x73a7d85e, 0xcd177e08, 0x7f5d1e73, 0x02312a0f, 0x1f5ee6bd, 0xf4db050a, 0x26850c08,
+    0xdd88e3ab, 0xfe0c8347, 0xa3afaab4, 0x75607e20, 0xf8cda088, 0x4244393a, 0x6e7779f9, 0x419e19c8,
+    0xc7b3f081, 0x5f738d61, 0xd87b7726, 0x70bfac51, 0x66199c3c, 0xfb56168f, 0xe418026d, 0xc05a3f24,
+    0xa1c2c3e7, 0xa36a109e, 0xf06bc7c5, 0x508b5a4a, 0x56c51ad9, 0x6570324d, 0xc8665f73, 0x13cdc017,
+    0x0740fd47, 0x1839e41f, 0x6ba96829, 0x4ac0b4d1, 0xab629686, 0x30ebb701, 0xf157ff91, 0x03e7be63,
+    0x7f704d27, 0x5c16ba6a, 0xdeaa73cb, 0x6b7e4d23, 0x6b0bae16, 0x63291f07, 0x007dfc93, 0x2af89b6d,
+    0xa2a59c28, 0x776cd978, 0x55875908, 0x6a838bf7, 0x1a8decba, 0x0747ab22, 0xddb4d08c, 0x19471451,
+    0xa4b17c33, 0x60a1732b, 0x6aa148f2, 0xb11caa33, 0x51a64100, 0xa6833732, 0x2f59b16a, 0x0fa33b34,
+    0x86e89897, 0xfdce8283, 0x8cca163c, 0x053f81e7, 0xa6612bf6, 0x85bb6dcc, 0x45ee5a04, 0x3b9238c9,
+    0x5191fb76, 0x6d55db87, 0x9b9f5b60, 0x53bdf985, 0x9e89c0b2, 0x0a77d808, 0x7cbc1e42, 0xdfe51c2d,
+    0xaab07ad8, 0x6c10d8f6, 0xbdc68566, 0xa4c07a35, 0x3a12dc96, 0x4ddece6d, 0xe27e4d21, 0x7db90d93,
+    0xe0f74f67, 0x8d613fb8, 0x9ea91182, 0xfc7ba7be, 0xb883e930, 0xff838612, 0x45fdcdd0, 0x07031648,
+    0x6c62fa37, 0x4b351092, 0xf8416018, 0x7a81d1bb, 0xc2c7959d, 0x669cf743, 0x73878f66, 0xffcce9ac,
+    0x14d986c0, 0x4785c9fd, 0x21fe8075, 0x5b345a6d, 0x69eb7766, 0x492219e1, 0x2177c915, 0x5d582cd5,
+    0x59584e88, 0xa6a795ca, 0x3840f573, 0x8e913654, 0x8612c3aa, 0x576be86d, 0xb5a031ff, 0x9040cc86,
+    0x6b3173be, 0xd3c2292c, 0x23588fb2, 0xd9f62827, 0x51a930be, 0xeb7d6aa5, 0xbb6dac8c, 0x2d3246e9,
+    0x31c7dca6, 0xbb1e9a52, 0xbd83292b, 0x42e90233, 0x80cf4a2d, 0x6ae5484a, 0x5c287057, 0x9bdc1c56,
+    0xabadeaf1, 0x7d576474, 0xd65a56e1, 0xae0619b9, 0x5c7c006e, 0x628986d3, 0xb05c3096, 0x55d6d768,
+    0x4f9efe28, 0x83383466, 0x8800599b, 0x9b7d147b, 0x0fd448e8, 0xe1211f22, 0x1bda7b0a, 0xfa7f9766,
+    0xd16d23cb, 0xef81f089, 0xc1b2e082, 0x5bdefbee, 0x8b2a0b4f, 0xe54dc0c3, 0x278593b8, 0x34ef5f2f,
+    0x6aeddf2b, 0xe0ffabbf, 0xdf080583, 0xea427ca8, 0xddf7044b, 0xcd22e82b, 0x51b2c100, 0xad73ad3d,
+    0xd9ead681, 0x30cbccba, 0xa40297d3, 0x87a4434d, 0xc2d63727, 0x2ff61ba3, 0x04f8ad8a, 0xd065657a,
+    0xedbdd3a5, 0xf5daa822, 0xb93c0ad6, 0x9325adb4, 0x55c25fb4, 0xe123cced, 0xac2a1ba2, 0x1408772a,
+    0xe41564b6, 0x7d2f7fe0, 0xdd56dab0, 0xc8b79660, 0x7da3a062, 0x75d27a6b, 0x538d4b65, 0xbf5a258d,
+    0xf6501249, 0x124976cb, 0x64a7fd7f, 0x59356028, 0x693734c9, 0x20904e1c, 0xdc64f00c, 0xc8c1f2fa,
+    0x72a5ed54, 0x812bdc73, 0x9f4c60aa, 0x732d007b, 0x8c795a04, 0x19f11e99, 0x4e98c560, 0x74cfd967,
+    0x8da8cf53, 0xf1e1ade2, 0x0fa361c5, 0x151fcc37, 0xc73311a7, 0x4468faae, 0xc86474b7, 0x2ce43767,
+    0x5e9787f6, 0xec6092b7, 0x12fd7e49, 0xad5d44fe, 0x57195dd4, 0xab2bd397, 0x93f16b9e, 0x351f5f72,
+    0x4cca0b4e, 0xc245d7b5, 0xbce30692, 0x4a669740, 0x0fc1b68e, 0x4a907037, 0xb7299494, 0x38a57519,
+    0x36ad7aaf, 0xec61e869, 0x24463cb6, 0x601dd04c, 0x6fa90d91, 0xfb8274ab, 0x31a4a364, 0x0a29effc,
+    0x4ccc2d9c, 0x1a47881a, 0x8fadfbf4, 0x70081186, 0x94994452, 0xf88d3787, 0x16c1abb8, 0x86f6b0d0,
+    0xfc4ee876, 0x9a62eb82, 0x487c05ce, 0x6f119d47, 0x90e50699, 0xc56d3783, 0x78116fd8, 0x5857bc88,
+    0x3737d4e2, 0x5072d2c1, 0xce887b0a, 0xf46a1044, 0x1ab00bc5, 0x094b28b8, 0x094d9748, 0xa129918a,
+    0xb1d3e716, 0x4a75ffcd, 0xfaf83f5b, 0xbbcf2abb, 0xc05b5deb, 0x18d951b9, 0x8b4eb15c, 0xf14213a4,
+    0x0df91162, 0xc4660c7d, 0x65cca046, 0xcd2c7599, 0x2125c0c7, 0x40bba2da, 0xc288427a, 0x1c0c4877,
+    0xbc43da48, 0xbdadfb66, 0xf2ab5dfc, 0x232803e6, 0xe7ef51cd, 0x92123471, 0xb021da4b, 0x70f745a6,
+    0xd1e81c3e, 0x82b6b893, 0x257f5f11, 0xfd8f1559, 0x608bc392, 0x34fa75c1, 0xaba21e97, 0xc0319427,
+    0x70b6e761, 0x6a577b04, 0x1d50821b, 0xe4ec48ad, 0xf9bf9de8, 0xfee725e4, 0x2f5cc87a, 0x7d21768b,
+    0x98c8784d, 0x208b7aed, 0xfebe8ede, 0x0fc99b1d, 0x0e39ea0f, 0x9a8abbf7, 0xe4ebeafd, 0x9d23d709,
+    0xb60cfcfc, 0x5ce51d3c, 0x432565f4, 0x0e88a918, 0xed11ab2c, 0x3cc8add9, 0xec6a2908, 0x719bd4dc,
+    0xa5ec57d3, 0xf80fbf44, 0xc31517ba, 0xb6102d8b, 0xc756b8ca, 0x76cf12b3, 0x4f3e2b93, 0xac8fa275,
+    0xa0e25f64, 0x43290d82, 0xcc3cbc87, 0x2738b01c, 0x6bb337c6, 0x913a86f6, 0x6155664f, 0xb23cdedd,
+    0xcc4085aa, 0xcca0bd5b, 0xf5f91864, 0xb829c702, 0xc6519474, 0x38c9c49e, 0x1d9de3bf, 0x3bd590f0,
+    0x4f56c71a, 0xc1e02dfb, 0x57d9153b, 0xd937e5ca, 0xb621e14d, 0x2d0bdb5f, 0xe6f7a767, 0x15d38d3d,
+    0x7c5b515d, 0x4573adac, 0xbaceaa74, 0x17e55670, 0x9ccadaac, 0xfcd7bb02, 0x710b5946, 0x83ee0b43,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000004398046511104 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000006a4, 0xd3c25e67,
+    0x00000000,
+    0xe870bd3f, 0xfc21b004, 0x2a9ca7e6, 0x1eca1648, 0x3e078cad, 0xd42c752d, 0xe84b6c2c, 0x103b9b35,
+    0xf42b2e90, 0xba04e8e8, 0xeceba729, 0xfff97d41, 0x75902a24, 0xa3ad92e6, 0x516d174a, 0xe8155468,
+    0x7dd12d7f, 0xf120b489, 0x0135d591, 0x713d1ad4, 0x023d8ad4, 0xc9a1d26c, 0xd634ff6c, 0x7e6fe89f,
+    0x2c9abe0a, 0xf17ec173, 0x93ed813c, 0x30fb717f, 0x621bd9ec, 0x0af0274f, 0xe7b2fcdb, 0x5a88fd78,
+    0x9cf57a00, 0x4044a2c3, 0xd1ec8b36, 0x7ee2dc1e, 0x7eee72d6, 0x26369bfd, 0x215f15cf, 0x6525e961,
+    0xa317c312, 0xac05f75e, 0x44d7a263, 0x46abf947, 0x8cbd1236, 0x08a295a7, 0x547639eb, 0x3d9424be,
+    0x92bbd12b, 0x7da4b03c, 0xdd9d6bbf, 0x040da633, 0x24f21cce, 0xfbdcfad5, 0x7f045fa5, 0xf5dda723,
+    0xead9e5d0, 0x8949f521, 0x54fc5976, 0x7fc27f61, 0xc0a37596, 0x1b373848, 0xf15fb308, 0x6fe16fd8,
+    0xc9c71d0d, 0x3ae7a78c, 0xb1fdf148, 0xf3c0f666, 0x026f6312, 0xd66d894c, 0x9ccd8933, 0x2e226924,
+    0x8267502e, 0x8b08471e, 0x6b9aea1d, 0x159c7620, 0x3614bc38, 0xd6f1898d, 0xe6d17186, 0xe3c5f086,
+    0x50553e86, 0x52eae65c, 0x093de59c, 0x92099d96, 0x7fbe6576, 0xe471c02e, 0x603c4bd0, 0xbd134144,
+    0x7a24e836, 0x7eed1d6f, 0xf184966a, 0xca38f4fb, 0x42bc8970, 0x6043de16, 0x6cdc074a, 0xd2ec3f9f,
+    0x6a26bf46, 0x6776b966, 0x43e3d3e5, 0x5ba4149b, 0xe6501fc4, 0x3f93a319, 0x4563e722, 0x0f42806c,
+    0x7d6942c1, 0x5b943430, 0xe3e78e81, 0xb8a10619, 0xe9b38530, 0x5a0a04cf, 0x56114209, 0xa8c4937e,
+    0x7a9dbcc8, 0x72235c40, 0x8c67e9c4, 0xa902384a, 0xc96a4b43, 0xdb3c26f9, 0xaf32c4a6, 0xa214daaf,
+    0x12fadacc, 0xf46c3062, 0x2f267c1c, 0x8dca3035, 0x9d6afd87, 0xc08f7211, 0x95b58107, 0x92a27003,
+    0xef132e48, 0x659d6cf8, 0xab44cca1, 0x3d4b6841, 0xe7f01e9b, 0x11f069e7, 0x55a432e1, 0x297ee08a,
+    0x3a668dab, 0x84e976d1, 0x0ed1f264, 0x53d3a8b0, 0x3af125c4, 0xf041f72d, 0xbf697983, 0x1762cf9e,
+    0x696d4cbb, 0xe2199ea4, 0x1896305d, 0xb54155c0, 0x8bce5022, 0xd615aec7, 0x7762e7e7, 0x15f29ecc,
+    0xfe984caf, 0xb1108682, 0x46527484, 0x8ae59dcb, 0x8a70d432, 0xe6f5bee1, 0xea0df64d, 0x26914336,
+    0xa08cb85d, 0xaf28756e, 0x30b94269, 0x20e5d5fe, 0xc530059d, 0xa008c0f4, 0xf2b3b346, 0xc6213173,
+    0x735a5638, 0x30b82100, 0xbb11ee2a, 0x1f78f809, 0x4dd339e2, 0x6b6f5c64, 0xbe237480, 0xbabb1863,
+    0x6cd32ad3, 0x4fc392f1, 0x41e48586, 0xc0168dc8, 0xa819fd39, 0x0194af1e, 0xf59f14aa, 0xc864f0ce,
+    0x6712ae05, 0x00c92640, 0x66ca7cf8, 0xf8f16fe3, 0x5eaf75b1, 0x8c30a3d7, 0x607b27f4, 0x6a3efef6,
+    0x084b4395, 0x1b51ca18, 0xa7b1d514, 0xf29809f8, 0x708c5e57, 0x51a4a966, 0x1ea56bfd, 0x28966007,
+    0xaae41ded, 0x0c8ed027, 0xb7d204af, 0xb59ed7cd, 0x43f9b246, 0xca88a4c2, 0x0419822d, 0xa23bbdaa,
+    0xaac0f0b0, 0xef967384, 0x799d89f2, 0xc4151889, 0xc0b510a5, 0xfdacdbc2, 0x58c85116, 0x6ae6af7c,
+    0xd057a691, 0xbec5d701, 0xa6e4a897, 0x9f1dbb7d, 0x25fb6df4, 0x12fdc628, 0xaf9ead8b, 0xb286541b,
+    0x2ec96967, 0x17ebced5, 0x9ad89d65, 0x4eec629a, 0x0a4fe9e8, 0x1ff2e499, 0x257b7109, 0xe8272e52,
+    0x28dc5574, 0x73df32c6, 0xd19d0751, 0xc708edbc, 0x30c55379, 0x91ab55f2, 0x627f5435, 0xe4b1985b,
+    0x80f35e2a, 0x909c7c1f, 0x4ea475d6, 0x7fb642c8, 0x50f45789, 0x10d6ea1f, 0xeac45a5e, 0xa6a454aa,
+    0x3b2d60e2, 0x5dd37be2, 0x707815cd, 0x96a2e5f0, 0x1aad8121, 0xc90ad651, 0x19253526, 0xbd1e9895,
+    0x43ac5427, 0xec1e07e2, 0x1ee3e796, 0x779b7623, 0x0f3c9bfd, 0xca15b9ea, 0xa5ed2267, 0x62f7a254,
+    0x80fafd69, 0x25f8e451, 0xb6e82589, 0x28f0e8f4, 0xcc7d879f, 0xa976939c, 0xbf1c9e8f, 0x204ae4f1,
+    0xcfc85074, 0x74a4144e, 0xb89411d0, 0x987736e9, 0x8962d990, 0x6dee7f3b, 0x00258f36, 0x8470cd5d,
+    0x8109c4dc, 0x5d499c64, 0x3cdb3edc, 0xed123fcd, 0x5bbb4989, 0xf928131e, 0x500a000c, 0x87f5f9fa,
+    0x81c026c1, 0x78cc7113, 0x24b12085, 0xfbde01e5, 0x4f0f86bf, 0x755e814d, 0xb25b790a, 0x7a3a4d83,
+    0x7184770a, 0x9e4df4f2, 0xe8f993a7, 0x5a7d5c9f, 0xda5580d4, 0xbc45e76f, 0x1f61e75e, 0x912b5b68,
+    0xf811b0f9, 0xa081c8b9, 0x00601dd3, 0x2dd361bd, 0x73203f55, 0xa5149b7f, 0x1c4ae4d5, 0x5bdcb19b,
+    0xffe043bc, 0x76ef6245, 0x8f4ec026, 0x336cf3d6, 0x44fca299, 0x434b0f64, 0x936c4795, 0x331d276b,
+    0xec4bd6dd, 0xfe23fef1, 0x1d6238d1, 0xa045e2a1, 0xc365bd09, 0xd406bc16, 0x7597864e, 0xf9ce3218,
+    0x9a3cf8b6, 0x3d3d9d80, 0xc5c4ba01, 0xfee9bbd9, 0x64e95e7f, 0x090ea79c, 0xb35c1548, 0x0b71a864,
+    0xcd79cea8, 0x9b2af76b, 0x7c514740, 0x8378f234, 0x73ebaf7c, 0x468a80c5, 0x7fed6ffb, 0x10f0df87,
+    0x0e8b0702, 0x4943d609, 0x5e0a74d4, 0x89a8ce04, 0xdcbbc9bb, 0x2705847c, 0xc3988ed8, 0x65903212,
+    0xf6d15fb0, 0xe5fda7c9, 0x03eaed98, 0xeee5b1b5, 0x8ee267b1, 0xdf53e1d4, 0xb1c441c9, 0x3c5aa044,
+    0xae1be21a, 0xf6e7f587, 0xd3b82860, 0xb3ba4229, 0x484463fb, 0xc4be3e12, 0x6cf0a9b3, 0x03498ebc,
+    0xc0dd3e5a, 0xd0d3ddaf, 0x3ec239bb, 0xaf19edcb, 0xb48fb47e, 0x76b3287f, 0x15d013c2, 0x1edfefb4,
+    0x09ceb7fd, 0x5ec7ae02, 0x1150889a, 0xa28af621, 0xf40261c5, 0xf8487c01, 0x817e29a3, 0x9b2c4385,
+    0xd5ad5c3e, 0x0a03d8d4, 0x923fcbd7, 0xf84aa6e7, 0x76a3293a, 0x9419adeb, 0xb0bb58af, 0x6a0385e9,
+    0x34577b3a, 0xe9a083ca, 0x9420e18e, 0x579eee8b, 0x8bdd802d, 0xefa1c01d, 0x3f2ee164, 0x2b379ddc,
+    0x1f6ccafe, 0xe65930c7, 0x177b00c0, 0xfcf014b8, 0x20ec7d30, 0x8a51316b, 0x6b62766e, 0xf4ca207b,
+    0xdd9afd69, 0xaa08b7ae, 0x07ee2dbc, 0x978ea0b4, 0x990091df, 0x3a7a6078, 0x0977ce9a, 0x0e4ddc04,
+    0xc143104e, 0xd00a135b, 0x99a6a1aa, 0x1793ce12, 0x5a5224c4, 0x5cdba3ac, 0x39ded1c9, 0xf9915e0e,
+    0xc32fd4fc, 0x9d256146, 0xf0f8cae9, 0xd26c3c8f, 0x0d1a0f2b, 0x81b1530e, 0x66f3106b, 0xaa6d7978,
+    0x12fa84ce, 0xc00864e2, 0xa54e5a9c, 0x283ba3b5, 0xab3206cb, 0xf999dd0a, 0x39a3f3f1, 0xdea2cf73,
+    0x03180fb0, 0x7a7b93bc, 0x3672ba29, 0xdb2dae5d, 0x4fdb89c1, 0xa6847b2a, 0x8d170805, 0x5a8a615d,
+    0x5a59f44a, 0x09dd388a, 0x000cc9b8, 0x3d40e202, 0xf18220bb, 0x538f7c7e, 0x4c289fbc, 0xb244406e,
+    0xe64d49e5, 0xf6eaeadf, 0xe7074ffc, 0x1e1d9811, 0xc3dac256, 0x7bfdb1e6, 0xa13fcab5, 0x7e15769b,
+    0xc91c3e56, 0xe03ed32f, 0x3241a710, 0x4edc032e, 0x0183f7de, 0xe0095c6d, 0x5b915d4f, 0x0a5c38df,
+    0xe03851b2, 0x7a7d60a5, 0x49868f82, 0xd7b7b76b, 0x076d2801, 0xd27bcd77, 0xbb40b66c, 0x66ceb38d,
+    0x92a7d09d, 0x6ac710e1, 0x43dafa7b, 0x2f7bed16, 0x37eac172, 0xcc26d67b, 0x487ccd88, 0x059dbf21,
+    0x1911ee52, 0xeb62ee47, 0xf6e5bc54, 0xfb3261d8, 0xd27ca896, 0x36108e78, 0xf79b3173, 0x97b7e264,
+    0xc3ae4175, 0x553bcb34, 0x652f0fbc, 0x8f197d4c, 0xef741e6a, 0xeab8d724, 0x0664f89e, 0x9d98a1c0,
+    0xf19e2be3, 0x98364568, 0xb20645a0, 0x59ad721b, 0x3e964256, 0x617ef2df, 0x64c69309, 0x6eacc1f7,
+    0x3464cbb4, 0xcac5e8ce, 0x8b6a1fb8, 0x908cc56c, 0xc3f79394, 0x38035276, 0x3f061b1e, 0xb1d455d9,
+    0x8c5a4c57, 0x4ac67136, 0xe7174453, 0xb925692e, 0x3ec55048, 0x49462eeb, 0xb8857110, 0x8185a034,
+    0xdffdafa3, 0x13f07a7f, 0x744e71f1, 0xd51fdf88, 0x8bbbb9d3, 0xab4779b0, 0xb2bfb5c0, 0xf3d6db53,
+    0x47244c2c, 0xa20f56c4, 0x5a97845b, 0x3805ecc8, 0xab60080b, 0x7d2504f3, 0xe0746943, 0x8ed492b2,
+    0xc1a3de2d, 0x4158ea9c, 0xe8f9794f, 0x73a15b43, 0x97aa1912, 0x327a8f31, 0x5b445188, 0xf362367b,
+    0xa2002b6c, 0x857d388c, 0x4a27bdbf, 0x703b9bd2, 0xb1a0cc95, 0x5bc72a37, 0x2ab21a9a, 0xdbb27fc3,
+    0x23e9933c, 0x04ae2159, 0x04615bb0, 0xa3fefbef, 0xb2419214, 0xe633f717, 0xd0af52cf, 0xa50a2bfe,
+    0x4741869e, 0x53c38be6, 0x72f7e804, 0xb9513812, 0xad185e17, 0x96b0c3cc, 0x6999a868, 0x8beb9930,
+    0x894bc6b5, 0xd2303688, 0x6a4c5e7d, 0xe2048af7, 0xfb0481ab, 0x5ee29151, 0x4758726d, 0x5ce2b15e,
+    0x4dd0e22b, 0xc064af6b, 0xb25bfbf6, 0xfbd1a8da, 0x8a290703, 0xc0bbf3be, 0xc0f0a2fe, 0xd8b87a90,
+    0x87066479, 0xf8a0036e, 0x6538fbe1, 0x45cad087, 0x8fdea7c7, 0x02783b04, 0xea5133ec, 0xfe3cdc17,
+    0xb793de71, 0x83d236fe, 0xdd83a81f, 0x09d2322b, 0xcb22822c, 0xf6464d11, 0xb2329986, 0x7adc9a54,
+    0x451c16ee, 0xbcb13460, 0x14ae4b66, 0xe49224a2, 0xf99bac45, 0x2ecadea1, 0xb054fa8a, 0xb8b9a66d,
+    0x04372c5e, 0xe2075603, 0x71f37101, 0xebb349b8, 0xf7b10bf0, 0x192a9fa0, 0x8a0af30f, 0x28a09f4d,
+    0x54bb3378, 0xd219017d, 0x272acbfe, 0xb376bfad, 0x1f60d999, 0xcbf3a4a2, 0x94961fe8, 0x52f6f109,
+    0x57b6773f, 0xc884f0d0, 0xc9e428cb, 0x24cbf183, 0x9fe68d47, 0xb5d2dee5, 0xf51b60a9, 0xe408ce17,
+    0xa613818a, 0x0fd7e28d, 0x6bae4a64, 0x4ce5c647, 0x20a90ec0, 0x3474b980, 0x3fe3c801, 0xc0aa6bc2,
+    0xf4a058cd, 0x90779ca8, 0x5fbeea29, 0xc115c3b1, 0xc5c04e69, 0x0627a0a8, 0x73b1e041, 0x972f5e93,
+    0x78228cf3, 0x35e7f419, 0x21e94d44, 0xa5f66096, 0x0687f972, 0xca0dccdf, 0x09d5c46b, 0x1298a2eb,
+    0x18f5424e, 0x30392447, 0x5487279e, 0xb26d77ea, 0x88fa82ed, 0xa91753eb, 0xb9e0cf6b, 0x15d20685,
+    0xa221b36b, 0x5748d14b, 0xfa92a3de, 0xc392c342, 0x48d81ff2, 0x831ffdb6, 0xdf3cd46e, 0x09eabf9d,
+    0xf0c04aef, 0x73b1c65d, 0xf61c4186, 0xe04e52f7, 0x14f6813d, 0x862e869a, 0xde8be219, 0x27073901,
+    0xc7a5ae52, 0x3af88b32, 0x1e1f1482, 0xe18c6901, 0xf9105e37, 0x6da8b465, 0xbc301dc2, 0xbdd88499,
+    0x4ae59975, 0x70a03c00, 0x06c9e771, 0x56cd17de, 0xd04ad255, 0x13afcbd9, 0x84b883ec, 0x2f8bded6,
+    0x4387de6f, 0xdb565ec5, 0x3fec4563, 0x969e06cc, 0xd1e82607, 0xcb00f2cc, 0xb1167490, 0x49dd8032,
+    0xa699d74b, 0x48067cba, 0xff6311b0, 0xee404177, 0x158636b8, 0x25f6d867, 0x99dfd7d1, 0xda02f68d,
+    0x2b19b86b, 0xb4965642, 0xa38d73fd, 0x74963b75, 0x3e9e26a0, 0x3c1dedca, 0x1fd0e982, 0xc5d505b0,
+    0x5d403c00, 0xbf42c87c, 0x2eef0ae3, 0xc52df37e, 0x389e005d, 0x85754606, 0xb668f360, 0xa8039b33,
+    0x20d2e46a, 0xbe32d2b0, 0x2287b820, 0x125d9a30, 0x3185e572, 0x28e17d4d, 0x18fee445, 0x17b8db43,
+    0xec2faade, 0x9efe95c0, 0x3def8549, 0xd727ce6d, 0x55f84ab1, 0x5c03343b, 0xd2747d33, 0x627afb91,
+    0xb67d3fd9, 0x784a0bb4, 0xdc51be0b, 0x20aea9d6, 0x5d5a1b6a, 0xf4c4d344, 0xff22978d, 0x9644cffe,
+    0xbaee695a, 0x73fb8ad8, 0x2fe9b8af, 0xcbecb095, 0x93ba1723, 0xf338410b, 0x681c50d4, 0x2145a566,
+    0xe1bff12c, 0x21a20b32, 0x745f369c, 0x1cbcc839, 0xdc430ade, 0xf6e1ef49, 0x4609311e, 0xfb30f019,
+    0x8969fd8f, 0xb5e59c55, 0x47fcf50a, 0x5f9d9079, 0x3492b29c, 0x00566523, 0x926b865b, 0x6f62bc0d,
+    0xc52410c7, 0x39612a80, 0x1fcf7377, 0xd0d7de32, 0x11b66ad4, 0xfe82ae90, 0x142ae484, 0x33ba2d4b,
+    0xe306beea, 0x3b2e0160, 0xfb3029aa, 0x541b26a9, 0x857448c2, 0xe42efb91, 0x49b6a9eb, 0x32c315fe,
+    0x0c13a3ba, 0x95fe475c, 0x2d20abee, 0x139ba1ad, 0x89c879be, 0xe7181c6e, 0x0778af91, 0x73e3a40a,
+    0x223379fd, 0x6bc72fbb, 0x803f69eb, 0x4c9bb3b7, 0xcaa85fe7, 0x940ef5da, 0xb7c90c37, 0xfe51abf9,
+    0xc4265ca5, 0xc1ebd94f, 0x21375142, 0xa5e0668d, 0x9caaad23, 0xaf7920ed, 0xd4cef373, 0xae107e0a,
+    0xed795d5c, 0x9a49d6f0, 0x93110443, 0xdd6cba3b, 0x412bcc59, 0x227bd63f, 0x3eccdbc5, 0x1f5f5571,
+    0x1633004b, 0xb6330b29, 0xbeaa2869, 0x0a433f45, 0x31343b15, 0xd6cd0a8a, 0x8882532e, 0xd582850c,
+    0x0a9a1475, 0xdfee42ab, 0x91227b39, 0x0da3def7, 0x0cfeab6d, 0xd2c03fe4, 0x71d8e705, 0xc759bf98,
+    0x0cdaedf3, 0xd1a7f802, 0x107aa36b, 0x78a77e33, 0xdda38c3f, 0x01efe7fc, 0x259878be, 0x85e6d542,
+    0x7bdde68f, 0x087d0fb3, 0xad4092a9, 0x685f8e64, 0x71f38396, 0x75c8b906, 0x8e84734b, 0x683b4f82,
+    0x262eda9b, 0xa363dedd, 0xf2d38282, 0x6bfe0bfa, 0xf54a05e0, 0x7c29f721, 0x03085bc8, 0x85091c9b,
+    0x2798f67e, 0x9875a221, 0x656f2699, 0xc2bbcba8, 0xc06ca5d4, 0x72efc501, 0xa691e5ca, 0x0db2cef3,
+    0xe114c842, 0x7fc0fac4, 0x9d602bc7, 0xf94a4cb3, 0xf22157a4, 0x4ead6375, 0x4259bb6d, 0xbf543bfd,
+    0x843aa690, 0x95300f2d, 0x863356d7, 0xf94cf105, 0x4dac7546, 0xc69ad660, 0x962bb561, 0x8ad5c980,
+    0xf0550012, 0x246f70e8, 0xaef65297, 0xd6989214, 0xf82239fb, 0xd679be65, 0xe6147c20, 0x5b794a89,
+    0x3bb5a1d8, 0xbc47ab91, 0x71492c62, 0x0f6e0ca4, 0x1fe2f786, 0xda948c0c, 0x627ac998, 0x4d23b978,
+    0xbaf46462, 0x25f6f663, 0xc92d3e02, 0xad6a852e, 0xf0501a02, 0x320d1bac, 0x02be47c5, 0xef9a228a,
+    0xf8576254, 0xbbaad23d, 0xe86e7889, 0x964c32c4, 0x41f358ed, 0x7de61859, 0xe66fd9db, 0xf965783e,
+    0x6e1d215f, 0x72b52837, 0x040a9065, 0xe6bca115, 0x55d1d218, 0x43c80aba, 0xd1bddfb0, 0x1f26d835,
+    0xf46cece1, 0x2fb8c2e8, 0x2cf15ffe, 0x22c7ebb4, 0xb0def9d1, 0xca3ad9bc, 0xfaf39a83, 0x49e3ae1d,
+    0x5c5f4366, 0xb3ecae67, 0xfb73073b, 0x86c00883, 0x9d0b91d3, 0xced38431, 0x8032998f, 0x14182502,
+    0xdbb0ad19, 0x96abcc60, 0x8655a950, 0x6a21eed4, 0x15fc7a20, 0x4f05dc01, 0x8b389a89, 0x3cd938a4,
+    0x8d30a3eb, 0x681b1755, 0x0ca99187, 0xfc458f3f, 0x561e1fc4, 0x3c37d2d5, 0x9ea2b1c7, 0xa53dc4b8,
+    0x6c28af7e, 0x7aa584c1, 0x60b77440, 0x2edf4774, 0xe03731b7, 0x84f632a3, 0x0d3decfb, 0x0aebc795,
+    0x3605ec6f, 0xa8f8188d, 0x6d2849d9, 0xf4ddd05e, 0x7d5f05c6, 0xd05359cd, 0x6c2dc139, 0xe182252b,
+    0xae52fa5b, 0x725e4b0b, 0xe4d33348, 0xa89049c8, 0x55c4a5cf, 0x3a893b01, 0xd930fa3d, 0xe336d9ba,
+    0xe3829aa2, 0x8ca32f5f, 0x93548ff8, 0xe42a06f1, 0x54c75ce0, 0x47f39df7, 0x0feca84a, 0xb7216bc2,
+    0xcfbf3e81, 0xa59f735a, 0x5f83100f, 0x8c87cac9, 0x1d6f6cc8, 0x0bbdba23, 0x9252e413, 0x3f8a15a7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000002199023255552 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000352, 0x69e12f33,
+    0x00000000,
+    0xac7d1edc, 0xe7289eea, 0x9b181ef0, 0x82f084be, 0x45333511, 0xd5873457, 0x3cd23e8d, 0xaea8bd41,
+    0x4b6ed2aa, 0x5950504d, 0x5f1160a8, 0x92804b0c, 0xeeac605d, 0x2b9e02db, 0xf52c2882, 0x5addd70c,
+    0x347c220e, 0x7777a918, 0xdc5a9c56, 0xd3359c7c, 0xa0004d4e, 0x648a606b, 0x496e3c68, 0xad40ffa7,
+    0x5e7475be, 0x7211b591, 0x443cce14, 0x34d40142, 0x85a8bd00, 0x41df12ba, 0xbe3453a5, 0x58980e92,
+    0x68439db6, 0xe83d66f9, 0xf1905057, 0x9e0b97be, 0x35426e77, 0xca99e3a6, 0xc3d1c02b, 0xfebb779c,
+    0x6a95cb53, 0xd14600b2, 0xaa6466c9, 0x8dfe4474, 0xb73fa9a0, 0xd025760b, 0x5316a88e, 0xb1799a1c,
+    0x989c4e82, 0xdc04a0a3, 0x7eb0ecfc, 0xf1612b87, 0x2ce535bc, 0xe078ddaa, 0x9764b6a1, 0x85eb3f90,
+    0x34299f82, 0xed21ffff, 0x446ede6e, 0xb734c872, 0x5f1be3e9, 0xbaf8cfb8, 0xc08945ab, 0x49bb9c99,
+    0x5c4f3b8b, 0x84e2db2e, 0xb6cc8de2, 0x806fbbea, 0x7005ff8b, 0x4bd884f3, 0xd2d9da33, 0xaf38b037,
+    0x2e455cce, 0x36c16818, 0xf8a03073, 0x07b60456, 0xfef17b5b, 0x5c6e582b, 0x81ae3c98, 0x55c2b319,
+    0x2a2a511b, 0x49b5599e, 0x2f1ad0b3, 0x191b277e, 0x302d3d97, 0x6848f608, 0xdfe0315c, 0xe23b95f9,
+    0x0366e795, 0x9ad08119, 0x7d92e00f, 0xd8e81d75, 0x862df441, 0xb1521226, 0xfafad2ef, 0xdc1e0322,
+    0x3230ae60, 0x68546dc6, 0xfbeed8b4, 0x0bf040a3, 0x151c7884, 0x67f56c41, 0x99cf11ad, 0x690be966,
+    0xaadf8595, 0xf09ce0e5, 0x90c3682d, 0xf5c71072, 0x8bfb0c21, 0x41e3de40, 0x4c9ea8ae, 0x0133f715,
+    0x12109208, 0x25160490, 0x768adeeb, 0x3ac0a94e, 0x5c9416c4, 0xaf382073, 0x51f24f8f, 0x969eaeea,
+    0xf18d4901, 0xd2af5451, 0xf53c154e, 0x4c30cc4b, 0x355808ff, 0xe1657c89, 0x05ebe149, 0x518cfba4,
+    0x3e716930, 0xb144df80, 0x0d1cff8e, 0x9d1f896b, 0xb6103e75, 0x8c48368e, 0x422b751a, 0xb1289012,
+    0x72f0426c, 0x36b0b15a, 0x32414973, 0xd9fff284, 0x2e4e39c7, 0x1b06ac39, 0x8268c398, 0xe59dd816,
+    0x04c2b1af, 0xae196384, 0x50359ae4, 0x827ee7bb, 0xffc462ab, 0x97bd65ec, 0x3d29d179, 0xc4a780b1,
+    0xcdffbb87, 0xe86d5c58, 0x4e6696d6, 0x584163e0, 0xdc692553, 0xcbea4f7d, 0x81f3e38c, 0xd795f487,
+    0x3a8a8a39, 0x2534a527, 0xe755c943, 0x43705e98, 0xd9f161f7, 0xeb8b8695, 0x00ce0446, 0x0348a6f3,
+    0xb3894ef8, 0x3cfb4f60, 0x20f66172, 0xf79518b7, 0x22152ecc, 0x6e2eb88a, 0x4c4ef7b1, 0xf5e6aa6d,
+    0x8c328127, 0x2c5d58ab, 0x0eae7f6e, 0xd10cf3d9, 0x8ac670d8, 0x6856b7c7, 0xa300cadd, 0x93d2ff07,
+    0x1757a60e, 0x7e3d0e7f, 0x235f908c, 0xc2deac4e, 0x8ef9ca28, 0x3c83892c, 0xc32ad90e, 0x42448df4,
+    0x8f08d727, 0x5ff1d14e, 0xc1ea57a1, 0xe4ab7858, 0xa5725245, 0x89400c5f, 0x81efa36a, 0x82667859,
+    0x3c6c5423, 0x7707491e, 0x032a5441, 0xfd66c3b9, 0xa0cd9422, 0xa876a9ca, 0x427cb965, 0x6a4e24a2,
+    0x27131f2c, 0xd986420a, 0x551199e7, 0xa900f1c8, 0x09f07b6d, 0x9c7e2c22, 0x7ed6d55f, 0xd9245591,
+    0x71c58945, 0x3e09e840, 0x6827b2c9, 0x90c4ee48, 0x9f91f280, 0x26176da9, 0x38edaa70, 0x998884b3,
+    0xaadada1c, 0xb5f8e631, 0x78f68515, 0x1f6b8c7e, 0x22cb1a05, 0x66f82b50, 0xbec6fed1, 0x5250c0f7,
+    0x69676999, 0x1b84374d, 0x22fc017e, 0x1094d3de, 0xfd9c76c5, 0x65b6ef0c, 0x1df620c6, 0x0235ed64,
+    0x0f3867f3, 0xfff604bf, 0x64ffa5d6, 0x00a305a3, 0xfbfb06bc, 0xfd7600c0, 0x51e5bfaf, 0x130d29d5,
+    0xec2dcd91, 0x7ad3d166, 0xfa3c405a, 0xb20cb60a, 0x0a314312, 0x02a9b6e0, 0xa7285152, 0xfbde626e,
+    0x9284161a, 0xbd7ce402, 0x9e3ba523, 0xf08b5760, 0xed17211a, 0x91915646, 0xc8d29f2b, 0x4b13b13b,
+    0xfa2a2103, 0xe3fa09d1, 0xa4324d3d, 0x7298a068, 0xa3e45f65, 0x2dc53a91, 0x9de68926, 0xee1d1f62,
+    0x5512ff00, 0x1b5968bb, 0x9c93f824, 0x33701673, 0xc052beff, 0x6a0aedc9, 0xb3d20393, 0x594788da,
+    0xa3134a06, 0xb5f4c61c, 0xc5212728, 0xe5b041d0, 0x641879b6, 0x99178af5, 0x551055a7, 0x9a60ba60,
+    0xb674b51c, 0x3d83d676, 0x6ff87545, 0x80513872, 0xf67f896b, 0xf8935d15, 0x9f627a02, 0x19dbe27f,
+    0xc9f90b77, 0xf4af8b45, 0x76bb1ef9, 0x8336da4a, 0x186f7f7c, 0x73950ce2, 0xe79dab25, 0x13a0d1e1,
+    0x5b2c62a9, 0x32e15394, 0xabdd1eb8, 0x5a990658, 0xcfde4d4a, 0xb2b63bfc, 0xfad23d02, 0x66e7ff4d,
+    0xd8551546, 0x601df76f, 0x85bccae9, 0x938142d1, 0x6a4247d7, 0x7d57bdf2, 0xe4f76ef7, 0xfd9c743f,
+    0x96ee71d3, 0x6a871d09, 0x658548e5, 0x65a9eb25, 0x94c33bfa, 0xb79259ed, 0xc571a7f3, 0x877096e4,
+    0x2b5d3f5a, 0x17001931, 0x0cbc7eb8, 0xdd9236d9, 0x33851608, 0x467ce4a2, 0x9fca8560, 0xe8c93491,
+    0x469a70a0, 0xe921daee, 0x48063b8c, 0xed23f702, 0xc7b0b45a, 0x129e0e2c, 0x28deb1f6, 0x90764d22,
+    0xdeae384c, 0x788611d2, 0x26888141, 0x228c22c9, 0x88daf9ce, 0x98eaa956, 0xb9857f95, 0xac3428e2,
+    0x629d2d47, 0xb1637286, 0x3698342a, 0x154cf0e1, 0x1bc27692, 0x53423f47, 0xf5969f65, 0x7ab4e95f,
+    0x960ddd1c, 0x9c762cd9, 0x210a08f7, 0xe7682d8d, 0x1096d28b, 0x1087a726, 0x9f5d4152, 0xb3443e42,
+    0xba8a2a3c, 0xbd2dfbca, 0x2b0e31aa, 0x9fe29fef, 0x505bedf5, 0x34ff274e, 0x346b8511, 0xb2770144,
+    0xcda8c6eb, 0xd83262a8, 0xea148eee, 0x97f11c43, 0x54fbd7f4, 0x6c36da45, 0xf2f6c366, 0xfd625e25,
+    0x22c4fbc6, 0xcf59590d, 0xdc06b44c, 0x29d30d00, 0x2eb798ff, 0xc9bfa8c9, 0x22e1ed54, 0xca587885,
+    0xac3501d7, 0x95c848b2, 0x17dce406, 0x8e1901a7, 0xe54724ab, 0x50acbedd, 0xa1f9f569, 0x359923ff,
+    0xffc12bb3, 0xad5dfe9f, 0x35a327ba, 0x419af3dd, 0xed66b0dc, 0x74b79813, 0x7e85daf5, 0xeac3dd96,
+    0x0590a178, 0xf4363b2c, 0x1cdb436f, 0xb04540b7, 0xa3cf1396, 0x38d86055, 0x2a8db9c9, 0xd5d3670b,
+    0xf3a731ab, 0x6458ba58, 0xc3eca05f, 0x0eb41cc5, 0x1f37370e, 0xc36663cf, 0xd35d226a, 0x6eb5270e,
+    0xfbe4096c, 0x423df8d5, 0x4b54058b, 0xed64ca90, 0xab70ace4, 0x1946a5ca, 0x1426c8e2, 0x7691a21d,
+    0x06b57b0e, 0x2670dd8a, 0xb434dd77, 0x2d9ffe9e, 0xbda989b0, 0x47ef4297, 0xea83eefa, 0x4b4aa8d3,
+    0x6386ec22, 0xb29dfa2d, 0xe95e5f3d, 0xbf61a53e, 0x350fe936, 0xf832307d, 0x8f56a4fe, 0x74582030,
+    0x846fc597, 0xe4bab54d, 0x15efe4f4, 0x68371b23, 0xcd3313df, 0xab178853, 0x4c8279c1, 0xd6526ac0,
+    0xf2b1e7ea, 0xc1225952, 0xbdd3737c, 0xfd75be42, 0x13e7c0df, 0xf1c961c9, 0xfb20cab5, 0xcda14361,
+    0xb6be6765, 0x5680bdb7, 0x11b2c95a, 0x830788c4, 0xd8af546e, 0xc425842b, 0x3947ddfa, 0x99ae43ed,
+    0x054cb3d0, 0x54fb0ca5, 0x4efcb8e6, 0x357db862, 0xc7b79245, 0x6ca04c23, 0xed00b7db, 0x80d56e73,
+    0x02d01d96, 0xa4a145d0, 0x3e828106, 0x126693cc, 0x80c2ede8, 0x7c834106, 0xfd9b6c91, 0xd0aeecb3,
+    0x98b00cef, 0x449b03c5, 0x543d378f, 0xa1fb7fdb, 0x933d39da, 0x5557a5dd, 0x2702b33c, 0x4e0407df,
+    0x342f0544, 0xeccadc59, 0x716a16af, 0xd6d5345f, 0xb6ad8078, 0x60c91247, 0x43f80d5a, 0xc780bd4f,
+    0xe6e041f3, 0xe48718a5, 0x0550bbcb, 0x6e1b9de7, 0x3e66112e, 0xb5cd67de, 0xd299ee76, 0x0cdb74c8,
+    0x282a2dfd, 0xc49941ae, 0xa9b08a7e, 0x6e5dfabc, 0x3acb8e4d, 0x02070ef0, 0xab982153, 0x7b05959d,
+    0x98ec4a88, 0xa9ee1db3, 0xb8302a65, 0x88147d0d, 0x9995aa26, 0xcf3c9596, 0xde5b73fd, 0xca56444f,
+    0xa72c64a7, 0x18338ffc, 0x7f51995d, 0xc916fd85, 0x5b957680, 0xced2a0e4, 0x80fe21d4, 0xc21c793f,
+    0xa9e314e9, 0xc9556da2, 0x5a2db1d5, 0x8d0c63d0, 0x559b4ee1, 0xbc3c8bba, 0x3091d946, 0x2e51d05d,
+    0xe0610cf5, 0xf1d13a50, 0xcacf84db, 0x0ccdc28f, 0x8ca1ba83, 0x4b2b93bd, 0x2da6d721, 0x200ca2e8,
+    0x9d8f04af, 0x8cff1a71, 0x49ef4687, 0x5977f49f, 0xd5968df1, 0x29910818, 0x6886acfe, 0x36aeb4d3,
+    0xefda5a95, 0x0c58b805, 0xee1678cd, 0xa4bed0b6, 0x3c422aba, 0x0dc3ac54, 0x430be3d4, 0x7cdd95a0,
+    0x582ef06a, 0xd583257b, 0x564158c3, 0xfb51bb25, 0xef2197ae, 0xe6e12214, 0xf6ad8e0f, 0xb087bf81,
+    0xeaa351aa, 0x9463ddfe, 0x521ce90d, 0xbe2656e9, 0xc442c1fb, 0xc1d54bb8, 0x2fcefca3, 0x1d411a3d,
+    0x97687619, 0xf654454b, 0xce33af0e, 0x73820e9c, 0x330f74ad, 0xcad13427, 0x87e41747, 0x74e78a85,
+    0x0fb784ce, 0x921656f8, 0x7e27aed3, 0x98a6dbfa, 0x2e55b4a3, 0x39b0781e, 0x547022e5, 0xe3bd72c1,
+    0x2ddfc18f, 0x7283a6b4, 0x07f6dda3, 0x641dbacd, 0xc8e766be, 0x654fd193, 0xb641fe20, 0x8754f6b0,
+    0xc504a8ed, 0x2ce7f398, 0x13d6b5dc, 0x358039f7, 0xc26a6404, 0xd9152a36, 0xeaa12ae7, 0x8954b989,
+    0x3df60467, 0xbba6dbb7, 0x935369fc, 0x741a477c, 0xffc2f88a, 0x23354b33, 0x3b07b027, 0xa3664c4c,
+    0xa208fdf0, 0x9c35719f, 0xd989d26f, 0xbbcad6a1, 0xe59e4050, 0x5330a056, 0x98ad86c0, 0x35e9ca59,
+    0x508cc726, 0x4283819a, 0xd7d489eb, 0x79b68c2d, 0x41fadfd8, 0xbee9e6c2, 0x4c11b674, 0x4be6b484,
+    0x987eb1f5, 0x5dc3783e, 0x405e040a, 0xc96805e9, 0xc72e4990, 0x0999ae5d, 0x756e6c00, 0x6108afbc,
+    0x2a2c88c4, 0x6ea305a9, 0xdb948c47, 0x4dc6a19e, 0x994f926d, 0x945b4cad, 0x0e3f718b, 0x4e2e9881,
+    0xe0ea6969, 0xf0a894db, 0x4848340b, 0xd72b7b64, 0x2fa7a20b, 0x536a6f86, 0x204836fb, 0x9364f15b,
+    0x51f78a24, 0xe17807ef, 0xd654d6f8, 0x2768e25b, 0x98fba480, 0x21111072, 0x6e8dad4b, 0x51981320,
+    0x47b31afa, 0x54e62898, 0x3b496b5d, 0x04a47cc4, 0x4ec69baa, 0x3c1bc3fd, 0xba4330b2, 0xc09b8cf4,
+    0x922300a4, 0xd32ae127, 0x267d46b5, 0x3ce67ec9, 0x4858009b, 0xd4fe4602, 0x3a6b00bc, 0x3ef2a75d,
+    0x8a8f6847, 0x2d067e69, 0x2c02ae8e, 0x18ce164a, 0x94c85acf, 0xf86e28b9, 0xa8be4bc7, 0xb947a656,
+    0xf088bfee, 0x5da18436, 0x53317a34, 0x5199d55e, 0xa6eaa5d3, 0xcc042a7f, 0x9757928d, 0xf50eea07,
+    0xbdc5f86b, 0xaf2cc350, 0x2e80b43e, 0x3711d19a, 0x6a9975d9, 0xe9f343dc, 0x5dc54d2f, 0x2da33c33,
+    0x9b1d2bf2, 0x8b50d1fc, 0xc597d75b, 0x6b97e4ec, 0x581e3961, 0x9016582f, 0xef829279, 0xaacb943e,
+    0x61217d0d, 0xc332f619, 0x89835cc1, 0x700cd407, 0xcbdd4cb6, 0x866f08ed, 0xf6d652ea, 0xc84c158d,
+    0x3d5b3ada, 0x7ccdebce, 0xd71ed81d, 0xca80f196, 0x2f257fbd, 0x979134a0, 0x83cb29fb, 0xdaaa8553,
+    0x6b925217, 0x0c9d45d2, 0xa960a54a, 0xe5d87845, 0xf2ebb100, 0x5bb7eb16, 0xa0a6e93d, 0xee892819,
+    0xaff6e371, 0x2a225775, 0xb60d8e46, 0x96553597, 0x18eaa4bf, 0x3e2db0e7, 0x50a530b5, 0xa507c486,
+    0xdf9540ee, 0xf9b9aa57, 0x640007a2, 0x8a4660c2, 0x4957259f, 0x23a81df1, 0x94b85f73, 0x173d0c9d,
+    0xffca16a2, 0x64a13e70, 0xfc4a9e6d, 0xbd50ce97, 0x0355b7e3, 0xc396b994, 0xa16e6dc6, 0x110ab85e,
+    0x45c09ab0, 0xee7d6ec8, 0x275c354c, 0x4d416863, 0x01bbfced, 0x82b1fe03, 0x1b47ea8e, 0x2178558e,
+    0x1691a97f, 0xe2cf5b0d, 0xd0aa1f92, 0x0f18b8c5, 0x58e6c5d3, 0x2b40ae42, 0x14803b3b, 0x19539519,
+    0xdd8e8032, 0xd46c140f, 0x81007587, 0x0aa5fd5c, 0x21c1ad74, 0x9704f7a0, 0x838d0441, 0x85411e1a,
+    0xd31e531d, 0x1a1f76e2, 0x29b99e68, 0xd1c15e8b, 0x207c6079, 0xd53ed9d4, 0x24b7cce4, 0xd1b5503e,
+    0x929ef4dc, 0x1b5ef629, 0x88dc20d5, 0xe0a7b149, 0x0e734541, 0x545ac053, 0xb9389230, 0xdc60258f,
+    0xd0d8126c, 0x58745b1f, 0x5bd4fdaa, 0xbd5bcd51, 0xc36751b2, 0xcd6a3f0d, 0x072efdc5, 0xc1c87056,
+    0x2d486a9b, 0xcc176c68, 0x82db84cb, 0xce2aadf2, 0xe36db670, 0x9069a5a2, 0x92bed118, 0x16ac5c08,
+    0xd1d0ef7a, 0x738d4158, 0x57526d4f, 0xcdc2770e, 0xb4dfc7ca, 0xb29579a1, 0xee1ec7ef, 0x5aa68374,
+    0x72e811aa, 0xc7a1cb91, 0xd2427ecc, 0x7d5c2fc4, 0xbf50f27c, 0x57a62e03, 0x2eef8f39, 0xd11d1be5,
+    0xa80b4cfa, 0x962db6bf, 0x286072f8, 0x9212df51, 0xa9768342, 0x47082eee, 0x73a7354d, 0x462fbb4f,
+    0x3e6f0b17, 0x4340253d, 0xf369851d, 0xd69838ae, 0x54976753, 0x7239bd70, 0xb468bf41, 0x506e9411,
+    0xdbac9e79, 0xcb941868, 0x22e4325e, 0xc55ee4a9, 0x98ba1362, 0xe7d965c0, 0xb966a602, 0x17fec0e8,
+    0x1194b1cf, 0xfea62497, 0x9991b7f2, 0xfcca26f8, 0x48edc50b, 0x25b64b84, 0x0580e370, 0xc20bcff8,
+    0xd1881618, 0x3476ec6b, 0xac097a9e, 0x217b980e, 0x748ecfe8, 0xc2f6de4e, 0x95fc8176, 0x10190624,
+    0xd0ff0a89, 0x9407c678, 0xad74ceda, 0xc5636aca, 0x35a7e4df, 0x1b573477, 0x731c60cd, 0x7c4ba358,
+    0x307eb3ca, 0x67d043a7, 0x3d4534f0, 0x6f489509, 0xbde17704, 0x83f7b3f0, 0x12534e71, 0xd44d1dbb,
+    0xb65a4ab2, 0x42c9823c, 0x19c98325, 0x932a4d86, 0x8094e73d, 0x39ab45a2, 0x4f18d328, 0x6435793b,
+    0xc15fc8e5, 0x9f79b8f2, 0x4c8ece06, 0xa412ce3e, 0x59af04f1, 0xce622505, 0x420906cd, 0xac6a895c,
+    0x69239722, 0x989cc83f, 0x1a6e5237, 0x68c5770c, 0x949c7473, 0xe3f184a4, 0xfa1506ee, 0xab90914a,
+    0xec973dfd, 0xd09c7e4f, 0xb96f7504, 0xf2f2b9ea, 0xddd18f87, 0x51850052, 0xccf13d30, 0x94ed53dc,
+    0xd16919ba, 0xd5c92dbf, 0x253ecef7, 0x2d923e7c, 0x0ff4d5dc, 0x5b03bd11, 0x203dbd92, 0x4ceb7cbb,
+    0x561644c9, 0x6e61c5bb, 0x1e443163, 0xfe91b7fd, 0xf30da2cb, 0x970af4d4, 0x6c51a980, 0xc9c82156,
+    0x9121eaf4, 0xebad7ef3, 0x97adfe29, 0x16089777, 0x9948b7db, 0x584d82f8, 0xe5176cc9, 0x9af12425,
+    0x201848e0, 0x35ecaa02, 0xda537f72, 0xa50ae611, 0xa57b8b18, 0xc464cf18, 0xa2c98b86, 0xc980fbf6,
+    0xef2e1b0e, 0xba5eb818, 0xb392a1a4, 0x98b9421e, 0x1b6a7185, 0x6279c540, 0xce0ad062, 0x1cb40103,
+    0x8af4960b, 0x1a60d4a0, 0xe90afd3f, 0x4ee5b79e, 0x846a8c28, 0xca36b6ae, 0x5fc67d96, 0x5ce40d81,
+    0x20616a23, 0xb7cc0387, 0xfbb30db4, 0x0cbf2aa1, 0x4bc7b726, 0xf15ae858, 0xf767794e, 0x4e651e29,
+    0x5803fd3f, 0xb1d82af7, 0xe2c477f5, 0x5b4f92dd, 0x18baa28d, 0xf3fbef4f, 0x0953b368, 0x96895f3d,
+    0xe0b9035f, 0x06610bf0, 0x9b467009, 0x5b95bf43, 0x20e39dc3, 0x92436a63, 0xa344d7bc, 0x88ecc088,
+    0x54d8a3f6, 0x752cfad2, 0xd08a976d, 0xf035641b, 0x9b7a69c1, 0x33d27471, 0x3fe2b4f6, 0x9792d552,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000001099511627776 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000001a9, 0x34f09799,
+    0x00000000,
+    0x9496abe4, 0xcf961d27, 0xeec5eee5, 0xe0f3e972, 0x0578a023, 0xfd7ef250, 0x19c0c41f, 0x39fdef90,
+    0x1e593719, 0x101bf9f5, 0x2a931758, 0xc40accc6, 0x8677c3b9, 0xa8785032, 0xeeea2f87, 0x4ffb6697,
+    0xa7ce2b1f, 0xb042c1f2, 0x9ba14c01, 0x4719983a, 0xdf6a193b, 0x42580593, 0xdff54038, 0x8c71db8a,
+    0xb4b7ed07, 0xc0151034, 0x40d5779e, 0x44a5534a, 0x97207095, 0x44bb3fc1, 0x970a6a26, 0x7c50978d,
+    0x84aff45e, 0xa14d8454, 0xda376f26, 0x88e050db, 0x96b9045b, 0x08a02224, 0xbb5a251f, 0x0f2620d4,
+    0x86b573cc, 0x6deece01, 0x63c7dd47, 0xfdf7692a, 0xda4b4dcd, 0xb5efab96, 0xc3a32308, 0x711f3095,
+    0xb497cb3b, 0xe0e1fdd8, 0x46aeadf9, 0x0b86f790, 0xeac41ba0, 0xb741ce7d, 0x5ea6b95b, 0xc4f0b963,
+    0x683b56e8, 0x16227fd1, 0xe1a191b9, 0x4d445e78, 0x9109c403, 0xfa8a165a, 0x53813025, 0x3edb4425,
+    0xe9616e87, 0x4ab9168f, 0xb4dd9a06, 0x5321264f, 0xf51091a4, 0x1f9bd5ad, 0x7415b5ff, 0x9a639a9f,
+    0xffede6eb, 0x0eb307eb, 0xcf297a6e, 0xb9e6d5d2, 0x7d7a209f, 0x2714211e, 0x4cebdce3, 0xbf9dab0e,
+    0x12a47f38, 0x328bca82, 0xcebfaa89, 0xd6161a0d, 0x980d469a, 0x0499347a, 0x25412b00, 0xee5a669a,
+    0xacb0495f, 0x99892ac5, 0x43b1d38e, 0x1f0e5350, 0xd530a8c0, 0x7b85bc06, 0xa90596e0, 0x9862e3ee,
+    0xe3599553, 0x7a3c1a7a, 0x4807e6b9, 0x520beaa6, 0xa31c52df, 0xcaae5dfb, 0x30e8e37a, 0xa24b4ab1,
+    0x2f69acb2, 0x18141561, 0x00c73a59, 0xeff2fc5f, 0x6da0f10b, 0xbc01f5ca, 0x5268d948, 0x9c146c2a,
+    0x95603943, 0xc0e8ef35, 0x7a5df70d, 0x767cb332, 0x27571ffb, 0x9fb5bc15, 0xe52c8b69, 0xa6aa2682,
+    0x0526bc95, 0x33b38385, 0xf16ed28d, 0x6d284120, 0x3edd8934, 0x34ff111b, 0x7df4edf6, 0xff6f6c03,
+    0x71168a11, 0xac45c1b9, 0x67f3d73d, 0xbbd1740e, 0x5552190b, 0x21f9576a, 0x9e0eeeaf, 0xb18ea15e,
+    0x3eff15ff, 0x0400090e, 0xf7e79f57, 0xc70402f1, 0x55b9ce3a, 0x217086c3, 0x391a1a03, 0xf83751c7,
+    0x41f1ff2c, 0xdcdbb6d1, 0x84bf4b3f, 0x52afb5c5, 0x84613ae0, 0xf2d1a666, 0xff620810, 0x8fd96d5a,
+    0x1480661b, 0x37b16abe, 0x76b1f242, 0x0070f02b, 0x912d9ba4, 0x19d37d1f, 0x5f25833b, 0xd7d49134,
+    0xaa8b1a25, 0xefa7d697, 0x341623fb, 0x137fce6a, 0xf268e92b, 0x9be693b6, 0xd5a747c2, 0x0ef4b46b,
+    0x14756501, 0x6cf088b3, 0x627d8f45, 0xeeebdaf5, 0xd95eea49, 0xb8d474be, 0xc3e4c1b7, 0xdaaa19f1,
+    0x7b960b46, 0x52fc9d20, 0x78644e3c, 0x3d5f08b0, 0x241723c8, 0x89e72335, 0x69be64f9, 0xad4289bb,
+    0xba9b8cb0, 0x6eaa8b17, 0xd66fbc2a, 0xc14e5504, 0xaad8555e, 0x7f6c6295, 0xdd1d8e9f, 0x5c84725f,
+    0xc94fc52a, 0x58ddca58, 0x15a1e9d3, 0xec6c4190, 0xda2fec5a, 0xf5628cf7, 0xbb44796c, 0x5317ef8f,
+    0x609bef57, 0x7f83d0d9, 0x5e490786, 0x0c2c42c9, 0x477bc6e1, 0xfe0a37e7, 0x3fb985b3, 0x3ba9c1bd,
+    0xdb26bcf8, 0x3c947014, 0xe06ffdf5, 0x0b32b262, 0xe722ca1c, 0xb4676811, 0xa9efdb07, 0xe2a20e94,
+    0x933379e1, 0xe42a91c3, 0x1d2eb584, 0xac910550, 0x9b993d13, 0xcd4890e2, 0x22344111, 0x0fbf7d53,
+    0x8b158c0a, 0xef86b7f2, 0x00556e7a, 0xe02c105d, 0x25a30aa7, 0x29402ccc, 0x670ba47d, 0x9fcca3c6,
+    0x4fdf77da, 0x9b2da314, 0xd7d98643, 0x3f02e277, 0x3144faf1, 0x252da738, 0xe07d3c01, 0x5d596ff8,
+    0x56932b02, 0x829a9bcc, 0x65fe386a, 0x1f05cf5d, 0xf22388b5, 0x3ad7c7bf, 0x06c2dc8d, 0x71775231,
+    0x85f4be8b, 0x5aeaaa25, 0x004af352, 0x9215481d, 0x20ce849e, 0xa8619e41, 0x59bf820b, 0x9b2b0484,
+    0x19d8dbe2, 0x3c678dc3, 0x1c6a20bb, 0xe7ecbdc4, 0x62483b8b, 0xec93a6ab, 0x7a2a2176, 0xd67c6500,
+    0x4e485251, 0x9bf08355, 0xbf56acca, 0x62461b59, 0x26c1f214, 0xf5cc9605, 0x9f114704, 0x925bcac1,
+    0xe0b6b78c, 0xfecc9e4b, 0x7be7f5ef, 0xad3a8cbe, 0xc6bb0328, 0x2207d91b, 0x767b9c89, 0x57072437,
+    0x108129bb, 0xb7f8a54c, 0x568d0efe, 0xf73ff38b, 0x9aa9377d, 0x59e785a4, 0x66e17c3c, 0x88072f9b,
+    0xeb285d72, 0x1142b2d3, 0xfa4d318b, 0x610ed2cd, 0x02f9d8c5, 0x727c1306, 0x7bbcedce, 0x630cc2ea,
+    0xc39c0b45, 0x71bb98a9, 0xb7827c81, 0x75b3c98a, 0xf4fec2fc, 0x28794794, 0x6443770f, 0x79aac2e7,
+    0xf75133c2, 0x5782d7fa, 0x59ee12b0, 0x51c673dd, 0x4d007ed0, 0xf304de51, 0xe1779860, 0x49179285,
+    0x5b3af934, 0x72ad18ec, 0x7036cebc, 0xf2fd3989, 0x1039bb38, 0x943ca236, 0xbc65c5a4, 0x6ad4827c,
+    0x5c8cb8af, 0xe9994dbc, 0xb1290cdc, 0x1de7cb50, 0xbd11a22c, 0x3ed47343, 0x99cdf76a, 0x8ef64791,
+    0x16fcdb57, 0xfaa8c372, 0xf20659bc, 0x9676170e, 0x68a1f7c3, 0x2251b42d, 0xe5069fe1, 0x41ab4f4f,
+    0xd66af333, 0x01ab9e10, 0xbd9fc691, 0x42cb47ce, 0x7ff2c0f0, 0x73491cc9, 0x7d07266f, 0x3ac41347,
+    0xfcada4d1, 0x3bef36ee, 0xf801f535, 0x286f2269, 0xc53a7c5e, 0x1ceb17bc, 0x0a426666, 0xd61ab5f7,
+    0xf74c03ae, 0x1dc57570, 0xcb1a0a4a, 0x1cfaca4f, 0xb608c62d, 0xa2105c4e, 0x6544012d, 0xc5b96c8b,
+    0xac9ac1a2, 0x7c53577b, 0x0642f59f, 0xd62543ba, 0x7a3df561, 0x1cec5339, 0xa6a5259a, 0x7e0bf628,
+    0xf5637fc6, 0xcd976f28, 0x543c2ab6, 0x6cb1a499, 0x24a9c99a, 0xd14f09eb, 0x8efc3d29, 0xffd20f8b,
+    0x5f8b93f7, 0x04fb83d8, 0xc658d129, 0xe5a8696f, 0xf1ad659f, 0xabff6b7b, 0x16a76ad9, 0x804b823d,
+    0x677b0994, 0x2bc73343, 0xa9f5cf07, 0xae50dfe7, 0x675ee374, 0x544fcc18, 0x70504968, 0x0acdc3c8,
+    0x1d0ba3be, 0xce01c1b0, 0x03ee8629, 0x867f3c17, 0xc3f3dff4, 0xdcb267c6, 0x90cb058e, 0x0c483e99,
+    0xbc706c5e, 0x0f6d037c, 0xacee9a26, 0xcb168c9a, 0x82d77b05, 0xe27ecb9b, 0xdd2ed986, 0xa08a6f76,
+    0x4aa4d13d, 0x494199f9, 0xf8c96e99, 0xd0aadeef, 0x5ae12d2e, 0x4d60d5e7, 0xb47e1767, 0x85fc919e,
+    0xabe464fd, 0x7fbf5406, 0x66bfdc31, 0x854c91d0, 0x87fb8f91, 0x5789c6ea, 0x5eac8956, 0xcc40bbfd,
+    0x8469769a, 0x1be680fe, 0x85fc7f0c, 0x22b4d05e, 0xbd6e5386, 0x5fbc92f9, 0xfcf2ffb3, 0xe56ccf52,
+    0xd61bdd13, 0x1925e00e, 0x2713ac0e, 0xe375cfbd, 0x749d5a70, 0x79ef9f84, 0xbae0118c, 0x56fe2228,
+    0x0ec73eb3, 0xd293ecbe, 0x9f1fd1e2, 0x1dbcba50, 0x7d4a6e09, 0x7283d1e3, 0x52cba695, 0xe34c72b0,
+    0x8f449ebb, 0x67a689ec, 0x3bbfc80b, 0xe23a192d, 0xaf824378, 0xd0b1f1e5, 0x7a88e475, 0x664e7d84,
+    0x757d67a1, 0x6c871667, 0x08ccd975, 0x50f99fb0, 0x49f2db7f, 0x2be6fcb5, 0x5bf00d27, 0xcac55f9f,
+    0xc7df300e, 0x7853478d, 0xe397d441, 0xf041e572, 0x248e90c1, 0x3941fe9a, 0x8d9b3a33, 0x215514f7,
+    0xdf56c786, 0x56eb9c92, 0x3b06eb71, 0xa0679574, 0x3321a9fc, 0x32a92b08, 0x6437ff7c, 0xc5ca8f93,
+    0x783b3cd0, 0x691d9759, 0xac823abc, 0x4852b750, 0x4a1b3c20, 0x193abfe8, 0x104fc6df, 0x2e1d8867,
+    0x2cc9631f, 0x2e278066, 0x0295a852, 0xd11e323d, 0x715de385, 0xa44e2f75, 0xf763327b, 0xaacc170c,
+    0x6ed41958, 0xe0d3f1ea, 0x0d2ac85f, 0x7cff9af5, 0xdb1a3996, 0x1d622bd4, 0x0991c9ec, 0x2072240b,
+    0xf153064a, 0x64eba082, 0x21801af2, 0x2b697d43, 0x43f9e8dc, 0xdcd908ec, 0x88e85a9f, 0x0c55dfbc,
+    0x611b3d38, 0x8233e0a5, 0x8ec321ac, 0x55f2d424, 0x04832fc0, 0xfb3aa28d, 0xa71ad663, 0x3ba48313,
+    0x8ea51bc0, 0xae986917, 0x7a70fbb4, 0xabc1d1a4, 0x218d386c, 0x72d73670, 0x222aacd7, 0x913e6e07,
+    0x3ef715db, 0x05d0ebff, 0x49deead5, 0x6565b80d, 0x92b78271, 0x5273c886, 0x8573dea1, 0xbeb78939,
+    0x44129b4a, 0x4829233f, 0xdeaacded, 0x3a7b09a7, 0xe5053c9c, 0x9eb36d34, 0x4c42e738, 0x2c679f8c,
+    0x4496b4a5, 0x5381477d, 0xc2f97778, 0x7c6da3fe, 0x72e713e5, 0x9376d61f, 0xcbddbac3, 0xc5a0d4b8,
+    0xfa31be74, 0x13f196cf, 0x8fc773fd, 0x23ca6a7e, 0xc437a9a1, 0xed1c5bca, 0x10392818, 0x0e90603d,
+    0xc30cf42d, 0xde262ee2, 0x752e0c47, 0x681236af, 0x24f3ecdd, 0xc088e135, 0x8da80609, 0xc4e16b64,
+    0x97c3e2af, 0x513640ba, 0x7e417216, 0xf06170db, 0xc0d42da0, 0x6e7accda, 0x7d3cafc6, 0x3a6e03bf,
+    0x7d9baa03, 0xdfc2c0ac, 0xeaf39951, 0x919d676c, 0xf4151a81, 0x3bd8970e, 0xd3aa2d6b, 0x0091674e,
+    0xd0e8dd3d, 0xd044725e, 0x9befbbf9, 0xb5955aca, 0xa7ecc58d, 0xe783745f, 0xf4aa9a9d, 0x31bce418,
+    0x8f1360e8, 0x9b819d39, 0x2668c489, 0xb9964912, 0xa90c1745, 0x54e83460, 0x5ffd46a4, 0x87ef12c3,
+    0xa4dc812b, 0x0426d598, 0xeacd9b0c, 0x290b1986, 0xee94cc5c, 0x0b683076, 0x0a73d0cb, 0xab071bcf,
+    0x8fb4a043, 0xc1b8d28a, 0xa9f0dd75, 0x14a6e34d, 0xc532077b, 0x0b94627b, 0x3fef7563, 0xc1bf31c5,
+    0xf08a1b39, 0x0b0915f6, 0x030f0128, 0xce48a9ee, 0x75f5eb34, 0x5a791556, 0x79ef3ddd, 0x0ac08765,
+    0x9a7d4bf9, 0x82d39978, 0x577916aa, 0x08b18ded, 0x9218c901, 0x16dd87df, 0xb72fc3b6, 0xdbbc643c,
+    0x13b8f7da, 0x2faec82e, 0x5740ccbf, 0x520ed3b4, 0x79e988de, 0xeb3f8bf2, 0x4d25c5b5, 0x5791cdfc,
+    0x0b8caef7, 0xb4470f71, 0x9f79b4ba, 0x8741b9a8, 0xb11ea6c5, 0xbaff62ed, 0xc1aed0db, 0x7883e45e,
+    0x773f4984, 0xb5736996, 0x304261db, 0xf5b32a21, 0xe55b5623, 0x0f8b4ebe, 0x55106c7f, 0xe4cdea28,
+    0xb5a19c27, 0xec6f89f9, 0xc312e96a, 0x02437329, 0x245dc654, 0x2b7e7f8b, 0xd6a1ae57, 0x8cb44996,
+    0xa1b6080c, 0x5c0933ec, 0x2fce7bf2, 0xb40efb11, 0x4476c170, 0xcc111a51, 0x80406df1, 0x9d01cdc6,
+    0x2bae1a24, 0xc0ca4060, 0xba77b094, 0x240960c7, 0x579771f4, 0x5da5083c, 0x3f189df9, 0x9aab3560,
+    0x6b31f629, 0x45f8dbe5, 0xe14d6231, 0x3cc98700, 0x5169cfd8, 0xd35abb6c, 0x55366aed, 0x9ad6d043,
+    0xe781dcce, 0xd779346d, 0x36a7487c, 0xb88bc710, 0x57b07383, 0x5fe5964b, 0x44dfea87, 0x4b097f64,
+    0xe13dd8cd, 0x32b1288b, 0xacdd7344, 0xc8fab69a, 0x9945d1e8, 0xac103e0e, 0xccb514f3, 0x8767fee1,
+    0x8b73abfd, 0x8ac74e30, 0x2bf90670, 0x17543923, 0x605269be, 0x26ac088b, 0x639e9d9a, 0x9c5b06be,
+    0xe943f22e, 0x9a18b407, 0xe0af2984, 0xa504271b, 0x5f4e84eb, 0x1e5d8e31, 0xe2d5631d, 0xa8bb27ad,
+    0x0cc1ac67, 0x57bf7eed, 0xe5116b48, 0x4b9bf3d3, 0xb41ae42a, 0x06ff6488, 0x0d2078c2, 0xa251b4f6,
+    0x96f15b4d, 0xb6478afb, 0x735da568, 0x6648373a, 0xf04329ab, 0x1c778569, 0xb4945605, 0xd996f51f,
+    0x6a0aca86, 0xbb9af856, 0xda209837, 0x263912b7, 0x015cb06e, 0xab88ecc9, 0xe6f037ca, 0xa89714df,
+    0x02b75b5e, 0xa243a089, 0xc6eba820, 0x6f21357a, 0xce06699b, 0x1848a3e2, 0x04b17004, 0xe592fbc0,
+    0x939179ae, 0xabc22973, 0x14a1115a, 0xbd24df1a, 0x34fbe7b6, 0x88de9f81, 0xe5fcd1a3, 0x2fc16fcb,
+    0xa62041ce, 0xc20b3ddd, 0xd1c9aacf, 0xfcbff1c5, 0xdf1115a9, 0xed2cf3d8, 0xa35a497d, 0x62a7c6a9,
+    0x0f70cc59, 0xd8fdf583, 0x3b459696, 0x938ffc29, 0x553a0aa4, 0x97ede9f1, 0x3af20998, 0x0759fb3e,
+    0x8af8b441, 0xa3eb2bb3, 0xd9c199f6, 0x60ae835b, 0x7f0a0883, 0x01d081a5, 0x74bb4845, 0x533ab493,
+    0xdee1dcc1, 0xff5f1c7f, 0x864059f9, 0xa4e03737, 0xd90ed46b, 0x848a6884, 0xe1786792, 0x391fed92,
+    0x7469da33, 0xd931252b, 0xd4816e28, 0x3a638fb0, 0x9cdf440f, 0xc6c2d649, 0xcb6121e7, 0x60711c9e,
+    0x69c1e66a, 0xb32c9fb3, 0x0ed3143d, 0xb5999d54, 0x1ac7104a, 0x59f183de, 0xec2793c1, 0xeaeb759a,
+    0x597c706f, 0xf0d30a44, 0x41dc1144, 0xc8d9fca4, 0xf12e12e0, 0xf2d0f508, 0x58dac18d, 0x5997c10a,
+    0x5b91f0af, 0xc4da4e8a, 0xae1e4ff0, 0x078319b6, 0xee851919, 0x7fcce01c, 0xb58350ae, 0xa1f1f1ee,
+    0x8629ce73, 0xeeb19bcc, 0x911793fe, 0xbb2a1190, 0xd1fc7777, 0xd4925bfa, 0xfb2f021c, 0x55978405,
+    0x1d00f4f4, 0xbc53476e, 0x4319dc66, 0x40817ed2, 0x0c0259c0, 0x896a3ca5, 0x555511bb, 0x94ae7de4,
+    0x5319cbb4, 0xbcf251e6, 0xe29dcc53, 0xd341e4d0, 0x8dfce8d4, 0x5d9e8315, 0x323d4656, 0xf937c2a1,
+    0xae79adbf, 0x0e20bd76, 0x0215d9cf, 0xda8d9fa5, 0x7402abee, 0xce84885a, 0x351314cb, 0xa7a74959,
+    0x4299ccc1, 0x6976ec18, 0x11b34cf7, 0xa1b52d91, 0x1cc6f18a, 0x6439ff72, 0x3c9f5f93, 0x10a49a84,
+    0x2c95fdbe, 0x78770adc, 0x6bd64c6e, 0x292569bd, 0xb63f60fd, 0x13c6e69b, 0x4ed0ae73, 0x20ad23f1,
+    0x67b1a500, 0xb261aef6, 0x15b55640, 0xdc83d47a, 0x8d68f47a, 0xc230a57f, 0xcf96c308, 0x496614c5,
+    0x1136a213, 0x9ac2a506, 0x2e18fc9a, 0xdd2aaf10, 0x9b885162, 0x737e3a9e, 0xc9c24dbb, 0xf3743f4d,
+    0x4cd14d53, 0xb2df5b0e, 0xda7688ac, 0x6ca39cd4, 0x59ca78b2, 0xd9f05608, 0xac1e4794, 0x80c5f692,
+    0xb3d18beb, 0x89097b73, 0x97a5d10b, 0x37e2244b, 0x50d353b0, 0xb5c087a6, 0x695793df, 0xc96b5595,
+    0xea629856, 0x0297e72f, 0x713ad902, 0x710a01e0, 0xec733573, 0xe10b5d7f, 0x5b33c92f, 0x4401e580,
+    0x50bc9e1f, 0xe1374e04, 0x462af27a, 0xb5ea9b82, 0xbf1b20ad, 0x56d3a2e0, 0x864de07b, 0x8f945997,
+    0x577d9b8c, 0xf9cbb03a, 0x43827ca6, 0x48fcc3d5, 0x1e72b336, 0x7bc4cdf3, 0x3d4e8b23, 0xc31f5ec1,
+    0x0510a0ec, 0xae905156, 0x61d26748, 0x268f403e, 0xb63b9744, 0x3179ac6f, 0xc853a5ae, 0x9f56eff4,
+    0x6454395a, 0xb4f94649, 0x3de5aaf2, 0x8406dab6, 0x962ea875, 0x4c74837a, 0x1be5e41d, 0x36d010c7,
+    0xf818656d, 0x1a2305ef, 0xc87c1c3c, 0x9f819970, 0x5a8d8e22, 0x712a8af7, 0x9d5e9bf2, 0xbe1a6e28,
+    0xbe0e077d, 0x7037cb85, 0x188c4cdf, 0x4d81166e, 0x36f5b0e0, 0x5a37a093, 0xdc18d86b, 0xd1afd644,
+    0xf3012e65, 0x908c11c8, 0xdf725098, 0xc5d8d165, 0x48690ab7, 0xaa4e95f2, 0xcbd0d525, 0x86539937,
+    0xbe8f6709, 0x7c4e84c0, 0x92f35d4a, 0x37571988, 0x23d50653, 0xe648bc7d, 0x78a8e778, 0xfa25f0b5,
+    0x7dbb272c, 0x5ae8681f, 0xac6718f1, 0x2da5911c, 0xdaca6bf3, 0x292b51b6, 0xea95dd76, 0xeb208c95,
+    0x0825ca49, 0x2d016185, 0x21e9ff51, 0x55d48230, 0x96b732c0, 0x4fde7f83, 0x3702ad0e, 0x2a6bf43d,
+    0x8186d0e5, 0x00a0b257, 0x8c952d7b, 0xb22e0ec0, 0x479e4a9f, 0x4a2b18f1, 0x863c516d, 0x3b369ff7,
+    0x38d9eacc, 0xa43712b8, 0x29d0f31d, 0xebebfdb4, 0x54c4dda6, 0xd8ae71d3, 0x6d5e5e07, 0xbde7b5f7,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000549755813888 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000000d4, 0x9a784bcc,
+    0x00000000,
+    0x89e91d96, 0xeb1f5197, 0x54d16e47, 0x9e32cbd6, 0x1e6384ed, 0xa8b4bf4a, 0x7a16d7f4, 0xa44d954c,
+    0xc5fc3b3b, 0xa931fbe8, 0xbf60f739, 0xed5e7540, 0x55ca8e1f, 0x347114df, 0xd1989aa2, 0x33e02346,
+    0xe24c4d2d, 0x6fde6870, 0x387023e7, 0x7d844e58, 0x7fb8707e, 0xdb1637e7, 0x0a37c00f, 0x3af578c8,
+    0xf3ee4a2c, 0x37529802, 0x2d1e6bbd, 0xf031bcc1, 0x956921b1, 0xbdd0ec3d, 0x1b8b28ba, 0x72366ede,
+    0xf588fcb6, 0xd657e217, 0xc4dd40fa, 0x762fc126, 0xc7f3d450, 0xba90407b, 0x232aa4a5, 0xed9534db,
+    0xd9ef12b1, 0x09f4d4b1, 0x50b3ff08, 0x757300cf, 0xf893440d, 0xf27fa09c, 0xeced9c83, 0x48826777,
+    0xb6a6154f, 0xbb783a99, 0x7d6ec41e, 0x1b360a82, 0x37a27671, 0x71c629b9, 0x690230d4, 0xec0f82dd,
+    0xe85aadcb, 0xceb4826b, 0xa6062a7b, 0x5a5e00e5, 0x5ed01867, 0x6d5a69f4, 0xcb81d43d, 0x425e9573,
+    0x6ae0c19a, 0xbd9143e1, 0xed34cf5e, 0x356dc094, 0xa872abdd, 0xc60cf9cb, 0xf5df778a, 0x17c13d26,
+    0x41c0260b, 0x4a4e4800, 0x0aae5577, 0xe20994f4, 0xcb671947, 0x24e243a2, 0xf43a7160, 0x2907e6ee,
+    0xd495296c, 0x39e34eae, 0x29a82654, 0x22d7faa3, 0x7a0e3a18, 0x091cbd58, 0x523c1c27, 0x7dcdecc0,
+    0x51e084b1, 0x79838ac7, 0xb2d878dd, 0xf5f774ac, 0x78b52eef, 0x32ad386d, 0xbb19f95c, 0x61c01b89,
+    0x31d104a4, 0x1b08bb7b, 0x44a2d866, 0xc7729dc4, 0xebb574a0, 0xd02fbaa4, 0x680a529c, 0x69d066c9,
+    0x309682e5, 0xb18c0218, 0x635da2cc, 0xb51eb293, 0xef0dcb15, 0x26ab09f3, 0xa6b8f3ea, 0x5b9d9db3,
+    0x1deae9f4, 0x4f9f6769, 0x8e31d2c9, 0x5bcf2cf8, 0xea06276c, 0x508b6d6a, 0xe49aa9ae, 0xf6fc2496,
+    0xaabe2527, 0x7420cf15, 0x9d922605, 0x0c8741f0, 0x8d5ae486, 0x4ff5c669, 0x77408fef, 0x7fa9f55d,
+    0xabd73014, 0x52535cb3, 0x488a0f82, 0x6e757855, 0xeb79c2c6, 0x57555452, 0x42463bcf, 0xb650a509,
+    0x50392c2f, 0x0edcd577, 0xe15346ba, 0xeed8cd0d, 0x39c1ff36, 0x8a4809b3, 0xe11e3bb6, 0x37f97fcb,
+    0xb2a903d2, 0x1643f12b, 0x0589e270, 0xb4ff3caa, 0x3d5c9522, 0x3193d2e3, 0xf09c3a2f, 0xbd68cc37,
+    0x1bc73a55, 0x448b7adf, 0x33767dd9, 0x31bb0958, 0xe5cc01b3, 0x1c25b580, 0xb6ee2fe1, 0x1e8492f6,
+    0x319d1120, 0xb7db596f, 0x6ed95f96, 0xc6b246eb, 0xf1e58d0d, 0xf1f929bf, 0xe704fec5, 0xae47b97b,
+    0x8ad33a2d, 0xb07d9c6c, 0x966f8020, 0x138e8499, 0x20d33ee9, 0xdd8f8be2, 0x3c4ea216, 0x2d453d88,
+    0x2157b194, 0x8fc5694c, 0x6991684f, 0x057f6df2, 0x70868937, 0xf6fa4339, 0x7624c7c9, 0x740b2b25,
+    0x84bf9fe6, 0x698b7eac, 0x33a458b0, 0x6417ec16, 0xb10a5f50, 0xf2157491, 0xa2b703f0, 0x0079a120,
+    0xd4901217, 0xee864fb2, 0x72504168, 0x7190bd60, 0x24ef71de, 0x4dd72ef0, 0xb5ee05ce, 0xc104ee42,
+    0x8c72a61f, 0x40dcf5e9, 0x058641c6, 0xf49fdca2, 0x8713a468, 0xb018d309, 0xa2441ce8, 0xf5299313,
+    0x12724d4d, 0xdbb93069, 0xeb5b14df, 0xb270697c, 0xcb5eb83f, 0xcef317cd, 0x5d6e1cad, 0xee470f50,
+    0x4018b4fe, 0x506d54fe, 0x6b341b89, 0xe2a3be8e, 0xe0e55212, 0x18150846, 0x8c5f01a4, 0x3ffdda6d,
+    0xa77260f1, 0x0d3bb94f, 0x661bebf2, 0x9194774e, 0xf8715d85, 0xab1c9d77, 0xa0f3fb1e, 0x9405d60a,
+    0x242a43e8, 0xd724335b, 0x7b8dd042, 0xc3f7814d, 0x749c7624, 0x36e57870, 0x95850627, 0xf109b7e9,
+    0x7acb4941, 0xa13bf77a, 0xb404ab48, 0x0cc3963e, 0x320c73e6, 0xbaa523c4, 0x1f5df695, 0x76b04307,
+    0xf1746084, 0x2392e130, 0x82e7fb93, 0x6eead026, 0x8b8a8807, 0xf345f4ec, 0x1d347b40, 0x026a5316,
+    0xaa2cc364, 0xe3f5f365, 0xca01c64e, 0x45252db4, 0xd118b048, 0xf46b0aa8, 0x6788b5f2, 0xc60f3c2f,
+    0xe41d0482, 0x50dfc280, 0x83c0139c, 0x043cadab, 0x9a36cfe4, 0x9d73e89e, 0x0cb71ea8, 0xced87411,
+    0x7826ff0b, 0x52512241, 0x4cb99dd4, 0xdcacded4, 0xc3fc6a17, 0x31b3e86d, 0xb24aaf1d, 0x96b48d7f,
+    0xf370567d, 0xd9ddcdac, 0x4ef94472, 0x4f1ee45d, 0xe5d603ff, 0x786d2479, 0x2568c643, 0xa6fa7ffc,
+    0xa16a9cf1, 0x3716f1ce, 0xbfd6d01e, 0xcd47ee03, 0xc0e4740f, 0x97ccac12, 0x7a421730, 0xbb7d0125,
+    0x3cd4ab12, 0xdf5b56cd, 0x6655487c, 0x9ef9ffb7, 0xff77d4ed, 0x8d84e112, 0x88f6ec77, 0x7fb3e27c,
+    0x737bedbf, 0xe4b82940, 0x736efe4f, 0xee535cbe, 0xa9f53cc6, 0x16301627, 0xc3712f9b, 0xdb361a9c,
+    0xbd4b41fb, 0xecdd6051, 0xc4b83b32, 0x92f87c58, 0xe01af616, 0xb16b3ac7, 0x3e1d4b9e, 0x95bec1d4,
+    0x771c30ce, 0xd034a514, 0xa7333251, 0x8770bae8, 0xaae8108d, 0x9369d9ca, 0x3bd83a3b, 0x78319d31,
+    0x434c0b6a, 0x859c779e, 0x0cadff0b, 0x694d13ba, 0xfe405f0b, 0xa7527c1c, 0xbf92897d, 0x226d7e10,
+    0xaaed69fe, 0x8660165c, 0x68628f45, 0x61795b24, 0x562483cc, 0xa2100258, 0xf8a9c548, 0x0de669fc,
+    0xad6a71b9, 0x82f9f777, 0x8031d6c1, 0xd2b01219, 0x22fe5231, 0xc6cbfd05, 0x96a0f62f, 0xa752e03b,
+    0x82eb0842, 0x980f0f92, 0xc0770ac3, 0xc8ba05ef, 0x4ad99d63, 0x0322db6e, 0xa5677a11, 0xd586ea09,
+    0x3a628284, 0x4462d741, 0x7d24cf23, 0xedaa0336, 0xbd4a5909, 0xc0b7f8d2, 0xd00c4877, 0xc94fc782,
+    0xdbb1f273, 0xfd1575d9, 0x06e6221d, 0xe75800fd, 0x0c02e501, 0x3e1c1fad, 0xec76c36a, 0x9229e550,
+    0x3d256095, 0xd2a325f9, 0x2796ac24, 0x54d8517d, 0x92ae0cec, 0x76140786, 0x6e53e7a7, 0x2384a4ee,
+    0xf87a531d, 0xf4a55ca9, 0xe87f8ac4, 0x3eefebd4, 0x88775603, 0xd67ce037, 0x7353667b, 0x02ed7c62,
+    0x85b76b5c, 0x359ffd87, 0x63e7f573, 0xf0dff147, 0x427a6600, 0xe325a040, 0x03aa101e, 0x14d084e3,
+    0xb31cb450, 0xe399fc2b, 0xe4c88b7c, 0x91cedd9a, 0xbb31d4a2, 0x12f10a73, 0xf133cc8d, 0x07a83e04,
+    0x09393999, 0x2d6edf81, 0x0b30ccdc, 0x074431b4, 0xb8d412d9, 0xb4611eb4, 0x2173e6b9, 0xf3bd9e0e,
+    0x8157ede3, 0x5cccec5b, 0x3e247d5e, 0xfc64d52e, 0xf319048b, 0xdfeb0161, 0xec0d67d6, 0x9c2b53eb,
+    0xf157b186, 0x22f6d836, 0x3eab3deb, 0x2f316a8d, 0x7d004562, 0x0eb44a7e, 0xc55c6f59, 0x6446a72e,
+    0xa0c6d881, 0x1d6e9619, 0xf93264d0, 0xf7ef91aa, 0x6674d7d5, 0xf6285639, 0x5bf28687, 0xeb728755,
+    0xcc6064c7, 0x0c63e3b7, 0xc42b8abe, 0x6513fee9, 0x3f875349, 0xd3093d26, 0xe173877f, 0x8fb7fa59,
+    0x847fab38, 0x8d80aa54, 0x8add7181, 0x0cd70213, 0xabf7d9ef, 0x87e5c750, 0xdf8fc0bb, 0xd192079b,
+    0xff140f3f, 0x24141cc0, 0xe0fa875d, 0x5a23b5a2, 0xfbd3391b, 0x8bc13963, 0xd42bed0b, 0x3fcf1018,
+    0x646c9730, 0x47ccc5a0, 0x6ed08de9, 0x308752b8, 0x0a25978d, 0x67cee138, 0xe3098287, 0x2632d550,
+    0x0440c491, 0x03d53067, 0xedcf6385, 0x1e73ab76, 0xc280544b, 0xf7c386c8, 0x6b2bf8f6, 0x00b969c8,
+    0x85955f0e, 0x090163b7, 0xfe65908b, 0x31227cab, 0x5f6274b1, 0x237905a5, 0x328ef2e8, 0xc86f00e9,
+    0xdd33cd8b, 0x1d8711c9, 0x76a06cd4, 0x96bfc7a8, 0x8e795ec9, 0x67952009, 0x815dfdb2, 0xb993e24f,
+    0x1e99ca2a, 0x9af08bc6, 0xafe9b3a2, 0xd33da530, 0x11b70182, 0x25b5c327, 0xb29d491e, 0x3a338277,
+    0xfedb18d7, 0x749b9042, 0x655b29e0, 0x634a3c2e, 0xa3dee328, 0x9979ad25, 0x4b65fc89, 0xd461fed6,
+    0xa548934c, 0xe51491b6, 0xb959cf25, 0xcbd079ee, 0x64c1d51e, 0x3648cf26, 0x66d1b9df, 0xf407f30f,
+    0xbdbf7210, 0xba56859a, 0xab7b100b, 0xdc7e8219, 0xdb26414a, 0xea87f3b2, 0x72e66c73, 0xae4d9e58,
+    0x3992a0fb, 0xe7622631, 0xb270be76, 0x424160ea, 0x6b45575a, 0xafa4263b, 0x85c473ff, 0xac2296e7,
+    0xec231382, 0x683da7f7, 0x5ccfc37a, 0x484032ec, 0x68c9a4a2, 0x4db3f33c, 0x65ddb44a, 0xdf525b15,
+    0x74e73060, 0x63bdde37, 0x026974d0, 0xfc38d494, 0xffb67dbb, 0xcb046d1d, 0xd337bec7, 0x02a613e9,
+    0x9539e1f1, 0xb8280eee, 0x99a9a468, 0x88578b57, 0x3ef18717, 0xb697da4c, 0xf5034ec6, 0xe0544741,
+    0x318a2649, 0x484c9bdb, 0x7294e4b0, 0x4f7ae649, 0xc2db3cc2, 0x44a92f7f, 0xa476332f, 0x2ba1d47f,
+    0x0bee080f, 0xfbee9fb6, 0x202cfda4, 0x9803e480, 0x67c8c54e, 0x3572a78e, 0x811e29e3, 0x5718b6f5,
+    0x58297665, 0xecaf4ef2, 0xaaee43ec, 0x7caf54d9, 0x321201cb, 0x553fbf5c, 0x271999d8, 0x406053f8,
+    0x35b2eb29, 0x98edba3d, 0x2a4af665, 0x7b8dfc14, 0xcbd4744a, 0xadd6dbcc, 0xdbf3eb76, 0x90c2ebb8,
+    0x9c98a951, 0xe2289129, 0x3cb282dd, 0x72eecd45, 0x88097298, 0xdde08649, 0x8e2225b5, 0xb2cda0ff,
+    0xe4b9ba4a, 0x8561e21b, 0x3ed01216, 0xc531f9e0, 0x7f0c0e7f, 0xcb4026d9, 0xd5b29371, 0x5ce6f563,
+    0x1ff6c4c7, 0x4e513b96, 0xcf733c85, 0xef407ec6, 0x6677c4ac, 0x0e5e5957, 0xdceb110e, 0x8528d9da,
+    0xbaebb33f, 0xe91bbffa, 0xd8c475d5, 0x17b10b3f, 0xae568f4a, 0x050401f7, 0x07861c2a, 0x401300fe,
+    0x1388b739, 0x4d00281d, 0x3102c45d, 0x0ad7d237, 0x3f5b7ff4, 0xe82bfab7, 0xa8e04cbb, 0x9be225d0,
+    0xbbbeec7d, 0x4a8c3dc1, 0x5758e13f, 0xd8eed026, 0xf0cbaee8, 0xd3e3ebca, 0x502ac488, 0xc5beeb02,
+    0xf35b9141, 0x3734812d, 0x2fa53f55, 0x27481554, 0x7189248a, 0x79f60e0a, 0x116d4478, 0xa4a71133,
+    0xc5f1f5ec, 0xae98a6ad, 0x1b7c468d, 0xde0ce52a, 0xb86ef857, 0xc117ed82, 0xb150e650, 0xdda331da,
+    0x7ee1426a, 0x375d0ba6, 0x5decbbe6, 0x3e5714f7, 0x7361fcc7, 0xfa0970ee, 0x26e86fe4, 0xb0d0f369,
+    0x0e772024, 0x94c4bc62, 0xd35853ce, 0xf8cb2a70, 0x09173226, 0x2524c6c9, 0xf1e376e4, 0xd2c740b3,
+    0x87c0fcb0, 0x49ba1945, 0xad22f535, 0xf6a4bab2, 0xb8c15bf1, 0xdd99e13e, 0xd4e1e9a6, 0xf0ca2d08,
+    0xf73eb18b, 0x37a11a07, 0x1c6809a2, 0x44c59391, 0xc85302a9, 0x53e5ba61, 0x885392ab, 0x001b5ff8,
+    0xdfd595c5, 0x8896c67f, 0x1aa03cb1, 0x1de20834, 0x5d7f2a70, 0x90b961ee, 0x74376a11, 0x6db6d5ff,
+    0xca386651, 0x7c8d170f, 0xea125ca9, 0x6229a43d, 0xfb364c5e, 0x8a43ed77, 0x698c4e7c, 0x718c3c93,
+    0xc98bf345, 0xeceeab83, 0xc0b7cf60, 0x4ae8946f, 0xe73b46b7, 0x51d3e4d6, 0x03b27562, 0xae4ebf22,
+    0x13add624, 0x47aa90cb, 0xe558cc3a, 0x6ac7d9dd, 0xe19aca1b, 0xbe4a965f, 0xb0580594, 0xaefc0450,
+    0x9f63cc68, 0xd83e0af9, 0xff345d9a, 0xf2518409, 0x48ab0dbc, 0xbeed6799, 0xb93fa84d, 0x4f757439,
+    0x97c1bdb3, 0x5027b313, 0xd559a2ac, 0xf8f14bd2, 0xa80e24cf, 0xce4de965, 0x1d676f9b, 0x3974640a,
+    0x372f0339, 0x6749ef72, 0x9af945e3, 0x862d31d4, 0x83ff0317, 0x3488d884, 0x0b991530, 0xb85fb5ef,
+    0x4da00477, 0xbec4c0c4, 0x94f5603a, 0x6879d124, 0xa9f99027, 0xd2d6ac02, 0x6f3c2434, 0xa991c33a,
+    0x4b4dbdfc, 0x1bbf4cdf, 0x2035d8c9, 0x0c9cae5b, 0xbf495671, 0xd63ff9da, 0x2ad26379, 0xc87a45d3,
+    0xd4b3422e, 0xafdd56f5, 0x4e0c770d, 0x5acc8844, 0x5955809d, 0x291dfa27, 0x4aa12897, 0x9c10dacc,
+    0x766c9d4b, 0x7c1f7f8e, 0x5ddcd071, 0x8851da95, 0xb9788ff2, 0x05c988eb, 0xf34ab2a7, 0x77cb9c5d,
+    0x982017c6, 0x18e8651c, 0x887b024b, 0x436aba2e, 0xc89c032a, 0x133f93c3, 0xba743a58, 0x0579fa59,
+    0x3725c86e, 0x1cad6f41, 0x0d126244, 0xf46611fe, 0x8654017e, 0x0a57a1d1, 0x25e15707, 0xf14ca613,
+    0xf1953cf8, 0x19a63c65, 0xc8596c7f, 0xacacb16b, 0xadc6c4c8, 0xce35076f, 0xc525d246, 0xc262a987,
+    0xe0313a89, 0x559df6e3, 0xa2cf677b, 0x88047dfe, 0xb90d9a61, 0x648ae8bd, 0x53792435, 0x72525d50,
+    0x0838de33, 0x15481fec, 0x1e139a7b, 0x84a27042, 0xe4d0e23c, 0x84f75257, 0x15ee786d, 0x5baafd65,
+    0x409beb09, 0x07574c36, 0x134a7e6f, 0xf48582a7, 0x4ffde908, 0x7c682497, 0x04cf5ecb, 0xbc674751,
+    0x437099c4, 0x48f3ed9c, 0xed28ab7f, 0x3847a348, 0x578135cb, 0xb1130751, 0xfc7b1d4a, 0xf4ba2b6c,
+    0xac3f1be9, 0xcd9cb3cb, 0x537a16da, 0x0c5d06cb, 0xbbdd3611, 0x47eed041, 0x2b32b70b, 0xe9a33d76,
+    0x12e4f318, 0x7e45b5aa, 0x17638288, 0x6f7f04ab, 0x424a4a69, 0xfa24b482, 0x07dcebe2, 0xcb654dcf,
+    0x2613accb, 0x3eb45a57, 0x2ef67ad0, 0xe4fb3c85, 0x2c28660c, 0x896a214d, 0x3ee16f78, 0xcf170074,
+    0xd4eaf1fc, 0x123fda77, 0xbc565969, 0x173c5050, 0x6a822805, 0xb77fe1a2, 0xdff40507, 0x04329f5a,
+    0xbf537f7e, 0x2c488549, 0x13a07d60, 0x1abbf581, 0x49e9db2a, 0xbf2cfed1, 0xdcc335d0, 0x4cdfd53f,
+    0xe5a53494, 0x8cc96846, 0x385e6487, 0xd9de4cfa, 0x5a834cb5, 0xcfd2c8f8, 0x18cb9402, 0x4bd95c15,
+    0x9db5ff99, 0x37ad4637, 0x5c38bbac, 0xf8ce6db4, 0xcd695ef9, 0xeaa6cab5, 0xafef3d99, 0xb801dc95,
+    0x2e337177, 0xef8b0e34, 0xf9f0bd74, 0xa8c56efa, 0xefd973a8, 0x109cc5b9, 0x330b3843, 0xa2de575f,
+    0x483b9069, 0x672823a7, 0x9fffba99, 0x53eacde1, 0xc404d192, 0x377cb538, 0x5c5ee186, 0xc82929f1,
+    0xed29a5c3, 0xab2a8ea8, 0x87ee479d, 0x138143e6, 0xb7c85c90, 0x0ee55526, 0x84ae1e67, 0x8d78c62e,
+    0xe271ee57, 0x1cbf5c60, 0xa3ed2dfc, 0xd92d653e, 0x94fcb065, 0xf1723ba2, 0xa5287320, 0x5af970c3,
+    0x36e88fbe, 0xe058db4f, 0x70e32565, 0x553e9a6e, 0x80d35d64, 0x86edb921, 0x733229f0, 0x90b729af,
+    0x0d5b7e5b, 0x1f6db3e5, 0x4d7d9957, 0x2285522d, 0x90097568, 0xf58b7145, 0xeedd013a, 0x0fd39645,
+    0xd13fe6af, 0x040bffd3, 0xce923de0, 0x95c4a87e, 0xf4da7004, 0x86f10bfc, 0x5b4c9ad2, 0x4ce2d2ea,
+    0x3444aa79, 0xdecb54d2, 0xb487e891, 0xea998c40, 0xbc1047f2, 0x4a744692, 0xdbd9a5d7, 0x20e81137,
+    0x4b4025a5, 0x3cf765a3, 0xf078b177, 0xec70bd6e, 0x691b90c3, 0x3de381a2, 0xfdaa998b, 0xcb1d333e,
+    0xb005edd6, 0x01ef7cdf, 0xcfebaf5f, 0x946af26b, 0x28c0c1b4, 0x3dc9ba64, 0xe1ee8f93, 0xb9cab906,
+    0x9a3d61ce, 0x4a4e1b7b, 0xb42e9617, 0x49e91496, 0x58b6b182, 0x5062580a, 0x12c1addd, 0xa3b690ef,
+    0x154132c6, 0xb7d64910, 0x45a3ecd7, 0xe0f90e73, 0x0f83e375, 0x40a9d479, 0xb6c06db8, 0x81f9671d,
+    0x42783fed, 0xc082d938, 0xb0dad099, 0x44ae4430, 0x4f5f3a05, 0xbabdb4bc, 0xb7adaf02, 0x5a6fe1db,
+    0xf7041485, 0xec47ff12, 0xdad696ff, 0xb3faff41, 0x5514ac28, 0x97628be2, 0xc63efb28, 0x32f7e3ac,
+    0xc869f35f, 0xfbf172ac, 0x9e456dcd, 0xeee4fbf3, 0xee787a06, 0xf9cb5806, 0x8c975f19, 0xb92d12ff,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000274877906944 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000006a, 0x4d3c25e5,
+    0x00000000,
+    0xbbe584a9, 0xf69f1052, 0x83f16207, 0xb1a3ddc3, 0xfb1d7af7, 0x9634ca39, 0x825eb7df, 0xca54ac19,
+    0xf7a43ecb, 0x03986bfb, 0xd67fdd8a, 0x11046019, 0x77cbab3e, 0x23265d37, 0xcd18d9e5, 0x797e5042,
+    0x325badaa, 0xad1f9ae9, 0xf5d15784, 0xadee98e0, 0xe0e6d7b8, 0x58584a47, 0x5a08efb2, 0xc4e888fc,
+    0xd9368e51, 0xf1a3ff23, 0x461597a3, 0x580354df, 0x5394b665, 0xbe182187, 0x6dcd3ed5, 0x6d42e0fd,
+    0x8e34bd20, 0xe5a145d4, 0xd56bea30, 0xbf8cdbf2, 0xb76f6e6d, 0x4b3c7af8, 0x1e72efde, 0xe28989c4,
+    0x2340efdf, 0x99345649, 0xaabcd7d7, 0x9d7d75a1, 0x50a56564, 0x8170e370, 0x9495c70a, 0x7561feb9,
+    0x0e9ed414, 0x8531c11c, 0x98739fe0, 0x15f3da00, 0x50f8a92d, 0x9df22082, 0xf283de37, 0xd667cb94,
+    0xf6c57de9, 0xe32d23de, 0x552d8616, 0x17ab3953, 0xe2bc2609, 0xb7314e85, 0xd3cd1698, 0x5389ad3d,
+    0xbd2dd42c, 0xe26de457, 0x60856b36, 0xdc5150fd, 0xf8e755c5, 0xd43be76a, 0x1e77b312, 0xf6844693,
+    0x4fb35535, 0x5000fe3a, 0xdd1c6327, 0x2f497109, 0xd8831584, 0x3e3e428a, 0x9ca5751d, 0xfca863f6,
+    0x209b67ce, 0xd9a46e3b, 0x16f7d54d, 0x06d11fbb, 0x9e24529a, 0xa3ca9bd4, 0x9782e7cd, 0x47bcec67,
+    0x53815da1, 0x995ab3d4, 0x5f8dd6c7, 0x29a5ba33, 0xff282dfe, 0x122674c0, 0xae330a27, 0x3875c549,
+    0x3c16b0d4, 0x02de7149, 0x49f3b269, 0x81103212, 0xcfe8437a, 0x2f206025, 0x069e954b, 0xb0828b14,
+    0x54d47dca, 0x315a1fd1, 0x45ba8239, 0x58477bd5, 0xdd10ad7e, 0xb0015679, 0x391c371a, 0xea24d6a6,
+    0x7b45169f, 0x73548f1d, 0xeb7ed5e2, 0x0d82d064, 0x7bf0016c, 0x3fc60ab3, 0xb9556c12, 0xdcfc2660,
+    0xc0faec8c, 0x0678ccc4, 0xf23ac1f0, 0x832b403f, 0xacf519d3, 0xe5367bf1, 0xe4551579, 0x98d6c40f,
+    0x6a297eb9, 0x5c8afe8a, 0x8097dd89, 0xb63846d4, 0x137b180e, 0xef89efcd, 0x257466fe, 0x4f3a46f9,
+    0x169e75c8, 0xde2b8ed6, 0x3e028d73, 0x66165f56, 0xb7fcb853, 0x1ea5aae2, 0x7f3a53bf, 0xbe3e0071,
+    0xdaa7825d, 0x0c4e2c0b, 0xd3fb9a26, 0x9249b643, 0xb63c77df, 0x96852606, 0xfa7f54f1, 0x7a9b1f0b,
+    0x79e4d4f0, 0x68c4842c, 0xf46e9169, 0x79d1a493, 0x377250ca, 0xb0529f4b, 0x7fe9615f, 0xfb9a9a4d,
+    0x51b78925, 0x852f8fa8, 0x43f23d16, 0x604d0e57, 0xf350b011, 0x361fc46f, 0x4c9f6167, 0x5cc48238,
+    0xa0e401d8, 0x47fa4e00, 0x6f74790a, 0x285791a6, 0x1da10892, 0x30d34ee1, 0x36b562b8, 0xe49c0927,
+    0xf0f13d44, 0x20159664, 0xbb855027, 0x3b48f08d, 0x424a943c, 0xb5329ff4, 0xbf71b1a9, 0xd9d5a0f6,
+    0xce4e7dc0, 0xcfd9abdb, 0x4d44f4e1, 0xe90b35b0, 0x4653dce6, 0xc243b138, 0x94e68a00, 0xf59c48bd,
+    0x4f67f5da, 0x2a2f5173, 0xdb95030f, 0x1893cf90, 0xaed4ee8b, 0x9b0fb03d, 0xa6ddd824, 0x684a4d6e,
+    0xeab0fc12, 0xfda5900c, 0xcd0b16cd, 0x0b5f3d25, 0x369c1044, 0xb11cf21f, 0xc1b0bb84, 0xeb1140ef,
+    0xf41ac69a, 0xc341d55d, 0xce20e1ab, 0x8dd25b83, 0x031bc2aa, 0x7d69a45b, 0x719feaf9, 0x3bde2a81,
+    0xc5dd894d, 0x90216134, 0x37d43dd8, 0xe953b7ff, 0x0295a29a, 0x074ca237, 0x6b8cd471, 0x1e4990df,
+    0xd3b8b04c, 0xee388d0c, 0x96bef17b, 0xdc6d9265, 0x783440d9, 0x1402e267, 0xf1a0c0ba, 0xc3973d82,
+    0x6d3037ef, 0x34950529, 0xa8e3eb97, 0x8f536ce3, 0x783a9b59, 0x923988d8, 0xb3532be1, 0x21dff33f,
+    0x37274743, 0x3862ec75, 0xfab51117, 0x7102a6c1, 0xce18791c, 0x1003a5c2, 0x507a6327, 0xbc85f484,
+    0xf0149564, 0x39b7b0c1, 0x1d1a1adc, 0x3a642cfa, 0x64574af5, 0xb177d0e2, 0x9ffe3a3f, 0x48e972ef,
+    0x7a779a69, 0xcf02c487, 0x98a03388, 0xe312924e, 0xe00ec487, 0xb6822c7d, 0x641984df, 0x62defdd9,
+    0xffe7bb4a, 0x95c566f7, 0xe985586b, 0x377c0eaa, 0xede226bb, 0xa6bc225e, 0x7d73aff7, 0x0cfa5853,
+    0x60323436, 0x9dcb5d0a, 0x30ae4133, 0x57cd54a7, 0xf970d939, 0x6befa859, 0x9ad1f037, 0xe0604b01,
+    0xf4d78182, 0x236b9eb9, 0xcf39f764, 0x40745623, 0x3134aa15, 0xf485f5a1, 0x4e63351d, 0x722643d5,
+    0x6992c585, 0x110a4051, 0x92f28c5e, 0x6b04a8d4, 0x248214e0, 0x6710b317, 0x1cb02ba5, 0x9b5906b6,
+    0x99cf2d65, 0x1d22fbd3, 0x60aed66a, 0xace986e0, 0xf7bf8577, 0xae1f65f5, 0x9ef571bb, 0xbaa792c8,
+    0x41e10f02, 0x6b91c562, 0xb73b76ad, 0xe696a5fb, 0xf7f15755, 0x2db2811e, 0xb11eba21, 0x135b709f,
+    0xb29265af, 0x0e58be88, 0x2ceddeb3, 0xda3192f1, 0xc6cd38a5, 0xd6464d69, 0x46559dfb, 0xc86a0cd4,
+    0xb622e4e0, 0xfb385151, 0x02afd913, 0x3b2086ee, 0x0143e759, 0xbacae874, 0x80d39b57, 0x978c5357,
+    0x80abb333, 0x9b582832, 0x23450c00, 0xdb186413, 0x2ac0ecc9, 0xd0654f38, 0xddddf645, 0x060a6f88,
+    0x4b3bbbaa, 0xdcc36db0, 0x978737e8, 0x7fa0e1a0, 0xa536d320, 0xc449cf32, 0xc2123f24, 0xca833f4a,
+    0xc64faf69, 0xa12a7482, 0xcd81d282, 0x8a309288, 0x34cf0363, 0xc9cc48f6, 0xe138b066, 0x9271720d,
+    0x8c6c9a4f, 0x523d3912, 0x7e93652b, 0xc9a2a4b4, 0xa1650597, 0x26785e63, 0x79208e09, 0xf11f5d96,
+    0xbc7aa3a1, 0x2d0c5c9b, 0x4a4d5985, 0x926bcf86, 0xa3ea7331, 0x8f210864, 0x859bdfdd, 0x0d901722,
+    0x8fcdc437, 0x43f369c2, 0xced8aaeb, 0xf2f35d2c, 0x7e86ee98, 0xd74ba64f, 0xe50bd4f5, 0x54f605c7,
+    0x937ffb28, 0xdd1dc307, 0x6a028ceb, 0x6c1403cc, 0x6c0d5679, 0x9e1fe351, 0x4aaeef5b, 0x24dafbcd,
+    0x7d47a687, 0x46893af7, 0x71f8b6ad, 0x8804d50f, 0xc4ef7b51, 0x60870602, 0xe7d9e265, 0xcda25dc2,
+    0x1b9e6448, 0xb340aee3, 0xe620e39e, 0x917e398a, 0x9ccd9566, 0x7ef9862f, 0xd13d1d11, 0x2882577f,
+    0x6a8bc1db, 0x8eafb45a, 0x8440a791, 0x0d4639d7, 0x59c48d82, 0x65ef734e, 0x255615af, 0xf57fe17d,
+    0xf333cff6, 0xf96e3d9b, 0xa40a59a5, 0x9e8cb734, 0x089ed777, 0x379db927, 0xba1c5840, 0x387f2bc6,
+    0x38922687, 0x19d53584, 0x2bc3866d, 0x5f492650, 0x9c9bd403, 0x21594216, 0x056ffe6e, 0x7a2ce34d,
+    0x165bbf9f, 0x6b12cd0b, 0xa79bb147, 0x06b332e7, 0xb4f53f02, 0x8eb1a0a0, 0x10217e3f, 0xc9248c11,
+    0x1623b398, 0x8b4ab141, 0xfc68bd00, 0x1dd89d20, 0x802c11f8, 0x4c7c05f0, 0x505ab287, 0x60bb2f5f,
+    0xc041f652, 0xe3671a23, 0x9d4af18d, 0x648d5b55, 0xe5afec57, 0x7e0626cf, 0x76cd6bdc, 0xf520e17f,
+    0x72e8ef42, 0x79a9832b, 0xae98e6a8, 0x0a671e4b, 0x7f1f51c9, 0x556eb26a, 0x1ca56357, 0x9dae37d5,
+    0xe303287a, 0x9cc600b7, 0x0e11d2b3, 0xbe5ba9e0, 0x6a607965, 0x03991cd7, 0x047bce43, 0xd1d6e475,
+    0x1dff4a39, 0xfd02273e, 0xae994c8e, 0xad84b0df, 0x0bc52d41, 0x42340005, 0xb3d02de8, 0xd9ab6368,
+    0x5453ba89, 0x71688202, 0xb6b1d548, 0x2e36ed18, 0x7524959d, 0xd284a986, 0x0a0180f9, 0x6745a933,
+    0x0b4893d8, 0xdd764169, 0xe517cd5d, 0x2d176ca0, 0x50d97dba, 0xbb3f61e7, 0x846602f6, 0xc84d047e,
+    0x2a211d62, 0x60180ab6, 0x2dc5bf68, 0xad3d0f1a, 0x41f1853d, 0x12eb1cad, 0xa5265b59, 0x9d8c184e,
+    0xc72f9974, 0x166887f1, 0x4842e209, 0x935b3ace, 0xc3e3745c, 0xb4d60e3d, 0x2cecc6c6, 0x2f3fa36c,
+    0x1c4b9746, 0x22f6c2fb, 0x2e1796ab, 0x340d3ce6, 0x67168b7a, 0xf84e9939, 0xda048436, 0x280fdd7c,
+    0x44bdd725, 0xdd4b66ba, 0x7f5fc1df, 0x29b9f0fd, 0x1cff230d, 0x36ad5226, 0x450478c6, 0x7c0bd1f9,
+    0x54213463, 0x67aff4f7, 0x87086152, 0x3dd524f7, 0x827b5bc9, 0x32cbfb18, 0x5ca7904f, 0xd120a2d9,
+    0xa168b29a, 0xce0b3996, 0x6819033f, 0xd3f0323e, 0xeee1e9b6, 0x5af04ca5, 0xb1b06c3a, 0x175329b7,
+    0x8ab28d91, 0xcdce159f, 0x36939f8d, 0x8ade2398, 0xc5913600, 0x85fd3772, 0xb24aeb8c, 0x8818d6c7,
+    0xcee38354, 0x3f1de693, 0xb4ddef5a, 0x3946d5fb, 0xafbb9135, 0x583ea4ae, 0x1d1e561c, 0x8a421c17,
+    0xcea0d1f4, 0x8f1e2e20, 0xec91d190, 0xa7c6a791, 0x8be6fed7, 0x94533015, 0x11e47800, 0xdd4b8af6,
+    0x79160ccd, 0x15604261, 0x2f40b13c, 0x58d3dbba, 0x14d0715e, 0x472a0bdc, 0xb210d056, 0x3a323075,
+    0xeccd5fbf, 0xaaed85e7, 0x0630da5b, 0x05c0b3b1, 0x8f55085c, 0x8b295bda, 0x8629c1f5, 0x1f6f8cdb,
+    0x55c8bc7f, 0xafdcb38b, 0x0362542c, 0xfd1fa986, 0x82d749f7, 0xd8d4c68f, 0x78eaeea3, 0xf2fb4c69,
+    0xc62c49a9, 0x5165d2ca, 0x085bd634, 0x613723eb, 0x334e8b96, 0xac1947bb, 0xb2b5153c, 0x91a693a4,
+    0xef2293b5, 0xe0d33295, 0x69fcbbd6, 0x3accdf76, 0xb63ece31, 0x751058b1, 0xb2bdcc69, 0x1d929ed5,
+    0xb0f66da4, 0xf330df63, 0x5c4786ce, 0xea78a6c4, 0x9dcd4e05, 0xc77e3102, 0xcc9c7931, 0xba99f9f1,
+    0x96b8e531, 0x9d3e7c8b, 0x3b2b5f2d, 0x76688a35, 0x26735066, 0x2f6a08ff, 0x42ad0b7b, 0x9781e16f,
+    0xb59a8264, 0xdbff9a1c, 0x972848fa, 0x753513a0, 0x3950e3c1, 0xd9a0eb96, 0xea32f103, 0xcf7d76d1,
+    0x78b5ac5f, 0x89ca5472, 0xb6428248, 0x09db8ce0, 0x9a85f707, 0x1611abe5, 0x7f581420, 0x12b3a615,
+    0xb4d7144f, 0xd1a24aa8, 0x8da3dcf8, 0x1ffeab89, 0x52f5892c, 0xa37c97f4, 0x5db09481, 0x1de6a9c0,
+    0x41b103c9, 0x5839980a, 0xe6c6899b, 0x23457d30, 0xb1c4c72c, 0x7da3d439, 0x0f295cbc, 0xc025bfa3,
+    0x19e8449e, 0x14ccea76, 0xbaecba5a, 0x9f2d2085, 0xe9d0a28a, 0x64e36c06, 0xd0f0e6d0, 0xaf0a2b02,
+    0xdc8113a7, 0xdd053d1a, 0x9637e9c5, 0x10730a24, 0x20055823, 0xee63d1bf, 0x1ee398b2, 0xabe0a69f,
+    0xd8c0c5f9, 0xf3ce297f, 0xca23c5a7, 0xd717a55c, 0x9c9ccadc, 0xf154af36, 0x89d8730a, 0x0708bc9e,
+    0x302ac8dc, 0x7f577551, 0x5f4ef782, 0xe94e64b5, 0x7fe0c5ad, 0x38ce8b03, 0xc8548dbb, 0x673e17b2,
+    0xca61c219, 0x9785ad40, 0xce58920a, 0x1c89dcd0, 0xe5da9864, 0x822a4290, 0xf91d785f, 0x0e5bb4d2,
+    0xfd8befdf, 0x0165ffc0, 0xabe2c8e2, 0x40c57307, 0x0cb14f08, 0xad6ca624, 0xeb551899, 0x71a3fcc1,
+    0x504a7312, 0x46e10ac3, 0xfb9952ef, 0xe12b7e4e, 0xae5fd989, 0x9efc8727, 0x829095c2, 0x36c91ca8,
+    0xfa6ebb99, 0xc9d4b7eb, 0xf04262e5, 0xa8987640, 0x2e004f81, 0xd84961cc, 0x883aa7d6, 0x1fe1f5f9,
+    0xa3f5a55e, 0x380aeb0d, 0x5b0105ae, 0x95b6d01c, 0xe27ed6d5, 0xc41f2a78, 0x32019ff3, 0x61ca1350,
+    0xfcc0df88, 0xd04971d4, 0x5f4940d6, 0x421ffa21, 0x97c87615, 0x1a5ec5d7, 0x9ce36f33, 0xcbbbe4bc,
+    0xd05c5e0d, 0x06882f2e, 0xbfc9020b, 0x2b858753, 0x85798b5a, 0x48ee03ab, 0x63838455, 0x70bd1edd,
+    0x1bdbd072, 0x47e7d677, 0x2d714796, 0x3a570447, 0xcaf09113, 0x8adaa759, 0xc7d37b88, 0x58f18a24,
+    0xb4edd081, 0xa70dfc83, 0x2a3f22bf, 0xf0c57bf7, 0x2c5eeb26, 0xf94bc998, 0x136f0011, 0x22088124,
+    0xae8991aa, 0xc21c018d, 0x137a308e, 0x41b18c9c, 0x94a92098, 0x59e64392, 0x47869c7e, 0x6e7fc532,
+    0x7beda5ea, 0x3ad6b322, 0x28f908b3, 0x493f1481, 0x45a74855, 0x0aeeebe3, 0x13b6353b, 0x7c6905b8,
+    0xa7f89988, 0xd7cba6ef, 0x29fea832, 0x54bc9334, 0xf1652e5c, 0x2be5015c, 0x41d418a3, 0xfa108ebd,
+    0xe3ab3525, 0xb9c492c5, 0x11909dc1, 0x868cdca5, 0x9e2822a4, 0xa2eae14a, 0xc78859e1, 0x0a863095,
+    0x4fe60310, 0x5f54421e, 0xda99d199, 0x623ce511, 0xfb958688, 0xdd3f2109, 0xa33b83b7, 0xbce75221,
+    0x5ef0c544, 0x652d38ab, 0xa02e02e7, 0x60531102, 0xaf3d2ec1, 0x3d37de9d, 0x13175d02, 0x3aa4414e,
+    0x3066473c, 0x6db304b4, 0x9ffbee57, 0x65286b23, 0x986707cc, 0x344befba, 0x6c2b5268, 0x2025c3d3,
+    0x19fc69c0, 0xf4ef5bf6, 0xd7fd8eb2, 0x804e87eb, 0x80af6593, 0x5af47923, 0x6a6c07f5, 0xb9a41edf,
+    0x4e5f7ed3, 0xc305204c, 0x2a7890e4, 0xc4ac4fef, 0xfba3150b, 0x8d477dd1, 0x8fdeb5d3, 0x29591916,
+    0xa3cbb8a7, 0x33d8a116, 0x97326790, 0x23cb084a, 0x806587d5, 0xda3d4fc8, 0x18e06279, 0x826ae3ed,
+    0x69ed9e26, 0xb0bc1660, 0x34b7bad3, 0xe2afbd37, 0x7398c6ad, 0xfb01f464, 0x8bac9c1d, 0x9b0078ce,
+    0x85fa39de, 0x8ca13577, 0x69dca7b1, 0x258d3488, 0x7161fd9f, 0xf31cf565, 0x70b6b290, 0xdfbf8ef3,
+    0xae6efee4, 0xd1fe6053, 0x800109c9, 0x4d8f07c4, 0x22ad0284, 0xcf1c27c5, 0xca9e204b, 0xc4404880,
+    0xddb0c6bf, 0x19bcc252, 0xe2856084, 0x47083740, 0xbbf5ddc0, 0x6dc504f0, 0xf0ae1fc0, 0x4a4c10f2,
+    0xa57e6a9b, 0x95d463a9, 0x5df8489d, 0x404a852c, 0x4aa2507c, 0xf75fc348, 0xe3c70703, 0x963b9b14,
+    0x0a407bfb, 0x101ccb88, 0xdbf56ec0, 0x216672eb, 0x0eb6515d, 0x23ac4381, 0x4bfeee92, 0x04a15e71,
+    0x3fa14b16, 0x3053eaa2, 0xfbec906a, 0xb1844767, 0x0719aa41, 0x02512acf, 0x9db0d44d, 0xc2e1d851,
+    0x1069cb79, 0xf004688d, 0x720ced50, 0x462638e9, 0x47b7620e, 0x7a70a943, 0x51fcf959, 0x7af1f157,
+    0x90195e39, 0xc163b724, 0xe8a89f1e, 0xa537154a, 0x5082059d, 0x27438c89, 0x7f58c084, 0x79784c3d,
+    0xbcfaa42a, 0x7887066c, 0x40f1a005, 0x75777902, 0xb4612538, 0x6e950a8f, 0xa1fe8d97, 0x2d893a4c,
+    0xb7fb645f, 0xb2d29199, 0x06f956cf, 0x7fe079d0, 0x6cfd0185, 0x63f44adf, 0xc64621de, 0x1fbb1cf0,
+    0xd8df5780, 0xb1dc13b6, 0x800a5b93, 0x880d64aa, 0x351db4e4, 0x2ba075b6, 0x49d7f856, 0x86345c81,
+    0x86c1c2da, 0x311fd0f0, 0x5e7219ae, 0x98805e03, 0xd0a3ba50, 0x8c32aaf4, 0x1dec483b, 0x3e15dbda,
+    0xb4abb44a, 0x1cba601c, 0x78a6ebda, 0x32b0f594, 0x4682dbc3, 0x11655148, 0x3ff4472b, 0x7d784175,
+    0x985ba688, 0x29eb0bd4, 0x5f463756, 0x7e089c8c, 0x039abfb8, 0x9296ee15, 0x74c06e05, 0x60545090,
+    0x4c9ce259, 0x8d797607, 0xc3c52f28, 0x81ccdbd6, 0xac7286da, 0xd66f9df1, 0x3bcd6e62, 0xf9310aad,
+    0x6d3b5920, 0x7916ebe9, 0x08e8bbb0, 0xa75616bb, 0xdd1c23f9, 0xb6755b08, 0xa0f72519, 0xc91cdca8,
+    0xedd06ec5, 0x33687c9e, 0xe557d603, 0x07912714, 0xded80c4e, 0x7498c618, 0x77d40542, 0x1f731729,
+    0x39060f98, 0x4c11953a, 0xc51dfa98, 0x6dedfd80, 0xd4353046, 0x58b89aa9, 0x2553fd46, 0x7c474860,
+    0xbda06b7f, 0x5b66f238, 0x44679e2c, 0x9975b9c0, 0xf6adbad6, 0x94c47322, 0x8f5e541b, 0x55c5aa2d,
+    0x2f8b7b2b, 0x0bee86bc, 0xcf75283c, 0x061f9d28, 0x860f6863, 0x818304e3, 0x090f8308, 0xb886e8b9,
+    0xd94381a2, 0x05d6e25e, 0x04b89d69, 0xf6512397, 0x5a026db8, 0x3a13b90d, 0x7960e6ee, 0xad63388f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000137438953472 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000035, 0x269e12f2,
+    0x00000000,
+    0x9b15442e, 0xd7eb82ad, 0xbf008b71, 0x27322fed, 0x0c29660e, 0x6747a7af, 0x36284464, 0x07c1dffd,
+    0xd291017b, 0x2e2cbb22, 0xeb2f7a41, 0x26aacbd4, 0x4b81f81e, 0xcc20687a, 0xf907ee7a, 0xdef1785c,
+    0x27669902, 0x54703a30, 0xb19da228, 0x4ed52ba8, 0x077371d2, 0x0e98a12a, 0x3414af30, 0x4c702ba0,
+    0xd3ff5c1d, 0x63115c9e, 0x96d81497, 0xc8c760dd, 0xb022fe8f, 0xcfc02e92, 0x169153bf, 0xda674c1a,
+    0x2bffc4a3, 0xbf6cfa84, 0xcbe46d74, 0x5ce5001d, 0xda028ae3, 0x225ab27f, 0xe69eabe4, 0x3aeb755e,
+    0x7a713775, 0xa35608b1, 0xf17ef409, 0x1909aed1, 0x87e71649, 0x3fc2716c, 0xf0723d4f, 0x676624c8,
+    0x48294610, 0x87c4e21b, 0x8fc73b75, 0xf0dcdb15, 0x5336f20e, 0x267a7936, 0xd823055b, 0x68cfdc17,
+    0x323334b5, 0x38f04120, 0x8cc04ccb, 0x8b1bb656, 0xc71af39d, 0x01a999ee, 0xb13d0728, 0x2a4676fd,
+    0xa085a5d1, 0xd401d4a2, 0x16dafe93, 0x7b04bf37, 0x98b8ec24, 0x0fe479b0, 0xbad275d4, 0x7522cb3c,
+    0xfc5c02db, 0xfc224761, 0xedb779f0, 0xfc63f220, 0x6a17286b, 0x2989adaa, 0x298fe86c, 0x5e1645a0,
+    0xd6b6e6eb, 0x4c4dde5f, 0x22a61ba4, 0x470e5f61, 0x289290cf, 0xbbe5b7ae, 0x4e8eec49, 0xdcf8dbe1,
+    0xbc6292f4, 0xb98957d1, 0x121a8ddc, 0xda4de9dc, 0x42265d88, 0xd2f6b9d9, 0x2b7f6345, 0x67899444,
+    0x113bab24, 0xbbf20f35, 0x03ba82f0, 0x33d0f8e0, 0x105daf88, 0xe6d7415b, 0xdf1e1a9f, 0x312c10de,
+    0xea7e3289, 0x2a85ebdd, 0x48c0135b, 0xb5e2699f, 0x670e2a51, 0x72e20fdb, 0x40ad61bb, 0xf2b28e26,
+    0x245035f8, 0xf8f2264b, 0x39fb773f, 0xbf039008, 0x9c1eb76e, 0x7e79ee98, 0x81670672, 0x89c962d7,
+    0x74305641, 0xa7ca619c, 0x9562a401, 0x58e9dcaa, 0xe2242513, 0x6fa8890d, 0xf52983f1, 0x10538bad,
+    0x7bcc7d49, 0x6730208c, 0x5b133dff, 0xd5398af6, 0xc411fc02, 0xa090ef8e, 0x920d4ec2, 0xa62211dc,
+    0xbab8f7a3, 0x5517173b, 0x266eeb8e, 0x8e0143ef, 0x98f02ec7, 0xebdbd001, 0x2d002cdc, 0x3b381ff7,
+    0x3f437fc1, 0x9f5e74c5, 0x848841b0, 0xba9f030c, 0x2689842f, 0xe9ec76c2, 0xca06ccbe, 0xa4351b89,
+    0x37a2f137, 0xf389ae54, 0x618f5a65, 0x9570b888, 0x3fa40033, 0x95cb1429, 0xe2f8cb19, 0x37e3052f,
+    0xad7a83aa, 0xd97092fa, 0x0799533d, 0xac81d888, 0x42a84337, 0xd4cf0744, 0x15174837, 0x02e635a2,
+    0x54d1fdc9, 0xa7e1a74f, 0x67bf5cf7, 0x52cb8cf9, 0x5cc5de16, 0x98c4b69e, 0xb87e47e6, 0x120e5db1,
+    0xbe8e7a3d, 0x8e1949b3, 0x152551de, 0x82c35e48, 0xd5c87af3, 0x3001b1d4, 0xd93ef850, 0x7ac21272,
+    0xc710862c, 0x57606412, 0x789f3172, 0xa50ac372, 0xb53c35ea, 0x49c87058, 0xd7f64f82, 0x7f22b558,
+    0xc77e361b, 0xd850c564, 0xbbc0327c, 0x0c0d8696, 0x57fefb82, 0xdfd2dcac, 0xf983ccf6, 0x337d2f14,
+    0xe1378724, 0x3a50f8a1, 0xdae600ff, 0x73cb4274, 0xc13bc0d3, 0x7521054d, 0x3463cad7, 0xef82eb90,
+    0x016edba6, 0x1500422d, 0x0af1a98f, 0xe0c3181f, 0xd2978279, 0x506d3f2b, 0x84054890, 0xfa480e63,
+    0x3e187296, 0x0db79e33, 0xe7ab2105, 0x4287a0e4, 0x54af13ed, 0xf49a4d27, 0xf2c52ecd, 0x1efc66f0,
+    0x358070da, 0x5fa2b7f0, 0x2a0c0263, 0x2fea8d66, 0xab1007a4, 0xa2cd5e40, 0x11e3fb4c, 0xcda7a3ab,
+    0xf34e5880, 0x09dd01ba, 0xff4605a9, 0xb6dc69ff, 0xabf04e56, 0xb7c1da16, 0x51bb1b88, 0xadc7bcec,
+    0xfc59f0a5, 0x16610d05, 0x9fde9212, 0x9f499a1d, 0x0141ab0b, 0x736b9c9e, 0xe7700974, 0xe2cf5a4b,
+    0x44570160, 0xa0a61450, 0x0a6a6aed, 0x44b7510b, 0x8707a221, 0x4021f6ac, 0x1b2d3122, 0x779778e7,
+    0xa8c28314, 0xa7393c78, 0x0577c490, 0x315f2e01, 0x447a6393, 0x8f8dfd15, 0xc8f65fc8, 0xf0d3fe8a,
+    0x3753ca5d, 0xd458b68a, 0x23dcbdcd, 0x63e69713, 0xdc9d12de, 0xcfb25455, 0x2872b195, 0x85ba4ad5,
+    0x78bded99, 0xd0ec00bf, 0x3f9f908e, 0x41c96fe9, 0x73043a51, 0x8cebd850, 0xa30c9fe3, 0xa29ff6f0,
+    0x49c57941, 0xed27e698, 0xb8f520cf, 0x0eb2c6e8, 0xc3529e87, 0xf49bb67f, 0x5f248c2c, 0xcb9faede,
+    0x6ac15a11, 0x3de00065, 0xfbf841db, 0xb14dc770, 0xa8f96d1a, 0x0ebf3770, 0xb2a296a5, 0x861eaac1,
+    0x088fd99d, 0x3717fff7, 0x8311433f, 0xaec52858, 0x731cec30, 0x9932fa50, 0xfc94e69e, 0x38fde193,
+    0xe1facbd8, 0x1934fac9, 0xf926f286, 0xa0e8ce4e, 0x6e0727a7, 0x79cbade8, 0xb9befbc2, 0xf9d73c2b,
+    0x39233a63, 0x58815d44, 0x5e5d43b4, 0x7b1fcf9e, 0xaebdfd45, 0xd9cb0ec8, 0x70469a3b, 0x03eca9a3,
+    0xc26f8e06, 0xa9b63f67, 0xf49f152a, 0xd88a0c04, 0xff0293a0, 0x0e6d2296, 0xa610797f, 0xb84edcba,
+    0xadf72270, 0xa99f4189, 0xa722c092, 0x733154de, 0x0140d67e, 0x84f11bc9, 0xffd37bdf, 0x99975e37,
+    0xbc95dd3e, 0x75acffef, 0x211d9ddf, 0x3d968c76, 0xf4e260ac, 0xae806078, 0x01f21f1a, 0xefc7bd1e,
+    0x75808f87, 0x90ece292, 0x881d366d, 0x46ca3e90, 0xc9790467, 0xef2e059b, 0x9cdcd5a2, 0x7c95efd3,
+    0x188d2709, 0x71118263, 0xb3a210f6, 0x9a30691e, 0x6448e9d6, 0x352f7745, 0x3512a8ff, 0x309351ba,
+    0xd3c25990, 0xe8e7ba3d, 0xa9c1fc42, 0xd17af03f, 0xc2ee295d, 0x2b505e6f, 0x10514f90, 0x6cdfd47a,
+    0x0247197c, 0xeeb446ed, 0xf8d7a2b9, 0x666c5eac, 0xd9a38bae, 0x93571eb2, 0xb36495f0, 0x72b0449b,
+    0x34e4c947, 0xc9ed4636, 0xe8a91170, 0xb532ea94, 0x7e34979a, 0xd6002a90, 0x8adc9a21, 0x7d82f468,
+    0x5fffb9a6, 0xd32d176c, 0x60837feb, 0x17c7c8b0, 0x1397fd55, 0x680c32bb, 0xb30b47ad, 0x12fb44ca,
+    0xe23cb4b2, 0x18b44b8d, 0xceb0e776, 0xfd455bab, 0x03c96b58, 0x7db515f7, 0x1e09df7d, 0x37b6981a,
+    0x3f46d8ea, 0x0aab9004, 0x1cf315af, 0x2e6856fa, 0xca5a8fe9, 0x486b900e, 0x66021ebb, 0x14129dc7,
+    0x605dc1b6, 0xd4051c26, 0x291dbd01, 0xe66e350d, 0x6c6e7611, 0x23920727, 0x21d5fc94, 0x0c78211b,
+    0xeb007b24, 0xf8e5dfc3, 0x8394b255, 0x29afa8f2, 0x64bb9599, 0x43bfd4e4, 0xfe13b126, 0x11cd2c8b,
+    0xcd7c9ef5, 0x8ddc6309, 0x77effbe8, 0xdcac2215, 0x6bf22e12, 0x31ec158b, 0x95c73c12, 0xe570058e,
+    0xe59facad, 0x26c9cdd4, 0x75b3bd74, 0x48f76c41, 0x90977588, 0x60c75f1c, 0x6b83b1cd, 0xad9237a3,
+    0x224323a2, 0xd045e51f, 0x8e0427bb, 0x534b7504, 0x8350c7be, 0x50329c8a, 0x62234d93, 0x9511a0b2,
+    0xc233c166, 0x40c6ce35, 0x19e8bb7a, 0x87cf9b0a, 0xaf0cbeec, 0x684bb87e, 0xca753118, 0x522ffefd,
+    0xb5908b32, 0x29ab1dce, 0x6f7d7222, 0x91256968, 0xf054ba04, 0x7faead0c, 0x91b92888, 0x670426c8,
+    0x844f93ef, 0xcba37d04, 0x8ef69755, 0x32c4a0ed, 0x9e85e299, 0xae61cb8b, 0x62835a34, 0x2abcbd64,
+    0x4ec190d7, 0x583986ab, 0x882a7990, 0x5ab40b11, 0x146941bc, 0xdd46c6f7, 0x98a687c1, 0x40f0370a,
+    0xc0d4be74, 0x45f1bed3, 0x631f0da0, 0x6d1408ca, 0xb59e1017, 0xe01a410e, 0xad97d153, 0xfd9a978e,
+    0x2dac38f3, 0xfa6a5aa4, 0x834c0155, 0x1833beb8, 0xb3cd18c1, 0x41f95b1f, 0x20667b45, 0x925e2e3e,
+    0x513d7e91, 0x11cd35bf, 0x79d4ba09, 0x48ad36ae, 0x4d66614e, 0x1fe06ea9, 0x915fd47e, 0xedbfdc86,
+    0x6d3497e1, 0x553dd0a6, 0x9cc22378, 0xf3a263c3, 0xfc677c8f, 0x8ec08e37, 0x7407aa9c, 0xb5514211,
+    0xf6007fd0, 0x49eab218, 0x72e7846e, 0xae05041d, 0x321fca15, 0x718e7153, 0x66e629e6, 0x07fd796a,
+    0x5db1e9a1, 0xa4f9fb17, 0x3ecaa129, 0xa9174690, 0x70685f1c, 0x79fc5059, 0x0008f449, 0xedc5a2d6,
+    0x0fd84add, 0x57d43f64, 0x41638e4e, 0xa9269e73, 0xb684a252, 0xff12a550, 0x5e999f05, 0xdec34304,
+    0xfcaf8d48, 0x2b1f479a, 0x763791cf, 0x0015840d, 0xa83b7fa2, 0xf2ca91fa, 0x681c18ac, 0xedae3388,
+    0x7031a536, 0x0c843ea8, 0xe8af2515, 0x310ce48c, 0x201c1115, 0x97beaf7f, 0xce58d72a, 0x340cda69,
+    0xc5e27d9f, 0x61f59d64, 0x873188fd, 0x631511de, 0x9a2b973e, 0xf7dceabe, 0xa3cfc548, 0xb485f248,
+    0x0428349d, 0x3276f76a, 0x87612b39, 0x4f1cfe87, 0xdd345aea, 0xd7229c65, 0x36007f02, 0x58140ce9,
+    0xe307c9f9, 0x619159e6, 0x3d76b94c, 0x599c326b, 0xcdd2024b, 0x0132c593, 0xabacc70d, 0x999822b2,
+    0x4b68d54c, 0x4fdb97f4, 0x5c7666a6, 0x7e670210, 0xc2a3bb21, 0x7143d8e0, 0xb7aa3c32, 0x6e61057f,
+    0x14608468, 0xad142303, 0x8a9658f6, 0x7129687d, 0x534bde57, 0x7860f61f, 0x3b0dcef0, 0xe11a6137,
+    0x1fb878e7, 0x909b9061, 0xe58905fb, 0xca0ae7fb, 0x09c67da3, 0x1d29911c, 0xce16d74a, 0x37a8bc36,
+    0x6ae01c05, 0x07b71092, 0x0acc95b9, 0x658ab34d, 0x13e24117, 0x46f54250, 0xe65b0c5f, 0x0e3ccef6,
+    0x9e1778f3, 0x366f933d, 0xd8fdb599, 0x435de465, 0xd7d19bc4, 0x261f567a, 0x9f917abe, 0xaf6e05ce,
+    0x59bd4208, 0xe8851098, 0xd1aa500a, 0x558edb05, 0x7ba9109f, 0xf2e68e05, 0xb26f1977, 0x0f51b0e7,
+    0x6ba1c924, 0x500a5b9c, 0xfca16894, 0x6b89ebc9, 0xfdf8acbf, 0xc2bee165, 0x30acf0d0, 0x29ba472d,
+    0x5eab1be2, 0x9d965a91, 0x63397dec, 0x69b1c054, 0x4f66c98c, 0x60b97d6e, 0x117b865c, 0x0885c7a3,
+    0xec55a384, 0x16d2bf93, 0xf9c6f3a6, 0x7b9f4bc4, 0x756b4e73, 0x42f34ad2, 0x84d62532, 0x8346e980,
+    0x3b9f0ab6, 0x2876c444, 0x560f1256, 0xb56d4028, 0x4e3205c6, 0x25adb294, 0x5c5df829, 0xc3365e0b,
+    0xd9f66abb, 0xf6f46051, 0x8bb81e28, 0x3fecd513, 0xc183fcb1, 0xffebe95b, 0xf0e88172, 0xd2f92348,
+    0x68dce5ef, 0x08d43b14, 0x5b2ddded, 0x77b81c68, 0xded4a789, 0xe8af06bb, 0xfd116f19, 0x604af6f9,
+    0x024dad64, 0xf7e404e3, 0x70541088, 0x400fb488, 0xbef9164e, 0xcc51932b, 0x519862aa, 0x81b9c2a7,
+    0xb505192a, 0x8bee5289, 0x6654dee9, 0xb0fa9a6b, 0x8280fbf8, 0xa3da1fe6, 0x2f4f0a0f, 0x879e7614,
+    0xe78dc503, 0x1cf39798, 0x5985140d, 0xe44dd2db, 0xd0681730, 0x9d5e6d14, 0x4df6bde7, 0x6422c505,
+    0x84397090, 0x90026e8b, 0x7b1daa33, 0x24a8aeb8, 0x6047e398, 0xc55ceca8, 0x671532b5, 0x52e18009,
+    0xc2a35297, 0xc8d67568, 0x1eab5de9, 0x2cf37527, 0x02e8fe2a, 0x8790c01f, 0x88474f39, 0x23b4ec8b,
+    0xaed5023d, 0xbf297d25, 0x9813cc77, 0xd8b04883, 0x6ead498b, 0xe4f8c4a8, 0x2aec19b8, 0xeed555b7,
+    0xa982e757, 0x784e99b4, 0xc0d877b1, 0xde8bb028, 0xba605b5a, 0x69014a23, 0x38cf6679, 0xdf6ff816,
+    0x89a2afe0, 0x8ee93943, 0xaf926e75, 0x77edae67, 0x4c7b3949, 0xa1a21d8b, 0x63641723, 0x4f21ce0b,
+    0x52696696, 0x30e7e639, 0x744fe98d, 0xd8c938d6, 0x9a435bcc, 0xf6f32801, 0xd4da382a, 0xb5498ccf,
+    0x830d7219, 0x4c7cdc70, 0x52d59682, 0x00c32435, 0x41483f02, 0x62201912, 0x6082449a, 0x4bba24b3,
+    0x02680308, 0xdfdb3780, 0xc782de9c, 0x6ec6157e, 0x3d3f9e0d, 0xcf392e54, 0x8f163f5c, 0x8989e2d5,
+    0xcda2b1ca, 0xb621d452, 0xcf93f357, 0x60c0e7cf, 0x17e2c56e, 0x0fcb92c0, 0xb8c77f30, 0xcb22afd4,
+    0xd81c76ab, 0x11025cdf, 0x8589c188, 0xa14c000f, 0x39f93d0c, 0xd5aeb9cb, 0x5e02b1b2, 0x230e7004,
+    0xe63c313d, 0x17e6f030, 0x5fa08dcd, 0xb533760e, 0x004f35fe, 0x1e874f18, 0xc898f5c9, 0x2e1d79c4,
+    0x411601db, 0x53af66e4, 0x40d9fdff, 0x87de238c, 0x91512ac1, 0xd352d025, 0xece20ae8, 0x71bd08f9,
+    0x51b527db, 0x9034f201, 0xafd72adb, 0x0bb3dc72, 0xdb7ae312, 0xe364e571, 0x905dd594, 0xe7f36fa6,
+    0xaed67f4a, 0xf4d8846a, 0xb47c6db3, 0x45d13782, 0x39f47129, 0x92cf2667, 0xc9ebb57c, 0x49dcc552,
+    0x96291ab6, 0x6ecc1d61, 0x170dbac3, 0xf54bf0cc, 0x3d114a1b, 0xd6ff95c2, 0xa4b129b9, 0xc336b125,
+    0x7d94cd56, 0x8fb68217, 0xc9f78557, 0x4fdf519e, 0x77a0009a, 0x191f92b1, 0xa49dea4a, 0x4a410cfb,
+    0x0a7c0627, 0xbc585f66, 0x306f5047, 0x128d1fba, 0x75584bf6, 0x79dcbd87, 0x78db58b0, 0xed0bd290,
+    0xd49af14a, 0x1fdb2f88, 0x915c1f4d, 0x26766cc6, 0x1f11065c, 0xaf486fd3, 0x50d5c577, 0x005b2993,
+    0xd9544762, 0x0fd382c7, 0xfe6d75be, 0xf3460792, 0x8ec2f1dd, 0x7e3dd6e8, 0x9913bd4e, 0x7cfd5e2d,
+    0xcc6e10fc, 0x74693ff1, 0xf1aafcf9, 0x3bee49ed, 0xbb833be1, 0x2c7f4958, 0xa951ed8c, 0x89acd7e8,
+    0x81cd311a, 0x0f68a3bc, 0x71c2e1b8, 0x8e23fb52, 0xc571f1c7, 0xcd750f0a, 0xcb33a7a1, 0x3db10b5e,
+    0x2d2cbacb, 0x2ea351e6, 0x00fce3ce, 0x91a6b11c, 0x1a2fd6c4, 0x46b211ee, 0xc8eb1f12, 0x1916a010,
+    0xc5fc65f4, 0x0a0a0195, 0xfe5afb8e, 0x9f42f720, 0xda2b81ce, 0x07f4b1c5, 0x03135e65, 0x339f6fb9,
+    0xe9dbb37c, 0xbfd06a7b, 0xad5aff88, 0x0c29c7ac, 0xa673cc00, 0x82433a25, 0x0499dd48, 0xc5d0f28a,
+    0xa8dce78f, 0x70a763ab, 0x44c1385b, 0x47344a83, 0x08d8656b, 0x8351010c, 0x7f7a8115, 0xc55be233,
+    0x3bcdd9ad, 0x942cb2a0, 0x2cfa15aa, 0xbbdcefac, 0x16da297b, 0x8121a913, 0x83a85f2b, 0xec933e94,
+    0x28051f70, 0x72e2dd16, 0x992a03a6, 0x0a2bb267, 0x0dc641ee, 0x1e79f53d, 0x92a426d8, 0x154f0a0f,
+    0xc5912c5c, 0x639f8449, 0xcf079960, 0x8f4762b3, 0x5bc15c53, 0x2df4d673, 0xd9e82625, 0x9a5ae529,
+    0xfb43bdd0, 0x65f9d495, 0xda3b8e25, 0xdc2628fc, 0x2c40c81f, 0x2b5dd532, 0xc5f91615, 0x0b932b4f,
+    0x617e0189, 0x350213f1, 0x2cf87128, 0x14f7cd4b, 0x4ac50869, 0x7ee7a443, 0x3fc4ad75, 0x25bfedbb,
+    0xe1909a20, 0x6bd9bd54, 0x33ccd7d8, 0xfdd49b54, 0x7acd4659, 0x393eb482, 0x031d15ac, 0x6d6642bc,
+    0x111a53a6, 0x856ee6ea, 0xadaf3d09, 0x9eead5fd, 0x162901d9, 0xe0c50b72, 0x1925ccef, 0xbc7c87fd,
+    0x3a624b3d, 0xe4a953f2, 0x8cca8bbf, 0xb28042a2, 0xe5d65c66, 0x945268d7, 0x044820d5, 0x699bb5b9,
+    0xa137396d, 0xcf24a836, 0xea064f01, 0x909de822, 0x8dafc021, 0xbb2382e8, 0x05b9c2a7, 0xb6c15cb8,
+    0xbd4dc04f, 0x93e38359, 0x350b4836, 0x2e91bbdb, 0x1b7c2dd0, 0x091d2ea7, 0x18306499, 0x77f6620d,
+    0x9d3dd2eb, 0x33d16ed3, 0x8c8c14d6, 0x11fd2bce, 0x9957e340, 0x079a39be, 0xddc78eb7, 0x28be7dd2,
+    0xa01d75e4, 0xb22a02cc, 0x255c955e, 0x677ca2e2, 0x3369b3db, 0x9dff58e1, 0x02c07d15, 0x3d228a77,
+    0xc404f1da, 0xeb765384, 0xaddc0b22, 0x9b4c3d59, 0xca3ecf57, 0xf0eb8f0a, 0xf8d3ab0d, 0x9de07c8e,
+    0x33637c78, 0x6ff188c9, 0xb0ab1785, 0x7bdffcc3, 0x403d5678, 0xa53f8cf6, 0x17fdb2f3, 0x57ff1a28,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000068719476736 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000001a, 0x934f0978,
+    0x00000000,
+    0xc74073c0, 0x2b6a8208, 0xee5d7af3, 0xe83903bb, 0x4763b87d, 0x69f99eac, 0x67543546, 0x58c39fe5,
+    0xb20e2691, 0xdc715fcb, 0x2400239d, 0x481f8ba0, 0xdb4706ca, 0xce863685, 0x08ada01b, 0x858f26a6,
+    0xbf7f9f79, 0x0ee8eb27, 0xe229a4f1, 0x4dfaef5e, 0x95456471, 0x6838416f, 0x90dc19f3, 0x0fd6e84d,
+    0x79bc3411, 0xc73565bd, 0x865e64f9, 0xb7bf5f74, 0x9e8d08ac, 0xd0c36de4, 0xe214db03, 0x844ad847,
+    0xf8e8528c, 0x48d7b511, 0xe0e360d4, 0x4d2f7f68, 0x84f7172b, 0x60fc6da5, 0xbc8c7bbf, 0x4385609a,
+    0x103b6c2f, 0x8b411d8b, 0x4a0a35ea, 0x33407628, 0x06d94ab6, 0xf63e3095, 0x89e3862d, 0x3f291b0c,
+    0x078e4996, 0x7f0f01f2, 0x19c39bd4, 0xd65673af, 0x3e775bc1, 0xd3e7edfd, 0xcbde0284, 0xeb5941ba,
+    0x2c027a88, 0x55ed3291, 0x2259af15, 0x8c6cb66a, 0xaf0cc9e4, 0xbce45133, 0x74d2ac05, 0x3e395696,
+    0x9163954d, 0x8a7e6847, 0x2ddba215, 0xc0ce98ae, 0x41c67232, 0x266e5257, 0x73272bc5, 0x0e9f01ce,
+    0xcc01eacc, 0xa56afcbf, 0xa2602e0a, 0x1aeab401, 0xbe047243, 0xd191fc70, 0x595a14ce, 0xa6019c42,
+    0x1c14ba49, 0x9a7b59bc, 0x31fbdad6, 0x78c602c1, 0xc11033dd, 0xf2df820b, 0xbf21cfca, 0x0df08b9c,
+    0xed6adbf9, 0x2a2f7471, 0xa868291e, 0x85571133, 0xf61516ed, 0xab440f27, 0x19ed6e31, 0x17d60209,
+    0x24577fa3, 0x9877553e, 0xfd863003, 0xdfb300ba, 0x25ecca5c, 0xd1fec0f1, 0xed9bb354, 0x465c8c8d,
+    0x08b10f1b, 0xe528b78b, 0x17d8f58e, 0x00a7c70b, 0xf7f4089d, 0xb36895ca, 0x63120317, 0xca728cfe,
+    0x9347ad51, 0x793b903d, 0x46afd598, 0xd06f82a3, 0x09bda784, 0xcbdae7ae, 0xd05aea35, 0xd719e063,
+    0x042dddb7, 0x51537017, 0x0fc756f0, 0x2ae1b5a4, 0x79c210cb, 0x68bf7c9b, 0x43955f59, 0x81303a91,
+    0x8f3d7cfb, 0x521ffc80, 0x9e6afa35, 0xa442eddb, 0x3a543bbe, 0xacfeb642, 0x67f5f9d1, 0x4ce1c6f6,
+    0x2888dec9, 0x810cad03, 0x4919f890, 0x85a6bbd5, 0xdfdb04c0, 0x354b6069, 0x926e3b49, 0x16e1cb72,
+    0x27345ab9, 0x1e986271, 0x46de689d, 0xf01337ea, 0xda994cad, 0x4b5a7c67, 0x30a915cc, 0xb3b32663,
+    0x4378853d, 0xb8e477fb, 0x73f27dc8, 0xc56b56ac, 0xe10ed418, 0x8b21f263, 0x41362639, 0x8d76498d,
+    0x2536526e, 0x34e92d3f, 0x74c779b3, 0x1d892fd6, 0x46aa3b4a, 0x72bbca14, 0xdbb7d938, 0x3655990e,
+    0x13a61fb6, 0xb35ad5fb, 0x4236f4b1, 0xf35e6b5c, 0x8eda411b, 0xecc0ce12, 0xb69fc331, 0xf619ee2e,
+    0x57718121, 0x8330781e, 0xb3c9f86c, 0x77ae963e, 0x274fe52e, 0x9011f331, 0x009a0ae2, 0x093b18da,
+    0xe1db92e4, 0x155203f4, 0xc866416b, 0x9f8efc22, 0x6ec0c878, 0xd6e8f813, 0xf4a7a054, 0x9a253d13,
+    0x3f49fc4a, 0x211c9f89, 0xf7c2b6c9, 0x0a25a12b, 0x9a94e9d4, 0xbb049066, 0xf6d381a0, 0x9aa85255,
+    0xfa85f5e0, 0xfe642b9c, 0xac7baade, 0x0f5e4f75, 0xfb007b07, 0x7a7fdc55, 0xdd61b0bc, 0x29ee394c,
+    0x0051beef, 0xdf47d94c, 0xdd39b2d5, 0x71718fe2, 0x51ae678e, 0x8f387a18, 0x80d05c43, 0xf629199c,
+    0x6509725c, 0x19c093c1, 0xefcfdab2, 0x03e1a64e, 0x8d1f8975, 0x1f8ef519, 0x0ec9bb52, 0x2e7df1ce,
+    0xea5cf8d5, 0xa1c903cd, 0x02ecbff0, 0x59fabacb, 0x8b6da111, 0x455a3f3b, 0x89efed21, 0x3477fa81,
+    0x0590c4f4, 0xa566288b, 0x908e2fbf, 0x0c6a6f4a, 0xb6d0ea96, 0x9a547e8a, 0xc34a946f, 0xe1a58387,
+    0x308af220, 0x33493fcb, 0x4443c1d0, 0xaba9e765, 0x846501a4, 0x5f690c99, 0xea2b17c8, 0x9d2cbda9,
+    0xd423ce71, 0x596a10a4, 0x5194cd3e, 0x13241eaa, 0xad7e056b, 0x9b1f327b, 0x6e2c360f, 0x3dfb3501,
+    0x29e7c03f, 0x369e220f, 0x8dac2d57, 0x5ef910af, 0x13cd2076, 0x97218d6e, 0x44b9c882, 0x0c6b6032,
+    0xf832d66e, 0xa69b902d, 0xc9f7a8da, 0x6e6ab7ea, 0x7c367485, 0x4e877695, 0xa034e01c, 0xc0fcc711,
+    0x315b6de9, 0x938ab6fd, 0x9e449678, 0xc919bfe4, 0x5b62c867, 0x59600205, 0x235683e3, 0x183fdaf8,
+    0x499c93af, 0x0d025950, 0x1e7e4964, 0x9e069473, 0xcfd82b8c, 0x352e63e6, 0x39f68a9c, 0xc82292bc,
+    0x40dd605f, 0x854e9973, 0x050a8848, 0xeab56671, 0xd58d0798, 0xacd8ac44, 0xcabbb816, 0x4d848b53,
+    0x6d45bac5, 0xe627e9c8, 0xa0f64729, 0x080d21e9, 0xb1824d31, 0x4e80ae3f, 0x4c85acbb, 0x7985df6a,
+    0x5dde3836, 0x615a693c, 0x8da6b69e, 0x61f2410e, 0xefa1e056, 0xfbedf2b1, 0x0a0755b2, 0xfdc0ea2a,
+    0xd97e7af6, 0x0d8c5f6e, 0x565f5720, 0xf15bf1a2, 0xb68c02e5, 0x46eda46e, 0x11011d4c, 0x760cd640,
+    0x8afe9879, 0xa8eddcc7, 0x9391c6df, 0x3f6c69ee, 0xc9cbf4b7, 0x39c310d3, 0xc2f2adc4, 0xd7456b81,
+    0xd67d1c91, 0x9ac9e679, 0xa2f4e44f, 0xd7ef2dd4, 0x0658b82b, 0x7cd56b16, 0xfa22e271, 0xa94651e5,
+    0x222f187e, 0x186779fb, 0xc9b75abc, 0x4d808f24, 0x1a20ebe7, 0x348ac2ad, 0x7e88e2e9, 0xb2638235,
+    0x517e969a, 0xfc96cceb, 0x4ef092bf, 0x2306c881, 0xf70c9f62, 0xb97ff03e, 0x8d84f676, 0x541d2184,
+    0xd8e2dc5e, 0xaab5994a, 0xe6379b9d, 0xdbe69023, 0x6dd57b6d, 0x82d348cc, 0x6ab781c9, 0xe9fdb226,
+    0x0f4c234d, 0xeb02fab1, 0x72b63c57, 0x9042416e, 0xcf7fd46d, 0xfad4b670, 0xec28ee56, 0x36a33b71,
+    0xa8e30faa, 0xa6c26921, 0xb61646da, 0x8570d9aa, 0x7cfd8b88, 0x3b19ae93, 0x43ab51b8, 0x0eb2ebce,
+    0x57554ab2, 0xa20b93d3, 0xb398d183, 0xda964fff, 0x7f376b75, 0x33a1e048, 0xfa521e70, 0xf6f8c544,
+    0x29ee5f56, 0x652eab69, 0x2404fde6, 0x996e2327, 0x45e94a69, 0xc213a6c1, 0x49e414c4, 0x4dbcddf2,
+    0xd7aa731f, 0xf7b57d39, 0x9117a96c, 0x2b57afe1, 0x02aa8e5e, 0xa9d19818, 0x457c8086, 0x89939181,
+    0x0b8666b0, 0x52f534d1, 0x98045d87, 0x01a706af, 0x5eba49fe, 0x8255c570, 0x3b4114a0, 0xe205c78e,
+    0xd5fab529, 0x59b6f8ad, 0xed33743d, 0xbbe73fff, 0xc6a24c0b, 0xed98daa0, 0x421b5913, 0x916ec6f8,
+    0xe5b6e4e1, 0x70421337, 0x6e3ba93a, 0x782ab710, 0xdbf87c56, 0x1163e534, 0xa54b879b, 0xfe14918f,
+    0x31b59638, 0x84d3a1f6, 0x0dc743ec, 0x8c4fee75, 0xbf94fe26, 0x7a0c2a62, 0xa33c3ed2, 0xf9517f49,
+    0xf3e46507, 0xd1be0de0, 0x2038342e, 0x5c6eb6de, 0xf1eb72a4, 0x261fb1a2, 0x01fe4427, 0x4bc5a237,
+    0x9b4c11b2, 0xbeafbc02, 0x965a5d79, 0x8e4f4e26, 0x139d630f, 0x4924a881, 0x81544359, 0x133c1a30,
+    0x9c399d6a, 0x6bf1d6ec, 0x5a604dad, 0x48d5f154, 0x8aa621a7, 0x444d09b6, 0x5ad54d63, 0xc54547b8,
+    0x50c4e396, 0x187f8dbd, 0xe95533fd, 0x824eea87, 0x62857a88, 0xf7c220f4, 0x99757dc2, 0x0f6c9391,
+    0xc762d1da, 0x66426479, 0x8137de96, 0xb2277409, 0x3b4a8dec, 0x1b86d92e, 0xa25ad79e, 0xab7d7fd6,
+    0xb30c756a, 0xc2b49749, 0xda137fb9, 0xa2446ca0, 0x2e42d1a2, 0x77c5a54d, 0x693f9f41, 0x690557d9,
+    0x29e1d23c, 0xdffd4c7d, 0x4ca2aa5a, 0x64a8aab7, 0xc57748ae, 0x23d026cb, 0xa0b8a191, 0x716c6728,
+    0xc3f23568, 0x6010c7d4, 0xf51f7af9, 0xb11ef391, 0x35e07c17, 0x1c5484be, 0x317630b3, 0xa95b639a,
+    0x61bebb2e, 0x3f35a478, 0xffc437dd, 0x0bb03e23, 0xce173be8, 0x374c3279, 0x7c8b221d, 0xcde85479,
+    0xd49a1c82, 0x945d8460, 0x61d97ab4, 0x9709a8de, 0xa2bac6cf, 0xf4d7aa1b, 0x1afc3764, 0x74fdb273,
+    0x68616dd0, 0xac15e24a, 0x74c31120, 0x79964ebe, 0x409941cd, 0xbdf0728a, 0x053198f0, 0x921966ca,
+    0xae827730, 0x4cbeaabe, 0xe08acf9f, 0x805f8839, 0xd8895beb, 0x3259f001, 0xde846d70, 0x8b61cf3f,
+    0x4dc0afae, 0x7a6e65f1, 0x6512d8c4, 0x5d93692f, 0xa696f9f8, 0x32cad274, 0xdf15eeb6, 0x61f6a9bf,
+    0xbd317c81, 0x3017fa98, 0x2f5165b7, 0x8f85e9e4, 0xd4feb9cb, 0x28b9d3d2, 0xab7d7f13, 0x487ae356,
+    0xc7773133, 0xe1644808, 0xa4b2ad12, 0xca5cdfbf, 0x637883a6, 0x464c7cbe, 0x844487f8, 0x884e14d0,
+    0x10a695f7, 0xc20899d4, 0xf25b1404, 0xe27eedd2, 0xd1084b84, 0xb4e92fb6, 0xdedc3435, 0x18600687,
+    0xca119632, 0x26d159b4, 0xff1392b8, 0x21da0b70, 0x1d1d7bbd, 0x125d6a4c, 0xe070ecca, 0x01b24cf1,
+    0xd69d17e8, 0x35b27504, 0x1f9d6e69, 0x89c2c37d, 0x128c2d0b, 0xd7f395cb, 0xf115b936, 0xbfca7b07,
+    0x1398e749, 0xbf709b3a, 0x185fbd2e, 0x77a64047, 0x6eb4cbc8, 0x3bc8304a, 0xfe44e6be, 0xab42dbe4,
+    0x76e79f72, 0x870d6ed0, 0xc89e1a9c, 0xeefe07a0, 0x0d08425e, 0xd2bba637, 0x1bd3914d, 0x866b93dd,
+    0x2e99760a, 0x79ee8be1, 0x7107af95, 0x9d47c436, 0xda45a049, 0x1270ef4a, 0x11f611b4, 0x7834e698,
+    0x110b32a6, 0x19714bac, 0xfbb27f74, 0x364f1d8d, 0x578cb4f1, 0x8680b3b9, 0x6f38b574, 0x2b0557b6,
+    0xcaf7b197, 0xb7171f1f, 0x70ed15b0, 0x5acfb666, 0x73f36031, 0xa73e277c, 0x7407381e, 0xf2e06397,
+    0x5abd0239, 0x72cac35b, 0xa8fee944, 0xee8cf0f8, 0x39ab8e56, 0x3250476e, 0x251300f7, 0x03589f52,
+    0x6e8e1c3e, 0x36eb9b6c, 0xc8ca54d8, 0xbbeffad9, 0xcaf102c4, 0xfe8f5fc9, 0x192019c8, 0x2a901686,
+    0xd1980eb9, 0x75b4289d, 0xfbf25c29, 0x1d4e1d3f, 0x6c142eb8, 0x2357026f, 0xdfc95dcd, 0xdbee4545,
+    0xee18bf53, 0x5a38cf70, 0xe92a8a9e, 0xe9a2da85, 0xca4d9ad6, 0xedd27f53, 0x8d133229, 0xa844561d,
+    0x5a9c294d, 0x6a07bcd5, 0x134f17a4, 0x77966312, 0x85d0ea9c, 0xd08a710f, 0x94aee5a9, 0x4963fe5a,
+    0xdb2d6495, 0xbdad7e16, 0xf43cb5fd, 0x0bfecc78, 0xed1344ba, 0x69500de8, 0x28a87c54, 0xf80c72bb,
+    0xf6ea1d97, 0x4e0d5272, 0x01900939, 0x22a077ff, 0xd099bb03, 0x448e11da, 0xdc4c2075, 0x03e0858c,
+    0x9763e1bc, 0xc97f33dc, 0x3de3bae5, 0xafee0c32, 0xfd758441, 0xf02d68ed, 0x881c74c3, 0x0b585cbc,
+    0x2b236bed, 0x3b3034d3, 0x8a632eb1, 0xf2ffa30a, 0xbeb3bb4d, 0xaf1e72b3, 0xc6f10298, 0xcdd8321a,
+    0x08ddcbf0, 0xaacc616c, 0xf25124b8, 0x923f468d, 0x6e25651e, 0x5bde3b48, 0x6655468d, 0x1b674cfa,
+    0x1e63268d, 0x55088057, 0x1a99af1b, 0x7552a2f4, 0xb94b3169, 0x4250fc72, 0x3a49bc8a, 0x69990207,
+    0xef92fead, 0x59ce6bb2, 0x033a86f6, 0xf68b42a8, 0x830da8ad, 0xfce109a8, 0x417208a6, 0x71e91506,
+    0x04088f77, 0xba044e2a, 0xa72830c0, 0xfcf30bd4, 0xea4cd78c, 0x071a42d8, 0x84df47f8, 0x9f2e733e,
+    0x5d2041cf, 0xc2fdbac4, 0x1285a648, 0x4e6277a5, 0xe175efc9, 0x79722660, 0xa2b4d58e, 0x212e8346,
+    0x6e9e9eca, 0xd35af8c9, 0x3ea28e4c, 0x6578cde3, 0x861d4743, 0x1ea4d69b, 0x54779ad3, 0x63e7a9af,
+    0x60ea941d, 0xdf0dc1cb, 0x3f4ba489, 0x368e280e, 0x094f7418, 0x0813a9ec, 0x763f9016, 0xe94478a9,
+    0xfcde5f42, 0xb0d3c24a, 0xe64000c2, 0xc2ae308a, 0x37f56b5f, 0xe3faa1c5, 0xe1ca7f96, 0xe7013265,
+    0x41ba0131, 0xa2e1a0dd, 0x8f7a6fb2, 0x8e058c2a, 0x249b194d, 0x06eb0e28, 0xeb9fe791, 0x8f80e605,
+    0xc390a95c, 0x1e1ec25c, 0x08f337de, 0x87ead611, 0x4499a40d, 0xc0403c1c, 0xad7b5484, 0x22202a10,
+    0xf6913b19, 0x73eafd86, 0x632e6a83, 0x5f211318, 0x1f6f38b7, 0x0cb73b16, 0xb9deb00d, 0x8a3c2cfe,
+    0x2049f65e, 0xc0a9f7e7, 0x8511e00c, 0x6c775e8b, 0x64fb5385, 0x8e135fe4, 0x3f9d457b, 0xb8fa677d,
+    0x0b8e11c6, 0x109c65ef, 0x4a975e0d, 0x8357af7a, 0x006793e3, 0x4fc2b074, 0xe9e6fc8b, 0x88e5a5f1,
+    0x48446439, 0x27482c69, 0x87b89809, 0x2bc1ddcb, 0x85e50428, 0xbb63159c, 0xf127012d, 0x56865b76,
+    0xbd20398f, 0xdccccc83, 0xb29bd1e4, 0x907cd03f, 0xc8993eac, 0x28ad94f4, 0xe82e63ee, 0x4598b023,
+    0x39186db2, 0x9913ff0b, 0xf4d4d4b0, 0xae3f4a51, 0x2a133771, 0x478f0ed2, 0x96a5c01a, 0x9c4d0269,
+    0xf4e60a74, 0x4c5087da, 0xc5d832cc, 0xac300445, 0x06696450, 0x6f409bfa, 0x901872e7, 0x38d71d13,
+    0xcce35b04, 0xb5043191, 0xea6b5048, 0x21f6c40c, 0x0f58b32c, 0x8ab372c9, 0x2f65759e, 0x028b386b,
+    0x6f148ba3, 0x27770ca8, 0x547c9c75, 0xb2f96b3f, 0xed402b21, 0xe8bee86c, 0x567e766c, 0xf3c851c5,
+    0x0f408428, 0x90412ecc, 0x2040a5c9, 0x6453cc9f, 0xecdbf5e3, 0x33b57d6e, 0x4d2aabff, 0x79165635,
+    0x961e6167, 0xd7e48d09, 0x4e8892ee, 0xbd103904, 0xe6052284, 0x2316627e, 0x83db44c3, 0x63fa8013,
+    0xe55c7fb7, 0x2e7633ae, 0x31441fae, 0xf8509f03, 0x6d0f7303, 0xb2d0639e, 0x7cabbfc0, 0xf3f80154,
+    0xcd935a0f, 0x80bc3ee2, 0x923001f1, 0xfc47a32f, 0x8d9832d1, 0xbd00bbcb, 0x43614fec, 0xe6f644b2,
+    0x2ed54202, 0x0b781d93, 0x94da6295, 0x65b9bcff, 0x27fef9f8, 0x82b520cf, 0x24276feb, 0x891af0fc,
+    0x46cf8c4f, 0x83f8cee2, 0x3192f337, 0x7b4f9ed2, 0xd3edf668, 0x6cd9e504, 0x4ac8330e, 0xf3d38dd9,
+    0x91b14a28, 0xe14a65e3, 0xfd729fba, 0x9bbece1c, 0x85174595, 0x45b46d53, 0x9135fae9, 0x7e265368,
+    0xe5402364, 0xca73c5f2, 0x9f834b8b, 0x3cab883e, 0xf1b17bab, 0x298bc680, 0x1e4fec13, 0x9def60ca,
+    0x5ca03c2e, 0x67dc90ca, 0xf5db0d3e, 0x6e17d8b5, 0x1464b87c, 0x093cf923, 0xce5d195e, 0xa3766172,
+    0x83768897, 0x98e208b1, 0xc6b9e36c, 0x1289634a, 0x9b7988dc, 0x7a1e9752, 0x6d068060, 0x06987403,
+    0x26640db5, 0x158fbc28, 0x224e9f16, 0xdf071140, 0xe9572136, 0x83f12188, 0x80f8b396, 0x05d040d3,
+    0x338ace1d, 0xf7f4413c, 0xecb293dc, 0xbb40b6a0, 0x3d15767e, 0xdb8b93c4, 0xa93e306a, 0xeb7a4f5c,
+    0x6ae1b441, 0xf8684bf4, 0xb0645a77, 0x6207cbba, 0xffa93615, 0x5f858de8, 0xc87dfa32, 0xdcb60f27,
+    0x0435955c, 0xad625ca9, 0xbdc493b4, 0x953c3069, 0xa108a006, 0x9d780082, 0xf625d063, 0x3307bb6d,
+    0x4dfc595e, 0xb2c6a7a0, 0x751d4dc8, 0xc1805b71, 0x08e35cb9, 0x65046c50, 0xde94b905, 0x9e0307c7,
+    0x2cf46aae, 0x450498ba, 0xcd9d4441, 0x2d318605, 0xe0b66cf9, 0x5a8e1f66, 0xffc23d62, 0x47ebe6ef,
+    0x3d9b475b, 0xf0647caa, 0xef01bc1a, 0x753d829f, 0x9ebd921e, 0xf10cdd03, 0x206e0ee0, 0x85bc7b3f,
+    0xcf762441, 0x18d003d1, 0xf84d7d03, 0xb32f670f, 0xe7a5f90a, 0xb4a26eee, 0x2976e844, 0xd9c4c76c,
+    0x1467489d, 0x2c2cc1d0, 0xec665654, 0x7e9333b8, 0xeeb628eb, 0x2e1f0fc6, 0x70e58f25, 0x4152329a,
+    0x9b6e0361, 0x1a701c61, 0xcf1126a3, 0xb2d59f43, 0x408cf617, 0xf5a51cfb, 0x2a93728b, 0x6935d25e,
+    0x7ef089b6, 0xfa1b3629, 0x67b24cfc, 0xe176f4b9, 0x05ff30f4, 0xf677d7e0, 0xc01cc31f, 0x93224a53,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000034359738368 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000000d, 0x49a784bb,
+    0x00000000,
+    0xe1d9baeb, 0x60a71fc4, 0xa02a2cd2, 0xdb5b621f, 0x402a36e7, 0xc3aba9c8, 0x9f64f70c, 0x03a2a10a,
+    0xb4a19b91, 0x61eb0265, 0xae1f9744, 0xc98edb4a, 0xe2ecab08, 0x62d71d05, 0x1529a348, 0x7842cf52,
+    0x1d16500b, 0xbb6a37eb, 0x83d73932, 0x5cc78c3e, 0xc184aa9d, 0x28bc4485, 0xfe7493f4, 0x75210a55,
+    0x5ba0632b, 0xc392d617, 0x49b58b93, 0x147e7ff9, 0x717e431c, 0xfe37cf20, 0x329cadd3, 0xbb9c5b72,
+    0x8f62dead, 0x57913e71, 0xcb1f9227, 0x459bd05a, 0x1c7bde9c, 0x90f5a285, 0xcf1aa70a, 0xb738b768,
+    0x1433e7ac, 0x572ad0f9, 0x3e7126e2, 0xf6c1a864, 0x69eb1983, 0x90b198c7, 0x2e2c6dcc, 0xd872a653,
+    0xeb7250f7, 0x03e9edc2, 0xc262fe71, 0x9e76c907, 0xaab37b60, 0x38cb1401, 0x68fe8b00, 0x2fc1eebf,
+    0x6fadbaaf, 0x34f593ac, 0x62a8976e, 0xd695ada7, 0x024de3f5, 0xa78cd3e8, 0x000c8187, 0x90ad5be1,
+    0xaecf308b, 0x7b6f4aaa, 0x6c350da4, 0xc31a4836, 0x8e914374, 0x2313da4a, 0x6b43c94f, 0x1eb96518,
+    0xf4839e68, 0x2f01f8b8, 0x685c20a4, 0xe1a9cfeb, 0x223a6121, 0xd668550b, 0x48341a41, 0xcd0c4d4b,
+    0xe815584d, 0xf8833004, 0x1e22a128, 0x3e745fc7, 0x07155c04, 0x74b41fbe, 0x1eb84fb5, 0xd0fb1803,
+    0xc2ee0f99, 0xf59248c2, 0x7e913015, 0xbf6d45cb, 0x546d98f3, 0xf9e2711a, 0x9b78db7e, 0x555f1f6a,
+    0xc7e53854, 0x62ffb240, 0xe6f34ad1, 0x7315d479, 0x54c53ab1, 0x491eea6b, 0xcc5c5495, 0x59c68bd6,
+    0x3cf634d2, 0xe1c597cb, 0xc2dd92bb, 0x3e34b7ec, 0xf2d93e0e, 0xa91c37a0, 0x7df1a860, 0x10224210,
+    0x58584547, 0x1f468378, 0x313fb97d, 0xc0241ac9, 0xe4a4bd73, 0x2ddf25fd, 0x290feb31, 0xa54ba1fa,
+    0x078ede75, 0x1eb8a2e0, 0xc15d385e, 0x92f3055a, 0x297f21fd, 0xf85816ac, 0x23f50611, 0xc771bd49,
+    0x2609fd3a, 0xe4c2e704, 0x826ecb6b, 0x7565167b, 0x318ebb67, 0x6f7b0e50, 0xf621be1f, 0xaa080e1d,
+    0x8bfc5028, 0xece5b61f, 0xd78fe35d, 0x78533741, 0x56082221, 0x99a86a62, 0xa9ee5002, 0xb5365b58,
+    0x42d074ea, 0x8bea26a0, 0x0228d59b, 0x39540129, 0x1005af51, 0xc8e79594, 0xd7fe2d0c, 0xd9d4aa58,
+    0x3ad4665a, 0x7fc824e8, 0x84a31bfb, 0x30b242ac, 0x6186e16b, 0x6807fc3c, 0x2be93526, 0xc8304115,
+    0xb5f59efa, 0xc8e172fc, 0x66cafe7c, 0x9abd684e, 0x0008e96b, 0x70179a9d, 0x973918aa, 0x9845a67f,
+    0x33a4b9cd, 0xd05ff633, 0x080f027a, 0xd68fe5fc, 0x5a7a3720, 0x9ec93415, 0xb04a6117, 0xfc1258bf,
+    0xfe3f2886, 0x37a48888, 0xf73a4e62, 0x906a940d, 0x73e8dee3, 0xbc29e1b5, 0x6e32d560, 0xfc7242a1,
+    0x23fc9cae, 0x008f4386, 0x0f9cca25, 0x73f2290d, 0x81bde78d, 0xc506e0d0, 0xc19a3027, 0x243acb16,
+    0x018324ed, 0x029de9d8, 0x0b143906, 0x77bfe44e, 0xff7d3339, 0x89a1e6f0, 0xb5cf9914, 0x4b262d76,
+    0x043c789a, 0xc9a90959, 0x4480ef7c, 0xa53c9572, 0x857eb7b9, 0xf5ea0224, 0x8b85671f, 0xd7c12658,
+    0xf290382b, 0xe1aada63, 0x33feab9d, 0x94a1f232, 0x6effa4d6, 0xda55060f, 0x1486efb2, 0x97c63612,
+    0xe05eec63, 0xee1dd990, 0xc24cb7a8, 0x950500ca, 0xec2b6a51, 0x701b2f9b, 0x1e49c754, 0x1dae3430,
+    0x675ad75f, 0x49485829, 0xdc5bce1b, 0x095928e3, 0x058e54e8, 0x22570ac4, 0x2c6d51fd, 0x56113a0c,
+    0x4bb99a60, 0x2de219ce, 0x5b7dd2cf, 0x66d7fe53, 0xd33d39f9, 0xf898ac6a, 0xd531b546, 0x58fbe942,
+    0x7ba06525, 0x7eea5cfa, 0xaf76cdb4, 0x12505904, 0xb204a295, 0xf3a791b4, 0xaab8bbae, 0x7c764bdd,
+    0xda5cc05d, 0x5224873c, 0xd1e8887c, 0x7168a805, 0x5e74a84b, 0x8ea2e5ec, 0x5707a12e, 0x0e698ab1,
+    0xccaecb4c, 0xc04e224b, 0x082b0617, 0x36b0e37e, 0xada79098, 0xc71c4b17, 0x8ae545b4, 0x24c384bb,
+    0xbc08caf7, 0xb8e561c0, 0x8d960f54, 0xc5497548, 0x1f938ab3, 0x01d1a0e7, 0xbf3f8383, 0x7fd070b7,
+    0x26329c6f, 0x90387f6e, 0x89d6d1f0, 0xa32fc3d8, 0x9300479f, 0x247001bd, 0x3643e229, 0x3f5cb821,
+    0x58452948, 0xa6d5203b, 0x605dedc7, 0x830ec8d7, 0x9a82b7fa, 0xb1acd140, 0x58fe726b, 0x801c89b6,
+    0xf6c9a5f4, 0x9e9cd201, 0xab26afda, 0x97c49fca, 0xf48a2fd1, 0x834cd69c, 0x94a46c5d, 0x872ea84d,
+    0x4fc3dedf, 0x5184ac15, 0x0f9fca64, 0x53d7149e, 0x7ec45095, 0x9e368505, 0x0c608d18, 0x992143ac,
+    0x20269113, 0xbf2036af, 0x8a5f73bb, 0xb5857f8b, 0x1eb5d549, 0x404fc829, 0xbf0a048d, 0x42d92ac0,
+    0x9b28961a, 0x395ba624, 0x1d786498, 0xaa26ee68, 0x655f8e8c, 0x58736443, 0x4856ac98, 0xec3e31a4,
+    0xa4075c6f, 0x28be2434, 0x70dd3502, 0x46021a25, 0x31c16da5, 0x4340e530, 0x569ec1a5, 0x0dfe942c,
+    0xdff4375d, 0xd49f915b, 0x804278c8, 0xec556c26, 0x165e9c8b, 0x2151442e, 0xe1ce3b2c, 0x28ce1d56,
+    0xcf9f7f74, 0x8f706c32, 0xbe4bbdf9, 0xceebc23f, 0xd044ae95, 0x3d31a6b5, 0xed94d712, 0xb3aa22ba,
+    0x7dad644d, 0x418647e5, 0x2b1b5aeb, 0x3d56ac0e, 0x26bef57f, 0x2f1ff627, 0x1ce9a4d7, 0x4ffe0647,
+    0xcd1809c4, 0xb000c17d, 0xa850ef99, 0x46f8905a, 0xd315b235, 0x01e0bf52, 0xc44ae14c, 0xc2e60a84,
+    0xe938d406, 0x218cc7ee, 0xe0d42f75, 0xba94b439, 0x8d3e801b, 0xbf639199, 0x732e6abc, 0x651476af,
+    0xfb213354, 0xbf6c7fe1, 0xba4a3d44, 0x0e502d1f, 0xdd58c6d4, 0xca7904e8, 0xaba2c9f9, 0x39ef1d5b,
+    0x706b0393, 0x04371aa8, 0xa568926e, 0x02722865, 0x36afb46c, 0xc1550715, 0xe4f554d6, 0xcf244f4b,
+    0x6ff8a489, 0xc5075b28, 0xac37658c, 0xad66b5c2, 0xb190dad8, 0x6daf24db, 0x7d3070f4, 0x14ebaccc,
+    0x8226d0cc, 0x4b9ecf8a, 0xd12ef082, 0xf547c7d0, 0xeeb1abeb, 0x3e8afd03, 0x186d9cee, 0xec5d17f2,
+    0x9d167f8d, 0x29e8f318, 0xf49c9b27, 0xdfb7fd24, 0xfad34b86, 0x1b616691, 0xbeb58eff, 0x780eaedf,
+    0xf3f07fb4, 0x4a97332d, 0x6cd27d8f, 0xaf563f1b, 0x7bda27a8, 0xcbc9abfe, 0xa3043f59, 0xcf7e9589,
+    0x5eec9200, 0x8553f6e6, 0x131cb4dd, 0xbad3de31, 0xa1b25894, 0xb77357df, 0x6246287a, 0x0f2a621c,
+    0x640945bf, 0xcd77137d, 0xf6eb6701, 0x203457cf, 0xf7f89672, 0xde71c9d4, 0x5ec12419, 0x5aee3993,
+    0x51908642, 0x57e96b5a, 0x1a60cabf, 0x2b5adca2, 0x1e5c4d24, 0xe9505e76, 0x441ddecb, 0xb0424d16,
+    0x14df1d24, 0xa9f2cfdd, 0x9c9fabe4, 0x2a49e118, 0x7fca0525, 0x56826e03, 0xd23cb6c7, 0xfad96899,
+    0x979f5321, 0xef2afaf8, 0x1836031c, 0x166358cb, 0x9116eae8, 0x55dcd2d0, 0xff68b799, 0x3913a0c6,
+    0xc164c115, 0x48354862, 0xdb47b0bf, 0x8650736a, 0xf7b2a26d, 0x92635c62, 0xb2cda90c, 0x1a3e182a,
+    0x1fd3bb56, 0xd59a3070, 0x8d660e3f, 0xba311858, 0x798e9fd5, 0x4a60a204, 0xa9091f46, 0x615a06b7,
+    0x85143555, 0x2034ec9b, 0x8b7accd7, 0xb5e65038, 0xdc7c5bf8, 0x1b74deb5, 0x3fe46b40, 0xcd6a0517,
+    0xf1f8b68a, 0xd855e308, 0x7005245e, 0x26ff8ba9, 0xcdc40de0, 0x078ef277, 0xe5ea1c61, 0x5c87a07f,
+    0xb7304f0a, 0xf2cfb119, 0x652a172a, 0x87ddcf95, 0xea1ae07d, 0x71928fc5, 0x070726f3, 0x0bbff42b,
+    0x0ff781c7, 0xab56e8e4, 0x32d5cf60, 0x27e282e6, 0xd7174234, 0x310b3996, 0x38f61f9c, 0x6372b0c2,
+    0x78e7b306, 0x0c2b75a9, 0x6e270035, 0x2637e276, 0x9d3c9f6b, 0x7cab6913, 0xe6cf7425, 0x23f9b4ae,
+    0x1b34cbb7, 0x700a29ff, 0xc84e103f, 0x671a8c0c, 0xd66b9753, 0xae842ad7, 0xa3d52c07, 0x3abaae01,
+    0x6085eaf0, 0x9e36c9c9, 0x8d73b109, 0x8fa472b0, 0x54e9419a, 0x9593f733, 0x46b9158e, 0x61690340,
+    0xc65737b2, 0x133de806, 0x4407d45d, 0xbd3177f5, 0x1d6cedeb, 0x5b0834a9, 0x485400b8, 0x4e421b30,
+    0x7f54a340, 0xd8f2ecd7, 0x90430462, 0x877a910d, 0xa12ae050, 0xb3dd078a, 0xf7b0e397, 0x44560b1b,
+    0x5b9d4b21, 0xcf3a1041, 0x03b3f3af, 0xa862a63a, 0x61cdc8ba, 0x534a9150, 0xb1c4022a, 0xdcd17d4a,
+    0x62457d3f, 0x0e4c54c1, 0xdf4515fc, 0xec0b53d2, 0x07f1dbfc, 0x1bb81851, 0x651c42d2, 0x08fd07ee,
+    0xa9da09f2, 0x406442a8, 0x938beacc, 0xcb0a1fb4, 0xd09eaf8c, 0x2ee18fc2, 0xd6b0412e, 0xa1a8adeb,
+    0xa97b6d1f, 0x1828ef18, 0xb563dc3d, 0x53c84993, 0x8e9358de, 0x8b5164f7, 0x11595ba4, 0x72c0eed5,
+    0x69d1b726, 0x2c1c6d25, 0xbaae841f, 0x43ff9e08, 0x2e029e4c, 0x7a5aa3a7, 0xcef80162, 0x3f31ef2c,
+    0x956b2e62, 0x47ebbe2f, 0xcf9c2e13, 0x0df75528, 0xcc9c72ea, 0xc4c934a6, 0x75239747, 0x126233eb,
+    0x88149301, 0x18a38d23, 0x6e5c7465, 0xffda3d0d, 0xcb43caa6, 0xb3765875, 0x6d28d3d1, 0x0f5d5de5,
+    0x1c7fc3f1, 0x3f99f976, 0x4cbcefbc, 0x7be1b286, 0xe6d88a32, 0xeda4d749, 0x484ef403, 0x8c8ac37a,
+    0x11e2d549, 0x3969e42d, 0xab97f2e7, 0x7967a241, 0xc5bf459c, 0xe4dc0e62, 0x26c29f62, 0xf2717419,
+    0xe769f427, 0xfef85538, 0xc4ade72e, 0x37bd2b0f, 0x12123034, 0xa6e8d91e, 0x04d2de52, 0xd6243905,
+    0xc8c42610, 0x5b2a944c, 0xf10f5edb, 0x23686f72, 0x182989f5, 0x29de970b, 0xdcf00a8d, 0x8e69b0ca,
+    0x313ffa39, 0x028e9c48, 0x5ff02df2, 0x46d3372e, 0xa1786a66, 0xde2b7a5a, 0xce9a30d8, 0x87bed6cf,
+    0x3ac4225c, 0x4cee773e, 0x528693d8, 0x5d7004b2, 0x82dc5fb1, 0x24440d5d, 0xc72a5a87, 0x6e1b9c3e,
+    0x934270a7, 0xc49322a2, 0x561847ef, 0x00e7867e, 0x12fb836a, 0x2e4bc46a, 0xd0487286, 0x7a0d68db,
+    0x64056a09, 0xfbafa460, 0xe3f53171, 0x6b4c6817, 0x5995c622, 0xc9f8c174, 0xd6fe2de2, 0x20d09a01,
+    0x36f173ee, 0x7f70a48a, 0xd0f71774, 0x9e14500e, 0x3232dfcf, 0xdaba58ec, 0xf2ef9c50, 0x292e5318,
+    0xfe784eb8, 0x253e3c24, 0xe2bfaaab, 0xe3ce1d0d, 0x14d36f85, 0xe9b8e88f, 0xf5a5861f, 0x74493686,
+    0x41a4c967, 0x21ad4130, 0x1ef1e0d4, 0x37c67120, 0x9d157399, 0xaca5aa44, 0xa83c0774, 0xe3113ea2,
+    0x535dd470, 0xea1f02b3, 0x4442481e, 0xea19d926, 0xd4855e3d, 0x8854254a, 0x04ded7fd, 0x1f866e05,
+    0x25aee402, 0x8e260435, 0xbcba0b91, 0x7066f9b0, 0x41d87e18, 0x826a7701, 0x41fa339b, 0x670d7e2e,
+    0x906e17d2, 0x12c6bec4, 0x27efa2c5, 0x4c2e38c8, 0xc4e9c584, 0xfa9fd071, 0x7414e19a, 0x9e9b8109,
+    0x7fc9c8b4, 0x916b5bde, 0xd4f1339f, 0xf1197fe2, 0x4b318c1e, 0xb99c0dde, 0xccd1b3e5, 0xaf0c64c8,
+    0x127d670e, 0x95f9c39d, 0x6141badc, 0x80a314df, 0x71d529eb, 0x638f66f2, 0x03d8ef7b, 0xdaa189c0,
+    0xa9ad34fe, 0xc7f9726f, 0x199c8a10, 0xe14190d2, 0x31e44883, 0x96df2c3e, 0x9ae538dc, 0x120d7864,
+    0x8ed5a4b8, 0x1afa1328, 0x51495916, 0xf5848f57, 0x8a2ba66c, 0x9207919b, 0x9f6d0827, 0x6243009f,
+    0xf5e77264, 0x93f05802, 0x376c0d4a, 0xc1b0ca4c, 0x3005c89f, 0x24c2f566, 0x5751941c, 0x4b954b1b,
+    0xcb9953f0, 0xb42e336a, 0xef136d89, 0x0aa4eeda, 0x46f46ef3, 0x1554d356, 0x952b2c85, 0x99ce225c,
+    0x5e099f88, 0xa8e0a675, 0x11dd81cd, 0x1c8ce8da, 0xe5cb6d4f, 0x3ef943a8, 0xbc7744e3, 0x3899910f,
+    0xc3f9e851, 0x8fb6c415, 0x0fc1c0d6, 0x063966fb, 0x2d03b554, 0x248f543e, 0x858e3b17, 0xec1a0a1d,
+    0xbf3adae9, 0xaa9d1731, 0xb563d1fa, 0x4dcd2ab6, 0x6b29c221, 0x07b89144, 0xe3de8a34, 0x035d4f78,
+    0x505631e7, 0x2fdc483c, 0x8a4b88c6, 0x3426b702, 0x39f3a75f, 0x4c54ed51, 0xa1699039, 0x68bb9ae2,
+    0xac834fb0, 0xd4b66695, 0xcfd234ed, 0x9bf6cef3, 0xe7dea0da, 0x7e281769, 0x5236bd5c, 0xda169ad0,
+    0x387f4730, 0x69c789d4, 0xdb639603, 0x4d9b8820, 0x871d8daf, 0x1bbda8a6, 0xabf97155, 0xbb0e5b22,
+    0xd30463c7, 0xf061f6f7, 0xc3d8d568, 0x1b50d536, 0xe14569c5, 0x7b898414, 0x539ce816, 0xf8fa09e9,
+    0xd2105ded, 0xba5267ad, 0x304fb34f, 0x7e31a41c, 0x3ee157a7, 0xe57fdddb, 0xc1ebe462, 0x392a238a,
+    0x5ae6b016, 0x16a0f822, 0x1a526803, 0x7fb4fb62, 0x74e86381, 0x6315ea44, 0xb586fd06, 0x3273d2d5,
+    0x9939ee22, 0xab600395, 0xfd1beb3b, 0x6e4df7ad, 0x05dcffb2, 0x894ed41a, 0x10437875, 0x00a4922d,
+    0x5e17fc16, 0x1396667c, 0x8d06be05, 0x104adc47, 0xef05f76d, 0x37d356be, 0xf441963a, 0x78e6135e,
+    0x313f555d, 0xf38b18b3, 0xec96f45b, 0x9f82a97e, 0x3b8b6c56, 0x00318378, 0xd637a883, 0x1fe45270,
+    0x85fecdf9, 0x9992b813, 0xa9f8fd81, 0xad8b7ed0, 0x229d4bf3, 0xb5c998a8, 0x9e13a6e2, 0xde85fa6e,
+    0x81bf1e55, 0xbc97a0ff, 0x4e4c2489, 0x68a1248c, 0x855020dd, 0x4458d471, 0x12153f5b, 0x9d672364,
+    0xeb70ab0f, 0xfbb747d2, 0x3990766e, 0x044da693, 0xf7e64d07, 0x9b86c3bb, 0xceb3326d, 0x15cb9025,
+    0x46f0f792, 0x8ac73015, 0x551e11f6, 0x3fa5c227, 0x451d683b, 0x86232b0e, 0x52075ae3, 0xadc19860,
+    0x138b2bdf, 0xab7d7974, 0x9622b12b, 0x1564beef, 0x82a58b7b, 0x6194c454, 0x162c558c, 0x6e1bdd6c,
+    0x6f023685, 0x7375636b, 0x6ad7882f, 0x512890e3, 0x562a5c7e, 0x255c9013, 0xd4a41ddb, 0xceb8ae38,
+    0x7e711deb, 0x1751e58f, 0x969f53c6, 0x264a5b84, 0x94090e34, 0xc01c6772, 0xbd5f6bcc, 0x5e551ede,
+    0x397d9cae, 0xbd19f9d3, 0x2a10683b, 0xa51913c0, 0xc843b136, 0x143dc1f1, 0x64fa3c03, 0xe5787f54,
+    0x097e2207, 0xca529f2a, 0xbaa8bac8, 0x5062b542, 0xbb8f27ab, 0x8ece8bd8, 0x4ab022fd, 0x6ee74b63,
+    0x71f97273, 0x1f1051e4, 0xac73c90c, 0x5e621217, 0xd28cdbcc, 0x26ae33b3, 0xfbc23000, 0xbad166f8,
+    0x28f177a2, 0xd31cb138, 0x73b390a3, 0x12264abc, 0xd2000d2d, 0x2772cd75, 0xd8a45862, 0x3dc104eb,
+    0xf596565a, 0x02e23c0d, 0xf3c1828a, 0x088f5a74, 0x7925fcd4, 0xffd43e04, 0x837660e9, 0xf97e7696,
+    0x3cf19e3a, 0x6a306120, 0xe8df4184, 0x5459f01f, 0xd678e92a, 0x71935cf9, 0x4e1a6833, 0x491c0425,
+    0xcbac7ba3, 0xeab298dd, 0x45ff436b, 0xc79c0d75, 0x82086079, 0x808421ff, 0xa24e735b, 0x17947121,
+    0x252c0892, 0x5ff6fa97, 0xf0355116, 0x70e59340, 0x7ab53c68, 0x75e5506b, 0x845b97a2, 0x94dd413b,
+    0xed1c7c11, 0xf5affe4c, 0xc9f15229, 0x5a4df475, 0xb0165dfa, 0x0c1371cb, 0x977c7739, 0x6a1bca50,
+    0x76d649a2, 0xd9d49b33, 0x7948d2dc, 0x5f43dac8, 0x11cc0e9c, 0x3c821682, 0xe8048f2f, 0xa3d08997,
+    0x395002ad, 0x41aea571, 0x618c7e58, 0x2b20156c, 0x5d3c6819, 0x656a02e0, 0xbe73f5fc, 0x6c819a31,
+    0xba89f368, 0xc95a163e, 0x9514005d, 0xf12ffcb2, 0xc7430327, 0x633e50e1, 0x6ca5b68d, 0x95ae2eac,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000017179869184 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000006, 0xa4d3c25d,
+    0x00000000,
+    0xaa06aca3, 0x7eacd0ac, 0xfd99edf7, 0xcfdee79e, 0xd0aec950, 0x40b6f2e2, 0x37cba19f, 0x3dcd3f8f,
+    0x53cb087a, 0xe5b71fc1, 0xe675fac7, 0x806d1d26, 0x7369cb02, 0x3324bd86, 0x5cd6190e, 0x28acee47,
+    0xd52a0a3c, 0x566e5fdd, 0x4dbcbb56, 0x3ffb45af, 0xfef86a99, 0x83fa2bc2, 0x79696812, 0x0f7dc8ad,
+    0xf69a7cdc, 0xc809f6f9, 0x16a0eccb, 0x2c280274, 0xe68fd88d, 0x43de0eea, 0x94ecc83e, 0xe72b2bd3,
+    0x4181b705, 0xebb833d0, 0xcc9b9ee6, 0xafb923b8, 0x1bf610b5, 0xb293c780, 0xa934f933, 0x269e966a,
+    0x1b0d504c, 0x982049a3, 0xaffe8de0, 0x5db0a129, 0xcde362e5, 0x76768bce, 0x345158cd, 0x093086bf,
+    0x0a640786, 0xd297f0f6, 0xe9af1f97, 0xdc67cbda, 0x87bdf835, 0xbd0b2c05, 0xacf8e214, 0x20bc5530,
+    0x90a926da, 0x3bb0221b, 0x7738d56c, 0xab3f5548, 0x9c37b779, 0x4c5938d7, 0x62d5ab03, 0x13b360d3,
+    0xf12b75ea, 0xcc928246, 0xfecb2958, 0xfe7f0b94, 0x3be98a5f, 0xf4f3de81, 0xe66186ae, 0x003a972a,
+    0xdf9a6590, 0x176a7cb5, 0xc2104ecf, 0xb0e19a02, 0xb3845578, 0x4f4ced3c, 0xc570c872, 0xd1b3f7c3,
+    0x56aa8e72, 0x782c3802, 0x1d5a9c0b, 0x321a3705, 0xc875e29f, 0xb826feba, 0x0be4d6d1, 0x758f791c,
+    0xd7dc5f31, 0xfa852b76, 0x52e236df, 0xb86a4588, 0x6772fbd7, 0x4f1405c7, 0x39831130, 0x3f024f25,
+    0x392f393a, 0x44bddda7, 0x562e3274, 0x7f929d88, 0xcdc0545b, 0x5de4f54a, 0xeb75b026, 0xbc30c882,
+    0xbeeab9be, 0x40589e80, 0x83d634a0, 0xcd06a3d6, 0xdce417a0, 0x2aeca714, 0x3af122ff, 0xf2e1735f,
+    0x9f533c28, 0x7b6c0fbe, 0x1fca3de1, 0x0d8a0748, 0xde785162, 0x9c168639, 0x89dc59a1, 0xb398ffb6,
+    0x0a25bafb, 0x854b34de, 0x42604034, 0x3d350549, 0x0157e94a, 0x15d125e3, 0x61e1d70d, 0x41d7fe45,
+    0x5e239743, 0x1a75256b, 0xa108950c, 0xf2bd7ac7, 0xb9572c24, 0x4fa28093, 0x80737871, 0x5aab6530,
+    0x594f43bf, 0x60aac7c8, 0xb78e1392, 0x90e1e037, 0xc0ce861d, 0xec7ca662, 0x3b36aba4, 0x0aafa0d9,
+    0x453dbbd6, 0xd45eddd8, 0x3d8d30ba, 0xb7ee5d8a, 0x20af04fd, 0x0f44ac8f, 0x3aa6521e, 0xb2079b3e,
+    0x9edbc74c, 0x5bdff23b, 0x00d02337, 0xa598c890, 0xbc21a1c5, 0x43a65f2f, 0x81ab33c4, 0x7d112660,
+    0xc1211d8f, 0x2c45c6a9, 0x3b7935e3, 0x5dd879be, 0x201a6f27, 0x106f7fce, 0xc297eaa6, 0xc2c33f92,
+    0x67074a45, 0x59d72299, 0x99e6d1b3, 0xb14ae2fd, 0x4934c7da, 0x86564a18, 0x3ddae12e, 0xfbc75650,
+    0xf84ce75a, 0xf8a93e83, 0x725e25b5, 0x9c3efaa8, 0xb8384d8b, 0x8c006ca9, 0x68ee3009, 0xc2baef24,
+    0xfa562026, 0x8a1bb59e, 0xaaeeb50d, 0x6d6daa88, 0x38e429ad, 0x74437494, 0x966fa21d, 0x9a71eaab,
+    0x4c195a48, 0x8602666d, 0x47fd46eb, 0x6e6391f3, 0x55b16ab7, 0xb463e285, 0xbe2630ff, 0x7f3a0091,
+    0x1d9ef086, 0x271e87a2, 0xe71323b8, 0x4de82601, 0xfa977694, 0x98874a7b, 0x154bfb88, 0x38472c8a,
+    0x077e48ba, 0xfaad2508, 0x00c40168, 0x08bb60a4, 0x65e8bf86, 0xdc9a6638, 0x9deed97c, 0xbe7aaf48,
+    0x118c39c1, 0x135e2d69, 0xc4002cc0, 0x69e75220, 0xa56ab063, 0x9e17f4ca, 0x648147f0, 0xa38d56db,
+    0xbfba9348, 0xb7ffec7c, 0x9f4040cb, 0xc72dd566, 0xae43b232, 0x16c025b5, 0xe95ef9f8, 0x564e4bd8,
+    0x85e1082f, 0xac5edb96, 0x67c1ab2f, 0xdbd17ecd, 0x5a7884a9, 0x31860dea, 0x45eda28f, 0xeebe9a39,
+    0x7b38f71d, 0x10b21dfd, 0xa538eff7, 0xae0a82f3, 0xbcea9d55, 0x8b51d86c, 0xbecb1a0a, 0x6487d879,
+    0x75aaf0d0, 0x849c5743, 0xa28c5e15, 0x875c66e9, 0xc936bb41, 0x14294d2d, 0xc822b99e, 0xc20379a8,
+    0x24dab763, 0x91657ef9, 0x0c82ae6d, 0x1e3e7cdc, 0xfee88bec, 0xcc704bec, 0xa30425c9, 0x858097f4,
+    0xc363deb1, 0xd217995b, 0x68ab3904, 0xfce79508, 0x91ceb47b, 0x7db3a21c, 0xb22ce813, 0xd9f19835,
+    0xa1fb96d9, 0x7a939e01, 0xb685fd87, 0x75d20625, 0x38c1f518, 0x2eaa5cf8, 0x96999118, 0x246347ef,
+    0x7fd3e096, 0x8f5e66a2, 0x34d959f1, 0x74e93ce6, 0x035aa32b, 0xb9aeb400, 0x98838eb8, 0xdfae60c0,
+    0x4c9cde84, 0xb5e6d7e6, 0x96e1c373, 0x48cff8bb, 0xc85fb99f, 0x241acec5, 0x30b38b43, 0x85b0bec4,
+    0x1599c8d4, 0x810b2ec0, 0xd82e36c3, 0xf314a910, 0xba7081c4, 0x2d39373a, 0x65836454, 0x1602ad28,
+    0x049d6f5d, 0xcd0c93ca, 0xef8b1577, 0x4974dbfa, 0xf6c1d000, 0xdc878512, 0x55b5df62, 0x92382463,
+    0xf0c8f5f0, 0x543498ed, 0x95d6d017, 0x1b22d2c9, 0xd88af7cb, 0xc8b052a5, 0xf348d952, 0x30a4edfa,
+    0x5f798823, 0x3be2a431, 0x5d10acde, 0xf9680621, 0x407efc11, 0x126b5a5f, 0x0261aa54, 0xb6a67190,
+    0x551ce00a, 0xf7beea88, 0x140ab6f2, 0x6d8ee705, 0xc95fd8b3, 0x00f79378, 0xbe84fc45, 0xe4704a80,
+    0xf38f4696, 0xb8d0a5c3, 0x482d2391, 0xe793f0b0, 0x8e4ac19b, 0x0a7dcede, 0x40ceeed0, 0xdb63589b,
+    0x6486d9f1, 0x9deb375d, 0x9450b66f, 0x1de00928, 0x637fd402, 0x7909b465, 0x4d7729d7, 0x1be2df8a,
+    0x80df090e, 0x56a1d3eb, 0xdcea8e79, 0xdf8f249b, 0xc500eeff, 0x6b0be33f, 0x23fabf54, 0x2188a8a3,
+    0x904cadb1, 0x49346372, 0xf7b5f79f, 0x70f20c7e, 0xe71b0112, 0xa7165cf9, 0x58e029e9, 0x1ab8d5fc,
+    0x0541babf, 0x0beaae56, 0xcbd47046, 0x647daa95, 0x26222904, 0x21a12a5c, 0x58bca1b4, 0xca3d6665,
+    0xee80c7bb, 0x0506fbcc, 0xdba65dbd, 0x91ae5c17, 0x595c70b0, 0xc2d4c482, 0xa27db705, 0x5b00d381,
+    0x6d9245dd, 0xcc426149, 0x1b320201, 0x59aa122f, 0xf5076648, 0xb37f363c, 0x994d5230, 0x0ee80e63,
+    0x5e0df179, 0xf9fb12d5, 0x51bf605e, 0xd6cbf423, 0x36432ed9, 0xb693dbbe, 0xf9676a57, 0x3c0d27e7,
+    0x06708ba5, 0x17bea84b, 0x2249d6b3, 0x330aa194, 0xe6887cc4, 0x7b46ee56, 0xabebf472, 0x21b5d4e4,
+    0x25bbcf5d, 0xa1355127, 0x8d2a2465, 0x31a4d1d2, 0xe53d832d, 0x1ddb23c6, 0x90b4352d, 0xe4e72850,
+    0xb862f336, 0x1ae8fe0a, 0x9535fe04, 0xb9d0abd0, 0x910b931a, 0x673a3fec, 0x5dc78e75, 0xd36b798d,
+    0x5adcc60c, 0x549b4567, 0x49792445, 0x283e93e3, 0x5c1ceb0b, 0x50c0bc1d, 0x2fd8ce34, 0x94f21bb7,
+    0x81559763, 0x1d47342b, 0xced7bd11, 0xaa9b5bdf, 0x55970769, 0xeac14f0c, 0x045e83de, 0x71d26c1f,
+    0x16612a2e, 0x75bb3e65, 0x98075a02, 0x67ce71a0, 0xbb3d1cd5, 0xf88e7d6a, 0xb9e781ec, 0x8519a3ac,
+    0xfce0a407, 0xce0867f4, 0x76c057c9, 0x2c719067, 0x617c9720, 0x45bfcaee, 0xdc41a3c6, 0xe17c8a61,
+    0xeaea7966, 0xf0b00ba6, 0x4d6f40c3, 0x8c51a898, 0x8283da21, 0xdeec4e33, 0x7e04f803, 0xd45f6d63,
+    0x4afd4e0b, 0x393c0893, 0xcee9b0a6, 0x066cacaa, 0x7989bc8b, 0x17478796, 0x2fba7dab, 0xed169f24,
+    0x2daffa4a, 0x4aa3bccd, 0x6a9ed1f2, 0x74831811, 0x8cf54595, 0xb306f4d2, 0x0a5edde8, 0x0330d918,
+    0x0ec7cb4a, 0xb31ba178, 0x52b547c6, 0x975c6fed, 0x1c5507ce, 0x3fbb358f, 0x61679b57, 0x06c86403,
+    0xfb279987, 0xab94219b, 0xa95bcf2c, 0x53c98506, 0xd0948edd, 0x92ed9b85, 0x045c07a6, 0x0668ad2a,
+    0xb3aa5a8a, 0x749222d4, 0x7fb832f0, 0x8bf54141, 0x83b89776, 0x5c0f4596, 0x44d5b4db, 0xd8f268be,
+    0xa76a4bb2, 0xdc78b3d9, 0x3813975a, 0xcd2c5556, 0xb0127fd2, 0x83080cf1, 0xbc6f91f3, 0x8a6cb338,
+    0xefa376d0, 0x5b964e9a, 0x88e33f36, 0x924f6763, 0xc617f94c, 0x8c13a5e5, 0xa04654c9, 0x96901981,
+    0x56f71bbd, 0x63fea590, 0x0c6ebf29, 0x815ad7d4, 0xffe94102, 0xab2580d9, 0xb10d18f9, 0xeb678915,
+    0x2ece0eae, 0x99a8bb59, 0x56d2e1c8, 0x6dc6e2dc, 0xabe264d7, 0x5d408628, 0x51a22841, 0xf362c063,
+    0x51680cda, 0x335b76f1, 0x81643928, 0xe8ac0cde, 0x47190339, 0x707de2c4, 0xa65b31cd, 0xc93cd915,
+    0x467d9645, 0x856841a4, 0x923b7f1a, 0x83e0f2cd, 0x01b950ec, 0x29e15393, 0x5e495295, 0xb668aad2,
+    0x561d2201, 0x3c9d9c2a, 0x8696038a, 0x2c4ec30c, 0x017fbe3d, 0x07788208, 0xcef97039, 0xd6fdabd9,
+    0xb0621cae, 0x23e1fe89, 0xb92bfe7d, 0x5907fb96, 0x70463780, 0x07ee377f, 0xcd15eebd, 0x253b2874,
+    0x6fc4d178, 0x5df4c309, 0x09fa3442, 0x509154e8, 0x12687be8, 0x2909917e, 0x8726649b, 0x8e16d80a,
+    0xb19e5922, 0x42f18c35, 0x7cd3a6ed, 0x84eb7067, 0x323d18c7, 0xcd2962ee, 0x24451c01, 0xc97658f8,
+    0x6c7910e2, 0x0bb046ca, 0xdce68585, 0x59518c04, 0x5df17e47, 0x05c14669, 0x29e70cb1, 0xab520fe2,
+    0x5e5005d6, 0x86aa2513, 0x1cc76473, 0xaa0c9c2e, 0xf3f8e247, 0xb6b29ac4, 0x945e2f46, 0xee79206a,
+    0x5ca29d6d, 0x922fb388, 0xd23aa844, 0x482f8062, 0x7d9039f4, 0x60457308, 0x9f478e8f, 0xaeed8d5f,
+    0x5799848a, 0x577b5ff6, 0x1766a584, 0x82f31220, 0xa05ecb5a, 0x22186a36, 0x93aef674, 0x29f2d524,
+    0x484977eb, 0x0f7ef780, 0x25a30857, 0xaaa1b8a7, 0x9db3c03b, 0xf0d86dc5, 0x9028170b, 0x0fb405a7,
+    0x94fbb1dd, 0x4f843e8c, 0xc3c94bae, 0xabd7de23, 0x847b838d, 0x6444a293, 0x70b4eade, 0x7900faa0,
+    0x79758752, 0x66edd23d, 0x9dbc0d63, 0x2a250de9, 0x7f54c4b1, 0x44334e02, 0xa575d0a6, 0x192c1ac6,
+    0x56b14463, 0x6cdf14ef, 0x9faac6f9, 0xf53fec85, 0x5c2c2b42, 0x11f38bb3, 0xa05e4a2a, 0x2a73bd56,
+    0xda0b06c6, 0xb57566cb, 0xc4bae696, 0x313d1e01, 0x1e0183de, 0xa343d5b1, 0xb1a83cab, 0x77cf8e6c,
+    0x02642235, 0x88b957d7, 0xe12b5fd4, 0xb2ef7206, 0x10e60040, 0xa12709da, 0xb6c4e760, 0x2c01e589,
+    0x77f8d8c3, 0x094d8260, 0x32ed7f36, 0x60eb6335, 0xc67df811, 0x19f8a2d6, 0x8c1fad50, 0x04a391c4,
+    0x03c13dc2, 0xed59fec3, 0xb4230b70, 0x00f6e958, 0x44fb6350, 0x43866bd4, 0xd0be1f1d, 0xfd95645c,
+    0x943d3d0c, 0x9bba641b, 0x6a885951, 0x4644241b, 0xda9bd344, 0xf9131d07, 0xb3191bec, 0x2a1aea92,
+    0xa90b46b1, 0x9bbfa7f3, 0x5c9b3f9d, 0x2d71b5d2, 0x1159ada2, 0x5dc1fb63, 0x79edf800, 0xedcd1a83,
+    0x99b4eb72, 0x8bd52117, 0x6ba39a71, 0x44c945cd, 0x202373e6, 0x3244e780, 0x887c691c, 0x9dba1da2,
+    0xaa4e147d, 0x072f2511, 0x4c17bf45, 0x90c8f9aa, 0xeec09874, 0xd0204a01, 0xf73bf6c2, 0xc3bf3467,
+    0x9a937e48, 0x36665663, 0x420cb438, 0x31671272, 0x87e28af8, 0x5bbbf379, 0x8223579e, 0x60116244,
+    0x3f36e5b4, 0x778841ac, 0x9d804e70, 0x6f15f51e, 0x827eb16f, 0x4df0eb54, 0x7c8f9a92, 0x6b205950,
+    0x2470f97c, 0x13637aaf, 0x363f6cc2, 0x6cc33e5c, 0x1706c4f7, 0xb7338c9f, 0x96ba0f80, 0xa36fdc29,
+    0x3e8616af, 0x3eca0204, 0xabab0817, 0x665db503, 0x57a7a28f, 0xc0074864, 0x4dde9cac, 0x32fcb28c,
+    0x8dab0f0e, 0xd0ea6a16, 0x320b3c58, 0x14b201c1, 0x31b58443, 0x6f27b2f0, 0xd2115549, 0xb04aa736,
+    0x11a0b6d2, 0xc166cb9f, 0x28955235, 0x40188287, 0xd4feea38, 0x325ee146, 0x05d21127, 0x314d1776,
+    0xe79bbccf, 0x1451a991, 0x9fcf95b6, 0x65fc78ec, 0xea503be0, 0x61f121d2, 0x6acb9640, 0x8fed432b,
+    0xec09286d, 0x2b51e2cc, 0xcbaf3b38, 0xd01f9e37, 0xc92d9184, 0x63f98188, 0xfe93988c, 0xc061650c,
+    0x5c0b41ce, 0x124666e2, 0xfc100c0b, 0xf5c48cd9, 0x7aaef853, 0x3dc68cf0, 0x2cfe12dd, 0x3aacaa37,
+    0x0f33b4a6, 0x4984ae6c, 0xab4c7f94, 0xefb15199, 0xd6d32ab7, 0x59b9104f, 0xf3a7f986, 0xadde2c10,
+    0x11297903, 0x2f3a5b64, 0xa537870c, 0x0996482b, 0x60dbdf53, 0x3704c291, 0x052b0325, 0xfef09f8b,
+    0x98568d5e, 0x8e7e7c71, 0x302bac88, 0x96007c22, 0xd4a4558e, 0x77b46202, 0x39959e49, 0xa0c48d91,
+    0xb893f903, 0x3783ef6b, 0x9dab3491, 0x357b0952, 0x081b8669, 0x5251e08a, 0x05662297, 0x28bc304e,
+    0x6b973c80, 0xb1a6b01e, 0x30ca1563, 0xa28fe724, 0x80669ab9, 0xf4533eaf, 0x88e3352e, 0xc7b0f7e1,
+    0x5287260c, 0xfe19533f, 0x2711ed5e, 0x7a661af2, 0xe07e8e1a, 0x4db04119, 0xe861e800, 0x4371aa4c,
+    0xb5c8350f, 0x45493bac, 0x43e20da0, 0xc5e8afd0, 0xa4d6e4f9, 0x8cbcf462, 0xf73a01fb, 0x52eb47cc,
+    0x658092a9, 0x829de6d0, 0x37daf951, 0xbcd36f8d, 0xb47f0b40, 0x75255d0b, 0x57c647fb, 0x149a9659,
+    0x95855172, 0x1f884e06, 0x60ec7b60, 0x4efe5b7d, 0xe47b0a41, 0xfedf2df7, 0x6e67290b, 0x58647895,
+    0xa8b40115, 0xdb4408e1, 0xd9088c53, 0xf081cda7, 0x77e1960e, 0xc42e0ed8, 0x2e800335, 0xa2fb56fa,
+    0x2b195244, 0xbe09e5a9, 0xf7dbe67e, 0x843029c1, 0xa949dc9f, 0x7fa6f8b0, 0x79f29a1e, 0x6ddcc741,
+    0xe5bcab57, 0x07666290, 0x6c1cac17, 0xcd38e71a, 0x0bef9b63, 0xb5e5b277, 0xda5ac1fe, 0x119f6e41,
+    0x004669df, 0xde74f7e9, 0xea548f25, 0xeac96024, 0x0bd3a33b, 0x374a7d49, 0x90af5de8, 0xf4f3ab60,
+    0x8840671a, 0x9841797d, 0x554295d8, 0x4f3cc3b9, 0xa03e1271, 0x791aac0e, 0xfb1a8168, 0xa5215bdb,
+    0x78636381, 0x7337a919, 0x89db3b73, 0xd1196fa6, 0x53dda0d4, 0x17356b23, 0x8434b061, 0xbb24097f,
+    0x8f72d8a1, 0x53fa7c9c, 0x20c13243, 0xef24aac0, 0x8ef49755, 0xd7378aeb, 0xcf703f78, 0xf7134c12,
+    0x1c50c543, 0xca910d9f, 0xd19b47cd, 0x84a838fb, 0xd413aba8, 0xd637cd11, 0x9a16c7a0, 0x2159c850,
+    0xe7a09b40, 0xd80da48e, 0xe37c8a48, 0x7520b730, 0xd122176d, 0x35206b87, 0x0ee7deb2, 0xd826e0fe,
+    0x33962966, 0x3cb1d6b0, 0x0042226d, 0x7b4b748b, 0xe50d2238, 0xd5138ab4, 0xf2279d44, 0x6950f444,
+    0xfd6c79fd, 0x7ed820d9, 0xba961767, 0xd6facd69, 0x86cc81f2, 0x6e87dc05, 0xfd022d2a, 0x670b1440,
+    0x454a6788, 0x37f7ce0c, 0x5e71291a, 0x653348b1, 0x9bb54af2, 0xfda4f7f8, 0xb7e2fdca, 0x8f3091b8,
+    0xda5e0005, 0x74db8848, 0xde9734f5, 0xd48df097, 0xd9b762a4, 0xb4e40229, 0x4787a3e9, 0xd24a9706,
+    0x9f478463, 0x5b81b1d3, 0x7e36bdb3, 0xdaaf48d3, 0xb4ef69ad, 0x2b8c37ad, 0x31bcb8d0, 0x6551c262,
+    0x5eb42060, 0x8a86e2d4, 0xac7d43d5, 0xb37d0780, 0x31686ab8, 0xdae5ad05, 0xee41c00a, 0x4d369815,
+    0x13ccb7d7, 0xded9306d, 0x8560f8b0, 0x4a7f6014, 0x5357511d, 0x4a143343, 0x1a7b314a, 0x79534a1b,
+    0xdc9cbdce, 0x3379bbf8, 0x8547f992, 0xe8f29df4, 0xf6e0a68e, 0x24a5f8bd, 0x693a5637, 0xa84fce68,
+    0xc5121bea, 0x5868890f, 0x9ae7bfe8, 0xb84aaf34, 0x6ee88e08, 0x4752a654, 0xcb44f146, 0xe4370e36,
+    0x57215b56, 0x6489595d, 0x56dbfcd2, 0x323fca24, 0x8c557821, 0xf24b4e40, 0xa728f21a, 0x01a12260,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000008589934592 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000003, 0x5269e12e,
+    0x00000000,
+    0x93862654, 0xfb538ed6, 0x6e02ff37, 0x0e047c4f, 0xfaea6060, 0x82d7059e, 0x286826df, 0x3befabd3,
+    0xc6cb4a5d, 0x7680bcc1, 0x1d7dd8d6, 0x1578d1a5, 0x0dfcec76, 0x1fd1a105, 0x3090da2e, 0xc6883fbc,
+    0x9deec78b, 0xf4f0267b, 0xe80b033d, 0x47653ba7, 0xd276f93d, 0x6e849817, 0x97ef2ebf, 0x3d569a18,
+    0x8a79040c, 0x18852822, 0x39507411, 0x2c6a36e9, 0x20beb8b6, 0x6dd70a7a, 0xb3a8455d, 0xa368a9f8,
+    0x1f68c918, 0x0943d121, 0x81eb7751, 0x933a1cee, 0x1ee26e3c, 0x350a9458, 0x3ee6159f, 0x05af0f75,
+    0xce19eea0, 0xe704c779, 0x5ad58e22, 0x80450742, 0x2cc2fb3e, 0xccaa740e, 0x17f9f9a0, 0xc7292168,
+    0xa0f13d5e, 0xe2176f67, 0xc72d1769, 0x7993d73d, 0x3f74f9e9, 0x0c52c271, 0x9a48a2cd, 0xb0683717,
+    0xbfcc3565, 0x582c8dfb, 0x4b7e674e, 0xb9e19d16, 0x9e7769c6, 0xbfb9a7c6, 0x1b50d0c7, 0x239b557c,
+    0x50876b8f, 0xd20aa764, 0xfc8f3830, 0xc78e98c3, 0xea1909de, 0x5f126347, 0x05a05544, 0x77f6ca10,
+    0x291adf83, 0x334aaaad, 0x25624adf, 0x63cf1f28, 0x9d603c62, 0xf5bb20b4, 0xe6ffeb6b, 0xd0871584,
+    0x17364175, 0x6cd391a0, 0xc337e6bf, 0xac3b51d8, 0x89fc7383, 0x274e6a4e, 0x51fe101c, 0x17ba359b,
+    0xd46f6101, 0xdd61c1d0, 0xbf881914, 0x0a3fc0a9, 0xb2499087, 0x459b6f1c, 0x427a8a23, 0xc54adff7,
+    0xba525294, 0x1edf1557, 0x0ee91838, 0xb811f282, 0xc6e8ddcf, 0x74a8fb39, 0x4b0ae619, 0x73c11295,
+    0x5d4a2167, 0x24fcb085, 0xd85a4924, 0x966b7fbd, 0x09b2345c, 0xf5a52192, 0xe3e553ea, 0x76d02d73,
+    0xc03ef6fc, 0x101b74c5, 0x3a53bf79, 0xf4dbd904, 0x5edf4a84, 0x97f4efd4, 0x990e8316, 0x831a7c48,
+    0xa7e19240, 0x5677b10d, 0x623b628c, 0xf631aeab, 0x25c6c9bd, 0x452effad, 0xe30af05c, 0x07040f60,
+    0xfc34f95a, 0xdef4441a, 0xe005863d, 0x4beb3b55, 0x33f431a8, 0x3ffa588e, 0x81756f52, 0xf9ff7dbf,
+    0x4a96cf36, 0x713074e1, 0x8cbf1db0, 0xe004a442, 0x1a61b8db, 0xfd17c679, 0xe20099a8, 0x40109865,
+    0xa3ffb348, 0xb08b4b6b, 0x76081bcf, 0xe1decaea, 0x54f5240f, 0x1d24f161, 0xd2a7a1d3, 0x80d94242,
+    0x78b9f57f, 0xaae156d6, 0x9cfc8de5, 0x2f07c6af, 0x7ea6be3d, 0x51746e5e, 0xf5875e57, 0xe23f90ac,
+    0x809f53c3, 0xc2d10ff2, 0xfc890bf1, 0xf34e25d8, 0x8a09a80c, 0x24f0e52e, 0x468a7458, 0x50c9fa1a,
+    0xa8f34995, 0xba4278c5, 0x857ad898, 0xdfa820fa, 0x6d9ef462, 0x92ce9643, 0x912b65bb, 0xc99794d5,
+    0x45a13464, 0x0e065282, 0x8ce107e9, 0x55eb3ea4, 0x10b1d472, 0x7692544a, 0xf8dab76b, 0x82d94bdc,
+    0xbe05065f, 0xec0029f3, 0xbacf58fb, 0x55912c94, 0x4fc4cbdf, 0xf74efe76, 0x33daa848, 0x1e7152eb,
+    0x3096f51f, 0x13a1c363, 0xd3d10a53, 0x799f8eb8, 0x1b069d67, 0x55c7359e, 0x59cf71fd, 0x8a454be1,
+    0x1da44def, 0x1ed97c6c, 0x9728d041, 0xec38530f, 0x02909dec, 0x0e0ff438, 0x2ef173e8, 0x2f6711f9,
+    0xc0ffb9f6, 0xa8d10a0c, 0xcf0d1331, 0x11c7c95c, 0x48b01e39, 0xe2f021de, 0xb3643844, 0x884d6f9d,
+    0xcb64621d, 0x04059c8a, 0xe6fb8b51, 0xa7eee8cd, 0x705b1762, 0xcd0f7e1c, 0x6813bd95, 0x34030b72,
+    0xfebdff2e, 0x89b58cbe, 0xa950b6dc, 0x4d58c3b7, 0x81467432, 0x609b1dd7, 0x610e19a1, 0x95dc44d9,
+    0x141dea3a, 0x8187bc82, 0xdded3ddc, 0x783c1f58, 0x2ac0d9af, 0xa4d6bac0, 0x2d09f4b7, 0xcf1bdcfb,
+    0xbf1d8858, 0x773454dd, 0xe781ea84, 0xd3c3a002, 0xb0fd029f, 0x8968532b, 0x54751086, 0x55741c4a,
+    0x96f4cb1f, 0xd2043a39, 0x117fb366, 0x9eb0d977, 0xf9ccec89, 0x08718651, 0xedd62a1e, 0x13207854,
+    0x1856437d, 0x751fa17c, 0xc0d37a79, 0xedfb2fdd, 0xc69d7261, 0xa80188b6, 0x00f1264f, 0x4a0fb3d3,
+    0x78d6aae2, 0x34183c5d, 0x24a7a384, 0xd69777c5, 0xce7f2854, 0x25e8242e, 0x0311b816, 0x1096612c,
+    0x53044402, 0x8c6a9fd4, 0x3ef37096, 0xd7ecd9c9, 0xd320f601, 0xa6be0866, 0xb1868980, 0xeb4554b3,
+    0xed76030c, 0xe935415c, 0xf6d32a62, 0xb6e48b9f, 0xc5b1a92b, 0xa0e799fb, 0x0cd9d2a8, 0xcea59f67,
+    0x606f5297, 0x0fc8a86d, 0x621b3c12, 0x5e9fe163, 0x20126379, 0x9dc69543, 0x13592215, 0x8dc01296,
+    0x2cac0261, 0x3fe5b025, 0xf92fa11a, 0x6cee4e93, 0xd6c72c76, 0x7b1067a3, 0x234fdd7b, 0xc30d3470,
+    0x5c8d7d64, 0x90388bc0, 0xa68867eb, 0x7c86a2e3, 0x00673789, 0x12953894, 0x5ec4225a, 0xe802c55e,
+    0xea0b26f0, 0x6fa30e61, 0x59db9130, 0x73c786c9, 0x7a9acf03, 0xf3dc47d6, 0x514075a4, 0x17a65b00,
+    0x88e548dd, 0x51fde43b, 0xb1c56784, 0xcbb16b26, 0x3c3640af, 0x5a31d682, 0xa5022701, 0xa0f8f06a,
+    0x0d6c52f4, 0xe82b681f, 0x87a6c558, 0xae1a6000, 0x1a440a7b, 0xd57e32ea, 0xd2b142f9, 0x4923536e,
+    0x04b552fd, 0xc2b581e9, 0xe96efc24, 0xd130e890, 0x4dcfc0db, 0x6ff2e102, 0xf3d8a4ba, 0x954fd384,
+    0x7901a638, 0x194eedf6, 0x8902bbb8, 0x5c4e26f6, 0xae9e7e3e, 0x06be08c3, 0x48fd427e, 0x1899493c,
+    0x7863c098, 0x16de6fba, 0xb2cbf020, 0x2f8bae0e, 0xb42b12da, 0x70e603b9, 0xe28eab33, 0x3f25b268,
+    0x05f94df1, 0x805d31c7, 0x5908ed54, 0x1290aee0, 0xd066f75b, 0x790b7a43, 0xc667d1ea, 0xa075f4ff,
+    0x2991de43, 0xf56bbad8, 0xfa2da2c4, 0x6d3fd53b, 0x5f2a3e9c, 0x73cbae43, 0x2091e450, 0x0af5467a,
+    0x5e4af403, 0x8d335078, 0x98ac6d10, 0x6e48e21d, 0x10a28bd0, 0x6af61a6e, 0x55c5a349, 0x46f37b90,
+    0x967deadb, 0xf350ed62, 0x60171cfa, 0x57edda26, 0xffe12f31, 0x2f91b866, 0x25828c6c, 0x47d64615,
+    0x08fdb6a2, 0xce26b147, 0x4162f183, 0xd44f5f6b, 0xc7eb0f4d, 0x45b5f699, 0x70759d42, 0x51af6abe,
+    0x39d3d51b, 0x4e3a6757, 0x724de9c3, 0x9d0873d8, 0x7f452412, 0x403998d6, 0xb70ff8d7, 0xd9c8b503,
+    0x75f1af43, 0x1195a25c, 0x721ee9f5, 0x4a3b440a, 0xfd95bde8, 0xeaf477c9, 0x05ac0690, 0xb0572364,
+    0xdce43ab1, 0xd4473644, 0x5d485c6d, 0xa1ea1942, 0xe45e9b3e, 0x029cac11, 0x836d4c07, 0x60e2df24,
+    0xb4e39819, 0x0690141a, 0x4ddff6a1, 0x69225a0f, 0x1e338688, 0xac8453e3, 0x9fb37011, 0xcbe44a79,
+    0xf9946a03, 0xe75e8359, 0xd86aedd6, 0x030c0abd, 0x4b30ded5, 0x5ffbc715, 0xcda92901, 0xe0d296c2,
+    0xa48ff38d, 0x5f67f6e8, 0xc13a63bf, 0x8a3f0e8f, 0x6a48e223, 0xd8546410, 0xf05363be, 0x132ee29a,
+    0x6de66bdc, 0x8386a8e7, 0xa038547f, 0x9d649f94, 0xfda4f064, 0x39f5bdd9, 0x6f2a3869, 0x2e31c066,
+    0xf8e4e6f8, 0x6b90eef2, 0x7b391323, 0x98a41183, 0x2e7afe0c, 0xc2d13fab, 0x92ed90a6, 0x75c37464,
+    0x21a8d58c, 0xcb0780c8, 0xd8b89ce4, 0x3c593299, 0x4388d2fb, 0xa8c206e5, 0x202b813f, 0x43b1d87d,
+    0xe4c5e79e, 0xbdb4b8ec, 0x7cd30e68, 0x08581f40, 0x241d99b8, 0x714ca216, 0xfe72a15e, 0x990258ee,
+    0xda19f73b, 0xd361c870, 0xe5c8f124, 0x31247a12, 0xe48cb09f, 0x7986acc5, 0x22240302, 0x1dd65aa3,
+    0xac73c8e5, 0x709aebc8, 0x17ad2776, 0x4d74fb8a, 0x541ef47f, 0xd0ec40f9, 0xeb2ac5e6, 0x23e20bb4,
+    0x75f2867b, 0x24fc64bc, 0x6d5369cb, 0xe65a7168, 0xa6ffd427, 0xa0514feb, 0xe253e479, 0xc27bf51f,
+    0x515e8eaf, 0x8dd3fa90, 0x7b0a11a9, 0x0c98d22c, 0x01029bca, 0x201d4f94, 0x102e4a3c, 0xb899974a,
+    0x3ef65bba, 0xeedb4dd2, 0x3e2418ea, 0x6aeba395, 0x1eab896f, 0xbfcad0ab, 0x1580ad98, 0xa4d6868d,
+    0x21444cd8, 0x3df997ca, 0xccfb2e56, 0xb78329eb, 0xfde95654, 0x50b1e65d, 0x38f3567d, 0x8e4e0335,
+    0xb8dc2c3b, 0xf0fba394, 0x0af04a73, 0xfb21ed0f, 0xd71df155, 0xa1b53235, 0x409f8094, 0x0a2ceaa0,
+    0x2ce6a730, 0xdde564d5, 0xc3db7172, 0x22bf63e4, 0x81038c23, 0x32888a1e, 0xb3a3873c, 0xc4e53a69,
+    0xab09c5ea, 0xc4bbfb43, 0x94f49768, 0x1c26d52d, 0xb7537969, 0xcc5316d6, 0xe2dcba84, 0x53953502,
+    0xfb2806f1, 0x62762eaa, 0x56f32c1b, 0xaceedd11, 0xe4365d4a, 0xf88f04e4, 0xad69559a, 0xbd87774b,
+    0x1cce0ad5, 0x8f96f9ee, 0x68666591, 0xc79a71d2, 0xc0723e1a, 0x27e42e92, 0xf063e260, 0x3677e66b,
+    0x81bd1106, 0x55ff3945, 0x620a2467, 0x1a8183e9, 0x03434f86, 0x30192ed7, 0xc06bf31f, 0x27a13336,
+    0xd9c21019, 0x93169804, 0x6c939d8b, 0xee365787, 0x89a5b96d, 0xed9bb6d7, 0x32643a27, 0x55b3f293,
+    0x9d83aedf, 0xdf7a79e3, 0xd89ce1c4, 0x0c6ac237, 0x20fe2559, 0xb546b6d5, 0x1768f49f, 0x9fd4501f,
+    0xd0f9af1f, 0xfe10cb81, 0x29f9537a, 0x1e816baf, 0x5135e7c1, 0x14f33c98, 0x7ab26adf, 0xcaddec11,
+    0xc6118f75, 0xfc92a312, 0x90cc8d48, 0x5bf880ab, 0xc7145a14, 0xe3b18da6, 0x1bba4bd5, 0xc0a09579,
+    0x11ea621d, 0x45d56084, 0x8cf9c892, 0x42817840, 0x86e78555, 0x8b27c6fe, 0x61a5c778, 0xd84416ad,
+    0x6ad192f8, 0xab67dd0c, 0xc194b993, 0xec6d88ef, 0x5083bdf0, 0xcf61f867, 0xf1f8cfbe, 0x73953c1d,
+    0xa85f183a, 0x6569766e, 0x3a586282, 0xf801bece, 0x3f943a58, 0xac00ba38, 0x075c8ddb, 0xe828c10f,
+    0x64da34f9, 0x7f3c7c79, 0x4c60b1a4, 0xe362b06b, 0x5e6d6e5a, 0xd7078df1, 0x08e8d78e, 0xaea81e3e,
+    0x3230589b, 0xb9e8deb5, 0x522b96d0, 0xb73f2ee8, 0xeeb7b5d6, 0xd9e7b3f9, 0xd9dfaf68, 0xbaa692be,
+    0x095fd8c9, 0xa7d9b595, 0x5efffbb7, 0xd77d8819, 0xe67d6423, 0x0b7abe15, 0x6ea77362, 0xa6b71685,
+    0xb2de2931, 0x638aafd7, 0xf5f49324, 0x6cdea45b, 0x07635e11, 0x16283945, 0x93e82970, 0xa1a1dc0c,
+    0xc3826bb4, 0x8d27f934, 0xd0eaa053, 0x36c342ff, 0xb6860297, 0xc61f3783, 0x07433491, 0x4ed3b030,
+    0x5294cff2, 0x22fee66e, 0x30952836, 0x7c66bf43, 0x77abe61a, 0x5f38cc7a, 0xc2dc6031, 0x4819ad70,
+    0x4b479195, 0x3fd885c7, 0x524fa565, 0x37757e49, 0x17a71cf8, 0x63d67bbe, 0x17f15619, 0x215b4047,
+    0x24658f11, 0x3bf8da72, 0x7405239d, 0xb64f9d08, 0x1deff841, 0xfc868662, 0x779b6197, 0xcf6ba3d5,
+    0x8a255f52, 0x0c8ba864, 0x73c56659, 0x7c5cbc1d, 0x6d216898, 0x08643933, 0xa0fd349c, 0x1df4ede6,
+    0x27e71947, 0x5a4d284b, 0x0d7ffe0a, 0xeb2a283e, 0x722ad284, 0x4148f248, 0xa5446737, 0xd4ed37b6,
+    0x41bae0ed, 0x7d407e3c, 0x1b71e442, 0x48421a66, 0x1c55b3c6, 0x903339ed, 0x64e610e0, 0x76512713,
+    0xfadf2947, 0x5b401c4c, 0xd58dde17, 0xf7b77357, 0xa80c3b6a, 0x20e64ea9, 0x5270c85e, 0x57631741,
+    0x0b5ad5a0, 0x860cf1a5, 0xa8f2682b, 0x111baeb8, 0xdf4cac17, 0xffef7fc8, 0x17d11562, 0x8cbc091a,
+    0xe251d207, 0xc96a2b42, 0x70c8f15c, 0x5d66ee9f, 0x5e8f0c93, 0x7a57aeee, 0x6def7243, 0x18034a90,
+    0xd08ed3a8, 0x0be8d39c, 0x840c6dee, 0x09da81ab, 0x97c10a3e, 0x233d2e52, 0x0efdd57e, 0xa0a552f3,
+    0x201b5470, 0x43274aa8, 0x88fd17ce, 0x62350baa, 0x3327ab2c, 0xa9be6c20, 0xe28ae67c, 0xe5af4805,
+    0xfddd8a29, 0x16ebca23, 0xfb7904ae, 0x2e5b227d, 0xf6d62700, 0xfd7f9c51, 0x96e61681, 0x85be1c91,
+    0xa1aa0780, 0xd29f09be, 0x840856c7, 0xe2ecf53f, 0xf7d00c5e, 0x33e52eb3, 0x284c173e, 0xdf417219,
+    0xc0c15f42, 0x31eb6427, 0x95212f65, 0x3dec6cd5, 0xdea1ee5f, 0x674ad2b6, 0xbf23615f, 0x28aba8c9,
+    0xee6f5be5, 0xc8b5ba53, 0xb035f12f, 0xda24ba40, 0x13a5bf6b, 0x6e82fc80, 0x34bb089a, 0xccb3f22c,
+    0xb6b382e5, 0x91e53409, 0xd6200c70, 0x5da2e787, 0x2a33ef98, 0x226f260b, 0x31e3be36, 0x4102b397,
+    0xa194eb5e, 0x4b98fe49, 0x8c64c5e4, 0xcd1663e4, 0xf00aaa26, 0x6940eb6a, 0x29a84e9d, 0xe5d655de,
+    0xeb80b380, 0xa80f907b, 0x3bf34f93, 0x8e377d79, 0x1b91ba5f, 0xa4190ac2, 0xe7e4c1af, 0x9bbaa68d,
+    0x585e844d, 0x3b3270a2, 0x8c26096f, 0x7051d91f, 0xf6e3a3dd, 0x3b3f6da0, 0x475e4b79, 0xe052800d,
+    0xff810e2e, 0x4fe44b63, 0x48af6243, 0x507589a1, 0xfb4ff5ed, 0xb9e947dc, 0xae11c8d2, 0xa1d6aca7,
+    0x9c704451, 0xf89ab2f0, 0xc3775abe, 0xabf9ac46, 0x0beacf83, 0xc61db823, 0x6f20e9b4, 0x679e3590,
+    0xd60fdb0b, 0x1399706c, 0xf4efd6d1, 0x5777edda, 0x016fb3d9, 0xc146059c, 0x7eee230d, 0xcb80a849,
+    0xe07fc76b, 0x7e74a2d9, 0x1733f3ff, 0x36e0fba4, 0x1c7145dd, 0x9bbbe62c, 0x7535fcc1, 0xa626f899,
+    0x4dd48f06, 0x3c3ff59e, 0x723593c2, 0xc9a1c39a, 0xa6984fc3, 0xba5befd4, 0xae26fdff, 0xb94b750e,
+    0xbb286467, 0x84e0d015, 0xf472e7db, 0xf7221474, 0x20f0cbf5, 0x05b04b6e, 0x7fd9b6df, 0x331dd32f,
+    0xdd28cdfc, 0x45e1f702, 0x1243b554, 0xc273e422, 0xe7570744, 0xe9beacd4, 0x2d15ce3b, 0x9cad902b,
+    0xca788e21, 0xfdabb7a6, 0x9dc7a683, 0xf20e4f17, 0xd395c460, 0xc11be059, 0x1179c04e, 0xf01e5feb,
+    0x98149899, 0x83799d37, 0x7648b2f4, 0x89ea805f, 0x2cf20257, 0x2bc5989a, 0xa610841e, 0xf2cd92bc,
+    0xecb2ce40, 0xf696360e, 0x8dc85436, 0xdf9bc627, 0xbd8279e3, 0x1427293a, 0x7906d0d8, 0xbbe82818,
+    0x6a17cd7d, 0x32597ac6, 0x74275816, 0xfba4d769, 0x4dbd60be, 0x6844ee29, 0xc55bea99, 0x63dc562e,
+    0x4060ba14, 0xfeebf3d8, 0xd0609cbb, 0xe3da1464, 0xb42c45bc, 0x948483b6, 0x6161fd9a, 0x905c1bee,
+    0x3ca5f581, 0x444f38bc, 0xbecfc529, 0x1838ee53, 0x5da20be2, 0x0ab41a7e, 0x46753448, 0x3e67bb63,
+    0x6be5feb8, 0x8b4d6071, 0x4f964345, 0x1cbcc3cc, 0x0cf0d4f0, 0xe5611d6c, 0x4e6a7690, 0xb039b026,
+    0x02faef8d, 0xcddaa066, 0x277105a3, 0x1e0172ef, 0xe65e9d26, 0xd7c9bac4, 0xcbd50b7d, 0x67be96d7,
+    0x6a0df85d, 0x25b6970c, 0xe3e0d0e7, 0x2a8a9894, 0xe3d54daf, 0x923c201a, 0x0db1134c, 0xa50cb9ce,
+    0x03558e2a, 0x8ce1969f, 0xe5340482, 0xd9d3e918, 0xb6189e3f, 0xe9651c5d, 0x812c5793, 0x5e3f7524,
+    0xb92ea83a, 0x6213c5ba, 0xd3a95782, 0xbed4475a, 0x64ffebf3, 0xdda4d1ff, 0x3cf71b2d, 0xd1b1a5c2,
+    0xb4e3fff8, 0xc242fd8c, 0x4203536b, 0xad4fd17f, 0x44afd8fa, 0x22ab4bff, 0x9c0bf1fa, 0xd0281bf6,
+    0x2f717d6b, 0x22610936, 0x6ac1c47f, 0xeb63935e, 0x65f39e9b, 0x1e1c97a4, 0x865f0128, 0xabd842b4,
+    0x7c19ae31, 0xbb87ade1, 0xf64b8e1c, 0x34f649a2, 0x5a94d399, 0x42837459, 0x1bfd5360, 0x2e4ab503,
+    0x5bf810ea, 0x73f50b28, 0x205b9e5e, 0x0acde90e, 0xd5573522, 0xbba0679e, 0xba5b9a4b, 0xc206debb,
+    0xb4b58c77, 0x5f88416c, 0x048a558e, 0x76fd3bce, 0x42fba7f5, 0xfc2d8ca5, 0x919caf3b, 0x9b2cad5e,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000004294967296 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000001, 0xa934f096,
+    0x00000000,
+    0xc255cc41, 0xc904b905, 0x80d0b366, 0x3b6b13d5, 0xb7963335, 0x0314c2f0, 0x123eede4, 0x2db37f11,
+    0x095c6a4f, 0x21ac4773, 0xd69a36e4, 0xce2c1ca5, 0x56e82c1f, 0xe3ebe9d3, 0xa9c1487d, 0x8f25d0a7,
+    0xfd1bd3cc, 0x10a75193, 0x842a29db, 0x3b2acb1f, 0x33780c9a, 0x2a85ea1a, 0x28a148bb, 0x3d07324a,
+    0x226ba0e0, 0x9252ee81, 0x007a378a, 0x0f5699f1, 0xac5997dd, 0x321993a8, 0x4daa24a0, 0x810a8d60,
+    0x5969c0ca, 0xa3f90aef, 0xe61e0c95, 0x72146c01, 0xedd1a7f6, 0x9a1a28fd, 0x7545e9bc, 0xc9d5de82,
+    0x8c6ac85c, 0x8babc807, 0x9f4fc6d7, 0xa670e0b6, 0xcc6886d3, 0xf7c948b2, 0x510cb1fd, 0xe9918cc4,
+    0x7a3ec8c6, 0xb52f5f78, 0xf673d056, 0xb5baf39e, 0x6b6077f3, 0xa77689a7, 0xf3badd2d, 0xbdb48d70,
+    0x6d155181, 0xfca16c40, 0xbe3f1a82, 0xaef5f0c5, 0x100853ba, 0x82179793, 0x3fee78de, 0xd3604ef9,
+    0x0b9da5b7, 0xb70be380, 0x6242a949, 0x7a9e2722, 0x0c3c1101, 0x79f5bf75, 0xec7de408, 0x7697edd0,
+    0xeb87bac1, 0x3103b9c8, 0x3f10fdfc, 0x1476a14f, 0x474aca2a, 0xe7cc3b61, 0x52e708d0, 0x95f12d49,
+    0x52540400, 0x4bd3b2bd, 0x9214a010, 0x55b119b7, 0x8c29ddc4, 0x434877d9, 0xd90f8b94, 0x01bb89f5,
+    0x251d49d2, 0x542a938e, 0xb004b7ef, 0xca754a09, 0xf1fd236f, 0xd36de75a, 0x868fb437, 0x6f86e6f2,
+    0x43b2f6a8, 0x6b57a9f5, 0x2eff8616, 0xf237c0b0, 0xdb4107ae, 0xf1f9c73e, 0xf534ac51, 0x6c6fbd1f,
+    0x16a7c525, 0x9b8b5122, 0xa0ddbb39, 0xfc1a1b68, 0x570b14ea, 0x9780a2cb, 0xe0dcd125, 0x7857bfbd,
+    0x64b024df, 0x12560f02, 0x8b399d1e, 0xaf4f0dce, 0x25518033, 0xb580205b, 0xd4c764b6, 0x017b87c9,
+    0x1200cb6f, 0xb6d2cf0b, 0xe77e2fa1, 0xac349269, 0x1d088ad3, 0xb950e87e, 0x769d95c6, 0x7e1e383d,
+    0xb4141a0c, 0x859e2c86, 0xe06d2775, 0xdb2b1527, 0x2ba86949, 0x877bc949, 0x9ed28535, 0x900b64c8,
+    0x0b341a44, 0x49baebf2, 0x5ec8866a, 0x29b76c16, 0x91215c97, 0xa9a06229, 0x4ef903a0, 0x9c427a79,
+    0xbe4a376a, 0x3595a8ac, 0x100d642a, 0xed56d1e6, 0xba7e1c80, 0x1591367c, 0x762bf9fd, 0x8834409d,
+    0xc142174c, 0x3b3df94f, 0xdef0db4b, 0x7dedb268, 0x9304c6ad, 0x31c8d437, 0x0474dfa1, 0x24527de7,
+    0xf14b05bf, 0x43be65ca, 0x6e6635c2, 0x0c27ad30, 0x90c54a77, 0x7d678371, 0x90703fca, 0x8190f90c,
+    0x3cfbc502, 0x694f7ed3, 0xa9e4bab0, 0x26cb26fd, 0xec9b3c14, 0x28716053, 0x5f4b59b0, 0xd6dfdce1,
+    0x6b9b9832, 0x500c0c55, 0x660c44c2, 0x9e75ae20, 0x8c0ce5b7, 0x7580bf71, 0x7aee8a2a, 0xbf8df9c4,
+    0xfb7baae1, 0x44a8000b, 0x610f8883, 0x5fb2361d, 0x7f4ac92a, 0x5f9a0857, 0x3eb5ad6c, 0x7d8af38e,
+    0x9d76518d, 0xd84dbaf3, 0x2ee4c701, 0xa71dc570, 0xe9b02eb8, 0x68b5b535, 0xd3c7e933, 0x93962d69,
+    0x114b4e4e, 0x19e030e6, 0xfff2ff4a, 0xf0fc5dca, 0x41ff1a76, 0xac66ba66, 0x2d151ebf, 0xe5de7c14,
+    0x7766f2b5, 0x68b6e90c, 0xe8bcec49, 0x1f48b009, 0xd7c040ec, 0xe65271d0, 0x6980a3e8, 0xcbc512a0,
+    0xda4cf216, 0x4432dbe4, 0xc9157376, 0x060bcd06, 0xc4c2f3bc, 0x22805227, 0x078a5320, 0x8f707725,
+    0x8f79a08c, 0xa5337d45, 0xe97df372, 0xc9ad0f3b, 0x52e8e583, 0xf5ef03fc, 0x60264a6b, 0xef6c42a4,
+    0x67661427, 0xf40e8b23, 0x04df00e9, 0xd72235d7, 0x2a22f8d4, 0x560ad86c, 0x1164c2da, 0x35c00adb,
+    0x1dec1698, 0x532bdb3f, 0xeedd3a07, 0x194678bf, 0xc2cb50db, 0xb39eefe8, 0xec588862, 0xd4c94af2,
+    0xa4cc9354, 0xadbb37de, 0xd598ddf2, 0x43e36100, 0x41b9af28, 0x99432c68, 0x8fbfcdf4, 0x3e4f35de,
+    0x880cdb1b, 0x0d19921c, 0xdb90da1a, 0x54820fd4, 0x1ac19d5d, 0x78bb9dc5, 0x73da7082, 0x6421556b,
+    0xd272bd12, 0xd6e20634, 0x07427c84, 0xcc68d782, 0x86083f8b, 0xbe9cc1f1, 0x5a2a34cc, 0xea870def,
+    0xaa2b4879, 0x93c1a089, 0xa673141b, 0x6506ad6e, 0x4a42d6bd, 0x4c7b4bf1, 0xa78a59e0, 0x0dc76fee,
+    0x3ab426ca, 0x0206bc4c, 0x593029fe, 0xe3ca3a85, 0x16be0755, 0xce2c8736, 0xe08451ab, 0x44efb5e2,
+    0x86e5b0a5, 0xd28dc948, 0xee354ad3, 0xee1673a9, 0xca79358b, 0x879eeb79, 0x820214b4, 0x1d38b459,
+    0x300f53b7, 0xf4a5da4f, 0x2fc1ff8e, 0x58ae2500, 0x3c33caa2, 0x2bbf6fb6, 0xb8ec59ab, 0x9ac91690,
+    0x7094909e, 0x79f83819, 0x84dec03c, 0xbef51a8c, 0x7becf4ef, 0x860f0294, 0xded06128, 0x2b2564f1,
+    0x18ed4fa2, 0xf952e120, 0xda2b68c5, 0x701b2b85, 0x46c1aa52, 0x58a9b7f3, 0x2f83a5e5, 0x0e6471b4,
+    0xb77ff093, 0x797aec24, 0x0bc21f45, 0x76860e72, 0xdd83901f, 0x9cdee579, 0x41ab2251, 0x8b9f2410,
+    0xf9fb3b1e, 0xa168582f, 0xad7907c8, 0xbc3e944e, 0xab595bcc, 0xb5393cb4, 0x70b30460, 0xd14786c0,
+    0xfc7ac2a0, 0xdec4e74a, 0x357c2ae6, 0x121a8b69, 0xd727d133, 0x74240f80, 0x76a0387a, 0x295cb12e,
+    0x0ae07a26, 0xe9a9b914, 0xb2b062aa, 0xaabc67a8, 0x81ea540f, 0x704c14c5, 0xd5183c3f, 0x55907de7,
+    0x9bb12bde, 0x2828c2fa, 0xbc3ab2f8, 0x2387130b, 0x74d39dd4, 0x9b646e52, 0xef104843, 0x2b9ceb9e,
+    0x92eb0cc9, 0xce9aa4d9, 0x005628a9, 0x234ef0ae, 0x6dc8dc61, 0x72435109, 0x77421b0e, 0xaaf8ac80,
+    0xedcdb02e, 0xa12c8a05, 0xeedfae23, 0xcb22404d, 0xd0f985c1, 0xd63599f1, 0x96744479, 0x5d901a80,
+    0xaed61276, 0xfdedd442, 0x496018d4, 0xcfbdca3c, 0xd8146a69, 0x7078327f, 0x75e5395c, 0xda0bdf80,
+    0xe29ef59b, 0xecb74214, 0xf3084659, 0xce78d738, 0x9b7cce2b, 0x98c3c1b2, 0xedcec306, 0x437e9f1d,
+    0x80496007, 0xb7b3439a, 0x7fd221d4, 0xc48342b9, 0x0731e842, 0x64f7eea7, 0xaa5654ac, 0xd15f4480,
+    0xc0c7799f, 0x3a864663, 0x4f27a360, 0x8e9e1c36, 0xbb036424, 0x32bd611a, 0xb09e61ed, 0x902a4c6f,
+    0x540bff3c, 0x3f410793, 0xb42e479a, 0x160c5c80, 0x78304b96, 0x6eda55b0, 0xc5d46540, 0xda661102,
+    0xc5432d56, 0x45e74d1e, 0x3fbb2d21, 0x15aacf3e, 0x007e4f98, 0x7110f131, 0xa94dabeb, 0x4b027679,
+    0xa40b289e, 0x59bae490, 0xa99ac320, 0x0d6ded99, 0x4d133060, 0xe0761e35, 0x71a96ea1, 0x8021734f,
+    0xf6544259, 0x395dee8f, 0xb8aa71a8, 0x50e5032b, 0x85e37928, 0x997bfacf, 0xef6a30d4, 0x925f3973,
+    0x060cb459, 0x08e301f8, 0x869e99fa, 0x47733183, 0x33ec82ea, 0x23ce9f70, 0x550cddd3, 0xf0e6f1d0,
+    0x9e36307a, 0xbe53aa72, 0xd3fc4cb4, 0x422fd77b, 0xb27295e8, 0x01e7d928, 0x208c5114, 0x7af289a8,
+    0x90ca863d, 0x429c1d7c, 0xf22a1fb2, 0x502a30c0, 0x2b09781e, 0x31513f72, 0x9360de18, 0xc7f56bd2,
+    0x9a390ce4, 0x637f3401, 0x360a314a, 0x8c544852, 0xb63074cf, 0xaf123844, 0x8aa29fdc, 0xace7a09c,
+    0x96d32862, 0x198504f6, 0x18b66fc7, 0x987ccdec, 0x82d5b194, 0x91dbe644, 0xf6f7312b, 0x7dce93e2,
+    0xb0948f68, 0x4e701c58, 0x12dd1c16, 0x11371b8e, 0xdd948af1, 0x77e5dce0, 0x594e8c4b, 0x0e7b80f2,
+    0x74dc9295, 0x4bb3fca3, 0x6afe4c1c, 0x219d3f6f, 0xce2cf13d, 0x2fe2d190, 0x1cfb2ff3, 0x9f7b2927,
+    0x32a73807, 0x274652e2, 0xe18b32c8, 0x271a3875, 0xced050c1, 0x8a9db2fa, 0x2fb8d701, 0xeb874c86,
+    0x3c1f3032, 0xc27324f4, 0x13d6ebe4, 0x219ac400, 0x5e135870, 0x1e38d256, 0xe1b3b987, 0x22f7bff7,
+    0x87b28fde, 0x765cf817, 0x93247813, 0xc68ecbab, 0x91965e36, 0xf36ba85d, 0xc0e7c654, 0xb6a312cc,
+    0xfc4ba4e1, 0xf02c1b8f, 0x39613b6f, 0x436bdaa4, 0x67ba4986, 0x2155870d, 0x21f4f3a9, 0x9f8cbd66,
+    0x2b0e223f, 0x0afb8807, 0x9853438d, 0x45aac773, 0x9ba50c66, 0xa3ffb6c1, 0x04705e4d, 0xfc8c0e90,
+    0x0381620a, 0xd968346c, 0x45a11f3c, 0x2209d408, 0x920f86c5, 0x29759221, 0x8842bd22, 0xd0347f6f,
+    0xc5a88d1d, 0xa1405e3e, 0xd6ebcbab, 0x0c82a979, 0xa1e3c319, 0xe64af5c8, 0x17ad88d0, 0xc935faea,
+    0x89639ea0, 0xd109d3c2, 0xd1850ee7, 0x9c3f3d53, 0x7f9e216c, 0x947d476d, 0x6934df38, 0xfb6b01ea,
+    0x58d09fe7, 0xa2712103, 0xc23b5a6b, 0xaaba91e5, 0x4c8dab54, 0x560296a5, 0xfbf65bc9, 0xb4dbd863,
+    0xb6307e1f, 0x296c4729, 0x01238345, 0x301dfe2c, 0xd021122d, 0x2da23bdb, 0x2ecd7298, 0x744264ab,
+    0x69c65829, 0x8bf7e996, 0x70047345, 0x6bc49085, 0xc84f99cf, 0xb627a1b4, 0xcf9b006d, 0x4ffe2a78,
+    0x19a4c142, 0x91f1d193, 0x04a0c31d, 0x60a2ee75, 0x70920e59, 0x2ed937fa, 0x86f71c36, 0xf1d40b6b,
+    0xd191904b, 0x731885fd, 0x9856a6c7, 0xedca49f5, 0x398675bb, 0x401e4ef8, 0xf3390184, 0x412481eb,
+    0x294ff76f, 0xb939aee1, 0xe3ba2f52, 0x7121f08f, 0x2569e498, 0x058fe508, 0x1de259ad, 0x958fc359,
+    0x6a6e8c56, 0xb2b961fe, 0xf255a226, 0xc295dc33, 0xc0a8a1e9, 0xb83f651b, 0x80817e7f, 0x0ad48570,
+    0xe46faa89, 0xac30cdae, 0xb67590fe, 0xc0510304, 0x33b52d0c, 0xe0164f98, 0xd8b9a494, 0xe73adbb9,
+    0xe012058e, 0xae195107, 0xa5fa1baf, 0xd7d1161f, 0x4f63e31c, 0x620e1b18, 0x2e3e4313, 0xcff21484,
+    0xa97dae0a, 0x4a8330c2, 0x45bf5763, 0xa82c3b9f, 0x944cb40f, 0x83db5f2c, 0x8d7dbdfc, 0x68fe8acb,
+    0x7ed9870a, 0x6b82528f, 0x5ed344c4, 0x86d013ee, 0xae3899e8, 0x48ad7bc9, 0xbb46a2c6, 0x5480158f,
+    0x078cb0de, 0x5057b760, 0x9c008e94, 0x4c2d28b4, 0x659bfc63, 0xc4d92c76, 0xc0675ca3, 0xedd0e7a9,
+    0xd5a91cda, 0x0ce7886f, 0xc6434c6d, 0x0c31f2e6, 0x5ff5557d, 0xd60f671b, 0x9d4c93b4, 0x715c5904,
+    0x8899e1a6, 0xd5deb99a, 0xad22ad5c, 0x2c5369d0, 0x731dea65, 0x33fd6168, 0xec7b9b3c, 0x6e8bd803,
+    0xe2718fb6, 0x6622ec3e, 0x64fe010d, 0x72c697c7, 0x4d625183, 0x1d2c4b05, 0x506c0c6a, 0x52dacd8a,
+    0x47f0fbeb, 0xc33d352d, 0x9f516461, 0x7227dc83, 0x786f5859, 0x983d6cf2, 0x67625080, 0x7f9e8d46,
+    0x645bd76a, 0x6e182792, 0x35d55d81, 0xc24b27e1, 0x7bc3ce2a, 0x1caa60c0, 0x8a7a5820, 0xff898de8,
+    0xb7f6631c, 0x9e4a415f, 0xad707333, 0xb3698744, 0xc14a1a9c, 0x1caa285b, 0x32cb1a16, 0xe2d16a2b,
+    0x753920a8, 0x86a34bf7, 0xc9f8e87c, 0x372bfc1e, 0xe0dfc8eb, 0x40191b21, 0x7673f4aa, 0x2df65b4b,
+    0x27a98248, 0x47fd9b23, 0x9e8f93a9, 0x1bc51300, 0x9ec46c09, 0x1bbbee7e, 0x97c5c28d, 0x665a628f,
+    0x9421834b, 0xc47e0d70, 0x9722f371, 0xfa62cd34, 0x6453ad15, 0x5496145e, 0xaad1cbbd, 0x324edea3,
+    0x885260c7, 0x1194df84, 0x7cf52b9b, 0x84ceec3a, 0xf146e8df, 0x7fdf3684, 0x848574e3, 0xf0162dea,
+    0x47e3764a, 0x12cdb5e5, 0xdf36168e, 0xe77d0d47, 0x95367b72, 0xbfdbcc3e, 0x041ed390, 0xd11dfda9,
+    0x8990b8a6, 0x9594d6d3, 0x9e413a28, 0x102bd45c, 0xf5cbc8b5, 0x685892f7, 0xb8959060, 0xcb2e6286,
+    0xae64bbd3, 0x17ec3fa3, 0xe5710ffb, 0x4de51420, 0xf5fb85c2, 0x6141a451, 0xa3ee995a, 0xd663a45b,
+    0xdafa6579, 0x3857d778, 0x1085848a, 0x7f18b710, 0xcc1f8e9d, 0xe2a68bca, 0x5eb72b11, 0xacbd375f,
+    0xa24a534c, 0xd7c72891, 0x767ad9a1, 0x63027378, 0x50f2f838, 0x21893281, 0xdf24a0b9, 0x6f087483,
+    0xc14359d6, 0xd39918af, 0xdc360a1c, 0x1947833d, 0x495d39e5, 0x76a312e0, 0x3aaa4fca, 0x16287f8b,
+    0x0a60adc5, 0x4b9ed0d1, 0xada81cfb, 0xb5b4afb4, 0xa520218a, 0xb5b29c41, 0x566adf3e, 0xf9ad7a84,
+    0x8b7f27c5, 0x54736270, 0xf368e8b1, 0x8d3beb86, 0x186d6fae, 0x11de33d2, 0xb204a8a0, 0x3d9da126,
+    0xfd0e3043, 0x0bcc090a, 0xf9772558, 0x70d68a7e, 0x5fd62e75, 0x0e4fdd05, 0xbaa966eb, 0x60eb9342,
+    0xaceda575, 0x9840722a, 0x996db47f, 0x2bb7d7b3, 0x1f440cda, 0x3c658af8, 0x7b946ce4, 0x884afcd3,
+    0xf2e00f7d, 0x14a85cc9, 0x7d0aa6f2, 0xeed592f1, 0xae0b867d, 0x2e67c1f8, 0xb63aa238, 0x08de6063,
+    0x0058b96c, 0xd8358860, 0x332b0856, 0xab9130a5, 0x1bcb92b1, 0x9747578f, 0x2216af49, 0x7deaba34,
+    0xc75b7df7, 0x4ea452d7, 0xf88cd25d, 0x18eba42e, 0xcda491ae, 0x69bcbdba, 0xe317d7d0, 0xc854e50d,
+    0xc35c5824, 0xc13a8bbc, 0x685dd6ee, 0x8ff2a1c8, 0x1b2ec5cc, 0x0cec4b72, 0xd10baa55, 0x59097171,
+    0xdaa96019, 0x5b15e82a, 0xcbb4124c, 0xfab6f134, 0x31bda02f, 0xd2e10b7c, 0x4bad5d54, 0x0684efa8,
+    0xcefd89e0, 0xd7e7fc48, 0x925cd086, 0x49d24ff4, 0x5e94d74f, 0x60ccd4fd, 0x437b4fe7, 0xc55e8770,
+    0xac41ac35, 0xf42455d7, 0x05bab101, 0x1581bc27, 0x62ef8952, 0xc8759278, 0xbb57c3b6, 0x4ca5868e,
+    0x588bc21a, 0x1b184310, 0xfebeaf3c, 0x6432df55, 0x5ec291c7, 0x1ba853bd, 0x8ac8b1cc, 0xe1a00f86,
+    0x08c5c36b, 0xaffe1380, 0x04afe830, 0x04f8c0d6, 0x265938dc, 0xf075964c, 0x0e269266, 0xd6fc754a,
+    0xe1214122, 0x853495cf, 0x2df7dc1c, 0x11d3a1bf, 0x71cb10bc, 0xeade35ac, 0x0c3b1dfb, 0x8c93d918,
+    0xd960e964, 0xa3b7d727, 0x1acbcbf3, 0xa132b310, 0xc808b797, 0xb1f7fd48, 0x91fdff7f, 0x61b4fe40,
+    0xcbb0455b, 0x3b1fb8a1, 0xb5ad7c6b, 0x6440c7ba, 0xc17a2488, 0x554f9a02, 0xa98f4ac8, 0x06b3c1d7,
+    0xb0c75768, 0x40cdda34, 0x345c9dfc, 0xc10ba822, 0xdb4dc00e, 0x525bfde0, 0x1db7bf95, 0xd46fdc78,
+    0xe96cffce, 0x91db8508, 0xb6360811, 0x33c37768, 0x6187473d, 0x9b965309, 0x472b9552, 0xcd1a3317,
+    0x2a9fa5f3, 0x7317431c, 0xc4cbf585, 0xe30ab8a0, 0x3086cbda, 0x9c5a9e23, 0x07c5c606, 0xc1b8f86b,
+    0x9676885f, 0x0d48cf06, 0x4f5869ba, 0xc1651cf3, 0xdcfba9e9, 0x9f67e378, 0xbf81897b, 0xc0d56428,
+    0x795b6e65, 0xb8efb58a, 0x6fb85b26, 0x88dd4a93, 0x7a71dcf4, 0x177430a8, 0x53d27345, 0x79788166,
+    0x7bd1df0b, 0x86edd86a, 0x8e18bd94, 0xaa74abaf, 0xe65d2652, 0x926b42ff, 0x02596421, 0x161b62d3,
+    0x454c693f, 0xf14b6a99, 0xe4a57b5e, 0xd62e34ed, 0xbd5f7708, 0xed3b513e, 0xff8b0ffb, 0x108ca528,
+    0x7d810c52, 0xc7596a0e, 0x9bd1dad1, 0x9e095b3c, 0xe2981181, 0x59c28642, 0x4e0599d1, 0x51732c6a,
+    0xc401c964, 0x23732382, 0x70f16aca, 0xd40cd46d, 0x23819747, 0x982c6340, 0x54c954b8, 0xc3ff900f,
+    0x4f787444, 0x4451c46a, 0x5c3256b1, 0xc5b0d164, 0x9c81b9fc, 0xa98ed823, 0x844b9032, 0xf6777ee0,
+    0x85cea443, 0xb031483f, 0x680ed48f, 0x81936051, 0x222af49d, 0xeb954020, 0x357dad4f, 0xf5e3a71a,
+    0x611e91ff, 0x5976c446, 0x1d8cc163, 0x111241eb, 0x72fd84fd, 0x05079137, 0x81ace6fc, 0x8a70b789,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000002147483648 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0xd49a784a,
+    0x00000000,
+    0xdf0befc1, 0x9c082bf0, 0xfaa023e0, 0xdf9e8a3c, 0xa4b3c640, 0xbe17a887, 0x3b036dc9, 0xb508146a,
+    0xb11195d5, 0x42fcd1c1, 0x8f050dca, 0x66b87e49, 0x2b928810, 0x220c2dad, 0x4e3ac7f9, 0x11bcdd16,
+    0x88ef1a23, 0xdc57c310, 0x2a027a8d, 0x4499af15, 0x1e5a9c5a, 0xbd3e6831, 0x3f631887, 0x94954dbd,
+    0x79caf516, 0x84a95ce9, 0x78e29fdb, 0xdf87a9d8, 0xba9f3926, 0xb1bd5698, 0x42d2ab11, 0x21ae01e5,
+    0x35855f4c, 0xe550e0ee, 0xc5665c05, 0x6a98365e, 0x8200f0e6, 0x5d0f027b, 0x82f59db4, 0x499d5958,
+    0x5dcd344c, 0xa2639de3, 0x7f29ea81, 0x625068ee, 0xcde07402, 0x1012c073, 0x6a2c34c1, 0xe863e7bb,
+    0xb41aa7f1, 0x74f750c9, 0xd16536a7, 0x4c9c568d, 0x49f3d024, 0xa0e30fdd, 0x37dc7598, 0x6a9c6e30,
+    0xd9bf97b9, 0x57afb6c5, 0x5197ba0d, 0x5734f290, 0x492495bf, 0x73683656, 0x99b62ccb, 0x83ebb079,
+    0x5f0485ed, 0xa92e812b, 0x13f32587, 0x1df673b8, 0x4febef61, 0x69a2888c, 0x8019c5fc, 0x0bbdfae1,
+    0x17bfc354, 0xa95c15ae, 0xfdc323d5, 0x5fc11fdd, 0xd2ae29d6, 0x6c0cd796, 0x3a4f552a, 0xc42bc039,
+    0xa23f7aa8, 0x40289068, 0x85b3b03c, 0x9a50d492, 0x6a323944, 0x28301565, 0x28ba0d6e, 0x4ab15daa,
+    0x05778564, 0x109c9fc2, 0xfcad12c0, 0x41106d0b, 0x68baa7ad, 0xa3d992ab, 0xc497873a, 0x9cab1658,
+    0xee27b392, 0x488b93bc, 0xa3818bc9, 0xbbcbdeb4, 0xc6df43c1, 0x30616973, 0xa94f544c, 0x77219d3b,
+    0xf5c848a8, 0x6c92d9eb, 0x7c41dfef, 0xee91dbab, 0x13f5b88b, 0x3d395183, 0x4220d635, 0x2e59834a,
+    0xf8bcae4d, 0x21fbff86, 0xd0c5b99c, 0x0eee896d, 0xbd1579ce, 0x2db52848, 0x6005b3ac, 0xb1ef5bb0,
+    0x6f2df678, 0x7cd0b33e, 0x7fff9687, 0xa8b6e9ad, 0x0ad75495, 0x0203304c, 0x95c1c476, 0xd63257e4,
+    0xaf59e5b8, 0x2553d624, 0xde919420, 0x2f55ee27, 0x9598576a, 0xea336b06, 0x7df69034, 0xece83b1e,
+    0xa9f3519e, 0x1464d431, 0xe10050b5, 0x5b85096f, 0xc35da75c, 0x1eff03e0, 0xc5cf5877, 0x92cae31b,
+    0x2faba0b8, 0xeab7a995, 0xd3a59489, 0xf14fe4fb, 0x9d4482f4, 0x50105279, 0xb2e3c480, 0xf24564c4,
+    0x29573657, 0xaef44104, 0x032f25f4, 0xc479ade5, 0x6b7fffb5, 0x10daed0f, 0xe716521e, 0x93e7cab0,
+    0x95a34ead, 0xe91ab6e7, 0x33be66de, 0xc945b228, 0xe49eca81, 0x7877ddbe, 0xdebe7247, 0x307fd0a1,
+    0xf428272a, 0x1b8e4ec6, 0x6d96606f, 0x2fddf611, 0x11e5efb5, 0xce814e4a, 0x30f8b653, 0x1d65745a,
+    0xbc8f2cb0, 0xe08d2b4c, 0x576b6b9e, 0x6d598fce, 0x300a10f1, 0x69bc907f, 0x6dd2e9b1, 0x28def088,
+    0x2f25b375, 0x0cf93ece, 0x60ac5435, 0xfccb51a7, 0x2696ec82, 0x87ca356c, 0x91c9d386, 0x5e553b37,
+    0xd2619425, 0x42bd9b4c, 0x83e0d3ab, 0x9c4a21a0, 0x7d872fdc, 0xd9f2a4fc, 0xbe7bcddc, 0xfa70db5d,
+    0x9e5254b0, 0xd04e9aa5, 0xfdb4888b, 0xe7257f6e, 0xed0c9e73, 0xd4f12405, 0x1ac2afa2, 0xf5902e61,
+    0x256d7704, 0x2111f5c0, 0x281bb7fd, 0x6a4e0837, 0x20c107c6, 0xd1e21dc5, 0x31df3a7c, 0xf933af4b,
+    0x635a3520, 0xd8c658e1, 0x54ab748f, 0x11e83a3c, 0x53f24452, 0xe2cd35a3, 0x7d3705e4, 0xe7b706c3,
+    0x11e67cca, 0xb29615a5, 0x2ebfbd18, 0x3d876274, 0xe48253d2, 0x70d29314, 0x8c8aa9d6, 0x13b216f0,
+    0xcf809548, 0xda18dfc6, 0x73410842, 0x60b1a7e8, 0x37030f6a, 0x2f67b207, 0xe2bac002, 0x2fc7314a,
+    0xd568276a, 0x67f3b612, 0x07fd0dd3, 0x8df680e0, 0x2498c899, 0x2687dc26, 0x226dde52, 0x75dc68ee,
+    0xd1eeab19, 0x411c8fbc, 0xdf8dade0, 0x1875ca73, 0x517432d8, 0xe29589d9, 0x961ef5c8, 0xf82eac0f,
+    0x45a40ce7, 0x0f25048f, 0x9062e121, 0x00ceb7b7, 0x1315fb96, 0x67e0f2ab, 0x2206d5ac, 0xda947bbd,
+    0x2a51532c, 0x0d21a71d, 0xb4bf99c4, 0x595d580f, 0x024e76d4, 0x10cab8c0, 0x7930a9ea, 0xeacf9571,
+    0x435438f5, 0xf6cc78cd, 0xd1fe4f28, 0xa2123f6c, 0x77c40e51, 0x42c7e0b6, 0x3af70b2c, 0x3cadf40a,
+    0x07a16b64, 0x59ed5497, 0x1d07a06a, 0x781e15a6, 0x79732ef8, 0xbd352ba1, 0x7497ee1b, 0x8ebd17a8,
+    0xbd859cfe, 0xf0f29466, 0x12bbbe15, 0x871c2f43, 0x7202645e, 0xadc198d6, 0xdaac4643, 0x2e461bbd,
+    0xa022bc2a, 0x999e07f2, 0x9153ff41, 0xe4e5b06b, 0x8b36b2ab, 0x5732083b, 0x2a08d910, 0x5bcbfe67,
+    0x25f7357e, 0x609bab63, 0xf1bb0ab7, 0x93bfbd6a, 0x7d1f616b, 0x0a129033, 0xd68f0576, 0xfdffc6ee,
+    0x4038aab6, 0xff6d6355, 0xa9f5de7b, 0xcee43596, 0x9eb3c1b8, 0x3ca35443, 0xa8431f96, 0x5b45dccf,
+    0x53c9d864, 0xc8040f33, 0x92a83777, 0xf057a456, 0xf96ef790, 0x0e2e39d9, 0x625b8ba1, 0x0e533f35,
+    0x9b1272cd, 0x98c5c236, 0x1884ce62, 0x9c409b20, 0x8314be7e, 0x8a752b44, 0x2ec39d67, 0x594a4f01,
+    0xa41e0a7d, 0xa0975794, 0xf2909f67, 0x0cce5c64, 0xbf142ece, 0x4642b320, 0x410688eb, 0x24ecf990,
+    0xc9219d1f, 0xeba7803e, 0x56285bb8, 0x6db89e2b, 0x2fa7d90c, 0xb38230ed, 0xb0b590b4, 0xebac4049,
+    0x726faf7c, 0x66781ee1, 0x79838c4d, 0x78a5f3a8, 0x1f09a237, 0xf28177f7, 0xf8162d45, 0xb562ccd0,
+    0xed3e323f, 0x59d08cf1, 0xd2f3f19c, 0x96cce7cb, 0x3b8efabe, 0xfac6876e, 0x622deb81, 0xf19fafe7,
+    0xcf763b41, 0x615df701, 0x60437726, 0xa9583485, 0xf3f701db, 0x462215b4, 0xe2fbaf91, 0xeb4cf0f8,
+    0xddb316ba, 0x0548e399, 0xc4d8f669, 0x4468caf9, 0x28b7221d, 0xba46bbb3, 0x816ae129, 0x12769fa7,
+    0x431ec14e, 0xca9418db, 0xb019904b, 0x8045ae67, 0xaaff931b, 0x158b9831, 0x9692c154, 0xa89207d7,
+    0x0947b241, 0xf5c3fb84, 0x7454b631, 0xc297b895, 0x14a85e50, 0x6d575fed, 0xc46379d9, 0xf6fb6711,
+    0xefaa55be, 0xc853945f, 0xef47204f, 0xabb6e29b, 0x65c450b2, 0x74fe29ce, 0x657bc718, 0x91d84600,
+    0x8c619ec0, 0xf08603e8, 0x850892f1, 0x2126a118, 0xc90b211e, 0x39384c75, 0x8425bbfa, 0xd8855139,
+    0x515dd46f, 0xabbcb731, 0x7bfc7ad3, 0xf0adeca0, 0x9bc64e72, 0x5a6cee98, 0x6fe30af0, 0x56942344,
+    0xdd7b0a33, 0xb9550156, 0x6794c037, 0xcb6d5bac, 0xb38d8ae6, 0x341fc51d, 0xb935e5d5, 0xc0050d76,
+    0x65277cf9, 0x6ad56a9c, 0xf286a7c7, 0x8d8d70b0, 0x2b249e65, 0xa23d65b1, 0x3816b308, 0xbaae9af6,
+    0x3ec71226, 0xb7547083, 0xa57ce5a9, 0xfcb0b18f, 0x92e5319e, 0x96b76b75, 0x8bdd789f, 0xb2dea1be,
+    0x4255391e, 0x2fa929d9, 0xc30b223e, 0x35c5a44e, 0x047e2b99, 0x564eb8f0, 0x422e2014, 0x5455be1c,
+    0x6262e6e7, 0xc66e0b03, 0x53993c88, 0xdd3892ac, 0x4cd829df, 0xff679d3f, 0xe0d49e02, 0x5e8221c4,
+    0xeab6b3d1, 0x8b9e492f, 0x970fd023, 0x71cd990a, 0x5e3d8f61, 0xe35849ee, 0xa3f3cdff, 0x78b4a2ae,
+    0x07954115, 0x511a767d, 0xbf4b9c00, 0xdadc7226, 0x59989d77, 0x23a1b7c0, 0x0782beba, 0x599b2296,
+    0xde7abb4a, 0xc90636bf, 0x31f3259e, 0x59b69fd1, 0x66be9706, 0x78f818f6, 0xa4ed3395, 0x1f9850f5,
+    0x96665f99, 0x24af452e, 0xec9c5736, 0x15e9acaf, 0x037e085a, 0x6019ef71, 0xd7a1070b, 0x108584eb,
+    0x2faa525e, 0x94de52fc, 0x9109c12f, 0x689aa547, 0xafcfd6fd, 0x198e36a7, 0xd4fa53f9, 0xb1806ec7,
+    0xb203bd25, 0x3e230a52, 0xf216f049, 0x03209a30, 0x974ccd04, 0x813f27de, 0x750aa982, 0x6ba72fc4,
+    0x63414c92, 0x9a846169, 0x542a14f7, 0x4353a3a3, 0x77cfe91b, 0x7ae44d9a, 0x5caad7fd, 0x2610b995,
+    0x775a58a9, 0xfbc0d4fb, 0x2601feb9, 0x220c758f, 0x0386955d, 0xe2b859d7, 0xb5300544, 0x40de94e0,
+    0x991d2ec6, 0x1beda7ce, 0xab9ea0f5, 0x0be692e6, 0xc2f33867, 0xff888218, 0x8d52c085, 0x4bda3833,
+    0xed6518d5, 0xac7fb20c, 0xdd27bc62, 0x3c818fba, 0x16547efc, 0x2c33b668, 0x45f3b339, 0xafd2bd4a,
+    0x81820963, 0x2d1eb603, 0xacec9a7f, 0x27440571, 0x90751bfd, 0x261740ba, 0x4b2b40ea, 0x229e1566,
+    0x5d97c3f4, 0xdf344b1b, 0x239de9a8, 0x5fb0c2d6, 0x6ce0165c, 0x5ad34308, 0xcc1806e7, 0x983c2df1,
+    0xc91d7aa3, 0x4cf8fea7, 0x5f9e8736, 0x981e03f0, 0x01a44108, 0x5ef902d7, 0x37242530, 0x0307487d,
+    0x990b0f2b, 0x286cbd25, 0x68ac6507, 0x5b61ce03, 0x239b64bd, 0x1dfc8dfb, 0x16bc275d, 0x27bfab92,
+    0x02301e95, 0xd5d42331, 0xa841688f, 0x52f3b289, 0xa237c0d5, 0x6526ae82, 0xa7cfe913, 0xf241363d,
+    0x52264cc2, 0x84db8649, 0x90065e48, 0xae9e256f, 0x594cfb00, 0xdbacbe0b, 0x98c3a76c, 0xa998106c,
+    0x7dab2d73, 0xa73ccca4, 0x4065eb28, 0x09b5b5bf, 0x8cb40a10, 0xf1177971, 0xa5c36b2c, 0x6ef8690d,
+    0x83a0bbc8, 0x3343e025, 0x8565f7ba, 0x8526adb2, 0x3856ad5a, 0x015eda1e, 0xf030c539, 0x5bda6764,
+    0xc7e45149, 0x846c64c2, 0x4cee16b6, 0x25ca054d, 0x733c872f, 0xbd96c9e3, 0x720582c5, 0x2d94f3d0,
+    0x20776c5a, 0xfcff715f, 0x911bbfdf, 0xac4100da, 0xeff19929, 0x3ec16237, 0xf0d51571, 0xf62cf151,
+    0xb45fb449, 0x7396f60f, 0xb3c19c1c, 0xea451a89, 0x5935cb1e, 0xc2376c67, 0x8a833c69, 0xee58844e,
+    0xe2ef9d8c, 0x44433981, 0x0144342c, 0xa5b8f8ff, 0x78416623, 0x23a4c636, 0x8bf73c5d, 0x59e9831a,
+    0x61cd0e07, 0xa83338e5, 0xe113362b, 0xbffef087, 0xb977f04e, 0x18aaeb63, 0xfc396cc2, 0xf68dba3d,
+    0x6e88f1c2, 0xa2cca03a, 0x94e89c7b, 0x13af13b7, 0x9e3c66a0, 0xc3dba2e2, 0x324db85d, 0xe83e6d8d,
+    0x507412b6, 0x16e63895, 0x6d3eecc4, 0x5a29630d, 0x1fd26d65, 0x8de2efca, 0x78dbc065, 0xb3d3134c,
+    0xba5e7bb5, 0x1281a894, 0x67d89eac, 0xb404b38d, 0xd3d710f3, 0xb156ee3c, 0x3e7cf3cd, 0x8651ebf8,
+    0x8f9b2653, 0x6f7c8a36, 0x72dac2fb, 0x644d8c02, 0xd6baba59, 0x5346f57e, 0x79e9d1fa, 0x1912fc8b,
+    0x4e33908e, 0x7328ac4d, 0x314e3186, 0x4af5ec54, 0x245352a8, 0xd520ff8d, 0x2c969be5, 0x4c4b91ed,
+    0xf4411cf5, 0x587be3fc, 0x0a988166, 0x22ccb1d8, 0xbd90be9a, 0x81b503be, 0x54e01545, 0x3ddfdf2a,
+    0x18a46527, 0x28748fd4, 0x1ae82ceb, 0xf32be245, 0xc9d43925, 0x65f683c8, 0x7f2a7e70, 0xf94fc6ed,
+    0x56394978, 0x1fa050f7, 0x49aa3f3d, 0x5e4a97d3, 0x332ecac9, 0xbf931f2c, 0x3ca613f4, 0x2ef09ad1,
+    0xeab77545, 0x62887d23, 0x0c18488f, 0x17e98945, 0x9a0cfe96, 0x7e153e60, 0x7b05bde7, 0x82cd8a4d,
+    0x87e8d528, 0xa2d88cef, 0x36209647, 0xede6f7dc, 0x8d857144, 0x5798fe2a, 0x33d2a311, 0x9955f7e4,
+    0x4adf0502, 0x0a47fb59, 0x9be551fe, 0xaeb0542c, 0x5b8e92e2, 0x62f180ee, 0xb91a81a4, 0xe46cf3ac,
+    0x0d9b13dc, 0xa820fd8d, 0x1aa7d7cc, 0x1e00fe1f, 0xd516802b, 0xcafdcf50, 0xd8ebc2c8, 0x83bfbfd8,
+    0xad9c39fe, 0xb096af76, 0xe9cf8ec6, 0xa6175318, 0x9ddc6d75, 0x6323ff37, 0x3f2007c6, 0x1aa0046c,
+    0xd5c9dbd2, 0xe4844a4f, 0x84d8e1ef, 0x9796bfa2, 0x074c7a9e, 0xacfbc1cf, 0x29c7bbb0, 0xfb5cde28,
+    0x19bfd775, 0x28e96f66, 0x71da55e4, 0x5fc3a10d, 0x9f4fd3bc, 0xf9d5b573, 0xa01be065, 0xdbd99150,
+    0x2720a093, 0xdbae2f71, 0x52e413c1, 0xc16a0ffb, 0xbcddde5a, 0x8fbadb50, 0xaea1fed5, 0x99446e65,
+    0xa13e76cf, 0xf89204f1, 0xee3dc111, 0x43a337ea, 0x7d3e8dc0, 0x4afeb2c1, 0xf48c130f, 0x3d27e660,
+    0x7c90ceaa, 0x7b4ac57e, 0x2d0d325f, 0xda73ddcc, 0xb2a155df, 0x9117383b, 0xff80ca0d, 0xae804b6e,
+    0x68bf67c5, 0x2909fceb, 0xa26bdced, 0xfe77e583, 0xd4efe388, 0xd40bd653, 0xa1643b2e, 0xebcd55f7,
+    0xdc1a9b65, 0x2bb2f68a, 0x9eafd0a4, 0xbcf9a223, 0xc6a57291, 0xaef1ad8f, 0x8ae517f0, 0xa6995756,
+    0x6d30accc, 0xb387de34, 0xc6956ee7, 0x54dfaea3, 0xc8dbefac, 0xd15dab5a, 0x1da9046e, 0xc2c77eeb,
+    0xd852a135, 0x540038f2, 0x1a3504e5, 0xc25e963c, 0x49d91113, 0x7dcc71d9, 0x6ea843b5, 0x0db35314,
+    0x73cbbebb, 0x6ee115ca, 0x95d58cb5, 0xff808c5d, 0xc3f32aa1, 0xcfbde942, 0x0e26da34, 0xe78e6625,
+    0x0ebc979c, 0xfb2544ad, 0x06abb7bb, 0xdc1531bd, 0xd89fa65a, 0xfbcc7d08, 0x42f52104, 0xb5c6362f,
+    0x8e87959b, 0x3a784cac, 0xc961e78c, 0x5eb3c341, 0x33d940de, 0x4bef5b0b, 0x00efaf58, 0x4d76adef,
+    0x115589ff, 0xbbb393c8, 0x4d1ad095, 0xcaa0dd7d, 0x0f835671, 0x0845d847, 0x9587aecf, 0xe1dcbfc4,
+    0xdc9bb51b, 0x39394ea8, 0x76c8beb1, 0xa7aca673, 0x6fb1cd0b, 0xf28a0776, 0x34f2f33f, 0x32382f2c,
+    0x72c67eff, 0xff18c2cc, 0x265cb594, 0x4aa36d49, 0x8fa27f33, 0x59a77c7c, 0x2ad65c59, 0xeb999ee7,
+    0x30d0bf19, 0xb33b737d, 0xbe763fde, 0xfc8e3304, 0xe2a3ce85, 0x92979c5d, 0xa784948e, 0x42da5a12,
+    0x5249e370, 0xb69be7bf, 0xd4c3e8a6, 0xbad8eadd, 0x314158bf, 0x79f111b0, 0x7bb911fa, 0x42d7199c,
+    0x2e37b986, 0x88f2609f, 0x23895b38, 0x4a40fd01, 0xccf3b4f5, 0x3a91ceec, 0x0d98a5f2, 0xb1360aa6,
+    0xa9e374cf, 0xa9190353, 0xeadc723d, 0xb2df1770, 0x662814db, 0x55368fe6, 0xebfe5dad, 0x7c3a2655,
+    0xd4f628d5, 0xf298dfcc, 0xc632eef9, 0x9a51979e, 0xf1304395, 0x64543a53, 0x2ab9042e, 0x406529d7,
+    0x2887ba1d, 0x63d7b1fd, 0xef411d97, 0x4b73912b, 0x6c2f4667, 0xe0242f55, 0x93a8b028, 0x5b6fcfa0,
+    0x2ab601bf, 0x72de3292, 0xf627b3ca, 0x634b78fe, 0xfcfd678c, 0x1ba94a89, 0x70da266d, 0x3b8a2090,
+    0x62948c4e, 0x267fa562, 0xb4ec37e4, 0xedfb45ae, 0x03f8036f, 0x4a19e748, 0x9243cbb2, 0x75b1faf8,
+    0xabdbdeb9, 0xc5070d3b, 0xa4e2de8d, 0x1a02aca4, 0x519a96b3, 0x2e5e91fc, 0x21162315, 0x8a114b6b,
+    0x260ffc19, 0xa1af301a, 0xc1f8bf60, 0xca87922d, 0x5978c17d, 0xd4c60bbb, 0x96a33270, 0x8f6a21c6,
+    0xe9e222d0, 0x7b70b61a, 0x3d28256b, 0x005a9976, 0x4dbf2797, 0xfdefb08c, 0xe3c160b7, 0x52a86335,
+    0x6112b252, 0xf3f97c5f, 0x5bf504d9, 0xcee80ab7, 0xf9ebcdb4, 0xb767e773, 0xd356250a, 0x0b13ac10,
+    0x2d729846, 0x97bd51a7, 0x98e5f001, 0xc038b0ba, 0xb8cdbdd8, 0xa1210324, 0x2b27df48, 0x58534253,
+    0x13d3690f, 0xf8945df8, 0xd9266527, 0xb5a0ab2d, 0xb2d61b71, 0xbc4f01bb, 0x254bcc28, 0x62978558,
+    0xfa7f1e62, 0x6b2f973a, 0x2f9cdaa2, 0x44691cde, 0xa518656e, 0x5fc7958c, 0x19a14867, 0x44dfcec4,
+    0x9ac3f272, 0xb75bbc66, 0xa764225d, 0x69e455b5, 0xef23e4fc, 0xcc74c71f, 0x58ef43b9, 0x30b702b0,
+    0x42ba3a44, 0x144e4db3, 0x98e2f8a8, 0x10358d86, 0xfa8a3493, 0x506d2d1c, 0x8cedb7c1, 0x9eb06f16,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000001073741824 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x6a4d3c24,
+    0x00000000,
+    0xeef4b7d6, 0x66e3ee22, 0xf29eb8a3, 0xaabb8161, 0xf745eb5a, 0x01133b5d, 0xee5e8ee9, 0xe9083227,
+    0xa909d876, 0x599eccaa, 0x7e0f0937, 0x8e275e77, 0x75ac979f, 0xb35e7454, 0x10e7b8ae, 0x6f1df364,
+    0x307cb60d, 0xebde2e42, 0x7f3cdc0a, 0x7ec76939, 0x88d6aa4e, 0x4ce523aa, 0xf1a3cd2c, 0x73927e2a,
+    0x61df523c, 0x15afe138, 0x3fe0c283, 0x40710bcd, 0x6963c495, 0xe7f4592d, 0x7bfd2f00, 0x26ebcaca,
+    0xa982fd94, 0xd3a29fde, 0x2112f42a, 0xb65ca733, 0x7bd97be7, 0x791f7047, 0x7e2840e7, 0x0ef034ef,
+    0x6cb0af1e, 0x9b8a0b2b, 0x5af731bf, 0xe627459d, 0x2cfa809c, 0x70424f09, 0xb5e38918, 0x3ea8925f,
+    0x293b34eb, 0xde3d103d, 0x934fa9d1, 0x6cb18209, 0x97160f78, 0x2f326f20, 0x0158f620, 0x9083a5c9,
+    0xf27e6f08, 0xf7543c0a, 0x5536b5d7, 0x45a170c7, 0x0f699513, 0x7fa8fdc7, 0x142b5f96, 0x74f7b173,
+    0x5ed4ac26, 0xb93611dd, 0x3a9f5647, 0xc13c59d6, 0x87450085, 0xcdec4388, 0xf444dfbb, 0xeb16f867,
+    0x1a5316f1, 0x47b262c1, 0x46e1f1df, 0x61ea6517, 0x5f16f480, 0x2bf87dc1, 0xb96bd8e2, 0x83503aad,
+    0xac193b9a, 0xd881bfbc, 0xfd02abab, 0xadf05515, 0x45d803ad, 0xd571f66c, 0xa8695f8e, 0x955210d5,
+    0xdae6060b, 0xe7f0fb60, 0x63343aa8, 0x8c1d96bc, 0x156d1f2f, 0x80bc311c, 0x4095ad81, 0x26dce050,
+    0x39e57952, 0x0fe9f106, 0xf45c93d9, 0x3697df1e, 0x5ec53170, 0x6bd7782f, 0x4b2f064a, 0x2c0468a9,
+    0x1c7635e2, 0xce2da134, 0x8662df94, 0x69c5ca4e, 0x80fe4455, 0xd9b650c2, 0x006ddd2e, 0x9f414334,
+    0x7d5713d9, 0xf7cb3ff8, 0x5b45717b, 0xe2408cc5, 0x3532e7b4, 0x38b5f202, 0xf89721da, 0x85e023e4,
+    0xe7897d97, 0x67ae73f4, 0xbda8951e, 0x354e633c, 0xdf04b89c, 0x11289be2, 0xdd2f2c6f, 0x057b325d,
+    0xad9ab982, 0xfa1b733e, 0x1ddebdc4, 0xb019569d, 0x79ccabc4, 0xd981a4b9, 0x1290a8f7, 0xafb90270,
+    0xfdc28136, 0xef0071bc, 0xd31ce66c, 0xde46fa14, 0xed15912c, 0x9add9462, 0x996d5b45, 0x8983817d,
+    0x3b2ee333, 0x546e3960, 0x7592fe4d, 0x4a159c74, 0xe9b083c3, 0xc2750c77, 0xcffdbad8, 0xd575f94f,
+    0x93871f0e, 0x928c13ab, 0x88d23904, 0xe7da026d, 0x61f81bf5, 0x7f3f29fd, 0x3659ac63, 0xd3ee62e3,
+    0xb014f9b4, 0xd2c1c372, 0x6adbdf26, 0x460b4b89, 0xf4100b08, 0xdd43e31b, 0x33f882a5, 0x276fa120,
+    0xee0308a4, 0xa520291e, 0x7ecc0d58, 0x0abcec42, 0x3b29fa17, 0x2ae0211a, 0x0b45e784, 0x8ba8e86f,
+    0xf7efe34d, 0x564b3da5, 0xe7788fda, 0x264db238, 0xf9676c36, 0x94ee2e82, 0x2a545308, 0x5fe9ffbb,
+    0x74620343, 0x1391b356, 0xc5ace70f, 0xad60f022, 0x668bbdef, 0x6830ee05, 0xd1581dfe, 0x9a855044,
+    0xee271bbc, 0x27e4b823, 0x6a90235f, 0x3af3b656, 0x746546b7, 0x3dcd9b45, 0x8f70c702, 0x92a098f1,
+    0x84fe17c2, 0xb9ddc57e, 0x3e52b1f0, 0xbf3b0dc3, 0xb9291f02, 0x496ba7b1, 0xb4ba4438, 0x47c1b089,
+    0x62b8ff08, 0x9de0d117, 0xc2dedd5b, 0x801a62de, 0x4ddbe02e, 0x9dad5e10, 0xb82ddc27, 0x51d5517d,
+    0x6a5928a6, 0x4e4cbfe4, 0xc7032f4b, 0x4238b5b8, 0xc7196d5f, 0x147f129b, 0x5dd02e47, 0x20f47a3d,
+    0xa65acc9f, 0x9a3cfe12, 0x4fdcdf59, 0x2c89002d, 0x00123a41, 0x172c9aff, 0xb8bc3a1a, 0xaf0e5b45,
+    0x95ad83a6, 0x3c38b0c0, 0xf0f4830e, 0x84b9640e, 0xdcfb3069, 0xb3ff376f, 0x6895962a, 0xd158ad3b,
+    0x419863f4, 0x1d4e30cb, 0x0c46dc68, 0x300c522f, 0x4163d388, 0xe38ece81, 0x2d3a9769, 0xad047403,
+    0xe88d2e75, 0x73576c72, 0x432bc769, 0x2d132c98, 0x475a3c82, 0x6c67f261, 0xcad7194c, 0x916e8e1b,
+    0x08a48047, 0xe76dd514, 0x4a27e94c, 0xcec90859, 0xf257ffca, 0x12316532, 0xf798894e, 0x161705b9,
+    0xca156b94, 0xaa62a4cd, 0x15b12e03, 0x9835da7f, 0x4475f683, 0x252c5de3, 0xd135460d, 0x324c9243,
+    0x7ec2e404, 0xbf77ef00, 0x75c25f7f, 0x923ac1b3, 0x1e17b35c, 0x2a731d8f, 0xc38a5e1d, 0x572b3a3c,
+    0xa84b2e45, 0x3d4e42f2, 0x920a8b83, 0x43c32501, 0x11044d18, 0x0250ce5b, 0x97df5941, 0xa5fab5fa,
+    0x46ad2e7e, 0x51a401ca, 0xd502d355, 0x7c1d11e0, 0x7072484f, 0x065d748a, 0x3cea48ca, 0x9e3e1502,
+    0x8eb59570, 0xfaebf427, 0x47634185, 0xe05a2969, 0x5c1d77c6, 0xa5da18c9, 0xacb88ded, 0xc898b5f9,
+    0xf883e1b9, 0xef36ead4, 0xe2f3c67a, 0x611905be, 0xd4965b68, 0x02288c0a, 0x6b42bcdf, 0x7d0c215a,
+    0x6e2276cb, 0x466895fd, 0xa84d585f, 0x50e68480, 0xd1d3a021, 0x1f01ce35, 0xf6303b22, 0x93da04b5,
+    0x66385da3, 0x478250ce, 0x0898aa3c, 0x5ce2bc7a, 0xf120657a, 0xf94e91bb, 0x5de07b15, 0x45de2f65,
+    0xc9b0af6d, 0xabdb2fc9, 0xf20b96d7, 0x998411ff, 0x9ececbcb, 0xcec8853e, 0xb2b4b648, 0x42648163,
+    0x3733aaae, 0xe958f79c, 0x9dc49410, 0x1923712c, 0xb117a26f, 0xd51ce850, 0xca2dcc6d, 0x1134e874,
+    0xce94267f, 0xc8710dc4, 0x1e2c6d8c, 0x513c392c, 0x667b0a9d, 0xac0b092c, 0x76af8fbd, 0xe79d2e96,
+    0xd392df09, 0xc53b68ee, 0xcfcdff62, 0xce0b6613, 0x4ede581f, 0xae515653, 0xf19b6377, 0xd399f0cb,
+    0xd7346c70, 0x8536b36f, 0x054db8a5, 0x84c0e210, 0x7c4f7471, 0xf558a156, 0xc5425a9b, 0x943570e7,
+    0x246f01c7, 0x8904fac4, 0xce10b1c6, 0x731ab9c7, 0x5750ab11, 0x8ed175d7, 0xb1ad5443, 0x2b90226c,
+    0x7b317ad6, 0x0727adba, 0xd5c6d8f7, 0x128c22b0, 0x28014410, 0x49fc6e35, 0x00412e86, 0xa403aaa2,
+    0x6e936d47, 0xb8df4cfe, 0xc92dae57, 0x899661d2, 0x255b8e53, 0x8f0a391b, 0x146eecfb, 0x4f7f0f35,
+    0x17721c45, 0x6d06883e, 0xe0819ed9, 0xa2217850, 0xca6ccf99, 0x3a2afbcd, 0xee20ecd2, 0x57ae7697,
+    0x791aa393, 0x5bb1b9cb, 0xbe1e27c0, 0xf439a0f7, 0x415feeb2, 0x297668a3, 0x43d71f99, 0xb4760b73,
+    0x7f9cfa28, 0x3b8ea703, 0x0a25d791, 0xdda0e33f, 0xf555c34b, 0x82b967d7, 0x6ba91a2d, 0xa63afa5a,
+    0x5967be6a, 0x649f5398, 0x9ebe63c2, 0x463762a3, 0xddc0efc7, 0xbfe926d2, 0xcfcd0137, 0xe2c30fb6,
+    0x16ebdc7b, 0x02a262d2, 0x3023684d, 0x20449204, 0xd3b56c3e, 0xb69f7178, 0x8d4ece78, 0x5c2bc44c,
+    0xfbca6104, 0x9d3c1acb, 0x059cfa04, 0x18d0d36e, 0xca0d0655, 0x9d8aef6e, 0x57d0c9d6, 0xe155d2b6,
+    0xa4c862a8, 0x165d99f4, 0x2cb5eefb, 0x3b00647c, 0xc2fe8117, 0x30793b1f, 0xc734abc0, 0x09440ecb,
+    0x952a618f, 0xbade9c7b, 0xecf60a89, 0xe1ba9efb, 0xc17ff555, 0xc14e9af3, 0xd900f73f, 0xdc3a5409,
+    0xfb7eb339, 0xfb712352, 0x4f49a438, 0x563bcc74, 0x43a4b16f, 0xc26e1e60, 0x1cf0d7f9, 0x25eed4cf,
+    0x2953eb09, 0x9cb6cb2b, 0xea477b91, 0x56270d27, 0x86f63b11, 0x51fdc7dd, 0x9d410fc9, 0x95d6b34f,
+    0x89d5a5a7, 0x52bd4f89, 0x1dd00f14, 0x0d20036e, 0x0992b6ca, 0x6946da53, 0x21213218, 0xc735edcc,
+    0xc33717ff, 0x097a31d5, 0x478c3f9d, 0x1e84d9d0, 0xfd40c015, 0x9e564046, 0x37e2722d, 0xb3643f91,
+    0x9919dbf6, 0x39db92fd, 0x538957b0, 0x41fc6df2, 0xc72a271d, 0x007cde0c, 0xb143902b, 0xb33f883f,
+    0xe4c32543, 0x8f9a62d1, 0xfbe04e30, 0x4aae84ea, 0x867dafd6, 0x3427bd3d, 0x520a3f04, 0xa83e2bbd,
+    0xcfcaeb96, 0x3d8fd1ac, 0x11446a0b, 0xe2e043a0, 0x79950e00, 0xfb80ae19, 0xb57f9616, 0xbf78a3de,
+    0xe26accce, 0x6ebe9c8b, 0xded5daeb, 0x46b930e6, 0x86a958aa, 0x5b588016, 0x9d13a07d, 0x443867b7,
+    0xe7b083e5, 0x10410737, 0x4aafe3e3, 0xba60c739, 0xdbfaf65c, 0xcf3b9654, 0xa3cf1794, 0x76f0416a,
+    0x57f51503, 0xbb805eb3, 0xd1f9f2bb, 0x6344146a, 0x89689f08, 0xece3246c, 0xaa5ccb5b, 0x8d3be62a,
+    0xb3e9f444, 0x0817fe6e, 0xef1542b3, 0x118219b4, 0x6685e6a0, 0x69561580, 0xb98561c2, 0xd03a0110,
+    0xab0b1fee, 0xb805a4e4, 0x8929bcbe, 0x0d3e4253, 0xdf54b14e, 0xf8d58d4e, 0x12f87448, 0x10217e2c,
+    0xa64fe38e, 0xeab5422e, 0x39df96c4, 0xea071815, 0xab2200a0, 0xef0b5e53, 0x51d377ae, 0x8c18cfdd,
+    0xae44ec1c, 0x2a6922d1, 0xa2ac283a, 0x0209ca22, 0xa29acae7, 0xc0393437, 0x158e1666, 0xa3f84f0f,
+    0x682ca3ad, 0x7b5529cf, 0x21f0cc33, 0x7aa699f6, 0x7163556b, 0xef4cfef4, 0x6316b651, 0xc4fe45af,
+    0x6e8d6a6a, 0x1570508b, 0x4dab9cef, 0x3045a883, 0x7ebfa0cc, 0xed4ea98c, 0x52edb3d8, 0x6a327a2d,
+    0x37618130, 0x219cbbab, 0x42b745b2, 0xdb510eec, 0x61ea17ad, 0x31eb1b40, 0x7e5b5b5e, 0x16007548,
+    0x6fa9d3de, 0x3601e878, 0x83e38b4f, 0x8bb1744c, 0x29bc6091, 0x35c899fb, 0x06e11604, 0xd56a83a6,
+    0x59c31fee, 0x38aa7770, 0x894e8140, 0x5de6f335, 0x4925c9d3, 0x47675d99, 0x0d3eb77a, 0xb82a954e,
+    0x4d0bf218, 0xf7f065d4, 0xe1ee8e8b, 0xde27d509, 0x6bd61413, 0xd88fc4ad, 0x6ef199a4, 0xd3524fd1,
+    0x8561e6d5, 0xc4c1dcc0, 0xe39a3801, 0x170db4bd, 0x366124e8, 0x851a2065, 0xf9b3bb45, 0x2a4e884f,
+    0x192dadd9, 0x57a022cb, 0x830e5f5d, 0x78e39745, 0x519b8992, 0x570c566e, 0xd4e77af1, 0x5079b144,
+    0xc6362c7c, 0xe90230e0, 0xd44842d4, 0xa270ec64, 0x3c58b899, 0x15095849, 0xdcffbdc2, 0x48bb277d,
+    0x682e1cc8, 0x2f2e59ea, 0x894bbebe, 0x301f1c6c, 0x7cf2515f, 0xa350dc7a, 0x465d7fff, 0x4993581e,
+    0x613f6ed0, 0xacb1119a, 0x96374f6f, 0xf8a7a14c, 0xfe1c2209, 0x7e90f5a8, 0xe9e053ae, 0xdd92389c,
+    0xd02275fc, 0xacd61310, 0xdd9497c5, 0x0247c49b, 0xcf041df1, 0xc9cf1fe6, 0x9dc5f4bc, 0x3aef8005,
+    0xd2d21b1c, 0xee9ce9c8, 0x41e70f4b, 0x63de6962, 0x78e5f5c2, 0xcdbbf7fb, 0xb72a0595, 0xb78c44af,
+    0x3b0562da, 0x11a02460, 0x28edf340, 0x9d4ece80, 0xfdf42fa8, 0xe6682eb4, 0x8987bcde, 0x811ade0c,
+    0x296f07d3, 0xbbc4004a, 0xf88c1a91, 0xb96326d9, 0x83031694, 0xacf1c2f3, 0x3c7f72fa, 0x03a988e4,
+    0x7e6447c0, 0xffeca80c, 0x6de78bb2, 0xc690b463, 0x9b900e8a, 0xa3737a49, 0x317fb7ad, 0xd29fdb9b,
+    0x340a7c85, 0x25975bd4, 0x72dc6ddb, 0x5e18e603, 0xe4ef25b5, 0x4ad9ffcc, 0x08c4eb79, 0x0308258d,
+    0xe988d2c2, 0x1c5e0fc8, 0xea2ca1d7, 0xfc6ef906, 0xf1e4bae5, 0x78cb09f5, 0x47ac1aa2, 0x6b0ceeb5,
+    0x10985746, 0xd0e1ec37, 0x3bfe8d46, 0xe38cd8df, 0x5d1d803d, 0xf060792f, 0x75d70c29, 0x2c0277b9,
+    0x12b57004, 0xc4356320, 0xceb71b1c, 0x2df4bacb, 0x4bdb4a10, 0x966753a4, 0xc218cb87, 0x5a339357,
+    0x5a7e0ecc, 0x733a4b77, 0xaf7f180e, 0x9952d56f, 0x399401fd, 0x0958390d, 0x65e56573, 0x1dbb6a0f,
+    0x0333e0bb, 0x3dd7aeef, 0x309c971d, 0xa48be1cb, 0x6c347318, 0xdd6ea9de, 0xfc9c70a2, 0x18f3ac00,
+    0x02e4cf5f, 0x6ef39e6e, 0xc85987dd, 0xd4c0f435, 0x397b3a13, 0x9f07b21d, 0x65a2ff2e, 0x3f5cd645,
+    0x80fa8258, 0xb6b04923, 0xe0835e42, 0x45a2d22b, 0xb6e6fb17, 0xfad9b785, 0xab06189b, 0xdf981ab6,
+    0x9d0aa52b, 0x15190fe4, 0x2fb0d0d4, 0x04c49af3, 0x8cf7781e, 0x89508652, 0x9a18ba50, 0x36846fe5,
+    0xb66085b9, 0x28ae8a85, 0xe3394a80, 0xbf843c7c, 0xa85f502e, 0x1c7805b2, 0x52a55717, 0xfe2bfbba,
+    0x100cc089, 0xb603be59, 0x02e0aad0, 0x098da0f4, 0x3a960647, 0x4c2bc45a, 0x503b34cf, 0xbcf91717,
+    0x56dbbe06, 0xa7f6a86c, 0xd94b5dbd, 0xcfc682aa, 0xafacb42a, 0xb8580d0d, 0x540704b4, 0x9ed59a2e,
+    0x2ec0aac8, 0x84aed209, 0xe841c810, 0xd21479c4, 0x9c53e7d7, 0x7f367081, 0x3d5e8fbe, 0x731c2d62,
+    0x4150c5a0, 0x6a75d7d7, 0xfd256a12, 0x2c38c725, 0xe2d486e5, 0xc1fb74ee, 0x5c0853aa, 0xa5faf739,
+    0x22bb06e4, 0x388363ee, 0xbcf9cd36, 0xe29c65fd, 0xb1ceba4a, 0xa10b6ddc, 0xa6e376a4, 0x588ecd7f,
+    0x14fa6bb5, 0xb4b576e8, 0x80552c49, 0x767f2cef, 0x4af35313, 0x79b842c1, 0xea0cc815, 0x895ec01a,
+    0xcc49681f, 0x4c4fcd57, 0x82c20842, 0xabc31fa3, 0x7257a884, 0xf77de3cd, 0xb245b4db, 0xa981526e,
+    0x60054bd7, 0xccc2d2cc, 0x47004166, 0xf7897443, 0xd1aa9680, 0x64efdb4d, 0xfdbc7c17, 0x07135699,
+    0x199a2058, 0xc0cb12c7, 0x8ee980ea, 0x577f574d, 0x83c793ac, 0x90a5a48e, 0xcb4254b6, 0xb9928c48,
+    0x6ac997f6, 0x4bf09af9, 0x0247e45f, 0xcb284a59, 0xb033c30b, 0x71fa8f45, 0xea646dcf, 0x2388a9eb,
+    0xd5e01278, 0xc40ae42a, 0xdf612561, 0xeb2a2b95, 0x9a9aa7b7, 0x2ace4e84, 0xfedb71aa, 0x87b39ae4,
+    0x8bc53b39, 0xd242d7a9, 0x4d8c37a8, 0xda942786, 0xc4505685, 0x04e8cf47, 0x2a58663d, 0x6ab60d54,
+    0x786d8611, 0x9a50e514, 0xfe88268c, 0x428ecec8, 0x0a80aebf, 0x2acd293e, 0xa59ed191, 0x4f095b68,
+    0x333778f3, 0xa40279e7, 0x8827ae6c, 0x7310099e, 0xda3a57d9, 0xa5de2f70, 0xa5a40aac, 0x1be9142f,
+    0xabc8fad2, 0xbac44c0f, 0x2be875ac, 0xe38888a3, 0x51115f80, 0xbc78e837, 0xd362c3f6, 0xa6c070f1,
+    0xd5349166, 0x9f91cdf8, 0xe2092857, 0x0ac7646b, 0x523ed887, 0x4450346e, 0xb6e71f9c, 0xd641226a,
+    0x17190c48, 0xb7ec47f5, 0xd53de392, 0x87ba4ffb, 0x2f21e778, 0xb51d4c71, 0x013461a6, 0x422f0b5e,
+    0x4950381e, 0x58875367, 0xedf9a032, 0x98647bfd, 0xc55a2968, 0x454e5ba4, 0xdd30ae64, 0xb92f3f50,
+    0xbece3a80, 0x69d37043, 0xda0aa8a0, 0x856ddeca, 0x2d9c6546, 0x4f7cfa51, 0xf152afcb, 0xdc636752,
+    0xcf4a7a00, 0x39caf87b, 0x93ff584d, 0x87baccc5, 0xcc8b711c, 0xcfeb8b29, 0xdd63aeaa, 0x9a1d731b,
+    0x032059db, 0x3796460d, 0xe55f95f9, 0x52b5e7cc, 0xe6f8a0e1, 0x5e7fb7d7, 0xf669bb59, 0x9eee7f09,
+    0x97a74cd8, 0xeac4efaf, 0xdc4d616a, 0x155374c6, 0x32d608ca, 0x12c8e8f7, 0xd05a1d7a, 0xa7abea1b,
+    0x7d4ea8c4, 0x4ae41109, 0xf3cd29ab, 0xe0cc6121, 0x4d014492, 0x693957b7, 0x1bc97650, 0x8bc44c19,
+    0x4a97cf51, 0x2a53f86b, 0x84e58fd3, 0xa633a232, 0xbb880804, 0xde2cd341, 0x581d27b3, 0xd6cb3167,
+    0xd0a9cb12, 0x25c12a4f, 0x0b1fc445, 0xa95c2ed5, 0xe85644dc, 0x8a26c663, 0x73b60fb8, 0x62687946,
+    0x8fb9f8ef, 0x69420d51, 0x96bfc8a2, 0xfd48d81a, 0xc1600113, 0x8c495fd2, 0x5645133f, 0x02247af1,
+    0x8702435a, 0x10d35401, 0x8e23050f, 0x1f3e3df3, 0x2c2ee433, 0xa69b2d61, 0x4d01eae8, 0x347934e8,
+    0x6b7c52e9, 0xe2df2927, 0x5f6da16c, 0x7b3db7e2, 0xbc80ee09, 0x5b79d1db, 0x48d87cad, 0xcfe20533,
+    0x5ceb3ffb, 0x0342109f, 0x2937e9c6, 0xab55cfe9, 0x4aab8e08, 0x9da1dc33, 0x47a66ef6, 0x98bc7095,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000536870912 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x35269e11,
+    0x00000000,
+    0xf754c8f1, 0x7260c2f4, 0x38333bb0, 0x5d10664c, 0x577dc17b, 0xc51d745e, 0x4014370b, 0x697ce650,
+    0xcbd75456, 0x9def6812, 0x44a1bfeb, 0x8bbb0175, 0xddd67f3b, 0x8b6a9e60, 0xeb737589, 0xd14fc36c,
+    0xd64a76c9, 0xe1c5aa86, 0x445bc4a8, 0x3dd2412f, 0x005a0331, 0xc45e8f4a, 0x88ba8a75, 0xd0493b01,
+    0x048bf3af, 0x04afe73b, 0xc3cdd075, 0x427d89dc, 0x323685e6, 0x7f1ab77f, 0xcce2b135, 0xd5749393,
+    0x8e293637, 0xff098e14, 0xdb044dd8, 0x5150df67, 0xdc4d5753, 0x44b0c5ff, 0xcc4a732c, 0x14bfbaf9,
+    0x461d0b9e, 0x3f2fb1e4, 0xda4c414f, 0x0ff36f85, 0x4b7c07ba, 0x2311d7ae, 0xd18a4a16, 0xc5928d1c,
+    0x8c8e99f5, 0xf8779a3a, 0x324ff014, 0x6eccde5e, 0x2001238d, 0xbb6d440c, 0x76fd6a5c, 0x0c1b2344,
+    0xbfcf6b1a, 0xba778554, 0x88011d4a, 0x874c5e76, 0x08c19bc5, 0x599d4b6e, 0xb21ddeeb, 0xa1561d6c,
+    0x5b1199d5, 0x59e565a8, 0x427cff54, 0x71ea6849, 0x8a290af9, 0xfe6058bf, 0xad833153, 0x81732053,
+    0xa026bbe4, 0x5b5db7d0, 0x83f1d03a, 0x45f154e5, 0x736d83d0, 0x6c5be4e4, 0xe193b2eb, 0xb22483d9,
+    0xd15a4559, 0x9c26f636, 0x14a72666, 0x22b87f74, 0x5d4ee8a6, 0x029698ff, 0x1d03f1c7, 0x136f1f3b,
+    0xc5fdf62f, 0x6636ee99, 0x3be58975, 0x03307b43, 0x4b2ad81e, 0x3d116c82, 0x77422ab5, 0x4e5085de,
+    0xb4c49d02, 0xc67eeb4b, 0x69e4cbfb, 0xd75d9611, 0x89a87949, 0x38a23a52, 0xdf0c5d0f, 0xb883ff19,
+    0xaf03e7c2, 0xf0a35574, 0xeb7baee0, 0x0662794a, 0xe335fb7c, 0x4344bf86, 0xbe234322, 0xffd00309,
+    0x1446af7f, 0x673aef64, 0xaaacef7f, 0x1ceb893b, 0xeca61e61, 0x761a5fb1, 0xd56dae16, 0xa9b97ead,
+    0xa6d7771b, 0xf107d418, 0xd0237232, 0x331b4a6d, 0x7b092241, 0x803acd2b, 0xa57f9104, 0x8f1be139,
+    0xe6d60d5f, 0xcd0851ec, 0x3aed89dd, 0x761929f1, 0x0dba76b6, 0xc442ccf9, 0x876dc571, 0x5444d849,
+    0xcf57f502, 0x8c187872, 0xa2706227, 0x0a6aa96c, 0xd3b6da53, 0x67cf214a, 0xd90163b4, 0x6a9f5b5c,
+    0xae20cebf, 0xb1075f8a, 0xe0dc648e, 0xbde0677b, 0x0749f5b3, 0xc1bf9136, 0xec24f421, 0x16cc3972,
+    0x16a76486, 0x1be4e6c2, 0x6821c6b0, 0xda7976c5, 0x851a0424, 0x6f5dc13c, 0x02f3464d, 0xf39fc74b,
+    0x5b414881, 0x2f6c14f4, 0x999e4efd, 0x336629f3, 0xb0b164ee, 0x7d4269ba, 0x61c99c1e, 0x1772b6ff,
+    0x184401e6, 0x00a30a3e, 0x033f2abf, 0x41e10c54, 0x995568b1, 0x9c3ead6d, 0x1bc86cce, 0xc62042c7,
+    0x77d0fc13, 0xef8d41e6, 0xc83235f7, 0x7a5e3c29, 0x0f414e8e, 0x048ff3c3, 0xa05a0100, 0xaaae0e51,
+    0x983c314e, 0xf6220bd7, 0xb3dc6ef8, 0x8ac6694f, 0x288d8ef4, 0xf90641bc, 0x31f0d735, 0xd8982fa4,
+    0xef972420, 0x5988d05e, 0x8615dd17, 0x651021b8, 0xd4a308cf, 0xa5ac7e73, 0xb4f665a9, 0x860ac7a4,
+    0xe6e08156, 0x26598744, 0x850844ed, 0x139dd976, 0xf06b810c, 0x0d1068b3, 0x1d143178, 0xcb05e160,
+    0xcce5c842, 0xedcf9967, 0x4f7e14cf, 0xc8f1879a, 0x35dc1ee6, 0xdce55b5e, 0x928aa665, 0xa13215af,
+    0xeddc51f2, 0x7c928634, 0xedaca195, 0xe8d51d68, 0x9e261e59, 0x0180ea14, 0xdbea789e, 0x7cd4d731,
+    0x1d277fd9, 0xb6a08f08, 0xefd9db28, 0x936a43f9, 0x291f34c7, 0xf9e40395, 0x4859c344, 0x2b9cf5be,
+    0x89f8db62, 0x50b5f7c9, 0x3ee66fc1, 0x00ff667b, 0xa35bbd15, 0x7d165680, 0xfc62f40d, 0x9b83df8f,
+    0x1b639166, 0xeedbbab0, 0x89e44029, 0x86741f32, 0x2053150f, 0x7a364b48, 0x028e7826, 0xeca55272,
+    0xe8994858, 0xb0577a19, 0x352c46ad, 0x506f5b6f, 0xf3aaab6e, 0xb3b8e3db, 0x23080c0a, 0x7eff9be7,
+    0x9a4d3c9c, 0x6a1fc844, 0xc2e2dddc, 0x8b43e86d, 0xc00c9ee3, 0x40d0789f, 0x3188dd3e, 0xa1b3005e,
+    0xc7596988, 0x2a65a4be, 0x8dea3215, 0xff543f1a, 0x86afd747, 0xf66ba6e7, 0xab6266fd, 0xb535d9d4,
+    0x0c9b55b9, 0x726637e3, 0x89c5396c, 0x5c3dce98, 0x72fa9152, 0xa003dd80, 0xbac1d4d2, 0x92cadfef,
+    0x1bf3ad40, 0x87d833cb, 0xd0a54380, 0xfb5eacb1, 0x0621074f, 0xb7d83dc8, 0x5f88eab6, 0x7b8cc650,
+    0xd20c70ce, 0xeda166a2, 0xb1dce192, 0x65f48b37, 0xb7695efa, 0x9da5f42b, 0x19343045, 0x79445ea0,
+    0xef7c5343, 0x7e69df60, 0x60a958cf, 0x947583b2, 0xeffd5fe7, 0xfc05b1b4, 0x508dcb06, 0xa273945d,
+    0x3ef7e21a, 0x8eba5512, 0xa3da5b61, 0x82f53ba6, 0x630408a8, 0xc950b050, 0x6a9b5b62, 0xef76cac7,
+    0xd59f6c82, 0x099a3674, 0xcff4bca8, 0x5bed5da9, 0xc69bf7f7, 0xcc2b2332, 0x8ee2ca95, 0x85a42dc2,
+    0x7fa7760d, 0xdc836ea5, 0x86e0d6f2, 0xfa57fa66, 0xc9961059, 0xa1c5d7b6, 0x89481b76, 0xf93b9336,
+    0x50aa872e, 0x6d4d9e62, 0x7c4c974d, 0xa21e46ee, 0x910b76de, 0xc05294cd, 0x72fb6681, 0xa91a7654,
+    0x41438219, 0xa687c3a5, 0xd6810b59, 0x7423bb8d, 0x544054d7, 0x1eb216df, 0x3f4b9139, 0x89363e73,
+    0x3feafb21, 0xe521605c, 0x0d15299c, 0x4f67986b, 0xa1fc7941, 0x394e11e1, 0xeea8dd8c, 0x4abb8fa7,
+    0x4488240d, 0x94b9a486, 0x7772a3ec, 0xea7e248a, 0x15e1b13b, 0x66c34981, 0xd732c48d, 0x3bb54471,
+    0x4af17e6e, 0x3d320c6b, 0x1ff1e9b2, 0x3de1a95e, 0xeaeed698, 0x29dbba8d, 0x4c383d08, 0xa8fbe397,
+    0x2bca8c7c, 0x74ffb8f7, 0x65acdd49, 0x20137c67, 0x458baee2, 0xb8467a85, 0x106f8857, 0x958f4fa1,
+    0xce4bad32, 0x68848abd, 0x6b4d2fa9, 0xfd0ba624, 0x548a987f, 0x9b07c63f, 0xf2d47f5a, 0x38cee226,
+    0x91588c4e, 0x4609538d, 0xee2f3546, 0xc5016f73, 0xb0f059d9, 0x8d547d15, 0xd5046244, 0xe6f19f9b,
+    0xa47f1c0e, 0x95467a27, 0x9a73246a, 0x22f6bcd5, 0x63ed2e74, 0xc057f4c6, 0xf7fe47c5, 0xf40dec9b,
+    0xe000d1c7, 0x02489817, 0xbf61c9ad, 0x073c0ee4, 0x7588dc22, 0xae1790aa, 0xca47408f, 0xd8be3e7d,
+    0xd1882066, 0x98c8b63a, 0x174d02bd, 0x6e6f37b3, 0x1ec4640d, 0x9d2c37ab, 0x54d71260, 0x6c242528,
+    0x203de39f, 0x4aadcf86, 0x34eeffdc, 0x0a17012d, 0x1d7cacd5, 0x68ba9dad, 0xa782c11f, 0x24ed068f,
+    0x8a6ac07f, 0xd2baca61, 0xf4b48cf1, 0x0b45a31a, 0x605817e0, 0xf5e05042, 0xb29bed53, 0x0996abb4,
+    0x5a622c1e, 0xb411064d, 0xa4676a81, 0x33f22d2b, 0x08316fbc, 0x67c6915a, 0x9995a6ee, 0xe466888b,
+    0x979386fc, 0x8424268a, 0x4486fbbc, 0xe590b926, 0xeaa7c286, 0xc7131707, 0x110fc983, 0xa31698b9,
+    0xd16004f0, 0xe257594d, 0x58c4dd75, 0xa5e55486, 0x9aaf19ce, 0xe0d0c565, 0x774f1fab, 0x725ddb78,
+    0x3c1d71c3, 0xec68865b, 0xf7c5bdf0, 0xd5b0a688, 0x8e8001ab, 0x6bc1936e, 0x9a6179a0, 0x2b7023a4,
+    0xc51d195f, 0xa020e8d3, 0x599014e0, 0x0950bad1, 0x509ede5a, 0xb1d955dd, 0xc0654ab9, 0x3b6e9588,
+    0xf46b9fb4, 0x721f1752, 0x38b91dac, 0x635816ba, 0xa3316f08, 0x88bb9ae2, 0x7bdeaf90, 0x5fb8aee7,
+    0x88c64aa3, 0x4222cbc8, 0x27c95eb3, 0x97a1ee4e, 0x3b3223c0, 0x388a07e8, 0xcc775198, 0x48099b67,
+    0x7359addf, 0x9e552726, 0xba7bbac2, 0x2542f2d8, 0x13e073da, 0x6de3ce44, 0x99c8bb61, 0xeaaca8ae,
+    0xa6df8592, 0x5e7e1767, 0x29df0226, 0x7ec7ac68, 0xcb2339ad, 0xd21f8def, 0xae765f8e, 0x24ec8fb7,
+    0x3281ac54, 0xd84a7780, 0x7e83e4a7, 0x939f5610, 0xbd1f2d06, 0x48bad42e, 0xbe11b6b2, 0x56a29e93,
+    0xd75d7a6d, 0x56ddd02f, 0x21a69fcd, 0xb207fb6f, 0x7d6a3ca1, 0x8a5b0576, 0x85c37ade, 0x9ab3d728,
+    0x85d52f7d, 0x26a9854a, 0xc1f7984f, 0x849396a5, 0x3e60c09d, 0xb37d0970, 0x3d886e52, 0xe609b107,
+    0xb7941eed, 0xd3d6aed8, 0x5361367d, 0xa3e56a1b, 0xbfa56914, 0x401f2322, 0x83255610, 0x1952e1fb,
+    0x8d0c5a2e, 0x223f7898, 0x2dabd44c, 0xb2082977, 0xb3af04af, 0x0e37c25d, 0xf8cf5ad0, 0x5d9c25b4,
+    0x1db4906b, 0x3bb4f121, 0xf8078fec, 0xd5782c49, 0x1f25365a, 0xe015b3a7, 0xe3cbdeb4, 0x6cbe161d,
+    0x7089dcb0, 0xff6492e3, 0xcf773be1, 0x486fb7c4, 0x96199c60, 0x79086436, 0xd93a68b4, 0xe14a2870,
+    0xc735edc3, 0x2ec3fad6, 0xbae0e296, 0xe446b5c2, 0x660d3fbb, 0x29dd23c1, 0xb73bd58f, 0x283586ba,
+    0xff7641e0, 0x5747f61c, 0x530ca44e, 0xa16ec304, 0x982f7a3a, 0x198ffd70, 0x910982fa, 0xb8a894c8,
+    0x8f6fc377, 0x296f648a, 0x7a39e212, 0xc1e1bb89, 0x56835851, 0x4687623c, 0x3de575dd, 0xc90445ba,
+    0x54a078d0, 0x8c80baf6, 0x51231ebf, 0x75e1107e, 0xa1ef904d, 0x2fa83d77, 0x5d3ade27, 0xb7a9789f,
+    0xd69d39ef, 0x7d999b35, 0xe147c112, 0x99728169, 0x4e836e22, 0x6848f7b8, 0x77e7239d, 0x3bb2df9a,
+    0xc738a83c, 0x9b7191d5, 0x61b82d03, 0xecd920b0, 0x60474e48, 0x3ef7747c, 0x3ac1f7e1, 0x14e89dcd,
+    0x70a6f245, 0xef23397b, 0x6f66a204, 0x4ff3c272, 0xb9f72f3e, 0x08b46d74, 0x9a8fa9e9, 0x3196921a,
+    0x4560f749, 0x72d8360a, 0x2a02fede, 0x58af2dcb, 0x4f5cde18, 0x6444ada2, 0xf6586f25, 0x8adf7df1,
+    0xb40ffab9, 0x76160fa6, 0x04715e28, 0x94d293ae, 0x79780b68, 0xbd28c39a, 0xc18d5de1, 0xc873aad3,
+    0xa2fbdb15, 0xafc86d61, 0x683bc48a, 0xf9916550, 0xf866e93e, 0x006047be, 0x40e55cdf, 0x665cbacb,
+    0xe2cdf07c, 0x44e6e35c, 0xc4ae644e, 0x08dccce1, 0x44479310, 0xcbeb64b3, 0x96061e95, 0x7b8ddc2f,
+    0x78e0b5c4, 0xa5a4bb53, 0x5593ae80, 0x8763a8e2, 0x0db289ca, 0xc04d002a, 0xc4f7dc13, 0x90209bf3,
+    0x1cb90ffb, 0x0b66e866, 0x0871d706, 0x3265aac9, 0x690fb1bb, 0x9d5667b4, 0xbdd21a91, 0x5e4fc5d8,
+    0xb6afa2d2, 0xb8edb05d, 0x64c6b710, 0x0eacc709, 0x4a0a8431, 0xf3cce84b, 0x54792948, 0xb31a360b,
+    0xbba23e04, 0xf977be00, 0xaa3017bb, 0x39a53fe8, 0x3353f8b0, 0x00b2c864, 0xf540fd4a, 0xb0d2066c,
+    0xf7264e01, 0xe051e506, 0xeea6243e, 0x5b515643, 0xca4094aa, 0x5deeb8a4, 0x8f31bb85, 0x600e2bff,
+    0xd0b6a5dd, 0x6292a5ee, 0x7bf7f6e0, 0x7e5b3f98, 0x875be9a2, 0x3faea3ed, 0xaff3ce36, 0x78fe5267,
+    0x7be19f42, 0xa87dc566, 0xe4d75787, 0xe7d00bd7, 0x7e8436c9, 0x0fd02eaf, 0x23b71797, 0xc008aced,
+    0xc42642ba, 0x86504c10, 0xfaac4650, 0xb8923264, 0x8f805047, 0x8c36deaa, 0x72a7806c, 0xadb6cff8,
+    0x3a645929, 0x4e5ea981, 0x05db1642, 0xbfcce899, 0x9a6c138d, 0xa7d99530, 0xe7ca738a, 0x3fff7ceb,
+    0x3ab63b1b, 0xcb81aec3, 0x605c9053, 0xb048c210, 0x4efe01b3, 0xc8e2544d, 0xe9b75713, 0x8ef2dd55,
+    0xa4a6fad4, 0xee81c2cb, 0x635f44b0, 0x2fce4c58, 0x60b006c9, 0x99bd60fc, 0x1797dcd6, 0xe08c31d8,
+    0x2fcfdf1c, 0x64828ead, 0xba109ef3, 0xa634e862, 0x18d4e9e1, 0xf6605f50, 0x5f5fb1bc, 0x231817c0,
+    0x6367af25, 0x8a49f068, 0xd124edba, 0x4e5dc8c2, 0x1ab030ef, 0x92ac0b47, 0xbb4fda4d, 0xce689d49,
+    0x1b90edd9, 0x28762080, 0xb14ebc0c, 0xb4775b32, 0x5a1b4380, 0x79ccaf63, 0x17b43088, 0xb828963e,
+    0xc20fcd4e, 0x04a0d36e, 0xd3a6ab29, 0x05ec2daa, 0xe26703a6, 0x10ab6ee9, 0xd96227c0, 0xec97c106,
+    0x6ca5ad6b, 0x01cdc5ca, 0xda73db19, 0x82a7011d, 0x607dc7a4, 0xacb94086, 0x6205e867, 0xcf7d6c09,
+    0x6ffa809b, 0xa9e1469a, 0x26823cbc, 0x220e762f, 0x6a1656a5, 0xfd8696c0, 0x17125d07, 0x09d5cf01,
+    0x7d1893fa, 0x79998bcc, 0x05b9af89, 0xa6e06520, 0x45d9e775, 0xe07847e8, 0xe3307fb5, 0x54540e75,
+    0x938d51b8, 0xf488a3f4, 0x342dc074, 0x19390cd3, 0x8b3e65b9, 0xf3785649, 0xa84d3a08, 0x1ce7f357,
+    0xb2f67ce6, 0xac216fb2, 0xd9453aab, 0x7837231f, 0xb53351b6, 0xe7093da9, 0xbc5ac9ef, 0x4d86afbf,
+    0x9de384ae, 0xbef62df3, 0x0819ac91, 0x800ea9e5, 0xfff1aeb6, 0x33195b82, 0x7bbf0aeb, 0xc573dfac,
+    0x9e654e88, 0x7e8fabe7, 0x4d026b48, 0xf45671af, 0x967b1bbe, 0xb7ea4239, 0x916d67f9, 0xd42fe9db,
+    0x885a5411, 0xb430b02f, 0xfc2d0ca9, 0x03b78bc7, 0xeabba296, 0x0aa83442, 0x29d106bf, 0x5ff62d52,
+    0x80218b64, 0xe3e66ca0, 0xde127d0f, 0x8f7c32ac, 0xd455f005, 0x1a8f8cbf, 0xb711135c, 0x2b050d4f,
+    0x51e47783, 0xe74d8cd0, 0x080fc08d, 0x3d9b3dcf, 0x291e789d, 0xd6d2959c, 0xb3d7d289, 0x5f2014c2,
+    0xdc19ef48, 0x62935916, 0xf08f7cdf, 0x6f566476, 0xb33445f5, 0xce135aec, 0x7aad7214, 0x3898cf94,
+    0x8668b9de, 0x0596a34e, 0xe9117d2d, 0x7072b826, 0x1acbceb8, 0x93bbdf19, 0xed5abb75, 0xf481cc4f,
+    0xef8a1da8, 0x0acbb2da, 0x3d211d4a, 0x93ac6c56, 0xf5fdfa9d, 0xf92bd08f, 0xbc1422ef, 0x8ba10b10,
+    0xa8cbcfb1, 0xc00826dd, 0xf9d8010c, 0xaf5790ac, 0x0ec55731, 0x2d72700f, 0xd6dc38b9, 0x7a8e2e29,
+    0xa65a588c, 0x7222c5ed, 0xdaae09cf, 0xdeacdb00, 0xab0f1035, 0x9cb2e0f2, 0x4bce8cd6, 0xbbc3c83c,
+    0xe9e907e8, 0xb8ac788d, 0x21dabeba, 0xc20954bd, 0xe6d3cf60, 0xe3e5a02c, 0x9b06ca3b, 0xf69143a5,
+    0xcc674ffb, 0xe8cedd28, 0xe01db1d3, 0xb4bd0366, 0x72090293, 0x75b583fa, 0x167b1032, 0xc2ba7681,
+    0x96852975, 0x4559b031, 0x40a97384, 0x7e4997d7, 0x2ba6e90b, 0x39ce1583, 0x00e5c197, 0x6520d4c4,
+    0x820edfd1, 0x03fd7124, 0xb71895eb, 0x9660695e, 0x7eb4cf01, 0xe022bd70, 0x88df76e4, 0xfae1705c,
+    0x0e5c3032, 0x01f0b028, 0x79830a72, 0x9ff3d335, 0x64c91f8f, 0x3fa859b7, 0xbde3eb1b, 0xe8c6784a,
+    0xc0acaca0, 0x09291357, 0x8bba27d3, 0x5fa7a6b9, 0x9a1fc844, 0x9e555baa, 0x9fe3bd8b, 0xd39546d7,
+    0x51fb17bd, 0xe5aaa7bb, 0x0aa1fdbe, 0xca800ce5, 0xce78c346, 0xe6a1f4a3, 0xb90f6b9a, 0x93f67e44,
+    0x17b1a93d, 0xe85cc917, 0x909d9cb3, 0xffae4276, 0xed9df232, 0xed4a20b1, 0x056bf221, 0xae92c874,
+    0x4fc827df, 0xb03b680d, 0x43f201a4, 0x8dafabd5, 0x6e73da25, 0xaeae342a, 0x8f1cc41b, 0xc4b0bd45,
+    0x05f48063, 0xd400613d, 0x7fe35bca, 0x2f7f1c28, 0x2df0a38d, 0x29aa9db2, 0xbc9ad26f, 0xa0d88f2e,
+    0x121e4676, 0xca0e1679, 0xf4477115, 0xd634f71a, 0x45a8ae89, 0x3d352e12, 0x33b4edff, 0x9ad46aee,
+    0x807c5c8d, 0x7c75a8d7, 0xbbf6b8f1, 0x978f2a1f, 0x6d7bf20f, 0x4321ced4, 0xb0f76ed6, 0xf57be885,
+    0x3b6c32a4, 0x9f6243e1, 0xb3cd4f8e, 0x10606ab2, 0x4ac85369, 0x50fa80b7, 0x8b2d4cc0, 0xedeeea42,
+    0x543e2812, 0x35d7e13f, 0x165d2f29, 0x6f9dcf9f, 0x34541171, 0x6e71775d, 0x54e22548, 0xe4ac37f9,
+    0xc90f76c9, 0x2aed7606, 0x94cd78bb, 0xeea0927b, 0x494372ea, 0xcb60c7c2, 0xe29aded1, 0x0cccaf6b,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000268435456 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x1a934f08,
+    0x00000000,
+    0xb1ed94f5, 0x91f3e887, 0x21f6be61, 0xa5acca51, 0x665437e4, 0x08132aa3, 0xa6043f2e, 0x7ba187d1,
+    0x629cf499, 0x9c039dd5, 0x768f949e, 0x024fb446, 0x561f60b0, 0x4588f306, 0x0adfcd7a, 0xf0ea60e6,
+    0xe778184d, 0xa04488c5, 0xcdd2b025, 0x50554ed9, 0xeab59a89, 0xdfa0ccaa, 0xfac1192c, 0x802d693e,
+    0x764ab6c1, 0x03f525b6, 0x20ccfbe0, 0xe175a635, 0x1e8f6500, 0x9412a009, 0x59349659, 0x3e9fde43,
+    0x069e427d, 0xa8f833c0, 0xf769f838, 0x7dee7309, 0x8181a413, 0x7cdb6682, 0x1eddef72, 0xd74b4f60,
+    0x6e4813d3, 0x344f9e8b, 0x435e630e, 0x630d2761, 0xb0941314, 0xb58d1c19, 0xd0871ae4, 0x696ddf52,
+    0x6327fb15, 0x96d542de, 0xd6c401c1, 0x81995da1, 0x338fac52, 0x177e0701, 0x08320b84, 0x6011e4f2,
+    0x1d546c07, 0x319d8f1c, 0x7ecec393, 0x2145c681, 0x5df3bd8a, 0xa3a01c05, 0x8a14bf89, 0x024ab6d4,
+    0xacc76f45, 0x0fd8c060, 0xa8baf8a7, 0xd3f57ad8, 0x65e4ad95, 0x8e8116b3, 0x79713554, 0x47ae54aa,
+    0x1c6d42f1, 0xef89e9cd, 0x42aa1bd6, 0x25f45d05, 0x0f298016, 0xa33b7399, 0x39097ff6, 0xe3eef26a,
+    0xa6726783, 0xb74ae9e8, 0x19ae2669, 0x9ef6c8a6, 0x6f24345c, 0x7bc04252, 0xa3e3e7cf, 0x4bf96bb8,
+    0x0c2324b5, 0x924fc81f, 0xac9189b7, 0x38509988, 0x7fb5cf53, 0x6b3170ea, 0x5fc8d124, 0xbebf3273,
+    0xa0cd2864, 0x5d6ba459, 0xb24c7813, 0x47a9746f, 0x4fc1fc64, 0x76e431ce, 0xdba891c5, 0x50462dea,
+    0xb5c0df84, 0x81890ac3, 0xc4fbde9e, 0x6f42529b, 0xf4874477, 0x4aee0458, 0xa13544f7, 0x1f3eefc8,
+    0xaf253151, 0x72f7d5a9, 0x22152780, 0x30c876b9, 0xe2c3d6ee, 0xf5b6ca96, 0x10d47d35, 0xc792ce1e,
+    0xf8586e3d, 0x21e5acc1, 0x211e6c90, 0x1202ed32, 0x78a3c22a, 0x38be5d43, 0xd060ab77, 0x9b5ad065,
+    0x6fa215c4, 0xf2e6ca9b, 0x3cf70849, 0xe084cacc, 0x1c0793fe, 0x81751a7a, 0xe44ba55b, 0xa8c3350f,
+    0x552eb0cb, 0xe2597076, 0x8fc30e35, 0x0853814c, 0x92305fde, 0x9325c6b5, 0x5d8c2042, 0xa46a484f,
+    0xea32d1d8, 0x10dbf110, 0x66265edd, 0x1a254d6d, 0xf62d5b0b, 0xc115e5fb, 0xce965eaf, 0xc755f573,
+    0xf3818a95, 0xdbb16fd7, 0xfca41b6d, 0x98cab23a, 0xd1bc6160, 0x42774910, 0x97cd353a, 0xff0e127e,
+    0xd8dfded3, 0x71a98ba1, 0xdd82499c, 0xccf99471, 0x564f2246, 0x9685476c, 0xeaf995b6, 0x33a8f92d,
+    0x2cccc371, 0x39d57346, 0xc356e9b0, 0x750f75b1, 0x1af3f1c7, 0x30c8dcbb, 0xd98cd541, 0xde40c149,
+    0x60833a35, 0x740779a2, 0xec871537, 0xbf39d448, 0x5bd945fa, 0x092797bd, 0x989ee170, 0xb0b418e0,
+    0x4f2facaa, 0x00fb6e4d, 0x04e8f262, 0x47a07643, 0xeb2ebe6b, 0x3dbbdf4e, 0x37e1c775, 0xc4fc2dca,
+    0xc621c881, 0x6f3d7693, 0x20ee14b6, 0x3f24bd76, 0x9fa3bf18, 0xf65ed399, 0xfe289af9, 0x9695e036,
+    0xc7446be6, 0x334eb412, 0x237d7b07, 0x3c5a9928, 0xbd0c41c7, 0x2e96741c, 0x55193473, 0x6a3309ca,
+    0x571a20a4, 0xa97c9491, 0x4be3f5c3, 0xe651116f, 0x6bf2ddb1, 0xf6e6c01d, 0x718bf905, 0xe92de136,
+    0xb7a5b720, 0x7cb855be, 0xfba30b28, 0x2e46cd68, 0xa44fda08, 0x4143d40b, 0x9eb98620, 0xea978577,
+    0x7ea7ab1a, 0xd8738637, 0x55e8befe, 0xe51de70a, 0xd7fe298b, 0x3ee04e29, 0xd335c0f2, 0x5f126106,
+    0x55188617, 0x687b1cb5, 0x87989266, 0xd918bee1, 0xaf6037d1, 0x5336b64a, 0x9777db2a, 0xeb057ed7,
+    0xd5052ff1, 0x6ea430b5, 0x379041c3, 0x96a2ef25, 0xb2af96ae, 0xdc7706c2, 0xea189f95, 0xfa0731a6,
+    0x2a020b64, 0x44a1e8b5, 0x67c904e9, 0x023f9851, 0xe13bc4dc, 0x7700ea75, 0xd1646f52, 0x4a32d918,
+    0xb3c88091, 0x51047e6c, 0xa981e5e0, 0x1c11f605, 0x8c535e34, 0x7c413fdc, 0xb106057b, 0xd4711021,
+    0xea86f572, 0xa0899e8d, 0x87755c55, 0x5af53508, 0x89372e35, 0xe0765b97, 0x0da23614, 0x88265055,
+    0x009250e6, 0x8051f4e8, 0xbd2773a3, 0x6147966c, 0xc14e86ed, 0xd69009b4, 0xac58c447, 0x46edb36d,
+    0xbfa9b529, 0x14ac425e, 0xd1a95144, 0x3b208a38, 0x76fc306e, 0xbda53c6c, 0xcc16a396, 0x9b6ae612,
+    0x7f520822, 0x9873c079, 0x0b795ea6, 0x74a1501d, 0x9446e9eb, 0x83883b53, 0x5cc08aad, 0x22eac8b6,
+    0xb4613180, 0xcb91012e, 0xd38f9408, 0x36493851, 0xf11713d9, 0x871a6703, 0xd4eb0a8e, 0x6123e6a1,
+    0x8a957f0e, 0x68abae58, 0xc23d9a9e, 0x9fff24b9, 0xabe8f43e, 0x4fa9d162, 0xd963f733, 0x76be8f18,
+    0xbe285f68, 0x525dfdca, 0x64db944a, 0x84398281, 0x305c9fc4, 0x0cdf446d, 0x2277209e, 0xd4d85404,
+    0xd98a6f6e, 0x36f0d6e7, 0x0fc7e201, 0x6e9b5a81, 0x1382a3b1, 0xcd043065, 0x303953b2, 0x275c82c8,
+    0xc3659dd8, 0xef354f28, 0x57421602, 0x8a1cec34, 0x2b42ef36, 0x0cf30f60, 0xb4c93b63, 0x3a97ad85,
+    0x6240b273, 0xd70b2284, 0x96d490d4, 0x3b24d701, 0x5b1bc587, 0xf4db36f1, 0x5ed4809b, 0x51857721,
+    0xcff7a21b, 0xaf8e9c03, 0x2762baa9, 0x0c205672, 0x148ff106, 0xcf3af978, 0xcff26368, 0xd9101986,
+    0x7e04bde1, 0x0fdac949, 0x6fb3f7f4, 0xe0441dd2, 0x09f38fc5, 0xeeb67744, 0x7ab134a4, 0xa2c8c034,
+    0x90f8964f, 0x9d959102, 0x33244293, 0x9feca719, 0x6c541ade, 0xa324894e, 0x0094b9cb, 0x5aba17e8,
+    0x243f5633, 0x401518f5, 0x732dbeb5, 0xd9efef81, 0x5ec7fd3b, 0xeffdd055, 0x974b428f, 0x37473b0e,
+    0x59fe2250, 0x3a64b0b5, 0x2bfdd3fa, 0xa45adf00, 0xc9755ce5, 0x6c4926c0, 0xa358307e, 0x0deee80f,
+    0x8a986283, 0xd7b351c8, 0x825911a1, 0x6c245cf6, 0x6baaa634, 0xa335ccaa, 0x4fdd3f42, 0x33e8aae1,
+    0x2389d79f, 0xe7a4e079, 0xeac72f13, 0x6c8e8650, 0x3834bdfc, 0x61fc85e1, 0x69222758, 0x013befd7,
+    0x2e4d974c, 0x5ac02fa1, 0x3e08be6a, 0x65d8ca53, 0x9161c729, 0xf80011af, 0x3ca8ed36, 0x556769e6,
+    0x19a6ac56, 0x99599111, 0x3f65dab5, 0x6a35efcd, 0x2073a815, 0x65b146f9, 0xcb4db97b, 0x26e847d5,
+    0xe5394178, 0x635ccc6b, 0xda999775, 0x0832db2f, 0x5ac4a000, 0x623f6064, 0x2f08bbc1, 0xe1ede2dc,
+    0x461ade60, 0x982cd201, 0x4ac23cc1, 0x838fd8f2, 0xe0048932, 0x469ff593, 0x0ac836b0, 0xaa8f3003,
+    0x3ba4eefa, 0x46a3149a, 0xd181bbee, 0xbea2daf5, 0x3601544f, 0x1fdbb842, 0x303bd72a, 0xd5298bf5,
+    0xf8b34f22, 0x7ededeff, 0x99a8eab6, 0x8acd37be, 0xa2c758e1, 0x4acfe671, 0xa33cca30, 0x1bd459a3,
+    0x8630b598, 0xe8da0b05, 0x94b014a6, 0xe5f443a0, 0x037f2969, 0x25e75b17, 0x8193b489, 0xa6ad2a6c,
+    0x7f84f5c0, 0x49677f31, 0x6e201fd7, 0x9d519145, 0xdfee777d, 0xef97eba5, 0xc527aef4, 0x41789c6a,
+    0x52eb17b4, 0x4962d40a, 0xf592601c, 0xb2ef9357, 0xcabc38f7, 0xf8159d05, 0xf12a0821, 0xdeeeafef,
+    0x2e58788f, 0x8ed97783, 0x74219318, 0x90be23c5, 0x38bfd2d0, 0xaf333add, 0xdc754bf4, 0xacb211b5,
+    0x69a98ecc, 0xc3c43290, 0xd7ff3488, 0x20c94956, 0x274e9892, 0x744c8f00, 0x435fdb9d, 0xd2551d92,
+    0xff8563f1, 0xaf9028a6, 0xd04cbf2e, 0x65e91828, 0x2756dd61, 0xf708a71d, 0x1edefec8, 0xe0bb053c,
+    0xb5d04560, 0x51fdb68c, 0x645aa41b, 0xaa588e62, 0xe5852c47, 0x1d2b9c86, 0xe7942aed, 0x89236e4e,
+    0x53ca813e, 0x3aec914e, 0xd0aa4e4f, 0xbb855f9c, 0xb6e68abd, 0x3cde1ee6, 0x561814d2, 0xd744e59e,
+    0xb5c6b0be, 0x78d993af, 0x99c1ea6d, 0x3f8ae4f9, 0x845ddf09, 0xcbc19c5e, 0x9e1a7373, 0xfbc540bf,
+    0xae7bdc9d, 0x1182989b, 0x9954163e, 0x06fc1019, 0x99e4b56a, 0xa7e7e347, 0xcd0bfa07, 0x4139eb31,
+    0xbaa97b19, 0x9733b4a0, 0x211b929d, 0x42b19366, 0x59917a5b, 0xa51a88fd, 0x98fddf43, 0x52a9e83f,
+    0x4629902a, 0x70b83b76, 0x5e80dba2, 0xd69772d8, 0x244f77db, 0xc5663859, 0xb2e8412b, 0x52a0c6ff,
+    0x135b169d, 0xda99c5f5, 0x19db8ade, 0x4ab62ce4, 0xccf5bf9d, 0x19868cd6, 0x169bcfc1, 0xa2c1087e,
+    0xbe7eed79, 0x8fd484cf, 0x2ac16eff, 0x329f8f80, 0x55aac771, 0xaa4063cc, 0x169ec951, 0x0b32b2de,
+    0xc6c0fa20, 0x3db4513c, 0x33e677d3, 0x99c57616, 0x4968e1ca, 0xf885738c, 0x660ec412, 0xa986ac73,
+    0xb6afdb81, 0x404d8954, 0x9ea275ad, 0x96ab1892, 0x04cbe704, 0x00cb3227, 0xb796dd15, 0x48f65ab2,
+    0x919f0ba1, 0x1f8c72d3, 0x8ed71b41, 0x169ccf0d, 0xb9ecf38a, 0xc5a7ee76, 0x0963d2be, 0x0434e178,
+    0x00d29f9a, 0x1c4bc0b4, 0xd037fe3e, 0xfa89ca01, 0x3e441b04, 0x212179da, 0x4065cb59, 0xa9d6eca7,
+    0xa6ccbac1, 0x6e5879bb, 0xe402359c, 0x6058501f, 0xe6fbcfda, 0xfda013a6, 0xe87ced72, 0xe27a08c0,
+    0x22e6be6b, 0x12de7d27, 0xf30d70dc, 0x534b2fad, 0xd1135bb6, 0x8965e85c, 0x0728e4e2, 0x08505e41,
+    0x080cc762, 0xee91be0c, 0x33002082, 0x94affa5a, 0xd6ceb845, 0x8946a9f5, 0xdd69bbeb, 0xa2b2655e,
+    0xf9962ba4, 0xf46b2cbc, 0x7059a5b6, 0x57299fe3, 0xfa706a5a, 0x3da1a4e5, 0x77f60433, 0xf0774766,
+    0xfc5eb7be, 0xeca08389, 0xae02bb59, 0x7e2dcd5f, 0xb783eafc, 0x084a76a5, 0x6d0292f4, 0xe3667d92,
+    0xe7ed04b1, 0xe099791f, 0x9d22d10d, 0x36940ce6, 0xfe490cfd, 0x80e7557a, 0xe5c8f2a0, 0xc78d62aa,
+    0x194d1f78, 0x8817b04b, 0xf6aa3a5a, 0x95d74337, 0xab560509, 0x214b0d9c, 0x4a56cce6, 0xa6276b02,
+    0x0f2009fe, 0x4c848455, 0xbde639c3, 0x30ce7702, 0xc872010b, 0x74664b16, 0x8f5ac269, 0x1c672afd,
+    0xba118334, 0xa679514a, 0xeadd4c5b, 0x58f86116, 0x78e94afe, 0x524a3b8f, 0xce75755c, 0x6eaef26c,
+    0x7e362ed6, 0x5aa839c9, 0xbcda80b5, 0xa774d530, 0x47278306, 0xb06ddced, 0xee973414, 0x44636da9,
+    0x8ede6e60, 0x7ed20f25, 0xbf37f9a8, 0x3eb49873, 0x6a2a82c8, 0x16d08ae9, 0x5cb94b5b, 0x83a4677a,
+    0xe32cbfda, 0x9ede5712, 0xd1deabc8, 0x61c29a74, 0xe273efa0, 0x400eb2c2, 0xe296ccb3, 0xbdc94a2d,
+    0x206a71f6, 0x124963fc, 0x22a21644, 0xeba30189, 0x855b1774, 0x48eb9511, 0xa14daa0a, 0xed3e2afd,
+    0x797ec08e, 0xc739c994, 0x8de8df94, 0x6890e3a5, 0x69abf45f, 0x1cc258ee, 0xac9f38ab, 0xf39a28a4,
+    0x7f941339, 0x788a5ee1, 0x13af9783, 0x370319af, 0x5481fc4d, 0x87b09c8d, 0x4fc0c001, 0xe12af241,
+    0x53c8e0db, 0x14cbfd32, 0x8f5fd88c, 0x063cf6d9, 0x4205b1b3, 0x74580097, 0x353d37db, 0x8debe84e,
+    0x7a9ac6f2, 0x68632122, 0xee2ea98b, 0x0a7ab2a5, 0x5b505041, 0x0ec0ce10, 0x6c2267b5, 0xb7fc016f,
+    0x298b414d, 0x9b8c38e9, 0x9597f638, 0x805ad8ab, 0x3d68b873, 0x4059c9ea, 0xfd4b05fc, 0x82cc854c,
+    0x0aae935b, 0x3f2600af, 0xddee0e7e, 0xfc403fd7, 0xb621de71, 0x4bb098d7, 0x9c40ad98, 0x6c3b0504,
+    0x707c429c, 0xc4c264e3, 0xdc5e1ea3, 0xee37f108, 0xef7f1822, 0x1c217bf0, 0x7707fe20, 0xcf2b9719,
+    0x761bbb9f, 0x66bc8b1c, 0x795e16bb, 0x23b86698, 0x4b2a35a2, 0xf5d1bb95, 0x93204593, 0x43a76b2a,
+    0x8fa19c84, 0x67abb115, 0xc6cb0a8e, 0x90cf86e4, 0xf11fdd0b, 0x67f21cd0, 0x72bc7e3b, 0x4b46ee67,
+    0xddb5da87, 0xf84e05ff, 0x58a62b90, 0x12fe5564, 0x953ca458, 0x1139a32e, 0x68c3bbed, 0xe275b2e4,
+    0x94270d25, 0xf466914a, 0xb7c1a8ac, 0xb731f3e3, 0xbb64757d, 0x794459c2, 0x0570f828, 0x07188f6c,
+    0x64632fab, 0xebecc8fb, 0x4f9064aa, 0xc15273e1, 0x55a10b4f, 0x3b495762, 0xdbf56bcd, 0xabaccdb9,
+    0x042d25ca, 0xcadb6630, 0x96510f2b, 0x29f6c414, 0x0f51a7d8, 0x36ccafeb, 0x3bd9b747, 0x3ed21e6f,
+    0x53d19bba, 0x0e8f6c4c, 0xd85e8f01, 0x7a7d4f09, 0x2c4f4c81, 0xf7952e66, 0xcc73cf24, 0x32512533,
+    0x0bd2562b, 0x922ecd0b, 0xbc6af94f, 0x4078cd9f, 0xebe3b4ce, 0x2430bd85, 0x24912f6c, 0x3f6c5d7b,
+    0x4185e289, 0x5142b27f, 0xfd2d2533, 0xb20e648d, 0x2b7931f4, 0x7715c9be, 0x6a72d552, 0x5d6e42ca,
+    0xd164cba0, 0xe5fc397b, 0x98343818, 0x053f7988, 0xa15395e5, 0x88932774, 0x2571d837, 0x47bef670,
+    0x84f1d1a5, 0x74cad9d9, 0x1b3a12a9, 0xb04f2cb3, 0x66aa8c5d, 0xc4768692, 0xe8e8f51f, 0xf254de6f,
+    0x909977fe, 0xd77055b9, 0x807a5100, 0xf52d53e7, 0x954779a3, 0x4b1172cb, 0xca7b2726, 0xe5c8807b,
+    0x5b3c4a69, 0x7106cdb8, 0x29a1d550, 0x2fba5d6f, 0x728d14f9, 0x7d6446f7, 0xef6b586a, 0x5c15dce8,
+    0x12fd449a, 0x31b0c7d9, 0x440ef6da, 0x8dde0f47, 0xb3f98bbf, 0x1d8212e3, 0xb0a9b0fb, 0x3618e3b3,
+    0x589af76e, 0xade93430, 0xe09fd308, 0x96097160, 0xf1310c3d, 0xce376cc5, 0xfb179560, 0x2286d98e,
+    0x54f7c7a7, 0x7f14c924, 0x2abd3bae, 0x39fb6b60, 0xfdaecc3b, 0xab94d7bc, 0x171e9544, 0x01fdaa6f,
+    0x6ea7288c, 0xc3f02ed6, 0x00595ba1, 0x84eccf69, 0xad70e26b, 0x4272d52a, 0xd5f01fca, 0xe820eea2,
+    0x11c3601f, 0x41c165b1, 0x2bb73917, 0x8dd4429b, 0x8e75d35e, 0xb1b8aabf, 0x2de0f3bb, 0xfd04da12,
+    0xa18b3833, 0xe894b000, 0x6317817e, 0x4af6aab0, 0xc2303771, 0x29c6ad2c, 0xfb391e4f, 0x122c30ec,
+    0x82479e8d, 0x79934b59, 0x2d1b6688, 0xb6e1251d, 0xdc176925, 0x6e4f772d, 0x1e4b40d0, 0xa7620be3,
+    0x5d608fa1, 0x6efdf90e, 0x7bdd4fc9, 0x088dfec6, 0xbb668605, 0x98e5062a, 0x855880f6, 0xe5d45d14,
+    0x1cfd2b80, 0x9a7af065, 0x2d92736f, 0x073fdf83, 0x17b3b173, 0x5e86696c, 0xe0c368c6, 0xc8f10d05,
+    0xab253659, 0x55f3b5c2, 0x0ad3af3c, 0xa3e19694, 0xc208c956, 0x8a14f8d8, 0xd9fee86d, 0xa4038e9a,
+    0x679bbc65, 0xcebb963e, 0x0bc628fd, 0x37eb6acb, 0x88e3fb98, 0x88626805, 0x30581a4c, 0xa7f9c840,
+    0x76d93f5c, 0x9002fd13, 0x9b2eac72, 0xc2821287, 0xcf30b009, 0x368f68ae, 0x3a5fd82e, 0x8b5eb0a3,
+    0xd9cefe74, 0x710b652d, 0x5b2e1368, 0xa3405820, 0x2ba394b8, 0x262f3d82, 0xc66c1a80, 0x64651fce,
+    0xf332cd5d, 0x6c8b21be, 0xe609fb22, 0xd3f022eb, 0x64d93866, 0x32918012, 0x6ecd31b9, 0x9f0ae7e3,
+    0x1dfe16bf, 0xd98e9ec2, 0x0fa2cb4d, 0xcb56f940, 0xc11bd7c1, 0x29796f1d, 0x515d4208, 0xa5d1b9b1,
+    0xcd241282, 0x88b8dc86, 0x50f51941, 0x89d87243, 0x42b1cb9f, 0x44cb8b67, 0x867e88b3, 0x9a4d9a18,
+    0xf1bdc6e7, 0xf22f91a9, 0x5ac47585, 0x60f17283, 0x60fb2d33, 0x2d9c6f1b, 0xc803fa09, 0xaaa60801,
+    0x75c93f84, 0x6a033dbd, 0xfc42208f, 0x18b423d4, 0x3f119ce0, 0x0b0abb41, 0x61844397, 0x1644b423,
+    0xdef99402, 0x2a12c90e, 0x72e88c0e, 0xa2cf8d9c, 0xc939fc60, 0x6ca93bc2, 0xa18304b8, 0x9c9cc44d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000134217728 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0d49a783,
+    0x00000000,
+    0xd56c6931, 0xa9f59ec9, 0x6a4e9db4, 0x5ff0f81a, 0xbefbb783, 0xddfb4c63, 0xd5f4fe90, 0x080dd45d,
+    0x5839ce36, 0x8db52090, 0xd1561913, 0xfe3da96d, 0x8badea86, 0x647ba39f, 0x279cc021, 0x258cb477,
+    0xb647780d, 0xe1259d42, 0x857f7551, 0xcd9c6bba, 0x1d5d5e2d, 0xec4f0164, 0xaf20aac2, 0xabf48c98,
+    0x13cae86d, 0xdf72f190, 0x9ebc9df2, 0x864f0a1b, 0xcfd04f7e, 0xa8f4ee07, 0x7d45cdfa, 0xab186b64,
+    0x50e98dcf, 0xbbcbe722, 0x3591f402, 0x1fb4ff04, 0x9e24e6b0, 0xb08c64f2, 0x8c09ff34, 0x55f8c445,
+    0x3ff5504a, 0xee09a1cf, 0x14fdfa69, 0x38f30e83, 0xb1de05d6, 0x8714458b, 0x14e491c3, 0x13eba491,
+    0xf007d565, 0x9a49cf47, 0x20075f4c, 0x8c9ffe76, 0xcc3da4fc, 0xfa1e1585, 0xace736f5, 0xfed68326,
+    0x62700e8f, 0x7111310a, 0x7f1cece7, 0xf567a256, 0x660542cf, 0xda8bdc26, 0x6cb39b18, 0x9417ff2a,
+    0x8566ebdf, 0xe87b24ae, 0x4ac27f20, 0x835fb54d, 0xdaf4d7f0, 0xa00dc683, 0x0d12c759, 0xdf80660b,
+    0xe7f604bd, 0xbae0b5c8, 0x7c08819d, 0x43b0bc4f, 0x03318ad9, 0x6be4c7b8, 0xc474068c, 0x3f4a4b13,
+    0x2c07331c, 0x5585f8d6, 0x5c475309, 0x28862def, 0xa20ffe7a, 0x70f7ebd4, 0xfe708ee8, 0x02fd856d,
+    0xe9047200, 0x61e2b466, 0x0e7785f0, 0x65a211e1, 0x2d20d296, 0x7ea565a9, 0xd91eeb49, 0x80d091e7,
+    0xd29e75e1, 0x19a383b9, 0x82a99589, 0x0078caab, 0x8b204891, 0x252b3cc9, 0xddf4263a, 0xad78ed0f,
+    0x95813d2e, 0xe3a67a72, 0x4322482c, 0x630d7896, 0xc7ec4edd, 0x5fd4c8b8, 0x48433b49, 0x6ce692d1,
+    0xd7956885, 0x789f41d9, 0x20c8ea94, 0x33ecc68d, 0xae7936ef, 0xff15d6b6, 0xf618afcb, 0x44ac7028,
+    0x23752705, 0x6165ce65, 0xcbb1d5f6, 0x4573e57b, 0x4dfc87b7, 0x5e391c29, 0x80ca28d8, 0x86db2355,
+    0x9c240ec2, 0x2bb8dcec, 0x9ce5252f, 0x27442af4, 0x7d87b756, 0xcd896445, 0xd2c56971, 0x505f3e94,
+    0xb94010ae, 0x46fd24c1, 0x183e6d83, 0x3f040e20, 0xaf0c0cba, 0x0481bc8c, 0x854d6710, 0x553eb39a,
+    0x1b61b05f, 0xc0843924, 0x112de7c1, 0x18a7a4a5, 0x9f89335a, 0xeaffb272, 0xee012542, 0xe31b5ad7,
+    0xf9eeecb6, 0xd162f7ab, 0x8b97c3b5, 0xa60bef03, 0x93bb2c84, 0x96c41f49, 0x21c3a36a, 0x290899a3,
+    0xea1d2d78, 0xa34bcc9b, 0x66df2655, 0x639dd18f, 0x8fd9f1d7, 0x8c1b00c7, 0x069cc4bb, 0xb5142785,
+    0x19e531d6, 0xcf9dbb36, 0x81d21871, 0x3a783f26, 0x75cfab1a, 0xb23cc972, 0x0e3b3504, 0xc6aec013,
+    0x5a4af1aa, 0xcead6431, 0x5e03e07f, 0xa8b26121, 0x50f52959, 0x7bd5e0e6, 0x0d7efa31, 0x3c27da13,
+    0xecc7171a, 0xab9986c9, 0x4eacdc1d, 0x48c44d9b, 0x5903adeb, 0x518349fa, 0xe20060ab, 0x5aa548f2,
+    0x03d617e2, 0x949f180b, 0x9f0d6293, 0x36d60ea8, 0xdb3c782f, 0x83b05bc3, 0xaf153c60, 0x48cd83c0,
+    0x0ec1f0b5, 0x29b5709e, 0x692c9be2, 0x011756e7, 0xa380be05, 0xd6aea7f8, 0x47126026, 0x5f9aba02,
+    0xba5caff0, 0xd3eab756, 0x9bc22eb8, 0xbd59be1a, 0xeaeca0dc, 0xf848cf5c, 0xa617e330, 0xe6327d74,
+    0x41535947, 0xc25111ee, 0x8888c710, 0x5924ab07, 0x5fbedc14, 0xe390b553, 0xefd475e2, 0x71c86556,
+    0x7ee4392c, 0xfc7b7244, 0xf17b4e69, 0xd65763d6, 0x5818d989, 0x5b35fa1c, 0x86e68a0a, 0x9a432e69,
+    0x2e718e8c, 0xe3616eb8, 0x14f9480d, 0x8d5683f2, 0x765109ff, 0x8b15e346, 0xd2385418, 0xa621242d,
+    0x8825c79c, 0x45065c9d, 0xc14b95ee, 0x2dc1afa9, 0x87ac5cce, 0xce8f7737, 0x3c70d355, 0xaca574cb,
+    0xf5c31a1e, 0x90e21125, 0x8d9d86f5, 0xb90173e5, 0x627cec73, 0x5ff08615, 0xfb8ad1bc, 0x8da42c92,
+    0x4a148fd2, 0x3aad4414, 0x8e9fcf08, 0x9e71ed74, 0xe49b2070, 0x64db69b1, 0xa8ca485b, 0x0e86b3ad,
+    0x6e1dba51, 0x8cd589d5, 0xce268ed5, 0xbf31a8c8, 0xbdce8767, 0x80f573d3, 0x7eced618, 0x133a0817,
+    0x7c12be4d, 0xfec60ebe, 0x37687be5, 0x0b657086, 0x835f2ff5, 0xbadfdeaf, 0x0bf4e632, 0x4bb43d64,
+    0x1e18fcc2, 0xfe043964, 0x9c568c18, 0x598508fe, 0x8838ff0d, 0x871530a3, 0x25499f3a, 0x2943de16,
+    0x49c8be97, 0x158789fc, 0xcd5a8ac3, 0x6d337d81, 0xdd9c01d3, 0x5882f5b1, 0x308394be, 0x4c011acc,
+    0x37660e8b, 0x508085cb, 0xf557d444, 0x8a9ecb7b, 0x388d96bf, 0xd6f515c7, 0x91f39ee2, 0xbcaa026b,
+    0xb51a8de6, 0x87234d42, 0x513c0cd0, 0x0c7ba6b6, 0xc63822ad, 0xa3b9eeee, 0xe4487a75, 0x487cde5e,
+    0x3f11b553, 0xb5d664b7, 0x17772b5a, 0x79770824, 0x8b5703ed, 0xaf4c45c1, 0xbe18c9e5, 0xd4870d56,
+    0xcdedcdae, 0xb6c51952, 0xe9a0ff58, 0x92c52d6f, 0xfeb9fa19, 0x9457b2b9, 0xe89744b6, 0x4166257f,
+    0xc3ac5ac4, 0x0b3d5c1b, 0xa54a03a0, 0xb96ffd70, 0xd8059ae7, 0x49095f7e, 0xab4b77c7, 0xfd701b0d,
+    0x83746780, 0x6a162236, 0xdf7757ee, 0xa7566d81, 0xa41b1ff0, 0x67b8a61e, 0x43451827, 0x6c5d31e8,
+    0x4428541a, 0xd3e69cfa, 0xd47ae3c1, 0x1adde200, 0x89c17c83, 0xf4a2629f, 0xe2148832, 0xa0d2a74f,
+    0xf45167c2, 0x7b04c5da, 0x93b0ac68, 0xc51bd129, 0x810c56fb, 0x4cde27eb, 0x0a883f2c, 0x1ebfd715,
+    0xbd4fb3db, 0xc6b0a52d, 0xa14bd0d1, 0x0c85a4b3, 0xefdb6b03, 0x63a04eba, 0xf825c97b, 0xf58ce03b,
+    0x38535e94, 0x060ae83e, 0xb35a08ec, 0xb74f256b, 0xfd8c4d6c, 0x7f0b6234, 0x5689473d, 0x7e5fdd71,
+    0x1da4b654, 0xd8d1c5ff, 0x26e86c86, 0x01688d01, 0x8b7c1a46, 0xb6e5abb9, 0x2aa91f1d, 0xf8d89926,
+    0x54f95189, 0x97d3a32f, 0xf949c2c8, 0x5a4963e0, 0xdbbaa0c6, 0x7cbaa8e2, 0x310b4d04, 0x1630a715,
+    0xdff759fd, 0xaef3bb45, 0x51d053c8, 0xc4696f31, 0x5191e141, 0xf7cc37c6, 0x13502146, 0xf4ff36bd,
+    0x6f210d78, 0x32f98856, 0x9f0a5c03, 0x648c6014, 0xca392071, 0x153a0c0b, 0x2f9ad845, 0xf6320f0d,
+    0x2f194182, 0xdedbeb94, 0x3b97c2c0, 0xa40efa9d, 0x6fc54cb4, 0x6867c507, 0xc3a9f093, 0xe9b40727,
+    0x6c782799, 0x8bccf2cc, 0x1a7cb590, 0xc1e52ff6, 0xaac7ff6f, 0x0082de4b, 0x09a043b1, 0x87913188,
+    0x61cb1159, 0xb7829bd6, 0xc062852c, 0x5cf7ab60, 0x26bece0d, 0xb64e4c19, 0xc11117c6, 0x872c5e0e,
+    0x3d04e7ec, 0xc48a485d, 0x24a2a6ff, 0x894712f0, 0x0e980590, 0xa9cfd50a, 0xd926c84e, 0x72555caa,
+    0x3fc92591, 0x00cd77a1, 0xf36aa634, 0x7da530c0, 0x9caa792f, 0x4183c5c0, 0x8567961f, 0xfbb0fae0,
+    0xb24369d3, 0x90b5093e, 0xc506e7c0, 0xce888f5d, 0xd01d11ea, 0x4e78b064, 0xcbae7dc0, 0x9dc42efa,
+    0x7fcc749e, 0x4cd63bab, 0xa9edc125, 0xa8faf9d2, 0x98491e97, 0x166bc72f, 0xfa38b597, 0x8fb05a35,
+    0xd3bfe664, 0xcd52cac7, 0x2e217aa3, 0xb3fb54a1, 0x79b39e30, 0x9383b67f, 0x61d67b41, 0x491cb1a9,
+    0xa89ec9a9, 0xcd442d24, 0x9f24260a, 0x2fdb7704, 0x4f7e6b30, 0x1db4ba00, 0x6178a180, 0x804adc05,
+    0x66960dd2, 0x542c1b36, 0x2da55b86, 0x3a6b41a6, 0x2f0a02fa, 0x28c8dd52, 0x8c78ef50, 0xcb283e89,
+    0x018ad26b, 0xff31fd81, 0x49c2a8a4, 0xaa8c4e72, 0xed5f0637, 0x7c294887, 0x8bad97f5, 0x2910109d,
+    0x5ea99ae0, 0x472c584e, 0xad654ae4, 0x97a42e16, 0x8adfb456, 0xa0bb0a0b, 0xf63ebaa4, 0x4e295d97,
+    0x4487adf4, 0x0f5d49fe, 0x1a885021, 0xf54c0f74, 0x108020ec, 0x03f08f32, 0x20bdff45, 0x4401d92e,
+    0x952df56d, 0x1a36cfc7, 0x75e80de0, 0xa3295602, 0x94308fee, 0x2c239ed5, 0x136b7cdd, 0x5daf1fe9,
+    0x50b2a03c, 0xd1097718, 0x4a9fb5cc, 0xbe13f290, 0x4dfdb147, 0xc4e2366e, 0x7e117035, 0xec406f46,
+    0x7a1e437b, 0x42bbe625, 0x2e8413a4, 0xbf8bfeb8, 0x410684a7, 0x331e4f69, 0x22a3f5c1, 0xee0b3ffc,
+    0x88caca76, 0xffb7fbf5, 0xd5df2739, 0x79a65023, 0xaf6227c7, 0x9a3a2b65, 0x5f8a0f39, 0xa0668be4,
+    0x8c57d4ef, 0xc7713d5a, 0x190b4d3a, 0x2e958011, 0xadbabb9d, 0x6ad7b959, 0x7b98cb81, 0x071ee1e4,
+    0x55834f80, 0x3478992c, 0x1cee3237, 0x87b73376, 0xb70aa0da, 0xae1250c8, 0x285de360, 0x10b0e543,
+    0xf671b1d5, 0x994c0092, 0x25cf3291, 0x7e7b56b0, 0x107b7126, 0x2bbdd7b9, 0x7a1a9a49, 0x63078c67,
+    0x6411c824, 0xce4eed1c, 0x90990bcd, 0x01893305, 0x0eef653c, 0x6b610f03, 0x02792ff7, 0x4ac53e12,
+    0x726abcef, 0x4d6bd645, 0x1b4b3774, 0xa0f5d995, 0x8e6bc880, 0x063177de, 0x8def9aa6, 0x4aa44040,
+    0x644a13d5, 0x777069d1, 0xd05d0c82, 0xe80511aa, 0x57e61fab, 0x7cdc02f8, 0xb2361924, 0xb9b8e283,
+    0x96c394df, 0xf5bd1225, 0x71b5d4b5, 0xb12b11fc, 0x0f0f239c, 0xddc2a23b, 0x87f6cdf3, 0xad0ac61f,
+    0xe1f9b070, 0x8abcad94, 0x2610bec5, 0x3daf157c, 0x1bfc9ef0, 0xbc8e54ef, 0xa3195dcc, 0x545e5624,
+    0x98a61087, 0xfd9f5ad6, 0xa6701585, 0x3e7eb314, 0xef5e0686, 0xcf0523ac, 0x4abd57f0, 0x382f81a9,
+    0x5d3bef0e, 0x9106b721, 0x79787436, 0xe85f2e9b, 0xd8f0b2d4, 0xa1a27d5d, 0x024855d0, 0x738a737a,
+    0x817442a3, 0x1a2f5e95, 0x0e68feeb, 0xad63d520, 0xc4b2322d, 0x1c45e921, 0xe5e3577e, 0xd750b496,
+    0x20770024, 0x601b0570, 0x8edd6092, 0x8b859fae, 0xee218c7c, 0xf5c0ae58, 0x7271d2cb, 0x6ababbdf,
+    0x8d230ddd, 0x7560a157, 0x82ec3f5b, 0x3d2d8a5e, 0x6eda45ff, 0x9cd184c1, 0xa521d66e, 0x041d2e5c,
+    0x44600934, 0x1305e753, 0xc90532bd, 0x7b0baf2e, 0x415d9b7c, 0x4b6745ad, 0x50e1fec8, 0xfaee5f41,
+    0xebf9cef1, 0x1fec604e, 0x536345c8, 0xb8d6383f, 0xa758f978, 0x9420e1ff, 0x9e95db18, 0x87575d33,
+    0xccb3a978, 0x2e71e4ed, 0xcb406dba, 0x2895f513, 0x8b430e6e, 0xa746270d, 0x98c2d116, 0x30644687,
+    0xdefb282a, 0xb7eae328, 0x1cf2235d, 0xeee7714c, 0xc7e1bae5, 0x2b5f1839, 0x3af58968, 0xfecc3a92,
+    0xdeade1cb, 0x81adf896, 0x259fdc52, 0x40a57177, 0xa1fb85cd, 0x3b70b633, 0x5093ec34, 0xa618ef4c,
+    0x3a56b052, 0x6f78e69c, 0x0ef90913, 0x6ad5f6bf, 0x476a9042, 0xa68b8c9f, 0x7c7a1bcd, 0xc5ba9a92,
+    0xe7ef3af5, 0x9158acd3, 0x4226b8ba, 0x13f171b6, 0xd0bce003, 0x1f495259, 0xf22df279, 0x5ffb78ee,
+    0xeda9d852, 0x247189f0, 0x1bb2d04e, 0x16577dd1, 0x14c6a5ff, 0xf6142e28, 0x5627adf8, 0xf6309853,
+    0x7057c34a, 0xa937f540, 0xbfd9aa99, 0x54b7b674, 0xb66a1b26, 0xe5ae5dc4, 0xbc89f0e6, 0xa490f635,
+    0xb11e227d, 0xc089abab, 0x7432b870, 0xdad0fb61, 0x63e21673, 0x48bd7220, 0x58abc06a, 0x016e51d5,
+    0xedfafaed, 0xac803261, 0x8e0ae8bd, 0xa36eef25, 0x336c59f3, 0x013c28fb, 0x1f85933d, 0x1014fc58,
+    0x7e813e8e, 0x90ab0bd7, 0xa6d28853, 0x4bb35f9b, 0xf6d2db0e, 0xc7d9a667, 0x7fcf70dc, 0x8027bf5c,
+    0x16e1f06e, 0x193419ae, 0x2ba1d6d7, 0x5995f668, 0x96d20c40, 0xd9b30c36, 0x996b422d, 0x8b99633c,
+    0x7cd2d84c, 0xbf92a7d0, 0x24fdbb81, 0xe69e5b1c, 0x36aa0a5e, 0x05a4685e, 0x017604d1, 0x624ad1d3,
+    0x2f1db101, 0x54a5eb86, 0x05de862b, 0x7ba1d16f, 0xdbc881dd, 0x772820d7, 0x38c9d32e, 0xf9ae0bb1,
+    0xd38ac8e5, 0xbb096ab9, 0xa88d1a8b, 0x7598f9e2, 0xe1fe0316, 0x06928185, 0x37ee4abd, 0xff9326bd,
+    0x3e26b25d, 0xe990709c, 0x822a66f9, 0x17e7868b, 0x4774c550, 0x3745e53b, 0x1179e556, 0xca459826,
+    0x7b2e8c9c, 0x009a3d84, 0x1dd2ade1, 0x7fbce4f8, 0x970316d4, 0x1a7f1cf0, 0xbc013df7, 0x872afecf,
+    0x91110ee7, 0x75468961, 0x9bbe4b5a, 0x9ab20ed7, 0x1da5b706, 0xdc3dba56, 0x5e3349ea, 0xec72838c,
+    0x777562cc, 0xcf5b3be3, 0x57438757, 0xf204e8c5, 0x82011b24, 0x2018ab00, 0x3b8acb8a, 0xc91c8c97,
+    0x6e1e356b, 0xf4f415d1, 0x58ae7274, 0x9873e79a, 0x5c53490c, 0x57623bcb, 0x7908a86d, 0x910ba40b,
+    0x6dc1f141, 0xd10a62d8, 0xc437a972, 0x3f32a4fb, 0xf5825350, 0x8bcf9ab8, 0xe5d4e615, 0xef8f45cf,
+    0x19987102, 0x78b7ae6d, 0xf21de91b, 0x11994e95, 0x8f3594bf, 0xcaf8594a, 0x70809843, 0x8672f538,
+    0x1e781996, 0x8cdfab57, 0xacc14f93, 0xe2f59a8e, 0x70db7177, 0x4829eea4, 0x377f2674, 0x4c921532,
+    0x66aa907d, 0x5422cd34, 0x26f08397, 0xc30daf87, 0xbae31b47, 0x40542508, 0xb26dc174, 0x5055f5e3,
+    0xc2574d09, 0x87b277b8, 0x37fa11d7, 0xab06679b, 0xcebd5b9a, 0x8ecacaba, 0xe6ed8f60, 0x4453c897,
+    0x981ad3a0, 0x88a2c06c, 0xc380d318, 0xb250b6aa, 0x2ee4b610, 0xcb7201c4, 0xa62cfb87, 0x827f782d,
+    0x68f23b9b, 0x75f147de, 0xcbe509ae, 0x6d479c09, 0xa89a89a0, 0x844f5f7d, 0x4b7d1a5a, 0xa98a0f29,
+    0xedd34251, 0x0ed1cc94, 0xd3d19421, 0xb8792a9b, 0x73947d88, 0xa3d341ec, 0x6f54f90f, 0xb9c229b7,
+    0x03417bc9, 0xbe89008c, 0xbc3e491d, 0xb8f3dbd0, 0x1e6a6cb6, 0xd9b20c7a, 0xf52cd0ef, 0x30d8ff38,
+    0x3b699c23, 0xaac6f2ea, 0x76ca57d9, 0x1f5db22e, 0x2fe84fd5, 0xd0ebd706, 0x7047d371, 0xe4b39913,
+    0xece60b43, 0x0b24f287, 0x98454e1a, 0x1635a31a, 0xb6d4cfee, 0xe97ce2d1, 0xdfe42c0e, 0x83c382eb,
+    0x5d650551, 0x4c1a8c89, 0xcc84d4d8, 0xf94f2ac2, 0xeba5cf09, 0x38faf9bb, 0x07f9660f, 0xcc948732,
+    0x7fbada62, 0xc8826ed1, 0x3ba8b7a2, 0xf35c4ec5, 0xe23b03e0, 0x5f371001, 0x5e04918e, 0x0d2a87f2,
+    0x3cc7399d, 0xf1000bf6, 0xbc7addd5, 0xf721ea78, 0x253023ac, 0xe640da23, 0x39f18e0e, 0x217f9136,
+    0x88feef3f, 0x1d5c7ade, 0xd0b4a6c0, 0xf4eba238, 0xb7038dee, 0x58ba090c, 0x8c0f8e4d, 0xde7b0937,
+    0x398cf885, 0xb9161084, 0xd236aaa9, 0x4d12d0b7, 0x9bd68dad, 0xa75b5438, 0x76997048, 0x8e31d02f,
+    0x344f586b, 0xf584ab94, 0xbee571e0, 0xef400b18, 0x5017ac1b, 0xf3663d88, 0x8118efcb, 0x2ff19a45,
+    0xe5e4c3e2, 0xe3a95c0e, 0x8d288531, 0xae304d2a, 0xd4b4d032, 0x43688fdc, 0xe9f2109b, 0x1a39568a,
+    0x9938abd5, 0x17017f26, 0x9c1c8c9a, 0x349fc6b8, 0x400b07b5, 0x2a53e1b9, 0xbdb39f37, 0x89f1a806,
+    0x82541a39, 0xdcab033e, 0xd46fb2b3, 0x0654d201, 0x0c58989f, 0x9de416dc, 0x7fa9388f, 0x987ce37d,
+    0x60b44ec6, 0x0b95e1ea, 0xed5baed0, 0x62756c49, 0x20c7e43c, 0x70f4ea51, 0xc03a5c31, 0xd2622057,
+    0x6cb6fc7b, 0x60cdda08, 0x49ef8504, 0x92ac4177, 0x6bd98410, 0x76956036, 0x69a4e457, 0xefa21682,
+    0xcb7d0fc8, 0x8b263790, 0x061c5312, 0xe305c10d, 0x7be72837, 0x233ce50c, 0x26298052, 0x735a33ca,
+    0xd2f19d29, 0xca0f64ec, 0xdce53d2d, 0xac355797, 0xe4d8356c, 0xa6d941dd, 0x02e3077c, 0x2e4f1bf0,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000067108864 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x06a4d3c1,
+    0x00000000,
+    0xa5483e39, 0x3ab27119, 0xf5cbd79d, 0xd8115a6a, 0x0099d93c, 0x6a2fe470, 0xc422ed86, 0x3a96818b,
+    0xd2ecae65, 0x14bb34f6, 0x1da16fe5, 0x06a7306c, 0x804f9e0c, 0x5a42624e, 0xba7ef850, 0xa72b6da7,
+    0x9de9c078, 0xf1d4ff54, 0x01807898, 0x445f265e, 0x02524556, 0xa7b4330f, 0xf72d702d, 0xc7bfef78,
+    0x17740af3, 0xe5bf5ee7, 0x63717b05, 0x07e32825, 0x52334b28, 0x835b64f9, 0x7a155fb8, 0x364daacd,
+    0xf1e1db55, 0x262e7d45, 0x86729e4e, 0x12dd333b, 0x67aea64c, 0x84d2ac10, 0xf2abf7f3, 0x1601acd2,
+    0x0d96193e, 0xb70f1864, 0x85eaa9c4, 0x7ed4cec5, 0x985e48f8, 0x2017744c, 0xed62b995, 0x34f3967b,
+    0x3748fdce, 0xc4b18517, 0x094612bc, 0xbf5ae2f8, 0xfe98048c, 0xe428f0fc, 0x01741ebd, 0x6cbb2087,
+    0x391872cd, 0x6b93ac5b, 0xe85e6ba7, 0xa22776de, 0x6be21c37, 0xbb00c11b, 0x5eb04b9e, 0xfef90bfa,
+    0xd7b55528, 0xab5690c8, 0x19d2403e, 0xe6bbded9, 0xff088c5b, 0x4842e723, 0x7cea2ed6, 0x2119a48e,
+    0x8cb29f2d, 0xa27fe3fa, 0x1854361c, 0x7e78c5e9, 0x589d18e8, 0x93c96a57, 0x29048151, 0xecfbea01,
+    0xadd7fac8, 0xa5a79d2a, 0xfe0b83ea, 0x607d9a1f, 0xa42d7244, 0xa98a6e1f, 0x638ba83e, 0x1d7873eb,
+    0x059f08f5, 0x6898a308, 0xdb9b7d27, 0x44b1ec89, 0x2f92f6ac, 0x3806b2dd, 0x6245c6a3, 0x68968e95,
+    0xbfe9e0be, 0x3333d4a1, 0xb686572d, 0xfbd77d69, 0x9a24ce30, 0x050e3293, 0x57b89707, 0xded3cd69,
+    0x304df0f1, 0x73c001a5, 0x3522fca2, 0x6231d7f5, 0xbbb6ffc7, 0xad014013, 0x7c908efa, 0x59e3bb49,
+    0x5d9ce4de, 0x5d9703b3, 0x8c8cbb61, 0xef38e35e, 0x89b901d4, 0x4ec1ca2e, 0x209af9a4, 0x73c722f5,
+    0x9aac8b6c, 0x087db30a, 0xcbf71083, 0x680286e7, 0xf4965f47, 0x6bc38045, 0xddb76175, 0xb536aa5b,
+    0xb90ba9b2, 0x87ece3fc, 0x12307a20, 0x25e17e18, 0x8246502d, 0xe99cd50f, 0x41b96282, 0xdeb12531,
+    0xdb90aea2, 0xf7f0b7a9, 0x24f8c85d, 0xcc88b8fb, 0x450be1c1, 0xd968c905, 0x088f08d1, 0x508edc13,
+    0xc02fe8ba, 0x1d259e9b, 0x139aa4d0, 0x19532475, 0x548ac20d, 0x17305a03, 0x00390c08, 0x74789862,
+    0xe6999cbd, 0xa0dc0d72, 0x476563c6, 0x5662e1fe, 0x83aff941, 0x84851ffc, 0x2b4e92bd, 0x8bcd98ee,
+    0x66f86558, 0xef062bf0, 0xe1963e26, 0x61e378e6, 0xc879ed60, 0x9070a423, 0xee706de0, 0xdf7be405,
+    0xc8e04dd6, 0xe1832be9, 0xe75a5285, 0x6aca677d, 0xa7dde1c9, 0x3afa1162, 0x1e133201, 0x4e28310e,
+    0xdd251931, 0xa1623d71, 0x49c4d169, 0x7b7e9616, 0xd75d3aa7, 0x8729d20f, 0x99ea7dd6, 0x198b1ccc,
+    0xec41a6cd, 0x3a8807ac, 0x1c368b08, 0x00a83ace, 0xcda4723d, 0xabec3bca, 0xbb0335fd, 0xf2cb4332,
+    0xbb6e6a93, 0xdaa7d105, 0x3513f9dc, 0xdd6fce18, 0x00543386, 0x5e2b6b3b, 0xcbfbf573, 0xca09548e,
+    0x7d05e69f, 0xadfbd1c7, 0xe00dbbc6, 0xad89df2a, 0x71273704, 0x8a79c674, 0xf2d120af, 0x1bf83e58,
+    0xc57547ea, 0xb8231860, 0xafc70cf6, 0x93a1ffc5, 0xb350d51e, 0x07d60fd4, 0x4bd88979, 0x26075b1c,
+    0x5acb71c4, 0x69a0c52d, 0x0f7c8421, 0xa83e5270, 0x8f32fdb2, 0x018704b7, 0x5019a30c, 0x2202f75a,
+    0xd33a9f03, 0x3c099364, 0x46da6bf9, 0x0dec44cb, 0x8cde93f0, 0x341ab6b5, 0x75f05349, 0xa7af7749,
+    0x9bae0de6, 0x9cba38a6, 0x4c26a7f6, 0xe5213f84, 0x6b4ccc8c, 0x375339fd, 0x55e8539b, 0x70be4dac,
+    0x0539c2f5, 0xa925b9da, 0x4a2ac1a9, 0x5d093e94, 0xef9054cf, 0x481286e0, 0xde0a93bb, 0x567a32f5,
+    0x94aa48ec, 0x4037fe29, 0x1453f8a9, 0xf4894107, 0xc9a790e8, 0x43d367f4, 0xef1497ed, 0x4d0508b9,
+    0x302901a0, 0xc8be87dd, 0x5e95891f, 0x1f6caaba, 0x6c9bb244, 0x95410158, 0x75c868fc, 0x0491e035,
+    0x8d915e71, 0x655bb319, 0x794b37e8, 0x27c6c1e1, 0xb529d91b, 0x28e3fcdb, 0x6e0303bd, 0x12f02b3c,
+    0x71c87155, 0x8cdb68e5, 0x06441c8f, 0x34719e92, 0x254ea9fa, 0xf5cfb20f, 0xdeb3ac68, 0x72c5f9d3,
+    0x8c970d9c, 0x0337414d, 0xf8a4c43b, 0x1f7a5f9b, 0xc98a2408, 0xb5c3cd66, 0x38e4a77d, 0x74c8e5e1,
+    0x9400dc12, 0x8deda62e, 0xcd4ca058, 0x2a123728, 0xbfcce6dc, 0x25c0d0e3, 0xd8f8c13c, 0x5d32d32f,
+    0xcf2ec718, 0xdb3d2fd1, 0xba25637e, 0xaeb4a1e7, 0x9c400551, 0x29619f8a, 0xdedf30f7, 0xec6ab957,
+    0x384ef7ae, 0x93909008, 0x46a1d391, 0x840a596a, 0x7298b5d6, 0xa4d6aeba, 0x96ae685a, 0x41e4c37c,
+    0x39279621, 0xd36a23ba, 0x6514ade1, 0x1e2897da, 0x310ad7cf, 0xd05b5f0d, 0x43047224, 0xbce2cb7f,
+    0xd30fac49, 0xfea5eda9, 0xacd8787b, 0x6da19fb0, 0x6f5acaff, 0x1effc4fb, 0x557e0424, 0xb8caca5f,
+    0x41d9c375, 0x22f5494d, 0x7316ebd2, 0xc03e40ee, 0xaedd5bdd, 0x1f822992, 0x30ad4983, 0x5228c0fb,
+    0xdf89df38, 0xd9fd5534, 0x655d52e6, 0xe0256a1d, 0x3eb24dee, 0x26f12291, 0xe09369ef, 0x7fc4afa7,
+    0x42ee82f5, 0x584b9ec9, 0x0e2633fc, 0x5b53a8ee, 0xfffcf9d1, 0xd15adb49, 0x5bdcb3ad, 0x016572e3,
+    0x4c6a1c82, 0x908e1fb0, 0xeae50af6, 0x2df31cc0, 0xfb6df716, 0xa801d4b7, 0x4520784e, 0xeeba6266,
+    0xcf841fa9, 0x20f21ae2, 0xd3c6f20e, 0x335aa629, 0x42f24030, 0x33c4340c, 0x0b3ff2cd, 0xb5f7032a,
+    0x28a39f3c, 0x74c79e43, 0xc7fe0388, 0xdb690498, 0xb6be067e, 0x63fc58dc, 0xdd74941a, 0x704d31cb,
+    0xdfb25aed, 0xedc23dba, 0xd150d92a, 0x209342a3, 0x5ebf55b8, 0x537ef1b6, 0xaba52363, 0x8805dbc9,
+    0x7cb7eec7, 0x88e71f78, 0x61e7521a, 0xe4838afd, 0x47d18d58, 0xad62a62b, 0x85a48aab, 0x72d33619,
+    0xdadff3ef, 0x6db2236b, 0x9d8e9847, 0x239d67fd, 0x67ef2fad, 0x009deaa5, 0xf7713f26, 0xd0b925ab,
+    0x01626bb0, 0x19e478e0, 0x2dd0cb51, 0x322c6ca6, 0x47eb9ba9, 0x070a4ea2, 0xfaa29b49, 0xaa12a151,
+    0xc5e461c4, 0x8319a896, 0x4978c4b5, 0xd6b17165, 0x4303b44a, 0x919c5894, 0x2bb3b9e0, 0x83c9b1cf,
+    0xe77c6b86, 0x920cba96, 0xec9cf617, 0x6c7bed53, 0x4a8a9dfa, 0x00322971, 0xce4c71f1, 0x0d1c4fd2,
+    0x9d98d646, 0x4e11c300, 0x6f51caf3, 0x954bc07a, 0x0704c953, 0xff4ddc79, 0x78675637, 0x9e1af557,
+    0x72e0db6e, 0xc3e9691a, 0x3bf6bf7a, 0x35a755b9, 0x2994e21b, 0xb3889ed7, 0x3ccc41f5, 0xc64a0558,
+    0x090a4d01, 0x2eba449e, 0x8833bb33, 0x308e35bb, 0x73d36a08, 0x31151cd5, 0xe0eb317d, 0xd3bb4268,
+    0x623cc171, 0xdabe5998, 0x57ac5fe1, 0x15f343c0, 0x8095286e, 0xaed95b17, 0x199c7065, 0x4987cafc,
+    0xd9823127, 0x776dc129, 0x6970a8eb, 0xcfb12ef7, 0x09532b5c, 0xd7fe1ebe, 0x68c16545, 0x0eeb5cfc,
+    0x6740ef85, 0x5df8c737, 0x48adb991, 0xf5a5a6cd, 0x04c67d4b, 0x09944485, 0xc05efd62, 0xb14c1307,
+    0x538e5abd, 0x4b94cf04, 0xd4345dcf, 0xe2612b4e, 0x83c95e7a, 0x4022a132, 0x10ebf7ce, 0xca49969b,
+    0xe283713f, 0x2c188cf8, 0x4e918e18, 0x05edb5d4, 0x4b7ce5ed, 0xdf067eba, 0x5316c826, 0xa7f27ff1,
+    0xd002f54c, 0x23b94235, 0xfe8b8ddc, 0x18c79a98, 0x13eebdda, 0xa66b00b2, 0x9f3e1e90, 0x86ea840e,
+    0xae36e768, 0x7b237262, 0x9445a148, 0x8ecc3eeb, 0x43f62238, 0x10168762, 0xcb4511ce, 0xb98c59a9,
+    0x4c81e8da, 0x39ea9c93, 0x62bca2b3, 0x3010e5cb, 0xc5e70a1f, 0xe6932733, 0x86a0fdbc, 0x421aba64,
+    0x845b6968, 0xbae89009, 0xec7c5a26, 0x98cd8d18, 0x1018577a, 0x6cbd728b, 0xf2da5276, 0x2c51b8c6,
+    0x6471a0f4, 0xdcd857f6, 0xcfa70abd, 0xf1251010, 0x76b4f25d, 0xee7444f9, 0x653ba4eb, 0x334691df,
+    0xdb0c80cd, 0x5dd47035, 0x88d24bae, 0x98aebcf8, 0x4d0cb02b, 0x4ecb9f65, 0x4fca8272, 0xadb5771c,
+    0x396ebf94, 0x000bc648, 0x636acd65, 0xdfea1969, 0x057ad97b, 0x852de237, 0xb84660e5, 0xc0931369,
+    0xb1b3d419, 0x2688b2c7, 0x8b90ef1f, 0xfc0bbde5, 0x4a4f07c9, 0xf677b89b, 0x8a39466a, 0x52d3c373,
+    0xd276d955, 0xa80ebc43, 0xf6480bd1, 0xe83234cb, 0x7a85318f, 0x47bdb436, 0x1e1745d6, 0xe49fa82e,
+    0x280e84fb, 0x26eb21ab, 0x4b6b08e6, 0x0ab4368e, 0xc7aa4c00, 0xe672c0cb, 0x2460a05e, 0xbe913477,
+    0x49d9f888, 0xe8297a24, 0x840ce8ee, 0x15044885, 0xf15a15cb, 0xfcf8d6cf, 0x712930d4, 0x316d653a,
+    0xa51cca78, 0x388a6fca, 0xe9e44ce1, 0x4ae84a9d, 0x6767c2d5, 0x82888f08, 0x06ecaad7, 0x0acc4943,
+    0x5f878f8d, 0xdaa643ae, 0x2e3a3b63, 0x12116669, 0x5bbf3bf9, 0x908b1a16, 0x164b3280, 0xf545af0f,
+    0xb3849734, 0x3e3ba746, 0x546c9556, 0x581753e9, 0x30c886ef, 0xbb5a2e21, 0xedefc35d, 0xe838cfc7,
+    0x7e061ce2, 0x428b7b2a, 0x51302345, 0x6345ec1e, 0x3321288e, 0x6ee40d6b, 0x7f0937c7, 0x57e23461,
+    0x8f72db57, 0x98bca2f5, 0xca7e7c1b, 0xfa375408, 0xf4db9d86, 0x8a38b0fe, 0xb2c2f26f, 0x4956662b,
+    0xbe84498d, 0x6676da45, 0x63cc6278, 0x3702bbd7, 0x231ea37a, 0x5ff27944, 0x69461e8d, 0xbc0f1149,
+    0x2c839452, 0xeaa5b957, 0x3a65253a, 0x29a58e09, 0xb8ba1d29, 0xf053cefb, 0x5e5467fb, 0x1d747644,
+    0x289d3e4a, 0x4ef627f5, 0x6f5eb4e8, 0x0631d0ca, 0xbba1828d, 0xd2a15081, 0xd8e12f51, 0x465bba42,
+    0x0135888e, 0xaebe997f, 0x93fafaa9, 0x1ba8966c, 0x7a33c83d, 0x5f702d56, 0x836f979f, 0x869eed54,
+    0x9e519b64, 0x65064d00, 0x96b203b9, 0x60da540f, 0xb3e21ac7, 0x0083ce07, 0x8adc9eb4, 0x99fb1523,
+    0x60a6713f, 0xb15747eb, 0x261756e3, 0x91ec0c4f, 0x60137a58, 0x79184f35, 0x3cfe9802, 0xaf8a2518,
+    0x31886dd7, 0x2ba03f4e, 0x00b3cd98, 0xdab7b63f, 0xd58e7a2a, 0xd2a2307b, 0x9370198d, 0x0d5658fe,
+    0x1d9898c8, 0xd3ef8157, 0x3dfd7f21, 0xf64d3bbe, 0x7fd82978, 0x39bcfa2f, 0x2649114a, 0x6bd0d7ec,
+    0xbb0e945f, 0x5259a7d3, 0xa38133ee, 0x18c519bf, 0x26f0eaaa, 0x5e0234bb, 0x21298426, 0x92f60c3a,
+    0x321bd9dc, 0xc09b8ace, 0x0d94775e, 0xdb6d364f, 0xdfc4f240, 0xe56c8f0e, 0x01662223, 0x65b50b68,
+    0xa32fb4b1, 0x70c34f8b, 0x15117b2f, 0xf1c3b017, 0x7d0f81f9, 0xb28700e1, 0x793b80c2, 0xea62ae50,
+    0x3a9195b1, 0x9a070881, 0xdc87da8f, 0xbbe8c4e9, 0x7f7095f0, 0x847f4860, 0x56aba535, 0x86babfcc,
+    0x605b0976, 0xe1990c10, 0xa299ac50, 0x183e32cb, 0xb6ac511a, 0x3ea03923, 0x18f7b032, 0x748f0d23,
+    0xab0a220d, 0xff989370, 0xa6553a01, 0x9e8d9bf0, 0x2467153f, 0x9d59b51b, 0xf330d92f, 0x5cf9271a,
+    0xf5740467, 0xbe430457, 0xa8fb8f7f, 0xeb5156bd, 0xdbe7061b, 0x9cab7761, 0x501b1ee9, 0xfd285c4a,
+    0x1f43820a, 0xeeca4a84, 0xd80b1b79, 0xc98342f2, 0x8e24262b, 0xed5d310f, 0x49417298, 0x3dc922bd,
+    0xa0479096, 0xaced268b, 0x10bee71b, 0xabffbc39, 0xa7d6a652, 0xa2f3705a, 0xfda4fcba, 0x23b28bde,
+    0xcdec3ee2, 0x1aff34e4, 0x28701abc, 0x5255ea5a, 0xd56e3546, 0x213f3f21, 0xe369070a, 0xb06ac345,
+    0x442858bb, 0x3bf36959, 0xc5d3d3a0, 0xf3364838, 0x5a9e4da0, 0x8b05bf24, 0x14c44a73, 0xf701c6d6,
+    0x2b943713, 0x022272ab, 0x771b3b5c, 0x6190093b, 0xc9d4404b, 0xf702eeed, 0x8f003e3c, 0x1090273b,
+    0x79676b12, 0xd2244b8e, 0x9881ab18, 0x348924f4, 0x9657413c, 0xec73a53e, 0x42512f13, 0x4a395b84,
+    0x7fa6c008, 0x25de7067, 0xf585cb64, 0xe0d83655, 0x393bb822, 0xc2bed733, 0x9f2a31ac, 0x2f993660,
+    0x5ae6aa70, 0x56cd27fd, 0x4857f19c, 0x1a672205, 0x44d54ff1, 0x2998adab, 0xe182823d, 0x7918be61,
+    0x2961eadb, 0x4a324736, 0x186a65a7, 0x896e8c3e, 0x6fad3714, 0x5d6e3475, 0x9cfd85f7, 0x3ab77be6,
+    0xf151e513, 0x280c44a9, 0x797a2347, 0x07a1df32, 0x9e67265d, 0xc6977c9a, 0x6a19a0ce, 0xd7ba79e0,
+    0xe7e58f12, 0x7921f869, 0x9a309174, 0xe2482742, 0x9cdcf076, 0xa7dd61ea, 0x911997aa, 0x6ca5b0d2,
+    0xf190512b, 0x2da4abe5, 0x10a8a8d5, 0xcb9f18be, 0x77253598, 0x6570a947, 0x0d368097, 0xd24ed08b,
+    0x8c737f02, 0xd4a1596f, 0x4c56564c, 0x748cd8a5, 0x79386969, 0x1e223f21, 0xe6b20f2b, 0x1191d0d9,
+    0xb54be92b, 0xc9417b0d, 0x974d3425, 0x9910a7bd, 0x4f5956db, 0xaf370de8, 0x7b75cab8, 0xefd3cffd,
+    0xcf392194, 0x0f91199e, 0xe59bcf86, 0x25b326e6, 0x2ac79c70, 0x5aafb196, 0xaa80ccc8, 0x67eed653,
+    0xde6d13a3, 0x02bdd74b, 0x7b992d30, 0xe4841deb, 0x2ec91fbd, 0x4b4b73d6, 0xbe4ad682, 0x9f8ef4ce,
+    0x09f9e681, 0x7aa188be, 0xa3458908, 0x9d30f0dd, 0x3ca0ab3c, 0x320b2221, 0xbe9a72f0, 0xab470284,
+    0x671dcc0d, 0xd3fc4a2b, 0xb2caa01a, 0x60c83f1c, 0xada9f342, 0xfb173ee8, 0x9dc24a4e, 0xe4d4646b,
+    0x81732d68, 0x7a9b2c12, 0xb95a26f6, 0xb486d7fc, 0xaaebaa76, 0x733150df, 0x08ce3e57, 0x26dbcac6,
+    0x3f3f98f1, 0x93da6e34, 0xfb1bdb42, 0x393542a6, 0xa47ff106, 0xbff2ff9b, 0xc045a8a0, 0xf47ed597,
+    0x700f0c5c, 0x8c01a8ff, 0xed40e611, 0x72169aba, 0x957f7afd, 0x9b4811ac, 0xb41df910, 0x70f3f07f,
+    0x3ef88a71, 0x77763d04, 0x77edef98, 0x2f946fe9, 0x8ade5065, 0x87488b18, 0xd3d525c8, 0xa93e9a00,
+    0xa85b0f7b, 0xf81956da, 0x76717f9a, 0xaecbb80c, 0xefdaa3d5, 0xc9974ed3, 0x011c9926, 0xc097ad08,
+    0xba78ec2e, 0x51d164bf, 0x46b9cdf0, 0xfaa3184b, 0x4c48fdc8, 0x00a26f3d, 0x31eca04a, 0xb28072ef,
+    0x87ae787b, 0xfdfa79a2, 0x03eee4ea, 0x75bcc062, 0x710cad6b, 0x0c67fdfd, 0x3f4be0f3, 0x3b7382b9,
+    0xa0f833a6, 0x3adb26a1, 0x261b340b, 0xb2660b01, 0xcea49279, 0x955aac6a, 0x87f3f6f5, 0x731ccec8,
+    0x34c9e4bf, 0x779308c7, 0xf4a1f52e, 0x0998b750, 0x4d29dca5, 0x942c5452, 0xe3a41736, 0xb5613470,
+    0xfa1616e9, 0xfffa774f, 0xe8689225, 0x77e4068d, 0x8b2c5b3c, 0xebd20a47, 0x5eccbd84, 0x74e0de21,
+    0xfe2e8b0e, 0xe64298de, 0x319a76b5, 0x395f8184, 0x26f0f72f, 0x2a5926c2, 0x3f1b75be, 0x8cafce20,
+    0xaec7e60f, 0xa0a500c7, 0xe35d7959, 0x781ed658, 0x611312d2, 0x4cf0c87a, 0xc6487045, 0xc79a199b,
+    0xbaad0bad, 0x1c772ac8, 0x46821323, 0xc3b12e14, 0xedc0517d, 0xce54a90f, 0x97d6f34e, 0xfc250aa8,
+    0xceedcdae, 0x43a9a079, 0xb815c74c, 0xbbccc83f, 0x6f954a68, 0xf548841a, 0x6ed32407, 0x844f3d32,
+    0x4e0483bd, 0x84805666, 0xdaf7f3f1, 0x29c2d7d9, 0x1357691a, 0xd3b411a2, 0xde03dfe7, 0x3d7ec0ce,
+    0x0ec629e8, 0x1acf29f0, 0x44bda95d, 0x58aa882d, 0x54eae202, 0x0899a020, 0x4a233677, 0x9e865a81,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000033554432 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x035269e0,
+    0x00000000,
+    0x9173919a, 0x056faab9, 0xde7dce55, 0x439ec3c6, 0xd308a9f0, 0xaf9b56fc, 0xa1d21c01, 0xca6076f8,
+    0x364b6bd0, 0x06db10e5, 0xc045f4d8, 0xfa7ff98c, 0x8a40a3d6, 0x044483fc, 0xb30c4444, 0x502715fa,
+    0xffe7d944, 0x047e47e1, 0x621e00b4, 0x49f49d44, 0xc448fc0d, 0xc431db90, 0xefc21cd7, 0x12461bde,
+    0xfdd38cd0, 0x57c80b3a, 0xeeda524d, 0x4a23db65, 0xf96ab1ed, 0xac168b2b, 0x0e6c5b1d, 0x7f7c1bf4,
+    0xaca61fef, 0xd9ef0834, 0x60e41daf, 0xba0ad172, 0xae8f69f8, 0x8b51e846, 0x9ea27700, 0xfef6ce3a,
+    0xb83f4f61, 0x5691b643, 0x8a5ae89d, 0x010344ab, 0xa77e1167, 0x20d4f7db, 0x0c56599b, 0x14ca520d,
+    0xcb947778, 0xe5bb0da1, 0x0dcd64f2, 0xac6130e5, 0xed935a26, 0x391a94f8, 0x4b76ccd7, 0x25e1ee4f,
+    0x2ba65376, 0xd6e96129, 0xc3016ec7, 0x2b5aefaa, 0xe845e0bc, 0x066af356, 0xcef1d290, 0x11f5b9e7,
+    0x2f82c302, 0x3e173ea8, 0x99d57a7f, 0xa570a5e0, 0x4e546304, 0x4f94cdeb, 0x3d2df3fb, 0x57bf039e,
+    0x1996bfbf, 0xfd0e90fe, 0x6dfdacaa, 0x2f54cdd5, 0xa0df20a1, 0xbc30f062, 0xd4d654a8, 0xbebdd247,
+    0x5c95ac66, 0xc3ced1e1, 0xbdde75a7, 0x70fd06c0, 0x4016a68d, 0x94ee0c8a, 0x5f19d5cb, 0xbc8219e3,
+    0xd0620cf9, 0x46e817e1, 0x65e57f04, 0xf8d483c7, 0xdf7b3f0a, 0xdfbbf45a, 0xb029b41c, 0x3c5c1495,
+    0x3e1cafe3, 0x2a8b061a, 0x75a6533b, 0x226b1dfd, 0xc48bb9af, 0x1f8a5006, 0xef5d04ab, 0x56341ea1,
+    0xfe1b2e9e, 0x0c631578, 0x71bff2e5, 0x5894654f, 0x740831e6, 0xa2861e93, 0xf765d73d, 0x97ddc406,
+    0x94e10bab, 0x39e43cb9, 0x3cadedb5, 0x7215a508, 0x089d3cd2, 0xa2eb287b, 0x4e09e03d, 0x6f85d754,
+    0x387d71f1, 0x607b3ba1, 0x0e0e16b2, 0xecf8cd1a, 0x3ec5599e, 0x80dd1ecf, 0x5bf7fe34, 0xcc5fae7a,
+    0x7ffcd69d, 0x828e1cc1, 0xa9dcdaee, 0x587dcfae, 0xb66b2b59, 0xe4bca732, 0x753fcfae, 0xbfa429e3,
+    0xad2893d9, 0xe498ea9a, 0xcc0e919c, 0xeabfa317, 0xcb68e845, 0x3e22d010, 0x25f79ffa, 0x901d35ba,
+    0xefc1a05f, 0x149de820, 0x385863f2, 0x604b47ce, 0xe47c94ed, 0x8a1119b5, 0xb8396ce7, 0x32591711,
+    0x9275e058, 0xfd952e75, 0xc1dab247, 0x6baa2d0d, 0x0a359d48, 0x2b696007, 0x4a4119f9, 0x2506addb,
+    0x442595eb, 0x876d6698, 0x7a4d4f27, 0xbd101078, 0xba0d04b8, 0xfeca1565, 0xef02de0b, 0xf90902d5,
+    0x229ee679, 0xd24682c7, 0xf23a50fd, 0xf20d8247, 0x1431c6c2, 0x937ded6d, 0xfb815392, 0xb54bc790,
+    0xb9b45f1c, 0xcb9c3652, 0x80dc8330, 0x120738df, 0x8efcefba, 0xb9562a37, 0x9b0a312b, 0x1c8126e4,
+    0x0e78327f, 0x1af834e4, 0x9c083960, 0xb845dfe2, 0xd90d4ee1, 0xda3014a8, 0xc30e236d, 0x3c0d5642,
+    0x3cb053aa, 0x72aa1040, 0x45a85248, 0xf8cf9998, 0x9f370e70, 0x8c80ec06, 0x453e991c, 0x5c2e4c53,
+    0x32063481, 0xb5a3fd28, 0xb85cd374, 0xc3ee1386, 0x9ca6bf24, 0x2c4366da, 0x822a5b41, 0x09e2e99e,
+    0x56211239, 0x0067f308, 0x9b1ba302, 0x2cc2d7a6, 0x1e0f9b6c, 0xf91e31b4, 0x0524fccf, 0xe2d469f8,
+    0x860da0b7, 0xb36a2594, 0x41022507, 0xb4823e19, 0xde4d1bc6, 0x63372f33, 0x9919bfe5, 0xd56702e3,
+    0xfd7fb9a1, 0x1e266439, 0x08f8c1ec, 0xb818be6f, 0x377f43a3, 0x5ac1b6c8, 0x3e17019f, 0x3a3dedc0,
+    0xf645af72, 0x1c5f2d85, 0x5a322406, 0x043f8c73, 0x3d305a53, 0x195778f0, 0x45272f88, 0x96805fce,
+    0x6912b08f, 0xff3ebdb8, 0x661d3822, 0x813e32b9, 0xff631dd6, 0x8d137a3e, 0x3f06faf3, 0x3ec35c72,
+    0x2902e2fb, 0x40e685eb, 0x0652a3ac, 0x9d95d239, 0xb00844b9, 0x12349ed3, 0x153225d7, 0xe6645bf5,
+    0x01ca0808, 0xd7b6ac42, 0xb2f33a7d, 0x4c527c84, 0x0b07fe97, 0x2c01c3fe, 0x567268ee, 0xab9548ba,
+    0xa1b1fcff, 0xf1163381, 0x75534508, 0x5e4c90ee, 0xc8d57258, 0xeae94d7b, 0x093304dc, 0x934b83f2,
+    0x5e67bc36, 0x2b3770b9, 0x5ff6c829, 0xdd4ad789, 0xdac3779d, 0x26f9d071, 0x1c34dd22, 0x54d96c6c,
+    0x8cd90b9d, 0xf7ac1427, 0x0d039796, 0xc5c637cc, 0x08d5e14a, 0x2ef3762d, 0x7dd82291, 0x2b7e4102,
+    0x973b32b3, 0xe9c58770, 0xa98f6675, 0xc39174f6, 0x3dc74fa8, 0x2b51c040, 0xf9983519, 0x5227a84d,
+    0xba53fee0, 0x5053c191, 0x2f5e6ec8, 0xcd60f8be, 0xa8f393e8, 0x6b3ab30d, 0xd6af2214, 0xc18e718b,
+    0x67783222, 0x6fafe728, 0x1919b5b9, 0xb0e537e9, 0x256f46f8, 0xacab41e8, 0x42172720, 0xf6df861d,
+    0xa1311684, 0x6f7d9cd5, 0xcc58b722, 0x2bb1ccf0, 0x1bf42d02, 0x6f7c3921, 0x34a4d82b, 0x8922e3ae,
+    0xe58c898e, 0xdee87326, 0xf746e822, 0x57169149, 0xeaf5797b, 0x089f8f68, 0xc72fb91a, 0x505340cf,
+    0xddea03dd, 0xfd893107, 0x4c34f125, 0xd3d1be43, 0x4523f9df, 0x1b2cd2cf, 0xcd352dc1, 0xe5bc9dbc,
+    0xabfaa179, 0x6eee0185, 0x2b4795d8, 0x6666bf8b, 0x2fe64909, 0x662bd79e, 0x7448729f, 0x1810c173,
+    0x3c29c2c2, 0x89bfbe5f, 0xa5b82383, 0xbb198d77, 0xd0bbe22e, 0xc63f5497, 0xc2b35526, 0x72e51ae3,
+    0xed8ad23b, 0x5a535425, 0xab7db62e, 0x1c176ab9, 0xf068f093, 0xc105d082, 0xda1f95b7, 0x0e07bb3f,
+    0x4d6d7585, 0x38d02566, 0x47c18ae8, 0xaabb28d2, 0xf55c4435, 0xb07ab2b9, 0xb86135d4, 0xa25edd99,
+    0x6adaee60, 0xcd3805ee, 0x6f6549fa, 0x26a77e86, 0xb5c0fb25, 0xac550ccd, 0xdfb3fa3b, 0x0ef3e6d1,
+    0x20100121, 0xfbcad86b, 0xaabd82b3, 0x242adb1a, 0x0ee6c2c1, 0xd64fd738, 0x9a0fa753, 0xdda730e2,
+    0xa35f3e99, 0x14dd5002, 0x13d16c8c, 0xb7930707, 0xb8e4df67, 0x10409651, 0x206531d1, 0xec51b116,
+    0x8c0b5f26, 0xb774240b, 0x094eb969, 0x10d7c441, 0xd35b88fc, 0xf9e8c39f, 0xf83dc81f, 0xc5fb1d29,
+    0x77ff290e, 0xfac1cbe0, 0xa331dc9d, 0x8f42316b, 0xd28e57d3, 0x99db3822, 0xcb905181, 0x252a992e,
+    0x673cc3ac, 0x6f557dfe, 0x1406a2f5, 0x0722617a, 0xafa0783b, 0x1ab8460e, 0x5001f414, 0x3e3ecc7d,
+    0x6b2f627b, 0xc0100d85, 0x59c7c1a3, 0x6142696b, 0xcf7b385b, 0x681bfbc4, 0xbd249b53, 0xf2127622,
+    0xa2bf62f5, 0x9ae26d65, 0x19697452, 0x9286d9a4, 0x4c971e39, 0x5f5fab89, 0x3910f1a3, 0xec9a73f7,
+    0x913573f8, 0x978d5f9d, 0x540af9f3, 0x4f229488, 0x83a2eb03, 0xa6900b48, 0xcb4e194d, 0x119cec7c,
+    0x362ff008, 0x129f12b8, 0x5a1c2f04, 0x19eb10ef, 0x85d657b8, 0x1cea3cba, 0xc1601774, 0xe4708bfb,
+    0x28c8864d, 0xc03d7e45, 0x45a52c45, 0xe280e626, 0xef10fd43, 0x0ad5da26, 0xdb846d2d, 0xe6361505,
+    0x94062cb8, 0x3d383c2c, 0x6aa04379, 0x2b98199d, 0xda2c0c01, 0x7666c769, 0xbef8cd2f, 0xe78987a0,
+    0xd76b941a, 0xc107810f, 0x979ce4ea, 0x571c1c16, 0x7371a429, 0xf6f71d97, 0x23a82966, 0x4f307ffd,
+    0x4e56e400, 0x0927bb4f, 0x1ef5cca0, 0xf4fd13fc, 0x4e5d370d, 0x4ee62144, 0xe825d771, 0x252065f5,
+    0x53fea59a, 0xfe715698, 0x7490b152, 0xa9e68d84, 0x694cc551, 0x160fac0e, 0x9bbe9737, 0x1be00e37,
+    0x583b9f4e, 0xf947986a, 0x864c1126, 0xc816c295, 0xef96a8d7, 0x95b65a4d, 0x4abf1ce3, 0x324193c3,
+    0x2a2c24af, 0xfe2b3c00, 0x6368e828, 0x6bb75f0a, 0x2d239946, 0x55038873, 0xefb95d21, 0x6414ddd9,
+    0x6d140a82, 0xbfbb7be8, 0x78155a57, 0x3902584b, 0x57bdb169, 0xb60a2f52, 0x9b7b8f6b, 0x574ff981,
+    0xdf88d344, 0xbe4e8b93, 0xc58befa8, 0xe726fe20, 0xd79ab445, 0x9321a326, 0x67a9e6ee, 0x3e801cc0,
+    0x51d8e557, 0x98bc7b46, 0xa74b9008, 0xbb26e5f9, 0xb94f7eab, 0xe4ada403, 0x160d70cc, 0xac5c2480,
+    0x65308a1f, 0xf550a04d, 0xa47a8b18, 0xf7a71147, 0x7c6862d8, 0x41468f06, 0x11946f76, 0x2d77a56c,
+    0x0eb90f65, 0xf56a75eb, 0x41b9e15f, 0x0ed217f8, 0x9e5b7945, 0x5021bb70, 0x34ef6717, 0x8d74e1e9,
+    0x87fd2ab4, 0xc42723eb, 0x4bca5a07, 0x2c6e3dae, 0x2945b2c0, 0x5c06c183, 0x4a55db68, 0x8db545a5,
+    0x3632eb1b, 0xa5b0d694, 0x127cab3f, 0xf58a4577, 0x8bf4970c, 0xfb824683, 0x59795ba4, 0xb256509a,
+    0x9b2a5b8c, 0xddbec0e0, 0xfdfcc548, 0x370a1d2f, 0x92aa8856, 0x42e6325b, 0x2b3178f7, 0x03cc425f,
+    0x6a74890c, 0x5e21fc29, 0xab347f99, 0x65c9e369, 0x7daeb304, 0xb795d55a, 0xfaed7b90, 0x636199cb,
+    0x5603e7eb, 0x6a862adb, 0x56e36735, 0x87ae81c6, 0x40d2fc29, 0xd49bdab5, 0x759e70f3, 0x4875445e,
+    0x6ac5d337, 0xe614ba04, 0xf2cabaab, 0x834d20b1, 0x9e0e86e1, 0xf0247a48, 0xeeaa8a8b, 0xdbb60f27,
+    0x99d0a614, 0x80413611, 0x02395f32, 0x59791786, 0x4a94526d, 0xb76edbc2, 0x4c7a4ace, 0xc762e12f,
+    0x078fdeaa, 0xf988643b, 0x1960fe87, 0x20065664, 0x9ef5e396, 0xe0cc12b1, 0x31a4d7f6, 0xc10e5daa,
+    0x71d697ea, 0x539546a7, 0x7ed986e4, 0xf3b6b6ce, 0xa213f9a6, 0xa8d9d546, 0x93bd03b1, 0x16b6fee4,
+    0xb3fc2499, 0x63b0db8d, 0x424d199f, 0x416734ec, 0xdf2814e4, 0xce11eeaf, 0xf9b87673, 0x6a07841b,
+    0xb8d8379b, 0xa8a55ca9, 0x7065c654, 0x7afa6210, 0xbd2266ec, 0xa61331e4, 0x0ebfe202, 0xbceb149e,
+    0xae0293e5, 0x499094be, 0xada25b97, 0x22cdc8c8, 0x4c35d7dc, 0x283a310a, 0xb3d0ed15, 0x3b31b424,
+    0x02cf06e8, 0x0e981db9, 0x084b6a39, 0xd8f4b8c1, 0x9d6700e1, 0xac2f43c0, 0xc5382762, 0x2e6c189e,
+    0xa95226da, 0x7036cb54, 0xdfbe7663, 0x9a0a8629, 0x1ed8c3ea, 0x09e1fbc8, 0x0f2f8064, 0x9a4bd3b3,
+    0x2eb8b18e, 0x64f803d8, 0x31741115, 0x2a977a52, 0xd2c2d71d, 0xba6da460, 0xe2995e80, 0x0341fedf,
+    0x9108358e, 0x034c6c22, 0x8702896d, 0x9ea55d3e, 0x52eb544a, 0xc2ee95c4, 0x67af6445, 0xd7a2f74b,
+    0xcbfb8b0e, 0xffd7a8da, 0xb93b9b90, 0x7f827890, 0x40b8b9cb, 0x111d31dd, 0xddeab3bc, 0xf2d6d79a,
+    0xbafcd6b2, 0xe422a64d, 0x33671768, 0x79d376ba, 0x4913c3ad, 0x5ee6c627, 0xbaf0f9da, 0x0a58b93e,
+    0xa20770d1, 0x9c8efccc, 0x55f693b2, 0x81862063, 0x94dcf9ac, 0x9e9067ca, 0x9eebd93a, 0x05e702be,
+    0x8ef77a6d, 0x4a11ef34, 0x5efc5906, 0xa15a2c9f, 0x0dfb909e, 0x2192ee9b, 0x77993779, 0x8685722f,
+    0x5095535e, 0x5422ba1d, 0xf20612e5, 0x0c6a7dc0, 0x63ec4d6d, 0xb5ad5cfe, 0x065c473f, 0xd0918f5f,
+    0x08572a4d, 0xfaf5a075, 0xe4455e57, 0xbb7b85a1, 0x41ce0ce6, 0xfed87b5f, 0x6cb74929, 0xd195d865,
+    0x973bcb1e, 0xde23115d, 0xdea0499e, 0x893477a7, 0x8e1719d6, 0x098f6d56, 0xe8992136, 0xbb54077f,
+    0xd29e836e, 0xd6e1c563, 0xeab604c2, 0x17cba5fb, 0x697517d2, 0xfe13fe22, 0x03364e30, 0x16adef82,
+    0xd90bd96d, 0x8527f803, 0x60dc3664, 0x4cb80107, 0x4911db19, 0x1b8a9352, 0xb09aab19, 0xce172141,
+    0xf3f9c2be, 0xc3a006c7, 0x0c3552bd, 0xeda08fae, 0x214452d5, 0x6e458eca, 0x372eb868, 0x3d5f61c9,
+    0xf0609f03, 0x64a185b2, 0x4f38890f, 0xd73bdf69, 0x716ca87f, 0x0495a859, 0x4ba598c4, 0x3f079540,
+    0xacb531bf, 0xcfd72521, 0x628e3257, 0xf3afead6, 0xfb590044, 0x38b79e25, 0xb6a8e43d, 0xe1c24e36,
+    0xf828cf8d, 0x9349e1dc, 0x3196ded0, 0xfa73b2db, 0x8684b171, 0x037301a2, 0x197e9184, 0x48017df6,
+    0x6686ce8b, 0x5bb19b23, 0xff496d9a, 0x189a220a, 0x2353283a, 0x4ed85457, 0xdca96528, 0xf3a173c2,
+    0xd5bdca68, 0xfcaa8a1e, 0xf10137a4, 0x47634f6c, 0xd655d86e, 0xf660825d, 0x60283d5e, 0x8bdb686c,
+    0x2a6a0495, 0xcda65c79, 0x082c0607, 0x393223d4, 0x369fd4cb, 0x2718143e, 0x93072131, 0x38649adb,
+    0x2358e91c, 0x57255d5a, 0xe8ce5a41, 0x96a1f1b0, 0x1296d469, 0x80017770, 0xa4ae5690, 0x9895abf7,
+    0xccf5cb5c, 0x32dcbba2, 0xfc91a2cb, 0x91b04241, 0xd8d5b881, 0x6942fb80, 0x6e4ccfa3, 0x6a1093fb,
+    0xd7b6be33, 0xd1e25593, 0xaebd782f, 0xaf75397c, 0x227fe3f1, 0x60d2c656, 0xdb42d46f, 0x526b4c76,
+    0x666c04a5, 0x95f77017, 0xf2771419, 0x0f13febc, 0xb07f9507, 0x876ccf45, 0x43eb3f66, 0x293911db,
+    0xe2a520e0, 0x794578e1, 0x3a33b0af, 0xd65b4732, 0x5b7136dc, 0xa2cf9565, 0x78b139b8, 0xbb6b0da2,
+    0xa39cd3c3, 0xdbdd1a47, 0xb1d4bd77, 0x5ddaf0da, 0x5d32969f, 0x12faf629, 0x98c8aa6a, 0x026d13f2,
+    0x0624cfbb, 0x4f170541, 0x537c6c38, 0x980a8a2e, 0xf4c1aaaf, 0xb6b3a95a, 0x011be64d, 0x124d918c,
+    0x9f1e5794, 0x9ffc540e, 0xbb466d80, 0x97977bfc, 0xedeee99b, 0xe6f1feae, 0x4d43f834, 0x2350535b,
+    0xa2286a78, 0x252cda4e, 0xa0064f2a, 0x94d2d5d5, 0xb908966e, 0xc2156792, 0xcfb70f62, 0x260ff050,
+    0x70f6b920, 0x7900182a, 0xd2ac9120, 0x5b1d003c, 0xfbe1ca49, 0x99a1794b, 0x267c4f4e, 0xafc6b59c,
+    0x93ad9a86, 0x1baa1a76, 0x58f03334, 0x8513523d, 0x30664361, 0x28c49d76, 0xd8e79e6b, 0xb2b63e5e,
+    0x24227815, 0x03a062f5, 0xc9d0c2f2, 0x04abc2a4, 0x2ddc2c28, 0x0805aad8, 0x18d1ef02, 0x59aaa4ea,
+    0x61407ff7, 0xf806d4f5, 0x218b3356, 0xa020ed97, 0xb1a38550, 0x3db1b365, 0x976e21ce, 0xcfbb403c,
+    0xf657569d, 0xf5527352, 0x472564b5, 0xe9fd7f31, 0x51a11a26, 0xbaf209e3, 0xa2261e6f, 0x7f067e64,
+    0x47293f0d, 0xdfeeda83, 0x0a6c5a79, 0x2623ddfd, 0x7eddb31a, 0x28deedd6, 0x3df5baa1, 0x4f92b5d3,
+    0xe3b25b14, 0xa3ff8303, 0xcda6ad0e, 0x5fb5ae54, 0xaf63025f, 0x7918951e, 0x97fe0427, 0x075749c5,
+    0xbaebe460, 0xae7711f0, 0x1258f78b, 0x56dc546d, 0x325087e2, 0xff0a4b59, 0x5524db4d, 0xebc1ea97,
+    0x2f8d2940, 0x42b1c84a, 0xf3e6f4be, 0x6b8fd7c2, 0xeee95ac4, 0xc35c73c4, 0x06d2f958, 0xc38ae56c,
+    0x2896f42f, 0x7c39efe9, 0xee473f2c, 0x06ef8386, 0xd28ade04, 0xda43b7e5, 0x3739ecb2, 0x15b6b6a7,
+    0xe6ea922e, 0x1e7f7520, 0x35fe0894, 0xab51b6dc, 0xfcecbe48, 0x552dc7d3, 0xdd3e8fbd, 0x42bf423c,
+    0xc989efd2, 0x03fc901f, 0x388cc9bb, 0xfd6464a9, 0x22aedf88, 0xeee5b34d, 0x08194d40, 0x82270000,
+    0x2f85d0e0, 0xab49fe95, 0x318b41a0, 0x6848ccf0, 0xb18c2d92, 0x72bc422c, 0x8a75cf2a, 0x27dcf9a3,
+    0x29ed40bb, 0x9f5ea59b, 0x889c191b, 0xfb45abf0, 0x511db0be, 0x169ea3d0, 0x69ef5ba5, 0x3e51881e,
+    0xe0f8abce, 0xe47c078a, 0xa1faa569, 0x7f1ce1fd, 0x8ab89aa0, 0x985fb567, 0x3bfa445d, 0xa9f6ce82,
+    0x18fed419, 0x7b36c711, 0xe77c9178, 0x124360cc, 0xc921e692, 0x983ceb0c, 0x0491fcd3, 0x871d1c0f,
+    0xf06aff40, 0xc704b58c, 0xafcef3ac, 0xd8529cda, 0x2d836162, 0xf398dfff, 0x5341aa4a, 0x3659f22f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000016777216 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x01a934ef,
+    0x00000000,
+    0xc0f71767, 0xe5ded62a, 0x842994ac, 0x3a7f0e40, 0x31b4e55b, 0xe541c7d7, 0x9d7096c7, 0xf5931eeb,
+    0x52a08399, 0xffad5af9, 0x684028b4, 0x7ee0c458, 0x0c571ef4, 0x35334429, 0x1a89ca24, 0xd4786d41,
+    0xea49e7fd, 0xe88e5325, 0x87b8e657, 0x9b639eac, 0x0b6bb33e, 0xd9e1fa5a, 0x0df5f091, 0x0feebdf5,
+    0x077f4d0f, 0xf17e7cd3, 0x86b7904f, 0x48cd7968, 0x3b40c98b, 0x75b84a28, 0x11aaaad9, 0x0434343c,
+    0x08795259, 0xc399f2b1, 0x04e9abd1, 0x97d93b38, 0x7fb07e98, 0x97ec5618, 0xf7f0dc98, 0x7a19a6ac,
+    0x8e3b9f25, 0x810edcc7, 0xbbb282f4, 0x0e607c9d, 0x85cad723, 0x64da9ac7, 0x19adfd3d, 0xc976f8c7,
+    0x2eafee03, 0x6b65eacf, 0x0feb13c4, 0xe098ebe2, 0xb7cdb3f0, 0xfc86c174, 0x72d122b0, 0xa07a0c3f,
+    0x9537c07e, 0x1b914d35, 0x0835b657, 0xc53e66d2, 0x120a7fad, 0xe33c7883, 0xd982d1a1, 0x662fa191,
+    0x3a37aa48, 0xc436cc9e, 0xa0fd99fe, 0x103d9f58, 0x937cb609, 0xda16b064, 0xd641c6ff, 0xd0cac98c,
+    0x52fd82eb, 0xd2f33132, 0x609b8e04, 0x89b34ba9, 0xa328eaf5, 0xdac7aa2b, 0x4a51c1ea, 0xd3b04ec8,
+    0x0889054e, 0xc8042ce6, 0x691b3dac, 0x85385c29, 0x24edc38c, 0xe3f8713c, 0x0926cf2d, 0x8ae966bc,
+    0xf9cba6da, 0xd9652603, 0x28636061, 0xfb00b714, 0xb25da8ce, 0x5bf6fe52, 0x041e894d, 0x1dd58705,
+    0xad5632da, 0x3e248c49, 0x660731ea, 0xe6b01839, 0x4e7d0761, 0xa88a5767, 0x961bf786, 0x11a2ce60,
+    0x264b436a, 0x601b7b89, 0x09393fa4, 0xc8999afe, 0x18e440e7, 0xfe474155, 0x08ff15f7, 0x4694c611,
+    0xb1831e6a, 0x28088092, 0x0c536c51, 0x1b162567, 0x251e1331, 0x86672ba5, 0x4f22d020, 0xf6f968ce,
+    0xff6203a1, 0xb174fdb0, 0x0f50a4c6, 0x6ab7814e, 0xeb87b104, 0xb3a087af, 0x3947c6fe, 0xc37c774e,
+    0xc60cb759, 0xc3026d0b, 0xf8e77849, 0x66c0737a, 0x77706b87, 0xcdbcd7ef, 0x2b893825, 0xe86ce91b,
+    0x49746430, 0x3ddcb56f, 0x77669937, 0x21915211, 0xfd628491, 0xe1299a08, 0x39f5bffa, 0xd1c99161,
+    0x6d835391, 0x6eb643aa, 0xa57dc51e, 0x57922e86, 0xe35dbc09, 0x54e63212, 0x27bf46a5, 0x59eff05f,
+    0x75db5ce6, 0xb57af989, 0x1d683ccc, 0xe389728f, 0xcfcfc993, 0x0cdb2ba4, 0xa1f0f657, 0x3d5ce4f9,
+    0xdf155f30, 0xa373ab12, 0xade090fd, 0xb15cf16b, 0x197eaa35, 0x3e5a05ec, 0xa3a8ad3c, 0xf66eeef4,
+    0x2749075a, 0xd3bf36c3, 0xe74f3e09, 0x0c04e5f6, 0xcd3a9ad9, 0xcca04ebc, 0xd0bb8b11, 0xdb2f60a3,
+    0xd8afb2d1, 0x4301cf77, 0x83d85f58, 0x4df2f347, 0xd5ae7a00, 0xa45295d6, 0xc9ad8360, 0x780b0c15,
+    0x778b90e7, 0x9e30790c, 0x80020cf9, 0xd5d58f15, 0x4c69096c, 0xab018f2a, 0xcaeae4bc, 0x02836991,
+    0x9a8d0b2f, 0x3eade0a2, 0x408013ae, 0xe550fa56, 0xaca783fe, 0x9c6d6c76, 0xac1b45a6, 0xbf3fd7df,
+    0xeaae2ea7, 0x8ac017fb, 0xe4fd89ba, 0x0c04e25a, 0x926cd4c6, 0xdf4d8620, 0xbb03497c, 0x2f5e655a,
+    0xa4b19e0b, 0xaea98e52, 0x66464814, 0x0abdfe81, 0xdf93b666, 0x3082e957, 0x6825ebe3, 0x521ddaef,
+    0x76732121, 0x1bce8321, 0xbadd0736, 0x91a278c4, 0x5da77e2b, 0x005ebb96, 0xb1c271c3, 0xde1acd03,
+    0xf4c8af40, 0x65330cd7, 0x502b94dc, 0xb39b9878, 0xeb5335be, 0x46614819, 0xe90d44d1, 0xee605101,
+    0x5d62852b, 0x7d88f57d, 0x671b9f5d, 0x7a6857af, 0x88eb9561, 0x74ad0d1d, 0xac744513, 0x29a8177d,
+    0x516eb77f, 0x78135b36, 0xd9283689, 0xb0a7801f, 0x26080e7c, 0x0241a315, 0xe12ad909, 0x358dca1c,
+    0x49eaf864, 0xd37b695b, 0x9060196b, 0xd6a6ffaa, 0x28941467, 0xa34b7f79, 0x794e90ef, 0x88a359f3,
+    0x4ca1bb86, 0xa73245fb, 0xbfb7520c, 0x4d1b45f3, 0x2b44de68, 0x73e18cde, 0x33d9b57b, 0x9aca31a9,
+    0x2befa540, 0x3e59e814, 0x8ebe801c, 0x24ace8dc, 0x036eed77, 0xa282ff73, 0xbdcce9ad, 0xff84ffe2,
+    0x7219dfcf, 0x65b327ec, 0xc48b00a2, 0xc5fee6af, 0xdd1a2d4e, 0x01d06cd8, 0x2b53d309, 0x8cfd9b93,
+    0xc2138c95, 0x946b71df, 0x5f6d21d4, 0x23bc1664, 0xe2f0bce5, 0x9a7e36d8, 0xf6fdc55c, 0xdff14e6a,
+    0x2a15ca23, 0xb7512daf, 0x55ce136e, 0x0fd02a7c, 0x3413daa4, 0xe3546cf0, 0xe0d104dd, 0xe7c4a372,
+    0xee8bfcb5, 0x5814a939, 0xc9639f84, 0x91f18ad1, 0x90dd8d81, 0x072af864, 0xcc37097f, 0x2a41ee41,
+    0x5d13853e, 0x9f968129, 0x1b21e84d, 0x84b904e5, 0xd5493357, 0x9af947af, 0xd3c55111, 0xbc4242fd,
+    0xcafb0b29, 0x2df5be98, 0x56a87be8, 0x3e2cb9bd, 0x633a697e, 0xcaff051d, 0xb11c8ad8, 0x1aec7fba,
+    0xa55a2741, 0x68573f56, 0x03618f39, 0x470bcea1, 0x02eeffa4, 0x8d644573, 0xe480cb20, 0xe37fe232,
+    0x8a569692, 0xb5ed35fe, 0xd0c8fd03, 0x63eb04ae, 0x197c265d, 0x2dd1ab33, 0x63e5fbd1, 0x6ae2e81b,
+    0x351f7704, 0xdb08d1b7, 0x7581e461, 0x4e675193, 0xed3854b2, 0xf04362bd, 0xdada50c7, 0x39189d43,
+    0xc1acbb0b, 0xfd5e9a81, 0xab9de645, 0xf4e763f9, 0x244b06b9, 0x999e01f1, 0x7a5bde4e, 0xe5e379dd,
+    0x5a71c1dc, 0xb8623bc0, 0xaaca1cf0, 0x423db62d, 0x1299b900, 0xab439c0e, 0x5d5bbabb, 0xdfe1ef93,
+    0xf6472fb1, 0x3d2b34dd, 0xf128e4e2, 0x790327b5, 0xe646891a, 0xbd0a8133, 0xcbd401b1, 0xfa179902,
+    0x3cf894d3, 0x27241033, 0xe7f79f81, 0xd1c43ba3, 0x0bb6342e, 0x503aa1a9, 0x4f4490db, 0x28f4ab7c,
+    0x71fcbb42, 0x6e5b7054, 0xb1026505, 0xf922d867, 0xa60df804, 0x96e237e3, 0xc24e45b9, 0x325b6cd1,
+    0xbdfdbbc3, 0xc37c3b4c, 0x4232c61b, 0x8f2231bd, 0xb81e5267, 0xcf9b1b70, 0x9e8b6bd2, 0x4756d036,
+    0xfff6565a, 0xc0348207, 0x72009927, 0x5d588e16, 0xdb2cb74c, 0x23f8f261, 0x7b416d93, 0xdd4d3c73,
+    0x96579cc9, 0x7ea1074e, 0x1f2fbd91, 0x356310b4, 0x611cc31b, 0x9a1f0847, 0x3cfe8eed, 0x0214d9af,
+    0xfbc4d784, 0x3dd0f8e3, 0xfc97c203, 0x99d48c50, 0xdfe5c687, 0x98b814eb, 0x0d7551ba, 0x6dde74b8,
+    0xba3c3bd7, 0x7377e1b8, 0x4fa80402, 0x3d1617ef, 0x90bd7067, 0x65880894, 0x6596e0d0, 0x198cc66b,
+    0x8a4e4de0, 0xeced412e, 0xb20426a3, 0x4faa4028, 0x863caf41, 0x740dc7f0, 0x56583bd2, 0x61737327,
+    0x1b9bd03b, 0xf5843ae8, 0x9bd808b2, 0x05b832dc, 0x1c7e57be, 0x531996ff, 0x78884134, 0xc9924239,
+    0xa520e49c, 0x8ea1b5e8, 0x9e5b9ffb, 0x87e5ea93, 0xce6f035a, 0xb5d3f036, 0xb39209fd, 0xe1ec4bbb,
+    0x2ab48b66, 0x2e0e688d, 0xbc489405, 0xc222543b, 0x615fd6e7, 0xdea1caab, 0x2e6df879, 0x689e715e,
+    0x8a52796c, 0x10868312, 0x10c7e581, 0x8d0ec749, 0x06f9280d, 0xf0275159, 0xc4eed29d, 0x83a2c3e0,
+    0xb7b5b7cb, 0x0478fd2f, 0x18322aa3, 0xafda06c4, 0x200d7f71, 0x3abba7fa, 0xc414bc3d, 0x9c2a395e,
+    0x0c7362a3, 0x7f40bcb2, 0xf7db18a6, 0xd5ff6712, 0x48627c46, 0x6f9fcda7, 0xc2f0418e, 0x4e628dca,
+    0x37f8f28c, 0x8805cf7e, 0xe4a88f83, 0x8955633a, 0xf116387f, 0xcf491865, 0x12af059b, 0x9c45afd9,
+    0x1cd1d503, 0x57b2e7c4, 0x0418caa6, 0x1d5f63c5, 0x1e7316a3, 0xe26b977e, 0xb7f7bef6, 0x0e33a20a,
+    0x3cb7f3a0, 0xdf936197, 0x12277b76, 0x86a62426, 0x199c3918, 0x8605aecb, 0x249343fe, 0xe82a7685,
+    0xaf73e96b, 0x6a349330, 0xf3f18817, 0xe94bba06, 0x4de14c07, 0x2777bb8f, 0x979a854a, 0xc29f5a9e,
+    0x348919f0, 0x74e11bf2, 0xb4f7c635, 0x535b1329, 0xc8575861, 0xa9db77e4, 0x39f75500, 0xe0a59df8,
+    0xb5817e13, 0x45cf8412, 0xe02bad30, 0xd253b9c7, 0xf5210832, 0xde296fac, 0x4e863e22, 0xae87a227,
+    0x82c7963b, 0x5418c5c0, 0x7fc9ba61, 0x67eea707, 0x5605686b, 0x32642e93, 0x76abfeca, 0xbcb7fe35,
+    0xab94f17f, 0xa39d73c9, 0x76af08f7, 0x2df1cf73, 0x17360292, 0xacba2851, 0xb4baf80f, 0x0a802d0b,
+    0xe465c651, 0x8c165880, 0xc398f7c4, 0xda0b00fd, 0x733dd47b, 0x4cc0293a, 0xe94c17e1, 0x680b109e,
+    0xfe85cfa0, 0x87cea69b, 0xf864e6ab, 0x4afdde6e, 0xb9ebad2c, 0x7ffa39ef, 0x9b3fed0e, 0x11c6ba9e,
+    0xeacb3904, 0x69507efe, 0x64b3d7b6, 0x946848f0, 0x1c1a42b6, 0x33b4b4ae, 0xd9ff1f0a, 0xb3d34371,
+    0x1e318b61, 0xf3fea249, 0xaa77af40, 0x38669c62, 0x801da525, 0x856faea5, 0x5fbf249b, 0x1baf0616,
+    0x214636ca, 0x36f81c4c, 0x184eff79, 0x246ae432, 0xe4332224, 0x8c02865f, 0x013d52bc, 0xae3ddb9c,
+    0x8888b143, 0x73807831, 0xd7ef5a54, 0x6f199a01, 0x30b9856b, 0x9be18a8a, 0x856f1bbd, 0xc3120850,
+    0xbb7cb332, 0x1bb89709, 0x0c5da807, 0x6e917828, 0x6559e034, 0xa12bae64, 0xbbaf5a28, 0x874854c7,
+    0xbe43afdc, 0xc9805360, 0x992c8c74, 0x88b34c77, 0x70af9907, 0xf1f87f57, 0xfe870e80, 0x0d398fd2,
+    0xd583bfdc, 0x7c6f3464, 0x3452e572, 0xfffd3224, 0x07e8611b, 0x10477df7, 0x624f9db9, 0xdf2e9c97,
+    0xd7211a13, 0x4db10d5d, 0xe3021141, 0x8ed40013, 0xeeee4cce, 0x9c4d2c55, 0x61366d55, 0x5b4c9266,
+    0x6c8559b7, 0xcf93c78e, 0x4d70330f, 0xe174f4d1, 0x8cecd668, 0x2af45936, 0xe5d79d5d, 0xd8f8d118,
+    0x8d645626, 0x1bdb2fda, 0x6b61e7a0, 0x0908b8e8, 0x2a6afadf, 0x92e1c945, 0x2406264a, 0x7fdab49a,
+    0xa789c541, 0x5d61f45d, 0x211ed590, 0xeb805f06, 0x66e08fe8, 0xe0f0b7b8, 0x71597c7a, 0x3e4b808b,
+    0x99862b63, 0x3fb6a997, 0xf2842f3c, 0xa11f6f42, 0x43da027b, 0xe896bd40, 0xa19b6404, 0xcc6a2db4,
+    0x7a3b7573, 0x216c6652, 0xd6fc08bf, 0x7fd1a6f5, 0xb9c0f9b3, 0x26ec8aa4, 0x4c65be01, 0xa01abdc9,
+    0xb4e66ae4, 0x313c5096, 0x5fb40db1, 0x8f083755, 0xbd998818, 0xe284b815, 0x747fadb4, 0x8c76d7fb,
+    0x65d8d9ba, 0x2b76f612, 0x4055bcba, 0x80a6824d, 0xa281ceba, 0x395de43b, 0x10dd28ad, 0x0aa38122,
+    0x97a3df81, 0x5e5b87ff, 0xfadd7f81, 0xd9efc125, 0x57a796ef, 0x03a0171e, 0x111a3f90, 0x96ad9c33,
+    0xc04033bb, 0x87cdab79, 0x393a8f40, 0xf3e532f2, 0xf82078bb, 0x5778f723, 0xc4fbd0c5, 0xdd3b7623,
+    0x0ac9ceed, 0x1cec5016, 0xf557593a, 0xb037f044, 0x46a3556c, 0xdf6f3423, 0x6f88153f, 0xae048c68,
+    0xe24c49eb, 0x6f8de55e, 0x7d5e7930, 0xf0feea28, 0x0d3b69f2, 0x137c0080, 0x8c596f63, 0xbdca9419,
+    0x8e6cab97, 0xf7081d82, 0x9598dc9d, 0x1170f8ea, 0xbb91ffa5, 0x773ead12, 0x9b2dc41b, 0x5c50b87a,
+    0x6bd6e193, 0x7f7f0cd1, 0xe4004d46, 0x67554119, 0x49ae3e7d, 0x03e5babe, 0x8ecc27ee, 0xb7051132,
+    0x99c7c191, 0x5f478f59, 0x430a09cc, 0x2d6bc794, 0x4fc0b9c4, 0x7ee1fe52, 0x724d731a, 0x2b2c163f,
+    0x4b1078fa, 0xc8ab50f6, 0xa92b601f, 0x4befe5be, 0xa98c91ba, 0xd8486bed, 0x00222cf7, 0x607f67c9,
+    0x6a1316be, 0x6828550d, 0x79e1b36a, 0x02eb8b6e, 0xfc40aadf, 0xf6a179ec, 0x768fbabc, 0x98044484,
+    0xe6e2ba47, 0xed68d6c9, 0xdffa205f, 0xe2c045d0, 0x8866dfa3, 0x79502106, 0xec5076d1, 0x571fd0ef,
+    0x36856078, 0xede694a6, 0xb8badc9f, 0x39589e75, 0x176d25ee, 0x31b37803, 0x5463c38d, 0x36065558,
+    0x7218736b, 0xbd2b672f, 0xaa8443c7, 0x3a9e2148, 0x2e829a70, 0x86991f53, 0xbb1fc97d, 0x6edadd05,
+    0x07c7fd00, 0x84675834, 0xfd4f4303, 0x72abca46, 0xd1c248c4, 0xdb4819ab, 0xec45a7bb, 0x8e6cc61c,
+    0x2af81291, 0xfd1c5a27, 0x539995d1, 0x743211ff, 0x342c1881, 0xdbbc1bb1, 0xa60c3495, 0x4f397b5b,
+    0x7b3c5edd, 0xb39b9c98, 0xaf32f8c4, 0x4a391cf3, 0x86185ccc, 0x9c1c938d, 0xc7dfaa59, 0xb6d9d6e1,
+    0xec0a553d, 0xabd930fe, 0x20d42426, 0x5be0b95a, 0x8ca6bc12, 0xb6148f35, 0x14efc4fa, 0x5557cd75,
+    0x5ea3c746, 0xf9e81297, 0x8df34fbd, 0xcb7bb44e, 0xd68168d2, 0xf6eefe88, 0x0d388d6a, 0x179d86a3,
+    0x913853ee, 0xad2e2b1e, 0x6bb65f80, 0xd15c619c, 0x185f24a1, 0x7c209718, 0xd77fa1e4, 0xd6ec0ec5,
+    0x6c66db7f, 0xcdcbbf66, 0x9fadf4ae, 0x7b9d5798, 0xacc13e26, 0xa8ff84c8, 0x33a020e1, 0x9c17de5a,
+    0x523a5abb, 0x455bbeef, 0xca887e41, 0x97af80f0, 0xbed6c10c, 0xdec490c4, 0xcb78bc18, 0xce82b5dc,
+    0x3a945250, 0xf68d5a1e, 0x568945c6, 0x9cd81309, 0xf775f200, 0x491ca6aa, 0x5d3bd12e, 0x884aa375,
+    0xdd7721a8, 0xac6a2f2d, 0xe31d601b, 0xea021352, 0xd9f685c7, 0x55ed25d2, 0x3d1810fa, 0x25e2dd26,
+    0xdca85936, 0x5bc95d3a, 0xbd9f5d95, 0xc8343545, 0x4850c2ef, 0x6ec182ea, 0x8d51b983, 0x6412c234,
+    0xb38f7c17, 0x2471a7fd, 0x24c86d5c, 0x5025a24e, 0x86797621, 0x721f8e6d, 0x6e6b20e7, 0xc4b882db,
+    0xacd4f2eb, 0x94f78991, 0x6c7f2b31, 0x6e28a7ed, 0x97607e5b, 0x2c425f91, 0xfd554f01, 0xc87a9462,
+    0x379b1663, 0xe12f1f62, 0x8168a17b, 0x0087a53b, 0x6bb23135, 0x9e7b943a, 0x54bf5af6, 0x18be63e8,
+    0x33db2add, 0xfbba64ea, 0x09c7c2fe, 0x496bf64a, 0x1a0b10db, 0x7d25b8b8, 0x1e3ac701, 0xf985c112,
+    0xef046439, 0x16702839, 0x6240d8f5, 0x273919f4, 0xa386cb5a, 0x0140494e, 0x1ce53bb3, 0x7f9b05ee,
+    0x284a84f8, 0x7fa1130e, 0x37f4b137, 0xc9ce51ee, 0x0240256e, 0x8b119a02, 0x037c2883, 0x07e4e2d6,
+    0x40ff7417, 0xa9040810, 0xe5b143e8, 0x0438dc4b, 0x3767860c, 0x0a246907, 0x05c650b1, 0x9cda3f1d,
+    0x8b081200, 0x5edd9cd8, 0x51d57f0d, 0x123a3bc0, 0x4c8aca60, 0xd38bbdf2, 0xad535be3, 0x1fdba54e,
+    0xce989d8e, 0xfda5aeaf, 0x145de98d, 0xe3885713, 0x82ce244d, 0x94e6ad6e, 0x4715a291, 0x765a45cd,
+    0x3a10c829, 0x421edf42, 0x6577c0e8, 0xab888fed, 0xe593f537, 0x6c32301a, 0x51f2db4f, 0x2fbed9e0,
+    0xc78565e4, 0x9ed688a3, 0xbca13aa2, 0xadf6031e, 0x5095b87b, 0x7735310a, 0x1699f5de, 0x05c09372,
+    0xe70181d8, 0xc7b584ea, 0xad5121ce, 0x1409dbdd, 0x517d6324, 0x61f9a85d, 0x9e7d6604, 0xfbb432cc,
+    0xc4707b69, 0x60b9b5d7, 0x7efe8085, 0xae1c5471, 0x9796a119, 0xc1449bbc, 0xce8f0308, 0x503ee04d,
+    0x1689a0ad, 0xbc6ac029, 0x04d7658b, 0xcf88772f, 0xf41ea4d1, 0xee486773, 0x13ce9442, 0x29071715,
+    0xece3ac8b, 0x28ea1f50, 0xebadaab0, 0x29607f32, 0xf2e24f9e, 0xf978aed5, 0xb62bbc38, 0x4dcdef10,
+    0x13de460c, 0x73cbaf15, 0x70d42165, 0x18bd3251, 0x5b6cbb56, 0x5feff265, 0x0c2372bd, 0xa5f9a111,
+    0xa4e77148, 0x91ff1777, 0xb9d92338, 0x78f88b4e, 0xb78050b4, 0xd260d778, 0xac77f82a, 0x1b523b9d,
+    0x6f0b1c0f, 0x7009cc07, 0xa21d658e, 0xb6587db4, 0xfaa89d4f, 0x1b6b6cd5, 0xb233321a, 0xd3f83f52,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000008388608 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00d49a77,
+    0x00000000,
+    0x9d293029, 0xf9d3abca, 0xe8682d57, 0x028ebfdd, 0x5e7e6377, 0x31b66934, 0x1fc7f103, 0x7c41ec5a,
+    0x9b001e72, 0x6b550358, 0xf4ff9d2c, 0x44c50ee1, 0xfa386d0a, 0xf11d0c68, 0x588079f2, 0x8d0af0cb,
+    0xc387033a, 0x3c293cc5, 0x409d6f0c, 0x3198123d, 0xdb14e9e4, 0xd7b5c0c3, 0x83e4659e, 0xe31792a2,
+    0x3a0ccff4, 0x1af21c9b, 0xf86754b9, 0x748744d9, 0x21404519, 0x9b2b4737, 0x0775c20c, 0xbad5676f,
+    0x96d184a9, 0x4c61d0a0, 0x019d80ed, 0xaddb0072, 0xbfa0fab8, 0x64a36e98, 0xa240eb2e, 0xc6601403,
+    0x5541bf83, 0x3c925185, 0xf3a4aa78, 0xe2ac76c5, 0x08d436a0, 0x51e98a78, 0xe3ce7400, 0x9ea9575c,
+    0xdc909589, 0xaf30d969, 0xbea29e67, 0xdbec9128, 0x1daca8fa, 0x9fdfc4e5, 0x4a204cbe, 0x2b8e696c,
+    0x638abefd, 0x63895c54, 0xd222b14a, 0xe3102205, 0xff778266, 0xb57ae3b7, 0xe7f8911a, 0x931e220b,
+    0xe8e62416, 0x750193c3, 0xd82de927, 0xd17708e8, 0x75643e0a, 0x0d8113e2, 0x7b3b7394, 0xde510fde,
+    0x17ad6adc, 0x818e8ddd, 0xb300081c, 0x91e2f7aa, 0x56912b6f, 0x83368b87, 0x5230227d, 0x51cddd23,
+    0x1c0ebc04, 0x6153f2aa, 0x688b6408, 0xbfe9e4b3, 0xe19db19f, 0x040631d5, 0x8014dce6, 0x42323262,
+    0x58426f0e, 0x4a6167af, 0xbe6f0a64, 0x93657fc5, 0xce0f679a, 0xfaec45a8, 0xe3be36b1, 0xf066967c,
+    0xcb830185, 0x0a4141f2, 0x3d4ebe2d, 0x8a33115a, 0xfb6ffcdf, 0x20473336, 0x1ac2d50c, 0xd34fdf71,
+    0x86dae300, 0x4a77fba2, 0x0031a7c0, 0x9620d0d2, 0x3a475ae8, 0xa054a05b, 0x95d5ceb6, 0x03fb2d48,
+    0x825c9102, 0x1fc8bc72, 0x6a4d3ce3, 0x60a74bba, 0x2bb0d62e, 0xed22abf6, 0xfe9f44a3, 0x8fc5c2aa,
+    0x15bad4ea, 0xa84de715, 0x91fcb1be, 0xc4465eb6, 0x22269165, 0x8310f684, 0x7e7b0cb3, 0x9dbaf766,
+    0xdff2321e, 0x23b66871, 0xdf796094, 0x8e510f7a, 0x16a72496, 0x50a050b2, 0xd751e6cf, 0x44790c69,
+    0x5ef8c307, 0x6561747a, 0xe8dac3b7, 0xa3b6b8b0, 0xd0f55ead, 0x6568968f, 0x91b930b8, 0x15fc49ea,
+    0xd8d657fe, 0x74fe7a50, 0xbec81691, 0x6892bc3b, 0x2128a31b, 0x8c1cfc26, 0xfb24e211, 0x1ee0d05e,
+    0x331059f4, 0x68f71019, 0xb486c39f, 0xbfc19956, 0x150153c5, 0x41ed80f1, 0x6f9cb99e, 0xd88e6a62,
+    0x5f81fac9, 0x0033916a, 0xf14d3b8f, 0x80fb9a3c, 0x35e1edc4, 0x8149215c, 0x124ae38c, 0x5e6f6b45,
+    0x29d137ff, 0x01ac3b33, 0x3ecc713e, 0x6367a73c, 0x988eff20, 0x74bd3801, 0x0c6817a1, 0x9bc4c295,
+    0x23d13d18, 0xabbcc5ae, 0xe0604af8, 0xdb2271b4, 0x9fcb1401, 0xda4c8713, 0xf13adbdd, 0x0d061a63,
+    0x944509d6, 0x9efa5a6f, 0x552570ef, 0x62ca92c8, 0xc1681d88, 0x61f88e41, 0xd129b912, 0x1b548512,
+    0xc6b08361, 0x154f9eac, 0x34dbf351, 0xebce7fc3, 0x56fbf1bb, 0x739b9442, 0x3f9c269e, 0x0635fc25,
+    0xfca1adf9, 0x0e4af68c, 0x3e4fe780, 0x7f2b6f50, 0xe700eda9, 0xab0a1b18, 0x24c79553, 0xf69be5cc,
+    0x6e7dbb30, 0x7892e290, 0xd5ce5ce7, 0x355b0cec, 0x5bef1d0b, 0x35ef9478, 0xb0769efd, 0x9d21388a,
+    0xed6696c6, 0x28c85fd0, 0xa6c77374, 0x17a8f1b1, 0xa8e02a9f, 0xf0085235, 0x2fdb97b8, 0x87ac65ca,
+    0x5bcd2bde, 0xb7d36379, 0x22f84f26, 0x140ad53e, 0x0384d37e, 0x1da42586, 0x5dae745a, 0xffd6acdc,
+    0x96528aa7, 0xc8aa9859, 0x0347e3df, 0xc5316be2, 0xbc6fde8b, 0xf43f49d9, 0xf800bf6b, 0x160e18c8,
+    0xaf4d518c, 0x7f411a15, 0xa2d7de8b, 0xf663c6e3, 0x7c35f436, 0x743987e1, 0xa661d42c, 0x76c5f135,
+    0xedfcff8c, 0xf51f5096, 0x8da1f8e6, 0x4148169f, 0x3ce917c9, 0x9d6dbc05, 0xbc0b839d, 0xa35fd087,
+    0x02e483f7, 0xdc247025, 0xa1859671, 0x2da899b9, 0xd45b1380, 0x17b4207b, 0xf6d369f3, 0xaf94c15c,
+    0x31ecabf9, 0x7d417307, 0xe08aff19, 0x590e1bfb, 0xaf06686b, 0x83e8227b, 0x1b5507fb, 0xebce7295,
+    0x634a8370, 0xbfd03988, 0x339e7745, 0xc5d9599d, 0xee1791e9, 0x6188fb56, 0x25eefa1c, 0x6de5b329,
+    0xc8a84b8c, 0x6e413ee7, 0xd391f48e, 0x8a8d753f, 0x2c94491c, 0xee604c2f, 0x97a76f0c, 0xd6c971f2,
+    0x39f84abc, 0xc8628a10, 0xc3a88463, 0xe493dd26, 0x064128d6, 0xfe080603, 0x3f27086c, 0xdbfd22cc,
+    0x6a2e4183, 0x4ea33748, 0xcae9cd97, 0x7acdec73, 0xcd9df817, 0xe4a7a869, 0x082b8ea4, 0x71fad997,
+    0xfdf1ec5f, 0x947d1470, 0xc93abbc2, 0xf5f3d06d, 0xe3f7d5ce, 0xe2498a70, 0x5d73e401, 0xe15e1803,
+    0x53af2615, 0x88953644, 0x771ae219, 0xa2843ab1, 0xa9adfd00, 0x9ad47fa4, 0xabd6ec74, 0x988755b6,
+    0xd9c9fac6, 0xf14eba4a, 0x2db3c596, 0xad55e14b, 0xdda36b12, 0x840062c4, 0xa6f65d65, 0xb55c3faa,
+    0x19d833fd, 0xe0ac7c4e, 0x3e5b26e0, 0xcb95a236, 0xd3f6866d, 0x0821b4ec, 0x9541a966, 0xc9263b97,
+    0x9f0769eb, 0xb158a53c, 0x08f56d49, 0x07df5dc6, 0x15599029, 0x40b0a1f1, 0x09614007, 0xeb26ff38,
+    0x0a10d950, 0x9f4bfcda, 0x79413e73, 0x399830b1, 0x2cebfcb2, 0x351f7278, 0x6fc50815, 0xbed6e135,
+    0x566bd010, 0x46a04b5a, 0xa47afe9e, 0xb7d84a48, 0x37a4333b, 0x43a3b0a1, 0xce59f15f, 0xc42b8360,
+    0xfbd67ed8, 0xc3ccecaa, 0x87fe28f8, 0x2abfb25e, 0xf46315f0, 0xd6086ac4, 0xeae3a791, 0xb81ec3c2,
+    0x31b39ffd, 0xbb35c91a, 0xc628fff4, 0x31b84e23, 0x28b399e8, 0xb3fa5e33, 0x927c9812, 0x4337759c,
+    0x55b39fc8, 0xe06f2ef5, 0x846c42ec, 0x64b29c5c, 0x9cf275d4, 0x330205fa, 0xb1f9ace4, 0xd5c62666,
+    0x9519fe3a, 0x4cb4e99a, 0xee53cb23, 0xae16bd8d, 0x6f66b910, 0x37baed7f, 0xcd47328d, 0xda111885,
+    0xafe0897e, 0x85c197f6, 0x2cabdb2d, 0x6cbaca97, 0x25c4c051, 0x37525ff6, 0xbdcc5106, 0xd3512ae3,
+    0x9932881f, 0xbdf45752, 0xf05c561a, 0x580d28ed, 0x53ffa435, 0x5dd7c0ea, 0x0ff7c9ea, 0xeb77df6b,
+    0x523bcf1a, 0x84bdb54c, 0x05ae7122, 0x3f593702, 0x0859dd25, 0xd5485c25, 0x659c8976, 0x6fe2b5f4,
+    0x6eaca647, 0xf1613ae8, 0xc9b9f781, 0x1577560e, 0x3e775a29, 0x2efde0db, 0x82dc95e4, 0x32ce1d2f,
+    0x5872e955, 0x6ceefcea, 0xc2f8549b, 0x1f547cb3, 0x8af1f785, 0x935ca1a8, 0x89a79596, 0x22338714,
+    0x6a2ef69b, 0x45a9765f, 0x9edcf7fb, 0x4823b1aa, 0xa55d2739, 0xde47013a, 0x7eeac069, 0xdd287f5a,
+    0xdfbd1f29, 0x9500b0a2, 0xddd9b5a6, 0x2147a27e, 0x96d37305, 0x0f250269, 0xa43b0bfd, 0x1befcab5,
+    0x768dc467, 0x705219d0, 0x1c47a936, 0x303b5c8a, 0x26b8dbc3, 0x16aba40c, 0x4433d3d0, 0x7ddbf5ce,
+    0xd09bf7d8, 0x53071f04, 0x237a09e7, 0xc93a1862, 0x313b5e9f, 0xb1e28653, 0x542f5215, 0x471dc475,
+    0x913759c5, 0xfba7373e, 0x2bb47f65, 0xf25c49ca, 0x12cfa91b, 0x949ddd8a, 0x73bdaa17, 0x3f32432e,
+    0x5eb166f6, 0x28fd5110, 0xcb414ba5, 0x32b1e86f, 0xaf08573f, 0xce0b8058, 0x9d67cf42, 0xeb79f2a2,
+    0x1b2fca45, 0xd062a7bb, 0x0dfcd2e3, 0x891aab3b, 0xbb6fe09a, 0xa5665e00, 0xed9a383b, 0xa97b990b,
+    0x4271342b, 0xbf1cfdee, 0x7439fdbc, 0x9e971b38, 0xb4ee4435, 0xced1bc57, 0x8e5e4bdd, 0x39e0416a,
+    0xf0faab1b, 0xdcf877ea, 0x1745a709, 0x710d625e, 0x14c8ba3b, 0xb82748d2, 0xbd91fe42, 0xbc936408,
+    0xda1bc646, 0xa0ab0b3f, 0xbecbe107, 0xa4e44334, 0x21eb14ab, 0x250b5201, 0xf3e42e73, 0x770d4b4d,
+    0x0b684f5d, 0xb86d07dd, 0xd490e489, 0x992adfcd, 0x35259099, 0x2eda387e, 0x261e4582, 0x4ac985d4,
+    0xa3e67278, 0x03f982dd, 0x5e8a5011, 0x62b47552, 0xfe3e3d96, 0xf454aa91, 0x23864499, 0x2daa59fd,
+    0xc10e7a72, 0x1b1d67c2, 0x91602f15, 0x93bd2724, 0x57703b83, 0xff352ac6, 0x7d855dca, 0x471b0a6a,
+    0x3a35ee18, 0x5eff4bc0, 0xc8adc6b5, 0x6c97550b, 0xe96cf7e4, 0xc8799615, 0x825175e4, 0x8936d073,
+    0xd478718d, 0xa5de0a63, 0xca88246e, 0x316d3d95, 0x1b9f027d, 0x3986a073, 0xb1f02a16, 0x08f3d9a8,
+    0x3a811004, 0x5e0f3cff, 0xd35c293d, 0x0a78ebfc, 0xf6adbf6f, 0x0b0b9f4c, 0xcf10625d, 0x8bbf8c04,
+    0x5e97b1c8, 0xdbf4d64d, 0xaf0a5cf7, 0x1d0a2db9, 0x90599152, 0x94a23e95, 0x4f60e458, 0xe945ea1f,
+    0x53fafe2d, 0x6d38c14e, 0xadec27b9, 0xf21e7bc8, 0xf34f4c58, 0x75e38e7c, 0x2b7bfb8f, 0xf38a30ae,
+    0x8a9c1f4f, 0x395e79d7, 0x2e0342f7, 0xdd7dce82, 0x0ef300bb, 0x32f2bbb0, 0x955064ad, 0x3afcb3bc,
+    0x5369a693, 0xee46d5ca, 0xbff73879, 0x838d5aab, 0xb428d6d8, 0xbbebadc5, 0x60b55faf, 0x8e0c9fad,
+    0x82228c75, 0xe9daca75, 0xde458fe6, 0x118dfaf4, 0x2619575a, 0x9dadfbd2, 0x580df620, 0x905912a9,
+    0xa0d2be6d, 0xd71915db, 0x6b27872a, 0xccd734d5, 0xf550a825, 0x9f49812d, 0x15064dca, 0x49e9a833,
+    0xb807d93e, 0xecbd7da7, 0x574bba64, 0x13a31f4b, 0x90aad722, 0x81f649f5, 0x5ec4a769, 0x88e22824,
+    0x6e2dbd27, 0x47639ff6, 0x886c0bdf, 0xb7fbdb07, 0xa88603dc, 0x71fcafd0, 0x8bd5bd3a, 0x0f0373a7,
+    0x6d2a4cea, 0xe6459bfb, 0x94834872, 0xfe4cb850, 0x98fb0449, 0x115cf505, 0xcc9b7921, 0x3f707d38,
+    0x4dd4696c, 0xdbd8b4b3, 0x5de19d1f, 0xf03520a4, 0x267cd04a, 0x7524da3e, 0xfd8d80b2, 0x7562f418,
+    0xa673f5ac, 0xaafbb436, 0xeac3e10c, 0xced1686e, 0xa6328710, 0x2d696e52, 0x1afa4668, 0x87f8b936,
+    0xec6a874d, 0xfe4af53e, 0xfeda8dd0, 0xa7668a1d, 0x6a64bcd3, 0x3931eba6, 0x903ed0d7, 0xd5e11f3a,
+    0x06c7465c, 0xee815044, 0x20718301, 0x913f2bde, 0x1af88c7d, 0x649901ca, 0x3266bfe8, 0x2a13ca40,
+    0x55638203, 0x473c106a, 0xa8bdac21, 0x12296cdb, 0x93a33c81, 0x0f7681b2, 0xf660a2bc, 0x4bd4ea89,
+    0xcfb42ada, 0xd9efbfcd, 0x0ee207b7, 0xe8bef9b8, 0x9fef8570, 0x7d362e37, 0x2f89707d, 0x22a324e0,
+    0xca431df2, 0xafcbb2da, 0xb5476c10, 0x49faece8, 0x2d3c2467, 0x1344cbdf, 0x839ab67e, 0x84fa44c6,
+    0xeb9470a7, 0x5095dc31, 0x769be163, 0xb4b5283c, 0xa80dad66, 0xfc4941ec, 0x57bb93e6, 0x95f7412c,
+    0xee0af7fd, 0xb76cf9f6, 0x4ac95fde, 0x169ca294, 0x5c336b55, 0x64a82f89, 0x9fd47ea4, 0x912af157,
+    0xa018290b, 0xa8948cc3, 0x0c30504b, 0x0c0488e1, 0x046d9dc7, 0x1f988edd, 0xf91fbd32, 0xfb221294,
+    0x7bab467e, 0x1551fac9, 0x0744a644, 0x1850ad15, 0x06f78bcb, 0x64728d75, 0x233db6f2, 0x94f00fbf,
+    0xa0f9c587, 0x44c90997, 0xb5228a56, 0xbff9f8d9, 0x14c219fc, 0xa27179f2, 0x6b8b02f9, 0x8692624b,
+    0x0a806042, 0x24a3ea48, 0x14aba202, 0x97fef826, 0x431f8d26, 0xc49997f8, 0x021b97fe, 0x1b2c950d,
+    0x7c455c27, 0x39a8ff77, 0x4703a467, 0xa90bcd52, 0x7d61fe5e, 0xb05800da, 0x063ad5ca, 0xb7a517d6,
+    0x7611ad42, 0xb0da0efd, 0x006cc962, 0x6ab98821, 0xaefaab7a, 0xf0031b3f, 0xbc652e36, 0x7b77ea41,
+    0x97df4574, 0x80ff8e52, 0xd62871a4, 0xdb0d81ff, 0x75786afb, 0xc7314570, 0x81d456c3, 0x85310ec4,
+    0xb0983eda, 0xf69bcaa3, 0x8735c418, 0x937b48d4, 0x63c71dc3, 0xb28e1ed6, 0xfcd4d29f, 0x4038279b,
+    0x3b09d03a, 0xa72f3cc8, 0x324c2bdb, 0x864f13ef, 0x59f89bc6, 0x0590084e, 0xa186fa49, 0x695bdc84,
+    0x3884440f, 0x63932e25, 0x88f3add3, 0x51d89510, 0x00d55b16, 0xe4cb8cfe, 0xe2fe0629, 0x0dbc1a68,
+    0x32c7f8fa, 0x169b8584, 0xf5f4b63a, 0x518a84c2, 0xd39bbd6f, 0xfa306b54, 0x1c99f115, 0xc28fc002,
+    0xc9d15869, 0xdb8a01b9, 0x4ce07cd3, 0x5a3de66e, 0x525a6c7b, 0x3ad6b93f, 0xbd2fd992, 0x2bb04718,
+    0x0b45261a, 0x19b8844b, 0x4f31dc51, 0x34daff80, 0x055ad46b, 0x1a77970d, 0x8cea49e7, 0x005b941b,
+    0xa0eb6028, 0xef93e49d, 0x442fe338, 0xb186163c, 0xf1d959e2, 0x1bbd13cb, 0x9fb2c650, 0xa5b2d5fe,
+    0x0626aa9e, 0x10a789e4, 0x01a87e71, 0x7c8f0650, 0x35e99e79, 0xc50c6cae, 0xe2d274e6, 0xb21de1c0,
+    0x38d886df, 0xfe08c57e, 0xfd5b7354, 0x6d0265a2, 0x3945f295, 0x09c7f896, 0x0eb61bcd, 0x552c4a9b,
+    0x4ac94fbb, 0x3275badf, 0xd9046d4c, 0xddce6f34, 0xdc48395e, 0x14e6522f, 0x8cbc1724, 0x3358926d,
+    0x3e6ca125, 0xf6438529, 0x3ecd9be5, 0x1654aa19, 0x61bfed70, 0x3b48c990, 0xc0c9be53, 0xdcebe8e1,
+    0x626dac3e, 0xe87e6630, 0x315d83c1, 0xc471b231, 0x5aaa2b9b, 0x5a15e9a0, 0x34ae02c2, 0x505c49ae,
+    0xf4a28b9f, 0x0debf294, 0x3b90ee79, 0xb14891e3, 0xd9ba04b1, 0x176d5a47, 0x9538e2d4, 0xfee1e293,
+    0x54a384ad, 0x6b8540ba, 0xb9049bac, 0x0b28a542, 0x89728450, 0xf5df5d5d, 0x11607a17, 0x48af65bd,
+    0x2cf17239, 0x0d835bb2, 0x23659b3d, 0xb8623d0f, 0x854c4d77, 0x60566ef5, 0x1dc7b6d1, 0xa96e21ef,
+    0x4f604aa6, 0x6e5d1d45, 0x2ffcc3b7, 0x8f000823, 0x3b316934, 0x8df436a0, 0x757a9820, 0xc80f0d19,
+    0xe78c3f81, 0xfe38ce0e, 0x38676cdf, 0xd775bd5c, 0x48a94fe3, 0x0e9d4acb, 0x9085b4f4, 0x50531f81,
+    0x4c4a6091, 0x409a44ee, 0xba599456, 0x16cc8258, 0x0380a73f, 0x406af569, 0x2b1f7127, 0x9f8406d0,
+    0x5ac13495, 0x9247d514, 0xb8e9a6a2, 0x772d6740, 0xf2c9a033, 0x3fe0908b, 0x41a2d851, 0x486a189c,
+    0xc681f55c, 0x1a3b9dbb, 0xb8877c9f, 0xaab4ed7d, 0xfd99849c, 0x9312aaaa, 0xad50c296, 0x4cf15632,
+    0x4bedd379, 0xb3c76370, 0x9769dc33, 0x40f0f8ce, 0xa5cd9b82, 0x207ca301, 0xf3e1d300, 0xdea745e5,
+    0xc312ae50, 0x4b4fec43, 0xe864fe2b, 0x245d76aa, 0x74454ec3, 0xb6270882, 0x218e3a1c, 0xa261986c,
+    0x26d10721, 0x5032298c, 0xd1fd566c, 0x1b78b9a3, 0xf038c3cd, 0xb1def8f3, 0x3eeb3c7a, 0x6b49f09c,
+    0xf781862a, 0x1a00b330, 0x51fbb674, 0xf149aa4b, 0x07d0c5ba, 0x07c38ab7, 0x6aa6842c, 0x45800ca4,
+    0xe77458a2, 0x51ade63d, 0xf24c865a, 0x1da3b5ab, 0xd6ab518a, 0x46c6c696, 0x329aad3d, 0xae09a0ba,
+    0xedca739c, 0x7db67568, 0xdd281c58, 0x16296f52, 0x695b1d99, 0x4f7d4cdd, 0x08b95a3f, 0x2d377ebb,
+    0x02b307f0, 0x1183efd1, 0x3c3c8eaa, 0xe2077ba3, 0xcff7dbdb, 0xf485ab6b, 0x66bfdf0a, 0x0bb91e79,
+    0xdd527a98, 0x9c1110e8, 0x086e83ce, 0x6ccafb10, 0xef9f445f, 0xbc3a3b2c, 0x02e26780, 0xac1cab80,
+    0x5db44e48, 0x0785a9b7, 0x98cf32fd, 0xd2cce7de, 0xe2efbb45, 0x168efd05, 0x2e70bceb, 0xef466051,
+    0xb23faa21, 0xb071b948, 0xb12834a6, 0x42c178c0, 0xb873ccd0, 0x3de18bbb, 0xddcf9d36, 0xa51bc911,
+    0xc364229d, 0xa9af47af, 0x75ab824e, 0x646b2caf, 0x0f2f1548, 0x315da958, 0xb97901b7, 0xe5997b2f,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000004194304 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x006a4d3b,
+    0x00000000,
+    0x8dd53e24, 0xc84776a2, 0x078f5c33, 0x212ebf2b, 0x6b770ccd, 0x9d7b65fc, 0xb3b65c47, 0x342a13ac,
+    0x47f429b1, 0x23707f60, 0x88fcb770, 0xdb846df6, 0xe19d8726, 0x7c4b7a13, 0x59f471f1, 0xad14d2e6,
+    0x7f38acc7, 0x078dc70c, 0xdc079f00, 0xed6f386b, 0xbf39af9e, 0xc2a1e0ca, 0x092c61a8, 0x72a1cf69,
+    0x01c88d31, 0x7c419f00, 0xda5b8d96, 0x7b4b5953, 0xf5b68ae5, 0xa11b7eb2, 0x9a0120b0, 0xa6fdb699,
+    0xd9abb8bb, 0x55424b42, 0xd12f114c, 0xe669dc3f, 0x187f6150, 0xd98240ea, 0x95d7336a, 0x08d070ab,
+    0x552ef832, 0xabe567d9, 0x364a4ab8, 0x666bc509, 0xba016567, 0x188f995f, 0xa7c8702f, 0x4661c7c8,
+    0xd4981ae5, 0x791e505a, 0xa1f96647, 0xc8c8edbd, 0xe8404ed3, 0x3bbd8e7f, 0x1c7522a9, 0xc8530241,
+    0xefed00ab, 0xf12683f2, 0xf51714da, 0x391c7066, 0xc10a3498, 0xa07a4988, 0x01489261, 0xeb56cdad,
+    0x015c48b6, 0x9000867c, 0x3569979c, 0xcdf623cc, 0x4116577c, 0x018a890d, 0xbb904a74, 0xd173d3e2,
+    0xb8f720b0, 0x6c1ce143, 0x8ef47602, 0x65e34fdc, 0x97d6e0e0, 0x0a33f569, 0xb874a92e, 0xea79ef5e,
+    0xbb0123cc, 0x1090f0a6, 0xf13c414d, 0x3b0aa1cf, 0x4699822d, 0xb33cf380, 0x8186d81b, 0xe2b3aa9b,
+    0xf7643798, 0x4cccc017, 0xe87705c0, 0x7b14b7c4, 0x3c85e744, 0xe96c10a2, 0x8b0b8837, 0xb003e098,
+    0x832d2b51, 0x0ce13542, 0xd6707250, 0xab41f6bc, 0x1536289c, 0x7d18a67c, 0x45518b7d, 0x4aa482e9,
+    0x49312d08, 0x54dff73e, 0xa383d593, 0x53f2e7fb, 0xd82756f2, 0xa3ff9d9c, 0xfc265fb6, 0xfc56ec3b,
+    0xaf115e2f, 0xa857ee40, 0x8ef678dc, 0x151efae7, 0x2b06c6b7, 0xefe49516, 0x4dafea33, 0x308ffa32,
+    0x525e4fb6, 0x771072e1, 0xe4b2b084, 0x00c85aa5, 0x8197d012, 0x4ef02b4d, 0x2b9293b7, 0x96860ff3,
+    0x13c93371, 0x2a25d8f2, 0x0244ebbf, 0xe6853643, 0x92c47254, 0x7e8b3b09, 0xf2e433dc, 0xdef28bb0,
+    0x5c0b538e, 0xd184468b, 0xb8fbf99d, 0x9b7e8a0b, 0x466f190f, 0x9008112b, 0x080e816f, 0xe90a07a9,
+    0xede8da38, 0x25d0e6b6, 0x048b4cdd, 0xe6c324b8, 0xc7ea380a, 0x6c3a08c3, 0x6856a07d, 0xedcb53b9,
+    0xf9d6b128, 0x53b787cc, 0xbce029e1, 0x0b705e69, 0x115ba42d, 0xd4e5b972, 0xec1a7c63, 0x0c7aa392,
+    0x30cd2bd0, 0x46f1081e, 0x8054734b, 0x2a11733b, 0xccabc293, 0xa1ee359b, 0xca330bc0, 0xd7d8de9c,
+    0xcabbda34, 0x238c198f, 0xea513ec9, 0xe7be31c4, 0xa4f16bf5, 0xf379beed, 0xfe1d5798, 0x5129c13f,
+    0x932d244c, 0xb1246119, 0xaf005468, 0x93f1da2f, 0xa16a9667, 0xfeb03e5b, 0xdf33a049, 0x3c0cf159,
+    0x6cfe444f, 0x30c1c287, 0x89abca6a, 0xa01ef4b2, 0x3a906cfc, 0x9ca31dce, 0x0b104416, 0xccfa1161,
+    0x0e9202e9, 0x33dc0b42, 0xc8609a6c, 0xf3127df5, 0xa6c200b4, 0x39d08eea, 0xeb9e7013, 0x44a3b478,
+    0xf57612b9, 0x34a2b8ad, 0x52f35461, 0x25016c57, 0xd22136c6, 0x7048f95c, 0x4da27b4b, 0x45952b96,
+    0x5f7d2547, 0x414c5ab0, 0xb5ccaea1, 0x153556f6, 0x323c46d4, 0x1d2c6679, 0x40d9a5f5, 0x1057f78a,
+    0xc99a928a, 0x6efd380b, 0x225dbeaf, 0xb9c35680, 0x166f1916, 0x225522df, 0x4358eb8a, 0x1900d237,
+    0x4ea77a6e, 0x0cb71a02, 0x60906ace, 0x1cad72f3, 0x6491cd6a, 0xbfe8bb48, 0x035730fe, 0xb8d54ef7,
+    0x90993af8, 0xc1ccb794, 0x62a3af67, 0x746f91de, 0x9ff5f624, 0x5ee39b01, 0xc7f07d8e, 0x043e8220,
+    0xcd9c4923, 0x82ea386e, 0x5eac619f, 0xc5c1c5fd, 0x82a67b44, 0xa5e76c55, 0x023123d4, 0x710c95cc,
+    0x8272ed28, 0x4412d274, 0x3a37d098, 0x585cd71d, 0xb6c8468a, 0x1f2ff2a1, 0x41ad9520, 0x08b1cd70,
+    0x0d7b9122, 0x1588a378, 0x3cf383f9, 0xb2638be0, 0x92529d84, 0x3bc7b691, 0x528ea182, 0x1571ed93,
+    0x59fefb78, 0x2a39670f, 0x5725e953, 0x243c11f7, 0xe83141ad, 0xba073ca5, 0x89f0b0e8, 0x89032998,
+    0xd9c9cefa, 0x064c7593, 0x83e0a870, 0x0a3c578f, 0x7dd9f30a, 0x7553dba5, 0xa5ad0e6c, 0x2aea130c,
+    0x5df2e0cd, 0xdbf4594a, 0x17bb7a01, 0x61284242, 0xab1d2e72, 0xb952fde7, 0x374081e6, 0xe61da98a,
+    0x75497fc4, 0x62c1895b, 0xa23d6d0d, 0x295bea79, 0xbaeb2227, 0x76976afd, 0x13d7d474, 0x1d5928bf,
+    0x3192f548, 0xa66cb48b, 0xaf1f4bea, 0x2d467acc, 0x556392bf, 0x768b5002, 0xcb360b35, 0xd36540c0,
+    0xbced72fd, 0x0704f1a4, 0xdd6c27d7, 0x05724aea, 0x20719a5d, 0x9d27bee6, 0x2ab3e226, 0xcfc443e3,
+    0x06b02256, 0xed4a97e7, 0xec1dcab7, 0xf8781d62, 0x7a7fb310, 0xb11e2e49, 0x4f204526, 0x9aee5ad1,
+    0x1282af21, 0xf0ddd39c, 0xe0bdc630, 0x73ea8e87, 0x159c3fc4, 0x95ef1db7, 0xf3e0754d, 0xa30ea792,
+    0xb83d7229, 0x110455b8, 0x54ec71da, 0xdb45078d, 0xc19642ef, 0x2b75d56d, 0x59cc6be1, 0x42cea24e,
+    0x838f0e83, 0x85b6ca00, 0x25eb9adc, 0x0ae00c29, 0x2556763b, 0x4ea58e11, 0xff7ea959, 0xe682663f,
+    0x5ad05815, 0xc00543ef, 0x7e2a95a4, 0x866a1cdd, 0x95666602, 0xc5c4f0cd, 0x607a8a90, 0x965ebaa9,
+    0x86771278, 0x55f0e69c, 0x4b2591f1, 0x1a89d8c9, 0x1a5c426b, 0x4035239b, 0xeb6dbdda, 0x5065e427,
+    0x403cc006, 0xdff96d46, 0x12fb80ac, 0xda72b14f, 0xaf9274bf, 0xe3695246, 0xcbab63fc, 0x27702b50,
+    0x9a328fb8, 0xfa81c019, 0xe4dfca00, 0xb18fd836, 0x8b0f5029, 0xc24521e5, 0x3402338a, 0x1d806b80,
+    0xf877e501, 0x63a93e4a, 0x1d1a3714, 0xdee1f6f7, 0x7d4794a7, 0x3ad243d3, 0x3e085ae7, 0x22feaa20,
+    0x093ee0cd, 0xce1aa7f8, 0xa4482132, 0xb29296bb, 0xaededa88, 0x3865c457, 0xd3954007, 0x00b36fb6,
+    0xfc13e3e6, 0xd4b9436f, 0x1dde26b9, 0xee2303da, 0xc26cb64c, 0x822b6b30, 0x94424a0b, 0x328f2426,
+    0x34dadb7f, 0xda5d82c9, 0x5155648e, 0x49cfafa2, 0x890db784, 0x24676290, 0x8ecb1aba, 0xd8a061e4,
+    0xd8e69f28, 0x57035e8f, 0x26df19fe, 0x25237203, 0x86851aa4, 0x7ba8d4d2, 0xdcbf3145, 0x5da535e2,
+    0xce400e84, 0xa73c3fca, 0xfa599196, 0x33c3b99d, 0xc4b386fd, 0xf3b32656, 0x19b693d7, 0x1cda7a9e,
+    0x18d8ee31, 0xf7b8e794, 0x7b198228, 0xa0d2c23b, 0x99dffa01, 0xdfc67bc5, 0x1cba81f7, 0x0a48ea1e,
+    0x49f4dd03, 0xd1acf116, 0x2d2c967d, 0xa3d12860, 0xb6427021, 0x47386728, 0xa476cc10, 0x646111e1,
+    0x95dcbbc4, 0xc6700679, 0xf51bdc06, 0x49e5db84, 0xc1c593f6, 0xb597874a, 0x56a10c40, 0xdc0b5b3d,
+    0x6a559be8, 0xcc648c98, 0x587ec16f, 0x5e736523, 0x47e0d48b, 0x7b7e0079, 0x7192ce8c, 0x0d1cdbb0,
+    0x6c4a9f7f, 0x6fff8576, 0x2d78bf06, 0x83c812e8, 0x5e0ca77f, 0xa8e78090, 0x2f1984df, 0x4af2760c,
+    0x432bd74f, 0x3240837d, 0x5b3bb958, 0x51566c3c, 0x1a1504fb, 0xdef73ef6, 0x9f2f737e, 0xf8df3a63,
+    0xf702d098, 0x27e8ccdb, 0x405f06e5, 0x48caa0f1, 0x9d1b3cda, 0xad110e53, 0x27f4e16b, 0x77e1771a,
+    0x9cd96d72, 0x6f3a9771, 0x827aeefe, 0xb346996f, 0x6ab0f520, 0xcd5c5cbd, 0x93e333e6, 0xb76d2820,
+    0xf61cd1e4, 0xa6cb094a, 0x5714767a, 0x57424ad8, 0x479e0e70, 0x8c415f69, 0xcd180f2e, 0xfd2b8167,
+    0xc7d1145b, 0x7385f35a, 0xf435ec47, 0x530175c3, 0x282a37da, 0x4a14a744, 0x8e5e1b71, 0x1d382e90,
+    0x59b0f8c8, 0x8101756b, 0x99423402, 0xa06ebcba, 0x3509634a, 0xd507590a, 0x329b3425, 0x6289dd07,
+    0x52a1c676, 0x4d6f530b, 0x897a8bd5, 0xb83b695f, 0x98b8d222, 0x5c539357, 0xd03df2a0, 0xf13f31ae,
+    0xcf555c7f, 0x84f6522e, 0x28a31246, 0x29177f6a, 0xf5303333, 0x2c5f95b3, 0xa1c30660, 0x13250ded,
+    0x2a40977a, 0x232c63e7, 0x706b35bb, 0x489d1a9c, 0x1e2b37fa, 0xcf1b0c66, 0x16b0e514, 0xa36ca82f,
+    0x9a4ceaca, 0x509c1a12, 0xbc292b2e, 0x28fdcd5c, 0x3797573d, 0x2942f315, 0x2ca10d0a, 0x3ed109a1,
+    0x3cf3492a, 0xdcafb409, 0x37fd27b8, 0xff906f73, 0xfcd1ba83, 0x1211ccd0, 0x45fabe32, 0xc25b4b4a,
+    0x0dbcb15d, 0x4ea94d23, 0x89f13c2c, 0x2afe6edb, 0xa7bd217a, 0x9f8f02f2, 0x6a9889f7, 0x8b606c26,
+    0xf216496d, 0x07e7bcae, 0x98c138ea, 0xacee4dd8, 0x6add623c, 0x3f1c0cfe, 0xa8b54600, 0x4cf37560,
+    0xc83ae0a7, 0xcdc22c55, 0x0e1bd04c, 0xa71fe2ec, 0x87ff60c8, 0xc43e04e6, 0x49955961, 0x7cbf208b,
+    0x52f89451, 0x9a752cb8, 0xd2acc601, 0x13f41890, 0x527cc553, 0x562b14fc, 0x385613f6, 0x6d407cac,
+    0x0a8ad11b, 0x043f122f, 0xaebc9849, 0xcae67b91, 0xeebad30c, 0x0637ac96, 0xc9ad4030, 0x3d54acae,
+    0xf7d3341c, 0x5d981f08, 0x61fb603d, 0xdecc7571, 0x7a44eb1d, 0x046ed799, 0xecadd14c, 0x5f01566e,
+    0x046613d3, 0xaee0f06f, 0x41cc0fce, 0x2bf53d32, 0x344bc446, 0x1c5fa6eb, 0xb6d9eaf6, 0x6484c5d5,
+    0x6ab50d12, 0xa2208488, 0x12d11c0d, 0x8af4dda8, 0x30bf9a40, 0x235c23a8, 0x5381aa99, 0x85cd55b1,
+    0x3739b280, 0xbaeb82b2, 0x6ad79af8, 0x94bd3057, 0x34203ae0, 0x4e7d172c, 0xb3014999, 0xede0c220,
+    0x14500c83, 0xa27ca674, 0x95447b2e, 0xbfb2f72d, 0xb717aa6d, 0x09204f80, 0xaaa1645f, 0xb7dd1c44,
+    0xbf002416, 0x3f590adc, 0x024b2162, 0xa6df6100, 0xf88c7f0e, 0x050d7c75, 0x68c513fa, 0x907939ee,
+    0x529463b3, 0xef4461c8, 0xac89a705, 0xa21dcda1, 0x287f3463, 0xafc295f0, 0xe6a4df1c, 0x81f1c2b5,
+    0xd4d85ab9, 0xb26903e8, 0x0df2551d, 0xf9fb7111, 0xa2b2c585, 0xf5016906, 0xd0671e3e, 0x7cae0757,
+    0xa43ffa19, 0xf9311395, 0xa50ea4cd, 0x0fbfe1e2, 0x103ee14e, 0xeb2cfe13, 0x7a7712f3, 0xdfe04ee4,
+    0xf16c5e72, 0x74a30c82, 0x7b99bc10, 0x198d7049, 0x38d19373, 0xe7fd1a5d, 0x793b3c98, 0xd9f4e6ae,
+    0x67c2724d, 0x864431dd, 0x9d69bb2e, 0xfae8b264, 0xe208e771, 0xec1c47c7, 0x2b226276, 0xaf87f41e,
+    0x4d26eeb3, 0x5e680583, 0x5514a401, 0xab3c0c43, 0xb11e72c3, 0x31f10097, 0x3a84151a, 0x8d8cb946,
+    0x72515c37, 0xca92793b, 0x714b3a5c, 0x9ad74ed1, 0xb067a81c, 0x9b3c2480, 0x1e85cd9c, 0x5a3b2073,
+    0xa6276d64, 0x65a7a5da, 0x595720b1, 0x75b048e4, 0xb3fca435, 0x02545ea4, 0x8401fbf3, 0xa915c8d0,
+    0x5433b074, 0x1c7e2982, 0xe64d164f, 0x9c59e561, 0x98e24740, 0xad6bd91d, 0x37ce0bdb, 0x20f03ecd,
+    0xfddb2435, 0xd5b25c48, 0x706d33a5, 0x0f0115ce, 0xb2758ef4, 0xd10bc4aa, 0x7ac9f11e, 0x6d60ab17,
+    0xe968c031, 0x088c2fe3, 0x800e5b21, 0xa31a03f6, 0xe6ccbab0, 0x852af104, 0x391ef90c, 0x15023a5d,
+    0x89861a38, 0x184bad78, 0x35499436, 0x0ebb9ac9, 0x9974bfe9, 0xd08bd31f, 0x4549faec, 0x4ac3e3f7,
+    0x8fc9d383, 0xd39819c6, 0x6e30d499, 0xe7b28ed2, 0xfd93ff4f, 0x64625d13, 0x827db125, 0x02dbe35c,
+    0x3972e7fe, 0xcb56fb42, 0x20e70755, 0x804b77b0, 0xcc7cac60, 0x68f53d4e, 0x961130dd, 0x1c0fa120,
+    0x6596b814, 0x49062ec2, 0x0db68fba, 0x3a82ce08, 0x5d4e095f, 0xe4b44018, 0x1b5cb3c6, 0x405e0457,
+    0x941d5f28, 0x9a655390, 0x381c931c, 0x80600e67, 0x202973e0, 0x52e9579a, 0x7fb3e9cd, 0x70cdf6ef,
+    0x26af9cea, 0x978a5625, 0xc827c3ac, 0x94e04a91, 0x7a25dfd3, 0x8e40db2f, 0x05eb238d, 0x840c60c3,
+    0x74080ce4, 0xe68f74e0, 0xb3131a3a, 0xe50221f4, 0x1baa773e, 0xf10e4dd1, 0xedd1998d, 0x53a97306,
+    0xd5f43d96, 0x75f5e92f, 0x977ae1e7, 0x5b564451, 0xce17ffb4, 0x76eb871b, 0x3f3a2efd, 0x18cfece2,
+    0x344b6dc2, 0x3b6a9e05, 0xba7de1c1, 0xa0b2400b, 0x569c04fb, 0xfdcd0a55, 0xd3192c42, 0xb02e6ca9,
+    0xf8252c13, 0x993821d0, 0xbe91c385, 0xc1800dc6, 0x0ded99cf, 0x4e87bf0f, 0xdcb2bdcc, 0x49eeddfd,
+    0x1947b2c9, 0xe86d2181, 0x98e807c4, 0xe79206e8, 0x0d5b763b, 0xd0ca6e94, 0xffdd4329, 0xa44ebccd,
+    0x42898268, 0x5d2c820a, 0x75123a13, 0x32c91892, 0x58840611, 0x72c6fca9, 0x19ed46e0, 0xce075a72,
+    0xfba97188, 0x885775b3, 0xe2da40b1, 0x38163c41, 0x8319ba2a, 0x140ed3ca, 0x7e691bf2, 0x9c203e19,
+    0x6aeb70a7, 0x9d54d494, 0xc03ed079, 0x5f54a4f1, 0x1a1e9acf, 0x3c79b0be, 0x6e8184cc, 0xed21d3b5,
+    0xa1fd5842, 0x393e94d0, 0x5659d476, 0x7e2c3f6b, 0x86eaf841, 0xea63c08e, 0x3e83bf8a, 0x91e4d7d0,
+    0x176c1599, 0x8b8a8060, 0xba1d44e2, 0x2bc5972f, 0xfe4d31d3, 0xe1d47e52, 0xd626d158, 0x48269f3a,
+    0x3e15271b, 0x85e01908, 0x4c576cfd, 0x8c886cf6, 0x5613343f, 0x3c7d25e6, 0xa3468303, 0xf47c49f1,
+    0xbe78155d, 0xa8196ece, 0x99365fef, 0xe6c7af66, 0x8590c80e, 0x16248105, 0x5079af7d, 0xc1387ff5,
+    0x9ff222a2, 0x1d3397d9, 0x93609168, 0x427e0ff4, 0x79ac12e5, 0x40fdf52b, 0x6eb98fc5, 0xde6cb3d4,
+    0xe44308be, 0x38634439, 0x5f5d3ee5, 0x5908cb63, 0xdc22c085, 0x018a8024, 0x87cd5c19, 0xfab3c231,
+    0x1ae0d32d, 0x4495c4e1, 0xba33563f, 0x149ac3bf, 0xb771662a, 0x828807f5, 0x56bcc741, 0x4a77cb9e,
+    0x5052c01a, 0x64754b33, 0x13591a98, 0x44dc7dce, 0xd1783023, 0x6b42a14b, 0xb7584957, 0xde470e04,
+    0xbdfbcfb7, 0x2f70b449, 0x769b42f9, 0x82f204c5, 0x83fd3e67, 0xe5331882, 0x10ddb61a, 0x0d9639e3,
+    0x22c3a09c, 0x82939611, 0xcbf427de, 0x4d6bce85, 0xd0c97885, 0x47462688, 0x43b1b814, 0xd162217b,
+    0x71528c84, 0xa4d150d8, 0xf30c983c, 0xafce8958, 0xe105c471, 0x87889ec4, 0xbcb61e3e, 0x9d1364fd,
+    0x17c2dd78, 0x3491d685, 0x89d7e8ba, 0x750ea6d7, 0x2e1d24a4, 0x1104eedd, 0xe180d381, 0x7b2ffac4,
+    0x57d49b8c, 0x2ce23ac8, 0x9b3c5497, 0xed7303ea, 0x2c7827a6, 0xd66d0cb1, 0xaf6af179, 0x0417f47b,
+    0x70ec49d2, 0x96b621cc, 0x0bb113da, 0x176964ae, 0xe7ea4f90, 0x00d77be7, 0xc933dfa9, 0x558ff692,
+    0xd10a369c, 0xcf894346, 0xd3565006, 0x68a0abd0, 0xaee1c1d2, 0xc086da10, 0xcd411eb3, 0x99b435ec,
+    0x2b3568ae, 0x18b4ed2e, 0x968c4215, 0xb53d76d9, 0x68521ea1, 0x16d6e3e9, 0xdc86aca1, 0x9bb58bb1,
+    0x3c131ffb, 0x08d77e7b, 0x46969486, 0x64bdbd41, 0xe5fbad70, 0x7b2477ca, 0x9ba0a361, 0x7a58e0d2,
+    0x122395be, 0x83530267, 0xb46922dd, 0x28b66133, 0xf32305f4, 0x507de3ec, 0x296434b1, 0xf7017260,
+    0xf9415648, 0x9b9a5b94, 0x513d715a, 0x7dbcfa68, 0xf26ee6b4, 0xe2ac7426, 0xf8b1ff43, 0xdebbe054,
+    0x952896b9, 0xfff234e8, 0x6d411fe9, 0x7e18d1a6, 0xbb725d97, 0x930bdae6, 0x31f2de78, 0x224ad0bd,
+    0x7489cb43, 0x0d0b312f, 0x1b2733d1, 0xa9f393a4, 0xf716e30f, 0x5b23fc23, 0x43010056, 0x6008ce66,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000002097152 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0035269d,
+    0x00000000,
+    0x86bd34c2, 0x56458f50, 0x802f7541, 0x2922cc45, 0xf3b04ad4, 0x48277f26, 0x7e8105a1, 0xf75b0e54,
+    0x0e41438b, 0x846cf140, 0x6767b837, 0xc3c3e5d9, 0xe40df3c2, 0x526cae95, 0x0074c8e4, 0x6b9db55b,
+    0x9df15f75, 0x1bc80ea0, 0xa666d1a0, 0x3de9f3c0, 0xa1c025f6, 0xd036cb9c, 0x93e3c928, 0xf0dcf9ed,
+    0xc860b6a5, 0xe5aabe83, 0xd9c934f7, 0x606b6fd5, 0xa00f600a, 0x46ec9fd1, 0x9abf265c, 0xa0109385,
+    0x14479c23, 0xeb02df1c, 0xa32aa7ad, 0x93c9c1a6, 0x36f3985b, 0x2b43d024, 0x3f2a3bce, 0xabd9ed78,
+    0x5bb89668, 0x6d42266c, 0xb70b1326, 0x7225e216, 0x40187d47, 0x5789175e, 0x01bd4b96, 0x7410a9ae,
+    0x38f74291, 0x98fc0b1e, 0xb25d05f8, 0x0dc62235, 0x75993dc8, 0xebf6ba6b, 0x1b9fefe8, 0x11aaf23e,
+    0xbc3a40c8, 0x6fb71a5f, 0xcb20ce01, 0x08ee40b9, 0x33d8350b, 0xe32031bc, 0xba304ec6, 0xf6a6a57c,
+    0x6b6c1eed, 0xfe11c056, 0x885bd48f, 0x2d2ea386, 0x855806d4, 0xe9080428, 0xeb63e2d9, 0xcbd9e468,
+    0x3bb1d585, 0xeaaf77d8, 0xc1a56c4e, 0x790cbed2, 0xf9e50e10, 0x3ffe74ed, 0x74b22649, 0xb47c8bf8,
+    0x9b5fa119, 0xe0e9beb2, 0xfa8ea38f, 0xef7879f6, 0x69026f70, 0xeae334ce, 0x2d13bef9, 0xff0efb2b,
+    0xe51cf1b5, 0xe9316e2f, 0x3717dc72, 0xcd267c48, 0xf202f07e, 0xba1e08b7, 0x13496f83, 0x0f36848d,
+    0x6f82c5df, 0x97b43742, 0xc66d8a89, 0xb80209b9, 0xa3e1b9cd, 0x9ecdfc3e, 0x07794859, 0x2c42f506,
+    0xdf886b03, 0xb0c31daa, 0x45b5a822, 0x3ee755ec, 0x6c60555a, 0x30f8f94f, 0xed373e7d, 0xbf6688ee,
+    0x222a9ee4, 0x5ca5b86b, 0xd267910d, 0x2d319360, 0x4a4c7247, 0x302d9006, 0x79f00d6c, 0x9a20f61c,
+    0xdd63d7b6, 0xfe13576d, 0x3807dc13, 0xb2c6ddb5, 0xdf158c12, 0x4b32b6d5, 0xab7cf164, 0x5dbcc090,
+    0xdc248de3, 0x40289796, 0x71d3199e, 0x7f488abf, 0x3c8284cf, 0x779def1b, 0x46f283b0, 0xef10cffa,
+    0x10ef8c30, 0xb8ef0241, 0x72efe858, 0xf00a8e97, 0xd7c23e8f, 0x64867a92, 0x94c843b5, 0x87433798,
+    0x6d90ebf9, 0x734b9d95, 0xfb54bfd9, 0x02790173, 0x520bd111, 0x14d077de, 0x4cce944d, 0x9e71f63b,
+    0xf6737eba, 0x23030358, 0x58e359f4, 0x7fe37131, 0xbd650440, 0x9afa7091, 0xa2e960d4, 0x800c8373,
+    0x4e049eff, 0xbb8e5210, 0x28ccc34a, 0x65cb681c, 0x35150978, 0x8584c724, 0x66cfe211, 0x038100cd,
+    0x3099c5e8, 0xcb42d903, 0xae477b2e, 0xd53cbb4f, 0x25300450, 0xf37603c7, 0x94c52545, 0x4bff07ca,
+    0x0a9d17a9, 0x4d79a1e7, 0x797e4b88, 0x3515491d, 0xdaca6551, 0xc0e299a6, 0x67bd874a, 0x64011c9d,
+    0x0c7d4537, 0x3b5254ef, 0x0810c455, 0x2dd554d4, 0xcd670d69, 0x14fb6a51, 0x38c3a0bc, 0x71df8c15,
+    0x9e86eb7a, 0x30c438e5, 0x52aedfaf, 0xccab9939, 0x176ee516, 0xa6ff4d8b, 0xac187c48, 0x8b405d08,
+    0xda28da09, 0xee3de02f, 0xc938c0de, 0xcc2ab9aa, 0x5f76409a, 0x8c4f035d, 0xe4cbb8da, 0x2be5d71e,
+    0x9738cebf, 0x83d2db31, 0xc35c5e2e, 0x88b99584, 0x67714b2b, 0x0fdc83e1, 0xddc62e3d, 0x777edc4c,
+    0x7c3c5fb8, 0xdd280999, 0x6cf19b4e, 0x3a64e126, 0xb3854a17, 0xed224880, 0xb22c4810, 0x1bb97b8e,
+    0x4c06804d, 0xb944bbac, 0xf69591a3, 0x2b5ee24c, 0x702ba1b9, 0xb226e1d6, 0xf11035da, 0xc0dade08,
+    0xc25ba92b, 0x70d52b85, 0xa28a0bfa, 0x58114ae5, 0x1f12d386, 0x37a4ad44, 0xd26f70e4, 0x698c694e,
+    0x99afcb5b, 0x9bba156b, 0xd22b9309, 0x06d79060, 0x54d7cb8c, 0xc53c15a2, 0xdba3d206, 0x44fe720c,
+    0xeded0adb, 0x64f21534, 0xd657d6d6, 0x4a42163b, 0x6c1efdb5, 0x1fb65e27, 0x79040475, 0x57cb2a66,
+    0x02cbea76, 0x9a35ec52, 0x47c65838, 0x86e081fa, 0x288bff03, 0xb35e0f16, 0x6cb0e29b, 0xe6a7cbb4,
+    0xc863ef33, 0x2bc8e5cc, 0x1b209ec6, 0x34f46901, 0x38f47831, 0xa01c0d52, 0xebd5e618, 0xb6443460,
+    0x19d5d997, 0x1fd25ff4, 0xf4cca1e4, 0xcdba066a, 0xd16040b5, 0xc9372587, 0x42267a6b, 0x950d78c2,
+    0xd42c092c, 0x9690277e, 0xfbd6fea6, 0x94b1f3d3, 0xb4823174, 0xefabbdb8, 0xf1500fd9, 0x77211843,
+    0xa7bcf170, 0xf7a2b831, 0x2a79796e, 0x47a10900, 0x78556878, 0x110681e8, 0x0d8285f9, 0x8a7bf2f2,
+    0x36e75859, 0x6d89c264, 0xab6d4756, 0xcf76e6dc, 0x99fa5851, 0x2f5c18c2, 0x08f8d1e2, 0xc068f712,
+    0x035f4e15, 0x1fa46417, 0x81768503, 0xcfef8e17, 0x3ac5d82b, 0x4e242180, 0x3ec52d53, 0xb4d098ad,
+    0x3cc6c91e, 0x91a6af34, 0x9bff7b85, 0xb268af83, 0x79c8d7b3, 0xfd4ab6d7, 0xfbbf75e0, 0xad74cdf1,
+    0x015644de, 0xd8feead3, 0xf8a09f1d, 0xb81e3e2c, 0xd721c707, 0x30bf3a40, 0x28975f44, 0x5c160632,
+    0x9ffd99b8, 0x8c349007, 0x5eab388c, 0xf2bc5dca, 0x02990828, 0x53c7456e, 0x780fd0ad, 0x2ca788fa,
+    0xe667e0cd, 0xbccd4af4, 0x58157648, 0x8163feb8, 0xfedd3dc8, 0x787d41ca, 0x5c15dfa5, 0xf4896996,
+    0xacf93f73, 0x32808716, 0x48cf4def, 0x7399f1ce, 0x109845a7, 0xb1c91504, 0x3afc32b7, 0xae3cf829,
+    0x684729ee, 0x25db9a34, 0x72db69de, 0xa6ab238c, 0x27655502, 0x79e9c96f, 0x4147eccf, 0x54bd02e9,
+    0x47e94714, 0xb8e05299, 0x4b465c86, 0x36175900, 0x6e2d535e, 0xa54b3174, 0xb6523d22, 0xe57811d0,
+    0x3506ceca, 0x74ebea91, 0x6b4ebabd, 0x1d870894, 0xdfab5346, 0x23bdd8f8, 0x07d2507c, 0x38a25fbe,
+    0x42721b2b, 0x0bda327d, 0x0fe36f89, 0x93bbed8c, 0x3e699857, 0x9cc41b8b, 0x0012d297, 0xebe20204,
+    0x21ac3cc2, 0x6525aec2, 0x7dc22386, 0xcdd251b0, 0x38160f30, 0xde0f930c, 0x89f45e5d, 0x20fcfea4,
+    0xe537c760, 0x91c37e3b, 0xdb137a05, 0xf1696ad3, 0xa26842fe, 0xc9a40ce7, 0x59e25aaf, 0x0c37f7b6,
+    0xeec2be73, 0xb59e987a, 0x61e2e760, 0x9a9e6d26, 0x2536748d, 0x468a7c93, 0xc725aef4, 0x6b58ea62,
+    0xf2bb464f, 0xd6d10b54, 0xf61f5fce, 0xe0903044, 0x78ba2813, 0xcddce8e4, 0xf1b36c0a, 0x95a7a1ac,
+    0x2a2a1b63, 0xa76d7059, 0xa83cff34, 0xce7623ce, 0x55d4289e, 0x834edd47, 0xb72efb58, 0x6a4e190b,
+    0x54af3823, 0xbae04ae2, 0x290c846f, 0x9cbf46c6, 0x2050f20b, 0x64427ce3, 0xda64d9f1, 0x15fb5725,
+    0x3aa1c7c0, 0xdb1d4ed1, 0x28b84ff7, 0x9646a4d8, 0xd6ec4f72, 0xc4727bc1, 0x09b6804a, 0x7ec60c11,
+    0x1c3abd9e, 0x9a49b023, 0x90da4418, 0xe9abc57b, 0x95c10b67, 0xb8b79ddd, 0xbcd9b03a, 0x1020fb2c,
+    0x0d07c438, 0xa88b960d, 0x21a6225e, 0x8aaba15f, 0x14f3a13c, 0x1861ce48, 0xd2d001cd, 0x092147ba,
+    0x52aff357, 0x09814bbe, 0x7cede5d4, 0x606e5388, 0x1d2bc7f4, 0x8355fc98, 0xcf68de2f, 0x1dccf66e,
+    0xce63448c, 0x609e4ff1, 0x32d4376f, 0xffb8a664, 0x28a6e598, 0x5cf69b6e, 0xa582b875, 0xda97aca7,
+    0xece223f3, 0x2cb0dd48, 0xc558fa4d, 0x1a29ff63, 0x7cc9eb8d, 0x44698b08, 0x4f44bf5a, 0x6bcec666,
+    0x76769b04, 0xf60dc454, 0xb2f78ecc, 0xc4dceb41, 0x0d5b7d0b, 0x2c4c35be, 0x7f7997fd, 0xe8bd3dc2,
+    0xcdc18f8f, 0x09699ade, 0x89806324, 0x86e29fd9, 0x754bbed1, 0x727d4a2f, 0x07312d0a, 0x0f4c020b,
+    0xe69dbe35, 0x53747d29, 0x675998f6, 0x4bccea65, 0x1318d390, 0xb0b1d337, 0xc7ae626e, 0xe033e3e4,
+    0x15b67397, 0x5845998d, 0xd0f0a4e0, 0xec17a6e8, 0x10f53e10, 0xac949e08, 0xb1b7bec7, 0x2d686167,
+    0xd1a5a3fc, 0xacb99813, 0x659477c1, 0x396bedb2, 0x42149d75, 0xff6aeeea, 0xffe44418, 0x6d5c3647,
+    0x1cf72996, 0x16dbcb09, 0xf037b06b, 0x8a7b5fc7, 0xe0addf49, 0x968c103e, 0x2143e642, 0xffc2f553,
+    0x56398077, 0x567cdd83, 0xadbec147, 0x10c09929, 0x8cee56d6, 0x88556d11, 0x61e12b0b, 0xedeee888,
+    0x6a5cc5f5, 0x90a19958, 0xf9df8cf7, 0xd63ff3ba, 0x63c7f9e4, 0xb81337fe, 0x171a7780, 0x02581d7a,
+    0xc3559001, 0x0936aeb5, 0x383a3ea8, 0x0b10f5d0, 0x50907c5a, 0x8f291b6b, 0x0a5af39e, 0x1c07d4ab,
+    0xd14c0dda, 0x30856f79, 0xeacbc740, 0xc59b4e57, 0x1d7c35d2, 0x48962446, 0x5e0fa417, 0x09056e2d,
+    0x4b460a12, 0x228ef58d, 0x7c9bbced, 0x6ca05919, 0x0557f33f, 0xa7fea5bf, 0x36a11026, 0x33fbf5d2,
+    0x6264201e, 0xc9bc7246, 0x7027cabf, 0x8ec131af, 0x9c9574a4, 0xda1d35ea, 0xab023a40, 0x05378656,
+    0x06dc040b, 0x35e0c7d0, 0xc7460d52, 0x8ffd231f, 0xc0c96aa1, 0x44b4fb83, 0x04365388, 0x3eb4f83f,
+    0x4f484cde, 0x2146d69a, 0x817c98cb, 0x631b8cab, 0xbe1ed3d2, 0xf3c155b7, 0xe4ba2381, 0x9fa053e8,
+    0x63066495, 0xa8f66970, 0x9d99e35e, 0xc57eb75c, 0x7e38301d, 0x1959127e, 0x2c1d7e97, 0x17c700ef,
+    0x81225e01, 0xd39e355c, 0xd559eb3a, 0xe46ecb82, 0x990b64e0, 0xe69046ae, 0xe99899e2, 0xd44c6103,
+    0x98eb86a5, 0xfcac4305, 0xd2d9fb3b, 0xdd909178, 0x06686d09, 0x764b2afc, 0xed0647f6, 0x94df5cc8,
+    0xf10c0f4a, 0xfffd4f9d, 0x99fc716b, 0xb2fb8b34, 0x9dee040c, 0x97a3dc34, 0xec64de65, 0xbdba375a,
+    0x0a45614c, 0xec7be43d, 0x49678072, 0x2ed6c3c7, 0xc4738dd9, 0x008e3c00, 0x4cd3e9cf, 0xb8530fd5,
+    0xd4e17f21, 0xacafb639, 0x3a5123d6, 0x1fa945fd, 0xe353d8f8, 0x5206a338, 0x0c1543f0, 0xf8d22950,
+    0xb131001a, 0x8a22df78, 0x81cf1db5, 0xae6256e4, 0xb3ff5cbe, 0xa1d3a511, 0xfc91cfb1, 0xda5e783b,
+    0x7c056c19, 0xd2a07678, 0xa9553e1c, 0xd61d29c6, 0xb48ab453, 0x17e36325, 0xf76fc8b3, 0xe6e67a30,
+    0xbd4724d8, 0x6e425c40, 0x1148b4a2, 0x3b9815b0, 0xc8177be1, 0xb26608c2, 0xec78d8c8, 0x864a29df,
+    0x67015eaa, 0xac03e8b5, 0x09c5eb9c, 0xdaacf56c, 0x05a5017d, 0x529a88ca, 0x4713be3f, 0x6b90528f,
+    0x643dbe6e, 0xdc6de022, 0x636f5791, 0xad794309, 0xcd30cf72, 0xd0ee071d, 0x6158ff0e, 0xd9839353,
+    0x4207776d, 0xba6fdb5c, 0x9e3a975a, 0x86429fe2, 0x1bb449b9, 0xf1dec809, 0x41a2fc00, 0x8cb1b0fb,
+    0xa6e798b7, 0xfc8908d5, 0x7429e0f4, 0x57b8e8af, 0x3e3e3793, 0xfa091219, 0xdc48b53c, 0xaef87626,
+    0x093654e2, 0xbf599b54, 0xe5a04529, 0x02cecc95, 0xda25b720, 0x6a6df632, 0xff3af05f, 0xcfb8bb1b,
+    0xde1e1ab7, 0x17aa603c, 0xd376f9b8, 0xb7090d90, 0x15d7597a, 0x35f371b9, 0x8855370c, 0x0b099d48,
+    0xa0238a24, 0xe9c811eb, 0x2bb4aa14, 0x3c5c0b5f, 0xb1a013d8, 0xa311275e, 0x33fb9d71, 0x634628c0,
+    0x8752ea9a, 0xbcd97cf8, 0x9193f1b4, 0x0e9ddd7e, 0xc53f0b19, 0xe6b71676, 0xbcf8c1b3, 0x5f67834f,
+    0xa73012ed, 0xdc896325, 0x3123f94c, 0x80b58f72, 0x5b6b6f34, 0xfe1dddaf, 0xe4e10f3f, 0xe4821d5b,
+    0x11bee51d, 0x7ca3b4fc, 0x61878567, 0xeaa81fca, 0x8f5d4f10, 0x16318588, 0x8bf03604, 0x5fb42330,
+    0x743c1333, 0x83c8a437, 0x736b162b, 0xb4cf79f5, 0xff6fb50b, 0xe50bebd6, 0xb197b2ff, 0x4a49c49b,
+    0x510b6ec6, 0xc75fc99f, 0x36a60cbf, 0xfc5d26b4, 0xff0de627, 0x78370206, 0x579c49dd, 0x31626b53,
+    0x44261124, 0x15201cb0, 0x150dfa17, 0xa9c9a160, 0x89b79e53, 0x988e13bc, 0x47ede5af, 0x859267b2,
+    0x22b20a44, 0xac4b6615, 0x47c329ff, 0xbf4d5b21, 0xe740e51d, 0xd4427815, 0x518d0c39, 0x674e0846,
+    0xa3374584, 0x99833fc0, 0x232d56f2, 0xa3d5ed6c, 0x7500e58b, 0x1854c42b, 0x9663b154, 0x11738eb4,
+    0xd084bf56, 0x20793e98, 0xa4c89f06, 0x36362939, 0xad3696af, 0x4af571f0, 0x41bb9d3c, 0xf1b9c4cd,
+    0xafd389b6, 0xc6ce2f57, 0x36cd204c, 0xa80a0748, 0xbf428233, 0xbd04875e, 0xd01ef693, 0xff52e9bd,
+    0x7ff019e0, 0x2bea5097, 0x23c60df3, 0x162f2bfb, 0x54ddba6b, 0xeb3b4b73, 0x21d2d5f1, 0x42a3dc3e,
+    0x042935f9, 0x5ee9e7af, 0xb9e7cc9f, 0xae1b021f, 0xe2bbb822, 0x9e388d84, 0xd4a27e5f, 0x71887e44,
+    0x1184b673, 0x053c6840, 0x3152689d, 0x0ab5c742, 0x823edc40, 0xc15ebb59, 0x856c41b1, 0xdb787d37,
+    0xeeddd49c, 0x67ba41fe, 0x9537f4f4, 0xa1c34a6f, 0xf6884ac2, 0x57796ce6, 0xef01c971, 0xb9e7c82e,
+    0x6c22c113, 0xe2d12ca1, 0xcf912502, 0x1805fab1, 0xbd5cff37, 0x348a6c3f, 0x6bb6a0e6, 0xe71086d4,
+    0x64c16506, 0x8b2d0774, 0xc9070b81, 0xa0259e3e, 0xbe5a96e1, 0x1378b8fe, 0x5cad1d3e, 0xbe6ad194,
+    0x904d2a30, 0xc19ab0fc, 0x4e8cca7a, 0xf9a73d5f, 0x241a0ada, 0xe6f3770f, 0x6de03932, 0xe6b092e6,
+    0xd6db34a1, 0xfd3cae16, 0xe8211ab5, 0xc2731bce, 0xd28c57e9, 0x45917e1f, 0x55902016, 0x563330bd,
+    0xe82c2b78, 0x897ac774, 0x35079b1b, 0x1386b1ae, 0xe60f427a, 0x514801e8, 0x9e8efd11, 0x97faf97e,
+    0xbd31287c, 0x9d3de8fe, 0x03162afb, 0xf93a4267, 0x596315f1, 0x837eff0b, 0xa8bc01e1, 0x6c7102df,
+    0x2fdb2ef0, 0x2e037cef, 0x057bc600, 0x2ec92f13, 0x1c8a89c9, 0xb6a52a62, 0x8dc01503, 0xa9ad5d97,
+    0xd1fb711c, 0xbb747f4e, 0x0df0820c, 0x98b9e269, 0x8a87b164, 0xa68a6da6, 0xa66a20b6, 0xbed26489,
+    0xfd71c9df, 0xed37723f, 0x1f2c2c5c, 0xe48eb8ad, 0x0ffa43e5, 0xeaa6a82e, 0xe2b27e15, 0x3dfec8dc,
+    0x295fec66, 0xa1c5fcd7, 0x993e8692, 0x0aca3109, 0x8993081c, 0x027f65c7, 0x4830c1a6, 0x11ddd639,
+    0xbe83756a, 0x47dded51, 0xa29fa16e, 0x8058f20d, 0x620a9630, 0x6f9c3ab2, 0x926dc9a8, 0x31e8f914,
+    0xcd954337, 0x01646865, 0xb3642e47, 0xcfec1184, 0xc3c0f2c0, 0x0b3b98c1, 0xcd3fe618, 0x6212b7ca,
+    0x62c0cbcd, 0x907e1ae2, 0x5a5976b4, 0x54b4c3ac, 0x6a8be474, 0xabd898a3, 0x78eb28d5, 0x5f6ee53d,
+    0xa5234f6e, 0xd47e07fd, 0x7989cb3c, 0xc86976fc, 0x3de86770, 0x214720a7, 0xd4389b65, 0x3fd05ecd,
+    0x6a4fe0cb, 0xbe115e94, 0xd6fcf1af, 0xc31add7c, 0xa3657dad, 0x235c4cdd, 0x0fe83c00, 0xbc3618be,
+    0xd6577069, 0x8f9f327b, 0x085764ef, 0xc04a8f77, 0x8b1557c6, 0xce501095, 0x171e24df, 0x2ed0e3f1,
+    0x7e8a3ed4, 0x20fbbf63, 0xc09d9722, 0xa86342bd, 0x5d57a1e3, 0x9f369091, 0x5605f452, 0x4d69f687,
+    0xdd6d7f36, 0xa12e0ac3, 0x3d51cc90, 0xcbdee0e2, 0x04d1d422, 0xc2f6c439, 0x5789f8ee, 0xa6f6104e,
+    0xf3aa0258, 0xd5f75e69, 0x4349ce54, 0xfab07674, 0xc33af444, 0xe7536ba5, 0x4a053f1c, 0x35db8eaa,
+    0x4bd728a5, 0x54e61fe2, 0xad759ab2, 0x84b29fdc, 0x5cf240fb, 0xbd5563e7, 0xccbb453e, 0x6bac71bb,
+    0x04bb9329, 0xe7069771, 0x68d00e6b, 0x4dd1a430, 0xba6ada51, 0xc4976ef3, 0x7b915cbf, 0xa824af39,
+    0x19737125, 0x90caa51c, 0xcc08c53f, 0xb86ccb87, 0x7067ea4e, 0x489a2950, 0xf574f3c5, 0xdcb9da8d,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000001048576 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x001a934e,
+    0x00000000,
+    0x835389e3, 0x24b7c316, 0x672f8d86, 0xf5c3f7ea, 0x7c8bc2d9, 0x30803234, 0x75dd3ccd, 0xa6e2ff6c,
+    0x11aa6e24, 0x412496d1, 0x68bc4862, 0xab1856ed, 0x3e81dd8c, 0x2758db81, 0xe34e191a, 0x63b1e4bb,
+    0xcf1a37e0, 0xa1f03a55, 0xc71d6a88, 0xc7b858e2, 0x4c511cea, 0x5cb944f0, 0xda31ee8f, 0xfa46e94e,
+    0x4e095f20, 0x90b9df9b, 0x092a761f, 0x193c7b84, 0x9b97d929, 0x7dca703e, 0x76fdda4b, 0xaec431fc,
+    0xfa67f169, 0x698412f6, 0xfd334a88, 0x752e7c36, 0x3df3dba7, 0xd5d35ba8, 0xb714f685, 0xa33292a2,
+    0xa47f1232, 0xc962e35f, 0xced3eec2, 0xb8e8d664, 0xda2a9ff8, 0x1508430a, 0xa515c0ae, 0x5c32e6da,
+    0x7f4b7063, 0x2882f159, 0x07f01ae5, 0x2a944808, 0x69d8759c, 0x10ccc0b0, 0x58658a86, 0x0b55029e,
+    0x2c81941d, 0xa5536314, 0x48d6d959, 0xb8a61fbe, 0xc94dd7f9, 0xe9ab0cea, 0x0a42d01e, 0x9b6b8805,
+    0xeb30c3af, 0x71f2fb2b, 0x4af818dd, 0xc327f36f, 0xfb7610bf, 0x1d91c19c, 0xb5aa9eec, 0x43b19f64,
+    0xadedf9ac, 0x51bff1b7, 0x8d186708, 0x415800db, 0xee699db6, 0x52c885a5, 0xf13c7228, 0xd5f77edb,
+    0x692fa7f2, 0xab3cdb2a, 0x0ec43cf2, 0xb3a4435c, 0x775601db, 0xdf15bff1, 0x8bcd4bb5, 0x10d9024b,
+    0x4419fcf7, 0xf150092b, 0x94ae7cc0, 0x8508e09a, 0xacee1461, 0x908ed903, 0x700519dc, 0x0e0f4349,
+    0x0a4c345d, 0xa32d9e88, 0x3f6f662e, 0xfb9df990, 0xc5ba17c2, 0x681f73dd, 0x959c61bd, 0xf78d8008,
+    0x28700464, 0x48aa8307, 0xc32c0f42, 0x68ed1db7, 0x594e5b71, 0x4a8781a0, 0x8e53a050, 0x115395da,
+    0x28c2c781, 0xf99120ce, 0xcf8d9e33, 0x1fd651dd, 0xa6131bbe, 0xce3809cd, 0x1a2a0187, 0xe667526f,
+    0x2937754d, 0xdf69777a, 0x66ca1a91, 0x97bf6698, 0xa768a3f6, 0xb4c7efb0, 0x201f3150, 0xeae7cc67,
+    0x792e978c, 0xa4bc6343, 0x3a13e8b5, 0xd4f8c4f8, 0x4ace3cbb, 0xd8ed94d8, 0xff11581c, 0x38d2ae18,
+    0xcb705cf1, 0x97801fdf, 0xf89af567, 0x83730baf, 0xc0a86f15, 0xb520561b, 0xbff52978, 0x20c7f336,
+    0x103bf075, 0x102a22a2, 0x99d72d2c, 0x1119fd5d, 0x71daa0c9, 0x22d7e192, 0x80888bda, 0x7f8e25dc,
+    0xabf14ef5, 0x61285823, 0x20b088aa, 0x35e50368, 0xea46e346, 0x69c51665, 0x1b00fb76, 0x7fc49970,
+    0xcf00366f, 0xd5ee80d1, 0xcf5e6c8b, 0xbd08beef, 0x42bbaa44, 0x03adfc52, 0xb1b4a13d, 0x1bce3ebe,
+    0xba0dc584, 0xd352ad0b, 0x20476a42, 0x88ad0184, 0xc6e3f3a9, 0x31b867e5, 0xc6a11edb, 0xda609452,
+    0xb917e0ac, 0xc2aa2454, 0xa1b7f766, 0x628e6cab, 0xb2bc7055, 0x38e516d5, 0x04e4a406, 0x1d89341a,
+    0xaf47b0bd, 0x9a425998, 0xc53638e7, 0xaa0f5aed, 0x39a6109f, 0x7a0f9fe2, 0x5565c694, 0x08e53f9a,
+    0x0d6ac36c, 0x980974c5, 0xdbb2adca, 0x76071d7b, 0x0a89d11a, 0x1cef5a46, 0x128bf1eb, 0xa810cf29,
+    0xd52a604b, 0x43798b9d, 0x9c4c9e0c, 0xbe7d0667, 0x51cea77b, 0x9d7d53f2, 0x6f262800, 0xc821b617,
+    0x8c626b15, 0xb9f42099, 0xe4efb507, 0xf29802f2, 0xbf911000, 0x34eeb524, 0x2841e048, 0x9ffb6614,
+    0xb2e48d5b, 0x196c1606, 0x46431f21, 0xf3451764, 0x6f038a91, 0x0925a02f, 0x5b46e23e, 0x642d9f57,
+    0xaf41f18f, 0x32496c08, 0xbad90852, 0x82128e91, 0x36bc2031, 0x27ca7b18, 0x76034d1e, 0xf5e8ef9a,
+    0xa360bba0, 0x2c17f38e, 0xc6ee22bb, 0x248685cd, 0x1c84a266, 0x73ee290e, 0x35e6fc69, 0xe59b2262,
+    0xbfe18e79, 0xe44db762, 0x85b7666c, 0x191e7ea0, 0xae92cb1d, 0x68543ffc, 0xbc2cb1c8, 0xfe0bd69a,
+    0x73b98d6a, 0xcd1dc8ca, 0x0e6aab3d, 0x3c419972, 0x64f3e37a, 0xbdfc86d7, 0xa43d052a, 0x8a2f0724,
+    0xc79a3e5d, 0xd1f920a9, 0x7dfadcf4, 0xb162aa76, 0x15e43bb8, 0x1daed2d8, 0x7aa860eb, 0x72158186,
+    0x927f3d90, 0xf09a5d4a, 0x4528d1c2, 0x02ecf5ff, 0x52c2f4c8, 0x9f5bb8af, 0xd380b896, 0xdb1b5277,
+    0x8e6fd9e6, 0x581ad20e, 0x2224dc6e, 0xa232d193, 0xb6f2f504, 0xca3e1f28, 0x4fa8bab3, 0x39b4f114,
+    0xd8bb720f, 0x594a832a, 0xd115dfe0, 0x18178108, 0x4b2aa4b7, 0x6d553ae7, 0x8cf3ec77, 0x00e8aac2,
+    0x8bd2b283, 0x5a4ee2f0, 0x66310789, 0x6fa5ac8a, 0xcb0a7994, 0x752cf29a, 0x9e1c6c6e, 0xba2cdbc2,
+    0x81615795, 0x871a88f0, 0x8ffa372c, 0x3cef955b, 0xce91637c, 0xe7e351c9, 0xc340451f, 0x5d9bc9c1,
+    0xb6bfd52b, 0x14cff643, 0xc59b2744, 0xb7d80d74, 0x23e021a0, 0x749cadef, 0xc7414204, 0xafd44e78,
+    0x5fd03c39, 0x374038d1, 0x3d0fe923, 0x78bca5b1, 0xcec7bcdb, 0x848152a7, 0xbddd25f6, 0x525042ce,
+    0xfb1779da, 0x21935e2a, 0x308ec85e, 0x5be65de7, 0xddae2503, 0x77aa12e0, 0xbc28aa2b, 0xe769f2c0,
+    0x7b5bb48e, 0xc20de4eb, 0x954ec2af, 0x6a1d7158, 0x773edb7c, 0xed6cc4d6, 0x1af5836a, 0xd6aa67aa,
+    0x70934be8, 0xd350e115, 0xe78080f0, 0x41f7c557, 0x747637b7, 0x40031165, 0x211a6112, 0x6691f06a,
+    0x88bb0977, 0x5d268ac3, 0x2c24f293, 0x2fe584d6, 0x8d6dcadb, 0x498a32cd, 0xc005ba92, 0x5e5b88f6,
+    0xc94fa9b2, 0xec4dc017, 0xfa1745e2, 0x1cf315e4, 0x8d9be4cf, 0x34f2327f, 0x77458aa1, 0x6c5d3f15,
+    0xfcc7d5f5, 0x503da8e0, 0x56709880, 0xe576c753, 0xa970f285, 0x143c4eb5, 0x819fa6f7, 0x229e5134,
+    0x0165a4c2, 0x358b151f, 0x328861a2, 0xf3ae2e88, 0x22f8eed1, 0x4b5f9002, 0x960f17ea, 0x13cdb20c,
+    0x2143e99d, 0x4bd246e2, 0x5138f89f, 0x0f867091, 0x6a2554c1, 0x539ca916, 0xaade47ae, 0x67d001f1,
+    0x26dc5711, 0xe43a299e, 0x4a61bce5, 0x70542fce, 0xe99d0e54, 0x2e12262b, 0xb6f9395e, 0x8a884053,
+    0x85a38afa, 0x9d2e4b29, 0x4584512b, 0xffc1aacb, 0x73c0fc37, 0xa1f638a4, 0x50b9c4dc, 0x3ffa607a,
+    0x0c7bf931, 0x67d911ee, 0x60e46c77, 0x05781efb, 0x49aa92b5, 0x9784aff8, 0xffba2e49, 0xe5e5ea49,
+    0x1f6062b4, 0xa2467e9a, 0x60b847d4, 0xced42bc8, 0xd2f77bb3, 0xca302835, 0x8d40dc85, 0x0b68445c,
+    0xeeccf459, 0x73d656c7, 0xb34a03a1, 0x8436b26f, 0x0f1bf5ce, 0xf661efb3, 0xd6342750, 0x6506d966,
+    0xf1185d28, 0xa0d59000, 0x9910fcb6, 0x4edd5998, 0x7a2174cf, 0x4fb3c3e0, 0xdd5ea164, 0x70c35fc8,
+    0xf8f5ebc8, 0x4e112d33, 0xe3b84d41, 0x088bb4f4, 0x0ee50811, 0x278c2146, 0x9c611d45, 0x9b1c47cd,
+    0xda54f2c3, 0xf7597c70, 0x4712c022, 0x1d7be513, 0x0b883430, 0x197252a4, 0x5fc61022, 0x4549416e,
+    0x65b3d8b2, 0x1c189aab, 0xf16af8d1, 0xb433289c, 0x34957d8f, 0x413a9ec3, 0xdb021a69, 0x44fff1f4,
+    0xa844cbb5, 0x0b348b8a, 0x63a24e8b, 0x1433a2c2, 0xec115644, 0xe87ad03b, 0xdc9736c9, 0x9d44edd6,
+    0xc4ed1860, 0x54eb294f, 0x72ff6e53, 0x4a4b587d, 0xab81bab5, 0xb69084f9, 0x42176c62, 0x2a77b8a0,
+    0x30604617, 0x94bf2e4d, 0x337b7f8a, 0x3deae3bc, 0x835459f3, 0x4c378587, 0xd43d8f72, 0x656baef2,
+    0x50d1a799, 0xce98ae93, 0xadf48390, 0x8770529a, 0xce258b84, 0x6af4261d, 0x4844cdda, 0x1f81be17,
+    0x73ab2ba7, 0x07812b74, 0xdddc1cbf, 0x9c2a9bc3, 0xe8ebdac8, 0x8cbdaab0, 0xce29f2f8, 0xd990419b,
+    0x6a2f1af4, 0x307a86d5, 0xd4eb9c5e, 0x2690ef13, 0xd6b77a4c, 0x35057786, 0xafcca723, 0x4f0e1c88,
+    0xd012744b, 0x0576c4e3, 0xaf8c66ba, 0x5fa3a3e2, 0xc37acdbc, 0xddd00718, 0xbd1dbe4d, 0xb25d0ce5,
+    0x47748e9f, 0xab4cc8af, 0xbaf65b6a, 0xfe4e4328, 0x55be2721, 0x703e56b5, 0x554aa883, 0xbb614907,
+    0x3dde6c8b, 0x813723d6, 0x20ad1639, 0x8c438dbc, 0xdf8fde8e, 0x98091170, 0x31607245, 0x01c94282,
+    0x4be9bf87, 0xdb6d67d2, 0x8c51c2fb, 0xbf23976f, 0xbd4acbb4, 0x0473cfaf, 0x1770152a, 0x2461ce23,
+    0xd4f028b8, 0x900f38b5, 0x7f20d9a4, 0xcbc82fd5, 0xe6ccb2e4, 0x71750f31, 0x8cefed4e, 0xe884ec06,
+    0xf3186411, 0x4bb9867c, 0xefcbd459, 0xc98d4de4, 0xd89e5703, 0xea299cb4, 0x2fa80f08, 0x960a24fa,
+    0xe5e90039, 0xc8f7fd13, 0x6367efed, 0xd7d504e8, 0x2d0d0d6b, 0x32402cc2, 0x49fd062c, 0x67f12990,
+    0x7d516404, 0xc93fb3c7, 0xa67c18f8, 0x7f7438b5, 0x6641686a, 0x7adebdfe, 0x74dfe141, 0x8e2e596c,
+    0x66e22ca8, 0xc8b5fc21, 0x7d384068, 0xb67a7bdd, 0x170e672d, 0x1922b30a, 0x30323e61, 0xdfb76854,
+    0xa5e56fba, 0xcf052399, 0xa8ddb84c, 0x546c50a4, 0x87117b7e, 0x05d00f15, 0x2a2b8058, 0x25610fda,
+    0xa734058d, 0xdffa4619, 0xea691834, 0xe2b87d46, 0x2056f4ce, 0xfb6df9b0, 0x18192076, 0x18ae0c09,
+    0xeea173fb, 0x2de39ee5, 0x321c5aba, 0x4fe3f92a, 0xa9849f2d, 0x30fd5c9b, 0x2101eb86, 0x7bec1bca,
+    0x596bd79d, 0xc67df1d2, 0xfe264c46, 0x64a6ed70, 0xede53656, 0x337aa097, 0x56a0aac7, 0xddfb8178,
+    0x33b97df7, 0x90e32f08, 0x20aec4e6, 0x04517e9f, 0x4cb7d583, 0x3b485f40, 0x2289cfc3, 0x6e721b08,
+    0x6e1da3e4, 0x5a366fc8, 0x285867d0, 0x47075bf0, 0xe2bb9724, 0x5ff93bef, 0x42c34337, 0x35b3ed21,
+    0x40582bb8, 0x04e634dc, 0x77ed30f5, 0x38d00385, 0x01598deb, 0x8d5d52c4, 0x083908cb, 0xc9683a26,
+    0xf88f7a33, 0xc7bccb42, 0x39e56c0f, 0x7acab48e, 0x4b44711b, 0x3ecfac04, 0xa19d87e7, 0x70944923,
+    0xcc13f283, 0x5105de67, 0xca38a018, 0xba069152, 0x57d2c95e, 0x3d9276d8, 0x0ecfcb41, 0x85504299,
+    0x9a7a182a, 0xda4ccb1d, 0x7c7bb019, 0x8f59ea0f, 0x5fa2db33, 0x4c0bdf23, 0x37547dc6, 0x109bc977,
+    0x56d903ae, 0xfbca8b5b, 0x89c79f0b, 0x95d0ec64, 0xab96879c, 0x0b7eda49, 0x3d4d4a73, 0xe1bea743,
+    0x3e8ea671, 0x811d98e0, 0xe4f76532, 0x94bf32dc, 0x19f481c4, 0xb07d4c4f, 0x822330af, 0xe3ee42b8,
+    0x1f23a646, 0x1b8f74f9, 0xe89189a8, 0x6eb45c38, 0x7c0f9d17, 0x9dd2223c, 0x663189f9, 0x944a6fb2,
+    0x3b9a4546, 0x8f68f21a, 0x8d74839e, 0x38ae2621, 0x17e0b707, 0x2ce478d7, 0xf1ee9745, 0xad1b18d8,
+    0x888ffcb4, 0x3de006be, 0xf9453c30, 0x07b57cce, 0x82e74e70, 0x52c76007, 0xa462a77d, 0x5e020572,
+    0x6c676a34, 0xac024fef, 0xcadccd93, 0x55592ff5, 0x8de716f3, 0x11a2fc0d, 0x16df74ab, 0xe3fcb5ac,
+    0x2214e2a4, 0x898f2ea7, 0xf879a6bf, 0x61bbf913, 0x467aed88, 0x6bb87257, 0xfd26b78d, 0x51d66ae5,
+    0xf303b183, 0x9a7eba66, 0xdad10e4c, 0x9597a376, 0xf59e6660, 0xd32da766, 0x119df27c, 0xac328e7c,
+    0x3ff87933, 0x6fbce62e, 0x81573c71, 0x34715626, 0xd6f50262, 0xe4af2d4b, 0x6a1e975b, 0x737768e7,
+    0xc7b3eada, 0x02cb4e50, 0x93afcf6d, 0x068c6b5d, 0xd2b7f45b, 0x3771a739, 0x820a9e7b, 0x518920cf,
+    0xa9b1d6ec, 0xb977fa42, 0x2b506ef4, 0xd428e5cd, 0xab4a3cfb, 0x75cfcf58, 0x9391ff66, 0xfc8e4cd8,
+    0x544147fa, 0x5134f543, 0x942089f2, 0x8ec60d3a, 0xa7b0061b, 0x432f65ce, 0xcaad64fa, 0xe0f0e30b,
+    0x9b503c09, 0x42e9723f, 0x93eb16c9, 0xf31e70b0, 0x009e9a58, 0xd9b81564, 0xaa036749, 0xd1375099,
+    0x02f836fa, 0xaefe0697, 0x7ad48360, 0xfc9889b1, 0x8c081f43, 0x5ce30eb4, 0xfddc66c3, 0x26872ec0,
+    0xc79021c7, 0x174c9a6c, 0x7b514a47, 0x355b1d3a, 0x1bd5acfe, 0x4679f120, 0xf792b172, 0xd427ba54,
+    0xa053b3e7, 0x7ac38dd2, 0xb1a65518, 0xf0ebf9e8, 0xe005be0e, 0x55069878, 0xb4b64a4d, 0xa6916324,
+    0x6bc594c7, 0x29feaa78, 0x8568151b, 0xb3aaf22f, 0x1d08b855, 0x6ad39e80, 0x4c1ecd81, 0x20420d9d,
+    0x1ec6a0b8, 0x76b6a283, 0xe66d5d5a, 0xf11c5c64, 0x68df9319, 0x5689ddcb, 0xb435fb10, 0xc2da9633,
+    0x3837240b, 0xa5713f02, 0x3adc7ab7, 0x9828a453, 0x49a4c8dd, 0x8ef274c0, 0xc387664f, 0x03eee367,
+    0x2245b0b8, 0x908adb8d, 0x4005449c, 0xfd070e27, 0x3438092c, 0x2a7cb52c, 0x8e13e3f2, 0x2d03e623,
+    0xd3c1563f, 0xf91900ee, 0x8d1adbb5, 0x522bedff, 0xfbaec728, 0x74fae938, 0x1abc0df5, 0x3642a0e9,
+    0x511cbbd4, 0x2a8bb808, 0xe6546589, 0xc34ba139, 0xeac38d47, 0xdeab541c, 0x98d436d6, 0xe1cddc14,
+    0x69475de7, 0x4e0ac398, 0x4f10d0b4, 0x13b5629d, 0xd6205097, 0x93359982, 0x3feac30d, 0x9ccaff6e,
+    0x041e8d27, 0x4cfdb1fa, 0x3d526a8c, 0x5c7e5bfa, 0x19a08b2f, 0xa236d717, 0x86bc2c8c, 0xebbb2d21,
+    0x635f1ace, 0xad9bf0d1, 0x36b7e7bc, 0xd89529f9, 0x399f5141, 0xfba8ccc3, 0xf81dc4ac, 0xeb190591,
+    0x66cda17a, 0x303194ce, 0xbd8c31fe, 0xbadd68e9, 0xba2e92c5, 0x6459c7b2, 0x8c88e5da, 0x6e2c9a51,
+    0x68169231, 0x624cb6bd, 0x201d878b, 0x51013b22, 0xef7dc40c, 0x3536f117, 0xc4233af3, 0x023d3967,
+    0x94850e82, 0x61489b0c, 0xa55b626d, 0x44c271b4, 0xc9006051, 0x5c1c0d08, 0xa91d35ca, 0xa7618c84,
+    0xc20f847b, 0xd5b2e7b5, 0x7c53659a, 0x98421d0e, 0x544de2d6, 0xc4626c8a, 0xe74b3f35, 0x72b959e2,
+    0x80842810, 0x35318988, 0xa52cd02d, 0x0610f01e, 0x81bc71e3, 0xcaa96039, 0x66791bb9, 0x6c67c398,
+    0x4635ec92, 0xea4642a7, 0xf265bf7f, 0x13b9b985, 0xa2954376, 0x949528d4, 0x76a4b2b2, 0xbb2ce6fa,
+    0x8cb36a3c, 0xb216ab52, 0xf597d63f, 0x65eed3c0, 0xbe818fb3, 0xb8638030, 0xd6141269, 0x3cc759a2,
+    0x5454920b, 0x6e331105, 0x3321a147, 0x9ba7bec2, 0x6cd65938, 0x1db440bd, 0xc4e795f5, 0x592ab391,
+    0x0237102c, 0x59f23dd1, 0xfa3d69da, 0xf6e4458c, 0xe1e40d03, 0x41b96f48, 0xa497769c, 0x22731468,
+    0x3988150d, 0x32771efe, 0xf11abc72, 0x7533fb63, 0x6f57f17d, 0xdc58c52b, 0xa828cb80, 0xae57b9bf,
+    0x3f6b212a, 0xd42c98b6, 0xe3e6cb1b, 0xf022d1df, 0x545033fa, 0x5380bd60, 0x69b3d99d, 0xd63bf12e,
+    0xd7a40954, 0x55153274, 0x641a3ef1, 0x059f2586, 0x4928d99b, 0x4846d863, 0x36e1876b, 0xad16a0c0,
+    0x63fef0ae, 0x37c0ae65, 0xb5087e61, 0xada78882, 0x4beab4c6, 0x8e72ab08, 0x661e6ddb, 0x27d96912,
+    0xe289e330, 0x5858ec7f, 0xc8fb5b09, 0x44bd449d, 0x2f57461a, 0x1d673111, 0xdf7ef3ae, 0xe4956489,
+    0xf726970d, 0x21d72422, 0x37581b35, 0xdc3b4c5e, 0xdfa56cf6, 0x9179852f, 0x11774519, 0xc6aa8e75,
+    0x9c9120d3, 0x83c0c395, 0xa889bda0, 0x758f06c8, 0xf6c7729d, 0x7ff881ed, 0xd4576dc8, 0x5db6da3d,
+    0x614e3a7d, 0xb0d050b9, 0xa700c889, 0x58162b85, 0x1a7155f2, 0xf4534f25, 0x050986af, 0x2653bb4d,
+    0xb8cd002e, 0xdc6f8a72, 0x3c497879, 0xd35d99c1, 0xcffb84ee, 0x349669e2, 0xfca449b7, 0x0ecba9fa,
+    0x69213f2f, 0xade04cd7, 0x153f99f8, 0xd926699a, 0x5cf5cb18, 0xbb7c2ccf, 0xceef3584, 0x542fd6b0,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000524288 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x000d49a6,
+    0x00000000,
+    0xb75b3786, 0xbaad6104, 0xe01ab22e, 0xc1c080a6, 0xf6628397, 0x62ea5dc8, 0xd391e3b3, 0x292701d8,
+    0x2ec9e02d, 0x62d75239, 0xa5943f6f, 0x1d015a17, 0x9143c3d1, 0xaf4579ca, 0xc8822f58, 0xeefba841,
+    0x5fb0ea88, 0x970c18dc, 0x5598677b, 0x58137885, 0x3ed3c029, 0xd149451f, 0xb6eaa580, 0x5e21e8a6,
+    0x21f8c986, 0xba1c9d91, 0x6ff38783, 0xe24f724c, 0xb3504dbc, 0x3f80e5b7, 0x6e96eae5, 0x305a7377,
+    0xebfd3a84, 0x18515672, 0x14708b76, 0xc593960a, 0xbb68c9b7, 0xcacfe3bf, 0xd191f8c0, 0x5c713661,
+    0xa6cee310, 0xa1890f13, 0x66d023b9, 0x31b5bb23, 0x4efe7eda, 0x2b9613fa, 0x442a479d, 0xeae5001b,
+    0xb466acd1, 0x0ee0f396, 0x2e229d58, 0x60363a13, 0x2b596fa3, 0x9bf01b10, 0xdde3c842, 0x3e61caaf,
+    0xc438bb56, 0x0b5107a2, 0xe8fac292, 0x57d938a1, 0x1714b725, 0x5c06ac53, 0xd3c85f8d, 0xa7ebe43d,
+    0x824a820c, 0x30ebf264, 0x4bf7151f, 0xb3e4f7bb, 0x2169fdfa, 0x0e2122c1, 0x49dcc6e2, 0xee3706ce,
+    0x004f4a6d, 0xd25356ce, 0x2a16a86d, 0x398a052c, 0xd131d00f, 0x4dcf0807, 0x12e5cb7a, 0x56ae3bb2,
+    0x5fd6544b, 0x3baa5bae, 0x1e566f67, 0x1add9fb0, 0x8b35d2fd, 0x82be3411, 0x7e94f15b, 0x8ea11cb7,
+    0xfe8c5fcb, 0x4e4baed3, 0xd535a799, 0x742b7e24, 0x0653041f, 0x0e5b0764, 0x8097e59d, 0x8bcea9ec,
+    0xd58932f0, 0x7ddb2c75, 0xe78aff82, 0x48e8d0da, 0x85efe891, 0xc1cfe7fb, 0x4ff5cdb2, 0xde1fb086,
+    0x3df35cf0, 0xa9413a59, 0x554e33b8, 0x0b949c7d, 0xf0d93fae, 0xb5c15004, 0xef60fd48, 0x4b17a737,
+    0x774d11de, 0x34a31b67, 0x33b5839c, 0x623bdce1, 0x48c97f1a, 0x500f3289, 0x880cc448, 0x7f1283f4,
+    0xc1203d73, 0x88408502, 0x232afd55, 0x88781ccc, 0xc9d35c22, 0x33c618e1, 0xfccb67a5, 0xcd8d533e,
+    0x13bdb51e, 0x0576cad6, 0xc6da55d9, 0x5a2c89fc, 0xfc7ead8f, 0xd4a1313c, 0xc14f7bde, 0x9e8d9402,
+    0xfea31fec, 0xc55a7573, 0x543ab192, 0x76df104c, 0x2d379c98, 0xa4814a45, 0x83d69746, 0xe022e55c,
+    0xa3ada6c5, 0x38a43dca, 0x2c6459aa, 0xf993f684, 0x627d5e7f, 0x761bc535, 0xb804dd00, 0x6e82ca52,
+    0x29f9eb68, 0xf8591ab4, 0x7b148101, 0x6e8cb932, 0xdff7d51d, 0x5866e1eb, 0xeba9cc5b, 0x3fceb40d,
+    0x400053c5, 0x983df3cc, 0xc2bb44d7, 0xd7364c12, 0x31dc50af, 0x5014ba43, 0xe9a7e857, 0xa2d58e68,
+    0x65cd3d92, 0x2aec6aff, 0x2c236cf2, 0x8f4380f4, 0xd4d1929a, 0x0bfbbb7e, 0xce9a2564, 0xbba446e2,
+    0xf67282e8, 0x5dfbdc36, 0xb17c64c7, 0x6221d724, 0x04a3524e, 0x1dc24c30, 0x70cff7d2, 0x24f401b6,
+    0x0d58f4a7, 0x6556db1a, 0xc3db1afb, 0x3f73264f, 0xc519054b, 0xed967bb8, 0x73279aad, 0x3f858a85,
+    0x9b25dea4, 0x3c3bda4a, 0x09722991, 0x487b4f94, 0x8f958919, 0xc56750e1, 0xdfbcaaf4, 0x518f02c1,
+    0xb62d380b, 0xf59691ee, 0xaee67343, 0x50403ef9, 0x66885d2b, 0x34995fa3, 0x50c75361, 0x5ff997fe,
+    0x9b241283, 0xa5268a8b, 0x51e783e1, 0x7502b3d0, 0x879fefb2, 0x458da713, 0xf050f519, 0x37f62ebd,
+    0x0584635f, 0x682dbb31, 0x6d60b7e7, 0x2e85023e, 0x6b556cd0, 0xde4b09f3, 0x3d2ff617, 0x9078084f,
+    0xdeab3fa5, 0x78eea8a7, 0x99252987, 0xf68fe496, 0xc9264028, 0xc2e18e3e, 0x5df25a1d, 0x8674ebef,
+    0xd18110cb, 0x69910023, 0x313b644c, 0x2a1413b7, 0x2d252a91, 0xbc6cc007, 0xc739769b, 0xd411e250,
+    0xf520b22b, 0x7e3ff7b2, 0x76bbc1ca, 0xf5a0b2c6, 0x9c9c4b11, 0x179ba697, 0x0d5f39a0, 0x85ab2451,
+    0xbe5d19fe, 0xa0e7dae3, 0x4ba71d53, 0x5b52982e, 0xb0463ad9, 0xa3a1c2ca, 0x45152458, 0x9a6c7f82,
+    0x6199202e, 0x6a7a1e21, 0x06cac0c1, 0x9b47d797, 0x39a5a281, 0xc12fcb97, 0x7d418072, 0x2d904702,
+    0xfc70e7ad, 0xba0f2ab7, 0x7bcc7ad4, 0xf59ccfce, 0x4bc9d631, 0xb39f359b, 0x4dfd6a08, 0xce2e7227,
+    0x15cfad4b, 0x4b057f69, 0x1337d842, 0xb22546bc, 0x30bb6f03, 0x22f3e5b1, 0x24d527cc, 0xc060b923,
+    0x51dfc127, 0x5c924ed0, 0xac5cea4f, 0xcfb8c2c5, 0xf75acb15, 0xbf3f3cd0, 0x4ec96e35, 0x00403dc8,
+    0xb62f0424, 0x9fc7fcb6, 0xbea31571, 0xbc732c4d, 0xe58b098c, 0x4095860d, 0xb42e6d10, 0x6ee466da,
+    0x2939edfe, 0x90ca65c7, 0xe3272837, 0xe888bfa1, 0xc0222d7d, 0xc30ae065, 0xb7b6b100, 0xbc3ef01b,
+    0xa559f8ed, 0x55d4862a, 0xb3837758, 0x06074418, 0xcfdda151, 0xa5212778, 0x0f655436, 0xf2cd8739,
+    0x3289d2a3, 0x6a91eb3c, 0x6d393c05, 0x5b32602e, 0x3a5dec83, 0x00956c91, 0xebcea0a6, 0x39eeaf19,
+    0xccd08e16, 0x2ff70940, 0x2188eeba, 0x4f0484db, 0xfdebe90d, 0x5009e558, 0x11c24a13, 0x82e28004,
+    0x2251b9e3, 0x10efa93d, 0x821edc92, 0x574dcb96, 0x1c8ed8c0, 0x04b46697, 0x1365fe08, 0x9a00900d,
+    0xc93f6da9, 0xf71d3ae4, 0x7eb5149d, 0x235558a9, 0xa6efc46a, 0xa424f9aa, 0xdc4a43a6, 0x6a810aef,
+    0xf187fc73, 0xbcf53c2f, 0xc7c83cb2, 0x3d174988, 0xca963cf1, 0xee22660f, 0xf8d20000, 0xf97c1aad,
+    0xf09bd07a, 0x3d32826a, 0x9c223607, 0xcded4ee2, 0xddd5f1ae, 0x41a70b1a, 0x5d6e1fa8, 0x068a5362,
+    0xbf2554c0, 0x1435335a, 0x3ab8c027, 0xfa8081ca, 0xeadbc699, 0x6518859c, 0x9d075819, 0x75bfc810,
+    0xba72bdfa, 0x70e1f09f, 0x440825d3, 0x530bab8d, 0xb2451a35, 0xa6b1f8a7, 0x9a8e5ddc, 0xf7fc7296,
+    0xa079e066, 0xcd4582eb, 0xefcdbd01, 0xe38869da, 0x99c31817, 0x06a41e89, 0x4cdebf6c, 0xae40f983,
+    0x5575ec4b, 0x8327e9bf, 0x99e24f1c, 0x06b6372e, 0xc289ce21, 0x76dd4e3a, 0xfa4832a4, 0xfc61a036,
+    0x52fae13c, 0x621b197c, 0x948ee9e6, 0xb36f1698, 0x571a2bb1, 0x1103b526, 0xec38bc02, 0xf4bc9964,
+    0x85713fc0, 0x5a947055, 0xc6c8044f, 0x08d541c4, 0x9cda3667, 0x37a356fe, 0xd8db984f, 0x607dc9e9,
+    0xb13363b0, 0x12daddfa, 0x7ce666c9, 0x176e3eb8, 0x379b9b85, 0x6ed8a75f, 0xfdee8382, 0x1833f5bb,
+    0x5048c7ae, 0x826d96b3, 0xf0885862, 0x486cb7a5, 0x313b0c03, 0xe91316ba, 0xb9c3de6c, 0xc5f5c36d,
+    0xbc1c2681, 0x543bf0b2, 0x45eb65d9, 0x18262a5b, 0xc5e334e5, 0xf61a115e, 0x5c6968cb, 0x27bb01f1,
+    0x02175b01, 0xa9c0ab6a, 0xf4b53b98, 0x57c32430, 0x0bd8e653, 0x0367c017, 0x1f63dd53, 0x3792b0be,
+    0xedb0fe15, 0xca5b0f21, 0x45db10a2, 0x0d5039eb, 0xf302702b, 0x5b3c51af, 0x26730bde, 0x3515bb62,
+    0x28a41d17, 0xace4ad2d, 0x5e5a2df2, 0xadd7f7a6, 0x9fa2c5c0, 0xf8531570, 0x7b793fc5, 0x3fb8fcf9,
+    0x8eba11ec, 0xa70083e9, 0xffa55bb8, 0x324acb38, 0xced624ba, 0xc3ec9b0b, 0x4ee3e003, 0x3bdfc5a1,
+    0x907758d4, 0x1ccdf899, 0xd9eebb8a, 0xc2f42055, 0x85bde029, 0x71c6fd52, 0x89e009ea, 0x39d2faca,
+    0xe6fa8b2e, 0xddcae31c, 0x6213c852, 0x0c9fb993, 0xa36e77b0, 0xb5a5ebe6, 0xd5196709, 0x3f1581f8,
+    0xa915b937, 0x09f9e7e7, 0xe9c72761, 0xd020a236, 0x0fca4eac, 0x5f20dcf4, 0x7e9c44d7, 0x30820979,
+    0x2dc42c24, 0x269e3c9d, 0x0c6a4f95, 0xffbff87f, 0x59e83037, 0x25cba46f, 0xdd1e34cf, 0xe213516c,
+    0x153b4aa6, 0xca962717, 0x20d19f84, 0x5ba2492c, 0x159c2f43, 0xdd77cef6, 0xc13c504f, 0x53516882,
+    0xc506712c, 0x409cb73d, 0x658a0e92, 0x4b3436aa, 0xe13ccfff, 0xcc8ef44c, 0x27c168ab, 0x3746c0be,
+    0xe2f9a4b2, 0xf00123c1, 0xd9611cee, 0xe0eb248c, 0xec67c815, 0x4b8fd795, 0x1731c591, 0x1a3b66c3,
+    0xbc929242, 0x1d3bc600, 0x31b1c405, 0xd5c9b568, 0xdb9c1626, 0x99e102bd, 0xf26a4901, 0x3b62e4de,
+    0xe1ae99f4, 0x04c5d2a7, 0x5ac1d5a7, 0x71780a74, 0x7fa62b7c, 0x768fb6e5, 0xa40e29f7, 0x1c077784,
+    0x8d2549dd, 0x6bee815f, 0xcfa43fc3, 0x35900962, 0xb53e17ea, 0x063404c1, 0xbaa1faf0, 0x24ffb726,
+    0xa17fd0a4, 0x4daa9f34, 0x66c172dc, 0x4f08dcbc, 0xfcd0cd27, 0x80d88016, 0x73159eb7, 0xbd6b03ce,
+    0xf7177c5f, 0xd4210eeb, 0xd0bb6c47, 0xd3a26e8a, 0x42d1c721, 0x56f1829b, 0xaa1f6323, 0x56d56e22,
+    0x20562898, 0x469f723c, 0xc88b84f5, 0xc34af471, 0xb7c17cd3, 0xddf3ff5e, 0x838e645a, 0x98e5ad9e,
+    0xeab204fa, 0x24637ee0, 0x2d1ada20, 0x5af7e0d9, 0xa90c90d3, 0x2840adb5, 0xdc9f56da, 0x89a62758,
+    0x8d27c602, 0x94dc5368, 0xc8cf7d6e, 0x02f60bd0, 0xa679a663, 0xc57ac83a, 0x6f855e13, 0x64c027d4,
+    0x7bd9e0f0, 0xb0e168d8, 0xd267f142, 0x37437fc1, 0x476729df, 0x47424ed3, 0x01fa1cd3, 0x5986e68f,
+    0x94f0163a, 0xe425efe9, 0x7844e143, 0x1caab7a5, 0xfc51ba8a, 0x93d29d9e, 0x817273ec, 0x8e861042,
+    0x91440156, 0x9d4a1f68, 0xb99e732e, 0x60578c46, 0x9c37bd39, 0x1751527c, 0x347e4fca, 0x7e0375c5,
+    0x26455185, 0x38e19ca3, 0x5c2a2b91, 0xec595052, 0x6c146691, 0x4898a826, 0x551aef95, 0x9f1877a9,
+    0xdc67eec3, 0x606cba33, 0x394bf5a5, 0xeada1643, 0xfb6f4bb1, 0xcdfb329b, 0xb8ce0a4d, 0xe830977f,
+    0x57126beb, 0x487f2420, 0x5d89e9b5, 0x052649cd, 0x48ff3769, 0xb1e0641f, 0x71eaaf1e, 0x0ca110d9,
+    0xc75993af, 0x70aea438, 0x889adf0b, 0xc392d902, 0x1cbee04e, 0x74b5d8f9, 0xba3a71d1, 0xd90a5e16,
+    0xd92ec752, 0x357ff4c7, 0x930d152e, 0x1da54581, 0x611b8568, 0x450b3198, 0x19c10e71, 0x9218ed91,
+    0x4044b1c1, 0xeb8324fd, 0xd7e4c755, 0x2ae06c28, 0x3a3d5645, 0x2cb0f636, 0xeff0d82c, 0xa6262204,
+    0xeee319f5, 0x1d79474f, 0x3c189537, 0x6b33009c, 0x451fbaad, 0xc1f35698, 0x6b413583, 0x400e8207,
+    0x13c7b48b, 0x27a4d098, 0xd7c370cf, 0xfaa4bc83, 0x59b7b694, 0xfb7de4aa, 0xd4b0f5df, 0x805e3fec,
+    0xeae19a5d, 0x6223d80e, 0x377b1c90, 0x2fa69b5f, 0xb2de506d, 0x48488508, 0x7d2753b0, 0x567f2f3c,
+    0x067bc3ae, 0x64eeeaa9, 0x4dcf8f4d, 0xc74a55dd, 0xb21ddb1a, 0xaaf53ee9, 0xf37aa345, 0x4004d642,
+    0xf2d0f836, 0x1e5c9336, 0xd60ef5b5, 0x3ac7a357, 0x43aedf80, 0x66bae23a, 0xf6610f77, 0x939584a2,
+    0x6d244618, 0x87327f9b, 0xc21d88f5, 0xbae14487, 0x30475e1f, 0xa6c3dc59, 0xfa6462a5, 0xae318526,
+    0xea1de503, 0xd3d2eefd, 0x5444de2d, 0x3641aa2e, 0x22852362, 0xadba19a8, 0xbbfc8cbb, 0xc9486c57,
+    0xc71ec5f5, 0xa1da805f, 0x6655dddc, 0x9a6fe515, 0x1f31f106, 0x7b1dba7c, 0x0f2974a0, 0x8438987a,
+    0xc9ffc080, 0x6a63d1e1, 0xffa0d648, 0x4c0da0c4, 0xc2955246, 0x35ad36e0, 0x275af716, 0x56822b63,
+    0xceac2b90, 0x5bf7c44e, 0xd9939fca, 0x859130b1, 0x9ea35c72, 0x56125c4e, 0xbd0b9285, 0x3c4e9155,
+    0x8244eae4, 0xbee228a5, 0xa3e427d2, 0xe1128b52, 0x74364c77, 0x03663d55, 0x17292355, 0xffcacaa2,
+    0x58cbef99, 0x9334c30c, 0x4ae0ceba, 0xdea9405b, 0x3172022b, 0xeaa15fbd, 0x7956cd8e, 0x2827257e,
+    0x4e1f4913, 0xc710cfb5, 0x20e2a26a, 0xa3b9781a, 0xfbf037bc, 0x55835bfd, 0x53a97c45, 0xa92ad922,
+    0xbbd55d9b, 0xac76c66c, 0xf8b47498, 0xbafe633f, 0x91d497ec, 0x2b5e503f, 0x7e4edb1e, 0x3da91014,
+    0x560122f7, 0x4ab1d11e, 0xd611a883, 0x72434b3d, 0x4268d6b5, 0xe66b93b7, 0xcf1866dd, 0x70bae0f2,
+    0xa1d01e51, 0x34e4b955, 0x1397e989, 0x0b35dcf5, 0x65b0aecb, 0x7295c3e8, 0x5c8322ef, 0x4dee3765,
+    0x14cc1c1c, 0x31391b19, 0x6f959584, 0x7ee5dc3b, 0xdbaa425a, 0x7f42524d, 0x801d65b0, 0xfd02f68a,
+    0xe6c964b6, 0xc2a050ee, 0x055cc82d, 0xc71b9392, 0x2856cb61, 0x9443ffe9, 0x5a2d391d, 0x108815fa,
+    0x6cd30eef, 0xfdb148f3, 0x7ee3833b, 0x3eaec08c, 0xad393a35, 0x6fb81944, 0xfe0f6899, 0x0dff1b01,
+    0xe9b1c23b, 0x4bc00ee8, 0x1411a1dd, 0x2b3f9655, 0xc3201750, 0x46f020e4, 0xc5c28822, 0x90f1037d,
+    0x90105867, 0x507a6a16, 0x17d3400b, 0x2ca655cb, 0x94ccaa88, 0x4bc644e1, 0x4abca653, 0xd3647b20,
+    0xf45fecec, 0xea069f8a, 0xae787af4, 0xd02357b4, 0x8b072695, 0xaa43e1d2, 0xfea59908, 0x8a601289,
+    0xa7ab00b1, 0x42ed71b9, 0x1d19c8c5, 0x7a9db5e7, 0x9970398e, 0xd724d5c2, 0x5fc90cb5, 0x1b875c2c,
+    0x0906d828, 0x50b6bd9e, 0xfc4b1c2e, 0xcd953418, 0x957c818d, 0x5825c093, 0xa57a2c08, 0xe0c40c32,
+    0xa2be63ad, 0x608eb89a, 0x8215d256, 0x6eab78d6, 0xd26847ac, 0xebd090ed, 0x596a16cd, 0x01e0ebf0,
+    0x6aa30820, 0xd3f1a290, 0x5e8e4c53, 0xc064fce1, 0xac5e4a08, 0x29fba39b, 0xe1e42e37, 0xc9976974,
+    0xabaa2f97, 0x48dd1a8e, 0x2182481d, 0x00679a13, 0x12438e9d, 0x7f38d870, 0xd377d3f3, 0x1ae6d2f6,
+    0xb8d8bdb5, 0x50588f3c, 0x8ee5d0d3, 0xfd35f746, 0x3ea86c27, 0x68d201d6, 0x938c9cdf, 0xf9ca14c1,
+    0x6393ba1a, 0x8cd65833, 0xe14c2726, 0x85dee4e7, 0xf04fc3aa, 0x212de0ba, 0xb2c7655f, 0x34661882,
+    0xfdbbb3f9, 0xded5782c, 0x66e62dce, 0x8c29c694, 0xa964f542, 0xaaff9ae1, 0xe3bca4b1, 0x8a29bca3,
+    0x9f1c2050, 0x1ddefbe1, 0xafce4bfa, 0x537146d6, 0x0a420c9a, 0x63398d41, 0xca9ae7ef, 0x3e50c266,
+    0xf5ca9120, 0xf7fe3e2f, 0xcc6672ac, 0x6a450388, 0x2db77826, 0xacc32e40, 0x71e6eeb3, 0xe67de833,
+    0x7a9a429d, 0x6bd79a95, 0x8ea8339a, 0x61f71fe1, 0x298fa895, 0xd2959184, 0x993921b5, 0xa0236b11,
+    0x136c35d6, 0x2cab45b3, 0x9894a4b2, 0x727011da, 0x5a007ea3, 0x2a293fe3, 0x33a4c1a9, 0x171d1a61,
+    0xc5e1c763, 0x53156e47, 0xab09a923, 0xa7fe468d, 0x761b06fd, 0x0025a371, 0x5678db64, 0x5df83b96,
+    0xf780cdcf, 0xa441fe33, 0xa6d1ef62, 0xd28fee30, 0x5423ec31, 0x13f16782, 0xb1ef2650, 0x09334e44,
+    0xdb30ce09, 0x3f990111, 0x78236117, 0xb48152ee, 0xd0b3378f, 0x97ae8a7c, 0x35fd9a5d, 0x63762109,
+    0xec74a5d1, 0xfc1f58bb, 0x8dbcbd22, 0x09d75815, 0xb909ae1c, 0x05ec32f1, 0xc9675a58, 0xab98b576,
+    0xb6b75bf8, 0x1f33feb3, 0x5efa9bd2, 0x81d7bbb3, 0xe77bad6b, 0x5384a272, 0x78484b05, 0x3f57b706,
+    0xe4856932, 0x5776e462, 0x50239827, 0xfd46be31, 0x04a46b2a, 0x1b3baeab, 0xc8884fc8, 0x7d774237,
+    0x71c74061, 0x2f99265a, 0x312251b4, 0x509b7006, 0x0a98fe79, 0xf2d3ad9d, 0x277d58af, 0x37f5b62f,
+    0xdb6b5b07, 0x5e724f56, 0xcbd0bc47, 0xf19fd333, 0xf94ba0e1, 0xb478f5e8, 0x45d28c26, 0xfc628d8e,
+    0x70e3aafb, 0x0e4c118f, 0x9bd5a42e, 0x52d23502, 0xb284c474, 0xcc5faf60, 0x020d5d69, 0xc2de52a3,
+    0xd7f8c329, 0x746550f6, 0x2026bbb0, 0xd5fe93af, 0x52e8a0d6, 0x93b6a833, 0x197170d0, 0x10bafc27,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000262144 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0006a4d2,
+    0x00000000,
+    0xd8a7940b, 0xfe7769bd, 0x084da5a2, 0x1ee8580d, 0x1cd54215, 0xcfa3bc72, 0x741442da, 0x159de9aa,
+    0xbd165810, 0xb2181f41, 0x4f411a90, 0x4733b27c, 0x32d368da, 0x6306f6a1, 0x94105009, 0x21eeea49,
+    0xe369ffac, 0xc898cdbb, 0xf334f951, 0x24a39f9f, 0x1e343d53, 0xd4bb4b88, 0xc2d87772, 0x85938c4a,
+    0xfca5bc4c, 0xbcec51dc, 0xebe2917d, 0xf5512888, 0x20ad6738, 0xfc021ee4, 0xf84e2f91, 0x669201d6,
+    0xe62202de, 0x8502df2f, 0x0b2b3a80, 0xc309bb2b, 0x050c347f, 0xa1228078, 0xf0c6471a, 0xb68b4879,
+    0xc43d02b5, 0xf647308d, 0x3e8b8508, 0x94f1a00c, 0xa0723c6c, 0x24854463, 0x1edd7f2f, 0x66928a94,
+    0x66b45367, 0x2a82375b, 0xad518ee4, 0xe67d3f80, 0x36bc87d9, 0x9b50ff2e, 0xb3ec451a, 0x0be91a15,
+    0xb6009062, 0xe12c7a95, 0xe22b9e00, 0x8a6fc05f, 0x16ca7e28, 0x386c6a89, 0x0f963381, 0x47d258a0,
+    0x4548ed44, 0x8b67f13c, 0x8bcdd31b, 0x7247597a, 0x57aef734, 0x6d898fd6, 0x6d83f270, 0x5a4cdb0a,
+    0x242ae52f, 0xf37035bb, 0xd2be9b60, 0xd452ac50, 0xcfdd86c5, 0xbf2f110e, 0x9e886c10, 0x0c5b7ce0,
+    0x4e5bea8c, 0x8571be28, 0x9bdab267, 0xdb13ad43, 0x93dc47d3, 0xe753a231, 0x1097554e, 0xff305ee9,
+    0x584faf1b, 0x1f0cc528, 0x1fd04a08, 0x18864c7e, 0x482ba3ac, 0x97706a63, 0x741df193, 0x422f8f49,
+    0x7aeaef5c, 0xfac6965a, 0x124ee0c7, 0x2f103aeb, 0x9a7ea235, 0x15d25fca, 0xdedd511e, 0xc160271f,
+    0x07205ee5, 0x750f283d, 0x9d152695, 0x004abcca, 0xaea5e274, 0x90fba8ee, 0x68054063, 0xa421f269,
+    0x55700e1b, 0xf28564c0, 0x434645bf, 0x3b4ebc4d, 0x1afb95d7, 0x836e062a, 0xe422677f, 0xaa762d13,
+    0xd7f149b7, 0xe4ab84c2, 0xa206cc32, 0xe2f91133, 0x4557a6a5, 0x50065a5d, 0xd0f11045, 0x3810db16,
+    0x4cc144a3, 0x17c1d548, 0xd01c259d, 0xe673ef52, 0x7728c1f4, 0x125d9363, 0x7dc37ff7, 0x729b2dec,
+    0x32398523, 0xa593e50c, 0xe72f5c24, 0x92c597b1, 0xd42a8a1c, 0x27bd476c, 0xe8edf93b, 0x887ee986,
+    0xefec530d, 0x0239e39c, 0x5695c21d, 0x5663e0f6, 0xfd1d527f, 0xb6917059, 0x161e92fb, 0x72d5f000,
+    0x9eeefe78, 0x9403bfe1, 0x01baf666, 0x60c77301, 0xce33873e, 0x5fe0fc85, 0xc0563ad0, 0xc127e788,
+    0x6ab2366a, 0x3f030a90, 0x4df704e4, 0xec8db05c, 0x6f0546cf, 0xedaa5114, 0x7be6ed56, 0xff7d8ecf,
+    0x1a2ae92e, 0x209c0286, 0x09ba6d56, 0x7b5cd8f3, 0x32041b97, 0xb6ec763a, 0xa41ebdf6, 0xec59d826,
+    0xe8ee14fe, 0x08de03e0, 0xd3e9f799, 0x6207f787, 0x3fba761b, 0x0b6d2a7e, 0xce0b92a5, 0x2ccc04d2,
+    0x91b27330, 0xeabb8fad, 0x6fcef08a, 0x5c35ef58, 0x1e2d5191, 0x6debf295, 0x0e0fae71, 0xed2bd3d4,
+    0xf04c502b, 0xbf35be67, 0xf4e7c33c, 0x675f0a9f, 0x281b4e8d, 0x6dd79a62, 0x96ed4c03, 0xca506b9b,
+    0x637cbb32, 0xc194a57c, 0x12241ade, 0xa1e46a10, 0xc7a8e07e, 0x67744e22, 0xae315db2, 0x817de14b,
+    0x9f94fed1, 0x60743321, 0x891a9620, 0xf9758916, 0x9c850a2e, 0x8ecc19f3, 0x672db151, 0x2ca9239f,
+    0x3715427a, 0x0d7042d9, 0x1cf75d97, 0x9ea472e9, 0x85d27d92, 0x301c3d59, 0xac37d5e5, 0x4c157949,
+    0x7d2426da, 0x38ac1a76, 0x3dd3a9e1, 0xa9d7ad10, 0x8b8cb2da, 0xb8767841, 0x111cd0b4, 0x6c69eb32,
+    0x348cfe08, 0xb2840e17, 0x0dcfb75b, 0xbf36691f, 0xdcba667a, 0xa4dff1a5, 0x86d6fed7, 0xd2ea78fc,
+    0x01c8be83, 0x35a1671f, 0x532df795, 0xd4b351a6, 0xa0a0d381, 0xad1bfab1, 0x086ec050, 0x216e226f,
+    0x4580d33e, 0x81f0a9ef, 0xc85713fb, 0x3fd9d68c, 0x87fe9a47, 0x69cc042f, 0x28dd6ed0, 0x3260de42,
+    0xa9e85b4f, 0x7b276405, 0x19f96eea, 0xc9ba3147, 0x56ee42d4, 0xee1d0da4, 0x2397d9c3, 0x7f675139,
+    0x62926113, 0xe4aced04, 0x00108f58, 0x4bcaff31, 0x74c33104, 0x9dae3338, 0x911353c0, 0x359b1f22,
+    0x057a4546, 0xf9110df7, 0x2c37eada, 0xdc949e11, 0x2e8d5eab, 0x25261d86, 0x257b1b67, 0x77ebd2d0,
+    0xf894f2d7, 0xd974b356, 0x6375de1b, 0x977f059c, 0xdb25e520, 0x64299fe0, 0x72873e77, 0x0f37e9fd,
+    0x1fe9fff9, 0x70524e77, 0x5c120333, 0xe5b0a999, 0x5990b8bb, 0x560f46f6, 0x9863b3d1, 0x122047b8,
+    0xe0ea9fb2, 0x1604300b, 0xf9ff31c7, 0x651c6f8a, 0xd1c97dda, 0x814f163f, 0x4614fc23, 0xaef47e66,
+    0x623c95f6, 0xca498d10, 0x3ab93eeb, 0x27e32b6a, 0xd1234fa0, 0x0a8d8f64, 0x2a9ce58c, 0x0450216a,
+    0x3fd48f65, 0xd3ad7d39, 0xe54a7a7e, 0x185faac8, 0xb8c65160, 0x5887eb8c, 0x2d7b02d5, 0x20e02637,
+    0x224efe93, 0xa1455b6b, 0x71df3728, 0x8c7b595d, 0x0d25ede9, 0x10500af0, 0x12d2a4d8, 0x66a10d6c,
+    0xc410dab9, 0xc896c4aa, 0x7036b5b7, 0x4556a665, 0xd033be7c, 0xaaab2abc, 0xda8adde8, 0x718120ff,
+    0xe69a2c89, 0xcd1ba94f, 0x1f1e5e48, 0xb38b00a4, 0xa0894f4c, 0xf3b05310, 0x751c170f, 0x4d67ba94,
+    0xeddab782, 0x816813df, 0xcce960e0, 0x50e29af9, 0x2d274b1b, 0xc710e21e, 0x4cbcd4d2, 0x79b14e1e,
+    0xb54f9d03, 0x11517731, 0x4ac7b0f7, 0xafb03505, 0x4a797a66, 0x3a3a116e, 0xb2105525, 0x711f5463,
+    0x3c0fae2d, 0x3c32cebd, 0x5dcc1cdd, 0x59d7e7e4, 0x615a1634, 0x1e8831ad, 0xe7a794d4, 0x2f4d83f1,
+    0x24d2d48e, 0x2d11565a, 0x9599f271, 0xc38b2158, 0xc3debafd, 0x8335f8f9, 0x9cfa137f, 0x14335273,
+    0x09c4e0cd, 0x75a48671, 0x64221af7, 0x07d1a77f, 0x69406488, 0x8715b9e9, 0x1d1cf5b3, 0x41ecb00e,
+    0x1d3587dc, 0x63c60303, 0x3ac59317, 0xec19790d, 0xc3c28842, 0xa667e7eb, 0xc59b6443, 0xc922e40a,
+    0xb73136a1, 0xb78d1064, 0x5a640072, 0x6c20343e, 0x09df05ea, 0x1d86e513, 0xbb4f7f95, 0x897a56ad,
+    0xbdb63d7f, 0xc2712e8e, 0x608416b8, 0x75d1774a, 0xfce2e6b5, 0x2e67ba6a, 0x77f6f1e5, 0x76b2159c,
+    0x5a01495f, 0x8a3a9f98, 0x440e7703, 0x8c10d468, 0xe9d4f8d3, 0xdff71d1d, 0x0ee4a3be, 0x382ef4d6,
+    0x368dfac3, 0x36ed3c86, 0xaafd9871, 0x975e793f, 0x0d1240db, 0xbc7c91c6, 0x936cd7c9, 0xbd24e365,
+    0x84539f6a, 0x8a35fde0, 0xa165e46d, 0x028a4da2, 0x4439f84e, 0xed71f4f3, 0x126ba5f4, 0xbc500965,
+    0xb342ae4c, 0xe083f16d, 0x7a9911d9, 0x0d531312, 0x1b5dd2ed, 0x9d41bb40, 0x32f069e1, 0xec335a91,
+    0x3d6e96ce, 0x5615ad84, 0x4120d601, 0x74912633, 0x67891bd2, 0xec951d5d, 0x4fbf704a, 0x2978386b,
+    0x0e7b3db6, 0x14f018df, 0xeef6711c, 0x75456444, 0x242d0e48, 0xd239dc35, 0xaadfe500, 0x3b24abbc,
+    0x42084fef, 0x8ace7e5e, 0x1146eb78, 0x7ae6e486, 0x5f31dfa4, 0x559dfb46, 0x373a24b6, 0xd060045d,
+    0x9d019be6, 0x731a3185, 0xcf8dc4c5, 0xf397aa54, 0xf856c287, 0xaeb3718f, 0x71fbd561, 0xd1c509a7,
+    0x09bccc49, 0x8030864d, 0xad24b203, 0xb9cd415d, 0x77d9ad49, 0xdc288847, 0x40717461, 0xdb0d2d6c,
+    0xdad9771a, 0xf19408fe, 0x8bb21b64, 0x4b33da6a, 0x46d3b3fe, 0x0ff4c656, 0x1fe0549e, 0x1c1db90c,
+    0x56600d73, 0xe70758f5, 0xa6e618c1, 0xf582fca2, 0x226edbda, 0x6136eae7, 0xc4c56ab7, 0x7c57cef0,
+    0x7361f0f4, 0xb57cd7c4, 0xd7ed3155, 0x693f6a18, 0xf9da8623, 0x19e26214, 0xdd43fa54, 0xb3620600,
+    0x62f57bef, 0x490f6778, 0x025db87a, 0x3d2d3eae, 0x7446a824, 0x1a10f7c1, 0xaa783683, 0xe5539d2b,
+    0x5d3c80d1, 0x3dde4e22, 0x399630b9, 0x68642f0f, 0xebec06c1, 0xbe35e983, 0xa8513a04, 0x7e7dac14,
+    0xa4cbebcd, 0x3b5f0c59, 0x5e5608a3, 0xd384be3e, 0x1694beae, 0x9930326e, 0x2a5b29fa, 0x4fdcf768,
+    0x25848301, 0x3d0503f2, 0x4b4e1e02, 0x080dd7be, 0x0723f65b, 0x122d4373, 0x8f46a635, 0x43776ca5,
+    0xd8c68070, 0xc02476d5, 0xf0619fe9, 0x02d9853d, 0x2904d6d7, 0x28947536, 0x990fefda, 0xb2591f64,
+    0x126aa967, 0x7a599174, 0xbcd7c002, 0xb9e26b4a, 0x651a95c3, 0x17ceb4fe, 0x50404e6f, 0xf6daae6a,
+    0xdf28bd3b, 0xfe184e88, 0x67317b73, 0xa54f1451, 0x16d458dd, 0xe5f01a01, 0x3b06baf2, 0xb819f5d6,
+    0x101bd4f0, 0x1f2b6531, 0x084624b4, 0x6565ec9d, 0x0508881e, 0x18bee341, 0xd7715f85, 0x7bc71786,
+    0x0651d750, 0x2e59670f, 0xde85523a, 0x56fe8367, 0x15abf7b5, 0x49c65116, 0x569f817c, 0x395cc655,
+    0x5f3a8311, 0x2c587cec, 0x1db5c4fc, 0x920650af, 0xdb3dd4bc, 0x05adc5fc, 0xb5eba9db, 0x2c284826,
+    0xed34bf16, 0xbcd19dd0, 0xda853267, 0xde9d892b, 0x70124332, 0xbc8e2caf, 0xa4ca9126, 0x1dd36d0e,
+    0x729739ea, 0x74eeb0bf, 0xcc34b534, 0xc366a4ab, 0xd8766e33, 0x40ebed29, 0x5b6da82a, 0x0d06d1db,
+    0x8f26630a, 0x4c0e93da, 0x786d1e51, 0x22be0991, 0x7d324162, 0x8fa9a0f7, 0xd09c57ea, 0x28429cda,
+    0x589bf396, 0xa053c042, 0x77821262, 0xe7afccba, 0x4a7d29b9, 0x1f8ff71a, 0xd73f13f1, 0xdf938977,
+    0x24e94b1e, 0xf2b00263, 0x57cbfd0a, 0x20bad5bb, 0xead9bf29, 0x342b162e, 0xa68eef3e, 0x5705d366,
+    0x344adbee, 0x59cb45de, 0x2382c0db, 0xc55d5567, 0x0d564003, 0x66d06a80, 0xcad0107d, 0xea0fd827,
+    0x4a4d690b, 0x3b00b589, 0x139975bf, 0x36ab9c39, 0xd8095ac4, 0x5ff7b860, 0xca2e3fbd, 0x16d3d164,
+    0x85b35e2e, 0xaedff973, 0x75934452, 0xf3b281ff, 0x78ca6f1c, 0x7ad392c6, 0x38307ef5, 0x7917c81b,
+    0xd036f8ba, 0xb4fb0d38, 0x171548bf, 0x8d479338, 0xdf65c8f7, 0xca89d33c, 0x7f56a08d, 0xb2203c47,
+    0x06660736, 0x19f2f8fe, 0x2b2cc4a2, 0x3d30bc42, 0x37f8d087, 0x08b8714b, 0xe7774def, 0xa1b44684,
+    0x28cba305, 0xd6b9c075, 0xa4f778d2, 0xeac72b87, 0x38d7309c, 0xfa0f5e10, 0x422ee7fb, 0x14dd3b32,
+    0x228065d0, 0x0fd140cc, 0x8994ec15, 0x9a54f116, 0xe67e87a2, 0x8022f635, 0xa41c7982, 0x868682ef,
+    0x07a6f934, 0x024d21f8, 0xdf97084f, 0xe422ba64, 0x3f25ef1c, 0xaf2e8c32, 0x120cbd65, 0x4390cfaa,
+    0xa215e89f, 0x72b3e439, 0x26bb48b9, 0x4c2aa3ce, 0x6b68e90b, 0xaead4776, 0xc12cf912, 0x87d9f38e,
+    0x9016ba21, 0xac833dda, 0x1ebd6fea, 0xc220c163, 0x6531c518, 0x0babb87b, 0xa917c003, 0x2f73c4f7,
+    0x7752a688, 0xc775f756, 0x6e89dc66, 0x3ebddf87, 0x9f70cd60, 0xc44d5769, 0xb1d85203, 0xa83a887d,
+    0xd3f3408e, 0x567b19de, 0x80a744f8, 0x60c15d7f, 0xef64868f, 0xe5be412b, 0x52acfe91, 0x456a78cb,
+    0xba27047b, 0xfdbb6687, 0x265a87f8, 0x0ca3775e, 0xa8126f91, 0x800dabd7, 0x434b4141, 0x8d321fbe,
+    0xc7728331, 0x256eb54a, 0x0ea8c8fb, 0x6b598274, 0x7c3431b0, 0x42a81ca4, 0xfdfb363f, 0x8e425987,
+    0x7f07c7e5, 0x591c3d33, 0xa7324287, 0x935a21f9, 0x876f28af, 0xbd75ced0, 0x3e40db86, 0xb25243d6,
+    0x0e8d2efd, 0x7453fc3f, 0xbd56d068, 0xe7b38e53, 0x24ff3f5b, 0xa2ef16ef, 0xfd55694a, 0x84bc9139,
+    0xa6528340, 0x202b8e89, 0x4836c0e5, 0x3bd70e8f, 0xb508f312, 0x8f88ccec, 0xcd4d6b93, 0x1e41ecfe,
+    0x9760525c, 0xcd9fb2ed, 0xa6dec91e, 0x982490e6, 0x0f14dab2, 0x6fa214ae, 0x312bfabe, 0x4857f062,
+    0x06b90c81, 0xf0501efd, 0x4c6fb7ef, 0x89b2f22e, 0xa068cc43, 0xeed05976, 0x6be14700, 0xf3f44550,
+    0x9edf3e00, 0x5cee3801, 0xe86e5a0a, 0x42c29e6a, 0xbd9d23ab, 0x0521b9a7, 0x36691d6a, 0xa69069f0,
+    0x8d4db692, 0xbe6d778f, 0x638643bf, 0x36373549, 0x231d4dea, 0x13efe5d0, 0xd7568ded, 0xe74fc5ad,
+    0x91ed7599, 0x5357956b, 0x8b6a1922, 0x4cb93aad, 0x5cc52ccd, 0xcc4e7bc0, 0xd625f5e1, 0x709b9e2b,
+    0x25f27a79, 0x8e6112e9, 0x16f752b8, 0x6c92fe09, 0x84e1f539, 0x17c02daa, 0x5a00c654, 0x48fa4ecf,
+    0x282836a7, 0x82648d6f, 0x6e18f216, 0xbc77073a, 0xa3a3ea24, 0x8c7a2821, 0x5591d7fb, 0xf44bbad5,
+    0x037a2d49, 0xeb0a9162, 0x2cecbc08, 0x454dc6ba, 0xb7ba056c, 0x779b628d, 0xaf1919ce, 0xdfc5e859,
+    0xd5dabe80, 0xd27c9208, 0x1fe0d162, 0x1fa9d48a, 0xc3eeca6e, 0x7e189c36, 0xa0f6ef27, 0x0fce4de2,
+    0x88da20d3, 0xc0658ad0, 0x4162e2a0, 0xc5b52402, 0x12e85d90, 0xf0effaea, 0x50d5b0c2, 0xbc2ca9c2,
+    0x1b36143c, 0xddc44dd8, 0x9e7b0993, 0x22b9d75e, 0x8d3a9a32, 0x48f77a29, 0x307989c8, 0x40a48b9b,
+    0x7ee2978c, 0xa5769a71, 0x5f0556bd, 0x5f21732a, 0xf03aba7c, 0x7bf94ecd, 0x8ace0df8, 0x711c1cbf,
+    0xcb6b3eed, 0xf3d8021e, 0x384fa523, 0xc830f296, 0x6b34273c, 0xc5145f98, 0x04c9702b, 0x94dca8b7,
+    0x13bd6ba2, 0x56ae0bfe, 0x0c688c8a, 0xfde42fe6, 0xc78b8498, 0xa924ea9c, 0xbd9847fd, 0x27019766,
+    0xf9b9a465, 0x1a104749, 0xb58fdb32, 0x69ba28ac, 0xceca71d3, 0xb1adbcbe, 0x473b009f, 0x35deba4b,
+    0x5af427b9, 0xaf3fc10c, 0xef673479, 0x35a9c4f7, 0x37b8faf7, 0xb3ab85eb, 0xfe61a824, 0xaa904967,
+    0xa3c03f9d, 0x318c21ac, 0x9afa4efb, 0x51da1e71, 0x1731a587, 0x46e7e0c6, 0xd9b704e1, 0xfe4da5a5,
+    0x9a8832ff, 0xc3cd5aaa, 0x9d890fac, 0x95e899f1, 0x4a0cf4d9, 0xddd2a9f1, 0xba9550ae, 0xc0ab8e9b,
+    0xeb4e8923, 0xacc3859f, 0xa520f67e, 0xd0ae9586, 0xe306d14d, 0xf815874e, 0x24740cc0, 0x21933df3,
+    0xb7119670, 0x6df3b73a, 0x50127235, 0x8bc0ac7a, 0xfdf11846, 0x19bac62b, 0x2917e167, 0x4b5276ba,
+    0xe1f322e2, 0x9bb35467, 0x380c8ceb, 0x78a7ad00, 0x291686e8, 0x4ea81503, 0x96811c05, 0xa80dc326,
+    0xd83709c6, 0x5a04fc7c, 0x35ea1d90, 0x0e3493ae, 0x84bb0f35, 0xa27441a5, 0xe73b5095, 0x5aff9b5b,
+    0x05012a9c, 0xeaf61b72, 0xb3e3d679, 0xcc6f4ffd, 0x7c425972, 0xa48c0020, 0x0ebcbd20, 0xd57838ee,
+    0x2d4e9e0b, 0x4767daba, 0x31e453ba, 0x382250ba, 0xa5b03401, 0x498b332f, 0xaee7becf, 0x84c6440b,
+    0x3830309c, 0x728889a5, 0x5079ab80, 0xee2a3b09, 0x3a60d351, 0x38c25524, 0xbdb852c6, 0xb4d27136,
+    0x5612df35, 0xbd9e3c58, 0xb9e4bc40, 0xb2c4d41d, 0xebce263c, 0x8864f7d5, 0x64641356, 0x3d3d38a2,
+    0x65a78ea1, 0x3873eb2f, 0x2f935a30, 0x727250f6, 0xaf89bc1a, 0x8c3b55e6, 0x962a773c, 0x3579559e,
+    0x7791a090, 0x813cc1a5, 0xf9847a5e, 0x3ab37da2, 0xab4586d8, 0xe64a6c0b, 0x1caf8cd5, 0x3484af05,
+    0xb5d7e98d, 0x251739ea, 0x94dc1c19, 0xc39a1f1b, 0x1df1e6b9, 0x9f2e04f3, 0x9eaef061, 0xc731a855,
+    0xdece163d, 0xdb703915, 0xc084a20d, 0x84e10179, 0xecf02ae8, 0x9578d12c, 0x1f32f9cb, 0x9993f6ab,
+    0x838c7df5, 0x319e4db1, 0xfefc563d, 0x3b40641f, 0x7b1138c3, 0xefc67365, 0x620a0cf1, 0x0961af9c,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000131072 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00035268,
+    0x00000000,
+    0xeb81cf19, 0xf0160e7f, 0x71cf5553, 0x6ae2e412, 0x4ba19289, 0xc718ebe1, 0x0c03d8b3, 0x134c5b9e,
+    0x50d4a3d7, 0x5514e6a8, 0x3113f680, 0xb5b060fb, 0x0b783161, 0xdd0b904d, 0xb97d115c, 0xc45c39a9,
+    0x6756a3ee, 0x7e4e2d09, 0xb0062e35, 0x92d64529, 0xd74bc21b, 0xdc7c6d02, 0x0f608fee, 0x214afc00,
+    0xf6285ddd, 0x90496648, 0xc0acaa38, 0xda8fb13d, 0x05dc7ae8, 0xc0dc4a88, 0xd2a0ca25, 0x0a6db411,
+    0x4459e9bd, 0x7e486a5b, 0x25ac579b, 0x7872c0c9, 0x36c02483, 0x33146166, 0xa5a3c270, 0xb602e09a,
+    0xd9c35574, 0x344f9d7a, 0x9d8e5d22, 0x8dbe2b5d, 0x3ac68221, 0x6eacba7c, 0x28fb7e73, 0xc770d46b,
+    0x7fccfc4d, 0xfca44a05, 0x122e97df, 0x030e1a32, 0x02010b75, 0x050b032d, 0x7951f168, 0xbcc53109,
+    0x3b6003f6, 0xc10a1dda, 0x5dc57621, 0x41fcb9b2, 0x776135be, 0x65fa9aaa, 0x774957b7, 0x55cce797,
+    0x07403fa0, 0xf5d1bcab, 0xfa785f17, 0x9847ed5c, 0x2910969d, 0xc8ebf86e, 0x1fbb3c5d, 0x3ac8f837,
+    0x520cacf8, 0xf6c2dc73, 0x2d05532e, 0x879ecafa, 0x5db03061, 0x9801d36f, 0x6508925d, 0x32a2b626,
+    0xc9795fc8, 0xb2ef8519, 0x36787156, 0x466add66, 0xb1964036, 0x13af361f, 0x780c2951, 0xf3304d5c,
+    0x9ee513a7, 0x50b0b2a0, 0x43e62b54, 0x3c946b22, 0x847ddbd1, 0x149ff88c, 0xeb7f7eb2, 0x09945936,
+    0x71018e60, 0xa02bb647, 0xed3beac7, 0xce99a179, 0x67787bc7, 0x2351349e, 0x85513b3f, 0xc803f52c,
+    0x2eb2cb31, 0x6d0d4bb5, 0x83740c2a, 0xdc823298, 0xd5c2a404, 0x00aa770b, 0x2641bd65, 0x8b72c5fe,
+    0xba0cb7d4, 0x6aa3fb29, 0x847b0dc0, 0x22bdb238, 0x87107e22, 0x05faf318, 0xc5d8455d, 0x6adf6650,
+    0x52838cef, 0x8bac463c, 0xde062fb6, 0xb7ea7466, 0xeeda3086, 0xc549eadd, 0xee1a1fb7, 0xdbb121de,
+    0x6db9844e, 0x46c74ee4, 0xc72de875, 0xe432619c, 0xaca6a522, 0xe87200a2, 0x989217e3, 0xfdc626a5,
+    0x979708a7, 0xfee4177e, 0x3e10e8a8, 0x4957ec70, 0x6bec97ff, 0xbb021e8e, 0xccec48f1, 0xfd6089d2,
+    0x43222913, 0xffa31f53, 0x27105ff7, 0xff8516d5, 0xd2f598dc, 0x780e3816, 0x05473650, 0xb5cd6d9c,
+    0x4737a1ef, 0x90046797, 0xdeba917a, 0x9245b9b9, 0xdd13ac53, 0xe28f6f71, 0x5a8508cb, 0x561eacb5,
+    0xa940675f, 0x2aa59b45, 0x9d9f60d2, 0xc4247104, 0x2734f513, 0x52ac41b9, 0xeb211f55, 0x839a9f01,
+    0xe5f8443a, 0xe2413caa, 0x16790d73, 0xdafd0edd, 0xe0615ef6, 0xbfa7be19, 0x4dec963d, 0x2b7e6b94,
+    0x27e0f2ad, 0xa0d03fce, 0x0812c6c6, 0x94cc0a83, 0xbd2604f7, 0x8d0089e4, 0xcba0f2ad, 0x203c9642,
+    0x3e525de7, 0xcbb72403, 0x58f84702, 0x5d8c8459, 0x63866607, 0xf4b6933b, 0xe5e547e6, 0x84a35f46,
+    0xe9c4d47d, 0xc989481e, 0xd82b2ebf, 0xde8d7d23, 0x18f2d5eb, 0x1782b7eb, 0x38f51011, 0xa9ef2a7a,
+    0x0a4dc8b0, 0x9c7ae292, 0x6c119c5c, 0xce1520ce, 0xc1c4e250, 0x8d442900, 0x2a3685f7, 0x1e5a2234,
+    0xbaad2220, 0x4a333e64, 0xcf2430f0, 0xa86335c1, 0xb806b5ec, 0x96020eb5, 0x4f542d1f, 0xcb7dba8b,
+    0xca886826, 0x215ee429, 0x03d42598, 0x87ceead6, 0x47312013, 0x6675f34c, 0x4e5a2a3e, 0xd4759b09,
+    0xed060fe6, 0xe52fda40, 0x322bc6fe, 0xa88720e6, 0x6e1955f8, 0xe7cb1464, 0x22744dc2, 0x55b681ef,
+    0x95b738b8, 0xe46490f0, 0xde32130f, 0xdd5e8b95, 0xf1aea074, 0x222bde16, 0x76bf7ae6, 0x876e0a64,
+    0xe04d6b46, 0x82ce90a8, 0xf9ff557b, 0x178bc2b0, 0x69074a4b, 0xb100f8db, 0x2e9bdc96, 0x555e37e5,
+    0x8423ad67, 0x87c75889, 0x2a7168b9, 0x60c17a88, 0x9915700e, 0x92542e1c, 0x61fb718e, 0x02777332,
+    0x567dcefc, 0x30fe0118, 0x32835a64, 0x03c2baf8, 0xdd274f2c, 0x129e2687, 0xc2fd2d83, 0x1733bc0f,
+    0x487dfb9c, 0xadf61014, 0x673e3461, 0x36a8284e, 0xe76af3dc, 0x8af53e7a, 0x5a83570c, 0x96e96901,
+    0x2186c0aa, 0x0daea7d0, 0x3db03889, 0xcf068a55, 0x13211c5d, 0xfe91fcf5, 0x6d3cdc23, 0xf6bfeb8c,
+    0xbf7fee34, 0x32a8c54a, 0xa07b7588, 0x6f4e763f, 0x82551d60, 0x07d750e4, 0x73c00fe4, 0xddfa40bd,
+    0x5d238fa2, 0xe1b6dcf9, 0xd4e954b8, 0x4f1519b2, 0x4d3005c2, 0x2d3ef00f, 0xc9d73477, 0xbf2297f9,
+    0x63d09b50, 0xdc0c57fe, 0x31b6f075, 0x3309eecf, 0xac9f82cf, 0x34a053d1, 0x32e36576, 0x6577a29c,
+    0x8fdb1d37, 0x9f495d3f, 0xab18bb14, 0x09ec27e5, 0x5b85b736, 0xc8007b18, 0xc1b6bf6c, 0xed2a5b94,
+    0x0ea68df9, 0x304e8df8, 0x57b5eacd, 0xffd77a51, 0x2ab88c8d, 0x2f9bae69, 0x0f7b31c9, 0xa57ebc85,
+    0x6acca39b, 0x6d2caedb, 0x2f5a70fa, 0x3fbf569b, 0xa1c5baf1, 0x6c28eaf4, 0x41877730, 0xe022f373,
+    0x0ee9b36c, 0x843b135f, 0x78c37a17, 0x47cefc11, 0xf12f22a9, 0xc3d57b89, 0xb7dcd14d, 0xb9b0aef3,
+    0xbfa02ebc, 0x841a45a5, 0x697aea87, 0x8081d3dc, 0x4538c01f, 0xd34b02bf, 0x7bb9315f, 0xb96363b5,
+    0xc2ee25e4, 0xf1f564a1, 0x84adfb75, 0xd259918f, 0x7dfe80ef, 0xbb6ecb0c, 0xe312e399, 0x47ab1397,
+    0x8f31f101, 0xe57a1c85, 0x53138eb0, 0x84c433c9, 0x7b576fd0, 0x3ff36c25, 0x25aac09b, 0x29b3604d,
+    0xd3eb263e, 0xf2bded2b, 0xe9b85cc3, 0xa85acbed, 0xa08fc2fc, 0x55e19083, 0x6be0a31d, 0xe6dcf2a2,
+    0x788de752, 0x0fb4b858, 0x0bb8357f, 0x4dbb9293, 0xfae6f2ef, 0xf6d0b73f, 0xf0473d57, 0x00d770ea,
+    0xf73a8b92, 0x487705ad, 0xa4336293, 0x3746b916, 0x8144e898, 0x2d254ea5, 0xa565281e, 0x64ea6eff,
+    0x18fbfe3e, 0x8249c898, 0xdd96d235, 0x50765b12, 0x395fe9b4, 0x891db58b, 0x345974a5, 0x3579be20,
+    0x6b03d78d, 0x6291d8f1, 0xc09fc8e5, 0x7c355191, 0x15f2b11e, 0x370ec493, 0xdab616f1, 0x9f72d61a,
+    0x2da82684, 0xf949a7c8, 0xe19d122f, 0xba3b0042, 0x4fe31103, 0xf2855ab5, 0xade0f59e, 0xadbf66ff,
+    0x124d3272, 0xfb4aa1e2, 0x18d7ab5e, 0x9340d8e4, 0x4e4cd370, 0x31daad0e, 0x6434d22c, 0x390faa44,
+    0x4586ad34, 0x95fd4fbd, 0x07439dae, 0xe16999bc, 0x5a8436b9, 0xb69acc60, 0x055201ca, 0x9e06d526,
+    0xe8535f1f, 0x6073da7f, 0x63ecfbee, 0x04edcd14, 0x1067c302, 0xc6ce5783, 0xf5d3f526, 0xe901c289,
+    0xc67e001c, 0x5c60bd19, 0x97542200, 0x94100f69, 0xf75ff822, 0x1fa74c42, 0x7c5a0556, 0x87d5305a,
+    0x1e223368, 0xe9e4164c, 0xae1eaf10, 0x87acdb79, 0xb51129a0, 0xb7cd962c, 0x55faa4c1, 0x14d9b7cf,
+    0xe2f11a38, 0x9b28c78f, 0x0ed8256f, 0x73347dad, 0xe7992c8d, 0xd1ce2928, 0x60bf2872, 0x86652dd7,
+    0x1df1e173, 0xff93073f, 0x0fadb4b4, 0x6b90a113, 0xd354797c, 0x36551294, 0x0b0f37b9, 0xe02c0e78,
+    0xd4f72e89, 0x73fe050e, 0x3face983, 0xd249e648, 0x588a7878, 0xcab8e90b, 0xe48466da, 0x3e4f7720,
+    0xa09138cf, 0xe8bb372e, 0x815f4842, 0x32a87e0e, 0x6741e027, 0xd54c29b2, 0x4d0bf4ec, 0x2a2ff6f2,
+    0xa4bce9b8, 0x8372f0af, 0xc68d2e7c, 0xdc27eabb, 0xc545dbcc, 0xc06f7563, 0xf83c06ad, 0x918e3274,
+    0x477ebb32, 0x2b24d52f, 0x2f7f5edd, 0x5fc4794a, 0xe991e23c, 0x1378b70c, 0x5796eca0, 0xc4a82d2c,
+    0xb6bf616d, 0x946f755f, 0x1d846c58, 0x8dd8a190, 0x3ff08b51, 0xf8a9aa69, 0x72ccfa10, 0x218625ae,
+    0x1c559640, 0xd1f291a6, 0x712647e6, 0xbe5f4fcf, 0x33145cab, 0x2c9436b0, 0x5e1c3840, 0x66b62ae5,
+    0x5b833f42, 0xe2a2e793, 0xf11ec4e9, 0x3d9ee0c5, 0x21ee3ae0, 0xecd9ca0c, 0xa1d05b2c, 0x0fe98f84,
+    0xe994cd15, 0xeb459704, 0xc380af37, 0x81563a27, 0xd8f00744, 0xec731685, 0x41f23d34, 0xf5f23d60,
+    0x3bae0622, 0xa4637487, 0x1013e66d, 0xed44b482, 0x50db298d, 0x7cfc136a, 0x21bc809b, 0x911fa8ed,
+    0x6635450c, 0x0a9d9fab, 0xe601237e, 0x7200cd54, 0x47ba6901, 0x201a2054, 0xc9f851d5, 0x79955a8c,
+    0xb27100fd, 0xf62d2484, 0x1ab24dc6, 0xddc0d907, 0x530d3630, 0xfefbf6c0, 0x9bc93366, 0x8807282d,
+    0xaab68eb3, 0x0269cc03, 0xee1eb806, 0x1433bcda, 0xabdbc360, 0xdc3131fd, 0xc6c14399, 0x427bc98a,
+    0x16e7ac25, 0xedf6dbde, 0x992bdedc, 0x99899119, 0x123b8a70, 0x9e458699, 0x8b27c352, 0x00620bd1,
+    0x34da1036, 0xcd1b9380, 0x45b46bd8, 0xbef5b0ff, 0xb01bbc74, 0x928bc60a, 0xc4fddb1b, 0x948d5932,
+    0x2db819ff, 0xc21c8dbe, 0x2f48b429, 0x4ea876b6, 0xe3521356, 0x5c1d83f7, 0x39f108a5, 0x6f642905,
+    0x7c8e8127, 0x9d71d0ca, 0xb653bec8, 0x844ccb0a, 0xeeb27f8f, 0x0e573f22, 0xdb69d51a, 0x70a68897,
+    0x6d3c9a87, 0x50497923, 0x47e0d6ff, 0x8a89511b, 0x7ae6dfe9, 0x0369a8ff, 0x1e7319bb, 0x7da356aa,
+    0x16de4824, 0xecc27b9f, 0x29943fc3, 0x312a1039, 0xc40d03a3, 0x89d8fd28, 0x27bce786, 0x3c660c08,
+    0x541fd55f, 0xa1237436, 0xfa30fc1e, 0x6f22f176, 0x5d73740d, 0x4eb0f781, 0xa27a5d6c, 0xff67c115,
+    0xe56ff57e, 0xbf244295, 0x6aab7d1b, 0xad455955, 0x7ede6f01, 0x93fd46e9, 0x0a03e421, 0xd2b630a3,
+    0xe372ef04, 0x658ccbb7, 0x222b5c0d, 0x79cf4fee, 0xeebf0a07, 0x5a79fce5, 0x42a30e04, 0x01d065b9,
+    0x46a9a03c, 0x8066300a, 0x45bc2e24, 0x012b60d8, 0xe309c078, 0x1d938ea6, 0xf70414ae, 0xd0a69ecd,
+    0xc6b075c1, 0x31cacb20, 0x92215b08, 0x76a18a2d, 0xb5fa5d05, 0x027b6e3b, 0xfe5546df, 0x0aeed859,
+    0x01cce840, 0x9a7967f3, 0xd3bf83c5, 0xe12ebcaf, 0xa09efc1a, 0xe23d3ea5, 0x7b9d344b, 0xcaa8c279,
+    0xf2ff6c97, 0x26e99fea, 0x55205f65, 0x1ab73689, 0x7d03822d, 0xe6bd7596, 0x53776ad9, 0x9685f65b,
+    0x6b943125, 0xe7bdaff6, 0xe2137f9d, 0x5674e45a, 0x2786a2ef, 0xd6885cc0, 0xe4a394d5, 0x27f2cb69,
+    0xd8536f1c, 0x5206416c, 0x51d8093c, 0x09c86c50, 0x4c28069f, 0x70296e4d, 0x40d9d48b, 0xe5e15128,
+    0x941a3b20, 0x8e3a0a33, 0x62ac3fb5, 0x713952a5, 0x0160f0f4, 0x9780e8a9, 0x3c666d79, 0xa05427d7,
+    0xa7f418a4, 0xd0b6886c, 0xca322f1f, 0x2ab0ab94, 0x6f3cfe76, 0x8f072fce, 0x3dec87de, 0x0c932505,
+    0xd3a895fb, 0x6abedeb4, 0x82223a5b, 0x5303ffc8, 0x89b967c2, 0x51ca4ab0, 0xdec4865c, 0x168b7695,
+    0xd6000a45, 0x053babc3, 0xd4ddbef4, 0x41c24d6e, 0x4f3196c9, 0x74c8f670, 0xa0911130, 0x37fe6f08,
+    0x163be533, 0x78eb124e, 0x4e2d525e, 0x7973b3d7, 0x483ec5d9, 0x7cde30a1, 0xc5a25548, 0x9a765877,
+    0x256961fc, 0x6a2c9dbe, 0x6f65300d, 0x14b93683, 0xa8995c3e, 0x8aa03906, 0xc64ee3ba, 0x9c1937e0,
+    0x9d488b92, 0xef53510f, 0x23c776ff, 0x2eaba43e, 0x425001fc, 0xd1a79dee, 0x784e2c97, 0x47c1dfad,
+    0x742ce66b, 0xf4678d62, 0x3075dd9a, 0x6a53df56, 0x3011d549, 0x129d596a, 0x9cc2a60f, 0xe3a2033c,
+    0x381b986b, 0xed2b8340, 0xe1d9c3dd, 0x037695db, 0xbb0c4f27, 0xa85dff64, 0x1b692b1c, 0x82fff6e6,
+    0x65e11005, 0xbcc4e5bf, 0x8513e8b6, 0x841ae1f7, 0xadd15aad, 0x9143e685, 0xdf7d9421, 0x6596c7e3,
+    0xca6407bc, 0x22490866, 0xad52ec30, 0xb6b51197, 0x27d2f3d2, 0x301f5650, 0xc2103050, 0x8ca25467,
+    0x9c8f572d, 0x29ca1e4d, 0x971d45b2, 0xa6cf7584, 0x9aac5e4e, 0x6bc7be29, 0x1fa8d005, 0x16e11095,
+    0x8722b296, 0x1763daaf, 0x249a3f09, 0xef05dab1, 0xb92c8302, 0x03ca3c42, 0xb718bf08, 0x082c3213,
+    0x843458e5, 0x5b56c7e1, 0xecbdb959, 0x08e574dc, 0xd06669a4, 0x07564e2e, 0xf6293819, 0x3b006493,
+    0x81553b28, 0x197c7832, 0x657713d6, 0x3dae661c, 0x8a97edc8, 0x4778afd5, 0x8d51ade0, 0x054bef0e,
+    0x81528abe, 0x7bb4e3eb, 0x3f4d4eee, 0xd3ef13f1, 0x99d51a9a, 0x05278251, 0x9dde81e3, 0xb6610aa1,
+    0xf5e1e1ec, 0x5592b161, 0xfb046e1b, 0x9d608cd7, 0xce6d7933, 0x123289a1, 0xdf803722, 0xf9220cb0,
+    0x6889f332, 0xad5b5fb6, 0xb0a2af43, 0xf2ce55e7, 0x4fe22f8e, 0x653bf3c2, 0xf91f1783, 0x2e04252b,
+    0x5a66ef3b, 0xab4728e6, 0xcc041644, 0x68f17d14, 0x21d972c0, 0xda950419, 0xcd332a03, 0x0b61b3a8,
+    0x5a1bf75a, 0xd00f60e7, 0xc4dfacd5, 0xcd491f46, 0x37830d02, 0xd75dd109, 0x9a143284, 0x680fda8f,
+    0x291afb58, 0xf75a7259, 0xf7243059, 0x395b3dc9, 0x72dd9c4e, 0x22fb4f14, 0x27c3fe13, 0x0df8fdd9,
+    0x39b2cec8, 0xf01a50e4, 0x73b15cfe, 0x8bc83fef, 0xbc9f6dbd, 0x91313973, 0xa291fd43, 0x3725441c,
+    0x56b26a25, 0x89927073, 0x1b0a6db8, 0x20a33ee8, 0x455fb749, 0x114f3ac7, 0x9e68bff5, 0x2fee740d,
+    0xbb43d10b, 0x4faaf5fb, 0xa96ae1d1, 0xe1964bde, 0xa3133749, 0xd82011d2, 0xe7a43882, 0xda293c19,
+    0x30ea82d7, 0xe7ad3471, 0x66797965, 0xcb199549, 0xa0b90346, 0x6cc4b8ac, 0xaca5c860, 0xdf002bbe,
+    0x8d66a7e8, 0x3d4ce121, 0x699d5912, 0x382164f6, 0x54261db1, 0x921ed685, 0x5cc8c757, 0x43f7b919,
+    0x29df54af, 0xfe33b41f, 0xa439dfbc, 0xa1e682ba, 0xcb539399, 0xbdb15d9b, 0x05e10888, 0x5c268882,
+    0x97c08269, 0xe5a5e2ec, 0xfc650348, 0x3241f780, 0x1c1f95b2, 0x1e9edeb4, 0x00f13b56, 0xd6e901d8,
+    0xf61c118f, 0xe75138c1, 0xea4c859e, 0x5de706b8, 0xd6c6d5ca, 0x269abf8a, 0xc5db3858, 0x26ac87cd,
+    0x46e053a3, 0xf9693a1c, 0xa6660c84, 0x3c521ecb, 0xf6b71c62, 0xe132563b, 0xf7f4389f, 0x0c586316,
+    0x8d260693, 0xa1767401, 0xda953eb0, 0x8e841935, 0xf9e84b30, 0x48639ea0, 0xceaf329c, 0xdf14a77e,
+    0xe868fb8e, 0x17ff4003, 0xa0b9e71a, 0x8682736d, 0x81272180, 0xd71cd4e4, 0x85e1ad80, 0x855fe099,
+    0xd769ac56, 0xdd60447f, 0xd9fafe8b, 0xd50b4d1c, 0xed7d0875, 0x7c7734d8, 0xd147f938, 0xfaa6fdf9,
+    0x83908f87, 0xdce7ad06, 0x32a8d61f, 0x26250090, 0x21aaf36e, 0x24fbf59c, 0xa89f19d5, 0xb75780c1,
+    0xdda5ea78, 0x1cc6b0e0, 0xe32482df, 0x83cd83ce, 0xcd0fe3d2, 0x0cdd73ec, 0x65452295, 0x7ba003e3,
+    0x2a7d7f2d, 0x19626d26, 0x5dc95410, 0xd4431bf8, 0xfaeeaf39, 0x078d5d87, 0x360034db, 0xcdec644e,
+    0xd88e72cf, 0xd7d3a577, 0xd8f3985a, 0xc49dd80c, 0xf55c2946, 0x99ece088, 0xccfda463, 0xe7c79afe,
+    0x59c56552, 0x3a8cabe7, 0xd376547e, 0x288bf28f, 0xcb9112de, 0x2a4097a8, 0xddb16bb3, 0x90ff3ec3,
+    0x32193c1d, 0xa413fa81, 0x6416d8fd, 0x2f8c62c7, 0x45bd49ae, 0xe9292455, 0x4d812da8, 0x04c92053,
+    0x7264d0f8, 0xb23b2a5d, 0xb575c1b5, 0x1cfcc433, 0x2e6a553d, 0xf775c65e, 0x24199fab, 0x6b48aa61,
+    0x3496c90d, 0xa8da68db, 0xea6ee27d, 0x32dca24b, 0xfe704f9b, 0xc6a56f69, 0x506acc2d, 0xaabd75bb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000065536 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0001a933,
+    0x00000000,
+    0xf58a326a, 0x5783a749, 0xb3c1068f, 0xdbaa558b, 0xa3a3210f, 0x13afdf93, 0x00ba376f, 0x07afc6c5,
+    0x26ff6a4c, 0x606cf3f9, 0x962356cd, 0xefe0ea0f, 0x3dd8ece4, 0xf5b52fd5, 0x4b807ea3, 0x6d1934f3,
+    0xa48e089a, 0x8b707cbc, 0x963c29b9, 0x655554e3, 0xea64818d, 0x0e8050ac, 0x50cc4830, 0x6fb4087e,
+    0x10e0e308, 0xa5d9789f, 0x96b5eaac, 0x340e3f5b, 0x3b074021, 0x5d2da9c2, 0xf3a34a95, 0x74745586,
+    0xec1656d1, 0x428a1662, 0x5e470b4f, 0x0b81b08e, 0x9fa80cc9, 0xb9069f26, 0xd152c938, 0xe7a47b11,
+    0x1ea6cef9, 0x8f0042e3, 0x1b3cef56, 0x02f28800, 0xc0d6871c, 0xd470e5f3, 0xf39c1536, 0x39c79c4e,
+    0xc3243db1, 0x8f4a154c, 0x79d1f503, 0xbbec7ca0, 0xe9428705, 0xcbf9dda8, 0xbd0429f3, 0x899bf3dc,
+    0x26b8c6b2, 0x39cee81f, 0xf09159d2, 0x01be4bbd, 0x25d4c5cd, 0x6629ef78, 0x367701da, 0xad325bc2,
+    0x320a7b08, 0x533ddf96, 0xefcd4720, 0x7ec60134, 0xe12779ee, 0xa5648629, 0xf6716aaa, 0x551745d9,
+    0x6d700b8b, 0x4afbebba, 0xbcfca145, 0x498e276f, 0xddb0bac2, 0xd5ef1f3a, 0xd2a87ff1, 0xb63a6f7f,
+    0x21320ef9, 0x4f58e004, 0x20ecde6c, 0x4cfa3be0, 0xd6ec2f0b, 0xc74d754d, 0xad4e7bb0, 0x0411e17a,
+    0x400f0a56, 0x2410c488, 0x4ffa33f9, 0xa7b2487c, 0x8c1382b8, 0x9d6318d9, 0xf36acaaf, 0x3ce66f05,
+    0x1ebbc4e5, 0xc94fb985, 0x2bef4f98, 0x6bbc07c1, 0x7f938c29, 0x1f139a02, 0x239ceb29, 0xe89d01a6,
+    0xd93ad760, 0x183c72ce, 0x04d845cb, 0x9f50567b, 0xb6a5fad9, 0x59563b1c, 0x29e15d2a, 0xcdeee6b8,
+    0x3aacec23, 0x2f7374e8, 0x1c5d71be, 0x84df5def, 0x4be951a7, 0xd55571bb, 0x58968a42, 0x8359911a,
+    0xd49dd15b, 0x6595279b, 0xc04fe7cf, 0xed2d292a, 0x91fc9d3c, 0xcd640c55, 0x8f30cce0, 0x9bcc90db,
+    0xa57938b4, 0x3045ab1f, 0xe42e02f7, 0x54528782, 0x24644eab, 0xe075c60e, 0x1389857d, 0xf648e790,
+    0x550bd478, 0x9e511548, 0x8386873a, 0xd4124b63, 0x2645c9de, 0x13ef10a9, 0x99f670e5, 0x0a95f7a9,
+    0x1c69df37, 0x83ddcd56, 0x26d3d0f1, 0xc4c84b44, 0x8faa7e8e, 0x4c6a3f7e, 0x80fa8e1d, 0x1572c4d0,
+    0x80c8d8ab, 0x2a0ee93b, 0xa18ce797, 0x785b4b9b, 0xa04472a8, 0x5591e2ac, 0x7da166ff, 0xc64dc3b9,
+    0x2b5b6d3b, 0xb7c5027c, 0xd826be40, 0xf7efcb9e, 0xeb879bc9, 0xaa194cc8, 0x62f58ba4, 0x60732832,
+    0x946242e2, 0x32ef45d2, 0xcd0ddac1, 0xb7c8e1e5, 0x9906e04b, 0xf304e9af, 0x9451f673, 0xfa414a96,
+    0x5cdca7da, 0x3e28ee2a, 0x61951a36, 0xfd345de1, 0x24ab66f5, 0x513f8c59, 0x0033bfc8, 0x7d10cc2b,
+    0x30729c92, 0x68e9cdb7, 0xc5ab6edc, 0x7c9549a0, 0x49999c89, 0x111030d7, 0xc2ea53bb, 0xb1779f58,
+    0x8a0aa051, 0xc71744d8, 0x73962311, 0x28112411, 0x863bba72, 0xbdf1ef5d, 0xbfe52b40, 0xa8872cfa,
+    0xf10ed634, 0x0a1db4d5, 0x163fdb01, 0x1fc8f4f6, 0x961eb1d8, 0x50533cb5, 0x9ca9476e, 0xa1b823b0,
+    0xe6274b18, 0x37f3b672, 0xc028a20c, 0xa9470429, 0x5d97bfa7, 0x6cea76a6, 0xff334ea0, 0x49631af0,
+    0x5117e36c, 0xd406831a, 0xc420fd9a, 0xb9da70be, 0x5ebe5cf2, 0xacaa0b48, 0x5ec96890, 0x6b3e65bf,
+    0x1dcedc1f, 0x3c8774d9, 0x2014daef, 0x81bbf244, 0x4755a0d8, 0x692178f2, 0xcde58a4a, 0xb195e8a4,
+    0xb37d6a16, 0xb46bb38a, 0x0db7fc6a, 0x068bbed1, 0x9d07c137, 0x5779c6b2, 0x23c481b8, 0x785bf0ce,
+    0x613e4ad2, 0x6ea95a1c, 0xa4144d19, 0xce2bea35, 0x7fea88d1, 0x712ecf84, 0xac883c0b, 0x76f7175f,
+    0x427eca72, 0x421f859a, 0x329f5cb3, 0xfbed121d, 0x921f3ca5, 0xb766c71e, 0x2e4efc0d, 0x576ec45f,
+    0x85cc806d, 0xea5075e5, 0x1cd0bdf9, 0x30219893, 0x7708e001, 0x66a83aee, 0xd3a54540, 0x5e91dfce,
+    0x2dc19502, 0x185807f7, 0x706799fc, 0xbe058a72, 0x88239c31, 0xc6259d0d, 0x7f535b68, 0xa2225ef1,
+    0xe94f6bfa, 0xd05766dd, 0x59127ab2, 0x844c6aa0, 0x0dbfab5a, 0xdb5aa015, 0x5a2b66e6, 0x5feb920e,
+    0x53176c2e, 0x6fcebf0d, 0x031be574, 0xd25f8e86, 0xd152bca1, 0x4875ee75, 0x252abbba, 0x437272df,
+    0x540b8d69, 0x2ecc7727, 0x263c9e0e, 0xb0955a35, 0xe66c3450, 0x52e02f86, 0x14c7c1c2, 0x72e63a41,
+    0x1ee42d1b, 0x37a9759b, 0xddfcf004, 0x183e0531, 0x41755ecb, 0xc33b2071, 0xf20f3fd0, 0x38e11645,
+    0xfd24df75, 0x5e129587, 0x10242ff4, 0xe208ffb8, 0x0d8d28b0, 0x55942f76, 0xd5569f27, 0x590199a8,
+    0x9eedc55e, 0x6239ad29, 0xdf9a8dac, 0x2ed15159, 0x435bf2cd, 0x5a1ec6bc, 0xb6e2542c, 0x70c45cc8,
+    0x3a6e6b83, 0xf03b32ea, 0x764d5ce0, 0xcbade248, 0x1adb7f8f, 0x9c7a7b8f, 0x0d107275, 0xd33ca2f1,
+    0xc560a1ed, 0x893def73, 0x000a1083, 0x66aceca7, 0x3d0886da, 0x0002052d, 0x4b810fe3, 0xe22e4ad9,
+    0xb8edb799, 0x2fc2d739, 0x310bd824, 0xb56e38e5, 0xc877c560, 0x0e4c26d6, 0x32d176de, 0xbab8d903,
+    0x89d948ac, 0xe1f8979d, 0xe55f268a, 0x9770f077, 0x2ebe53c0, 0x0d10c9e8, 0x2f361966, 0xea787ec4,
+    0x45a8af09, 0xcf38346a, 0x901309fc, 0xb4ec11da, 0xbcea7cbd, 0xfaf6fe06, 0x05fbd182, 0x0cc784ee,
+    0xeececcc8, 0xe1448227, 0x98f422da, 0x18d456ff, 0x6c4ae9ae, 0x24377d82, 0x78134ea5, 0xa220ce63,
+    0x4686235b, 0x7a80e2f7, 0x1e7b5a68, 0x4362a203, 0x371941d1, 0xf7c217f1, 0x74dc394a, 0xf809957e,
+    0xce3967d8, 0xbca44167, 0x8bfa36d3, 0x34e91535, 0x2140e8aa, 0x4925ea18, 0xff33778e, 0x098badee,
+    0x159532e0, 0x7b4ba4c7, 0x76411bb9, 0xa09a2177, 0xf89a2e03, 0xa6cc3e79, 0x20dafdbf, 0x3c399949,
+    0x2aa5e8e9, 0x0245ebb5, 0xa223129b, 0x899abe20, 0x53907935, 0x27c47c75, 0x718d5e92, 0xf1769125,
+    0x11ae5824, 0x2434c2ff, 0xd4818723, 0xf15a96b8, 0xadeaab66, 0x008be8c0, 0x88b6e475, 0x97e653d6,
+    0x008721f1, 0x77fd3f68, 0x2da34583, 0x464a8ca1, 0x7d2878a9, 0x300a1cce, 0x7db3a2cb, 0x646555ad,
+    0xa7555f18, 0xaf705dfc, 0xb978c288, 0x2b6151b4, 0x2fd8db43, 0x3e5cc324, 0x6acf9fd3, 0x198cf8ba,
+    0xdd056530, 0xa871889c, 0x4e5e65d4, 0x38072340, 0x702e3c24, 0x6976ed35, 0xf2232d1d, 0x9309d58d,
+    0xe6202da0, 0xbb2bb554, 0x6cb475c5, 0xa10145fa, 0x4699de37, 0x99308cab, 0x1745e94b, 0x08bd022a,
+    0xf44d45db, 0xf4e75949, 0xc3d1d7fa, 0xcfc1eda8, 0x52139f64, 0x8aa48de7, 0x0ee90f2d, 0x889c28dc,
+    0x7484b391, 0x9594ef07, 0x6967248e, 0xa59edbf7, 0x765abf02, 0x0cc3034c, 0x73e53c5c, 0x7e8a0810,
+    0x10cf83d3, 0x04ae05d7, 0x5aa9fad9, 0x0dc962fd, 0x65a47240, 0xa567d276, 0x561bd0a4, 0xca52cabb,
+    0x8027a3b6, 0xe0a081d2, 0x8f85e15d, 0xf3649098, 0x2e89850b, 0x5195b651, 0xb84f1c1d, 0x5fe95c06,
+    0xd4ac7324, 0xa5db343f, 0xfab63854, 0xb381b4f6, 0x3ab7659a, 0xb0ea89bf, 0x702e69a7, 0x55ec1d72,
+    0x036419e4, 0xf8206975, 0xb3143e63, 0x30ee6b48, 0x019d0541, 0xb310a910, 0x62d06b0a, 0x655d440b,
+    0x549d8e9a, 0xa3fecd4e, 0xfde40629, 0xddb5a7fb, 0x253d3c84, 0x9eccc70f, 0xe4c6ba92, 0x975c59ca,
+    0x5db53d60, 0x7b1eb7a3, 0xbd2c62b3, 0x94398344, 0xef36843d, 0xcfe8d5e1, 0x2f84b415, 0xe104c993,
+    0x9ac1906d, 0xecf932ee, 0x48ff0854, 0xd5b898fb, 0xbcee5a46, 0xdc6fab42, 0xd3d2ca45, 0xfed6a2a1,
+    0xe6221965, 0x58d98805, 0xcbd069af, 0x8f59520a, 0xd3ff3428, 0xe30d6aa5, 0xb7f45254, 0xdc71ce60,
+    0xb9ad5a7e, 0x8f22b307, 0x5bb5402a, 0xd0a5fed8, 0x4dd60f7d, 0xc0f181a3, 0x6951b20a, 0x6dec675c,
+    0x0eb83908, 0x107d07d0, 0x6aaaa3f3, 0x6d2bbe5b, 0xece39fc1, 0x0276e80d, 0xe0daa742, 0x2186af2c,
+    0xb0815d18, 0xc0adf9b8, 0x033c036b, 0x0651cca6, 0x7acf5cfb, 0x6f74ef72, 0x503fbb10, 0x535482ed,
+    0xc01c8e07, 0xbd003334, 0xa54e1791, 0x5996a236, 0xab9f76e6, 0x97c566ea, 0x86e7f969, 0x67f55cb0,
+    0x2c49df98, 0xe741d947, 0x378313da, 0x50fb5464, 0xe4b08d14, 0x342abd55, 0x923a42dc, 0x249229fe,
+    0x380fafe3, 0x92990b17, 0x2ff6c9ec, 0xe049ccb7, 0x3852fa21, 0xdb2c1495, 0xd8ad358f, 0x0508faf8,
+    0xbede55a0, 0xd9c21677, 0x530e24bc, 0xdeb4369c, 0x2f0e7218, 0x6e741094, 0x57821185, 0x15465ca7,
+    0xecbdfb17, 0x811088d4, 0xc150f4c3, 0xc1159e42, 0x458e757d, 0xd95b41fa, 0x3a87d84f, 0xf8937740,
+    0x02ca1609, 0xb6376dc0, 0x2c6b942b, 0x7f60f40c, 0x31585d65, 0x7852fcf9, 0xc8059f30, 0x34ca405e,
+    0xf9755543, 0xaf1fec74, 0x36e57adc, 0x5f4d01ee, 0xbe2ff7e8, 0xe3d4618a, 0x6f2bd2bb, 0x926c2941,
+    0x3feb912c, 0xd27737aa, 0xb686e6f4, 0x9bb8ba8d, 0xd7007910, 0x0cc41e44, 0x9c17b9b2, 0x031d112c,
+    0xc2a5efb3, 0x5bdeecc4, 0xf9802e6c, 0x80c918e8, 0xaebdad7c, 0x5f87bf63, 0xc0108ce8, 0x7a6db006,
+    0x66744256, 0xefb03304, 0xe3789c50, 0xd6140b12, 0x11b9a7dd, 0xe67f0887, 0x22db77b0, 0x9b2940ad,
+    0x741fed47, 0xbb20ad0b, 0x59e84bbe, 0xd9890021, 0x639fe5dd, 0x84d3658c, 0xdb86a6f7, 0xdfd09a54,
+    0x5f832e89, 0x2f47adfc, 0x4c4b058b, 0x1bf71824, 0xdcdde4d1, 0xd328a2d4, 0x4619bfb0, 0x0de78f97,
+    0x49aa2a47, 0xaa4c048f, 0x64aee1ef, 0x415f2c7d, 0xb53258be, 0x7cb1f79b, 0x09241a2f, 0xe9a5d6ef,
+    0xe2b35565, 0x2ed56e90, 0xfde36c25, 0x1dea49b9, 0x54dfd0ca, 0x05eab68f, 0xbfd9b6c8, 0x4c181346,
+    0x04dd57d7, 0x3516c947, 0x6b553e54, 0xa36bc57c, 0xf43a8248, 0xdce30aef, 0xa8624e80, 0x3a2073a7,
+    0x6a34da1d, 0x13ebf230, 0x89fdf9af, 0x62f91e1f, 0xe863ae14, 0x2f1df2a9, 0x4aa83d24, 0x17add691,
+    0x52346c36, 0xe0d15e54, 0x9ec3e52c, 0xfabde536, 0xb6e8ca1b, 0xe8155084, 0x8bc059be, 0x24d35e68,
+    0x6f9daf7a, 0x0b4cc27e, 0xabc2d6c1, 0xc17a64d2, 0xc4a88b3d, 0x3f0d58ca, 0xdd823315, 0x8da6b27e,
+    0x7b5ba4cf, 0xd4eb7799, 0x40927502, 0x7ff0b973, 0xf2b747a8, 0x1689c832, 0xfd466e69, 0x3c74f7b6,
+    0x950eedf7, 0x2d231a54, 0xbae49aea, 0xfd5d48e2, 0x0a778240, 0x4667923c, 0x2bf1ec1a, 0x4c4e092f,
+    0x8e1a0e9b, 0x5715911c, 0x64a520cb, 0xd4e02bac, 0xc6e0f6e9, 0x642f6733, 0xdc8ad46f, 0x9d2e6c9c,
+    0x6c62dd1a, 0xb267c23b, 0xa4f45f5d, 0xf8bbdbec, 0xc5bd1142, 0xb7456284, 0xa956d586, 0x6b7e3408,
+    0xf6bf2c2a, 0xdb1224ee, 0xad3576c5, 0x15c33940, 0xb6508ddc, 0xdd842eb2, 0x0b1ac05c, 0x1417ec64,
+    0xd3a05d46, 0x6322a114, 0x451c1cb1, 0x64e35915, 0x232191fe, 0x8b2c4383, 0x9fa902b1, 0x8187c80d,
+    0xdf4506dc, 0x2a2351cf, 0x79bb0b81, 0xc71c3fae, 0x4720648f, 0xf50d2c17, 0x05ecf26c, 0xc9a7d186,
+    0xa6fcbd2f, 0xa894c700, 0xf865ac93, 0x86aa5c52, 0xc468d5ae, 0xcdd76cfb, 0x20cff1a9, 0x13d08124,
+    0x0802c947, 0xc11ab6ef, 0x46618167, 0xe8350128, 0x5335c93a, 0x0c8fddee, 0x798eea40, 0xa90e79fa,
+    0x3d51438b, 0x797e22ed, 0x94875f39, 0x5e7b6027, 0xddc48278, 0xb2204e7a, 0x083b0663, 0x63ffb4f5,
+    0x4f00aeb4, 0xf72c3fb0, 0x8fc9b69f, 0xe56a0207, 0xe2778acb, 0x381fab3e, 0x8fbb8eff, 0xb10674ad,
+    0xeb17a99d, 0x68b48bc1, 0x098310e9, 0x77740555, 0x2b43af32, 0xf80c0baf, 0x2077a29b, 0x44ff79e1,
+    0x17ee078c, 0x1ded1912, 0x680fd5a3, 0x6a9d76d3, 0xbb046210, 0xf96af113, 0xfa0c8f6a, 0x15034e43,
+    0x231e8057, 0x4a9dff30, 0x7cffe8b0, 0xfabb0a88, 0xd28dbbbd, 0x3e2fc823, 0xec82302f, 0xff53087f,
+    0x107ec438, 0xca385138, 0x6443f6b1, 0xc118e1de, 0xf8da1e1d, 0xacdeb108, 0xaf5b4c01, 0x34f898bf,
+    0x4457e6cc, 0xe2516e08, 0x87c13ca2, 0xadec62a9, 0x8cdba031, 0xfdf54af8, 0x180139a9, 0xb92e1e13,
+    0x1f53ffc3, 0x59896068, 0x86137a90, 0xae5949fe, 0xa21114b0, 0xec0f1e21, 0x269d9b3e, 0x4f3cef5c,
+    0x5f187237, 0xf97f9fef, 0x6c26a11f, 0x8d3036a9, 0xc6d3979f, 0xeacdbce4, 0xa960acec, 0x263e40b3,
+    0x2736ddbe, 0x0e4a4622, 0xf77008c5, 0xda5343cf, 0x6990557d, 0x72e8e3fa, 0x96b5bab8, 0x8b486b76,
+    0x522e8ea1, 0x05637d14, 0x41891ea0, 0xd41e9586, 0xd237e5b6, 0xc8d3201c, 0x7d394548, 0x876b597f,
+    0xa121d85e, 0x2553d22c, 0xccf01d7b, 0x585832eb, 0x1276b214, 0x88ef60a4, 0x92d8ec57, 0x8ff4a833,
+    0x994c2113, 0x75fba173, 0x0bcde84b, 0xe9d174f4, 0x81b5c969, 0xbf4911b4, 0x258138d6, 0xc75a3e8d,
+    0xe48b0fac, 0x427d0bf4, 0xc144db49, 0xabd4ade9, 0x80a1b4e9, 0xb86fb88e, 0x0f1a0459, 0x792d4c40,
+    0x9547416b, 0x26f336c5, 0x06110b3e, 0xc513e2fd, 0x02837322, 0xa188cd7a, 0x76be54f9, 0x46ad165a,
+    0xb2e67246, 0xe1947cfc, 0xd829d906, 0x52e78e9c, 0x9abdeab4, 0x6264c5c0, 0x56cfaf3e, 0x7fd2f3d4,
+    0x82210d0e, 0x7e84e337, 0xfd5de1ff, 0x82c7b785, 0x6eca02fc, 0x0f939574, 0xc2acca24, 0xd8f066a4,
+    0xa6adb12c, 0xc0256fba, 0x46593d08, 0x05743323, 0x497edfb0, 0x4f74439e, 0xd9a316b3, 0x48f98034,
+    0x05651c3b, 0x1f06a707, 0xf97c31bf, 0x193079e4, 0x1673a371, 0x64525471, 0xc3b7e1f2, 0xc7491584,
+    0x2608627b, 0xe4de3c59, 0x53940a79, 0xb75a16f2, 0x539a42dc, 0x34ab81a3, 0x9017f233, 0x60bf1eb7,
+    0x0429d2d5, 0xbe801976, 0x58684725, 0x06915d95, 0xd4228b85, 0x45c7c2b5, 0x7c8053b1, 0x51352686,
+    0x4a6fdebd, 0x22554cd6, 0x1c69c20e, 0x6f246103, 0xbbbe5e4a, 0x188e2229, 0xd3a51ec3, 0x42deed2b,
+    0xa57825e1, 0xdc9be10d, 0x4954b166, 0x3fa285f5, 0x478ac46b, 0x1eded5d5, 0x543b3e8f, 0x38861159,
+    0xdc1f75b7, 0x002afd92, 0x7cadaaa3, 0x77289842, 0x3d11e9e1, 0xb66098fd, 0x2c5bb845, 0x1ef2e952,
+    0x8b44a58f, 0x88097e64, 0x9c564df1, 0x2226dda4, 0xd04f93d7, 0xf5ffa5a5, 0xefd1d811, 0xdb40a76c,
+    0x9336fdbf, 0x084ea03e, 0x41cd2fdb, 0xa3fe175e, 0x1abdbf67, 0xf0e0c22d, 0x4223d6c0, 0xf21d2c41,
+    0x097513a2, 0x7b089a06, 0x7b82a815, 0x167d7ab0, 0x6165debd, 0x4ce6cbb1, 0x405d5a15, 0xaedbe9a5,
+    0xc0971c24, 0x726982e7, 0xd3526784, 0x4d364a18, 0x42c6a5e2, 0x0e93354c, 0x4eed8c7e, 0xb2d1d560,
+    0xd9bcf014, 0xbea310d7, 0x41067774, 0x60332e98, 0x820e2a29, 0xdc2f5ad7, 0xd7625d9b, 0xdb6b08cb,
+    0xef8781d7, 0xfc62353a, 0xde8dba80, 0xa4d1b6ea, 0xeb80dae1, 0xe1e9473a, 0x40d38092, 0xb0d9597f,
+    0xdef63d0c, 0x596cefcf, 0x530086f4, 0x24e284e2, 0xb86bb121, 0x9bf9c01d, 0x59fcf82c, 0x3c1e6148,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000032768 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x0000d499,
+    0x00000000,
+    0xb1485471, 0xf16603b5, 0x6226e113, 0x4dc6c888, 0xeea4a43b, 0x2888144a, 0x7c4f561e, 0x933c14d4,
+    0xa23cb61d, 0x4e761864, 0x2b5b0598, 0xd235b819, 0x9984733a, 0xe85f4836, 0xbf9b9037, 0xac0f1c00,
+    0xdf384b6d, 0xad804ce9, 0x9c5cbbb6, 0xd014e5bc, 0xb53b3589, 0xa1853218, 0x33a6cbbc, 0xb32c8fa0,
+    0xbd17c1e9, 0x5a174793, 0x21d8584e, 0xc9beb3a1, 0x80809dcb, 0xc7f8319c, 0x75377cd0, 0x878f32e1,
+    0x94338e76, 0x294894e1, 0x357565eb, 0x6c39391e, 0xc1444022, 0x2bff2db7, 0x3c005592, 0x287fde3c,
+    0x7721024d, 0xd3aacfa3, 0x2fb96f7a, 0x0f6e8b7f, 0xc72fa889, 0xb6691196, 0x1b3bb59a, 0x92c802e9,
+    0x58ee4141, 0x144e8933, 0x50f0ab7e, 0xe1b14c10, 0xfe9bcd81, 0xb137a17b, 0xc8305ead, 0xa48a2e37,
+    0x6f6cd7bd, 0x69c36cc3, 0x210330e0, 0x0865f115, 0x20748968, 0xb474f8b7, 0x612c62be, 0xe4603e74,
+    0xf6c3c4ca, 0xe88fde10, 0x2627acb6, 0x1a238738, 0x92b51f4e, 0xa11d6da6, 0xbfb88040, 0xf9d2a36d,
+    0x8e13d08c, 0x9aa41f61, 0x2442e3ce, 0x8feabd5c, 0xaa47e8e7, 0xb76b47b5, 0x5ba22d74, 0x0419519d,
+    0x4b3c666c, 0x7426a518, 0x1eb9c8c7, 0x7f59f3eb, 0x04e5fba2, 0xcd83c7d9, 0x67af6401, 0xc75df083,
+    0x37e0631e, 0x1a94c2b9, 0xf76717b5, 0x8841ee8b, 0xc3941bb4, 0x0013e009, 0xf6200498, 0x0afa8ba9,
+    0xf34a7022, 0xb7f68baa, 0x14d4faac, 0x9038fcff, 0xb50dab71, 0xf39e12ca, 0xd7b5134d, 0xd6b4fb11,
+    0x4586cf3b, 0xcb0a7663, 0x87c36809, 0xbad6a512, 0xd2dd472f, 0x0ad359aa, 0xbe0ec912, 0x96619024,
+    0x4658c6b0, 0x00480438, 0xb59b647c, 0xd2884c58, 0x384599c4, 0x177b1875, 0x76bebceb, 0x5bde1d92,
+    0xb24a88db, 0x03dd4606, 0x89535107, 0xfe9d61d7, 0xfa96e17b, 0x206078f1, 0x0b0b1838, 0xd5ac6fa2,
+    0xf5568783, 0xdb90fd5e, 0x82b66e92, 0x24144280, 0x81dd2e3a, 0xf434ecd5, 0x5c75acfc, 0xbe378922,
+    0x0d4eb28a, 0x321fdbfc, 0xf7496669, 0xe2282040, 0x6b48d01f, 0x7eaead4f, 0xb5c7e00e, 0x0f602cdb,
+    0xbe0dd025, 0x1b1e1b65, 0x1cbd37b0, 0x59cac55b, 0x2a10540d, 0x9e912fbd, 0x58b8d5a9, 0xd7c87ed2,
+    0x52e7d4d9, 0xeb250399, 0xdfbbf89a, 0xba454b82, 0x70d8a4c9, 0x27a4f128, 0xce27f39c, 0x8310b6ba,
+    0xfce430d5, 0x4436c641, 0x2a23d8e0, 0x64e30377, 0xf135ab78, 0x1390269a, 0x95464e5c, 0x279fbc4c,
+    0xe7125b02, 0x13bdf92a, 0x30e8afdf, 0x79dd620a, 0x3c045a92, 0x70d34ee0, 0x0c79ffb8, 0xa20ab436,
+    0x04796a17, 0x7fc79ec0, 0x079a62da, 0xf7f4ebf5, 0x9f16b2bf, 0x5c630d66, 0xc69eef0b, 0x845bc9f9,
+    0x53bd7dbf, 0x15b884da, 0x6c49639b, 0xdc238de5, 0xb1f1940f, 0x66e55efe, 0xb0fc61f0, 0x3d7e9c09,
+    0xb1d0399c, 0x0c01f5bc, 0xfd01516f, 0xd9a0c6a1, 0x5fe7b8a0, 0x878c5bc6, 0x209de321, 0x055bdef1,
+    0x42aca1b4, 0xf5f69d2f, 0xf248bf31, 0x6511b590, 0x832883c5, 0xf89ca608, 0xfa528808, 0x46ea85f2,
+    0x8113cfec, 0xe182c4d8, 0xad06445c, 0xcadbd864, 0x5f1ec5bd, 0xb657b287, 0x790f8fd1, 0xab955f3d,
+    0x77f9572c, 0x9c00e934, 0x6660a80e, 0x7d0ac7c6, 0xec11ad51, 0x51efb774, 0x367fea87, 0xed9c36e7,
+    0x82566bc2, 0xe13b0f16, 0x0131eb61, 0xdf62f11a, 0xd89d1592, 0x07d93e0c, 0x3b231d56, 0x0d278cf9,
+    0xe86b817a, 0x467d6fa5, 0xc3b2ccf4, 0x3fd4a6d7, 0x7c2084ab, 0x04a35585, 0x5d50c32b, 0x181d244f,
+    0xe0916fd5, 0xc3c17de6, 0x5842bd83, 0xaadcbc3a, 0xcccd1ceb, 0xb404aa1f, 0xdd6ae841, 0xa244ffe2,
+    0x0425c4c8, 0xe1159918, 0xc5a25f90, 0xf5479408, 0xbad7e83b, 0x489da95b, 0xcbd3681a, 0xb6555f3b,
+    0x1c1cfadf, 0xd53936c9, 0x4041b028, 0x80f871fa, 0x0b2e8136, 0x87caa2f5, 0xa2171911, 0x25be35f1,
+    0xc521f634, 0x379380d1, 0x99cbc5a2, 0xfe5f431a, 0x3cbb4d0a, 0xd784240c, 0x5634b4ab, 0xf1eceac7,
+    0x6c823087, 0xf3d080e3, 0x94be84b0, 0xed1ff64d, 0x609c84b2, 0x8ec28a71, 0xae1ea2ab, 0x34d4f757,
+    0xcf8dd0c3, 0xfe3f97ef, 0x39d3c8e2, 0x56b8dd5e, 0x48b06c9b, 0x44df5921, 0xc34a2787, 0x01ba7046,
+    0xfcebad47, 0x692d6bf4, 0x6fbc80cd, 0x97076d6d, 0x2d12fd67, 0x8f4e29a4, 0x04a29047, 0x52d7ab5b,
+    0x8b177681, 0xd40b0bb8, 0x2782e9d3, 0x8eb55419, 0x3fdd6608, 0xb78de6fc, 0x245607fc, 0x54095566,
+    0x73f0e919, 0xf583c39e, 0xacb3bef6, 0x4b3171b1, 0x492678e8, 0xefdeb1f3, 0x37b72819, 0xd8fa1235,
+    0xb1d46ea7, 0x934794bd, 0x243cf414, 0x84833e4a, 0xdb65d387, 0x753a1934, 0x8a35ab3f, 0x720bfc3e,
+    0x3c120323, 0x90835fc5, 0x1006cda9, 0x35a77c12, 0xc88d0a67, 0x44b2459b, 0xa9dcbfd0, 0x9885e095,
+    0x2424b66e, 0x5f4377a8, 0x2eacb008, 0x237d023a, 0x406f35c6, 0x595d9267, 0x9bbc7fd1, 0x925ae807,
+    0xd8f066ec, 0xbb9cb446, 0x68fd78ae, 0x4d908101, 0x2a404717, 0x2cdef756, 0xeedd2f13, 0xce5d79ed,
+    0xc4fa2e76, 0xbaa22abe, 0xbfde17db, 0xddd4415c, 0x014721dd, 0x03e1272b, 0xa6f55b35, 0xfaa32b64,
+    0xa400aece, 0xa96601c7, 0xc1a20dcc, 0x119bb4ad, 0x0910f34a, 0xc85330d3, 0x257501d1, 0xcefd0d71,
+    0xfd7e5690, 0xb738c913, 0xfc2638f8, 0xdfa63f61, 0xda7a71ef, 0x3fea6c3c, 0xbed0c5f1, 0xa17237e1,
+    0x53632abe, 0x34b1098f, 0x8a098e80, 0xc7b39fa5, 0x58b41416, 0x8ae0ad34, 0xb4a9cd17, 0x19e6efa8,
+    0x2036c249, 0x0eaee4f5, 0x133d83d1, 0xa06fedff, 0x229116f8, 0x86a30dfe, 0xe5ff4091, 0xf8506eed,
+    0xcd5f4ad2, 0x9d85d274, 0x1b89be29, 0x67295290, 0x2afea115, 0x392d0a55, 0x02238cc2, 0x91333c0a,
+    0x43460adf, 0xe9b82895, 0x1fbe9a37, 0x320643dc, 0x5a1836c6, 0x1c4abc72, 0x0abe0aaa, 0x2070220b,
+    0xe051e0b6, 0xd2fc3932, 0xc62eef73, 0x0a7f72f1, 0x8d31617d, 0xa840922f, 0xba257127, 0xf1456239,
+    0x09ce6a8d, 0x062e5f0c, 0x4b007849, 0x7e34a0d6, 0xfc850b48, 0xa2e2136c, 0x2466f1d4, 0xa44c63ba,
+    0x609d2ef7, 0xe999a7a3, 0x413e5caa, 0xcb831b8f, 0xc10f5985, 0x28389b36, 0xe9cc907d, 0xb0528b6e,
+    0x9d3ccb63, 0x713a8ecf, 0x1cbf67a9, 0x39a1e3e7, 0xf5cd6b0b, 0x45ee40dd, 0x70aff294, 0xb0b98957,
+    0x26e1872c, 0x026a57e3, 0xbbd033e3, 0xa19df489, 0x12cd4cc4, 0x580edc4e, 0x8577c675, 0x211b7a0e,
+    0x41a2c205, 0x8c2b28ca, 0xe07da1a0, 0x8d620e2a, 0x17051c17, 0x96798dd9, 0xf0673582, 0x3690f5c3,
+    0xad289339, 0xeb6d8199, 0x2ef67d28, 0xb8fc528b, 0x94d8212d, 0xb46ed74d, 0x3cabf3aa, 0xd1ded96b,
+    0x099c9432, 0x1c3b6cd9, 0xa87149db, 0xf6d2e05e, 0x2b7bbede, 0x2116ee52, 0x45a6314a, 0xb61fc5f5,
+    0xd4d8a681, 0x54529724, 0x51cfdcbd, 0xc26efa9b, 0x8af4f0c8, 0xfc2ac14b, 0xe14c7c08, 0x036beb82,
+    0xf971e24b, 0x91d96ec5, 0xd0647b82, 0x61e135c4, 0x981cb7ce, 0xc025eeb4, 0x67f6f208, 0x4c1fdb59,
+    0x67f63b4b, 0x540e2ded, 0x2e20aee0, 0x346fdd5f, 0x04c15d2a, 0x53c65d92, 0xc02c34ad, 0x603fcbfc,
+    0xd3bd2da1, 0x3d4949bd, 0x401769f3, 0x0c6c71f8, 0x6e280ae4, 0xa32c45ad, 0x95e4a2ba, 0x0ec76dba,
+    0x556b1edf, 0xb45efe6a, 0x9edfe418, 0xd9c36eb0, 0xb214113b, 0x47e000d0, 0x7681c7b1, 0x5955221d,
+    0xf66e9bdf, 0x8124f4c1, 0xdcd33d76, 0xaa20154e, 0x6cb9b17d, 0x222a9c69, 0x2f7df8f7, 0x33b0b816,
+    0x79a82b6e, 0xfc2dc3a4, 0x9474abd5, 0x8a9be464, 0xbb9ade79, 0xa23852c4, 0x532507f6, 0x574d3694,
+    0xa26e5a25, 0x8300835a, 0x9844a848, 0x111bb6bc, 0x2b779aeb, 0x090074c3, 0xf64922bc, 0x1197841e,
+    0xce75b0b0, 0x7309aa85, 0x2206b63b, 0x7803d26d, 0xd60c188e, 0x4a49406d, 0x24cf7807, 0x2833edbe,
+    0x4e6fde1f, 0x170da98b, 0x6921a739, 0x4c12af15, 0x986ed0f7, 0x601d5eb7, 0x3edbad3b, 0x12ba0843,
+    0x43c99c58, 0x3b9e6512, 0x750d5752, 0x13d0fe99, 0x62fa51ac, 0x4cee1ee8, 0xb02dbf0f, 0x0ea3ae67,
+    0xe73e67d8, 0xfd615df4, 0xa7cad5c7, 0xbbc788a7, 0xc2dc352d, 0xccc02b2e, 0x83e0730c, 0xf9595085,
+    0x7487a509, 0x6fd3af4c, 0x91c2fcc6, 0x2b43516c, 0x5106330a, 0xe454aa1a, 0xc970f904, 0x7a8ee2ab,
+    0xfd61e779, 0xaef1bb18, 0xd2cd8b22, 0x9df06bff, 0xfbe3df85, 0xd6417813, 0x7cd134f8, 0x28065e97,
+    0x88b7db8f, 0xd8fc2f72, 0x3d94a4a1, 0x3db51707, 0xc250b099, 0xb2c641f5, 0x0989993f, 0xd86d79bf,
+    0xc573f642, 0xcf6adab4, 0xcbf9fd49, 0xf9d704ff, 0x502dccce, 0x1e1446a1, 0x62e48078, 0x7011d480,
+    0x6cdb42c0, 0xa8c2e5eb, 0xac80d355, 0x35a453f1, 0x074ceb06, 0xd5752961, 0x4b5b1648, 0x3ab10d9f,
+    0x29574ae6, 0x93d81272, 0x4eab78b6, 0x2a957db8, 0x28d44c81, 0x1187f906, 0x27518a39, 0x1a3b3a64,
+    0x4304358a, 0x32358bfa, 0x6a8f355c, 0x7c6aad95, 0xb478a083, 0x1d7393cb, 0x57a317b6, 0x7053b974,
+    0x0035cfda, 0xa9ef1bc2, 0x39a12b5d, 0x2bde5f04, 0xb57326a9, 0x8d5a7a0d, 0xd02f7cce, 0xc4ab77fb,
+    0xcc775654, 0x628bd593, 0x8e34e01e, 0xcb80d58e, 0xb75d10a7, 0x9bf3c0a1, 0xea84f5fe, 0x5b06312f,
+    0xc3fde8b7, 0xe9794536, 0x7d0a6e58, 0x90f10c5f, 0xf1131676, 0x005fb98a, 0x4836ae4e, 0x5943517e,
+    0x0141d679, 0xdbb4b7b9, 0xbc230a5b, 0xe16d68ef, 0x43aab98f, 0xdf2c6285, 0x052d7ce7, 0xc96f0cbe,
+    0x4f271747, 0xbda88675, 0x4ab5d637, 0x81377359, 0x433a604a, 0x412e8c60, 0x717e8d09, 0x5e1c1e5b,
+    0x40ce616d, 0x6d03b3af, 0xb949d6fc, 0xda8dd8c1, 0xbdd4cc60, 0x10187561, 0x1aadf10f, 0x884df3ae,
+    0xe5e3981e, 0xfd0f23fc, 0x5c11f79f, 0x8bd2ca37, 0x94f2f487, 0xac317026, 0x20f08d8e, 0xf4ffd38a,
+    0x37a5fe72, 0xf561b95d, 0xfd1f5059, 0xbf6d13e6, 0xae6d89f6, 0xb747a9c6, 0xaaef5b66, 0xa81eb554,
+    0xe1bfa12a, 0x10aa0ea9, 0x9e608b2e, 0xa4fb946c, 0x3a2b14d9, 0x9fb09175, 0xb233bdea, 0x06d88c0c,
+    0xbcadf9e8, 0x84519ade, 0x84fdad99, 0x7d7703e0, 0xe38436d5, 0x2564c3f9, 0xde13baf7, 0xbf5751e2,
+    0x0ae16172, 0xce96fe7c, 0x80b12f12, 0x691df264, 0x29aeb166, 0xd859f1cc, 0x942cad8e, 0xa1e8c0ec,
+    0xa5aeee06, 0xb4ebebe0, 0xd1bb20c7, 0xdf6fae38, 0xfa87ea6d, 0xc38f22ab, 0xfc169456, 0xfaec0e3c,
+    0x9ed13929, 0x988062fa, 0xed89088e, 0x8de69a14, 0xa70ec85b, 0xe1163bb0, 0xfdd5a7f4, 0xa4229a45,
+    0xc6324271, 0xfbcb9f46, 0x203dfe16, 0x56c57bb7, 0x42431edb, 0x64145fd9, 0x5567ac80, 0x41dd7da6,
+    0xa8ddf40e, 0x4eb3f1ac, 0x17bf63b7, 0xf243b91f, 0xd6d7c9d0, 0x642d3bbd, 0xeac0bce3, 0xf858f6d3,
+    0xfffcb336, 0xa26337f3, 0x2fca8eba, 0xc9f0793b, 0xf4425799, 0x88fc9612, 0x5489c4f8, 0x5afea765,
+    0xbf7e7dc6, 0x73fcd894, 0xce19f43d, 0xe2eac21d, 0xb40c5073, 0x4a442a5c, 0xe5535019, 0xad67fb68,
+    0xfcefc01c, 0x79beb114, 0x3a073552, 0xdf7fff35, 0x50211de6, 0x5bb9446e, 0xa155db15, 0x2fd19179,
+    0xfa5f6b26, 0xb8f28509, 0x084ff8ca, 0xcddb1070, 0x39f1fd28, 0x7ff094c4, 0xb39a66ed, 0x1652c454,
+    0xc3fe4e61, 0xd1a7e6e0, 0xbbef9022, 0xb256e951, 0x8f4913e1, 0x306bbfa7, 0xe36f0e25, 0x5672d690,
+    0xe73c94c7, 0x9dc7c488, 0x0b73d23b, 0x342d4036, 0xfa21864a, 0xde1da8c6, 0x908b2306, 0x2b39519e,
+    0xe7e7d39f, 0xe5e2c22d, 0xc3745363, 0xfd688010, 0x8b2188d9, 0xd3196235, 0xc9042efc, 0x008d8adf,
+    0x111fccff, 0xbc8d0faf, 0x2dea692c, 0x908be10d, 0xa616010f, 0xfd52395b, 0x20086558, 0x0d8ba034,
+    0x516a7571, 0x929f8665, 0x6761d796, 0x6f3b023a, 0xf809eec0, 0xdc5d67ce, 0x269b5b9b, 0x3849b1d6,
+    0x74519d69, 0xaf3497f5, 0x6e0ff486, 0xf13ef25e, 0xfd87541a, 0x659a279f, 0xe3fa3116, 0x68bb2aaf,
+    0x84f1f628, 0x02236d71, 0x7a642527, 0x685e8d30, 0x6d7f7f0d, 0xf3fad973, 0x43a15896, 0xa9499f9e,
+    0xe6ac862d, 0x6151252d, 0xcafefcda, 0xa1757565, 0xe501349d, 0xb17f2117, 0xdc3c2d71, 0x56328032,
+    0xde4dc3eb, 0x1b4c899f, 0x6bdcd3c0, 0x9994ab13, 0xc40a55c3, 0xe962b154, 0x01ec994c, 0x801fa997,
+    0xcd0716ed, 0x3c048737, 0xeab040a6, 0xbfff254c, 0xc4cae9b3, 0x6813c4e6, 0xcc4873b2, 0xd7cde43a,
+    0x52f729ce, 0x83d1eed6, 0xcadcceb1, 0xb6282478, 0xec241daa, 0xda20c668, 0x3357ca98, 0x9111b48e,
+    0xc0542a18, 0x1fd944ea, 0xda6920c7, 0x622037ab, 0x6ac0a7e1, 0x99ec0461, 0xe5faa1e1, 0xb1f84fa9,
+    0x918bb52d, 0xabfa5fc0, 0xf7c85888, 0x4e8feeae, 0xf5a17286, 0xf66fd2bd, 0x3b2f16ef, 0x93ac17cb,
+    0xbd72ed0a, 0x0d5eefdb, 0x98787b5d, 0xd61eca01, 0xb154b0b0, 0xc3d33c19, 0x492f72d9, 0x97d5be20,
+    0x085a4acd, 0x052e55a2, 0xe25b842a, 0x4f411763, 0xc2fecab5, 0x2fd34c84, 0x3c830387, 0xecf706db,
+    0x48abca93, 0x1b8631dc, 0x5bb4dc1b, 0x433f270d, 0xd394dba8, 0xe98bd2a9, 0xff6d2f03, 0x93a9c253,
+    0x3ba6834a, 0x0ba7e9a9, 0xc01c98d6, 0xf6011c4a, 0x2e7db518, 0x0ef156b9, 0xeedd554e, 0x003a0056,
+    0x5e0687fa, 0xd3363d82, 0xb83d37f2, 0x1fb06441, 0xd7f42363, 0x28f6d35e, 0xb37d252d, 0x240c468d,
+    0xecf1469b, 0x5180b7c1, 0xd0bd32c4, 0xa8c07079, 0x6c1e4f08, 0xed82f4c4, 0x0c5d5931, 0xe4b6dbb8,
+    0xfbe2cd3d, 0xf7fa0863, 0x21722f70, 0x7424db78, 0x3a1c30a9, 0xb2d4ab52, 0x7cc5c958, 0x1c5e4a0d,
+    0xe7cb0a5b, 0x93e0e6e2, 0x500fffa3, 0x6e77eda9, 0x36f60030, 0xe161ceba, 0x45c8aa63, 0xbf8fbea1,
+    0x569cc555, 0x956c55a7, 0xacfe5ce8, 0xf1afba92, 0x96bfa93a, 0x02361f81, 0xdc1a26e3, 0xa9091971,
+    0x83979d95, 0xc61d10f2, 0xef50b078, 0x1bd45030, 0x96981f5b, 0x0913d41f, 0x111b705f, 0xd3b9338d,
+    0xe90353ed, 0xc69adf63, 0x88cc18af, 0x61d1a257, 0x94f34acf, 0x478dea95, 0xfe445a63, 0x4e4ac11d,
+    0xac88f767, 0x1b420e84, 0x5dc61e75, 0xe25a34d2, 0x59a0be4a, 0x63c97f76, 0xecbda9e3, 0xe59ee750,
+    0x12c8df9a, 0x76d5b9ac, 0x5ca5693f, 0x5df6cc74, 0xff8c3290, 0x1cbb136f, 0xa97f3e88, 0x32106787,
+    0x8f8b4e17, 0x67bee704, 0xf84e14c0, 0x74a03be6, 0x4b24066f, 0xc13d3cb4, 0x49ac9a2b, 0x10521d33,
+    0xec663d4b, 0xb3090901, 0xefdacce2, 0x3d972264, 0x77d550b1, 0x093a14cc, 0x9c13750a, 0x32f6e89f,
+    0xdb6f6052, 0x8f5d5a56, 0x2b8a5dc4, 0x4f1013dc, 0xf0870690, 0xeea24ea2, 0x83ca10ba, 0xa1fb86c3,
+    0xaa016bed, 0x731d28ee, 0x552c82a3, 0xac622947, 0xa0ebb066, 0x9c4eb901, 0x493d3e0f, 0x5a9880eb,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000016384 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00006a4c,
+    0x00000000,
+    0x96a3a1d1, 0x7faf211a, 0x0c7c2892, 0x305f4e12, 0x072b211a, 0xceb5055e, 0x412e0901, 0xa7bb6c7d,
+    0x98ab274a, 0x132284c8, 0x0c3f7747, 0x1b93102a, 0xd5475992, 0x5092b445, 0x35fbdab2, 0x62df61c0,
+    0x441cd8b0, 0x460d2abf, 0x479adb9c, 0x174df73f, 0x71a118e6, 0x34b36ac6, 0xc39f1099, 0x75f31b3c,
+    0x7d10efc0, 0xe2af62c2, 0x6c45cbc5, 0x28217c88, 0x81de35c8, 0x85a863f9, 0x9287b137, 0x4bc177f0,
+    0xaca15f47, 0x5e7f35b1, 0x68679ed5, 0xa8586bd7, 0x493f3a17, 0x9a942adb, 0x6aeeebc4, 0x9fb216aa,
+    0x4777e744, 0x3e5a1129, 0x8f2436f8, 0x0ca05f46, 0x4fd421f8, 0x983b7402, 0xb197090b, 0xeaabd0bf,
+    0xd18f1e08, 0x6e5aaae5, 0x79cdd53a, 0x09903310, 0xd468f390, 0x6887da97, 0xb7e051cc, 0xe5bcea38,
+    0xba0ad4e3, 0xcdf7f75d, 0x164b457f, 0x777c8052, 0x142fec90, 0x089dbb58, 0xe2016f01, 0x5967feb5,
+    0xa566b6e5, 0x9786ad1c, 0xf139dfb6, 0xa37d5c5f, 0xa73455e5, 0x8dcb4a12, 0x17ae73ff, 0x3f01d2a5,
+    0x6ea13610, 0x1cfd3203, 0xa755e937, 0x45bb2db8, 0xd7baa736, 0xa45e8f79, 0xd38c66d6, 0x2a6724c2,
+    0xdf992349, 0xee4ab4d9, 0xa3207977, 0x6e57e158, 0xa547eb21, 0x74402e0f, 0xc09a1956, 0x32e4a19c,
+    0x9cb54f42, 0x5c8d4dee, 0x49142552, 0x878c5a32, 0xf83ef558, 0xc2266646, 0x97bf5be8, 0x2d476f6c,
+    0x5ac07792, 0x5b2a099b, 0x26bea0c4, 0x6c8dcb8d, 0x4ed9ebe4, 0xfe3ed3fe, 0x940f0226, 0x5c7a4bec,
+    0x876403ab, 0x1c10fdcc, 0xbf00e22d, 0xd4e71af0, 0x32ace6b0, 0xbb14d394, 0x986b5877, 0xd15565f1,
+    0x4ffe5cc4, 0xcce1400a, 0x8a96ca97, 0x01680b7e, 0xcbbdcb94, 0xf14ad4d1, 0x503381be, 0x8e2ef201,
+    0x38af7fd8, 0x10426051, 0x57b0b8fb, 0x3891ac23, 0x7ee6e709, 0xb66b1f33, 0xafd1d095, 0x3ad070e6,
+    0x4e2f3b9c, 0x8ac9ae15, 0x82107c77, 0x7dff2b5e, 0x13e87900, 0xa4eeac07, 0x16024c5a, 0x16903a0f,
+    0x9532b732, 0x18b21e52, 0x9ba7d122, 0x55db0823, 0x67c6c5ff, 0x7e12bdab, 0xdae3eb2e, 0xda33fe1e,
+    0x7f210c06, 0xce848044, 0x90e4a177, 0x6037b11e, 0x11497340, 0x2d9b9faa, 0x15da6cac, 0x6a1d7ffc,
+    0x013691d8, 0x3c20c897, 0x460353e3, 0x1e9858c0, 0x17ba02b5, 0xb84fe56e, 0xb2c8de64, 0x7779770b,
+    0x637428f7, 0x1dbf7a3b, 0x6758296b, 0x027f5bfc, 0x7318fb45, 0x8d7ed46b, 0x28bcffeb, 0x84572d37,
+    0xcaa147bd, 0x32dd4301, 0x6091a37d, 0x240d48e5, 0xcbb047ba, 0x87cba19f, 0xc5c42e38, 0xb39830cd,
+    0xa91588cd, 0xbdbcec97, 0xaf9f4a18, 0x94d3f472, 0x1458c23b, 0xcb2113ea, 0x8f0cea2e, 0xd2dcc91b,
+    0x77769107, 0x2e7a88cd, 0xd8efdab8, 0xa149808f, 0x02a77b8f, 0xd23ee4a8, 0x0782b953, 0x4afb236e,
+    0x1bc2a80e, 0xa9f31a2d, 0xde36fb38, 0xbb8c2866, 0x8664677f, 0x27bbcb1a, 0xc5cd091d, 0x33093ad9,
+    0x7f7314a4, 0xa9869f4c, 0xe0792f70, 0x3469d270, 0x3fa31956, 0x5991511a, 0x565c1907, 0x702d9566,
+    0x46f1aa84, 0x5bbda4ba, 0xce193713, 0xc348d85f, 0x2b72bc9c, 0x454d111e, 0x97e8cb06, 0x2c990ff2,
+    0x4827539c, 0x16910227, 0x8b518c23, 0x819d4977, 0x00298551, 0xcae596c7, 0xfaf96825, 0x8d7c6c25,
+    0x42c50259, 0x66865574, 0x93c73790, 0xe3045613, 0x8b6a0201, 0x46451fa6, 0xf02f65f5, 0x376361e5,
+    0xacd98504, 0x37474e2d, 0x044bc602, 0x5344c1d5, 0x10e59807, 0x8cdd1abe, 0xdfe4cd08, 0x65a917f0,
+    0xa04c838c, 0x306c5f7b, 0x30dba7b0, 0x1c6c1129, 0x4127c24a, 0x70fa108f, 0x73db5228, 0x21cbe0a0,
+    0x691d28ed, 0x4d9523a1, 0x2988b39f, 0xfbc27efc, 0xbd4a9c16, 0x60ea33da, 0xa8555a26, 0x8f13da96,
+    0x08477caa, 0x472b9794, 0xe21e115e, 0x1abdebd3, 0x7e175337, 0x01503e6e, 0xc2c6abaf, 0x71b607a1,
+    0x7dc5decd, 0x71d11542, 0x817f7522, 0x95c76413, 0x8264e132, 0x1b0f60d3, 0x15d37737, 0xfb7776c0,
+    0xab00c092, 0xc882b2c9, 0x2bab1928, 0x5427dbea, 0x0b8f7fa3, 0xd216326d, 0x6b9309bc, 0x98939693,
+    0x3f9c3cfa, 0x79f9fd5c, 0x63dec6fe, 0x36ab4c11, 0x936bc0dd, 0x5cb0a829, 0x98c45bfd, 0x44dad7e1,
+    0x18f30111, 0x2f82a0d4, 0x9ab445cd, 0x410f254f, 0x311d5d86, 0x4a58c283, 0x964bbef9, 0x5f083612,
+    0x50597e80, 0x8b6a5e04, 0xdcd4dd54, 0x8944d80f, 0x7599f73b, 0xc037c244, 0x756aca89, 0xe8596566,
+    0x7dd06781, 0x26e43c77, 0xab018b3b, 0x8d40171a, 0x482ba05f, 0x6eb38017, 0x67472f28, 0x9d773132,
+    0x158fdc0a, 0xcee7c5f5, 0x558aebb8, 0xe31ffe7f, 0xe34cc917, 0x81e6cc7b, 0x433d4b1e, 0xfe3e8ed4,
+    0x43767096, 0x1a1fe08d, 0xd58a6e84, 0x7c2148e7, 0x3ec1c150, 0xd6780f97, 0x7000da17, 0x27c8ae5d,
+    0xc80aeed7, 0xf59d12ac, 0x09b7cce6, 0xf56a6f11, 0x9acd6797, 0x695e5dd2, 0x88d61e6a, 0x945308d2,
+    0xbdda282a, 0xc0f0bba3, 0x11998746, 0x7bc97a14, 0xd3d0e612, 0x0585a41e, 0x0437ecd5, 0x5c804730,
+    0x02670144, 0x01ea4b16, 0xd3ad59ed, 0x7f008b4b, 0x6f630445, 0xce4a1428, 0x88f06856, 0x556508e7,
+    0x51a365c6, 0x896e58e3, 0x6d03017f, 0xa67b8b5c, 0xa92445fb, 0x5f9f0fed, 0x9f4436f5, 0xc5c35dcc,
+    0xf6e284f7, 0x017ad251, 0xc64390fe, 0x9b984629, 0x44d401ac, 0xd960e8da, 0x6eccb666, 0x96c31d1f,
+    0x21f84c44, 0xc0da6ba9, 0x745182b3, 0x21a3b463, 0xbd33f234, 0x4bd82a58, 0x35c258ba, 0x6212973e,
+    0xf26af1a0, 0x2b69ef26, 0x50945907, 0x04e1cce0, 0x6f2c6d27, 0x0928c569, 0x626f64ac, 0x4cfcf780,
+    0xf93ab9bf, 0x11ac84fc, 0x92b55c81, 0x69eacd62, 0x6d1d098f, 0xb608e8ff, 0xd1901851, 0xa1b21a50,
+    0x9ab0bc58, 0x959c3f04, 0xd9a7a9de, 0xfbc1bb9d, 0xc3fe7811, 0xeb5f8d17, 0xe0b9214a, 0x0046c252,
+    0x2e31554e, 0x33eb33fc, 0x0345297d, 0xd286f613, 0x76b04e35, 0xa03ad755, 0x4cbaf7ff, 0x9aaa131d,
+    0x795df8da, 0x9b5fe2b5, 0x87680279, 0x4147742b, 0x6ad972c4, 0xd30242fc, 0x8fa0a10c, 0x94d176e0,
+    0xfa28c938, 0x289f4663, 0x2fb40c15, 0x9724746a, 0xa4c4e55e, 0x354f37ca, 0xa96b7a86, 0xa5f40c8a,
+    0xf2c92581, 0x27b4c5b9, 0x68d8f743, 0x32b20da8, 0xd29ff35b, 0x682ac855, 0xd9469e7f, 0xf0425b19,
+    0x14edf83a, 0x184ec71d, 0x2f6255e0, 0x060c4774, 0x44bd05b0, 0x33b5610f, 0xce96e081, 0x3b3aadbc,
+    0x61d3f170, 0xf05ddc3a, 0x5a82c10a, 0xac14c75a, 0x03b0d2f7, 0xb74fe5ce, 0xbb3e399f, 0x5db8845b,
+    0x3348f1c9, 0xf8936c8d, 0xd25e2191, 0x9f8922c6, 0x5c54dc32, 0x9639c5cc, 0x380f0ee5, 0xefe7447a,
+    0x407287e9, 0x3b721afa, 0xb4483efa, 0x84926523, 0x3cf806ed, 0x2e59db8d, 0x3de6d438, 0xf199bc09,
+    0x9be8f689, 0x314ee793, 0x1dc67398, 0xf1dbae31, 0x3129ad55, 0x96ee603c, 0xc1d8590c, 0x55c02d0a,
+    0xff854b2a, 0x5c247fd5, 0x2c2bcd24, 0x1b37ecac, 0x1c39366a, 0xaf150a42, 0xc12bb9ab, 0x9c1c3f24,
+    0x2d09c9ab, 0x9364673e, 0xe9358e84, 0x4058bb3a, 0x2a9adb13, 0x9a7aaaf2, 0x16fb124d, 0x13036852,
+    0xff8fbcaf, 0x00ad3dec, 0xf22d9ed8, 0xf78bbadc, 0x2330cbcc, 0x7ea0a0f8, 0x0d03424a, 0xd31a25f1,
+    0xe8f2d3c0, 0x3e2e71d3, 0xeac57a92, 0x572276d0, 0x1db9991f, 0xc1303ecc, 0xa1bf140a, 0x9552b716,
+    0x711eade1, 0xc06d4163, 0xf23d466d, 0x0320f13e, 0x4558be8b, 0x04671804, 0xe0c3962a, 0x2c327787,
+    0x5ca3a1f4, 0x5af9d4aa, 0xbf46d814, 0x86c671d9, 0xf63cd326, 0x2ec39a8f, 0x7f9cbb2b, 0x41ab3557,
+    0xc18bc1ea, 0x18ca542d, 0x06b1a95f, 0x5c81aa36, 0x4beb68b0, 0xb900dde1, 0x34952236, 0x9670175b,
+    0x766f74c4, 0xb4c7ac8c, 0x02d20dcc, 0x0cd6d55c, 0x860a1054, 0x61481ef9, 0x8d6b5b26, 0xc501a2e6,
+    0xf8a49b3d, 0x51c714a5, 0x4037eedb, 0x6351050a, 0x7ba5de02, 0x26ee7b82, 0x0b89a324, 0xcf9b2a56,
+    0x95761e83, 0x47858684, 0x32587358, 0x825794e0, 0x9014e4c8, 0x82a8f5ad, 0x0ef8b623, 0xcff78e18,
+    0x6b1ced0c, 0x17b57376, 0xfd6c1deb, 0x63e266c7, 0x4ad5cad5, 0x51ffbfab, 0x56050d90, 0x83416147,
+    0x22671e62, 0x1ffdf27b, 0x1ba8302a, 0xfa768b4a, 0x10de6947, 0xfdbaf9a9, 0xecf0e165, 0xe9688806,
+    0x6a09fb3c, 0xd4212b13, 0xff08eafd, 0xcb87acaf, 0xb523d4b6, 0x76709c2b, 0xcaf87067, 0x8de7d729,
+    0xea48b1cd, 0x11afcc74, 0x4c94ffbe, 0x3603dce4, 0x363ba404, 0x1a24efef, 0xa00e7b07, 0x86cdceef,
+    0xc5d19314, 0x07517fe0, 0xb42a4ced, 0xaee10c3f, 0xd1e2e517, 0x20bd27c2, 0xa8a5ee35, 0x414d9125,
+    0x8f967cd1, 0x4899933e, 0x00040000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000 }, /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000008192 */
+  { 0x00000000,
+    0x40000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00003525,
+    0x00000000,
+    0xc4605202, 0x8a20979a, 0xc94c153f, 0x804a4a92, 0x65761fb2, 0x444e2267, 0xdd5cf7c9, 0x45f22a3f,
+    0xfff0d1d2, 0xe18469b1, 0xea38aac7, 0xe917a569, 0x2db0d164, 0xea315c84, 0x8092c808, 0xdf0f983a,
+    0x427aba16, 0xa9ee9d72, 0x50376d8d, 0xc86bf968, 0xae401807, 0x4b7946be, 0xef252b3b, 0x445d1ac4,
+    0x767cf643, 0xc56c201f, 0x562479b1, 0x434ea813, 0xe472ada9, 0x72838eb3, 0xf06aafbc, 0x0d1dba5a,
+    0x0179bb3a, 0x94a5d90e, 0x4358f0cf, 0xf3d2e932, 0xdf607afd, 0x9a5fb8c6, 0x935e0d28, 0x1a90e834,
+    0xd85da8d0, 0x9cb571b3, 0x8f7af323, 0xb80769ec, 0x7715fad6, 0x4bfecdc8, 0x595ddc66, 0x76e0014a,
+    0x330fd8e0, 0x715d853c, 0xddd19593, 0x0549748e, 0x88092df9, 0x7c01a627, 0xab09d0af, 0xfa42892b,
+    0x77be6e7e, 0x83fb0dfc, 0x936e14b8, 0xfa562fc1, 0x64a89e21, 0x9a9b17f5, 0x13a1ae7b, 0xe53a02ed,
+    0x994f8469, 0xe9cda4ec, 0xe227fa03, 0x91834114, 0x27189df0, 0x08ad805b, 0x341fe9e3, 0xa9c7ca39,
+    0x724ab0b0, 0x64bdb1a4, 0x733f5bbb, 0x3d330b45, 0xbf209fed, 0x7eb89e5d, 0xe0ca1d78, 0xd258aa11,
+    0x8597accc, 0xe12f59db, 0x1c86f67a, 0xffc07656, 0xc6834992, 0xa8211713, 0x78211e33, 0x5bcb6a66,
+    0x8b1c1bae, 0xb4a6801a, 0x06232a68, 0x0e9d12a8, 0x375d2c83, 0xfbac4cd4, 0x7fb97eef, 0x1201f8a1,
+    0x374ce868, 0x7baced3e, 0x76e57105, 0xce504acd, 0xf78d987f, 0x1ad61bb3, 0x792c2336, 0x6352dbbd,
+    0xfe6bd06d, 0x6ba531f3, 0x32971921, 0x231cf734, 0xe69224c1, 0x00de4676, 0xf92956df, 0xd745d7ad,
+    0x83b32c1c, 0x5ae74261, 0xb09894e9, 0xfbd39c8e, 0x49dab7ea, 0x8d407e81, 0x51f624d5, 0x63865b47,
+    0x0671d675, 0x9834ceef, 0x19f7d162, 0x559e3646, 0xa09b9ad9, 0xb32b594d, 0x516925db, 0x154335b7,
+    0x2a9092e3, 0x0e0473e9, 0x9d4dd39f, 0xb4418670, 0xaf66588a, 0x187fd96a, 0x696e37a3, 0x48b60c12,
+    0x08f11edc, 0xa1fcf1ad, 0x046c2790, 0xa13dc66a, 0x59219433, 0x9fd215f6, 0xef3dd46f, 0x91571b6b,
+    0x341500c4, 0xf9c83a79, 0x884b2e3a, 0xb05bfcdb, 0x2fdcc660, 0x571c27c4, 0xbfdd5e33, 0xcc7a64d4,
+    0xfd6da38f, 0x7e4c1189, 0x9e399273, 0x8260ec83, 0xb3658729, 0x2f51f9b1, 0xc19b3d1a, 0xf862e504,
+    0xd593be27, 0x967a09d1, 0xa5f944d5, 0x3fefb16a, 0xfc4fd9ea, 0xf77726e7, 0xe8dfdcf5, 0x570dbd67,
+    0xe0f0f0fc, 0x556c1171, 0x2ae5b58f, 0x137ec4fd, 0xbc88167e, 0x4a3e5646, 0x45566257, 0x72b127a9,
+    0x70a17c21, 0xc05a4810, 0x40dcf770, 0x4e430264, 0xfd91f45d, 0x146f45a8, 0x72195d42, 0x698a7815,
+    0xbf28c5d4, 0xebd9f36b, 0xa1da9aa8, 0x5b833c3f, 0x5ef50e5c, 0xe9f309b0, 0x7c5bb1b2, 0x4b002a5e,
+    0x30721456, 0x52a270ea, 0x7a3f51fa, 0xbab3913e, 0x3612bdb8, 0x2c5c4d21, 0xe79b1ec5, 0xfe852477,
+    0x7b0fa39b, 0xd08168c9, 0x41c26fab, 0xd349d71f, 0x19bc6b91, 0x175ec76e, 0x252575e3, 0xbdd94337,
+    0xd6eff715, 0xec2ed94e, 0xece860e9, 0xf4e04372, 0xf43c14d0, 0x2e7841dc, 0xd3cf3b5b, 0xefd70795,
+    0xb7bfd4a4, 0x8550652e, 0xc3ffc0c4, 0x0a7996b7, 0x2558a173, 0x82eb4d2f, 0x656a682e, 0x87932948,
+    0xa07735e4, 0xd67318df, 0xda06fa33, 0xdde8121d, 0xd15c0e4b, 0x62cabfd8, 0x60652f9a, 0x1857b398,
+    0x222189d3, 0x2d0e7172, 0x128a9d65, 0x41b9fc71, 0x1e2b7191, 0x31a72cf4, 0x36db874b, 0x6902349e,
+    0x09e6c315, 0x80501e9a, 0x652b5085, 0x79fb046e, 0x747f1d8e, 0x55e559aa, 0x0e350613, 0x964260a0,
+    0x9bb2fb2a, 0xad43d795, 0xaf28fc1a, 0x1c618f5c, 0x83d6cb3f, 0x70f1e0c3, 0x029ed9d5, 0x3888385a,
+    0x8e77fc2c, 0xf6343860, 0x9cec2764, 0x48a95738, 0x83fe1612, 0x0b78262e, 0xc2d1bbcd, 0xa9100a5f,
+    0x19f02d39, 0x099697f3, 0x050e012e, 0x02584690, 0x22c32b22, 0x4e285c1d, 0x019567cd, 0xaf5ed44a,
+    0xe87b7d57, 0x9a1e46fe, 0x3402d6cf, 0x6585bf5c, 0xf1c6837c, 0x21ad7fbe, 0xeb371743, 0xd03a3e99,
+    0x9cf89047, 0xb4fc3cf8, 0x6980b239, 0x848a2abd, 0x2770d5cb, 0x7d00d81d, 0xa7e1b4c2, 0x8dcb32ae,
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+                         0000000000000000000000000000000000000000000000000000000000000000000000002048 */
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+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x00000000,
+    0x00000000 }  /* 10**0000000000000000000000000000000000000000000000000000000000000000000000000000\
+                         0000000000000000000000000000000000000000000000000000000000000000000000000001 */
+};
+
+#else  /* BITS_PER_EMUSHORT != 32 */
+#error ei_ptens_256_emu32msb.dfn: ERROR: Failed size of EMUSHORT data type.
+#endif /* BITS_PER_EMUSHORT == 32 */
+
+#endif /* __REAL_EINTERNAL_PTENS_256_32MSB */